[
  {
    "path": ".gitattributes",
    "content": "*.ts linguist-language=JavaScript\n"
  },
  {
    "path": ".gitignore",
    "content": "## macOS\n.DS_Store\n\n## emacs\n*~\n\\#*\n.\\#*\n\n## vim\n*.swp\n*.swo\n\n## VSCode\n.vscode/\n\n## PROJECT::GENERAL\nlogs/\n*.log\nnpm-debug.log*\nnode_modules/\ntypings/\n.npm\n.eslintcache\n\n## PROJECT::SPECIFIC\ndst/\n\n## Ignore Visual Studio temporary files, build results, and\n## files generated by popular Visual Studio add-ons.\nobj/\n*.dll\n*.dll.config\n*.pdb\n*.suo\n\n# Chutzpah Test files\n_Chutzpah*\n"
  },
  {
    "path": "LICENSE",
    "content": "The MIT License (MIT)\n\nCopyright (c) 2017 wellflat\n\nPermission is hereby granted, free of charge, to any person obtaining a copy of\nthis software and associated documentation files (the \"Software\"), to deal in\nthe Software without restriction, including without limitation the rights to\nuse, copy, modify, merge, publish, distribute, sublicense, and/or sell copies of\nthe Software, and to permit persons to whom the Software is furnished to do so,\nsubject to the following conditions:\n\nThe above copyright notice and this permission notice shall be included in all\ncopies or substantial portions of the Software.\n\nTHE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\nIMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, FITNESS\nFOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE AUTHORS OR\nCOPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER\nIN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN\nCONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE SOFTWARE.\n"
  },
  {
    "path": "README.md",
    "content": "## Image processing and Machine learning labs &ensp; [![License: MIT](https://img.shields.io/badge/License-MIT-blue.svg?style=flat-square)](https://opensource.org/licenses/MIT)\n\ncomputer vision, image processing and machine learning on the web browser or node\n\n### note\n\n* Fast Fourier Transform (1D/2D-FFT)\n* Stereo Matching\n* Poisson Image Editing\n* Line Segment Detector\n* Corner Detection\n* Fish-Eye Transform\n* Image Processing Filters\n* Image Histogram Calculation\n* Image Feature Extraction\n* Decision Tree Learning\n* K-Means++ Clustering\n* Logistic Regression\n* Adaptive Regularization of Weight Vectors (AROW)\n* Soft Confidence Weighted Learning (SCW)\n* Gradient Boosting Decision Tree (GBDT)\n* Neural Network (Denoising Autoencoders)\n* t-Distributed Stochastic Neighbor Embedding (t-SNE)\n* 3D Shape Drawing (Mobius Strip, Klein Bottle, Heart Surface ...)\n* WebGL Samples\n* ONNX Runtime for Web (ORT Web)\n* etc..\n\n### demo\n[Demo Site](https://rest-term.com/labs/html5/index.html) \n\n### license\n\nCopyright &copy; 2017 wellflat Licensed under the [MIT License][MIT]\n\n[MIT]: http://www.opensource.org/licenses/mit-license.php\n"
  },
  {
    "path": "cv/corner_detection/README.md",
    "content": "# Corner Detection Module\n\n## description\n\nCorner detection using Harris operator\n\nsee also [blog entry][entry]\n\n### sample\n[![corner_detection](https://raw.github.com/wiki/wellflat/imageprocessing-labs/images/room_corners.jpg)](http://rest-term.com/labs/html5/corner.html)\n\n(Tests: IE9, Firefox15.0, Chrome21.0, Safari6.0, Opera12.0)\n\n## usage\n\n```js\n// parameters for Harris corner detection\n// blockSize: Neighborhood size (3×3 or 5×5)\n// k: Harris detector free parameter (recommends 0.04 ~ 0.15)\n// qualityLevel: Parameter characterizing the minimal accepted quality of image corners\nvar params = { blockSize: 3, k: 0.04, qualityLevel: 0.01 };\n// img: ImageData object\n// returns Array of detected corners\nvar corners = CornerDetector.detect(img, CornerDetector.HARRIS, params);\n\n```\n\nlicense\n----------\nCopyright &copy; 2014 wellflat Licensed under the [MIT License][MIT]\n\n[MIT]: http://www.opensource.org/licenses/mit-license.php\n[entry]: http://rest-term.com/archives/2986/\n"
  },
  {
    "path": "cv/corner_detection/cornerdetect.js",
    "content": "/**\n * Corner Detector module\n */\n(function() {\n  var CornerDetector;  // top-level namespace\n  var _root = this;    // reference to 'window' or 'global'\n\n  if(typeof exports !== 'undefined') {\n    CornerDetector = exports;   // for CommonJS\n  } else {\n    CornerDetector = _root.CornerDetector = {};\n  }\n\n  var version = {\n    release: '0.1.0',\n    date: '2012-09'\n  };\n  CornerDetector.toString = function() {\n    return \"version \" + version.release + \", released \" + version.date;\n  };\n\n  // core operations\n  var core = {\n    detect : function(img, type, params) {\n      core._validateParams(params);\n      switch(type) {\n      case 'eigen':\n        // implement ?\n        throw new Error('not implementation error');\n        break;\n      case 'harris':\n        return core._detectHarris(img, params);\n        break;\n      case 'fast':\n        // implement ?\n        throw new Error('not implementation error');\n        break;\n      default:\n        return core._detectHarris(img, params);\n        break;\n      }\n    },\n    _validateParams : function(params) {\n      var _params = ['qualityLevel', 'blockSize', 'k'], msg = '';\n      for(var i=0; i<_params.length; i++) {\n        if(!params.hasOwnProperty(_params[i])) {\n          msg = 'invalid parameters, required \\'' + _params[i] + '\\'';\n          throw new Error(msg);\n        }\n        if(!parseFloat(params[_params[i]])) {\n          msg = 'invalid parameters, required number \\'' + _params[i] + '\\'';\n          throw new TypeError(msg);\n        }\n      }\n      if(params.blockSize%2 !== 1) {\n        throw new Error('odd number required \\'blockSize\\'');\n      }\n      if(params.blockSize > 5) {\n        throw new Error('unsupported \\'blockSize\\' ' + params.blockSize);\n      }\n    },\n    /* Harris Operator */\n    _detectHarris : function(img, params) {\n      var w = img.width,\n          h = img.height,\n          imgdata = img.data,\n          len = w*h << 2,\n          src, cov, eig, corners,\n          r = (params.blockSize - 1)/2,\n          dx, dy, dxdata, dydata, kernelx, kernely, maxval, quality,\n          x, y, kx, ky, i, j, step, tmp;\n\n      if(typeof Float32Array === 'function') {\n        src = cov = new Float32Array(w*h*3);\n        corners = new Float32Array(w*h);\n      } else {\n        src = cov = corners = [];\n      }\n      // change container, uint8 to float32\n      for(i=0,j=0; i<len; i+=3,j+=4) {\n        src[i] = imgdata[j];\n        src[i + 1] = imgdata[j + 1];\n        src[i + 2] = imgdata[j + 2];\n      }\n      // apply sobel filter\n      switch(params.blockSize) {\n      case 3:\n        kernelx = [-1, 0, 1, -2, 0, 2, -1, 0, 1]; // 3*3 kernel\n        kernely = [-1, -2, -1, 0, 0, 0, 1, 2, 1];\n        break;\n      case 5:\n        kernelx = [1,  2, 0,  -2,  -1,  // 5*5 kernel\n                   4,  8, 0,  -8,  -4,\n                   6, 12, 0, -12,  -6,\n                   4,  8, 0,  -8,  -4,\n                   1,  2, 0,  -2,  -1];\n        kernely = [-1, -4,  -6, -4, -1,\n                   -2, -8, -12, -8, -2,\n                    0,  0,   0,  0,  0,\n                    2,  8,  12,  8,  2,\n                    1,  4,   6,  4,  1];\n        break;\n      }\n      dx = core._convolution(src, w, h, kernelx, 1);\n      dy = core._convolution(src, w, h, kernely, 1);\n      // store squared differences directly\n      for(y=0; y<h; y++) {\n        step = y*w;\n        for(x=0; x<w; x++) {\n          i = (step + x)*3;\n          dxdata = dx[i];\n          dydata = dy[i];\n          cov[i] = dxdata*dxdata;      // dxx\n          cov[i + 1] = dxdata*dydata;  // dxy\n          cov[i + 2] = dydata*dydata;  // dyy\n        }\n      }\n      // apply box blur filter\n      cov = core._blur(cov, w, h, (params.blockSize - 1)/2);\n      // compute Harris operator\n      eig = core._calcHarris(cov, w, h, params.k);\n      // suppress non-maxima values\n      for(y=r; y<h-r; y++) {\n        step = y*w;\n        for(x=r; x<w-r; x++) {\n          i = step + x;\n          tmp = eig[i];\n          for(ky=-r; (tmp!==0) && (ky<=r); ky++) {\n            for(kx=-r; kx<=r; kx++) {\n              if(eig[i + ky*w + kx] > tmp) {\n                tmp = 0;\n                break;\n              }\n            }\n          }\n          if(tmp !== 0) {\n            corners[i] = eig[i];\n          }\n        }\n      }\n      // threshold\n      maxval = 0;\n      len = eig.length;\n      for(i=0; i<len; i++) {\n        if(corners[i] > maxval) maxval = corners[i];\n      }\n      quality = maxval*params.qualityLevel;\n      for(j=0; j<len; j++) {\n        if(corners[j] <= quality) {\n          corners[j] = 0;\n        }\n      }\n      return corners;\n    },\n    _calcHarris : function(data, width, height, k) {\n      var w = width,\n          h = height,\n          cov = data,\n          M, A, B, C, step, i;\n\n      if(typeof Float32Array === 'function') {\n        M = new Float32Array(w*h*3);\n      } else {\n        M = [];\n      }\n      for(var y=0; y<h; y++) {\n        step = y*w;\n        for(var x=0; x<w; x++) {\n          i = (step + x)*3;\n          A = cov[i];\n          B = cov[i + 1];\n          C = cov[i + 2];\n          M[step + x] = (A*C - B*B - k*(A + C)*(A + C));\n        }\n      }\n      return M;\n    },\n    /* convolution filter (as sobel/box filter, sigle channel) */\n    _convolution : function(data, width, height, kernel, divisor) {\n      var w = width,\n          h = height,\n          src = data,\n          dst,\n          div = 1/divisor,\n          r = Math.sqrt(kernel.length),\n          buff = [],\n          i, j, k, v, px, py, step, kstep;\n\n      if(divisor === 0) {\n        throw new Error('division zero');\n      }\n      if(r%2 !== 1) {\n        throw new Error('square kernel required');\n      }\n      if(typeof Float32Array === 'function') {\n        dst = new Float32Array(w*h*3);\n      } else {\n        dst = [];\n      }\n      r = (r - 1)/2;\n      for(var y=0; y<h; y++) {\n        step = y*w;\n        for(var x=0; x<w; x++) {\n          buff[0] = buff[1] = buff[2] = 0;\n          i = (step + x)*3;\n          k = 0;\n          // convolution\n          for(var ky=-r; ky<=r; ky++) {\n            py = y + ky;\n            if(py <= 0 || h <= py) py = y;\n            kstep = py*w;\n            for(var kx=-r; kx<=r; kx++) {\n              px = x + kx;\n              if(px <= 0 || w <= px) px = x;\n              j = (kstep + px)*3;\n              buff[0] += src[j]*kernel[k];\n              buff[1] += src[j + 1]*kernel[k];\n              buff[2] += src[j + 2]*kernel[k];\n              k++;\n            }\n          }\n          dst[i] = buff[0]*div;\n          dst[i + 1] = buff[1]*div;\n          dst[i + 2] = buff[2]*div;\n        }\n      }\n      return dst;\n    },\n    /* box blur filter */\n    _blur : function(data, width, height, radius) {\n      var kernel = [],\n          size = (2*radius + 1)*(2*radius + 1);\n      for(var i=0; i<size; i++) {\n        kernel[i] = 1.0;\n      }\n      return core._convolution(data, width, height, kernel, 1);\n    }\n  };\n  // aliases (public APIs and constants)\n  CornerDetector.EIGEN = 'eigen';\n  CornerDetector.HARRIS = 'harris';\n  CornerDetector.FAST = 'fast';\n  CornerDetector.detect = core.detect;\n}).call(this);\n"
  },
  {
    "path": "cv/fft/README.md",
    "content": "# Fast Fourier Transform (FFT) Module\n\n## description\n\n1D-FFT/IFFT, 2D-FFT/IFFT, Frequency Filtering\n\nsee also [blog entry][entry]\n\n### sample\n[![2d_fft](https://raw.github.com/wiki/wellflat/imageprocessing-labs/images/fft_filter.jpg)](http://rest-term.com/labs/html5/fft.html)\n\n(Tests: IE9, Firefox8.0, Chrome16.0, Safari5.0, Opera11.60)\n\n## usage\n### 1D-FFT/IFFT\n\n```js\nvar x1 = [], y1 = [], x2 = [], y2 = [], x3 = [], y3 = [], N = 32;\nfor(var i=0; i<N; i++) {\n  x1[i] = x2[i] = 6*Math.cos(6*Math.PI*i/N) + 4*Math.sin(18*Math.PI*i/N);\n  y1[i] = y2[i] = 0.0;\n}\n// initialize\nFFT.init(N);\n// 1D-FFT\nFFT.fft1d(x2, y2);\nfor(var j=0; j<N; j++) {\n  x3[j] = x2[j];\n  y3[j] = y2[j];\n}\n// 1D-IFFT\nFFT.ifft1d(x3, y3);\nvar out = \"\";\nfor(var i=0; i<N; i++){\n  out += i + \": (\" + x1[i] + \", \" +y1[i]+ \") (\" +\n    x2[i] + \", \" + y2[i] + \") (\" + x3[i] + \", \" + y3[i] + \")\\n\";\n}\nconsole.log(\"N: (Source) (FFT) (IFFT)\");\nconsole.log(out);\n```\n\n### 2D-FFT/IFFT, Frequency Filtering (High-Pass/Low-Pass/Band-Pass)\n\n```js\n// for HTML5 Canvas\nvar spectrum = document.querySelector('#Spectrum').getContext('2d'),\n    result = document.querySelector('#Result').getContext('2d'),\n    image = new Image();\nimage.src = '/path/to/image';\nimage.addEventListener('load', function(e) {\n  var w = image.width,\n      h = image.height, // w == h\n      re = [],\n      im = [];\n\n  // initialize, radix-2 required\n  FFT.init(w);\n  FrequencyFilter.init(w);\n  SpectrumViewer.init(spectrum);\n  spectrum.drawImage(image, 0, 0);\n  var src = spectrum.getImageData(0, 0, w, h),\n      data = src.data,\n      radius = 30,\n      i, val, p;\n  for(var y=0; y<h; y++) {\n    i = y*w;\n    for(var x=0; x<w; x++) {\n      re[i + x] = data[(i << 2) + (x << 2)];\n      im[i + x] = 0.0;\n    }\n  }\n  // 2D-FFT\n  FFT.fft2d(re, im);\n  // swap quadrant\n  FrequencyFilter.swap(re, im);\n  // High Pass Filter\n  FrequencyFilter.HPF(re, im, radius);\n  // Low Pass Filter\n  FrequencyFilter.LPF(re, im, radius);\n  // Band Path Filter\n  FrequencyFilter.BPF(re, im, radius, radius/2);\n  // render spectrum\n  SpectrumViewer.render(re, im);\n  // swap quadrant\n  FrequencyFilter.swap(re, im);\n  // 2D-IFFT\n  FFT.ifft2d(re, im);\n  for(var y=0; y<h; y++) {\n    i = y*w;\n    for(var x=0; x<w; x++) {\n      val = re[i + x];\n      p = (i << 2) + (x << 2);\n      data[p] = data[p + 1] = data[p + 2] = val;\n    }\n  }\n  // put result image on the canvas\n  result.putImageData(src, 0, 0);\n}, false);\n```\n\nlicense\n----------\nCopyright &copy; 2014 wellflat Licensed under the [MIT License][MIT]\n\n[MIT]: http://www.opensource.org/licenses/mit-license.php\n[entry]: http://rest-term.com/archives/2966/\n"
  },
  {
    "path": "cv/fft/fft.js",
    "content": "/**\n * Fast Fourier Transform module\n * 1D-FFT/IFFT, 2D-FFT/IFFT (radix-2)\n */\n(function() {\n  var FFT;           // top-level namespace\n  var _root = this;  // reference to 'window' or 'global'\n\n  if(typeof exports !== 'undefined') {\n    FFT = exports;   // for CommonJS\n  } else {\n    FFT = _root.FFT = {};\n  }\n\n  var version = {\n    release: '0.3.0',\n    date: '2013-03'\n  };\n  FFT.toString = function() {\n    return \"version \" + version.release + \", released \" + version.date;\n  };\n\n  // core operations\n  var _n = 0,          // order\n      _bitrev = null,  // bit reversal table\n      _cstb = null;    // sin/cos table\n  var core = {\n    init : function(n) {\n      if(n !== 0 && (n & (n - 1)) === 0) {\n        _n = n;\n        core._initArray();\n        core._makeBitReversalTable();\n        core._makeCosSinTable();\n      } else {\n        throw new Error(\"init: radix-2 required\");\n      }\n    },\n    // 1D-FFT\n    fft1d : function(re, im) {\n      core.fft(re, im, 1);\n    },\n    // 1D-IFFT\n    ifft1d : function(re, im) {\n      var n = 1/_n;\n      core.fft(re, im, -1);\n      for(var i=0; i<_n; i++) {\n        re[i] *= n;\n        im[i] *= n;\n      }\n    },\n    // 2D-FFT\n    fft2d : function(re, im) {\n      var tre = [],\n          tim = [],\n          i = 0;\n      // x-axis\n      for(var y=0; y<_n; y++) {\n        i = y*_n;\n        for(var x1=0; x1<_n; x1++) {\n          tre[x1] = re[x1 + i];\n          tim[x1] = im[x1 + i];\n        }\n        core.fft1d(tre, tim);\n        for(var x2=0; x2<_n; x2++) {\n          re[x2 + i] = tre[x2];\n          im[x2 + i] = tim[x2];\n        }\n      }\n      // y-axis\n      for(var x=0; x<_n; x++) {\n        for(var y1=0; y1<_n; y1++) {\n          i = x + y1*_n;\n          tre[y1] = re[i];\n          tim[y1] = im[i];\n        }\n        core.fft1d(tre, tim);\n        for(var y2=0; y2<_n; y2++) {\n          i = x + y2*_n;\n          re[i] = tre[y2];\n          im[i] = tim[y2];\n        }\n      }\n    },\n    // 2D-IFFT\n    ifft2d : function(re, im) {\n      var tre = [],\n          tim = [],\n          i = 0;\n      // x-axis\n      for(var y=0; y<_n; y++) {\n        i = y*_n;\n        for(var x1=0; x1<_n; x1++) {\n          tre[x1] = re[x1 + i];\n          tim[x1] = im[x1 + i];\n        }\n        core.ifft1d(tre, tim);\n        for(var x2=0; x2<_n; x2++) {\n          re[x2 + i] = tre[x2];\n          im[x2 + i] = tim[x2];\n        }\n      }\n      // y-axis\n      for(var x=0; x<_n; x++) {\n        for(var y1=0; y1<_n; y1++) {\n          i = x + y1*_n;\n          tre[y1] = re[i];\n          tim[y1] = im[i];\n        }\n        core.ifft1d(tre, tim);\n        for(var y2=0; y2<_n; y2++) {\n          i = x + y2*_n;\n          re[i] = tre[y2];\n          im[i] = tim[y2];\n        }\n      }\n    },\n    // core operation of FFT\n    fft : function(re, im, inv) {\n      var d, h, ik, m, tmp, wr, wi, xr, xi,\n          n4 = _n >> 2;\n      // bit reversal\n      for(var l=0; l<_n; l++) {\n        m = _bitrev[l];\n        if(l < m) {\n          tmp = re[l];\n          re[l] = re[m];\n          re[m] = tmp;\n          tmp = im[l];\n          im[l] = im[m];\n          im[m] = tmp;\n        }\n      }\n      // butterfly operation\n      for(var k=1; k<_n; k<<=1) {\n        h = 0;\n        d = _n/(k << 1);\n        for(var j=0; j<k; j++) {\n          wr = _cstb[h + n4];\n          wi = inv*_cstb[h];\n          for(var i=j; i<_n; i+=(k<<1)) {\n            ik = i + k;\n            xr = wr*re[ik] + wi*im[ik];\n            xi = wr*im[ik] - wi*re[ik];\n            re[ik] = re[i] - xr;\n            re[i] += xr;\n            im[ik] = im[i] - xi;\n            im[i] += xi;\n          }\n          h += d;\n        }\n      }\n    },\n    // initialize the array (supports TypedArray)\n    _initArray : function() {\n      if(typeof Uint8Array !== 'undefined') {\n\t\t\t\tif(_n<=256)\n\t\t\t\t\t_bitrev = new Uint8Array(_n);\n\t\t\t\telse if(_n<=65536)\n\t\t\t\t\t_bitrev = new Uint16Array(_n);\n\t\t\t\telse\n\t\t\t\t\t_bitrev = new Uint32Array(_n);\n      } else {\n        _bitrev = [];\n      }\n      if(typeof Float64Array !== 'undefined') {\n        _cstb = new Float64Array(_n*1.25);\n      } else {\n        _cstb = [];\n      }\n    },\n    // zero padding\n    _paddingZero : function() {\n      // TODO\n    },\n    // makes bit reversal table\n    _makeBitReversalTable : function() {\n      var i = 0,\n          j = 0,\n          k = 0;\n      _bitrev[0] = 0;\n      while(++i < _n) {\n        k = _n >> 1;\n        while(k <= j) {\n          j -= k;\n          k >>= 1;\n        }\n        j += k;\n        _bitrev[i] = j;\n      }\n    },\n    // makes trigonometiric function table\n    _makeCosSinTable : function() {\n      var n2 = _n >> 1,\n          n4 = _n >> 2,\n          n8 = _n >> 3,\n          n2p4 = n2 + n4,\n          t = Math.sin(Math.PI/_n),\n          dc = 2*t*t,\n          ds = Math.sqrt(dc*(2 - dc)),\n          c = _cstb[n4] = 1,\n          s = _cstb[0] = 0;\n      t = 2*dc;\n      for(var i=1; i<n8; i++) {\n        c -= dc;\n        dc += t*c;\n        s += ds;\n        ds -= t*s;\n        _cstb[i] = s;\n        _cstb[n4 - i] = c;\n      }\n      if(n8 !== 0) {\n        _cstb[n8] = Math.sqrt(0.5);\n      }\n      for(var j=0; j<n4; j++) {\n        _cstb[n2 - j]  = _cstb[j];\n      }\n      for(var k=0; k<n2p4; k++) {\n        _cstb[k + n2] = -_cstb[k];\n      }\n    }\n  };\n  // aliases (public APIs)\n  var apis = ['init', 'fft1d', 'ifft1d', 'fft2d', 'ifft2d'];\n  for(var i=0; i<apis.length; i++) {\n    FFT[apis[i]] = core[apis[i]];\n  }\n  FFT.fft = core.fft1d;\n  FFT.ifft = core.ifft1d;\n}).call(this);\n\n/**\n * Spatial Frequency Filtering\n * High-pass/Low-pass/Band-pass Filter\n * Windowing using hamming window\n */\n(function() {\n  var FrequencyFilter;  // top-level namespace\n  var _root = this;     // reference to 'window' or 'global'\n\n  if(typeof exports !== 'undefined') {\n    FrequencyFilter = exports;   // for CommonJS\n  } else {\n    FrequencyFilter = _root.FrequencyFilter = {};\n  }\n\n  // core operations\n  var _n = 0;\n  var core = {\n    init : function(n) {\n      if(n !== 0 && (n & (n - 1)) === 0) {\n        _n = n;\n      } else {\n        throw new Error(\"init: radix-2 required\");\n      }\n    },\n    // swaps quadrant\n    swap : function(re, im) {\n      var xn, yn, i, j, k, l, tmp,\n          len = _n >> 1;\n      for(var y=0; y<len; y++) {\n        yn = y + len;\n        for(var x=0; x<len; x++) {\n          xn = x + len;\n          i = x + y*_n;\n          j = xn + yn*_n;\n          k = x + yn*_n;\n          l = xn + y*_n;\n          tmp = re[i];\n          re[i] = re[j];\n          re[j] = tmp;\n          tmp = re[k];\n          re[k] = re[l];\n          re[l] = tmp;\n          tmp = im[i];\n          im[i] = im[j];\n          im[j] = tmp;\n          tmp = im[k];\n          im[k] = im[l];\n          im[l] = tmp;\n        }\n      }\n    },\n    // applies High-Pass Filter\n    HPF : function(re, im, radius) {\n      var i = 0,\n          p = 0,\n          r = 0.0,\n          n2 = _n >> 1,\n          sqrt = Math.sqrt;\n      for(var y=-n2; y<n2; y++) {\n        i = n2 + (y + n2)*_n;\n        for(var x=-n2; x<n2; x++) {\n          r = sqrt(x*x + y*y);\n          p = x + i;\n          if(r < radius) {\n            re[p] = im[p] = 0;\n          }\n        }\n      }\n    },\n    // applies Low-Pass Filter\n    LPF : function(re, im, radius) {\n      var i = 0,\n          p = 0,\n          r = 0.0,\n          n2 = _n >> 1,\n          sqrt = Math.sqrt;\n      for(var y=-n2; y<n2; y++) {\n        i = n2 + (y + n2)*_n;\n        for(var x=-n2; x<n2; x++) {\n          r = sqrt(x*x + y*y);\n          p = x + i;\n          if(r > radius) {\n            re[p] = im[p] = 0;\n          }\n        }\n      }\n    },\n    // applies Band-Pass Filter\n    BPF : function(re, im, radius, bandwidth) {\n      var i = 0,\n          p = 0,\n          r = 0.0,\n          n2 = _n >> 1,\n          sqrt = Math.sqrt;\n      for(var y=-n2; y<n2; y++) {\n        i = n2 + (y + n2)*_n;\n        for(var x=-n2; x<n2; x++) {\n          r = sqrt(x*x + y*y);\n          p = x + i;\n          if(r < radius || r > (radius + bandwidth)) {\n            re[p] = im[p] = 0;\n          }\n        }\n      }\n    },\n    // windowing using hamming window\n    windowing : function(data, inv) {\n      var len = data.length,\n          pi = Math.PI,\n          cos = Math.cos;\n      for(var i=0; i<len; i++) {\n        if(inv === 1) {\n          data[i] *= 0.54 - 0.46*cos(2*pi*i/(len - 1));\n        } else {\n          data[i] /= 0.54 - 0.46*cos(2*pi*i/(len - 1));\n        }\n      }\n    }\n  };\n  // aliases (public APIs)\n  var apis = ['init', 'swap', 'HPF', 'LPF', 'BPF', 'windowing'];\n  for(var i=0; i<apis.length; i++) {\n    FrequencyFilter[apis[i]] = core[apis[i]];\n  }\n}).call(this);\n\n/**\n * FFT Power Spectrum Viewer\n */\n(function() {\n  var SpectrumViewer;  // top-level namespace\n  var _root = this;    // reference to 'window' or 'global'\n\n  if(typeof exports !== 'undefined') {\n    SpectrumViewer = exports;   // for CommonJS\n  } else {\n    SpectrumViewer = _root.SpectrumViewer = {};\n  }\n\n  // core operations\n  var _context = null,\n      _n = 0,\n      _img = null,\n      _data = null;\n  var core = {\n    init : function(context) {\n      _context = context;\n      _n = context.canvas.width,\n      _img = context.getImageData(0, 0, _n, _n);\n      _data = _img.data;\n    },\n    // renders FFT power spectrum on the canvas\n    render : function(re, im, islog) {\n      var val = 0,\n          i = 0,\n          p = 0,\n          spectrum = [],\n          max = 1.0,\n          imax = 0.0,\n          n2 = _n*_n,\n          log = Math.log,\n          sqrt = Math.sqrt;\n      for(var i=0; i<n2; i++) {\n        if(islog){\n          spectrum[i] = log(Math.sqrt(re[i]*re[i] + im[i]*im[i]));\n        } else {\n          spectrum[i] = sqrt(re[i]*re[i] + im[i]*im[i]);\n        }\n        if(spectrum[i] > max) {\n          max = spectrum[i];\n        }\n      }\n      imax = 1/max;\n      for(var j=0; j<n2; j++) {\n        spectrum[j] = spectrum[j]*255*imax;\n      }\n      for(var y=0; y<_n; y++) {\n        i = y*_n;\n        for(var x=0; x<_n; x++) {\n          val = spectrum[i + x];\n          p = (i << 2) + (x << 2);\n          _data[p] = 0;\n          _data[p + 1] = val;\n          _data[p + 2] = val >> 1;\n        }\n      }\n      _context.putImageData(_img, 0, 0);\n    }\n  };\n  // aliases (public APIs)\n  SpectrumViewer.init = core.init;\n  SpectrumViewer.render = core.render;\n}).call(this);\n"
  },
  {
    "path": "cv/fft/filter.js",
    "content": "/**\n * Spatial Frequency Filtering\n * High-pass/Low-pass/Band-pass Filter\n * Windowing using hamming window\n */\n(function() {\n  var FrequencyFilter;  // top-level namespace\n  var _root = this;     // reference to 'window' or 'global'\n\n  if(typeof exports !== 'undefined') {\n    FrequencyFilter = exports;   // for CommonJS\n  } else {\n    FrequencyFilter = _root.FrequencyFilter = {};\n  }\n\n  // core operations\n  var _n = 0;\n  var core = {\n    init : function(n) {\n      if(n !== 0 && (n & (n - 1)) === 0) {\n        _n = n;\n      } else {\n        throw new Error(\"init: radix-2 required\");\n      }\n    },\n    // swap quadrant\n    swap : function(re, im) {\n      var xn, yn, i, j, k, l, tmp,\n          len = _n >> 1;\n      for(var y=0; y<len; y++) {\n        yn = y + len;\n        for(var x=0; x<len; x++) {\n          xn = x + len;\n          i = x + y*_n;\n          j = xn + yn*_n;\n          k = x + yn*_n;\n          l = xn + y*_n;\n          tmp = re[i];\n          re[i] = re[j];\n          re[j] = tmp;\n          tmp = re[k];\n          re[k] = re[l];\n          re[l] = tmp;\n          tmp = im[i];\n          im[i] = im[j];\n          im[j] = tmp;\n          tmp = im[k];\n          im[k] = im[l];\n          im[l] = tmp;\n        }\n      }\n    },\n    // apply High-Pass Filter\n    HPF : function(re, im, radius) {\n      var i = 0,\n          p = 0,\n          r = 0.0,\n          n2 = _n >> 1;\n      for(var y=-n2; y<n2; y++) {\n        i = n2 + (y + n2)*_n;\n        for(var x=-n2; x<n2; x++) {\n          r = Math.sqrt(x*x + y*y);\n          p = x + i;\n          if(r < radius) {\n            re[p] = im[p] = 0;\n          }\n        }\n      }\n    },\n    // apply Low-Pass Filter\n    LPF : function(re, im, radius) {\n      var i = 0,\n          p = 0,\n          r = 0.0,\n          n2 = _n >> 1;\n      for(var y=-n2; y<n2; y++) {\n        i = n2 + (y + n2)*_n;\n        for(var x=-n2; x<n2; x++) {\n          r = Math.sqrt(x*x + y*y);\n          p = x + i;\n          if(r > radius) {\n            re[p] = im[p] = 0;\n          }\n        }\n      }\n    },\n    // apply Band-Pass Filter\n    BPF : function(re, im, radius, bandwidth) {\n      var i = 0,\n          p = 0,\n          r = 0.0,\n          n2 = _n >> 1;\n      for(var y=-n2; y<n2; y++) {\n        i = n2 + (y + n2)*_n;\n        for(var x=-n2; x<n2; x++) {\n          r = Math.sqrt(x*x + y*y);\n          p = x + i;\n          if(r < radius || r > (radius + bandwidth)) {\n            re[p] = im[p] = 0;\n          }\n        }\n      }\n    },\n    // windowing using hamming window\n    windowing : function(data, inv) {\n      var len = data.length,\n          pi = Math.PI;\n      for(var i=0; i<len; i++) {\n        if(inv === 1) {\n          data[i] *= 0.54 - 0.46*Math.cos(2*pi*i/(len - 1));\n        } else {\n          data[i] /= 0.54 - 0.46*Math.cos(2*pi*i/(len - 1));\n        }\n      }\n    }\n  };\n  // aliases (public APIs)\n  var apis = ['init', 'swap', 'HPF', 'LPF', 'BPF', 'windowing'];\n  for(var i=0; i<apis.length; i++) {\n    FrequencyFilter[apis[i]] = core[apis[i]];\n  }\n}).call(this);\n"
  },
  {
    "path": "cv/fft/qunit-fft-test.js",
    "content": "module(\"1D/2D-FFT/IFFT\");\nasyncTest(\"FFT module tests\", function() {\n  try {\n    var image = new Image(),\n        canvas = document.querySelector('#qunit-canvas'),\n        context = canvas.getContext('2d');\n    image.src = './lena_gray.jpg';\n    image.addEventListener('load', function(e) {\n      start();\n      context.drawImage(image, 0, 0);\n      var w = image.width,\n          h = image.height,\n          re = [],\n          im = [],\n          src = context.getImageData(0, 0, w, h),\n          data = src.data;\n      raises(function() {\n        FFT.init(3);\n      }, \"raises Error, required radix-2\");\n      FFT.init(w);\n      for(var y=0; y<h; y++) {\n        var i = y*w;\n        for(var x=0; x<w; x++) {\n          re[i + x] = data[(i << 2) + (x << 2)];\n          im[i + x] = 0.0;\n        }\n      }\n      var re2 = re.concat(),\n          im2 = im.concat(),\n          sample = 100,\n          diff = 0.0,\n          error = 1.0e-12;\n      // 1D-FFT/IFFT\n      FFT.fft1d(re, im);\n      FFT.ifft1d(re, im);\n      for(var j=0; j<sample*sample; j+=sample) {\n        diff = re[j] - re2[j];\n        diff = diff > 0 ? diff : -diff;\n        ok(diff < error, \"fft1d -> ifft1d, Re error: \" + diff);\n        diff = im[j] - im2[j];\n        diff = diff > 0 ? diff : -diff;\n        ok(diff < error, \"fft1d -> ifft1d, Im error: \" + diff);\n      }\n      // 2D-FFT/IFFT\n      re = re2.concat();\n      im = im2.concat();\n      FFT.fft2d(re, im);\n      FFT.ifft2d(re, im);\n      for(var j=0; j<sample*sample; j+=sample) {\n        diff = re[j] - re2[j];\n        diff = diff > 0 ? diff : -diff;\n        ok(diff < error, \"fft2d -> ifft2d, Re error: \" + diff);\n        diff = im[j] - im2[j];\n        diff = diff > 0 ? diff : -diff;\n        ok(diff < error, \"fft2d -> ifft2d, Im error: \" + diff);\n      }\n    }, false);\n  } catch(e) {\n    return;\n  }\n});"
  },
  {
    "path": "cv/fft/spectrum.js",
    "content": "/**\n * FFT Power Spectrum Viewer\n */\n(function() {\n  var SpectrumViewer;  // top-level namespace\n  var _root = this;    // reference to 'window' or 'global'\n\n  if(typeof exports !== 'undefined') {\n    SpectrumViewer = exports;   // for CommonJS\n  } else {\n    SpectrumViewer = _root.SpectrumViewer = {};\n  }\n\n  // core operations\n  var _context = null,\n      _n = 0,\n      _img = null,\n      _data = null;\n  var core = {\n    init : function(context) {\n      _context = context;\n      _n = context.canvas.width,\n      _img = context.getImageData(0, 0, _n, _n);\n      _data = _img.data;\n    },\n    // render FFT power spectrum on the Canvas\n    render : function(re, im, islog) {\n      var val = 0,\n          i = 0,\n          p = 0,\n          spectrum = [],\n          max = 1.0,\n          imax = 0.0,\n          n2 = _n*_n;\n      for(var i=0; i<n2; i++) {\n        if(islog){\n          spectrum[i] = Math.log(Math.sqrt(re[i]*re[i] + im[i]*im[i]));\n        } else {\n          spectrum[i] = Math.sqrt(re[i]*re[i] + im[i]*im[i]);\n        }\n        if(spectrum[i] > max) {\n          max = spectrum[i];\n        }\n      }\n      imax = 1/max;\n      for(var j=0; j<n2; j++) {\n        spectrum[j] = spectrum[j]*255*imax;\n      }\n      for(var y=0; y<_n; y++) {\n        i = y*_n;\n        for(var x=0; x<_n; x++) {\n          val = spectrum[i + x];\n          p = (i << 2) + (x << 2);\n          _data[p] = 0;\n          _data[p + 1] = val;\n          _data[p + 2] = val >> 1;\n        }\n      }\n      _context.putImageData(_img, 0, 0);\n    }\n  };\n  // aliases (public APIs)\n  SpectrumViewer.init = core.init;\n  SpectrumViewer.render = core.render;\n}).call(this);\n"
  },
  {
    "path": "cv/fisheye_transform/README.md",
    "content": "# Fish-Eye Transform Module\n\n## description\n\nCircular Fish-Eye transform\n\nsee also [blog entry][entry]\n\n### sample\n[![fisheye_transform](https://raw.github.com/wiki/wellflat/imageprocessing-labs/images/fisheye_transform.jpg)](http://rest-term.com/labs/html5/fisheye.html)\n\n(Tests: IE9, Firefox16.0, Chrome21.0, Safari6.0, Opera12.0)\n\n## usage\n\n```js\n//  img: ImageData object\n//  focalLength: focal-length Number (int)\n//  radius: circle radius Number (int)\nvar focalLength = 55;\nvar radius = 60;\n\n// returns ImageData object\nvar result = Fisheye.transform(img, focalLength, radius);\n\n```\n\nlicense\n----------\nCopyright &copy; 2014 wellflat Licensed under the [MIT License][MIT]\n\n[FishEye]: http://rest-term.com/labs/html5/fisheye.html\n[MIT]: http://www.opensource.org/licenses/mit-license.php\n[entry]: http://rest-term.com/archives/2991/\n"
  },
  {
    "path": "cv/fisheye_transform/fisheye.js",
    "content": "/**\n * Fish-Eye Transform module\n */\n(function() {\n  var Fisheye;        // top-level namespace\n  var _root = this;   // reference to 'window' or 'global'\n\n  if(typeof exports !== 'undefined') {\n    Fisheye = exports;   // for CommonJS\n  } else {\n    Fisheye = _root.Fisheye = {};\n  }\n\n  var version = {\n    release: '0.1.0',\n    date: '2012-09'\n  };\n  Fisheye.toString = function() {\n    return \"version \" + version.release + \", released \" + version.date;\n  };\n\n  // core operations\n  var _ctx = document.createElement('canvas').getContext('2d');\n  var core = {\n    transform : function(img, focalLength, radius) {\n      var w = img.width,\n          h = img.height,\n          src = img.data,\n          f = focalLength,\n          r = radius,\n          buff = [0, 0, 0],\n          dstimg, dst,\n          sqrt = Math.sqrt,\n          round = Math.round,\n          cx, cy, dx, dy, nx, ny, d, fd, i, j, step;\n\n      _ctx.canvas.width = w;\n      _ctx.canvas.height = h;\n      _ctx.fillStyle = 'rgba(0, 0, 0, 0)';\n      _ctx.fillRect(0, 0, w, h);\n      dstimg = _ctx.getImageData(0, 0, w, h);\n      dst = dstimg.data;\n      cx = w/2;\n      cy = h/2;\n      for(var y=0; y<h; y++) {\n        step = y*w;\n        for(var x=0; x<w; x++) {\n          dx = x - cx;\n          dy = y - cy;\n          d = sqrt(dx*dx + dy*dy);\n          fd = f*f + d*d;\n          nx = round((r*dx/sqrt(fd) + cx));\n          ny = round((r*dy/sqrt(fd) + cy));\n          if(0<=nx && nx<w && 0<=ny && ny<h) {\n            i = (step + x) << 2;\n            j = (ny*w + nx) << 2;\n            dst[j] = src[i];\n            dst[j + 1] = src[i + 1];\n            dst[j + 2] = src[i + 2];\n            dst[j + 3] = 1; // alpha channel, as flag\n          }\n        }\n      }\n      core.interpolation(dstimg, 1);\n      return dstimg;\n    },\n    /* interpolation (destructive!) */\n    interpolation : function(img, radius) {\n      var w = img.width,\n          h = img.height,\n          data = img.data,\n          r = radius,\n          kernel = [1, 2, 1, 2, 4, 2, 1, 2, 1], // 3*3\n          threshold = (2*r + 1)*(2*r + 1)/2,\n          buff = [0, 0, 0],\n          i, j, k, acc, step, kstep, px, py, div;\n\n      for(var y=0; y<h; y++) {\n        step = y*w;\n        for(var x=0; x<w; x++) {\n          i = (step + x) << 2;\n          if(data[i + 3] !== 1) {\n            buff[0] = buff[1] = buff[2] = 0;\n            k = 0;\n            acc = 0;\n            for(var ky=-r; ky<=r; ky++) {\n              py = y + ky;\n              if(py <= 0 || h <= py) py = y;\n              kstep = py*w;\n              for(var kx=-r; kx<=r; kx++) {\n                px = x + kx;\n                if(px <= 0 || w <= px) px = x;\n                j = (kstep + px) << 2;\n                if(data[j + 3] === 1) {\n                  buff[0] += data[j]*kernel[k];\n                  buff[1] += data[j + 1]*kernel[k];\n                  buff[2] += data[j + 2]*kernel[k];\n                  acc += kernel[k];\n                  k++;\n                }\n              }\n            }\n            if(k > threshold) {\n              div = 1/acc;\n              data[i] = buff[0]*div;\n              data[i + 1] = buff[1]*div;\n              data[i + 2] = buff[2]*div;\n              data[i + 3] = 1; // as flag\n            }\n          }\n          //data[i + 3] = 255;\n        }\n      }\n    }\n  };\n  // public API\n  Fisheye.transform = core.transform;\n}).call(this);"
  },
  {
    "path": "cv/image_filter/README.md",
    "content": "# Image Processing Filters\n\n## description\n\nImage processing filters\n\n* Convolution Filter\n\n[![image_filter](https://raw.github.com/wiki/wellflat/imageprocessing-labs/images/convolution_filter.jpg)](http://rest-term.com/labs/html5/convolution.html)\n\n* Symmetric Nearest Neighbor Filter\n\n[![image_filter](https://raw.github.com/wiki/wellflat/imageprocessing-labs/images/snn_filter.jpg)](http://rest-term.com/labs/html5/snn.html)\n\n* Jitter Jilter\n\n[![image_filter](https://raw.github.com/wiki/wellflat/imageprocessing-labs/images/jitter_filter.jpg)](http://rest-term.com/labs/html5/jitter.html)\n\n### samples\n[Convolution Filter][Convolution]\n\n[Symmetric Nearest Neighbor Filter][SNN]\n\n[Jitter Filter][Jitter]\n\n(Tests: Firefox3.6, Safari5.0, Chrome10.0, Opera11.60)\n\nlicense\n----------\nCopyright &copy; 2014 wellflat Licensed under the [MIT License][MIT]\n\n[Convolution]: http://rest-term.com/labs/html5/convolution.html\n[SNN]: http://rest-term.com/labs/html5/snn.html\n[Jitter]: http://rest-term.com/labs/html5/jitter.html\n[MIT]: http://www.opensource.org/licenses/mit-license.php\n"
  },
  {
    "path": "cv/image_filter/cavin.js",
    "content": "/**\n * Cavin.js\n * Computer Vision and Image Processing Library for HTML5 Canvas\n */\n(function() {\n  /**\n   * intialize\n   */\n  var Cavin;        // top-level namespace\n  var root = this;  // reference to 'window' or 'global'\n  var ctx = null;   // local reference to CanvasRenderingContext2D\n  var imgdata = null;  // local reference to ImageData\n\n  // local reference to slice/splice\n  var slice = Array.prototype.slice,\n      splice = Array.prototype.splice;\n\n  if(typeof exports !== 'undefined') {\n    Cavin = exports;  // for CommonJS\n  } else {\n    Cavin = root.Cavin = {};\n  }\n\n  // current version of the library\n  Cavin.version = {\n    release: '0.1.0',\n    date: '2012/03',\n  };\n  Cavin.toString = function() {\n    return \"version \" + Cavin.version.release + \", released \" + Cavin.version.date;\n  };\n\n  // set the js library that will be used for DOM manipulation,\n  // by default will use jQuery\n  var $ = root.jQuery;\n  Cavin.setDomLibrary = function(lib) {\n    $ = lib;\n  };\n\n  /**\n   * image I/O modules\n   */\n  var IO = Cavin.IO = {\n    read: function() {\n      var args = slice.call(arguments),\n          img = new Image(),\n          opt = IO._parseOpt(args);\n      img.src = opt['path'];\n      ctx = document.createElement('canvas').getContext('2d');\n      img.addEventListener('load', function(e) {\n        ctx.canvas.width = img.width;\n        ctx.canvas.height = img.height;\n        ctx.drawImage(img, 0, 0);\n        imgdata = ctx.getImageData(0, 0, img.width, img.height);\n        opt['success'](imgdata);\n      }, false);\n      img.addEventListener('error', function(e) {\n        opt['error']('can\\'t load image: ' + opt['path']);\n      }, false)\n    },\n    write: function(data, target) {\n      var ctx;\n      if(typeof target === 'string') {\n        ctx = document.querySelector(target).getContext('2d');\n      } else if(typeof target === 'object') {\n        ctx = target;  // CanvasRenderingContext2D\n      }\n      ctx.putImageData(data, 0, 0);\n    },\n    getImageData: function(context) {\n      var w = context.canvas.width,\n          h = context.canvas.height;\n      return context.getImageData(0, 0, w, h);\n    },\n    _parseOpt: function(args) {\n      var opt = {};\n      // {path:string, success:function, error:function}\n      if(args.length === 1 && typeof args[0] === 'object') {\n        if(typeof args[0]['path'] !== 'string') {\n          throw new Error('string object required: path');\n        } else {\n          opt['path'] = args[0]['path'];\n        }\n        if(typeof args[0]['success'] != 'function') {\n          throw new Error('function object required: success');\n        } else {\n          opt['success'] = args[0]['success'];\n        }\n        if(typeof args[0]['error'] != 'function') {\n          throw new Error('function object required: error');\n        } else {\n          opt['error'] = args[0]['error'];\n        }\n      }\n      // path, callback\n      if(args.length === 2 && typeof args[0] === 'string') {\n        opt['path'] = args[0];\n        if(typeof args[1] != 'function') {\n          throw new Error('function object required');\n        } else {\n          opt['success'] = args[1];\n        }\n      }\n      return opt;\n    },\n  };\n  // aliases\n  Cavin.get = Cavin.IO.read;\n  Cavin.put = Cavin.IO.write;\n\n  /**\n   * image processing filter modules\n   */\n  var Filter = Cavin.Filter = {\n    /* convolution filter (x*x squire kernel) */\n    convolution: function(kernel, divisor, bias) {\n      var srcimg = imgdata,\n          w = srcimg.width,\n          h = srcimg.height,\n          srcdata = srcimg.data,\n          dstimg = ctx.createImageData(w, h),\n          dstdata = dstimg.data,\n          div = 1/divisor,\n          r = Math.sqrt(kernel.length),\n          buff = [0, 0, 0],\n          i, j, k, v, px, py, step, kstep;\n      if(divisor === 0) {\n        throw new Error('division zero');\n      }\n      if(r%2 != 1) {\n        throw new Error('square kernel required');\n      }\n      r = (r - 1)/2;\n      for(var y=0; y<h; y++) {\n        step = y*w;\n        for(var x=0; x<w; x++) {\n          buff[0] = buff[1] = buff[2] = 0;\n          i = (step + x) << 2;\n          k = 0;\n          // convolution\n          for(var ky=-r; ky<=r; ky++) {\n            py = y + ky;\n            if(py <= 0 || h <= py) py = y;\n            kstep = py*w;\n            for(var kx=-r; kx<=r; kx++) {\n              px = x + kx;\n              if(px <= 0 || w <= px) px = x;\n              j = (kstep << 2) + (px << 2);\n              buff[0] += srcdata[j]*kernel[k];\n              buff[1] += srcdata[j + 1]*kernel[k];\n              buff[2] += srcdata[j + 2]*kernel[k];\n              k++;\n            }\n          }\n          // saturation (for Opera)\n          v = buff[0]*div + bias;\n          dstdata[i] = v < 0 ? 0 : v > 255 ? 255 : v;\n          v = buff[1]*div + bias;\n          dstdata[i + 1] = v < 0 ? 0 : v > 255 ? 255 : v;\n          v = buff[2]*div + bias;\n          dstdata[i + 2] = v < 0 ? 0 : v > 255 ? 255 : v;\n          dstdata[i + 3] = 255;\n        }\n      }\n      return dstimg;\n    },\n    /* box blur filter */\n    blur: function(radius) {\n      var kernel = [],\n          size = (2*radius + 1)*(2*radius + 1);\n      for(var i=0; i<size; i++) {\n        kernel[i] = 1;\n      }\n      return Filter.convolution(kernel, size, 0);\n    },\n    /* gaussian blur filter */\n    gaussian: function(radius) {\n      var kernel = [],\n          size = (2*radius + 1)*(2*radius + 1),\n          sigma = 0.849321800288,\n          k = 1.0/Math.sqrt(2.0*Math.PI)/sigma,\n          f = 0;\n      for(var y=-radius; y<=radius; y++) {\n        for(var x=-radius; x<=radius; x++) {\n          f = k*Math.exp(-(x*x + y*y)/(2*sigma*sigma));\n          kernel.push(f);\n        }\n      }\n      return Filter.convolution(kernel, size, 0);\n    },\n    /* jitter filter */\n    jitter: function(amount) {\n      var srcimg = imgdata,\n          w = srcimg.width,\n          h = srcimg.height,\n          srcdata = srcimg.data,\n          dstimg = ctx.createImageData(w, h),\n          dstdata = dstimg.data,\n          dx, dy, i, k, step;\n      for(var y=0; y<h; y++) {\n        step = y*w;\n        for(var x=0; x<w; x++) {\n          dx = x + Math.round((Math.random() - 0.5)*amount);\n          dy = y + Math.round((Math.random() - 0.5)*amount);\n          i = (step + x) << 2;\n          k = (w*dy + dx) << 2;\n          dstdata[i] = srcdata[k];\n          dstdata[i + 1] = srcdata[k + 1];\n          dstdata[i + 2] = srcdata[k + 2];\n          dstdata[i + 3] = 255;\n        }\n      }\n      return dstimg;\n    },\n    /* symmetric nearest neighbor filter */\n    snn: function(radius) {\n      var srcimg = imgdata,\n          w = srcimg.width,\n          h = srcimg.height,\n          r = parseInt(radius),\n          div = 1.0/((2*r + 1)*(2*r + 1)),\n          srcdata = srcimg.data,\n          dstimg = ctx.createImageData(w, h),\n          dstdata = dstimg.data,\n          sumr, sumg, sumb,\n          rc, gc, bc, r1, g1, b1, r2, g2, b2,\n          pv, pu, xystep, uvstep, delta1, delta2,\n          i, j;\n      for(var y=0; y<h; y++) {\n        xystep = y*w;\n        for(var x=0; x<w; x++) {\n          i = (xystep + x) << 2;\n          sumr = 0, sumg = 0, sumb = 0;\n          rc = srcdata[i];\n          gc = srcdata[i + 1];\n          bc = srcdata[i + 2];\n          for(var v=-r; v<=r; v++) {\n            uvstep = w*v;\n            for(var u=-r; u<=r; u++) {\n              j = (uvstep + u) << 2;\n              if(srcdata[i + j]) {\n                r1 = srcdata[i + j];\n                g1 = srcdata[i + j + 1];\n                b1 = srcdata[i + j + 2];\n              } else {\n                r1 = srcdata[i];\n                g1 = srcdata[i + 1];\n                b1 = srcdata[i + 2];\n              }\n              if(srcdata[i - j]) {\n                r2 = srcdata[i - j];\n                g2 = srcdata[i - j + 1];\n                b2 = srcdata[i - j + 2];\n              } else {\n                r2 = srcdata[i];\n                g2 = srcdata[i + 1];\n                b2 = srcdata[i + 2];\n              }\n              delta1 = Math.sqrt((rc - r1)*(rc - r1) +\n                                 (gc - g1)*(gc - g1) +\n                                 (bc - b1)*(bc - b1));\n              delta2 = Math.sqrt((rc - r2)*(rc - r2) +\n                                 (gc - g2)*(gc - g2) +\n                                 (bc - b2)*(bc - b2));\n              if(delta1 < delta2) {\n                sumr += r1;\n                sumg += g1;\n                sumb += b1;\n              } else {\n                sumr += r2;\n                sumg += g2;\n                sumb += b2;\n              }\n            }\n          }\n          dstdata[i] = sumr*div;\n          dstdata[i + 1] = sumg*div;\n          dstdata[i + 2] = sumb*div;\n          dstdata[i + 3] = 255;\n        }\n      }\n      return dstimg;\n    },\n  };\n  /**\n   * 2D-features detection modules\n   */\n  Cavin.Features2D = (function() {\n    function Features2D() {}\n    Features2D.hlac = function() {\n      // todo\n    };\n    Features2D.orb = function() {\n      // todo\n    };\n    Features2D.surf = function(){\n      // in patent\n    };\n    Features2D.star = function() {\n      // todo\n    };\n    return Features2D;\n  })();\n  /**\n   * Utilities modules\n   */\n  Cavin.Util = (function() {\n    function Util() {}\n    Util.hex2rgb = function(hex) {\n      var r, g, b;\n      if(hex.charAt(0) === \"#\") hex = hex.substr(1);\n      r = parseInt(hex.substr(0, 2), 16);\n      g = parseInt(hex.substr(2, 2), 16);\n      b = parseInt(hex.substr(4, 2), 16);\n      return {r: r, g: g, b: b};\n    };\n    return Util;\n  })();\n}).call(this);"
  },
  {
    "path": "cv/image_filter/cvsandbox.js",
    "content": "/**\n * Computer Vision Modules using Sandbox Pattern\n */\n\n/* CV: Sandbox constructor */\nfunction CV() {\n  var args = Array.prototype.slice.call(arguments),\n      callback = args.pop(),\n      modules = (args[0] && typeof args[0] === \"string\") ? args : args[0],\n      i;\n  if(!(this instanceof CV)) {\n    return new CV(modules, callback);\n  }\n  if(!modules || modules[0] === \"*\") {\n    modules = [];\n    for(i in CV.modules) {\n      if(CV.modules.hasOwnProperty(i)) {\n        modules.push(i);\n      }\n    }\n  }\n  for(i=0; i<modules.length; i++) {\n    CV.modules[modules[i]](this);\n  }\n  callback(this);\n}\nCV.modules = {}; // modules\n\n/* core module */\nCV.modules.core = function(self) {\n  // load image file\n  self.load = function(source, context) {\n    var p = self.constructor.prototype;\n    var img = new Image();\n    p.ctx = context;\n    img.src = source;\n    img.addEventListener('load', function() {\n      p.ctx.drawImage(img, 0, 0);\n      p.bitmapData = p.ctx.getImageData(0, 0, img.width, img.height);\n    }, false);\n    img.addEventListener('error', function() {\n      throw new Error('cannot load image');\n    }, false);\n  };\n  // draw on the canvas\n  self.draw = function(data, context) {\n    context.putImageData(data, 0, 0);\n  };\n};\n\n/* image filter module */\nCV.modules.filter = function(self) {\n  // convolution filter\n  self.convolution = function(kernel, divisor, bias) {\n    var p = self.constructor.prototype,\n        w = p.bitmapData.width,\n        h = p.bitmapData.height,\n        srcData = p.bitmapData.data,\n        dstImg = p.ctx.createImageData(w, h),\n        dstData = dstImg.data,\n        len = dstData.length,\n        r, g, b, i, j, k, step, kStep;\n    for(var y=1; y<h-1; y++) {\n      step = y*w;\n      for(var x=1; x<w-1; x++) {\n        r = 0; g = 0; b = 0;\n        i = (step + x) << 2;\n        k = 0;\n        for(var ky=-1; ky<=1; ky++) {\n          kStep = ky*w;\n          for(var kx=-1; kx<=1; kx++) {\n            j = (kStep << 2) + (kx << 2);\n            r += srcData[i + j]*kernel[k];\n            g += srcData[i + j + 1]*kernel[k];\n            b += srcData[i + j + 2]*kernel[k];\n            k++;\n          }\n        }\n        dstData[i] = r/divisor + bias;\n        dstData[i + 1] = g/divisor + bias;\n        dstData[i + 2] = b/divisor + bias;\n        dstData[i + 3] = 255;\n      }\n    }\n    for(var l=0; l<len; l++) {\n      var value = dstData[l];\n      dstData[l] = value<0 ? 0 : value>255 ? 255 : value;\n    }\n    return dstImg;\n  };\n  // jitter filter\n  self.jitter = function(amount) {\n    var p = self.constructor.prototype,\n        w = p.bitmapData.width,\n        h = p.bitmapData.height,\n        srcData = p.bitmapData.data,\n        dstImg = p.ctx.createImageData(w, h),\n        dstData = dstImg.data,\n        len = dstData.length,\n        dx, dy, step, i, k;\n    for(var y=0; y<h; y++) {\n      step = y*w;\n      for(var x=0; x<w; x++) {\n        dx = x + Math.round((Math.random() - 0.5)*amount);\n        dy = y + Math.round((Math.random() - 0.5)*amount);\n        i = (step + x) << 2;\n        k = (w*dy + dx) << 2;\n        dstData[i] = srcData[k];\n        dstData[i + 1] = srcData[k + 1];\n        dstData[i + 2] = srcData[k + 2];\n        dstData[i + 3] = 255;\n      }\n    }\n    return dstImg;\n  };\n};\n\n/* features2d module */\nCV.modules.features2d = function(self) {\n  // HLAC\n  self.hlac = function() {\n    var p = self.constructor.prototype,\n        w = p.bitmapData.width,  // bitmapData: ImageData\n        h = p.bitmapData.height,\n        src = p.bitmapData.data, // CanvasPixelArray\n        // mask patterns for HLAC (N:2, 3*3)\n        mask = ['000010000','000011000','001010000','010010000','100010000',\n                '000111000','001010100','010010010','100010001','001110000',\n                '010010100','100010010','000110001','000011100','001010010',\n                '010010001','100011000','010110000','100010100','000110010',\n                '000010101','000011010','001010001','010011000','101010000'],\n        len = mask.length,\n        features = [],\n        c, i, j, l, step, kstep,\n        cmp = 0;\n\n    // mask pattern, feature vector intialize\n    for(var k=0; k<len; k++) {\n      mask[k] = parseInt(mask[k], 2);\n      features[k] = 0;\n    }\n    // product-sum operation for each mask pattern\n    // CanvasPixelArray: [R0,G0,B0,A0,R1,G1,B1,A1, ...]\n    for(k=0; k<len; k++) {\n      for(var y=1; y<h-1; y++) {\n        step = y*w;\n        for(var x=1; x<w-1; x++) {\n          i = (step + x) << 2;\n          if(src[i] === cmp) continue;\n          for(var ky=-1, l=8, c=1; ky<=1; ky++) {\n            if(c === 0) break;\n            kstep = ky*w;\n            for(var kx=-1; kx<=1; kx++, l--) {\n              j = (kstep + kx) << 2;\n              if((mask[k] >> l & 1) && (src[i + j] === cmp)) {\n                c = 0;\n                break;\n              }\n            }\n          }\n          features[k] += c;\n        }\n      }\n    }\n    return features;\n  };\n  self.stardetect = function(param) {\n    // TODO\n  };\n};\n\n/* utilities module */\n/* image histogram */\nCV.modules.histogram = function(self) {\n  // draw histogram on the canvas\n  self.drawHistogram = function(bins, context, style) {\n    var h = context.canvas.height,\n        max = self.getMax(bins),\n        len = bins.length,\n        step = context.canvas.width/len,\n        k = 2;\n    style = style || {};\n    context.globalAlpha = style['globalAlpha'] || 0.8;\n    context.strokeStyle = style['strokeStyle'] || '#00cc66';\n    context.lineWidth = style['lineWidth'] || 4;\n    for(var i=0; i<len; i++, k+=step) {\n      context.beginPath();\n      context.moveTo(k, h);\n      context.lineTo(k, Math.max(0.0, h - bins[i]*h/max));\n      context.stroke();\n      context.closePath();\n    }\n  };\n  // calculate histogram intersection\n  self.intersection = function(hist1, hist2) {\n    if(hist1.length != hist2.length) {\n      throw new Error('invalid histogram pair');\n    }\n    var minsum = 0.0,\n        len = hist1.length,\n        min = 0, sum1 = 0, sum2 = 0;\n    for(var i=0; i<len; i++) {\n      min = (hist1[i] < hist2[i]) ? hist1[i] : hist2[i];\n      minsum += min;\n      sum1 += hist1[i];\n      sum2 += hist2[i];\n    }\n    return (sum1 > sum2) ? minsum/sum1 : minsum/sum2;\n  };\n  self.addHistogram = function(hist1, hist2) {\n    if(hist1.length != hist2.length) {\n      throw new Error('invalid histogram pair');\n    }\n    var newhist = [],\n        len = hist1.length;\n    for(var i=0; i<len; i++) {\n      newhist[i] = hist1[i] + hist2[i];\n    }\n    return newhist;\n  };\n  self.getMax = function(bins) {\n    var max = 0,\n        len = bins.length;\n    for(var i=0; i<len; i++) {\n      if(bins[i] > max) max = bins[i];\n    }\n    return max;\n  };\n};\n\n/* web storage */\nCV.modules.storage = function(self) {\n  // thin wrapper\n  self.getData = function(key) {\n    return JSON.parse(window.localStorage[key]);\n  };\n  self.setData = function(key, value) {\n    window.localStorage[key] = JSON.stringify(value);\n  };\n};\n"
  },
  {
    "path": "cv/lsd/.babelrc",
    "content": "{\r\n    \"presets\": [\"react\", \"es2015\", \"stage-0\"],\r\n    \"plugins\": [\r\n    ],\r\n    \"env\": {\r\n        \"development\": {\r\n            \"presets\": [\"react-hmre\"],\r\n            \"plugins\": [[\"react-transform\", {\r\n                \"transforms\": [{\r\n                    \"transform\": \"react-transform-hmr\",\r\n                    \"imports\": [\"react\"],\r\n                    \"locals\": [\"module\"]\r\n                }]\r\n            }]]\r\n        },\r\n        \"production\": {\r\n            \r\n        }\r\n    }\r\n}"
  },
  {
    "path": "cv/lsd/.eslintignore",
    "content": "webpack.config.js\r\ndst/\r\n"
  },
  {
    "path": "cv/lsd/.eslintrc.json",
    "content": "{\n    \"env\": {\n        \"browser\": true,\n        \"node\": true,\n        \"commonjs\": true,\n        \"es6\": true\n    },\n    \"extends\": \"eslint:recommended\",\n    \"ecmaFeatures\": {\n        \"jsx\": true,\n        \"modules\": true\n    },\n    \"parserOptions\": {\n        \"sourceType\": \"module\"\n    },\n    \"rules\": {\n        \"indent\": [\n            \"error\",\n            4\n        ],\n        \"linebreak-style\": [\n            \"error\",\n            \"unix\"\n        ],\n        \"quotes\": [\n            \"warn\",\n            \"single\"\n        ],\n        \"semi\": [\n            \"error\",\n            \"always\"\n        ],\n        \"no-unreachable\": [\n            \"warn\"\n        ],\n        \"no-console\":\"off\"\n    },\n    \"plugins\": [\n        \"react\"\n    ]\n}"
  },
  {
    "path": "cv/lsd/README.md",
    "content": "# Line Segment Detector Module\n\n## description\n\nLine detection using Line Segment Detector ([LSD][IPOL]) algorithm\n\n![lsd](https://raw.github.com/wiki/wellflat/imageprocessing-labs/images/lsd_apply.jpg)\n\n\nsee also [blog entry][entry]\n\n### demo\n[Line Segment Detector Demo](http://rest-term.com/labs/html5/lsd/index.html) [(mirror)](https://secret-nether-01.herokuapp.com/lsd/)\n\n[![lsd_demo](https://raw.github.com/wiki/wellflat/imageprocessing-labs/images/lsd_demo.jpg)](http://rest-term.com/labs/html5/lsd/index.html)\n\n\n## usage in JavaScript (ES2015)\n```js\nimport LSD from './lsd';\n// input 8bit gray scale image\nimport SampleImage from './sample.jpg';\n\nconst image = new Image();\nimage.src = SampleImage;\nimage.onload = () => {\n    const width = image.width;\n    const height = image.height;\n    const canvas = document.createElement('canvas');\n    const context = canvas.getContext('2d');\n    canvas.width = width;\n    canvas.height = height;\n    context.drawImage(image, 0, 0, width, height);\n    document.getElementById('content').appendChild(canvas);\n    const imageData = context.getImageData(0, 0, width, height);\n    const detector = new LSD();\n    const lines = detector.detect(imageData);\n    console.log('lines: ' + lines.length.toString());\n    detector.drawSegments(context, lines);\n};\n```\n\n### React Component\n```js\nimport React from 'react';\nimport ReactDOM from 'react-dom';\nimport MuiThemeProvider from 'material-ui/styles/MuiThemeProvider';\nimport LSDComponent from './lsd_component';\nimport SampleImage from './sample.jpg';\n\nReactDOM.render(\n    <MuiThemeProvider>\n        <LSDComponent src={SampleImage} />\n    </MuiThemeProvider>,\n    document.getElementById('content')\n);\n```\n\n\nlicense\n----------\nCopyright &copy; 2017 wellflat Licensed under the [MIT License][MIT]\n\n[MIT]: http://www.opensource.org/licenses/mit-license.php\n[IPOL]: http://www.ipol.im/pub/art/2012/gjmr-lsd/\n[entry]: http://rest-term.com/archives/3393/\n"
  },
  {
    "path": "cv/lsd/jsconfig.json",
    "content": "{\n    \"compilerOptions\": {\n        \"target\": \"es6\",\n        \"module\": \"commonjs\"\n    }\n}"
  },
  {
    "path": "cv/lsd/line-segment-detector/.gitignore",
    "content": "node_modules\r\ndst\r\n"
  },
  {
    "path": "cv/lsd/line-segment-detector/README.md",
    "content": "# Line Segment Detector Module\n\n## description\n\nLine detection using Line Segment Detector ([LSD][IPOL]) algorithm\n\n![lsd](https://raw.github.com/wiki/wellflat/imageprocessing-labs/images/lsd_apply.jpg)\n\n\nsee also [blog entry][entry]\n\n## install\n\n```\nnpm install line-segment-detector.js\n```\n\n- Todo npm publish ready: add package.json, unit test\n\n### demo\n[Line Segment Detector Demo](http://rest-term.com/labs/html5/lsd/index.html) [(mirror)](https://secret-nether-5891.herokuapp.com/lsd/)\n\n[![lsd_demo](https://raw.github.com/wiki/wellflat/imageprocessing-labs/images/lsd_demo.jpg)](http://rest-term.com/labs/html5/lsd/index.html)\n\n\n## usage in JavaScript (ES2015)\n```js\nimport LSD from './lsd';\n// input 8bit gray scale image\nimport SampleImage from './sample.jpg';\n\nconst image = new Image();\nimage.src = SampleImage;\nimage.onload = () => {\n    const width = image.width;\n    const height = image.height;\n    const canvas = document.createElement('canvas');\n    const context = canvas.getContext('2d');\n    canvas.width = width;\n    canvas.height = height;\n    context.drawImage(image, 0, 0, width, height);\n    document.getElementById('content').appendChild(canvas);\n    const imageData = context.getImageData(0, 0, width, height);\n    const detector = new LSD();\n    const lines = detector.detect(imageData);\n    console.log('lines: ' + lines.length.toString());\n    detector.drawSegments(context, lines);\n};\n```\n\n### React Component\n```js\nimport React from 'react';\nimport ReactDOM from 'react-dom';\nimport MuiThemeProvider from 'material-ui/styles/MuiThemeProvider';\nimport LSDComponent from './lsd_component';\nimport SampleImage from './sample.jpg';\n\nReactDOM.render(\n    <MuiThemeProvider>\n        <LSDComponent src={SampleImage} />\n    </MuiThemeProvider>,\n    document.getElementById('content')\n);\n```\n\n\nlicense\n----------\nCopyright &copy; 2017 wellflat Licensed under the [MIT License][MIT]\n\n[MIT]: http://www.opensource.org/licenses/mit-license.php\n[IPOL]: http://www.ipol.im/pub/art/2012/gjmr-lsd/\n[entry]: http://rest-term.com/archives/3393/\n"
  },
  {
    "path": "cv/lsd/line-segment-detector/jsconfig.json",
    "content": "{\n    \"compilerOptions\": {\n        \"target\": \"es6\",\n        \"module\": \"commonjs\"\n    }\n}"
  },
  {
    "path": "cv/lsd/line-segment-detector/package.json",
    "content": "{\n  \"name\": \"line-segment-detector.js\",\n  \"version\": \"1.0.0\",\n  \"description\": \"Line Segment Detector\",\n  \"main\": \"./dst/lsd.js\",\n  \"types\": \"./dst/lsd.d.ts\",\n  \"files\": [\n    \"dst\"\n  ],\n  \"scripts\": {\n    \"test\": \"echo \\\"Error: no test specified\\\" && exit 1\",\n    \"prod\": \"rimraf dst && webpack -p\",\n    \"dev\": \"rimraf dst && webpack -d\",\n    \"prepublish\": \"npm run prod\"\n  },\n  \"keywords\": [],\n  \"author\": \"wellflat\",\n  \"license\": \"MIT\",\n  \"dependencies\": {},\n  \"devDependencies\": {\n    \"eslint\": \"^4.5.0\",\n    \"rimraf\": \"^2.6.1\",\n    \"ts-loader\": \"^2.3.3\",\n    \"typescript\": \"^2.4.2\",\n    \"webpack\": \"^3.5.5\"\n  }\n}\n"
  },
  {
    "path": "cv/lsd/line-segment-detector/src/funcs.ts",
    "content": "import { Edge } from './types';\n\n/**\n * constants and utility math functions\n */\n\nconst M_3_2_PI = (3 * Math.PI) / 2;\nconst M_2__PI = (2 * Math.PI);\nconst M_LN10 = 2.30258509299404568402;\nconst NOT_DEF = -1024.0;\nconst USED = 1;\nconst NOT_USED = 0;\nconst RELATIVE_ERROR_FACTOR = 100.0;\nconst DEG_TO_RADS = Math.PI / 180;\nconst REFINE_NONE = 0;\nconst REFINE_STD = 1;\nconst REFINE_ADV = 2;\n\n\nconst logGamma = (x: number) => x > 15.0 ? logGammaWindschitl(x) : logGammaLanczos(x);\n\nconst logGammaWindschitl = (x: number) =>\n    0.918938533204673 + (x - 0.5) * Math.log(x) - x\n    + 0.5 * x * Math.log(x * Math.sinh(1 / x) + 1 / (810.0 * Math.pow(x, 6.0)));\n\nfunction logGammaLanczos(x: number) {\n    const q = [\n        75122.6331530, 80916.6278952, 36308.2951477,\n        8687.24529705, 1168.92649479, 83.8676043424,\n        2.50662827511\n    ];\n    let a = (x + 0.5) * Math.log(x + 5.5) - (x + 5.5);\n    let b = 0;\n    for(let n = 0; n < 7; ++n) {\n        a -= Math.log(x + n);\n        b += q[n] * Math.pow(x, n);\n    }\n    return a + Math.log(b);\n}\n\nconst distSq = (x1: number, x2: number, y1: number, y2: number) =>\n    (x2 - x1) * (x2 - x1) + (y2 - y1) * (y2 - y1);\n\nconst dist = (x1: number, x2: number, y1: number, y2: number) => Math.sqrt(distSq(x1, y1, x2, y2));\n\nfunction angleDiffSigned(a: number, b: number) {\n    let diff = a - b;\n    const PI = Math.PI;\n    while (diff <= -PI) {\n        diff += M_2__PI;\n    }\n    while (diff > PI) {\n        diff -= M_2__PI;\n    }\n    return diff;\n}\n\nfunction angleDiff(a: number, b: number) {\n    const value = angleDiffSigned(a, b);\n    return value >= 0  ? value : -value;\n}\n\nfunction doubleEqual(a: number, b: number) {\n    if (a == b) {\n        return true;\n    }\n    const diff = a - b;\n    const absDiff = diff >= 0 ? diff : -diff;\n    const aa = a >= 0 ? a : - a;\n    const bb = b >= 0 ? b : - b;\n    let absMax = (aa > bb) ? aa : bb;\n    const MIN_VALUE = Number.MIN_VALUE;\n    if (absMax < MIN_VALUE) {\n        absMax = MIN_VALUE;\n    }\n    return (absDiff / absMax) <= (RELATIVE_ERROR_FACTOR * Number.EPSILON);\n}\n\nfunction AsmallerB_XoverY(a: Edge, b: Edge) {\n    if (a.p.x == b.p.x) {\n        return Number(a.p.y < b.p.y);\n    } else {\n        return Number(a.p.x < b.p.x);\n    }\n}\n\nexport {\n    M_3_2_PI, M_2__PI, M_LN10,\n    NOT_DEF, USED, NOT_USED, RELATIVE_ERROR_FACTOR, DEG_TO_RADS,\n    REFINE_NONE, REFINE_STD, REFINE_ADV,\n    logGamma, dist, distSq, angleDiff, doubleEqual, AsmallerB_XoverY\n};\n"
  },
  {
    "path": "cv/lsd/line-segment-detector/src/lsd.ts",
    "content": "/**\n * Line Segment Detector (LSD) module\n * @author https://github.com/wellflat\n */\n\nimport * as funcs from './funcs';\nimport { Vec4, Point, CoorList, RegionPoint, Rect, Edge } from './types';\n\n/**\n * Create a LineSegmentDetector object.\n * Specifying scale, number of subdivisions for the image,\n * should the lines be refined and other constants as follows:\n *\n * @param refine       How should the lines found be refined?\n *                      REFINE_NONE - No refinement applied.\n *                      REFINE_STD  - Standard refinement is applied. E.g. breaking arches into smaller line approximations.\n *                      REFINE_ADV  - Advanced refinement. Number of false alarms is calculated,\n *                                    lines are refined through increase of precision, decrement in size, etc.\n * @param scale        The scale of the image that will be used to find the lines. Range (0..1].\n * @param sigmaScale   Sigma for Gaussian filter is computed as sigma = _sigma_scale/_scale.\n * @param quant        Bound to the quantization error on the gradient norm.\n * @param angTh        Gradient angle tolerance in degrees.\n * @param logEps       Detection threshold: -log10(NFA) > _log_eps\n * @param densityTh    Minimal density of aligned region points in rectangle.\n * @param nBins        Number of bins in pseudo-ordering of gradient modulus.\n */\nexport default class LSD {\n    image?: ImageData;\n    private imageData?: Uint8ClampedArray;\n    width = 0;\n    height = 0;\n    list: CoorList[] = [];\n    angles?: Float64Array;\n    modgrad?: Float64Array;\n    used?: Uint8Array;\n\n    constructor(\n        public refineType = funcs.REFINE_NONE, public scale = 0.8, public sigmaScale = 0.6, public quant = 2.0,\n        public angTh = 22.5, public logEps = 0.0, public densityTh = 0.7, public nBins = 1024\n    ) { }\n    /**\n     * Detect lines in the input image.\n     * @param {ImageData} image\n     * @return {Vec4[]}\n     */\n    detect(image: ImageData) {\n        this.image = image;\n        this.width = image.width;\n        this.height = image.height;\n        const lines = this.lsd();\n        return lines;\n    }\n    /**\n     * Draws the line segments on a given image.\n     * @param {CanvasRenderingContext2D} context\n     * @param {Vec4[]} lines\n     * @param {string} color\n     */\n    drawSegments(context: CanvasRenderingContext2D, lines: Vec4[], color = '#ff0000') {\n        context.strokeStyle = color;\n        context.lineWidth = 1;\n        lines.forEach(v => {\n            context.beginPath();\n            context.moveTo(v.x1, v.y1);\n            context.lineTo(v.x2, v.y2);\n            context.stroke();\n            context.closePath();\n        });\n    }\n\n    /**\n     * for debug\n     * @param {CanvasRenderingContext2D} context\n     */\n    putImageData(context: CanvasRenderingContext2D) {\n        let src = this.imageData,\n            image = context.createImageData(this.width, this.height),\n            dst = image.data,\n            len = image.data.length;\n        if (!src) throw new Error('imageData required'); // type guard\n        for (let i = 0; i < len; i += 4) {\n            dst[i] = dst[i + 1] = dst[i + 2] = src[i/4];\n            dst[i + 3] = 255;\n        }\n        context.putImageData(image, 0, 0);\n    }\n    /**\n     * @return {Vec4[]}  Return: A vector of Vec4f elements specifying the beginning and ending point of a line.\n     *                   Where Vec4f is (x1, y1, x2, y2), point 1 is the start, point 2 - end.\n     *                   Returned lines are strictly oriented depending on the gradient.\n     */\n    lsd() {\n        if (!this.image || !this.angles) throw new Error('image and angles required'); // type guard\n        /** @type {Vec4[]} */\n        let lines = [];\n        const prec = Math.PI * this.angTh / 180;\n        const p = this.angTh / 180;\n        const rho = this.quant / Math.sin(prec);\n        if (this.scale != 1) {\n            const sigma = this.scale < 1 ? this.sigmaScale / this.scale : this.sigmaScale;\n            const sprec = 3;\n            const h = Math.ceil(sigma * Math.sqrt(2 * sprec * Math.log(10.0)));\n            const kSize = 1 + 2 * h;\n            const reshaped = this.reshape(this.image);\n            this.imageData = this.gaussianBlur(reshaped, kSize, sigma);\n            this.computeLevelLineAngles(rho, this.nBins);\n        } else {\n            this.imageData = this.reshape(this.image);\n            this.computeLevelLineAngles(rho, this.nBins);\n        }\n\n        const LOG_NT = 5 * (Math.log10(this.width) + Math.log10(this.height)) / 2 + Math.log10(11.0);\n        const minRegSize = -LOG_NT / Math.log10(p);\n        this.used = new Uint8Array(this.imageData.length);\n        for (let i = 0, listSize = this.list.length; i < listSize; i++) {\n            const point = this.list[i].p;\n            if ((this.at(this.used, point) === funcs.NOT_USED) &&\n                (this.at(this.angles, point) !== funcs.NOT_DEF)) {\n                let regAngle = 0.0;\n                let reg: RegionPoint[] = [];\n                regAngle = this.regionGrow(this.list[i].p, reg, regAngle, prec);\n                if (reg.length < minRegSize) {\n                    continue;\n                }\n                let rect = new Rect();\n                this.region2Rect(reg, regAngle, prec, p, rect);\n                let logNfa = -1;\n                if (this.refineType > funcs.REFINE_NONE) {\n                    if (!this.refine(reg, regAngle, prec, p, rect, this.densityTh)) {\n                        continue;\n                    }\n                    if (this.refineType >= funcs.REFINE_ADV) {\n                        logNfa = this.improveRect(rect);\n                        if (logNfa <= this.logEps) {\n                            continue;\n                        }\n                    }\n                }\n                rect.x1 += 0.5;\n                rect.y1 += 0.5;\n                rect.x2 += 0.5;\n                rect.y2 += 0.5;\n                /*\n                if (this.scale != 1) {\n                    rect.x1 /= this.scale;\n                    rect.y1 /= this.scale;\n                    rect.x2 /= this.scale;\n                    rect.y2 /= this.scale;\n                    rect.width /= this.scale;\n                }\n                */\n                lines.push(new Vec4(rect.x1, rect.y1, rect.x2, rect.y2));\n            }\n        }\n        return lines;\n    }\n\n    /**\n     * @param {number} threshold The minimum value of the angle that is considered defined, otherwise NOTDEF\n     * @param {number} nBins     The number of bins with which gradients are ordered by, using bucket sort.\n     */\n    computeLevelLineAngles(threshold: number, nBins: number) {\n        const imageData = this.imageData;\n        if (!imageData) throw new Error('imageData required'); // type guard\n        const width = this.width;\n        const height = this.height;\n        this.angles = new Float64Array(imageData.length);\n        this.modgrad = new Float64Array(imageData.length);\n        this.angles = this.setRow(this.angles, height - 1, funcs.NOT_DEF);\n        this.angles = this.setCol(this.angles, width - 1, funcs.NOT_DEF);\n        let maxGrad = -1.0;\n        for (let y = 0; y < height - 1; y++) {\n            const step = y * width;\n            const nextStep = (y + 1) * width;\n            for (let x = 0; x < width - 1; x++) {\n                const DA = imageData[x + 1 + nextStep] - imageData[x + step];\n                const BC = imageData[x + 1 + step] - imageData[x + nextStep];\n                const gx = DA + BC;\n                const gy = DA - BC;\n                const norm = Math.sqrt((gx * gx + gy * gy) / 4.0);\n                this.modgrad[x + step] = norm;\n                if (norm <= threshold) {\n                    this.angles[x + step] = funcs.NOT_DEF;\n                } else {\n                    this.angles[x + step] = Math.atan2(gx, -gy);\n                    if (norm > maxGrad) {\n                        maxGrad = norm;\n                    }\n                }\n            }\n        }\n        /** @type {CoorList[]} */\n        let rangeS = [];\n        rangeS.length = nBins;\n        /** @type {CoorList[]} */\n        let rangeE = [];\n        rangeE.length = nBins;\n        let count = 0;\n        const binCoef = (maxGrad > 0) ? (nBins - 1) / maxGrad : 0;\n        for (let y = 0; y < height - 1; y++) {\n            let step = y * width;\n            for (let x = 0; x < width - 1; x++) {\n                let i = Math.floor(this.modgrad[x + step] * binCoef);\n                if (!rangeE[i]) {\n                    this.list[count] = new CoorList();\n                    rangeE[i] = rangeS[i] = this.list[count];\n                    count++;\n                } else {\n                    this.list[count] = new CoorList();\n                    rangeE[i] = this.list[count];\n                    rangeE[i].next = this.list[count];\n                    count++;\n                }\n                rangeE[i].p = new Point(x, y);\n                rangeE[i].next = null;\n            }\n        }\n        let idx = nBins - 1;\n        for (; idx > 0 && !rangeS[idx]; idx--) {\n            // do nothing.\n        }\n        let start = rangeS[idx];\n        let endIdx = idx;\n        if (start) {\n            while (idx > 0) {\n                idx--;\n                if (rangeS[idx]) {\n                    rangeE[endIdx].next = rangeS[idx];\n                    rangeE[endIdx] = rangeE[idx];\n                    endIdx = idx;\n                }\n            }\n        }\n    }\n\n    regionGrow(s: Point, reg: RegionPoint[], regAngle: number, prec: number) {\n        if (!this.used || !this.angles || !this.modgrad) throw new Error('used, angles and modgrad required'); // type guard\n        let seed = new RegionPoint();\n        seed.x = s.x;\n        seed.y = s.y;\n        seed.used = this.at(this.used, s);\n        regAngle = this.at(this.angles, s);\n        seed.angle = regAngle;\n        seed.modgrad = this.at(this.modgrad, s);\n        seed.used = funcs.USED;\n        reg.push(seed);\n        let sumdx = Math.cos(regAngle);\n        let sumdy = Math.sin(regAngle);\n\n        for (let i = 0; i < reg.length; i++) {\n            const rpoint = reg[i],\n                xxMin = Math.max(rpoint.x - 1, 0),\n                xxMax = Math.min(rpoint.x + 1, this.width - 1),\n                yyMin = Math.max(rpoint.y - 1, 0),\n                yyMax = Math.min(rpoint.y + 1, this.height - 1);\n            for (let yy = yyMin; yy <= yyMax; yy++) {\n                const step = yy * this.width;\n                for (let xx = xxMin; xx <= xxMax; xx++) {\n                    let isUsed = this.used[xx + step];\n                    if (isUsed != funcs.USED && this.isAligned(xx, yy, regAngle, prec)) {\n                        const angle = this.angles[xx + step];\n                        isUsed = funcs.USED;\n                        this.used[xx + step] = funcs.USED;\n                        let regionPoint = new RegionPoint(\n                            xx, yy, angle, this.modgrad[xx + step], isUsed\n                        );\n                        reg.push(regionPoint);\n                        sumdx += Math.cos(angle);\n                        sumdy += Math.sin(angle);\n                        regAngle = Math.atan2(sumdy, sumdx);\n                    }\n                }\n            }\n        }\n        return regAngle;\n    }\n\n    isAligned(x: number, y: number, theta: number, prec: number) {\n        if (x < 0 || y < 0 || x >= this.width || y >= this.height) {\n            return false;\n        }\n        const a = this.angles![x + y * this.width];\n        if (a === funcs.NOT_DEF) {\n            return false;\n        }\n        let nTheta = theta - a;\n        if (nTheta < 0) {\n            nTheta = -nTheta;\n        }\n        if (nTheta > funcs.M_3_2_PI) {\n            nTheta -= funcs.M_2__PI;\n            if (nTheta < 0) {\n                nTheta = -nTheta;\n            }\n        }\n        return nTheta <= prec;\n    }\n\n    region2Rect(reg: RegionPoint[], regAngle: number, prec: number, p: number, rect: Rect) {\n        let x = 0, y = 0, sum = 0;\n        for (let i = 0; i < reg.length; i++) {\n            const pnt = reg[i];\n            const weight = pnt.modgrad;\n            x += pnt.x * weight;\n            y += pnt.y * weight;\n            sum += weight;\n        }\n        if (sum <= 0) {\n            throw new Error('weighted sum must differ from 0');\n        }\n        x /= sum;\n        y /= sum;\n        const theta = this.getTheta(reg, x, y, regAngle, prec);\n        const dx = Math.cos(theta);\n        const dy = Math.sin(theta);\n        let lMin = 0, lMax = 0, wMin = 0, wMax = 0;\n        for (let i = 0; i < reg.length; i++) {\n            let regdx = reg[i].x - x;\n            let regdy = reg[i].y - y;\n            let l = regdx * dx + regdy * dy;\n            let w = -regdx * dy + regdy * dx;\n            if (l > lMax) {\n                lMax = l;\n            } else if (l < lMin) {\n                lMin = l;\n            }\n            if (w > wMax) {\n                wMax = w;\n            } else if (w < wMin) {\n                wMin = w;\n            }\n        }\n        rect.x1 = x + lMin * dx;\n        rect.y1 = y + lMin * dy;\n        rect.x2 = x + lMax * dx;\n        rect.y2 = y + lMax * dy;\n        rect.width = wMax - wMin;\n        rect.x = x;\n        rect.y = y;\n        rect.theta = theta;\n        rect.dx = dx;\n        rect.dy = dy;\n        rect.prec = prec;\n        rect.p = p;\n        if (rect.width < 1.0) {\n            rect.width = 1.0;\n        }\n    }\n\n    getTheta(reg: RegionPoint[], x: number, y: number, regAngle: number, prec: number) {\n        let ixx = 0.0,\n            iyy = 0.0,\n            ixy = 0.0;\n        for (let i = 0; i < reg.length; i++) {\n            const regx = reg[i].x;\n            const regy = reg[i].y;\n            const weight = reg[i].modgrad;\n            let dx = regx - x;\n            let dy = regy - y;\n            ixx += dy * dy * weight;\n            iyy += dx * dx * weight;\n            ixy -= dx * dy * weight;\n        }\n        let check = (funcs.doubleEqual(ixx, 0) && funcs.doubleEqual(iyy, 0) && funcs.doubleEqual(ixy, 0));\n        if (check) {\n            throw new Error('check if inertia matrix is null');\n        }\n        let lambda = 0.5 * (ixx + iyy - Math.sqrt((ixx - iyy) * (ixx - iyy) + 4.0 * ixy * ixy));\n        let theta = (Math.abs(ixx) > Math.abs(iyy)) ? Math.atan2(lambda - ixx, ixy) :\n            Math.atan2(ixy, lambda - iyy);\n        if (funcs.angleDiff(theta, regAngle) > prec) {\n            theta += Math.PI;\n        }\n        return theta;\n    }\n\n    refine(reg: RegionPoint[], regAngle: number, prec: number, p: number, rect: Rect, densityTh: number) {\n        let density = reg.length / (funcs.dist(rect.x1, rect.y1, rect.x2, rect.y2) * rect.width);\n        if (density >= densityTh) {\n            return true;\n        }\n        let xc = reg[0].x;\n        let yc = reg[0].y;\n        const angC = reg[0].angle;\n        let sum = 0, sSum = 0, n = 0;\n        for (let i = 0; i < reg.length; i++) {\n            reg[i].used = funcs.NOT_USED;\n            if (funcs.dist(xc, yc, reg[i].x, reg[i].y) < rect.width) {\n                const angle = reg[i].angle;\n                let angD = funcs.angleDiff(angle, angC);\n                sum += angD;\n                sSum += angD * angD;\n                n++;\n            }\n            let meanAngle = sum / n;\n            let tau = 2.0 * Math.sqrt((sSum - 2.0 * meanAngle * sum) / n + meanAngle * meanAngle);\n            this.regionGrow(new Point(reg[0].x, reg[0].y), reg, regAngle, tau);\n            if (reg.length < 2) {\n                return false;\n            }\n            this.region2Rect(reg, regAngle, prec, p, rect);\n            density = reg.length / (funcs.dist(rect.x1, rect.y1, rect.x2, rect.y2) * rect.width);\n            if (density < densityTh) {\n                return this.reduceRegionRadius(reg, regAngle, prec, p, rect, density, densityTh);\n            } else {\n                return true;\n            }\n        }\n        return false; // type guard (unreachable)\n    }\n\n    reduceRegionRadius(reg: RegionPoint[], regAngle: number, prec: number, p: number, rect: Rect, density: number, densityTh: number) {\n        let xc = reg[0].x;\n        let yc = reg[0].y;\n        let radSq1 = funcs.distSq(xc, yc, rect.x1, rect.y1);\n        let radSq2 = funcs.distSq(xc, yc, rect.x2, rect.y2);\n        let radSq = radSq1 > radSq2 ? radSq1 : radSq2;\n        while (density < densityTh) {\n            radSq *= 0.75 * 0.75; // reduce region's radius to 75%\n            for (let i = 0; i < reg.length; i++) {\n                if (funcs.distSq(xc, yc, reg[i].x, reg[i].y) > radSq) {\n                    // remove point from the region\n                    reg[i].used = funcs.NOT_USED;\n                    const tmp = reg[i];\n                    reg[i] = reg[reg.length - 1];\n                    reg[reg.length - 1] = tmp;\n                    reg.pop();\n                    --i;\n                }\n            }\n            if (reg.length < 2) {\n                return false;\n            }\n            this.region2Rect(reg, regAngle, prec, p, rect);\n            density = reg.length / (funcs.dist(rect.x1, rect.y1, rect.x2, rect.y2) * rect.width);\n        }\n        return true;\n    }\n\n    improveRect(rect: Rect) {\n        let delta = 0.5;\n        let delta2 = delta / 2.0;\n        let logNfa = this.rectNfa(rect);\n        if (logNfa > this.logEps) {\n            return logNfa;\n        }\n        let r = new Rect();\n        r.copy(rect);\n        for (let n = 0; n < 5; n++) {\n            r.p /= 2;\n            r.prec = r.p * Math.PI;\n            let logNfaNew = this.rectNfa(rect);\n            if (logNfaNew > logNfa) {\n                logNfa = logNfaNew;\n                rect.copy(r);\n            }\n        }\n        if (logNfa > this.logEps) {\n            return logNfa;\n        }\n        r.copy(rect);\n        for (let n = 0; n < 5; n++) {\n            if ((r.width - delta) >= 0.5) {\n                r.width -= delta;\n                let logNfaNew = this.rectNfa(r);\n                if (logNfaNew > logNfa) {\n                    rect.copy(r);\n                    logNfa = logNfaNew;\n                }\n            }\n        }\n        if (logNfa > this.logEps) {\n            return logNfa;\n        }\n        r.copy(rect);\n        for (let n = 0; n < 5; n++) {\n            if ((r.width - delta) >= 0.5) {\n                r.x1 -= -r.dy * delta2;\n                r.y1 -= r.dx * delta2;\n                r.x2 -= -r.dy * delta2;\n                r.y2 -= r.dx * delta2;\n                r.width -= delta;\n                let logNfaNew = this.rectNfa(r);\n                if (logNfaNew > logNfa) {\n                    rect.copy(r);\n                    logNfa = logNfaNew;\n                }\n            }\n        }\n        if (logNfa > this.logEps) {\n            return logNfa;\n        }\n        r.copy(rect);\n        for (let n = 0; n < 5; n++) {\n            if ((r.width - delta) >= 0.5) {\n                r.p /= 2;\n                r.prec = r.p * Math.PI;\n                let logNfaNew = this.rectNfa(r);\n                if (logNfaNew > logNfa) {\n                    rect.copy(r);\n                    logNfa = logNfaNew;\n                }\n            }\n        }\n        return logNfa;\n    }\n\n    rectNfa(rect: Rect) {\n        let totalPts = 0,\n            algPts = 0,\n            halfWidth = rect.width / 2.0,\n            dyhw = rect.dy * halfWidth,\n            dxhw = rect.dx * halfWidth,\n            orderedX = [\n                new Edge(),\n                new Edge(),\n                new Edge(),\n                new Edge()\n            ],\n            minY = orderedX[0],\n            maxY = orderedX[0];\n        orderedX[0].p.x = rect.x1 - dyhw;\n        orderedX[0].p.y = rect.y1 + dxhw;\n        orderedX[1].p.x = rect.x2 - dyhw;\n        orderedX[1].p.y = rect.y2 + dxhw;\n        orderedX[2].p.x = rect.x2 + dyhw;\n        orderedX[2].p.y = rect.y2 - dxhw;\n        orderedX[3].p.x = rect.x1 + dyhw;\n        orderedX[3].p.y = rect.y1 - dxhw;\n\n        orderedX.sort(funcs.AsmallerB_XoverY);\n\n        for (let i = 1; i < 4; i++) {\n            if (minY.p.y > orderedX[i].p.y) {\n                minY = orderedX[i];\n            }\n            if (maxY.p.y < orderedX[i].p.y) {\n                maxY = orderedX[i];\n            }\n        }\n        minY.taken = true;\n        let leftmost = null;\n        for (let i = 0; i < 4; i++) {\n            if (!orderedX[i].taken) {\n                if (!leftmost) {\n                    leftmost = orderedX[i];\n                } else if (leftmost.p.x > orderedX[i].p.x) {\n                    leftmost = orderedX[i];\n                }\n            }\n        }\n        if (!leftmost) throw new Error('leftmost error'); // type guard\n        leftmost.taken = true;\n        let rightmost = null;\n        for (let i = 0; i < 4; i++) {\n            if (!orderedX[i].taken) {\n                if (!rightmost) {\n                    rightmost = orderedX[i];\n                } else if (rightmost.p.x < orderedX[i].p.x) {\n                    rightmost = orderedX[i];\n                }\n            }\n        }\n        if (!rightmost) throw new Error('rightmost error'); // type guard\n        rightmost.taken = true;\n        let tailp = null;\n        for (let i = 0; i < 4; i++) {\n            if (!orderedX[i].taken) {\n                if (!tailp) {\n                    tailp = orderedX[i];\n                } else if (tailp.p.x > orderedX[i].p.x) {\n                    tailp = orderedX[i];\n                }\n            }\n        }\n        if (!tailp) throw new Error('tailp error'); // type guard\n        tailp.taken = true;\n        let flstep = (minY.p.y != leftmost.p.y) ?\n            (minY.p.x + leftmost.p.x) / (minY.p.y - leftmost.p.y) : 0;\n        let slstep = (leftmost.p.y != tailp.p.x) ?\n            (leftmost.p.x = tailp.p.x) / (leftmost.p.y - tailp.p.x) : 0;\n        let frstep = (minY.p.y != rightmost.p.y) ?\n            (minY.p.x - rightmost.p.x) / (minY.p.y - rightmost.p.y) : 0;\n        let srstep = (rightmost.p.y != tailp.p.x) ?\n            (rightmost.p.x - tailp.p.x) / (rightmost.p.y - tailp.p.x) : 0;\n        let lstep = flstep, rstep = frstep;\n        let leftX = minY.p.x, rightX = minY.p.x;\n        let minIter = minY.p.y;\n        let maxIter = maxY.p.y;\n        for (let y = minIter; y <= maxIter; y++) {\n            if (y < 0 || y >= this.height) {\n                continue;\n            }\n            for (let x = leftX; x <= rightX; x++) {\n                if (x < 0 || x >= this.width) {\n                    continue;\n                }\n                totalPts++;\n                if (this.isAligned(x, y, rect.theta, rect.prec)) {\n                    algPts++;\n                }\n            }\n            if (y >= leftmost.p.y) {\n                lstep = slstep;\n            }\n            if (y >= rightmost.p.y) {\n                rstep = srstep;\n            }\n            leftX += lstep;\n            rightX += rstep;\n        }\n        return this.nfa(totalPts, algPts, rect.p);\n    }\n\n    nfa(n: number, k: number, p: number) {\n        const LOG_NT =  5 * (Math.log10(this.width) + Math.log10(this.height)) / 2 + Math.log10(11.0);\n        if (n == 0 || k == 0) {\n            return -LOG_NT;\n        }\n        if (n == k) {\n            return -LOG_NT - n * Math.log10(p);\n        }\n        let pTerm = p / (1 - p);\n        let log1Term = (n + 1) - funcs.logGamma(k + 1)\n            - funcs.logGamma(n - k + 1)\n            + k * Math.log(p) + (n - k) * Math.log(1.0 - p);\n        let term = Math.exp(log1Term);\n        if (funcs.doubleEqual(term, 0)) {\n            if (k > n * p) {\n                return -log1Term / funcs.M_LN10 - LOG_NT;\n            } else {\n                return -LOG_NT;\n            }\n        }\n        let binTail = term;\n        let tolerance = 0.1;\n        for (let i = k + 1; i <= n; i++) {\n            let binTerm = (n - i + 1) / i;\n            let multTerm = binTerm * pTerm;\n            term *= multTerm;\n            binTail += term;\n            if (binTerm < 1) {\n                let err = term * ((1 - Math.pow(multTerm, (n - i + 1))) / (1 - multTerm) - 1);\n                if (err < tolerance * Math.abs(-Math.log10(binTail) - LOG_NT) * binTail) {\n                    break;\n                }\n            }\n        }\n        return -Math.log10(binTail) - LOG_NT;\n    }\n\n    gaussianBlur(imageData: Uint8ClampedArray, kSize: number, sigma: number) {\n        let width = this.width,\n            height = this.height,\n            src = imageData,\n            ctx = document.createElement('canvas').getContext('2d'),\n            tmp = ctx!.createImageData(width, height),\n            dst = null,\n            kernel = this.getGaussianKernel(kSize, sigma),\n            r = (kSize - 1) / 2;\n        const tmp2 = this.reshape(tmp);\n        dst = new Uint8ClampedArray(tmp2.length);\n        // separate 2d-filter\n        for (let y = 0; y < height; y++) {\n            let step = y * width;\n            for (let x = 0; x < width; x++) {\n                let buff = 0;\n                let i = x + step;\n                let k = 0;\n                for (let kx = -r; kx <= r; kx++) {\n                    let px = x + kx;\n                    if (px <= 0 || width <= px) {\n                        px = x;\n                    }\n                    let j = px + step;\n                    buff += src[j] * kernel[k];\n                    k++;\n                }\n                tmp2[i] = buff;\n            }\n        }\n\n        for (let x = 0; x < width; x++) {\n            for (let y = 0; y < height; y++) {\n                let step = y * width;\n                let buff = 0;\n                let i = x + step;\n                let k = 0;\n                for (let ky = -r; ky <= r; ky++) {\n                    let py = y + ky;\n                    let kStep = ky * width;\n                    if (py <= 0 || height <= py) {\n                        py = y;\n                        kStep = 0;\n                    }\n                    let j = i + kStep;\n                    buff += tmp2[j] * kernel[k];\n                    k++;\n                }\n                dst[i] = buff;\n            }\n        }\n        return dst;\n    }\n\n    getGaussianKernel(kSize: number, sigma: number) {\n        // 1d-kernel\n        let kernel = [];\n        let sigmaX = sigma > 0 ? sigma : ((kSize - 1) * 0.5 - 1) * 0.3 + 0.8;\n        let scale2X = -0.5 / (sigmaX * sigmaX);\n        let sum = 0.0;\n        for (let i = 0; i < kSize; i++) {\n            let x = i - (kSize - 1) * 0.5;\n            kernel[i] = Math.exp(scale2X * x * x);\n            sum += kernel[i];\n        }\n        sum = 1. / sum;\n        for (let i = 0; i < kSize; i++) {\n            kernel[i] *= sum;\n        }\n        return kernel;\n    }\n\n    reshape(image: ImageData) {\n        let src = image.data;\n        let reshaped = new Uint8ClampedArray(src.length / 4);\n        let len = reshaped.length;\n        for (let i = 0; i < len; i++) {\n            reshaped[i] = src[i * 4];\n        }\n        return reshaped;\n    }\n\n    at(data: Uint8Array|Float64Array, p: Point) {\n        return data[p.x + (p.y * this.width)];\n    }\n\n    row(data: Float64Array, rowIndex: number) {\n        let i = rowIndex * this.width;\n        return data.subarray(i, i + this.width);\n    }\n\n    setRow(data: Float64Array, index: number, value: number) {\n        let from = index * this.width;\n        let to = from + this.width;\n        for (let i = from; i < to; i++) {\n            data[i] = value;\n        }\n        return data;\n    }\n\n    setCol(data: Float64Array, index: number, value: number) {\n        let to = this.height * this.width;\n        let step = this.width;\n        for (let i = index; i < to; i += step) {\n            data[i] = value;\n        }\n        return data;\n    }\n}"
  },
  {
    "path": "cv/lsd/line-segment-detector/src/types.ts",
    "content": "class Vec4 {\n    constructor(public x1 = 0, public y1 = 0, public x2 = 0, public y2 = 0) { }\n}\n\nclass Point {\n    constructor(public x = 0.0, public y = 0.0) { }\n}\n\nclass CoorList {\n    p: Point;\n    next: CoorList | null;\n\n    constructor() {\n        this.p = new Point();\n    }\n}\n\nclass RegionPoint {\n    constructor(public x = 0, public y = 0, public angle = 0.0, public modgrad = 0.0, public used?: number) { }\n}\n\nclass Rect {\n    constructor(\n        public x1 = 0, public y1 = 0, public x2 = 0, public y2 = 0,\n        public width = 0, public height = 0, public x = 0, public y = 0, public theta = 0,\n        public dx = 0, public dy = 0, public prec = 0, public p = 0\n    ) { }\n\n    copy(rect: Rect) {\n        this.x1 = rect.x1;\n        this.y1 = rect.y1;\n        this.x2 = rect.x2;\n        this.y2 = rect.y2;\n        this.width = rect.width;\n        this.height = rect.height;\n        this.x = rect.x;\n        this.y = rect.y;\n        this.theta = rect.theta;\n        this.dx = rect.dx;\n        this.dy = rect.dy;\n        this.prec = rect.prec;\n        this.p = rect.p;\n    }\n}\n\nclass Edge {\n    p: Point;\n    taken?: boolean;\n\n    constructor() {\n        this.p = new Point();\n    }\n}\n\nexport {\n    Vec4, Point, CoorList, RegionPoint, Rect, Edge\n};\n"
  },
  {
    "path": "cv/lsd/line-segment-detector/tsconfig.json",
    "content": "{\r\n    \"compileOnSave\": true,\r\n    \"compilerOptions\": {\r\n        \"module\": \"commonjs\",\r\n        \"target\": \"es5\",\r\n        \"declaration\": true,\r\n        \"noImplicitAny\": true,\r\n        \"noImplicitThis\": true,\r\n        \"noImplicitReturns\": true,\r\n        \"noImplicitUseStrict\": true,\r\n        \"noUnusedLocals\": true,\r\n        \"noUnusedParameters\": true,\r\n        \"preserveConstEnums\": true,\r\n        \"sourceMap\": true,\r\n        \"strictNullChecks\": true,\r\n        \"outDir\": \"\",\r\n        \"lib\": [\r\n            \"dom\",\r\n            \"es2015\"\r\n        ]\r\n    },\r\n    \"exclude\": [\r\n        \"node_modules\",\r\n        \"dst\"\r\n    ]\r\n}\r\n"
  },
  {
    "path": "cv/lsd/line-segment-detector/webpack.config.js",
    "content": "const webpack = require('webpack');\nconst path = require('path');\n\nmodule.exports = {\n    entry: path.join(__dirname, './src/lsd.ts'),\n    output: {\n        path: path.join(__dirname, './dst'),\n        filename: 'lsd.js',\n        library: 'lineSegmentDetector',\n        libraryTarget: 'umd'\n    },\n    module: {\n        rules: [\n            {\n                test: /\\.ts$/,\n                exclude: /(node_modules|bower_components)/,\n                loader: 'ts-loader'\n            }\n        ]\n    },\n    resolve: {\n        extensions: ['.js', '.ts']\n    },\n    devtool: 'source-map'\n};\n"
  },
  {
    "path": "cv/lsd/package.json",
    "content": "{\n  \"name\": \"lsd\",\n  \"version\": \"1.0.0\",\n  \"description\": \"LSD: Line Segment Detector\",\n  \"main\": \"src/app.js\",\n  \"scripts\": {\n    \"test\": \"echo \\\"Error: no test specified\\\" && exit 1\",\n    \"prod\": \"node_modules/.bin/webpack -p\",\n    \"dev\": \"node_modules/.bin/webpack -d\",\n    \"start\": \"node_modules/.bin/webpack-dev-server --hot --inline\"\n  },\n  \"keywords\": [],\n  \"author\": \"wellflat\",\n  \"license\": \"ISC\",\n  \"babel\": {\n    \"presets\": [\n      \"es2015\",\n      \"react\"\n    ]\n  },\n  \"dependencies\": {\n    \"material-ui\": \"^0.17.4\",\n    \"react\": \"^15.4.2\",\n    \"react-dom\": \"^15.4.2\",\n    \"react-tap-event-plugin\": \"^2.0.1\"\n  },\n  \"devDependencies\": {\n    \"babel\": \"^6.23.0\",\n    \"babel-core\": \"^6.21.0\",\n    \"babel-loader\": \"^9.1.2\",\n    \"babel-preset-es2015\": \"^6.18.0\",\n    \"babel-preset-react\": \"^6.16.0\",\n    \"babel-preset-react-hmre\": \"^1.1.1\",\n    \"babel-preset-stage-0\": \"^6.24.1\",\n    \"babel-register\": \"^6.18.0\",\n    \"eslint\": \"^4.18.2\",\n    \"eslint-plugin-react\": \"^6.9.0\",\n    \"file-loader\": \"^0.11.0\",\n    \"html-loader\": \"^0.4.4\",\n    \"html-webpack-plugin\": \"^5.5.0\",\n    \"url-loader\": \"^0.5.7\",\n    \"webpack\": \"^5.76.0\",\n    \"webpack-dev-server\": \">=4.11.1\"\n  }\n}\n"
  },
  {
    "path": "cv/lsd/src/app.js",
    "content": "﻿import React from 'react';\nimport ReactDOM from 'react-dom';\nimport injectTapEventPlugin from 'react-tap-event-plugin';\nimport MuiThemeProvider from 'material-ui/styles/MuiThemeProvider';\nimport AppBar from 'material-ui/AppBar';\nimport Paper from 'material-ui/Paper';\nimport { RadioButton, RadioButtonGroup } from 'material-ui/RadioButton';\nimport LSDComponent from './lsd_component';\nimport GardenImage from './gardenterrace_gray.jpg';\nimport MidtownImage from './midtown_gray.jpg';\nimport BuildingImage from './building_gray.jpg';\nimport TokyoImage from './tokyostation_gray.jpg';\n\ninjectTapEventPlugin();\n\nconst style = {\n    appBar: {\n        margin: '10px 0 10px 0'\n    },\n    paper: {\n        display: 'inline',\n        margin: '15px'\n    },\n    radio: {\n        fontSize: '1em',\n    }\n};\n\nconst App = props => (\n    <MuiThemeProvider>\n        <div>\n            <AppBar title='Line Segment Detector Demo' style={style.appBar}\n                showMenuIconButton={false} />\n            <LSDComponent src={props.src} />\n            <Paper style={style.paper}>\n                <RadioButtonGroup name='inputImage' defaultSelected='image1'\n                    onChange={e => changeImage(e)} style={style.radio}>\n                    <RadioButton value='image1' label='Building' />\n                    <RadioButton value='image2' label='Tokyo Midtown' />\n                    <RadioButton value='image3' label='Tokyo Garden Terrace' />\n                    <RadioButton value='image4' label='Tokyo Station' />\n                </RadioButtonGroup>\n            </Paper>\n        </div>\n    </MuiThemeProvider>\n);\n \nReactDOM.render(\n    <App src={BuildingImage} />,\n    document.getElementById('content')\n);\n\nconst changeImage = e => {\n    const target = e.target.value;\n    let image = null;\n    switch (target) {\n        case 'image1':\n            image = BuildingImage;\n            break;\n        case 'image2':\n            image = MidtownImage;\n            break;\n        case 'image3':\n            image = GardenImage;\n            break;\n        case 'image4':\n            image = TokyoImage;\n            break;\n    }\n    \n    ReactDOM.render(\n        <App src={image} />,\n        document.getElementById('content')\n    );\n}\n\n/*\nconst image = new Image();\nimage.src = BuildingImage;\nimage.onload = () => {\n    const width = image.width;\n    const height = image.height;\n    const canvas = document.createElement('canvas');\n    const context = canvas.getContext('2d');\n    canvas.width = width;\n    canvas.height = height;\n    context.drawImage(image, 0, 0, width, height);\n    document.getElementById('content').appendChild(canvas);\n    const imageData = context.getImageData(0, 0, width, height);\n    let scale = 0.8;\n    const detector = new LSD(0, scale);\n    const lines = detector.detect(imageData);\n    console.log('lines: ' + lines.length.toString());\n    detector.drawSegments(context, lines);\n};\n*/\n"
  },
  {
    "path": "cv/lsd/src/funcs.js",
    "content": "/**\n * constants and utility math functions\n */\n\nconst M_3_2_PI = (3 * Math.PI) / 2;\nconst M_2__PI = (2 * Math.PI);\nconst M_LN10 = 2.30258509299404568402;\nconst NOT_DEF = -1024.0;\nconst USED = 1;\nconst NOT_USED = 0;\nconst RELATIVE_ERROR_FACTOR = 100.0;\nconst DEG_TO_RADS = Math.PI / 180;\nconst REFINE_NONE = 0;\nconst REFINE_STD = 1;\nconst REFINE_ADV = 2;\n\n\nconst logGamma = x => x > 15.0 ? logGammaWindschitl(x) : logGammaLanczos(x);\n\nconst logGammaWindschitl = x =>\n    0.918938533204673 + (x - 0.5) * Math.log(x) - x\n    + 0.5 * x * Math.log(x * Math.sinh(1 / x) + 1 / (810.0 * Math.pow(x, 6.0)));\n\nfunction logGammaLanczos(x) {\n    const q = [\n        75122.6331530, 80916.6278952, 36308.2951477,\n        8687.24529705, 1168.92649479, 83.8676043424,\n        2.50662827511\n    ];\n    let a = (x + 0.5) * Math.log(x + 5.5) - (x + 5.5);\n    let b = 0;\n    for(let n = 0; n < 7; ++n) {\n        a -= Math.log(x + n);\n        b += q[n] * Math.pow(x, n);\n    }\n    return a + Math.log(b);\n}\n\nconst distSq = (x1, x2, y1, y2) =>\n    (x2 - x1) * (x2 - x1) + (y2 - y1) * (y2 - y1);\n\nconst dist = (x1, x2, y1, y2) => Math.sqrt(distSq(x1, y1, x2, y2));\n\n\n/**\n * @param {number} a\n * @param {number} b\n * @return {number}\n */\nfunction angleDiffSigned(a, b) {\n    let diff = a - b;\n    const PI = Math.PI;\n    while (diff <= -PI) {\n        diff += M_2__PI;\n    }\n    while (diff > PI) {\n        diff -= M_2__PI;\n    }\n    return diff;\n}\n\n/**\n * @param {number} a\n * @param {number} b\n * @return {number}\n */\nfunction angleDiff(a, b) {\n    const value = angleDiffSigned(a, b);\n    return value >= 0  ? value : -value;\n}\n\n/**\n * @param {number} a\n * @param {number} b\n * @return {number}\n */\nfunction doubleEqual(a, b) {\n    if (a == b) {\n        return true;\n    }\n    const diff = a - b;\n    const absDiff = diff >= 0 ? diff : -diff;\n    const aa = a >= 0 ? a : - a;\n    const bb = b >= 0 ? b : - b;\n    let absMax = (aa > bb) ? aa : bb;\n    const MIN_VALUE = Number.MIN_VALUE;\n    if (absMax < MIN_VALUE) {\n        absMax = MIN_VALUE;\n    }\n    return (absDiff / absMax) <= (RELATIVE_ERROR_FACTOR * Number.EPSILON);\n}\n\n/**\n * \n * @param {Edge} a\n * @param {Edge} b\n */\nfunction AsmallerB_XoverY(a, b) {\n    if (a.p.x == b.p.x) {\n        return a.p.y < b.p.y;\n    } else {\n        return a.p.x < b.p.x;\n    }\n}\n\nexport {\n    M_3_2_PI, M_2__PI, M_LN10,\n    NOT_DEF, USED, NOT_USED, RELATIVE_ERROR_FACTOR, DEG_TO_RADS,\n    REFINE_NONE, REFINE_STD, REFINE_ADV,\n    logGamma, dist, distSq, angleDiff, doubleEqual, AsmallerB_XoverY\n};"
  },
  {
    "path": "cv/lsd/src/index.html",
    "content": "<!DOCTYPE html>\n<html>\n  <head>\n    <meta http-equiv=\"Content-type\" content=\"text/html; charset=utf-8\"/>\n    <title>Line Segment Detector Demo</title>\n  </head>\n  <body>\n    <main>\n      <div id=\"content\" />\n    </main>\n  </body>\n</html>"
  },
  {
    "path": "cv/lsd/src/lsd.js",
    "content": "/**\n * Line Segment Detector (LSD) module\n * @author https://github.com/wellflat\n */\n\nimport * as funcs from './funcs';\nimport { Vec4, Point, CoorList, RegionPoint, Rect, Edge } from './types';\n\n/**\n * Create a LineSegmentDetector object.\n * Specifying scale, number of subdivisions for the image,\n * should the lines be refined and other constants as follows:\n *\n * @param refine       How should the lines found be refined?\n *                      REFINE_NONE - No refinement applied.\n *                      REFINE_STD  - Standard refinement is applied. E.g. breaking arches into smaller line approximations.\n *                      REFINE_ADV  - Advanced refinement. Number of false alarms is calculated,\n *                                    lines are refined through increase of precision, decrement in size, etc.\n * @param scale        The scale of the image that will be used to find the lines. Range (0..1].\n * @param sigmaScale   Sigma for Gaussian filter is computed as sigma = _sigma_scale/_scale.\n * @param quant        Bound to the quantization error on the gradient norm.\n * @param angTh        Gradient angle tolerance in degrees.\n * @param logEps       Detection threshold: -log10(NFA) > _log_eps\n * @param densityTh    Minimal density of aligned region points in rectangle.\n * @param nBins        Number of bins in pseudo-ordering of gradient modulus.\n */\nexport default class LSD {\n    constructor(\n        refineType = funcs.REFINE_NONE, scale = 0.8, sigmaScale = 0.6, quant = 2.0,\n        angTh = 22.5, logEps = 0.0, densityTh = 0.7, nBins = 1024\n    ) {\n        this.refineType = refineType;\n        this.scale = scale;\n        this.sigmaScale = sigmaScale;\n        this.quant = quant;\n        this.angTh = angTh;\n        this.logEps = logEps;\n        this.densityTh = densityTh;\n        this.nBins = nBins;\n        /** @type {ImageData} */\n        this.image = null;\n        /** @private @type {Uint8ClampedArray} */\n        this.imageData = null;\n        /** @type {number} */\n        this.width = 0;\n        /** @type {number} */\n        this.height = 0;\n        /** @type {CoorList[]} */\n        this.list = [];\n        /** @type {Float64Array} */\n        this.angles = null;\n        /** @type {Float64Array} */\n        this.modgrad = null;\n        /** @type {Uint8Array} */\n        this.used = null; \n    }\n    /**\n     * Detect lines in the input image.\n     * @param {ImageData} image\n     * @return {Vec4[]}\n     */\n    detect(image) {\n        this.image = image;\n        this.width = image.width;\n        this.height = image.height;\n        const lines = this.lsd();\n        return lines;\n    }\n    /**\n     * Draws the line segments on a given image.\n     * @param {CanvasRenderingContext2D} context\n     * @param {Vec4[]} lines\n     * @param {string} color\n     */\n    drawSegments(context, lines, color = '#ff0000') {\n        context.strokeStyle = color;\n        context.lineWidth = 1;\n        lines.forEach(v => {\n            context.beginPath();\n            context.moveTo(v.x1, v.y1);\n            context.lineTo(v.x2, v.y2);\n            context.stroke();\n            context.closePath();\n        });\n    }\n\n    /**\n     * for debug\n     * @param {CanvasRenderingContext2D} context \n     */    \n    putImageData(context) {\n        let src = this.imageData,\n            image = context.createImageData(this.width, this.height),\n            dst = image.data,\n            len = image.data.length;\n        for (let i = 0; i < len; i += 4) {\n            dst[i] = dst[i + 1] = dst[i + 2] = src[i/4];\n            dst[i + 3] = 255;\n        }\n        context.putImageData(image, 0, 0);\n    }\n    /**\n     * @return {Vec4[]}  Return: A vector of Vec4f elements specifying the beginning and ending point of a line.\n     *                   Where Vec4f is (x1, y1, x2, y2), point 1 is the start, point 2 - end.\n     *                   Returned lines are strictly oriented depending on the gradient.\n     */\n    lsd() {\n        /** @type {Vec4[]} */\n        let lines = [];\n        const prec = Math.PI * this.angTh / 180;\n        const p = this.angTh / 180;\n        const rho = this.quant / Math.sin(prec);\n        if (this.scale != 1) {\n            const sigma = this.scale < 1 ? this.sigmaScale / this.scale : this.sigmaScale;\n            const sprec = 3;\n            const h = Math.ceil(sigma * Math.sqrt(2 * sprec * Math.log(10.0)));\n            const kSize = 1 + 2 * h;\n            const reshaped = this.reshape(this.image);\n            this.imageData = this.gaussianBlur(reshaped, kSize, sigma);\n            this.computeLevelLineAngles(rho, this.nBins);\n        } else {\n            this.imageData = this.reshape(this.image);\n            this.computeLevelLineAngles(rho, this.nBins);\n        }\n\n        const LOG_NT = 5 * (Math.log10(this.width) + Math.log10(this.height)) / 2 + Math.log10(11.0);\n        const minRegSize = -LOG_NT / Math.log10(p);\n        this.used = new Uint8Array(this.imageData.length);\n        for (let i = 0, listSize = this.list.length; i < listSize; i++) {\n            const point = this.list[i].p;\n            if ((this.at(this.used, point) === funcs.NOT_USED) &&\n                (this.at(this.angles, point) !== funcs.NOT_DEF)) {\n                let regAngle = 0.0;\n                /** @type {RegionPoint[]} */\n                let reg = [];\n                regAngle = this.regionGrow(this.list[i].p, reg, regAngle, prec);\n                if (reg.length < minRegSize) {\n                    continue;\n                }\n                let rect = new Rect();\n                this.region2Rect(reg, regAngle, prec, p, rect);\n                let logNfa = -1;\n                if (this.refineType > funcs.REFINE_NONE) {\n                    if (!this.refine(reg, regAngle, prec, p, rect, this.densityTh)) {\n                        continue;\n                    }\n                    if (this.refineType >= funcs.REFINE_ADV) {\n                        logNfa = this.improveRect(rect);\n                        if (logNfa <= this.logEps) {\n                            continue;\n                        }\n                    }\n                }\n                rect.x1 += 0.5;\n                rect.y1 += 0.5;\n                rect.x2 += 0.5;\n                rect.y2 += 0.5;\n                /*\n                if (this.scale != 1) {\n                    rect.x1 /= this.scale;\n                    rect.y1 /= this.scale;\n                    rect.x2 /= this.scale;\n                    rect.y2 /= this.scale;\n                    rect.width /= this.scale;\n                }\n                */\n                lines.push(new Vec4(rect.x1, rect.y1, rect.x2, rect.y2));\n            }\n        }\n        return lines;\n    }\n\n    /**\n     * @param {number} threshold The minimum value of the angle that is considered defined, otherwise NOTDEF\n     * @param {number} nBins     The number of bins with which gradients are ordered by, using bucket sort.\n     */\n    computeLevelLineAngles(threshold, nBins) {\n        const imageData = this.imageData;\n        const width = this.width;\n        const height = this.height;\n        this.angles = new Float64Array(imageData.length);\n        this.modgrad = new Float64Array(imageData.length);\n        this.angles = this.setRow(this.angles, height - 1, funcs.NOT_DEF);\n        this.angles = this.setCol(this.angles, width - 1, funcs.NOT_DEF);\n        let maxGrad = -1.0;\n        for (let y = 0; y < height - 1; y++) {\n            const step = y * width;\n            const nextStep = (y + 1) * width;\n            for (let x = 0; x < width - 1; x++) {\n                const DA = imageData[x + 1 + nextStep] - imageData[x + step];\n                const BC = imageData[x + 1 + step] - imageData[x + nextStep];\n                const gx = DA + BC;\n                const gy = DA - BC;\n                const norm = Math.sqrt((gx * gx + gy * gy) / 4.0);\n                this.modgrad[x + step] = norm;\n                if (norm <= threshold) {\n                    this.angles[x + step] = funcs.NOT_DEF;\n                } else {\n                    this.angles[x + step] = Math.atan2(gx, -gy);\n                    if (norm > maxGrad) {\n                        maxGrad = norm;\n                    }\n                }\n            }\n        }\n        /** @type {CoorList[]} */\n        let rangeS = [];\n        rangeS.length = nBins;\n        /** @type {CoorList[]} */\n        let rangeE = [];\n        rangeE.length = nBins;\n        let count = 0;\n        const binCoef = (maxGrad > 0) ? (nBins - 1) / maxGrad : 0;\n        for (let y = 0; y < height - 1; y++) {\n            let step = y * width;\n            for (let x = 0; x < width - 1; x++) {\n                let i = Math.floor(this.modgrad[x + step] * binCoef);\n                if (!rangeE[i]) {\n                    this.list[count] = new CoorList();\n                    rangeE[i] = rangeS[i] = this.list[count];\n                    count++;\n                } else {\n                    this.list[count] = new CoorList();\n                    rangeE[i] = this.list[count];\n                    rangeE[i].next = this.list[count];\n                    count++;\n                }\n                rangeE[i].p = new Point(x, y);\n                rangeE[i].next = null;\n            }\n        }\n        let idx = nBins - 1;\n        for (; idx > 0 && !rangeS[idx]; idx--) {\n            // do nothing.\n        }\n        let start = rangeS[idx];\n        let endIdx = idx;\n        if (start) {\n            while (idx > 0) {\n                idx--;\n                if (rangeS[idx]) {\n                    rangeE[endIdx].next = rangeS[idx];\n                    rangeE[endIdx] = rangeE[idx];\n                    endIdx = idx;\n                }\n            }\n        }\n    }\n\n    /**\n     * @param {Point} s\n     * @param {RegionPoint[]} reg\n     * @param {number} regAngle\n     * @param {number} prec\n     */\n    regionGrow(s, reg, regAngle, prec) {\n        let seed = new RegionPoint();\n        seed.x = s.x;\n        seed.y = s.y;\n        seed.used = this.at(this.used, s);\n        regAngle = this.at(this.angles, s);\n        seed.angle = regAngle;\n        seed.modgrad = this.at(this.modgrad, s);\n        seed.used = funcs.USED;\n        reg.push(seed);\n        let sumdx = Math.cos(regAngle);\n        let sumdy = Math.sin(regAngle);\n\n        for (let i = 0; i < reg.length; i++) {\n            const rpoint = reg[i],\n                xxMin = Math.max(rpoint.x - 1, 0),\n                xxMax = Math.min(rpoint.x + 1, this.width - 1),\n                yyMin = Math.max(rpoint.y - 1, 0),\n                yyMax = Math.min(rpoint.y + 1, this.height - 1);\n            for (let yy = yyMin; yy <= yyMax; yy++) {\n                const step = yy * this.width;\n                for (let xx = xxMin; xx <= xxMax; xx++) {\n                    let isUsed = this.used[xx + step];\n                    if (isUsed != funcs.USED && this.isAligned(xx, yy, regAngle, prec)) {\n                        const angle = this.angles[xx + step];\n                        isUsed = funcs.USED;\n                        this.used[xx + step] = funcs.USED;\n                        let regionPoint = new RegionPoint(\n                            xx, yy, angle, this.modgrad[xx + step], isUsed\n                        );\n                        reg.push(regionPoint);\n                        sumdx += Math.cos(angle);\n                        sumdy += Math.sin(angle);\n                        regAngle = Math.atan2(sumdy, sumdx);\n                    }\n                }\n            }\n        }\n        return regAngle;\n    }\n\n    /**\n     * @param {number} x\n     * @param {number} y\n     * @param {number} theta\n     * @param {number} prec\n     * @return {boolean}\n     */\n    isAligned(x, y, theta, prec) {\n        if (x < 0 || y < 0 || x >= this.width || y >= this.height) {\n            return false;\n        }\n        const a = this.angles[x + y * this.width];\n        if (a === funcs.NOT_DEF) {\n            return false;\n        }\n        let nTheta = theta - a;\n        if (nTheta < 0) {\n            nTheta = -nTheta;\n        }\n        if (nTheta > funcs.M_3_2_PI) {\n            nTheta -= funcs.M_2__PI;\n            if (nTheta < 0) {\n                nTheta = -nTheta;\n            }\n        }\n        return nTheta <= prec;\n    }\n\n    /**\n     * @param {RegionPoint[]} reg\n     * @param {number} regAngle\n     * @param {number} prec\n     * @param {number} p\n     * @param {Rect} rect\n     */\n    region2Rect(reg, regAngle, prec, p, rect) {\n        let x = 0, y = 0, sum = 0;\n        for (let i = 0; i < reg.length; i++) {\n            const pnt = reg[i];\n            const weight = pnt.modgrad;\n            x += pnt.x * weight;\n            y += pnt.y * weight;\n            sum += weight;\n        }\n        if (sum <= 0) {\n            throw new Error('weighted sum must differ from 0');\n        }\n        x /= sum;\n        y /= sum;\n        const theta = this.getTheta(reg, x, y, regAngle, prec);\n        const dx = Math.cos(theta);\n        const dy = Math.sin(theta);\n        let lMin = 0, lMax = 0, wMin = 0, wMax = 0;\n        for (let i = 0; i < reg.length; i++) {\n            let regdx = reg[i].x - x;\n            let regdy = reg[i].y - y;\n            let l = regdx * dx + regdy * dy;\n            let w = -regdx * dy + regdy * dx;\n            if (l > lMax) {\n                lMax = l;\n            } else if (l < lMin) {\n                lMin = l;\n            }\n            if (w > wMax) {\n                wMax = w;\n            } else if (w < wMin) {\n                wMin = w;\n            }\n        }\n        rect.x1 = x + lMin * dx;\n        rect.y1 = y + lMin * dy;\n        rect.x2 = x + lMax * dx;\n        rect.y2 = y + lMax * dy;\n        rect.width = wMax - wMin;\n        rect.x = x;\n        rect.y = y;\n        rect.theta = theta;\n        rect.dx = dx;\n        rect.dy = dy;\n        rect.prec = prec;\n        rect.p = p;\n        if (rect.width < 1.0) {\n            rect.width = 1.0;\n        }\n    }\n\n    /**\n     * @param {RegionPoint[]} reg\n     * @param {number} x\n     * @param {number} y\n     * @param {number} regAngle\n     * @param {number} prec\n     * @return {number}\n     */\n    getTheta(reg, x, y, regAngle, prec) {\n        let ixx = 0.0,\n            iyy = 0.0,\n            ixy = 0.0;\n        for (let i = 0; i < reg.length; i++) {\n            const regx = reg[i].x;\n            const regy = reg[i].y;\n            const weight = reg[i].modgrad;\n            let dx = regx - x;\n            let dy = regy - y;\n            ixx += dy * dy * weight;\n            iyy += dx * dx * weight;\n            ixy -= dx * dy * weight;\n        }\n        let check = (funcs.doubleEqual(ixx, 0) && funcs.doubleEqual(iyy, 0) && funcs.doubleEqual(ixy, 0));\n        if (check) {\n            throw new Error('check if inertia matrix is null');\n        }\n        let lambda = 0.5 * (ixx + iyy - Math.sqrt((ixx - iyy) * (ixx - iyy) + 4.0 * ixy * ixy));\n        let theta = (Math.abs(ixx) > Math.abs(iyy)) ? Math.atan2(lambda - ixx, ixy) :\n            Math.atan2(ixy, lambda - iyy);\n        if (funcs.angleDiff(theta, regAngle) > prec) {\n            theta += Math.PI;\n        }\n        return theta;\n    }\n\n    /**\n     * @param {RegionPoint[]} reg\n     * @param {number} regAngle\n     * @param {number} prec\n     * @param {number} p\n     * @param {Rect} rect\n     * @param {number} densityTh\n     * @return {boolean}\n     */    \n    refine(reg, regAngle, prec, p, rect, densityTh) {\n        let density = reg.length / (funcs.dist(rect.x1, rect.y1, rect.x2, rect.y2) * rect.width);\n        if (density >= densityTh) {\n            return true;\n        }\n        let xc = reg[0].x;\n        let yc = reg[0].y;\n        const angC = reg[0].angle;\n        let sum = 0, sSum = 0, n = 0;\n        for (let i = 0; i < reg.length; i++) {\n            reg[i].used = funcs.NOT_USED;\n            if (funcs.dist(xc, yc, reg[i].x, reg[i].y) < reg.width) {\n                const angle = reg[i].angle;\n                let angD = funcs.angleDiff(angle, angC);\n                sum += angD;\n                sSum += angD * angD;\n                n++;\n            }\n            let meanAngle = sum / n;\n            let tau = 2.0 * Math.sqrt((sSum - 2.0 * meanAngle * sum) / n + meanAngle * meanAngle);\n            this.regionGrow(new Point(reg[0].x, reg[0].y), reg, regAngle, tau);\n            if (reg.length < 2) {\n                return false;\n            }\n            this.region2Rect(reg, regAngle, prec, p, rect);\n            density = reg.length / (funcs.dist(rect.x1, rect.y1, rect.x2, rect.y2) * rect.width);\n            if (density < densityTh) {\n                return this.reduceRegionRadius(reg, regAngle, prec, p, rect, density, densityTh);\n            } else {\n                return true;\n            }\n        }\n    }\n\n    /**\n     * @param {RegionPoint[]} reg\n     * @param {number} regAngle\n     * @param {number} prec\n     * @param {number} p\n     * @param {Rect} rect\n     * @param {number} density\n     * @param {number} densityTh\n     * @return {boolean}\n     */    \n    reduceRegionRadius(reg, regAngle, prec, p, rect, density, densityTh) {\n        let xc = reg[0].x;\n        let yc = reg[0].y;\n        let radSq1 = funcs.distSq(xc, yc, rect.x1, rect.y1);\n        let radSq2 = funcs.distSq(xc, yc, rect.x2, rect.y2);\n        let radSq = radSq1 > radSq2 ? radSq1 : radSq2;\n        while (density < densityTh) {\n            radSq *= 0.75 * 0.75; // reduce region's radius to 75%\n            for (let i = 0; i < reg.length; i++) {\n                if (funcs.distSq(xc, yc, reg[i].x, reg[i].y) > radSq) {\n                    // remove point from the region\n                    reg[i].used = funcs.NOT_USED;\n                    const tmp = reg[i];\n                    reg[i] = reg[reg.length - 1];\n                    reg[reg.length - 1] = tmp;\n                    reg.pop();\n                    --i;\n                }\n            }\n            if (reg.length < 2) {\n                return false;\n            }\n            this.region2Rect(reg, regAngle, prec, p, rect);\n            density = reg.length / (funcs.dist(rect.x1, rect.y1, rect.x2, rect.y2) * rect.width);\n        }\n        return true;\n    }\n\n    /**\n     * @param {Rect} rect\n     * @return {number}\n     */    \n    improveRect(rect) {\n        let delta = 0.5;\n        let delta2 = delta / 2.0;\n        let logNfa = this.rectNfa(rect);\n        if (logNfa > this.logEps) {\n            return logNfa;\n        }\n        let r = new Rect();\n        r.copy(rect);\n        for (let n = 0; n < 5; n++) {\n            r.p /= 2;\n            r.prec = r.p * Math.PI;\n            let logNfaNew = this.rectNfa(rect);\n            if (logNfaNew > logNfa) {\n                logNfa = logNfaNew;\n                rect.copy(r);\n            }\n        }\n        if (logNfa > this.logEps) {\n            return logNfa;\n        }\n        r.copy(rect);\n        for (let n = 0; n < 5; n++) {\n            if ((r.width - delta) >= 0.5) {\n                r.width -= delta;\n                let logNfaNew = this.rectNfa(r);\n                if (logNfaNew > logNfa) {\n                    rect.copy(r);\n                    logNfa = logNfaNew;\n                }\n            }\n        }\n        if (logNfa > this.logEps) {\n            return logNfa;\n        }\n        r.copy(rect);\n        for (let n = 0; n < 5; n++) {\n            if ((r.width - delta) >= 0.5) {\n                r.x1 -= -r.dy * delta2;\n                r.y1 -= r.dx * delta2;\n                r.x2 -= -r.dy * delta2;\n                r.y2 -= r.dx * delta2;\n                r.width -= delta;\n                let logNfaNew = this.rectNfa(r);\n                if (logNfaNew > logNfa) {\n                    rect.copy(r);\n                    logNfa = logNfaNew;\n                }\n            }\n        }\n        if (logNfa > this.logEps) {\n            return logNfa;\n        }\n        r.copy(rect);\n        for (let n = 0; n < 5; n++) {\n            if ((r.width - delta) >= 0.5) {\n                r.p /= 2;\n                r.prec = r.p * Math.PI;\n                let logNfaNew = this.rectNfa(r);\n                if (logNfaNew > logNfa) {\n                    rect.copy(r);\n                    logNfa = logNfaNew;\n                }\n            }\n        }\n        return logNfa;\n    }\n\n    /**\n     * @param {Rect} rect\n     * @return {number}\n     */    \n    rectNfa(rect) {\n        let totalPts = 0,\n            algPts = 0,\n            halfWidth = rect.width / 2.0,\n            dyhw = rect.dy * halfWidth,\n            dxhw = rect.dx * halfWidth,\n            orderedX = [\n                new Edge(),\n                new Edge(),\n                new Edge(),\n                new Edge()\n            ],\n            minY = orderedX[0],\n            maxY = orderedX[0];\n        orderedX[0].p.x = rect.x1 - dyhw;\n        orderedX[0].p.y = rect.y1 + dxhw;\n        orderedX[1].p.x = rect.x2 - dyhw;\n        orderedX[1].p.y = rect.y2 + dxhw;\n        orderedX[2].p.x = rect.x2 + dyhw;\n        orderedX[2].p.y = rect.y2 - dxhw;\n        orderedX[3].p.x = rect.x1 + dyhw;\n        orderedX[3].p.y = rect.y1 - dxhw;\n\n        orderedX.sort(funcs.AsmallerB_XoverY);\n        \n        for (let i = 1; i < 4; i++) {\n            if (minY.p.y > orderedX[i].p.y) {\n                minY = orderedX[i];\n            }\n            if (maxY.p.y < orderedX[i].p.y) {\n                maxY = orderedX[i];\n            }\n        }\n        minY.taken = true;\n        let leftmost = null;\n        for (let i = 0; i < 4; i++) {\n            if (!orderedX[i].taken) {\n                if (!leftmost) {\n                    leftmost = orderedX[i];\n                } else if (leftmost.p.x > orderedX[i].p.x) {\n                    leftmost = orderedX[i];\n                }\n            }\n        }\n        leftmost.taken = true;\n        let rightmost = null;\n        for (let i = 0; i < 4; i++) {\n            if (!orderedX[i].taken) {\n                if (!rightmost) {\n                    rightmost = orderedX[i];\n                } else if (rightmost.p.x < orderedX[i].p.x) {\n                    rightmost = orderedX[i];\n                }\n            }\n        }\n        rightmost.taken = true;\n        let tailp = null;\n        for (let i = 0; i < 4; i++) {\n            if (!orderedX[i].taken) {\n                if (!tailp) {\n                    tailp = orderedX[i];\n                } else if (tailp.p.x > orderedX[i].p.x) {\n                    tailp = orderedX[i];\n                }\n            }\n        }\n        tailp.taken = true;\n        let flstep = (minY.p.y != leftmost.p.y) ?\n            (minY.p.x + leftmost.p.x) / (minY.p.y - leftmost.p.y) : 0;\n        let slstep = (leftmost.p.y != tailp.p.x) ?\n            (leftmost.p.x = tailp.p.x) / (leftmost.p.y - tailp.p.x) : 0;\n        let frstep = (minY.p.y != rightmost.p.y) ?\n            (minY.p.x - rightmost.p.x) / (minY.p.y - rightmost.p.y) : 0;\n        let srstep = (rightmost.p.y != tailp.p.x) ?\n            (rightmost.p.x - tailp.p.x) / (rightmost.p.y - tailp.p.x) : 0;\n        let lstep = flstep, rstep = frstep;\n        let leftX = minY.p.x, rightX = minY.p.x;\n        let minIter = minY.p.y;\n        let maxIter = maxY.p.y;\n        for (let y = minIter; y <= maxIter; y++) {\n            if (y < 0 || y >= this.height) {\n                continue;\n            }\n            for (let x = leftX; x <= rightX; x++) {\n                if (x < 0 || x >= this.width) {\n                    continue;\n                }\n                totalPts++;\n                if (this.isAligned(x, y, rect.theta, rect.prec)) {\n                    algPts++;\n                }\n            }\n            if (y >= leftmost.p.y) {\n                lstep = slstep;\n            }\n            if (y >= rightmost.p.y) {\n                rstep = srstep;\n            }\n            leftX += lstep;\n            rightX += rstep;\n        }\n        return this.nfa(totalPts, algPts, rect.p);\n    }\n\n    /**\n     * @param {number} n\n     * @param {number} k\n     * @param {number} p\n     */    \n    nfa(n, k, p) {\n        const LOG_NT = 5 * (Math.log10(this.width) + Math.log10(this.height)) / 2 + Math.log10(11.0);\n        if (n == 0 || k == 0) {\n            return -LOG_NT;\n        }\n        if (n == k) {\n            return -LOG_NT - n * Math.log10(p);\n        }\n        let pTerm = p / (1 - p);\n        let log1Term = (n + 1) - funcs.logGamma(k + 1)\n            - funcs.logGamma(n - k + 1)\n            + k * Math.log(p) + (n - k) * Math.log(1.0 - p);\n        let term = Math.exp(log1Term);\n        if (funcs.doubleEqual(term, 0)) {\n            if (k > n * p) {\n                return -log1Term / funcs.M_LN10 - LOG_NT;\n            } else {\n                return -LOG_NT;\n            }\n        }\n        let binTail = term;\n        let tolerance = 0.1;\n        for (let i = k + 1; i <= n; i++) {\n            let binTerm = (n - i + 1) / i;\n            let multTerm = binTerm * pTerm;\n            term *= multTerm;\n            binTail += term;\n            if (binTerm < 1) {\n                let err = term * ((1 - Math.pow(multTerm, (n - i + 1))) / (1 - multTerm) - 1);\n                if (err < tolerance * Math.abs(-Math.log10(binTail) - LOG_NT) * binTail) {\n                    break;\n                }\n            }\n        }\n        return -Math.log10(binTail) - LOG_NT;\n    }\n\n    /**\n     * @param {Uint8ClampedArray} imageData\n     * @param {number} kSize\n     * @param {number} sigma\n     * @return {Uint8ClampedArray}\n     */    \n    gaussianBlur(imageData, kSize, sigma) {\n        let width = this.width,\n            height = this.height,\n            src = imageData,\n            ctx = document.createElement('canvas').getContext('2d'),\n            tmp = ctx.createImageData(width, height),\n            dst = null,\n            kernel = this.getGaussianKernel(kSize, sigma),\n            r = (kSize - 1) / 2;\n        tmp = this.reshape(tmp);\n        dst = new Uint8ClampedArray(tmp.length);\n        // separate 2d-filter\n        for (let y = 0; y < height; y++) {\n            let step = y * width;\n            for (let x = 0; x < width; x++) {\n                let buff = 0;\n                let i = x + step;\n                let k = 0;\n                for (let kx = -r; kx <= r; kx++) {\n                    let px = x + kx;\n                    if (px <= 0 || width <= px) {\n                        px = x;\n                    }\n                    let j = px + step;\n                    buff += src[j] * kernel[k];\n                    k++;\n                }\n                tmp[i] = buff;\n            }\n        }\n        \n        for (let x = 0; x < width; x++) {\n            for (let y = 0; y < height; y++) {\n                let step = y * width;\n                let buff = 0;\n                let i = x + step;\n                let k = 0;\n                for (let ky = -r; ky <= r; ky++) {\n                    let py = y + ky;\n                    let kStep = ky * width;\n                    if (py <= 0 || height <= py) {\n                        py = y;\n                        kStep = 0;\n                    }\n                    let j = i + kStep;\n                    buff += tmp[j] * kernel[k];\n                    k++;\n                }\n                dst[i] = buff;\n            }\n        }\n        return dst;\n    }\n\n    /**\n     * @param {number} kSize\n     * @param {number} sigma\n     * @return {number[]}\n     */\n    getGaussianKernel(kSize, sigma) {\n        // 1d-kernel\n        let kernel = [];\n        let sigmaX = sigma > 0 ? sigma : ((kSize - 1) * 0.5 - 1) * 0.3 + 0.8;\n        let scale2X = -0.5 / (sigmaX * sigmaX);\n        let sum = 0.0;\n        for (let i = 0; i < kSize; i++) {\n            let x = i - (kSize - 1) * 0.5;\n            kernel[i] = Math.exp(scale2X * x * x);\n            sum += kernel[i];\n        }\n        sum = 1. / sum;\n        for (let i = 0; i < kSize; i++) {\n            kernel[i] *= sum;\n        }\n        return kernel;\n    }\n    /**\n     * @param {ImageData} image\n     * @return {Uint8ClampedArray}\n     */\n    reshape(image) {\n        let src = image.data;\n        let reshaped = new Uint8ClampedArray(src.length / 4);\n        let len = reshaped.length;\n        for (let i = 0; i < len; i++) {\n            reshaped[i] = src[i * 4];\n        }\n        return reshaped;\n    }\n\n    /**\n     * @param {Uint8Array|Float64Array} data\n     * @param {Point} p \n     */\n    at(data, p) {\n        return data[p.x + (p.y * this.width)];\n    }\n\n    /**\n     * @param {Float64Array} data\n     * @param {number} rowIndex\n     */\n    row(data, rowIndex) {\n        let i = rowIndex * this.width; \n        return data.subarray(i, i + this.width);\n    }\n\n    /**\n     * @param {Float64Array} data\n     * @param {number} index\n     * @param {number} value\n     * @return {null}\n     */\n    setRow(data, index, value) {\n        let from = index * this.width;\n        let to = from + this.width;\n        for (let i = from; i < to; i++) {\n            data[i] = value;\n        }\n        return data;\n    }\n\n    /**\n     * @param {Float64Array} data\n     * @param {number} index\n     * @param {number} value\n     * @return {null}\n     */\n    setCol(data, index, value) {\n        let to = this.height * this.width;\n        let step = this.width;\n        for (let i = index; i < to; i += step) {\n            data[i] = value;\n        }\n        return data;\n    }\n}"
  },
  {
    "path": "cv/lsd/src/lsd_component.js",
    "content": "import React from 'react';\nimport RaisedButton from 'material-ui/RaisedButton';\nimport LSD from './lsd';\n\nexport default class LSDComponent extends React.Component {\n    constructor(props) {\n        super(props);\n        this.onLoad = this.onLoad.bind(this);\n    }\n    componentDidMount() {\n        this.image = new Image();\n        this.image.onload = this.onLoad;\n        this.image.src = this.props.src;\n        this.canvas = this.refs.canvas;\n        this.width = 0;\n        this.height = 0;\n    }\n    componentDidUpdate() {\n        this.image.src = this.props.src;\n    }\n    apply(e) {\n        e.preventDefault();\n        const ctx = this.canvas.getContext('2d'),\n            imageData = ctx.getImageData(0, 0, this.width, this.height),\n            scale = 0.8,\n            detector = new LSD(0, scale),\n            lines = detector.detect(imageData);\n        console.log('lines: ' + lines.length.toString());\n        detector.drawSegments(ctx, lines);\n    }\n    reset(e) {\n        e.preventDefault();\n        const ctx = this.canvas.getContext('2d');\n        ctx.drawImage(this.image, 0, 0, this.width, this.height);\n    }\n    onLoad() {\n        const ctx = this.canvas.getContext('2d');\n        this.width = this.image.width;\n        this.height = this.image.height;\n        this.canvas.width = this.width;\n        this.canvas.height = this.height;\n        ctx.drawImage(this.image, 0, 0, this.width, this.height);\n    }\n    render() {\n        return (\n            <article>\n                <div>\n                    <canvas ref=\"canvas\" />\n                </div>\n                <div>\n                    <RaisedButton ref=\"button\" label=\"detect line segments\" primary={true}\n                        onTouchTap={e => this.apply(e)} />\n                    <RaisedButton ref=\"reset\" label=\"reset canvas\" primary={false}\n                        onTouchTap={e => this.reset(e)} />\n                </div>\n            </article>\n        )\n    }\n}"
  },
  {
    "path": "cv/lsd/src/types.js",
    "content": "class Vec4 {\n    constructor(x1 = 0, y1 = 0, x2 = 0, y2 = 0) {\n        this.x1 = x1;\n        this.y1 = y1;\n        this.x2 = x2;\n        this.y2 = y2;\n    }\n}\n\nclass Point {\n    constructor(x = 0.0, y = 0.0) {\n        this.x = x;\n        this.y = y;\n    }\n}\n\nclass CoorList {\n    constructor() {\n        this.p = new Point();\n        /** @type {CoorList} */\n        this.next = null;\n    }\n}\n\nclass RegionPoint {\n    constructor(x = 0, y = 0, angle = 0.0, modgrad = 0.0, used = null) {\n        this.x = x;\n        this.y = y;\n        this.angle = angle;\n        this.modgrad = modgrad;\n        /** @type {number} */\n        this.used = used;\n    }\n}\n\nclass Rect {\n    constructor(\n        x1 = 0, y1 = 0, x2 = 0, y2 = 0,\n        width = 0, height = 0, x = 0, y = 0, theta = 0,\n        dx = 0, dy = 0, prec = 0, p = 0\n    ) {\n        this.x1 = x1;\n        this.y1 = y1;\n        this.x2 = x2;\n        this.y2 = y2;\n        this.width = width;\n        this.height = height;\n        this.x = x;\n        this.y = y;\n        this.theta = theta;\n        this.dx = dx;\n        this.dy = dy;\n        this.prec = prec;\n        this.p = p;\n    }\n    /**\n     * @param {Rect} rect\n     */\n    copy(rect) {\n        this.x1 = rect.x1;\n        this.y1 = rect.y1;\n        this.x2 = rect.x2;\n        this.y2 = rect.y2;\n        this.width = rect.width;\n        this.height = rect.height;\n        this.x = rect.x;\n        this.y = rect.y;\n        this.theta = rect.theta;\n        this.dx = rect.dx;\n        this.dy = rect.dy;\n        this.prec = rect.prec;\n        this.p = rect.p;\n    }\n}\n\nclass Edge {\n    constructor() {\n        this.p = new Point();\n        this.taken = null;\n    }\n}\n\nexport {\n    Vec4, Point, CoorList, RegionPoint, Rect, Edge\n};"
  },
  {
    "path": "cv/lsd/webpack.config.js",
    "content": "const HtmlWebpackPlugin = require('html-webpack-plugin');\nconst webpack = require('webpack');\n\nmodule.exports = {\n    entry: __dirname + '/src/app.js',\n    output: {\n        path: __dirname + '/dst',\n        filename: 'bundle.js',\n    },\n    module: {\n        loaders: [\n            {\n                test: /\\.js[x]?$/,\n                exclude: /(node_modules|bower_components)/,\n                loader: 'babel-loader',\n                query: {\n                    presets: ['es2015', 'react'],//, 'react-hmre']\n                }\n            },\n            {\n                test: /\\.html$/,\n                loader: 'html-loader'\n            },\n            {\n                test: /\\.(jpg|png)$/,\n                loader: 'url-loader'\n            }\n        ]\n    },\n    resolve: {\n        extensions: ['.js', '.jsx']\n    },\n    devServer: {\n        contentBase: '/dst',\n        port: 8888\n    },\n    devtool: 'source-map',\n    plugins: [\n        new HtmlWebpackPlugin({\n            title: \"React Sample\",\n            filename: 'index.html',\n            template: __dirname + '/src/index.html'\n        })    \n    ]\n};"
  },
  {
    "path": "cv/ort_web/HelloONNX.vue",
    "content": "<template>\n  <div class=\"hello\">\n    <h1>{{ msg }}</h1>\n    <canvas width=\"32\" height=\"32\" ref=\"canvas\"></canvas>\n    <button type=\"button\" @click=\"inference\">inference</button>\n    <span>{{ infoLabel }}</span>\n  </div>\n</template>\n\n<script lang=\"ts\">\nimport { defineComponent } from 'vue';\nimport { InferenceSession, Tensor } from 'onnxruntime-web';\ninterface DataType {\n  modelPath: string,\n  imagePath: string,\n  imageData: ImageData | null,\n  ctx: CanvasRenderingContext2D | null,\n  session: InferenceSession | null,\n  infoLabel: string\n}\nexport default defineComponent({\n  name: 'HelloONNX',\n  props: {\n    msg: String,\n  },\n  data(): DataType {\n    return {\n      modelPath: 'cifar10_net.onnx',  // ONNX model file name\n      imagePath: require(\"@/assets/cat9.png\"),  // test image\n      imageData: null,\n      ctx: null,\n      session: null,\n      infoLabel: \"\"\n    };\n  },\n  async mounted() {\n    const option = {executionProviders: ['wasm', 'webgl']};\n    this.session = await InferenceSession.create(this.modelPath, option);\n    this.infoLabel = \"loading model complete.\"\n    const image = new Image();\n    image.src = this.imagePath;\n    const isCanvas = (x: any): x is HTMLCanvasElement => x instanceof HTMLCanvasElement;\n    image.onload = () => {\n      // put image data on the HTML canvas\n      const ref = this.$refs;\n      if(!isCanvas(ref.canvas)) return;\n      this.ctx = ref.canvas.getContext(\"2d\");\n      if(this.ctx == null) return;\n      const [w, h] = [this.ctx.canvas.width, this.ctx.canvas.height];\n      this.ctx.drawImage(image, 0, 0, w, h);\n      this.imageData = this.ctx.getImageData(0, 0, w, h);\n    };\n  },\n  methods: {\n    async inference(): Promise<void> {\n      if(this.session == null || this.imageData == null) return;\n      const { data, width, height } = this.imageData;\n      // normalize\n      const processed = this.normalize((data as Uint8ClampedArray), width, height);\n      // run inference using ORT\n      const tensor = new Tensor(\"float32\", processed, [1, 3, width, height]);\n      const feed = { input: tensor };\n      const result = await this.session.run(feed);\n      const predicted = this.softmax((result.output.data as Float32Array));\n      // view result\n      this.infoLabel = this.getClass(predicted).toString();\n    },\n    normalize(src: Uint8ClampedArray, width: number, height: number): Float32Array {\n      const dst = new Float32Array(width * height * 3);\n      const transforms = [[0.4914, 0.4822, 0.4465], [0.2023, 0.1994, 0.2010]];\n      const step = width * height;\n      for(let y = 0; y < height; y++) {\n        for(let x = 0; x < width; x++) {\n          const [di, si] = [y * width + x, (y * width + x) * 4];\n          // normalize data\n          // format RGBARGBARGBA... to RRR...GGG...BBB...\n          dst[di] = ((src[si + 0] / 255) - transforms[0][0]) / transforms[1][0];\n          dst[di + step] = ((src[si + 1] / 255) - transforms[0][1]) / transforms[1][1];\n          dst[di + step * 2] = ((src[si + 2] / 255) - transforms[0][2]) / transforms[1][2];\n        }\n      }\n      return dst;\n    },\n    softmax(data: Float32Array): Float32Array {\n      const max = Math.max(...data);\n      const d = data.map(y => Math.exp(y - max)).reduce((a, b) => a + b);\n      return data.map((value, index) => Math.exp(value - max) / d);\n    },\n    getClass(data: Float32Array): [string, number] {\n      // CIFAR-10 classes\n      const classes = ['airplane', 'automobile', 'bird', 'cat', 'deer', 'dog', 'frog', 'horse', 'ship', 'truck'];\n      const maxProb = Math.max(...data);\n      return [classes[data.indexOf(maxProb)], maxProb];\n    }\n  }\n});\n</script>"
  },
  {
    "path": "cv/ort_web/README.md",
    "content": "## Image Classification using ONNX Runtime for Web (ORT Web) \n\nthis example is the [CIFAR-10](https://www.cs.toronto.edu/~kriz/cifar.html) classification build by [Vue.js](https://vuejs.org/index.html) component\n\nsee also: [ONNX Runtime Web](https://github.com/microsoft/onnxruntime/tree/master/js/web#readme)"
  },
  {
    "path": "cv/pixel_clustering/README.md",
    "content": "# Pixel Clustering Module\n\n## description\n\nPixel clustering using k-means++ algorithm\n\nsee also [blog entry][entry]\n\n### sample\n[![pixel_clustering](https://raw.github.com/wiki/wellflat/imageprocessing-labs/images/pixel_clustering.jpg)](http://rest-term.com/labs/html5/pixelclustering.html)\n\n(Tests: IE10, Firefox23.0, Chrome28.0, Safari6.0)\n\n## usage\n\n```js\nvar ctx = document.querySelector('#Canvas').getContext('2d');\n// source image, callback function\nPixelCluster.load(srcImgName, function() {\n  // performs k-means on a set of observation vectors forming k clusters\n  var division = 100;\n  var k = 4;\n  var method = PixelCluster.KMEANS_PP;  // KMEANS_PP or KMEANS_RANDOM\n  PixelCluster.perform(division, k, method, function(result) {\n    // render the result to canvas element\n    PixelCluster.render(ctx, division, result);\n  });\n});\n```\n\nlicense\n----------\nCopyright &copy; 2014 wellflat Licensed under the [MIT License][MIT]\n\n[MIT]: http://www.opensource.org/licenses/mit-license.php\n[entry]: http://rest-term.com/archives/3073/\n"
  },
  {
    "path": "cv/pixel_clustering/kmeans.js",
    "content": "/**\n * provides routines for k-means clustering, generating code books,\n * and quantizing vectors by comparing them with centroids.\n * (specified CanvasPixelArray [[R,G,B],[R,G,B],...])\n */\n\n/* performs k-means on a set of observation vectors forming k clusters */\nfunction kmeans(samples, ncluster, method) {\n  var centroids = [],\n      previous = [],\n      clusters = [],\n      code = [],\n      len = samples.length,\n      eps = 1.0e-8,\n      maxIter = 1000,\n      iter = 0,\n      distance = function(a, b) {\n        var dr = a[0] - b[0],\n            dg = a[1] - b[1],\n            db = a[2] - b[2];\n        return dr*dr + dg*dg + db*db;\n      },\n      nearest = function(sample, centroids) {\n        var minIndex = 0,\n            minDistance = Number.MAX_VALUE,\n            clusterCount = centroids.length;\n        for(var k=0; k<clusterCount; k++) {\n          var d = distance(centroids[k], sample);\n          if(minDistance > d) {\n            minDistance = d;\n            minIndex = k;\n          }\n        }\n        return [minIndex, minDistance];\n      },\n      initialize = function(samples, ncluster, method, centroids, clusters) {\n        var len = samples.length;\n        if(method === 'kmeans_pp') {\n          // kmeans++\n          var d = [], sumDistance = 0.0, label, k, i,\n              r = Math.floor(Math.random()*len);\n          centroids[0] = [];\n          centroids[0][0] = samples[r][0];\n          centroids[0][1] = samples[r][1];\n          centroids[0][2] = samples[r][2];\n          previous[0] = [0.0, 0.0, 0.0];\n          clusters[0] = [];\n          for(k=1; k<ncluster; k++) {\n            sumDistance = 0.0;\n            for(i=0; i<len; i++) {\n              d[i] = nearest(samples[i], centroids)[1];\n              sumDistance += d[i];\n            }\n            sumDistance *= Math.random();\n            for(i=0; i<len; i++) {\n              sumDistance -= d[i];\n              if(sumDistance > 0) continue;\n              centroids[k] = [];\n              centroids[k][0] = samples[i][0];\n              centroids[k][1] = samples[i][1];\n              centroids[k][2] = samples[i][2];\n              break;\n            }\n            previous[k] = [0.0, 0.0, 0.0];\n            clusters[k] = [];\n          }\n          for(i=0; i<len; i++) {\n            label = nearest(samples[i], centroids);\n            clusters[label[0]].push(samples[i]);\n          }\n        } else {\n          // random\n          for(k=0; k<ncluster; k++) {\n            centroids[k] = [Math.random()*255, Math.random()*255, Math.random()*255];\n            previous[k] = [0.0, 0.0, 0.0];\n            clusters[k] = [];\n          }\n          for(i=0; i<len; i++) {\n            label = Math.floor(Math.random()*k);\n            clusters[label].push(samples[i]);\n          }\n        }\n        \n      },\n      canTerminate = function() {\n        var cnt = 0;\n        for(var k=0; k<ncluster; k++) {\n          if(distance(centroids[k], previous[k]) < eps) cnt++;\n        }\n        if(cnt === ncluster) return true;\n        else return false;\n      };\n  \n  // initializes centroids and clusters\n  initialize(samples, ncluster, method, centroids, clusters);\n  \n  while(!canTerminate() && iter < maxIter) {\n    iter++;\n    // calculates centroids\n    for(var k=0; k<ncluster; k++) {\n      if(!clusters[k] || !clusters.length) continue;\n      var r = 0.0, g = 0.0, b = 0.0, llen = clusters[k].length;\n      for(var i=0; i<llen; i++) {\n        r += clusters[k][i][0];\n        g += clusters[k][i][1];\n        b += clusters[k][i][2];\n      }\n      previous[k][0] = centroids[k][0];\n      previous[k][1] = centroids[k][1];\n      previous[k][2] = centroids[k][2];\n      centroids[k] = [r/llen, g/llen, b/llen];\n    }\n    // updates clusters\n    clusters = [];\n    code = [];\n    for(i=0; i<len; i++) {\n      var minDistance = Number.MAX_VALUE, currentLabel = -1;\n      for(k=0; k<ncluster; k++) {\n        var d = distance(centroids[k], samples[i]);\n        if(d < minDistance) {\n          minDistance = d;\n          currentLabel = k;\n        }\n      }\n      if(!clusters[currentLabel]) clusters[currentLabel] = [];\n      if(!code[currentLabel]) code[currentLabel] = [];\n      clusters[currentLabel].push(samples[i]);\n      code[currentLabel].push(i);\n    }\n  }\n  return {\"centroids\":centroids, \"code\":code};\n}\n\n/* quantizing vectors by comparing them with centroids */\nfunction vq(samples, centroids, code) {\n  var clusterCount = centroids.length,\n      len = samples.length;\n  for(var k=0; k<clusterCount; k++) {\n    var ilen = code[k].length;\n    for(var i=0; i<ilen; i++) {\n      samples[code[k][i]] = centroids[k];\n    }\n  }\n  return samples;\n}\n\n/* message handler */\nself.addEventListener('message', function(e) {\n  var message = e.data;\n  var codebook = kmeans(message.samples, message.ncluster, message.method);\n  var result = vq(message.samples, codebook[\"centroids\"], codebook[\"code\"]);\n  postMessage(result);\n}, false);\n\nself.addEventListener('error', function(e) {\n  postMessage(e);\n}, false);\n"
  },
  {
    "path": "cv/pixel_clustering/pixelcluster.js",
    "content": "/**\n * Pixel Clustering module\n * http://rest-term.com\n */\n(function() {\n  var PixelCluster;  // top-level namaspace\n  var _root = this;  // reference to 'window' or 'global'\n\n  if(typeof exports !== 'undefined') {\n    PixelCluster = exports;   // for CommonJS\n  } else {\n    PixelCluster = _root.PixelCluster = {};\n  }\n\n  var ctx = null,\n      image = null,\n      imgData = null,\n      worker = new Worker('lib/js/kmeans.js');\n  \n  var core = {\n    load: function(fileName, onComplete, onError) {\n      ctx = document.createElement('canvas').getContext('2d');\n      image = new Image();\n      imgData = null;\n      image.addEventListener('load', function(e) {\n        var img = e.target;\n        ctx.canvas.width = img.width;\n        ctx.canvas.height = img.height;\n        ctx.drawImage(img, 0, 0);\n        imgData = ctx.getImageData(0, 0, img.width, img.height);\n        if(typeof onComplete === 'function') {\n          onComplete(imgData, new Date());\n        }\n      }, false);\n      image.addEventListener('error', function() {\n        if(typeof onError === 'function') {\n          onError();\n        }\n      }, false);\n      image.src = fileName;\n    },\n    perform: function(division, ncluster, method, onComplete, onError) {\n      var features = core.extractFeatures(division);\n      if(typeof onComplete === 'undefined') {\n        var codebook = core.kmeans(features, ncluster, method);\n        var result =  core.vq(features, codebook[\"centroids\"], codebook[\"code\"]);\n        return result;\n      } else {\n        var message = {\"samples\":features, \"ncluster\":ncluster, \"method\":method};\n        worker.postMessage(message);\n        worker.addEventListener('message', function(e) {\n          e.target.removeEventListener('message', arguments.callee);\n          if(typeof onComplete === 'function') {\n            onComplete(e.data);\n          }\n        }, false);\n        worker.addEventListener('error', function(e) {\n          e.target.removeEventListener('error', arguments.callee);\n          if(typeof onError === 'function') {\n            onError();\n          }\n        }, false);\n        return true;\n      }\n    },\n    /* extracts feature vectors */\n    extractFeatures: function(division) {\n      var w = imgData.width,\n          h = imgData.height,\n          data = imgData.data,\n          len = w*h*4,\n          features = [],\n          bins = [0, 0, 0],\n          step, kstep, dx, dy, inv, i, j;\n\n      if(w%division != 0 || h%division != 0) {\n        throw Error('invalid parameter: division');\n      }\n      dx = w/division;\n      dy = h/division;\n      inv = 1/(dx*dy);\n      // means of each color, each segment\n      for(var y=0; y<division; y++) {\n        step = y*dy*w << 2;\n        for(var x=0; x<division; x++) {\n          i = step + (x*dx << 2);\n          bins = [0, 0, 0];\n          for(var ky=0; ky<dy; ky++) {\n            kstep = i + (ky*w << 2);\n            for(var kx=0; kx<dx; kx++) {\n              j = kstep + (kx << 2);\n              bins[0] += data[j];     // R\n              bins[1] += data[j + 1]; // G\n              bins[2] += data[j + 2]; // B\n            }\n          }\n          features.push([bins[0]*inv, bins[1]*inv, bins[2]*inv]);\n        }\n      }\n      return features;\n    },\n    /* performs k-means on a set of observation vectors forming k clusters */\n    kmeans: function(samples, ncluster, method) {\n      var centroids = [],\n          previous = [],\n          clusters = [],\n          code = [],\n          len = samples.length,\n          eps = 1.0e-8,\n          maxIter = 1000,\n          iter = 0,\n          distance = function(a, b) {\n            var dr = a[0] - b[0],\n                dg = a[1] - b[1],\n                db = a[2] - b[2];\n            return dr*dr + dg*dg + db*db;\n          },\n          nearest = function(sample, centroids) {\n            var minIndex = 0,\n                minDistance = Number.MAX_VALUE,\n                clusterCount = centroids.length;\n            for(var k=0; k<clusterCount; k++) {\n              var d = distance(centroids[k], sample);\n              if(minDistance > d) {\n                minDistance = d;\n                minIndex = k;\n              }\n            }\n            return [minIndex, minDistance];\n          },\n          initialize = function(samples, ncluster, method, centroids, clusters) {\n            var len = samples.length;\n            if(method === 'kmeans_pp') {\n              // kmeans++\n              var d = [], sumDistance = 0.0, label, k, i,\n                  r = Math.floor(Math.random()*len);\n              centroids[0] = [];\n              centroids[0][0] = samples[r][0];\n              centroids[0][1] = samples[r][1];\n              centroids[0][2] = samples[r][2];\n              previous[0] = [0.0, 0.0, 0.0];\n              clusters[0] = [];\n              for(k=1; k<ncluster; k++) {\n                sumDistance = 0.0;\n                for(i=0; i<len; i++) {\n                  d[i] = nearest(samples[i], centroids)[1];\n                  sumDistance += d[i];\n                }\n                sumDistance *= Math.random();\n                for(i=0; i<len; i++) {\n                  sumDistance -= d[i];\n                  if(sumDistance > 0) continue;\n                  centroids[k] = [];\n                  centroids[k][0] = samples[i][0];\n                  centroids[k][1] = samples[i][1];\n                  centroids[k][2] = samples[i][2];\n                  break;\n                }\n                previous[k] = [0.0, 0.0, 0.0];\n                clusters[k] = [];\n              }\n              for(i=0; i<len; i++) {\n                label = nearest(samples[i], centroids);\n                clusters[label[0]].push(samples[i]);\n              }\n            } else {\n              // random\n              for(k=0; k<ncluster; k++) {\n                centroids[k] = [Math.random()*255, Math.random()*255, Math.random()*255];\n                previous[k] = [0.0, 0.0, 0.0];\n                clusters[k] = [];\n              }\n              for(i=0; i<len; i++) {\n                label = Math.floor(Math.random()*k);\n                clusters[label].push(samples[i]);\n              }\n            }\n            \n          },\n          canTerminate = function() {\n            var cnt = 0;\n            for(var k=0; k<ncluster; k++) {\n              if(distance(centroids[k], previous[k]) < eps) cnt++;\n            }\n            if(cnt === ncluster) return true;\n            else return false;\n          },\n          sumDistance = function(centroids) {\n            var sum = 0.0, len = centroids.length;\n            for(var i=0; i<len-1; i++) {\n              sum += distance(centroids[i], centroids[i + 1]);\n            }\n            return sum;\n          };\n      // initializes centroids and clusters\n      initialize(samples, ncluster, method, centroids, clusters);\n      \n      while(!canTerminate() && iter < maxIter) {\n        iter++;\n        // calculates centroids\n        for(var k=0; k<ncluster; k++) {\n          if(!clusters[k] || !clusters.length) continue;\n          var r = 0.0, g = 0.0, b = 0.0, llen = clusters[k].length;\n          for(var i=0; i<llen; i++) {\n            r += clusters[k][i][0];\n            g += clusters[k][i][1];\n            b += clusters[k][i][2];\n          }\n          previous[k][0] = centroids[k][0];\n          previous[k][1] = centroids[k][1];\n          previous[k][2] = centroids[k][2];\n          centroids[k] = [r/llen, g/llen, b/llen];\n        }\n        // updates clusters\n        clusters = [];\n        code = [];\n        for(i=0; i<len; i++) {\n          var minDistance = Number.MAX_VALUE, currentLabel = -1;\n          for(k=0; k<ncluster; k++) {\n            var d = distance(centroids[k], samples[i]);\n            if(d < minDistance) {\n              minDistance = d;\n              currentLabel = k;\n            }\n          }\n          if(!clusters[currentLabel]) clusters[currentLabel] = [];\n          if(!code[currentLabel]) code[currentLabel] = [];\n          clusters[currentLabel].push(samples[i]);\n          code[currentLabel].push(i);\n        }\n      }\n      return {\"centroids\":centroids, \"code\":code};\n    },\n    /* quantizing vectors by comparing them with centroids */\n    vq: function(samples, centroids, code) {\n      var ncluster = centroids.length,\n          len = samples.length;\n      for(var k=0; k<ncluster; k++) {\n        var ilen = code[k].length;\n        for(var i=0; i<ilen; i++) {\n          samples[code[k][i]] = centroids[k];\n        }\n      }\n      return samples;\n    },\n    render: function(context, division, features) {\n      var w = imgData.width,\n          h = imgData.height,\n          data = imgData.data,\n          dstImgData = context.getImageData(0, 0, w, h),\n          dstData = dstImgData.data,\n          len = w*h*4,\n          step, kstep, dx, dy, inv, i, j;\n      if(w%division != 0 || h%division != 0) {\n        throw Error('invalid parameter: division');\n      }\n      dx = w/division;\n      dy = h/division;\n      inv = 1/(dx*dy);\n      // means of each color, each segment\n      var f = 0, p = [];\n      for(var y=0; y<division; y++) {\n        step = y*dy*w << 2;\n        for(var x=0; x<division; x++) {\n          i = step + (x*dx << 2);\n          p = features[f++];\n          for(var ky=0; ky<dy; ky++) {\n            kstep = i + (ky*w << 2);\n            for(var kx=0; kx<dx; kx++) {\n              j = kstep + (kx << 2);\n              dstData[j] = p[0];\n              dstData[j + 1] = p[1];\n              dstData[j + 2] = p[2];\n              dstData[j + 3] = 255;\n            }\n          }\n        }\n      }\n      context.putImageData(dstImgData, 0, 0);\n    }\n  };\n  // public APIs\n  PixelCluster.load = core.load;\n  PixelCluster.mosaic = core.extractFeatures;\n  PixelCluster.perform = core.perform; // using web workers\n  PixelCluster.render = core.render;\n  PixelCluster.KMEANS_PP = \"kmeans_pp\";\n  PixelCluster.KMEANS_RANDOM = \"kmeans_random\";\n}).call(this);\n"
  },
  {
    "path": "cv/poisson_blending/README.md",
    "content": "# Poisson Image Editing Module\n\n## description\n\nImage composition using Poisson Image Editing algorithm\n\nsee also [blog entry][entry]\n\n### sample\n[![poisson_blending](https://raw.github.com/wiki/wellflat/imageprocessing-labs/images/poisson_blending.jpg)](http://rest-term.com/labs/html5/poisson.html)\n\n(Tests: IE10, Firefox22.0, Chrome28.0, Safari6.0)\n\n## usage\n\n```js\nvar ctx = document.querySelector('#Canvas').getContext('2d');\n// source image, destination image, mask image, callback function\nPoisson.load(srcImgName, dstImgName, maskImgName, function() {\n  // max iteration, X offset, Y offset\n  var result = Poisson.blend(100, 10, -20);\n  // render to canvas\n  ctx.putImageData(result, 0, 0);\n});\n```\n\nlicense\n----------\nCopyright &copy; 2014 wellflat Licensed under the [MIT License][MIT]\n\n[MIT]: http://www.opensource.org/licenses/mit-license.php\n[entry]: http://rest-term.com/archives/3066/\n"
  },
  {
    "path": "cv/poisson_blending/poisson.js",
    "content": "/**\n * Poisson Image Editing module\n * http://rest-term.com\n */\n(function() {\n  var Poisson;       // top-level namaspace\n  var _root = this;  // reference to 'window' or 'global'\n\n  if(typeof exports !== 'undefined') {\n    Poisson = exports;   // for CommonJS\n  } else {\n    Poisson = _root.Poisson = {};\n  }\n\n  // core operations\n  var EPS = 1.0E-08;\n  var ctx = null,\n      images = [new Image(), new Image(), new Image()],\n      files = [],\n      data = [],\n      loadedCount = 0;\n  var core = {\n    // loads images\n    load: function(srcImgName, dstImgName, maskImgName, onComplete, onError) {\n      ctx = document.createElement('canvas').getContext('2d');\n      images[0].src = files[0] = srcImgName;\n      images[1].src = files[1] = dstImgName;\n      images[2].src = files[2] = maskImgName;\n      // load complete handler\n      for (var i=0; i<3; i++) {\n        var image = images[i];\n        image.addEventListener('load', function(e) {\n          var img = e.target;\n          ctx.canvas.width = img.width;\n          ctx.canvas.height = img.height;\n          ctx.drawImage(img, 0, 0);\n          var imgData = ctx.getImageData(0, 0, img.width, img.height);\n          switch(img.src) {\n          case files[0]:  // cannot use a 'i' index\n            data[0] = imgData;\n            break;\n          case files[1]:\n            data[1] = imgData;\n            break;\n          case files[2]:\n            data[2] = imgData;\n            break;\n          }\n          loadedCount++;\n          if(loadedCount === 3) {\n            ctx.drawImage(images[1], 0, 0);\n            data[3] = ctx.getImageData(0, 0, img.width, img.height);\n            if(typeof onComplete === 'function') {\n              onComplete(data);\n            }\n          }\n        }, false);\n        image.addEventListener('error', function() {\n          if(typeof onError === 'function') {\n            onError();\n          }\n        }, false);\n      }\n    },\n    reset: function() {\n      ctx.drawImage(images[1], 0, 0);\n      data[3] = ctx.getImageData(0, 0, images[1].width, images[1].height);\n      return data[3];\n    },\n    // applies poisson image editing\n    blend: function(iteration, offsetX, offsetY) {\n      var w = data[0].width,\n          h = data[0].height,\n          len = w*h*4,\n          srcData = data[0].data,\n          dstData = data[1].data,\n          maskData = data[2].data,\n          blendData = data[3].data,\n          edge = false,\n          error = 0.0,\n          sumf = [0.0, 0.0, 0.0],\n          sumfstar = [0.0, 0.0, 0.0],\n          sumvq = [0.0, 0.0, 0.0],\n          fp = [],\n          fq =  [],\n          gp = [],\n          gq = [],\n          subf = [],\n          subg = [],\n          naddr = [],\n          threashold = 128,\n          terminate = [],\n          step, l, m;\n      // validation\n      if(!(parseInt(iteration) && parseInt(offsetX) && parseInt(offsetY))) {\n        throw TypeError('invalid parameter type');\n      }\n      // core operation\n      for(var i=0; i<iteration; i++) {\n        terminate = [true, true, true];\n        for(var y=1; y<h-1; y++) {\n          step = y*w << 2;\n          for(var x=1; x<w-1; x++) {\n            l = step + (x << 2);\n            m = offsetY*w + offsetX << 2;\n            naddr = [l - (w << 2), l - 4, l + 4, l + (w << 2)];\n            if(maskData[l] > threashold) { // on the mask\n              sumf = [0.0, 0.0, 0.0];\n              sumfstar = [0.0, 0.0, 0.0];\n              sumvq = [0.0, 0.0, 0.0];\n              edge = false;\n              for(var n=0; n<4; n++) {\n                if(maskData[naddr[n]] <= threashold) {\n                  edge = true;\n                  break;\n                }\n              }\n              if(!edge) {\n                if(y + offsetY >= 0 && x + offsetX >= 0 &&\n                   y + offsetY < h && x + offsetX < w) {\n                  for(n=0; n<4; n++) {\n                    for(var c=0; c<3; c++) {\n                      sumf[c] += blendData[naddr[n] + m + c];\n                      sumvq[c] += srcData[l + c] - srcData[naddr[n] + c];\n                    }\n                  }\n                }\n              } else {\n                if(y + offsetY >= 0 && x + offsetX >= 0 &&\n                   y + offsetY < h && x + offsetX < w) {\n                  fp[0] = dstData[l + m];\n                  fp[1] = dstData[l + m + 1];\n                  fp[2] = dstData[l + m + 2];\n                  gp[0] = srcData[l];\n                  gp[1] = srcData[l + 1];\n                  gp[2] = srcData[l + 2];\n                  for(n=0; n<4; n++) {\n                    for(c=0; c<3; c++) {\n                      fq[c] = dstData[naddr[n] + m + c];\n                      gq[c] = srcData[naddr[n] + c];\n                      sumfstar[c] += fq[c];\n                      subf[c] = fp[c] - fq[c];\n                      subf[c] = subf[c] > 0 ? subf[c] : -subf[c];\n                      subg[c] = gp[c] - gq[c];\n                      subg[c] = subg[c] > 0 ? subg[c] : -subg[c];\n                      if(subf[c] > subg[c]) {\n                        sumvq[c] += subf[c];\n                      } else {\n                        sumvq[c] += subg[c];\n                      }\n                    }\n                  }\n                }\n              }\n              for(c=0; c<3; c++) {\n                fp[c] = (sumf[c] + sumfstar[c] + sumvq[c])*0.25; // division 4\n                error = Math.floor(fp[c] - blendData[l + m + c]);\n                error = error > 0 ? error : -error;\n                if(terminate[c] && error > EPS*(1 + (fp[c] > 0 ? fp[c] : -fp[c]))) {\n                  terminate[c] = false;\n                }\n                blendData[l + m + c] = fp[c];\n              }\n            } // end mask\n          } // end x loop\n        } // end y loop\n        if(terminate[0] && terminate[1] && terminate[2]) break;\n      } // end iteration\n      return data[3];\n    }\n  };\n  // aliases (public APIs)\n  Poisson.load = core.load;\n  Poisson.reset = core.reset;\n  Poisson.blend = core.blend;\n}).call(this);\n"
  },
  {
    "path": "cv/stereo_matching/README.md",
    "content": "# Stereo Matching Module\n\n## description\n\ncomputes the disparity map using naive block matching\n\nsee also [blog entry][entry]\n\n### sample\n[![stereo_matching](https://raw.github.com/wiki/wellflat/imageprocessing-labs/images/stereo_matching.jpg)](http://rest-term.com/labs/html5/stereo.html)\n\n(Tests: IE10, Firefox7.0, Chrome14.0, Opera11.51)\n\nlicense\n----------\nCopyright &copy; 2014 wellflat Licensed under the [MIT License][MIT]\n\n[MIT]: http://www.opensource.org/licenses/mit-license.php\n[entry]: http://rest-term.com/archives/2940/\n"
  },
  {
    "path": "cv/stereo_matching/stereo-core.js",
    "content": "/**\n *  computes the disparity for the rectified stereo pair,\n *  naive implementation without using dynamic programming.\n */\nfunction findStereoCorrespondence(pair, state) {\n  var w = pair[0].width,\n      h = pair[0].height,\n      data = [pair[0].data, pair[1].data],\n      disparity = [],\n      step = w << 2,\n      winSize = state.SADWindowSize,\n      threshold = state.textureThreshold,\n      minDisparity = state.minDisparity,\n      maxDisparity = state.numberOfDisparities - minDisparity,\n      maxDiff = 255 * winSize * winSize,\n      localMin = maxDiff,\n      sad = 0,\n      diff, cur, ptr;\n  for(var y=0, cur=step; y<h-1; y++, cur+=step) {\n    for(var x=0, i=cur; x<w; x++, i+=4) {\n      for(var d=minDisparity, ptr=i; d<maxDisparity; d++, ptr-=4) {\n        if(ptr < cur) continue;\n        for(var ly=0; ly<winSize; ly++) {\n          if(sad > threshold || y + ly > h) break;\n          for(var lx=0, j=ly*step; lx<winSize; lx++, j+=4) {\n            if(x + lx > w) break;\n            diff = data[0][i + j] - data[1][ptr + j];\n            if(isNaN(diff)) diff = 0;\n            sad += (diff < 0 ? -diff : diff);\n          }\n        }\n        if(localMin > sad) {\n          localMin = sad;\n          disparity[i] = disparity[i + 1] = disparity[i + 2] = d << 4;\n          disparity[i + 3] = 255;\n        }\n        sad = 0;\n      }\n      localMin = maxDiff;\n    }\n  }\n  return {'width':w, 'height':h, 'disparity':disparity};\n}\n\n/* message handler */\nself.addEventListener('message', function(e) {\n  var message = e.data,\n      data = message.pair,  // CanvasPixelArray pair\n      state = message.state;\n  postMessage(findStereoCorrespondence(data, state));\n}, false);\nself.addEventListener('error', function(e) {\n  postMessage(e);\n}, false);\n"
  },
  {
    "path": "cv/stereo_matching/stereo.js",
    "content": "/**\n * Stereo Matching module using Web Workers\n */\n(function() {\n  var Stereo;        // top-level namespace\n  var _root = this;  // reference to 'window' or 'global'\n\n  if(typeof exports !== 'undefined') {\n    Stereo = exports;  // for CommonJS\n  } else {\n    Stereo = _root.Stereo = {};\n  }\n\n  var version = {\n    release: '0.1.0',\n    date: '2011-01'\n  };\n  Stereo.toString = function() {\n    return \"version \" + version.release + \", released \" + version.date;\n  };\n\n  // core operations\n  var ctx = null,\n      left = new Image(),\n      right = new Image(),\n      data = [null, null],\n      state = {},\n      worker = new Worker('lib/js/stereo-core.js');\n  var core = {\n    /* load stereo pair images */\n    _load : function(leftSource, rightSource) {\n      ctx = document.createElement('canvas').getContext('2d');\n      left.src = leftSource;\n      right.src = rightSource;\n      // load complete handler\n      left.addEventListener('load', function() {\n        ctx.canvas.width = left.width;\n        ctx.canvas.height = left.height;\n        ctx.drawImage(left, 0, 0);\n        data[0] = ctx.getImageData(0, 0, left.width, left.height);\n      }, false);\n      right.addEventListener('load', function() {\n        ctx.canvas.width = right.width;\n        ctx.canvas.height = right.height;\n        ctx.drawImage(right, 0, 0);\n        data[1] = ctx.getImageData(0, 0, right.width, right.height);\n      }, false);\n      // load error handler\n      left.addEventListener('error', function() {\n        alert('can\\'t load left image');\n      }, false);\n      right.addEventListener('error', function() {\n        alert('can\\'t load right image');\n      }, false);\n    },\n    /* draw disparity map on the canvas */\n    _draw : function(data, context) {\n      var img = context.getImageData(0, 0, data.width, data.height),\n          pixels = img.data,\n          disparity = data.disparity,\n          len = disparity.length;\n      for(var i=0; i<len; i++) {\n        pixels[i] = disparity[i];\n      }\n      context.putImageData(img, 0, 0);\n    },\n    /* find stereo correspondence using worker */\n    _find : function(preset, wSize, nDisparities) {\n      core._validate();\n      core._createState(preset);\n      if(wSize) state.SADWindowSize = wSize;\n      if(nDisparities) state.numberOfDisparities = nDisparities;\n      var message = {'pair':data, 'state':state};\n      worker.postMessage(message);\n      return worker;\n    },\n    /* triangulation */\n    _triangulate : function() {\n      // TODO\n    },\n    /* create the structure for block matching algorithm */\n    _createState : function(preset) {\n      switch(preset.toUpperCase()) {\n      case 'BASIC':\n      case 'FISH_EYE':\n      case 'NARROW':\n        // not using currently\n      default:\n        state.minDisparity = 0;\n        state.numberOfDisparities = 10;\n        state.SADWindowSize = 5;\n        state.textureThreshold = 1500;\n        break;\n      }\n    },\n    /* validate stereo pair images */\n    _validate : function() {\n      if(!left.complete || !right.complete) {\n        throw new Error('load images incomplete');\n      }\n      if(left.width != right.width &&\n         left.height != right.height) {\n        throw new Error('invalid images, required stereo pair');\n      }\n    },\n    /* cache disparity map data */\n    _fetchData : function(key) {\n      return JSON.parse(window.localStorage[key]);\n    },\n    _storeData : function(key, value) {\n      window.localStorage[key] = JSON.stringify(value);\n    }\n  };\n  // aliases (public APIs)\n  var apis = ['load', 'find', 'draw', 'fetchData', 'storeData'];\n  for(var i=0; i<apis.length; i++) {\n    Stereo[apis[i]] = core['_' + apis[i]];\n  }\n}).call(this);"
  },
  {
    "path": "cv/utils/histogram.js",
    "content": "/**\n * Image Histogram Caluculator using Web Worker API\n */\nvar Class = {\n  create : function() {\n    var properties = arguments[0];\n    function self() {\n      this.initialize.apply(this, arguments);\n    }\n    for(var i in properties) {\n      self.prototype[i] = properties[i];\n    }\n    if(!self.prototype.initialize) {\n      self.prototype.initialize = function() {};\n    }\n    return self;\n  }\n};\n\nvar Histogram = Class.create({\n  initialize : function(imageData, type) {\n    this.width = imageData.width;\n    this.height = imageData.height;\n    this.data = imageData.data;\n    this.bins = {v1:[], v2:[], v3:[]};\n    this.type = type || 'rgb';\n    this.fillBins(256, 0);\n  },\n  fillBins : function(length, value) {\n    for(var i=0; i<length; i++) {\n      this.bins.v1[i] = value;\n      this.bins.v2[i] = value;\n      this.bins.v3[i] = value;\n    }\n  },\n  calculate : function() {\n    this.convertColor(this.type);\n    var len = this.data.length;\n    for(var i=0; i<len; i+=4) {\n      this.bins.v1[this.data[i]]++;\n      this.bins.v2[this.data[i + 1]]++;\n      this.bins.v3[this.data[i + 2]]++;\n    }\n  },\n  getMax : function() {\n    var max = 0;\n    for(var ch in this.bins) {\n      for(var i=0; i<256; i++) {\n        max = this.bins[ch][i] > max ? this.bins[ch][i] : max;\n      }\n    }\n    return max;\n  },\n  normalize : function(factor) {\n    for(var ch in this.bins) {\n      for(var i=0; i<256; i++) {\n        this.bins[ch][i] /= factor;\n      }\n    }\n  },\n  backProject : function() {\n    // TODO\n  },\n  compare : function(hist, method) {\n    // TODO\n    switch(method) {\n    case 'correl':\n      break;\n    case 'chisqr':\n      break;\n    case 'intersect':\n      break;\n    case 'bhattacharyya':\n      break;\n    default:\n      break;\n    }\n  },\n  convertColor : function(type) {\n    // TODO\n    switch(type) {\n    case 'rgb':\n      break;\n    case 'gray':\n      break;\n    case 'hsv':\n      break;\n    default:\n      break;\n    }\n  }\n});\n\nself.addEventListener('message', function(e) {\n  var hist = new Histogram(e.data);\n  hist.calculate();\n  hist.bins.max = hist.getMax();\n  postMessage(hist.bins);\n}, false);\n\nself.addEventListener('error', function(e) {\n  postMessage(e);\n}, false);"
  },
  {
    "path": "draw/README.md",
    "content": "# 3D Shapes Drawing\n\n## description\n\nDrawing 3D shapes (pseudo 3D)\n\n[![3d_drawing](https://raw.github.com/wiki/wellflat/imageprocessing-labs/images/3dshape_drawing.png)](http://rest-term.com/labs/html5/)\n\n### demo\n[Heart Surface][Heart]\n\n[Mobius Strip][Mobius]\n\n[Klein Bottle][Klein]\n\n(Tests: IE10, Firefox8.0, Safari5.0, Chrome16.0, Opera11.60)\n\nlicense\n----------\nCopyright &copy; 2014 wellflat Licensed under the [MIT License][MIT]\n\n[Heart]: http://rest-term.com/labs/html5/heart.html\n[Mobius]: http://rest-term.com/labs/html5/mobius.html\n[Klein]: http://rest-term.com/labs/html5/klein.html\n[MIT]: http://www.opensource.org/licenses/mit-license.php\n[entry]: http://rest-term.com/archives/2986/\n"
  },
  {
    "path": "draw/heart.js",
    "content": "/**\n * Heart Surface Maker\n */\nvar Heart = (function() {\n  var _context = null,\n      _width = null,\n      _height = null,\n      _scale = 25,\n      _fov = 250,\n      _points = [],\n      _numPoints = 0,\n      _isPlay = false,\n      _timerID = null,\n      // public methods\n      _init = function(context, n) {\n        _context = context;\n        _width = context.canvas.width;\n        _height = context.canvas.height;\n        _points = [];\n        _setStyle(_context.createLinearGradient(0, 0, 0, 300));\n        _setPoints(n);\n      },\n      _play = function(t, angle) {\n        if(!_isPlay) {\n          _timerID = setInterval(function() {\n            _render(angle)\n          }, t);\n          _isPlay = true;\n        }\n      },\n      _stop = function() {\n        if(_isPlay) {\n          clearInterval(_timerID);\n          _isPlay = false;\n        }\n      },\n      // private methods\n      _setStyle = function(grad) {\n        grad.addColorStop(0, 'rgb(255, 255, 255)');\n        grad.addColorStop(0.7, 'rgb(196, 196, 196)');\n        grad.addColorStop(0.8, 'rgb(160, 160, 160)');\n        grad.addColorStop(0.9, 'rgb(128, 128, 128)');\n        grad.addColorStop(1, 'rgb(96, 96, 96)');\n        _context.fillStyle = grad;\n        _context.strokeStyle = 'rgb(255, 0, 160)';\n        _context.fillRect(0, 0, _width, _height);\n      },\n      _setPoints = function(num) {\n        var r, theta, z, n = 0, point;\n        for(var i=-Math.PI*num; i<=Math.PI*num; i++) {\n          for(var j=-num; j<=num; j++) {\n            theta = i/num; z = j/num;\n            r = 4*Math.sqrt(1 - z*z)*Math.pow(Math.sin(Math.abs(theta)), Math.abs(theta));\n            point = [_scale*r*Math.sin(theta),\n                     _scale*r*Math.cos(theta),\n                     _scale*z];\n            _points.push(point);\n            n++;\n          }\n        }\n        _numPoints = n;\n      },\n      _render = function(angle) {\n        _context.fillRect(0, 0, _width, _height);\n        for(var i=0; i<_numPoints; i++)\t{\n          _rotateY(_points[i], angle);\n          _draw(_points[i]);\n        }\n      },\n      _draw = function(point3d) {\n        var scale = _fov/(_fov + point3d[2]),\n            x = (point3d[0]*scale) + (_width >> 1),\n            y = (point3d[1]*scale) + (_height >> 1);\n        _context.lineWidth= scale << 1;\n        _context.beginPath();\n        _context.moveTo(x, y);\n        _context.lineTo(x + scale, y);\n        _context.stroke();\n      },\n      _rotateY = function(point3d, angle) {\n        var x = point3d[0],\n            z = point3d[2],\n            c = Math.cos(angle),\n            s = Math.sin(angle),\n            tz = z,\n            tx = x;\n        x = tx*c + tz*s;\n        z = tz*c - tx*s;\n        point3d[0] = x;\n        point3d[2] = z;\n      };\n  // public APIs\n  return {\n    init: _init,\n    play: _play,\n    stop: _stop,\n  };\n})();"
  },
  {
    "path": "draw/klein.js",
    "content": "/**\n * Klein's Bottle Maker\n */\nvar KleinBottle = (function() {\n  var _context = null,\n      _width = null,\n      _height = null,\n      _scale = 6,\n      _fov = 250,\n      _points = [],\n      _numPoints = 0,\n      _isPlay = false,\n      _timerID = null,\n      // public methods\n      _init = function(context, n) {\n        _context = context;\n        _width = context.canvas.width;\n        _height = context.canvas.height;\n        _points = [];\n        _setStyle(context.createLinearGradient(0, 0, 0, 300));\n        _setPoints(n);\n      },\n      _play = function(t, angle) {\n        if(!_isPlay) {\n          _timerID = setInterval(function() {\n            _render(angle)\n          }, t);\n          _isPlay = true;\n        }\n      },\n      _stop = function() {\n        if(_isPlay) {\n          clearInterval(_timerID);\n          _isPlay = false;\n        }\n      },\n      // private methods\n      _setStyle = function(grad) {\n        grad.addColorStop(0, 'rgb(0, 0, 0)');\n        grad.addColorStop(0.7, 'rgb(16, 16, 16)');\n        grad.addColorStop(0.8, 'rgb(32, 32, 32)');\n        grad.addColorStop(0.9, 'rgb(48, 48, 48)');\n        grad.addColorStop(1, 'rgb(64, 64, 64)');\n        _context.fillStyle = grad;\n        _context.strokeStyle = 'rgb(0, 128, 255)';\n        _context.fillRect(0, 0, _width, _height);\n      },\n      _setPoints = function(num) {\n        var x, y, u, v, r, n = 0, point;\n        for(var i=0; i<=2*Math.PI*num; i++) {\n          for(var j=0; j<=2*Math.PI*4.8; j++) {\n            u = i/num; v = j/4.8;\n            r = 4*(1 - Math.cos(u)/2);\n            if(u<Math.PI) {\n              x = 6*Math.cos(u)*(1 + Math.sin(u)) + r*Math.cos(u)*Math.cos(v);\n              y = 16*Math.sin(u) + r*Math.sin(u)*Math.cos(v);\n            } else {\n              x = 6*Math.cos(u)*(1 + Math.sin(u)) + r*Math.cos(v + Math.PI);\n              y = 16*Math.sin(u);\n            }\n            point = [_scale*x, _scale*y, _scale*r*Math.sin(v)];\n            _points.push(point);\n            n++;\n          }\n        }\n        _numPoints = n;\n      },\n      _render = function(angle) {\n        _context.fillRect(0, 0, _width, _height);\n        for(var i=0; i<_numPoints; i++)\t{\n          _rotateX(_points[i], angle);\n          _rotateY(_points[i], angle);\n          _rotateZ(_points[i], angle);\n          _draw(_points[i]);\n        }\n      },\n      _draw = function(point3d) {\n        var scale = _fov/(_fov + point3d[2]),\n            x = (point3d[0]*scale) + (_width >> 1),\n            y = (point3d[1]*scale) + (_height >> 1);\n        _context.lineWidth= scale << 1;\n        _context.beginPath();\n        _context.moveTo(x, y);\n        _context.lineTo(x + scale, y);\n        _context.stroke();\n      },\n      _rotateX = function(point3d, angle) {\n        var y = point3d[1],\n            z = point3d[2],\n            c = Math.cos(angle),\n            s = Math.sin(angle),\n            ty = y,\n            tz = z;\n        y = ty*c - tz*s;\n        z = ty*s + tz*c;\n        point3d[1] = y;\n        point3d[2] = z;\n      },\n      _rotateY = function(point3d, angle) {\n        var x = point3d[0],\n            z = point3d[2],\n            c = Math.cos(angle),\n            s = Math.sin(angle),\n            tz = z,\n            tx = x;\n        x = tx*c + tz*s;\n        z = tz*c - tx*s;\n        point3d[0] = x;\n        point3d[2] = z;\n      },\n      _rotateZ = function(point3d, angle) {\n        var x = point3d[0],\n            y = point3d[1],\n            c = Math.cos(angle),\n            s = Math.sin(angle),\n            tx = x,\n            ty = y;\n        x = tx*c - ty*s;\n        y = tx*s + ty*c;\n        point3d[0] = x;\n        point3d[1] = y;\n      };\n  // public APIs\n  return {\n    init: _init,\n    play: _play,\n    stop: _stop,\n  };\n})();"
  },
  {
    "path": "draw/lib3d.js",
    "content": "/**\n * My 3D Library v.0.0.2\n * \n */\nvar Class = {\n  create : function() {\n    var properties = arguments[0];\n    function self() {\n      this.initialize.apply(this, arguments);\n    }\n    for(var i in properties) {\n      self.prototype[i] = properties[i];\n    }\n    if(!self.prototype.initialize) {\n      self.prototype.initialize = function() {};\n    }\n    return self;\n  }\n};\n\nvar Point = Class.create({\n  initialize : function(x, y) {\n    this.x = x || 0.0;\n    this.y = y || 0.0;\n  }\n});\n\nvar Vertex3D = Class.create({\n  initialize : function(x, y, z) {\n    this.x = x || 0.0;\n    this.y = y || 0.0;\n    this.z = z || 0.0;\n    this.length = Math.sqrt(this.x*this.x + this.y*this.y + this.z*this.z);\n  },\n  clone : function() {\n    return new Vertex3D(this.x, this.y, this.z);\n  },\n  add : function(v) {\n    return new Vertex3D(this.x + v.x, this.y + v.y, this.z + v.z);\n  },\n  sub : function(v) {\n    return new Vertex3D(this.x - v.x, this.y - v.y, this.z - v.z);\n  },\n  dot : function(v) {\n    return this.x*v.x + this.y*v.y + this.z*v.z;\n  },\n  cross : function(v) {\n    return new Vertex3D(v.y*this.z - v.z * this.y,\n                        v.z*this.x - v.x*this.z,\n                        v.x*this.y - v.y*this.x);\n  },\n  negate : function() {\n    this.x *= -1;\n    this.y *= -1;\n    this.z *= -1;\n  },\n  normalize : function() {\n    if(this.length != 0 && this.length != 1) {\n      var mod = 1/this.length;\n      this.x *= mod;\n      this.y *= mod;\n      this.z *= mod;\n    }\n  },\n  project : function(screen) {\n    var scale = screen.focalLength/(screen.focalLength + this.z);\n    return new Point(\n      this.x*scale + screen.projectionCenter.x,\n      -this.y*scale + screen.projectionCenter.y\n    );\n  },\n  scaleBy : function(s) {\n    this.x *= s;\n    this.y *= s;\n    this.z *= s;\n  },\n  rotateX : function(angle) {\n    var s = Math.sin(angle);\n    var c = Math.cos(angle);\n    return new Vertex3D(\n      this.x,\n      c*this.y - s*this.z,\n      s*this.y + c*this.z\n    );\n  },\n  rotateY : function(angle) {\n    var s = Math.sin(angle);\n    var c = Math.cos(angle);\n    return new Vertex3D(\n      s*this.z + c*this.x,\n      this.y,\n      c*this.z - s*this.x\n    );\n  },\n  rotateZ : function(angle) {\n    var s = Math.sin(angle);\n    var c = Math.cos(angle);\n    return new Vertex3D(\n      c*this.x - s*this.y,\n      s*this.x + c*this.y,\n      this.z\n    );\n  }\n});\n\nvar TriangleMesh3D = Class.create({\n  initialize : function(material, vertices, faces) {\n    this.material = material;\n    if(vertices && vertices.length == 3) {\n      this.v0 = vertices[0];\n      this.v1 = vertices[1];\n      this.v2 = vertices[2];\n    }else {\n      this.v0 = new Vertex3D(1, 0, 0);\n      this.v1 = new Vertex3D(0, 1, 0);\n      this.v2 = new Vertex3D(0, 0, 1); \n    }\n    this.faces = faces || [];\n  },\n  draw : function(screen) {\n    this.material.drawTriangle(this, screen);\n  },\n  rotateX : function(angle) {\n    this.v0 = this.v0.rotateX(angle);\n    this.v1 = this.v1.rotateX(angle);\n    this.v2 = this.v2.rotateX(angle);\n  },\n  rotateY : function(angle) {\n    this.v0 = this.v0.rotateY(angle);\n    this.v1 = this.v1.rotateY(angle);\n    this.v2 = this.v2.rotateY(angle);\n  },\n  rotateZ : function(angle) {\n    this.v0 = this.v0.rotateZ(angle);\n    this.v1 = this.v1.rotateZ(angle);\n    this.v2 = this.v2.rotateZ(angle);\n  },\n  translate : function(v) {\n    this.v0 = this.v0.add(v);\n    this.v1 = this.v1.add(v);\n    this.v2 = this.v2.add(v);\n  }\n});\n\nvar Quaternion = Class.create({\n  initialize : function(x, y, z, w) {\n    this.x = x || 0.0;\n    this.y = y || 0.0;\n    this.z = z || 0.0;\n    this.w = w || 1.0;\n    this.EPSILON = 0.000001;\n    this.DEGTORAD = Math.PI/180.0;\n    this.RADTODEG = 180.0/Math.PI;\n  },\n  clone : function() {\n    return new Quaternion(this.x, this.y, this.z, this.w);\n  },\n  calculateMultiply : function(a, b) {\n    this.x = a.w*b.x + a.x*b.w + a.y*b.z - a.z*b.y;\n    this.y = a.w*b.y - a.x*b.z + a.y*b.w + a.z*b.x;\n    this.z = a.w*b.z + a.x*b.y - a.y*b.x + a.z*b.w;\n    this.w = a.w*b.w - a.x*b.x - a.y*b.y - a.z*b.z;\n  },\n  setFromAxisAngle : function(x, y, z, angle) {\n    var s = Math.sin(angle*0.5);\n    var c = Math.cos(angle*0.5);\n    this.x = x*s;\n    this.y = y*s;\n    this.z = z*s;\n    this.w = c;\n    this.normalize();\n  },\n  setFromEuler : function(ax, ay, az, useDegrees) {\n    if(useDegrees) {\n      ax *= DEGTORAD;\n      ay *= DEGTORAD;\n      az *= DEGTORAD;\n    }\n    var fSinPitch = Math.sin(ax*0.5);\n    var fCosPitch = Math.cos(ax*0.5);\n    var fSinYaw = Math.sin(ay*0.5);\n    var fCosYaw = Math.cos(ay*0.5);\n    var fSinRoll = Math.sin(az*0.5);\n    var fCosRoll = Math.cos(az*0.5);\n    var fCosPitchCosYaw = fCosPitch*fCosYaw;\n    var fSinPitchSinYaw = fSinPitch*fSinYaw;\n    this.x = fSinRoll*fCosPitchCosYaw - fCosRoll*fSinPitchSinYaw;\n    this.y = fCosRoll*fSinPitch*fCosYaw + fSinRoll*fCosPitch*fSinYaw;\n    this.z = fCosRoll*fCosPitch*fSinYaw - fSinRoll*fSinPitch*fCosYaw;\n    this.w = fCosRoll*fCosPitchCosYaw + fSinRoll*fSinPitchSinYaw;\n  },\n  modulo : function() {\n    return Math.sqrt(this.x*this.x + this.y*this.y + this.z*this.z * this.w*this.w);\n  },\n  conjugate : function(a) {\n    return new Quaternion(-a.x, -a.y, -a.z, a.w);\n  },\n  createFromAxisAngle : function(ax, ay, az, useDegrees) {\n    if(useDegrees) {\n      ax *= DEGTORAD;\n      ay *= DEGTORAD;\n      az *= DEGTORAD;\n    }\n    var fSinPitch = Math.sin(ax*0.5);\n    var fCosPitch = Math.cos(ax*0.5);\n    var fSinYaw = Math.sin(ay*0.5);\n    var fCosYaw = Math.cos(ay*0.5);\n    var fSinRoll = Math.sin(az*0.5);\n    var fCosRoll = Math.cos(az*0.5);\n    var fCosPitchCosYaw = fCosPitch*fCosYaw;\n    var fSinPitchSinYaw = fSinPitch*fSinYaw;\n    var q = new Quaternion();\n    q.x = fSinRoll*fCosPitchCosYaw - fCosRoll*fSinPitchSinYaw;\n    q.y = fCosRoll*fSinPitch*fCosYaw + fSinRoll*fCosPitch*fSinYaw;\n    q.z = fCosRoll*fCosPitch*fSinYaw - fSinRoll*fSinPitch*fCosYaw;\n    q.w = fCosRoll*fCosPitchCosYaw + fSinRoll*fSinPitchSinYaw;\n    return q;\n  },\n  add : function(a, b) {\n    return new Quaternion(a.x + b.x, a.y + b.y, a.z + b.z, a.w + b.w);\n  },\n  sub : function(a, b) {\n    return new Quaternion(a.x - b.x, a.y - b.y, a.z - b.z, a.w - b.w);\n  },\n  dot : function(a, b) {\n    return (a.x*b.x) + (a.y*b.y) + (a.z*b.z) + (a.w*b.w);\n  },\n  multiply : function(a, b) {\n    var c = new Quaternion();\n    c.x = a.w*b.x + a.x*b.w + a.y*b.z - a.z*b.y;\n    c.y = a.w*b.y - a.x*b.z + a.y*b.w + a.z*b.x;\n    c.z = a.w*b.z + a.x*b.y - a.y*b.x + a.z*b.w;\n    c.w = a.w*b.w - a.x*b.x - a.y*b.y - a.z*b.z;\n    return c;\n  },\n  mult : function(b) {\n    var ax = this.x;\n    var ay = this.y;\n    var az = this.z;\n    var aw = this.w;\n    this.x = aw*b.x + ax*b.w + ay*b.z - az*b.y;\n    this.y = aw*b.y - ax*b.z + ay*b.w + az*b.x;\n    this.z = aw*b.z + ax*b.y - ay*b.x + az*b.w;\n    this.w = aw*b.w - ax*b.x - ay*b.y - az*b.z;\n  },\n  normalize : function() {\n    var len = this.modulo();\n    if(Math.abs(len) < this.EPSILON) {\n      this.x = this.y = this.z = 0.0;\n      this.w = 1.0;\n    }else {\n      var m = 1/len;\n      this.x *= m;\n      this.y *= m;\n      this.z *= m;\n      this.w *= m;\n    }\n  },\n  slerp : function(qa, qb, alpha) {\n    var angle = qa.w*qb.w + qa.x*qb.x + qa.y*qb.y + qa.z*qb.z;\n    if(angle < 0.0) {\n      qa.x *= -1.0;\n      qa.y *= -1.0;\n      qa.z *= -1.0;\n      qa.w *= -1.0;\n      angle *= -1.0;\n    }\n    var scale;\n    var invscale;\n    if((angle + 1.0) > this.EPSILON) {\n      if((1.0 - angle) >= this.EPSILON) {\n        var theta = Math.acos(angle);\n        var invsintheta = 1.0/Math.sin(theta);\n        scale = Math.sin(theta*(1.0 - alpha))*invsintheta;\n        invscale = Math.sin(theta*alpha)*invsintheta;\n      }else {\n        scale = 1.0 - alpha;\n        invscale = alpha;\n      }\n    }else {\n      qb.y = -qa.y;\n      qb.x = qa.x;\n      qb.w = -qa.w;\n      qb.z = qa.z;\n      scale = Math.sin(Math.PI*(0.5 - alpha));\n      invscale = Math.sin(Math.PI*alpha);\n    }\n    return new Quaternion(scale*qa.x + invscale*qb.x, \n                          scale*qa.y + invscale*qb.y,\n                          scale*qa.z + invscale*qb.z,\n                          scale*qa.w + invscale*qb.w );\n  },\n  toEuler : function() {\n    var euler = {x:0, y:0, z:0};\n    var q = this;\n    var test = q.x*q.y + q.z*q.w;\n    if(test > 0.499) {\n      euler.x = 2*Math.atan2(q.x, q.w);\n      euler.y = Math.PI/2;\n      euler.z = 0;\n      return euler;\n    }\n    if(test < -0.499) {\n      euler.x = -2*Math.atan2(q.x, q.w);\n      euler.y = -Math.PI/2;\n      euler.z = 0;\n      return euler;\n    }\n    var sqx = q.x*q.x;\n    var sqy = q.y*q*y;\n    var sqz = q.z*q.z;\n    euler.x = Math.atan2(2*q.y*q.w - 2*q.x*q.z, 1 - 2*sqy - 2*sqz);\n    euler.y = Math.asin(2*test);\n    euler.z = Math.atan2(2*q.x*q.w - 2*q.y*q.z , 1 - 2*sqx - 2*sqz);\n    return euler;\n  }\n});\n\nvar Scene3D = Class.create({\n  initialize : function() {\n    this.objects = [];\n    this.materials = [];\n  },\n  addObject : function(object) {\n    this.objects.push(object);\n  },\n  removeObject : function(object) {\n    for(var i=0; i<this.objects.length; i++) {\n      if(this.objects[i] == object) {\n        this.objects.splice(i, 1);\n      }\n    }\n  }\n});\n\nvar WireframeMaterial = Class.create({\n  initialize : function(canvas, color, thickness) {\n    this.context = canvas.getContext('2d');\n    this.context.strokeStyle = color || 'rgba(255, 0, 255, 1)';\n    this.context.lineWidth = thickness || 1.0;\n  },\n  drawTriangle : function(tri, screen) {\n    var point = tri.v0.project(screen);\n    this.context.beginPath();\n    this.context.moveTo(point.x, point.y);\n    point = tri.v1.project(screen);\n    this.context.lineTo(point.x, point.y);\n    point = tri.v2.project(screen);\n    this.context.lineTo(point.x, point.y);\n    point = tri.v0.project(screen);\n    this.context.lineTo(point.x, point.y);\n    this.context.closePath();\n    this.context.stroke();\n  }\n});\n\nvar Screen = Class.create({\n  initialize : function(width, height, fieldOfView) {\n    this.width = width;\n    this.height = height;\n    this.projectionCenter = new Point(width*0.5, height*0.5);\n    this.fieldOfView = fieldOfView;\n    this.focalLength = width*0.5*(1/Math.tan(fieldOfView*0.5*Math.PI/180));\n  }\n});\n\nvar BasicRenderEngine = Class.create({\n  initialize : function(canvas, screen, time) {\n    this.width = canvas.width;\n    this.height = canvas.height;\n    this.context = canvas.getContext('2d');\n    this.screen = screen;\n    this.time = time || 100;\n    this.isPlay = false;\n    this.setBackground(this.context.createLinearGradient(0, 0, 0, 300));\n  },\n  setTime : function(time) {\n    this.time = time;\n  },\n  setBackground : function(grad) {\n    grad.addColorStop(0, 'rgb(0, 0, 0)');\n    grad.addColorStop(0.7, 'rgb(16, 16, 16)');\n    grad.addColorStop(0.8, 'rgb(32, 32, 32)');\n    grad.addColorStop(0.9, 'rgb(48, 48, 48)');\n    grad.addColorStop(1, 'rgb(64, 64, 64)');\n    this.context.fillStyle = grad;\n    this.context.fillRect(0, 0, this.width, this.height);\n  },\n  renderScene : function(scene, angle) {\n    var self = this;\n    if(!this.isPlay) {\n      this.timerID = setInterval(function(){self.render(scene, angle);}, this.time);\n      this.isPlay = true;\n    }\n  },\n  stop : function() {\n    if(this.isPlay) {\n      clearInterval(this.timerID);\n      this.isPlay = false;\n    }\n  },\n  render : function(scene, angle) {\n    var objects = scene.objects;\n    this.context.fillRect(0, 0, this.width, this.height);\n    for(var i=0, m_len=objects.length; i<m_len; i++) {\n      for(var j=0, len=objects[i].length; j<len; j++) {\n        objects[i][j].rotateX(angle);\n        objects[i][j].rotateY(angle);\n        objects[i][j].rotateZ(angle);\n        objects[i][j].draw(this.screen);\n      }\n    }\n  }\n});"
  },
  {
    "path": "draw/mobius.js",
    "content": "/**\n * Mobius Strip Maker\n */\nvar MobiusStrip = (function() {\n  var _context = null,\n      _width = null,\n      _height = null,\n      _scale = 60,\n      _fov = 250,\n      _points = [],\n      _numPoints = 0,\n      _isPlay = false,\n      _timerID = null,\n      // public methods\n      _init = function(context, n) {\n        _context = context;\n        _width = context.canvas.width;\n        _height = context.canvas.height;\n        _points = [];\n        _setStyle(context.createLinearGradient(0, 0, 0, 300));\n        _setPoints(n);\n      },\n      _play = function(t, angle) {\n        if(!_isPlay) {\n          _timerID = setInterval(function() {\n            _render(angle)\n          }, t);\n          _isPlay = true;\n        }\n      },\n      _stop = function() {\n        if(_isPlay) {\n          clearInterval(_timerID);\n          _isPlay = false;\n        }\n      },\n      // private methods\n      _setStyle = function(grad) {\n        grad.addColorStop(0, 'rgb(0, 0, 0)');\n        grad.addColorStop(0.7, 'rgb(16, 16, 16)');\n        grad.addColorStop(0.8, 'rgb(32, 32, 32)');\n        grad.addColorStop(0.9, 'rgb(48, 48, 48)');\n        grad.addColorStop(1, 'rgb(64, 64, 64)');\n        _context.fillStyle = grad;\n        _context.strokeStyle = 'rgb(0, 255, 160)';\n        _context.fillRect(0, 0, _width, _height);\n      },\n      _setPoints = function(num) {\n        var s, t, k, n = 0, point;\n        for(var i=0; i<=2*Math.PI*num; i++) {\n          for(var j=-num/8; j<=num/8; j++) {\n            s = i/num; t = j/10;\n            k = 1 + t*Math.cos(s/2);\n            point = [_scale*k*Math.cos(s),\n                     _scale*k*Math.sin(s),\n                     _scale*t*Math.sin(s/2)];\n            _points.push(point);\n            n++;\n          }\n        }\n        _numPoints = n;\n      },\n      _render = function(angle) {\n        _context.fillRect(0, 0, _width, _height);\n        for(var i=0; i<_numPoints; i++)\t{\n          _rotateX(_points[i], angle);\n          _rotateY(_points[i], angle);\n          _rotateZ(_points[i], angle);\n          _draw(_points[i]);\n        }\n      },\n      _draw = function(point3d) {\n        var scale = _fov/(_fov + point3d[2]),\n            x = (point3d[0]*scale) + (_width >> 1),\n            y = (point3d[1]*scale) + (_height >> 1);\n        _context.lineWidth= scale << 1;\n        _context.beginPath();\n        _context.moveTo(x, y);\n        _context.lineTo(x + scale, y);\n        _context.stroke();\n      },\n      _rotateX = function(point3d, angle) {\n        var y = point3d[1],\n            z = point3d[2],\n            c = Math.cos(angle),\n            s = Math.sin(angle),\n            ty = y,\n            tz = z;\n        y = ty*c - tz*s;\n        z = ty*s + tz*c;\n        point3d[1] = y;\n        point3d[2] = z;\n      },\n      _rotateY = function(point3d, angle) {\n        var x = point3d[0],\n            z = point3d[2],\n            c = Math.cos(angle),\n            s = Math.sin(angle),\n            tz = z,\n            tx = x;\n        x = tx*c + tz*s;\n        z = tz*c - tx*s;\n        point3d[0] = x;\n        point3d[2] = z;\n      },\n      _rotateZ = function(point3d, angle) {\n        var x = point3d[0],\n            y = point3d[1],\n            c = Math.cos(angle),\n            s = Math.sin(angle),\n            tx = x,\n            ty = y;\n        x = tx*c - ty*s;\n        y = tx*s + ty*c;\n        point3d[0] = x;\n        point3d[1] = y;\n      };\n\n  // public APIs\n  return {\n    init: _init,\n    play: _play,\n    stop: _stop,\n  };\n})();"
  },
  {
    "path": "draw/webgl/glsample.js",
    "content": "/**\n * WebGL Tutorial\n * https://developer.mozilla.org/ja/docs/Web/API/WebGL_API\n */\n\nvar gl; // WebGL コンテキスト用のグローバル変数\n\nfunction start() {\n  var canvas = document.getElementById(\"Canvas\");\n\n  // GL コンテキストを初期化\n  gl = initWebGL(canvas);\n\n  // WebGL を使用できる場合に限り、処理を継続\n\n  if (gl) {\n    // クリアカラーを黒色、不透明に設定する\n    gl.clearColor(0.0, 0.0, 0.0, 1.0);\n    // 深度テストを有効化\n    gl.enable(gl.DEPTH_TEST);\n    // 近くにある物体は、遠くにある物体を覆い隠す\n    gl.depthFunc(gl.LEQUAL);\n    // カラーバッファや深度バッファをクリアする\n    gl.clear(gl.COLOR_BUFFER_BIT | gl.DEPTH_BUFFER_BIT);\n  }\n}\n\nfunction initWebGL(canvas) {\n  gl = null;\n\n  try {\n    // 標準コンテキストの取得を試みる。失敗した場合は、experimental にフォールバックする。\n    gl = canvas.getContext(\"webgl\") || canvas.getContext(\"experimental-webgl\");\n  } catch(e) {\n    console.log(e);\n  }\n\n  // GL コンテキストを取得できない場合は終了する\n  if (!gl) {\n    alert(\"WebGL を初期化できません。ブラウザはサポートしていないようです。\");\n    gl = null;\n  }\n\n  return gl;\n}"
  },
  {
    "path": "draw/webgl/webglsample.html",
    "content": "<!DOCTYPE html>\n<html lang=\"ja\">\n  <head>\n    <meta charset=\"utf-8\">\n    <link rel=\"stylesheet\" type=\"text/css\" href=\"lib/css/style.css\">\n    <title>WebGL Sample</title>\n  </head>\n  <body onload=\"start()\">\n    <header>\n      <h1 class=\"term\">WebGL Sample</h1>\n    </header>\n    <div class=\"wrap\"><img src=\"images/lena.jpg\" width=\"256\" height=\"256\">\n      <canvas id=\"Canvas\" width=\"256\" height=\"256\"></canvas>\n    </div>\n    <footer> \n      <a href=\"./index.html\" title=\"index\">index</a>\n    </footer>\n    <script src=\"lib/js/glsample.js\"></script>\n  </body>\n</html>\n"
  },
  {
    "path": "ml/README.md",
    "content": "# Machine Learning Module\n\n## description\n\nMachine Learning in JavaScript / TypeScript (+ AngularJS)\n\n### list\n- [AROW](https://github.com/wellflat/imageprocessing-labs/tree/master/ml/arow)\n- [Decision Tree](https://github.com/wellflat/imageprocessing-labs/blob/master/ml/decisiontree/decisiontree.js)\n- [Denoising Autoencoders](https://github.com/wellflat/imageprocessing-labs/tree/master/ml/autoencoder)\n- [K-Means++](https://github.com/wellflat/imageprocessing-labs/blob/master/ml/kmeans/kmeans.js)\n- [Logistic Regression](https://github.com/wellflat/imageprocessing-labs/blob/master/ml/logistic_regression/logistic_regression.ts)\n- [SCW](https://github.com/wellflat/imageprocessing-labs/tree/master/ml/scw)\n- [Gradient Boosting(GBDT)](https://github.com/wellflat/imageprocessing-labs/tree/master/ml/gbdt)\n- [t-Distributed Stochastic Neighbor Embedding(t-SNE)](https://github.com/wellflat/imageprocessing-labs/tree/master/ml/t-sne)\n\n### sample\n[![da](https://github.com/wellflat/imageprocessing-labs/blob/master/images/da_demo.png)](https://rest-term.com/labs/html5/da/)\n\n[![pixel_clustering](https://github.com/wellflat/imageprocessing-labs/blob/master/images/pixel_clustering.jpg)](https://rest-term.com/labs/html5/pixelclustering.html)\n\n[![decision_tree](https://github.com/wellflat/imageprocessing-labs/blob/master/images/decision_tree.png)](https://rest-term.com/labs/html5/dtree.html)\n\n[![t-sne](https://github.com/wellflat/imageprocessing-labs/blob/master/images/tsne.png)](https://rest-term.com/labs/html5/tsne/)\n\n(Tests: Firefox75.0+, Chrome81.0+)\n\n### web sample\n[Denoising Autoencoders][DenoisingAutoencoders]\n\n[Pixel Clustering using K-Means++][PixelClustering]\n\n[Decision Tree Learning][DecisionTree]\n\n[t-Distributed Stochastic Neighbor Embedding(t-SNE)][tSNE]\n\nlicense\n----------\nCopyright &copy; 2014 wellflat Licensed under the [MIT License][MIT]\n\n[DenoisingAutoencoders]: http://rest-term.com/labs/html5/da/\n[PixelClustering]: http://rest-term.com/labs/html5/pixelclustering.html\n[DecisionTree]: http://rest-term.com/labs/html5/dtree.html\n[tSNE]: https://rest-term.com/labs/html5/tsne/\n[MIT]: http://www.opensource.org/licenses/mit-license.php\n"
  },
  {
    "path": "ml/arow/README.md",
    "content": "# Adaptive Regularization of Weight Vectors (AROW)\n\n* AROW algorithm and LIBSVM format data loader modules  \n(JavaScript codes in 'out' directory)\n* LIBSVM Data: Classification (Binary Class) [news20.binary](https://www.csie.ntu.edu.tw/~cjlin/libsvmtools/datasets/binary.html#news20.binary)\n\n## usage in TypeScript\n\n```typescript\nimport {Feature, DataSet} from './types';\nimport {AROW} from './arow';\nimport {DataLoader} from './data_loader';\n\nconst featureSize: number = 1355191;\nconst r: number = 0.1;\nconst clf: AROW = new AROW(featureSize, r);\nconst trainDataFile: string = 'data/news20_train';\nconst testDataFile: string = 'data/news20_test';\n\nconsole.log('asynchronous stream data read training');\nDataLoader.read(trainDataFile, (x: Feature, label: number) => {\n    clf.update(x, label);\n}, () => {\n    console.log('a iteration training complete.');\n    let size: number = 0;\n    let error: number = 0;\n\n    DataLoader.read(testDataFile, (x: Feature, label: number) => {\n        size++;\n        let predLabel: number = clf.predict(x);\n        if (predLabel != label) {\n            error++;\n        }\n    }, () => {\n        console.log('error rate = ' + (error / size));\n    });\n});\n\nconsole.log('synchronous batch data read training');\nconst trainData: DataLoader = new DataLoader(trainDataFile);\nconst testData: DataLoader = new DataLoader(testDataFile);\nconsole.log('load data complete.');\nconsole.log(trainData.size, testData.size);\n\nconst maxIter: number = 5;\nfor (let i = 0; i < maxIter; i++) {\n    trainData.data.forEach(e => {\n        clf.update(e.x, e.label);\n    });\n    var error: number = 0;\n    testData.data.forEach(e => {\n        var predLabel: number = clf.predict(e.x);\n        if (predLabel != e.label) {\n            error++;\n        }\n    });\n    console.log('iteration: ' + (i + 1) + ', error rate = ' + (error / testData.size));\n}\n```\n"
  },
  {
    "path": "ml/arow/app.ts",
    "content": "﻿import {Feature, DataSet} from './types';\nimport {AROW} from './arow';\nimport {DataLoader} from './data_loader';\n\nconst featureSize: number = 1355191;\nconst r: number = 0.1;\nconst clf: AROW = new AROW(featureSize, r);\nconst trainDataFile: string = 'data/news20_train';\nconst testDataFile: string = 'data/news20_test';\n\nconsole.log('asynchronous stream data read training');\nDataLoader.read(trainDataFile, (x: Feature, label: number) => {\n    clf.update(x, label);\n}, () => {\n    console.log('a iteration training complete.');\n    let size: number = 0;\n    let error: number = 0;\n\n    DataLoader.read(testDataFile, (x: Feature, label: number) => {\n        size++;\n        let predLabel: number = clf.predict(x);\n        if (predLabel != label) {\n            error++;\n        }\n    }, () => {\n        console.log('error rate = ' + (error / size));\n    });\n});\n\nconsole.log('synchronous batch data read training');\nconst trainData: DataLoader = new DataLoader(trainDataFile);\nconst testData: DataLoader = new DataLoader(testDataFile);\nconsole.log('load data complete.');\nconsole.log(trainData.size, testData.size);\n\nconst maxIter: number = 5;\nfor (let i = 0; i < maxIter; i++) {\n    trainData.data.forEach(e => {\n        clf.update(e.x, e.label);\n    });\n    var error: number = 0;\n    testData.data.forEach(e => {\n        var predLabel: number = clf.predict(e.x);\n        if (predLabel != e.label) {\n            error++;\n        }\n    });\n    console.log('iteration: ' + (i + 1) + ', error rate = ' + (error / testData.size));\n}\n"
  },
  {
    "path": "ml/arow/arow.ts",
    "content": "/**\n * AROW (Adaptive Regularization of Weight Vectors) class\n */\n\nimport {Feature, DataSet} from './types';\n\nexport class AROW {\n    private mean: Float32Array;\n    private cov: Float32Array;\n    private f: number;\n    private r: number;\n\n    constructor(featureSize: number, r: number = 0.1) {\n        this.f = featureSize;\n        this.mean = new Float32Array(featureSize);\n        this.cov = new Float32Array(featureSize);\n        this.cov.fill(1.0);\n        this.r = r;\n    }\n\n    public predict(x: Feature): number {\n        return this.computeMargin(x) > 0 ? 1 : -1;\n    }\n\n    public clear(): void {\n        this.mean = new Float32Array(this.f);\n        this.cov = new Float32Array(this.f);\n        this.cov.fill(1.0);\n    }\n\n    public update(x: Feature, label: number): number {\n        let margin: number = this.computeMargin(x);\n        let loss: number = margin * label < 0 ? 1 : 0;\n        if (margin * label >= 1) {\n            return 0;\n        }\n        let confidence: number = this.computeConfidence(x);\n        let beta: number = 1.0 / (confidence + this.r);\n        let alpha: number = (1.0 - label * margin) * beta;\n        x.forEach(e => {\n            this.mean[e.index] += alpha * label * this.cov[e.index] * e.value;\n        })\n        x.forEach(e => {\n            this.cov[e.index] = 1.0 / ((1.0 / this.cov[e.index]) + e.value * e.value / this.r);\n        });\n        return loss;\n    }\n\n    private computeMargin(x: Feature): number {\n        let res:number = 0.0;\n        x.forEach(e => res += this.mean[e.index] * e.value);\n        return res;\n    }\n\n    private computeConfidence(x: Feature): number {\n        let res:number = 0.0;\n        x.forEach(e => res += this.cov[e.index] * e.value * e.value);\n        return res;\n    }\n}"
  },
  {
    "path": "ml/arow/data_loader.ts",
    "content": "/**\n * Data loader for LIBSVM data format\n * <label> <index1>:<value1> <index2>:<value2> ... \\n\n */\n\nimport * as fs from 'fs';\nimport * as readline from 'readline';\nimport {Feature, DataSet} from './types';\n\nexport class DataLoader {\n    private buffer: Buffer;\n    private dataSet: DataSet;\n    private filePath: string;\n    private dataNum: number;\n\n    get data(): DataSet {\n        return this.dataSet;\n    }\n    get size(): number {\n        return this.dataNum;\n    }\n\n    constructor(filePath: string) {\n        this.filePath = filePath;\n        this.buffer = fs.readFileSync(this.filePath);\n        this.dataSet = [];\n        this.parse();\n    }\n\n    private parse(): void {\n        let lines: string[] = this.buffer.toString().split('\\n');\n        this.dataNum = lines.length - 1;\n        lines.forEach(line => {\n            const fields: string[] = line.split(/[\\s:]/);\n            const label: number = fields[0].charAt(0) == '+' ? +1 : -1;\n            const x: Feature = [];\n            const len: number = fields.length;\n            for (let i = 1; i < len; i += 2) {\n                let index: number = parseInt(fields[i]) - 1;\n                let value: number = parseFloat(fields[i + 1]);\n                let element = { index, value };\n                x.push(element);\n            }\n            this.dataSet.push({ label, x });\n        });\n    }\n\n    public static read(filePath: string, callback: Function, complete: Function = null): void {\n        const options: Object = { encoding: 'utf8', highWaterMark: 256 };\n        const stream: fs.ReadStream = fs.createReadStream(filePath, options);\n        const rl: readline.ReadLine = readline.createInterface(stream, null);\n        \n        rl.on('line', (line: string) => {\n            const fields: string[] = line.split(/[\\s:]/);\n            const label: number = fields[0].charAt(0) == '+' ? +1 : -1;\n            const x: Feature = [];\n            const len: number = fields.length;\n            for (let i = 1; i < len; i += 2) {\n                let index: number = parseInt(fields[i]) - 1;\n                let value: number = parseFloat(fields[i + 1]);\n                let element = { index, value };\n                x.push(element);\n            }\n            callback(x, label);\n        });\n\n        rl.on('close', () => {\n            if (complete instanceof Function) {\n                complete();\n            }\n        });\n    }\n}\n"
  },
  {
    "path": "ml/arow/out/app.js",
    "content": "\"use strict\";\nvar arow_1 = require('./arow');\nvar data_loader_1 = require('./data_loader');\nvar featureSize = 1355191;\nvar r = 0.1;\nvar clf = new arow_1.AROW(featureSize, r);\nvar trainDataFile = 'data/news20_train';\nvar testDataFile = 'data/news20_test';\nconsole.log('asynchronous stream data read training');\ndata_loader_1.DataLoader.read(trainDataFile, function (x, label) {\n    clf.update(x, label);\n}, function () {\n    console.log('a iteration training complete.');\n    var size = 0;\n    var error = 0;\n    data_loader_1.DataLoader.read(testDataFile, function (x, label) {\n        size++;\n        var predLabel = clf.predict(x);\n        if (predLabel != label) {\n            error++;\n        }\n    }, function () {\n        console.log('error rate = ' + (error / size));\n    });\n});\nconsole.log('synchronous batch data read training');\nvar trainData = new data_loader_1.DataLoader(trainDataFile);\nvar testData = new data_loader_1.DataLoader(testDataFile);\nconsole.log('load data complete.');\nconsole.log(trainData.size, testData.size);\nvar maxIter = 5;\nfor (var i = 0; i < maxIter; i++) {\n    trainData.data.forEach(function (e) {\n        clf.update(e.x, e.label);\n    });\n    var error = 0;\n    testData.data.forEach(function (e) {\n        var predLabel = clf.predict(e.x);\n        if (predLabel != e.label) {\n            error++;\n        }\n    });\n    console.log('iteration: ' + (i + 1) + ', error rate = ' + (error / testData.size));\n}\n//# sourceMappingURL=app.js.map"
  },
  {
    "path": "ml/arow/out/arow.js",
    "content": "\"use strict\";\nvar AROW = (function () {\n    function AROW(featureSize, r) {\n        if (r === void 0) { r = 0.1; }\n        this.f = featureSize;\n        this.mean = new Float32Array(featureSize);\n        this.cov = new Float32Array(featureSize);\n        this.cov.fill(1.0);\n        this.r = r;\n    }\n    AROW.prototype.predict = function (x) {\n        return this.computeMargin(x) > 0 ? 1 : -1;\n    };\n    AROW.prototype.clear = function () {\n        this.mean = new Float32Array(this.f);\n        this.cov = new Float32Array(this.f);\n        this.cov.fill(1.0);\n    };\n    AROW.prototype.update = function (x, label) {\n        var _this = this;\n        var margin = this.computeMargin(x);\n        var loss = margin * label < 0 ? 1 : 0;\n        if (margin * label >= 1) {\n            return 0;\n        }\n        var confidence = this.computeConfidence(x);\n        var beta = 1.0 / (confidence + this.r);\n        var alpha = (1.0 - label * margin) * beta;\n        x.forEach(function (e) {\n            _this.mean[e.index] += alpha * label * _this.cov[e.index] * e.value;\n        });\n        x.forEach(function (e) {\n            _this.cov[e.index] = 1.0 / ((1.0 / _this.cov[e.index]) + e.value * e.value / _this.r);\n        });\n        return loss;\n    };\n    AROW.prototype.computeMargin = function (x) {\n        var _this = this;\n        var res = 0.0;\n        x.forEach(function (e) { return res += _this.mean[e.index] * e.value; });\n        return res;\n    };\n    AROW.prototype.computeConfidence = function (x) {\n        var _this = this;\n        var res = 0.0;\n        x.forEach(function (e) { return res += _this.cov[e.index] * e.value * e.value; });\n        return res;\n    };\n    return AROW;\n}());\nexports.AROW = AROW;\n//# sourceMappingURL=arow.js.map"
  },
  {
    "path": "ml/arow/out/data_loader.js",
    "content": "\"use strict\";\nvar fs = require('fs');\nvar readline = require('readline');\nvar DataLoader = (function () {\n    function DataLoader(filePath) {\n        this.filePath = filePath;\n        this.buffer = fs.readFileSync(this.filePath);\n        this.dataSet = [];\n        this.parse();\n    }\n    Object.defineProperty(DataLoader.prototype, \"data\", {\n        get: function () {\n            return this.dataSet;\n        },\n        enumerable: true,\n        configurable: true\n    });\n    Object.defineProperty(DataLoader.prototype, \"size\", {\n        get: function () {\n            return this.dataNum;\n        },\n        enumerable: true,\n        configurable: true\n    });\n    DataLoader.prototype.parse = function () {\n        var _this = this;\n        var lines = this.buffer.toString().split('\\n');\n        this.dataNum = lines.length - 1;\n        lines.forEach(function (line) {\n            var fields = line.split(/[\\s:]/);\n            var label = fields[0].charAt(0) == '+' ? +1 : -1;\n            var x = [];\n            var len = fields.length;\n            for (var i = 1; i < len; i += 2) {\n                var index = parseInt(fields[i]) - 1;\n                var value = parseFloat(fields[i + 1]);\n                var element = { index: index, value: value };\n                x.push(element);\n            }\n            _this.dataSet.push({ label: label, x: x });\n        });\n    };\n    DataLoader.read = function (filePath, callback, complete) {\n        if (complete === void 0) { complete = null; }\n        var options = { encoding: 'utf8', highWaterMark: 256 };\n        var stream = fs.createReadStream(filePath, options);\n        var rl = readline.createInterface(stream, null);\n        rl.on('line', function (line) {\n            var fields = line.split(/[\\s:]/);\n            var label = fields[0].charAt(0) == '+' ? +1 : -1;\n            var x = [];\n            var len = fields.length;\n            for (var i = 1; i < len; i += 2) {\n                var index = parseInt(fields[i]) - 1;\n                var value = parseFloat(fields[i + 1]);\n                var element = { index: index, value: value };\n                x.push(element);\n            }\n            callback(x, label);\n        });\n        rl.on('close', function () {\n            if (complete instanceof Function) {\n                complete();\n            }\n        });\n    };\n    return DataLoader;\n}());\nexports.DataLoader = DataLoader;\n//# sourceMappingURL=data_loader.js.map"
  },
  {
    "path": "ml/arow/out/types.js",
    "content": "\"use strict\";\n//# sourceMappingURL=types.js.map"
  },
  {
    "path": "ml/arow/types.ts",
    "content": "/**\n * Shared types across multiple machine learning components.\n */\nexport type Feature = { index: number, value: number }[];\nexport type DataSet = { label: number, x: Feature }[];"
  },
  {
    "path": "ml/autoencoder/css/app.css",
    "content": "﻿body {\n    color: #333;\n    font: 1.0em normal Consolas, sans-serif;\n}\n\nspan {\n    font-style: italic;\n}\n\npre {\r\n    color: #333;\r\n    background-color: #eee;\r\n    font-family: monospace;\r\n    padding: 4px;\r\n    overflow: auto;\r\n    white-space: pre-wrap;\r\n    word-wrap: break-word;\r\n}\n\ninput {\r\n    margin-right: 15px;\r\n}\n\ncanvas {\r\n    margin: 10px;\r\n}\n\nh1.md-toolbar-tools {\r\n    font-size: 1.5em;\r\n}\n"
  },
  {
    "path": "ml/autoencoder/index.html",
    "content": "﻿<!DOCTYPE html>\r\n<html lang=\"en\">\r\n<head>\r\n    <meta charset=\"utf-8\" />\r\n    <title>TypeScript Practice: Deep Learning</title>\r\n    <link rel=\"stylesheet\" href=\"https://ajax.googleapis.com/ajax/libs/angular_material/0.10.1/angular-material.min.css\" type=\"text/css\" />\n    <link rel=\"stylesheet\" href=\"css/app.css\" type=\"text/css\" />\n    <script src=\"http://ajax.googleapis.com/ajax/libs/angularjs/1.4.0/angular.min.js\"></script>\r\n    <script src=\"http://ajax.googleapis.com/ajax/libs/angularjs/1.4.0/angular-animate.min.js\"></script>\r\n    <script src=\"http://ajax.googleapis.com/ajax/libs/angularjs/1.4.0/angular-aria.min.js\"></script>\r\n    <script src=\"http://ajax.googleapis.com/ajax/libs/angular_material/0.10.1/angular-material.min.js\"></script>\r\n    <script src=\"all.js\"></script>\r\n</head>\r\n<body ng-app=\"Demo\" ng-controller=\"Controller\">\r\n    <header>\r\n        <md-toolbar>\r\n            <h1 class=\"md-display-4 md-toolbar-tools\">TypeScript Practice: Denoising Autoencoders</h1>\r\n            <!--\r\n            <label for=\"epoch\">epoch: </label>\r\n            <input id=\"epoch\" type=\"number\" min=\"1\" max=\"1000\" step=\"1\" ng-model=\"epoch\" />\r\n            -->\r\n            <div class=\"md-toolbar-tools\">\r\n                <label for=\"learning\">learning rate: </label>\r\n                <input id=\"learning\" type=\"number\" min=\"0.001\" max=\"0.1\" step=\"0.001\"\r\n                       ng-model=\"learningRate\" ng-disabled=\"running\"/>\r\n                <label for=\"corrupted\">corrupted rate: </label>\r\n                <input id=\"corrupted\" type=\"number\" min=\"0.1\" max=\"0.9\" step=\"0.1\"\r\n                       ng-model=\"corruptedRate\" ng-disabled=\"running\" />\r\n                <md-button class=\"md-raised\" ng-click=\"train()\" ng-model=\"running\">{{buttonText}}</md-button>\r\n                <md-button class=\"md-raised\" ng-click=\"loadModel()\" ng-disabled=\"running\">load model</md-button>\r\n                <md-button class=\"md-raised\" ng-click=\"saveModel()\" ng-disabled=\"running\">save model</md-button>\r\n                <md-button class=\"md-raised\" ng-click=\"deleteModel()\" ng-disabled=\"running\">delete model</md-button>\r\n            </div>\r\n        </md-toolbar>\r\n    </header>\r\n    <md-content layout-padding>\r\n        <div layout=\"row\" layout-margin>\r\n            <div flex=\"20\" flex-order=\"1\">\r\n                <h2 class=\"md-headline\">training data</h2>\r\n                <pre>{{trainData.toString()}}</pre>\r\n            </div>\r\n            <div flex=\"\" flex-order=\"2\">\r\n                <h2 class=\"md-headline\">test data</h2>\r\n                <pre>{{testData.toString()}}</pre>\r\n                <h2 class=\"md-headline\">reconstructed data</h2>\r\n                <pre>{{reconstructed.toString(true)}}</pre>\r\n            </div>\r\n            <div flex=\"\" flex-order=\"3\">\r\n                <h2 class=\"md-headline\">info</h2>\r\n                <span>{{info}}</span>\r\n                <h2 class=\"md-headline\">epoch</h2>\r\n                <span>{{trainCount*epoch}}</span>\r\n                <h2 class=\"md-headline\">error rate</h2>\r\n                <span>{{errorRate}}%</span>\r\n                <div><canvas id=\"canvas\" width=\"500\" height=\"300\"></canvas></div>\r\n                <h2 class=\"md-headline\">cost (cross entropy)</h2>\r\n                <span>{{cost}}</span>\r\n            </div>\r\n        </div>\r\n    </md-content>\r\n</body>\r\n</html>\r\n"
  },
  {
    "path": "ml/autoencoder/out/da.js",
    "content": "/**\r\n * Denoising Autoencoders class\r\n * author @wellflat\r\n */\r\nvar ml;\r\n(function (ml) {\r\n    var DenoisingAutoencoders = (function () {\r\n        function DenoisingAutoencoders(input, nVisible, nHidden, W, vBias, hBias, timestamp) {\r\n            if (W === void 0) { W = ml.Matrix.rand(nVisible, nHidden); }\r\n            if (vBias === void 0) { vBias = ml.Vector.zeros(nVisible); }\r\n            if (hBias === void 0) { hBias = ml.Vector.zeros(nHidden); }\r\n            if (timestamp === void 0) { timestamp = new Date().getTime(); }\r\n            this.input = input;\r\n            this.nVisible = nVisible;\r\n            this.nHidden = nHidden;\r\n            this.W = W;\r\n            this.vBias = vBias;\r\n            this.hBias = hBias;\r\n            this.timestamp = timestamp;\r\n            // initializer\r\n        }\r\n        Object.defineProperty(DenoisingAutoencoders.prototype, \"weights\", {\r\n            // accessors\r\n            get: function () { return this.W; },\r\n            set: function (w) { this.W = w; },\r\n            enumerable: true,\r\n            configurable: true\r\n        });\r\n        Object.defineProperty(DenoisingAutoencoders.prototype, \"vbias\", {\r\n            get: function () { return this.vBias; },\r\n            set: function (b) { this.vBias = b; },\r\n            enumerable: true,\r\n            configurable: true\r\n        });\r\n        Object.defineProperty(DenoisingAutoencoders.prototype, \"hbias\", {\r\n            get: function () { return this.hBias; },\r\n            set: function (b) { this.hBias = b; },\r\n            enumerable: true,\r\n            configurable: true\r\n        });\r\n        Object.defineProperty(DenoisingAutoencoders.prototype, \"data\", {\r\n            get: function () { return this.input; },\r\n            set: function (input) { this.input = input; },\r\n            enumerable: true,\r\n            configurable: true\r\n        });\r\n        Object.defineProperty(DenoisingAutoencoders.prototype, \"time\", {\r\n            get: function () { return this.timestamp; },\r\n            enumerable: true,\r\n            configurable: true\r\n        });\r\n        /**\r\n         * computes the cost and the updates for one training step of the dA\r\n         */\r\n        DenoisingAutoencoders.prototype.train = function (learningRate, corruptionLevel) {\r\n            var x = this.input, tildeX = this.getCorruptedInput(x, corruptionLevel), y = this.getHiddenValues(tildeX), z = this.getReconstructedInput(y), Lvbias = x.subtract(z), Lhbias = null, LW = null, sigma = Lvbias.dot(this.W), data = [], rows = sigma.rows, cols = sigma.cols;\r\n            for (var i = 0; i < rows; i++) {\r\n                data[i] = [];\r\n                for (var j = 0; j < cols; j++) {\r\n                    data[i][j] = sigma.at(i + 1, j + 1) * y.at(i + 1, j + 1) * (1 - y.at(i + 1, j + 1));\r\n                }\r\n            }\r\n            Lhbias = new ml.Matrix(data);\r\n            LW = tildeX.transpose().dot(Lhbias).add(Lvbias.transpose().dot(y));\r\n            this.W = this.W.add(LW.multiply(learningRate));\r\n            this.hBias = this.hBias.add(Lhbias.mean().multiply(learningRate));\r\n            this.vBias = this.vBias.add(Lvbias.mean().multiply(learningRate));\r\n        };\r\n        DenoisingAutoencoders.prototype.reconstruct = function (matrix) {\r\n            if (matrix.cols !== this.input.cols) {\r\n                throw new Error(\"invalid vector size\");\r\n            }\r\n            return this.getReconstructedInput(this.getHiddenValues(matrix));\r\n        };\r\n        // computes the cost (cross entropy)\r\n        DenoisingAutoencoders.prototype.getCost = function (corruptionLevel) {\r\n            var tildeX = this.getCorruptedInput(this.input, corruptionLevel), y = this.getHiddenValues(tildeX), z = this.getReconstructedInput(y), rows = this.input.rows, cols = this.input.cols, xs = ml.Matrix.ones(rows, cols).subtract(this.input), logzs = ml.Matrix.ones(rows, cols).subtract(z).log(), xlogz = this.input.multiply(z.log()), xslogzs = xs.multiply(logzs), cost = xlogz.add(xslogzs).sum(1).mean();\r\n            return -cost;\r\n        };\r\n        /* uses timestamp when store model in IndexedDB */\r\n        DenoisingAutoencoders.prototype.updateTimestamp = function () {\r\n            this.timestamp = new Date().getTime();\r\n        };\r\n        /* converts object to model */\r\n        DenoisingAutoencoders.prototype.convertModel = function (value) {\r\n            var input = new ml.Matrix(value.input.elements), W = new ml.Matrix(value.W.elements), vBias = new ml.Vector(value.vBias.elements), hBias = new ml.Vector(value.hBias.elements), net = new ml.DenoisingAutoencoders(input, value.nVisible, value.nHidden, W, vBias, hBias), date = new Date(value.timestamp);\r\n            return [net, date];\r\n        };\r\n        DenoisingAutoencoders.prototype.getCorruptedInput = function (input, corruptionLevel) {\r\n            if (corruptionLevel > 1.0) {\r\n                throw new Error(\"corruptionLevel lower than 1.0\");\r\n            }\r\n            var corrupted = [], rows = input.rows, cols = input.cols, bernoulli = function (p) { return Math.random() <= p ? 1 : 0; };\r\n            for (var i = 0; i < rows; i++) {\r\n                corrupted.push([]);\r\n                for (var j = 0; j < cols; j++) {\r\n                    corrupted[i].push(bernoulli(1 - corruptionLevel) * input.at(i + 1, j + 1));\r\n                }\r\n            }\r\n            return new ml.Matrix(corrupted);\r\n        };\r\n        // encode: y = s(Wx + b)\r\n        DenoisingAutoencoders.prototype.getHiddenValues = function (input) {\r\n            var weighted = input.dot(this.W);\r\n            var s = function (x) { return 1.0 / (1 + Math.exp(-x)); };\r\n            return weighted.addBias(this.hBias).map(s);\r\n        };\r\n        // decode: z = s(W'y + b')\r\n        DenoisingAutoencoders.prototype.getReconstructedInput = function (hidden) {\r\n            var weighted = hidden.dot(this.W.transpose());\r\n            var s = function (x) { return 1.0 / (1 + Math.exp(-x)); };\r\n            return weighted.addBias(this.vBias).map(s);\r\n        };\r\n        DenoisingAutoencoders.prototype.binomial = function (n, p) {\r\n            var x = 0, bernoulli = function (p) { return Math.random() <= p ? 1 : 0; };\r\n            for (var i = 0; i < n; i++) {\r\n                x += bernoulli(p);\r\n            }\r\n            return x;\r\n        };\r\n        return DenoisingAutoencoders;\r\n    })();\r\n    ml.DenoisingAutoencoders = DenoisingAutoencoders;\r\n})(ml || (ml = {}));\r\n//# sourceMappingURL=da.js.map"
  },
  {
    "path": "ml/autoencoder/out/matrix.js",
    "content": "var ml;\r\n(function (ml) {\r\n    /**\r\n     * Matrix class\r\n     * author @wellflat\r\n     */\r\n    var Matrix = (function () {\r\n        function Matrix(elements) {\r\n            this.setElements(elements);\r\n        }\r\n        Object.defineProperty(Matrix.prototype, \"shape\", {\r\n            // accessors\r\n            get: function () {\r\n                var cols = (this.elements.length === 0) ? 0 : this.elements[0].length;\r\n                return [this.elements.length, cols];\r\n            },\r\n            enumerable: true,\r\n            configurable: true\r\n        });\r\n        Object.defineProperty(Matrix.prototype, \"rows\", {\r\n            get: function () { return this.elements.length; },\r\n            enumerable: true,\r\n            configurable: true\r\n        });\r\n        Object.defineProperty(Matrix.prototype, \"cols\", {\r\n            get: function () { return this.elements[0].length; },\r\n            enumerable: true,\r\n            configurable: true\r\n        });\r\n        Matrix.rand = function (n, m, round) {\r\n            if (round === void 0) { round = false; }\r\n            if (round) {\r\n                return Matrix.zeros(n, m).map(Math.random).map(Math.round);\r\n            }\r\n            else {\r\n                return Matrix.zeros(n, m).map(Math.random);\r\n            }\r\n        };\r\n        Matrix.zeros = function (n, m) {\r\n            var elements = [], i = n, j = m;\r\n            while (i--) {\r\n                j = m;\r\n                elements[i] = [];\r\n                while (j--) {\r\n                    elements[i][j] = 0;\r\n                }\r\n            }\r\n            return new Matrix(elements);\r\n        };\r\n        Matrix.ones = function (n, m) {\r\n            var elements = [], i = n, j = m;\r\n            while (i--) {\r\n                j = m;\r\n                elements[i] = [];\r\n                while (j--) {\r\n                    elements[i][j] = 1;\r\n                }\r\n            }\r\n            return new Matrix(elements);\r\n        };\r\n        Matrix.prototype.row = function (i) {\r\n            if (i <= 0 || i > this.elements.length) {\r\n                throw new RangeError(\"index range error\");\r\n            }\r\n            return ml.Vector.create(this.elements[i - 1]);\r\n        };\r\n        Matrix.prototype.col = function (j) {\r\n            if (this.elements.length === 0 ||\r\n                j <= 0 || j > this.elements[0].length) {\r\n                throw new RangeError(\"index range error\");\r\n            }\r\n            var col = [], n = this.elements.length;\r\n            for (var i = 0; i < n; i++) {\r\n                col[i] = this.elements[i][j - 1];\r\n            }\r\n            return ml.Vector.create(col);\r\n        };\r\n        Matrix.prototype.at = function (i, j) {\r\n            /*\r\n            if(i < 1 || i > this.elements.length || j < 1 || j > this.elements[0].length) {\r\n                throw new RangeError(\"index range error\");\r\n            }*/\r\n            return this.elements[i - 1][j - 1];\r\n        };\r\n        Matrix.prototype.add = function (matrix) {\r\n            if (!this.isSameSizeAs(matrix)) {\r\n                throw new Error(\"invalid matrix shape\");\r\n            }\r\n            return this.map(function (x, i, j) { return x + matrix.elements[i - 1][j - 1]; });\r\n        };\r\n        Matrix.prototype.subtract = function (matrix) {\r\n            if (!this.isSameSizeAs(matrix)) {\r\n                throw new Error(\"invalid matrix shape\");\r\n            }\r\n            return this.map(function (x, i, j) { return x - matrix.elements[i - 1][j - 1]; });\r\n        };\r\n        Matrix.prototype.isSameSizeAs = function (matrix) {\r\n            return (this.elements.length === matrix.elements.length &&\r\n                this.elements[0].length === matrix.elements[0].length);\r\n        };\r\n        Matrix.prototype.multiply = function (matrix) {\r\n            //public multiply(matrix): Matrix {\r\n            if (typeof matrix === \"number\") {\r\n                return this.map(function (x) { return x * matrix; });\r\n            }\r\n            else {\r\n                var mat = matrix.elements, i = this.elements.length, j = 0, nj = mat[0].length, elements = [];\r\n                while (i--) {\r\n                    j = nj;\r\n                    elements[i] = [];\r\n                    while (j--) {\r\n                        elements[i][j] = this.elements[i][j] * mat[i][j];\r\n                    }\r\n                }\r\n                return new Matrix(elements);\r\n            }\r\n        };\r\n        Matrix.prototype.dot = function (matrix) {\r\n            // can multiply from left\r\n            if (this.elements[0].length !== matrix.elements.length) {\r\n                throw new Error(\"invalid matrix shape\");\r\n            }\r\n            var mat = matrix.elements, i = this.elements.length, j = 0, nj = mat[0].length, cols = this.elements[0].length, c = 0, elements = [], sum = 0;\r\n            while (i--) {\r\n                j = nj;\r\n                elements[i] = [];\r\n                while (j--) {\r\n                    c = cols;\r\n                    sum = 0;\r\n                    while (c--) {\r\n                        sum += this.elements[i][c] * mat[c][j];\r\n                    }\r\n                    elements[i][j] = sum;\r\n                }\r\n            }\r\n            return new Matrix(elements);\r\n        };\r\n        Matrix.prototype.transpose = function () {\r\n            var rows = this.elements.length, cols = this.elements[0].length, i = cols, j = rows, elements = [];\r\n            while (i--) {\r\n                j = rows;\r\n                elements[i] = [];\r\n                while (j--) {\r\n                    elements[i][j] = this.elements[j][i];\r\n                }\r\n            }\r\n            return new Matrix(elements);\r\n        };\r\n        Matrix.prototype.addBias = function (bias) {\r\n            if (bias.size !== this.elements[0].length) {\r\n                throw new Error(\"invalid vector size\");\r\n            }\r\n            var elements = [], rows = this.elements.length, cols = this.elements[0].length;\r\n            for (var i = 0; i < rows; i++) {\r\n                elements[i] = [];\r\n                for (var j = 0; j < cols; j++) {\r\n                    elements[i][j] = this.elements[i][j] + bias.at(j + 1);\r\n                }\r\n            }\r\n            return new Matrix(elements);\r\n        };\r\n        Matrix.prototype.sum = function (axis) {\r\n            if (axis === void 0) { axis = 0; }\r\n            var sums = [], rows = this.elements.length, cols = this.elements[0].length;\r\n            if (axis == 0) {\r\n                for (var i = 0; i < cols; i++) {\r\n                    sums[i] = 0;\r\n                }\r\n                for (var i = 0; i < rows; i++) {\r\n                    for (var j = 0; j < cols; j++) {\r\n                        sums[j] += this.elements[i][j];\r\n                    }\r\n                }\r\n                return ml.Vector.create(sums);\r\n            }\r\n            else if (axis == 1) {\r\n                for (var i = 0; i < rows; i++) {\r\n                    sums[i] = 0;\r\n                }\r\n                for (var i = 0; i < rows; i++) {\r\n                    for (var j = 0; j < cols; j++) {\r\n                        sums[i] += this.elements[i][j];\r\n                    }\r\n                }\r\n                return ml.Vector.create(sums);\r\n            }\r\n        };\r\n        Matrix.prototype.mean = function (axis) {\r\n            if (axis === void 0) { axis = 0; }\r\n            var sums = [], rows = this.elements.length, cols = this.elements[0].length;\r\n            if (axis == 0) {\r\n                for (var i = 0; i < cols; i++) {\r\n                    sums[i] = 0;\r\n                }\r\n                for (var i = 0; i < rows; i++) {\r\n                    for (var j = 0; j < cols; j++) {\r\n                        sums[j] += this.elements[i][j];\r\n                    }\r\n                }\r\n                return ml.Vector.create(sums).multiply(1.0 / rows);\r\n            }\r\n            else if (axis == 1) {\r\n                for (var i = 0; i < rows; i++) {\r\n                    sums[i] = 0;\r\n                }\r\n                for (var i = 0; i < rows; i++) {\r\n                    for (var j = 0; j < cols; j++) {\r\n                        sums[i] += this.elements[i][j];\r\n                    }\r\n                }\r\n                return ml.Vector.create(sums).multiply(1.0 / cols);\r\n            }\r\n        };\r\n        Matrix.prototype.max = function () {\r\n            var row = this.elements.length, max = 0.0, tmp = 0;\r\n            for (var i = 0; i < row; i++) {\r\n                tmp = Math.max.apply(null, this.elements[i]);\r\n                if (max < tmp) {\r\n                    max = tmp;\r\n                }\r\n            }\r\n            return max;\r\n        };\r\n        Matrix.prototype.min = function () {\r\n            var row = this.elements.length, min = Number.MAX_VALUE, tmp = 0;\r\n            for (var i = 0; i < row; i++) {\r\n                tmp = Math.min.apply(null, this.elements[i]);\r\n                if (min > tmp) {\r\n                    min = tmp;\r\n                }\r\n            }\r\n            return min;\r\n        };\r\n        Matrix.prototype.log = function () {\r\n            return this.map(function (x) { return Math.log(x); });\r\n        };\r\n        Matrix.prototype.map = function (fn) {\r\n            var elements = [], i = this.elements.length, nj = this.elements[0].length, j = nj;\r\n            while (i--) {\r\n                j = nj;\r\n                elements[i] = [];\r\n                while (j--) {\r\n                    elements[i][j] = fn.call(this, this.elements[i][j], i + 1, j + 1);\r\n                }\r\n            }\r\n            return new Matrix(elements);\r\n        };\r\n        Matrix.prototype.toString = function (round) {\r\n            if (round === void 0) { round = false; }\r\n            var rows = [], elements = null, n = this.elements.length;\r\n            for (var i = 0; i < n; i++) {\r\n                if (round) {\r\n                    elements = this.elements[i].map(function (x) { return Math.round(x * 1000) / 1000; });\r\n                    rows[i] = ml.Vector.create(elements).toString();\r\n                }\r\n                else {\r\n                    rows[i] = ml.Vector.create(this.elements[i]).toString();\r\n                }\r\n            }\r\n            return rows.join(\"\\n\");\r\n        };\r\n        Matrix.prototype.setElements = function (elements) {\r\n            var i = 0, j = 0;\r\n            if (elements[0] && typeof elements[0][0] !== undefined) {\r\n                i = elements.length;\r\n                this.elements = [];\r\n                while (i--) {\r\n                    j = elements[i].length;\r\n                    this.elements[i] = [];\r\n                    while (j--) {\r\n                        this.elements[i][j] = elements[i][j];\r\n                    }\r\n                }\r\n            }\r\n        };\r\n        return Matrix;\r\n    })();\r\n    ml.Matrix = Matrix;\r\n})(ml || (ml = {}));\r\n//# sourceMappingURL=matrix.js.map"
  },
  {
    "path": "ml/autoencoder/out/vector.js",
    "content": "var ml;\r\n(function (ml) {\r\n    /**\r\n     * Vector class\r\n     */\r\n    var Vector = (function () {\r\n        function Vector(elements) {\r\n            this.elements = elements;\r\n        }\r\n        Object.defineProperty(Vector.prototype, \"size\", {\r\n            get: function () { return this.elements.length; },\r\n            enumerable: true,\r\n            configurable: true\r\n        });\r\n        Vector.create = function (elements) {\r\n            return new Vector(elements.slice());\r\n        };\r\n        Vector.rand = function (n) {\r\n            var elements = [];\r\n            while (n--) {\r\n                elements.push(Math.random());\r\n            }\r\n            return Vector.create(elements);\r\n        };\r\n        Vector.zeros = function (n) {\r\n            var elements = [];\r\n            while (n--) {\r\n                elements.push(0);\r\n            }\r\n            return Vector.create(elements);\r\n        };\r\n        Vector.arange = function (n) {\r\n            var elements = [];\r\n            for (var i = 0; i < n; i++) {\r\n                elements[i] = i;\r\n            }\r\n            return Vector.create(elements);\r\n        };\r\n        Vector.prototype.clone = function () {\r\n            return Vector.create(this.elements);\r\n        };\r\n        Vector.prototype.at = function (i) {\r\n            //return (i < 1 || i > this.elements.length) ? null : this.elements[i - 1];\r\n            return this.elements[i - 1];\r\n        };\r\n        Vector.prototype.add = function (vector) {\r\n            var v = vector.elements;\r\n            if (this.elements.length !== v.length) {\r\n                return null;\r\n            }\r\n            return this.map(function (x, i) { return x + v[i - 1]; });\r\n        };\r\n        Vector.prototype.subtract = function (vector) {\r\n            var v = vector.elements;\r\n            if (this.elements.length !== v.length) {\r\n                return null;\r\n            }\r\n            return this.map(function (x, i) { return x - v[i - 1]; });\r\n        };\r\n        Vector.prototype.multiply = function (k) {\r\n            return this.map(function (x) { return x * k; });\r\n        };\r\n        Vector.prototype.dot = function (vector) {\r\n            var v = vector.elements, product = 0, n = this.elements.length;\r\n            if (n !== v.length) {\r\n                return null;\r\n            }\r\n            while (n--) {\r\n                product += this.elements[n] * v[n];\r\n            }\r\n            return product;\r\n        };\r\n        Vector.prototype.cross = function (vector) {\r\n            var b = vector.elements;\r\n            if (this.elements.length !== 3 || b.length !== 3) {\r\n                return null;\r\n            }\r\n            var a = this.elements;\r\n            return Vector.create([\r\n                (a[1] * b[2]) - (a[2] * b[1]),\r\n                (a[2] * b[0]) - (a[0] * b[2]),\r\n                (a[0] * b[1]) - (a[1] * b[0])\r\n            ]);\r\n        };\r\n        Vector.prototype.mean = function () {\r\n            var l = this.elements.length;\r\n            var sum = 0.0;\r\n            for (var i = 0; i < l; i++) {\r\n                sum += this.elements[i];\r\n            }\r\n            return sum / l;\r\n        };\r\n        Vector.prototype.toString = function () {\r\n            return \"[\" + this.elements.join(\", \") + \"]\";\r\n        };\r\n        Vector.prototype.map = function (fn) {\r\n            var _this = this;\r\n            var elements = [];\r\n            this.forEach(function (x, i) { return elements.push(fn.call(_this, x, i)); });\r\n            return Vector.create(elements);\r\n        };\r\n        Vector.prototype.forEach = function (fn) {\r\n            var n = this.elements.length;\r\n            for (var i = 0; i < n; i++) {\r\n                fn.call(this, this.elements[i], i + 1);\r\n            }\r\n        };\r\n        return Vector;\r\n    })();\r\n    ml.Vector = Vector;\r\n})(ml || (ml = {}));\r\n//# sourceMappingURL=vector.js.map"
  },
  {
    "path": "ml/autoencoder/packages.config",
    "content": "﻿<?xml version=\"1.0\" encoding=\"utf-8\"?>\r\n<packages>\r\n  <package id=\"angularjs.TypeScript.DefinitelyTyped\" version=\"4.0.4\" targetFramework=\"net45\" />\r\n  <package id=\"jquery.TypeScript.DefinitelyTyped\" version=\"2.2.6\" targetFramework=\"net45\" />\r\n</packages>"
  },
  {
    "path": "ml/autoencoder/spec/Chutzpah.json",
    "content": "{\r\n    \"Framework\": \"jasmine\",\r\n \r\n    \"TestHarnessLocationMode\": \"TestFileAdjacent\",     \r\n \r\n    \"TypeScriptCodeGenTarget\" : \"ES5\",\r\n \r\n    \"RootReferencePathMode\":\"SettingsFileDirectory\"\r\n}"
  },
  {
    "path": "ml/autoencoder/spec/Tests/da_test.ts",
    "content": "/// <reference path=\"../scripts/typings/jasmine/jasmine.d.ts\" />\r\n/// <reference path=\"../../deeplearning/scripts/vector.ts\" />\r\n/// <reference path=\"../../deeplearning/scripts/matrix.ts\" />\r\n/// <reference path=\"../../deeplearning/scripts/da.ts\" />\r\n\r\n\r\ndescribe(\"DenoisingAutoEncoder\",() => {\r\n    var da: ml.DenoisingAutoencoders,\r\n        m1: ml.Matrix, m2: ml.Matrix, m3: ml.Matrix;\r\n\r\n    beforeEach(() => {\r\n        m1 = new ml.Matrix([\n            [1, 1, 1, 1, 1, 0, 0, 0, 0, 0],\n            [1, 0, 1, 1, 0, 0, 0, 1, 0, 0],\n            [1, 1, 0, 1, 1, 0, 0, 0, 1, 0],\n            [0, 1, 1, 1, 1, 1, 0, 0, 0, 0],\n            [1, 1, 0, 1, 0, 1, 0, 0, 0, 1],\n        ]);\n        m2 = new ml.Matrix([\n            [1, 1, 1, 1, 1, 0, 0, 0, 0, 0],\n            [0, 0, 1, 1, 0, 0, 0, 0, 1, 1],\n        ]);\r\n        m3 = new ml.Matrix([[1], [2, 3], [4, 5, 6]]);\r\n    });\r\n\r\n    it(\"can create\",() => {\r\n        da = new ml.DenoisingAutoencoders(m1, 10, 5);\r\n        expect(da.weights.shape).toEqual([10, 5]);\r\n        expect(da.vbias.size).toBe(10);\r\n        expect(da.hbias.size).toBe(5);\r\n        expect(da.data).toEqual(m1);\r\n    });\r\n\r\n    it(\"can train\",() => {\r\n        da.data = m1;\r\n        da.train(0.001, 0.3);\r\n        expect(da.data).toEqual(m1);\r\n        expect(() => da.train(0.001, 1.1)).toThrowError();\r\n    });\r\n\r\n    it(\"can reconstruct\",() => {\r\n        var m: ml.Matrix = da.reconstruct(m2);\r\n        expect(m.shape).toEqual([2, 10]);\r\n        expect(() => da.reconstruct(m3)).toThrowError();\r\n    });\r\n});\r\n"
  },
  {
    "path": "ml/autoencoder/spec/Tests/matrix_t_test.ts",
    "content": "﻿/// <reference path=\"../scripts/typings/jasmine/jasmine.d.ts\" />\r\n/// <reference path=\"../../deeplearning/scripts/vector_t.ts\" />\r\n/// <reference path=\"../../deeplearning/scripts/matrix_t.ts\" />\r\n\r\ndescribe(\"Matrix\", () => {\r\n    var d1: number[][] = [[1, 2], [0, -1], [5, 1]];\n    var d2: number[][] = [[1, -2, 4, 0], [0, -1, 2, 3]];\n    var d3: number[][] = [[1, 2, 3], [4, 5, 6], [7, 8, 9]];\n    var d4: number[][] = [[3, 2, 1], [6, 5, 4], [9, 8, 7]];\n    var m1: ml.MatrixT, m2: ml.MatrixT, m3: ml.MatrixT, m4: ml.MatrixT, m5: ml.MatrixT;\r\n    beforeEach(() => {\r\n        m1 = new ml.MatrixT(d1);\n        m2 = new ml.MatrixT(d2);\n        m3 = new ml.MatrixT(d3)\n        m4 = new ml.MatrixT(d4);\r\n        m5 = new ml.MatrixT([[]]);\r\n    });\r\n\r\n    it(\"can create\", () => {\r\n        expect(m1.rows).toBe(3);\r\n        expect(m1.cols).toBe(2);\r\n        expect(m1.shape).toEqual([3, 2]);\r\n        expect(m5.cols).toBe(0);\r\n    });\r\n\r\n    it(\"can rand\", () => {\r\n        var m: ml.MatrixT = ml.MatrixT.rand(2, 4);\r\n        expect(m.shape).toEqual([2, 4]);\r\n        m.map(n => expect(n).toBeGreaterThan(0.0));\r\n        m.map(n => expect(n).toBeLessThan(1.0));\r\n    });\r\n\r\n    it(\"can zeros\", () => {\r\n        var m: ml.MatrixT = ml.MatrixT.zeros(5, 10);\r\n        expect(m.shape).toEqual([5, 10]);\r\n        m.map(n => expect(n).toBe(0));\r\n    });\r\n\r\n    it(\"can row\", () => {\r\n        var v: ml.VectorT = new ml.VectorT([1, 2]);\r\n        expect(m1.row(1)).toEqual(v);\r\n        expect(() => m1.row(0)).toThrowError();\r\n        expect(() => m1.row(10)).toThrowError();\r\n    });\r\n\r\n    it(\"can col\", () => {\r\n        var v: ml.VectorT = new ml.VectorT([1, 0, 5]);\r\n        expect(m1.col(1)).toEqual(v);\r\n        expect(() => m1.col(0)).toThrowError();\r\n        expect(() => m1.col(10)).toThrowError();\r\n    });\r\n\r\n    it(\"can at\", () => {\r\n        expect(m4.at(1, 1)).toBe(3);\r\n        expect(m4.at(2, 2)).toBe(5);\r\n        expect(m4.at(3, 3)).toBe(7);\r\n        expect(() => m1.at(0, 1)).toThrowError();\r\n        expect(() => m1.at(1, 0)).toThrowError();\r\n        expect(() => m1.at(10, 0)).toThrowError();\r\n        expect(() => m1.at(0, 10)).toThrowError();\r\n    });\r\n\r\n    it(\"can add\", () => {\r\n        var m: ml.MatrixT = new ml.MatrixT([[4, 4, 4], [10, 10, 10], [16, 16, 16]]);\r\n        expect(m3.add(m4)).toEqual(m);\r\n        expect(() => m1.add(m2)).toThrowError();\r\n    });\r\n\r\n    it(\"can subtruct\", () => {\r\n        var m: ml.MatrixT = new ml.MatrixT([[-2, 0, 2], [-2, 0, 2], [-2, 0, 2]]);\r\n        expect(m3.subtract(m4)).toEqual(m);\r\n        expect(() => m1.subtract(m2)).toThrowError();\r\n    });\r\n\r\n    it(\"can multiply\", () => {\r\n        var m: ml.MatrixT = m1.multiply(3);\r\n        var t1: ml.MatrixT = new ml.MatrixT([[3, 6], [0, -3], [15, 3]]);\r\n        var t2: ml.MatrixT = new ml.MatrixT([[3, 12], [0, 3], [75, 3]]);\r\n        expect(m.shape).toEqual([3, 2]);\r\n        expect(m).toEqual(t1);\r\n        var mxt1: ml.MatrixT = m1.multiply(t1);\r\n        expect(mxt1.shape).toEqual([3, 2]);\r\n        expect(mxt1).toEqual(t2);\r\n        expect(() => m1.multiply(m2)).toThrowError(); // TypeError\r\n    });\r\n\r\n    it(\"can dot\", () => {\r\n        var m: ml.MatrixT = m1.dot(m2);\r\n        var t1: ml.MatrixT = new ml.MatrixT([[1, -4, 8, 6], [0, 1, -2, -3], [5, -11, 22, 3]]);\r\n        var t2: ml.MatrixT = new ml.MatrixT([[3, 6], [0, -3], [15, 3]]);\r\n        expect(m.shape).toEqual([3, 4]);\r\n        expect(m).toEqual(t1);\r\n        expect(m1.dot(3)).toEqual(t2);\r\n        expect(() => m1.dot(m3)).toThrowError();\r\n    });\r\n\r\n    it(\"can transpose\", () => {\r\n        var m: ml.MatrixT = new ml.MatrixT([[1, 4, 7], [2, 5, 8], [3, 6, 9]]);\r\n        expect(m3.transpose()).toEqual(m);\r\n    });\r\n\r\n    it(\"can addBias\", () => {\r\n        var b: ml.VectorT = new ml.VectorT([1, 2, 3]);\r\n        var m: ml.MatrixT = new ml.MatrixT([[2, 4, 6], [5, 7, 9], [8, 10, 12]]);\r\n        expect(m3.addBias(b)).toEqual(m);\r\n        expect(() => m1.addBias(b)).toThrowError();\r\n    });\r\n\r\n    it(\"can mean\", () => {\r\n        var m2mean: ml.VectorT = new ml.VectorT([0.5, -1.5, 3, 1.5]);\r\n        var m2mean1: ml.VectorT = new ml.VectorT([0.75, 1]);\r\n        var m3mean: ml.VectorT = new ml.VectorT([4, 5, 6]);\r\n        var m3mean1: ml.VectorT = new ml.VectorT([2, 5, 8]);\r\n        expect(m2.mean()).toEqual(m2mean);\r\n        expect(m3.mean()).toEqual(m3mean);\r\n        expect(m2.mean(1)).toEqual(m2mean1);\r\n        expect(m3.mean(1)).toEqual(m3mean1);\r\n    });\r\n\r\n    it(\"can map\", () => {\r\n        var m3x2: ml.MatrixT = m3.map((x: number): number => {\r\n            return x * 2;\r\n        });\r\n        var m: ml.MatrixT = new ml.MatrixT([[2, 4, 6], [8, 10, 12], [14, 16, 18]]);\r\n        expect(m3x2).toEqual(m);\r\n    });\r\n\r\n    it(\"can toString\", () => {\r\n        expect(m1.toString()).toBe(\"[1, 2]\\n[0, -1]\\n[5, 1]\");\r\n        expect(m2.toString(true)).toBe(\"[1, -2, 4, 0]\\n[0, -1, 2, 3]\");\r\n    });\r\n});"
  },
  {
    "path": "ml/autoencoder/spec/Tests/matrix_test.ts",
    "content": "﻿/// <reference path=\"../scripts/typings/jasmine/jasmine.d.ts\" />\r\n/// <reference path=\"../../deeplearning/scripts/vector.ts\" />\r\n/// <reference path=\"../../deeplearning/scripts/matrix.ts\" />\r\n\r\ndescribe(\"Matrix\",() => {\r\n    var d1: number[][] = [[1, 2], [0, -1], [5, 1]];\n    var d2: number[][] = [[1, -2, 4, 0], [0, -1, 2, 3]];\n    var d3: number[][] = [[1, 2, 3], [4, 5, 6], [7, 8, 9]];\n    var d4: number[][] = [[3, 2, 1], [6, 5, 4], [9, 8, 7]];\n    var m1: ml.Matrix, m2: ml.Matrix, m3: ml.Matrix, m4: ml.Matrix, m5: ml.Matrix;\r\n    beforeEach(() => {\r\n        m1 = new ml.Matrix(d1);\n        m2 = new ml.Matrix(d2);\n        m3 = new ml.Matrix(d3);\n        m4 = new ml.Matrix(d4);\r\n        m5 = new ml.Matrix([[]]);\r\n    });\r\n\r\n    it(\"can create\",() => {\r\n        expect(m1.rows).toBe(3);\r\n        expect(m1.cols).toBe(2);\r\n        expect(m1.shape).toEqual([3, 2]);\r\n        expect(m5.cols).toBe(0);\r\n    });\r\n\r\n    it(\"can rand\",() => {\r\n        var m: ml.Matrix = ml.Matrix.rand(2, 4);\r\n        expect(m.shape).toEqual([2, 4]);\r\n        m.map(n => expect(n).toBeGreaterThan(0.0));\r\n        m.map(n => expect(n).toBeLessThan(1.0));\r\n    });\r\n\r\n    it(\"can zeros\",() => {\r\n        var m: ml.Matrix = ml.Matrix.zeros(5, 10);\r\n        expect(m.shape).toEqual([5, 10]);\r\n        m.map(n => expect(n).toBe(0));\r\n    });\r\n\r\n    it(\"can ones\", () => {\r\n        var m: ml.Matrix = ml.Matrix.ones(5, 10);\r\n        expect(m.shape).toEqual([5, 10]);\r\n        m.map(n => expect(n).toBe(1.0));\r\n    });\r\n\r\n    it(\"can row\",() => {\r\n        var v: ml.Vector = new ml.Vector([1, 2]);\r\n        expect(m1.row(1)).toEqual(v);\r\n        expect(() => m1.row(0)).toThrowError();\r\n        expect(() => m1.row(10)).toThrowError();\r\n    });\r\n\r\n    it(\"can col\",() => {\r\n        var v: ml.Vector = new ml.Vector([1, 0, 5]);\r\n        expect(m1.col(1)).toEqual(v);\r\n        expect(() => m1.col(0)).toThrowError();\r\n        expect(() => m1.col(10)).toThrowError();\r\n    });\r\n\r\n    it(\"can at\",() => {\r\n        expect(m4.at(1, 1)).toBe(3);\r\n        expect(m4.at(2, 2)).toBe(5);\r\n        expect(m4.at(3, 3)).toBe(7);\r\n        //expect(() => m1.at(0, 1)).toThrowError();\r\n        //expect(() => m1.at(1, 0)).toThrowError();\r\n        //expect(() => m1.at(10, 0)).toThrowError();\r\n        //expect(() => m1.at(0, 10)).toThrowError();\r\n    });\r\n\r\n    it(\"can add\",() => {\r\n        var m: ml.Matrix = new ml.Matrix([[4, 4, 4], [10, 10, 10], [16, 16, 16]]);\r\n        expect(m3.add(m4)).toEqual(m);\r\n        expect(() => m1.add(m2)).toThrowError();\r\n    });\r\n\r\n    it(\"can subtruct\",() => {\r\n        var m: ml.Matrix = new ml.Matrix([[-2, 0, 2], [-2, 0, 2], [-2, 0, 2]]);\r\n        expect(m3.subtract(m4)).toEqual(m);\r\n        expect(() => m1.subtract(m2)).toThrowError();\r\n    });\r\n\r\n    it(\"can multiply\", () => {\r\n        var m: ml.Matrix = m1.multiply(3);\r\n        var t1: ml.Matrix = new ml.Matrix([[3, 6], [0, -3], [15, 3]]);\r\n        var t2: ml.Matrix = new ml.Matrix([[3, 12], [0, 3], [75, 3]]);\r\n        expect(m.shape).toEqual([3, 2]);\r\n        expect(m).toEqual(t1);\r\n        var mxt1: ml.Matrix = m1.multiply(t1);\r\n        expect(mxt1.shape).toEqual([3, 2]);\r\n        expect(mxt1).toEqual(t2);\r\n        expect(() => m1.multiply(m2)).toThrowError(); // TypeError\r\n    });\r\n\r\n    it(\"can dot\", () => {\r\n        var m: ml.Matrix = m1.dot(m2);\r\n        var t1: ml.Matrix = new ml.Matrix([[1, -4, 8, 6], [0, 1, -2, -3], [5, -11, 22, 3]]);\r\n        var t2: ml.Matrix = new ml.Matrix([[3, 6], [0, -3], [15, 3]]);\r\n        expect(m.shape).toEqual([3, 4]);\r\n        expect(m).toEqual(t1);\r\n        expect(() => m1.dot(m3)).toThrowError();\r\n    });\r\n\r\n    it(\"can transpose\",() => {\r\n        var m: ml.Matrix = new ml.Matrix([[1, 4, 7], [2, 5, 8], [3, 6, 9]]);\r\n        expect(m3.transpose()).toEqual(m);\r\n    });\r\n\r\n    it(\"can addBias\",() => {\r\n        var b: ml.Vector = new ml.Vector([1, 2, 3]);\r\n        var m: ml.Matrix = new ml.Matrix([[2, 4, 6], [5, 7, 9], [8, 10, 12]]);\r\n        expect(m3.addBias(b)).toEqual(m);\r\n        expect(() => m1.addBias(b)).toThrowError();      \r\n    });\r\n\r\n    it(\"can mean\",() => {\r\n        var m2mean: ml.Vector = new ml.Vector([0.5, -1.5, 3, 1.5]);\r\n        var m2mean1: ml.Vector = new ml.Vector([0.75, 1]);\r\n        var m3mean: ml.Vector = new ml.Vector([4, 5, 6]);\r\n        var m3mean1: ml.Vector = new ml.Vector([2, 5, 8]);\r\n        expect(m2.mean()).toEqual(m2mean);\r\n        expect(m3.mean()).toEqual(m3mean);\r\n        expect(m2.mean(1)).toEqual(m2mean1);\r\n        expect(m3.mean(1)).toEqual(m3mean1);\r\n    });\r\n\r\n    it(\"can map\",() => {\r\n        var m3x2: ml.Matrix = m3.map((x: number): number => {\r\n            return x * 2;\r\n        });\r\n        var m: ml.Matrix = new ml.Matrix([[2, 4, 6], [8, 10, 12], [14, 16, 18]]);\r\n        expect(m3x2).toEqual(m);\r\n    });\r\n\r\n    it(\"can toString\", () => {\r\n        expect(m1.toString()).toBe(\"[1, 2]\\n[0, -1]\\n[5, 1]\");\r\n        expect(m2.toString(true)).toBe(\"[1, -2, 4, 0]\\n[0, -1, 2, 3]\");\r\n    });\r\n});"
  },
  {
    "path": "ml/autoencoder/spec/Tests/vector_t_test.ts",
    "content": "﻿/// <reference path=\"../scripts/typings/jasmine/jasmine.d.ts\" />\r\n/// <reference path=\"../../deeplearning/scripts/vector_t.ts\" />\r\n\r\ndescribe(\"VectorT\",() => {\r\n    \r\n    var v1: ml.VectorT, v2: ml.VectorT, v3: ml.VectorT;\r\n\r\n    beforeEach(() => {\r\n        v1 = new ml.VectorT([1, 2, 3, 4, 5]);\r\n        v2 = new ml.VectorT([6, 7, 8, 9, 10]);\r\n        v3 = new ml.VectorT([1, 2, 3]);\r\n    });\r\n    \r\n    it(\"can create\",() => {\r\n        var v: ml.VectorT = ml.VectorT.create(new Float32Array([1, 2, 3]));\r\n        expect(v.size).toBe(3);\r\n        expect(v.toString()).toBe(\"[1, 2, 3]\");\r\n    });\r\n\r\n    it(\"can rand\",() => {\r\n        var v: ml.VectorT = ml.VectorT.rand(5);\r\n        expect(v.size).toBe(5);\r\n        v.map(x => expect(x).toBeGreaterThan(0.0), v.size);\r\n        v.map(x => expect(x).toBeLessThan(1.0), v.size);\r\n    });\r\n\r\n    it(\"can zeros\",() => {\r\n        var v: ml.VectorT = ml.VectorT.zeros(10);\r\n        expect(v.size).toBe(10);\r\n        v.map(x => expect(x).toBe(0), v.size);\r\n    });\r\n\r\n    it(\"can arange\",() => {\r\n        var v: ml.VectorT = new ml.VectorT([0, 1, 2, 3, 4]);\r\n        expect(ml.VectorT.arange(5)).toEqual(v);\r\n    });\r\n\r\n    it(\"can clone\",() => {\r\n        var v: ml.VectorT = new ml.VectorT([1, 2, 3, 4, 5]);\r\n        expect(v1.clone()).toEqual(v);\r\n    });\r\n\r\n    it(\"can at\",() => {\r\n        expect(v1.at(1)).toBe(1);\r\n        expect(v1.at(2)).toBe(2);\r\n        expect(v1.at(3)).toBe(3);\r\n        //expect(v1.at(0)).toBeNull();\r\n        //expect(v1.at(10)).toBeNull();\r\n    });\r\n\r\n    it(\"can add\",() => {\r\n        var v: ml.VectorT = new ml.VectorT([7, 9, 11, 13, 15]);\r\n        expect(v1.add(v2)).toEqual(v);\r\n        expect(v1.add(v3)).toBeNull();\r\n    });\r\n\r\n    it(\"can subtract\",() => {\r\n        var v: ml.VectorT = new ml.VectorT([-5, -5, -5, -5, -5]);\r\n        expect(v1.subtract(v2)).toEqual(v);\r\n        expect(v1.subtract(v3)).toBeNull();\r\n    });\r\n\r\n    it(\"can multiply\",() => {\r\n        var v: ml.VectorT = new ml.VectorT([2, 4, 6, 8, 10]);\r\n        expect(v1.multiply(2)).toEqual(v);\r\n    });\r\n\r\n    it(\"can dot\",() => {\r\n        expect(v1.dot(v2)).toBe(130);\r\n        expect(v1.dot(v3)).toBeNull();\r\n    });\r\n\r\n    it(\"can cross\",() => {\r\n        var a: ml.VectorT = new ml.VectorT([1, 2, 3]);\r\n        var b: ml.VectorT = new ml.VectorT([4, 5, 6]);\r\n        var v: ml.VectorT = new ml.VectorT([-3, 6, -3]);\r\n        expect(a.cross(v1)).toBeNull();\r\n        expect(a.cross(b)).toEqual(v);\r\n    });\r\n});"
  },
  {
    "path": "ml/autoencoder/spec/Tests/vector_test.ts",
    "content": "﻿/// <reference path=\"../scripts/typings/jasmine/jasmine.d.ts\" />\r\n/// <reference path=\"../../deeplearning/scripts/vector.ts\" />\r\n\r\ndescribe(\"Vector\",() => {\r\n    \r\n    var v1: ml.Vector, v2: ml.Vector, v3: ml.Vector;\r\n\r\n    beforeEach(() => {\r\n        v1 = new ml.Vector([1, 2, 3, 4, 5]);\r\n        v2 = new ml.Vector([6, 7, 8, 9, 10]);\r\n        v3 = new ml.Vector([1, 2, 3]);\r\n    });\r\n    \r\n    it(\"can create\", () => {\r\n        var v: ml.Vector = ml.Vector.create([1, 2, 3]);\r\n        expect(v.size).toBe(3);\r\n        expect(v.toString()).toBe(\"[1, 2, 3]\");\r\n    });\r\n\r\n    it(\"can rand\", () => {\r\n        var v: ml.Vector = ml.Vector.rand(5);\r\n        expect(v.size).toBe(5);\r\n        v.map(x => expect(x).toBeGreaterThan(0.0));\r\n        v.map(x => expect(x).toBeLessThan(1.0));\r\n    });\r\n\r\n    it(\"can zeros\", () => {\r\n        var v: ml.Vector = ml.Vector.zeros(10);\r\n        expect(v.size).toBe(10);\r\n        v.map(x => expect(x).toBe(0));\r\n    });\r\n\r\n    it(\"can arange\", () => {\r\n        var v: ml.Vector = new ml.Vector([0, 1, 2, 3, 4]);\r\n        expect(ml.Vector.arange(5)).toEqual(v);\r\n    });\r\n\r\n    it(\"can clone\", () => {\r\n        var v: ml.Vector = new ml.Vector([1, 2, 3, 4, 5]);\r\n        expect(v1.clone()).toEqual(v);\r\n    });\r\n\r\n    it(\"can at\", () => {\r\n        expect(v1.at(1)).toBe(1);\r\n        expect(v1.at(2)).toBe(2);\r\n        expect(v1.at(3)).toBe(3);\r\n        //expect(v1.at(0)).toBeNull();\r\n        //expect(v1.at(10)).toBeNull();\r\n    });\r\n\r\n    it(\"can add\", () => {\r\n        var v: ml.Vector = new ml.Vector([7, 9, 11, 13, 15]);\r\n        expect(v1.add(v2)).toEqual(v);\r\n        expect(v1.add(v3)).toBeNull();\r\n    });\r\n\r\n    it(\"can subtract\", () => {\r\n        var v: ml.Vector = new ml.Vector([-5, -5, -5, -5, -5]);\r\n        expect(v1.subtract(v2)).toEqual(v);\r\n        expect(v1.subtract(v3)).toBeNull();\r\n    });\r\n\r\n    it(\"can multiply\", () => {\r\n        var v: ml.Vector = new ml.Vector([2, 4, 6, 8, 10]);\r\n        expect(v1.multiply(2)).toEqual(v);\r\n    });\r\n\r\n    it(\"can dot\", () => {\r\n        expect(v1.dot(v2)).toBe(130);\r\n        expect(v1.dot(v3)).toBeNull();\r\n    });\r\n\r\n    it(\"can cross\", () => {\r\n        var a: ml.Vector = new ml.Vector([1, 2, 3]);\r\n        var b: ml.Vector = new ml.Vector([4, 5, 6]);\r\n        var v: ml.Vector = new ml.Vector([-3, 6, -3]);\r\n        expect(a.cross(v1)).toBeNull();\r\n        expect(a.cross(b)).toEqual(v);\r\n    });\r\n\r\n    it(\"can mean\", () => {\r\n        var mean: number = 0;\r\n        expect(v1.mean()).toBe(3);\r\n        expect(v2.mean()).toBe(8);\r\n    });\r\n});"
  },
  {
    "path": "ml/autoencoder/spec/packages.config",
    "content": "﻿<?xml version=\"1.0\" encoding=\"utf-8\"?>\r\n<packages>\r\n  <package id=\"jasmine.TypeScript.DefinitelyTyped\" version=\"1.3.7\" targetFramework=\"net45\" />\r\n  <package id=\"jasmine-matchers.TypeScript.DefinitelyTyped\" version=\"0.0.7\" targetFramework=\"net45\" />\r\n</packages>"
  },
  {
    "path": "ml/autoencoder/src/app.ts",
    "content": "﻿\nvar app: ng.IModule = angular.module('Demo', ['ngMaterial']);\napp.config(($mdThemingProvider) => {\n    $mdThemingProvider.theme('default');\n});\n"
  },
  {
    "path": "ml/autoencoder/src/controller.ts",
    "content": "﻿/// <reference path=\"typings/angularjs/angular.d.ts\" />\r\n\r\nmodule DemoApp {\r\n    type dA = ml.DenoisingAutoencoders;\r\n\r\n    export interface Scope extends ng.IScope {\r\n        trainData: ml.Matrix;\r\n        testData: ml.Matrix;\r\n        reconstructed: ml.Matrix;\r\n        epoch: number;\r\n        trainCount: number;\r\n        learningRate: number;\r\n        corruptedRate: number;\r\n        errorRate: number;\r\n        cost: number;\r\n        running: boolean;\r\n        canvas: HTMLCanvasElement;\r\n        info: string;\r\n        buttonText: string;\r\n        train: Function;\r\n        loadModel: Function;\r\n        saveModel: Function;\r\n        deleteModel: Function;\r\n    }\r\n\r\n    export class Controller {\r\n        private dataDim: number;\r\n        private dataNum: number;\r\n        private nVisible: number;\r\n        private nHidden: number;\r\n        private maxIter: number;\r\n        private testInterval: number;\r\n        private net: dA;\r\n        private storage: ml.ModelStorage;\r\n        private ctx: CanvasRenderingContext2D;\r\n        private nx: number;\r\n\r\n        constructor(private $scope: Scope,\r\n            private $interval: ng.IIntervalService,\r\n            private $document: ng.IDocumentService) {\r\n\r\n            this.dataDim = 10;\r\n            this.dataNum = 64;\r\n            this.nVisible = this.dataDim;\r\n            this.nHidden = 3;\r\n            this.maxIter = 1000;\r\n            this.testInterval = 10;\r\n            $scope.epoch = 1;\r\n            $scope.trainCount = 0;\r\n            $scope.learningRate = 0.001;\r\n            $scope.corruptedRate = 0.3;\r\n            $scope.errorRate = 0.0;\r\n            $scope.cost = 0;\r\n            $scope.trainData = ml.Matrix.rand(this.dataNum, this.dataDim, true);\r\n            $scope.testData = ml.Matrix.rand(this.dataNum / 4, this.dataDim, true);\r\n            $scope.reconstructed = null;\r\n            $scope.running = false;\r\n            $scope.canvas = <HTMLCanvasElement>$document.find('canvas')[0];\r\n            $scope.info = '_';\r\n            $scope.buttonText = 'train';\r\n            this.net = new ml.DenoisingAutoencoders($scope.trainData, this.nVisible, this.nHidden);\r\n            $scope.reconstructed = this.net.reconstruct($scope.testData);\r\n            this.storage = new ml.ModelStorage('da', 1);\r\n            this.ctx = this.createContext();\r\n            this.nx = 0;\r\n            $scope.train = angular.bind(this, this.train);\r\n            $scope.loadModel = angular.bind(this, this.loadModel);\r\n            $scope.saveModel = angular.bind(this, this.saveModel);\r\n            $scope.deleteModel = angular.bind(this, this.deleteModel);\r\n        }\r\n\r\n        public train(): void {\r\n            this.$scope.running = !this.$scope.running;\r\n            if(this.$scope.running) {\r\n                this.$scope.buttonText = 'stop';\r\n            }\r\n            var iter: number = this.maxIter;\r\n            var timer = this.$interval(() => {\r\n                iter -= this.$scope.epoch;\r\n                this.$scope.trainCount\r\n                this.$scope.trainCount += this.$scope.epoch;\r\n\r\n                if(iter === 0 || !this.$scope.running) {\r\n                    this.$scope.running = false;\r\n                    iter = this.maxIter;\r\n                    this.$interval.cancel(timer);\r\n                    this.$scope.buttonText = 'train';\r\n                }\r\n\r\n                for(var i = 0; i < this.$scope.epoch; i++) {\n                    this.net.train(this.$scope.learningRate, this.$scope.corruptedRate);\n                }\n\n                if(this.$scope.trainCount % this.testInterval == 0) {\n                    this.$scope.reconstructed = this.net.reconstruct(this.$scope.testData);\n                    var error: number = 0.0;\n                    var subtracted: ml.Matrix = this.$scope.testData.subtract(this.$scope.reconstructed);\n                    var filter: ml.Matrix = subtracted.map((x: number): boolean => {\n                        var isTrue: boolean = Math.abs(x) < 0.5;\n                        if(!isTrue) {\n                            error++;\n                        }\n                        return isTrue;\n                    })\n                    this.$scope.errorRate = error / (this.dataDim * this.dataNum) * 100;\n                    this.$scope.cost = this.net.getCost(this.$scope.corruptedRate);\n                    this.drawGraph();\n                }\r\n            }, this.testInterval);\r\n        }\r\n\r\n        public loadModel(): void {\r\n            this.storage.load((value: any) => {\r\n                if(!value) {\r\n                    this.$scope.info = 'model load failed.';\r\n                } else {\r\n                    var date: Date = null;\r\n                    [this.net, date] = this.net.convertModel(value);\r\n                    this.$scope.info = 'model load complete: (' + date.toString() + ')';\r\n                }\r\n                this.$scope.$apply();\r\n            });\r\n        }\r\n\r\n        public saveModel(): void {\r\n            this.storage.add(this.net, () => {\r\n                this.$scope.info = 'model save complete';\r\n                this.$scope.$apply();\r\n            });\r\n        }\r\n\r\n        public deleteModel(): void {\r\n            this.storage.delete(() => {\r\n                this.$scope.info = 'model delete complete';\r\n                this.$scope.$apply();\r\n            });\r\n        }\r\n\r\n        private createContext(): CanvasRenderingContext2D {\n            var ctx = <CanvasRenderingContext2D>this.$scope.canvas.getContext('2d');\n            ctx.fillStyle = 'rgb(220, 220, 220)';\n            ctx.fillRect(0, 0, ctx.canvas.width, ctx.canvas.height);\n            ctx.strokeStyle = 'rgba(255, 0, 0, 0.8)';\n            ctx.lineWidth = 3;\n            ctx.beginPath();\n            ctx.moveTo(0, ctx.canvas.height);\n            ctx.closePath();\n            return ctx;\n        }\r\n\r\n        private drawGraph(): void {\r\n            var width: number = this.ctx.canvas.width,\n                height: number = this.ctx.canvas.height;\n            var pp: number = height / 20; // 1% / pixel\n            if(this.nx > width) {\n                this.ctx.fillRect(0, 0, width, height);\n                this.ctx.moveTo(0, height);\n                this.nx = 0;\n            }\n            this.ctx.lineTo(this.nx, height - pp * this.$scope.errorRate);\n            this.nx += 2;\n            this.ctx.stroke();\r\n            console.log(pp, this.nx);\r\n        }\r\n    }\r\n\r\n    angular.module('Demo').controller('Controller',\r\n        ['$scope', '$interval', '$document', DemoApp.Controller]);\r\n}"
  },
  {
    "path": "ml/autoencoder/src/da.ts",
    "content": "﻿/**\n * Denoising Autoencoders class\n * author @wellflat\n */\nmodule ml {\n    type dA = ml.DenoisingAutoencoders;\n    type f = (x: number) => number;\n\n    export interface Model {\n        updateTimestamp(): void;\n    }\n\n    export class DenoisingAutoencoders implements Model {\n        constructor(private input: Matrix, private nVisible: number, private nHidden: number,\n            private W: Matrix = Matrix.rand(nVisible, nHidden),\n            private vBias: Vector = Vector.zeros(nVisible),\n            private hBias: Vector = Vector.zeros(nHidden),\n            private timestamp: number = new Date().getTime()) {\n            // initializer\n        }\n        // accessors\n        get weights(): Matrix { return this.W; }\n        set weights(w: Matrix) { this.W = w; }\n        get vbias(): Vector { return this.vBias; }\n        set vbias(b: Vector) { this.vBias = b; }\n        get hbias(): Vector { return this.hBias; }\n        set hbias(b: Vector) { this.hBias = b; }\n        get data(): Matrix { return this.input; }\n        set data(input: Matrix) { this.input = input; }\n        get time(): number { return this.timestamp; }\n\n        /**\r\n         * computes the cost and the updates for one training step of the dA\r\n         */\n        public train(learningRate: number, corruptionLevel: number): void {\n            var x: Matrix = this.input,\n                tildeX: Matrix = this.getCorruptedInput(x, corruptionLevel),\n                y: Matrix = this.getHiddenValues(tildeX),\n                z: Matrix = this.getReconstructedInput(y),\n                Lvbias: Matrix = x.subtract(z),\n                Lhbias: Matrix = null,\n                LW: Matrix = null,\n                sigma: Matrix = Lvbias.dot(this.W),\n                data: number[][] = [],\n                rows: number = sigma.rows,\n                cols: number = sigma.cols;\n\n            for(var i = 0; i < rows; i++) {\n                data[i] = [];\n                for(var j = 0; j < cols; j++) {\n                    data[i][j] = sigma.at(i + 1, j + 1) * y.at(i + 1, j + 1) * (1 - y.at(i + 1, j + 1));\n                }\n            }\n            Lhbias = new Matrix(data);\n            LW = tildeX.transpose().dot(Lhbias).add(Lvbias.transpose().dot(y));\n            this.W = this.W.add(LW.multiply(learningRate));\n            this.hBias = this.hBias.add(Lhbias.mean().multiply(learningRate));\n            this.vBias = this.vBias.add(Lvbias.mean().multiply(learningRate));\n        }\n\n        public reconstruct(matrix: Matrix): Matrix {\n            if(matrix.cols !== this.input.cols) {\n                throw new Error(\"invalid vector size\");\n            }\n            return this.getReconstructedInput(this.getHiddenValues(matrix));\n        }\n        \n        // computes the cost (cross entropy)\n        public getCost(corruptionLevel: number): number {\n            var tildeX: Matrix = this.getCorruptedInput(this.input, corruptionLevel),\n                y: Matrix = this.getHiddenValues(tildeX),\n                z: Matrix = this.getReconstructedInput(y),\n                rows: number = this.input.rows,\n                cols: number = this.input.cols,\n                xs: Matrix = Matrix.ones(rows, cols).subtract(this.input),\n                logzs: Matrix = Matrix.ones(rows, cols).subtract(z).log(),\n                xlogz: Matrix = this.input.multiply(z.log()),\n                xslogzs: Matrix = xs.multiply(logzs),\n                cost: number = xlogz.add(xslogzs).sum(1).mean();\n            return -cost;\n        }\n\n        /* uses timestamp when store model in IndexedDB */\n        public updateTimestamp(): void {\n            this.timestamp = new Date().getTime();\n        }\n\n        /* converts object to model */\n        public convertModel(value: any): [dA, Date] {\n            var input: ml.Matrix = new ml.Matrix(value.input.elements),\n                W: ml.Matrix = new ml.Matrix(value.W.elements),\n                vBias: ml.Vector = new ml.Vector(value.vBias.elements),\n                hBias: ml.Vector = new ml.Vector(value.hBias.elements),\n                net: dA = new ml.DenoisingAutoencoders(input, value.nVisible, value.nHidden,\n                    W, vBias, hBias),\n                date = new Date(value.timestamp);\n            return [net, date];\n        }\n\n        private getCorruptedInput(input: Matrix, corruptionLevel: number): Matrix {\n            if(corruptionLevel > 1.0) {\n                throw new Error(\"corruptionLevel lower than 1.0\");\n            }\n            var corrupted: number[][] = [],\n                rows: number = input.rows,\n                cols: number = input.cols,\n                bernoulli = p => Math.random() <= p ? 1 : 0;\n            for(var i = 0; i < rows; i++) {\n                corrupted.push([]);\n                for(var j = 0; j < cols; j++) {\n                    corrupted[i].push(bernoulli(1 - corruptionLevel) * input.at(i + 1, j + 1));\n                }\n            }\n            return new Matrix(corrupted);\n        }\n\n        // encode: y = s(Wx + b)\n        private getHiddenValues(input: Matrix): Matrix {\n            var weighted: Matrix = input.dot(this.W);\n            var s = x => 1.0 / (1 + Math.exp(-x));\n            return weighted.addBias(this.hBias).map(s);\n        }\n\n        // decode: z = s(W'y + b')\n        private getReconstructedInput(hidden: Matrix): Matrix {\n            var weighted: Matrix = hidden.dot(this.W.transpose());\n            var s = x => 1.0 / (1 + Math.exp(-x));\n            return weighted.addBias(this.vBias).map(s);\n        }\n\n        private binomial(n: number, p: number): number {\n            var x: number = 0,\n                bernoulli = p => Math.random() <= p ? 1 : 0;\n            for(var i = 0; i < n; i++) {\n                x += bernoulli(p);\n            }\n            return x;\n        }\n    }\n}"
  },
  {
    "path": "ml/autoencoder/src/matrix.ts",
    "content": "﻿module ml {\n    /**\n     * Matrix class\n     */\n    export class Matrix {\n        private elements: number[][];\n\n        constructor(elements: number[][]) {\n            this.setElements(elements);\n        }\n        // accessors\n        get shape(): number[] {\n            var cols: number = (this.elements.length === 0) ? 0 : this.elements[0].length;\n            return [this.elements.length, cols];\n        }\n        get rows(): number { return this.elements.length; }\n        get cols(): number { return this.elements[0].length; }\n\n        static rand(n: number, m: number, round: boolean = false): Matrix {\n            if(round) {\n                return Matrix.zeros(n, m).map(Math.random).map(Math.round);\n            } else {\n                return Matrix.zeros(n, m).map(Math.random);\n            }\n            \n        }\n\n        static zeros(n: number, m: number): Matrix {\n            return Matrix.fill(n, m, 0);\n        }\n\n        static ones(n: number, m: number): Matrix {\n            return Matrix.fill(n, m, 1);\n        }\n\n        static fill(n: number, m: number, x: number): Matrix {\n            var elements: number[][] = [], i = n, j = m;\n            while(i--) {\n                j = m;\n                elements[i] = [];\n                while(j--) {\n                    elements[i][j] = x;\n                }\n            }\n            return new Matrix(elements);\n        }\n\n        public row(i: number): Vector {\n            if(i <= 0 || i > this.elements.length) {\n                throw new RangeError(\"index range error\");\n            }\n            return Vector.create(this.elements[i - 1]);\n        }\n\n        public col(j: number): Vector {\n            if(this.elements.length === 0 ||\n                j <= 0 || j > this.elements[0].length) {\n                throw new RangeError(\"index range error\");\n            }\n            var col: number[] = [],\n                n: number = this.elements.length;\n            for(var i = 0; i < n; i++) {\n                col[i] = this.elements[i][j - 1];\n            }\n            return Vector.create(col);\n        }\n\n        public at(i: number, j: number): number {\n            // Assertion\n            //if(i < 1 || i > this.elements.length || j < 1 || j > this.elements[0].length) {\n            //    throw new RangeError(\"index range error\");\n            //}\n            return this.elements[i - 1][j - 1];\n        }\n\n        public add(matrix: Matrix): Matrix {\n            if(!this.isSameSizeAs(matrix)) {\n                throw new Error(\"invalid matrix shape\");\n            }\n            return this.map((x, i, j) => x + matrix.elements[i - 1][j - 1]);\n        }\n\n        public subtract(matrix: Matrix): Matrix {\n            if(!this.isSameSizeAs(matrix)) {\n                throw new Error(\"invalid matrix shape\");\n            }\n            return this.map((x, i, j) => x - matrix.elements[i - 1][j - 1]);\n        }\n\n        private isSameSizeAs(matrix: Matrix): boolean {\n            return (this.elements.length === matrix.elements.length &&\n                this.elements[0].length === matrix.elements[0].length);\n        }\n\n        public multiply(matrix: number | Matrix): Matrix { // Jasmine not supported\n        //public multiply(matrix): Matrix {\n            if(typeof matrix === \"number\") {\n                return this.map(x => x * matrix);\n            } else {  // element-wise ( * operator in NumPy)\n                var mat: number[][] = matrix.elements,\n                    i: number = this.elements.length,\n                    j: number = 0,\n                    nj: number = mat[0].length,\n                    elements: number[][] = [];\n                while(i--) {\n                    j = nj;\n                    elements[i] = [];\n                    while(j--) {\n                        elements[i][j] = this.elements[i][j] * mat[i][j];\n                    }\n                }\n                return new Matrix(elements);\n            }\n        }\n\n        public dot(matrix: Matrix): Matrix {\n            // can multiply from left\n            if(this.elements[0].length !== matrix.elements.length) {\n                throw new Error(\"invalid matrix shape\");\n            }\n            var mat: number[][] = matrix.elements,\n                i: number = this.elements.length,\n                j: number = 0,\n                nj: number = mat[0].length,\n                cols: number = this.elements[0].length,\n                c: number = 0,\n                elements: number[][] = [],\n                sum: number = 0;\n            while(i--) {\n                j = nj;\n                elements[i] = [];\n                while(j--) {\n                    c = cols;\n                    sum = 0;\n                    while(c--) {\n                        sum += this.elements[i][c] * mat[c][j];\n                    }\n                    elements[i][j] = sum;\n                }\n            }\n            return new Matrix(elements);\n        }\n\n        public transpose(): Matrix {\n            var rows: number = this.elements.length,\n                cols: number = this.elements[0].length,\n                i: number = cols, j: number = rows,\n                elements: number[][] = [];\n            while(i--) {\n                j = rows;\n                elements[i] = [];\n                while(j--) {\n                    elements[i][j] = this.elements[j][i];\n                }\n            }\n            return new Matrix(elements);\n        }\n\n        public addBias(bias: Vector): Matrix {\n            if(bias.size !== this.elements[0].length) {\n                throw new Error(\"invalid vector size\");\n            }\n            var elements: number[][] = [],\n                rows: number = this.elements.length,\n                cols: number = this.elements[0].length;\n            for(var i = 0; i < rows; i++) {\n                elements[i] = [];\n                for(var j = 0; j < cols; j++) {\n                    elements[i][j] = this.elements[i][j] + bias.at(j + 1);\n                }\n            }\n            return new Matrix(elements);\n        }\n\n        public sum(axis: number = 0): Vector {\n            var sums: number[] = [],\n                rows: number = this.elements.length,\n                cols: number = this.elements[0].length;\n            if(axis == 0) {\n                for(var i = 0; i < cols; i++) {\n                    sums[i] = 0;\n                }\n                for(var i = 0; i < rows; i++) {\n                    for(var j = 0; j < cols; j++) {\n                        sums[j] += this.elements[i][j];\n                    }\n                }\n                return Vector.create(sums);\n            } else if(axis == 1) {\n                for(var i = 0; i < rows; i++) {\n                    sums[i] = 0;\n                }\n                for(var i = 0; i < rows; i++) {\n                    for(var j = 0; j < cols; j++) {\n                        sums[i] += this.elements[i][j];\n                    }\n                }\n                return Vector.create(sums);\n            }\n        }\n\n        public mean(axis: number = 0): Vector {\n            var rows: number = this.elements.length,\n                cols: number = this.elements[0].length;\n            if(axis == 0) {\n                return this.sum(axis).multiply(1.0 / rows);\n            } else if(axis == 1) {\n                return this.sum(axis).multiply(1.0 / cols);\n            }\n        }\n\n        public max(): number {\n            var rows: number = this.elements.length,\n                cols: number = this.elements[0].length,\n                max: number = 0.0,\n                tmp: number = 0;\n            for(var i = 0; i < rows; i++) {\n                for(var j = 0; j < cols; j++) {\n                    if(max < this.elements[i][j]) {\n                        max = this.elements[i][j];\n                    }\n                }\n            }\n            return max;\n        }\n\n        public log(): Matrix {\n            return this.map(x => Math.log(x));\n        }\n\n        public map(fn: Function): Matrix {\n            var elements: number[][] = [],\n                i: number = this.elements.length,\n                nj: number = this.elements[0].length,\n                j: number = nj;\n            while(i--) {\n                j = nj;\n                elements[i] = [];\n                while(j--) {\n                    elements[i][j] = fn.call(this, this.elements[i][j], i + 1, j + 1);\n                }\n            }\n            return new Matrix(elements);\n        }\n\n        public toString(round: boolean = false): string {\n            var rows: string[] = [],\n                elements: number[] = null,\n                n: number = this.elements.length;\n            for(var i = 0; i < n; i++) {\n                if(round) {\n                    elements = this.elements[i].map(x => Math.round(x * 1000) / 1000);\n                    rows[i] = Vector.create(elements).toString();\n                } else {\n                    rows[i] = Vector.create(this.elements[i]).toString();\n                }\n            }\n            return rows.join(\"\\n\");\n        }\n\n        private setElements(elements: number[][]) {\n            var i: number = 0, j: number = 0;\n            if(elements[0] && typeof elements[0][0] !== undefined) {\n                i = elements.length;\n                this.elements = [];\n                while(i--) {\n                    j = elements[i].length;\n                    this.elements[i] = [];\n                    while(j--) {\n                        this.elements[i][j] = elements[i][j];\n                    }\n                }\n            }\n        }\n    }\n}\n"
  },
  {
    "path": "ml/autoencoder/src/matrix_t.ts",
    "content": "﻿module ml {\n    /**\r\n     * Matrix class using Typed Array (Float32Array)\r\n     */\n    export class MatrixT {\n        private elements: Float32Array[];\n\n        constructor(elements: number[][]);\n        constructor(elements: Float32Array[]);\n\n        constructor(elements: any) {\n            if(elements[0] instanceof Float32Array) {\n                this.elements = elements;\n            } else {\n                this.setElements(elements);\n            }\n        }\n\n        // accessors\n        get shape(): number[] {\n            var cols: number = (this.elements.length === 0) ? 0 : this.elements[0].length;\n            return [this.elements.length, cols];\n        }\n        get rows(): number { return this.elements.length; }\n        get cols(): number { return this.elements[0].length; }\n\n        static rand(n: number, m: number): MatrixT {\n            return MatrixT.zeros(n, m).map(Math.random);\n        }\n\n        static zeros(n: number, m: number): MatrixT {\n            var elements: number[][] = [], i = n, j = m;\n            while(i--) {\n                j = m;\n                elements[i] = [];\n                while(j--) {\n                    elements[i][j] = 0;\n                }\n            }\n            return new MatrixT(elements);\n        }\n\n        public row(i: number): VectorT {\n            if(i <= 0 || i > this.elements.length) {\n                throw new RangeError(\"index range error\");\n            }\n            return VectorT.create(this.elements[i - 1]);\n        }\n\n        public col(j: number): VectorT {\n            if(this.elements.length === 0 ||\n                j <= 0 || j > this.elements[0].length) {\n                throw new RangeError(\"index range error\");\n            }\n            var n: number = this.elements.length,\n                col: Float32Array = new Float32Array(n);\n            for(var i = 0; i < n; i++) {\n                col[i] = this.elements[i][j - 1];\n            }\n            return VectorT.create(col);\n        }\n\n        public at(i: number, j: number): number {\n            //if(i < 1 || i > this.elements.length || j < 1 || j > this.elements[0].length) {\n            //    throw new RangeError(\"index range error\");\n            //}\n            return this.elements[i - 1][j - 1];\n        }\n\n        public add(matrix: MatrixT): MatrixT {\n            if(!this.isSameSizeAs(matrix)) {\n                throw new Error(\"invalid matrix shape\");\n            }\n            return this.map((x, i, j) => x + matrix.elements[i - 1][j - 1]);\n        }\n\n        public subtract(matrix: MatrixT): MatrixT {\n            if(!this.isSameSizeAs(matrix)) {\n                throw new Error(\"invalid matrix shape\");\n            }\n            return this.map((x, i, j) => x - matrix.elements[i - 1][j - 1]);\n        }\n\n        private isSameSizeAs(matrix: MatrixT): boolean {\n            return (this.elements.length === matrix.elements.length &&\n                this.elements[0].length === matrix.elements[0].length);\n        }\n\n        //public multiply(matrix: number | Matrix): Matrix {\n        public multiply(matrix): MatrixT {\n            if(typeof matrix === \"number\") {\n                return this.map(x => x * matrix);\n            } else { // element-wise\n                var mat: number[][] = matrix.elements,\n                    i: number = this.elements.length,\n                    j: number = 0,\n                    nj: number = mat[0].length,\n                    elements: number[][] = [];\n                while(i--) {\n                    j = nj;\n                    elements[i] = [];\n                    while(j--) {\n                        elements[i][j] = this.elements[i][j] * mat[i][j];\n                    }\n                }\n                return new MatrixT(elements);\n            }\n        }\n\n        public dot(matrix): MatrixT {\n            // can multiply from left\n            if(this.elements[0].length !== matrix.elements.length) {\n                throw new Error(\"invalid matrix shape\");\n            }\n            var M: number[][] = matrix.elements,\n                i: number = this.elements.length,\n                j: number = 0,\n                nj: number = M[0].length,\n                cols: number = this.elements[0].length,\n                c: number = 0,\n                elements: number[][] = [],\n                sum: number = 0;\n            while(i--) {\n                j = nj;\n                elements[i] = [];\n                while(j--) {\n                    c = cols;\n                    sum = 0;\n                    while(c--) {\n                        sum += this.elements[i][c] * M[c][j];\n                    }\n                    elements[i][j] = sum;\n                }\n            }\n            return new MatrixT(elements);\n        }\n\n        public transpose(): MatrixT {\n            var rows: number = this.elements.length,\n                cols: number = this.elements[0].length,\n                i: number = cols, j: number = rows,\n                elements: number[][] = [];\n            while(i--) {\n                j = rows;\n                elements[i] = [];\n                while(j--) {\n                    elements[i][j] = this.elements[j][i];\n                }\n            }\n            return new MatrixT(elements);\n        }\n\n        public addBias(bias: VectorT): MatrixT {\n            if(bias.size !== this.elements[0].length) {\n                throw new Error(\"invalid vector size\");\n            }\n            var elements: number[][] = [],\n                rows: number = this.elements.length,\n                cols: number = this.elements[0].length;\n            for(var i = 0; i < rows; i++) {\n                elements[i] = [];\n                for(var j = 0; j < cols; j++) {\n                    elements[i][j] = this.elements[i][j] + bias.at(j + 1);\n                }\n            }\n            return new MatrixT(elements);\n        }\n\n        public sum(axis: number = 0): VectorT {\n            var sums: number[] = [],\n                rows: number = this.elements.length,\n                cols: number = this.elements[0].length;\n            if(axis == 0) {\n                for(var i = 0; i < cols; i++) {\n                    sums[i] = 0;\n                }\n                for(var i = 0; i < rows; i++) {\n                    for(var j = 0; j < cols; j++) {\n                        sums[j] += this.elements[i][j];\n                    }\n                }\n                return VectorT.create(new Float32Array(sums));\n            } else if(axis == 1) {\n                for(var i = 0; i < rows; i++) {\n                    sums[i] = 0;\n                }\n                for(var i = 0; i < rows; i++) {\n                    for(var j = 0; j < cols; j++) {\n                        sums[i] += this.elements[i][j];\n                    }\n                }\n                return VectorT.create(new Float32Array(sums));\n            }\n        }\n\n        public mean(axis: number = 0): VectorT {\n            var sums: number[] = [],\n                rows: number = this.elements.length,\n                cols: number = this.elements[0].length;\n            if(axis == 0) {\n                for(var i = 0; i < cols; i++) {\n                    sums[i] = 0;\n                }\n                for(var i = 0; i < rows; i++) {\n                    for(var j = 0; j < cols; j++) {\n                        sums[j] += this.elements[i][j];\n                    }\n                }\n                return VectorT.create(new Float32Array(sums)).multiply(1.0 / rows);\n            } else if(axis == 1) {\n                for(var i = 0; i < rows; i++) {\n                    sums[i] = 0;\n                }\n                for(var i = 0; i < rows; i++) {\n                    for(var j = 0; j < cols; j++) {\n                        sums[i] += this.elements[i][j];\n                    }\n                }\n                return VectorT.create(new Float32Array(sums)).multiply(1.0 / cols);\n            }\n        }\n\n        public log(): MatrixT {\n            return this.map(x => Math.log(x));\n        }\n\n        public map(fn: Function): MatrixT {\n            var elements: number[][] = [],\n                i: number = this.elements.length,\n                nj: number = this.elements[0].length,\n                j: number = nj;\n            while(i--) {\n                j = nj;\n                elements[i] = [];\n                while(j--) {\n                    elements[i][j] = fn.call(this, this.elements[i][j], i + 1, j + 1);\n                }\n            }\n            return new MatrixT(elements);\n        }\n\n        public toString(round: boolean = false): string {\n            var rows: string[] = [],\n                n: number = this.elements.length,\n                elements: Float32Array = null;\n            for(var i = 0; i < n; i++) {\n                if(round) {\n                    elements = this.elements[i].map(x => Math.round(x * 1000) / 1000);\n                    rows[i] = VectorT.create(elements).toString();\n                } else {\n                    rows[i] = VectorT.create(this.elements[i]).toString();\n                }\n            }\n            return rows.join(\"\\n\");\n        }\n\n        private setElements(elements: number[][]) {\n            var i: number = 0, j: number = 0;\n            if(elements[0] && typeof elements[0][0] !== undefined) {\n                i = elements.length;\n                this.elements = [];\n                while(i--) {\n                    j = elements[i].length;\n                    this.elements[i] = new Float32Array(j);\n                    while(j--) {\n                        this.elements[i][j] = elements[i][j];\n                    }\n                }\n            }\n        }\n    }\n}"
  },
  {
    "path": "ml/autoencoder/src/storage.ts",
    "content": "﻿module ml {\r\n    /**\r\n     * Model Storage class\r\n     * author @wellflat\r\n     */\r\n    export class ModelStorage {\r\n        \r\n        constructor(private name: string, private version: number) {\r\n            var idb: IDBFactory = indexedDB;\r\n            var dbr: IDBOpenDBRequest = idb.open(name, version);\r\n            dbr.onupgradeneeded = this.upgrade;\r\n        }\r\n\r\n        private upgrade(e: any): void {\r\n            var db: IDBDatabase = e.target.result;\r\n            var store: IDBObjectStore = db.createObjectStore(\"model\", { keyPath: \"timestamp\" });\r\n            store.createIndex(\"name\", \"name\", { unique: true });\r\n        }\r\n\r\n        public load(callback: (data: Object) => void): void {\r\n            var dbr: IDBOpenDBRequest = indexedDB.open(this.name, this.version);\r\n            dbr.onsuccess = (e: any) => {\r\n                var db: IDBDatabase = dbr.result;\r\n                var trans: IDBTransaction = db.transaction(\"model\", \"readonly\");\r\n                var store: IDBObjectStore = trans.objectStore(\"model\");\r\n                var tmp: Object = null;\r\n                store.openCursor().onsuccess = (e: any) => {\r\n                    var cursor: IDBCursorWithValue = e.target.result;\r\n                    if(cursor) {\r\n                        //console.log(cursor.key, cursor.value);\r\n                        tmp = cursor.value;\r\n                        cursor.continue();\r\n                    } else {\r\n                        callback(tmp);\r\n                    }\r\n                };\r\n            };\r\n        }\r\n\r\n        public add(model: Model, callback: () => void): void {\r\n            model.updateTimestamp();\r\n            var dbr: IDBOpenDBRequest = indexedDB.open(this.name, this.version);\r\n            dbr.onsuccess = () => {\r\n                var db: IDBDatabase = dbr.result;\r\n                var trans: IDBTransaction = db.transaction(\"model\", \"readwrite\");\r\n                var store: IDBObjectStore = trans.objectStore(\"model\");\r\n                var req: IDBRequest = store.add(model);\r\n                req.onsuccess = () => {\r\n                    console.log(\"add#onsuccess\");\r\n                    callback();\r\n                };\r\n                req.onerror = () => {\r\n                    console.log(\"add#onerror\");\r\n                    callback();\r\n                };\r\n            };\r\n        }\r\n\r\n        public delete(callback: () => void): void {\r\n            var dbr: IDBOpenDBRequest = indexedDB.open(this.name, this.version);\r\n            dbr.onsuccess = () => {\r\n                var db: IDBDatabase = dbr.result;\r\n                var trans: IDBTransaction = db.transaction(\"model\", \"readwrite\");\r\n                var store: IDBObjectStore = trans.objectStore(\"model\");\r\n                var req: IDBRequest = store.clear();\r\n                req.onsuccess = () => {\r\n                    console.log(\"delete#onsuccess\");\r\n                    callback();\r\n                };\r\n                req.onerror = () => {\r\n                    console.log(\"delete#onerror\");\r\n                    callback();\r\n                };\r\n            };\r\n        }\r\n    }\r\n} "
  },
  {
    "path": "ml/autoencoder/src/vector.ts",
    "content": "﻿module ml {\n    /**\n     * Vector class\n     */\n    export class Vector {\n\n        constructor(private elements: number[]) { }\n\n        get size(): number { return this.elements.length; }\n\n        static create(elements: number[]): Vector {\n            return new Vector(elements.slice());\n        }\n\n        static rand(n: number): Vector {\n            var elements: number[] = [];\n            while(n--) { elements.push(Math.random()); }\n            return Vector.create(elements);\n        }\n\n        static zeros(n: number): Vector {\n            var elements: number[] = [];\n            while(n--) { elements.push(0); }\n            return Vector.create(elements);\n        }\n\n        static arange(n: number): Vector {\n            var elements: number[] = [];\n            for(var i = 0; i < n; i++) {\n                elements[i] = i;\n            }\n            return Vector.create(elements);\n        }\n\n        public clone(): Vector {\n            return Vector.create(this.elements);\n        }\n\n        public at(i: number): number {\n            //return (i < 1 || i > this.elements.length) ? null : this.elements[i - 1];\n            return this.elements[i - 1];\n        }\n\n        public add(vector: Vector): Vector {\n            var v: number[] = vector.elements;\n            if(this.elements.length !== v.length) { return null; }\n            return this.map((x, i) => x + v[i - 1]);\n        }\n\n        public subtract(vector: Vector): Vector {\n            var v: number[] = vector.elements;\n            if(this.elements.length !== v.length) { return null; }\n            return this.map((x, i) => x - v[i - 1]);\n        }\n\n        public multiply(k: number): Vector {\n            return this.map(x => x * k);\n        }\n\n        public dot(vector: Vector): number {\n            var v: number[] = vector.elements,\n                product: number = 0,\n                n: number = this.elements.length;\n            if(n !== v.length) {\n                return null;\n            }\n            while(n--) {\n                product += this.elements[n] * v[n];\n            }\n            return product;\n        }\n\n        public cross(vector: Vector): Vector {\n            var b: number[] = vector.elements;\n            if(this.elements.length !== 3 || b.length !== 3) {\n                return null;\n            }\n            var a: number[] = this.elements;\n            return Vector.create([\n                (a[1] * b[2]) - (a[2] * b[1]),\n                (a[2] * b[0]) - (a[0] * b[2]),\n                (a[0] * b[1]) - (a[1] * b[0])\n            ]);\n        }\n\n        public mean(): number {\n            var l: number = this.elements.length;\n            var sum: number = 0.0;\n            for(var i = 0; i < l; i++) {\n                sum += this.elements[i];\n            }\n            return sum / l;\n        }\n\n        public toString(): string {\n            return \"[\" + this.elements.join(\", \") + \"]\";\n        }\n\n        public map(fn: Function): Vector {\n            var elements: number[] = [];\n            this.forEach((x, i) => elements.push(fn.call(this, x, i)));\n            return Vector.create(elements);\n        }\n\n        private forEach(fn: Function): void {\n            var n: number = this.elements.length;\n            for(var i = 0; i < n; i++) {\n                fn.call(this, this.elements[i], i + 1);\n            }\n        }\n    }\n}\n"
  },
  {
    "path": "ml/autoencoder/src/vector_t.ts",
    "content": "﻿module ml {\n    /**\n     * Vector class using Typed Array (Float32Array)\n     */\n    export class VectorT {\n        private elements: Float32Array;\n\n        constructor(elements: number[]);\n        constructor(elements: Float32Array);\n        constructor(elements: any) {\n            if(elements instanceof Float32Array) {\n                //this.elements = elements.slice();\n                this.elements = elements;\n            } else {\n                this.elements = new Float32Array(elements);\n            }\n        }\n\n        get size(): number { return this.elements.length; }\n\n        static create(elements: Float32Array): VectorT {\n            return new VectorT(elements);\n        }\n\n        static rand(n: number): VectorT {\n            var elements: number[] = [];\n            for(var i: number = 0; i < n; i++) {\n                elements[i] = Math.random();\n            }\n            return new VectorT(elements);\n        }\n\n        static zeros(n: number): VectorT {\n            return new VectorT(new Float32Array(n));\n        }\n\n        static arange(n: number): VectorT {\n            var elements: Float32Array = new Float32Array(n);\n            for(var i = 0; i < n; i++) {\n                elements[i] = i;\n            }\n            return new VectorT(elements);\n        }\n\n        public clone(): VectorT {\n            return VectorT.create(this.elements);\n        }\n\n        public at(i: number): number {\n            //return (i < 1 || i > this.elements.length) ? null : this.elements[i - 1];\n            return this.elements[i - 1];\n        }\n\n        public add(vector: VectorT): VectorT {\n            var v: Float32Array = vector.elements;\n            if(this.elements.length !== v.length) { return null; }\n            return this.map((x, i) => x + v[i - 1], v.length);\n        }\n\n        public subtract(vector: VectorT): VectorT {\n            var v: Float32Array = vector.elements;\n            if(this.elements.length !== v.length) { return null; }\n            return this.map((x, i) => x - v[i - 1], v.length);\n        }\n\n        public multiply(k: number): VectorT {\n            return this.map(x => x * k, this.elements.length);\n        }\n\n        public dot(vector: VectorT): number {\n            var v: Float32Array = vector.elements,\n                product: number = 0,\n                n: number = this.elements.length;\n            if(n !== v.length) {\n                return null;\n            }\n            while(n--) {\n                product += this.elements[n] * v[n];\n            }\n            return product;\n        }\n\n        public cross(vector: VectorT): VectorT {\n            var b: Float32Array = vector.elements;\n            if(this.elements.length !== 3 || b.length !== 3) {\n                return null;\n            }\n            var a: Float32Array = this.elements;\n            return new VectorT(new Float32Array([\n                (a[1] * b[2]) - (a[2] * b[1]),\n                (a[2] * b[0]) - (a[0] * b[2]),\n                (a[0] * b[1]) - (a[1] * b[0])\n            ]));\n        }\n\n        public mean(): number {\n            var l: number = this.elements.length;\n            var sum: number = 0.0;\n            for(var i = 0; i < l; i++) {\n                sum += this.elements[i];\n            }\n            return sum / l;\n        }\n        \n        public toString(): string {\n            //Float32Array#join cannot use\n            var l: number = this.elements.length,\n                str: string = \"[\";\n            for(var i = 0; i < l; i++) {\n                str += this.elements[i].toString() + ', ';\n            }\n            str = str.substring(0, str.length - 2);\n            str += ']';\n            return str;\n        }\n\n        public map(fn: Function, size: number): VectorT {\n            var elements: Float32Array = new Float32Array(size);\n            this.forEach((x, i) => elements[i] = fn.call(this, x, i));\n            return new VectorT(elements);\n        }\n\n        private forEach(fn: Function): void {\n            var n: number = this.elements.length;\n            for(var i = 0; i < n; i++) {\n                fn.call(this, this.elements[i], i + 1);\n            }\n        }\n    }\n}"
  },
  {
    "path": "ml/datasets/README.md",
    "content": "# Dataset loading utilities\n\n## description\n\nthis module embeds some small toy datasets for machine learning\n\n* [Boston Housing dataset](http://www.cs.toronto.edu/~delve/data/boston/bostonDetail.html)\n* [Iris dataset](https://archive.ics.uci.edu/ml/datasets/iris)\n* [Digit dataset](http://archive.ics.uci.edu/ml/datasets/Pen-Based+Recognition+of+Handwritten+Digits)\n"
  },
  {
    "path": "ml/datasets/boston_data.js",
    "content": "export default {data: [[0.49298,0.0,9.9,0.0,0.544,6.635,82.5,3.3175,4.0,304.0,18.4,396.9,4.54],[3.56868,0.0,18.1,0.0,0.58,6.437,75.0,2.8965,24.0,666.0,20.2,393.37,14.36],[1.61282,0.0,8.14,0.0,0.538,6.096,96.9,3.7598,4.0,307.0,21.0,248.31,20.34],[0.05561,70.0,2.24,0.0,0.4,7.041,10.0,7.8278,5.0,358.0,14.8,371.58,4.74],[4.03841,0.0,18.1,0.0,0.532,6.229,90.7,3.0993,24.0,666.0,20.2,395.33,12.87],[15.1772,0.0,18.1,0.0,0.74,6.152,100.0,1.9142,24.0,666.0,20.2,9.32,26.45],[0.14052,0.0,10.59,0.0,0.489,6.375,32.3,3.9454,4.0,277.0,18.6,385.81,9.38],[0.03615,80.0,4.95,0.0,0.411,6.63,23.4,5.1167,4.0,245.0,19.2,396.9,4.7],[20.0849,0.0,18.1,0.0,0.7,4.368,91.2,1.4395,24.0,666.0,20.2,285.83,30.63],[9.39063,0.0,18.1,0.0,0.74,5.627,93.9,1.8172,24.0,666.0,20.2,396.9,22.88],[25.9406,0.0,18.1,0.0,0.679,5.304,89.1,1.6475,24.0,666.0,20.2,127.36,26.64],[0.08873,21.0,5.64,0.0,0.439,5.963,45.7,6.8147,4.0,243.0,16.8,395.56,13.45],[0.08265,0.0,13.92,0.0,0.437,6.127,18.4,5.5027,4.0,289.0,16.0,396.9,8.58],[0.07503,33.0,2.18,0.0,0.472,7.42,71.9,3.0992,7.0,222.0,18.4,396.9,6.47],[2.44953,0.0,19.58,0.0,0.605,6.402,95.2,2.2625,5.0,403.0,14.7,330.04,11.32],[0.05188,0.0,4.49,0.0,0.449,6.015,45.1,4.4272,3.0,247.0,18.5,395.99,12.86],[0.05789,12.5,6.07,0.0,0.409,5.878,21.4,6.498,4.0,345.0,18.9,396.21,8.1],[9.51363,0.0,18.1,0.0,0.713,6.728,94.1,2.4961,24.0,666.0,20.2,6.68,18.71],[7.40389,0.0,18.1,0.0,0.597,5.617,97.9,1.4547,24.0,666.0,20.2,314.64,26.4],[0.57529,0.0,6.2,0.0,0.507,8.337,73.3,3.8384,8.0,307.0,17.4,385.91,2.47],[6.71772,0.0,18.1,0.0,0.713,6.749,92.6,2.3236,24.0,666.0,20.2,0.32,17.44],[0.06076,0.0,11.93,0.0,0.573,6.976,91.0,2.1675,1.0,273.0,21.0,396.9,5.64],[0.17446,0.0,10.59,1.0,0.489,5.96,92.1,3.8771,4.0,277.0,18.6,393.25,17.27],[0.02187,60.0,2.93,0.0,0.401,6.8,9.9,6.2196,1.0,265.0,15.6,393.37,5.03],[14.2362,0.0,18.1,0.0,0.693,6.343,100.0,1.5741,24.0,666.0,20.2,396.9,20.32],[0.17331,0.0,9.69,0.0,0.585,5.707,54.0,2.3817,6.0,391.0,19.2,396.9,12.01],[0.20746,0.0,27.74,0.0,0.609,5.093,98.0,1.8226,4.0,711.0,20.1,318.43,29.68],[0.61154,20.0,3.97,0.0,0.647,8.704,86.9,1.801,5.0,264.0,13.0,389.7,5.12],[13.9134,0.0,18.1,0.0,0.713,6.208,95.0,2.2222,24.0,666.0,20.2,100.63,15.17],[0.03041,0.0,5.19,0.0,0.515,5.895,59.6,5.615,5.0,224.0,20.2,394.81,10.56],[24.3938,0.0,18.1,0.0,0.7,4.652,100.0,1.4672,24.0,666.0,20.2,396.9,28.28],[0.06263,0.0,11.93,0.0,0.573,6.593,69.1,2.4786,1.0,273.0,21.0,391.99,9.67],[0.38735,0.0,25.65,0.0,0.581,5.613,95.6,1.7572,2.0,188.0,19.1,359.29,27.26],[0.76162,20.0,3.97,0.0,0.647,5.56,62.8,1.9865,5.0,264.0,13.0,392.4,10.45],[8.15174,0.0,18.1,0.0,0.7,5.39,98.9,1.7281,24.0,666.0,20.2,396.9,20.85],[0.62976,0.0,8.14,0.0,0.538,5.949,61.8,4.7075,4.0,307.0,21.0,396.9,8.26],[0.6147,0.0,6.2,0.0,0.507,6.618,80.8,3.2721,8.0,307.0,17.4,396.9,7.6],[0.09604,40.0,6.41,0.0,0.447,6.854,42.8,4.2673,4.0,254.0,17.6,396.9,2.98],[2.24236,0.0,19.58,0.0,0.605,5.854,91.8,2.422,5.0,403.0,14.7,395.11,11.64],[0.08707,0.0,12.83,0.0,0.437,6.14,45.8,4.0905,5.0,398.0,18.7,386.96,10.27],[4.83567,0.0,18.1,0.0,0.583,5.905,53.2,3.1523,24.0,666.0,20.2,388.22,11.45],[0.08187,0.0,2.89,0.0,0.445,7.82,36.9,3.4952,2.0,276.0,18.0,393.53,3.57],[0.04932,33.0,2.18,0.0,0.472,6.849,70.3,3.1827,7.0,222.0,18.4,396.9,7.53],[0.1712,0.0,8.56,0.0,0.52,5.836,91.9,2.211,5.0,384.0,20.9,395.67,18.66],[0.03445,82.5,2.03,0.0,0.415,6.162,38.4,6.27,2.0,348.0,14.7,393.77,7.43],[0.24522,0.0,9.9,0.0,0.544,5.782,71.7,4.0317,4.0,304.0,18.4,396.9,15.94],[4.64689,0.0,18.1,0.0,0.614,6.98,67.6,2.5329,24.0,666.0,20.2,374.68,11.66],[0.28955,0.0,10.59,0.0,0.489,5.412,9.8,3.5875,4.0,277.0,18.6,348.93,29.55],[0.06642,0.0,4.05,0.0,0.51,6.86,74.4,2.9153,5.0,296.0,16.6,391.27,6.92],[0.7842,0.0,8.14,0.0,0.538,5.99,81.7,4.2579,4.0,307.0,21.0,386.75,14.67],[6.39312,0.0,18.1,0.0,0.584,6.162,97.4,2.206,24.0,666.0,20.2,302.76,24.1],[0.09068,45.0,3.44,0.0,0.437,6.951,21.5,6.4798,5.0,398.0,15.2,377.68,5.1],[20.7162,0.0,18.1,0.0,0.659,4.138,100.0,1.1781,24.0,666.0,20.2,370.22,23.34],[0.01538,90.0,3.75,0.0,0.394,7.454,34.2,6.3361,3.0,244.0,15.9,386.34,3.11],[0.08664,45.0,3.44,0.0,0.437,7.178,26.3,6.4798,5.0,398.0,15.2,390.49,2.87],[0.06899,0.0,25.65,0.0,0.581,5.87,69.7,2.2577,2.0,188.0,19.1,389.15,14.37],[0.7258,0.0,8.14,0.0,0.538,5.727,69.5,3.7965,4.0,307.0,21.0,390.95,11.28],[0.03548,80.0,3.64,0.0,0.392,5.876,19.1,9.2203,1.0,315.0,16.4,395.18,9.25],[0.17899,0.0,9.69,0.0,0.585,5.67,28.8,2.7986,6.0,391.0,19.2,393.29,17.6],[22.0511,0.0,18.1,0.0,0.74,5.818,92.4,1.8662,24.0,666.0,20.2,391.45,22.11],[1.25179,0.0,8.14,0.0,0.538,5.57,98.1,3.7979,4.0,307.0,21.0,376.57,21.02],[0.3494,0.0,9.9,0.0,0.544,5.972,76.7,3.1025,4.0,304.0,18.4,396.24,9.97],[7.67202,0.0,18.1,0.0,0.693,5.747,98.9,1.6334,24.0,666.0,20.2,393.1,19.92],[0.08308,0.0,2.46,0.0,0.488,5.604,89.8,2.9879,3.0,193.0,17.8,391.0,13.98],[0.02498,0.0,1.89,0.0,0.518,6.54,59.7,6.2669,1.0,422.0,15.9,389.96,8.65],[0.08244,30.0,4.93,0.0,0.428,6.481,18.5,6.1899,6.0,300.0,16.6,379.41,6.36],[0.15876,0.0,10.81,0.0,0.413,5.961,17.5,5.2873,4.0,305.0,19.2,376.94,9.88],[0.44178,0.0,6.2,0.0,0.504,6.552,21.4,3.3751,8.0,307.0,17.4,380.34,3.76],[0.14866,0.0,8.56,0.0,0.52,6.727,79.9,2.7778,5.0,384.0,20.9,394.76,9.42],[11.1604,0.0,18.1,0.0,0.74,6.629,94.6,2.1247,24.0,666.0,20.2,109.85,23.27],[1.46336,0.0,19.58,0.0,0.605,7.489,90.8,1.9709,5.0,403.0,14.7,374.43,1.73],[0.37578,0.0,10.59,1.0,0.489,5.404,88.6,3.665,4.0,277.0,18.6,395.24,23.98],[0.08829,12.5,7.87,0.0,0.524,6.012,66.6,5.5605,5.0,311.0,15.2,395.6,12.43],[3.47428,0.0,18.1,1.0,0.718,8.78,82.9,1.9047,24.0,666.0,20.2,354.55,5.29],[15.5757,0.0,18.1,0.0,0.58,5.926,71.0,2.9084,24.0,666.0,20.2,368.74,18.13],[0.1676,0.0,7.38,0.0,0.493,6.426,52.3,4.5404,5.0,287.0,19.6,396.9,7.2],[0.12816,12.5,6.07,0.0,0.409,5.885,33.0,6.498,4.0,345.0,18.9,396.9,8.79],[0.59005,0.0,21.89,0.0,0.624,6.372,97.9,2.3274,4.0,437.0,21.2,385.76,11.12],[0.26838,0.0,9.69,0.0,0.585,5.794,70.6,2.8927,6.0,391.0,19.2,396.9,14.1],[0.19802,0.0,10.59,0.0,0.489,6.182,42.4,3.9454,4.0,277.0,18.6,393.63,9.47],[7.83932,0.0,18.1,0.0,0.655,6.209,65.4,2.9634,24.0,666.0,20.2,396.9,13.22],[0.10084,0.0,10.01,0.0,0.547,6.715,81.6,2.6775,6.0,432.0,17.8,395.59,10.16],[0.10153,0.0,12.83,0.0,0.437,6.279,74.5,4.0522,5.0,398.0,18.7,373.66,11.97],[3.8497,0.0,18.1,1.0,0.77,6.395,91.0,2.5052,24.0,666.0,20.2,391.34,13.27],[0.25915,0.0,21.89,0.0,0.624,5.693,96.0,1.7883,4.0,437.0,21.2,392.11,17.19],[0.03537,34.0,6.09,0.0,0.433,6.59,40.4,5.4917,7.0,329.0,16.1,395.75,9.5],[1.05393,0.0,8.14,0.0,0.538,5.935,29.3,4.4986,4.0,307.0,21.0,386.85,6.58],[0.66351,20.0,3.97,0.0,0.647,7.333,100.0,1.8946,5.0,264.0,13.0,383.29,7.79],[0.19539,0.0,10.81,0.0,0.413,6.245,6.2,5.2873,4.0,305.0,19.2,377.17,7.54],[0.0459,52.5,5.32,0.0,0.405,6.315,45.6,7.3172,6.0,293.0,16.6,396.9,7.6],[0.11504,0.0,2.89,0.0,0.445,6.163,69.6,3.4952,2.0,276.0,18.0,391.83,11.34],[15.8744,0.0,18.1,0.0,0.671,6.545,99.1,1.5192,24.0,666.0,20.2,396.9,21.08],[0.22438,0.0,9.69,0.0,0.585,6.027,79.7,2.4982,6.0,391.0,19.2,396.9,14.33],[0.05602,0.0,2.46,0.0,0.488,7.831,53.6,3.1992,3.0,193.0,17.8,392.63,4.45],[7.36711,0.0,18.1,0.0,0.679,6.193,78.1,1.9356,24.0,666.0,20.2,96.73,21.52],[0.05083,0.0,5.19,0.0,0.515,6.316,38.1,6.4584,5.0,224.0,20.2,389.71,5.68],[3.67367,0.0,18.1,0.0,0.583,6.312,51.9,3.9917,24.0,666.0,20.2,388.62,10.58],[4.42228,0.0,18.1,0.0,0.584,6.003,94.5,2.5403,24.0,666.0,20.2,331.29,21.32],[4.87141,0.0,18.1,0.0,0.614,6.484,93.6,2.3053,24.0,666.0,20.2,396.21,18.68],[0.88125,0.0,21.89,0.0,0.624,5.637,94.7,1.9799,4.0,437.0,21.2,396.9,18.34],[0.05059,0.0,4.49,0.0,0.449,6.389,48.0,4.7794,3.0,247.0,18.5,396.9,9.62],[9.72418,0.0,18.1,0.0,0.74,6.406,97.2,2.0651,24.0,666.0,20.2,385.96,19.52],[0.44791,0.0,6.2,1.0,0.507,6.726,66.5,3.6519,8.0,307.0,17.4,360.2,8.05],[0.82526,20.0,3.97,0.0,0.647,7.327,94.5,2.0788,5.0,264.0,13.0,393.42,11.25],[0.03502,80.0,4.95,0.0,0.411,6.861,27.9,5.1167,4.0,245.0,19.2,396.9,3.33],[0.04301,80.0,1.91,0.0,0.413,5.663,21.9,10.5857,4.0,334.0,22.0,382.8,8.05],[5.09017,0.0,18.1,0.0,0.713,6.297,91.8,2.3682,24.0,666.0,20.2,385.09,17.27],[1.35472,0.0,8.14,0.0,0.538,6.072,100.0,4.175,4.0,307.0,21.0,376.73,13.04],[0.02009,95.0,2.68,0.0,0.4161,8.034,31.9,5.118,4.0,224.0,14.7,390.55,2.88],[15.0234,0.0,18.1,0.0,0.614,5.304,97.3,2.1007,24.0,666.0,20.2,349.48,24.91],[51.1358,0.0,18.1,0.0,0.597,5.757,100.0,1.413,24.0,666.0,20.2,2.6,10.11],[3.83684,0.0,18.1,0.0,0.77,6.251,91.1,2.2955,24.0,666.0,20.2,350.65,14.19],[0.80271,0.0,8.14,0.0,0.538,5.456,36.6,3.7965,4.0,307.0,21.0,288.99,11.69],[0.26169,0.0,9.9,0.0,0.544,6.023,90.4,2.834,4.0,304.0,18.4,396.3,11.72],[0.08199,0.0,13.92,0.0,0.437,6.009,42.3,5.5027,4.0,289.0,16.0,396.9,10.4],[0.13117,0.0,8.56,0.0,0.52,6.127,85.2,2.1224,5.0,384.0,20.9,387.69,14.09],[23.6482,0.0,18.1,0.0,0.671,6.38,96.2,1.3861,24.0,666.0,20.2,396.9,23.69],[14.4208,0.0,18.1,0.0,0.74,6.461,93.3,2.0026,24.0,666.0,20.2,27.49,18.05],[0.57834,20.0,3.97,0.0,0.575,8.297,67.0,2.4216,5.0,264.0,13.0,384.54,7.44],[0.04544,0.0,3.24,0.0,0.46,6.144,32.2,5.8736,4.0,430.0,16.9,368.57,9.09],[0.65665,20.0,3.97,0.0,0.647,6.842,100.0,2.0107,5.0,264.0,13.0,391.93,6.9],[0.03961,0.0,5.19,0.0,0.515,6.037,34.5,5.9853,5.0,224.0,20.2,396.9,8.01],[0.03932,0.0,3.41,0.0,0.489,6.405,73.9,3.0921,2.0,270.0,17.8,393.55,8.2],[1.27346,0.0,19.58,1.0,0.605,6.25,92.6,1.7984,5.0,403.0,14.7,338.92,5.5],[73.5341,0.0,18.1,0.0,0.679,5.957,100.0,1.8026,24.0,666.0,20.2,16.45,20.62],[0.01432,100.0,1.32,0.0,0.411,6.816,40.5,8.3248,5.0,256.0,15.1,392.9,3.95],[0.0795,60.0,1.69,0.0,0.411,6.579,35.9,10.7103,4.0,411.0,18.3,370.78,5.49],[2.77974,0.0,19.58,0.0,0.871,4.903,97.8,1.3459,5.0,403.0,14.7,396.9,29.29],[5.82401,0.0,18.1,0.0,0.532,6.242,64.7,3.4242,24.0,666.0,20.2,396.9,10.74],[9.18702,0.0,18.1,0.0,0.7,5.536,100.0,1.5804,24.0,666.0,20.2,396.9,23.6],[0.05479,33.0,2.18,0.0,0.472,6.616,58.1,3.37,7.0,222.0,18.4,393.36,8.93],[0.32264,0.0,21.89,0.0,0.624,5.942,93.5,1.9669,4.0,437.0,21.2,378.25,16.9],[0.01951,17.5,1.38,0.0,0.4161,7.104,59.5,9.2229,3.0,216.0,18.6,393.24,8.05],[0.0315,95.0,1.47,0.0,0.403,6.975,15.3,7.6534,3.0,402.0,17.0,396.9,4.56],[5.66998,0.0,18.1,1.0,0.631,6.683,96.8,1.3567,24.0,666.0,20.2,375.33,3.73],[3.67822,0.0,18.1,0.0,0.77,5.362,96.2,2.1036,24.0,666.0,20.2,380.79,10.19],[0.51183,0.0,6.2,0.0,0.507,7.358,71.6,4.148,8.0,307.0,17.4,390.07,4.73],[0.25356,0.0,9.9,0.0,0.544,5.705,77.7,3.945,4.0,304.0,18.4,396.42,11.5],[0.09849,0.0,25.65,0.0,0.581,5.879,95.8,2.0063,2.0,188.0,19.1,379.38,17.58],[0.09164,0.0,10.81,0.0,0.413,6.065,7.8,5.2873,4.0,305.0,19.2,390.91,5.52],[0.01381,80.0,0.46,0.0,0.422,7.875,32.0,5.6484,4.0,255.0,14.4,394.23,2.97],[0.30347,0.0,7.38,0.0,0.493,6.312,28.9,5.4159,5.0,287.0,19.6,396.9,6.15],[0.14231,0.0,10.01,0.0,0.547,6.254,84.2,2.2565,6.0,432.0,17.8,388.74,10.45],[0.62739,0.0,8.14,0.0,0.538,5.834,56.5,4.4986,4.0,307.0,21.0,395.62,8.47],[9.92485,0.0,18.1,0.0,0.74,6.251,96.6,2.198,24.0,666.0,20.2,388.52,16.44],[0.77299,0.0,8.14,0.0,0.538,6.495,94.4,4.4547,4.0,307.0,21.0,387.94,12.8],[0.01439,60.0,2.93,0.0,0.401,6.604,18.8,6.2196,1.0,265.0,15.6,376.7,4.38],[0.10469,40.0,6.41,1.0,0.447,7.267,49.0,4.7872,4.0,254.0,17.6,389.25,6.05],[8.49213,0.0,18.1,0.0,0.584,6.348,86.1,2.0527,24.0,666.0,20.2,83.45,17.64],[8.64476,0.0,18.1,0.0,0.693,6.193,92.6,1.7912,24.0,666.0,20.2,396.9,15.17],[0.03427,0.0,5.19,0.0,0.515,5.869,46.3,5.2311,5.0,224.0,20.2,396.9,9.8],[0.54011,20.0,3.97,0.0,0.647,7.203,81.8,2.1121,5.0,264.0,13.0,392.8,9.59],[0.10793,0.0,8.56,0.0,0.52,6.195,54.4,2.7778,5.0,384.0,20.9,393.49,13.0],[2.37857,0.0,18.1,0.0,0.583,5.871,41.9,3.724,24.0,666.0,20.2,370.73,13.34],[0.25199,0.0,10.59,0.0,0.489,5.783,72.7,4.3549,4.0,277.0,18.6,389.43,18.06],[0.05646,0.0,12.83,0.0,0.437,6.232,53.7,5.0141,5.0,398.0,18.7,386.4,12.34],[7.02259,0.0,18.1,0.0,0.718,6.006,95.3,1.8746,24.0,666.0,20.2,319.98,15.7],[0.06617,0.0,3.24,0.0,0.46,5.868,25.8,5.2146,4.0,430.0,16.9,382.44,9.97],[0.08447,0.0,4.05,0.0,0.51,5.859,68.7,2.7019,5.0,296.0,16.6,393.23,9.64],[0.1396,0.0,8.56,0.0,0.52,6.167,90.0,2.421,5.0,384.0,20.9,392.69,12.33],[15.8603,0.0,18.1,0.0,0.679,5.896,95.4,1.9096,24.0,666.0,20.2,7.68,24.39],[0.06162,0.0,4.39,0.0,0.442,5.898,52.3,8.0136,3.0,352.0,18.8,364.61,12.67],[1.15172,0.0,8.14,0.0,0.538,5.701,95.0,3.7872,4.0,307.0,21.0,358.77,18.35],[0.41238,0.0,6.2,0.0,0.504,7.163,79.9,3.2157,8.0,307.0,17.4,372.08,6.36],[2.01019,0.0,19.58,0.0,0.605,7.929,96.2,2.0459,5.0,403.0,14.7,369.3,3.7],[18.4982,0.0,18.1,0.0,0.668,4.138,100.0,1.137,24.0,666.0,20.2,396.9,37.97],[0.26938,0.0,9.9,0.0,0.544,6.266,82.8,3.2628,4.0,304.0,18.4,393.39,7.9],[10.233,0.0,18.1,0.0,0.614,6.185,96.7,2.1705,24.0,666.0,20.2,379.7,18.03],[0.02543,55.0,3.78,0.0,0.484,6.696,56.4,5.7321,5.0,370.0,17.6,396.9,7.18],[67.9208,0.0,18.1,0.0,0.693,5.683,100.0,1.4254,24.0,666.0,20.2,384.97,22.98],[0.24103,0.0,7.38,0.0,0.493,6.083,43.7,5.4159,5.0,287.0,19.6,396.9,12.79],[2.924,0.0,19.58,0.0,0.605,6.101,93.0,2.2834,5.0,403.0,14.7,240.16,9.81],[0.52014,20.0,3.97,0.0,0.647,8.398,91.5,2.2885,5.0,264.0,13.0,386.86,5.91],[1.34284,0.0,19.58,0.0,0.605,6.066,100.0,1.7573,5.0,403.0,14.7,353.89,6.43],[6.53876,0.0,18.1,1.0,0.631,7.016,97.5,1.2024,24.0,666.0,20.2,392.05,2.96],[5.66637,0.0,18.1,0.0,0.74,6.219,100.0,2.0048,24.0,666.0,20.2,395.69,16.59],[0.21124,12.5,7.87,0.0,0.524,5.631,100.0,6.0821,5.0,311.0,15.2,386.63,29.93],[0.03466,35.0,6.06,0.0,0.4379,6.031,23.3,6.6407,1.0,304.0,16.9,362.25,7.83],[4.34879,0.0,18.1,0.0,0.58,6.167,84.0,3.0334,24.0,666.0,20.2,396.9,16.29],[2.73397,0.0,19.58,0.0,0.871,5.597,94.9,1.5257,5.0,403.0,14.7,351.85,21.45],[22.5971,0.0,18.1,0.0,0.7,5.0,89.5,1.5184,24.0,666.0,20.2,396.9,31.99],[10.0623,0.0,18.1,0.0,0.584,6.833,94.3,2.0882,24.0,666.0,20.2,81.33,19.69],[5.70818,0.0,18.1,0.0,0.532,6.75,74.9,3.3317,24.0,666.0,20.2,393.07,7.74],[0.04527,0.0,11.93,0.0,0.573,6.12,76.7,2.2875,1.0,273.0,21.0,396.9,9.08],[0.12579,45.0,3.44,0.0,0.437,6.556,29.1,4.5667,5.0,398.0,15.2,382.84,4.56],[37.6619,0.0,18.1,0.0,0.679,6.202,78.7,1.8629,24.0,666.0,20.2,18.82,14.52],[4.22239,0.0,18.1,1.0,0.77,5.803,89.0,1.9047,24.0,666.0,20.2,353.04,14.64],[0.22876,0.0,8.56,0.0,0.52,6.405,85.4,2.7147,5.0,384.0,20.9,70.8,10.63],[0.03768,80.0,1.52,0.0,0.404,7.274,38.3,7.309,2.0,329.0,12.6,392.2,6.62],[0.35233,0.0,21.89,0.0,0.624,6.454,98.4,1.8498,4.0,437.0,21.2,394.08,14.59],[1.12658,0.0,19.58,1.0,0.871,5.012,88.0,1.6102,5.0,403.0,14.7,343.28,12.12],[9.2323,0.0,18.1,0.0,0.631,6.216,100.0,1.1691,24.0,666.0,20.2,366.15,9.53],[0.22969,0.0,10.59,0.0,0.489,6.326,52.5,4.3549,4.0,277.0,18.6,394.87,10.97],[1.22358,0.0,19.58,0.0,0.605,6.943,97.4,1.8773,5.0,403.0,14.7,363.43,4.59],[45.7461,0.0,18.1,0.0,0.693,4.519,100.0,1.6582,24.0,666.0,20.2,88.27,36.98],[0.09378,12.5,7.87,0.0,0.524,5.889,39.0,5.4509,5.0,311.0,15.2,390.5,15.71],[2.37934,0.0,19.58,0.0,0.871,6.13,100.0,1.4191,5.0,403.0,14.7,172.91,27.8],[0.05497,0.0,5.19,0.0,0.515,5.985,45.4,4.8122,5.0,224.0,20.2,396.9,9.74],[0.17142,0.0,6.91,0.0,0.448,5.682,33.8,5.1004,3.0,233.0,17.9,396.9,10.21],[0.06127,40.0,6.41,1.0,0.447,6.826,27.6,4.8628,4.0,254.0,17.6,393.45,4.16],[14.0507,0.0,18.1,0.0,0.597,6.657,100.0,1.5275,24.0,666.0,20.2,35.05,21.22],[28.6558,0.0,18.1,0.0,0.597,5.155,100.0,1.5894,24.0,666.0,20.2,210.97,20.08],[0.63796,0.0,8.14,0.0,0.538,6.096,84.5,4.4619,4.0,307.0,21.0,380.02,10.26],[5.87205,0.0,18.1,0.0,0.693,6.405,96.0,1.6768,24.0,666.0,20.2,396.9,19.37],[0.18337,0.0,27.74,0.0,0.609,5.414,98.3,1.7554,4.0,711.0,20.1,344.05,23.97],[0.29819,0.0,6.2,0.0,0.504,7.686,17.0,3.3751,8.0,307.0,17.4,377.51,3.92],[0.53412,20.0,3.97,0.0,0.647,7.52,89.4,2.1398,5.0,264.0,13.0,388.37,7.26],[0.21719,0.0,10.59,1.0,0.489,5.807,53.8,3.6526,4.0,277.0,18.6,390.94,16.03],[0.16211,20.0,6.96,0.0,0.464,6.24,16.3,4.429,3.0,223.0,18.6,396.9,6.59],[0.11069,0.0,13.89,1.0,0.55,5.951,93.8,2.8893,5.0,276.0,16.4,396.9,17.92],[0.06905,0.0,2.18,0.0,0.458,7.147,54.2,6.0622,3.0,222.0,18.7,396.9,5.33],[1.51902,0.0,19.58,1.0,0.605,8.375,93.9,2.162,5.0,403.0,14.7,388.45,3.32],[0.02177,82.5,2.03,0.0,0.415,7.61,15.7,6.27,2.0,348.0,14.7,395.38,3.11],[5.73116,0.0,18.1,0.0,0.532,7.061,77.0,3.4106,24.0,666.0,20.2,395.28,7.01],[0.67191,0.0,8.14,0.0,0.538,5.813,90.3,4.682,4.0,307.0,21.0,376.88,14.81],[0.04379,80.0,3.37,0.0,0.398,5.787,31.1,6.6115,4.0,337.0,16.1,396.9,10.24],[7.05042,0.0,18.1,0.0,0.614,6.103,85.1,2.0218,24.0,666.0,20.2,2.52,23.29],[0.28392,0.0,7.38,0.0,0.493,5.708,74.3,4.7211,5.0,287.0,19.6,391.13,11.74],[3.69311,0.0,18.1,0.0,0.713,6.376,88.4,2.5671,24.0,666.0,20.2,391.43,14.65],[6.28807,0.0,18.1,0.0,0.74,6.341,96.4,2.072,24.0,666.0,20.2,318.01,17.79],[0.27957,0.0,9.69,0.0,0.585,5.926,42.6,2.3817,6.0,391.0,19.2,396.9,13.59],[5.69175,0.0,18.1,0.0,0.583,6.114,79.8,3.5459,24.0,666.0,20.2,392.68,14.98],[0.09744,0.0,5.96,0.0,0.499,5.841,61.4,3.3779,5.0,279.0,19.2,377.56,11.41],[0.97617,0.0,21.89,0.0,0.624,5.757,98.4,2.346,4.0,437.0,21.2,262.76,17.31],[0.09103,0.0,2.46,0.0,0.488,7.155,92.2,2.7006,3.0,193.0,17.8,394.12,4.82],[0.01709,90.0,2.02,0.0,0.41,6.728,36.1,12.1265,5.0,187.0,17.0,384.46,4.5],[0.05023,35.0,6.06,0.0,0.4379,5.706,28.4,6.6407,1.0,304.0,16.9,394.02,12.43],[13.0751,0.0,18.1,0.0,0.58,5.713,56.7,2.8237,24.0,666.0,20.2,396.9,14.76],[0.12269,0.0,6.91,0.0,0.448,6.069,40.0,5.7209,3.0,233.0,17.9,389.39,9.55],[0.07896,0.0,12.83,0.0,0.437,6.273,6.0,4.2515,5.0,398.0,18.7,394.92,6.78],[8.26725,0.0,18.1,1.0,0.668,5.875,89.6,1.1296,24.0,666.0,20.2,347.88,8.88],[8.98296,0.0,18.1,1.0,0.77,6.212,97.4,2.1222,24.0,666.0,20.2,377.73,17.6],[0.12329,0.0,10.01,0.0,0.547,5.913,92.9,2.3534,6.0,432.0,17.8,394.95,16.21],[0.07978,40.0,6.41,0.0,0.447,6.482,32.1,4.1403,4.0,254.0,17.6,396.9,7.19],[11.1081,0.0,18.1,0.0,0.668,4.906,100.0,1.1742,24.0,666.0,20.2,396.9,34.77],[0.02055,85.0,0.74,0.0,0.41,6.383,35.7,9.1876,2.0,313.0,17.3,396.9,5.77],[0.2909,0.0,21.89,0.0,0.624,6.174,93.6,1.6119,4.0,437.0,21.2,388.08,24.16],[88.9762,0.0,18.1,0.0,0.671,6.968,91.9,1.4165,24.0,666.0,20.2,396.9,17.21],[0.17505,0.0,5.96,0.0,0.499,5.966,30.2,3.8473,5.0,279.0,19.2,393.43,10.13],[0.1403,22.0,5.86,0.0,0.431,6.487,13.0,7.3967,7.0,330.0,19.1,396.28,5.9],[0.05372,0.0,13.92,0.0,0.437,6.549,51.0,5.9604,4.0,289.0,16.0,392.85,7.39],[4.89822,0.0,18.1,0.0,0.631,4.97,100.0,1.3325,24.0,666.0,20.2,375.52,3.26],[4.81213,0.0,18.1,0.0,0.713,6.701,90.0,2.5975,24.0,666.0,20.2,255.23,16.42],[0.35809,0.0,6.2,1.0,0.507,6.951,88.5,2.8617,8.0,307.0,17.4,391.7,9.71],[0.07165,0.0,25.65,0.0,0.581,6.004,84.1,2.1974,2.0,188.0,19.1,377.67,14.27],[0.06047,0.0,2.46,0.0,0.488,6.153,68.8,3.2797,3.0,193.0,17.8,387.11,13.15],[0.0136,75.0,4.0,0.0,0.41,5.888,47.6,7.3197,3.0,469.0,21.1,396.9,14.8],[16.8118,0.0,18.1,0.0,0.7,5.277,98.1,1.4261,24.0,666.0,20.2,396.9,30.81],[0.15086,0.0,27.74,0.0,0.609,5.454,92.7,1.8209,4.0,711.0,20.1,395.09,18.06],[0.13058,0.0,10.01,0.0,0.547,5.872,73.1,2.4775,6.0,432.0,17.8,338.63,15.37],[0.3692,0.0,9.9,0.0,0.544,6.567,87.3,3.6023,4.0,304.0,18.4,395.69,9.28],[0.18159,0.0,7.38,0.0,0.493,6.376,54.3,4.5404,5.0,287.0,19.6,396.9,6.87],[0.06888,0.0,2.46,0.0,0.488,6.144,62.2,2.5979,3.0,193.0,17.8,396.9,9.45],[0.12744,0.0,6.91,0.0,0.448,6.77,2.9,5.7209,3.0,233.0,17.9,385.41,4.84],[5.20177,0.0,18.1,1.0,0.77,6.127,83.4,2.7227,24.0,666.0,20.2,395.43,11.48],[0.11027,25.0,5.13,0.0,0.453,6.456,67.8,7.2255,8.0,284.0,19.7,396.9,6.73],[0.32543,0.0,21.89,0.0,0.624,6.431,98.8,1.8125,4.0,437.0,21.2,396.9,15.39],[2.15505,0.0,19.58,0.0,0.871,5.628,100.0,1.5166,5.0,403.0,14.7,169.27,16.65],[0.33147,0.0,6.2,0.0,0.507,8.247,70.4,3.6519,8.0,307.0,17.4,378.95,3.95],[0.95577,0.0,8.14,0.0,0.538,6.047,88.8,4.4534,4.0,307.0,21.0,306.38,17.28],[1.38799,0.0,8.14,0.0,0.538,5.95,82.0,3.99,4.0,307.0,21.0,232.6,27.71],[0.0566,0.0,3.41,0.0,0.489,7.007,86.3,3.4217,2.0,270.0,17.8,396.9,5.5],[0.22212,0.0,10.01,0.0,0.547,6.092,95.4,2.548,6.0,432.0,17.8,396.9,17.09],[0.55007,20.0,3.97,0.0,0.647,7.206,91.6,1.9301,5.0,264.0,13.0,387.89,8.1],[6.65492,0.0,18.1,0.0,0.713,6.317,83.0,2.7344,24.0,666.0,20.2,396.9,13.99],[0.08221,22.0,5.86,0.0,0.431,6.957,6.8,8.9067,7.0,330.0,19.1,386.09,3.53],[0.05735,0.0,4.49,0.0,0.449,6.63,56.1,4.4377,3.0,247.0,18.5,392.3,6.53],[0.21161,0.0,8.56,0.0,0.52,6.137,87.4,2.7147,5.0,384.0,20.9,394.47,13.44],[6.80117,0.0,18.1,0.0,0.713,6.081,84.4,2.7175,24.0,666.0,20.2,396.9,14.7],[0.06724,0.0,3.24,0.0,0.46,6.333,17.2,5.2146,4.0,430.0,16.9,375.21,7.34],[0.2896,0.0,9.69,0.0,0.585,5.39,72.9,2.7986,6.0,391.0,19.2,396.9,21.14],[0.09252,30.0,4.93,0.0,0.428,6.606,42.2,6.1899,6.0,300.0,16.6,383.78,7.37],[19.6091,0.0,18.1,0.0,0.671,7.313,97.9,1.3163,24.0,666.0,20.2,396.9,13.44],[0.09178,0.0,4.05,0.0,0.51,6.416,84.1,2.6463,5.0,296.0,16.6,395.5,9.04],[0.10328,25.0,5.13,0.0,0.453,5.927,47.2,6.932,8.0,284.0,19.7,396.9,9.22],[0.06417,0.0,5.96,0.0,0.499,5.933,68.2,3.3603,5.0,279.0,19.2,396.9,9.68],[1.13081,0.0,8.14,0.0,0.538,5.713,94.1,4.233,4.0,307.0,21.0,360.17,22.6],[0.0187,85.0,4.15,0.0,0.429,6.516,27.7,8.5353,4.0,351.0,17.9,392.43,6.36],[0.01096,55.0,2.25,0.0,0.389,6.453,31.9,7.3073,1.0,300.0,15.3,394.72,8.23],[0.07244,60.0,1.69,0.0,0.411,5.884,18.5,10.7103,4.0,411.0,18.3,392.33,7.79],[2.81838,0.0,18.1,0.0,0.532,5.762,40.3,4.0983,24.0,666.0,20.2,392.92,10.42],[1.00245,0.0,8.14,0.0,0.538,6.674,87.3,4.239,4.0,307.0,21.0,380.23,11.98],[14.3337,0.0,18.1,0.0,0.614,6.229,88.0,1.9512,24.0,666.0,20.2,383.32,13.11],[1.23247,0.0,8.14,0.0,0.538,6.142,91.7,3.9769,4.0,307.0,21.0,396.9,18.72],[0.03584,80.0,3.37,0.0,0.398,6.29,17.8,6.6115,4.0,337.0,16.1,396.9,4.67],[0.11747,12.5,7.87,0.0,0.524,6.009,82.9,6.2267,5.0,311.0,15.2,396.9,13.27],[0.19073,22.0,5.86,0.0,0.431,6.718,17.5,7.8265,7.0,330.0,19.1,393.74,6.56],[0.02729,0.0,7.07,0.0,0.469,7.185,61.1,4.9671,2.0,242.0,17.8,392.83,4.03],[0.04297,52.5,5.32,0.0,0.405,6.565,22.9,7.3172,6.0,293.0,16.6,371.72,9.51],[0.46296,0.0,6.2,0.0,0.504,7.412,76.9,3.6715,8.0,307.0,17.4,376.14,5.25],[0.07022,0.0,4.05,0.0,0.51,6.02,47.2,3.5549,5.0,296.0,16.6,393.23,10.11],[9.32909,0.0,18.1,0.0,0.713,6.185,98.7,2.2616,24.0,666.0,20.2,396.9,18.13],[0.09299,0.0,25.65,0.0,0.581,5.961,92.9,2.0869,2.0,188.0,19.1,378.09,17.93],[0.03113,0.0,4.39,0.0,0.442,6.014,48.5,8.0136,3.0,352.0,18.8,385.64,10.53],[0.13262,0.0,8.56,0.0,0.52,5.851,96.7,2.1069,5.0,384.0,20.9,394.05,16.47],[0.40771,0.0,6.2,1.0,0.507,6.164,91.3,3.048,8.0,307.0,17.4,395.24,21.46],[0.0837,45.0,3.44,0.0,0.437,7.185,38.9,4.5667,5.0,398.0,15.2,396.9,5.39],[12.8023,0.0,18.1,0.0,0.74,5.854,96.6,1.8956,24.0,666.0,20.2,240.52,23.79],[0.35114,0.0,7.38,0.0,0.493,6.041,49.9,4.7211,5.0,287.0,19.6,396.9,7.7],[24.8017,0.0,18.1,0.0,0.693,5.349,96.0,1.7028,24.0,666.0,20.2,396.9,19.77],[0.03049,55.0,3.78,0.0,0.484,6.874,28.1,6.4654,5.0,370.0,17.6,387.97,4.61],[0.16902,0.0,25.65,0.0,0.581,5.986,88.4,1.9929,2.0,188.0,19.1,385.02,14.81],[0.2498,0.0,21.89,0.0,0.624,5.857,98.2,1.6686,4.0,437.0,21.2,392.04,21.32],[15.288,0.0,18.1,0.0,0.671,6.649,93.3,1.3449,24.0,666.0,20.2,363.02,23.24],[6.96215,0.0,18.1,0.0,0.7,5.713,97.0,1.9265,24.0,666.0,20.2,394.43,17.11],[0.0686,0.0,2.89,0.0,0.445,7.416,62.5,3.4952,2.0,276.0,18.0,396.9,6.19],[8.05579,0.0,18.1,0.0,0.584,5.427,95.4,2.4298,24.0,666.0,20.2,352.58,18.14],[0.1029,30.0,4.93,0.0,0.428,6.358,52.9,7.0355,6.0,300.0,16.6,372.75,11.22],[5.58107,0.0,18.1,0.0,0.713,6.436,87.9,2.3158,24.0,666.0,20.2,100.19,16.22],[1.83377,0.0,19.58,1.0,0.605,7.802,98.2,2.0407,5.0,403.0,14.7,389.61,1.92],[0.12757,30.0,4.93,0.0,0.428,6.393,7.8,7.0355,6.0,300.0,16.6,374.71,5.19],[0.05302,0.0,3.41,0.0,0.489,7.079,63.1,3.4145,2.0,270.0,17.8,396.06,5.7],[0.85204,0.0,8.14,0.0,0.538,5.965,89.2,4.0123,4.0,307.0,21.0,392.53,13.83],[0.1265,25.0,5.13,0.0,0.453,6.762,43.4,7.9809,8.0,284.0,19.7,395.58,9.5],[14.4383,0.0,18.1,0.0,0.597,6.852,100.0,1.4655,24.0,666.0,20.2,179.36,19.78],[0.5405,20.0,3.97,0.0,0.575,7.47,52.6,2.872,5.0,264.0,13.0,390.3,3.16],[12.2472,0.0,18.1,0.0,0.584,5.837,59.7,1.9976,24.0,666.0,20.2,24.65,15.69],[0.06588,0.0,2.46,0.0,0.488,7.765,83.3,2.741,3.0,193.0,17.8,395.56,7.56],[0.03551,25.0,4.86,0.0,0.426,6.167,46.7,5.4007,4.0,281.0,19.0,390.64,7.51],[13.6781,0.0,18.1,0.0,0.74,5.935,87.9,1.8206,24.0,666.0,20.2,68.95,34.02],[7.52601,0.0,18.1,0.0,0.713,6.417,98.3,2.185,24.0,666.0,20.2,304.21,19.31],[0.98843,0.0,8.14,0.0,0.538,5.813,100.0,4.0952,4.0,307.0,21.0,394.54,19.88],[9.33889,0.0,18.1,0.0,0.679,6.38,95.6,1.9682,24.0,666.0,20.2,60.72,24.08],[0.04666,80.0,1.52,0.0,0.404,7.107,36.6,7.309,2.0,329.0,12.6,354.31,8.61],[0.12802,0.0,8.56,0.0,0.52,6.474,97.1,2.4329,5.0,384.0,20.9,395.24,12.27],[0.31827,0.0,9.9,0.0,0.544,5.914,83.2,3.9986,4.0,304.0,18.4,390.7,18.33],[0.07151,0.0,4.49,0.0,0.449,6.121,56.8,3.7476,3.0,247.0,18.5,395.15,8.44],[0.25387,0.0,6.91,0.0,0.448,5.399,95.3,5.87,3.0,233.0,17.9,396.9,30.81],[0.18836,0.0,6.91,0.0,0.448,5.786,33.3,5.1004,3.0,233.0,17.9,396.9,14.15],[0.10612,30.0,4.93,0.0,0.428,6.095,65.1,6.3361,6.0,300.0,16.6,394.62,12.4],[0.0578,0.0,2.46,0.0,0.488,6.98,58.4,2.829,3.0,193.0,17.8,396.9,5.04],[0.36894,22.0,5.86,0.0,0.431,8.259,8.4,8.9067,7.0,330.0,19.1,396.9,3.54],[8.20058,0.0,18.1,0.0,0.713,5.936,80.3,2.7792,24.0,666.0,20.2,3.5,16.94],[4.55587,0.0,18.1,0.0,0.718,3.561,87.9,1.6132,24.0,666.0,20.2,354.7,7.12],[5.82115,0.0,18.1,0.0,0.713,6.513,89.9,2.8016,24.0,666.0,20.2,393.82,10.29],[0.7857,20.0,3.97,0.0,0.647,7.014,84.6,2.1329,5.0,264.0,13.0,384.07,14.79],[0.03705,20.0,3.33,0.0,0.4429,6.968,37.2,5.2447,5.0,216.0,14.9,392.23,4.59],[38.3518,0.0,18.1,0.0,0.693,5.453,100.0,1.4896,24.0,666.0,20.2,396.9,30.59],[0.05515,33.0,2.18,0.0,0.472,7.236,41.1,4.022,7.0,222.0,18.4,393.68,6.93],[0.02731,0.0,7.07,0.0,0.469,6.421,78.9,4.9671,2.0,242.0,17.8,396.9,9.14],[0.52058,0.0,6.2,1.0,0.507,6.631,76.5,4.148,8.0,307.0,17.4,388.45,9.54],[25.0461,0.0,18.1,0.0,0.693,5.987,100.0,1.5888,24.0,666.0,20.2,396.9,26.77],[0.01311,90.0,1.22,0.0,0.403,7.249,21.9,8.6966,5.0,226.0,17.9,395.93,4.81],[0.1146,20.0,6.96,0.0,0.464,6.538,58.7,3.9175,3.0,223.0,18.6,394.96,7.73],[4.0974,0.0,19.58,0.0,0.871,5.468,100.0,1.4118,5.0,403.0,14.7,396.9,26.42],[1.19294,0.0,21.89,0.0,0.624,6.326,97.7,2.271,4.0,437.0,21.2,396.9,12.26],[14.3337,0.0,18.1,0.0,0.7,4.88,100.0,1.5895,24.0,666.0,20.2,372.92,30.62],[0.47547,0.0,9.9,0.0,0.544,6.113,58.8,4.0019,4.0,304.0,18.4,396.23,12.73],[0.09266,34.0,6.09,0.0,0.433,6.495,18.4,5.4917,7.0,329.0,16.1,383.61,8.67],[7.99248,0.0,18.1,0.0,0.7,5.52,100.0,1.5331,24.0,666.0,20.2,396.9,24.56],[0.34109,0.0,7.38,0.0,0.493,6.415,40.1,4.7211,5.0,287.0,19.6,396.9,6.12],[0.09512,0.0,12.83,0.0,0.437,6.286,45.0,4.5026,5.0,398.0,18.7,383.23,8.94],[9.59571,0.0,18.1,0.0,0.693,6.404,100.0,1.639,24.0,666.0,20.2,376.11,20.31],[0.04684,0.0,3.41,0.0,0.489,6.417,66.1,3.0923,2.0,270.0,17.8,392.18,8.81],[2.3139,0.0,19.58,0.0,0.605,5.88,97.3,2.3887,5.0,403.0,14.7,348.13,12.03],[0.0351,95.0,2.68,0.0,0.4161,7.853,33.2,5.118,4.0,224.0,14.7,392.78,3.81],[0.03237,0.0,2.18,0.0,0.458,6.998,45.8,6.0622,3.0,222.0,18.7,394.63,2.94],[0.33983,22.0,5.86,0.0,0.431,6.108,34.9,8.0555,7.0,330.0,19.1,390.18,9.16],[1.6566,0.0,19.58,0.0,0.871,6.122,97.3,1.618,5.0,403.0,14.7,372.8,14.1],[0.0456,0.0,13.89,1.0,0.55,5.888,56.0,3.1121,5.0,276.0,16.4,392.8,13.51],[0.06911,45.0,3.44,0.0,0.437,6.739,30.8,6.4798,5.0,398.0,15.2,389.71,4.69],[0.14476,0.0,10.01,0.0,0.547,5.731,65.2,2.7592,6.0,432.0,17.8,391.5,13.61],[0.537,0.0,6.2,0.0,0.504,5.981,68.1,3.6715,8.0,307.0,17.4,378.35,11.65],[0.00906,90.0,2.97,0.0,0.4,7.088,20.8,7.3073,1.0,285.0,15.3,394.72,7.85],[0.12083,0.0,2.89,0.0,0.445,8.069,76.0,3.4952,2.0,276.0,18.0,396.9,4.21],[9.91655,0.0,18.1,0.0,0.693,5.852,77.8,1.5004,24.0,666.0,20.2,338.16,29.97],[0.08387,0.0,12.83,0.0,0.437,5.874,36.6,4.5026,5.0,398.0,18.7,396.06,9.1],[0.19657,22.0,5.86,0.0,0.431,6.226,79.2,8.0555,7.0,330.0,19.1,376.14,10.15],[0.03359,75.0,2.95,0.0,0.428,7.024,15.8,5.4011,3.0,252.0,18.3,395.62,1.98],[6.44405,0.0,18.1,0.0,0.584,6.425,74.8,2.2004,24.0,666.0,20.2,97.95,12.03],[1.41385,0.0,19.58,1.0,0.871,6.129,96.0,1.7494,5.0,403.0,14.7,321.02,15.12],[2.33099,0.0,19.58,0.0,0.871,5.186,93.8,1.5296,5.0,403.0,14.7,356.99,28.32],[11.8123,0.0,18.1,0.0,0.718,6.824,76.5,1.794,24.0,666.0,20.2,48.45,22.74],[0.33045,0.0,6.2,0.0,0.507,6.086,61.5,3.6519,8.0,307.0,17.4,376.75,10.88],[0.02899,40.0,1.25,0.0,0.429,6.939,34.5,8.7921,1.0,335.0,19.7,389.85,5.89],[9.96654,0.0,18.1,0.0,0.74,6.485,100.0,1.9784,24.0,666.0,20.2,386.73,18.85],[0.02763,75.0,2.95,0.0,0.428,6.595,21.8,5.4011,3.0,252.0,18.3,395.63,4.32],[0.32982,0.0,21.89,0.0,0.624,5.822,95.4,2.4699,4.0,437.0,21.2,388.69,15.03],[0.00632,18.0,2.31,0.0,0.538,6.575,65.2,4.09,1.0,296.0,15.3,396.9,4.98],[0.04113,25.0,4.86,0.0,0.426,6.727,33.5,5.4007,4.0,281.0,19.0,396.9,5.29],[0.04417,70.0,2.24,0.0,0.4,6.871,47.4,7.8278,5.0,358.0,14.8,390.86,6.07],[10.8342,0.0,18.1,0.0,0.679,6.782,90.8,1.8195,24.0,666.0,20.2,21.57,25.79],[5.44114,0.0,18.1,0.0,0.713,6.655,98.2,2.3552,24.0,666.0,20.2,355.29,17.73],[0.22927,0.0,6.91,0.0,0.448,6.03,85.5,5.6894,3.0,233.0,17.9,392.74,18.8],[0.11132,0.0,27.74,0.0,0.609,5.983,83.5,2.1099,4.0,711.0,20.1,396.9,13.35],[0.01301,35.0,1.52,0.0,0.442,7.241,49.3,7.0379,1.0,284.0,15.5,394.74,5.49],[0.11432,0.0,8.56,0.0,0.52,6.781,71.3,2.8561,5.0,384.0,20.9,395.58,7.67],[0.17134,0.0,10.01,0.0,0.547,5.928,88.2,2.4631,6.0,432.0,17.8,344.91,15.76],[0.04337,21.0,5.64,0.0,0.439,6.115,63.0,6.8147,4.0,243.0,16.8,393.97,9.43],[13.3598,0.0,18.1,0.0,0.693,5.887,94.7,1.7821,24.0,666.0,20.2,396.9,16.35],[0.34006,0.0,21.89,0.0,0.624,6.458,98.9,2.1185,4.0,437.0,21.2,395.04,12.6],[1.20742,0.0,19.58,0.0,0.605,5.875,94.6,2.4259,5.0,403.0,14.7,292.29,14.43],[0.01778,95.0,1.47,0.0,0.403,7.135,13.9,7.6534,3.0,402.0,17.0,384.3,4.45],[8.24809,0.0,18.1,0.0,0.713,7.393,99.3,2.4527,24.0,666.0,20.2,375.87,16.74],[2.3004,0.0,19.58,0.0,0.605,6.319,96.1,2.1,5.0,403.0,14.7,297.09,11.1],[1.49632,0.0,19.58,0.0,0.871,5.404,100.0,1.5916,5.0,403.0,14.7,341.6,13.28],[8.79212,0.0,18.1,0.0,0.584,5.565,70.6,2.0635,24.0,666.0,20.2,3.65,17.16],[0.14932,25.0,5.13,0.0,0.453,5.741,66.2,7.2254,8.0,284.0,19.7,395.11,13.15],[0.08014,0.0,5.96,0.0,0.499,5.85,41.5,3.9342,5.0,279.0,19.2,396.9,8.77],[11.9511,0.0,18.1,0.0,0.659,5.608,100.0,1.2852,24.0,666.0,20.2,332.09,12.13],[0.06466,70.0,2.24,0.0,0.4,6.345,20.1,7.8278,5.0,358.0,14.8,368.24,4.97],[0.21038,20.0,3.33,0.0,0.4429,6.812,32.2,4.1007,5.0,216.0,14.9,396.9,4.85],[2.44668,0.0,19.58,0.0,0.871,5.272,94.0,1.7364,5.0,403.0,14.7,88.63,16.14],[0.08826,0.0,10.81,0.0,0.413,6.417,6.6,5.2873,4.0,305.0,19.2,383.73,6.72],[0.05425,0.0,4.05,0.0,0.51,6.315,73.4,3.3175,5.0,296.0,16.6,395.6,6.29],[0.52693,0.0,6.2,0.0,0.504,8.725,83.0,2.8944,8.0,307.0,17.4,382.0,4.63],[0.10008,0.0,2.46,0.0,0.488,6.563,95.6,2.847,3.0,193.0,17.8,396.9,5.68],[0.02875,28.0,15.04,0.0,0.464,6.211,28.9,3.6659,4.0,270.0,18.2,396.33,6.21],[1.42502,0.0,19.58,0.0,0.871,6.51,100.0,1.7659,5.0,403.0,14.7,364.31,7.39],[0.1,34.0,6.09,0.0,0.433,6.982,17.7,5.4917,7.0,329.0,16.1,390.43,4.86],[9.82349,0.0,18.1,0.0,0.671,6.794,98.8,1.358,24.0,666.0,20.2,396.9,21.24],[0.19133,22.0,5.86,0.0,0.431,5.605,70.2,7.9549,7.0,330.0,19.1,389.13,18.46],[0.11425,0.0,13.89,1.0,0.55,6.373,92.4,3.3633,5.0,276.0,16.4,393.74,10.5],[0.07875,45.0,3.44,0.0,0.437,6.782,41.1,3.7886,5.0,398.0,15.2,393.87,6.68],[0.05644,40.0,6.41,1.0,0.447,6.758,32.9,4.0776,4.0,254.0,17.6,396.9,3.53],[0.04294,28.0,15.04,0.0,0.464,6.249,77.3,3.615,4.0,270.0,18.2,396.9,10.59],[0.21977,0.0,6.91,0.0,0.448,5.602,62.0,6.0877,3.0,233.0,17.9,396.9,16.2],[0.31533,0.0,6.2,0.0,0.504,8.266,78.3,2.8944,8.0,307.0,17.4,385.05,4.14],[0.07886,80.0,4.95,0.0,0.411,7.148,27.7,5.1167,4.0,245.0,19.2,396.9,3.56],[0.10659,80.0,1.91,0.0,0.413,5.936,19.5,10.5857,4.0,334.0,22.0,376.04,5.57],[0.01501,90.0,1.21,1.0,0.401,7.923,24.8,5.885,1.0,198.0,13.6,395.52,3.16],[0.02985,0.0,2.18,0.0,0.458,6.43,58.7,6.0622,3.0,222.0,18.7,394.12,5.21],[0.22188,20.0,6.96,1.0,0.464,7.691,51.8,4.3665,3.0,223.0,18.6,390.77,6.58],[0.06211,40.0,1.25,0.0,0.429,6.49,44.4,8.7921,1.0,335.0,19.7,396.9,5.98],[0.19186,0.0,7.38,0.0,0.493,6.431,14.7,5.4159,5.0,287.0,19.6,393.68,5.08],[0.04011,80.0,1.52,0.0,0.404,7.287,34.1,7.309,2.0,329.0,12.6,396.9,4.08],[0.13554,12.5,6.07,0.0,0.409,5.594,36.8,6.498,4.0,345.0,18.9,396.9,13.09],[0.03306,0.0,5.19,0.0,0.515,6.059,37.3,4.8122,5.0,224.0,20.2,396.14,8.51],[0.11329,30.0,4.93,0.0,0.428,6.897,54.3,6.3361,6.0,300.0,16.6,391.25,11.38],[0.13914,0.0,4.05,0.0,0.51,5.572,88.5,2.5961,5.0,296.0,16.6,396.9,14.69],[0.03659,25.0,4.86,0.0,0.426,6.302,32.2,5.4007,4.0,281.0,19.0,396.9,6.72],[0.13158,0.0,10.01,0.0,0.547,6.176,72.5,2.7301,6.0,432.0,17.8,393.3,12.04],[13.5222,0.0,18.1,0.0,0.631,3.863,100.0,1.5106,24.0,666.0,20.2,131.42,13.33],[0.04462,25.0,4.86,0.0,0.426,6.619,70.4,5.4007,4.0,281.0,19.0,395.63,7.22],[0.15936,0.0,6.91,0.0,0.448,6.211,6.5,5.7209,3.0,233.0,17.9,394.46,7.44],[3.77498,0.0,18.1,0.0,0.655,5.952,84.7,2.8715,24.0,666.0,20.2,22.01,17.15],[0.20608,22.0,5.86,0.0,0.431,5.593,76.5,7.9549,7.0,330.0,19.1,372.49,12.5],[0.17004,12.5,7.87,0.0,0.524,6.004,85.9,6.5921,5.0,311.0,15.2,386.71,17.1],[0.03871,52.5,5.32,0.0,0.405,6.209,31.3,7.3172,6.0,293.0,16.6,396.9,7.14],[0.16439,22.0,5.86,0.0,0.431,6.433,49.1,7.8265,7.0,330.0,19.1,374.71,9.52],[0.04819,80.0,3.64,0.0,0.392,6.108,32.0,9.2203,1.0,315.0,16.4,392.89,6.57],[4.26131,0.0,18.1,0.0,0.77,6.112,81.3,2.5091,24.0,666.0,20.2,390.74,12.67],[0.06664,0.0,4.05,0.0,0.51,6.546,33.1,3.1323,5.0,296.0,16.6,390.96,5.33],[0.22489,12.5,7.87,0.0,0.524,6.377,94.3,6.3467,5.0,311.0,15.2,392.52,20.45],[0.04741,0.0,11.93,0.0,0.573,6.03,80.8,2.505,1.0,273.0,21.0,396.9,7.88],[0.17171,25.0,5.13,0.0,0.453,5.966,93.4,6.8185,8.0,284.0,19.7,378.08,14.44],[0.07013,0.0,13.89,0.0,0.55,6.642,85.1,3.4211,5.0,276.0,16.4,392.78,9.69],[0.01965,80.0,1.76,0.0,0.385,6.23,31.5,9.0892,1.0,241.0,18.2,341.6,12.93],[0.84054,0.0,8.14,0.0,0.538,5.599,85.7,4.4546,4.0,307.0,21.0,303.42,16.51],[4.54192,0.0,18.1,0.0,0.77,6.398,88.0,2.5182,24.0,666.0,20.2,374.56,7.79],[0.14455,12.5,7.87,0.0,0.524,6.172,96.1,5.9505,5.0,311.0,15.2,396.9,19.15],[3.32105,0.0,19.58,1.0,0.871,5.403,100.0,1.3216,5.0,403.0,14.7,396.9,26.82],[0.13642,0.0,10.59,0.0,0.489,5.891,22.3,3.9454,4.0,277.0,18.6,396.9,10.87],[2.63548,0.0,9.9,0.0,0.544,4.973,37.8,2.5194,4.0,304.0,18.4,350.45,12.64],[0.09065,20.0,6.96,1.0,0.464,5.92,61.5,3.9175,3.0,223.0,18.6,391.34,13.65],[0.14103,0.0,13.92,0.0,0.437,5.79,58.0,6.32,4.0,289.0,16.0,396.9,15.84],[0.10959,0.0,11.93,0.0,0.573,6.794,89.3,2.3889,1.0,273.0,21.0,393.45,6.48],[0.0536,21.0,5.64,0.0,0.439,6.511,21.1,6.8147,4.0,243.0,16.8,396.9,5.28],[0.62356,0.0,6.2,1.0,0.507,6.879,77.7,3.2721,8.0,307.0,17.4,390.39,9.93],[0.21409,22.0,5.86,0.0,0.431,6.438,8.9,7.3967,7.0,330.0,19.1,377.07,3.59],[0.38214,0.0,6.2,0.0,0.504,8.04,86.5,3.2157,8.0,307.0,17.4,387.38,3.13],[18.0846,0.0,18.1,0.0,0.679,6.434,100.0,1.8347,24.0,666.0,20.2,27.25,29.05],[0.1415,0.0,6.91,0.0,0.448,6.169,6.6,5.7209,3.0,233.0,17.9,383.37,5.81],[18.811,0.0,18.1,0.0,0.597,4.628,100.0,1.5539,24.0,666.0,20.2,28.79,34.37],[41.5292,0.0,18.1,0.0,0.693,5.531,85.4,1.6074,24.0,666.0,20.2,329.46,27.38],[0.15038,0.0,25.65,0.0,0.581,5.856,97.0,1.9444,2.0,188.0,19.1,370.31,25.41],[1.80028,0.0,19.58,0.0,0.605,5.877,79.2,2.4259,5.0,403.0,14.7,227.61,12.14],[0.01501,80.0,2.01,0.0,0.435,6.635,29.7,8.344,4.0,280.0,17.0,390.94,5.99],[3.69695,0.0,18.1,0.0,0.718,4.963,91.4,1.7523,24.0,666.0,20.2,316.03,14.0],[0.40202,0.0,9.9,0.0,0.544,6.382,67.2,3.5325,4.0,304.0,18.4,395.21,10.36],[3.53501,0.0,19.58,1.0,0.871,6.152,82.6,1.7455,5.0,403.0,14.7,88.01,15.02],[2.36862,0.0,19.58,0.0,0.871,4.926,95.7,1.4608,5.0,403.0,14.7,391.71,29.53],[0.43571,0.0,10.59,1.0,0.489,5.344,100.0,3.875,4.0,277.0,18.6,396.9,23.09],[12.0482,0.0,18.1,0.0,0.614,5.648,87.6,1.9512,24.0,666.0,20.2,291.55,14.1],[0.15098,0.0,10.01,0.0,0.547,6.021,82.6,2.7474,6.0,432.0,17.8,394.51,10.3],[0.04981,21.0,5.64,0.0,0.439,5.998,21.4,6.8147,4.0,243.0,16.8,396.9,8.43],[17.8667,0.0,18.1,0.0,0.671,6.223,100.0,1.3861,24.0,666.0,20.2,393.74,21.78],[0.12932,0.0,13.92,0.0,0.437,6.678,31.1,5.9604,4.0,289.0,16.0,396.9,6.27],[0.15445,25.0,5.13,0.0,0.453,6.145,29.2,7.8148,8.0,284.0,19.7,390.68,6.86],[0.06129,20.0,3.33,1.0,0.4429,7.645,49.7,5.2119,5.0,216.0,14.9,377.07,3.01],[2.14918,0.0,19.58,0.0,0.871,5.709,98.5,1.6232,5.0,403.0,14.7,261.95,15.79],[0.79041,0.0,9.9,0.0,0.544,6.122,52.8,2.6403,4.0,304.0,18.4,396.9,5.98],[0.12204,0.0,2.89,0.0,0.445,6.625,57.8,3.4952,2.0,276.0,18.0,357.98,6.65],[0.29916,20.0,6.96,0.0,0.464,5.856,42.1,4.429,3.0,223.0,18.6,388.65,13.0],[0.13587,0.0,10.59,1.0,0.489,6.064,59.1,4.2392,4.0,277.0,18.6,381.32,14.66],[7.75223,0.0,18.1,0.0,0.713,6.301,83.7,2.7831,24.0,666.0,20.2,272.21,16.23],[0.26363,0.0,8.56,0.0,0.52,6.229,91.2,2.5451,5.0,384.0,20.9,391.23,15.55],[0.54452,0.0,21.89,0.0,0.624,6.151,97.9,1.6687,4.0,437.0,21.2,396.9,18.46],[0.03578,20.0,3.33,0.0,0.4429,7.82,64.5,4.6947,5.0,216.0,14.9,387.31,3.76],[0.17783,0.0,9.69,0.0,0.585,5.569,73.5,2.3999,6.0,391.0,19.2,395.77,15.1],[0.6718,0.0,18.1,0.0,0.74,6.459,94.8,1.9879,24.0,666.0,20.2,43.06,23.98],[0.23912,0.0,9.69,0.0,0.585,6.019,65.3,2.4091,6.0,391.0,19.2,396.9,12.92],[5.29305,0.0,18.1,0.0,0.7,6.051,82.5,2.1678,24.0,666.0,20.2,378.38,18.76],[0.75026,0.0,8.14,0.0,0.538,5.924,94.1,4.3996,4.0,307.0,21.0,394.33,16.3],[0.04203,28.0,15.04,0.0,0.464,6.442,53.6,3.6659,4.0,270.0,18.2,395.01,8.16],[1.62864,0.0,21.89,0.0,0.624,5.019,100.0,1.4394,4.0,437.0,21.2,396.9,34.41],[0.06151,0.0,5.19,0.0,0.515,5.968,58.5,4.8122,5.0,224.0,20.2,396.9,9.29],[8.71675,0.0,18.1,0.0,0.693,6.471,98.8,1.7257,24.0,666.0,20.2,391.98,17.12],[4.66883,0.0,18.1,0.0,0.713,5.976,87.9,2.5806,24.0,666.0,20.2,10.48,19.01],[0.03738,0.0,5.19,0.0,0.515,6.31,38.5,6.4584,5.0,224.0,20.2,389.4,6.75],[4.75237,0.0,18.1,0.0,0.713,6.525,86.5,2.4358,24.0,666.0,20.2,50.92,18.13],[0.10574,0.0,27.74,0.0,0.609,5.983,98.8,1.8681,4.0,711.0,20.1,390.11,18.07],[3.1636,0.0,18.1,0.0,0.655,5.759,48.2,3.0665,24.0,666.0,20.2,334.4,14.13],[0.55778,0.0,21.89,0.0,0.624,6.335,98.2,2.1107,4.0,437.0,21.2,394.67,16.96],[11.5779,0.0,18.1,0.0,0.7,5.036,97.0,1.77,24.0,666.0,20.2,396.9,25.68],[11.0874,0.0,18.1,0.0,0.718,6.411,100.0,1.8589,24.0,666.0,20.2,318.75,15.02]], target: [22.8,23.2,13.5,29.0,19.6,8.7,28.1,27.9,8.8,12.8,10.4,19.7,23.9,33.4,22.3,22.5,22.0,14.9,17.2,41.7,13.4,23.9,21.7,31.1,7.2,21.8,8.1,50.0,11.7,18.5,10.5,22.4,15.7,22.8,11.5,20.4,30.1,32.0,22.7,20.8,20.6,43.8,28.2,19.5,24.1,19.8,29.8,23.7,29.9,17.5,13.3,37.0,11.9,44.0,36.4,22.0,18.2,20.9,23.1,10.5,13.6,20.3,8.5,26.4,16.5,23.7,21.7,31.5,27.5,13.4,50.0,19.3,22.9,21.9,19.1,23.8,20.9,23.0,18.3,25.0,21.4,22.8,20.0,21.7,16.2,22.0,23.1,36.0,23.4,22.3,21.4,10.9,16.8,50.0,11.0,22.2,21.2,19.1,16.7,14.3,23.9,17.1,29.0,31.0,28.5,18.2,16.1,14.5,50.0,12.0,15.0,19.9,20.2,19.4,21.7,20.4,13.1,9.6,50.0,19.8,30.1,21.1,22.0,27.0,8.8,31.6,24.1,11.8,23.0,11.3,28.4,17.4,33.0,34.9,50.0,20.8,31.5,16.2,18.8,22.8,50.0,23.0,18.5,19.9,12.6,18.4,29.1,33.2,14.5,13.8,19.5,33.8,21.7,20.6,22.5,21.2,14.2,19.3,22.6,20.1,8.3,17.2,13.1,31.6,50.0,13.8,21.6,14.6,23.9,5.0,22.2,25.0,48.8,24.3,50.0,18.4,16.5,19.4,19.9,15.4,7.4,14.1,23.7,20.6,29.8,10.9,16.8,18.6,34.6,17.1,15.3,50.0,24.4,41.3,7.0,21.7,13.8,19.0,19.3,33.1,17.2,16.3,18.2,12.5,7.0,46.7,43.1,22.4,25.2,21.5,36.2,50.0,42.3,25.0,16.6,19.4,13.4,18.5,17.7,14.9,24.5,19.1,20.0,15.6,37.9,30.1,17.1,20.1,21.2,24.1,50.0,17.8,18.8,29.1,13.8,24.7,14.0,10.4,24.7,24.4,27.1,50.0,16.4,26.7,20.3,29.6,18.9,7.2,15.2,20.4,23.8,23.1,36.2,26.6,22.7,22.2,18.0,15.6,48.3,14.8,13.2,23.6,18.7,36.5,19.5,29.6,26.6,19.3,20.0,22.6,19.7,23.3,15.0,23.6,19.6,18.9,12.7,23.1,22.0,18.6,21.8,21.0,21.4,15.2,23.5,18.9,26.2,34.7,24.8,31.7,23.2,14.1,20.5,17.5,19.5,21.7,34.9,10.8,20.4,8.3,31.2,21.4,13.3,13.9,15.1,33.2,13.8,22.2,14.3,50.0,23.7,28.7,19.6,25.0,27.5,43.5,10.2,39.8,22.9,8.4,13.0,14.5,9.5,30.3,19.8,17.8,22.2,14.4,20.0,20.1,37.2,42.8,13.5,27.5,20.2,30.7,35.4,5.0,36.1,21.6,25.1,5.6,35.4,24.4,15.6,19.6,10.2,21.0,26.4,12.3,25.0,21.4,12.1,22.6,19.1,48.5,33.4,24.3,21.5,23.3,30.5,19.3,24.3,32.2,38.7,6.3,20.3,20.5,34.9,16.1,17.0,17.8,8.4,24.0,26.6,15.4,30.8,18.4,24.0,28.0,24.8,7.5,15.2,16.6,20.1,32.7,26.5,18.3,20.5,12.7,19.2,17.4,32.9,17.8,23.8,19.6,11.7,18.7,21.0,27.9,22.5,35.1,13.1,24.2,24.6,50.0,32.5,25.0,23.3,33.1,13.3,18.5,23.0,32.0,32.4,20.6,19.4,44.8,37.3,20.6,50.0,28.7,35.2,22.9,24.6,33.3,17.4,20.6,22.0,23.1,24.8,21.2,23.1,23.9,24.7,19.0,17.6,18.9,23.2,24.5,21.9,22.6,29.4,15.0,11.9,16.0,28.7,20.1,13.9,25.0,27.1,13.4,22.6,16.1,20.7,20.3,22.0,25.0,27.5,24.8,37.6,7.2,25.3,17.9,8.5,17.3,23.8,24.5,21.9,23.1,15.6,14.6,20.0,20.8,19.2,23.4,10.2,28.6,23.3,46.0,19.4,22.1,28.4,21.1,24.4,14.9,19.4,17.8,45.4,17.5,11.8,21.2,23.2,15.6,22.9,14.4,18.7,13.1,12.7,20.7,14.1,13.6,19.9,18.1,9.7,16.7]};"
  },
  {
    "path": "ml/datasets/digits_data.ts",
    "content": "/* Digits Data Set\n *   http://scikit-learn.org/stable/auto_examples/datasets/plot_digits_last_image.html\n *   classes: 10\n *   samples total: 1797 ( ~ 180 samples per class)\n *   dimensionality: 64\n *   features: integer 0 - 16\n */\nvar digits: {data: number[][], target: number[]} = {data: [[0.0, 0.0, 5.0, 13.0, 9.0, 1.0, 0.0, 0.0, 0.0, 0.0, 13.0, 15.0, 10.0, 15.0, 5.0, 0.0, 0.0, 3.0, 15.0, 2.0, 0.0, 11.0, 8.0, 0.0, 0.0, 4.0, 12.0, 0.0, 0.0, 8.0, 8.0, 0.0, 0.0, 5.0, 8.0, 0.0, 0.0, 9.0, 8.0, 0.0, 0.0, 4.0, 11.0, 0.0, 1.0, 12.0, 7.0, 0.0, 0.0, 2.0, 14.0, 5.0, 10.0, 12.0, 0.0, 0.0, 0.0, 0.0, 6.0, 13.0, 10.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 12.0, 13.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 3.0, 15.0, 16.0, 6.0, 0.0, 0.0, 0.0, 7.0, 15.0, 16.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 10.0, 0.0, 0.0], [0.0, 0.0, 0.0, 4.0, 15.0, 12.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 15.0, 14.0, 0.0, 0.0, 0.0, 0.0, 8.0, 13.0, 8.0, 16.0, 0.0, 0.0, 0.0, 0.0, 1.0, 6.0, 15.0, 11.0, 0.0, 0.0, 0.0, 1.0, 8.0, 13.0, 15.0, 1.0, 0.0, 0.0, 0.0, 9.0, 16.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 3.0, 13.0, 16.0, 16.0, 11.0, 5.0, 0.0, 0.0, 0.0, 0.0, 3.0, 11.0, 16.0, 9.0, 0.0], [0.0, 0.0, 7.0, 15.0, 13.0, 1.0, 0.0, 0.0, 0.0, 8.0, 13.0, 6.0, 15.0, 4.0, 0.0, 0.0, 0.0, 2.0, 1.0, 13.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 15.0, 11.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 12.0, 12.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 10.0, 8.0, 0.0, 0.0, 0.0, 8.0, 4.0, 5.0, 14.0, 9.0, 0.0, 0.0, 0.0, 7.0, 13.0, 13.0, 9.0, 0.0, 0.0], [0.0, 0.0, 0.0, 1.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 13.0, 6.0, 2.0, 2.0, 0.0, 0.0, 0.0, 7.0, 15.0, 0.0, 9.0, 8.0, 0.0, 0.0, 5.0, 16.0, 10.0, 0.0, 16.0, 6.0, 0.0, 0.0, 4.0, 15.0, 16.0, 13.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 3.0, 15.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 4.0, 0.0, 0.0], [0.0, 0.0, 12.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 16.0, 16.0, 14.0, 0.0, 0.0, 0.0, 0.0, 13.0, 16.0, 15.0, 10.0, 1.0, 0.0, 0.0, 0.0, 11.0, 16.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 7.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 9.0, 0.0, 0.0, 0.0, 5.0, 4.0, 12.0, 16.0, 4.0, 0.0, 0.0, 0.0, 9.0, 16.0, 16.0, 10.0, 0.0, 0.0], [0.0, 0.0, 0.0, 12.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 12.0, 7.0, 2.0, 0.0, 0.0, 0.0, 0.0, 13.0, 16.0, 13.0, 16.0, 3.0, 0.0, 0.0, 0.0, 7.0, 16.0, 11.0, 15.0, 8.0, 0.0, 0.0, 0.0, 1.0, 9.0, 15.0, 11.0, 3.0, 0.0], [0.0, 0.0, 7.0, 8.0, 13.0, 16.0, 15.0, 1.0, 0.0, 0.0, 7.0, 7.0, 4.0, 11.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 13.0, 1.0, 0.0, 0.0, 4.0, 8.0, 8.0, 15.0, 15.0, 6.0, 0.0, 0.0, 2.0, 11.0, 15.0, 15.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 5.0, 0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 9.0, 14.0, 8.0, 1.0, 0.0, 0.0, 0.0, 0.0, 12.0, 14.0, 14.0, 12.0, 0.0, 0.0, 0.0, 0.0, 9.0, 10.0, 0.0, 15.0, 4.0, 0.0, 0.0, 0.0, 3.0, 16.0, 12.0, 14.0, 2.0, 0.0, 0.0, 0.0, 4.0, 16.0, 16.0, 2.0, 0.0, 0.0, 0.0, 3.0, 16.0, 8.0, 10.0, 13.0, 2.0, 0.0, 0.0, 1.0, 15.0, 1.0, 3.0, 16.0, 8.0, 0.0, 0.0, 0.0, 11.0, 16.0, 15.0, 11.0, 1.0, 0.0], [0.0, 0.0, 11.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 16.0, 16.0, 13.0, 0.0, 0.0, 0.0, 3.0, 16.0, 12.0, 10.0, 14.0, 0.0, 0.0, 0.0, 1.0, 16.0, 1.0, 12.0, 15.0, 0.0, 0.0, 0.0, 0.0, 13.0, 16.0, 9.0, 15.0, 2.0, 0.0, 0.0, 0.0, 0.0, 3.0, 0.0, 9.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 15.0, 4.0, 0.0, 0.0, 0.0, 9.0, 12.0, 13.0, 3.0, 0.0, 0.0], [0.0, 0.0, 1.0, 9.0, 15.0, 11.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 8.0, 14.0, 6.0, 0.0, 0.0, 2.0, 16.0, 10.0, 0.0, 9.0, 9.0, 0.0, 0.0, 1.0, 16.0, 4.0, 0.0, 8.0, 8.0, 0.0, 0.0, 4.0, 16.0, 4.0, 0.0, 8.0, 8.0, 0.0, 0.0, 1.0, 16.0, 5.0, 1.0, 11.0, 3.0, 0.0, 0.0, 0.0, 12.0, 12.0, 10.0, 10.0, 0.0, 0.0, 0.0, 0.0, 1.0, 10.0, 13.0, 3.0, 0.0, 0.0], [0.0, 0.0, 0.0, 0.0, 14.0, 13.0, 1.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 14.0, 16.0, 12.0, 0.0, 0.0, 0.0, 1.0, 10.0, 16.0, 16.0, 12.0, 0.0, 0.0, 0.0, 3.0, 12.0, 14.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 13.0, 16.0, 1.0, 0.0], [0.0, 0.0, 5.0, 12.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 14.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 1.0, 12.0, 0.0, 0.0, 0.0, 0.0, 2.0, 10.0, 0.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 0.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 15.0, 9.0, 8.0, 2.0, 0.0, 0.0, 3.0, 11.0, 8.0, 13.0, 12.0, 4.0], [0.0, 2.0, 9.0, 15.0, 14.0, 9.0, 3.0, 0.0, 0.0, 4.0, 13.0, 8.0, 9.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 6.0, 14.0, 15.0, 3.0, 0.0, 0.0, 0.0, 0.0, 11.0, 14.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 15.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 15.0, 4.0, 0.0, 0.0, 1.0, 5.0, 6.0, 13.0, 16.0, 6.0, 0.0, 0.0, 2.0, 12.0, 12.0, 13.0, 11.0, 0.0, 0.0], [0.0, 0.0, 0.0, 8.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0, 1.0, 14.0, 13.0, 1.0, 1.0, 0.0, 0.0, 0.0, 10.0, 15.0, 3.0, 15.0, 11.0, 0.0, 0.0, 7.0, 16.0, 7.0, 1.0, 16.0, 8.0, 0.0, 0.0, 9.0, 16.0, 13.0, 14.0, 16.0, 5.0, 0.0, 0.0, 1.0, 10.0, 15.0, 16.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 15.0, 4.0, 0.0, 0.0], [0.0, 5.0, 12.0, 13.0, 16.0, 16.0, 2.0, 0.0, 0.0, 11.0, 16.0, 15.0, 8.0, 4.0, 0.0, 0.0, 0.0, 8.0, 14.0, 11.0, 1.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 16.0, 14.0, 0.0, 0.0, 0.0, 0.0, 1.0, 6.0, 6.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 3.0, 0.0, 0.0, 0.0, 1.0, 5.0, 15.0, 13.0, 0.0, 0.0, 0.0, 0.0, 4.0, 15.0, 16.0, 2.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 8.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 16.0, 13.0, 5.0, 0.0, 0.0, 0.0, 15.0, 16.0, 9.0, 9.0, 14.0, 0.0, 0.0, 0.0, 3.0, 14.0, 9.0, 2.0, 16.0, 2.0, 0.0, 0.0, 0.0, 7.0, 15.0, 16.0, 11.0, 0.0], [0.0, 0.0, 1.0, 8.0, 15.0, 10.0, 0.0, 0.0, 0.0, 3.0, 13.0, 15.0, 14.0, 14.0, 0.0, 0.0, 0.0, 5.0, 10.0, 0.0, 10.0, 12.0, 0.0, 0.0, 0.0, 0.0, 3.0, 5.0, 15.0, 10.0, 2.0, 0.0, 0.0, 0.0, 16.0, 16.0, 16.0, 16.0, 12.0, 0.0, 0.0, 1.0, 8.0, 12.0, 14.0, 8.0, 3.0, 0.0, 0.0, 0.0, 0.0, 10.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 9.0, 0.0, 0.0, 0.0], [0.0, 0.0, 10.0, 7.0, 13.0, 9.0, 0.0, 0.0, 0.0, 0.0, 9.0, 10.0, 12.0, 15.0, 2.0, 0.0, 0.0, 0.0, 4.0, 11.0, 10.0, 11.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 10.0, 1.0, 0.0, 0.0, 0.0, 0.0, 12.0, 13.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 1.0, 12.0, 0.0, 0.0, 0.0, 0.0, 1.0, 10.0, 2.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 14.0, 5.0, 0.0, 0.0, 0.0], [0.0, 0.0, 6.0, 14.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 14.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 1.0, 12.0, 12.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 11.0, 0.0, 0.0, 0.0, 1.0, 4.0, 4.0, 7.0, 16.0, 2.0, 0.0, 0.0, 7.0, 16.0, 16.0, 13.0, 11.0, 1.0], [0.0, 0.0, 3.0, 13.0, 11.0, 7.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 16.0, 16.0, 2.0, 0.0, 0.0, 4.0, 16.0, 9.0, 1.0, 14.0, 2.0, 0.0, 0.0, 4.0, 16.0, 0.0, 0.0, 16.0, 2.0, 0.0, 0.0, 0.0, 16.0, 1.0, 0.0, 12.0, 8.0, 0.0, 0.0, 0.0, 15.0, 9.0, 0.0, 13.0, 6.0, 0.0, 0.0, 0.0, 9.0, 14.0, 9.0, 14.0, 1.0, 0.0, 0.0, 0.0, 2.0, 12.0, 13.0, 4.0, 0.0, 0.0], [0.0, 0.0, 0.0, 2.0, 16.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 16.0, 2.0, 0.0, 0.0, 1.0, 4.0, 12.0, 16.0, 12.0, 0.0, 0.0, 0.0, 7.0, 16.0, 16.0, 16.0, 12.0, 0.0, 0.0, 0.0, 0.0, 3.0, 10.0, 16.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 2.0, 12.0, 15.0, 4.0, 0.0], [0.0, 0.0, 8.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 1.0, 13.0, 11.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 0.0, 13.0, 3.0, 0.0, 0.0, 0.0, 0.0, 3.0, 1.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 15.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 15.0, 8.0, 8.0, 3.0, 0.0, 0.0, 0.0, 7.0, 12.0, 12.0, 12.0, 13.0, 1.0], [0.0, 1.0, 8.0, 12.0, 15.0, 14.0, 4.0, 0.0, 0.0, 3.0, 11.0, 8.0, 8.0, 12.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 13.0, 7.0, 0.0, 0.0, 0.0, 0.0, 2.0, 15.0, 12.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 13.0, 0.0, 0.0, 0.0, 0.0, 7.0, 8.0, 14.0, 15.0, 0.0, 0.0, 0.0, 0.0, 14.0, 15.0, 11.0, 2.0, 0.0, 0.0], [0.0, 0.0, 0.0, 0.0, 12.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 14.0, 1.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 7.0, 8.0, 0.0, 0.0, 0.0, 0.0, 13.0, 9.0, 0.0, 16.0, 6.0, 0.0, 0.0, 6.0, 16.0, 10.0, 11.0, 16.0, 0.0, 0.0, 0.0, 0.0, 5.0, 10.0, 13.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 8.0, 0.0, 0.0], [0.0, 0.0, 12.0, 8.0, 8.0, 7.0, 0.0, 0.0, 0.0, 3.0, 16.0, 16.0, 11.0, 7.0, 0.0, 0.0, 0.0, 2.0, 14.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 14.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 15.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 4.0, 8.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 11.0, 14.0, 9.0, 0.0, 0.0, 0.0], [0.0, 0.0, 1.0, 13.0, 14.0, 3.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 13.0, 2.0, 0.0, 0.0, 0.0, 2.0, 16.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 12.0, 1.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 14.0, 5.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 16.0, 16.0, 16.0, 6.0, 0.0, 0.0, 1.0, 14.0, 16.0, 16.0, 16.0, 12.0, 0.0, 0.0, 0.0, 3.0, 12.0, 15.0, 14.0, 7.0, 0.0], [0.0, 0.0, 0.0, 8.0, 14.0, 14.0, 2.0, 0.0, 0.0, 0.0, 0.0, 6.0, 10.0, 15.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 10.0, 0.0, 0.0, 2.0, 8.0, 11.0, 12.0, 16.0, 8.0, 0.0, 0.0, 8.0, 16.0, 16.0, 16.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 13.0, 1.0, 0.0, 0.0], [0.0, 0.0, 10.0, 11.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 15.0, 13.0, 13.0, 1.0, 0.0, 0.0, 0.0, 8.0, 11.0, 0.0, 14.0, 4.0, 0.0, 0.0, 0.0, 0.0, 13.0, 15.0, 13.0, 0.0, 0.0, 0.0, 1.0, 11.0, 16.0, 16.0, 0.0, 0.0, 0.0, 0.0, 1.0, 15.0, 3.0, 9.0, 10.0, 0.0, 0.0, 0.0, 0.0, 14.0, 6.0, 15.0, 10.0, 0.0, 0.0, 0.0, 0.0, 8.0, 14.0, 7.0, 1.0, 0.0, 0.0], [0.0, 0.0, 9.0, 13.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 16.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 12.0, 13.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 16.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 10.0, 0.0, 0.0, 0.0, 3.0, 7.0, 12.0, 14.0, 16.0, 2.0, 0.0, 0.0, 7.0, 12.0, 12.0, 12.0, 11.0, 0.0], [0.0, 0.0, 10.0, 14.0, 11.0, 3.0, 0.0, 0.0, 0.0, 4.0, 16.0, 13.0, 6.0, 14.0, 1.0, 0.0, 0.0, 4.0, 16.0, 2.0, 0.0, 11.0, 7.0, 0.0, 0.0, 8.0, 16.0, 0.0, 0.0, 10.0, 5.0, 0.0, 0.0, 8.0, 16.0, 0.0, 0.0, 14.0, 4.0, 0.0, 0.0, 8.0, 16.0, 0.0, 1.0, 16.0, 1.0, 0.0, 0.0, 4.0, 16.0, 1.0, 11.0, 15.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 12.0, 3.0, 0.0, 0.0], [0.0, 0.0, 2.0, 13.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 5.0, 15.0, 13.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 11.0, 0.0, 0.0, 0.0, 0.0, 3.0, 4.0, 4.0, 16.0, 2.0, 0.0, 0.0, 2.0, 15.0, 13.0, 14.0, 13.0, 2.0], [0.0, 2.0, 13.0, 16.0, 16.0, 16.0, 11.0, 0.0, 0.0, 5.0, 16.0, 10.0, 5.0, 4.0, 1.0, 0.0, 0.0, 6.0, 16.0, 7.0, 3.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 16.0, 16.0, 6.0, 0.0, 0.0, 0.0, 3.0, 8.0, 4.0, 11.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 12.0, 15.0, 0.0, 0.0, 0.0, 0.0, 4.0, 13.0, 16.0, 6.0, 0.0, 0.0, 0.0, 2.0, 16.0, 15.0, 8.0, 0.0, 0.0, 0.0], [0.0, 6.0, 13.0, 5.0, 8.0, 8.0, 1.0, 0.0, 0.0, 8.0, 16.0, 16.0, 16.0, 16.0, 6.0, 0.0, 0.0, 6.0, 16.0, 9.0, 6.0, 4.0, 0.0, 0.0, 0.0, 6.0, 16.0, 16.0, 15.0, 5.0, 0.0, 0.0, 0.0, 0.0, 4.0, 5.0, 15.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 9.0, 0.0, 0.0, 0.0, 1.0, 8.0, 13.0, 15.0, 3.0, 0.0, 0.0, 0.0, 4.0, 16.0, 15.0, 3.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 5.0, 14.0, 2.0, 0.0, 0.0, 0.0, 0.0, 1.0, 13.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 15.0, 5.0, 0.0, 0.0, 0.0, 0.0, 1.0, 15.0, 16.0, 15.0, 11.0, 1.0, 0.0, 0.0, 2.0, 13.0, 14.0, 1.0, 12.0, 9.0, 0.0, 0.0, 0.0, 4.0, 16.0, 7.0, 13.0, 9.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 15.0, 3.0, 0.0], [0.0, 3.0, 15.0, 8.0, 8.0, 6.0, 0.0, 0.0, 0.0, 4.0, 16.0, 16.0, 16.0, 13.0, 2.0, 0.0, 0.0, 3.0, 16.0, 9.0, 2.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 16.0, 15.0, 3.0, 0.0, 0.0, 0.0, 0.0, 7.0, 6.0, 12.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 14.0, 10.0, 0.0, 0.0, 0.0, 0.0, 5.0, 14.0, 15.0, 2.0, 0.0, 0.0, 0.0, 1.0, 15.0, 14.0, 1.0, 0.0, 0.0, 0.0], [0.0, 0.0, 6.0, 14.0, 10.0, 2.0, 0.0, 0.0, 0.0, 0.0, 15.0, 15.0, 13.0, 15.0, 3.0, 0.0, 0.0, 2.0, 16.0, 10.0, 0.0, 13.0, 9.0, 0.0, 0.0, 1.0, 16.0, 5.0, 0.0, 12.0, 5.0, 0.0, 0.0, 0.0, 16.0, 3.0, 0.0, 13.0, 6.0, 0.0, 0.0, 1.0, 15.0, 5.0, 6.0, 13.0, 1.0, 0.0, 0.0, 0.0, 16.0, 11.0, 14.0, 10.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 11.0, 1.0, 0.0, 0.0], [0.0, 0.0, 13.0, 10.0, 1.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 14.0, 7.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 8.0, 14.0, 0.0, 0.0, 0.0, 0.0, 2.0, 14.0, 16.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 1.0, 4.0, 9.0, 13.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 6.0, 0.0, 0.0, 0.0, 5.0, 8.0, 5.0, 9.0, 14.0, 0.0, 0.0, 0.0, 13.0, 13.0, 15.0, 16.0, 13.0, 0.0], [0.0, 0.0, 7.0, 7.0, 13.0, 16.0, 4.0, 0.0, 0.0, 0.0, 13.0, 13.0, 6.0, 12.0, 7.0, 0.0, 0.0, 0.0, 10.0, 4.0, 10.0, 11.0, 1.0, 0.0, 0.0, 0.0, 8.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 3.0, 14.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 8.0, 11.0, 5.0, 0.0, 0.0, 0.0, 0.0, 4.0, 10.0, 9.0, 8.0, 0.0, 0.0, 0.0, 0.0, 1.0, 11.0, 16.0, 6.0, 0.0, 0.0, 0.0], [0.0, 1.0, 9.0, 16.0, 13.0, 7.0, 0.0, 0.0, 0.0, 7.0, 14.0, 4.0, 10.0, 12.0, 0.0, 0.0, 0.0, 6.0, 15.0, 9.0, 16.0, 11.0, 0.0, 0.0, 0.0, 0.0, 9.0, 11.0, 7.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 6.0, 0.0, 0.0, 3.0, 13.0, 8.0, 5.0, 14.0, 5.0, 0.0, 0.0, 0.0, 9.0, 14.0, 13.0, 10.0, 1.0, 0.0], [0.0, 0.0, 11.0, 10.0, 12.0, 4.0, 0.0, 0.0, 0.0, 0.0, 12.0, 13.0, 9.0, 16.0, 1.0, 0.0, 0.0, 0.0, 7.0, 13.0, 11.0, 16.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 14.0, 4.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 7.0, 12.0, 7.0, 0.0, 0.0, 0.0, 4.0, 14.0, 4.0, 12.0, 13.0, 0.0, 0.0, 0.0, 1.0, 11.0, 14.0, 12.0, 4.0, 0.0, 0.0], [0.0, 0.0, 0.0, 9.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 14.0, 2.0, 11.0, 3.0, 0.0, 0.0, 4.0, 16.0, 9.0, 4.0, 16.0, 10.0, 0.0, 0.0, 9.0, 16.0, 11.0, 13.0, 16.0, 2.0, 0.0, 0.0, 0.0, 9.0, 16.0, 16.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 2.0, 0.0, 0.0], [0.0, 0.0, 0.0, 0.0, 12.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 12.0, 0.0, 0.0, 0.0, 0.0, 1.0, 12.0, 16.0, 11.0, 0.0, 0.0, 0.0, 2.0, 12.0, 16.0, 16.0, 10.0, 0.0, 0.0, 0.0, 6.0, 11.0, 5.0, 15.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 8.0, 0.0, 0.0], [0.0, 0.0, 0.0, 9.0, 15.0, 12.0, 0.0, 0.0, 0.0, 0.0, 4.0, 7.0, 7.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 3.0, 0.0, 0.0, 4.0, 9.0, 8.0, 10.0, 13.0, 1.0, 0.0, 0.0, 4.0, 16.0, 15.0, 16.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 7.0, 0.0, 0.0, 0.0], [0.0, 0.0, 9.0, 16.0, 16.0, 16.0, 5.0, 0.0, 0.0, 1.0, 14.0, 10.0, 8.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 3.0, 0.0, 0.0, 3.0, 8.0, 11.0, 15.0, 16.0, 11.0, 0.0, 0.0, 8.0, 16.0, 16.0, 15.0, 11.0, 3.0, 0.0, 0.0, 0.0, 2.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 10.0, 0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 9.0, 16.0, 13.0, 6.0, 0.0, 0.0, 0.0, 0.0, 6.0, 5.0, 16.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 15.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 14.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 15.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 12.0, 0.0, 0.0, 0.0, 4.0, 8.0, 11.0, 15.0, 12.0, 0.0, 0.0, 0.0, 11.0, 14.0, 12.0, 8.0, 0.0, 0.0], [0.0, 1.0, 15.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 16.0, 16.0, 14.0, 2.0, 0.0, 0.0, 6.0, 16.0, 11.0, 8.0, 8.0, 3.0, 0.0, 0.0, 5.0, 16.0, 11.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 14.0, 14.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 14.0, 14.0, 4.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 1.0, 11.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 13.0, 0.0, 0.0, 0.0, 0.0, 4.0, 14.0, 16.0, 9.0, 0.0, 0.0, 0.0, 10.0, 16.0, 11.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 14.0, 6.0, 0.0, 0.0], [0.0, 0.0, 2.0, 15.0, 13.0, 3.0, 0.0, 0.0, 0.0, 0.0, 10.0, 15.0, 11.0, 15.0, 0.0, 0.0, 0.0, 3.0, 16.0, 6.0, 0.0, 10.0, 0.0, 0.0, 0.0, 4.0, 16.0, 8.0, 0.0, 3.0, 8.0, 0.0, 0.0, 8.0, 14.0, 3.0, 0.0, 4.0, 8.0, 0.0, 0.0, 3.0, 15.0, 1.0, 0.0, 3.0, 7.0, 0.0, 0.0, 0.0, 14.0, 11.0, 6.0, 14.0, 5.0, 0.0, 0.0, 0.0, 4.0, 12.0, 15.0, 6.0, 0.0, 0.0], [0.0, 0.0, 1.0, 15.0, 13.0, 1.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 14.0, 8.0, 0.0, 0.0, 0.0, 8.0, 12.0, 9.0, 2.0, 13.0, 2.0, 0.0, 0.0, 7.0, 9.0, 1.0, 0.0, 6.0, 6.0, 0.0, 0.0, 5.0, 9.0, 0.0, 0.0, 3.0, 9.0, 0.0, 0.0, 0.0, 15.0, 2.0, 0.0, 8.0, 12.0, 0.0, 0.0, 0.0, 9.0, 15.0, 13.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 13.0, 14.0, 8.0, 0.0, 0.0], [0.0, 0.0, 0.0, 5.0, 14.0, 12.0, 2.0, 0.0, 0.0, 0.0, 7.0, 15.0, 8.0, 14.0, 4.0, 0.0, 0.0, 0.0, 6.0, 2.0, 3.0, 13.0, 1.0, 0.0, 0.0, 0.0, 0.0, 1.0, 13.0, 4.0, 0.0, 0.0, 0.0, 0.0, 1.0, 11.0, 9.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 14.0, 16.0, 11.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 12.0, 13.0, 3.0, 0.0], [0.0, 0.0, 0.0, 3.0, 15.0, 10.0, 1.0, 0.0, 0.0, 0.0, 0.0, 11.0, 10.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 12.0, 1.0, 15.0, 6.0, 0.0, 0.0, 0.0, 0.0, 3.0, 4.0, 15.0, 4.0, 0.0, 0.0, 0.0, 0.0, 6.0, 15.0, 6.0, 0.0, 0.0, 0.0, 4.0, 15.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 16.0, 15.0, 9.0, 3.0, 0.0, 0.0, 0.0, 0.0, 4.0, 9.0, 14.0, 7.0, 0.0], [0.0, 0.0, 3.0, 12.0, 16.0, 16.0, 6.0, 0.0, 0.0, 0.0, 10.0, 11.0, 7.0, 16.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 14.0, 10.0, 0.0, 0.0, 5.0, 11.0, 8.0, 9.0, 16.0, 3.0, 0.0, 0.0, 9.0, 16.0, 16.0, 16.0, 16.0, 9.0, 0.0, 0.0, 1.0, 4.0, 9.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 5.0, 0.0, 0.0, 0.0], [0.0, 0.0, 4.0, 8.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 8.0, 11.0, 0.0, 0.0, 0.0, 0.0, 5.0, 10.0, 0.0, 13.0, 2.0, 0.0, 0.0, 0.0, 0.0, 13.0, 4.0, 15.0, 2.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 8.0, 15.0, 14.0, 5.0, 0.0, 0.0, 0.0, 0.0, 16.0, 5.0, 14.0, 4.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 12.0, 1.0, 0.0, 0.0], [0.0, 0.0, 0.0, 1.0, 14.0, 14.0, 3.0, 0.0, 0.0, 0.0, 0.0, 10.0, 11.0, 13.0, 8.0, 0.0, 0.0, 0.0, 0.0, 7.0, 0.0, 13.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 15.0, 1.0, 0.0, 0.0, 4.0, 8.0, 12.0, 15.0, 4.0, 0.0, 0.0, 0.0, 6.0, 16.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 12.0, 12.0, 4.0, 2.0, 0.0, 0.0, 0.0, 0.0, 1.0, 13.0, 16.0, 5.0, 0.0], [0.0, 0.0, 2.0, 14.0, 15.0, 5.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 16.0, 15.0, 1.0, 0.0, 0.0, 3.0, 16.0, 10.0, 10.0, 16.0, 4.0, 0.0, 0.0, 5.0, 16.0, 0.0, 0.0, 14.0, 6.0, 0.0, 0.0, 5.0, 16.0, 6.0, 0.0, 12.0, 7.0, 0.0, 0.0, 1.0, 15.0, 13.0, 4.0, 13.0, 6.0, 0.0, 0.0, 0.0, 11.0, 16.0, 16.0, 15.0, 0.0, 0.0, 0.0, 0.0, 2.0, 11.0, 13.0, 4.0, 0.0, 0.0], [0.0, 0.0, 0.0, 0.0, 12.0, 13.0, 1.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 15.0, 2.0, 0.0, 0.0, 0.0, 10.0, 16.0, 16.0, 12.0, 0.0, 0.0, 0.0, 4.0, 16.0, 16.0, 16.0, 13.0, 0.0, 0.0, 0.0, 4.0, 7.0, 4.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 12.0, 0.0, 0.0], [0.0, 0.0, 0.0, 1.0, 9.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 16.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 7.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 7.0, 0.0, 0.0, 0.0, 0.0, 5.0, 12.0, 12.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 4.0, 9.0, 13.0, 16.0, 11.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 13.0, 3.0, 0.0], [0.0, 0.0, 0.0, 10.0, 13.0, 1.0, 0.0, 0.0, 0.0, 1.0, 11.0, 12.0, 7.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 15.0, 8.0, 4.0, 0.0, 0.0, 0.0, 4.0, 16.0, 16.0, 13.0, 16.0, 6.0, 0.0, 0.0, 0.0, 7.0, 16.0, 7.0, 13.0, 14.0, 0.0, 0.0, 0.0, 0.0, 7.0, 15.0, 15.0, 5.0, 0.0], [0.0, 1.0, 10.0, 15.0, 11.0, 1.0, 0.0, 0.0, 0.0, 3.0, 8.0, 8.0, 11.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 14.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0, 11.0, 15.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 15.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 10.0, 0.0, 0.0, 0.0, 0.0, 3.0, 4.0, 10.0, 16.0, 1.0, 0.0, 0.0, 0.0, 13.0, 16.0, 15.0, 10.0, 0.0, 0.0], [0.0, 0.0, 10.0, 15.0, 14.0, 4.0, 0.0, 0.0, 0.0, 0.0, 4.0, 6.0, 13.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 4.0, 0.0, 0.0, 1.0, 9.0, 5.0, 6.0, 16.0, 7.0, 0.0, 0.0, 0.0, 14.0, 12.0, 15.0, 11.0, 2.0, 0.0], [0.0, 0.0, 6.0, 13.0, 16.0, 6.0, 0.0, 0.0, 0.0, 3.0, 16.0, 14.0, 15.0, 16.0, 1.0, 0.0, 0.0, 0.0, 5.0, 0.0, 8.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 3.0, 0.0, 0.0, 3.0, 15.0, 16.0, 16.0, 16.0, 9.0, 0.0, 0.0, 5.0, 13.0, 14.0, 16.0, 11.0, 3.0, 0.0, 0.0, 0.0, 0.0, 12.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 7.0, 0.0, 0.0, 0.0], [0.0, 0.0, 14.0, 16.0, 14.0, 6.0, 0.0, 0.0, 0.0, 0.0, 7.0, 10.0, 16.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 13.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 7.0, 0.0, 0.0, 0.0, 5.0, 9.0, 14.0, 16.0, 7.0, 0.0, 0.0, 0.0, 13.0, 16.0, 16.0, 10.0, 1.0, 0.0], [0.0, 3.0, 16.0, 16.0, 14.0, 7.0, 1.0, 0.0, 0.0, 1.0, 9.0, 9.0, 15.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 12.0, 1.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 15.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 15.0, 0.0, 0.0, 0.0, 1.0, 10.0, 10.0, 16.0, 16.0, 3.0, 0.0, 0.0, 2.0, 13.0, 16.0, 12.0, 5.0, 0.0, 0.0], [0.0, 0.0, 0.0, 6.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 1.0, 13.0, 15.0, 1.0, 0.0, 0.0, 0.0, 1.0, 11.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 10.0, 0.0, 10.0, 6.0, 0.0, 0.0, 12.0, 16.0, 8.0, 9.0, 16.0, 12.0, 0.0, 0.0, 2.0, 15.0, 16.0, 16.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 3.0, 0.0, 0.0], [0.0, 0.0, 0.0, 9.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 13.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 15.0, 12.0, 7.0, 0.0, 0.0, 0.0, 2.0, 16.0, 12.0, 4.0, 11.0, 10.0, 0.0, 0.0, 0.0, 8.0, 14.0, 5.0, 9.0, 14.0, 0.0, 0.0, 0.0, 0.0, 6.0, 12.0, 14.0, 9.0, 0.0], [0.0, 0.0, 0.0, 10.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 15.0, 12.0, 8.0, 2.0, 0.0, 0.0, 0.0, 0.0, 12.0, 16.0, 16.0, 16.0, 10.0, 1.0, 0.0, 0.0, 7.0, 16.0, 12.0, 12.0, 16.0, 4.0, 0.0, 0.0, 0.0, 9.0, 15.0, 12.0, 5.0, 0.0], [0.0, 0.0, 5.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 2.0, 7.0, 4.0, 0.0, 0.0, 0.0, 3.0, 16.0, 16.0, 16.0, 16.0, 9.0, 0.0, 0.0, 0.0, 15.0, 15.0, 4.0, 10.0, 16.0, 0.0, 0.0, 0.0, 4.0, 14.0, 16.0, 12.0, 7.0, 0.0], [0.0, 0.0, 0.0, 9.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 3.0, 14.0, 10.0, 0.0, 2.0, 0.0, 0.0, 0.0, 10.0, 16.0, 5.0, 7.0, 15.0, 1.0, 0.0, 0.0, 2.0, 11.0, 15.0, 16.0, 13.0, 1.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 5.0, 0.0, 0.0], [0.0, 0.0, 6.0, 12.0, 13.0, 6.0, 0.0, 0.0, 0.0, 6.0, 16.0, 9.0, 12.0, 16.0, 2.0, 0.0, 0.0, 7.0, 16.0, 9.0, 15.0, 13.0, 0.0, 0.0, 0.0, 0.0, 11.0, 15.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 11.0, 0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 0.0, 14.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 16.0, 7.0, 0.0, 0.0, 0.0, 7.0, 16.0, 8.0, 16.0, 2.0, 0.0, 0.0, 0.0, 1.0, 5.0, 6.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 11.0, 0.0, 0.0], [0.0, 1.0, 13.0, 15.0, 12.0, 12.0, 5.0, 0.0, 0.0, 4.0, 16.0, 8.0, 8.0, 6.0, 0.0, 0.0, 0.0, 7.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 15.0, 13.0, 15.0, 7.0, 0.0, 0.0, 0.0, 1.0, 6.0, 5.0, 8.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 11.0, 0.0, 0.0, 0.0, 0.0, 2.0, 13.0, 14.0, 1.0, 0.0, 0.0, 0.0, 3.0, 14.0, 10.0, 1.0, 0.0, 0.0, 0.0], [0.0, 0.0, 1.0, 13.0, 10.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 16.0, 16.0, 7.0, 0.0, 0.0, 0.0, 8.0, 16.0, 13.0, 10.0, 15.0, 0.0, 0.0, 0.0, 8.0, 16.0, 2.0, 2.0, 15.0, 3.0, 0.0, 0.0, 5.0, 15.0, 2.0, 0.0, 12.0, 7.0, 0.0, 0.0, 1.0, 15.0, 6.0, 2.0, 16.0, 3.0, 0.0, 0.0, 0.0, 11.0, 15.0, 13.0, 16.0, 0.0, 0.0, 0.0, 0.0, 1.0, 15.0, 14.0, 8.0, 0.0, 0.0], [0.0, 1.0, 12.0, 13.0, 4.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 16.0, 16.0, 3.0, 0.0, 0.0, 0.0, 4.0, 16.0, 16.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 14.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 7.0, 0.0, 0.0, 1.0, 2.0, 3.0, 7.0, 14.0, 10.0, 0.0, 0.0, 2.0, 12.0, 16.0, 14.0, 12.0, 3.0, 0.0], [0.0, 0.0, 13.0, 13.0, 8.0, 2.0, 0.0, 0.0, 0.0, 5.0, 16.0, 16.0, 16.0, 12.0, 0.0, 0.0, 0.0, 1.0, 15.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 13.0, 7.0, 1.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 16.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 9.0, 16.0, 3.0, 0.0, 0.0, 0.0, 1.0, 5.0, 14.0, 15.0, 1.0, 0.0, 0.0, 0.0, 10.0, 16.0, 16.0, 6.0, 0.0, 0.0], [0.0, 0.0, 0.0, 0.0, 9.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 5.0, 9.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 15.0, 7.0, 0.0, 0.0, 0.0, 7.0, 16.0, 16.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 14.0, 16.0, 7.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 15.0, 9.0, 0.0], [0.0, 3.0, 5.0, 14.0, 13.0, 6.0, 0.0, 0.0, 0.0, 9.0, 16.0, 12.0, 10.0, 12.0, 0.0, 0.0, 0.0, 6.0, 16.0, 3.0, 12.0, 11.0, 0.0, 0.0, 0.0, 1.0, 13.0, 10.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 1.0, 15.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 12.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 15.0, 16.0, 5.0, 0.0, 0.0], [0.0, 0.0, 0.0, 0.0, 11.0, 15.0, 4.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 16.0, 12.0, 0.0, 0.0, 0.0, 0.0, 8.0, 14.0, 16.0, 12.0, 0.0, 0.0, 0.0, 0.0, 5.0, 10.0, 16.0, 6.0, 0.0, 0.0, 1.0, 7.0, 11.0, 16.0, 13.0, 0.0, 0.0, 0.0, 9.0, 16.0, 16.0, 14.0, 1.0, 0.0, 0.0, 0.0, 3.0, 8.0, 14.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 11.0, 16.0, 12.0, 0.0], [0.0, 0.0, 10.0, 12.0, 10.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 16.0, 16.0, 4.0, 0.0, 0.0, 0.0, 7.0, 15.0, 3.0, 8.0, 13.0, 0.0, 0.0, 0.0, 8.0, 12.0, 0.0, 0.0, 14.0, 1.0, 0.0, 0.0, 8.0, 12.0, 0.0, 0.0, 7.0, 8.0, 0.0, 0.0, 5.0, 13.0, 0.0, 0.0, 4.0, 8.0, 0.0, 0.0, 0.0, 14.0, 8.0, 0.0, 10.0, 8.0, 0.0, 0.0, 0.0, 7.0, 12.0, 13.0, 12.0, 4.0, 0.0], [0.0, 0.0, 4.0, 14.0, 11.0, 0.0, 0.0, 0.0, 0.0, 3.0, 15.0, 15.0, 16.0, 9.0, 0.0, 0.0, 0.0, 8.0, 13.0, 0.0, 3.0, 15.0, 1.0, 0.0, 0.0, 8.0, 12.0, 0.0, 0.0, 8.0, 6.0, 0.0, 0.0, 8.0, 12.0, 0.0, 0.0, 8.0, 8.0, 0.0, 0.0, 5.0, 13.0, 1.0, 0.0, 8.0, 8.0, 0.0, 0.0, 2.0, 15.0, 14.0, 12.0, 15.0, 6.0, 0.0, 0.0, 0.0, 5.0, 16.0, 15.0, 8.0, 0.0, 0.0], [0.0, 0.0, 0.0, 1.0, 14.0, 13.0, 1.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 16.0, 3.0, 0.0, 0.0, 5.0, 11.0, 15.0, 16.0, 16.0, 0.0, 0.0, 0.0, 4.0, 15.0, 16.0, 16.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 13.0, 15.0, 2.0, 0.0], [0.0, 0.0, 3.0, 14.0, 16.0, 14.0, 0.0, 0.0, 0.0, 0.0, 13.0, 13.0, 13.0, 16.0, 2.0, 0.0, 0.0, 0.0, 1.0, 0.0, 9.0, 15.0, 0.0, 0.0, 0.0, 0.0, 9.0, 12.0, 15.0, 16.0, 10.0, 0.0, 0.0, 4.0, 16.0, 16.0, 16.0, 11.0, 3.0, 0.0, 0.0, 0.0, 4.0, 9.0, 14.0, 2.0, 0.0, 0.0, 0.0, 0.0, 2.0, 15.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 13.0, 1.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 10.0, 15.0, 3.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 13.0, 8.0, 1.0, 0.0, 0.0, 0.0, 0.0, 15.0, 16.0, 16.0, 15.0, 6.0, 0.0, 0.0, 0.0, 10.0, 16.0, 14.0, 16.0, 14.0, 2.0, 0.0, 0.0, 1.0, 9.0, 15.0, 16.0, 11.0, 0.0], [0.0, 2.0, 13.0, 15.0, 10.0, 4.0, 0.0, 0.0, 0.0, 0.0, 5.0, 4.0, 13.0, 15.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 13.0, 0.0, 0.0, 0.0, 1.0, 6.0, 8.0, 14.0, 12.0, 0.0, 0.0, 0.0, 2.0, 12.0, 14.0, 11.0, 1.0, 0.0, 0.0], [0.0, 1.0, 13.0, 15.0, 2.0, 0.0, 0.0, 0.0, 0.0, 6.0, 15.0, 15.0, 9.0, 0.0, 0.0, 0.0, 0.0, 9.0, 8.0, 10.0, 13.0, 0.0, 0.0, 0.0, 0.0, 5.0, 3.0, 12.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 5.0, 15.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 15.0, 12.0, 12.0, 11.0, 0.0, 0.0, 1.0, 11.0, 13.0, 16.0, 16.0, 12.0, 0.0], [0.0, 0.0, 0.0, 1.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 16.0, 11.0, 0.0, 0.0, 0.0, 7.0, 12.0, 16.0, 16.0, 7.0, 0.0, 0.0, 0.0, 4.0, 8.0, 12.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 13.0, 5.0, 0.0, 0.0], [0.0, 0.0, 2.0, 7.0, 15.0, 13.0, 1.0, 0.0, 0.0, 0.0, 14.0, 12.0, 9.0, 14.0, 8.0, 0.0, 0.0, 0.0, 2.0, 0.0, 0.0, 12.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 6.0, 0.0, 0.0, 5.0, 16.0, 16.0, 16.0, 16.0, 5.0, 0.0, 0.0, 2.0, 5.0, 7.0, 13.0, 14.0, 2.0, 0.0, 0.0, 0.0, 0.0, 1.0, 15.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 9.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 9.0, 16.0, 4.0, 0.0, 0.0, 0.0, 1.0, 9.0, 16.0, 13.0, 2.0, 0.0, 0.0, 0.0, 14.0, 16.0, 14.0, 8.0, 0.0, 0.0, 0.0, 1.0, 15.0, 15.0, 5.0, 16.0, 9.0, 0.0, 0.0, 0.0, 5.0, 16.0, 16.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 2.0, 13.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 13.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 10.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 16.0, 15.0, 6.0, 0.0, 0.0, 0.0, 0.0, 12.0, 16.0, 12.0, 15.0, 6.0, 0.0, 0.0, 0.0, 7.0, 16.0, 10.0, 13.0, 14.0, 0.0, 0.0, 0.0, 0.0, 9.0, 13.0, 11.0, 6.0, 0.0], [0.0, 0.0, 13.0, 16.0, 15.0, 4.0, 0.0, 0.0, 0.0, 0.0, 9.0, 8.0, 13.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 15.0, 0.0, 0.0, 0.0, 0.0, 3.0, 6.0, 15.0, 16.0, 7.0, 0.0, 0.0, 0.0, 15.0, 16.0, 16.0, 11.0, 1.0, 0.0], [0.0, 0.0, 0.0, 1.0, 12.0, 8.0, 1.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 16.0, 1.0, 0.0, 0.0, 0.0, 1.0, 13.0, 16.0, 11.0, 0.0, 0.0, 0.0, 1.0, 11.0, 16.0, 16.0, 12.0, 0.0, 0.0, 0.0, 2.0, 12.0, 8.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 13.0, 4.0, 0.0, 0.0], [0.0, 4.0, 14.0, 16.0, 16.0, 12.0, 1.0, 0.0, 0.0, 2.0, 12.0, 7.0, 14.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 15.0, 11.0, 0.0, 0.0, 0.0, 1.0, 8.0, 10.0, 16.0, 10.0, 0.0, 0.0, 0.0, 5.0, 16.0, 16.0, 15.0, 1.0, 0.0, 0.0], [0.0, 0.0, 9.0, 13.0, 14.0, 5.0, 0.0, 0.0, 0.0, 4.0, 16.0, 10.0, 13.0, 16.0, 0.0, 0.0, 0.0, 0.0, 13.0, 15.0, 14.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 3.0, 7.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 3.0, 0.0, 0.0, 1.0, 15.0, 5.0, 8.0, 16.0, 2.0, 0.0, 0.0, 0.0, 7.0, 15.0, 16.0, 9.0, 0.0, 0.0], [0.0, 0.0, 0.0, 11.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 16.0, 5.0, 0.0, 0.0, 0.0, 11.0, 16.0, 16.0, 16.0, 3.0, 0.0, 0.0, 0.0, 5.0, 8.0, 14.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 8.0, 0.0, 0.0], [0.0, 0.0, 3.0, 12.0, 16.0, 10.0, 0.0, 0.0, 0.0, 2.0, 14.0, 12.0, 12.0, 12.0, 0.0, 0.0, 0.0, 5.0, 10.0, 0.0, 10.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 14.0, 9.0, 2.0, 0.0, 0.0, 0.0, 8.0, 16.0, 16.0, 16.0, 10.0, 0.0, 0.0, 0.0, 6.0, 16.0, 13.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 13.0, 0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 11.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 13.0, 3.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 16.0, 16.0, 5.0, 0.0, 0.0, 0.0, 1.0, 10.0, 16.0, 16.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 16.0, 15.0, 0.0, 0.0], [0.0, 1.0, 9.0, 16.0, 15.0, 10.0, 0.0, 0.0, 0.0, 6.0, 16.0, 8.0, 7.0, 16.0, 3.0, 0.0, 0.0, 0.0, 11.0, 14.0, 16.0, 11.0, 1.0, 0.0, 0.0, 1.0, 13.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 8.0, 15.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 5.0, 14.0, 10.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 7.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 8.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 3.0, 14.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 12.0, 1.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 5.0, 3.0, 0.0, 0.0, 0.0, 3.0, 15.0, 11.0, 5.0, 16.0, 2.0, 0.0, 0.0, 5.0, 16.0, 11.0, 11.0, 16.0, 6.0, 0.0, 0.0, 0.0, 6.0, 12.0, 16.0, 13.0, 3.0, 0.0, 0.0, 0.0, 0.0, 1.0, 15.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 7.0, 0.0, 0.0], [0.0, 2.0, 15.0, 16.0, 16.0, 13.0, 2.0, 0.0, 0.0, 1.0, 10.0, 8.0, 14.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 1.0, 0.0, 0.0, 2.0, 14.0, 13.0, 16.0, 16.0, 3.0, 0.0, 0.0, 2.0, 15.0, 16.0, 14.0, 5.0, 0.0, 0.0], [0.0, 0.0, 1.0, 15.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 16.0, 13.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 16.0, 13.0, 0.0, 0.0, 0.0, 0.0, 1.0, 11.0, 16.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 14.0, 16.0, 3.0, 0.0, 0.0], [0.0, 0.0, 0.0, 2.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 5.0, 2.0, 0.0, 0.0, 0.0, 0.0, 15.0, 12.0, 1.0, 16.0, 4.0, 0.0, 0.0, 4.0, 16.0, 2.0, 9.0, 16.0, 8.0, 0.0, 0.0, 0.0, 10.0, 14.0, 16.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 6.0, 0.0, 0.0], [0.0, 0.0, 1.0, 12.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 14.0, 3.0, 0.0, 0.0, 0.0, 2.0, 16.0, 14.0, 11.0, 13.0, 0.0, 0.0, 0.0, 2.0, 16.0, 10.0, 0.0, 14.0, 4.0, 0.0, 0.0, 4.0, 16.0, 0.0, 0.0, 12.0, 4.0, 0.0, 0.0, 4.0, 16.0, 3.0, 0.0, 11.0, 10.0, 0.0, 0.0, 0.0, 13.0, 12.0, 8.0, 14.0, 6.0, 0.0, 0.0, 0.0, 3.0, 10.0, 16.0, 12.0, 1.0, 0.0], [0.0, 0.0, 12.0, 16.0, 16.0, 8.0, 0.0, 0.0, 0.0, 3.0, 16.0, 13.0, 8.0, 5.0, 0.0, 0.0, 0.0, 2.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 13.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 10.0, 13.0, 0.0, 0.0, 0.0, 0.0, 2.0, 11.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 12.0, 0.0, 0.0, 0.0], [0.0, 4.0, 13.0, 16.0, 16.0, 12.0, 3.0, 0.0, 0.0, 3.0, 7.0, 4.0, 13.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 8.0, 15.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 12.0, 0.0, 0.0, 0.0, 0.0, 1.0, 7.0, 12.0, 11.0, 0.0, 0.0, 0.0, 0.0, 3.0, 15.0, 12.0, 2.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 8.0, 14.0, 4.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 12.0, 14.0, 6.0, 0.0, 0.0, 0.0, 0.0, 12.0, 15.0, 11.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 13.0, 8.0, 0.0, 0.0], [0.0, 0.0, 9.0, 15.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 14.0, 13.0, 7.0, 0.0, 0.0, 0.0, 0.0, 6.0, 14.0, 10.0, 13.0, 1.0, 0.0, 0.0, 0.0, 0.0, 9.0, 12.0, 15.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 14.0, 0.0, 0.0, 0.0, 3.0, 8.0, 9.0, 15.0, 15.0, 0.0, 0.0, 0.0, 5.0, 12.0, 12.0, 9.0, 1.0, 0.0], [0.0, 0.0, 0.0, 5.0, 11.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 14.0, 2.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 15.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 16.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 9.0, 15.0, 6.0, 0.0, 0.0, 0.0, 0.0, 6.0, 14.0, 16.0, 8.0, 0.0], [0.0, 0.0, 0.0, 0.0, 6.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 16.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 16.0, 15.0, 0.0, 0.0, 0.0, 3.0, 15.0, 7.0, 15.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 15.0, 0.0, 0.0], [0.0, 0.0, 2.0, 11.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 12.0, 9.0, 11.0, 15.0, 1.0, 0.0, 0.0, 0.0, 2.0, 0.0, 4.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 8.0, 15.0, 1.0, 0.0, 0.0, 4.0, 16.0, 16.0, 16.0, 15.0, 7.0, 0.0, 0.0, 3.0, 6.0, 4.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 7.0, 0.0, 0.0, 0.0], [0.0, 0.0, 15.0, 16.0, 16.0, 12.0, 2.0, 0.0, 0.0, 2.0, 16.0, 15.0, 12.0, 12.0, 3.0, 0.0, 0.0, 4.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 12.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 16.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 8.0, 0.0, 0.0, 0.0, 2.0, 6.0, 9.0, 16.0, 8.0, 0.0, 0.0, 0.0, 1.0, 15.0, 16.0, 15.0, 3.0, 0.0, 0.0], [0.0, 0.0, 0.0, 10.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 15.0, 3.0, 0.0, 0.0, 0.0, 0.0, 7.0, 15.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 11.0, 1.0, 3.0, 8.0, 2.0, 0.0, 0.0, 4.0, 12.0, 15.0, 15.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 8.0, 2.0, 0.0, 0.0, 0.0, 0.0, 10.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 9.0, 0.0, 0.0, 0.0], [0.0, 0.0, 1.0, 10.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 15.0, 4.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 1.0, 4.0, 14.0, 4.0, 0.0, 0.0, 4.0, 16.0, 12.0, 14.0, 16.0, 5.0, 0.0, 0.0, 0.0, 1.0, 7.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 13.0, 0.0, 0.0, 0.0], [0.0, 0.0, 3.0, 11.0, 16.0, 13.0, 0.0, 0.0, 0.0, 3.0, 15.0, 15.0, 13.0, 16.0, 0.0, 0.0, 0.0, 6.0, 8.0, 2.0, 9.0, 14.0, 0.0, 0.0, 0.0, 0.0, 4.0, 7.0, 15.0, 14.0, 5.0, 0.0, 0.0, 4.0, 16.0, 16.0, 16.0, 14.0, 6.0, 0.0, 0.0, 1.0, 8.0, 13.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 15.0, 1.0, 0.0, 0.0, 0.0], [0.0, 0.0, 2.0, 16.0, 13.0, 1.0, 0.0, 0.0, 0.0, 0.0, 6.0, 15.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 3.0, 6.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 1.0, 13.0, 13.0, 0.0, 0.0, 0.0, 0.0, 6.0, 14.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 16.0, 13.0, 10.0, 3.0, 0.0, 0.0, 0.0, 4.0, 11.0, 15.0, 16.0, 10.0, 0.0], [0.0, 0.0, 4.0, 9.0, 13.0, 5.0, 0.0, 0.0, 0.0, 1.0, 16.0, 16.0, 12.0, 11.0, 0.0, 0.0, 0.0, 0.0, 11.0, 8.0, 5.0, 16.0, 0.0, 0.0, 0.0, 0.0, 7.0, 10.0, 13.0, 10.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 15.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 9.0, 14.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 8.0, 0.0, 0.0], [0.0, 0.0, 0.0, 8.0, 15.0, 8.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 12.0, 16.0, 4.0, 0.0, 0.0, 0.0, 2.0, 10.0, 1.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 15.0, 3.0, 0.0, 0.0, 0.0, 3.0, 16.0, 14.0, 4.0, 0.0, 0.0, 0.0, 0.0, 4.0, 15.0, 14.0, 7.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 12.0, 14.0, 4.0, 0.0], [0.0, 0.0, 1.0, 10.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 11.0, 13.0, 10.0, 16.0, 0.0, 0.0, 0.0, 0.0, 12.0, 1.0, 4.0, 16.0, 1.0, 0.0, 0.0, 0.0, 1.0, 0.0, 13.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 12.0, 0.0, 0.0, 0.0, 0.0, 2.0, 13.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0, 4.0, 15.0, 14.0, 7.0, 4.0, 0.0, 0.0, 0.0, 0.0, 1.0, 11.0, 14.0, 15.0, 5.0, 0.0], [0.0, 2.0, 15.0, 16.0, 16.0, 14.0, 2.0, 0.0, 0.0, 3.0, 16.0, 14.0, 9.0, 10.0, 1.0, 0.0, 0.0, 7.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 14.0, 15.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 13.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 11.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 13.0, 1.0, 0.0, 0.0, 0.0], [0.0, 0.0, 9.0, 12.0, 15.0, 15.0, 2.0, 0.0, 0.0, 1.0, 15.0, 14.0, 11.0, 16.0, 7.0, 0.0, 0.0, 0.0, 2.0, 0.0, 2.0, 16.0, 4.0, 0.0, 0.0, 0.0, 2.0, 4.0, 10.0, 15.0, 2.0, 0.0, 0.0, 0.0, 13.0, 16.0, 16.0, 16.0, 9.0, 0.0, 0.0, 0.0, 13.0, 16.0, 10.0, 1.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 9.0, 0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 12.0, 14.0, 1.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 10.0, 5.0, 0.0, 0.0, 0.0, 0.0, 8.0, 13.0, 5.0, 14.0, 0.0, 0.0, 0.0, 0.0, 2.0, 14.0, 16.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 10.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 0.0, 0.0, 0.0, 2.0, 6.0, 4.0, 9.0, 16.0, 0.0, 0.0, 0.0, 1.0, 11.0, 16.0, 15.0, 7.0, 0.0], [0.0, 0.0, 6.0, 13.0, 2.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 16.0, 16.0, 11.0, 0.0, 0.0, 0.0, 0.0, 12.0, 11.0, 1.0, 6.0, 1.0, 0.0, 0.0, 0.0, 12.0, 14.0, 10.0, 2.0, 0.0, 0.0, 0.0, 0.0, 1.0, 8.0, 12.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 14.0, 0.0, 0.0, 0.0, 0.0, 4.0, 9.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 9.0, 14.0, 4.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 12.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 13.0, 11.0, 12.0, 2.0, 0.0, 0.0, 12.0, 16.0, 10.0, 15.0, 16.0, 9.0, 0.0, 0.0, 4.0, 14.0, 16.0, 16.0, 12.0, 4.0, 0.0, 0.0, 0.0, 0.0, 14.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 13.0, 0.0, 0.0, 0.0], [0.0, 0.0, 3.0, 6.0, 14.0, 5.0, 0.0, 0.0, 0.0, 0.0, 7.0, 15.0, 15.0, 13.0, 0.0, 0.0, 0.0, 0.0, 3.0, 14.0, 13.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 13.0, 1.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 9.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 4.0, 15.0, 2.0, 0.0, 0.0, 0.0, 0.0, 4.0, 15.0, 14.0, 0.0, 0.0, 0.0], [0.0, 0.0, 5.0, 14.0, 15.0, 4.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 16.0, 14.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 15.0, 14.0, 5.0, 0.0, 0.0, 0.0, 0.0, 12.0, 12.0, 8.0, 15.0, 1.0, 0.0, 0.0, 0.0, 5.0, 16.0, 16.0, 16.0, 2.0, 0.0], [0.0, 0.0, 0.0, 8.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 11.0, 0.0, 0.0, 0.0, 0.0, 1.0, 15.0, 14.0, 1.0, 6.0, 0.0, 0.0, 0.0, 7.0, 16.0, 5.0, 3.0, 16.0, 8.0, 0.0, 0.0, 8.0, 16.0, 8.0, 14.0, 16.0, 2.0, 0.0, 0.0, 0.0, 6.0, 14.0, 16.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 15.0, 0.0, 0.0, 0.0], [0.0, 0.0, 12.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 5.0, 12.0, 3.0, 0.0, 0.0, 0.0, 0.0, 14.0, 6.0, 3.0, 16.0, 2.0, 0.0, 0.0, 0.0, 2.0, 14.0, 16.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 8.0, 0.0, 0.0, 0.0, 0.0, 8.0, 2.0, 13.0, 7.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 16.0, 3.0, 0.0, 0.0], [0.0, 0.0, 3.0, 12.0, 10.0, 1.0, 0.0, 0.0, 0.0, 1.0, 16.0, 16.0, 16.0, 10.0, 0.0, 0.0, 0.0, 5.0, 16.0, 13.0, 6.0, 16.0, 1.0, 0.0, 0.0, 5.0, 16.0, 7.0, 0.0, 13.0, 3.0, 0.0, 0.0, 5.0, 16.0, 4.0, 0.0, 13.0, 7.0, 0.0, 0.0, 1.0, 16.0, 8.0, 0.0, 14.0, 7.0, 0.0, 0.0, 0.0, 13.0, 14.0, 13.0, 16.0, 3.0, 0.0, 0.0, 0.0, 2.0, 13.0, 15.0, 6.0, 0.0, 0.0], [0.0, 0.0, 5.0, 4.0, 9.0, 10.0, 0.0, 0.0, 0.0, 0.0, 10.0, 8.0, 11.0, 16.0, 2.0, 0.0, 0.0, 0.0, 8.0, 12.0, 14.0, 14.0, 1.0, 0.0, 0.0, 0.0, 5.0, 15.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 14.0, 13.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 13.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 5.0, 0.0, 0.0, 0.0], [0.0, 0.0, 1.0, 11.0, 15.0, 8.0, 0.0, 0.0, 0.0, 0.0, 12.0, 14.0, 10.0, 16.0, 5.0, 0.0, 0.0, 0.0, 16.0, 7.0, 13.0, 16.0, 4.0, 0.0, 0.0, 0.0, 9.0, 15.0, 13.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 15.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 4.0, 0.0, 0.0, 8.0, 16.0, 14.0, 9.0, 16.0, 4.0, 0.0, 0.0, 0.0, 2.0, 10.0, 15.0, 15.0, 2.0, 0.0], [0.0, 0.0, 7.0, 13.0, 15.0, 5.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 16.0, 12.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 15.0, 3.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 12.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 13.0, 10.0, 0.0, 0.0, 0.0], [0.0, 0.0, 2.0, 12.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 15.0, 12.0, 5.0, 0.0, 0.0, 0.0, 0.0, 15.0, 5.0, 0.0, 14.0, 0.0, 0.0, 0.0, 2.0, 15.0, 1.0, 0.0, 9.0, 7.0, 0.0, 0.0, 4.0, 10.0, 0.0, 0.0, 7.0, 8.0, 0.0, 0.0, 0.0, 12.0, 0.0, 0.0, 8.0, 10.0, 0.0, 0.0, 2.0, 15.0, 5.0, 10.0, 16.0, 1.0, 0.0, 0.0, 0.0, 5.0, 14.0, 12.0, 4.0, 0.0, 0.0], [0.0, 0.0, 0.0, 0.0, 5.0, 15.0, 8.0, 0.0, 0.0, 0.0, 0.0, 2.0, 15.0, 16.0, 9.0, 0.0, 0.0, 0.0, 3.0, 15.0, 16.0, 16.0, 10.0, 0.0, 0.0, 7.0, 16.0, 10.0, 8.0, 16.0, 7.0, 0.0, 0.0, 0.0, 1.0, 0.0, 8.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 14.0, 0.0, 0.0], [0.0, 2.0, 15.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 15.0, 14.0, 0.0, 0.0, 0.0, 0.0, 5.0, 13.0, 10.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 15.0, 2.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 10.0, 8.0, 6.0, 1.0, 0.0, 0.0, 2.0, 15.0, 16.0, 16.0, 16.0, 7.0, 0.0], [0.0, 3.0, 16.0, 16.0, 12.0, 12.0, 6.0, 0.0, 0.0, 0.0, 4.0, 4.0, 5.0, 14.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 14.0, 0.0, 0.0, 0.0, 0.0, 3.0, 7.0, 15.0, 4.0, 0.0, 0.0, 0.0, 3.0, 16.0, 14.0, 4.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 3.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 16.0, 4.0, 0.0, 0.0, 0.0, 7.0, 16.0, 15.0, 16.0, 12.0, 11.0, 0.0, 0.0, 8.0, 16.0, 16.0, 16.0, 13.0, 3.0, 0.0, 0.0, 0.0, 0.0, 7.0, 14.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 14.0, 0.0, 0.0, 0.0], [0.0, 4.0, 16.0, 16.0, 16.0, 10.0, 3.0, 0.0, 0.0, 12.0, 16.0, 9.0, 8.0, 12.0, 3.0, 0.0, 0.0, 10.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 16.0, 1.0, 0.0, 0.0, 0.0, 3.0, 10.0, 15.0, 15.0, 1.0, 0.0, 0.0, 0.0, 4.0, 16.0, 13.0, 3.0, 0.0, 0.0, 0.0], [0.0, 0.0, 2.0, 15.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 16.0, 15.0, 5.0, 0.0, 0.0, 0.0, 4.0, 16.0, 5.0, 3.0, 13.0, 7.0, 0.0, 0.0, 1.0, 14.0, 9.0, 0.0, 8.0, 13.0, 0.0, 0.0, 0.0, 2.0, 13.0, 16.0, 16.0, 8.0, 0.0], [0.0, 0.0, 2.0, 15.0, 15.0, 3.0, 0.0, 0.0, 0.0, 0.0, 8.0, 14.0, 16.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 14.0, 3.0, 0.0, 0.0, 0.0, 4.0, 12.0, 16.0, 16.0, 7.0, 0.0, 0.0, 0.0, 11.0, 16.0, 12.0, 1.0, 0.0, 0.0, 0.0, 0.0, 1.0, 14.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 12.0, 1.0, 0.0, 0.0, 0.0], [0.0, 0.0, 5.0, 12.0, 13.0, 2.0, 0.0, 0.0, 0.0, 3.0, 16.0, 14.0, 16.0, 13.0, 1.0, 0.0, 0.0, 4.0, 16.0, 9.0, 16.0, 12.0, 1.0, 0.0, 0.0, 1.0, 9.0, 16.0, 15.0, 1.0, 0.0, 0.0, 0.0, 1.0, 13.0, 16.0, 16.0, 5.0, 0.0, 0.0, 0.0, 3.0, 16.0, 5.0, 12.0, 16.0, 0.0, 0.0, 0.0, 3.0, 15.0, 7.0, 14.0, 12.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 13.0, 3.0, 0.0, 0.0], [0.0, 0.0, 5.0, 15.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 11.0, 13.0, 8.0, 0.0, 0.0, 0.0, 0.0, 11.0, 9.0, 10.0, 16.0, 0.0, 0.0, 0.0, 0.0, 3.0, 15.0, 16.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 8.0, 0.0, 0.0, 0.0, 6.0, 3.0, 0.0, 14.0, 6.0, 0.0, 0.0, 0.0, 2.0, 13.0, 16.0, 15.0, 3.0, 0.0], [0.0, 0.0, 12.0, 9.0, 12.0, 1.0, 0.0, 0.0, 0.0, 0.0, 14.0, 16.0, 16.0, 8.0, 0.0, 0.0, 0.0, 3.0, 16.0, 9.0, 3.0, 15.0, 2.0, 0.0, 0.0, 4.0, 16.0, 1.0, 0.0, 16.0, 5.0, 0.0, 0.0, 5.0, 12.0, 0.0, 0.0, 16.0, 5.0, 0.0, 0.0, 3.0, 14.0, 1.0, 4.0, 16.0, 4.0, 0.0, 0.0, 0.0, 15.0, 12.0, 14.0, 14.0, 0.0, 0.0, 0.0, 0.0, 7.0, 12.0, 12.0, 2.0, 0.0, 0.0], [0.0, 0.0, 0.0, 0.0, 7.0, 13.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 16.0, 8.0, 0.0, 0.0, 0.0, 1.0, 13.0, 16.0, 16.0, 3.0, 0.0, 0.0, 0.0, 12.0, 16.0, 16.0, 16.0, 0.0, 0.0, 0.0, 8.0, 16.0, 3.0, 16.0, 13.0, 0.0, 0.0, 0.0, 2.0, 3.0, 0.0, 16.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 12.0, 0.0, 0.0], [0.0, 0.0, 13.0, 14.0, 8.0, 1.0, 0.0, 0.0, 0.0, 1.0, 16.0, 16.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 3.0, 5.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 11.0, 4.0, 4.0, 0.0, 0.0, 0.0, 1.0, 13.0, 14.0, 12.0, 12.0, 0.0, 0.0], [0.0, 6.0, 16.0, 16.0, 15.0, 7.0, 0.0, 0.0, 0.0, 2.0, 11.0, 12.0, 16.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 15.0, 2.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 9.0, 0.0, 0.0, 0.0, 3.0, 7.0, 12.0, 16.0, 7.0, 0.0, 0.0, 3.0, 16.0, 16.0, 15.0, 11.0, 1.0, 0.0], [0.0, 0.0, 0.0, 5.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 15.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 13.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 15.0, 13.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 16.0, 16.0, 15.0, 9.0, 0.0, 0.0, 0.0, 4.0, 10.0, 14.0, 8.0, 5.0, 0.0, 0.0, 0.0, 0.0, 8.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 10.0, 0.0, 0.0, 0.0], [0.0, 4.0, 15.0, 16.0, 16.0, 16.0, 4.0, 0.0, 0.0, 4.0, 16.0, 15.0, 9.0, 7.0, 1.0, 0.0, 0.0, 0.0, 15.0, 14.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 5.0, 0.0, 0.0, 0.0, 3.0, 10.0, 13.0, 16.0, 4.0, 0.0, 0.0, 0.0, 5.0, 16.0, 16.0, 12.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 6.0, 14.0, 1.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 15.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 13.0, 8.0, 5.0, 0.0, 0.0, 0.0, 2.0, 16.0, 14.0, 12.0, 16.0, 3.0, 0.0, 0.0, 1.0, 16.0, 11.0, 0.0, 5.0, 12.0, 0.0, 0.0, 0.0, 11.0, 15.0, 5.0, 12.0, 12.0, 0.0, 0.0, 0.0, 0.0, 9.0, 15.0, 14.0, 6.0, 0.0], [0.0, 0.0, 3.0, 15.0, 14.0, 1.0, 0.0, 0.0, 0.0, 0.0, 13.0, 16.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 4.0, 4.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 10.0, 1.0, 0.0, 0.0, 0.0, 7.0, 16.0, 16.0, 16.0, 8.0, 0.0, 0.0, 0.0, 12.0, 15.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 12.0, 1.0, 0.0, 0.0, 0.0], [0.0, 0.0, 3.0, 13.0, 13.0, 3.0, 0.0, 0.0, 0.0, 2.0, 14.0, 12.0, 12.0, 11.0, 0.0, 0.0, 0.0, 4.0, 16.0, 8.0, 5.0, 15.0, 3.0, 0.0, 0.0, 1.0, 13.0, 14.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 13.0, 1.0, 0.0, 0.0, 0.0, 1.0, 16.0, 12.0, 13.0, 14.0, 1.0, 0.0, 0.0, 0.0, 13.0, 13.0, 9.0, 16.0, 7.0, 0.0, 0.0, 0.0, 3.0, 13.0, 16.0, 10.0, 1.0, 0.0], [0.0, 0.0, 6.0, 13.0, 10.0, 4.0, 0.0, 0.0, 0.0, 4.0, 16.0, 15.0, 13.0, 13.0, 0.0, 0.0, 0.0, 4.0, 16.0, 14.0, 16.0, 16.0, 1.0, 0.0, 0.0, 2.0, 10.0, 16.0, 16.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 2.0, 8.0, 16.0, 8.0, 0.0, 0.0, 0.0, 7.0, 16.0, 14.0, 9.0, 1.0, 0.0], [0.0, 0.0, 2.0, 12.0, 4.0, 0.0, 0.0, 0.0, 0.0, 1.0, 12.0, 16.0, 16.0, 3.0, 0.0, 0.0, 0.0, 7.0, 16.0, 6.0, 4.0, 13.0, 0.0, 0.0, 0.0, 8.0, 16.0, 6.0, 0.0, 13.0, 5.0, 0.0, 0.0, 1.0, 16.0, 5.0, 0.0, 7.0, 9.0, 0.0, 0.0, 0.0, 16.0, 8.0, 0.0, 8.0, 12.0, 0.0, 0.0, 0.0, 13.0, 14.0, 14.0, 16.0, 10.0, 0.0, 0.0, 0.0, 4.0, 14.0, 15.0, 7.0, 0.0, 0.0], [0.0, 0.0, 0.0, 0.0, 5.0, 14.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 16.0, 5.0, 0.0, 0.0, 1.0, 13.0, 15.0, 12.0, 16.0, 1.0, 0.0, 0.0, 4.0, 12.0, 3.0, 10.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 13.0, 4.0, 0.0], [0.0, 0.0, 6.0, 13.0, 10.0, 3.0, 0.0, 0.0, 0.0, 5.0, 15.0, 11.0, 16.0, 11.0, 0.0, 0.0, 0.0, 2.0, 6.0, 0.0, 16.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 5.0, 15.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 8.0, 4.0, 0.0, 0.0, 0.0, 0.0, 8.0, 14.0, 13.0, 12.0, 4.0, 0.0], [0.0, 1.0, 11.0, 12.0, 14.0, 6.0, 0.0, 0.0, 0.0, 1.0, 6.0, 4.0, 8.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 2.0, 14.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 14.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 12.0, 14.0, 0.0, 0.0, 0.0, 5.0, 12.0, 15.0, 9.0, 1.0, 0.0, 0.0], [0.0, 0.0, 0.0, 3.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 11.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 16.0, 8.0, 0.0, 0.0, 0.0, 2.0, 14.0, 12.0, 16.0, 5.0, 0.0, 0.0, 0.0, 10.0, 16.0, 14.0, 16.0, 16.0, 11.0, 0.0, 0.0, 5.0, 12.0, 13.0, 16.0, 8.0, 3.0, 0.0, 0.0, 0.0, 0.0, 2.0, 15.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 12.0, 0.0, 0.0, 0.0], [0.0, 2.0, 14.0, 16.0, 16.0, 13.0, 5.0, 0.0, 0.0, 7.0, 16.0, 13.0, 8.0, 8.0, 1.0, 0.0, 0.0, 10.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 12.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 1.0, 8.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 15.0, 1.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 16.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 12.0, 16.0, 13.0, 15.0, 8.0, 0.0, 0.0, 0.0, 12.0, 16.0, 7.0, 13.0, 15.0, 0.0, 0.0, 0.0, 1.0, 11.0, 16.0, 15.0, 9.0, 0.0], [0.0, 0.0, 10.0, 16.0, 14.0, 1.0, 0.0, 0.0, 0.0, 0.0, 14.0, 16.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 1.0, 5.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 2.0, 10.0, 16.0, 11.0, 6.0, 0.0, 0.0, 7.0, 16.0, 16.0, 15.0, 12.0, 7.0, 0.0, 0.0, 11.0, 10.0, 15.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 9.0, 0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 2.0, 13.0, 13.0, 1.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 14.0, 4.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 10.0, 8.0, 4.0, 0.0, 0.0, 0.0, 1.0, 16.0, 16.0, 10.0, 2.0, 0.0, 0.0, 2.0, 15.0, 13.0, 12.0, 0.0, 0.0, 0.0, 0.0, 5.0, 12.0, 3.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0, 14.0, 3.0, 13.0, 4.0, 0.0, 0.0, 0.0, 0.0, 3.0, 15.0, 13.0, 1.0, 0.0, 0.0], [0.0, 0.0, 5.0, 13.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 14.0, 14.0, 5.0, 0.0, 0.0, 0.0, 0.0, 12.0, 7.0, 8.0, 16.0, 1.0, 0.0, 0.0, 0.0, 4.0, 13.0, 16.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 6.0, 0.0, 0.0, 0.0, 2.0, 7.0, 8.0, 16.0, 4.0, 0.0, 0.0, 0.0, 6.0, 12.0, 13.0, 10.0, 0.0, 0.0], [0.0, 0.0, 5.0, 14.0, 10.0, 7.0, 0.0, 0.0, 0.0, 0.0, 16.0, 16.0, 16.0, 16.0, 3.0, 0.0, 0.0, 3.0, 16.0, 10.0, 2.0, 16.0, 7.0, 0.0, 0.0, 7.0, 16.0, 3.0, 0.0, 12.0, 8.0, 0.0, 0.0, 8.0, 16.0, 1.0, 0.0, 12.0, 8.0, 0.0, 0.0, 7.0, 16.0, 5.0, 2.0, 16.0, 4.0, 0.0, 0.0, 2.0, 16.0, 15.0, 14.0, 13.0, 0.0, 0.0, 0.0, 0.0, 7.0, 15.0, 13.0, 2.0, 0.0, 0.0], [0.0, 0.0, 2.0, 13.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 15.0, 5.0, 0.0, 0.0, 0.0, 0.0, 1.0, 15.0, 12.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 5.0, 0.0, 0.0, 0.0, 4.0, 4.0, 6.0, 16.0, 3.0, 0.0, 0.0, 0.0, 2.0, 14.0, 16.0, 10.0, 0.0, 0.0], [0.0, 5.0, 16.0, 16.0, 16.0, 11.0, 1.0, 0.0, 0.0, 4.0, 16.0, 15.0, 10.0, 8.0, 1.0, 0.0, 0.0, 4.0, 16.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 13.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 4.0, 13.0, 16.0, 2.0, 0.0, 0.0, 0.0, 2.0, 15.0, 16.0, 9.0, 0.0, 0.0, 0.0], [0.0, 6.0, 16.0, 16.0, 16.0, 15.0, 10.0, 0.0, 0.0, 9.0, 16.0, 13.0, 8.0, 6.0, 5.0, 0.0, 0.0, 12.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 15.0, 15.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 13.0, 0.0, 0.0, 0.0, 0.0, 1.0, 5.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 11.0, 0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 5.0, 13.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 8.0, 15.0, 9.0, 1.0, 0.0, 0.0, 4.0, 16.0, 16.0, 12.0, 15.0, 11.0, 0.0, 0.0, 1.0, 15.0, 14.0, 4.0, 14.0, 11.0, 0.0, 0.0, 0.0, 5.0, 14.0, 14.0, 10.0, 1.0, 0.0], [0.0, 2.0, 15.0, 16.0, 16.0, 13.0, 2.0, 0.0, 0.0, 7.0, 16.0, 13.0, 8.0, 8.0, 3.0, 0.0, 0.0, 4.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 13.0, 11.0, 0.0, 0.0, 0.0, 0.0, 3.0, 8.0, 15.0, 8.0, 0.0, 0.0, 0.0, 0.0, 2.0, 15.0, 15.0, 1.0, 0.0, 0.0, 0.0], [0.0, 0.0, 5.0, 16.0, 15.0, 1.0, 0.0, 0.0, 0.0, 1.0, 15.0, 9.0, 10.0, 12.0, 0.0, 0.0, 0.0, 3.0, 16.0, 1.0, 0.0, 16.0, 4.0, 0.0, 0.0, 6.0, 16.0, 0.0, 0.0, 11.0, 6.0, 0.0, 0.0, 3.0, 16.0, 1.0, 0.0, 11.0, 8.0, 0.0, 0.0, 4.0, 16.0, 4.0, 3.0, 15.0, 4.0, 0.0, 0.0, 1.0, 13.0, 13.0, 13.0, 14.0, 1.0, 0.0, 0.0, 0.0, 4.0, 13.0, 14.0, 1.0, 0.0, 0.0], [0.0, 0.0, 2.0, 13.0, 8.0, 6.0, 0.0, 0.0, 0.0, 0.0, 7.0, 14.0, 14.0, 16.0, 0.0, 0.0, 0.0, 0.0, 7.0, 9.0, 3.0, 16.0, 4.0, 0.0, 0.0, 0.0, 5.0, 14.0, 15.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 3.0, 2.0, 13.0, 5.0, 0.0, 0.0, 0.0, 3.0, 0.0, 0.0, 12.0, 6.0, 0.0, 0.0, 1.0, 12.0, 6.0, 0.0, 11.0, 7.0, 0.0, 0.0, 0.0, 3.0, 12.0, 16.0, 16.0, 1.0, 0.0], [0.0, 0.0, 6.0, 15.0, 13.0, 3.0, 0.0, 0.0, 0.0, 0.0, 13.0, 14.0, 15.0, 12.0, 0.0, 0.0, 0.0, 0.0, 14.0, 11.0, 13.0, 15.0, 5.0, 0.0, 0.0, 0.0, 9.0, 16.0, 15.0, 8.0, 0.0, 0.0, 0.0, 2.0, 16.0, 16.0, 16.0, 2.0, 0.0, 0.0, 0.0, 8.0, 16.0, 2.0, 14.0, 10.0, 0.0, 0.0, 0.0, 5.0, 16.0, 9.0, 14.0, 11.0, 0.0, 0.0, 0.0, 0.0, 8.0, 14.0, 13.0, 2.0, 0.0, 0.0], [0.0, 0.0, 6.0, 15.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 11.0, 13.0, 4.0, 0.0, 0.0, 0.0, 0.0, 11.0, 7.0, 7.0, 13.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 16.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 13.0, 0.0, 0.0, 0.0, 2.0, 11.0, 0.0, 11.0, 12.0, 0.0, 0.0, 0.0, 5.0, 16.0, 14.0, 9.0, 4.0, 0.0], [0.0, 0.0, 2.0, 13.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 14.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 6.0, 14.0, 5.0, 2.0, 0.0, 0.0, 0.0, 2.0, 14.0, 12.0, 14.0, 0.0, 0.0, 0.0, 0.0, 1.0, 15.0, 13.0, 2.0, 0.0, 0.0, 0.0, 0.0, 11.0, 13.0, 14.0, 1.0, 0.0, 0.0, 0.0, 0.0, 13.0, 8.0, 10.0, 4.0, 0.0, 0.0, 0.0, 0.0, 2.0, 11.0, 16.0, 7.0, 0.0, 0.0], [0.0, 0.0, 0.0, 8.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 16.0, 0.0, 0.0, 0.0, 0.0, 1.0, 15.0, 16.0, 16.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 15.0, 16.0, 9.0, 2.0, 0.0, 0.0, 6.0, 15.0, 16.0, 16.0, 16.0, 11.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 14.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 0.0, 14.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 16.0, 8.0, 0.0, 0.0, 0.0, 1.0, 12.0, 16.0, 16.0, 8.0, 0.0, 0.0, 5.0, 14.0, 16.0, 16.0, 16.0, 5.0, 0.0, 0.0, 1.0, 4.0, 7.0, 16.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 16.0, 0.0, 0.0], [0.0, 0.0, 7.0, 16.0, 16.0, 16.0, 13.0, 0.0, 0.0, 0.0, 8.0, 9.0, 8.0, 15.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 7.0, 0.0, 0.0, 0.0, 4.0, 8.0, 12.0, 16.0, 5.0, 0.0, 0.0, 3.0, 16.0, 16.0, 16.0, 14.0, 7.0, 0.0, 0.0, 0.0, 3.0, 8.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 3.0, 0.0, 0.0, 0.0], [0.0, 0.0, 1.0, 8.0, 10.0, 15.0, 11.0, 0.0, 0.0, 2.0, 14.0, 15.0, 13.0, 16.0, 7.0, 0.0, 0.0, 0.0, 6.0, 0.0, 6.0, 14.0, 2.0, 0.0, 0.0, 0.0, 0.0, 3.0, 11.0, 12.0, 2.0, 0.0, 0.0, 0.0, 2.0, 16.0, 16.0, 15.0, 8.0, 0.0, 0.0, 0.0, 3.0, 13.0, 15.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 5.0, 0.0, 0.0, 0.0], [0.0, 1.0, 10.0, 16.0, 16.0, 11.0, 0.0, 0.0, 0.0, 5.0, 10.0, 8.0, 12.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 1.0, 10.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 12.0, 16.0, 4.0, 0.0, 0.0, 0.0, 2.0, 4.0, 9.0, 16.0, 4.0, 0.0, 0.0, 1.0, 15.0, 14.0, 11.0, 4.0, 0.0, 0.0], [0.0, 7.0, 16.0, 16.0, 16.0, 11.0, 2.0, 0.0, 0.0, 5.0, 16.0, 12.0, 8.0, 6.0, 1.0, 0.0, 0.0, 9.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 15.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 14.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 10.0, 0.0, 0.0, 0.0, 1.0, 7.0, 13.0, 16.0, 3.0, 0.0, 0.0, 0.0, 4.0, 15.0, 16.0, 6.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 0.0, 12.0, 11.0, 1.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 16.0, 7.0, 0.0, 0.0, 0.0, 1.0, 14.0, 16.0, 16.0, 7.0, 0.0, 0.0, 1.0, 14.0, 16.0, 14.0, 16.0, 8.0, 0.0, 0.0, 5.0, 12.0, 3.0, 8.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 12.0, 0.0, 0.0], [0.0, 0.0, 6.0, 15.0, 15.0, 3.0, 0.0, 0.0, 0.0, 3.0, 16.0, 14.0, 14.0, 13.0, 0.0, 0.0, 0.0, 6.0, 15.0, 2.0, 1.0, 14.0, 5.0, 0.0, 0.0, 8.0, 14.0, 2.0, 0.0, 9.0, 8.0, 0.0, 0.0, 8.0, 16.0, 4.0, 0.0, 8.0, 8.0, 0.0, 0.0, 5.0, 16.0, 6.0, 0.0, 11.0, 9.0, 0.0, 0.0, 1.0, 16.0, 16.0, 14.0, 16.0, 9.0, 0.0, 0.0, 0.0, 5.0, 14.0, 15.0, 10.0, 1.0, 0.0], [0.0, 0.0, 0.0, 10.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 14.0, 6.0, 6.0, 15.0, 0.0, 0.0, 0.0, 4.0, 16.0, 4.0, 0.0, 15.0, 3.0, 0.0, 0.0, 5.0, 15.0, 5.0, 0.0, 11.0, 5.0, 0.0, 0.0, 0.0, 12.0, 11.0, 0.0, 13.0, 5.0, 0.0, 0.0, 0.0, 8.0, 16.0, 16.0, 16.0, 3.0, 0.0, 0.0, 0.0, 1.0, 8.0, 13.0, 8.0, 0.0, 0.0], [0.0, 0.0, 7.0, 15.0, 15.0, 4.0, 0.0, 0.0, 0.0, 8.0, 16.0, 16.0, 16.0, 4.0, 0.0, 0.0, 0.0, 8.0, 15.0, 8.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 15.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 8.0, 11.0, 9.0, 0.0, 0.0, 0.0, 9.0, 16.0, 16.0, 12.0, 3.0, 0.0], [0.0, 1.0, 12.0, 14.0, 10.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 16.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0, 2.0, 15.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 15.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 14.0, 8.0, 8.0, 3.0, 0.0, 0.0, 0.0, 10.0, 15.0, 13.0, 9.0, 4.0, 0.0], [0.0, 0.0, 5.0, 16.0, 12.0, 2.0, 0.0, 0.0, 0.0, 0.0, 4.0, 11.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 11.0, 0.0, 0.0, 0.0, 0.0, 2.0, 4.0, 14.0, 14.0, 2.0, 0.0, 0.0, 0.0, 13.0, 16.0, 16.0, 10.0, 4.0, 0.0, 0.0, 0.0, 3.0, 10.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 11.0, 0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 5.0, 15.0, 13.0, 3.0, 0.0, 0.0, 0.0, 0.0, 12.0, 15.0, 12.0, 14.0, 0.0, 0.0, 0.0, 0.0, 12.0, 12.0, 14.0, 14.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 14.0, 3.0, 0.0, 0.0, 0.0, 0.0, 9.0, 14.0, 15.0, 3.0, 0.0, 0.0, 0.0, 1.0, 15.0, 5.0, 8.0, 12.0, 1.0, 0.0, 0.0, 0.0, 16.0, 4.0, 4.0, 16.0, 4.0, 0.0, 0.0, 0.0, 5.0, 16.0, 16.0, 12.0, 2.0, 0.0], [0.0, 0.0, 11.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 5.0, 13.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 15.0, 9.0, 7.0, 2.0, 0.0, 0.0, 0.0, 12.0, 14.0, 13.0, 12.0, 5.0, 0.0], [0.0, 0.0, 2.0, 15.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 16.0, 16.0, 9.0, 0.0, 0.0, 0.0, 5.0, 16.0, 9.0, 6.0, 16.0, 4.0, 0.0, 0.0, 5.0, 16.0, 3.0, 1.0, 14.0, 7.0, 0.0, 0.0, 6.0, 16.0, 4.0, 0.0, 16.0, 8.0, 0.0, 0.0, 3.0, 16.0, 12.0, 6.0, 16.0, 12.0, 0.0, 0.0, 0.0, 14.0, 16.0, 16.0, 16.0, 4.0, 0.0, 0.0, 0.0, 2.0, 13.0, 15.0, 8.0, 0.0, 0.0], [0.0, 0.0, 0.0, 1.0, 11.0, 14.0, 5.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 16.0, 5.0, 0.0, 0.0, 0.0, 10.0, 16.0, 16.0, 16.0, 1.0, 0.0, 0.0, 5.0, 16.0, 16.0, 16.0, 16.0, 0.0, 0.0, 0.0, 1.0, 5.0, 11.0, 16.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 10.0, 0.0, 0.0], [0.0, 0.0, 9.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 16.0, 15.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 14.0, 16.0, 2.0, 0.0, 0.0, 0.0, 3.0, 6.0, 12.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 6.0, 1.0, 3.0, 0.0, 0.0, 0.0, 9.0, 16.0, 13.0, 15.0, 8.0, 0.0, 0.0, 0.0, 7.0, 16.0, 16.0, 8.0, 1.0, 0.0], [0.0, 0.0, 4.0, 14.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 15.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 12.0, 8.0, 3.0, 0.0, 0.0, 0.0, 2.0, 16.0, 14.0, 8.0, 12.0, 9.0, 0.0, 0.0, 0.0, 16.0, 13.0, 4.0, 12.0, 12.0, 0.0, 0.0, 0.0, 6.0, 15.0, 16.0, 12.0, 1.0, 0.0], [0.0, 4.0, 12.0, 13.0, 13.0, 6.0, 0.0, 0.0, 0.0, 6.0, 14.0, 8.0, 13.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 9.0, 0.0, 0.0, 0.0, 1.0, 4.0, 12.0, 16.0, 8.0, 0.0, 0.0, 2.0, 13.0, 16.0, 12.0, 6.0, 0.0, 0.0], [0.0, 2.0, 15.0, 15.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 13.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 14.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 5.0, 0.0, 0.0, 1.0, 4.0, 6.0, 13.0, 15.0, 1.0, 0.0, 0.0, 3.0, 15.0, 14.0, 11.0, 2.0, 0.0, 0.0], [0.0, 0.0, 15.0, 15.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 15.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 12.0, 16.0, 13.0, 9.0, 0.0, 0.0, 7.0, 16.0, 16.0, 16.0, 10.0, 5.0, 0.0, 0.0, 1.0, 5.0, 16.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 15.0, 3.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0], [0.0, 1.0, 10.0, 15.0, 16.0, 13.0, 3.0, 0.0, 0.0, 5.0, 14.0, 5.0, 5.0, 15.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 15.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 6.0, 0.0, 0.0, 0.0, 2.0, 3.0, 13.0, 12.0, 0.0, 0.0, 0.0, 0.0, 15.0, 13.0, 7.0, 0.0, 0.0, 0.0], [0.0, 2.0, 14.0, 16.0, 14.0, 4.0, 0.0, 0.0, 0.0, 4.0, 11.0, 5.0, 13.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 15.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 13.0, 13.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 4.0, 0.0, 0.0, 0.0, 1.0, 3.0, 11.0, 15.0, 2.0, 0.0, 0.0, 1.0, 12.0, 16.0, 9.0, 2.0, 0.0, 0.0], [0.0, 0.0, 0.0, 0.0, 11.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 4.0, 15.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 12.0, 6.0, 16.0, 3.0, 0.0, 0.0, 0.0, 5.0, 15.0, 0.0, 15.0, 5.0, 3.0, 0.0, 0.0, 6.0, 16.0, 16.0, 16.0, 11.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 2.0, 0.0, 0.0], [0.0, 0.0, 0.0, 6.0, 14.0, 3.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 15.0, 2.0, 0.0, 0.0, 0.0, 0.0, 1.0, 15.0, 13.0, 2.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 16.0, 16.0, 7.0, 0.0, 0.0, 0.0, 4.0, 16.0, 14.0, 8.0, 13.0, 7.0, 0.0, 0.0, 0.0, 12.0, 16.0, 5.0, 12.0, 10.0, 0.0, 0.0, 0.0, 0.0, 8.0, 14.0, 13.0, 5.0, 0.0], [0.0, 0.0, 1.0, 14.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 10.0, 8.0, 3.0, 0.0, 0.0, 0.0, 0.0, 16.0, 13.0, 12.0, 14.0, 7.0, 0.0, 0.0, 0.0, 14.0, 9.0, 4.0, 11.0, 13.0, 0.0, 0.0, 0.0, 2.0, 12.0, 16.0, 12.0, 4.0, 0.0], [0.0, 0.0, 2.0, 14.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 12.0, 12.0, 11.0, 1.0, 0.0, 0.0, 4.0, 16.0, 14.0, 10.0, 14.0, 11.0, 0.0, 0.0, 2.0, 15.0, 10.0, 6.0, 16.0, 10.0, 0.0, 0.0, 0.0, 3.0, 15.0, 16.0, 10.0, 1.0, 0.0], [0.0, 0.0, 0.0, 2.0, 15.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0, 1.0, 14.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 16.0, 15.0, 4.0, 2.0, 0.0, 0.0, 9.0, 16.0, 16.0, 16.0, 16.0, 11.0, 0.0, 0.0, 3.0, 8.0, 8.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 15.0, 0.0, 0.0, 0.0], [0.0, 0.0, 6.0, 15.0, 5.0, 0.0, 0.0, 0.0, 0.0, 1.0, 15.0, 15.0, 15.0, 3.0, 0.0, 0.0, 0.0, 2.0, 16.0, 6.0, 11.0, 14.0, 0.0, 0.0, 0.0, 0.0, 15.0, 14.0, 15.0, 16.0, 1.0, 0.0, 0.0, 0.0, 3.0, 8.0, 10.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 4.0, 10.0, 16.0, 8.0, 0.0, 0.0, 0.0, 7.0, 12.0, 13.0, 12.0, 1.0, 0.0], [0.0, 0.0, 0.0, 0.0, 11.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 15.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 11.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 16.0, 10.0, 0.0, 0.0, 0.0, 4.0, 16.0, 12.0, 16.0, 12.0, 0.0, 0.0, 0.0, 3.0, 10.0, 3.0, 16.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 11.0, 0.0, 0.0], [0.0, 2.0, 16.0, 16.0, 16.0, 14.0, 5.0, 0.0, 0.0, 9.0, 16.0, 11.0, 6.0, 8.0, 3.0, 0.0, 0.0, 9.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 13.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 1.0, 11.0, 16.0, 6.0, 0.0, 0.0, 0.0, 4.0, 16.0, 16.0, 8.0, 0.0, 0.0, 0.0], [0.0, 0.0, 4.0, 15.0, 11.0, 1.0, 0.0, 0.0, 0.0, 2.0, 14.0, 14.0, 16.0, 8.0, 0.0, 0.0, 0.0, 8.0, 15.0, 2.0, 3.0, 13.0, 0.0, 0.0, 0.0, 4.0, 16.0, 0.0, 0.0, 12.0, 7.0, 0.0, 0.0, 7.0, 16.0, 0.0, 0.0, 12.0, 8.0, 0.0, 0.0, 3.0, 16.0, 6.0, 1.0, 14.0, 9.0, 0.0, 0.0, 0.0, 15.0, 16.0, 16.0, 16.0, 2.0, 0.0, 0.0, 0.0, 4.0, 13.0, 14.0, 6.0, 0.0, 0.0], [0.0, 0.0, 10.0, 15.0, 7.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 13.0, 11.0, 11.0, 0.0, 0.0, 0.0, 10.0, 16.0, 12.0, 15.0, 16.0, 4.0, 0.0, 0.0, 3.0, 12.0, 12.0, 14.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 4.0, 0.0, 0.0, 0.0, 4.0, 4.0, 15.0, 15.0, 0.0, 0.0, 0.0, 1.0, 12.0, 15.0, 12.0, 3.0, 0.0, 0.0], [0.0, 4.0, 16.0, 16.0, 16.0, 16.0, 5.0, 0.0, 0.0, 11.0, 16.0, 8.0, 5.0, 8.0, 3.0, 0.0, 0.0, 10.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 11.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 12.0, 1.0, 0.0, 0.0, 0.0], [0.0, 0.0, 3.0, 13.0, 12.0, 2.0, 0.0, 0.0, 0.0, 0.0, 14.0, 13.0, 15.0, 11.0, 0.0, 0.0, 0.0, 0.0, 7.0, 0.0, 8.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 12.0, 8.0, 1.0, 0.0, 0.0, 0.0, 3.0, 16.0, 11.0, 8.0, 0.0, 0.0], [0.0, 0.0, 10.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 15.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 9.0, 16.0, 8.0, 2.0, 0.0, 0.0, 0.0, 5.0, 14.0, 16.0, 11.0, 1.0, 0.0, 0.0, 0.0, 3.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 11.0, 16.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 7.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 13.0, 1.0, 0.0, 0.0], [0.0, 0.0, 5.0, 14.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 16.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 8.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 12.0, 11.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 12.0, 7.0, 0.0, 0.0], [0.0, 0.0, 2.0, 12.0, 12.0, 2.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 16.0, 9.0, 0.0, 0.0, 0.0, 3.0, 16.0, 16.0, 8.0, 15.0, 3.0, 0.0, 0.0, 6.0, 16.0, 6.0, 0.0, 13.0, 8.0, 0.0, 0.0, 8.0, 16.0, 4.0, 0.0, 15.0, 8.0, 0.0, 0.0, 5.0, 16.0, 8.0, 12.0, 16.0, 6.0, 0.0, 0.0, 0.0, 15.0, 16.0, 16.0, 15.0, 2.0, 0.0, 0.0, 0.0, 3.0, 13.0, 12.0, 3.0, 0.0, 0.0], [0.0, 0.0, 0.0, 14.0, 7.0, 0.0, 0.0, 0.0, 0.0, 1.0, 9.0, 16.0, 16.0, 3.0, 0.0, 0.0, 0.0, 4.0, 16.0, 8.0, 11.0, 11.0, 0.0, 0.0, 0.0, 3.0, 16.0, 7.0, 4.0, 16.0, 4.0, 0.0, 0.0, 8.0, 16.0, 4.0, 0.0, 16.0, 8.0, 0.0, 0.0, 5.0, 16.0, 10.0, 0.0, 13.0, 11.0, 0.0, 0.0, 0.0, 13.0, 16.0, 16.0, 16.0, 9.0, 0.0, 0.0, 0.0, 2.0, 10.0, 13.0, 6.0, 0.0, 0.0], [0.0, 0.0, 0.0, 0.0, 7.0, 14.0, 7.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 16.0, 9.0, 0.0, 0.0, 0.0, 6.0, 15.0, 16.0, 16.0, 6.0, 0.0, 0.0, 5.0, 16.0, 16.0, 16.0, 16.0, 2.0, 0.0, 0.0, 4.0, 8.0, 8.0, 16.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 1.0, 13.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 15.0, 0.0, 0.0], [0.0, 0.0, 8.0, 16.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 14.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 1.0, 12.0, 16.0, 13.0, 12.0, 1.0, 0.0, 0.0, 11.0, 16.0, 16.0, 14.0, 9.0, 0.0, 0.0, 0.0, 10.0, 16.0, 14.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 9.0, 0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 3.0, 14.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 7.0, 4.0, 2.0, 0.0, 0.0, 0.0, 4.0, 16.0, 16.0, 16.0, 16.0, 7.0, 0.0, 0.0, 1.0, 14.0, 15.0, 4.0, 11.0, 15.0, 0.0, 0.0, 0.0, 5.0, 14.0, 16.0, 12.0, 6.0, 0.0], [0.0, 2.0, 14.0, 16.0, 12.0, 6.0, 0.0, 0.0, 0.0, 1.0, 10.0, 8.0, 14.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 15.0, 2.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 2.0, 0.0, 0.0, 0.0, 7.0, 10.0, 15.0, 15.0, 2.0, 0.0, 0.0, 3.0, 13.0, 11.0, 7.0, 2.0, 0.0, 0.0], [0.0, 0.0, 10.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 16.0, 16.0, 0.0, 0.0, 0.0, 0.0, 2.0, 12.0, 9.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 16.0, 8.0, 5.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 16.0, 16.0, 2.0, 0.0], [0.0, 0.0, 0.0, 0.0, 7.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 15.0, 0.0, 0.0, 0.0, 0.0, 12.0, 16.0, 16.0, 11.0, 0.0, 0.0, 0.0, 5.0, 16.0, 6.0, 15.0, 12.0, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 12.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 15.0, 4.0, 0.0], [0.0, 0.0, 9.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 14.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 10.0, 1.0, 0.0, 0.0, 1.0, 12.0, 16.0, 16.0, 16.0, 9.0, 0.0, 0.0, 1.0, 11.0, 16.0, 11.0, 4.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 11.0, 0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 15.0, 16.0, 11.0, 3.0, 0.0, 0.0, 0.0, 0.0, 4.0, 10.0, 15.0, 15.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 11.0, 1.0, 0.0, 0.0, 0.0, 0.0, 2.0, 13.0, 16.0, 9.0, 0.0, 0.0, 0.0, 6.0, 15.0, 16.0, 12.0, 3.0, 0.0, 0.0, 0.0, 15.0, 14.0, 7.0, 1.0, 0.0, 0.0], [0.0, 0.0, 0.0, 0.0, 3.0, 15.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 16.0, 4.0, 0.0, 0.0, 0.0, 10.0, 16.0, 16.0, 16.0, 4.0, 0.0, 0.0, 4.0, 16.0, 7.0, 8.0, 16.0, 4.0, 0.0, 0.0, 1.0, 4.0, 0.0, 10.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 1.0, 0.0], [0.0, 1.0, 12.0, 12.0, 13.0, 8.0, 1.0, 0.0, 0.0, 0.0, 8.0, 9.0, 15.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 7.0, 0.0, 0.0, 0.0, 3.0, 8.0, 15.0, 13.0, 2.0, 0.0, 0.0, 2.0, 14.0, 16.0, 10.0, 1.0, 0.0, 0.0], [0.0, 0.0, 11.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 11.0, 13.0, 9.0, 0.0, 0.0, 0.0, 7.0, 16.0, 0.0, 9.0, 16.0, 0.0, 0.0, 0.0, 2.0, 15.0, 12.0, 16.0, 16.0, 3.0, 0.0, 0.0, 0.0, 5.0, 7.0, 7.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 5.0, 0.0, 0.0, 0.0, 3.0, 7.0, 16.0, 11.0, 0.0, 0.0, 0.0, 0.0, 13.0, 16.0, 11.0, 1.0, 0.0, 0.0], [0.0, 0.0, 0.0, 4.0, 14.0, 14.0, 5.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 16.0, 7.0, 0.0, 0.0, 0.0, 5.0, 15.0, 16.0, 15.0, 3.0, 0.0, 0.0, 4.0, 15.0, 16.0, 16.0, 12.0, 0.0, 0.0, 0.0, 5.0, 16.0, 16.0, 16.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 16.0, 13.0, 1.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 4.0, 14.0, 15.0, 6.0, 0.0], [0.0, 0.0, 4.0, 15.0, 16.0, 16.0, 5.0, 0.0, 0.0, 0.0, 6.0, 9.0, 11.0, 16.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 3.0, 14.0, 16.0, 10.0, 0.0, 0.0, 0.0, 7.0, 16.0, 16.0, 11.0, 3.0, 0.0, 0.0, 0.0, 8.0, 15.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 14.0, 2.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 8.0, 12.0, 1.0, 0.0, 0.0, 0.0, 0.0, 1.0, 15.0, 12.0, 1.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 16.0, 14.0, 5.0, 0.0, 0.0, 0.0, 1.0, 12.0, 16.0, 6.0, 14.0, 9.0, 0.0, 0.0, 0.0, 2.0, 16.0, 6.0, 10.0, 15.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 16.0, 11.0, 0.0], [0.0, 0.0, 0.0, 10.0, 12.0, 3.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 15.0, 14.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 10.0, 16.0, 1.0, 0.0, 0.0, 0.0, 5.0, 16.0, 16.0, 10.0, 1.0, 0.0, 0.0, 1.0, 16.0, 12.0, 16.0, 8.0, 0.0, 0.0, 0.0, 1.0, 16.0, 3.0, 4.0, 16.0, 4.0, 0.0, 0.0, 0.0, 12.0, 11.0, 4.0, 16.0, 9.0, 0.0, 0.0, 0.0, 2.0, 10.0, 14.0, 13.0, 4.0, 0.0], [0.0, 0.0, 0.0, 7.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 16.0, 2.0, 0.0, 0.0, 0.0, 2.0, 16.0, 16.0, 16.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 16.0, 16.0, 16.0, 8.0, 0.0, 0.0, 8.0, 15.0, 15.0, 14.0, 8.0, 5.0, 0.0, 0.0, 0.0, 0.0, 11.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 15.0, 1.0, 0.0, 0.0], [0.0, 2.0, 11.0, 16.0, 16.0, 8.0, 1.0, 0.0, 0.0, 2.0, 12.0, 9.0, 9.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 2.0, 15.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 16.0, 3.0, 0.0, 0.0, 0.0, 4.0, 11.0, 16.0, 8.0, 0.0, 0.0, 0.0, 3.0, 15.0, 12.0, 4.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 1.0, 16.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 16.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 16.0, 16.0, 1.0, 0.0, 0.0, 6.0, 16.0, 14.0, 16.0, 15.0, 0.0, 0.0, 0.0, 1.0, 3.0, 5.0, 16.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 15.0, 12.0, 0.0, 0.0], [0.0, 0.0, 0.0, 2.0, 15.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 16.0, 0.0, 0.0, 0.0, 0.0, 3.0, 15.0, 16.0, 16.0, 0.0, 0.0, 0.0, 0.0, 12.0, 16.0, 16.0, 16.0, 14.0, 6.0, 0.0, 0.0, 6.0, 12.0, 14.0, 16.0, 12.0, 5.0, 0.0, 0.0, 0.0, 0.0, 8.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 14.0, 1.0, 0.0, 0.0], [0.0, 0.0, 4.0, 12.0, 10.0, 1.0, 0.0, 0.0, 0.0, 3.0, 16.0, 13.0, 15.0, 10.0, 0.0, 0.0, 0.0, 5.0, 16.0, 2.0, 1.0, 14.0, 3.0, 0.0, 0.0, 8.0, 13.0, 0.0, 0.0, 10.0, 8.0, 0.0, 0.0, 8.0, 12.0, 0.0, 0.0, 8.0, 8.0, 0.0, 0.0, 8.0, 14.0, 0.0, 0.0, 11.0, 8.0, 0.0, 0.0, 3.0, 16.0, 14.0, 13.0, 16.0, 2.0, 0.0, 0.0, 0.0, 8.0, 16.0, 13.0, 5.0, 0.0, 0.0], [0.0, 3.0, 15.0, 13.0, 12.0, 8.0, 1.0, 0.0, 0.0, 4.0, 16.0, 14.0, 12.0, 12.0, 2.0, 0.0, 0.0, 0.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 15.0, 10.0, 0.0, 0.0, 0.0, 0.0, 2.0, 15.0, 16.0, 2.0, 0.0, 0.0, 0.0], [0.0, 0.0, 5.0, 11.0, 16.0, 16.0, 8.0, 0.0, 0.0, 0.0, 15.0, 14.0, 8.0, 12.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 14.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 12.0, 1.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 14.0, 9.0, 0.0, 0.0, 0.0, 0.0, 1.0, 4.0, 15.0, 9.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 11.0, 2.0, 0.0, 0.0], [0.0, 0.0, 0.0, 11.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 1.0, 15.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 12.0, 8.0, 2.0, 0.0, 0.0, 0.0, 7.0, 16.0, 16.0, 12.0, 14.0, 3.0, 0.0, 0.0, 4.0, 16.0, 8.0, 0.0, 10.0, 9.0, 0.0, 0.0, 1.0, 12.0, 15.0, 9.0, 14.0, 10.0, 0.0, 0.0, 0.0, 2.0, 10.0, 13.0, 11.0, 1.0, 0.0], [0.0, 0.0, 5.0, 15.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 16.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 13.0, 14.0, 14.0, 15.0, 0.0, 0.0, 0.0, 0.0, 3.0, 11.0, 14.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 1.0, 11.0, 16.0, 6.0, 0.0, 0.0, 0.0, 4.0, 15.0, 16.0, 10.0, 0.0, 0.0], [0.0, 0.0, 3.0, 15.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 7.0, 1.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 1.0, 6.0, 1.0, 0.0, 0.0, 0.0, 3.0, 15.0, 8.0, 12.0, 13.0, 3.0, 0.0, 0.0, 2.0, 16.0, 2.0, 0.0, 7.0, 12.0, 0.0, 0.0, 0.0, 13.0, 9.0, 4.0, 9.0, 15.0, 0.0, 0.0, 0.0, 3.0, 13.0, 16.0, 15.0, 5.0, 0.0], [0.0, 0.0, 0.0, 0.0, 10.0, 13.0, 7.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 16.0, 11.0, 0.0, 0.0, 0.0, 4.0, 14.0, 16.0, 16.0, 7.0, 0.0, 0.0, 3.0, 14.0, 16.0, 16.0, 16.0, 4.0, 0.0, 0.0, 7.0, 16.0, 16.0, 16.0, 16.0, 4.0, 0.0, 0.0, 0.0, 2.0, 13.0, 16.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 13.0, 16.0, 1.0, 0.0], [0.0, 0.0, 9.0, 15.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 16.0, 16.0, 16.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 11.0, 0.0, 0.0, 0.0, 0.0, 2.0, 7.0, 16.0, 13.0, 10.0, 0.0, 0.0, 2.0, 15.0, 16.0, 16.0, 12.0, 4.0, 0.0, 0.0, 3.0, 13.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 13.0, 0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 13.0, 16.0, 12.0, 7.0, 0.0, 0.0, 0.0, 4.0, 16.0, 15.0, 12.0, 12.0, 3.0, 0.0, 0.0, 4.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 14.0, 0.0, 0.0, 0.0, 0.0, 1.0, 9.0, 14.0, 16.0, 0.0, 0.0, 0.0, 0.0, 1.0, 13.0, 16.0, 10.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 3.0, 13.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 1.0, 15.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 16.0, 1.0, 0.0, 0.0, 0.0, 2.0, 16.0, 14.0, 16.0, 5.0, 1.0, 0.0, 0.0, 11.0, 16.0, 16.0, 16.0, 16.0, 10.0, 0.0, 0.0, 5.0, 8.0, 11.0, 16.0, 4.0, 1.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 2.0, 0.0, 0.0], [0.0, 0.0, 0.0, 0.0, 15.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 16.0, 1.0, 1.0, 0.0, 0.0, 6.0, 16.0, 16.0, 16.0, 15.0, 9.0, 0.0, 0.0, 7.0, 15.0, 16.0, 16.0, 10.0, 1.0, 0.0, 0.0, 0.0, 1.0, 7.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 15.0, 5.0, 0.0, 0.0], [0.0, 0.0, 7.0, 15.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 14.0, 15.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 9.0, 2.0, 0.0, 0.0, 5.0, 14.0, 16.0, 15.0, 11.0, 4.0, 0.0, 0.0, 5.0, 7.0, 12.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 11.0, 0.0, 0.0, 0.0, 0.0], [0.0, 2.0, 15.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 16.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 5.0, 13.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 16.0, 16.0, 14.0, 6.0, 0.0, 0.0, 1.0, 16.0, 16.0, 16.0, 12.0, 7.0, 0.0], [0.0, 0.0, 2.0, 12.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 15.0, 9.0, 1.0, 0.0, 0.0, 0.0, 6.0, 14.0, 13.0, 15.0, 3.0, 0.0, 0.0, 0.0, 1.0, 16.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 14.0, 0.0, 0.0, 0.0, 0.0, 1.0, 15.0, 9.0, 16.0, 5.0, 0.0, 0.0, 0.0, 2.0, 13.0, 13.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 1.0, 11.0, 12.0, 5.0, 0.0, 0.0], [0.0, 2.0, 15.0, 15.0, 5.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 16.0, 11.0, 0.0, 0.0, 0.0, 0.0, 9.0, 15.0, 16.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 1.0, 14.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 14.0, 14.0, 16.0, 5.0, 0.0, 0.0, 2.0, 14.0, 16.0, 13.0, 9.0, 1.0, 0.0], [0.0, 0.0, 4.0, 14.0, 16.0, 4.0, 0.0, 0.0, 0.0, 3.0, 16.0, 16.0, 16.0, 6.0, 0.0, 0.0, 0.0, 8.0, 16.0, 12.0, 16.0, 7.0, 0.0, 0.0, 0.0, 3.0, 5.0, 12.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 12.0, 5.0, 1.0, 0.0, 0.0, 0.0, 4.0, 16.0, 16.0, 15.0, 4.0, 0.0], [0.0, 3.0, 11.0, 15.0, 12.0, 7.0, 1.0, 0.0, 0.0, 4.0, 16.0, 13.0, 11.0, 9.0, 6.0, 0.0, 0.0, 4.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 12.0, 0.0, 0.0, 0.0, 0.0, 1.0, 7.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 5.0, 13.0, 6.0, 0.0, 0.0, 0.0, 0.0], [0.0, 4.0, 13.0, 9.0, 8.0, 3.0, 0.0, 0.0, 0.0, 5.0, 16.0, 14.0, 12.0, 12.0, 6.0, 0.0, 0.0, 8.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 11.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 0.0, 0.0, 0.0, 0.0, 1.0, 1.0, 12.0, 14.0, 0.0, 0.0, 0.0, 0.0, 4.0, 14.0, 14.0, 3.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 0.0, 13.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 3.0, 15.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 8.0, 15.0, 16.0, 10.0, 1.0, 0.0, 0.0, 4.0, 16.0, 14.0, 16.0, 16.0, 11.0, 0.0, 0.0, 7.0, 16.0, 13.0, 15.0, 14.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 11.0, 0.0, 0.0], [0.0, 0.0, 3.0, 14.0, 13.0, 1.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 11.0, 15.0, 1.0, 0.0, 0.0, 0.0, 2.0, 14.0, 16.0, 15.0, 2.0, 0.0, 0.0, 0.0, 6.0, 16.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 15.0, 11.0, 10.0, 12.0, 0.0, 0.0, 0.0, 1.0, 16.0, 11.0, 11.0, 15.0, 0.0, 0.0, 0.0, 0.0, 5.0, 13.0, 15.0, 7.0, 0.0, 0.0], [0.0, 0.0, 2.0, 16.0, 10.0, 1.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 16.0, 12.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 16.0, 15.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 15.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 13.0, 8.0, 9.0, 13.0, 0.0, 0.0, 0.0, 0.0, 12.0, 10.0, 7.0, 16.0, 0.0, 0.0, 0.0, 0.0, 3.0, 13.0, 15.0, 10.0, 0.0, 0.0], [0.0, 0.0, 0.0, 5.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 1.0, 15.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 16.0, 1.0, 0.0, 0.0, 0.0, 3.0, 16.0, 16.0, 15.0, 4.0, 2.0, 0.0, 0.0, 10.0, 16.0, 16.0, 16.0, 16.0, 12.0, 0.0, 0.0, 1.0, 7.0, 14.0, 13.0, 6.0, 5.0, 0.0, 0.0, 0.0, 0.0, 11.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 10.0, 0.0, 0.0, 0.0], [0.0, 0.0, 7.0, 16.0, 11.0, 1.0, 0.0, 0.0, 0.0, 1.0, 15.0, 12.0, 12.0, 12.0, 0.0, 0.0, 0.0, 2.0, 16.0, 2.0, 6.0, 16.0, 2.0, 0.0, 0.0, 1.0, 16.0, 6.0, 6.0, 16.0, 6.0, 0.0, 0.0, 0.0, 7.0, 16.0, 15.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 11.0, 0.0, 0.0, 0.0, 3.0, 3.0, 6.0, 16.0, 5.0, 0.0, 0.0, 0.0, 8.0, 16.0, 14.0, 6.0, 0.0, 0.0], [0.0, 0.0, 2.0, 14.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 15.0, 15.0, 8.0, 0.0, 0.0, 0.0, 2.0, 16.0, 7.0, 4.0, 15.0, 0.0, 0.0, 0.0, 4.0, 16.0, 4.0, 0.0, 13.0, 7.0, 0.0, 0.0, 4.0, 16.0, 1.0, 0.0, 10.0, 8.0, 0.0, 0.0, 4.0, 16.0, 5.0, 1.0, 12.0, 11.0, 0.0, 0.0, 1.0, 15.0, 14.0, 13.0, 16.0, 3.0, 0.0, 0.0, 0.0, 3.0, 12.0, 13.0, 5.0, 0.0, 0.0], [0.0, 0.0, 0.0, 12.0, 15.0, 6.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 13.0, 15.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 16.0, 12.0, 1.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 14.0, 1.0, 0.0, 0.0, 0.0, 7.0, 16.0, 15.0, 10.0, 0.0, 0.0, 0.0, 1.0, 16.0, 8.0, 2.0, 14.0, 5.0, 0.0, 0.0, 0.0, 12.0, 10.0, 4.0, 12.0, 7.0, 0.0, 0.0, 0.0, 2.0, 11.0, 16.0, 13.0, 3.0, 0.0], [0.0, 0.0, 3.0, 12.0, 5.0, 0.0, 0.0, 0.0, 0.0, 1.0, 15.0, 14.0, 16.0, 6.0, 0.0, 0.0, 0.0, 6.0, 16.0, 0.0, 6.0, 16.0, 6.0, 0.0, 0.0, 5.0, 16.0, 11.0, 14.0, 16.0, 4.0, 0.0, 0.0, 0.0, 8.0, 10.0, 12.0, 16.0, 0.0, 0.0, 0.0, 0.0, 1.0, 1.0, 7.0, 15.0, 1.0, 0.0, 0.0, 0.0, 8.0, 10.0, 10.0, 16.0, 2.0, 0.0, 0.0, 0.0, 2.0, 13.0, 14.0, 7.0, 0.0, 0.0], [0.0, 0.0, 5.0, 14.0, 15.0, 2.0, 0.0, 0.0, 0.0, 0.0, 13.0, 14.0, 9.0, 10.0, 0.0, 0.0, 0.0, 0.0, 15.0, 8.0, 2.0, 15.0, 3.0, 0.0, 0.0, 0.0, 11.0, 12.0, 9.0, 14.0, 2.0, 0.0, 0.0, 0.0, 7.0, 16.0, 14.0, 2.0, 0.0, 0.0, 0.0, 0.0, 13.0, 14.0, 16.0, 4.0, 0.0, 0.0, 0.0, 3.0, 15.0, 8.0, 14.0, 10.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 16.0, 8.0, 0.0, 0.0], [0.0, 0.0, 4.0, 11.0, 15.0, 8.0, 0.0, 0.0, 0.0, 0.0, 13.0, 16.0, 11.0, 13.0, 7.0, 0.0, 0.0, 3.0, 16.0, 12.0, 0.0, 4.0, 8.0, 0.0, 0.0, 6.0, 16.0, 5.0, 0.0, 4.0, 8.0, 0.0, 0.0, 7.0, 9.0, 0.0, 0.0, 9.0, 7.0, 0.0, 0.0, 4.0, 10.0, 0.0, 2.0, 15.0, 2.0, 0.0, 0.0, 1.0, 16.0, 12.0, 14.0, 10.0, 0.0, 0.0, 0.0, 0.0, 4.0, 14.0, 14.0, 1.0, 0.0, 0.0], [0.0, 0.0, 0.0, 13.0, 15.0, 8.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 14.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 16.0, 15.0, 2.0, 0.0, 0.0, 0.0, 0.0, 1.0, 13.0, 16.0, 4.0, 0.0, 0.0], [0.0, 0.0, 6.0, 14.0, 8.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 10.0, 14.0, 4.0, 0.0, 0.0, 0.0, 11.0, 5.0, 0.0, 11.0, 4.0, 0.0, 0.0, 0.0, 4.0, 6.0, 2.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 10.0, 8.0, 8.0, 4.0, 0.0, 0.0, 0.0, 7.0, 14.0, 14.0, 14.0, 13.0, 0.0], [0.0, 0.0, 10.0, 16.0, 10.0, 1.0, 0.0, 0.0, 0.0, 6.0, 14.0, 6.0, 16.0, 3.0, 0.0, 0.0, 0.0, 5.0, 4.0, 5.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 14.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 11.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 8.0, 0.0, 0.0, 0.0, 9.0, 8.0, 8.0, 15.0, 6.0, 0.0, 0.0, 0.0, 9.0, 15.0, 15.0, 9.0, 0.0, 0.0], [0.0, 0.0, 0.0, 12.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 15.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 5.0, 0.0, 4.0, 4.0, 0.0, 0.0, 4.0, 15.0, 2.0, 3.0, 15.0, 9.0, 0.0, 0.0, 2.0, 15.0, 16.0, 16.0, 16.0, 4.0, 0.0, 0.0, 0.0, 2.0, 8.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 9.0, 0.0, 0.0, 0.0], [0.0, 0.0, 6.0, 8.0, 12.0, 14.0, 0.0, 0.0, 0.0, 5.0, 16.0, 15.0, 12.0, 7.0, 0.0, 0.0, 0.0, 8.0, 16.0, 13.0, 4.0, 0.0, 0.0, 0.0, 0.0, 2.0, 11.0, 8.0, 14.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 5.0, 0.0, 0.0, 1.0, 9.0, 8.0, 12.0, 14.0, 1.0, 0.0, 0.0, 0.0, 10.0, 15.0, 12.0, 3.0, 0.0, 0.0], [0.0, 0.0, 3.0, 13.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 15.0, 2.0, 0.0, 0.0, 0.0, 0.0, 2.0, 15.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 14.0, 14.0, 16.0, 13.0, 2.0, 0.0, 0.0, 3.0, 16.0, 9.0, 1.0, 4.0, 12.0, 0.0, 0.0, 0.0, 14.0, 10.0, 5.0, 11.0, 11.0, 0.0, 0.0, 0.0, 3.0, 13.0, 15.0, 8.0, 0.0, 0.0], [0.0, 0.0, 6.0, 16.0, 16.0, 16.0, 16.0, 10.0, 0.0, 0.0, 6.0, 10.0, 8.0, 14.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 8.0, 0.0, 0.0, 0.0, 2.0, 10.0, 14.0, 15.0, 6.0, 0.0, 0.0, 0.0, 6.0, 16.0, 16.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 15.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 13.0, 1.0, 0.0, 0.0, 0.0], [0.0, 0.0, 1.0, 10.0, 13.0, 13.0, 1.0, 0.0, 0.0, 1.0, 13.0, 10.0, 4.0, 14.0, 4.0, 0.0, 0.0, 8.0, 13.0, 0.0, 7.0, 12.0, 0.0, 0.0, 0.0, 2.0, 12.0, 14.0, 15.0, 2.0, 0.0, 0.0, 0.0, 0.0, 5.0, 15.0, 15.0, 2.0, 0.0, 0.0, 0.0, 0.0, 8.0, 7.0, 3.0, 13.0, 3.0, 0.0, 0.0, 0.0, 8.0, 8.0, 0.0, 13.0, 4.0, 0.0, 0.0, 0.0, 1.0, 11.0, 16.0, 16.0, 2.0, 0.0], [0.0, 0.0, 6.0, 12.0, 13.0, 5.0, 0.0, 0.0, 0.0, 2.0, 16.0, 9.0, 8.0, 15.0, 2.0, 0.0, 0.0, 8.0, 12.0, 0.0, 3.0, 15.0, 8.0, 0.0, 0.0, 4.0, 15.0, 12.0, 16.0, 13.0, 1.0, 0.0, 0.0, 0.0, 2.0, 2.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 14.0, 0.0, 0.0, 0.0], [0.0, 0.0, 4.0, 13.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 16.0, 15.0, 7.0, 0.0, 0.0, 0.0, 3.0, 16.0, 9.0, 6.0, 15.0, 6.0, 0.0, 0.0, 8.0, 14.0, 0.0, 0.0, 4.0, 8.0, 0.0, 0.0, 8.0, 12.0, 0.0, 0.0, 4.0, 8.0, 0.0, 0.0, 4.0, 12.0, 0.0, 0.0, 11.0, 6.0, 0.0, 0.0, 0.0, 14.0, 10.0, 12.0, 14.0, 1.0, 0.0, 0.0, 0.0, 7.0, 15.0, 11.0, 2.0, 0.0, 0.0], [0.0, 0.0, 0.0, 0.0, 14.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 12.0, 16.0, 16.0, 4.0, 0.0, 0.0, 0.0, 1.0, 13.0, 12.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 10.0, 0.0, 0.0], [0.0, 0.0, 10.0, 16.0, 11.0, 0.0, 0.0, 0.0, 0.0, 8.0, 15.0, 10.0, 15.0, 2.0, 0.0, 0.0, 0.0, 11.0, 11.0, 2.0, 16.0, 5.0, 0.0, 0.0, 0.0, 7.0, 5.0, 6.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 1.0, 15.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 14.0, 8.0, 10.0, 5.0, 0.0, 0.0, 0.0, 12.0, 16.0, 16.0, 16.0, 15.0, 0.0], [0.0, 0.0, 6.0, 15.0, 16.0, 10.0, 0.0, 0.0, 0.0, 3.0, 16.0, 11.0, 15.0, 10.0, 0.0, 0.0, 0.0, 4.0, 10.0, 10.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 15.0, 3.0, 0.0, 0.0, 0.0, 0.0, 1.0, 9.0, 16.0, 15.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 6.0, 0.0, 0.0, 0.0, 3.0, 9.0, 12.0, 16.0, 5.0, 0.0, 0.0, 0.0, 9.0, 16.0, 16.0, 8.0, 0.0, 0.0], [0.0, 0.0, 0.0, 13.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 15.0, 1.0, 1.0, 4.0, 0.0, 0.0, 6.0, 16.0, 10.0, 9.0, 15.0, 14.0, 0.0, 0.0, 9.0, 16.0, 16.0, 16.0, 16.0, 4.0, 0.0, 0.0, 2.0, 8.0, 12.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 15.0, 1.0, 0.0, 0.0], [0.0, 0.0, 15.0, 16.0, 16.0, 15.0, 9.0, 0.0, 0.0, 6.0, 16.0, 13.0, 12.0, 12.0, 11.0, 2.0, 0.0, 3.0, 15.0, 14.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 8.0, 0.0, 0.0, 0.0, 0.0, 1.0, 14.0, 14.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 16.0, 3.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 13.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 15.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 3.0, 0.0, 2.0, 0.0, 0.0, 0.0, 0.0, 16.0, 13.0, 16.0, 16.0, 6.0, 0.0, 0.0, 1.0, 16.0, 11.0, 4.0, 7.0, 12.0, 0.0, 0.0, 0.0, 11.0, 12.0, 5.0, 13.0, 9.0, 0.0, 0.0, 0.0, 1.0, 12.0, 15.0, 11.0, 2.0, 0.0], [0.0, 0.0, 4.0, 12.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 15.0, 12.0, 12.0, 11.0, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 9.0, 7.0, 0.0, 0.0, 0.0, 0.0, 4.0, 7.0, 15.0, 13.0, 7.0, 0.0, 0.0, 6.0, 16.0, 16.0, 15.0, 10.0, 3.0, 0.0, 0.0, 1.0, 4.0, 12.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 12.0, 0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 2.0, 12.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 12.0, 7.0, 1.0, 13.0, 4.0, 0.0, 0.0, 3.0, 16.0, 0.0, 8.0, 12.0, 0.0, 0.0, 0.0, 4.0, 16.0, 11.0, 14.0, 1.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 12.0, 15.0, 2.0, 0.0, 0.0, 0.0, 0.0, 8.0, 7.0, 13.0, 4.0, 0.0, 0.0, 0.0, 0.0, 3.0, 13.0, 16.0, 3.0, 0.0, 0.0], [0.0, 0.0, 4.0, 14.0, 16.0, 15.0, 1.0, 0.0, 0.0, 5.0, 16.0, 8.0, 4.0, 16.0, 7.0, 0.0, 0.0, 8.0, 13.0, 0.0, 4.0, 16.0, 12.0, 0.0, 0.0, 7.0, 16.0, 15.0, 16.0, 13.0, 3.0, 0.0, 0.0, 0.0, 6.0, 12.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 2.0, 0.0, 0.0, 0.0], [0.0, 0.0, 5.0, 15.0, 12.0, 8.0, 0.0, 0.0, 0.0, 0.0, 13.0, 16.0, 10.0, 13.0, 3.0, 0.0, 0.0, 5.0, 16.0, 9.0, 0.0, 8.0, 4.0, 0.0, 0.0, 4.0, 13.0, 1.0, 0.0, 4.0, 8.0, 0.0, 0.0, 4.0, 8.0, 0.0, 0.0, 8.0, 4.0, 0.0, 0.0, 1.0, 14.0, 0.0, 0.0, 11.0, 3.0, 0.0, 0.0, 0.0, 12.0, 9.0, 9.0, 15.0, 0.0, 0.0, 0.0, 0.0, 4.0, 14.0, 15.0, 4.0, 0.0, 0.0], [0.0, 0.0, 0.0, 4.0, 13.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 16.0, 1.0, 0.0, 0.0, 0.0, 3.0, 14.0, 16.0, 13.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 16.0, 5.0, 0.0, 0.0, 0.0, 3.0, 15.0, 16.0, 16.0, 4.0, 0.0, 0.0, 0.0, 4.0, 16.0, 16.0, 16.0, 6.0, 0.0, 0.0, 0.0, 2.0, 8.0, 15.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 14.0, 12.0, 0.0, 0.0], [0.0, 1.0, 13.0, 16.0, 16.0, 4.0, 0.0, 0.0, 0.0, 9.0, 15.0, 6.0, 13.0, 8.0, 0.0, 0.0, 0.0, 5.0, 10.0, 0.0, 12.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 13.0, 8.0, 8.0, 5.0, 0.0, 0.0, 1.0, 10.0, 14.0, 16.0, 16.0, 16.0, 0.0], [0.0, 0.0, 8.0, 14.0, 14.0, 4.0, 0.0, 0.0, 0.0, 5.0, 12.0, 4.0, 7.0, 12.0, 0.0, 0.0, 0.0, 4.0, 2.0, 3.0, 13.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 9.0, 14.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 8.0, 0.0, 0.0, 0.0, 3.0, 4.0, 4.0, 13.0, 7.0, 0.0, 0.0, 0.0, 11.0, 16.0, 15.0, 5.0, 0.0, 0.0], [0.0, 0.0, 1.0, 11.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 5.0, 0.0, 1.0, 2.0, 0.0, 0.0, 6.0, 16.0, 2.0, 1.0, 13.0, 10.0, 0.0, 0.0, 7.0, 16.0, 9.0, 15.0, 13.0, 0.0, 0.0, 0.0, 2.0, 9.0, 12.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 7.0, 0.0, 0.0, 0.0], [0.0, 0.0, 11.0, 7.0, 12.0, 15.0, 1.0, 0.0, 0.0, 1.0, 16.0, 14.0, 9.0, 6.0, 0.0, 0.0, 0.0, 8.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 14.0, 15.0, 15.0, 5.0, 0.0, 0.0, 0.0, 1.0, 6.0, 4.0, 10.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 11.0, 0.0, 0.0, 0.0, 0.0, 10.0, 4.0, 13.0, 8.0, 0.0, 0.0, 0.0, 0.0, 12.0, 16.0, 10.0, 1.0, 0.0, 0.0], [0.0, 0.0, 4.0, 12.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 12.0, 7.0, 12.0, 6.0, 2.0, 0.0, 0.0, 4.0, 15.0, 15.0, 12.0, 13.0, 11.0, 0.0, 0.0, 1.0, 13.0, 16.0, 5.0, 11.0, 12.0, 0.0, 0.0, 0.0, 5.0, 13.0, 16.0, 11.0, 1.0, 0.0], [0.0, 0.0, 4.0, 13.0, 16.0, 16.0, 16.0, 10.0, 0.0, 0.0, 11.0, 15.0, 12.0, 13.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 11.0, 0.0, 0.0, 0.0, 1.0, 0.0, 5.0, 15.0, 2.0, 0.0, 0.0, 0.0, 14.0, 13.0, 15.0, 15.0, 6.0, 0.0, 0.0, 0.0, 15.0, 16.0, 15.0, 9.0, 2.0, 0.0, 0.0, 0.0, 1.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 14.0, 2.0, 0.0, 0.0, 0.0], [0.0, 0.0, 2.0, 11.0, 16.0, 12.0, 2.0, 0.0, 0.0, 0.0, 11.0, 7.0, 4.0, 7.0, 8.0, 0.0, 0.0, 5.0, 14.0, 4.0, 0.0, 8.0, 4.0, 0.0, 0.0, 2.0, 15.0, 9.0, 6.0, 11.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 13.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 10.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 2.0, 12.0, 16.0, 3.0, 0.0, 0.0], [0.0, 0.0, 9.0, 16.0, 12.0, 2.0, 0.0, 0.0, 0.0, 0.0, 16.0, 3.0, 5.0, 10.0, 0.0, 0.0, 0.0, 0.0, 13.0, 4.0, 14.0, 16.0, 4.0, 0.0, 0.0, 0.0, 4.0, 16.0, 16.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 3.0, 4.0, 10.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 6.0, 0.0, 0.0, 0.0, 12.0, 1.0, 1.0, 13.0, 3.0, 0.0, 0.0, 0.0, 8.0, 15.0, 16.0, 9.0, 0.0, 0.0], [0.0, 0.0, 2.0, 12.0, 15.0, 12.0, 1.0, 0.0, 0.0, 1.0, 14.0, 14.0, 14.0, 11.0, 8.0, 0.0, 0.0, 5.0, 16.0, 3.0, 0.0, 2.0, 8.0, 0.0, 0.0, 8.0, 14.0, 0.0, 0.0, 6.0, 8.0, 0.0, 0.0, 4.0, 12.0, 0.0, 0.0, 9.0, 4.0, 0.0, 0.0, 1.0, 16.0, 1.0, 1.0, 14.0, 1.0, 0.0, 0.0, 0.0, 11.0, 9.0, 11.0, 8.0, 0.0, 0.0, 0.0, 0.0, 2.0, 13.0, 14.0, 1.0, 0.0, 0.0], [0.0, 0.0, 3.0, 11.0, 13.0, 5.0, 0.0, 0.0, 0.0, 0.0, 10.0, 12.0, 5.0, 16.0, 0.0, 0.0, 0.0, 0.0, 7.0, 10.0, 6.0, 15.0, 4.0, 0.0, 0.0, 0.0, 2.0, 13.0, 16.0, 14.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 11.0, 0.0, 0.0, 0.0, 9.0, 7.0, 0.0, 8.0, 11.0, 0.0, 0.0, 0.0, 3.0, 9.0, 16.0, 16.0, 6.0, 0.0], [0.0, 0.0, 6.0, 8.0, 8.0, 13.0, 3.0, 0.0, 0.0, 1.0, 14.0, 14.0, 12.0, 9.0, 3.0, 0.0, 0.0, 4.0, 16.0, 8.0, 2.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 13.0, 15.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 15.0, 0.0, 0.0, 0.0, 0.0, 6.0, 8.0, 13.0, 8.0, 0.0, 0.0, 0.0, 0.0, 9.0, 15.0, 8.0, 0.0, 0.0, 0.0], [0.0, 0.0, 3.0, 8.0, 9.0, 9.0, 0.0, 0.0, 0.0, 6.0, 16.0, 12.0, 8.0, 5.0, 0.0, 0.0, 0.0, 11.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 10.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 8.0, 13.0, 10.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 7.0, 0.0, 0.0, 0.0, 5.0, 2.0, 4.0, 13.0, 8.0, 0.0, 0.0, 0.0, 7.0, 16.0, 14.0, 8.0, 0.0, 0.0], [0.0, 0.0, 0.0, 8.0, 15.0, 2.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 12.0, 16.0, 14.0, 0.0, 0.0, 0.0, 0.0, 14.0, 15.0, 6.0, 8.0, 11.0, 0.0, 0.0, 3.0, 12.0, 14.0, 5.0, 10.0, 13.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 13.0, 5.0, 0.0], [0.0, 1.0, 5.0, 11.0, 15.0, 4.0, 0.0, 0.0, 0.0, 8.0, 16.0, 13.0, 6.0, 2.0, 0.0, 0.0, 0.0, 11.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 16.0, 11.0, 2.0, 0.0, 0.0, 0.0, 0.0, 4.0, 4.0, 5.0, 12.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 11.0, 0.0, 0.0, 0.0, 1.0, 6.0, 0.0, 10.0, 11.0, 0.0, 0.0, 0.0, 2.0, 12.0, 16.0, 15.0, 2.0, 0.0], [0.0, 0.0, 9.0, 16.0, 15.0, 14.0, 1.0, 0.0, 0.0, 1.0, 15.0, 15.0, 5.0, 10.0, 7.0, 0.0, 0.0, 6.0, 16.0, 1.0, 0.0, 1.0, 8.0, 0.0, 0.0, 8.0, 13.0, 0.0, 0.0, 4.0, 8.0, 0.0, 0.0, 7.0, 6.0, 0.0, 0.0, 6.0, 6.0, 0.0, 0.0, 5.0, 9.0, 0.0, 0.0, 13.0, 1.0, 0.0, 0.0, 0.0, 16.0, 5.0, 12.0, 12.0, 0.0, 0.0, 0.0, 0.0, 8.0, 15.0, 10.0, 1.0, 0.0, 0.0], [0.0, 0.0, 7.0, 13.0, 16.0, 7.0, 0.0, 0.0, 0.0, 2.0, 16.0, 6.0, 5.0, 12.0, 1.0, 0.0, 0.0, 4.0, 12.0, 0.0, 1.0, 16.0, 4.0, 0.0, 0.0, 1.0, 12.0, 12.0, 13.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 4.0, 8.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 13.0, 0.0, 0.0, 0.0, 0.0, 8.0, 3.0, 10.0, 10.0, 0.0, 0.0, 0.0, 0.0, 6.0, 15.0, 15.0, 3.0, 0.0, 0.0], [0.0, 0.0, 4.0, 15.0, 14.0, 10.0, 1.0, 0.0, 0.0, 0.0, 7.0, 9.0, 0.0, 9.0, 8.0, 0.0, 0.0, 0.0, 11.0, 9.0, 2.0, 13.0, 7.0, 0.0, 0.0, 0.0, 4.0, 15.0, 14.0, 4.0, 0.0, 0.0, 0.0, 0.0, 6.0, 15.0, 15.0, 1.0, 0.0, 0.0, 0.0, 4.0, 14.0, 1.0, 13.0, 7.0, 0.0, 0.0, 0.0, 7.0, 13.0, 1.0, 5.0, 13.0, 0.0, 0.0, 0.0, 0.0, 7.0, 14.0, 16.0, 16.0, 1.0, 0.0], [0.0, 0.0, 4.0, 12.0, 16.0, 12.0, 0.0, 0.0, 0.0, 5.0, 16.0, 8.0, 4.0, 12.0, 2.0, 0.0, 0.0, 12.0, 6.0, 0.0, 0.0, 13.0, 4.0, 0.0, 0.0, 6.0, 16.0, 13.0, 16.0, 16.0, 7.0, 0.0, 0.0, 0.0, 3.0, 4.0, 1.0, 8.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 12.0, 0.0, 0.0, 0.0, 8.0, 9.0, 2.0, 9.0, 9.0, 0.0, 0.0, 0.0, 2.0, 13.0, 16.0, 15.0, 3.0, 0.0], [0.0, 0.0, 5.0, 12.0, 15.0, 10.0, 1.0, 0.0, 0.0, 2.0, 14.0, 7.0, 4.0, 9.0, 7.0, 0.0, 0.0, 7.0, 15.0, 7.0, 0.0, 9.0, 8.0, 0.0, 0.0, 1.0, 5.0, 15.0, 11.0, 13.0, 3.0, 0.0, 0.0, 0.0, 3.0, 15.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 15.0, 9.0, 12.0, 7.0, 0.0, 0.0, 0.0, 0.0, 15.0, 5.0, 8.0, 12.0, 0.0, 0.0, 0.0, 0.0, 4.0, 14.0, 16.0, 11.0, 0.0, 0.0], [0.0, 0.0, 0.0, 7.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 15.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 11.0, 0.0, 2.0, 2.0, 0.0, 0.0, 5.0, 14.0, 2.0, 1.0, 13.0, 7.0, 0.0, 0.0, 7.0, 15.0, 2.0, 8.0, 16.0, 3.0, 0.0, 0.0, 3.0, 14.0, 16.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 2.0, 0.0, 0.0], [0.0, 0.0, 7.0, 12.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 16.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 16.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 16.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 16.0, 16.0, 0.0, 0.0, 0.0, 0.0, 1.0, 14.0, 16.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 4.0, 12.0, 12.0, 9.0, 0.0, 0.0], [0.0, 0.0, 6.0, 16.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 14.0, 9.0, 12.0, 11.0, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 9.0, 6.0, 0.0, 0.0, 0.0, 0.0, 1.0, 6.0, 16.0, 10.0, 6.0, 0.0, 0.0, 0.0, 10.0, 16.0, 14.0, 11.0, 5.0, 0.0, 0.0, 0.0, 5.0, 15.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 8.0, 0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 1.0, 11.0, 16.0, 16.0, 10.0, 0.0, 0.0, 0.0, 13.0, 14.0, 8.0, 12.0, 11.0, 0.0, 0.0, 0.0, 4.0, 0.0, 0.0, 13.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 15.0, 0.0, 0.0, 0.0, 0.0, 2.0, 15.0, 16.0, 16.0, 9.0, 0.0, 0.0, 0.0, 3.0, 13.0, 16.0, 8.0, 1.0, 0.0, 0.0, 0.0, 0.0, 7.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 3.0, 0.0, 0.0, 0.0], [0.0, 0.0, 7.0, 15.0, 16.0, 12.0, 0.0, 0.0, 0.0, 4.0, 16.0, 11.0, 12.0, 12.0, 0.0, 0.0, 0.0, 2.0, 7.0, 1.0, 13.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 15.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 15.0, 8.0, 0.0, 0.0, 0.0, 5.0, 16.0, 12.0, 15.0, 8.0, 0.0, 0.0, 0.0, 7.0, 16.0, 16.0, 13.0, 2.0, 0.0], [0.0, 0.0, 6.0, 14.0, 14.0, 13.0, 11.0, 0.0, 0.0, 0.0, 14.0, 12.0, 5.0, 4.0, 2.0, 0.0, 0.0, 3.0, 16.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 2.0, 11.0, 11.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 11.0, 0.0, 0.0, 0.0, 0.0, 3.0, 7.0, 12.0, 8.0, 0.0, 0.0, 0.0, 0.0, 7.0, 14.0, 11.0, 1.0, 0.0, 0.0], [0.0, 0.0, 0.0, 10.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 16.0, 14.0, 0.0, 0.0, 0.0, 0.0, 1.0, 5.0, 7.0, 15.0, 8.0, 0.0], [0.0, 0.0, 2.0, 13.0, 10.0, 3.0, 0.0, 0.0, 0.0, 0.0, 10.0, 15.0, 12.0, 13.0, 1.0, 0.0, 0.0, 0.0, 16.0, 4.0, 0.0, 6.0, 4.0, 0.0, 0.0, 2.0, 16.0, 3.0, 0.0, 1.0, 7.0, 0.0, 0.0, 5.0, 13.0, 5.0, 0.0, 2.0, 8.0, 0.0, 0.0, 4.0, 12.0, 0.0, 0.0, 3.0, 8.0, 0.0, 0.0, 0.0, 13.0, 5.0, 6.0, 13.0, 5.0, 0.0, 0.0, 0.0, 5.0, 14.0, 13.0, 8.0, 1.0, 0.0], [0.0, 0.0, 5.0, 13.0, 13.0, 5.0, 0.0, 0.0, 0.0, 0.0, 16.0, 16.0, 10.0, 15.0, 3.0, 0.0, 0.0, 5.0, 16.0, 2.0, 1.0, 8.0, 4.0, 0.0, 0.0, 4.0, 13.0, 0.0, 0.0, 4.0, 8.0, 0.0, 0.0, 8.0, 12.0, 0.0, 0.0, 6.0, 7.0, 0.0, 0.0, 5.0, 15.0, 0.0, 0.0, 7.0, 7.0, 0.0, 0.0, 0.0, 16.0, 8.0, 5.0, 15.0, 3.0, 0.0, 0.0, 0.0, 5.0, 14.0, 15.0, 9.0, 0.0, 0.0], [0.0, 2.0, 15.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 10.0, 15.0, 10.0, 16.0, 2.0, 0.0, 0.0, 0.0, 9.0, 11.0, 5.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 3.0, 15.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 15.0, 5.0, 5.0, 8.0, 3.0, 0.0, 0.0, 3.0, 15.0, 16.0, 16.0, 16.0, 10.0, 0.0], [0.0, 0.0, 5.0, 15.0, 15.0, 2.0, 0.0, 0.0, 0.0, 3.0, 16.0, 9.0, 16.0, 5.0, 0.0, 0.0, 0.0, 5.0, 9.0, 1.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 14.0, 7.0, 6.0, 2.0, 0.0, 0.0, 0.0, 6.0, 16.0, 16.0, 15.0, 2.0, 0.0], [0.0, 0.0, 3.0, 11.0, 16.0, 16.0, 4.0, 0.0, 0.0, 0.0, 9.0, 12.0, 12.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 9.0, 14.0, 16.0, 9.0, 0.0, 0.0, 0.0, 1.0, 16.0, 16.0, 14.0, 5.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 15.0, 7.0, 0.0, 0.0, 0.0], [0.0, 0.0, 4.0, 13.0, 16.0, 14.0, 2.0, 0.0, 0.0, 2.0, 15.0, 5.0, 4.0, 14.0, 4.0, 0.0, 0.0, 8.0, 15.0, 6.0, 1.0, 15.0, 1.0, 0.0, 0.0, 4.0, 16.0, 16.0, 13.0, 10.0, 0.0, 0.0, 0.0, 0.0, 1.0, 9.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 4.0, 14.0, 3.0, 14.0, 6.0, 0.0, 0.0, 0.0, 9.0, 10.0, 3.0, 13.0, 8.0, 0.0, 0.0, 0.0, 3.0, 15.0, 16.0, 11.0, 1.0, 0.0], [0.0, 0.0, 7.0, 16.0, 16.0, 3.0, 0.0, 0.0, 0.0, 7.0, 16.0, 9.0, 14.0, 7.0, 0.0, 0.0, 0.0, 10.0, 9.0, 0.0, 14.0, 5.0, 0.0, 0.0, 0.0, 3.0, 3.0, 4.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 15.0, 8.0, 8.0, 3.0, 0.0, 0.0, 0.0, 10.0, 16.0, 16.0, 16.0, 9.0, 0.0], [0.0, 0.0, 4.0, 13.0, 11.0, 7.0, 0.0, 0.0, 0.0, 0.0, 14.0, 16.0, 13.0, 16.0, 2.0, 0.0, 0.0, 5.0, 16.0, 4.0, 0.0, 5.0, 7.0, 0.0, 0.0, 8.0, 14.0, 0.0, 0.0, 4.0, 8.0, 0.0, 0.0, 6.0, 9.0, 0.0, 0.0, 4.0, 8.0, 0.0, 0.0, 2.0, 14.0, 1.0, 0.0, 8.0, 6.0, 0.0, 0.0, 0.0, 13.0, 12.0, 9.0, 15.0, 2.0, 0.0, 0.0, 0.0, 3.0, 16.0, 12.0, 5.0, 0.0, 0.0], [0.0, 0.0, 0.0, 0.0, 11.0, 14.0, 3.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 14.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 16.0, 15.0, 0.0, 0.0, 0.0, 1.0, 13.0, 16.0, 16.0, 13.0, 0.0, 0.0, 0.0, 6.0, 16.0, 9.0, 15.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 14.0, 1.0, 0.0], [0.0, 2.0, 11.0, 16.0, 12.0, 1.0, 0.0, 0.0, 0.0, 9.0, 16.0, 9.0, 16.0, 4.0, 0.0, 0.0, 0.0, 14.0, 7.0, 4.0, 16.0, 1.0, 0.0, 0.0, 0.0, 6.0, 5.0, 9.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 11.0, 8.0, 12.0, 9.0, 0.0, 0.0, 2.0, 15.0, 16.0, 16.0, 13.0, 16.0, 1.0], [0.0, 0.0, 3.0, 12.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 14.0, 2.0, 0.0, 0.0, 0.0, 0.0, 3.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 5.0, 3.0, 0.0, 0.0, 0.0, 4.0, 10.0, 16.0, 16.0, 16.0, 4.0, 0.0, 0.0, 6.0, 16.0, 4.0, 0.0, 8.0, 9.0, 0.0, 0.0, 0.0, 15.0, 12.0, 4.0, 9.0, 12.0, 0.0, 0.0, 0.0, 2.0, 13.0, 16.0, 14.0, 4.0, 0.0], [0.0, 2.0, 11.0, 16.0, 15.0, 2.0, 0.0, 0.0, 0.0, 12.0, 15.0, 12.0, 16.0, 4.0, 0.0, 0.0, 0.0, 3.0, 3.0, 6.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 2.0, 15.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 16.0, 12.0, 1.0, 0.0, 0.0, 0.0, 0.0, 1.0, 6.0, 15.0, 10.0, 0.0, 0.0, 0.0, 6.0, 12.0, 8.0, 14.0, 11.0, 0.0, 0.0, 1.0, 16.0, 16.0, 16.0, 11.0, 3.0, 0.0], [0.0, 0.0, 7.0, 14.0, 16.0, 11.0, 0.0, 0.0, 0.0, 2.0, 16.0, 11.0, 11.0, 16.0, 2.0, 0.0, 0.0, 0.0, 3.0, 3.0, 15.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 14.0, 15.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 6.0, 0.0, 0.0, 0.0, 3.0, 12.0, 13.0, 15.0, 2.0, 0.0, 0.0, 0.0, 6.0, 16.0, 12.0, 5.0, 0.0, 0.0], [0.0, 0.0, 5.0, 16.0, 16.0, 16.0, 16.0, 11.0, 0.0, 0.0, 6.0, 9.0, 5.0, 5.0, 15.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 11.0, 1.0, 0.0, 0.0, 0.0, 3.0, 6.0, 16.0, 3.0, 0.0, 0.0, 0.0, 5.0, 16.0, 16.0, 16.0, 7.0, 0.0, 0.0, 0.0, 4.0, 8.0, 16.0, 4.0, 1.0, 0.0, 0.0, 0.0, 1.0, 13.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 2.0, 0.0, 0.0, 0.0], [0.0, 2.0, 13.0, 16.0, 16.0, 11.0, 0.0, 0.0, 0.0, 10.0, 11.0, 4.0, 12.0, 12.0, 0.0, 0.0, 0.0, 1.0, 1.0, 4.0, 14.0, 8.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 9.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 12.0, 0.0, 0.0, 0.0, 5.0, 9.0, 10.0, 16.0, 9.0, 0.0, 0.0, 0.0, 15.0, 16.0, 13.0, 7.0, 0.0, 0.0], [0.0, 1.0, 10.0, 16.0, 16.0, 6.0, 0.0, 0.0, 0.0, 7.0, 14.0, 9.0, 12.0, 12.0, 0.0, 0.0, 0.0, 1.0, 1.0, 5.0, 15.0, 5.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 14.0, 3.0, 0.0, 0.0, 0.0, 0.0, 1.0, 11.0, 14.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 11.0, 0.0, 0.0, 0.0, 7.0, 8.0, 13.0, 16.0, 5.0, 0.0, 0.0, 0.0, 15.0, 16.0, 12.0, 5.0, 0.0, 0.0], [0.0, 0.0, 1.0, 14.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 9.0, 0.0, 1.0, 5.0, 0.0, 0.0, 8.0, 16.0, 5.0, 1.0, 12.0, 15.0, 0.0, 0.0, 10.0, 16.0, 12.0, 11.0, 16.0, 6.0, 0.0, 0.0, 3.0, 14.0, 16.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 14.0, 0.0, 0.0, 0.0], [0.0, 0.0, 2.0, 12.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 13.0, 5.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 5.0, 10.0, 10.0, 4.0, 0.0, 0.0, 0.0, 16.0, 14.0, 8.0, 6.0, 13.0, 0.0, 0.0, 0.0, 13.0, 9.0, 2.0, 4.0, 14.0, 0.0, 0.0, 0.0, 3.0, 10.0, 16.0, 16.0, 7.0, 0.0], [0.0, 0.0, 2.0, 13.0, 13.0, 1.0, 0.0, 0.0, 0.0, 0.0, 9.0, 13.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 10.0, 9.0, 9.0, 2.0, 0.0, 0.0, 0.0, 16.0, 11.0, 8.0, 11.0, 12.0, 0.0, 0.0, 1.0, 14.0, 11.0, 1.0, 4.0, 13.0, 0.0, 0.0, 0.0, 3.0, 11.0, 16.0, 15.0, 4.0, 0.0], [0.0, 0.0, 1.0, 13.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 15.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 12.0, 15.0, 15.0, 7.0, 0.0, 0.0, 0.0, 14.0, 14.0, 6.0, 4.0, 14.0, 1.0, 0.0, 0.0, 9.0, 14.0, 3.0, 4.0, 14.0, 2.0, 0.0, 0.0, 1.0, 7.0, 14.0, 16.0, 11.0, 0.0], [0.0, 0.0, 4.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 3.0, 0.0, 7.0, 4.0, 0.0, 0.0, 12.0, 16.0, 6.0, 11.0, 16.0, 7.0, 0.0, 0.0, 7.0, 16.0, 16.0, 15.0, 3.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 6.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 9.0, 15.0, 16.0, 9.0, 0.0, 0.0, 0.0, 10.0, 13.0, 4.0, 12.0, 7.0, 0.0, 0.0, 5.0, 14.0, 1.0, 2.0, 15.0, 3.0, 0.0, 0.0, 4.0, 14.0, 12.0, 16.0, 15.0, 0.0, 0.0, 0.0, 0.0, 1.0, 1.0, 13.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 4.0, 0.0, 0.0, 0.0], [0.0, 0.0, 1.0, 15.0, 11.0, 1.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 14.0, 16.0, 3.0, 0.0, 0.0], [0.0, 0.0, 2.0, 10.0, 16.0, 4.0, 0.0, 0.0, 1.0, 10.0, 16.0, 16.0, 15.0, 4.0, 0.0, 0.0, 0.0, 16.0, 16.0, 10.0, 1.0, 0.0, 0.0, 0.0, 0.0, 15.0, 16.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 5.0, 11.0, 5.0, 15.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 9.0, 0.0, 0.0, 0.0, 0.0, 3.0, 10.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 15.0, 2.0, 0.0, 0.0], [0.0, 0.0, 5.0, 8.0, 11.0, 5.0, 0.0, 0.0, 0.0, 0.0, 13.0, 16.0, 12.0, 12.0, 0.0, 0.0, 0.0, 1.0, 16.0, 9.0, 0.0, 9.0, 3.0, 0.0, 0.0, 3.0, 16.0, 6.0, 0.0, 6.0, 6.0, 0.0, 0.0, 3.0, 11.0, 1.0, 0.0, 5.0, 6.0, 0.0, 0.0, 0.0, 12.0, 0.0, 0.0, 11.0, 6.0, 0.0, 0.0, 0.0, 14.0, 5.0, 12.0, 15.0, 1.0, 0.0, 0.0, 0.0, 6.0, 16.0, 13.0, 2.0, 0.0, 0.0], [0.0, 0.0, 3.0, 14.0, 16.0, 8.0, 0.0, 0.0, 0.0, 3.0, 15.0, 8.0, 4.0, 15.0, 1.0, 0.0, 0.0, 8.0, 10.0, 0.0, 3.0, 16.0, 8.0, 0.0, 0.0, 3.0, 15.0, 13.0, 16.0, 14.0, 1.0, 0.0, 0.0, 0.0, 2.0, 5.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 13.0, 0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 5.0, 8.0, 12.0, 16.0, 4.0, 0.0, 0.0, 3.0, 16.0, 11.0, 7.0, 1.0, 0.0, 0.0, 0.0, 3.0, 14.0, 6.0, 4.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 12.0, 14.0, 6.0, 0.0, 0.0, 0.0, 0.0, 2.0, 0.0, 4.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 10.0, 0.0, 0.0, 0.0, 0.0, 6.0, 8.0, 14.0, 7.0, 0.0, 0.0, 0.0, 0.0, 7.0, 13.0, 7.0, 0.0, 0.0, 0.0], [0.0, 0.0, 11.0, 16.0, 15.0, 5.0, 0.0, 0.0, 0.0, 8.0, 16.0, 14.0, 16.0, 8.0, 0.0, 0.0, 0.0, 11.0, 10.0, 0.0, 16.0, 8.0, 0.0, 0.0, 0.0, 3.0, 1.0, 6.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 1.0, 15.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 14.0, 12.0, 12.0, 8.0, 0.0, 0.0, 1.0, 15.0, 16.0, 16.0, 14.0, 8.0, 0.0], [0.0, 0.0, 4.0, 13.0, 15.0, 9.0, 0.0, 0.0, 0.0, 4.0, 14.0, 6.0, 5.0, 16.0, 0.0, 0.0, 0.0, 7.0, 12.0, 2.0, 2.0, 16.0, 0.0, 0.0, 0.0, 4.0, 16.0, 15.0, 14.0, 7.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 10.0, 6.0, 8.0, 15.0, 2.0, 0.0, 0.0, 0.0, 11.0, 9.0, 4.0, 13.0, 11.0, 0.0, 0.0, 0.0, 2.0, 14.0, 16.0, 15.0, 6.0, 0.0], [0.0, 2.0, 15.0, 16.0, 15.0, 2.0, 0.0, 0.0, 0.0, 8.0, 14.0, 8.0, 14.0, 8.0, 0.0, 0.0, 0.0, 7.0, 5.0, 2.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0, 1.0, 15.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 9.0, 8.0, 8.0, 2.0, 0.0, 0.0, 2.0, 15.0, 16.0, 16.0, 16.0, 13.0, 0.0], [0.0, 0.0, 3.0, 11.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 10.0, 14.0, 6.0, 0.0, 0.0, 0.0, 15.0, 7.0, 0.0, 11.0, 8.0, 0.0, 0.0, 3.0, 16.0, 2.0, 0.0, 8.0, 8.0, 0.0, 0.0, 4.0, 12.0, 0.0, 0.0, 9.0, 8.0, 0.0, 0.0, 6.0, 15.0, 1.0, 0.0, 12.0, 8.0, 0.0, 0.0, 3.0, 15.0, 10.0, 8.0, 15.0, 4.0, 0.0, 0.0, 0.0, 5.0, 12.0, 14.0, 9.0, 0.0, 0.0], [0.0, 0.0, 7.0, 15.0, 9.0, 5.0, 0.0, 0.0, 0.0, 0.0, 14.0, 16.0, 14.0, 15.0, 0.0, 0.0, 0.0, 1.0, 16.0, 8.0, 4.0, 6.0, 4.0, 0.0, 0.0, 4.0, 15.0, 1.0, 0.0, 6.0, 5.0, 0.0, 0.0, 3.0, 11.0, 0.0, 0.0, 7.0, 5.0, 0.0, 0.0, 3.0, 11.0, 0.0, 1.0, 13.0, 2.0, 0.0, 0.0, 1.0, 13.0, 8.0, 13.0, 13.0, 0.0, 0.0, 0.0, 0.0, 6.0, 15.0, 11.0, 1.0, 0.0, 0.0], [0.0, 0.0, 0.0, 2.0, 13.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 16.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 15.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 13.0, 8.0, 0.0, 0.0], [0.0, 0.0, 3.0, 11.0, 16.0, 15.0, 1.0, 0.0, 0.0, 1.0, 16.0, 14.0, 10.0, 16.0, 2.0, 0.0, 0.0, 5.0, 12.0, 0.0, 8.0, 12.0, 0.0, 0.0, 0.0, 0.0, 1.0, 1.0, 13.0, 9.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 16.0, 13.0, 2.0, 0.0, 0.0, 0.0, 11.0, 14.0, 15.0, 12.0, 5.0, 0.0, 0.0, 0.0, 0.0, 15.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 5.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 4.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 8.0, 1.0, 0.0, 0.0, 0.0, 0.0, 6.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 12.0, 11.0, 10.0, 0.0, 0.0, 0.0, 4.0, 16.0, 15.0, 8.0, 11.0, 10.0, 0.0, 0.0, 1.0, 7.0, 15.0, 4.0, 3.0, 12.0, 0.0, 0.0, 0.0, 0.0, 7.0, 15.0, 16.0, 8.0, 0.0], [0.0, 0.0, 8.0, 14.0, 15.0, 6.0, 0.0, 0.0, 0.0, 4.0, 16.0, 12.0, 14.0, 11.0, 0.0, 0.0, 0.0, 4.0, 8.0, 1.0, 14.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 15.0, 7.0, 0.0, 0.0, 0.0, 4.0, 11.0, 8.0, 14.0, 7.0, 0.0, 0.0, 0.0, 11.0, 16.0, 16.0, 10.0, 0.0, 0.0], [0.0, 0.0, 10.0, 16.0, 16.0, 7.0, 0.0, 0.0, 0.0, 6.0, 15.0, 9.0, 14.0, 12.0, 0.0, 0.0, 0.0, 3.0, 5.0, 0.0, 13.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 13.0, 11.0, 8.0, 3.0, 0.0, 0.0, 0.0, 12.0, 16.0, 16.0, 16.0, 5.0, 0.0], [0.0, 0.0, 0.0, 0.0, 10.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 16.0, 16.0, 4.0, 0.0, 0.0, 0.0, 3.0, 12.0, 6.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 13.0, 7.0, 0.0], [0.0, 0.0, 3.0, 13.0, 16.0, 11.0, 0.0, 0.0, 0.0, 0.0, 14.0, 12.0, 14.0, 16.0, 1.0, 0.0, 0.0, 0.0, 6.0, 0.0, 7.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 11.0, 0.0, 0.0, 0.0, 0.0, 8.0, 13.0, 16.0, 14.0, 4.0, 0.0, 0.0, 5.0, 16.0, 16.0, 14.0, 12.0, 4.0, 0.0, 0.0, 0.0, 3.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 13.0, 0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 2.0, 13.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 16.0, 2.0, 0.0, 4.0, 0.0, 0.0, 5.0, 16.0, 10.0, 1.0, 13.0, 15.0, 0.0, 0.0, 7.0, 16.0, 16.0, 16.0, 16.0, 4.0, 0.0, 0.0, 0.0, 8.0, 15.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 11.0, 0.0, 0.0, 0.0], [0.0, 0.0, 3.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 14.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 15.0, 15.0, 16.0, 15.0, 2.0, 0.0, 0.0, 1.0, 16.0, 8.0, 4.0, 8.0, 11.0, 0.0, 0.0, 1.0, 16.0, 11.0, 7.0, 10.0, 12.0, 0.0, 0.0, 0.0, 5.0, 10.0, 12.0, 15.0, 7.0, 0.0], [0.0, 0.0, 12.0, 16.0, 16.0, 13.0, 1.0, 0.0, 0.0, 4.0, 15.0, 9.0, 12.0, 16.0, 2.0, 0.0, 0.0, 0.0, 2.0, 0.0, 11.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 13.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 6.0, 0.0, 0.0, 0.0, 4.0, 6.0, 6.0, 16.0, 6.0, 0.0, 0.0, 0.0, 12.0, 16.0, 16.0, 9.0, 0.0, 0.0], [0.0, 0.0, 0.0, 12.0, 15.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 16.0, 3.0, 0.0, 0.0, 0.0, 1.0, 16.0, 16.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 7.0, 0.0, 0.0], [0.0, 2.0, 10.0, 14.0, 11.0, 1.0, 0.0, 0.0, 0.0, 7.0, 15.0, 8.0, 16.0, 4.0, 0.0, 0.0, 0.0, 1.0, 1.0, 6.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 15.0, 9.0, 1.0, 0.0, 0.0, 0.0, 0.0, 1.0, 6.0, 15.0, 8.0, 0.0, 0.0, 2.0, 8.0, 4.0, 6.0, 15.0, 7.0, 0.0, 0.0, 2.0, 13.0, 16.0, 15.0, 9.0, 0.0, 0.0], [0.0, 0.0, 2.0, 10.0, 16.0, 13.0, 0.0, 0.0, 0.0, 3.0, 16.0, 8.0, 2.0, 16.0, 1.0, 0.0, 0.0, 8.0, 13.0, 0.0, 2.0, 16.0, 6.0, 0.0, 0.0, 6.0, 16.0, 12.0, 16.0, 16.0, 7.0, 0.0, 0.0, 0.0, 2.0, 4.0, 8.0, 12.0, 1.0, 0.0, 0.0, 0.0, 0.0, 1.0, 15.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 3.0, 0.0, 0.0, 0.0], [0.0, 0.0, 1.0, 14.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 1.0, 15.0, 16.0, 8.0, 0.0, 0.0], [0.0, 0.0, 6.0, 15.0, 16.0, 3.0, 0.0, 0.0, 0.0, 3.0, 16.0, 12.0, 15.0, 8.0, 0.0, 0.0, 0.0, 0.0, 4.0, 0.0, 14.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 6.0, 2.0, 0.0, 0.0, 0.0, 4.0, 14.0, 16.0, 16.0, 8.0, 0.0, 0.0, 0.0, 15.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 9.0, 0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 11.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 8.0, 2.0, 0.0, 0.0, 0.0, 0.0, 15.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 4.0, 3.0, 1.0, 0.0, 0.0, 0.0, 1.0, 16.0, 16.0, 16.0, 16.0, 4.0, 0.0, 0.0, 0.0, 14.0, 12.0, 4.0, 6.0, 12.0, 0.0, 0.0, 0.0, 10.0, 16.0, 5.0, 10.0, 15.0, 0.0, 0.0, 0.0, 2.0, 11.0, 16.0, 12.0, 8.0, 0.0], [0.0, 0.0, 3.0, 10.0, 12.0, 12.0, 2.0, 0.0, 0.0, 1.0, 13.0, 12.0, 6.0, 13.0, 8.0, 0.0, 0.0, 8.0, 16.0, 8.0, 8.0, 14.0, 1.0, 0.0, 0.0, 5.0, 14.0, 16.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 12.0, 16.0, 15.0, 2.0, 0.0, 0.0, 0.0, 3.0, 16.0, 2.0, 15.0, 10.0, 0.0, 0.0, 0.0, 4.0, 16.0, 8.0, 12.0, 12.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 15.0, 3.0, 0.0, 0.0], [0.0, 0.0, 0.0, 9.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 15.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 15.0, 1.0, 3.0, 8.0, 0.0, 0.0, 6.0, 16.0, 4.0, 0.0, 14.0, 12.0, 0.0, 0.0, 12.0, 16.0, 4.0, 11.0, 16.0, 5.0, 0.0, 0.0, 9.0, 16.0, 16.0, 16.0, 11.0, 0.0, 0.0, 0.0, 0.0, 6.0, 11.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 4.0, 0.0, 0.0], [0.0, 1.0, 12.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 7.0, 11.0, 7.0, 14.0, 1.0, 0.0, 0.0, 0.0, 2.0, 2.0, 3.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 14.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 16.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 2.0, 0.0, 5.0, 15.0, 6.0, 0.0, 0.0, 1.0, 11.0, 4.0, 4.0, 13.0, 8.0, 0.0, 0.0, 2.0, 14.0, 16.0, 16.0, 13.0, 1.0, 0.0], [0.0, 0.0, 3.0, 16.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 13.0, 15.0, 0.0, 0.0, 0.0], [0.0, 0.0, 2.0, 15.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 5.0, 0.0, 2.0, 0.0, 0.0, 2.0, 15.0, 10.0, 0.0, 11.0, 16.0, 1.0, 0.0, 10.0, 16.0, 4.0, 6.0, 16.0, 10.0, 0.0, 0.0, 6.0, 16.0, 16.0, 16.0, 15.0, 1.0, 0.0, 0.0, 0.0, 6.0, 13.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 5.0, 0.0, 0.0, 0.0], [0.0, 0.0, 3.0, 14.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 16.0, 14.0, 9.0, 0.0, 0.0, 0.0, 4.0, 16.0, 16.0, 11.0, 15.0, 3.0, 0.0, 0.0, 5.0, 15.0, 6.0, 0.0, 4.0, 8.0, 0.0, 0.0, 8.0, 8.0, 0.0, 0.0, 4.0, 8.0, 0.0, 0.0, 5.0, 11.0, 0.0, 0.0, 6.0, 6.0, 0.0, 0.0, 0.0, 13.0, 10.0, 5.0, 15.0, 5.0, 0.0, 0.0, 0.0, 2.0, 12.0, 14.0, 8.0, 0.0, 0.0], [0.0, 0.0, 5.0, 11.0, 16.0, 12.0, 0.0, 0.0, 0.0, 0.0, 16.0, 12.0, 4.0, 3.0, 0.0, 0.0, 0.0, 4.0, 16.0, 6.0, 3.0, 0.0, 0.0, 0.0, 0.0, 4.0, 15.0, 16.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 6.0, 0.0, 0.0, 0.0, 0.0, 1.0, 8.0, 15.0, 1.0, 0.0, 0.0, 0.0, 6.0, 16.0, 13.0, 1.0, 0.0, 0.0], [0.0, 0.0, 6.0, 13.0, 16.0, 10.0, 0.0, 0.0, 0.0, 4.0, 13.0, 5.0, 4.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 10.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 7.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 8.0, 0.0, 0.0, 0.0, 8.0, 6.0, 3.0, 11.0, 7.0, 0.0, 0.0, 0.0, 4.0, 14.0, 16.0, 11.0, 1.0, 0.0], [0.0, 0.0, 1.0, 13.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 14.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 10.0, 12.0, 12.0, 3.0, 0.0, 0.0, 3.0, 16.0, 11.0, 5.0, 9.0, 12.0, 0.0, 0.0, 1.0, 13.0, 11.0, 4.0, 13.0, 11.0, 0.0, 0.0, 0.0, 1.0, 12.0, 16.0, 11.0, 2.0, 0.0], [0.0, 0.0, 3.0, 11.0, 15.0, 13.0, 2.0, 0.0, 0.0, 2.0, 15.0, 11.0, 8.0, 14.0, 7.0, 0.0, 0.0, 8.0, 14.0, 0.0, 2.0, 13.0, 2.0, 0.0, 0.0, 3.0, 13.0, 16.0, 16.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 15.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 1.0, 0.0, 0.0, 0.0], [0.0, 0.0, 1.0, 10.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 14.0, 11.0, 3.0, 0.0, 0.0, 0.0, 0.0, 16.0, 2.0, 2.0, 0.0, 0.0, 0.0, 0.0, 3.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 13.0, 0.0, 6.0, 10.0, 3.0, 0.0, 0.0, 3.0, 15.0, 13.0, 12.0, 10.0, 12.0, 0.0, 0.0, 0.0, 10.0, 16.0, 4.0, 5.0, 14.0, 0.0, 0.0, 0.0, 0.0, 9.0, 15.0, 14.0, 9.0, 0.0], [0.0, 0.0, 8.0, 16.0, 15.0, 8.0, 0.0, 0.0, 0.0, 1.0, 16.0, 16.0, 16.0, 2.0, 0.0, 0.0, 0.0, 2.0, 16.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 16.0, 12.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 16.0, 13.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 16.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 15.0, 15.0, 0.0, 0.0, 0.0], [0.0, 0.0, 8.0, 16.0, 16.0, 1.0, 0.0, 0.0, 0.0, 1.0, 12.0, 10.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 2.0, 0.0, 0.0, 0.0, 4.0, 12.0, 14.0, 16.0, 12.0, 5.0, 0.0, 0.0, 12.0, 16.0, 16.0, 14.0, 12.0, 5.0, 0.0, 0.0, 0.0, 6.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 8.0, 0.0, 0.0, 0.0, 0.0], [0.0, 2.0, 12.0, 13.0, 16.0, 15.0, 1.0, 0.0, 0.0, 8.0, 16.0, 14.0, 11.0, 7.0, 0.0, 0.0, 0.0, 8.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 16.0, 11.0, 1.0, 0.0, 0.0, 0.0, 0.0, 2.0, 6.0, 15.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 15.0, 0.0, 0.0, 0.0, 0.0, 1.0, 7.0, 16.0, 11.0, 0.0, 0.0, 0.0, 1.0, 16.0, 16.0, 13.0, 1.0, 0.0, 0.0], [0.0, 0.0, 0.0, 10.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 8.0, 0.0, 3.0, 5.0, 0.0, 0.0, 10.0, 15.0, 0.0, 2.0, 15.0, 10.0, 0.0, 0.0, 12.0, 16.0, 14.0, 16.0, 13.0, 1.0, 0.0, 0.0, 2.0, 11.0, 14.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 2.0, 0.0, 0.0], [0.0, 0.0, 0.0, 7.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 14.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 8.0, 0.0, 0.0, 1.0, 0.0, 0.0, 4.0, 16.0, 3.0, 1.0, 10.0, 10.0, 0.0, 0.0, 8.0, 16.0, 12.0, 14.0, 13.0, 3.0, 0.0, 0.0, 2.0, 12.0, 10.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 13.0, 0.0, 0.0, 0.0], [0.0, 0.0, 2.0, 13.0, 16.0, 13.0, 0.0, 0.0, 0.0, 0.0, 14.0, 15.0, 14.0, 16.0, 0.0, 0.0, 0.0, 0.0, 5.0, 0.0, 10.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 13.0, 0.0, 0.0, 0.0, 0.0, 7.0, 14.0, 16.0, 16.0, 7.0, 0.0, 0.0, 0.0, 14.0, 16.0, 14.0, 10.0, 3.0, 0.0, 0.0, 0.0, 3.0, 15.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 15.0, 0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 7.0, 12.0, 12.0, 2.0, 0.0, 0.0, 0.0, 5.0, 15.0, 6.0, 10.0, 9.0, 0.0, 0.0, 0.0, 11.0, 4.0, 0.0, 11.0, 6.0, 0.0, 0.0, 0.0, 3.0, 0.0, 2.0, 15.0, 2.0, 0.0, 0.0, 0.0, 0.0, 1.0, 13.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 11.0, 1.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 7.0, 4.0, 4.0, 2.0, 0.0, 0.0, 0.0, 11.0, 12.0, 13.0, 14.0, 11.0, 0.0], [0.0, 0.0, 7.0, 13.0, 16.0, 11.0, 0.0, 0.0, 0.0, 3.0, 16.0, 5.0, 4.0, 14.0, 2.0, 0.0, 0.0, 8.0, 11.0, 1.0, 4.0, 15.0, 2.0, 0.0, 0.0, 3.0, 12.0, 14.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 15.0, 1.0, 0.0, 0.0, 0.0, 1.0, 15.0, 5.0, 11.0, 12.0, 0.0, 0.0, 0.0, 3.0, 16.0, 5.0, 7.0, 16.0, 1.0, 0.0, 0.0, 0.0, 5.0, 14.0, 16.0, 15.0, 2.0, 0.0], [0.0, 3.0, 15.0, 16.0, 13.0, 1.0, 0.0, 0.0, 0.0, 10.0, 13.0, 9.0, 16.0, 4.0, 0.0, 0.0, 0.0, 1.0, 1.0, 0.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 13.0, 12.0, 7.0, 2.0, 0.0, 0.0, 2.0, 13.0, 13.0, 13.0, 16.0, 15.0, 0.0], [0.0, 3.0, 13.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 10.0, 15.0, 13.0, 15.0, 2.0, 0.0, 0.0, 0.0, 15.0, 4.0, 4.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 1.0, 14.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 13.0, 8.0, 10.0, 9.0, 1.0, 0.0, 2.0, 16.0, 16.0, 14.0, 12.0, 9.0, 1.0], [0.0, 0.0, 7.0, 11.0, 12.0, 14.0, 2.0, 0.0, 0.0, 8.0, 16.0, 9.0, 4.0, 3.0, 0.0, 0.0, 0.0, 10.0, 15.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 12.0, 16.0, 14.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 13.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 9.0, 0.0, 0.0, 0.0, 2.0, 4.0, 8.0, 15.0, 9.0, 0.0, 0.0, 0.0, 10.0, 16.0, 13.0, 8.0, 0.0, 0.0], [0.0, 0.0, 1.0, 9.0, 16.0, 16.0, 3.0, 0.0, 0.0, 0.0, 14.0, 11.0, 8.0, 16.0, 8.0, 0.0, 0.0, 0.0, 4.0, 0.0, 0.0, 15.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 3.0, 0.0, 0.0, 0.0, 6.0, 12.0, 16.0, 16.0, 9.0, 0.0, 0.0, 1.0, 16.0, 14.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 2.0, 8.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 7.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 5.0, 13.0, 16.0, 8.0, 0.0, 0.0, 0.0, 8.0, 15.0, 6.0, 7.0, 14.0, 0.0, 0.0, 2.0, 16.0, 1.0, 1.0, 11.0, 10.0, 0.0, 0.0, 4.0, 16.0, 15.0, 16.0, 16.0, 6.0, 0.0, 0.0, 0.0, 4.0, 4.0, 5.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 10.0, 0.0, 0.0, 0.0], [0.0, 4.0, 10.0, 15.0, 16.0, 16.0, 14.0, 0.0, 0.0, 11.0, 16.0, 14.0, 8.0, 5.0, 2.0, 0.0, 0.0, 6.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 10.0, 0.0, 0.0, 0.0, 0.0, 5.0, 10.0, 14.0, 10.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 15.0, 3.0, 0.0, 0.0, 0.0], [0.0, 0.0, 1.0, 15.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 10.0, 0.0, 1.0, 3.0, 0.0, 0.0, 5.0, 16.0, 3.0, 1.0, 12.0, 15.0, 0.0, 0.0, 11.0, 16.0, 8.0, 14.0, 15.0, 3.0, 0.0, 0.0, 6.0, 16.0, 16.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 1.0, 14.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 12.0, 0.0, 0.0, 0.0], [0.0, 0.0, 4.0, 11.0, 14.0, 4.0, 0.0, 0.0, 0.0, 5.0, 13.0, 4.0, 9.0, 7.0, 0.0, 0.0, 0.0, 7.0, 10.0, 10.0, 13.0, 2.0, 0.0, 0.0, 0.0, 1.0, 9.0, 16.0, 15.0, 2.0, 0.0, 0.0, 0.0, 0.0, 8.0, 7.0, 9.0, 12.0, 0.0, 0.0, 0.0, 0.0, 12.0, 0.0, 1.0, 14.0, 5.0, 0.0, 0.0, 0.0, 11.0, 6.0, 0.0, 7.0, 8.0, 0.0, 0.0, 0.0, 2.0, 15.0, 16.0, 15.0, 4.0, 0.0], [0.0, 0.0, 3.0, 12.0, 15.0, 14.0, 3.0, 0.0, 0.0, 1.0, 16.0, 5.0, 0.0, 8.0, 12.0, 0.0, 0.0, 6.0, 16.0, 11.0, 2.0, 13.0, 7.0, 0.0, 0.0, 2.0, 9.0, 15.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 3.0, 14.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 9.0, 5.0, 6.0, 15.0, 0.0, 0.0, 0.0, 0.0, 11.0, 10.0, 7.0, 16.0, 2.0, 0.0, 0.0, 0.0, 3.0, 12.0, 16.0, 13.0, 0.0, 0.0], [0.0, 0.0, 0.0, 6.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 2.0, 15.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 16.0, 3.0, 2.0, 3.0, 0.0, 0.0, 7.0, 16.0, 7.0, 3.0, 15.0, 11.0, 0.0, 0.0, 7.0, 16.0, 14.0, 14.0, 16.0, 5.0, 0.0, 0.0, 1.0, 7.0, 12.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 15.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 2.0, 9.0, 16.0, 10.0, 0.0, 0.0, 0.0, 7.0, 15.0, 8.0, 7.0, 12.0, 0.0, 0.0, 1.0, 15.0, 3.0, 0.0, 11.0, 12.0, 0.0, 0.0, 8.0, 14.0, 9.0, 13.0, 16.0, 8.0, 0.0, 0.0, 1.0, 7.0, 7.0, 3.0, 13.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 4.0, 0.0, 0.0], [0.0, 0.0, 5.0, 11.0, 4.0, 1.0, 0.0, 0.0, 0.0, 0.0, 15.0, 16.0, 16.0, 11.0, 0.0, 0.0, 0.0, 2.0, 16.0, 9.0, 2.0, 12.0, 4.0, 0.0, 0.0, 6.0, 13.0, 0.0, 0.0, 6.0, 6.0, 0.0, 0.0, 3.0, 13.0, 0.0, 0.0, 5.0, 9.0, 0.0, 0.0, 3.0, 16.0, 0.0, 0.0, 6.0, 8.0, 0.0, 0.0, 0.0, 13.0, 12.0, 8.0, 16.0, 7.0, 0.0, 0.0, 0.0, 4.0, 13.0, 12.0, 10.0, 0.0, 0.0], [0.0, 0.0, 1.0, 13.0, 16.0, 14.0, 4.0, 0.0, 0.0, 2.0, 11.0, 8.0, 4.0, 11.0, 7.0, 0.0, 0.0, 6.0, 16.0, 3.0, 3.0, 13.0, 2.0, 0.0, 0.0, 0.0, 9.0, 14.0, 14.0, 4.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 10.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 11.0, 10.0, 15.0, 4.0, 0.0, 0.0, 0.0, 0.0, 1.0, 14.0, 15.0, 1.0, 0.0, 0.0], [0.0, 0.0, 0.0, 9.0, 15.0, 12.0, 1.0, 0.0, 0.0, 1.0, 11.0, 12.0, 5.0, 15.0, 4.0, 0.0, 0.0, 6.0, 14.0, 0.0, 0.0, 13.0, 7.0, 0.0, 0.0, 5.0, 16.0, 12.0, 12.0, 16.0, 4.0, 0.0, 0.0, 0.0, 3.0, 8.0, 14.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 9.0, 0.0, 0.0, 0.0], [0.0, 1.0, 9.0, 15.0, 16.0, 9.0, 0.0, 0.0, 0.0, 6.0, 12.0, 1.0, 2.0, 16.0, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 8.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 15.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 15.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 13.0, 2.0, 0.0, 0.0, 2.0, 7.0, 4.0, 4.0, 14.0, 3.0, 0.0, 0.0, 0.0, 9.0, 16.0, 16.0, 10.0, 0.0, 0.0], [0.0, 0.0, 9.0, 15.0, 5.0, 0.0, 0.0, 0.0, 0.0, 3.0, 15.0, 15.0, 16.0, 4.0, 0.0, 0.0, 0.0, 10.0, 14.0, 0.0, 9.0, 14.0, 0.0, 0.0, 0.0, 8.0, 12.0, 0.0, 0.0, 12.0, 5.0, 0.0, 0.0, 8.0, 8.0, 0.0, 0.0, 10.0, 8.0, 0.0, 0.0, 5.0, 14.0, 0.0, 0.0, 12.0, 8.0, 0.0, 0.0, 0.0, 16.0, 7.0, 12.0, 16.0, 4.0, 0.0, 0.0, 0.0, 9.0, 16.0, 15.0, 7.0, 0.0, 0.0], [0.0, 0.0, 0.0, 0.0, 13.0, 16.0, 6.0, 0.0, 0.0, 0.0, 3.0, 11.0, 16.0, 16.0, 5.0, 0.0, 0.0, 5.0, 16.0, 16.0, 16.0, 16.0, 4.0, 0.0, 0.0, 4.0, 10.0, 9.0, 16.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 1.0, 12.0, 14.0, 5.0, 0.0], [0.0, 0.0, 7.0, 14.0, 5.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 16.0, 11.0, 0.0, 0.0, 0.0, 0.0, 2.0, 14.0, 2.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 14.0, 8.0, 10.0, 0.0, 0.0, 0.0, 7.0, 12.0, 12.0, 12.0, 15.0, 2.0], [0.0, 0.0, 8.0, 12.0, 12.0, 14.0, 3.0, 0.0, 0.0, 0.0, 11.0, 11.0, 10.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 16.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 8.0, 16.0, 4.0, 0.0, 0.0, 0.0, 3.0, 0.0, 0.0, 16.0, 4.0, 0.0, 0.0, 1.0, 16.0, 9.0, 9.0, 15.0, 2.0, 0.0, 0.0, 1.0, 11.0, 14.0, 15.0, 3.0, 0.0, 0.0], [0.0, 0.0, 0.0, 2.0, 13.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 15.0, 2.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 12.0, 9.0, 14.0, 6.0, 0.0, 0.0, 0.0, 5.0, 14.0, 0.0, 13.0, 7.0, 1.0, 0.0, 0.0, 9.0, 15.0, 12.0, 16.0, 16.0, 4.0, 0.0, 0.0, 2.0, 8.0, 9.0, 16.0, 10.0, 1.0, 0.0, 0.0, 0.0, 0.0, 1.0, 13.0, 2.0, 0.0, 0.0], [0.0, 0.0, 12.0, 13.0, 12.0, 12.0, 12.0, 0.0, 0.0, 0.0, 16.0, 13.0, 12.0, 11.0, 11.0, 0.0, 0.0, 0.0, 16.0, 13.0, 11.0, 2.0, 0.0, 0.0, 0.0, 3.0, 16.0, 14.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 11.0, 0.0, 0.0, 0.0, 1.0, 14.0, 11.0, 15.0, 9.0, 0.0, 0.0, 0.0, 0.0, 10.0, 14.0, 12.0, 0.0, 0.0, 0.0], [0.0, 0.0, 1.0, 11.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 12.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 5.0, 5.0, 4.0, 0.0, 0.0, 0.0, 7.0, 16.0, 16.0, 16.0, 16.0, 5.0, 0.0, 0.0, 0.0, 16.0, 13.0, 4.0, 13.0, 7.0, 0.0, 0.0, 0.0, 9.0, 16.0, 14.0, 16.0, 4.0, 0.0, 0.0, 0.0, 1.0, 11.0, 14.0, 9.0, 0.0, 0.0], [0.0, 0.0, 2.0, 12.0, 8.0, 7.0, 6.0, 2.0, 0.0, 0.0, 9.0, 16.0, 15.0, 16.0, 16.0, 5.0, 0.0, 0.0, 13.0, 11.0, 0.0, 10.0, 14.0, 0.0, 0.0, 0.0, 11.0, 3.0, 2.0, 15.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 2.0, 0.0, 0.0, 0.0], [0.0, 0.0, 1.0, 6.0, 8.0, 9.0, 3.0, 0.0, 0.0, 0.0, 13.0, 15.0, 12.0, 11.0, 7.0, 0.0, 0.0, 0.0, 13.0, 11.0, 0.0, 9.0, 7.0, 0.0, 0.0, 0.0, 5.0, 15.0, 15.0, 15.0, 0.0, 0.0, 0.0, 0.0, 1.0, 14.0, 16.0, 16.0, 0.0, 0.0, 0.0, 0.0, 11.0, 9.0, 0.0, 16.0, 1.0, 0.0, 0.0, 0.0, 9.0, 10.0, 10.0, 13.0, 0.0, 0.0, 0.0, 0.0, 3.0, 11.0, 9.0, 2.0, 0.0, 0.0], [0.0, 0.0, 7.0, 14.0, 13.0, 8.0, 0.0, 0.0, 0.0, 1.0, 15.0, 13.0, 14.0, 14.0, 0.0, 0.0, 0.0, 0.0, 13.0, 13.0, 13.0, 16.0, 3.0, 0.0, 0.0, 0.0, 4.0, 14.0, 13.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 4.0, 0.0, 0.0, 7.0, 16.0, 9.0, 10.0, 15.0, 2.0, 0.0, 0.0, 1.0, 8.0, 13.0, 15.0, 8.0, 0.0, 0.0], [0.0, 0.0, 4.0, 13.0, 12.0, 1.0, 0.0, 0.0, 0.0, 2.0, 15.0, 14.0, 16.0, 13.0, 0.0, 0.0, 0.0, 6.0, 16.0, 4.0, 6.0, 16.0, 5.0, 0.0, 0.0, 8.0, 15.0, 1.0, 0.0, 12.0, 8.0, 0.0, 0.0, 8.0, 12.0, 0.0, 0.0, 12.0, 8.0, 0.0, 0.0, 5.0, 13.0, 0.0, 1.0, 13.0, 8.0, 0.0, 0.0, 1.0, 15.0, 10.0, 12.0, 16.0, 3.0, 0.0, 0.0, 0.0, 6.0, 16.0, 13.0, 4.0, 0.0, 0.0], [0.0, 0.0, 1.0, 8.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 16.0, 12.0, 0.0, 0.0, 0.0, 1.0, 15.0, 16.0, 16.0, 12.0, 0.0, 0.0, 0.0, 3.0, 12.0, 15.0, 16.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 5.0, 13.0, 7.0, 0.0, 0.0], [0.0, 0.0, 7.0, 13.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 16.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 5.0, 15.0, 3.0, 0.0, 0.0, 0.0, 0.0, 6.0, 2.0, 14.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 4.0, 4.0, 0.0, 0.0, 0.0, 7.0, 16.0, 16.0, 16.0, 16.0, 3.0, 0.0, 0.0, 6.0, 15.0, 6.0, 9.0, 9.0, 1.0], [0.0, 0.0, 10.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 14.0, 16.0, 2.0, 0.0, 0.0, 0.0, 3.0, 15.0, 8.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 10.0, 15.0, 2.0, 0.0, 0.0, 0.0, 10.0, 0.0, 0.0, 14.0, 8.0, 0.0, 0.0, 1.0, 16.0, 6.0, 8.0, 13.0, 8.0, 0.0, 0.0, 1.0, 15.0, 16.0, 13.0, 10.0, 1.0, 0.0], [0.0, 0.0, 0.0, 11.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 4.0, 3.0, 0.0, 0.0, 0.0, 0.0, 10.0, 9.0, 16.0, 4.0, 0.0, 0.0, 0.0, 2.0, 14.0, 5.0, 16.0, 2.0, 0.0, 0.0, 0.0, 8.0, 13.0, 7.0, 16.0, 11.0, 2.0, 0.0, 0.0, 10.0, 16.0, 16.0, 16.0, 14.0, 1.0, 0.0, 0.0, 0.0, 0.0, 11.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 7.0, 0.0, 0.0, 0.0], [0.0, 1.0, 8.0, 8.0, 9.0, 13.0, 8.0, 0.0, 0.0, 2.0, 16.0, 16.0, 16.0, 14.0, 9.0, 0.0, 0.0, 3.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 16.0, 15.0, 1.0, 0.0, 0.0, 0.0, 5.0, 10.0, 8.0, 15.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 7.0, 0.0, 0.0, 0.0, 0.0, 15.0, 12.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 9.0, 0.0, 0.0, 0.0], [0.0, 0.0, 2.0, 11.0, 13.0, 4.0, 0.0, 0.0, 0.0, 0.0, 12.0, 16.0, 13.0, 15.0, 0.0, 0.0, 0.0, 0.0, 16.0, 9.0, 1.0, 3.0, 0.0, 0.0, 0.0, 4.0, 16.0, 6.0, 14.0, 9.0, 1.0, 0.0, 0.0, 7.0, 16.0, 16.0, 16.0, 16.0, 6.0, 0.0, 0.0, 1.0, 16.0, 14.0, 4.0, 16.0, 8.0, 0.0, 0.0, 0.0, 12.0, 16.0, 13.0, 16.0, 2.0, 0.0, 0.0, 0.0, 2.0, 10.0, 16.0, 7.0, 0.0, 0.0], [0.0, 0.0, 1.0, 8.0, 8.0, 9.0, 12.0, 7.0, 0.0, 0.0, 8.0, 16.0, 12.0, 13.0, 16.0, 5.0, 0.0, 0.0, 11.0, 6.0, 0.0, 8.0, 11.0, 0.0, 0.0, 0.0, 15.0, 3.0, 1.0, 15.0, 3.0, 0.0, 0.0, 0.0, 1.0, 0.0, 10.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 13.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 11.0, 1.0, 0.0, 0.0, 0.0], [0.0, 0.0, 5.0, 11.0, 8.0, 7.0, 0.0, 0.0, 0.0, 3.0, 16.0, 11.0, 9.0, 16.0, 4.0, 0.0, 0.0, 0.0, 14.0, 3.0, 7.0, 15.0, 0.0, 0.0, 0.0, 0.0, 5.0, 15.0, 15.0, 3.0, 0.0, 0.0, 0.0, 0.0, 10.0, 15.0, 14.0, 1.0, 0.0, 0.0, 0.0, 4.0, 13.0, 0.0, 9.0, 7.0, 0.0, 0.0, 0.0, 3.0, 11.0, 5.0, 13.0, 7.0, 0.0, 0.0, 0.0, 0.0, 6.0, 10.0, 6.0, 0.0, 0.0, 0.0], [0.0, 0.0, 5.0, 16.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 13.0, 13.0, 11.0, 0.0, 0.0, 0.0, 0.0, 13.0, 8.0, 6.0, 16.0, 0.0, 0.0, 0.0, 0.0, 7.0, 14.0, 16.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 7.0, 8.0, 14.0, 7.0, 0.0, 0.0, 0.0, 4.0, 0.0, 0.0, 8.0, 12.0, 0.0, 0.0, 1.0, 15.0, 11.0, 8.0, 13.0, 11.0, 0.0, 0.0, 0.0, 5.0, 11.0, 12.0, 14.0, 3.0, 0.0], [0.0, 0.0, 3.0, 12.0, 11.0, 1.0, 0.0, 0.0, 0.0, 1.0, 14.0, 14.0, 15.0, 8.0, 0.0, 0.0, 0.0, 3.0, 16.0, 2.0, 5.0, 16.0, 1.0, 0.0, 0.0, 4.0, 16.0, 0.0, 0.0, 14.0, 6.0, 0.0, 0.0, 4.0, 16.0, 0.0, 0.0, 11.0, 8.0, 0.0, 0.0, 3.0, 16.0, 2.0, 0.0, 10.0, 8.0, 0.0, 0.0, 0.0, 10.0, 15.0, 13.0, 16.0, 3.0, 0.0, 0.0, 0.0, 1.0, 15.0, 14.0, 6.0, 0.0, 0.0], [0.0, 0.0, 0.0, 5.0, 15.0, 13.0, 1.0, 0.0, 0.0, 0.0, 2.0, 14.0, 16.0, 16.0, 4.0, 0.0, 0.0, 0.0, 8.0, 16.0, 16.0, 16.0, 4.0, 0.0, 0.0, 6.0, 15.0, 16.0, 16.0, 16.0, 1.0, 0.0, 0.0, 3.0, 7.0, 10.0, 16.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 12.0, 16.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 6.0, 14.0, 12.0, 1.0, 0.0], [0.0, 0.0, 9.0, 11.0, 2.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 14.0, 12.0, 0.0, 0.0, 0.0, 0.0, 9.0, 10.0, 5.0, 15.0, 0.0, 0.0, 0.0, 0.0, 5.0, 10.0, 4.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 13.0, 9.0, 2.0, 1.0, 0.0, 0.0, 0.0, 10.0, 16.0, 15.0, 14.0, 15.0, 0.0, 0.0, 0.0, 7.0, 9.0, 9.0, 12.0, 4.0, 0.0], [0.0, 0.0, 3.0, 13.0, 13.0, 1.0, 0.0, 0.0, 0.0, 0.0, 10.0, 15.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 5.0, 3.0, 15.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 15.0, 1.0, 0.0, 0.0, 2.0, 7.0, 0.0, 4.0, 16.0, 8.0, 0.0, 0.0, 5.0, 13.0, 0.0, 0.0, 14.0, 9.0, 0.0, 0.0, 0.0, 14.0, 11.0, 9.0, 16.0, 8.0, 0.0, 0.0, 0.0, 3.0, 12.0, 13.0, 8.0, 0.0, 0.0], [0.0, 0.0, 0.0, 4.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 15.0, 8.0, 0.0, 0.0, 0.0, 1.0, 15.0, 8.0, 14.0, 7.0, 0.0, 0.0, 0.0, 6.0, 16.0, 8.0, 14.0, 14.0, 4.0, 0.0, 0.0, 10.0, 16.0, 16.0, 16.0, 13.0, 1.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 13.0, 2.0, 0.0, 0.0], [0.0, 0.0, 6.0, 8.0, 11.0, 14.0, 14.0, 0.0, 0.0, 1.0, 16.0, 16.0, 13.0, 12.0, 7.0, 0.0, 0.0, 0.0, 16.0, 7.0, 1.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 16.0, 15.0, 1.0, 0.0, 0.0, 0.0, 1.0, 5.0, 6.0, 13.0, 9.0, 0.0, 0.0, 0.0, 0.0, 6.0, 0.0, 12.0, 9.0, 0.0, 0.0, 0.0, 0.0, 12.0, 10.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 10.0, 14.0, 8.0, 0.0, 0.0, 0.0], [0.0, 0.0, 1.0, 11.0, 14.0, 6.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 14.0, 4.0, 0.0, 0.0, 0.0, 0.0, 12.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 16.0, 12.0, 5.0, 0.0, 0.0, 0.0, 7.0, 16.0, 16.0, 16.0, 16.0, 3.0, 0.0, 0.0, 3.0, 15.0, 5.0, 0.0, 15.0, 13.0, 0.0, 0.0, 0.0, 11.0, 16.0, 14.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 12.0, 13.0, 9.0, 1.0, 0.0], [0.0, 0.0, 2.0, 10.0, 10.0, 12.0, 15.0, 10.0, 0.0, 0.0, 9.0, 16.0, 12.0, 8.0, 15.0, 6.0, 0.0, 0.0, 13.0, 9.0, 0.0, 4.0, 12.0, 1.0, 0.0, 1.0, 16.0, 3.0, 1.0, 13.0, 2.0, 0.0, 0.0, 0.0, 5.0, 0.0, 9.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 13.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 2.0, 0.0, 0.0, 0.0], [0.0, 0.0, 1.0, 11.0, 14.0, 5.0, 0.0, 0.0, 0.0, 1.0, 16.0, 14.0, 6.0, 13.0, 1.0, 0.0, 0.0, 9.0, 14.0, 2.0, 0.0, 16.0, 4.0, 0.0, 0.0, 5.0, 13.0, 0.0, 6.0, 16.0, 1.0, 0.0, 0.0, 1.0, 15.0, 16.0, 16.0, 12.0, 0.0, 0.0, 0.0, 0.0, 5.0, 14.0, 3.0, 13.0, 4.0, 0.0, 0.0, 0.0, 3.0, 15.0, 7.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 8.0, 0.0, 0.0], [0.0, 0.0, 3.0, 14.0, 10.0, 3.0, 0.0, 0.0, 0.0, 0.0, 10.0, 14.0, 13.0, 15.0, 1.0, 0.0, 0.0, 0.0, 12.0, 4.0, 4.0, 16.0, 4.0, 0.0, 0.0, 0.0, 6.0, 15.0, 15.0, 16.0, 8.0, 0.0, 0.0, 0.0, 1.0, 8.0, 8.0, 14.0, 8.0, 0.0, 0.0, 0.0, 2.0, 0.0, 0.0, 9.0, 11.0, 0.0, 0.0, 0.0, 16.0, 10.0, 8.0, 12.0, 12.0, 0.0, 0.0, 0.0, 7.0, 12.0, 14.0, 14.0, 6.0, 0.0], [0.0, 0.0, 4.0, 14.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 16.0, 16.0, 10.0, 0.0, 0.0, 0.0, 4.0, 16.0, 4.0, 5.0, 16.0, 6.0, 0.0, 0.0, 8.0, 14.0, 0.0, 1.0, 15.0, 5.0, 0.0, 0.0, 6.0, 16.0, 0.0, 0.0, 13.0, 4.0, 0.0, 0.0, 4.0, 15.0, 1.0, 7.0, 16.0, 1.0, 0.0, 0.0, 2.0, 15.0, 14.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 4.0, 13.0, 9.0, 0.0, 0.0, 0.0], [0.0, 0.0, 5.0, 14.0, 11.0, 1.0, 0.0, 0.0, 0.0, 0.0, 16.0, 10.0, 14.0, 13.0, 0.0, 0.0, 0.0, 0.0, 14.0, 2.0, 8.0, 16.0, 6.0, 0.0, 0.0, 0.0, 12.0, 7.0, 10.0, 16.0, 8.0, 0.0, 0.0, 0.0, 5.0, 16.0, 16.0, 15.0, 8.0, 0.0, 0.0, 1.0, 3.0, 1.0, 2.0, 11.0, 9.0, 0.0, 0.0, 1.0, 15.0, 6.0, 4.0, 12.0, 11.0, 0.0, 0.0, 0.0, 6.0, 16.0, 14.0, 12.0, 3.0, 0.0], [0.0, 1.0, 14.0, 13.0, 12.0, 8.0, 5.0, 0.0, 0.0, 4.0, 16.0, 11.0, 12.0, 15.0, 7.0, 0.0, 0.0, 8.0, 16.0, 16.0, 13.0, 1.0, 0.0, 0.0, 0.0, 3.0, 9.0, 7.0, 15.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 9.0, 0.0, 0.0, 0.0, 0.0, 2.0, 0.0, 6.0, 12.0, 0.0, 0.0, 0.0, 0.0, 16.0, 8.0, 12.0, 11.0, 0.0, 0.0, 0.0, 0.0, 12.0, 14.0, 12.0, 4.0, 0.0, 0.0], [0.0, 1.0, 8.0, 12.0, 16.0, 16.0, 7.0, 0.0, 0.0, 7.0, 16.0, 12.0, 12.0, 12.0, 5.0, 0.0, 0.0, 4.0, 13.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 16.0, 13.0, 0.0, 0.0, 0.0, 0.0, 2.0, 8.0, 6.0, 15.0, 6.0, 0.0, 0.0, 0.0, 0.0, 7.0, 0.0, 9.0, 12.0, 0.0, 0.0, 0.0, 0.0, 16.0, 11.0, 13.0, 12.0, 0.0, 0.0, 0.0, 0.0, 5.0, 13.0, 12.0, 5.0, 0.0, 0.0], [0.0, 0.0, 1.0, 9.0, 14.0, 11.0, 1.0, 0.0, 0.0, 0.0, 10.0, 15.0, 9.0, 13.0, 5.0, 0.0, 0.0, 3.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 16.0, 16.0, 10.0, 0.0, 0.0, 0.0, 7.0, 16.0, 11.0, 10.0, 16.0, 5.0, 0.0, 0.0, 2.0, 16.0, 5.0, 0.0, 12.0, 8.0, 0.0, 0.0, 0.0, 10.0, 15.0, 13.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 9.0, 12.0, 7.0, 0.0, 0.0], [0.0, 0.0, 11.0, 10.0, 12.0, 14.0, 11.0, 0.0, 0.0, 0.0, 16.0, 16.0, 16.0, 16.0, 7.0, 0.0, 0.0, 1.0, 16.0, 16.0, 16.0, 12.0, 0.0, 0.0, 0.0, 1.0, 5.0, 2.0, 11.0, 15.0, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 2.0, 16.0, 0.0, 0.0, 0.0, 3.0, 12.0, 0.0, 3.0, 15.0, 0.0, 0.0, 0.0, 6.0, 15.0, 8.0, 13.0, 11.0, 0.0, 0.0, 0.0, 0.0, 9.0, 14.0, 9.0, 2.0, 0.0, 0.0], [0.0, 0.0, 10.0, 15.0, 6.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 14.0, 16.0, 7.0, 0.0, 0.0, 0.0, 4.0, 16.0, 8.0, 5.0, 16.0, 1.0, 0.0, 0.0, 5.0, 12.0, 0.0, 0.0, 12.0, 8.0, 0.0, 0.0, 8.0, 9.0, 0.0, 0.0, 12.0, 8.0, 0.0, 0.0, 5.0, 12.0, 0.0, 1.0, 15.0, 3.0, 0.0, 0.0, 4.0, 13.0, 4.0, 12.0, 13.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 13.0, 4.0, 0.0, 0.0], [0.0, 0.0, 9.0, 16.0, 11.0, 1.0, 0.0, 0.0, 0.0, 5.0, 16.0, 10.0, 16.0, 9.0, 0.0, 0.0, 0.0, 6.0, 14.0, 1.0, 9.0, 15.0, 0.0, 0.0, 0.0, 1.0, 15.0, 6.0, 11.0, 16.0, 2.0, 0.0, 0.0, 0.0, 7.0, 16.0, 15.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 3.0, 1.0, 11.0, 9.0, 0.0, 0.0, 3.0, 14.0, 9.0, 9.0, 14.0, 12.0, 0.0, 0.0, 0.0, 12.0, 16.0, 16.0, 13.0, 3.0, 0.0], [0.0, 0.0, 4.0, 15.0, 13.0, 3.0, 0.0, 0.0, 0.0, 1.0, 16.0, 13.0, 16.0, 15.0, 1.0, 0.0, 0.0, 6.0, 15.0, 0.0, 4.0, 16.0, 4.0, 0.0, 0.0, 3.0, 15.0, 14.0, 16.0, 14.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 16.0, 11.0, 0.0, 0.0, 0.0, 0.0, 11.0, 12.0, 8.0, 16.0, 5.0, 0.0, 0.0, 0.0, 16.0, 10.0, 12.0, 16.0, 3.0, 0.0, 0.0, 0.0, 7.0, 16.0, 13.0, 7.0, 0.0, 0.0], [0.0, 1.0, 7.0, 12.0, 13.0, 3.0, 0.0, 0.0, 0.0, 7.0, 13.0, 6.0, 15.0, 14.0, 0.0, 0.0, 0.0, 6.0, 10.0, 0.0, 13.0, 16.0, 0.0, 0.0, 0.0, 1.0, 13.0, 13.0, 15.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 4.0, 1.0, 12.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 8.0, 0.0, 0.0, 0.0, 12.0, 13.0, 5.0, 14.0, 8.0, 0.0, 0.0, 0.0, 5.0, 12.0, 16.0, 11.0, 1.0, 0.0], [0.0, 0.0, 5.0, 12.0, 9.0, 1.0, 0.0, 0.0, 0.0, 0.0, 16.0, 9.0, 15.0, 9.0, 0.0, 0.0, 0.0, 2.0, 14.0, 1.0, 10.0, 12.0, 0.0, 0.0, 0.0, 0.0, 9.0, 14.0, 16.0, 11.0, 0.0, 0.0, 0.0, 0.0, 3.0, 15.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 12.0, 10.0, 3.0, 13.0, 1.0, 0.0, 0.0, 0.0, 11.0, 8.0, 5.0, 16.0, 3.0, 0.0, 0.0, 0.0, 4.0, 10.0, 8.0, 3.0, 0.0, 0.0], [0.0, 0.0, 0.0, 5.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 14.0, 12.0, 0.0, 0.0, 0.0, 0.0, 7.0, 13.0, 6.0, 13.0, 0.0, 0.0, 0.0, 2.0, 16.0, 3.0, 10.0, 11.0, 0.0, 0.0, 0.0, 6.0, 16.0, 13.0, 16.0, 16.0, 5.0, 0.0, 0.0, 2.0, 8.0, 9.0, 16.0, 11.0, 2.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 12.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 1.0, 12.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 16.0, 1.0, 0.0, 0.0, 1.0, 7.0, 15.0, 16.0, 14.0, 0.0, 0.0, 0.0, 4.0, 16.0, 16.0, 16.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 15.0, 13.0, 0.0, 0.0], [0.0, 0.0, 1.0, 8.0, 11.0, 13.0, 15.0, 3.0, 0.0, 0.0, 7.0, 16.0, 10.0, 10.0, 16.0, 5.0, 0.0, 1.0, 13.0, 3.0, 0.0, 9.0, 14.0, 0.0, 0.0, 3.0, 15.0, 0.0, 2.0, 15.0, 4.0, 0.0, 0.0, 5.0, 8.0, 0.0, 10.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 15.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 7.0, 0.0, 0.0, 0.0], [0.0, 0.0, 6.0, 12.0, 12.0, 15.0, 16.0, 6.0, 0.0, 2.0, 15.0, 16.0, 14.0, 16.0, 15.0, 3.0, 0.0, 3.0, 16.0, 6.0, 6.0, 16.0, 6.0, 0.0, 0.0, 7.0, 15.0, 4.0, 14.0, 11.0, 0.0, 0.0, 0.0, 1.0, 2.0, 8.0, 15.0, 3.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 3.0, 0.0, 0.0, 0.0], [0.0, 0.0, 6.0, 15.0, 14.0, 2.0, 0.0, 0.0, 0.0, 5.0, 16.0, 11.0, 14.0, 12.0, 0.0, 0.0, 0.0, 5.0, 11.0, 3.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 10.0, 16.0, 3.0, 0.0, 0.0, 1.0, 4.0, 0.0, 0.0, 12.0, 7.0, 0.0, 0.0, 7.0, 16.0, 5.0, 6.0, 16.0, 5.0, 0.0, 0.0, 1.0, 8.0, 15.0, 16.0, 12.0, 1.0, 0.0], [0.0, 0.0, 3.0, 8.0, 9.0, 11.0, 14.0, 1.0, 0.0, 0.0, 9.0, 16.0, 16.0, 16.0, 13.0, 0.0, 0.0, 0.0, 16.0, 5.0, 8.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 16.0, 16.0, 6.0, 0.0, 0.0, 0.0, 2.0, 9.0, 2.0, 9.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 8.0, 0.0, 0.0, 0.0, 0.0, 8.0, 12.0, 13.0, 5.0, 0.0, 0.0, 0.0, 0.0, 5.0, 13.0, 10.0, 1.0, 0.0, 0.0], [0.0, 0.0, 0.0, 5.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 16.0, 8.0, 0.0, 0.0, 0.0, 2.0, 15.0, 16.0, 16.0, 8.0, 0.0, 0.0, 0.0, 4.0, 8.0, 12.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0, 4.0, 15.0, 11.0, 2.0, 0.0], [0.0, 0.0, 2.0, 15.0, 10.0, 1.0, 0.0, 0.0, 0.0, 2.0, 13.0, 12.0, 14.0, 9.0, 0.0, 0.0, 0.0, 6.0, 16.0, 1.0, 1.0, 14.0, 2.0, 0.0, 0.0, 8.0, 16.0, 0.0, 0.0, 10.0, 5.0, 0.0, 0.0, 8.0, 14.0, 2.0, 0.0, 8.0, 8.0, 0.0, 0.0, 6.0, 14.0, 0.0, 0.0, 8.0, 8.0, 0.0, 0.0, 1.0, 14.0, 12.0, 8.0, 15.0, 6.0, 0.0, 0.0, 0.0, 3.0, 13.0, 16.0, 8.0, 1.0, 0.0], [0.0, 0.0, 2.0, 15.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 14.0, 15.0, 8.0, 0.0, 0.0, 0.0, 7.0, 15.0, 3.0, 3.0, 15.0, 0.0, 0.0, 0.0, 6.0, 16.0, 1.0, 0.0, 9.0, 8.0, 0.0, 0.0, 4.0, 12.0, 0.0, 0.0, 8.0, 8.0, 0.0, 0.0, 0.0, 12.0, 3.0, 0.0, 12.0, 7.0, 0.0, 0.0, 0.0, 9.0, 13.0, 13.0, 15.0, 1.0, 0.0, 0.0, 0.0, 1.0, 9.0, 12.0, 5.0, 0.0, 0.0], [0.0, 0.0, 11.0, 15.0, 4.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 15.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 11.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 10.0, 3.0, 0.0, 0.0, 0.0, 11.0, 16.0, 16.0, 16.0, 16.0, 6.0, 0.0, 0.0, 11.0, 16.0, 10.0, 5.0, 13.0, 6.0], [0.0, 0.0, 12.0, 15.0, 3.0, 0.0, 0.0, 0.0, 0.0, 6.0, 15.0, 12.0, 14.0, 0.0, 0.0, 0.0, 0.0, 7.0, 5.0, 1.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 15.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 14.0, 1.0, 0.0, 0.0, 0.0, 0.0, 12.0, 16.0, 12.0, 8.0, 5.0, 0.0, 0.0, 0.0, 9.0, 8.0, 13.0, 15.0, 7.0, 0.0], [0.0, 0.0, 2.0, 12.0, 12.0, 12.0, 9.0, 2.0, 0.0, 0.0, 9.0, 15.0, 12.0, 13.0, 16.0, 5.0, 0.0, 0.0, 12.0, 8.0, 0.0, 8.0, 10.0, 0.0, 0.0, 1.0, 16.0, 3.0, 3.0, 15.0, 2.0, 0.0, 0.0, 1.0, 3.0, 0.0, 12.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 15.0, 3.0, 0.0, 0.0, 0.0], [0.0, 0.0, 3.0, 9.0, 14.0, 7.0, 0.0, 0.0, 0.0, 3.0, 15.0, 11.0, 8.0, 15.0, 2.0, 0.0, 0.0, 4.0, 16.0, 5.0, 2.0, 16.0, 7.0, 0.0, 0.0, 0.0, 4.0, 15.0, 13.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 16.0, 1.0, 0.0, 0.0, 0.0, 2.0, 15.0, 8.0, 16.0, 7.0, 0.0, 0.0, 0.0, 4.0, 16.0, 4.0, 15.0, 7.0, 0.0, 0.0, 0.0, 0.0, 10.0, 15.0, 10.0, 0.0, 0.0], [0.0, 0.0, 7.0, 13.0, 2.0, 0.0, 0.0, 0.0, 0.0, 11.0, 15.0, 12.0, 13.0, 0.0, 0.0, 0.0, 0.0, 12.0, 7.0, 0.0, 16.0, 4.0, 0.0, 0.0, 0.0, 4.0, 4.0, 0.0, 14.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 12.0, 16.0, 16.0, 12.0, 9.0, 0.0, 0.0, 0.0, 9.0, 12.0, 8.0, 10.0, 14.0, 0.0], [0.0, 0.0, 4.0, 15.0, 12.0, 2.0, 0.0, 0.0, 0.0, 2.0, 15.0, 7.0, 11.0, 10.0, 0.0, 0.0, 0.0, 4.0, 16.0, 0.0, 0.0, 15.0, 1.0, 0.0, 0.0, 6.0, 10.0, 0.0, 0.0, 10.0, 8.0, 0.0, 0.0, 8.0, 8.0, 0.0, 0.0, 6.0, 8.0, 0.0, 0.0, 5.0, 12.0, 0.0, 0.0, 11.0, 8.0, 0.0, 0.0, 2.0, 16.0, 7.0, 8.0, 16.0, 2.0, 0.0, 0.0, 0.0, 6.0, 15.0, 16.0, 8.0, 0.0, 0.0], [0.0, 0.0, 7.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 14.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 1.0, 4.0, 14.0, 12.0, 4.0, 1.0, 0.0, 0.0, 7.0, 16.0, 16.0, 16.0, 16.0, 5.0], [0.0, 0.0, 7.0, 15.0, 6.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 9.0, 14.0, 3.0, 0.0, 0.0, 0.0, 2.0, 14.0, 0.0, 13.0, 6.0, 0.0, 0.0, 0.0, 0.0, 2.0, 0.0, 11.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 15.0, 7.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 16.0, 16.0, 15.0, 0.0, 0.0, 0.0, 6.0, 15.0, 7.0, 4.0, 6.0, 1.0], [0.0, 0.0, 0.0, 11.0, 12.0, 1.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 9.0, 4.0, 0.0, 0.0, 0.0, 0.0, 3.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 2.0, 8.0, 2.0, 0.0, 0.0, 0.0, 5.0, 16.0, 16.0, 16.0, 14.0, 2.0, 0.0, 0.0, 2.0, 16.0, 9.0, 3.0, 13.0, 7.0, 0.0, 0.0, 0.0, 11.0, 14.0, 7.0, 16.0, 9.0, 0.0, 0.0, 0.0, 1.0, 10.0, 14.0, 10.0, 2.0, 0.0], [0.0, 0.0, 3.0, 10.0, 13.0, 7.0, 0.0, 0.0, 0.0, 1.0, 14.0, 13.0, 15.0, 14.0, 0.0, 0.0, 0.0, 0.0, 15.0, 5.0, 14.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 14.0, 16.0, 3.0, 0.0, 0.0, 4.0, 5.0, 0.0, 2.0, 16.0, 4.0, 0.0, 0.0, 10.0, 16.0, 10.0, 8.0, 16.0, 3.0, 0.0, 0.0, 0.0, 5.0, 12.0, 14.0, 8.0, 0.0, 0.0], [0.0, 0.0, 3.0, 14.0, 13.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 9.0, 16.0, 2.0, 0.0, 0.0, 0.0, 4.0, 12.0, 3.0, 16.0, 0.0, 0.0, 0.0, 0.0, 2.0, 9.0, 15.0, 16.0, 10.0, 1.0, 0.0, 0.0, 0.0, 0.0, 11.0, 8.0, 16.0, 6.0, 0.0, 0.0, 0.0, 6.0, 0.0, 0.0, 12.0, 8.0, 0.0, 0.0, 0.0, 14.0, 10.0, 5.0, 16.0, 7.0, 0.0, 0.0, 0.0, 3.0, 13.0, 16.0, 11.0, 1.0, 0.0], [0.0, 0.0, 0.0, 10.0, 12.0, 15.0, 16.0, 13.0, 0.0, 0.0, 6.0, 15.0, 6.0, 4.0, 14.0, 9.0, 0.0, 0.0, 10.0, 6.0, 0.0, 3.0, 14.0, 2.0, 0.0, 1.0, 14.0, 1.0, 0.0, 12.0, 6.0, 0.0, 0.0, 0.0, 3.0, 0.0, 5.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 13.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 6.0, 0.0, 0.0, 0.0], [0.0, 0.0, 4.0, 13.0, 14.0, 2.0, 0.0, 0.0, 0.0, 0.0, 15.0, 10.0, 11.0, 10.0, 0.0, 0.0, 0.0, 3.0, 15.0, 2.0, 12.0, 6.0, 0.0, 0.0, 0.0, 0.0, 3.0, 8.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 9.0, 16.0, 2.0, 0.0, 0.0, 0.0, 10.0, 3.0, 0.0, 13.0, 6.0, 0.0, 0.0, 0.0, 16.0, 5.0, 7.0, 16.0, 3.0, 0.0, 0.0, 0.0, 7.0, 13.0, 13.0, 8.0, 0.0, 0.0], [0.0, 0.0, 5.0, 14.0, 9.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 13.0, 16.0, 0.0, 0.0, 0.0, 0.0, 2.0, 13.0, 10.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 2.0, 4.0, 5.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 7.0, 0.0, 0.0, 0.0, 11.0, 8.0, 8.0, 16.0, 4.0, 0.0, 0.0, 0.0, 8.0, 13.0, 15.0, 10.0, 0.0, 0.0], [0.0, 0.0, 0.0, 5.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 15.0, 10.0, 5.0, 0.0, 0.0, 0.0, 0.0, 9.0, 11.0, 10.0, 10.0, 0.0, 0.0, 0.0, 2.0, 15.0, 2.0, 14.0, 6.0, 0.0, 0.0, 0.0, 8.0, 13.0, 5.0, 14.0, 13.0, 4.0, 0.0, 0.0, 11.0, 16.0, 16.0, 16.0, 14.0, 3.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 10.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 12.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 13.0, 1.0, 0.0, 0.0, 0.0, 1.0, 14.0, 15.0, 2.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 15.0, 10.0, 7.0, 0.0, 0.0, 0.0, 7.0, 16.0, 16.0, 12.0, 16.0, 6.0, 0.0, 0.0, 3.0, 16.0, 13.0, 0.0, 16.0, 12.0, 0.0, 0.0, 0.0, 11.0, 16.0, 13.0, 16.0, 12.0, 0.0, 0.0, 0.0, 1.0, 9.0, 13.0, 12.0, 4.0, 0.0], [0.0, 0.0, 2.0, 15.0, 13.0, 3.0, 0.0, 0.0, 0.0, 0.0, 12.0, 16.0, 9.0, 4.0, 0.0, 0.0, 0.0, 3.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 14.0, 12.0, 5.0, 0.0, 0.0, 0.0, 8.0, 16.0, 16.0, 16.0, 16.0, 0.0, 0.0, 0.0, 5.0, 16.0, 15.0, 6.0, 16.0, 9.0, 0.0, 0.0, 1.0, 13.0, 14.0, 13.0, 16.0, 3.0, 0.0, 0.0, 0.0, 3.0, 12.0, 14.0, 10.0, 0.0, 0.0], [0.0, 0.0, 2.0, 12.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 12.0, 4.0, 0.0, 0.0, 0.0, 0.0, 15.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 14.0, 8.0, 8.0, 0.0, 0.0, 0.0, 4.0, 16.0, 16.0, 13.0, 15.0, 8.0, 0.0, 0.0, 4.0, 16.0, 11.0, 1.0, 12.0, 12.0, 0.0, 0.0, 0.0, 11.0, 16.0, 12.0, 14.0, 15.0, 0.0, 0.0, 0.0, 1.0, 8.0, 12.0, 12.0, 6.0, 0.0], [0.0, 0.0, 0.0, 4.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 13.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 12.0, 6.0, 14.0, 4.0, 0.0, 0.0, 0.0, 4.0, 16.0, 9.0, 15.0, 13.0, 3.0, 0.0, 0.0, 4.0, 12.0, 12.0, 16.0, 14.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 3.0, 0.0, 0.0], [0.0, 0.0, 10.0, 16.0, 13.0, 5.0, 0.0, 0.0, 0.0, 7.0, 13.0, 5.0, 14.0, 12.0, 0.0, 0.0, 0.0, 9.0, 10.0, 0.0, 13.0, 14.0, 0.0, 0.0, 0.0, 4.0, 15.0, 13.0, 16.0, 15.0, 3.0, 0.0, 0.0, 0.0, 2.0, 6.0, 3.0, 12.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 8.0, 0.0, 0.0, 0.0, 12.0, 6.0, 5.0, 15.0, 4.0, 0.0, 0.0, 0.0, 9.0, 13.0, 16.0, 8.0, 0.0, 0.0], [0.0, 0.0, 0.0, 2.0, 16.0, 15.0, 3.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 16.0, 4.0, 0.0, 0.0, 0.0, 9.0, 16.0, 16.0, 14.0, 0.0, 0.0, 0.0, 7.0, 16.0, 16.0, 16.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 16.0, 7.0, 0.0], [0.0, 0.0, 4.0, 12.0, 16.0, 16.0, 11.0, 2.0, 0.0, 0.0, 15.0, 13.0, 8.0, 11.0, 8.0, 1.0, 0.0, 2.0, 15.0, 13.0, 16.0, 8.0, 0.0, 0.0, 0.0, 6.0, 16.0, 13.0, 13.0, 16.0, 2.0, 0.0, 0.0, 7.0, 11.0, 2.0, 2.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 15.0, 2.0, 0.0, 0.0, 0.0, 9.0, 6.0, 13.0, 10.0, 0.0, 0.0, 0.0, 0.0, 7.0, 14.0, 13.0, 1.0, 0.0, 0.0], [0.0, 0.0, 3.0, 14.0, 10.0, 1.0, 0.0, 0.0, 0.0, 2.0, 14.0, 12.0, 15.0, 14.0, 1.0, 0.0, 0.0, 6.0, 13.0, 0.0, 3.0, 14.0, 8.0, 0.0, 0.0, 5.0, 12.0, 0.0, 0.0, 11.0, 8.0, 0.0, 0.0, 4.0, 14.0, 0.0, 0.0, 12.0, 7.0, 0.0, 0.0, 1.0, 14.0, 4.0, 3.0, 16.0, 3.0, 0.0, 0.0, 0.0, 8.0, 12.0, 12.0, 12.0, 0.0, 0.0, 0.0, 0.0, 2.0, 15.0, 10.0, 3.0, 0.0, 0.0], [0.0, 0.0, 7.0, 14.0, 10.0, 7.0, 0.0, 0.0, 0.0, 5.0, 16.0, 14.0, 16.0, 14.0, 0.0, 0.0, 0.0, 7.0, 11.0, 0.0, 9.0, 14.0, 1.0, 0.0, 0.0, 4.0, 14.0, 7.0, 11.0, 16.0, 5.0, 0.0, 0.0, 0.0, 9.0, 15.0, 15.0, 12.0, 8.0, 0.0, 0.0, 0.0, 0.0, 1.0, 1.0, 8.0, 9.0, 0.0, 0.0, 0.0, 14.0, 11.0, 10.0, 15.0, 9.0, 0.0, 0.0, 0.0, 9.0, 13.0, 13.0, 9.0, 0.0, 0.0], [0.0, 0.0, 9.0, 13.0, 14.0, 15.0, 13.0, 0.0, 0.0, 0.0, 16.0, 13.0, 12.0, 12.0, 5.0, 0.0, 0.0, 4.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 16.0, 11.0, 1.0, 0.0, 0.0, 0.0, 1.0, 7.0, 8.0, 16.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 13.0, 0.0, 0.0, 0.0, 0.0, 12.0, 8.0, 12.0, 10.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 13.0, 3.0, 0.0, 0.0], [0.0, 0.0, 10.0, 13.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 14.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 4.0, 8.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 16.0, 16.0, 13.0, 11.0, 0.0, 0.0, 0.0, 8.0, 14.0, 8.0, 11.0, 14.0, 1.0], [0.0, 0.0, 1.0, 7.0, 6.0, 11.0, 1.0, 0.0, 0.0, 0.0, 13.0, 11.0, 15.0, 16.0, 7.0, 0.0, 0.0, 0.0, 13.0, 6.0, 11.0, 16.0, 4.0, 0.0, 0.0, 0.0, 3.0, 15.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 4.0, 15.0, 14.0, 7.0, 0.0, 0.0, 0.0, 1.0, 14.0, 3.0, 1.0, 13.0, 0.0, 0.0, 0.0, 2.0, 12.0, 2.0, 3.0, 12.0, 0.0, 0.0, 0.0, 0.0, 1.0, 10.0, 8.0, 1.0, 0.0, 0.0], [0.0, 0.0, 13.0, 14.0, 3.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 15.0, 11.0, 0.0, 0.0, 0.0, 0.0, 7.0, 12.0, 4.0, 16.0, 0.0, 0.0, 0.0, 0.0, 3.0, 6.0, 4.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 14.0, 7.0, 0.0, 0.0, 0.0, 0.0, 1.0, 14.0, 16.0, 10.0, 10.0, 2.0, 0.0, 0.0, 0.0, 11.0, 12.0, 14.0, 14.0, 6.0, 0.0], [0.0, 0.0, 4.0, 15.0, 12.0, 1.0, 0.0, 0.0, 0.0, 0.0, 12.0, 11.0, 13.0, 13.0, 1.0, 0.0, 0.0, 3.0, 12.0, 0.0, 0.0, 14.0, 6.0, 0.0, 0.0, 8.0, 12.0, 0.0, 0.0, 11.0, 8.0, 0.0, 0.0, 8.0, 12.0, 0.0, 0.0, 8.0, 8.0, 0.0, 0.0, 6.0, 13.0, 0.0, 0.0, 11.0, 7.0, 0.0, 0.0, 4.0, 16.0, 7.0, 10.0, 15.0, 2.0, 0.0, 0.0, 0.0, 7.0, 13.0, 12.0, 2.0, 0.0, 0.0], [0.0, 0.0, 3.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 4.0, 15.0, 15.0, 16.0, 7.0, 0.0, 0.0, 0.0, 8.0, 16.0, 3.0, 7.0, 12.0, 0.0, 0.0, 0.0, 6.0, 16.0, 3.0, 0.0, 13.0, 3.0, 0.0, 0.0, 8.0, 10.0, 0.0, 0.0, 12.0, 8.0, 0.0, 0.0, 1.0, 15.0, 2.0, 0.0, 9.0, 11.0, 0.0, 0.0, 0.0, 13.0, 14.0, 10.0, 15.0, 12.0, 0.0, 0.0, 0.0, 3.0, 10.0, 16.0, 14.0, 3.0, 0.0], [0.0, 0.0, 0.0, 5.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 1.0, 13.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 13.0, 16.0, 16.0, 4.0, 0.0, 0.0, 0.0, 5.0, 15.0, 16.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 14.0, 9.0, 0.0, 0.0], [0.0, 0.0, 1.0, 11.0, 12.0, 13.0, 14.0, 5.0, 0.0, 0.0, 7.0, 15.0, 11.0, 10.0, 16.0, 6.0, 0.0, 0.0, 10.0, 7.0, 0.0, 2.0, 16.0, 2.0, 0.0, 1.0, 16.0, 1.0, 0.0, 12.0, 8.0, 0.0, 0.0, 2.0, 11.0, 0.0, 4.0, 14.0, 1.0, 0.0, 0.0, 0.0, 0.0, 1.0, 14.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 7.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 9.0, 14.0, 4.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 12.0, 4.0, 0.0, 0.0, 0.0, 1.0, 16.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 7.0, 3.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 14.0, 16.0, 10.0, 0.0, 0.0, 0.0, 3.0, 16.0, 15.0, 10.0, 16.0, 6.0, 0.0, 0.0, 0.0, 12.0, 16.0, 7.0, 13.0, 9.0, 0.0, 0.0, 0.0, 1.0, 11.0, 16.0, 16.0, 9.0, 0.0], [0.0, 0.0, 7.0, 13.0, 11.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 11.0, 16.0, 0.0, 0.0, 0.0, 0.0, 3.0, 8.0, 5.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 15.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 8.0, 16.0, 5.0, 0.0, 0.0, 6.0, 8.0, 0.0, 0.0, 11.0, 9.0, 0.0, 0.0, 0.0, 16.0, 6.0, 6.0, 14.0, 6.0, 0.0, 0.0, 0.0, 6.0, 15.0, 16.0, 10.0, 0.0, 0.0], [0.0, 0.0, 11.0, 11.0, 2.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 6.0, 12.0, 8.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 6.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 6.0, 3.0, 5.0, 0.0, 0.0, 0.0, 13.0, 16.0, 13.0, 15.0, 9.0, 0.0, 0.0, 1.0, 12.0, 12.0, 12.0, 12.0, 1.0, 0.0], [0.0, 0.0, 0.0, 6.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 16.0, 6.0, 0.0, 0.0, 0.0, 3.0, 16.0, 16.0, 16.0, 4.0, 0.0, 0.0, 0.0, 5.0, 16.0, 16.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 13.0, 11.0, 2.0, 0.0], [0.0, 0.0, 6.0, 15.0, 8.0, 10.0, 12.0, 2.0, 0.0, 0.0, 10.0, 14.0, 10.0, 12.0, 16.0, 1.0, 0.0, 0.0, 9.0, 10.0, 1.0, 13.0, 7.0, 0.0, 0.0, 0.0, 4.0, 4.0, 8.0, 12.0, 1.0, 0.0, 0.0, 0.0, 0.0, 2.0, 15.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 14.0, 0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 0.0, 7.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 15.0, 6.0, 0.0, 0.0, 0.0, 0.0, 1.0, 15.0, 5.0, 14.0, 3.0, 0.0, 0.0, 0.0, 12.0, 8.0, 4.0, 16.0, 0.0, 0.0, 0.0, 5.0, 16.0, 9.0, 10.0, 16.0, 4.0, 0.0, 0.0, 1.0, 11.0, 12.0, 14.0, 14.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 7.0, 0.0, 0.0], [0.0, 0.0, 0.0, 9.0, 14.0, 2.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 16.0, 16.0, 8.0, 0.0, 0.0, 0.0, 4.0, 16.0, 14.0, 8.0, 15.0, 3.0, 0.0, 0.0, 1.0, 15.0, 6.0, 0.0, 11.0, 11.0, 0.0, 0.0, 0.0, 10.0, 15.0, 7.0, 12.0, 16.0, 0.0, 0.0, 0.0, 1.0, 9.0, 15.0, 15.0, 10.0, 0.0], [0.0, 0.0, 6.0, 15.0, 11.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 13.0, 16.0, 0.0, 0.0, 0.0, 0.0, 2.0, 7.0, 13.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 15.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 11.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 7.0, 0.0, 0.0, 0.0, 16.0, 11.0, 10.0, 16.0, 7.0, 0.0, 0.0, 0.0, 5.0, 16.0, 15.0, 9.0, 0.0, 0.0], [0.0, 0.0, 0.0, 0.0, 12.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 16.0, 0.0, 0.0, 0.0, 0.0, 1.0, 13.0, 16.0, 11.0, 0.0, 0.0, 0.0, 3.0, 15.0, 16.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 3.0, 7.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 15.0, 5.0, 0.0], [0.0, 0.0, 9.0, 10.0, 2.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 7.0, 7.0, 4.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 14.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 14.0, 7.0, 0.0, 0.0, 0.0, 11.0, 10.0, 4.0, 11.0, 12.0, 0.0, 0.0, 0.0, 8.0, 14.0, 16.0, 15.0, 6.0, 0.0], [0.0, 0.0, 4.0, 10.0, 13.0, 3.0, 0.0, 0.0, 0.0, 4.0, 16.0, 13.0, 16.0, 8.0, 0.0, 0.0, 0.0, 5.0, 15.0, 0.0, 14.0, 11.0, 0.0, 0.0, 0.0, 3.0, 15.0, 15.0, 16.0, 16.0, 1.0, 0.0, 0.0, 0.0, 5.0, 9.0, 8.0, 14.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 8.0, 0.0, 0.0, 0.0, 9.0, 15.0, 10.0, 14.0, 7.0, 0.0, 0.0, 0.0, 4.0, 12.0, 14.0, 11.0, 2.0, 0.0], [0.0, 0.0, 0.0, 7.0, 16.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 14.0, 16.0, 16.0, 4.0, 0.0, 0.0, 2.0, 13.0, 16.0, 16.0, 12.0, 0.0, 0.0, 0.0, 7.0, 16.0, 16.0, 16.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 12.0, 2.0, 0.0], [0.0, 0.0, 4.0, 6.0, 11.0, 14.0, 6.0, 0.0, 0.0, 4.0, 16.0, 16.0, 12.0, 16.0, 7.0, 0.0, 0.0, 6.0, 16.0, 2.0, 1.0, 16.0, 3.0, 0.0, 0.0, 5.0, 16.0, 0.0, 5.0, 14.0, 0.0, 0.0, 0.0, 0.0, 2.0, 0.0, 11.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 15.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 12.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 6.0, 14.0, 8.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 12.0, 8.0, 0.0, 0.0, 0.0, 3.0, 16.0, 14.0, 3.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 16.0, 16.0, 11.0, 1.0, 0.0, 0.0, 8.0, 16.0, 13.0, 4.0, 14.0, 5.0, 0.0, 0.0, 2.0, 16.0, 9.0, 0.0, 8.0, 12.0, 0.0, 0.0, 0.0, 10.0, 15.0, 6.0, 13.0, 9.0, 0.0, 0.0, 0.0, 0.0, 8.0, 14.0, 16.0, 9.0, 0.0], [0.0, 0.0, 4.0, 6.0, 11.0, 5.0, 0.0, 0.0, 0.0, 2.0, 14.0, 7.0, 2.0, 15.0, 0.0, 0.0, 0.0, 4.0, 8.0, 0.0, 0.0, 10.0, 2.0, 0.0, 0.0, 0.0, 14.0, 8.0, 8.0, 13.0, 1.0, 0.0, 0.0, 0.0, 15.0, 10.0, 16.0, 7.0, 0.0, 0.0, 0.0, 1.0, 10.0, 0.0, 1.0, 10.0, 4.0, 0.0, 0.0, 0.0, 12.0, 2.0, 0.0, 6.0, 8.0, 0.0, 0.0, 0.0, 6.0, 10.0, 11.0, 7.0, 1.0, 0.0], [0.0, 0.0, 0.0, 5.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 14.0, 14.0, 2.0, 0.0, 0.0, 0.0, 0.0, 6.0, 14.0, 11.0, 12.0, 0.0, 0.0, 0.0, 3.0, 15.0, 3.0, 11.0, 10.0, 0.0, 0.0, 0.0, 8.0, 11.0, 0.0, 13.0, 10.0, 2.0, 0.0, 0.0, 10.0, 16.0, 16.0, 16.0, 15.0, 3.0, 0.0, 0.0, 0.0, 4.0, 10.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 9.0, 0.0, 0.0, 0.0], [0.0, 2.0, 13.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 12.0, 12.0, 12.0, 15.0, 0.0, 0.0, 0.0, 0.0, 5.0, 2.0, 7.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 15.0, 15.0, 7.0, 0.0, 0.0, 0.0, 0.0, 4.0, 12.0, 12.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 7.0, 0.0, 0.0, 3.0, 16.0, 8.0, 9.0, 16.0, 6.0, 0.0, 0.0, 1.0, 11.0, 12.0, 14.0, 9.0, 0.0, 0.0], [0.0, 0.0, 0.0, 7.0, 16.0, 12.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 16.0, 12.0, 0.0, 0.0, 0.0, 3.0, 16.0, 16.0, 16.0, 8.0, 0.0, 0.0, 0.0, 7.0, 16.0, 16.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 6.0, 15.0, 15.0, 2.0, 0.0], [0.0, 0.0, 0.0, 7.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 15.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 8.0, 13.0, 15.0, 6.0, 0.0, 0.0, 0.0, 3.0, 16.0, 3.0, 12.0, 7.0, 1.0, 0.0, 0.0, 4.0, 14.0, 9.0, 15.0, 16.0, 8.0, 0.0, 0.0, 4.0, 12.0, 12.0, 16.0, 10.0, 2.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 14.0, 0.0, 0.0, 0.0], [0.0, 0.0, 3.0, 11.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 14.0, 16.0, 2.0, 0.0, 0.0, 0.0, 3.0, 15.0, 1.0, 11.0, 11.0, 0.0, 0.0, 0.0, 4.0, 12.0, 0.0, 2.0, 16.0, 2.0, 0.0, 0.0, 7.0, 12.0, 0.0, 0.0, 12.0, 8.0, 0.0, 0.0, 4.0, 14.0, 0.0, 1.0, 15.0, 8.0, 0.0, 0.0, 2.0, 15.0, 14.0, 15.0, 15.0, 1.0, 0.0, 0.0, 0.0, 5.0, 13.0, 14.0, 5.0, 0.0, 0.0], [0.0, 2.0, 16.0, 12.0, 12.0, 14.0, 7.0, 0.0, 0.0, 3.0, 16.0, 9.0, 8.0, 8.0, 4.0, 0.0, 0.0, 2.0, 16.0, 10.0, 4.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 13.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 3.0, 0.0, 12.0, 10.0, 0.0, 0.0, 0.0, 6.0, 3.0, 0.0, 9.0, 11.0, 0.0, 0.0, 0.0, 11.0, 11.0, 9.0, 16.0, 3.0, 0.0, 0.0, 0.0, 3.0, 12.0, 15.0, 7.0, 0.0, 0.0, 0.0], [0.0, 0.0, 6.0, 14.0, 10.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 14.0, 16.0, 0.0, 0.0, 0.0, 0.0, 5.0, 10.0, 11.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 7.0, 0.0, 0.0, 4.0, 6.0, 0.0, 3.0, 16.0, 8.0, 0.0, 0.0, 5.0, 15.0, 9.0, 16.0, 13.0, 1.0, 0.0, 0.0, 0.0, 9.0, 15.0, 8.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 6.0, 14.0, 1.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 14.0, 1.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 12.0, 10.0, 3.0, 0.0, 0.0, 0.0, 5.0, 16.0, 15.0, 14.0, 16.0, 1.0, 0.0, 0.0, 3.0, 16.0, 12.0, 0.0, 15.0, 8.0, 0.0, 0.0, 0.0, 11.0, 16.0, 9.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 11.0, 15.0, 11.0, 1.0, 0.0], [0.0, 0.0, 6.0, 12.0, 11.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 14.0, 14.0, 11.0, 0.0, 0.0, 0.0, 8.0, 15.0, 1.0, 8.0, 16.0, 0.0, 0.0, 0.0, 3.0, 15.0, 5.0, 11.0, 16.0, 5.0, 0.0, 0.0, 0.0, 11.0, 16.0, 15.0, 14.0, 8.0, 0.0, 0.0, 0.0, 4.0, 2.0, 3.0, 6.0, 12.0, 0.0, 0.0, 2.0, 16.0, 13.0, 10.0, 14.0, 12.0, 0.0, 0.0, 0.0, 8.0, 12.0, 13.0, 13.0, 5.0, 0.0], [0.0, 0.0, 0.0, 11.0, 16.0, 12.0, 1.0, 0.0, 0.0, 0.0, 5.0, 16.0, 10.0, 16.0, 4.0, 0.0, 0.0, 2.0, 15.0, 10.0, 0.0, 8.0, 1.0, 0.0, 0.0, 5.0, 16.0, 9.0, 1.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 10.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 1.0, 8.0, 13.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 4.0, 14.0, 14.0, 4.0, 0.0, 0.0, 0.0, 1.0, 15.0, 16.0, 16.0, 2.0, 0.0, 0.0, 2.0, 13.0, 16.0, 16.0, 16.0, 0.0, 0.0, 0.0, 8.0, 16.0, 16.0, 16.0, 16.0, 0.0, 0.0, 0.0, 2.0, 7.0, 8.0, 16.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 15.0, 4.0, 0.0], [0.0, 0.0, 2.0, 13.0, 16.0, 16.0, 16.0, 12.0, 0.0, 0.0, 9.0, 15.0, 8.0, 9.0, 16.0, 7.0, 0.0, 0.0, 10.0, 10.0, 0.0, 6.0, 14.0, 1.0, 0.0, 1.0, 16.0, 5.0, 1.0, 16.0, 4.0, 0.0, 0.0, 0.0, 4.0, 0.0, 9.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 15.0, 4.0, 0.0, 0.0, 0.0], [0.0, 1.0, 8.0, 8.0, 11.0, 15.0, 10.0, 0.0, 0.0, 4.0, 16.0, 16.0, 11.0, 12.0, 6.0, 0.0, 0.0, 4.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 15.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 10.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 12.0, 0.0, 0.0, 0.0, 6.0, 15.0, 9.0, 13.0, 10.0, 0.0, 0.0, 0.0, 1.0, 13.0, 16.0, 13.0, 4.0, 0.0, 0.0], [0.0, 0.0, 0.0, 2.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 12.0, 15.0, 0.0, 0.0, 0.0, 2.0, 13.0, 8.0, 9.0, 14.0, 0.0, 0.0, 0.0, 9.0, 16.0, 16.0, 16.0, 16.0, 6.0, 0.0, 0.0, 2.0, 4.0, 5.0, 14.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 8.0, 0.0, 0.0], [0.0, 0.0, 0.0, 2.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 15.0, 8.0, 11.0, 0.0, 0.0, 0.0, 0.0, 12.0, 7.0, 12.0, 8.0, 0.0, 0.0, 0.0, 5.0, 16.0, 12.0, 15.0, 14.0, 5.0, 0.0, 0.0, 8.0, 13.0, 9.0, 16.0, 13.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 6.0, 0.0, 0.0], [0.0, 0.0, 2.0, 5.0, 5.0, 11.0, 15.0, 5.0, 0.0, 0.0, 12.0, 16.0, 14.0, 13.0, 16.0, 3.0, 0.0, 1.0, 14.0, 9.0, 0.0, 6.0, 11.0, 0.0, 0.0, 0.0, 16.0, 5.0, 1.0, 13.0, 4.0, 0.0, 0.0, 0.0, 1.0, 0.0, 7.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 12.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 5.0, 0.0, 0.0, 0.0], [0.0, 1.0, 11.0, 13.0, 2.0, 0.0, 0.0, 0.0, 0.0, 8.0, 15.0, 15.0, 6.0, 0.0, 0.0, 0.0, 0.0, 10.0, 9.0, 6.0, 14.0, 0.0, 0.0, 0.0, 0.0, 3.0, 10.0, 4.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 15.0, 3.0, 0.0, 0.0, 0.0, 0.0, 2.0, 13.0, 16.0, 13.0, 11.0, 2.0, 0.0, 0.0, 1.0, 12.0, 12.0, 12.0, 15.0, 11.0, 0.0], [0.0, 0.0, 3.0, 10.0, 14.0, 3.0, 0.0, 0.0, 0.0, 8.0, 16.0, 11.0, 10.0, 13.0, 0.0, 0.0, 0.0, 7.0, 14.0, 0.0, 1.0, 15.0, 2.0, 0.0, 0.0, 2.0, 16.0, 9.0, 16.0, 16.0, 1.0, 0.0, 0.0, 0.0, 12.0, 16.0, 15.0, 15.0, 2.0, 0.0, 0.0, 0.0, 12.0, 10.0, 0.0, 8.0, 8.0, 0.0, 0.0, 0.0, 9.0, 12.0, 4.0, 7.0, 12.0, 0.0, 0.0, 0.0, 2.0, 11.0, 16.0, 16.0, 9.0, 0.0], [0.0, 1.0, 11.0, 12.0, 1.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 12.0, 9.0, 0.0, 0.0, 0.0, 0.0, 7.0, 8.0, 7.0, 12.0, 0.0, 0.0, 0.0, 0.0, 1.0, 1.0, 4.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 9.0, 0.0, 0.0, 0.0, 0.0, 1.0, 14.0, 16.0, 16.0, 15.0, 10.0, 0.0, 0.0, 0.0, 13.0, 11.0, 8.0, 12.0, 8.0, 0.0], [0.0, 0.0, 0.0, 3.0, 15.0, 13.0, 1.0, 0.0, 0.0, 0.0, 2.0, 15.0, 16.0, 16.0, 2.0, 0.0, 0.0, 0.0, 13.0, 10.0, 5.0, 15.0, 0.0, 0.0, 0.0, 0.0, 6.0, 2.0, 11.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 14.0, 2.0, 0.0, 0.0, 0.0, 3.0, 8.0, 16.0, 8.0, 0.0, 0.0, 0.0, 3.0, 16.0, 16.0, 16.0, 16.0, 8.0, 0.0, 0.0, 1.0, 4.0, 4.0, 5.0, 13.0, 6.0, 0.0, 0.0], [0.0, 0.0, 11.0, 15.0, 15.0, 16.0, 9.0, 0.0, 0.0, 4.0, 16.0, 14.0, 8.0, 9.0, 3.0, 0.0, 0.0, 4.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 15.0, 3.0, 0.0, 0.0, 0.0, 0.0, 3.0, 11.0, 11.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 0.0, 0.0, 0.0, 0.0, 2.0, 12.0, 9.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 8.0, 0.0, 0.0, 0.0], [0.0, 0.0, 2.0, 8.0, 8.0, 8.0, 12.0, 2.0, 0.0, 0.0, 12.0, 16.0, 14.0, 14.0, 15.0, 1.0, 0.0, 0.0, 14.0, 9.0, 0.0, 12.0, 6.0, 0.0, 0.0, 0.0, 10.0, 2.0, 8.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 14.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 15.0, 0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 3.0, 10.0, 14.0, 3.0, 0.0, 0.0, 0.0, 4.0, 16.0, 13.0, 15.0, 11.0, 0.0, 0.0, 0.0, 8.0, 13.0, 1.0, 13.0, 16.0, 2.0, 0.0, 0.0, 6.0, 16.0, 14.0, 14.0, 14.0, 6.0, 0.0, 0.0, 0.0, 5.0, 7.0, 1.0, 11.0, 8.0, 0.0, 0.0, 1.0, 8.0, 1.0, 0.0, 8.0, 8.0, 0.0, 0.0, 2.0, 16.0, 11.0, 8.0, 14.0, 7.0, 0.0, 0.0, 0.0, 5.0, 12.0, 14.0, 9.0, 1.0, 0.0], [0.0, 0.0, 3.0, 8.0, 11.0, 13.0, 14.0, 0.0, 0.0, 2.0, 13.0, 16.0, 13.0, 13.0, 13.0, 0.0, 0.0, 1.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 11.0, 10.0, 1.0, 0.0, 0.0, 0.0, 3.0, 16.0, 14.0, 14.0, 10.0, 0.0, 0.0, 0.0, 0.0, 8.0, 3.0, 9.0, 11.0, 0.0, 0.0, 0.0, 0.0, 7.0, 15.0, 14.0, 11.0, 0.0, 0.0, 0.0, 0.0, 2.0, 12.0, 13.0, 2.0, 0.0, 0.0], [0.0, 0.0, 0.0, 0.0, 13.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 13.0, 4.0, 0.0, 0.0, 0.0, 0.0, 6.0, 14.0, 4.0, 16.0, 1.0, 0.0, 0.0, 2.0, 14.0, 3.0, 6.0, 14.0, 0.0, 0.0, 0.0, 6.0, 16.0, 11.0, 12.0, 12.0, 0.0, 0.0, 0.0, 2.0, 7.0, 14.0, 16.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 3.0, 0.0, 0.0], [0.0, 0.0, 6.0, 10.0, 9.0, 4.0, 0.0, 0.0, 0.0, 0.0, 14.0, 10.0, 16.0, 16.0, 1.0, 0.0, 0.0, 4.0, 15.0, 1.0, 9.0, 16.0, 0.0, 0.0, 0.0, 3.0, 16.0, 16.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 12.0, 14.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 12.0, 1.0, 9.0, 12.0, 0.0, 0.0, 0.0, 0.0, 16.0, 6.0, 14.0, 9.0, 0.0, 0.0, 0.0, 0.0, 8.0, 12.0, 6.0, 1.0, 0.0, 0.0], [0.0, 0.0, 5.0, 15.0, 15.0, 7.0, 0.0, 0.0, 0.0, 2.0, 16.0, 11.0, 16.0, 16.0, 8.0, 0.0, 0.0, 2.0, 16.0, 5.0, 4.0, 16.0, 8.0, 0.0, 0.0, 1.0, 12.0, 16.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 15.0, 9.0, 14.0, 10.0, 0.0, 0.0, 0.0, 0.0, 14.0, 12.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 5.0, 14.0, 12.0, 1.0, 0.0, 0.0], [0.0, 0.0, 0.0, 5.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 9.0, 12.0, 16.0, 5.0, 0.0, 0.0, 0.0, 2.0, 16.0, 4.0, 16.0, 7.0, 0.0, 0.0, 0.0, 9.0, 16.0, 14.0, 16.0, 16.0, 3.0, 0.0, 0.0, 3.0, 8.0, 11.0, 16.0, 8.0, 1.0, 0.0, 0.0, 0.0, 0.0, 5.0, 13.0, 0.0, 0.0, 0.0], [0.0, 0.0, 2.0, 10.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 14.0, 9.0, 6.0, 16.0, 16.0, 0.0, 0.0, 0.0, 16.0, 6.0, 5.0, 14.0, 11.0, 0.0, 0.0, 0.0, 5.0, 14.0, 14.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 3.0, 0.0, 0.0, 0.0, 3.0, 1.0, 4.0, 16.0, 3.0, 0.0, 0.0, 2.0, 15.0, 13.0, 11.0, 13.0, 1.0, 0.0, 0.0, 0.0, 3.0, 12.0, 13.0, 4.0, 0.0, 0.0], [0.0, 0.0, 2.0, 12.0, 14.0, 4.0, 0.0, 0.0, 0.0, 0.0, 15.0, 12.0, 11.0, 13.0, 0.0, 0.0, 0.0, 4.0, 16.0, 4.0, 1.0, 14.0, 6.0, 0.0, 0.0, 4.0, 12.0, 0.0, 0.0, 8.0, 8.0, 0.0, 0.0, 6.0, 9.0, 0.0, 0.0, 5.0, 8.0, 0.0, 0.0, 3.0, 12.0, 1.0, 0.0, 12.0, 8.0, 0.0, 0.0, 0.0, 8.0, 12.0, 9.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 10.0, 13.0, 3.0, 0.0, 0.0], [0.0, 0.0, 5.0, 13.0, 13.0, 8.0, 0.0, 0.0, 0.0, 0.0, 16.0, 11.0, 13.0, 16.0, 6.0, 0.0, 0.0, 1.0, 16.0, 5.0, 2.0, 14.0, 9.0, 0.0, 0.0, 0.0, 9.0, 16.0, 16.0, 15.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 14.0, 14.0, 0.0, 0.0, 0.0, 5.0, 15.0, 4.0, 0.0, 16.0, 6.0, 0.0, 0.0, 6.0, 14.0, 7.0, 6.0, 16.0, 4.0, 0.0, 0.0, 0.0, 7.0, 15.0, 16.0, 10.0, 0.0, 0.0], [0.0, 0.0, 5.0, 13.0, 15.0, 6.0, 0.0, 0.0, 0.0, 2.0, 16.0, 9.0, 16.0, 13.0, 0.0, 0.0, 0.0, 4.0, 14.0, 0.0, 10.0, 16.0, 2.0, 0.0, 0.0, 4.0, 15.0, 11.0, 15.0, 16.0, 1.0, 0.0, 0.0, 0.0, 7.0, 10.0, 3.0, 13.0, 8.0, 0.0, 0.0, 0.0, 3.0, 0.0, 0.0, 12.0, 5.0, 0.0, 0.0, 0.0, 13.0, 11.0, 4.0, 16.0, 4.0, 0.0, 0.0, 0.0, 7.0, 14.0, 16.0, 11.0, 1.0, 0.0], [0.0, 0.0, 8.0, 11.0, 8.0, 10.0, 0.0, 0.0, 0.0, 3.0, 15.0, 8.0, 12.0, 16.0, 4.0, 0.0, 0.0, 3.0, 12.0, 0.0, 3.0, 16.0, 2.0, 0.0, 0.0, 0.0, 11.0, 10.0, 15.0, 10.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 7.0, 9.0, 4.0, 16.0, 0.0, 0.0, 0.0, 0.0, 12.0, 11.0, 5.0, 16.0, 0.0, 0.0, 0.0, 0.0, 3.0, 10.0, 9.0, 3.0, 0.0, 0.0], [0.0, 0.0, 6.0, 15.0, 13.0, 2.0, 0.0, 0.0, 0.0, 1.0, 15.0, 10.0, 11.0, 14.0, 0.0, 0.0, 0.0, 2.0, 16.0, 3.0, 1.0, 16.0, 4.0, 0.0, 0.0, 4.0, 12.0, 0.0, 1.0, 14.0, 4.0, 0.0, 0.0, 4.0, 10.0, 0.0, 0.0, 15.0, 3.0, 0.0, 0.0, 4.0, 12.0, 0.0, 0.0, 15.0, 3.0, 0.0, 0.0, 1.0, 13.0, 9.0, 11.0, 16.0, 2.0, 0.0, 0.0, 0.0, 4.0, 12.0, 14.0, 5.0, 0.0, 0.0], [0.0, 0.0, 7.0, 14.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 15.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 13.0, 13.0, 0.0, 0.0, 0.0, 0.0, 6.0, 12.0, 14.0, 16.0, 12.0, 5.0, 0.0, 0.0, 5.0, 16.0, 16.0, 16.0, 16.0, 15.0], [0.0, 0.0, 2.0, 13.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 14.0, 11.0, 9.0, 0.0, 0.0, 0.0, 0.0, 15.0, 7.0, 6.0, 12.0, 0.0, 0.0, 0.0, 0.0, 8.0, 5.0, 9.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 14.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 12.0, 12.0, 4.0, 4.0, 1.0, 0.0, 0.0, 1.0, 15.0, 16.0, 16.0, 16.0, 7.0], [0.0, 0.0, 1.0, 9.0, 15.0, 5.0, 0.0, 0.0, 0.0, 0.0, 14.0, 11.0, 5.0, 11.0, 0.0, 0.0, 0.0, 4.0, 15.0, 1.0, 4.0, 14.0, 0.0, 0.0, 0.0, 0.0, 6.0, 1.0, 13.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 13.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 10.0, 0.0, 0.0, 0.0, 12.0, 9.0, 4.0, 4.0, 15.0, 0.0, 0.0, 0.0, 1.0, 10.0, 16.0, 15.0, 11.0, 1.0], [0.0, 0.0, 1.0, 14.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 14.0, 0.0, 3.0, 0.0, 0.0, 0.0, 1.0, 16.0, 4.0, 10.0, 12.0, 0.0, 0.0, 0.0, 7.0, 14.0, 2.0, 15.0, 5.0, 0.0, 0.0, 0.0, 13.0, 14.0, 11.0, 16.0, 16.0, 9.0, 0.0, 0.0, 8.0, 16.0, 16.0, 14.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 5.0, 0.0, 0.0, 0.0], [0.0, 0.0, 9.0, 14.0, 16.0, 13.0, 2.0, 0.0, 0.0, 0.0, 13.0, 8.0, 2.0, 6.0, 4.0, 0.0, 0.0, 0.0, 16.0, 2.0, 9.0, 8.0, 0.0, 0.0, 0.0, 3.0, 15.0, 15.0, 11.0, 14.0, 4.0, 0.0, 0.0, 5.0, 16.0, 6.0, 0.0, 12.0, 2.0, 0.0, 0.0, 5.0, 7.0, 0.0, 3.0, 13.0, 0.0, 0.0, 0.0, 0.0, 5.0, 7.0, 13.0, 6.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 9.0, 0.0, 0.0, 0.0], [0.0, 0.0, 1.0, 14.0, 15.0, 4.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 10.0, 5.0, 0.0, 0.0, 0.0, 1.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 12.0, 5.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 16.0, 16.0, 8.0, 0.0, 0.0, 0.0, 1.0, 15.0, 7.0, 4.0, 16.0, 4.0, 0.0, 0.0, 0.0, 11.0, 13.0, 4.0, 16.0, 9.0, 0.0, 0.0, 0.0, 1.0, 12.0, 16.0, 16.0, 9.0, 0.0], [0.0, 0.0, 9.0, 15.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 13.0, 9.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 2.0, 6.0, 16.0, 16.0, 12.0, 0.0, 0.0, 0.0, 14.0, 16.0, 14.0, 8.0, 7.0, 0.0, 0.0, 0.0, 3.0, 14.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 11.0, 0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 5.0, 15.0, 13.0, 2.0, 0.0, 0.0, 0.0, 0.0, 12.0, 7.0, 11.0, 6.0, 0.0, 0.0, 0.0, 0.0, 9.0, 12.0, 15.0, 1.0, 0.0, 0.0, 0.0, 1.0, 8.0, 16.0, 4.0, 0.0, 0.0, 0.0, 3.0, 15.0, 8.0, 13.0, 0.0, 0.0, 0.0, 0.0, 7.0, 12.0, 0.0, 10.0, 7.0, 0.0, 0.0, 0.0, 0.0, 12.0, 11.0, 10.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 13.0, 10.0, 0.0, 0.0], [0.0, 0.0, 3.0, 11.0, 15.0, 8.0, 0.0, 0.0, 0.0, 3.0, 14.0, 10.0, 5.0, 15.0, 2.0, 0.0, 0.0, 8.0, 10.0, 0.0, 3.0, 16.0, 4.0, 0.0, 0.0, 8.0, 9.0, 1.0, 10.0, 16.0, 7.0, 0.0, 0.0, 1.0, 15.0, 16.0, 9.0, 9.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 8.0, 0.0, 0.0, 0.0, 4.0, 6.0, 5.0, 13.0, 7.0, 0.0, 0.0, 0.0, 3.0, 16.0, 15.0, 8.0, 1.0, 0.0], [0.0, 0.0, 0.0, 9.0, 14.0, 6.0, 0.0, 0.0, 0.0, 0.0, 10.0, 13.0, 4.0, 13.0, 2.0, 0.0, 0.0, 2.0, 14.0, 0.0, 0.0, 10.0, 6.0, 0.0, 0.0, 4.0, 9.0, 0.0, 0.0, 6.0, 8.0, 0.0, 0.0, 5.0, 8.0, 0.0, 0.0, 8.0, 7.0, 0.0, 0.0, 2.0, 11.0, 1.0, 0.0, 9.0, 5.0, 0.0, 0.0, 0.0, 6.0, 11.0, 4.0, 13.0, 3.0, 0.0, 0.0, 0.0, 1.0, 11.0, 16.0, 12.0, 0.0, 0.0], [0.0, 0.0, 6.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 15.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 10.0, 14.0, 12.0, 5.0, 1.0, 0.0, 0.0, 6.0, 16.0, 16.0, 16.0, 16.0, 12.0], [0.0, 0.0, 5.0, 16.0, 14.0, 2.0, 0.0, 0.0, 0.0, 1.0, 13.0, 14.0, 16.0, 8.0, 0.0, 0.0, 0.0, 9.0, 15.0, 3.0, 16.0, 5.0, 0.0, 0.0, 0.0, 10.0, 13.0, 3.0, 16.0, 3.0, 0.0, 0.0, 0.0, 3.0, 3.0, 11.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 16.0, 16.0, 10.0, 0.0, 0.0, 0.0, 6.0, 16.0, 14.0, 12.0, 9.0, 0.0], [0.0, 0.0, 3.0, 10.0, 15.0, 6.0, 0.0, 0.0, 0.0, 4.0, 16.0, 9.0, 4.0, 16.0, 2.0, 0.0, 0.0, 8.0, 14.0, 0.0, 9.0, 10.0, 0.0, 0.0, 0.0, 1.0, 4.0, 7.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 15.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 14.0, 1.0, 0.0, 0.0, 0.0, 12.0, 8.0, 1.0, 11.0, 7.0, 0.0, 0.0, 0.0, 6.0, 8.0, 16.0, 15.0, 5.0, 0.0], [0.0, 0.0, 3.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 13.0, 2.0, 5.0, 0.0, 0.0, 0.0, 2.0, 16.0, 6.0, 10.0, 15.0, 1.0, 0.0, 0.0, 9.0, 15.0, 3.0, 16.0, 11.0, 7.0, 0.0, 0.0, 12.0, 16.0, 16.0, 15.0, 11.0, 5.0, 0.0, 0.0, 3.0, 9.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 14.0, 0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 13.0, 13.0, 13.0, 12.0, 4.0, 0.0, 0.0, 1.0, 16.0, 5.0, 5.0, 9.0, 4.0, 0.0, 0.0, 4.0, 13.0, 0.0, 2.0, 1.0, 0.0, 0.0, 0.0, 5.0, 14.0, 11.0, 16.0, 13.0, 2.0, 0.0, 0.0, 5.0, 15.0, 6.0, 0.0, 9.0, 8.0, 0.0, 0.0, 0.0, 3.0, 0.0, 0.0, 10.0, 8.0, 0.0, 0.0, 3.0, 14.0, 5.0, 7.0, 15.0, 1.0, 0.0, 0.0, 1.0, 9.0, 14.0, 15.0, 4.0, 0.0, 0.0], [0.0, 0.0, 0.0, 11.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 14.0, 0.0, 3.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 16.0, 13.0, 12.0, 1.0, 0.0, 0.0, 2.0, 15.0, 3.0, 0.0, 8.0, 7.0, 0.0, 0.0, 0.0, 8.0, 8.0, 0.0, 10.0, 7.0, 0.0, 0.0, 0.0, 1.0, 11.0, 12.0, 15.0, 4.0, 0.0], [0.0, 0.0, 5.0, 11.0, 16.0, 16.0, 5.0, 0.0, 0.0, 3.0, 15.0, 11.0, 10.0, 16.0, 4.0, 0.0, 0.0, 0.0, 4.0, 0.0, 10.0, 14.0, 0.0, 0.0, 0.0, 0.0, 7.0, 15.0, 16.0, 16.0, 12.0, 0.0, 0.0, 0.0, 9.0, 16.0, 14.0, 4.0, 1.0, 0.0, 0.0, 0.0, 1.0, 14.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 9.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 4.0, 15.0, 6.0, 15.0, 0.0, 0.0, 0.0, 0.0, 8.0, 11.0, 9.0, 11.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 14.0, 2.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 13.0, 0.0, 0.0, 0.0, 0.0, 6.0, 14.0, 2.0, 12.0, 9.0, 0.0, 0.0, 0.0, 5.0, 16.0, 11.0, 5.0, 13.0, 4.0, 0.0, 0.0, 0.0, 3.0, 8.0, 13.0, 16.0, 9.0, 0.0], [0.0, 0.0, 1.0, 12.0, 16.0, 14.0, 2.0, 0.0, 0.0, 0.0, 13.0, 11.0, 3.0, 16.0, 5.0, 0.0, 0.0, 4.0, 14.0, 0.0, 0.0, 15.0, 6.0, 0.0, 0.0, 6.0, 12.0, 8.0, 13.0, 16.0, 5.0, 0.0, 0.0, 0.0, 9.0, 12.0, 4.0, 10.0, 8.0, 0.0, 0.0, 0.0, 3.0, 0.0, 0.0, 11.0, 5.0, 0.0, 0.0, 0.0, 16.0, 14.0, 5.0, 15.0, 4.0, 0.0, 0.0, 0.0, 3.0, 12.0, 16.0, 11.0, 1.0, 0.0], [0.0, 0.0, 5.0, 15.0, 12.0, 4.0, 0.0, 0.0, 0.0, 2.0, 15.0, 8.0, 11.0, 16.0, 4.0, 0.0, 0.0, 8.0, 9.0, 0.0, 6.0, 16.0, 4.0, 0.0, 0.0, 8.0, 8.0, 0.0, 2.0, 10.0, 8.0, 0.0, 0.0, 8.0, 7.0, 0.0, 0.0, 13.0, 5.0, 0.0, 0.0, 2.0, 14.0, 0.0, 0.0, 16.0, 2.0, 0.0, 0.0, 0.0, 14.0, 8.0, 11.0, 10.0, 0.0, 0.0, 0.0, 0.0, 4.0, 13.0, 14.0, 0.0, 0.0, 0.0], [0.0, 0.0, 8.0, 14.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 12.0, 12.0, 16.0, 16.0, 12.0, 4.0, 0.0, 0.0, 7.0, 16.0, 16.0, 16.0, 12.0, 5.0], [0.0, 0.0, 3.0, 13.0, 15.0, 1.0, 0.0, 0.0, 0.0, 4.0, 15.0, 14.0, 15.0, 10.0, 0.0, 0.0, 0.0, 13.0, 13.0, 2.0, 13.0, 9.0, 0.0, 0.0, 0.0, 14.0, 10.0, 0.0, 15.0, 9.0, 0.0, 0.0, 0.0, 1.0, 1.0, 2.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0, 2.0, 15.0, 16.0, 16.0, 16.0, 6.0, 0.0, 0.0, 2.0, 15.0, 16.0, 10.0, 12.0, 4.0], [0.0, 0.0, 2.0, 11.0, 12.0, 1.0, 0.0, 0.0, 0.0, 2.0, 14.0, 9.0, 9.0, 8.0, 0.0, 0.0, 0.0, 10.0, 12.0, 0.0, 13.0, 6.0, 0.0, 0.0, 0.0, 6.0, 5.0, 2.0, 13.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 10.0, 9.0, 1.0, 0.0, 0.0, 0.0, 6.0, 7.0, 0.0, 12.0, 6.0, 0.0, 0.0, 0.0, 1.0, 12.0, 16.0, 16.0, 5.0, 0.0], [0.0, 0.0, 0.0, 11.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 10.0, 4.0, 10.0, 0.0, 0.0, 0.0, 6.0, 15.0, 2.0, 15.0, 8.0, 0.0, 0.0, 0.0, 10.0, 12.0, 4.0, 16.0, 7.0, 6.0, 0.0, 0.0, 10.0, 16.0, 15.0, 16.0, 14.0, 6.0, 0.0, 0.0, 3.0, 8.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 11.0, 0.0, 0.0, 0.0], [0.0, 1.0, 13.0, 14.0, 16.0, 15.0, 7.0, 0.0, 0.0, 4.0, 15.0, 3.0, 3.0, 4.0, 1.0, 0.0, 0.0, 4.0, 13.0, 5.0, 8.0, 5.0, 0.0, 0.0, 0.0, 6.0, 16.0, 12.0, 8.0, 14.0, 2.0, 0.0, 0.0, 0.0, 4.0, 0.0, 0.0, 12.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 14.0, 2.0, 0.0, 0.0, 2.0, 12.0, 3.0, 11.0, 9.0, 0.0, 0.0, 0.0, 1.0, 11.0, 16.0, 13.0, 1.0, 0.0, 0.0], [0.0, 0.0, 2.0, 15.0, 15.0, 3.0, 0.0, 0.0, 0.0, 0.0, 13.0, 15.0, 8.0, 3.0, 0.0, 0.0, 0.0, 5.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 15.0, 5.0, 4.0, 2.0, 0.0, 0.0, 0.0, 8.0, 16.0, 16.0, 16.0, 14.0, 2.0, 0.0, 0.0, 4.0, 16.0, 7.0, 1.0, 13.0, 8.0, 0.0, 0.0, 0.0, 11.0, 12.0, 1.0, 11.0, 13.0, 0.0, 0.0, 0.0, 1.0, 12.0, 16.0, 16.0, 10.0, 0.0], [0.0, 0.0, 4.0, 16.0, 16.0, 16.0, 12.0, 0.0, 0.0, 0.0, 4.0, 12.0, 11.0, 14.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 9.0, 0.0, 0.0, 0.0, 2.0, 8.0, 10.0, 16.0, 9.0, 0.0, 0.0, 0.0, 7.0, 13.0, 16.0, 14.0, 5.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 9.0, 0.0, 0.0, 0.0], [0.0, 0.0, 2.0, 13.0, 14.0, 6.0, 0.0, 0.0, 0.0, 0.0, 10.0, 13.0, 5.0, 16.0, 0.0, 0.0, 0.0, 0.0, 9.0, 9.0, 4.0, 14.0, 0.0, 0.0, 0.0, 0.0, 4.0, 15.0, 15.0, 5.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 14.0, 1.0, 0.0, 0.0, 0.0, 0.0, 14.0, 6.0, 8.0, 9.0, 0.0, 0.0, 0.0, 0.0, 13.0, 7.0, 1.0, 11.0, 5.0, 0.0, 0.0, 0.0, 3.0, 11.0, 15.0, 16.0, 12.0, 0.0], [0.0, 0.0, 8.0, 12.0, 13.0, 1.0, 0.0, 0.0, 0.0, 5.0, 12.0, 2.0, 6.0, 13.0, 0.0, 0.0, 0.0, 11.0, 5.0, 0.0, 6.0, 12.0, 0.0, 0.0, 0.0, 7.0, 10.0, 4.0, 13.0, 15.0, 0.0, 0.0, 0.0, 1.0, 11.0, 12.0, 7.0, 12.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 9.0, 0.0, 0.0, 0.0, 10.0, 5.0, 0.0, 3.0, 13.0, 0.0, 0.0, 0.0, 6.0, 12.0, 16.0, 13.0, 10.0, 0.0], [0.0, 0.0, 4.0, 15.0, 14.0, 4.0, 0.0, 0.0, 0.0, 1.0, 14.0, 8.0, 10.0, 13.0, 1.0, 0.0, 0.0, 5.0, 13.0, 0.0, 0.0, 16.0, 3.0, 0.0, 0.0, 6.0, 12.0, 0.0, 0.0, 13.0, 3.0, 0.0, 0.0, 7.0, 12.0, 0.0, 0.0, 14.0, 3.0, 0.0, 0.0, 1.0, 16.0, 0.0, 0.0, 14.0, 3.0, 0.0, 0.0, 0.0, 10.0, 11.0, 12.0, 14.0, 0.0, 0.0, 0.0, 0.0, 1.0, 11.0, 12.0, 3.0, 0.0, 0.0], [0.0, 0.0, 2.0, 10.0, 16.0, 11.0, 1.0, 0.0, 0.0, 0.0, 13.0, 13.0, 10.0, 16.0, 8.0, 0.0, 0.0, 4.0, 14.0, 1.0, 8.0, 14.0, 1.0, 0.0, 0.0, 4.0, 15.0, 12.0, 15.0, 8.0, 0.0, 0.0, 0.0, 0.0, 6.0, 7.0, 14.0, 5.0, 0.0, 0.0, 0.0, 1.0, 2.0, 0.0, 12.0, 5.0, 0.0, 0.0, 0.0, 8.0, 15.0, 6.0, 13.0, 4.0, 0.0, 0.0, 0.0, 0.0, 5.0, 11.0, 16.0, 3.0, 0.0, 0.0], [0.0, 0.0, 13.0, 16.0, 16.0, 16.0, 13.0, 0.0, 0.0, 4.0, 16.0, 9.0, 8.0, 5.0, 4.0, 0.0, 0.0, 9.0, 15.0, 7.0, 8.0, 2.0, 0.0, 0.0, 0.0, 11.0, 16.0, 16.0, 14.0, 15.0, 1.0, 0.0, 0.0, 1.0, 3.0, 0.0, 4.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 14.0, 0.0, 0.0, 0.0, 0.0, 11.0, 8.0, 16.0, 6.0, 0.0, 0.0, 0.0, 1.0, 15.0, 16.0, 10.0, 0.0, 0.0, 0.0], [0.0, 0.0, 9.0, 8.0, 12.0, 13.0, 1.0, 0.0, 0.0, 3.0, 15.0, 8.0, 5.0, 4.0, 0.0, 0.0, 0.0, 6.0, 9.0, 2.0, 6.0, 2.0, 0.0, 0.0, 0.0, 6.0, 16.0, 14.0, 9.0, 13.0, 4.0, 0.0, 0.0, 2.0, 7.0, 0.0, 0.0, 7.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 10.0, 0.0, 0.0, 0.0, 8.0, 5.0, 6.0, 14.0, 3.0, 0.0, 0.0, 0.0, 10.0, 14.0, 15.0, 5.0, 0.0, 0.0], [0.0, 0.0, 2.0, 13.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 6.0, 2.0, 0.0, 0.0, 0.0, 2.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 9.0, 1.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 16.0, 13.0, 2.0, 0.0, 0.0, 0.0, 1.0, 16.0, 6.0, 8.0, 14.0, 0.0, 0.0, 0.0, 0.0, 11.0, 10.0, 1.0, 16.0, 5.0, 0.0, 0.0, 0.0, 3.0, 15.0, 16.0, 16.0, 3.0, 0.0], [0.0, 0.0, 8.0, 12.0, 16.0, 16.0, 4.0, 0.0, 0.0, 0.0, 15.0, 6.0, 10.0, 5.0, 0.0, 0.0, 0.0, 4.0, 12.0, 2.0, 8.0, 6.0, 0.0, 0.0, 0.0, 8.0, 14.0, 14.0, 8.0, 13.0, 5.0, 0.0, 0.0, 3.0, 7.0, 0.0, 0.0, 8.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 2.0, 0.0, 0.0, 0.0, 5.0, 2.0, 5.0, 12.0, 0.0, 0.0, 0.0, 0.0, 7.0, 15.0, 15.0, 2.0, 0.0, 0.0], [0.0, 0.0, 2.0, 11.0, 13.0, 5.0, 0.0, 0.0, 0.0, 1.0, 14.0, 9.0, 8.0, 14.0, 0.0, 0.0, 0.0, 6.0, 13.0, 1.0, 2.0, 16.0, 2.0, 0.0, 0.0, 7.0, 7.0, 0.0, 0.0, 12.0, 5.0, 0.0, 0.0, 7.0, 9.0, 0.0, 0.0, 3.0, 9.0, 0.0, 0.0, 2.0, 12.0, 0.0, 0.0, 4.0, 11.0, 0.0, 0.0, 0.0, 12.0, 6.0, 4.0, 14.0, 7.0, 0.0, 0.0, 0.0, 3.0, 13.0, 16.0, 9.0, 0.0, 0.0], [0.0, 0.0, 3.0, 10.0, 15.0, 14.0, 4.0, 0.0, 0.0, 2.0, 14.0, 7.0, 9.0, 16.0, 8.0, 0.0, 0.0, 7.0, 12.0, 3.0, 14.0, 16.0, 0.0, 0.0, 0.0, 2.0, 14.0, 16.0, 13.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 0.0, 0.0, 0.0, 1.0, 3.0, 0.0, 0.0, 14.0, 0.0, 0.0, 0.0, 5.0, 15.0, 8.0, 2.0, 16.0, 0.0, 0.0, 0.0, 0.0, 4.0, 11.0, 16.0, 15.0, 0.0, 0.0], [0.0, 0.0, 0.0, 6.0, 15.0, 11.0, 2.0, 0.0, 0.0, 0.0, 6.0, 13.0, 4.0, 13.0, 5.0, 0.0, 0.0, 0.0, 7.0, 11.0, 0.0, 13.0, 3.0, 0.0, 0.0, 0.0, 2.0, 15.0, 13.0, 7.0, 0.0, 0.0, 0.0, 3.0, 13.0, 12.0, 16.0, 2.0, 0.0, 0.0, 0.0, 8.0, 15.0, 1.0, 9.0, 8.0, 0.0, 0.0, 0.0, 0.0, 7.0, 14.0, 8.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 5.0, 12.0, 16.0, 2.0, 0.0], [0.0, 0.0, 2.0, 10.0, 14.0, 10.0, 0.0, 0.0, 0.0, 1.0, 15.0, 9.0, 9.0, 16.0, 1.0, 0.0, 0.0, 7.0, 9.0, 0.0, 9.0, 12.0, 0.0, 0.0, 0.0, 7.0, 7.0, 3.0, 15.0, 15.0, 0.0, 0.0, 0.0, 2.0, 15.0, 15.0, 7.0, 16.0, 1.0, 0.0, 0.0, 0.0, 1.0, 2.0, 0.0, 9.0, 4.0, 0.0, 0.0, 0.0, 5.0, 13.0, 4.0, 8.0, 9.0, 0.0, 0.0, 0.0, 1.0, 10.0, 15.0, 16.0, 6.0, 0.0], [0.0, 0.0, 0.0, 9.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 3.0, 15.0, 5.0, 16.0, 0.0, 0.0, 0.0, 0.0, 7.0, 12.0, 7.0, 12.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 14.0, 1.0, 0.0, 0.0, 0.0, 3.0, 16.0, 8.0, 9.0, 11.0, 0.0, 0.0, 0.0, 0.0, 12.0, 13.0, 4.0, 12.0, 8.0, 0.0, 0.0, 0.0, 0.0, 8.0, 14.0, 16.0, 14.0, 0.0], [0.0, 0.0, 0.0, 9.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 14.0, 3.0, 2.0, 0.0, 0.0, 0.0, 0.0, 15.0, 2.0, 1.0, 14.0, 3.0, 0.0, 0.0, 5.0, 13.0, 0.0, 13.0, 8.0, 1.0, 0.0, 0.0, 8.0, 13.0, 3.0, 16.0, 14.0, 6.0, 0.0, 0.0, 6.0, 15.0, 16.0, 13.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 7.0, 0.0, 0.0, 0.0], [0.0, 0.0, 5.0, 14.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 3.0, 8.0, 15.0, 13.0, 11.0, 8.0, 0.0, 0.0, 5.0, 16.0, 16.0, 16.0, 16.0, 10.0], [0.0, 0.0, 4.0, 10.0, 15.0, 16.0, 4.0, 0.0, 0.0, 0.0, 13.0, 14.0, 9.0, 16.0, 3.0, 0.0, 0.0, 0.0, 2.0, 1.0, 5.0, 15.0, 0.0, 0.0, 0.0, 0.0, 3.0, 4.0, 13.0, 14.0, 2.0, 0.0, 0.0, 5.0, 16.0, 16.0, 16.0, 16.0, 8.0, 0.0, 0.0, 4.0, 9.0, 12.0, 14.0, 1.0, 0.0, 0.0, 0.0, 0.0, 5.0, 15.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 4.0, 0.0, 0.0, 0.0], [0.0, 0.0, 3.0, 15.0, 16.0, 16.0, 6.0, 0.0, 0.0, 0.0, 3.0, 14.0, 7.0, 15.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 14.0, 0.0, 0.0, 0.0, 0.0, 2.0, 9.0, 15.0, 16.0, 14.0, 0.0, 0.0, 0.0, 7.0, 16.0, 14.0, 6.0, 2.0, 0.0, 0.0, 0.0, 0.0, 8.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 12.0, 0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 1.0, 10.0, 15.0, 10.0, 0.0, 0.0, 0.0, 1.0, 13.0, 11.0, 8.0, 12.0, 0.0, 0.0, 0.0, 2.0, 9.0, 0.0, 13.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 10.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 9.0, 10.0, 0.0, 0.0, 0.0, 13.0, 7.0, 0.0, 2.0, 16.0, 0.0, 0.0, 0.0, 2.0, 11.0, 15.0, 16.0, 12.0, 0.0], [0.0, 0.0, 11.0, 13.0, 12.0, 12.0, 3.0, 0.0, 0.0, 5.0, 14.0, 4.0, 4.0, 7.0, 2.0, 0.0, 0.0, 7.0, 10.0, 1.0, 4.0, 1.0, 0.0, 0.0, 0.0, 8.0, 15.0, 14.0, 12.0, 15.0, 2.0, 0.0, 0.0, 2.0, 7.0, 0.0, 0.0, 12.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 3.0, 0.0, 0.0, 1.0, 8.0, 3.0, 10.0, 12.0, 0.0, 0.0, 0.0, 1.0, 12.0, 16.0, 12.0, 2.0, 0.0, 0.0], [0.0, 0.0, 2.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 16.0, 14.0, 2.0, 0.0, 0.0, 0.0, 0.0, 7.0, 8.0, 14.0, 10.0, 0.0, 0.0, 0.0, 0.0, 12.0, 15.0, 14.0, 16.0, 14.0, 9.0, 0.0, 0.0, 2.0, 10.0, 13.0, 16.0, 10.0, 3.0], [0.0, 0.0, 1.0, 15.0, 11.0, 1.0, 0.0, 0.0, 0.0, 0.0, 9.0, 12.0, 8.0, 12.0, 0.0, 0.0, 0.0, 1.0, 15.0, 1.0, 6.0, 16.0, 2.0, 0.0, 0.0, 2.0, 12.0, 0.0, 1.0, 11.0, 6.0, 0.0, 0.0, 5.0, 10.0, 0.0, 0.0, 11.0, 4.0, 0.0, 0.0, 2.0, 13.0, 0.0, 0.0, 10.0, 3.0, 0.0, 0.0, 0.0, 13.0, 2.0, 3.0, 13.0, 3.0, 0.0, 0.0, 0.0, 1.0, 13.0, 16.0, 15.0, 1.0, 0.0], [0.0, 0.0, 5.0, 16.0, 15.0, 4.0, 0.0, 0.0, 0.0, 3.0, 15.0, 13.0, 13.0, 12.0, 0.0, 0.0, 0.0, 7.0, 14.0, 1.0, 0.0, 16.0, 5.0, 0.0, 0.0, 12.0, 9.0, 0.0, 1.0, 11.0, 10.0, 0.0, 0.0, 10.0, 10.0, 0.0, 0.0, 7.0, 13.0, 0.0, 0.0, 6.0, 15.0, 0.0, 0.0, 8.0, 12.0, 0.0, 0.0, 1.0, 14.0, 7.0, 6.0, 15.0, 11.0, 0.0, 0.0, 0.0, 5.0, 15.0, 16.0, 14.0, 3.0, 0.0], [0.0, 0.0, 3.0, 11.0, 13.0, 1.0, 0.0, 0.0, 0.0, 6.0, 16.0, 11.0, 13.0, 6.0, 0.0, 0.0, 1.0, 16.0, 8.0, 0.0, 11.0, 4.0, 0.0, 0.0, 0.0, 4.0, 4.0, 0.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 9.0, 4.0, 5.0, 0.0, 0.0, 0.0, 1.0, 14.0, 13.0, 12.0, 15.0, 5.0], [0.0, 0.0, 2.0, 14.0, 8.0, 0.0, 0.0, 0.0, 0.0, 3.0, 14.0, 10.0, 16.0, 1.0, 0.0, 0.0, 0.0, 11.0, 8.0, 2.0, 15.0, 0.0, 0.0, 0.0, 0.0, 9.0, 8.0, 1.0, 13.0, 0.0, 0.0, 0.0, 0.0, 1.0, 3.0, 6.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 9.0, 4.0, 7.0, 3.0, 0.0, 0.0, 1.0, 14.0, 16.0, 16.0, 13.0, 8.0], [0.0, 0.0, 9.0, 14.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 10.0, 6.0, 12.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 13.0, 5.0, 0.0, 0.0, 2.0, 12.0, 15.0, 16.0, 15.0, 14.0, 0.0, 0.0, 2.0, 12.0, 16.0, 7.0, 0.0, 1.0, 0.0, 0.0, 0.0, 3.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 11.0, 0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 6.0, 14.0, 4.0, 0.0, 0.0, 0.0, 0.0, 4.0, 13.0, 2.0, 12.0, 0.0, 0.0, 0.0, 0.0, 8.0, 6.0, 0.0, 12.0, 0.0, 0.0, 0.0, 0.0, 2.0, 12.0, 6.0, 14.0, 0.0, 0.0, 0.0, 0.0, 1.0, 12.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 13.0, 11.0, 6.0, 11.0, 0.0, 0.0, 0.0, 0.0, 9.0, 11.0, 2.0, 7.0, 8.0, 0.0, 0.0, 0.0, 0.0, 5.0, 10.0, 15.0, 13.0, 0.0], [0.0, 0.0, 7.0, 13.0, 14.0, 1.0, 0.0, 0.0, 0.0, 7.0, 15.0, 9.0, 13.0, 7.0, 0.0, 0.0, 0.0, 5.0, 15.0, 3.0, 8.0, 8.0, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 12.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 15.0, 5.0, 4.0, 4.0, 0.0, 0.0, 0.0, 6.0, 16.0, 16.0, 13.0, 16.0, 6.0], [0.0, 0.0, 0.0, 7.0, 13.0, 9.0, 1.0, 0.0, 0.0, 0.0, 7.0, 15.0, 8.0, 15.0, 5.0, 0.0, 0.0, 1.0, 15.0, 2.0, 0.0, 10.0, 8.0, 0.0, 0.0, 4.0, 12.0, 0.0, 0.0, 12.0, 7.0, 0.0, 0.0, 5.0, 9.0, 0.0, 0.0, 14.0, 3.0, 0.0, 0.0, 4.0, 14.0, 0.0, 0.0, 11.0, 0.0, 0.0, 0.0, 1.0, 16.0, 8.0, 8.0, 11.0, 0.0, 0.0, 0.0, 0.0, 2.0, 11.0, 14.0, 5.0, 0.0, 0.0], [0.0, 0.0, 10.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 10.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 12.0, 16.0, 12.0, 12.0, 4.0, 0.0, 0.0, 7.0, 16.0, 16.0, 16.0, 16.0, 11.0], [0.0, 0.0, 3.0, 13.0, 7.0, 0.0, 0.0, 0.0, 0.0, 3.0, 15.0, 8.0, 14.0, 0.0, 0.0, 0.0, 0.0, 10.0, 8.0, 1.0, 14.0, 0.0, 0.0, 0.0, 0.0, 8.0, 11.0, 5.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 12.0, 10.0, 7.0, 5.0, 2.0, 0.0, 0.0, 2.0, 14.0, 14.0, 12.0, 14.0, 7.0], [0.0, 0.0, 3.0, 12.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 13.0, 16.0, 12.0, 4.0, 0.0, 0.0, 0.0, 3.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 13.0, 5.0, 4.0, 0.0, 0.0, 0.0, 0.0, 8.0, 14.0, 3.0, 16.0, 2.0, 0.0, 0.0, 0.0, 4.0, 16.0, 4.0, 13.0, 7.0, 0.0, 0.0, 0.0, 0.0, 11.0, 11.0, 11.0, 14.0, 0.0, 0.0, 0.0, 0.0, 3.0, 12.0, 16.0, 15.0, 0.0, 0.0], [0.0, 0.0, 1.0, 9.0, 16.0, 6.0, 0.0, 0.0, 0.0, 4.0, 14.0, 10.0, 11.0, 10.0, 0.0, 0.0, 0.0, 12.0, 10.0, 0.0, 13.0, 6.0, 0.0, 0.0, 0.0, 6.0, 7.0, 4.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 12.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 10.0, 0.0, 0.0, 0.0, 8.0, 13.0, 3.0, 0.0, 14.0, 3.0, 0.0, 0.0, 0.0, 8.0, 16.0, 16.0, 13.0, 3.0], [0.0, 0.0, 4.0, 12.0, 16.0, 14.0, 7.0, 0.0, 0.0, 2.0, 16.0, 6.0, 0.0, 7.0, 12.0, 0.0, 0.0, 0.0, 7.0, 0.0, 3.0, 13.0, 3.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 12.0, 0.0, 0.0, 0.0, 0.0, 2.0, 0.0, 0.0, 13.0, 5.0, 0.0, 0.0, 3.0, 16.0, 7.0, 1.0, 12.0, 4.0, 0.0, 0.0, 0.0, 3.0, 12.0, 16.0, 15.0, 2.0, 0.0], [0.0, 0.0, 3.0, 8.0, 12.0, 15.0, 16.0, 2.0, 0.0, 0.0, 12.0, 14.0, 10.0, 13.0, 15.0, 0.0, 0.0, 0.0, 1.0, 1.0, 2.0, 14.0, 6.0, 0.0, 0.0, 0.0, 2.0, 8.0, 13.0, 16.0, 8.0, 0.0, 0.0, 0.0, 9.0, 16.0, 16.0, 10.0, 5.0, 0.0, 0.0, 0.0, 1.0, 8.0, 12.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 5.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 6.0, 15.0, 12.0, 1.0, 0.0, 0.0, 4.0, 12.0, 16.0, 12.0, 16.0, 3.0, 0.0, 0.0, 15.0, 16.0, 6.0, 4.0, 16.0, 3.0, 0.0, 0.0, 4.0, 5.0, 1.0, 15.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 10.0, 1.0, 0.0, 0.0, 0.0, 3.0, 2.0, 4.0, 15.0, 7.0, 0.0, 0.0, 0.0, 12.0, 15.0, 8.0, 11.0, 14.0, 0.0, 0.0, 0.0, 1.0, 8.0, 15.0, 16.0, 11.0, 0.0], [0.0, 0.0, 0.0, 7.0, 13.0, 10.0, 0.0, 0.0, 0.0, 0.0, 10.0, 13.0, 5.0, 13.0, 0.0, 0.0, 0.0, 7.0, 12.0, 0.0, 8.0, 8.0, 0.0, 0.0, 0.0, 6.0, 6.0, 3.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 13.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 7.0, 0.0, 0.0, 0.0, 5.0, 9.0, 1.0, 2.0, 12.0, 0.0, 0.0, 0.0, 0.0, 9.0, 15.0, 16.0, 9.0, 0.0], [0.0, 0.0, 0.0, 12.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 7.0, 2.0, 14.0, 1.0, 0.0, 0.0, 6.0, 16.0, 2.0, 9.0, 16.0, 11.0, 0.0, 0.0, 9.0, 14.0, 9.0, 16.0, 15.0, 6.0, 0.0, 0.0, 5.0, 16.0, 16.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 2.0, 11.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 13.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 10.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 11.0, 14.0, 5.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 14.0, 11.0, 3.0, 0.0, 0.0, 0.0, 2.0, 14.0, 0.0, 7.0, 13.0, 0.0, 0.0, 0.0, 0.0, 10.0, 9.0, 1.0, 15.0, 2.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 15.0, 1.0, 0.0], [0.0, 0.0, 0.0, 9.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 12.0, 5.0, 0.0, 0.0, 0.0, 2.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 6.0, 2.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 16.0, 16.0, 7.0, 0.0, 0.0, 0.0, 2.0, 16.0, 7.0, 7.0, 16.0, 4.0, 0.0, 0.0, 0.0, 9.0, 13.0, 3.0, 14.0, 9.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 16.0, 7.0, 0.0], [0.0, 0.0, 0.0, 8.0, 15.0, 10.0, 0.0, 0.0, 0.0, 0.0, 8.0, 13.0, 6.0, 1.0, 0.0, 0.0, 0.0, 1.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 12.0, 12.0, 9.0, 2.0, 0.0, 0.0, 1.0, 15.0, 1.0, 0.0, 9.0, 10.0, 0.0, 0.0, 0.0, 10.0, 9.0, 4.0, 13.0, 3.0, 0.0, 0.0, 0.0, 0.0, 11.0, 15.0, 5.0, 0.0, 0.0], [0.0, 0.0, 3.0, 15.0, 6.0, 0.0, 0.0, 0.0, 0.0, 1.0, 14.0, 13.0, 4.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 5.0, 16.0, 7.0, 0.0, 0.0, 0.0, 8.0, 16.0, 8.0, 16.0, 9.0, 5.0, 0.0, 0.0, 10.0, 16.0, 14.0, 16.0, 16.0, 9.0, 0.0, 0.0, 3.0, 11.0, 16.0, 11.0, 2.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 15.0, 4.0, 0.0, 0.0, 0.0], [0.0, 0.0, 1.0, 8.0, 14.0, 15.0, 5.0, 0.0, 0.0, 1.0, 14.0, 8.0, 1.0, 14.0, 8.0, 0.0, 0.0, 7.0, 12.0, 0.0, 7.0, 16.0, 8.0, 0.0, 0.0, 4.0, 14.0, 12.0, 12.0, 9.0, 8.0, 0.0, 0.0, 0.0, 1.0, 3.0, 0.0, 9.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 6.0, 0.0, 0.0, 0.0, 12.0, 10.0, 4.0, 16.0, 0.0, 0.0, 0.0, 0.0, 2.0, 8.0, 16.0, 7.0, 0.0, 0.0], [0.0, 0.0, 3.0, 15.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 2.0, 12.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 15.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 3.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 6.0, 8.0, 12.0, 15.0, 12.0, 10.0, 0.0, 0.0, 2.0, 13.0, 16.0, 16.0, 15.0, 11.0], [0.0, 1.0, 9.0, 12.0, 13.0, 11.0, 0.0, 0.0, 0.0, 3.0, 15.0, 4.0, 3.0, 3.0, 0.0, 0.0, 0.0, 5.0, 12.0, 7.0, 6.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 14.0, 13.0, 7.0, 0.0, 0.0, 0.0, 1.0, 8.0, 0.0, 2.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 14.0, 0.0, 0.0, 0.0, 0.0, 6.0, 2.0, 10.0, 6.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 13.0, 1.0, 0.0, 0.0], [0.0, 0.0, 0.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 16.0, 11.0, 0.0, 0.0, 0.0, 4.0, 16.0, 11.0, 13.0, 14.0, 0.0, 0.0, 0.0, 7.0, 12.0, 1.0, 3.0, 13.0, 0.0, 0.0, 0.0, 4.0, 10.0, 0.0, 0.0, 16.0, 0.0, 0.0, 0.0, 2.0, 14.0, 0.0, 1.0, 16.0, 1.0, 0.0, 0.0, 0.0, 9.0, 7.0, 9.0, 14.0, 0.0, 0.0, 0.0, 0.0, 1.0, 11.0, 15.0, 3.0, 0.0, 0.0], [0.0, 0.0, 6.0, 11.0, 13.0, 6.0, 0.0, 0.0, 0.0, 7.0, 14.0, 6.0, 7.0, 13.0, 0.0, 0.0, 0.0, 10.0, 7.0, 0.0, 7.0, 10.0, 0.0, 0.0, 0.0, 4.0, 13.0, 12.0, 15.0, 10.0, 0.0, 0.0, 0.0, 0.0, 1.0, 4.0, 0.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 1.0, 0.0, 0.0, 0.0, 8.0, 2.0, 0.0, 12.0, 0.0, 0.0, 0.0, 0.0, 6.0, 14.0, 15.0, 12.0, 0.0, 0.0], [0.0, 0.0, 9.0, 16.0, 16.0, 13.0, 2.0, 0.0, 0.0, 2.0, 15.0, 2.0, 3.0, 3.0, 0.0, 0.0, 0.0, 7.0, 9.0, 0.0, 1.0, 4.0, 0.0, 0.0, 0.0, 8.0, 12.0, 7.0, 13.0, 14.0, 7.0, 0.0, 0.0, 6.0, 16.0, 8.0, 0.0, 5.0, 8.0, 0.0, 0.0, 1.0, 3.0, 0.0, 0.0, 9.0, 6.0, 0.0, 0.0, 0.0, 3.0, 4.0, 1.0, 15.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 12.0, 7.0, 0.0, 0.0], [0.0, 0.0, 7.0, 15.0, 13.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 15.0, 16.0, 5.0, 0.0, 0.0, 0.0, 12.0, 16.0, 5.0, 15.0, 6.0, 0.0, 0.0, 0.0, 0.0, 7.0, 2.0, 13.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 1.0, 15.0, 16.0, 12.0, 15.0, 7.0, 0.0, 0.0, 5.0, 16.0, 14.0, 12.0, 12.0, 11.0], [0.0, 0.0, 0.0, 6.0, 14.0, 10.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 7.0, 13.0, 2.0, 0.0, 0.0, 0.0, 4.0, 16.0, 3.0, 14.0, 1.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 5.0, 14.0, 16.0, 6.0, 0.0, 0.0, 0.0, 3.0, 15.0, 4.0, 1.0, 13.0, 4.0, 0.0, 0.0, 2.0, 14.0, 11.0, 5.0, 5.0, 12.0, 0.0, 0.0, 0.0, 0.0, 6.0, 10.0, 15.0, 15.0, 0.0], [0.0, 0.0, 9.0, 15.0, 13.0, 0.0, 0.0, 0.0, 0.0, 5.0, 14.0, 7.0, 13.0, 2.0, 0.0, 0.0, 0.0, 12.0, 10.0, 1.0, 13.0, 0.0, 0.0, 0.0, 0.0, 4.0, 7.0, 6.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 11.0, 0.0, 6.0, 5.0, 0.0, 0.0, 0.0, 11.0, 16.0, 16.0, 16.0, 16.0, 3.0], [0.0, 0.0, 2.0, 11.0, 15.0, 2.0, 0.0, 0.0, 0.0, 0.0, 12.0, 6.0, 11.0, 9.0, 0.0, 0.0, 0.0, 4.0, 11.0, 0.0, 7.0, 16.0, 0.0, 0.0, 0.0, 5.0, 6.0, 0.0, 1.0, 16.0, 6.0, 0.0, 0.0, 5.0, 4.0, 0.0, 0.0, 10.0, 7.0, 0.0, 0.0, 0.0, 10.0, 0.0, 0.0, 10.0, 5.0, 0.0, 0.0, 0.0, 13.0, 2.0, 6.0, 12.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 12.0, 1.0, 0.0, 0.0], [0.0, 0.0, 1.0, 12.0, 14.0, 3.0, 0.0, 0.0, 0.0, 1.0, 13.0, 11.0, 9.0, 13.0, 0.0, 0.0, 0.0, 7.0, 11.0, 0.0, 1.0, 16.0, 4.0, 0.0, 0.0, 8.0, 6.0, 0.0, 2.0, 15.0, 0.0, 0.0, 0.0, 4.0, 12.0, 0.0, 0.0, 15.0, 0.0, 0.0, 0.0, 0.0, 15.0, 1.0, 1.0, 15.0, 0.0, 0.0, 0.0, 0.0, 7.0, 10.0, 7.0, 13.0, 0.0, 0.0, 0.0, 0.0, 1.0, 13.0, 16.0, 7.0, 0.0, 0.0], [0.0, 0.0, 5.0, 13.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 11.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0, 10.0, 13.0, 16.0, 15.0, 16.0, 9.0, 0.0, 0.0, 3.0, 12.0, 16.0, 16.0, 11.0, 2.0], [0.0, 0.0, 6.0, 14.0, 16.0, 13.0, 0.0, 0.0, 0.0, 0.0, 9.0, 9.0, 9.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 9.0, 0.0, 0.0, 0.0, 0.0, 2.0, 10.0, 16.0, 16.0, 12.0, 0.0, 0.0, 0.0, 13.0, 16.0, 12.0, 7.0, 3.0, 0.0, 0.0, 0.0, 3.0, 14.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 13.0, 0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 6.0, 13.0, 8.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 8.0, 4.0, 0.0, 0.0, 0.0, 3.0, 15.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 12.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 13.0, 13.0, 3.0, 0.0, 0.0, 0.0, 2.0, 15.0, 2.0, 5.0, 14.0, 0.0, 0.0, 0.0, 0.0, 9.0, 10.0, 2.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 15.0, 12.0, 0.0, 0.0], [0.0, 0.0, 1.0, 7.0, 12.0, 3.0, 0.0, 0.0, 0.0, 4.0, 16.0, 12.0, 12.0, 10.0, 0.0, 0.0, 0.0, 14.0, 9.0, 0.0, 11.0, 8.0, 0.0, 0.0, 0.0, 7.0, 5.0, 0.0, 15.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 14.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 13.0, 9.0, 0.0, 0.0, 0.0, 5.0, 10.0, 4.0, 0.0, 14.0, 5.0, 0.0, 0.0, 1.0, 9.0, 15.0, 16.0, 16.0, 8.0], [0.0, 0.0, 10.0, 15.0, 2.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 12.0, 13.0, 12.0, 9.0, 0.0, 0.0, 0.0, 0.0, 8.0, 9.0, 13.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 14.0, 4.0, 5.0, 8.0, 3.0, 0.0, 0.0, 8.0, 16.0, 16.0, 16.0, 16.0, 9.0], [0.0, 0.0, 6.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 16.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 15.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 1.0, 2.0, 15.0, 8.0, 0.0, 0.0, 0.0, 0.0, 6.0, 9.0, 14.0, 15.0, 13.0, 7.0, 0.0, 0.0, 5.0, 15.0, 16.0, 16.0, 15.0, 3.0], [0.0, 0.0, 4.0, 13.0, 14.0, 16.0, 3.0, 0.0, 0.0, 0.0, 6.0, 11.0, 10.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 14.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 16.0, 16.0, 12.0, 0.0, 0.0, 0.0, 15.0, 13.0, 16.0, 7.0, 2.0, 0.0, 0.0, 0.0, 0.0, 8.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 14.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 13.0, 1.0, 0.0, 0.0, 0.0], [0.0, 0.0, 2.0, 15.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 14.0, 0.0, 5.0, 0.0, 0.0, 0.0, 0.0, 13.0, 9.0, 9.0, 16.0, 3.0, 0.0, 0.0, 6.0, 15.0, 6.0, 16.0, 3.0, 0.0, 0.0, 0.0, 9.0, 13.0, 12.0, 15.0, 12.0, 8.0, 0.0, 0.0, 9.0, 16.0, 16.0, 14.0, 7.0, 2.0, 0.0, 0.0, 1.0, 7.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 7.0, 0.0, 0.0, 0.0], [0.0, 0.0, 2.0, 13.0, 16.0, 8.0, 0.0, 0.0, 0.0, 1.0, 13.0, 16.0, 10.0, 7.0, 0.0, 0.0, 0.0, 5.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 16.0, 13.0, 1.0, 0.0, 0.0, 0.0, 5.0, 16.0, 6.0, 14.0, 9.0, 0.0, 0.0, 0.0, 0.0, 13.0, 12.0, 14.0, 15.0, 0.0, 0.0, 0.0, 0.0, 3.0, 12.0, 16.0, 11.0, 0.0, 0.0], [0.0, 0.0, 0.0, 6.0, 13.0, 7.0, 0.0, 0.0, 0.0, 0.0, 10.0, 13.0, 6.0, 15.0, 0.0, 0.0, 0.0, 0.0, 12.0, 8.0, 4.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 15.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 15.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 5.0, 15.0, 2.0, 0.0, 0.0, 0.0, 14.0, 10.0, 2.0, 5.0, 11.0, 0.0, 0.0, 0.0, 2.0, 7.0, 13.0, 15.0, 8.0, 0.0], [0.0, 0.0, 2.0, 15.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 15.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 10.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 16.0, 15.0, 9.0, 16.0, 5.0, 0.0, 0.0, 3.0, 15.0, 16.0, 15.0, 7.0, 1.0], [0.0, 0.0, 0.0, 6.0, 15.0, 6.0, 0.0, 0.0, 0.0, 1.0, 11.0, 13.0, 8.0, 11.0, 0.0, 0.0, 0.0, 9.0, 13.0, 0.0, 9.0, 10.0, 0.0, 0.0, 0.0, 8.0, 9.0, 3.0, 15.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 14.0, 3.0, 0.0, 0.0, 0.0, 0.0, 3.0, 0.0, 5.0, 13.0, 2.0, 0.0, 0.0, 0.0, 9.0, 12.0, 5.0, 10.0, 7.0, 0.0, 0.0, 0.0, 0.0, 6.0, 12.0, 15.0, 5.0, 0.0], [0.0, 0.0, 5.0, 11.0, 13.0, 6.0, 0.0, 0.0, 0.0, 4.0, 15.0, 8.0, 7.0, 16.0, 3.0, 0.0, 0.0, 8.0, 7.0, 0.0, 4.0, 16.0, 1.0, 0.0, 0.0, 4.0, 11.0, 1.0, 10.0, 16.0, 4.0, 0.0, 0.0, 2.0, 15.0, 15.0, 8.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 6.0, 0.0, 0.0, 1.0, 16.0, 9.0, 0.0, 12.0, 5.0, 0.0, 0.0, 0.0, 4.0, 11.0, 16.0, 16.0, 2.0, 0.0], [0.0, 0.0, 4.0, 15.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 15.0, 10.0, 0.0, 0.0, 0.0, 0.0, 4.0, 12.0, 14.0, 16.0, 13.0, 13.0, 0.0, 0.0, 2.0, 13.0, 16.0, 16.0, 15.0, 8.0], [0.0, 0.0, 4.0, 15.0, 16.0, 12.0, 0.0, 0.0, 0.0, 0.0, 6.0, 9.0, 12.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 9.0, 0.0, 0.0, 0.0, 0.0, 2.0, 4.0, 15.0, 10.0, 4.0, 0.0, 0.0, 2.0, 15.0, 16.0, 16.0, 15.0, 7.0, 0.0, 0.0, 0.0, 8.0, 13.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 13.0, 0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 11.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 11.0, 2.0, 0.0, 0.0, 0.0, 3.0, 16.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 12.0, 4.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 13.0, 15.0, 11.0, 0.0, 0.0, 0.0, 1.0, 15.0, 8.0, 3.0, 16.0, 5.0, 0.0, 0.0, 0.0, 9.0, 14.0, 5.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 16.0, 10.0, 0.0], [0.0, 0.0, 0.0, 7.0, 13.0, 8.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 8.0, 15.0, 0.0, 0.0, 0.0, 0.0, 4.0, 12.0, 8.0, 11.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 16.0, 2.0, 0.0, 0.0, 0.0, 2.0, 16.0, 7.0, 9.0, 11.0, 0.0, 0.0, 0.0, 0.0, 9.0, 12.0, 1.0, 14.0, 6.0, 0.0, 0.0, 0.0, 0.0, 6.0, 15.0, 15.0, 12.0, 0.0], [0.0, 0.0, 1.0, 14.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 13.0, 3.0, 7.0, 1.0, 0.0, 0.0, 1.0, 16.0, 6.0, 5.0, 16.0, 3.0, 0.0, 0.0, 7.0, 13.0, 0.0, 14.0, 11.0, 3.0, 0.0, 0.0, 12.0, 13.0, 5.0, 16.0, 16.0, 9.0, 0.0, 0.0, 13.0, 16.0, 16.0, 15.0, 6.0, 0.0, 0.0, 0.0, 0.0, 3.0, 12.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 10.0, 0.0, 0.0, 0.0], [0.0, 0.0, 3.0, 11.0, 15.0, 8.0, 0.0, 0.0, 0.0, 4.0, 14.0, 8.0, 13.0, 14.0, 0.0, 0.0, 0.0, 8.0, 11.0, 3.0, 15.0, 6.0, 0.0, 0.0, 0.0, 1.0, 1.0, 9.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 13.0, 7.0, 0.0, 0.0, 0.0, 9.0, 8.0, 2.0, 6.0, 11.0, 0.0, 0.0, 0.0, 4.0, 10.0, 14.0, 16.0, 10.0, 0.0], [0.0, 0.0, 5.0, 16.0, 14.0, 8.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 14.0, 16.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 14.0, 16.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 16.0, 14.0, 3.0, 0.0, 0.0, 0.0, 6.0, 16.0, 16.0, 16.0, 3.0, 0.0], [0.0, 0.0, 0.0, 15.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 15.0, 2.0, 13.0, 5.0, 0.0, 0.0, 0.0, 13.0, 9.0, 2.0, 15.0, 2.0, 0.0, 0.0, 4.0, 14.0, 1.0, 10.0, 12.0, 2.0, 0.0, 0.0, 10.0, 14.0, 8.0, 16.0, 16.0, 10.0, 0.0, 0.0, 10.0, 16.0, 16.0, 15.0, 5.0, 0.0, 0.0, 0.0, 0.0, 2.0, 12.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 5.0, 0.0, 0.0, 0.0], [0.0, 0.0, 4.0, 13.0, 14.0, 8.0, 0.0, 0.0, 0.0, 3.0, 14.0, 3.0, 1.0, 16.0, 3.0, 0.0, 0.0, 7.0, 9.0, 0.0, 0.0, 14.0, 6.0, 0.0, 0.0, 8.0, 4.0, 0.0, 0.0, 16.0, 4.0, 0.0, 0.0, 8.0, 6.0, 0.0, 0.0, 16.0, 0.0, 0.0, 0.0, 3.0, 11.0, 0.0, 1.0, 14.0, 0.0, 0.0, 0.0, 0.0, 12.0, 4.0, 6.0, 11.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 14.0, 1.0, 0.0, 0.0], [0.0, 0.0, 8.0, 12.0, 14.0, 12.0, 3.0, 0.0, 0.0, 0.0, 12.0, 5.0, 0.0, 3.0, 0.0, 0.0, 0.0, 0.0, 16.0, 2.0, 4.0, 1.0, 0.0, 0.0, 0.0, 4.0, 16.0, 14.0, 12.0, 15.0, 4.0, 0.0, 0.0, 0.0, 4.0, 0.0, 0.0, 8.0, 8.0, 0.0, 0.0, 1.0, 0.0, 0.0, 0.0, 11.0, 5.0, 0.0, 0.0, 6.0, 14.0, 1.0, 2.0, 15.0, 1.0, 0.0, 0.0, 0.0, 8.0, 14.0, 16.0, 4.0, 0.0, 0.0], [0.0, 0.0, 2.0, 9.0, 13.0, 8.0, 0.0, 0.0, 0.0, 1.0, 14.0, 11.0, 8.0, 14.0, 0.0, 0.0, 0.0, 9.0, 14.0, 0.0, 14.0, 6.0, 0.0, 0.0, 0.0, 0.0, 2.0, 4.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 12.0, 12.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 9.0, 0.0, 0.0, 0.0, 14.0, 13.0, 4.0, 10.0, 11.0, 0.0, 0.0, 0.0, 3.0, 10.0, 14.0, 15.0, 5.0, 0.0], [0.0, 0.0, 0.0, 13.0, 15.0, 4.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 9.0, 4.0, 0.0, 0.0, 0.0, 1.0, 16.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 16.0, 14.0, 4.0, 0.0, 0.0, 0.0, 2.0, 15.0, 9.0, 7.0, 15.0, 5.0, 0.0, 0.0, 0.0, 11.0, 13.0, 4.0, 12.0, 13.0, 0.0, 0.0, 0.0, 1.0, 13.0, 16.0, 16.0, 10.0, 0.0], [0.0, 0.0, 2.0, 11.0, 13.0, 4.0, 0.0, 0.0, 0.0, 1.0, 13.0, 7.0, 8.0, 15.0, 0.0, 0.0, 0.0, 6.0, 11.0, 0.0, 5.0, 13.0, 0.0, 0.0, 0.0, 9.0, 7.0, 2.0, 14.0, 14.0, 0.0, 0.0, 0.0, 3.0, 14.0, 15.0, 8.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 5.0, 0.0, 0.0, 0.0, 11.0, 7.0, 0.0, 10.0, 7.0, 0.0, 0.0, 0.0, 4.0, 10.0, 15.0, 15.0, 3.0, 0.0], [0.0, 0.0, 0.0, 11.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 10.0, 7.0, 0.0, 0.0, 0.0, 3.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 13.0, 4.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 8.0, 16.0, 7.0, 0.0, 0.0, 0.0, 4.0, 16.0, 3.0, 7.0, 16.0, 2.0, 0.0, 0.0, 0.0, 13.0, 13.0, 8.0, 16.0, 5.0, 0.0, 0.0, 0.0, 1.0, 11.0, 16.0, 16.0, 1.0, 0.0], [0.0, 0.0, 0.0, 13.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 1.0, 15.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 5.0, 15.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 15.0, 1.0, 0.0, 0.0, 0.0, 1.0, 11.0, 9.0, 16.0, 11.0, 2.0, 0.0, 0.0, 0.0, 11.0, 16.0, 16.0, 16.0, 16.0], [0.0, 0.0, 4.0, 13.0, 16.0, 14.0, 0.0, 0.0, 0.0, 0.0, 13.0, 10.0, 11.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 11.0, 0.0, 0.0, 0.0, 0.0, 1.0, 6.0, 14.0, 16.0, 8.0, 0.0, 0.0, 0.0, 11.0, 16.0, 15.0, 8.0, 5.0, 0.0, 0.0, 0.0, 2.0, 11.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 14.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 2.0, 0.0, 0.0, 0.0], [0.0, 0.0, 10.0, 12.0, 13.0, 16.0, 2.0, 0.0, 0.0, 4.0, 15.0, 6.0, 4.0, 4.0, 0.0, 0.0, 0.0, 5.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 16.0, 16.0, 9.0, 0.0, 0.0, 0.0, 2.0, 11.0, 3.0, 3.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 13.0, 0.0, 0.0, 0.0, 0.0, 4.0, 1.0, 9.0, 10.0, 0.0, 0.0, 0.0, 0.0, 16.0, 16.0, 13.0, 1.0, 0.0, 0.0], [0.0, 0.0, 0.0, 12.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 3.0, 9.0, 3.0, 0.0, 0.0, 0.0, 14.0, 7.0, 6.0, 16.0, 2.0, 0.0, 0.0, 3.0, 15.0, 2.0, 10.0, 10.0, 0.0, 0.0, 0.0, 10.0, 9.0, 1.0, 16.0, 12.0, 10.0, 0.0, 0.0, 14.0, 11.0, 14.0, 16.0, 11.0, 1.0, 0.0, 0.0, 9.0, 16.0, 15.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 8.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 10.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 5.0, 3.0, 3.0, 0.0, 0.0, 0.0, 15.0, 7.0, 0.0, 13.0, 11.0, 0.0, 0.0, 7.0, 14.0, 1.0, 7.0, 16.0, 8.0, 0.0, 0.0, 9.0, 13.0, 5.0, 15.0, 13.0, 1.0, 0.0, 0.0, 11.0, 16.0, 16.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 4.0, 9.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 15.0, 0.0, 0.0, 0.0], [0.0, 0.0, 10.0, 16.0, 15.0, 0.0, 0.0, 0.0, 0.0, 4.0, 14.0, 8.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 1.0, 4.0, 16.0, 0.0, 2.0, 0.0, 0.0, 0.0, 3.0, 11.0, 16.0, 16.0, 13.0, 0.0, 0.0, 0.0, 12.0, 16.0, 11.0, 7.0, 2.0, 0.0, 0.0, 0.0, 6.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 11.0, 0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 6.0, 15.0, 9.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 14.0, 16.0, 1.0, 0.0, 0.0, 0.0, 14.0, 12.0, 3.0, 16.0, 4.0, 0.0, 0.0, 0.0, 9.0, 11.0, 3.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 2.0, 9.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 12.0, 9.0, 10.0, 3.0, 0.0, 0.0, 8.0, 16.0, 16.0, 16.0, 16.0, 14.0], [0.0, 0.0, 0.0, 7.0, 12.0, 13.0, 1.0, 0.0, 0.0, 0.0, 8.0, 11.0, 1.0, 10.0, 8.0, 0.0, 0.0, 0.0, 12.0, 2.0, 1.0, 11.0, 7.0, 0.0, 0.0, 0.0, 10.0, 10.0, 14.0, 8.0, 0.0, 0.0, 0.0, 1.0, 7.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 7.0, 14.0, 3.0, 0.0, 0.0, 0.0, 0.0, 7.0, 13.0, 5.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 15.0, 14.0, 2.0, 0.0], [0.0, 0.0, 10.0, 16.0, 16.0, 4.0, 0.0, 0.0, 0.0, 9.0, 16.0, 11.0, 14.0, 8.0, 0.0, 0.0, 0.0, 13.0, 8.0, 0.0, 14.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 14.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 16.0, 9.0, 12.0, 6.0, 0.0, 0.0, 1.0, 14.0, 16.0, 16.0, 16.0, 14.0, 0.0], [0.0, 0.0, 1.0, 13.0, 7.0, 0.0, 0.0, 0.0, 0.0, 1.0, 15.0, 9.0, 15.0, 1.0, 0.0, 0.0, 0.0, 9.0, 11.0, 0.0, 16.0, 0.0, 0.0, 0.0, 0.0, 2.0, 10.0, 3.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 10.0, 4.0, 4.0, 2.0, 0.0, 0.0, 1.0, 15.0, 16.0, 15.0, 13.0, 15.0], [0.0, 0.0, 10.0, 10.0, 14.0, 16.0, 14.0, 0.0, 0.0, 0.0, 14.0, 8.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 0.0, 6.0, 11.0, 5.0, 0.0, 0.0, 3.0, 16.0, 14.0, 10.0, 10.0, 9.0, 0.0, 0.0, 3.0, 14.0, 5.0, 0.0, 9.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 13.0, 0.0, 0.0, 0.0, 0.0, 3.0, 9.0, 13.0, 3.0, 0.0, 0.0, 0.0, 0.0, 8.0, 13.0, 1.0, 0.0, 0.0, 0.0], [0.0, 0.0, 5.0, 9.0, 13.0, 16.0, 6.0, 0.0, 0.0, 0.0, 12.0, 12.0, 7.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 3.0, 0.0, 0.0, 0.0, 3.0, 12.0, 15.0, 16.0, 14.0, 0.0, 0.0, 0.0, 7.0, 16.0, 15.0, 5.0, 1.0, 0.0, 0.0, 0.0, 0.0, 10.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 15.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 14.0, 0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 4.0, 13.0, 12.0, 6.0, 0.0, 0.0, 0.0, 4.0, 15.0, 5.0, 10.0, 16.0, 0.0, 0.0, 0.0, 4.0, 16.0, 1.0, 11.0, 16.0, 0.0, 0.0, 0.0, 1.0, 10.0, 16.0, 13.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 4.0, 0.0, 15.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 4.0, 0.0, 0.0, 0.0, 6.0, 6.0, 0.0, 9.0, 8.0, 0.0, 0.0, 0.0, 5.0, 12.0, 15.0, 16.0, 7.0, 0.0], [0.0, 3.0, 12.0, 12.0, 14.0, 15.0, 3.0, 0.0, 0.0, 4.0, 15.0, 4.0, 4.0, 4.0, 0.0, 0.0, 0.0, 5.0, 12.0, 0.0, 0.0, 2.0, 0.0, 0.0, 0.0, 5.0, 15.0, 12.0, 15.0, 15.0, 5.0, 0.0, 0.0, 5.0, 12.0, 6.0, 0.0, 8.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 7.0, 0.0, 0.0, 1.0, 9.0, 0.0, 7.0, 14.0, 1.0, 0.0, 0.0, 2.0, 15.0, 16.0, 14.0, 3.0, 0.0, 0.0], [0.0, 0.0, 3.0, 15.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 12.0, 1.0, 7.0, 0.0, 0.0, 0.0, 2.0, 16.0, 4.0, 9.0, 13.0, 0.0, 0.0, 0.0, 8.0, 11.0, 6.0, 16.0, 1.0, 2.0, 0.0, 0.0, 12.0, 10.0, 12.0, 14.0, 12.0, 11.0, 0.0, 0.0, 11.0, 16.0, 16.0, 14.0, 7.0, 1.0, 0.0, 0.0, 1.0, 7.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 1.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 3.0, 14.0, 13.0, 3.0, 0.0, 0.0, 0.0, 0.0, 12.0, 9.0, 8.0, 8.0, 0.0, 0.0, 0.0, 0.0, 12.0, 8.0, 11.0, 6.0, 0.0, 0.0, 0.0, 0.0, 7.0, 14.0, 11.0, 1.0, 0.0, 0.0, 1.0, 8.0, 12.0, 15.0, 5.0, 0.0, 0.0, 0.0, 6.0, 14.0, 0.0, 4.0, 12.0, 0.0, 0.0, 0.0, 0.0, 7.0, 12.0, 1.0, 15.0, 2.0, 0.0, 0.0, 0.0, 0.0, 3.0, 13.0, 15.0, 2.0, 0.0], [0.0, 0.0, 0.0, 3.0, 12.0, 10.0, 0.0, 0.0, 0.0, 0.0, 1.0, 14.0, 6.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 6.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 3.0, 14.0, 15.0, 3.0, 0.0, 0.0, 0.0, 1.0, 16.0, 4.0, 9.0, 9.0, 0.0, 0.0, 0.0, 0.0, 4.0, 13.0, 4.0, 7.0, 8.0, 0.0, 0.0, 0.0, 0.0, 3.0, 10.0, 11.0, 15.0, 2.0], [0.0, 0.0, 3.0, 15.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 13.0, 1.0, 6.0, 9.0, 0.0, 0.0, 3.0, 16.0, 3.0, 6.0, 15.0, 5.0, 0.0, 0.0, 7.0, 15.0, 1.0, 14.0, 9.0, 5.0, 0.0, 0.0, 10.0, 13.0, 9.0, 16.0, 15.0, 7.0, 0.0, 0.0, 7.0, 16.0, 16.0, 11.0, 4.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 3.0, 0.0, 0.0, 0.0], [0.0, 0.0, 5.0, 14.0, 14.0, 8.0, 2.0, 0.0, 0.0, 3.0, 15.0, 3.0, 0.0, 13.0, 8.0, 0.0, 0.0, 5.0, 12.0, 0.0, 2.0, 15.0, 8.0, 0.0, 0.0, 2.0, 15.0, 9.0, 14.0, 14.0, 8.0, 0.0, 0.0, 0.0, 1.0, 3.0, 0.0, 12.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 4.0, 0.0, 0.0, 6.0, 15.0, 2.0, 0.0, 14.0, 1.0, 0.0, 0.0, 1.0, 7.0, 14.0, 12.0, 9.0, 0.0, 0.0], [0.0, 0.0, 4.0, 14.0, 14.0, 4.0, 0.0, 0.0, 0.0, 0.0, 15.0, 10.0, 10.0, 13.0, 0.0, 0.0, 0.0, 5.0, 15.0, 0.0, 2.0, 15.0, 6.0, 0.0, 0.0, 4.0, 13.0, 0.0, 0.0, 14.0, 8.0, 0.0, 0.0, 6.0, 9.0, 0.0, 0.0, 12.0, 7.0, 0.0, 0.0, 3.0, 14.0, 1.0, 0.0, 12.0, 5.0, 0.0, 0.0, 0.0, 12.0, 9.0, 6.0, 15.0, 2.0, 0.0, 0.0, 0.0, 3.0, 14.0, 14.0, 6.0, 0.0, 0.0], [0.0, 0.0, 0.0, 2.0, 13.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 10.0, 16.0, 0.0, 0.0, 0.0, 0.0, 7.0, 13.0, 8.0, 11.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 16.0, 4.0, 0.0, 0.0, 0.0, 2.0, 14.0, 9.0, 7.0, 13.0, 1.0, 0.0, 0.0, 1.0, 11.0, 8.0, 3.0, 9.0, 8.0, 0.0, 0.0, 0.0, 0.0, 5.0, 10.0, 15.0, 16.0, 0.0], [0.0, 0.0, 3.0, 13.0, 14.0, 4.0, 0.0, 0.0, 0.0, 0.0, 13.0, 12.0, 14.0, 16.0, 0.0, 0.0, 0.0, 1.0, 16.0, 3.0, 14.0, 16.0, 4.0, 0.0, 0.0, 1.0, 14.0, 9.0, 16.0, 16.0, 6.0, 0.0, 0.0, 0.0, 2.0, 8.0, 4.0, 11.0, 9.0, 0.0, 0.0, 0.0, 2.0, 2.0, 0.0, 12.0, 10.0, 0.0, 0.0, 0.0, 14.0, 14.0, 4.0, 11.0, 9.0, 0.0, 0.0, 0.0, 4.0, 8.0, 11.0, 16.0, 9.0, 0.0], [0.0, 0.0, 0.0, 4.0, 12.0, 15.0, 4.0, 0.0, 0.0, 0.0, 3.0, 14.0, 4.0, 10.0, 8.0, 0.0, 0.0, 0.0, 4.0, 12.0, 5.0, 14.0, 2.0, 0.0, 0.0, 0.0, 4.0, 16.0, 14.0, 3.0, 0.0, 0.0, 0.0, 1.0, 12.0, 15.0, 13.0, 0.0, 0.0, 0.0, 0.0, 6.0, 13.0, 1.0, 12.0, 6.0, 0.0, 0.0, 0.0, 0.0, 10.0, 13.0, 5.0, 14.0, 1.0, 0.0, 0.0, 0.0, 0.0, 4.0, 10.0, 16.0, 8.0, 0.0], [0.0, 0.0, 7.0, 16.0, 15.0, 4.0, 0.0, 0.0, 0.0, 0.0, 14.0, 16.0, 9.0, 15.0, 2.0, 0.0, 0.0, 1.0, 15.0, 12.0, 1.0, 9.0, 8.0, 0.0, 0.0, 4.0, 16.0, 0.0, 0.0, 7.0, 10.0, 0.0, 0.0, 7.0, 13.0, 0.0, 0.0, 10.0, 11.0, 0.0, 0.0, 7.0, 12.0, 0.0, 2.0, 15.0, 6.0, 0.0, 0.0, 3.0, 15.0, 12.0, 14.0, 14.0, 1.0, 0.0, 0.0, 0.0, 10.0, 16.0, 14.0, 4.0, 0.0, 0.0], [0.0, 0.0, 5.0, 10.0, 8.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 16.0, 15.0, 2.0, 0.0, 0.0, 0.0, 7.0, 16.0, 16.0, 13.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 11.0, 9.0, 0.0, 0.0, 0.0], [0.0, 2.0, 11.0, 16.0, 15.0, 2.0, 0.0, 0.0, 0.0, 12.0, 16.0, 15.0, 16.0, 4.0, 0.0, 0.0, 0.0, 2.0, 3.0, 2.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 12.0, 3.0, 11.0, 9.0, 0.0, 0.0, 0.0, 16.0, 16.0, 16.0, 16.0, 6.0, 0.0, 0.0, 0.0, 14.0, 15.0, 12.0, 5.0, 0.0, 0.0], [0.0, 0.0, 3.0, 12.0, 16.0, 14.0, 0.0, 0.0, 0.0, 3.0, 15.0, 16.0, 15.0, 14.0, 0.0, 0.0, 0.0, 3.0, 12.0, 1.0, 15.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 2.0, 5.0, 13.0, 8.0, 0.0, 0.0, 0.0, 2.0, 11.0, 11.0, 15.0, 5.0, 0.0, 0.0, 0.0, 3.0, 16.0, 16.0, 9.0, 0.0, 0.0], [0.0, 0.0, 0.0, 0.0, 15.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 8.0, 15.0, 14.0, 4.0, 0.0, 0.0, 0.0, 6.0, 15.0, 2.0, 15.0, 2.0, 1.0, 0.0, 0.0, 9.0, 16.0, 16.0, 16.0, 16.0, 11.0, 0.0, 0.0, 5.0, 10.0, 12.0, 16.0, 8.0, 1.0, 0.0, 0.0, 0.0, 0.0, 1.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 15.0, 0.0, 0.0, 0.0], [0.0, 0.0, 6.0, 13.0, 15.0, 16.0, 11.0, 0.0, 0.0, 0.0, 10.0, 11.0, 8.0, 8.0, 5.0, 0.0, 0.0, 2.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 11.0, 7.0, 8.0, 5.0, 0.0, 0.0, 0.0, 7.0, 16.0, 14.0, 10.0, 14.0, 2.0, 0.0, 0.0, 1.0, 7.0, 1.0, 2.0, 12.0, 3.0, 0.0, 0.0, 0.0, 5.0, 8.0, 14.0, 6.0, 0.0, 0.0, 0.0, 0.0, 8.0, 12.0, 5.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 13.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 13.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 12.0, 6.0, 11.0, 9.0, 3.0, 0.0, 0.0, 1.0, 15.0, 16.0, 12.0, 8.0, 11.0, 0.0, 0.0, 0.0, 9.0, 13.0, 2.0, 6.0, 16.0, 2.0, 0.0, 0.0, 0.0, 11.0, 16.0, 14.0, 7.0, 0.0], [0.0, 0.0, 4.0, 10.0, 16.0, 16.0, 7.0, 0.0, 0.0, 3.0, 16.0, 13.0, 11.0, 16.0, 2.0, 0.0, 0.0, 1.0, 3.0, 0.0, 10.0, 9.0, 0.0, 0.0, 0.0, 0.0, 5.0, 8.0, 14.0, 15.0, 13.0, 0.0, 0.0, 0.0, 15.0, 16.0, 14.0, 12.0, 8.0, 0.0, 0.0, 0.0, 3.0, 12.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 14.0, 1.0, 0.0, 0.0, 0.0], [0.0, 0.0, 4.0, 11.0, 15.0, 2.0, 0.0, 0.0, 0.0, 2.0, 16.0, 9.0, 8.0, 9.0, 0.0, 0.0, 0.0, 4.0, 15.0, 0.0, 5.0, 16.0, 3.0, 0.0, 0.0, 0.0, 11.0, 11.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0, 13.0, 9.0, 6.0, 12.0, 1.0, 0.0, 0.0, 0.0, 15.0, 3.0, 0.0, 9.0, 5.0, 0.0, 0.0, 0.0, 5.0, 13.0, 13.0, 12.0, 5.0, 0.0], [0.0, 0.0, 0.0, 3.0, 13.0, 16.0, 11.0, 0.0, 0.0, 0.0, 4.0, 15.0, 11.0, 8.0, 16.0, 3.0, 0.0, 2.0, 15.0, 9.0, 6.0, 13.0, 15.0, 3.0, 0.0, 4.0, 16.0, 16.0, 16.0, 16.0, 11.0, 0.0, 0.0, 0.0, 7.0, 8.0, 6.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 4.0, 0.0, 0.0], [0.0, 0.0, 7.0, 8.0, 12.0, 6.0, 0.0, 0.0, 0.0, 1.0, 14.0, 11.0, 12.0, 15.0, 0.0, 0.0, 0.0, 3.0, 15.0, 0.0, 0.0, 10.0, 5.0, 0.0, 0.0, 4.0, 9.0, 0.0, 0.0, 8.0, 4.0, 0.0, 0.0, 8.0, 8.0, 0.0, 0.0, 13.0, 0.0, 0.0, 0.0, 7.0, 9.0, 0.0, 9.0, 11.0, 0.0, 0.0, 0.0, 2.0, 14.0, 10.0, 14.0, 5.0, 0.0, 0.0, 0.0, 0.0, 9.0, 15.0, 6.0, 0.0, 0.0, 0.0], [0.0, 0.0, 7.0, 16.0, 13.0, 5.0, 0.0, 0.0, 0.0, 0.0, 13.0, 16.0, 16.0, 5.0, 0.0, 0.0, 0.0, 1.0, 16.0, 16.0, 16.0, 3.0, 0.0, 0.0, 0.0, 1.0, 14.0, 16.0, 15.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 16.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0, 14.0, 16.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 4.0, 14.0, 13.0, 6.0, 0.0, 0.0], [0.0, 0.0, 6.0, 15.0, 15.0, 1.0, 0.0, 0.0, 0.0, 4.0, 16.0, 13.0, 16.0, 4.0, 0.0, 0.0, 0.0, 10.0, 11.0, 2.0, 16.0, 2.0, 0.0, 0.0, 0.0, 1.0, 1.0, 10.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 14.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 14.0, 1.0, 12.0, 9.0, 0.0, 0.0, 0.0, 11.0, 15.0, 14.0, 16.0, 9.0, 0.0, 0.0, 0.0, 8.0, 16.0, 12.0, 5.0, 0.0, 0.0], [0.0, 0.0, 4.0, 14.0, 16.0, 5.0, 0.0, 0.0, 0.0, 4.0, 16.0, 16.0, 16.0, 8.0, 0.0, 0.0, 0.0, 12.0, 12.0, 0.0, 15.0, 8.0, 0.0, 0.0, 0.0, 2.0, 1.0, 5.0, 16.0, 13.0, 1.0, 0.0, 0.0, 0.0, 0.0, 1.0, 11.0, 15.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 12.0, 0.0, 0.0, 0.0, 2.0, 13.0, 12.0, 16.0, 7.0, 0.0, 0.0, 0.0, 3.0, 16.0, 15.0, 8.0, 0.0, 0.0], [0.0, 0.0, 0.0, 1.0, 15.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 16.0, 3.0, 0.0, 0.0, 0.0, 5.0, 16.0, 8.0, 16.0, 8.0, 3.0, 0.0, 0.0, 11.0, 16.0, 12.0, 16.0, 16.0, 12.0, 0.0, 0.0, 11.0, 16.0, 15.0, 16.0, 7.0, 2.0, 0.0, 0.0, 1.0, 4.0, 2.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 14.0, 0.0, 0.0, 0.0], [0.0, 1.0, 10.0, 12.0, 15.0, 11.0, 0.0, 0.0, 0.0, 8.0, 16.0, 13.0, 9.0, 4.0, 0.0, 0.0, 0.0, 5.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 14.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 4.0, 13.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 11.0, 11.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 14.0, 2.0, 0.0, 0.0], [0.0, 0.0, 1.0, 12.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 15.0, 2.0, 14.0, 13.0, 4.0, 0.0, 0.0, 2.0, 15.0, 16.0, 10.0, 5.0, 14.0, 0.0, 0.0, 0.0, 9.0, 13.0, 4.0, 9.0, 14.0, 0.0, 0.0, 0.0, 0.0, 10.0, 13.0, 12.0, 3.0, 0.0], [0.0, 0.0, 2.0, 11.0, 16.0, 16.0, 16.0, 4.0, 0.0, 0.0, 5.0, 11.0, 8.0, 8.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 6.0, 0.0, 0.0, 0.0, 2.0, 10.0, 13.0, 16.0, 13.0, 0.0, 0.0, 0.0, 12.0, 16.0, 16.0, 9.0, 2.0, 0.0, 0.0, 0.0, 2.0, 5.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 6.0, 0.0, 0.0, 0.0], [0.0, 0.0, 5.0, 12.0, 16.0, 7.0, 0.0, 0.0, 0.0, 5.0, 14.0, 4.0, 9.0, 15.0, 5.0, 0.0, 0.0, 4.0, 13.0, 6.0, 14.0, 6.0, 2.0, 0.0, 0.0, 1.0, 14.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 3.0, 15.0, 12.0, 9.0, 0.0, 0.0, 0.0, 0.0, 5.0, 12.0, 0.0, 10.0, 7.0, 0.0, 0.0, 0.0, 3.0, 15.0, 4.0, 2.0, 15.0, 0.0, 0.0, 0.0, 0.0, 5.0, 14.0, 14.0, 7.0, 0.0, 0.0], [0.0, 0.0, 0.0, 1.0, 7.0, 15.0, 11.0, 0.0, 0.0, 0.0, 0.0, 11.0, 8.0, 3.0, 13.0, 0.0, 0.0, 0.0, 10.0, 6.0, 2.0, 12.0, 11.0, 0.0, 0.0, 1.0, 16.0, 12.0, 16.0, 16.0, 7.0, 0.0, 0.0, 2.0, 16.0, 14.0, 7.0, 12.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 6.0, 0.0, 0.0], [0.0, 0.0, 5.0, 15.0, 14.0, 3.0, 0.0, 0.0, 0.0, 0.0, 13.0, 15.0, 9.0, 15.0, 2.0, 0.0, 0.0, 4.0, 16.0, 12.0, 0.0, 10.0, 6.0, 0.0, 0.0, 8.0, 16.0, 9.0, 0.0, 8.0, 10.0, 0.0, 0.0, 7.0, 15.0, 5.0, 0.0, 12.0, 11.0, 0.0, 0.0, 7.0, 13.0, 0.0, 5.0, 16.0, 6.0, 0.0, 0.0, 0.0, 16.0, 12.0, 15.0, 13.0, 1.0, 0.0, 0.0, 0.0, 6.0, 16.0, 12.0, 2.0, 0.0, 0.0], [0.0, 0.0, 4.0, 16.0, 15.0, 4.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 12.0, 16.0, 13.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 16.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 3.0, 12.0, 14.0, 11.0, 0.0, 0.0], [0.0, 0.0, 8.0, 15.0, 12.0, 1.0, 0.0, 0.0, 0.0, 8.0, 13.0, 8.0, 12.0, 6.0, 0.0, 0.0, 0.0, 4.0, 2.0, 0.0, 8.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 13.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 13.0, 0.0, 4.0, 4.0, 0.0, 0.0, 0.0, 10.0, 12.0, 9.0, 15.0, 11.0, 0.0, 0.0, 0.0, 9.0, 16.0, 9.0, 7.0, 1.0, 0.0], [0.0, 0.0, 6.0, 13.0, 16.0, 8.0, 0.0, 0.0, 0.0, 5.0, 16.0, 15.0, 14.0, 12.0, 0.0, 0.0, 0.0, 9.0, 12.0, 2.0, 15.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 16.0, 13.0, 3.0, 0.0, 0.0, 0.0, 0.0, 3.0, 9.0, 15.0, 11.0, 0.0, 0.0, 0.0, 1.0, 8.0, 14.0, 16.0, 8.0, 0.0, 0.0, 0.0, 7.0, 16.0, 14.0, 6.0, 0.0, 0.0], [0.0, 0.0, 0.0, 0.0, 6.0, 15.0, 2.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 16.0, 2.0, 0.0, 0.0, 0.0, 4.0, 16.0, 12.0, 16.0, 0.0, 0.0, 0.0, 4.0, 15.0, 6.0, 7.0, 13.0, 0.0, 0.0, 0.0, 11.0, 15.0, 15.0, 16.0, 16.0, 9.0, 0.0, 0.0, 9.0, 13.0, 12.0, 13.0, 14.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 8.0, 0.0, 0.0], [0.0, 1.0, 13.0, 16.0, 16.0, 11.0, 1.0, 0.0, 0.0, 8.0, 16.0, 16.0, 13.0, 11.0, 1.0, 0.0, 0.0, 11.0, 13.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 13.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 14.0, 15.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 6.0, 9.0, 15.0, 9.0, 0.0, 0.0, 0.0, 0.0, 13.0, 16.0, 15.0, 3.0, 0.0, 0.0], [0.0, 0.0, 1.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 9.0, 12.0, 10.0, 2.0, 0.0, 0.0, 0.0, 16.0, 13.0, 8.0, 8.0, 11.0, 0.0, 0.0, 0.0, 13.0, 10.0, 4.0, 9.0, 15.0, 0.0, 0.0, 0.0, 3.0, 10.0, 15.0, 9.0, 2.0, 0.0], [0.0, 0.0, 0.0, 4.0, 11.0, 15.0, 16.0, 12.0, 0.0, 0.0, 2.0, 16.0, 12.0, 9.0, 11.0, 12.0, 0.0, 0.0, 1.0, 2.0, 0.0, 0.0, 14.0, 5.0, 0.0, 0.0, 0.0, 7.0, 12.0, 14.0, 15.0, 0.0, 0.0, 0.0, 3.0, 16.0, 16.0, 15.0, 2.0, 0.0, 0.0, 0.0, 0.0, 1.0, 11.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 10.0, 0.0, 0.0, 0.0], [0.0, 0.0, 3.0, 13.0, 14.0, 4.0, 0.0, 0.0, 0.0, 0.0, 15.0, 8.0, 7.0, 11.0, 0.0, 0.0, 0.0, 0.0, 16.0, 0.0, 0.0, 11.0, 3.0, 0.0, 0.0, 0.0, 10.0, 6.0, 14.0, 14.0, 1.0, 0.0, 0.0, 0.0, 5.0, 16.0, 14.0, 1.0, 0.0, 0.0, 0.0, 0.0, 12.0, 10.0, 8.0, 12.0, 0.0, 0.0, 0.0, 0.0, 14.0, 3.0, 0.0, 9.0, 8.0, 0.0, 0.0, 0.0, 4.0, 14.0, 15.0, 12.0, 4.0, 0.0], [0.0, 0.0, 0.0, 1.0, 7.0, 14.0, 14.0, 0.0, 0.0, 0.0, 3.0, 15.0, 7.0, 1.0, 14.0, 0.0, 0.0, 2.0, 16.0, 10.0, 5.0, 14.0, 8.0, 0.0, 0.0, 4.0, 15.0, 16.0, 12.0, 16.0, 5.0, 0.0, 0.0, 0.0, 5.0, 3.0, 1.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 12.0, 0.0, 0.0], [0.0, 0.0, 3.0, 12.0, 8.0, 3.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 13.0, 13.0, 1.0, 0.0, 0.0, 0.0, 13.0, 8.0, 0.0, 9.0, 4.0, 0.0, 0.0, 0.0, 16.0, 2.0, 0.0, 6.0, 6.0, 0.0, 0.0, 4.0, 12.0, 0.0, 0.0, 10.0, 3.0, 0.0, 0.0, 3.0, 12.0, 0.0, 0.0, 13.0, 2.0, 0.0, 0.0, 0.0, 12.0, 4.0, 12.0, 10.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 13.0, 2.0, 0.0, 0.0], [0.0, 0.0, 0.0, 0.0, 8.0, 14.0, 10.0, 0.0, 0.0, 0.0, 0.0, 9.0, 7.0, 9.0, 12.0, 0.0, 0.0, 0.0, 9.0, 8.0, 0.0, 12.0, 9.0, 0.0, 0.0, 4.0, 16.0, 8.0, 12.0, 16.0, 2.0, 0.0, 0.0, 5.0, 16.0, 16.0, 10.0, 15.0, 0.0, 0.0, 0.0, 0.0, 4.0, 0.0, 5.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 10.0, 0.0, 0.0], [0.0, 0.0, 2.0, 15.0, 15.0, 16.0, 11.0, 0.0, 0.0, 0.0, 8.0, 16.0, 11.0, 3.0, 0.0, 0.0, 0.0, 0.0, 13.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 3.0, 9.0, 11.0, 3.0, 0.0, 0.0, 10.0, 15.0, 15.0, 16.0, 16.0, 11.0, 0.0, 0.0, 6.0, 16.0, 10.0, 7.0, 16.0, 5.0, 0.0, 0.0, 0.0, 3.0, 4.0, 15.0, 8.0, 0.0, 0.0, 0.0, 0.0, 4.0, 15.0, 7.0, 0.0, 0.0, 0.0], [0.0, 0.0, 13.0, 16.0, 16.0, 16.0, 8.0, 0.0, 0.0, 2.0, 16.0, 13.0, 8.0, 4.0, 1.0, 0.0, 0.0, 7.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 15.0, 12.0, 5.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 16.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 3.0, 15.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 14.0, 0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 4.0, 15.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 15.0, 11.0, 16.0, 13.0, 4.0, 0.0, 0.0, 7.0, 16.0, 16.0, 11.0, 14.0, 14.0, 0.0, 0.0, 2.0, 16.0, 11.0, 5.0, 15.0, 12.0, 0.0, 0.0, 0.0, 3.0, 16.0, 16.0, 14.0, 3.0, 0.0], [0.0, 0.0, 15.0, 12.0, 11.0, 6.0, 2.0, 0.0, 0.0, 4.0, 16.0, 15.0, 12.0, 12.0, 10.0, 0.0, 0.0, 7.0, 14.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 12.0, 3.0, 1.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 16.0, 14.0, 2.0, 0.0, 0.0, 0.0, 1.0, 8.0, 8.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 1.0, 11.0, 15.0, 2.0, 0.0, 0.0, 0.0, 0.0, 13.0, 16.0, 6.0, 0.0, 0.0, 0.0], [0.0, 0.0, 5.0, 16.0, 12.0, 2.0, 0.0, 0.0, 0.0, 0.0, 13.0, 14.0, 15.0, 11.0, 0.0, 0.0, 0.0, 6.0, 15.0, 1.0, 2.0, 16.0, 4.0, 0.0, 0.0, 6.0, 14.0, 0.0, 0.0, 9.0, 8.0, 0.0, 0.0, 8.0, 10.0, 0.0, 0.0, 13.0, 8.0, 0.0, 0.0, 4.0, 13.0, 0.0, 1.0, 14.0, 8.0, 0.0, 0.0, 0.0, 14.0, 14.0, 15.0, 15.0, 3.0, 0.0, 0.0, 0.0, 5.0, 12.0, 13.0, 8.0, 0.0, 0.0], [0.0, 0.0, 0.0, 1.0, 12.0, 16.0, 14.0, 0.0, 0.0, 0.0, 3.0, 14.0, 13.0, 15.0, 13.0, 0.0, 0.0, 4.0, 16.0, 15.0, 13.0, 16.0, 4.0, 0.0, 0.0, 3.0, 16.0, 16.0, 16.0, 16.0, 3.0, 0.0, 0.0, 0.0, 7.0, 7.0, 14.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 12.0, 0.0, 0.0], [0.0, 0.0, 6.0, 14.0, 13.0, 4.0, 0.0, 0.0, 0.0, 4.0, 16.0, 11.0, 10.0, 15.0, 0.0, 0.0, 0.0, 9.0, 11.0, 0.0, 12.0, 11.0, 0.0, 0.0, 0.0, 7.0, 11.0, 8.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 13.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 13.0, 12.0, 9.0, 0.0, 0.0, 0.0, 0.0, 12.0, 8.0, 0.0, 15.0, 1.0, 0.0, 0.0, 0.0, 5.0, 16.0, 16.0, 11.0, 0.0, 0.0], [0.0, 0.0, 0.0, 0.0, 8.0, 15.0, 9.0, 0.0, 0.0, 0.0, 1.0, 12.0, 8.0, 2.0, 11.0, 0.0, 0.0, 0.0, 10.0, 11.0, 0.0, 11.0, 8.0, 0.0, 0.0, 5.0, 16.0, 14.0, 15.0, 15.0, 3.0, 0.0, 0.0, 2.0, 12.0, 10.0, 4.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 6.0, 0.0, 0.0], [0.0, 0.0, 4.0, 12.0, 16.0, 6.0, 0.0, 0.0, 0.0, 4.0, 16.0, 10.0, 5.0, 16.0, 4.0, 0.0, 0.0, 8.0, 13.0, 0.0, 5.0, 15.0, 5.0, 0.0, 0.0, 6.0, 12.0, 7.0, 15.0, 3.0, 0.0, 0.0, 0.0, 0.0, 12.0, 16.0, 12.0, 1.0, 0.0, 0.0, 0.0, 0.0, 11.0, 10.0, 9.0, 11.0, 0.0, 0.0, 0.0, 0.0, 12.0, 6.0, 0.0, 13.0, 3.0, 0.0, 0.0, 0.0, 6.0, 13.0, 13.0, 8.0, 0.0, 0.0], [0.0, 0.0, 0.0, 4.0, 15.0, 11.0, 0.0, 0.0, 0.0, 0.0, 2.0, 15.0, 16.0, 13.0, 0.0, 0.0, 0.0, 0.0, 13.0, 13.0, 11.0, 10.0, 0.0, 0.0, 0.0, 7.0, 14.0, 3.0, 14.0, 12.0, 6.0, 0.0, 0.0, 8.0, 16.0, 16.0, 16.0, 15.0, 8.0, 0.0, 0.0, 1.0, 8.0, 9.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 14.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 14.0, 16.0, 15.0, 11.0, 0.0, 0.0, 0.0, 2.0, 16.0, 16.0, 16.0, 10.0, 0.0, 0.0, 0.0, 4.0, 16.0, 16.0, 16.0, 4.0, 0.0, 0.0, 0.0, 12.0, 16.0, 16.0, 12.0, 0.0, 0.0, 0.0, 0.0, 12.0, 16.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 14.0, 16.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 15.0, 2.0, 0.0, 0.0, 0.0, 0.0, 1.0, 15.0, 15.0, 1.0, 0.0, 0.0], [0.0, 0.0, 0.0, 4.0, 13.0, 16.0, 15.0, 2.0, 0.0, 0.0, 2.0, 15.0, 13.0, 13.0, 16.0, 6.0, 0.0, 0.0, 7.0, 7.0, 0.0, 3.0, 16.0, 4.0, 0.0, 0.0, 0.0, 4.0, 4.0, 8.0, 14.0, 0.0, 0.0, 0.0, 14.0, 16.0, 16.0, 16.0, 6.0, 0.0, 0.0, 0.0, 11.0, 9.0, 10.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 10.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 3.0, 9.0, 16.0, 16.0, 2.0, 0.0, 0.0, 4.0, 16.0, 13.0, 11.0, 16.0, 1.0, 0.0, 0.0, 3.0, 5.0, 0.0, 6.0, 13.0, 0.0, 0.0, 0.0, 0.0, 2.0, 7.0, 14.0, 9.0, 0.0, 0.0, 0.0, 4.0, 16.0, 16.0, 15.0, 3.0, 0.0, 0.0, 0.0, 9.0, 8.0, 11.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 15.0, 1.0, 0.0, 0.0], [0.0, 0.0, 1.0, 9.0, 15.0, 15.0, 1.0, 0.0, 0.0, 0.0, 13.0, 14.0, 8.0, 12.0, 4.0, 0.0, 0.0, 5.0, 11.0, 1.0, 2.0, 13.0, 1.0, 0.0, 0.0, 1.0, 4.0, 0.0, 11.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 14.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 13.0, 6.0, 0.0, 0.0, 0.0, 0.0, 4.0, 10.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 12.0, 13.0, 4.0, 0.0, 0.0], [0.0, 0.0, 8.0, 12.0, 16.0, 16.0, 9.0, 0.0, 0.0, 4.0, 16.0, 16.0, 13.0, 9.0, 2.0, 0.0, 0.0, 11.0, 14.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 15.0, 10.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 16.0, 13.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 5.0, 10.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 10.0, 0.0, 0.0, 0.0], [0.0, 0.0, 1.0, 10.0, 15.0, 11.0, 7.0, 0.0, 0.0, 0.0, 5.0, 16.0, 16.0, 16.0, 11.0, 0.0, 0.0, 0.0, 6.0, 16.0, 16.0, 16.0, 6.0, 0.0, 0.0, 0.0, 12.0, 16.0, 16.0, 12.0, 0.0, 0.0, 0.0, 2.0, 16.0, 16.0, 16.0, 6.0, 0.0, 0.0, 0.0, 2.0, 12.0, 16.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 3.0, 12.0, 16.0, 2.0, 0.0, 0.0], [0.0, 0.0, 1.0, 13.0, 12.0, 1.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 16.0, 12.0, 0.0, 0.0, 0.0, 0.0, 14.0, 6.0, 0.0, 13.0, 3.0, 0.0, 0.0, 6.0, 10.0, 0.0, 0.0, 10.0, 6.0, 0.0, 0.0, 7.0, 13.0, 0.0, 0.0, 9.0, 8.0, 0.0, 0.0, 3.0, 16.0, 1.0, 3.0, 14.0, 7.0, 0.0, 0.0, 0.0, 11.0, 16.0, 16.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 6.0, 0.0, 0.0], [0.0, 0.0, 4.0, 16.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 10.0, 15.0, 12.0, 14.0, 0.0, 0.0, 0.0, 2.0, 11.0, 0.0, 0.0, 9.0, 6.0, 0.0, 0.0, 5.0, 6.0, 0.0, 0.0, 4.0, 5.0, 0.0, 0.0, 4.0, 9.0, 0.0, 0.0, 7.0, 4.0, 0.0, 0.0, 4.0, 10.0, 0.0, 2.0, 14.0, 0.0, 0.0, 0.0, 0.0, 14.0, 15.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 4.0, 13.0, 10.0, 0.0, 0.0, 0.0], [0.0, 0.0, 6.0, 16.0, 16.0, 7.0, 0.0, 0.0, 0.0, 8.0, 16.0, 13.0, 10.0, 16.0, 0.0, 0.0, 0.0, 6.0, 9.0, 0.0, 6.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 1.0, 15.0, 8.0, 3.0, 5.0, 0.0, 0.0, 0.0, 8.0, 16.0, 11.0, 16.0, 9.0, 0.0, 0.0, 0.0, 5.0, 16.0, 16.0, 7.0, 0.0, 0.0], [0.0, 0.0, 6.0, 15.0, 15.0, 3.0, 0.0, 0.0, 0.0, 5.0, 16.0, 13.0, 15.0, 8.0, 0.0, 0.0, 0.0, 8.0, 13.0, 0.0, 13.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 5.0, 9.0, 8.0, 0.0, 0.0, 0.0, 8.0, 15.0, 15.0, 15.0, 3.0, 0.0, 0.0, 0.0, 5.0, 16.0, 12.0, 1.0, 0.0, 0.0], [0.0, 0.0, 1.0, 11.0, 16.0, 16.0, 7.0, 0.0, 0.0, 0.0, 7.0, 13.0, 8.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 1.0, 1.0, 16.0, 4.0, 0.0, 0.0, 0.0, 2.0, 7.0, 13.0, 16.0, 15.0, 0.0, 0.0, 1.0, 15.0, 16.0, 16.0, 12.0, 3.0, 0.0, 0.0, 1.0, 8.0, 4.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 14.0, 4.0, 0.0, 0.0, 0.0], [0.0, 0.0, 2.0, 12.0, 16.0, 10.0, 0.0, 0.0, 0.0, 3.0, 15.0, 10.0, 7.0, 16.0, 4.0, 0.0, 0.0, 9.0, 8.0, 0.0, 11.0, 10.0, 0.0, 0.0, 0.0, 3.0, 15.0, 11.0, 14.0, 1.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 7.0, 13.0, 4.0, 0.0, 0.0, 0.0, 0.0, 9.0, 7.0, 6.0, 10.0, 0.0, 0.0, 0.0, 0.0, 1.0, 12.0, 16.0, 5.0, 0.0, 0.0], [0.0, 0.0, 3.0, 12.0, 16.0, 16.0, 3.0, 0.0, 0.0, 2.0, 16.0, 16.0, 11.0, 16.0, 4.0, 0.0, 0.0, 8.0, 14.0, 2.0, 10.0, 16.0, 1.0, 0.0, 0.0, 5.0, 5.0, 3.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 5.0, 2.0, 3.0, 0.0, 0.0, 0.0, 3.0, 16.0, 12.0, 15.0, 6.0, 0.0, 0.0, 0.0, 0.0, 15.0, 16.0, 8.0, 0.0, 0.0], [0.0, 0.0, 0.0, 9.0, 15.0, 6.0, 0.0, 0.0, 0.0, 0.0, 5.0, 15.0, 16.0, 15.0, 0.0, 0.0, 0.0, 0.0, 15.0, 15.0, 4.0, 16.0, 3.0, 0.0, 0.0, 2.0, 14.0, 5.0, 0.0, 12.0, 8.0, 0.0, 0.0, 6.0, 13.0, 0.0, 1.0, 14.0, 6.0, 0.0, 0.0, 1.0, 10.0, 14.0, 15.0, 16.0, 3.0, 0.0, 0.0, 0.0, 3.0, 16.0, 16.0, 14.0, 1.0, 0.0, 0.0, 0.0, 0.0, 9.0, 13.0, 5.0, 0.0, 0.0], [0.0, 0.0, 3.0, 8.0, 11.0, 11.0, 1.0, 0.0, 0.0, 0.0, 3.0, 16.0, 16.0, 12.0, 0.0, 0.0, 0.0, 0.0, 2.0, 15.0, 16.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 1.0, 15.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 2.0, 15.0, 16.0, 6.0, 0.0, 0.0], [0.0, 0.0, 1.0, 13.0, 16.0, 10.0, 0.0, 0.0, 0.0, 1.0, 13.0, 15.0, 8.0, 16.0, 3.0, 0.0, 0.0, 8.0, 15.0, 3.0, 4.0, 15.0, 0.0, 0.0, 0.0, 1.0, 3.0, 0.0, 12.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 14.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 8.0, 0.0, 4.0, 0.0, 0.0, 0.0, 1.0, 16.0, 8.0, 13.0, 9.0, 0.0, 0.0, 0.0, 0.0, 14.0, 16.0, 11.0, 0.0, 0.0], [0.0, 0.0, 2.0, 14.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 0.0, 6.0, 7.0, 2.0, 0.0, 0.0, 4.0, 12.0, 13.0, 15.0, 14.0, 12.0, 0.0, 0.0, 0.0, 13.0, 12.0, 2.0, 11.0, 14.0, 0.0, 0.0, 0.0, 3.0, 13.0, 16.0, 13.0, 1.0, 0.0], [0.0, 0.0, 6.0, 14.0, 16.0, 16.0, 2.0, 0.0, 0.0, 5.0, 16.0, 13.0, 11.0, 16.0, 0.0, 0.0, 0.0, 0.0, 7.0, 2.0, 15.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 13.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 15.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 9.0, 0.0, 0.0, 0.0, 3.0, 11.0, 8.0, 16.0, 6.0, 0.0, 0.0, 0.0, 7.0, 16.0, 16.0, 8.0, 0.0, 0.0], [0.0, 1.0, 7.0, 13.0, 16.0, 11.0, 0.0, 0.0, 0.0, 11.0, 16.0, 13.0, 15.0, 16.0, 0.0, 0.0, 0.0, 3.0, 8.0, 2.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 14.0, 11.0, 0.0, 0.0, 0.0, 3.0, 8.0, 14.0, 16.0, 8.0, 0.0, 0.0, 0.0, 7.0, 16.0, 12.0, 7.0, 0.0, 0.0], [0.0, 0.0, 1.0, 6.0, 12.0, 16.0, 9.0, 0.0, 0.0, 0.0, 10.0, 15.0, 10.0, 13.0, 9.0, 0.0, 0.0, 0.0, 2.0, 1.0, 0.0, 14.0, 2.0, 0.0, 0.0, 0.0, 0.0, 6.0, 12.0, 16.0, 15.0, 0.0, 0.0, 0.0, 5.0, 16.0, 16.0, 14.0, 7.0, 0.0, 0.0, 0.0, 3.0, 6.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 2.0, 0.0, 0.0, 0.0], [0.0, 0.0, 4.0, 13.0, 16.0, 11.0, 0.0, 0.0, 0.0, 9.0, 16.0, 9.0, 10.0, 15.0, 0.0, 0.0, 0.0, 5.0, 4.0, 0.0, 12.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 12.0, 1.0, 0.0, 0.0, 0.0, 0.0, 1.0, 9.0, 15.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 12.0, 0.0, 0.0, 0.0, 1.0, 6.0, 8.0, 16.0, 8.0, 0.0, 0.0, 0.0, 5.0, 16.0, 15.0, 9.0, 1.0, 0.0], [0.0, 1.0, 11.0, 15.0, 16.0, 9.0, 0.0, 0.0, 0.0, 3.0, 16.0, 10.0, 10.0, 16.0, 1.0, 0.0, 0.0, 0.0, 2.0, 1.0, 14.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 16.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 8.0, 0.0, 0.0, 0.0, 6.0, 8.0, 13.0, 15.0, 5.0, 0.0, 0.0, 0.0, 15.0, 16.0, 12.0, 5.0, 0.0, 0.0], [0.0, 0.0, 0.0, 6.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 9.0, 15.0, 3.0, 0.0, 0.0, 1.0, 15.0, 7.0, 5.0, 15.0, 0.0, 0.0, 0.0, 9.0, 16.0, 4.0, 11.0, 14.0, 10.0, 0.0, 0.0, 9.0, 16.0, 16.0, 16.0, 16.0, 9.0, 0.0, 0.0, 0.0, 2.0, 4.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 10.0, 0.0, 0.0, 0.0], [0.0, 0.0, 2.0, 14.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 12.0, 1.0, 0.0, 0.0, 0.0, 0.0, 1.0, 15.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 12.0, 12.0, 16.0, 13.0, 2.0, 0.0, 0.0, 4.0, 16.0, 12.0, 6.0, 6.0, 11.0, 0.0, 0.0, 0.0, 14.0, 9.0, 0.0, 5.0, 13.0, 0.0, 0.0, 0.0, 3.0, 11.0, 15.0, 14.0, 1.0, 0.0], [0.0, 0.0, 1.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 9.0, 3.0, 2.0, 0.0, 0.0, 0.0, 0.0, 13.0, 16.0, 16.0, 15.0, 4.0, 0.0, 0.0, 0.0, 13.0, 13.0, 6.0, 4.0, 12.0, 0.0, 0.0, 0.0, 9.0, 11.0, 5.0, 9.0, 15.0, 2.0, 0.0, 0.0, 2.0, 12.0, 16.0, 12.0, 6.0, 0.0], [0.0, 0.0, 9.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 8.0, 14.0, 9.0, 0.0, 0.0, 0.0, 5.0, 16.0, 15.0, 8.0, 9.0, 10.0, 0.0, 0.0, 3.0, 16.0, 2.0, 0.0, 7.0, 11.0, 0.0, 0.0, 0.0, 7.0, 14.0, 16.0, 12.0, 1.0, 0.0], [0.0, 0.0, 0.0, 1.0, 11.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 9.0, 15.0, 15.0, 7.0, 0.0, 0.0, 0.0, 5.0, 16.0, 3.0, 16.0, 4.0, 0.0, 0.0, 0.0, 10.0, 13.0, 9.0, 16.0, 14.0, 8.0, 0.0, 0.0, 3.0, 15.0, 16.0, 16.0, 13.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 2.0, 0.0, 0.0], [0.0, 0.0, 0.0, 1.0, 7.0, 12.0, 14.0, 1.0, 0.0, 0.0, 1.0, 13.0, 8.0, 4.0, 13.0, 0.0, 0.0, 0.0, 10.0, 16.0, 9.0, 15.0, 11.0, 0.0, 0.0, 1.0, 16.0, 15.0, 15.0, 16.0, 3.0, 0.0, 0.0, 0.0, 11.0, 9.0, 3.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 6.0, 0.0, 0.0], [0.0, 0.0, 0.0, 10.0, 12.0, 8.0, 1.0, 0.0, 0.0, 0.0, 5.0, 16.0, 16.0, 16.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 16.0, 9.0, 0.0, 0.0, 0.0, 2.0, 15.0, 16.0, 13.0, 2.0, 0.0, 0.0, 0.0, 4.0, 16.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 1.0, 15.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 11.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 12.0, 6.0, 0.0, 0.0], [0.0, 0.0, 6.0, 16.0, 16.0, 16.0, 10.0, 0.0, 0.0, 0.0, 13.0, 15.0, 9.0, 6.0, 0.0, 0.0, 0.0, 6.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 15.0, 4.0, 2.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 16.0, 16.0, 15.0, 1.0, 0.0, 0.0, 0.0, 6.0, 8.0, 9.0, 16.0, 4.0, 0.0, 0.0, 0.0, 1.0, 3.0, 13.0, 15.0, 1.0, 0.0, 0.0, 0.0, 7.0, 16.0, 15.0, 3.0, 0.0, 0.0], [0.0, 0.0, 0.0, 9.0, 13.0, 3.0, 0.0, 0.0, 0.0, 0.0, 8.0, 15.0, 12.0, 15.0, 2.0, 0.0, 0.0, 0.0, 12.0, 8.0, 0.0, 15.0, 4.0, 0.0, 0.0, 3.0, 13.0, 0.0, 0.0, 10.0, 7.0, 0.0, 0.0, 8.0, 9.0, 0.0, 0.0, 13.0, 7.0, 0.0, 0.0, 2.0, 16.0, 4.0, 7.0, 16.0, 5.0, 0.0, 0.0, 0.0, 14.0, 14.0, 16.0, 15.0, 1.0, 0.0, 0.0, 0.0, 1.0, 12.0, 14.0, 4.0, 0.0, 0.0], [0.0, 0.0, 0.0, 0.0, 8.0, 13.0, 3.0, 0.0, 0.0, 0.0, 0.0, 12.0, 11.0, 11.0, 5.0, 0.0, 0.0, 0.0, 11.0, 8.0, 8.0, 16.0, 0.0, 0.0, 0.0, 2.0, 16.0, 16.0, 16.0, 15.0, 0.0, 0.0, 0.0, 2.0, 16.0, 11.0, 7.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 7.0, 0.0, 0.0], [0.0, 0.0, 2.0, 16.0, 15.0, 15.0, 8.0, 0.0, 0.0, 0.0, 7.0, 16.0, 15.0, 12.0, 7.0, 0.0, 0.0, 3.0, 15.0, 8.0, 1.0, 0.0, 0.0, 0.0, 0.0, 9.0, 15.0, 4.0, 4.0, 2.0, 0.0, 0.0, 0.0, 5.0, 16.0, 16.0, 16.0, 15.0, 2.0, 0.0, 0.0, 0.0, 5.0, 6.0, 8.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 1.0, 14.0, 10.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 13.0, 1.0, 0.0, 0.0], [0.0, 0.0, 9.0, 16.0, 16.0, 9.0, 0.0, 0.0, 0.0, 5.0, 16.0, 14.0, 15.0, 16.0, 1.0, 0.0, 0.0, 2.0, 11.0, 1.0, 10.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 15.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 7.0, 8.0, 7.0, 0.0, 0.0, 0.0, 9.0, 16.0, 15.0, 14.0, 2.0, 0.0, 0.0, 0.0, 9.0, 16.0, 13.0, 1.0, 0.0, 0.0], [0.0, 0.0, 3.0, 12.0, 11.0, 4.0, 0.0, 0.0, 0.0, 4.0, 15.0, 13.0, 12.0, 16.0, 0.0, 0.0, 0.0, 9.0, 14.0, 0.0, 0.0, 12.0, 2.0, 0.0, 0.0, 0.0, 13.0, 11.0, 7.0, 15.0, 3.0, 0.0, 0.0, 0.0, 0.0, 15.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 10.0, 14.0, 2.0, 0.0, 0.0, 0.0, 11.0, 13.0, 0.0, 8.0, 8.0, 0.0, 0.0, 0.0, 2.0, 12.0, 16.0, 16.0, 7.0, 0.0], [0.0, 0.0, 4.0, 14.0, 16.0, 5.0, 0.0, 0.0, 0.0, 4.0, 16.0, 16.0, 16.0, 8.0, 0.0, 0.0, 0.0, 10.0, 15.0, 9.0, 16.0, 4.0, 0.0, 0.0, 0.0, 1.0, 2.0, 13.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 0.0, 5.0, 7.0, 0.0, 0.0, 0.0, 8.0, 16.0, 13.0, 16.0, 6.0, 0.0, 0.0, 0.0, 2.0, 15.0, 16.0, 6.0, 0.0, 0.0], [0.0, 0.0, 4.0, 12.0, 13.0, 5.0, 0.0, 0.0, 0.0, 0.0, 14.0, 16.0, 16.0, 16.0, 4.0, 0.0, 0.0, 6.0, 13.0, 2.0, 1.0, 11.0, 8.0, 0.0, 0.0, 6.0, 11.0, 0.0, 0.0, 8.0, 8.0, 0.0, 0.0, 4.0, 16.0, 0.0, 0.0, 10.0, 8.0, 0.0, 0.0, 4.0, 16.0, 4.0, 8.0, 16.0, 3.0, 0.0, 0.0, 0.0, 16.0, 16.0, 16.0, 12.0, 0.0, 0.0, 0.0, 0.0, 4.0, 15.0, 14.0, 3.0, 0.0, 0.0], [0.0, 0.0, 3.0, 11.0, 7.0, 1.0, 0.0, 0.0, 0.0, 0.0, 10.0, 15.0, 14.0, 14.0, 0.0, 0.0, 0.0, 2.0, 16.0, 10.0, 1.0, 12.0, 4.0, 0.0, 0.0, 2.0, 16.0, 3.0, 0.0, 4.0, 8.0, 0.0, 0.0, 5.0, 12.0, 0.0, 0.0, 6.0, 8.0, 0.0, 0.0, 1.0, 12.0, 0.0, 0.0, 11.0, 9.0, 0.0, 0.0, 0.0, 15.0, 9.0, 14.0, 15.0, 1.0, 0.0, 0.0, 0.0, 4.0, 15.0, 15.0, 4.0, 0.0, 0.0], [0.0, 0.0, 0.0, 10.0, 16.0, 11.0, 1.0, 0.0, 0.0, 0.0, 0.0, 15.0, 16.0, 15.0, 2.0, 0.0, 0.0, 0.0, 1.0, 13.0, 16.0, 14.0, 0.0, 0.0, 0.0, 0.0, 1.0, 15.0, 16.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 1.0, 14.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 15.0, 1.0, 0.0, 0.0], [0.0, 0.0, 0.0, 7.0, 14.0, 16.0, 5.0, 0.0, 0.0, 0.0, 7.0, 16.0, 12.0, 16.0, 8.0, 0.0, 0.0, 0.0, 4.0, 2.0, 1.0, 16.0, 4.0, 0.0, 0.0, 0.0, 3.0, 12.0, 12.0, 16.0, 8.0, 0.0, 0.0, 0.0, 12.0, 16.0, 16.0, 15.0, 5.0, 0.0, 0.0, 0.0, 5.0, 5.0, 13.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 8.0, 0.0, 0.0, 0.0], [0.0, 0.0, 1.0, 13.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0, 1.0, 14.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 3.0, 0.0, 1.0, 0.0, 0.0, 0.0, 1.0, 16.0, 6.0, 15.0, 15.0, 5.0, 0.0, 0.0, 1.0, 16.0, 14.0, 4.0, 3.0, 12.0, 0.0, 0.0, 0.0, 7.0, 7.0, 0.0, 9.0, 12.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 9.0, 2.0, 0.0], [0.0, 1.0, 5.0, 12.0, 16.0, 14.0, 2.0, 0.0, 0.0, 8.0, 16.0, 16.0, 16.0, 16.0, 3.0, 0.0, 0.0, 6.0, 9.0, 2.0, 12.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 13.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 14.0, 10.0, 0.0, 0.0, 0.0, 1.0, 11.0, 15.0, 15.0, 5.0, 0.0, 0.0, 0.0, 6.0, 16.0, 12.0, 5.0, 0.0, 0.0], [0.0, 2.0, 12.0, 16.0, 12.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 13.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 3.0, 5.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 15.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 13.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 11.0, 8.0, 11.0, 5.0, 0.0, 0.0, 0.0, 15.0, 16.0, 16.0, 15.0, 3.0, 0.0], [0.0, 0.0, 5.0, 15.0, 13.0, 12.0, 4.0, 0.0, 0.0, 0.0, 11.0, 16.0, 16.0, 14.0, 0.0, 0.0, 0.0, 0.0, 16.0, 16.0, 16.0, 8.0, 0.0, 0.0, 0.0, 4.0, 16.0, 16.0, 15.0, 3.0, 0.0, 0.0, 0.0, 2.0, 16.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 15.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 15.0, 3.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 6.0, 13.0, 16.0, 16.0, 9.0, 0.0, 0.0, 6.0, 16.0, 14.0, 11.0, 16.0, 10.0, 0.0, 0.0, 2.0, 3.0, 0.0, 4.0, 15.0, 4.0, 0.0, 0.0, 2.0, 9.0, 12.0, 16.0, 13.0, 0.0, 0.0, 2.0, 15.0, 16.0, 16.0, 16.0, 3.0, 0.0, 0.0, 4.0, 9.0, 3.0, 10.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 9.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 2.0, 14.0, 2.0, 0.0, 0.0, 0.0, 0.0, 1.0, 13.0, 15.0, 6.0, 0.0, 0.0, 0.0, 0.0, 12.0, 15.0, 12.0, 11.0, 0.0, 0.0, 0.0, 5.0, 16.0, 4.0, 15.0, 6.0, 0.0, 0.0, 0.0, 12.0, 15.0, 8.0, 16.0, 16.0, 11.0, 0.0, 0.0, 6.0, 16.0, 16.0, 16.0, 8.0, 2.0, 0.0, 0.0, 0.0, 2.0, 6.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 14.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 8.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 15.0, 16.0, 16.0, 14.0, 1.0, 0.0, 0.0, 4.0, 16.0, 1.0, 4.0, 15.0, 6.0, 0.0, 0.0, 0.0, 5.0, 14.0, 15.0, 10.0, 0.0], [0.0, 0.0, 6.0, 9.0, 11.0, 9.0, 0.0, 0.0, 0.0, 13.0, 16.0, 15.0, 15.0, 15.0, 0.0, 0.0, 0.0, 4.0, 5.0, 2.0, 15.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 15.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 15.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 12.0, 0.0, 0.0, 0.0, 0.0, 5.0, 13.0, 16.0, 9.0, 0.0, 0.0, 0.0, 3.0, 13.0, 12.0, 7.0, 1.0, 0.0], [0.0, 1.0, 11.0, 16.0, 15.0, 12.0, 3.0, 0.0, 0.0, 1.0, 13.0, 16.0, 16.0, 12.0, 0.0, 0.0, 0.0, 2.0, 16.0, 16.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 16.0, 16.0, 16.0, 2.0, 0.0, 0.0, 0.0, 8.0, 16.0, 16.0, 14.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 1.0, 13.0, 16.0, 13.0, 1.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 12.0, 0.0, 0.0, 0.0], [0.0, 0.0, 7.0, 15.0, 12.0, 0.0, 0.0, 0.0, 0.0, 3.0, 15.0, 8.0, 14.0, 2.0, 0.0, 0.0, 0.0, 0.0, 5.0, 2.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 11.0, 8.0, 2.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 16.0, 15.0, 4.0, 0.0, 0.0, 0.0, 1.0, 4.0, 2.0, 12.0, 6.0, 0.0, 0.0, 0.0, 2.0, 4.0, 13.0, 12.0, 0.0, 0.0, 0.0, 0.0, 5.0, 13.0, 9.0, 1.0, 0.0, 0.0], [0.0, 0.0, 0.0, 0.0, 5.0, 15.0, 10.0, 0.0, 0.0, 0.0, 0.0, 8.0, 11.0, 15.0, 7.0, 0.0, 0.0, 0.0, 6.0, 13.0, 10.0, 16.0, 7.0, 0.0, 0.0, 3.0, 16.0, 14.0, 12.0, 15.0, 4.0, 0.0, 0.0, 1.0, 11.0, 8.0, 1.0, 14.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 4.0, 0.0, 0.0], [0.0, 0.0, 5.0, 12.0, 12.0, 8.0, 1.0, 0.0, 0.0, 0.0, 10.0, 16.0, 16.0, 15.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 16.0, 8.0, 0.0, 0.0, 0.0, 4.0, 16.0, 16.0, 16.0, 4.0, 0.0, 0.0, 0.0, 3.0, 16.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 16.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 13.0, 16.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 10.0, 12.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 7.0, 14.0, 16.0, 6.0, 0.0, 0.0, 0.0, 10.0, 16.0, 12.0, 15.0, 9.0, 0.0, 0.0, 0.0, 8.0, 3.0, 2.0, 16.0, 7.0, 0.0, 0.0, 0.0, 1.0, 8.0, 13.0, 16.0, 14.0, 0.0, 0.0, 2.0, 13.0, 16.0, 16.0, 12.0, 1.0, 0.0, 0.0, 6.0, 12.0, 6.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 6.0, 0.0, 0.0, 0.0], [0.0, 0.0, 3.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 15.0, 0.0, 1.0, 0.0, 0.0, 0.0, 0.0, 4.0, 15.0, 14.0, 16.0, 13.0, 2.0, 0.0, 0.0, 3.0, 16.0, 11.0, 3.0, 7.0, 12.0, 0.0, 0.0, 0.0, 13.0, 6.0, 3.0, 8.0, 14.0, 0.0, 0.0, 0.0, 4.0, 14.0, 16.0, 14.0, 7.0, 0.0], [0.0, 0.0, 4.0, 14.0, 14.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 16.0, 16.0, 5.0, 1.0, 0.0, 0.0, 9.0, 13.0, 0.0, 13.0, 16.0, 2.0, 0.0, 0.0, 3.0, 16.0, 13.0, 15.0, 5.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 13.0, 14.0, 7.0, 0.0, 0.0, 0.0, 0.0, 10.0, 11.0, 10.0, 15.0, 0.0, 0.0, 0.0, 0.0, 4.0, 13.0, 11.0, 3.0, 0.0, 0.0], [0.0, 0.0, 0.0, 12.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 3.0, 12.0, 4.0, 0.0, 0.0, 1.0, 16.0, 5.0, 8.0, 14.0, 0.0, 0.0, 0.0, 9.0, 15.0, 0.0, 13.0, 10.0, 2.0, 0.0, 0.0, 10.0, 15.0, 12.0, 16.0, 16.0, 9.0, 0.0, 0.0, 6.0, 16.0, 16.0, 15.0, 9.0, 1.0, 0.0, 0.0, 0.0, 0.0, 14.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 6.0, 14.0, 11.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 9.0, 16.0, 0.0, 0.0, 0.0, 0.0, 3.0, 7.0, 5.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 14.0, 8.0, 2.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 16.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 8.0, 0.0, 0.0, 0.0, 0.0, 4.0, 10.0, 15.0, 2.0, 0.0, 0.0, 0.0, 5.0, 16.0, 12.0, 4.0, 0.0, 0.0], [0.0, 0.0, 0.0, 4.0, 11.0, 9.0, 5.0, 0.0, 0.0, 0.0, 5.0, 16.0, 16.0, 16.0, 5.0, 0.0, 0.0, 0.0, 11.0, 16.0, 16.0, 9.0, 0.0, 0.0, 0.0, 4.0, 16.0, 16.0, 16.0, 4.0, 0.0, 0.0, 0.0, 1.0, 14.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 4.0, 15.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 5.0, 0.0, 0.0, 0.0], [0.0, 0.0, 1.0, 14.0, 8.0, 8.0, 1.0, 0.0, 0.0, 0.0, 10.0, 13.0, 8.0, 16.0, 1.0, 0.0, 0.0, 2.0, 16.0, 4.0, 10.0, 11.0, 0.0, 0.0, 0.0, 7.0, 15.0, 6.0, 14.0, 16.0, 13.0, 0.0, 0.0, 3.0, 16.0, 16.0, 15.0, 9.0, 2.0, 0.0, 0.0, 0.0, 3.0, 11.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 2.0, 10.0, 15.0, 1.0, 0.0, 0.0, 0.0, 3.0, 16.0, 16.0, 13.0, 13.0, 0.0, 0.0, 0.0, 5.0, 16.0, 12.0, 1.0, 12.0, 1.0, 0.0, 0.0, 7.0, 13.0, 5.0, 0.0, 7.0, 5.0, 0.0, 0.0, 2.0, 14.0, 0.0, 0.0, 7.0, 10.0, 0.0, 0.0, 0.0, 12.0, 2.0, 0.0, 12.0, 7.0, 0.0, 0.0, 0.0, 9.0, 12.0, 12.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 6.0, 0.0, 0.0], [0.0, 0.0, 10.0, 16.0, 16.0, 13.0, 0.0, 0.0, 0.0, 4.0, 16.0, 15.0, 12.0, 4.0, 0.0, 0.0, 0.0, 8.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 11.0, 6.0, 1.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 16.0, 13.0, 2.0, 0.0, 0.0, 0.0, 0.0, 1.0, 7.0, 14.0, 12.0, 0.0, 0.0, 0.0, 0.0, 6.0, 13.0, 16.0, 10.0, 0.0, 0.0, 0.0, 12.0, 16.0, 14.0, 6.0, 0.0, 0.0], [0.0, 1.0, 10.0, 16.0, 16.0, 8.0, 0.0, 0.0, 0.0, 10.0, 16.0, 13.0, 16.0, 12.0, 0.0, 0.0, 0.0, 1.0, 3.0, 3.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 14.0, 1.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 16.0, 12.0, 3.0, 0.0, 0.0, 0.0, 0.0, 5.0, 11.0, 16.0, 11.0, 0.0, 0.0, 0.0, 2.0, 7.0, 14.0, 16.0, 6.0, 0.0, 0.0, 0.0, 11.0, 16.0, 13.0, 5.0, 0.0, 0.0], [0.0, 0.0, 0.0, 6.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 15.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 7.0, 5.0, 5.0, 0.0, 0.0, 0.0, 2.0, 16.0, 13.0, 9.0, 13.0, 11.0, 0.0, 0.0, 0.0, 8.0, 13.0, 7.0, 5.0, 15.0, 3.0, 0.0, 0.0, 0.0, 5.0, 11.0, 13.0, 12.0, 2.0], [0.0, 0.0, 0.0, 0.0, 5.0, 11.0, 14.0, 1.0, 0.0, 0.0, 0.0, 10.0, 13.0, 8.0, 15.0, 2.0, 0.0, 0.0, 11.0, 9.0, 4.0, 9.0, 12.0, 0.0, 0.0, 5.0, 16.0, 16.0, 16.0, 16.0, 6.0, 0.0, 0.0, 0.0, 15.0, 16.0, 13.0, 16.0, 3.0, 0.0, 0.0, 0.0, 2.0, 3.0, 1.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 5.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 14.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 14.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 8.0, 4.0, 6.0, 2.0, 0.0, 0.0, 0.0, 11.0, 16.0, 13.0, 12.0, 13.0, 0.0, 0.0, 0.0, 12.0, 14.0, 4.0, 5.0, 16.0, 2.0, 0.0, 0.0, 1.0, 8.0, 16.0, 13.0, 9.0, 1.0], [0.0, 0.0, 2.0, 12.0, 12.0, 8.0, 1.0, 0.0, 0.0, 0.0, 2.0, 15.0, 16.0, 16.0, 8.0, 0.0, 0.0, 0.0, 5.0, 16.0, 16.0, 14.0, 3.0, 0.0, 0.0, 0.0, 8.0, 16.0, 16.0, 10.0, 0.0, 0.0, 0.0, 3.0, 15.0, 16.0, 13.0, 0.0, 0.0, 0.0, 0.0, 2.0, 14.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 9.0, 5.0, 0.0, 0.0, 0.0], [0.0, 0.0, 1.0, 9.0, 15.0, 12.0, 5.0, 0.0, 0.0, 0.0, 8.0, 16.0, 16.0, 16.0, 13.0, 0.0, 0.0, 0.0, 3.0, 1.0, 1.0, 14.0, 10.0, 0.0, 0.0, 0.0, 3.0, 10.0, 13.0, 16.0, 15.0, 0.0, 0.0, 2.0, 16.0, 16.0, 16.0, 15.0, 3.0, 0.0, 0.0, 3.0, 8.0, 2.0, 13.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 5.0, 0.0, 0.0, 0.0], [0.0, 0.0, 11.0, 16.0, 16.0, 16.0, 16.0, 2.0, 0.0, 5.0, 16.0, 16.0, 14.0, 10.0, 4.0, 0.0, 0.0, 5.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 15.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 13.0, 1.0, 0.0, 0.0], [0.0, 0.0, 0.0, 9.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 15.0, 6.0, 12.0, 0.0, 0.0, 0.0, 1.0, 12.0, 8.0, 5.0, 14.0, 0.0, 0.0, 0.0, 6.0, 14.0, 0.0, 12.0, 7.0, 0.0, 0.0, 0.0, 14.0, 6.0, 2.0, 16.0, 9.0, 5.0, 0.0, 0.0, 16.0, 13.0, 13.0, 16.0, 15.0, 4.0, 0.0, 1.0, 15.0, 16.0, 16.0, 12.0, 2.0, 0.0, 0.0, 0.0, 3.0, 3.0, 13.0, 4.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 10.0, 6.0, 0.0, 10.0, 14.0, 0.0, 0.0, 7.0, 15.0, 2.0, 7.0, 14.0, 1.0, 0.0, 0.0, 15.0, 9.0, 1.0, 15.0, 12.0, 2.0, 0.0, 4.0, 16.0, 10.0, 11.0, 16.0, 12.0, 1.0, 0.0, 2.0, 16.0, 16.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 5.0, 12.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 3.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 8.0, 14.0, 15.0, 7.0, 0.0, 0.0, 0.0, 4.0, 16.0, 12.0, 15.0, 14.0, 0.0, 0.0, 0.0, 1.0, 1.0, 0.0, 11.0, 12.0, 0.0, 0.0, 0.0, 2.0, 4.0, 6.0, 14.0, 15.0, 0.0, 0.0, 4.0, 16.0, 16.0, 16.0, 16.0, 5.0, 0.0, 0.0, 8.0, 12.0, 7.0, 14.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 7.0, 0.0, 0.0, 0.0], [0.0, 0.0, 7.0, 15.0, 15.0, 5.0, 0.0, 0.0, 0.0, 6.0, 16.0, 12.0, 16.0, 12.0, 0.0, 0.0, 0.0, 1.0, 7.0, 0.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 13.0, 1.0, 5.0, 1.0, 0.0, 0.0, 0.0, 12.0, 12.0, 13.0, 15.0, 3.0, 0.0, 0.0, 0.0, 10.0, 16.0, 13.0, 3.0, 0.0, 0.0], [0.0, 0.0, 0.0, 8.0, 15.0, 9.0, 1.0, 0.0, 0.0, 0.0, 11.0, 14.0, 12.0, 15.0, 8.0, 0.0, 0.0, 0.0, 15.0, 5.0, 6.0, 14.0, 2.0, 0.0, 0.0, 0.0, 14.0, 14.0, 15.0, 1.0, 0.0, 0.0, 0.0, 1.0, 13.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 9.0, 13.0, 0.0, 0.0, 0.0, 0.0, 2.0, 13.0, 15.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 1.0, 9.0, 15.0, 2.0, 0.0, 0.0], [0.0, 0.0, 9.0, 16.0, 16.0, 8.0, 0.0, 0.0, 0.0, 5.0, 16.0, 15.0, 14.0, 16.0, 0.0, 0.0, 0.0, 4.0, 9.0, 3.0, 13.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 14.0, 1.0, 4.0, 3.0, 0.0, 0.0, 0.0, 16.0, 14.0, 15.0, 16.0, 4.0, 0.0, 0.0, 0.0, 9.0, 16.0, 15.0, 5.0, 0.0, 0.0], [0.0, 1.0, 8.0, 16.0, 16.0, 3.0, 0.0, 0.0, 0.0, 6.0, 16.0, 12.0, 16.0, 4.0, 0.0, 0.0, 0.0, 1.0, 7.0, 0.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 14.0, 1.0, 4.0, 5.0, 0.0, 0.0, 0.0, 13.0, 12.0, 11.0, 15.0, 3.0, 0.0, 0.0, 0.0, 12.0, 16.0, 12.0, 3.0, 0.0, 0.0], [0.0, 0.0, 8.0, 14.0, 16.0, 16.0, 1.0, 0.0, 0.0, 6.0, 16.0, 16.0, 8.0, 3.0, 0.0, 0.0, 0.0, 14.0, 14.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 15.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 15.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 8.0, 15.0, 2.0, 0.0, 0.0, 0.0, 0.0, 2.0, 13.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 4.0, 0.0, 0.0, 0.0], [0.0, 0.0, 4.0, 15.0, 16.0, 11.0, 0.0, 0.0, 0.0, 0.0, 7.0, 9.0, 9.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 13.0, 0.0, 0.0, 0.0, 0.0, 1.0, 9.0, 15.0, 16.0, 10.0, 0.0, 0.0, 0.0, 13.0, 15.0, 16.0, 8.0, 2.0, 0.0, 0.0, 0.0, 3.0, 7.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 13.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 11.0, 0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 1.0, 8.0, 13.0, 14.0, 2.0, 0.0, 0.0, 2.0, 13.0, 9.0, 4.0, 14.0, 4.0, 0.0, 0.0, 13.0, 9.0, 0.0, 9.0, 14.0, 1.0, 0.0, 4.0, 16.0, 14.0, 14.0, 16.0, 6.0, 0.0, 0.0, 1.0, 11.0, 10.0, 7.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 3.0, 0.0, 0.0], [0.0, 3.0, 10.0, 16.0, 16.0, 16.0, 2.0, 0.0, 0.0, 14.0, 16.0, 14.0, 9.0, 3.0, 0.0, 0.0, 0.0, 16.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 14.0, 13.0, 0.0, 0.0, 0.0, 0.0, 2.0, 15.0, 16.0, 8.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 5.0, 11.0, 0.0, 6.0, 0.0, 0.0, 0.0, 3.0, 15.0, 7.0, 6.0, 16.0, 1.0, 0.0, 0.0, 13.0, 9.0, 1.0, 13.0, 7.0, 0.0, 0.0, 6.0, 15.0, 2.0, 6.0, 15.0, 0.0, 0.0, 0.0, 14.0, 10.0, 0.0, 14.0, 12.0, 3.0, 0.0, 0.0, 14.0, 16.0, 16.0, 16.0, 14.0, 3.0, 0.0, 0.0, 5.0, 11.0, 14.0, 13.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 9.0, 0.0, 0.0, 0.0], [0.0, 0.0, 4.0, 12.0, 16.0, 8.0, 0.0, 0.0, 0.0, 5.0, 16.0, 11.0, 10.0, 16.0, 4.0, 0.0, 0.0, 8.0, 13.0, 0.0, 1.0, 13.0, 4.0, 0.0, 0.0, 3.0, 16.0, 13.0, 15.0, 13.0, 3.0, 0.0, 0.0, 0.0, 9.0, 16.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 14.0, 7.0, 5.0, 15.0, 6.0, 0.0, 0.0, 0.0, 10.0, 12.0, 7.0, 13.0, 10.0, 0.0, 0.0, 0.0, 3.0, 13.0, 13.0, 10.0, 1.0, 0.0], [0.0, 0.0, 4.0, 15.0, 7.0, 0.0, 0.0, 0.0, 0.0, 1.0, 13.0, 12.0, 16.0, 2.0, 2.0, 0.0, 0.0, 7.0, 11.0, 0.0, 11.0, 12.0, 1.0, 0.0, 0.0, 4.0, 8.0, 6.0, 13.0, 3.0, 0.0, 0.0, 0.0, 3.0, 16.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 14.0, 6.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 10.0, 14.0, 3.0, 0.0, 0.0, 0.0, 0.0, 2.0, 9.0, 12.0, 3.0, 0.0, 0.0], [0.0, 0.0, 0.0, 11.0, 5.0, 3.0, 11.0, 0.0, 0.0, 0.0, 7.0, 14.0, 2.0, 12.0, 9.0, 0.0, 0.0, 2.0, 15.0, 6.0, 3.0, 16.0, 5.0, 0.0, 0.0, 7.0, 16.0, 8.0, 13.0, 16.0, 13.0, 0.0, 0.0, 7.0, 16.0, 16.0, 16.0, 7.0, 1.0, 0.0, 0.0, 0.0, 4.0, 10.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 1.0, 9.0, 16.0, 9.0, 0.0, 0.0, 0.0, 1.0, 11.0, 13.0, 14.0, 12.0, 1.0, 0.0, 1.0, 15.0, 13.0, 4.0, 16.0, 16.0, 3.0, 0.0, 2.0, 16.0, 16.0, 16.0, 15.0, 12.0, 0.0, 0.0, 0.0, 7.0, 8.0, 4.0, 14.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 6.0, 0.0, 0.0], [0.0, 0.0, 2.0, 12.0, 15.0, 3.0, 0.0, 0.0, 0.0, 0.0, 15.0, 15.0, 13.0, 15.0, 0.0, 0.0, 0.0, 2.0, 14.0, 3.0, 1.0, 12.0, 3.0, 0.0, 0.0, 4.0, 8.0, 0.0, 0.0, 8.0, 8.0, 0.0, 0.0, 7.0, 10.0, 0.0, 0.0, 9.0, 5.0, 0.0, 0.0, 1.0, 13.0, 5.0, 3.0, 15.0, 2.0, 0.0, 0.0, 0.0, 7.0, 16.0, 14.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 14.0, 4.0, 0.0, 0.0], [0.0, 0.0, 3.0, 13.0, 15.0, 5.0, 0.0, 0.0, 0.0, 1.0, 15.0, 13.0, 10.0, 15.0, 0.0, 0.0, 0.0, 2.0, 16.0, 3.0, 2.0, 9.0, 0.0, 0.0, 0.0, 0.0, 12.0, 13.0, 14.0, 7.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 4.0, 9.0, 11.0, 1.0, 0.0, 0.0, 0.0, 15.0, 3.0, 0.0, 8.0, 8.0, 0.0, 0.0, 0.0, 3.0, 12.0, 15.0, 12.0, 7.0, 0.0], [0.0, 0.0, 0.0, 3.0, 12.0, 16.0, 15.0, 1.0, 0.0, 0.0, 3.0, 16.0, 9.0, 10.0, 16.0, 0.0, 0.0, 0.0, 14.0, 13.0, 7.0, 15.0, 10.0, 0.0, 0.0, 2.0, 16.0, 16.0, 16.0, 16.0, 2.0, 0.0, 0.0, 2.0, 12.0, 9.0, 13.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 14.0, 1.0, 0.0, 0.0], [0.0, 0.0, 4.0, 11.0, 15.0, 7.0, 0.0, 0.0, 0.0, 2.0, 15.0, 14.0, 9.0, 15.0, 1.0, 0.0, 0.0, 8.0, 15.0, 1.0, 6.0, 16.0, 5.0, 0.0, 0.0, 6.0, 14.0, 13.0, 15.0, 6.0, 0.0, 0.0, 0.0, 1.0, 16.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 4.0, 15.0, 11.0, 15.0, 1.0, 0.0, 0.0, 0.0, 1.0, 12.0, 3.0, 7.0, 9.0, 0.0, 0.0, 0.0, 0.0, 4.0, 14.0, 16.0, 6.0, 0.0, 0.0], [0.0, 0.0, 7.0, 11.0, 15.0, 9.0, 0.0, 0.0, 0.0, 0.0, 15.0, 15.0, 4.0, 11.0, 4.0, 0.0, 0.0, 3.0, 11.0, 5.0, 0.0, 2.0, 10.0, 0.0, 0.0, 7.0, 8.0, 0.0, 0.0, 3.0, 8.0, 0.0, 0.0, 6.0, 8.0, 0.0, 0.0, 4.0, 8.0, 0.0, 0.0, 5.0, 8.0, 0.0, 0.0, 8.0, 5.0, 0.0, 0.0, 1.0, 12.0, 2.0, 1.0, 13.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 14.0, 3.0, 0.0, 0.0], [0.0, 0.0, 4.0, 14.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 1.0, 15.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 2.0, 15.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 14.0, 1.0, 0.0, 0.0], [0.0, 2.0, 15.0, 16.0, 12.0, 0.0, 0.0, 0.0, 0.0, 8.0, 11.0, 8.0, 16.0, 0.0, 0.0, 0.0, 0.0, 3.0, 1.0, 7.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 11.0, 6.0, 5.0, 2.0, 0.0, 0.0, 1.0, 16.0, 16.0, 16.0, 16.0, 9.0, 0.0], [0.0, 1.0, 13.0, 16.0, 12.0, 1.0, 0.0, 0.0, 0.0, 1.0, 9.0, 5.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 15.0, 16.0, 11.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 12.0, 7.0, 0.0, 0.0, 0.0, 2.0, 4.0, 6.0, 15.0, 3.0, 0.0, 0.0, 0.0, 14.0, 16.0, 11.0, 5.0, 0.0, 0.0], [0.0, 0.0, 0.0, 12.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 1.0, 14.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 3.0, 2.0, 0.0, 0.0, 0.0, 0.0, 13.0, 12.0, 8.0, 12.0, 0.0, 0.0, 0.0, 0.0, 15.0, 16.0, 15.0, 16.0, 13.0, 4.0, 0.0, 0.0, 4.0, 9.0, 14.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 13.0, 0.0, 0.0, 0.0], [0.0, 2.0, 13.0, 16.0, 16.0, 16.0, 15.0, 2.0, 0.0, 8.0, 16.0, 12.0, 8.0, 4.0, 1.0, 0.0, 0.0, 5.0, 16.0, 13.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 13.0, 12.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 16.0, 6.0, 0.0, 0.0, 0.0], [0.0, 0.0, 1.0, 14.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 15.0, 3.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 14.0, 13.0, 15.0, 10.0, 0.0, 0.0, 0.0, 8.0, 16.0, 2.0, 3.0, 14.0, 5.0, 0.0, 0.0, 5.0, 16.0, 4.0, 0.0, 12.0, 6.0, 0.0, 0.0, 0.0, 10.0, 13.0, 2.0, 14.0, 6.0, 0.0, 0.0, 0.0, 2.0, 12.0, 16.0, 11.0, 1.0, 0.0], [0.0, 0.0, 5.0, 15.0, 16.0, 14.0, 1.0, 0.0, 0.0, 0.0, 11.0, 13.0, 9.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 11.0, 0.0, 0.0, 0.0, 0.0, 7.0, 13.0, 15.0, 12.0, 1.0, 0.0, 0.0, 0.0, 7.0, 14.0, 14.0, 12.0, 4.0, 0.0, 0.0, 0.0, 0.0, 14.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 10.0, 0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 3.0, 13.0, 8.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 16.0, 14.0, 0.0, 0.0, 0.0, 0.0, 11.0, 11.0, 9.0, 10.0, 0.0, 0.0, 0.0, 0.0, 8.0, 14.0, 15.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 15.0, 5.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 3.0, 13.0, 9.0, 0.0, 0.0, 0.0, 5.0, 15.0, 4.0, 13.0, 11.0, 0.0, 0.0, 0.0, 1.0, 15.0, 15.0, 8.0, 2.0, 0.0], [0.0, 0.0, 5.0, 11.0, 13.0, 3.0, 0.0, 0.0, 0.0, 0.0, 16.0, 13.0, 15.0, 9.0, 0.0, 0.0, 0.0, 4.0, 16.0, 0.0, 13.0, 13.0, 0.0, 0.0, 0.0, 1.0, 11.0, 16.0, 15.0, 15.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 12.0, 0.0, 0.0, 0.0, 6.0, 4.0, 2.0, 9.0, 11.0, 0.0, 0.0, 0.0, 6.0, 13.0, 16.0, 16.0, 6.0, 0.0], [0.0, 0.0, 6.0, 16.0, 16.0, 8.0, 0.0, 0.0, 0.0, 2.0, 16.0, 8.0, 9.0, 16.0, 3.0, 0.0, 0.0, 8.0, 16.0, 1.0, 0.0, 9.0, 9.0, 0.0, 0.0, 9.0, 12.0, 0.0, 0.0, 8.0, 12.0, 0.0, 0.0, 10.0, 12.0, 0.0, 0.0, 8.0, 10.0, 0.0, 0.0, 8.0, 13.0, 0.0, 0.0, 9.0, 8.0, 0.0, 0.0, 2.0, 16.0, 8.0, 6.0, 15.0, 3.0, 0.0, 0.0, 0.0, 8.0, 16.0, 15.0, 8.0, 0.0, 0.0], [0.0, 0.0, 4.0, 12.0, 13.0, 3.0, 0.0, 0.0, 0.0, 0.0, 7.0, 14.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 16.0, 11.0, 0.0, 0.0], [0.0, 3.0, 15.0, 14.0, 5.0, 0.0, 0.0, 0.0, 0.0, 14.0, 14.0, 14.0, 15.0, 0.0, 0.0, 0.0, 0.0, 8.0, 1.0, 6.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 1.0, 14.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 2.0, 0.0, 1.0, 0.0, 0.0, 4.0, 16.0, 15.0, 8.0, 9.0, 15.0, 0.0, 0.0, 3.0, 16.0, 16.0, 16.0, 15.0, 5.0, 0.0], [0.0, 1.0, 12.0, 16.0, 13.0, 2.0, 0.0, 0.0, 0.0, 5.0, 14.0, 6.0, 13.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 15.0, 7.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 12.0, 16.0, 11.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 15.0, 7.0, 0.0, 0.0, 0.0, 6.0, 0.0, 4.0, 14.0, 7.0, 0.0, 0.0, 0.0, 16.0, 16.0, 15.0, 8.0, 1.0, 0.0], [0.0, 0.0, 0.0, 8.0, 15.0, 5.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 13.0, 1.0, 0.0, 0.0, 0.0, 0.0, 12.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 7.0, 9.0, 4.0, 0.0, 0.0, 0.0, 14.0, 16.0, 13.0, 16.0, 14.0, 3.0, 0.0, 0.0, 8.0, 14.0, 16.0, 16.0, 14.0, 2.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 14.0, 0.0, 0.0, 0.0], [0.0, 1.0, 8.0, 16.0, 16.0, 16.0, 10.0, 0.0, 0.0, 8.0, 16.0, 14.0, 8.0, 5.0, 1.0, 0.0, 0.0, 9.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 15.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 15.0, 4.0, 0.0, 0.0, 0.0, 0.0, 1.0, 3.0, 12.0, 4.0, 0.0, 0.0, 0.0, 0.0, 5.0, 14.0, 15.0, 4.0, 0.0, 0.0, 0.0, 0.0, 1.0, 13.0, 12.0, 0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 7.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 12.0, 4.0, 1.0, 0.0, 0.0, 0.0, 6.0, 16.0, 16.0, 16.0, 16.0, 5.0, 0.0, 0.0, 8.0, 16.0, 7.0, 1.0, 15.0, 8.0, 0.0, 0.0, 7.0, 16.0, 0.0, 0.0, 16.0, 4.0, 0.0, 0.0, 2.0, 16.0, 7.0, 10.0, 12.0, 0.0, 0.0, 0.0, 0.0, 4.0, 15.0, 13.0, 3.0, 0.0, 0.0], [0.0, 0.0, 7.0, 16.0, 16.0, 5.0, 0.0, 0.0, 0.0, 1.0, 15.0, 11.0, 14.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 8.0, 0.0, 0.0, 0.0, 0.0, 3.0, 8.0, 14.0, 12.0, 5.0, 0.0, 0.0, 0.0, 14.0, 16.0, 16.0, 10.0, 5.0, 0.0, 0.0, 0.0, 2.0, 8.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 15.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 14.0, 1.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 2.0, 15.0, 5.0, 0.0, 0.0, 0.0, 0.0, 2.0, 4.0, 10.0, 12.0, 0.0, 0.0, 0.0, 3.0, 15.0, 14.0, 10.0, 8.0, 0.0, 0.0, 0.0, 8.0, 15.0, 1.0, 11.0, 4.0, 0.0, 0.0, 0.0, 1.0, 8.0, 15.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 12.0, 1.0, 0.0, 0.0, 0.0, 0.0, 4.0, 14.0, 15.0, 4.0, 0.0, 0.0, 0.0, 0.0, 2.0, 14.0, 11.0, 0.0, 0.0], [0.0, 0.0, 1.0, 5.0, 12.0, 13.0, 0.0, 0.0, 0.0, 0.0, 11.0, 13.0, 15.0, 16.0, 1.0, 0.0, 0.0, 2.0, 14.0, 0.0, 10.0, 12.0, 4.0, 0.0, 0.0, 5.0, 13.0, 12.0, 3.0, 12.0, 0.0, 0.0, 0.0, 0.0, 5.0, 6.0, 0.0, 12.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 2.0, 0.0, 0.0, 0.0, 4.0, 5.0, 0.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 4.0, 14.0, 13.0, 0.0, 0.0], [0.0, 0.0, 2.0, 13.0, 15.0, 8.0, 0.0, 0.0, 0.0, 0.0, 10.0, 14.0, 10.0, 11.0, 8.0, 0.0, 0.0, 0.0, 16.0, 1.0, 0.0, 0.0, 9.0, 0.0, 0.0, 3.0, 13.0, 0.0, 0.0, 0.0, 8.0, 0.0, 0.0, 4.0, 12.0, 0.0, 0.0, 1.0, 8.0, 0.0, 0.0, 5.0, 12.0, 0.0, 0.0, 10.0, 0.0, 0.0, 0.0, 0.0, 15.0, 8.0, 7.0, 10.0, 0.0, 0.0, 0.0, 0.0, 4.0, 14.0, 14.0, 1.0, 0.0, 0.0], [0.0, 0.0, 1.0, 11.0, 15.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0, 2.0, 15.0, 15.0, 3.0, 0.0, 0.0], [0.0, 3.0, 16.0, 15.0, 6.0, 0.0, 0.0, 0.0, 0.0, 5.0, 14.0, 14.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 1.0, 14.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 8.0, 8.0, 10.0, 5.0, 0.0, 0.0, 4.0, 16.0, 16.0, 16.0, 14.0, 3.0, 0.0], [0.0, 2.0, 11.0, 14.0, 10.0, 1.0, 0.0, 0.0, 0.0, 6.0, 12.0, 8.0, 15.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 14.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 13.0, 8.0, 0.0, 0.0, 2.0, 5.0, 1.0, 2.0, 12.0, 7.0, 0.0, 0.0, 1.0, 12.0, 16.0, 16.0, 10.0, 0.0, 0.0], [0.0, 0.0, 0.0, 13.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 9.0, 0.0, 2.0, 0.0, 0.0, 0.0, 7.0, 15.0, 1.0, 5.0, 15.0, 1.0, 0.0, 0.0, 14.0, 10.0, 4.0, 11.0, 12.0, 3.0, 0.0, 2.0, 16.0, 16.0, 16.0, 16.0, 13.0, 2.0, 0.0, 0.0, 3.0, 4.0, 11.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 4.0, 0.0, 0.0, 0.0], [0.0, 2.0, 12.0, 13.0, 16.0, 16.0, 4.0, 0.0, 0.0, 11.0, 16.0, 13.0, 7.0, 4.0, 1.0, 0.0, 0.0, 13.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 15.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 7.0, 0.0, 0.0, 0.0, 0.0, 3.0, 5.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 3.0, 13.0, 15.0, 0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 11.0, 13.0, 5.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 13.0, 3.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 16.0, 13.0, 7.0, 0.0, 0.0, 0.0, 4.0, 16.0, 11.0, 8.0, 16.0, 2.0, 0.0, 0.0, 0.0, 15.0, 8.0, 0.0, 15.0, 6.0, 0.0, 0.0, 0.0, 9.0, 14.0, 4.0, 15.0, 4.0, 0.0, 0.0, 0.0, 1.0, 10.0, 16.0, 11.0, 1.0, 0.0], [0.0, 0.0, 8.0, 16.0, 16.0, 11.0, 0.0, 0.0, 0.0, 0.0, 4.0, 8.0, 13.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 8.0, 0.0, 0.0, 0.0, 0.0, 3.0, 12.0, 16.0, 8.0, 2.0, 0.0, 0.0, 0.0, 6.0, 16.0, 16.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 14.0, 8.0, 2.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 12.0, 0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 8.0, 14.0, 9.0, 0.0, 0.0, 0.0, 0.0, 9.0, 15.0, 16.0, 15.0, 0.0, 0.0, 0.0, 4.0, 15.0, 5.0, 8.0, 14.0, 0.0, 0.0, 0.0, 8.0, 14.0, 1.0, 14.0, 7.0, 0.0, 0.0, 0.0, 1.0, 15.0, 13.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 16.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 10.0, 15.0, 7.0, 0.0, 0.0, 0.0, 0.0, 2.0, 10.0, 16.0, 5.0, 0.0, 0.0], [0.0, 0.0, 2.0, 10.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 16.0, 14.0, 0.0, 0.0, 0.0, 0.0, 15.0, 10.0, 16.0, 16.0, 2.0, 0.0, 0.0, 0.0, 12.0, 16.0, 12.0, 13.0, 8.0, 0.0, 0.0, 0.0, 1.0, 7.0, 1.0, 10.0, 11.0, 0.0, 0.0, 5.0, 5.0, 0.0, 0.0, 8.0, 12.0, 0.0, 0.0, 3.0, 15.0, 10.0, 2.0, 11.0, 12.0, 0.0, 0.0, 0.0, 3.0, 10.0, 16.0, 16.0, 10.0, 0.0], [0.0, 0.0, 1.0, 13.0, 12.0, 5.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 4.0, 13.0, 2.0, 0.0, 0.0, 2.0, 16.0, 4.0, 0.0, 8.0, 5.0, 0.0, 0.0, 7.0, 12.0, 0.0, 0.0, 8.0, 8.0, 0.0, 0.0, 6.0, 12.0, 0.0, 0.0, 5.0, 8.0, 0.0, 0.0, 3.0, 16.0, 0.0, 0.0, 8.0, 7.0, 0.0, 0.0, 1.0, 15.0, 8.0, 6.0, 15.0, 3.0, 0.0, 0.0, 0.0, 2.0, 13.0, 15.0, 6.0, 0.0, 0.0], [0.0, 0.0, 2.0, 10.0, 10.0, 11.0, 0.0, 0.0, 0.0, 0.0, 10.0, 9.0, 9.0, 16.0, 0.0, 0.0, 0.0, 0.0, 14.0, 0.0, 6.0, 15.0, 0.0, 0.0, 0.0, 0.0, 11.0, 14.0, 9.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 3.0, 0.0, 0.0, 10.0, 9.0, 5.0, 0.0, 15.0, 1.0, 0.0, 0.0, 0.0, 2.0, 14.0, 16.0, 13.0, 0.0, 0.0], [0.0, 0.0, 13.0, 10.0, 8.0, 8.0, 7.0, 0.0, 0.0, 4.0, 16.0, 16.0, 16.0, 16.0, 15.0, 2.0, 0.0, 0.0, 10.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 15.0, 0.0, 0.0, 0.0, 0.0, 1.0, 6.0, 10.0, 12.0, 0.0, 0.0, 0.0, 0.0, 1.0, 13.0, 16.0, 5.0, 0.0, 0.0, 0.0], [0.0, 0.0, 6.0, 15.0, 16.0, 15.0, 11.0, 0.0, 0.0, 1.0, 15.0, 14.0, 8.0, 8.0, 7.0, 0.0, 0.0, 4.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 11.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 5.0, 0.0, 0.0, 0.0], [0.0, 0.0, 6.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 14.0, 11.0, 5.0, 0.0, 0.0, 0.0, 5.0, 16.0, 12.0, 11.0, 16.0, 6.0, 0.0, 0.0, 6.0, 16.0, 9.0, 2.0, 16.0, 9.0, 0.0, 0.0, 0.0, 13.0, 14.0, 8.0, 16.0, 8.0, 0.0, 0.0, 0.0, 4.0, 15.0, 16.0, 13.0, 2.0, 0.0], [0.0, 1.0, 12.0, 16.0, 16.0, 16.0, 12.0, 0.0, 0.0, 9.0, 16.0, 13.0, 6.0, 8.0, 5.0, 0.0, 0.0, 8.0, 16.0, 15.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 14.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 15.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 13.0, 2.0, 0.0, 0.0, 0.0], [0.0, 0.0, 2.0, 10.0, 15.0, 7.0, 0.0, 0.0, 0.0, 0.0, 14.0, 15.0, 7.0, 15.0, 2.0, 0.0, 0.0, 4.0, 16.0, 3.0, 0.0, 11.0, 4.0, 0.0, 0.0, 4.0, 14.0, 0.0, 0.0, 7.0, 8.0, 0.0, 0.0, 7.0, 12.0, 0.0, 0.0, 6.0, 7.0, 0.0, 0.0, 4.0, 16.0, 1.0, 0.0, 12.0, 4.0, 0.0, 0.0, 1.0, 14.0, 12.0, 10.0, 16.0, 1.0, 0.0, 0.0, 0.0, 1.0, 14.0, 13.0, 5.0, 0.0, 0.0], [0.0, 0.0, 3.0, 4.0, 10.0, 0.0, 0.0, 0.0, 0.0, 3.0, 15.0, 8.0, 14.0, 3.0, 0.0, 0.0, 0.0, 8.0, 7.0, 0.0, 10.0, 6.0, 0.0, 0.0, 0.0, 3.0, 11.0, 8.0, 15.0, 11.0, 0.0, 0.0, 0.0, 0.0, 1.0, 7.0, 3.0, 13.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 9.0, 0.0, 0.0, 0.0, 9.0, 6.0, 1.0, 0.0, 16.0, 0.0, 0.0, 0.0, 0.0, 3.0, 11.0, 16.0, 16.0, 3.0], [0.0, 0.0, 2.0, 12.0, 14.0, 8.0, 0.0, 0.0, 0.0, 0.0, 13.0, 13.0, 15.0, 12.0, 0.0, 0.0, 0.0, 5.0, 15.0, 2.0, 10.0, 6.0, 0.0, 0.0, 0.0, 2.0, 14.0, 13.0, 14.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 15.0, 13.0, 1.0, 0.0, 0.0, 0.0, 1.0, 15.0, 3.0, 14.0, 7.0, 0.0, 0.0, 0.0, 6.0, 13.0, 1.0, 16.0, 4.0, 0.0, 0.0, 0.0, 1.0, 12.0, 16.0, 11.0, 0.0, 0.0], [0.0, 0.0, 3.0, 14.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 13.0, 10.0, 6.0, 16.0, 7.0, 0.0, 0.0, 5.0, 16.0, 3.0, 2.0, 14.0, 6.0, 0.0, 0.0, 0.0, 10.0, 16.0, 16.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 4.0, 0.0, 0.0, 3.0, 11.0, 2.0, 5.0, 15.0, 0.0, 0.0, 0.0, 0.0, 4.0, 12.0, 16.0, 10.0, 0.0, 0.0], [0.0, 0.0, 2.0, 10.0, 14.0, 9.0, 0.0, 0.0, 0.0, 2.0, 14.0, 11.0, 12.0, 16.0, 0.0, 0.0, 0.0, 4.0, 16.0, 1.0, 0.0, 15.0, 0.0, 0.0, 0.0, 2.0, 13.0, 12.0, 7.0, 13.0, 0.0, 0.0, 0.0, 0.0, 1.0, 8.0, 16.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 14.0, 15.0, 4.0, 0.0, 0.0, 0.0, 0.0, 13.0, 7.0, 14.0, 4.0, 0.0, 0.0, 0.0, 0.0, 14.0, 15.0, 10.0, 0.0, 0.0], [0.0, 0.0, 0.0, 3.0, 15.0, 5.0, 0.0, 0.0, 0.0, 0.0, 1.0, 15.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 15.0, 2.0, 3.0, 0.0, 0.0, 0.0, 5.0, 16.0, 4.0, 6.0, 16.0, 1.0, 0.0, 0.0, 10.0, 15.0, 4.0, 9.0, 16.0, 2.0, 0.0, 0.0, 12.0, 16.0, 16.0, 16.0, 13.0, 2.0, 0.0, 0.0, 1.0, 4.0, 7.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 15.0, 0.0, 0.0, 0.0], [0.0, 0.0, 4.0, 10.0, 11.0, 4.0, 0.0, 0.0, 0.0, 1.0, 11.0, 16.0, 16.0, 14.0, 0.0, 0.0, 0.0, 4.0, 16.0, 16.0, 16.0, 12.0, 0.0, 0.0, 0.0, 4.0, 16.0, 16.0, 16.0, 7.0, 0.0, 0.0, 0.0, 4.0, 16.0, 16.0, 16.0, 8.0, 0.0, 0.0, 0.0, 4.0, 16.0, 16.0, 16.0, 7.0, 0.0, 0.0, 0.0, 3.0, 15.0, 16.0, 16.0, 12.0, 0.0, 0.0, 0.0, 0.0, 5.0, 12.0, 12.0, 12.0, 1.0, 0.0], [0.0, 0.0, 13.0, 16.0, 15.0, 2.0, 0.0, 0.0, 0.0, 5.0, 14.0, 5.0, 15.0, 7.0, 0.0, 0.0, 0.0, 0.0, 2.0, 0.0, 12.0, 7.0, 0.0, 0.0, 0.0, 0.0, 5.0, 9.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 16.0, 16.0, 10.0, 0.0, 0.0, 0.0, 2.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 7.0, 0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 3.0, 15.0, 16.0, 15.0, 1.0, 0.0, 0.0, 0.0, 9.0, 11.0, 9.0, 16.0, 3.0, 0.0, 0.0, 0.0, 1.0, 0.0, 3.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 14.0, 0.0, 0.0, 0.0, 0.0, 4.0, 15.0, 15.0, 16.0, 6.0, 0.0, 0.0, 0.0, 2.0, 12.0, 15.0, 7.0, 1.0, 0.0, 0.0, 0.0, 0.0, 13.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 14.0, 1.0, 0.0, 0.0, 0.0], [0.0, 1.0, 11.0, 16.0, 13.0, 4.0, 0.0, 0.0, 0.0, 1.0, 15.0, 7.0, 14.0, 14.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 15.0, 1.0, 0.0, 0.0, 0.0, 1.0, 10.0, 15.0, 6.0, 0.0, 0.0, 0.0, 0.0, 5.0, 15.0, 14.0, 7.0, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 5.0, 16.0, 3.0, 0.0, 0.0, 5.0, 11.0, 1.0, 1.0, 16.0, 4.0, 0.0, 0.0, 0.0, 10.0, 15.0, 16.0, 10.0, 1.0, 0.0], [0.0, 0.0, 9.0, 16.0, 16.0, 16.0, 10.0, 0.0, 0.0, 4.0, 16.0, 14.0, 8.0, 11.0, 11.0, 0.0, 0.0, 11.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 15.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 14.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 13.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 16.0, 7.0, 0.0, 0.0, 0.0], [0.0, 0.0, 5.0, 14.0, 12.0, 5.0, 0.0, 0.0, 0.0, 0.0, 13.0, 16.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 13.0, 16.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 16.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 13.0, 16.0, 8.0, 0.0, 0.0], [0.0, 0.0, 6.0, 15.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 16.0, 13.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 16.0, 16.0, 7.0, 0.0, 0.0, 1.0, 16.0, 8.0, 0.0, 11.0, 8.0, 0.0, 0.0, 7.0, 14.0, 1.0, 0.0, 10.0, 8.0, 0.0, 0.0, 8.0, 12.0, 0.0, 0.0, 13.0, 4.0, 0.0, 0.0, 5.0, 16.0, 8.0, 9.0, 13.0, 0.0, 0.0, 0.0, 0.0, 6.0, 12.0, 13.0, 5.0, 0.0, 0.0], [0.0, 0.0, 2.0, 13.0, 15.0, 7.0, 1.0, 0.0, 0.0, 0.0, 7.0, 16.0, 15.0, 16.0, 10.0, 0.0, 0.0, 0.0, 14.0, 16.0, 10.0, 10.0, 10.0, 0.0, 0.0, 2.0, 16.0, 3.0, 0.0, 8.0, 8.0, 0.0, 0.0, 5.0, 13.0, 0.0, 0.0, 9.0, 8.0, 0.0, 0.0, 6.0, 13.0, 0.0, 0.0, 12.0, 3.0, 0.0, 0.0, 2.0, 16.0, 6.0, 9.0, 10.0, 0.0, 0.0, 0.0, 0.0, 3.0, 14.0, 14.0, 1.0, 0.0, 0.0], [0.0, 0.0, 12.0, 16.0, 12.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 12.0, 16.0, 3.0, 0.0, 0.0, 0.0, 1.0, 8.0, 4.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 15.0, 8.0, 8.0, 2.0, 0.0, 0.0, 0.0, 12.0, 16.0, 16.0, 12.0, 1.0, 0.0], [0.0, 3.0, 15.0, 15.0, 2.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 1.0, 9.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 15.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 13.0, 15.0, 15.0, 5.0, 0.0, 0.0, 4.0, 16.0, 16.0, 16.0, 13.0, 3.0, 0.0], [0.0, 0.0, 10.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 1.0, 10.0, 14.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 11.0, 13.0, 3.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 16.0, 16.0, 7.0, 0.0, 0.0, 0.0, 3.0, 16.0, 4.0, 5.0, 1.0, 0.0, 0.0, 0.0, 7.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 6.0, 0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 9.0, 13.0, 10.0, 1.0, 0.0, 0.0, 0.0, 9.0, 12.0, 4.0, 15.0, 5.0, 0.0, 0.0, 0.0, 16.0, 4.0, 0.0, 12.0, 4.0, 0.0, 0.0, 3.0, 15.0, 9.0, 3.0, 14.0, 1.0, 0.0, 0.0, 0.0, 2.0, 9.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 14.0, 15.0, 2.0, 0.0, 0.0, 0.0, 0.0, 10.0, 8.0, 14.0, 3.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 12.0, 0.0, 0.0], [0.0, 3.0, 15.0, 16.0, 14.0, 1.0, 0.0, 0.0, 0.0, 2.0, 12.0, 13.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 1.0, 15.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 2.0, 15.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 11.0, 8.0, 11.0, 3.0, 0.0, 0.0, 3.0, 16.0, 16.0, 16.0, 12.0, 3.0, 0.0], [0.0, 0.0, 7.0, 15.0, 14.0, 8.0, 0.0, 0.0, 0.0, 1.0, 15.0, 7.0, 5.0, 14.0, 5.0, 0.0, 0.0, 0.0, 15.0, 8.0, 0.0, 10.0, 7.0, 0.0, 0.0, 3.0, 16.0, 6.0, 0.0, 12.0, 8.0, 0.0, 0.0, 5.0, 16.0, 2.0, 0.0, 12.0, 8.0, 0.0, 0.0, 4.0, 16.0, 3.0, 1.0, 16.0, 4.0, 0.0, 0.0, 5.0, 16.0, 10.0, 14.0, 12.0, 0.0, 0.0, 0.0, 0.0, 8.0, 15.0, 15.0, 2.0, 0.0, 0.0], [0.0, 0.0, 14.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 3.0, 10.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 14.0, 16.0, 11.0, 6.0, 0.0, 0.0, 0.0, 12.0, 16.0, 16.0, 16.0, 16.0, 9.0], [0.0, 1.0, 12.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 7.0, 15.0, 14.0, 11.0, 0.0, 0.0, 0.0, 0.0, 8.0, 13.0, 10.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 12.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 8.0, 4.0, 0.0, 0.0, 0.0, 0.0, 13.0, 16.0, 16.0, 16.0, 9.0, 0.0, 0.0, 2.0, 16.0, 13.0, 11.0, 9.0, 3.0, 0.0], [0.0, 0.0, 0.0, 13.0, 13.0, 3.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 16.0, 14.0, 8.0, 1.0, 0.0, 0.0, 4.0, 16.0, 16.0, 6.0, 16.0, 9.0, 0.0, 0.0, 0.0, 8.0, 16.0, 11.0, 16.0, 10.0, 0.0, 0.0, 0.0, 1.0, 14.0, 16.0, 13.0, 1.0, 0.0], [0.0, 1.0, 8.0, 14.0, 15.0, 2.0, 0.0, 0.0, 0.0, 2.0, 13.0, 9.0, 14.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 9.0, 0.0, 0.0, 0.0, 0.0, 2.0, 13.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 15.0, 16.0, 6.0, 0.0, 0.0, 0.0, 1.0, 1.0, 0.0, 12.0, 14.0, 0.0, 0.0, 0.0, 5.0, 13.0, 5.0, 6.0, 16.0, 1.0, 0.0, 0.0, 1.0, 9.0, 12.0, 13.0, 9.0, 0.0, 0.0], [0.0, 0.0, 15.0, 16.0, 13.0, 6.0, 0.0, 0.0, 0.0, 0.0, 12.0, 12.0, 14.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 9.0, 0.0, 0.0, 0.0, 0.0, 1.0, 11.0, 15.0, 2.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 16.0, 12.0, 1.0, 0.0, 0.0, 1.0, 8.0, 4.0, 9.0, 16.0, 3.0, 0.0, 0.0, 5.0, 14.0, 7.0, 10.0, 15.0, 1.0, 0.0, 0.0, 2.0, 12.0, 16.0, 14.0, 6.0, 0.0, 0.0], [0.0, 0.0, 10.0, 16.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 5.0, 8.0, 13.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 13.0, 12.0, 0.0, 0.0, 0.0, 0.0, 2.0, 15.0, 16.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 13.0, 13.0, 5.0, 1.0, 0.0, 0.0, 0.0, 1.0, 14.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 13.0, 1.0, 0.0, 0.0, 0.0], [0.0, 0.0, 7.0, 16.0, 16.0, 16.0, 10.0, 0.0, 0.0, 0.0, 10.0, 10.0, 5.0, 12.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 7.0, 15.0, 6.0, 0.0, 0.0, 0.0, 1.0, 13.0, 16.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 12.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 6.0, 0.0, 0.0, 0.0, 2.0, 9.0, 11.0, 14.0, 1.0, 0.0, 0.0, 0.0, 5.0, 16.0, 15.0, 5.0, 0.0, 0.0], [0.0, 0.0, 8.0, 16.0, 16.0, 16.0, 3.0, 0.0, 0.0, 0.0, 6.0, 8.0, 8.0, 15.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 5.0, 0.0, 0.0, 0.0, 1.0, 10.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 16.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 13.0, 16.0, 5.0, 0.0, 0.0, 0.0, 7.0, 8.0, 11.0, 16.0, 2.0, 0.0, 0.0, 0.0, 6.0, 16.0, 16.0, 11.0, 0.0, 0.0], [0.0, 0.0, 0.0, 8.0, 15.0, 2.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 13.0, 6.0, 11.0, 0.0, 0.0, 0.0, 6.0, 16.0, 3.0, 13.0, 13.0, 2.0, 0.0, 0.0, 14.0, 16.0, 8.0, 15.0, 16.0, 10.0, 0.0, 0.0, 12.0, 16.0, 16.0, 16.0, 11.0, 1.0, 0.0, 0.0, 0.0, 1.0, 6.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 14.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 8.0, 13.0, 2.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 13.0, 3.0, 0.0, 0.0, 0.0, 1.0, 15.0, 14.0, 1.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 11.0, 4.0, 1.0, 0.0, 0.0, 0.0, 3.0, 16.0, 16.0, 14.0, 15.0, 2.0, 0.0, 0.0, 2.0, 16.0, 13.0, 1.0, 16.0, 9.0, 0.0, 0.0, 0.0, 9.0, 15.0, 9.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 13.0, 2.0, 0.0], [0.0, 0.0, 8.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 16.0, 9.0, 4.0, 0.0, 0.0, 0.0, 5.0, 16.0, 14.0, 11.0, 16.0, 5.0, 0.0, 0.0, 2.0, 16.0, 16.0, 0.0, 12.0, 8.0, 0.0, 0.0, 0.0, 15.0, 15.0, 1.0, 15.0, 6.0, 0.0, 0.0, 0.0, 7.0, 14.0, 16.0, 13.0, 1.0, 0.0], [0.0, 0.0, 1.0, 13.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 14.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 13.0, 8.0, 5.0, 0.0, 0.0, 0.0, 2.0, 15.0, 15.0, 12.0, 15.0, 5.0, 0.0, 0.0, 7.0, 16.0, 4.0, 0.0, 12.0, 8.0, 0.0, 0.0, 2.0, 15.0, 7.0, 0.0, 12.0, 6.0, 0.0, 0.0, 0.0, 5.0, 15.0, 5.0, 15.0, 5.0, 0.0, 0.0, 0.0, 0.0, 13.0, 16.0, 9.0, 0.0, 0.0], [0.0, 0.0, 0.0, 10.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 1.0, 14.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 3.0, 11.0, 7.0, 0.0, 0.0, 0.0, 12.0, 16.0, 8.0, 16.0, 9.0, 1.0, 0.0, 0.0, 10.0, 16.0, 16.0, 16.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 11.0, 0.0, 0.0, 0.0], [0.0, 0.0, 1.0, 7.0, 13.0, 10.0, 0.0, 0.0, 0.0, 2.0, 13.0, 14.0, 14.0, 16.0, 4.0, 0.0, 0.0, 4.0, 16.0, 5.0, 12.0, 16.0, 2.0, 0.0, 0.0, 0.0, 6.0, 11.0, 12.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 8.0, 0.0, 0.0, 1.0, 1.0, 0.0, 0.0, 13.0, 11.0, 0.0, 0.0, 0.0, 12.0, 8.0, 4.0, 13.0, 8.0, 0.0, 0.0, 0.0, 0.0, 7.0, 15.0, 16.0, 10.0, 0.0], [0.0, 0.0, 5.0, 12.0, 10.0, 4.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 16.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 16.0, 16.0, 16.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 16.0, 13.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 16.0, 12.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 8.0, 12.0, 12.0, 4.0, 0.0, 0.0], [0.0, 0.0, 7.0, 13.0, 8.0, 6.0, 0.0, 0.0, 0.0, 0.0, 16.0, 15.0, 16.0, 14.0, 10.0, 0.0, 0.0, 4.0, 16.0, 13.0, 1.0, 0.0, 0.0, 0.0, 0.0, 1.0, 10.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 11.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 3.0, 0.0, 0.0, 0.0], [0.0, 0.0, 2.0, 16.0, 15.0, 5.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 14.0, 15.0, 0.0, 0.0, 0.0, 0.0, 15.0, 10.0, 0.0, 16.0, 7.0, 0.0, 0.0, 4.0, 16.0, 1.0, 0.0, 12.0, 5.0, 0.0, 0.0, 4.0, 15.0, 0.0, 0.0, 12.0, 5.0, 0.0, 0.0, 5.0, 16.0, 6.0, 0.0, 16.0, 0.0, 0.0, 0.0, 0.0, 14.0, 13.0, 8.0, 15.0, 0.0, 0.0, 0.0, 0.0, 3.0, 14.0, 16.0, 6.0, 0.0, 0.0], [0.0, 0.0, 7.0, 13.0, 4.0, 1.0, 0.0, 0.0, 0.0, 1.0, 15.0, 13.0, 15.0, 11.0, 0.0, 0.0, 0.0, 7.0, 16.0, 1.0, 13.0, 16.0, 4.0, 0.0, 0.0, 3.0, 16.0, 12.0, 16.0, 16.0, 7.0, 0.0, 0.0, 0.0, 4.0, 11.0, 5.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 5.0, 0.0, 0.0, 0.0, 12.0, 6.0, 9.0, 14.0, 1.0, 0.0, 0.0, 0.0, 6.0, 13.0, 16.0, 5.0, 0.0, 0.0], [0.0, 2.0, 13.0, 13.0, 11.0, 9.0, 0.0, 0.0, 0.0, 10.0, 16.0, 16.0, 16.0, 15.0, 10.0, 0.0, 0.0, 11.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 15.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 11.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 11.0, 11.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 15.0, 4.0, 0.0, 0.0, 0.0], [0.0, 5.0, 16.0, 15.0, 5.0, 0.0, 0.0, 0.0, 0.0, 2.0, 12.0, 15.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 14.0, 2.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 16.0, 11.0, 8.0, 8.0, 3.0, 0.0, 0.0, 6.0, 16.0, 16.0, 16.0, 16.0, 7.0, 0.0], [0.0, 0.0, 11.0, 14.0, 10.0, 1.0, 0.0, 0.0, 0.0, 0.0, 16.0, 15.0, 14.0, 13.0, 0.0, 0.0, 0.0, 1.0, 14.0, 8.0, 3.0, 16.0, 2.0, 0.0, 0.0, 0.0, 7.0, 16.0, 13.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 12.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 1.0, 14.0, 16.0, 12.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 15.0, 16.0, 0.0, 0.0, 0.0, 0.0, 7.0, 14.0, 15.0, 11.0, 0.0, 0.0], [0.0, 4.0, 16.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0, 6.0, 14.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 16.0, 12.0, 10.0, 5.0, 0.0, 0.0, 3.0, 16.0, 16.0, 16.0, 16.0, 8.0, 0.0], [0.0, 0.0, 4.0, 12.0, 14.0, 5.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 16.0, 16.0, 3.0, 0.0, 0.0, 3.0, 16.0, 14.0, 2.0, 16.0, 7.0, 0.0, 0.0, 8.0, 16.0, 7.0, 0.0, 16.0, 6.0, 0.0, 0.0, 4.0, 16.0, 4.0, 3.0, 16.0, 4.0, 0.0, 0.0, 4.0, 16.0, 5.0, 10.0, 14.0, 0.0, 0.0, 0.0, 0.0, 14.0, 16.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 4.0, 14.0, 14.0, 2.0, 0.0, 0.0], [0.0, 0.0, 9.0, 9.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 15.0, 14.0, 12.0, 0.0, 0.0, 0.0, 3.0, 10.0, 1.0, 0.0, 12.0, 5.0, 0.0, 0.0, 5.0, 8.0, 0.0, 0.0, 8.0, 6.0, 0.0, 0.0, 8.0, 8.0, 0.0, 0.0, 8.0, 8.0, 0.0, 0.0, 5.0, 8.0, 0.0, 0.0, 10.0, 6.0, 0.0, 0.0, 4.0, 13.0, 4.0, 6.0, 13.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 14.0, 3.0, 0.0, 0.0], [0.0, 1.0, 13.0, 13.0, 10.0, 0.0, 0.0, 0.0, 0.0, 1.0, 13.0, 16.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 16.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 16.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 16.0, 13.0, 1.0, 0.0, 0.0, 0.0, 0.0, 15.0, 16.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 16.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 14.0, 16.0, 15.0, 8.0, 1.0, 0.0], [0.0, 0.0, 2.0, 15.0, 15.0, 4.0, 0.0, 0.0, 0.0, 0.0, 11.0, 10.0, 14.0, 9.0, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 11.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 15.0, 4.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 16.0, 14.0, 6.0, 0.0, 0.0, 0.0, 0.0, 8.0, 13.0, 6.0, 1.0, 0.0, 0.0, 0.0, 0.0, 9.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 15.0, 2.0, 0.0, 0.0, 0.0], [0.0, 0.0, 2.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 16.0, 16.0, 14.0, 2.0, 0.0, 0.0, 8.0, 16.0, 7.0, 4.0, 16.0, 8.0, 0.0, 0.0, 1.0, 16.0, 9.0, 6.0, 16.0, 4.0, 0.0, 0.0, 0.0, 3.0, 12.0, 16.0, 12.0, 0.0, 0.0], [0.0, 0.0, 6.0, 12.0, 16.0, 10.0, 0.0, 0.0, 0.0, 4.0, 15.0, 8.0, 12.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 14.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 15.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 15.0, 5.0, 0.0, 0.0, 0.0, 1.0, 4.0, 5.0, 15.0, 8.0, 0.0, 0.0, 0.0, 5.0, 16.0, 14.0, 9.0, 1.0, 0.0], [0.0, 0.0, 9.0, 16.0, 16.0, 13.0, 1.0, 0.0, 0.0, 0.0, 12.0, 13.0, 14.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 14.0, 1.0, 0.0, 0.0, 0.0, 1.0, 10.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 2.0, 15.0, 16.0, 12.0, 7.0, 0.0, 0.0, 0.0, 0.0, 9.0, 14.0, 16.0, 16.0, 2.0, 0.0], [0.0, 0.0, 2.0, 14.0, 15.0, 4.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 16.0, 11.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 14.0, 16.0, 14.0, 2.0, 0.0, 0.0, 0.0, 4.0, 16.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 3.0, 15.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 15.0, 13.0, 2.0, 0.0, 0.0], [0.0, 0.0, 5.0, 16.0, 16.0, 16.0, 9.0, 0.0, 0.0, 0.0, 1.0, 6.0, 4.0, 12.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 9.0, 0.0, 0.0, 0.0, 4.0, 6.0, 11.0, 16.0, 1.0, 0.0, 0.0, 0.0, 15.0, 16.0, 16.0, 16.0, 9.0, 0.0, 0.0, 0.0, 2.0, 10.0, 11.0, 0.0, 1.0, 0.0, 0.0, 0.0, 2.0, 15.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 10.0, 0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 1.0, 15.0, 4.0, 0.0, 0.0, 0.0, 0.0, 1.0, 13.0, 14.0, 1.0, 0.0, 0.0, 0.0, 0.0, 9.0, 15.0, 5.0, 7.0, 7.0, 0.0, 0.0, 4.0, 16.0, 6.0, 1.0, 16.0, 8.0, 0.0, 0.0, 14.0, 15.0, 0.0, 6.0, 16.0, 2.0, 0.0, 0.0, 11.0, 16.0, 13.0, 14.0, 16.0, 4.0, 0.0, 0.0, 0.0, 5.0, 8.0, 15.0, 14.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 12.0, 0.0, 0.0], [0.0, 0.0, 2.0, 13.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 16.0, 16.0, 11.0, 0.0, 0.0, 0.0, 3.0, 16.0, 10.0, 3.0, 15.0, 8.0, 0.0, 0.0, 0.0, 16.0, 8.0, 0.0, 13.0, 10.0, 0.0, 0.0, 0.0, 12.0, 15.0, 1.0, 15.0, 9.0, 0.0, 0.0, 0.0, 2.0, 11.0, 16.0, 16.0, 2.0, 0.0], [0.0, 1.0, 11.0, 14.0, 9.0, 1.0, 0.0, 0.0, 0.0, 3.0, 16.0, 8.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 1.0, 14.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 14.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 4.0, 0.0, 0.0, 1.0, 3.0, 1.0, 8.0, 16.0, 4.0, 0.0, 0.0, 3.0, 10.0, 16.0, 16.0, 8.0, 0.0, 0.0], [0.0, 0.0, 0.0, 12.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 10.0, 0.0, 0.0, 0.0], [0.0, 0.0, 10.0, 16.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 9.0, 8.0, 13.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 15.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 13.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 4.0, 0.0, 0.0, 0.0, 7.0, 3.0, 5.0, 16.0, 2.0, 0.0, 0.0, 0.0, 11.0, 16.0, 16.0, 10.0, 0.0, 0.0], [0.0, 0.0, 1.0, 9.0, 13.0, 11.0, 0.0, 0.0, 0.0, 0.0, 10.0, 11.0, 12.0, 16.0, 1.0, 0.0, 0.0, 0.0, 15.0, 4.0, 12.0, 16.0, 1.0, 0.0, 0.0, 0.0, 12.0, 16.0, 11.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 14.0, 0.0, 0.0, 0.0, 4.0, 12.0, 8.0, 10.0, 11.0, 0.0, 0.0, 0.0, 0.0, 2.0, 9.0, 16.0, 6.0, 0.0, 0.0], [0.0, 0.0, 4.0, 16.0, 15.0, 7.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 2.0, 12.0, 16.0, 3.0, 0.0, 0.0], [0.0, 0.0, 6.0, 16.0, 15.0, 2.0, 0.0, 0.0, 0.0, 0.0, 7.0, 13.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 1.0, 10.0, 16.0, 6.0, 1.0, 0.0, 0.0, 0.0, 9.0, 16.0, 16.0, 16.0, 8.0, 0.0, 0.0, 0.0, 1.0, 16.0, 8.0, 4.0, 0.0, 0.0, 0.0, 0.0, 5.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 7.0, 0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 11.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 15.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 14.0, 8.0, 1.0, 0.0, 0.0, 0.0, 5.0, 16.0, 10.0, 10.0, 14.0, 1.0, 0.0, 0.0, 2.0, 15.0, 3.0, 0.0, 12.0, 7.0, 0.0, 0.0, 0.0, 10.0, 13.0, 1.0, 10.0, 11.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 15.0, 5.0, 0.0], [0.0, 0.0, 2.0, 13.0, 15.0, 1.0, 0.0, 0.0, 0.0, 1.0, 14.0, 13.0, 15.0, 4.0, 0.0, 0.0, 0.0, 5.0, 14.0, 2.0, 15.0, 0.0, 0.0, 0.0, 0.0, 6.0, 14.0, 8.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 12.0, 1.0, 0.0, 0.0, 0.0, 0.0, 1.0, 15.0, 10.0, 13.0, 1.0, 0.0, 0.0, 0.0, 4.0, 13.0, 4.0, 13.0, 6.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 14.0, 1.0, 0.0], [0.0, 0.0, 0.0, 6.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 10.0, 1.0, 2.0, 0.0, 0.0, 0.0, 6.0, 16.0, 4.0, 12.0, 10.0, 0.0, 0.0, 0.0, 14.0, 11.0, 0.0, 16.0, 8.0, 0.0, 0.0, 4.0, 16.0, 16.0, 16.0, 16.0, 10.0, 0.0, 0.0, 1.0, 11.0, 12.0, 12.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 4.0, 0.0, 0.0], [0.0, 0.0, 7.0, 15.0, 15.0, 2.0, 0.0, 0.0, 0.0, 0.0, 13.0, 6.0, 12.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 15.0, 12.0, 0.0, 0.0, 0.0, 3.0, 7.0, 0.0, 2.0, 15.0, 1.0, 0.0, 0.0, 2.0, 15.0, 6.0, 6.0, 16.0, 1.0, 0.0, 0.0, 0.0, 4.0, 15.0, 16.0, 7.0, 0.0, 0.0], [0.0, 0.0, 4.0, 14.0, 11.0, 3.0, 0.0, 0.0, 0.0, 0.0, 1.0, 15.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 1.0, 14.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 15.0, 14.0, 4.0, 0.0, 0.0], [0.0, 0.0, 0.0, 1.0, 13.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 14.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 12.0, 0.0, 12.0, 7.0, 0.0, 0.0, 0.0, 12.0, 14.0, 6.0, 16.0, 14.0, 1.0, 0.0, 0.0, 6.0, 16.0, 16.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 14.0, 0.0, 0.0, 0.0], [0.0, 0.0, 7.0, 13.0, 8.0, 4.0, 0.0, 0.0, 0.0, 1.0, 15.0, 11.0, 9.0, 15.0, 2.0, 0.0, 0.0, 4.0, 16.0, 6.0, 0.0, 8.0, 7.0, 0.0, 0.0, 4.0, 10.0, 0.0, 0.0, 7.0, 8.0, 0.0, 0.0, 4.0, 10.0, 0.0, 0.0, 8.0, 8.0, 0.0, 0.0, 5.0, 12.0, 0.0, 0.0, 12.0, 5.0, 0.0, 0.0, 3.0, 15.0, 5.0, 9.0, 14.0, 2.0, 0.0, 0.0, 0.0, 8.0, 14.0, 12.0, 3.0, 0.0, 0.0], [0.0, 0.0, 13.0, 15.0, 11.0, 12.0, 11.0, 0.0, 0.0, 4.0, 16.0, 15.0, 16.0, 13.0, 9.0, 1.0, 0.0, 3.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 14.0, 1.0, 0.0, 0.0, 0.0, 1.0, 1.0, 7.0, 16.0, 2.0, 0.0, 0.0, 0.0, 8.0, 12.0, 11.0, 16.0, 3.0, 0.0, 0.0, 0.0, 1.0, 13.0, 16.0, 12.0, 0.0, 0.0, 0.0], [0.0, 0.0, 6.0, 12.0, 13.0, 12.0, 0.0, 0.0, 0.0, 0.0, 14.0, 12.0, 7.0, 16.0, 1.0, 0.0, 0.0, 0.0, 6.0, 6.0, 14.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 11.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 14.0, 1.0, 0.0, 0.0, 0.0, 10.0, 8.0, 3.0, 16.0, 1.0, 0.0, 0.0, 0.0, 4.0, 14.0, 16.0, 12.0, 0.0, 0.0], [0.0, 0.0, 0.0, 7.0, 13.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 14.0, 2.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 1.0, 11.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 16.0, 15.0, 12.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 1.0, 13.0, 7.0, 0.0, 0.0, 0.0, 4.0, 16.0, 6.0, 15.0, 5.0, 0.0, 0.0, 0.0, 0.0, 6.0, 14.0, 14.0, 1.0, 0.0], [0.0, 0.0, 2.0, 14.0, 13.0, 8.0, 0.0, 0.0, 0.0, 0.0, 12.0, 13.0, 12.0, 13.0, 0.0, 0.0, 0.0, 0.0, 11.0, 6.0, 6.0, 16.0, 4.0, 0.0, 0.0, 0.0, 5.0, 16.0, 15.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 2.0, 4.0, 11.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 9.0, 0.0, 0.0, 2.0, 13.0, 7.0, 1.0, 11.0, 10.0, 0.0, 0.0, 0.0, 2.0, 10.0, 15.0, 16.0, 2.0, 0.0], [0.0, 0.0, 1.0, 12.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 15.0, 5.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 12.0, 8.0, 14.0, 14.0, 3.0, 0.0, 0.0, 4.0, 16.0, 16.0, 9.0, 12.0, 8.0, 0.0, 0.0, 0.0, 13.0, 8.0, 0.0, 11.0, 8.0, 0.0, 0.0, 0.0, 1.0, 14.0, 16.0, 11.0, 1.0, 0.0], [0.0, 0.0, 1.0, 8.0, 10.0, 8.0, 3.0, 0.0, 0.0, 0.0, 1.0, 16.0, 16.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 14.0, 16.0, 16.0, 3.0, 0.0, 0.0, 0.0, 1.0, 16.0, 16.0, 15.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 15.0, 4.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 8.0, 8.0, 1.0, 0.0, 0.0], [0.0, 0.0, 12.0, 16.0, 14.0, 4.0, 0.0, 0.0, 0.0, 0.0, 8.0, 14.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 10.0, 0.0, 0.0, 0.0, 2.0, 15.0, 16.0, 16.0, 13.0, 3.0, 0.0, 0.0, 1.0, 8.0, 12.0, 15.0, 12.0, 4.0, 0.0, 0.0, 0.0, 2.0, 15.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 13.0, 0.0, 0.0, 0.0, 0.0], [0.0, 1.0, 15.0, 16.0, 16.0, 16.0, 5.0, 0.0, 0.0, 7.0, 16.0, 16.0, 12.0, 9.0, 1.0, 0.0, 0.0, 13.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 15.0, 11.0, 0.0, 0.0, 0.0, 0.0, 1.0, 4.0, 14.0, 12.0, 0.0, 0.0, 0.0, 0.0, 3.0, 15.0, 16.0, 6.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 8.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 15.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 10.0, 0.0, 1.0, 0.0, 0.0, 0.0, 4.0, 16.0, 4.0, 11.0, 11.0, 0.0, 0.0, 0.0, 11.0, 15.0, 2.0, 14.0, 10.0, 1.0, 0.0, 0.0, 13.0, 16.0, 16.0, 16.0, 13.0, 1.0, 0.0, 0.0, 0.0, 4.0, 12.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 9.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 5.0, 15.0, 4.0, 0.0, 0.0, 0.0, 0.0, 1.0, 15.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 14.0, 2.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 7.0, 7.0, 10.0, 0.0, 0.0, 0.0, 12.0, 16.0, 16.0, 16.0, 12.0, 0.0, 0.0, 0.0, 11.0, 12.0, 14.0, 16.0, 14.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 6.0, 0.0, 0.0], [0.0, 0.0, 5.0, 16.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 6.0, 9.0, 13.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 12.0, 0.0, 0.0, 0.0, 0.0, 1.0, 6.0, 13.0, 8.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 16.0, 15.0, 6.0, 0.0, 0.0, 0.0, 1.0, 11.0, 14.0, 8.0, 2.0, 0.0, 0.0, 0.0, 0.0, 13.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 2.0, 0.0, 0.0, 0.0], [0.0, 5.0, 16.0, 12.0, 1.0, 0.0, 0.0, 0.0, 0.0, 5.0, 14.0, 15.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 2.0, 14.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 9.0, 8.0, 8.0, 3.0, 0.0, 0.0, 8.0, 16.0, 16.0, 16.0, 16.0, 4.0, 0.0], [0.0, 0.0, 1.0, 8.0, 14.0, 14.0, 2.0, 0.0, 0.0, 1.0, 13.0, 16.0, 16.0, 16.0, 5.0, 0.0, 0.0, 7.0, 16.0, 10.0, 10.0, 16.0, 4.0, 0.0, 0.0, 3.0, 16.0, 14.0, 15.0, 12.0, 0.0, 0.0, 0.0, 0.0, 3.0, 12.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 15.0, 16.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 12.0, 2.0, 0.0], [0.0, 0.0, 4.0, 12.0, 16.0, 16.0, 4.0, 0.0, 0.0, 0.0, 9.0, 7.0, 4.0, 14.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 1.0, 13.0, 6.0, 0.0, 0.0, 0.0, 0.0, 1.0, 12.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 9.0, 5.0, 0.0, 0.0, 0.0, 0.0, 3.0, 12.0, 13.0, 9.0, 0.0, 0.0], [0.0, 0.0, 10.0, 15.0, 13.0, 1.0, 0.0, 0.0, 0.0, 4.0, 16.0, 7.0, 13.0, 7.0, 0.0, 0.0, 0.0, 2.0, 11.0, 0.0, 12.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 15.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 7.0, 7.0, 13.0, 3.0, 0.0, 0.0, 0.0, 10.0, 16.0, 12.0, 3.0, 0.0, 0.0], [0.0, 1.0, 13.0, 16.0, 16.0, 16.0, 12.0, 1.0, 0.0, 6.0, 16.0, 14.0, 12.0, 11.0, 5.0, 0.0, 0.0, 2.0, 15.0, 15.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 14.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 7.0, 10.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 15.0, 16.0, 10.0, 0.0, 0.0, 0.0], [0.0, 0.0, 6.0, 16.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 13.0, 12.0, 15.0, 10.0, 0.0, 0.0, 0.0, 0.0, 3.0, 6.0, 13.0, 9.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 16.0, 15.0, 6.0, 0.0, 0.0, 0.0, 1.0, 9.0, 14.0, 8.0, 5.0, 0.0, 0.0, 0.0, 0.0, 11.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 10.0, 0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 2.0, 10.0, 13.0, 12.0, 3.0, 0.0, 0.0, 0.0, 11.0, 13.0, 8.0, 16.0, 7.0, 0.0, 0.0, 0.0, 12.0, 9.0, 9.0, 16.0, 8.0, 0.0, 0.0, 0.0, 6.0, 10.0, 13.0, 14.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 8.0, 0.0, 0.0, 8.0, 1.0, 0.0, 0.0, 15.0, 2.0, 0.0, 0.0, 4.0, 14.0, 9.0, 4.0, 16.0, 0.0, 0.0, 0.0, 0.0, 2.0, 12.0, 16.0, 14.0, 0.0, 0.0], [0.0, 1.0, 12.0, 12.0, 15.0, 16.0, 7.0, 0.0, 0.0, 7.0, 16.0, 16.0, 13.0, 6.0, 1.0, 0.0, 0.0, 12.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 14.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 8.0, 0.0, 0.0, 0.0, 0.0, 5.0, 7.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 3.0, 15.0, 16.0, 5.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 9.0, 14.0, 1.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 14.0, 1.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 4.0, 2.0, 1.0, 0.0, 0.0, 0.0, 12.0, 13.0, 1.0, 14.0, 8.0, 1.0, 0.0, 1.0, 16.0, 16.0, 16.0, 16.0, 15.0, 3.0, 0.0, 0.0, 5.0, 8.0, 11.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 3.0, 0.0, 0.0], [0.0, 0.0, 1.0, 11.0, 14.0, 15.0, 3.0, 0.0, 0.0, 1.0, 13.0, 16.0, 12.0, 16.0, 8.0, 0.0, 0.0, 8.0, 16.0, 4.0, 6.0, 16.0, 5.0, 0.0, 0.0, 5.0, 15.0, 11.0, 13.0, 14.0, 0.0, 0.0, 0.0, 0.0, 2.0, 12.0, 16.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 16.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 16.0, 16.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 11.0, 13.0, 12.0, 1.0, 0.0], [0.0, 0.0, 6.0, 14.0, 16.0, 5.0, 0.0, 0.0, 0.0, 2.0, 16.0, 16.0, 16.0, 7.0, 0.0, 0.0, 0.0, 2.0, 15.0, 16.0, 15.0, 2.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 15.0, 7.0, 0.0, 0.0, 0.0, 0.0, 14.0, 10.0, 6.0, 16.0, 3.0, 0.0, 0.0, 1.0, 16.0, 3.0, 0.0, 16.0, 7.0, 0.0, 0.0, 0.0, 10.0, 11.0, 11.0, 15.0, 3.0, 0.0, 0.0, 0.0, 3.0, 14.0, 16.0, 6.0, 0.0, 0.0], [0.0, 0.0, 0.0, 4.0, 15.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 13.0, 1.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 4.0, 15.0, 8.0, 0.0, 5.0, 0.0, 0.0, 0.0, 11.0, 14.0, 1.0, 6.0, 16.0, 5.0, 0.0, 1.0, 16.0, 14.0, 12.0, 16.0, 16.0, 3.0, 0.0, 0.0, 10.0, 12.0, 10.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 2.0, 0.0, 0.0], [0.0, 0.0, 1.0, 9.0, 15.0, 11.0, 3.0, 0.0, 0.0, 0.0, 12.0, 9.0, 1.0, 11.0, 6.0, 0.0, 0.0, 0.0, 13.0, 7.0, 6.0, 16.0, 8.0, 0.0, 0.0, 0.0, 4.0, 10.0, 12.0, 15.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 6.0, 0.0, 0.0, 8.0, 7.0, 0.0, 0.0, 15.0, 5.0, 0.0, 0.0, 1.0, 12.0, 10.0, 4.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 13.0, 16.0, 8.0, 0.0, 0.0], [0.0, 0.0, 0.0, 14.0, 12.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 8.0, 14.0, 1.0, 0.0, 0.0, 0.0, 9.0, 11.0, 0.0, 13.0, 5.0, 0.0, 0.0, 2.0, 16.0, 8.0, 0.0, 8.0, 8.0, 0.0, 0.0, 5.0, 13.0, 0.0, 0.0, 8.0, 7.0, 0.0, 0.0, 6.0, 13.0, 0.0, 0.0, 11.0, 4.0, 0.0, 0.0, 0.0, 12.0, 10.0, 6.0, 14.0, 0.0, 0.0, 0.0, 0.0, 1.0, 11.0, 14.0, 7.0, 0.0, 0.0], [0.0, 0.0, 0.0, 10.0, 13.0, 5.0, 0.0, 0.0, 0.0, 3.0, 14.0, 16.0, 12.0, 15.0, 0.0, 0.0, 0.0, 10.0, 16.0, 8.0, 11.0, 16.0, 0.0, 0.0, 0.0, 8.0, 14.0, 5.0, 14.0, 9.0, 0.0, 0.0, 0.0, 0.0, 7.0, 14.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 14.0, 16.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 11.0, 0.0, 0.0], [0.0, 0.0, 4.0, 11.0, 12.0, 14.0, 0.0, 0.0, 0.0, 0.0, 15.0, 12.0, 14.0, 16.0, 4.0, 0.0, 0.0, 0.0, 16.0, 9.0, 16.0, 13.0, 3.0, 0.0, 0.0, 0.0, 5.0, 12.0, 11.0, 12.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 7.0, 0.0, 0.0, 6.0, 13.0, 4.0, 0.0, 14.0, 4.0, 0.0, 0.0, 0.0, 7.0, 13.0, 16.0, 14.0, 1.0, 0.0], [0.0, 0.0, 2.0, 8.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 15.0, 16.0, 2.0, 0.0, 0.0, 0.0, 6.0, 15.0, 11.0, 16.0, 4.0, 0.0, 0.0, 0.0, 5.0, 16.0, 10.0, 16.0, 1.0, 0.0, 0.0, 0.0, 2.0, 15.0, 16.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 12.0, 9.0, 3.0, 0.0, 0.0, 0.0, 4.0, 14.0, 0.0, 12.0, 14.0, 1.0, 0.0, 0.0, 1.0, 12.0, 10.0, 7.0, 0.0, 0.0], [0.0, 0.0, 10.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 11.0, 15.0, 6.0, 4.0, 1.0, 0.0, 0.0, 10.0, 16.0, 16.0, 16.0, 16.0, 10.0], [0.0, 1.0, 15.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 9.0, 16.0, 4.0, 0.0, 0.0, 0.0, 2.0, 12.0, 5.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 1.0, 15.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 13.0, 4.0, 4.0, 3.0, 0.0, 0.0, 2.0, 13.0, 16.0, 16.0, 16.0, 16.0, 2.0], [0.0, 0.0, 6.0, 13.0, 12.0, 2.0, 0.0, 0.0, 0.0, 0.0, 7.0, 7.0, 10.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 12.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 14.0, 1.0, 0.0, 0.0, 1.0, 7.0, 0.0, 0.0, 7.0, 11.0, 0.0, 0.0, 1.0, 16.0, 4.0, 0.0, 9.0, 11.0, 0.0, 0.0, 0.0, 5.0, 13.0, 12.0, 16.0, 3.0, 0.0], [0.0, 0.0, 0.0, 4.0, 15.0, 2.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 15.0, 1.0, 11.0, 9.0, 0.0, 0.0, 3.0, 14.0, 8.0, 0.0, 14.0, 10.0, 0.0, 0.0, 10.0, 16.0, 12.0, 12.0, 16.0, 8.0, 0.0, 0.0, 13.0, 16.0, 14.0, 15.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 9.0, 0.0, 0.0], [0.0, 0.0, 14.0, 12.0, 12.0, 13.0, 3.0, 0.0, 0.0, 0.0, 16.0, 8.0, 8.0, 6.0, 1.0, 0.0, 0.0, 0.0, 14.0, 7.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 15.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 13.0, 3.0, 6.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 13.0, 0.0, 0.0, 0.0, 0.0, 5.0, 4.0, 8.0, 12.0, 1.0, 0.0, 0.0, 1.0, 15.0, 15.0, 11.0, 3.0, 0.0, 0.0], [0.0, 0.0, 1.0, 10.0, 10.0, 0.0, 0.0, 0.0, 0.0, 1.0, 13.0, 10.0, 1.0, 0.0, 0.0, 0.0, 0.0, 4.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 11.0, 5.0, 10.0, 11.0, 1.0, 0.0, 0.0, 5.0, 16.0, 13.0, 6.0, 10.0, 8.0, 0.0, 0.0, 0.0, 10.0, 9.0, 0.0, 7.0, 11.0, 0.0, 0.0, 0.0, 1.0, 12.0, 16.0, 14.0, 2.0, 0.0], [0.0, 0.0, 3.0, 14.0, 8.0, 6.0, 4.0, 0.0, 0.0, 0.0, 11.0, 16.0, 16.0, 16.0, 15.0, 1.0, 0.0, 3.0, 16.0, 3.0, 2.0, 15.0, 6.0, 0.0, 0.0, 5.0, 8.0, 0.0, 9.0, 14.0, 0.0, 0.0, 0.0, 0.0, 7.0, 9.0, 15.0, 13.0, 4.0, 0.0, 0.0, 0.0, 10.0, 16.0, 16.0, 15.0, 3.0, 0.0, 0.0, 0.0, 0.0, 13.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 15.0, 2.0, 0.0, 0.0, 0.0], [0.0, 0.0, 7.0, 15.0, 14.0, 6.0, 0.0, 0.0, 0.0, 5.0, 16.0, 5.0, 10.0, 16.0, 4.0, 0.0, 0.0, 6.0, 15.0, 2.0, 10.0, 14.0, 1.0, 0.0, 0.0, 1.0, 13.0, 16.0, 14.0, 1.0, 0.0, 0.0, 0.0, 0.0, 10.0, 13.0, 15.0, 8.0, 0.0, 0.0, 0.0, 0.0, 15.0, 2.0, 3.0, 15.0, 6.0, 0.0, 0.0, 0.0, 15.0, 3.0, 8.0, 15.0, 6.0, 0.0, 0.0, 0.0, 6.0, 16.0, 11.0, 4.0, 0.0, 0.0], [0.0, 0.0, 7.0, 14.0, 9.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 5.0, 10.0, 7.0, 0.0, 0.0, 0.0, 0.0, 13.0, 2.0, 3.0, 13.0, 0.0, 0.0, 0.0, 0.0, 5.0, 15.0, 16.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 10.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 14.0, 0.0, 0.0, 0.0, 4.0, 2.0, 0.0, 0.0, 14.0, 3.0, 0.0, 0.0, 5.0, 15.0, 16.0, 16.0, 12.0, 1.0], [0.0, 0.0, 3.0, 13.0, 13.0, 3.0, 0.0, 0.0, 0.0, 0.0, 14.0, 8.0, 7.0, 15.0, 1.0, 0.0, 0.0, 3.0, 16.0, 0.0, 0.0, 9.0, 6.0, 0.0, 0.0, 6.0, 13.0, 0.0, 0.0, 4.0, 8.0, 0.0, 0.0, 4.0, 9.0, 0.0, 0.0, 4.0, 8.0, 0.0, 0.0, 1.0, 13.0, 0.0, 0.0, 5.0, 8.0, 0.0, 0.0, 0.0, 14.0, 7.0, 0.0, 11.0, 4.0, 0.0, 0.0, 0.0, 3.0, 15.0, 16.0, 14.0, 0.0, 0.0], [0.0, 0.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 5.0, 12.0, 16.0, 11.0, 8.0, 3.0, 0.0, 0.0, 12.0, 16.0, 16.0, 16.0, 16.0, 9.0], [0.0, 4.0, 16.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0, 8.0, 14.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 5.0, 8.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 15.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 3.0, 6.0, 9.0, 0.0, 0.0, 3.0, 15.0, 15.0, 8.0, 13.0, 15.0, 0.0, 0.0, 4.0, 15.0, 16.0, 16.0, 16.0, 7.0, 0.0], [0.0, 0.0, 9.0, 16.0, 10.0, 1.0, 0.0, 0.0, 0.0, 0.0, 8.0, 3.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 14.0, 2.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 15.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 15.0, 2.0, 0.0, 0.0, 4.0, 6.0, 0.0, 0.0, 13.0, 7.0, 0.0, 0.0, 6.0, 13.0, 1.0, 5.0, 16.0, 3.0, 0.0, 0.0, 0.0, 10.0, 16.0, 15.0, 5.0, 0.0, 0.0], [0.0, 0.0, 0.0, 2.0, 14.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 3.0, 9.0, 12.0, 0.0, 0.0, 1.0, 14.0, 8.0, 0.0, 15.0, 13.0, 0.0, 0.0, 11.0, 16.0, 10.0, 8.0, 16.0, 10.0, 0.0, 3.0, 16.0, 16.0, 16.0, 16.0, 15.0, 3.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 7.0, 0.0, 0.0], [0.0, 1.0, 12.0, 13.0, 13.0, 0.0, 0.0, 0.0, 0.0, 4.0, 11.0, 6.0, 3.0, 0.0, 0.0, 0.0, 0.0, 7.0, 11.0, 8.0, 6.0, 1.0, 0.0, 0.0, 0.0, 5.0, 15.0, 12.0, 13.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 8.0, 0.0, 0.0, 2.0, 10.0, 8.0, 7.0, 15.0, 3.0, 0.0, 0.0, 1.0, 13.0, 16.0, 12.0, 5.0, 0.0, 0.0], [0.0, 0.0, 1.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 12.0, 4.0, 11.0, 9.0, 1.0, 0.0, 0.0, 4.0, 16.0, 15.0, 8.0, 12.0, 7.0, 0.0, 0.0, 2.0, 14.0, 10.0, 3.0, 13.0, 7.0, 0.0, 0.0, 0.0, 2.0, 13.0, 16.0, 8.0, 1.0, 0.0], [0.0, 0.0, 6.0, 16.0, 16.0, 12.0, 3.0, 0.0, 0.0, 0.0, 13.0, 12.0, 10.0, 16.0, 2.0, 0.0, 0.0, 1.0, 16.0, 3.0, 10.0, 11.0, 0.0, 0.0, 0.0, 1.0, 7.0, 1.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 15.0, 4.0, 1.0, 0.0, 0.0, 0.0, 10.0, 16.0, 16.0, 16.0, 4.0, 0.0, 0.0, 0.0, 2.0, 16.0, 8.0, 3.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 3.0, 0.0, 0.0, 0.0], [0.0, 0.0, 7.0, 13.0, 11.0, 1.0, 0.0, 0.0, 0.0, 6.0, 14.0, 12.0, 14.0, 9.0, 0.0, 0.0, 0.0, 5.0, 14.0, 3.0, 10.0, 9.0, 0.0, 0.0, 0.0, 0.0, 8.0, 15.0, 14.0, 2.0, 0.0, 0.0, 0.0, 0.0, 1.0, 14.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 9.0, 9.0, 3.0, 15.0, 4.0, 0.0, 0.0, 0.0, 12.0, 5.0, 1.0, 11.0, 8.0, 0.0, 0.0, 0.0, 7.0, 16.0, 16.0, 9.0, 1.0, 0.0], [0.0, 0.0, 7.0, 14.0, 10.0, 0.0, 0.0, 0.0, 0.0, 7.0, 15.0, 4.0, 9.0, 11.0, 0.0, 0.0, 0.0, 9.0, 13.0, 0.0, 7.0, 16.0, 0.0, 0.0, 0.0, 3.0, 15.0, 16.0, 16.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 4.0, 4.0, 12.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 12.0, 0.0, 0.0, 0.0, 11.0, 5.0, 0.0, 7.0, 13.0, 0.0, 0.0, 0.0, 5.0, 13.0, 16.0, 14.0, 6.0, 0.0], [0.0, 0.0, 6.0, 14.0, 13.0, 3.0, 0.0, 0.0, 0.0, 0.0, 14.0, 10.0, 7.0, 13.0, 0.0, 0.0, 0.0, 4.0, 13.0, 0.0, 0.0, 12.0, 3.0, 0.0, 0.0, 5.0, 11.0, 0.0, 0.0, 7.0, 6.0, 0.0, 0.0, 4.0, 11.0, 0.0, 0.0, 4.0, 8.0, 0.0, 0.0, 2.0, 12.0, 0.0, 0.0, 6.0, 6.0, 0.0, 0.0, 0.0, 12.0, 8.0, 2.0, 14.0, 2.0, 0.0, 0.0, 0.0, 4.0, 15.0, 16.0, 9.0, 0.0, 0.0], [0.0, 0.0, 11.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 15.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 13.0, 15.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 3.0, 3.0, 15.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 10.0, 16.0, 6.0, 3.0, 0.0, 0.0, 0.0, 7.0, 16.0, 16.0, 16.0, 16.0, 5.0], [0.0, 2.0, 13.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 12.0, 15.0, 9.0, 16.0, 2.0, 0.0, 0.0, 0.0, 10.0, 8.0, 1.0, 16.0, 6.0, 0.0, 0.0, 0.0, 1.0, 1.0, 2.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 15.0, 2.0, 0.0, 0.0, 0.0, 0.0, 2.0, 15.0, 9.0, 0.0, 0.0, 0.0, 0.0, 2.0, 15.0, 16.0, 9.0, 8.0, 6.0, 0.0, 0.0, 1.0, 13.0, 16.0, 16.0, 16.0, 16.0, 3.0], [0.0, 2.0, 13.0, 16.0, 15.0, 1.0, 0.0, 0.0, 0.0, 7.0, 13.0, 10.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 1.0, 4.0, 10.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 9.0, 0.0, 0.0, 2.0, 12.0, 6.0, 6.0, 16.0, 6.0, 0.0, 0.0, 1.0, 15.0, 16.0, 16.0, 9.0, 1.0, 0.0], [0.0, 0.0, 0.0, 2.0, 15.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 15.0, 2.0, 5.0, 0.0, 0.0, 0.0, 5.0, 16.0, 6.0, 6.0, 16.0, 0.0, 0.0, 2.0, 16.0, 10.0, 4.0, 13.0, 13.0, 0.0, 0.0, 13.0, 16.0, 16.0, 16.0, 16.0, 10.0, 0.0, 0.0, 6.0, 4.0, 4.0, 11.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 7.0, 0.0, 0.0], [0.0, 0.0, 9.0, 12.0, 14.0, 2.0, 0.0, 0.0, 0.0, 0.0, 12.0, 6.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 1.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 16.0, 12.0, 0.0, 0.0, 0.0, 0.0, 4.0, 4.0, 0.0, 12.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 12.0, 0.0, 0.0, 0.0, 9.0, 7.0, 4.0, 10.0, 11.0, 0.0, 0.0, 0.0, 9.0, 14.0, 16.0, 14.0, 5.0, 0.0], [0.0, 0.0, 3.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 10.0, 11.0, 16.0, 14.0, 1.0, 0.0, 0.0, 2.0, 16.0, 10.0, 4.0, 7.0, 10.0, 0.0, 0.0, 0.0, 15.0, 8.0, 2.0, 12.0, 8.0, 0.0, 0.0, 0.0, 3.0, 12.0, 16.0, 8.0, 0.0, 0.0], [0.0, 0.0, 3.0, 14.0, 13.0, 12.0, 14.0, 0.0, 0.0, 0.0, 11.0, 14.0, 12.0, 15.0, 9.0, 0.0, 0.0, 0.0, 16.0, 5.0, 3.0, 16.0, 2.0, 0.0, 0.0, 1.0, 9.0, 1.0, 10.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 14.0, 6.0, 0.0, 0.0, 0.0, 4.0, 16.0, 16.0, 11.0, 1.0, 0.0, 0.0, 0.0, 0.0, 15.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 13.0, 0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 10.0, 14.0, 10.0, 1.0, 0.0, 0.0, 0.0, 4.0, 14.0, 6.0, 13.0, 7.0, 0.0, 0.0, 0.0, 6.0, 12.0, 0.0, 7.0, 7.0, 0.0, 0.0, 0.0, 1.0, 16.0, 10.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 15.0, 3.0, 0.0, 0.0, 0.0, 0.0, 13.0, 6.0, 6.0, 15.0, 5.0, 0.0, 0.0, 3.0, 15.0, 0.0, 4.0, 12.0, 7.0, 0.0, 0.0, 0.0, 12.0, 16.0, 15.0, 8.0, 0.0, 0.0], [0.0, 1.0, 10.0, 15.0, 15.0, 3.0, 0.0, 0.0, 0.0, 6.0, 13.0, 4.0, 10.0, 12.0, 0.0, 0.0, 0.0, 4.0, 11.0, 0.0, 7.0, 15.0, 0.0, 0.0, 0.0, 2.0, 14.0, 16.0, 16.0, 14.0, 2.0, 0.0, 0.0, 0.0, 1.0, 4.0, 3.0, 10.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 12.0, 0.0, 0.0, 0.0, 3.0, 3.0, 0.0, 2.0, 13.0, 0.0, 0.0, 0.0, 10.0, 16.0, 16.0, 16.0, 11.0, 0.0], [0.0, 0.0, 3.0, 15.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 8.0, 11.0, 5.0, 0.0, 0.0, 0.0, 3.0, 16.0, 3.0, 1.0, 14.0, 2.0, 0.0, 0.0, 5.0, 12.0, 0.0, 0.0, 12.0, 4.0, 0.0, 0.0, 2.0, 12.0, 0.0, 0.0, 6.0, 8.0, 0.0, 0.0, 2.0, 14.0, 0.0, 0.0, 12.0, 5.0, 0.0, 0.0, 0.0, 12.0, 8.0, 5.0, 15.0, 0.0, 0.0, 0.0, 0.0, 1.0, 13.0, 14.0, 5.0, 0.0, 0.0], [0.0, 0.0, 9.0, 15.0, 14.0, 8.0, 0.0, 0.0, 0.0, 6.0, 16.0, 4.0, 2.0, 16.0, 3.0, 0.0, 0.0, 5.0, 16.0, 5.0, 5.0, 16.0, 4.0, 0.0, 0.0, 0.0, 9.0, 16.0, 16.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 8.0, 0.0, 0.0, 2.0, 10.0, 2.0, 1.0, 12.0, 6.0, 0.0, 0.0, 1.0, 13.0, 14.0, 14.0, 11.0, 1.0, 0.0], [0.0, 1.0, 10.0, 12.0, 12.0, 11.0, 0.0, 0.0, 0.0, 7.0, 14.0, 8.0, 8.0, 6.0, 0.0, 0.0, 0.0, 7.0, 11.0, 7.0, 3.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 13.0, 13.0, 8.0, 0.0, 0.0, 0.0, 1.0, 3.0, 0.0, 1.0, 14.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 12.0, 0.0, 0.0, 0.0, 11.0, 3.0, 0.0, 10.0, 12.0, 0.0, 0.0, 0.0, 10.0, 16.0, 16.0, 14.0, 4.0, 0.0], [0.0, 0.0, 10.0, 12.0, 12.0, 15.0, 4.0, 0.0, 0.0, 0.0, 16.0, 8.0, 8.0, 5.0, 3.0, 0.0, 0.0, 4.0, 15.0, 8.0, 6.0, 0.0, 0.0, 0.0, 0.0, 6.0, 15.0, 12.0, 14.0, 8.0, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 2.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 3.0, 0.0, 0.0, 0.0, 11.0, 4.0, 8.0, 15.0, 3.0, 0.0, 0.0, 0.0, 10.0, 16.0, 15.0, 5.0, 0.0, 0.0], [0.0, 0.0, 1.0, 11.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 15.0, 5.0, 0.0, 0.0, 0.0, 0.0, 3.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 15.0, 15.0, 16.0, 14.0, 3.0, 0.0, 0.0, 2.0, 16.0, 11.0, 2.0, 7.0, 12.0, 0.0, 0.0, 0.0, 14.0, 11.0, 4.0, 9.0, 13.0, 0.0, 0.0, 0.0, 2.0, 11.0, 16.0, 15.0, 6.0, 0.0], [0.0, 3.0, 12.0, 12.0, 14.0, 4.0, 0.0, 0.0, 0.0, 1.0, 13.0, 4.0, 4.0, 0.0, 0.0, 0.0, 0.0, 4.0, 14.0, 4.0, 3.0, 0.0, 0.0, 0.0, 0.0, 5.0, 13.0, 12.0, 14.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 8.0, 0.0, 0.0, 0.0, 6.0, 2.0, 0.0, 8.0, 8.0, 0.0, 0.0, 2.0, 13.0, 16.0, 16.0, 16.0, 2.0, 0.0], [0.0, 0.0, 6.0, 14.0, 11.0, 1.0, 0.0, 0.0, 0.0, 0.0, 15.0, 5.0, 6.0, 15.0, 0.0, 0.0, 0.0, 4.0, 16.0, 0.0, 0.0, 9.0, 3.0, 0.0, 0.0, 8.0, 9.0, 0.0, 0.0, 4.0, 8.0, 0.0, 0.0, 7.0, 8.0, 0.0, 0.0, 4.0, 8.0, 0.0, 0.0, 4.0, 8.0, 0.0, 0.0, 9.0, 4.0, 0.0, 0.0, 1.0, 13.0, 2.0, 3.0, 14.0, 0.0, 0.0, 0.0, 0.0, 5.0, 14.0, 15.0, 4.0, 0.0, 0.0], [0.0, 0.0, 6.0, 14.0, 15.0, 7.0, 0.0, 0.0, 0.0, 3.0, 15.0, 6.0, 2.0, 14.0, 3.0, 0.0, 0.0, 4.0, 13.0, 0.0, 1.0, 16.0, 4.0, 0.0, 0.0, 0.0, 10.0, 11.0, 9.0, 16.0, 6.0, 0.0, 0.0, 0.0, 1.0, 8.0, 10.0, 14.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 11.0, 0.0, 0.0, 1.0, 12.0, 5.0, 0.0, 10.0, 11.0, 0.0, 0.0, 0.0, 7.0, 13.0, 16.0, 16.0, 4.0, 0.0], [0.0, 0.0, 7.0, 14.0, 15.0, 4.0, 0.0, 0.0, 0.0, 7.0, 15.0, 4.0, 9.0, 12.0, 0.0, 0.0, 0.0, 6.0, 15.0, 1.0, 4.0, 14.0, 0.0, 0.0, 0.0, 0.0, 9.0, 13.0, 14.0, 7.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 14.0, 7.0, 3.0, 15.0, 4.0, 0.0, 0.0, 0.0, 16.0, 3.0, 0.0, 13.0, 8.0, 0.0, 0.0, 0.0, 7.0, 16.0, 16.0, 10.0, 1.0, 0.0], [0.0, 0.0, 7.0, 13.0, 10.0, 1.0, 0.0, 0.0, 0.0, 1.0, 15.0, 3.0, 9.0, 10.0, 0.0, 0.0, 0.0, 3.0, 16.0, 4.0, 13.0, 11.0, 0.0, 0.0, 0.0, 0.0, 6.0, 12.0, 12.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 11.0, 0.0, 0.0, 1.0, 11.0, 2.0, 0.0, 7.0, 11.0, 0.0, 0.0, 0.0, 7.0, 13.0, 16.0, 15.0, 4.0, 0.0], [0.0, 0.0, 1.0, 11.0, 15.0, 6.0, 0.0, 0.0, 0.0, 2.0, 15.0, 10.0, 16.0, 15.0, 0.0, 0.0, 0.0, 1.0, 14.0, 5.0, 6.0, 11.0, 0.0, 0.0, 0.0, 0.0, 5.0, 14.0, 14.0, 3.0, 0.0, 0.0, 0.0, 0.0, 1.0, 14.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 10.0, 8.0, 6.0, 15.0, 1.0, 0.0, 0.0, 0.0, 9.0, 9.0, 4.0, 16.0, 3.0, 0.0, 0.0, 0.0, 1.0, 15.0, 15.0, 6.0, 0.0, 0.0], [0.0, 0.0, 0.0, 7.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 2.0, 0.0, 3.0, 1.0, 0.0, 0.0, 8.0, 10.0, 0.0, 2.0, 16.0, 2.0, 0.0, 1.0, 15.0, 4.0, 3.0, 9.0, 12.0, 0.0, 0.0, 8.0, 16.0, 16.0, 16.0, 16.0, 6.0, 0.0, 0.0, 1.0, 4.0, 3.0, 9.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 10.0, 0.0, 0.0, 0.0], [0.0, 0.0, 3.0, 15.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 13.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 4.0, 0.0, 0.0, 0.0, 3.0, 9.0, 13.0, 16.0, 12.0, 5.0, 0.0, 0.0, 3.0, 15.0, 16.0, 16.0, 16.0, 16.0], [0.0, 0.0, 7.0, 16.0, 14.0, 13.0, 10.0, 0.0, 0.0, 0.0, 10.0, 12.0, 10.0, 16.0, 4.0, 0.0, 0.0, 0.0, 15.0, 5.0, 8.0, 13.0, 0.0, 0.0, 0.0, 1.0, 7.0, 1.0, 16.0, 3.0, 0.0, 0.0, 0.0, 2.0, 11.0, 13.0, 16.0, 12.0, 6.0, 0.0, 0.0, 4.0, 12.0, 15.0, 14.0, 11.0, 2.0, 0.0, 0.0, 0.0, 3.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 13.0, 0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 15.0, 16.0, 16.0, 12.0, 4.0, 0.0, 0.0, 4.0, 14.0, 0.0, 10.0, 12.0, 0.0, 0.0, 0.0, 8.0, 7.0, 1.0, 15.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 12.0, 0.0, 0.0, 0.0, 0.0, 1.0, 8.0, 14.0, 12.0, 3.0, 0.0, 0.0, 0.0, 6.0, 13.0, 16.0, 13.0, 2.0, 0.0, 0.0, 0.0, 0.0, 10.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 2.0, 0.0, 0.0, 0.0], [0.0, 1.0, 10.0, 16.0, 15.0, 1.0, 0.0, 0.0, 0.0, 3.0, 15.0, 10.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 1.0, 11.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 16.0, 15.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 11.0, 15.0, 1.0, 0.0, 0.0, 8.0, 3.0, 0.0, 3.0, 16.0, 7.0, 0.0, 0.0, 13.0, 15.0, 6.0, 8.0, 16.0, 6.0, 0.0, 0.0, 0.0, 12.0, 16.0, 16.0, 7.0, 0.0, 0.0], [0.0, 3.0, 16.0, 16.0, 16.0, 2.0, 0.0, 0.0, 0.0, 4.0, 14.0, 10.0, 5.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 16.0, 10.0, 3.0, 0.0, 0.0, 0.0, 4.0, 15.0, 12.0, 14.0, 13.0, 0.0, 0.0, 0.0, 0.0, 2.0, 0.0, 1.0, 15.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 13.0, 0.0, 0.0, 3.0, 16.0, 10.0, 7.0, 9.0, 16.0, 0.0, 0.0, 3.0, 13.0, 15.0, 16.0, 16.0, 8.0, 0.0], [0.0, 0.0, 10.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 13.0, 1.0, 0.0, 0.0, 0.0, 0.0, 1.0, 5.0, 14.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 11.0, 0.0, 0.0, 0.0, 0.0, 8.0, 12.0, 9.0, 16.0, 6.0, 4.0, 0.0, 0.0, 7.0, 16.0, 16.0, 16.0, 16.0, 14.0], [0.0, 3.0, 15.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 12.0, 13.0, 11.0, 16.0, 0.0, 0.0, 0.0, 0.0, 12.0, 5.0, 4.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 0.0, 0.0, 0.0, 0.0, 1.0, 12.0, 16.0, 14.0, 8.0, 5.0, 0.0, 0.0, 2.0, 13.0, 16.0, 16.0, 16.0, 16.0, 2.0], [0.0, 0.0, 7.0, 16.0, 16.0, 16.0, 8.0, 0.0, 0.0, 0.0, 10.0, 12.0, 10.0, 16.0, 2.0, 0.0, 0.0, 0.0, 13.0, 6.0, 7.0, 13.0, 0.0, 0.0, 0.0, 0.0, 10.0, 1.0, 13.0, 5.0, 0.0, 0.0, 0.0, 0.0, 9.0, 10.0, 16.0, 8.0, 3.0, 0.0, 0.0, 1.0, 12.0, 15.0, 16.0, 16.0, 5.0, 0.0, 0.0, 0.0, 1.0, 16.0, 2.0, 3.0, 0.0, 0.0, 0.0, 0.0, 9.0, 14.0, 0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 7.0, 14.0, 12.0, 1.0, 0.0, 0.0, 0.0, 7.0, 14.0, 5.0, 8.0, 10.0, 0.0, 0.0, 0.0, 8.0, 11.0, 1.0, 7.0, 10.0, 0.0, 0.0, 0.0, 1.0, 9.0, 16.0, 15.0, 4.0, 0.0, 0.0, 0.0, 0.0, 1.0, 14.0, 14.0, 12.0, 0.0, 0.0, 0.0, 0.0, 7.0, 11.0, 0.0, 12.0, 7.0, 0.0, 0.0, 0.0, 11.0, 5.0, 0.0, 11.0, 8.0, 0.0, 0.0, 0.0, 4.0, 14.0, 16.0, 12.0, 1.0, 0.0], [0.0, 1.0, 13.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 12.0, 15.0, 3.0, 0.0, 0.0, 0.0, 0.0, 9.0, 6.0, 15.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 4.0, 1.0, 0.0, 0.0, 0.0, 9.0, 16.0, 16.0, 6.0, 16.0, 5.0, 0.0, 0.0, 8.0, 12.0, 13.0, 16.0, 16.0, 11.0], [0.0, 0.0, 3.0, 12.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 12.0, 11.0, 13.0, 0.0, 0.0, 0.0, 2.0, 15.0, 2.0, 0.0, 12.0, 5.0, 0.0, 0.0, 4.0, 8.0, 0.0, 0.0, 6.0, 8.0, 0.0, 0.0, 8.0, 7.0, 0.0, 0.0, 4.0, 8.0, 0.0, 0.0, 7.0, 7.0, 0.0, 0.0, 9.0, 7.0, 0.0, 0.0, 3.0, 13.0, 4.0, 7.0, 16.0, 2.0, 0.0, 0.0, 0.0, 6.0, 16.0, 15.0, 5.0, 0.0, 0.0], [0.0, 0.0, 8.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 6.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 7.0, 0.0, 0.0, 0.0, 0.0, 4.0, 8.0, 14.0, 14.0, 8.0, 4.0, 0.0, 0.0, 9.0, 16.0, 16.0, 16.0, 16.0, 13.0], [0.0, 0.0, 11.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 11.0, 15.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 5.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 2.0, 2.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 14.0, 7.0, 6.0, 0.0, 0.0, 0.0, 13.0, 14.0, 14.0, 16.0, 16.0, 6.0], [0.0, 0.0, 2.0, 12.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 10.0, 1.0, 0.0, 0.0, 0.0, 0.0, 4.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 9.0, 5.0, 11.0, 8.0, 0.0, 0.0, 0.0, 4.0, 16.0, 14.0, 6.0, 12.0, 5.0, 0.0, 0.0, 0.0, 13.0, 7.0, 0.0, 10.0, 8.0, 0.0, 0.0, 0.0, 3.0, 14.0, 16.0, 16.0, 5.0, 0.0], [0.0, 0.0, 8.0, 15.0, 11.0, 1.0, 0.0, 0.0, 0.0, 0.0, 10.0, 4.0, 10.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 13.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 8.0, 15.0, 1.0, 0.0, 0.0, 1.0, 1.0, 0.0, 0.0, 9.0, 7.0, 0.0, 0.0, 4.0, 13.0, 5.0, 3.0, 10.0, 8.0, 0.0, 0.0, 0.0, 7.0, 14.0, 16.0, 15.0, 2.0, 0.0], [0.0, 0.0, 8.0, 12.0, 13.0, 5.0, 0.0, 0.0, 0.0, 4.0, 13.0, 4.0, 9.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 13.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 15.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 15.0, 2.0, 0.0, 0.0, 7.0, 8.0, 0.0, 0.0, 12.0, 7.0, 0.0, 0.0, 8.0, 9.0, 1.0, 3.0, 16.0, 3.0, 0.0, 0.0, 0.0, 10.0, 16.0, 16.0, 6.0, 0.0, 0.0], [0.0, 0.0, 4.0, 15.0, 16.0, 16.0, 16.0, 1.0, 0.0, 0.0, 10.0, 13.0, 8.0, 15.0, 8.0, 0.0, 0.0, 0.0, 14.0, 5.0, 3.0, 16.0, 2.0, 0.0, 0.0, 0.0, 1.0, 0.0, 12.0, 11.0, 0.0, 0.0, 0.0, 0.0, 2.0, 5.0, 16.0, 9.0, 1.0, 0.0, 0.0, 0.0, 15.0, 16.0, 16.0, 14.0, 3.0, 0.0, 0.0, 0.0, 1.0, 15.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 14.0, 2.0, 0.0, 0.0, 0.0], [0.0, 0.0, 1.0, 14.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 2.0, 10.0, 5.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 7.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 14.0, 4.0, 0.0, 0.0, 0.0, 13.0, 0.0, 0.0, 4.0, 12.0, 0.0, 0.0, 0.0, 13.0, 6.0, 4.0, 8.0, 13.0, 0.0, 0.0, 0.0, 0.0, 12.0, 16.0, 15.0, 6.0, 0.0], [0.0, 0.0, 7.0, 16.0, 12.0, 1.0, 0.0, 0.0, 0.0, 0.0, 16.0, 11.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 3.0, 9.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 16.0, 15.0, 1.0, 0.0, 0.0, 0.0, 1.0, 2.0, 5.0, 14.0, 8.0, 0.0, 0.0, 5.0, 14.0, 0.0, 0.0, 9.0, 15.0, 0.0, 0.0, 4.0, 16.0, 7.0, 6.0, 13.0, 14.0, 0.0, 0.0, 0.0, 7.0, 16.0, 16.0, 16.0, 4.0, 0.0], [0.0, 0.0, 0.0, 0.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 8.0, 0.0, 8.0, 0.0, 0.0, 0.0, 4.0, 13.0, 2.0, 2.0, 14.0, 0.0, 0.0, 2.0, 14.0, 12.0, 7.0, 8.0, 10.0, 0.0, 0.0, 9.0, 16.0, 16.0, 16.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 8.0, 0.0, 0.0], [0.0, 0.0, 1.0, 9.0, 13.0, 1.0, 0.0, 0.0, 0.0, 1.0, 12.0, 14.0, 5.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 15.0, 0.0, 3.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 16.0, 16.0, 15.0, 3.0, 0.0, 0.0, 2.0, 16.0, 11.0, 1.0, 9.0, 11.0, 0.0, 0.0, 0.0, 11.0, 13.0, 6.0, 12.0, 11.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 15.0, 2.0, 0.0], [0.0, 0.0, 2.0, 14.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 15.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 12.0, 1.0, 4.0, 6.0, 0.0, 0.0, 0.0, 7.0, 16.0, 16.0, 15.0, 15.0, 8.0, 0.0, 0.0, 0.0, 16.0, 13.0, 0.0, 4.0, 12.0, 0.0, 0.0, 0.0, 10.0, 12.0, 4.0, 8.0, 15.0, 0.0, 0.0, 0.0, 2.0, 11.0, 16.0, 15.0, 5.0, 0.0], [0.0, 0.0, 1.0, 11.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 14.0, 12.0, 12.0, 7.0, 0.0, 0.0, 0.0, 0.0, 16.0, 12.0, 5.0, 11.0, 10.0, 0.0, 0.0, 0.0, 10.0, 11.0, 4.0, 10.0, 12.0, 0.0, 0.0, 0.0, 1.0, 12.0, 16.0, 12.0, 3.0, 0.0], [0.0, 0.0, 0.0, 3.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 13.0, 3.0, 8.0, 0.0, 0.0, 0.0, 1.0, 16.0, 5.0, 9.0, 16.0, 0.0, 0.0, 2.0, 12.0, 14.0, 5.0, 15.0, 9.0, 0.0, 0.0, 12.0, 16.0, 16.0, 16.0, 16.0, 7.0, 0.0, 0.0, 5.0, 5.0, 6.0, 14.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 13.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 4.0, 0.0, 0.0], [0.0, 0.0, 5.0, 15.0, 14.0, 3.0, 0.0, 0.0, 0.0, 2.0, 14.0, 7.0, 4.0, 13.0, 0.0, 0.0, 0.0, 2.0, 15.0, 5.0, 5.0, 16.0, 1.0, 0.0, 0.0, 0.0, 7.0, 15.0, 16.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 1.0, 3.0, 7.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 14.0, 0.0, 0.0, 0.0, 8.0, 9.0, 4.0, 2.0, 16.0, 1.0, 0.0, 0.0, 4.0, 11.0, 13.0, 16.0, 11.0, 0.0], [0.0, 0.0, 5.0, 15.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 2.0, 9.0, 14.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 13.0, 0.0, 0.0, 0.0, 0.0, 2.0, 10.0, 12.0, 16.0, 4.0, 4.0, 0.0, 0.0, 4.0, 15.0, 16.0, 16.0, 16.0, 16.0], [0.0, 0.0, 12.0, 12.0, 14.0, 15.0, 1.0, 0.0, 0.0, 1.0, 15.0, 11.0, 6.0, 5.0, 0.0, 0.0, 0.0, 6.0, 15.0, 12.0, 4.0, 0.0, 0.0, 0.0, 0.0, 6.0, 11.0, 8.0, 13.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 3.0, 0.0, 0.0, 2.0, 6.0, 1.0, 6.0, 14.0, 3.0, 0.0, 0.0, 1.0, 11.0, 16.0, 13.0, 8.0, 0.0, 0.0], [0.0, 0.0, 8.0, 14.0, 11.0, 2.0, 0.0, 0.0, 0.0, 6.0, 16.0, 7.0, 6.0, 13.0, 1.0, 0.0, 0.0, 8.0, 11.0, 0.0, 0.0, 10.0, 4.0, 0.0, 0.0, 7.0, 8.0, 0.0, 0.0, 5.0, 7.0, 0.0, 0.0, 8.0, 4.0, 0.0, 0.0, 7.0, 8.0, 0.0, 0.0, 2.0, 10.0, 0.0, 0.0, 7.0, 10.0, 0.0, 0.0, 0.0, 14.0, 3.0, 4.0, 15.0, 3.0, 0.0, 0.0, 0.0, 5.0, 16.0, 16.0, 7.0, 0.0, 0.0], [0.0, 0.0, 8.0, 16.0, 11.0, 1.0, 0.0, 0.0, 0.0, 0.0, 14.0, 2.0, 5.0, 9.0, 0.0, 0.0, 0.0, 0.0, 14.0, 1.0, 5.0, 12.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 16.0, 14.0, 1.0, 0.0, 0.0, 0.0, 0.0, 3.0, 7.0, 10.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 12.0, 0.0, 0.0, 0.0, 6.0, 1.0, 0.0, 2.0, 14.0, 0.0, 0.0, 0.0, 9.0, 16.0, 16.0, 16.0, 12.0, 0.0], [0.0, 0.0, 12.0, 9.0, 9.0, 8.0, 1.0, 0.0, 0.0, 2.0, 15.0, 8.0, 8.0, 8.0, 2.0, 0.0, 0.0, 8.0, 12.0, 8.0, 5.0, 0.0, 0.0, 0.0, 0.0, 8.0, 15.0, 9.0, 14.0, 9.0, 0.0, 0.0, 0.0, 2.0, 1.0, 0.0, 1.0, 14.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 11.0, 0.0, 0.0, 1.0, 8.0, 4.0, 5.0, 14.0, 9.0, 0.0, 0.0, 1.0, 11.0, 16.0, 12.0, 7.0, 0.0, 0.0], [0.0, 1.0, 14.0, 16.0, 12.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 9.0, 16.0, 6.0, 0.0, 0.0, 0.0, 3.0, 11.0, 0.0, 14.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 5.0, 0.0, 0.0, 0.0, 2.0, 15.0, 16.0, 14.0, 8.0, 12.0, 2.0, 0.0, 0.0, 11.0, 16.0, 16.0, 16.0, 15.0, 5.0], [0.0, 0.0, 5.0, 12.0, 16.0, 15.0, 2.0, 0.0, 0.0, 6.0, 15.0, 9.0, 10.0, 15.0, 4.0, 0.0, 0.0, 3.0, 14.0, 3.0, 1.0, 14.0, 4.0, 0.0, 0.0, 0.0, 10.0, 16.0, 15.0, 13.0, 1.0, 0.0, 0.0, 0.0, 6.0, 15.0, 15.0, 10.0, 0.0, 0.0, 0.0, 0.0, 15.0, 3.0, 2.0, 15.0, 3.0, 0.0, 0.0, 0.0, 16.0, 8.0, 1.0, 14.0, 4.0, 0.0, 0.0, 0.0, 4.0, 15.0, 16.0, 11.0, 2.0, 0.0], [0.0, 0.0, 13.0, 16.0, 11.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 11.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 14.0, 9.0, 15.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 15.0, 8.0, 11.0, 5.0, 0.0, 0.0, 9.0, 12.0, 13.0, 16.0, 16.0, 11.0], [0.0, 0.0, 10.0, 10.0, 12.0, 7.0, 0.0, 0.0, 0.0, 0.0, 15.0, 13.0, 5.0, 12.0, 5.0, 0.0, 0.0, 4.0, 13.0, 4.0, 0.0, 2.0, 8.0, 0.0, 0.0, 8.0, 4.0, 0.0, 0.0, 3.0, 8.0, 0.0, 0.0, 8.0, 4.0, 0.0, 0.0, 7.0, 5.0, 0.0, 0.0, 6.0, 6.0, 0.0, 0.0, 11.0, 2.0, 0.0, 0.0, 1.0, 13.0, 3.0, 3.0, 12.0, 0.0, 0.0, 0.0, 0.0, 7.0, 15.0, 16.0, 7.0, 0.0, 0.0], [0.0, 0.0, 10.0, 7.0, 3.0, 0.0, 0.0, 0.0, 0.0, 1.0, 15.0, 12.0, 14.0, 6.0, 0.0, 0.0, 0.0, 5.0, 12.0, 0.0, 2.0, 13.0, 0.0, 0.0, 0.0, 4.0, 12.0, 0.0, 0.0, 4.0, 7.0, 0.0, 0.0, 8.0, 5.0, 0.0, 0.0, 4.0, 8.0, 0.0, 0.0, 5.0, 8.0, 0.0, 0.0, 5.0, 10.0, 0.0, 0.0, 0.0, 14.0, 3.0, 4.0, 14.0, 6.0, 0.0, 0.0, 0.0, 7.0, 16.0, 16.0, 10.0, 0.0, 0.0], [0.0, 0.0, 8.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 9.0, 0.0, 0.0, 0.0, 0.0, 6.0, 12.0, 16.0, 15.0, 8.0, 5.0, 0.0, 0.0, 4.0, 15.0, 16.0, 16.0, 16.0, 16.0], [0.0, 0.0, 3.0, 16.0, 12.0, 12.0, 7.0, 0.0, 0.0, 0.0, 12.0, 13.0, 13.0, 16.0, 6.0, 0.0, 0.0, 0.0, 2.0, 0.0, 6.0, 14.0, 0.0, 0.0, 0.0, 0.0, 1.0, 4.0, 13.0, 10.0, 1.0, 0.0, 0.0, 0.0, 9.0, 16.0, 16.0, 16.0, 8.0, 0.0, 0.0, 0.0, 4.0, 12.0, 12.0, 7.0, 1.0, 0.0, 0.0, 0.0, 0.0, 14.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 2.0, 0.0, 0.0, 0.0], [0.0, 0.0, 1.0, 12.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 10.0, 2.0, 0.0, 0.0, 0.0, 0.0, 4.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 10.0, 11.0, 16.0, 14.0, 1.0, 0.0, 0.0, 2.0, 16.0, 10.0, 3.0, 7.0, 11.0, 0.0, 0.0, 0.0, 13.0, 8.0, 1.0, 8.0, 12.0, 0.0, 0.0, 0.0, 2.0, 12.0, 16.0, 15.0, 5.0, 0.0], [0.0, 0.0, 3.0, 15.0, 16.0, 12.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 6.0, 14.0, 6.0, 0.0, 0.0, 0.0, 0.0, 3.0, 1.0, 15.0, 6.0, 0.0, 0.0, 0.0, 0.0, 1.0, 14.0, 16.0, 3.0, 0.0, 0.0, 5.0, 8.0, 2.0, 13.0, 16.0, 3.0, 0.0, 0.0, 5.0, 16.0, 0.0, 0.0, 9.0, 13.0, 0.0, 0.0, 1.0, 15.0, 11.0, 8.0, 12.0, 16.0, 1.0, 0.0, 0.0, 3.0, 14.0, 16.0, 16.0, 9.0, 0.0], [0.0, 3.0, 15.0, 15.0, 3.0, 0.0, 0.0, 0.0, 0.0, 8.0, 14.0, 12.0, 10.0, 0.0, 0.0, 0.0, 0.0, 5.0, 11.0, 6.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 9.0, 0.0, 0.0, 0.0, 0.0, 1.0, 11.0, 16.0, 12.0, 8.0, 5.0, 0.0, 0.0, 5.0, 16.0, 16.0, 16.0, 16.0, 16.0, 0.0], [0.0, 0.0, 11.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 1.0, 15.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 13.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 11.0, 16.0, 9.0, 5.0, 1.0, 0.0, 0.0, 12.0, 16.0, 16.0, 16.0, 16.0, 12.0], [0.0, 0.0, 0.0, 4.0, 15.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 6.0, 0.0, 10.0, 1.0, 0.0, 0.0, 12.0, 12.0, 1.0, 7.0, 15.0, 1.0, 0.0, 5.0, 16.0, 3.0, 0.0, 14.0, 10.0, 0.0, 2.0, 16.0, 13.0, 8.0, 8.0, 16.0, 3.0, 0.0, 8.0, 16.0, 16.0, 16.0, 16.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 6.0, 0.0, 0.0], [0.0, 0.0, 0.0, 6.0, 14.0, 3.0, 0.0, 0.0, 0.0, 0.0, 5.0, 15.0, 7.0, 1.0, 0.0, 0.0, 0.0, 0.0, 10.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 16.0, 16.0, 11.0, 2.0, 0.0, 0.0, 2.0, 16.0, 13.0, 3.0, 8.0, 12.0, 0.0, 0.0, 0.0, 8.0, 15.0, 5.0, 4.0, 16.0, 2.0, 0.0, 0.0, 0.0, 4.0, 14.0, 16.0, 13.0, 0.0], [0.0, 0.0, 6.0, 14.0, 13.0, 3.0, 0.0, 0.0, 0.0, 0.0, 12.0, 2.0, 3.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 13.0, 1.0, 0.0, 0.0, 1.0, 7.0, 0.0, 0.0, 7.0, 11.0, 0.0, 0.0, 3.0, 13.0, 2.0, 0.0, 7.0, 13.0, 0.0, 0.0, 0.0, 5.0, 14.0, 14.0, 15.0, 6.0, 0.0], [0.0, 0.0, 10.0, 13.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 7.0, 11.0, 16.0, 14.0, 9.0, 4.0, 0.0, 0.0, 6.0, 15.0, 13.0, 14.0, 16.0, 15.0], [0.0, 0.0, 2.0, 15.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 3.0, 13.0, 11.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 13.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 11.0, 0.0, 0.0, 0.0, 3.0, 3.0, 1.0, 6.0, 15.0, 8.0, 0.0, 0.0, 11.0, 13.0, 0.0, 0.0, 10.0, 12.0, 0.0, 0.0, 3.0, 16.0, 12.0, 7.0, 16.0, 8.0, 0.0, 0.0, 0.0, 3.0, 15.0, 16.0, 10.0, 0.0, 0.0], [0.0, 0.0, 3.0, 13.0, 13.0, 3.0, 0.0, 0.0, 0.0, 0.0, 12.0, 7.0, 3.0, 13.0, 0.0, 0.0, 0.0, 0.0, 16.0, 0.0, 5.0, 12.0, 0.0, 0.0, 0.0, 0.0, 10.0, 13.0, 14.0, 16.0, 2.0, 0.0, 0.0, 0.0, 1.0, 7.0, 6.0, 13.0, 4.0, 0.0, 0.0, 1.0, 4.0, 0.0, 0.0, 5.0, 11.0, 0.0, 0.0, 2.0, 14.0, 6.0, 2.0, 9.0, 11.0, 0.0, 0.0, 0.0, 4.0, 10.0, 16.0, 16.0, 4.0, 0.0], [0.0, 0.0, 2.0, 13.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 15.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 9.0, 0.0, 0.0, 0.0, 0.0, 5.0, 12.0, 14.0, 16.0, 9.0, 2.0, 0.0, 0.0, 2.0, 12.0, 12.0, 12.0, 13.0, 8.0], [0.0, 0.0, 4.0, 15.0, 14.0, 12.0, 11.0, 0.0, 0.0, 0.0, 7.0, 15.0, 13.0, 16.0, 10.0, 0.0, 0.0, 0.0, 10.0, 7.0, 6.0, 16.0, 2.0, 0.0, 0.0, 0.0, 7.0, 1.0, 12.0, 12.0, 0.0, 0.0, 0.0, 0.0, 5.0, 8.0, 16.0, 12.0, 1.0, 0.0, 0.0, 4.0, 16.0, 16.0, 16.0, 14.0, 2.0, 0.0, 0.0, 0.0, 0.0, 15.0, 9.0, 1.0, 0.0, 0.0, 0.0, 0.0, 5.0, 15.0, 2.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 5.0, 12.0, 12.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 6.0, 1.0, 0.0, 0.0, 0.0, 0.0, 15.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 13.0, 2.0, 7.0, 4.0, 0.0, 0.0, 0.0, 7.0, 15.0, 16.0, 13.0, 15.0, 3.0, 0.0, 0.0, 3.0, 16.0, 9.0, 0.0, 1.0, 12.0, 0.0, 0.0, 0.0, 10.0, 12.0, 2.0, 6.0, 13.0, 0.0, 0.0, 0.0, 0.0, 8.0, 15.0, 16.0, 5.0, 0.0], [0.0, 0.0, 3.0, 11.0, 16.0, 15.0, 0.0, 0.0, 0.0, 0.0, 15.0, 16.0, 5.0, 13.0, 0.0, 0.0, 0.0, 2.0, 16.0, 9.0, 0.0, 12.0, 0.0, 0.0, 0.0, 1.0, 9.0, 15.0, 10.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 12.0, 1.0, 0.0, 0.0, 0.0, 2.0, 14.0, 2.0, 16.0, 5.0, 0.0, 0.0, 0.0, 8.0, 10.0, 1.0, 14.0, 4.0, 0.0, 0.0, 0.0, 3.0, 15.0, 16.0, 9.0, 0.0, 0.0], [0.0, 0.0, 0.0, 1.0, 15.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 13.0, 0.0, 9.0, 7.0, 0.0, 0.0, 2.0, 15.0, 4.0, 0.0, 15.0, 5.0, 0.0, 2.0, 13.0, 14.0, 11.0, 10.0, 15.0, 0.0, 0.0, 11.0, 15.0, 13.0, 16.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 6.0, 0.0, 0.0], [0.0, 0.0, 9.0, 15.0, 14.0, 2.0, 0.0, 0.0, 0.0, 0.0, 9.0, 3.0, 9.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 15.0, 2.0, 0.0, 0.0, 0.0, 0.0, 2.0, 10.0, 11.0, 15.0, 2.0, 0.0, 0.0, 3.0, 1.0, 0.0, 0.0, 14.0, 4.0, 0.0, 0.0, 10.0, 13.0, 7.0, 2.0, 12.0, 4.0, 0.0, 0.0, 0.0, 7.0, 14.0, 16.0, 10.0, 0.0, 0.0], [0.0, 0.0, 1.0, 14.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 14.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 12.0, 0.0, 0.0, 0.0, 0.0, 10.0, 14.0, 13.0, 16.0, 8.0, 3.0, 0.0, 0.0, 2.0, 11.0, 12.0, 15.0, 16.0, 15.0], [0.0, 0.0, 0.0, 1.0, 15.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 15.0, 0.0, 4.0, 0.0, 0.0, 0.0, 0.0, 13.0, 8.0, 1.0, 16.0, 3.0, 0.0, 0.0, 5.0, 15.0, 2.0, 5.0, 15.0, 0.0, 0.0, 5.0, 15.0, 16.0, 16.0, 16.0, 8.0, 0.0, 0.0, 14.0, 12.0, 12.0, 14.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 5.0, 0.0, 0.0], [0.0, 0.0, 6.0, 16.0, 12.0, 1.0, 0.0, 0.0, 0.0, 3.0, 16.0, 5.0, 9.0, 13.0, 0.0, 0.0, 0.0, 5.0, 12.0, 0.0, 0.0, 12.0, 6.0, 0.0, 0.0, 8.0, 14.0, 2.0, 0.0, 7.0, 8.0, 0.0, 0.0, 7.0, 12.0, 2.0, 0.0, 4.0, 8.0, 0.0, 0.0, 4.0, 12.0, 0.0, 0.0, 9.0, 7.0, 0.0, 0.0, 3.0, 16.0, 5.0, 7.0, 14.0, 2.0, 0.0, 0.0, 0.0, 7.0, 16.0, 13.0, 3.0, 0.0, 0.0], [0.0, 3.0, 10.0, 11.0, 12.0, 12.0, 6.0, 0.0, 0.0, 8.0, 14.0, 11.0, 8.0, 8.0, 4.0, 0.0, 0.0, 8.0, 10.0, 7.0, 3.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 14.0, 15.0, 4.0, 0.0, 0.0, 0.0, 2.0, 2.0, 0.0, 6.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 12.0, 0.0, 0.0, 0.0, 1.0, 8.0, 4.0, 10.0, 10.0, 0.0, 0.0, 0.0, 2.0, 15.0, 16.0, 13.0, 2.0, 0.0, 0.0], [0.0, 0.0, 14.0, 16.0, 15.0, 3.0, 0.0, 0.0, 0.0, 0.0, 6.0, 5.0, 13.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 10.0, 0.0, 0.0, 0.0, 1.0, 3.0, 0.0, 4.0, 15.0, 8.0, 0.0, 0.0, 6.0, 15.0, 0.0, 0.0, 9.0, 15.0, 0.0, 0.0, 5.0, 16.0, 5.0, 6.0, 14.0, 14.0, 0.0, 0.0, 1.0, 11.0, 16.0, 16.0, 14.0, 2.0, 0.0], [0.0, 0.0, 2.0, 14.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 16.0, 16.0, 13.0, 1.0, 0.0, 0.0, 2.0, 16.0, 8.0, 4.0, 7.0, 11.0, 0.0, 0.0, 0.0, 12.0, 11.0, 1.0, 8.0, 11.0, 0.0, 0.0, 0.0, 3.0, 12.0, 16.0, 15.0, 4.0, 0.0], [0.0, 1.0, 12.0, 16.0, 10.0, 1.0, 0.0, 0.0, 0.0, 8.0, 12.0, 3.0, 11.0, 8.0, 0.0, 0.0, 0.0, 12.0, 13.0, 6.0, 12.0, 8.0, 0.0, 0.0, 0.0, 3.0, 15.0, 16.0, 16.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 11.0, 0.0, 0.0, 0.0, 13.0, 0.0, 0.0, 5.0, 12.0, 0.0, 0.0, 0.0, 12.0, 16.0, 16.0, 16.0, 8.0, 0.0], [0.0, 0.0, 0.0, 12.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 14.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 14.0, 1.0, 4.0, 2.0, 0.0, 0.0, 0.0, 4.0, 16.0, 15.0, 12.0, 15.0, 5.0, 0.0, 0.0, 3.0, 16.0, 6.0, 0.0, 5.0, 11.0, 0.0, 0.0, 0.0, 9.0, 11.0, 4.0, 13.0, 5.0, 0.0, 0.0, 0.0, 1.0, 11.0, 16.0, 9.0, 0.0, 0.0], [0.0, 0.0, 11.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 16.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 7.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 14.0, 6.0, 0.0, 0.0, 0.0, 0.0, 6.0, 10.0, 15.0, 13.0, 8.0, 3.0, 0.0, 0.0, 8.0, 16.0, 16.0, 16.0, 16.0, 12.0], [0.0, 0.0, 4.0, 15.0, 16.0, 13.0, 13.0, 10.0, 0.0, 0.0, 12.0, 13.0, 10.0, 15.0, 14.0, 2.0, 0.0, 2.0, 16.0, 6.0, 2.0, 14.0, 6.0, 0.0, 0.0, 1.0, 5.0, 0.0, 9.0, 11.0, 0.0, 0.0, 0.0, 0.0, 7.0, 12.0, 16.0, 14.0, 6.0, 0.0, 0.0, 0.0, 8.0, 15.0, 15.0, 11.0, 2.0, 0.0, 0.0, 0.0, 2.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 15.0, 4.0, 0.0, 0.0, 0.0], [0.0, 0.0, 9.0, 12.0, 12.0, 12.0, 6.0, 0.0, 0.0, 1.0, 14.0, 6.0, 4.0, 4.0, 2.0, 0.0, 0.0, 4.0, 15.0, 12.0, 9.0, 1.0, 0.0, 0.0, 0.0, 4.0, 15.0, 8.0, 11.0, 11.0, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 0.0, 14.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 8.0, 0.0, 0.0, 0.0, 10.0, 1.0, 0.0, 8.0, 8.0, 0.0, 0.0, 0.0, 9.0, 16.0, 16.0, 15.0, 4.0, 0.0], [0.0, 0.0, 0.0, 6.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 15.0, 3.0, 6.0, 15.0, 0.0, 0.0, 1.0, 14.0, 11.0, 0.0, 13.0, 13.0, 0.0, 0.0, 10.0, 16.0, 13.0, 12.0, 16.0, 5.0, 0.0, 0.0, 11.0, 12.0, 12.0, 16.0, 14.0, 2.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 3.0, 0.0, 0.0], [0.0, 0.0, 0.0, 9.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 8.0, 0.0, 7.0, 1.0, 0.0, 0.0, 10.0, 13.0, 1.0, 6.0, 16.0, 5.0, 0.0, 6.0, 16.0, 11.0, 8.0, 14.0, 15.0, 0.0, 0.0, 13.0, 16.0, 16.0, 16.0, 16.0, 9.0, 0.0, 0.0, 2.0, 2.0, 0.0, 11.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 15.0, 2.0, 0.0, 0.0], [0.0, 0.0, 6.0, 16.0, 16.0, 16.0, 12.0, 0.0, 0.0, 0.0, 13.0, 10.0, 8.0, 16.0, 5.0, 0.0, 0.0, 1.0, 15.0, 1.0, 9.0, 12.0, 0.0, 0.0, 0.0, 0.0, 4.0, 0.0, 13.0, 7.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 16.0, 16.0, 9.0, 0.0, 0.0, 0.0, 7.0, 14.0, 12.0, 8.0, 3.0, 0.0, 0.0, 0.0, 3.0, 15.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 15.0, 0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 8.0, 12.0, 5.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 8.0, 12.0, 1.0, 0.0, 0.0, 0.0, 0.0, 14.0, 0.0, 12.0, 3.0, 0.0, 0.0, 0.0, 0.0, 3.0, 0.0, 12.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 6.0, 4.0, 4.0, 0.0, 0.0, 0.0, 14.0, 16.0, 16.0, 16.0, 14.0, 0.0], [0.0, 0.0, 10.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 7.0, 13.0, 4.0, 14.0, 7.0, 0.0, 0.0, 0.0, 7.0, 13.0, 2.0, 7.0, 8.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 16.0, 5.0, 0.0, 0.0, 0.0, 1.0, 12.0, 13.0, 15.0, 6.0, 0.0, 0.0, 0.0, 3.0, 16.0, 2.0, 4.0, 13.0, 6.0, 0.0, 0.0, 4.0, 16.0, 4.0, 1.0, 11.0, 12.0, 0.0, 0.0, 0.0, 7.0, 15.0, 16.0, 14.0, 2.0, 0.0], [0.0, 0.0, 9.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 13.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 7.0, 9.0, 15.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 13.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 16.0, 8.0, 6.0, 0.0, 0.0, 0.0, 9.0, 15.0, 12.0, 16.0, 16.0, 9.0], [0.0, 3.0, 15.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 11.0, 15.0, 2.0, 0.0, 0.0, 0.0, 11.0, 10.0, 4.0, 16.0, 2.0, 0.0, 0.0, 0.0, 2.0, 4.0, 6.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 14.0, 13.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 16.0, 16.0, 16.0, 13.0, 1.0, 0.0, 3.0, 16.0, 12.0, 8.0, 12.0, 11.0, 1.0], [0.0, 0.0, 7.0, 12.0, 13.0, 4.0, 0.0, 0.0, 0.0, 0.0, 16.0, 6.0, 6.0, 2.0, 0.0, 0.0, 0.0, 4.0, 13.0, 7.0, 8.0, 2.0, 0.0, 0.0, 0.0, 7.0, 16.0, 10.0, 10.0, 14.0, 1.0, 0.0, 0.0, 2.0, 2.0, 0.0, 0.0, 10.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 8.0, 0.0, 0.0, 0.0, 11.0, 1.0, 0.0, 10.0, 8.0, 0.0, 0.0, 0.0, 8.0, 15.0, 15.0, 15.0, 2.0, 0.0], [0.0, 0.0, 4.0, 16.0, 8.0, 11.0, 7.0, 0.0, 0.0, 0.0, 10.0, 16.0, 15.0, 16.0, 6.0, 0.0, 0.0, 3.0, 16.0, 4.0, 6.0, 15.0, 0.0, 0.0, 0.0, 3.0, 8.0, 0.0, 13.0, 8.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 16.0, 13.0, 6.0, 0.0, 0.0, 0.0, 3.0, 14.0, 13.0, 9.0, 3.0, 0.0, 0.0, 0.0, 0.0, 14.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 15.0, 2.0, 0.0, 0.0, 0.0], [0.0, 0.0, 6.0, 12.0, 13.0, 2.0, 0.0, 0.0, 0.0, 3.0, 16.0, 6.0, 1.0, 15.0, 0.0, 0.0, 0.0, 5.0, 16.0, 13.0, 12.0, 16.0, 2.0, 0.0, 0.0, 2.0, 13.0, 16.0, 12.0, 15.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 8.0, 0.0, 0.0, 0.0, 1.0, 0.0, 0.0, 8.0, 8.0, 0.0, 0.0, 3.0, 16.0, 2.0, 0.0, 10.0, 7.0, 0.0, 0.0, 0.0, 5.0, 11.0, 16.0, 13.0, 1.0, 0.0], [0.0, 2.0, 16.0, 16.0, 16.0, 16.0, 4.0, 0.0, 0.0, 4.0, 16.0, 6.0, 8.0, 7.0, 1.0, 0.0, 0.0, 4.0, 16.0, 7.0, 2.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 16.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 5.0, 4.0, 10.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 14.0, 6.0, 0.0, 0.0, 2.0, 14.0, 4.0, 4.0, 16.0, 8.0, 0.0, 0.0, 3.0, 13.0, 16.0, 16.0, 15.0, 1.0, 0.0], [0.0, 0.0, 0.0, 9.0, 13.0, 0.0, 6.0, 8.0, 0.0, 0.0, 3.0, 15.0, 3.0, 0.0, 15.0, 9.0, 0.0, 1.0, 13.0, 12.0, 4.0, 7.0, 15.0, 3.0, 0.0, 7.0, 16.0, 16.0, 16.0, 16.0, 10.0, 0.0, 0.0, 6.0, 12.0, 10.0, 14.0, 14.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 11.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 10.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 15.0, 0.0, 0.0, 9.0, 5.0, 0.0, 0.0, 14.0, 10.0, 0.0, 7.0, 16.0, 4.0, 0.0, 5.0, 16.0, 7.0, 5.0, 16.0, 6.0, 0.0, 0.0, 11.0, 16.0, 16.0, 16.0, 14.0, 0.0, 0.0, 0.0, 3.0, 4.0, 11.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 12.0, 0.0, 0.0, 0.0], [0.0, 0.0, 11.0, 14.0, 5.0, 0.0, 0.0, 0.0, 0.0, 6.0, 12.0, 4.0, 13.0, 4.0, 0.0, 0.0, 0.0, 10.0, 10.0, 0.0, 4.0, 14.0, 0.0, 0.0, 0.0, 7.0, 13.0, 5.0, 13.0, 16.0, 2.0, 0.0, 0.0, 1.0, 10.0, 12.0, 12.0, 14.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 12.0, 0.0, 0.0, 0.0, 1.0, 0.0, 0.0, 1.0, 15.0, 0.0, 0.0, 0.0, 11.0, 8.0, 4.0, 5.0, 16.0, 1.0], [0.0, 0.0, 9.0, 13.0, 16.0, 5.0, 0.0, 0.0, 0.0, 3.0, 16.0, 8.0, 4.0, 13.0, 0.0, 0.0, 0.0, 6.0, 10.0, 1.0, 0.0, 9.0, 2.0, 0.0, 0.0, 5.0, 4.0, 0.0, 0.0, 4.0, 8.0, 0.0, 0.0, 8.0, 4.0, 0.0, 0.0, 4.0, 8.0, 0.0, 0.0, 6.0, 6.0, 0.0, 0.0, 4.0, 9.0, 0.0, 0.0, 0.0, 13.0, 2.0, 0.0, 7.0, 8.0, 0.0, 0.0, 0.0, 8.0, 12.0, 13.0, 15.0, 2.0, 0.0], [0.0, 0.0, 2.0, 11.0, 14.0, 8.0, 1.0, 0.0, 0.0, 3.0, 14.0, 9.0, 8.0, 13.0, 4.0, 0.0, 0.0, 6.0, 11.0, 1.0, 4.0, 14.0, 1.0, 0.0, 0.0, 0.0, 9.0, 14.0, 15.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 14.0, 10.0, 0.0, 0.0, 0.0, 0.0, 4.0, 12.0, 2.0, 13.0, 5.0, 0.0, 0.0, 0.0, 4.0, 11.0, 1.0, 11.0, 8.0, 0.0, 0.0, 0.0, 1.0, 9.0, 16.0, 14.0, 2.0, 0.0], [0.0, 1.0, 11.0, 13.0, 10.0, 1.0, 0.0, 0.0, 0.0, 8.0, 12.0, 3.0, 13.0, 10.0, 0.0, 0.0, 0.0, 8.0, 11.0, 2.0, 11.0, 16.0, 1.0, 0.0, 0.0, 1.0, 15.0, 16.0, 16.0, 16.0, 2.0, 0.0, 0.0, 0.0, 2.0, 8.0, 3.0, 9.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 9.0, 0.0, 0.0, 2.0, 12.0, 3.0, 0.0, 9.0, 12.0, 0.0, 0.0, 1.0, 9.0, 15.0, 16.0, 13.0, 3.0, 0.0], [0.0, 0.0, 8.0, 16.0, 15.0, 6.0, 0.0, 0.0, 0.0, 5.0, 14.0, 4.0, 4.0, 15.0, 0.0, 0.0, 0.0, 6.0, 13.0, 0.0, 1.0, 15.0, 2.0, 0.0, 0.0, 1.0, 11.0, 11.0, 13.0, 10.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 12.0, 9.0, 5.0, 13.0, 2.0, 0.0, 0.0, 0.0, 16.0, 2.0, 1.0, 13.0, 8.0, 0.0, 0.0, 0.0, 8.0, 15.0, 16.0, 14.0, 1.0, 0.0], [0.0, 0.0, 3.0, 12.0, 12.0, 2.0, 0.0, 0.0, 0.0, 0.0, 11.0, 10.0, 7.0, 14.0, 2.0, 0.0, 0.0, 0.0, 11.0, 1.0, 0.0, 8.0, 4.0, 0.0, 0.0, 2.0, 14.0, 2.0, 0.0, 5.0, 7.0, 0.0, 0.0, 8.0, 9.0, 0.0, 0.0, 6.0, 8.0, 0.0, 0.0, 3.0, 13.0, 0.0, 0.0, 12.0, 7.0, 0.0, 0.0, 0.0, 15.0, 6.0, 11.0, 12.0, 0.0, 0.0, 0.0, 0.0, 4.0, 15.0, 11.0, 1.0, 0.0, 0.0], [0.0, 0.0, 5.0, 12.0, 12.0, 9.0, 3.0, 0.0, 0.0, 0.0, 8.0, 16.0, 16.0, 16.0, 4.0, 0.0, 0.0, 0.0, 9.0, 16.0, 16.0, 14.0, 1.0, 0.0, 0.0, 0.0, 11.0, 16.0, 16.0, 12.0, 0.0, 0.0, 0.0, 0.0, 12.0, 16.0, 16.0, 12.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 16.0, 12.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 16.0, 12.0, 0.0, 0.0, 0.0, 0.0, 6.0, 12.0, 12.0, 6.0, 0.0, 0.0], [0.0, 1.0, 15.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 11.0, 14.0, 0.0, 0.0, 0.0, 0.0, 12.0, 10.0, 5.0, 16.0, 0.0, 0.0, 0.0, 0.0, 4.0, 7.0, 8.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 15.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 4.0, 15.0, 14.0, 10.0, 11.0, 12.0, 1.0, 0.0, 0.0, 13.0, 16.0, 16.0, 15.0, 11.0, 1.0], [0.0, 0.0, 6.0, 12.0, 13.0, 9.0, 0.0, 0.0, 0.0, 7.0, 14.0, 6.0, 7.0, 16.0, 3.0, 0.0, 0.0, 4.0, 6.0, 5.0, 14.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 14.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 14.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 7.0, 0.0, 0.0, 0.0, 3.0, 1.0, 0.0, 9.0, 8.0, 0.0, 0.0, 0.0, 5.0, 14.0, 12.0, 13.0, 2.0, 0.0], [0.0, 0.0, 0.0, 8.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 7.0, 1.0, 9.0, 3.0, 0.0, 2.0, 15.0, 12.0, 0.0, 13.0, 16.0, 4.0, 0.0, 9.0, 16.0, 10.0, 10.0, 16.0, 11.0, 0.0, 0.0, 4.0, 15.0, 16.0, 16.0, 14.0, 1.0, 0.0, 0.0, 0.0, 0.0, 1.0, 15.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 14.0, 0.0, 0.0, 0.0], [0.0, 1.0, 8.0, 15.0, 16.0, 16.0, 9.0, 0.0, 0.0, 8.0, 16.0, 12.0, 8.0, 8.0, 5.0, 0.0, 0.0, 8.0, 14.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 16.0, 12.0, 0.0, 0.0, 0.0, 0.0, 8.0, 13.0, 8.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0, 12.0, 15.0, 5.0, 0.0, 0.0, 0.0], [0.0, 0.0, 5.0, 13.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 13.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 16.0, 14.0, 9.0, 0.0, 0.0, 0.0, 2.0, 16.0, 8.0, 3.0, 8.0, 9.0, 0.0, 0.0, 0.0, 14.0, 2.0, 0.0, 3.0, 16.0, 1.0, 0.0, 0.0, 6.0, 15.0, 16.0, 14.0, 5.0, 0.0], [0.0, 0.0, 6.0, 12.0, 10.0, 14.0, 8.0, 0.0, 0.0, 0.0, 15.0, 14.0, 13.0, 16.0, 3.0, 0.0, 0.0, 1.0, 12.0, 0.0, 9.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 8.0, 2.0, 0.0, 0.0, 0.0, 9.0, 16.0, 16.0, 16.0, 9.0, 0.0, 0.0, 0.0, 2.0, 15.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 11.0, 0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 7.0, 15.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 16.0, 7.0, 6.0, 15.0, 3.0, 0.0, 0.0, 4.0, 16.0, 0.0, 7.0, 13.0, 4.0, 0.0, 0.0, 0.0, 16.0, 2.0, 8.0, 14.0, 8.0, 0.0, 0.0, 0.0, 12.0, 14.0, 14.0, 7.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 3.0, 14.0, 2.0, 0.0, 0.0, 0.0, 0.0, 5.0, 11.0, 10.0, 10.0, 0.0, 0.0], [0.0, 1.0, 11.0, 16.0, 11.0, 1.0, 0.0, 0.0, 0.0, 6.0, 11.0, 16.0, 16.0, 7.0, 0.0, 0.0, 0.0, 1.0, 2.0, 9.0, 16.0, 11.0, 0.0, 0.0, 0.0, 2.0, 14.0, 12.0, 16.0, 12.0, 0.0, 0.0, 0.0, 0.0, 3.0, 8.0, 4.0, 13.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 8.0, 0.0, 0.0, 0.0, 4.0, 12.0, 16.0, 14.0, 6.0, 0.0, 0.0, 0.0, 14.0, 8.0, 4.0, 0.0, 0.0, 0.0], [0.0, 0.0, 2.0, 14.0, 9.0, 1.0, 0.0, 0.0, 0.0, 1.0, 12.0, 12.0, 11.0, 8.0, 0.0, 0.0, 0.0, 4.0, 14.0, 1.0, 0.0, 13.0, 3.0, 0.0, 0.0, 8.0, 13.0, 0.0, 0.0, 10.0, 6.0, 0.0, 0.0, 5.0, 16.0, 1.0, 0.0, 8.0, 9.0, 0.0, 0.0, 0.0, 16.0, 0.0, 0.0, 11.0, 9.0, 0.0, 0.0, 0.0, 13.0, 11.0, 10.0, 15.0, 4.0, 0.0, 0.0, 0.0, 3.0, 15.0, 16.0, 5.0, 0.0, 0.0], [0.0, 0.0, 6.0, 10.0, 8.0, 3.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 4.0, 9.0, 12.0, 11.0, 2.0, 0.0], [0.0, 0.0, 8.0, 15.0, 15.0, 2.0, 0.0, 0.0, 0.0, 2.0, 16.0, 13.0, 12.0, 10.0, 0.0, 0.0, 0.0, 3.0, 15.0, 1.0, 9.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 15.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 13.0, 1.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 16.0, 13.0, 7.0, 6.0, 1.0, 0.0, 0.0, 7.0, 5.0, 12.0, 16.0, 15.0, 2.0], [0.0, 0.0, 7.0, 13.0, 16.0, 5.0, 0.0, 0.0, 0.0, 6.0, 15.0, 7.0, 6.0, 14.0, 0.0, 0.0, 0.0, 9.0, 5.0, 1.0, 10.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 6.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 12.0, 0.0, 0.0, 0.0, 4.0, 5.0, 2.0, 5.0, 13.0, 0.0, 0.0, 0.0, 6.0, 12.0, 16.0, 14.0, 5.0, 0.0], [0.0, 0.0, 0.0, 6.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 10.0, 0.0, 8.0, 6.0, 0.0, 2.0, 16.0, 11.0, 0.0, 9.0, 16.0, 6.0, 0.0, 8.0, 16.0, 14.0, 14.0, 16.0, 13.0, 1.0, 0.0, 6.0, 12.0, 12.0, 12.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 14.0, 0.0, 0.0, 0.0], [0.0, 1.0, 7.0, 15.0, 16.0, 16.0, 14.0, 0.0, 0.0, 10.0, 16.0, 11.0, 6.0, 3.0, 1.0, 0.0, 0.0, 7.0, 16.0, 16.0, 12.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 12.0, 16.0, 4.0, 0.0, 0.0, 0.0, 1.0, 4.0, 0.0, 13.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 13.0, 15.0, 5.0, 0.0, 0.0, 0.0], [0.0, 0.0, 2.0, 12.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 10.0, 10.0, 5.0, 0.0, 0.0, 0.0, 5.0, 16.0, 15.0, 12.0, 14.0, 6.0, 0.0, 0.0, 4.0, 16.0, 3.0, 0.0, 8.0, 12.0, 0.0, 0.0, 0.0, 14.0, 9.0, 4.0, 11.0, 13.0, 0.0, 0.0, 0.0, 3.0, 14.0, 16.0, 12.0, 3.0, 0.0], [0.0, 0.0, 3.0, 15.0, 16.0, 16.0, 12.0, 0.0, 0.0, 0.0, 12.0, 12.0, 7.0, 16.0, 6.0, 0.0, 0.0, 4.0, 12.0, 0.0, 9.0, 13.0, 0.0, 0.0, 0.0, 0.0, 1.0, 1.0, 13.0, 7.0, 0.0, 0.0, 0.0, 0.0, 8.0, 13.0, 16.0, 16.0, 6.0, 0.0, 0.0, 0.0, 12.0, 15.0, 12.0, 6.0, 1.0, 0.0, 0.0, 0.0, 0.0, 15.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 2.0, 0.0, 0.0, 0.0], [0.0, 0.0, 14.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 4.0, 13.0, 8.0, 8.0, 0.0, 0.0, 0.0, 12.0, 7.0, 12.0, 14.0, 5.0, 0.0, 0.0, 0.0, 4.0, 15.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 10.0, 11.0, 2.0, 0.0, 0.0, 0.0, 0.0, 13.0, 0.0, 12.0, 3.0, 0.0, 0.0, 0.0, 0.0, 14.0, 15.0, 12.0, 1.0, 0.0, 0.0], [0.0, 0.0, 12.0, 15.0, 13.0, 2.0, 0.0, 0.0, 0.0, 1.0, 16.0, 5.0, 5.0, 13.0, 0.0, 0.0, 0.0, 1.0, 7.0, 13.0, 0.0, 8.0, 4.0, 0.0, 0.0, 6.0, 11.0, 13.0, 13.0, 15.0, 4.0, 0.0, 0.0, 1.0, 9.0, 12.0, 12.0, 13.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 14.0, 0.0, 0.0, 0.0, 10.0, 13.0, 12.0, 15.0, 6.0, 0.0], [0.0, 0.0, 3.0, 12.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 12.0, 12.0, 4.0, 0.0, 0.0, 0.0, 2.0, 14.0, 0.0, 1.0, 13.0, 0.0, 0.0, 0.0, 1.0, 12.0, 0.0, 0.0, 7.0, 5.0, 0.0, 0.0, 2.0, 13.0, 0.0, 0.0, 2.0, 10.0, 0.0, 0.0, 0.0, 15.0, 3.0, 0.0, 3.0, 14.0, 0.0, 0.0, 0.0, 7.0, 12.0, 8.0, 11.0, 12.0, 0.0, 0.0, 0.0, 2.0, 11.0, 16.0, 11.0, 2.0, 0.0], [0.0, 0.0, 3.0, 13.0, 10.0, 1.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 14.0, 16.0, 5.0, 0.0, 0.0], [0.0, 0.0, 13.0, 16.0, 13.0, 1.0, 0.0, 0.0, 0.0, 6.0, 16.0, 10.0, 15.0, 5.0, 0.0, 0.0, 0.0, 3.0, 15.0, 0.0, 11.0, 9.0, 0.0, 0.0, 0.0, 0.0, 4.0, 0.0, 12.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 16.0, 13.0, 10.0, 1.0, 0.0, 0.0, 13.0, 16.0, 16.0, 16.0, 16.0, 9.0], [0.0, 0.0, 6.0, 14.0, 16.0, 11.0, 0.0, 0.0, 0.0, 6.0, 14.0, 7.0, 4.0, 16.0, 4.0, 0.0, 0.0, 7.0, 7.0, 0.0, 5.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 14.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 13.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 8.0, 0.0, 0.0, 0.0, 0.0, 2.0, 4.0, 10.0, 12.0, 0.0, 0.0, 0.0, 9.0, 16.0, 16.0, 11.0, 3.0, 0.0], [0.0, 0.0, 0.0, 8.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 1.0, 13.0, 12.0, 0.0, 4.0, 13.0, 1.0, 0.0, 6.0, 16.0, 9.0, 7.0, 15.0, 10.0, 0.0, 0.0, 9.0, 16.0, 16.0, 16.0, 15.0, 2.0, 0.0, 0.0, 0.0, 4.0, 1.0, 14.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 13.0, 0.0, 0.0, 0.0], [0.0, 0.0, 5.0, 10.0, 14.0, 16.0, 11.0, 0.0, 0.0, 2.0, 15.0, 15.0, 5.0, 4.0, 1.0, 0.0, 0.0, 2.0, 16.0, 9.0, 4.0, 1.0, 0.0, 0.0, 0.0, 2.0, 16.0, 16.0, 16.0, 11.0, 0.0, 0.0, 0.0, 2.0, 9.0, 1.0, 0.0, 14.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 14.0, 3.0, 0.0, 0.0, 0.0, 0.0, 2.0, 13.0, 7.0, 0.0, 0.0, 0.0, 0.0, 7.0, 14.0, 7.0, 0.0, 0.0, 0.0], [0.0, 0.0, 1.0, 9.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0, 9.0, 14.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 14.0, 12.0, 16.0, 13.0, 3.0, 0.0, 0.0, 2.0, 15.0, 13.0, 4.0, 3.0, 13.0, 0.0, 0.0, 0.0, 9.0, 8.0, 2.0, 4.0, 16.0, 1.0, 0.0, 0.0, 0.0, 9.0, 12.0, 12.0, 8.0, 0.0], [0.0, 0.0, 5.0, 12.0, 16.0, 12.0, 4.0, 0.0, 0.0, 1.0, 12.0, 7.0, 5.0, 16.0, 5.0, 0.0, 0.0, 2.0, 9.0, 0.0, 8.0, 9.0, 0.0, 0.0, 0.0, 0.0, 2.0, 3.0, 12.0, 1.0, 0.0, 0.0, 0.0, 4.0, 12.0, 14.0, 15.0, 12.0, 4.0, 0.0, 0.0, 5.0, 4.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 12.0, 0.0, 0.0, 0.0, 0.0], [0.0, 2.0, 15.0, 12.0, 1.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 13.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 3.0, 15.0, 12.0, 5.0, 0.0, 0.0, 0.0, 5.0, 16.0, 16.0, 11.0, 0.0, 0.0, 0.0, 2.0, 13.0, 13.0, 14.0, 2.0, 0.0, 0.0, 0.0, 5.0, 13.0, 0.0, 6.0, 8.0, 0.0, 0.0, 0.0, 4.0, 11.0, 0.0, 1.0, 15.0, 0.0, 0.0, 0.0, 2.0, 12.0, 16.0, 16.0, 7.0, 0.0, 0.0], [0.0, 0.0, 9.0, 13.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 7.0, 11.0, 3.0, 0.0, 0.0, 0.0, 4.0, 7.0, 8.0, 5.0, 8.0, 0.0, 0.0, 0.0, 8.0, 10.0, 15.0, 14.0, 9.0, 0.0, 0.0, 0.0, 0.0, 4.0, 7.0, 9.0, 13.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 11.0, 0.0, 0.0, 0.0, 2.0, 0.0, 2.0, 12.0, 6.0, 0.0, 0.0, 0.0, 10.0, 14.0, 14.0, 7.0, 0.0, 0.0], [0.0, 0.0, 5.0, 15.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 6.0, 11.0, 6.0, 0.0, 0.0, 0.0, 7.0, 9.0, 0.0, 0.0, 14.0, 0.0, 0.0, 0.0, 5.0, 9.0, 0.0, 0.0, 8.0, 6.0, 0.0, 0.0, 4.0, 13.0, 0.0, 0.0, 4.0, 8.0, 0.0, 0.0, 1.0, 16.0, 0.0, 0.0, 4.0, 11.0, 0.0, 0.0, 0.0, 15.0, 7.0, 5.0, 16.0, 4.0, 0.0, 0.0, 0.0, 2.0, 15.0, 15.0, 5.0, 0.0, 0.0], [0.0, 0.0, 12.0, 14.0, 6.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 7.0, 13.0, 10.0, 0.0, 0.0, 0.0, 0.0, 16.0, 2.0, 1.0, 13.0, 4.0, 0.0, 0.0, 0.0, 9.0, 13.0, 8.0, 16.0, 2.0, 0.0, 0.0, 0.0, 6.0, 16.0, 16.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 3.0, 16.0, 0.0, 0.0, 0.0, 0.0, 1.0, 6.0, 13.0, 10.0, 0.0, 0.0, 0.0, 0.0, 13.0, 9.0, 8.0, 2.0, 0.0, 0.0], [0.0, 0.0, 8.0, 15.0, 16.0, 16.0, 6.0, 0.0, 0.0, 2.0, 16.0, 11.0, 5.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 16.0, 13.0, 0.0, 0.0, 0.0, 0.0, 10.0, 13.0, 6.0, 15.0, 5.0, 0.0, 0.0, 0.0, 3.0, 1.0, 0.0, 11.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 8.0, 0.0, 0.0, 0.0], [0.0, 0.0, 6.0, 11.0, 16.0, 16.0, 3.0, 0.0, 0.0, 5.0, 16.0, 15.0, 5.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 15.0, 2.0, 0.0, 0.0, 0.0, 0.0, 12.0, 15.0, 12.0, 12.0, 0.0, 0.0, 0.0, 0.0, 2.0, 1.0, 4.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 13.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 6.0, 13.0, 3.0, 0.0, 0.0, 0.0, 0.0, 1.0, 14.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 15.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 15.0, 16.0, 13.0, 5.0, 0.0, 0.0, 0.0, 10.0, 16.0, 5.0, 11.0, 14.0, 0.0, 0.0, 0.0, 7.0, 15.0, 5.0, 10.0, 14.0, 0.0, 0.0, 0.0, 0.0, 3.0, 14.0, 16.0, 9.0, 0.0], [0.0, 0.0, 7.0, 16.0, 16.0, 16.0, 6.0, 0.0, 0.0, 0.0, 12.0, 13.0, 5.0, 1.0, 0.0, 0.0, 0.0, 0.0, 15.0, 7.0, 1.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 16.0, 13.0, 0.0, 0.0, 0.0, 0.0, 11.0, 15.0, 5.0, 16.0, 4.0, 0.0, 0.0, 0.0, 5.0, 3.0, 1.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 15.0, 1.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 12.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 15.0, 13.0, 4.0, 0.0, 0.0, 0.0, 5.0, 16.0, 6.0, 3.0, 12.0, 0.0, 0.0, 0.0, 7.0, 14.0, 1.0, 0.0, 11.0, 5.0, 0.0, 0.0, 3.0, 14.0, 0.0, 0.0, 7.0, 10.0, 0.0, 0.0, 1.0, 14.0, 2.0, 0.0, 9.0, 9.0, 0.0, 0.0, 0.0, 9.0, 11.0, 6.0, 15.0, 5.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 11.0, 0.0, 0.0], [0.0, 0.0, 10.0, 13.0, 9.0, 1.0, 0.0, 0.0, 0.0, 2.0, 16.0, 7.0, 10.0, 8.0, 0.0, 0.0, 0.0, 0.0, 12.0, 12.0, 7.0, 11.0, 0.0, 0.0, 0.0, 3.0, 16.0, 16.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 5.0, 8.0, 12.0, 10.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 15.0, 0.0, 0.0, 0.0, 11.0, 16.0, 16.0, 16.0, 8.0, 0.0], [0.0, 1.0, 13.0, 14.0, 2.0, 0.0, 0.0, 0.0, 0.0, 7.0, 14.0, 9.0, 5.0, 0.0, 0.0, 0.0, 0.0, 6.0, 13.0, 3.0, 12.0, 6.0, 4.0, 0.0, 0.0, 1.0, 14.0, 12.0, 14.0, 16.0, 4.0, 0.0, 0.0, 0.0, 2.0, 16.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 11.0, 14.0, 8.0, 13.0, 0.0, 0.0, 0.0, 4.0, 16.0, 4.0, 2.0, 14.0, 2.0, 0.0, 0.0, 1.0, 12.0, 14.0, 13.0, 6.0, 0.0, 0.0], [0.0, 0.0, 5.0, 15.0, 14.0, 3.0, 0.0, 0.0, 0.0, 0.0, 12.0, 7.0, 2.0, 12.0, 0.0, 0.0, 0.0, 0.0, 16.0, 3.0, 0.0, 12.0, 1.0, 0.0, 0.0, 0.0, 12.0, 11.0, 10.0, 15.0, 0.0, 0.0, 0.0, 0.0, 2.0, 10.0, 15.0, 13.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 4.0, 0.0, 0.0, 0.0, 0.0, 6.0, 12.0, 15.0, 2.0, 0.0, 0.0, 0.0, 7.0, 13.0, 4.0, 0.0, 0.0, 0.0], [0.0, 0.0, 4.0, 15.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 13.0, 11.0, 11.0, 15.0, 0.0, 0.0, 0.0, 0.0, 15.0, 13.0, 15.0, 16.0, 7.0, 0.0, 0.0, 0.0, 7.0, 16.0, 16.0, 11.0, 2.0, 0.0, 0.0, 0.0, 5.0, 15.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 16.0, 9.0, 12.0, 11.0, 0.0, 0.0, 0.0, 2.0, 16.0, 6.0, 8.0, 16.0, 0.0, 0.0, 0.0, 0.0, 7.0, 14.0, 13.0, 8.0, 0.0, 0.0], [0.0, 0.0, 0.0, 3.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 3.0, 14.0, 10.0, 0.0, 9.0, 11.0, 0.0, 1.0, 13.0, 11.0, 0.0, 2.0, 15.0, 8.0, 0.0, 7.0, 16.0, 9.0, 11.0, 16.0, 15.0, 1.0, 0.0, 6.0, 15.0, 13.0, 12.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 15.0, 2.0, 0.0, 0.0, 0.0, 0.0, 1.0, 15.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 15.0, 2.0, 0.0, 0.0], [0.0, 0.0, 6.0, 15.0, 12.0, 5.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 16.0, 13.0, 1.0, 0.0, 0.0, 0.0, 8.0, 16.0, 16.0, 12.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 16.0, 16.0, 16.0, 5.0, 0.0, 0.0, 0.0, 5.0, 16.0, 16.0, 16.0, 1.0, 0.0, 0.0, 0.0, 3.0, 15.0, 16.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 15.0, 3.0, 0.0, 0.0], [0.0, 0.0, 5.0, 10.0, 11.0, 13.0, 12.0, 0.0, 0.0, 2.0, 14.0, 8.0, 8.0, 13.0, 10.0, 0.0, 0.0, 1.0, 6.0, 0.0, 4.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 15.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 15.0, 8.0, 1.0, 0.0, 0.0, 2.0, 15.0, 15.0, 8.0, 7.0, 0.0, 0.0, 0.0, 1.0, 9.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 11.0, 0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 2.0, 15.0, 16.0, 15.0, 0.0, 0.0, 0.0, 0.0, 12.0, 9.0, 11.0, 12.0, 0.0, 0.0, 0.0, 5.0, 15.0, 0.0, 13.0, 7.0, 0.0, 0.0, 0.0, 5.0, 6.0, 3.0, 14.0, 5.0, 2.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 16.0, 9.0, 0.0, 0.0, 0.0, 7.0, 16.0, 9.0, 2.0, 0.0, 0.0, 0.0, 0.0, 1.0, 15.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 7.0, 14.0, 15.0, 7.0, 0.0, 0.0, 0.0, 6.0, 16.0, 8.0, 7.0, 16.0, 4.0, 0.0, 0.0, 11.0, 6.0, 1.0, 10.0, 14.0, 1.0, 0.0, 0.0, 1.0, 0.0, 4.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 11.0, 13.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 7.0, 0.0, 0.0, 0.0, 3.0, 4.0, 8.0, 14.0, 3.0, 0.0, 0.0, 0.0, 10.0, 13.0, 12.0, 4.0, 0.0, 0.0], [0.0, 1.0, 9.0, 16.0, 16.0, 15.0, 3.0, 0.0, 0.0, 8.0, 16.0, 12.0, 8.0, 8.0, 3.0, 0.0, 0.0, 6.0, 16.0, 9.0, 3.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 16.0, 16.0, 4.0, 0.0, 0.0, 0.0, 3.0, 6.0, 4.0, 13.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 13.0, 0.0, 0.0, 0.0, 0.0, 5.0, 8.0, 15.0, 10.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 11.0, 1.0, 0.0, 0.0], [0.0, 0.0, 2.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 12.0, 16.0, 3.0, 0.0, 0.0], [0.0, 0.0, 0.0, 10.0, 11.0, 1.0, 0.0, 0.0, 0.0, 0.0, 1.0, 15.0, 8.0, 8.0, 0.0, 0.0, 0.0, 5.0, 4.0, 10.0, 0.0, 12.0, 0.0, 0.0, 0.0, 7.0, 8.0, 10.0, 0.0, 7.0, 5.0, 0.0, 0.0, 6.0, 10.0, 0.0, 0.0, 2.0, 9.0, 0.0, 0.0, 1.0, 13.0, 0.0, 0.0, 2.0, 11.0, 0.0, 0.0, 0.0, 6.0, 11.0, 4.0, 10.0, 11.0, 0.0, 0.0, 0.0, 0.0, 9.0, 15.0, 14.0, 5.0, 0.0], [0.0, 2.0, 0.0, 8.0, 9.0, 0.0, 0.0, 0.0, 0.0, 13.0, 5.0, 14.0, 8.0, 7.0, 0.0, 0.0, 0.0, 12.0, 5.0, 2.0, 0.0, 9.0, 0.0, 0.0, 0.0, 7.0, 5.0, 0.0, 0.0, 3.0, 5.0, 0.0, 0.0, 3.0, 10.0, 0.0, 0.0, 2.0, 10.0, 0.0, 0.0, 1.0, 13.0, 0.0, 0.0, 1.0, 12.0, 0.0, 0.0, 0.0, 5.0, 13.0, 5.0, 9.0, 13.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 16.0, 7.0, 0.0], [0.0, 0.0, 6.0, 16.0, 13.0, 12.0, 14.0, 1.0, 0.0, 0.0, 14.0, 4.0, 4.0, 15.0, 4.0, 0.0, 0.0, 1.0, 7.0, 0.0, 10.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 13.0, 1.0, 0.0, 0.0, 0.0, 2.0, 9.0, 14.0, 16.0, 12.0, 0.0, 0.0, 0.0, 4.0, 6.0, 15.0, 2.0, 4.0, 1.0, 0.0, 0.0, 0.0, 6.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 4.0, 0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 9.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 1.0, 16.0, 10.0, 8.0, 0.0, 0.0, 0.0, 15.0, 6.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 14.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 9.0, 11.0, 2.0, 0.0, 0.0, 0.0, 0.0, 12.0, 1.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 14.0, 3.0, 0.0, 0.0, 0.0], [0.0, 0.0, 11.0, 16.0, 15.0, 3.0, 0.0, 0.0, 0.0, 5.0, 16.0, 12.0, 11.0, 13.0, 0.0, 0.0, 0.0, 3.0, 13.0, 1.0, 5.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 16.0, 16.0, 11.0, 1.0, 0.0, 0.0, 0.0, 13.0, 13.0, 8.0, 13.0, 16.0, 8.0], [0.0, 0.0, 6.0, 16.0, 15.0, 5.0, 0.0, 0.0, 0.0, 1.0, 16.0, 14.0, 8.0, 15.0, 1.0, 0.0, 0.0, 9.0, 13.0, 1.0, 0.0, 12.0, 6.0, 0.0, 0.0, 5.0, 9.0, 0.0, 0.0, 9.0, 10.0, 0.0, 0.0, 6.0, 9.0, 0.0, 0.0, 9.0, 11.0, 0.0, 0.0, 7.0, 16.0, 1.0, 0.0, 11.0, 11.0, 0.0, 0.0, 3.0, 16.0, 11.0, 13.0, 16.0, 8.0, 0.0, 0.0, 0.0, 8.0, 16.0, 16.0, 12.0, 1.0, 0.0], [0.0, 0.0, 0.0, 14.0, 14.0, 9.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 13.0, 16.0, 15.0, 2.0, 0.0, 0.0, 0.0, 1.0, 15.0, 16.0, 11.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 12.0, 12.0, 0.0, 0.0, 0.0], [0.0, 0.0, 9.0, 16.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 8.0, 13.0, 7.0, 0.0, 0.0, 0.0, 0.0, 12.0, 0.0, 8.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 15.0, 10.0, 9.0, 1.0, 0.0, 0.0, 12.0, 14.0, 13.0, 16.0, 16.0, 5.0], [0.0, 0.0, 1.0, 14.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 11.0, 4.0, 0.0, 0.0, 0.0, 0.0, 1.0, 11.0, 1.0, 0.0, 0.0, 0.0, 0.0, 1.0, 12.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 14.0, 13.0, 8.0, 1.0, 0.0, 0.0, 3.0, 16.0, 16.0, 13.0, 16.0, 8.0, 0.0, 0.0, 0.0, 12.0, 16.0, 7.0, 15.0, 12.0, 0.0, 0.0, 0.0, 1.0, 13.0, 16.0, 16.0, 8.0, 0.0], [0.0, 0.0, 11.0, 16.0, 16.0, 10.0, 0.0, 0.0, 1.0, 14.0, 16.0, 9.0, 11.0, 16.0, 1.0, 0.0, 1.0, 14.0, 3.0, 0.0, 12.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 10.0, 0.0, 0.0, 0.0, 2.0, 4.0, 5.0, 14.0, 13.0, 0.0, 0.0, 0.0, 11.0, 16.0, 16.0, 16.0, 4.0, 0.0], [0.0, 0.0, 9.0, 16.0, 16.0, 15.0, 4.0, 0.0, 0.0, 8.0, 16.0, 9.0, 7.0, 14.0, 11.0, 0.0, 0.0, 5.0, 5.0, 1.0, 13.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 11.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 8.0, 0.0, 0.0, 0.0, 3.0, 4.0, 6.0, 16.0, 4.0, 0.0, 0.0, 0.0, 14.0, 16.0, 16.0, 8.0, 0.0, 0.0], [0.0, 0.0, 10.0, 16.0, 13.0, 12.0, 15.0, 5.0, 0.0, 4.0, 16.0, 8.0, 12.0, 16.0, 6.0, 0.0, 0.0, 6.0, 12.0, 2.0, 16.0, 7.0, 0.0, 0.0, 0.0, 1.0, 5.0, 9.0, 14.0, 1.0, 0.0, 0.0, 0.0, 1.0, 7.0, 16.0, 12.0, 2.0, 0.0, 0.0, 0.0, 8.0, 16.0, 16.0, 12.0, 5.0, 0.0, 0.0, 0.0, 1.0, 11.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 6.0, 0.0, 0.0, 0.0, 0.0], [0.0, 1.0, 13.0, 16.0, 16.0, 10.0, 0.0, 0.0, 0.0, 8.0, 15.0, 8.0, 15.0, 15.0, 0.0, 0.0, 0.0, 3.0, 8.0, 5.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 0.0, 0.0, 0.0, 8.0, 6.0, 6.0, 13.0, 12.0, 0.0, 0.0, 1.0, 15.0, 16.0, 16.0, 14.0, 3.0, 0.0], [0.0, 1.0, 12.0, 16.0, 16.0, 9.0, 0.0, 0.0, 0.0, 11.0, 15.0, 9.0, 7.0, 16.0, 3.0, 0.0, 0.0, 13.0, 3.0, 1.0, 10.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 15.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 13.0, 0.0, 0.0, 0.0, 7.0, 4.0, 8.0, 15.0, 9.0, 0.0, 0.0, 0.0, 13.0, 16.0, 16.0, 12.0, 1.0, 0.0], [0.0, 0.0, 1.0, 14.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 15.0, 2.0, 0.0, 4.0, 0.0, 0.0, 2.0, 16.0, 6.0, 0.0, 7.0, 16.0, 2.0, 0.0, 8.0, 16.0, 6.0, 6.0, 16.0, 12.0, 0.0, 0.0, 5.0, 16.0, 16.0, 16.0, 15.0, 3.0, 0.0, 0.0, 0.0, 1.0, 4.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 16.0, 0.0, 0.0, 0.0], [0.0, 0.0, 1.0, 14.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 7.0, 5.0, 4.0, 1.0, 0.0, 0.0, 0.0, 10.0, 16.0, 13.0, 14.0, 14.0, 0.0, 0.0, 0.0, 9.0, 14.0, 1.0, 4.0, 16.0, 3.0, 0.0, 0.0, 1.0, 12.0, 13.0, 16.0, 9.0, 1.0], [0.0, 0.0, 0.0, 7.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 8.0, 1.0, 1.0, 0.0, 0.0, 0.0, 0.0, 12.0, 16.0, 16.0, 15.0, 5.0, 0.0, 0.0, 0.0, 14.0, 11.0, 0.0, 1.0, 15.0, 0.0, 0.0, 0.0, 6.0, 11.0, 1.0, 3.0, 14.0, 2.0, 0.0, 0.0, 0.0, 8.0, 16.0, 16.0, 7.0, 0.0], [0.0, 0.0, 0.0, 13.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 12.0, 16.0, 11.0, 3.0, 0.0, 0.0, 2.0, 16.0, 15.0, 9.0, 9.0, 15.0, 2.0, 0.0, 0.0, 11.0, 12.0, 1.0, 3.0, 16.0, 6.0, 0.0, 0.0, 1.0, 13.0, 16.0, 16.0, 15.0, 1.0], [0.0, 0.0, 3.0, 15.0, 7.0, 0.0, 0.0, 0.0, 0.0, 3.0, 15.0, 11.0, 1.0, 1.0, 7.0, 0.0, 0.0, 8.0, 16.0, 2.0, 0.0, 13.0, 15.0, 0.0, 0.0, 8.0, 16.0, 13.0, 14.0, 16.0, 5.0, 0.0, 0.0, 0.0, 8.0, 9.0, 15.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 4.0, 0.0, 0.0, 0.0], [0.0, 0.0, 7.0, 12.0, 11.0, 1.0, 0.0, 0.0, 0.0, 0.0, 12.0, 10.0, 5.0, 14.0, 0.0, 0.0, 0.0, 6.0, 13.0, 13.0, 3.0, 15.0, 0.0, 0.0, 0.0, 8.0, 9.0, 11.0, 16.0, 8.0, 0.0, 0.0, 0.0, 1.0, 11.0, 10.0, 9.0, 11.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 12.0, 0.0, 0.0, 0.0, 8.0, 12.0, 16.0, 13.0, 2.0, 0.0], [0.0, 0.0, 0.0, 15.0, 12.0, 1.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 15.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 16.0, 1.0, 0.0, 0.0], [0.0, 0.0, 0.0, 8.0, 16.0, 16.0, 7.0, 0.0, 0.0, 0.0, 15.0, 16.0, 10.0, 8.0, 1.0, 0.0, 0.0, 3.0, 16.0, 12.0, 5.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 16.0, 16.0, 3.0, 0.0, 0.0, 0.0, 8.0, 11.0, 2.0, 13.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 14.0, 2.0, 0.0, 0.0], [0.0, 0.0, 5.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 5.0, 12.0, 6.0, 0.0, 0.0, 0.0, 4.0, 14.0, 0.0, 2.0, 13.0, 0.0, 0.0, 0.0, 4.0, 10.0, 0.0, 0.0, 9.0, 8.0, 0.0, 0.0, 5.0, 8.0, 0.0, 0.0, 8.0, 8.0, 0.0, 0.0, 2.0, 11.0, 0.0, 0.0, 9.0, 6.0, 0.0, 0.0, 0.0, 15.0, 6.0, 8.0, 15.0, 1.0, 0.0, 0.0, 0.0, 4.0, 13.0, 12.0, 3.0, 0.0, 0.0], [0.0, 1.0, 12.0, 15.0, 10.0, 2.0, 0.0, 0.0, 0.0, 4.0, 14.0, 1.0, 6.0, 12.0, 2.0, 0.0, 0.0, 7.0, 15.0, 0.0, 1.0, 14.0, 4.0, 0.0, 0.0, 3.0, 15.0, 12.0, 15.0, 10.0, 0.0, 0.0, 0.0, 0.0, 3.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 13.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 6.0, 0.0, 0.0, 0.0, 0.0, 11.0, 12.0, 13.0, 4.0, 0.0, 0.0], [0.0, 1.0, 12.0, 16.0, 16.0, 16.0, 4.0, 0.0, 0.0, 4.0, 16.0, 10.0, 4.0, 1.0, 1.0, 0.0, 0.0, 6.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 12.0, 5.0, 0.0, 0.0, 0.0, 0.0, 7.0, 11.0, 11.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 2.0, 13.0, 10.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 11.0, 0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 10.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 13.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 12.0, 1.0, 11.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 6.0, 4.0, 0.0, 0.0, 0.0, 5.0, 16.0, 16.0, 16.0, 16.0, 4.0, 0.0, 0.0, 11.0, 15.0, 9.0, 8.0, 6.0, 0.0], [0.0, 1.0, 14.0, 14.0, 6.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 1.0, 14.0, 2.0, 0.0, 0.0, 0.0, 0.0, 10.0, 7.0, 10.0, 6.0, 4.0, 0.0, 0.0, 0.0, 1.0, 12.0, 16.0, 14.0, 5.0, 0.0, 0.0, 0.0, 3.0, 14.0, 16.0, 4.0, 0.0, 0.0, 0.0, 1.0, 15.0, 5.0, 6.0, 12.0, 0.0, 0.0, 0.0, 4.0, 10.0, 0.0, 1.0, 15.0, 0.0, 0.0, 0.0, 1.0, 12.0, 12.0, 12.0, 5.0, 0.0, 0.0], [0.0, 1.0, 11.0, 16.0, 16.0, 10.0, 0.0, 0.0, 0.0, 8.0, 16.0, 11.0, 7.0, 16.0, 1.0, 0.0, 0.0, 7.0, 11.0, 0.0, 5.0, 16.0, 2.0, 0.0, 0.0, 0.0, 2.0, 0.0, 7.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 5.0, 15.0, 16.0, 11.0, 6.0, 0.0, 0.0, 0.0, 14.0, 16.0, 13.0, 13.0, 16.0, 5.0], [0.0, 0.0, 2.0, 14.0, 14.0, 6.0, 0.0, 0.0, 0.0, 0.0, 10.0, 15.0, 11.0, 15.0, 2.0, 0.0, 0.0, 3.0, 16.0, 3.0, 0.0, 12.0, 6.0, 0.0, 0.0, 3.0, 9.0, 0.0, 0.0, 9.0, 10.0, 0.0, 0.0, 10.0, 11.0, 0.0, 0.0, 8.0, 12.0, 0.0, 0.0, 7.0, 16.0, 1.0, 0.0, 11.0, 13.0, 0.0, 0.0, 0.0, 15.0, 14.0, 12.0, 15.0, 10.0, 0.0, 0.0, 0.0, 3.0, 14.0, 16.0, 13.0, 5.0, 0.0], [0.0, 0.0, 5.0, 15.0, 13.0, 2.0, 0.0, 0.0, 0.0, 1.0, 15.0, 11.0, 8.0, 13.0, 0.0, 0.0, 0.0, 5.0, 14.0, 0.0, 0.0, 14.0, 5.0, 0.0, 0.0, 9.0, 16.0, 1.0, 0.0, 7.0, 9.0, 0.0, 0.0, 9.0, 13.0, 0.0, 0.0, 5.0, 14.0, 0.0, 0.0, 6.0, 16.0, 2.0, 0.0, 5.0, 15.0, 0.0, 0.0, 2.0, 14.0, 11.0, 5.0, 14.0, 12.0, 0.0, 0.0, 0.0, 5.0, 15.0, 16.0, 15.0, 3.0, 0.0], [0.0, 0.0, 4.0, 15.0, 12.0, 2.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 14.0, 2.0, 0.0, 0.0, 0.0, 0.0, 12.0, 16.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 12.0, 1.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 12.0, 12.0, 0.0, 0.0, 0.0], [0.0, 0.0, 10.0, 15.0, 8.0, 13.0, 6.0, 0.0, 0.0, 0.0, 13.0, 14.0, 14.0, 15.0, 2.0, 0.0, 0.0, 1.0, 15.0, 0.0, 13.0, 7.0, 0.0, 0.0, 0.0, 2.0, 7.0, 9.0, 16.0, 13.0, 13.0, 0.0, 0.0, 0.0, 10.0, 16.0, 11.0, 7.0, 2.0, 0.0, 0.0, 0.0, 4.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 4.0, 0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 9.0, 15.0, 2.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 11.0, 1.0, 0.0, 0.0, 0.0, 0.0, 13.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 11.0, 4.0, 4.0, 0.0, 0.0, 0.0, 2.0, 15.0, 16.0, 16.0, 14.0, 10.0, 1.0, 0.0, 0.0, 9.0, 16.0, 7.0, 3.0, 15.0, 6.0, 0.0, 0.0, 0.0, 7.0, 15.0, 16.0, 16.0, 6.0], [0.0, 1.0, 10.0, 14.0, 13.0, 4.0, 0.0, 0.0, 0.0, 12.0, 11.0, 5.0, 8.0, 14.0, 0.0, 0.0, 0.0, 8.0, 3.0, 2.0, 12.0, 8.0, 0.0, 0.0, 0.0, 0.0, 3.0, 15.0, 15.0, 4.0, 0.0, 0.0, 0.0, 0.0, 1.0, 4.0, 7.0, 14.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 11.0, 11.0, 0.0, 0.0, 0.0, 12.0, 16.0, 16.0, 9.0, 1.0, 0.0], [0.0, 1.0, 15.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 7.0, 15.0, 10.0, 16.0, 0.0, 0.0, 0.0, 0.0, 4.0, 12.0, 1.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 2.0, 3.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 14.0, 14.0, 15.0, 3.0, 0.0, 1.0, 15.0, 16.0, 16.0, 16.0, 16.0, 5.0], [0.0, 0.0, 3.0, 15.0, 12.0, 2.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 15.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 16.0, 6.0, 0.0, 0.0], [0.0, 0.0, 11.0, 8.0, 4.0, 13.0, 16.0, 3.0, 0.0, 2.0, 16.0, 16.0, 16.0, 14.0, 9.0, 1.0, 0.0, 4.0, 13.0, 6.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 2.0, 15.0, 10.0, 0.0, 0.0, 0.0, 0.0, 5.0, 13.0, 16.0, 14.0, 12.0, 2.0, 0.0, 0.0, 8.0, 15.0, 15.0, 12.0, 12.0, 2.0, 0.0, 0.0, 0.0, 15.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 9.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 5.0, 0.0, 1.0, 0.0, 0.0, 2.0, 14.0, 9.0, 0.0, 5.0, 15.0, 1.0, 0.0, 8.0, 16.0, 9.0, 12.0, 16.0, 9.0, 0.0, 0.0, 5.0, 16.0, 13.0, 13.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 15.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 12.0, 0.0, 0.0, 0.0], [0.0, 0.0, 1.0, 13.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 5.0, 9.0, 9.0, 3.0, 0.0, 0.0, 0.0, 12.0, 16.0, 13.0, 9.0, 14.0, 1.0, 0.0, 0.0, 8.0, 15.0, 0.0, 1.0, 14.0, 5.0, 0.0, 0.0, 1.0, 11.0, 16.0, 16.0, 13.0, 1.0], [0.0, 1.0, 10.0, 15.0, 16.0, 11.0, 0.0, 0.0, 0.0, 8.0, 11.0, 4.0, 7.0, 14.0, 0.0, 0.0, 0.0, 7.0, 1.0, 2.0, 13.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 14.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 9.0, 0.0, 0.0, 0.0, 2.0, 0.0, 3.0, 11.0, 7.0, 0.0, 0.0, 0.0, 15.0, 16.0, 16.0, 7.0, 0.0, 0.0], [0.0, 0.0, 13.0, 14.0, 10.0, 2.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 16.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 16.0, 16.0, 4.0, 0.0, 0.0, 0.0, 4.0, 16.0, 16.0, 14.0, 2.0, 0.0, 0.0, 0.0, 8.0, 16.0, 16.0, 7.0, 0.0, 0.0, 0.0, 3.0, 15.0, 16.0, 16.0, 4.0, 0.0, 0.0, 0.0, 1.0, 16.0, 16.0, 14.0, 1.0, 0.0, 0.0, 0.0, 0.0, 14.0, 16.0, 13.0, 3.0, 0.0, 0.0], [0.0, 0.0, 3.0, 11.0, 14.0, 12.0, 3.0, 0.0, 0.0, 2.0, 13.0, 10.0, 4.0, 10.0, 12.0, 0.0, 0.0, 2.0, 11.0, 2.0, 0.0, 9.0, 9.0, 0.0, 0.0, 0.0, 0.0, 3.0, 10.0, 10.0, 1.0, 0.0, 0.0, 0.0, 7.0, 16.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 3.0, 0.0, 14.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 13.0, 2.0, 0.0, 0.0, 0.0, 3.0, 7.0, 14.0, 5.0, 0.0, 0.0, 0.0], [0.0, 0.0, 11.0, 12.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 8.0, 13.0, 2.0, 0.0, 0.0, 0.0, 0.0, 7.0, 11.0, 9.0, 9.0, 0.0, 0.0, 0.0, 4.0, 12.0, 12.0, 16.0, 7.0, 0.0, 0.0, 0.0, 2.0, 10.0, 12.0, 9.0, 12.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 2.0, 0.0, 0.0, 6.0, 12.0, 12.0, 13.0, 11.0, 0.0], [0.0, 0.0, 1.0, 11.0, 14.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 16.0, 11.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 13.0, 16.0, 9.0, 0.0, 0.0], [0.0, 0.0, 4.0, 13.0, 16.0, 16.0, 7.0, 0.0, 0.0, 0.0, 15.0, 10.0, 7.0, 16.0, 1.0, 0.0, 0.0, 7.0, 12.0, 0.0, 12.0, 7.0, 0.0, 0.0, 0.0, 9.0, 5.0, 3.0, 16.0, 2.0, 0.0, 0.0, 0.0, 2.0, 11.0, 16.0, 16.0, 12.0, 7.0, 0.0, 0.0, 5.0, 10.0, 16.0, 12.0, 8.0, 3.0, 0.0, 0.0, 0.0, 3.0, 15.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 14.0, 0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 13.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 15.0, 16.0, 14.0, 5.0, 0.0, 0.0, 0.0, 13.0, 7.0, 0.0, 0.0, 13.0, 1.0, 0.0, 0.0, 10.0, 6.0, 0.0, 5.0, 14.0, 0.0, 0.0, 0.0, 2.0, 13.0, 12.0, 15.0, 4.0, 0.0], [0.0, 0.0, 10.0, 15.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 4.0, 11.0, 3.0, 5.0, 0.0, 0.0, 0.0, 14.0, 5.0, 7.0, 10.0, 7.0, 0.0, 0.0, 0.0, 4.0, 13.0, 12.0, 11.0, 0.0, 0.0, 0.0, 0.0, 2.0, 14.0, 12.0, 0.0, 0.0, 0.0, 0.0, 1.0, 14.0, 7.0, 12.0, 4.0, 0.0, 0.0, 0.0, 7.0, 10.0, 0.0, 3.0, 12.0, 0.0, 0.0, 0.0, 1.0, 10.0, 11.0, 12.0, 10.0, 0.0, 0.0], [0.0, 0.0, 0.0, 8.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 3.0, 0.0, 2.0, 0.0, 0.0, 1.0, 16.0, 5.0, 1.0, 10.0, 15.0, 1.0, 0.0, 9.0, 16.0, 4.0, 9.0, 16.0, 7.0, 0.0, 0.0, 7.0, 16.0, 16.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 2.0, 8.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 10.0, 0.0, 0.0, 0.0], [0.0, 1.0, 12.0, 16.0, 13.0, 7.0, 0.0, 0.0, 0.0, 12.0, 11.0, 4.0, 4.0, 15.0, 0.0, 0.0, 0.0, 8.0, 3.0, 0.0, 6.0, 14.0, 2.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 5.0, 13.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 10.0, 0.0, 0.0, 0.0, 10.0, 10.0, 13.0, 14.0, 1.0, 0.0], [0.0, 0.0, 1.0, 12.0, 11.0, 1.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 15.0, 2.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 11.0, 13.0, 1.0, 0.0, 0.0], [0.0, 0.0, 0.0, 9.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 4.0, 0.0, 3.0, 9.0, 0.0, 0.0, 7.0, 14.0, 0.0, 1.0, 14.0, 12.0, 0.0, 0.0, 9.0, 16.0, 12.0, 14.0, 15.0, 1.0, 0.0, 0.0, 0.0, 6.0, 8.0, 15.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 13.0, 0.0, 0.0, 0.0], [0.0, 0.0, 5.0, 15.0, 12.0, 1.0, 0.0, 0.0, 0.0, 0.0, 8.0, 8.0, 6.0, 12.0, 0.0, 0.0, 0.0, 2.0, 5.0, 0.0, 0.0, 12.0, 2.0, 0.0, 0.0, 4.0, 14.0, 0.0, 0.0, 8.0, 6.0, 0.0, 0.0, 7.0, 11.0, 0.0, 0.0, 9.0, 7.0, 0.0, 0.0, 3.0, 13.0, 0.0, 0.0, 12.0, 3.0, 0.0, 0.0, 0.0, 16.0, 5.0, 9.0, 14.0, 1.0, 0.0, 0.0, 0.0, 5.0, 15.0, 11.0, 4.0, 0.0, 0.0], [0.0, 1.0, 13.0, 16.0, 16.0, 11.0, 0.0, 0.0, 0.0, 10.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 15.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 14.0, 5.0, 0.0, 0.0, 0.0, 0.0, 3.0, 15.0, 16.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 11.0, 11.0, 0.0, 0.0, 0.0, 0.0, 1.0, 5.0, 15.0, 9.0, 0.0, 0.0, 0.0, 0.0, 13.0, 16.0, 13.0, 1.0, 0.0, 0.0], [0.0, 1.0, 13.0, 16.0, 16.0, 12.0, 1.0, 0.0, 0.0, 12.0, 15.0, 6.0, 12.0, 16.0, 3.0, 0.0, 0.0, 13.0, 10.0, 10.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 15.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 10.0, 14.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 7.0, 0.0, 0.0, 0.0, 3.0, 1.0, 5.0, 16.0, 9.0, 0.0, 0.0, 1.0, 14.0, 16.0, 16.0, 11.0, 1.0, 0.0], [0.0, 0.0, 2.0, 14.0, 15.0, 3.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 16.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 13.0, 16.0, 10.0, 16.0, 7.0, 0.0, 0.0, 0.0, 3.0, 15.0, 16.0, 16.0, 4.0, 0.0], [0.0, 0.0, 12.0, 16.0, 15.0, 6.0, 0.0, 0.0, 0.0, 0.0, 15.0, 12.0, 7.0, 15.0, 1.0, 0.0, 0.0, 1.0, 15.0, 15.0, 7.0, 16.0, 4.0, 0.0, 0.0, 1.0, 12.0, 16.0, 16.0, 14.0, 1.0, 0.0, 0.0, 0.0, 0.0, 4.0, 10.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 15.0, 3.0, 0.0, 0.0, 0.0, 3.0, 0.0, 2.0, 16.0, 6.0, 0.0, 0.0, 0.0, 13.0, 16.0, 16.0, 15.0, 1.0, 0.0], [0.0, 0.0, 1.0, 10.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 1.0, 5.0, 2.0, 0.0, 0.0, 0.0, 3.0, 16.0, 15.0, 11.0, 9.0, 5.0, 0.0, 0.0, 2.0, 16.0, 6.0, 0.0, 2.0, 14.0, 0.0, 0.0, 0.0, 10.0, 10.0, 1.0, 5.0, 15.0, 0.0, 0.0, 0.0, 1.0, 12.0, 15.0, 14.0, 6.0, 0.0], [0.0, 0.0, 3.0, 16.0, 12.0, 2.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 14.0, 16.0, 3.0, 0.0, 0.0], [0.0, 0.0, 11.0, 16.0, 12.0, 12.0, 16.0, 7.0, 0.0, 3.0, 16.0, 9.0, 8.0, 16.0, 10.0, 0.0, 0.0, 1.0, 10.0, 0.0, 6.0, 14.0, 2.0, 0.0, 0.0, 0.0, 1.0, 8.0, 15.0, 15.0, 11.0, 0.0, 0.0, 0.0, 12.0, 16.0, 15.0, 7.0, 2.0, 0.0, 0.0, 0.0, 4.0, 13.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 12.0, 0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 2.0, 10.0, 16.0, 12.0, 0.0, 0.0, 0.0, 2.0, 15.0, 14.0, 8.0, 1.0, 0.0, 0.0, 0.0, 2.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 14.0, 13.0, 3.0, 0.0, 0.0, 0.0, 10.0, 16.0, 7.0, 11.0, 12.0, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 4.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 2.0, 0.0, 0.0, 0.0, 2.0, 14.0, 16.0, 8.0, 0.0, 0.0], [0.0, 0.0, 0.0, 5.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 15.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 9.0, 0.0, 0.0, 3.0, 0.0, 0.0, 4.0, 14.0, 1.0, 0.0, 8.0, 15.0, 0.0, 0.0, 10.0, 14.0, 12.0, 13.0, 16.0, 6.0, 0.0, 0.0, 5.0, 12.0, 9.0, 11.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 14.0, 1.0, 0.0, 0.0], [0.0, 0.0, 0.0, 11.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 15.0, 2.0, 0.0, 2.0, 1.0, 0.0, 2.0, 16.0, 5.0, 0.0, 4.0, 16.0, 3.0, 0.0, 5.0, 16.0, 8.0, 11.0, 16.0, 9.0, 0.0, 0.0, 4.0, 15.0, 14.0, 13.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 11.0, 0.0, 0.0, 0.0], [0.0, 0.0, 8.0, 16.0, 14.0, 15.0, 0.0, 0.0, 0.0, 0.0, 13.0, 11.0, 15.0, 11.0, 0.0, 0.0, 0.0, 4.0, 14.0, 1.0, 13.0, 5.0, 0.0, 0.0, 0.0, 3.0, 7.0, 8.0, 16.0, 4.0, 3.0, 0.0, 0.0, 0.0, 14.0, 16.0, 16.0, 13.0, 7.0, 0.0, 0.0, 0.0, 5.0, 13.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 6.0, 0.0, 0.0, 0.0, 0.0], [0.0, 2.0, 15.0, 15.0, 3.0, 0.0, 0.0, 0.0, 0.0, 11.0, 15.0, 11.0, 12.0, 0.0, 0.0, 0.0, 0.0, 8.0, 10.0, 0.0, 16.0, 0.0, 0.0, 0.0, 0.0, 1.0, 3.0, 2.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 12.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 16.0, 13.0, 13.0, 15.0, 3.0, 0.0, 2.0, 13.0, 14.0, 12.0, 12.0, 8.0, 1.0], [0.0, 0.0, 9.0, 14.0, 14.0, 3.0, 0.0, 0.0, 0.0, 4.0, 13.0, 1.0, 4.0, 11.0, 0.0, 0.0, 0.0, 1.0, 14.0, 1.0, 11.0, 7.0, 6.0, 0.0, 0.0, 0.0, 15.0, 13.0, 9.0, 12.0, 3.0, 0.0, 0.0, 0.0, 1.0, 14.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 14.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 1.0, 9.0, 5.0, 0.0, 0.0, 0.0, 0.0, 11.0, 12.0, 13.0, 3.0, 0.0, 0.0], [0.0, 0.0, 5.0, 16.0, 15.0, 3.0, 0.0, 0.0, 0.0, 0.0, 13.0, 15.0, 14.0, 7.0, 0.0, 0.0, 0.0, 0.0, 13.0, 4.0, 13.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 15.0, 9.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 16.0, 16.0, 9.0, 13.0, 3.0, 0.0, 0.0, 5.0, 2.0, 9.0, 16.0, 14.0, 3.0], [0.0, 0.0, 7.0, 16.0, 13.0, 2.0, 0.0, 0.0, 0.0, 0.0, 14.0, 15.0, 13.0, 9.0, 0.0, 0.0, 0.0, 0.0, 14.0, 8.0, 9.0, 10.0, 0.0, 0.0, 0.0, 0.0, 1.0, 2.0, 9.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 6.0, 15.0, 16.0, 5.0, 5.0, 5.0, 0.0, 0.0, 6.0, 16.0, 16.0, 16.0, 16.0, 13.0], [0.0, 0.0, 10.0, 16.0, 15.0, 8.0, 2.0, 0.0, 0.0, 9.0, 16.0, 12.0, 8.0, 9.0, 3.0, 0.0, 0.0, 13.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 7.0, 13.0, 8.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 2.0, 12.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0, 13.0, 16.0, 6.0, 0.0, 0.0, 0.0], [0.0, 0.0, 8.0, 11.0, 8.0, 10.0, 14.0, 8.0, 0.0, 3.0, 15.0, 11.0, 12.0, 16.0, 5.0, 1.0, 0.0, 1.0, 16.0, 0.0, 11.0, 8.0, 0.0, 0.0, 0.0, 0.0, 1.0, 5.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 3.0, 15.0, 16.0, 14.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 7.0, 0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 8.0, 15.0, 9.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 10.0, 16.0, 9.0, 0.0, 0.0, 0.0, 2.0, 6.0, 2.0, 16.0, 16.0, 1.0, 0.0, 0.0, 3.0, 9.0, 9.0, 16.0, 14.0, 0.0, 0.0, 0.0, 0.0, 7.0, 5.0, 12.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 12.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 4.0, 0.0, 0.0, 0.0, 9.0, 13.0, 12.0, 10.0, 1.0, 0.0], [0.0, 0.0, 1.0, 10.0, 16.0, 13.0, 0.0, 0.0, 0.0, 2.0, 15.0, 15.0, 9.0, 6.0, 0.0, 0.0, 0.0, 5.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 14.0, 5.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 13.0, 15.0, 3.0, 0.0, 0.0, 0.0, 1.0, 3.0, 0.0, 11.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 13.0, 10.0, 0.0, 0.0, 0.0, 0.0, 1.0, 14.0, 15.0, 3.0, 0.0, 0.0], [0.0, 0.0, 0.0, 9.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 2.0, 15.0, 8.0, 0.0, 1.0, 7.0, 0.0, 0.0, 9.0, 14.0, 0.0, 2.0, 13.0, 14.0, 0.0, 0.0, 8.0, 16.0, 14.0, 15.0, 16.0, 6.0, 0.0, 0.0, 1.0, 7.0, 8.0, 16.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 12.0, 0.0, 0.0, 0.0], [0.0, 0.0, 15.0, 12.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 9.0, 14.0, 1.0, 0.0, 0.0, 0.0, 0.0, 12.0, 10.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 4.0, 10.0, 7.0, 0.0, 0.0, 0.0, 0.0, 11.0, 14.0, 11.0, 0.0, 0.0, 0.0, 0.0, 1.0, 12.0, 13.0, 11.0, 0.0, 0.0, 0.0, 0.0, 12.0, 6.0, 0.0, 9.0, 4.0, 0.0, 0.0, 0.0, 15.0, 4.0, 5.0, 13.0, 6.0, 0.0], [0.0, 1.0, 14.0, 16.0, 16.0, 11.0, 2.0, 0.0, 0.0, 0.0, 14.0, 9.0, 2.0, 10.0, 11.0, 0.0, 0.0, 0.0, 5.0, 16.0, 5.0, 14.0, 5.0, 0.0, 0.0, 0.0, 0.0, 12.0, 16.0, 16.0, 5.0, 0.0, 0.0, 0.0, 7.0, 14.0, 14.0, 8.0, 0.0, 0.0, 0.0, 1.0, 14.0, 3.0, 6.0, 11.0, 0.0, 0.0, 0.0, 4.0, 8.0, 0.0, 8.0, 11.0, 0.0, 0.0, 0.0, 2.0, 13.0, 12.0, 15.0, 2.0, 0.0, 0.0], [0.0, 0.0, 1.0, 10.0, 15.0, 2.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 7.0, 3.0, 5.0, 0.0, 0.0, 3.0, 16.0, 7.0, 3.0, 16.0, 11.0, 0.0, 0.0, 9.0, 14.0, 1.0, 10.0, 14.0, 2.0, 0.0, 0.0, 11.0, 16.0, 16.0, 16.0, 10.0, 0.0, 0.0, 0.0, 2.0, 4.0, 8.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 9.0, 0.0, 0.0, 0.0], [0.0, 0.0, 2.0, 12.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 15.0, 7.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 1.0, 14.0, 1.0, 0.0, 0.0, 0.0, 10.0, 8.0, 11.0, 13.0, 1.0, 0.0, 0.0, 0.0, 9.0, 14.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 10.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 14.0, 2.0, 0.0, 0.0, 5.0, 14.0, 13.0, 14.0, 10.0, 1.0], [0.0, 0.0, 2.0, 12.0, 12.0, 1.0, 0.0, 0.0, 0.0, 2.0, 12.0, 12.0, 6.0, 11.0, 0.0, 0.0, 0.0, 10.0, 13.0, 0.0, 0.0, 10.0, 2.0, 0.0, 0.0, 8.0, 11.0, 0.0, 0.0, 6.0, 6.0, 0.0, 0.0, 7.0, 9.0, 0.0, 0.0, 4.0, 9.0, 0.0, 0.0, 3.0, 13.0, 0.0, 0.0, 8.0, 12.0, 0.0, 0.0, 0.0, 12.0, 12.0, 9.0, 16.0, 7.0, 0.0, 0.0, 0.0, 1.0, 12.0, 16.0, 9.0, 1.0, 0.0], [0.0, 3.0, 14.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 15.0, 15.0, 3.0, 1.0, 1.0, 0.0, 0.0, 0.0, 6.0, 16.0, 4.0, 13.0, 8.0, 0.0, 0.0, 0.0, 0.0, 14.0, 14.0, 13.0, 1.0, 0.0, 0.0, 0.0, 2.0, 15.0, 13.0, 1.0, 0.0, 0.0, 0.0, 1.0, 14.0, 8.0, 15.0, 0.0, 0.0, 0.0, 0.0, 5.0, 12.0, 0.0, 12.0, 3.0, 0.0, 0.0, 0.0, 2.0, 14.0, 13.0, 15.0, 3.0, 0.0, 0.0], [0.0, 0.0, 15.0, 15.0, 10.0, 2.0, 0.0, 0.0, 0.0, 0.0, 16.0, 5.0, 8.0, 11.0, 0.0, 0.0, 0.0, 0.0, 9.0, 12.0, 1.0, 14.0, 4.0, 0.0, 0.0, 0.0, 6.0, 16.0, 16.0, 15.0, 2.0, 0.0, 0.0, 0.0, 0.0, 4.0, 11.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 11.0, 0.0, 0.0, 0.0, 0.0, 10.0, 12.0, 13.0, 11.0, 0.0, 0.0], [0.0, 3.0, 16.0, 9.0, 2.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 13.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 11.0, 14.0, 10.0, 6.0, 0.0, 0.0, 0.0, 2.0, 15.0, 16.0, 10.0, 2.0, 0.0, 0.0, 0.0, 6.0, 14.0, 15.0, 1.0, 0.0, 0.0, 0.0, 3.0, 15.0, 4.0, 9.0, 7.0, 0.0, 0.0, 0.0, 6.0, 13.0, 1.0, 10.0, 9.0, 0.0, 0.0, 0.0, 2.0, 11.0, 12.0, 14.0, 4.0, 0.0, 0.0], [0.0, 0.0, 4.0, 14.0, 14.0, 2.0, 0.0, 0.0, 0.0, 5.0, 16.0, 11.0, 7.0, 10.0, 0.0, 0.0, 0.0, 4.0, 16.0, 4.0, 0.0, 11.0, 1.0, 0.0, 0.0, 7.0, 14.0, 1.0, 0.0, 7.0, 5.0, 0.0, 0.0, 4.0, 10.0, 0.0, 0.0, 7.0, 7.0, 0.0, 0.0, 1.0, 12.0, 0.0, 0.0, 12.0, 3.0, 0.0, 0.0, 0.0, 9.0, 6.0, 6.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 14.0, 4.0, 0.0, 0.0], [0.0, 0.0, 0.0, 5.0, 15.0, 13.0, 1.0, 0.0, 0.0, 0.0, 2.0, 14.0, 16.0, 14.0, 0.0, 0.0, 0.0, 1.0, 13.0, 16.0, 16.0, 12.0, 0.0, 0.0, 0.0, 9.0, 16.0, 14.0, 16.0, 6.0, 0.0, 0.0, 0.0, 3.0, 5.0, 6.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 15.0, 13.0, 1.0, 0.0], [0.0, 2.0, 14.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 12.0, 14.0, 12.0, 15.0, 0.0, 0.0, 0.0, 0.0, 11.0, 2.0, 8.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 14.0, 13.0, 8.0, 8.0, 7.0, 0.0, 0.0, 2.0, 15.0, 16.0, 16.0, 15.0, 8.0, 0.0], [0.0, 1.0, 9.0, 15.0, 16.0, 6.0, 0.0, 0.0, 0.0, 13.0, 15.0, 10.0, 16.0, 11.0, 0.0, 0.0, 0.0, 5.0, 3.0, 4.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 13.0, 15.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 13.0, 11.0, 0.0, 0.0, 0.0, 12.0, 5.0, 3.0, 13.0, 14.0, 0.0, 0.0, 0.0, 10.0, 16.0, 16.0, 14.0, 5.0, 0.0], [0.0, 0.0, 0.0, 8.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 1.0, 14.0, 10.0, 0.0, 7.0, 7.0, 0.0, 0.0, 5.0, 16.0, 3.0, 1.0, 16.0, 7.0, 0.0, 0.0, 8.0, 16.0, 11.0, 13.0, 16.0, 3.0, 0.0, 0.0, 1.0, 11.0, 15.0, 16.0, 13.0, 3.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 10.0, 0.0, 0.0, 0.0], [0.0, 0.0, 5.0, 12.0, 16.0, 9.0, 0.0, 0.0, 0.0, 7.0, 16.0, 10.0, 3.0, 0.0, 0.0, 0.0, 0.0, 8.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 14.0, 4.0, 6.0, 0.0, 0.0, 0.0, 0.0, 4.0, 14.0, 12.0, 13.0, 13.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 15.0, 7.0, 0.0, 0.0, 0.0, 4.0, 12.0, 13.0, 8.0, 0.0, 0.0], [0.0, 0.0, 6.0, 15.0, 4.0, 0.0, 0.0, 0.0, 0.0, 1.0, 14.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 11.0, 0.0, 2.0, 1.0, 0.0, 0.0, 0.0, 4.0, 13.0, 12.0, 16.0, 13.0, 3.0, 0.0, 0.0, 1.0, 16.0, 2.0, 1.0, 8.0, 10.0, 0.0, 0.0, 0.0, 12.0, 4.0, 0.0, 11.0, 12.0, 0.0, 0.0, 0.0, 4.0, 13.0, 12.0, 14.0, 2.0, 0.0], [0.0, 0.0, 8.0, 14.0, 16.0, 16.0, 2.0, 0.0, 0.0, 0.0, 11.0, 6.0, 7.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 12.0, 0.0, 0.0, 0.0, 1.0, 11.0, 16.0, 16.0, 16.0, 12.0, 0.0, 0.0, 2.0, 12.0, 13.0, 13.0, 2.0, 0.0, 0.0, 0.0, 0.0, 1.0, 14.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 7.0, 0.0, 0.0, 0.0, 0.0], [0.0, 1.0, 10.0, 9.0, 11.0, 5.0, 0.0, 0.0, 1.0, 14.0, 8.0, 1.0, 2.0, 11.0, 0.0, 0.0, 0.0, 14.0, 3.0, 0.0, 11.0, 5.0, 0.0, 0.0, 0.0, 2.0, 12.0, 12.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 15.0, 14.0, 4.0, 0.0, 0.0, 0.0, 0.0, 11.0, 5.0, 1.0, 12.0, 2.0, 0.0, 0.0, 0.0, 13.0, 0.0, 0.0, 14.0, 2.0, 0.0, 0.0, 0.0, 9.0, 13.0, 16.0, 9.0, 0.0, 0.0], [0.0, 0.0, 9.0, 16.0, 15.0, 3.0, 0.0, 0.0, 0.0, 6.0, 16.0, 11.0, 10.0, 12.0, 0.0, 0.0, 0.0, 7.0, 15.0, 1.0, 1.0, 15.0, 5.0, 0.0, 0.0, 3.0, 16.0, 6.0, 9.0, 16.0, 9.0, 0.0, 0.0, 0.0, 5.0, 11.0, 13.0, 14.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 11.0, 0.0, 0.0, 0.0, 10.0, 16.0, 16.0, 15.0, 6.0, 0.0], [0.0, 0.0, 3.0, 14.0, 9.0, 3.0, 0.0, 0.0, 0.0, 0.0, 11.0, 13.0, 8.0, 14.0, 2.0, 0.0, 0.0, 2.0, 16.0, 3.0, 0.0, 9.0, 4.0, 0.0, 0.0, 5.0, 12.0, 0.0, 0.0, 4.0, 8.0, 0.0, 0.0, 8.0, 8.0, 0.0, 0.0, 7.0, 8.0, 0.0, 0.0, 5.0, 11.0, 0.0, 2.0, 15.0, 3.0, 0.0, 0.0, 0.0, 14.0, 5.0, 13.0, 7.0, 0.0, 0.0, 0.0, 0.0, 5.0, 14.0, 5.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 0.0, 13.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 14.0, 0.0, 0.0, 0.0, 1.0, 12.0, 16.0, 16.0, 11.0, 0.0, 0.0, 0.0, 11.0, 16.0, 12.0, 16.0, 8.0, 0.0, 0.0, 0.0, 6.0, 4.0, 7.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 11.0, 0.0, 0.0], [0.0, 0.0, 11.0, 16.0, 12.0, 1.0, 0.0, 0.0, 0.0, 3.0, 16.0, 9.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 6.0, 1.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 15.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 4.0, 5.0, 8.0, 1.0, 0.0, 0.0, 13.0, 16.0, 16.0, 16.0, 16.0, 6.0], [0.0, 0.0, 7.0, 14.0, 16.0, 13.0, 1.0, 0.0, 0.0, 9.0, 15.0, 8.0, 10.0, 16.0, 7.0, 0.0, 0.0, 5.0, 1.0, 0.0, 14.0, 14.0, 1.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 7.0, 0.0, 0.0, 0.0, 9.0, 7.0, 6.0, 16.0, 9.0, 0.0, 0.0, 0.0, 5.0, 15.0, 16.0, 11.0, 3.0, 0.0], [0.0, 0.0, 0.0, 1.0, 15.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 15.0, 3.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 5.0, 3.0, 6.0, 0.0, 0.0, 5.0, 16.0, 8.0, 0.0, 12.0, 13.0, 0.0, 0.0, 12.0, 14.0, 4.0, 8.0, 16.0, 9.0, 0.0, 0.0, 12.0, 16.0, 16.0, 16.0, 16.0, 0.0, 0.0, 0.0, 0.0, 4.0, 2.0, 14.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 9.0, 0.0, 0.0], [0.0, 1.0, 12.0, 16.0, 16.0, 15.0, 0.0, 0.0, 0.0, 7.0, 16.0, 9.0, 4.0, 3.0, 0.0, 0.0, 0.0, 10.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 15.0, 8.0, 7.0, 1.0, 0.0, 0.0, 0.0, 2.0, 13.0, 16.0, 16.0, 15.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 14.0, 0.0, 0.0, 0.0, 2.0, 7.0, 13.0, 16.0, 9.0, 0.0, 0.0, 0.0, 14.0, 16.0, 12.0, 5.0, 0.0, 0.0], [0.0, 0.0, 3.0, 13.0, 16.0, 7.0, 0.0, 0.0, 0.0, 1.0, 12.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 10.0, 11.0, 4.0, 0.0, 0.0, 0.0, 6.0, 16.0, 14.0, 13.0, 16.0, 3.0, 0.0, 0.0, 1.0, 11.0, 11.0, 2.0, 14.0, 10.0, 0.0, 0.0, 0.0, 2.0, 15.0, 16.0, 15.0, 6.0, 0.0], [0.0, 0.0, 5.0, 13.0, 16.0, 16.0, 6.0, 0.0, 0.0, 0.0, 12.0, 6.0, 4.0, 13.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 15.0, 3.0, 0.0, 0.0, 0.0, 0.0, 2.0, 10.0, 13.0, 2.0, 0.0, 0.0, 2.0, 12.0, 16.0, 16.0, 12.0, 5.0, 0.0, 0.0, 1.0, 6.0, 9.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 11.0, 0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 10.0, 16.0, 16.0, 8.0, 0.0, 0.0, 0.0, 5.0, 16.0, 6.0, 7.0, 14.0, 0.0, 0.0, 0.0, 3.0, 16.0, 3.0, 13.0, 9.0, 0.0, 0.0, 0.0, 0.0, 13.0, 15.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 15.0, 6.0, 0.0, 0.0, 0.0, 0.0, 1.0, 15.0, 12.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 10.0, 0.0, 0.0, 0.0], [0.0, 0.0, 8.0, 16.0, 10.0, 2.0, 0.0, 0.0, 0.0, 0.0, 12.0, 13.0, 14.0, 11.0, 0.0, 0.0, 0.0, 0.0, 10.0, 13.0, 8.0, 16.0, 2.0, 0.0, 0.0, 0.0, 4.0, 15.0, 15.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 3.0, 8.0, 11.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 4.0, 0.0, 0.0, 1.0, 2.0, 2.0, 7.0, 16.0, 5.0, 0.0, 0.0, 3.0, 14.0, 16.0, 16.0, 11.0, 1.0], [0.0, 0.0, 7.0, 11.0, 3.0, 1.0, 0.0, 0.0, 0.0, 1.0, 14.0, 16.0, 13.0, 13.0, 0.0, 0.0, 0.0, 3.0, 16.0, 12.0, 1.0, 6.0, 6.0, 0.0, 0.0, 4.0, 10.0, 4.0, 0.0, 4.0, 8.0, 0.0, 0.0, 8.0, 8.0, 0.0, 0.0, 11.0, 5.0, 0.0, 0.0, 7.0, 9.0, 0.0, 2.0, 14.0, 0.0, 0.0, 0.0, 1.0, 12.0, 4.0, 12.0, 10.0, 0.0, 0.0, 0.0, 0.0, 6.0, 14.0, 9.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 8.0, 13.0, 3.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 16.0, 8.0, 0.0, 0.0, 0.0, 12.0, 16.0, 16.0, 16.0, 2.0, 0.0, 0.0, 0.0, 9.0, 9.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 15.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 13.0, 2.0, 0.0, 0.0], [0.0, 2.0, 10.0, 14.0, 16.0, 12.0, 0.0, 0.0, 0.0, 10.0, 12.0, 7.0, 10.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 15.0, 12.0, 16.0, 10.0, 0.0, 0.0, 1.0, 16.0, 13.0, 9.0, 3.0, 0.0, 0.0], [0.0, 1.0, 8.0, 10.0, 14.0, 10.0, 0.0, 0.0, 0.0, 12.0, 10.0, 6.0, 6.0, 16.0, 2.0, 0.0, 0.0, 3.0, 0.0, 0.0, 7.0, 14.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 12.0, 0.0, 0.0, 0.0, 4.0, 0.0, 2.0, 11.0, 9.0, 0.0, 0.0, 0.0, 12.0, 16.0, 14.0, 12.0, 4.0, 0.0], [0.0, 0.0, 0.0, 11.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 10.0, 4.0, 11.0, 0.0, 0.0, 0.0, 11.0, 13.0, 0.0, 9.0, 16.0, 0.0, 0.0, 0.0, 12.0, 13.0, 5.0, 14.0, 16.0, 8.0, 0.0, 0.0, 3.0, 12.0, 14.0, 16.0, 11.0, 3.0, 0.0, 0.0, 0.0, 0.0, 10.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 8.0, 0.0, 0.0, 0.0], [0.0, 5.0, 15.0, 12.0, 12.0, 12.0, 4.0, 0.0, 0.0, 10.0, 14.0, 12.0, 12.0, 9.0, 7.0, 0.0, 0.0, 12.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 15.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 4.0, 0.0, 0.0, 0.0, 0.0, 1.0, 7.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 4.0, 15.0, 12.0, 0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 6.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 10.0, 12.0, 9.0, 2.0, 0.0, 0.0, 0.0, 13.0, 8.0, 2.0, 5.0, 13.0, 0.0, 0.0, 0.0, 6.0, 11.0, 1.0, 2.0, 16.0, 3.0, 0.0, 0.0, 0.0, 8.0, 11.0, 14.0, 11.0, 2.0], [0.0, 0.0, 2.0, 9.0, 14.0, 16.0, 15.0, 0.0, 0.0, 3.0, 16.0, 13.0, 8.0, 10.0, 16.0, 0.0, 0.0, 1.0, 2.0, 0.0, 0.0, 11.0, 9.0, 0.0, 0.0, 0.0, 3.0, 11.0, 12.0, 16.0, 11.0, 0.0, 0.0, 0.0, 12.0, 14.0, 16.0, 12.0, 2.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 5.0, 0.0, 0.0, 0.0], [0.0, 1.0, 12.0, 15.0, 16.0, 13.0, 1.0, 0.0, 0.0, 4.0, 16.0, 15.0, 7.0, 15.0, 4.0, 0.0, 0.0, 0.0, 16.0, 6.0, 11.0, 15.0, 2.0, 0.0, 0.0, 0.0, 9.0, 16.0, 15.0, 4.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 15.0, 11.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 10.0, 12.0, 0.0, 0.0, 0.0, 0.0, 2.0, 13.0, 16.0, 10.0, 0.0, 0.0, 0.0], [0.0, 0.0, 13.0, 14.0, 9.0, 1.0, 0.0, 0.0, 0.0, 5.0, 16.0, 12.0, 12.0, 12.0, 1.0, 0.0, 0.0, 6.0, 16.0, 2.0, 2.0, 16.0, 5.0, 0.0, 0.0, 3.0, 16.0, 5.0, 3.0, 16.0, 9.0, 0.0, 0.0, 0.0, 9.0, 16.0, 16.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 6.0, 7.0, 15.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 5.0, 0.0, 0.0, 0.0, 10.0, 16.0, 16.0, 12.0, 0.0, 0.0], [0.0, 0.0, 9.0, 14.0, 15.0, 6.0, 0.0, 0.0, 0.0, 2.0, 16.0, 12.0, 1.0, 13.0, 0.0, 0.0, 0.0, 3.0, 12.0, 7.0, 0.0, 8.0, 4.0, 0.0, 0.0, 6.0, 11.0, 4.0, 0.0, 7.0, 2.0, 0.0, 0.0, 4.0, 9.0, 0.0, 0.0, 12.0, 1.0, 0.0, 0.0, 3.0, 9.0, 0.0, 4.0, 11.0, 0.0, 0.0, 0.0, 1.0, 12.0, 5.0, 12.0, 3.0, 0.0, 0.0, 0.0, 0.0, 6.0, 14.0, 5.0, 0.0, 0.0, 0.0], [0.0, 1.0, 9.0, 15.0, 13.0, 4.0, 0.0, 0.0, 0.0, 8.0, 12.0, 4.0, 8.0, 8.0, 0.0, 0.0, 0.0, 9.0, 11.0, 0.0, 5.0, 16.0, 3.0, 0.0, 0.0, 4.0, 13.0, 8.0, 16.0, 16.0, 6.0, 0.0, 0.0, 0.0, 4.0, 8.0, 2.0, 11.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 8.0, 0.0, 0.0, 0.0, 7.0, 0.0, 3.0, 14.0, 6.0, 0.0, 0.0, 0.0, 7.0, 16.0, 14.0, 8.0, 0.0, 0.0], [0.0, 1.0, 7.0, 14.0, 16.0, 12.0, 1.0, 0.0, 0.0, 7.0, 16.0, 9.0, 6.0, 11.0, 1.0, 0.0, 0.0, 11.0, 12.0, 4.0, 1.0, 0.0, 0.0, 0.0, 0.0, 12.0, 16.0, 16.0, 15.0, 6.0, 0.0, 0.0, 0.0, 3.0, 9.0, 4.0, 11.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 13.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 15.0, 3.0, 0.0, 0.0], [0.0, 3.0, 16.0, 13.0, 15.0, 16.0, 11.0, 0.0, 0.0, 5.0, 16.0, 14.0, 12.0, 8.0, 10.0, 0.0, 0.0, 2.0, 16.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 11.0, 0.0, 0.0, 0.0, 3.0, 6.0, 8.0, 16.0, 7.0, 0.0, 0.0, 0.0, 2.0, 15.0, 15.0, 9.0, 0.0, 0.0, 0.0], [0.0, 0.0, 2.0, 14.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 8.0, 4.0, 2.0, 0.0, 0.0, 0.0, 4.0, 16.0, 16.0, 16.0, 15.0, 3.0, 0.0, 0.0, 2.0, 16.0, 12.0, 4.0, 6.0, 16.0, 2.0, 0.0, 0.0, 13.0, 8.0, 3.0, 6.0, 16.0, 6.0, 0.0, 0.0, 2.0, 13.0, 14.0, 16.0, 12.0, 1.0], [0.0, 3.0, 14.0, 14.0, 16.0, 16.0, 10.0, 0.0, 0.0, 9.0, 15.0, 9.0, 7.0, 1.0, 0.0, 0.0, 0.0, 10.0, 16.0, 11.0, 1.0, 0.0, 0.0, 0.0, 0.0, 1.0, 7.0, 14.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 15.0, 0.0, 0.0, 0.0, 0.0, 1.0, 1.0, 11.0, 10.0, 0.0, 0.0, 0.0, 0.0, 3.0, 15.0, 16.0, 4.0, 0.0, 0.0, 0.0], [0.0, 0.0, 7.0, 14.0, 16.0, 13.0, 1.0, 0.0, 0.0, 0.0, 15.0, 13.0, 3.0, 13.0, 8.0, 0.0, 0.0, 6.0, 15.0, 2.0, 0.0, 8.0, 8.0, 0.0, 0.0, 6.0, 16.0, 0.0, 0.0, 6.0, 11.0, 0.0, 0.0, 9.0, 13.0, 0.0, 0.0, 13.0, 9.0, 0.0, 0.0, 5.0, 15.0, 0.0, 5.0, 16.0, 5.0, 0.0, 0.0, 4.0, 16.0, 9.0, 16.0, 12.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 12.0, 3.0, 0.0, 0.0], [0.0, 0.0, 6.0, 12.0, 14.0, 4.0, 0.0, 0.0, 0.0, 2.0, 15.0, 2.0, 1.0, 15.0, 0.0, 0.0, 0.0, 2.0, 14.0, 0.0, 3.0, 16.0, 2.0, 0.0, 0.0, 0.0, 13.0, 5.0, 14.0, 14.0, 6.0, 0.0, 0.0, 0.0, 2.0, 8.0, 4.0, 7.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 9.0, 0.0, 0.0, 0.0, 5.0, 0.0, 5.0, 14.0, 3.0, 0.0, 0.0, 0.0, 7.0, 13.0, 12.0, 4.0, 0.0, 0.0], [0.0, 1.0, 13.0, 9.0, 8.0, 13.0, 2.0, 0.0, 0.0, 10.0, 7.0, 0.0, 0.0, 12.0, 2.0, 0.0, 0.0, 9.0, 6.0, 0.0, 9.0, 6.0, 0.0, 0.0, 0.0, 1.0, 13.0, 10.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 2.0, 12.0, 5.0, 12.0, 1.0, 0.0, 0.0, 0.0, 4.0, 9.0, 0.0, 9.0, 5.0, 0.0, 0.0, 0.0, 1.0, 12.0, 11.0, 8.0, 0.0, 0.0, 0.0], [0.0, 1.0, 7.0, 14.0, 10.0, 0.0, 0.0, 0.0, 0.0, 10.0, 12.0, 5.0, 9.0, 7.0, 0.0, 0.0, 0.0, 10.0, 6.0, 0.0, 6.0, 15.0, 0.0, 0.0, 0.0, 5.0, 11.0, 11.0, 14.0, 15.0, 1.0, 0.0, 0.0, 0.0, 2.0, 7.0, 1.0, 10.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 5.0, 0.0, 0.0, 0.0, 5.0, 3.0, 0.0, 13.0, 5.0, 0.0, 0.0, 0.0, 4.0, 14.0, 14.0, 12.0, 2.0, 0.0], [0.0, 0.0, 13.0, 14.0, 12.0, 15.0, 4.0, 0.0, 0.0, 0.0, 16.0, 5.0, 5.0, 16.0, 5.0, 0.0, 0.0, 0.0, 13.0, 7.0, 15.0, 4.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 2.0, 13.0, 10.0, 6.0, 0.0, 0.0, 0.0, 0.0, 8.0, 5.0, 1.0, 15.0, 0.0, 0.0, 0.0, 0.0, 5.0, 8.0, 1.0, 16.0, 0.0, 0.0, 0.0, 0.0, 1.0, 10.0, 16.0, 8.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 3.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 2.0, 5.0, 12.0, 0.0, 0.0, 3.0, 15.0, 8.0, 0.0, 11.0, 13.0, 0.0, 0.0, 9.0, 16.0, 4.0, 7.0, 16.0, 8.0, 0.0, 0.0, 9.0, 16.0, 16.0, 16.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 9.0, 0.0, 0.0], [0.0, 0.0, 7.0, 16.0, 13.0, 4.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 14.0, 1.0, 0.0, 0.0, 0.0, 0.0, 4.0, 12.0, 14.0, 8.0, 0.0, 0.0], [0.0, 0.0, 12.0, 16.0, 16.0, 12.0, 0.0, 0.0, 0.0, 0.0, 6.0, 4.0, 10.0, 13.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 9.0, 0.0, 0.0, 0.0, 0.0, 5.0, 9.0, 16.0, 16.0, 12.0, 0.0, 0.0, 3.0, 16.0, 16.0, 11.0, 3.0, 0.0, 0.0, 0.0, 0.0, 7.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0], [0.0, 1.0, 9.0, 12.0, 16.0, 16.0, 4.0, 0.0, 0.0, 1.0, 11.0, 8.0, 7.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 13.0, 0.0, 0.0, 0.0, 0.0, 5.0, 11.0, 15.0, 15.0, 9.0, 0.0, 0.0, 0.0, 16.0, 15.0, 13.0, 5.0, 2.0, 0.0, 0.0, 0.0, 2.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 14.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 10.0, 0.0, 0.0, 0.0, 0.0], [0.0, 2.0, 10.0, 15.0, 16.0, 16.0, 14.0, 0.0, 0.0, 7.0, 11.0, 4.0, 6.0, 15.0, 9.0, 0.0, 0.0, 0.0, 0.0, 6.0, 15.0, 12.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 15.0, 2.0, 0.0, 0.0, 0.0, 0.0, 1.0, 6.0, 16.0, 2.0, 0.0, 0.0, 0.0, 1.0, 16.0, 16.0, 6.0, 0.0, 0.0, 0.0], [0.0, 0.0, 2.0, 12.0, 16.0, 16.0, 7.0, 0.0, 0.0, 0.0, 10.0, 13.0, 7.0, 8.0, 3.0, 0.0, 0.0, 2.0, 15.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 14.0, 7.0, 5.0, 1.0, 0.0, 0.0, 0.0, 5.0, 16.0, 16.0, 16.0, 15.0, 6.0, 0.0, 0.0, 0.0, 4.0, 4.0, 4.0, 14.0, 8.0, 0.0, 0.0, 0.0, 0.0, 4.0, 7.0, 14.0, 5.0, 0.0, 0.0, 0.0, 2.0, 15.0, 15.0, 5.0, 0.0, 0.0], [0.0, 0.0, 0.0, 4.0, 15.0, 12.0, 0.0, 0.0, 0.0, 0.0, 5.0, 15.0, 16.0, 11.0, 0.0, 0.0, 0.0, 8.0, 16.0, 16.0, 16.0, 4.0, 0.0, 0.0, 0.0, 14.0, 11.0, 11.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 5.0, 0.0, 0.0], [0.0, 2.0, 8.0, 15.0, 16.0, 10.0, 0.0, 0.0, 0.0, 11.0, 16.0, 10.0, 4.0, 15.0, 1.0, 0.0, 0.0, 12.0, 13.0, 0.0, 0.0, 13.0, 5.0, 0.0, 0.0, 11.0, 13.0, 0.0, 0.0, 15.0, 7.0, 0.0, 0.0, 8.0, 16.0, 0.0, 0.0, 15.0, 6.0, 0.0, 0.0, 6.0, 16.0, 1.0, 5.0, 16.0, 2.0, 0.0, 0.0, 2.0, 16.0, 6.0, 15.0, 12.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 14.0, 1.0, 0.0, 0.0], [0.0, 0.0, 8.0, 15.0, 16.0, 11.0, 0.0, 0.0, 0.0, 2.0, 16.0, 10.0, 4.0, 14.0, 4.0, 0.0, 0.0, 6.0, 16.0, 2.0, 0.0, 8.0, 8.0, 0.0, 0.0, 10.0, 12.0, 0.0, 0.0, 11.0, 6.0, 0.0, 0.0, 9.0, 11.0, 0.0, 0.0, 15.0, 6.0, 0.0, 0.0, 8.0, 12.0, 0.0, 7.0, 15.0, 1.0, 0.0, 0.0, 2.0, 15.0, 7.0, 15.0, 9.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 12.0, 1.0, 0.0, 0.0], [0.0, 1.0, 13.0, 16.0, 15.0, 6.0, 0.0, 0.0, 0.0, 10.0, 15.0, 9.0, 11.0, 15.0, 0.0, 0.0, 0.0, 7.0, 9.0, 0.0, 12.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0, 2.0, 15.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 10.0, 9.0, 16.0, 2.0, 0.0, 0.0, 13.0, 16.0, 15.0, 11.0, 4.0, 0.0], [0.0, 0.0, 9.0, 16.0, 15.0, 3.0, 0.0, 0.0, 0.0, 7.0, 15.0, 7.0, 16.0, 7.0, 0.0, 0.0, 0.0, 2.0, 2.0, 0.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 3.0, 3.0, 5.0, 0.0, 0.0, 0.0, 11.0, 14.0, 10.0, 16.0, 6.0, 0.0, 0.0, 0.0, 11.0, 16.0, 13.0, 5.0, 0.0, 0.0], [0.0, 0.0, 3.0, 12.0, 16.0, 13.0, 0.0, 0.0, 0.0, 1.0, 14.0, 9.0, 10.0, 13.0, 0.0, 0.0, 0.0, 0.0, 2.0, 0.0, 10.0, 10.0, 0.0, 0.0, 0.0, 0.0, 3.0, 7.0, 15.0, 16.0, 10.0, 0.0, 0.0, 0.0, 16.0, 16.0, 15.0, 3.0, 0.0, 0.0, 0.0, 0.0, 3.0, 13.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 15.0, 0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 5.0, 12.0, 16.0, 10.0, 0.0, 0.0, 0.0, 6.0, 16.0, 13.0, 3.0, 15.0, 1.0, 0.0, 0.0, 11.0, 8.0, 5.0, 5.0, 10.0, 0.0, 0.0, 0.0, 4.0, 11.0, 2.0, 12.0, 2.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 15.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 13.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 15.0, 4.0, 0.0, 0.0, 0.0], [0.0, 4.0, 15.0, 16.0, 13.0, 1.0, 0.0, 0.0, 0.0, 9.0, 14.0, 10.0, 16.0, 6.0, 0.0, 0.0, 0.0, 1.0, 1.0, 6.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 14.0, 1.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 9.0, 8.0, 8.0, 10.0, 0.0, 0.0, 4.0, 15.0, 16.0, 16.0, 16.0, 9.0, 0.0], [0.0, 0.0, 6.0, 14.0, 13.0, 1.0, 0.0, 0.0, 0.0, 3.0, 16.0, 10.0, 5.0, 11.0, 0.0, 0.0, 0.0, 5.0, 16.0, 0.0, 0.0, 13.0, 0.0, 0.0, 0.0, 6.0, 12.0, 0.0, 0.0, 12.0, 3.0, 0.0, 0.0, 7.0, 12.0, 0.0, 0.0, 13.0, 3.0, 0.0, 0.0, 3.0, 11.0, 0.0, 5.0, 12.0, 0.0, 0.0, 0.0, 0.0, 13.0, 4.0, 15.0, 4.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 6.0, 0.0, 0.0, 0.0], [0.0, 0.0, 1.0, 16.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 11.0, 0.0, 0.0, 0.0], [0.0, 1.0, 10.0, 15.0, 15.0, 5.0, 0.0, 0.0, 0.0, 11.0, 16.0, 9.0, 12.0, 10.0, 0.0, 0.0, 0.0, 15.0, 6.0, 0.0, 14.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 1.0, 15.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 1.0, 15.0, 11.0, 8.0, 12.0, 14.0, 1.0, 0.0, 1.0, 15.0, 16.0, 16.0, 12.0, 5.0, 0.0], [0.0, 0.0, 0.0, 14.0, 13.0, 1.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 1.0, 15.0, 16.0, 14.0, 1.0, 0.0, 0.0, 0.0, 4.0, 16.0, 12.0, 8.0, 12.0, 7.0, 0.0, 0.0, 2.0, 15.0, 8.0, 0.0, 8.0, 16.0, 2.0, 0.0, 0.0, 10.0, 14.0, 9.0, 15.0, 15.0, 1.0, 0.0, 0.0, 1.0, 14.0, 16.0, 14.0, 2.0, 0.0], [0.0, 2.0, 9.0, 15.0, 16.0, 15.0, 2.0, 0.0, 0.0, 11.0, 11.0, 5.0, 9.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 12.0, 0.0, 0.0, 0.0, 5.0, 3.0, 6.0, 15.0, 7.0, 0.0, 0.0, 0.0, 12.0, 16.0, 15.0, 9.0, 1.0, 0.0], [0.0, 0.0, 8.0, 14.0, 16.0, 13.0, 1.0, 0.0, 0.0, 10.0, 9.0, 4.0, 6.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 1.0, 10.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 14.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 13.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 13.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 4.0, 0.0, 0.0, 0.0, 14.0, 16.0, 13.0, 9.0, 0.0, 0.0], [0.0, 0.0, 4.0, 11.0, 16.0, 16.0, 2.0, 0.0, 0.0, 0.0, 8.0, 8.0, 9.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 12.0, 3.0, 0.0, 0.0, 6.0, 15.0, 16.0, 16.0, 15.0, 6.0, 0.0, 0.0, 3.0, 7.0, 11.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 12.0, 0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 9.0, 14.0, 16.0, 16.0, 2.0, 0.0, 0.0, 7.0, 15.0, 7.0, 4.0, 14.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 15.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 12.0, 0.0, 0.0, 0.0, 0.0, 15.0, 2.0, 8.0, 14.0, 0.0, 0.0, 0.0, 0.0, 10.0, 15.0, 12.0, 3.0, 0.0, 0.0], [0.0, 2.0, 13.0, 16.0, 16.0, 15.0, 4.0, 0.0, 0.0, 7.0, 12.0, 8.0, 8.0, 16.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 15.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 11.0, 0.0, 0.0, 0.0, 4.0, 4.0, 7.0, 16.0, 10.0, 0.0, 0.0, 2.0, 15.0, 16.0, 16.0, 12.0, 1.0, 0.0], [0.0, 0.0, 0.0, 1.0, 14.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 12.0, 1.0, 0.0, 0.0, 0.0, 0.0, 5.0, 15.0, 1.0, 0.0, 2.0, 4.0, 0.0, 0.0, 14.0, 7.0, 0.0, 0.0, 13.0, 10.0, 0.0, 0.0, 15.0, 16.0, 16.0, 16.0, 16.0, 5.0, 0.0, 0.0, 3.0, 8.0, 8.0, 15.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 15.0, 2.0, 0.0, 0.0], [0.0, 0.0, 0.0, 9.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 15.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 8.0, 4.0, 3.0, 0.0, 0.0, 0.0, 0.0, 14.0, 16.0, 12.0, 14.0, 5.0, 0.0, 0.0, 0.0, 12.0, 10.0, 0.0, 4.0, 13.0, 0.0, 0.0, 0.0, 9.0, 11.0, 0.0, 6.0, 16.0, 1.0, 0.0, 0.0, 0.0, 8.0, 14.0, 15.0, 8.0, 0.0], [0.0, 0.0, 0.0, 14.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 15.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 16.0, 16.0, 10.0, 1.0, 0.0, 0.0, 2.0, 16.0, 12.0, 4.0, 11.0, 12.0, 0.0, 0.0, 0.0, 10.0, 14.0, 6.0, 14.0, 15.0, 0.0, 0.0, 0.0, 1.0, 13.0, 16.0, 16.0, 10.0, 0.0], [0.0, 0.0, 0.0, 13.0, 15.0, 2.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 11.0, 1.0, 0.0, 0.0, 0.0, 0.0, 13.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 14.0, 15.0, 8.0, 0.0, 0.0, 0.0, 1.0, 16.0, 15.0, 8.0, 13.0, 9.0, 0.0, 0.0, 0.0, 11.0, 10.0, 0.0, 11.0, 16.0, 0.0, 0.0, 0.0, 2.0, 14.0, 16.0, 16.0, 13.0, 0.0], [0.0, 0.0, 0.0, 4.0, 15.0, 7.0, 0.0, 0.0, 0.0, 0.0, 3.0, 15.0, 12.0, 0.0, 0.0, 0.0, 0.0, 1.0, 14.0, 12.0, 0.0, 2.0, 11.0, 0.0, 0.0, 10.0, 14.0, 0.0, 0.0, 13.0, 12.0, 0.0, 0.0, 11.0, 15.0, 12.0, 15.0, 16.0, 5.0, 0.0, 0.0, 4.0, 10.0, 8.0, 16.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 14.0, 0.0, 0.0, 0.0], [0.0, 0.0, 9.0, 16.0, 10.0, 2.0, 0.0, 0.0, 0.0, 0.0, 16.0, 14.0, 11.0, 10.0, 0.0, 0.0, 0.0, 1.0, 16.0, 9.0, 12.0, 15.0, 0.0, 0.0, 0.0, 0.0, 7.0, 15.0, 16.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 10.0, 6.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 15.0, 9.0, 0.0, 0.0, 0.0, 0.0, 1.0, 7.0, 16.0, 8.0, 0.0, 0.0, 0.0, 6.0, 16.0, 16.0, 14.0, 1.0, 0.0], [0.0, 0.0, 6.0, 16.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 16.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 15.0, 16.0, 3.0, 0.0, 0.0], [0.0, 0.0, 10.0, 12.0, 16.0, 16.0, 8.0, 0.0, 0.0, 4.0, 16.0, 16.0, 11.0, 5.0, 4.0, 0.0, 0.0, 10.0, 12.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 14.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 10.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 4.0, 8.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 13.0, 16.0, 11.0, 0.0, 0.0, 0.0], [0.0, 0.0, 7.0, 5.0, 14.0, 13.0, 0.0, 0.0, 0.0, 0.0, 16.0, 15.0, 6.0, 9.0, 2.0, 0.0, 0.0, 4.0, 16.0, 7.0, 0.0, 4.0, 4.0, 0.0, 0.0, 6.0, 12.0, 1.0, 0.0, 5.0, 7.0, 0.0, 0.0, 8.0, 7.0, 0.0, 0.0, 12.0, 3.0, 0.0, 0.0, 4.0, 8.0, 0.0, 4.0, 12.0, 0.0, 0.0, 0.0, 2.0, 12.0, 5.0, 15.0, 4.0, 0.0, 0.0, 0.0, 0.0, 6.0, 15.0, 6.0, 0.0, 0.0, 0.0], [0.0, 0.0, 9.0, 16.0, 16.0, 7.0, 0.0, 0.0, 0.0, 2.0, 16.0, 11.0, 4.0, 15.0, 2.0, 0.0, 0.0, 4.0, 16.0, 2.0, 2.0, 16.0, 6.0, 0.0, 0.0, 0.0, 13.0, 11.0, 13.0, 16.0, 10.0, 0.0, 0.0, 0.0, 1.0, 10.0, 13.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 2.0, 13.0, 14.0, 1.0, 0.0, 0.0, 0.0, 11.0, 15.0, 15.0, 6.0, 0.0, 0.0], [0.0, 0.0, 9.0, 16.0, 16.0, 7.0, 0.0, 0.0, 0.0, 7.0, 16.0, 12.0, 7.0, 11.0, 2.0, 0.0, 0.0, 13.0, 13.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 10.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 12.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 3.0, 0.0, 0.0, 0.0, 1.0, 0.0, 11.0, 16.0, 1.0, 0.0, 0.0, 0.0, 7.0, 16.0, 16.0, 6.0, 0.0, 0.0], [0.0, 2.0, 11.0, 16.0, 15.0, 6.0, 0.0, 0.0, 0.0, 11.0, 15.0, 9.0, 14.0, 13.0, 0.0, 0.0, 0.0, 7.0, 1.0, 0.0, 13.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 1.0, 11.0, 13.0, 1.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 2.0, 15.0, 9.0, 2.0, 4.0, 4.0, 0.0, 0.0, 2.0, 15.0, 16.0, 16.0, 16.0, 16.0, 1.0], [0.0, 2.0, 9.0, 16.0, 13.0, 13.0, 2.0, 0.0, 0.0, 11.0, 11.0, 4.0, 2.0, 10.0, 4.0, 0.0, 0.0, 6.0, 12.0, 2.0, 4.0, 12.0, 0.0, 0.0, 0.0, 0.0, 6.0, 14.0, 13.0, 2.0, 0.0, 0.0, 0.0, 0.0, 1.0, 14.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 7.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 5.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 14.0, 3.0, 0.0, 0.0, 0.0], [0.0, 1.0, 12.0, 16.0, 14.0, 8.0, 0.0, 0.0, 0.0, 4.0, 16.0, 8.0, 10.0, 15.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 1.0, 12.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 1.0, 14.0, 15.0, 6.0, 10.0, 11.0, 0.0, 0.0, 0.0, 13.0, 16.0, 16.0, 14.0, 8.0, 1.0], [0.0, 0.0, 11.0, 8.0, 12.0, 5.0, 0.0, 0.0, 0.0, 1.0, 15.0, 11.0, 6.0, 14.0, 2.0, 0.0, 0.0, 4.0, 11.0, 0.0, 0.0, 9.0, 4.0, 0.0, 0.0, 4.0, 8.0, 0.0, 0.0, 8.0, 6.0, 0.0, 0.0, 6.0, 7.0, 0.0, 0.0, 11.0, 3.0, 0.0, 0.0, 5.0, 8.0, 0.0, 5.0, 13.0, 0.0, 0.0, 0.0, 3.0, 13.0, 5.0, 15.0, 3.0, 0.0, 0.0, 0.0, 0.0, 9.0, 14.0, 4.0, 0.0, 0.0, 0.0], [0.0, 0.0, 4.0, 13.0, 15.0, 6.0, 0.0, 0.0, 0.0, 0.0, 15.0, 11.0, 2.0, 14.0, 2.0, 0.0, 0.0, 3.0, 14.0, 1.0, 0.0, 12.0, 4.0, 0.0, 0.0, 5.0, 12.0, 0.0, 0.0, 9.0, 5.0, 0.0, 0.0, 5.0, 5.0, 0.0, 0.0, 12.0, 2.0, 0.0, 0.0, 4.0, 9.0, 0.0, 2.0, 13.0, 2.0, 0.0, 0.0, 0.0, 13.0, 2.0, 14.0, 7.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 7.0, 0.0, 0.0, 0.0], [0.0, 0.0, 3.0, 16.0, 12.0, 1.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 14.0, 0.0, 0.0, 0.0], [0.0, 1.0, 13.0, 16.0, 16.0, 12.0, 0.0, 0.0, 0.0, 3.0, 12.0, 6.0, 11.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 12.0, 0.0, 0.0, 0.0, 1.0, 9.0, 15.0, 16.0, 16.0, 9.0, 0.0, 0.0, 2.0, 12.0, 15.0, 14.0, 5.0, 5.0, 0.0, 0.0, 0.0, 5.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 3.0, 0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 1.0, 9.0, 15.0, 2.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 7.0, 1.0, 0.0, 0.0, 0.0, 0.0, 14.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 6.0, 8.0, 4.0, 0.0, 0.0, 0.0, 0.0, 15.0, 16.0, 13.0, 14.0, 7.0, 0.0, 0.0, 0.0, 14.0, 3.0, 0.0, 3.0, 12.0, 0.0, 0.0, 0.0, 6.0, 9.0, 7.0, 9.0, 15.0, 0.0, 0.0, 0.0, 0.0, 10.0, 14.0, 14.0, 2.0, 0.0], [0.0, 3.0, 12.0, 15.0, 16.0, 16.0, 3.0, 0.0, 0.0, 6.0, 16.0, 9.0, 9.0, 16.0, 6.0, 0.0, 0.0, 0.0, 3.0, 0.0, 11.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 11.0, 0.0, 0.0, 0.0, 0.0, 4.0, 5.0, 15.0, 14.0, 0.0, 0.0, 0.0, 3.0, 16.0, 16.0, 15.0, 6.0, 0.0, 0.0], [0.0, 1.0, 13.0, 16.0, 16.0, 5.0, 0.0, 0.0, 0.0, 7.0, 10.0, 4.0, 10.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 15.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 12.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 3.0, 1.0, 5.0, 3.0, 0.0, 0.0, 1.0, 15.0, 16.0, 16.0, 15.0, 3.0, 0.0], [0.0, 0.0, 1.0, 12.0, 16.0, 8.0, 0.0, 0.0, 0.0, 2.0, 13.0, 16.0, 16.0, 8.0, 0.0, 0.0, 0.0, 13.0, 16.0, 14.0, 16.0, 12.0, 0.0, 0.0, 0.0, 11.0, 6.0, 7.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 13.0, 0.0, 0.0, 0.0], [0.0, 0.0, 9.0, 15.0, 15.0, 2.0, 0.0, 0.0, 0.0, 3.0, 11.0, 4.0, 15.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 2.0, 0.0, 0.0, 0.0, 2.0, 12.0, 13.0, 16.0, 16.0, 11.0, 0.0, 0.0, 2.0, 12.0, 15.0, 11.0, 6.0, 1.0, 0.0, 0.0, 0.0, 3.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 7.0, 0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 2.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 15.0, 2.0, 1.0, 0.0, 0.0, 0.0, 1.0, 15.0, 8.0, 1.0, 13.0, 11.0, 0.0, 0.0, 9.0, 16.0, 7.0, 12.0, 16.0, 4.0, 0.0, 0.0, 5.0, 13.0, 16.0, 16.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 2.0, 0.0, 0.0], [0.0, 0.0, 0.0, 7.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 10.0, 8.0, 6.0, 1.0, 0.0, 0.0, 0.0, 15.0, 16.0, 8.0, 10.0, 8.0, 0.0, 0.0, 0.0, 14.0, 7.0, 0.0, 0.0, 12.0, 0.0, 0.0, 0.0, 8.0, 11.0, 0.0, 5.0, 16.0, 2.0, 0.0, 0.0, 0.0, 9.0, 14.0, 14.0, 5.0, 0.0], [0.0, 0.0, 10.0, 16.0, 16.0, 11.0, 0.0, 0.0, 0.0, 1.0, 11.0, 7.0, 6.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 13.0, 0.0, 0.0, 0.0, 0.0, 5.0, 4.0, 10.0, 16.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 16.0, 10.0, 0.0, 0.0], [0.0, 0.0, 4.0, 12.0, 13.0, 2.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 16.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 13.0, 0.0, 0.0, 0.0], [0.0, 1.0, 7.0, 15.0, 16.0, 9.0, 0.0, 0.0, 1.0, 13.0, 14.0, 7.0, 14.0, 14.0, 0.0, 0.0, 0.0, 6.0, 1.0, 8.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 15.0, 6.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 15.0, 11.0, 0.0, 0.0, 0.0, 5.0, 1.0, 0.0, 11.0, 16.0, 2.0, 0.0, 0.0, 10.0, 16.0, 16.0, 16.0, 7.0, 0.0], [0.0, 1.0, 7.0, 13.0, 14.0, 3.0, 0.0, 0.0, 0.0, 10.0, 13.0, 2.0, 5.0, 10.0, 0.0, 0.0, 0.0, 12.0, 4.0, 0.0, 7.0, 16.0, 0.0, 0.0, 0.0, 6.0, 10.0, 9.0, 13.0, 15.0, 1.0, 0.0, 0.0, 0.0, 2.0, 4.0, 0.0, 14.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 2.0, 0.0, 0.0, 0.0, 6.0, 0.0, 5.0, 14.0, 0.0, 0.0, 0.0, 0.0, 5.0, 14.0, 14.0, 5.0, 0.0, 0.0], [0.0, 0.0, 3.0, 12.0, 12.0, 3.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 16.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 10.0, 1.0, 0.0, 0.0, 0.0, 0.0, 5.0, 13.0, 14.0, 4.0, 0.0, 0.0], [0.0, 0.0, 5.0, 14.0, 15.0, 2.0, 0.0, 0.0, 0.0, 6.0, 16.0, 10.0, 15.0, 8.0, 0.0, 0.0, 0.0, 1.0, 4.0, 0.0, 8.0, 8.0, 0.0, 0.0, 0.0, 0.0, 1.0, 7.0, 16.0, 16.0, 8.0, 0.0, 0.0, 0.0, 13.0, 16.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 6.0, 10.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 15.0, 2.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 9.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 15.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 11.0, 8.0, 4.0, 0.0, 0.0, 0.0, 0.0, 15.0, 16.0, 8.0, 12.0, 5.0, 0.0, 0.0, 0.0, 14.0, 13.0, 0.0, 1.0, 15.0, 1.0, 0.0, 0.0, 8.0, 12.0, 0.0, 4.0, 16.0, 2.0, 0.0, 0.0, 0.0, 8.0, 12.0, 13.0, 10.0, 1.0], [0.0, 0.0, 11.0, 16.0, 9.0, 8.0, 0.0, 0.0, 0.0, 0.0, 14.0, 13.0, 6.0, 15.0, 2.0, 0.0, 0.0, 0.0, 9.0, 6.0, 6.0, 10.0, 0.0, 0.0, 0.0, 0.0, 1.0, 14.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 13.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 7.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 0.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 14.0, 8.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 6.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 2.0, 15.0, 14.0, 0.0, 7.0, 1.0, 0.0, 0.0, 6.0, 16.0, 3.0, 3.0, 16.0, 9.0, 0.0, 0.0, 11.0, 16.0, 8.0, 11.0, 16.0, 6.0, 0.0, 0.0, 3.0, 15.0, 16.0, 16.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 3.0, 0.0, 0.0], [0.0, 0.0, 5.0, 12.0, 16.0, 10.0, 0.0, 0.0, 0.0, 8.0, 15.0, 5.0, 12.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 15.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 14.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 11.0, 0.0, 0.0, 0.0, 5.0, 16.0, 16.0, 11.0, 3.0, 0.0], [0.0, 0.0, 3.0, 16.0, 12.0, 1.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 16.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 13.0, 9.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 8.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 16.0, 1.0, 3.0, 5.0, 0.0, 0.0, 5.0, 16.0, 6.0, 2.0, 16.0, 9.0, 0.0, 0.0, 11.0, 16.0, 0.0, 8.0, 16.0, 7.0, 0.0, 0.0, 10.0, 16.0, 16.0, 16.0, 11.0, 1.0, 0.0, 0.0, 1.0, 7.0, 9.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 11.0, 0.0, 0.0, 0.0], [0.0, 0.0, 5.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 10.0, 14.0, 12.0, 0.0, 0.0, 0.0, 2.0, 16.0, 16.0, 8.0, 11.0, 2.0, 0.0, 0.0, 3.0, 16.0, 11.0, 0.0, 9.0, 3.0, 0.0, 0.0, 5.0, 12.0, 2.0, 0.0, 12.0, 4.0, 0.0, 0.0, 1.0, 12.0, 0.0, 0.0, 13.0, 3.0, 0.0, 0.0, 0.0, 13.0, 6.0, 8.0, 13.0, 0.0, 0.0, 0.0, 0.0, 3.0, 14.0, 12.0, 3.0, 0.0, 0.0], [0.0, 7.0, 16.0, 16.0, 16.0, 16.0, 11.0, 0.0, 0.0, 8.0, 16.0, 9.0, 6.0, 0.0, 1.0, 0.0, 0.0, 3.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 4.0, 0.0, 14.0, 4.0, 0.0, 0.0, 0.0, 0.0, 9.0, 9.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 5.0, 15.0, 13.0, 0.0, 0.0, 0.0, 0.0], [0.0, 4.0, 13.0, 16.0, 16.0, 15.0, 3.0, 0.0, 0.0, 10.0, 12.0, 7.0, 8.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 1.0, 12.0, 15.0, 2.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 10.0, 0.0, 0.0, 0.0, 5.0, 7.0, 4.0, 15.0, 13.0, 0.0, 0.0, 0.0, 5.0, 16.0, 16.0, 16.0, 7.0, 0.0, 0.0], [0.0, 0.0, 0.0, 12.0, 15.0, 4.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 9.0, 2.0, 0.0, 0.0, 0.0, 0.0, 12.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 11.0, 3.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 14.0, 15.0, 8.0, 0.0, 0.0, 0.0, 1.0, 16.0, 6.0, 0.0, 12.0, 8.0, 0.0, 0.0, 0.0, 12.0, 12.0, 4.0, 13.0, 12.0, 0.0, 0.0, 0.0, 1.0, 11.0, 16.0, 16.0, 4.0, 0.0], [0.0, 2.0, 14.0, 16.0, 16.0, 7.0, 0.0, 0.0, 0.0, 6.0, 15.0, 5.0, 6.0, 13.0, 0.0, 0.0, 0.0, 4.0, 15.0, 0.0, 9.0, 16.0, 6.0, 0.0, 0.0, 2.0, 13.0, 16.0, 16.0, 15.0, 9.0, 0.0, 0.0, 0.0, 1.0, 4.0, 2.0, 15.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 1.0, 12.0, 15.0, 2.0, 0.0, 0.0, 1.0, 14.0, 16.0, 16.0, 6.0, 0.0, 0.0], [0.0, 0.0, 0.0, 12.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 13.0, 8.0, 4.0, 0.0, 0.0, 0.0, 3.0, 16.0, 15.0, 11.0, 15.0, 7.0, 0.0, 0.0, 2.0, 15.0, 10.0, 0.0, 4.0, 15.0, 3.0, 0.0, 0.0, 8.0, 12.0, 4.0, 6.0, 16.0, 5.0, 0.0, 0.0, 1.0, 11.0, 16.0, 16.0, 13.0, 0.0], [0.0, 0.0, 0.0, 14.0, 10.0, 0.0, 0.0, 0.0, 0.0, 3.0, 14.0, 16.0, 13.0, 0.0, 0.0, 0.0, 2.0, 16.0, 16.0, 16.0, 5.0, 0.0, 0.0, 0.0, 1.0, 11.0, 14.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 15.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 13.0, 0.0, 0.0, 0.0], [0.0, 1.0, 8.0, 12.0, 16.0, 16.0, 3.0, 0.0, 0.0, 5.0, 14.0, 8.0, 10.0, 15.0, 0.0, 0.0, 0.0, 0.0, 2.0, 5.0, 14.0, 12.0, 2.0, 0.0, 0.0, 3.0, 15.0, 16.0, 15.0, 12.0, 8.0, 0.0, 0.0, 3.0, 6.0, 14.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 4.0, 0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 15.0, 13.0, 12.0, 12.0, 2.0, 0.0, 0.0, 4.0, 16.0, 16.0, 12.0, 6.0, 0.0, 0.0, 0.0, 0.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 6.0, 0.0, 0.0, 0.0, 0.0, 4.0, 5.0, 14.0, 8.0, 0.0, 0.0, 0.0, 0.0, 1.0, 15.0, 16.0, 4.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 3.0, 15.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 14.0, 3.0, 0.0, 0.0, 0.0, 0.0, 6.0, 15.0, 2.0, 6.0, 6.0, 0.0, 0.0, 2.0, 15.0, 4.0, 0.0, 15.0, 8.0, 0.0, 0.0, 8.0, 12.0, 0.0, 4.0, 16.0, 1.0, 0.0, 0.0, 11.0, 14.0, 12.0, 16.0, 10.0, 0.0, 0.0, 0.0, 2.0, 8.0, 7.0, 15.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 2.0, 0.0, 0.0], [0.0, 0.0, 0.0, 7.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 9.0, 0.0, 0.0, 10.0, 3.0, 0.0, 7.0, 15.0, 0.0, 0.0, 9.0, 15.0, 0.0, 0.0, 12.0, 15.0, 8.0, 10.0, 15.0, 10.0, 0.0, 0.0, 8.0, 15.0, 12.0, 16.0, 12.0, 1.0, 0.0, 0.0, 0.0, 0.0, 5.0, 15.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 13.0, 0.0, 0.0, 0.0], [0.0, 0.0, 5.0, 12.0, 16.0, 16.0, 7.0, 0.0, 0.0, 0.0, 10.0, 9.0, 4.0, 11.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 7.0, 0.0, 0.0, 0.0, 2.0, 10.0, 15.0, 16.0, 13.0, 0.0, 0.0, 0.0, 14.0, 13.0, 16.0, 10.0, 1.0, 0.0, 0.0, 0.0, 3.0, 4.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 13.0, 0.0, 0.0, 0.0, 0.0], [0.0, 2.0, 13.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 6.0, 13.0, 10.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 14.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 14.0, 1.0, 0.0, 0.0, 0.0, 0.0, 1.0, 14.0, 7.0, 0.0, 0.0, 1.0, 0.0, 0.0, 4.0, 16.0, 5.0, 7.0, 12.0, 14.0, 0.0, 0.0, 3.0, 15.0, 16.0, 16.0, 10.0, 1.0, 0.0], [0.0, 1.0, 3.0, 15.0, 15.0, 2.0, 0.0, 0.0, 2.0, 16.0, 16.0, 12.0, 16.0, 6.0, 0.0, 0.0, 1.0, 15.0, 7.0, 6.0, 14.0, 0.0, 0.0, 0.0, 0.0, 5.0, 14.0, 14.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 15.0, 13.0, 8.0, 0.0, 0.0, 0.0, 0.0, 8.0, 12.0, 7.0, 16.0, 0.0, 0.0, 0.0, 0.0, 4.0, 15.0, 16.0, 14.0, 0.0, 0.0], [0.0, 2.0, 15.0, 16.0, 15.0, 1.0, 0.0, 0.0, 0.0, 3.0, 11.0, 5.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0, 2.0, 14.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 3.0, 3.0, 4.0, 3.0, 0.0, 0.0, 4.0, 16.0, 16.0, 16.0, 16.0, 11.0, 0.0], [0.0, 2.0, 13.0, 16.0, 16.0, 10.0, 0.0, 0.0, 2.0, 15.0, 12.0, 7.0, 10.0, 16.0, 0.0, 0.0, 0.0, 3.0, 1.0, 0.0, 12.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 15.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 10.0, 6.0, 8.0, 8.0, 1.0, 0.0, 2.0, 15.0, 16.0, 16.0, 12.0, 12.0, 1.0], [0.0, 4.0, 7.0, 13.0, 16.0, 16.0, 4.0, 0.0, 0.0, 11.0, 16.0, 14.0, 9.0, 2.0, 0.0, 0.0, 0.0, 14.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 13.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 1.0, 3.0, 14.0, 16.0, 3.0, 0.0, 0.0, 0.0, 4.0, 14.0, 16.0, 13.0, 0.0, 0.0, 0.0], [0.0, 0.0, 12.0, 16.0, 16.0, 16.0, 15.0, 0.0, 0.0, 0.0, 3.0, 4.0, 2.0, 8.0, 15.0, 0.0, 0.0, 0.0, 0.0, 2.0, 4.0, 11.0, 11.0, 0.0, 0.0, 0.0, 6.0, 15.0, 16.0, 16.0, 12.0, 0.0, 0.0, 0.0, 5.0, 6.0, 15.0, 7.0, 2.0, 0.0, 0.0, 0.0, 0.0, 10.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 11.0, 0.0, 0.0, 0.0, 0.0], [0.0, 1.0, 14.0, 16.0, 15.0, 4.0, 0.0, 0.0, 0.0, 4.0, 16.0, 9.0, 11.0, 15.0, 3.0, 0.0, 0.0, 6.0, 16.0, 1.0, 8.0, 16.0, 2.0, 0.0, 0.0, 2.0, 14.0, 10.0, 15.0, 16.0, 6.0, 0.0, 0.0, 0.0, 3.0, 11.0, 8.0, 15.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 5.0, 0.0, 0.0, 0.0, 3.0, 3.0, 11.0, 15.0, 1.0, 0.0, 0.0, 0.0, 13.0, 16.0, 14.0, 4.0, 0.0, 0.0], [0.0, 8.0, 16.0, 12.0, 15.0, 16.0, 7.0, 0.0, 0.0, 13.0, 16.0, 14.0, 6.0, 4.0, 1.0, 0.0, 0.0, 12.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 15.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 2.0, 0.0, 0.0, 0.0, 1.0, 4.0, 6.0, 16.0, 5.0, 0.0, 0.0, 0.0, 7.0, 16.0, 16.0, 10.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 3.0, 14.0, 6.0, 0.0, 0.0, 0.0, 0.0, 3.0, 14.0, 10.0, 1.0, 0.0, 0.0, 0.0, 1.0, 13.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 14.0, 1.0, 0.0, 7.0, 5.0, 0.0, 0.0, 11.0, 15.0, 8.0, 9.0, 16.0, 10.0, 0.0, 0.0, 7.0, 16.0, 16.0, 15.0, 15.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 2.0, 0.0, 0.0], [0.0, 0.0, 11.0, 16.0, 16.0, 14.0, 0.0, 0.0, 0.0, 1.0, 16.0, 15.0, 13.0, 15.0, 1.0, 0.0, 0.0, 0.0, 14.0, 15.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 14.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 11.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 16.0, 10.0, 0.0, 0.0, 0.0], [0.0, 0.0, 13.0, 16.0, 16.0, 15.0, 2.0, 0.0, 0.0, 0.0, 14.0, 13.0, 11.0, 16.0, 2.0, 0.0, 0.0, 0.0, 11.0, 13.0, 15.0, 6.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 14.0, 15.0, 0.0, 0.0, 0.0, 0.0, 1.0, 14.0, 3.0, 15.0, 7.0, 0.0, 0.0, 0.0, 6.0, 11.0, 0.0, 15.0, 6.0, 0.0, 0.0, 0.0, 1.0, 13.0, 16.0, 15.0, 3.0, 0.0, 0.0], [0.0, 0.0, 2.0, 14.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 15.0, 3.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 2.0, 1.0, 5.0, 0.0, 0.0, 0.0, 10.0, 13.0, 0.0, 5.0, 16.0, 2.0, 0.0, 0.0, 7.0, 16.0, 9.0, 12.0, 16.0, 11.0, 0.0, 0.0, 0.0, 5.0, 12.0, 16.0, 10.0, 2.0, 0.0, 0.0, 0.0, 0.0, 12.0, 12.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 5.0, 0.0, 0.0, 0.0], [0.0, 0.0, 9.0, 16.0, 16.0, 10.0, 0.0, 0.0, 0.0, 2.0, 16.0, 9.0, 11.0, 11.0, 0.0, 0.0, 0.0, 0.0, 15.0, 7.0, 12.0, 16.0, 3.0, 0.0, 0.0, 0.0, 7.0, 16.0, 15.0, 15.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 10.0, 0.0, 0.0, 0.0, 11.0, 2.0, 6.0, 16.0, 6.0, 0.0, 0.0, 0.0, 9.0, 16.0, 16.0, 11.0, 1.0, 0.0], [0.0, 0.0, 10.0, 13.0, 14.0, 8.0, 0.0, 0.0, 0.0, 0.0, 13.0, 9.0, 5.0, 12.0, 5.0, 0.0, 0.0, 4.0, 13.0, 0.0, 0.0, 4.0, 8.0, 0.0, 0.0, 4.0, 8.0, 0.0, 0.0, 4.0, 8.0, 0.0, 0.0, 8.0, 4.0, 0.0, 0.0, 13.0, 2.0, 0.0, 0.0, 8.0, 4.0, 0.0, 9.0, 10.0, 0.0, 0.0, 0.0, 4.0, 12.0, 12.0, 13.0, 1.0, 0.0, 0.0, 0.0, 1.0, 11.0, 11.0, 1.0, 0.0, 0.0, 0.0], [0.0, 0.0, 14.0, 16.0, 13.0, 9.0, 1.0, 0.0, 0.0, 0.0, 12.0, 10.0, 9.0, 16.0, 3.0, 0.0, 0.0, 0.0, 9.0, 14.0, 13.0, 13.0, 1.0, 0.0, 0.0, 0.0, 3.0, 13.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 12.0, 9.0, 0.0, 0.0, 0.0, 0.0, 13.0, 8.0, 14.0, 6.0, 0.0, 0.0, 0.0, 1.0, 16.0, 11.0, 15.0, 1.0, 0.0, 0.0, 0.0, 1.0, 13.0, 16.0, 6.0, 0.0, 0.0, 0.0], [0.0, 0.0, 9.0, 15.0, 13.0, 3.0, 0.0, 0.0, 0.0, 2.0, 14.0, 2.0, 6.0, 5.0, 0.0, 0.0, 0.0, 4.0, 9.0, 0.0, 0.0, 15.0, 4.0, 0.0, 0.0, 1.0, 13.0, 5.0, 7.0, 16.0, 6.0, 0.0, 0.0, 0.0, 2.0, 7.0, 7.0, 14.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 14.0, 1.0, 0.0, 0.0, 0.0, 3.0, 1.0, 10.0, 9.0, 0.0, 0.0, 0.0, 0.0, 11.0, 15.0, 9.0, 1.0, 0.0, 0.0], [0.0, 0.0, 13.0, 16.0, 9.0, 4.0, 0.0, 0.0, 0.0, 0.0, 15.0, 9.0, 9.0, 15.0, 1.0, 0.0, 0.0, 0.0, 11.0, 9.0, 13.0, 11.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 14.0, 1.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 10.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 16.0, 4.0, 15.0, 7.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 16.0, 3.0, 0.0, 0.0], [0.0, 0.0, 0.0, 12.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 12.0, 9.0, 10.0, 0.0, 0.0, 0.0, 2.0, 16.0, 2.0, 1.0, 11.0, 1.0, 0.0, 0.0, 1.0, 15.0, 0.0, 0.0, 5.0, 8.0, 0.0, 0.0, 2.0, 14.0, 0.0, 0.0, 5.0, 10.0, 0.0, 0.0, 0.0, 13.0, 2.0, 0.0, 2.0, 13.0, 0.0, 0.0, 0.0, 7.0, 9.0, 0.0, 7.0, 11.0, 0.0, 0.0, 0.0, 0.0, 11.0, 13.0, 16.0, 2.0, 0.0], [0.0, 0.0, 0.0, 1.0, 13.0, 13.0, 0.0, 0.0, 0.0, 0.0, 4.0, 15.0, 15.0, 16.0, 0.0, 0.0, 0.0, 8.0, 16.0, 10.0, 6.0, 14.0, 0.0, 0.0, 0.0, 10.0, 6.0, 0.0, 8.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 7.0, 0.0, 0.0], [0.0, 0.0, 2.0, 12.0, 16.0, 10.0, 0.0, 0.0, 0.0, 2.0, 15.0, 10.0, 6.0, 15.0, 0.0, 0.0, 0.0, 2.0, 7.0, 1.0, 4.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 16.0, 15.0, 10.0, 5.0, 0.0, 0.0, 0.0, 1.0, 8.0, 8.0, 11.0, 16.0, 6.0], [0.0, 4.0, 14.0, 16.0, 16.0, 15.0, 2.0, 0.0, 0.0, 12.0, 11.0, 2.0, 4.0, 16.0, 5.0, 0.0, 0.0, 2.0, 0.0, 1.0, 11.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 15.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 14.0, 10.0, 0.0, 0.0, 1.0, 7.0, 0.0, 3.0, 14.0, 8.0, 0.0, 0.0, 4.0, 15.0, 16.0, 16.0, 11.0, 0.0, 0.0], [0.0, 0.0, 0.0, 2.0, 15.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 10.0, 0.0, 3.0, 8.0, 0.0, 0.0, 5.0, 16.0, 1.0, 2.0, 15.0, 5.0, 0.0, 0.0, 9.0, 13.0, 7.0, 14.0, 16.0, 2.0, 0.0, 0.0, 5.0, 15.0, 14.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 5.0, 0.0, 0.0], [0.0, 0.0, 12.0, 16.0, 16.0, 16.0, 7.0, 0.0, 0.0, 1.0, 14.0, 15.0, 6.0, 4.0, 1.0, 0.0, 0.0, 8.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 12.0, 12.0, 9.0, 1.0, 0.0, 0.0, 1.0, 8.0, 8.0, 8.0, 15.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 12.0, 0.0, 0.0, 0.0, 8.0, 2.0, 6.0, 16.0, 5.0, 0.0, 0.0, 1.0, 11.0, 16.0, 16.0, 8.0, 0.0, 0.0], [0.0, 0.0, 0.0, 11.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 16.0, 14.0, 11.0, 0.0, 0.0, 0.0, 9.0, 16.0, 3.0, 5.0, 16.0, 4.0, 0.0, 0.0, 6.0, 15.0, 5.0, 14.0, 16.0, 2.0, 0.0, 0.0, 1.0, 11.0, 16.0, 15.0, 4.0, 0.0], [0.0, 3.0, 15.0, 16.0, 15.0, 3.0, 0.0, 0.0, 0.0, 3.0, 10.0, 8.0, 15.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 8.0, 0.0, 0.0, 0.0, 0.0, 11.0, 13.0, 16.0, 16.0, 8.0, 0.0, 0.0, 1.0, 15.0, 16.0, 15.0, 7.0, 2.0, 0.0, 0.0, 0.0, 5.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 4.0, 15.0, 13.0, 3.0, 0.0, 0.0, 0.0, 4.0, 13.0, 14.0, 10.0, 13.0, 0.0, 0.0, 0.0, 8.0, 16.0, 8.0, 8.0, 13.0, 0.0, 0.0, 0.0, 0.0, 15.0, 12.0, 15.0, 11.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 13.0, 1.0, 0.0, 0.0, 0.0, 0.0, 11.0, 15.0, 15.0, 2.0, 0.0, 0.0, 0.0, 0.0, 12.0, 8.0, 15.0, 8.0, 0.0, 0.0, 0.0, 0.0, 5.0, 15.0, 16.0, 5.0, 0.0, 0.0], [0.0, 0.0, 13.0, 13.0, 1.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 13.0, 12.0, 13.0, 0.0, 0.0, 0.0, 8.0, 13.0, 1.0, 15.0, 16.0, 4.0, 0.0, 0.0, 4.0, 15.0, 13.0, 15.0, 15.0, 10.0, 0.0, 0.0, 0.0, 6.0, 11.0, 3.0, 9.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 0.0, 0.0, 1.0, 7.0, 0.0, 1.0, 9.0, 15.0, 1.0, 0.0, 1.0, 13.0, 16.0, 16.0, 16.0, 6.0, 0.0], [0.0, 0.0, 0.0, 14.0, 12.0, 1.0, 0.0, 0.0, 0.0, 0.0, 4.0, 15.0, 7.0, 10.0, 0.0, 0.0, 0.0, 2.0, 16.0, 15.0, 5.0, 12.0, 2.0, 0.0, 0.0, 7.0, 16.0, 0.0, 0.0, 11.0, 5.0, 0.0, 0.0, 5.0, 12.0, 0.0, 0.0, 12.0, 4.0, 0.0, 0.0, 1.0, 15.0, 0.0, 0.0, 14.0, 2.0, 0.0, 0.0, 0.0, 9.0, 6.0, 7.0, 15.0, 0.0, 0.0, 0.0, 0.0, 1.0, 13.0, 16.0, 8.0, 0.0, 0.0], [0.0, 0.0, 0.0, 11.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 16.0, 5.0, 0.0, 0.0, 0.0, 6.0, 16.0, 15.0, 16.0, 3.0, 0.0, 0.0, 0.0, 11.0, 11.0, 10.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 2.0, 0.0, 0.0], [0.0, 0.0, 6.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 13.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 2.0, 12.0, 10.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 7.0, 0.0, 0.0, 0.0, 0.0, 1.0, 10.0, 16.0, 10.0, 8.0, 3.0, 0.0, 0.0, 4.0, 16.0, 16.0, 15.0, 16.0, 16.0], [0.0, 0.0, 9.0, 16.0, 16.0, 12.0, 2.0, 0.0, 0.0, 3.0, 13.0, 5.0, 4.0, 14.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 15.0, 2.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 8.0, 0.0, 0.0, 0.0, 4.0, 5.0, 5.0, 15.0, 4.0, 0.0, 0.0, 0.0, 12.0, 16.0, 15.0, 5.0, 0.0, 0.0], [0.0, 0.0, 0.0, 2.0, 14.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 6.0, 0.0, 5.0, 11.0, 0.0, 0.0, 3.0, 15.0, 0.0, 0.0, 10.0, 9.0, 0.0, 0.0, 9.0, 13.0, 4.0, 7.0, 16.0, 3.0, 0.0, 0.0, 7.0, 16.0, 16.0, 16.0, 13.0, 0.0, 0.0, 0.0, 0.0, 3.0, 2.0, 16.0, 6.0, 0.0, 0.0], [0.0, 5.0, 16.0, 16.0, 16.0, 16.0, 10.0, 0.0, 0.0, 4.0, 10.0, 4.0, 4.0, 4.0, 0.0, 0.0, 0.0, 10.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 13.0, 7.0, 1.0, 0.0, 0.0, 0.0, 0.0, 2.0, 8.0, 14.0, 14.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 7.0, 0.0, 0.0, 3.0, 3.0, 2.0, 11.0, 15.0, 0.0, 0.0, 0.0, 5.0, 16.0, 16.0, 12.0, 1.0, 0.0, 0.0], [0.0, 0.0, 0.0, 12.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 16.0, 15.0, 5.0, 0.0, 0.0, 0.0, 8.0, 16.0, 0.0, 6.0, 15.0, 1.0, 0.0, 0.0, 7.0, 16.0, 4.0, 10.0, 16.0, 3.0, 0.0, 0.0, 1.0, 11.0, 16.0, 16.0, 12.0, 0.0], [0.0, 0.0, 5.0, 13.0, 16.0, 14.0, 0.0, 0.0, 0.0, 1.0, 14.0, 8.0, 5.0, 16.0, 2.0, 0.0, 0.0, 0.0, 1.0, 0.0, 2.0, 15.0, 2.0, 0.0, 0.0, 0.0, 0.0, 2.0, 8.0, 15.0, 3.0, 0.0, 0.0, 0.0, 0.0, 15.0, 16.0, 13.0, 8.0, 0.0, 0.0, 0.0, 0.0, 6.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 14.0, 0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 4.0, 16.0, 14.0, 3.0, 0.0, 0.0, 2.0, 14.0, 16.0, 12.0, 10.0, 11.0, 0.0, 0.0, 0.0, 13.0, 12.0, 9.0, 15.0, 10.0, 0.0, 0.0, 0.0, 3.0, 14.0, 14.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 15.0, 14.0, 1.0, 0.0, 0.0, 0.0, 0.0, 12.0, 12.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 4.0, 15.0, 16.0, 3.0, 0.0, 0.0], [0.0, 0.0, 8.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 6.0, 12.0, 2.0, 14.0, 13.0, 0.0, 0.0, 0.0, 9.0, 6.0, 1.0, 14.0, 14.0, 0.0, 0.0, 0.0, 2.0, 11.0, 12.0, 8.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 9.0, 0.0, 0.0, 0.0, 2.0, 0.0, 1.0, 12.0, 6.0, 0.0, 0.0, 0.0, 8.0, 9.0, 13.0, 7.0, 0.0, 0.0], [0.0, 0.0, 0.0, 16.0, 11.0, 1.0, 0.0, 0.0, 0.0, 0.0, 13.0, 16.0, 10.0, 9.0, 0.0, 0.0, 0.0, 2.0, 16.0, 11.0, 1.0, 14.0, 2.0, 0.0, 0.0, 3.0, 16.0, 1.0, 0.0, 8.0, 7.0, 0.0, 0.0, 4.0, 13.0, 0.0, 0.0, 8.0, 9.0, 0.0, 0.0, 3.0, 16.0, 1.0, 0.0, 10.0, 9.0, 0.0, 0.0, 0.0, 10.0, 8.0, 3.0, 16.0, 4.0, 0.0, 0.0, 0.0, 1.0, 11.0, 16.0, 13.0, 1.0, 0.0], [0.0, 0.0, 0.0, 0.0, 5.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 8.0, 15.0, 16.0, 3.0, 0.0, 0.0, 2.0, 13.0, 15.0, 5.0, 16.0, 0.0, 0.0, 0.0, 8.0, 14.0, 2.0, 3.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 1.0, 0.0], [0.0, 0.0, 4.0, 16.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 12.0, 11.0, 7.0, 11.0, 0.0, 0.0, 0.0, 0.0, 9.0, 2.0, 5.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 1.0, 15.0, 15.0, 10.0, 1.0, 0.0, 0.0, 0.0, 5.0, 16.0, 8.0, 11.0, 11.0, 0.0], [0.0, 1.0, 13.0, 16.0, 16.0, 8.0, 0.0, 0.0, 0.0, 11.0, 13.0, 4.0, 13.0, 7.0, 0.0, 0.0, 0.0, 7.0, 1.0, 7.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 15.0, 9.0, 0.0, 0.0, 0.0, 0.0, 3.0, 6.0, 8.0, 15.0, 8.0, 0.0, 0.0, 0.0, 6.0, 1.0, 0.0, 7.0, 13.0, 0.0, 0.0, 4.0, 16.0, 5.0, 2.0, 13.0, 10.0, 0.0, 0.0, 1.0, 12.0, 16.0, 16.0, 11.0, 1.0, 0.0], [0.0, 0.0, 0.0, 1.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 14.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 12.0, 0.0, 3.0, 9.0, 0.0, 0.0, 0.0, 14.0, 2.0, 0.0, 10.0, 7.0, 0.0, 0.0, 6.0, 13.0, 5.0, 11.0, 14.0, 1.0, 0.0, 0.0, 11.0, 16.0, 16.0, 16.0, 9.0, 0.0, 0.0, 0.0, 1.0, 2.0, 1.0, 14.0, 1.0, 0.0, 0.0], [0.0, 0.0, 6.0, 15.0, 16.0, 16.0, 3.0, 0.0, 0.0, 0.0, 14.0, 16.0, 6.0, 6.0, 1.0, 0.0, 0.0, 3.0, 14.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 15.0, 8.0, 4.0, 0.0, 0.0, 0.0, 0.0, 1.0, 10.0, 12.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 13.0, 14.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 14.0, 3.0, 0.0, 0.0], [0.0, 0.0, 2.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 13.0, 12.0, 11.0, 2.0, 0.0, 0.0, 0.0, 14.0, 16.0, 14.0, 10.0, 14.0, 0.0, 0.0, 0.0, 13.0, 7.0, 3.0, 0.0, 14.0, 6.0, 0.0, 0.0, 10.0, 14.0, 4.0, 8.0, 16.0, 7.0, 0.0, 0.0, 2.0, 14.0, 16.0, 15.0, 8.0, 0.0], [0.0, 0.0, 9.0, 13.0, 16.0, 16.0, 4.0, 0.0, 0.0, 2.0, 12.0, 5.0, 4.0, 14.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 13.0, 12.0, 5.0, 0.0, 0.0, 0.0, 0.0, 13.0, 14.0, 12.0, 8.0, 0.0, 0.0, 0.0, 0.0, 13.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 14.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 7.0, 0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 6.0, 8.0, 15.0, 13.0, 1.0, 0.0, 0.0, 1.0, 16.0, 16.0, 11.0, 15.0, 4.0, 0.0, 0.0, 0.0, 15.0, 9.0, 8.0, 15.0, 2.0, 0.0, 0.0, 0.0, 10.0, 16.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 13.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 4.0, 15.0, 10.0, 12.0, 0.0, 0.0, 0.0, 0.0, 2.0, 15.0, 5.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 10.0, 0.0, 0.0, 0.0], [0.0, 1.0, 9.0, 14.0, 8.0, 0.0, 0.0, 0.0, 0.0, 8.0, 11.0, 3.0, 7.0, 11.0, 1.0, 0.0, 0.0, 12.0, 7.0, 0.0, 3.0, 16.0, 4.0, 0.0, 0.0, 3.0, 13.0, 12.0, 14.0, 14.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 1.0, 0.0, 0.0, 0.0, 8.0, 13.0, 14.0, 5.0, 0.0, 0.0], [0.0, 0.0, 9.0, 16.0, 11.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 13.0, 15.0, 7.0, 0.0, 0.0, 0.0, 7.0, 16.0, 6.0, 4.0, 16.0, 3.0, 0.0, 0.0, 9.0, 14.0, 0.0, 0.0, 11.0, 10.0, 0.0, 0.0, 8.0, 13.0, 0.0, 0.0, 7.0, 13.0, 0.0, 0.0, 7.0, 13.0, 0.0, 0.0, 7.0, 16.0, 0.0, 0.0, 3.0, 16.0, 7.0, 7.0, 15.0, 6.0, 0.0, 0.0, 0.0, 9.0, 16.0, 16.0, 10.0, 0.0, 0.0], [0.0, 0.0, 6.0, 14.0, 7.0, 6.0, 0.0, 0.0, 0.0, 1.0, 14.0, 6.0, 13.0, 16.0, 1.0, 0.0, 0.0, 5.0, 12.0, 0.0, 9.0, 16.0, 3.0, 0.0, 0.0, 1.0, 15.0, 14.0, 13.0, 11.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 8.0, 0.0, 0.0, 1.0, 14.0, 2.0, 1.0, 12.0, 1.0, 0.0, 0.0, 0.0, 4.0, 13.0, 15.0, 5.0, 0.0, 0.0], [0.0, 2.0, 16.0, 16.0, 16.0, 16.0, 3.0, 0.0, 0.0, 1.0, 16.0, 13.0, 6.0, 4.0, 0.0, 0.0, 0.0, 9.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 13.0, 7.0, 0.0, 0.0, 0.0, 0.0, 3.0, 11.0, 13.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 1.0, 0.0, 0.0, 2.0, 11.0, 5.0, 12.0, 14.0, 0.0, 0.0, 0.0, 3.0, 16.0, 16.0, 16.0, 5.0, 0.0, 0.0], [0.0, 0.0, 8.0, 16.0, 16.0, 9.0, 0.0, 0.0, 0.0, 1.0, 16.0, 15.0, 11.0, 8.0, 0.0, 0.0, 0.0, 1.0, 14.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 10.0, 6.0, 0.0, 0.0, 0.0, 0.0, 2.0, 12.0, 16.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 7.0, 15.0, 0.0, 0.0, 0.0, 0.0, 11.0, 5.0, 13.0, 13.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 16.0, 6.0, 0.0, 0.0], [0.0, 0.0, 0.0, 16.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 15.0, 11.0, 5.0, 0.0, 0.0, 0.0, 0.0, 14.0, 15.0, 12.0, 15.0, 11.0, 0.0, 0.0, 0.0, 12.0, 13.0, 0.0, 0.0, 16.0, 5.0, 0.0, 0.0, 6.0, 15.0, 4.0, 11.0, 16.0, 4.0, 0.0, 0.0, 0.0, 13.0, 16.0, 14.0, 9.0, 0.0], [0.0, 1.0, 14.0, 16.0, 16.0, 14.0, 1.0, 0.0, 0.0, 0.0, 10.0, 13.0, 6.0, 4.0, 0.0, 0.0, 0.0, 3.0, 15.0, 11.0, 3.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 16.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 10.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 11.0, 0.0, 0.0, 0.0, 0.0, 7.0, 12.0, 16.0, 5.0, 0.0, 0.0, 0.0, 2.0, 15.0, 15.0, 5.0, 0.0, 0.0, 0.0], [0.0, 0.0, 2.0, 14.0, 13.0, 2.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 15.0, 13.0, 0.0, 0.0, 0.0, 0.0, 13.0, 13.0, 1.0, 16.0, 3.0, 0.0, 0.0, 0.0, 12.0, 13.0, 0.0, 15.0, 6.0, 0.0, 0.0, 1.0, 16.0, 7.0, 1.0, 16.0, 4.0, 0.0, 0.0, 1.0, 16.0, 5.0, 8.0, 16.0, 1.0, 0.0, 0.0, 0.0, 15.0, 13.0, 15.0, 13.0, 0.0, 0.0, 0.0, 0.0, 3.0, 15.0, 15.0, 2.0, 0.0, 0.0], [0.0, 0.0, 3.0, 13.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 11.0, 15.0, 8.0, 0.0, 0.0, 0.0, 0.0, 15.0, 1.0, 14.0, 16.0, 1.0, 0.0, 0.0, 0.0, 11.0, 13.0, 12.0, 13.0, 5.0, 0.0, 0.0, 0.0, 3.0, 8.0, 1.0, 8.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 6.0, 0.0, 0.0, 0.0, 9.0, 4.0, 3.0, 16.0, 2.0, 0.0, 0.0, 0.0, 4.0, 14.0, 14.0, 7.0, 0.0, 0.0], [0.0, 0.0, 7.0, 10.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 15.0, 16.0, 13.0, 15.0, 1.0, 0.0, 0.0, 0.0, 10.0, 13.0, 10.0, 16.0, 2.0, 0.0, 0.0, 0.0, 1.0, 16.0, 16.0, 11.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 15.0, 8.0, 14.0, 7.0, 0.0, 0.0, 0.0, 0.0, 16.0, 7.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 14.0, 0.0, 0.0, 0.0], [0.0, 0.0, 3.0, 12.0, 12.0, 1.0, 0.0, 0.0, 0.0, 3.0, 13.0, 6.0, 9.0, 12.0, 0.0, 0.0, 0.0, 9.0, 5.0, 0.0, 2.0, 15.0, 0.0, 0.0, 0.0, 7.0, 9.0, 4.0, 12.0, 16.0, 1.0, 0.0, 0.0, 0.0, 9.0, 11.0, 3.0, 10.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 3.0, 0.0, 0.0, 0.0, 10.0, 2.0, 1.0, 13.0, 0.0, 0.0, 0.0, 0.0, 3.0, 13.0, 16.0, 4.0, 0.0, 0.0], [0.0, 0.0, 3.0, 15.0, 13.0, 2.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 12.0, 13.0, 0.0, 0.0, 0.0, 0.0, 13.0, 13.0, 9.0, 14.0, 0.0, 0.0, 0.0, 0.0, 6.0, 15.0, 15.0, 11.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 14.0, 1.0, 0.0, 0.0, 0.0, 0.0, 11.0, 14.0, 15.0, 5.0, 0.0, 0.0, 0.0, 0.0, 9.0, 10.0, 14.0, 9.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 15.0, 2.0, 0.0, 0.0], [0.0, 0.0, 0.0, 2.0, 15.0, 8.0, 0.0, 0.0, 0.0, 0.0, 1.0, 15.0, 13.0, 3.0, 0.0, 0.0, 0.0, 0.0, 9.0, 13.0, 1.0, 0.0, 0.0, 0.0, 0.0, 1.0, 15.0, 6.0, 0.0, 5.0, 11.0, 0.0, 0.0, 7.0, 14.0, 0.0, 1.0, 15.0, 8.0, 0.0, 0.0, 8.0, 15.0, 9.0, 15.0, 16.0, 3.0, 0.0, 0.0, 1.0, 11.0, 16.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 15.0, 5.0, 0.0, 0.0], [0.0, 0.0, 0.0, 16.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 15.0, 1.0, 0.0, 0.0], [0.0, 0.0, 3.0, 11.0, 16.0, 15.0, 2.0, 0.0, 0.0, 4.0, 16.0, 10.0, 4.0, 16.0, 4.0, 0.0, 0.0, 7.0, 6.0, 0.0, 5.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 6.0, 15.0, 6.0, 1.0, 0.0, 0.0, 0.0, 0.0, 13.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 15.0, 2.0, 0.0, 0.0, 0.0], [0.0, 0.0, 6.0, 16.0, 16.0, 6.0, 0.0, 0.0, 0.0, 5.0, 13.0, 5.0, 7.0, 13.0, 0.0, 0.0, 0.0, 1.0, 1.0, 0.0, 5.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 14.0, 14.0, 8.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 8.0, 2.0, 0.0, 0.0, 0.0, 0.0, 8.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 14.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 12.0, 0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 9.0, 16.0, 16.0, 12.0, 0.0, 0.0, 0.0, 2.0, 16.0, 8.0, 9.0, 16.0, 0.0, 0.0, 0.0, 1.0, 8.0, 0.0, 13.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 14.0, 15.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 14.0, 0.0, 0.0, 0.0, 9.0, 6.0, 0.0, 11.0, 15.0, 0.0, 0.0, 0.0, 8.0, 16.0, 16.0, 16.0, 6.0, 0.0], [0.0, 0.0, 9.0, 16.0, 16.0, 16.0, 7.0, 0.0, 0.0, 3.0, 16.0, 11.0, 4.0, 4.0, 1.0, 0.0, 0.0, 6.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 9.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 10.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 2.0, 0.0, 8.0, 14.0, 0.0, 0.0, 0.0, 0.0, 13.0, 7.0, 8.0, 14.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 16.0, 4.0, 0.0, 0.0], [0.0, 0.0, 0.0, 14.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 14.0, 16.0, 4.0, 0.0, 0.0], [0.0, 0.0, 1.0, 13.0, 14.0, 1.0, 0.0, 0.0, 0.0, 1.0, 11.0, 16.0, 10.0, 12.0, 0.0, 0.0, 0.0, 6.0, 16.0, 15.0, 0.0, 13.0, 3.0, 0.0, 0.0, 7.0, 14.0, 5.0, 0.0, 8.0, 9.0, 0.0, 0.0, 6.0, 13.0, 0.0, 0.0, 8.0, 11.0, 0.0, 0.0, 4.0, 15.0, 0.0, 1.0, 14.0, 9.0, 0.0, 0.0, 0.0, 14.0, 8.0, 12.0, 16.0, 3.0, 0.0, 0.0, 0.0, 3.0, 15.0, 15.0, 4.0, 0.0, 0.0], [0.0, 0.0, 2.0, 14.0, 13.0, 1.0, 0.0, 0.0, 0.0, 0.0, 14.0, 16.0, 13.0, 11.0, 0.0, 0.0, 0.0, 4.0, 16.0, 11.0, 1.0, 13.0, 3.0, 0.0, 0.0, 5.0, 16.0, 3.0, 0.0, 10.0, 9.0, 0.0, 0.0, 6.0, 13.0, 0.0, 0.0, 9.0, 11.0, 0.0, 0.0, 2.0, 15.0, 0.0, 1.0, 15.0, 8.0, 0.0, 0.0, 0.0, 11.0, 12.0, 15.0, 15.0, 1.0, 0.0, 0.0, 0.0, 2.0, 13.0, 16.0, 5.0, 0.0, 0.0], [0.0, 0.0, 10.0, 16.0, 16.0, 10.0, 0.0, 0.0, 0.0, 4.0, 16.0, 6.0, 1.0, 16.0, 2.0, 0.0, 0.0, 0.0, 10.0, 0.0, 1.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 15.0, 4.0, 0.0, 0.0, 0.0, 0.0, 2.0, 13.0, 16.0, 12.0, 8.0, 0.0, 0.0, 0.0, 13.0, 15.0, 11.0, 8.0, 14.0, 7.0], [0.0, 0.0, 10.0, 16.0, 14.0, 6.0, 0.0, 0.0, 0.0, 0.0, 16.0, 8.0, 6.0, 16.0, 3.0, 0.0, 0.0, 0.0, 9.0, 5.0, 0.0, 13.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 11.0, 0.0, 0.0, 0.0, 0.0, 2.0, 9.0, 16.0, 10.0, 6.0, 1.0, 0.0, 0.0, 12.0, 16.0, 14.0, 13.0, 16.0, 8.0], [0.0, 0.0, 7.0, 15.0, 16.0, 15.0, 0.0, 0.0, 0.0, 2.0, 15.0, 2.0, 5.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 14.0, 11.0, 2.0, 0.0, 0.0, 0.0, 6.0, 16.0, 16.0, 16.0, 8.0, 0.0, 0.0, 0.0, 5.0, 13.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 12.0, 0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 6.0, 14.0, 16.0, 6.0, 0.0, 0.0, 0.0, 6.0, 16.0, 16.0, 8.0, 15.0, 0.0, 0.0, 0.0, 7.0, 14.0, 14.0, 12.0, 14.0, 0.0, 0.0, 0.0, 0.0, 13.0, 10.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 13.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 15.0, 5.0, 15.0, 4.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 15.0, 1.0, 0.0, 0.0], [0.0, 0.0, 10.0, 16.0, 13.0, 3.0, 0.0, 0.0, 0.0, 0.0, 6.0, 15.0, 12.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 6.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 8.0, 0.0, 0.0, 0.0, 0.0, 4.0, 15.0, 16.0, 13.0, 8.0, 5.0, 0.0, 0.0, 6.0, 16.0, 10.0, 9.0, 12.0, 15.0], [0.0, 0.0, 10.0, 16.0, 14.0, 2.0, 0.0, 0.0, 0.0, 3.0, 16.0, 9.0, 8.0, 14.0, 0.0, 0.0, 0.0, 5.0, 16.0, 3.0, 2.0, 15.0, 6.0, 0.0, 0.0, 5.0, 16.0, 3.0, 0.0, 12.0, 10.0, 0.0, 0.0, 7.0, 14.0, 0.0, 0.0, 12.0, 11.0, 0.0, 0.0, 7.0, 16.0, 1.0, 3.0, 16.0, 5.0, 0.0, 0.0, 4.0, 16.0, 7.0, 12.0, 11.0, 1.0, 0.0, 0.0, 0.0, 10.0, 16.0, 14.0, 3.0, 0.0, 0.0], [0.0, 0.0, 0.0, 1.0, 15.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 16.0, 13.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 16.0, 13.0, 0.0, 0.0, 0.0, 11.0, 16.0, 11.0, 13.0, 13.0, 0.0, 0.0, 0.0, 3.0, 7.0, 0.0, 12.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 15.0, 13.0, 0.0, 0.0], [0.0, 0.0, 11.0, 16.0, 16.0, 7.0, 0.0, 0.0, 0.0, 2.0, 16.0, 10.0, 11.0, 15.0, 0.0, 0.0, 0.0, 0.0, 15.0, 4.0, 4.0, 16.0, 3.0, 0.0, 0.0, 0.0, 3.0, 3.0, 5.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 2.0, 12.0, 15.0, 6.0, 4.0, 1.0, 0.0, 0.0, 10.0, 16.0, 16.0, 16.0, 16.0, 10.0], [0.0, 0.0, 0.0, 14.0, 14.0, 1.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 16.0, 8.0, 3.0, 0.0, 0.0, 0.0, 3.0, 16.0, 15.0, 8.0, 14.0, 2.0, 0.0, 0.0, 0.0, 16.0, 11.0, 0.0, 11.0, 10.0, 0.0, 0.0, 0.0, 9.0, 14.0, 7.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 12.0, 16.0, 14.0, 1.0, 0.0], [0.0, 0.0, 8.0, 16.0, 16.0, 12.0, 0.0, 0.0, 0.0, 0.0, 14.0, 12.0, 10.0, 14.0, 0.0, 0.0, 0.0, 0.0, 3.0, 3.0, 10.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 4.0, 0.0, 7.0, 14.0, 0.0, 0.0, 0.0, 2.0, 16.0, 5.0, 10.0, 16.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 16.0, 7.0, 0.0, 0.0], [0.0, 0.0, 7.0, 16.0, 16.0, 14.0, 0.0, 0.0, 0.0, 0.0, 16.0, 12.0, 10.0, 15.0, 1.0, 0.0, 0.0, 0.0, 10.0, 4.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 11.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 7.0, 0.0, 0.0, 0.0, 8.0, 4.0, 10.0, 15.0, 2.0, 0.0, 0.0, 0.0, 12.0, 16.0, 16.0, 6.0, 0.0, 0.0], [0.0, 0.0, 12.0, 16.0, 16.0, 5.0, 0.0, 0.0, 0.0, 3.0, 13.0, 8.0, 14.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 16.0, 0.0, 0.0, 0.0, 6.0, 16.0, 16.0, 16.0, 16.0, 13.0, 0.0, 0.0, 6.0, 9.0, 11.0, 16.0, 9.0, 5.0, 0.0, 0.0, 0.0, 0.0, 14.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 10.0, 0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 5.0, 15.0, 16.0, 15.0, 1.0, 0.0, 0.0, 10.0, 16.0, 11.0, 8.0, 16.0, 5.0, 0.0, 0.0, 12.0, 10.0, 1.0, 10.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 11.0, 1.0, 0.0, 0.0, 0.0, 0.0, 1.0, 10.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 2.0, 0.0, 7.0, 16.0, 0.0, 0.0, 0.0, 8.0, 13.0, 5.0, 15.0, 12.0, 0.0, 0.0, 0.0, 5.0, 15.0, 16.0, 14.0, 3.0, 0.0], [0.0, 0.0, 10.0, 16.0, 16.0, 10.0, 1.0, 0.0, 0.0, 4.0, 16.0, 11.0, 11.0, 16.0, 3.0, 0.0, 0.0, 1.0, 9.0, 1.0, 10.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 15.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 0.0, 0.0, 2.0, 12.0, 7.0, 4.0, 14.0, 15.0, 1.0, 0.0, 0.0, 11.0, 16.0, 16.0, 15.0, 4.0, 0.0], [0.0, 0.0, 0.0, 1.0, 13.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 14.0, 1.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 11.0, 0.0, 3.0, 8.0, 0.0, 0.0, 6.0, 15.0, 2.0, 0.0, 14.0, 7.0, 0.0, 0.0, 8.0, 16.0, 12.0, 13.0, 16.0, 4.0, 0.0, 0.0, 3.0, 11.0, 11.0, 15.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 9.0, 0.0, 0.0], [0.0, 0.0, 0.0, 14.0, 14.0, 1.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 10.0, 2.0, 0.0, 0.0, 0.0, 0.0, 14.0, 14.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 16.0, 14.0, 4.0, 0.0, 0.0, 0.0, 1.0, 16.0, 16.0, 8.0, 16.0, 2.0, 0.0, 0.0, 0.0, 14.0, 11.0, 0.0, 13.0, 9.0, 0.0, 0.0, 0.0, 9.0, 14.0, 6.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 14.0, 16.0, 14.0, 0.0, 0.0], [0.0, 0.0, 0.0, 14.0, 14.0, 1.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 16.0, 16.0, 9.0, 0.0, 0.0, 0.0, 1.0, 16.0, 15.0, 8.0, 14.0, 9.0, 0.0, 0.0, 0.0, 14.0, 12.0, 0.0, 12.0, 13.0, 0.0, 0.0, 0.0, 6.0, 14.0, 7.0, 16.0, 10.0, 0.0, 0.0, 0.0, 1.0, 13.0, 16.0, 13.0, 1.0, 0.0], [0.0, 0.0, 0.0, 12.0, 14.0, 1.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 15.0, 9.0, 2.0, 0.0, 0.0, 0.0, 1.0, 16.0, 15.0, 16.0, 15.0, 2.0, 0.0, 0.0, 0.0, 15.0, 7.0, 1.0, 12.0, 10.0, 0.0, 0.0, 0.0, 10.0, 14.0, 4.0, 15.0, 12.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 15.0, 5.0, 0.0], [0.0, 0.0, 0.0, 4.0, 14.0, 2.0, 0.0, 0.0, 0.0, 0.0, 1.0, 15.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 14.0, 0.0, 2.0, 8.0, 0.0, 0.0, 1.0, 15.0, 5.0, 0.0, 10.0, 11.0, 0.0, 0.0, 6.0, 14.0, 1.0, 6.0, 16.0, 5.0, 0.0, 0.0, 12.0, 16.0, 16.0, 16.0, 14.0, 2.0, 0.0, 0.0, 3.0, 12.0, 13.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 10.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 12.0, 14.0, 5.0, 0.0, 0.0, 0.0, 0.0, 6.0, 11.0, 4.0, 15.0, 0.0, 0.0, 0.0, 0.0, 8.0, 9.0, 8.0, 16.0, 3.0, 0.0, 0.0, 0.0, 3.0, 14.0, 13.0, 13.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 8.0, 0.0, 0.0, 0.0, 13.0, 6.0, 1.0, 7.0, 9.0, 0.0, 0.0, 0.0, 1.0, 10.0, 14.0, 15.0, 2.0, 0.0], [0.0, 0.0, 1.0, 15.0, 15.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 14.0, 16.0, 7.0, 0.0, 0.0], [0.0, 0.0, 7.0, 16.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 14.0, 13.0, 7.0, 4.0, 0.0, 0.0, 0.0, 5.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 15.0, 8.0, 6.0, 1.0, 0.0, 0.0, 0.0, 4.0, 12.0, 12.0, 16.0, 13.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 15.0, 6.0, 0.0, 0.0, 0.0, 5.0, 6.0, 6.0, 16.0, 4.0, 0.0, 0.0, 0.0, 7.0, 16.0, 16.0, 11.0, 1.0, 0.0], [0.0, 0.0, 1.0, 12.0, 12.0, 3.0, 0.0, 0.0, 0.0, 0.0, 9.0, 13.0, 5.0, 14.0, 0.0, 0.0, 0.0, 0.0, 15.0, 3.0, 0.0, 10.0, 2.0, 0.0, 0.0, 3.0, 16.0, 4.0, 0.0, 9.0, 4.0, 0.0, 0.0, 4.0, 13.0, 0.0, 0.0, 9.0, 2.0, 0.0, 0.0, 3.0, 13.0, 0.0, 1.0, 15.0, 0.0, 0.0, 0.0, 0.0, 13.0, 6.0, 8.0, 9.0, 0.0, 0.0, 0.0, 0.0, 2.0, 14.0, 12.0, 2.0, 0.0, 0.0], [0.0, 0.0, 8.0, 16.0, 6.0, 3.0, 0.0, 0.0, 0.0, 2.0, 13.0, 5.0, 10.0, 14.0, 0.0, 0.0, 0.0, 4.0, 14.0, 1.0, 9.0, 16.0, 0.0, 0.0, 0.0, 0.0, 12.0, 13.0, 8.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 0.0, 11.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 2.0, 0.0, 0.0, 0.0, 4.0, 1.0, 0.0, 14.0, 1.0, 0.0, 0.0, 0.0, 6.0, 15.0, 16.0, 10.0, 0.0, 0.0], [0.0, 0.0, 4.0, 9.0, 13.0, 13.0, 0.0, 0.0, 0.0, 1.0, 13.0, 15.0, 6.0, 2.0, 0.0, 0.0, 0.0, 0.0, 9.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 3.0, 4.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 16.0, 16.0, 8.0, 0.0, 0.0, 0.0, 2.0, 11.0, 3.0, 0.0, 10.0, 4.0, 0.0, 0.0, 0.0, 2.0, 5.0, 4.0, 15.0, 1.0, 0.0, 0.0, 0.0, 3.0, 12.0, 14.0, 8.0, 0.0, 0.0], [0.0, 1.0, 13.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 8.0, 15.0, 8.0, 15.0, 5.0, 0.0, 0.0, 0.0, 11.0, 9.0, 0.0, 12.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 16.0, 16.0, 10.0, 1.0, 0.0, 1.0, 16.0, 14.0, 10.0, 8.0, 11.0, 1.0], [0.0, 0.0, 2.0, 16.0, 14.0, 2.0, 0.0, 0.0, 0.0, 1.0, 12.0, 16.0, 16.0, 10.0, 0.0, 0.0, 0.0, 4.0, 16.0, 12.0, 12.0, 12.0, 0.0, 0.0, 0.0, 1.0, 15.0, 11.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 14.0, 14.0, 8.0, 0.0, 0.0, 0.0, 0.0, 10.0, 12.0, 6.0, 15.0, 0.0, 0.0, 0.0, 0.0, 2.0, 13.0, 16.0, 12.0, 0.0, 0.0], [0.0, 0.0, 7.0, 16.0, 14.0, 3.0, 0.0, 0.0, 0.0, 0.0, 9.0, 14.0, 11.0, 15.0, 0.0, 0.0, 0.0, 0.0, 1.0, 5.0, 0.0, 15.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 1.0, 12.0, 14.0, 1.0, 0.0, 0.0, 0.0, 5.0, 12.0, 16.0, 16.0, 14.0, 1.0, 0.0, 0.0, 8.0, 16.0, 14.0, 10.0, 13.0, 3.0], [0.0, 0.0, 5.0, 13.0, 11.0, 1.0, 0.0, 0.0, 0.0, 3.0, 16.0, 11.0, 8.0, 12.0, 0.0, 0.0, 0.0, 5.0, 16.0, 0.0, 0.0, 13.0, 3.0, 0.0, 0.0, 5.0, 13.0, 0.0, 0.0, 6.0, 7.0, 0.0, 0.0, 7.0, 10.0, 0.0, 0.0, 8.0, 7.0, 0.0, 0.0, 4.0, 13.0, 0.0, 1.0, 14.0, 5.0, 0.0, 0.0, 1.0, 15.0, 5.0, 12.0, 10.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 10.0, 1.0, 0.0, 0.0], [0.0, 0.0, 4.0, 15.0, 13.0, 2.0, 0.0, 0.0, 0.0, 4.0, 16.0, 15.0, 7.0, 11.0, 0.0, 0.0, 0.0, 8.0, 14.0, 14.0, 0.0, 14.0, 2.0, 0.0, 0.0, 7.0, 9.0, 12.0, 4.0, 8.0, 7.0, 0.0, 0.0, 6.0, 11.0, 0.0, 0.0, 7.0, 9.0, 0.0, 0.0, 2.0, 15.0, 1.0, 0.0, 10.0, 8.0, 0.0, 0.0, 0.0, 11.0, 8.0, 4.0, 15.0, 4.0, 0.0, 0.0, 0.0, 2.0, 14.0, 16.0, 10.0, 0.0, 0.0], [0.0, 0.0, 0.0, 3.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 9.0, 0.0, 0.0, 0.0, 3.0, 12.0, 16.0, 16.0, 8.0, 0.0, 0.0, 0.0, 13.0, 16.0, 9.0, 16.0, 8.0, 0.0, 0.0, 0.0, 1.0, 2.0, 0.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 9.0, 0.0, 0.0], [0.0, 1.0, 12.0, 16.0, 16.0, 15.0, 0.0, 0.0, 0.0, 7.0, 13.0, 7.0, 8.0, 16.0, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 8.0, 14.0, 0.0, 0.0, 0.0, 0.0, 7.0, 15.0, 16.0, 16.0, 11.0, 0.0, 0.0, 3.0, 15.0, 12.0, 15.0, 4.0, 2.0, 0.0, 0.0, 0.0, 1.0, 12.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 9.0, 0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 8.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 13.0, 8.0, 2.0, 0.0, 0.0, 0.0, 0.0, 13.0, 16.0, 13.0, 14.0, 4.0, 0.0, 0.0, 0.0, 11.0, 8.0, 2.0, 3.0, 13.0, 0.0, 0.0, 0.0, 7.0, 11.0, 5.0, 12.0, 11.0, 0.0, 0.0, 0.0, 1.0, 11.0, 12.0, 4.0, 0.0, 0.0], [0.0, 0.0, 13.0, 16.0, 16.0, 9.0, 0.0, 0.0, 0.0, 2.0, 16.0, 7.0, 7.0, 16.0, 0.0, 0.0, 0.0, 0.0, 4.0, 0.0, 11.0, 10.0, 0.0, 0.0, 0.0, 0.0, 1.0, 13.0, 14.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 15.0, 11.0, 1.0, 0.0, 0.0, 0.0, 0.0, 1.0, 2.0, 13.0, 10.0, 0.0, 0.0, 0.0, 8.0, 9.0, 1.0, 12.0, 11.0, 0.0, 0.0, 0.0, 11.0, 16.0, 16.0, 15.0, 1.0, 0.0], [0.0, 0.0, 7.0, 16.0, 12.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 7.0, 13.0, 3.0, 0.0, 0.0, 0.0, 0.0, 15.0, 2.0, 10.0, 6.0, 0.0, 0.0, 0.0, 0.0, 4.0, 0.0, 12.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 15.0, 14.0, 8.0, 7.0, 1.0, 0.0, 0.0, 6.0, 13.0, 12.0, 12.0, 15.0, 12.0], [0.0, 0.0, 1.0, 14.0, 14.0, 2.0, 0.0, 0.0, 0.0, 0.0, 1.0, 14.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 12.0, 1.0, 0.0, 0.0, 0.0, 0.0, 14.0, 16.0, 11.0, 0.0, 0.0], [0.0, 1.0, 8.0, 16.0, 15.0, 0.0, 0.0, 0.0, 0.0, 4.0, 13.0, 5.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 7.0, 14.0, 6.0, 2.0, 0.0, 0.0, 0.0, 12.0, 16.0, 14.0, 13.0, 8.0, 0.0, 0.0, 0.0, 8.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 8.0, 0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 7.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 14.0, 8.0, 0.0, 1.0, 0.0, 0.0, 0.0, 8.0, 14.0, 0.0, 9.0, 11.0, 0.0, 0.0, 1.0, 15.0, 6.0, 1.0, 14.0, 10.0, 0.0, 0.0, 8.0, 15.0, 0.0, 8.0, 16.0, 1.0, 0.0, 0.0, 10.0, 15.0, 9.0, 15.0, 15.0, 0.0, 0.0, 0.0, 5.0, 15.0, 14.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 15.0, 2.0, 0.0, 0.0], [0.0, 0.0, 0.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 16.0, 12.0, 9.0, 1.0, 0.0, 0.0, 0.0, 15.0, 16.0, 14.0, 13.0, 12.0, 0.0, 0.0, 0.0, 14.0, 15.0, 7.0, 0.0, 15.0, 6.0, 0.0, 0.0, 9.0, 14.0, 4.0, 7.0, 15.0, 8.0, 0.0, 0.0, 1.0, 13.0, 16.0, 16.0, 12.0, 1.0], [0.0, 0.0, 10.0, 16.0, 16.0, 10.0, 0.0, 0.0, 0.0, 8.0, 15.0, 7.0, 6.0, 14.0, 0.0, 0.0, 0.0, 1.0, 3.0, 0.0, 15.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 13.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 15.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 12.0, 0.0, 0.0, 0.0, 0.0, 6.0, 0.0, 12.0, 10.0, 0.0, 0.0, 0.0, 0.0, 13.0, 16.0, 15.0, 3.0, 0.0, 0.0], [0.0, 0.0, 2.0, 14.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 15.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 14.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 15.0, 12.0, 0.0, 0.0, 0.0], [0.0, 1.0, 12.0, 16.0, 14.0, 2.0, 0.0, 0.0, 0.0, 7.0, 15.0, 4.0, 13.0, 7.0, 0.0, 0.0, 0.0, 0.0, 2.0, 0.0, 12.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 13.0, 15.0, 9.0, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 8.0, 15.0, 0.0, 0.0, 0.0, 8.0, 4.0, 1.0, 12.0, 10.0, 0.0, 0.0, 1.0, 13.0, 16.0, 16.0, 13.0, 1.0, 0.0], [0.0, 0.0, 8.0, 16.0, 13.0, 2.0, 0.0, 0.0, 0.0, 2.0, 16.0, 8.0, 11.0, 14.0, 1.0, 0.0, 0.0, 3.0, 16.0, 1.0, 12.0, 16.0, 5.0, 0.0, 0.0, 0.0, 12.0, 16.0, 16.0, 13.0, 9.0, 0.0, 0.0, 0.0, 0.0, 4.0, 2.0, 9.0, 14.0, 0.0, 0.0, 0.0, 4.0, 5.0, 0.0, 8.0, 13.0, 0.0, 0.0, 1.0, 16.0, 11.0, 1.0, 13.0, 7.0, 0.0, 0.0, 0.0, 8.0, 15.0, 16.0, 15.0, 1.0, 0.0], [0.0, 0.0, 2.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 15.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 16.0, 11.0, 0.0, 0.0], [0.0, 0.0, 3.0, 13.0, 16.0, 13.0, 1.0, 0.0, 0.0, 3.0, 15.0, 13.0, 10.0, 16.0, 2.0, 0.0, 0.0, 4.0, 10.0, 0.0, 4.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 3.0, 11.0, 14.0, 2.0, 0.0, 0.0, 0.0, 9.0, 16.0, 16.0, 16.0, 8.0, 0.0, 0.0, 0.0, 9.0, 12.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 12.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 8.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 10.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 10.0, 2.0, 0.0, 0.0, 0.0, 0.0, 12.0, 16.0, 12.0, 11.0, 5.0, 0.0, 0.0, 0.0, 11.0, 7.0, 3.0, 2.0, 14.0, 0.0, 0.0, 0.0, 6.0, 13.0, 0.0, 4.0, 13.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 15.0, 5.0, 0.0], [0.0, 0.0, 6.0, 12.0, 13.0, 7.0, 0.0, 0.0, 0.0, 0.0, 16.0, 10.0, 16.0, 12.0, 0.0, 0.0, 0.0, 0.0, 13.0, 7.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 1.0, 15.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 7.0, 10.0, 2.0, 0.0, 0.0, 0.0, 0.0, 13.0, 4.0, 13.0, 3.0, 0.0, 0.0, 0.0, 0.0, 7.0, 15.0, 9.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 0.0, 12.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 4.0, 15.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 10.0, 0.0, 8.0, 10.0, 0.0, 0.0, 6.0, 15.0, 1.0, 1.0, 15.0, 8.0, 0.0, 0.0, 7.0, 16.0, 8.0, 10.0, 16.0, 7.0, 0.0, 0.0, 4.0, 15.0, 16.0, 16.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 9.0, 0.0, 0.0], [0.0, 0.0, 5.0, 16.0, 16.0, 10.0, 0.0, 0.0, 0.0, 2.0, 16.0, 14.0, 14.0, 14.0, 0.0, 0.0, 0.0, 2.0, 14.0, 4.0, 14.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 13.0, 0.0, 0.0, 0.0, 7.0, 11.0, 8.0, 16.0, 11.0, 0.0, 0.0, 0.0, 8.0, 16.0, 16.0, 10.0, 1.0, 0.0], [0.0, 0.0, 2.0, 16.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 15.0, 13.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 6.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 1.0, 13.0, 13.0, 1.0, 2.0, 1.0, 0.0, 0.0, 7.0, 16.0, 5.0, 1.0, 14.0, 10.0, 0.0, 0.0, 12.0, 16.0, 8.0, 12.0, 16.0, 2.0, 0.0, 0.0, 2.0, 12.0, 15.0, 16.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 15.0, 0.0, 0.0, 0.0], [0.0, 0.0, 4.0, 16.0, 12.0, 1.0, 0.0, 0.0, 0.0, 2.0, 16.0, 16.0, 11.0, 8.0, 0.0, 0.0, 0.0, 3.0, 16.0, 13.0, 1.0, 14.0, 2.0, 0.0, 0.0, 4.0, 16.0, 0.0, 0.0, 13.0, 4.0, 0.0, 0.0, 4.0, 15.0, 0.0, 0.0, 13.0, 8.0, 0.0, 0.0, 1.0, 16.0, 1.0, 0.0, 14.0, 5.0, 0.0, 0.0, 0.0, 10.0, 8.0, 7.0, 15.0, 1.0, 0.0, 0.0, 0.0, 2.0, 13.0, 16.0, 8.0, 0.0, 0.0], [0.0, 0.0, 7.0, 16.0, 15.0, 4.0, 0.0, 0.0, 0.0, 0.0, 3.0, 13.0, 4.0, 2.0, 0.0, 0.0, 0.0, 0.0, 9.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 16.0, 13.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 11.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 13.0, 6.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 14.0, 0.0, 0.0, 0.0], [0.0, 0.0, 9.0, 16.0, 16.0, 7.0, 0.0, 0.0, 0.0, 13.0, 15.0, 9.0, 12.0, 15.0, 0.0, 0.0, 0.0, 5.0, 4.0, 0.0, 13.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 10.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 12.0, 13.0, 0.0, 0.0, 0.0, 7.0, 1.0, 1.0, 12.0, 14.0, 0.0, 0.0, 0.0, 9.0, 16.0, 16.0, 14.0, 5.0, 0.0], [0.0, 0.0, 0.0, 15.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 16.0, 16.0, 9.0, 1.0, 0.0, 0.0, 0.0, 14.0, 11.0, 0.0, 8.0, 9.0, 0.0, 0.0, 0.0, 11.0, 14.0, 3.0, 2.0, 14.0, 0.0, 0.0, 0.0, 8.0, 11.0, 4.0, 14.0, 7.0, 0.0, 0.0, 0.0, 1.0, 12.0, 14.0, 6.0, 0.0, 0.0], [0.0, 0.0, 6.0, 12.0, 15.0, 9.0, 1.0, 0.0, 0.0, 5.0, 14.0, 4.0, 5.0, 16.0, 3.0, 0.0, 0.0, 9.0, 8.0, 3.0, 13.0, 16.0, 4.0, 0.0, 0.0, 3.0, 15.0, 15.0, 7.0, 10.0, 8.0, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 12.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 2.0, 0.0, 0.0, 0.0, 7.0, 4.0, 5.0, 13.0, 0.0, 0.0, 0.0, 0.0, 5.0, 14.0, 15.0, 4.0, 0.0, 0.0], [0.0, 0.0, 3.0, 16.0, 14.0, 1.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 9.0, 1.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 14.0, 16.0, 12.0, 2.0, 0.0, 0.0, 4.0, 16.0, 14.0, 13.0, 11.0, 14.0, 0.0, 0.0, 0.0, 16.0, 5.0, 3.0, 7.0, 16.0, 3.0, 0.0, 0.0, 11.0, 12.0, 8.0, 16.0, 10.0, 0.0, 0.0, 0.0, 2.0, 14.0, 16.0, 12.0, 0.0, 0.0], [0.0, 0.0, 2.0, 16.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 12.0, 15.0, 0.0, 0.0, 0.0], [0.0, 0.0, 8.0, 16.0, 15.0, 4.0, 0.0, 0.0, 0.0, 10.0, 16.0, 11.0, 13.0, 12.0, 0.0, 0.0, 0.0, 12.0, 7.0, 0.0, 13.0, 8.0, 0.0, 0.0, 0.0, 0.0, 1.0, 7.0, 16.0, 12.0, 5.0, 0.0, 0.0, 5.0, 15.0, 16.0, 16.0, 14.0, 9.0, 0.0, 0.0, 2.0, 8.0, 15.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 13.0, 0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 11.0, 16.0, 16.0, 11.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 7.0, 2.0, 0.0, 0.0, 0.0, 1.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 15.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 8.0, 0.0, 0.0, 0.0, 0.0, 3.0, 8.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 14.0, 16.0, 9.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 1.0, 11.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 13.0, 1.0, 0.0, 0.0, 0.0, 0.0, 8.0, 15.0, 3.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 6.0, 1.0, 5.0, 2.0, 0.0, 0.0, 12.0, 13.0, 8.0, 13.0, 16.0, 9.0, 0.0, 0.0, 16.0, 16.0, 13.0, 11.0, 16.0, 6.0, 0.0, 0.0, 3.0, 4.0, 0.0, 11.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 12.0, 0.0, 0.0], [0.0, 0.0, 0.0, 3.0, 14.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 11.0, 1.0, 0.0, 0.0, 0.0, 0.0, 9.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 4.0, 0.0, 4.0, 2.0, 0.0, 0.0, 12.0, 12.0, 7.0, 14.0, 16.0, 10.0, 0.0, 0.0, 13.0, 16.0, 14.0, 11.0, 16.0, 4.0, 0.0, 0.0, 2.0, 2.0, 0.0, 11.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 9.0, 0.0, 0.0], [0.0, 0.0, 3.0, 13.0, 16.0, 16.0, 5.0, 0.0, 0.0, 4.0, 15.0, 13.0, 10.0, 16.0, 6.0, 0.0, 0.0, 1.0, 8.0, 1.0, 4.0, 16.0, 4.0, 0.0, 0.0, 0.0, 1.0, 6.0, 11.0, 16.0, 10.0, 0.0, 0.0, 0.0, 13.0, 16.0, 16.0, 13.0, 3.0, 0.0, 0.0, 0.0, 10.0, 7.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 8.0, 0.0, 0.0, 0.0], [0.0, 0.0, 7.0, 14.0, 11.0, 1.0, 0.0, 0.0, 0.0, 6.0, 15.0, 6.0, 7.0, 10.0, 0.0, 0.0, 0.0, 11.0, 7.0, 0.0, 2.0, 12.0, 0.0, 0.0, 0.0, 5.0, 4.0, 0.0, 1.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 13.0, 2.0, 3.0, 0.0, 0.0, 0.0, 7.0, 16.0, 16.0, 16.0, 16.0, 6.0], [0.0, 0.0, 8.0, 15.0, 14.0, 7.0, 0.0, 0.0, 0.0, 0.0, 12.0, 16.0, 14.0, 16.0, 0.0, 0.0, 0.0, 0.0, 3.0, 15.0, 14.0, 14.0, 1.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 5.0, 14.0, 14.0, 4.0, 0.0, 0.0, 0.0, 0.0, 12.0, 6.0, 8.0, 8.0, 0.0, 0.0, 0.0, 1.0, 16.0, 2.0, 9.0, 7.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 11.0, 1.0, 0.0, 0.0], [0.0, 0.0, 11.0, 16.0, 11.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 11.0, 15.0, 6.0, 0.0, 0.0, 0.0, 1.0, 10.0, 3.0, 10.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 5.0, 0.0, 0.0, 0.0, 1.0, 13.0, 16.0, 16.0, 13.0, 8.0, 0.0, 0.0, 0.0, 11.0, 11.0, 8.0, 13.0, 16.0, 7.0], [0.0, 0.0, 9.0, 16.0, 13.0, 1.0, 0.0, 0.0, 0.0, 8.0, 16.0, 8.0, 11.0, 8.0, 0.0, 0.0, 0.0, 11.0, 10.0, 0.0, 8.0, 10.0, 0.0, 0.0, 0.0, 1.0, 5.0, 0.0, 11.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 4.0, 14.0, 15.0, 7.0, 4.0, 1.0, 0.0, 0.0, 8.0, 16.0, 16.0, 16.0, 16.0, 12.0], [0.0, 0.0, 9.0, 16.0, 16.0, 16.0, 4.0, 0.0, 0.0, 0.0, 8.0, 16.0, 5.0, 4.0, 0.0, 0.0, 0.0, 1.0, 15.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 15.0, 8.0, 7.0, 3.0, 0.0, 0.0, 0.0, 3.0, 12.0, 12.0, 14.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 11.0, 12.0, 0.0, 0.0, 0.0, 1.0, 2.0, 1.0, 11.0, 10.0, 0.0, 0.0, 0.0, 9.0, 16.0, 16.0, 16.0, 4.0, 0.0], [0.0, 0.0, 2.0, 13.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 13.0, 7.0, 7.0, 13.0, 0.0, 0.0, 0.0, 1.0, 7.0, 0.0, 7.0, 13.0, 2.0, 0.0, 0.0, 0.0, 1.0, 10.0, 16.0, 16.0, 13.0, 0.0, 0.0, 0.0, 6.0, 13.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 1.0, 5.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 14.0, 0.0, 0.0, 0.0, 0.0], [0.0, 1.0, 8.0, 11.0, 13.0, 12.0, 0.0, 0.0, 0.0, 5.0, 9.0, 0.0, 4.0, 16.0, 1.0, 0.0, 0.0, 7.0, 5.0, 0.0, 5.0, 16.0, 5.0, 0.0, 0.0, 1.0, 13.0, 11.0, 13.0, 6.0, 8.0, 0.0, 0.0, 0.0, 3.0, 4.0, 1.0, 4.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 5.0, 0.0, 0.0, 2.0, 8.0, 1.0, 2.0, 14.0, 0.0, 0.0, 0.0, 0.0, 8.0, 13.0, 11.0, 3.0, 0.0, 0.0], [0.0, 0.0, 14.0, 16.0, 16.0, 16.0, 2.0, 0.0, 0.0, 7.0, 16.0, 5.0, 1.0, 0.0, 0.0, 0.0, 0.0, 14.0, 13.0, 7.0, 3.0, 0.0, 0.0, 0.0, 0.0, 4.0, 12.0, 13.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 14.0, 0.0, 0.0, 0.0, 0.0, 5.0, 14.0, 16.0, 3.0, 0.0, 0.0, 0.0, 1.0, 15.0, 11.0, 4.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 2.0, 14.0, 5.0, 0.0, 0.0, 0.0, 0.0, 1.0, 11.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 14.0, 1.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 3.0, 4.0, 6.0, 2.0, 0.0, 0.0, 14.0, 16.0, 14.0, 16.0, 16.0, 10.0, 0.0, 0.0, 9.0, 12.0, 7.0, 8.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 15.0, 6.0, 0.0, 0.0], [0.0, 0.0, 2.0, 15.0, 15.0, 3.0, 0.0, 0.0, 0.0, 3.0, 12.0, 15.0, 10.0, 13.0, 0.0, 0.0, 0.0, 3.0, 16.0, 14.0, 11.0, 14.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 16.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 16.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 15.0, 10.0, 0.0, 0.0, 0.0], [0.0, 0.0, 4.0, 15.0, 15.0, 4.0, 0.0, 0.0, 0.0, 6.0, 16.0, 16.0, 12.0, 14.0, 0.0, 0.0, 0.0, 11.0, 11.0, 6.0, 14.0, 12.0, 0.0, 0.0, 0.0, 3.0, 14.0, 13.0, 14.0, 1.0, 0.0, 0.0, 0.0, 0.0, 12.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 13.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 10.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 15.0, 15.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 5.0, 15.0, 3.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 12.0, 0.0, 2.0, 12.0, 0.0, 0.0, 3.0, 16.0, 1.0, 0.0, 11.0, 10.0, 0.0, 0.0, 9.0, 13.0, 0.0, 3.0, 16.0, 5.0, 0.0, 0.0, 13.0, 15.0, 16.0, 16.0, 12.0, 0.0, 0.0, 0.0, 5.0, 12.0, 14.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 15.0, 2.0, 0.0, 0.0], [0.0, 0.0, 1.0, 11.0, 12.0, 9.0, 5.0, 0.0, 0.0, 0.0, 14.0, 6.0, 1.0, 15.0, 10.0, 0.0, 0.0, 2.0, 12.0, 4.0, 12.0, 7.0, 10.0, 0.0, 0.0, 1.0, 13.0, 12.0, 3.0, 4.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 8.0, 0.0, 0.0, 0.0, 3.0, 4.0, 0.0, 7.0, 6.0, 0.0, 0.0, 0.0, 12.0, 7.0, 3.0, 11.0, 0.0, 0.0, 0.0, 0.0, 3.0, 13.0, 15.0, 3.0, 0.0, 0.0], [0.0, 0.0, 2.0, 15.0, 13.0, 2.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 15.0, 12.0, 0.0, 0.0, 0.0, 0.0, 9.0, 14.0, 1.0, 15.0, 5.0, 0.0, 0.0, 0.0, 14.0, 13.0, 0.0, 11.0, 9.0, 0.0, 0.0, 3.0, 16.0, 11.0, 0.0, 12.0, 9.0, 0.0, 0.0, 2.0, 16.0, 3.0, 2.0, 16.0, 6.0, 0.0, 0.0, 1.0, 13.0, 11.0, 15.0, 14.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 15.0, 5.0, 0.0, 0.0], [0.0, 0.0, 10.0, 9.0, 14.0, 10.0, 0.0, 0.0, 0.0, 2.0, 15.0, 15.0, 4.0, 14.0, 2.0, 0.0, 0.0, 0.0, 13.0, 5.0, 9.0, 12.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 14.0, 2.0, 0.0, 0.0, 0.0, 0.0, 11.0, 12.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 1.0, 12.0, 0.0, 0.0, 0.0, 0.0, 3.0, 12.0, 2.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 7.0, 0.0, 0.0, 0.0], [0.0, 0.0, 4.0, 14.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 12.0, 8.0, 9.0, 12.0, 0.0, 0.0, 0.0, 2.0, 11.0, 0.0, 0.0, 12.0, 3.0, 0.0, 0.0, 4.0, 7.0, 0.0, 0.0, 5.0, 8.0, 0.0, 0.0, 6.0, 4.0, 0.0, 0.0, 4.0, 8.0, 0.0, 0.0, 4.0, 9.0, 0.0, 0.0, 6.0, 8.0, 0.0, 0.0, 0.0, 14.0, 9.0, 6.0, 15.0, 2.0, 0.0, 0.0, 0.0, 4.0, 16.0, 15.0, 5.0, 0.0, 0.0], [0.0, 0.0, 0.0, 3.0, 15.0, 16.0, 1.0, 0.0, 0.0, 0.0, 7.0, 15.0, 16.0, 14.0, 0.0, 0.0, 0.0, 4.0, 16.0, 16.0, 15.0, 13.0, 0.0, 0.0, 0.0, 0.0, 8.0, 2.0, 15.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 3.0, 15.0, 13.0, 1.0, 0.0], [0.0, 1.0, 10.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 14.0, 8.0, 0.0, 0.0, 0.0, 0.0, 10.0, 11.0, 8.0, 12.0, 0.0, 0.0, 0.0, 0.0, 1.0, 1.0, 8.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 15.0, 5.0, 1.0, 2.0, 0.0, 0.0, 0.0, 10.0, 16.0, 14.0, 14.0, 12.0, 0.0, 0.0, 0.0, 14.0, 16.0, 16.0, 13.0, 7.0, 0.0], [0.0, 0.0, 8.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 6.0, 15.0, 1.0, 0.0, 0.0, 0.0, 4.0, 10.0, 0.0, 12.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 13.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 6.0, 0.0, 0.0, 0.0, 12.0, 9.0, 9.0, 16.0, 2.0, 0.0, 0.0, 0.0, 8.0, 16.0, 15.0, 7.0, 0.0, 0.0], [0.0, 0.0, 3.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 3.0, 13.0, 5.0, 0.0, 0.0, 0.0, 8.0, 13.0, 1.0, 16.0, 7.0, 6.0, 0.0, 0.0, 14.0, 13.0, 9.0, 16.0, 16.0, 10.0, 0.0, 0.0, 11.0, 16.0, 16.0, 14.0, 9.0, 3.0, 0.0, 0.0, 1.0, 4.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 6.0, 0.0, 0.0, 0.0], [0.0, 1.0, 12.0, 12.0, 12.0, 15.0, 6.0, 0.0, 0.0, 1.0, 14.0, 5.0, 5.0, 4.0, 1.0, 0.0, 0.0, 0.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 16.0, 15.0, 8.0, 0.0, 0.0, 0.0, 1.0, 4.0, 4.0, 5.0, 12.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 4.0, 0.0, 0.0, 2.0, 7.0, 2.0, 10.0, 12.0, 0.0, 0.0, 0.0, 2.0, 16.0, 15.0, 8.0, 1.0, 0.0, 0.0], [0.0, 0.0, 1.0, 13.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 13.0, 1.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 8.0, 4.0, 2.0, 0.0, 0.0, 0.0, 5.0, 16.0, 14.0, 16.0, 15.0, 3.0, 0.0, 0.0, 3.0, 13.0, 1.0, 0.0, 9.0, 9.0, 0.0, 0.0, 0.0, 11.0, 12.0, 4.0, 11.0, 11.0, 0.0, 0.0, 0.0, 2.0, 13.0, 16.0, 13.0, 1.0, 0.0], [0.0, 0.0, 0.0, 11.0, 16.0, 16.0, 10.0, 0.0, 0.0, 0.0, 10.0, 12.0, 9.0, 15.0, 9.0, 0.0, 0.0, 0.0, 13.0, 8.0, 0.0, 12.0, 5.0, 0.0, 0.0, 0.0, 6.0, 0.0, 4.0, 12.0, 0.0, 0.0, 0.0, 0.0, 2.0, 15.0, 16.0, 16.0, 9.0, 0.0, 0.0, 0.0, 6.0, 13.0, 15.0, 9.0, 1.0, 0.0, 0.0, 0.0, 0.0, 9.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 14.0, 4.0, 0.0, 0.0, 0.0], [0.0, 0.0, 4.0, 12.0, 13.0, 5.0, 0.0, 0.0, 0.0, 3.0, 15.0, 8.0, 10.0, 15.0, 2.0, 0.0, 0.0, 3.0, 14.0, 2.0, 2.0, 15.0, 3.0, 0.0, 0.0, 0.0, 10.0, 16.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 13.0, 15.0, 3.0, 0.0, 0.0, 0.0, 2.0, 11.0, 1.0, 12.0, 5.0, 0.0, 0.0, 0.0, 7.0, 9.0, 1.0, 14.0, 2.0, 0.0, 0.0, 0.0, 4.0, 16.0, 16.0, 7.0, 0.0, 0.0], [0.0, 0.0, 5.0, 12.0, 13.0, 12.0, 0.0, 0.0, 0.0, 7.0, 13.0, 5.0, 8.0, 15.0, 0.0, 0.0, 0.0, 4.0, 14.0, 4.0, 13.0, 16.0, 3.0, 0.0, 0.0, 0.0, 6.0, 12.0, 8.0, 9.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 8.0, 0.0, 0.0, 0.0, 1.0, 3.0, 2.0, 13.0, 6.0, 0.0, 0.0, 0.0, 6.0, 16.0, 16.0, 8.0, 1.0, 0.0], [0.0, 0.0, 3.0, 10.0, 16.0, 4.0, 0.0, 0.0, 0.0, 1.0, 15.0, 16.0, 16.0, 10.0, 0.0, 0.0, 0.0, 6.0, 10.0, 2.0, 3.0, 14.0, 1.0, 0.0, 0.0, 8.0, 6.0, 0.0, 0.0, 10.0, 4.0, 0.0, 0.0, 4.0, 8.0, 0.0, 0.0, 5.0, 8.0, 0.0, 0.0, 0.0, 15.0, 0.0, 0.0, 9.0, 8.0, 0.0, 0.0, 0.0, 12.0, 14.0, 10.0, 16.0, 3.0, 0.0, 0.0, 0.0, 4.0, 14.0, 13.0, 5.0, 0.0, 0.0], [0.0, 0.0, 0.0, 0.0, 9.0, 15.0, 0.0, 0.0, 0.0, 0.0, 1.0, 10.0, 16.0, 16.0, 1.0, 0.0, 0.0, 5.0, 16.0, 15.0, 14.0, 16.0, 0.0, 0.0, 0.0, 1.0, 8.0, 0.0, 10.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 3.0, 0.0], [0.0, 3.0, 16.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 15.0, 6.0, 0.0, 0.0, 0.0, 0.0, 13.0, 10.0, 13.0, 8.0, 0.0, 0.0, 0.0, 0.0, 1.0, 3.0, 11.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 10.0, 5.0, 7.0, 0.0, 0.0, 1.0, 13.0, 16.0, 16.0, 16.0, 16.0, 0.0, 0.0, 2.0, 14.0, 15.0, 11.0, 8.0, 3.0, 0.0], [0.0, 0.0, 12.0, 16.0, 15.0, 1.0, 0.0, 0.0, 0.0, 5.0, 16.0, 10.0, 15.0, 8.0, 0.0, 0.0, 0.0, 1.0, 7.0, 3.0, 14.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 13.0, 16.0, 6.0, 0.0, 0.0, 0.0, 4.0, 0.0, 0.0, 15.0, 11.0, 0.0, 0.0, 2.0, 16.0, 10.0, 11.0, 16.0, 7.0, 0.0, 0.0, 0.0, 10.0, 16.0, 16.0, 10.0, 1.0, 0.0], [0.0, 0.0, 0.0, 10.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 10.0, 1.0, 2.0, 0.0, 0.0, 0.0, 5.0, 15.0, 2.0, 15.0, 9.0, 1.0, 0.0, 0.0, 11.0, 13.0, 6.0, 16.0, 16.0, 9.0, 0.0, 0.0, 13.0, 16.0, 16.0, 16.0, 10.0, 2.0, 0.0, 0.0, 2.0, 7.0, 13.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 11.0, 0.0, 0.0, 0.0], [0.0, 0.0, 11.0, 10.0, 8.0, 12.0, 1.0, 0.0, 0.0, 0.0, 16.0, 13.0, 12.0, 10.0, 0.0, 0.0, 0.0, 5.0, 14.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 16.0, 13.0, 8.0, 0.0, 0.0, 0.0, 0.0, 4.0, 4.0, 8.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 8.0, 0.0, 0.0, 0.0, 9.0, 4.0, 7.0, 16.0, 5.0, 0.0, 0.0, 0.0, 14.0, 16.0, 14.0, 7.0, 0.0, 0.0], [0.0, 0.0, 2.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 14.0, 8.0, 7.0, 2.0, 0.0, 0.0, 0.0, 8.0, 15.0, 12.0, 13.0, 15.0, 2.0, 0.0, 0.0, 2.0, 15.0, 1.0, 0.0, 7.0, 11.0, 0.0, 0.0, 0.0, 13.0, 8.0, 5.0, 13.0, 9.0, 0.0, 0.0, 0.0, 2.0, 13.0, 16.0, 11.0, 1.0, 0.0], [0.0, 0.0, 1.0, 9.0, 16.0, 16.0, 16.0, 1.0, 0.0, 0.0, 8.0, 15.0, 10.0, 14.0, 13.0, 0.0, 0.0, 0.0, 14.0, 6.0, 0.0, 14.0, 6.0, 0.0, 0.0, 0.0, 6.0, 2.0, 6.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 12.0, 16.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 6.0, 0.0, 0.0, 0.0], [0.0, 0.0, 3.0, 12.0, 15.0, 11.0, 2.0, 0.0, 0.0, 0.0, 11.0, 13.0, 7.0, 13.0, 8.0, 0.0, 0.0, 7.0, 15.0, 1.0, 5.0, 15.0, 3.0, 0.0, 0.0, 1.0, 12.0, 16.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 15.0, 15.0, 2.0, 0.0, 0.0, 0.0, 2.0, 13.0, 0.0, 10.0, 5.0, 0.0, 0.0, 0.0, 4.0, 11.0, 4.0, 11.0, 6.0, 0.0, 0.0, 0.0, 2.0, 13.0, 16.0, 12.0, 0.0, 0.0], [0.0, 0.0, 11.0, 16.0, 16.0, 12.0, 0.0, 0.0, 0.0, 3.0, 16.0, 7.0, 14.0, 16.0, 1.0, 0.0, 0.0, 0.0, 15.0, 14.0, 15.0, 16.0, 6.0, 0.0, 0.0, 0.0, 2.0, 10.0, 9.0, 15.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 8.0, 0.0, 0.0, 0.0, 6.0, 11.0, 6.0, 15.0, 5.0, 0.0, 0.0, 0.0, 9.0, 16.0, 16.0, 12.0, 0.0, 0.0], [0.0, 0.0, 2.0, 9.0, 14.0, 12.0, 0.0, 0.0, 0.0, 0.0, 12.0, 16.0, 10.0, 15.0, 1.0, 0.0, 0.0, 4.0, 14.0, 3.0, 2.0, 6.0, 6.0, 0.0, 0.0, 5.0, 7.0, 0.0, 0.0, 3.0, 8.0, 0.0, 0.0, 4.0, 7.0, 0.0, 0.0, 1.0, 8.0, 0.0, 0.0, 3.0, 12.0, 1.0, 0.0, 5.0, 8.0, 0.0, 0.0, 0.0, 10.0, 12.0, 7.0, 14.0, 3.0, 0.0, 0.0, 0.0, 1.0, 12.0, 16.0, 8.0, 0.0, 0.0], [0.0, 0.0, 0.0, 0.0, 11.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 16.0, 2.0, 0.0, 0.0, 3.0, 13.0, 16.0, 16.0, 16.0, 0.0, 0.0, 0.0, 9.0, 16.0, 12.0, 16.0, 14.0, 0.0, 0.0, 0.0, 1.0, 3.0, 0.0, 16.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 7.0, 0.0], [0.0, 4.0, 16.0, 15.0, 2.0, 0.0, 0.0, 0.0, 0.0, 11.0, 15.0, 15.0, 7.0, 0.0, 0.0, 0.0, 0.0, 9.0, 10.0, 6.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 7.0, 2.0, 2.0, 0.0, 0.0, 1.0, 12.0, 16.0, 15.0, 16.0, 15.0, 0.0, 0.0, 4.0, 16.0, 16.0, 16.0, 12.0, 11.0, 0.0], [0.0, 1.0, 12.0, 15.0, 5.0, 0.0, 0.0, 0.0, 0.0, 4.0, 15.0, 8.0, 15.0, 3.0, 0.0, 0.0, 0.0, 0.0, 3.0, 1.0, 14.0, 4.0, 0.0, 0.0, 0.0, 0.0, 4.0, 14.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 1.0, 10.0, 14.0, 15.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 8.0, 0.0, 0.0, 4.0, 8.0, 4.0, 10.0, 16.0, 4.0, 0.0, 0.0, 2.0, 12.0, 16.0, 13.0, 6.0, 0.0, 0.0], [0.0, 0.0, 0.0, 12.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 15.0, 1.0, 1.0, 0.0, 0.0, 0.0, 1.0, 14.0, 8.0, 10.0, 8.0, 0.0, 0.0, 0.0, 6.0, 15.0, 0.0, 13.0, 12.0, 6.0, 0.0, 0.0, 14.0, 15.0, 12.0, 16.0, 16.0, 9.0, 0.0, 0.0, 10.0, 16.0, 15.0, 16.0, 8.0, 1.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 9.0, 0.0, 0.0, 0.0], [0.0, 2.0, 6.0, 10.0, 12.0, 1.0, 0.0, 0.0, 0.0, 14.0, 13.0, 10.0, 5.0, 1.0, 0.0, 0.0, 0.0, 10.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 13.0, 12.0, 12.0, 5.0, 0.0, 0.0, 0.0, 2.0, 8.0, 5.0, 7.0, 14.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 12.0, 0.0, 0.0, 0.0, 2.0, 2.0, 1.0, 10.0, 10.0, 0.0, 0.0, 0.0, 5.0, 16.0, 16.0, 14.0, 1.0, 0.0], [0.0, 0.0, 6.0, 14.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 14.0, 0.0, 4.0, 2.0, 0.0, 0.0, 0.0, 7.0, 16.0, 16.0, 16.0, 16.0, 5.0, 0.0, 0.0, 4.0, 16.0, 6.0, 0.0, 9.0, 11.0, 0.0, 0.0, 0.0, 14.0, 8.0, 5.0, 13.0, 9.0, 0.0, 0.0, 0.0, 5.0, 13.0, 16.0, 12.0, 1.0, 0.0], [0.0, 0.0, 1.0, 14.0, 16.0, 16.0, 15.0, 1.0, 0.0, 0.0, 11.0, 14.0, 8.0, 13.0, 11.0, 0.0, 0.0, 0.0, 15.0, 6.0, 0.0, 14.0, 3.0, 0.0, 0.0, 0.0, 5.0, 1.0, 5.0, 13.0, 1.0, 0.0, 0.0, 0.0, 0.0, 13.0, 16.0, 16.0, 9.0, 0.0, 0.0, 0.0, 2.0, 16.0, 15.0, 9.0, 1.0, 0.0, 0.0, 0.0, 0.0, 11.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 2.0, 0.0, 0.0, 0.0], [0.0, 0.0, 1.0, 14.0, 13.0, 4.0, 0.0, 0.0, 0.0, 3.0, 15.0, 12.0, 11.0, 15.0, 0.0, 0.0, 0.0, 8.0, 11.0, 1.0, 7.0, 13.0, 0.0, 0.0, 0.0, 1.0, 13.0, 14.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 13.0, 14.0, 2.0, 0.0, 0.0, 0.0, 2.0, 12.0, 0.0, 9.0, 8.0, 0.0, 0.0, 0.0, 3.0, 13.0, 4.0, 12.0, 6.0, 0.0, 0.0, 0.0, 0.0, 9.0, 14.0, 13.0, 1.0, 0.0], [0.0, 0.0, 8.0, 13.0, 14.0, 5.0, 0.0, 0.0, 0.0, 5.0, 13.0, 4.0, 11.0, 9.0, 0.0, 0.0, 0.0, 4.0, 13.0, 1.0, 12.0, 14.0, 0.0, 0.0, 0.0, 0.0, 8.0, 14.0, 11.0, 12.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 8.0, 0.0, 0.0, 0.0, 2.0, 2.0, 0.0, 11.0, 7.0, 0.0, 0.0, 0.0, 8.0, 16.0, 16.0, 13.0, 2.0, 0.0], [0.0, 0.0, 2.0, 12.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 14.0, 15.0, 6.0, 0.0, 0.0, 0.0, 6.0, 10.0, 4.0, 2.0, 14.0, 1.0, 0.0, 0.0, 8.0, 8.0, 0.0, 0.0, 8.0, 5.0, 0.0, 0.0, 7.0, 8.0, 0.0, 0.0, 4.0, 8.0, 0.0, 0.0, 2.0, 14.0, 0.0, 0.0, 5.0, 6.0, 0.0, 0.0, 0.0, 9.0, 12.0, 4.0, 14.0, 3.0, 0.0, 0.0, 0.0, 1.0, 13.0, 15.0, 9.0, 0.0, 0.0], [0.0, 1.0, 11.0, 15.0, 13.0, 2.0, 0.0, 0.0, 0.0, 8.0, 13.0, 5.0, 14.0, 9.0, 0.0, 0.0, 0.0, 3.0, 15.0, 1.0, 10.0, 12.0, 0.0, 0.0, 0.0, 0.0, 7.0, 15.0, 14.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 8.0, 0.0, 0.0, 2.0, 8.0, 4.0, 5.0, 16.0, 7.0, 0.0, 0.0, 1.0, 15.0, 16.0, 15.0, 8.0, 1.0, 0.0], [0.0, 0.0, 14.0, 12.0, 12.0, 12.0, 6.0, 0.0, 0.0, 2.0, 15.0, 8.0, 8.0, 8.0, 4.0, 0.0, 0.0, 5.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 12.0, 11.0, 7.0, 0.0, 0.0, 0.0, 1.0, 4.0, 4.0, 9.0, 15.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 8.0, 0.0, 0.0, 1.0, 11.0, 4.0, 5.0, 14.0, 7.0, 0.0, 0.0, 0.0, 12.0, 16.0, 16.0, 8.0, 1.0, 0.0], [0.0, 2.0, 9.0, 11.0, 12.0, 15.0, 6.0, 0.0, 0.0, 6.0, 16.0, 9.0, 8.0, 8.0, 1.0, 0.0, 0.0, 4.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 12.0, 11.0, 5.0, 0.0, 0.0, 0.0, 1.0, 5.0, 4.0, 8.0, 14.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 8.0, 0.0, 0.0, 1.0, 6.0, 4.0, 5.0, 15.0, 3.0, 0.0, 0.0, 3.0, 16.0, 16.0, 16.0, 8.0, 0.0, 0.0], [0.0, 0.0, 0.0, 9.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0, 10.0, 13.0, 4.0, 0.0, 0.0, 0.0, 0.0, 2.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 11.0, 4.0, 4.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 16.0, 16.0, 16.0, 4.0, 0.0, 0.0, 0.0, 16.0, 2.0, 0.0, 10.0, 8.0, 0.0, 0.0, 0.0, 8.0, 12.0, 4.0, 13.0, 7.0, 0.0, 0.0, 0.0, 1.0, 9.0, 16.0, 11.0, 1.0, 0.0], [0.0, 0.0, 8.0, 9.0, 8.0, 12.0, 8.0, 0.0, 0.0, 0.0, 12.0, 14.0, 10.0, 8.0, 5.0, 0.0, 0.0, 1.0, 14.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 12.0, 12.0, 8.0, 0.0, 0.0, 0.0, 1.0, 4.0, 4.0, 7.0, 15.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 7.0, 0.0, 0.0, 1.0, 12.0, 4.0, 9.0, 15.0, 1.0, 0.0, 0.0, 0.0, 9.0, 16.0, 14.0, 3.0, 0.0, 0.0], [0.0, 0.0, 2.0, 15.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 16.0, 6.0, 0.0, 0.0, 0.0, 3.0, 14.0, 3.0, 7.0, 16.0, 3.0, 0.0, 0.0, 7.0, 8.0, 0.0, 0.0, 8.0, 8.0, 0.0, 0.0, 5.0, 8.0, 0.0, 0.0, 4.0, 8.0, 0.0, 0.0, 4.0, 12.0, 0.0, 0.0, 8.0, 8.0, 0.0, 0.0, 0.0, 14.0, 9.0, 8.0, 16.0, 2.0, 0.0, 0.0, 0.0, 3.0, 14.0, 15.0, 6.0, 0.0, 0.0], [0.0, 0.0, 9.0, 12.0, 13.0, 6.0, 0.0, 0.0, 0.0, 0.0, 16.0, 8.0, 8.0, 15.0, 2.0, 0.0, 0.0, 0.0, 16.0, 10.0, 9.0, 16.0, 5.0, 0.0, 0.0, 0.0, 4.0, 12.0, 11.0, 12.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 7.0, 0.0, 0.0, 0.0, 8.0, 4.0, 7.0, 16.0, 2.0, 0.0, 0.0, 0.0, 10.0, 16.0, 16.0, 7.0, 0.0, 0.0], [0.0, 0.0, 1.0, 12.0, 12.0, 4.0, 1.0, 0.0, 0.0, 0.0, 13.0, 13.0, 13.0, 14.0, 8.0, 0.0, 0.0, 6.0, 15.0, 0.0, 0.0, 12.0, 7.0, 0.0, 0.0, 2.0, 16.0, 13.0, 12.0, 13.0, 1.0, 0.0, 0.0, 0.0, 0.0, 14.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 6.0, 10.0, 2.0, 16.0, 0.0, 0.0, 0.0, 0.0, 11.0, 8.0, 5.0, 16.0, 0.0, 0.0, 0.0, 0.0, 3.0, 12.0, 16.0, 7.0, 0.0, 0.0], [0.0, 1.0, 14.0, 16.0, 14.0, 8.0, 0.0, 0.0, 0.0, 5.0, 12.0, 5.0, 14.0, 9.0, 0.0, 0.0, 0.0, 2.0, 15.0, 9.0, 13.0, 12.0, 0.0, 0.0, 0.0, 0.0, 3.0, 8.0, 8.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 6.0, 0.0, 0.0, 0.0, 4.0, 0.0, 0.0, 8.0, 8.0, 0.0, 0.0, 4.0, 14.0, 4.0, 5.0, 14.0, 7.0, 0.0, 0.0, 1.0, 13.0, 16.0, 16.0, 10.0, 1.0, 0.0], [0.0, 0.0, 2.0, 11.0, 13.0, 5.0, 0.0, 0.0, 0.0, 0.0, 16.0, 10.0, 13.0, 16.0, 7.0, 0.0, 0.0, 0.0, 14.0, 10.0, 0.0, 10.0, 11.0, 0.0, 0.0, 0.0, 4.0, 14.0, 16.0, 13.0, 1.0, 0.0, 0.0, 0.0, 0.0, 11.0, 13.0, 12.0, 1.0, 0.0, 0.0, 0.0, 8.0, 10.0, 2.0, 14.0, 3.0, 0.0, 0.0, 0.0, 10.0, 10.0, 3.0, 15.0, 1.0, 0.0, 0.0, 0.0, 2.0, 15.0, 16.0, 6.0, 0.0, 0.0], [0.0, 0.0, 0.0, 5.0, 15.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 10.0, 2.0, 0.0, 0.0, 0.0, 0.0, 12.0, 14.0, 4.0, 15.0, 0.0, 0.0, 0.0, 6.0, 16.0, 4.0, 9.0, 15.0, 8.0, 0.0, 0.0, 14.0, 15.0, 11.0, 15.0, 16.0, 9.0, 0.0, 0.0, 7.0, 15.0, 15.0, 16.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 2.0, 0.0, 0.0], [0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 16.0, 4.0, 0.0, 0.0, 2.0, 11.0, 15.0, 16.0, 16.0, 7.0, 0.0, 0.0, 10.0, 16.0, 13.0, 10.0, 16.0, 4.0, 0.0, 0.0, 1.0, 3.0, 0.0, 4.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 6.0, 0.0], [0.0, 0.0, 3.0, 15.0, 16.0, 16.0, 5.0, 0.0, 0.0, 0.0, 10.0, 12.0, 10.0, 16.0, 6.0, 0.0, 0.0, 2.0, 15.0, 2.0, 3.0, 16.0, 1.0, 0.0, 0.0, 0.0, 2.0, 3.0, 10.0, 13.0, 2.0, 0.0, 0.0, 0.0, 3.0, 16.0, 16.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 12.0, 13.0, 7.0, 1.0, 0.0, 0.0, 0.0, 1.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 14.0, 2.0, 0.0, 0.0, 0.0], [0.0, 0.0, 1.0, 13.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 8.0, 14.0, 13.0, 14.0, 0.0, 0.0, 0.0, 1.0, 15.0, 5.0, 5.0, 15.0, 0.0, 0.0, 0.0, 7.0, 12.0, 0.0, 9.0, 11.0, 0.0, 0.0, 0.0, 1.0, 2.0, 11.0, 15.0, 16.0, 7.0, 0.0, 0.0, 0.0, 4.0, 15.0, 16.0, 9.0, 1.0, 0.0, 0.0, 0.0, 0.0, 10.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 15.0, 7.0, 0.0, 0.0, 0.0], [0.0, 0.0, 8.0, 13.0, 12.0, 3.0, 0.0, 0.0, 0.0, 6.0, 15.0, 7.0, 9.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 15.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 15.0, 7.0, 0.0, 0.0, 0.0, 11.0, 2.0, 1.0, 15.0, 7.0, 0.0, 0.0, 0.0, 8.0, 16.0, 16.0, 12.0, 0.0, 0.0], [0.0, 0.0, 14.0, 12.0, 12.0, 13.0, 0.0, 0.0, 0.0, 1.0, 16.0, 8.0, 8.0, 6.0, 0.0, 0.0, 0.0, 4.0, 15.0, 8.0, 4.0, 0.0, 0.0, 0.0, 0.0, 2.0, 12.0, 12.0, 15.0, 13.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 13.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 7.0, 0.0, 0.0, 5.0, 14.0, 4.0, 7.0, 15.0, 2.0, 0.0, 0.0, 1.0, 10.0, 16.0, 15.0, 5.0, 0.0, 0.0], [0.0, 0.0, 0.0, 0.0, 3.0, 14.0, 3.0, 0.0, 0.0, 0.0, 0.0, 1.0, 14.0, 16.0, 5.0, 0.0, 0.0, 1.0, 9.0, 15.0, 16.0, 16.0, 4.0, 0.0, 0.0, 4.0, 12.0, 7.0, 3.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 4.0, 0.0], [0.0, 0.0, 3.0, 12.0, 8.0, 1.0, 0.0, 0.0, 0.0, 0.0, 14.0, 16.0, 16.0, 15.0, 1.0, 0.0, 0.0, 3.0, 15.0, 2.0, 1.0, 12.0, 4.0, 0.0, 0.0, 6.0, 9.0, 0.0, 0.0, 7.0, 8.0, 0.0, 0.0, 7.0, 8.0, 0.0, 0.0, 5.0, 8.0, 0.0, 0.0, 4.0, 12.0, 0.0, 0.0, 9.0, 6.0, 0.0, 0.0, 0.0, 15.0, 11.0, 9.0, 16.0, 2.0, 0.0, 0.0, 0.0, 3.0, 11.0, 15.0, 7.0, 0.0, 0.0], [0.0, 0.0, 3.0, 13.0, 9.0, 1.0, 0.0, 0.0, 0.0, 0.0, 13.0, 14.0, 15.0, 13.0, 0.0, 0.0, 0.0, 2.0, 14.0, 1.0, 2.0, 13.0, 4.0, 0.0, 0.0, 4.0, 8.0, 0.0, 0.0, 5.0, 8.0, 0.0, 0.0, 4.0, 8.0, 0.0, 0.0, 4.0, 8.0, 0.0, 0.0, 4.0, 10.0, 0.0, 0.0, 5.0, 8.0, 0.0, 0.0, 0.0, 14.0, 11.0, 10.0, 14.0, 5.0, 0.0, 0.0, 0.0, 4.0, 12.0, 13.0, 9.0, 0.0, 0.0], [0.0, 3.0, 15.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 11.0, 15.0, 12.0, 15.0, 0.0, 0.0, 0.0, 0.0, 2.0, 2.0, 2.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 15.0, 4.0, 1.0, 0.0, 0.0, 1.0, 10.0, 16.0, 16.0, 16.0, 11.0, 0.0, 0.0, 4.0, 16.0, 14.0, 12.0, 8.0, 3.0, 0.0], [0.0, 1.0, 15.0, 15.0, 2.0, 0.0, 0.0, 0.0, 0.0, 7.0, 14.0, 13.0, 9.0, 0.0, 0.0, 0.0, 0.0, 9.0, 9.0, 6.0, 13.0, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 8.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 16.0, 16.0, 7.0, 0.0, 0.0, 0.0, 16.0, 15.0, 12.0, 12.0, 3.0, 0.0], [0.0, 0.0, 0.0, 8.0, 16.0, 16.0, 16.0, 6.0, 0.0, 0.0, 6.0, 14.0, 5.0, 8.0, 16.0, 2.0, 0.0, 0.0, 7.0, 4.0, 0.0, 6.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 6.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 12.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 9.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 4.0, 14.0, 14.0, 1.0, 0.0, 0.0, 0.0, 3.0, 14.0, 12.0, 10.0, 4.0, 0.0, 0.0, 3.0, 13.0, 4.0, 0.0, 8.0, 6.0, 0.0, 0.0, 3.0, 15.0, 9.0, 2.0, 15.0, 1.0, 0.0, 0.0, 0.0, 2.0, 10.0, 16.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 14.0, 4.0, 0.0, 0.0, 0.0, 0.0, 2.0, 12.0, 9.0, 3.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 14.0, 0.0, 0.0], [0.0, 5.0, 16.0, 15.0, 3.0, 0.0, 0.0, 0.0, 0.0, 11.0, 14.0, 11.0, 11.0, 0.0, 0.0, 0.0, 0.0, 8.0, 11.0, 4.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 9.0, 5.0, 1.0, 0.0, 0.0, 1.0, 11.0, 16.0, 16.0, 16.0, 10.0, 0.0, 0.0, 5.0, 16.0, 14.0, 8.0, 6.0, 1.0, 0.0], [0.0, 0.0, 11.0, 16.0, 10.0, 1.0, 0.0, 0.0, 0.0, 1.0, 15.0, 14.0, 15.0, 11.0, 0.0, 0.0, 0.0, 7.0, 14.0, 1.0, 4.0, 16.0, 3.0, 0.0, 0.0, 7.0, 13.0, 0.0, 0.0, 10.0, 11.0, 0.0, 0.0, 9.0, 12.0, 0.0, 0.0, 8.0, 12.0, 0.0, 0.0, 5.0, 14.0, 0.0, 0.0, 7.0, 13.0, 0.0, 0.0, 1.0, 16.0, 10.0, 5.0, 15.0, 8.0, 0.0, 0.0, 0.0, 7.0, 16.0, 16.0, 15.0, 0.0, 0.0], [0.0, 0.0, 0.0, 1.0, 8.0, 16.0, 2.0, 0.0, 0.0, 0.0, 5.0, 13.0, 16.0, 16.0, 0.0, 0.0, 0.0, 11.0, 16.0, 15.0, 12.0, 16.0, 0.0, 0.0, 0.0, 3.0, 8.0, 1.0, 8.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 8.0, 0.0], [0.0, 1.0, 15.0, 15.0, 3.0, 0.0, 0.0, 0.0, 0.0, 8.0, 15.0, 12.0, 14.0, 0.0, 0.0, 0.0, 0.0, 8.0, 8.0, 6.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 10.0, 10.0, 5.0, 0.0, 0.0, 1.0, 13.0, 16.0, 16.0, 16.0, 11.0, 0.0, 0.0, 3.0, 16.0, 12.0, 8.0, 5.0, 1.0, 0.0], [0.0, 0.0, 0.0, 13.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 12.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 14.0, 0.0, 4.0, 5.0, 0.0, 0.0, 0.0, 7.0, 16.0, 4.0, 7.0, 14.0, 7.0, 0.0, 0.0, 3.0, 14.0, 0.0, 0.0, 4.0, 12.0, 0.0, 0.0, 0.0, 10.0, 10.0, 4.0, 10.0, 12.0, 0.0, 0.0, 0.0, 1.0, 9.0, 16.0, 14.0, 2.0, 0.0], [0.0, 2.0, 10.0, 16.0, 16.0, 2.0, 0.0, 0.0, 0.0, 10.0, 15.0, 9.0, 16.0, 4.0, 0.0, 0.0, 0.0, 5.0, 3.0, 6.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 2.0, 15.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 1.0, 10.0, 14.0, 16.0, 3.0, 0.0, 0.0, 0.0, 5.0, 1.0, 0.0, 13.0, 10.0, 0.0, 0.0, 0.0, 16.0, 13.0, 10.0, 15.0, 11.0, 0.0, 0.0, 0.0, 11.0, 16.0, 16.0, 13.0, 3.0, 0.0], [0.0, 0.0, 8.0, 13.0, 11.0, 1.0, 0.0, 0.0, 0.0, 4.0, 15.0, 5.0, 12.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 13.0, 15.0, 3.0, 0.0, 0.0, 0.0, 1.0, 0.0, 0.0, 7.0, 12.0, 0.0, 0.0, 1.0, 15.0, 8.0, 7.0, 12.0, 12.0, 0.0, 0.0, 0.0, 6.0, 14.0, 16.0, 15.0, 5.0, 0.0], [0.0, 0.0, 3.0, 13.0, 16.0, 16.0, 13.0, 0.0, 0.0, 0.0, 11.0, 14.0, 8.0, 15.0, 9.0, 0.0, 0.0, 0.0, 3.0, 5.0, 2.0, 14.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 11.0, 1.0, 0.0, 0.0, 0.0, 2.0, 15.0, 15.0, 16.0, 9.0, 0.0, 0.0, 0.0, 2.0, 15.0, 14.0, 8.0, 2.0, 0.0, 0.0, 0.0, 0.0, 11.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 15.0, 4.0, 0.0, 0.0, 0.0], [0.0, 1.0, 11.0, 16.0, 16.0, 4.0, 0.0, 0.0, 0.0, 7.0, 16.0, 8.0, 14.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 2.0, 0.0, 0.0, 1.0, 5.0, 0.0, 0.0, 14.0, 9.0, 0.0, 0.0, 4.0, 16.0, 10.0, 11.0, 16.0, 6.0, 0.0, 0.0, 1.0, 13.0, 16.0, 16.0, 10.0, 0.0, 0.0], [0.0, 1.0, 12.0, 16.0, 16.0, 9.0, 0.0, 0.0, 0.0, 2.0, 14.0, 5.0, 9.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 12.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 8.0, 15.0, 5.0, 0.0, 0.0, 0.0, 2.0, 0.0, 0.0, 11.0, 9.0, 0.0, 0.0, 4.0, 14.0, 4.0, 4.0, 14.0, 6.0, 0.0, 0.0, 0.0, 15.0, 16.0, 16.0, 11.0, 1.0, 0.0], [0.0, 0.0, 0.0, 10.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 15.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 6.0, 5.0, 1.0, 0.0, 0.0, 0.0, 7.0, 15.0, 2.0, 16.0, 3.0, 5.0, 0.0, 0.0, 11.0, 11.0, 6.0, 16.0, 15.0, 10.0, 0.0, 0.0, 12.0, 16.0, 16.0, 16.0, 8.0, 1.0, 0.0, 0.0, 4.0, 8.0, 13.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 9.0, 0.0, 0.0, 0.0], [0.0, 0.0, 2.0, 12.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 16.0, 16.0, 10.0, 1.0, 0.0, 0.0, 2.0, 15.0, 6.0, 1.0, 10.0, 8.0, 0.0, 0.0, 0.0, 10.0, 10.0, 0.0, 9.0, 9.0, 0.0, 0.0, 0.0, 2.0, 12.0, 16.0, 15.0, 1.0, 0.0], [0.0, 0.0, 4.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 15.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 14.0, 9.0, 8.0, 6.0, 1.0, 0.0, 0.0, 7.0, 14.0, 7.0, 5.0, 12.0, 8.0, 0.0, 0.0, 2.0, 16.0, 4.0, 1.0, 12.0, 6.0, 0.0, 0.0, 0.0, 5.0, 14.0, 16.0, 11.0, 0.0, 0.0], [0.0, 0.0, 2.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 15.0, 5.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 7.0, 5.0, 1.0, 0.0, 0.0, 0.0, 7.0, 16.0, 16.0, 16.0, 15.0, 3.0, 0.0, 0.0, 5.0, 16.0, 12.0, 4.0, 10.0, 14.0, 0.0, 0.0, 0.0, 14.0, 13.0, 5.0, 10.0, 15.0, 0.0, 0.0, 0.0, 3.0, 13.0, 16.0, 16.0, 7.0, 0.0], [0.0, 0.0, 0.0, 6.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 15.0, 4.0, 0.0, 0.0, 0.0, 0.0, 1.0, 13.0, 9.0, 4.0, 7.0, 0.0, 0.0, 0.0, 7.0, 13.0, 1.0, 13.0, 10.0, 6.0, 0.0, 0.0, 14.0, 14.0, 8.0, 16.0, 16.0, 10.0, 0.0, 0.0, 7.0, 15.0, 16.0, 16.0, 7.0, 1.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 13.0, 0.0, 0.0, 0.0], [0.0, 1.0, 10.0, 13.0, 9.0, 2.0, 0.0, 0.0, 0.0, 2.0, 12.0, 4.0, 12.0, 10.0, 0.0, 0.0, 0.0, 0.0, 14.0, 5.0, 11.0, 11.0, 0.0, 0.0, 0.0, 0.0, 2.0, 8.0, 8.0, 15.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 12.0, 0.0, 0.0, 0.0, 4.0, 1.0, 0.0, 8.0, 11.0, 0.0, 0.0, 0.0, 11.0, 16.0, 16.0, 14.0, 3.0, 0.0], [0.0, 0.0, 0.0, 1.0, 9.0, 16.0, 7.0, 0.0, 0.0, 0.0, 4.0, 13.0, 16.0, 16.0, 2.0, 0.0, 0.0, 8.0, 16.0, 15.0, 13.0, 16.0, 3.0, 0.0, 0.0, 3.0, 7.0, 0.0, 8.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 16.0, 7.0, 0.0], [0.0, 0.0, 7.0, 8.0, 6.0, 8.0, 4.0, 0.0, 0.0, 0.0, 12.0, 13.0, 12.0, 12.0, 5.0, 0.0, 0.0, 0.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 15.0, 12.0, 9.0, 2.0, 0.0, 0.0, 0.0, 3.0, 8.0, 7.0, 8.0, 15.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 8.0, 0.0, 0.0, 0.0, 6.0, 0.0, 1.0, 13.0, 4.0, 0.0, 0.0, 0.0, 7.0, 15.0, 15.0, 5.0, 0.0, 0.0], [0.0, 0.0, 7.0, 16.0, 15.0, 1.0, 0.0, 0.0, 0.0, 5.0, 16.0, 13.0, 16.0, 8.0, 0.0, 0.0, 0.0, 9.0, 11.0, 0.0, 4.0, 16.0, 4.0, 0.0, 0.0, 12.0, 8.0, 0.0, 0.0, 11.0, 11.0, 0.0, 0.0, 11.0, 8.0, 0.0, 0.0, 8.0, 12.0, 0.0, 0.0, 8.0, 13.0, 0.0, 0.0, 12.0, 10.0, 0.0, 0.0, 2.0, 16.0, 9.0, 12.0, 15.0, 3.0, 0.0, 0.0, 0.0, 8.0, 16.0, 13.0, 5.0, 0.0, 0.0], [0.0, 4.0, 15.0, 14.0, 11.0, 2.0, 0.0, 0.0, 0.0, 7.0, 10.0, 1.0, 11.0, 11.0, 0.0, 0.0, 0.0, 1.0, 13.0, 4.0, 13.0, 16.0, 2.0, 0.0, 0.0, 0.0, 3.0, 11.0, 7.0, 9.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 8.0, 0.0, 0.0, 3.0, 12.0, 0.0, 3.0, 13.0, 5.0, 0.0, 0.0, 2.0, 13.0, 16.0, 16.0, 8.0, 0.0, 0.0], [0.0, 0.0, 11.0, 12.0, 13.0, 14.0, 4.0, 0.0, 0.0, 0.0, 13.0, 8.0, 4.0, 4.0, 2.0, 0.0, 0.0, 0.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 12.0, 6.0, 3.0, 0.0, 0.0, 0.0, 0.0, 5.0, 12.0, 12.0, 13.0, 11.0, 0.0, 0.0, 0.0, 0.0, 2.0, 0.0, 0.0, 13.0, 0.0, 0.0, 0.0, 4.0, 11.0, 0.0, 3.0, 15.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 16.0, 6.0, 0.0, 0.0], [0.0, 2.0, 15.0, 13.0, 1.0, 0.0, 0.0, 0.0, 0.0, 13.0, 12.0, 14.0, 7.0, 0.0, 0.0, 0.0, 0.0, 8.0, 6.0, 6.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 13.0, 14.0, 12.0, 0.0, 0.0, 3.0, 16.0, 14.0, 8.0, 8.0, 7.0, 0.0], [0.0, 0.0, 2.0, 9.0, 13.0, 12.0, 2.0, 0.0, 0.0, 1.0, 14.0, 13.0, 7.0, 10.0, 6.0, 0.0, 0.0, 0.0, 13.0, 8.0, 1.0, 7.0, 7.0, 0.0, 0.0, 0.0, 3.0, 13.0, 14.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0, 9.0, 5.0, 8.0, 5.0, 0.0, 0.0, 0.0, 0.0, 13.0, 4.0, 13.0, 2.0, 0.0, 0.0, 0.0, 0.0, 13.0, 15.0, 6.0, 0.0, 0.0], [0.0, 4.0, 16.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 11.0, 14.0, 11.0, 11.0, 0.0, 0.0, 0.0, 0.0, 11.0, 7.0, 2.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 8.0, 5.0, 3.0, 0.0, 0.0, 0.0, 12.0, 16.0, 16.0, 16.0, 16.0, 0.0, 0.0, 3.0, 16.0, 15.0, 8.0, 7.0, 4.0, 0.0], [0.0, 0.0, 10.0, 13.0, 5.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 16.0, 16.0, 10.0, 0.0, 0.0, 0.0, 8.0, 16.0, 1.0, 6.0, 16.0, 5.0, 0.0, 0.0, 8.0, 11.0, 0.0, 0.0, 9.0, 12.0, 0.0, 0.0, 10.0, 8.0, 0.0, 0.0, 8.0, 12.0, 0.0, 0.0, 8.0, 11.0, 0.0, 0.0, 8.0, 11.0, 0.0, 0.0, 3.0, 16.0, 10.0, 8.0, 15.0, 9.0, 0.0, 0.0, 0.0, 9.0, 16.0, 16.0, 10.0, 1.0, 0.0], [0.0, 0.0, 2.0, 11.0, 10.0, 1.0, 0.0, 0.0, 0.0, 0.0, 10.0, 13.0, 14.0, 13.0, 0.0, 0.0, 0.0, 0.0, 13.0, 0.0, 0.0, 14.0, 5.0, 0.0, 0.0, 3.0, 9.0, 0.0, 0.0, 9.0, 6.0, 0.0, 0.0, 5.0, 9.0, 0.0, 0.0, 5.0, 8.0, 0.0, 0.0, 6.0, 12.0, 0.0, 0.0, 8.0, 4.0, 0.0, 0.0, 0.0, 14.0, 11.0, 5.0, 14.0, 1.0, 0.0, 0.0, 0.0, 3.0, 13.0, 14.0, 5.0, 0.0, 0.0], [0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 7.0, 0.0, 0.0, 1.0, 5.0, 11.0, 16.0, 16.0, 8.0, 0.0, 0.0, 11.0, 16.0, 16.0, 13.0, 16.0, 8.0, 0.0, 0.0, 3.0, 7.0, 1.0, 4.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 8.0, 0.0], [0.0, 0.0, 2.0, 13.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 12.0, 12.0, 7.0, 16.0, 3.0, 0.0, 0.0, 1.0, 14.0, 3.0, 0.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 4.0, 10.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 13.0, 16.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 5.0, 13.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 4.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 14.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 13.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 7.0, 4.0, 2.0, 0.0, 0.0, 0.0, 8.0, 16.0, 11.0, 9.0, 15.0, 5.0, 0.0, 0.0, 5.0, 14.0, 1.0, 0.0, 10.0, 9.0, 0.0, 0.0, 0.0, 11.0, 12.0, 5.0, 13.0, 5.0, 0.0, 0.0, 0.0, 1.0, 13.0, 16.0, 9.0, 0.0, 0.0], [0.0, 1.0, 9.0, 15.0, 13.0, 4.0, 0.0, 0.0, 0.0, 5.0, 12.0, 4.0, 10.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 15.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 13.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 9.0, 14.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 8.0, 0.0, 0.0, 0.0, 10.0, 6.0, 4.0, 11.0, 7.0, 0.0, 0.0, 0.0, 8.0, 15.0, 16.0, 9.0, 1.0, 0.0], [0.0, 5.0, 16.0, 13.0, 1.0, 0.0, 0.0, 0.0, 0.0, 9.0, 14.0, 14.0, 4.0, 0.0, 0.0, 0.0, 0.0, 9.0, 7.0, 12.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 15.0, 16.0, 16.0, 16.0, 11.0, 0.0, 0.0, 5.0, 16.0, 14.0, 10.0, 8.0, 6.0, 0.0], [0.0, 0.0, 0.0, 3.0, 12.0, 12.0, 2.0, 0.0, 0.0, 0.0, 7.0, 15.0, 16.0, 16.0, 0.0, 0.0, 0.0, 4.0, 15.0, 9.0, 14.0, 16.0, 3.0, 0.0, 0.0, 2.0, 0.0, 0.0, 14.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 14.0, 1.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 13.0, 2.0, 0.0], [0.0, 0.0, 2.0, 13.0, 16.0, 14.0, 1.0, 0.0, 0.0, 0.0, 11.0, 12.0, 7.0, 16.0, 3.0, 0.0, 0.0, 0.0, 9.0, 3.0, 2.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 11.0, 0.0, 0.0, 0.0, 0.0, 2.0, 11.0, 15.0, 13.0, 3.0, 0.0, 0.0, 0.0, 4.0, 15.0, 16.0, 13.0, 3.0, 0.0, 0.0, 0.0, 0.0, 14.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 15.0, 4.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 7.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 10.0, 2.0, 6.0, 0.0, 0.0, 0.0, 3.0, 16.0, 3.0, 9.0, 13.0, 2.0, 0.0, 0.0, 11.0, 12.0, 6.0, 14.0, 16.0, 10.0, 0.0, 0.0, 11.0, 16.0, 16.0, 16.0, 10.0, 3.0, 0.0, 0.0, 2.0, 8.0, 10.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 13.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 13.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 10.0, 7.0, 1.0, 0.0, 0.0, 0.0, 6.0, 16.0, 12.0, 13.0, 16.0, 6.0, 0.0, 0.0, 0.0, 16.0, 4.0, 0.0, 6.0, 12.0, 0.0, 0.0, 0.0, 12.0, 10.0, 2.0, 11.0, 9.0, 0.0, 0.0, 0.0, 1.0, 13.0, 16.0, 15.0, 3.0, 0.0], [0.0, 0.0, 13.0, 16.0, 16.0, 5.0, 0.0, 0.0, 0.0, 5.0, 15.0, 6.0, 11.0, 13.0, 0.0, 0.0, 0.0, 0.0, 2.0, 2.0, 13.0, 8.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 15.0, 2.0, 0.0, 0.0, 0.0, 0.0, 3.0, 11.0, 15.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 15.0, 11.0, 0.0, 0.0, 0.0, 3.0, 4.0, 9.0, 16.0, 6.0, 0.0, 0.0, 0.0, 15.0, 16.0, 16.0, 10.0, 0.0, 0.0], [0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 5.0, 15.0, 16.0, 2.0, 0.0, 0.0, 3.0, 12.0, 16.0, 16.0, 14.0, 0.0, 0.0, 0.0, 10.0, 16.0, 15.0, 16.0, 15.0, 0.0, 0.0, 0.0, 1.0, 4.0, 0.0, 16.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 16.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 16.0, 6.0, 0.0], [0.0, 0.0, 11.0, 16.0, 12.0, 2.0, 0.0, 0.0, 0.0, 7.0, 16.0, 6.0, 10.0, 13.0, 0.0, 0.0, 0.0, 0.0, 2.0, 0.0, 3.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 12.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 12.0, 0.0, 0.0, 0.0, 0.0, 3.0, 0.0, 3.0, 15.0, 7.0, 0.0, 0.0, 3.0, 16.0, 7.0, 6.0, 14.0, 8.0, 0.0, 0.0, 1.0, 9.0, 15.0, 16.0, 12.0, 1.0, 0.0], [0.0, 0.0, 5.0, 13.0, 14.0, 5.0, 0.0, 0.0, 0.0, 2.0, 15.0, 6.0, 11.0, 15.0, 1.0, 0.0, 0.0, 1.0, 16.0, 5.0, 8.0, 16.0, 4.0, 0.0, 0.0, 0.0, 4.0, 12.0, 9.0, 13.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 7.0, 0.0, 0.0, 0.0, 7.0, 7.0, 5.0, 15.0, 2.0, 0.0, 0.0, 0.0, 5.0, 15.0, 16.0, 7.0, 0.0, 0.0], [0.0, 0.0, 0.0, 0.0, 5.0, 15.0, 3.0, 0.0, 0.0, 0.0, 0.0, 3.0, 15.0, 16.0, 4.0, 0.0, 0.0, 3.0, 13.0, 16.0, 14.0, 16.0, 1.0, 0.0, 0.0, 2.0, 7.0, 4.0, 8.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 15.0, 2.0, 0.0], [0.0, 0.0, 2.0, 13.0, 16.0, 13.0, 4.0, 0.0, 0.0, 0.0, 9.0, 11.0, 9.0, 16.0, 7.0, 0.0, 0.0, 2.0, 15.0, 2.0, 2.0, 15.0, 2.0, 0.0, 0.0, 3.0, 3.0, 0.0, 8.0, 13.0, 2.0, 0.0, 0.0, 0.0, 1.0, 13.0, 16.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 11.0, 13.0, 5.0, 1.0, 0.0, 0.0, 0.0, 0.0, 11.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 15.0, 2.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 12.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 15.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 7.0, 1.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 14.0, 16.0, 13.0, 1.0, 0.0, 0.0, 1.0, 16.0, 0.0, 1.0, 10.0, 11.0, 0.0, 0.0, 0.0, 14.0, 9.0, 1.0, 8.0, 12.0, 0.0, 0.0, 0.0, 2.0, 10.0, 16.0, 16.0, 5.0, 0.0], [0.0, 0.0, 3.0, 12.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 12.0, 9.0, 13.0, 16.0, 9.0, 0.0, 0.0, 3.0, 16.0, 5.0, 0.0, 8.0, 12.0, 0.0, 0.0, 0.0, 9.0, 16.0, 10.0, 13.0, 2.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 9.0, 16.0, 0.0, 0.0, 0.0, 0.0, 1.0, 15.0, 2.0, 12.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 16.0, 6.0, 0.0, 0.0], [0.0, 0.0, 0.0, 10.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 2.0, 3.0, 0.0, 0.0, 0.0, 0.0, 13.0, 8.0, 7.0, 14.0, 0.0, 0.0, 0.0, 7.0, 15.0, 0.0, 13.0, 14.0, 5.0, 0.0, 0.0, 14.0, 15.0, 14.0, 16.0, 16.0, 9.0, 0.0, 0.0, 13.0, 16.0, 15.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 1.0, 9.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 10.0, 0.0, 0.0, 0.0], [0.0, 0.0, 5.0, 12.0, 13.0, 3.0, 0.0, 0.0, 0.0, 4.0, 16.0, 9.0, 8.0, 12.0, 0.0, 0.0, 0.0, 2.0, 3.0, 0.0, 5.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 11.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 14.0, 15.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 11.0, 0.0, 0.0, 0.0, 10.0, 6.0, 4.0, 9.0, 11.0, 0.0, 0.0, 0.0, 6.0, 16.0, 16.0, 14.0, 2.0, 0.0], [0.0, 0.0, 0.0, 0.0, 5.0, 15.0, 6.0, 0.0, 0.0, 0.0, 0.0, 4.0, 15.0, 16.0, 4.0, 0.0, 0.0, 3.0, 11.0, 16.0, 10.0, 16.0, 4.0, 0.0, 0.0, 4.0, 11.0, 3.0, 0.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 15.0, 4.0, 0.0], [0.0, 0.0, 0.0, 14.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 9.0, 9.0, 7.0, 0.0, 0.0, 0.0, 6.0, 15.0, 1.0, 14.0, 11.0, 6.0, 0.0, 0.0, 13.0, 14.0, 8.0, 16.0, 16.0, 7.0, 0.0, 0.0, 8.0, 16.0, 16.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 1.0, 11.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 14.0, 0.0, 0.0, 0.0], [0.0, 0.0, 4.0, 12.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 14.0, 15.0, 7.0, 0.0, 0.0, 0.0, 2.0, 14.0, 1.0, 2.0, 16.0, 0.0, 0.0, 0.0, 4.0, 8.0, 0.0, 0.0, 10.0, 4.0, 0.0, 0.0, 7.0, 8.0, 0.0, 0.0, 6.0, 8.0, 0.0, 0.0, 4.0, 11.0, 0.0, 0.0, 5.0, 8.0, 0.0, 0.0, 0.0, 14.0, 11.0, 3.0, 13.0, 5.0, 0.0, 0.0, 0.0, 2.0, 11.0, 16.0, 11.0, 0.0, 0.0], [0.0, 0.0, 9.0, 12.0, 12.0, 13.0, 7.0, 0.0, 0.0, 0.0, 15.0, 5.0, 5.0, 4.0, 2.0, 0.0, 0.0, 4.0, 15.0, 10.0, 4.0, 0.0, 0.0, 0.0, 0.0, 2.0, 11.0, 11.0, 15.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 7.0, 0.0, 0.0, 5.0, 11.0, 4.0, 5.0, 14.0, 1.0, 0.0, 0.0, 0.0, 9.0, 16.0, 13.0, 3.0, 0.0, 0.0], [0.0, 0.0, 8.0, 15.0, 12.0, 4.0, 0.0, 0.0, 0.0, 5.0, 14.0, 4.0, 11.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 14.0, 3.0, 0.0, 0.0, 0.0, 0.0, 2.0, 15.0, 14.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 13.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 5.0, 0.0, 0.0, 0.0, 12.0, 2.0, 3.0, 12.0, 7.0, 0.0, 0.0, 0.0, 13.0, 16.0, 15.0, 8.0, 0.0, 0.0], [0.0, 0.0, 0.0, 10.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 14.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 8.0, 2.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 16.0, 16.0, 15.0, 3.0, 0.0, 0.0, 0.0, 16.0, 2.0, 0.0, 8.0, 12.0, 0.0, 0.0, 0.0, 11.0, 12.0, 5.0, 11.0, 12.0, 0.0, 0.0, 0.0, 1.0, 8.0, 16.0, 15.0, 2.0, 0.0], [0.0, 2.0, 11.0, 13.0, 11.0, 2.0, 0.0, 0.0, 0.0, 7.0, 12.0, 4.0, 13.0, 8.0, 0.0, 0.0, 0.0, 6.0, 13.0, 5.0, 14.0, 13.0, 0.0, 0.0, 0.0, 0.0, 3.0, 11.0, 9.0, 11.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 11.0, 0.0, 0.0, 0.0, 2.0, 0.0, 1.0, 9.0, 10.0, 0.0, 0.0, 1.0, 15.0, 16.0, 16.0, 14.0, 2.0, 0.0], [0.0, 0.0, 0.0, 7.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 15.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 5.0, 4.0, 1.0, 0.0, 0.0, 0.0, 5.0, 16.0, 16.0, 16.0, 12.0, 3.0, 0.0, 0.0, 1.0, 15.0, 4.0, 1.0, 8.0, 12.0, 0.0, 0.0, 0.0, 8.0, 14.0, 5.0, 5.0, 15.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 16.0, 11.0, 0.0], [0.0, 0.0, 0.0, 1.0, 10.0, 16.0, 8.0, 0.0, 0.0, 1.0, 8.0, 15.0, 16.0, 16.0, 9.0, 0.0, 0.0, 10.0, 16.0, 13.0, 11.0, 16.0, 8.0, 0.0, 0.0, 1.0, 4.0, 0.0, 10.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 7.0, 0.0], [0.0, 0.0, 3.0, 13.0, 16.0, 15.0, 6.0, 0.0, 0.0, 0.0, 13.0, 13.0, 9.0, 16.0, 10.0, 0.0, 0.0, 0.0, 16.0, 9.0, 0.0, 14.0, 6.0, 0.0, 0.0, 0.0, 14.0, 2.0, 6.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 15.0, 15.0, 6.0, 0.0, 0.0, 0.0, 0.0, 16.0, 15.0, 10.0, 2.0, 0.0, 0.0, 0.0, 0.0, 13.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 7.0, 0.0, 0.0, 0.0], [0.0, 0.0, 9.0, 9.0, 12.0, 12.0, 0.0, 0.0, 0.0, 0.0, 14.0, 10.0, 8.0, 3.0, 0.0, 0.0, 0.0, 0.0, 13.0, 6.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 16.0, 15.0, 12.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 12.0, 0.0, 0.0, 0.0, 5.0, 1.0, 2.0, 11.0, 8.0, 0.0, 0.0, 0.0, 10.0, 16.0, 16.0, 11.0, 1.0, 0.0], [0.0, 0.0, 0.0, 9.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 8.0, 2.0, 7.0, 0.0, 0.0, 0.0, 4.0, 16.0, 3.0, 13.0, 13.0, 3.0, 0.0, 0.0, 14.0, 13.0, 8.0, 16.0, 16.0, 10.0, 0.0, 0.0, 14.0, 16.0, 16.0, 16.0, 9.0, 1.0, 0.0, 0.0, 2.0, 4.0, 9.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 15.0, 2.0, 0.0, 0.0], [0.0, 0.0, 2.0, 15.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 15.0, 0.0, 1.0, 0.0, 0.0, 0.0, 0.0, 14.0, 9.0, 9.0, 9.0, 0.0, 0.0, 0.0, 8.0, 16.0, 4.0, 16.0, 13.0, 12.0, 0.0, 0.0, 13.0, 16.0, 16.0, 16.0, 15.0, 7.0, 0.0, 0.0, 3.0, 8.0, 13.0, 12.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 7.0, 0.0, 0.0, 0.0], [0.0, 0.0, 1.0, 12.0, 16.0, 16.0, 12.0, 0.0, 0.0, 0.0, 7.0, 16.0, 11.0, 12.0, 9.0, 0.0, 0.0, 0.0, 6.0, 7.0, 0.0, 14.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 8.0, 15.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 5.0, 0.0, 0.0, 0.0], [0.0, 3.0, 15.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 14.0, 13.0, 10.0, 16.0, 2.0, 0.0, 0.0, 0.0, 5.0, 3.0, 2.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 8.0, 0.0, 2.0, 0.0, 0.0, 0.0, 8.0, 16.0, 14.0, 16.0, 15.0, 0.0, 0.0, 2.0, 16.0, 16.0, 15.0, 12.0, 9.0, 0.0], [0.0, 0.0, 1.0, 10.0, 16.0, 15.0, 5.0, 0.0, 0.0, 0.0, 12.0, 12.0, 9.0, 9.0, 10.0, 0.0, 0.0, 4.0, 16.0, 1.0, 0.0, 7.0, 7.0, 0.0, 0.0, 4.0, 14.0, 13.0, 8.0, 11.0, 0.0, 0.0, 0.0, 0.0, 1.0, 6.0, 16.0, 14.0, 1.0, 0.0, 0.0, 0.0, 0.0, 8.0, 11.0, 14.0, 5.0, 0.0, 0.0, 0.0, 0.0, 12.0, 8.0, 15.0, 2.0, 0.0, 0.0, 0.0, 0.0, 10.0, 15.0, 5.0, 0.0, 0.0], [0.0, 1.0, 13.0, 16.0, 15.0, 5.0, 0.0, 0.0, 0.0, 4.0, 16.0, 7.0, 14.0, 12.0, 0.0, 0.0, 0.0, 3.0, 12.0, 2.0, 11.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 1.0, 11.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 14.0, 16.0, 7.0, 0.0, 0.0, 1.0, 16.0, 16.0, 15.0, 12.0, 5.0, 0.0], [0.0, 2.0, 15.0, 13.0, 2.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 13.0, 15.0, 0.0, 0.0, 0.0, 0.0, 11.0, 11.0, 5.0, 16.0, 4.0, 0.0, 0.0, 0.0, 1.0, 1.0, 7.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 8.0, 8.0, 2.0, 0.0, 0.0, 0.0, 12.0, 16.0, 16.0, 16.0, 11.0, 0.0, 0.0, 2.0, 15.0, 13.0, 6.0, 4.0, 1.0, 0.0], [0.0, 0.0, 15.0, 14.0, 15.0, 9.0, 0.0, 0.0, 0.0, 0.0, 12.0, 10.0, 7.0, 6.0, 4.0, 0.0, 0.0, 1.0, 14.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 12.0, 10.0, 4.0, 0.0, 0.0, 0.0, 4.0, 11.0, 8.0, 11.0, 15.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 7.0, 0.0, 0.0, 4.0, 16.0, 10.0, 11.0, 14.0, 1.0, 0.0, 0.0, 1.0, 10.0, 16.0, 15.0, 4.0, 0.0, 0.0], [0.0, 0.0, 2.0, 13.0, 16.0, 16.0, 7.0, 0.0, 0.0, 0.0, 12.0, 15.0, 12.0, 16.0, 10.0, 0.0, 0.0, 0.0, 16.0, 9.0, 0.0, 14.0, 6.0, 0.0, 0.0, 0.0, 3.0, 0.0, 4.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 10.0, 14.0, 16.0, 6.0, 0.0, 0.0, 0.0, 3.0, 16.0, 16.0, 11.0, 2.0, 0.0, 0.0, 0.0, 0.0, 9.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 15.0, 6.0, 0.0, 0.0, 0.0], [0.0, 0.0, 10.0, 8.0, 8.0, 4.0, 0.0, 0.0, 0.0, 8.0, 15.0, 12.0, 14.0, 14.0, 0.0, 0.0, 0.0, 9.0, 11.0, 0.0, 10.0, 16.0, 4.0, 0.0, 0.0, 1.0, 9.0, 12.0, 10.0, 12.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 7.0, 0.0, 0.0, 0.0, 11.0, 6.0, 4.0, 15.0, 4.0, 0.0, 0.0, 0.0, 13.0, 16.0, 16.0, 7.0, 0.0, 0.0], [0.0, 1.0, 13.0, 14.0, 16.0, 14.0, 3.0, 0.0, 0.0, 4.0, 14.0, 8.0, 7.0, 3.0, 0.0, 0.0, 0.0, 6.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 15.0, 11.0, 5.0, 0.0, 0.0, 0.0, 2.0, 7.0, 7.0, 10.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 0.0, 0.0, 0.0, 0.0, 7.0, 5.0, 13.0, 11.0, 0.0, 0.0, 0.0, 0.0, 15.0, 16.0, 10.0, 1.0, 0.0, 0.0], [0.0, 0.0, 0.0, 13.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 15.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 9.0, 6.0, 4.0, 0.0, 0.0, 0.0, 5.0, 16.0, 3.0, 13.0, 8.0, 1.0, 0.0, 0.0, 14.0, 16.0, 9.0, 16.0, 16.0, 9.0, 0.0, 0.0, 12.0, 16.0, 16.0, 16.0, 11.0, 3.0, 0.0, 0.0, 0.0, 4.0, 12.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 10.0, 0.0, 0.0, 0.0], [0.0, 0.0, 1.0, 8.0, 15.0, 11.0, 3.0, 0.0, 0.0, 0.0, 11.0, 12.0, 9.0, 14.0, 11.0, 0.0, 0.0, 2.0, 14.0, 0.0, 0.0, 13.0, 6.0, 0.0, 0.0, 7.0, 15.0, 8.0, 12.0, 9.0, 0.0, 0.0, 0.0, 0.0, 6.0, 13.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 9.0, 15.0, 4.0, 0.0, 0.0, 0.0, 0.0, 16.0, 8.0, 14.0, 3.0, 0.0, 0.0, 0.0, 0.0, 11.0, 15.0, 8.0, 0.0, 0.0], [0.0, 0.0, 2.0, 11.0, 14.0, 12.0, 3.0, 0.0, 0.0, 0.0, 14.0, 14.0, 9.0, 15.0, 8.0, 0.0, 0.0, 5.0, 12.0, 0.0, 5.0, 15.0, 2.0, 0.0, 0.0, 3.0, 16.0, 11.0, 15.0, 3.0, 0.0, 0.0, 0.0, 0.0, 1.0, 14.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 5.0, 15.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 10.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 13.0, 2.0, 0.0, 0.0], [0.0, 0.0, 0.0, 7.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 14.0, 6.0, 5.0, 0.0, 0.0, 0.0, 4.0, 16.0, 7.0, 14.0, 13.0, 2.0, 0.0, 0.0, 10.0, 16.0, 13.0, 16.0, 16.0, 10.0, 0.0, 0.0, 8.0, 15.0, 14.0, 16.0, 10.0, 1.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 15.0, 1.0, 0.0, 0.0], [0.0, 0.0, 6.0, 16.0, 16.0, 11.0, 0.0, 0.0, 0.0, 1.0, 16.0, 8.0, 8.0, 16.0, 6.0, 0.0, 0.0, 0.0, 8.0, 16.0, 14.0, 16.0, 11.0, 0.0, 0.0, 0.0, 1.0, 4.0, 3.0, 10.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 14.0, 1.0, 0.0, 0.0, 0.0, 4.0, 7.0, 11.0, 9.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 10.0, 1.0, 0.0, 0.0], [0.0, 0.0, 5.0, 12.0, 9.0, 1.0, 0.0, 0.0, 0.0, 0.0, 14.0, 14.0, 13.0, 13.0, 0.0, 0.0, 0.0, 3.0, 12.0, 1.0, 1.0, 13.0, 4.0, 0.0, 0.0, 7.0, 8.0, 0.0, 0.0, 6.0, 8.0, 0.0, 0.0, 8.0, 8.0, 0.0, 0.0, 5.0, 8.0, 0.0, 0.0, 5.0, 10.0, 0.0, 0.0, 11.0, 4.0, 0.0, 0.0, 1.0, 15.0, 9.0, 11.0, 13.0, 0.0, 0.0, 0.0, 0.0, 7.0, 15.0, 12.0, 2.0, 0.0, 0.0], [0.0, 0.0, 2.0, 9.0, 15.0, 12.0, 5.0, 0.0, 0.0, 0.0, 12.0, 11.0, 11.0, 12.0, 11.0, 0.0, 0.0, 1.0, 16.0, 1.0, 0.0, 8.0, 11.0, 0.0, 0.0, 3.0, 15.0, 12.0, 10.0, 15.0, 2.0, 0.0, 0.0, 0.0, 1.0, 11.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 15.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 15.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 13.0, 2.0, 0.0, 0.0], [0.0, 0.0, 9.0, 13.0, 15.0, 10.0, 1.0, 0.0, 0.0, 1.0, 15.0, 5.0, 7.0, 16.0, 5.0, 0.0, 0.0, 0.0, 15.0, 7.0, 10.0, 16.0, 6.0, 0.0, 0.0, 0.0, 2.0, 7.0, 7.0, 10.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 5.0, 0.0, 0.0, 0.0, 14.0, 6.0, 10.0, 12.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 12.0, 1.0, 0.0, 0.0], [0.0, 0.0, 1.0, 10.0, 11.0, 2.0, 0.0, 0.0, 0.0, 0.0, 12.0, 12.0, 8.0, 15.0, 4.0, 0.0, 0.0, 6.0, 11.0, 0.0, 1.0, 12.0, 7.0, 0.0, 0.0, 4.0, 16.0, 7.0, 15.0, 12.0, 0.0, 0.0, 0.0, 0.0, 5.0, 15.0, 15.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 7.0, 14.0, 0.0, 0.0, 0.0, 0.0, 4.0, 12.0, 7.0, 10.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 16.0, 3.0, 0.0, 0.0], [0.0, 0.0, 4.0, 16.0, 15.0, 2.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 13.0, 13.0, 0.0, 0.0, 0.0, 1.0, 16.0, 8.0, 1.0, 16.0, 2.0, 0.0, 0.0, 7.0, 16.0, 6.0, 0.0, 11.0, 8.0, 0.0, 0.0, 7.0, 16.0, 4.0, 0.0, 11.0, 8.0, 0.0, 0.0, 4.0, 15.0, 1.0, 1.0, 15.0, 7.0, 0.0, 0.0, 0.0, 13.0, 12.0, 14.0, 15.0, 1.0, 0.0, 0.0, 0.0, 3.0, 14.0, 16.0, 6.0, 0.0, 0.0], [0.0, 0.0, 0.0, 14.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 12.0, 16.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 4.0, 15.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 10.0, 0.0, 0.0, 0.0], [0.0, 0.0, 5.0, 13.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 12.0, 14.0, 2.0, 0.0, 0.0, 0.0, 0.0, 12.0, 0.0, 12.0, 6.0, 0.0, 0.0, 0.0, 0.0, 6.0, 1.0, 15.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 14.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 8.0, 2.0, 6.0, 3.0, 0.0, 0.0, 4.0, 8.0, 10.0, 16.0, 12.0, 1.0], [0.0, 0.0, 4.0, 16.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 1.0, 9.0, 10.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 5.0, 15.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 10.0, 0.0, 0.0, 0.0, 0.0, 11.0, 8.0, 12.0, 14.0, 1.0, 0.0, 0.0, 0.0, 5.0, 13.0, 16.0, 15.0, 0.0, 0.0], [0.0, 0.0, 1.0, 15.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 11.0, 0.0, 7.0, 4.0, 0.0, 0.0, 8.0, 16.0, 10.0, 6.0, 16.0, 9.0, 0.0, 0.0, 6.0, 16.0, 16.0, 16.0, 16.0, 4.0, 0.0, 0.0, 0.0, 5.0, 11.0, 16.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 15.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 11.0, 0.0, 0.0, 0.0], [0.0, 0.0, 11.0, 14.0, 16.0, 10.0, 0.0, 0.0, 0.0, 6.0, 15.0, 8.0, 6.0, 4.0, 0.0, 0.0, 0.0, 5.0, 12.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 16.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0, 3.0, 11.0, 11.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 16.0, 3.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 0.0, 13.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 15.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 11.0, 2.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 16.0, 14.0, 1.0, 0.0, 0.0, 0.0, 5.0, 16.0, 8.0, 8.0, 10.0, 0.0, 0.0, 0.0, 9.0, 16.0, 4.0, 0.0, 15.0, 0.0, 0.0, 0.0, 2.0, 9.0, 11.0, 13.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 10.0, 0.0], [0.0, 3.0, 13.0, 16.0, 13.0, 0.0, 0.0, 0.0, 0.0, 9.0, 13.0, 8.0, 16.0, 5.0, 1.0, 0.0, 0.0, 0.0, 8.0, 14.0, 16.0, 16.0, 5.0, 0.0, 0.0, 0.0, 8.0, 16.0, 15.0, 2.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 15.0, 3.0, 0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 1.0, 8.0, 13.0, 1.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 16.0, 9.0, 0.0, 0.0, 0.0, 1.0, 15.0, 16.0, 16.0, 10.0, 0.0, 0.0, 0.0, 6.0, 15.0, 14.0, 6.0, 0.0, 0.0, 0.0, 0.0, 3.0, 7.0, 6.0, 6.0, 0.0, 0.0, 0.0, 0.0, 1.0, 10.0, 2.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 11.0, 13.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 12.0, 5.0, 0.0, 0.0], [0.0, 0.0, 0.0, 1.0, 9.0, 14.0, 7.0, 0.0, 0.0, 0.0, 5.0, 14.0, 9.0, 8.0, 10.0, 0.0, 0.0, 2.0, 14.0, 16.0, 11.0, 13.0, 3.0, 0.0, 0.0, 3.0, 16.0, 16.0, 16.0, 16.0, 5.0, 0.0, 0.0, 0.0, 6.0, 7.0, 1.0, 11.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 13.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 0.0, 0.0, 0.0], [0.0, 0.0, 2.0, 16.0, 12.0, 1.0, 0.0, 0.0, 0.0, 0.0, 11.0, 15.0, 13.0, 11.0, 0.0, 0.0, 0.0, 2.0, 16.0, 9.0, 0.0, 14.0, 2.0, 0.0, 0.0, 4.0, 16.0, 12.0, 0.0, 11.0, 5.0, 0.0, 0.0, 4.0, 16.0, 6.0, 0.0, 12.0, 7.0, 0.0, 0.0, 0.0, 15.0, 1.0, 1.0, 15.0, 9.0, 0.0, 0.0, 0.0, 10.0, 9.0, 10.0, 15.0, 2.0, 0.0, 0.0, 0.0, 2.0, 13.0, 16.0, 8.0, 0.0, 0.0], [0.0, 0.0, 1.0, 15.0, 14.0, 1.0, 0.0, 0.0, 0.0, 2.0, 13.0, 16.0, 16.0, 3.0, 0.0, 0.0, 0.0, 5.0, 16.0, 16.0, 16.0, 4.0, 0.0, 0.0, 0.0, 4.0, 16.0, 16.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 11.0, 0.0, 0.0, 0.0], [0.0, 0.0, 2.0, 10.0, 12.0, 2.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 13.0, 10.0, 0.0, 0.0, 0.0, 0.0, 9.0, 7.0, 2.0, 15.0, 0.0, 0.0, 0.0, 0.0, 3.0, 2.0, 3.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 10.0, 0.0, 0.0, 0.0, 0.0, 2.0, 7.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 16.0, 16.0, 16.0, 3.0, 0.0, 0.0, 3.0, 13.0, 9.0, 8.0, 4.0, 0.0], [0.0, 0.0, 3.0, 11.0, 13.0, 15.0, 3.0, 0.0, 0.0, 4.0, 16.0, 14.0, 11.0, 16.0, 8.0, 0.0, 0.0, 2.0, 5.0, 0.0, 14.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 12.0, 0.0, 0.0, 0.0, 0.0, 8.0, 11.0, 15.0, 8.0, 0.0, 0.0, 0.0, 0.0, 2.0, 12.0, 14.0, 3.0, 0.0, 0.0], [0.0, 0.0, 1.0, 12.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 14.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 7.0, 0.0, 3.0, 5.0, 0.0, 0.0, 5.0, 16.0, 0.0, 4.0, 15.0, 4.0, 0.0, 0.0, 5.0, 16.0, 16.0, 16.0, 15.0, 2.0, 0.0, 0.0, 0.0, 11.0, 12.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 10.0, 0.0, 0.0, 0.0], [0.0, 0.0, 4.0, 13.0, 16.0, 14.0, 0.0, 0.0, 0.0, 2.0, 14.0, 16.0, 12.0, 4.0, 0.0, 0.0, 0.0, 13.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 10.0, 1.0, 0.0, 0.0, 0.0, 0.0, 5.0, 15.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 15.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 15.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 5.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 6.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 15.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 12.0, 7.0, 12.0, 2.0, 0.0, 0.0, 0.0, 9.0, 16.0, 15.0, 13.0, 6.0, 0.0, 0.0, 0.0, 13.0, 14.0, 2.0, 13.0, 6.0, 0.0, 0.0, 0.0, 14.0, 15.0, 13.0, 16.0, 4.0, 0.0, 0.0, 0.0, 1.0, 10.0, 16.0, 10.0, 0.0, 0.0], [0.0, 0.0, 0.0, 7.0, 16.0, 16.0, 11.0, 0.0, 0.0, 0.0, 6.0, 16.0, 16.0, 16.0, 16.0, 0.0, 0.0, 0.0, 11.0, 16.0, 16.0, 16.0, 9.0, 0.0, 0.0, 0.0, 2.0, 9.0, 11.0, 14.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 11.0, 1.0, 0.0, 0.0, 0.0, 0.0, 2.0, 14.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 3.0, 0.0, 0.0, 0.0], [0.0, 0.0, 5.0, 16.0, 14.0, 1.0, 0.0, 0.0, 0.0, 0.0, 14.0, 14.0, 14.0, 9.0, 0.0, 0.0, 0.0, 1.0, 15.0, 6.0, 1.0, 12.0, 1.0, 0.0, 0.0, 3.0, 16.0, 1.0, 0.0, 10.0, 4.0, 0.0, 0.0, 5.0, 16.0, 5.0, 0.0, 11.0, 2.0, 0.0, 0.0, 2.0, 16.0, 2.0, 3.0, 16.0, 0.0, 0.0, 0.0, 0.0, 11.0, 13.0, 14.0, 12.0, 0.0, 0.0, 0.0, 0.0, 3.0, 15.0, 15.0, 5.0, 0.0, 0.0], [0.0, 0.0, 2.0, 15.0, 14.0, 1.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 16.0, 4.0, 0.0, 0.0, 0.0, 4.0, 16.0, 16.0, 16.0, 1.0, 0.0, 0.0, 0.0, 7.0, 16.0, 16.0, 14.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 16.0, 11.0, 0.0, 0.0, 0.0, 0.0, 1.0, 13.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 14.0, 9.0, 0.0, 0.0, 0.0], [0.0, 0.0, 2.0, 12.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 14.0, 14.0, 9.0, 0.0, 0.0, 0.0, 3.0, 15.0, 1.0, 10.0, 9.0, 0.0, 0.0, 0.0, 2.0, 7.0, 0.0, 10.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 13.0, 14.0, 16.0, 4.0, 0.0, 0.0, 4.0, 15.0, 0.0, 0.0, 5.0, 4.0], [0.0, 0.0, 10.0, 16.0, 15.0, 7.0, 0.0, 0.0, 0.0, 6.0, 16.0, 6.0, 10.0, 16.0, 2.0, 0.0, 0.0, 8.0, 6.0, 5.0, 15.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 11.0, 16.0, 1.0, 0.0, 0.0, 0.0, 11.0, 16.0, 16.0, 8.0, 1.0, 0.0], [0.0, 0.0, 3.0, 15.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 6.0, 0.0, 8.0, 5.0, 0.0, 0.0, 12.0, 14.0, 0.0, 5.0, 16.0, 8.0, 0.0, 0.0, 12.0, 15.0, 14.0, 16.0, 13.0, 0.0, 0.0, 0.0, 1.0, 11.0, 14.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 4.0, 15.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 5.0, 0.0, 0.0, 0.0], [0.0, 0.0, 10.0, 16.0, 16.0, 14.0, 0.0, 0.0, 0.0, 4.0, 16.0, 14.0, 10.0, 8.0, 0.0, 0.0, 0.0, 13.0, 16.0, 8.0, 1.0, 0.0, 0.0, 0.0, 0.0, 12.0, 16.0, 16.0, 13.0, 2.0, 0.0, 0.0, 0.0, 3.0, 8.0, 9.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 5.0, 12.0, 15.0, 2.0, 0.0, 0.0, 0.0, 0.0, 12.0, 15.0, 5.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 1.0, 13.0, 1.0, 0.0, 0.0, 0.0, 0.0, 1.0, 14.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 14.0, 10.0, 3.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 16.0, 16.0, 1.0, 0.0, 0.0, 0.0, 8.0, 16.0, 15.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 2.0, 11.0, 11.0, 1.0, 0.0], [0.0, 0.0, 10.0, 16.0, 14.0, 2.0, 0.0, 0.0, 0.0, 0.0, 13.0, 13.0, 14.0, 11.0, 0.0, 0.0, 0.0, 0.0, 4.0, 8.0, 15.0, 15.0, 4.0, 0.0, 0.0, 0.0, 10.0, 16.0, 16.0, 13.0, 3.0, 0.0, 0.0, 0.0, 1.0, 12.0, 14.0, 1.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 12.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 7.0, 0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 5.0, 12.0, 16.0, 15.0, 0.0, 0.0, 0.0, 3.0, 16.0, 8.0, 9.0, 16.0, 0.0, 0.0, 0.0, 4.0, 16.0, 14.0, 16.0, 7.0, 0.0, 0.0, 0.0, 5.0, 16.0, 15.0, 5.0, 0.0, 0.0, 0.0, 0.0, 8.0, 15.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 8.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 10.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 15.0, 2.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 7.0, 12.0, 16.0, 16.0, 15.0, 0.0, 0.0, 9.0, 16.0, 10.0, 4.0, 16.0, 10.0, 0.0, 0.0, 14.0, 16.0, 13.0, 14.0, 12.0, 1.0, 0.0, 0.0, 4.0, 16.0, 16.0, 16.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 15.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 6.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 10.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 15.0, 13.0, 5.0, 0.0, 0.0, 0.0, 0.0, 13.0, 13.0, 1.0, 13.0, 0.0, 0.0, 0.0, 0.0, 16.0, 7.0, 0.0, 16.0, 0.0, 0.0, 0.0, 0.0, 16.0, 11.0, 3.0, 15.0, 0.0, 0.0, 0.0, 0.0, 14.0, 7.0, 16.0, 12.0, 0.0, 0.0, 0.0, 0.0, 9.0, 13.0, 15.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 10.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 4.0, 11.0, 15.0, 15.0, 2.0, 0.0, 1.0, 10.0, 16.0, 13.0, 14.0, 14.0, 2.0, 0.0, 5.0, 16.0, 16.0, 16.0, 16.0, 14.0, 0.0, 0.0, 0.0, 9.0, 8.0, 8.0, 15.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 2.0, 0.0, 0.0], [0.0, 0.0, 7.0, 15.0, 16.0, 16.0, 1.0, 0.0, 0.0, 9.0, 16.0, 16.0, 10.0, 5.0, 0.0, 0.0, 0.0, 14.0, 16.0, 16.0, 15.0, 0.0, 0.0, 0.0, 0.0, 11.0, 14.0, 13.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 13.0, 0.0, 0.0, 0.0, 0.0], [0.0, 8.0, 13.0, 15.0, 16.0, 16.0, 8.0, 0.0, 0.0, 9.0, 16.0, 16.0, 13.0, 11.0, 5.0, 0.0, 0.0, 6.0, 16.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 14.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 14.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 12.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 15.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 15.0, 8.0, 4.0, 0.0, 0.0, 0.0, 0.0, 15.0, 16.0, 16.0, 15.0, 3.0, 0.0, 0.0, 1.0, 16.0, 13.0, 4.0, 11.0, 11.0, 0.0, 0.0, 0.0, 11.0, 14.0, 9.0, 15.0, 11.0, 0.0, 0.0, 0.0, 1.0, 14.0, 16.0, 15.0, 6.0, 0.0], [0.0, 0.0, 5.0, 15.0, 14.0, 13.0, 2.0, 0.0, 0.0, 0.0, 12.0, 15.0, 9.0, 7.0, 1.0, 0.0, 0.0, 5.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 6.0, 12.0, 14.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 14.0, 0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 2.0, 14.0, 13.0, 3.0, 0.0, 0.0, 0.0, 0.0, 13.0, 13.0, 9.0, 11.0, 0.0, 0.0, 0.0, 0.0, 16.0, 7.0, 0.0, 12.0, 0.0, 0.0, 0.0, 3.0, 16.0, 5.0, 0.0, 10.0, 5.0, 0.0, 0.0, 5.0, 16.0, 1.0, 0.0, 8.0, 5.0, 0.0, 0.0, 3.0, 16.0, 1.0, 0.0, 10.0, 5.0, 0.0, 0.0, 0.0, 16.0, 8.0, 5.0, 14.0, 3.0, 0.0, 0.0, 0.0, 4.0, 16.0, 16.0, 9.0, 1.0, 0.0], [0.0, 0.0, 0.0, 4.0, 12.0, 16.0, 11.0, 0.0, 0.0, 0.0, 15.0, 12.0, 0.0, 5.0, 9.0, 0.0, 0.0, 4.0, 16.0, 5.0, 6.0, 15.0, 3.0, 0.0, 0.0, 3.0, 15.0, 16.0, 14.0, 1.0, 0.0, 0.0, 0.0, 0.0, 3.0, 10.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 12.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 9.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 1.0, 15.0, 5.0, 16.0, 3.0, 0.0, 0.0, 0.0, 13.0, 4.0, 0.0, 15.0, 5.0, 0.0, 0.0, 0.0, 15.0, 11.0, 14.0, 16.0, 2.0, 0.0, 0.0, 8.0, 16.0, 16.0, 13.0, 5.0, 0.0, 0.0, 0.0, 3.0, 15.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 15.0, 0.0, 0.0, 0.0], [0.0, 0.0, 6.0, 14.0, 16.0, 15.0, 1.0, 0.0, 0.0, 9.0, 16.0, 12.0, 9.0, 16.0, 3.0, 0.0, 0.0, 12.0, 16.0, 11.0, 14.0, 13.0, 0.0, 0.0, 0.0, 7.0, 15.0, 16.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 8.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 2.0, 13.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 1.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 8.0, 15.0, 4.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 10.0, 11.0, 0.0, 0.0, 0.0, 0.0, 6.0, 12.0, 11.0, 13.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 16.0, 9.0, 0.0, 0.0, 0.0, 1.0, 16.0, 12.0, 11.0, 5.0, 0.0, 0.0, 0.0, 2.0, 13.0, 0.0, 2.0, 9.0, 0.0, 0.0, 0.0, 0.0, 8.0, 6.0, 2.0, 12.0, 0.0, 0.0, 0.0, 0.0, 1.0, 9.0, 14.0, 9.0, 0.0, 0.0], [0.0, 0.0, 1.0, 13.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 9.0, 0.0, 7.0, 7.0, 0.0, 0.0, 3.0, 16.0, 3.0, 2.0, 15.0, 9.0, 0.0, 0.0, 9.0, 16.0, 8.0, 12.0, 15.0, 0.0, 0.0, 0.0, 6.0, 16.0, 16.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 3.0, 12.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 9.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 13.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 15.0, 0.0, 0.0, 0.0], [0.0, 0.0, 8.0, 15.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 7.0, 10.0, 10.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 14.0, 12.0, 1.0, 0.0, 0.0, 3.0, 16.0, 16.0, 16.0, 12.0, 4.0, 0.0, 0.0, 1.0, 10.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 1.0, 0.0, 0.0, 0.0, 0.0], [0.0, 2.0, 10.0, 16.0, 12.0, 0.0, 0.0, 0.0, 0.0, 12.0, 14.0, 12.0, 16.0, 5.0, 0.0, 0.0, 0.0, 2.0, 0.0, 4.0, 16.0, 7.0, 1.0, 0.0, 0.0, 0.0, 4.0, 15.0, 16.0, 16.0, 10.0, 0.0, 0.0, 1.0, 16.0, 16.0, 12.0, 5.0, 2.0, 0.0, 0.0, 0.0, 15.0, 12.0, 1.0, 0.0, 0.0, 0.0, 0.0, 1.0, 14.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0], [0.0, 2.0, 16.0, 16.0, 16.0, 12.0, 0.0, 0.0, 0.0, 1.0, 9.0, 5.0, 12.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 6.0, 15.0, 14.0, 2.0, 0.0, 0.0, 0.0, 1.0, 16.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 16.0, 5.0, 0.0, 0.0, 0.0, 1.0, 16.0, 16.0, 13.0, 1.0, 0.0, 0.0], [0.0, 4.0, 16.0, 16.0, 16.0, 15.0, 3.0, 0.0, 0.0, 11.0, 16.0, 14.0, 8.0, 8.0, 1.0, 0.0, 0.0, 12.0, 14.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 14.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 13.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 15.0, 3.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 11.0, 9.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 16.0, 12.0, 1.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 14.0, 7.0, 0.0, 0.0, 0.0, 0.0, 14.0, 15.0, 1.0, 11.0, 0.0, 0.0, 0.0, 0.0, 16.0, 15.0, 0.0, 14.0, 1.0, 0.0, 0.0, 1.0, 16.0, 10.0, 0.0, 14.0, 2.0, 0.0, 0.0, 0.0, 15.0, 13.0, 3.0, 15.0, 3.0, 0.0, 0.0, 0.0, 9.0, 16.0, 16.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 16.0, 8.0, 0.0, 0.0], [0.0, 0.0, 9.0, 13.0, 11.0, 1.0, 0.0, 0.0, 0.0, 0.0, 6.0, 4.0, 9.0, 14.0, 1.0, 0.0, 0.0, 0.0, 1.0, 5.0, 0.0, 11.0, 4.0, 0.0, 0.0, 0.0, 13.0, 14.0, 0.0, 7.0, 5.0, 0.0, 0.0, 3.0, 14.0, 1.0, 0.0, 10.0, 4.0, 0.0, 0.0, 3.0, 14.0, 0.0, 2.0, 15.0, 1.0, 0.0, 0.0, 2.0, 13.0, 8.0, 12.0, 11.0, 0.0, 0.0, 0.0, 0.0, 8.0, 14.0, 10.0, 1.0, 0.0, 0.0], [0.0, 0.0, 5.0, 16.0, 15.0, 5.0, 0.0, 0.0, 0.0, 0.0, 8.0, 13.0, 9.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 0.0, 15.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 4.0, 0.0, 0.0, 0.0, 11.0, 10.0, 10.0, 15.0, 0.0, 0.0, 0.0, 0.0, 16.0, 16.0, 16.0, 15.0, 13.0, 4.0, 0.0, 0.0, 7.0, 16.0, 13.0, 10.0, 8.0, 3.0], [0.0, 3.0, 12.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 13.0, 15.0, 8.0, 15.0, 2.0, 0.0, 0.0, 0.0, 11.0, 6.0, 0.0, 12.0, 4.0, 0.0, 0.0, 0.0, 1.0, 0.0, 0.0, 15.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 10.0, 4.0, 6.0, 1.0, 0.0, 2.0, 15.0, 16.0, 16.0, 16.0, 16.0, 3.0], [0.0, 2.0, 15.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 11.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 7.0, 2.0, 1.0, 0.0, 0.0, 1.0, 8.0, 16.0, 14.0, 16.0, 10.0, 0.0, 0.0, 10.0, 16.0, 15.0, 7.0, 1.0, 0.0, 0.0, 0.0, 0.0, 14.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 7.0, 15.0, 15.0, 6.0, 0.0, 0.0, 0.0, 4.0, 16.0, 16.0, 11.0, 15.0, 0.0, 0.0, 0.0, 7.0, 16.0, 10.0, 10.0, 16.0, 1.0, 0.0, 0.0, 3.0, 11.0, 16.0, 16.0, 6.0, 0.0, 0.0, 0.0, 1.0, 15.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 5.0, 14.0, 0.0, 0.0, 0.0, 0.0, 1.0, 13.0, 3.0, 14.0, 1.0, 0.0, 0.0, 0.0, 0.0, 5.0, 15.0, 15.0, 2.0, 0.0, 0.0], [0.0, 0.0, 1.0, 15.0, 13.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 14.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 15.0, 1.0, 0.0, 0.0, 0.0, 3.0, 10.0, 13.0, 13.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 16.0, 12.0, 4.0, 0.0, 0.0, 0.0, 1.0, 13.0, 15.0, 14.0, 16.0, 7.0], [0.0, 0.0, 0.0, 12.0, 11.0, 1.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 13.0, 10.0, 0.0, 0.0, 0.0, 0.0, 8.0, 9.0, 1.0, 12.0, 0.0, 0.0, 0.0, 2.0, 16.0, 9.0, 0.0, 10.0, 5.0, 0.0, 0.0, 4.0, 16.0, 8.0, 0.0, 7.0, 8.0, 0.0, 0.0, 1.0, 16.0, 3.0, 0.0, 10.0, 7.0, 0.0, 0.0, 0.0, 8.0, 13.0, 9.0, 16.0, 6.0, 0.0, 0.0, 0.0, 1.0, 10.0, 16.0, 13.0, 1.0, 0.0], [0.0, 0.0, 0.0, 15.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 16.0, 1.0, 0.0, 0.0, 0.0, 2.0, 16.0, 16.0, 16.0, 3.0, 0.0, 0.0, 0.0, 7.0, 16.0, 16.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 15.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 4.0, 0.0, 0.0, 0.0], [0.0, 2.0, 13.0, 16.0, 12.0, 0.0, 0.0, 0.0, 0.0, 9.0, 15.0, 10.0, 16.0, 3.0, 0.0, 0.0, 0.0, 5.0, 7.0, 5.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 16.0, 1.0, 3.0, 7.0, 1.0, 0.0, 3.0, 16.0, 12.0, 10.0, 16.0, 11.0, 1.0, 0.0, 0.0, 13.0, 16.0, 13.0, 7.0, 1.0, 0.0], [0.0, 0.0, 0.0, 8.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 15.0, 12.0, 9.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 13.0, 9.0, 8.0, 0.0, 0.0, 0.0, 11.0, 16.0, 2.0, 8.0, 9.0, 0.0, 0.0, 0.0, 3.0, 16.0, 5.0, 12.0, 10.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 14.0, 2.0, 0.0], [0.0, 0.0, 11.0, 15.0, 16.0, 10.0, 0.0, 0.0, 0.0, 8.0, 16.0, 8.0, 15.0, 16.0, 0.0, 0.0, 0.0, 5.0, 6.0, 10.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 11.0, 1.0, 0.0, 0.0, 0.0, 0.0, 2.0, 15.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 13.0, 16.0, 15.0, 0.0, 0.0, 0.0], [0.0, 2.0, 11.0, 14.0, 14.0, 9.0, 0.0, 0.0, 0.0, 3.0, 10.0, 7.0, 10.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 4.0, 13.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 15.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 13.0, 9.0, 0.0, 0.0, 0.0, 0.0, 1.0, 15.0, 13.0, 1.0, 0.0, 0.0, 0.0], [0.0, 2.0, 13.0, 16.0, 15.0, 2.0, 0.0, 0.0, 0.0, 15.0, 14.0, 7.0, 16.0, 5.0, 0.0, 0.0, 0.0, 10.0, 1.0, 2.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 1.0, 11.0, 16.0, 15.0, 8.0, 0.0, 0.0, 0.0, 15.0, 16.0, 13.0, 8.0, 2.0, 0.0, 0.0, 0.0, 10.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 3.0, 0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 9.0, 16.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 9.0, 9.0, 9.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 15.0, 7.0, 0.0, 0.0, 0.0, 0.0, 1.0, 14.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 12.0, 0.0, 0.0, 0.0], [0.0, 0.0, 8.0, 16.0, 16.0, 13.0, 0.0, 0.0, 0.0, 0.0, 10.0, 11.0, 9.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 12.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0, 2.0, 15.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 3.0, 0.0, 0.0, 0.0, 3.0, 12.0, 2.0, 14.0, 4.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 16.0, 5.0, 0.0, 0.0], [0.0, 0.0, 5.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 15.0, 8.0, 0.0, 6.0, 5.0, 0.0, 0.0, 9.0, 16.0, 6.0, 12.0, 16.0, 9.0, 0.0, 0.0, 7.0, 16.0, 16.0, 16.0, 15.0, 1.0, 0.0, 0.0, 0.0, 3.0, 10.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 1.0, 14.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 2.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 11.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 9.0, 1.0, 3.0, 0.0, 0.0, 0.0, 0.0, 14.0, 14.0, 15.0, 16.0, 7.0, 0.0, 0.0, 0.0, 10.0, 16.0, 15.0, 12.0, 12.0, 0.0, 0.0, 0.0, 6.0, 16.0, 13.0, 14.0, 12.0, 0.0, 0.0, 0.0, 0.0, 9.0, 15.0, 15.0, 3.0, 0.0], [0.0, 0.0, 0.0, 6.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 12.0, 0.0, 2.0, 0.0, 0.0, 0.0, 0.0, 13.0, 14.0, 16.0, 14.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 14.0, 13.0, 6.0, 0.0, 0.0, 0.0, 5.0, 13.0, 9.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 6.0, 15.0, 12.0, 1.0, 0.0], [0.0, 0.0, 0.0, 9.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 11.0, 6.0, 7.0, 1.0, 0.0, 0.0, 0.0, 13.0, 14.0, 15.0, 16.0, 8.0, 0.0, 0.0, 0.0, 12.0, 13.0, 5.0, 5.0, 13.0, 0.0, 0.0, 0.0, 6.0, 14.0, 8.0, 15.0, 12.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 12.0, 2.0, 0.0], [0.0, 0.0, 10.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 7.0, 1.0, 7.0, 0.0, 0.0, 0.0, 0.0, 15.0, 7.0, 12.0, 16.0, 2.0, 0.0, 0.0, 0.0, 10.0, 16.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 12.0, 0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 2.0, 9.0, 13.0, 6.0, 0.0, 0.0, 0.0, 11.0, 15.0, 8.0, 9.0, 10.0, 0.0, 0.0, 3.0, 16.0, 10.0, 4.0, 13.0, 5.0, 0.0, 0.0, 1.0, 15.0, 16.0, 15.0, 15.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 14.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 4.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 14.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 12.0, 0.0, 0.0, 0.0], [0.0, 0.0, 12.0, 16.0, 16.0, 15.0, 3.0, 0.0, 0.0, 4.0, 16.0, 16.0, 6.0, 2.0, 1.0, 0.0, 0.0, 14.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 15.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 15.0, 0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 9.0, 8.0, 1.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 16.0, 8.0, 0.0, 0.0, 0.0, 4.0, 16.0, 15.0, 1.0, 15.0, 0.0, 0.0, 0.0, 6.0, 16.0, 12.0, 0.0, 12.0, 1.0, 0.0, 0.0, 5.0, 16.0, 11.0, 0.0, 11.0, 6.0, 0.0, 0.0, 1.0, 15.0, 8.0, 4.0, 15.0, 6.0, 0.0, 0.0, 0.0, 5.0, 16.0, 16.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 14.0, 9.0, 0.0, 0.0], [0.0, 0.0, 1.0, 13.0, 10.0, 1.0, 0.0, 0.0, 0.0, 0.0, 12.0, 6.0, 7.0, 10.0, 0.0, 0.0, 0.0, 0.0, 10.0, 10.0, 11.0, 15.0, 0.0, 0.0, 0.0, 0.0, 1.0, 14.0, 16.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 11.0, 0.0, 0.0, 0.0, 2.0, 4.0, 4.0, 14.0, 11.0, 0.0, 0.0, 0.0, 2.0, 11.0, 15.0, 16.0, 5.0, 0.0], [0.0, 0.0, 5.0, 16.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 15.0, 2.0, 0.0, 0.0, 0.0, 0.0, 1.0, 15.0, 16.0, 15.0, 4.0, 0.0, 0.0, 0.0, 0.0, 9.0, 13.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 12.0, 0.0, 0.0, 0.0, 0.0, 5.0, 12.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 3.0, 15.0, 15.0, 1.0, 0.0, 0.0], [0.0, 0.0, 6.0, 16.0, 12.0, 1.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 13.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 5.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 9.0, 4.0, 1.0, 0.0, 0.0, 3.0, 16.0, 16.0, 16.0, 16.0, 10.0, 0.0, 0.0, 5.0, 16.0, 11.0, 9.0, 6.0, 2.0], [0.0, 0.0, 0.0, 10.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 2.0, 15.0, 4.0, 14.0, 2.0, 0.0, 0.0, 0.0, 0.0, 13.0, 8.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 14.0, 1.0, 0.0, 0.0, 0.0, 8.0, 16.0, 16.0, 7.0, 0.0, 0.0, 0.0, 1.0, 15.0, 6.0, 8.0, 12.0, 0.0, 0.0, 0.0, 1.0, 13.0, 5.0, 12.0, 9.0, 0.0, 0.0, 0.0, 0.0, 1.0, 11.0, 15.0, 6.0, 0.0, 0.0], [0.0, 0.0, 4.0, 15.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 16.0, 12.0, 8.0, 15.0, 0.0, 0.0, 0.0, 7.0, 16.0, 4.0, 0.0, 11.0, 5.0, 0.0, 0.0, 10.0, 15.0, 0.0, 0.0, 8.0, 9.0, 0.0, 0.0, 10.0, 14.0, 0.0, 0.0, 8.0, 11.0, 0.0, 0.0, 6.0, 16.0, 4.0, 0.0, 11.0, 9.0, 0.0, 0.0, 1.0, 15.0, 7.0, 8.0, 16.0, 5.0, 0.0, 0.0, 0.0, 3.0, 14.0, 16.0, 10.0, 1.0, 0.0], [0.0, 0.0, 0.0, 12.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 13.0, 0.0, 0.0, 0.0], [0.0, 0.0, 7.0, 14.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 16.0, 12.0, 15.0, 12.0, 0.0, 0.0, 0.0, 0.0, 3.0, 0.0, 14.0, 9.0, 0.0, 0.0, 0.0, 0.0, 5.0, 12.0, 16.0, 15.0, 10.0, 0.0, 0.0, 8.0, 16.0, 16.0, 13.0, 6.0, 0.0, 0.0, 0.0, 3.0, 9.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 12.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 5.0, 0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 8.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 14.0, 11.0, 13.0, 2.0, 0.0, 0.0, 0.0, 13.0, 16.0, 14.0, 14.0, 10.0, 0.0, 0.0, 0.0, 10.0, 15.0, 1.0, 5.0, 13.0, 0.0, 0.0, 0.0, 6.0, 16.0, 8.0, 14.0, 12.0, 0.0, 0.0, 0.0, 0.0, 5.0, 14.0, 16.0, 4.0, 0.0], [0.0, 1.0, 11.0, 16.0, 16.0, 12.0, 0.0, 0.0, 0.0, 8.0, 16.0, 13.0, 16.0, 16.0, 3.0, 0.0, 0.0, 1.0, 5.0, 7.0, 16.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 15.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 13.0, 0.0, 0.0, 0.0, 0.0, 3.0, 7.0, 15.0, 14.0, 0.0, 0.0, 0.0, 0.0, 14.0, 16.0, 16.0, 6.0, 0.0, 0.0], [0.0, 2.0, 13.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 12.0, 13.0, 14.0, 13.0, 0.0, 0.0, 0.0, 0.0, 2.0, 0.0, 8.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 15.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 16.0, 16.0, 9.0, 2.0, 0.0, 0.0, 1.0, 16.0, 14.0, 13.0, 16.0, 9.0, 0.0], [0.0, 0.0, 0.0, 11.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 11.0, 0.0, 0.0, 0.0], [0.0, 1.0, 11.0, 16.0, 11.0, 0.0, 0.0, 0.0, 0.0, 10.0, 14.0, 11.0, 16.0, 0.0, 0.0, 0.0, 0.0, 14.0, 5.0, 6.0, 15.0, 0.0, 0.0, 0.0, 0.0, 3.0, 1.0, 11.0, 14.0, 3.0, 1.0, 0.0, 0.0, 2.0, 13.0, 16.0, 16.0, 16.0, 9.0, 0.0, 0.0, 2.0, 14.0, 16.0, 5.0, 4.0, 2.0, 0.0, 0.0, 0.0, 11.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 5.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 9.0, 4.0, 13.0, 0.0, 0.0, 0.0, 0.0, 16.0, 5.0, 11.0, 13.0, 0.0, 0.0, 0.0, 0.0, 15.0, 13.0, 15.0, 7.0, 0.0, 0.0, 0.0, 0.0, 4.0, 14.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 1.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 8.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 15.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 14.0, 5.0, 1.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 16.0, 16.0, 3.0, 0.0, 0.0, 0.0, 6.0, 16.0, 7.0, 13.0, 8.0, 0.0, 0.0, 0.0, 2.0, 15.0, 7.0, 15.0, 7.0, 0.0, 0.0, 0.0, 0.0, 7.0, 15.0, 12.0, 0.0, 0.0], [0.0, 0.0, 6.0, 16.0, 15.0, 5.0, 0.0, 0.0, 0.0, 0.0, 2.0, 13.0, 14.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 14.0, 14.0, 1.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 14.0, 0.0, 0.0, 0.0, 0.0, 8.0, 7.0, 12.0, 16.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 16.0, 12.0, 1.0, 0.0], [0.0, 0.0, 0.0, 12.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 2.0, 0.0, 0.0], [0.0, 0.0, 6.0, 15.0, 15.0, 4.0, 0.0, 0.0, 0.0, 6.0, 16.0, 16.0, 16.0, 14.0, 0.0, 0.0, 0.0, 7.0, 16.0, 14.0, 16.0, 13.0, 0.0, 0.0, 0.0, 0.0, 3.0, 7.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 15.0, 0.0, 0.0, 0.0, 0.0, 7.0, 10.0, 16.0, 14.0, 0.0, 0.0, 0.0, 0.0, 7.0, 15.0, 15.0, 4.0, 0.0, 0.0], [0.0, 0.0, 0.0, 8.0, 10.0, 14.0, 3.0, 0.0, 0.0, 1.0, 13.0, 13.0, 9.0, 12.0, 8.0, 0.0, 0.0, 6.0, 16.0, 8.0, 8.0, 16.0, 4.0, 0.0, 0.0, 5.0, 16.0, 16.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 5.0, 8.0, 14.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 12.0, 2.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 16.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 15.0, 2.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 16.0, 2.0, 0.0, 0.0], [0.0, 4.0, 15.0, 16.0, 15.0, 4.0, 0.0, 0.0, 0.0, 11.0, 16.0, 14.0, 15.0, 16.0, 0.0, 0.0, 0.0, 3.0, 3.0, 0.0, 16.0, 14.0, 2.0, 0.0, 0.0, 0.0, 9.0, 16.0, 16.0, 16.0, 8.0, 0.0, 0.0, 0.0, 15.0, 16.0, 11.0, 1.0, 0.0, 0.0, 0.0, 0.0, 11.0, 13.0, 1.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 9.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 11.0, 0.0, 3.0, 0.0, 0.0, 0.0, 0.0, 13.0, 8.0, 13.0, 13.0, 10.0, 0.0, 0.0, 0.0, 12.0, 16.0, 8.0, 0.0, 13.0, 1.0, 0.0, 0.0, 6.0, 16.0, 5.0, 9.0, 13.0, 0.0, 0.0, 0.0, 0.0, 8.0, 15.0, 14.0, 4.0, 0.0], [0.0, 0.0, 0.0, 9.0, 15.0, 9.0, 0.0, 0.0, 0.0, 0.0, 8.0, 15.0, 5.0, 12.0, 2.0, 0.0, 0.0, 0.0, 15.0, 15.0, 3.0, 13.0, 3.0, 0.0, 0.0, 0.0, 11.0, 16.0, 16.0, 13.0, 0.0, 0.0, 0.0, 4.0, 16.0, 10.0, 15.0, 0.0, 0.0, 0.0, 0.0, 3.0, 12.0, 0.0, 8.0, 7.0, 0.0, 0.0, 0.0, 0.0, 12.0, 8.0, 10.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 13.0, 4.0, 0.0, 0.0], [0.0, 0.0, 0.0, 14.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 12.0, 0.0, 1.0, 3.0, 0.0, 0.0, 4.0, 16.0, 5.0, 1.0, 15.0, 11.0, 0.0, 0.0, 10.0, 15.0, 4.0, 13.0, 16.0, 3.0, 0.0, 0.0, 8.0, 16.0, 16.0, 16.0, 10.0, 0.0, 0.0, 0.0, 2.0, 11.0, 12.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 9.0, 0.0, 0.0, 0.0], [0.0, 0.0, 7.0, 15.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 14.0, 9.0, 10.0, 16.0, 1.0, 0.0, 0.0, 0.0, 2.0, 5.0, 15.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 13.0, 0.0, 0.0, 0.0, 0.0, 11.0, 9.0, 15.0, 16.0, 1.0, 0.0, 0.0, 0.0, 8.0, 16.0, 16.0, 12.0, 0.0, 0.0], [0.0, 0.0, 0.0, 14.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 12.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 15.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 1.0, 13.0, 16.0, 0.0, 9.0, 2.0, 0.0, 0.0, 5.0, 16.0, 11.0, 5.0, 16.0, 9.0, 0.0, 0.0, 7.0, 16.0, 14.0, 16.0, 16.0, 7.0, 0.0, 0.0, 1.0, 11.0, 15.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 11.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 10.0, 13.0, 3.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 14.0, 12.0, 0.0, 0.0, 0.0, 3.0, 16.0, 13.0, 0.0, 14.0, 1.0, 0.0, 0.0, 5.0, 16.0, 6.0, 0.0, 14.0, 5.0, 0.0, 0.0, 6.0, 16.0, 0.0, 0.0, 15.0, 4.0, 0.0, 0.0, 2.0, 13.0, 1.0, 5.0, 16.0, 4.0, 0.0, 0.0, 0.0, 10.0, 16.0, 16.0, 14.0, 1.0, 0.0, 0.0, 0.0, 2.0, 11.0, 13.0, 6.0, 0.0, 0.0], [0.0, 0.0, 7.0, 12.0, 15.0, 6.0, 0.0, 0.0, 0.0, 14.0, 16.0, 15.0, 6.0, 0.0, 0.0, 0.0, 0.0, 16.0, 16.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 14.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 8.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 13.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 7.0, 0.0, 0.0, 0.0], [0.0, 0.0, 8.0, 15.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 13.0, 13.0, 13.0, 13.0, 0.0, 0.0, 0.0, 0.0, 2.0, 6.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 15.0, 0.0, 0.0, 0.0, 0.0, 7.0, 4.0, 11.0, 16.0, 1.0, 0.0, 0.0, 0.0, 7.0, 16.0, 16.0, 8.0, 0.0, 0.0], [0.0, 0.0, 0.0, 5.0, 13.0, 1.0, 0.0, 0.0, 0.0, 0.0, 1.0, 15.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 14.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 11.0, 11.0, 5.0, 13.0, 0.0, 0.0, 0.0, 0.0, 6.0, 13.0, 7.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 14.0, 9.0, 0.0, 0.0], [0.0, 0.0, 7.0, 16.0, 15.0, 4.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 15.0, 12.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 16.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 8.0, 15.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 11.0, 0.0, 0.0, 0.0, 1.0, 0.0, 5.0, 15.0, 9.0, 0.0, 0.0, 0.0, 6.0, 15.0, 16.0, 16.0, 2.0, 0.0], [0.0, 0.0, 1.0, 13.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 12.0, 1.0, 0.0, 0.0, 0.0, 0.0, 14.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 14.0, 9.0, 1.0, 0.0, 0.0, 0.0, 1.0, 16.0, 16.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 13.0, 15.0, 13.0, 15.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 14.0, 14.0, 1.0, 0.0, 0.0, 0.0, 1.0, 11.0, 16.0, 8.0, 0.0, 0.0], [0.0, 0.0, 0.0, 12.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 14.0, 0.0, 0.0, 0.0], [0.0, 0.0, 3.0, 16.0, 15.0, 5.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 15.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 7.0, 16.0, 4.0, 0.0, 0.0, 2.0, 6.0, 9.0, 14.0, 16.0, 5.0, 0.0, 0.0, 9.0, 16.0, 16.0, 16.0, 12.0, 1.0, 0.0, 0.0, 0.0, 9.0, 15.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 15.0, 4.0, 0.0, 0.0, 0.0], [0.0, 0.0, 15.0, 13.0, 13.0, 13.0, 0.0, 0.0, 0.0, 0.0, 16.0, 16.0, 11.0, 3.0, 0.0, 0.0, 0.0, 0.0, 12.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 15.0, 1.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 13.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 10.0, 0.0, 8.0, 2.0, 0.0, 0.0, 4.0, 16.0, 5.0, 11.0, 16.0, 8.0, 0.0, 0.0, 7.0, 16.0, 16.0, 16.0, 16.0, 3.0, 0.0, 0.0, 2.0, 13.0, 9.0, 16.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 15.0, 1.0, 0.0, 0.0], [0.0, 0.0, 4.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 13.0, 0.0, 1.0, 1.0, 0.0, 0.0, 3.0, 16.0, 8.0, 5.0, 16.0, 6.0, 0.0, 0.0, 9.0, 16.0, 6.0, 14.0, 16.0, 2.0, 0.0, 0.0, 11.0, 16.0, 16.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 10.0, 15.0, 15.0, 2.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 3.0, 0.0, 0.0, 0.0], [0.0, 0.0, 5.0, 14.0, 14.0, 2.0, 0.0, 0.0, 0.0, 2.0, 16.0, 16.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 7.0, 4.0, 16.0, 12.0, 0.0, 0.0, 0.0, 0.0, 1.0, 9.0, 16.0, 16.0, 8.0, 0.0, 0.0, 3.0, 15.0, 16.0, 16.0, 10.0, 2.0, 0.0, 0.0, 4.0, 16.0, 16.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 13.0, 0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 7.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 16.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 13.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 16.0, 6.0, 4.0, 8.0, 1.0, 0.0, 0.0, 14.0, 16.0, 16.0, 16.0, 16.0, 4.0, 0.0, 0.0, 7.0, 16.0, 15.0, 7.0, 3.0, 0.0], [0.0, 0.0, 8.0, 16.0, 16.0, 12.0, 0.0, 0.0, 0.0, 0.0, 16.0, 13.0, 10.0, 16.0, 3.0, 0.0, 0.0, 0.0, 12.0, 1.0, 2.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 15.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 15.0, 2.0, 0.0, 0.0, 0.0, 1.0, 11.0, 16.0, 12.0, 8.0, 8.0, 1.0, 0.0, 0.0, 11.0, 16.0, 16.0, 16.0, 12.0, 1.0], [0.0, 0.0, 3.0, 9.0, 14.0, 9.0, 0.0, 0.0, 0.0, 5.0, 16.0, 14.0, 5.0, 0.0, 0.0, 0.0, 0.0, 12.0, 11.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 16.0, 12.0, 1.0, 0.0, 0.0, 0.0, 0.0, 4.0, 11.0, 13.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 12.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 15.0, 7.0, 0.0, 0.0, 0.0], [0.0, 7.0, 12.0, 14.0, 16.0, 8.0, 0.0, 0.0, 0.0, 8.0, 16.0, 14.0, 15.0, 11.0, 0.0, 0.0, 0.0, 2.0, 11.0, 2.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 8.0, 5.0, 0.0, 0.0, 8.0, 13.0, 16.0, 16.0, 12.0, 5.0, 0.0, 0.0, 7.0, 16.0, 12.0, 3.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 7.0, 16.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 14.0, 12.0, 11.0, 14.0, 0.0, 0.0, 0.0, 0.0, 11.0, 15.0, 16.0, 12.0, 0.0, 0.0, 0.0, 0.0, 5.0, 15.0, 15.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 12.0, 14.0, 0.0, 0.0, 0.0, 1.0, 10.0, 0.0, 7.0, 15.0, 0.0, 0.0, 0.0, 1.0, 14.0, 6.0, 13.0, 12.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 16.0, 11.0, 0.0, 0.0], [0.0, 0.0, 3.0, 14.0, 16.0, 14.0, 0.0, 0.0, 0.0, 3.0, 12.0, 16.0, 8.0, 1.0, 0.0, 0.0, 0.0, 15.0, 16.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 11.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 8.0, 15.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 9.0, 0.0, 0.0, 0.0], [0.0, 0.0, 11.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 3.0, 2.0, 14.0, 3.0, 0.0, 0.0, 9.0, 15.0, 0.0, 12.0, 15.0, 0.0, 0.0, 0.0, 6.0, 16.0, 15.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 6.0, 15.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 10.0, 0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 11.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 15.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 8.0, 0.0, 4.0, 7.0, 0.0, 0.0, 5.0, 16.0, 2.0, 2.0, 13.0, 9.0, 0.0, 0.0, 10.0, 15.0, 12.0, 15.0, 14.0, 1.0, 0.0, 0.0, 6.0, 16.0, 9.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 14.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 7.0, 0.0, 0.0, 0.0], [0.0, 0.0, 7.0, 15.0, 16.0, 12.0, 0.0, 0.0, 0.0, 12.0, 16.0, 11.0, 16.0, 13.0, 0.0, 0.0, 0.0, 15.0, 16.0, 16.0, 14.0, 5.0, 0.0, 0.0, 0.0, 8.0, 16.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 12.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 12.0, 1.0, 0.0, 0.0, 0.0], [0.0, 0.0, 1.0, 13.0, 15.0, 8.0, 0.0, 0.0, 0.0, 0.0, 11.0, 14.0, 8.0, 15.0, 0.0, 0.0, 0.0, 2.0, 16.0, 3.0, 0.0, 13.0, 2.0, 0.0, 0.0, 5.0, 15.0, 0.0, 0.0, 10.0, 5.0, 0.0, 0.0, 3.0, 10.0, 0.0, 0.0, 10.0, 5.0, 0.0, 0.0, 3.0, 13.0, 0.0, 1.0, 15.0, 3.0, 0.0, 0.0, 0.0, 12.0, 10.0, 11.0, 11.0, 0.0, 0.0, 0.0, 0.0, 1.0, 12.0, 11.0, 4.0, 0.0, 0.0], [0.0, 0.0, 2.0, 10.0, 11.0, 1.0, 0.0, 0.0, 0.0, 0.0, 5.0, 14.0, 3.0, 12.0, 0.0, 0.0, 0.0, 0.0, 6.0, 13.0, 3.0, 15.0, 0.0, 0.0, 0.0, 0.0, 8.0, 15.0, 15.0, 9.0, 0.0, 0.0, 0.0, 2.0, 16.0, 11.0, 9.0, 0.0, 0.0, 0.0, 0.0, 2.0, 14.0, 2.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 6.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 15.0, 6.0, 0.0, 0.0, 0.0], [0.0, 0.0, 1.0, 10.0, 13.0, 12.0, 5.0, 0.0, 0.0, 0.0, 13.0, 13.0, 4.0, 4.0, 12.0, 0.0, 0.0, 3.0, 16.0, 7.0, 4.0, 12.0, 6.0, 0.0, 0.0, 2.0, 15.0, 16.0, 15.0, 5.0, 0.0, 0.0, 0.0, 0.0, 1.0, 9.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 1.0, 9.0, 15.0, 10.0, 1.0, 0.0, 0.0, 0.0, 2.0, 12.0, 8.0, 12.0, 4.0, 0.0, 0.0, 0.0, 0.0, 11.0, 1.0, 11.0, 3.0, 0.0, 0.0, 0.0, 0.0, 8.0, 8.0, 15.0, 4.0, 0.0, 0.0, 2.0, 15.0, 16.0, 16.0, 7.0, 0.0, 0.0, 0.0, 2.0, 15.0, 5.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 4.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 14.0, 9.0, 0.0, 0.0, 0.0], [0.0, 0.0, 8.0, 12.0, 12.0, 1.0, 0.0, 0.0, 0.0, 3.0, 16.0, 16.0, 14.0, 9.0, 0.0, 0.0, 0.0, 6.0, 15.0, 9.0, 3.0, 12.0, 2.0, 0.0, 0.0, 7.0, 9.0, 0.0, 0.0, 9.0, 7.0, 0.0, 0.0, 7.0, 8.0, 0.0, 0.0, 7.0, 8.0, 0.0, 0.0, 5.0, 10.0, 0.0, 0.0, 7.0, 9.0, 0.0, 0.0, 0.0, 14.0, 13.0, 10.0, 16.0, 6.0, 0.0, 0.0, 0.0, 5.0, 13.0, 11.0, 4.0, 0.0, 0.0], [0.0, 0.0, 4.0, 14.0, 16.0, 14.0, 1.0, 0.0, 0.0, 2.0, 14.0, 16.0, 16.0, 8.0, 0.0, 0.0, 0.0, 4.0, 16.0, 16.0, 14.0, 3.0, 0.0, 0.0, 0.0, 4.0, 16.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 13.0, 12.0, 0.0, 0.0, 0.0, 0.0, 1.0, 14.0, 16.0, 15.0, 3.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 16.0, 12.0, 0.0, 0.0, 0.0, 0.0, 2.0, 9.0, 15.0, 16.0, 8.0, 0.0], [0.0, 1.0, 12.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 16.0, 13.0, 0.0, 0.0, 0.0, 0.0, 7.0, 6.0, 5.0, 14.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 13.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 10.0, 8.0, 4.0, 0.0, 0.0, 0.0, 13.0, 15.0, 16.0, 12.0, 7.0, 0.0], [0.0, 1.0, 6.0, 12.0, 15.0, 5.0, 0.0, 0.0, 0.0, 7.0, 14.0, 14.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 2.0, 14.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 11.0, 16.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 14.0, 7.0, 0.0, 0.0, 0.0, 2.0, 4.0, 5.0, 14.0, 7.0, 0.0, 0.0, 0.0, 6.0, 16.0, 14.0, 8.0, 0.0, 0.0], [0.0, 0.0, 0.0, 0.0, 8.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 14.0, 3.0, 10.0, 10.0, 0.0, 0.0, 1.0, 14.0, 15.0, 10.0, 16.0, 6.0, 0.0, 0.0, 14.0, 14.0, 12.0, 15.0, 16.0, 2.0, 0.0, 0.0, 3.0, 0.0, 0.0, 8.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 10.0, 0.0, 0.0], [0.0, 0.0, 9.0, 15.0, 16.0, 15.0, 2.0, 0.0, 0.0, 4.0, 16.0, 5.0, 3.0, 1.0, 0.0, 0.0, 0.0, 4.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 14.0, 9.0, 14.0, 15.0, 2.0, 0.0, 0.0, 5.0, 13.0, 9.0, 8.0, 15.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 5.0, 0.0, 0.0, 0.0, 0.0, 5.0, 11.0, 14.0, 0.0, 0.0, 0.0, 0.0, 11.0, 12.0, 7.0, 1.0, 0.0, 0.0], [0.0, 0.0, 1.0, 13.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 14.0, 2.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 16.0, 8.0, 1.0, 0.0, 0.0, 0.0, 3.0, 15.0, 11.0, 14.0, 13.0, 2.0, 0.0, 0.0, 0.0, 10.0, 16.0, 10.0, 16.0, 15.0, 0.0, 0.0, 0.0, 1.0, 10.0, 14.0, 12.0, 7.0, 0.0], [0.0, 0.0, 7.0, 16.0, 16.0, 15.0, 5.0, 0.0, 0.0, 0.0, 9.0, 12.0, 15.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 15.0, 1.0, 0.0, 0.0, 0.0, 7.0, 12.0, 15.0, 15.0, 8.0, 0.0, 0.0, 1.0, 16.0, 16.0, 16.0, 13.0, 5.0, 0.0, 0.0, 0.0, 0.0, 14.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 14.0, 1.0, 0.0, 0.0, 0.0], [0.0, 1.0, 11.0, 10.0, 8.0, 1.0, 1.0, 0.0, 0.0, 3.0, 15.0, 11.0, 3.0, 12.0, 6.0, 0.0, 0.0, 0.0, 4.0, 16.0, 16.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 5.0, 13.0, 12.0, 12.0, 0.0, 0.0, 0.0, 0.0, 13.0, 7.0, 1.0, 16.0, 4.0, 0.0, 0.0, 1.0, 15.0, 4.0, 7.0, 14.0, 0.0, 0.0, 0.0, 1.0, 14.0, 14.0, 8.0, 1.0, 0.0, 0.0], [0.0, 1.0, 8.0, 13.0, 15.0, 5.0, 0.0, 0.0, 0.0, 8.0, 14.0, 7.0, 16.0, 14.0, 0.0, 0.0, 0.0, 10.0, 12.0, 1.0, 10.0, 16.0, 2.0, 0.0, 0.0, 2.0, 12.0, 14.0, 15.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 4.0, 4.0, 15.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 9.0, 0.0, 0.0, 0.0, 9.0, 7.0, 1.0, 10.0, 12.0, 0.0, 0.0, 0.0, 6.0, 13.0, 16.0, 15.0, 6.0, 0.0], [0.0, 0.0, 4.0, 15.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 14.0, 15.0, 5.0, 0.0, 0.0, 0.0, 8.0, 16.0, 5.0, 3.0, 14.0, 0.0, 0.0, 0.0, 5.0, 11.0, 0.0, 0.0, 10.0, 5.0, 0.0, 0.0, 5.0, 9.0, 0.0, 0.0, 8.0, 8.0, 0.0, 0.0, 0.0, 14.0, 0.0, 0.0, 10.0, 8.0, 0.0, 0.0, 0.0, 14.0, 13.0, 13.0, 16.0, 1.0, 0.0, 0.0, 0.0, 2.0, 14.0, 14.0, 7.0, 0.0, 0.0], [0.0, 0.0, 0.0, 8.0, 12.0, 9.0, 2.0, 0.0, 0.0, 0.0, 5.0, 16.0, 16.0, 16.0, 4.0, 0.0, 0.0, 0.0, 9.0, 16.0, 16.0, 11.0, 0.0, 0.0, 0.0, 3.0, 16.0, 16.0, 16.0, 5.0, 0.0, 0.0, 0.0, 4.0, 16.0, 16.0, 16.0, 4.0, 0.0, 0.0, 0.0, 1.0, 15.0, 16.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 12.0, 6.0, 0.0, 0.0], [0.0, 0.0, 8.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 2.0, 4.0, 14.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 2.0, 15.0, 14.0, 7.0, 6.0, 3.0, 0.0, 0.0, 5.0, 16.0, 15.0, 16.0, 15.0, 3.0, 0.0, 0.0, 0.0, 10.0, 13.0, 8.0, 2.0, 0.0, 0.0], [0.0, 1.0, 8.0, 13.0, 16.0, 13.0, 0.0, 0.0, 0.0, 1.0, 13.0, 12.0, 15.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 15.0, 8.0, 0.0, 0.0, 0.0, 0.0, 5.0, 15.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 11.0, 1.0, 0.0, 0.0, 0.0, 0.0, 2.0, 13.0, 16.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 14.0, 16.0, 4.0, 0.0, 0.0, 0.0, 13.0, 16.0, 15.0, 7.0, 0.0, 0.0], [0.0, 0.0, 0.0, 6.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 15.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 8.0, 0.0, 2.0, 6.0, 0.0, 0.0, 4.0, 15.0, 0.0, 1.0, 13.0, 8.0, 0.0, 0.0, 6.0, 16.0, 2.0, 6.0, 14.0, 1.0, 0.0, 0.0, 8.0, 16.0, 16.0, 16.0, 6.0, 0.0, 0.0, 0.0, 1.0, 5.0, 8.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 11.0, 0.0, 0.0, 0.0], [0.0, 0.0, 8.0, 14.0, 16.0, 16.0, 0.0, 0.0, 0.0, 0.0, 14.0, 13.0, 8.0, 8.0, 0.0, 0.0, 0.0, 2.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 13.0, 16.0, 13.0, 0.0, 0.0, 0.0, 3.0, 16.0, 16.0, 12.0, 16.0, 7.0, 0.0, 0.0, 0.0, 4.0, 1.0, 2.0, 14.0, 6.0, 0.0, 0.0, 0.0, 1.0, 6.0, 16.0, 11.0, 0.0, 0.0, 0.0, 0.0, 11.0, 15.0, 8.0, 1.0, 0.0, 0.0], [0.0, 0.0, 2.0, 15.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 6.0, 4.0, 1.0, 0.0, 0.0, 0.0, 6.0, 16.0, 16.0, 14.0, 16.0, 3.0, 0.0, 0.0, 2.0, 14.0, 9.0, 0.0, 11.0, 9.0, 0.0, 0.0, 0.0, 10.0, 14.0, 8.0, 15.0, 5.0, 0.0, 0.0, 0.0, 3.0, 13.0, 16.0, 8.0, 0.0, 0.0], [0.0, 0.0, 4.0, 16.0, 16.0, 16.0, 3.0, 0.0, 0.0, 0.0, 7.0, 12.0, 13.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 5.0, 0.0, 0.0, 1.0, 4.0, 4.0, 7.0, 16.0, 1.0, 0.0, 0.0, 10.0, 16.0, 16.0, 16.0, 16.0, 9.0, 0.0, 0.0, 5.0, 11.0, 13.0, 16.0, 10.0, 2.0, 0.0, 0.0, 0.0, 0.0, 11.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 13.0, 3.0, 0.0, 0.0, 0.0], [0.0, 2.0, 12.0, 14.0, 3.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 1.0, 0.0, 4.0, 1.0, 0.0, 0.0, 0.0, 13.0, 16.0, 16.0, 15.0, 1.0, 0.0, 0.0, 0.0, 7.0, 16.0, 14.0, 1.0, 0.0, 0.0, 0.0, 0.0, 15.0, 14.0, 16.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 1.0, 15.0, 7.0, 0.0, 0.0, 0.0, 5.0, 16.0, 6.0, 15.0, 7.0, 0.0, 0.0, 0.0, 1.0, 16.0, 14.0, 9.0, 0.0, 0.0, 0.0], [0.0, 0.0, 8.0, 14.0, 12.0, 3.0, 0.0, 0.0, 0.0, 6.0, 16.0, 6.0, 14.0, 14.0, 0.0, 0.0, 0.0, 6.0, 13.0, 0.0, 8.0, 14.0, 0.0, 0.0, 0.0, 2.0, 14.0, 14.0, 14.0, 16.0, 3.0, 0.0, 0.0, 0.0, 2.0, 4.0, 6.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 3.0, 0.0, 0.0, 0.0, 7.0, 16.0, 16.0, 8.0, 0.0, 0.0], [0.0, 0.0, 7.0, 12.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 16.0, 15.0, 4.0, 0.0, 0.0, 0.0, 2.0, 16.0, 9.0, 10.0, 11.0, 0.0, 0.0, 0.0, 6.0, 12.0, 0.0, 0.0, 12.0, 3.0, 0.0, 0.0, 8.0, 12.0, 0.0, 0.0, 6.0, 8.0, 0.0, 0.0, 6.0, 13.0, 0.0, 0.0, 9.0, 8.0, 0.0, 0.0, 1.0, 16.0, 13.0, 15.0, 16.0, 3.0, 0.0, 0.0, 0.0, 6.0, 15.0, 9.0, 3.0, 0.0, 0.0], [0.0, 0.0, 6.0, 12.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 16.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 16.0, 14.0, 2.0, 0.0, 0.0, 0.0, 1.0, 15.0, 16.0, 11.0, 2.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 14.0, 5.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 16.0, 14.0, 0.0, 0.0, 0.0, 0.0, 4.0, 11.0, 12.0, 8.0, 0.0, 0.0], [0.0, 0.0, 10.0, 13.0, 8.0, 1.0, 0.0, 0.0, 0.0, 0.0, 16.0, 16.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 6.0, 1.0, 11.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 15.0, 4.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 16.0, 16.0, 15.0, 4.0, 0.0, 0.0, 2.0, 10.0, 11.0, 7.0, 2.0, 0.0, 0.0], [0.0, 4.0, 13.0, 16.0, 16.0, 7.0, 0.0, 0.0, 0.0, 8.0, 12.0, 16.0, 16.0, 13.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 15.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 11.0, 9.0, 2.0, 0.0, 0.0, 0.0, 0.0, 1.0, 7.0, 15.0, 13.0, 2.0, 0.0, 0.0, 0.0, 3.0, 4.0, 7.0, 16.0, 10.0, 0.0, 0.0, 2.0, 11.0, 15.0, 11.0, 8.0, 2.0, 0.0], [0.0, 0.0, 0.0, 2.0, 14.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 9.0, 0.0, 4.0, 4.0, 0.0, 0.0, 4.0, 14.0, 1.0, 1.0, 15.0, 8.0, 0.0, 0.0, 4.0, 16.0, 5.0, 11.0, 16.0, 2.0, 0.0, 0.0, 6.0, 16.0, 16.0, 16.0, 11.0, 0.0, 0.0, 0.0, 0.0, 4.0, 0.0, 12.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 13.0, 1.0, 0.0, 0.0], [0.0, 0.0, 3.0, 10.0, 15.0, 8.0, 0.0, 0.0, 0.0, 0.0, 12.0, 14.0, 8.0, 1.0, 0.0, 0.0, 0.0, 1.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 9.0, 11.0, 16.0, 3.0, 0.0, 0.0, 4.0, 16.0, 14.0, 9.0, 15.0, 7.0, 0.0, 0.0, 1.0, 4.0, 0.0, 0.0, 15.0, 3.0, 0.0, 0.0, 0.0, 0.0, 3.0, 12.0, 8.0, 0.0, 0.0, 0.0, 0.0, 2.0, 10.0, 8.0, 0.0, 0.0, 0.0], [0.0, 0.0, 1.0, 12.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 10.0, 1.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 16.0, 15.0, 7.0, 0.0, 0.0, 0.0, 6.0, 16.0, 9.0, 9.0, 16.0, 3.0, 0.0, 0.0, 0.0, 8.0, 16.0, 13.0, 15.0, 11.0, 0.0, 0.0, 0.0, 1.0, 10.0, 15.0, 14.0, 4.0, 0.0], [0.0, 0.0, 5.0, 14.0, 16.0, 16.0, 3.0, 0.0, 0.0, 0.0, 7.0, 16.0, 16.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 0.0, 0.0, 0.0, 0.0, 9.0, 14.0, 16.0, 16.0, 13.0, 0.0, 0.0, 2.0, 16.0, 16.0, 15.0, 7.0, 1.0, 0.0, 0.0, 0.0, 1.0, 14.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 13.0, 0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 15.0, 13.0, 0.0, 3.0, 3.0, 0.0, 0.0, 0.0, 15.0, 15.0, 8.0, 15.0, 5.0, 0.0, 0.0, 0.0, 8.0, 16.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 12.0, 12.0, 15.0, 10.0, 0.0, 0.0, 0.0, 3.0, 16.0, 0.0, 10.0, 15.0, 1.0, 0.0, 0.0, 2.0, 16.0, 5.0, 7.0, 15.0, 3.0, 0.0, 0.0, 1.0, 12.0, 16.0, 15.0, 7.0, 0.0, 0.0], [0.0, 0.0, 4.0, 13.0, 13.0, 4.0, 0.0, 0.0, 0.0, 0.0, 16.0, 10.0, 10.0, 8.0, 0.0, 0.0, 0.0, 0.0, 14.0, 7.0, 6.0, 11.0, 0.0, 0.0, 0.0, 0.0, 6.0, 15.0, 15.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 9.0, 0.0, 0.0, 1.0, 4.0, 4.0, 6.0, 12.0, 10.0, 0.0, 0.0, 1.0, 6.0, 11.0, 15.0, 12.0, 1.0, 0.0], [0.0, 0.0, 7.0, 12.0, 13.0, 2.0, 0.0, 0.0, 0.0, 0.0, 14.0, 13.0, 8.0, 13.0, 0.0, 0.0, 0.0, 3.0, 16.0, 1.0, 0.0, 11.0, 2.0, 0.0, 0.0, 4.0, 14.0, 0.0, 0.0, 5.0, 8.0, 0.0, 0.0, 5.0, 8.0, 0.0, 0.0, 5.0, 8.0, 0.0, 0.0, 4.0, 16.0, 0.0, 2.0, 14.0, 7.0, 0.0, 0.0, 2.0, 16.0, 10.0, 14.0, 15.0, 1.0, 0.0, 0.0, 0.0, 6.0, 14.0, 14.0, 4.0, 0.0, 0.0], [0.0, 0.0, 5.0, 14.0, 11.0, 3.0, 0.0, 0.0, 0.0, 1.0, 15.0, 8.0, 13.0, 10.0, 0.0, 0.0, 0.0, 1.0, 15.0, 9.0, 9.0, 15.0, 2.0, 0.0, 0.0, 0.0, 10.0, 16.0, 16.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 4.0, 0.0, 0.0, 0.0, 7.0, 5.0, 9.0, 16.0, 0.0, 0.0, 0.0, 0.0, 6.0, 12.0, 13.0, 9.0, 0.0, 0.0], [0.0, 0.0, 15.0, 16.0, 12.0, 5.0, 0.0, 0.0, 0.0, 1.0, 16.0, 15.0, 11.0, 7.0, 0.0, 0.0, 0.0, 4.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 14.0, 12.0, 7.0, 0.0, 0.0, 0.0, 7.0, 16.0, 14.0, 10.0, 16.0, 3.0, 0.0, 0.0, 0.0, 1.0, 0.0, 10.0, 16.0, 4.0, 0.0, 0.0, 0.0, 1.0, 10.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 13.0, 15.0, 5.0, 0.0, 0.0, 0.0], [0.0, 0.0, 4.0, 9.0, 12.0, 16.0, 8.0, 0.0, 0.0, 0.0, 15.0, 15.0, 8.0, 8.0, 2.0, 0.0, 0.0, 4.0, 16.0, 11.0, 4.0, 1.0, 0.0, 0.0, 0.0, 8.0, 16.0, 16.0, 16.0, 14.0, 0.0, 0.0, 0.0, 0.0, 11.0, 9.0, 8.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 12.0, 0.0, 0.0, 0.0, 0.0, 3.0, 13.0, 9.0, 1.0, 0.0, 0.0], [0.0, 0.0, 4.0, 14.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 16.0, 15.0, 4.0, 0.0, 0.0, 0.0, 4.0, 16.0, 9.0, 4.0, 16.0, 2.0, 0.0, 0.0, 1.0, 15.0, 13.0, 6.0, 16.0, 11.0, 0.0, 0.0, 0.0, 4.0, 13.0, 16.0, 15.0, 5.0, 0.0], [0.0, 0.0, 7.0, 11.0, 13.0, 8.0, 1.0, 0.0, 0.0, 1.0, 15.0, 9.0, 8.0, 6.0, 0.0, 0.0, 0.0, 10.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 16.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 6.0, 5.0, 10.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 14.0, 16.0, 0.0, 0.0, 0.0, 0.0, 6.0, 14.0, 14.0, 4.0, 0.0, 0.0, 0.0, 1.0, 10.0, 14.0, 2.0, 0.0, 0.0, 0.0], [0.0, 0.0, 4.0, 14.0, 11.0, 3.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 12.0, 14.0, 1.0, 0.0, 0.0, 1.0, 14.0, 12.0, 0.0, 13.0, 3.0, 0.0, 0.0, 5.0, 16.0, 6.0, 0.0, 8.0, 6.0, 0.0, 0.0, 8.0, 16.0, 0.0, 0.0, 9.0, 8.0, 0.0, 0.0, 7.0, 16.0, 3.0, 7.0, 16.0, 5.0, 0.0, 0.0, 3.0, 15.0, 13.0, 16.0, 15.0, 2.0, 0.0, 0.0, 0.0, 4.0, 15.0, 12.0, 2.0, 0.0, 0.0], [0.0, 0.0, 12.0, 16.0, 14.0, 8.0, 0.0, 0.0, 0.0, 7.0, 16.0, 10.0, 14.0, 16.0, 0.0, 0.0, 0.0, 4.0, 16.0, 11.0, 14.0, 16.0, 4.0, 0.0, 0.0, 0.0, 5.0, 14.0, 16.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 6.0, 0.0, 0.0, 2.0, 12.0, 9.0, 16.0, 15.0, 1.0, 0.0, 0.0, 1.0, 9.0, 16.0, 14.0, 3.0, 0.0, 0.0], [0.0, 0.0, 7.0, 14.0, 11.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 13.0, 2.0, 2.0, 1.0, 0.0, 0.0, 3.0, 16.0, 9.0, 4.0, 13.0, 4.0, 0.0, 0.0, 0.0, 7.0, 16.0, 16.0, 14.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 16.0, 9.0, 10.0, 15.0, 0.0, 0.0, 0.0, 1.0, 16.0, 2.0, 5.0, 16.0, 4.0, 0.0, 0.0, 0.0, 7.0, 15.0, 16.0, 16.0, 3.0, 0.0], [0.0, 0.0, 9.0, 16.0, 14.0, 6.0, 0.0, 0.0, 0.0, 6.0, 16.0, 5.0, 10.0, 16.0, 0.0, 0.0, 0.0, 2.0, 15.0, 7.0, 10.0, 16.0, 3.0, 0.0, 0.0, 0.0, 4.0, 8.0, 12.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 8.0, 0.0, 0.0, 0.0, 3.0, 0.0, 8.0, 16.0, 1.0, 0.0, 0.0, 0.0, 10.0, 16.0, 13.0, 4.0, 0.0, 0.0], [0.0, 1.0, 15.0, 14.0, 2.0, 0.0, 0.0, 0.0, 0.0, 6.0, 14.0, 0.0, 0.0, 3.0, 2.0, 0.0, 0.0, 2.0, 16.0, 3.0, 2.0, 13.0, 3.0, 0.0, 0.0, 0.0, 11.0, 14.0, 15.0, 9.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 13.0, 14.0, 0.0, 0.0, 0.0, 0.0, 2.0, 15.0, 4.0, 16.0, 3.0, 0.0, 0.0, 0.0, 1.0, 15.0, 16.0, 12.0, 1.0, 0.0, 0.0], [0.0, 0.0, 0.0, 5.0, 12.0, 0.0, 2.0, 1.0, 0.0, 0.0, 1.0, 14.0, 4.0, 1.0, 14.0, 8.0, 0.0, 0.0, 10.0, 8.0, 0.0, 9.0, 15.0, 1.0, 0.0, 1.0, 15.0, 1.0, 2.0, 15.0, 8.0, 0.0, 0.0, 5.0, 16.0, 6.0, 11.0, 16.0, 2.0, 0.0, 0.0, 5.0, 16.0, 16.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 15.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 11.0, 0.0, 0.0, 0.0], [0.0, 0.0, 3.0, 14.0, 15.0, 9.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 16.0, 13.0, 0.0, 0.0, 0.0, 2.0, 13.0, 16.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 12.0, 16.0, 16.0, 4.0, 0.0, 0.0, 0.0, 2.0, 13.0, 16.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 12.0, 16.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 16.0, 16.0, 6.0, 0.0, 0.0, 0.0, 2.0, 10.0, 16.0, 16.0, 2.0, 0.0], [0.0, 0.0, 3.0, 12.0, 16.0, 16.0, 15.0, 0.0, 0.0, 0.0, 9.0, 10.0, 7.0, 12.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 15.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 13.0, 0.0, 0.0, 0.0, 1.0, 9.0, 9.0, 16.0, 11.0, 1.0, 0.0, 0.0, 13.0, 16.0, 16.0, 16.0, 16.0, 4.0, 0.0, 0.0, 0.0, 1.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 2.0, 0.0, 0.0, 0.0], [0.0, 0.0, 1.0, 11.0, 16.0, 16.0, 8.0, 0.0, 0.0, 0.0, 5.0, 11.0, 9.0, 16.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 6.0, 0.0, 0.0, 0.0, 6.0, 9.0, 12.0, 16.0, 9.0, 0.0, 0.0, 1.0, 16.0, 16.0, 16.0, 14.0, 3.0, 0.0, 0.0, 0.0, 3.0, 5.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 5.0, 0.0, 0.0, 0.0], [0.0, 0.0, 8.0, 14.0, 16.0, 16.0, 15.0, 1.0, 0.0, 0.0, 6.0, 6.0, 5.0, 12.0, 12.0, 1.0, 0.0, 0.0, 0.0, 2.0, 11.0, 12.0, 3.0, 0.0, 0.0, 0.0, 5.0, 14.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 11.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 2.0, 7.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 9.0, 13.0, 5.0, 0.0, 0.0, 0.0], [0.0, 0.0, 8.0, 12.0, 15.0, 16.0, 5.0, 0.0, 0.0, 0.0, 10.0, 11.0, 2.0, 3.0, 0.0, 0.0, 0.0, 0.0, 13.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 10.0, 12.0, 11.0, 1.0, 0.0, 0.0, 1.0, 16.0, 13.0, 8.0, 14.0, 7.0, 0.0, 0.0, 0.0, 1.0, 0.0, 0.0, 13.0, 3.0, 0.0, 0.0, 0.0, 1.0, 6.0, 12.0, 10.0, 0.0, 0.0, 0.0, 0.0, 10.0, 10.0, 7.0, 0.0, 0.0, 0.0], [0.0, 0.0, 1.0, 7.0, 10.0, 3.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 16.0, 12.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 16.0, 12.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 14.0, 16.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0, 12.0, 16.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 1.0, 9.0, 12.0, 9.0, 0.0, 0.0], [0.0, 0.0, 10.0, 12.0, 14.0, 1.0, 0.0, 0.0, 0.0, 0.0, 16.0, 16.0, 16.0, 12.0, 0.0, 0.0, 0.0, 5.0, 16.0, 8.0, 3.0, 16.0, 0.0, 0.0, 0.0, 8.0, 13.0, 0.0, 0.0, 8.0, 7.0, 0.0, 0.0, 8.0, 12.0, 0.0, 0.0, 6.0, 8.0, 0.0, 0.0, 8.0, 13.0, 0.0, 4.0, 12.0, 8.0, 0.0, 0.0, 7.0, 16.0, 16.0, 16.0, 13.0, 0.0, 0.0, 0.0, 0.0, 11.0, 14.0, 8.0, 1.0, 0.0, 0.0], [0.0, 0.0, 5.0, 12.0, 1.0, 6.0, 0.0, 0.0, 0.0, 0.0, 11.0, 12.0, 0.0, 16.0, 2.0, 0.0, 0.0, 0.0, 16.0, 5.0, 0.0, 12.0, 4.0, 0.0, 0.0, 3.0, 15.0, 0.0, 0.0, 8.0, 4.0, 0.0, 0.0, 7.0, 12.0, 0.0, 0.0, 4.0, 7.0, 0.0, 0.0, 2.0, 15.0, 1.0, 1.0, 12.0, 5.0, 0.0, 0.0, 0.0, 16.0, 11.0, 12.0, 15.0, 3.0, 0.0, 0.0, 0.0, 4.0, 12.0, 12.0, 3.0, 0.0, 0.0], [0.0, 0.0, 13.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 9.0, 13.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 13.0, 15.0, 8.0, 12.0, 11.0, 0.0, 0.0, 0.0, 12.0, 16.0, 16.0, 12.0, 2.0, 0.0], [0.0, 5.0, 15.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 16.0, 11.0, 0.0, 0.0, 0.0, 0.0, 6.0, 10.0, 11.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 16.0, 15.0, 12.0, 11.0, 0.0, 0.0, 6.0, 16.0, 16.0, 16.0, 13.0, 3.0, 0.0], [0.0, 0.0, 7.0, 14.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 14.0, 14.0, 16.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 12.0, 0.0, 0.0, 0.0, 0.0, 4.0, 4.0, 14.0, 9.0, 2.0, 0.0, 0.0, 7.0, 16.0, 16.0, 16.0, 16.0, 7.0, 0.0, 0.0, 6.0, 12.0, 16.0, 11.0, 1.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 13.0, 0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 6.0, 14.0, 9.0, 5.0, 2.0, 0.0, 0.0, 7.0, 15.0, 6.0, 2.0, 12.0, 8.0, 0.0, 0.0, 5.0, 15.0, 2.0, 8.0, 15.0, 1.0, 0.0, 0.0, 1.0, 12.0, 14.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 10.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 9.0, 2.0, 13.0, 8.0, 0.0, 0.0, 0.0, 0.0, 5.0, 14.0, 11.0, 3.0, 0.0, 0.0], [0.0, 4.0, 15.0, 11.0, 1.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 2.0, 6.0, 13.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 13.0, 16.0, 13.0, 12.0, 6.0, 0.0, 0.0, 5.0, 16.0, 15.0, 16.0, 12.0, 3.0, 0.0], [0.0, 0.0, 9.0, 13.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 16.0, 16.0, 12.0, 0.0, 0.0, 0.0, 2.0, 16.0, 7.0, 6.0, 15.0, 3.0, 0.0, 0.0, 8.0, 14.0, 0.0, 0.0, 8.0, 3.0, 0.0, 0.0, 5.0, 14.0, 0.0, 0.0, 8.0, 8.0, 0.0, 0.0, 2.0, 16.0, 13.0, 11.0, 14.0, 4.0, 0.0, 0.0, 3.0, 16.0, 15.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 6.0, 14.0, 8.0, 0.0, 0.0, 0.0], [0.0, 0.0, 5.0, 11.0, 12.0, 5.0, 0.0, 0.0, 0.0, 0.0, 12.0, 6.0, 2.0, 3.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 12.0, 16.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 12.0, 16.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 12.0, 16.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 12.0, 16.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 6.0, 12.0, 11.0, 7.0, 0.0, 0.0], [0.0, 2.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 3.0, 10.0, 12.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 15.0, 15.0, 12.0, 5.0, 0.0, 0.0, 2.0, 16.0, 16.0, 16.0, 16.0, 15.0, 2.0, 0.0, 2.0, 15.0, 14.0, 12.0, 12.0, 7.0, 0.0], [0.0, 0.0, 1.0, 13.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 10.0, 2.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 16.0, 16.0, 10.0, 1.0, 0.0, 0.0, 4.0, 16.0, 6.0, 2.0, 14.0, 7.0, 0.0, 0.0, 0.0, 11.0, 15.0, 12.0, 15.0, 8.0, 0.0, 0.0, 0.0, 2.0, 14.0, 15.0, 6.0, 0.0, 0.0], [0.0, 0.0, 5.0, 13.0, 16.0, 10.0, 1.0, 0.0, 0.0, 7.0, 16.0, 16.0, 16.0, 16.0, 7.0, 0.0, 0.0, 0.0, 5.0, 2.0, 11.0, 14.0, 5.0, 0.0, 0.0, 0.0, 0.0, 10.0, 15.0, 6.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 13.0, 2.0, 0.0, 0.0, 0.0, 0.0, 4.0, 11.0, 15.0, 14.0, 0.0, 0.0, 0.0, 0.0, 2.0, 2.0, 13.0, 16.0, 1.0, 0.0, 0.0, 0.0, 5.0, 14.0, 15.0, 9.0, 0.0, 0.0], [0.0, 0.0, 6.0, 11.0, 16.0, 13.0, 5.0, 0.0, 0.0, 2.0, 16.0, 16.0, 16.0, 16.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 10.0, 15.0, 5.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 16.0, 13.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 14.0, 0.0, 0.0, 0.0, 0.0, 5.0, 14.0, 11.0, 6.0, 0.0, 0.0], [0.0, 0.0, 2.0, 14.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 4.0, 12.0, 16.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 9.0, 0.0, 0.0, 0.0, 2.0, 5.0, 10.0, 16.0, 12.0, 2.0, 0.0, 0.0, 16.0, 16.0, 16.0, 16.0, 14.0, 3.0, 0.0, 0.0, 4.0, 4.0, 14.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 7.0, 0.0, 0.0, 0.0], [0.0, 0.0, 4.0, 12.0, 13.0, 1.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 16.0, 11.0, 4.0, 0.0, 0.0, 0.0, 0.0, 4.0, 8.0, 16.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 14.0, 14.0, 0.0, 0.0, 0.0, 0.0, 4.0, 15.0, 16.0, 11.0, 0.0, 0.0, 0.0, 5.0, 16.0, 14.0, 8.0, 0.0, 0.0], [0.0, 1.0, 9.0, 16.0, 16.0, 12.0, 1.0, 0.0, 0.0, 0.0, 7.0, 8.0, 10.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 4.0, 0.0, 0.0, 0.0, 5.0, 13.0, 13.0, 3.0, 0.0, 0.0, 0.0, 0.0, 13.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 3.0, 5.0, 14.0, 15.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 11.0, 4.0, 0.0, 0.0], [0.0, 0.0, 0.0, 2.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 12.0, 0.0, 0.0, 13.0, 5.0, 0.0, 0.0, 13.0, 8.0, 0.0, 9.0, 14.0, 0.0, 0.0, 4.0, 16.0, 16.0, 12.0, 16.0, 4.0, 0.0, 0.0, 4.0, 12.0, 12.0, 15.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 15.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 10.0, 0.0, 0.0, 0.0], [0.0, 0.0, 4.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 12.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 11.0, 2.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 16.0, 16.0, 13.0, 1.0, 0.0, 0.0, 2.0, 16.0, 14.0, 15.0, 16.0, 5.0, 0.0, 0.0, 0.0, 5.0, 15.0, 14.0, 7.0, 0.0, 0.0], [0.0, 0.0, 5.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 14.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 9.0, 1.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 16.0, 16.0, 9.0, 0.0, 0.0, 0.0, 1.0, 16.0, 10.0, 8.0, 16.0, 6.0, 0.0, 0.0, 0.0, 12.0, 14.0, 5.0, 9.0, 13.0, 0.0, 0.0, 0.0, 4.0, 15.0, 15.0, 12.0, 3.0, 0.0], [0.0, 0.0, 3.0, 14.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 2.0, 5.0, 2.0, 0.0, 0.0, 0.0, 4.0, 16.0, 2.0, 12.0, 15.0, 2.0, 0.0, 0.0, 1.0, 14.0, 13.0, 2.0, 13.0, 11.0, 0.0, 0.0, 0.0, 3.0, 11.0, 16.0, 13.0, 4.0, 0.0], [0.0, 0.0, 0.0, 1.0, 15.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 9.0, 0.0, 6.0, 0.0, 0.0, 0.0, 6.0, 15.0, 1.0, 11.0, 15.0, 0.0, 0.0, 5.0, 16.0, 14.0, 10.0, 16.0, 8.0, 0.0, 1.0, 15.0, 16.0, 16.0, 16.0, 16.0, 3.0, 0.0, 0.0, 3.0, 7.0, 5.0, 13.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 3.0, 0.0, 0.0], [0.0, 0.0, 10.0, 16.0, 9.0, 1.0, 0.0, 0.0, 0.0, 7.0, 16.0, 9.0, 14.0, 11.0, 0.0, 0.0, 0.0, 8.0, 14.0, 1.0, 7.0, 14.0, 2.0, 0.0, 0.0, 2.0, 14.0, 14.0, 14.0, 15.0, 3.0, 0.0, 0.0, 0.0, 2.0, 4.0, 4.0, 16.0, 4.0, 0.0, 0.0, 0.0, 3.0, 0.0, 0.0, 13.0, 9.0, 0.0, 0.0, 2.0, 15.0, 8.0, 8.0, 14.0, 8.0, 0.0, 0.0, 0.0, 8.0, 15.0, 13.0, 10.0, 0.0, 0.0], [0.0, 0.0, 11.0, 15.0, 12.0, 1.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 12.0, 16.0, 16.0, 16.0, 1.0, 0.0, 0.0, 0.0, 13.0, 16.0, 16.0, 13.0, 2.0, 0.0, 0.0, 0.0, 14.0, 16.0, 16.0, 4.0, 0.0, 0.0, 0.0, 2.0, 16.0, 16.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 16.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 13.0, 1.0, 0.0, 0.0], [0.0, 0.0, 7.0, 12.0, 16.0, 9.0, 0.0, 0.0, 0.0, 4.0, 16.0, 6.0, 7.0, 3.0, 0.0, 0.0, 0.0, 4.0, 16.0, 2.0, 8.0, 3.0, 0.0, 0.0, 0.0, 7.0, 16.0, 15.0, 13.0, 16.0, 3.0, 0.0, 0.0, 5.0, 11.0, 1.0, 1.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 10.0, 11.0, 4.0, 0.0, 0.0, 0.0], [0.0, 0.0, 10.0, 11.0, 7.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 16.0, 16.0, 10.0, 0.0, 0.0, 0.0, 4.0, 16.0, 6.0, 5.0, 15.0, 2.0, 0.0, 0.0, 8.0, 12.0, 0.0, 0.0, 5.0, 8.0, 0.0, 0.0, 8.0, 10.0, 0.0, 0.0, 5.0, 8.0, 0.0, 0.0, 6.0, 13.0, 1.0, 5.0, 14.0, 5.0, 0.0, 0.0, 0.0, 14.0, 13.0, 15.0, 11.0, 1.0, 0.0, 0.0, 0.0, 7.0, 12.0, 8.0, 0.0, 0.0, 0.0], [0.0, 0.0, 8.0, 16.0, 11.0, 0.0, 0.0, 0.0, 0.0, 2.0, 15.0, 8.0, 16.0, 7.0, 0.0, 0.0, 0.0, 3.0, 13.0, 1.0, 14.0, 13.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 16.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 2.0, 5.0, 15.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 6.0, 0.0, 0.0, 0.0, 5.0, 6.0, 5.0, 15.0, 4.0, 0.0, 0.0, 0.0, 6.0, 15.0, 16.0, 12.0, 1.0, 0.0], [0.0, 0.0, 3.0, 10.0, 16.0, 12.0, 0.0, 0.0, 0.0, 0.0, 13.0, 12.0, 0.0, 2.0, 0.0, 0.0, 0.0, 4.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 14.0, 16.0, 14.0, 2.0, 0.0, 0.0, 6.0, 16.0, 12.0, 5.0, 16.0, 5.0, 0.0, 0.0, 1.0, 12.0, 1.0, 0.0, 14.0, 7.0, 0.0, 0.0, 0.0, 0.0, 3.0, 13.0, 13.0, 1.0, 0.0, 0.0, 0.0, 1.0, 13.0, 10.0, 1.0, 0.0, 0.0], [0.0, 4.0, 15.0, 15.0, 8.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 16.0, 16.0, 3.0, 0.0, 0.0, 0.0, 1.0, 0.0, 1.0, 15.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 15.0, 2.0, 0.0, 0.0, 0.0, 0.0, 4.0, 15.0, 16.0, 14.0, 6.0, 0.0, 0.0, 6.0, 16.0, 16.0, 15.0, 11.0, 3.0, 0.0, 0.0, 7.0, 14.0, 11.0, 0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 7.0, 12.0, 10.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 16.0, 16.0, 9.0, 1.0, 0.0, 0.0, 0.0, 8.0, 16.0, 16.0, 11.0, 1.0, 0.0, 0.0, 0.0, 10.0, 16.0, 16.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 14.0, 16.0, 4.0, 0.0, 0.0, 0.0, 4.0, 13.0, 0.0, 7.0, 15.0, 0.0, 0.0, 0.0, 4.0, 14.0, 2.0, 2.0, 16.0, 0.0, 0.0, 0.0, 0.0, 6.0, 11.0, 10.0, 5.0, 0.0, 0.0], [0.0, 2.0, 11.0, 16.0, 13.0, 2.0, 0.0, 0.0, 0.0, 11.0, 15.0, 12.0, 16.0, 7.0, 0.0, 0.0, 0.0, 7.0, 6.0, 0.0, 14.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 4.0, 3.0, 3.0, 0.0, 0.0, 3.0, 15.0, 16.0, 15.0, 15.0, 11.0, 0.0, 0.0, 2.0, 13.0, 12.0, 9.0, 0.0, 0.0, 0.0], [0.0, 0.0, 7.0, 14.0, 8.0, 4.0, 0.0, 0.0, 0.0, 0.0, 16.0, 8.0, 15.0, 14.0, 1.0, 0.0, 0.0, 4.0, 16.0, 4.0, 0.0, 8.0, 4.0, 0.0, 0.0, 8.0, 14.0, 0.0, 0.0, 4.0, 4.0, 0.0, 0.0, 8.0, 16.0, 0.0, 0.0, 4.0, 5.0, 0.0, 0.0, 3.0, 16.0, 1.0, 0.0, 11.0, 4.0, 0.0, 0.0, 0.0, 15.0, 16.0, 16.0, 12.0, 0.0, 0.0, 0.0, 0.0, 6.0, 13.0, 7.0, 0.0, 0.0, 0.0], [0.0, 0.0, 9.0, 15.0, 6.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 16.0, 16.0, 7.0, 0.0, 0.0, 0.0, 4.0, 14.0, 5.0, 11.0, 13.0, 0.0, 0.0, 0.0, 7.0, 12.0, 0.0, 0.0, 12.0, 4.0, 0.0, 0.0, 8.0, 11.0, 0.0, 0.0, 7.0, 5.0, 0.0, 0.0, 4.0, 13.0, 1.0, 1.0, 10.0, 6.0, 0.0, 0.0, 2.0, 16.0, 15.0, 15.0, 14.0, 1.0, 0.0, 0.0, 0.0, 8.0, 15.0, 11.0, 4.0, 0.0, 0.0], [0.0, 0.0, 4.0, 12.0, 12.0, 7.0, 0.0, 0.0, 0.0, 0.0, 16.0, 16.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 16.0, 16.0, 16.0, 16.0, 0.0, 0.0, 0.0, 4.0, 16.0, 16.0, 16.0, 12.0, 0.0, 0.0, 0.0, 4.0, 16.0, 16.0, 16.0, 12.0, 0.0, 0.0, 0.0, 3.0, 15.0, 16.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 12.0, 16.0, 16.0, 8.0, 0.0, 0.0, 0.0, 1.0, 7.0, 12.0, 11.0, 5.0, 0.0, 0.0], [0.0, 0.0, 6.0, 15.0, 14.0, 1.0, 0.0, 0.0, 0.0, 0.0, 13.0, 16.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 3.0, 8.0, 16.0, 2.0, 0.0, 0.0, 0.0, 2.0, 6.0, 12.0, 16.0, 7.0, 2.0, 0.0, 0.0, 13.0, 16.0, 16.0, 16.0, 16.0, 9.0, 0.0, 0.0, 10.0, 13.0, 16.0, 7.0, 1.0, 0.0, 0.0, 0.0, 0.0, 6.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 8.0, 0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 13.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 15.0, 15.0, 6.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 14.0, 13.0, 10.0, 2.0, 0.0, 0.0, 0.0, 12.0, 16.0, 13.0, 16.0, 12.0, 0.0, 0.0, 0.0, 1.0, 10.0, 16.0, 14.0, 4.0, 0.0], [0.0, 0.0, 7.0, 16.0, 16.0, 15.0, 8.0, 0.0, 0.0, 0.0, 12.0, 15.0, 15.0, 16.0, 11.0, 0.0, 0.0, 0.0, 0.0, 3.0, 14.0, 15.0, 2.0, 0.0, 0.0, 0.0, 1.0, 14.0, 12.0, 1.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 15.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 12.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 12.0, 14.0, 1.0, 0.0, 0.0, 0.0, 10.0, 15.0, 10.0, 4.0, 0.0, 0.0], [0.0, 0.0, 11.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 6.0, 15.0, 16.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 11.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 15.0, 2.0, 0.0, 0.0, 0.0, 1.0, 9.0, 15.0, 9.0, 3.0, 0.0, 0.0, 0.0, 0.0, 16.0, 16.0, 16.0, 16.0, 7.0, 0.0, 0.0, 0.0, 10.0, 13.0, 8.0, 4.0, 1.0, 0.0], [0.0, 0.0, 4.0, 10.0, 12.0, 7.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 16.0, 15.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 16.0, 12.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 2.0, 14.0, 16.0, 11.0, 1.0, 0.0, 0.0, 0.0, 0.0, 16.0, 16.0, 16.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 16.0, 12.0, 0.0, 0.0, 0.0, 0.0, 1.0, 9.0, 10.0, 0.0, 0.0, 0.0], [0.0, 0.0, 1.0, 15.0, 15.0, 2.0, 0.0, 0.0, 0.0, 0.0, 3.0, 12.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 3.0, 8.0, 16.0, 4.0, 0.0, 0.0, 0.0, 10.0, 16.0, 16.0, 16.0, 16.0, 8.0, 0.0, 0.0, 8.0, 11.0, 14.0, 14.0, 5.0, 1.0, 0.0, 0.0, 0.0, 0.0, 15.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 15.0, 2.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 0.0, 13.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 10.0, 2.0, 9.0, 0.0, 0.0, 1.0, 11.0, 13.0, 0.0, 10.0, 15.0, 0.0, 0.0, 12.0, 15.0, 5.0, 7.0, 14.0, 10.0, 0.0, 1.0, 15.0, 16.0, 16.0, 16.0, 16.0, 4.0, 0.0, 0.0, 4.0, 4.0, 3.0, 10.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 7.0, 0.0, 0.0], [0.0, 0.0, 0.0, 8.0, 15.0, 3.0, 0.0, 0.0, 0.0, 0.0, 1.0, 15.0, 11.0, 2.0, 0.0, 0.0, 0.0, 0.0, 13.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 15.0, 5.0, 0.0, 0.0, 0.0, 0.0, 3.0, 15.0, 16.0, 11.0, 14.0, 7.0, 0.0, 0.0, 0.0, 11.0, 16.0, 6.0, 6.0, 15.0, 0.0, 0.0, 0.0, 0.0, 10.0, 14.0, 12.0, 8.0, 0.0], [0.0, 0.0, 10.0, 15.0, 15.0, 11.0, 4.0, 0.0, 0.0, 1.0, 10.0, 5.0, 7.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 1.0, 14.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 10.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 7.0, 15.0, 3.0, 0.0, 0.0, 0.0, 6.0, 11.0, 16.0, 8.0, 0.0, 0.0], [0.0, 0.0, 4.0, 16.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 16.0, 15.0, 1.0, 0.0, 0.0, 0.0, 4.0, 16.0, 16.0, 12.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 16.0, 15.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 16.0, 6.0, 0.0, 0.0, 0.0, 1.0, 13.0, 16.0, 16.0, 4.0, 0.0, 0.0, 0.0, 3.0, 16.0, 16.0, 15.0, 2.0, 0.0, 0.0, 0.0, 0.0, 6.0, 12.0, 12.0, 2.0, 0.0, 0.0], [0.0, 0.0, 3.0, 13.0, 16.0, 5.0, 0.0, 0.0, 0.0, 6.0, 15.0, 9.0, 15.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 7.0, 14.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 16.0, 14.0, 3.0, 0.0, 0.0, 0.0, 0.0, 3.0, 2.0, 15.0, 10.0, 0.0, 0.0, 0.0, 4.0, 5.0, 12.0, 16.0, 14.0, 0.0, 0.0, 0.0, 5.0, 13.0, 14.0, 8.0, 2.0, 0.0], [0.0, 0.0, 7.0, 16.0, 9.0, 8.0, 2.0, 0.0, 0.0, 5.0, 16.0, 14.0, 16.0, 16.0, 4.0, 0.0, 0.0, 8.0, 14.0, 0.0, 6.0, 16.0, 4.0, 0.0, 0.0, 1.0, 16.0, 16.0, 15.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 4.0, 4.0, 13.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 8.0, 0.0, 0.0, 0.0, 12.0, 9.0, 11.0, 16.0, 7.0, 0.0, 0.0, 0.0, 7.0, 15.0, 14.0, 7.0, 0.0, 0.0], [0.0, 0.0, 1.0, 12.0, 10.0, 3.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 12.0, 16.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 14.0, 16.0, 16.0, 2.0, 0.0, 0.0, 0.0, 1.0, 15.0, 16.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 15.0, 16.0, 15.0, 2.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 1.0, 7.0, 12.0, 10.0, 0.0, 0.0], [0.0, 0.0, 1.0, 10.0, 16.0, 16.0, 1.0, 0.0, 0.0, 0.0, 9.0, 16.0, 13.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 12.0, 12.0, 5.0, 0.0, 0.0, 0.0, 7.0, 16.0, 16.0, 10.0, 4.0, 0.0, 0.0, 0.0, 3.0, 11.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 2.0, 13.0, 13.0, 1.0, 0.0, 0.0, 0.0, 0.0, 12.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 9.0, 3.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 14.0, 12.0, 13.0, 4.0, 0.0, 0.0, 0.0, 14.0, 10.0, 0.0, 10.0, 15.0, 0.0, 0.0, 0.0, 2.0, 12.0, 16.0, 13.0, 7.0, 0.0], [0.0, 0.0, 5.0, 12.0, 13.0, 4.0, 0.0, 0.0, 0.0, 3.0, 16.0, 10.0, 2.0, 5.0, 9.0, 0.0, 0.0, 0.0, 15.0, 14.0, 11.0, 15.0, 3.0, 0.0, 0.0, 0.0, 7.0, 16.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 8.0, 14.0, 13.0, 12.0, 0.0, 0.0, 0.0, 0.0, 12.0, 12.0, 13.0, 11.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 11.0, 2.0, 0.0, 0.0], [0.0, 0.0, 0.0, 3.0, 13.0, 7.0, 0.0, 0.0, 0.0, 0.0, 1.0, 14.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 12.0, 1.0, 2.0, 3.0, 0.0, 0.0, 7.0, 16.0, 4.0, 1.0, 15.0, 10.0, 0.0, 0.0, 10.0, 14.0, 0.0, 7.0, 16.0, 8.0, 0.0, 0.0, 15.0, 16.0, 16.0, 16.0, 16.0, 1.0, 0.0, 0.0, 4.0, 11.0, 11.0, 15.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 15.0, 4.0, 0.0, 0.0], [0.0, 1.0, 7.0, 13.0, 16.0, 13.0, 0.0, 0.0, 0.0, 7.0, 16.0, 16.0, 16.0, 14.0, 0.0, 0.0, 0.0, 1.0, 7.0, 16.0, 10.0, 1.0, 0.0, 0.0, 0.0, 1.0, 16.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 15.0, 14.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 14.0, 15.0, 3.0, 0.0, 0.0, 0.0, 1.0, 5.0, 13.0, 16.0, 7.0, 0.0, 0.0, 0.0, 8.0, 15.0, 10.0, 6.0, 0.0, 0.0], [0.0, 0.0, 8.0, 12.0, 11.0, 6.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 16.0, 13.0, 2.0, 0.0, 0.0, 2.0, 14.0, 16.0, 16.0, 14.0, 2.0, 0.0, 0.0, 2.0, 13.0, 16.0, 16.0, 8.0, 0.0, 0.0, 0.0, 4.0, 16.0, 16.0, 16.0, 8.0, 0.0, 0.0, 0.0, 4.0, 16.0, 16.0, 16.0, 10.0, 0.0, 0.0, 0.0, 1.0, 11.0, 16.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 4.0, 11.0, 12.0, 7.0, 0.0, 0.0], [0.0, 0.0, 0.0, 2.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 15.0, 9.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 12.0, 0.0, 9.0, 12.0, 0.0, 0.0, 9.0, 16.0, 16.0, 16.0, 16.0, 10.0, 0.0, 0.0, 1.0, 6.0, 10.0, 14.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 7.0, 0.0, 0.0], [0.0, 0.0, 5.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 14.0, 14.0, 1.0, 12.0, 0.0, 0.0, 0.0, 0.0, 15.0, 10.0, 0.0, 7.0, 4.0, 0.0, 0.0, 2.0, 16.0, 7.0, 0.0, 2.0, 9.0, 0.0, 0.0, 2.0, 16.0, 8.0, 0.0, 6.0, 11.0, 0.0, 0.0, 1.0, 12.0, 14.0, 14.0, 16.0, 5.0, 0.0, 0.0, 0.0, 4.0, 15.0, 16.0, 8.0, 1.0, 0.0], [0.0, 0.0, 9.0, 12.0, 14.0, 6.0, 0.0, 0.0, 0.0, 0.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 15.0, 12.0, 16.0, 9.0, 1.0, 0.0, 0.0, 1.0, 8.0, 6.0, 2.0, 12.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 15.0, 2.0, 0.0, 0.0, 0.0, 12.0, 14.0, 9.0, 2.0, 0.0, 0.0], [0.0, 2.0, 10.0, 12.0, 16.0, 8.0, 0.0, 0.0, 0.0, 4.0, 8.0, 5.0, 13.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 15.0, 7.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 5.0, 0.0, 0.0, 2.0, 14.0, 16.0, 12.0, 9.0, 0.0, 0.0], [0.0, 0.0, 0.0, 6.0, 12.0, 6.0, 0.0, 0.0, 0.0, 0.0, 1.0, 15.0, 14.0, 1.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 1.0, 13.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 16.0, 11.0, 4.0, 0.0, 0.0, 0.0, 0.0, 16.0, 16.0, 16.0, 16.0, 7.0, 0.0, 0.0, 0.0, 9.0, 16.0, 16.0, 16.0, 12.0, 0.0, 0.0, 0.0, 0.0, 6.0, 11.0, 12.0, 5.0, 0.0], [0.0, 0.0, 5.0, 14.0, 11.0, 8.0, 0.0, 0.0, 0.0, 4.0, 15.0, 2.0, 16.0, 16.0, 0.0, 0.0, 0.0, 8.0, 12.0, 0.0, 12.0, 16.0, 0.0, 0.0, 0.0, 2.0, 15.0, 16.0, 16.0, 15.0, 4.0, 0.0, 0.0, 0.0, 0.0, 4.0, 10.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 2.0, 0.0, 0.0, 3.0, 13.0, 8.0, 14.0, 16.0, 0.0, 0.0, 0.0, 0.0, 7.0, 15.0, 12.0, 5.0, 0.0, 0.0], [0.0, 0.0, 2.0, 13.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 8.0, 2.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 16.0, 16.0, 11.0, 0.0, 0.0, 0.0, 4.0, 16.0, 2.0, 4.0, 11.0, 9.0, 0.0, 0.0, 1.0, 13.0, 11.0, 8.0, 12.0, 12.0, 0.0, 0.0, 0.0, 1.0, 12.0, 16.0, 14.0, 4.0, 0.0], [0.0, 0.0, 6.0, 12.0, 12.0, 6.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 16.0, 13.0, 0.0, 0.0, 0.0, 0.0, 12.0, 16.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 16.0, 12.0, 0.0, 0.0, 0.0, 2.0, 13.0, 16.0, 16.0, 12.0, 0.0, 0.0, 0.0, 1.0, 16.0, 16.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 16.0, 16.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 2.0, 11.0, 10.0, 4.0, 0.0, 0.0], [0.0, 0.0, 6.0, 16.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 16.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 15.0, 11.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 16.0, 16.0, 13.0, 0.0, 0.0, 0.0, 11.0, 16.0, 16.0, 5.0, 1.0, 0.0, 0.0, 0.0, 0.0, 14.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 11.0, 0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 12.0, 16.0, 16.0, 7.0, 0.0, 0.0, 0.0, 3.0, 16.0, 10.0, 2.0, 2.0, 0.0, 0.0, 0.0, 4.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 12.0, 12.0, 9.0, 1.0, 0.0, 0.0, 1.0, 15.0, 16.0, 12.0, 15.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 14.0, 11.0, 0.0, 0.0, 0.0, 3.0, 9.0, 16.0, 16.0, 7.0, 0.0, 0.0, 0.0, 10.0, 12.0, 12.0, 4.0, 0.0, 0.0], [0.0, 0.0, 0.0, 2.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 10.0, 5.0, 7.0, 0.0, 0.0, 0.0, 11.0, 15.0, 2.0, 13.0, 7.0, 0.0, 0.0, 10.0, 16.0, 8.0, 8.0, 16.0, 6.0, 0.0, 0.0, 8.0, 12.0, 12.0, 13.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 13.0, 3.0, 0.0, 0.0], [0.0, 0.0, 0.0, 1.0, 13.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 15.0, 3.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 9.0, 2.0, 1.0, 0.0, 0.0, 2.0, 14.0, 13.0, 1.0, 16.0, 6.0, 0.0, 0.0, 11.0, 16.0, 6.0, 8.0, 16.0, 3.0, 0.0, 1.0, 16.0, 16.0, 16.0, 16.0, 13.0, 0.0, 0.0, 0.0, 7.0, 12.0, 13.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 7.0, 0.0, 0.0], [0.0, 0.0, 3.0, 10.0, 16.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 14.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 15.0, 4.0, 0.0, 0.0, 0.0, 4.0, 4.0, 12.0, 15.0, 5.0, 0.0, 0.0, 1.0, 15.0, 16.0, 16.0, 9.0, 4.0, 0.0, 0.0, 0.0, 2.0, 11.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 12.0, 0.0, 0.0, 0.0, 0.0], [0.0, 3.0, 14.0, 15.0, 6.0, 0.0, 0.0, 0.0, 0.0, 7.0, 15.0, 14.0, 15.0, 0.0, 0.0, 0.0, 0.0, 2.0, 7.0, 2.0, 14.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 14.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 15.0, 2.0, 0.0, 0.0, 0.0, 0.0, 5.0, 15.0, 14.0, 4.0, 1.0, 0.0, 0.0, 4.0, 15.0, 16.0, 16.0, 16.0, 6.0, 0.0, 0.0, 4.0, 15.0, 13.0, 12.0, 11.0, 1.0, 0.0], [0.0, 0.0, 10.0, 16.0, 14.0, 5.0, 0.0, 0.0, 0.0, 2.0, 16.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 14.0, 14.0, 13.0, 11.0, 0.0, 0.0, 0.0, 5.0, 16.0, 1.0, 6.0, 15.0, 0.0, 0.0, 0.0, 7.0, 14.0, 9.0, 13.0, 15.0, 1.0, 0.0, 0.0, 1.0, 11.0, 16.0, 15.0, 6.0, 0.0, 0.0], [0.0, 1.0, 10.0, 13.0, 2.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 16.0, 12.0, 0.0, 0.0, 0.0, 0.0, 9.0, 9.0, 8.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 1.0, 11.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 13.0, 2.0, 0.0, 0.0, 0.0, 0.0, 14.0, 16.0, 16.0, 16.0, 13.0, 0.0, 0.0, 0.0, 9.0, 13.0, 11.0, 10.0, 9.0, 0.0], [0.0, 0.0, 15.0, 13.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 14.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 4.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 8.0, 6.0, 5.0, 0.0, 0.0, 0.0, 13.0, 16.0, 16.0, 16.0, 14.0, 0.0, 0.0, 0.0, 10.0, 13.0, 10.0, 6.0, 2.0, 0.0], [0.0, 0.0, 1.0, 10.0, 14.0, 13.0, 1.0, 0.0, 0.0, 0.0, 8.0, 12.0, 6.0, 4.0, 0.0, 0.0, 0.0, 0.0, 14.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 12.0, 13.0, 12.0, 0.0, 0.0, 0.0, 2.0, 11.0, 11.0, 8.0, 14.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 15.0, 2.0, 0.0, 0.0, 0.0, 0.0, 12.0, 14.0, 4.0, 0.0, 0.0], [0.0, 1.0, 10.0, 16.0, 15.0, 2.0, 0.0, 0.0, 0.0, 1.0, 12.0, 13.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 7.0, 11.0, 16.0, 13.0, 8.0, 0.0, 0.0, 8.0, 16.0, 16.0, 16.0, 16.0, 6.0, 0.0, 0.0, 2.0, 10.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 15.0, 2.0, 0.0, 0.0, 0.0], [0.0, 0.0, 4.0, 14.0, 15.0, 6.0, 0.0, 0.0, 0.0, 5.0, 16.0, 16.0, 16.0, 16.0, 0.0, 0.0, 0.0, 5.0, 16.0, 16.0, 16.0, 16.0, 3.0, 0.0, 0.0, 0.0, 2.0, 8.0, 13.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 8.0, 0.0, 0.0, 0.0, 1.0, 6.0, 13.0, 16.0, 6.0, 0.0, 0.0, 0.0, 4.0, 13.0, 15.0, 9.0, 0.0, 0.0], [0.0, 0.0, 10.0, 16.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0, 16.0, 12.0, 5.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 9.0, 4.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 16.0, 16.0, 14.0, 2.0, 0.0, 0.0, 1.0, 10.0, 4.0, 1.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 7.0, 0.0, 0.0, 0.0, 7.0, 8.0, 14.0, 16.0, 3.0, 0.0, 0.0, 0.0, 6.0, 13.0, 10.0, 4.0, 0.0, 0.0], [0.0, 0.0, 0.0, 1.0, 12.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 15.0, 2.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 6.0, 1.0, 2.0, 0.0, 0.0, 4.0, 16.0, 9.0, 1.0, 15.0, 9.0, 0.0, 0.0, 13.0, 15.0, 6.0, 10.0, 16.0, 6.0, 0.0, 0.0, 12.0, 16.0, 16.0, 16.0, 16.0, 1.0, 0.0, 0.0, 1.0, 7.0, 4.0, 14.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 9.0, 0.0, 0.0], [0.0, 0.0, 8.0, 16.0, 3.0, 0.0, 1.0, 0.0, 0.0, 0.0, 16.0, 14.0, 5.0, 14.0, 12.0, 0.0, 0.0, 0.0, 8.0, 16.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 14.0, 1.0, 0.0, 0.0, 0.0, 0.0, 12.0, 16.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 16.0, 11.0, 16.0, 4.0, 0.0, 0.0, 0.0, 3.0, 16.0, 16.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 10.0, 1.0, 0.0, 0.0], [0.0, 0.0, 5.0, 12.0, 8.0, 0.0, 1.0, 0.0, 0.0, 0.0, 11.0, 16.0, 5.0, 13.0, 6.0, 0.0, 0.0, 0.0, 2.0, 15.0, 16.0, 12.0, 1.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 1.0, 15.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 16.0, 11.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 6.0, 12.0, 12.0, 3.0, 0.0, 0.0], [0.0, 0.0, 0.0, 3.0, 15.0, 4.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 15.0, 3.0, 4.0, 3.0, 0.0, 0.0, 7.0, 16.0, 5.0, 3.0, 15.0, 8.0, 0.0, 0.0, 13.0, 16.0, 13.0, 15.0, 16.0, 2.0, 0.0, 0.0, 12.0, 16.0, 16.0, 16.0, 13.0, 0.0, 0.0, 0.0, 0.0, 4.0, 5.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 4.0, 0.0, 0.0], [0.0, 0.0, 4.0, 10.0, 13.0, 6.0, 0.0, 0.0, 0.0, 1.0, 16.0, 14.0, 12.0, 16.0, 3.0, 0.0, 0.0, 4.0, 16.0, 6.0, 3.0, 16.0, 4.0, 0.0, 0.0, 0.0, 12.0, 16.0, 16.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 4.0, 4.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 5.0, 0.0, 0.0, 0.0, 5.0, 7.0, 7.0, 16.0, 4.0, 0.0, 0.0, 0.0, 2.0, 14.0, 15.0, 9.0, 0.0, 0.0], [0.0, 0.0, 6.0, 16.0, 13.0, 11.0, 1.0, 0.0, 0.0, 0.0, 16.0, 15.0, 12.0, 16.0, 1.0, 0.0, 0.0, 3.0, 16.0, 7.0, 0.0, 13.0, 6.0, 0.0, 0.0, 4.0, 16.0, 0.0, 0.0, 10.0, 8.0, 0.0, 0.0, 8.0, 16.0, 0.0, 0.0, 14.0, 6.0, 0.0, 0.0, 5.0, 16.0, 7.0, 9.0, 16.0, 5.0, 0.0, 0.0, 1.0, 15.0, 16.0, 16.0, 16.0, 1.0, 0.0, 0.0, 0.0, 6.0, 16.0, 14.0, 6.0, 0.0, 0.0], [0.0, 0.0, 1.0, 11.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0, 13.0, 16.0, 8.0, 2.0, 1.0, 0.0, 0.0, 0.0, 16.0, 15.0, 10.0, 16.0, 5.0, 0.0, 0.0, 0.0, 8.0, 16.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 16.0, 14.0, 16.0, 15.0, 0.0, 0.0, 0.0, 0.0, 15.0, 15.0, 15.0, 16.0, 0.0, 0.0, 0.0, 0.0, 2.0, 9.0, 13.0, 6.0, 0.0, 0.0], [0.0, 0.0, 2.0, 10.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 16.0, 16.0, 15.0, 1.0, 0.0, 0.0, 4.0, 16.0, 7.0, 3.0, 16.0, 7.0, 0.0, 0.0, 5.0, 16.0, 10.0, 7.0, 16.0, 4.0, 0.0, 0.0, 0.0, 5.0, 14.0, 14.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 2.0, 0.0, 0.0, 0.0, 4.0, 7.0, 7.0, 16.0, 2.0, 0.0, 0.0, 0.0, 5.0, 12.0, 16.0, 12.0, 0.0, 0.0], [0.0, 0.0, 10.0, 14.0, 8.0, 1.0, 0.0, 0.0, 0.0, 2.0, 16.0, 14.0, 6.0, 1.0, 0.0, 0.0, 0.0, 0.0, 15.0, 15.0, 8.0, 15.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 12.0, 15.0, 15.0, 12.0, 0.0, 0.0, 0.0, 4.0, 16.0, 6.0, 4.0, 16.0, 6.0, 0.0, 0.0, 8.0, 16.0, 10.0, 8.0, 16.0, 8.0, 0.0, 0.0, 1.0, 8.0, 12.0, 14.0, 12.0, 1.0, 0.0]], target: [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 0, 9, 5, 5, 6, 5, 0, 9, 8, 9, 8, 4, 1, 7, 7, 3, 5, 1, 0, 0, 2, 2, 7, 8, 2, 0, 1, 2, 6, 3, 3, 7, 3, 3, 4, 6, 6, 6, 4, 9, 1, 5, 0, 9, 5, 2, 8, 2, 0, 0, 1, 7, 6, 3, 2, 1, 7, 4, 6, 3, 1, 3, 9, 1, 7, 6, 8, 4, 3, 1, 4, 0, 5, 3, 6, 9, 6, 1, 7, 5, 4, 4, 7, 2, 8, 2, 2, 5, 7, 9, 5, 4, 8, 8, 4, 9, 0, 8, 9, 8, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 0, 9, 5, 5, 6, 5, 0, 9, 8, 9, 8, 4, 1, 7, 7, 3, 5, 1, 0, 0, 2, 2, 7, 8, 2, 0, 1, 2, 6, 3, 3, 7, 3, 3, 4, 6, 6, 6, 4, 9, 1, 5, 0, 9, 5, 2, 8, 2, 0, 0, 1, 7, 6, 3, 2, 1, 7, 3, 1, 3, 9, 1, 7, 6, 8, 4, 3, 1, 4, 0, 5, 3, 6, 9, 6, 1, 7, 5, 4, 4, 7, 2, 8, 2, 2, 5, 5, 4, 8, 8, 4, 9, 0, 8, 9, 8, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 0, 9, 5, 5, 6, 5, 0, 9, 8, 9, 8, 4, 1, 7, 7, 3, 5, 1, 0, 0, 2, 2, 7, 8, 2, 0, 1, 2, 6, 3, 3, 7, 3, 3, 4, 6, 6, 6, 4, 9, 1, 5, 0, 9, 5, 2, 8, 2, 0, 0, 1, 7, 6, 3, 2, 1, 7, 4, 6, 3, 1, 3, 9, 1, 7, 6, 8, 4, 3, 1, 4, 0, 5, 3, 6, 9, 6, 1, 7, 5, 4, 4, 7, 2, 8, 2, 2, 5, 7, 9, 5, 4, 8, 8, 4, 9, 0, 8, 9, 3, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 0, 9, 5, 5, 6, 5, 0, 9, 8, 9, 8, 4, 1, 7, 7, 3, 5, 1, 0, 0, 2, 2, 7, 8, 2, 0, 1, 2, 6, 3, 3, 7, 3, 3, 4, 6, 6, 6, 4, 9, 1, 5, 0, 9, 5, 2, 8, 2, 0, 0, 1, 7, 6, 3, 2, 1, 7, 4, 6, 3, 1, 3, 9, 1, 7, 6, 8, 4, 3, 1, 4, 0, 5, 3, 6, 9, 6, 1, 7, 5, 4, 4, 7, 2, 8, 2, 2, 5, 7, 9, 5, 4, 8, 8, 4, 9, 0, 8, 9, 8, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 0, 9, 5, 5, 6, 5, 0, 9, 8, 9, 8, 4, 1, 7, 7, 3, 5, 1, 0, 0, 2, 2, 7, 8, 2, 0, 1, 2, 6, 3, 3, 7, 3, 3, 4, 6, 6, 6, 4, 9, 1, 5, 0, 9, 5, 2, 8, 2, 0, 0, 1, 7, 6, 3, 2, 1, 7, 4, 6, 3, 1, 3, 9, 1, 7, 6, 8, 4, 3, 1, 4, 0, 5, 3, 6, 9, 6, 1, 7, 5, 4, 4, 7, 2, 8, 2, 2, 5, 7, 9, 5, 4, 8, 8, 4, 9, 0, 8, 9, 8, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 0, 9, 5, 5, 6, 5, 0, 9, 8, 9, 8, 4, 1, 7, 7, 3, 5, 1, 0, 0, 2, 2, 7, 8, 2, 0, 1, 2, 6, 3, 3, 7, 3, 3, 4, 6, 6, 6, 4, 9, 1, 5, 0, 9, 5, 2, 8, 2, 0, 0, 1, 7, 6, 3, 2, 1, 7, 4, 6, 3, 1, 3, 9, 1, 7, 6, 8, 4, 3, 1, 4, 0, 5, 3, 6, 9, 6, 1, 7, 5, 4, 4, 7, 2, 8, 2, 2, 5, 7, 9, 5, 4, 8, 8, 4, 9, 0, 8, 9, 8, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 0, 9, 5, 5, 6, 5, 0, 9, 8, 9, 8, 4, 1, 7, 7, 3, 5, 1, 0, 0, 2, 2, 7, 8, 2, 0, 1, 2, 6, 3, 3, 7, 3, 3, 4, 6, 6, 6, 4, 9, 1, 5, 0, 9, 5, 2, 8, 2, 0, 0, 1, 7, 6, 3, 2, 1, 7, 4, 6, 3, 1, 3, 9, 1, 7, 6, 8, 4, 3, 1, 4, 0, 5, 3, 6, 9, 6, 1, 7, 5, 4, 4, 7, 2, 8, 2, 2, 5, 7, 9, 5, 4, 8, 8, 4, 9, 0, 8, 9, 8, 1, 2, 3, 4, 5, 6, 7, 8, 9, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 0, 9, 5, 5, 6, 5, 0, 9, 8, 9, 8, 4, 1, 7, 7, 3, 5, 1, 2, 7, 8, 2, 0, 1, 2, 6, 3, 3, 7, 3, 3, 4, 6, 6, 6, 4, 9, 1, 5, 0, 9, 5, 2, 8, 2, 0, 0, 1, 7, 6, 3, 2, 1, 4, 6, 3, 1, 3, 9, 1, 7, 6, 8, 4, 3, 1, 4, 0, 5, 3, 6, 9, 6, 1, 7, 5, 4, 4, 7, 2, 8, 2, 2, 5, 7, 9, 5, 4, 4, 9, 0, 8, 9, 8, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 0, 9, 5, 5, 6, 5, 0, 9, 8, 9, 8, 4, 1, 7, 7, 3, 5, 1, 0, 0, 7, 8, 2, 0, 1, 2, 6, 3, 3, 7, 3, 3, 4, 6, 6, 6, 4, 9, 1, 5, 0, 9, 5, 2, 8, 2, 0, 0, 1, 7, 6, 3, 2, 1, 7, 4, 6, 3, 1, 3, 9, 1, 7, 6, 8, 4, 3, 1, 4, 0, 5, 3, 6, 9, 6, 1, 7, 5, 4, 4, 7, 2, 8, 2, 2, 5, 7, 9, 5, 4, 8, 8, 4, 9, 0, 8, 9, 8, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 0, 9, 5, 5, 6, 5, 0, 9, 8, 9, 8, 4, 1, 7, 7, 3, 5, 1, 0, 0, 2, 2, 7, 8, 2, 0, 1, 2, 6, 3, 3, 7, 3, 3, 4, 6, 6, 6, 4, 9, 1, 5, 0, 9, 5, 2, 8, 2, 0, 0, 1, 7, 6, 3, 2, 1, 7, 4, 6, 3, 1, 3, 9, 1, 7, 6, 8, 4, 3, 1, 4, 0, 5, 3, 6, 9, 6, 1, 7, 5, 4, 4, 7, 2, 8, 2, 2, 5, 7, 9, 5, 4, 8, 8, 4, 9, 0, 8, 9, 8, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 0, 9, 5, 5, 6, 5, 0, 9, 8, 9, 8, 4, 1, 7, 7, 3, 5, 1, 0, 0, 2, 2, 7, 8, 2, 0, 1, 2, 6, 3, 3, 7, 3, 3, 4, 6, 6, 6, 4, 9, 1, 5, 0, 9, 5, 2, 8, 2, 0, 0, 1, 7, 6, 3, 2, 1, 7, 4, 6, 3, 1, 3, 9, 1, 7, 6, 8, 4, 3, 1, 4, 0, 5, 3, 6, 9, 6, 1, 7, 5, 4, 4, 7, 2, 8, 2, 2, 5, 7, 9, 5, 4, 8, 8, 4, 9, 0, 8, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 0, 9, 5, 5, 6, 5, 0, 9, 8, 9, 8, 4, 1, 7, 7, 3, 5, 1, 0, 0, 2, 2, 7, 8, 2, 0, 1, 2, 6, 3, 3, 7, 3, 3, 4, 6, 6, 6, 4, 9, 1, 5, 0, 9, 5, 2, 8, 2, 0, 0, 1, 7, 6, 3, 2, 1, 7, 4, 6, 3, 1, 3, 9, 1, 7, 6, 8, 4, 3, 1, 4, 0, 5, 3, 6, 9, 6, 1, 7, 5, 4, 4, 7, 2, 8, 2, 2, 5, 7, 9, 5, 4, 8, 8, 4, 9, 0, 8, 9, 8, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 0, 1, 2, 3, 4, 5, 6, 9, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 0, 9, 5, 5, 6, 5, 0, 9, 8, 9, 8, 4, 1, 7, 7, 3, 5, 1, 0, 0, 2, 2, 7, 8, 2, 0, 1, 2, 6, 3, 3, 7, 3, 3, 4, 6, 6, 6, 4, 9, 1, 5, 0, 9, 5, 2, 8, 0, 1, 7, 6, 3, 2, 1, 7, 4, 6, 3, 1, 3, 9, 1, 7, 6, 8, 4, 3, 1, 4, 0, 5, 3, 6, 9, 6, 1, 7, 5, 4, 4, 7, 2, 2, 5, 7, 9, 5, 4, 4, 9, 0, 8, 9, 8, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 0, 9, 5, 5, 6, 5, 0, 9, 8, 9, 8, 4, 1, 7, 7, 3, 5, 1, 0, 0, 2, 2, 7, 8, 2, 0, 1, 2, 6, 3, 3, 7, 3, 3, 4, 6, 6, 6, 4, 9, 1, 5, 0, 9, 5, 2, 8, 2, 0, 0, 1, 7, 6, 3, 2, 1, 7, 4, 6, 3, 1, 3, 9, 1, 7, 6, 8, 4, 3, 1, 4, 0, 5, 3, 6, 9, 6, 1, 7, 5, 4, 4, 7, 2, 8, 2, 2, 5, 7, 9, 5, 4, 8, 8, 4, 9, 0, 8, 9, 8]};\n"
  },
  {
    "path": "ml/datasets/iris_data.ts",
    "content": "/* Iris Data Set\n *   archive.ics.uci.edu/ml/datasets/iris\n *   classes: 3\n *   samples per class: 50\n *   dimensionality: 4\n *   features: real, positive\n */\nvar iris: { data: number[][], target: number[], feature_names: string[], target_names: string[] } = { data: [[5.1, 3.5, 1.4, 0.2], [4.9, 3.0, 1.4, 0.2], [4.7, 3.2, 1.3, 0.2], [4.6, 3.1, 1.5, 0.2], [5.0, 3.6, 1.4, 0.2], [5.4, 3.9, 1.7, 0.4], [4.6, 3.4, 1.4, 0.3], [5.0, 3.4, 1.5, 0.2], [4.4, 2.9, 1.4, 0.2], [4.9, 3.1, 1.5, 0.1], [5.4, 3.7, 1.5, 0.2], [4.8, 3.4, 1.6, 0.2], [4.8, 3.0, 1.4, 0.1], [4.3, 3.0, 1.1, 0.1], [5.8, 4.0, 1.2, 0.2], [5.7, 4.4, 1.5, 0.4], [5.4, 3.9, 1.3, 0.4], [5.1, 3.5, 1.4, 0.3], [5.7, 3.8, 1.7, 0.3], [5.1, 3.8, 1.5, 0.3], [5.4, 3.4, 1.7, 0.2], [5.1, 3.7, 1.5, 0.4], [4.6, 3.6, 1.0, 0.2], [5.1, 3.3, 1.7, 0.5], [4.8, 3.4, 1.9, 0.2], [5.0, 3.0, 1.6, 0.2], [5.0, 3.4, 1.6, 0.4], [5.2, 3.5, 1.5, 0.2], [5.2, 3.4, 1.4, 0.2], [4.7, 3.2, 1.6, 0.2], [4.8, 3.1, 1.6, 0.2], [5.4, 3.4, 1.5, 0.4], [5.2, 4.1, 1.5, 0.1], [5.5, 4.2, 1.4, 0.2], [4.9, 3.1, 1.5, 0.1], [5.0, 3.2, 1.2, 0.2], [5.5, 3.5, 1.3, 0.2], [4.9, 3.1, 1.5, 0.1], [4.4, 3.0, 1.3, 0.2], [5.1, 3.4, 1.5, 0.2], [5.0, 3.5, 1.3, 0.3], [4.5, 2.3, 1.3, 0.3], [4.4, 3.2, 1.3, 0.2], [5.0, 3.5, 1.6, 0.6], [5.1, 3.8, 1.9, 0.4], [4.8, 3.0, 1.4, 0.3], [5.1, 3.8, 1.6, 0.2], [4.6, 3.2, 1.4, 0.2], [5.3, 3.7, 1.5, 0.2], [5.0, 3.3, 1.4, 0.2], [7.0, 3.2, 4.7, 1.4], [6.4, 3.2, 4.5, 1.5], [6.9, 3.1, 4.9, 1.5], [5.5, 2.3, 4.0, 1.3], [6.5, 2.8, 4.6, 1.5], [5.7, 2.8, 4.5, 1.3], [6.3, 3.3, 4.7, 1.6], [4.9, 2.4, 3.3, 1.0], [6.6, 2.9, 4.6, 1.3], [5.2, 2.7, 3.9, 1.4], [5.0, 2.0, 3.5, 1.0], [5.9, 3.0, 4.2, 1.5], [6.0, 2.2, 4.0, 1.0], [6.1, 2.9, 4.7, 1.4], [5.6, 2.9, 3.6, 1.3], [6.7, 3.1, 4.4, 1.4], [5.6, 3.0, 4.5, 1.5], [5.8, 2.7, 4.1, 1.0], [6.2, 2.2, 4.5, 1.5], [5.6, 2.5, 3.9, 1.1], [5.9, 3.2, 4.8, 1.8], [6.1, 2.8, 4.0, 1.3], [6.3, 2.5, 4.9, 1.5], [6.1, 2.8, 4.7, 1.2], [6.4, 2.9, 4.3, 1.3], [6.6, 3.0, 4.4, 1.4], [6.8, 2.8, 4.8, 1.4], [6.7, 3.0, 5.0, 1.7], [6.0, 2.9, 4.5, 1.5], [5.7, 2.6, 3.5, 1.0], [5.5, 2.4, 3.8, 1.1], [5.5, 2.4, 3.7, 1.0], [5.8, 2.7, 3.9, 1.2], [6.0, 2.7, 5.1, 1.6], [5.4, 3.0, 4.5, 1.5], [6.0, 3.4, 4.5, 1.6], [6.7, 3.1, 4.7, 1.5], [6.3, 2.3, 4.4, 1.3], [5.6, 3.0, 4.1, 1.3], [5.5, 2.5, 4.0, 1.3], [5.5, 2.6, 4.4, 1.2], [6.1, 3.0, 4.6, 1.4], [5.8, 2.6, 4.0, 1.2], [5.0, 2.3, 3.3, 1.0], [5.6, 2.7, 4.2, 1.3], [5.7, 3.0, 4.2, 1.2], [5.7, 2.9, 4.2, 1.3], [6.2, 2.9, 4.3, 1.3], [5.1, 2.5, 3.0, 1.1], [5.7, 2.8, 4.1, 1.3], [6.3, 3.3, 6.0, 2.5], [5.8, 2.7, 5.1, 1.9], [7.1, 3.0, 5.9, 2.1], [6.3, 2.9, 5.6, 1.8], [6.5, 3.0, 5.8, 2.2], [7.6, 3.0, 6.6, 2.1], [4.9, 2.5, 4.5, 1.7], [7.3, 2.9, 6.3, 1.8], [6.7, 2.5, 5.8, 1.8], [7.2, 3.6, 6.1, 2.5], [6.5, 3.2, 5.1, 2.0], [6.4, 2.7, 5.3, 1.9], [6.8, 3.0, 5.5, 2.1], [5.7, 2.5, 5.0, 2.0], [5.8, 2.8, 5.1, 2.4], [6.4, 3.2, 5.3, 2.3], [6.5, 3.0, 5.5, 1.8], [7.7, 3.8, 6.7, 2.2], [7.7, 2.6, 6.9, 2.3], [6.0, 2.2, 5.0, 1.5], [6.9, 3.2, 5.7, 2.3], [5.6, 2.8, 4.9, 2.0], [7.7, 2.8, 6.7, 2.0], [6.3, 2.7, 4.9, 1.8], [6.7, 3.3, 5.7, 2.1], [7.2, 3.2, 6.0, 1.8], [6.2, 2.8, 4.8, 1.8], [6.1, 3.0, 4.9, 1.8], [6.4, 2.8, 5.6, 2.1], [7.2, 3.0, 5.8, 1.6], [7.4, 2.8, 6.1, 1.9], [7.9, 3.8, 6.4, 2.0], [6.4, 2.8, 5.6, 2.2], [6.3, 2.8, 5.1, 1.5], [6.1, 2.6, 5.6, 1.4], [7.7, 3.0, 6.1, 2.3], [6.3, 3.4, 5.6, 2.4], [6.4, 3.1, 5.5, 1.8], [6.0, 3.0, 4.8, 1.8], [6.9, 3.1, 5.4, 2.1], [6.7, 3.1, 5.6, 2.4], [6.9, 3.1, 5.1, 2.3], [5.8, 2.7, 5.1, 1.9], [6.8, 3.2, 5.9, 2.3], [6.7, 3.3, 5.7, 2.5], [6.7, 3.0, 5.2, 2.3], [6.3, 2.5, 5.0, 1.9], [6.5, 3.0, 5.2, 2.0], [6.2, 3.4, 5.4, 2.3], [5.9, 3.0, 5.1, 1.8]], target: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], feature_names: [\"sepal length\", \"sepal width\", \"sepal length\", \"petal width\"], target_names: [\"setosa\", \"versicolor\", \"virginica\"] }"
  },
  {
    "path": "ml/datasets/out/digits_data.js",
    "content": "var digits = { data: [[0.0, 0.0, 5.0, 13.0, 9.0, 1.0, 0.0, 0.0, 0.0, 0.0, 13.0, 15.0, 10.0, 15.0, 5.0, 0.0, 0.0, 3.0, 15.0, 2.0, 0.0, 11.0, 8.0, 0.0, 0.0, 4.0, 12.0, 0.0, 0.0, 8.0, 8.0, 0.0, 0.0, 5.0, 8.0, 0.0, 0.0, 9.0, 8.0, 0.0, 0.0, 4.0, 11.0, 0.0, 1.0, 12.0, 7.0, 0.0, 0.0, 2.0, 14.0, 5.0, 10.0, 12.0, 0.0, 0.0, 0.0, 0.0, 6.0, 13.0, 10.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 12.0, 13.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 3.0, 15.0, 16.0, 6.0, 0.0, 0.0, 0.0, 7.0, 15.0, 16.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 10.0, 0.0, 0.0], [0.0, 0.0, 0.0, 4.0, 15.0, 12.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 15.0, 14.0, 0.0, 0.0, 0.0, 0.0, 8.0, 13.0, 8.0, 16.0, 0.0, 0.0, 0.0, 0.0, 1.0, 6.0, 15.0, 11.0, 0.0, 0.0, 0.0, 1.0, 8.0, 13.0, 15.0, 1.0, 0.0, 0.0, 0.0, 9.0, 16.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 3.0, 13.0, 16.0, 16.0, 11.0, 5.0, 0.0, 0.0, 0.0, 0.0, 3.0, 11.0, 16.0, 9.0, 0.0], [0.0, 0.0, 7.0, 15.0, 13.0, 1.0, 0.0, 0.0, 0.0, 8.0, 13.0, 6.0, 15.0, 4.0, 0.0, 0.0, 0.0, 2.0, 1.0, 13.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 15.0, 11.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 12.0, 12.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 10.0, 8.0, 0.0, 0.0, 0.0, 8.0, 4.0, 5.0, 14.0, 9.0, 0.0, 0.0, 0.0, 7.0, 13.0, 13.0, 9.0, 0.0, 0.0], [0.0, 0.0, 0.0, 1.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 13.0, 6.0, 2.0, 2.0, 0.0, 0.0, 0.0, 7.0, 15.0, 0.0, 9.0, 8.0, 0.0, 0.0, 5.0, 16.0, 10.0, 0.0, 16.0, 6.0, 0.0, 0.0, 4.0, 15.0, 16.0, 13.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 3.0, 15.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 4.0, 0.0, 0.0], [0.0, 0.0, 12.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 16.0, 16.0, 14.0, 0.0, 0.0, 0.0, 0.0, 13.0, 16.0, 15.0, 10.0, 1.0, 0.0, 0.0, 0.0, 11.0, 16.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 7.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 9.0, 0.0, 0.0, 0.0, 5.0, 4.0, 12.0, 16.0, 4.0, 0.0, 0.0, 0.0, 9.0, 16.0, 16.0, 10.0, 0.0, 0.0], [0.0, 0.0, 0.0, 12.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 12.0, 7.0, 2.0, 0.0, 0.0, 0.0, 0.0, 13.0, 16.0, 13.0, 16.0, 3.0, 0.0, 0.0, 0.0, 7.0, 16.0, 11.0, 15.0, 8.0, 0.0, 0.0, 0.0, 1.0, 9.0, 15.0, 11.0, 3.0, 0.0], [0.0, 0.0, 7.0, 8.0, 13.0, 16.0, 15.0, 1.0, 0.0, 0.0, 7.0, 7.0, 4.0, 11.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 13.0, 1.0, 0.0, 0.0, 4.0, 8.0, 8.0, 15.0, 15.0, 6.0, 0.0, 0.0, 2.0, 11.0, 15.0, 15.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 5.0, 0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 9.0, 14.0, 8.0, 1.0, 0.0, 0.0, 0.0, 0.0, 12.0, 14.0, 14.0, 12.0, 0.0, 0.0, 0.0, 0.0, 9.0, 10.0, 0.0, 15.0, 4.0, 0.0, 0.0, 0.0, 3.0, 16.0, 12.0, 14.0, 2.0, 0.0, 0.0, 0.0, 4.0, 16.0, 16.0, 2.0, 0.0, 0.0, 0.0, 3.0, 16.0, 8.0, 10.0, 13.0, 2.0, 0.0, 0.0, 1.0, 15.0, 1.0, 3.0, 16.0, 8.0, 0.0, 0.0, 0.0, 11.0, 16.0, 15.0, 11.0, 1.0, 0.0], [0.0, 0.0, 11.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 16.0, 16.0, 13.0, 0.0, 0.0, 0.0, 3.0, 16.0, 12.0, 10.0, 14.0, 0.0, 0.0, 0.0, 1.0, 16.0, 1.0, 12.0, 15.0, 0.0, 0.0, 0.0, 0.0, 13.0, 16.0, 9.0, 15.0, 2.0, 0.0, 0.0, 0.0, 0.0, 3.0, 0.0, 9.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 15.0, 4.0, 0.0, 0.0, 0.0, 9.0, 12.0, 13.0, 3.0, 0.0, 0.0], [0.0, 0.0, 1.0, 9.0, 15.0, 11.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 8.0, 14.0, 6.0, 0.0, 0.0, 2.0, 16.0, 10.0, 0.0, 9.0, 9.0, 0.0, 0.0, 1.0, 16.0, 4.0, 0.0, 8.0, 8.0, 0.0, 0.0, 4.0, 16.0, 4.0, 0.0, 8.0, 8.0, 0.0, 0.0, 1.0, 16.0, 5.0, 1.0, 11.0, 3.0, 0.0, 0.0, 0.0, 12.0, 12.0, 10.0, 10.0, 0.0, 0.0, 0.0, 0.0, 1.0, 10.0, 13.0, 3.0, 0.0, 0.0], [0.0, 0.0, 0.0, 0.0, 14.0, 13.0, 1.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 14.0, 16.0, 12.0, 0.0, 0.0, 0.0, 1.0, 10.0, 16.0, 16.0, 12.0, 0.0, 0.0, 0.0, 3.0, 12.0, 14.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 13.0, 16.0, 1.0, 0.0], [0.0, 0.0, 5.0, 12.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 14.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 1.0, 12.0, 0.0, 0.0, 0.0, 0.0, 2.0, 10.0, 0.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 0.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 15.0, 9.0, 8.0, 2.0, 0.0, 0.0, 3.0, 11.0, 8.0, 13.0, 12.0, 4.0], [0.0, 2.0, 9.0, 15.0, 14.0, 9.0, 3.0, 0.0, 0.0, 4.0, 13.0, 8.0, 9.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 6.0, 14.0, 15.0, 3.0, 0.0, 0.0, 0.0, 0.0, 11.0, 14.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 15.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 15.0, 4.0, 0.0, 0.0, 1.0, 5.0, 6.0, 13.0, 16.0, 6.0, 0.0, 0.0, 2.0, 12.0, 12.0, 13.0, 11.0, 0.0, 0.0], [0.0, 0.0, 0.0, 8.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0, 1.0, 14.0, 13.0, 1.0, 1.0, 0.0, 0.0, 0.0, 10.0, 15.0, 3.0, 15.0, 11.0, 0.0, 0.0, 7.0, 16.0, 7.0, 1.0, 16.0, 8.0, 0.0, 0.0, 9.0, 16.0, 13.0, 14.0, 16.0, 5.0, 0.0, 0.0, 1.0, 10.0, 15.0, 16.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 15.0, 4.0, 0.0, 0.0], [0.0, 5.0, 12.0, 13.0, 16.0, 16.0, 2.0, 0.0, 0.0, 11.0, 16.0, 15.0, 8.0, 4.0, 0.0, 0.0, 0.0, 8.0, 14.0, 11.0, 1.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 16.0, 14.0, 0.0, 0.0, 0.0, 0.0, 1.0, 6.0, 6.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 3.0, 0.0, 0.0, 0.0, 1.0, 5.0, 15.0, 13.0, 0.0, 0.0, 0.0, 0.0, 4.0, 15.0, 16.0, 2.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 8.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 16.0, 13.0, 5.0, 0.0, 0.0, 0.0, 15.0, 16.0, 9.0, 9.0, 14.0, 0.0, 0.0, 0.0, 3.0, 14.0, 9.0, 2.0, 16.0, 2.0, 0.0, 0.0, 0.0, 7.0, 15.0, 16.0, 11.0, 0.0], [0.0, 0.0, 1.0, 8.0, 15.0, 10.0, 0.0, 0.0, 0.0, 3.0, 13.0, 15.0, 14.0, 14.0, 0.0, 0.0, 0.0, 5.0, 10.0, 0.0, 10.0, 12.0, 0.0, 0.0, 0.0, 0.0, 3.0, 5.0, 15.0, 10.0, 2.0, 0.0, 0.0, 0.0, 16.0, 16.0, 16.0, 16.0, 12.0, 0.0, 0.0, 1.0, 8.0, 12.0, 14.0, 8.0, 3.0, 0.0, 0.0, 0.0, 0.0, 10.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 9.0, 0.0, 0.0, 0.0], [0.0, 0.0, 10.0, 7.0, 13.0, 9.0, 0.0, 0.0, 0.0, 0.0, 9.0, 10.0, 12.0, 15.0, 2.0, 0.0, 0.0, 0.0, 4.0, 11.0, 10.0, 11.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 10.0, 1.0, 0.0, 0.0, 0.0, 0.0, 12.0, 13.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 1.0, 12.0, 0.0, 0.0, 0.0, 0.0, 1.0, 10.0, 2.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 14.0, 5.0, 0.0, 0.0, 0.0], [0.0, 0.0, 6.0, 14.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 14.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 1.0, 12.0, 12.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 11.0, 0.0, 0.0, 0.0, 1.0, 4.0, 4.0, 7.0, 16.0, 2.0, 0.0, 0.0, 7.0, 16.0, 16.0, 13.0, 11.0, 1.0], [0.0, 0.0, 3.0, 13.0, 11.0, 7.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 16.0, 16.0, 2.0, 0.0, 0.0, 4.0, 16.0, 9.0, 1.0, 14.0, 2.0, 0.0, 0.0, 4.0, 16.0, 0.0, 0.0, 16.0, 2.0, 0.0, 0.0, 0.0, 16.0, 1.0, 0.0, 12.0, 8.0, 0.0, 0.0, 0.0, 15.0, 9.0, 0.0, 13.0, 6.0, 0.0, 0.0, 0.0, 9.0, 14.0, 9.0, 14.0, 1.0, 0.0, 0.0, 0.0, 2.0, 12.0, 13.0, 4.0, 0.0, 0.0], [0.0, 0.0, 0.0, 2.0, 16.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 16.0, 2.0, 0.0, 0.0, 1.0, 4.0, 12.0, 16.0, 12.0, 0.0, 0.0, 0.0, 7.0, 16.0, 16.0, 16.0, 12.0, 0.0, 0.0, 0.0, 0.0, 3.0, 10.0, 16.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 2.0, 12.0, 15.0, 4.0, 0.0], [0.0, 0.0, 8.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 1.0, 13.0, 11.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 0.0, 13.0, 3.0, 0.0, 0.0, 0.0, 0.0, 3.0, 1.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 15.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 15.0, 8.0, 8.0, 3.0, 0.0, 0.0, 0.0, 7.0, 12.0, 12.0, 12.0, 13.0, 1.0], [0.0, 1.0, 8.0, 12.0, 15.0, 14.0, 4.0, 0.0, 0.0, 3.0, 11.0, 8.0, 8.0, 12.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 13.0, 7.0, 0.0, 0.0, 0.0, 0.0, 2.0, 15.0, 12.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 13.0, 0.0, 0.0, 0.0, 0.0, 7.0, 8.0, 14.0, 15.0, 0.0, 0.0, 0.0, 0.0, 14.0, 15.0, 11.0, 2.0, 0.0, 0.0], [0.0, 0.0, 0.0, 0.0, 12.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 14.0, 1.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 7.0, 8.0, 0.0, 0.0, 0.0, 0.0, 13.0, 9.0, 0.0, 16.0, 6.0, 0.0, 0.0, 6.0, 16.0, 10.0, 11.0, 16.0, 0.0, 0.0, 0.0, 0.0, 5.0, 10.0, 13.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 8.0, 0.0, 0.0], [0.0, 0.0, 12.0, 8.0, 8.0, 7.0, 0.0, 0.0, 0.0, 3.0, 16.0, 16.0, 11.0, 7.0, 0.0, 0.0, 0.0, 2.0, 14.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 14.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 15.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 4.0, 8.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 11.0, 14.0, 9.0, 0.0, 0.0, 0.0], [0.0, 0.0, 1.0, 13.0, 14.0, 3.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 13.0, 2.0, 0.0, 0.0, 0.0, 2.0, 16.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 12.0, 1.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 14.0, 5.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 16.0, 16.0, 16.0, 6.0, 0.0, 0.0, 1.0, 14.0, 16.0, 16.0, 16.0, 12.0, 0.0, 0.0, 0.0, 3.0, 12.0, 15.0, 14.0, 7.0, 0.0], [0.0, 0.0, 0.0, 8.0, 14.0, 14.0, 2.0, 0.0, 0.0, 0.0, 0.0, 6.0, 10.0, 15.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 10.0, 0.0, 0.0, 2.0, 8.0, 11.0, 12.0, 16.0, 8.0, 0.0, 0.0, 8.0, 16.0, 16.0, 16.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 13.0, 1.0, 0.0, 0.0], [0.0, 0.0, 10.0, 11.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 15.0, 13.0, 13.0, 1.0, 0.0, 0.0, 0.0, 8.0, 11.0, 0.0, 14.0, 4.0, 0.0, 0.0, 0.0, 0.0, 13.0, 15.0, 13.0, 0.0, 0.0, 0.0, 1.0, 11.0, 16.0, 16.0, 0.0, 0.0, 0.0, 0.0, 1.0, 15.0, 3.0, 9.0, 10.0, 0.0, 0.0, 0.0, 0.0, 14.0, 6.0, 15.0, 10.0, 0.0, 0.0, 0.0, 0.0, 8.0, 14.0, 7.0, 1.0, 0.0, 0.0], [0.0, 0.0, 9.0, 13.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 16.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 12.0, 13.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 16.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 10.0, 0.0, 0.0, 0.0, 3.0, 7.0, 12.0, 14.0, 16.0, 2.0, 0.0, 0.0, 7.0, 12.0, 12.0, 12.0, 11.0, 0.0], [0.0, 0.0, 10.0, 14.0, 11.0, 3.0, 0.0, 0.0, 0.0, 4.0, 16.0, 13.0, 6.0, 14.0, 1.0, 0.0, 0.0, 4.0, 16.0, 2.0, 0.0, 11.0, 7.0, 0.0, 0.0, 8.0, 16.0, 0.0, 0.0, 10.0, 5.0, 0.0, 0.0, 8.0, 16.0, 0.0, 0.0, 14.0, 4.0, 0.0, 0.0, 8.0, 16.0, 0.0, 1.0, 16.0, 1.0, 0.0, 0.0, 4.0, 16.0, 1.0, 11.0, 15.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 12.0, 3.0, 0.0, 0.0], [0.0, 0.0, 2.0, 13.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 5.0, 15.0, 13.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 11.0, 0.0, 0.0, 0.0, 0.0, 3.0, 4.0, 4.0, 16.0, 2.0, 0.0, 0.0, 2.0, 15.0, 13.0, 14.0, 13.0, 2.0], [0.0, 2.0, 13.0, 16.0, 16.0, 16.0, 11.0, 0.0, 0.0, 5.0, 16.0, 10.0, 5.0, 4.0, 1.0, 0.0, 0.0, 6.0, 16.0, 7.0, 3.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 16.0, 16.0, 6.0, 0.0, 0.0, 0.0, 3.0, 8.0, 4.0, 11.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 12.0, 15.0, 0.0, 0.0, 0.0, 0.0, 4.0, 13.0, 16.0, 6.0, 0.0, 0.0, 0.0, 2.0, 16.0, 15.0, 8.0, 0.0, 0.0, 0.0], [0.0, 6.0, 13.0, 5.0, 8.0, 8.0, 1.0, 0.0, 0.0, 8.0, 16.0, 16.0, 16.0, 16.0, 6.0, 0.0, 0.0, 6.0, 16.0, 9.0, 6.0, 4.0, 0.0, 0.0, 0.0, 6.0, 16.0, 16.0, 15.0, 5.0, 0.0, 0.0, 0.0, 0.0, 4.0, 5.0, 15.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 9.0, 0.0, 0.0, 0.0, 1.0, 8.0, 13.0, 15.0, 3.0, 0.0, 0.0, 0.0, 4.0, 16.0, 15.0, 3.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 5.0, 14.0, 2.0, 0.0, 0.0, 0.0, 0.0, 1.0, 13.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 15.0, 5.0, 0.0, 0.0, 0.0, 0.0, 1.0, 15.0, 16.0, 15.0, 11.0, 1.0, 0.0, 0.0, 2.0, 13.0, 14.0, 1.0, 12.0, 9.0, 0.0, 0.0, 0.0, 4.0, 16.0, 7.0, 13.0, 9.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 15.0, 3.0, 0.0], [0.0, 3.0, 15.0, 8.0, 8.0, 6.0, 0.0, 0.0, 0.0, 4.0, 16.0, 16.0, 16.0, 13.0, 2.0, 0.0, 0.0, 3.0, 16.0, 9.0, 2.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 16.0, 15.0, 3.0, 0.0, 0.0, 0.0, 0.0, 7.0, 6.0, 12.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 14.0, 10.0, 0.0, 0.0, 0.0, 0.0, 5.0, 14.0, 15.0, 2.0, 0.0, 0.0, 0.0, 1.0, 15.0, 14.0, 1.0, 0.0, 0.0, 0.0], [0.0, 0.0, 6.0, 14.0, 10.0, 2.0, 0.0, 0.0, 0.0, 0.0, 15.0, 15.0, 13.0, 15.0, 3.0, 0.0, 0.0, 2.0, 16.0, 10.0, 0.0, 13.0, 9.0, 0.0, 0.0, 1.0, 16.0, 5.0, 0.0, 12.0, 5.0, 0.0, 0.0, 0.0, 16.0, 3.0, 0.0, 13.0, 6.0, 0.0, 0.0, 1.0, 15.0, 5.0, 6.0, 13.0, 1.0, 0.0, 0.0, 0.0, 16.0, 11.0, 14.0, 10.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 11.0, 1.0, 0.0, 0.0], [0.0, 0.0, 13.0, 10.0, 1.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 14.0, 7.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 8.0, 14.0, 0.0, 0.0, 0.0, 0.0, 2.0, 14.0, 16.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 1.0, 4.0, 9.0, 13.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 6.0, 0.0, 0.0, 0.0, 5.0, 8.0, 5.0, 9.0, 14.0, 0.0, 0.0, 0.0, 13.0, 13.0, 15.0, 16.0, 13.0, 0.0], [0.0, 0.0, 7.0, 7.0, 13.0, 16.0, 4.0, 0.0, 0.0, 0.0, 13.0, 13.0, 6.0, 12.0, 7.0, 0.0, 0.0, 0.0, 10.0, 4.0, 10.0, 11.0, 1.0, 0.0, 0.0, 0.0, 8.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 3.0, 14.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 8.0, 11.0, 5.0, 0.0, 0.0, 0.0, 0.0, 4.0, 10.0, 9.0, 8.0, 0.0, 0.0, 0.0, 0.0, 1.0, 11.0, 16.0, 6.0, 0.0, 0.0, 0.0], [0.0, 1.0, 9.0, 16.0, 13.0, 7.0, 0.0, 0.0, 0.0, 7.0, 14.0, 4.0, 10.0, 12.0, 0.0, 0.0, 0.0, 6.0, 15.0, 9.0, 16.0, 11.0, 0.0, 0.0, 0.0, 0.0, 9.0, 11.0, 7.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 6.0, 0.0, 0.0, 3.0, 13.0, 8.0, 5.0, 14.0, 5.0, 0.0, 0.0, 0.0, 9.0, 14.0, 13.0, 10.0, 1.0, 0.0], [0.0, 0.0, 11.0, 10.0, 12.0, 4.0, 0.0, 0.0, 0.0, 0.0, 12.0, 13.0, 9.0, 16.0, 1.0, 0.0, 0.0, 0.0, 7.0, 13.0, 11.0, 16.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 14.0, 4.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 7.0, 12.0, 7.0, 0.0, 0.0, 0.0, 4.0, 14.0, 4.0, 12.0, 13.0, 0.0, 0.0, 0.0, 1.0, 11.0, 14.0, 12.0, 4.0, 0.0, 0.0], [0.0, 0.0, 0.0, 9.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 14.0, 2.0, 11.0, 3.0, 0.0, 0.0, 4.0, 16.0, 9.0, 4.0, 16.0, 10.0, 0.0, 0.0, 9.0, 16.0, 11.0, 13.0, 16.0, 2.0, 0.0, 0.0, 0.0, 9.0, 16.0, 16.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 2.0, 0.0, 0.0], [0.0, 0.0, 0.0, 0.0, 12.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 12.0, 0.0, 0.0, 0.0, 0.0, 1.0, 12.0, 16.0, 11.0, 0.0, 0.0, 0.0, 2.0, 12.0, 16.0, 16.0, 10.0, 0.0, 0.0, 0.0, 6.0, 11.0, 5.0, 15.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 8.0, 0.0, 0.0], [0.0, 0.0, 0.0, 9.0, 15.0, 12.0, 0.0, 0.0, 0.0, 0.0, 4.0, 7.0, 7.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 3.0, 0.0, 0.0, 4.0, 9.0, 8.0, 10.0, 13.0, 1.0, 0.0, 0.0, 4.0, 16.0, 15.0, 16.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 7.0, 0.0, 0.0, 0.0], [0.0, 0.0, 9.0, 16.0, 16.0, 16.0, 5.0, 0.0, 0.0, 1.0, 14.0, 10.0, 8.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 3.0, 0.0, 0.0, 3.0, 8.0, 11.0, 15.0, 16.0, 11.0, 0.0, 0.0, 8.0, 16.0, 16.0, 15.0, 11.0, 3.0, 0.0, 0.0, 0.0, 2.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 10.0, 0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 9.0, 16.0, 13.0, 6.0, 0.0, 0.0, 0.0, 0.0, 6.0, 5.0, 16.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 15.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 14.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 15.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 12.0, 0.0, 0.0, 0.0, 4.0, 8.0, 11.0, 15.0, 12.0, 0.0, 0.0, 0.0, 11.0, 14.0, 12.0, 8.0, 0.0, 0.0], [0.0, 1.0, 15.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 16.0, 16.0, 14.0, 2.0, 0.0, 0.0, 6.0, 16.0, 11.0, 8.0, 8.0, 3.0, 0.0, 0.0, 5.0, 16.0, 11.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 14.0, 14.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 14.0, 14.0, 4.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 1.0, 11.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 13.0, 0.0, 0.0, 0.0, 0.0, 4.0, 14.0, 16.0, 9.0, 0.0, 0.0, 0.0, 10.0, 16.0, 11.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 14.0, 6.0, 0.0, 0.0], [0.0, 0.0, 2.0, 15.0, 13.0, 3.0, 0.0, 0.0, 0.0, 0.0, 10.0, 15.0, 11.0, 15.0, 0.0, 0.0, 0.0, 3.0, 16.0, 6.0, 0.0, 10.0, 0.0, 0.0, 0.0, 4.0, 16.0, 8.0, 0.0, 3.0, 8.0, 0.0, 0.0, 8.0, 14.0, 3.0, 0.0, 4.0, 8.0, 0.0, 0.0, 3.0, 15.0, 1.0, 0.0, 3.0, 7.0, 0.0, 0.0, 0.0, 14.0, 11.0, 6.0, 14.0, 5.0, 0.0, 0.0, 0.0, 4.0, 12.0, 15.0, 6.0, 0.0, 0.0], [0.0, 0.0, 1.0, 15.0, 13.0, 1.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 14.0, 8.0, 0.0, 0.0, 0.0, 8.0, 12.0, 9.0, 2.0, 13.0, 2.0, 0.0, 0.0, 7.0, 9.0, 1.0, 0.0, 6.0, 6.0, 0.0, 0.0, 5.0, 9.0, 0.0, 0.0, 3.0, 9.0, 0.0, 0.0, 0.0, 15.0, 2.0, 0.0, 8.0, 12.0, 0.0, 0.0, 0.0, 9.0, 15.0, 13.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 13.0, 14.0, 8.0, 0.0, 0.0], [0.0, 0.0, 0.0, 5.0, 14.0, 12.0, 2.0, 0.0, 0.0, 0.0, 7.0, 15.0, 8.0, 14.0, 4.0, 0.0, 0.0, 0.0, 6.0, 2.0, 3.0, 13.0, 1.0, 0.0, 0.0, 0.0, 0.0, 1.0, 13.0, 4.0, 0.0, 0.0, 0.0, 0.0, 1.0, 11.0, 9.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 14.0, 16.0, 11.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 12.0, 13.0, 3.0, 0.0], [0.0, 0.0, 0.0, 3.0, 15.0, 10.0, 1.0, 0.0, 0.0, 0.0, 0.0, 11.0, 10.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 12.0, 1.0, 15.0, 6.0, 0.0, 0.0, 0.0, 0.0, 3.0, 4.0, 15.0, 4.0, 0.0, 0.0, 0.0, 0.0, 6.0, 15.0, 6.0, 0.0, 0.0, 0.0, 4.0, 15.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 16.0, 15.0, 9.0, 3.0, 0.0, 0.0, 0.0, 0.0, 4.0, 9.0, 14.0, 7.0, 0.0], [0.0, 0.0, 3.0, 12.0, 16.0, 16.0, 6.0, 0.0, 0.0, 0.0, 10.0, 11.0, 7.0, 16.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 14.0, 10.0, 0.0, 0.0, 5.0, 11.0, 8.0, 9.0, 16.0, 3.0, 0.0, 0.0, 9.0, 16.0, 16.0, 16.0, 16.0, 9.0, 0.0, 0.0, 1.0, 4.0, 9.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 5.0, 0.0, 0.0, 0.0], [0.0, 0.0, 4.0, 8.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 8.0, 11.0, 0.0, 0.0, 0.0, 0.0, 5.0, 10.0, 0.0, 13.0, 2.0, 0.0, 0.0, 0.0, 0.0, 13.0, 4.0, 15.0, 2.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 8.0, 15.0, 14.0, 5.0, 0.0, 0.0, 0.0, 0.0, 16.0, 5.0, 14.0, 4.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 12.0, 1.0, 0.0, 0.0], [0.0, 0.0, 0.0, 1.0, 14.0, 14.0, 3.0, 0.0, 0.0, 0.0, 0.0, 10.0, 11.0, 13.0, 8.0, 0.0, 0.0, 0.0, 0.0, 7.0, 0.0, 13.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 15.0, 1.0, 0.0, 0.0, 4.0, 8.0, 12.0, 15.0, 4.0, 0.0, 0.0, 0.0, 6.0, 16.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 12.0, 12.0, 4.0, 2.0, 0.0, 0.0, 0.0, 0.0, 1.0, 13.0, 16.0, 5.0, 0.0], [0.0, 0.0, 2.0, 14.0, 15.0, 5.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 16.0, 15.0, 1.0, 0.0, 0.0, 3.0, 16.0, 10.0, 10.0, 16.0, 4.0, 0.0, 0.0, 5.0, 16.0, 0.0, 0.0, 14.0, 6.0, 0.0, 0.0, 5.0, 16.0, 6.0, 0.0, 12.0, 7.0, 0.0, 0.0, 1.0, 15.0, 13.0, 4.0, 13.0, 6.0, 0.0, 0.0, 0.0, 11.0, 16.0, 16.0, 15.0, 0.0, 0.0, 0.0, 0.0, 2.0, 11.0, 13.0, 4.0, 0.0, 0.0], [0.0, 0.0, 0.0, 0.0, 12.0, 13.0, 1.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 15.0, 2.0, 0.0, 0.0, 0.0, 10.0, 16.0, 16.0, 12.0, 0.0, 0.0, 0.0, 4.0, 16.0, 16.0, 16.0, 13.0, 0.0, 0.0, 0.0, 4.0, 7.0, 4.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 12.0, 0.0, 0.0], [0.0, 0.0, 0.0, 1.0, 9.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 16.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 7.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 7.0, 0.0, 0.0, 0.0, 0.0, 5.0, 12.0, 12.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 4.0, 9.0, 13.0, 16.0, 11.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 13.0, 3.0, 0.0], [0.0, 0.0, 0.0, 10.0, 13.0, 1.0, 0.0, 0.0, 0.0, 1.0, 11.0, 12.0, 7.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 15.0, 8.0, 4.0, 0.0, 0.0, 0.0, 4.0, 16.0, 16.0, 13.0, 16.0, 6.0, 0.0, 0.0, 0.0, 7.0, 16.0, 7.0, 13.0, 14.0, 0.0, 0.0, 0.0, 0.0, 7.0, 15.0, 15.0, 5.0, 0.0], [0.0, 1.0, 10.0, 15.0, 11.0, 1.0, 0.0, 0.0, 0.0, 3.0, 8.0, 8.0, 11.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 14.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0, 11.0, 15.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 15.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 10.0, 0.0, 0.0, 0.0, 0.0, 3.0, 4.0, 10.0, 16.0, 1.0, 0.0, 0.0, 0.0, 13.0, 16.0, 15.0, 10.0, 0.0, 0.0], [0.0, 0.0, 10.0, 15.0, 14.0, 4.0, 0.0, 0.0, 0.0, 0.0, 4.0, 6.0, 13.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 4.0, 0.0, 0.0, 1.0, 9.0, 5.0, 6.0, 16.0, 7.0, 0.0, 0.0, 0.0, 14.0, 12.0, 15.0, 11.0, 2.0, 0.0], [0.0, 0.0, 6.0, 13.0, 16.0, 6.0, 0.0, 0.0, 0.0, 3.0, 16.0, 14.0, 15.0, 16.0, 1.0, 0.0, 0.0, 0.0, 5.0, 0.0, 8.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 3.0, 0.0, 0.0, 3.0, 15.0, 16.0, 16.0, 16.0, 9.0, 0.0, 0.0, 5.0, 13.0, 14.0, 16.0, 11.0, 3.0, 0.0, 0.0, 0.0, 0.0, 12.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 7.0, 0.0, 0.0, 0.0], [0.0, 0.0, 14.0, 16.0, 14.0, 6.0, 0.0, 0.0, 0.0, 0.0, 7.0, 10.0, 16.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 13.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 7.0, 0.0, 0.0, 0.0, 5.0, 9.0, 14.0, 16.0, 7.0, 0.0, 0.0, 0.0, 13.0, 16.0, 16.0, 10.0, 1.0, 0.0], [0.0, 3.0, 16.0, 16.0, 14.0, 7.0, 1.0, 0.0, 0.0, 1.0, 9.0, 9.0, 15.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 12.0, 1.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 15.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 15.0, 0.0, 0.0, 0.0, 1.0, 10.0, 10.0, 16.0, 16.0, 3.0, 0.0, 0.0, 2.0, 13.0, 16.0, 12.0, 5.0, 0.0, 0.0], [0.0, 0.0, 0.0, 6.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 1.0, 13.0, 15.0, 1.0, 0.0, 0.0, 0.0, 1.0, 11.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 10.0, 0.0, 10.0, 6.0, 0.0, 0.0, 12.0, 16.0, 8.0, 9.0, 16.0, 12.0, 0.0, 0.0, 2.0, 15.0, 16.0, 16.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 3.0, 0.0, 0.0], [0.0, 0.0, 0.0, 9.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 13.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 15.0, 12.0, 7.0, 0.0, 0.0, 0.0, 2.0, 16.0, 12.0, 4.0, 11.0, 10.0, 0.0, 0.0, 0.0, 8.0, 14.0, 5.0, 9.0, 14.0, 0.0, 0.0, 0.0, 0.0, 6.0, 12.0, 14.0, 9.0, 0.0], [0.0, 0.0, 0.0, 10.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 15.0, 12.0, 8.0, 2.0, 0.0, 0.0, 0.0, 0.0, 12.0, 16.0, 16.0, 16.0, 10.0, 1.0, 0.0, 0.0, 7.0, 16.0, 12.0, 12.0, 16.0, 4.0, 0.0, 0.0, 0.0, 9.0, 15.0, 12.0, 5.0, 0.0], [0.0, 0.0, 5.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 2.0, 7.0, 4.0, 0.0, 0.0, 0.0, 3.0, 16.0, 16.0, 16.0, 16.0, 9.0, 0.0, 0.0, 0.0, 15.0, 15.0, 4.0, 10.0, 16.0, 0.0, 0.0, 0.0, 4.0, 14.0, 16.0, 12.0, 7.0, 0.0], [0.0, 0.0, 0.0, 9.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 3.0, 14.0, 10.0, 0.0, 2.0, 0.0, 0.0, 0.0, 10.0, 16.0, 5.0, 7.0, 15.0, 1.0, 0.0, 0.0, 2.0, 11.0, 15.0, 16.0, 13.0, 1.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 5.0, 0.0, 0.0], [0.0, 0.0, 6.0, 12.0, 13.0, 6.0, 0.0, 0.0, 0.0, 6.0, 16.0, 9.0, 12.0, 16.0, 2.0, 0.0, 0.0, 7.0, 16.0, 9.0, 15.0, 13.0, 0.0, 0.0, 0.0, 0.0, 11.0, 15.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 11.0, 0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 0.0, 14.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 16.0, 7.0, 0.0, 0.0, 0.0, 7.0, 16.0, 8.0, 16.0, 2.0, 0.0, 0.0, 0.0, 1.0, 5.0, 6.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 11.0, 0.0, 0.0], [0.0, 1.0, 13.0, 15.0, 12.0, 12.0, 5.0, 0.0, 0.0, 4.0, 16.0, 8.0, 8.0, 6.0, 0.0, 0.0, 0.0, 7.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 15.0, 13.0, 15.0, 7.0, 0.0, 0.0, 0.0, 1.0, 6.0, 5.0, 8.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 11.0, 0.0, 0.0, 0.0, 0.0, 2.0, 13.0, 14.0, 1.0, 0.0, 0.0, 0.0, 3.0, 14.0, 10.0, 1.0, 0.0, 0.0, 0.0], [0.0, 0.0, 1.0, 13.0, 10.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 16.0, 16.0, 7.0, 0.0, 0.0, 0.0, 8.0, 16.0, 13.0, 10.0, 15.0, 0.0, 0.0, 0.0, 8.0, 16.0, 2.0, 2.0, 15.0, 3.0, 0.0, 0.0, 5.0, 15.0, 2.0, 0.0, 12.0, 7.0, 0.0, 0.0, 1.0, 15.0, 6.0, 2.0, 16.0, 3.0, 0.0, 0.0, 0.0, 11.0, 15.0, 13.0, 16.0, 0.0, 0.0, 0.0, 0.0, 1.0, 15.0, 14.0, 8.0, 0.0, 0.0], [0.0, 1.0, 12.0, 13.0, 4.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 16.0, 16.0, 3.0, 0.0, 0.0, 0.0, 4.0, 16.0, 16.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 14.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 7.0, 0.0, 0.0, 1.0, 2.0, 3.0, 7.0, 14.0, 10.0, 0.0, 0.0, 2.0, 12.0, 16.0, 14.0, 12.0, 3.0, 0.0], [0.0, 0.0, 13.0, 13.0, 8.0, 2.0, 0.0, 0.0, 0.0, 5.0, 16.0, 16.0, 16.0, 12.0, 0.0, 0.0, 0.0, 1.0, 15.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 13.0, 7.0, 1.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 16.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 9.0, 16.0, 3.0, 0.0, 0.0, 0.0, 1.0, 5.0, 14.0, 15.0, 1.0, 0.0, 0.0, 0.0, 10.0, 16.0, 16.0, 6.0, 0.0, 0.0], [0.0, 0.0, 0.0, 0.0, 9.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 5.0, 9.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 15.0, 7.0, 0.0, 0.0, 0.0, 7.0, 16.0, 16.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 14.0, 16.0, 7.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 15.0, 9.0, 0.0], [0.0, 3.0, 5.0, 14.0, 13.0, 6.0, 0.0, 0.0, 0.0, 9.0, 16.0, 12.0, 10.0, 12.0, 0.0, 0.0, 0.0, 6.0, 16.0, 3.0, 12.0, 11.0, 0.0, 0.0, 0.0, 1.0, 13.0, 10.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 1.0, 15.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 12.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 15.0, 16.0, 5.0, 0.0, 0.0], [0.0, 0.0, 0.0, 0.0, 11.0, 15.0, 4.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 16.0, 12.0, 0.0, 0.0, 0.0, 0.0, 8.0, 14.0, 16.0, 12.0, 0.0, 0.0, 0.0, 0.0, 5.0, 10.0, 16.0, 6.0, 0.0, 0.0, 1.0, 7.0, 11.0, 16.0, 13.0, 0.0, 0.0, 0.0, 9.0, 16.0, 16.0, 14.0, 1.0, 0.0, 0.0, 0.0, 3.0, 8.0, 14.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 11.0, 16.0, 12.0, 0.0], [0.0, 0.0, 10.0, 12.0, 10.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 16.0, 16.0, 4.0, 0.0, 0.0, 0.0, 7.0, 15.0, 3.0, 8.0, 13.0, 0.0, 0.0, 0.0, 8.0, 12.0, 0.0, 0.0, 14.0, 1.0, 0.0, 0.0, 8.0, 12.0, 0.0, 0.0, 7.0, 8.0, 0.0, 0.0, 5.0, 13.0, 0.0, 0.0, 4.0, 8.0, 0.0, 0.0, 0.0, 14.0, 8.0, 0.0, 10.0, 8.0, 0.0, 0.0, 0.0, 7.0, 12.0, 13.0, 12.0, 4.0, 0.0], [0.0, 0.0, 4.0, 14.0, 11.0, 0.0, 0.0, 0.0, 0.0, 3.0, 15.0, 15.0, 16.0, 9.0, 0.0, 0.0, 0.0, 8.0, 13.0, 0.0, 3.0, 15.0, 1.0, 0.0, 0.0, 8.0, 12.0, 0.0, 0.0, 8.0, 6.0, 0.0, 0.0, 8.0, 12.0, 0.0, 0.0, 8.0, 8.0, 0.0, 0.0, 5.0, 13.0, 1.0, 0.0, 8.0, 8.0, 0.0, 0.0, 2.0, 15.0, 14.0, 12.0, 15.0, 6.0, 0.0, 0.0, 0.0, 5.0, 16.0, 15.0, 8.0, 0.0, 0.0], [0.0, 0.0, 0.0, 1.0, 14.0, 13.0, 1.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 16.0, 3.0, 0.0, 0.0, 5.0, 11.0, 15.0, 16.0, 16.0, 0.0, 0.0, 0.0, 4.0, 15.0, 16.0, 16.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 13.0, 15.0, 2.0, 0.0], [0.0, 0.0, 3.0, 14.0, 16.0, 14.0, 0.0, 0.0, 0.0, 0.0, 13.0, 13.0, 13.0, 16.0, 2.0, 0.0, 0.0, 0.0, 1.0, 0.0, 9.0, 15.0, 0.0, 0.0, 0.0, 0.0, 9.0, 12.0, 15.0, 16.0, 10.0, 0.0, 0.0, 4.0, 16.0, 16.0, 16.0, 11.0, 3.0, 0.0, 0.0, 0.0, 4.0, 9.0, 14.0, 2.0, 0.0, 0.0, 0.0, 0.0, 2.0, 15.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 13.0, 1.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 10.0, 15.0, 3.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 13.0, 8.0, 1.0, 0.0, 0.0, 0.0, 0.0, 15.0, 16.0, 16.0, 15.0, 6.0, 0.0, 0.0, 0.0, 10.0, 16.0, 14.0, 16.0, 14.0, 2.0, 0.0, 0.0, 1.0, 9.0, 15.0, 16.0, 11.0, 0.0], [0.0, 2.0, 13.0, 15.0, 10.0, 4.0, 0.0, 0.0, 0.0, 0.0, 5.0, 4.0, 13.0, 15.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 13.0, 0.0, 0.0, 0.0, 1.0, 6.0, 8.0, 14.0, 12.0, 0.0, 0.0, 0.0, 2.0, 12.0, 14.0, 11.0, 1.0, 0.0, 0.0], [0.0, 1.0, 13.0, 15.0, 2.0, 0.0, 0.0, 0.0, 0.0, 6.0, 15.0, 15.0, 9.0, 0.0, 0.0, 0.0, 0.0, 9.0, 8.0, 10.0, 13.0, 0.0, 0.0, 0.0, 0.0, 5.0, 3.0, 12.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 5.0, 15.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 15.0, 12.0, 12.0, 11.0, 0.0, 0.0, 1.0, 11.0, 13.0, 16.0, 16.0, 12.0, 0.0], [0.0, 0.0, 0.0, 1.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 16.0, 11.0, 0.0, 0.0, 0.0, 7.0, 12.0, 16.0, 16.0, 7.0, 0.0, 0.0, 0.0, 4.0, 8.0, 12.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 13.0, 5.0, 0.0, 0.0], [0.0, 0.0, 2.0, 7.0, 15.0, 13.0, 1.0, 0.0, 0.0, 0.0, 14.0, 12.0, 9.0, 14.0, 8.0, 0.0, 0.0, 0.0, 2.0, 0.0, 0.0, 12.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 6.0, 0.0, 0.0, 5.0, 16.0, 16.0, 16.0, 16.0, 5.0, 0.0, 0.0, 2.0, 5.0, 7.0, 13.0, 14.0, 2.0, 0.0, 0.0, 0.0, 0.0, 1.0, 15.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 9.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 9.0, 16.0, 4.0, 0.0, 0.0, 0.0, 1.0, 9.0, 16.0, 13.0, 2.0, 0.0, 0.0, 0.0, 14.0, 16.0, 14.0, 8.0, 0.0, 0.0, 0.0, 1.0, 15.0, 15.0, 5.0, 16.0, 9.0, 0.0, 0.0, 0.0, 5.0, 16.0, 16.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 2.0, 13.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 13.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 10.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 16.0, 15.0, 6.0, 0.0, 0.0, 0.0, 0.0, 12.0, 16.0, 12.0, 15.0, 6.0, 0.0, 0.0, 0.0, 7.0, 16.0, 10.0, 13.0, 14.0, 0.0, 0.0, 0.0, 0.0, 9.0, 13.0, 11.0, 6.0, 0.0], [0.0, 0.0, 13.0, 16.0, 15.0, 4.0, 0.0, 0.0, 0.0, 0.0, 9.0, 8.0, 13.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 15.0, 0.0, 0.0, 0.0, 0.0, 3.0, 6.0, 15.0, 16.0, 7.0, 0.0, 0.0, 0.0, 15.0, 16.0, 16.0, 11.0, 1.0, 0.0], [0.0, 0.0, 0.0, 1.0, 12.0, 8.0, 1.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 16.0, 1.0, 0.0, 0.0, 0.0, 1.0, 13.0, 16.0, 11.0, 0.0, 0.0, 0.0, 1.0, 11.0, 16.0, 16.0, 12.0, 0.0, 0.0, 0.0, 2.0, 12.0, 8.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 13.0, 4.0, 0.0, 0.0], [0.0, 4.0, 14.0, 16.0, 16.0, 12.0, 1.0, 0.0, 0.0, 2.0, 12.0, 7.0, 14.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 15.0, 11.0, 0.0, 0.0, 0.0, 1.0, 8.0, 10.0, 16.0, 10.0, 0.0, 0.0, 0.0, 5.0, 16.0, 16.0, 15.0, 1.0, 0.0, 0.0], [0.0, 0.0, 9.0, 13.0, 14.0, 5.0, 0.0, 0.0, 0.0, 4.0, 16.0, 10.0, 13.0, 16.0, 0.0, 0.0, 0.0, 0.0, 13.0, 15.0, 14.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 3.0, 7.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 3.0, 0.0, 0.0, 1.0, 15.0, 5.0, 8.0, 16.0, 2.0, 0.0, 0.0, 0.0, 7.0, 15.0, 16.0, 9.0, 0.0, 0.0], [0.0, 0.0, 0.0, 11.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 16.0, 5.0, 0.0, 0.0, 0.0, 11.0, 16.0, 16.0, 16.0, 3.0, 0.0, 0.0, 0.0, 5.0, 8.0, 14.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 8.0, 0.0, 0.0], [0.0, 0.0, 3.0, 12.0, 16.0, 10.0, 0.0, 0.0, 0.0, 2.0, 14.0, 12.0, 12.0, 12.0, 0.0, 0.0, 0.0, 5.0, 10.0, 0.0, 10.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 14.0, 9.0, 2.0, 0.0, 0.0, 0.0, 8.0, 16.0, 16.0, 16.0, 10.0, 0.0, 0.0, 0.0, 6.0, 16.0, 13.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 13.0, 0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 11.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 13.0, 3.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 16.0, 16.0, 5.0, 0.0, 0.0, 0.0, 1.0, 10.0, 16.0, 16.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 16.0, 15.0, 0.0, 0.0], [0.0, 1.0, 9.0, 16.0, 15.0, 10.0, 0.0, 0.0, 0.0, 6.0, 16.0, 8.0, 7.0, 16.0, 3.0, 0.0, 0.0, 0.0, 11.0, 14.0, 16.0, 11.0, 1.0, 0.0, 0.0, 1.0, 13.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 8.0, 15.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 5.0, 14.0, 10.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 7.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 8.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 3.0, 14.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 12.0, 1.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 5.0, 3.0, 0.0, 0.0, 0.0, 3.0, 15.0, 11.0, 5.0, 16.0, 2.0, 0.0, 0.0, 5.0, 16.0, 11.0, 11.0, 16.0, 6.0, 0.0, 0.0, 0.0, 6.0, 12.0, 16.0, 13.0, 3.0, 0.0, 0.0, 0.0, 0.0, 1.0, 15.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 7.0, 0.0, 0.0], [0.0, 2.0, 15.0, 16.0, 16.0, 13.0, 2.0, 0.0, 0.0, 1.0, 10.0, 8.0, 14.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 1.0, 0.0, 0.0, 2.0, 14.0, 13.0, 16.0, 16.0, 3.0, 0.0, 0.0, 2.0, 15.0, 16.0, 14.0, 5.0, 0.0, 0.0], [0.0, 0.0, 1.0, 15.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 16.0, 13.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 16.0, 13.0, 0.0, 0.0, 0.0, 0.0, 1.0, 11.0, 16.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 14.0, 16.0, 3.0, 0.0, 0.0], [0.0, 0.0, 0.0, 2.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 5.0, 2.0, 0.0, 0.0, 0.0, 0.0, 15.0, 12.0, 1.0, 16.0, 4.0, 0.0, 0.0, 4.0, 16.0, 2.0, 9.0, 16.0, 8.0, 0.0, 0.0, 0.0, 10.0, 14.0, 16.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 6.0, 0.0, 0.0], [0.0, 0.0, 1.0, 12.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 14.0, 3.0, 0.0, 0.0, 0.0, 2.0, 16.0, 14.0, 11.0, 13.0, 0.0, 0.0, 0.0, 2.0, 16.0, 10.0, 0.0, 14.0, 4.0, 0.0, 0.0, 4.0, 16.0, 0.0, 0.0, 12.0, 4.0, 0.0, 0.0, 4.0, 16.0, 3.0, 0.0, 11.0, 10.0, 0.0, 0.0, 0.0, 13.0, 12.0, 8.0, 14.0, 6.0, 0.0, 0.0, 0.0, 3.0, 10.0, 16.0, 12.0, 1.0, 0.0], [0.0, 0.0, 12.0, 16.0, 16.0, 8.0, 0.0, 0.0, 0.0, 3.0, 16.0, 13.0, 8.0, 5.0, 0.0, 0.0, 0.0, 2.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 13.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 10.0, 13.0, 0.0, 0.0, 0.0, 0.0, 2.0, 11.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 12.0, 0.0, 0.0, 0.0], [0.0, 4.0, 13.0, 16.0, 16.0, 12.0, 3.0, 0.0, 0.0, 3.0, 7.0, 4.0, 13.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 8.0, 15.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 12.0, 0.0, 0.0, 0.0, 0.0, 1.0, 7.0, 12.0, 11.0, 0.0, 0.0, 0.0, 0.0, 3.0, 15.0, 12.0, 2.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 8.0, 14.0, 4.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 12.0, 14.0, 6.0, 0.0, 0.0, 0.0, 0.0, 12.0, 15.0, 11.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 13.0, 8.0, 0.0, 0.0], [0.0, 0.0, 9.0, 15.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 14.0, 13.0, 7.0, 0.0, 0.0, 0.0, 0.0, 6.0, 14.0, 10.0, 13.0, 1.0, 0.0, 0.0, 0.0, 0.0, 9.0, 12.0, 15.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 14.0, 0.0, 0.0, 0.0, 3.0, 8.0, 9.0, 15.0, 15.0, 0.0, 0.0, 0.0, 5.0, 12.0, 12.0, 9.0, 1.0, 0.0], [0.0, 0.0, 0.0, 5.0, 11.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 14.0, 2.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 15.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 16.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 9.0, 15.0, 6.0, 0.0, 0.0, 0.0, 0.0, 6.0, 14.0, 16.0, 8.0, 0.0], [0.0, 0.0, 0.0, 0.0, 6.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 16.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 16.0, 15.0, 0.0, 0.0, 0.0, 3.0, 15.0, 7.0, 15.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 15.0, 0.0, 0.0], [0.0, 0.0, 2.0, 11.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 12.0, 9.0, 11.0, 15.0, 1.0, 0.0, 0.0, 0.0, 2.0, 0.0, 4.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 8.0, 15.0, 1.0, 0.0, 0.0, 4.0, 16.0, 16.0, 16.0, 15.0, 7.0, 0.0, 0.0, 3.0, 6.0, 4.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 7.0, 0.0, 0.0, 0.0], [0.0, 0.0, 15.0, 16.0, 16.0, 12.0, 2.0, 0.0, 0.0, 2.0, 16.0, 15.0, 12.0, 12.0, 3.0, 0.0, 0.0, 4.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 12.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 16.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 8.0, 0.0, 0.0, 0.0, 2.0, 6.0, 9.0, 16.0, 8.0, 0.0, 0.0, 0.0, 1.0, 15.0, 16.0, 15.0, 3.0, 0.0, 0.0], [0.0, 0.0, 0.0, 10.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 15.0, 3.0, 0.0, 0.0, 0.0, 0.0, 7.0, 15.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 11.0, 1.0, 3.0, 8.0, 2.0, 0.0, 0.0, 4.0, 12.0, 15.0, 15.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 8.0, 2.0, 0.0, 0.0, 0.0, 0.0, 10.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 9.0, 0.0, 0.0, 0.0], [0.0, 0.0, 1.0, 10.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 15.0, 4.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 1.0, 4.0, 14.0, 4.0, 0.0, 0.0, 4.0, 16.0, 12.0, 14.0, 16.0, 5.0, 0.0, 0.0, 0.0, 1.0, 7.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 13.0, 0.0, 0.0, 0.0], [0.0, 0.0, 3.0, 11.0, 16.0, 13.0, 0.0, 0.0, 0.0, 3.0, 15.0, 15.0, 13.0, 16.0, 0.0, 0.0, 0.0, 6.0, 8.0, 2.0, 9.0, 14.0, 0.0, 0.0, 0.0, 0.0, 4.0, 7.0, 15.0, 14.0, 5.0, 0.0, 0.0, 4.0, 16.0, 16.0, 16.0, 14.0, 6.0, 0.0, 0.0, 1.0, 8.0, 13.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 15.0, 1.0, 0.0, 0.0, 0.0], [0.0, 0.0, 2.0, 16.0, 13.0, 1.0, 0.0, 0.0, 0.0, 0.0, 6.0, 15.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 3.0, 6.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 1.0, 13.0, 13.0, 0.0, 0.0, 0.0, 0.0, 6.0, 14.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 16.0, 13.0, 10.0, 3.0, 0.0, 0.0, 0.0, 4.0, 11.0, 15.0, 16.0, 10.0, 0.0], [0.0, 0.0, 4.0, 9.0, 13.0, 5.0, 0.0, 0.0, 0.0, 1.0, 16.0, 16.0, 12.0, 11.0, 0.0, 0.0, 0.0, 0.0, 11.0, 8.0, 5.0, 16.0, 0.0, 0.0, 0.0, 0.0, 7.0, 10.0, 13.0, 10.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 15.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 9.0, 14.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 8.0, 0.0, 0.0], [0.0, 0.0, 0.0, 8.0, 15.0, 8.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 12.0, 16.0, 4.0, 0.0, 0.0, 0.0, 2.0, 10.0, 1.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 15.0, 3.0, 0.0, 0.0, 0.0, 3.0, 16.0, 14.0, 4.0, 0.0, 0.0, 0.0, 0.0, 4.0, 15.0, 14.0, 7.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 12.0, 14.0, 4.0, 0.0], [0.0, 0.0, 1.0, 10.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 11.0, 13.0, 10.0, 16.0, 0.0, 0.0, 0.0, 0.0, 12.0, 1.0, 4.0, 16.0, 1.0, 0.0, 0.0, 0.0, 1.0, 0.0, 13.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 12.0, 0.0, 0.0, 0.0, 0.0, 2.0, 13.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0, 4.0, 15.0, 14.0, 7.0, 4.0, 0.0, 0.0, 0.0, 0.0, 1.0, 11.0, 14.0, 15.0, 5.0, 0.0], [0.0, 2.0, 15.0, 16.0, 16.0, 14.0, 2.0, 0.0, 0.0, 3.0, 16.0, 14.0, 9.0, 10.0, 1.0, 0.0, 0.0, 7.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 14.0, 15.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 13.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 11.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 13.0, 1.0, 0.0, 0.0, 0.0], [0.0, 0.0, 9.0, 12.0, 15.0, 15.0, 2.0, 0.0, 0.0, 1.0, 15.0, 14.0, 11.0, 16.0, 7.0, 0.0, 0.0, 0.0, 2.0, 0.0, 2.0, 16.0, 4.0, 0.0, 0.0, 0.0, 2.0, 4.0, 10.0, 15.0, 2.0, 0.0, 0.0, 0.0, 13.0, 16.0, 16.0, 16.0, 9.0, 0.0, 0.0, 0.0, 13.0, 16.0, 10.0, 1.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 9.0, 0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 12.0, 14.0, 1.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 10.0, 5.0, 0.0, 0.0, 0.0, 0.0, 8.0, 13.0, 5.0, 14.0, 0.0, 0.0, 0.0, 0.0, 2.0, 14.0, 16.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 10.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 0.0, 0.0, 0.0, 2.0, 6.0, 4.0, 9.0, 16.0, 0.0, 0.0, 0.0, 1.0, 11.0, 16.0, 15.0, 7.0, 0.0], [0.0, 0.0, 6.0, 13.0, 2.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 16.0, 16.0, 11.0, 0.0, 0.0, 0.0, 0.0, 12.0, 11.0, 1.0, 6.0, 1.0, 0.0, 0.0, 0.0, 12.0, 14.0, 10.0, 2.0, 0.0, 0.0, 0.0, 0.0, 1.0, 8.0, 12.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 14.0, 0.0, 0.0, 0.0, 0.0, 4.0, 9.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 9.0, 14.0, 4.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 12.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 13.0, 11.0, 12.0, 2.0, 0.0, 0.0, 12.0, 16.0, 10.0, 15.0, 16.0, 9.0, 0.0, 0.0, 4.0, 14.0, 16.0, 16.0, 12.0, 4.0, 0.0, 0.0, 0.0, 0.0, 14.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 13.0, 0.0, 0.0, 0.0], [0.0, 0.0, 3.0, 6.0, 14.0, 5.0, 0.0, 0.0, 0.0, 0.0, 7.0, 15.0, 15.0, 13.0, 0.0, 0.0, 0.0, 0.0, 3.0, 14.0, 13.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 13.0, 1.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 9.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 4.0, 15.0, 2.0, 0.0, 0.0, 0.0, 0.0, 4.0, 15.0, 14.0, 0.0, 0.0, 0.0], [0.0, 0.0, 5.0, 14.0, 15.0, 4.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 16.0, 14.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 15.0, 14.0, 5.0, 0.0, 0.0, 0.0, 0.0, 12.0, 12.0, 8.0, 15.0, 1.0, 0.0, 0.0, 0.0, 5.0, 16.0, 16.0, 16.0, 2.0, 0.0], [0.0, 0.0, 0.0, 8.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 11.0, 0.0, 0.0, 0.0, 0.0, 1.0, 15.0, 14.0, 1.0, 6.0, 0.0, 0.0, 0.0, 7.0, 16.0, 5.0, 3.0, 16.0, 8.0, 0.0, 0.0, 8.0, 16.0, 8.0, 14.0, 16.0, 2.0, 0.0, 0.0, 0.0, 6.0, 14.0, 16.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 15.0, 0.0, 0.0, 0.0], [0.0, 0.0, 12.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 5.0, 12.0, 3.0, 0.0, 0.0, 0.0, 0.0, 14.0, 6.0, 3.0, 16.0, 2.0, 0.0, 0.0, 0.0, 2.0, 14.0, 16.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 8.0, 0.0, 0.0, 0.0, 0.0, 8.0, 2.0, 13.0, 7.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 16.0, 3.0, 0.0, 0.0], [0.0, 0.0, 3.0, 12.0, 10.0, 1.0, 0.0, 0.0, 0.0, 1.0, 16.0, 16.0, 16.0, 10.0, 0.0, 0.0, 0.0, 5.0, 16.0, 13.0, 6.0, 16.0, 1.0, 0.0, 0.0, 5.0, 16.0, 7.0, 0.0, 13.0, 3.0, 0.0, 0.0, 5.0, 16.0, 4.0, 0.0, 13.0, 7.0, 0.0, 0.0, 1.0, 16.0, 8.0, 0.0, 14.0, 7.0, 0.0, 0.0, 0.0, 13.0, 14.0, 13.0, 16.0, 3.0, 0.0, 0.0, 0.0, 2.0, 13.0, 15.0, 6.0, 0.0, 0.0], [0.0, 0.0, 5.0, 4.0, 9.0, 10.0, 0.0, 0.0, 0.0, 0.0, 10.0, 8.0, 11.0, 16.0, 2.0, 0.0, 0.0, 0.0, 8.0, 12.0, 14.0, 14.0, 1.0, 0.0, 0.0, 0.0, 5.0, 15.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 14.0, 13.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 13.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 5.0, 0.0, 0.0, 0.0], [0.0, 0.0, 1.0, 11.0, 15.0, 8.0, 0.0, 0.0, 0.0, 0.0, 12.0, 14.0, 10.0, 16.0, 5.0, 0.0, 0.0, 0.0, 16.0, 7.0, 13.0, 16.0, 4.0, 0.0, 0.0, 0.0, 9.0, 15.0, 13.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 15.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 4.0, 0.0, 0.0, 8.0, 16.0, 14.0, 9.0, 16.0, 4.0, 0.0, 0.0, 0.0, 2.0, 10.0, 15.0, 15.0, 2.0, 0.0], [0.0, 0.0, 7.0, 13.0, 15.0, 5.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 16.0, 12.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 15.0, 3.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 12.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 13.0, 10.0, 0.0, 0.0, 0.0], [0.0, 0.0, 2.0, 12.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 15.0, 12.0, 5.0, 0.0, 0.0, 0.0, 0.0, 15.0, 5.0, 0.0, 14.0, 0.0, 0.0, 0.0, 2.0, 15.0, 1.0, 0.0, 9.0, 7.0, 0.0, 0.0, 4.0, 10.0, 0.0, 0.0, 7.0, 8.0, 0.0, 0.0, 0.0, 12.0, 0.0, 0.0, 8.0, 10.0, 0.0, 0.0, 2.0, 15.0, 5.0, 10.0, 16.0, 1.0, 0.0, 0.0, 0.0, 5.0, 14.0, 12.0, 4.0, 0.0, 0.0], [0.0, 0.0, 0.0, 0.0, 5.0, 15.0, 8.0, 0.0, 0.0, 0.0, 0.0, 2.0, 15.0, 16.0, 9.0, 0.0, 0.0, 0.0, 3.0, 15.0, 16.0, 16.0, 10.0, 0.0, 0.0, 7.0, 16.0, 10.0, 8.0, 16.0, 7.0, 0.0, 0.0, 0.0, 1.0, 0.0, 8.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 14.0, 0.0, 0.0], [0.0, 2.0, 15.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 15.0, 14.0, 0.0, 0.0, 0.0, 0.0, 5.0, 13.0, 10.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 15.0, 2.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 10.0, 8.0, 6.0, 1.0, 0.0, 0.0, 2.0, 15.0, 16.0, 16.0, 16.0, 7.0, 0.0], [0.0, 3.0, 16.0, 16.0, 12.0, 12.0, 6.0, 0.0, 0.0, 0.0, 4.0, 4.0, 5.0, 14.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 14.0, 0.0, 0.0, 0.0, 0.0, 3.0, 7.0, 15.0, 4.0, 0.0, 0.0, 0.0, 3.0, 16.0, 14.0, 4.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 3.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 16.0, 4.0, 0.0, 0.0, 0.0, 7.0, 16.0, 15.0, 16.0, 12.0, 11.0, 0.0, 0.0, 8.0, 16.0, 16.0, 16.0, 13.0, 3.0, 0.0, 0.0, 0.0, 0.0, 7.0, 14.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 14.0, 0.0, 0.0, 0.0], [0.0, 4.0, 16.0, 16.0, 16.0, 10.0, 3.0, 0.0, 0.0, 12.0, 16.0, 9.0, 8.0, 12.0, 3.0, 0.0, 0.0, 10.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 16.0, 1.0, 0.0, 0.0, 0.0, 3.0, 10.0, 15.0, 15.0, 1.0, 0.0, 0.0, 0.0, 4.0, 16.0, 13.0, 3.0, 0.0, 0.0, 0.0], [0.0, 0.0, 2.0, 15.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 16.0, 15.0, 5.0, 0.0, 0.0, 0.0, 4.0, 16.0, 5.0, 3.0, 13.0, 7.0, 0.0, 0.0, 1.0, 14.0, 9.0, 0.0, 8.0, 13.0, 0.0, 0.0, 0.0, 2.0, 13.0, 16.0, 16.0, 8.0, 0.0], [0.0, 0.0, 2.0, 15.0, 15.0, 3.0, 0.0, 0.0, 0.0, 0.0, 8.0, 14.0, 16.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 14.0, 3.0, 0.0, 0.0, 0.0, 4.0, 12.0, 16.0, 16.0, 7.0, 0.0, 0.0, 0.0, 11.0, 16.0, 12.0, 1.0, 0.0, 0.0, 0.0, 0.0, 1.0, 14.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 12.0, 1.0, 0.0, 0.0, 0.0], [0.0, 0.0, 5.0, 12.0, 13.0, 2.0, 0.0, 0.0, 0.0, 3.0, 16.0, 14.0, 16.0, 13.0, 1.0, 0.0, 0.0, 4.0, 16.0, 9.0, 16.0, 12.0, 1.0, 0.0, 0.0, 1.0, 9.0, 16.0, 15.0, 1.0, 0.0, 0.0, 0.0, 1.0, 13.0, 16.0, 16.0, 5.0, 0.0, 0.0, 0.0, 3.0, 16.0, 5.0, 12.0, 16.0, 0.0, 0.0, 0.0, 3.0, 15.0, 7.0, 14.0, 12.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 13.0, 3.0, 0.0, 0.0], [0.0, 0.0, 5.0, 15.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 11.0, 13.0, 8.0, 0.0, 0.0, 0.0, 0.0, 11.0, 9.0, 10.0, 16.0, 0.0, 0.0, 0.0, 0.0, 3.0, 15.0, 16.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 8.0, 0.0, 0.0, 0.0, 6.0, 3.0, 0.0, 14.0, 6.0, 0.0, 0.0, 0.0, 2.0, 13.0, 16.0, 15.0, 3.0, 0.0], [0.0, 0.0, 12.0, 9.0, 12.0, 1.0, 0.0, 0.0, 0.0, 0.0, 14.0, 16.0, 16.0, 8.0, 0.0, 0.0, 0.0, 3.0, 16.0, 9.0, 3.0, 15.0, 2.0, 0.0, 0.0, 4.0, 16.0, 1.0, 0.0, 16.0, 5.0, 0.0, 0.0, 5.0, 12.0, 0.0, 0.0, 16.0, 5.0, 0.0, 0.0, 3.0, 14.0, 1.0, 4.0, 16.0, 4.0, 0.0, 0.0, 0.0, 15.0, 12.0, 14.0, 14.0, 0.0, 0.0, 0.0, 0.0, 7.0, 12.0, 12.0, 2.0, 0.0, 0.0], [0.0, 0.0, 0.0, 0.0, 7.0, 13.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 16.0, 8.0, 0.0, 0.0, 0.0, 1.0, 13.0, 16.0, 16.0, 3.0, 0.0, 0.0, 0.0, 12.0, 16.0, 16.0, 16.0, 0.0, 0.0, 0.0, 8.0, 16.0, 3.0, 16.0, 13.0, 0.0, 0.0, 0.0, 2.0, 3.0, 0.0, 16.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 12.0, 0.0, 0.0], [0.0, 0.0, 13.0, 14.0, 8.0, 1.0, 0.0, 0.0, 0.0, 1.0, 16.0, 16.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 3.0, 5.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 11.0, 4.0, 4.0, 0.0, 0.0, 0.0, 1.0, 13.0, 14.0, 12.0, 12.0, 0.0, 0.0], [0.0, 6.0, 16.0, 16.0, 15.0, 7.0, 0.0, 0.0, 0.0, 2.0, 11.0, 12.0, 16.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 15.0, 2.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 9.0, 0.0, 0.0, 0.0, 3.0, 7.0, 12.0, 16.0, 7.0, 0.0, 0.0, 3.0, 16.0, 16.0, 15.0, 11.0, 1.0, 0.0], [0.0, 0.0, 0.0, 5.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 15.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 13.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 15.0, 13.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 16.0, 16.0, 15.0, 9.0, 0.0, 0.0, 0.0, 4.0, 10.0, 14.0, 8.0, 5.0, 0.0, 0.0, 0.0, 0.0, 8.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 10.0, 0.0, 0.0, 0.0], [0.0, 4.0, 15.0, 16.0, 16.0, 16.0, 4.0, 0.0, 0.0, 4.0, 16.0, 15.0, 9.0, 7.0, 1.0, 0.0, 0.0, 0.0, 15.0, 14.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 5.0, 0.0, 0.0, 0.0, 3.0, 10.0, 13.0, 16.0, 4.0, 0.0, 0.0, 0.0, 5.0, 16.0, 16.0, 12.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 6.0, 14.0, 1.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 15.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 13.0, 8.0, 5.0, 0.0, 0.0, 0.0, 2.0, 16.0, 14.0, 12.0, 16.0, 3.0, 0.0, 0.0, 1.0, 16.0, 11.0, 0.0, 5.0, 12.0, 0.0, 0.0, 0.0, 11.0, 15.0, 5.0, 12.0, 12.0, 0.0, 0.0, 0.0, 0.0, 9.0, 15.0, 14.0, 6.0, 0.0], [0.0, 0.0, 3.0, 15.0, 14.0, 1.0, 0.0, 0.0, 0.0, 0.0, 13.0, 16.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 4.0, 4.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 10.0, 1.0, 0.0, 0.0, 0.0, 7.0, 16.0, 16.0, 16.0, 8.0, 0.0, 0.0, 0.0, 12.0, 15.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 12.0, 1.0, 0.0, 0.0, 0.0], [0.0, 0.0, 3.0, 13.0, 13.0, 3.0, 0.0, 0.0, 0.0, 2.0, 14.0, 12.0, 12.0, 11.0, 0.0, 0.0, 0.0, 4.0, 16.0, 8.0, 5.0, 15.0, 3.0, 0.0, 0.0, 1.0, 13.0, 14.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 13.0, 1.0, 0.0, 0.0, 0.0, 1.0, 16.0, 12.0, 13.0, 14.0, 1.0, 0.0, 0.0, 0.0, 13.0, 13.0, 9.0, 16.0, 7.0, 0.0, 0.0, 0.0, 3.0, 13.0, 16.0, 10.0, 1.0, 0.0], [0.0, 0.0, 6.0, 13.0, 10.0, 4.0, 0.0, 0.0, 0.0, 4.0, 16.0, 15.0, 13.0, 13.0, 0.0, 0.0, 0.0, 4.0, 16.0, 14.0, 16.0, 16.0, 1.0, 0.0, 0.0, 2.0, 10.0, 16.0, 16.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 2.0, 8.0, 16.0, 8.0, 0.0, 0.0, 0.0, 7.0, 16.0, 14.0, 9.0, 1.0, 0.0], [0.0, 0.0, 2.0, 12.0, 4.0, 0.0, 0.0, 0.0, 0.0, 1.0, 12.0, 16.0, 16.0, 3.0, 0.0, 0.0, 0.0, 7.0, 16.0, 6.0, 4.0, 13.0, 0.0, 0.0, 0.0, 8.0, 16.0, 6.0, 0.0, 13.0, 5.0, 0.0, 0.0, 1.0, 16.0, 5.0, 0.0, 7.0, 9.0, 0.0, 0.0, 0.0, 16.0, 8.0, 0.0, 8.0, 12.0, 0.0, 0.0, 0.0, 13.0, 14.0, 14.0, 16.0, 10.0, 0.0, 0.0, 0.0, 4.0, 14.0, 15.0, 7.0, 0.0, 0.0], [0.0, 0.0, 0.0, 0.0, 5.0, 14.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 16.0, 5.0, 0.0, 0.0, 1.0, 13.0, 15.0, 12.0, 16.0, 1.0, 0.0, 0.0, 4.0, 12.0, 3.0, 10.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 13.0, 4.0, 0.0], [0.0, 0.0, 6.0, 13.0, 10.0, 3.0, 0.0, 0.0, 0.0, 5.0, 15.0, 11.0, 16.0, 11.0, 0.0, 0.0, 0.0, 2.0, 6.0, 0.0, 16.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 5.0, 15.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 8.0, 4.0, 0.0, 0.0, 0.0, 0.0, 8.0, 14.0, 13.0, 12.0, 4.0, 0.0], [0.0, 1.0, 11.0, 12.0, 14.0, 6.0, 0.0, 0.0, 0.0, 1.0, 6.0, 4.0, 8.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 2.0, 14.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 14.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 12.0, 14.0, 0.0, 0.0, 0.0, 5.0, 12.0, 15.0, 9.0, 1.0, 0.0, 0.0], [0.0, 0.0, 0.0, 3.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 11.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 16.0, 8.0, 0.0, 0.0, 0.0, 2.0, 14.0, 12.0, 16.0, 5.0, 0.0, 0.0, 0.0, 10.0, 16.0, 14.0, 16.0, 16.0, 11.0, 0.0, 0.0, 5.0, 12.0, 13.0, 16.0, 8.0, 3.0, 0.0, 0.0, 0.0, 0.0, 2.0, 15.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 12.0, 0.0, 0.0, 0.0], [0.0, 2.0, 14.0, 16.0, 16.0, 13.0, 5.0, 0.0, 0.0, 7.0, 16.0, 13.0, 8.0, 8.0, 1.0, 0.0, 0.0, 10.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 12.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 1.0, 8.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 15.0, 1.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 16.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 12.0, 16.0, 13.0, 15.0, 8.0, 0.0, 0.0, 0.0, 12.0, 16.0, 7.0, 13.0, 15.0, 0.0, 0.0, 0.0, 1.0, 11.0, 16.0, 15.0, 9.0, 0.0], [0.0, 0.0, 10.0, 16.0, 14.0, 1.0, 0.0, 0.0, 0.0, 0.0, 14.0, 16.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 1.0, 5.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 2.0, 10.0, 16.0, 11.0, 6.0, 0.0, 0.0, 7.0, 16.0, 16.0, 15.0, 12.0, 7.0, 0.0, 0.0, 11.0, 10.0, 15.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 9.0, 0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 2.0, 13.0, 13.0, 1.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 14.0, 4.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 10.0, 8.0, 4.0, 0.0, 0.0, 0.0, 1.0, 16.0, 16.0, 10.0, 2.0, 0.0, 0.0, 2.0, 15.0, 13.0, 12.0, 0.0, 0.0, 0.0, 0.0, 5.0, 12.0, 3.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0, 14.0, 3.0, 13.0, 4.0, 0.0, 0.0, 0.0, 0.0, 3.0, 15.0, 13.0, 1.0, 0.0, 0.0], [0.0, 0.0, 5.0, 13.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 14.0, 14.0, 5.0, 0.0, 0.0, 0.0, 0.0, 12.0, 7.0, 8.0, 16.0, 1.0, 0.0, 0.0, 0.0, 4.0, 13.0, 16.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 6.0, 0.0, 0.0, 0.0, 2.0, 7.0, 8.0, 16.0, 4.0, 0.0, 0.0, 0.0, 6.0, 12.0, 13.0, 10.0, 0.0, 0.0], [0.0, 0.0, 5.0, 14.0, 10.0, 7.0, 0.0, 0.0, 0.0, 0.0, 16.0, 16.0, 16.0, 16.0, 3.0, 0.0, 0.0, 3.0, 16.0, 10.0, 2.0, 16.0, 7.0, 0.0, 0.0, 7.0, 16.0, 3.0, 0.0, 12.0, 8.0, 0.0, 0.0, 8.0, 16.0, 1.0, 0.0, 12.0, 8.0, 0.0, 0.0, 7.0, 16.0, 5.0, 2.0, 16.0, 4.0, 0.0, 0.0, 2.0, 16.0, 15.0, 14.0, 13.0, 0.0, 0.0, 0.0, 0.0, 7.0, 15.0, 13.0, 2.0, 0.0, 0.0], [0.0, 0.0, 2.0, 13.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 15.0, 5.0, 0.0, 0.0, 0.0, 0.0, 1.0, 15.0, 12.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 5.0, 0.0, 0.0, 0.0, 4.0, 4.0, 6.0, 16.0, 3.0, 0.0, 0.0, 0.0, 2.0, 14.0, 16.0, 10.0, 0.0, 0.0], [0.0, 5.0, 16.0, 16.0, 16.0, 11.0, 1.0, 0.0, 0.0, 4.0, 16.0, 15.0, 10.0, 8.0, 1.0, 0.0, 0.0, 4.0, 16.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 13.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 4.0, 13.0, 16.0, 2.0, 0.0, 0.0, 0.0, 2.0, 15.0, 16.0, 9.0, 0.0, 0.0, 0.0], [0.0, 6.0, 16.0, 16.0, 16.0, 15.0, 10.0, 0.0, 0.0, 9.0, 16.0, 13.0, 8.0, 6.0, 5.0, 0.0, 0.0, 12.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 15.0, 15.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 13.0, 0.0, 0.0, 0.0, 0.0, 1.0, 5.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 11.0, 0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 5.0, 13.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 8.0, 15.0, 9.0, 1.0, 0.0, 0.0, 4.0, 16.0, 16.0, 12.0, 15.0, 11.0, 0.0, 0.0, 1.0, 15.0, 14.0, 4.0, 14.0, 11.0, 0.0, 0.0, 0.0, 5.0, 14.0, 14.0, 10.0, 1.0, 0.0], [0.0, 2.0, 15.0, 16.0, 16.0, 13.0, 2.0, 0.0, 0.0, 7.0, 16.0, 13.0, 8.0, 8.0, 3.0, 0.0, 0.0, 4.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 13.0, 11.0, 0.0, 0.0, 0.0, 0.0, 3.0, 8.0, 15.0, 8.0, 0.0, 0.0, 0.0, 0.0, 2.0, 15.0, 15.0, 1.0, 0.0, 0.0, 0.0], [0.0, 0.0, 5.0, 16.0, 15.0, 1.0, 0.0, 0.0, 0.0, 1.0, 15.0, 9.0, 10.0, 12.0, 0.0, 0.0, 0.0, 3.0, 16.0, 1.0, 0.0, 16.0, 4.0, 0.0, 0.0, 6.0, 16.0, 0.0, 0.0, 11.0, 6.0, 0.0, 0.0, 3.0, 16.0, 1.0, 0.0, 11.0, 8.0, 0.0, 0.0, 4.0, 16.0, 4.0, 3.0, 15.0, 4.0, 0.0, 0.0, 1.0, 13.0, 13.0, 13.0, 14.0, 1.0, 0.0, 0.0, 0.0, 4.0, 13.0, 14.0, 1.0, 0.0, 0.0], [0.0, 0.0, 2.0, 13.0, 8.0, 6.0, 0.0, 0.0, 0.0, 0.0, 7.0, 14.0, 14.0, 16.0, 0.0, 0.0, 0.0, 0.0, 7.0, 9.0, 3.0, 16.0, 4.0, 0.0, 0.0, 0.0, 5.0, 14.0, 15.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 3.0, 2.0, 13.0, 5.0, 0.0, 0.0, 0.0, 3.0, 0.0, 0.0, 12.0, 6.0, 0.0, 0.0, 1.0, 12.0, 6.0, 0.0, 11.0, 7.0, 0.0, 0.0, 0.0, 3.0, 12.0, 16.0, 16.0, 1.0, 0.0], [0.0, 0.0, 6.0, 15.0, 13.0, 3.0, 0.0, 0.0, 0.0, 0.0, 13.0, 14.0, 15.0, 12.0, 0.0, 0.0, 0.0, 0.0, 14.0, 11.0, 13.0, 15.0, 5.0, 0.0, 0.0, 0.0, 9.0, 16.0, 15.0, 8.0, 0.0, 0.0, 0.0, 2.0, 16.0, 16.0, 16.0, 2.0, 0.0, 0.0, 0.0, 8.0, 16.0, 2.0, 14.0, 10.0, 0.0, 0.0, 0.0, 5.0, 16.0, 9.0, 14.0, 11.0, 0.0, 0.0, 0.0, 0.0, 8.0, 14.0, 13.0, 2.0, 0.0, 0.0], [0.0, 0.0, 6.0, 15.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 11.0, 13.0, 4.0, 0.0, 0.0, 0.0, 0.0, 11.0, 7.0, 7.0, 13.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 16.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 13.0, 0.0, 0.0, 0.0, 2.0, 11.0, 0.0, 11.0, 12.0, 0.0, 0.0, 0.0, 5.0, 16.0, 14.0, 9.0, 4.0, 0.0], [0.0, 0.0, 2.0, 13.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 14.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 6.0, 14.0, 5.0, 2.0, 0.0, 0.0, 0.0, 2.0, 14.0, 12.0, 14.0, 0.0, 0.0, 0.0, 0.0, 1.0, 15.0, 13.0, 2.0, 0.0, 0.0, 0.0, 0.0, 11.0, 13.0, 14.0, 1.0, 0.0, 0.0, 0.0, 0.0, 13.0, 8.0, 10.0, 4.0, 0.0, 0.0, 0.0, 0.0, 2.0, 11.0, 16.0, 7.0, 0.0, 0.0], [0.0, 0.0, 0.0, 8.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 16.0, 0.0, 0.0, 0.0, 0.0, 1.0, 15.0, 16.0, 16.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 15.0, 16.0, 9.0, 2.0, 0.0, 0.0, 6.0, 15.0, 16.0, 16.0, 16.0, 11.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 14.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 0.0, 14.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 16.0, 8.0, 0.0, 0.0, 0.0, 1.0, 12.0, 16.0, 16.0, 8.0, 0.0, 0.0, 5.0, 14.0, 16.0, 16.0, 16.0, 5.0, 0.0, 0.0, 1.0, 4.0, 7.0, 16.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 16.0, 0.0, 0.0], [0.0, 0.0, 7.0, 16.0, 16.0, 16.0, 13.0, 0.0, 0.0, 0.0, 8.0, 9.0, 8.0, 15.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 7.0, 0.0, 0.0, 0.0, 4.0, 8.0, 12.0, 16.0, 5.0, 0.0, 0.0, 3.0, 16.0, 16.0, 16.0, 14.0, 7.0, 0.0, 0.0, 0.0, 3.0, 8.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 3.0, 0.0, 0.0, 0.0], [0.0, 0.0, 1.0, 8.0, 10.0, 15.0, 11.0, 0.0, 0.0, 2.0, 14.0, 15.0, 13.0, 16.0, 7.0, 0.0, 0.0, 0.0, 6.0, 0.0, 6.0, 14.0, 2.0, 0.0, 0.0, 0.0, 0.0, 3.0, 11.0, 12.0, 2.0, 0.0, 0.0, 0.0, 2.0, 16.0, 16.0, 15.0, 8.0, 0.0, 0.0, 0.0, 3.0, 13.0, 15.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 5.0, 0.0, 0.0, 0.0], [0.0, 1.0, 10.0, 16.0, 16.0, 11.0, 0.0, 0.0, 0.0, 5.0, 10.0, 8.0, 12.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 1.0, 10.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 12.0, 16.0, 4.0, 0.0, 0.0, 0.0, 2.0, 4.0, 9.0, 16.0, 4.0, 0.0, 0.0, 1.0, 15.0, 14.0, 11.0, 4.0, 0.0, 0.0], [0.0, 7.0, 16.0, 16.0, 16.0, 11.0, 2.0, 0.0, 0.0, 5.0, 16.0, 12.0, 8.0, 6.0, 1.0, 0.0, 0.0, 9.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 15.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 14.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 10.0, 0.0, 0.0, 0.0, 1.0, 7.0, 13.0, 16.0, 3.0, 0.0, 0.0, 0.0, 4.0, 15.0, 16.0, 6.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 0.0, 12.0, 11.0, 1.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 16.0, 7.0, 0.0, 0.0, 0.0, 1.0, 14.0, 16.0, 16.0, 7.0, 0.0, 0.0, 1.0, 14.0, 16.0, 14.0, 16.0, 8.0, 0.0, 0.0, 5.0, 12.0, 3.0, 8.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 12.0, 0.0, 0.0], [0.0, 0.0, 6.0, 15.0, 15.0, 3.0, 0.0, 0.0, 0.0, 3.0, 16.0, 14.0, 14.0, 13.0, 0.0, 0.0, 0.0, 6.0, 15.0, 2.0, 1.0, 14.0, 5.0, 0.0, 0.0, 8.0, 14.0, 2.0, 0.0, 9.0, 8.0, 0.0, 0.0, 8.0, 16.0, 4.0, 0.0, 8.0, 8.0, 0.0, 0.0, 5.0, 16.0, 6.0, 0.0, 11.0, 9.0, 0.0, 0.0, 1.0, 16.0, 16.0, 14.0, 16.0, 9.0, 0.0, 0.0, 0.0, 5.0, 14.0, 15.0, 10.0, 1.0, 0.0], [0.0, 0.0, 0.0, 10.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 14.0, 6.0, 6.0, 15.0, 0.0, 0.0, 0.0, 4.0, 16.0, 4.0, 0.0, 15.0, 3.0, 0.0, 0.0, 5.0, 15.0, 5.0, 0.0, 11.0, 5.0, 0.0, 0.0, 0.0, 12.0, 11.0, 0.0, 13.0, 5.0, 0.0, 0.0, 0.0, 8.0, 16.0, 16.0, 16.0, 3.0, 0.0, 0.0, 0.0, 1.0, 8.0, 13.0, 8.0, 0.0, 0.0], [0.0, 0.0, 7.0, 15.0, 15.0, 4.0, 0.0, 0.0, 0.0, 8.0, 16.0, 16.0, 16.0, 4.0, 0.0, 0.0, 0.0, 8.0, 15.0, 8.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 15.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 8.0, 11.0, 9.0, 0.0, 0.0, 0.0, 9.0, 16.0, 16.0, 12.0, 3.0, 0.0], [0.0, 1.0, 12.0, 14.0, 10.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 16.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0, 2.0, 15.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 15.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 14.0, 8.0, 8.0, 3.0, 0.0, 0.0, 0.0, 10.0, 15.0, 13.0, 9.0, 4.0, 0.0], [0.0, 0.0, 5.0, 16.0, 12.0, 2.0, 0.0, 0.0, 0.0, 0.0, 4.0, 11.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 11.0, 0.0, 0.0, 0.0, 0.0, 2.0, 4.0, 14.0, 14.0, 2.0, 0.0, 0.0, 0.0, 13.0, 16.0, 16.0, 10.0, 4.0, 0.0, 0.0, 0.0, 3.0, 10.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 11.0, 0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 5.0, 15.0, 13.0, 3.0, 0.0, 0.0, 0.0, 0.0, 12.0, 15.0, 12.0, 14.0, 0.0, 0.0, 0.0, 0.0, 12.0, 12.0, 14.0, 14.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 14.0, 3.0, 0.0, 0.0, 0.0, 0.0, 9.0, 14.0, 15.0, 3.0, 0.0, 0.0, 0.0, 1.0, 15.0, 5.0, 8.0, 12.0, 1.0, 0.0, 0.0, 0.0, 16.0, 4.0, 4.0, 16.0, 4.0, 0.0, 0.0, 0.0, 5.0, 16.0, 16.0, 12.0, 2.0, 0.0], [0.0, 0.0, 11.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 5.0, 13.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 15.0, 9.0, 7.0, 2.0, 0.0, 0.0, 0.0, 12.0, 14.0, 13.0, 12.0, 5.0, 0.0], [0.0, 0.0, 2.0, 15.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 16.0, 16.0, 9.0, 0.0, 0.0, 0.0, 5.0, 16.0, 9.0, 6.0, 16.0, 4.0, 0.0, 0.0, 5.0, 16.0, 3.0, 1.0, 14.0, 7.0, 0.0, 0.0, 6.0, 16.0, 4.0, 0.0, 16.0, 8.0, 0.0, 0.0, 3.0, 16.0, 12.0, 6.0, 16.0, 12.0, 0.0, 0.0, 0.0, 14.0, 16.0, 16.0, 16.0, 4.0, 0.0, 0.0, 0.0, 2.0, 13.0, 15.0, 8.0, 0.0, 0.0], [0.0, 0.0, 0.0, 1.0, 11.0, 14.0, 5.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 16.0, 5.0, 0.0, 0.0, 0.0, 10.0, 16.0, 16.0, 16.0, 1.0, 0.0, 0.0, 5.0, 16.0, 16.0, 16.0, 16.0, 0.0, 0.0, 0.0, 1.0, 5.0, 11.0, 16.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 10.0, 0.0, 0.0], [0.0, 0.0, 9.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 16.0, 15.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 14.0, 16.0, 2.0, 0.0, 0.0, 0.0, 3.0, 6.0, 12.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 6.0, 1.0, 3.0, 0.0, 0.0, 0.0, 9.0, 16.0, 13.0, 15.0, 8.0, 0.0, 0.0, 0.0, 7.0, 16.0, 16.0, 8.0, 1.0, 0.0], [0.0, 0.0, 4.0, 14.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 15.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 12.0, 8.0, 3.0, 0.0, 0.0, 0.0, 2.0, 16.0, 14.0, 8.0, 12.0, 9.0, 0.0, 0.0, 0.0, 16.0, 13.0, 4.0, 12.0, 12.0, 0.0, 0.0, 0.0, 6.0, 15.0, 16.0, 12.0, 1.0, 0.0], [0.0, 4.0, 12.0, 13.0, 13.0, 6.0, 0.0, 0.0, 0.0, 6.0, 14.0, 8.0, 13.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 9.0, 0.0, 0.0, 0.0, 1.0, 4.0, 12.0, 16.0, 8.0, 0.0, 0.0, 2.0, 13.0, 16.0, 12.0, 6.0, 0.0, 0.0], [0.0, 2.0, 15.0, 15.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 13.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 14.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 5.0, 0.0, 0.0, 1.0, 4.0, 6.0, 13.0, 15.0, 1.0, 0.0, 0.0, 3.0, 15.0, 14.0, 11.0, 2.0, 0.0, 0.0], [0.0, 0.0, 15.0, 15.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 15.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 12.0, 16.0, 13.0, 9.0, 0.0, 0.0, 7.0, 16.0, 16.0, 16.0, 10.0, 5.0, 0.0, 0.0, 1.0, 5.0, 16.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 15.0, 3.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0], [0.0, 1.0, 10.0, 15.0, 16.0, 13.0, 3.0, 0.0, 0.0, 5.0, 14.0, 5.0, 5.0, 15.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 15.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 6.0, 0.0, 0.0, 0.0, 2.0, 3.0, 13.0, 12.0, 0.0, 0.0, 0.0, 0.0, 15.0, 13.0, 7.0, 0.0, 0.0, 0.0], [0.0, 2.0, 14.0, 16.0, 14.0, 4.0, 0.0, 0.0, 0.0, 4.0, 11.0, 5.0, 13.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 15.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 13.0, 13.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 4.0, 0.0, 0.0, 0.0, 1.0, 3.0, 11.0, 15.0, 2.0, 0.0, 0.0, 1.0, 12.0, 16.0, 9.0, 2.0, 0.0, 0.0], [0.0, 0.0, 0.0, 0.0, 11.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 4.0, 15.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 12.0, 6.0, 16.0, 3.0, 0.0, 0.0, 0.0, 5.0, 15.0, 0.0, 15.0, 5.0, 3.0, 0.0, 0.0, 6.0, 16.0, 16.0, 16.0, 11.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 2.0, 0.0, 0.0], [0.0, 0.0, 0.0, 6.0, 14.0, 3.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 15.0, 2.0, 0.0, 0.0, 0.0, 0.0, 1.0, 15.0, 13.0, 2.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 16.0, 16.0, 7.0, 0.0, 0.0, 0.0, 4.0, 16.0, 14.0, 8.0, 13.0, 7.0, 0.0, 0.0, 0.0, 12.0, 16.0, 5.0, 12.0, 10.0, 0.0, 0.0, 0.0, 0.0, 8.0, 14.0, 13.0, 5.0, 0.0], [0.0, 0.0, 1.0, 14.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 10.0, 8.0, 3.0, 0.0, 0.0, 0.0, 0.0, 16.0, 13.0, 12.0, 14.0, 7.0, 0.0, 0.0, 0.0, 14.0, 9.0, 4.0, 11.0, 13.0, 0.0, 0.0, 0.0, 2.0, 12.0, 16.0, 12.0, 4.0, 0.0], [0.0, 0.0, 2.0, 14.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 12.0, 12.0, 11.0, 1.0, 0.0, 0.0, 4.0, 16.0, 14.0, 10.0, 14.0, 11.0, 0.0, 0.0, 2.0, 15.0, 10.0, 6.0, 16.0, 10.0, 0.0, 0.0, 0.0, 3.0, 15.0, 16.0, 10.0, 1.0, 0.0], [0.0, 0.0, 0.0, 2.0, 15.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0, 1.0, 14.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 16.0, 15.0, 4.0, 2.0, 0.0, 0.0, 9.0, 16.0, 16.0, 16.0, 16.0, 11.0, 0.0, 0.0, 3.0, 8.0, 8.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 15.0, 0.0, 0.0, 0.0], [0.0, 0.0, 6.0, 15.0, 5.0, 0.0, 0.0, 0.0, 0.0, 1.0, 15.0, 15.0, 15.0, 3.0, 0.0, 0.0, 0.0, 2.0, 16.0, 6.0, 11.0, 14.0, 0.0, 0.0, 0.0, 0.0, 15.0, 14.0, 15.0, 16.0, 1.0, 0.0, 0.0, 0.0, 3.0, 8.0, 10.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 4.0, 10.0, 16.0, 8.0, 0.0, 0.0, 0.0, 7.0, 12.0, 13.0, 12.0, 1.0, 0.0], [0.0, 0.0, 0.0, 0.0, 11.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 15.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 11.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 16.0, 10.0, 0.0, 0.0, 0.0, 4.0, 16.0, 12.0, 16.0, 12.0, 0.0, 0.0, 0.0, 3.0, 10.0, 3.0, 16.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 11.0, 0.0, 0.0], [0.0, 2.0, 16.0, 16.0, 16.0, 14.0, 5.0, 0.0, 0.0, 9.0, 16.0, 11.0, 6.0, 8.0, 3.0, 0.0, 0.0, 9.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 13.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 1.0, 11.0, 16.0, 6.0, 0.0, 0.0, 0.0, 4.0, 16.0, 16.0, 8.0, 0.0, 0.0, 0.0], [0.0, 0.0, 4.0, 15.0, 11.0, 1.0, 0.0, 0.0, 0.0, 2.0, 14.0, 14.0, 16.0, 8.0, 0.0, 0.0, 0.0, 8.0, 15.0, 2.0, 3.0, 13.0, 0.0, 0.0, 0.0, 4.0, 16.0, 0.0, 0.0, 12.0, 7.0, 0.0, 0.0, 7.0, 16.0, 0.0, 0.0, 12.0, 8.0, 0.0, 0.0, 3.0, 16.0, 6.0, 1.0, 14.0, 9.0, 0.0, 0.0, 0.0, 15.0, 16.0, 16.0, 16.0, 2.0, 0.0, 0.0, 0.0, 4.0, 13.0, 14.0, 6.0, 0.0, 0.0], [0.0, 0.0, 10.0, 15.0, 7.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 13.0, 11.0, 11.0, 0.0, 0.0, 0.0, 10.0, 16.0, 12.0, 15.0, 16.0, 4.0, 0.0, 0.0, 3.0, 12.0, 12.0, 14.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 4.0, 0.0, 0.0, 0.0, 4.0, 4.0, 15.0, 15.0, 0.0, 0.0, 0.0, 1.0, 12.0, 15.0, 12.0, 3.0, 0.0, 0.0], [0.0, 4.0, 16.0, 16.0, 16.0, 16.0, 5.0, 0.0, 0.0, 11.0, 16.0, 8.0, 5.0, 8.0, 3.0, 0.0, 0.0, 10.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 11.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 12.0, 1.0, 0.0, 0.0, 0.0], [0.0, 0.0, 3.0, 13.0, 12.0, 2.0, 0.0, 0.0, 0.0, 0.0, 14.0, 13.0, 15.0, 11.0, 0.0, 0.0, 0.0, 0.0, 7.0, 0.0, 8.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 12.0, 8.0, 1.0, 0.0, 0.0, 0.0, 3.0, 16.0, 11.0, 8.0, 0.0, 0.0], [0.0, 0.0, 10.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 15.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 9.0, 16.0, 8.0, 2.0, 0.0, 0.0, 0.0, 5.0, 14.0, 16.0, 11.0, 1.0, 0.0, 0.0, 0.0, 3.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 11.0, 16.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 7.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 13.0, 1.0, 0.0, 0.0], [0.0, 0.0, 5.0, 14.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 16.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 8.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 12.0, 11.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 12.0, 7.0, 0.0, 0.0], [0.0, 0.0, 2.0, 12.0, 12.0, 2.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 16.0, 9.0, 0.0, 0.0, 0.0, 3.0, 16.0, 16.0, 8.0, 15.0, 3.0, 0.0, 0.0, 6.0, 16.0, 6.0, 0.0, 13.0, 8.0, 0.0, 0.0, 8.0, 16.0, 4.0, 0.0, 15.0, 8.0, 0.0, 0.0, 5.0, 16.0, 8.0, 12.0, 16.0, 6.0, 0.0, 0.0, 0.0, 15.0, 16.0, 16.0, 15.0, 2.0, 0.0, 0.0, 0.0, 3.0, 13.0, 12.0, 3.0, 0.0, 0.0], [0.0, 0.0, 0.0, 14.0, 7.0, 0.0, 0.0, 0.0, 0.0, 1.0, 9.0, 16.0, 16.0, 3.0, 0.0, 0.0, 0.0, 4.0, 16.0, 8.0, 11.0, 11.0, 0.0, 0.0, 0.0, 3.0, 16.0, 7.0, 4.0, 16.0, 4.0, 0.0, 0.0, 8.0, 16.0, 4.0, 0.0, 16.0, 8.0, 0.0, 0.0, 5.0, 16.0, 10.0, 0.0, 13.0, 11.0, 0.0, 0.0, 0.0, 13.0, 16.0, 16.0, 16.0, 9.0, 0.0, 0.0, 0.0, 2.0, 10.0, 13.0, 6.0, 0.0, 0.0], [0.0, 0.0, 0.0, 0.0, 7.0, 14.0, 7.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 16.0, 9.0, 0.0, 0.0, 0.0, 6.0, 15.0, 16.0, 16.0, 6.0, 0.0, 0.0, 5.0, 16.0, 16.0, 16.0, 16.0, 2.0, 0.0, 0.0, 4.0, 8.0, 8.0, 16.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 1.0, 13.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 15.0, 0.0, 0.0], [0.0, 0.0, 8.0, 16.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 14.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 1.0, 12.0, 16.0, 13.0, 12.0, 1.0, 0.0, 0.0, 11.0, 16.0, 16.0, 14.0, 9.0, 0.0, 0.0, 0.0, 10.0, 16.0, 14.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 9.0, 0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 3.0, 14.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 7.0, 4.0, 2.0, 0.0, 0.0, 0.0, 4.0, 16.0, 16.0, 16.0, 16.0, 7.0, 0.0, 0.0, 1.0, 14.0, 15.0, 4.0, 11.0, 15.0, 0.0, 0.0, 0.0, 5.0, 14.0, 16.0, 12.0, 6.0, 0.0], [0.0, 2.0, 14.0, 16.0, 12.0, 6.0, 0.0, 0.0, 0.0, 1.0, 10.0, 8.0, 14.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 15.0, 2.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 2.0, 0.0, 0.0, 0.0, 7.0, 10.0, 15.0, 15.0, 2.0, 0.0, 0.0, 3.0, 13.0, 11.0, 7.0, 2.0, 0.0, 0.0], [0.0, 0.0, 10.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 16.0, 16.0, 0.0, 0.0, 0.0, 0.0, 2.0, 12.0, 9.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 16.0, 8.0, 5.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 16.0, 16.0, 2.0, 0.0], [0.0, 0.0, 0.0, 0.0, 7.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 15.0, 0.0, 0.0, 0.0, 0.0, 12.0, 16.0, 16.0, 11.0, 0.0, 0.0, 0.0, 5.0, 16.0, 6.0, 15.0, 12.0, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 12.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 15.0, 4.0, 0.0], [0.0, 0.0, 9.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 14.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 10.0, 1.0, 0.0, 0.0, 1.0, 12.0, 16.0, 16.0, 16.0, 9.0, 0.0, 0.0, 1.0, 11.0, 16.0, 11.0, 4.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 11.0, 0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 15.0, 16.0, 11.0, 3.0, 0.0, 0.0, 0.0, 0.0, 4.0, 10.0, 15.0, 15.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 11.0, 1.0, 0.0, 0.0, 0.0, 0.0, 2.0, 13.0, 16.0, 9.0, 0.0, 0.0, 0.0, 6.0, 15.0, 16.0, 12.0, 3.0, 0.0, 0.0, 0.0, 15.0, 14.0, 7.0, 1.0, 0.0, 0.0], [0.0, 0.0, 0.0, 0.0, 3.0, 15.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 16.0, 4.0, 0.0, 0.0, 0.0, 10.0, 16.0, 16.0, 16.0, 4.0, 0.0, 0.0, 4.0, 16.0, 7.0, 8.0, 16.0, 4.0, 0.0, 0.0, 1.0, 4.0, 0.0, 10.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 1.0, 0.0], [0.0, 1.0, 12.0, 12.0, 13.0, 8.0, 1.0, 0.0, 0.0, 0.0, 8.0, 9.0, 15.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 7.0, 0.0, 0.0, 0.0, 3.0, 8.0, 15.0, 13.0, 2.0, 0.0, 0.0, 2.0, 14.0, 16.0, 10.0, 1.0, 0.0, 0.0], [0.0, 0.0, 11.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 11.0, 13.0, 9.0, 0.0, 0.0, 0.0, 7.0, 16.0, 0.0, 9.0, 16.0, 0.0, 0.0, 0.0, 2.0, 15.0, 12.0, 16.0, 16.0, 3.0, 0.0, 0.0, 0.0, 5.0, 7.0, 7.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 5.0, 0.0, 0.0, 0.0, 3.0, 7.0, 16.0, 11.0, 0.0, 0.0, 0.0, 0.0, 13.0, 16.0, 11.0, 1.0, 0.0, 0.0], [0.0, 0.0, 0.0, 4.0, 14.0, 14.0, 5.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 16.0, 7.0, 0.0, 0.0, 0.0, 5.0, 15.0, 16.0, 15.0, 3.0, 0.0, 0.0, 4.0, 15.0, 16.0, 16.0, 12.0, 0.0, 0.0, 0.0, 5.0, 16.0, 16.0, 16.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 16.0, 13.0, 1.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 4.0, 14.0, 15.0, 6.0, 0.0], [0.0, 0.0, 4.0, 15.0, 16.0, 16.0, 5.0, 0.0, 0.0, 0.0, 6.0, 9.0, 11.0, 16.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 3.0, 14.0, 16.0, 10.0, 0.0, 0.0, 0.0, 7.0, 16.0, 16.0, 11.0, 3.0, 0.0, 0.0, 0.0, 8.0, 15.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 14.0, 2.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 8.0, 12.0, 1.0, 0.0, 0.0, 0.0, 0.0, 1.0, 15.0, 12.0, 1.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 16.0, 14.0, 5.0, 0.0, 0.0, 0.0, 1.0, 12.0, 16.0, 6.0, 14.0, 9.0, 0.0, 0.0, 0.0, 2.0, 16.0, 6.0, 10.0, 15.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 16.0, 11.0, 0.0], [0.0, 0.0, 0.0, 10.0, 12.0, 3.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 15.0, 14.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 10.0, 16.0, 1.0, 0.0, 0.0, 0.0, 5.0, 16.0, 16.0, 10.0, 1.0, 0.0, 0.0, 1.0, 16.0, 12.0, 16.0, 8.0, 0.0, 0.0, 0.0, 1.0, 16.0, 3.0, 4.0, 16.0, 4.0, 0.0, 0.0, 0.0, 12.0, 11.0, 4.0, 16.0, 9.0, 0.0, 0.0, 0.0, 2.0, 10.0, 14.0, 13.0, 4.0, 0.0], [0.0, 0.0, 0.0, 7.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 16.0, 2.0, 0.0, 0.0, 0.0, 2.0, 16.0, 16.0, 16.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 16.0, 16.0, 16.0, 8.0, 0.0, 0.0, 8.0, 15.0, 15.0, 14.0, 8.0, 5.0, 0.0, 0.0, 0.0, 0.0, 11.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 15.0, 1.0, 0.0, 0.0], [0.0, 2.0, 11.0, 16.0, 16.0, 8.0, 1.0, 0.0, 0.0, 2.0, 12.0, 9.0, 9.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 2.0, 15.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 16.0, 3.0, 0.0, 0.0, 0.0, 4.0, 11.0, 16.0, 8.0, 0.0, 0.0, 0.0, 3.0, 15.0, 12.0, 4.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 1.0, 16.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 16.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 16.0, 16.0, 1.0, 0.0, 0.0, 6.0, 16.0, 14.0, 16.0, 15.0, 0.0, 0.0, 0.0, 1.0, 3.0, 5.0, 16.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 15.0, 12.0, 0.0, 0.0], [0.0, 0.0, 0.0, 2.0, 15.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 16.0, 0.0, 0.0, 0.0, 0.0, 3.0, 15.0, 16.0, 16.0, 0.0, 0.0, 0.0, 0.0, 12.0, 16.0, 16.0, 16.0, 14.0, 6.0, 0.0, 0.0, 6.0, 12.0, 14.0, 16.0, 12.0, 5.0, 0.0, 0.0, 0.0, 0.0, 8.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 14.0, 1.0, 0.0, 0.0], [0.0, 0.0, 4.0, 12.0, 10.0, 1.0, 0.0, 0.0, 0.0, 3.0, 16.0, 13.0, 15.0, 10.0, 0.0, 0.0, 0.0, 5.0, 16.0, 2.0, 1.0, 14.0, 3.0, 0.0, 0.0, 8.0, 13.0, 0.0, 0.0, 10.0, 8.0, 0.0, 0.0, 8.0, 12.0, 0.0, 0.0, 8.0, 8.0, 0.0, 0.0, 8.0, 14.0, 0.0, 0.0, 11.0, 8.0, 0.0, 0.0, 3.0, 16.0, 14.0, 13.0, 16.0, 2.0, 0.0, 0.0, 0.0, 8.0, 16.0, 13.0, 5.0, 0.0, 0.0], [0.0, 3.0, 15.0, 13.0, 12.0, 8.0, 1.0, 0.0, 0.0, 4.0, 16.0, 14.0, 12.0, 12.0, 2.0, 0.0, 0.0, 0.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 15.0, 10.0, 0.0, 0.0, 0.0, 0.0, 2.0, 15.0, 16.0, 2.0, 0.0, 0.0, 0.0], [0.0, 0.0, 5.0, 11.0, 16.0, 16.0, 8.0, 0.0, 0.0, 0.0, 15.0, 14.0, 8.0, 12.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 14.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 12.0, 1.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 14.0, 9.0, 0.0, 0.0, 0.0, 0.0, 1.0, 4.0, 15.0, 9.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 11.0, 2.0, 0.0, 0.0], [0.0, 0.0, 0.0, 11.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 1.0, 15.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 12.0, 8.0, 2.0, 0.0, 0.0, 0.0, 7.0, 16.0, 16.0, 12.0, 14.0, 3.0, 0.0, 0.0, 4.0, 16.0, 8.0, 0.0, 10.0, 9.0, 0.0, 0.0, 1.0, 12.0, 15.0, 9.0, 14.0, 10.0, 0.0, 0.0, 0.0, 2.0, 10.0, 13.0, 11.0, 1.0, 0.0], [0.0, 0.0, 5.0, 15.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 16.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 13.0, 14.0, 14.0, 15.0, 0.0, 0.0, 0.0, 0.0, 3.0, 11.0, 14.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 1.0, 11.0, 16.0, 6.0, 0.0, 0.0, 0.0, 4.0, 15.0, 16.0, 10.0, 0.0, 0.0], [0.0, 0.0, 3.0, 15.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 7.0, 1.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 1.0, 6.0, 1.0, 0.0, 0.0, 0.0, 3.0, 15.0, 8.0, 12.0, 13.0, 3.0, 0.0, 0.0, 2.0, 16.0, 2.0, 0.0, 7.0, 12.0, 0.0, 0.0, 0.0, 13.0, 9.0, 4.0, 9.0, 15.0, 0.0, 0.0, 0.0, 3.0, 13.0, 16.0, 15.0, 5.0, 0.0], [0.0, 0.0, 0.0, 0.0, 10.0, 13.0, 7.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 16.0, 11.0, 0.0, 0.0, 0.0, 4.0, 14.0, 16.0, 16.0, 7.0, 0.0, 0.0, 3.0, 14.0, 16.0, 16.0, 16.0, 4.0, 0.0, 0.0, 7.0, 16.0, 16.0, 16.0, 16.0, 4.0, 0.0, 0.0, 0.0, 2.0, 13.0, 16.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 13.0, 16.0, 1.0, 0.0], [0.0, 0.0, 9.0, 15.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 16.0, 16.0, 16.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 11.0, 0.0, 0.0, 0.0, 0.0, 2.0, 7.0, 16.0, 13.0, 10.0, 0.0, 0.0, 2.0, 15.0, 16.0, 16.0, 12.0, 4.0, 0.0, 0.0, 3.0, 13.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 13.0, 0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 13.0, 16.0, 12.0, 7.0, 0.0, 0.0, 0.0, 4.0, 16.0, 15.0, 12.0, 12.0, 3.0, 0.0, 0.0, 4.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 14.0, 0.0, 0.0, 0.0, 0.0, 1.0, 9.0, 14.0, 16.0, 0.0, 0.0, 0.0, 0.0, 1.0, 13.0, 16.0, 10.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 3.0, 13.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 1.0, 15.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 16.0, 1.0, 0.0, 0.0, 0.0, 2.0, 16.0, 14.0, 16.0, 5.0, 1.0, 0.0, 0.0, 11.0, 16.0, 16.0, 16.0, 16.0, 10.0, 0.0, 0.0, 5.0, 8.0, 11.0, 16.0, 4.0, 1.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 2.0, 0.0, 0.0], [0.0, 0.0, 0.0, 0.0, 15.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 16.0, 1.0, 1.0, 0.0, 0.0, 6.0, 16.0, 16.0, 16.0, 15.0, 9.0, 0.0, 0.0, 7.0, 15.0, 16.0, 16.0, 10.0, 1.0, 0.0, 0.0, 0.0, 1.0, 7.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 15.0, 5.0, 0.0, 0.0], [0.0, 0.0, 7.0, 15.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 14.0, 15.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 9.0, 2.0, 0.0, 0.0, 5.0, 14.0, 16.0, 15.0, 11.0, 4.0, 0.0, 0.0, 5.0, 7.0, 12.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 11.0, 0.0, 0.0, 0.0, 0.0], [0.0, 2.0, 15.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 16.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 5.0, 13.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 16.0, 16.0, 14.0, 6.0, 0.0, 0.0, 1.0, 16.0, 16.0, 16.0, 12.0, 7.0, 0.0], [0.0, 0.0, 2.0, 12.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 15.0, 9.0, 1.0, 0.0, 0.0, 0.0, 6.0, 14.0, 13.0, 15.0, 3.0, 0.0, 0.0, 0.0, 1.0, 16.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 14.0, 0.0, 0.0, 0.0, 0.0, 1.0, 15.0, 9.0, 16.0, 5.0, 0.0, 0.0, 0.0, 2.0, 13.0, 13.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 1.0, 11.0, 12.0, 5.0, 0.0, 0.0], [0.0, 2.0, 15.0, 15.0, 5.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 16.0, 11.0, 0.0, 0.0, 0.0, 0.0, 9.0, 15.0, 16.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 1.0, 14.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 14.0, 14.0, 16.0, 5.0, 0.0, 0.0, 2.0, 14.0, 16.0, 13.0, 9.0, 1.0, 0.0], [0.0, 0.0, 4.0, 14.0, 16.0, 4.0, 0.0, 0.0, 0.0, 3.0, 16.0, 16.0, 16.0, 6.0, 0.0, 0.0, 0.0, 8.0, 16.0, 12.0, 16.0, 7.0, 0.0, 0.0, 0.0, 3.0, 5.0, 12.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 12.0, 5.0, 1.0, 0.0, 0.0, 0.0, 4.0, 16.0, 16.0, 15.0, 4.0, 0.0], [0.0, 3.0, 11.0, 15.0, 12.0, 7.0, 1.0, 0.0, 0.0, 4.0, 16.0, 13.0, 11.0, 9.0, 6.0, 0.0, 0.0, 4.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 12.0, 0.0, 0.0, 0.0, 0.0, 1.0, 7.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 5.0, 13.0, 6.0, 0.0, 0.0, 0.0, 0.0], [0.0, 4.0, 13.0, 9.0, 8.0, 3.0, 0.0, 0.0, 0.0, 5.0, 16.0, 14.0, 12.0, 12.0, 6.0, 0.0, 0.0, 8.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 11.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 0.0, 0.0, 0.0, 0.0, 1.0, 1.0, 12.0, 14.0, 0.0, 0.0, 0.0, 0.0, 4.0, 14.0, 14.0, 3.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 0.0, 13.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 3.0, 15.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 8.0, 15.0, 16.0, 10.0, 1.0, 0.0, 0.0, 4.0, 16.0, 14.0, 16.0, 16.0, 11.0, 0.0, 0.0, 7.0, 16.0, 13.0, 15.0, 14.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 11.0, 0.0, 0.0], [0.0, 0.0, 3.0, 14.0, 13.0, 1.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 11.0, 15.0, 1.0, 0.0, 0.0, 0.0, 2.0, 14.0, 16.0, 15.0, 2.0, 0.0, 0.0, 0.0, 6.0, 16.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 15.0, 11.0, 10.0, 12.0, 0.0, 0.0, 0.0, 1.0, 16.0, 11.0, 11.0, 15.0, 0.0, 0.0, 0.0, 0.0, 5.0, 13.0, 15.0, 7.0, 0.0, 0.0], [0.0, 0.0, 2.0, 16.0, 10.0, 1.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 16.0, 12.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 16.0, 15.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 15.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 13.0, 8.0, 9.0, 13.0, 0.0, 0.0, 0.0, 0.0, 12.0, 10.0, 7.0, 16.0, 0.0, 0.0, 0.0, 0.0, 3.0, 13.0, 15.0, 10.0, 0.0, 0.0], [0.0, 0.0, 0.0, 5.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 1.0, 15.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 16.0, 1.0, 0.0, 0.0, 0.0, 3.0, 16.0, 16.0, 15.0, 4.0, 2.0, 0.0, 0.0, 10.0, 16.0, 16.0, 16.0, 16.0, 12.0, 0.0, 0.0, 1.0, 7.0, 14.0, 13.0, 6.0, 5.0, 0.0, 0.0, 0.0, 0.0, 11.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 10.0, 0.0, 0.0, 0.0], [0.0, 0.0, 7.0, 16.0, 11.0, 1.0, 0.0, 0.0, 0.0, 1.0, 15.0, 12.0, 12.0, 12.0, 0.0, 0.0, 0.0, 2.0, 16.0, 2.0, 6.0, 16.0, 2.0, 0.0, 0.0, 1.0, 16.0, 6.0, 6.0, 16.0, 6.0, 0.0, 0.0, 0.0, 7.0, 16.0, 15.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 11.0, 0.0, 0.0, 0.0, 3.0, 3.0, 6.0, 16.0, 5.0, 0.0, 0.0, 0.0, 8.0, 16.0, 14.0, 6.0, 0.0, 0.0], [0.0, 0.0, 2.0, 14.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 15.0, 15.0, 8.0, 0.0, 0.0, 0.0, 2.0, 16.0, 7.0, 4.0, 15.0, 0.0, 0.0, 0.0, 4.0, 16.0, 4.0, 0.0, 13.0, 7.0, 0.0, 0.0, 4.0, 16.0, 1.0, 0.0, 10.0, 8.0, 0.0, 0.0, 4.0, 16.0, 5.0, 1.0, 12.0, 11.0, 0.0, 0.0, 1.0, 15.0, 14.0, 13.0, 16.0, 3.0, 0.0, 0.0, 0.0, 3.0, 12.0, 13.0, 5.0, 0.0, 0.0], [0.0, 0.0, 0.0, 12.0, 15.0, 6.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 13.0, 15.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 16.0, 12.0, 1.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 14.0, 1.0, 0.0, 0.0, 0.0, 7.0, 16.0, 15.0, 10.0, 0.0, 0.0, 0.0, 1.0, 16.0, 8.0, 2.0, 14.0, 5.0, 0.0, 0.0, 0.0, 12.0, 10.0, 4.0, 12.0, 7.0, 0.0, 0.0, 0.0, 2.0, 11.0, 16.0, 13.0, 3.0, 0.0], [0.0, 0.0, 3.0, 12.0, 5.0, 0.0, 0.0, 0.0, 0.0, 1.0, 15.0, 14.0, 16.0, 6.0, 0.0, 0.0, 0.0, 6.0, 16.0, 0.0, 6.0, 16.0, 6.0, 0.0, 0.0, 5.0, 16.0, 11.0, 14.0, 16.0, 4.0, 0.0, 0.0, 0.0, 8.0, 10.0, 12.0, 16.0, 0.0, 0.0, 0.0, 0.0, 1.0, 1.0, 7.0, 15.0, 1.0, 0.0, 0.0, 0.0, 8.0, 10.0, 10.0, 16.0, 2.0, 0.0, 0.0, 0.0, 2.0, 13.0, 14.0, 7.0, 0.0, 0.0], [0.0, 0.0, 5.0, 14.0, 15.0, 2.0, 0.0, 0.0, 0.0, 0.0, 13.0, 14.0, 9.0, 10.0, 0.0, 0.0, 0.0, 0.0, 15.0, 8.0, 2.0, 15.0, 3.0, 0.0, 0.0, 0.0, 11.0, 12.0, 9.0, 14.0, 2.0, 0.0, 0.0, 0.0, 7.0, 16.0, 14.0, 2.0, 0.0, 0.0, 0.0, 0.0, 13.0, 14.0, 16.0, 4.0, 0.0, 0.0, 0.0, 3.0, 15.0, 8.0, 14.0, 10.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 16.0, 8.0, 0.0, 0.0], [0.0, 0.0, 4.0, 11.0, 15.0, 8.0, 0.0, 0.0, 0.0, 0.0, 13.0, 16.0, 11.0, 13.0, 7.0, 0.0, 0.0, 3.0, 16.0, 12.0, 0.0, 4.0, 8.0, 0.0, 0.0, 6.0, 16.0, 5.0, 0.0, 4.0, 8.0, 0.0, 0.0, 7.0, 9.0, 0.0, 0.0, 9.0, 7.0, 0.0, 0.0, 4.0, 10.0, 0.0, 2.0, 15.0, 2.0, 0.0, 0.0, 1.0, 16.0, 12.0, 14.0, 10.0, 0.0, 0.0, 0.0, 0.0, 4.0, 14.0, 14.0, 1.0, 0.0, 0.0], [0.0, 0.0, 0.0, 13.0, 15.0, 8.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 14.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 16.0, 15.0, 2.0, 0.0, 0.0, 0.0, 0.0, 1.0, 13.0, 16.0, 4.0, 0.0, 0.0], [0.0, 0.0, 6.0, 14.0, 8.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 10.0, 14.0, 4.0, 0.0, 0.0, 0.0, 11.0, 5.0, 0.0, 11.0, 4.0, 0.0, 0.0, 0.0, 4.0, 6.0, 2.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 10.0, 8.0, 8.0, 4.0, 0.0, 0.0, 0.0, 7.0, 14.0, 14.0, 14.0, 13.0, 0.0], [0.0, 0.0, 10.0, 16.0, 10.0, 1.0, 0.0, 0.0, 0.0, 6.0, 14.0, 6.0, 16.0, 3.0, 0.0, 0.0, 0.0, 5.0, 4.0, 5.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 14.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 11.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 8.0, 0.0, 0.0, 0.0, 9.0, 8.0, 8.0, 15.0, 6.0, 0.0, 0.0, 0.0, 9.0, 15.0, 15.0, 9.0, 0.0, 0.0], [0.0, 0.0, 0.0, 12.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 15.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 5.0, 0.0, 4.0, 4.0, 0.0, 0.0, 4.0, 15.0, 2.0, 3.0, 15.0, 9.0, 0.0, 0.0, 2.0, 15.0, 16.0, 16.0, 16.0, 4.0, 0.0, 0.0, 0.0, 2.0, 8.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 9.0, 0.0, 0.0, 0.0], [0.0, 0.0, 6.0, 8.0, 12.0, 14.0, 0.0, 0.0, 0.0, 5.0, 16.0, 15.0, 12.0, 7.0, 0.0, 0.0, 0.0, 8.0, 16.0, 13.0, 4.0, 0.0, 0.0, 0.0, 0.0, 2.0, 11.0, 8.0, 14.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 5.0, 0.0, 0.0, 1.0, 9.0, 8.0, 12.0, 14.0, 1.0, 0.0, 0.0, 0.0, 10.0, 15.0, 12.0, 3.0, 0.0, 0.0], [0.0, 0.0, 3.0, 13.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 15.0, 2.0, 0.0, 0.0, 0.0, 0.0, 2.0, 15.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 14.0, 14.0, 16.0, 13.0, 2.0, 0.0, 0.0, 3.0, 16.0, 9.0, 1.0, 4.0, 12.0, 0.0, 0.0, 0.0, 14.0, 10.0, 5.0, 11.0, 11.0, 0.0, 0.0, 0.0, 3.0, 13.0, 15.0, 8.0, 0.0, 0.0], [0.0, 0.0, 6.0, 16.0, 16.0, 16.0, 16.0, 10.0, 0.0, 0.0, 6.0, 10.0, 8.0, 14.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 8.0, 0.0, 0.0, 0.0, 2.0, 10.0, 14.0, 15.0, 6.0, 0.0, 0.0, 0.0, 6.0, 16.0, 16.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 15.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 13.0, 1.0, 0.0, 0.0, 0.0], [0.0, 0.0, 1.0, 10.0, 13.0, 13.0, 1.0, 0.0, 0.0, 1.0, 13.0, 10.0, 4.0, 14.0, 4.0, 0.0, 0.0, 8.0, 13.0, 0.0, 7.0, 12.0, 0.0, 0.0, 0.0, 2.0, 12.0, 14.0, 15.0, 2.0, 0.0, 0.0, 0.0, 0.0, 5.0, 15.0, 15.0, 2.0, 0.0, 0.0, 0.0, 0.0, 8.0, 7.0, 3.0, 13.0, 3.0, 0.0, 0.0, 0.0, 8.0, 8.0, 0.0, 13.0, 4.0, 0.0, 0.0, 0.0, 1.0, 11.0, 16.0, 16.0, 2.0, 0.0], [0.0, 0.0, 6.0, 12.0, 13.0, 5.0, 0.0, 0.0, 0.0, 2.0, 16.0, 9.0, 8.0, 15.0, 2.0, 0.0, 0.0, 8.0, 12.0, 0.0, 3.0, 15.0, 8.0, 0.0, 0.0, 4.0, 15.0, 12.0, 16.0, 13.0, 1.0, 0.0, 0.0, 0.0, 2.0, 2.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 14.0, 0.0, 0.0, 0.0], [0.0, 0.0, 4.0, 13.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 16.0, 15.0, 7.0, 0.0, 0.0, 0.0, 3.0, 16.0, 9.0, 6.0, 15.0, 6.0, 0.0, 0.0, 8.0, 14.0, 0.0, 0.0, 4.0, 8.0, 0.0, 0.0, 8.0, 12.0, 0.0, 0.0, 4.0, 8.0, 0.0, 0.0, 4.0, 12.0, 0.0, 0.0, 11.0, 6.0, 0.0, 0.0, 0.0, 14.0, 10.0, 12.0, 14.0, 1.0, 0.0, 0.0, 0.0, 7.0, 15.0, 11.0, 2.0, 0.0, 0.0], [0.0, 0.0, 0.0, 0.0, 14.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 12.0, 16.0, 16.0, 4.0, 0.0, 0.0, 0.0, 1.0, 13.0, 12.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 10.0, 0.0, 0.0], [0.0, 0.0, 10.0, 16.0, 11.0, 0.0, 0.0, 0.0, 0.0, 8.0, 15.0, 10.0, 15.0, 2.0, 0.0, 0.0, 0.0, 11.0, 11.0, 2.0, 16.0, 5.0, 0.0, 0.0, 0.0, 7.0, 5.0, 6.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 1.0, 15.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 14.0, 8.0, 10.0, 5.0, 0.0, 0.0, 0.0, 12.0, 16.0, 16.0, 16.0, 15.0, 0.0], [0.0, 0.0, 6.0, 15.0, 16.0, 10.0, 0.0, 0.0, 0.0, 3.0, 16.0, 11.0, 15.0, 10.0, 0.0, 0.0, 0.0, 4.0, 10.0, 10.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 15.0, 3.0, 0.0, 0.0, 0.0, 0.0, 1.0, 9.0, 16.0, 15.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 6.0, 0.0, 0.0, 0.0, 3.0, 9.0, 12.0, 16.0, 5.0, 0.0, 0.0, 0.0, 9.0, 16.0, 16.0, 8.0, 0.0, 0.0], [0.0, 0.0, 0.0, 13.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 15.0, 1.0, 1.0, 4.0, 0.0, 0.0, 6.0, 16.0, 10.0, 9.0, 15.0, 14.0, 0.0, 0.0, 9.0, 16.0, 16.0, 16.0, 16.0, 4.0, 0.0, 0.0, 2.0, 8.0, 12.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 15.0, 1.0, 0.0, 0.0], [0.0, 0.0, 15.0, 16.0, 16.0, 15.0, 9.0, 0.0, 0.0, 6.0, 16.0, 13.0, 12.0, 12.0, 11.0, 2.0, 0.0, 3.0, 15.0, 14.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 8.0, 0.0, 0.0, 0.0, 0.0, 1.0, 14.0, 14.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 16.0, 3.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 13.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 15.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 3.0, 0.0, 2.0, 0.0, 0.0, 0.0, 0.0, 16.0, 13.0, 16.0, 16.0, 6.0, 0.0, 0.0, 1.0, 16.0, 11.0, 4.0, 7.0, 12.0, 0.0, 0.0, 0.0, 11.0, 12.0, 5.0, 13.0, 9.0, 0.0, 0.0, 0.0, 1.0, 12.0, 15.0, 11.0, 2.0, 0.0], [0.0, 0.0, 4.0, 12.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 15.0, 12.0, 12.0, 11.0, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 9.0, 7.0, 0.0, 0.0, 0.0, 0.0, 4.0, 7.0, 15.0, 13.0, 7.0, 0.0, 0.0, 6.0, 16.0, 16.0, 15.0, 10.0, 3.0, 0.0, 0.0, 1.0, 4.0, 12.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 12.0, 0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 2.0, 12.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 12.0, 7.0, 1.0, 13.0, 4.0, 0.0, 0.0, 3.0, 16.0, 0.0, 8.0, 12.0, 0.0, 0.0, 0.0, 4.0, 16.0, 11.0, 14.0, 1.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 12.0, 15.0, 2.0, 0.0, 0.0, 0.0, 0.0, 8.0, 7.0, 13.0, 4.0, 0.0, 0.0, 0.0, 0.0, 3.0, 13.0, 16.0, 3.0, 0.0, 0.0], [0.0, 0.0, 4.0, 14.0, 16.0, 15.0, 1.0, 0.0, 0.0, 5.0, 16.0, 8.0, 4.0, 16.0, 7.0, 0.0, 0.0, 8.0, 13.0, 0.0, 4.0, 16.0, 12.0, 0.0, 0.0, 7.0, 16.0, 15.0, 16.0, 13.0, 3.0, 0.0, 0.0, 0.0, 6.0, 12.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 2.0, 0.0, 0.0, 0.0], [0.0, 0.0, 5.0, 15.0, 12.0, 8.0, 0.0, 0.0, 0.0, 0.0, 13.0, 16.0, 10.0, 13.0, 3.0, 0.0, 0.0, 5.0, 16.0, 9.0, 0.0, 8.0, 4.0, 0.0, 0.0, 4.0, 13.0, 1.0, 0.0, 4.0, 8.0, 0.0, 0.0, 4.0, 8.0, 0.0, 0.0, 8.0, 4.0, 0.0, 0.0, 1.0, 14.0, 0.0, 0.0, 11.0, 3.0, 0.0, 0.0, 0.0, 12.0, 9.0, 9.0, 15.0, 0.0, 0.0, 0.0, 0.0, 4.0, 14.0, 15.0, 4.0, 0.0, 0.0], [0.0, 0.0, 0.0, 4.0, 13.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 16.0, 1.0, 0.0, 0.0, 0.0, 3.0, 14.0, 16.0, 13.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 16.0, 5.0, 0.0, 0.0, 0.0, 3.0, 15.0, 16.0, 16.0, 4.0, 0.0, 0.0, 0.0, 4.0, 16.0, 16.0, 16.0, 6.0, 0.0, 0.0, 0.0, 2.0, 8.0, 15.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 14.0, 12.0, 0.0, 0.0], [0.0, 1.0, 13.0, 16.0, 16.0, 4.0, 0.0, 0.0, 0.0, 9.0, 15.0, 6.0, 13.0, 8.0, 0.0, 0.0, 0.0, 5.0, 10.0, 0.0, 12.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 13.0, 8.0, 8.0, 5.0, 0.0, 0.0, 1.0, 10.0, 14.0, 16.0, 16.0, 16.0, 0.0], [0.0, 0.0, 8.0, 14.0, 14.0, 4.0, 0.0, 0.0, 0.0, 5.0, 12.0, 4.0, 7.0, 12.0, 0.0, 0.0, 0.0, 4.0, 2.0, 3.0, 13.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 9.0, 14.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 8.0, 0.0, 0.0, 0.0, 3.0, 4.0, 4.0, 13.0, 7.0, 0.0, 0.0, 0.0, 11.0, 16.0, 15.0, 5.0, 0.0, 0.0], [0.0, 0.0, 1.0, 11.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 5.0, 0.0, 1.0, 2.0, 0.0, 0.0, 6.0, 16.0, 2.0, 1.0, 13.0, 10.0, 0.0, 0.0, 7.0, 16.0, 9.0, 15.0, 13.0, 0.0, 0.0, 0.0, 2.0, 9.0, 12.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 7.0, 0.0, 0.0, 0.0], [0.0, 0.0, 11.0, 7.0, 12.0, 15.0, 1.0, 0.0, 0.0, 1.0, 16.0, 14.0, 9.0, 6.0, 0.0, 0.0, 0.0, 8.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 14.0, 15.0, 15.0, 5.0, 0.0, 0.0, 0.0, 1.0, 6.0, 4.0, 10.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 11.0, 0.0, 0.0, 0.0, 0.0, 10.0, 4.0, 13.0, 8.0, 0.0, 0.0, 0.0, 0.0, 12.0, 16.0, 10.0, 1.0, 0.0, 0.0], [0.0, 0.0, 4.0, 12.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 12.0, 7.0, 12.0, 6.0, 2.0, 0.0, 0.0, 4.0, 15.0, 15.0, 12.0, 13.0, 11.0, 0.0, 0.0, 1.0, 13.0, 16.0, 5.0, 11.0, 12.0, 0.0, 0.0, 0.0, 5.0, 13.0, 16.0, 11.0, 1.0, 0.0], [0.0, 0.0, 4.0, 13.0, 16.0, 16.0, 16.0, 10.0, 0.0, 0.0, 11.0, 15.0, 12.0, 13.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 11.0, 0.0, 0.0, 0.0, 1.0, 0.0, 5.0, 15.0, 2.0, 0.0, 0.0, 0.0, 14.0, 13.0, 15.0, 15.0, 6.0, 0.0, 0.0, 0.0, 15.0, 16.0, 15.0, 9.0, 2.0, 0.0, 0.0, 0.0, 1.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 14.0, 2.0, 0.0, 0.0, 0.0], [0.0, 0.0, 2.0, 11.0, 16.0, 12.0, 2.0, 0.0, 0.0, 0.0, 11.0, 7.0, 4.0, 7.0, 8.0, 0.0, 0.0, 5.0, 14.0, 4.0, 0.0, 8.0, 4.0, 0.0, 0.0, 2.0, 15.0, 9.0, 6.0, 11.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 13.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 10.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 2.0, 12.0, 16.0, 3.0, 0.0, 0.0], [0.0, 0.0, 9.0, 16.0, 12.0, 2.0, 0.0, 0.0, 0.0, 0.0, 16.0, 3.0, 5.0, 10.0, 0.0, 0.0, 0.0, 0.0, 13.0, 4.0, 14.0, 16.0, 4.0, 0.0, 0.0, 0.0, 4.0, 16.0, 16.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 3.0, 4.0, 10.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 6.0, 0.0, 0.0, 0.0, 12.0, 1.0, 1.0, 13.0, 3.0, 0.0, 0.0, 0.0, 8.0, 15.0, 16.0, 9.0, 0.0, 0.0], [0.0, 0.0, 2.0, 12.0, 15.0, 12.0, 1.0, 0.0, 0.0, 1.0, 14.0, 14.0, 14.0, 11.0, 8.0, 0.0, 0.0, 5.0, 16.0, 3.0, 0.0, 2.0, 8.0, 0.0, 0.0, 8.0, 14.0, 0.0, 0.0, 6.0, 8.0, 0.0, 0.0, 4.0, 12.0, 0.0, 0.0, 9.0, 4.0, 0.0, 0.0, 1.0, 16.0, 1.0, 1.0, 14.0, 1.0, 0.0, 0.0, 0.0, 11.0, 9.0, 11.0, 8.0, 0.0, 0.0, 0.0, 0.0, 2.0, 13.0, 14.0, 1.0, 0.0, 0.0], [0.0, 0.0, 3.0, 11.0, 13.0, 5.0, 0.0, 0.0, 0.0, 0.0, 10.0, 12.0, 5.0, 16.0, 0.0, 0.0, 0.0, 0.0, 7.0, 10.0, 6.0, 15.0, 4.0, 0.0, 0.0, 0.0, 2.0, 13.0, 16.0, 14.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 11.0, 0.0, 0.0, 0.0, 9.0, 7.0, 0.0, 8.0, 11.0, 0.0, 0.0, 0.0, 3.0, 9.0, 16.0, 16.0, 6.0, 0.0], [0.0, 0.0, 6.0, 8.0, 8.0, 13.0, 3.0, 0.0, 0.0, 1.0, 14.0, 14.0, 12.0, 9.0, 3.0, 0.0, 0.0, 4.0, 16.0, 8.0, 2.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 13.0, 15.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 15.0, 0.0, 0.0, 0.0, 0.0, 6.0, 8.0, 13.0, 8.0, 0.0, 0.0, 0.0, 0.0, 9.0, 15.0, 8.0, 0.0, 0.0, 0.0], [0.0, 0.0, 3.0, 8.0, 9.0, 9.0, 0.0, 0.0, 0.0, 6.0, 16.0, 12.0, 8.0, 5.0, 0.0, 0.0, 0.0, 11.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 10.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 8.0, 13.0, 10.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 7.0, 0.0, 0.0, 0.0, 5.0, 2.0, 4.0, 13.0, 8.0, 0.0, 0.0, 0.0, 7.0, 16.0, 14.0, 8.0, 0.0, 0.0], [0.0, 0.0, 0.0, 8.0, 15.0, 2.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 12.0, 16.0, 14.0, 0.0, 0.0, 0.0, 0.0, 14.0, 15.0, 6.0, 8.0, 11.0, 0.0, 0.0, 3.0, 12.0, 14.0, 5.0, 10.0, 13.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 13.0, 5.0, 0.0], [0.0, 1.0, 5.0, 11.0, 15.0, 4.0, 0.0, 0.0, 0.0, 8.0, 16.0, 13.0, 6.0, 2.0, 0.0, 0.0, 0.0, 11.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 16.0, 11.0, 2.0, 0.0, 0.0, 0.0, 0.0, 4.0, 4.0, 5.0, 12.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 11.0, 0.0, 0.0, 0.0, 1.0, 6.0, 0.0, 10.0, 11.0, 0.0, 0.0, 0.0, 2.0, 12.0, 16.0, 15.0, 2.0, 0.0], [0.0, 0.0, 9.0, 16.0, 15.0, 14.0, 1.0, 0.0, 0.0, 1.0, 15.0, 15.0, 5.0, 10.0, 7.0, 0.0, 0.0, 6.0, 16.0, 1.0, 0.0, 1.0, 8.0, 0.0, 0.0, 8.0, 13.0, 0.0, 0.0, 4.0, 8.0, 0.0, 0.0, 7.0, 6.0, 0.0, 0.0, 6.0, 6.0, 0.0, 0.0, 5.0, 9.0, 0.0, 0.0, 13.0, 1.0, 0.0, 0.0, 0.0, 16.0, 5.0, 12.0, 12.0, 0.0, 0.0, 0.0, 0.0, 8.0, 15.0, 10.0, 1.0, 0.0, 0.0], [0.0, 0.0, 7.0, 13.0, 16.0, 7.0, 0.0, 0.0, 0.0, 2.0, 16.0, 6.0, 5.0, 12.0, 1.0, 0.0, 0.0, 4.0, 12.0, 0.0, 1.0, 16.0, 4.0, 0.0, 0.0, 1.0, 12.0, 12.0, 13.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 4.0, 8.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 13.0, 0.0, 0.0, 0.0, 0.0, 8.0, 3.0, 10.0, 10.0, 0.0, 0.0, 0.0, 0.0, 6.0, 15.0, 15.0, 3.0, 0.0, 0.0], [0.0, 0.0, 4.0, 15.0, 14.0, 10.0, 1.0, 0.0, 0.0, 0.0, 7.0, 9.0, 0.0, 9.0, 8.0, 0.0, 0.0, 0.0, 11.0, 9.0, 2.0, 13.0, 7.0, 0.0, 0.0, 0.0, 4.0, 15.0, 14.0, 4.0, 0.0, 0.0, 0.0, 0.0, 6.0, 15.0, 15.0, 1.0, 0.0, 0.0, 0.0, 4.0, 14.0, 1.0, 13.0, 7.0, 0.0, 0.0, 0.0, 7.0, 13.0, 1.0, 5.0, 13.0, 0.0, 0.0, 0.0, 0.0, 7.0, 14.0, 16.0, 16.0, 1.0, 0.0], [0.0, 0.0, 4.0, 12.0, 16.0, 12.0, 0.0, 0.0, 0.0, 5.0, 16.0, 8.0, 4.0, 12.0, 2.0, 0.0, 0.0, 12.0, 6.0, 0.0, 0.0, 13.0, 4.0, 0.0, 0.0, 6.0, 16.0, 13.0, 16.0, 16.0, 7.0, 0.0, 0.0, 0.0, 3.0, 4.0, 1.0, 8.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 12.0, 0.0, 0.0, 0.0, 8.0, 9.0, 2.0, 9.0, 9.0, 0.0, 0.0, 0.0, 2.0, 13.0, 16.0, 15.0, 3.0, 0.0], [0.0, 0.0, 5.0, 12.0, 15.0, 10.0, 1.0, 0.0, 0.0, 2.0, 14.0, 7.0, 4.0, 9.0, 7.0, 0.0, 0.0, 7.0, 15.0, 7.0, 0.0, 9.0, 8.0, 0.0, 0.0, 1.0, 5.0, 15.0, 11.0, 13.0, 3.0, 0.0, 0.0, 0.0, 3.0, 15.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 15.0, 9.0, 12.0, 7.0, 0.0, 0.0, 0.0, 0.0, 15.0, 5.0, 8.0, 12.0, 0.0, 0.0, 0.0, 0.0, 4.0, 14.0, 16.0, 11.0, 0.0, 0.0], [0.0, 0.0, 0.0, 7.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 15.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 11.0, 0.0, 2.0, 2.0, 0.0, 0.0, 5.0, 14.0, 2.0, 1.0, 13.0, 7.0, 0.0, 0.0, 7.0, 15.0, 2.0, 8.0, 16.0, 3.0, 0.0, 0.0, 3.0, 14.0, 16.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 2.0, 0.0, 0.0], [0.0, 0.0, 7.0, 12.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 16.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 16.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 16.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 16.0, 16.0, 0.0, 0.0, 0.0, 0.0, 1.0, 14.0, 16.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 4.0, 12.0, 12.0, 9.0, 0.0, 0.0], [0.0, 0.0, 6.0, 16.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 14.0, 9.0, 12.0, 11.0, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 9.0, 6.0, 0.0, 0.0, 0.0, 0.0, 1.0, 6.0, 16.0, 10.0, 6.0, 0.0, 0.0, 0.0, 10.0, 16.0, 14.0, 11.0, 5.0, 0.0, 0.0, 0.0, 5.0, 15.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 8.0, 0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 1.0, 11.0, 16.0, 16.0, 10.0, 0.0, 0.0, 0.0, 13.0, 14.0, 8.0, 12.0, 11.0, 0.0, 0.0, 0.0, 4.0, 0.0, 0.0, 13.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 15.0, 0.0, 0.0, 0.0, 0.0, 2.0, 15.0, 16.0, 16.0, 9.0, 0.0, 0.0, 0.0, 3.0, 13.0, 16.0, 8.0, 1.0, 0.0, 0.0, 0.0, 0.0, 7.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 3.0, 0.0, 0.0, 0.0], [0.0, 0.0, 7.0, 15.0, 16.0, 12.0, 0.0, 0.0, 0.0, 4.0, 16.0, 11.0, 12.0, 12.0, 0.0, 0.0, 0.0, 2.0, 7.0, 1.0, 13.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 15.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 15.0, 8.0, 0.0, 0.0, 0.0, 5.0, 16.0, 12.0, 15.0, 8.0, 0.0, 0.0, 0.0, 7.0, 16.0, 16.0, 13.0, 2.0, 0.0], [0.0, 0.0, 6.0, 14.0, 14.0, 13.0, 11.0, 0.0, 0.0, 0.0, 14.0, 12.0, 5.0, 4.0, 2.0, 0.0, 0.0, 3.0, 16.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 2.0, 11.0, 11.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 11.0, 0.0, 0.0, 0.0, 0.0, 3.0, 7.0, 12.0, 8.0, 0.0, 0.0, 0.0, 0.0, 7.0, 14.0, 11.0, 1.0, 0.0, 0.0], [0.0, 0.0, 0.0, 10.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 16.0, 14.0, 0.0, 0.0, 0.0, 0.0, 1.0, 5.0, 7.0, 15.0, 8.0, 0.0], [0.0, 0.0, 2.0, 13.0, 10.0, 3.0, 0.0, 0.0, 0.0, 0.0, 10.0, 15.0, 12.0, 13.0, 1.0, 0.0, 0.0, 0.0, 16.0, 4.0, 0.0, 6.0, 4.0, 0.0, 0.0, 2.0, 16.0, 3.0, 0.0, 1.0, 7.0, 0.0, 0.0, 5.0, 13.0, 5.0, 0.0, 2.0, 8.0, 0.0, 0.0, 4.0, 12.0, 0.0, 0.0, 3.0, 8.0, 0.0, 0.0, 0.0, 13.0, 5.0, 6.0, 13.0, 5.0, 0.0, 0.0, 0.0, 5.0, 14.0, 13.0, 8.0, 1.0, 0.0], [0.0, 0.0, 5.0, 13.0, 13.0, 5.0, 0.0, 0.0, 0.0, 0.0, 16.0, 16.0, 10.0, 15.0, 3.0, 0.0, 0.0, 5.0, 16.0, 2.0, 1.0, 8.0, 4.0, 0.0, 0.0, 4.0, 13.0, 0.0, 0.0, 4.0, 8.0, 0.0, 0.0, 8.0, 12.0, 0.0, 0.0, 6.0, 7.0, 0.0, 0.0, 5.0, 15.0, 0.0, 0.0, 7.0, 7.0, 0.0, 0.0, 0.0, 16.0, 8.0, 5.0, 15.0, 3.0, 0.0, 0.0, 0.0, 5.0, 14.0, 15.0, 9.0, 0.0, 0.0], [0.0, 2.0, 15.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 10.0, 15.0, 10.0, 16.0, 2.0, 0.0, 0.0, 0.0, 9.0, 11.0, 5.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 3.0, 15.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 15.0, 5.0, 5.0, 8.0, 3.0, 0.0, 0.0, 3.0, 15.0, 16.0, 16.0, 16.0, 10.0, 0.0], [0.0, 0.0, 5.0, 15.0, 15.0, 2.0, 0.0, 0.0, 0.0, 3.0, 16.0, 9.0, 16.0, 5.0, 0.0, 0.0, 0.0, 5.0, 9.0, 1.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 14.0, 7.0, 6.0, 2.0, 0.0, 0.0, 0.0, 6.0, 16.0, 16.0, 15.0, 2.0, 0.0], [0.0, 0.0, 3.0, 11.0, 16.0, 16.0, 4.0, 0.0, 0.0, 0.0, 9.0, 12.0, 12.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 9.0, 14.0, 16.0, 9.0, 0.0, 0.0, 0.0, 1.0, 16.0, 16.0, 14.0, 5.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 15.0, 7.0, 0.0, 0.0, 0.0], [0.0, 0.0, 4.0, 13.0, 16.0, 14.0, 2.0, 0.0, 0.0, 2.0, 15.0, 5.0, 4.0, 14.0, 4.0, 0.0, 0.0, 8.0, 15.0, 6.0, 1.0, 15.0, 1.0, 0.0, 0.0, 4.0, 16.0, 16.0, 13.0, 10.0, 0.0, 0.0, 0.0, 0.0, 1.0, 9.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 4.0, 14.0, 3.0, 14.0, 6.0, 0.0, 0.0, 0.0, 9.0, 10.0, 3.0, 13.0, 8.0, 0.0, 0.0, 0.0, 3.0, 15.0, 16.0, 11.0, 1.0, 0.0], [0.0, 0.0, 7.0, 16.0, 16.0, 3.0, 0.0, 0.0, 0.0, 7.0, 16.0, 9.0, 14.0, 7.0, 0.0, 0.0, 0.0, 10.0, 9.0, 0.0, 14.0, 5.0, 0.0, 0.0, 0.0, 3.0, 3.0, 4.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 15.0, 8.0, 8.0, 3.0, 0.0, 0.0, 0.0, 10.0, 16.0, 16.0, 16.0, 9.0, 0.0], [0.0, 0.0, 4.0, 13.0, 11.0, 7.0, 0.0, 0.0, 0.0, 0.0, 14.0, 16.0, 13.0, 16.0, 2.0, 0.0, 0.0, 5.0, 16.0, 4.0, 0.0, 5.0, 7.0, 0.0, 0.0, 8.0, 14.0, 0.0, 0.0, 4.0, 8.0, 0.0, 0.0, 6.0, 9.0, 0.0, 0.0, 4.0, 8.0, 0.0, 0.0, 2.0, 14.0, 1.0, 0.0, 8.0, 6.0, 0.0, 0.0, 0.0, 13.0, 12.0, 9.0, 15.0, 2.0, 0.0, 0.0, 0.0, 3.0, 16.0, 12.0, 5.0, 0.0, 0.0], [0.0, 0.0, 0.0, 0.0, 11.0, 14.0, 3.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 14.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 16.0, 15.0, 0.0, 0.0, 0.0, 1.0, 13.0, 16.0, 16.0, 13.0, 0.0, 0.0, 0.0, 6.0, 16.0, 9.0, 15.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 14.0, 1.0, 0.0], [0.0, 2.0, 11.0, 16.0, 12.0, 1.0, 0.0, 0.0, 0.0, 9.0, 16.0, 9.0, 16.0, 4.0, 0.0, 0.0, 0.0, 14.0, 7.0, 4.0, 16.0, 1.0, 0.0, 0.0, 0.0, 6.0, 5.0, 9.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 11.0, 8.0, 12.0, 9.0, 0.0, 0.0, 2.0, 15.0, 16.0, 16.0, 13.0, 16.0, 1.0], [0.0, 0.0, 3.0, 12.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 14.0, 2.0, 0.0, 0.0, 0.0, 0.0, 3.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 5.0, 3.0, 0.0, 0.0, 0.0, 4.0, 10.0, 16.0, 16.0, 16.0, 4.0, 0.0, 0.0, 6.0, 16.0, 4.0, 0.0, 8.0, 9.0, 0.0, 0.0, 0.0, 15.0, 12.0, 4.0, 9.0, 12.0, 0.0, 0.0, 0.0, 2.0, 13.0, 16.0, 14.0, 4.0, 0.0], [0.0, 2.0, 11.0, 16.0, 15.0, 2.0, 0.0, 0.0, 0.0, 12.0, 15.0, 12.0, 16.0, 4.0, 0.0, 0.0, 0.0, 3.0, 3.0, 6.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 2.0, 15.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 16.0, 12.0, 1.0, 0.0, 0.0, 0.0, 0.0, 1.0, 6.0, 15.0, 10.0, 0.0, 0.0, 0.0, 6.0, 12.0, 8.0, 14.0, 11.0, 0.0, 0.0, 1.0, 16.0, 16.0, 16.0, 11.0, 3.0, 0.0], [0.0, 0.0, 7.0, 14.0, 16.0, 11.0, 0.0, 0.0, 0.0, 2.0, 16.0, 11.0, 11.0, 16.0, 2.0, 0.0, 0.0, 0.0, 3.0, 3.0, 15.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 14.0, 15.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 6.0, 0.0, 0.0, 0.0, 3.0, 12.0, 13.0, 15.0, 2.0, 0.0, 0.0, 0.0, 6.0, 16.0, 12.0, 5.0, 0.0, 0.0], [0.0, 0.0, 5.0, 16.0, 16.0, 16.0, 16.0, 11.0, 0.0, 0.0, 6.0, 9.0, 5.0, 5.0, 15.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 11.0, 1.0, 0.0, 0.0, 0.0, 3.0, 6.0, 16.0, 3.0, 0.0, 0.0, 0.0, 5.0, 16.0, 16.0, 16.0, 7.0, 0.0, 0.0, 0.0, 4.0, 8.0, 16.0, 4.0, 1.0, 0.0, 0.0, 0.0, 1.0, 13.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 2.0, 0.0, 0.0, 0.0], [0.0, 2.0, 13.0, 16.0, 16.0, 11.0, 0.0, 0.0, 0.0, 10.0, 11.0, 4.0, 12.0, 12.0, 0.0, 0.0, 0.0, 1.0, 1.0, 4.0, 14.0, 8.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 9.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 12.0, 0.0, 0.0, 0.0, 5.0, 9.0, 10.0, 16.0, 9.0, 0.0, 0.0, 0.0, 15.0, 16.0, 13.0, 7.0, 0.0, 0.0], [0.0, 1.0, 10.0, 16.0, 16.0, 6.0, 0.0, 0.0, 0.0, 7.0, 14.0, 9.0, 12.0, 12.0, 0.0, 0.0, 0.0, 1.0, 1.0, 5.0, 15.0, 5.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 14.0, 3.0, 0.0, 0.0, 0.0, 0.0, 1.0, 11.0, 14.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 11.0, 0.0, 0.0, 0.0, 7.0, 8.0, 13.0, 16.0, 5.0, 0.0, 0.0, 0.0, 15.0, 16.0, 12.0, 5.0, 0.0, 0.0], [0.0, 0.0, 1.0, 14.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 9.0, 0.0, 1.0, 5.0, 0.0, 0.0, 8.0, 16.0, 5.0, 1.0, 12.0, 15.0, 0.0, 0.0, 10.0, 16.0, 12.0, 11.0, 16.0, 6.0, 0.0, 0.0, 3.0, 14.0, 16.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 14.0, 0.0, 0.0, 0.0], [0.0, 0.0, 2.0, 12.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 13.0, 5.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 5.0, 10.0, 10.0, 4.0, 0.0, 0.0, 0.0, 16.0, 14.0, 8.0, 6.0, 13.0, 0.0, 0.0, 0.0, 13.0, 9.0, 2.0, 4.0, 14.0, 0.0, 0.0, 0.0, 3.0, 10.0, 16.0, 16.0, 7.0, 0.0], [0.0, 0.0, 2.0, 13.0, 13.0, 1.0, 0.0, 0.0, 0.0, 0.0, 9.0, 13.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 10.0, 9.0, 9.0, 2.0, 0.0, 0.0, 0.0, 16.0, 11.0, 8.0, 11.0, 12.0, 0.0, 0.0, 1.0, 14.0, 11.0, 1.0, 4.0, 13.0, 0.0, 0.0, 0.0, 3.0, 11.0, 16.0, 15.0, 4.0, 0.0], [0.0, 0.0, 1.0, 13.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 15.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 12.0, 15.0, 15.0, 7.0, 0.0, 0.0, 0.0, 14.0, 14.0, 6.0, 4.0, 14.0, 1.0, 0.0, 0.0, 9.0, 14.0, 3.0, 4.0, 14.0, 2.0, 0.0, 0.0, 1.0, 7.0, 14.0, 16.0, 11.0, 0.0], [0.0, 0.0, 4.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 3.0, 0.0, 7.0, 4.0, 0.0, 0.0, 12.0, 16.0, 6.0, 11.0, 16.0, 7.0, 0.0, 0.0, 7.0, 16.0, 16.0, 15.0, 3.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 6.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 9.0, 15.0, 16.0, 9.0, 0.0, 0.0, 0.0, 10.0, 13.0, 4.0, 12.0, 7.0, 0.0, 0.0, 5.0, 14.0, 1.0, 2.0, 15.0, 3.0, 0.0, 0.0, 4.0, 14.0, 12.0, 16.0, 15.0, 0.0, 0.0, 0.0, 0.0, 1.0, 1.0, 13.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 4.0, 0.0, 0.0, 0.0], [0.0, 0.0, 1.0, 15.0, 11.0, 1.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 14.0, 16.0, 3.0, 0.0, 0.0], [0.0, 0.0, 2.0, 10.0, 16.0, 4.0, 0.0, 0.0, 1.0, 10.0, 16.0, 16.0, 15.0, 4.0, 0.0, 0.0, 0.0, 16.0, 16.0, 10.0, 1.0, 0.0, 0.0, 0.0, 0.0, 15.0, 16.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 5.0, 11.0, 5.0, 15.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 9.0, 0.0, 0.0, 0.0, 0.0, 3.0, 10.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 15.0, 2.0, 0.0, 0.0], [0.0, 0.0, 5.0, 8.0, 11.0, 5.0, 0.0, 0.0, 0.0, 0.0, 13.0, 16.0, 12.0, 12.0, 0.0, 0.0, 0.0, 1.0, 16.0, 9.0, 0.0, 9.0, 3.0, 0.0, 0.0, 3.0, 16.0, 6.0, 0.0, 6.0, 6.0, 0.0, 0.0, 3.0, 11.0, 1.0, 0.0, 5.0, 6.0, 0.0, 0.0, 0.0, 12.0, 0.0, 0.0, 11.0, 6.0, 0.0, 0.0, 0.0, 14.0, 5.0, 12.0, 15.0, 1.0, 0.0, 0.0, 0.0, 6.0, 16.0, 13.0, 2.0, 0.0, 0.0], [0.0, 0.0, 3.0, 14.0, 16.0, 8.0, 0.0, 0.0, 0.0, 3.0, 15.0, 8.0, 4.0, 15.0, 1.0, 0.0, 0.0, 8.0, 10.0, 0.0, 3.0, 16.0, 8.0, 0.0, 0.0, 3.0, 15.0, 13.0, 16.0, 14.0, 1.0, 0.0, 0.0, 0.0, 2.0, 5.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 13.0, 0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 5.0, 8.0, 12.0, 16.0, 4.0, 0.0, 0.0, 3.0, 16.0, 11.0, 7.0, 1.0, 0.0, 0.0, 0.0, 3.0, 14.0, 6.0, 4.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 12.0, 14.0, 6.0, 0.0, 0.0, 0.0, 0.0, 2.0, 0.0, 4.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 10.0, 0.0, 0.0, 0.0, 0.0, 6.0, 8.0, 14.0, 7.0, 0.0, 0.0, 0.0, 0.0, 7.0, 13.0, 7.0, 0.0, 0.0, 0.0], [0.0, 0.0, 11.0, 16.0, 15.0, 5.0, 0.0, 0.0, 0.0, 8.0, 16.0, 14.0, 16.0, 8.0, 0.0, 0.0, 0.0, 11.0, 10.0, 0.0, 16.0, 8.0, 0.0, 0.0, 0.0, 3.0, 1.0, 6.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 1.0, 15.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 14.0, 12.0, 12.0, 8.0, 0.0, 0.0, 1.0, 15.0, 16.0, 16.0, 14.0, 8.0, 0.0], [0.0, 0.0, 4.0, 13.0, 15.0, 9.0, 0.0, 0.0, 0.0, 4.0, 14.0, 6.0, 5.0, 16.0, 0.0, 0.0, 0.0, 7.0, 12.0, 2.0, 2.0, 16.0, 0.0, 0.0, 0.0, 4.0, 16.0, 15.0, 14.0, 7.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 10.0, 6.0, 8.0, 15.0, 2.0, 0.0, 0.0, 0.0, 11.0, 9.0, 4.0, 13.0, 11.0, 0.0, 0.0, 0.0, 2.0, 14.0, 16.0, 15.0, 6.0, 0.0], [0.0, 2.0, 15.0, 16.0, 15.0, 2.0, 0.0, 0.0, 0.0, 8.0, 14.0, 8.0, 14.0, 8.0, 0.0, 0.0, 0.0, 7.0, 5.0, 2.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0, 1.0, 15.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 9.0, 8.0, 8.0, 2.0, 0.0, 0.0, 2.0, 15.0, 16.0, 16.0, 16.0, 13.0, 0.0], [0.0, 0.0, 3.0, 11.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 10.0, 14.0, 6.0, 0.0, 0.0, 0.0, 15.0, 7.0, 0.0, 11.0, 8.0, 0.0, 0.0, 3.0, 16.0, 2.0, 0.0, 8.0, 8.0, 0.0, 0.0, 4.0, 12.0, 0.0, 0.0, 9.0, 8.0, 0.0, 0.0, 6.0, 15.0, 1.0, 0.0, 12.0, 8.0, 0.0, 0.0, 3.0, 15.0, 10.0, 8.0, 15.0, 4.0, 0.0, 0.0, 0.0, 5.0, 12.0, 14.0, 9.0, 0.0, 0.0], [0.0, 0.0, 7.0, 15.0, 9.0, 5.0, 0.0, 0.0, 0.0, 0.0, 14.0, 16.0, 14.0, 15.0, 0.0, 0.0, 0.0, 1.0, 16.0, 8.0, 4.0, 6.0, 4.0, 0.0, 0.0, 4.0, 15.0, 1.0, 0.0, 6.0, 5.0, 0.0, 0.0, 3.0, 11.0, 0.0, 0.0, 7.0, 5.0, 0.0, 0.0, 3.0, 11.0, 0.0, 1.0, 13.0, 2.0, 0.0, 0.0, 1.0, 13.0, 8.0, 13.0, 13.0, 0.0, 0.0, 0.0, 0.0, 6.0, 15.0, 11.0, 1.0, 0.0, 0.0], [0.0, 0.0, 0.0, 2.0, 13.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 16.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 15.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 13.0, 8.0, 0.0, 0.0], [0.0, 0.0, 3.0, 11.0, 16.0, 15.0, 1.0, 0.0, 0.0, 1.0, 16.0, 14.0, 10.0, 16.0, 2.0, 0.0, 0.0, 5.0, 12.0, 0.0, 8.0, 12.0, 0.0, 0.0, 0.0, 0.0, 1.0, 1.0, 13.0, 9.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 16.0, 13.0, 2.0, 0.0, 0.0, 0.0, 11.0, 14.0, 15.0, 12.0, 5.0, 0.0, 0.0, 0.0, 0.0, 15.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 5.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 4.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 8.0, 1.0, 0.0, 0.0, 0.0, 0.0, 6.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 12.0, 11.0, 10.0, 0.0, 0.0, 0.0, 4.0, 16.0, 15.0, 8.0, 11.0, 10.0, 0.0, 0.0, 1.0, 7.0, 15.0, 4.0, 3.0, 12.0, 0.0, 0.0, 0.0, 0.0, 7.0, 15.0, 16.0, 8.0, 0.0], [0.0, 0.0, 8.0, 14.0, 15.0, 6.0, 0.0, 0.0, 0.0, 4.0, 16.0, 12.0, 14.0, 11.0, 0.0, 0.0, 0.0, 4.0, 8.0, 1.0, 14.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 15.0, 7.0, 0.0, 0.0, 0.0, 4.0, 11.0, 8.0, 14.0, 7.0, 0.0, 0.0, 0.0, 11.0, 16.0, 16.0, 10.0, 0.0, 0.0], [0.0, 0.0, 10.0, 16.0, 16.0, 7.0, 0.0, 0.0, 0.0, 6.0, 15.0, 9.0, 14.0, 12.0, 0.0, 0.0, 0.0, 3.0, 5.0, 0.0, 13.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 13.0, 11.0, 8.0, 3.0, 0.0, 0.0, 0.0, 12.0, 16.0, 16.0, 16.0, 5.0, 0.0], [0.0, 0.0, 0.0, 0.0, 10.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 16.0, 16.0, 4.0, 0.0, 0.0, 0.0, 3.0, 12.0, 6.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 13.0, 7.0, 0.0], [0.0, 0.0, 3.0, 13.0, 16.0, 11.0, 0.0, 0.0, 0.0, 0.0, 14.0, 12.0, 14.0, 16.0, 1.0, 0.0, 0.0, 0.0, 6.0, 0.0, 7.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 11.0, 0.0, 0.0, 0.0, 0.0, 8.0, 13.0, 16.0, 14.0, 4.0, 0.0, 0.0, 5.0, 16.0, 16.0, 14.0, 12.0, 4.0, 0.0, 0.0, 0.0, 3.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 13.0, 0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 2.0, 13.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 16.0, 2.0, 0.0, 4.0, 0.0, 0.0, 5.0, 16.0, 10.0, 1.0, 13.0, 15.0, 0.0, 0.0, 7.0, 16.0, 16.0, 16.0, 16.0, 4.0, 0.0, 0.0, 0.0, 8.0, 15.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 11.0, 0.0, 0.0, 0.0], [0.0, 0.0, 3.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 14.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 15.0, 15.0, 16.0, 15.0, 2.0, 0.0, 0.0, 1.0, 16.0, 8.0, 4.0, 8.0, 11.0, 0.0, 0.0, 1.0, 16.0, 11.0, 7.0, 10.0, 12.0, 0.0, 0.0, 0.0, 5.0, 10.0, 12.0, 15.0, 7.0, 0.0], [0.0, 0.0, 12.0, 16.0, 16.0, 13.0, 1.0, 0.0, 0.0, 4.0, 15.0, 9.0, 12.0, 16.0, 2.0, 0.0, 0.0, 0.0, 2.0, 0.0, 11.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 13.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 6.0, 0.0, 0.0, 0.0, 4.0, 6.0, 6.0, 16.0, 6.0, 0.0, 0.0, 0.0, 12.0, 16.0, 16.0, 9.0, 0.0, 0.0], [0.0, 0.0, 0.0, 12.0, 15.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 16.0, 3.0, 0.0, 0.0, 0.0, 1.0, 16.0, 16.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 7.0, 0.0, 0.0], [0.0, 2.0, 10.0, 14.0, 11.0, 1.0, 0.0, 0.0, 0.0, 7.0, 15.0, 8.0, 16.0, 4.0, 0.0, 0.0, 0.0, 1.0, 1.0, 6.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 15.0, 9.0, 1.0, 0.0, 0.0, 0.0, 0.0, 1.0, 6.0, 15.0, 8.0, 0.0, 0.0, 2.0, 8.0, 4.0, 6.0, 15.0, 7.0, 0.0, 0.0, 2.0, 13.0, 16.0, 15.0, 9.0, 0.0, 0.0], [0.0, 0.0, 2.0, 10.0, 16.0, 13.0, 0.0, 0.0, 0.0, 3.0, 16.0, 8.0, 2.0, 16.0, 1.0, 0.0, 0.0, 8.0, 13.0, 0.0, 2.0, 16.0, 6.0, 0.0, 0.0, 6.0, 16.0, 12.0, 16.0, 16.0, 7.0, 0.0, 0.0, 0.0, 2.0, 4.0, 8.0, 12.0, 1.0, 0.0, 0.0, 0.0, 0.0, 1.0, 15.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 3.0, 0.0, 0.0, 0.0], [0.0, 0.0, 1.0, 14.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 1.0, 15.0, 16.0, 8.0, 0.0, 0.0], [0.0, 0.0, 6.0, 15.0, 16.0, 3.0, 0.0, 0.0, 0.0, 3.0, 16.0, 12.0, 15.0, 8.0, 0.0, 0.0, 0.0, 0.0, 4.0, 0.0, 14.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 6.0, 2.0, 0.0, 0.0, 0.0, 4.0, 14.0, 16.0, 16.0, 8.0, 0.0, 0.0, 0.0, 15.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 9.0, 0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 11.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 8.0, 2.0, 0.0, 0.0, 0.0, 0.0, 15.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 4.0, 3.0, 1.0, 0.0, 0.0, 0.0, 1.0, 16.0, 16.0, 16.0, 16.0, 4.0, 0.0, 0.0, 0.0, 14.0, 12.0, 4.0, 6.0, 12.0, 0.0, 0.0, 0.0, 10.0, 16.0, 5.0, 10.0, 15.0, 0.0, 0.0, 0.0, 2.0, 11.0, 16.0, 12.0, 8.0, 0.0], [0.0, 0.0, 3.0, 10.0, 12.0, 12.0, 2.0, 0.0, 0.0, 1.0, 13.0, 12.0, 6.0, 13.0, 8.0, 0.0, 0.0, 8.0, 16.0, 8.0, 8.0, 14.0, 1.0, 0.0, 0.0, 5.0, 14.0, 16.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 12.0, 16.0, 15.0, 2.0, 0.0, 0.0, 0.0, 3.0, 16.0, 2.0, 15.0, 10.0, 0.0, 0.0, 0.0, 4.0, 16.0, 8.0, 12.0, 12.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 15.0, 3.0, 0.0, 0.0], [0.0, 0.0, 0.0, 9.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 15.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 15.0, 1.0, 3.0, 8.0, 0.0, 0.0, 6.0, 16.0, 4.0, 0.0, 14.0, 12.0, 0.0, 0.0, 12.0, 16.0, 4.0, 11.0, 16.0, 5.0, 0.0, 0.0, 9.0, 16.0, 16.0, 16.0, 11.0, 0.0, 0.0, 0.0, 0.0, 6.0, 11.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 4.0, 0.0, 0.0], [0.0, 1.0, 12.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 7.0, 11.0, 7.0, 14.0, 1.0, 0.0, 0.0, 0.0, 2.0, 2.0, 3.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 14.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 16.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 2.0, 0.0, 5.0, 15.0, 6.0, 0.0, 0.0, 1.0, 11.0, 4.0, 4.0, 13.0, 8.0, 0.0, 0.0, 2.0, 14.0, 16.0, 16.0, 13.0, 1.0, 0.0], [0.0, 0.0, 3.0, 16.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 13.0, 15.0, 0.0, 0.0, 0.0], [0.0, 0.0, 2.0, 15.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 5.0, 0.0, 2.0, 0.0, 0.0, 2.0, 15.0, 10.0, 0.0, 11.0, 16.0, 1.0, 0.0, 10.0, 16.0, 4.0, 6.0, 16.0, 10.0, 0.0, 0.0, 6.0, 16.0, 16.0, 16.0, 15.0, 1.0, 0.0, 0.0, 0.0, 6.0, 13.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 5.0, 0.0, 0.0, 0.0], [0.0, 0.0, 3.0, 14.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 16.0, 14.0, 9.0, 0.0, 0.0, 0.0, 4.0, 16.0, 16.0, 11.0, 15.0, 3.0, 0.0, 0.0, 5.0, 15.0, 6.0, 0.0, 4.0, 8.0, 0.0, 0.0, 8.0, 8.0, 0.0, 0.0, 4.0, 8.0, 0.0, 0.0, 5.0, 11.0, 0.0, 0.0, 6.0, 6.0, 0.0, 0.0, 0.0, 13.0, 10.0, 5.0, 15.0, 5.0, 0.0, 0.0, 0.0, 2.0, 12.0, 14.0, 8.0, 0.0, 0.0], [0.0, 0.0, 5.0, 11.0, 16.0, 12.0, 0.0, 0.0, 0.0, 0.0, 16.0, 12.0, 4.0, 3.0, 0.0, 0.0, 0.0, 4.0, 16.0, 6.0, 3.0, 0.0, 0.0, 0.0, 0.0, 4.0, 15.0, 16.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 6.0, 0.0, 0.0, 0.0, 0.0, 1.0, 8.0, 15.0, 1.0, 0.0, 0.0, 0.0, 6.0, 16.0, 13.0, 1.0, 0.0, 0.0], [0.0, 0.0, 6.0, 13.0, 16.0, 10.0, 0.0, 0.0, 0.0, 4.0, 13.0, 5.0, 4.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 10.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 7.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 8.0, 0.0, 0.0, 0.0, 8.0, 6.0, 3.0, 11.0, 7.0, 0.0, 0.0, 0.0, 4.0, 14.0, 16.0, 11.0, 1.0, 0.0], [0.0, 0.0, 1.0, 13.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 14.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 10.0, 12.0, 12.0, 3.0, 0.0, 0.0, 3.0, 16.0, 11.0, 5.0, 9.0, 12.0, 0.0, 0.0, 1.0, 13.0, 11.0, 4.0, 13.0, 11.0, 0.0, 0.0, 0.0, 1.0, 12.0, 16.0, 11.0, 2.0, 0.0], [0.0, 0.0, 3.0, 11.0, 15.0, 13.0, 2.0, 0.0, 0.0, 2.0, 15.0, 11.0, 8.0, 14.0, 7.0, 0.0, 0.0, 8.0, 14.0, 0.0, 2.0, 13.0, 2.0, 0.0, 0.0, 3.0, 13.0, 16.0, 16.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 15.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 1.0, 0.0, 0.0, 0.0], [0.0, 0.0, 1.0, 10.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 14.0, 11.0, 3.0, 0.0, 0.0, 0.0, 0.0, 16.0, 2.0, 2.0, 0.0, 0.0, 0.0, 0.0, 3.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 13.0, 0.0, 6.0, 10.0, 3.0, 0.0, 0.0, 3.0, 15.0, 13.0, 12.0, 10.0, 12.0, 0.0, 0.0, 0.0, 10.0, 16.0, 4.0, 5.0, 14.0, 0.0, 0.0, 0.0, 0.0, 9.0, 15.0, 14.0, 9.0, 0.0], [0.0, 0.0, 8.0, 16.0, 15.0, 8.0, 0.0, 0.0, 0.0, 1.0, 16.0, 16.0, 16.0, 2.0, 0.0, 0.0, 0.0, 2.0, 16.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 16.0, 12.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 16.0, 13.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 16.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 15.0, 15.0, 0.0, 0.0, 0.0], [0.0, 0.0, 8.0, 16.0, 16.0, 1.0, 0.0, 0.0, 0.0, 1.0, 12.0, 10.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 2.0, 0.0, 0.0, 0.0, 4.0, 12.0, 14.0, 16.0, 12.0, 5.0, 0.0, 0.0, 12.0, 16.0, 16.0, 14.0, 12.0, 5.0, 0.0, 0.0, 0.0, 6.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 8.0, 0.0, 0.0, 0.0, 0.0], [0.0, 2.0, 12.0, 13.0, 16.0, 15.0, 1.0, 0.0, 0.0, 8.0, 16.0, 14.0, 11.0, 7.0, 0.0, 0.0, 0.0, 8.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 16.0, 11.0, 1.0, 0.0, 0.0, 0.0, 0.0, 2.0, 6.0, 15.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 15.0, 0.0, 0.0, 0.0, 0.0, 1.0, 7.0, 16.0, 11.0, 0.0, 0.0, 0.0, 1.0, 16.0, 16.0, 13.0, 1.0, 0.0, 0.0], [0.0, 0.0, 0.0, 10.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 8.0, 0.0, 3.0, 5.0, 0.0, 0.0, 10.0, 15.0, 0.0, 2.0, 15.0, 10.0, 0.0, 0.0, 12.0, 16.0, 14.0, 16.0, 13.0, 1.0, 0.0, 0.0, 2.0, 11.0, 14.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 2.0, 0.0, 0.0], [0.0, 0.0, 0.0, 7.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 14.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 8.0, 0.0, 0.0, 1.0, 0.0, 0.0, 4.0, 16.0, 3.0, 1.0, 10.0, 10.0, 0.0, 0.0, 8.0, 16.0, 12.0, 14.0, 13.0, 3.0, 0.0, 0.0, 2.0, 12.0, 10.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 13.0, 0.0, 0.0, 0.0], [0.0, 0.0, 2.0, 13.0, 16.0, 13.0, 0.0, 0.0, 0.0, 0.0, 14.0, 15.0, 14.0, 16.0, 0.0, 0.0, 0.0, 0.0, 5.0, 0.0, 10.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 13.0, 0.0, 0.0, 0.0, 0.0, 7.0, 14.0, 16.0, 16.0, 7.0, 0.0, 0.0, 0.0, 14.0, 16.0, 14.0, 10.0, 3.0, 0.0, 0.0, 0.0, 3.0, 15.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 15.0, 0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 7.0, 12.0, 12.0, 2.0, 0.0, 0.0, 0.0, 5.0, 15.0, 6.0, 10.0, 9.0, 0.0, 0.0, 0.0, 11.0, 4.0, 0.0, 11.0, 6.0, 0.0, 0.0, 0.0, 3.0, 0.0, 2.0, 15.0, 2.0, 0.0, 0.0, 0.0, 0.0, 1.0, 13.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 11.0, 1.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 7.0, 4.0, 4.0, 2.0, 0.0, 0.0, 0.0, 11.0, 12.0, 13.0, 14.0, 11.0, 0.0], [0.0, 0.0, 7.0, 13.0, 16.0, 11.0, 0.0, 0.0, 0.0, 3.0, 16.0, 5.0, 4.0, 14.0, 2.0, 0.0, 0.0, 8.0, 11.0, 1.0, 4.0, 15.0, 2.0, 0.0, 0.0, 3.0, 12.0, 14.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 15.0, 1.0, 0.0, 0.0, 0.0, 1.0, 15.0, 5.0, 11.0, 12.0, 0.0, 0.0, 0.0, 3.0, 16.0, 5.0, 7.0, 16.0, 1.0, 0.0, 0.0, 0.0, 5.0, 14.0, 16.0, 15.0, 2.0, 0.0], [0.0, 3.0, 15.0, 16.0, 13.0, 1.0, 0.0, 0.0, 0.0, 10.0, 13.0, 9.0, 16.0, 4.0, 0.0, 0.0, 0.0, 1.0, 1.0, 0.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 13.0, 12.0, 7.0, 2.0, 0.0, 0.0, 2.0, 13.0, 13.0, 13.0, 16.0, 15.0, 0.0], [0.0, 3.0, 13.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 10.0, 15.0, 13.0, 15.0, 2.0, 0.0, 0.0, 0.0, 15.0, 4.0, 4.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 1.0, 14.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 13.0, 8.0, 10.0, 9.0, 1.0, 0.0, 2.0, 16.0, 16.0, 14.0, 12.0, 9.0, 1.0], [0.0, 0.0, 7.0, 11.0, 12.0, 14.0, 2.0, 0.0, 0.0, 8.0, 16.0, 9.0, 4.0, 3.0, 0.0, 0.0, 0.0, 10.0, 15.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 12.0, 16.0, 14.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 13.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 9.0, 0.0, 0.0, 0.0, 2.0, 4.0, 8.0, 15.0, 9.0, 0.0, 0.0, 0.0, 10.0, 16.0, 13.0, 8.0, 0.0, 0.0], [0.0, 0.0, 1.0, 9.0, 16.0, 16.0, 3.0, 0.0, 0.0, 0.0, 14.0, 11.0, 8.0, 16.0, 8.0, 0.0, 0.0, 0.0, 4.0, 0.0, 0.0, 15.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 3.0, 0.0, 0.0, 0.0, 6.0, 12.0, 16.0, 16.0, 9.0, 0.0, 0.0, 1.0, 16.0, 14.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 2.0, 8.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 7.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 5.0, 13.0, 16.0, 8.0, 0.0, 0.0, 0.0, 8.0, 15.0, 6.0, 7.0, 14.0, 0.0, 0.0, 2.0, 16.0, 1.0, 1.0, 11.0, 10.0, 0.0, 0.0, 4.0, 16.0, 15.0, 16.0, 16.0, 6.0, 0.0, 0.0, 0.0, 4.0, 4.0, 5.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 10.0, 0.0, 0.0, 0.0], [0.0, 4.0, 10.0, 15.0, 16.0, 16.0, 14.0, 0.0, 0.0, 11.0, 16.0, 14.0, 8.0, 5.0, 2.0, 0.0, 0.0, 6.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 10.0, 0.0, 0.0, 0.0, 0.0, 5.0, 10.0, 14.0, 10.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 15.0, 3.0, 0.0, 0.0, 0.0], [0.0, 0.0, 1.0, 15.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 10.0, 0.0, 1.0, 3.0, 0.0, 0.0, 5.0, 16.0, 3.0, 1.0, 12.0, 15.0, 0.0, 0.0, 11.0, 16.0, 8.0, 14.0, 15.0, 3.0, 0.0, 0.0, 6.0, 16.0, 16.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 1.0, 14.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 12.0, 0.0, 0.0, 0.0], [0.0, 0.0, 4.0, 11.0, 14.0, 4.0, 0.0, 0.0, 0.0, 5.0, 13.0, 4.0, 9.0, 7.0, 0.0, 0.0, 0.0, 7.0, 10.0, 10.0, 13.0, 2.0, 0.0, 0.0, 0.0, 1.0, 9.0, 16.0, 15.0, 2.0, 0.0, 0.0, 0.0, 0.0, 8.0, 7.0, 9.0, 12.0, 0.0, 0.0, 0.0, 0.0, 12.0, 0.0, 1.0, 14.0, 5.0, 0.0, 0.0, 0.0, 11.0, 6.0, 0.0, 7.0, 8.0, 0.0, 0.0, 0.0, 2.0, 15.0, 16.0, 15.0, 4.0, 0.0], [0.0, 0.0, 3.0, 12.0, 15.0, 14.0, 3.0, 0.0, 0.0, 1.0, 16.0, 5.0, 0.0, 8.0, 12.0, 0.0, 0.0, 6.0, 16.0, 11.0, 2.0, 13.0, 7.0, 0.0, 0.0, 2.0, 9.0, 15.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 3.0, 14.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 9.0, 5.0, 6.0, 15.0, 0.0, 0.0, 0.0, 0.0, 11.0, 10.0, 7.0, 16.0, 2.0, 0.0, 0.0, 0.0, 3.0, 12.0, 16.0, 13.0, 0.0, 0.0], [0.0, 0.0, 0.0, 6.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 2.0, 15.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 16.0, 3.0, 2.0, 3.0, 0.0, 0.0, 7.0, 16.0, 7.0, 3.0, 15.0, 11.0, 0.0, 0.0, 7.0, 16.0, 14.0, 14.0, 16.0, 5.0, 0.0, 0.0, 1.0, 7.0, 12.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 15.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 2.0, 9.0, 16.0, 10.0, 0.0, 0.0, 0.0, 7.0, 15.0, 8.0, 7.0, 12.0, 0.0, 0.0, 1.0, 15.0, 3.0, 0.0, 11.0, 12.0, 0.0, 0.0, 8.0, 14.0, 9.0, 13.0, 16.0, 8.0, 0.0, 0.0, 1.0, 7.0, 7.0, 3.0, 13.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 4.0, 0.0, 0.0], [0.0, 0.0, 5.0, 11.0, 4.0, 1.0, 0.0, 0.0, 0.0, 0.0, 15.0, 16.0, 16.0, 11.0, 0.0, 0.0, 0.0, 2.0, 16.0, 9.0, 2.0, 12.0, 4.0, 0.0, 0.0, 6.0, 13.0, 0.0, 0.0, 6.0, 6.0, 0.0, 0.0, 3.0, 13.0, 0.0, 0.0, 5.0, 9.0, 0.0, 0.0, 3.0, 16.0, 0.0, 0.0, 6.0, 8.0, 0.0, 0.0, 0.0, 13.0, 12.0, 8.0, 16.0, 7.0, 0.0, 0.0, 0.0, 4.0, 13.0, 12.0, 10.0, 0.0, 0.0], [0.0, 0.0, 1.0, 13.0, 16.0, 14.0, 4.0, 0.0, 0.0, 2.0, 11.0, 8.0, 4.0, 11.0, 7.0, 0.0, 0.0, 6.0, 16.0, 3.0, 3.0, 13.0, 2.0, 0.0, 0.0, 0.0, 9.0, 14.0, 14.0, 4.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 10.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 11.0, 10.0, 15.0, 4.0, 0.0, 0.0, 0.0, 0.0, 1.0, 14.0, 15.0, 1.0, 0.0, 0.0], [0.0, 0.0, 0.0, 9.0, 15.0, 12.0, 1.0, 0.0, 0.0, 1.0, 11.0, 12.0, 5.0, 15.0, 4.0, 0.0, 0.0, 6.0, 14.0, 0.0, 0.0, 13.0, 7.0, 0.0, 0.0, 5.0, 16.0, 12.0, 12.0, 16.0, 4.0, 0.0, 0.0, 0.0, 3.0, 8.0, 14.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 9.0, 0.0, 0.0, 0.0], [0.0, 1.0, 9.0, 15.0, 16.0, 9.0, 0.0, 0.0, 0.0, 6.0, 12.0, 1.0, 2.0, 16.0, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 8.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 15.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 15.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 13.0, 2.0, 0.0, 0.0, 2.0, 7.0, 4.0, 4.0, 14.0, 3.0, 0.0, 0.0, 0.0, 9.0, 16.0, 16.0, 10.0, 0.0, 0.0], [0.0, 0.0, 9.0, 15.0, 5.0, 0.0, 0.0, 0.0, 0.0, 3.0, 15.0, 15.0, 16.0, 4.0, 0.0, 0.0, 0.0, 10.0, 14.0, 0.0, 9.0, 14.0, 0.0, 0.0, 0.0, 8.0, 12.0, 0.0, 0.0, 12.0, 5.0, 0.0, 0.0, 8.0, 8.0, 0.0, 0.0, 10.0, 8.0, 0.0, 0.0, 5.0, 14.0, 0.0, 0.0, 12.0, 8.0, 0.0, 0.0, 0.0, 16.0, 7.0, 12.0, 16.0, 4.0, 0.0, 0.0, 0.0, 9.0, 16.0, 15.0, 7.0, 0.0, 0.0], [0.0, 0.0, 0.0, 0.0, 13.0, 16.0, 6.0, 0.0, 0.0, 0.0, 3.0, 11.0, 16.0, 16.0, 5.0, 0.0, 0.0, 5.0, 16.0, 16.0, 16.0, 16.0, 4.0, 0.0, 0.0, 4.0, 10.0, 9.0, 16.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 1.0, 12.0, 14.0, 5.0, 0.0], [0.0, 0.0, 7.0, 14.0, 5.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 16.0, 11.0, 0.0, 0.0, 0.0, 0.0, 2.0, 14.0, 2.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 14.0, 8.0, 10.0, 0.0, 0.0, 0.0, 7.0, 12.0, 12.0, 12.0, 15.0, 2.0], [0.0, 0.0, 8.0, 12.0, 12.0, 14.0, 3.0, 0.0, 0.0, 0.0, 11.0, 11.0, 10.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 16.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 8.0, 16.0, 4.0, 0.0, 0.0, 0.0, 3.0, 0.0, 0.0, 16.0, 4.0, 0.0, 0.0, 1.0, 16.0, 9.0, 9.0, 15.0, 2.0, 0.0, 0.0, 1.0, 11.0, 14.0, 15.0, 3.0, 0.0, 0.0], [0.0, 0.0, 0.0, 2.0, 13.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 15.0, 2.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 12.0, 9.0, 14.0, 6.0, 0.0, 0.0, 0.0, 5.0, 14.0, 0.0, 13.0, 7.0, 1.0, 0.0, 0.0, 9.0, 15.0, 12.0, 16.0, 16.0, 4.0, 0.0, 0.0, 2.0, 8.0, 9.0, 16.0, 10.0, 1.0, 0.0, 0.0, 0.0, 0.0, 1.0, 13.0, 2.0, 0.0, 0.0], [0.0, 0.0, 12.0, 13.0, 12.0, 12.0, 12.0, 0.0, 0.0, 0.0, 16.0, 13.0, 12.0, 11.0, 11.0, 0.0, 0.0, 0.0, 16.0, 13.0, 11.0, 2.0, 0.0, 0.0, 0.0, 3.0, 16.0, 14.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 11.0, 0.0, 0.0, 0.0, 1.0, 14.0, 11.0, 15.0, 9.0, 0.0, 0.0, 0.0, 0.0, 10.0, 14.0, 12.0, 0.0, 0.0, 0.0], [0.0, 0.0, 1.0, 11.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 12.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 5.0, 5.0, 4.0, 0.0, 0.0, 0.0, 7.0, 16.0, 16.0, 16.0, 16.0, 5.0, 0.0, 0.0, 0.0, 16.0, 13.0, 4.0, 13.0, 7.0, 0.0, 0.0, 0.0, 9.0, 16.0, 14.0, 16.0, 4.0, 0.0, 0.0, 0.0, 1.0, 11.0, 14.0, 9.0, 0.0, 0.0], [0.0, 0.0, 2.0, 12.0, 8.0, 7.0, 6.0, 2.0, 0.0, 0.0, 9.0, 16.0, 15.0, 16.0, 16.0, 5.0, 0.0, 0.0, 13.0, 11.0, 0.0, 10.0, 14.0, 0.0, 0.0, 0.0, 11.0, 3.0, 2.0, 15.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 2.0, 0.0, 0.0, 0.0], [0.0, 0.0, 1.0, 6.0, 8.0, 9.0, 3.0, 0.0, 0.0, 0.0, 13.0, 15.0, 12.0, 11.0, 7.0, 0.0, 0.0, 0.0, 13.0, 11.0, 0.0, 9.0, 7.0, 0.0, 0.0, 0.0, 5.0, 15.0, 15.0, 15.0, 0.0, 0.0, 0.0, 0.0, 1.0, 14.0, 16.0, 16.0, 0.0, 0.0, 0.0, 0.0, 11.0, 9.0, 0.0, 16.0, 1.0, 0.0, 0.0, 0.0, 9.0, 10.0, 10.0, 13.0, 0.0, 0.0, 0.0, 0.0, 3.0, 11.0, 9.0, 2.0, 0.0, 0.0], [0.0, 0.0, 7.0, 14.0, 13.0, 8.0, 0.0, 0.0, 0.0, 1.0, 15.0, 13.0, 14.0, 14.0, 0.0, 0.0, 0.0, 0.0, 13.0, 13.0, 13.0, 16.0, 3.0, 0.0, 0.0, 0.0, 4.0, 14.0, 13.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 4.0, 0.0, 0.0, 7.0, 16.0, 9.0, 10.0, 15.0, 2.0, 0.0, 0.0, 1.0, 8.0, 13.0, 15.0, 8.0, 0.0, 0.0], [0.0, 0.0, 4.0, 13.0, 12.0, 1.0, 0.0, 0.0, 0.0, 2.0, 15.0, 14.0, 16.0, 13.0, 0.0, 0.0, 0.0, 6.0, 16.0, 4.0, 6.0, 16.0, 5.0, 0.0, 0.0, 8.0, 15.0, 1.0, 0.0, 12.0, 8.0, 0.0, 0.0, 8.0, 12.0, 0.0, 0.0, 12.0, 8.0, 0.0, 0.0, 5.0, 13.0, 0.0, 1.0, 13.0, 8.0, 0.0, 0.0, 1.0, 15.0, 10.0, 12.0, 16.0, 3.0, 0.0, 0.0, 0.0, 6.0, 16.0, 13.0, 4.0, 0.0, 0.0], [0.0, 0.0, 1.0, 8.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 16.0, 12.0, 0.0, 0.0, 0.0, 1.0, 15.0, 16.0, 16.0, 12.0, 0.0, 0.0, 0.0, 3.0, 12.0, 15.0, 16.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 5.0, 13.0, 7.0, 0.0, 0.0], [0.0, 0.0, 7.0, 13.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 16.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 5.0, 15.0, 3.0, 0.0, 0.0, 0.0, 0.0, 6.0, 2.0, 14.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 4.0, 4.0, 0.0, 0.0, 0.0, 7.0, 16.0, 16.0, 16.0, 16.0, 3.0, 0.0, 0.0, 6.0, 15.0, 6.0, 9.0, 9.0, 1.0], [0.0, 0.0, 10.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 14.0, 16.0, 2.0, 0.0, 0.0, 0.0, 3.0, 15.0, 8.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 10.0, 15.0, 2.0, 0.0, 0.0, 0.0, 10.0, 0.0, 0.0, 14.0, 8.0, 0.0, 0.0, 1.0, 16.0, 6.0, 8.0, 13.0, 8.0, 0.0, 0.0, 1.0, 15.0, 16.0, 13.0, 10.0, 1.0, 0.0], [0.0, 0.0, 0.0, 11.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 4.0, 3.0, 0.0, 0.0, 0.0, 0.0, 10.0, 9.0, 16.0, 4.0, 0.0, 0.0, 0.0, 2.0, 14.0, 5.0, 16.0, 2.0, 0.0, 0.0, 0.0, 8.0, 13.0, 7.0, 16.0, 11.0, 2.0, 0.0, 0.0, 10.0, 16.0, 16.0, 16.0, 14.0, 1.0, 0.0, 0.0, 0.0, 0.0, 11.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 7.0, 0.0, 0.0, 0.0], [0.0, 1.0, 8.0, 8.0, 9.0, 13.0, 8.0, 0.0, 0.0, 2.0, 16.0, 16.0, 16.0, 14.0, 9.0, 0.0, 0.0, 3.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 16.0, 15.0, 1.0, 0.0, 0.0, 0.0, 5.0, 10.0, 8.0, 15.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 7.0, 0.0, 0.0, 0.0, 0.0, 15.0, 12.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 9.0, 0.0, 0.0, 0.0], [0.0, 0.0, 2.0, 11.0, 13.0, 4.0, 0.0, 0.0, 0.0, 0.0, 12.0, 16.0, 13.0, 15.0, 0.0, 0.0, 0.0, 0.0, 16.0, 9.0, 1.0, 3.0, 0.0, 0.0, 0.0, 4.0, 16.0, 6.0, 14.0, 9.0, 1.0, 0.0, 0.0, 7.0, 16.0, 16.0, 16.0, 16.0, 6.0, 0.0, 0.0, 1.0, 16.0, 14.0, 4.0, 16.0, 8.0, 0.0, 0.0, 0.0, 12.0, 16.0, 13.0, 16.0, 2.0, 0.0, 0.0, 0.0, 2.0, 10.0, 16.0, 7.0, 0.0, 0.0], [0.0, 0.0, 1.0, 8.0, 8.0, 9.0, 12.0, 7.0, 0.0, 0.0, 8.0, 16.0, 12.0, 13.0, 16.0, 5.0, 0.0, 0.0, 11.0, 6.0, 0.0, 8.0, 11.0, 0.0, 0.0, 0.0, 15.0, 3.0, 1.0, 15.0, 3.0, 0.0, 0.0, 0.0, 1.0, 0.0, 10.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 13.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 11.0, 1.0, 0.0, 0.0, 0.0], [0.0, 0.0, 5.0, 11.0, 8.0, 7.0, 0.0, 0.0, 0.0, 3.0, 16.0, 11.0, 9.0, 16.0, 4.0, 0.0, 0.0, 0.0, 14.0, 3.0, 7.0, 15.0, 0.0, 0.0, 0.0, 0.0, 5.0, 15.0, 15.0, 3.0, 0.0, 0.0, 0.0, 0.0, 10.0, 15.0, 14.0, 1.0, 0.0, 0.0, 0.0, 4.0, 13.0, 0.0, 9.0, 7.0, 0.0, 0.0, 0.0, 3.0, 11.0, 5.0, 13.0, 7.0, 0.0, 0.0, 0.0, 0.0, 6.0, 10.0, 6.0, 0.0, 0.0, 0.0], [0.0, 0.0, 5.0, 16.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 13.0, 13.0, 11.0, 0.0, 0.0, 0.0, 0.0, 13.0, 8.0, 6.0, 16.0, 0.0, 0.0, 0.0, 0.0, 7.0, 14.0, 16.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 7.0, 8.0, 14.0, 7.0, 0.0, 0.0, 0.0, 4.0, 0.0, 0.0, 8.0, 12.0, 0.0, 0.0, 1.0, 15.0, 11.0, 8.0, 13.0, 11.0, 0.0, 0.0, 0.0, 5.0, 11.0, 12.0, 14.0, 3.0, 0.0], [0.0, 0.0, 3.0, 12.0, 11.0, 1.0, 0.0, 0.0, 0.0, 1.0, 14.0, 14.0, 15.0, 8.0, 0.0, 0.0, 0.0, 3.0, 16.0, 2.0, 5.0, 16.0, 1.0, 0.0, 0.0, 4.0, 16.0, 0.0, 0.0, 14.0, 6.0, 0.0, 0.0, 4.0, 16.0, 0.0, 0.0, 11.0, 8.0, 0.0, 0.0, 3.0, 16.0, 2.0, 0.0, 10.0, 8.0, 0.0, 0.0, 0.0, 10.0, 15.0, 13.0, 16.0, 3.0, 0.0, 0.0, 0.0, 1.0, 15.0, 14.0, 6.0, 0.0, 0.0], [0.0, 0.0, 0.0, 5.0, 15.0, 13.0, 1.0, 0.0, 0.0, 0.0, 2.0, 14.0, 16.0, 16.0, 4.0, 0.0, 0.0, 0.0, 8.0, 16.0, 16.0, 16.0, 4.0, 0.0, 0.0, 6.0, 15.0, 16.0, 16.0, 16.0, 1.0, 0.0, 0.0, 3.0, 7.0, 10.0, 16.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 12.0, 16.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 6.0, 14.0, 12.0, 1.0, 0.0], [0.0, 0.0, 9.0, 11.0, 2.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 14.0, 12.0, 0.0, 0.0, 0.0, 0.0, 9.0, 10.0, 5.0, 15.0, 0.0, 0.0, 0.0, 0.0, 5.0, 10.0, 4.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 13.0, 9.0, 2.0, 1.0, 0.0, 0.0, 0.0, 10.0, 16.0, 15.0, 14.0, 15.0, 0.0, 0.0, 0.0, 7.0, 9.0, 9.0, 12.0, 4.0, 0.0], [0.0, 0.0, 3.0, 13.0, 13.0, 1.0, 0.0, 0.0, 0.0, 0.0, 10.0, 15.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 5.0, 3.0, 15.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 15.0, 1.0, 0.0, 0.0, 2.0, 7.0, 0.0, 4.0, 16.0, 8.0, 0.0, 0.0, 5.0, 13.0, 0.0, 0.0, 14.0, 9.0, 0.0, 0.0, 0.0, 14.0, 11.0, 9.0, 16.0, 8.0, 0.0, 0.0, 0.0, 3.0, 12.0, 13.0, 8.0, 0.0, 0.0], [0.0, 0.0, 0.0, 4.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 15.0, 8.0, 0.0, 0.0, 0.0, 1.0, 15.0, 8.0, 14.0, 7.0, 0.0, 0.0, 0.0, 6.0, 16.0, 8.0, 14.0, 14.0, 4.0, 0.0, 0.0, 10.0, 16.0, 16.0, 16.0, 13.0, 1.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 13.0, 2.0, 0.0, 0.0], [0.0, 0.0, 6.0, 8.0, 11.0, 14.0, 14.0, 0.0, 0.0, 1.0, 16.0, 16.0, 13.0, 12.0, 7.0, 0.0, 0.0, 0.0, 16.0, 7.0, 1.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 16.0, 15.0, 1.0, 0.0, 0.0, 0.0, 1.0, 5.0, 6.0, 13.0, 9.0, 0.0, 0.0, 0.0, 0.0, 6.0, 0.0, 12.0, 9.0, 0.0, 0.0, 0.0, 0.0, 12.0, 10.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 10.0, 14.0, 8.0, 0.0, 0.0, 0.0], [0.0, 0.0, 1.0, 11.0, 14.0, 6.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 14.0, 4.0, 0.0, 0.0, 0.0, 0.0, 12.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 16.0, 12.0, 5.0, 0.0, 0.0, 0.0, 7.0, 16.0, 16.0, 16.0, 16.0, 3.0, 0.0, 0.0, 3.0, 15.0, 5.0, 0.0, 15.0, 13.0, 0.0, 0.0, 0.0, 11.0, 16.0, 14.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 12.0, 13.0, 9.0, 1.0, 0.0], [0.0, 0.0, 2.0, 10.0, 10.0, 12.0, 15.0, 10.0, 0.0, 0.0, 9.0, 16.0, 12.0, 8.0, 15.0, 6.0, 0.0, 0.0, 13.0, 9.0, 0.0, 4.0, 12.0, 1.0, 0.0, 1.0, 16.0, 3.0, 1.0, 13.0, 2.0, 0.0, 0.0, 0.0, 5.0, 0.0, 9.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 13.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 2.0, 0.0, 0.0, 0.0], [0.0, 0.0, 1.0, 11.0, 14.0, 5.0, 0.0, 0.0, 0.0, 1.0, 16.0, 14.0, 6.0, 13.0, 1.0, 0.0, 0.0, 9.0, 14.0, 2.0, 0.0, 16.0, 4.0, 0.0, 0.0, 5.0, 13.0, 0.0, 6.0, 16.0, 1.0, 0.0, 0.0, 1.0, 15.0, 16.0, 16.0, 12.0, 0.0, 0.0, 0.0, 0.0, 5.0, 14.0, 3.0, 13.0, 4.0, 0.0, 0.0, 0.0, 3.0, 15.0, 7.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 8.0, 0.0, 0.0], [0.0, 0.0, 3.0, 14.0, 10.0, 3.0, 0.0, 0.0, 0.0, 0.0, 10.0, 14.0, 13.0, 15.0, 1.0, 0.0, 0.0, 0.0, 12.0, 4.0, 4.0, 16.0, 4.0, 0.0, 0.0, 0.0, 6.0, 15.0, 15.0, 16.0, 8.0, 0.0, 0.0, 0.0, 1.0, 8.0, 8.0, 14.0, 8.0, 0.0, 0.0, 0.0, 2.0, 0.0, 0.0, 9.0, 11.0, 0.0, 0.0, 0.0, 16.0, 10.0, 8.0, 12.0, 12.0, 0.0, 0.0, 0.0, 7.0, 12.0, 14.0, 14.0, 6.0, 0.0], [0.0, 0.0, 4.0, 14.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 16.0, 16.0, 10.0, 0.0, 0.0, 0.0, 4.0, 16.0, 4.0, 5.0, 16.0, 6.0, 0.0, 0.0, 8.0, 14.0, 0.0, 1.0, 15.0, 5.0, 0.0, 0.0, 6.0, 16.0, 0.0, 0.0, 13.0, 4.0, 0.0, 0.0, 4.0, 15.0, 1.0, 7.0, 16.0, 1.0, 0.0, 0.0, 2.0, 15.0, 14.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 4.0, 13.0, 9.0, 0.0, 0.0, 0.0], [0.0, 0.0, 5.0, 14.0, 11.0, 1.0, 0.0, 0.0, 0.0, 0.0, 16.0, 10.0, 14.0, 13.0, 0.0, 0.0, 0.0, 0.0, 14.0, 2.0, 8.0, 16.0, 6.0, 0.0, 0.0, 0.0, 12.0, 7.0, 10.0, 16.0, 8.0, 0.0, 0.0, 0.0, 5.0, 16.0, 16.0, 15.0, 8.0, 0.0, 0.0, 1.0, 3.0, 1.0, 2.0, 11.0, 9.0, 0.0, 0.0, 1.0, 15.0, 6.0, 4.0, 12.0, 11.0, 0.0, 0.0, 0.0, 6.0, 16.0, 14.0, 12.0, 3.0, 0.0], [0.0, 1.0, 14.0, 13.0, 12.0, 8.0, 5.0, 0.0, 0.0, 4.0, 16.0, 11.0, 12.0, 15.0, 7.0, 0.0, 0.0, 8.0, 16.0, 16.0, 13.0, 1.0, 0.0, 0.0, 0.0, 3.0, 9.0, 7.0, 15.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 9.0, 0.0, 0.0, 0.0, 0.0, 2.0, 0.0, 6.0, 12.0, 0.0, 0.0, 0.0, 0.0, 16.0, 8.0, 12.0, 11.0, 0.0, 0.0, 0.0, 0.0, 12.0, 14.0, 12.0, 4.0, 0.0, 0.0], [0.0, 1.0, 8.0, 12.0, 16.0, 16.0, 7.0, 0.0, 0.0, 7.0, 16.0, 12.0, 12.0, 12.0, 5.0, 0.0, 0.0, 4.0, 13.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 16.0, 13.0, 0.0, 0.0, 0.0, 0.0, 2.0, 8.0, 6.0, 15.0, 6.0, 0.0, 0.0, 0.0, 0.0, 7.0, 0.0, 9.0, 12.0, 0.0, 0.0, 0.0, 0.0, 16.0, 11.0, 13.0, 12.0, 0.0, 0.0, 0.0, 0.0, 5.0, 13.0, 12.0, 5.0, 0.0, 0.0], [0.0, 0.0, 1.0, 9.0, 14.0, 11.0, 1.0, 0.0, 0.0, 0.0, 10.0, 15.0, 9.0, 13.0, 5.0, 0.0, 0.0, 3.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 16.0, 16.0, 10.0, 0.0, 0.0, 0.0, 7.0, 16.0, 11.0, 10.0, 16.0, 5.0, 0.0, 0.0, 2.0, 16.0, 5.0, 0.0, 12.0, 8.0, 0.0, 0.0, 0.0, 10.0, 15.0, 13.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 9.0, 12.0, 7.0, 0.0, 0.0], [0.0, 0.0, 11.0, 10.0, 12.0, 14.0, 11.0, 0.0, 0.0, 0.0, 16.0, 16.0, 16.0, 16.0, 7.0, 0.0, 0.0, 1.0, 16.0, 16.0, 16.0, 12.0, 0.0, 0.0, 0.0, 1.0, 5.0, 2.0, 11.0, 15.0, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 2.0, 16.0, 0.0, 0.0, 0.0, 3.0, 12.0, 0.0, 3.0, 15.0, 0.0, 0.0, 0.0, 6.0, 15.0, 8.0, 13.0, 11.0, 0.0, 0.0, 0.0, 0.0, 9.0, 14.0, 9.0, 2.0, 0.0, 0.0], [0.0, 0.0, 10.0, 15.0, 6.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 14.0, 16.0, 7.0, 0.0, 0.0, 0.0, 4.0, 16.0, 8.0, 5.0, 16.0, 1.0, 0.0, 0.0, 5.0, 12.0, 0.0, 0.0, 12.0, 8.0, 0.0, 0.0, 8.0, 9.0, 0.0, 0.0, 12.0, 8.0, 0.0, 0.0, 5.0, 12.0, 0.0, 1.0, 15.0, 3.0, 0.0, 0.0, 4.0, 13.0, 4.0, 12.0, 13.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 13.0, 4.0, 0.0, 0.0], [0.0, 0.0, 9.0, 16.0, 11.0, 1.0, 0.0, 0.0, 0.0, 5.0, 16.0, 10.0, 16.0, 9.0, 0.0, 0.0, 0.0, 6.0, 14.0, 1.0, 9.0, 15.0, 0.0, 0.0, 0.0, 1.0, 15.0, 6.0, 11.0, 16.0, 2.0, 0.0, 0.0, 0.0, 7.0, 16.0, 15.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 3.0, 1.0, 11.0, 9.0, 0.0, 0.0, 3.0, 14.0, 9.0, 9.0, 14.0, 12.0, 0.0, 0.0, 0.0, 12.0, 16.0, 16.0, 13.0, 3.0, 0.0], [0.0, 0.0, 4.0, 15.0, 13.0, 3.0, 0.0, 0.0, 0.0, 1.0, 16.0, 13.0, 16.0, 15.0, 1.0, 0.0, 0.0, 6.0, 15.0, 0.0, 4.0, 16.0, 4.0, 0.0, 0.0, 3.0, 15.0, 14.0, 16.0, 14.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 16.0, 11.0, 0.0, 0.0, 0.0, 0.0, 11.0, 12.0, 8.0, 16.0, 5.0, 0.0, 0.0, 0.0, 16.0, 10.0, 12.0, 16.0, 3.0, 0.0, 0.0, 0.0, 7.0, 16.0, 13.0, 7.0, 0.0, 0.0], [0.0, 1.0, 7.0, 12.0, 13.0, 3.0, 0.0, 0.0, 0.0, 7.0, 13.0, 6.0, 15.0, 14.0, 0.0, 0.0, 0.0, 6.0, 10.0, 0.0, 13.0, 16.0, 0.0, 0.0, 0.0, 1.0, 13.0, 13.0, 15.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 4.0, 1.0, 12.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 8.0, 0.0, 0.0, 0.0, 12.0, 13.0, 5.0, 14.0, 8.0, 0.0, 0.0, 0.0, 5.0, 12.0, 16.0, 11.0, 1.0, 0.0], [0.0, 0.0, 5.0, 12.0, 9.0, 1.0, 0.0, 0.0, 0.0, 0.0, 16.0, 9.0, 15.0, 9.0, 0.0, 0.0, 0.0, 2.0, 14.0, 1.0, 10.0, 12.0, 0.0, 0.0, 0.0, 0.0, 9.0, 14.0, 16.0, 11.0, 0.0, 0.0, 0.0, 0.0, 3.0, 15.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 12.0, 10.0, 3.0, 13.0, 1.0, 0.0, 0.0, 0.0, 11.0, 8.0, 5.0, 16.0, 3.0, 0.0, 0.0, 0.0, 4.0, 10.0, 8.0, 3.0, 0.0, 0.0], [0.0, 0.0, 0.0, 5.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 14.0, 12.0, 0.0, 0.0, 0.0, 0.0, 7.0, 13.0, 6.0, 13.0, 0.0, 0.0, 0.0, 2.0, 16.0, 3.0, 10.0, 11.0, 0.0, 0.0, 0.0, 6.0, 16.0, 13.0, 16.0, 16.0, 5.0, 0.0, 0.0, 2.0, 8.0, 9.0, 16.0, 11.0, 2.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 12.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 1.0, 12.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 16.0, 1.0, 0.0, 0.0, 1.0, 7.0, 15.0, 16.0, 14.0, 0.0, 0.0, 0.0, 4.0, 16.0, 16.0, 16.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 15.0, 13.0, 0.0, 0.0], [0.0, 0.0, 1.0, 8.0, 11.0, 13.0, 15.0, 3.0, 0.0, 0.0, 7.0, 16.0, 10.0, 10.0, 16.0, 5.0, 0.0, 1.0, 13.0, 3.0, 0.0, 9.0, 14.0, 0.0, 0.0, 3.0, 15.0, 0.0, 2.0, 15.0, 4.0, 0.0, 0.0, 5.0, 8.0, 0.0, 10.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 15.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 7.0, 0.0, 0.0, 0.0], [0.0, 0.0, 6.0, 12.0, 12.0, 15.0, 16.0, 6.0, 0.0, 2.0, 15.0, 16.0, 14.0, 16.0, 15.0, 3.0, 0.0, 3.0, 16.0, 6.0, 6.0, 16.0, 6.0, 0.0, 0.0, 7.0, 15.0, 4.0, 14.0, 11.0, 0.0, 0.0, 0.0, 1.0, 2.0, 8.0, 15.0, 3.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 3.0, 0.0, 0.0, 0.0], [0.0, 0.0, 6.0, 15.0, 14.0, 2.0, 0.0, 0.0, 0.0, 5.0, 16.0, 11.0, 14.0, 12.0, 0.0, 0.0, 0.0, 5.0, 11.0, 3.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 10.0, 16.0, 3.0, 0.0, 0.0, 1.0, 4.0, 0.0, 0.0, 12.0, 7.0, 0.0, 0.0, 7.0, 16.0, 5.0, 6.0, 16.0, 5.0, 0.0, 0.0, 1.0, 8.0, 15.0, 16.0, 12.0, 1.0, 0.0], [0.0, 0.0, 3.0, 8.0, 9.0, 11.0, 14.0, 1.0, 0.0, 0.0, 9.0, 16.0, 16.0, 16.0, 13.0, 0.0, 0.0, 0.0, 16.0, 5.0, 8.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 16.0, 16.0, 6.0, 0.0, 0.0, 0.0, 2.0, 9.0, 2.0, 9.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 8.0, 0.0, 0.0, 0.0, 0.0, 8.0, 12.0, 13.0, 5.0, 0.0, 0.0, 0.0, 0.0, 5.0, 13.0, 10.0, 1.0, 0.0, 0.0], [0.0, 0.0, 0.0, 5.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 16.0, 8.0, 0.0, 0.0, 0.0, 2.0, 15.0, 16.0, 16.0, 8.0, 0.0, 0.0, 0.0, 4.0, 8.0, 12.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0, 4.0, 15.0, 11.0, 2.0, 0.0], [0.0, 0.0, 2.0, 15.0, 10.0, 1.0, 0.0, 0.0, 0.0, 2.0, 13.0, 12.0, 14.0, 9.0, 0.0, 0.0, 0.0, 6.0, 16.0, 1.0, 1.0, 14.0, 2.0, 0.0, 0.0, 8.0, 16.0, 0.0, 0.0, 10.0, 5.0, 0.0, 0.0, 8.0, 14.0, 2.0, 0.0, 8.0, 8.0, 0.0, 0.0, 6.0, 14.0, 0.0, 0.0, 8.0, 8.0, 0.0, 0.0, 1.0, 14.0, 12.0, 8.0, 15.0, 6.0, 0.0, 0.0, 0.0, 3.0, 13.0, 16.0, 8.0, 1.0, 0.0], [0.0, 0.0, 2.0, 15.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 14.0, 15.0, 8.0, 0.0, 0.0, 0.0, 7.0, 15.0, 3.0, 3.0, 15.0, 0.0, 0.0, 0.0, 6.0, 16.0, 1.0, 0.0, 9.0, 8.0, 0.0, 0.0, 4.0, 12.0, 0.0, 0.0, 8.0, 8.0, 0.0, 0.0, 0.0, 12.0, 3.0, 0.0, 12.0, 7.0, 0.0, 0.0, 0.0, 9.0, 13.0, 13.0, 15.0, 1.0, 0.0, 0.0, 0.0, 1.0, 9.0, 12.0, 5.0, 0.0, 0.0], [0.0, 0.0, 11.0, 15.0, 4.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 15.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 11.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 10.0, 3.0, 0.0, 0.0, 0.0, 11.0, 16.0, 16.0, 16.0, 16.0, 6.0, 0.0, 0.0, 11.0, 16.0, 10.0, 5.0, 13.0, 6.0], [0.0, 0.0, 12.0, 15.0, 3.0, 0.0, 0.0, 0.0, 0.0, 6.0, 15.0, 12.0, 14.0, 0.0, 0.0, 0.0, 0.0, 7.0, 5.0, 1.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 15.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 14.0, 1.0, 0.0, 0.0, 0.0, 0.0, 12.0, 16.0, 12.0, 8.0, 5.0, 0.0, 0.0, 0.0, 9.0, 8.0, 13.0, 15.0, 7.0, 0.0], [0.0, 0.0, 2.0, 12.0, 12.0, 12.0, 9.0, 2.0, 0.0, 0.0, 9.0, 15.0, 12.0, 13.0, 16.0, 5.0, 0.0, 0.0, 12.0, 8.0, 0.0, 8.0, 10.0, 0.0, 0.0, 1.0, 16.0, 3.0, 3.0, 15.0, 2.0, 0.0, 0.0, 1.0, 3.0, 0.0, 12.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 15.0, 3.0, 0.0, 0.0, 0.0], [0.0, 0.0, 3.0, 9.0, 14.0, 7.0, 0.0, 0.0, 0.0, 3.0, 15.0, 11.0, 8.0, 15.0, 2.0, 0.0, 0.0, 4.0, 16.0, 5.0, 2.0, 16.0, 7.0, 0.0, 0.0, 0.0, 4.0, 15.0, 13.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 16.0, 1.0, 0.0, 0.0, 0.0, 2.0, 15.0, 8.0, 16.0, 7.0, 0.0, 0.0, 0.0, 4.0, 16.0, 4.0, 15.0, 7.0, 0.0, 0.0, 0.0, 0.0, 10.0, 15.0, 10.0, 0.0, 0.0], [0.0, 0.0, 7.0, 13.0, 2.0, 0.0, 0.0, 0.0, 0.0, 11.0, 15.0, 12.0, 13.0, 0.0, 0.0, 0.0, 0.0, 12.0, 7.0, 0.0, 16.0, 4.0, 0.0, 0.0, 0.0, 4.0, 4.0, 0.0, 14.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 12.0, 16.0, 16.0, 12.0, 9.0, 0.0, 0.0, 0.0, 9.0, 12.0, 8.0, 10.0, 14.0, 0.0], [0.0, 0.0, 4.0, 15.0, 12.0, 2.0, 0.0, 0.0, 0.0, 2.0, 15.0, 7.0, 11.0, 10.0, 0.0, 0.0, 0.0, 4.0, 16.0, 0.0, 0.0, 15.0, 1.0, 0.0, 0.0, 6.0, 10.0, 0.0, 0.0, 10.0, 8.0, 0.0, 0.0, 8.0, 8.0, 0.0, 0.0, 6.0, 8.0, 0.0, 0.0, 5.0, 12.0, 0.0, 0.0, 11.0, 8.0, 0.0, 0.0, 2.0, 16.0, 7.0, 8.0, 16.0, 2.0, 0.0, 0.0, 0.0, 6.0, 15.0, 16.0, 8.0, 0.0, 0.0], [0.0, 0.0, 7.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 14.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 1.0, 4.0, 14.0, 12.0, 4.0, 1.0, 0.0, 0.0, 7.0, 16.0, 16.0, 16.0, 16.0, 5.0], [0.0, 0.0, 7.0, 15.0, 6.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 9.0, 14.0, 3.0, 0.0, 0.0, 0.0, 2.0, 14.0, 0.0, 13.0, 6.0, 0.0, 0.0, 0.0, 0.0, 2.0, 0.0, 11.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 15.0, 7.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 16.0, 16.0, 15.0, 0.0, 0.0, 0.0, 6.0, 15.0, 7.0, 4.0, 6.0, 1.0], [0.0, 0.0, 0.0, 11.0, 12.0, 1.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 9.0, 4.0, 0.0, 0.0, 0.0, 0.0, 3.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 2.0, 8.0, 2.0, 0.0, 0.0, 0.0, 5.0, 16.0, 16.0, 16.0, 14.0, 2.0, 0.0, 0.0, 2.0, 16.0, 9.0, 3.0, 13.0, 7.0, 0.0, 0.0, 0.0, 11.0, 14.0, 7.0, 16.0, 9.0, 0.0, 0.0, 0.0, 1.0, 10.0, 14.0, 10.0, 2.0, 0.0], [0.0, 0.0, 3.0, 10.0, 13.0, 7.0, 0.0, 0.0, 0.0, 1.0, 14.0, 13.0, 15.0, 14.0, 0.0, 0.0, 0.0, 0.0, 15.0, 5.0, 14.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 14.0, 16.0, 3.0, 0.0, 0.0, 4.0, 5.0, 0.0, 2.0, 16.0, 4.0, 0.0, 0.0, 10.0, 16.0, 10.0, 8.0, 16.0, 3.0, 0.0, 0.0, 0.0, 5.0, 12.0, 14.0, 8.0, 0.0, 0.0], [0.0, 0.0, 3.0, 14.0, 13.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 9.0, 16.0, 2.0, 0.0, 0.0, 0.0, 4.0, 12.0, 3.0, 16.0, 0.0, 0.0, 0.0, 0.0, 2.0, 9.0, 15.0, 16.0, 10.0, 1.0, 0.0, 0.0, 0.0, 0.0, 11.0, 8.0, 16.0, 6.0, 0.0, 0.0, 0.0, 6.0, 0.0, 0.0, 12.0, 8.0, 0.0, 0.0, 0.0, 14.0, 10.0, 5.0, 16.0, 7.0, 0.0, 0.0, 0.0, 3.0, 13.0, 16.0, 11.0, 1.0, 0.0], [0.0, 0.0, 0.0, 10.0, 12.0, 15.0, 16.0, 13.0, 0.0, 0.0, 6.0, 15.0, 6.0, 4.0, 14.0, 9.0, 0.0, 0.0, 10.0, 6.0, 0.0, 3.0, 14.0, 2.0, 0.0, 1.0, 14.0, 1.0, 0.0, 12.0, 6.0, 0.0, 0.0, 0.0, 3.0, 0.0, 5.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 13.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 6.0, 0.0, 0.0, 0.0], [0.0, 0.0, 4.0, 13.0, 14.0, 2.0, 0.0, 0.0, 0.0, 0.0, 15.0, 10.0, 11.0, 10.0, 0.0, 0.0, 0.0, 3.0, 15.0, 2.0, 12.0, 6.0, 0.0, 0.0, 0.0, 0.0, 3.0, 8.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 9.0, 16.0, 2.0, 0.0, 0.0, 0.0, 10.0, 3.0, 0.0, 13.0, 6.0, 0.0, 0.0, 0.0, 16.0, 5.0, 7.0, 16.0, 3.0, 0.0, 0.0, 0.0, 7.0, 13.0, 13.0, 8.0, 0.0, 0.0], [0.0, 0.0, 5.0, 14.0, 9.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 13.0, 16.0, 0.0, 0.0, 0.0, 0.0, 2.0, 13.0, 10.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 2.0, 4.0, 5.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 7.0, 0.0, 0.0, 0.0, 11.0, 8.0, 8.0, 16.0, 4.0, 0.0, 0.0, 0.0, 8.0, 13.0, 15.0, 10.0, 0.0, 0.0], [0.0, 0.0, 0.0, 5.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 15.0, 10.0, 5.0, 0.0, 0.0, 0.0, 0.0, 9.0, 11.0, 10.0, 10.0, 0.0, 0.0, 0.0, 2.0, 15.0, 2.0, 14.0, 6.0, 0.0, 0.0, 0.0, 8.0, 13.0, 5.0, 14.0, 13.0, 4.0, 0.0, 0.0, 11.0, 16.0, 16.0, 16.0, 14.0, 3.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 10.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 12.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 13.0, 1.0, 0.0, 0.0, 0.0, 1.0, 14.0, 15.0, 2.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 15.0, 10.0, 7.0, 0.0, 0.0, 0.0, 7.0, 16.0, 16.0, 12.0, 16.0, 6.0, 0.0, 0.0, 3.0, 16.0, 13.0, 0.0, 16.0, 12.0, 0.0, 0.0, 0.0, 11.0, 16.0, 13.0, 16.0, 12.0, 0.0, 0.0, 0.0, 1.0, 9.0, 13.0, 12.0, 4.0, 0.0], [0.0, 0.0, 2.0, 15.0, 13.0, 3.0, 0.0, 0.0, 0.0, 0.0, 12.0, 16.0, 9.0, 4.0, 0.0, 0.0, 0.0, 3.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 14.0, 12.0, 5.0, 0.0, 0.0, 0.0, 8.0, 16.0, 16.0, 16.0, 16.0, 0.0, 0.0, 0.0, 5.0, 16.0, 15.0, 6.0, 16.0, 9.0, 0.0, 0.0, 1.0, 13.0, 14.0, 13.0, 16.0, 3.0, 0.0, 0.0, 0.0, 3.0, 12.0, 14.0, 10.0, 0.0, 0.0], [0.0, 0.0, 2.0, 12.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 12.0, 4.0, 0.0, 0.0, 0.0, 0.0, 15.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 14.0, 8.0, 8.0, 0.0, 0.0, 0.0, 4.0, 16.0, 16.0, 13.0, 15.0, 8.0, 0.0, 0.0, 4.0, 16.0, 11.0, 1.0, 12.0, 12.0, 0.0, 0.0, 0.0, 11.0, 16.0, 12.0, 14.0, 15.0, 0.0, 0.0, 0.0, 1.0, 8.0, 12.0, 12.0, 6.0, 0.0], [0.0, 0.0, 0.0, 4.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 13.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 12.0, 6.0, 14.0, 4.0, 0.0, 0.0, 0.0, 4.0, 16.0, 9.0, 15.0, 13.0, 3.0, 0.0, 0.0, 4.0, 12.0, 12.0, 16.0, 14.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 3.0, 0.0, 0.0], [0.0, 0.0, 10.0, 16.0, 13.0, 5.0, 0.0, 0.0, 0.0, 7.0, 13.0, 5.0, 14.0, 12.0, 0.0, 0.0, 0.0, 9.0, 10.0, 0.0, 13.0, 14.0, 0.0, 0.0, 0.0, 4.0, 15.0, 13.0, 16.0, 15.0, 3.0, 0.0, 0.0, 0.0, 2.0, 6.0, 3.0, 12.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 8.0, 0.0, 0.0, 0.0, 12.0, 6.0, 5.0, 15.0, 4.0, 0.0, 0.0, 0.0, 9.0, 13.0, 16.0, 8.0, 0.0, 0.0], [0.0, 0.0, 0.0, 2.0, 16.0, 15.0, 3.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 16.0, 4.0, 0.0, 0.0, 0.0, 9.0, 16.0, 16.0, 14.0, 0.0, 0.0, 0.0, 7.0, 16.0, 16.0, 16.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 16.0, 7.0, 0.0], [0.0, 0.0, 4.0, 12.0, 16.0, 16.0, 11.0, 2.0, 0.0, 0.0, 15.0, 13.0, 8.0, 11.0, 8.0, 1.0, 0.0, 2.0, 15.0, 13.0, 16.0, 8.0, 0.0, 0.0, 0.0, 6.0, 16.0, 13.0, 13.0, 16.0, 2.0, 0.0, 0.0, 7.0, 11.0, 2.0, 2.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 15.0, 2.0, 0.0, 0.0, 0.0, 9.0, 6.0, 13.0, 10.0, 0.0, 0.0, 0.0, 0.0, 7.0, 14.0, 13.0, 1.0, 0.0, 0.0], [0.0, 0.0, 3.0, 14.0, 10.0, 1.0, 0.0, 0.0, 0.0, 2.0, 14.0, 12.0, 15.0, 14.0, 1.0, 0.0, 0.0, 6.0, 13.0, 0.0, 3.0, 14.0, 8.0, 0.0, 0.0, 5.0, 12.0, 0.0, 0.0, 11.0, 8.0, 0.0, 0.0, 4.0, 14.0, 0.0, 0.0, 12.0, 7.0, 0.0, 0.0, 1.0, 14.0, 4.0, 3.0, 16.0, 3.0, 0.0, 0.0, 0.0, 8.0, 12.0, 12.0, 12.0, 0.0, 0.0, 0.0, 0.0, 2.0, 15.0, 10.0, 3.0, 0.0, 0.0], [0.0, 0.0, 7.0, 14.0, 10.0, 7.0, 0.0, 0.0, 0.0, 5.0, 16.0, 14.0, 16.0, 14.0, 0.0, 0.0, 0.0, 7.0, 11.0, 0.0, 9.0, 14.0, 1.0, 0.0, 0.0, 4.0, 14.0, 7.0, 11.0, 16.0, 5.0, 0.0, 0.0, 0.0, 9.0, 15.0, 15.0, 12.0, 8.0, 0.0, 0.0, 0.0, 0.0, 1.0, 1.0, 8.0, 9.0, 0.0, 0.0, 0.0, 14.0, 11.0, 10.0, 15.0, 9.0, 0.0, 0.0, 0.0, 9.0, 13.0, 13.0, 9.0, 0.0, 0.0], [0.0, 0.0, 9.0, 13.0, 14.0, 15.0, 13.0, 0.0, 0.0, 0.0, 16.0, 13.0, 12.0, 12.0, 5.0, 0.0, 0.0, 4.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 16.0, 11.0, 1.0, 0.0, 0.0, 0.0, 1.0, 7.0, 8.0, 16.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 13.0, 0.0, 0.0, 0.0, 0.0, 12.0, 8.0, 12.0, 10.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 13.0, 3.0, 0.0, 0.0], [0.0, 0.0, 10.0, 13.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 14.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 4.0, 8.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 16.0, 16.0, 13.0, 11.0, 0.0, 0.0, 0.0, 8.0, 14.0, 8.0, 11.0, 14.0, 1.0], [0.0, 0.0, 1.0, 7.0, 6.0, 11.0, 1.0, 0.0, 0.0, 0.0, 13.0, 11.0, 15.0, 16.0, 7.0, 0.0, 0.0, 0.0, 13.0, 6.0, 11.0, 16.0, 4.0, 0.0, 0.0, 0.0, 3.0, 15.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 4.0, 15.0, 14.0, 7.0, 0.0, 0.0, 0.0, 1.0, 14.0, 3.0, 1.0, 13.0, 0.0, 0.0, 0.0, 2.0, 12.0, 2.0, 3.0, 12.0, 0.0, 0.0, 0.0, 0.0, 1.0, 10.0, 8.0, 1.0, 0.0, 0.0], [0.0, 0.0, 13.0, 14.0, 3.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 15.0, 11.0, 0.0, 0.0, 0.0, 0.0, 7.0, 12.0, 4.0, 16.0, 0.0, 0.0, 0.0, 0.0, 3.0, 6.0, 4.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 14.0, 7.0, 0.0, 0.0, 0.0, 0.0, 1.0, 14.0, 16.0, 10.0, 10.0, 2.0, 0.0, 0.0, 0.0, 11.0, 12.0, 14.0, 14.0, 6.0, 0.0], [0.0, 0.0, 4.0, 15.0, 12.0, 1.0, 0.0, 0.0, 0.0, 0.0, 12.0, 11.0, 13.0, 13.0, 1.0, 0.0, 0.0, 3.0, 12.0, 0.0, 0.0, 14.0, 6.0, 0.0, 0.0, 8.0, 12.0, 0.0, 0.0, 11.0, 8.0, 0.0, 0.0, 8.0, 12.0, 0.0, 0.0, 8.0, 8.0, 0.0, 0.0, 6.0, 13.0, 0.0, 0.0, 11.0, 7.0, 0.0, 0.0, 4.0, 16.0, 7.0, 10.0, 15.0, 2.0, 0.0, 0.0, 0.0, 7.0, 13.0, 12.0, 2.0, 0.0, 0.0], [0.0, 0.0, 3.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 4.0, 15.0, 15.0, 16.0, 7.0, 0.0, 0.0, 0.0, 8.0, 16.0, 3.0, 7.0, 12.0, 0.0, 0.0, 0.0, 6.0, 16.0, 3.0, 0.0, 13.0, 3.0, 0.0, 0.0, 8.0, 10.0, 0.0, 0.0, 12.0, 8.0, 0.0, 0.0, 1.0, 15.0, 2.0, 0.0, 9.0, 11.0, 0.0, 0.0, 0.0, 13.0, 14.0, 10.0, 15.0, 12.0, 0.0, 0.0, 0.0, 3.0, 10.0, 16.0, 14.0, 3.0, 0.0], [0.0, 0.0, 0.0, 5.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 1.0, 13.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 13.0, 16.0, 16.0, 4.0, 0.0, 0.0, 0.0, 5.0, 15.0, 16.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 14.0, 9.0, 0.0, 0.0], [0.0, 0.0, 1.0, 11.0, 12.0, 13.0, 14.0, 5.0, 0.0, 0.0, 7.0, 15.0, 11.0, 10.0, 16.0, 6.0, 0.0, 0.0, 10.0, 7.0, 0.0, 2.0, 16.0, 2.0, 0.0, 1.0, 16.0, 1.0, 0.0, 12.0, 8.0, 0.0, 0.0, 2.0, 11.0, 0.0, 4.0, 14.0, 1.0, 0.0, 0.0, 0.0, 0.0, 1.0, 14.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 7.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 9.0, 14.0, 4.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 12.0, 4.0, 0.0, 0.0, 0.0, 1.0, 16.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 7.0, 3.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 14.0, 16.0, 10.0, 0.0, 0.0, 0.0, 3.0, 16.0, 15.0, 10.0, 16.0, 6.0, 0.0, 0.0, 0.0, 12.0, 16.0, 7.0, 13.0, 9.0, 0.0, 0.0, 0.0, 1.0, 11.0, 16.0, 16.0, 9.0, 0.0], [0.0, 0.0, 7.0, 13.0, 11.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 11.0, 16.0, 0.0, 0.0, 0.0, 0.0, 3.0, 8.0, 5.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 15.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 8.0, 16.0, 5.0, 0.0, 0.0, 6.0, 8.0, 0.0, 0.0, 11.0, 9.0, 0.0, 0.0, 0.0, 16.0, 6.0, 6.0, 14.0, 6.0, 0.0, 0.0, 0.0, 6.0, 15.0, 16.0, 10.0, 0.0, 0.0], [0.0, 0.0, 11.0, 11.0, 2.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 6.0, 12.0, 8.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 6.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 6.0, 3.0, 5.0, 0.0, 0.0, 0.0, 13.0, 16.0, 13.0, 15.0, 9.0, 0.0, 0.0, 1.0, 12.0, 12.0, 12.0, 12.0, 1.0, 0.0], [0.0, 0.0, 0.0, 6.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 16.0, 6.0, 0.0, 0.0, 0.0, 3.0, 16.0, 16.0, 16.0, 4.0, 0.0, 0.0, 0.0, 5.0, 16.0, 16.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 13.0, 11.0, 2.0, 0.0], [0.0, 0.0, 6.0, 15.0, 8.0, 10.0, 12.0, 2.0, 0.0, 0.0, 10.0, 14.0, 10.0, 12.0, 16.0, 1.0, 0.0, 0.0, 9.0, 10.0, 1.0, 13.0, 7.0, 0.0, 0.0, 0.0, 4.0, 4.0, 8.0, 12.0, 1.0, 0.0, 0.0, 0.0, 0.0, 2.0, 15.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 14.0, 0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 0.0, 7.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 15.0, 6.0, 0.0, 0.0, 0.0, 0.0, 1.0, 15.0, 5.0, 14.0, 3.0, 0.0, 0.0, 0.0, 12.0, 8.0, 4.0, 16.0, 0.0, 0.0, 0.0, 5.0, 16.0, 9.0, 10.0, 16.0, 4.0, 0.0, 0.0, 1.0, 11.0, 12.0, 14.0, 14.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 7.0, 0.0, 0.0], [0.0, 0.0, 0.0, 9.0, 14.0, 2.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 16.0, 16.0, 8.0, 0.0, 0.0, 0.0, 4.0, 16.0, 14.0, 8.0, 15.0, 3.0, 0.0, 0.0, 1.0, 15.0, 6.0, 0.0, 11.0, 11.0, 0.0, 0.0, 0.0, 10.0, 15.0, 7.0, 12.0, 16.0, 0.0, 0.0, 0.0, 1.0, 9.0, 15.0, 15.0, 10.0, 0.0], [0.0, 0.0, 6.0, 15.0, 11.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 13.0, 16.0, 0.0, 0.0, 0.0, 0.0, 2.0, 7.0, 13.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 15.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 11.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 7.0, 0.0, 0.0, 0.0, 16.0, 11.0, 10.0, 16.0, 7.0, 0.0, 0.0, 0.0, 5.0, 16.0, 15.0, 9.0, 0.0, 0.0], [0.0, 0.0, 0.0, 0.0, 12.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 16.0, 0.0, 0.0, 0.0, 0.0, 1.0, 13.0, 16.0, 11.0, 0.0, 0.0, 0.0, 3.0, 15.0, 16.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 3.0, 7.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 15.0, 5.0, 0.0], [0.0, 0.0, 9.0, 10.0, 2.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 7.0, 7.0, 4.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 14.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 14.0, 7.0, 0.0, 0.0, 0.0, 11.0, 10.0, 4.0, 11.0, 12.0, 0.0, 0.0, 0.0, 8.0, 14.0, 16.0, 15.0, 6.0, 0.0], [0.0, 0.0, 4.0, 10.0, 13.0, 3.0, 0.0, 0.0, 0.0, 4.0, 16.0, 13.0, 16.0, 8.0, 0.0, 0.0, 0.0, 5.0, 15.0, 0.0, 14.0, 11.0, 0.0, 0.0, 0.0, 3.0, 15.0, 15.0, 16.0, 16.0, 1.0, 0.0, 0.0, 0.0, 5.0, 9.0, 8.0, 14.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 8.0, 0.0, 0.0, 0.0, 9.0, 15.0, 10.0, 14.0, 7.0, 0.0, 0.0, 0.0, 4.0, 12.0, 14.0, 11.0, 2.0, 0.0], [0.0, 0.0, 0.0, 7.0, 16.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 14.0, 16.0, 16.0, 4.0, 0.0, 0.0, 2.0, 13.0, 16.0, 16.0, 12.0, 0.0, 0.0, 0.0, 7.0, 16.0, 16.0, 16.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 12.0, 2.0, 0.0], [0.0, 0.0, 4.0, 6.0, 11.0, 14.0, 6.0, 0.0, 0.0, 4.0, 16.0, 16.0, 12.0, 16.0, 7.0, 0.0, 0.0, 6.0, 16.0, 2.0, 1.0, 16.0, 3.0, 0.0, 0.0, 5.0, 16.0, 0.0, 5.0, 14.0, 0.0, 0.0, 0.0, 0.0, 2.0, 0.0, 11.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 15.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 12.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 6.0, 14.0, 8.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 12.0, 8.0, 0.0, 0.0, 0.0, 3.0, 16.0, 14.0, 3.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 16.0, 16.0, 11.0, 1.0, 0.0, 0.0, 8.0, 16.0, 13.0, 4.0, 14.0, 5.0, 0.0, 0.0, 2.0, 16.0, 9.0, 0.0, 8.0, 12.0, 0.0, 0.0, 0.0, 10.0, 15.0, 6.0, 13.0, 9.0, 0.0, 0.0, 0.0, 0.0, 8.0, 14.0, 16.0, 9.0, 0.0], [0.0, 0.0, 4.0, 6.0, 11.0, 5.0, 0.0, 0.0, 0.0, 2.0, 14.0, 7.0, 2.0, 15.0, 0.0, 0.0, 0.0, 4.0, 8.0, 0.0, 0.0, 10.0, 2.0, 0.0, 0.0, 0.0, 14.0, 8.0, 8.0, 13.0, 1.0, 0.0, 0.0, 0.0, 15.0, 10.0, 16.0, 7.0, 0.0, 0.0, 0.0, 1.0, 10.0, 0.0, 1.0, 10.0, 4.0, 0.0, 0.0, 0.0, 12.0, 2.0, 0.0, 6.0, 8.0, 0.0, 0.0, 0.0, 6.0, 10.0, 11.0, 7.0, 1.0, 0.0], [0.0, 0.0, 0.0, 5.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 14.0, 14.0, 2.0, 0.0, 0.0, 0.0, 0.0, 6.0, 14.0, 11.0, 12.0, 0.0, 0.0, 0.0, 3.0, 15.0, 3.0, 11.0, 10.0, 0.0, 0.0, 0.0, 8.0, 11.0, 0.0, 13.0, 10.0, 2.0, 0.0, 0.0, 10.0, 16.0, 16.0, 16.0, 15.0, 3.0, 0.0, 0.0, 0.0, 4.0, 10.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 9.0, 0.0, 0.0, 0.0], [0.0, 2.0, 13.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 12.0, 12.0, 12.0, 15.0, 0.0, 0.0, 0.0, 0.0, 5.0, 2.0, 7.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 15.0, 15.0, 7.0, 0.0, 0.0, 0.0, 0.0, 4.0, 12.0, 12.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 7.0, 0.0, 0.0, 3.0, 16.0, 8.0, 9.0, 16.0, 6.0, 0.0, 0.0, 1.0, 11.0, 12.0, 14.0, 9.0, 0.0, 0.0], [0.0, 0.0, 0.0, 7.0, 16.0, 12.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 16.0, 12.0, 0.0, 0.0, 0.0, 3.0, 16.0, 16.0, 16.0, 8.0, 0.0, 0.0, 0.0, 7.0, 16.0, 16.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 6.0, 15.0, 15.0, 2.0, 0.0], [0.0, 0.0, 0.0, 7.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 15.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 8.0, 13.0, 15.0, 6.0, 0.0, 0.0, 0.0, 3.0, 16.0, 3.0, 12.0, 7.0, 1.0, 0.0, 0.0, 4.0, 14.0, 9.0, 15.0, 16.0, 8.0, 0.0, 0.0, 4.0, 12.0, 12.0, 16.0, 10.0, 2.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 14.0, 0.0, 0.0, 0.0], [0.0, 0.0, 3.0, 11.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 14.0, 16.0, 2.0, 0.0, 0.0, 0.0, 3.0, 15.0, 1.0, 11.0, 11.0, 0.0, 0.0, 0.0, 4.0, 12.0, 0.0, 2.0, 16.0, 2.0, 0.0, 0.0, 7.0, 12.0, 0.0, 0.0, 12.0, 8.0, 0.0, 0.0, 4.0, 14.0, 0.0, 1.0, 15.0, 8.0, 0.0, 0.0, 2.0, 15.0, 14.0, 15.0, 15.0, 1.0, 0.0, 0.0, 0.0, 5.0, 13.0, 14.0, 5.0, 0.0, 0.0], [0.0, 2.0, 16.0, 12.0, 12.0, 14.0, 7.0, 0.0, 0.0, 3.0, 16.0, 9.0, 8.0, 8.0, 4.0, 0.0, 0.0, 2.0, 16.0, 10.0, 4.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 13.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 3.0, 0.0, 12.0, 10.0, 0.0, 0.0, 0.0, 6.0, 3.0, 0.0, 9.0, 11.0, 0.0, 0.0, 0.0, 11.0, 11.0, 9.0, 16.0, 3.0, 0.0, 0.0, 0.0, 3.0, 12.0, 15.0, 7.0, 0.0, 0.0, 0.0], [0.0, 0.0, 6.0, 14.0, 10.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 14.0, 16.0, 0.0, 0.0, 0.0, 0.0, 5.0, 10.0, 11.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 7.0, 0.0, 0.0, 4.0, 6.0, 0.0, 3.0, 16.0, 8.0, 0.0, 0.0, 5.0, 15.0, 9.0, 16.0, 13.0, 1.0, 0.0, 0.0, 0.0, 9.0, 15.0, 8.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 6.0, 14.0, 1.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 14.0, 1.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 12.0, 10.0, 3.0, 0.0, 0.0, 0.0, 5.0, 16.0, 15.0, 14.0, 16.0, 1.0, 0.0, 0.0, 3.0, 16.0, 12.0, 0.0, 15.0, 8.0, 0.0, 0.0, 0.0, 11.0, 16.0, 9.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 11.0, 15.0, 11.0, 1.0, 0.0], [0.0, 0.0, 6.0, 12.0, 11.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 14.0, 14.0, 11.0, 0.0, 0.0, 0.0, 8.0, 15.0, 1.0, 8.0, 16.0, 0.0, 0.0, 0.0, 3.0, 15.0, 5.0, 11.0, 16.0, 5.0, 0.0, 0.0, 0.0, 11.0, 16.0, 15.0, 14.0, 8.0, 0.0, 0.0, 0.0, 4.0, 2.0, 3.0, 6.0, 12.0, 0.0, 0.0, 2.0, 16.0, 13.0, 10.0, 14.0, 12.0, 0.0, 0.0, 0.0, 8.0, 12.0, 13.0, 13.0, 5.0, 0.0], [0.0, 0.0, 0.0, 11.0, 16.0, 12.0, 1.0, 0.0, 0.0, 0.0, 5.0, 16.0, 10.0, 16.0, 4.0, 0.0, 0.0, 2.0, 15.0, 10.0, 0.0, 8.0, 1.0, 0.0, 0.0, 5.0, 16.0, 9.0, 1.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 10.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 1.0, 8.0, 13.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 4.0, 14.0, 14.0, 4.0, 0.0, 0.0, 0.0, 1.0, 15.0, 16.0, 16.0, 2.0, 0.0, 0.0, 2.0, 13.0, 16.0, 16.0, 16.0, 0.0, 0.0, 0.0, 8.0, 16.0, 16.0, 16.0, 16.0, 0.0, 0.0, 0.0, 2.0, 7.0, 8.0, 16.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 15.0, 4.0, 0.0], [0.0, 0.0, 2.0, 13.0, 16.0, 16.0, 16.0, 12.0, 0.0, 0.0, 9.0, 15.0, 8.0, 9.0, 16.0, 7.0, 0.0, 0.0, 10.0, 10.0, 0.0, 6.0, 14.0, 1.0, 0.0, 1.0, 16.0, 5.0, 1.0, 16.0, 4.0, 0.0, 0.0, 0.0, 4.0, 0.0, 9.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 15.0, 4.0, 0.0, 0.0, 0.0], [0.0, 1.0, 8.0, 8.0, 11.0, 15.0, 10.0, 0.0, 0.0, 4.0, 16.0, 16.0, 11.0, 12.0, 6.0, 0.0, 0.0, 4.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 15.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 10.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 12.0, 0.0, 0.0, 0.0, 6.0, 15.0, 9.0, 13.0, 10.0, 0.0, 0.0, 0.0, 1.0, 13.0, 16.0, 13.0, 4.0, 0.0, 0.0], [0.0, 0.0, 0.0, 2.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 12.0, 15.0, 0.0, 0.0, 0.0, 2.0, 13.0, 8.0, 9.0, 14.0, 0.0, 0.0, 0.0, 9.0, 16.0, 16.0, 16.0, 16.0, 6.0, 0.0, 0.0, 2.0, 4.0, 5.0, 14.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 8.0, 0.0, 0.0], [0.0, 0.0, 0.0, 2.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 15.0, 8.0, 11.0, 0.0, 0.0, 0.0, 0.0, 12.0, 7.0, 12.0, 8.0, 0.0, 0.0, 0.0, 5.0, 16.0, 12.0, 15.0, 14.0, 5.0, 0.0, 0.0, 8.0, 13.0, 9.0, 16.0, 13.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 6.0, 0.0, 0.0], [0.0, 0.0, 2.0, 5.0, 5.0, 11.0, 15.0, 5.0, 0.0, 0.0, 12.0, 16.0, 14.0, 13.0, 16.0, 3.0, 0.0, 1.0, 14.0, 9.0, 0.0, 6.0, 11.0, 0.0, 0.0, 0.0, 16.0, 5.0, 1.0, 13.0, 4.0, 0.0, 0.0, 0.0, 1.0, 0.0, 7.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 12.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 5.0, 0.0, 0.0, 0.0], [0.0, 1.0, 11.0, 13.0, 2.0, 0.0, 0.0, 0.0, 0.0, 8.0, 15.0, 15.0, 6.0, 0.0, 0.0, 0.0, 0.0, 10.0, 9.0, 6.0, 14.0, 0.0, 0.0, 0.0, 0.0, 3.0, 10.0, 4.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 15.0, 3.0, 0.0, 0.0, 0.0, 0.0, 2.0, 13.0, 16.0, 13.0, 11.0, 2.0, 0.0, 0.0, 1.0, 12.0, 12.0, 12.0, 15.0, 11.0, 0.0], [0.0, 0.0, 3.0, 10.0, 14.0, 3.0, 0.0, 0.0, 0.0, 8.0, 16.0, 11.0, 10.0, 13.0, 0.0, 0.0, 0.0, 7.0, 14.0, 0.0, 1.0, 15.0, 2.0, 0.0, 0.0, 2.0, 16.0, 9.0, 16.0, 16.0, 1.0, 0.0, 0.0, 0.0, 12.0, 16.0, 15.0, 15.0, 2.0, 0.0, 0.0, 0.0, 12.0, 10.0, 0.0, 8.0, 8.0, 0.0, 0.0, 0.0, 9.0, 12.0, 4.0, 7.0, 12.0, 0.0, 0.0, 0.0, 2.0, 11.0, 16.0, 16.0, 9.0, 0.0], [0.0, 1.0, 11.0, 12.0, 1.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 12.0, 9.0, 0.0, 0.0, 0.0, 0.0, 7.0, 8.0, 7.0, 12.0, 0.0, 0.0, 0.0, 0.0, 1.0, 1.0, 4.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 9.0, 0.0, 0.0, 0.0, 0.0, 1.0, 14.0, 16.0, 16.0, 15.0, 10.0, 0.0, 0.0, 0.0, 13.0, 11.0, 8.0, 12.0, 8.0, 0.0], [0.0, 0.0, 0.0, 3.0, 15.0, 13.0, 1.0, 0.0, 0.0, 0.0, 2.0, 15.0, 16.0, 16.0, 2.0, 0.0, 0.0, 0.0, 13.0, 10.0, 5.0, 15.0, 0.0, 0.0, 0.0, 0.0, 6.0, 2.0, 11.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 14.0, 2.0, 0.0, 0.0, 0.0, 3.0, 8.0, 16.0, 8.0, 0.0, 0.0, 0.0, 3.0, 16.0, 16.0, 16.0, 16.0, 8.0, 0.0, 0.0, 1.0, 4.0, 4.0, 5.0, 13.0, 6.0, 0.0, 0.0], [0.0, 0.0, 11.0, 15.0, 15.0, 16.0, 9.0, 0.0, 0.0, 4.0, 16.0, 14.0, 8.0, 9.0, 3.0, 0.0, 0.0, 4.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 15.0, 3.0, 0.0, 0.0, 0.0, 0.0, 3.0, 11.0, 11.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 0.0, 0.0, 0.0, 0.0, 2.0, 12.0, 9.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 8.0, 0.0, 0.0, 0.0], [0.0, 0.0, 2.0, 8.0, 8.0, 8.0, 12.0, 2.0, 0.0, 0.0, 12.0, 16.0, 14.0, 14.0, 15.0, 1.0, 0.0, 0.0, 14.0, 9.0, 0.0, 12.0, 6.0, 0.0, 0.0, 0.0, 10.0, 2.0, 8.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 14.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 15.0, 0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 3.0, 10.0, 14.0, 3.0, 0.0, 0.0, 0.0, 4.0, 16.0, 13.0, 15.0, 11.0, 0.0, 0.0, 0.0, 8.0, 13.0, 1.0, 13.0, 16.0, 2.0, 0.0, 0.0, 6.0, 16.0, 14.0, 14.0, 14.0, 6.0, 0.0, 0.0, 0.0, 5.0, 7.0, 1.0, 11.0, 8.0, 0.0, 0.0, 1.0, 8.0, 1.0, 0.0, 8.0, 8.0, 0.0, 0.0, 2.0, 16.0, 11.0, 8.0, 14.0, 7.0, 0.0, 0.0, 0.0, 5.0, 12.0, 14.0, 9.0, 1.0, 0.0], [0.0, 0.0, 3.0, 8.0, 11.0, 13.0, 14.0, 0.0, 0.0, 2.0, 13.0, 16.0, 13.0, 13.0, 13.0, 0.0, 0.0, 1.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 11.0, 10.0, 1.0, 0.0, 0.0, 0.0, 3.0, 16.0, 14.0, 14.0, 10.0, 0.0, 0.0, 0.0, 0.0, 8.0, 3.0, 9.0, 11.0, 0.0, 0.0, 0.0, 0.0, 7.0, 15.0, 14.0, 11.0, 0.0, 0.0, 0.0, 0.0, 2.0, 12.0, 13.0, 2.0, 0.0, 0.0], [0.0, 0.0, 0.0, 0.0, 13.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 13.0, 4.0, 0.0, 0.0, 0.0, 0.0, 6.0, 14.0, 4.0, 16.0, 1.0, 0.0, 0.0, 2.0, 14.0, 3.0, 6.0, 14.0, 0.0, 0.0, 0.0, 6.0, 16.0, 11.0, 12.0, 12.0, 0.0, 0.0, 0.0, 2.0, 7.0, 14.0, 16.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 3.0, 0.0, 0.0], [0.0, 0.0, 6.0, 10.0, 9.0, 4.0, 0.0, 0.0, 0.0, 0.0, 14.0, 10.0, 16.0, 16.0, 1.0, 0.0, 0.0, 4.0, 15.0, 1.0, 9.0, 16.0, 0.0, 0.0, 0.0, 3.0, 16.0, 16.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 12.0, 14.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 12.0, 1.0, 9.0, 12.0, 0.0, 0.0, 0.0, 0.0, 16.0, 6.0, 14.0, 9.0, 0.0, 0.0, 0.0, 0.0, 8.0, 12.0, 6.0, 1.0, 0.0, 0.0], [0.0, 0.0, 5.0, 15.0, 15.0, 7.0, 0.0, 0.0, 0.0, 2.0, 16.0, 11.0, 16.0, 16.0, 8.0, 0.0, 0.0, 2.0, 16.0, 5.0, 4.0, 16.0, 8.0, 0.0, 0.0, 1.0, 12.0, 16.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 15.0, 9.0, 14.0, 10.0, 0.0, 0.0, 0.0, 0.0, 14.0, 12.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 5.0, 14.0, 12.0, 1.0, 0.0, 0.0], [0.0, 0.0, 0.0, 5.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 9.0, 12.0, 16.0, 5.0, 0.0, 0.0, 0.0, 2.0, 16.0, 4.0, 16.0, 7.0, 0.0, 0.0, 0.0, 9.0, 16.0, 14.0, 16.0, 16.0, 3.0, 0.0, 0.0, 3.0, 8.0, 11.0, 16.0, 8.0, 1.0, 0.0, 0.0, 0.0, 0.0, 5.0, 13.0, 0.0, 0.0, 0.0], [0.0, 0.0, 2.0, 10.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 14.0, 9.0, 6.0, 16.0, 16.0, 0.0, 0.0, 0.0, 16.0, 6.0, 5.0, 14.0, 11.0, 0.0, 0.0, 0.0, 5.0, 14.0, 14.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 3.0, 0.0, 0.0, 0.0, 3.0, 1.0, 4.0, 16.0, 3.0, 0.0, 0.0, 2.0, 15.0, 13.0, 11.0, 13.0, 1.0, 0.0, 0.0, 0.0, 3.0, 12.0, 13.0, 4.0, 0.0, 0.0], [0.0, 0.0, 2.0, 12.0, 14.0, 4.0, 0.0, 0.0, 0.0, 0.0, 15.0, 12.0, 11.0, 13.0, 0.0, 0.0, 0.0, 4.0, 16.0, 4.0, 1.0, 14.0, 6.0, 0.0, 0.0, 4.0, 12.0, 0.0, 0.0, 8.0, 8.0, 0.0, 0.0, 6.0, 9.0, 0.0, 0.0, 5.0, 8.0, 0.0, 0.0, 3.0, 12.0, 1.0, 0.0, 12.0, 8.0, 0.0, 0.0, 0.0, 8.0, 12.0, 9.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 10.0, 13.0, 3.0, 0.0, 0.0], [0.0, 0.0, 5.0, 13.0, 13.0, 8.0, 0.0, 0.0, 0.0, 0.0, 16.0, 11.0, 13.0, 16.0, 6.0, 0.0, 0.0, 1.0, 16.0, 5.0, 2.0, 14.0, 9.0, 0.0, 0.0, 0.0, 9.0, 16.0, 16.0, 15.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 14.0, 14.0, 0.0, 0.0, 0.0, 5.0, 15.0, 4.0, 0.0, 16.0, 6.0, 0.0, 0.0, 6.0, 14.0, 7.0, 6.0, 16.0, 4.0, 0.0, 0.0, 0.0, 7.0, 15.0, 16.0, 10.0, 0.0, 0.0], [0.0, 0.0, 5.0, 13.0, 15.0, 6.0, 0.0, 0.0, 0.0, 2.0, 16.0, 9.0, 16.0, 13.0, 0.0, 0.0, 0.0, 4.0, 14.0, 0.0, 10.0, 16.0, 2.0, 0.0, 0.0, 4.0, 15.0, 11.0, 15.0, 16.0, 1.0, 0.0, 0.0, 0.0, 7.0, 10.0, 3.0, 13.0, 8.0, 0.0, 0.0, 0.0, 3.0, 0.0, 0.0, 12.0, 5.0, 0.0, 0.0, 0.0, 13.0, 11.0, 4.0, 16.0, 4.0, 0.0, 0.0, 0.0, 7.0, 14.0, 16.0, 11.0, 1.0, 0.0], [0.0, 0.0, 8.0, 11.0, 8.0, 10.0, 0.0, 0.0, 0.0, 3.0, 15.0, 8.0, 12.0, 16.0, 4.0, 0.0, 0.0, 3.0, 12.0, 0.0, 3.0, 16.0, 2.0, 0.0, 0.0, 0.0, 11.0, 10.0, 15.0, 10.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 7.0, 9.0, 4.0, 16.0, 0.0, 0.0, 0.0, 0.0, 12.0, 11.0, 5.0, 16.0, 0.0, 0.0, 0.0, 0.0, 3.0, 10.0, 9.0, 3.0, 0.0, 0.0], [0.0, 0.0, 6.0, 15.0, 13.0, 2.0, 0.0, 0.0, 0.0, 1.0, 15.0, 10.0, 11.0, 14.0, 0.0, 0.0, 0.0, 2.0, 16.0, 3.0, 1.0, 16.0, 4.0, 0.0, 0.0, 4.0, 12.0, 0.0, 1.0, 14.0, 4.0, 0.0, 0.0, 4.0, 10.0, 0.0, 0.0, 15.0, 3.0, 0.0, 0.0, 4.0, 12.0, 0.0, 0.0, 15.0, 3.0, 0.0, 0.0, 1.0, 13.0, 9.0, 11.0, 16.0, 2.0, 0.0, 0.0, 0.0, 4.0, 12.0, 14.0, 5.0, 0.0, 0.0], [0.0, 0.0, 7.0, 14.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 15.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 13.0, 13.0, 0.0, 0.0, 0.0, 0.0, 6.0, 12.0, 14.0, 16.0, 12.0, 5.0, 0.0, 0.0, 5.0, 16.0, 16.0, 16.0, 16.0, 15.0], [0.0, 0.0, 2.0, 13.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 14.0, 11.0, 9.0, 0.0, 0.0, 0.0, 0.0, 15.0, 7.0, 6.0, 12.0, 0.0, 0.0, 0.0, 0.0, 8.0, 5.0, 9.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 14.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 12.0, 12.0, 4.0, 4.0, 1.0, 0.0, 0.0, 1.0, 15.0, 16.0, 16.0, 16.0, 7.0], [0.0, 0.0, 1.0, 9.0, 15.0, 5.0, 0.0, 0.0, 0.0, 0.0, 14.0, 11.0, 5.0, 11.0, 0.0, 0.0, 0.0, 4.0, 15.0, 1.0, 4.0, 14.0, 0.0, 0.0, 0.0, 0.0, 6.0, 1.0, 13.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 13.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 10.0, 0.0, 0.0, 0.0, 12.0, 9.0, 4.0, 4.0, 15.0, 0.0, 0.0, 0.0, 1.0, 10.0, 16.0, 15.0, 11.0, 1.0], [0.0, 0.0, 1.0, 14.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 14.0, 0.0, 3.0, 0.0, 0.0, 0.0, 1.0, 16.0, 4.0, 10.0, 12.0, 0.0, 0.0, 0.0, 7.0, 14.0, 2.0, 15.0, 5.0, 0.0, 0.0, 0.0, 13.0, 14.0, 11.0, 16.0, 16.0, 9.0, 0.0, 0.0, 8.0, 16.0, 16.0, 14.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 5.0, 0.0, 0.0, 0.0], [0.0, 0.0, 9.0, 14.0, 16.0, 13.0, 2.0, 0.0, 0.0, 0.0, 13.0, 8.0, 2.0, 6.0, 4.0, 0.0, 0.0, 0.0, 16.0, 2.0, 9.0, 8.0, 0.0, 0.0, 0.0, 3.0, 15.0, 15.0, 11.0, 14.0, 4.0, 0.0, 0.0, 5.0, 16.0, 6.0, 0.0, 12.0, 2.0, 0.0, 0.0, 5.0, 7.0, 0.0, 3.0, 13.0, 0.0, 0.0, 0.0, 0.0, 5.0, 7.0, 13.0, 6.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 9.0, 0.0, 0.0, 0.0], [0.0, 0.0, 1.0, 14.0, 15.0, 4.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 10.0, 5.0, 0.0, 0.0, 0.0, 1.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 12.0, 5.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 16.0, 16.0, 8.0, 0.0, 0.0, 0.0, 1.0, 15.0, 7.0, 4.0, 16.0, 4.0, 0.0, 0.0, 0.0, 11.0, 13.0, 4.0, 16.0, 9.0, 0.0, 0.0, 0.0, 1.0, 12.0, 16.0, 16.0, 9.0, 0.0], [0.0, 0.0, 9.0, 15.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 13.0, 9.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 2.0, 6.0, 16.0, 16.0, 12.0, 0.0, 0.0, 0.0, 14.0, 16.0, 14.0, 8.0, 7.0, 0.0, 0.0, 0.0, 3.0, 14.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 11.0, 0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 5.0, 15.0, 13.0, 2.0, 0.0, 0.0, 0.0, 0.0, 12.0, 7.0, 11.0, 6.0, 0.0, 0.0, 0.0, 0.0, 9.0, 12.0, 15.0, 1.0, 0.0, 0.0, 0.0, 1.0, 8.0, 16.0, 4.0, 0.0, 0.0, 0.0, 3.0, 15.0, 8.0, 13.0, 0.0, 0.0, 0.0, 0.0, 7.0, 12.0, 0.0, 10.0, 7.0, 0.0, 0.0, 0.0, 0.0, 12.0, 11.0, 10.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 13.0, 10.0, 0.0, 0.0], [0.0, 0.0, 3.0, 11.0, 15.0, 8.0, 0.0, 0.0, 0.0, 3.0, 14.0, 10.0, 5.0, 15.0, 2.0, 0.0, 0.0, 8.0, 10.0, 0.0, 3.0, 16.0, 4.0, 0.0, 0.0, 8.0, 9.0, 1.0, 10.0, 16.0, 7.0, 0.0, 0.0, 1.0, 15.0, 16.0, 9.0, 9.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 8.0, 0.0, 0.0, 0.0, 4.0, 6.0, 5.0, 13.0, 7.0, 0.0, 0.0, 0.0, 3.0, 16.0, 15.0, 8.0, 1.0, 0.0], [0.0, 0.0, 0.0, 9.0, 14.0, 6.0, 0.0, 0.0, 0.0, 0.0, 10.0, 13.0, 4.0, 13.0, 2.0, 0.0, 0.0, 2.0, 14.0, 0.0, 0.0, 10.0, 6.0, 0.0, 0.0, 4.0, 9.0, 0.0, 0.0, 6.0, 8.0, 0.0, 0.0, 5.0, 8.0, 0.0, 0.0, 8.0, 7.0, 0.0, 0.0, 2.0, 11.0, 1.0, 0.0, 9.0, 5.0, 0.0, 0.0, 0.0, 6.0, 11.0, 4.0, 13.0, 3.0, 0.0, 0.0, 0.0, 1.0, 11.0, 16.0, 12.0, 0.0, 0.0], [0.0, 0.0, 6.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 15.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 10.0, 14.0, 12.0, 5.0, 1.0, 0.0, 0.0, 6.0, 16.0, 16.0, 16.0, 16.0, 12.0], [0.0, 0.0, 5.0, 16.0, 14.0, 2.0, 0.0, 0.0, 0.0, 1.0, 13.0, 14.0, 16.0, 8.0, 0.0, 0.0, 0.0, 9.0, 15.0, 3.0, 16.0, 5.0, 0.0, 0.0, 0.0, 10.0, 13.0, 3.0, 16.0, 3.0, 0.0, 0.0, 0.0, 3.0, 3.0, 11.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 16.0, 16.0, 10.0, 0.0, 0.0, 0.0, 6.0, 16.0, 14.0, 12.0, 9.0, 0.0], [0.0, 0.0, 3.0, 10.0, 15.0, 6.0, 0.0, 0.0, 0.0, 4.0, 16.0, 9.0, 4.0, 16.0, 2.0, 0.0, 0.0, 8.0, 14.0, 0.0, 9.0, 10.0, 0.0, 0.0, 0.0, 1.0, 4.0, 7.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 15.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 14.0, 1.0, 0.0, 0.0, 0.0, 12.0, 8.0, 1.0, 11.0, 7.0, 0.0, 0.0, 0.0, 6.0, 8.0, 16.0, 15.0, 5.0, 0.0], [0.0, 0.0, 3.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 13.0, 2.0, 5.0, 0.0, 0.0, 0.0, 2.0, 16.0, 6.0, 10.0, 15.0, 1.0, 0.0, 0.0, 9.0, 15.0, 3.0, 16.0, 11.0, 7.0, 0.0, 0.0, 12.0, 16.0, 16.0, 15.0, 11.0, 5.0, 0.0, 0.0, 3.0, 9.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 14.0, 0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 13.0, 13.0, 13.0, 12.0, 4.0, 0.0, 0.0, 1.0, 16.0, 5.0, 5.0, 9.0, 4.0, 0.0, 0.0, 4.0, 13.0, 0.0, 2.0, 1.0, 0.0, 0.0, 0.0, 5.0, 14.0, 11.0, 16.0, 13.0, 2.0, 0.0, 0.0, 5.0, 15.0, 6.0, 0.0, 9.0, 8.0, 0.0, 0.0, 0.0, 3.0, 0.0, 0.0, 10.0, 8.0, 0.0, 0.0, 3.0, 14.0, 5.0, 7.0, 15.0, 1.0, 0.0, 0.0, 1.0, 9.0, 14.0, 15.0, 4.0, 0.0, 0.0], [0.0, 0.0, 0.0, 11.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 14.0, 0.0, 3.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 16.0, 13.0, 12.0, 1.0, 0.0, 0.0, 2.0, 15.0, 3.0, 0.0, 8.0, 7.0, 0.0, 0.0, 0.0, 8.0, 8.0, 0.0, 10.0, 7.0, 0.0, 0.0, 0.0, 1.0, 11.0, 12.0, 15.0, 4.0, 0.0], [0.0, 0.0, 5.0, 11.0, 16.0, 16.0, 5.0, 0.0, 0.0, 3.0, 15.0, 11.0, 10.0, 16.0, 4.0, 0.0, 0.0, 0.0, 4.0, 0.0, 10.0, 14.0, 0.0, 0.0, 0.0, 0.0, 7.0, 15.0, 16.0, 16.0, 12.0, 0.0, 0.0, 0.0, 9.0, 16.0, 14.0, 4.0, 1.0, 0.0, 0.0, 0.0, 1.0, 14.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 9.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 4.0, 15.0, 6.0, 15.0, 0.0, 0.0, 0.0, 0.0, 8.0, 11.0, 9.0, 11.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 14.0, 2.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 13.0, 0.0, 0.0, 0.0, 0.0, 6.0, 14.0, 2.0, 12.0, 9.0, 0.0, 0.0, 0.0, 5.0, 16.0, 11.0, 5.0, 13.0, 4.0, 0.0, 0.0, 0.0, 3.0, 8.0, 13.0, 16.0, 9.0, 0.0], [0.0, 0.0, 1.0, 12.0, 16.0, 14.0, 2.0, 0.0, 0.0, 0.0, 13.0, 11.0, 3.0, 16.0, 5.0, 0.0, 0.0, 4.0, 14.0, 0.0, 0.0, 15.0, 6.0, 0.0, 0.0, 6.0, 12.0, 8.0, 13.0, 16.0, 5.0, 0.0, 0.0, 0.0, 9.0, 12.0, 4.0, 10.0, 8.0, 0.0, 0.0, 0.0, 3.0, 0.0, 0.0, 11.0, 5.0, 0.0, 0.0, 0.0, 16.0, 14.0, 5.0, 15.0, 4.0, 0.0, 0.0, 0.0, 3.0, 12.0, 16.0, 11.0, 1.0, 0.0], [0.0, 0.0, 5.0, 15.0, 12.0, 4.0, 0.0, 0.0, 0.0, 2.0, 15.0, 8.0, 11.0, 16.0, 4.0, 0.0, 0.0, 8.0, 9.0, 0.0, 6.0, 16.0, 4.0, 0.0, 0.0, 8.0, 8.0, 0.0, 2.0, 10.0, 8.0, 0.0, 0.0, 8.0, 7.0, 0.0, 0.0, 13.0, 5.0, 0.0, 0.0, 2.0, 14.0, 0.0, 0.0, 16.0, 2.0, 0.0, 0.0, 0.0, 14.0, 8.0, 11.0, 10.0, 0.0, 0.0, 0.0, 0.0, 4.0, 13.0, 14.0, 0.0, 0.0, 0.0], [0.0, 0.0, 8.0, 14.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 12.0, 12.0, 16.0, 16.0, 12.0, 4.0, 0.0, 0.0, 7.0, 16.0, 16.0, 16.0, 12.0, 5.0], [0.0, 0.0, 3.0, 13.0, 15.0, 1.0, 0.0, 0.0, 0.0, 4.0, 15.0, 14.0, 15.0, 10.0, 0.0, 0.0, 0.0, 13.0, 13.0, 2.0, 13.0, 9.0, 0.0, 0.0, 0.0, 14.0, 10.0, 0.0, 15.0, 9.0, 0.0, 0.0, 0.0, 1.0, 1.0, 2.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0, 2.0, 15.0, 16.0, 16.0, 16.0, 6.0, 0.0, 0.0, 2.0, 15.0, 16.0, 10.0, 12.0, 4.0], [0.0, 0.0, 2.0, 11.0, 12.0, 1.0, 0.0, 0.0, 0.0, 2.0, 14.0, 9.0, 9.0, 8.0, 0.0, 0.0, 0.0, 10.0, 12.0, 0.0, 13.0, 6.0, 0.0, 0.0, 0.0, 6.0, 5.0, 2.0, 13.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 10.0, 9.0, 1.0, 0.0, 0.0, 0.0, 6.0, 7.0, 0.0, 12.0, 6.0, 0.0, 0.0, 0.0, 1.0, 12.0, 16.0, 16.0, 5.0, 0.0], [0.0, 0.0, 0.0, 11.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 10.0, 4.0, 10.0, 0.0, 0.0, 0.0, 6.0, 15.0, 2.0, 15.0, 8.0, 0.0, 0.0, 0.0, 10.0, 12.0, 4.0, 16.0, 7.0, 6.0, 0.0, 0.0, 10.0, 16.0, 15.0, 16.0, 14.0, 6.0, 0.0, 0.0, 3.0, 8.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 11.0, 0.0, 0.0, 0.0], [0.0, 1.0, 13.0, 14.0, 16.0, 15.0, 7.0, 0.0, 0.0, 4.0, 15.0, 3.0, 3.0, 4.0, 1.0, 0.0, 0.0, 4.0, 13.0, 5.0, 8.0, 5.0, 0.0, 0.0, 0.0, 6.0, 16.0, 12.0, 8.0, 14.0, 2.0, 0.0, 0.0, 0.0, 4.0, 0.0, 0.0, 12.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 14.0, 2.0, 0.0, 0.0, 2.0, 12.0, 3.0, 11.0, 9.0, 0.0, 0.0, 0.0, 1.0, 11.0, 16.0, 13.0, 1.0, 0.0, 0.0], [0.0, 0.0, 2.0, 15.0, 15.0, 3.0, 0.0, 0.0, 0.0, 0.0, 13.0, 15.0, 8.0, 3.0, 0.0, 0.0, 0.0, 5.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 15.0, 5.0, 4.0, 2.0, 0.0, 0.0, 0.0, 8.0, 16.0, 16.0, 16.0, 14.0, 2.0, 0.0, 0.0, 4.0, 16.0, 7.0, 1.0, 13.0, 8.0, 0.0, 0.0, 0.0, 11.0, 12.0, 1.0, 11.0, 13.0, 0.0, 0.0, 0.0, 1.0, 12.0, 16.0, 16.0, 10.0, 0.0], [0.0, 0.0, 4.0, 16.0, 16.0, 16.0, 12.0, 0.0, 0.0, 0.0, 4.0, 12.0, 11.0, 14.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 9.0, 0.0, 0.0, 0.0, 2.0, 8.0, 10.0, 16.0, 9.0, 0.0, 0.0, 0.0, 7.0, 13.0, 16.0, 14.0, 5.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 9.0, 0.0, 0.0, 0.0], [0.0, 0.0, 2.0, 13.0, 14.0, 6.0, 0.0, 0.0, 0.0, 0.0, 10.0, 13.0, 5.0, 16.0, 0.0, 0.0, 0.0, 0.0, 9.0, 9.0, 4.0, 14.0, 0.0, 0.0, 0.0, 0.0, 4.0, 15.0, 15.0, 5.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 14.0, 1.0, 0.0, 0.0, 0.0, 0.0, 14.0, 6.0, 8.0, 9.0, 0.0, 0.0, 0.0, 0.0, 13.0, 7.0, 1.0, 11.0, 5.0, 0.0, 0.0, 0.0, 3.0, 11.0, 15.0, 16.0, 12.0, 0.0], [0.0, 0.0, 8.0, 12.0, 13.0, 1.0, 0.0, 0.0, 0.0, 5.0, 12.0, 2.0, 6.0, 13.0, 0.0, 0.0, 0.0, 11.0, 5.0, 0.0, 6.0, 12.0, 0.0, 0.0, 0.0, 7.0, 10.0, 4.0, 13.0, 15.0, 0.0, 0.0, 0.0, 1.0, 11.0, 12.0, 7.0, 12.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 9.0, 0.0, 0.0, 0.0, 10.0, 5.0, 0.0, 3.0, 13.0, 0.0, 0.0, 0.0, 6.0, 12.0, 16.0, 13.0, 10.0, 0.0], [0.0, 0.0, 4.0, 15.0, 14.0, 4.0, 0.0, 0.0, 0.0, 1.0, 14.0, 8.0, 10.0, 13.0, 1.0, 0.0, 0.0, 5.0, 13.0, 0.0, 0.0, 16.0, 3.0, 0.0, 0.0, 6.0, 12.0, 0.0, 0.0, 13.0, 3.0, 0.0, 0.0, 7.0, 12.0, 0.0, 0.0, 14.0, 3.0, 0.0, 0.0, 1.0, 16.0, 0.0, 0.0, 14.0, 3.0, 0.0, 0.0, 0.0, 10.0, 11.0, 12.0, 14.0, 0.0, 0.0, 0.0, 0.0, 1.0, 11.0, 12.0, 3.0, 0.0, 0.0], [0.0, 0.0, 2.0, 10.0, 16.0, 11.0, 1.0, 0.0, 0.0, 0.0, 13.0, 13.0, 10.0, 16.0, 8.0, 0.0, 0.0, 4.0, 14.0, 1.0, 8.0, 14.0, 1.0, 0.0, 0.0, 4.0, 15.0, 12.0, 15.0, 8.0, 0.0, 0.0, 0.0, 0.0, 6.0, 7.0, 14.0, 5.0, 0.0, 0.0, 0.0, 1.0, 2.0, 0.0, 12.0, 5.0, 0.0, 0.0, 0.0, 8.0, 15.0, 6.0, 13.0, 4.0, 0.0, 0.0, 0.0, 0.0, 5.0, 11.0, 16.0, 3.0, 0.0, 0.0], [0.0, 0.0, 13.0, 16.0, 16.0, 16.0, 13.0, 0.0, 0.0, 4.0, 16.0, 9.0, 8.0, 5.0, 4.0, 0.0, 0.0, 9.0, 15.0, 7.0, 8.0, 2.0, 0.0, 0.0, 0.0, 11.0, 16.0, 16.0, 14.0, 15.0, 1.0, 0.0, 0.0, 1.0, 3.0, 0.0, 4.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 14.0, 0.0, 0.0, 0.0, 0.0, 11.0, 8.0, 16.0, 6.0, 0.0, 0.0, 0.0, 1.0, 15.0, 16.0, 10.0, 0.0, 0.0, 0.0], [0.0, 0.0, 9.0, 8.0, 12.0, 13.0, 1.0, 0.0, 0.0, 3.0, 15.0, 8.0, 5.0, 4.0, 0.0, 0.0, 0.0, 6.0, 9.0, 2.0, 6.0, 2.0, 0.0, 0.0, 0.0, 6.0, 16.0, 14.0, 9.0, 13.0, 4.0, 0.0, 0.0, 2.0, 7.0, 0.0, 0.0, 7.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 10.0, 0.0, 0.0, 0.0, 8.0, 5.0, 6.0, 14.0, 3.0, 0.0, 0.0, 0.0, 10.0, 14.0, 15.0, 5.0, 0.0, 0.0], [0.0, 0.0, 2.0, 13.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 6.0, 2.0, 0.0, 0.0, 0.0, 2.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 9.0, 1.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 16.0, 13.0, 2.0, 0.0, 0.0, 0.0, 1.0, 16.0, 6.0, 8.0, 14.0, 0.0, 0.0, 0.0, 0.0, 11.0, 10.0, 1.0, 16.0, 5.0, 0.0, 0.0, 0.0, 3.0, 15.0, 16.0, 16.0, 3.0, 0.0], [0.0, 0.0, 8.0, 12.0, 16.0, 16.0, 4.0, 0.0, 0.0, 0.0, 15.0, 6.0, 10.0, 5.0, 0.0, 0.0, 0.0, 4.0, 12.0, 2.0, 8.0, 6.0, 0.0, 0.0, 0.0, 8.0, 14.0, 14.0, 8.0, 13.0, 5.0, 0.0, 0.0, 3.0, 7.0, 0.0, 0.0, 8.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 2.0, 0.0, 0.0, 0.0, 5.0, 2.0, 5.0, 12.0, 0.0, 0.0, 0.0, 0.0, 7.0, 15.0, 15.0, 2.0, 0.0, 0.0], [0.0, 0.0, 2.0, 11.0, 13.0, 5.0, 0.0, 0.0, 0.0, 1.0, 14.0, 9.0, 8.0, 14.0, 0.0, 0.0, 0.0, 6.0, 13.0, 1.0, 2.0, 16.0, 2.0, 0.0, 0.0, 7.0, 7.0, 0.0, 0.0, 12.0, 5.0, 0.0, 0.0, 7.0, 9.0, 0.0, 0.0, 3.0, 9.0, 0.0, 0.0, 2.0, 12.0, 0.0, 0.0, 4.0, 11.0, 0.0, 0.0, 0.0, 12.0, 6.0, 4.0, 14.0, 7.0, 0.0, 0.0, 0.0, 3.0, 13.0, 16.0, 9.0, 0.0, 0.0], [0.0, 0.0, 3.0, 10.0, 15.0, 14.0, 4.0, 0.0, 0.0, 2.0, 14.0, 7.0, 9.0, 16.0, 8.0, 0.0, 0.0, 7.0, 12.0, 3.0, 14.0, 16.0, 0.0, 0.0, 0.0, 2.0, 14.0, 16.0, 13.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 0.0, 0.0, 0.0, 1.0, 3.0, 0.0, 0.0, 14.0, 0.0, 0.0, 0.0, 5.0, 15.0, 8.0, 2.0, 16.0, 0.0, 0.0, 0.0, 0.0, 4.0, 11.0, 16.0, 15.0, 0.0, 0.0], [0.0, 0.0, 0.0, 6.0, 15.0, 11.0, 2.0, 0.0, 0.0, 0.0, 6.0, 13.0, 4.0, 13.0, 5.0, 0.0, 0.0, 0.0, 7.0, 11.0, 0.0, 13.0, 3.0, 0.0, 0.0, 0.0, 2.0, 15.0, 13.0, 7.0, 0.0, 0.0, 0.0, 3.0, 13.0, 12.0, 16.0, 2.0, 0.0, 0.0, 0.0, 8.0, 15.0, 1.0, 9.0, 8.0, 0.0, 0.0, 0.0, 0.0, 7.0, 14.0, 8.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 5.0, 12.0, 16.0, 2.0, 0.0], [0.0, 0.0, 2.0, 10.0, 14.0, 10.0, 0.0, 0.0, 0.0, 1.0, 15.0, 9.0, 9.0, 16.0, 1.0, 0.0, 0.0, 7.0, 9.0, 0.0, 9.0, 12.0, 0.0, 0.0, 0.0, 7.0, 7.0, 3.0, 15.0, 15.0, 0.0, 0.0, 0.0, 2.0, 15.0, 15.0, 7.0, 16.0, 1.0, 0.0, 0.0, 0.0, 1.0, 2.0, 0.0, 9.0, 4.0, 0.0, 0.0, 0.0, 5.0, 13.0, 4.0, 8.0, 9.0, 0.0, 0.0, 0.0, 1.0, 10.0, 15.0, 16.0, 6.0, 0.0], [0.0, 0.0, 0.0, 9.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 3.0, 15.0, 5.0, 16.0, 0.0, 0.0, 0.0, 0.0, 7.0, 12.0, 7.0, 12.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 14.0, 1.0, 0.0, 0.0, 0.0, 3.0, 16.0, 8.0, 9.0, 11.0, 0.0, 0.0, 0.0, 0.0, 12.0, 13.0, 4.0, 12.0, 8.0, 0.0, 0.0, 0.0, 0.0, 8.0, 14.0, 16.0, 14.0, 0.0], [0.0, 0.0, 0.0, 9.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 14.0, 3.0, 2.0, 0.0, 0.0, 0.0, 0.0, 15.0, 2.0, 1.0, 14.0, 3.0, 0.0, 0.0, 5.0, 13.0, 0.0, 13.0, 8.0, 1.0, 0.0, 0.0, 8.0, 13.0, 3.0, 16.0, 14.0, 6.0, 0.0, 0.0, 6.0, 15.0, 16.0, 13.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 7.0, 0.0, 0.0, 0.0], [0.0, 0.0, 5.0, 14.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 3.0, 8.0, 15.0, 13.0, 11.0, 8.0, 0.0, 0.0, 5.0, 16.0, 16.0, 16.0, 16.0, 10.0], [0.0, 0.0, 4.0, 10.0, 15.0, 16.0, 4.0, 0.0, 0.0, 0.0, 13.0, 14.0, 9.0, 16.0, 3.0, 0.0, 0.0, 0.0, 2.0, 1.0, 5.0, 15.0, 0.0, 0.0, 0.0, 0.0, 3.0, 4.0, 13.0, 14.0, 2.0, 0.0, 0.0, 5.0, 16.0, 16.0, 16.0, 16.0, 8.0, 0.0, 0.0, 4.0, 9.0, 12.0, 14.0, 1.0, 0.0, 0.0, 0.0, 0.0, 5.0, 15.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 4.0, 0.0, 0.0, 0.0], [0.0, 0.0, 3.0, 15.0, 16.0, 16.0, 6.0, 0.0, 0.0, 0.0, 3.0, 14.0, 7.0, 15.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 14.0, 0.0, 0.0, 0.0, 0.0, 2.0, 9.0, 15.0, 16.0, 14.0, 0.0, 0.0, 0.0, 7.0, 16.0, 14.0, 6.0, 2.0, 0.0, 0.0, 0.0, 0.0, 8.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 12.0, 0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 1.0, 10.0, 15.0, 10.0, 0.0, 0.0, 0.0, 1.0, 13.0, 11.0, 8.0, 12.0, 0.0, 0.0, 0.0, 2.0, 9.0, 0.0, 13.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 10.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 9.0, 10.0, 0.0, 0.0, 0.0, 13.0, 7.0, 0.0, 2.0, 16.0, 0.0, 0.0, 0.0, 2.0, 11.0, 15.0, 16.0, 12.0, 0.0], [0.0, 0.0, 11.0, 13.0, 12.0, 12.0, 3.0, 0.0, 0.0, 5.0, 14.0, 4.0, 4.0, 7.0, 2.0, 0.0, 0.0, 7.0, 10.0, 1.0, 4.0, 1.0, 0.0, 0.0, 0.0, 8.0, 15.0, 14.0, 12.0, 15.0, 2.0, 0.0, 0.0, 2.0, 7.0, 0.0, 0.0, 12.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 3.0, 0.0, 0.0, 1.0, 8.0, 3.0, 10.0, 12.0, 0.0, 0.0, 0.0, 1.0, 12.0, 16.0, 12.0, 2.0, 0.0, 0.0], [0.0, 0.0, 2.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 16.0, 14.0, 2.0, 0.0, 0.0, 0.0, 0.0, 7.0, 8.0, 14.0, 10.0, 0.0, 0.0, 0.0, 0.0, 12.0, 15.0, 14.0, 16.0, 14.0, 9.0, 0.0, 0.0, 2.0, 10.0, 13.0, 16.0, 10.0, 3.0], [0.0, 0.0, 1.0, 15.0, 11.0, 1.0, 0.0, 0.0, 0.0, 0.0, 9.0, 12.0, 8.0, 12.0, 0.0, 0.0, 0.0, 1.0, 15.0, 1.0, 6.0, 16.0, 2.0, 0.0, 0.0, 2.0, 12.0, 0.0, 1.0, 11.0, 6.0, 0.0, 0.0, 5.0, 10.0, 0.0, 0.0, 11.0, 4.0, 0.0, 0.0, 2.0, 13.0, 0.0, 0.0, 10.0, 3.0, 0.0, 0.0, 0.0, 13.0, 2.0, 3.0, 13.0, 3.0, 0.0, 0.0, 0.0, 1.0, 13.0, 16.0, 15.0, 1.0, 0.0], [0.0, 0.0, 5.0, 16.0, 15.0, 4.0, 0.0, 0.0, 0.0, 3.0, 15.0, 13.0, 13.0, 12.0, 0.0, 0.0, 0.0, 7.0, 14.0, 1.0, 0.0, 16.0, 5.0, 0.0, 0.0, 12.0, 9.0, 0.0, 1.0, 11.0, 10.0, 0.0, 0.0, 10.0, 10.0, 0.0, 0.0, 7.0, 13.0, 0.0, 0.0, 6.0, 15.0, 0.0, 0.0, 8.0, 12.0, 0.0, 0.0, 1.0, 14.0, 7.0, 6.0, 15.0, 11.0, 0.0, 0.0, 0.0, 5.0, 15.0, 16.0, 14.0, 3.0, 0.0], [0.0, 0.0, 3.0, 11.0, 13.0, 1.0, 0.0, 0.0, 0.0, 6.0, 16.0, 11.0, 13.0, 6.0, 0.0, 0.0, 1.0, 16.0, 8.0, 0.0, 11.0, 4.0, 0.0, 0.0, 0.0, 4.0, 4.0, 0.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 9.0, 4.0, 5.0, 0.0, 0.0, 0.0, 1.0, 14.0, 13.0, 12.0, 15.0, 5.0], [0.0, 0.0, 2.0, 14.0, 8.0, 0.0, 0.0, 0.0, 0.0, 3.0, 14.0, 10.0, 16.0, 1.0, 0.0, 0.0, 0.0, 11.0, 8.0, 2.0, 15.0, 0.0, 0.0, 0.0, 0.0, 9.0, 8.0, 1.0, 13.0, 0.0, 0.0, 0.0, 0.0, 1.0, 3.0, 6.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 9.0, 4.0, 7.0, 3.0, 0.0, 0.0, 1.0, 14.0, 16.0, 16.0, 13.0, 8.0], [0.0, 0.0, 9.0, 14.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 10.0, 6.0, 12.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 13.0, 5.0, 0.0, 0.0, 2.0, 12.0, 15.0, 16.0, 15.0, 14.0, 0.0, 0.0, 2.0, 12.0, 16.0, 7.0, 0.0, 1.0, 0.0, 0.0, 0.0, 3.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 11.0, 0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 6.0, 14.0, 4.0, 0.0, 0.0, 0.0, 0.0, 4.0, 13.0, 2.0, 12.0, 0.0, 0.0, 0.0, 0.0, 8.0, 6.0, 0.0, 12.0, 0.0, 0.0, 0.0, 0.0, 2.0, 12.0, 6.0, 14.0, 0.0, 0.0, 0.0, 0.0, 1.0, 12.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 13.0, 11.0, 6.0, 11.0, 0.0, 0.0, 0.0, 0.0, 9.0, 11.0, 2.0, 7.0, 8.0, 0.0, 0.0, 0.0, 0.0, 5.0, 10.0, 15.0, 13.0, 0.0], [0.0, 0.0, 7.0, 13.0, 14.0, 1.0, 0.0, 0.0, 0.0, 7.0, 15.0, 9.0, 13.0, 7.0, 0.0, 0.0, 0.0, 5.0, 15.0, 3.0, 8.0, 8.0, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 12.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 15.0, 5.0, 4.0, 4.0, 0.0, 0.0, 0.0, 6.0, 16.0, 16.0, 13.0, 16.0, 6.0], [0.0, 0.0, 0.0, 7.0, 13.0, 9.0, 1.0, 0.0, 0.0, 0.0, 7.0, 15.0, 8.0, 15.0, 5.0, 0.0, 0.0, 1.0, 15.0, 2.0, 0.0, 10.0, 8.0, 0.0, 0.0, 4.0, 12.0, 0.0, 0.0, 12.0, 7.0, 0.0, 0.0, 5.0, 9.0, 0.0, 0.0, 14.0, 3.0, 0.0, 0.0, 4.0, 14.0, 0.0, 0.0, 11.0, 0.0, 0.0, 0.0, 1.0, 16.0, 8.0, 8.0, 11.0, 0.0, 0.0, 0.0, 0.0, 2.0, 11.0, 14.0, 5.0, 0.0, 0.0], [0.0, 0.0, 10.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 10.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 12.0, 16.0, 12.0, 12.0, 4.0, 0.0, 0.0, 7.0, 16.0, 16.0, 16.0, 16.0, 11.0], [0.0, 0.0, 3.0, 13.0, 7.0, 0.0, 0.0, 0.0, 0.0, 3.0, 15.0, 8.0, 14.0, 0.0, 0.0, 0.0, 0.0, 10.0, 8.0, 1.0, 14.0, 0.0, 0.0, 0.0, 0.0, 8.0, 11.0, 5.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 12.0, 10.0, 7.0, 5.0, 2.0, 0.0, 0.0, 2.0, 14.0, 14.0, 12.0, 14.0, 7.0], [0.0, 0.0, 3.0, 12.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 13.0, 16.0, 12.0, 4.0, 0.0, 0.0, 0.0, 3.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 13.0, 5.0, 4.0, 0.0, 0.0, 0.0, 0.0, 8.0, 14.0, 3.0, 16.0, 2.0, 0.0, 0.0, 0.0, 4.0, 16.0, 4.0, 13.0, 7.0, 0.0, 0.0, 0.0, 0.0, 11.0, 11.0, 11.0, 14.0, 0.0, 0.0, 0.0, 0.0, 3.0, 12.0, 16.0, 15.0, 0.0, 0.0], [0.0, 0.0, 1.0, 9.0, 16.0, 6.0, 0.0, 0.0, 0.0, 4.0, 14.0, 10.0, 11.0, 10.0, 0.0, 0.0, 0.0, 12.0, 10.0, 0.0, 13.0, 6.0, 0.0, 0.0, 0.0, 6.0, 7.0, 4.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 12.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 10.0, 0.0, 0.0, 0.0, 8.0, 13.0, 3.0, 0.0, 14.0, 3.0, 0.0, 0.0, 0.0, 8.0, 16.0, 16.0, 13.0, 3.0], [0.0, 0.0, 4.0, 12.0, 16.0, 14.0, 7.0, 0.0, 0.0, 2.0, 16.0, 6.0, 0.0, 7.0, 12.0, 0.0, 0.0, 0.0, 7.0, 0.0, 3.0, 13.0, 3.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 12.0, 0.0, 0.0, 0.0, 0.0, 2.0, 0.0, 0.0, 13.0, 5.0, 0.0, 0.0, 3.0, 16.0, 7.0, 1.0, 12.0, 4.0, 0.0, 0.0, 0.0, 3.0, 12.0, 16.0, 15.0, 2.0, 0.0], [0.0, 0.0, 3.0, 8.0, 12.0, 15.0, 16.0, 2.0, 0.0, 0.0, 12.0, 14.0, 10.0, 13.0, 15.0, 0.0, 0.0, 0.0, 1.0, 1.0, 2.0, 14.0, 6.0, 0.0, 0.0, 0.0, 2.0, 8.0, 13.0, 16.0, 8.0, 0.0, 0.0, 0.0, 9.0, 16.0, 16.0, 10.0, 5.0, 0.0, 0.0, 0.0, 1.0, 8.0, 12.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 5.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 6.0, 15.0, 12.0, 1.0, 0.0, 0.0, 4.0, 12.0, 16.0, 12.0, 16.0, 3.0, 0.0, 0.0, 15.0, 16.0, 6.0, 4.0, 16.0, 3.0, 0.0, 0.0, 4.0, 5.0, 1.0, 15.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 10.0, 1.0, 0.0, 0.0, 0.0, 3.0, 2.0, 4.0, 15.0, 7.0, 0.0, 0.0, 0.0, 12.0, 15.0, 8.0, 11.0, 14.0, 0.0, 0.0, 0.0, 1.0, 8.0, 15.0, 16.0, 11.0, 0.0], [0.0, 0.0, 0.0, 7.0, 13.0, 10.0, 0.0, 0.0, 0.0, 0.0, 10.0, 13.0, 5.0, 13.0, 0.0, 0.0, 0.0, 7.0, 12.0, 0.0, 8.0, 8.0, 0.0, 0.0, 0.0, 6.0, 6.0, 3.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 13.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 7.0, 0.0, 0.0, 0.0, 5.0, 9.0, 1.0, 2.0, 12.0, 0.0, 0.0, 0.0, 0.0, 9.0, 15.0, 16.0, 9.0, 0.0], [0.0, 0.0, 0.0, 12.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 7.0, 2.0, 14.0, 1.0, 0.0, 0.0, 6.0, 16.0, 2.0, 9.0, 16.0, 11.0, 0.0, 0.0, 9.0, 14.0, 9.0, 16.0, 15.0, 6.0, 0.0, 0.0, 5.0, 16.0, 16.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 2.0, 11.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 13.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 10.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 11.0, 14.0, 5.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 14.0, 11.0, 3.0, 0.0, 0.0, 0.0, 2.0, 14.0, 0.0, 7.0, 13.0, 0.0, 0.0, 0.0, 0.0, 10.0, 9.0, 1.0, 15.0, 2.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 15.0, 1.0, 0.0], [0.0, 0.0, 0.0, 9.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 12.0, 5.0, 0.0, 0.0, 0.0, 2.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 6.0, 2.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 16.0, 16.0, 7.0, 0.0, 0.0, 0.0, 2.0, 16.0, 7.0, 7.0, 16.0, 4.0, 0.0, 0.0, 0.0, 9.0, 13.0, 3.0, 14.0, 9.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 16.0, 7.0, 0.0], [0.0, 0.0, 0.0, 8.0, 15.0, 10.0, 0.0, 0.0, 0.0, 0.0, 8.0, 13.0, 6.0, 1.0, 0.0, 0.0, 0.0, 1.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 12.0, 12.0, 9.0, 2.0, 0.0, 0.0, 1.0, 15.0, 1.0, 0.0, 9.0, 10.0, 0.0, 0.0, 0.0, 10.0, 9.0, 4.0, 13.0, 3.0, 0.0, 0.0, 0.0, 0.0, 11.0, 15.0, 5.0, 0.0, 0.0], [0.0, 0.0, 3.0, 15.0, 6.0, 0.0, 0.0, 0.0, 0.0, 1.0, 14.0, 13.0, 4.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 5.0, 16.0, 7.0, 0.0, 0.0, 0.0, 8.0, 16.0, 8.0, 16.0, 9.0, 5.0, 0.0, 0.0, 10.0, 16.0, 14.0, 16.0, 16.0, 9.0, 0.0, 0.0, 3.0, 11.0, 16.0, 11.0, 2.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 15.0, 4.0, 0.0, 0.0, 0.0], [0.0, 0.0, 1.0, 8.0, 14.0, 15.0, 5.0, 0.0, 0.0, 1.0, 14.0, 8.0, 1.0, 14.0, 8.0, 0.0, 0.0, 7.0, 12.0, 0.0, 7.0, 16.0, 8.0, 0.0, 0.0, 4.0, 14.0, 12.0, 12.0, 9.0, 8.0, 0.0, 0.0, 0.0, 1.0, 3.0, 0.0, 9.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 6.0, 0.0, 0.0, 0.0, 12.0, 10.0, 4.0, 16.0, 0.0, 0.0, 0.0, 0.0, 2.0, 8.0, 16.0, 7.0, 0.0, 0.0], [0.0, 0.0, 3.0, 15.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 2.0, 12.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 15.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 3.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 6.0, 8.0, 12.0, 15.0, 12.0, 10.0, 0.0, 0.0, 2.0, 13.0, 16.0, 16.0, 15.0, 11.0], [0.0, 1.0, 9.0, 12.0, 13.0, 11.0, 0.0, 0.0, 0.0, 3.0, 15.0, 4.0, 3.0, 3.0, 0.0, 0.0, 0.0, 5.0, 12.0, 7.0, 6.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 14.0, 13.0, 7.0, 0.0, 0.0, 0.0, 1.0, 8.0, 0.0, 2.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 14.0, 0.0, 0.0, 0.0, 0.0, 6.0, 2.0, 10.0, 6.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 13.0, 1.0, 0.0, 0.0], [0.0, 0.0, 0.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 16.0, 11.0, 0.0, 0.0, 0.0, 4.0, 16.0, 11.0, 13.0, 14.0, 0.0, 0.0, 0.0, 7.0, 12.0, 1.0, 3.0, 13.0, 0.0, 0.0, 0.0, 4.0, 10.0, 0.0, 0.0, 16.0, 0.0, 0.0, 0.0, 2.0, 14.0, 0.0, 1.0, 16.0, 1.0, 0.0, 0.0, 0.0, 9.0, 7.0, 9.0, 14.0, 0.0, 0.0, 0.0, 0.0, 1.0, 11.0, 15.0, 3.0, 0.0, 0.0], [0.0, 0.0, 6.0, 11.0, 13.0, 6.0, 0.0, 0.0, 0.0, 7.0, 14.0, 6.0, 7.0, 13.0, 0.0, 0.0, 0.0, 10.0, 7.0, 0.0, 7.0, 10.0, 0.0, 0.0, 0.0, 4.0, 13.0, 12.0, 15.0, 10.0, 0.0, 0.0, 0.0, 0.0, 1.0, 4.0, 0.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 1.0, 0.0, 0.0, 0.0, 8.0, 2.0, 0.0, 12.0, 0.0, 0.0, 0.0, 0.0, 6.0, 14.0, 15.0, 12.0, 0.0, 0.0], [0.0, 0.0, 9.0, 16.0, 16.0, 13.0, 2.0, 0.0, 0.0, 2.0, 15.0, 2.0, 3.0, 3.0, 0.0, 0.0, 0.0, 7.0, 9.0, 0.0, 1.0, 4.0, 0.0, 0.0, 0.0, 8.0, 12.0, 7.0, 13.0, 14.0, 7.0, 0.0, 0.0, 6.0, 16.0, 8.0, 0.0, 5.0, 8.0, 0.0, 0.0, 1.0, 3.0, 0.0, 0.0, 9.0, 6.0, 0.0, 0.0, 0.0, 3.0, 4.0, 1.0, 15.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 12.0, 7.0, 0.0, 0.0], [0.0, 0.0, 7.0, 15.0, 13.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 15.0, 16.0, 5.0, 0.0, 0.0, 0.0, 12.0, 16.0, 5.0, 15.0, 6.0, 0.0, 0.0, 0.0, 0.0, 7.0, 2.0, 13.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 1.0, 15.0, 16.0, 12.0, 15.0, 7.0, 0.0, 0.0, 5.0, 16.0, 14.0, 12.0, 12.0, 11.0], [0.0, 0.0, 0.0, 6.0, 14.0, 10.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 7.0, 13.0, 2.0, 0.0, 0.0, 0.0, 4.0, 16.0, 3.0, 14.0, 1.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 5.0, 14.0, 16.0, 6.0, 0.0, 0.0, 0.0, 3.0, 15.0, 4.0, 1.0, 13.0, 4.0, 0.0, 0.0, 2.0, 14.0, 11.0, 5.0, 5.0, 12.0, 0.0, 0.0, 0.0, 0.0, 6.0, 10.0, 15.0, 15.0, 0.0], [0.0, 0.0, 9.0, 15.0, 13.0, 0.0, 0.0, 0.0, 0.0, 5.0, 14.0, 7.0, 13.0, 2.0, 0.0, 0.0, 0.0, 12.0, 10.0, 1.0, 13.0, 0.0, 0.0, 0.0, 0.0, 4.0, 7.0, 6.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 11.0, 0.0, 6.0, 5.0, 0.0, 0.0, 0.0, 11.0, 16.0, 16.0, 16.0, 16.0, 3.0], [0.0, 0.0, 2.0, 11.0, 15.0, 2.0, 0.0, 0.0, 0.0, 0.0, 12.0, 6.0, 11.0, 9.0, 0.0, 0.0, 0.0, 4.0, 11.0, 0.0, 7.0, 16.0, 0.0, 0.0, 0.0, 5.0, 6.0, 0.0, 1.0, 16.0, 6.0, 0.0, 0.0, 5.0, 4.0, 0.0, 0.0, 10.0, 7.0, 0.0, 0.0, 0.0, 10.0, 0.0, 0.0, 10.0, 5.0, 0.0, 0.0, 0.0, 13.0, 2.0, 6.0, 12.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 12.0, 1.0, 0.0, 0.0], [0.0, 0.0, 1.0, 12.0, 14.0, 3.0, 0.0, 0.0, 0.0, 1.0, 13.0, 11.0, 9.0, 13.0, 0.0, 0.0, 0.0, 7.0, 11.0, 0.0, 1.0, 16.0, 4.0, 0.0, 0.0, 8.0, 6.0, 0.0, 2.0, 15.0, 0.0, 0.0, 0.0, 4.0, 12.0, 0.0, 0.0, 15.0, 0.0, 0.0, 0.0, 0.0, 15.0, 1.0, 1.0, 15.0, 0.0, 0.0, 0.0, 0.0, 7.0, 10.0, 7.0, 13.0, 0.0, 0.0, 0.0, 0.0, 1.0, 13.0, 16.0, 7.0, 0.0, 0.0], [0.0, 0.0, 5.0, 13.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 11.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0, 10.0, 13.0, 16.0, 15.0, 16.0, 9.0, 0.0, 0.0, 3.0, 12.0, 16.0, 16.0, 11.0, 2.0], [0.0, 0.0, 6.0, 14.0, 16.0, 13.0, 0.0, 0.0, 0.0, 0.0, 9.0, 9.0, 9.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 9.0, 0.0, 0.0, 0.0, 0.0, 2.0, 10.0, 16.0, 16.0, 12.0, 0.0, 0.0, 0.0, 13.0, 16.0, 12.0, 7.0, 3.0, 0.0, 0.0, 0.0, 3.0, 14.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 13.0, 0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 6.0, 13.0, 8.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 8.0, 4.0, 0.0, 0.0, 0.0, 3.0, 15.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 12.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 13.0, 13.0, 3.0, 0.0, 0.0, 0.0, 2.0, 15.0, 2.0, 5.0, 14.0, 0.0, 0.0, 0.0, 0.0, 9.0, 10.0, 2.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 15.0, 12.0, 0.0, 0.0], [0.0, 0.0, 1.0, 7.0, 12.0, 3.0, 0.0, 0.0, 0.0, 4.0, 16.0, 12.0, 12.0, 10.0, 0.0, 0.0, 0.0, 14.0, 9.0, 0.0, 11.0, 8.0, 0.0, 0.0, 0.0, 7.0, 5.0, 0.0, 15.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 14.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 13.0, 9.0, 0.0, 0.0, 0.0, 5.0, 10.0, 4.0, 0.0, 14.0, 5.0, 0.0, 0.0, 1.0, 9.0, 15.0, 16.0, 16.0, 8.0], [0.0, 0.0, 10.0, 15.0, 2.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 12.0, 13.0, 12.0, 9.0, 0.0, 0.0, 0.0, 0.0, 8.0, 9.0, 13.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 14.0, 4.0, 5.0, 8.0, 3.0, 0.0, 0.0, 8.0, 16.0, 16.0, 16.0, 16.0, 9.0], [0.0, 0.0, 6.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 16.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 15.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 1.0, 2.0, 15.0, 8.0, 0.0, 0.0, 0.0, 0.0, 6.0, 9.0, 14.0, 15.0, 13.0, 7.0, 0.0, 0.0, 5.0, 15.0, 16.0, 16.0, 15.0, 3.0], [0.0, 0.0, 4.0, 13.0, 14.0, 16.0, 3.0, 0.0, 0.0, 0.0, 6.0, 11.0, 10.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 14.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 16.0, 16.0, 12.0, 0.0, 0.0, 0.0, 15.0, 13.0, 16.0, 7.0, 2.0, 0.0, 0.0, 0.0, 0.0, 8.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 14.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 13.0, 1.0, 0.0, 0.0, 0.0], [0.0, 0.0, 2.0, 15.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 14.0, 0.0, 5.0, 0.0, 0.0, 0.0, 0.0, 13.0, 9.0, 9.0, 16.0, 3.0, 0.0, 0.0, 6.0, 15.0, 6.0, 16.0, 3.0, 0.0, 0.0, 0.0, 9.0, 13.0, 12.0, 15.0, 12.0, 8.0, 0.0, 0.0, 9.0, 16.0, 16.0, 14.0, 7.0, 2.0, 0.0, 0.0, 1.0, 7.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 7.0, 0.0, 0.0, 0.0], [0.0, 0.0, 2.0, 13.0, 16.0, 8.0, 0.0, 0.0, 0.0, 1.0, 13.0, 16.0, 10.0, 7.0, 0.0, 0.0, 0.0, 5.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 16.0, 13.0, 1.0, 0.0, 0.0, 0.0, 5.0, 16.0, 6.0, 14.0, 9.0, 0.0, 0.0, 0.0, 0.0, 13.0, 12.0, 14.0, 15.0, 0.0, 0.0, 0.0, 0.0, 3.0, 12.0, 16.0, 11.0, 0.0, 0.0], [0.0, 0.0, 0.0, 6.0, 13.0, 7.0, 0.0, 0.0, 0.0, 0.0, 10.0, 13.0, 6.0, 15.0, 0.0, 0.0, 0.0, 0.0, 12.0, 8.0, 4.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 15.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 15.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 5.0, 15.0, 2.0, 0.0, 0.0, 0.0, 14.0, 10.0, 2.0, 5.0, 11.0, 0.0, 0.0, 0.0, 2.0, 7.0, 13.0, 15.0, 8.0, 0.0], [0.0, 0.0, 2.0, 15.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 15.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 10.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 16.0, 15.0, 9.0, 16.0, 5.0, 0.0, 0.0, 3.0, 15.0, 16.0, 15.0, 7.0, 1.0], [0.0, 0.0, 0.0, 6.0, 15.0, 6.0, 0.0, 0.0, 0.0, 1.0, 11.0, 13.0, 8.0, 11.0, 0.0, 0.0, 0.0, 9.0, 13.0, 0.0, 9.0, 10.0, 0.0, 0.0, 0.0, 8.0, 9.0, 3.0, 15.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 14.0, 3.0, 0.0, 0.0, 0.0, 0.0, 3.0, 0.0, 5.0, 13.0, 2.0, 0.0, 0.0, 0.0, 9.0, 12.0, 5.0, 10.0, 7.0, 0.0, 0.0, 0.0, 0.0, 6.0, 12.0, 15.0, 5.0, 0.0], [0.0, 0.0, 5.0, 11.0, 13.0, 6.0, 0.0, 0.0, 0.0, 4.0, 15.0, 8.0, 7.0, 16.0, 3.0, 0.0, 0.0, 8.0, 7.0, 0.0, 4.0, 16.0, 1.0, 0.0, 0.0, 4.0, 11.0, 1.0, 10.0, 16.0, 4.0, 0.0, 0.0, 2.0, 15.0, 15.0, 8.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 6.0, 0.0, 0.0, 1.0, 16.0, 9.0, 0.0, 12.0, 5.0, 0.0, 0.0, 0.0, 4.0, 11.0, 16.0, 16.0, 2.0, 0.0], [0.0, 0.0, 4.0, 15.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 15.0, 10.0, 0.0, 0.0, 0.0, 0.0, 4.0, 12.0, 14.0, 16.0, 13.0, 13.0, 0.0, 0.0, 2.0, 13.0, 16.0, 16.0, 15.0, 8.0], [0.0, 0.0, 4.0, 15.0, 16.0, 12.0, 0.0, 0.0, 0.0, 0.0, 6.0, 9.0, 12.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 9.0, 0.0, 0.0, 0.0, 0.0, 2.0, 4.0, 15.0, 10.0, 4.0, 0.0, 0.0, 2.0, 15.0, 16.0, 16.0, 15.0, 7.0, 0.0, 0.0, 0.0, 8.0, 13.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 13.0, 0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 11.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 11.0, 2.0, 0.0, 0.0, 0.0, 3.0, 16.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 12.0, 4.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 13.0, 15.0, 11.0, 0.0, 0.0, 0.0, 1.0, 15.0, 8.0, 3.0, 16.0, 5.0, 0.0, 0.0, 0.0, 9.0, 14.0, 5.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 16.0, 10.0, 0.0], [0.0, 0.0, 0.0, 7.0, 13.0, 8.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 8.0, 15.0, 0.0, 0.0, 0.0, 0.0, 4.0, 12.0, 8.0, 11.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 16.0, 2.0, 0.0, 0.0, 0.0, 2.0, 16.0, 7.0, 9.0, 11.0, 0.0, 0.0, 0.0, 0.0, 9.0, 12.0, 1.0, 14.0, 6.0, 0.0, 0.0, 0.0, 0.0, 6.0, 15.0, 15.0, 12.0, 0.0], [0.0, 0.0, 1.0, 14.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 13.0, 3.0, 7.0, 1.0, 0.0, 0.0, 1.0, 16.0, 6.0, 5.0, 16.0, 3.0, 0.0, 0.0, 7.0, 13.0, 0.0, 14.0, 11.0, 3.0, 0.0, 0.0, 12.0, 13.0, 5.0, 16.0, 16.0, 9.0, 0.0, 0.0, 13.0, 16.0, 16.0, 15.0, 6.0, 0.0, 0.0, 0.0, 0.0, 3.0, 12.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 10.0, 0.0, 0.0, 0.0], [0.0, 0.0, 3.0, 11.0, 15.0, 8.0, 0.0, 0.0, 0.0, 4.0, 14.0, 8.0, 13.0, 14.0, 0.0, 0.0, 0.0, 8.0, 11.0, 3.0, 15.0, 6.0, 0.0, 0.0, 0.0, 1.0, 1.0, 9.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 13.0, 7.0, 0.0, 0.0, 0.0, 9.0, 8.0, 2.0, 6.0, 11.0, 0.0, 0.0, 0.0, 4.0, 10.0, 14.0, 16.0, 10.0, 0.0], [0.0, 0.0, 5.0, 16.0, 14.0, 8.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 14.0, 16.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 14.0, 16.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 16.0, 14.0, 3.0, 0.0, 0.0, 0.0, 6.0, 16.0, 16.0, 16.0, 3.0, 0.0], [0.0, 0.0, 0.0, 15.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 15.0, 2.0, 13.0, 5.0, 0.0, 0.0, 0.0, 13.0, 9.0, 2.0, 15.0, 2.0, 0.0, 0.0, 4.0, 14.0, 1.0, 10.0, 12.0, 2.0, 0.0, 0.0, 10.0, 14.0, 8.0, 16.0, 16.0, 10.0, 0.0, 0.0, 10.0, 16.0, 16.0, 15.0, 5.0, 0.0, 0.0, 0.0, 0.0, 2.0, 12.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 5.0, 0.0, 0.0, 0.0], [0.0, 0.0, 4.0, 13.0, 14.0, 8.0, 0.0, 0.0, 0.0, 3.0, 14.0, 3.0, 1.0, 16.0, 3.0, 0.0, 0.0, 7.0, 9.0, 0.0, 0.0, 14.0, 6.0, 0.0, 0.0, 8.0, 4.0, 0.0, 0.0, 16.0, 4.0, 0.0, 0.0, 8.0, 6.0, 0.0, 0.0, 16.0, 0.0, 0.0, 0.0, 3.0, 11.0, 0.0, 1.0, 14.0, 0.0, 0.0, 0.0, 0.0, 12.0, 4.0, 6.0, 11.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 14.0, 1.0, 0.0, 0.0], [0.0, 0.0, 8.0, 12.0, 14.0, 12.0, 3.0, 0.0, 0.0, 0.0, 12.0, 5.0, 0.0, 3.0, 0.0, 0.0, 0.0, 0.0, 16.0, 2.0, 4.0, 1.0, 0.0, 0.0, 0.0, 4.0, 16.0, 14.0, 12.0, 15.0, 4.0, 0.0, 0.0, 0.0, 4.0, 0.0, 0.0, 8.0, 8.0, 0.0, 0.0, 1.0, 0.0, 0.0, 0.0, 11.0, 5.0, 0.0, 0.0, 6.0, 14.0, 1.0, 2.0, 15.0, 1.0, 0.0, 0.0, 0.0, 8.0, 14.0, 16.0, 4.0, 0.0, 0.0], [0.0, 0.0, 2.0, 9.0, 13.0, 8.0, 0.0, 0.0, 0.0, 1.0, 14.0, 11.0, 8.0, 14.0, 0.0, 0.0, 0.0, 9.0, 14.0, 0.0, 14.0, 6.0, 0.0, 0.0, 0.0, 0.0, 2.0, 4.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 12.0, 12.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 9.0, 0.0, 0.0, 0.0, 14.0, 13.0, 4.0, 10.0, 11.0, 0.0, 0.0, 0.0, 3.0, 10.0, 14.0, 15.0, 5.0, 0.0], [0.0, 0.0, 0.0, 13.0, 15.0, 4.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 9.0, 4.0, 0.0, 0.0, 0.0, 1.0, 16.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 16.0, 14.0, 4.0, 0.0, 0.0, 0.0, 2.0, 15.0, 9.0, 7.0, 15.0, 5.0, 0.0, 0.0, 0.0, 11.0, 13.0, 4.0, 12.0, 13.0, 0.0, 0.0, 0.0, 1.0, 13.0, 16.0, 16.0, 10.0, 0.0], [0.0, 0.0, 2.0, 11.0, 13.0, 4.0, 0.0, 0.0, 0.0, 1.0, 13.0, 7.0, 8.0, 15.0, 0.0, 0.0, 0.0, 6.0, 11.0, 0.0, 5.0, 13.0, 0.0, 0.0, 0.0, 9.0, 7.0, 2.0, 14.0, 14.0, 0.0, 0.0, 0.0, 3.0, 14.0, 15.0, 8.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 5.0, 0.0, 0.0, 0.0, 11.0, 7.0, 0.0, 10.0, 7.0, 0.0, 0.0, 0.0, 4.0, 10.0, 15.0, 15.0, 3.0, 0.0], [0.0, 0.0, 0.0, 11.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 10.0, 7.0, 0.0, 0.0, 0.0, 3.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 13.0, 4.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 8.0, 16.0, 7.0, 0.0, 0.0, 0.0, 4.0, 16.0, 3.0, 7.0, 16.0, 2.0, 0.0, 0.0, 0.0, 13.0, 13.0, 8.0, 16.0, 5.0, 0.0, 0.0, 0.0, 1.0, 11.0, 16.0, 16.0, 1.0, 0.0], [0.0, 0.0, 0.0, 13.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 1.0, 15.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 5.0, 15.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 15.0, 1.0, 0.0, 0.0, 0.0, 1.0, 11.0, 9.0, 16.0, 11.0, 2.0, 0.0, 0.0, 0.0, 11.0, 16.0, 16.0, 16.0, 16.0], [0.0, 0.0, 4.0, 13.0, 16.0, 14.0, 0.0, 0.0, 0.0, 0.0, 13.0, 10.0, 11.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 11.0, 0.0, 0.0, 0.0, 0.0, 1.0, 6.0, 14.0, 16.0, 8.0, 0.0, 0.0, 0.0, 11.0, 16.0, 15.0, 8.0, 5.0, 0.0, 0.0, 0.0, 2.0, 11.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 14.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 2.0, 0.0, 0.0, 0.0], [0.0, 0.0, 10.0, 12.0, 13.0, 16.0, 2.0, 0.0, 0.0, 4.0, 15.0, 6.0, 4.0, 4.0, 0.0, 0.0, 0.0, 5.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 16.0, 16.0, 9.0, 0.0, 0.0, 0.0, 2.0, 11.0, 3.0, 3.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 13.0, 0.0, 0.0, 0.0, 0.0, 4.0, 1.0, 9.0, 10.0, 0.0, 0.0, 0.0, 0.0, 16.0, 16.0, 13.0, 1.0, 0.0, 0.0], [0.0, 0.0, 0.0, 12.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 3.0, 9.0, 3.0, 0.0, 0.0, 0.0, 14.0, 7.0, 6.0, 16.0, 2.0, 0.0, 0.0, 3.0, 15.0, 2.0, 10.0, 10.0, 0.0, 0.0, 0.0, 10.0, 9.0, 1.0, 16.0, 12.0, 10.0, 0.0, 0.0, 14.0, 11.0, 14.0, 16.0, 11.0, 1.0, 0.0, 0.0, 9.0, 16.0, 15.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 8.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 10.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 5.0, 3.0, 3.0, 0.0, 0.0, 0.0, 15.0, 7.0, 0.0, 13.0, 11.0, 0.0, 0.0, 7.0, 14.0, 1.0, 7.0, 16.0, 8.0, 0.0, 0.0, 9.0, 13.0, 5.0, 15.0, 13.0, 1.0, 0.0, 0.0, 11.0, 16.0, 16.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 4.0, 9.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 15.0, 0.0, 0.0, 0.0], [0.0, 0.0, 10.0, 16.0, 15.0, 0.0, 0.0, 0.0, 0.0, 4.0, 14.0, 8.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 1.0, 4.0, 16.0, 0.0, 2.0, 0.0, 0.0, 0.0, 3.0, 11.0, 16.0, 16.0, 13.0, 0.0, 0.0, 0.0, 12.0, 16.0, 11.0, 7.0, 2.0, 0.0, 0.0, 0.0, 6.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 11.0, 0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 6.0, 15.0, 9.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 14.0, 16.0, 1.0, 0.0, 0.0, 0.0, 14.0, 12.0, 3.0, 16.0, 4.0, 0.0, 0.0, 0.0, 9.0, 11.0, 3.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 2.0, 9.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 12.0, 9.0, 10.0, 3.0, 0.0, 0.0, 8.0, 16.0, 16.0, 16.0, 16.0, 14.0], [0.0, 0.0, 0.0, 7.0, 12.0, 13.0, 1.0, 0.0, 0.0, 0.0, 8.0, 11.0, 1.0, 10.0, 8.0, 0.0, 0.0, 0.0, 12.0, 2.0, 1.0, 11.0, 7.0, 0.0, 0.0, 0.0, 10.0, 10.0, 14.0, 8.0, 0.0, 0.0, 0.0, 1.0, 7.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 7.0, 14.0, 3.0, 0.0, 0.0, 0.0, 0.0, 7.0, 13.0, 5.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 15.0, 14.0, 2.0, 0.0], [0.0, 0.0, 10.0, 16.0, 16.0, 4.0, 0.0, 0.0, 0.0, 9.0, 16.0, 11.0, 14.0, 8.0, 0.0, 0.0, 0.0, 13.0, 8.0, 0.0, 14.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 14.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 16.0, 9.0, 12.0, 6.0, 0.0, 0.0, 1.0, 14.0, 16.0, 16.0, 16.0, 14.0, 0.0], [0.0, 0.0, 1.0, 13.0, 7.0, 0.0, 0.0, 0.0, 0.0, 1.0, 15.0, 9.0, 15.0, 1.0, 0.0, 0.0, 0.0, 9.0, 11.0, 0.0, 16.0, 0.0, 0.0, 0.0, 0.0, 2.0, 10.0, 3.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 10.0, 4.0, 4.0, 2.0, 0.0, 0.0, 1.0, 15.0, 16.0, 15.0, 13.0, 15.0], [0.0, 0.0, 10.0, 10.0, 14.0, 16.0, 14.0, 0.0, 0.0, 0.0, 14.0, 8.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 0.0, 6.0, 11.0, 5.0, 0.0, 0.0, 3.0, 16.0, 14.0, 10.0, 10.0, 9.0, 0.0, 0.0, 3.0, 14.0, 5.0, 0.0, 9.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 13.0, 0.0, 0.0, 0.0, 0.0, 3.0, 9.0, 13.0, 3.0, 0.0, 0.0, 0.0, 0.0, 8.0, 13.0, 1.0, 0.0, 0.0, 0.0], [0.0, 0.0, 5.0, 9.0, 13.0, 16.0, 6.0, 0.0, 0.0, 0.0, 12.0, 12.0, 7.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 3.0, 0.0, 0.0, 0.0, 3.0, 12.0, 15.0, 16.0, 14.0, 0.0, 0.0, 0.0, 7.0, 16.0, 15.0, 5.0, 1.0, 0.0, 0.0, 0.0, 0.0, 10.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 15.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 14.0, 0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 4.0, 13.0, 12.0, 6.0, 0.0, 0.0, 0.0, 4.0, 15.0, 5.0, 10.0, 16.0, 0.0, 0.0, 0.0, 4.0, 16.0, 1.0, 11.0, 16.0, 0.0, 0.0, 0.0, 1.0, 10.0, 16.0, 13.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 4.0, 0.0, 15.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 4.0, 0.0, 0.0, 0.0, 6.0, 6.0, 0.0, 9.0, 8.0, 0.0, 0.0, 0.0, 5.0, 12.0, 15.0, 16.0, 7.0, 0.0], [0.0, 3.0, 12.0, 12.0, 14.0, 15.0, 3.0, 0.0, 0.0, 4.0, 15.0, 4.0, 4.0, 4.0, 0.0, 0.0, 0.0, 5.0, 12.0, 0.0, 0.0, 2.0, 0.0, 0.0, 0.0, 5.0, 15.0, 12.0, 15.0, 15.0, 5.0, 0.0, 0.0, 5.0, 12.0, 6.0, 0.0, 8.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 7.0, 0.0, 0.0, 1.0, 9.0, 0.0, 7.0, 14.0, 1.0, 0.0, 0.0, 2.0, 15.0, 16.0, 14.0, 3.0, 0.0, 0.0], [0.0, 0.0, 3.0, 15.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 12.0, 1.0, 7.0, 0.0, 0.0, 0.0, 2.0, 16.0, 4.0, 9.0, 13.0, 0.0, 0.0, 0.0, 8.0, 11.0, 6.0, 16.0, 1.0, 2.0, 0.0, 0.0, 12.0, 10.0, 12.0, 14.0, 12.0, 11.0, 0.0, 0.0, 11.0, 16.0, 16.0, 14.0, 7.0, 1.0, 0.0, 0.0, 1.0, 7.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 1.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 3.0, 14.0, 13.0, 3.0, 0.0, 0.0, 0.0, 0.0, 12.0, 9.0, 8.0, 8.0, 0.0, 0.0, 0.0, 0.0, 12.0, 8.0, 11.0, 6.0, 0.0, 0.0, 0.0, 0.0, 7.0, 14.0, 11.0, 1.0, 0.0, 0.0, 1.0, 8.0, 12.0, 15.0, 5.0, 0.0, 0.0, 0.0, 6.0, 14.0, 0.0, 4.0, 12.0, 0.0, 0.0, 0.0, 0.0, 7.0, 12.0, 1.0, 15.0, 2.0, 0.0, 0.0, 0.0, 0.0, 3.0, 13.0, 15.0, 2.0, 0.0], [0.0, 0.0, 0.0, 3.0, 12.0, 10.0, 0.0, 0.0, 0.0, 0.0, 1.0, 14.0, 6.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 6.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 3.0, 14.0, 15.0, 3.0, 0.0, 0.0, 0.0, 1.0, 16.0, 4.0, 9.0, 9.0, 0.0, 0.0, 0.0, 0.0, 4.0, 13.0, 4.0, 7.0, 8.0, 0.0, 0.0, 0.0, 0.0, 3.0, 10.0, 11.0, 15.0, 2.0], [0.0, 0.0, 3.0, 15.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 13.0, 1.0, 6.0, 9.0, 0.0, 0.0, 3.0, 16.0, 3.0, 6.0, 15.0, 5.0, 0.0, 0.0, 7.0, 15.0, 1.0, 14.0, 9.0, 5.0, 0.0, 0.0, 10.0, 13.0, 9.0, 16.0, 15.0, 7.0, 0.0, 0.0, 7.0, 16.0, 16.0, 11.0, 4.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 3.0, 0.0, 0.0, 0.0], [0.0, 0.0, 5.0, 14.0, 14.0, 8.0, 2.0, 0.0, 0.0, 3.0, 15.0, 3.0, 0.0, 13.0, 8.0, 0.0, 0.0, 5.0, 12.0, 0.0, 2.0, 15.0, 8.0, 0.0, 0.0, 2.0, 15.0, 9.0, 14.0, 14.0, 8.0, 0.0, 0.0, 0.0, 1.0, 3.0, 0.0, 12.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 4.0, 0.0, 0.0, 6.0, 15.0, 2.0, 0.0, 14.0, 1.0, 0.0, 0.0, 1.0, 7.0, 14.0, 12.0, 9.0, 0.0, 0.0], [0.0, 0.0, 4.0, 14.0, 14.0, 4.0, 0.0, 0.0, 0.0, 0.0, 15.0, 10.0, 10.0, 13.0, 0.0, 0.0, 0.0, 5.0, 15.0, 0.0, 2.0, 15.0, 6.0, 0.0, 0.0, 4.0, 13.0, 0.0, 0.0, 14.0, 8.0, 0.0, 0.0, 6.0, 9.0, 0.0, 0.0, 12.0, 7.0, 0.0, 0.0, 3.0, 14.0, 1.0, 0.0, 12.0, 5.0, 0.0, 0.0, 0.0, 12.0, 9.0, 6.0, 15.0, 2.0, 0.0, 0.0, 0.0, 3.0, 14.0, 14.0, 6.0, 0.0, 0.0], [0.0, 0.0, 0.0, 2.0, 13.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 10.0, 16.0, 0.0, 0.0, 0.0, 0.0, 7.0, 13.0, 8.0, 11.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 16.0, 4.0, 0.0, 0.0, 0.0, 2.0, 14.0, 9.0, 7.0, 13.0, 1.0, 0.0, 0.0, 1.0, 11.0, 8.0, 3.0, 9.0, 8.0, 0.0, 0.0, 0.0, 0.0, 5.0, 10.0, 15.0, 16.0, 0.0], [0.0, 0.0, 3.0, 13.0, 14.0, 4.0, 0.0, 0.0, 0.0, 0.0, 13.0, 12.0, 14.0, 16.0, 0.0, 0.0, 0.0, 1.0, 16.0, 3.0, 14.0, 16.0, 4.0, 0.0, 0.0, 1.0, 14.0, 9.0, 16.0, 16.0, 6.0, 0.0, 0.0, 0.0, 2.0, 8.0, 4.0, 11.0, 9.0, 0.0, 0.0, 0.0, 2.0, 2.0, 0.0, 12.0, 10.0, 0.0, 0.0, 0.0, 14.0, 14.0, 4.0, 11.0, 9.0, 0.0, 0.0, 0.0, 4.0, 8.0, 11.0, 16.0, 9.0, 0.0], [0.0, 0.0, 0.0, 4.0, 12.0, 15.0, 4.0, 0.0, 0.0, 0.0, 3.0, 14.0, 4.0, 10.0, 8.0, 0.0, 0.0, 0.0, 4.0, 12.0, 5.0, 14.0, 2.0, 0.0, 0.0, 0.0, 4.0, 16.0, 14.0, 3.0, 0.0, 0.0, 0.0, 1.0, 12.0, 15.0, 13.0, 0.0, 0.0, 0.0, 0.0, 6.0, 13.0, 1.0, 12.0, 6.0, 0.0, 0.0, 0.0, 0.0, 10.0, 13.0, 5.0, 14.0, 1.0, 0.0, 0.0, 0.0, 0.0, 4.0, 10.0, 16.0, 8.0, 0.0], [0.0, 0.0, 7.0, 16.0, 15.0, 4.0, 0.0, 0.0, 0.0, 0.0, 14.0, 16.0, 9.0, 15.0, 2.0, 0.0, 0.0, 1.0, 15.0, 12.0, 1.0, 9.0, 8.0, 0.0, 0.0, 4.0, 16.0, 0.0, 0.0, 7.0, 10.0, 0.0, 0.0, 7.0, 13.0, 0.0, 0.0, 10.0, 11.0, 0.0, 0.0, 7.0, 12.0, 0.0, 2.0, 15.0, 6.0, 0.0, 0.0, 3.0, 15.0, 12.0, 14.0, 14.0, 1.0, 0.0, 0.0, 0.0, 10.0, 16.0, 14.0, 4.0, 0.0, 0.0], [0.0, 0.0, 5.0, 10.0, 8.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 16.0, 15.0, 2.0, 0.0, 0.0, 0.0, 7.0, 16.0, 16.0, 13.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 11.0, 9.0, 0.0, 0.0, 0.0], [0.0, 2.0, 11.0, 16.0, 15.0, 2.0, 0.0, 0.0, 0.0, 12.0, 16.0, 15.0, 16.0, 4.0, 0.0, 0.0, 0.0, 2.0, 3.0, 2.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 12.0, 3.0, 11.0, 9.0, 0.0, 0.0, 0.0, 16.0, 16.0, 16.0, 16.0, 6.0, 0.0, 0.0, 0.0, 14.0, 15.0, 12.0, 5.0, 0.0, 0.0], [0.0, 0.0, 3.0, 12.0, 16.0, 14.0, 0.0, 0.0, 0.0, 3.0, 15.0, 16.0, 15.0, 14.0, 0.0, 0.0, 0.0, 3.0, 12.0, 1.0, 15.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 2.0, 5.0, 13.0, 8.0, 0.0, 0.0, 0.0, 2.0, 11.0, 11.0, 15.0, 5.0, 0.0, 0.0, 0.0, 3.0, 16.0, 16.0, 9.0, 0.0, 0.0], [0.0, 0.0, 0.0, 0.0, 15.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 8.0, 15.0, 14.0, 4.0, 0.0, 0.0, 0.0, 6.0, 15.0, 2.0, 15.0, 2.0, 1.0, 0.0, 0.0, 9.0, 16.0, 16.0, 16.0, 16.0, 11.0, 0.0, 0.0, 5.0, 10.0, 12.0, 16.0, 8.0, 1.0, 0.0, 0.0, 0.0, 0.0, 1.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 15.0, 0.0, 0.0, 0.0], [0.0, 0.0, 6.0, 13.0, 15.0, 16.0, 11.0, 0.0, 0.0, 0.0, 10.0, 11.0, 8.0, 8.0, 5.0, 0.0, 0.0, 2.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 11.0, 7.0, 8.0, 5.0, 0.0, 0.0, 0.0, 7.0, 16.0, 14.0, 10.0, 14.0, 2.0, 0.0, 0.0, 1.0, 7.0, 1.0, 2.0, 12.0, 3.0, 0.0, 0.0, 0.0, 5.0, 8.0, 14.0, 6.0, 0.0, 0.0, 0.0, 0.0, 8.0, 12.0, 5.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 13.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 13.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 12.0, 6.0, 11.0, 9.0, 3.0, 0.0, 0.0, 1.0, 15.0, 16.0, 12.0, 8.0, 11.0, 0.0, 0.0, 0.0, 9.0, 13.0, 2.0, 6.0, 16.0, 2.0, 0.0, 0.0, 0.0, 11.0, 16.0, 14.0, 7.0, 0.0], [0.0, 0.0, 4.0, 10.0, 16.0, 16.0, 7.0, 0.0, 0.0, 3.0, 16.0, 13.0, 11.0, 16.0, 2.0, 0.0, 0.0, 1.0, 3.0, 0.0, 10.0, 9.0, 0.0, 0.0, 0.0, 0.0, 5.0, 8.0, 14.0, 15.0, 13.0, 0.0, 0.0, 0.0, 15.0, 16.0, 14.0, 12.0, 8.0, 0.0, 0.0, 0.0, 3.0, 12.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 14.0, 1.0, 0.0, 0.0, 0.0], [0.0, 0.0, 4.0, 11.0, 15.0, 2.0, 0.0, 0.0, 0.0, 2.0, 16.0, 9.0, 8.0, 9.0, 0.0, 0.0, 0.0, 4.0, 15.0, 0.0, 5.0, 16.0, 3.0, 0.0, 0.0, 0.0, 11.0, 11.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0, 13.0, 9.0, 6.0, 12.0, 1.0, 0.0, 0.0, 0.0, 15.0, 3.0, 0.0, 9.0, 5.0, 0.0, 0.0, 0.0, 5.0, 13.0, 13.0, 12.0, 5.0, 0.0], [0.0, 0.0, 0.0, 3.0, 13.0, 16.0, 11.0, 0.0, 0.0, 0.0, 4.0, 15.0, 11.0, 8.0, 16.0, 3.0, 0.0, 2.0, 15.0, 9.0, 6.0, 13.0, 15.0, 3.0, 0.0, 4.0, 16.0, 16.0, 16.0, 16.0, 11.0, 0.0, 0.0, 0.0, 7.0, 8.0, 6.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 4.0, 0.0, 0.0], [0.0, 0.0, 7.0, 8.0, 12.0, 6.0, 0.0, 0.0, 0.0, 1.0, 14.0, 11.0, 12.0, 15.0, 0.0, 0.0, 0.0, 3.0, 15.0, 0.0, 0.0, 10.0, 5.0, 0.0, 0.0, 4.0, 9.0, 0.0, 0.0, 8.0, 4.0, 0.0, 0.0, 8.0, 8.0, 0.0, 0.0, 13.0, 0.0, 0.0, 0.0, 7.0, 9.0, 0.0, 9.0, 11.0, 0.0, 0.0, 0.0, 2.0, 14.0, 10.0, 14.0, 5.0, 0.0, 0.0, 0.0, 0.0, 9.0, 15.0, 6.0, 0.0, 0.0, 0.0], [0.0, 0.0, 7.0, 16.0, 13.0, 5.0, 0.0, 0.0, 0.0, 0.0, 13.0, 16.0, 16.0, 5.0, 0.0, 0.0, 0.0, 1.0, 16.0, 16.0, 16.0, 3.0, 0.0, 0.0, 0.0, 1.0, 14.0, 16.0, 15.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 16.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0, 14.0, 16.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 4.0, 14.0, 13.0, 6.0, 0.0, 0.0], [0.0, 0.0, 6.0, 15.0, 15.0, 1.0, 0.0, 0.0, 0.0, 4.0, 16.0, 13.0, 16.0, 4.0, 0.0, 0.0, 0.0, 10.0, 11.0, 2.0, 16.0, 2.0, 0.0, 0.0, 0.0, 1.0, 1.0, 10.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 14.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 14.0, 1.0, 12.0, 9.0, 0.0, 0.0, 0.0, 11.0, 15.0, 14.0, 16.0, 9.0, 0.0, 0.0, 0.0, 8.0, 16.0, 12.0, 5.0, 0.0, 0.0], [0.0, 0.0, 4.0, 14.0, 16.0, 5.0, 0.0, 0.0, 0.0, 4.0, 16.0, 16.0, 16.0, 8.0, 0.0, 0.0, 0.0, 12.0, 12.0, 0.0, 15.0, 8.0, 0.0, 0.0, 0.0, 2.0, 1.0, 5.0, 16.0, 13.0, 1.0, 0.0, 0.0, 0.0, 0.0, 1.0, 11.0, 15.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 12.0, 0.0, 0.0, 0.0, 2.0, 13.0, 12.0, 16.0, 7.0, 0.0, 0.0, 0.0, 3.0, 16.0, 15.0, 8.0, 0.0, 0.0], [0.0, 0.0, 0.0, 1.0, 15.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 16.0, 3.0, 0.0, 0.0, 0.0, 5.0, 16.0, 8.0, 16.0, 8.0, 3.0, 0.0, 0.0, 11.0, 16.0, 12.0, 16.0, 16.0, 12.0, 0.0, 0.0, 11.0, 16.0, 15.0, 16.0, 7.0, 2.0, 0.0, 0.0, 1.0, 4.0, 2.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 14.0, 0.0, 0.0, 0.0], [0.0, 1.0, 10.0, 12.0, 15.0, 11.0, 0.0, 0.0, 0.0, 8.0, 16.0, 13.0, 9.0, 4.0, 0.0, 0.0, 0.0, 5.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 14.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 4.0, 13.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 11.0, 11.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 14.0, 2.0, 0.0, 0.0], [0.0, 0.0, 1.0, 12.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 15.0, 2.0, 14.0, 13.0, 4.0, 0.0, 0.0, 2.0, 15.0, 16.0, 10.0, 5.0, 14.0, 0.0, 0.0, 0.0, 9.0, 13.0, 4.0, 9.0, 14.0, 0.0, 0.0, 0.0, 0.0, 10.0, 13.0, 12.0, 3.0, 0.0], [0.0, 0.0, 2.0, 11.0, 16.0, 16.0, 16.0, 4.0, 0.0, 0.0, 5.0, 11.0, 8.0, 8.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 6.0, 0.0, 0.0, 0.0, 2.0, 10.0, 13.0, 16.0, 13.0, 0.0, 0.0, 0.0, 12.0, 16.0, 16.0, 9.0, 2.0, 0.0, 0.0, 0.0, 2.0, 5.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 6.0, 0.0, 0.0, 0.0], [0.0, 0.0, 5.0, 12.0, 16.0, 7.0, 0.0, 0.0, 0.0, 5.0, 14.0, 4.0, 9.0, 15.0, 5.0, 0.0, 0.0, 4.0, 13.0, 6.0, 14.0, 6.0, 2.0, 0.0, 0.0, 1.0, 14.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 3.0, 15.0, 12.0, 9.0, 0.0, 0.0, 0.0, 0.0, 5.0, 12.0, 0.0, 10.0, 7.0, 0.0, 0.0, 0.0, 3.0, 15.0, 4.0, 2.0, 15.0, 0.0, 0.0, 0.0, 0.0, 5.0, 14.0, 14.0, 7.0, 0.0, 0.0], [0.0, 0.0, 0.0, 1.0, 7.0, 15.0, 11.0, 0.0, 0.0, 0.0, 0.0, 11.0, 8.0, 3.0, 13.0, 0.0, 0.0, 0.0, 10.0, 6.0, 2.0, 12.0, 11.0, 0.0, 0.0, 1.0, 16.0, 12.0, 16.0, 16.0, 7.0, 0.0, 0.0, 2.0, 16.0, 14.0, 7.0, 12.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 6.0, 0.0, 0.0], [0.0, 0.0, 5.0, 15.0, 14.0, 3.0, 0.0, 0.0, 0.0, 0.0, 13.0, 15.0, 9.0, 15.0, 2.0, 0.0, 0.0, 4.0, 16.0, 12.0, 0.0, 10.0, 6.0, 0.0, 0.0, 8.0, 16.0, 9.0, 0.0, 8.0, 10.0, 0.0, 0.0, 7.0, 15.0, 5.0, 0.0, 12.0, 11.0, 0.0, 0.0, 7.0, 13.0, 0.0, 5.0, 16.0, 6.0, 0.0, 0.0, 0.0, 16.0, 12.0, 15.0, 13.0, 1.0, 0.0, 0.0, 0.0, 6.0, 16.0, 12.0, 2.0, 0.0, 0.0], [0.0, 0.0, 4.0, 16.0, 15.0, 4.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 12.0, 16.0, 13.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 16.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 3.0, 12.0, 14.0, 11.0, 0.0, 0.0], [0.0, 0.0, 8.0, 15.0, 12.0, 1.0, 0.0, 0.0, 0.0, 8.0, 13.0, 8.0, 12.0, 6.0, 0.0, 0.0, 0.0, 4.0, 2.0, 0.0, 8.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 13.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 13.0, 0.0, 4.0, 4.0, 0.0, 0.0, 0.0, 10.0, 12.0, 9.0, 15.0, 11.0, 0.0, 0.0, 0.0, 9.0, 16.0, 9.0, 7.0, 1.0, 0.0], [0.0, 0.0, 6.0, 13.0, 16.0, 8.0, 0.0, 0.0, 0.0, 5.0, 16.0, 15.0, 14.0, 12.0, 0.0, 0.0, 0.0, 9.0, 12.0, 2.0, 15.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 16.0, 13.0, 3.0, 0.0, 0.0, 0.0, 0.0, 3.0, 9.0, 15.0, 11.0, 0.0, 0.0, 0.0, 1.0, 8.0, 14.0, 16.0, 8.0, 0.0, 0.0, 0.0, 7.0, 16.0, 14.0, 6.0, 0.0, 0.0], [0.0, 0.0, 0.0, 0.0, 6.0, 15.0, 2.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 16.0, 2.0, 0.0, 0.0, 0.0, 4.0, 16.0, 12.0, 16.0, 0.0, 0.0, 0.0, 4.0, 15.0, 6.0, 7.0, 13.0, 0.0, 0.0, 0.0, 11.0, 15.0, 15.0, 16.0, 16.0, 9.0, 0.0, 0.0, 9.0, 13.0, 12.0, 13.0, 14.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 8.0, 0.0, 0.0], [0.0, 1.0, 13.0, 16.0, 16.0, 11.0, 1.0, 0.0, 0.0, 8.0, 16.0, 16.0, 13.0, 11.0, 1.0, 0.0, 0.0, 11.0, 13.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 13.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 14.0, 15.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 6.0, 9.0, 15.0, 9.0, 0.0, 0.0, 0.0, 0.0, 13.0, 16.0, 15.0, 3.0, 0.0, 0.0], [0.0, 0.0, 1.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 9.0, 12.0, 10.0, 2.0, 0.0, 0.0, 0.0, 16.0, 13.0, 8.0, 8.0, 11.0, 0.0, 0.0, 0.0, 13.0, 10.0, 4.0, 9.0, 15.0, 0.0, 0.0, 0.0, 3.0, 10.0, 15.0, 9.0, 2.0, 0.0], [0.0, 0.0, 0.0, 4.0, 11.0, 15.0, 16.0, 12.0, 0.0, 0.0, 2.0, 16.0, 12.0, 9.0, 11.0, 12.0, 0.0, 0.0, 1.0, 2.0, 0.0, 0.0, 14.0, 5.0, 0.0, 0.0, 0.0, 7.0, 12.0, 14.0, 15.0, 0.0, 0.0, 0.0, 3.0, 16.0, 16.0, 15.0, 2.0, 0.0, 0.0, 0.0, 0.0, 1.0, 11.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 10.0, 0.0, 0.0, 0.0], [0.0, 0.0, 3.0, 13.0, 14.0, 4.0, 0.0, 0.0, 0.0, 0.0, 15.0, 8.0, 7.0, 11.0, 0.0, 0.0, 0.0, 0.0, 16.0, 0.0, 0.0, 11.0, 3.0, 0.0, 0.0, 0.0, 10.0, 6.0, 14.0, 14.0, 1.0, 0.0, 0.0, 0.0, 5.0, 16.0, 14.0, 1.0, 0.0, 0.0, 0.0, 0.0, 12.0, 10.0, 8.0, 12.0, 0.0, 0.0, 0.0, 0.0, 14.0, 3.0, 0.0, 9.0, 8.0, 0.0, 0.0, 0.0, 4.0, 14.0, 15.0, 12.0, 4.0, 0.0], [0.0, 0.0, 0.0, 1.0, 7.0, 14.0, 14.0, 0.0, 0.0, 0.0, 3.0, 15.0, 7.0, 1.0, 14.0, 0.0, 0.0, 2.0, 16.0, 10.0, 5.0, 14.0, 8.0, 0.0, 0.0, 4.0, 15.0, 16.0, 12.0, 16.0, 5.0, 0.0, 0.0, 0.0, 5.0, 3.0, 1.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 12.0, 0.0, 0.0], [0.0, 0.0, 3.0, 12.0, 8.0, 3.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 13.0, 13.0, 1.0, 0.0, 0.0, 0.0, 13.0, 8.0, 0.0, 9.0, 4.0, 0.0, 0.0, 0.0, 16.0, 2.0, 0.0, 6.0, 6.0, 0.0, 0.0, 4.0, 12.0, 0.0, 0.0, 10.0, 3.0, 0.0, 0.0, 3.0, 12.0, 0.0, 0.0, 13.0, 2.0, 0.0, 0.0, 0.0, 12.0, 4.0, 12.0, 10.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 13.0, 2.0, 0.0, 0.0], [0.0, 0.0, 0.0, 0.0, 8.0, 14.0, 10.0, 0.0, 0.0, 0.0, 0.0, 9.0, 7.0, 9.0, 12.0, 0.0, 0.0, 0.0, 9.0, 8.0, 0.0, 12.0, 9.0, 0.0, 0.0, 4.0, 16.0, 8.0, 12.0, 16.0, 2.0, 0.0, 0.0, 5.0, 16.0, 16.0, 10.0, 15.0, 0.0, 0.0, 0.0, 0.0, 4.0, 0.0, 5.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 10.0, 0.0, 0.0], [0.0, 0.0, 2.0, 15.0, 15.0, 16.0, 11.0, 0.0, 0.0, 0.0, 8.0, 16.0, 11.0, 3.0, 0.0, 0.0, 0.0, 0.0, 13.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 3.0, 9.0, 11.0, 3.0, 0.0, 0.0, 10.0, 15.0, 15.0, 16.0, 16.0, 11.0, 0.0, 0.0, 6.0, 16.0, 10.0, 7.0, 16.0, 5.0, 0.0, 0.0, 0.0, 3.0, 4.0, 15.0, 8.0, 0.0, 0.0, 0.0, 0.0, 4.0, 15.0, 7.0, 0.0, 0.0, 0.0], [0.0, 0.0, 13.0, 16.0, 16.0, 16.0, 8.0, 0.0, 0.0, 2.0, 16.0, 13.0, 8.0, 4.0, 1.0, 0.0, 0.0, 7.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 15.0, 12.0, 5.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 16.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 3.0, 15.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 14.0, 0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 4.0, 15.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 15.0, 11.0, 16.0, 13.0, 4.0, 0.0, 0.0, 7.0, 16.0, 16.0, 11.0, 14.0, 14.0, 0.0, 0.0, 2.0, 16.0, 11.0, 5.0, 15.0, 12.0, 0.0, 0.0, 0.0, 3.0, 16.0, 16.0, 14.0, 3.0, 0.0], [0.0, 0.0, 15.0, 12.0, 11.0, 6.0, 2.0, 0.0, 0.0, 4.0, 16.0, 15.0, 12.0, 12.0, 10.0, 0.0, 0.0, 7.0, 14.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 12.0, 3.0, 1.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 16.0, 14.0, 2.0, 0.0, 0.0, 0.0, 1.0, 8.0, 8.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 1.0, 11.0, 15.0, 2.0, 0.0, 0.0, 0.0, 0.0, 13.0, 16.0, 6.0, 0.0, 0.0, 0.0], [0.0, 0.0, 5.0, 16.0, 12.0, 2.0, 0.0, 0.0, 0.0, 0.0, 13.0, 14.0, 15.0, 11.0, 0.0, 0.0, 0.0, 6.0, 15.0, 1.0, 2.0, 16.0, 4.0, 0.0, 0.0, 6.0, 14.0, 0.0, 0.0, 9.0, 8.0, 0.0, 0.0, 8.0, 10.0, 0.0, 0.0, 13.0, 8.0, 0.0, 0.0, 4.0, 13.0, 0.0, 1.0, 14.0, 8.0, 0.0, 0.0, 0.0, 14.0, 14.0, 15.0, 15.0, 3.0, 0.0, 0.0, 0.0, 5.0, 12.0, 13.0, 8.0, 0.0, 0.0], [0.0, 0.0, 0.0, 1.0, 12.0, 16.0, 14.0, 0.0, 0.0, 0.0, 3.0, 14.0, 13.0, 15.0, 13.0, 0.0, 0.0, 4.0, 16.0, 15.0, 13.0, 16.0, 4.0, 0.0, 0.0, 3.0, 16.0, 16.0, 16.0, 16.0, 3.0, 0.0, 0.0, 0.0, 7.0, 7.0, 14.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 12.0, 0.0, 0.0], [0.0, 0.0, 6.0, 14.0, 13.0, 4.0, 0.0, 0.0, 0.0, 4.0, 16.0, 11.0, 10.0, 15.0, 0.0, 0.0, 0.0, 9.0, 11.0, 0.0, 12.0, 11.0, 0.0, 0.0, 0.0, 7.0, 11.0, 8.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 13.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 13.0, 12.0, 9.0, 0.0, 0.0, 0.0, 0.0, 12.0, 8.0, 0.0, 15.0, 1.0, 0.0, 0.0, 0.0, 5.0, 16.0, 16.0, 11.0, 0.0, 0.0], [0.0, 0.0, 0.0, 0.0, 8.0, 15.0, 9.0, 0.0, 0.0, 0.0, 1.0, 12.0, 8.0, 2.0, 11.0, 0.0, 0.0, 0.0, 10.0, 11.0, 0.0, 11.0, 8.0, 0.0, 0.0, 5.0, 16.0, 14.0, 15.0, 15.0, 3.0, 0.0, 0.0, 2.0, 12.0, 10.0, 4.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 6.0, 0.0, 0.0], [0.0, 0.0, 4.0, 12.0, 16.0, 6.0, 0.0, 0.0, 0.0, 4.0, 16.0, 10.0, 5.0, 16.0, 4.0, 0.0, 0.0, 8.0, 13.0, 0.0, 5.0, 15.0, 5.0, 0.0, 0.0, 6.0, 12.0, 7.0, 15.0, 3.0, 0.0, 0.0, 0.0, 0.0, 12.0, 16.0, 12.0, 1.0, 0.0, 0.0, 0.0, 0.0, 11.0, 10.0, 9.0, 11.0, 0.0, 0.0, 0.0, 0.0, 12.0, 6.0, 0.0, 13.0, 3.0, 0.0, 0.0, 0.0, 6.0, 13.0, 13.0, 8.0, 0.0, 0.0], [0.0, 0.0, 0.0, 4.0, 15.0, 11.0, 0.0, 0.0, 0.0, 0.0, 2.0, 15.0, 16.0, 13.0, 0.0, 0.0, 0.0, 0.0, 13.0, 13.0, 11.0, 10.0, 0.0, 0.0, 0.0, 7.0, 14.0, 3.0, 14.0, 12.0, 6.0, 0.0, 0.0, 8.0, 16.0, 16.0, 16.0, 15.0, 8.0, 0.0, 0.0, 1.0, 8.0, 9.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 14.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 14.0, 16.0, 15.0, 11.0, 0.0, 0.0, 0.0, 2.0, 16.0, 16.0, 16.0, 10.0, 0.0, 0.0, 0.0, 4.0, 16.0, 16.0, 16.0, 4.0, 0.0, 0.0, 0.0, 12.0, 16.0, 16.0, 12.0, 0.0, 0.0, 0.0, 0.0, 12.0, 16.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 14.0, 16.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 15.0, 2.0, 0.0, 0.0, 0.0, 0.0, 1.0, 15.0, 15.0, 1.0, 0.0, 0.0], [0.0, 0.0, 0.0, 4.0, 13.0, 16.0, 15.0, 2.0, 0.0, 0.0, 2.0, 15.0, 13.0, 13.0, 16.0, 6.0, 0.0, 0.0, 7.0, 7.0, 0.0, 3.0, 16.0, 4.0, 0.0, 0.0, 0.0, 4.0, 4.0, 8.0, 14.0, 0.0, 0.0, 0.0, 14.0, 16.0, 16.0, 16.0, 6.0, 0.0, 0.0, 0.0, 11.0, 9.0, 10.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 10.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 3.0, 9.0, 16.0, 16.0, 2.0, 0.0, 0.0, 4.0, 16.0, 13.0, 11.0, 16.0, 1.0, 0.0, 0.0, 3.0, 5.0, 0.0, 6.0, 13.0, 0.0, 0.0, 0.0, 0.0, 2.0, 7.0, 14.0, 9.0, 0.0, 0.0, 0.0, 4.0, 16.0, 16.0, 15.0, 3.0, 0.0, 0.0, 0.0, 9.0, 8.0, 11.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 15.0, 1.0, 0.0, 0.0], [0.0, 0.0, 1.0, 9.0, 15.0, 15.0, 1.0, 0.0, 0.0, 0.0, 13.0, 14.0, 8.0, 12.0, 4.0, 0.0, 0.0, 5.0, 11.0, 1.0, 2.0, 13.0, 1.0, 0.0, 0.0, 1.0, 4.0, 0.0, 11.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 14.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 13.0, 6.0, 0.0, 0.0, 0.0, 0.0, 4.0, 10.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 12.0, 13.0, 4.0, 0.0, 0.0], [0.0, 0.0, 8.0, 12.0, 16.0, 16.0, 9.0, 0.0, 0.0, 4.0, 16.0, 16.0, 13.0, 9.0, 2.0, 0.0, 0.0, 11.0, 14.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 15.0, 10.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 16.0, 13.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 5.0, 10.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 10.0, 0.0, 0.0, 0.0], [0.0, 0.0, 1.0, 10.0, 15.0, 11.0, 7.0, 0.0, 0.0, 0.0, 5.0, 16.0, 16.0, 16.0, 11.0, 0.0, 0.0, 0.0, 6.0, 16.0, 16.0, 16.0, 6.0, 0.0, 0.0, 0.0, 12.0, 16.0, 16.0, 12.0, 0.0, 0.0, 0.0, 2.0, 16.0, 16.0, 16.0, 6.0, 0.0, 0.0, 0.0, 2.0, 12.0, 16.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 3.0, 12.0, 16.0, 2.0, 0.0, 0.0], [0.0, 0.0, 1.0, 13.0, 12.0, 1.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 16.0, 12.0, 0.0, 0.0, 0.0, 0.0, 14.0, 6.0, 0.0, 13.0, 3.0, 0.0, 0.0, 6.0, 10.0, 0.0, 0.0, 10.0, 6.0, 0.0, 0.0, 7.0, 13.0, 0.0, 0.0, 9.0, 8.0, 0.0, 0.0, 3.0, 16.0, 1.0, 3.0, 14.0, 7.0, 0.0, 0.0, 0.0, 11.0, 16.0, 16.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 6.0, 0.0, 0.0], [0.0, 0.0, 4.0, 16.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 10.0, 15.0, 12.0, 14.0, 0.0, 0.0, 0.0, 2.0, 11.0, 0.0, 0.0, 9.0, 6.0, 0.0, 0.0, 5.0, 6.0, 0.0, 0.0, 4.0, 5.0, 0.0, 0.0, 4.0, 9.0, 0.0, 0.0, 7.0, 4.0, 0.0, 0.0, 4.0, 10.0, 0.0, 2.0, 14.0, 0.0, 0.0, 0.0, 0.0, 14.0, 15.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 4.0, 13.0, 10.0, 0.0, 0.0, 0.0], [0.0, 0.0, 6.0, 16.0, 16.0, 7.0, 0.0, 0.0, 0.0, 8.0, 16.0, 13.0, 10.0, 16.0, 0.0, 0.0, 0.0, 6.0, 9.0, 0.0, 6.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 1.0, 15.0, 8.0, 3.0, 5.0, 0.0, 0.0, 0.0, 8.0, 16.0, 11.0, 16.0, 9.0, 0.0, 0.0, 0.0, 5.0, 16.0, 16.0, 7.0, 0.0, 0.0], [0.0, 0.0, 6.0, 15.0, 15.0, 3.0, 0.0, 0.0, 0.0, 5.0, 16.0, 13.0, 15.0, 8.0, 0.0, 0.0, 0.0, 8.0, 13.0, 0.0, 13.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 5.0, 9.0, 8.0, 0.0, 0.0, 0.0, 8.0, 15.0, 15.0, 15.0, 3.0, 0.0, 0.0, 0.0, 5.0, 16.0, 12.0, 1.0, 0.0, 0.0], [0.0, 0.0, 1.0, 11.0, 16.0, 16.0, 7.0, 0.0, 0.0, 0.0, 7.0, 13.0, 8.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 1.0, 1.0, 16.0, 4.0, 0.0, 0.0, 0.0, 2.0, 7.0, 13.0, 16.0, 15.0, 0.0, 0.0, 1.0, 15.0, 16.0, 16.0, 12.0, 3.0, 0.0, 0.0, 1.0, 8.0, 4.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 14.0, 4.0, 0.0, 0.0, 0.0], [0.0, 0.0, 2.0, 12.0, 16.0, 10.0, 0.0, 0.0, 0.0, 3.0, 15.0, 10.0, 7.0, 16.0, 4.0, 0.0, 0.0, 9.0, 8.0, 0.0, 11.0, 10.0, 0.0, 0.0, 0.0, 3.0, 15.0, 11.0, 14.0, 1.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 7.0, 13.0, 4.0, 0.0, 0.0, 0.0, 0.0, 9.0, 7.0, 6.0, 10.0, 0.0, 0.0, 0.0, 0.0, 1.0, 12.0, 16.0, 5.0, 0.0, 0.0], [0.0, 0.0, 3.0, 12.0, 16.0, 16.0, 3.0, 0.0, 0.0, 2.0, 16.0, 16.0, 11.0, 16.0, 4.0, 0.0, 0.0, 8.0, 14.0, 2.0, 10.0, 16.0, 1.0, 0.0, 0.0, 5.0, 5.0, 3.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 5.0, 2.0, 3.0, 0.0, 0.0, 0.0, 3.0, 16.0, 12.0, 15.0, 6.0, 0.0, 0.0, 0.0, 0.0, 15.0, 16.0, 8.0, 0.0, 0.0], [0.0, 0.0, 0.0, 9.0, 15.0, 6.0, 0.0, 0.0, 0.0, 0.0, 5.0, 15.0, 16.0, 15.0, 0.0, 0.0, 0.0, 0.0, 15.0, 15.0, 4.0, 16.0, 3.0, 0.0, 0.0, 2.0, 14.0, 5.0, 0.0, 12.0, 8.0, 0.0, 0.0, 6.0, 13.0, 0.0, 1.0, 14.0, 6.0, 0.0, 0.0, 1.0, 10.0, 14.0, 15.0, 16.0, 3.0, 0.0, 0.0, 0.0, 3.0, 16.0, 16.0, 14.0, 1.0, 0.0, 0.0, 0.0, 0.0, 9.0, 13.0, 5.0, 0.0, 0.0], [0.0, 0.0, 3.0, 8.0, 11.0, 11.0, 1.0, 0.0, 0.0, 0.0, 3.0, 16.0, 16.0, 12.0, 0.0, 0.0, 0.0, 0.0, 2.0, 15.0, 16.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 1.0, 15.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 2.0, 15.0, 16.0, 6.0, 0.0, 0.0], [0.0, 0.0, 1.0, 13.0, 16.0, 10.0, 0.0, 0.0, 0.0, 1.0, 13.0, 15.0, 8.0, 16.0, 3.0, 0.0, 0.0, 8.0, 15.0, 3.0, 4.0, 15.0, 0.0, 0.0, 0.0, 1.0, 3.0, 0.0, 12.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 14.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 8.0, 0.0, 4.0, 0.0, 0.0, 0.0, 1.0, 16.0, 8.0, 13.0, 9.0, 0.0, 0.0, 0.0, 0.0, 14.0, 16.0, 11.0, 0.0, 0.0], [0.0, 0.0, 2.0, 14.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 0.0, 6.0, 7.0, 2.0, 0.0, 0.0, 4.0, 12.0, 13.0, 15.0, 14.0, 12.0, 0.0, 0.0, 0.0, 13.0, 12.0, 2.0, 11.0, 14.0, 0.0, 0.0, 0.0, 3.0, 13.0, 16.0, 13.0, 1.0, 0.0], [0.0, 0.0, 6.0, 14.0, 16.0, 16.0, 2.0, 0.0, 0.0, 5.0, 16.0, 13.0, 11.0, 16.0, 0.0, 0.0, 0.0, 0.0, 7.0, 2.0, 15.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 13.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 15.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 9.0, 0.0, 0.0, 0.0, 3.0, 11.0, 8.0, 16.0, 6.0, 0.0, 0.0, 0.0, 7.0, 16.0, 16.0, 8.0, 0.0, 0.0], [0.0, 1.0, 7.0, 13.0, 16.0, 11.0, 0.0, 0.0, 0.0, 11.0, 16.0, 13.0, 15.0, 16.0, 0.0, 0.0, 0.0, 3.0, 8.0, 2.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 14.0, 11.0, 0.0, 0.0, 0.0, 3.0, 8.0, 14.0, 16.0, 8.0, 0.0, 0.0, 0.0, 7.0, 16.0, 12.0, 7.0, 0.0, 0.0], [0.0, 0.0, 1.0, 6.0, 12.0, 16.0, 9.0, 0.0, 0.0, 0.0, 10.0, 15.0, 10.0, 13.0, 9.0, 0.0, 0.0, 0.0, 2.0, 1.0, 0.0, 14.0, 2.0, 0.0, 0.0, 0.0, 0.0, 6.0, 12.0, 16.0, 15.0, 0.0, 0.0, 0.0, 5.0, 16.0, 16.0, 14.0, 7.0, 0.0, 0.0, 0.0, 3.0, 6.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 2.0, 0.0, 0.0, 0.0], [0.0, 0.0, 4.0, 13.0, 16.0, 11.0, 0.0, 0.0, 0.0, 9.0, 16.0, 9.0, 10.0, 15.0, 0.0, 0.0, 0.0, 5.0, 4.0, 0.0, 12.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 12.0, 1.0, 0.0, 0.0, 0.0, 0.0, 1.0, 9.0, 15.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 12.0, 0.0, 0.0, 0.0, 1.0, 6.0, 8.0, 16.0, 8.0, 0.0, 0.0, 0.0, 5.0, 16.0, 15.0, 9.0, 1.0, 0.0], [0.0, 1.0, 11.0, 15.0, 16.0, 9.0, 0.0, 0.0, 0.0, 3.0, 16.0, 10.0, 10.0, 16.0, 1.0, 0.0, 0.0, 0.0, 2.0, 1.0, 14.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 16.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 8.0, 0.0, 0.0, 0.0, 6.0, 8.0, 13.0, 15.0, 5.0, 0.0, 0.0, 0.0, 15.0, 16.0, 12.0, 5.0, 0.0, 0.0], [0.0, 0.0, 0.0, 6.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 9.0, 15.0, 3.0, 0.0, 0.0, 1.0, 15.0, 7.0, 5.0, 15.0, 0.0, 0.0, 0.0, 9.0, 16.0, 4.0, 11.0, 14.0, 10.0, 0.0, 0.0, 9.0, 16.0, 16.0, 16.0, 16.0, 9.0, 0.0, 0.0, 0.0, 2.0, 4.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 10.0, 0.0, 0.0, 0.0], [0.0, 0.0, 2.0, 14.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 12.0, 1.0, 0.0, 0.0, 0.0, 0.0, 1.0, 15.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 12.0, 12.0, 16.0, 13.0, 2.0, 0.0, 0.0, 4.0, 16.0, 12.0, 6.0, 6.0, 11.0, 0.0, 0.0, 0.0, 14.0, 9.0, 0.0, 5.0, 13.0, 0.0, 0.0, 0.0, 3.0, 11.0, 15.0, 14.0, 1.0, 0.0], [0.0, 0.0, 1.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 9.0, 3.0, 2.0, 0.0, 0.0, 0.0, 0.0, 13.0, 16.0, 16.0, 15.0, 4.0, 0.0, 0.0, 0.0, 13.0, 13.0, 6.0, 4.0, 12.0, 0.0, 0.0, 0.0, 9.0, 11.0, 5.0, 9.0, 15.0, 2.0, 0.0, 0.0, 2.0, 12.0, 16.0, 12.0, 6.0, 0.0], [0.0, 0.0, 9.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 8.0, 14.0, 9.0, 0.0, 0.0, 0.0, 5.0, 16.0, 15.0, 8.0, 9.0, 10.0, 0.0, 0.0, 3.0, 16.0, 2.0, 0.0, 7.0, 11.0, 0.0, 0.0, 0.0, 7.0, 14.0, 16.0, 12.0, 1.0, 0.0], [0.0, 0.0, 0.0, 1.0, 11.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 9.0, 15.0, 15.0, 7.0, 0.0, 0.0, 0.0, 5.0, 16.0, 3.0, 16.0, 4.0, 0.0, 0.0, 0.0, 10.0, 13.0, 9.0, 16.0, 14.0, 8.0, 0.0, 0.0, 3.0, 15.0, 16.0, 16.0, 13.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 2.0, 0.0, 0.0], [0.0, 0.0, 0.0, 1.0, 7.0, 12.0, 14.0, 1.0, 0.0, 0.0, 1.0, 13.0, 8.0, 4.0, 13.0, 0.0, 0.0, 0.0, 10.0, 16.0, 9.0, 15.0, 11.0, 0.0, 0.0, 1.0, 16.0, 15.0, 15.0, 16.0, 3.0, 0.0, 0.0, 0.0, 11.0, 9.0, 3.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 6.0, 0.0, 0.0], [0.0, 0.0, 0.0, 10.0, 12.0, 8.0, 1.0, 0.0, 0.0, 0.0, 5.0, 16.0, 16.0, 16.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 16.0, 9.0, 0.0, 0.0, 0.0, 2.0, 15.0, 16.0, 13.0, 2.0, 0.0, 0.0, 0.0, 4.0, 16.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 1.0, 15.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 11.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 12.0, 6.0, 0.0, 0.0], [0.0, 0.0, 6.0, 16.0, 16.0, 16.0, 10.0, 0.0, 0.0, 0.0, 13.0, 15.0, 9.0, 6.0, 0.0, 0.0, 0.0, 6.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 15.0, 4.0, 2.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 16.0, 16.0, 15.0, 1.0, 0.0, 0.0, 0.0, 6.0, 8.0, 9.0, 16.0, 4.0, 0.0, 0.0, 0.0, 1.0, 3.0, 13.0, 15.0, 1.0, 0.0, 0.0, 0.0, 7.0, 16.0, 15.0, 3.0, 0.0, 0.0], [0.0, 0.0, 0.0, 9.0, 13.0, 3.0, 0.0, 0.0, 0.0, 0.0, 8.0, 15.0, 12.0, 15.0, 2.0, 0.0, 0.0, 0.0, 12.0, 8.0, 0.0, 15.0, 4.0, 0.0, 0.0, 3.0, 13.0, 0.0, 0.0, 10.0, 7.0, 0.0, 0.0, 8.0, 9.0, 0.0, 0.0, 13.0, 7.0, 0.0, 0.0, 2.0, 16.0, 4.0, 7.0, 16.0, 5.0, 0.0, 0.0, 0.0, 14.0, 14.0, 16.0, 15.0, 1.0, 0.0, 0.0, 0.0, 1.0, 12.0, 14.0, 4.0, 0.0, 0.0], [0.0, 0.0, 0.0, 0.0, 8.0, 13.0, 3.0, 0.0, 0.0, 0.0, 0.0, 12.0, 11.0, 11.0, 5.0, 0.0, 0.0, 0.0, 11.0, 8.0, 8.0, 16.0, 0.0, 0.0, 0.0, 2.0, 16.0, 16.0, 16.0, 15.0, 0.0, 0.0, 0.0, 2.0, 16.0, 11.0, 7.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 7.0, 0.0, 0.0], [0.0, 0.0, 2.0, 16.0, 15.0, 15.0, 8.0, 0.0, 0.0, 0.0, 7.0, 16.0, 15.0, 12.0, 7.0, 0.0, 0.0, 3.0, 15.0, 8.0, 1.0, 0.0, 0.0, 0.0, 0.0, 9.0, 15.0, 4.0, 4.0, 2.0, 0.0, 0.0, 0.0, 5.0, 16.0, 16.0, 16.0, 15.0, 2.0, 0.0, 0.0, 0.0, 5.0, 6.0, 8.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 1.0, 14.0, 10.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 13.0, 1.0, 0.0, 0.0], [0.0, 0.0, 9.0, 16.0, 16.0, 9.0, 0.0, 0.0, 0.0, 5.0, 16.0, 14.0, 15.0, 16.0, 1.0, 0.0, 0.0, 2.0, 11.0, 1.0, 10.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 15.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 7.0, 8.0, 7.0, 0.0, 0.0, 0.0, 9.0, 16.0, 15.0, 14.0, 2.0, 0.0, 0.0, 0.0, 9.0, 16.0, 13.0, 1.0, 0.0, 0.0], [0.0, 0.0, 3.0, 12.0, 11.0, 4.0, 0.0, 0.0, 0.0, 4.0, 15.0, 13.0, 12.0, 16.0, 0.0, 0.0, 0.0, 9.0, 14.0, 0.0, 0.0, 12.0, 2.0, 0.0, 0.0, 0.0, 13.0, 11.0, 7.0, 15.0, 3.0, 0.0, 0.0, 0.0, 0.0, 15.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 10.0, 14.0, 2.0, 0.0, 0.0, 0.0, 11.0, 13.0, 0.0, 8.0, 8.0, 0.0, 0.0, 0.0, 2.0, 12.0, 16.0, 16.0, 7.0, 0.0], [0.0, 0.0, 4.0, 14.0, 16.0, 5.0, 0.0, 0.0, 0.0, 4.0, 16.0, 16.0, 16.0, 8.0, 0.0, 0.0, 0.0, 10.0, 15.0, 9.0, 16.0, 4.0, 0.0, 0.0, 0.0, 1.0, 2.0, 13.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 0.0, 5.0, 7.0, 0.0, 0.0, 0.0, 8.0, 16.0, 13.0, 16.0, 6.0, 0.0, 0.0, 0.0, 2.0, 15.0, 16.0, 6.0, 0.0, 0.0], [0.0, 0.0, 4.0, 12.0, 13.0, 5.0, 0.0, 0.0, 0.0, 0.0, 14.0, 16.0, 16.0, 16.0, 4.0, 0.0, 0.0, 6.0, 13.0, 2.0, 1.0, 11.0, 8.0, 0.0, 0.0, 6.0, 11.0, 0.0, 0.0, 8.0, 8.0, 0.0, 0.0, 4.0, 16.0, 0.0, 0.0, 10.0, 8.0, 0.0, 0.0, 4.0, 16.0, 4.0, 8.0, 16.0, 3.0, 0.0, 0.0, 0.0, 16.0, 16.0, 16.0, 12.0, 0.0, 0.0, 0.0, 0.0, 4.0, 15.0, 14.0, 3.0, 0.0, 0.0], [0.0, 0.0, 3.0, 11.0, 7.0, 1.0, 0.0, 0.0, 0.0, 0.0, 10.0, 15.0, 14.0, 14.0, 0.0, 0.0, 0.0, 2.0, 16.0, 10.0, 1.0, 12.0, 4.0, 0.0, 0.0, 2.0, 16.0, 3.0, 0.0, 4.0, 8.0, 0.0, 0.0, 5.0, 12.0, 0.0, 0.0, 6.0, 8.0, 0.0, 0.0, 1.0, 12.0, 0.0, 0.0, 11.0, 9.0, 0.0, 0.0, 0.0, 15.0, 9.0, 14.0, 15.0, 1.0, 0.0, 0.0, 0.0, 4.0, 15.0, 15.0, 4.0, 0.0, 0.0], [0.0, 0.0, 0.0, 10.0, 16.0, 11.0, 1.0, 0.0, 0.0, 0.0, 0.0, 15.0, 16.0, 15.0, 2.0, 0.0, 0.0, 0.0, 1.0, 13.0, 16.0, 14.0, 0.0, 0.0, 0.0, 0.0, 1.0, 15.0, 16.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 1.0, 14.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 15.0, 1.0, 0.0, 0.0], [0.0, 0.0, 0.0, 7.0, 14.0, 16.0, 5.0, 0.0, 0.0, 0.0, 7.0, 16.0, 12.0, 16.0, 8.0, 0.0, 0.0, 0.0, 4.0, 2.0, 1.0, 16.0, 4.0, 0.0, 0.0, 0.0, 3.0, 12.0, 12.0, 16.0, 8.0, 0.0, 0.0, 0.0, 12.0, 16.0, 16.0, 15.0, 5.0, 0.0, 0.0, 0.0, 5.0, 5.0, 13.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 8.0, 0.0, 0.0, 0.0], [0.0, 0.0, 1.0, 13.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0, 1.0, 14.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 3.0, 0.0, 1.0, 0.0, 0.0, 0.0, 1.0, 16.0, 6.0, 15.0, 15.0, 5.0, 0.0, 0.0, 1.0, 16.0, 14.0, 4.0, 3.0, 12.0, 0.0, 0.0, 0.0, 7.0, 7.0, 0.0, 9.0, 12.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 9.0, 2.0, 0.0], [0.0, 1.0, 5.0, 12.0, 16.0, 14.0, 2.0, 0.0, 0.0, 8.0, 16.0, 16.0, 16.0, 16.0, 3.0, 0.0, 0.0, 6.0, 9.0, 2.0, 12.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 13.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 14.0, 10.0, 0.0, 0.0, 0.0, 1.0, 11.0, 15.0, 15.0, 5.0, 0.0, 0.0, 0.0, 6.0, 16.0, 12.0, 5.0, 0.0, 0.0], [0.0, 2.0, 12.0, 16.0, 12.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 13.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 3.0, 5.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 15.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 13.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 11.0, 8.0, 11.0, 5.0, 0.0, 0.0, 0.0, 15.0, 16.0, 16.0, 15.0, 3.0, 0.0], [0.0, 0.0, 5.0, 15.0, 13.0, 12.0, 4.0, 0.0, 0.0, 0.0, 11.0, 16.0, 16.0, 14.0, 0.0, 0.0, 0.0, 0.0, 16.0, 16.0, 16.0, 8.0, 0.0, 0.0, 0.0, 4.0, 16.0, 16.0, 15.0, 3.0, 0.0, 0.0, 0.0, 2.0, 16.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 15.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 15.0, 3.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 6.0, 13.0, 16.0, 16.0, 9.0, 0.0, 0.0, 6.0, 16.0, 14.0, 11.0, 16.0, 10.0, 0.0, 0.0, 2.0, 3.0, 0.0, 4.0, 15.0, 4.0, 0.0, 0.0, 2.0, 9.0, 12.0, 16.0, 13.0, 0.0, 0.0, 2.0, 15.0, 16.0, 16.0, 16.0, 3.0, 0.0, 0.0, 4.0, 9.0, 3.0, 10.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 9.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 2.0, 14.0, 2.0, 0.0, 0.0, 0.0, 0.0, 1.0, 13.0, 15.0, 6.0, 0.0, 0.0, 0.0, 0.0, 12.0, 15.0, 12.0, 11.0, 0.0, 0.0, 0.0, 5.0, 16.0, 4.0, 15.0, 6.0, 0.0, 0.0, 0.0, 12.0, 15.0, 8.0, 16.0, 16.0, 11.0, 0.0, 0.0, 6.0, 16.0, 16.0, 16.0, 8.0, 2.0, 0.0, 0.0, 0.0, 2.0, 6.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 14.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 8.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 15.0, 16.0, 16.0, 14.0, 1.0, 0.0, 0.0, 4.0, 16.0, 1.0, 4.0, 15.0, 6.0, 0.0, 0.0, 0.0, 5.0, 14.0, 15.0, 10.0, 0.0], [0.0, 0.0, 6.0, 9.0, 11.0, 9.0, 0.0, 0.0, 0.0, 13.0, 16.0, 15.0, 15.0, 15.0, 0.0, 0.0, 0.0, 4.0, 5.0, 2.0, 15.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 15.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 15.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 12.0, 0.0, 0.0, 0.0, 0.0, 5.0, 13.0, 16.0, 9.0, 0.0, 0.0, 0.0, 3.0, 13.0, 12.0, 7.0, 1.0, 0.0], [0.0, 1.0, 11.0, 16.0, 15.0, 12.0, 3.0, 0.0, 0.0, 1.0, 13.0, 16.0, 16.0, 12.0, 0.0, 0.0, 0.0, 2.0, 16.0, 16.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 16.0, 16.0, 16.0, 2.0, 0.0, 0.0, 0.0, 8.0, 16.0, 16.0, 14.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 1.0, 13.0, 16.0, 13.0, 1.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 12.0, 0.0, 0.0, 0.0], [0.0, 0.0, 7.0, 15.0, 12.0, 0.0, 0.0, 0.0, 0.0, 3.0, 15.0, 8.0, 14.0, 2.0, 0.0, 0.0, 0.0, 0.0, 5.0, 2.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 11.0, 8.0, 2.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 16.0, 15.0, 4.0, 0.0, 0.0, 0.0, 1.0, 4.0, 2.0, 12.0, 6.0, 0.0, 0.0, 0.0, 2.0, 4.0, 13.0, 12.0, 0.0, 0.0, 0.0, 0.0, 5.0, 13.0, 9.0, 1.0, 0.0, 0.0], [0.0, 0.0, 0.0, 0.0, 5.0, 15.0, 10.0, 0.0, 0.0, 0.0, 0.0, 8.0, 11.0, 15.0, 7.0, 0.0, 0.0, 0.0, 6.0, 13.0, 10.0, 16.0, 7.0, 0.0, 0.0, 3.0, 16.0, 14.0, 12.0, 15.0, 4.0, 0.0, 0.0, 1.0, 11.0, 8.0, 1.0, 14.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 4.0, 0.0, 0.0], [0.0, 0.0, 5.0, 12.0, 12.0, 8.0, 1.0, 0.0, 0.0, 0.0, 10.0, 16.0, 16.0, 15.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 16.0, 8.0, 0.0, 0.0, 0.0, 4.0, 16.0, 16.0, 16.0, 4.0, 0.0, 0.0, 0.0, 3.0, 16.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 16.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 13.0, 16.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 10.0, 12.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 7.0, 14.0, 16.0, 6.0, 0.0, 0.0, 0.0, 10.0, 16.0, 12.0, 15.0, 9.0, 0.0, 0.0, 0.0, 8.0, 3.0, 2.0, 16.0, 7.0, 0.0, 0.0, 0.0, 1.0, 8.0, 13.0, 16.0, 14.0, 0.0, 0.0, 2.0, 13.0, 16.0, 16.0, 12.0, 1.0, 0.0, 0.0, 6.0, 12.0, 6.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 6.0, 0.0, 0.0, 0.0], [0.0, 0.0, 3.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 15.0, 0.0, 1.0, 0.0, 0.0, 0.0, 0.0, 4.0, 15.0, 14.0, 16.0, 13.0, 2.0, 0.0, 0.0, 3.0, 16.0, 11.0, 3.0, 7.0, 12.0, 0.0, 0.0, 0.0, 13.0, 6.0, 3.0, 8.0, 14.0, 0.0, 0.0, 0.0, 4.0, 14.0, 16.0, 14.0, 7.0, 0.0], [0.0, 0.0, 4.0, 14.0, 14.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 16.0, 16.0, 5.0, 1.0, 0.0, 0.0, 9.0, 13.0, 0.0, 13.0, 16.0, 2.0, 0.0, 0.0, 3.0, 16.0, 13.0, 15.0, 5.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 13.0, 14.0, 7.0, 0.0, 0.0, 0.0, 0.0, 10.0, 11.0, 10.0, 15.0, 0.0, 0.0, 0.0, 0.0, 4.0, 13.0, 11.0, 3.0, 0.0, 0.0], [0.0, 0.0, 0.0, 12.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 3.0, 12.0, 4.0, 0.0, 0.0, 1.0, 16.0, 5.0, 8.0, 14.0, 0.0, 0.0, 0.0, 9.0, 15.0, 0.0, 13.0, 10.0, 2.0, 0.0, 0.0, 10.0, 15.0, 12.0, 16.0, 16.0, 9.0, 0.0, 0.0, 6.0, 16.0, 16.0, 15.0, 9.0, 1.0, 0.0, 0.0, 0.0, 0.0, 14.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 6.0, 14.0, 11.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 9.0, 16.0, 0.0, 0.0, 0.0, 0.0, 3.0, 7.0, 5.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 14.0, 8.0, 2.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 16.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 8.0, 0.0, 0.0, 0.0, 0.0, 4.0, 10.0, 15.0, 2.0, 0.0, 0.0, 0.0, 5.0, 16.0, 12.0, 4.0, 0.0, 0.0], [0.0, 0.0, 0.0, 4.0, 11.0, 9.0, 5.0, 0.0, 0.0, 0.0, 5.0, 16.0, 16.0, 16.0, 5.0, 0.0, 0.0, 0.0, 11.0, 16.0, 16.0, 9.0, 0.0, 0.0, 0.0, 4.0, 16.0, 16.0, 16.0, 4.0, 0.0, 0.0, 0.0, 1.0, 14.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 4.0, 15.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 5.0, 0.0, 0.0, 0.0], [0.0, 0.0, 1.0, 14.0, 8.0, 8.0, 1.0, 0.0, 0.0, 0.0, 10.0, 13.0, 8.0, 16.0, 1.0, 0.0, 0.0, 2.0, 16.0, 4.0, 10.0, 11.0, 0.0, 0.0, 0.0, 7.0, 15.0, 6.0, 14.0, 16.0, 13.0, 0.0, 0.0, 3.0, 16.0, 16.0, 15.0, 9.0, 2.0, 0.0, 0.0, 0.0, 3.0, 11.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 2.0, 10.0, 15.0, 1.0, 0.0, 0.0, 0.0, 3.0, 16.0, 16.0, 13.0, 13.0, 0.0, 0.0, 0.0, 5.0, 16.0, 12.0, 1.0, 12.0, 1.0, 0.0, 0.0, 7.0, 13.0, 5.0, 0.0, 7.0, 5.0, 0.0, 0.0, 2.0, 14.0, 0.0, 0.0, 7.0, 10.0, 0.0, 0.0, 0.0, 12.0, 2.0, 0.0, 12.0, 7.0, 0.0, 0.0, 0.0, 9.0, 12.0, 12.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 6.0, 0.0, 0.0], [0.0, 0.0, 10.0, 16.0, 16.0, 13.0, 0.0, 0.0, 0.0, 4.0, 16.0, 15.0, 12.0, 4.0, 0.0, 0.0, 0.0, 8.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 11.0, 6.0, 1.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 16.0, 13.0, 2.0, 0.0, 0.0, 0.0, 0.0, 1.0, 7.0, 14.0, 12.0, 0.0, 0.0, 0.0, 0.0, 6.0, 13.0, 16.0, 10.0, 0.0, 0.0, 0.0, 12.0, 16.0, 14.0, 6.0, 0.0, 0.0], [0.0, 1.0, 10.0, 16.0, 16.0, 8.0, 0.0, 0.0, 0.0, 10.0, 16.0, 13.0, 16.0, 12.0, 0.0, 0.0, 0.0, 1.0, 3.0, 3.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 14.0, 1.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 16.0, 12.0, 3.0, 0.0, 0.0, 0.0, 0.0, 5.0, 11.0, 16.0, 11.0, 0.0, 0.0, 0.0, 2.0, 7.0, 14.0, 16.0, 6.0, 0.0, 0.0, 0.0, 11.0, 16.0, 13.0, 5.0, 0.0, 0.0], [0.0, 0.0, 0.0, 6.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 15.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 7.0, 5.0, 5.0, 0.0, 0.0, 0.0, 2.0, 16.0, 13.0, 9.0, 13.0, 11.0, 0.0, 0.0, 0.0, 8.0, 13.0, 7.0, 5.0, 15.0, 3.0, 0.0, 0.0, 0.0, 5.0, 11.0, 13.0, 12.0, 2.0], [0.0, 0.0, 0.0, 0.0, 5.0, 11.0, 14.0, 1.0, 0.0, 0.0, 0.0, 10.0, 13.0, 8.0, 15.0, 2.0, 0.0, 0.0, 11.0, 9.0, 4.0, 9.0, 12.0, 0.0, 0.0, 5.0, 16.0, 16.0, 16.0, 16.0, 6.0, 0.0, 0.0, 0.0, 15.0, 16.0, 13.0, 16.0, 3.0, 0.0, 0.0, 0.0, 2.0, 3.0, 1.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 5.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 14.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 14.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 8.0, 4.0, 6.0, 2.0, 0.0, 0.0, 0.0, 11.0, 16.0, 13.0, 12.0, 13.0, 0.0, 0.0, 0.0, 12.0, 14.0, 4.0, 5.0, 16.0, 2.0, 0.0, 0.0, 1.0, 8.0, 16.0, 13.0, 9.0, 1.0], [0.0, 0.0, 2.0, 12.0, 12.0, 8.0, 1.0, 0.0, 0.0, 0.0, 2.0, 15.0, 16.0, 16.0, 8.0, 0.0, 0.0, 0.0, 5.0, 16.0, 16.0, 14.0, 3.0, 0.0, 0.0, 0.0, 8.0, 16.0, 16.0, 10.0, 0.0, 0.0, 0.0, 3.0, 15.0, 16.0, 13.0, 0.0, 0.0, 0.0, 0.0, 2.0, 14.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 9.0, 5.0, 0.0, 0.0, 0.0], [0.0, 0.0, 1.0, 9.0, 15.0, 12.0, 5.0, 0.0, 0.0, 0.0, 8.0, 16.0, 16.0, 16.0, 13.0, 0.0, 0.0, 0.0, 3.0, 1.0, 1.0, 14.0, 10.0, 0.0, 0.0, 0.0, 3.0, 10.0, 13.0, 16.0, 15.0, 0.0, 0.0, 2.0, 16.0, 16.0, 16.0, 15.0, 3.0, 0.0, 0.0, 3.0, 8.0, 2.0, 13.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 5.0, 0.0, 0.0, 0.0], [0.0, 0.0, 11.0, 16.0, 16.0, 16.0, 16.0, 2.0, 0.0, 5.0, 16.0, 16.0, 14.0, 10.0, 4.0, 0.0, 0.0, 5.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 15.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 13.0, 1.0, 0.0, 0.0], [0.0, 0.0, 0.0, 9.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 15.0, 6.0, 12.0, 0.0, 0.0, 0.0, 1.0, 12.0, 8.0, 5.0, 14.0, 0.0, 0.0, 0.0, 6.0, 14.0, 0.0, 12.0, 7.0, 0.0, 0.0, 0.0, 14.0, 6.0, 2.0, 16.0, 9.0, 5.0, 0.0, 0.0, 16.0, 13.0, 13.0, 16.0, 15.0, 4.0, 0.0, 1.0, 15.0, 16.0, 16.0, 12.0, 2.0, 0.0, 0.0, 0.0, 3.0, 3.0, 13.0, 4.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 10.0, 6.0, 0.0, 10.0, 14.0, 0.0, 0.0, 7.0, 15.0, 2.0, 7.0, 14.0, 1.0, 0.0, 0.0, 15.0, 9.0, 1.0, 15.0, 12.0, 2.0, 0.0, 4.0, 16.0, 10.0, 11.0, 16.0, 12.0, 1.0, 0.0, 2.0, 16.0, 16.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 5.0, 12.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 3.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 8.0, 14.0, 15.0, 7.0, 0.0, 0.0, 0.0, 4.0, 16.0, 12.0, 15.0, 14.0, 0.0, 0.0, 0.0, 1.0, 1.0, 0.0, 11.0, 12.0, 0.0, 0.0, 0.0, 2.0, 4.0, 6.0, 14.0, 15.0, 0.0, 0.0, 4.0, 16.0, 16.0, 16.0, 16.0, 5.0, 0.0, 0.0, 8.0, 12.0, 7.0, 14.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 7.0, 0.0, 0.0, 0.0], [0.0, 0.0, 7.0, 15.0, 15.0, 5.0, 0.0, 0.0, 0.0, 6.0, 16.0, 12.0, 16.0, 12.0, 0.0, 0.0, 0.0, 1.0, 7.0, 0.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 13.0, 1.0, 5.0, 1.0, 0.0, 0.0, 0.0, 12.0, 12.0, 13.0, 15.0, 3.0, 0.0, 0.0, 0.0, 10.0, 16.0, 13.0, 3.0, 0.0, 0.0], [0.0, 0.0, 0.0, 8.0, 15.0, 9.0, 1.0, 0.0, 0.0, 0.0, 11.0, 14.0, 12.0, 15.0, 8.0, 0.0, 0.0, 0.0, 15.0, 5.0, 6.0, 14.0, 2.0, 0.0, 0.0, 0.0, 14.0, 14.0, 15.0, 1.0, 0.0, 0.0, 0.0, 1.0, 13.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 9.0, 13.0, 0.0, 0.0, 0.0, 0.0, 2.0, 13.0, 15.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 1.0, 9.0, 15.0, 2.0, 0.0, 0.0], [0.0, 0.0, 9.0, 16.0, 16.0, 8.0, 0.0, 0.0, 0.0, 5.0, 16.0, 15.0, 14.0, 16.0, 0.0, 0.0, 0.0, 4.0, 9.0, 3.0, 13.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 14.0, 1.0, 4.0, 3.0, 0.0, 0.0, 0.0, 16.0, 14.0, 15.0, 16.0, 4.0, 0.0, 0.0, 0.0, 9.0, 16.0, 15.0, 5.0, 0.0, 0.0], [0.0, 1.0, 8.0, 16.0, 16.0, 3.0, 0.0, 0.0, 0.0, 6.0, 16.0, 12.0, 16.0, 4.0, 0.0, 0.0, 0.0, 1.0, 7.0, 0.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 14.0, 1.0, 4.0, 5.0, 0.0, 0.0, 0.0, 13.0, 12.0, 11.0, 15.0, 3.0, 0.0, 0.0, 0.0, 12.0, 16.0, 12.0, 3.0, 0.0, 0.0], [0.0, 0.0, 8.0, 14.0, 16.0, 16.0, 1.0, 0.0, 0.0, 6.0, 16.0, 16.0, 8.0, 3.0, 0.0, 0.0, 0.0, 14.0, 14.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 15.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 15.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 8.0, 15.0, 2.0, 0.0, 0.0, 0.0, 0.0, 2.0, 13.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 4.0, 0.0, 0.0, 0.0], [0.0, 0.0, 4.0, 15.0, 16.0, 11.0, 0.0, 0.0, 0.0, 0.0, 7.0, 9.0, 9.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 13.0, 0.0, 0.0, 0.0, 0.0, 1.0, 9.0, 15.0, 16.0, 10.0, 0.0, 0.0, 0.0, 13.0, 15.0, 16.0, 8.0, 2.0, 0.0, 0.0, 0.0, 3.0, 7.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 13.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 11.0, 0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 1.0, 8.0, 13.0, 14.0, 2.0, 0.0, 0.0, 2.0, 13.0, 9.0, 4.0, 14.0, 4.0, 0.0, 0.0, 13.0, 9.0, 0.0, 9.0, 14.0, 1.0, 0.0, 4.0, 16.0, 14.0, 14.0, 16.0, 6.0, 0.0, 0.0, 1.0, 11.0, 10.0, 7.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 3.0, 0.0, 0.0], [0.0, 3.0, 10.0, 16.0, 16.0, 16.0, 2.0, 0.0, 0.0, 14.0, 16.0, 14.0, 9.0, 3.0, 0.0, 0.0, 0.0, 16.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 14.0, 13.0, 0.0, 0.0, 0.0, 0.0, 2.0, 15.0, 16.0, 8.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 5.0, 11.0, 0.0, 6.0, 0.0, 0.0, 0.0, 3.0, 15.0, 7.0, 6.0, 16.0, 1.0, 0.0, 0.0, 13.0, 9.0, 1.0, 13.0, 7.0, 0.0, 0.0, 6.0, 15.0, 2.0, 6.0, 15.0, 0.0, 0.0, 0.0, 14.0, 10.0, 0.0, 14.0, 12.0, 3.0, 0.0, 0.0, 14.0, 16.0, 16.0, 16.0, 14.0, 3.0, 0.0, 0.0, 5.0, 11.0, 14.0, 13.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 9.0, 0.0, 0.0, 0.0], [0.0, 0.0, 4.0, 12.0, 16.0, 8.0, 0.0, 0.0, 0.0, 5.0, 16.0, 11.0, 10.0, 16.0, 4.0, 0.0, 0.0, 8.0, 13.0, 0.0, 1.0, 13.0, 4.0, 0.0, 0.0, 3.0, 16.0, 13.0, 15.0, 13.0, 3.0, 0.0, 0.0, 0.0, 9.0, 16.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 14.0, 7.0, 5.0, 15.0, 6.0, 0.0, 0.0, 0.0, 10.0, 12.0, 7.0, 13.0, 10.0, 0.0, 0.0, 0.0, 3.0, 13.0, 13.0, 10.0, 1.0, 0.0], [0.0, 0.0, 4.0, 15.0, 7.0, 0.0, 0.0, 0.0, 0.0, 1.0, 13.0, 12.0, 16.0, 2.0, 2.0, 0.0, 0.0, 7.0, 11.0, 0.0, 11.0, 12.0, 1.0, 0.0, 0.0, 4.0, 8.0, 6.0, 13.0, 3.0, 0.0, 0.0, 0.0, 3.0, 16.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 14.0, 6.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 10.0, 14.0, 3.0, 0.0, 0.0, 0.0, 0.0, 2.0, 9.0, 12.0, 3.0, 0.0, 0.0], [0.0, 0.0, 0.0, 11.0, 5.0, 3.0, 11.0, 0.0, 0.0, 0.0, 7.0, 14.0, 2.0, 12.0, 9.0, 0.0, 0.0, 2.0, 15.0, 6.0, 3.0, 16.0, 5.0, 0.0, 0.0, 7.0, 16.0, 8.0, 13.0, 16.0, 13.0, 0.0, 0.0, 7.0, 16.0, 16.0, 16.0, 7.0, 1.0, 0.0, 0.0, 0.0, 4.0, 10.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 1.0, 9.0, 16.0, 9.0, 0.0, 0.0, 0.0, 1.0, 11.0, 13.0, 14.0, 12.0, 1.0, 0.0, 1.0, 15.0, 13.0, 4.0, 16.0, 16.0, 3.0, 0.0, 2.0, 16.0, 16.0, 16.0, 15.0, 12.0, 0.0, 0.0, 0.0, 7.0, 8.0, 4.0, 14.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 6.0, 0.0, 0.0], [0.0, 0.0, 2.0, 12.0, 15.0, 3.0, 0.0, 0.0, 0.0, 0.0, 15.0, 15.0, 13.0, 15.0, 0.0, 0.0, 0.0, 2.0, 14.0, 3.0, 1.0, 12.0, 3.0, 0.0, 0.0, 4.0, 8.0, 0.0, 0.0, 8.0, 8.0, 0.0, 0.0, 7.0, 10.0, 0.0, 0.0, 9.0, 5.0, 0.0, 0.0, 1.0, 13.0, 5.0, 3.0, 15.0, 2.0, 0.0, 0.0, 0.0, 7.0, 16.0, 14.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 14.0, 4.0, 0.0, 0.0], [0.0, 0.0, 3.0, 13.0, 15.0, 5.0, 0.0, 0.0, 0.0, 1.0, 15.0, 13.0, 10.0, 15.0, 0.0, 0.0, 0.0, 2.0, 16.0, 3.0, 2.0, 9.0, 0.0, 0.0, 0.0, 0.0, 12.0, 13.0, 14.0, 7.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 4.0, 9.0, 11.0, 1.0, 0.0, 0.0, 0.0, 15.0, 3.0, 0.0, 8.0, 8.0, 0.0, 0.0, 0.0, 3.0, 12.0, 15.0, 12.0, 7.0, 0.0], [0.0, 0.0, 0.0, 3.0, 12.0, 16.0, 15.0, 1.0, 0.0, 0.0, 3.0, 16.0, 9.0, 10.0, 16.0, 0.0, 0.0, 0.0, 14.0, 13.0, 7.0, 15.0, 10.0, 0.0, 0.0, 2.0, 16.0, 16.0, 16.0, 16.0, 2.0, 0.0, 0.0, 2.0, 12.0, 9.0, 13.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 14.0, 1.0, 0.0, 0.0], [0.0, 0.0, 4.0, 11.0, 15.0, 7.0, 0.0, 0.0, 0.0, 2.0, 15.0, 14.0, 9.0, 15.0, 1.0, 0.0, 0.0, 8.0, 15.0, 1.0, 6.0, 16.0, 5.0, 0.0, 0.0, 6.0, 14.0, 13.0, 15.0, 6.0, 0.0, 0.0, 0.0, 1.0, 16.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 4.0, 15.0, 11.0, 15.0, 1.0, 0.0, 0.0, 0.0, 1.0, 12.0, 3.0, 7.0, 9.0, 0.0, 0.0, 0.0, 0.0, 4.0, 14.0, 16.0, 6.0, 0.0, 0.0], [0.0, 0.0, 7.0, 11.0, 15.0, 9.0, 0.0, 0.0, 0.0, 0.0, 15.0, 15.0, 4.0, 11.0, 4.0, 0.0, 0.0, 3.0, 11.0, 5.0, 0.0, 2.0, 10.0, 0.0, 0.0, 7.0, 8.0, 0.0, 0.0, 3.0, 8.0, 0.0, 0.0, 6.0, 8.0, 0.0, 0.0, 4.0, 8.0, 0.0, 0.0, 5.0, 8.0, 0.0, 0.0, 8.0, 5.0, 0.0, 0.0, 1.0, 12.0, 2.0, 1.0, 13.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 14.0, 3.0, 0.0, 0.0], [0.0, 0.0, 4.0, 14.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 1.0, 15.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 2.0, 15.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 14.0, 1.0, 0.0, 0.0], [0.0, 2.0, 15.0, 16.0, 12.0, 0.0, 0.0, 0.0, 0.0, 8.0, 11.0, 8.0, 16.0, 0.0, 0.0, 0.0, 0.0, 3.0, 1.0, 7.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 11.0, 6.0, 5.0, 2.0, 0.0, 0.0, 1.0, 16.0, 16.0, 16.0, 16.0, 9.0, 0.0], [0.0, 1.0, 13.0, 16.0, 12.0, 1.0, 0.0, 0.0, 0.0, 1.0, 9.0, 5.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 15.0, 16.0, 11.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 12.0, 7.0, 0.0, 0.0, 0.0, 2.0, 4.0, 6.0, 15.0, 3.0, 0.0, 0.0, 0.0, 14.0, 16.0, 11.0, 5.0, 0.0, 0.0], [0.0, 0.0, 0.0, 12.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 1.0, 14.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 3.0, 2.0, 0.0, 0.0, 0.0, 0.0, 13.0, 12.0, 8.0, 12.0, 0.0, 0.0, 0.0, 0.0, 15.0, 16.0, 15.0, 16.0, 13.0, 4.0, 0.0, 0.0, 4.0, 9.0, 14.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 13.0, 0.0, 0.0, 0.0], [0.0, 2.0, 13.0, 16.0, 16.0, 16.0, 15.0, 2.0, 0.0, 8.0, 16.0, 12.0, 8.0, 4.0, 1.0, 0.0, 0.0, 5.0, 16.0, 13.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 13.0, 12.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 16.0, 6.0, 0.0, 0.0, 0.0], [0.0, 0.0, 1.0, 14.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 15.0, 3.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 14.0, 13.0, 15.0, 10.0, 0.0, 0.0, 0.0, 8.0, 16.0, 2.0, 3.0, 14.0, 5.0, 0.0, 0.0, 5.0, 16.0, 4.0, 0.0, 12.0, 6.0, 0.0, 0.0, 0.0, 10.0, 13.0, 2.0, 14.0, 6.0, 0.0, 0.0, 0.0, 2.0, 12.0, 16.0, 11.0, 1.0, 0.0], [0.0, 0.0, 5.0, 15.0, 16.0, 14.0, 1.0, 0.0, 0.0, 0.0, 11.0, 13.0, 9.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 11.0, 0.0, 0.0, 0.0, 0.0, 7.0, 13.0, 15.0, 12.0, 1.0, 0.0, 0.0, 0.0, 7.0, 14.0, 14.0, 12.0, 4.0, 0.0, 0.0, 0.0, 0.0, 14.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 10.0, 0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 3.0, 13.0, 8.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 16.0, 14.0, 0.0, 0.0, 0.0, 0.0, 11.0, 11.0, 9.0, 10.0, 0.0, 0.0, 0.0, 0.0, 8.0, 14.0, 15.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 15.0, 5.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 3.0, 13.0, 9.0, 0.0, 0.0, 0.0, 5.0, 15.0, 4.0, 13.0, 11.0, 0.0, 0.0, 0.0, 1.0, 15.0, 15.0, 8.0, 2.0, 0.0], [0.0, 0.0, 5.0, 11.0, 13.0, 3.0, 0.0, 0.0, 0.0, 0.0, 16.0, 13.0, 15.0, 9.0, 0.0, 0.0, 0.0, 4.0, 16.0, 0.0, 13.0, 13.0, 0.0, 0.0, 0.0, 1.0, 11.0, 16.0, 15.0, 15.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 12.0, 0.0, 0.0, 0.0, 6.0, 4.0, 2.0, 9.0, 11.0, 0.0, 0.0, 0.0, 6.0, 13.0, 16.0, 16.0, 6.0, 0.0], [0.0, 0.0, 6.0, 16.0, 16.0, 8.0, 0.0, 0.0, 0.0, 2.0, 16.0, 8.0, 9.0, 16.0, 3.0, 0.0, 0.0, 8.0, 16.0, 1.0, 0.0, 9.0, 9.0, 0.0, 0.0, 9.0, 12.0, 0.0, 0.0, 8.0, 12.0, 0.0, 0.0, 10.0, 12.0, 0.0, 0.0, 8.0, 10.0, 0.0, 0.0, 8.0, 13.0, 0.0, 0.0, 9.0, 8.0, 0.0, 0.0, 2.0, 16.0, 8.0, 6.0, 15.0, 3.0, 0.0, 0.0, 0.0, 8.0, 16.0, 15.0, 8.0, 0.0, 0.0], [0.0, 0.0, 4.0, 12.0, 13.0, 3.0, 0.0, 0.0, 0.0, 0.0, 7.0, 14.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 16.0, 11.0, 0.0, 0.0], [0.0, 3.0, 15.0, 14.0, 5.0, 0.0, 0.0, 0.0, 0.0, 14.0, 14.0, 14.0, 15.0, 0.0, 0.0, 0.0, 0.0, 8.0, 1.0, 6.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 1.0, 14.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 2.0, 0.0, 1.0, 0.0, 0.0, 4.0, 16.0, 15.0, 8.0, 9.0, 15.0, 0.0, 0.0, 3.0, 16.0, 16.0, 16.0, 15.0, 5.0, 0.0], [0.0, 1.0, 12.0, 16.0, 13.0, 2.0, 0.0, 0.0, 0.0, 5.0, 14.0, 6.0, 13.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 15.0, 7.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 12.0, 16.0, 11.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 15.0, 7.0, 0.0, 0.0, 0.0, 6.0, 0.0, 4.0, 14.0, 7.0, 0.0, 0.0, 0.0, 16.0, 16.0, 15.0, 8.0, 1.0, 0.0], [0.0, 0.0, 0.0, 8.0, 15.0, 5.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 13.0, 1.0, 0.0, 0.0, 0.0, 0.0, 12.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 7.0, 9.0, 4.0, 0.0, 0.0, 0.0, 14.0, 16.0, 13.0, 16.0, 14.0, 3.0, 0.0, 0.0, 8.0, 14.0, 16.0, 16.0, 14.0, 2.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 14.0, 0.0, 0.0, 0.0], [0.0, 1.0, 8.0, 16.0, 16.0, 16.0, 10.0, 0.0, 0.0, 8.0, 16.0, 14.0, 8.0, 5.0, 1.0, 0.0, 0.0, 9.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 15.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 15.0, 4.0, 0.0, 0.0, 0.0, 0.0, 1.0, 3.0, 12.0, 4.0, 0.0, 0.0, 0.0, 0.0, 5.0, 14.0, 15.0, 4.0, 0.0, 0.0, 0.0, 0.0, 1.0, 13.0, 12.0, 0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 7.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 12.0, 4.0, 1.0, 0.0, 0.0, 0.0, 6.0, 16.0, 16.0, 16.0, 16.0, 5.0, 0.0, 0.0, 8.0, 16.0, 7.0, 1.0, 15.0, 8.0, 0.0, 0.0, 7.0, 16.0, 0.0, 0.0, 16.0, 4.0, 0.0, 0.0, 2.0, 16.0, 7.0, 10.0, 12.0, 0.0, 0.0, 0.0, 0.0, 4.0, 15.0, 13.0, 3.0, 0.0, 0.0], [0.0, 0.0, 7.0, 16.0, 16.0, 5.0, 0.0, 0.0, 0.0, 1.0, 15.0, 11.0, 14.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 8.0, 0.0, 0.0, 0.0, 0.0, 3.0, 8.0, 14.0, 12.0, 5.0, 0.0, 0.0, 0.0, 14.0, 16.0, 16.0, 10.0, 5.0, 0.0, 0.0, 0.0, 2.0, 8.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 15.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 14.0, 1.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 2.0, 15.0, 5.0, 0.0, 0.0, 0.0, 0.0, 2.0, 4.0, 10.0, 12.0, 0.0, 0.0, 0.0, 3.0, 15.0, 14.0, 10.0, 8.0, 0.0, 0.0, 0.0, 8.0, 15.0, 1.0, 11.0, 4.0, 0.0, 0.0, 0.0, 1.0, 8.0, 15.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 12.0, 1.0, 0.0, 0.0, 0.0, 0.0, 4.0, 14.0, 15.0, 4.0, 0.0, 0.0, 0.0, 0.0, 2.0, 14.0, 11.0, 0.0, 0.0], [0.0, 0.0, 1.0, 5.0, 12.0, 13.0, 0.0, 0.0, 0.0, 0.0, 11.0, 13.0, 15.0, 16.0, 1.0, 0.0, 0.0, 2.0, 14.0, 0.0, 10.0, 12.0, 4.0, 0.0, 0.0, 5.0, 13.0, 12.0, 3.0, 12.0, 0.0, 0.0, 0.0, 0.0, 5.0, 6.0, 0.0, 12.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 2.0, 0.0, 0.0, 0.0, 4.0, 5.0, 0.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 4.0, 14.0, 13.0, 0.0, 0.0], [0.0, 0.0, 2.0, 13.0, 15.0, 8.0, 0.0, 0.0, 0.0, 0.0, 10.0, 14.0, 10.0, 11.0, 8.0, 0.0, 0.0, 0.0, 16.0, 1.0, 0.0, 0.0, 9.0, 0.0, 0.0, 3.0, 13.0, 0.0, 0.0, 0.0, 8.0, 0.0, 0.0, 4.0, 12.0, 0.0, 0.0, 1.0, 8.0, 0.0, 0.0, 5.0, 12.0, 0.0, 0.0, 10.0, 0.0, 0.0, 0.0, 0.0, 15.0, 8.0, 7.0, 10.0, 0.0, 0.0, 0.0, 0.0, 4.0, 14.0, 14.0, 1.0, 0.0, 0.0], [0.0, 0.0, 1.0, 11.0, 15.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0, 2.0, 15.0, 15.0, 3.0, 0.0, 0.0], [0.0, 3.0, 16.0, 15.0, 6.0, 0.0, 0.0, 0.0, 0.0, 5.0, 14.0, 14.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 1.0, 14.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 8.0, 8.0, 10.0, 5.0, 0.0, 0.0, 4.0, 16.0, 16.0, 16.0, 14.0, 3.0, 0.0], [0.0, 2.0, 11.0, 14.0, 10.0, 1.0, 0.0, 0.0, 0.0, 6.0, 12.0, 8.0, 15.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 14.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 13.0, 8.0, 0.0, 0.0, 2.0, 5.0, 1.0, 2.0, 12.0, 7.0, 0.0, 0.0, 1.0, 12.0, 16.0, 16.0, 10.0, 0.0, 0.0], [0.0, 0.0, 0.0, 13.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 9.0, 0.0, 2.0, 0.0, 0.0, 0.0, 7.0, 15.0, 1.0, 5.0, 15.0, 1.0, 0.0, 0.0, 14.0, 10.0, 4.0, 11.0, 12.0, 3.0, 0.0, 2.0, 16.0, 16.0, 16.0, 16.0, 13.0, 2.0, 0.0, 0.0, 3.0, 4.0, 11.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 4.0, 0.0, 0.0, 0.0], [0.0, 2.0, 12.0, 13.0, 16.0, 16.0, 4.0, 0.0, 0.0, 11.0, 16.0, 13.0, 7.0, 4.0, 1.0, 0.0, 0.0, 13.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 15.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 7.0, 0.0, 0.0, 0.0, 0.0, 3.0, 5.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 3.0, 13.0, 15.0, 0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 11.0, 13.0, 5.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 13.0, 3.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 16.0, 13.0, 7.0, 0.0, 0.0, 0.0, 4.0, 16.0, 11.0, 8.0, 16.0, 2.0, 0.0, 0.0, 0.0, 15.0, 8.0, 0.0, 15.0, 6.0, 0.0, 0.0, 0.0, 9.0, 14.0, 4.0, 15.0, 4.0, 0.0, 0.0, 0.0, 1.0, 10.0, 16.0, 11.0, 1.0, 0.0], [0.0, 0.0, 8.0, 16.0, 16.0, 11.0, 0.0, 0.0, 0.0, 0.0, 4.0, 8.0, 13.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 8.0, 0.0, 0.0, 0.0, 0.0, 3.0, 12.0, 16.0, 8.0, 2.0, 0.0, 0.0, 0.0, 6.0, 16.0, 16.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 14.0, 8.0, 2.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 12.0, 0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 8.0, 14.0, 9.0, 0.0, 0.0, 0.0, 0.0, 9.0, 15.0, 16.0, 15.0, 0.0, 0.0, 0.0, 4.0, 15.0, 5.0, 8.0, 14.0, 0.0, 0.0, 0.0, 8.0, 14.0, 1.0, 14.0, 7.0, 0.0, 0.0, 0.0, 1.0, 15.0, 13.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 16.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 10.0, 15.0, 7.0, 0.0, 0.0, 0.0, 0.0, 2.0, 10.0, 16.0, 5.0, 0.0, 0.0], [0.0, 0.0, 2.0, 10.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 16.0, 14.0, 0.0, 0.0, 0.0, 0.0, 15.0, 10.0, 16.0, 16.0, 2.0, 0.0, 0.0, 0.0, 12.0, 16.0, 12.0, 13.0, 8.0, 0.0, 0.0, 0.0, 1.0, 7.0, 1.0, 10.0, 11.0, 0.0, 0.0, 5.0, 5.0, 0.0, 0.0, 8.0, 12.0, 0.0, 0.0, 3.0, 15.0, 10.0, 2.0, 11.0, 12.0, 0.0, 0.0, 0.0, 3.0, 10.0, 16.0, 16.0, 10.0, 0.0], [0.0, 0.0, 1.0, 13.0, 12.0, 5.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 4.0, 13.0, 2.0, 0.0, 0.0, 2.0, 16.0, 4.0, 0.0, 8.0, 5.0, 0.0, 0.0, 7.0, 12.0, 0.0, 0.0, 8.0, 8.0, 0.0, 0.0, 6.0, 12.0, 0.0, 0.0, 5.0, 8.0, 0.0, 0.0, 3.0, 16.0, 0.0, 0.0, 8.0, 7.0, 0.0, 0.0, 1.0, 15.0, 8.0, 6.0, 15.0, 3.0, 0.0, 0.0, 0.0, 2.0, 13.0, 15.0, 6.0, 0.0, 0.0], [0.0, 0.0, 2.0, 10.0, 10.0, 11.0, 0.0, 0.0, 0.0, 0.0, 10.0, 9.0, 9.0, 16.0, 0.0, 0.0, 0.0, 0.0, 14.0, 0.0, 6.0, 15.0, 0.0, 0.0, 0.0, 0.0, 11.0, 14.0, 9.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 3.0, 0.0, 0.0, 10.0, 9.0, 5.0, 0.0, 15.0, 1.0, 0.0, 0.0, 0.0, 2.0, 14.0, 16.0, 13.0, 0.0, 0.0], [0.0, 0.0, 13.0, 10.0, 8.0, 8.0, 7.0, 0.0, 0.0, 4.0, 16.0, 16.0, 16.0, 16.0, 15.0, 2.0, 0.0, 0.0, 10.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 15.0, 0.0, 0.0, 0.0, 0.0, 1.0, 6.0, 10.0, 12.0, 0.0, 0.0, 0.0, 0.0, 1.0, 13.0, 16.0, 5.0, 0.0, 0.0, 0.0], [0.0, 0.0, 6.0, 15.0, 16.0, 15.0, 11.0, 0.0, 0.0, 1.0, 15.0, 14.0, 8.0, 8.0, 7.0, 0.0, 0.0, 4.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 11.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 5.0, 0.0, 0.0, 0.0], [0.0, 0.0, 6.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 14.0, 11.0, 5.0, 0.0, 0.0, 0.0, 5.0, 16.0, 12.0, 11.0, 16.0, 6.0, 0.0, 0.0, 6.0, 16.0, 9.0, 2.0, 16.0, 9.0, 0.0, 0.0, 0.0, 13.0, 14.0, 8.0, 16.0, 8.0, 0.0, 0.0, 0.0, 4.0, 15.0, 16.0, 13.0, 2.0, 0.0], [0.0, 1.0, 12.0, 16.0, 16.0, 16.0, 12.0, 0.0, 0.0, 9.0, 16.0, 13.0, 6.0, 8.0, 5.0, 0.0, 0.0, 8.0, 16.0, 15.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 14.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 15.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 13.0, 2.0, 0.0, 0.0, 0.0], [0.0, 0.0, 2.0, 10.0, 15.0, 7.0, 0.0, 0.0, 0.0, 0.0, 14.0, 15.0, 7.0, 15.0, 2.0, 0.0, 0.0, 4.0, 16.0, 3.0, 0.0, 11.0, 4.0, 0.0, 0.0, 4.0, 14.0, 0.0, 0.0, 7.0, 8.0, 0.0, 0.0, 7.0, 12.0, 0.0, 0.0, 6.0, 7.0, 0.0, 0.0, 4.0, 16.0, 1.0, 0.0, 12.0, 4.0, 0.0, 0.0, 1.0, 14.0, 12.0, 10.0, 16.0, 1.0, 0.0, 0.0, 0.0, 1.0, 14.0, 13.0, 5.0, 0.0, 0.0], [0.0, 0.0, 3.0, 4.0, 10.0, 0.0, 0.0, 0.0, 0.0, 3.0, 15.0, 8.0, 14.0, 3.0, 0.0, 0.0, 0.0, 8.0, 7.0, 0.0, 10.0, 6.0, 0.0, 0.0, 0.0, 3.0, 11.0, 8.0, 15.0, 11.0, 0.0, 0.0, 0.0, 0.0, 1.0, 7.0, 3.0, 13.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 9.0, 0.0, 0.0, 0.0, 9.0, 6.0, 1.0, 0.0, 16.0, 0.0, 0.0, 0.0, 0.0, 3.0, 11.0, 16.0, 16.0, 3.0], [0.0, 0.0, 2.0, 12.0, 14.0, 8.0, 0.0, 0.0, 0.0, 0.0, 13.0, 13.0, 15.0, 12.0, 0.0, 0.0, 0.0, 5.0, 15.0, 2.0, 10.0, 6.0, 0.0, 0.0, 0.0, 2.0, 14.0, 13.0, 14.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 15.0, 13.0, 1.0, 0.0, 0.0, 0.0, 1.0, 15.0, 3.0, 14.0, 7.0, 0.0, 0.0, 0.0, 6.0, 13.0, 1.0, 16.0, 4.0, 0.0, 0.0, 0.0, 1.0, 12.0, 16.0, 11.0, 0.0, 0.0], [0.0, 0.0, 3.0, 14.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 13.0, 10.0, 6.0, 16.0, 7.0, 0.0, 0.0, 5.0, 16.0, 3.0, 2.0, 14.0, 6.0, 0.0, 0.0, 0.0, 10.0, 16.0, 16.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 4.0, 0.0, 0.0, 3.0, 11.0, 2.0, 5.0, 15.0, 0.0, 0.0, 0.0, 0.0, 4.0, 12.0, 16.0, 10.0, 0.0, 0.0], [0.0, 0.0, 2.0, 10.0, 14.0, 9.0, 0.0, 0.0, 0.0, 2.0, 14.0, 11.0, 12.0, 16.0, 0.0, 0.0, 0.0, 4.0, 16.0, 1.0, 0.0, 15.0, 0.0, 0.0, 0.0, 2.0, 13.0, 12.0, 7.0, 13.0, 0.0, 0.0, 0.0, 0.0, 1.0, 8.0, 16.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 14.0, 15.0, 4.0, 0.0, 0.0, 0.0, 0.0, 13.0, 7.0, 14.0, 4.0, 0.0, 0.0, 0.0, 0.0, 14.0, 15.0, 10.0, 0.0, 0.0], [0.0, 0.0, 0.0, 3.0, 15.0, 5.0, 0.0, 0.0, 0.0, 0.0, 1.0, 15.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 15.0, 2.0, 3.0, 0.0, 0.0, 0.0, 5.0, 16.0, 4.0, 6.0, 16.0, 1.0, 0.0, 0.0, 10.0, 15.0, 4.0, 9.0, 16.0, 2.0, 0.0, 0.0, 12.0, 16.0, 16.0, 16.0, 13.0, 2.0, 0.0, 0.0, 1.0, 4.0, 7.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 15.0, 0.0, 0.0, 0.0], [0.0, 0.0, 4.0, 10.0, 11.0, 4.0, 0.0, 0.0, 0.0, 1.0, 11.0, 16.0, 16.0, 14.0, 0.0, 0.0, 0.0, 4.0, 16.0, 16.0, 16.0, 12.0, 0.0, 0.0, 0.0, 4.0, 16.0, 16.0, 16.0, 7.0, 0.0, 0.0, 0.0, 4.0, 16.0, 16.0, 16.0, 8.0, 0.0, 0.0, 0.0, 4.0, 16.0, 16.0, 16.0, 7.0, 0.0, 0.0, 0.0, 3.0, 15.0, 16.0, 16.0, 12.0, 0.0, 0.0, 0.0, 0.0, 5.0, 12.0, 12.0, 12.0, 1.0, 0.0], [0.0, 0.0, 13.0, 16.0, 15.0, 2.0, 0.0, 0.0, 0.0, 5.0, 14.0, 5.0, 15.0, 7.0, 0.0, 0.0, 0.0, 0.0, 2.0, 0.0, 12.0, 7.0, 0.0, 0.0, 0.0, 0.0, 5.0, 9.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 16.0, 16.0, 10.0, 0.0, 0.0, 0.0, 2.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 7.0, 0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 3.0, 15.0, 16.0, 15.0, 1.0, 0.0, 0.0, 0.0, 9.0, 11.0, 9.0, 16.0, 3.0, 0.0, 0.0, 0.0, 1.0, 0.0, 3.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 14.0, 0.0, 0.0, 0.0, 0.0, 4.0, 15.0, 15.0, 16.0, 6.0, 0.0, 0.0, 0.0, 2.0, 12.0, 15.0, 7.0, 1.0, 0.0, 0.0, 0.0, 0.0, 13.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 14.0, 1.0, 0.0, 0.0, 0.0], [0.0, 1.0, 11.0, 16.0, 13.0, 4.0, 0.0, 0.0, 0.0, 1.0, 15.0, 7.0, 14.0, 14.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 15.0, 1.0, 0.0, 0.0, 0.0, 1.0, 10.0, 15.0, 6.0, 0.0, 0.0, 0.0, 0.0, 5.0, 15.0, 14.0, 7.0, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 5.0, 16.0, 3.0, 0.0, 0.0, 5.0, 11.0, 1.0, 1.0, 16.0, 4.0, 0.0, 0.0, 0.0, 10.0, 15.0, 16.0, 10.0, 1.0, 0.0], [0.0, 0.0, 9.0, 16.0, 16.0, 16.0, 10.0, 0.0, 0.0, 4.0, 16.0, 14.0, 8.0, 11.0, 11.0, 0.0, 0.0, 11.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 15.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 14.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 13.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 16.0, 7.0, 0.0, 0.0, 0.0], [0.0, 0.0, 5.0, 14.0, 12.0, 5.0, 0.0, 0.0, 0.0, 0.0, 13.0, 16.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 13.0, 16.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 16.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 13.0, 16.0, 8.0, 0.0, 0.0], [0.0, 0.0, 6.0, 15.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 16.0, 13.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 16.0, 16.0, 7.0, 0.0, 0.0, 1.0, 16.0, 8.0, 0.0, 11.0, 8.0, 0.0, 0.0, 7.0, 14.0, 1.0, 0.0, 10.0, 8.0, 0.0, 0.0, 8.0, 12.0, 0.0, 0.0, 13.0, 4.0, 0.0, 0.0, 5.0, 16.0, 8.0, 9.0, 13.0, 0.0, 0.0, 0.0, 0.0, 6.0, 12.0, 13.0, 5.0, 0.0, 0.0], [0.0, 0.0, 2.0, 13.0, 15.0, 7.0, 1.0, 0.0, 0.0, 0.0, 7.0, 16.0, 15.0, 16.0, 10.0, 0.0, 0.0, 0.0, 14.0, 16.0, 10.0, 10.0, 10.0, 0.0, 0.0, 2.0, 16.0, 3.0, 0.0, 8.0, 8.0, 0.0, 0.0, 5.0, 13.0, 0.0, 0.0, 9.0, 8.0, 0.0, 0.0, 6.0, 13.0, 0.0, 0.0, 12.0, 3.0, 0.0, 0.0, 2.0, 16.0, 6.0, 9.0, 10.0, 0.0, 0.0, 0.0, 0.0, 3.0, 14.0, 14.0, 1.0, 0.0, 0.0], [0.0, 0.0, 12.0, 16.0, 12.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 12.0, 16.0, 3.0, 0.0, 0.0, 0.0, 1.0, 8.0, 4.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 15.0, 8.0, 8.0, 2.0, 0.0, 0.0, 0.0, 12.0, 16.0, 16.0, 12.0, 1.0, 0.0], [0.0, 3.0, 15.0, 15.0, 2.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 1.0, 9.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 15.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 13.0, 15.0, 15.0, 5.0, 0.0, 0.0, 4.0, 16.0, 16.0, 16.0, 13.0, 3.0, 0.0], [0.0, 0.0, 10.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 1.0, 10.0, 14.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 11.0, 13.0, 3.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 16.0, 16.0, 7.0, 0.0, 0.0, 0.0, 3.0, 16.0, 4.0, 5.0, 1.0, 0.0, 0.0, 0.0, 7.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 6.0, 0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 9.0, 13.0, 10.0, 1.0, 0.0, 0.0, 0.0, 9.0, 12.0, 4.0, 15.0, 5.0, 0.0, 0.0, 0.0, 16.0, 4.0, 0.0, 12.0, 4.0, 0.0, 0.0, 3.0, 15.0, 9.0, 3.0, 14.0, 1.0, 0.0, 0.0, 0.0, 2.0, 9.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 14.0, 15.0, 2.0, 0.0, 0.0, 0.0, 0.0, 10.0, 8.0, 14.0, 3.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 12.0, 0.0, 0.0], [0.0, 3.0, 15.0, 16.0, 14.0, 1.0, 0.0, 0.0, 0.0, 2.0, 12.0, 13.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 1.0, 15.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 2.0, 15.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 11.0, 8.0, 11.0, 3.0, 0.0, 0.0, 3.0, 16.0, 16.0, 16.0, 12.0, 3.0, 0.0], [0.0, 0.0, 7.0, 15.0, 14.0, 8.0, 0.0, 0.0, 0.0, 1.0, 15.0, 7.0, 5.0, 14.0, 5.0, 0.0, 0.0, 0.0, 15.0, 8.0, 0.0, 10.0, 7.0, 0.0, 0.0, 3.0, 16.0, 6.0, 0.0, 12.0, 8.0, 0.0, 0.0, 5.0, 16.0, 2.0, 0.0, 12.0, 8.0, 0.0, 0.0, 4.0, 16.0, 3.0, 1.0, 16.0, 4.0, 0.0, 0.0, 5.0, 16.0, 10.0, 14.0, 12.0, 0.0, 0.0, 0.0, 0.0, 8.0, 15.0, 15.0, 2.0, 0.0, 0.0], [0.0, 0.0, 14.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 3.0, 10.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 14.0, 16.0, 11.0, 6.0, 0.0, 0.0, 0.0, 12.0, 16.0, 16.0, 16.0, 16.0, 9.0], [0.0, 1.0, 12.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 7.0, 15.0, 14.0, 11.0, 0.0, 0.0, 0.0, 0.0, 8.0, 13.0, 10.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 12.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 8.0, 4.0, 0.0, 0.0, 0.0, 0.0, 13.0, 16.0, 16.0, 16.0, 9.0, 0.0, 0.0, 2.0, 16.0, 13.0, 11.0, 9.0, 3.0, 0.0], [0.0, 0.0, 0.0, 13.0, 13.0, 3.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 16.0, 14.0, 8.0, 1.0, 0.0, 0.0, 4.0, 16.0, 16.0, 6.0, 16.0, 9.0, 0.0, 0.0, 0.0, 8.0, 16.0, 11.0, 16.0, 10.0, 0.0, 0.0, 0.0, 1.0, 14.0, 16.0, 13.0, 1.0, 0.0], [0.0, 1.0, 8.0, 14.0, 15.0, 2.0, 0.0, 0.0, 0.0, 2.0, 13.0, 9.0, 14.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 9.0, 0.0, 0.0, 0.0, 0.0, 2.0, 13.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 15.0, 16.0, 6.0, 0.0, 0.0, 0.0, 1.0, 1.0, 0.0, 12.0, 14.0, 0.0, 0.0, 0.0, 5.0, 13.0, 5.0, 6.0, 16.0, 1.0, 0.0, 0.0, 1.0, 9.0, 12.0, 13.0, 9.0, 0.0, 0.0], [0.0, 0.0, 15.0, 16.0, 13.0, 6.0, 0.0, 0.0, 0.0, 0.0, 12.0, 12.0, 14.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 9.0, 0.0, 0.0, 0.0, 0.0, 1.0, 11.0, 15.0, 2.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 16.0, 12.0, 1.0, 0.0, 0.0, 1.0, 8.0, 4.0, 9.0, 16.0, 3.0, 0.0, 0.0, 5.0, 14.0, 7.0, 10.0, 15.0, 1.0, 0.0, 0.0, 2.0, 12.0, 16.0, 14.0, 6.0, 0.0, 0.0], [0.0, 0.0, 10.0, 16.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 5.0, 8.0, 13.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 13.0, 12.0, 0.0, 0.0, 0.0, 0.0, 2.0, 15.0, 16.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 13.0, 13.0, 5.0, 1.0, 0.0, 0.0, 0.0, 1.0, 14.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 13.0, 1.0, 0.0, 0.0, 0.0], [0.0, 0.0, 7.0, 16.0, 16.0, 16.0, 10.0, 0.0, 0.0, 0.0, 10.0, 10.0, 5.0, 12.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 7.0, 15.0, 6.0, 0.0, 0.0, 0.0, 1.0, 13.0, 16.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 12.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 6.0, 0.0, 0.0, 0.0, 2.0, 9.0, 11.0, 14.0, 1.0, 0.0, 0.0, 0.0, 5.0, 16.0, 15.0, 5.0, 0.0, 0.0], [0.0, 0.0, 8.0, 16.0, 16.0, 16.0, 3.0, 0.0, 0.0, 0.0, 6.0, 8.0, 8.0, 15.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 5.0, 0.0, 0.0, 0.0, 1.0, 10.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 16.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 13.0, 16.0, 5.0, 0.0, 0.0, 0.0, 7.0, 8.0, 11.0, 16.0, 2.0, 0.0, 0.0, 0.0, 6.0, 16.0, 16.0, 11.0, 0.0, 0.0], [0.0, 0.0, 0.0, 8.0, 15.0, 2.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 13.0, 6.0, 11.0, 0.0, 0.0, 0.0, 6.0, 16.0, 3.0, 13.0, 13.0, 2.0, 0.0, 0.0, 14.0, 16.0, 8.0, 15.0, 16.0, 10.0, 0.0, 0.0, 12.0, 16.0, 16.0, 16.0, 11.0, 1.0, 0.0, 0.0, 0.0, 1.0, 6.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 14.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 8.0, 13.0, 2.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 13.0, 3.0, 0.0, 0.0, 0.0, 1.0, 15.0, 14.0, 1.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 11.0, 4.0, 1.0, 0.0, 0.0, 0.0, 3.0, 16.0, 16.0, 14.0, 15.0, 2.0, 0.0, 0.0, 2.0, 16.0, 13.0, 1.0, 16.0, 9.0, 0.0, 0.0, 0.0, 9.0, 15.0, 9.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 13.0, 2.0, 0.0], [0.0, 0.0, 8.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 16.0, 9.0, 4.0, 0.0, 0.0, 0.0, 5.0, 16.0, 14.0, 11.0, 16.0, 5.0, 0.0, 0.0, 2.0, 16.0, 16.0, 0.0, 12.0, 8.0, 0.0, 0.0, 0.0, 15.0, 15.0, 1.0, 15.0, 6.0, 0.0, 0.0, 0.0, 7.0, 14.0, 16.0, 13.0, 1.0, 0.0], [0.0, 0.0, 1.0, 13.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 14.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 13.0, 8.0, 5.0, 0.0, 0.0, 0.0, 2.0, 15.0, 15.0, 12.0, 15.0, 5.0, 0.0, 0.0, 7.0, 16.0, 4.0, 0.0, 12.0, 8.0, 0.0, 0.0, 2.0, 15.0, 7.0, 0.0, 12.0, 6.0, 0.0, 0.0, 0.0, 5.0, 15.0, 5.0, 15.0, 5.0, 0.0, 0.0, 0.0, 0.0, 13.0, 16.0, 9.0, 0.0, 0.0], [0.0, 0.0, 0.0, 10.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 1.0, 14.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 3.0, 11.0, 7.0, 0.0, 0.0, 0.0, 12.0, 16.0, 8.0, 16.0, 9.0, 1.0, 0.0, 0.0, 10.0, 16.0, 16.0, 16.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 11.0, 0.0, 0.0, 0.0], [0.0, 0.0, 1.0, 7.0, 13.0, 10.0, 0.0, 0.0, 0.0, 2.0, 13.0, 14.0, 14.0, 16.0, 4.0, 0.0, 0.0, 4.0, 16.0, 5.0, 12.0, 16.0, 2.0, 0.0, 0.0, 0.0, 6.0, 11.0, 12.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 8.0, 0.0, 0.0, 1.0, 1.0, 0.0, 0.0, 13.0, 11.0, 0.0, 0.0, 0.0, 12.0, 8.0, 4.0, 13.0, 8.0, 0.0, 0.0, 0.0, 0.0, 7.0, 15.0, 16.0, 10.0, 0.0], [0.0, 0.0, 5.0, 12.0, 10.0, 4.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 16.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 16.0, 16.0, 16.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 16.0, 13.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 16.0, 12.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 8.0, 12.0, 12.0, 4.0, 0.0, 0.0], [0.0, 0.0, 7.0, 13.0, 8.0, 6.0, 0.0, 0.0, 0.0, 0.0, 16.0, 15.0, 16.0, 14.0, 10.0, 0.0, 0.0, 4.0, 16.0, 13.0, 1.0, 0.0, 0.0, 0.0, 0.0, 1.0, 10.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 11.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 3.0, 0.0, 0.0, 0.0], [0.0, 0.0, 2.0, 16.0, 15.0, 5.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 14.0, 15.0, 0.0, 0.0, 0.0, 0.0, 15.0, 10.0, 0.0, 16.0, 7.0, 0.0, 0.0, 4.0, 16.0, 1.0, 0.0, 12.0, 5.0, 0.0, 0.0, 4.0, 15.0, 0.0, 0.0, 12.0, 5.0, 0.0, 0.0, 5.0, 16.0, 6.0, 0.0, 16.0, 0.0, 0.0, 0.0, 0.0, 14.0, 13.0, 8.0, 15.0, 0.0, 0.0, 0.0, 0.0, 3.0, 14.0, 16.0, 6.0, 0.0, 0.0], [0.0, 0.0, 7.0, 13.0, 4.0, 1.0, 0.0, 0.0, 0.0, 1.0, 15.0, 13.0, 15.0, 11.0, 0.0, 0.0, 0.0, 7.0, 16.0, 1.0, 13.0, 16.0, 4.0, 0.0, 0.0, 3.0, 16.0, 12.0, 16.0, 16.0, 7.0, 0.0, 0.0, 0.0, 4.0, 11.0, 5.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 5.0, 0.0, 0.0, 0.0, 12.0, 6.0, 9.0, 14.0, 1.0, 0.0, 0.0, 0.0, 6.0, 13.0, 16.0, 5.0, 0.0, 0.0], [0.0, 2.0, 13.0, 13.0, 11.0, 9.0, 0.0, 0.0, 0.0, 10.0, 16.0, 16.0, 16.0, 15.0, 10.0, 0.0, 0.0, 11.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 15.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 11.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 11.0, 11.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 15.0, 4.0, 0.0, 0.0, 0.0], [0.0, 5.0, 16.0, 15.0, 5.0, 0.0, 0.0, 0.0, 0.0, 2.0, 12.0, 15.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 14.0, 2.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 16.0, 11.0, 8.0, 8.0, 3.0, 0.0, 0.0, 6.0, 16.0, 16.0, 16.0, 16.0, 7.0, 0.0], [0.0, 0.0, 11.0, 14.0, 10.0, 1.0, 0.0, 0.0, 0.0, 0.0, 16.0, 15.0, 14.0, 13.0, 0.0, 0.0, 0.0, 1.0, 14.0, 8.0, 3.0, 16.0, 2.0, 0.0, 0.0, 0.0, 7.0, 16.0, 13.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 12.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 1.0, 14.0, 16.0, 12.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 15.0, 16.0, 0.0, 0.0, 0.0, 0.0, 7.0, 14.0, 15.0, 11.0, 0.0, 0.0], [0.0, 4.0, 16.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0, 6.0, 14.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 16.0, 12.0, 10.0, 5.0, 0.0, 0.0, 3.0, 16.0, 16.0, 16.0, 16.0, 8.0, 0.0], [0.0, 0.0, 4.0, 12.0, 14.0, 5.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 16.0, 16.0, 3.0, 0.0, 0.0, 3.0, 16.0, 14.0, 2.0, 16.0, 7.0, 0.0, 0.0, 8.0, 16.0, 7.0, 0.0, 16.0, 6.0, 0.0, 0.0, 4.0, 16.0, 4.0, 3.0, 16.0, 4.0, 0.0, 0.0, 4.0, 16.0, 5.0, 10.0, 14.0, 0.0, 0.0, 0.0, 0.0, 14.0, 16.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 4.0, 14.0, 14.0, 2.0, 0.0, 0.0], [0.0, 0.0, 9.0, 9.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 15.0, 14.0, 12.0, 0.0, 0.0, 0.0, 3.0, 10.0, 1.0, 0.0, 12.0, 5.0, 0.0, 0.0, 5.0, 8.0, 0.0, 0.0, 8.0, 6.0, 0.0, 0.0, 8.0, 8.0, 0.0, 0.0, 8.0, 8.0, 0.0, 0.0, 5.0, 8.0, 0.0, 0.0, 10.0, 6.0, 0.0, 0.0, 4.0, 13.0, 4.0, 6.0, 13.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 14.0, 3.0, 0.0, 0.0], [0.0, 1.0, 13.0, 13.0, 10.0, 0.0, 0.0, 0.0, 0.0, 1.0, 13.0, 16.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 16.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 16.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 16.0, 13.0, 1.0, 0.0, 0.0, 0.0, 0.0, 15.0, 16.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 16.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 14.0, 16.0, 15.0, 8.0, 1.0, 0.0], [0.0, 0.0, 2.0, 15.0, 15.0, 4.0, 0.0, 0.0, 0.0, 0.0, 11.0, 10.0, 14.0, 9.0, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 11.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 15.0, 4.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 16.0, 14.0, 6.0, 0.0, 0.0, 0.0, 0.0, 8.0, 13.0, 6.0, 1.0, 0.0, 0.0, 0.0, 0.0, 9.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 15.0, 2.0, 0.0, 0.0, 0.0], [0.0, 0.0, 2.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 16.0, 16.0, 14.0, 2.0, 0.0, 0.0, 8.0, 16.0, 7.0, 4.0, 16.0, 8.0, 0.0, 0.0, 1.0, 16.0, 9.0, 6.0, 16.0, 4.0, 0.0, 0.0, 0.0, 3.0, 12.0, 16.0, 12.0, 0.0, 0.0], [0.0, 0.0, 6.0, 12.0, 16.0, 10.0, 0.0, 0.0, 0.0, 4.0, 15.0, 8.0, 12.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 14.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 15.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 15.0, 5.0, 0.0, 0.0, 0.0, 1.0, 4.0, 5.0, 15.0, 8.0, 0.0, 0.0, 0.0, 5.0, 16.0, 14.0, 9.0, 1.0, 0.0], [0.0, 0.0, 9.0, 16.0, 16.0, 13.0, 1.0, 0.0, 0.0, 0.0, 12.0, 13.0, 14.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 14.0, 1.0, 0.0, 0.0, 0.0, 1.0, 10.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 2.0, 15.0, 16.0, 12.0, 7.0, 0.0, 0.0, 0.0, 0.0, 9.0, 14.0, 16.0, 16.0, 2.0, 0.0], [0.0, 0.0, 2.0, 14.0, 15.0, 4.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 16.0, 11.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 14.0, 16.0, 14.0, 2.0, 0.0, 0.0, 0.0, 4.0, 16.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 3.0, 15.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 15.0, 13.0, 2.0, 0.0, 0.0], [0.0, 0.0, 5.0, 16.0, 16.0, 16.0, 9.0, 0.0, 0.0, 0.0, 1.0, 6.0, 4.0, 12.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 9.0, 0.0, 0.0, 0.0, 4.0, 6.0, 11.0, 16.0, 1.0, 0.0, 0.0, 0.0, 15.0, 16.0, 16.0, 16.0, 9.0, 0.0, 0.0, 0.0, 2.0, 10.0, 11.0, 0.0, 1.0, 0.0, 0.0, 0.0, 2.0, 15.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 10.0, 0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 1.0, 15.0, 4.0, 0.0, 0.0, 0.0, 0.0, 1.0, 13.0, 14.0, 1.0, 0.0, 0.0, 0.0, 0.0, 9.0, 15.0, 5.0, 7.0, 7.0, 0.0, 0.0, 4.0, 16.0, 6.0, 1.0, 16.0, 8.0, 0.0, 0.0, 14.0, 15.0, 0.0, 6.0, 16.0, 2.0, 0.0, 0.0, 11.0, 16.0, 13.0, 14.0, 16.0, 4.0, 0.0, 0.0, 0.0, 5.0, 8.0, 15.0, 14.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 12.0, 0.0, 0.0], [0.0, 0.0, 2.0, 13.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 16.0, 16.0, 11.0, 0.0, 0.0, 0.0, 3.0, 16.0, 10.0, 3.0, 15.0, 8.0, 0.0, 0.0, 0.0, 16.0, 8.0, 0.0, 13.0, 10.0, 0.0, 0.0, 0.0, 12.0, 15.0, 1.0, 15.0, 9.0, 0.0, 0.0, 0.0, 2.0, 11.0, 16.0, 16.0, 2.0, 0.0], [0.0, 1.0, 11.0, 14.0, 9.0, 1.0, 0.0, 0.0, 0.0, 3.0, 16.0, 8.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 1.0, 14.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 14.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 4.0, 0.0, 0.0, 1.0, 3.0, 1.0, 8.0, 16.0, 4.0, 0.0, 0.0, 3.0, 10.0, 16.0, 16.0, 8.0, 0.0, 0.0], [0.0, 0.0, 0.0, 12.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 10.0, 0.0, 0.0, 0.0], [0.0, 0.0, 10.0, 16.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 9.0, 8.0, 13.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 15.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 13.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 4.0, 0.0, 0.0, 0.0, 7.0, 3.0, 5.0, 16.0, 2.0, 0.0, 0.0, 0.0, 11.0, 16.0, 16.0, 10.0, 0.0, 0.0], [0.0, 0.0, 1.0, 9.0, 13.0, 11.0, 0.0, 0.0, 0.0, 0.0, 10.0, 11.0, 12.0, 16.0, 1.0, 0.0, 0.0, 0.0, 15.0, 4.0, 12.0, 16.0, 1.0, 0.0, 0.0, 0.0, 12.0, 16.0, 11.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 14.0, 0.0, 0.0, 0.0, 4.0, 12.0, 8.0, 10.0, 11.0, 0.0, 0.0, 0.0, 0.0, 2.0, 9.0, 16.0, 6.0, 0.0, 0.0], [0.0, 0.0, 4.0, 16.0, 15.0, 7.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 2.0, 12.0, 16.0, 3.0, 0.0, 0.0], [0.0, 0.0, 6.0, 16.0, 15.0, 2.0, 0.0, 0.0, 0.0, 0.0, 7.0, 13.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 1.0, 10.0, 16.0, 6.0, 1.0, 0.0, 0.0, 0.0, 9.0, 16.0, 16.0, 16.0, 8.0, 0.0, 0.0, 0.0, 1.0, 16.0, 8.0, 4.0, 0.0, 0.0, 0.0, 0.0, 5.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 7.0, 0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 11.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 15.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 14.0, 8.0, 1.0, 0.0, 0.0, 0.0, 5.0, 16.0, 10.0, 10.0, 14.0, 1.0, 0.0, 0.0, 2.0, 15.0, 3.0, 0.0, 12.0, 7.0, 0.0, 0.0, 0.0, 10.0, 13.0, 1.0, 10.0, 11.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 15.0, 5.0, 0.0], [0.0, 0.0, 2.0, 13.0, 15.0, 1.0, 0.0, 0.0, 0.0, 1.0, 14.0, 13.0, 15.0, 4.0, 0.0, 0.0, 0.0, 5.0, 14.0, 2.0, 15.0, 0.0, 0.0, 0.0, 0.0, 6.0, 14.0, 8.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 12.0, 1.0, 0.0, 0.0, 0.0, 0.0, 1.0, 15.0, 10.0, 13.0, 1.0, 0.0, 0.0, 0.0, 4.0, 13.0, 4.0, 13.0, 6.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 14.0, 1.0, 0.0], [0.0, 0.0, 0.0, 6.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 10.0, 1.0, 2.0, 0.0, 0.0, 0.0, 6.0, 16.0, 4.0, 12.0, 10.0, 0.0, 0.0, 0.0, 14.0, 11.0, 0.0, 16.0, 8.0, 0.0, 0.0, 4.0, 16.0, 16.0, 16.0, 16.0, 10.0, 0.0, 0.0, 1.0, 11.0, 12.0, 12.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 4.0, 0.0, 0.0], [0.0, 0.0, 7.0, 15.0, 15.0, 2.0, 0.0, 0.0, 0.0, 0.0, 13.0, 6.0, 12.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 15.0, 12.0, 0.0, 0.0, 0.0, 3.0, 7.0, 0.0, 2.0, 15.0, 1.0, 0.0, 0.0, 2.0, 15.0, 6.0, 6.0, 16.0, 1.0, 0.0, 0.0, 0.0, 4.0, 15.0, 16.0, 7.0, 0.0, 0.0], [0.0, 0.0, 4.0, 14.0, 11.0, 3.0, 0.0, 0.0, 0.0, 0.0, 1.0, 15.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 1.0, 14.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 15.0, 14.0, 4.0, 0.0, 0.0], [0.0, 0.0, 0.0, 1.0, 13.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 14.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 12.0, 0.0, 12.0, 7.0, 0.0, 0.0, 0.0, 12.0, 14.0, 6.0, 16.0, 14.0, 1.0, 0.0, 0.0, 6.0, 16.0, 16.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 14.0, 0.0, 0.0, 0.0], [0.0, 0.0, 7.0, 13.0, 8.0, 4.0, 0.0, 0.0, 0.0, 1.0, 15.0, 11.0, 9.0, 15.0, 2.0, 0.0, 0.0, 4.0, 16.0, 6.0, 0.0, 8.0, 7.0, 0.0, 0.0, 4.0, 10.0, 0.0, 0.0, 7.0, 8.0, 0.0, 0.0, 4.0, 10.0, 0.0, 0.0, 8.0, 8.0, 0.0, 0.0, 5.0, 12.0, 0.0, 0.0, 12.0, 5.0, 0.0, 0.0, 3.0, 15.0, 5.0, 9.0, 14.0, 2.0, 0.0, 0.0, 0.0, 8.0, 14.0, 12.0, 3.0, 0.0, 0.0], [0.0, 0.0, 13.0, 15.0, 11.0, 12.0, 11.0, 0.0, 0.0, 4.0, 16.0, 15.0, 16.0, 13.0, 9.0, 1.0, 0.0, 3.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 14.0, 1.0, 0.0, 0.0, 0.0, 1.0, 1.0, 7.0, 16.0, 2.0, 0.0, 0.0, 0.0, 8.0, 12.0, 11.0, 16.0, 3.0, 0.0, 0.0, 0.0, 1.0, 13.0, 16.0, 12.0, 0.0, 0.0, 0.0], [0.0, 0.0, 6.0, 12.0, 13.0, 12.0, 0.0, 0.0, 0.0, 0.0, 14.0, 12.0, 7.0, 16.0, 1.0, 0.0, 0.0, 0.0, 6.0, 6.0, 14.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 11.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 14.0, 1.0, 0.0, 0.0, 0.0, 10.0, 8.0, 3.0, 16.0, 1.0, 0.0, 0.0, 0.0, 4.0, 14.0, 16.0, 12.0, 0.0, 0.0], [0.0, 0.0, 0.0, 7.0, 13.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 14.0, 2.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 1.0, 11.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 16.0, 15.0, 12.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 1.0, 13.0, 7.0, 0.0, 0.0, 0.0, 4.0, 16.0, 6.0, 15.0, 5.0, 0.0, 0.0, 0.0, 0.0, 6.0, 14.0, 14.0, 1.0, 0.0], [0.0, 0.0, 2.0, 14.0, 13.0, 8.0, 0.0, 0.0, 0.0, 0.0, 12.0, 13.0, 12.0, 13.0, 0.0, 0.0, 0.0, 0.0, 11.0, 6.0, 6.0, 16.0, 4.0, 0.0, 0.0, 0.0, 5.0, 16.0, 15.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 2.0, 4.0, 11.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 9.0, 0.0, 0.0, 2.0, 13.0, 7.0, 1.0, 11.0, 10.0, 0.0, 0.0, 0.0, 2.0, 10.0, 15.0, 16.0, 2.0, 0.0], [0.0, 0.0, 1.0, 12.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 15.0, 5.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 12.0, 8.0, 14.0, 14.0, 3.0, 0.0, 0.0, 4.0, 16.0, 16.0, 9.0, 12.0, 8.0, 0.0, 0.0, 0.0, 13.0, 8.0, 0.0, 11.0, 8.0, 0.0, 0.0, 0.0, 1.0, 14.0, 16.0, 11.0, 1.0, 0.0], [0.0, 0.0, 1.0, 8.0, 10.0, 8.0, 3.0, 0.0, 0.0, 0.0, 1.0, 16.0, 16.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 14.0, 16.0, 16.0, 3.0, 0.0, 0.0, 0.0, 1.0, 16.0, 16.0, 15.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 15.0, 4.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 8.0, 8.0, 1.0, 0.0, 0.0], [0.0, 0.0, 12.0, 16.0, 14.0, 4.0, 0.0, 0.0, 0.0, 0.0, 8.0, 14.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 10.0, 0.0, 0.0, 0.0, 2.0, 15.0, 16.0, 16.0, 13.0, 3.0, 0.0, 0.0, 1.0, 8.0, 12.0, 15.0, 12.0, 4.0, 0.0, 0.0, 0.0, 2.0, 15.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 13.0, 0.0, 0.0, 0.0, 0.0], [0.0, 1.0, 15.0, 16.0, 16.0, 16.0, 5.0, 0.0, 0.0, 7.0, 16.0, 16.0, 12.0, 9.0, 1.0, 0.0, 0.0, 13.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 15.0, 11.0, 0.0, 0.0, 0.0, 0.0, 1.0, 4.0, 14.0, 12.0, 0.0, 0.0, 0.0, 0.0, 3.0, 15.0, 16.0, 6.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 8.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 15.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 10.0, 0.0, 1.0, 0.0, 0.0, 0.0, 4.0, 16.0, 4.0, 11.0, 11.0, 0.0, 0.0, 0.0, 11.0, 15.0, 2.0, 14.0, 10.0, 1.0, 0.0, 0.0, 13.0, 16.0, 16.0, 16.0, 13.0, 1.0, 0.0, 0.0, 0.0, 4.0, 12.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 9.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 5.0, 15.0, 4.0, 0.0, 0.0, 0.0, 0.0, 1.0, 15.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 14.0, 2.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 7.0, 7.0, 10.0, 0.0, 0.0, 0.0, 12.0, 16.0, 16.0, 16.0, 12.0, 0.0, 0.0, 0.0, 11.0, 12.0, 14.0, 16.0, 14.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 6.0, 0.0, 0.0], [0.0, 0.0, 5.0, 16.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 6.0, 9.0, 13.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 12.0, 0.0, 0.0, 0.0, 0.0, 1.0, 6.0, 13.0, 8.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 16.0, 15.0, 6.0, 0.0, 0.0, 0.0, 1.0, 11.0, 14.0, 8.0, 2.0, 0.0, 0.0, 0.0, 0.0, 13.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 2.0, 0.0, 0.0, 0.0], [0.0, 5.0, 16.0, 12.0, 1.0, 0.0, 0.0, 0.0, 0.0, 5.0, 14.0, 15.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 2.0, 14.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 9.0, 8.0, 8.0, 3.0, 0.0, 0.0, 8.0, 16.0, 16.0, 16.0, 16.0, 4.0, 0.0], [0.0, 0.0, 1.0, 8.0, 14.0, 14.0, 2.0, 0.0, 0.0, 1.0, 13.0, 16.0, 16.0, 16.0, 5.0, 0.0, 0.0, 7.0, 16.0, 10.0, 10.0, 16.0, 4.0, 0.0, 0.0, 3.0, 16.0, 14.0, 15.0, 12.0, 0.0, 0.0, 0.0, 0.0, 3.0, 12.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 15.0, 16.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 12.0, 2.0, 0.0], [0.0, 0.0, 4.0, 12.0, 16.0, 16.0, 4.0, 0.0, 0.0, 0.0, 9.0, 7.0, 4.0, 14.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 1.0, 13.0, 6.0, 0.0, 0.0, 0.0, 0.0, 1.0, 12.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 9.0, 5.0, 0.0, 0.0, 0.0, 0.0, 3.0, 12.0, 13.0, 9.0, 0.0, 0.0], [0.0, 0.0, 10.0, 15.0, 13.0, 1.0, 0.0, 0.0, 0.0, 4.0, 16.0, 7.0, 13.0, 7.0, 0.0, 0.0, 0.0, 2.0, 11.0, 0.0, 12.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 15.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 7.0, 7.0, 13.0, 3.0, 0.0, 0.0, 0.0, 10.0, 16.0, 12.0, 3.0, 0.0, 0.0], [0.0, 1.0, 13.0, 16.0, 16.0, 16.0, 12.0, 1.0, 0.0, 6.0, 16.0, 14.0, 12.0, 11.0, 5.0, 0.0, 0.0, 2.0, 15.0, 15.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 14.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 7.0, 10.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 15.0, 16.0, 10.0, 0.0, 0.0, 0.0], [0.0, 0.0, 6.0, 16.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 13.0, 12.0, 15.0, 10.0, 0.0, 0.0, 0.0, 0.0, 3.0, 6.0, 13.0, 9.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 16.0, 15.0, 6.0, 0.0, 0.0, 0.0, 1.0, 9.0, 14.0, 8.0, 5.0, 0.0, 0.0, 0.0, 0.0, 11.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 10.0, 0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 2.0, 10.0, 13.0, 12.0, 3.0, 0.0, 0.0, 0.0, 11.0, 13.0, 8.0, 16.0, 7.0, 0.0, 0.0, 0.0, 12.0, 9.0, 9.0, 16.0, 8.0, 0.0, 0.0, 0.0, 6.0, 10.0, 13.0, 14.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 8.0, 0.0, 0.0, 8.0, 1.0, 0.0, 0.0, 15.0, 2.0, 0.0, 0.0, 4.0, 14.0, 9.0, 4.0, 16.0, 0.0, 0.0, 0.0, 0.0, 2.0, 12.0, 16.0, 14.0, 0.0, 0.0], [0.0, 1.0, 12.0, 12.0, 15.0, 16.0, 7.0, 0.0, 0.0, 7.0, 16.0, 16.0, 13.0, 6.0, 1.0, 0.0, 0.0, 12.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 14.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 8.0, 0.0, 0.0, 0.0, 0.0, 5.0, 7.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 3.0, 15.0, 16.0, 5.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 9.0, 14.0, 1.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 14.0, 1.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 4.0, 2.0, 1.0, 0.0, 0.0, 0.0, 12.0, 13.0, 1.0, 14.0, 8.0, 1.0, 0.0, 1.0, 16.0, 16.0, 16.0, 16.0, 15.0, 3.0, 0.0, 0.0, 5.0, 8.0, 11.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 3.0, 0.0, 0.0], [0.0, 0.0, 1.0, 11.0, 14.0, 15.0, 3.0, 0.0, 0.0, 1.0, 13.0, 16.0, 12.0, 16.0, 8.0, 0.0, 0.0, 8.0, 16.0, 4.0, 6.0, 16.0, 5.0, 0.0, 0.0, 5.0, 15.0, 11.0, 13.0, 14.0, 0.0, 0.0, 0.0, 0.0, 2.0, 12.0, 16.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 16.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 16.0, 16.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 11.0, 13.0, 12.0, 1.0, 0.0], [0.0, 0.0, 6.0, 14.0, 16.0, 5.0, 0.0, 0.0, 0.0, 2.0, 16.0, 16.0, 16.0, 7.0, 0.0, 0.0, 0.0, 2.0, 15.0, 16.0, 15.0, 2.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 15.0, 7.0, 0.0, 0.0, 0.0, 0.0, 14.0, 10.0, 6.0, 16.0, 3.0, 0.0, 0.0, 1.0, 16.0, 3.0, 0.0, 16.0, 7.0, 0.0, 0.0, 0.0, 10.0, 11.0, 11.0, 15.0, 3.0, 0.0, 0.0, 0.0, 3.0, 14.0, 16.0, 6.0, 0.0, 0.0], [0.0, 0.0, 0.0, 4.0, 15.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 13.0, 1.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 4.0, 15.0, 8.0, 0.0, 5.0, 0.0, 0.0, 0.0, 11.0, 14.0, 1.0, 6.0, 16.0, 5.0, 0.0, 1.0, 16.0, 14.0, 12.0, 16.0, 16.0, 3.0, 0.0, 0.0, 10.0, 12.0, 10.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 2.0, 0.0, 0.0], [0.0, 0.0, 1.0, 9.0, 15.0, 11.0, 3.0, 0.0, 0.0, 0.0, 12.0, 9.0, 1.0, 11.0, 6.0, 0.0, 0.0, 0.0, 13.0, 7.0, 6.0, 16.0, 8.0, 0.0, 0.0, 0.0, 4.0, 10.0, 12.0, 15.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 6.0, 0.0, 0.0, 8.0, 7.0, 0.0, 0.0, 15.0, 5.0, 0.0, 0.0, 1.0, 12.0, 10.0, 4.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 13.0, 16.0, 8.0, 0.0, 0.0], [0.0, 0.0, 0.0, 14.0, 12.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 8.0, 14.0, 1.0, 0.0, 0.0, 0.0, 9.0, 11.0, 0.0, 13.0, 5.0, 0.0, 0.0, 2.0, 16.0, 8.0, 0.0, 8.0, 8.0, 0.0, 0.0, 5.0, 13.0, 0.0, 0.0, 8.0, 7.0, 0.0, 0.0, 6.0, 13.0, 0.0, 0.0, 11.0, 4.0, 0.0, 0.0, 0.0, 12.0, 10.0, 6.0, 14.0, 0.0, 0.0, 0.0, 0.0, 1.0, 11.0, 14.0, 7.0, 0.0, 0.0], [0.0, 0.0, 0.0, 10.0, 13.0, 5.0, 0.0, 0.0, 0.0, 3.0, 14.0, 16.0, 12.0, 15.0, 0.0, 0.0, 0.0, 10.0, 16.0, 8.0, 11.0, 16.0, 0.0, 0.0, 0.0, 8.0, 14.0, 5.0, 14.0, 9.0, 0.0, 0.0, 0.0, 0.0, 7.0, 14.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 14.0, 16.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 11.0, 0.0, 0.0], [0.0, 0.0, 4.0, 11.0, 12.0, 14.0, 0.0, 0.0, 0.0, 0.0, 15.0, 12.0, 14.0, 16.0, 4.0, 0.0, 0.0, 0.0, 16.0, 9.0, 16.0, 13.0, 3.0, 0.0, 0.0, 0.0, 5.0, 12.0, 11.0, 12.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 7.0, 0.0, 0.0, 6.0, 13.0, 4.0, 0.0, 14.0, 4.0, 0.0, 0.0, 0.0, 7.0, 13.0, 16.0, 14.0, 1.0, 0.0], [0.0, 0.0, 2.0, 8.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 15.0, 16.0, 2.0, 0.0, 0.0, 0.0, 6.0, 15.0, 11.0, 16.0, 4.0, 0.0, 0.0, 0.0, 5.0, 16.0, 10.0, 16.0, 1.0, 0.0, 0.0, 0.0, 2.0, 15.0, 16.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 12.0, 9.0, 3.0, 0.0, 0.0, 0.0, 4.0, 14.0, 0.0, 12.0, 14.0, 1.0, 0.0, 0.0, 1.0, 12.0, 10.0, 7.0, 0.0, 0.0], [0.0, 0.0, 10.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 11.0, 15.0, 6.0, 4.0, 1.0, 0.0, 0.0, 10.0, 16.0, 16.0, 16.0, 16.0, 10.0], [0.0, 1.0, 15.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 9.0, 16.0, 4.0, 0.0, 0.0, 0.0, 2.0, 12.0, 5.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 1.0, 15.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 13.0, 4.0, 4.0, 3.0, 0.0, 0.0, 2.0, 13.0, 16.0, 16.0, 16.0, 16.0, 2.0], [0.0, 0.0, 6.0, 13.0, 12.0, 2.0, 0.0, 0.0, 0.0, 0.0, 7.0, 7.0, 10.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 12.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 14.0, 1.0, 0.0, 0.0, 1.0, 7.0, 0.0, 0.0, 7.0, 11.0, 0.0, 0.0, 1.0, 16.0, 4.0, 0.0, 9.0, 11.0, 0.0, 0.0, 0.0, 5.0, 13.0, 12.0, 16.0, 3.0, 0.0], [0.0, 0.0, 0.0, 4.0, 15.0, 2.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 15.0, 1.0, 11.0, 9.0, 0.0, 0.0, 3.0, 14.0, 8.0, 0.0, 14.0, 10.0, 0.0, 0.0, 10.0, 16.0, 12.0, 12.0, 16.0, 8.0, 0.0, 0.0, 13.0, 16.0, 14.0, 15.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 9.0, 0.0, 0.0], [0.0, 0.0, 14.0, 12.0, 12.0, 13.0, 3.0, 0.0, 0.0, 0.0, 16.0, 8.0, 8.0, 6.0, 1.0, 0.0, 0.0, 0.0, 14.0, 7.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 15.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 13.0, 3.0, 6.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 13.0, 0.0, 0.0, 0.0, 0.0, 5.0, 4.0, 8.0, 12.0, 1.0, 0.0, 0.0, 1.0, 15.0, 15.0, 11.0, 3.0, 0.0, 0.0], [0.0, 0.0, 1.0, 10.0, 10.0, 0.0, 0.0, 0.0, 0.0, 1.0, 13.0, 10.0, 1.0, 0.0, 0.0, 0.0, 0.0, 4.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 11.0, 5.0, 10.0, 11.0, 1.0, 0.0, 0.0, 5.0, 16.0, 13.0, 6.0, 10.0, 8.0, 0.0, 0.0, 0.0, 10.0, 9.0, 0.0, 7.0, 11.0, 0.0, 0.0, 0.0, 1.0, 12.0, 16.0, 14.0, 2.0, 0.0], [0.0, 0.0, 3.0, 14.0, 8.0, 6.0, 4.0, 0.0, 0.0, 0.0, 11.0, 16.0, 16.0, 16.0, 15.0, 1.0, 0.0, 3.0, 16.0, 3.0, 2.0, 15.0, 6.0, 0.0, 0.0, 5.0, 8.0, 0.0, 9.0, 14.0, 0.0, 0.0, 0.0, 0.0, 7.0, 9.0, 15.0, 13.0, 4.0, 0.0, 0.0, 0.0, 10.0, 16.0, 16.0, 15.0, 3.0, 0.0, 0.0, 0.0, 0.0, 13.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 15.0, 2.0, 0.0, 0.0, 0.0], [0.0, 0.0, 7.0, 15.0, 14.0, 6.0, 0.0, 0.0, 0.0, 5.0, 16.0, 5.0, 10.0, 16.0, 4.0, 0.0, 0.0, 6.0, 15.0, 2.0, 10.0, 14.0, 1.0, 0.0, 0.0, 1.0, 13.0, 16.0, 14.0, 1.0, 0.0, 0.0, 0.0, 0.0, 10.0, 13.0, 15.0, 8.0, 0.0, 0.0, 0.0, 0.0, 15.0, 2.0, 3.0, 15.0, 6.0, 0.0, 0.0, 0.0, 15.0, 3.0, 8.0, 15.0, 6.0, 0.0, 0.0, 0.0, 6.0, 16.0, 11.0, 4.0, 0.0, 0.0], [0.0, 0.0, 7.0, 14.0, 9.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 5.0, 10.0, 7.0, 0.0, 0.0, 0.0, 0.0, 13.0, 2.0, 3.0, 13.0, 0.0, 0.0, 0.0, 0.0, 5.0, 15.0, 16.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 10.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 14.0, 0.0, 0.0, 0.0, 4.0, 2.0, 0.0, 0.0, 14.0, 3.0, 0.0, 0.0, 5.0, 15.0, 16.0, 16.0, 12.0, 1.0], [0.0, 0.0, 3.0, 13.0, 13.0, 3.0, 0.0, 0.0, 0.0, 0.0, 14.0, 8.0, 7.0, 15.0, 1.0, 0.0, 0.0, 3.0, 16.0, 0.0, 0.0, 9.0, 6.0, 0.0, 0.0, 6.0, 13.0, 0.0, 0.0, 4.0, 8.0, 0.0, 0.0, 4.0, 9.0, 0.0, 0.0, 4.0, 8.0, 0.0, 0.0, 1.0, 13.0, 0.0, 0.0, 5.0, 8.0, 0.0, 0.0, 0.0, 14.0, 7.0, 0.0, 11.0, 4.0, 0.0, 0.0, 0.0, 3.0, 15.0, 16.0, 14.0, 0.0, 0.0], [0.0, 0.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 5.0, 12.0, 16.0, 11.0, 8.0, 3.0, 0.0, 0.0, 12.0, 16.0, 16.0, 16.0, 16.0, 9.0], [0.0, 4.0, 16.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0, 8.0, 14.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 5.0, 8.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 15.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 3.0, 6.0, 9.0, 0.0, 0.0, 3.0, 15.0, 15.0, 8.0, 13.0, 15.0, 0.0, 0.0, 4.0, 15.0, 16.0, 16.0, 16.0, 7.0, 0.0], [0.0, 0.0, 9.0, 16.0, 10.0, 1.0, 0.0, 0.0, 0.0, 0.0, 8.0, 3.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 14.0, 2.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 15.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 15.0, 2.0, 0.0, 0.0, 4.0, 6.0, 0.0, 0.0, 13.0, 7.0, 0.0, 0.0, 6.0, 13.0, 1.0, 5.0, 16.0, 3.0, 0.0, 0.0, 0.0, 10.0, 16.0, 15.0, 5.0, 0.0, 0.0], [0.0, 0.0, 0.0, 2.0, 14.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 3.0, 9.0, 12.0, 0.0, 0.0, 1.0, 14.0, 8.0, 0.0, 15.0, 13.0, 0.0, 0.0, 11.0, 16.0, 10.0, 8.0, 16.0, 10.0, 0.0, 3.0, 16.0, 16.0, 16.0, 16.0, 15.0, 3.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 7.0, 0.0, 0.0], [0.0, 1.0, 12.0, 13.0, 13.0, 0.0, 0.0, 0.0, 0.0, 4.0, 11.0, 6.0, 3.0, 0.0, 0.0, 0.0, 0.0, 7.0, 11.0, 8.0, 6.0, 1.0, 0.0, 0.0, 0.0, 5.0, 15.0, 12.0, 13.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 8.0, 0.0, 0.0, 2.0, 10.0, 8.0, 7.0, 15.0, 3.0, 0.0, 0.0, 1.0, 13.0, 16.0, 12.0, 5.0, 0.0, 0.0], [0.0, 0.0, 1.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 12.0, 4.0, 11.0, 9.0, 1.0, 0.0, 0.0, 4.0, 16.0, 15.0, 8.0, 12.0, 7.0, 0.0, 0.0, 2.0, 14.0, 10.0, 3.0, 13.0, 7.0, 0.0, 0.0, 0.0, 2.0, 13.0, 16.0, 8.0, 1.0, 0.0], [0.0, 0.0, 6.0, 16.0, 16.0, 12.0, 3.0, 0.0, 0.0, 0.0, 13.0, 12.0, 10.0, 16.0, 2.0, 0.0, 0.0, 1.0, 16.0, 3.0, 10.0, 11.0, 0.0, 0.0, 0.0, 1.0, 7.0, 1.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 15.0, 4.0, 1.0, 0.0, 0.0, 0.0, 10.0, 16.0, 16.0, 16.0, 4.0, 0.0, 0.0, 0.0, 2.0, 16.0, 8.0, 3.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 3.0, 0.0, 0.0, 0.0], [0.0, 0.0, 7.0, 13.0, 11.0, 1.0, 0.0, 0.0, 0.0, 6.0, 14.0, 12.0, 14.0, 9.0, 0.0, 0.0, 0.0, 5.0, 14.0, 3.0, 10.0, 9.0, 0.0, 0.0, 0.0, 0.0, 8.0, 15.0, 14.0, 2.0, 0.0, 0.0, 0.0, 0.0, 1.0, 14.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 9.0, 9.0, 3.0, 15.0, 4.0, 0.0, 0.0, 0.0, 12.0, 5.0, 1.0, 11.0, 8.0, 0.0, 0.0, 0.0, 7.0, 16.0, 16.0, 9.0, 1.0, 0.0], [0.0, 0.0, 7.0, 14.0, 10.0, 0.0, 0.0, 0.0, 0.0, 7.0, 15.0, 4.0, 9.0, 11.0, 0.0, 0.0, 0.0, 9.0, 13.0, 0.0, 7.0, 16.0, 0.0, 0.0, 0.0, 3.0, 15.0, 16.0, 16.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 4.0, 4.0, 12.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 12.0, 0.0, 0.0, 0.0, 11.0, 5.0, 0.0, 7.0, 13.0, 0.0, 0.0, 0.0, 5.0, 13.0, 16.0, 14.0, 6.0, 0.0], [0.0, 0.0, 6.0, 14.0, 13.0, 3.0, 0.0, 0.0, 0.0, 0.0, 14.0, 10.0, 7.0, 13.0, 0.0, 0.0, 0.0, 4.0, 13.0, 0.0, 0.0, 12.0, 3.0, 0.0, 0.0, 5.0, 11.0, 0.0, 0.0, 7.0, 6.0, 0.0, 0.0, 4.0, 11.0, 0.0, 0.0, 4.0, 8.0, 0.0, 0.0, 2.0, 12.0, 0.0, 0.0, 6.0, 6.0, 0.0, 0.0, 0.0, 12.0, 8.0, 2.0, 14.0, 2.0, 0.0, 0.0, 0.0, 4.0, 15.0, 16.0, 9.0, 0.0, 0.0], [0.0, 0.0, 11.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 15.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 13.0, 15.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 3.0, 3.0, 15.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 10.0, 16.0, 6.0, 3.0, 0.0, 0.0, 0.0, 7.0, 16.0, 16.0, 16.0, 16.0, 5.0], [0.0, 2.0, 13.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 12.0, 15.0, 9.0, 16.0, 2.0, 0.0, 0.0, 0.0, 10.0, 8.0, 1.0, 16.0, 6.0, 0.0, 0.0, 0.0, 1.0, 1.0, 2.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 15.0, 2.0, 0.0, 0.0, 0.0, 0.0, 2.0, 15.0, 9.0, 0.0, 0.0, 0.0, 0.0, 2.0, 15.0, 16.0, 9.0, 8.0, 6.0, 0.0, 0.0, 1.0, 13.0, 16.0, 16.0, 16.0, 16.0, 3.0], [0.0, 2.0, 13.0, 16.0, 15.0, 1.0, 0.0, 0.0, 0.0, 7.0, 13.0, 10.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 1.0, 4.0, 10.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 9.0, 0.0, 0.0, 2.0, 12.0, 6.0, 6.0, 16.0, 6.0, 0.0, 0.0, 1.0, 15.0, 16.0, 16.0, 9.0, 1.0, 0.0], [0.0, 0.0, 0.0, 2.0, 15.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 15.0, 2.0, 5.0, 0.0, 0.0, 0.0, 5.0, 16.0, 6.0, 6.0, 16.0, 0.0, 0.0, 2.0, 16.0, 10.0, 4.0, 13.0, 13.0, 0.0, 0.0, 13.0, 16.0, 16.0, 16.0, 16.0, 10.0, 0.0, 0.0, 6.0, 4.0, 4.0, 11.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 7.0, 0.0, 0.0], [0.0, 0.0, 9.0, 12.0, 14.0, 2.0, 0.0, 0.0, 0.0, 0.0, 12.0, 6.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 1.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 16.0, 12.0, 0.0, 0.0, 0.0, 0.0, 4.0, 4.0, 0.0, 12.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 12.0, 0.0, 0.0, 0.0, 9.0, 7.0, 4.0, 10.0, 11.0, 0.0, 0.0, 0.0, 9.0, 14.0, 16.0, 14.0, 5.0, 0.0], [0.0, 0.0, 3.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 10.0, 11.0, 16.0, 14.0, 1.0, 0.0, 0.0, 2.0, 16.0, 10.0, 4.0, 7.0, 10.0, 0.0, 0.0, 0.0, 15.0, 8.0, 2.0, 12.0, 8.0, 0.0, 0.0, 0.0, 3.0, 12.0, 16.0, 8.0, 0.0, 0.0], [0.0, 0.0, 3.0, 14.0, 13.0, 12.0, 14.0, 0.0, 0.0, 0.0, 11.0, 14.0, 12.0, 15.0, 9.0, 0.0, 0.0, 0.0, 16.0, 5.0, 3.0, 16.0, 2.0, 0.0, 0.0, 1.0, 9.0, 1.0, 10.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 14.0, 6.0, 0.0, 0.0, 0.0, 4.0, 16.0, 16.0, 11.0, 1.0, 0.0, 0.0, 0.0, 0.0, 15.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 13.0, 0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 10.0, 14.0, 10.0, 1.0, 0.0, 0.0, 0.0, 4.0, 14.0, 6.0, 13.0, 7.0, 0.0, 0.0, 0.0, 6.0, 12.0, 0.0, 7.0, 7.0, 0.0, 0.0, 0.0, 1.0, 16.0, 10.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 15.0, 3.0, 0.0, 0.0, 0.0, 0.0, 13.0, 6.0, 6.0, 15.0, 5.0, 0.0, 0.0, 3.0, 15.0, 0.0, 4.0, 12.0, 7.0, 0.0, 0.0, 0.0, 12.0, 16.0, 15.0, 8.0, 0.0, 0.0], [0.0, 1.0, 10.0, 15.0, 15.0, 3.0, 0.0, 0.0, 0.0, 6.0, 13.0, 4.0, 10.0, 12.0, 0.0, 0.0, 0.0, 4.0, 11.0, 0.0, 7.0, 15.0, 0.0, 0.0, 0.0, 2.0, 14.0, 16.0, 16.0, 14.0, 2.0, 0.0, 0.0, 0.0, 1.0, 4.0, 3.0, 10.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 12.0, 0.0, 0.0, 0.0, 3.0, 3.0, 0.0, 2.0, 13.0, 0.0, 0.0, 0.0, 10.0, 16.0, 16.0, 16.0, 11.0, 0.0], [0.0, 0.0, 3.0, 15.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 8.0, 11.0, 5.0, 0.0, 0.0, 0.0, 3.0, 16.0, 3.0, 1.0, 14.0, 2.0, 0.0, 0.0, 5.0, 12.0, 0.0, 0.0, 12.0, 4.0, 0.0, 0.0, 2.0, 12.0, 0.0, 0.0, 6.0, 8.0, 0.0, 0.0, 2.0, 14.0, 0.0, 0.0, 12.0, 5.0, 0.0, 0.0, 0.0, 12.0, 8.0, 5.0, 15.0, 0.0, 0.0, 0.0, 0.0, 1.0, 13.0, 14.0, 5.0, 0.0, 0.0], [0.0, 0.0, 9.0, 15.0, 14.0, 8.0, 0.0, 0.0, 0.0, 6.0, 16.0, 4.0, 2.0, 16.0, 3.0, 0.0, 0.0, 5.0, 16.0, 5.0, 5.0, 16.0, 4.0, 0.0, 0.0, 0.0, 9.0, 16.0, 16.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 8.0, 0.0, 0.0, 2.0, 10.0, 2.0, 1.0, 12.0, 6.0, 0.0, 0.0, 1.0, 13.0, 14.0, 14.0, 11.0, 1.0, 0.0], [0.0, 1.0, 10.0, 12.0, 12.0, 11.0, 0.0, 0.0, 0.0, 7.0, 14.0, 8.0, 8.0, 6.0, 0.0, 0.0, 0.0, 7.0, 11.0, 7.0, 3.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 13.0, 13.0, 8.0, 0.0, 0.0, 0.0, 1.0, 3.0, 0.0, 1.0, 14.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 12.0, 0.0, 0.0, 0.0, 11.0, 3.0, 0.0, 10.0, 12.0, 0.0, 0.0, 0.0, 10.0, 16.0, 16.0, 14.0, 4.0, 0.0], [0.0, 0.0, 10.0, 12.0, 12.0, 15.0, 4.0, 0.0, 0.0, 0.0, 16.0, 8.0, 8.0, 5.0, 3.0, 0.0, 0.0, 4.0, 15.0, 8.0, 6.0, 0.0, 0.0, 0.0, 0.0, 6.0, 15.0, 12.0, 14.0, 8.0, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 2.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 3.0, 0.0, 0.0, 0.0, 11.0, 4.0, 8.0, 15.0, 3.0, 0.0, 0.0, 0.0, 10.0, 16.0, 15.0, 5.0, 0.0, 0.0], [0.0, 0.0, 1.0, 11.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 15.0, 5.0, 0.0, 0.0, 0.0, 0.0, 3.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 15.0, 15.0, 16.0, 14.0, 3.0, 0.0, 0.0, 2.0, 16.0, 11.0, 2.0, 7.0, 12.0, 0.0, 0.0, 0.0, 14.0, 11.0, 4.0, 9.0, 13.0, 0.0, 0.0, 0.0, 2.0, 11.0, 16.0, 15.0, 6.0, 0.0], [0.0, 3.0, 12.0, 12.0, 14.0, 4.0, 0.0, 0.0, 0.0, 1.0, 13.0, 4.0, 4.0, 0.0, 0.0, 0.0, 0.0, 4.0, 14.0, 4.0, 3.0, 0.0, 0.0, 0.0, 0.0, 5.0, 13.0, 12.0, 14.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 8.0, 0.0, 0.0, 0.0, 6.0, 2.0, 0.0, 8.0, 8.0, 0.0, 0.0, 2.0, 13.0, 16.0, 16.0, 16.0, 2.0, 0.0], [0.0, 0.0, 6.0, 14.0, 11.0, 1.0, 0.0, 0.0, 0.0, 0.0, 15.0, 5.0, 6.0, 15.0, 0.0, 0.0, 0.0, 4.0, 16.0, 0.0, 0.0, 9.0, 3.0, 0.0, 0.0, 8.0, 9.0, 0.0, 0.0, 4.0, 8.0, 0.0, 0.0, 7.0, 8.0, 0.0, 0.0, 4.0, 8.0, 0.0, 0.0, 4.0, 8.0, 0.0, 0.0, 9.0, 4.0, 0.0, 0.0, 1.0, 13.0, 2.0, 3.0, 14.0, 0.0, 0.0, 0.0, 0.0, 5.0, 14.0, 15.0, 4.0, 0.0, 0.0], [0.0, 0.0, 6.0, 14.0, 15.0, 7.0, 0.0, 0.0, 0.0, 3.0, 15.0, 6.0, 2.0, 14.0, 3.0, 0.0, 0.0, 4.0, 13.0, 0.0, 1.0, 16.0, 4.0, 0.0, 0.0, 0.0, 10.0, 11.0, 9.0, 16.0, 6.0, 0.0, 0.0, 0.0, 1.0, 8.0, 10.0, 14.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 11.0, 0.0, 0.0, 1.0, 12.0, 5.0, 0.0, 10.0, 11.0, 0.0, 0.0, 0.0, 7.0, 13.0, 16.0, 16.0, 4.0, 0.0], [0.0, 0.0, 7.0, 14.0, 15.0, 4.0, 0.0, 0.0, 0.0, 7.0, 15.0, 4.0, 9.0, 12.0, 0.0, 0.0, 0.0, 6.0, 15.0, 1.0, 4.0, 14.0, 0.0, 0.0, 0.0, 0.0, 9.0, 13.0, 14.0, 7.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 14.0, 7.0, 3.0, 15.0, 4.0, 0.0, 0.0, 0.0, 16.0, 3.0, 0.0, 13.0, 8.0, 0.0, 0.0, 0.0, 7.0, 16.0, 16.0, 10.0, 1.0, 0.0], [0.0, 0.0, 7.0, 13.0, 10.0, 1.0, 0.0, 0.0, 0.0, 1.0, 15.0, 3.0, 9.0, 10.0, 0.0, 0.0, 0.0, 3.0, 16.0, 4.0, 13.0, 11.0, 0.0, 0.0, 0.0, 0.0, 6.0, 12.0, 12.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 11.0, 0.0, 0.0, 1.0, 11.0, 2.0, 0.0, 7.0, 11.0, 0.0, 0.0, 0.0, 7.0, 13.0, 16.0, 15.0, 4.0, 0.0], [0.0, 0.0, 1.0, 11.0, 15.0, 6.0, 0.0, 0.0, 0.0, 2.0, 15.0, 10.0, 16.0, 15.0, 0.0, 0.0, 0.0, 1.0, 14.0, 5.0, 6.0, 11.0, 0.0, 0.0, 0.0, 0.0, 5.0, 14.0, 14.0, 3.0, 0.0, 0.0, 0.0, 0.0, 1.0, 14.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 10.0, 8.0, 6.0, 15.0, 1.0, 0.0, 0.0, 0.0, 9.0, 9.0, 4.0, 16.0, 3.0, 0.0, 0.0, 0.0, 1.0, 15.0, 15.0, 6.0, 0.0, 0.0], [0.0, 0.0, 0.0, 7.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 2.0, 0.0, 3.0, 1.0, 0.0, 0.0, 8.0, 10.0, 0.0, 2.0, 16.0, 2.0, 0.0, 1.0, 15.0, 4.0, 3.0, 9.0, 12.0, 0.0, 0.0, 8.0, 16.0, 16.0, 16.0, 16.0, 6.0, 0.0, 0.0, 1.0, 4.0, 3.0, 9.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 10.0, 0.0, 0.0, 0.0], [0.0, 0.0, 3.0, 15.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 13.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 4.0, 0.0, 0.0, 0.0, 3.0, 9.0, 13.0, 16.0, 12.0, 5.0, 0.0, 0.0, 3.0, 15.0, 16.0, 16.0, 16.0, 16.0], [0.0, 0.0, 7.0, 16.0, 14.0, 13.0, 10.0, 0.0, 0.0, 0.0, 10.0, 12.0, 10.0, 16.0, 4.0, 0.0, 0.0, 0.0, 15.0, 5.0, 8.0, 13.0, 0.0, 0.0, 0.0, 1.0, 7.0, 1.0, 16.0, 3.0, 0.0, 0.0, 0.0, 2.0, 11.0, 13.0, 16.0, 12.0, 6.0, 0.0, 0.0, 4.0, 12.0, 15.0, 14.0, 11.0, 2.0, 0.0, 0.0, 0.0, 3.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 13.0, 0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 15.0, 16.0, 16.0, 12.0, 4.0, 0.0, 0.0, 4.0, 14.0, 0.0, 10.0, 12.0, 0.0, 0.0, 0.0, 8.0, 7.0, 1.0, 15.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 12.0, 0.0, 0.0, 0.0, 0.0, 1.0, 8.0, 14.0, 12.0, 3.0, 0.0, 0.0, 0.0, 6.0, 13.0, 16.0, 13.0, 2.0, 0.0, 0.0, 0.0, 0.0, 10.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 2.0, 0.0, 0.0, 0.0], [0.0, 1.0, 10.0, 16.0, 15.0, 1.0, 0.0, 0.0, 0.0, 3.0, 15.0, 10.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 1.0, 11.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 16.0, 15.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 11.0, 15.0, 1.0, 0.0, 0.0, 8.0, 3.0, 0.0, 3.0, 16.0, 7.0, 0.0, 0.0, 13.0, 15.0, 6.0, 8.0, 16.0, 6.0, 0.0, 0.0, 0.0, 12.0, 16.0, 16.0, 7.0, 0.0, 0.0], [0.0, 3.0, 16.0, 16.0, 16.0, 2.0, 0.0, 0.0, 0.0, 4.0, 14.0, 10.0, 5.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 16.0, 10.0, 3.0, 0.0, 0.0, 0.0, 4.0, 15.0, 12.0, 14.0, 13.0, 0.0, 0.0, 0.0, 0.0, 2.0, 0.0, 1.0, 15.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 13.0, 0.0, 0.0, 3.0, 16.0, 10.0, 7.0, 9.0, 16.0, 0.0, 0.0, 3.0, 13.0, 15.0, 16.0, 16.0, 8.0, 0.0], [0.0, 0.0, 10.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 13.0, 1.0, 0.0, 0.0, 0.0, 0.0, 1.0, 5.0, 14.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 11.0, 0.0, 0.0, 0.0, 0.0, 8.0, 12.0, 9.0, 16.0, 6.0, 4.0, 0.0, 0.0, 7.0, 16.0, 16.0, 16.0, 16.0, 14.0], [0.0, 3.0, 15.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 12.0, 13.0, 11.0, 16.0, 0.0, 0.0, 0.0, 0.0, 12.0, 5.0, 4.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 0.0, 0.0, 0.0, 0.0, 1.0, 12.0, 16.0, 14.0, 8.0, 5.0, 0.0, 0.0, 2.0, 13.0, 16.0, 16.0, 16.0, 16.0, 2.0], [0.0, 0.0, 7.0, 16.0, 16.0, 16.0, 8.0, 0.0, 0.0, 0.0, 10.0, 12.0, 10.0, 16.0, 2.0, 0.0, 0.0, 0.0, 13.0, 6.0, 7.0, 13.0, 0.0, 0.0, 0.0, 0.0, 10.0, 1.0, 13.0, 5.0, 0.0, 0.0, 0.0, 0.0, 9.0, 10.0, 16.0, 8.0, 3.0, 0.0, 0.0, 1.0, 12.0, 15.0, 16.0, 16.0, 5.0, 0.0, 0.0, 0.0, 1.0, 16.0, 2.0, 3.0, 0.0, 0.0, 0.0, 0.0, 9.0, 14.0, 0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 7.0, 14.0, 12.0, 1.0, 0.0, 0.0, 0.0, 7.0, 14.0, 5.0, 8.0, 10.0, 0.0, 0.0, 0.0, 8.0, 11.0, 1.0, 7.0, 10.0, 0.0, 0.0, 0.0, 1.0, 9.0, 16.0, 15.0, 4.0, 0.0, 0.0, 0.0, 0.0, 1.0, 14.0, 14.0, 12.0, 0.0, 0.0, 0.0, 0.0, 7.0, 11.0, 0.0, 12.0, 7.0, 0.0, 0.0, 0.0, 11.0, 5.0, 0.0, 11.0, 8.0, 0.0, 0.0, 0.0, 4.0, 14.0, 16.0, 12.0, 1.0, 0.0], [0.0, 1.0, 13.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 12.0, 15.0, 3.0, 0.0, 0.0, 0.0, 0.0, 9.0, 6.0, 15.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 4.0, 1.0, 0.0, 0.0, 0.0, 9.0, 16.0, 16.0, 6.0, 16.0, 5.0, 0.0, 0.0, 8.0, 12.0, 13.0, 16.0, 16.0, 11.0], [0.0, 0.0, 3.0, 12.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 12.0, 11.0, 13.0, 0.0, 0.0, 0.0, 2.0, 15.0, 2.0, 0.0, 12.0, 5.0, 0.0, 0.0, 4.0, 8.0, 0.0, 0.0, 6.0, 8.0, 0.0, 0.0, 8.0, 7.0, 0.0, 0.0, 4.0, 8.0, 0.0, 0.0, 7.0, 7.0, 0.0, 0.0, 9.0, 7.0, 0.0, 0.0, 3.0, 13.0, 4.0, 7.0, 16.0, 2.0, 0.0, 0.0, 0.0, 6.0, 16.0, 15.0, 5.0, 0.0, 0.0], [0.0, 0.0, 8.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 6.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 7.0, 0.0, 0.0, 0.0, 0.0, 4.0, 8.0, 14.0, 14.0, 8.0, 4.0, 0.0, 0.0, 9.0, 16.0, 16.0, 16.0, 16.0, 13.0], [0.0, 0.0, 11.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 11.0, 15.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 5.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 2.0, 2.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 14.0, 7.0, 6.0, 0.0, 0.0, 0.0, 13.0, 14.0, 14.0, 16.0, 16.0, 6.0], [0.0, 0.0, 2.0, 12.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 10.0, 1.0, 0.0, 0.0, 0.0, 0.0, 4.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 9.0, 5.0, 11.0, 8.0, 0.0, 0.0, 0.0, 4.0, 16.0, 14.0, 6.0, 12.0, 5.0, 0.0, 0.0, 0.0, 13.0, 7.0, 0.0, 10.0, 8.0, 0.0, 0.0, 0.0, 3.0, 14.0, 16.0, 16.0, 5.0, 0.0], [0.0, 0.0, 8.0, 15.0, 11.0, 1.0, 0.0, 0.0, 0.0, 0.0, 10.0, 4.0, 10.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 13.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 8.0, 15.0, 1.0, 0.0, 0.0, 1.0, 1.0, 0.0, 0.0, 9.0, 7.0, 0.0, 0.0, 4.0, 13.0, 5.0, 3.0, 10.0, 8.0, 0.0, 0.0, 0.0, 7.0, 14.0, 16.0, 15.0, 2.0, 0.0], [0.0, 0.0, 8.0, 12.0, 13.0, 5.0, 0.0, 0.0, 0.0, 4.0, 13.0, 4.0, 9.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 13.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 15.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 15.0, 2.0, 0.0, 0.0, 7.0, 8.0, 0.0, 0.0, 12.0, 7.0, 0.0, 0.0, 8.0, 9.0, 1.0, 3.0, 16.0, 3.0, 0.0, 0.0, 0.0, 10.0, 16.0, 16.0, 6.0, 0.0, 0.0], [0.0, 0.0, 4.0, 15.0, 16.0, 16.0, 16.0, 1.0, 0.0, 0.0, 10.0, 13.0, 8.0, 15.0, 8.0, 0.0, 0.0, 0.0, 14.0, 5.0, 3.0, 16.0, 2.0, 0.0, 0.0, 0.0, 1.0, 0.0, 12.0, 11.0, 0.0, 0.0, 0.0, 0.0, 2.0, 5.0, 16.0, 9.0, 1.0, 0.0, 0.0, 0.0, 15.0, 16.0, 16.0, 14.0, 3.0, 0.0, 0.0, 0.0, 1.0, 15.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 14.0, 2.0, 0.0, 0.0, 0.0], [0.0, 0.0, 1.0, 14.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 2.0, 10.0, 5.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 7.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 14.0, 4.0, 0.0, 0.0, 0.0, 13.0, 0.0, 0.0, 4.0, 12.0, 0.0, 0.0, 0.0, 13.0, 6.0, 4.0, 8.0, 13.0, 0.0, 0.0, 0.0, 0.0, 12.0, 16.0, 15.0, 6.0, 0.0], [0.0, 0.0, 7.0, 16.0, 12.0, 1.0, 0.0, 0.0, 0.0, 0.0, 16.0, 11.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 3.0, 9.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 16.0, 15.0, 1.0, 0.0, 0.0, 0.0, 1.0, 2.0, 5.0, 14.0, 8.0, 0.0, 0.0, 5.0, 14.0, 0.0, 0.0, 9.0, 15.0, 0.0, 0.0, 4.0, 16.0, 7.0, 6.0, 13.0, 14.0, 0.0, 0.0, 0.0, 7.0, 16.0, 16.0, 16.0, 4.0, 0.0], [0.0, 0.0, 0.0, 0.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 8.0, 0.0, 8.0, 0.0, 0.0, 0.0, 4.0, 13.0, 2.0, 2.0, 14.0, 0.0, 0.0, 2.0, 14.0, 12.0, 7.0, 8.0, 10.0, 0.0, 0.0, 9.0, 16.0, 16.0, 16.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 8.0, 0.0, 0.0], [0.0, 0.0, 1.0, 9.0, 13.0, 1.0, 0.0, 0.0, 0.0, 1.0, 12.0, 14.0, 5.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 15.0, 0.0, 3.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 16.0, 16.0, 15.0, 3.0, 0.0, 0.0, 2.0, 16.0, 11.0, 1.0, 9.0, 11.0, 0.0, 0.0, 0.0, 11.0, 13.0, 6.0, 12.0, 11.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 15.0, 2.0, 0.0], [0.0, 0.0, 2.0, 14.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 15.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 12.0, 1.0, 4.0, 6.0, 0.0, 0.0, 0.0, 7.0, 16.0, 16.0, 15.0, 15.0, 8.0, 0.0, 0.0, 0.0, 16.0, 13.0, 0.0, 4.0, 12.0, 0.0, 0.0, 0.0, 10.0, 12.0, 4.0, 8.0, 15.0, 0.0, 0.0, 0.0, 2.0, 11.0, 16.0, 15.0, 5.0, 0.0], [0.0, 0.0, 1.0, 11.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 14.0, 12.0, 12.0, 7.0, 0.0, 0.0, 0.0, 0.0, 16.0, 12.0, 5.0, 11.0, 10.0, 0.0, 0.0, 0.0, 10.0, 11.0, 4.0, 10.0, 12.0, 0.0, 0.0, 0.0, 1.0, 12.0, 16.0, 12.0, 3.0, 0.0], [0.0, 0.0, 0.0, 3.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 13.0, 3.0, 8.0, 0.0, 0.0, 0.0, 1.0, 16.0, 5.0, 9.0, 16.0, 0.0, 0.0, 2.0, 12.0, 14.0, 5.0, 15.0, 9.0, 0.0, 0.0, 12.0, 16.0, 16.0, 16.0, 16.0, 7.0, 0.0, 0.0, 5.0, 5.0, 6.0, 14.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 13.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 4.0, 0.0, 0.0], [0.0, 0.0, 5.0, 15.0, 14.0, 3.0, 0.0, 0.0, 0.0, 2.0, 14.0, 7.0, 4.0, 13.0, 0.0, 0.0, 0.0, 2.0, 15.0, 5.0, 5.0, 16.0, 1.0, 0.0, 0.0, 0.0, 7.0, 15.0, 16.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 1.0, 3.0, 7.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 14.0, 0.0, 0.0, 0.0, 8.0, 9.0, 4.0, 2.0, 16.0, 1.0, 0.0, 0.0, 4.0, 11.0, 13.0, 16.0, 11.0, 0.0], [0.0, 0.0, 5.0, 15.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 2.0, 9.0, 14.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 13.0, 0.0, 0.0, 0.0, 0.0, 2.0, 10.0, 12.0, 16.0, 4.0, 4.0, 0.0, 0.0, 4.0, 15.0, 16.0, 16.0, 16.0, 16.0], [0.0, 0.0, 12.0, 12.0, 14.0, 15.0, 1.0, 0.0, 0.0, 1.0, 15.0, 11.0, 6.0, 5.0, 0.0, 0.0, 0.0, 6.0, 15.0, 12.0, 4.0, 0.0, 0.0, 0.0, 0.0, 6.0, 11.0, 8.0, 13.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 3.0, 0.0, 0.0, 2.0, 6.0, 1.0, 6.0, 14.0, 3.0, 0.0, 0.0, 1.0, 11.0, 16.0, 13.0, 8.0, 0.0, 0.0], [0.0, 0.0, 8.0, 14.0, 11.0, 2.0, 0.0, 0.0, 0.0, 6.0, 16.0, 7.0, 6.0, 13.0, 1.0, 0.0, 0.0, 8.0, 11.0, 0.0, 0.0, 10.0, 4.0, 0.0, 0.0, 7.0, 8.0, 0.0, 0.0, 5.0, 7.0, 0.0, 0.0, 8.0, 4.0, 0.0, 0.0, 7.0, 8.0, 0.0, 0.0, 2.0, 10.0, 0.0, 0.0, 7.0, 10.0, 0.0, 0.0, 0.0, 14.0, 3.0, 4.0, 15.0, 3.0, 0.0, 0.0, 0.0, 5.0, 16.0, 16.0, 7.0, 0.0, 0.0], [0.0, 0.0, 8.0, 16.0, 11.0, 1.0, 0.0, 0.0, 0.0, 0.0, 14.0, 2.0, 5.0, 9.0, 0.0, 0.0, 0.0, 0.0, 14.0, 1.0, 5.0, 12.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 16.0, 14.0, 1.0, 0.0, 0.0, 0.0, 0.0, 3.0, 7.0, 10.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 12.0, 0.0, 0.0, 0.0, 6.0, 1.0, 0.0, 2.0, 14.0, 0.0, 0.0, 0.0, 9.0, 16.0, 16.0, 16.0, 12.0, 0.0], [0.0, 0.0, 12.0, 9.0, 9.0, 8.0, 1.0, 0.0, 0.0, 2.0, 15.0, 8.0, 8.0, 8.0, 2.0, 0.0, 0.0, 8.0, 12.0, 8.0, 5.0, 0.0, 0.0, 0.0, 0.0, 8.0, 15.0, 9.0, 14.0, 9.0, 0.0, 0.0, 0.0, 2.0, 1.0, 0.0, 1.0, 14.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 11.0, 0.0, 0.0, 1.0, 8.0, 4.0, 5.0, 14.0, 9.0, 0.0, 0.0, 1.0, 11.0, 16.0, 12.0, 7.0, 0.0, 0.0], [0.0, 1.0, 14.0, 16.0, 12.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 9.0, 16.0, 6.0, 0.0, 0.0, 0.0, 3.0, 11.0, 0.0, 14.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 5.0, 0.0, 0.0, 0.0, 2.0, 15.0, 16.0, 14.0, 8.0, 12.0, 2.0, 0.0, 0.0, 11.0, 16.0, 16.0, 16.0, 15.0, 5.0], [0.0, 0.0, 5.0, 12.0, 16.0, 15.0, 2.0, 0.0, 0.0, 6.0, 15.0, 9.0, 10.0, 15.0, 4.0, 0.0, 0.0, 3.0, 14.0, 3.0, 1.0, 14.0, 4.0, 0.0, 0.0, 0.0, 10.0, 16.0, 15.0, 13.0, 1.0, 0.0, 0.0, 0.0, 6.0, 15.0, 15.0, 10.0, 0.0, 0.0, 0.0, 0.0, 15.0, 3.0, 2.0, 15.0, 3.0, 0.0, 0.0, 0.0, 16.0, 8.0, 1.0, 14.0, 4.0, 0.0, 0.0, 0.0, 4.0, 15.0, 16.0, 11.0, 2.0, 0.0], [0.0, 0.0, 13.0, 16.0, 11.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 11.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 14.0, 9.0, 15.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 15.0, 8.0, 11.0, 5.0, 0.0, 0.0, 9.0, 12.0, 13.0, 16.0, 16.0, 11.0], [0.0, 0.0, 10.0, 10.0, 12.0, 7.0, 0.0, 0.0, 0.0, 0.0, 15.0, 13.0, 5.0, 12.0, 5.0, 0.0, 0.0, 4.0, 13.0, 4.0, 0.0, 2.0, 8.0, 0.0, 0.0, 8.0, 4.0, 0.0, 0.0, 3.0, 8.0, 0.0, 0.0, 8.0, 4.0, 0.0, 0.0, 7.0, 5.0, 0.0, 0.0, 6.0, 6.0, 0.0, 0.0, 11.0, 2.0, 0.0, 0.0, 1.0, 13.0, 3.0, 3.0, 12.0, 0.0, 0.0, 0.0, 0.0, 7.0, 15.0, 16.0, 7.0, 0.0, 0.0], [0.0, 0.0, 10.0, 7.0, 3.0, 0.0, 0.0, 0.0, 0.0, 1.0, 15.0, 12.0, 14.0, 6.0, 0.0, 0.0, 0.0, 5.0, 12.0, 0.0, 2.0, 13.0, 0.0, 0.0, 0.0, 4.0, 12.0, 0.0, 0.0, 4.0, 7.0, 0.0, 0.0, 8.0, 5.0, 0.0, 0.0, 4.0, 8.0, 0.0, 0.0, 5.0, 8.0, 0.0, 0.0, 5.0, 10.0, 0.0, 0.0, 0.0, 14.0, 3.0, 4.0, 14.0, 6.0, 0.0, 0.0, 0.0, 7.0, 16.0, 16.0, 10.0, 0.0, 0.0], [0.0, 0.0, 8.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 9.0, 0.0, 0.0, 0.0, 0.0, 6.0, 12.0, 16.0, 15.0, 8.0, 5.0, 0.0, 0.0, 4.0, 15.0, 16.0, 16.0, 16.0, 16.0], [0.0, 0.0, 3.0, 16.0, 12.0, 12.0, 7.0, 0.0, 0.0, 0.0, 12.0, 13.0, 13.0, 16.0, 6.0, 0.0, 0.0, 0.0, 2.0, 0.0, 6.0, 14.0, 0.0, 0.0, 0.0, 0.0, 1.0, 4.0, 13.0, 10.0, 1.0, 0.0, 0.0, 0.0, 9.0, 16.0, 16.0, 16.0, 8.0, 0.0, 0.0, 0.0, 4.0, 12.0, 12.0, 7.0, 1.0, 0.0, 0.0, 0.0, 0.0, 14.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 2.0, 0.0, 0.0, 0.0], [0.0, 0.0, 1.0, 12.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 10.0, 2.0, 0.0, 0.0, 0.0, 0.0, 4.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 10.0, 11.0, 16.0, 14.0, 1.0, 0.0, 0.0, 2.0, 16.0, 10.0, 3.0, 7.0, 11.0, 0.0, 0.0, 0.0, 13.0, 8.0, 1.0, 8.0, 12.0, 0.0, 0.0, 0.0, 2.0, 12.0, 16.0, 15.0, 5.0, 0.0], [0.0, 0.0, 3.0, 15.0, 16.0, 12.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 6.0, 14.0, 6.0, 0.0, 0.0, 0.0, 0.0, 3.0, 1.0, 15.0, 6.0, 0.0, 0.0, 0.0, 0.0, 1.0, 14.0, 16.0, 3.0, 0.0, 0.0, 5.0, 8.0, 2.0, 13.0, 16.0, 3.0, 0.0, 0.0, 5.0, 16.0, 0.0, 0.0, 9.0, 13.0, 0.0, 0.0, 1.0, 15.0, 11.0, 8.0, 12.0, 16.0, 1.0, 0.0, 0.0, 3.0, 14.0, 16.0, 16.0, 9.0, 0.0], [0.0, 3.0, 15.0, 15.0, 3.0, 0.0, 0.0, 0.0, 0.0, 8.0, 14.0, 12.0, 10.0, 0.0, 0.0, 0.0, 0.0, 5.0, 11.0, 6.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 9.0, 0.0, 0.0, 0.0, 0.0, 1.0, 11.0, 16.0, 12.0, 8.0, 5.0, 0.0, 0.0, 5.0, 16.0, 16.0, 16.0, 16.0, 16.0, 0.0], [0.0, 0.0, 11.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 1.0, 15.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 13.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 11.0, 16.0, 9.0, 5.0, 1.0, 0.0, 0.0, 12.0, 16.0, 16.0, 16.0, 16.0, 12.0], [0.0, 0.0, 0.0, 4.0, 15.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 6.0, 0.0, 10.0, 1.0, 0.0, 0.0, 12.0, 12.0, 1.0, 7.0, 15.0, 1.0, 0.0, 5.0, 16.0, 3.0, 0.0, 14.0, 10.0, 0.0, 2.0, 16.0, 13.0, 8.0, 8.0, 16.0, 3.0, 0.0, 8.0, 16.0, 16.0, 16.0, 16.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 6.0, 0.0, 0.0], [0.0, 0.0, 0.0, 6.0, 14.0, 3.0, 0.0, 0.0, 0.0, 0.0, 5.0, 15.0, 7.0, 1.0, 0.0, 0.0, 0.0, 0.0, 10.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 16.0, 16.0, 11.0, 2.0, 0.0, 0.0, 2.0, 16.0, 13.0, 3.0, 8.0, 12.0, 0.0, 0.0, 0.0, 8.0, 15.0, 5.0, 4.0, 16.0, 2.0, 0.0, 0.0, 0.0, 4.0, 14.0, 16.0, 13.0, 0.0], [0.0, 0.0, 6.0, 14.0, 13.0, 3.0, 0.0, 0.0, 0.0, 0.0, 12.0, 2.0, 3.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 13.0, 1.0, 0.0, 0.0, 1.0, 7.0, 0.0, 0.0, 7.0, 11.0, 0.0, 0.0, 3.0, 13.0, 2.0, 0.0, 7.0, 13.0, 0.0, 0.0, 0.0, 5.0, 14.0, 14.0, 15.0, 6.0, 0.0], [0.0, 0.0, 10.0, 13.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 7.0, 11.0, 16.0, 14.0, 9.0, 4.0, 0.0, 0.0, 6.0, 15.0, 13.0, 14.0, 16.0, 15.0], [0.0, 0.0, 2.0, 15.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 3.0, 13.0, 11.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 13.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 11.0, 0.0, 0.0, 0.0, 3.0, 3.0, 1.0, 6.0, 15.0, 8.0, 0.0, 0.0, 11.0, 13.0, 0.0, 0.0, 10.0, 12.0, 0.0, 0.0, 3.0, 16.0, 12.0, 7.0, 16.0, 8.0, 0.0, 0.0, 0.0, 3.0, 15.0, 16.0, 10.0, 0.0, 0.0], [0.0, 0.0, 3.0, 13.0, 13.0, 3.0, 0.0, 0.0, 0.0, 0.0, 12.0, 7.0, 3.0, 13.0, 0.0, 0.0, 0.0, 0.0, 16.0, 0.0, 5.0, 12.0, 0.0, 0.0, 0.0, 0.0, 10.0, 13.0, 14.0, 16.0, 2.0, 0.0, 0.0, 0.0, 1.0, 7.0, 6.0, 13.0, 4.0, 0.0, 0.0, 1.0, 4.0, 0.0, 0.0, 5.0, 11.0, 0.0, 0.0, 2.0, 14.0, 6.0, 2.0, 9.0, 11.0, 0.0, 0.0, 0.0, 4.0, 10.0, 16.0, 16.0, 4.0, 0.0], [0.0, 0.0, 2.0, 13.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 15.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 9.0, 0.0, 0.0, 0.0, 0.0, 5.0, 12.0, 14.0, 16.0, 9.0, 2.0, 0.0, 0.0, 2.0, 12.0, 12.0, 12.0, 13.0, 8.0], [0.0, 0.0, 4.0, 15.0, 14.0, 12.0, 11.0, 0.0, 0.0, 0.0, 7.0, 15.0, 13.0, 16.0, 10.0, 0.0, 0.0, 0.0, 10.0, 7.0, 6.0, 16.0, 2.0, 0.0, 0.0, 0.0, 7.0, 1.0, 12.0, 12.0, 0.0, 0.0, 0.0, 0.0, 5.0, 8.0, 16.0, 12.0, 1.0, 0.0, 0.0, 4.0, 16.0, 16.0, 16.0, 14.0, 2.0, 0.0, 0.0, 0.0, 0.0, 15.0, 9.0, 1.0, 0.0, 0.0, 0.0, 0.0, 5.0, 15.0, 2.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 5.0, 12.0, 12.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 6.0, 1.0, 0.0, 0.0, 0.0, 0.0, 15.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 13.0, 2.0, 7.0, 4.0, 0.0, 0.0, 0.0, 7.0, 15.0, 16.0, 13.0, 15.0, 3.0, 0.0, 0.0, 3.0, 16.0, 9.0, 0.0, 1.0, 12.0, 0.0, 0.0, 0.0, 10.0, 12.0, 2.0, 6.0, 13.0, 0.0, 0.0, 0.0, 0.0, 8.0, 15.0, 16.0, 5.0, 0.0], [0.0, 0.0, 3.0, 11.0, 16.0, 15.0, 0.0, 0.0, 0.0, 0.0, 15.0, 16.0, 5.0, 13.0, 0.0, 0.0, 0.0, 2.0, 16.0, 9.0, 0.0, 12.0, 0.0, 0.0, 0.0, 1.0, 9.0, 15.0, 10.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 12.0, 1.0, 0.0, 0.0, 0.0, 2.0, 14.0, 2.0, 16.0, 5.0, 0.0, 0.0, 0.0, 8.0, 10.0, 1.0, 14.0, 4.0, 0.0, 0.0, 0.0, 3.0, 15.0, 16.0, 9.0, 0.0, 0.0], [0.0, 0.0, 0.0, 1.0, 15.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 13.0, 0.0, 9.0, 7.0, 0.0, 0.0, 2.0, 15.0, 4.0, 0.0, 15.0, 5.0, 0.0, 2.0, 13.0, 14.0, 11.0, 10.0, 15.0, 0.0, 0.0, 11.0, 15.0, 13.0, 16.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 6.0, 0.0, 0.0], [0.0, 0.0, 9.0, 15.0, 14.0, 2.0, 0.0, 0.0, 0.0, 0.0, 9.0, 3.0, 9.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 15.0, 2.0, 0.0, 0.0, 0.0, 0.0, 2.0, 10.0, 11.0, 15.0, 2.0, 0.0, 0.0, 3.0, 1.0, 0.0, 0.0, 14.0, 4.0, 0.0, 0.0, 10.0, 13.0, 7.0, 2.0, 12.0, 4.0, 0.0, 0.0, 0.0, 7.0, 14.0, 16.0, 10.0, 0.0, 0.0], [0.0, 0.0, 1.0, 14.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 14.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 12.0, 0.0, 0.0, 0.0, 0.0, 10.0, 14.0, 13.0, 16.0, 8.0, 3.0, 0.0, 0.0, 2.0, 11.0, 12.0, 15.0, 16.0, 15.0], [0.0, 0.0, 0.0, 1.0, 15.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 15.0, 0.0, 4.0, 0.0, 0.0, 0.0, 0.0, 13.0, 8.0, 1.0, 16.0, 3.0, 0.0, 0.0, 5.0, 15.0, 2.0, 5.0, 15.0, 0.0, 0.0, 5.0, 15.0, 16.0, 16.0, 16.0, 8.0, 0.0, 0.0, 14.0, 12.0, 12.0, 14.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 5.0, 0.0, 0.0], [0.0, 0.0, 6.0, 16.0, 12.0, 1.0, 0.0, 0.0, 0.0, 3.0, 16.0, 5.0, 9.0, 13.0, 0.0, 0.0, 0.0, 5.0, 12.0, 0.0, 0.0, 12.0, 6.0, 0.0, 0.0, 8.0, 14.0, 2.0, 0.0, 7.0, 8.0, 0.0, 0.0, 7.0, 12.0, 2.0, 0.0, 4.0, 8.0, 0.0, 0.0, 4.0, 12.0, 0.0, 0.0, 9.0, 7.0, 0.0, 0.0, 3.0, 16.0, 5.0, 7.0, 14.0, 2.0, 0.0, 0.0, 0.0, 7.0, 16.0, 13.0, 3.0, 0.0, 0.0], [0.0, 3.0, 10.0, 11.0, 12.0, 12.0, 6.0, 0.0, 0.0, 8.0, 14.0, 11.0, 8.0, 8.0, 4.0, 0.0, 0.0, 8.0, 10.0, 7.0, 3.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 14.0, 15.0, 4.0, 0.0, 0.0, 0.0, 2.0, 2.0, 0.0, 6.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 12.0, 0.0, 0.0, 0.0, 1.0, 8.0, 4.0, 10.0, 10.0, 0.0, 0.0, 0.0, 2.0, 15.0, 16.0, 13.0, 2.0, 0.0, 0.0], [0.0, 0.0, 14.0, 16.0, 15.0, 3.0, 0.0, 0.0, 0.0, 0.0, 6.0, 5.0, 13.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 10.0, 0.0, 0.0, 0.0, 1.0, 3.0, 0.0, 4.0, 15.0, 8.0, 0.0, 0.0, 6.0, 15.0, 0.0, 0.0, 9.0, 15.0, 0.0, 0.0, 5.0, 16.0, 5.0, 6.0, 14.0, 14.0, 0.0, 0.0, 1.0, 11.0, 16.0, 16.0, 14.0, 2.0, 0.0], [0.0, 0.0, 2.0, 14.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 16.0, 16.0, 13.0, 1.0, 0.0, 0.0, 2.0, 16.0, 8.0, 4.0, 7.0, 11.0, 0.0, 0.0, 0.0, 12.0, 11.0, 1.0, 8.0, 11.0, 0.0, 0.0, 0.0, 3.0, 12.0, 16.0, 15.0, 4.0, 0.0], [0.0, 1.0, 12.0, 16.0, 10.0, 1.0, 0.0, 0.0, 0.0, 8.0, 12.0, 3.0, 11.0, 8.0, 0.0, 0.0, 0.0, 12.0, 13.0, 6.0, 12.0, 8.0, 0.0, 0.0, 0.0, 3.0, 15.0, 16.0, 16.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 11.0, 0.0, 0.0, 0.0, 13.0, 0.0, 0.0, 5.0, 12.0, 0.0, 0.0, 0.0, 12.0, 16.0, 16.0, 16.0, 8.0, 0.0], [0.0, 0.0, 0.0, 12.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 14.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 14.0, 1.0, 4.0, 2.0, 0.0, 0.0, 0.0, 4.0, 16.0, 15.0, 12.0, 15.0, 5.0, 0.0, 0.0, 3.0, 16.0, 6.0, 0.0, 5.0, 11.0, 0.0, 0.0, 0.0, 9.0, 11.0, 4.0, 13.0, 5.0, 0.0, 0.0, 0.0, 1.0, 11.0, 16.0, 9.0, 0.0, 0.0], [0.0, 0.0, 11.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 16.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 7.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 14.0, 6.0, 0.0, 0.0, 0.0, 0.0, 6.0, 10.0, 15.0, 13.0, 8.0, 3.0, 0.0, 0.0, 8.0, 16.0, 16.0, 16.0, 16.0, 12.0], [0.0, 0.0, 4.0, 15.0, 16.0, 13.0, 13.0, 10.0, 0.0, 0.0, 12.0, 13.0, 10.0, 15.0, 14.0, 2.0, 0.0, 2.0, 16.0, 6.0, 2.0, 14.0, 6.0, 0.0, 0.0, 1.0, 5.0, 0.0, 9.0, 11.0, 0.0, 0.0, 0.0, 0.0, 7.0, 12.0, 16.0, 14.0, 6.0, 0.0, 0.0, 0.0, 8.0, 15.0, 15.0, 11.0, 2.0, 0.0, 0.0, 0.0, 2.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 15.0, 4.0, 0.0, 0.0, 0.0], [0.0, 0.0, 9.0, 12.0, 12.0, 12.0, 6.0, 0.0, 0.0, 1.0, 14.0, 6.0, 4.0, 4.0, 2.0, 0.0, 0.0, 4.0, 15.0, 12.0, 9.0, 1.0, 0.0, 0.0, 0.0, 4.0, 15.0, 8.0, 11.0, 11.0, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 0.0, 14.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 8.0, 0.0, 0.0, 0.0, 10.0, 1.0, 0.0, 8.0, 8.0, 0.0, 0.0, 0.0, 9.0, 16.0, 16.0, 15.0, 4.0, 0.0], [0.0, 0.0, 0.0, 6.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 15.0, 3.0, 6.0, 15.0, 0.0, 0.0, 1.0, 14.0, 11.0, 0.0, 13.0, 13.0, 0.0, 0.0, 10.0, 16.0, 13.0, 12.0, 16.0, 5.0, 0.0, 0.0, 11.0, 12.0, 12.0, 16.0, 14.0, 2.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 3.0, 0.0, 0.0], [0.0, 0.0, 0.0, 9.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 8.0, 0.0, 7.0, 1.0, 0.0, 0.0, 10.0, 13.0, 1.0, 6.0, 16.0, 5.0, 0.0, 6.0, 16.0, 11.0, 8.0, 14.0, 15.0, 0.0, 0.0, 13.0, 16.0, 16.0, 16.0, 16.0, 9.0, 0.0, 0.0, 2.0, 2.0, 0.0, 11.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 15.0, 2.0, 0.0, 0.0], [0.0, 0.0, 6.0, 16.0, 16.0, 16.0, 12.0, 0.0, 0.0, 0.0, 13.0, 10.0, 8.0, 16.0, 5.0, 0.0, 0.0, 1.0, 15.0, 1.0, 9.0, 12.0, 0.0, 0.0, 0.0, 0.0, 4.0, 0.0, 13.0, 7.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 16.0, 16.0, 9.0, 0.0, 0.0, 0.0, 7.0, 14.0, 12.0, 8.0, 3.0, 0.0, 0.0, 0.0, 3.0, 15.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 15.0, 0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 8.0, 12.0, 5.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 8.0, 12.0, 1.0, 0.0, 0.0, 0.0, 0.0, 14.0, 0.0, 12.0, 3.0, 0.0, 0.0, 0.0, 0.0, 3.0, 0.0, 12.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 6.0, 4.0, 4.0, 0.0, 0.0, 0.0, 14.0, 16.0, 16.0, 16.0, 14.0, 0.0], [0.0, 0.0, 10.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 7.0, 13.0, 4.0, 14.0, 7.0, 0.0, 0.0, 0.0, 7.0, 13.0, 2.0, 7.0, 8.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 16.0, 5.0, 0.0, 0.0, 0.0, 1.0, 12.0, 13.0, 15.0, 6.0, 0.0, 0.0, 0.0, 3.0, 16.0, 2.0, 4.0, 13.0, 6.0, 0.0, 0.0, 4.0, 16.0, 4.0, 1.0, 11.0, 12.0, 0.0, 0.0, 0.0, 7.0, 15.0, 16.0, 14.0, 2.0, 0.0], [0.0, 0.0, 9.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 13.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 7.0, 9.0, 15.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 13.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 16.0, 8.0, 6.0, 0.0, 0.0, 0.0, 9.0, 15.0, 12.0, 16.0, 16.0, 9.0], [0.0, 3.0, 15.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 11.0, 15.0, 2.0, 0.0, 0.0, 0.0, 11.0, 10.0, 4.0, 16.0, 2.0, 0.0, 0.0, 0.0, 2.0, 4.0, 6.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 14.0, 13.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 16.0, 16.0, 16.0, 13.0, 1.0, 0.0, 3.0, 16.0, 12.0, 8.0, 12.0, 11.0, 1.0], [0.0, 0.0, 7.0, 12.0, 13.0, 4.0, 0.0, 0.0, 0.0, 0.0, 16.0, 6.0, 6.0, 2.0, 0.0, 0.0, 0.0, 4.0, 13.0, 7.0, 8.0, 2.0, 0.0, 0.0, 0.0, 7.0, 16.0, 10.0, 10.0, 14.0, 1.0, 0.0, 0.0, 2.0, 2.0, 0.0, 0.0, 10.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 8.0, 0.0, 0.0, 0.0, 11.0, 1.0, 0.0, 10.0, 8.0, 0.0, 0.0, 0.0, 8.0, 15.0, 15.0, 15.0, 2.0, 0.0], [0.0, 0.0, 4.0, 16.0, 8.0, 11.0, 7.0, 0.0, 0.0, 0.0, 10.0, 16.0, 15.0, 16.0, 6.0, 0.0, 0.0, 3.0, 16.0, 4.0, 6.0, 15.0, 0.0, 0.0, 0.0, 3.0, 8.0, 0.0, 13.0, 8.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 16.0, 13.0, 6.0, 0.0, 0.0, 0.0, 3.0, 14.0, 13.0, 9.0, 3.0, 0.0, 0.0, 0.0, 0.0, 14.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 15.0, 2.0, 0.0, 0.0, 0.0], [0.0, 0.0, 6.0, 12.0, 13.0, 2.0, 0.0, 0.0, 0.0, 3.0, 16.0, 6.0, 1.0, 15.0, 0.0, 0.0, 0.0, 5.0, 16.0, 13.0, 12.0, 16.0, 2.0, 0.0, 0.0, 2.0, 13.0, 16.0, 12.0, 15.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 8.0, 0.0, 0.0, 0.0, 1.0, 0.0, 0.0, 8.0, 8.0, 0.0, 0.0, 3.0, 16.0, 2.0, 0.0, 10.0, 7.0, 0.0, 0.0, 0.0, 5.0, 11.0, 16.0, 13.0, 1.0, 0.0], [0.0, 2.0, 16.0, 16.0, 16.0, 16.0, 4.0, 0.0, 0.0, 4.0, 16.0, 6.0, 8.0, 7.0, 1.0, 0.0, 0.0, 4.0, 16.0, 7.0, 2.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 16.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 5.0, 4.0, 10.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 14.0, 6.0, 0.0, 0.0, 2.0, 14.0, 4.0, 4.0, 16.0, 8.0, 0.0, 0.0, 3.0, 13.0, 16.0, 16.0, 15.0, 1.0, 0.0], [0.0, 0.0, 0.0, 9.0, 13.0, 0.0, 6.0, 8.0, 0.0, 0.0, 3.0, 15.0, 3.0, 0.0, 15.0, 9.0, 0.0, 1.0, 13.0, 12.0, 4.0, 7.0, 15.0, 3.0, 0.0, 7.0, 16.0, 16.0, 16.0, 16.0, 10.0, 0.0, 0.0, 6.0, 12.0, 10.0, 14.0, 14.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 11.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 10.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 15.0, 0.0, 0.0, 9.0, 5.0, 0.0, 0.0, 14.0, 10.0, 0.0, 7.0, 16.0, 4.0, 0.0, 5.0, 16.0, 7.0, 5.0, 16.0, 6.0, 0.0, 0.0, 11.0, 16.0, 16.0, 16.0, 14.0, 0.0, 0.0, 0.0, 3.0, 4.0, 11.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 12.0, 0.0, 0.0, 0.0], [0.0, 0.0, 11.0, 14.0, 5.0, 0.0, 0.0, 0.0, 0.0, 6.0, 12.0, 4.0, 13.0, 4.0, 0.0, 0.0, 0.0, 10.0, 10.0, 0.0, 4.0, 14.0, 0.0, 0.0, 0.0, 7.0, 13.0, 5.0, 13.0, 16.0, 2.0, 0.0, 0.0, 1.0, 10.0, 12.0, 12.0, 14.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 12.0, 0.0, 0.0, 0.0, 1.0, 0.0, 0.0, 1.0, 15.0, 0.0, 0.0, 0.0, 11.0, 8.0, 4.0, 5.0, 16.0, 1.0], [0.0, 0.0, 9.0, 13.0, 16.0, 5.0, 0.0, 0.0, 0.0, 3.0, 16.0, 8.0, 4.0, 13.0, 0.0, 0.0, 0.0, 6.0, 10.0, 1.0, 0.0, 9.0, 2.0, 0.0, 0.0, 5.0, 4.0, 0.0, 0.0, 4.0, 8.0, 0.0, 0.0, 8.0, 4.0, 0.0, 0.0, 4.0, 8.0, 0.0, 0.0, 6.0, 6.0, 0.0, 0.0, 4.0, 9.0, 0.0, 0.0, 0.0, 13.0, 2.0, 0.0, 7.0, 8.0, 0.0, 0.0, 0.0, 8.0, 12.0, 13.0, 15.0, 2.0, 0.0], [0.0, 0.0, 2.0, 11.0, 14.0, 8.0, 1.0, 0.0, 0.0, 3.0, 14.0, 9.0, 8.0, 13.0, 4.0, 0.0, 0.0, 6.0, 11.0, 1.0, 4.0, 14.0, 1.0, 0.0, 0.0, 0.0, 9.0, 14.0, 15.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 14.0, 10.0, 0.0, 0.0, 0.0, 0.0, 4.0, 12.0, 2.0, 13.0, 5.0, 0.0, 0.0, 0.0, 4.0, 11.0, 1.0, 11.0, 8.0, 0.0, 0.0, 0.0, 1.0, 9.0, 16.0, 14.0, 2.0, 0.0], [0.0, 1.0, 11.0, 13.0, 10.0, 1.0, 0.0, 0.0, 0.0, 8.0, 12.0, 3.0, 13.0, 10.0, 0.0, 0.0, 0.0, 8.0, 11.0, 2.0, 11.0, 16.0, 1.0, 0.0, 0.0, 1.0, 15.0, 16.0, 16.0, 16.0, 2.0, 0.0, 0.0, 0.0, 2.0, 8.0, 3.0, 9.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 9.0, 0.0, 0.0, 2.0, 12.0, 3.0, 0.0, 9.0, 12.0, 0.0, 0.0, 1.0, 9.0, 15.0, 16.0, 13.0, 3.0, 0.0], [0.0, 0.0, 8.0, 16.0, 15.0, 6.0, 0.0, 0.0, 0.0, 5.0, 14.0, 4.0, 4.0, 15.0, 0.0, 0.0, 0.0, 6.0, 13.0, 0.0, 1.0, 15.0, 2.0, 0.0, 0.0, 1.0, 11.0, 11.0, 13.0, 10.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 12.0, 9.0, 5.0, 13.0, 2.0, 0.0, 0.0, 0.0, 16.0, 2.0, 1.0, 13.0, 8.0, 0.0, 0.0, 0.0, 8.0, 15.0, 16.0, 14.0, 1.0, 0.0], [0.0, 0.0, 3.0, 12.0, 12.0, 2.0, 0.0, 0.0, 0.0, 0.0, 11.0, 10.0, 7.0, 14.0, 2.0, 0.0, 0.0, 0.0, 11.0, 1.0, 0.0, 8.0, 4.0, 0.0, 0.0, 2.0, 14.0, 2.0, 0.0, 5.0, 7.0, 0.0, 0.0, 8.0, 9.0, 0.0, 0.0, 6.0, 8.0, 0.0, 0.0, 3.0, 13.0, 0.0, 0.0, 12.0, 7.0, 0.0, 0.0, 0.0, 15.0, 6.0, 11.0, 12.0, 0.0, 0.0, 0.0, 0.0, 4.0, 15.0, 11.0, 1.0, 0.0, 0.0], [0.0, 0.0, 5.0, 12.0, 12.0, 9.0, 3.0, 0.0, 0.0, 0.0, 8.0, 16.0, 16.0, 16.0, 4.0, 0.0, 0.0, 0.0, 9.0, 16.0, 16.0, 14.0, 1.0, 0.0, 0.0, 0.0, 11.0, 16.0, 16.0, 12.0, 0.0, 0.0, 0.0, 0.0, 12.0, 16.0, 16.0, 12.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 16.0, 12.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 16.0, 12.0, 0.0, 0.0, 0.0, 0.0, 6.0, 12.0, 12.0, 6.0, 0.0, 0.0], [0.0, 1.0, 15.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 11.0, 14.0, 0.0, 0.0, 0.0, 0.0, 12.0, 10.0, 5.0, 16.0, 0.0, 0.0, 0.0, 0.0, 4.0, 7.0, 8.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 15.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 4.0, 15.0, 14.0, 10.0, 11.0, 12.0, 1.0, 0.0, 0.0, 13.0, 16.0, 16.0, 15.0, 11.0, 1.0], [0.0, 0.0, 6.0, 12.0, 13.0, 9.0, 0.0, 0.0, 0.0, 7.0, 14.0, 6.0, 7.0, 16.0, 3.0, 0.0, 0.0, 4.0, 6.0, 5.0, 14.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 14.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 14.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 7.0, 0.0, 0.0, 0.0, 3.0, 1.0, 0.0, 9.0, 8.0, 0.0, 0.0, 0.0, 5.0, 14.0, 12.0, 13.0, 2.0, 0.0], [0.0, 0.0, 0.0, 8.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 7.0, 1.0, 9.0, 3.0, 0.0, 2.0, 15.0, 12.0, 0.0, 13.0, 16.0, 4.0, 0.0, 9.0, 16.0, 10.0, 10.0, 16.0, 11.0, 0.0, 0.0, 4.0, 15.0, 16.0, 16.0, 14.0, 1.0, 0.0, 0.0, 0.0, 0.0, 1.0, 15.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 14.0, 0.0, 0.0, 0.0], [0.0, 1.0, 8.0, 15.0, 16.0, 16.0, 9.0, 0.0, 0.0, 8.0, 16.0, 12.0, 8.0, 8.0, 5.0, 0.0, 0.0, 8.0, 14.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 16.0, 12.0, 0.0, 0.0, 0.0, 0.0, 8.0, 13.0, 8.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0, 12.0, 15.0, 5.0, 0.0, 0.0, 0.0], [0.0, 0.0, 5.0, 13.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 13.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 16.0, 14.0, 9.0, 0.0, 0.0, 0.0, 2.0, 16.0, 8.0, 3.0, 8.0, 9.0, 0.0, 0.0, 0.0, 14.0, 2.0, 0.0, 3.0, 16.0, 1.0, 0.0, 0.0, 6.0, 15.0, 16.0, 14.0, 5.0, 0.0], [0.0, 0.0, 6.0, 12.0, 10.0, 14.0, 8.0, 0.0, 0.0, 0.0, 15.0, 14.0, 13.0, 16.0, 3.0, 0.0, 0.0, 1.0, 12.0, 0.0, 9.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 8.0, 2.0, 0.0, 0.0, 0.0, 9.0, 16.0, 16.0, 16.0, 9.0, 0.0, 0.0, 0.0, 2.0, 15.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 11.0, 0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 7.0, 15.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 16.0, 7.0, 6.0, 15.0, 3.0, 0.0, 0.0, 4.0, 16.0, 0.0, 7.0, 13.0, 4.0, 0.0, 0.0, 0.0, 16.0, 2.0, 8.0, 14.0, 8.0, 0.0, 0.0, 0.0, 12.0, 14.0, 14.0, 7.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 3.0, 14.0, 2.0, 0.0, 0.0, 0.0, 0.0, 5.0, 11.0, 10.0, 10.0, 0.0, 0.0], [0.0, 1.0, 11.0, 16.0, 11.0, 1.0, 0.0, 0.0, 0.0, 6.0, 11.0, 16.0, 16.0, 7.0, 0.0, 0.0, 0.0, 1.0, 2.0, 9.0, 16.0, 11.0, 0.0, 0.0, 0.0, 2.0, 14.0, 12.0, 16.0, 12.0, 0.0, 0.0, 0.0, 0.0, 3.0, 8.0, 4.0, 13.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 8.0, 0.0, 0.0, 0.0, 4.0, 12.0, 16.0, 14.0, 6.0, 0.0, 0.0, 0.0, 14.0, 8.0, 4.0, 0.0, 0.0, 0.0], [0.0, 0.0, 2.0, 14.0, 9.0, 1.0, 0.0, 0.0, 0.0, 1.0, 12.0, 12.0, 11.0, 8.0, 0.0, 0.0, 0.0, 4.0, 14.0, 1.0, 0.0, 13.0, 3.0, 0.0, 0.0, 8.0, 13.0, 0.0, 0.0, 10.0, 6.0, 0.0, 0.0, 5.0, 16.0, 1.0, 0.0, 8.0, 9.0, 0.0, 0.0, 0.0, 16.0, 0.0, 0.0, 11.0, 9.0, 0.0, 0.0, 0.0, 13.0, 11.0, 10.0, 15.0, 4.0, 0.0, 0.0, 0.0, 3.0, 15.0, 16.0, 5.0, 0.0, 0.0], [0.0, 0.0, 6.0, 10.0, 8.0, 3.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 4.0, 9.0, 12.0, 11.0, 2.0, 0.0], [0.0, 0.0, 8.0, 15.0, 15.0, 2.0, 0.0, 0.0, 0.0, 2.0, 16.0, 13.0, 12.0, 10.0, 0.0, 0.0, 0.0, 3.0, 15.0, 1.0, 9.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 15.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 13.0, 1.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 16.0, 13.0, 7.0, 6.0, 1.0, 0.0, 0.0, 7.0, 5.0, 12.0, 16.0, 15.0, 2.0], [0.0, 0.0, 7.0, 13.0, 16.0, 5.0, 0.0, 0.0, 0.0, 6.0, 15.0, 7.0, 6.0, 14.0, 0.0, 0.0, 0.0, 9.0, 5.0, 1.0, 10.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 6.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 12.0, 0.0, 0.0, 0.0, 4.0, 5.0, 2.0, 5.0, 13.0, 0.0, 0.0, 0.0, 6.0, 12.0, 16.0, 14.0, 5.0, 0.0], [0.0, 0.0, 0.0, 6.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 10.0, 0.0, 8.0, 6.0, 0.0, 2.0, 16.0, 11.0, 0.0, 9.0, 16.0, 6.0, 0.0, 8.0, 16.0, 14.0, 14.0, 16.0, 13.0, 1.0, 0.0, 6.0, 12.0, 12.0, 12.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 14.0, 0.0, 0.0, 0.0], [0.0, 1.0, 7.0, 15.0, 16.0, 16.0, 14.0, 0.0, 0.0, 10.0, 16.0, 11.0, 6.0, 3.0, 1.0, 0.0, 0.0, 7.0, 16.0, 16.0, 12.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 12.0, 16.0, 4.0, 0.0, 0.0, 0.0, 1.0, 4.0, 0.0, 13.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 13.0, 15.0, 5.0, 0.0, 0.0, 0.0], [0.0, 0.0, 2.0, 12.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 10.0, 10.0, 5.0, 0.0, 0.0, 0.0, 5.0, 16.0, 15.0, 12.0, 14.0, 6.0, 0.0, 0.0, 4.0, 16.0, 3.0, 0.0, 8.0, 12.0, 0.0, 0.0, 0.0, 14.0, 9.0, 4.0, 11.0, 13.0, 0.0, 0.0, 0.0, 3.0, 14.0, 16.0, 12.0, 3.0, 0.0], [0.0, 0.0, 3.0, 15.0, 16.0, 16.0, 12.0, 0.0, 0.0, 0.0, 12.0, 12.0, 7.0, 16.0, 6.0, 0.0, 0.0, 4.0, 12.0, 0.0, 9.0, 13.0, 0.0, 0.0, 0.0, 0.0, 1.0, 1.0, 13.0, 7.0, 0.0, 0.0, 0.0, 0.0, 8.0, 13.0, 16.0, 16.0, 6.0, 0.0, 0.0, 0.0, 12.0, 15.0, 12.0, 6.0, 1.0, 0.0, 0.0, 0.0, 0.0, 15.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 2.0, 0.0, 0.0, 0.0], [0.0, 0.0, 14.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 4.0, 13.0, 8.0, 8.0, 0.0, 0.0, 0.0, 12.0, 7.0, 12.0, 14.0, 5.0, 0.0, 0.0, 0.0, 4.0, 15.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 10.0, 11.0, 2.0, 0.0, 0.0, 0.0, 0.0, 13.0, 0.0, 12.0, 3.0, 0.0, 0.0, 0.0, 0.0, 14.0, 15.0, 12.0, 1.0, 0.0, 0.0], [0.0, 0.0, 12.0, 15.0, 13.0, 2.0, 0.0, 0.0, 0.0, 1.0, 16.0, 5.0, 5.0, 13.0, 0.0, 0.0, 0.0, 1.0, 7.0, 13.0, 0.0, 8.0, 4.0, 0.0, 0.0, 6.0, 11.0, 13.0, 13.0, 15.0, 4.0, 0.0, 0.0, 1.0, 9.0, 12.0, 12.0, 13.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 14.0, 0.0, 0.0, 0.0, 10.0, 13.0, 12.0, 15.0, 6.0, 0.0], [0.0, 0.0, 3.0, 12.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 12.0, 12.0, 4.0, 0.0, 0.0, 0.0, 2.0, 14.0, 0.0, 1.0, 13.0, 0.0, 0.0, 0.0, 1.0, 12.0, 0.0, 0.0, 7.0, 5.0, 0.0, 0.0, 2.0, 13.0, 0.0, 0.0, 2.0, 10.0, 0.0, 0.0, 0.0, 15.0, 3.0, 0.0, 3.0, 14.0, 0.0, 0.0, 0.0, 7.0, 12.0, 8.0, 11.0, 12.0, 0.0, 0.0, 0.0, 2.0, 11.0, 16.0, 11.0, 2.0, 0.0], [0.0, 0.0, 3.0, 13.0, 10.0, 1.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 14.0, 16.0, 5.0, 0.0, 0.0], [0.0, 0.0, 13.0, 16.0, 13.0, 1.0, 0.0, 0.0, 0.0, 6.0, 16.0, 10.0, 15.0, 5.0, 0.0, 0.0, 0.0, 3.0, 15.0, 0.0, 11.0, 9.0, 0.0, 0.0, 0.0, 0.0, 4.0, 0.0, 12.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 16.0, 13.0, 10.0, 1.0, 0.0, 0.0, 13.0, 16.0, 16.0, 16.0, 16.0, 9.0], [0.0, 0.0, 6.0, 14.0, 16.0, 11.0, 0.0, 0.0, 0.0, 6.0, 14.0, 7.0, 4.0, 16.0, 4.0, 0.0, 0.0, 7.0, 7.0, 0.0, 5.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 14.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 13.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 8.0, 0.0, 0.0, 0.0, 0.0, 2.0, 4.0, 10.0, 12.0, 0.0, 0.0, 0.0, 9.0, 16.0, 16.0, 11.0, 3.0, 0.0], [0.0, 0.0, 0.0, 8.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 1.0, 13.0, 12.0, 0.0, 4.0, 13.0, 1.0, 0.0, 6.0, 16.0, 9.0, 7.0, 15.0, 10.0, 0.0, 0.0, 9.0, 16.0, 16.0, 16.0, 15.0, 2.0, 0.0, 0.0, 0.0, 4.0, 1.0, 14.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 13.0, 0.0, 0.0, 0.0], [0.0, 0.0, 5.0, 10.0, 14.0, 16.0, 11.0, 0.0, 0.0, 2.0, 15.0, 15.0, 5.0, 4.0, 1.0, 0.0, 0.0, 2.0, 16.0, 9.0, 4.0, 1.0, 0.0, 0.0, 0.0, 2.0, 16.0, 16.0, 16.0, 11.0, 0.0, 0.0, 0.0, 2.0, 9.0, 1.0, 0.0, 14.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 14.0, 3.0, 0.0, 0.0, 0.0, 0.0, 2.0, 13.0, 7.0, 0.0, 0.0, 0.0, 0.0, 7.0, 14.0, 7.0, 0.0, 0.0, 0.0], [0.0, 0.0, 1.0, 9.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0, 9.0, 14.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 14.0, 12.0, 16.0, 13.0, 3.0, 0.0, 0.0, 2.0, 15.0, 13.0, 4.0, 3.0, 13.0, 0.0, 0.0, 0.0, 9.0, 8.0, 2.0, 4.0, 16.0, 1.0, 0.0, 0.0, 0.0, 9.0, 12.0, 12.0, 8.0, 0.0], [0.0, 0.0, 5.0, 12.0, 16.0, 12.0, 4.0, 0.0, 0.0, 1.0, 12.0, 7.0, 5.0, 16.0, 5.0, 0.0, 0.0, 2.0, 9.0, 0.0, 8.0, 9.0, 0.0, 0.0, 0.0, 0.0, 2.0, 3.0, 12.0, 1.0, 0.0, 0.0, 0.0, 4.0, 12.0, 14.0, 15.0, 12.0, 4.0, 0.0, 0.0, 5.0, 4.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 12.0, 0.0, 0.0, 0.0, 0.0], [0.0, 2.0, 15.0, 12.0, 1.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 13.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 3.0, 15.0, 12.0, 5.0, 0.0, 0.0, 0.0, 5.0, 16.0, 16.0, 11.0, 0.0, 0.0, 0.0, 2.0, 13.0, 13.0, 14.0, 2.0, 0.0, 0.0, 0.0, 5.0, 13.0, 0.0, 6.0, 8.0, 0.0, 0.0, 0.0, 4.0, 11.0, 0.0, 1.0, 15.0, 0.0, 0.0, 0.0, 2.0, 12.0, 16.0, 16.0, 7.0, 0.0, 0.0], [0.0, 0.0, 9.0, 13.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 7.0, 11.0, 3.0, 0.0, 0.0, 0.0, 4.0, 7.0, 8.0, 5.0, 8.0, 0.0, 0.0, 0.0, 8.0, 10.0, 15.0, 14.0, 9.0, 0.0, 0.0, 0.0, 0.0, 4.0, 7.0, 9.0, 13.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 11.0, 0.0, 0.0, 0.0, 2.0, 0.0, 2.0, 12.0, 6.0, 0.0, 0.0, 0.0, 10.0, 14.0, 14.0, 7.0, 0.0, 0.0], [0.0, 0.0, 5.0, 15.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 6.0, 11.0, 6.0, 0.0, 0.0, 0.0, 7.0, 9.0, 0.0, 0.0, 14.0, 0.0, 0.0, 0.0, 5.0, 9.0, 0.0, 0.0, 8.0, 6.0, 0.0, 0.0, 4.0, 13.0, 0.0, 0.0, 4.0, 8.0, 0.0, 0.0, 1.0, 16.0, 0.0, 0.0, 4.0, 11.0, 0.0, 0.0, 0.0, 15.0, 7.0, 5.0, 16.0, 4.0, 0.0, 0.0, 0.0, 2.0, 15.0, 15.0, 5.0, 0.0, 0.0], [0.0, 0.0, 12.0, 14.0, 6.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 7.0, 13.0, 10.0, 0.0, 0.0, 0.0, 0.0, 16.0, 2.0, 1.0, 13.0, 4.0, 0.0, 0.0, 0.0, 9.0, 13.0, 8.0, 16.0, 2.0, 0.0, 0.0, 0.0, 6.0, 16.0, 16.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 3.0, 16.0, 0.0, 0.0, 0.0, 0.0, 1.0, 6.0, 13.0, 10.0, 0.0, 0.0, 0.0, 0.0, 13.0, 9.0, 8.0, 2.0, 0.0, 0.0], [0.0, 0.0, 8.0, 15.0, 16.0, 16.0, 6.0, 0.0, 0.0, 2.0, 16.0, 11.0, 5.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 16.0, 13.0, 0.0, 0.0, 0.0, 0.0, 10.0, 13.0, 6.0, 15.0, 5.0, 0.0, 0.0, 0.0, 3.0, 1.0, 0.0, 11.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 8.0, 0.0, 0.0, 0.0], [0.0, 0.0, 6.0, 11.0, 16.0, 16.0, 3.0, 0.0, 0.0, 5.0, 16.0, 15.0, 5.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 15.0, 2.0, 0.0, 0.0, 0.0, 0.0, 12.0, 15.0, 12.0, 12.0, 0.0, 0.0, 0.0, 0.0, 2.0, 1.0, 4.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 13.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 6.0, 13.0, 3.0, 0.0, 0.0, 0.0, 0.0, 1.0, 14.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 15.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 15.0, 16.0, 13.0, 5.0, 0.0, 0.0, 0.0, 10.0, 16.0, 5.0, 11.0, 14.0, 0.0, 0.0, 0.0, 7.0, 15.0, 5.0, 10.0, 14.0, 0.0, 0.0, 0.0, 0.0, 3.0, 14.0, 16.0, 9.0, 0.0], [0.0, 0.0, 7.0, 16.0, 16.0, 16.0, 6.0, 0.0, 0.0, 0.0, 12.0, 13.0, 5.0, 1.0, 0.0, 0.0, 0.0, 0.0, 15.0, 7.0, 1.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 16.0, 13.0, 0.0, 0.0, 0.0, 0.0, 11.0, 15.0, 5.0, 16.0, 4.0, 0.0, 0.0, 0.0, 5.0, 3.0, 1.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 15.0, 1.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 12.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 15.0, 13.0, 4.0, 0.0, 0.0, 0.0, 5.0, 16.0, 6.0, 3.0, 12.0, 0.0, 0.0, 0.0, 7.0, 14.0, 1.0, 0.0, 11.0, 5.0, 0.0, 0.0, 3.0, 14.0, 0.0, 0.0, 7.0, 10.0, 0.0, 0.0, 1.0, 14.0, 2.0, 0.0, 9.0, 9.0, 0.0, 0.0, 0.0, 9.0, 11.0, 6.0, 15.0, 5.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 11.0, 0.0, 0.0], [0.0, 0.0, 10.0, 13.0, 9.0, 1.0, 0.0, 0.0, 0.0, 2.0, 16.0, 7.0, 10.0, 8.0, 0.0, 0.0, 0.0, 0.0, 12.0, 12.0, 7.0, 11.0, 0.0, 0.0, 0.0, 3.0, 16.0, 16.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 5.0, 8.0, 12.0, 10.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 15.0, 0.0, 0.0, 0.0, 11.0, 16.0, 16.0, 16.0, 8.0, 0.0], [0.0, 1.0, 13.0, 14.0, 2.0, 0.0, 0.0, 0.0, 0.0, 7.0, 14.0, 9.0, 5.0, 0.0, 0.0, 0.0, 0.0, 6.0, 13.0, 3.0, 12.0, 6.0, 4.0, 0.0, 0.0, 1.0, 14.0, 12.0, 14.0, 16.0, 4.0, 0.0, 0.0, 0.0, 2.0, 16.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 11.0, 14.0, 8.0, 13.0, 0.0, 0.0, 0.0, 4.0, 16.0, 4.0, 2.0, 14.0, 2.0, 0.0, 0.0, 1.0, 12.0, 14.0, 13.0, 6.0, 0.0, 0.0], [0.0, 0.0, 5.0, 15.0, 14.0, 3.0, 0.0, 0.0, 0.0, 0.0, 12.0, 7.0, 2.0, 12.0, 0.0, 0.0, 0.0, 0.0, 16.0, 3.0, 0.0, 12.0, 1.0, 0.0, 0.0, 0.0, 12.0, 11.0, 10.0, 15.0, 0.0, 0.0, 0.0, 0.0, 2.0, 10.0, 15.0, 13.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 4.0, 0.0, 0.0, 0.0, 0.0, 6.0, 12.0, 15.0, 2.0, 0.0, 0.0, 0.0, 7.0, 13.0, 4.0, 0.0, 0.0, 0.0], [0.0, 0.0, 4.0, 15.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 13.0, 11.0, 11.0, 15.0, 0.0, 0.0, 0.0, 0.0, 15.0, 13.0, 15.0, 16.0, 7.0, 0.0, 0.0, 0.0, 7.0, 16.0, 16.0, 11.0, 2.0, 0.0, 0.0, 0.0, 5.0, 15.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 16.0, 9.0, 12.0, 11.0, 0.0, 0.0, 0.0, 2.0, 16.0, 6.0, 8.0, 16.0, 0.0, 0.0, 0.0, 0.0, 7.0, 14.0, 13.0, 8.0, 0.0, 0.0], [0.0, 0.0, 0.0, 3.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 3.0, 14.0, 10.0, 0.0, 9.0, 11.0, 0.0, 1.0, 13.0, 11.0, 0.0, 2.0, 15.0, 8.0, 0.0, 7.0, 16.0, 9.0, 11.0, 16.0, 15.0, 1.0, 0.0, 6.0, 15.0, 13.0, 12.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 15.0, 2.0, 0.0, 0.0, 0.0, 0.0, 1.0, 15.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 15.0, 2.0, 0.0, 0.0], [0.0, 0.0, 6.0, 15.0, 12.0, 5.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 16.0, 13.0, 1.0, 0.0, 0.0, 0.0, 8.0, 16.0, 16.0, 12.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 16.0, 16.0, 16.0, 5.0, 0.0, 0.0, 0.0, 5.0, 16.0, 16.0, 16.0, 1.0, 0.0, 0.0, 0.0, 3.0, 15.0, 16.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 15.0, 3.0, 0.0, 0.0], [0.0, 0.0, 5.0, 10.0, 11.0, 13.0, 12.0, 0.0, 0.0, 2.0, 14.0, 8.0, 8.0, 13.0, 10.0, 0.0, 0.0, 1.0, 6.0, 0.0, 4.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 15.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 15.0, 8.0, 1.0, 0.0, 0.0, 2.0, 15.0, 15.0, 8.0, 7.0, 0.0, 0.0, 0.0, 1.0, 9.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 11.0, 0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 2.0, 15.0, 16.0, 15.0, 0.0, 0.0, 0.0, 0.0, 12.0, 9.0, 11.0, 12.0, 0.0, 0.0, 0.0, 5.0, 15.0, 0.0, 13.0, 7.0, 0.0, 0.0, 0.0, 5.0, 6.0, 3.0, 14.0, 5.0, 2.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 16.0, 9.0, 0.0, 0.0, 0.0, 7.0, 16.0, 9.0, 2.0, 0.0, 0.0, 0.0, 0.0, 1.0, 15.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 7.0, 14.0, 15.0, 7.0, 0.0, 0.0, 0.0, 6.0, 16.0, 8.0, 7.0, 16.0, 4.0, 0.0, 0.0, 11.0, 6.0, 1.0, 10.0, 14.0, 1.0, 0.0, 0.0, 1.0, 0.0, 4.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 11.0, 13.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 7.0, 0.0, 0.0, 0.0, 3.0, 4.0, 8.0, 14.0, 3.0, 0.0, 0.0, 0.0, 10.0, 13.0, 12.0, 4.0, 0.0, 0.0], [0.0, 1.0, 9.0, 16.0, 16.0, 15.0, 3.0, 0.0, 0.0, 8.0, 16.0, 12.0, 8.0, 8.0, 3.0, 0.0, 0.0, 6.0, 16.0, 9.0, 3.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 16.0, 16.0, 4.0, 0.0, 0.0, 0.0, 3.0, 6.0, 4.0, 13.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 13.0, 0.0, 0.0, 0.0, 0.0, 5.0, 8.0, 15.0, 10.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 11.0, 1.0, 0.0, 0.0], [0.0, 0.0, 2.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 12.0, 16.0, 3.0, 0.0, 0.0], [0.0, 0.0, 0.0, 10.0, 11.0, 1.0, 0.0, 0.0, 0.0, 0.0, 1.0, 15.0, 8.0, 8.0, 0.0, 0.0, 0.0, 5.0, 4.0, 10.0, 0.0, 12.0, 0.0, 0.0, 0.0, 7.0, 8.0, 10.0, 0.0, 7.0, 5.0, 0.0, 0.0, 6.0, 10.0, 0.0, 0.0, 2.0, 9.0, 0.0, 0.0, 1.0, 13.0, 0.0, 0.0, 2.0, 11.0, 0.0, 0.0, 0.0, 6.0, 11.0, 4.0, 10.0, 11.0, 0.0, 0.0, 0.0, 0.0, 9.0, 15.0, 14.0, 5.0, 0.0], [0.0, 2.0, 0.0, 8.0, 9.0, 0.0, 0.0, 0.0, 0.0, 13.0, 5.0, 14.0, 8.0, 7.0, 0.0, 0.0, 0.0, 12.0, 5.0, 2.0, 0.0, 9.0, 0.0, 0.0, 0.0, 7.0, 5.0, 0.0, 0.0, 3.0, 5.0, 0.0, 0.0, 3.0, 10.0, 0.0, 0.0, 2.0, 10.0, 0.0, 0.0, 1.0, 13.0, 0.0, 0.0, 1.0, 12.0, 0.0, 0.0, 0.0, 5.0, 13.0, 5.0, 9.0, 13.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 16.0, 7.0, 0.0], [0.0, 0.0, 6.0, 16.0, 13.0, 12.0, 14.0, 1.0, 0.0, 0.0, 14.0, 4.0, 4.0, 15.0, 4.0, 0.0, 0.0, 1.0, 7.0, 0.0, 10.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 13.0, 1.0, 0.0, 0.0, 0.0, 2.0, 9.0, 14.0, 16.0, 12.0, 0.0, 0.0, 0.0, 4.0, 6.0, 15.0, 2.0, 4.0, 1.0, 0.0, 0.0, 0.0, 6.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 4.0, 0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 9.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 1.0, 16.0, 10.0, 8.0, 0.0, 0.0, 0.0, 15.0, 6.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 14.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 9.0, 11.0, 2.0, 0.0, 0.0, 0.0, 0.0, 12.0, 1.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 14.0, 3.0, 0.0, 0.0, 0.0], [0.0, 0.0, 11.0, 16.0, 15.0, 3.0, 0.0, 0.0, 0.0, 5.0, 16.0, 12.0, 11.0, 13.0, 0.0, 0.0, 0.0, 3.0, 13.0, 1.0, 5.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 16.0, 16.0, 11.0, 1.0, 0.0, 0.0, 0.0, 13.0, 13.0, 8.0, 13.0, 16.0, 8.0], [0.0, 0.0, 6.0, 16.0, 15.0, 5.0, 0.0, 0.0, 0.0, 1.0, 16.0, 14.0, 8.0, 15.0, 1.0, 0.0, 0.0, 9.0, 13.0, 1.0, 0.0, 12.0, 6.0, 0.0, 0.0, 5.0, 9.0, 0.0, 0.0, 9.0, 10.0, 0.0, 0.0, 6.0, 9.0, 0.0, 0.0, 9.0, 11.0, 0.0, 0.0, 7.0, 16.0, 1.0, 0.0, 11.0, 11.0, 0.0, 0.0, 3.0, 16.0, 11.0, 13.0, 16.0, 8.0, 0.0, 0.0, 0.0, 8.0, 16.0, 16.0, 12.0, 1.0, 0.0], [0.0, 0.0, 0.0, 14.0, 14.0, 9.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 13.0, 16.0, 15.0, 2.0, 0.0, 0.0, 0.0, 1.0, 15.0, 16.0, 11.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 12.0, 12.0, 0.0, 0.0, 0.0], [0.0, 0.0, 9.0, 16.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 8.0, 13.0, 7.0, 0.0, 0.0, 0.0, 0.0, 12.0, 0.0, 8.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 15.0, 10.0, 9.0, 1.0, 0.0, 0.0, 12.0, 14.0, 13.0, 16.0, 16.0, 5.0], [0.0, 0.0, 1.0, 14.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 11.0, 4.0, 0.0, 0.0, 0.0, 0.0, 1.0, 11.0, 1.0, 0.0, 0.0, 0.0, 0.0, 1.0, 12.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 14.0, 13.0, 8.0, 1.0, 0.0, 0.0, 3.0, 16.0, 16.0, 13.0, 16.0, 8.0, 0.0, 0.0, 0.0, 12.0, 16.0, 7.0, 15.0, 12.0, 0.0, 0.0, 0.0, 1.0, 13.0, 16.0, 16.0, 8.0, 0.0], [0.0, 0.0, 11.0, 16.0, 16.0, 10.0, 0.0, 0.0, 1.0, 14.0, 16.0, 9.0, 11.0, 16.0, 1.0, 0.0, 1.0, 14.0, 3.0, 0.0, 12.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 10.0, 0.0, 0.0, 0.0, 2.0, 4.0, 5.0, 14.0, 13.0, 0.0, 0.0, 0.0, 11.0, 16.0, 16.0, 16.0, 4.0, 0.0], [0.0, 0.0, 9.0, 16.0, 16.0, 15.0, 4.0, 0.0, 0.0, 8.0, 16.0, 9.0, 7.0, 14.0, 11.0, 0.0, 0.0, 5.0, 5.0, 1.0, 13.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 11.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 8.0, 0.0, 0.0, 0.0, 3.0, 4.0, 6.0, 16.0, 4.0, 0.0, 0.0, 0.0, 14.0, 16.0, 16.0, 8.0, 0.0, 0.0], [0.0, 0.0, 10.0, 16.0, 13.0, 12.0, 15.0, 5.0, 0.0, 4.0, 16.0, 8.0, 12.0, 16.0, 6.0, 0.0, 0.0, 6.0, 12.0, 2.0, 16.0, 7.0, 0.0, 0.0, 0.0, 1.0, 5.0, 9.0, 14.0, 1.0, 0.0, 0.0, 0.0, 1.0, 7.0, 16.0, 12.0, 2.0, 0.0, 0.0, 0.0, 8.0, 16.0, 16.0, 12.0, 5.0, 0.0, 0.0, 0.0, 1.0, 11.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 6.0, 0.0, 0.0, 0.0, 0.0], [0.0, 1.0, 13.0, 16.0, 16.0, 10.0, 0.0, 0.0, 0.0, 8.0, 15.0, 8.0, 15.0, 15.0, 0.0, 0.0, 0.0, 3.0, 8.0, 5.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 0.0, 0.0, 0.0, 8.0, 6.0, 6.0, 13.0, 12.0, 0.0, 0.0, 1.0, 15.0, 16.0, 16.0, 14.0, 3.0, 0.0], [0.0, 1.0, 12.0, 16.0, 16.0, 9.0, 0.0, 0.0, 0.0, 11.0, 15.0, 9.0, 7.0, 16.0, 3.0, 0.0, 0.0, 13.0, 3.0, 1.0, 10.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 15.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 13.0, 0.0, 0.0, 0.0, 7.0, 4.0, 8.0, 15.0, 9.0, 0.0, 0.0, 0.0, 13.0, 16.0, 16.0, 12.0, 1.0, 0.0], [0.0, 0.0, 1.0, 14.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 15.0, 2.0, 0.0, 4.0, 0.0, 0.0, 2.0, 16.0, 6.0, 0.0, 7.0, 16.0, 2.0, 0.0, 8.0, 16.0, 6.0, 6.0, 16.0, 12.0, 0.0, 0.0, 5.0, 16.0, 16.0, 16.0, 15.0, 3.0, 0.0, 0.0, 0.0, 1.0, 4.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 16.0, 0.0, 0.0, 0.0], [0.0, 0.0, 1.0, 14.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 7.0, 5.0, 4.0, 1.0, 0.0, 0.0, 0.0, 10.0, 16.0, 13.0, 14.0, 14.0, 0.0, 0.0, 0.0, 9.0, 14.0, 1.0, 4.0, 16.0, 3.0, 0.0, 0.0, 1.0, 12.0, 13.0, 16.0, 9.0, 1.0], [0.0, 0.0, 0.0, 7.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 8.0, 1.0, 1.0, 0.0, 0.0, 0.0, 0.0, 12.0, 16.0, 16.0, 15.0, 5.0, 0.0, 0.0, 0.0, 14.0, 11.0, 0.0, 1.0, 15.0, 0.0, 0.0, 0.0, 6.0, 11.0, 1.0, 3.0, 14.0, 2.0, 0.0, 0.0, 0.0, 8.0, 16.0, 16.0, 7.0, 0.0], [0.0, 0.0, 0.0, 13.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 12.0, 16.0, 11.0, 3.0, 0.0, 0.0, 2.0, 16.0, 15.0, 9.0, 9.0, 15.0, 2.0, 0.0, 0.0, 11.0, 12.0, 1.0, 3.0, 16.0, 6.0, 0.0, 0.0, 1.0, 13.0, 16.0, 16.0, 15.0, 1.0], [0.0, 0.0, 3.0, 15.0, 7.0, 0.0, 0.0, 0.0, 0.0, 3.0, 15.0, 11.0, 1.0, 1.0, 7.0, 0.0, 0.0, 8.0, 16.0, 2.0, 0.0, 13.0, 15.0, 0.0, 0.0, 8.0, 16.0, 13.0, 14.0, 16.0, 5.0, 0.0, 0.0, 0.0, 8.0, 9.0, 15.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 4.0, 0.0, 0.0, 0.0], [0.0, 0.0, 7.0, 12.0, 11.0, 1.0, 0.0, 0.0, 0.0, 0.0, 12.0, 10.0, 5.0, 14.0, 0.0, 0.0, 0.0, 6.0, 13.0, 13.0, 3.0, 15.0, 0.0, 0.0, 0.0, 8.0, 9.0, 11.0, 16.0, 8.0, 0.0, 0.0, 0.0, 1.0, 11.0, 10.0, 9.0, 11.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 12.0, 0.0, 0.0, 0.0, 8.0, 12.0, 16.0, 13.0, 2.0, 0.0], [0.0, 0.0, 0.0, 15.0, 12.0, 1.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 15.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 16.0, 1.0, 0.0, 0.0], [0.0, 0.0, 0.0, 8.0, 16.0, 16.0, 7.0, 0.0, 0.0, 0.0, 15.0, 16.0, 10.0, 8.0, 1.0, 0.0, 0.0, 3.0, 16.0, 12.0, 5.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 16.0, 16.0, 3.0, 0.0, 0.0, 0.0, 8.0, 11.0, 2.0, 13.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 14.0, 2.0, 0.0, 0.0], [0.0, 0.0, 5.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 5.0, 12.0, 6.0, 0.0, 0.0, 0.0, 4.0, 14.0, 0.0, 2.0, 13.0, 0.0, 0.0, 0.0, 4.0, 10.0, 0.0, 0.0, 9.0, 8.0, 0.0, 0.0, 5.0, 8.0, 0.0, 0.0, 8.0, 8.0, 0.0, 0.0, 2.0, 11.0, 0.0, 0.0, 9.0, 6.0, 0.0, 0.0, 0.0, 15.0, 6.0, 8.0, 15.0, 1.0, 0.0, 0.0, 0.0, 4.0, 13.0, 12.0, 3.0, 0.0, 0.0], [0.0, 1.0, 12.0, 15.0, 10.0, 2.0, 0.0, 0.0, 0.0, 4.0, 14.0, 1.0, 6.0, 12.0, 2.0, 0.0, 0.0, 7.0, 15.0, 0.0, 1.0, 14.0, 4.0, 0.0, 0.0, 3.0, 15.0, 12.0, 15.0, 10.0, 0.0, 0.0, 0.0, 0.0, 3.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 13.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 6.0, 0.0, 0.0, 0.0, 0.0, 11.0, 12.0, 13.0, 4.0, 0.0, 0.0], [0.0, 1.0, 12.0, 16.0, 16.0, 16.0, 4.0, 0.0, 0.0, 4.0, 16.0, 10.0, 4.0, 1.0, 1.0, 0.0, 0.0, 6.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 12.0, 5.0, 0.0, 0.0, 0.0, 0.0, 7.0, 11.0, 11.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 2.0, 13.0, 10.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 11.0, 0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 10.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 13.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 12.0, 1.0, 11.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 6.0, 4.0, 0.0, 0.0, 0.0, 5.0, 16.0, 16.0, 16.0, 16.0, 4.0, 0.0, 0.0, 11.0, 15.0, 9.0, 8.0, 6.0, 0.0], [0.0, 1.0, 14.0, 14.0, 6.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 1.0, 14.0, 2.0, 0.0, 0.0, 0.0, 0.0, 10.0, 7.0, 10.0, 6.0, 4.0, 0.0, 0.0, 0.0, 1.0, 12.0, 16.0, 14.0, 5.0, 0.0, 0.0, 0.0, 3.0, 14.0, 16.0, 4.0, 0.0, 0.0, 0.0, 1.0, 15.0, 5.0, 6.0, 12.0, 0.0, 0.0, 0.0, 4.0, 10.0, 0.0, 1.0, 15.0, 0.0, 0.0, 0.0, 1.0, 12.0, 12.0, 12.0, 5.0, 0.0, 0.0], [0.0, 1.0, 11.0, 16.0, 16.0, 10.0, 0.0, 0.0, 0.0, 8.0, 16.0, 11.0, 7.0, 16.0, 1.0, 0.0, 0.0, 7.0, 11.0, 0.0, 5.0, 16.0, 2.0, 0.0, 0.0, 0.0, 2.0, 0.0, 7.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 5.0, 15.0, 16.0, 11.0, 6.0, 0.0, 0.0, 0.0, 14.0, 16.0, 13.0, 13.0, 16.0, 5.0], [0.0, 0.0, 2.0, 14.0, 14.0, 6.0, 0.0, 0.0, 0.0, 0.0, 10.0, 15.0, 11.0, 15.0, 2.0, 0.0, 0.0, 3.0, 16.0, 3.0, 0.0, 12.0, 6.0, 0.0, 0.0, 3.0, 9.0, 0.0, 0.0, 9.0, 10.0, 0.0, 0.0, 10.0, 11.0, 0.0, 0.0, 8.0, 12.0, 0.0, 0.0, 7.0, 16.0, 1.0, 0.0, 11.0, 13.0, 0.0, 0.0, 0.0, 15.0, 14.0, 12.0, 15.0, 10.0, 0.0, 0.0, 0.0, 3.0, 14.0, 16.0, 13.0, 5.0, 0.0], [0.0, 0.0, 5.0, 15.0, 13.0, 2.0, 0.0, 0.0, 0.0, 1.0, 15.0, 11.0, 8.0, 13.0, 0.0, 0.0, 0.0, 5.0, 14.0, 0.0, 0.0, 14.0, 5.0, 0.0, 0.0, 9.0, 16.0, 1.0, 0.0, 7.0, 9.0, 0.0, 0.0, 9.0, 13.0, 0.0, 0.0, 5.0, 14.0, 0.0, 0.0, 6.0, 16.0, 2.0, 0.0, 5.0, 15.0, 0.0, 0.0, 2.0, 14.0, 11.0, 5.0, 14.0, 12.0, 0.0, 0.0, 0.0, 5.0, 15.0, 16.0, 15.0, 3.0, 0.0], [0.0, 0.0, 4.0, 15.0, 12.0, 2.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 14.0, 2.0, 0.0, 0.0, 0.0, 0.0, 12.0, 16.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 12.0, 1.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 12.0, 12.0, 0.0, 0.0, 0.0], [0.0, 0.0, 10.0, 15.0, 8.0, 13.0, 6.0, 0.0, 0.0, 0.0, 13.0, 14.0, 14.0, 15.0, 2.0, 0.0, 0.0, 1.0, 15.0, 0.0, 13.0, 7.0, 0.0, 0.0, 0.0, 2.0, 7.0, 9.0, 16.0, 13.0, 13.0, 0.0, 0.0, 0.0, 10.0, 16.0, 11.0, 7.0, 2.0, 0.0, 0.0, 0.0, 4.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 4.0, 0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 9.0, 15.0, 2.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 11.0, 1.0, 0.0, 0.0, 0.0, 0.0, 13.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 11.0, 4.0, 4.0, 0.0, 0.0, 0.0, 2.0, 15.0, 16.0, 16.0, 14.0, 10.0, 1.0, 0.0, 0.0, 9.0, 16.0, 7.0, 3.0, 15.0, 6.0, 0.0, 0.0, 0.0, 7.0, 15.0, 16.0, 16.0, 6.0], [0.0, 1.0, 10.0, 14.0, 13.0, 4.0, 0.0, 0.0, 0.0, 12.0, 11.0, 5.0, 8.0, 14.0, 0.0, 0.0, 0.0, 8.0, 3.0, 2.0, 12.0, 8.0, 0.0, 0.0, 0.0, 0.0, 3.0, 15.0, 15.0, 4.0, 0.0, 0.0, 0.0, 0.0, 1.0, 4.0, 7.0, 14.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 11.0, 11.0, 0.0, 0.0, 0.0, 12.0, 16.0, 16.0, 9.0, 1.0, 0.0], [0.0, 1.0, 15.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 7.0, 15.0, 10.0, 16.0, 0.0, 0.0, 0.0, 0.0, 4.0, 12.0, 1.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 2.0, 3.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 14.0, 14.0, 15.0, 3.0, 0.0, 1.0, 15.0, 16.0, 16.0, 16.0, 16.0, 5.0], [0.0, 0.0, 3.0, 15.0, 12.0, 2.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 15.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 16.0, 6.0, 0.0, 0.0], [0.0, 0.0, 11.0, 8.0, 4.0, 13.0, 16.0, 3.0, 0.0, 2.0, 16.0, 16.0, 16.0, 14.0, 9.0, 1.0, 0.0, 4.0, 13.0, 6.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 2.0, 15.0, 10.0, 0.0, 0.0, 0.0, 0.0, 5.0, 13.0, 16.0, 14.0, 12.0, 2.0, 0.0, 0.0, 8.0, 15.0, 15.0, 12.0, 12.0, 2.0, 0.0, 0.0, 0.0, 15.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 9.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 5.0, 0.0, 1.0, 0.0, 0.0, 2.0, 14.0, 9.0, 0.0, 5.0, 15.0, 1.0, 0.0, 8.0, 16.0, 9.0, 12.0, 16.0, 9.0, 0.0, 0.0, 5.0, 16.0, 13.0, 13.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 15.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 12.0, 0.0, 0.0, 0.0], [0.0, 0.0, 1.0, 13.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 5.0, 9.0, 9.0, 3.0, 0.0, 0.0, 0.0, 12.0, 16.0, 13.0, 9.0, 14.0, 1.0, 0.0, 0.0, 8.0, 15.0, 0.0, 1.0, 14.0, 5.0, 0.0, 0.0, 1.0, 11.0, 16.0, 16.0, 13.0, 1.0], [0.0, 1.0, 10.0, 15.0, 16.0, 11.0, 0.0, 0.0, 0.0, 8.0, 11.0, 4.0, 7.0, 14.0, 0.0, 0.0, 0.0, 7.0, 1.0, 2.0, 13.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 14.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 9.0, 0.0, 0.0, 0.0, 2.0, 0.0, 3.0, 11.0, 7.0, 0.0, 0.0, 0.0, 15.0, 16.0, 16.0, 7.0, 0.0, 0.0], [0.0, 0.0, 13.0, 14.0, 10.0, 2.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 16.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 16.0, 16.0, 4.0, 0.0, 0.0, 0.0, 4.0, 16.0, 16.0, 14.0, 2.0, 0.0, 0.0, 0.0, 8.0, 16.0, 16.0, 7.0, 0.0, 0.0, 0.0, 3.0, 15.0, 16.0, 16.0, 4.0, 0.0, 0.0, 0.0, 1.0, 16.0, 16.0, 14.0, 1.0, 0.0, 0.0, 0.0, 0.0, 14.0, 16.0, 13.0, 3.0, 0.0, 0.0], [0.0, 0.0, 3.0, 11.0, 14.0, 12.0, 3.0, 0.0, 0.0, 2.0, 13.0, 10.0, 4.0, 10.0, 12.0, 0.0, 0.0, 2.0, 11.0, 2.0, 0.0, 9.0, 9.0, 0.0, 0.0, 0.0, 0.0, 3.0, 10.0, 10.0, 1.0, 0.0, 0.0, 0.0, 7.0, 16.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 3.0, 0.0, 14.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 13.0, 2.0, 0.0, 0.0, 0.0, 3.0, 7.0, 14.0, 5.0, 0.0, 0.0, 0.0], [0.0, 0.0, 11.0, 12.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 8.0, 13.0, 2.0, 0.0, 0.0, 0.0, 0.0, 7.0, 11.0, 9.0, 9.0, 0.0, 0.0, 0.0, 4.0, 12.0, 12.0, 16.0, 7.0, 0.0, 0.0, 0.0, 2.0, 10.0, 12.0, 9.0, 12.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 2.0, 0.0, 0.0, 6.0, 12.0, 12.0, 13.0, 11.0, 0.0], [0.0, 0.0, 1.0, 11.0, 14.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 16.0, 11.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 13.0, 16.0, 9.0, 0.0, 0.0], [0.0, 0.0, 4.0, 13.0, 16.0, 16.0, 7.0, 0.0, 0.0, 0.0, 15.0, 10.0, 7.0, 16.0, 1.0, 0.0, 0.0, 7.0, 12.0, 0.0, 12.0, 7.0, 0.0, 0.0, 0.0, 9.0, 5.0, 3.0, 16.0, 2.0, 0.0, 0.0, 0.0, 2.0, 11.0, 16.0, 16.0, 12.0, 7.0, 0.0, 0.0, 5.0, 10.0, 16.0, 12.0, 8.0, 3.0, 0.0, 0.0, 0.0, 3.0, 15.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 14.0, 0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 13.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 15.0, 16.0, 14.0, 5.0, 0.0, 0.0, 0.0, 13.0, 7.0, 0.0, 0.0, 13.0, 1.0, 0.0, 0.0, 10.0, 6.0, 0.0, 5.0, 14.0, 0.0, 0.0, 0.0, 2.0, 13.0, 12.0, 15.0, 4.0, 0.0], [0.0, 0.0, 10.0, 15.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 4.0, 11.0, 3.0, 5.0, 0.0, 0.0, 0.0, 14.0, 5.0, 7.0, 10.0, 7.0, 0.0, 0.0, 0.0, 4.0, 13.0, 12.0, 11.0, 0.0, 0.0, 0.0, 0.0, 2.0, 14.0, 12.0, 0.0, 0.0, 0.0, 0.0, 1.0, 14.0, 7.0, 12.0, 4.0, 0.0, 0.0, 0.0, 7.0, 10.0, 0.0, 3.0, 12.0, 0.0, 0.0, 0.0, 1.0, 10.0, 11.0, 12.0, 10.0, 0.0, 0.0], [0.0, 0.0, 0.0, 8.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 3.0, 0.0, 2.0, 0.0, 0.0, 1.0, 16.0, 5.0, 1.0, 10.0, 15.0, 1.0, 0.0, 9.0, 16.0, 4.0, 9.0, 16.0, 7.0, 0.0, 0.0, 7.0, 16.0, 16.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 2.0, 8.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 10.0, 0.0, 0.0, 0.0], [0.0, 1.0, 12.0, 16.0, 13.0, 7.0, 0.0, 0.0, 0.0, 12.0, 11.0, 4.0, 4.0, 15.0, 0.0, 0.0, 0.0, 8.0, 3.0, 0.0, 6.0, 14.0, 2.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 5.0, 13.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 10.0, 0.0, 0.0, 0.0, 10.0, 10.0, 13.0, 14.0, 1.0, 0.0], [0.0, 0.0, 1.0, 12.0, 11.0, 1.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 15.0, 2.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 11.0, 13.0, 1.0, 0.0, 0.0], [0.0, 0.0, 0.0, 9.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 4.0, 0.0, 3.0, 9.0, 0.0, 0.0, 7.0, 14.0, 0.0, 1.0, 14.0, 12.0, 0.0, 0.0, 9.0, 16.0, 12.0, 14.0, 15.0, 1.0, 0.0, 0.0, 0.0, 6.0, 8.0, 15.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 13.0, 0.0, 0.0, 0.0], [0.0, 0.0, 5.0, 15.0, 12.0, 1.0, 0.0, 0.0, 0.0, 0.0, 8.0, 8.0, 6.0, 12.0, 0.0, 0.0, 0.0, 2.0, 5.0, 0.0, 0.0, 12.0, 2.0, 0.0, 0.0, 4.0, 14.0, 0.0, 0.0, 8.0, 6.0, 0.0, 0.0, 7.0, 11.0, 0.0, 0.0, 9.0, 7.0, 0.0, 0.0, 3.0, 13.0, 0.0, 0.0, 12.0, 3.0, 0.0, 0.0, 0.0, 16.0, 5.0, 9.0, 14.0, 1.0, 0.0, 0.0, 0.0, 5.0, 15.0, 11.0, 4.0, 0.0, 0.0], [0.0, 1.0, 13.0, 16.0, 16.0, 11.0, 0.0, 0.0, 0.0, 10.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 15.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 14.0, 5.0, 0.0, 0.0, 0.0, 0.0, 3.0, 15.0, 16.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 11.0, 11.0, 0.0, 0.0, 0.0, 0.0, 1.0, 5.0, 15.0, 9.0, 0.0, 0.0, 0.0, 0.0, 13.0, 16.0, 13.0, 1.0, 0.0, 0.0], [0.0, 1.0, 13.0, 16.0, 16.0, 12.0, 1.0, 0.0, 0.0, 12.0, 15.0, 6.0, 12.0, 16.0, 3.0, 0.0, 0.0, 13.0, 10.0, 10.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 15.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 10.0, 14.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 7.0, 0.0, 0.0, 0.0, 3.0, 1.0, 5.0, 16.0, 9.0, 0.0, 0.0, 1.0, 14.0, 16.0, 16.0, 11.0, 1.0, 0.0], [0.0, 0.0, 2.0, 14.0, 15.0, 3.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 16.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 13.0, 16.0, 10.0, 16.0, 7.0, 0.0, 0.0, 0.0, 3.0, 15.0, 16.0, 16.0, 4.0, 0.0], [0.0, 0.0, 12.0, 16.0, 15.0, 6.0, 0.0, 0.0, 0.0, 0.0, 15.0, 12.0, 7.0, 15.0, 1.0, 0.0, 0.0, 1.0, 15.0, 15.0, 7.0, 16.0, 4.0, 0.0, 0.0, 1.0, 12.0, 16.0, 16.0, 14.0, 1.0, 0.0, 0.0, 0.0, 0.0, 4.0, 10.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 15.0, 3.0, 0.0, 0.0, 0.0, 3.0, 0.0, 2.0, 16.0, 6.0, 0.0, 0.0, 0.0, 13.0, 16.0, 16.0, 15.0, 1.0, 0.0], [0.0, 0.0, 1.0, 10.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 1.0, 5.0, 2.0, 0.0, 0.0, 0.0, 3.0, 16.0, 15.0, 11.0, 9.0, 5.0, 0.0, 0.0, 2.0, 16.0, 6.0, 0.0, 2.0, 14.0, 0.0, 0.0, 0.0, 10.0, 10.0, 1.0, 5.0, 15.0, 0.0, 0.0, 0.0, 1.0, 12.0, 15.0, 14.0, 6.0, 0.0], [0.0, 0.0, 3.0, 16.0, 12.0, 2.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 14.0, 16.0, 3.0, 0.0, 0.0], [0.0, 0.0, 11.0, 16.0, 12.0, 12.0, 16.0, 7.0, 0.0, 3.0, 16.0, 9.0, 8.0, 16.0, 10.0, 0.0, 0.0, 1.0, 10.0, 0.0, 6.0, 14.0, 2.0, 0.0, 0.0, 0.0, 1.0, 8.0, 15.0, 15.0, 11.0, 0.0, 0.0, 0.0, 12.0, 16.0, 15.0, 7.0, 2.0, 0.0, 0.0, 0.0, 4.0, 13.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 12.0, 0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 2.0, 10.0, 16.0, 12.0, 0.0, 0.0, 0.0, 2.0, 15.0, 14.0, 8.0, 1.0, 0.0, 0.0, 0.0, 2.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 14.0, 13.0, 3.0, 0.0, 0.0, 0.0, 10.0, 16.0, 7.0, 11.0, 12.0, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 4.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 2.0, 0.0, 0.0, 0.0, 2.0, 14.0, 16.0, 8.0, 0.0, 0.0], [0.0, 0.0, 0.0, 5.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 15.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 9.0, 0.0, 0.0, 3.0, 0.0, 0.0, 4.0, 14.0, 1.0, 0.0, 8.0, 15.0, 0.0, 0.0, 10.0, 14.0, 12.0, 13.0, 16.0, 6.0, 0.0, 0.0, 5.0, 12.0, 9.0, 11.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 14.0, 1.0, 0.0, 0.0], [0.0, 0.0, 0.0, 11.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 15.0, 2.0, 0.0, 2.0, 1.0, 0.0, 2.0, 16.0, 5.0, 0.0, 4.0, 16.0, 3.0, 0.0, 5.0, 16.0, 8.0, 11.0, 16.0, 9.0, 0.0, 0.0, 4.0, 15.0, 14.0, 13.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 11.0, 0.0, 0.0, 0.0], [0.0, 0.0, 8.0, 16.0, 14.0, 15.0, 0.0, 0.0, 0.0, 0.0, 13.0, 11.0, 15.0, 11.0, 0.0, 0.0, 0.0, 4.0, 14.0, 1.0, 13.0, 5.0, 0.0, 0.0, 0.0, 3.0, 7.0, 8.0, 16.0, 4.0, 3.0, 0.0, 0.0, 0.0, 14.0, 16.0, 16.0, 13.0, 7.0, 0.0, 0.0, 0.0, 5.0, 13.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 6.0, 0.0, 0.0, 0.0, 0.0], [0.0, 2.0, 15.0, 15.0, 3.0, 0.0, 0.0, 0.0, 0.0, 11.0, 15.0, 11.0, 12.0, 0.0, 0.0, 0.0, 0.0, 8.0, 10.0, 0.0, 16.0, 0.0, 0.0, 0.0, 0.0, 1.0, 3.0, 2.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 12.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 16.0, 13.0, 13.0, 15.0, 3.0, 0.0, 2.0, 13.0, 14.0, 12.0, 12.0, 8.0, 1.0], [0.0, 0.0, 9.0, 14.0, 14.0, 3.0, 0.0, 0.0, 0.0, 4.0, 13.0, 1.0, 4.0, 11.0, 0.0, 0.0, 0.0, 1.0, 14.0, 1.0, 11.0, 7.0, 6.0, 0.0, 0.0, 0.0, 15.0, 13.0, 9.0, 12.0, 3.0, 0.0, 0.0, 0.0, 1.0, 14.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 14.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 1.0, 9.0, 5.0, 0.0, 0.0, 0.0, 0.0, 11.0, 12.0, 13.0, 3.0, 0.0, 0.0], [0.0, 0.0, 5.0, 16.0, 15.0, 3.0, 0.0, 0.0, 0.0, 0.0, 13.0, 15.0, 14.0, 7.0, 0.0, 0.0, 0.0, 0.0, 13.0, 4.0, 13.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 15.0, 9.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 16.0, 16.0, 9.0, 13.0, 3.0, 0.0, 0.0, 5.0, 2.0, 9.0, 16.0, 14.0, 3.0], [0.0, 0.0, 7.0, 16.0, 13.0, 2.0, 0.0, 0.0, 0.0, 0.0, 14.0, 15.0, 13.0, 9.0, 0.0, 0.0, 0.0, 0.0, 14.0, 8.0, 9.0, 10.0, 0.0, 0.0, 0.0, 0.0, 1.0, 2.0, 9.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 6.0, 15.0, 16.0, 5.0, 5.0, 5.0, 0.0, 0.0, 6.0, 16.0, 16.0, 16.0, 16.0, 13.0], [0.0, 0.0, 10.0, 16.0, 15.0, 8.0, 2.0, 0.0, 0.0, 9.0, 16.0, 12.0, 8.0, 9.0, 3.0, 0.0, 0.0, 13.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 7.0, 13.0, 8.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 2.0, 12.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0, 13.0, 16.0, 6.0, 0.0, 0.0, 0.0], [0.0, 0.0, 8.0, 11.0, 8.0, 10.0, 14.0, 8.0, 0.0, 3.0, 15.0, 11.0, 12.0, 16.0, 5.0, 1.0, 0.0, 1.0, 16.0, 0.0, 11.0, 8.0, 0.0, 0.0, 0.0, 0.0, 1.0, 5.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 3.0, 15.0, 16.0, 14.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 7.0, 0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 8.0, 15.0, 9.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 10.0, 16.0, 9.0, 0.0, 0.0, 0.0, 2.0, 6.0, 2.0, 16.0, 16.0, 1.0, 0.0, 0.0, 3.0, 9.0, 9.0, 16.0, 14.0, 0.0, 0.0, 0.0, 0.0, 7.0, 5.0, 12.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 12.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 4.0, 0.0, 0.0, 0.0, 9.0, 13.0, 12.0, 10.0, 1.0, 0.0], [0.0, 0.0, 1.0, 10.0, 16.0, 13.0, 0.0, 0.0, 0.0, 2.0, 15.0, 15.0, 9.0, 6.0, 0.0, 0.0, 0.0, 5.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 14.0, 5.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 13.0, 15.0, 3.0, 0.0, 0.0, 0.0, 1.0, 3.0, 0.0, 11.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 13.0, 10.0, 0.0, 0.0, 0.0, 0.0, 1.0, 14.0, 15.0, 3.0, 0.0, 0.0], [0.0, 0.0, 0.0, 9.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 2.0, 15.0, 8.0, 0.0, 1.0, 7.0, 0.0, 0.0, 9.0, 14.0, 0.0, 2.0, 13.0, 14.0, 0.0, 0.0, 8.0, 16.0, 14.0, 15.0, 16.0, 6.0, 0.0, 0.0, 1.0, 7.0, 8.0, 16.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 12.0, 0.0, 0.0, 0.0], [0.0, 0.0, 15.0, 12.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 9.0, 14.0, 1.0, 0.0, 0.0, 0.0, 0.0, 12.0, 10.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 4.0, 10.0, 7.0, 0.0, 0.0, 0.0, 0.0, 11.0, 14.0, 11.0, 0.0, 0.0, 0.0, 0.0, 1.0, 12.0, 13.0, 11.0, 0.0, 0.0, 0.0, 0.0, 12.0, 6.0, 0.0, 9.0, 4.0, 0.0, 0.0, 0.0, 15.0, 4.0, 5.0, 13.0, 6.0, 0.0], [0.0, 1.0, 14.0, 16.0, 16.0, 11.0, 2.0, 0.0, 0.0, 0.0, 14.0, 9.0, 2.0, 10.0, 11.0, 0.0, 0.0, 0.0, 5.0, 16.0, 5.0, 14.0, 5.0, 0.0, 0.0, 0.0, 0.0, 12.0, 16.0, 16.0, 5.0, 0.0, 0.0, 0.0, 7.0, 14.0, 14.0, 8.0, 0.0, 0.0, 0.0, 1.0, 14.0, 3.0, 6.0, 11.0, 0.0, 0.0, 0.0, 4.0, 8.0, 0.0, 8.0, 11.0, 0.0, 0.0, 0.0, 2.0, 13.0, 12.0, 15.0, 2.0, 0.0, 0.0], [0.0, 0.0, 1.0, 10.0, 15.0, 2.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 7.0, 3.0, 5.0, 0.0, 0.0, 3.0, 16.0, 7.0, 3.0, 16.0, 11.0, 0.0, 0.0, 9.0, 14.0, 1.0, 10.0, 14.0, 2.0, 0.0, 0.0, 11.0, 16.0, 16.0, 16.0, 10.0, 0.0, 0.0, 0.0, 2.0, 4.0, 8.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 9.0, 0.0, 0.0, 0.0], [0.0, 0.0, 2.0, 12.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 15.0, 7.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 1.0, 14.0, 1.0, 0.0, 0.0, 0.0, 10.0, 8.0, 11.0, 13.0, 1.0, 0.0, 0.0, 0.0, 9.0, 14.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 10.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 14.0, 2.0, 0.0, 0.0, 5.0, 14.0, 13.0, 14.0, 10.0, 1.0], [0.0, 0.0, 2.0, 12.0, 12.0, 1.0, 0.0, 0.0, 0.0, 2.0, 12.0, 12.0, 6.0, 11.0, 0.0, 0.0, 0.0, 10.0, 13.0, 0.0, 0.0, 10.0, 2.0, 0.0, 0.0, 8.0, 11.0, 0.0, 0.0, 6.0, 6.0, 0.0, 0.0, 7.0, 9.0, 0.0, 0.0, 4.0, 9.0, 0.0, 0.0, 3.0, 13.0, 0.0, 0.0, 8.0, 12.0, 0.0, 0.0, 0.0, 12.0, 12.0, 9.0, 16.0, 7.0, 0.0, 0.0, 0.0, 1.0, 12.0, 16.0, 9.0, 1.0, 0.0], [0.0, 3.0, 14.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 15.0, 15.0, 3.0, 1.0, 1.0, 0.0, 0.0, 0.0, 6.0, 16.0, 4.0, 13.0, 8.0, 0.0, 0.0, 0.0, 0.0, 14.0, 14.0, 13.0, 1.0, 0.0, 0.0, 0.0, 2.0, 15.0, 13.0, 1.0, 0.0, 0.0, 0.0, 1.0, 14.0, 8.0, 15.0, 0.0, 0.0, 0.0, 0.0, 5.0, 12.0, 0.0, 12.0, 3.0, 0.0, 0.0, 0.0, 2.0, 14.0, 13.0, 15.0, 3.0, 0.0, 0.0], [0.0, 0.0, 15.0, 15.0, 10.0, 2.0, 0.0, 0.0, 0.0, 0.0, 16.0, 5.0, 8.0, 11.0, 0.0, 0.0, 0.0, 0.0, 9.0, 12.0, 1.0, 14.0, 4.0, 0.0, 0.0, 0.0, 6.0, 16.0, 16.0, 15.0, 2.0, 0.0, 0.0, 0.0, 0.0, 4.0, 11.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 11.0, 0.0, 0.0, 0.0, 0.0, 10.0, 12.0, 13.0, 11.0, 0.0, 0.0], [0.0, 3.0, 16.0, 9.0, 2.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 13.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 11.0, 14.0, 10.0, 6.0, 0.0, 0.0, 0.0, 2.0, 15.0, 16.0, 10.0, 2.0, 0.0, 0.0, 0.0, 6.0, 14.0, 15.0, 1.0, 0.0, 0.0, 0.0, 3.0, 15.0, 4.0, 9.0, 7.0, 0.0, 0.0, 0.0, 6.0, 13.0, 1.0, 10.0, 9.0, 0.0, 0.0, 0.0, 2.0, 11.0, 12.0, 14.0, 4.0, 0.0, 0.0], [0.0, 0.0, 4.0, 14.0, 14.0, 2.0, 0.0, 0.0, 0.0, 5.0, 16.0, 11.0, 7.0, 10.0, 0.0, 0.0, 0.0, 4.0, 16.0, 4.0, 0.0, 11.0, 1.0, 0.0, 0.0, 7.0, 14.0, 1.0, 0.0, 7.0, 5.0, 0.0, 0.0, 4.0, 10.0, 0.0, 0.0, 7.0, 7.0, 0.0, 0.0, 1.0, 12.0, 0.0, 0.0, 12.0, 3.0, 0.0, 0.0, 0.0, 9.0, 6.0, 6.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 14.0, 4.0, 0.0, 0.0], [0.0, 0.0, 0.0, 5.0, 15.0, 13.0, 1.0, 0.0, 0.0, 0.0, 2.0, 14.0, 16.0, 14.0, 0.0, 0.0, 0.0, 1.0, 13.0, 16.0, 16.0, 12.0, 0.0, 0.0, 0.0, 9.0, 16.0, 14.0, 16.0, 6.0, 0.0, 0.0, 0.0, 3.0, 5.0, 6.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 15.0, 13.0, 1.0, 0.0], [0.0, 2.0, 14.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 12.0, 14.0, 12.0, 15.0, 0.0, 0.0, 0.0, 0.0, 11.0, 2.0, 8.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 14.0, 13.0, 8.0, 8.0, 7.0, 0.0, 0.0, 2.0, 15.0, 16.0, 16.0, 15.0, 8.0, 0.0], [0.0, 1.0, 9.0, 15.0, 16.0, 6.0, 0.0, 0.0, 0.0, 13.0, 15.0, 10.0, 16.0, 11.0, 0.0, 0.0, 0.0, 5.0, 3.0, 4.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 13.0, 15.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 13.0, 11.0, 0.0, 0.0, 0.0, 12.0, 5.0, 3.0, 13.0, 14.0, 0.0, 0.0, 0.0, 10.0, 16.0, 16.0, 14.0, 5.0, 0.0], [0.0, 0.0, 0.0, 8.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 1.0, 14.0, 10.0, 0.0, 7.0, 7.0, 0.0, 0.0, 5.0, 16.0, 3.0, 1.0, 16.0, 7.0, 0.0, 0.0, 8.0, 16.0, 11.0, 13.0, 16.0, 3.0, 0.0, 0.0, 1.0, 11.0, 15.0, 16.0, 13.0, 3.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 10.0, 0.0, 0.0, 0.0], [0.0, 0.0, 5.0, 12.0, 16.0, 9.0, 0.0, 0.0, 0.0, 7.0, 16.0, 10.0, 3.0, 0.0, 0.0, 0.0, 0.0, 8.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 14.0, 4.0, 6.0, 0.0, 0.0, 0.0, 0.0, 4.0, 14.0, 12.0, 13.0, 13.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 15.0, 7.0, 0.0, 0.0, 0.0, 4.0, 12.0, 13.0, 8.0, 0.0, 0.0], [0.0, 0.0, 6.0, 15.0, 4.0, 0.0, 0.0, 0.0, 0.0, 1.0, 14.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 11.0, 0.0, 2.0, 1.0, 0.0, 0.0, 0.0, 4.0, 13.0, 12.0, 16.0, 13.0, 3.0, 0.0, 0.0, 1.0, 16.0, 2.0, 1.0, 8.0, 10.0, 0.0, 0.0, 0.0, 12.0, 4.0, 0.0, 11.0, 12.0, 0.0, 0.0, 0.0, 4.0, 13.0, 12.0, 14.0, 2.0, 0.0], [0.0, 0.0, 8.0, 14.0, 16.0, 16.0, 2.0, 0.0, 0.0, 0.0, 11.0, 6.0, 7.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 12.0, 0.0, 0.0, 0.0, 1.0, 11.0, 16.0, 16.0, 16.0, 12.0, 0.0, 0.0, 2.0, 12.0, 13.0, 13.0, 2.0, 0.0, 0.0, 0.0, 0.0, 1.0, 14.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 7.0, 0.0, 0.0, 0.0, 0.0], [0.0, 1.0, 10.0, 9.0, 11.0, 5.0, 0.0, 0.0, 1.0, 14.0, 8.0, 1.0, 2.0, 11.0, 0.0, 0.0, 0.0, 14.0, 3.0, 0.0, 11.0, 5.0, 0.0, 0.0, 0.0, 2.0, 12.0, 12.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 15.0, 14.0, 4.0, 0.0, 0.0, 0.0, 0.0, 11.0, 5.0, 1.0, 12.0, 2.0, 0.0, 0.0, 0.0, 13.0, 0.0, 0.0, 14.0, 2.0, 0.0, 0.0, 0.0, 9.0, 13.0, 16.0, 9.0, 0.0, 0.0], [0.0, 0.0, 9.0, 16.0, 15.0, 3.0, 0.0, 0.0, 0.0, 6.0, 16.0, 11.0, 10.0, 12.0, 0.0, 0.0, 0.0, 7.0, 15.0, 1.0, 1.0, 15.0, 5.0, 0.0, 0.0, 3.0, 16.0, 6.0, 9.0, 16.0, 9.0, 0.0, 0.0, 0.0, 5.0, 11.0, 13.0, 14.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 11.0, 0.0, 0.0, 0.0, 10.0, 16.0, 16.0, 15.0, 6.0, 0.0], [0.0, 0.0, 3.0, 14.0, 9.0, 3.0, 0.0, 0.0, 0.0, 0.0, 11.0, 13.0, 8.0, 14.0, 2.0, 0.0, 0.0, 2.0, 16.0, 3.0, 0.0, 9.0, 4.0, 0.0, 0.0, 5.0, 12.0, 0.0, 0.0, 4.0, 8.0, 0.0, 0.0, 8.0, 8.0, 0.0, 0.0, 7.0, 8.0, 0.0, 0.0, 5.0, 11.0, 0.0, 2.0, 15.0, 3.0, 0.0, 0.0, 0.0, 14.0, 5.0, 13.0, 7.0, 0.0, 0.0, 0.0, 0.0, 5.0, 14.0, 5.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 0.0, 13.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 14.0, 0.0, 0.0, 0.0, 1.0, 12.0, 16.0, 16.0, 11.0, 0.0, 0.0, 0.0, 11.0, 16.0, 12.0, 16.0, 8.0, 0.0, 0.0, 0.0, 6.0, 4.0, 7.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 11.0, 0.0, 0.0], [0.0, 0.0, 11.0, 16.0, 12.0, 1.0, 0.0, 0.0, 0.0, 3.0, 16.0, 9.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 6.0, 1.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 15.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 4.0, 5.0, 8.0, 1.0, 0.0, 0.0, 13.0, 16.0, 16.0, 16.0, 16.0, 6.0], [0.0, 0.0, 7.0, 14.0, 16.0, 13.0, 1.0, 0.0, 0.0, 9.0, 15.0, 8.0, 10.0, 16.0, 7.0, 0.0, 0.0, 5.0, 1.0, 0.0, 14.0, 14.0, 1.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 7.0, 0.0, 0.0, 0.0, 9.0, 7.0, 6.0, 16.0, 9.0, 0.0, 0.0, 0.0, 5.0, 15.0, 16.0, 11.0, 3.0, 0.0], [0.0, 0.0, 0.0, 1.0, 15.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 15.0, 3.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 5.0, 3.0, 6.0, 0.0, 0.0, 5.0, 16.0, 8.0, 0.0, 12.0, 13.0, 0.0, 0.0, 12.0, 14.0, 4.0, 8.0, 16.0, 9.0, 0.0, 0.0, 12.0, 16.0, 16.0, 16.0, 16.0, 0.0, 0.0, 0.0, 0.0, 4.0, 2.0, 14.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 9.0, 0.0, 0.0], [0.0, 1.0, 12.0, 16.0, 16.0, 15.0, 0.0, 0.0, 0.0, 7.0, 16.0, 9.0, 4.0, 3.0, 0.0, 0.0, 0.0, 10.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 15.0, 8.0, 7.0, 1.0, 0.0, 0.0, 0.0, 2.0, 13.0, 16.0, 16.0, 15.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 14.0, 0.0, 0.0, 0.0, 2.0, 7.0, 13.0, 16.0, 9.0, 0.0, 0.0, 0.0, 14.0, 16.0, 12.0, 5.0, 0.0, 0.0], [0.0, 0.0, 3.0, 13.0, 16.0, 7.0, 0.0, 0.0, 0.0, 1.0, 12.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 10.0, 11.0, 4.0, 0.0, 0.0, 0.0, 6.0, 16.0, 14.0, 13.0, 16.0, 3.0, 0.0, 0.0, 1.0, 11.0, 11.0, 2.0, 14.0, 10.0, 0.0, 0.0, 0.0, 2.0, 15.0, 16.0, 15.0, 6.0, 0.0], [0.0, 0.0, 5.0, 13.0, 16.0, 16.0, 6.0, 0.0, 0.0, 0.0, 12.0, 6.0, 4.0, 13.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 15.0, 3.0, 0.0, 0.0, 0.0, 0.0, 2.0, 10.0, 13.0, 2.0, 0.0, 0.0, 2.0, 12.0, 16.0, 16.0, 12.0, 5.0, 0.0, 0.0, 1.0, 6.0, 9.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 11.0, 0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 10.0, 16.0, 16.0, 8.0, 0.0, 0.0, 0.0, 5.0, 16.0, 6.0, 7.0, 14.0, 0.0, 0.0, 0.0, 3.0, 16.0, 3.0, 13.0, 9.0, 0.0, 0.0, 0.0, 0.0, 13.0, 15.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 15.0, 6.0, 0.0, 0.0, 0.0, 0.0, 1.0, 15.0, 12.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 10.0, 0.0, 0.0, 0.0], [0.0, 0.0, 8.0, 16.0, 10.0, 2.0, 0.0, 0.0, 0.0, 0.0, 12.0, 13.0, 14.0, 11.0, 0.0, 0.0, 0.0, 0.0, 10.0, 13.0, 8.0, 16.0, 2.0, 0.0, 0.0, 0.0, 4.0, 15.0, 15.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 3.0, 8.0, 11.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 4.0, 0.0, 0.0, 1.0, 2.0, 2.0, 7.0, 16.0, 5.0, 0.0, 0.0, 3.0, 14.0, 16.0, 16.0, 11.0, 1.0], [0.0, 0.0, 7.0, 11.0, 3.0, 1.0, 0.0, 0.0, 0.0, 1.0, 14.0, 16.0, 13.0, 13.0, 0.0, 0.0, 0.0, 3.0, 16.0, 12.0, 1.0, 6.0, 6.0, 0.0, 0.0, 4.0, 10.0, 4.0, 0.0, 4.0, 8.0, 0.0, 0.0, 8.0, 8.0, 0.0, 0.0, 11.0, 5.0, 0.0, 0.0, 7.0, 9.0, 0.0, 2.0, 14.0, 0.0, 0.0, 0.0, 1.0, 12.0, 4.0, 12.0, 10.0, 0.0, 0.0, 0.0, 0.0, 6.0, 14.0, 9.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 8.0, 13.0, 3.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 16.0, 8.0, 0.0, 0.0, 0.0, 12.0, 16.0, 16.0, 16.0, 2.0, 0.0, 0.0, 0.0, 9.0, 9.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 15.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 13.0, 2.0, 0.0, 0.0], [0.0, 2.0, 10.0, 14.0, 16.0, 12.0, 0.0, 0.0, 0.0, 10.0, 12.0, 7.0, 10.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 15.0, 12.0, 16.0, 10.0, 0.0, 0.0, 1.0, 16.0, 13.0, 9.0, 3.0, 0.0, 0.0], [0.0, 1.0, 8.0, 10.0, 14.0, 10.0, 0.0, 0.0, 0.0, 12.0, 10.0, 6.0, 6.0, 16.0, 2.0, 0.0, 0.0, 3.0, 0.0, 0.0, 7.0, 14.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 12.0, 0.0, 0.0, 0.0, 4.0, 0.0, 2.0, 11.0, 9.0, 0.0, 0.0, 0.0, 12.0, 16.0, 14.0, 12.0, 4.0, 0.0], [0.0, 0.0, 0.0, 11.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 10.0, 4.0, 11.0, 0.0, 0.0, 0.0, 11.0, 13.0, 0.0, 9.0, 16.0, 0.0, 0.0, 0.0, 12.0, 13.0, 5.0, 14.0, 16.0, 8.0, 0.0, 0.0, 3.0, 12.0, 14.0, 16.0, 11.0, 3.0, 0.0, 0.0, 0.0, 0.0, 10.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 8.0, 0.0, 0.0, 0.0], [0.0, 5.0, 15.0, 12.0, 12.0, 12.0, 4.0, 0.0, 0.0, 10.0, 14.0, 12.0, 12.0, 9.0, 7.0, 0.0, 0.0, 12.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 15.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 4.0, 0.0, 0.0, 0.0, 0.0, 1.0, 7.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 4.0, 15.0, 12.0, 0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 6.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 10.0, 12.0, 9.0, 2.0, 0.0, 0.0, 0.0, 13.0, 8.0, 2.0, 5.0, 13.0, 0.0, 0.0, 0.0, 6.0, 11.0, 1.0, 2.0, 16.0, 3.0, 0.0, 0.0, 0.0, 8.0, 11.0, 14.0, 11.0, 2.0], [0.0, 0.0, 2.0, 9.0, 14.0, 16.0, 15.0, 0.0, 0.0, 3.0, 16.0, 13.0, 8.0, 10.0, 16.0, 0.0, 0.0, 1.0, 2.0, 0.0, 0.0, 11.0, 9.0, 0.0, 0.0, 0.0, 3.0, 11.0, 12.0, 16.0, 11.0, 0.0, 0.0, 0.0, 12.0, 14.0, 16.0, 12.0, 2.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 5.0, 0.0, 0.0, 0.0], [0.0, 1.0, 12.0, 15.0, 16.0, 13.0, 1.0, 0.0, 0.0, 4.0, 16.0, 15.0, 7.0, 15.0, 4.0, 0.0, 0.0, 0.0, 16.0, 6.0, 11.0, 15.0, 2.0, 0.0, 0.0, 0.0, 9.0, 16.0, 15.0, 4.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 15.0, 11.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 10.0, 12.0, 0.0, 0.0, 0.0, 0.0, 2.0, 13.0, 16.0, 10.0, 0.0, 0.0, 0.0], [0.0, 0.0, 13.0, 14.0, 9.0, 1.0, 0.0, 0.0, 0.0, 5.0, 16.0, 12.0, 12.0, 12.0, 1.0, 0.0, 0.0, 6.0, 16.0, 2.0, 2.0, 16.0, 5.0, 0.0, 0.0, 3.0, 16.0, 5.0, 3.0, 16.0, 9.0, 0.0, 0.0, 0.0, 9.0, 16.0, 16.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 6.0, 7.0, 15.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 5.0, 0.0, 0.0, 0.0, 10.0, 16.0, 16.0, 12.0, 0.0, 0.0], [0.0, 0.0, 9.0, 14.0, 15.0, 6.0, 0.0, 0.0, 0.0, 2.0, 16.0, 12.0, 1.0, 13.0, 0.0, 0.0, 0.0, 3.0, 12.0, 7.0, 0.0, 8.0, 4.0, 0.0, 0.0, 6.0, 11.0, 4.0, 0.0, 7.0, 2.0, 0.0, 0.0, 4.0, 9.0, 0.0, 0.0, 12.0, 1.0, 0.0, 0.0, 3.0, 9.0, 0.0, 4.0, 11.0, 0.0, 0.0, 0.0, 1.0, 12.0, 5.0, 12.0, 3.0, 0.0, 0.0, 0.0, 0.0, 6.0, 14.0, 5.0, 0.0, 0.0, 0.0], [0.0, 1.0, 9.0, 15.0, 13.0, 4.0, 0.0, 0.0, 0.0, 8.0, 12.0, 4.0, 8.0, 8.0, 0.0, 0.0, 0.0, 9.0, 11.0, 0.0, 5.0, 16.0, 3.0, 0.0, 0.0, 4.0, 13.0, 8.0, 16.0, 16.0, 6.0, 0.0, 0.0, 0.0, 4.0, 8.0, 2.0, 11.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 8.0, 0.0, 0.0, 0.0, 7.0, 0.0, 3.0, 14.0, 6.0, 0.0, 0.0, 0.0, 7.0, 16.0, 14.0, 8.0, 0.0, 0.0], [0.0, 1.0, 7.0, 14.0, 16.0, 12.0, 1.0, 0.0, 0.0, 7.0, 16.0, 9.0, 6.0, 11.0, 1.0, 0.0, 0.0, 11.0, 12.0, 4.0, 1.0, 0.0, 0.0, 0.0, 0.0, 12.0, 16.0, 16.0, 15.0, 6.0, 0.0, 0.0, 0.0, 3.0, 9.0, 4.0, 11.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 13.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 15.0, 3.0, 0.0, 0.0], [0.0, 3.0, 16.0, 13.0, 15.0, 16.0, 11.0, 0.0, 0.0, 5.0, 16.0, 14.0, 12.0, 8.0, 10.0, 0.0, 0.0, 2.0, 16.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 11.0, 0.0, 0.0, 0.0, 3.0, 6.0, 8.0, 16.0, 7.0, 0.0, 0.0, 0.0, 2.0, 15.0, 15.0, 9.0, 0.0, 0.0, 0.0], [0.0, 0.0, 2.0, 14.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 8.0, 4.0, 2.0, 0.0, 0.0, 0.0, 4.0, 16.0, 16.0, 16.0, 15.0, 3.0, 0.0, 0.0, 2.0, 16.0, 12.0, 4.0, 6.0, 16.0, 2.0, 0.0, 0.0, 13.0, 8.0, 3.0, 6.0, 16.0, 6.0, 0.0, 0.0, 2.0, 13.0, 14.0, 16.0, 12.0, 1.0], [0.0, 3.0, 14.0, 14.0, 16.0, 16.0, 10.0, 0.0, 0.0, 9.0, 15.0, 9.0, 7.0, 1.0, 0.0, 0.0, 0.0, 10.0, 16.0, 11.0, 1.0, 0.0, 0.0, 0.0, 0.0, 1.0, 7.0, 14.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 15.0, 0.0, 0.0, 0.0, 0.0, 1.0, 1.0, 11.0, 10.0, 0.0, 0.0, 0.0, 0.0, 3.0, 15.0, 16.0, 4.0, 0.0, 0.0, 0.0], [0.0, 0.0, 7.0, 14.0, 16.0, 13.0, 1.0, 0.0, 0.0, 0.0, 15.0, 13.0, 3.0, 13.0, 8.0, 0.0, 0.0, 6.0, 15.0, 2.0, 0.0, 8.0, 8.0, 0.0, 0.0, 6.0, 16.0, 0.0, 0.0, 6.0, 11.0, 0.0, 0.0, 9.0, 13.0, 0.0, 0.0, 13.0, 9.0, 0.0, 0.0, 5.0, 15.0, 0.0, 5.0, 16.0, 5.0, 0.0, 0.0, 4.0, 16.0, 9.0, 16.0, 12.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 12.0, 3.0, 0.0, 0.0], [0.0, 0.0, 6.0, 12.0, 14.0, 4.0, 0.0, 0.0, 0.0, 2.0, 15.0, 2.0, 1.0, 15.0, 0.0, 0.0, 0.0, 2.0, 14.0, 0.0, 3.0, 16.0, 2.0, 0.0, 0.0, 0.0, 13.0, 5.0, 14.0, 14.0, 6.0, 0.0, 0.0, 0.0, 2.0, 8.0, 4.0, 7.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 9.0, 0.0, 0.0, 0.0, 5.0, 0.0, 5.0, 14.0, 3.0, 0.0, 0.0, 0.0, 7.0, 13.0, 12.0, 4.0, 0.0, 0.0], [0.0, 1.0, 13.0, 9.0, 8.0, 13.0, 2.0, 0.0, 0.0, 10.0, 7.0, 0.0, 0.0, 12.0, 2.0, 0.0, 0.0, 9.0, 6.0, 0.0, 9.0, 6.0, 0.0, 0.0, 0.0, 1.0, 13.0, 10.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 2.0, 12.0, 5.0, 12.0, 1.0, 0.0, 0.0, 0.0, 4.0, 9.0, 0.0, 9.0, 5.0, 0.0, 0.0, 0.0, 1.0, 12.0, 11.0, 8.0, 0.0, 0.0, 0.0], [0.0, 1.0, 7.0, 14.0, 10.0, 0.0, 0.0, 0.0, 0.0, 10.0, 12.0, 5.0, 9.0, 7.0, 0.0, 0.0, 0.0, 10.0, 6.0, 0.0, 6.0, 15.0, 0.0, 0.0, 0.0, 5.0, 11.0, 11.0, 14.0, 15.0, 1.0, 0.0, 0.0, 0.0, 2.0, 7.0, 1.0, 10.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 5.0, 0.0, 0.0, 0.0, 5.0, 3.0, 0.0, 13.0, 5.0, 0.0, 0.0, 0.0, 4.0, 14.0, 14.0, 12.0, 2.0, 0.0], [0.0, 0.0, 13.0, 14.0, 12.0, 15.0, 4.0, 0.0, 0.0, 0.0, 16.0, 5.0, 5.0, 16.0, 5.0, 0.0, 0.0, 0.0, 13.0, 7.0, 15.0, 4.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 2.0, 13.0, 10.0, 6.0, 0.0, 0.0, 0.0, 0.0, 8.0, 5.0, 1.0, 15.0, 0.0, 0.0, 0.0, 0.0, 5.0, 8.0, 1.0, 16.0, 0.0, 0.0, 0.0, 0.0, 1.0, 10.0, 16.0, 8.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 3.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 2.0, 5.0, 12.0, 0.0, 0.0, 3.0, 15.0, 8.0, 0.0, 11.0, 13.0, 0.0, 0.0, 9.0, 16.0, 4.0, 7.0, 16.0, 8.0, 0.0, 0.0, 9.0, 16.0, 16.0, 16.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 9.0, 0.0, 0.0], [0.0, 0.0, 7.0, 16.0, 13.0, 4.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 14.0, 1.0, 0.0, 0.0, 0.0, 0.0, 4.0, 12.0, 14.0, 8.0, 0.0, 0.0], [0.0, 0.0, 12.0, 16.0, 16.0, 12.0, 0.0, 0.0, 0.0, 0.0, 6.0, 4.0, 10.0, 13.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 9.0, 0.0, 0.0, 0.0, 0.0, 5.0, 9.0, 16.0, 16.0, 12.0, 0.0, 0.0, 3.0, 16.0, 16.0, 11.0, 3.0, 0.0, 0.0, 0.0, 0.0, 7.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0], [0.0, 1.0, 9.0, 12.0, 16.0, 16.0, 4.0, 0.0, 0.0, 1.0, 11.0, 8.0, 7.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 13.0, 0.0, 0.0, 0.0, 0.0, 5.0, 11.0, 15.0, 15.0, 9.0, 0.0, 0.0, 0.0, 16.0, 15.0, 13.0, 5.0, 2.0, 0.0, 0.0, 0.0, 2.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 14.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 10.0, 0.0, 0.0, 0.0, 0.0], [0.0, 2.0, 10.0, 15.0, 16.0, 16.0, 14.0, 0.0, 0.0, 7.0, 11.0, 4.0, 6.0, 15.0, 9.0, 0.0, 0.0, 0.0, 0.0, 6.0, 15.0, 12.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 15.0, 2.0, 0.0, 0.0, 0.0, 0.0, 1.0, 6.0, 16.0, 2.0, 0.0, 0.0, 0.0, 1.0, 16.0, 16.0, 6.0, 0.0, 0.0, 0.0], [0.0, 0.0, 2.0, 12.0, 16.0, 16.0, 7.0, 0.0, 0.0, 0.0, 10.0, 13.0, 7.0, 8.0, 3.0, 0.0, 0.0, 2.0, 15.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 14.0, 7.0, 5.0, 1.0, 0.0, 0.0, 0.0, 5.0, 16.0, 16.0, 16.0, 15.0, 6.0, 0.0, 0.0, 0.0, 4.0, 4.0, 4.0, 14.0, 8.0, 0.0, 0.0, 0.0, 0.0, 4.0, 7.0, 14.0, 5.0, 0.0, 0.0, 0.0, 2.0, 15.0, 15.0, 5.0, 0.0, 0.0], [0.0, 0.0, 0.0, 4.0, 15.0, 12.0, 0.0, 0.0, 0.0, 0.0, 5.0, 15.0, 16.0, 11.0, 0.0, 0.0, 0.0, 8.0, 16.0, 16.0, 16.0, 4.0, 0.0, 0.0, 0.0, 14.0, 11.0, 11.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 5.0, 0.0, 0.0], [0.0, 2.0, 8.0, 15.0, 16.0, 10.0, 0.0, 0.0, 0.0, 11.0, 16.0, 10.0, 4.0, 15.0, 1.0, 0.0, 0.0, 12.0, 13.0, 0.0, 0.0, 13.0, 5.0, 0.0, 0.0, 11.0, 13.0, 0.0, 0.0, 15.0, 7.0, 0.0, 0.0, 8.0, 16.0, 0.0, 0.0, 15.0, 6.0, 0.0, 0.0, 6.0, 16.0, 1.0, 5.0, 16.0, 2.0, 0.0, 0.0, 2.0, 16.0, 6.0, 15.0, 12.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 14.0, 1.0, 0.0, 0.0], [0.0, 0.0, 8.0, 15.0, 16.0, 11.0, 0.0, 0.0, 0.0, 2.0, 16.0, 10.0, 4.0, 14.0, 4.0, 0.0, 0.0, 6.0, 16.0, 2.0, 0.0, 8.0, 8.0, 0.0, 0.0, 10.0, 12.0, 0.0, 0.0, 11.0, 6.0, 0.0, 0.0, 9.0, 11.0, 0.0, 0.0, 15.0, 6.0, 0.0, 0.0, 8.0, 12.0, 0.0, 7.0, 15.0, 1.0, 0.0, 0.0, 2.0, 15.0, 7.0, 15.0, 9.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 12.0, 1.0, 0.0, 0.0], [0.0, 1.0, 13.0, 16.0, 15.0, 6.0, 0.0, 0.0, 0.0, 10.0, 15.0, 9.0, 11.0, 15.0, 0.0, 0.0, 0.0, 7.0, 9.0, 0.0, 12.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0, 2.0, 15.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 10.0, 9.0, 16.0, 2.0, 0.0, 0.0, 13.0, 16.0, 15.0, 11.0, 4.0, 0.0], [0.0, 0.0, 9.0, 16.0, 15.0, 3.0, 0.0, 0.0, 0.0, 7.0, 15.0, 7.0, 16.0, 7.0, 0.0, 0.0, 0.0, 2.0, 2.0, 0.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 3.0, 3.0, 5.0, 0.0, 0.0, 0.0, 11.0, 14.0, 10.0, 16.0, 6.0, 0.0, 0.0, 0.0, 11.0, 16.0, 13.0, 5.0, 0.0, 0.0], [0.0, 0.0, 3.0, 12.0, 16.0, 13.0, 0.0, 0.0, 0.0, 1.0, 14.0, 9.0, 10.0, 13.0, 0.0, 0.0, 0.0, 0.0, 2.0, 0.0, 10.0, 10.0, 0.0, 0.0, 0.0, 0.0, 3.0, 7.0, 15.0, 16.0, 10.0, 0.0, 0.0, 0.0, 16.0, 16.0, 15.0, 3.0, 0.0, 0.0, 0.0, 0.0, 3.0, 13.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 15.0, 0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 5.0, 12.0, 16.0, 10.0, 0.0, 0.0, 0.0, 6.0, 16.0, 13.0, 3.0, 15.0, 1.0, 0.0, 0.0, 11.0, 8.0, 5.0, 5.0, 10.0, 0.0, 0.0, 0.0, 4.0, 11.0, 2.0, 12.0, 2.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 15.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 13.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 15.0, 4.0, 0.0, 0.0, 0.0], [0.0, 4.0, 15.0, 16.0, 13.0, 1.0, 0.0, 0.0, 0.0, 9.0, 14.0, 10.0, 16.0, 6.0, 0.0, 0.0, 0.0, 1.0, 1.0, 6.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 14.0, 1.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 9.0, 8.0, 8.0, 10.0, 0.0, 0.0, 4.0, 15.0, 16.0, 16.0, 16.0, 9.0, 0.0], [0.0, 0.0, 6.0, 14.0, 13.0, 1.0, 0.0, 0.0, 0.0, 3.0, 16.0, 10.0, 5.0, 11.0, 0.0, 0.0, 0.0, 5.0, 16.0, 0.0, 0.0, 13.0, 0.0, 0.0, 0.0, 6.0, 12.0, 0.0, 0.0, 12.0, 3.0, 0.0, 0.0, 7.0, 12.0, 0.0, 0.0, 13.0, 3.0, 0.0, 0.0, 3.0, 11.0, 0.0, 5.0, 12.0, 0.0, 0.0, 0.0, 0.0, 13.0, 4.0, 15.0, 4.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 6.0, 0.0, 0.0, 0.0], [0.0, 0.0, 1.0, 16.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 11.0, 0.0, 0.0, 0.0], [0.0, 1.0, 10.0, 15.0, 15.0, 5.0, 0.0, 0.0, 0.0, 11.0, 16.0, 9.0, 12.0, 10.0, 0.0, 0.0, 0.0, 15.0, 6.0, 0.0, 14.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 1.0, 15.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 1.0, 15.0, 11.0, 8.0, 12.0, 14.0, 1.0, 0.0, 1.0, 15.0, 16.0, 16.0, 12.0, 5.0, 0.0], [0.0, 0.0, 0.0, 14.0, 13.0, 1.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 1.0, 15.0, 16.0, 14.0, 1.0, 0.0, 0.0, 0.0, 4.0, 16.0, 12.0, 8.0, 12.0, 7.0, 0.0, 0.0, 2.0, 15.0, 8.0, 0.0, 8.0, 16.0, 2.0, 0.0, 0.0, 10.0, 14.0, 9.0, 15.0, 15.0, 1.0, 0.0, 0.0, 1.0, 14.0, 16.0, 14.0, 2.0, 0.0], [0.0, 2.0, 9.0, 15.0, 16.0, 15.0, 2.0, 0.0, 0.0, 11.0, 11.0, 5.0, 9.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 12.0, 0.0, 0.0, 0.0, 5.0, 3.0, 6.0, 15.0, 7.0, 0.0, 0.0, 0.0, 12.0, 16.0, 15.0, 9.0, 1.0, 0.0], [0.0, 0.0, 8.0, 14.0, 16.0, 13.0, 1.0, 0.0, 0.0, 10.0, 9.0, 4.0, 6.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 1.0, 10.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 14.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 13.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 13.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 4.0, 0.0, 0.0, 0.0, 14.0, 16.0, 13.0, 9.0, 0.0, 0.0], [0.0, 0.0, 4.0, 11.0, 16.0, 16.0, 2.0, 0.0, 0.0, 0.0, 8.0, 8.0, 9.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 12.0, 3.0, 0.0, 0.0, 6.0, 15.0, 16.0, 16.0, 15.0, 6.0, 0.0, 0.0, 3.0, 7.0, 11.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 12.0, 0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 9.0, 14.0, 16.0, 16.0, 2.0, 0.0, 0.0, 7.0, 15.0, 7.0, 4.0, 14.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 15.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 12.0, 0.0, 0.0, 0.0, 0.0, 15.0, 2.0, 8.0, 14.0, 0.0, 0.0, 0.0, 0.0, 10.0, 15.0, 12.0, 3.0, 0.0, 0.0], [0.0, 2.0, 13.0, 16.0, 16.0, 15.0, 4.0, 0.0, 0.0, 7.0, 12.0, 8.0, 8.0, 16.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 15.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 11.0, 0.0, 0.0, 0.0, 4.0, 4.0, 7.0, 16.0, 10.0, 0.0, 0.0, 2.0, 15.0, 16.0, 16.0, 12.0, 1.0, 0.0], [0.0, 0.0, 0.0, 1.0, 14.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 12.0, 1.0, 0.0, 0.0, 0.0, 0.0, 5.0, 15.0, 1.0, 0.0, 2.0, 4.0, 0.0, 0.0, 14.0, 7.0, 0.0, 0.0, 13.0, 10.0, 0.0, 0.0, 15.0, 16.0, 16.0, 16.0, 16.0, 5.0, 0.0, 0.0, 3.0, 8.0, 8.0, 15.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 15.0, 2.0, 0.0, 0.0], [0.0, 0.0, 0.0, 9.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 15.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 8.0, 4.0, 3.0, 0.0, 0.0, 0.0, 0.0, 14.0, 16.0, 12.0, 14.0, 5.0, 0.0, 0.0, 0.0, 12.0, 10.0, 0.0, 4.0, 13.0, 0.0, 0.0, 0.0, 9.0, 11.0, 0.0, 6.0, 16.0, 1.0, 0.0, 0.0, 0.0, 8.0, 14.0, 15.0, 8.0, 0.0], [0.0, 0.0, 0.0, 14.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 15.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 16.0, 16.0, 10.0, 1.0, 0.0, 0.0, 2.0, 16.0, 12.0, 4.0, 11.0, 12.0, 0.0, 0.0, 0.0, 10.0, 14.0, 6.0, 14.0, 15.0, 0.0, 0.0, 0.0, 1.0, 13.0, 16.0, 16.0, 10.0, 0.0], [0.0, 0.0, 0.0, 13.0, 15.0, 2.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 11.0, 1.0, 0.0, 0.0, 0.0, 0.0, 13.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 14.0, 15.0, 8.0, 0.0, 0.0, 0.0, 1.0, 16.0, 15.0, 8.0, 13.0, 9.0, 0.0, 0.0, 0.0, 11.0, 10.0, 0.0, 11.0, 16.0, 0.0, 0.0, 0.0, 2.0, 14.0, 16.0, 16.0, 13.0, 0.0], [0.0, 0.0, 0.0, 4.0, 15.0, 7.0, 0.0, 0.0, 0.0, 0.0, 3.0, 15.0, 12.0, 0.0, 0.0, 0.0, 0.0, 1.0, 14.0, 12.0, 0.0, 2.0, 11.0, 0.0, 0.0, 10.0, 14.0, 0.0, 0.0, 13.0, 12.0, 0.0, 0.0, 11.0, 15.0, 12.0, 15.0, 16.0, 5.0, 0.0, 0.0, 4.0, 10.0, 8.0, 16.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 14.0, 0.0, 0.0, 0.0], [0.0, 0.0, 9.0, 16.0, 10.0, 2.0, 0.0, 0.0, 0.0, 0.0, 16.0, 14.0, 11.0, 10.0, 0.0, 0.0, 0.0, 1.0, 16.0, 9.0, 12.0, 15.0, 0.0, 0.0, 0.0, 0.0, 7.0, 15.0, 16.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 10.0, 6.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 15.0, 9.0, 0.0, 0.0, 0.0, 0.0, 1.0, 7.0, 16.0, 8.0, 0.0, 0.0, 0.0, 6.0, 16.0, 16.0, 14.0, 1.0, 0.0], [0.0, 0.0, 6.0, 16.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 16.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 15.0, 16.0, 3.0, 0.0, 0.0], [0.0, 0.0, 10.0, 12.0, 16.0, 16.0, 8.0, 0.0, 0.0, 4.0, 16.0, 16.0, 11.0, 5.0, 4.0, 0.0, 0.0, 10.0, 12.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 14.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 10.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 4.0, 8.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 13.0, 16.0, 11.0, 0.0, 0.0, 0.0], [0.0, 0.0, 7.0, 5.0, 14.0, 13.0, 0.0, 0.0, 0.0, 0.0, 16.0, 15.0, 6.0, 9.0, 2.0, 0.0, 0.0, 4.0, 16.0, 7.0, 0.0, 4.0, 4.0, 0.0, 0.0, 6.0, 12.0, 1.0, 0.0, 5.0, 7.0, 0.0, 0.0, 8.0, 7.0, 0.0, 0.0, 12.0, 3.0, 0.0, 0.0, 4.0, 8.0, 0.0, 4.0, 12.0, 0.0, 0.0, 0.0, 2.0, 12.0, 5.0, 15.0, 4.0, 0.0, 0.0, 0.0, 0.0, 6.0, 15.0, 6.0, 0.0, 0.0, 0.0], [0.0, 0.0, 9.0, 16.0, 16.0, 7.0, 0.0, 0.0, 0.0, 2.0, 16.0, 11.0, 4.0, 15.0, 2.0, 0.0, 0.0, 4.0, 16.0, 2.0, 2.0, 16.0, 6.0, 0.0, 0.0, 0.0, 13.0, 11.0, 13.0, 16.0, 10.0, 0.0, 0.0, 0.0, 1.0, 10.0, 13.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 2.0, 13.0, 14.0, 1.0, 0.0, 0.0, 0.0, 11.0, 15.0, 15.0, 6.0, 0.0, 0.0], [0.0, 0.0, 9.0, 16.0, 16.0, 7.0, 0.0, 0.0, 0.0, 7.0, 16.0, 12.0, 7.0, 11.0, 2.0, 0.0, 0.0, 13.0, 13.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 10.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 12.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 3.0, 0.0, 0.0, 0.0, 1.0, 0.0, 11.0, 16.0, 1.0, 0.0, 0.0, 0.0, 7.0, 16.0, 16.0, 6.0, 0.0, 0.0], [0.0, 2.0, 11.0, 16.0, 15.0, 6.0, 0.0, 0.0, 0.0, 11.0, 15.0, 9.0, 14.0, 13.0, 0.0, 0.0, 0.0, 7.0, 1.0, 0.0, 13.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 1.0, 11.0, 13.0, 1.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 2.0, 15.0, 9.0, 2.0, 4.0, 4.0, 0.0, 0.0, 2.0, 15.0, 16.0, 16.0, 16.0, 16.0, 1.0], [0.0, 2.0, 9.0, 16.0, 13.0, 13.0, 2.0, 0.0, 0.0, 11.0, 11.0, 4.0, 2.0, 10.0, 4.0, 0.0, 0.0, 6.0, 12.0, 2.0, 4.0, 12.0, 0.0, 0.0, 0.0, 0.0, 6.0, 14.0, 13.0, 2.0, 0.0, 0.0, 0.0, 0.0, 1.0, 14.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 7.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 5.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 14.0, 3.0, 0.0, 0.0, 0.0], [0.0, 1.0, 12.0, 16.0, 14.0, 8.0, 0.0, 0.0, 0.0, 4.0, 16.0, 8.0, 10.0, 15.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 1.0, 12.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 1.0, 14.0, 15.0, 6.0, 10.0, 11.0, 0.0, 0.0, 0.0, 13.0, 16.0, 16.0, 14.0, 8.0, 1.0], [0.0, 0.0, 11.0, 8.0, 12.0, 5.0, 0.0, 0.0, 0.0, 1.0, 15.0, 11.0, 6.0, 14.0, 2.0, 0.0, 0.0, 4.0, 11.0, 0.0, 0.0, 9.0, 4.0, 0.0, 0.0, 4.0, 8.0, 0.0, 0.0, 8.0, 6.0, 0.0, 0.0, 6.0, 7.0, 0.0, 0.0, 11.0, 3.0, 0.0, 0.0, 5.0, 8.0, 0.0, 5.0, 13.0, 0.0, 0.0, 0.0, 3.0, 13.0, 5.0, 15.0, 3.0, 0.0, 0.0, 0.0, 0.0, 9.0, 14.0, 4.0, 0.0, 0.0, 0.0], [0.0, 0.0, 4.0, 13.0, 15.0, 6.0, 0.0, 0.0, 0.0, 0.0, 15.0, 11.0, 2.0, 14.0, 2.0, 0.0, 0.0, 3.0, 14.0, 1.0, 0.0, 12.0, 4.0, 0.0, 0.0, 5.0, 12.0, 0.0, 0.0, 9.0, 5.0, 0.0, 0.0, 5.0, 5.0, 0.0, 0.0, 12.0, 2.0, 0.0, 0.0, 4.0, 9.0, 0.0, 2.0, 13.0, 2.0, 0.0, 0.0, 0.0, 13.0, 2.0, 14.0, 7.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 7.0, 0.0, 0.0, 0.0], [0.0, 0.0, 3.0, 16.0, 12.0, 1.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 14.0, 0.0, 0.0, 0.0], [0.0, 1.0, 13.0, 16.0, 16.0, 12.0, 0.0, 0.0, 0.0, 3.0, 12.0, 6.0, 11.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 12.0, 0.0, 0.0, 0.0, 1.0, 9.0, 15.0, 16.0, 16.0, 9.0, 0.0, 0.0, 2.0, 12.0, 15.0, 14.0, 5.0, 5.0, 0.0, 0.0, 0.0, 5.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 3.0, 0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 1.0, 9.0, 15.0, 2.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 7.0, 1.0, 0.0, 0.0, 0.0, 0.0, 14.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 6.0, 8.0, 4.0, 0.0, 0.0, 0.0, 0.0, 15.0, 16.0, 13.0, 14.0, 7.0, 0.0, 0.0, 0.0, 14.0, 3.0, 0.0, 3.0, 12.0, 0.0, 0.0, 0.0, 6.0, 9.0, 7.0, 9.0, 15.0, 0.0, 0.0, 0.0, 0.0, 10.0, 14.0, 14.0, 2.0, 0.0], [0.0, 3.0, 12.0, 15.0, 16.0, 16.0, 3.0, 0.0, 0.0, 6.0, 16.0, 9.0, 9.0, 16.0, 6.0, 0.0, 0.0, 0.0, 3.0, 0.0, 11.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 11.0, 0.0, 0.0, 0.0, 0.0, 4.0, 5.0, 15.0, 14.0, 0.0, 0.0, 0.0, 3.0, 16.0, 16.0, 15.0, 6.0, 0.0, 0.0], [0.0, 1.0, 13.0, 16.0, 16.0, 5.0, 0.0, 0.0, 0.0, 7.0, 10.0, 4.0, 10.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 15.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 12.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 3.0, 1.0, 5.0, 3.0, 0.0, 0.0, 1.0, 15.0, 16.0, 16.0, 15.0, 3.0, 0.0], [0.0, 0.0, 1.0, 12.0, 16.0, 8.0, 0.0, 0.0, 0.0, 2.0, 13.0, 16.0, 16.0, 8.0, 0.0, 0.0, 0.0, 13.0, 16.0, 14.0, 16.0, 12.0, 0.0, 0.0, 0.0, 11.0, 6.0, 7.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 13.0, 0.0, 0.0, 0.0], [0.0, 0.0, 9.0, 15.0, 15.0, 2.0, 0.0, 0.0, 0.0, 3.0, 11.0, 4.0, 15.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 2.0, 0.0, 0.0, 0.0, 2.0, 12.0, 13.0, 16.0, 16.0, 11.0, 0.0, 0.0, 2.0, 12.0, 15.0, 11.0, 6.0, 1.0, 0.0, 0.0, 0.0, 3.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 7.0, 0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 2.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 15.0, 2.0, 1.0, 0.0, 0.0, 0.0, 1.0, 15.0, 8.0, 1.0, 13.0, 11.0, 0.0, 0.0, 9.0, 16.0, 7.0, 12.0, 16.0, 4.0, 0.0, 0.0, 5.0, 13.0, 16.0, 16.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 2.0, 0.0, 0.0], [0.0, 0.0, 0.0, 7.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 10.0, 8.0, 6.0, 1.0, 0.0, 0.0, 0.0, 15.0, 16.0, 8.0, 10.0, 8.0, 0.0, 0.0, 0.0, 14.0, 7.0, 0.0, 0.0, 12.0, 0.0, 0.0, 0.0, 8.0, 11.0, 0.0, 5.0, 16.0, 2.0, 0.0, 0.0, 0.0, 9.0, 14.0, 14.0, 5.0, 0.0], [0.0, 0.0, 10.0, 16.0, 16.0, 11.0, 0.0, 0.0, 0.0, 1.0, 11.0, 7.0, 6.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 13.0, 0.0, 0.0, 0.0, 0.0, 5.0, 4.0, 10.0, 16.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 16.0, 10.0, 0.0, 0.0], [0.0, 0.0, 4.0, 12.0, 13.0, 2.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 16.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 13.0, 0.0, 0.0, 0.0], [0.0, 1.0, 7.0, 15.0, 16.0, 9.0, 0.0, 0.0, 1.0, 13.0, 14.0, 7.0, 14.0, 14.0, 0.0, 0.0, 0.0, 6.0, 1.0, 8.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 15.0, 6.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 15.0, 11.0, 0.0, 0.0, 0.0, 5.0, 1.0, 0.0, 11.0, 16.0, 2.0, 0.0, 0.0, 10.0, 16.0, 16.0, 16.0, 7.0, 0.0], [0.0, 1.0, 7.0, 13.0, 14.0, 3.0, 0.0, 0.0, 0.0, 10.0, 13.0, 2.0, 5.0, 10.0, 0.0, 0.0, 0.0, 12.0, 4.0, 0.0, 7.0, 16.0, 0.0, 0.0, 0.0, 6.0, 10.0, 9.0, 13.0, 15.0, 1.0, 0.0, 0.0, 0.0, 2.0, 4.0, 0.0, 14.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 2.0, 0.0, 0.0, 0.0, 6.0, 0.0, 5.0, 14.0, 0.0, 0.0, 0.0, 0.0, 5.0, 14.0, 14.0, 5.0, 0.0, 0.0], [0.0, 0.0, 3.0, 12.0, 12.0, 3.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 16.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 10.0, 1.0, 0.0, 0.0, 0.0, 0.0, 5.0, 13.0, 14.0, 4.0, 0.0, 0.0], [0.0, 0.0, 5.0, 14.0, 15.0, 2.0, 0.0, 0.0, 0.0, 6.0, 16.0, 10.0, 15.0, 8.0, 0.0, 0.0, 0.0, 1.0, 4.0, 0.0, 8.0, 8.0, 0.0, 0.0, 0.0, 0.0, 1.0, 7.0, 16.0, 16.0, 8.0, 0.0, 0.0, 0.0, 13.0, 16.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 6.0, 10.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 15.0, 2.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 9.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 15.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 11.0, 8.0, 4.0, 0.0, 0.0, 0.0, 0.0, 15.0, 16.0, 8.0, 12.0, 5.0, 0.0, 0.0, 0.0, 14.0, 13.0, 0.0, 1.0, 15.0, 1.0, 0.0, 0.0, 8.0, 12.0, 0.0, 4.0, 16.0, 2.0, 0.0, 0.0, 0.0, 8.0, 12.0, 13.0, 10.0, 1.0], [0.0, 0.0, 11.0, 16.0, 9.0, 8.0, 0.0, 0.0, 0.0, 0.0, 14.0, 13.0, 6.0, 15.0, 2.0, 0.0, 0.0, 0.0, 9.0, 6.0, 6.0, 10.0, 0.0, 0.0, 0.0, 0.0, 1.0, 14.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 13.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 7.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 0.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 14.0, 8.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 6.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 2.0, 15.0, 14.0, 0.0, 7.0, 1.0, 0.0, 0.0, 6.0, 16.0, 3.0, 3.0, 16.0, 9.0, 0.0, 0.0, 11.0, 16.0, 8.0, 11.0, 16.0, 6.0, 0.0, 0.0, 3.0, 15.0, 16.0, 16.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 3.0, 0.0, 0.0], [0.0, 0.0, 5.0, 12.0, 16.0, 10.0, 0.0, 0.0, 0.0, 8.0, 15.0, 5.0, 12.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 15.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 14.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 11.0, 0.0, 0.0, 0.0, 5.0, 16.0, 16.0, 11.0, 3.0, 0.0], [0.0, 0.0, 3.0, 16.0, 12.0, 1.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 16.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 13.0, 9.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 8.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 16.0, 1.0, 3.0, 5.0, 0.0, 0.0, 5.0, 16.0, 6.0, 2.0, 16.0, 9.0, 0.0, 0.0, 11.0, 16.0, 0.0, 8.0, 16.0, 7.0, 0.0, 0.0, 10.0, 16.0, 16.0, 16.0, 11.0, 1.0, 0.0, 0.0, 1.0, 7.0, 9.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 11.0, 0.0, 0.0, 0.0], [0.0, 0.0, 5.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 10.0, 14.0, 12.0, 0.0, 0.0, 0.0, 2.0, 16.0, 16.0, 8.0, 11.0, 2.0, 0.0, 0.0, 3.0, 16.0, 11.0, 0.0, 9.0, 3.0, 0.0, 0.0, 5.0, 12.0, 2.0, 0.0, 12.0, 4.0, 0.0, 0.0, 1.0, 12.0, 0.0, 0.0, 13.0, 3.0, 0.0, 0.0, 0.0, 13.0, 6.0, 8.0, 13.0, 0.0, 0.0, 0.0, 0.0, 3.0, 14.0, 12.0, 3.0, 0.0, 0.0], [0.0, 7.0, 16.0, 16.0, 16.0, 16.0, 11.0, 0.0, 0.0, 8.0, 16.0, 9.0, 6.0, 0.0, 1.0, 0.0, 0.0, 3.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 4.0, 0.0, 14.0, 4.0, 0.0, 0.0, 0.0, 0.0, 9.0, 9.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 5.0, 15.0, 13.0, 0.0, 0.0, 0.0, 0.0], [0.0, 4.0, 13.0, 16.0, 16.0, 15.0, 3.0, 0.0, 0.0, 10.0, 12.0, 7.0, 8.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 1.0, 12.0, 15.0, 2.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 10.0, 0.0, 0.0, 0.0, 5.0, 7.0, 4.0, 15.0, 13.0, 0.0, 0.0, 0.0, 5.0, 16.0, 16.0, 16.0, 7.0, 0.0, 0.0], [0.0, 0.0, 0.0, 12.0, 15.0, 4.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 9.0, 2.0, 0.0, 0.0, 0.0, 0.0, 12.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 11.0, 3.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 14.0, 15.0, 8.0, 0.0, 0.0, 0.0, 1.0, 16.0, 6.0, 0.0, 12.0, 8.0, 0.0, 0.0, 0.0, 12.0, 12.0, 4.0, 13.0, 12.0, 0.0, 0.0, 0.0, 1.0, 11.0, 16.0, 16.0, 4.0, 0.0], [0.0, 2.0, 14.0, 16.0, 16.0, 7.0, 0.0, 0.0, 0.0, 6.0, 15.0, 5.0, 6.0, 13.0, 0.0, 0.0, 0.0, 4.0, 15.0, 0.0, 9.0, 16.0, 6.0, 0.0, 0.0, 2.0, 13.0, 16.0, 16.0, 15.0, 9.0, 0.0, 0.0, 0.0, 1.0, 4.0, 2.0, 15.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 1.0, 12.0, 15.0, 2.0, 0.0, 0.0, 1.0, 14.0, 16.0, 16.0, 6.0, 0.0, 0.0], [0.0, 0.0, 0.0, 12.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 13.0, 8.0, 4.0, 0.0, 0.0, 0.0, 3.0, 16.0, 15.0, 11.0, 15.0, 7.0, 0.0, 0.0, 2.0, 15.0, 10.0, 0.0, 4.0, 15.0, 3.0, 0.0, 0.0, 8.0, 12.0, 4.0, 6.0, 16.0, 5.0, 0.0, 0.0, 1.0, 11.0, 16.0, 16.0, 13.0, 0.0], [0.0, 0.0, 0.0, 14.0, 10.0, 0.0, 0.0, 0.0, 0.0, 3.0, 14.0, 16.0, 13.0, 0.0, 0.0, 0.0, 2.0, 16.0, 16.0, 16.0, 5.0, 0.0, 0.0, 0.0, 1.0, 11.0, 14.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 15.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 13.0, 0.0, 0.0, 0.0], [0.0, 1.0, 8.0, 12.0, 16.0, 16.0, 3.0, 0.0, 0.0, 5.0, 14.0, 8.0, 10.0, 15.0, 0.0, 0.0, 0.0, 0.0, 2.0, 5.0, 14.0, 12.0, 2.0, 0.0, 0.0, 3.0, 15.0, 16.0, 15.0, 12.0, 8.0, 0.0, 0.0, 3.0, 6.0, 14.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 4.0, 0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 15.0, 13.0, 12.0, 12.0, 2.0, 0.0, 0.0, 4.0, 16.0, 16.0, 12.0, 6.0, 0.0, 0.0, 0.0, 0.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 6.0, 0.0, 0.0, 0.0, 0.0, 4.0, 5.0, 14.0, 8.0, 0.0, 0.0, 0.0, 0.0, 1.0, 15.0, 16.0, 4.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 3.0, 15.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 14.0, 3.0, 0.0, 0.0, 0.0, 0.0, 6.0, 15.0, 2.0, 6.0, 6.0, 0.0, 0.0, 2.0, 15.0, 4.0, 0.0, 15.0, 8.0, 0.0, 0.0, 8.0, 12.0, 0.0, 4.0, 16.0, 1.0, 0.0, 0.0, 11.0, 14.0, 12.0, 16.0, 10.0, 0.0, 0.0, 0.0, 2.0, 8.0, 7.0, 15.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 2.0, 0.0, 0.0], [0.0, 0.0, 0.0, 7.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 9.0, 0.0, 0.0, 10.0, 3.0, 0.0, 7.0, 15.0, 0.0, 0.0, 9.0, 15.0, 0.0, 0.0, 12.0, 15.0, 8.0, 10.0, 15.0, 10.0, 0.0, 0.0, 8.0, 15.0, 12.0, 16.0, 12.0, 1.0, 0.0, 0.0, 0.0, 0.0, 5.0, 15.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 13.0, 0.0, 0.0, 0.0], [0.0, 0.0, 5.0, 12.0, 16.0, 16.0, 7.0, 0.0, 0.0, 0.0, 10.0, 9.0, 4.0, 11.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 7.0, 0.0, 0.0, 0.0, 2.0, 10.0, 15.0, 16.0, 13.0, 0.0, 0.0, 0.0, 14.0, 13.0, 16.0, 10.0, 1.0, 0.0, 0.0, 0.0, 3.0, 4.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 13.0, 0.0, 0.0, 0.0, 0.0], [0.0, 2.0, 13.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 6.0, 13.0, 10.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 14.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 14.0, 1.0, 0.0, 0.0, 0.0, 0.0, 1.0, 14.0, 7.0, 0.0, 0.0, 1.0, 0.0, 0.0, 4.0, 16.0, 5.0, 7.0, 12.0, 14.0, 0.0, 0.0, 3.0, 15.0, 16.0, 16.0, 10.0, 1.0, 0.0], [0.0, 1.0, 3.0, 15.0, 15.0, 2.0, 0.0, 0.0, 2.0, 16.0, 16.0, 12.0, 16.0, 6.0, 0.0, 0.0, 1.0, 15.0, 7.0, 6.0, 14.0, 0.0, 0.0, 0.0, 0.0, 5.0, 14.0, 14.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 15.0, 13.0, 8.0, 0.0, 0.0, 0.0, 0.0, 8.0, 12.0, 7.0, 16.0, 0.0, 0.0, 0.0, 0.0, 4.0, 15.0, 16.0, 14.0, 0.0, 0.0], [0.0, 2.0, 15.0, 16.0, 15.0, 1.0, 0.0, 0.0, 0.0, 3.0, 11.0, 5.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0, 2.0, 14.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 3.0, 3.0, 4.0, 3.0, 0.0, 0.0, 4.0, 16.0, 16.0, 16.0, 16.0, 11.0, 0.0], [0.0, 2.0, 13.0, 16.0, 16.0, 10.0, 0.0, 0.0, 2.0, 15.0, 12.0, 7.0, 10.0, 16.0, 0.0, 0.0, 0.0, 3.0, 1.0, 0.0, 12.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 15.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 10.0, 6.0, 8.0, 8.0, 1.0, 0.0, 2.0, 15.0, 16.0, 16.0, 12.0, 12.0, 1.0], [0.0, 4.0, 7.0, 13.0, 16.0, 16.0, 4.0, 0.0, 0.0, 11.0, 16.0, 14.0, 9.0, 2.0, 0.0, 0.0, 0.0, 14.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 13.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 1.0, 3.0, 14.0, 16.0, 3.0, 0.0, 0.0, 0.0, 4.0, 14.0, 16.0, 13.0, 0.0, 0.0, 0.0], [0.0, 0.0, 12.0, 16.0, 16.0, 16.0, 15.0, 0.0, 0.0, 0.0, 3.0, 4.0, 2.0, 8.0, 15.0, 0.0, 0.0, 0.0, 0.0, 2.0, 4.0, 11.0, 11.0, 0.0, 0.0, 0.0, 6.0, 15.0, 16.0, 16.0, 12.0, 0.0, 0.0, 0.0, 5.0, 6.0, 15.0, 7.0, 2.0, 0.0, 0.0, 0.0, 0.0, 10.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 11.0, 0.0, 0.0, 0.0, 0.0], [0.0, 1.0, 14.0, 16.0, 15.0, 4.0, 0.0, 0.0, 0.0, 4.0, 16.0, 9.0, 11.0, 15.0, 3.0, 0.0, 0.0, 6.0, 16.0, 1.0, 8.0, 16.0, 2.0, 0.0, 0.0, 2.0, 14.0, 10.0, 15.0, 16.0, 6.0, 0.0, 0.0, 0.0, 3.0, 11.0, 8.0, 15.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 5.0, 0.0, 0.0, 0.0, 3.0, 3.0, 11.0, 15.0, 1.0, 0.0, 0.0, 0.0, 13.0, 16.0, 14.0, 4.0, 0.0, 0.0], [0.0, 8.0, 16.0, 12.0, 15.0, 16.0, 7.0, 0.0, 0.0, 13.0, 16.0, 14.0, 6.0, 4.0, 1.0, 0.0, 0.0, 12.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 15.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 2.0, 0.0, 0.0, 0.0, 1.0, 4.0, 6.0, 16.0, 5.0, 0.0, 0.0, 0.0, 7.0, 16.0, 16.0, 10.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 3.0, 14.0, 6.0, 0.0, 0.0, 0.0, 0.0, 3.0, 14.0, 10.0, 1.0, 0.0, 0.0, 0.0, 1.0, 13.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 14.0, 1.0, 0.0, 7.0, 5.0, 0.0, 0.0, 11.0, 15.0, 8.0, 9.0, 16.0, 10.0, 0.0, 0.0, 7.0, 16.0, 16.0, 15.0, 15.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 2.0, 0.0, 0.0], [0.0, 0.0, 11.0, 16.0, 16.0, 14.0, 0.0, 0.0, 0.0, 1.0, 16.0, 15.0, 13.0, 15.0, 1.0, 0.0, 0.0, 0.0, 14.0, 15.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 14.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 11.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 16.0, 10.0, 0.0, 0.0, 0.0], [0.0, 0.0, 13.0, 16.0, 16.0, 15.0, 2.0, 0.0, 0.0, 0.0, 14.0, 13.0, 11.0, 16.0, 2.0, 0.0, 0.0, 0.0, 11.0, 13.0, 15.0, 6.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 14.0, 15.0, 0.0, 0.0, 0.0, 0.0, 1.0, 14.0, 3.0, 15.0, 7.0, 0.0, 0.0, 0.0, 6.0, 11.0, 0.0, 15.0, 6.0, 0.0, 0.0, 0.0, 1.0, 13.0, 16.0, 15.0, 3.0, 0.0, 0.0], [0.0, 0.0, 2.0, 14.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 15.0, 3.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 2.0, 1.0, 5.0, 0.0, 0.0, 0.0, 10.0, 13.0, 0.0, 5.0, 16.0, 2.0, 0.0, 0.0, 7.0, 16.0, 9.0, 12.0, 16.0, 11.0, 0.0, 0.0, 0.0, 5.0, 12.0, 16.0, 10.0, 2.0, 0.0, 0.0, 0.0, 0.0, 12.0, 12.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 5.0, 0.0, 0.0, 0.0], [0.0, 0.0, 9.0, 16.0, 16.0, 10.0, 0.0, 0.0, 0.0, 2.0, 16.0, 9.0, 11.0, 11.0, 0.0, 0.0, 0.0, 0.0, 15.0, 7.0, 12.0, 16.0, 3.0, 0.0, 0.0, 0.0, 7.0, 16.0, 15.0, 15.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 10.0, 0.0, 0.0, 0.0, 11.0, 2.0, 6.0, 16.0, 6.0, 0.0, 0.0, 0.0, 9.0, 16.0, 16.0, 11.0, 1.0, 0.0], [0.0, 0.0, 10.0, 13.0, 14.0, 8.0, 0.0, 0.0, 0.0, 0.0, 13.0, 9.0, 5.0, 12.0, 5.0, 0.0, 0.0, 4.0, 13.0, 0.0, 0.0, 4.0, 8.0, 0.0, 0.0, 4.0, 8.0, 0.0, 0.0, 4.0, 8.0, 0.0, 0.0, 8.0, 4.0, 0.0, 0.0, 13.0, 2.0, 0.0, 0.0, 8.0, 4.0, 0.0, 9.0, 10.0, 0.0, 0.0, 0.0, 4.0, 12.0, 12.0, 13.0, 1.0, 0.0, 0.0, 0.0, 1.0, 11.0, 11.0, 1.0, 0.0, 0.0, 0.0], [0.0, 0.0, 14.0, 16.0, 13.0, 9.0, 1.0, 0.0, 0.0, 0.0, 12.0, 10.0, 9.0, 16.0, 3.0, 0.0, 0.0, 0.0, 9.0, 14.0, 13.0, 13.0, 1.0, 0.0, 0.0, 0.0, 3.0, 13.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 12.0, 9.0, 0.0, 0.0, 0.0, 0.0, 13.0, 8.0, 14.0, 6.0, 0.0, 0.0, 0.0, 1.0, 16.0, 11.0, 15.0, 1.0, 0.0, 0.0, 0.0, 1.0, 13.0, 16.0, 6.0, 0.0, 0.0, 0.0], [0.0, 0.0, 9.0, 15.0, 13.0, 3.0, 0.0, 0.0, 0.0, 2.0, 14.0, 2.0, 6.0, 5.0, 0.0, 0.0, 0.0, 4.0, 9.0, 0.0, 0.0, 15.0, 4.0, 0.0, 0.0, 1.0, 13.0, 5.0, 7.0, 16.0, 6.0, 0.0, 0.0, 0.0, 2.0, 7.0, 7.0, 14.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 14.0, 1.0, 0.0, 0.0, 0.0, 3.0, 1.0, 10.0, 9.0, 0.0, 0.0, 0.0, 0.0, 11.0, 15.0, 9.0, 1.0, 0.0, 0.0], [0.0, 0.0, 13.0, 16.0, 9.0, 4.0, 0.0, 0.0, 0.0, 0.0, 15.0, 9.0, 9.0, 15.0, 1.0, 0.0, 0.0, 0.0, 11.0, 9.0, 13.0, 11.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 14.0, 1.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 10.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 16.0, 4.0, 15.0, 7.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 16.0, 3.0, 0.0, 0.0], [0.0, 0.0, 0.0, 12.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 12.0, 9.0, 10.0, 0.0, 0.0, 0.0, 2.0, 16.0, 2.0, 1.0, 11.0, 1.0, 0.0, 0.0, 1.0, 15.0, 0.0, 0.0, 5.0, 8.0, 0.0, 0.0, 2.0, 14.0, 0.0, 0.0, 5.0, 10.0, 0.0, 0.0, 0.0, 13.0, 2.0, 0.0, 2.0, 13.0, 0.0, 0.0, 0.0, 7.0, 9.0, 0.0, 7.0, 11.0, 0.0, 0.0, 0.0, 0.0, 11.0, 13.0, 16.0, 2.0, 0.0], [0.0, 0.0, 0.0, 1.0, 13.0, 13.0, 0.0, 0.0, 0.0, 0.0, 4.0, 15.0, 15.0, 16.0, 0.0, 0.0, 0.0, 8.0, 16.0, 10.0, 6.0, 14.0, 0.0, 0.0, 0.0, 10.0, 6.0, 0.0, 8.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 7.0, 0.0, 0.0], [0.0, 0.0, 2.0, 12.0, 16.0, 10.0, 0.0, 0.0, 0.0, 2.0, 15.0, 10.0, 6.0, 15.0, 0.0, 0.0, 0.0, 2.0, 7.0, 1.0, 4.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 16.0, 15.0, 10.0, 5.0, 0.0, 0.0, 0.0, 1.0, 8.0, 8.0, 11.0, 16.0, 6.0], [0.0, 4.0, 14.0, 16.0, 16.0, 15.0, 2.0, 0.0, 0.0, 12.0, 11.0, 2.0, 4.0, 16.0, 5.0, 0.0, 0.0, 2.0, 0.0, 1.0, 11.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 15.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 14.0, 10.0, 0.0, 0.0, 1.0, 7.0, 0.0, 3.0, 14.0, 8.0, 0.0, 0.0, 4.0, 15.0, 16.0, 16.0, 11.0, 0.0, 0.0], [0.0, 0.0, 0.0, 2.0, 15.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 10.0, 0.0, 3.0, 8.0, 0.0, 0.0, 5.0, 16.0, 1.0, 2.0, 15.0, 5.0, 0.0, 0.0, 9.0, 13.0, 7.0, 14.0, 16.0, 2.0, 0.0, 0.0, 5.0, 15.0, 14.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 5.0, 0.0, 0.0], [0.0, 0.0, 12.0, 16.0, 16.0, 16.0, 7.0, 0.0, 0.0, 1.0, 14.0, 15.0, 6.0, 4.0, 1.0, 0.0, 0.0, 8.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 12.0, 12.0, 9.0, 1.0, 0.0, 0.0, 1.0, 8.0, 8.0, 8.0, 15.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 12.0, 0.0, 0.0, 0.0, 8.0, 2.0, 6.0, 16.0, 5.0, 0.0, 0.0, 1.0, 11.0, 16.0, 16.0, 8.0, 0.0, 0.0], [0.0, 0.0, 0.0, 11.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 16.0, 14.0, 11.0, 0.0, 0.0, 0.0, 9.0, 16.0, 3.0, 5.0, 16.0, 4.0, 0.0, 0.0, 6.0, 15.0, 5.0, 14.0, 16.0, 2.0, 0.0, 0.0, 1.0, 11.0, 16.0, 15.0, 4.0, 0.0], [0.0, 3.0, 15.0, 16.0, 15.0, 3.0, 0.0, 0.0, 0.0, 3.0, 10.0, 8.0, 15.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 8.0, 0.0, 0.0, 0.0, 0.0, 11.0, 13.0, 16.0, 16.0, 8.0, 0.0, 0.0, 1.0, 15.0, 16.0, 15.0, 7.0, 2.0, 0.0, 0.0, 0.0, 5.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 4.0, 15.0, 13.0, 3.0, 0.0, 0.0, 0.0, 4.0, 13.0, 14.0, 10.0, 13.0, 0.0, 0.0, 0.0, 8.0, 16.0, 8.0, 8.0, 13.0, 0.0, 0.0, 0.0, 0.0, 15.0, 12.0, 15.0, 11.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 13.0, 1.0, 0.0, 0.0, 0.0, 0.0, 11.0, 15.0, 15.0, 2.0, 0.0, 0.0, 0.0, 0.0, 12.0, 8.0, 15.0, 8.0, 0.0, 0.0, 0.0, 0.0, 5.0, 15.0, 16.0, 5.0, 0.0, 0.0], [0.0, 0.0, 13.0, 13.0, 1.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 13.0, 12.0, 13.0, 0.0, 0.0, 0.0, 8.0, 13.0, 1.0, 15.0, 16.0, 4.0, 0.0, 0.0, 4.0, 15.0, 13.0, 15.0, 15.0, 10.0, 0.0, 0.0, 0.0, 6.0, 11.0, 3.0, 9.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 0.0, 0.0, 1.0, 7.0, 0.0, 1.0, 9.0, 15.0, 1.0, 0.0, 1.0, 13.0, 16.0, 16.0, 16.0, 6.0, 0.0], [0.0, 0.0, 0.0, 14.0, 12.0, 1.0, 0.0, 0.0, 0.0, 0.0, 4.0, 15.0, 7.0, 10.0, 0.0, 0.0, 0.0, 2.0, 16.0, 15.0, 5.0, 12.0, 2.0, 0.0, 0.0, 7.0, 16.0, 0.0, 0.0, 11.0, 5.0, 0.0, 0.0, 5.0, 12.0, 0.0, 0.0, 12.0, 4.0, 0.0, 0.0, 1.0, 15.0, 0.0, 0.0, 14.0, 2.0, 0.0, 0.0, 0.0, 9.0, 6.0, 7.0, 15.0, 0.0, 0.0, 0.0, 0.0, 1.0, 13.0, 16.0, 8.0, 0.0, 0.0], [0.0, 0.0, 0.0, 11.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 16.0, 5.0, 0.0, 0.0, 0.0, 6.0, 16.0, 15.0, 16.0, 3.0, 0.0, 0.0, 0.0, 11.0, 11.0, 10.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 2.0, 0.0, 0.0], [0.0, 0.0, 6.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 13.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 2.0, 12.0, 10.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 7.0, 0.0, 0.0, 0.0, 0.0, 1.0, 10.0, 16.0, 10.0, 8.0, 3.0, 0.0, 0.0, 4.0, 16.0, 16.0, 15.0, 16.0, 16.0], [0.0, 0.0, 9.0, 16.0, 16.0, 12.0, 2.0, 0.0, 0.0, 3.0, 13.0, 5.0, 4.0, 14.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 15.0, 2.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 8.0, 0.0, 0.0, 0.0, 4.0, 5.0, 5.0, 15.0, 4.0, 0.0, 0.0, 0.0, 12.0, 16.0, 15.0, 5.0, 0.0, 0.0], [0.0, 0.0, 0.0, 2.0, 14.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 6.0, 0.0, 5.0, 11.0, 0.0, 0.0, 3.0, 15.0, 0.0, 0.0, 10.0, 9.0, 0.0, 0.0, 9.0, 13.0, 4.0, 7.0, 16.0, 3.0, 0.0, 0.0, 7.0, 16.0, 16.0, 16.0, 13.0, 0.0, 0.0, 0.0, 0.0, 3.0, 2.0, 16.0, 6.0, 0.0, 0.0], [0.0, 5.0, 16.0, 16.0, 16.0, 16.0, 10.0, 0.0, 0.0, 4.0, 10.0, 4.0, 4.0, 4.0, 0.0, 0.0, 0.0, 10.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 13.0, 7.0, 1.0, 0.0, 0.0, 0.0, 0.0, 2.0, 8.0, 14.0, 14.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 7.0, 0.0, 0.0, 3.0, 3.0, 2.0, 11.0, 15.0, 0.0, 0.0, 0.0, 5.0, 16.0, 16.0, 12.0, 1.0, 0.0, 0.0], [0.0, 0.0, 0.0, 12.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 16.0, 15.0, 5.0, 0.0, 0.0, 0.0, 8.0, 16.0, 0.0, 6.0, 15.0, 1.0, 0.0, 0.0, 7.0, 16.0, 4.0, 10.0, 16.0, 3.0, 0.0, 0.0, 1.0, 11.0, 16.0, 16.0, 12.0, 0.0], [0.0, 0.0, 5.0, 13.0, 16.0, 14.0, 0.0, 0.0, 0.0, 1.0, 14.0, 8.0, 5.0, 16.0, 2.0, 0.0, 0.0, 0.0, 1.0, 0.0, 2.0, 15.0, 2.0, 0.0, 0.0, 0.0, 0.0, 2.0, 8.0, 15.0, 3.0, 0.0, 0.0, 0.0, 0.0, 15.0, 16.0, 13.0, 8.0, 0.0, 0.0, 0.0, 0.0, 6.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 14.0, 0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 4.0, 16.0, 14.0, 3.0, 0.0, 0.0, 2.0, 14.0, 16.0, 12.0, 10.0, 11.0, 0.0, 0.0, 0.0, 13.0, 12.0, 9.0, 15.0, 10.0, 0.0, 0.0, 0.0, 3.0, 14.0, 14.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 15.0, 14.0, 1.0, 0.0, 0.0, 0.0, 0.0, 12.0, 12.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 4.0, 15.0, 16.0, 3.0, 0.0, 0.0], [0.0, 0.0, 8.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 6.0, 12.0, 2.0, 14.0, 13.0, 0.0, 0.0, 0.0, 9.0, 6.0, 1.0, 14.0, 14.0, 0.0, 0.0, 0.0, 2.0, 11.0, 12.0, 8.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 9.0, 0.0, 0.0, 0.0, 2.0, 0.0, 1.0, 12.0, 6.0, 0.0, 0.0, 0.0, 8.0, 9.0, 13.0, 7.0, 0.0, 0.0], [0.0, 0.0, 0.0, 16.0, 11.0, 1.0, 0.0, 0.0, 0.0, 0.0, 13.0, 16.0, 10.0, 9.0, 0.0, 0.0, 0.0, 2.0, 16.0, 11.0, 1.0, 14.0, 2.0, 0.0, 0.0, 3.0, 16.0, 1.0, 0.0, 8.0, 7.0, 0.0, 0.0, 4.0, 13.0, 0.0, 0.0, 8.0, 9.0, 0.0, 0.0, 3.0, 16.0, 1.0, 0.0, 10.0, 9.0, 0.0, 0.0, 0.0, 10.0, 8.0, 3.0, 16.0, 4.0, 0.0, 0.0, 0.0, 1.0, 11.0, 16.0, 13.0, 1.0, 0.0], [0.0, 0.0, 0.0, 0.0, 5.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 8.0, 15.0, 16.0, 3.0, 0.0, 0.0, 2.0, 13.0, 15.0, 5.0, 16.0, 0.0, 0.0, 0.0, 8.0, 14.0, 2.0, 3.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 1.0, 0.0], [0.0, 0.0, 4.0, 16.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 12.0, 11.0, 7.0, 11.0, 0.0, 0.0, 0.0, 0.0, 9.0, 2.0, 5.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 1.0, 15.0, 15.0, 10.0, 1.0, 0.0, 0.0, 0.0, 5.0, 16.0, 8.0, 11.0, 11.0, 0.0], [0.0, 1.0, 13.0, 16.0, 16.0, 8.0, 0.0, 0.0, 0.0, 11.0, 13.0, 4.0, 13.0, 7.0, 0.0, 0.0, 0.0, 7.0, 1.0, 7.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 15.0, 9.0, 0.0, 0.0, 0.0, 0.0, 3.0, 6.0, 8.0, 15.0, 8.0, 0.0, 0.0, 0.0, 6.0, 1.0, 0.0, 7.0, 13.0, 0.0, 0.0, 4.0, 16.0, 5.0, 2.0, 13.0, 10.0, 0.0, 0.0, 1.0, 12.0, 16.0, 16.0, 11.0, 1.0, 0.0], [0.0, 0.0, 0.0, 1.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 14.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 12.0, 0.0, 3.0, 9.0, 0.0, 0.0, 0.0, 14.0, 2.0, 0.0, 10.0, 7.0, 0.0, 0.0, 6.0, 13.0, 5.0, 11.0, 14.0, 1.0, 0.0, 0.0, 11.0, 16.0, 16.0, 16.0, 9.0, 0.0, 0.0, 0.0, 1.0, 2.0, 1.0, 14.0, 1.0, 0.0, 0.0], [0.0, 0.0, 6.0, 15.0, 16.0, 16.0, 3.0, 0.0, 0.0, 0.0, 14.0, 16.0, 6.0, 6.0, 1.0, 0.0, 0.0, 3.0, 14.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 15.0, 8.0, 4.0, 0.0, 0.0, 0.0, 0.0, 1.0, 10.0, 12.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 13.0, 14.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 14.0, 3.0, 0.0, 0.0], [0.0, 0.0, 2.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 13.0, 12.0, 11.0, 2.0, 0.0, 0.0, 0.0, 14.0, 16.0, 14.0, 10.0, 14.0, 0.0, 0.0, 0.0, 13.0, 7.0, 3.0, 0.0, 14.0, 6.0, 0.0, 0.0, 10.0, 14.0, 4.0, 8.0, 16.0, 7.0, 0.0, 0.0, 2.0, 14.0, 16.0, 15.0, 8.0, 0.0], [0.0, 0.0, 9.0, 13.0, 16.0, 16.0, 4.0, 0.0, 0.0, 2.0, 12.0, 5.0, 4.0, 14.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 13.0, 12.0, 5.0, 0.0, 0.0, 0.0, 0.0, 13.0, 14.0, 12.0, 8.0, 0.0, 0.0, 0.0, 0.0, 13.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 14.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 7.0, 0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 6.0, 8.0, 15.0, 13.0, 1.0, 0.0, 0.0, 1.0, 16.0, 16.0, 11.0, 15.0, 4.0, 0.0, 0.0, 0.0, 15.0, 9.0, 8.0, 15.0, 2.0, 0.0, 0.0, 0.0, 10.0, 16.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 13.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 4.0, 15.0, 10.0, 12.0, 0.0, 0.0, 0.0, 0.0, 2.0, 15.0, 5.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 10.0, 0.0, 0.0, 0.0], [0.0, 1.0, 9.0, 14.0, 8.0, 0.0, 0.0, 0.0, 0.0, 8.0, 11.0, 3.0, 7.0, 11.0, 1.0, 0.0, 0.0, 12.0, 7.0, 0.0, 3.0, 16.0, 4.0, 0.0, 0.0, 3.0, 13.0, 12.0, 14.0, 14.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 1.0, 0.0, 0.0, 0.0, 8.0, 13.0, 14.0, 5.0, 0.0, 0.0], [0.0, 0.0, 9.0, 16.0, 11.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 13.0, 15.0, 7.0, 0.0, 0.0, 0.0, 7.0, 16.0, 6.0, 4.0, 16.0, 3.0, 0.0, 0.0, 9.0, 14.0, 0.0, 0.0, 11.0, 10.0, 0.0, 0.0, 8.0, 13.0, 0.0, 0.0, 7.0, 13.0, 0.0, 0.0, 7.0, 13.0, 0.0, 0.0, 7.0, 16.0, 0.0, 0.0, 3.0, 16.0, 7.0, 7.0, 15.0, 6.0, 0.0, 0.0, 0.0, 9.0, 16.0, 16.0, 10.0, 0.0, 0.0], [0.0, 0.0, 6.0, 14.0, 7.0, 6.0, 0.0, 0.0, 0.0, 1.0, 14.0, 6.0, 13.0, 16.0, 1.0, 0.0, 0.0, 5.0, 12.0, 0.0, 9.0, 16.0, 3.0, 0.0, 0.0, 1.0, 15.0, 14.0, 13.0, 11.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 8.0, 0.0, 0.0, 1.0, 14.0, 2.0, 1.0, 12.0, 1.0, 0.0, 0.0, 0.0, 4.0, 13.0, 15.0, 5.0, 0.0, 0.0], [0.0, 2.0, 16.0, 16.0, 16.0, 16.0, 3.0, 0.0, 0.0, 1.0, 16.0, 13.0, 6.0, 4.0, 0.0, 0.0, 0.0, 9.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 13.0, 7.0, 0.0, 0.0, 0.0, 0.0, 3.0, 11.0, 13.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 1.0, 0.0, 0.0, 2.0, 11.0, 5.0, 12.0, 14.0, 0.0, 0.0, 0.0, 3.0, 16.0, 16.0, 16.0, 5.0, 0.0, 0.0], [0.0, 0.0, 8.0, 16.0, 16.0, 9.0, 0.0, 0.0, 0.0, 1.0, 16.0, 15.0, 11.0, 8.0, 0.0, 0.0, 0.0, 1.0, 14.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 10.0, 6.0, 0.0, 0.0, 0.0, 0.0, 2.0, 12.0, 16.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 7.0, 15.0, 0.0, 0.0, 0.0, 0.0, 11.0, 5.0, 13.0, 13.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 16.0, 6.0, 0.0, 0.0], [0.0, 0.0, 0.0, 16.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 15.0, 11.0, 5.0, 0.0, 0.0, 0.0, 0.0, 14.0, 15.0, 12.0, 15.0, 11.0, 0.0, 0.0, 0.0, 12.0, 13.0, 0.0, 0.0, 16.0, 5.0, 0.0, 0.0, 6.0, 15.0, 4.0, 11.0, 16.0, 4.0, 0.0, 0.0, 0.0, 13.0, 16.0, 14.0, 9.0, 0.0], [0.0, 1.0, 14.0, 16.0, 16.0, 14.0, 1.0, 0.0, 0.0, 0.0, 10.0, 13.0, 6.0, 4.0, 0.0, 0.0, 0.0, 3.0, 15.0, 11.0, 3.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 16.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 10.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 11.0, 0.0, 0.0, 0.0, 0.0, 7.0, 12.0, 16.0, 5.0, 0.0, 0.0, 0.0, 2.0, 15.0, 15.0, 5.0, 0.0, 0.0, 0.0], [0.0, 0.0, 2.0, 14.0, 13.0, 2.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 15.0, 13.0, 0.0, 0.0, 0.0, 0.0, 13.0, 13.0, 1.0, 16.0, 3.0, 0.0, 0.0, 0.0, 12.0, 13.0, 0.0, 15.0, 6.0, 0.0, 0.0, 1.0, 16.0, 7.0, 1.0, 16.0, 4.0, 0.0, 0.0, 1.0, 16.0, 5.0, 8.0, 16.0, 1.0, 0.0, 0.0, 0.0, 15.0, 13.0, 15.0, 13.0, 0.0, 0.0, 0.0, 0.0, 3.0, 15.0, 15.0, 2.0, 0.0, 0.0], [0.0, 0.0, 3.0, 13.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 11.0, 15.0, 8.0, 0.0, 0.0, 0.0, 0.0, 15.0, 1.0, 14.0, 16.0, 1.0, 0.0, 0.0, 0.0, 11.0, 13.0, 12.0, 13.0, 5.0, 0.0, 0.0, 0.0, 3.0, 8.0, 1.0, 8.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 6.0, 0.0, 0.0, 0.0, 9.0, 4.0, 3.0, 16.0, 2.0, 0.0, 0.0, 0.0, 4.0, 14.0, 14.0, 7.0, 0.0, 0.0], [0.0, 0.0, 7.0, 10.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 15.0, 16.0, 13.0, 15.0, 1.0, 0.0, 0.0, 0.0, 10.0, 13.0, 10.0, 16.0, 2.0, 0.0, 0.0, 0.0, 1.0, 16.0, 16.0, 11.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 15.0, 8.0, 14.0, 7.0, 0.0, 0.0, 0.0, 0.0, 16.0, 7.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 14.0, 0.0, 0.0, 0.0], [0.0, 0.0, 3.0, 12.0, 12.0, 1.0, 0.0, 0.0, 0.0, 3.0, 13.0, 6.0, 9.0, 12.0, 0.0, 0.0, 0.0, 9.0, 5.0, 0.0, 2.0, 15.0, 0.0, 0.0, 0.0, 7.0, 9.0, 4.0, 12.0, 16.0, 1.0, 0.0, 0.0, 0.0, 9.0, 11.0, 3.0, 10.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 3.0, 0.0, 0.0, 0.0, 10.0, 2.0, 1.0, 13.0, 0.0, 0.0, 0.0, 0.0, 3.0, 13.0, 16.0, 4.0, 0.0, 0.0], [0.0, 0.0, 3.0, 15.0, 13.0, 2.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 12.0, 13.0, 0.0, 0.0, 0.0, 0.0, 13.0, 13.0, 9.0, 14.0, 0.0, 0.0, 0.0, 0.0, 6.0, 15.0, 15.0, 11.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 14.0, 1.0, 0.0, 0.0, 0.0, 0.0, 11.0, 14.0, 15.0, 5.0, 0.0, 0.0, 0.0, 0.0, 9.0, 10.0, 14.0, 9.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 15.0, 2.0, 0.0, 0.0], [0.0, 0.0, 0.0, 2.0, 15.0, 8.0, 0.0, 0.0, 0.0, 0.0, 1.0, 15.0, 13.0, 3.0, 0.0, 0.0, 0.0, 0.0, 9.0, 13.0, 1.0, 0.0, 0.0, 0.0, 0.0, 1.0, 15.0, 6.0, 0.0, 5.0, 11.0, 0.0, 0.0, 7.0, 14.0, 0.0, 1.0, 15.0, 8.0, 0.0, 0.0, 8.0, 15.0, 9.0, 15.0, 16.0, 3.0, 0.0, 0.0, 1.0, 11.0, 16.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 15.0, 5.0, 0.0, 0.0], [0.0, 0.0, 0.0, 16.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 15.0, 1.0, 0.0, 0.0], [0.0, 0.0, 3.0, 11.0, 16.0, 15.0, 2.0, 0.0, 0.0, 4.0, 16.0, 10.0, 4.0, 16.0, 4.0, 0.0, 0.0, 7.0, 6.0, 0.0, 5.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 6.0, 15.0, 6.0, 1.0, 0.0, 0.0, 0.0, 0.0, 13.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 15.0, 2.0, 0.0, 0.0, 0.0], [0.0, 0.0, 6.0, 16.0, 16.0, 6.0, 0.0, 0.0, 0.0, 5.0, 13.0, 5.0, 7.0, 13.0, 0.0, 0.0, 0.0, 1.0, 1.0, 0.0, 5.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 14.0, 14.0, 8.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 8.0, 2.0, 0.0, 0.0, 0.0, 0.0, 8.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 14.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 12.0, 0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 9.0, 16.0, 16.0, 12.0, 0.0, 0.0, 0.0, 2.0, 16.0, 8.0, 9.0, 16.0, 0.0, 0.0, 0.0, 1.0, 8.0, 0.0, 13.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 14.0, 15.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 14.0, 0.0, 0.0, 0.0, 9.0, 6.0, 0.0, 11.0, 15.0, 0.0, 0.0, 0.0, 8.0, 16.0, 16.0, 16.0, 6.0, 0.0], [0.0, 0.0, 9.0, 16.0, 16.0, 16.0, 7.0, 0.0, 0.0, 3.0, 16.0, 11.0, 4.0, 4.0, 1.0, 0.0, 0.0, 6.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 9.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 10.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 2.0, 0.0, 8.0, 14.0, 0.0, 0.0, 0.0, 0.0, 13.0, 7.0, 8.0, 14.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 16.0, 4.0, 0.0, 0.0], [0.0, 0.0, 0.0, 14.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 14.0, 16.0, 4.0, 0.0, 0.0], [0.0, 0.0, 1.0, 13.0, 14.0, 1.0, 0.0, 0.0, 0.0, 1.0, 11.0, 16.0, 10.0, 12.0, 0.0, 0.0, 0.0, 6.0, 16.0, 15.0, 0.0, 13.0, 3.0, 0.0, 0.0, 7.0, 14.0, 5.0, 0.0, 8.0, 9.0, 0.0, 0.0, 6.0, 13.0, 0.0, 0.0, 8.0, 11.0, 0.0, 0.0, 4.0, 15.0, 0.0, 1.0, 14.0, 9.0, 0.0, 0.0, 0.0, 14.0, 8.0, 12.0, 16.0, 3.0, 0.0, 0.0, 0.0, 3.0, 15.0, 15.0, 4.0, 0.0, 0.0], [0.0, 0.0, 2.0, 14.0, 13.0, 1.0, 0.0, 0.0, 0.0, 0.0, 14.0, 16.0, 13.0, 11.0, 0.0, 0.0, 0.0, 4.0, 16.0, 11.0, 1.0, 13.0, 3.0, 0.0, 0.0, 5.0, 16.0, 3.0, 0.0, 10.0, 9.0, 0.0, 0.0, 6.0, 13.0, 0.0, 0.0, 9.0, 11.0, 0.0, 0.0, 2.0, 15.0, 0.0, 1.0, 15.0, 8.0, 0.0, 0.0, 0.0, 11.0, 12.0, 15.0, 15.0, 1.0, 0.0, 0.0, 0.0, 2.0, 13.0, 16.0, 5.0, 0.0, 0.0], [0.0, 0.0, 10.0, 16.0, 16.0, 10.0, 0.0, 0.0, 0.0, 4.0, 16.0, 6.0, 1.0, 16.0, 2.0, 0.0, 0.0, 0.0, 10.0, 0.0, 1.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 15.0, 4.0, 0.0, 0.0, 0.0, 0.0, 2.0, 13.0, 16.0, 12.0, 8.0, 0.0, 0.0, 0.0, 13.0, 15.0, 11.0, 8.0, 14.0, 7.0], [0.0, 0.0, 10.0, 16.0, 14.0, 6.0, 0.0, 0.0, 0.0, 0.0, 16.0, 8.0, 6.0, 16.0, 3.0, 0.0, 0.0, 0.0, 9.0, 5.0, 0.0, 13.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 11.0, 0.0, 0.0, 0.0, 0.0, 2.0, 9.0, 16.0, 10.0, 6.0, 1.0, 0.0, 0.0, 12.0, 16.0, 14.0, 13.0, 16.0, 8.0], [0.0, 0.0, 7.0, 15.0, 16.0, 15.0, 0.0, 0.0, 0.0, 2.0, 15.0, 2.0, 5.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 14.0, 11.0, 2.0, 0.0, 0.0, 0.0, 6.0, 16.0, 16.0, 16.0, 8.0, 0.0, 0.0, 0.0, 5.0, 13.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 12.0, 0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 6.0, 14.0, 16.0, 6.0, 0.0, 0.0, 0.0, 6.0, 16.0, 16.0, 8.0, 15.0, 0.0, 0.0, 0.0, 7.0, 14.0, 14.0, 12.0, 14.0, 0.0, 0.0, 0.0, 0.0, 13.0, 10.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 13.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 15.0, 5.0, 15.0, 4.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 15.0, 1.0, 0.0, 0.0], [0.0, 0.0, 10.0, 16.0, 13.0, 3.0, 0.0, 0.0, 0.0, 0.0, 6.0, 15.0, 12.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 6.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 8.0, 0.0, 0.0, 0.0, 0.0, 4.0, 15.0, 16.0, 13.0, 8.0, 5.0, 0.0, 0.0, 6.0, 16.0, 10.0, 9.0, 12.0, 15.0], [0.0, 0.0, 10.0, 16.0, 14.0, 2.0, 0.0, 0.0, 0.0, 3.0, 16.0, 9.0, 8.0, 14.0, 0.0, 0.0, 0.0, 5.0, 16.0, 3.0, 2.0, 15.0, 6.0, 0.0, 0.0, 5.0, 16.0, 3.0, 0.0, 12.0, 10.0, 0.0, 0.0, 7.0, 14.0, 0.0, 0.0, 12.0, 11.0, 0.0, 0.0, 7.0, 16.0, 1.0, 3.0, 16.0, 5.0, 0.0, 0.0, 4.0, 16.0, 7.0, 12.0, 11.0, 1.0, 0.0, 0.0, 0.0, 10.0, 16.0, 14.0, 3.0, 0.0, 0.0], [0.0, 0.0, 0.0, 1.0, 15.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 16.0, 13.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 16.0, 13.0, 0.0, 0.0, 0.0, 11.0, 16.0, 11.0, 13.0, 13.0, 0.0, 0.0, 0.0, 3.0, 7.0, 0.0, 12.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 15.0, 13.0, 0.0, 0.0], [0.0, 0.0, 11.0, 16.0, 16.0, 7.0, 0.0, 0.0, 0.0, 2.0, 16.0, 10.0, 11.0, 15.0, 0.0, 0.0, 0.0, 0.0, 15.0, 4.0, 4.0, 16.0, 3.0, 0.0, 0.0, 0.0, 3.0, 3.0, 5.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 2.0, 12.0, 15.0, 6.0, 4.0, 1.0, 0.0, 0.0, 10.0, 16.0, 16.0, 16.0, 16.0, 10.0], [0.0, 0.0, 0.0, 14.0, 14.0, 1.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 16.0, 8.0, 3.0, 0.0, 0.0, 0.0, 3.0, 16.0, 15.0, 8.0, 14.0, 2.0, 0.0, 0.0, 0.0, 16.0, 11.0, 0.0, 11.0, 10.0, 0.0, 0.0, 0.0, 9.0, 14.0, 7.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 12.0, 16.0, 14.0, 1.0, 0.0], [0.0, 0.0, 8.0, 16.0, 16.0, 12.0, 0.0, 0.0, 0.0, 0.0, 14.0, 12.0, 10.0, 14.0, 0.0, 0.0, 0.0, 0.0, 3.0, 3.0, 10.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 4.0, 0.0, 7.0, 14.0, 0.0, 0.0, 0.0, 2.0, 16.0, 5.0, 10.0, 16.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 16.0, 7.0, 0.0, 0.0], [0.0, 0.0, 7.0, 16.0, 16.0, 14.0, 0.0, 0.0, 0.0, 0.0, 16.0, 12.0, 10.0, 15.0, 1.0, 0.0, 0.0, 0.0, 10.0, 4.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 11.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 7.0, 0.0, 0.0, 0.0, 8.0, 4.0, 10.0, 15.0, 2.0, 0.0, 0.0, 0.0, 12.0, 16.0, 16.0, 6.0, 0.0, 0.0], [0.0, 0.0, 12.0, 16.0, 16.0, 5.0, 0.0, 0.0, 0.0, 3.0, 13.0, 8.0, 14.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 16.0, 0.0, 0.0, 0.0, 6.0, 16.0, 16.0, 16.0, 16.0, 13.0, 0.0, 0.0, 6.0, 9.0, 11.0, 16.0, 9.0, 5.0, 0.0, 0.0, 0.0, 0.0, 14.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 10.0, 0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 5.0, 15.0, 16.0, 15.0, 1.0, 0.0, 0.0, 10.0, 16.0, 11.0, 8.0, 16.0, 5.0, 0.0, 0.0, 12.0, 10.0, 1.0, 10.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 11.0, 1.0, 0.0, 0.0, 0.0, 0.0, 1.0, 10.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 2.0, 0.0, 7.0, 16.0, 0.0, 0.0, 0.0, 8.0, 13.0, 5.0, 15.0, 12.0, 0.0, 0.0, 0.0, 5.0, 15.0, 16.0, 14.0, 3.0, 0.0], [0.0, 0.0, 10.0, 16.0, 16.0, 10.0, 1.0, 0.0, 0.0, 4.0, 16.0, 11.0, 11.0, 16.0, 3.0, 0.0, 0.0, 1.0, 9.0, 1.0, 10.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 15.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 0.0, 0.0, 2.0, 12.0, 7.0, 4.0, 14.0, 15.0, 1.0, 0.0, 0.0, 11.0, 16.0, 16.0, 15.0, 4.0, 0.0], [0.0, 0.0, 0.0, 1.0, 13.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 14.0, 1.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 11.0, 0.0, 3.0, 8.0, 0.0, 0.0, 6.0, 15.0, 2.0, 0.0, 14.0, 7.0, 0.0, 0.0, 8.0, 16.0, 12.0, 13.0, 16.0, 4.0, 0.0, 0.0, 3.0, 11.0, 11.0, 15.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 9.0, 0.0, 0.0], [0.0, 0.0, 0.0, 14.0, 14.0, 1.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 10.0, 2.0, 0.0, 0.0, 0.0, 0.0, 14.0, 14.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 16.0, 14.0, 4.0, 0.0, 0.0, 0.0, 1.0, 16.0, 16.0, 8.0, 16.0, 2.0, 0.0, 0.0, 0.0, 14.0, 11.0, 0.0, 13.0, 9.0, 0.0, 0.0, 0.0, 9.0, 14.0, 6.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 14.0, 16.0, 14.0, 0.0, 0.0], [0.0, 0.0, 0.0, 14.0, 14.0, 1.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 16.0, 16.0, 9.0, 0.0, 0.0, 0.0, 1.0, 16.0, 15.0, 8.0, 14.0, 9.0, 0.0, 0.0, 0.0, 14.0, 12.0, 0.0, 12.0, 13.0, 0.0, 0.0, 0.0, 6.0, 14.0, 7.0, 16.0, 10.0, 0.0, 0.0, 0.0, 1.0, 13.0, 16.0, 13.0, 1.0, 0.0], [0.0, 0.0, 0.0, 12.0, 14.0, 1.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 15.0, 9.0, 2.0, 0.0, 0.0, 0.0, 1.0, 16.0, 15.0, 16.0, 15.0, 2.0, 0.0, 0.0, 0.0, 15.0, 7.0, 1.0, 12.0, 10.0, 0.0, 0.0, 0.0, 10.0, 14.0, 4.0, 15.0, 12.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 15.0, 5.0, 0.0], [0.0, 0.0, 0.0, 4.0, 14.0, 2.0, 0.0, 0.0, 0.0, 0.0, 1.0, 15.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 14.0, 0.0, 2.0, 8.0, 0.0, 0.0, 1.0, 15.0, 5.0, 0.0, 10.0, 11.0, 0.0, 0.0, 6.0, 14.0, 1.0, 6.0, 16.0, 5.0, 0.0, 0.0, 12.0, 16.0, 16.0, 16.0, 14.0, 2.0, 0.0, 0.0, 3.0, 12.0, 13.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 10.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 12.0, 14.0, 5.0, 0.0, 0.0, 0.0, 0.0, 6.0, 11.0, 4.0, 15.0, 0.0, 0.0, 0.0, 0.0, 8.0, 9.0, 8.0, 16.0, 3.0, 0.0, 0.0, 0.0, 3.0, 14.0, 13.0, 13.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 8.0, 0.0, 0.0, 0.0, 13.0, 6.0, 1.0, 7.0, 9.0, 0.0, 0.0, 0.0, 1.0, 10.0, 14.0, 15.0, 2.0, 0.0], [0.0, 0.0, 1.0, 15.0, 15.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 14.0, 16.0, 7.0, 0.0, 0.0], [0.0, 0.0, 7.0, 16.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 14.0, 13.0, 7.0, 4.0, 0.0, 0.0, 0.0, 5.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 15.0, 8.0, 6.0, 1.0, 0.0, 0.0, 0.0, 4.0, 12.0, 12.0, 16.0, 13.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 15.0, 6.0, 0.0, 0.0, 0.0, 5.0, 6.0, 6.0, 16.0, 4.0, 0.0, 0.0, 0.0, 7.0, 16.0, 16.0, 11.0, 1.0, 0.0], [0.0, 0.0, 1.0, 12.0, 12.0, 3.0, 0.0, 0.0, 0.0, 0.0, 9.0, 13.0, 5.0, 14.0, 0.0, 0.0, 0.0, 0.0, 15.0, 3.0, 0.0, 10.0, 2.0, 0.0, 0.0, 3.0, 16.0, 4.0, 0.0, 9.0, 4.0, 0.0, 0.0, 4.0, 13.0, 0.0, 0.0, 9.0, 2.0, 0.0, 0.0, 3.0, 13.0, 0.0, 1.0, 15.0, 0.0, 0.0, 0.0, 0.0, 13.0, 6.0, 8.0, 9.0, 0.0, 0.0, 0.0, 0.0, 2.0, 14.0, 12.0, 2.0, 0.0, 0.0], [0.0, 0.0, 8.0, 16.0, 6.0, 3.0, 0.0, 0.0, 0.0, 2.0, 13.0, 5.0, 10.0, 14.0, 0.0, 0.0, 0.0, 4.0, 14.0, 1.0, 9.0, 16.0, 0.0, 0.0, 0.0, 0.0, 12.0, 13.0, 8.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 0.0, 11.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 2.0, 0.0, 0.0, 0.0, 4.0, 1.0, 0.0, 14.0, 1.0, 0.0, 0.0, 0.0, 6.0, 15.0, 16.0, 10.0, 0.0, 0.0], [0.0, 0.0, 4.0, 9.0, 13.0, 13.0, 0.0, 0.0, 0.0, 1.0, 13.0, 15.0, 6.0, 2.0, 0.0, 0.0, 0.0, 0.0, 9.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 3.0, 4.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 16.0, 16.0, 8.0, 0.0, 0.0, 0.0, 2.0, 11.0, 3.0, 0.0, 10.0, 4.0, 0.0, 0.0, 0.0, 2.0, 5.0, 4.0, 15.0, 1.0, 0.0, 0.0, 0.0, 3.0, 12.0, 14.0, 8.0, 0.0, 0.0], [0.0, 1.0, 13.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 8.0, 15.0, 8.0, 15.0, 5.0, 0.0, 0.0, 0.0, 11.0, 9.0, 0.0, 12.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 16.0, 16.0, 10.0, 1.0, 0.0, 1.0, 16.0, 14.0, 10.0, 8.0, 11.0, 1.0], [0.0, 0.0, 2.0, 16.0, 14.0, 2.0, 0.0, 0.0, 0.0, 1.0, 12.0, 16.0, 16.0, 10.0, 0.0, 0.0, 0.0, 4.0, 16.0, 12.0, 12.0, 12.0, 0.0, 0.0, 0.0, 1.0, 15.0, 11.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 14.0, 14.0, 8.0, 0.0, 0.0, 0.0, 0.0, 10.0, 12.0, 6.0, 15.0, 0.0, 0.0, 0.0, 0.0, 2.0, 13.0, 16.0, 12.0, 0.0, 0.0], [0.0, 0.0, 7.0, 16.0, 14.0, 3.0, 0.0, 0.0, 0.0, 0.0, 9.0, 14.0, 11.0, 15.0, 0.0, 0.0, 0.0, 0.0, 1.0, 5.0, 0.0, 15.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 1.0, 12.0, 14.0, 1.0, 0.0, 0.0, 0.0, 5.0, 12.0, 16.0, 16.0, 14.0, 1.0, 0.0, 0.0, 8.0, 16.0, 14.0, 10.0, 13.0, 3.0], [0.0, 0.0, 5.0, 13.0, 11.0, 1.0, 0.0, 0.0, 0.0, 3.0, 16.0, 11.0, 8.0, 12.0, 0.0, 0.0, 0.0, 5.0, 16.0, 0.0, 0.0, 13.0, 3.0, 0.0, 0.0, 5.0, 13.0, 0.0, 0.0, 6.0, 7.0, 0.0, 0.0, 7.0, 10.0, 0.0, 0.0, 8.0, 7.0, 0.0, 0.0, 4.0, 13.0, 0.0, 1.0, 14.0, 5.0, 0.0, 0.0, 1.0, 15.0, 5.0, 12.0, 10.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 10.0, 1.0, 0.0, 0.0], [0.0, 0.0, 4.0, 15.0, 13.0, 2.0, 0.0, 0.0, 0.0, 4.0, 16.0, 15.0, 7.0, 11.0, 0.0, 0.0, 0.0, 8.0, 14.0, 14.0, 0.0, 14.0, 2.0, 0.0, 0.0, 7.0, 9.0, 12.0, 4.0, 8.0, 7.0, 0.0, 0.0, 6.0, 11.0, 0.0, 0.0, 7.0, 9.0, 0.0, 0.0, 2.0, 15.0, 1.0, 0.0, 10.0, 8.0, 0.0, 0.0, 0.0, 11.0, 8.0, 4.0, 15.0, 4.0, 0.0, 0.0, 0.0, 2.0, 14.0, 16.0, 10.0, 0.0, 0.0], [0.0, 0.0, 0.0, 3.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 9.0, 0.0, 0.0, 0.0, 3.0, 12.0, 16.0, 16.0, 8.0, 0.0, 0.0, 0.0, 13.0, 16.0, 9.0, 16.0, 8.0, 0.0, 0.0, 0.0, 1.0, 2.0, 0.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 9.0, 0.0, 0.0], [0.0, 1.0, 12.0, 16.0, 16.0, 15.0, 0.0, 0.0, 0.0, 7.0, 13.0, 7.0, 8.0, 16.0, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 8.0, 14.0, 0.0, 0.0, 0.0, 0.0, 7.0, 15.0, 16.0, 16.0, 11.0, 0.0, 0.0, 3.0, 15.0, 12.0, 15.0, 4.0, 2.0, 0.0, 0.0, 0.0, 1.0, 12.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 9.0, 0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 8.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 13.0, 8.0, 2.0, 0.0, 0.0, 0.0, 0.0, 13.0, 16.0, 13.0, 14.0, 4.0, 0.0, 0.0, 0.0, 11.0, 8.0, 2.0, 3.0, 13.0, 0.0, 0.0, 0.0, 7.0, 11.0, 5.0, 12.0, 11.0, 0.0, 0.0, 0.0, 1.0, 11.0, 12.0, 4.0, 0.0, 0.0], [0.0, 0.0, 13.0, 16.0, 16.0, 9.0, 0.0, 0.0, 0.0, 2.0, 16.0, 7.0, 7.0, 16.0, 0.0, 0.0, 0.0, 0.0, 4.0, 0.0, 11.0, 10.0, 0.0, 0.0, 0.0, 0.0, 1.0, 13.0, 14.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 15.0, 11.0, 1.0, 0.0, 0.0, 0.0, 0.0, 1.0, 2.0, 13.0, 10.0, 0.0, 0.0, 0.0, 8.0, 9.0, 1.0, 12.0, 11.0, 0.0, 0.0, 0.0, 11.0, 16.0, 16.0, 15.0, 1.0, 0.0], [0.0, 0.0, 7.0, 16.0, 12.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 7.0, 13.0, 3.0, 0.0, 0.0, 0.0, 0.0, 15.0, 2.0, 10.0, 6.0, 0.0, 0.0, 0.0, 0.0, 4.0, 0.0, 12.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 15.0, 14.0, 8.0, 7.0, 1.0, 0.0, 0.0, 6.0, 13.0, 12.0, 12.0, 15.0, 12.0], [0.0, 0.0, 1.0, 14.0, 14.0, 2.0, 0.0, 0.0, 0.0, 0.0, 1.0, 14.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 12.0, 1.0, 0.0, 0.0, 0.0, 0.0, 14.0, 16.0, 11.0, 0.0, 0.0], [0.0, 1.0, 8.0, 16.0, 15.0, 0.0, 0.0, 0.0, 0.0, 4.0, 13.0, 5.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 7.0, 14.0, 6.0, 2.0, 0.0, 0.0, 0.0, 12.0, 16.0, 14.0, 13.0, 8.0, 0.0, 0.0, 0.0, 8.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 8.0, 0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 7.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 14.0, 8.0, 0.0, 1.0, 0.0, 0.0, 0.0, 8.0, 14.0, 0.0, 9.0, 11.0, 0.0, 0.0, 1.0, 15.0, 6.0, 1.0, 14.0, 10.0, 0.0, 0.0, 8.0, 15.0, 0.0, 8.0, 16.0, 1.0, 0.0, 0.0, 10.0, 15.0, 9.0, 15.0, 15.0, 0.0, 0.0, 0.0, 5.0, 15.0, 14.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 15.0, 2.0, 0.0, 0.0], [0.0, 0.0, 0.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 16.0, 12.0, 9.0, 1.0, 0.0, 0.0, 0.0, 15.0, 16.0, 14.0, 13.0, 12.0, 0.0, 0.0, 0.0, 14.0, 15.0, 7.0, 0.0, 15.0, 6.0, 0.0, 0.0, 9.0, 14.0, 4.0, 7.0, 15.0, 8.0, 0.0, 0.0, 1.0, 13.0, 16.0, 16.0, 12.0, 1.0], [0.0, 0.0, 10.0, 16.0, 16.0, 10.0, 0.0, 0.0, 0.0, 8.0, 15.0, 7.0, 6.0, 14.0, 0.0, 0.0, 0.0, 1.0, 3.0, 0.0, 15.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 13.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 15.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 12.0, 0.0, 0.0, 0.0, 0.0, 6.0, 0.0, 12.0, 10.0, 0.0, 0.0, 0.0, 0.0, 13.0, 16.0, 15.0, 3.0, 0.0, 0.0], [0.0, 0.0, 2.0, 14.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 15.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 14.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 15.0, 12.0, 0.0, 0.0, 0.0], [0.0, 1.0, 12.0, 16.0, 14.0, 2.0, 0.0, 0.0, 0.0, 7.0, 15.0, 4.0, 13.0, 7.0, 0.0, 0.0, 0.0, 0.0, 2.0, 0.0, 12.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 13.0, 15.0, 9.0, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 8.0, 15.0, 0.0, 0.0, 0.0, 8.0, 4.0, 1.0, 12.0, 10.0, 0.0, 0.0, 1.0, 13.0, 16.0, 16.0, 13.0, 1.0, 0.0], [0.0, 0.0, 8.0, 16.0, 13.0, 2.0, 0.0, 0.0, 0.0, 2.0, 16.0, 8.0, 11.0, 14.0, 1.0, 0.0, 0.0, 3.0, 16.0, 1.0, 12.0, 16.0, 5.0, 0.0, 0.0, 0.0, 12.0, 16.0, 16.0, 13.0, 9.0, 0.0, 0.0, 0.0, 0.0, 4.0, 2.0, 9.0, 14.0, 0.0, 0.0, 0.0, 4.0, 5.0, 0.0, 8.0, 13.0, 0.0, 0.0, 1.0, 16.0, 11.0, 1.0, 13.0, 7.0, 0.0, 0.0, 0.0, 8.0, 15.0, 16.0, 15.0, 1.0, 0.0], [0.0, 0.0, 2.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 15.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 16.0, 11.0, 0.0, 0.0], [0.0, 0.0, 3.0, 13.0, 16.0, 13.0, 1.0, 0.0, 0.0, 3.0, 15.0, 13.0, 10.0, 16.0, 2.0, 0.0, 0.0, 4.0, 10.0, 0.0, 4.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 3.0, 11.0, 14.0, 2.0, 0.0, 0.0, 0.0, 9.0, 16.0, 16.0, 16.0, 8.0, 0.0, 0.0, 0.0, 9.0, 12.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 12.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 8.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 10.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 10.0, 2.0, 0.0, 0.0, 0.0, 0.0, 12.0, 16.0, 12.0, 11.0, 5.0, 0.0, 0.0, 0.0, 11.0, 7.0, 3.0, 2.0, 14.0, 0.0, 0.0, 0.0, 6.0, 13.0, 0.0, 4.0, 13.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 15.0, 5.0, 0.0], [0.0, 0.0, 6.0, 12.0, 13.0, 7.0, 0.0, 0.0, 0.0, 0.0, 16.0, 10.0, 16.0, 12.0, 0.0, 0.0, 0.0, 0.0, 13.0, 7.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 1.0, 15.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 7.0, 10.0, 2.0, 0.0, 0.0, 0.0, 0.0, 13.0, 4.0, 13.0, 3.0, 0.0, 0.0, 0.0, 0.0, 7.0, 15.0, 9.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 0.0, 12.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 4.0, 15.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 10.0, 0.0, 8.0, 10.0, 0.0, 0.0, 6.0, 15.0, 1.0, 1.0, 15.0, 8.0, 0.0, 0.0, 7.0, 16.0, 8.0, 10.0, 16.0, 7.0, 0.0, 0.0, 4.0, 15.0, 16.0, 16.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 9.0, 0.0, 0.0], [0.0, 0.0, 5.0, 16.0, 16.0, 10.0, 0.0, 0.0, 0.0, 2.0, 16.0, 14.0, 14.0, 14.0, 0.0, 0.0, 0.0, 2.0, 14.0, 4.0, 14.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 13.0, 0.0, 0.0, 0.0, 7.0, 11.0, 8.0, 16.0, 11.0, 0.0, 0.0, 0.0, 8.0, 16.0, 16.0, 10.0, 1.0, 0.0], [0.0, 0.0, 2.0, 16.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 15.0, 13.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 6.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 1.0, 13.0, 13.0, 1.0, 2.0, 1.0, 0.0, 0.0, 7.0, 16.0, 5.0, 1.0, 14.0, 10.0, 0.0, 0.0, 12.0, 16.0, 8.0, 12.0, 16.0, 2.0, 0.0, 0.0, 2.0, 12.0, 15.0, 16.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 15.0, 0.0, 0.0, 0.0], [0.0, 0.0, 4.0, 16.0, 12.0, 1.0, 0.0, 0.0, 0.0, 2.0, 16.0, 16.0, 11.0, 8.0, 0.0, 0.0, 0.0, 3.0, 16.0, 13.0, 1.0, 14.0, 2.0, 0.0, 0.0, 4.0, 16.0, 0.0, 0.0, 13.0, 4.0, 0.0, 0.0, 4.0, 15.0, 0.0, 0.0, 13.0, 8.0, 0.0, 0.0, 1.0, 16.0, 1.0, 0.0, 14.0, 5.0, 0.0, 0.0, 0.0, 10.0, 8.0, 7.0, 15.0, 1.0, 0.0, 0.0, 0.0, 2.0, 13.0, 16.0, 8.0, 0.0, 0.0], [0.0, 0.0, 7.0, 16.0, 15.0, 4.0, 0.0, 0.0, 0.0, 0.0, 3.0, 13.0, 4.0, 2.0, 0.0, 0.0, 0.0, 0.0, 9.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 16.0, 13.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 11.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 13.0, 6.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 14.0, 0.0, 0.0, 0.0], [0.0, 0.0, 9.0, 16.0, 16.0, 7.0, 0.0, 0.0, 0.0, 13.0, 15.0, 9.0, 12.0, 15.0, 0.0, 0.0, 0.0, 5.0, 4.0, 0.0, 13.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 10.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 12.0, 13.0, 0.0, 0.0, 0.0, 7.0, 1.0, 1.0, 12.0, 14.0, 0.0, 0.0, 0.0, 9.0, 16.0, 16.0, 14.0, 5.0, 0.0], [0.0, 0.0, 0.0, 15.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 16.0, 16.0, 9.0, 1.0, 0.0, 0.0, 0.0, 14.0, 11.0, 0.0, 8.0, 9.0, 0.0, 0.0, 0.0, 11.0, 14.0, 3.0, 2.0, 14.0, 0.0, 0.0, 0.0, 8.0, 11.0, 4.0, 14.0, 7.0, 0.0, 0.0, 0.0, 1.0, 12.0, 14.0, 6.0, 0.0, 0.0], [0.0, 0.0, 6.0, 12.0, 15.0, 9.0, 1.0, 0.0, 0.0, 5.0, 14.0, 4.0, 5.0, 16.0, 3.0, 0.0, 0.0, 9.0, 8.0, 3.0, 13.0, 16.0, 4.0, 0.0, 0.0, 3.0, 15.0, 15.0, 7.0, 10.0, 8.0, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 12.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 2.0, 0.0, 0.0, 0.0, 7.0, 4.0, 5.0, 13.0, 0.0, 0.0, 0.0, 0.0, 5.0, 14.0, 15.0, 4.0, 0.0, 0.0], [0.0, 0.0, 3.0, 16.0, 14.0, 1.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 9.0, 1.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 14.0, 16.0, 12.0, 2.0, 0.0, 0.0, 4.0, 16.0, 14.0, 13.0, 11.0, 14.0, 0.0, 0.0, 0.0, 16.0, 5.0, 3.0, 7.0, 16.0, 3.0, 0.0, 0.0, 11.0, 12.0, 8.0, 16.0, 10.0, 0.0, 0.0, 0.0, 2.0, 14.0, 16.0, 12.0, 0.0, 0.0], [0.0, 0.0, 2.0, 16.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 12.0, 15.0, 0.0, 0.0, 0.0], [0.0, 0.0, 8.0, 16.0, 15.0, 4.0, 0.0, 0.0, 0.0, 10.0, 16.0, 11.0, 13.0, 12.0, 0.0, 0.0, 0.0, 12.0, 7.0, 0.0, 13.0, 8.0, 0.0, 0.0, 0.0, 0.0, 1.0, 7.0, 16.0, 12.0, 5.0, 0.0, 0.0, 5.0, 15.0, 16.0, 16.0, 14.0, 9.0, 0.0, 0.0, 2.0, 8.0, 15.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 13.0, 0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 11.0, 16.0, 16.0, 11.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 7.0, 2.0, 0.0, 0.0, 0.0, 1.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 15.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 8.0, 0.0, 0.0, 0.0, 0.0, 3.0, 8.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 14.0, 16.0, 9.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 1.0, 11.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 13.0, 1.0, 0.0, 0.0, 0.0, 0.0, 8.0, 15.0, 3.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 6.0, 1.0, 5.0, 2.0, 0.0, 0.0, 12.0, 13.0, 8.0, 13.0, 16.0, 9.0, 0.0, 0.0, 16.0, 16.0, 13.0, 11.0, 16.0, 6.0, 0.0, 0.0, 3.0, 4.0, 0.0, 11.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 12.0, 0.0, 0.0], [0.0, 0.0, 0.0, 3.0, 14.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 11.0, 1.0, 0.0, 0.0, 0.0, 0.0, 9.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 4.0, 0.0, 4.0, 2.0, 0.0, 0.0, 12.0, 12.0, 7.0, 14.0, 16.0, 10.0, 0.0, 0.0, 13.0, 16.0, 14.0, 11.0, 16.0, 4.0, 0.0, 0.0, 2.0, 2.0, 0.0, 11.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 9.0, 0.0, 0.0], [0.0, 0.0, 3.0, 13.0, 16.0, 16.0, 5.0, 0.0, 0.0, 4.0, 15.0, 13.0, 10.0, 16.0, 6.0, 0.0, 0.0, 1.0, 8.0, 1.0, 4.0, 16.0, 4.0, 0.0, 0.0, 0.0, 1.0, 6.0, 11.0, 16.0, 10.0, 0.0, 0.0, 0.0, 13.0, 16.0, 16.0, 13.0, 3.0, 0.0, 0.0, 0.0, 10.0, 7.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 8.0, 0.0, 0.0, 0.0], [0.0, 0.0, 7.0, 14.0, 11.0, 1.0, 0.0, 0.0, 0.0, 6.0, 15.0, 6.0, 7.0, 10.0, 0.0, 0.0, 0.0, 11.0, 7.0, 0.0, 2.0, 12.0, 0.0, 0.0, 0.0, 5.0, 4.0, 0.0, 1.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 13.0, 2.0, 3.0, 0.0, 0.0, 0.0, 7.0, 16.0, 16.0, 16.0, 16.0, 6.0], [0.0, 0.0, 8.0, 15.0, 14.0, 7.0, 0.0, 0.0, 0.0, 0.0, 12.0, 16.0, 14.0, 16.0, 0.0, 0.0, 0.0, 0.0, 3.0, 15.0, 14.0, 14.0, 1.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 5.0, 14.0, 14.0, 4.0, 0.0, 0.0, 0.0, 0.0, 12.0, 6.0, 8.0, 8.0, 0.0, 0.0, 0.0, 1.0, 16.0, 2.0, 9.0, 7.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 11.0, 1.0, 0.0, 0.0], [0.0, 0.0, 11.0, 16.0, 11.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 11.0, 15.0, 6.0, 0.0, 0.0, 0.0, 1.0, 10.0, 3.0, 10.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 5.0, 0.0, 0.0, 0.0, 1.0, 13.0, 16.0, 16.0, 13.0, 8.0, 0.0, 0.0, 0.0, 11.0, 11.0, 8.0, 13.0, 16.0, 7.0], [0.0, 0.0, 9.0, 16.0, 13.0, 1.0, 0.0, 0.0, 0.0, 8.0, 16.0, 8.0, 11.0, 8.0, 0.0, 0.0, 0.0, 11.0, 10.0, 0.0, 8.0, 10.0, 0.0, 0.0, 0.0, 1.0, 5.0, 0.0, 11.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 4.0, 14.0, 15.0, 7.0, 4.0, 1.0, 0.0, 0.0, 8.0, 16.0, 16.0, 16.0, 16.0, 12.0], [0.0, 0.0, 9.0, 16.0, 16.0, 16.0, 4.0, 0.0, 0.0, 0.0, 8.0, 16.0, 5.0, 4.0, 0.0, 0.0, 0.0, 1.0, 15.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 15.0, 8.0, 7.0, 3.0, 0.0, 0.0, 0.0, 3.0, 12.0, 12.0, 14.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 11.0, 12.0, 0.0, 0.0, 0.0, 1.0, 2.0, 1.0, 11.0, 10.0, 0.0, 0.0, 0.0, 9.0, 16.0, 16.0, 16.0, 4.0, 0.0], [0.0, 0.0, 2.0, 13.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 13.0, 7.0, 7.0, 13.0, 0.0, 0.0, 0.0, 1.0, 7.0, 0.0, 7.0, 13.0, 2.0, 0.0, 0.0, 0.0, 1.0, 10.0, 16.0, 16.0, 13.0, 0.0, 0.0, 0.0, 6.0, 13.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 1.0, 5.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 14.0, 0.0, 0.0, 0.0, 0.0], [0.0, 1.0, 8.0, 11.0, 13.0, 12.0, 0.0, 0.0, 0.0, 5.0, 9.0, 0.0, 4.0, 16.0, 1.0, 0.0, 0.0, 7.0, 5.0, 0.0, 5.0, 16.0, 5.0, 0.0, 0.0, 1.0, 13.0, 11.0, 13.0, 6.0, 8.0, 0.0, 0.0, 0.0, 3.0, 4.0, 1.0, 4.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 5.0, 0.0, 0.0, 2.0, 8.0, 1.0, 2.0, 14.0, 0.0, 0.0, 0.0, 0.0, 8.0, 13.0, 11.0, 3.0, 0.0, 0.0], [0.0, 0.0, 14.0, 16.0, 16.0, 16.0, 2.0, 0.0, 0.0, 7.0, 16.0, 5.0, 1.0, 0.0, 0.0, 0.0, 0.0, 14.0, 13.0, 7.0, 3.0, 0.0, 0.0, 0.0, 0.0, 4.0, 12.0, 13.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 14.0, 0.0, 0.0, 0.0, 0.0, 5.0, 14.0, 16.0, 3.0, 0.0, 0.0, 0.0, 1.0, 15.0, 11.0, 4.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 2.0, 14.0, 5.0, 0.0, 0.0, 0.0, 0.0, 1.0, 11.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 14.0, 1.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 3.0, 4.0, 6.0, 2.0, 0.0, 0.0, 14.0, 16.0, 14.0, 16.0, 16.0, 10.0, 0.0, 0.0, 9.0, 12.0, 7.0, 8.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 15.0, 6.0, 0.0, 0.0], [0.0, 0.0, 2.0, 15.0, 15.0, 3.0, 0.0, 0.0, 0.0, 3.0, 12.0, 15.0, 10.0, 13.0, 0.0, 0.0, 0.0, 3.0, 16.0, 14.0, 11.0, 14.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 16.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 16.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 15.0, 10.0, 0.0, 0.0, 0.0], [0.0, 0.0, 4.0, 15.0, 15.0, 4.0, 0.0, 0.0, 0.0, 6.0, 16.0, 16.0, 12.0, 14.0, 0.0, 0.0, 0.0, 11.0, 11.0, 6.0, 14.0, 12.0, 0.0, 0.0, 0.0, 3.0, 14.0, 13.0, 14.0, 1.0, 0.0, 0.0, 0.0, 0.0, 12.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 13.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 10.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 15.0, 15.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 5.0, 15.0, 3.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 12.0, 0.0, 2.0, 12.0, 0.0, 0.0, 3.0, 16.0, 1.0, 0.0, 11.0, 10.0, 0.0, 0.0, 9.0, 13.0, 0.0, 3.0, 16.0, 5.0, 0.0, 0.0, 13.0, 15.0, 16.0, 16.0, 12.0, 0.0, 0.0, 0.0, 5.0, 12.0, 14.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 15.0, 2.0, 0.0, 0.0], [0.0, 0.0, 1.0, 11.0, 12.0, 9.0, 5.0, 0.0, 0.0, 0.0, 14.0, 6.0, 1.0, 15.0, 10.0, 0.0, 0.0, 2.0, 12.0, 4.0, 12.0, 7.0, 10.0, 0.0, 0.0, 1.0, 13.0, 12.0, 3.0, 4.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 8.0, 0.0, 0.0, 0.0, 3.0, 4.0, 0.0, 7.0, 6.0, 0.0, 0.0, 0.0, 12.0, 7.0, 3.0, 11.0, 0.0, 0.0, 0.0, 0.0, 3.0, 13.0, 15.0, 3.0, 0.0, 0.0], [0.0, 0.0, 2.0, 15.0, 13.0, 2.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 15.0, 12.0, 0.0, 0.0, 0.0, 0.0, 9.0, 14.0, 1.0, 15.0, 5.0, 0.0, 0.0, 0.0, 14.0, 13.0, 0.0, 11.0, 9.0, 0.0, 0.0, 3.0, 16.0, 11.0, 0.0, 12.0, 9.0, 0.0, 0.0, 2.0, 16.0, 3.0, 2.0, 16.0, 6.0, 0.0, 0.0, 1.0, 13.0, 11.0, 15.0, 14.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 15.0, 5.0, 0.0, 0.0], [0.0, 0.0, 10.0, 9.0, 14.0, 10.0, 0.0, 0.0, 0.0, 2.0, 15.0, 15.0, 4.0, 14.0, 2.0, 0.0, 0.0, 0.0, 13.0, 5.0, 9.0, 12.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 14.0, 2.0, 0.0, 0.0, 0.0, 0.0, 11.0, 12.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 1.0, 12.0, 0.0, 0.0, 0.0, 0.0, 3.0, 12.0, 2.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 7.0, 0.0, 0.0, 0.0], [0.0, 0.0, 4.0, 14.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 12.0, 8.0, 9.0, 12.0, 0.0, 0.0, 0.0, 2.0, 11.0, 0.0, 0.0, 12.0, 3.0, 0.0, 0.0, 4.0, 7.0, 0.0, 0.0, 5.0, 8.0, 0.0, 0.0, 6.0, 4.0, 0.0, 0.0, 4.0, 8.0, 0.0, 0.0, 4.0, 9.0, 0.0, 0.0, 6.0, 8.0, 0.0, 0.0, 0.0, 14.0, 9.0, 6.0, 15.0, 2.0, 0.0, 0.0, 0.0, 4.0, 16.0, 15.0, 5.0, 0.0, 0.0], [0.0, 0.0, 0.0, 3.0, 15.0, 16.0, 1.0, 0.0, 0.0, 0.0, 7.0, 15.0, 16.0, 14.0, 0.0, 0.0, 0.0, 4.0, 16.0, 16.0, 15.0, 13.0, 0.0, 0.0, 0.0, 0.0, 8.0, 2.0, 15.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 3.0, 15.0, 13.0, 1.0, 0.0], [0.0, 1.0, 10.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 14.0, 8.0, 0.0, 0.0, 0.0, 0.0, 10.0, 11.0, 8.0, 12.0, 0.0, 0.0, 0.0, 0.0, 1.0, 1.0, 8.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 15.0, 5.0, 1.0, 2.0, 0.0, 0.0, 0.0, 10.0, 16.0, 14.0, 14.0, 12.0, 0.0, 0.0, 0.0, 14.0, 16.0, 16.0, 13.0, 7.0, 0.0], [0.0, 0.0, 8.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 6.0, 15.0, 1.0, 0.0, 0.0, 0.0, 4.0, 10.0, 0.0, 12.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 13.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 6.0, 0.0, 0.0, 0.0, 12.0, 9.0, 9.0, 16.0, 2.0, 0.0, 0.0, 0.0, 8.0, 16.0, 15.0, 7.0, 0.0, 0.0], [0.0, 0.0, 3.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 3.0, 13.0, 5.0, 0.0, 0.0, 0.0, 8.0, 13.0, 1.0, 16.0, 7.0, 6.0, 0.0, 0.0, 14.0, 13.0, 9.0, 16.0, 16.0, 10.0, 0.0, 0.0, 11.0, 16.0, 16.0, 14.0, 9.0, 3.0, 0.0, 0.0, 1.0, 4.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 6.0, 0.0, 0.0, 0.0], [0.0, 1.0, 12.0, 12.0, 12.0, 15.0, 6.0, 0.0, 0.0, 1.0, 14.0, 5.0, 5.0, 4.0, 1.0, 0.0, 0.0, 0.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 16.0, 15.0, 8.0, 0.0, 0.0, 0.0, 1.0, 4.0, 4.0, 5.0, 12.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 4.0, 0.0, 0.0, 2.0, 7.0, 2.0, 10.0, 12.0, 0.0, 0.0, 0.0, 2.0, 16.0, 15.0, 8.0, 1.0, 0.0, 0.0], [0.0, 0.0, 1.0, 13.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 13.0, 1.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 8.0, 4.0, 2.0, 0.0, 0.0, 0.0, 5.0, 16.0, 14.0, 16.0, 15.0, 3.0, 0.0, 0.0, 3.0, 13.0, 1.0, 0.0, 9.0, 9.0, 0.0, 0.0, 0.0, 11.0, 12.0, 4.0, 11.0, 11.0, 0.0, 0.0, 0.0, 2.0, 13.0, 16.0, 13.0, 1.0, 0.0], [0.0, 0.0, 0.0, 11.0, 16.0, 16.0, 10.0, 0.0, 0.0, 0.0, 10.0, 12.0, 9.0, 15.0, 9.0, 0.0, 0.0, 0.0, 13.0, 8.0, 0.0, 12.0, 5.0, 0.0, 0.0, 0.0, 6.0, 0.0, 4.0, 12.0, 0.0, 0.0, 0.0, 0.0, 2.0, 15.0, 16.0, 16.0, 9.0, 0.0, 0.0, 0.0, 6.0, 13.0, 15.0, 9.0, 1.0, 0.0, 0.0, 0.0, 0.0, 9.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 14.0, 4.0, 0.0, 0.0, 0.0], [0.0, 0.0, 4.0, 12.0, 13.0, 5.0, 0.0, 0.0, 0.0, 3.0, 15.0, 8.0, 10.0, 15.0, 2.0, 0.0, 0.0, 3.0, 14.0, 2.0, 2.0, 15.0, 3.0, 0.0, 0.0, 0.0, 10.0, 16.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 13.0, 15.0, 3.0, 0.0, 0.0, 0.0, 2.0, 11.0, 1.0, 12.0, 5.0, 0.0, 0.0, 0.0, 7.0, 9.0, 1.0, 14.0, 2.0, 0.0, 0.0, 0.0, 4.0, 16.0, 16.0, 7.0, 0.0, 0.0], [0.0, 0.0, 5.0, 12.0, 13.0, 12.0, 0.0, 0.0, 0.0, 7.0, 13.0, 5.0, 8.0, 15.0, 0.0, 0.0, 0.0, 4.0, 14.0, 4.0, 13.0, 16.0, 3.0, 0.0, 0.0, 0.0, 6.0, 12.0, 8.0, 9.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 8.0, 0.0, 0.0, 0.0, 1.0, 3.0, 2.0, 13.0, 6.0, 0.0, 0.0, 0.0, 6.0, 16.0, 16.0, 8.0, 1.0, 0.0], [0.0, 0.0, 3.0, 10.0, 16.0, 4.0, 0.0, 0.0, 0.0, 1.0, 15.0, 16.0, 16.0, 10.0, 0.0, 0.0, 0.0, 6.0, 10.0, 2.0, 3.0, 14.0, 1.0, 0.0, 0.0, 8.0, 6.0, 0.0, 0.0, 10.0, 4.0, 0.0, 0.0, 4.0, 8.0, 0.0, 0.0, 5.0, 8.0, 0.0, 0.0, 0.0, 15.0, 0.0, 0.0, 9.0, 8.0, 0.0, 0.0, 0.0, 12.0, 14.0, 10.0, 16.0, 3.0, 0.0, 0.0, 0.0, 4.0, 14.0, 13.0, 5.0, 0.0, 0.0], [0.0, 0.0, 0.0, 0.0, 9.0, 15.0, 0.0, 0.0, 0.0, 0.0, 1.0, 10.0, 16.0, 16.0, 1.0, 0.0, 0.0, 5.0, 16.0, 15.0, 14.0, 16.0, 0.0, 0.0, 0.0, 1.0, 8.0, 0.0, 10.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 3.0, 0.0], [0.0, 3.0, 16.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 15.0, 6.0, 0.0, 0.0, 0.0, 0.0, 13.0, 10.0, 13.0, 8.0, 0.0, 0.0, 0.0, 0.0, 1.0, 3.0, 11.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 10.0, 5.0, 7.0, 0.0, 0.0, 1.0, 13.0, 16.0, 16.0, 16.0, 16.0, 0.0, 0.0, 2.0, 14.0, 15.0, 11.0, 8.0, 3.0, 0.0], [0.0, 0.0, 12.0, 16.0, 15.0, 1.0, 0.0, 0.0, 0.0, 5.0, 16.0, 10.0, 15.0, 8.0, 0.0, 0.0, 0.0, 1.0, 7.0, 3.0, 14.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 13.0, 16.0, 6.0, 0.0, 0.0, 0.0, 4.0, 0.0, 0.0, 15.0, 11.0, 0.0, 0.0, 2.0, 16.0, 10.0, 11.0, 16.0, 7.0, 0.0, 0.0, 0.0, 10.0, 16.0, 16.0, 10.0, 1.0, 0.0], [0.0, 0.0, 0.0, 10.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 10.0, 1.0, 2.0, 0.0, 0.0, 0.0, 5.0, 15.0, 2.0, 15.0, 9.0, 1.0, 0.0, 0.0, 11.0, 13.0, 6.0, 16.0, 16.0, 9.0, 0.0, 0.0, 13.0, 16.0, 16.0, 16.0, 10.0, 2.0, 0.0, 0.0, 2.0, 7.0, 13.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 11.0, 0.0, 0.0, 0.0], [0.0, 0.0, 11.0, 10.0, 8.0, 12.0, 1.0, 0.0, 0.0, 0.0, 16.0, 13.0, 12.0, 10.0, 0.0, 0.0, 0.0, 5.0, 14.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 16.0, 13.0, 8.0, 0.0, 0.0, 0.0, 0.0, 4.0, 4.0, 8.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 8.0, 0.0, 0.0, 0.0, 9.0, 4.0, 7.0, 16.0, 5.0, 0.0, 0.0, 0.0, 14.0, 16.0, 14.0, 7.0, 0.0, 0.0], [0.0, 0.0, 2.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 14.0, 8.0, 7.0, 2.0, 0.0, 0.0, 0.0, 8.0, 15.0, 12.0, 13.0, 15.0, 2.0, 0.0, 0.0, 2.0, 15.0, 1.0, 0.0, 7.0, 11.0, 0.0, 0.0, 0.0, 13.0, 8.0, 5.0, 13.0, 9.0, 0.0, 0.0, 0.0, 2.0, 13.0, 16.0, 11.0, 1.0, 0.0], [0.0, 0.0, 1.0, 9.0, 16.0, 16.0, 16.0, 1.0, 0.0, 0.0, 8.0, 15.0, 10.0, 14.0, 13.0, 0.0, 0.0, 0.0, 14.0, 6.0, 0.0, 14.0, 6.0, 0.0, 0.0, 0.0, 6.0, 2.0, 6.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 12.0, 16.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 6.0, 0.0, 0.0, 0.0], [0.0, 0.0, 3.0, 12.0, 15.0, 11.0, 2.0, 0.0, 0.0, 0.0, 11.0, 13.0, 7.0, 13.0, 8.0, 0.0, 0.0, 7.0, 15.0, 1.0, 5.0, 15.0, 3.0, 0.0, 0.0, 1.0, 12.0, 16.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 15.0, 15.0, 2.0, 0.0, 0.0, 0.0, 2.0, 13.0, 0.0, 10.0, 5.0, 0.0, 0.0, 0.0, 4.0, 11.0, 4.0, 11.0, 6.0, 0.0, 0.0, 0.0, 2.0, 13.0, 16.0, 12.0, 0.0, 0.0], [0.0, 0.0, 11.0, 16.0, 16.0, 12.0, 0.0, 0.0, 0.0, 3.0, 16.0, 7.0, 14.0, 16.0, 1.0, 0.0, 0.0, 0.0, 15.0, 14.0, 15.0, 16.0, 6.0, 0.0, 0.0, 0.0, 2.0, 10.0, 9.0, 15.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 8.0, 0.0, 0.0, 0.0, 6.0, 11.0, 6.0, 15.0, 5.0, 0.0, 0.0, 0.0, 9.0, 16.0, 16.0, 12.0, 0.0, 0.0], [0.0, 0.0, 2.0, 9.0, 14.0, 12.0, 0.0, 0.0, 0.0, 0.0, 12.0, 16.0, 10.0, 15.0, 1.0, 0.0, 0.0, 4.0, 14.0, 3.0, 2.0, 6.0, 6.0, 0.0, 0.0, 5.0, 7.0, 0.0, 0.0, 3.0, 8.0, 0.0, 0.0, 4.0, 7.0, 0.0, 0.0, 1.0, 8.0, 0.0, 0.0, 3.0, 12.0, 1.0, 0.0, 5.0, 8.0, 0.0, 0.0, 0.0, 10.0, 12.0, 7.0, 14.0, 3.0, 0.0, 0.0, 0.0, 1.0, 12.0, 16.0, 8.0, 0.0, 0.0], [0.0, 0.0, 0.0, 0.0, 11.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 16.0, 2.0, 0.0, 0.0, 3.0, 13.0, 16.0, 16.0, 16.0, 0.0, 0.0, 0.0, 9.0, 16.0, 12.0, 16.0, 14.0, 0.0, 0.0, 0.0, 1.0, 3.0, 0.0, 16.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 7.0, 0.0], [0.0, 4.0, 16.0, 15.0, 2.0, 0.0, 0.0, 0.0, 0.0, 11.0, 15.0, 15.0, 7.0, 0.0, 0.0, 0.0, 0.0, 9.0, 10.0, 6.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 7.0, 2.0, 2.0, 0.0, 0.0, 1.0, 12.0, 16.0, 15.0, 16.0, 15.0, 0.0, 0.0, 4.0, 16.0, 16.0, 16.0, 12.0, 11.0, 0.0], [0.0, 1.0, 12.0, 15.0, 5.0, 0.0, 0.0, 0.0, 0.0, 4.0, 15.0, 8.0, 15.0, 3.0, 0.0, 0.0, 0.0, 0.0, 3.0, 1.0, 14.0, 4.0, 0.0, 0.0, 0.0, 0.0, 4.0, 14.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 1.0, 10.0, 14.0, 15.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 8.0, 0.0, 0.0, 4.0, 8.0, 4.0, 10.0, 16.0, 4.0, 0.0, 0.0, 2.0, 12.0, 16.0, 13.0, 6.0, 0.0, 0.0], [0.0, 0.0, 0.0, 12.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 15.0, 1.0, 1.0, 0.0, 0.0, 0.0, 1.0, 14.0, 8.0, 10.0, 8.0, 0.0, 0.0, 0.0, 6.0, 15.0, 0.0, 13.0, 12.0, 6.0, 0.0, 0.0, 14.0, 15.0, 12.0, 16.0, 16.0, 9.0, 0.0, 0.0, 10.0, 16.0, 15.0, 16.0, 8.0, 1.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 9.0, 0.0, 0.0, 0.0], [0.0, 2.0, 6.0, 10.0, 12.0, 1.0, 0.0, 0.0, 0.0, 14.0, 13.0, 10.0, 5.0, 1.0, 0.0, 0.0, 0.0, 10.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 13.0, 12.0, 12.0, 5.0, 0.0, 0.0, 0.0, 2.0, 8.0, 5.0, 7.0, 14.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 12.0, 0.0, 0.0, 0.0, 2.0, 2.0, 1.0, 10.0, 10.0, 0.0, 0.0, 0.0, 5.0, 16.0, 16.0, 14.0, 1.0, 0.0], [0.0, 0.0, 6.0, 14.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 14.0, 0.0, 4.0, 2.0, 0.0, 0.0, 0.0, 7.0, 16.0, 16.0, 16.0, 16.0, 5.0, 0.0, 0.0, 4.0, 16.0, 6.0, 0.0, 9.0, 11.0, 0.0, 0.0, 0.0, 14.0, 8.0, 5.0, 13.0, 9.0, 0.0, 0.0, 0.0, 5.0, 13.0, 16.0, 12.0, 1.0, 0.0], [0.0, 0.0, 1.0, 14.0, 16.0, 16.0, 15.0, 1.0, 0.0, 0.0, 11.0, 14.0, 8.0, 13.0, 11.0, 0.0, 0.0, 0.0, 15.0, 6.0, 0.0, 14.0, 3.0, 0.0, 0.0, 0.0, 5.0, 1.0, 5.0, 13.0, 1.0, 0.0, 0.0, 0.0, 0.0, 13.0, 16.0, 16.0, 9.0, 0.0, 0.0, 0.0, 2.0, 16.0, 15.0, 9.0, 1.0, 0.0, 0.0, 0.0, 0.0, 11.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 2.0, 0.0, 0.0, 0.0], [0.0, 0.0, 1.0, 14.0, 13.0, 4.0, 0.0, 0.0, 0.0, 3.0, 15.0, 12.0, 11.0, 15.0, 0.0, 0.0, 0.0, 8.0, 11.0, 1.0, 7.0, 13.0, 0.0, 0.0, 0.0, 1.0, 13.0, 14.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 13.0, 14.0, 2.0, 0.0, 0.0, 0.0, 2.0, 12.0, 0.0, 9.0, 8.0, 0.0, 0.0, 0.0, 3.0, 13.0, 4.0, 12.0, 6.0, 0.0, 0.0, 0.0, 0.0, 9.0, 14.0, 13.0, 1.0, 0.0], [0.0, 0.0, 8.0, 13.0, 14.0, 5.0, 0.0, 0.0, 0.0, 5.0, 13.0, 4.0, 11.0, 9.0, 0.0, 0.0, 0.0, 4.0, 13.0, 1.0, 12.0, 14.0, 0.0, 0.0, 0.0, 0.0, 8.0, 14.0, 11.0, 12.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 8.0, 0.0, 0.0, 0.0, 2.0, 2.0, 0.0, 11.0, 7.0, 0.0, 0.0, 0.0, 8.0, 16.0, 16.0, 13.0, 2.0, 0.0], [0.0, 0.0, 2.0, 12.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 14.0, 15.0, 6.0, 0.0, 0.0, 0.0, 6.0, 10.0, 4.0, 2.0, 14.0, 1.0, 0.0, 0.0, 8.0, 8.0, 0.0, 0.0, 8.0, 5.0, 0.0, 0.0, 7.0, 8.0, 0.0, 0.0, 4.0, 8.0, 0.0, 0.0, 2.0, 14.0, 0.0, 0.0, 5.0, 6.0, 0.0, 0.0, 0.0, 9.0, 12.0, 4.0, 14.0, 3.0, 0.0, 0.0, 0.0, 1.0, 13.0, 15.0, 9.0, 0.0, 0.0], [0.0, 1.0, 11.0, 15.0, 13.0, 2.0, 0.0, 0.0, 0.0, 8.0, 13.0, 5.0, 14.0, 9.0, 0.0, 0.0, 0.0, 3.0, 15.0, 1.0, 10.0, 12.0, 0.0, 0.0, 0.0, 0.0, 7.0, 15.0, 14.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 8.0, 0.0, 0.0, 2.0, 8.0, 4.0, 5.0, 16.0, 7.0, 0.0, 0.0, 1.0, 15.0, 16.0, 15.0, 8.0, 1.0, 0.0], [0.0, 0.0, 14.0, 12.0, 12.0, 12.0, 6.0, 0.0, 0.0, 2.0, 15.0, 8.0, 8.0, 8.0, 4.0, 0.0, 0.0, 5.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 12.0, 11.0, 7.0, 0.0, 0.0, 0.0, 1.0, 4.0, 4.0, 9.0, 15.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 8.0, 0.0, 0.0, 1.0, 11.0, 4.0, 5.0, 14.0, 7.0, 0.0, 0.0, 0.0, 12.0, 16.0, 16.0, 8.0, 1.0, 0.0], [0.0, 2.0, 9.0, 11.0, 12.0, 15.0, 6.0, 0.0, 0.0, 6.0, 16.0, 9.0, 8.0, 8.0, 1.0, 0.0, 0.0, 4.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 12.0, 11.0, 5.0, 0.0, 0.0, 0.0, 1.0, 5.0, 4.0, 8.0, 14.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 8.0, 0.0, 0.0, 1.0, 6.0, 4.0, 5.0, 15.0, 3.0, 0.0, 0.0, 3.0, 16.0, 16.0, 16.0, 8.0, 0.0, 0.0], [0.0, 0.0, 0.0, 9.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0, 10.0, 13.0, 4.0, 0.0, 0.0, 0.0, 0.0, 2.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 11.0, 4.0, 4.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 16.0, 16.0, 16.0, 4.0, 0.0, 0.0, 0.0, 16.0, 2.0, 0.0, 10.0, 8.0, 0.0, 0.0, 0.0, 8.0, 12.0, 4.0, 13.0, 7.0, 0.0, 0.0, 0.0, 1.0, 9.0, 16.0, 11.0, 1.0, 0.0], [0.0, 0.0, 8.0, 9.0, 8.0, 12.0, 8.0, 0.0, 0.0, 0.0, 12.0, 14.0, 10.0, 8.0, 5.0, 0.0, 0.0, 1.0, 14.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 12.0, 12.0, 8.0, 0.0, 0.0, 0.0, 1.0, 4.0, 4.0, 7.0, 15.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 7.0, 0.0, 0.0, 1.0, 12.0, 4.0, 9.0, 15.0, 1.0, 0.0, 0.0, 0.0, 9.0, 16.0, 14.0, 3.0, 0.0, 0.0], [0.0, 0.0, 2.0, 15.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 16.0, 6.0, 0.0, 0.0, 0.0, 3.0, 14.0, 3.0, 7.0, 16.0, 3.0, 0.0, 0.0, 7.0, 8.0, 0.0, 0.0, 8.0, 8.0, 0.0, 0.0, 5.0, 8.0, 0.0, 0.0, 4.0, 8.0, 0.0, 0.0, 4.0, 12.0, 0.0, 0.0, 8.0, 8.0, 0.0, 0.0, 0.0, 14.0, 9.0, 8.0, 16.0, 2.0, 0.0, 0.0, 0.0, 3.0, 14.0, 15.0, 6.0, 0.0, 0.0], [0.0, 0.0, 9.0, 12.0, 13.0, 6.0, 0.0, 0.0, 0.0, 0.0, 16.0, 8.0, 8.0, 15.0, 2.0, 0.0, 0.0, 0.0, 16.0, 10.0, 9.0, 16.0, 5.0, 0.0, 0.0, 0.0, 4.0, 12.0, 11.0, 12.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 7.0, 0.0, 0.0, 0.0, 8.0, 4.0, 7.0, 16.0, 2.0, 0.0, 0.0, 0.0, 10.0, 16.0, 16.0, 7.0, 0.0, 0.0], [0.0, 0.0, 1.0, 12.0, 12.0, 4.0, 1.0, 0.0, 0.0, 0.0, 13.0, 13.0, 13.0, 14.0, 8.0, 0.0, 0.0, 6.0, 15.0, 0.0, 0.0, 12.0, 7.0, 0.0, 0.0, 2.0, 16.0, 13.0, 12.0, 13.0, 1.0, 0.0, 0.0, 0.0, 0.0, 14.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 6.0, 10.0, 2.0, 16.0, 0.0, 0.0, 0.0, 0.0, 11.0, 8.0, 5.0, 16.0, 0.0, 0.0, 0.0, 0.0, 3.0, 12.0, 16.0, 7.0, 0.0, 0.0], [0.0, 1.0, 14.0, 16.0, 14.0, 8.0, 0.0, 0.0, 0.0, 5.0, 12.0, 5.0, 14.0, 9.0, 0.0, 0.0, 0.0, 2.0, 15.0, 9.0, 13.0, 12.0, 0.0, 0.0, 0.0, 0.0, 3.0, 8.0, 8.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 6.0, 0.0, 0.0, 0.0, 4.0, 0.0, 0.0, 8.0, 8.0, 0.0, 0.0, 4.0, 14.0, 4.0, 5.0, 14.0, 7.0, 0.0, 0.0, 1.0, 13.0, 16.0, 16.0, 10.0, 1.0, 0.0], [0.0, 0.0, 2.0, 11.0, 13.0, 5.0, 0.0, 0.0, 0.0, 0.0, 16.0, 10.0, 13.0, 16.0, 7.0, 0.0, 0.0, 0.0, 14.0, 10.0, 0.0, 10.0, 11.0, 0.0, 0.0, 0.0, 4.0, 14.0, 16.0, 13.0, 1.0, 0.0, 0.0, 0.0, 0.0, 11.0, 13.0, 12.0, 1.0, 0.0, 0.0, 0.0, 8.0, 10.0, 2.0, 14.0, 3.0, 0.0, 0.0, 0.0, 10.0, 10.0, 3.0, 15.0, 1.0, 0.0, 0.0, 0.0, 2.0, 15.0, 16.0, 6.0, 0.0, 0.0], [0.0, 0.0, 0.0, 5.0, 15.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 10.0, 2.0, 0.0, 0.0, 0.0, 0.0, 12.0, 14.0, 4.0, 15.0, 0.0, 0.0, 0.0, 6.0, 16.0, 4.0, 9.0, 15.0, 8.0, 0.0, 0.0, 14.0, 15.0, 11.0, 15.0, 16.0, 9.0, 0.0, 0.0, 7.0, 15.0, 15.0, 16.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 2.0, 0.0, 0.0], [0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 16.0, 4.0, 0.0, 0.0, 2.0, 11.0, 15.0, 16.0, 16.0, 7.0, 0.0, 0.0, 10.0, 16.0, 13.0, 10.0, 16.0, 4.0, 0.0, 0.0, 1.0, 3.0, 0.0, 4.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 6.0, 0.0], [0.0, 0.0, 3.0, 15.0, 16.0, 16.0, 5.0, 0.0, 0.0, 0.0, 10.0, 12.0, 10.0, 16.0, 6.0, 0.0, 0.0, 2.0, 15.0, 2.0, 3.0, 16.0, 1.0, 0.0, 0.0, 0.0, 2.0, 3.0, 10.0, 13.0, 2.0, 0.0, 0.0, 0.0, 3.0, 16.0, 16.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 12.0, 13.0, 7.0, 1.0, 0.0, 0.0, 0.0, 1.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 14.0, 2.0, 0.0, 0.0, 0.0], [0.0, 0.0, 1.0, 13.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 8.0, 14.0, 13.0, 14.0, 0.0, 0.0, 0.0, 1.0, 15.0, 5.0, 5.0, 15.0, 0.0, 0.0, 0.0, 7.0, 12.0, 0.0, 9.0, 11.0, 0.0, 0.0, 0.0, 1.0, 2.0, 11.0, 15.0, 16.0, 7.0, 0.0, 0.0, 0.0, 4.0, 15.0, 16.0, 9.0, 1.0, 0.0, 0.0, 0.0, 0.0, 10.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 15.0, 7.0, 0.0, 0.0, 0.0], [0.0, 0.0, 8.0, 13.0, 12.0, 3.0, 0.0, 0.0, 0.0, 6.0, 15.0, 7.0, 9.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 15.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 15.0, 7.0, 0.0, 0.0, 0.0, 11.0, 2.0, 1.0, 15.0, 7.0, 0.0, 0.0, 0.0, 8.0, 16.0, 16.0, 12.0, 0.0, 0.0], [0.0, 0.0, 14.0, 12.0, 12.0, 13.0, 0.0, 0.0, 0.0, 1.0, 16.0, 8.0, 8.0, 6.0, 0.0, 0.0, 0.0, 4.0, 15.0, 8.0, 4.0, 0.0, 0.0, 0.0, 0.0, 2.0, 12.0, 12.0, 15.0, 13.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 13.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 7.0, 0.0, 0.0, 5.0, 14.0, 4.0, 7.0, 15.0, 2.0, 0.0, 0.0, 1.0, 10.0, 16.0, 15.0, 5.0, 0.0, 0.0], [0.0, 0.0, 0.0, 0.0, 3.0, 14.0, 3.0, 0.0, 0.0, 0.0, 0.0, 1.0, 14.0, 16.0, 5.0, 0.0, 0.0, 1.0, 9.0, 15.0, 16.0, 16.0, 4.0, 0.0, 0.0, 4.0, 12.0, 7.0, 3.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 4.0, 0.0], [0.0, 0.0, 3.0, 12.0, 8.0, 1.0, 0.0, 0.0, 0.0, 0.0, 14.0, 16.0, 16.0, 15.0, 1.0, 0.0, 0.0, 3.0, 15.0, 2.0, 1.0, 12.0, 4.0, 0.0, 0.0, 6.0, 9.0, 0.0, 0.0, 7.0, 8.0, 0.0, 0.0, 7.0, 8.0, 0.0, 0.0, 5.0, 8.0, 0.0, 0.0, 4.0, 12.0, 0.0, 0.0, 9.0, 6.0, 0.0, 0.0, 0.0, 15.0, 11.0, 9.0, 16.0, 2.0, 0.0, 0.0, 0.0, 3.0, 11.0, 15.0, 7.0, 0.0, 0.0], [0.0, 0.0, 3.0, 13.0, 9.0, 1.0, 0.0, 0.0, 0.0, 0.0, 13.0, 14.0, 15.0, 13.0, 0.0, 0.0, 0.0, 2.0, 14.0, 1.0, 2.0, 13.0, 4.0, 0.0, 0.0, 4.0, 8.0, 0.0, 0.0, 5.0, 8.0, 0.0, 0.0, 4.0, 8.0, 0.0, 0.0, 4.0, 8.0, 0.0, 0.0, 4.0, 10.0, 0.0, 0.0, 5.0, 8.0, 0.0, 0.0, 0.0, 14.0, 11.0, 10.0, 14.0, 5.0, 0.0, 0.0, 0.0, 4.0, 12.0, 13.0, 9.0, 0.0, 0.0], [0.0, 3.0, 15.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 11.0, 15.0, 12.0, 15.0, 0.0, 0.0, 0.0, 0.0, 2.0, 2.0, 2.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 15.0, 4.0, 1.0, 0.0, 0.0, 1.0, 10.0, 16.0, 16.0, 16.0, 11.0, 0.0, 0.0, 4.0, 16.0, 14.0, 12.0, 8.0, 3.0, 0.0], [0.0, 1.0, 15.0, 15.0, 2.0, 0.0, 0.0, 0.0, 0.0, 7.0, 14.0, 13.0, 9.0, 0.0, 0.0, 0.0, 0.0, 9.0, 9.0, 6.0, 13.0, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 8.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 16.0, 16.0, 7.0, 0.0, 0.0, 0.0, 16.0, 15.0, 12.0, 12.0, 3.0, 0.0], [0.0, 0.0, 0.0, 8.0, 16.0, 16.0, 16.0, 6.0, 0.0, 0.0, 6.0, 14.0, 5.0, 8.0, 16.0, 2.0, 0.0, 0.0, 7.0, 4.0, 0.0, 6.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 6.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 12.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 9.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 4.0, 14.0, 14.0, 1.0, 0.0, 0.0, 0.0, 3.0, 14.0, 12.0, 10.0, 4.0, 0.0, 0.0, 3.0, 13.0, 4.0, 0.0, 8.0, 6.0, 0.0, 0.0, 3.0, 15.0, 9.0, 2.0, 15.0, 1.0, 0.0, 0.0, 0.0, 2.0, 10.0, 16.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 14.0, 4.0, 0.0, 0.0, 0.0, 0.0, 2.0, 12.0, 9.0, 3.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 14.0, 0.0, 0.0], [0.0, 5.0, 16.0, 15.0, 3.0, 0.0, 0.0, 0.0, 0.0, 11.0, 14.0, 11.0, 11.0, 0.0, 0.0, 0.0, 0.0, 8.0, 11.0, 4.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 9.0, 5.0, 1.0, 0.0, 0.0, 1.0, 11.0, 16.0, 16.0, 16.0, 10.0, 0.0, 0.0, 5.0, 16.0, 14.0, 8.0, 6.0, 1.0, 0.0], [0.0, 0.0, 11.0, 16.0, 10.0, 1.0, 0.0, 0.0, 0.0, 1.0, 15.0, 14.0, 15.0, 11.0, 0.0, 0.0, 0.0, 7.0, 14.0, 1.0, 4.0, 16.0, 3.0, 0.0, 0.0, 7.0, 13.0, 0.0, 0.0, 10.0, 11.0, 0.0, 0.0, 9.0, 12.0, 0.0, 0.0, 8.0, 12.0, 0.0, 0.0, 5.0, 14.0, 0.0, 0.0, 7.0, 13.0, 0.0, 0.0, 1.0, 16.0, 10.0, 5.0, 15.0, 8.0, 0.0, 0.0, 0.0, 7.0, 16.0, 16.0, 15.0, 0.0, 0.0], [0.0, 0.0, 0.0, 1.0, 8.0, 16.0, 2.0, 0.0, 0.0, 0.0, 5.0, 13.0, 16.0, 16.0, 0.0, 0.0, 0.0, 11.0, 16.0, 15.0, 12.0, 16.0, 0.0, 0.0, 0.0, 3.0, 8.0, 1.0, 8.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 8.0, 0.0], [0.0, 1.0, 15.0, 15.0, 3.0, 0.0, 0.0, 0.0, 0.0, 8.0, 15.0, 12.0, 14.0, 0.0, 0.0, 0.0, 0.0, 8.0, 8.0, 6.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 10.0, 10.0, 5.0, 0.0, 0.0, 1.0, 13.0, 16.0, 16.0, 16.0, 11.0, 0.0, 0.0, 3.0, 16.0, 12.0, 8.0, 5.0, 1.0, 0.0], [0.0, 0.0, 0.0, 13.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 12.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 14.0, 0.0, 4.0, 5.0, 0.0, 0.0, 0.0, 7.0, 16.0, 4.0, 7.0, 14.0, 7.0, 0.0, 0.0, 3.0, 14.0, 0.0, 0.0, 4.0, 12.0, 0.0, 0.0, 0.0, 10.0, 10.0, 4.0, 10.0, 12.0, 0.0, 0.0, 0.0, 1.0, 9.0, 16.0, 14.0, 2.0, 0.0], [0.0, 2.0, 10.0, 16.0, 16.0, 2.0, 0.0, 0.0, 0.0, 10.0, 15.0, 9.0, 16.0, 4.0, 0.0, 0.0, 0.0, 5.0, 3.0, 6.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 2.0, 15.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 1.0, 10.0, 14.0, 16.0, 3.0, 0.0, 0.0, 0.0, 5.0, 1.0, 0.0, 13.0, 10.0, 0.0, 0.0, 0.0, 16.0, 13.0, 10.0, 15.0, 11.0, 0.0, 0.0, 0.0, 11.0, 16.0, 16.0, 13.0, 3.0, 0.0], [0.0, 0.0, 8.0, 13.0, 11.0, 1.0, 0.0, 0.0, 0.0, 4.0, 15.0, 5.0, 12.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 13.0, 15.0, 3.0, 0.0, 0.0, 0.0, 1.0, 0.0, 0.0, 7.0, 12.0, 0.0, 0.0, 1.0, 15.0, 8.0, 7.0, 12.0, 12.0, 0.0, 0.0, 0.0, 6.0, 14.0, 16.0, 15.0, 5.0, 0.0], [0.0, 0.0, 3.0, 13.0, 16.0, 16.0, 13.0, 0.0, 0.0, 0.0, 11.0, 14.0, 8.0, 15.0, 9.0, 0.0, 0.0, 0.0, 3.0, 5.0, 2.0, 14.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 11.0, 1.0, 0.0, 0.0, 0.0, 2.0, 15.0, 15.0, 16.0, 9.0, 0.0, 0.0, 0.0, 2.0, 15.0, 14.0, 8.0, 2.0, 0.0, 0.0, 0.0, 0.0, 11.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 15.0, 4.0, 0.0, 0.0, 0.0], [0.0, 1.0, 11.0, 16.0, 16.0, 4.0, 0.0, 0.0, 0.0, 7.0, 16.0, 8.0, 14.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 2.0, 0.0, 0.0, 1.0, 5.0, 0.0, 0.0, 14.0, 9.0, 0.0, 0.0, 4.0, 16.0, 10.0, 11.0, 16.0, 6.0, 0.0, 0.0, 1.0, 13.0, 16.0, 16.0, 10.0, 0.0, 0.0], [0.0, 1.0, 12.0, 16.0, 16.0, 9.0, 0.0, 0.0, 0.0, 2.0, 14.0, 5.0, 9.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 12.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 8.0, 15.0, 5.0, 0.0, 0.0, 0.0, 2.0, 0.0, 0.0, 11.0, 9.0, 0.0, 0.0, 4.0, 14.0, 4.0, 4.0, 14.0, 6.0, 0.0, 0.0, 0.0, 15.0, 16.0, 16.0, 11.0, 1.0, 0.0], [0.0, 0.0, 0.0, 10.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 15.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 6.0, 5.0, 1.0, 0.0, 0.0, 0.0, 7.0, 15.0, 2.0, 16.0, 3.0, 5.0, 0.0, 0.0, 11.0, 11.0, 6.0, 16.0, 15.0, 10.0, 0.0, 0.0, 12.0, 16.0, 16.0, 16.0, 8.0, 1.0, 0.0, 0.0, 4.0, 8.0, 13.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 9.0, 0.0, 0.0, 0.0], [0.0, 0.0, 2.0, 12.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 16.0, 16.0, 10.0, 1.0, 0.0, 0.0, 2.0, 15.0, 6.0, 1.0, 10.0, 8.0, 0.0, 0.0, 0.0, 10.0, 10.0, 0.0, 9.0, 9.0, 0.0, 0.0, 0.0, 2.0, 12.0, 16.0, 15.0, 1.0, 0.0], [0.0, 0.0, 4.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 15.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 14.0, 9.0, 8.0, 6.0, 1.0, 0.0, 0.0, 7.0, 14.0, 7.0, 5.0, 12.0, 8.0, 0.0, 0.0, 2.0, 16.0, 4.0, 1.0, 12.0, 6.0, 0.0, 0.0, 0.0, 5.0, 14.0, 16.0, 11.0, 0.0, 0.0], [0.0, 0.0, 2.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 15.0, 5.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 7.0, 5.0, 1.0, 0.0, 0.0, 0.0, 7.0, 16.0, 16.0, 16.0, 15.0, 3.0, 0.0, 0.0, 5.0, 16.0, 12.0, 4.0, 10.0, 14.0, 0.0, 0.0, 0.0, 14.0, 13.0, 5.0, 10.0, 15.0, 0.0, 0.0, 0.0, 3.0, 13.0, 16.0, 16.0, 7.0, 0.0], [0.0, 0.0, 0.0, 6.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 15.0, 4.0, 0.0, 0.0, 0.0, 0.0, 1.0, 13.0, 9.0, 4.0, 7.0, 0.0, 0.0, 0.0, 7.0, 13.0, 1.0, 13.0, 10.0, 6.0, 0.0, 0.0, 14.0, 14.0, 8.0, 16.0, 16.0, 10.0, 0.0, 0.0, 7.0, 15.0, 16.0, 16.0, 7.0, 1.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 13.0, 0.0, 0.0, 0.0], [0.0, 1.0, 10.0, 13.0, 9.0, 2.0, 0.0, 0.0, 0.0, 2.0, 12.0, 4.0, 12.0, 10.0, 0.0, 0.0, 0.0, 0.0, 14.0, 5.0, 11.0, 11.0, 0.0, 0.0, 0.0, 0.0, 2.0, 8.0, 8.0, 15.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 12.0, 0.0, 0.0, 0.0, 4.0, 1.0, 0.0, 8.0, 11.0, 0.0, 0.0, 0.0, 11.0, 16.0, 16.0, 14.0, 3.0, 0.0], [0.0, 0.0, 0.0, 1.0, 9.0, 16.0, 7.0, 0.0, 0.0, 0.0, 4.0, 13.0, 16.0, 16.0, 2.0, 0.0, 0.0, 8.0, 16.0, 15.0, 13.0, 16.0, 3.0, 0.0, 0.0, 3.0, 7.0, 0.0, 8.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 16.0, 7.0, 0.0], [0.0, 0.0, 7.0, 8.0, 6.0, 8.0, 4.0, 0.0, 0.0, 0.0, 12.0, 13.0, 12.0, 12.0, 5.0, 0.0, 0.0, 0.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 15.0, 12.0, 9.0, 2.0, 0.0, 0.0, 0.0, 3.0, 8.0, 7.0, 8.0, 15.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 8.0, 0.0, 0.0, 0.0, 6.0, 0.0, 1.0, 13.0, 4.0, 0.0, 0.0, 0.0, 7.0, 15.0, 15.0, 5.0, 0.0, 0.0], [0.0, 0.0, 7.0, 16.0, 15.0, 1.0, 0.0, 0.0, 0.0, 5.0, 16.0, 13.0, 16.0, 8.0, 0.0, 0.0, 0.0, 9.0, 11.0, 0.0, 4.0, 16.0, 4.0, 0.0, 0.0, 12.0, 8.0, 0.0, 0.0, 11.0, 11.0, 0.0, 0.0, 11.0, 8.0, 0.0, 0.0, 8.0, 12.0, 0.0, 0.0, 8.0, 13.0, 0.0, 0.0, 12.0, 10.0, 0.0, 0.0, 2.0, 16.0, 9.0, 12.0, 15.0, 3.0, 0.0, 0.0, 0.0, 8.0, 16.0, 13.0, 5.0, 0.0, 0.0], [0.0, 4.0, 15.0, 14.0, 11.0, 2.0, 0.0, 0.0, 0.0, 7.0, 10.0, 1.0, 11.0, 11.0, 0.0, 0.0, 0.0, 1.0, 13.0, 4.0, 13.0, 16.0, 2.0, 0.0, 0.0, 0.0, 3.0, 11.0, 7.0, 9.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 8.0, 0.0, 0.0, 3.0, 12.0, 0.0, 3.0, 13.0, 5.0, 0.0, 0.0, 2.0, 13.0, 16.0, 16.0, 8.0, 0.0, 0.0], [0.0, 0.0, 11.0, 12.0, 13.0, 14.0, 4.0, 0.0, 0.0, 0.0, 13.0, 8.0, 4.0, 4.0, 2.0, 0.0, 0.0, 0.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 12.0, 6.0, 3.0, 0.0, 0.0, 0.0, 0.0, 5.0, 12.0, 12.0, 13.0, 11.0, 0.0, 0.0, 0.0, 0.0, 2.0, 0.0, 0.0, 13.0, 0.0, 0.0, 0.0, 4.0, 11.0, 0.0, 3.0, 15.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 16.0, 6.0, 0.0, 0.0], [0.0, 2.0, 15.0, 13.0, 1.0, 0.0, 0.0, 0.0, 0.0, 13.0, 12.0, 14.0, 7.0, 0.0, 0.0, 0.0, 0.0, 8.0, 6.0, 6.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 13.0, 14.0, 12.0, 0.0, 0.0, 3.0, 16.0, 14.0, 8.0, 8.0, 7.0, 0.0], [0.0, 0.0, 2.0, 9.0, 13.0, 12.0, 2.0, 0.0, 0.0, 1.0, 14.0, 13.0, 7.0, 10.0, 6.0, 0.0, 0.0, 0.0, 13.0, 8.0, 1.0, 7.0, 7.0, 0.0, 0.0, 0.0, 3.0, 13.0, 14.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0, 9.0, 5.0, 8.0, 5.0, 0.0, 0.0, 0.0, 0.0, 13.0, 4.0, 13.0, 2.0, 0.0, 0.0, 0.0, 0.0, 13.0, 15.0, 6.0, 0.0, 0.0], [0.0, 4.0, 16.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 11.0, 14.0, 11.0, 11.0, 0.0, 0.0, 0.0, 0.0, 11.0, 7.0, 2.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 8.0, 5.0, 3.0, 0.0, 0.0, 0.0, 12.0, 16.0, 16.0, 16.0, 16.0, 0.0, 0.0, 3.0, 16.0, 15.0, 8.0, 7.0, 4.0, 0.0], [0.0, 0.0, 10.0, 13.0, 5.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 16.0, 16.0, 10.0, 0.0, 0.0, 0.0, 8.0, 16.0, 1.0, 6.0, 16.0, 5.0, 0.0, 0.0, 8.0, 11.0, 0.0, 0.0, 9.0, 12.0, 0.0, 0.0, 10.0, 8.0, 0.0, 0.0, 8.0, 12.0, 0.0, 0.0, 8.0, 11.0, 0.0, 0.0, 8.0, 11.0, 0.0, 0.0, 3.0, 16.0, 10.0, 8.0, 15.0, 9.0, 0.0, 0.0, 0.0, 9.0, 16.0, 16.0, 10.0, 1.0, 0.0], [0.0, 0.0, 2.0, 11.0, 10.0, 1.0, 0.0, 0.0, 0.0, 0.0, 10.0, 13.0, 14.0, 13.0, 0.0, 0.0, 0.0, 0.0, 13.0, 0.0, 0.0, 14.0, 5.0, 0.0, 0.0, 3.0, 9.0, 0.0, 0.0, 9.0, 6.0, 0.0, 0.0, 5.0, 9.0, 0.0, 0.0, 5.0, 8.0, 0.0, 0.0, 6.0, 12.0, 0.0, 0.0, 8.0, 4.0, 0.0, 0.0, 0.0, 14.0, 11.0, 5.0, 14.0, 1.0, 0.0, 0.0, 0.0, 3.0, 13.0, 14.0, 5.0, 0.0, 0.0], [0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 7.0, 0.0, 0.0, 1.0, 5.0, 11.0, 16.0, 16.0, 8.0, 0.0, 0.0, 11.0, 16.0, 16.0, 13.0, 16.0, 8.0, 0.0, 0.0, 3.0, 7.0, 1.0, 4.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 8.0, 0.0], [0.0, 0.0, 2.0, 13.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 12.0, 12.0, 7.0, 16.0, 3.0, 0.0, 0.0, 1.0, 14.0, 3.0, 0.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 4.0, 10.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 13.0, 16.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 5.0, 13.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 4.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 14.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 13.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 7.0, 4.0, 2.0, 0.0, 0.0, 0.0, 8.0, 16.0, 11.0, 9.0, 15.0, 5.0, 0.0, 0.0, 5.0, 14.0, 1.0, 0.0, 10.0, 9.0, 0.0, 0.0, 0.0, 11.0, 12.0, 5.0, 13.0, 5.0, 0.0, 0.0, 0.0, 1.0, 13.0, 16.0, 9.0, 0.0, 0.0], [0.0, 1.0, 9.0, 15.0, 13.0, 4.0, 0.0, 0.0, 0.0, 5.0, 12.0, 4.0, 10.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 15.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 13.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 9.0, 14.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 8.0, 0.0, 0.0, 0.0, 10.0, 6.0, 4.0, 11.0, 7.0, 0.0, 0.0, 0.0, 8.0, 15.0, 16.0, 9.0, 1.0, 0.0], [0.0, 5.0, 16.0, 13.0, 1.0, 0.0, 0.0, 0.0, 0.0, 9.0, 14.0, 14.0, 4.0, 0.0, 0.0, 0.0, 0.0, 9.0, 7.0, 12.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 15.0, 16.0, 16.0, 16.0, 11.0, 0.0, 0.0, 5.0, 16.0, 14.0, 10.0, 8.0, 6.0, 0.0], [0.0, 0.0, 0.0, 3.0, 12.0, 12.0, 2.0, 0.0, 0.0, 0.0, 7.0, 15.0, 16.0, 16.0, 0.0, 0.0, 0.0, 4.0, 15.0, 9.0, 14.0, 16.0, 3.0, 0.0, 0.0, 2.0, 0.0, 0.0, 14.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 14.0, 1.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 13.0, 2.0, 0.0], [0.0, 0.0, 2.0, 13.0, 16.0, 14.0, 1.0, 0.0, 0.0, 0.0, 11.0, 12.0, 7.0, 16.0, 3.0, 0.0, 0.0, 0.0, 9.0, 3.0, 2.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 11.0, 0.0, 0.0, 0.0, 0.0, 2.0, 11.0, 15.0, 13.0, 3.0, 0.0, 0.0, 0.0, 4.0, 15.0, 16.0, 13.0, 3.0, 0.0, 0.0, 0.0, 0.0, 14.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 15.0, 4.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 7.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 10.0, 2.0, 6.0, 0.0, 0.0, 0.0, 3.0, 16.0, 3.0, 9.0, 13.0, 2.0, 0.0, 0.0, 11.0, 12.0, 6.0, 14.0, 16.0, 10.0, 0.0, 0.0, 11.0, 16.0, 16.0, 16.0, 10.0, 3.0, 0.0, 0.0, 2.0, 8.0, 10.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 13.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 13.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 10.0, 7.0, 1.0, 0.0, 0.0, 0.0, 6.0, 16.0, 12.0, 13.0, 16.0, 6.0, 0.0, 0.0, 0.0, 16.0, 4.0, 0.0, 6.0, 12.0, 0.0, 0.0, 0.0, 12.0, 10.0, 2.0, 11.0, 9.0, 0.0, 0.0, 0.0, 1.0, 13.0, 16.0, 15.0, 3.0, 0.0], [0.0, 0.0, 13.0, 16.0, 16.0, 5.0, 0.0, 0.0, 0.0, 5.0, 15.0, 6.0, 11.0, 13.0, 0.0, 0.0, 0.0, 0.0, 2.0, 2.0, 13.0, 8.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 15.0, 2.0, 0.0, 0.0, 0.0, 0.0, 3.0, 11.0, 15.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 15.0, 11.0, 0.0, 0.0, 0.0, 3.0, 4.0, 9.0, 16.0, 6.0, 0.0, 0.0, 0.0, 15.0, 16.0, 16.0, 10.0, 0.0, 0.0], [0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 5.0, 15.0, 16.0, 2.0, 0.0, 0.0, 3.0, 12.0, 16.0, 16.0, 14.0, 0.0, 0.0, 0.0, 10.0, 16.0, 15.0, 16.0, 15.0, 0.0, 0.0, 0.0, 1.0, 4.0, 0.0, 16.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 16.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 16.0, 6.0, 0.0], [0.0, 0.0, 11.0, 16.0, 12.0, 2.0, 0.0, 0.0, 0.0, 7.0, 16.0, 6.0, 10.0, 13.0, 0.0, 0.0, 0.0, 0.0, 2.0, 0.0, 3.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 12.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 12.0, 0.0, 0.0, 0.0, 0.0, 3.0, 0.0, 3.0, 15.0, 7.0, 0.0, 0.0, 3.0, 16.0, 7.0, 6.0, 14.0, 8.0, 0.0, 0.0, 1.0, 9.0, 15.0, 16.0, 12.0, 1.0, 0.0], [0.0, 0.0, 5.0, 13.0, 14.0, 5.0, 0.0, 0.0, 0.0, 2.0, 15.0, 6.0, 11.0, 15.0, 1.0, 0.0, 0.0, 1.0, 16.0, 5.0, 8.0, 16.0, 4.0, 0.0, 0.0, 0.0, 4.0, 12.0, 9.0, 13.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 7.0, 0.0, 0.0, 0.0, 7.0, 7.0, 5.0, 15.0, 2.0, 0.0, 0.0, 0.0, 5.0, 15.0, 16.0, 7.0, 0.0, 0.0], [0.0, 0.0, 0.0, 0.0, 5.0, 15.0, 3.0, 0.0, 0.0, 0.0, 0.0, 3.0, 15.0, 16.0, 4.0, 0.0, 0.0, 3.0, 13.0, 16.0, 14.0, 16.0, 1.0, 0.0, 0.0, 2.0, 7.0, 4.0, 8.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 15.0, 2.0, 0.0], [0.0, 0.0, 2.0, 13.0, 16.0, 13.0, 4.0, 0.0, 0.0, 0.0, 9.0, 11.0, 9.0, 16.0, 7.0, 0.0, 0.0, 2.0, 15.0, 2.0, 2.0, 15.0, 2.0, 0.0, 0.0, 3.0, 3.0, 0.0, 8.0, 13.0, 2.0, 0.0, 0.0, 0.0, 1.0, 13.0, 16.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 11.0, 13.0, 5.0, 1.0, 0.0, 0.0, 0.0, 0.0, 11.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 15.0, 2.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 12.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 15.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 7.0, 1.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 14.0, 16.0, 13.0, 1.0, 0.0, 0.0, 1.0, 16.0, 0.0, 1.0, 10.0, 11.0, 0.0, 0.0, 0.0, 14.0, 9.0, 1.0, 8.0, 12.0, 0.0, 0.0, 0.0, 2.0, 10.0, 16.0, 16.0, 5.0, 0.0], [0.0, 0.0, 3.0, 12.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 12.0, 9.0, 13.0, 16.0, 9.0, 0.0, 0.0, 3.0, 16.0, 5.0, 0.0, 8.0, 12.0, 0.0, 0.0, 0.0, 9.0, 16.0, 10.0, 13.0, 2.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 9.0, 16.0, 0.0, 0.0, 0.0, 0.0, 1.0, 15.0, 2.0, 12.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 16.0, 6.0, 0.0, 0.0], [0.0, 0.0, 0.0, 10.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 2.0, 3.0, 0.0, 0.0, 0.0, 0.0, 13.0, 8.0, 7.0, 14.0, 0.0, 0.0, 0.0, 7.0, 15.0, 0.0, 13.0, 14.0, 5.0, 0.0, 0.0, 14.0, 15.0, 14.0, 16.0, 16.0, 9.0, 0.0, 0.0, 13.0, 16.0, 15.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 1.0, 9.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 10.0, 0.0, 0.0, 0.0], [0.0, 0.0, 5.0, 12.0, 13.0, 3.0, 0.0, 0.0, 0.0, 4.0, 16.0, 9.0, 8.0, 12.0, 0.0, 0.0, 0.0, 2.0, 3.0, 0.0, 5.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 11.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 14.0, 15.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 11.0, 0.0, 0.0, 0.0, 10.0, 6.0, 4.0, 9.0, 11.0, 0.0, 0.0, 0.0, 6.0, 16.0, 16.0, 14.0, 2.0, 0.0], [0.0, 0.0, 0.0, 0.0, 5.0, 15.0, 6.0, 0.0, 0.0, 0.0, 0.0, 4.0, 15.0, 16.0, 4.0, 0.0, 0.0, 3.0, 11.0, 16.0, 10.0, 16.0, 4.0, 0.0, 0.0, 4.0, 11.0, 3.0, 0.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 15.0, 4.0, 0.0], [0.0, 0.0, 0.0, 14.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 9.0, 9.0, 7.0, 0.0, 0.0, 0.0, 6.0, 15.0, 1.0, 14.0, 11.0, 6.0, 0.0, 0.0, 13.0, 14.0, 8.0, 16.0, 16.0, 7.0, 0.0, 0.0, 8.0, 16.0, 16.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 1.0, 11.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 14.0, 0.0, 0.0, 0.0], [0.0, 0.0, 4.0, 12.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 14.0, 15.0, 7.0, 0.0, 0.0, 0.0, 2.0, 14.0, 1.0, 2.0, 16.0, 0.0, 0.0, 0.0, 4.0, 8.0, 0.0, 0.0, 10.0, 4.0, 0.0, 0.0, 7.0, 8.0, 0.0, 0.0, 6.0, 8.0, 0.0, 0.0, 4.0, 11.0, 0.0, 0.0, 5.0, 8.0, 0.0, 0.0, 0.0, 14.0, 11.0, 3.0, 13.0, 5.0, 0.0, 0.0, 0.0, 2.0, 11.0, 16.0, 11.0, 0.0, 0.0], [0.0, 0.0, 9.0, 12.0, 12.0, 13.0, 7.0, 0.0, 0.0, 0.0, 15.0, 5.0, 5.0, 4.0, 2.0, 0.0, 0.0, 4.0, 15.0, 10.0, 4.0, 0.0, 0.0, 0.0, 0.0, 2.0, 11.0, 11.0, 15.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 7.0, 0.0, 0.0, 5.0, 11.0, 4.0, 5.0, 14.0, 1.0, 0.0, 0.0, 0.0, 9.0, 16.0, 13.0, 3.0, 0.0, 0.0], [0.0, 0.0, 8.0, 15.0, 12.0, 4.0, 0.0, 0.0, 0.0, 5.0, 14.0, 4.0, 11.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 14.0, 3.0, 0.0, 0.0, 0.0, 0.0, 2.0, 15.0, 14.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 13.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 5.0, 0.0, 0.0, 0.0, 12.0, 2.0, 3.0, 12.0, 7.0, 0.0, 0.0, 0.0, 13.0, 16.0, 15.0, 8.0, 0.0, 0.0], [0.0, 0.0, 0.0, 10.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 14.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 8.0, 2.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 16.0, 16.0, 15.0, 3.0, 0.0, 0.0, 0.0, 16.0, 2.0, 0.0, 8.0, 12.0, 0.0, 0.0, 0.0, 11.0, 12.0, 5.0, 11.0, 12.0, 0.0, 0.0, 0.0, 1.0, 8.0, 16.0, 15.0, 2.0, 0.0], [0.0, 2.0, 11.0, 13.0, 11.0, 2.0, 0.0, 0.0, 0.0, 7.0, 12.0, 4.0, 13.0, 8.0, 0.0, 0.0, 0.0, 6.0, 13.0, 5.0, 14.0, 13.0, 0.0, 0.0, 0.0, 0.0, 3.0, 11.0, 9.0, 11.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 11.0, 0.0, 0.0, 0.0, 2.0, 0.0, 1.0, 9.0, 10.0, 0.0, 0.0, 1.0, 15.0, 16.0, 16.0, 14.0, 2.0, 0.0], [0.0, 0.0, 0.0, 7.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 15.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 5.0, 4.0, 1.0, 0.0, 0.0, 0.0, 5.0, 16.0, 16.0, 16.0, 12.0, 3.0, 0.0, 0.0, 1.0, 15.0, 4.0, 1.0, 8.0, 12.0, 0.0, 0.0, 0.0, 8.0, 14.0, 5.0, 5.0, 15.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 16.0, 11.0, 0.0], [0.0, 0.0, 0.0, 1.0, 10.0, 16.0, 8.0, 0.0, 0.0, 1.0, 8.0, 15.0, 16.0, 16.0, 9.0, 0.0, 0.0, 10.0, 16.0, 13.0, 11.0, 16.0, 8.0, 0.0, 0.0, 1.0, 4.0, 0.0, 10.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 7.0, 0.0], [0.0, 0.0, 3.0, 13.0, 16.0, 15.0, 6.0, 0.0, 0.0, 0.0, 13.0, 13.0, 9.0, 16.0, 10.0, 0.0, 0.0, 0.0, 16.0, 9.0, 0.0, 14.0, 6.0, 0.0, 0.0, 0.0, 14.0, 2.0, 6.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 15.0, 15.0, 6.0, 0.0, 0.0, 0.0, 0.0, 16.0, 15.0, 10.0, 2.0, 0.0, 0.0, 0.0, 0.0, 13.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 7.0, 0.0, 0.0, 0.0], [0.0, 0.0, 9.0, 9.0, 12.0, 12.0, 0.0, 0.0, 0.0, 0.0, 14.0, 10.0, 8.0, 3.0, 0.0, 0.0, 0.0, 0.0, 13.0, 6.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 16.0, 15.0, 12.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 12.0, 0.0, 0.0, 0.0, 5.0, 1.0, 2.0, 11.0, 8.0, 0.0, 0.0, 0.0, 10.0, 16.0, 16.0, 11.0, 1.0, 0.0], [0.0, 0.0, 0.0, 9.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 8.0, 2.0, 7.0, 0.0, 0.0, 0.0, 4.0, 16.0, 3.0, 13.0, 13.0, 3.0, 0.0, 0.0, 14.0, 13.0, 8.0, 16.0, 16.0, 10.0, 0.0, 0.0, 14.0, 16.0, 16.0, 16.0, 9.0, 1.0, 0.0, 0.0, 2.0, 4.0, 9.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 15.0, 2.0, 0.0, 0.0], [0.0, 0.0, 2.0, 15.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 15.0, 0.0, 1.0, 0.0, 0.0, 0.0, 0.0, 14.0, 9.0, 9.0, 9.0, 0.0, 0.0, 0.0, 8.0, 16.0, 4.0, 16.0, 13.0, 12.0, 0.0, 0.0, 13.0, 16.0, 16.0, 16.0, 15.0, 7.0, 0.0, 0.0, 3.0, 8.0, 13.0, 12.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 7.0, 0.0, 0.0, 0.0], [0.0, 0.0, 1.0, 12.0, 16.0, 16.0, 12.0, 0.0, 0.0, 0.0, 7.0, 16.0, 11.0, 12.0, 9.0, 0.0, 0.0, 0.0, 6.0, 7.0, 0.0, 14.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 8.0, 15.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 5.0, 0.0, 0.0, 0.0], [0.0, 3.0, 15.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 14.0, 13.0, 10.0, 16.0, 2.0, 0.0, 0.0, 0.0, 5.0, 3.0, 2.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 8.0, 0.0, 2.0, 0.0, 0.0, 0.0, 8.0, 16.0, 14.0, 16.0, 15.0, 0.0, 0.0, 2.0, 16.0, 16.0, 15.0, 12.0, 9.0, 0.0], [0.0, 0.0, 1.0, 10.0, 16.0, 15.0, 5.0, 0.0, 0.0, 0.0, 12.0, 12.0, 9.0, 9.0, 10.0, 0.0, 0.0, 4.0, 16.0, 1.0, 0.0, 7.0, 7.0, 0.0, 0.0, 4.0, 14.0, 13.0, 8.0, 11.0, 0.0, 0.0, 0.0, 0.0, 1.0, 6.0, 16.0, 14.0, 1.0, 0.0, 0.0, 0.0, 0.0, 8.0, 11.0, 14.0, 5.0, 0.0, 0.0, 0.0, 0.0, 12.0, 8.0, 15.0, 2.0, 0.0, 0.0, 0.0, 0.0, 10.0, 15.0, 5.0, 0.0, 0.0], [0.0, 1.0, 13.0, 16.0, 15.0, 5.0, 0.0, 0.0, 0.0, 4.0, 16.0, 7.0, 14.0, 12.0, 0.0, 0.0, 0.0, 3.0, 12.0, 2.0, 11.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 1.0, 11.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 14.0, 16.0, 7.0, 0.0, 0.0, 1.0, 16.0, 16.0, 15.0, 12.0, 5.0, 0.0], [0.0, 2.0, 15.0, 13.0, 2.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 13.0, 15.0, 0.0, 0.0, 0.0, 0.0, 11.0, 11.0, 5.0, 16.0, 4.0, 0.0, 0.0, 0.0, 1.0, 1.0, 7.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 8.0, 8.0, 2.0, 0.0, 0.0, 0.0, 12.0, 16.0, 16.0, 16.0, 11.0, 0.0, 0.0, 2.0, 15.0, 13.0, 6.0, 4.0, 1.0, 0.0], [0.0, 0.0, 15.0, 14.0, 15.0, 9.0, 0.0, 0.0, 0.0, 0.0, 12.0, 10.0, 7.0, 6.0, 4.0, 0.0, 0.0, 1.0, 14.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 12.0, 10.0, 4.0, 0.0, 0.0, 0.0, 4.0, 11.0, 8.0, 11.0, 15.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 7.0, 0.0, 0.0, 4.0, 16.0, 10.0, 11.0, 14.0, 1.0, 0.0, 0.0, 1.0, 10.0, 16.0, 15.0, 4.0, 0.0, 0.0], [0.0, 0.0, 2.0, 13.0, 16.0, 16.0, 7.0, 0.0, 0.0, 0.0, 12.0, 15.0, 12.0, 16.0, 10.0, 0.0, 0.0, 0.0, 16.0, 9.0, 0.0, 14.0, 6.0, 0.0, 0.0, 0.0, 3.0, 0.0, 4.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 10.0, 14.0, 16.0, 6.0, 0.0, 0.0, 0.0, 3.0, 16.0, 16.0, 11.0, 2.0, 0.0, 0.0, 0.0, 0.0, 9.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 15.0, 6.0, 0.0, 0.0, 0.0], [0.0, 0.0, 10.0, 8.0, 8.0, 4.0, 0.0, 0.0, 0.0, 8.0, 15.0, 12.0, 14.0, 14.0, 0.0, 0.0, 0.0, 9.0, 11.0, 0.0, 10.0, 16.0, 4.0, 0.0, 0.0, 1.0, 9.0, 12.0, 10.0, 12.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 7.0, 0.0, 0.0, 0.0, 11.0, 6.0, 4.0, 15.0, 4.0, 0.0, 0.0, 0.0, 13.0, 16.0, 16.0, 7.0, 0.0, 0.0], [0.0, 1.0, 13.0, 14.0, 16.0, 14.0, 3.0, 0.0, 0.0, 4.0, 14.0, 8.0, 7.0, 3.0, 0.0, 0.0, 0.0, 6.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 15.0, 11.0, 5.0, 0.0, 0.0, 0.0, 2.0, 7.0, 7.0, 10.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 0.0, 0.0, 0.0, 0.0, 7.0, 5.0, 13.0, 11.0, 0.0, 0.0, 0.0, 0.0, 15.0, 16.0, 10.0, 1.0, 0.0, 0.0], [0.0, 0.0, 0.0, 13.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 15.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 9.0, 6.0, 4.0, 0.0, 0.0, 0.0, 5.0, 16.0, 3.0, 13.0, 8.0, 1.0, 0.0, 0.0, 14.0, 16.0, 9.0, 16.0, 16.0, 9.0, 0.0, 0.0, 12.0, 16.0, 16.0, 16.0, 11.0, 3.0, 0.0, 0.0, 0.0, 4.0, 12.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 10.0, 0.0, 0.0, 0.0], [0.0, 0.0, 1.0, 8.0, 15.0, 11.0, 3.0, 0.0, 0.0, 0.0, 11.0, 12.0, 9.0, 14.0, 11.0, 0.0, 0.0, 2.0, 14.0, 0.0, 0.0, 13.0, 6.0, 0.0, 0.0, 7.0, 15.0, 8.0, 12.0, 9.0, 0.0, 0.0, 0.0, 0.0, 6.0, 13.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 9.0, 15.0, 4.0, 0.0, 0.0, 0.0, 0.0, 16.0, 8.0, 14.0, 3.0, 0.0, 0.0, 0.0, 0.0, 11.0, 15.0, 8.0, 0.0, 0.0], [0.0, 0.0, 2.0, 11.0, 14.0, 12.0, 3.0, 0.0, 0.0, 0.0, 14.0, 14.0, 9.0, 15.0, 8.0, 0.0, 0.0, 5.0, 12.0, 0.0, 5.0, 15.0, 2.0, 0.0, 0.0, 3.0, 16.0, 11.0, 15.0, 3.0, 0.0, 0.0, 0.0, 0.0, 1.0, 14.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 5.0, 15.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 10.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 13.0, 2.0, 0.0, 0.0], [0.0, 0.0, 0.0, 7.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 14.0, 6.0, 5.0, 0.0, 0.0, 0.0, 4.0, 16.0, 7.0, 14.0, 13.0, 2.0, 0.0, 0.0, 10.0, 16.0, 13.0, 16.0, 16.0, 10.0, 0.0, 0.0, 8.0, 15.0, 14.0, 16.0, 10.0, 1.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 15.0, 1.0, 0.0, 0.0], [0.0, 0.0, 6.0, 16.0, 16.0, 11.0, 0.0, 0.0, 0.0, 1.0, 16.0, 8.0, 8.0, 16.0, 6.0, 0.0, 0.0, 0.0, 8.0, 16.0, 14.0, 16.0, 11.0, 0.0, 0.0, 0.0, 1.0, 4.0, 3.0, 10.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 14.0, 1.0, 0.0, 0.0, 0.0, 4.0, 7.0, 11.0, 9.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 10.0, 1.0, 0.0, 0.0], [0.0, 0.0, 5.0, 12.0, 9.0, 1.0, 0.0, 0.0, 0.0, 0.0, 14.0, 14.0, 13.0, 13.0, 0.0, 0.0, 0.0, 3.0, 12.0, 1.0, 1.0, 13.0, 4.0, 0.0, 0.0, 7.0, 8.0, 0.0, 0.0, 6.0, 8.0, 0.0, 0.0, 8.0, 8.0, 0.0, 0.0, 5.0, 8.0, 0.0, 0.0, 5.0, 10.0, 0.0, 0.0, 11.0, 4.0, 0.0, 0.0, 1.0, 15.0, 9.0, 11.0, 13.0, 0.0, 0.0, 0.0, 0.0, 7.0, 15.0, 12.0, 2.0, 0.0, 0.0], [0.0, 0.0, 2.0, 9.0, 15.0, 12.0, 5.0, 0.0, 0.0, 0.0, 12.0, 11.0, 11.0, 12.0, 11.0, 0.0, 0.0, 1.0, 16.0, 1.0, 0.0, 8.0, 11.0, 0.0, 0.0, 3.0, 15.0, 12.0, 10.0, 15.0, 2.0, 0.0, 0.0, 0.0, 1.0, 11.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 15.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 15.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 13.0, 2.0, 0.0, 0.0], [0.0, 0.0, 9.0, 13.0, 15.0, 10.0, 1.0, 0.0, 0.0, 1.0, 15.0, 5.0, 7.0, 16.0, 5.0, 0.0, 0.0, 0.0, 15.0, 7.0, 10.0, 16.0, 6.0, 0.0, 0.0, 0.0, 2.0, 7.0, 7.0, 10.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 5.0, 0.0, 0.0, 0.0, 14.0, 6.0, 10.0, 12.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 12.0, 1.0, 0.0, 0.0], [0.0, 0.0, 1.0, 10.0, 11.0, 2.0, 0.0, 0.0, 0.0, 0.0, 12.0, 12.0, 8.0, 15.0, 4.0, 0.0, 0.0, 6.0, 11.0, 0.0, 1.0, 12.0, 7.0, 0.0, 0.0, 4.0, 16.0, 7.0, 15.0, 12.0, 0.0, 0.0, 0.0, 0.0, 5.0, 15.0, 15.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 7.0, 14.0, 0.0, 0.0, 0.0, 0.0, 4.0, 12.0, 7.0, 10.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 16.0, 3.0, 0.0, 0.0], [0.0, 0.0, 4.0, 16.0, 15.0, 2.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 13.0, 13.0, 0.0, 0.0, 0.0, 1.0, 16.0, 8.0, 1.0, 16.0, 2.0, 0.0, 0.0, 7.0, 16.0, 6.0, 0.0, 11.0, 8.0, 0.0, 0.0, 7.0, 16.0, 4.0, 0.0, 11.0, 8.0, 0.0, 0.0, 4.0, 15.0, 1.0, 1.0, 15.0, 7.0, 0.0, 0.0, 0.0, 13.0, 12.0, 14.0, 15.0, 1.0, 0.0, 0.0, 0.0, 3.0, 14.0, 16.0, 6.0, 0.0, 0.0], [0.0, 0.0, 0.0, 14.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 12.0, 16.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 4.0, 15.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 10.0, 0.0, 0.0, 0.0], [0.0, 0.0, 5.0, 13.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 12.0, 14.0, 2.0, 0.0, 0.0, 0.0, 0.0, 12.0, 0.0, 12.0, 6.0, 0.0, 0.0, 0.0, 0.0, 6.0, 1.0, 15.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 14.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 8.0, 2.0, 6.0, 3.0, 0.0, 0.0, 4.0, 8.0, 10.0, 16.0, 12.0, 1.0], [0.0, 0.0, 4.0, 16.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 1.0, 9.0, 10.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 5.0, 15.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 10.0, 0.0, 0.0, 0.0, 0.0, 11.0, 8.0, 12.0, 14.0, 1.0, 0.0, 0.0, 0.0, 5.0, 13.0, 16.0, 15.0, 0.0, 0.0], [0.0, 0.0, 1.0, 15.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 11.0, 0.0, 7.0, 4.0, 0.0, 0.0, 8.0, 16.0, 10.0, 6.0, 16.0, 9.0, 0.0, 0.0, 6.0, 16.0, 16.0, 16.0, 16.0, 4.0, 0.0, 0.0, 0.0, 5.0, 11.0, 16.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 15.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 11.0, 0.0, 0.0, 0.0], [0.0, 0.0, 11.0, 14.0, 16.0, 10.0, 0.0, 0.0, 0.0, 6.0, 15.0, 8.0, 6.0, 4.0, 0.0, 0.0, 0.0, 5.0, 12.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 16.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0, 3.0, 11.0, 11.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 16.0, 3.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 0.0, 13.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 15.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 11.0, 2.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 16.0, 14.0, 1.0, 0.0, 0.0, 0.0, 5.0, 16.0, 8.0, 8.0, 10.0, 0.0, 0.0, 0.0, 9.0, 16.0, 4.0, 0.0, 15.0, 0.0, 0.0, 0.0, 2.0, 9.0, 11.0, 13.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 10.0, 0.0], [0.0, 3.0, 13.0, 16.0, 13.0, 0.0, 0.0, 0.0, 0.0, 9.0, 13.0, 8.0, 16.0, 5.0, 1.0, 0.0, 0.0, 0.0, 8.0, 14.0, 16.0, 16.0, 5.0, 0.0, 0.0, 0.0, 8.0, 16.0, 15.0, 2.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 15.0, 3.0, 0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 1.0, 8.0, 13.0, 1.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 16.0, 9.0, 0.0, 0.0, 0.0, 1.0, 15.0, 16.0, 16.0, 10.0, 0.0, 0.0, 0.0, 6.0, 15.0, 14.0, 6.0, 0.0, 0.0, 0.0, 0.0, 3.0, 7.0, 6.0, 6.0, 0.0, 0.0, 0.0, 0.0, 1.0, 10.0, 2.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 11.0, 13.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 12.0, 5.0, 0.0, 0.0], [0.0, 0.0, 0.0, 1.0, 9.0, 14.0, 7.0, 0.0, 0.0, 0.0, 5.0, 14.0, 9.0, 8.0, 10.0, 0.0, 0.0, 2.0, 14.0, 16.0, 11.0, 13.0, 3.0, 0.0, 0.0, 3.0, 16.0, 16.0, 16.0, 16.0, 5.0, 0.0, 0.0, 0.0, 6.0, 7.0, 1.0, 11.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 13.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 0.0, 0.0, 0.0], [0.0, 0.0, 2.0, 16.0, 12.0, 1.0, 0.0, 0.0, 0.0, 0.0, 11.0, 15.0, 13.0, 11.0, 0.0, 0.0, 0.0, 2.0, 16.0, 9.0, 0.0, 14.0, 2.0, 0.0, 0.0, 4.0, 16.0, 12.0, 0.0, 11.0, 5.0, 0.0, 0.0, 4.0, 16.0, 6.0, 0.0, 12.0, 7.0, 0.0, 0.0, 0.0, 15.0, 1.0, 1.0, 15.0, 9.0, 0.0, 0.0, 0.0, 10.0, 9.0, 10.0, 15.0, 2.0, 0.0, 0.0, 0.0, 2.0, 13.0, 16.0, 8.0, 0.0, 0.0], [0.0, 0.0, 1.0, 15.0, 14.0, 1.0, 0.0, 0.0, 0.0, 2.0, 13.0, 16.0, 16.0, 3.0, 0.0, 0.0, 0.0, 5.0, 16.0, 16.0, 16.0, 4.0, 0.0, 0.0, 0.0, 4.0, 16.0, 16.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 11.0, 0.0, 0.0, 0.0], [0.0, 0.0, 2.0, 10.0, 12.0, 2.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 13.0, 10.0, 0.0, 0.0, 0.0, 0.0, 9.0, 7.0, 2.0, 15.0, 0.0, 0.0, 0.0, 0.0, 3.0, 2.0, 3.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 10.0, 0.0, 0.0, 0.0, 0.0, 2.0, 7.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 16.0, 16.0, 16.0, 3.0, 0.0, 0.0, 3.0, 13.0, 9.0, 8.0, 4.0, 0.0], [0.0, 0.0, 3.0, 11.0, 13.0, 15.0, 3.0, 0.0, 0.0, 4.0, 16.0, 14.0, 11.0, 16.0, 8.0, 0.0, 0.0, 2.0, 5.0, 0.0, 14.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 12.0, 0.0, 0.0, 0.0, 0.0, 8.0, 11.0, 15.0, 8.0, 0.0, 0.0, 0.0, 0.0, 2.0, 12.0, 14.0, 3.0, 0.0, 0.0], [0.0, 0.0, 1.0, 12.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 14.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 7.0, 0.0, 3.0, 5.0, 0.0, 0.0, 5.0, 16.0, 0.0, 4.0, 15.0, 4.0, 0.0, 0.0, 5.0, 16.0, 16.0, 16.0, 15.0, 2.0, 0.0, 0.0, 0.0, 11.0, 12.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 10.0, 0.0, 0.0, 0.0], [0.0, 0.0, 4.0, 13.0, 16.0, 14.0, 0.0, 0.0, 0.0, 2.0, 14.0, 16.0, 12.0, 4.0, 0.0, 0.0, 0.0, 13.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 10.0, 1.0, 0.0, 0.0, 0.0, 0.0, 5.0, 15.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 15.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 15.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 5.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 6.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 15.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 12.0, 7.0, 12.0, 2.0, 0.0, 0.0, 0.0, 9.0, 16.0, 15.0, 13.0, 6.0, 0.0, 0.0, 0.0, 13.0, 14.0, 2.0, 13.0, 6.0, 0.0, 0.0, 0.0, 14.0, 15.0, 13.0, 16.0, 4.0, 0.0, 0.0, 0.0, 1.0, 10.0, 16.0, 10.0, 0.0, 0.0], [0.0, 0.0, 0.0, 7.0, 16.0, 16.0, 11.0, 0.0, 0.0, 0.0, 6.0, 16.0, 16.0, 16.0, 16.0, 0.0, 0.0, 0.0, 11.0, 16.0, 16.0, 16.0, 9.0, 0.0, 0.0, 0.0, 2.0, 9.0, 11.0, 14.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 11.0, 1.0, 0.0, 0.0, 0.0, 0.0, 2.0, 14.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 3.0, 0.0, 0.0, 0.0], [0.0, 0.0, 5.0, 16.0, 14.0, 1.0, 0.0, 0.0, 0.0, 0.0, 14.0, 14.0, 14.0, 9.0, 0.0, 0.0, 0.0, 1.0, 15.0, 6.0, 1.0, 12.0, 1.0, 0.0, 0.0, 3.0, 16.0, 1.0, 0.0, 10.0, 4.0, 0.0, 0.0, 5.0, 16.0, 5.0, 0.0, 11.0, 2.0, 0.0, 0.0, 2.0, 16.0, 2.0, 3.0, 16.0, 0.0, 0.0, 0.0, 0.0, 11.0, 13.0, 14.0, 12.0, 0.0, 0.0, 0.0, 0.0, 3.0, 15.0, 15.0, 5.0, 0.0, 0.0], [0.0, 0.0, 2.0, 15.0, 14.0, 1.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 16.0, 4.0, 0.0, 0.0, 0.0, 4.0, 16.0, 16.0, 16.0, 1.0, 0.0, 0.0, 0.0, 7.0, 16.0, 16.0, 14.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 16.0, 11.0, 0.0, 0.0, 0.0, 0.0, 1.0, 13.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 14.0, 9.0, 0.0, 0.0, 0.0], [0.0, 0.0, 2.0, 12.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 14.0, 14.0, 9.0, 0.0, 0.0, 0.0, 3.0, 15.0, 1.0, 10.0, 9.0, 0.0, 0.0, 0.0, 2.0, 7.0, 0.0, 10.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 13.0, 14.0, 16.0, 4.0, 0.0, 0.0, 4.0, 15.0, 0.0, 0.0, 5.0, 4.0], [0.0, 0.0, 10.0, 16.0, 15.0, 7.0, 0.0, 0.0, 0.0, 6.0, 16.0, 6.0, 10.0, 16.0, 2.0, 0.0, 0.0, 8.0, 6.0, 5.0, 15.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 11.0, 16.0, 1.0, 0.0, 0.0, 0.0, 11.0, 16.0, 16.0, 8.0, 1.0, 0.0], [0.0, 0.0, 3.0, 15.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 6.0, 0.0, 8.0, 5.0, 0.0, 0.0, 12.0, 14.0, 0.0, 5.0, 16.0, 8.0, 0.0, 0.0, 12.0, 15.0, 14.0, 16.0, 13.0, 0.0, 0.0, 0.0, 1.0, 11.0, 14.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 4.0, 15.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 5.0, 0.0, 0.0, 0.0], [0.0, 0.0, 10.0, 16.0, 16.0, 14.0, 0.0, 0.0, 0.0, 4.0, 16.0, 14.0, 10.0, 8.0, 0.0, 0.0, 0.0, 13.0, 16.0, 8.0, 1.0, 0.0, 0.0, 0.0, 0.0, 12.0, 16.0, 16.0, 13.0, 2.0, 0.0, 0.0, 0.0, 3.0, 8.0, 9.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 5.0, 12.0, 15.0, 2.0, 0.0, 0.0, 0.0, 0.0, 12.0, 15.0, 5.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 1.0, 13.0, 1.0, 0.0, 0.0, 0.0, 0.0, 1.0, 14.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 14.0, 10.0, 3.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 16.0, 16.0, 1.0, 0.0, 0.0, 0.0, 8.0, 16.0, 15.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 2.0, 11.0, 11.0, 1.0, 0.0], [0.0, 0.0, 10.0, 16.0, 14.0, 2.0, 0.0, 0.0, 0.0, 0.0, 13.0, 13.0, 14.0, 11.0, 0.0, 0.0, 0.0, 0.0, 4.0, 8.0, 15.0, 15.0, 4.0, 0.0, 0.0, 0.0, 10.0, 16.0, 16.0, 13.0, 3.0, 0.0, 0.0, 0.0, 1.0, 12.0, 14.0, 1.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 12.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 7.0, 0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 5.0, 12.0, 16.0, 15.0, 0.0, 0.0, 0.0, 3.0, 16.0, 8.0, 9.0, 16.0, 0.0, 0.0, 0.0, 4.0, 16.0, 14.0, 16.0, 7.0, 0.0, 0.0, 0.0, 5.0, 16.0, 15.0, 5.0, 0.0, 0.0, 0.0, 0.0, 8.0, 15.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 8.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 10.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 15.0, 2.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 7.0, 12.0, 16.0, 16.0, 15.0, 0.0, 0.0, 9.0, 16.0, 10.0, 4.0, 16.0, 10.0, 0.0, 0.0, 14.0, 16.0, 13.0, 14.0, 12.0, 1.0, 0.0, 0.0, 4.0, 16.0, 16.0, 16.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 15.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 6.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 10.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 15.0, 13.0, 5.0, 0.0, 0.0, 0.0, 0.0, 13.0, 13.0, 1.0, 13.0, 0.0, 0.0, 0.0, 0.0, 16.0, 7.0, 0.0, 16.0, 0.0, 0.0, 0.0, 0.0, 16.0, 11.0, 3.0, 15.0, 0.0, 0.0, 0.0, 0.0, 14.0, 7.0, 16.0, 12.0, 0.0, 0.0, 0.0, 0.0, 9.0, 13.0, 15.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 10.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 4.0, 11.0, 15.0, 15.0, 2.0, 0.0, 1.0, 10.0, 16.0, 13.0, 14.0, 14.0, 2.0, 0.0, 5.0, 16.0, 16.0, 16.0, 16.0, 14.0, 0.0, 0.0, 0.0, 9.0, 8.0, 8.0, 15.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 2.0, 0.0, 0.0], [0.0, 0.0, 7.0, 15.0, 16.0, 16.0, 1.0, 0.0, 0.0, 9.0, 16.0, 16.0, 10.0, 5.0, 0.0, 0.0, 0.0, 14.0, 16.0, 16.0, 15.0, 0.0, 0.0, 0.0, 0.0, 11.0, 14.0, 13.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 13.0, 0.0, 0.0, 0.0, 0.0], [0.0, 8.0, 13.0, 15.0, 16.0, 16.0, 8.0, 0.0, 0.0, 9.0, 16.0, 16.0, 13.0, 11.0, 5.0, 0.0, 0.0, 6.0, 16.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 14.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 14.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 12.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 15.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 15.0, 8.0, 4.0, 0.0, 0.0, 0.0, 0.0, 15.0, 16.0, 16.0, 15.0, 3.0, 0.0, 0.0, 1.0, 16.0, 13.0, 4.0, 11.0, 11.0, 0.0, 0.0, 0.0, 11.0, 14.0, 9.0, 15.0, 11.0, 0.0, 0.0, 0.0, 1.0, 14.0, 16.0, 15.0, 6.0, 0.0], [0.0, 0.0, 5.0, 15.0, 14.0, 13.0, 2.0, 0.0, 0.0, 0.0, 12.0, 15.0, 9.0, 7.0, 1.0, 0.0, 0.0, 5.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 6.0, 12.0, 14.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 14.0, 0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 2.0, 14.0, 13.0, 3.0, 0.0, 0.0, 0.0, 0.0, 13.0, 13.0, 9.0, 11.0, 0.0, 0.0, 0.0, 0.0, 16.0, 7.0, 0.0, 12.0, 0.0, 0.0, 0.0, 3.0, 16.0, 5.0, 0.0, 10.0, 5.0, 0.0, 0.0, 5.0, 16.0, 1.0, 0.0, 8.0, 5.0, 0.0, 0.0, 3.0, 16.0, 1.0, 0.0, 10.0, 5.0, 0.0, 0.0, 0.0, 16.0, 8.0, 5.0, 14.0, 3.0, 0.0, 0.0, 0.0, 4.0, 16.0, 16.0, 9.0, 1.0, 0.0], [0.0, 0.0, 0.0, 4.0, 12.0, 16.0, 11.0, 0.0, 0.0, 0.0, 15.0, 12.0, 0.0, 5.0, 9.0, 0.0, 0.0, 4.0, 16.0, 5.0, 6.0, 15.0, 3.0, 0.0, 0.0, 3.0, 15.0, 16.0, 14.0, 1.0, 0.0, 0.0, 0.0, 0.0, 3.0, 10.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 12.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 9.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 1.0, 15.0, 5.0, 16.0, 3.0, 0.0, 0.0, 0.0, 13.0, 4.0, 0.0, 15.0, 5.0, 0.0, 0.0, 0.0, 15.0, 11.0, 14.0, 16.0, 2.0, 0.0, 0.0, 8.0, 16.0, 16.0, 13.0, 5.0, 0.0, 0.0, 0.0, 3.0, 15.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 15.0, 0.0, 0.0, 0.0], [0.0, 0.0, 6.0, 14.0, 16.0, 15.0, 1.0, 0.0, 0.0, 9.0, 16.0, 12.0, 9.0, 16.0, 3.0, 0.0, 0.0, 12.0, 16.0, 11.0, 14.0, 13.0, 0.0, 0.0, 0.0, 7.0, 15.0, 16.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 8.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 2.0, 13.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 1.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 8.0, 15.0, 4.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 10.0, 11.0, 0.0, 0.0, 0.0, 0.0, 6.0, 12.0, 11.0, 13.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 16.0, 9.0, 0.0, 0.0, 0.0, 1.0, 16.0, 12.0, 11.0, 5.0, 0.0, 0.0, 0.0, 2.0, 13.0, 0.0, 2.0, 9.0, 0.0, 0.0, 0.0, 0.0, 8.0, 6.0, 2.0, 12.0, 0.0, 0.0, 0.0, 0.0, 1.0, 9.0, 14.0, 9.0, 0.0, 0.0], [0.0, 0.0, 1.0, 13.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 9.0, 0.0, 7.0, 7.0, 0.0, 0.0, 3.0, 16.0, 3.0, 2.0, 15.0, 9.0, 0.0, 0.0, 9.0, 16.0, 8.0, 12.0, 15.0, 0.0, 0.0, 0.0, 6.0, 16.0, 16.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 3.0, 12.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 9.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 13.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 15.0, 0.0, 0.0, 0.0], [0.0, 0.0, 8.0, 15.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 7.0, 10.0, 10.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 14.0, 12.0, 1.0, 0.0, 0.0, 3.0, 16.0, 16.0, 16.0, 12.0, 4.0, 0.0, 0.0, 1.0, 10.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 1.0, 0.0, 0.0, 0.0, 0.0], [0.0, 2.0, 10.0, 16.0, 12.0, 0.0, 0.0, 0.0, 0.0, 12.0, 14.0, 12.0, 16.0, 5.0, 0.0, 0.0, 0.0, 2.0, 0.0, 4.0, 16.0, 7.0, 1.0, 0.0, 0.0, 0.0, 4.0, 15.0, 16.0, 16.0, 10.0, 0.0, 0.0, 1.0, 16.0, 16.0, 12.0, 5.0, 2.0, 0.0, 0.0, 0.0, 15.0, 12.0, 1.0, 0.0, 0.0, 0.0, 0.0, 1.0, 14.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0], [0.0, 2.0, 16.0, 16.0, 16.0, 12.0, 0.0, 0.0, 0.0, 1.0, 9.0, 5.0, 12.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 6.0, 15.0, 14.0, 2.0, 0.0, 0.0, 0.0, 1.0, 16.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 16.0, 5.0, 0.0, 0.0, 0.0, 1.0, 16.0, 16.0, 13.0, 1.0, 0.0, 0.0], [0.0, 4.0, 16.0, 16.0, 16.0, 15.0, 3.0, 0.0, 0.0, 11.0, 16.0, 14.0, 8.0, 8.0, 1.0, 0.0, 0.0, 12.0, 14.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 14.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 13.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 15.0, 3.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 11.0, 9.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 16.0, 12.0, 1.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 14.0, 7.0, 0.0, 0.0, 0.0, 0.0, 14.0, 15.0, 1.0, 11.0, 0.0, 0.0, 0.0, 0.0, 16.0, 15.0, 0.0, 14.0, 1.0, 0.0, 0.0, 1.0, 16.0, 10.0, 0.0, 14.0, 2.0, 0.0, 0.0, 0.0, 15.0, 13.0, 3.0, 15.0, 3.0, 0.0, 0.0, 0.0, 9.0, 16.0, 16.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 16.0, 8.0, 0.0, 0.0], [0.0, 0.0, 9.0, 13.0, 11.0, 1.0, 0.0, 0.0, 0.0, 0.0, 6.0, 4.0, 9.0, 14.0, 1.0, 0.0, 0.0, 0.0, 1.0, 5.0, 0.0, 11.0, 4.0, 0.0, 0.0, 0.0, 13.0, 14.0, 0.0, 7.0, 5.0, 0.0, 0.0, 3.0, 14.0, 1.0, 0.0, 10.0, 4.0, 0.0, 0.0, 3.0, 14.0, 0.0, 2.0, 15.0, 1.0, 0.0, 0.0, 2.0, 13.0, 8.0, 12.0, 11.0, 0.0, 0.0, 0.0, 0.0, 8.0, 14.0, 10.0, 1.0, 0.0, 0.0], [0.0, 0.0, 5.0, 16.0, 15.0, 5.0, 0.0, 0.0, 0.0, 0.0, 8.0, 13.0, 9.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 0.0, 15.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 4.0, 0.0, 0.0, 0.0, 11.0, 10.0, 10.0, 15.0, 0.0, 0.0, 0.0, 0.0, 16.0, 16.0, 16.0, 15.0, 13.0, 4.0, 0.0, 0.0, 7.0, 16.0, 13.0, 10.0, 8.0, 3.0], [0.0, 3.0, 12.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 13.0, 15.0, 8.0, 15.0, 2.0, 0.0, 0.0, 0.0, 11.0, 6.0, 0.0, 12.0, 4.0, 0.0, 0.0, 0.0, 1.0, 0.0, 0.0, 15.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 10.0, 4.0, 6.0, 1.0, 0.0, 2.0, 15.0, 16.0, 16.0, 16.0, 16.0, 3.0], [0.0, 2.0, 15.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 11.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 7.0, 2.0, 1.0, 0.0, 0.0, 1.0, 8.0, 16.0, 14.0, 16.0, 10.0, 0.0, 0.0, 10.0, 16.0, 15.0, 7.0, 1.0, 0.0, 0.0, 0.0, 0.0, 14.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 7.0, 15.0, 15.0, 6.0, 0.0, 0.0, 0.0, 4.0, 16.0, 16.0, 11.0, 15.0, 0.0, 0.0, 0.0, 7.0, 16.0, 10.0, 10.0, 16.0, 1.0, 0.0, 0.0, 3.0, 11.0, 16.0, 16.0, 6.0, 0.0, 0.0, 0.0, 1.0, 15.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 5.0, 14.0, 0.0, 0.0, 0.0, 0.0, 1.0, 13.0, 3.0, 14.0, 1.0, 0.0, 0.0, 0.0, 0.0, 5.0, 15.0, 15.0, 2.0, 0.0, 0.0], [0.0, 0.0, 1.0, 15.0, 13.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 14.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 15.0, 1.0, 0.0, 0.0, 0.0, 3.0, 10.0, 13.0, 13.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 16.0, 12.0, 4.0, 0.0, 0.0, 0.0, 1.0, 13.0, 15.0, 14.0, 16.0, 7.0], [0.0, 0.0, 0.0, 12.0, 11.0, 1.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 13.0, 10.0, 0.0, 0.0, 0.0, 0.0, 8.0, 9.0, 1.0, 12.0, 0.0, 0.0, 0.0, 2.0, 16.0, 9.0, 0.0, 10.0, 5.0, 0.0, 0.0, 4.0, 16.0, 8.0, 0.0, 7.0, 8.0, 0.0, 0.0, 1.0, 16.0, 3.0, 0.0, 10.0, 7.0, 0.0, 0.0, 0.0, 8.0, 13.0, 9.0, 16.0, 6.0, 0.0, 0.0, 0.0, 1.0, 10.0, 16.0, 13.0, 1.0, 0.0], [0.0, 0.0, 0.0, 15.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 16.0, 1.0, 0.0, 0.0, 0.0, 2.0, 16.0, 16.0, 16.0, 3.0, 0.0, 0.0, 0.0, 7.0, 16.0, 16.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 15.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 4.0, 0.0, 0.0, 0.0], [0.0, 2.0, 13.0, 16.0, 12.0, 0.0, 0.0, 0.0, 0.0, 9.0, 15.0, 10.0, 16.0, 3.0, 0.0, 0.0, 0.0, 5.0, 7.0, 5.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 16.0, 1.0, 3.0, 7.0, 1.0, 0.0, 3.0, 16.0, 12.0, 10.0, 16.0, 11.0, 1.0, 0.0, 0.0, 13.0, 16.0, 13.0, 7.0, 1.0, 0.0], [0.0, 0.0, 0.0, 8.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 15.0, 12.0, 9.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 13.0, 9.0, 8.0, 0.0, 0.0, 0.0, 11.0, 16.0, 2.0, 8.0, 9.0, 0.0, 0.0, 0.0, 3.0, 16.0, 5.0, 12.0, 10.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 14.0, 2.0, 0.0], [0.0, 0.0, 11.0, 15.0, 16.0, 10.0, 0.0, 0.0, 0.0, 8.0, 16.0, 8.0, 15.0, 16.0, 0.0, 0.0, 0.0, 5.0, 6.0, 10.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 11.0, 1.0, 0.0, 0.0, 0.0, 0.0, 2.0, 15.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 13.0, 16.0, 15.0, 0.0, 0.0, 0.0], [0.0, 2.0, 11.0, 14.0, 14.0, 9.0, 0.0, 0.0, 0.0, 3.0, 10.0, 7.0, 10.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 4.0, 13.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 15.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 13.0, 9.0, 0.0, 0.0, 0.0, 0.0, 1.0, 15.0, 13.0, 1.0, 0.0, 0.0, 0.0], [0.0, 2.0, 13.0, 16.0, 15.0, 2.0, 0.0, 0.0, 0.0, 15.0, 14.0, 7.0, 16.0, 5.0, 0.0, 0.0, 0.0, 10.0, 1.0, 2.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 1.0, 11.0, 16.0, 15.0, 8.0, 0.0, 0.0, 0.0, 15.0, 16.0, 13.0, 8.0, 2.0, 0.0, 0.0, 0.0, 10.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 3.0, 0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 9.0, 16.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 9.0, 9.0, 9.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 15.0, 7.0, 0.0, 0.0, 0.0, 0.0, 1.0, 14.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 12.0, 0.0, 0.0, 0.0], [0.0, 0.0, 8.0, 16.0, 16.0, 13.0, 0.0, 0.0, 0.0, 0.0, 10.0, 11.0, 9.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 12.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0, 2.0, 15.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 3.0, 0.0, 0.0, 0.0, 3.0, 12.0, 2.0, 14.0, 4.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 16.0, 5.0, 0.0, 0.0], [0.0, 0.0, 5.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 15.0, 8.0, 0.0, 6.0, 5.0, 0.0, 0.0, 9.0, 16.0, 6.0, 12.0, 16.0, 9.0, 0.0, 0.0, 7.0, 16.0, 16.0, 16.0, 15.0, 1.0, 0.0, 0.0, 0.0, 3.0, 10.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 1.0, 14.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 2.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 11.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 9.0, 1.0, 3.0, 0.0, 0.0, 0.0, 0.0, 14.0, 14.0, 15.0, 16.0, 7.0, 0.0, 0.0, 0.0, 10.0, 16.0, 15.0, 12.0, 12.0, 0.0, 0.0, 0.0, 6.0, 16.0, 13.0, 14.0, 12.0, 0.0, 0.0, 0.0, 0.0, 9.0, 15.0, 15.0, 3.0, 0.0], [0.0, 0.0, 0.0, 6.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 12.0, 0.0, 2.0, 0.0, 0.0, 0.0, 0.0, 13.0, 14.0, 16.0, 14.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 14.0, 13.0, 6.0, 0.0, 0.0, 0.0, 5.0, 13.0, 9.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 6.0, 15.0, 12.0, 1.0, 0.0], [0.0, 0.0, 0.0, 9.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 11.0, 6.0, 7.0, 1.0, 0.0, 0.0, 0.0, 13.0, 14.0, 15.0, 16.0, 8.0, 0.0, 0.0, 0.0, 12.0, 13.0, 5.0, 5.0, 13.0, 0.0, 0.0, 0.0, 6.0, 14.0, 8.0, 15.0, 12.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 12.0, 2.0, 0.0], [0.0, 0.0, 10.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 7.0, 1.0, 7.0, 0.0, 0.0, 0.0, 0.0, 15.0, 7.0, 12.0, 16.0, 2.0, 0.0, 0.0, 0.0, 10.0, 16.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 12.0, 0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 2.0, 9.0, 13.0, 6.0, 0.0, 0.0, 0.0, 11.0, 15.0, 8.0, 9.0, 10.0, 0.0, 0.0, 3.0, 16.0, 10.0, 4.0, 13.0, 5.0, 0.0, 0.0, 1.0, 15.0, 16.0, 15.0, 15.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 14.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 4.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 14.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 12.0, 0.0, 0.0, 0.0], [0.0, 0.0, 12.0, 16.0, 16.0, 15.0, 3.0, 0.0, 0.0, 4.0, 16.0, 16.0, 6.0, 2.0, 1.0, 0.0, 0.0, 14.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 15.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 15.0, 0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 9.0, 8.0, 1.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 16.0, 8.0, 0.0, 0.0, 0.0, 4.0, 16.0, 15.0, 1.0, 15.0, 0.0, 0.0, 0.0, 6.0, 16.0, 12.0, 0.0, 12.0, 1.0, 0.0, 0.0, 5.0, 16.0, 11.0, 0.0, 11.0, 6.0, 0.0, 0.0, 1.0, 15.0, 8.0, 4.0, 15.0, 6.0, 0.0, 0.0, 0.0, 5.0, 16.0, 16.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 14.0, 9.0, 0.0, 0.0], [0.0, 0.0, 1.0, 13.0, 10.0, 1.0, 0.0, 0.0, 0.0, 0.0, 12.0, 6.0, 7.0, 10.0, 0.0, 0.0, 0.0, 0.0, 10.0, 10.0, 11.0, 15.0, 0.0, 0.0, 0.0, 0.0, 1.0, 14.0, 16.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 11.0, 0.0, 0.0, 0.0, 2.0, 4.0, 4.0, 14.0, 11.0, 0.0, 0.0, 0.0, 2.0, 11.0, 15.0, 16.0, 5.0, 0.0], [0.0, 0.0, 5.0, 16.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 15.0, 2.0, 0.0, 0.0, 0.0, 0.0, 1.0, 15.0, 16.0, 15.0, 4.0, 0.0, 0.0, 0.0, 0.0, 9.0, 13.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 12.0, 0.0, 0.0, 0.0, 0.0, 5.0, 12.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 3.0, 15.0, 15.0, 1.0, 0.0, 0.0], [0.0, 0.0, 6.0, 16.0, 12.0, 1.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 13.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 5.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 9.0, 4.0, 1.0, 0.0, 0.0, 3.0, 16.0, 16.0, 16.0, 16.0, 10.0, 0.0, 0.0, 5.0, 16.0, 11.0, 9.0, 6.0, 2.0], [0.0, 0.0, 0.0, 10.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 2.0, 15.0, 4.0, 14.0, 2.0, 0.0, 0.0, 0.0, 0.0, 13.0, 8.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 14.0, 1.0, 0.0, 0.0, 0.0, 8.0, 16.0, 16.0, 7.0, 0.0, 0.0, 0.0, 1.0, 15.0, 6.0, 8.0, 12.0, 0.0, 0.0, 0.0, 1.0, 13.0, 5.0, 12.0, 9.0, 0.0, 0.0, 0.0, 0.0, 1.0, 11.0, 15.0, 6.0, 0.0, 0.0], [0.0, 0.0, 4.0, 15.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 16.0, 12.0, 8.0, 15.0, 0.0, 0.0, 0.0, 7.0, 16.0, 4.0, 0.0, 11.0, 5.0, 0.0, 0.0, 10.0, 15.0, 0.0, 0.0, 8.0, 9.0, 0.0, 0.0, 10.0, 14.0, 0.0, 0.0, 8.0, 11.0, 0.0, 0.0, 6.0, 16.0, 4.0, 0.0, 11.0, 9.0, 0.0, 0.0, 1.0, 15.0, 7.0, 8.0, 16.0, 5.0, 0.0, 0.0, 0.0, 3.0, 14.0, 16.0, 10.0, 1.0, 0.0], [0.0, 0.0, 0.0, 12.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 13.0, 0.0, 0.0, 0.0], [0.0, 0.0, 7.0, 14.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 16.0, 12.0, 15.0, 12.0, 0.0, 0.0, 0.0, 0.0, 3.0, 0.0, 14.0, 9.0, 0.0, 0.0, 0.0, 0.0, 5.0, 12.0, 16.0, 15.0, 10.0, 0.0, 0.0, 8.0, 16.0, 16.0, 13.0, 6.0, 0.0, 0.0, 0.0, 3.0, 9.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 12.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 5.0, 0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 8.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 14.0, 11.0, 13.0, 2.0, 0.0, 0.0, 0.0, 13.0, 16.0, 14.0, 14.0, 10.0, 0.0, 0.0, 0.0, 10.0, 15.0, 1.0, 5.0, 13.0, 0.0, 0.0, 0.0, 6.0, 16.0, 8.0, 14.0, 12.0, 0.0, 0.0, 0.0, 0.0, 5.0, 14.0, 16.0, 4.0, 0.0], [0.0, 1.0, 11.0, 16.0, 16.0, 12.0, 0.0, 0.0, 0.0, 8.0, 16.0, 13.0, 16.0, 16.0, 3.0, 0.0, 0.0, 1.0, 5.0, 7.0, 16.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 15.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 13.0, 0.0, 0.0, 0.0, 0.0, 3.0, 7.0, 15.0, 14.0, 0.0, 0.0, 0.0, 0.0, 14.0, 16.0, 16.0, 6.0, 0.0, 0.0], [0.0, 2.0, 13.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 12.0, 13.0, 14.0, 13.0, 0.0, 0.0, 0.0, 0.0, 2.0, 0.0, 8.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 15.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 16.0, 16.0, 9.0, 2.0, 0.0, 0.0, 1.0, 16.0, 14.0, 13.0, 16.0, 9.0, 0.0], [0.0, 0.0, 0.0, 11.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 11.0, 0.0, 0.0, 0.0], [0.0, 1.0, 11.0, 16.0, 11.0, 0.0, 0.0, 0.0, 0.0, 10.0, 14.0, 11.0, 16.0, 0.0, 0.0, 0.0, 0.0, 14.0, 5.0, 6.0, 15.0, 0.0, 0.0, 0.0, 0.0, 3.0, 1.0, 11.0, 14.0, 3.0, 1.0, 0.0, 0.0, 2.0, 13.0, 16.0, 16.0, 16.0, 9.0, 0.0, 0.0, 2.0, 14.0, 16.0, 5.0, 4.0, 2.0, 0.0, 0.0, 0.0, 11.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 5.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 9.0, 4.0, 13.0, 0.0, 0.0, 0.0, 0.0, 16.0, 5.0, 11.0, 13.0, 0.0, 0.0, 0.0, 0.0, 15.0, 13.0, 15.0, 7.0, 0.0, 0.0, 0.0, 0.0, 4.0, 14.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 1.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 8.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 15.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 14.0, 5.0, 1.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 16.0, 16.0, 3.0, 0.0, 0.0, 0.0, 6.0, 16.0, 7.0, 13.0, 8.0, 0.0, 0.0, 0.0, 2.0, 15.0, 7.0, 15.0, 7.0, 0.0, 0.0, 0.0, 0.0, 7.0, 15.0, 12.0, 0.0, 0.0], [0.0, 0.0, 6.0, 16.0, 15.0, 5.0, 0.0, 0.0, 0.0, 0.0, 2.0, 13.0, 14.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 14.0, 14.0, 1.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 14.0, 0.0, 0.0, 0.0, 0.0, 8.0, 7.0, 12.0, 16.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 16.0, 12.0, 1.0, 0.0], [0.0, 0.0, 0.0, 12.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 2.0, 0.0, 0.0], [0.0, 0.0, 6.0, 15.0, 15.0, 4.0, 0.0, 0.0, 0.0, 6.0, 16.0, 16.0, 16.0, 14.0, 0.0, 0.0, 0.0, 7.0, 16.0, 14.0, 16.0, 13.0, 0.0, 0.0, 0.0, 0.0, 3.0, 7.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 15.0, 0.0, 0.0, 0.0, 0.0, 7.0, 10.0, 16.0, 14.0, 0.0, 0.0, 0.0, 0.0, 7.0, 15.0, 15.0, 4.0, 0.0, 0.0], [0.0, 0.0, 0.0, 8.0, 10.0, 14.0, 3.0, 0.0, 0.0, 1.0, 13.0, 13.0, 9.0, 12.0, 8.0, 0.0, 0.0, 6.0, 16.0, 8.0, 8.0, 16.0, 4.0, 0.0, 0.0, 5.0, 16.0, 16.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 5.0, 8.0, 14.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 12.0, 2.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 16.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 15.0, 2.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 16.0, 2.0, 0.0, 0.0], [0.0, 4.0, 15.0, 16.0, 15.0, 4.0, 0.0, 0.0, 0.0, 11.0, 16.0, 14.0, 15.0, 16.0, 0.0, 0.0, 0.0, 3.0, 3.0, 0.0, 16.0, 14.0, 2.0, 0.0, 0.0, 0.0, 9.0, 16.0, 16.0, 16.0, 8.0, 0.0, 0.0, 0.0, 15.0, 16.0, 11.0, 1.0, 0.0, 0.0, 0.0, 0.0, 11.0, 13.0, 1.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 9.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 11.0, 0.0, 3.0, 0.0, 0.0, 0.0, 0.0, 13.0, 8.0, 13.0, 13.0, 10.0, 0.0, 0.0, 0.0, 12.0, 16.0, 8.0, 0.0, 13.0, 1.0, 0.0, 0.0, 6.0, 16.0, 5.0, 9.0, 13.0, 0.0, 0.0, 0.0, 0.0, 8.0, 15.0, 14.0, 4.0, 0.0], [0.0, 0.0, 0.0, 9.0, 15.0, 9.0, 0.0, 0.0, 0.0, 0.0, 8.0, 15.0, 5.0, 12.0, 2.0, 0.0, 0.0, 0.0, 15.0, 15.0, 3.0, 13.0, 3.0, 0.0, 0.0, 0.0, 11.0, 16.0, 16.0, 13.0, 0.0, 0.0, 0.0, 4.0, 16.0, 10.0, 15.0, 0.0, 0.0, 0.0, 0.0, 3.0, 12.0, 0.0, 8.0, 7.0, 0.0, 0.0, 0.0, 0.0, 12.0, 8.0, 10.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 13.0, 4.0, 0.0, 0.0], [0.0, 0.0, 0.0, 14.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 12.0, 0.0, 1.0, 3.0, 0.0, 0.0, 4.0, 16.0, 5.0, 1.0, 15.0, 11.0, 0.0, 0.0, 10.0, 15.0, 4.0, 13.0, 16.0, 3.0, 0.0, 0.0, 8.0, 16.0, 16.0, 16.0, 10.0, 0.0, 0.0, 0.0, 2.0, 11.0, 12.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 9.0, 0.0, 0.0, 0.0], [0.0, 0.0, 7.0, 15.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 14.0, 9.0, 10.0, 16.0, 1.0, 0.0, 0.0, 0.0, 2.0, 5.0, 15.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 13.0, 0.0, 0.0, 0.0, 0.0, 11.0, 9.0, 15.0, 16.0, 1.0, 0.0, 0.0, 0.0, 8.0, 16.0, 16.0, 12.0, 0.0, 0.0], [0.0, 0.0, 0.0, 14.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 12.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 15.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 1.0, 13.0, 16.0, 0.0, 9.0, 2.0, 0.0, 0.0, 5.0, 16.0, 11.0, 5.0, 16.0, 9.0, 0.0, 0.0, 7.0, 16.0, 14.0, 16.0, 16.0, 7.0, 0.0, 0.0, 1.0, 11.0, 15.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 11.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 10.0, 13.0, 3.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 14.0, 12.0, 0.0, 0.0, 0.0, 3.0, 16.0, 13.0, 0.0, 14.0, 1.0, 0.0, 0.0, 5.0, 16.0, 6.0, 0.0, 14.0, 5.0, 0.0, 0.0, 6.0, 16.0, 0.0, 0.0, 15.0, 4.0, 0.0, 0.0, 2.0, 13.0, 1.0, 5.0, 16.0, 4.0, 0.0, 0.0, 0.0, 10.0, 16.0, 16.0, 14.0, 1.0, 0.0, 0.0, 0.0, 2.0, 11.0, 13.0, 6.0, 0.0, 0.0], [0.0, 0.0, 7.0, 12.0, 15.0, 6.0, 0.0, 0.0, 0.0, 14.0, 16.0, 15.0, 6.0, 0.0, 0.0, 0.0, 0.0, 16.0, 16.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 14.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 8.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 13.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 7.0, 0.0, 0.0, 0.0], [0.0, 0.0, 8.0, 15.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 13.0, 13.0, 13.0, 13.0, 0.0, 0.0, 0.0, 0.0, 2.0, 6.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 15.0, 0.0, 0.0, 0.0, 0.0, 7.0, 4.0, 11.0, 16.0, 1.0, 0.0, 0.0, 0.0, 7.0, 16.0, 16.0, 8.0, 0.0, 0.0], [0.0, 0.0, 0.0, 5.0, 13.0, 1.0, 0.0, 0.0, 0.0, 0.0, 1.0, 15.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 14.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 11.0, 11.0, 5.0, 13.0, 0.0, 0.0, 0.0, 0.0, 6.0, 13.0, 7.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 14.0, 9.0, 0.0, 0.0], [0.0, 0.0, 7.0, 16.0, 15.0, 4.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 15.0, 12.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 16.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 8.0, 15.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 11.0, 0.0, 0.0, 0.0, 1.0, 0.0, 5.0, 15.0, 9.0, 0.0, 0.0, 0.0, 6.0, 15.0, 16.0, 16.0, 2.0, 0.0], [0.0, 0.0, 1.0, 13.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 12.0, 1.0, 0.0, 0.0, 0.0, 0.0, 14.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 14.0, 9.0, 1.0, 0.0, 0.0, 0.0, 1.0, 16.0, 16.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 13.0, 15.0, 13.0, 15.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 14.0, 14.0, 1.0, 0.0, 0.0, 0.0, 1.0, 11.0, 16.0, 8.0, 0.0, 0.0], [0.0, 0.0, 0.0, 12.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 14.0, 0.0, 0.0, 0.0], [0.0, 0.0, 3.0, 16.0, 15.0, 5.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 15.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 7.0, 16.0, 4.0, 0.0, 0.0, 2.0, 6.0, 9.0, 14.0, 16.0, 5.0, 0.0, 0.0, 9.0, 16.0, 16.0, 16.0, 12.0, 1.0, 0.0, 0.0, 0.0, 9.0, 15.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 15.0, 4.0, 0.0, 0.0, 0.0], [0.0, 0.0, 15.0, 13.0, 13.0, 13.0, 0.0, 0.0, 0.0, 0.0, 16.0, 16.0, 11.0, 3.0, 0.0, 0.0, 0.0, 0.0, 12.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 15.0, 1.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 13.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 10.0, 0.0, 8.0, 2.0, 0.0, 0.0, 4.0, 16.0, 5.0, 11.0, 16.0, 8.0, 0.0, 0.0, 7.0, 16.0, 16.0, 16.0, 16.0, 3.0, 0.0, 0.0, 2.0, 13.0, 9.0, 16.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 15.0, 1.0, 0.0, 0.0], [0.0, 0.0, 4.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 13.0, 0.0, 1.0, 1.0, 0.0, 0.0, 3.0, 16.0, 8.0, 5.0, 16.0, 6.0, 0.0, 0.0, 9.0, 16.0, 6.0, 14.0, 16.0, 2.0, 0.0, 0.0, 11.0, 16.0, 16.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 10.0, 15.0, 15.0, 2.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 3.0, 0.0, 0.0, 0.0], [0.0, 0.0, 5.0, 14.0, 14.0, 2.0, 0.0, 0.0, 0.0, 2.0, 16.0, 16.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 7.0, 4.0, 16.0, 12.0, 0.0, 0.0, 0.0, 0.0, 1.0, 9.0, 16.0, 16.0, 8.0, 0.0, 0.0, 3.0, 15.0, 16.0, 16.0, 10.0, 2.0, 0.0, 0.0, 4.0, 16.0, 16.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 13.0, 0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 7.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 16.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 13.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 16.0, 6.0, 4.0, 8.0, 1.0, 0.0, 0.0, 14.0, 16.0, 16.0, 16.0, 16.0, 4.0, 0.0, 0.0, 7.0, 16.0, 15.0, 7.0, 3.0, 0.0], [0.0, 0.0, 8.0, 16.0, 16.0, 12.0, 0.0, 0.0, 0.0, 0.0, 16.0, 13.0, 10.0, 16.0, 3.0, 0.0, 0.0, 0.0, 12.0, 1.0, 2.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 15.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 15.0, 2.0, 0.0, 0.0, 0.0, 1.0, 11.0, 16.0, 12.0, 8.0, 8.0, 1.0, 0.0, 0.0, 11.0, 16.0, 16.0, 16.0, 12.0, 1.0], [0.0, 0.0, 3.0, 9.0, 14.0, 9.0, 0.0, 0.0, 0.0, 5.0, 16.0, 14.0, 5.0, 0.0, 0.0, 0.0, 0.0, 12.0, 11.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 16.0, 12.0, 1.0, 0.0, 0.0, 0.0, 0.0, 4.0, 11.0, 13.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 12.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 15.0, 7.0, 0.0, 0.0, 0.0], [0.0, 7.0, 12.0, 14.0, 16.0, 8.0, 0.0, 0.0, 0.0, 8.0, 16.0, 14.0, 15.0, 11.0, 0.0, 0.0, 0.0, 2.0, 11.0, 2.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 8.0, 5.0, 0.0, 0.0, 8.0, 13.0, 16.0, 16.0, 12.0, 5.0, 0.0, 0.0, 7.0, 16.0, 12.0, 3.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 7.0, 16.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 14.0, 12.0, 11.0, 14.0, 0.0, 0.0, 0.0, 0.0, 11.0, 15.0, 16.0, 12.0, 0.0, 0.0, 0.0, 0.0, 5.0, 15.0, 15.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 12.0, 14.0, 0.0, 0.0, 0.0, 1.0, 10.0, 0.0, 7.0, 15.0, 0.0, 0.0, 0.0, 1.0, 14.0, 6.0, 13.0, 12.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 16.0, 11.0, 0.0, 0.0], [0.0, 0.0, 3.0, 14.0, 16.0, 14.0, 0.0, 0.0, 0.0, 3.0, 12.0, 16.0, 8.0, 1.0, 0.0, 0.0, 0.0, 15.0, 16.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 11.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 8.0, 15.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 9.0, 0.0, 0.0, 0.0], [0.0, 0.0, 11.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 3.0, 2.0, 14.0, 3.0, 0.0, 0.0, 9.0, 15.0, 0.0, 12.0, 15.0, 0.0, 0.0, 0.0, 6.0, 16.0, 15.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 6.0, 15.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 10.0, 0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 11.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 15.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 8.0, 0.0, 4.0, 7.0, 0.0, 0.0, 5.0, 16.0, 2.0, 2.0, 13.0, 9.0, 0.0, 0.0, 10.0, 15.0, 12.0, 15.0, 14.0, 1.0, 0.0, 0.0, 6.0, 16.0, 9.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 14.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 7.0, 0.0, 0.0, 0.0], [0.0, 0.0, 7.0, 15.0, 16.0, 12.0, 0.0, 0.0, 0.0, 12.0, 16.0, 11.0, 16.0, 13.0, 0.0, 0.0, 0.0, 15.0, 16.0, 16.0, 14.0, 5.0, 0.0, 0.0, 0.0, 8.0, 16.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 12.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 12.0, 1.0, 0.0, 0.0, 0.0], [0.0, 0.0, 1.0, 13.0, 15.0, 8.0, 0.0, 0.0, 0.0, 0.0, 11.0, 14.0, 8.0, 15.0, 0.0, 0.0, 0.0, 2.0, 16.0, 3.0, 0.0, 13.0, 2.0, 0.0, 0.0, 5.0, 15.0, 0.0, 0.0, 10.0, 5.0, 0.0, 0.0, 3.0, 10.0, 0.0, 0.0, 10.0, 5.0, 0.0, 0.0, 3.0, 13.0, 0.0, 1.0, 15.0, 3.0, 0.0, 0.0, 0.0, 12.0, 10.0, 11.0, 11.0, 0.0, 0.0, 0.0, 0.0, 1.0, 12.0, 11.0, 4.0, 0.0, 0.0], [0.0, 0.0, 2.0, 10.0, 11.0, 1.0, 0.0, 0.0, 0.0, 0.0, 5.0, 14.0, 3.0, 12.0, 0.0, 0.0, 0.0, 0.0, 6.0, 13.0, 3.0, 15.0, 0.0, 0.0, 0.0, 0.0, 8.0, 15.0, 15.0, 9.0, 0.0, 0.0, 0.0, 2.0, 16.0, 11.0, 9.0, 0.0, 0.0, 0.0, 0.0, 2.0, 14.0, 2.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 6.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 15.0, 6.0, 0.0, 0.0, 0.0], [0.0, 0.0, 1.0, 10.0, 13.0, 12.0, 5.0, 0.0, 0.0, 0.0, 13.0, 13.0, 4.0, 4.0, 12.0, 0.0, 0.0, 3.0, 16.0, 7.0, 4.0, 12.0, 6.0, 0.0, 0.0, 2.0, 15.0, 16.0, 15.0, 5.0, 0.0, 0.0, 0.0, 0.0, 1.0, 9.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 1.0, 9.0, 15.0, 10.0, 1.0, 0.0, 0.0, 0.0, 2.0, 12.0, 8.0, 12.0, 4.0, 0.0, 0.0, 0.0, 0.0, 11.0, 1.0, 11.0, 3.0, 0.0, 0.0, 0.0, 0.0, 8.0, 8.0, 15.0, 4.0, 0.0, 0.0, 2.0, 15.0, 16.0, 16.0, 7.0, 0.0, 0.0, 0.0, 2.0, 15.0, 5.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 4.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 14.0, 9.0, 0.0, 0.0, 0.0], [0.0, 0.0, 8.0, 12.0, 12.0, 1.0, 0.0, 0.0, 0.0, 3.0, 16.0, 16.0, 14.0, 9.0, 0.0, 0.0, 0.0, 6.0, 15.0, 9.0, 3.0, 12.0, 2.0, 0.0, 0.0, 7.0, 9.0, 0.0, 0.0, 9.0, 7.0, 0.0, 0.0, 7.0, 8.0, 0.0, 0.0, 7.0, 8.0, 0.0, 0.0, 5.0, 10.0, 0.0, 0.0, 7.0, 9.0, 0.0, 0.0, 0.0, 14.0, 13.0, 10.0, 16.0, 6.0, 0.0, 0.0, 0.0, 5.0, 13.0, 11.0, 4.0, 0.0, 0.0], [0.0, 0.0, 4.0, 14.0, 16.0, 14.0, 1.0, 0.0, 0.0, 2.0, 14.0, 16.0, 16.0, 8.0, 0.0, 0.0, 0.0, 4.0, 16.0, 16.0, 14.0, 3.0, 0.0, 0.0, 0.0, 4.0, 16.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 13.0, 12.0, 0.0, 0.0, 0.0, 0.0, 1.0, 14.0, 16.0, 15.0, 3.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 16.0, 12.0, 0.0, 0.0, 0.0, 0.0, 2.0, 9.0, 15.0, 16.0, 8.0, 0.0], [0.0, 1.0, 12.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 16.0, 13.0, 0.0, 0.0, 0.0, 0.0, 7.0, 6.0, 5.0, 14.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 13.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 10.0, 8.0, 4.0, 0.0, 0.0, 0.0, 13.0, 15.0, 16.0, 12.0, 7.0, 0.0], [0.0, 1.0, 6.0, 12.0, 15.0, 5.0, 0.0, 0.0, 0.0, 7.0, 14.0, 14.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 2.0, 14.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 11.0, 16.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 14.0, 7.0, 0.0, 0.0, 0.0, 2.0, 4.0, 5.0, 14.0, 7.0, 0.0, 0.0, 0.0, 6.0, 16.0, 14.0, 8.0, 0.0, 0.0], [0.0, 0.0, 0.0, 0.0, 8.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 14.0, 3.0, 10.0, 10.0, 0.0, 0.0, 1.0, 14.0, 15.0, 10.0, 16.0, 6.0, 0.0, 0.0, 14.0, 14.0, 12.0, 15.0, 16.0, 2.0, 0.0, 0.0, 3.0, 0.0, 0.0, 8.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 10.0, 0.0, 0.0], [0.0, 0.0, 9.0, 15.0, 16.0, 15.0, 2.0, 0.0, 0.0, 4.0, 16.0, 5.0, 3.0, 1.0, 0.0, 0.0, 0.0, 4.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 14.0, 9.0, 14.0, 15.0, 2.0, 0.0, 0.0, 5.0, 13.0, 9.0, 8.0, 15.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 5.0, 0.0, 0.0, 0.0, 0.0, 5.0, 11.0, 14.0, 0.0, 0.0, 0.0, 0.0, 11.0, 12.0, 7.0, 1.0, 0.0, 0.0], [0.0, 0.0, 1.0, 13.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 14.0, 2.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 16.0, 8.0, 1.0, 0.0, 0.0, 0.0, 3.0, 15.0, 11.0, 14.0, 13.0, 2.0, 0.0, 0.0, 0.0, 10.0, 16.0, 10.0, 16.0, 15.0, 0.0, 0.0, 0.0, 1.0, 10.0, 14.0, 12.0, 7.0, 0.0], [0.0, 0.0, 7.0, 16.0, 16.0, 15.0, 5.0, 0.0, 0.0, 0.0, 9.0, 12.0, 15.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 15.0, 1.0, 0.0, 0.0, 0.0, 7.0, 12.0, 15.0, 15.0, 8.0, 0.0, 0.0, 1.0, 16.0, 16.0, 16.0, 13.0, 5.0, 0.0, 0.0, 0.0, 0.0, 14.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 14.0, 1.0, 0.0, 0.0, 0.0], [0.0, 1.0, 11.0, 10.0, 8.0, 1.0, 1.0, 0.0, 0.0, 3.0, 15.0, 11.0, 3.0, 12.0, 6.0, 0.0, 0.0, 0.0, 4.0, 16.0, 16.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 5.0, 13.0, 12.0, 12.0, 0.0, 0.0, 0.0, 0.0, 13.0, 7.0, 1.0, 16.0, 4.0, 0.0, 0.0, 1.0, 15.0, 4.0, 7.0, 14.0, 0.0, 0.0, 0.0, 1.0, 14.0, 14.0, 8.0, 1.0, 0.0, 0.0], [0.0, 1.0, 8.0, 13.0, 15.0, 5.0, 0.0, 0.0, 0.0, 8.0, 14.0, 7.0, 16.0, 14.0, 0.0, 0.0, 0.0, 10.0, 12.0, 1.0, 10.0, 16.0, 2.0, 0.0, 0.0, 2.0, 12.0, 14.0, 15.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 4.0, 4.0, 15.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 9.0, 0.0, 0.0, 0.0, 9.0, 7.0, 1.0, 10.0, 12.0, 0.0, 0.0, 0.0, 6.0, 13.0, 16.0, 15.0, 6.0, 0.0], [0.0, 0.0, 4.0, 15.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 14.0, 15.0, 5.0, 0.0, 0.0, 0.0, 8.0, 16.0, 5.0, 3.0, 14.0, 0.0, 0.0, 0.0, 5.0, 11.0, 0.0, 0.0, 10.0, 5.0, 0.0, 0.0, 5.0, 9.0, 0.0, 0.0, 8.0, 8.0, 0.0, 0.0, 0.0, 14.0, 0.0, 0.0, 10.0, 8.0, 0.0, 0.0, 0.0, 14.0, 13.0, 13.0, 16.0, 1.0, 0.0, 0.0, 0.0, 2.0, 14.0, 14.0, 7.0, 0.0, 0.0], [0.0, 0.0, 0.0, 8.0, 12.0, 9.0, 2.0, 0.0, 0.0, 0.0, 5.0, 16.0, 16.0, 16.0, 4.0, 0.0, 0.0, 0.0, 9.0, 16.0, 16.0, 11.0, 0.0, 0.0, 0.0, 3.0, 16.0, 16.0, 16.0, 5.0, 0.0, 0.0, 0.0, 4.0, 16.0, 16.0, 16.0, 4.0, 0.0, 0.0, 0.0, 1.0, 15.0, 16.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 12.0, 6.0, 0.0, 0.0], [0.0, 0.0, 8.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 2.0, 4.0, 14.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 2.0, 15.0, 14.0, 7.0, 6.0, 3.0, 0.0, 0.0, 5.0, 16.0, 15.0, 16.0, 15.0, 3.0, 0.0, 0.0, 0.0, 10.0, 13.0, 8.0, 2.0, 0.0, 0.0], [0.0, 1.0, 8.0, 13.0, 16.0, 13.0, 0.0, 0.0, 0.0, 1.0, 13.0, 12.0, 15.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 15.0, 8.0, 0.0, 0.0, 0.0, 0.0, 5.0, 15.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 11.0, 1.0, 0.0, 0.0, 0.0, 0.0, 2.0, 13.0, 16.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 14.0, 16.0, 4.0, 0.0, 0.0, 0.0, 13.0, 16.0, 15.0, 7.0, 0.0, 0.0], [0.0, 0.0, 0.0, 6.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 15.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 8.0, 0.0, 2.0, 6.0, 0.0, 0.0, 4.0, 15.0, 0.0, 1.0, 13.0, 8.0, 0.0, 0.0, 6.0, 16.0, 2.0, 6.0, 14.0, 1.0, 0.0, 0.0, 8.0, 16.0, 16.0, 16.0, 6.0, 0.0, 0.0, 0.0, 1.0, 5.0, 8.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 11.0, 0.0, 0.0, 0.0], [0.0, 0.0, 8.0, 14.0, 16.0, 16.0, 0.0, 0.0, 0.0, 0.0, 14.0, 13.0, 8.0, 8.0, 0.0, 0.0, 0.0, 2.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 13.0, 16.0, 13.0, 0.0, 0.0, 0.0, 3.0, 16.0, 16.0, 12.0, 16.0, 7.0, 0.0, 0.0, 0.0, 4.0, 1.0, 2.0, 14.0, 6.0, 0.0, 0.0, 0.0, 1.0, 6.0, 16.0, 11.0, 0.0, 0.0, 0.0, 0.0, 11.0, 15.0, 8.0, 1.0, 0.0, 0.0], [0.0, 0.0, 2.0, 15.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 6.0, 4.0, 1.0, 0.0, 0.0, 0.0, 6.0, 16.0, 16.0, 14.0, 16.0, 3.0, 0.0, 0.0, 2.0, 14.0, 9.0, 0.0, 11.0, 9.0, 0.0, 0.0, 0.0, 10.0, 14.0, 8.0, 15.0, 5.0, 0.0, 0.0, 0.0, 3.0, 13.0, 16.0, 8.0, 0.0, 0.0], [0.0, 0.0, 4.0, 16.0, 16.0, 16.0, 3.0, 0.0, 0.0, 0.0, 7.0, 12.0, 13.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 5.0, 0.0, 0.0, 1.0, 4.0, 4.0, 7.0, 16.0, 1.0, 0.0, 0.0, 10.0, 16.0, 16.0, 16.0, 16.0, 9.0, 0.0, 0.0, 5.0, 11.0, 13.0, 16.0, 10.0, 2.0, 0.0, 0.0, 0.0, 0.0, 11.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 13.0, 3.0, 0.0, 0.0, 0.0], [0.0, 2.0, 12.0, 14.0, 3.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 1.0, 0.0, 4.0, 1.0, 0.0, 0.0, 0.0, 13.0, 16.0, 16.0, 15.0, 1.0, 0.0, 0.0, 0.0, 7.0, 16.0, 14.0, 1.0, 0.0, 0.0, 0.0, 0.0, 15.0, 14.0, 16.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 1.0, 15.0, 7.0, 0.0, 0.0, 0.0, 5.0, 16.0, 6.0, 15.0, 7.0, 0.0, 0.0, 0.0, 1.0, 16.0, 14.0, 9.0, 0.0, 0.0, 0.0], [0.0, 0.0, 8.0, 14.0, 12.0, 3.0, 0.0, 0.0, 0.0, 6.0, 16.0, 6.0, 14.0, 14.0, 0.0, 0.0, 0.0, 6.0, 13.0, 0.0, 8.0, 14.0, 0.0, 0.0, 0.0, 2.0, 14.0, 14.0, 14.0, 16.0, 3.0, 0.0, 0.0, 0.0, 2.0, 4.0, 6.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 3.0, 0.0, 0.0, 0.0, 7.0, 16.0, 16.0, 8.0, 0.0, 0.0], [0.0, 0.0, 7.0, 12.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 16.0, 15.0, 4.0, 0.0, 0.0, 0.0, 2.0, 16.0, 9.0, 10.0, 11.0, 0.0, 0.0, 0.0, 6.0, 12.0, 0.0, 0.0, 12.0, 3.0, 0.0, 0.0, 8.0, 12.0, 0.0, 0.0, 6.0, 8.0, 0.0, 0.0, 6.0, 13.0, 0.0, 0.0, 9.0, 8.0, 0.0, 0.0, 1.0, 16.0, 13.0, 15.0, 16.0, 3.0, 0.0, 0.0, 0.0, 6.0, 15.0, 9.0, 3.0, 0.0, 0.0], [0.0, 0.0, 6.0, 12.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 16.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 16.0, 14.0, 2.0, 0.0, 0.0, 0.0, 1.0, 15.0, 16.0, 11.0, 2.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 14.0, 5.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 16.0, 14.0, 0.0, 0.0, 0.0, 0.0, 4.0, 11.0, 12.0, 8.0, 0.0, 0.0], [0.0, 0.0, 10.0, 13.0, 8.0, 1.0, 0.0, 0.0, 0.0, 0.0, 16.0, 16.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 6.0, 1.0, 11.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 15.0, 4.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 16.0, 16.0, 15.0, 4.0, 0.0, 0.0, 2.0, 10.0, 11.0, 7.0, 2.0, 0.0, 0.0], [0.0, 4.0, 13.0, 16.0, 16.0, 7.0, 0.0, 0.0, 0.0, 8.0, 12.0, 16.0, 16.0, 13.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 15.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 11.0, 9.0, 2.0, 0.0, 0.0, 0.0, 0.0, 1.0, 7.0, 15.0, 13.0, 2.0, 0.0, 0.0, 0.0, 3.0, 4.0, 7.0, 16.0, 10.0, 0.0, 0.0, 2.0, 11.0, 15.0, 11.0, 8.0, 2.0, 0.0], [0.0, 0.0, 0.0, 2.0, 14.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 9.0, 0.0, 4.0, 4.0, 0.0, 0.0, 4.0, 14.0, 1.0, 1.0, 15.0, 8.0, 0.0, 0.0, 4.0, 16.0, 5.0, 11.0, 16.0, 2.0, 0.0, 0.0, 6.0, 16.0, 16.0, 16.0, 11.0, 0.0, 0.0, 0.0, 0.0, 4.0, 0.0, 12.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 13.0, 1.0, 0.0, 0.0], [0.0, 0.0, 3.0, 10.0, 15.0, 8.0, 0.0, 0.0, 0.0, 0.0, 12.0, 14.0, 8.0, 1.0, 0.0, 0.0, 0.0, 1.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 9.0, 11.0, 16.0, 3.0, 0.0, 0.0, 4.0, 16.0, 14.0, 9.0, 15.0, 7.0, 0.0, 0.0, 1.0, 4.0, 0.0, 0.0, 15.0, 3.0, 0.0, 0.0, 0.0, 0.0, 3.0, 12.0, 8.0, 0.0, 0.0, 0.0, 0.0, 2.0, 10.0, 8.0, 0.0, 0.0, 0.0], [0.0, 0.0, 1.0, 12.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 10.0, 1.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 16.0, 15.0, 7.0, 0.0, 0.0, 0.0, 6.0, 16.0, 9.0, 9.0, 16.0, 3.0, 0.0, 0.0, 0.0, 8.0, 16.0, 13.0, 15.0, 11.0, 0.0, 0.0, 0.0, 1.0, 10.0, 15.0, 14.0, 4.0, 0.0], [0.0, 0.0, 5.0, 14.0, 16.0, 16.0, 3.0, 0.0, 0.0, 0.0, 7.0, 16.0, 16.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 0.0, 0.0, 0.0, 0.0, 9.0, 14.0, 16.0, 16.0, 13.0, 0.0, 0.0, 2.0, 16.0, 16.0, 15.0, 7.0, 1.0, 0.0, 0.0, 0.0, 1.0, 14.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 13.0, 0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 15.0, 13.0, 0.0, 3.0, 3.0, 0.0, 0.0, 0.0, 15.0, 15.0, 8.0, 15.0, 5.0, 0.0, 0.0, 0.0, 8.0, 16.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 12.0, 12.0, 15.0, 10.0, 0.0, 0.0, 0.0, 3.0, 16.0, 0.0, 10.0, 15.0, 1.0, 0.0, 0.0, 2.0, 16.0, 5.0, 7.0, 15.0, 3.0, 0.0, 0.0, 1.0, 12.0, 16.0, 15.0, 7.0, 0.0, 0.0], [0.0, 0.0, 4.0, 13.0, 13.0, 4.0, 0.0, 0.0, 0.0, 0.0, 16.0, 10.0, 10.0, 8.0, 0.0, 0.0, 0.0, 0.0, 14.0, 7.0, 6.0, 11.0, 0.0, 0.0, 0.0, 0.0, 6.0, 15.0, 15.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 9.0, 0.0, 0.0, 1.0, 4.0, 4.0, 6.0, 12.0, 10.0, 0.0, 0.0, 1.0, 6.0, 11.0, 15.0, 12.0, 1.0, 0.0], [0.0, 0.0, 7.0, 12.0, 13.0, 2.0, 0.0, 0.0, 0.0, 0.0, 14.0, 13.0, 8.0, 13.0, 0.0, 0.0, 0.0, 3.0, 16.0, 1.0, 0.0, 11.0, 2.0, 0.0, 0.0, 4.0, 14.0, 0.0, 0.0, 5.0, 8.0, 0.0, 0.0, 5.0, 8.0, 0.0, 0.0, 5.0, 8.0, 0.0, 0.0, 4.0, 16.0, 0.0, 2.0, 14.0, 7.0, 0.0, 0.0, 2.0, 16.0, 10.0, 14.0, 15.0, 1.0, 0.0, 0.0, 0.0, 6.0, 14.0, 14.0, 4.0, 0.0, 0.0], [0.0, 0.0, 5.0, 14.0, 11.0, 3.0, 0.0, 0.0, 0.0, 1.0, 15.0, 8.0, 13.0, 10.0, 0.0, 0.0, 0.0, 1.0, 15.0, 9.0, 9.0, 15.0, 2.0, 0.0, 0.0, 0.0, 10.0, 16.0, 16.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 4.0, 0.0, 0.0, 0.0, 7.0, 5.0, 9.0, 16.0, 0.0, 0.0, 0.0, 0.0, 6.0, 12.0, 13.0, 9.0, 0.0, 0.0], [0.0, 0.0, 15.0, 16.0, 12.0, 5.0, 0.0, 0.0, 0.0, 1.0, 16.0, 15.0, 11.0, 7.0, 0.0, 0.0, 0.0, 4.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 14.0, 12.0, 7.0, 0.0, 0.0, 0.0, 7.0, 16.0, 14.0, 10.0, 16.0, 3.0, 0.0, 0.0, 0.0, 1.0, 0.0, 10.0, 16.0, 4.0, 0.0, 0.0, 0.0, 1.0, 10.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 13.0, 15.0, 5.0, 0.0, 0.0, 0.0], [0.0, 0.0, 4.0, 9.0, 12.0, 16.0, 8.0, 0.0, 0.0, 0.0, 15.0, 15.0, 8.0, 8.0, 2.0, 0.0, 0.0, 4.0, 16.0, 11.0, 4.0, 1.0, 0.0, 0.0, 0.0, 8.0, 16.0, 16.0, 16.0, 14.0, 0.0, 0.0, 0.0, 0.0, 11.0, 9.0, 8.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 12.0, 0.0, 0.0, 0.0, 0.0, 3.0, 13.0, 9.0, 1.0, 0.0, 0.0], [0.0, 0.0, 4.0, 14.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 16.0, 15.0, 4.0, 0.0, 0.0, 0.0, 4.0, 16.0, 9.0, 4.0, 16.0, 2.0, 0.0, 0.0, 1.0, 15.0, 13.0, 6.0, 16.0, 11.0, 0.0, 0.0, 0.0, 4.0, 13.0, 16.0, 15.0, 5.0, 0.0], [0.0, 0.0, 7.0, 11.0, 13.0, 8.0, 1.0, 0.0, 0.0, 1.0, 15.0, 9.0, 8.0, 6.0, 0.0, 0.0, 0.0, 10.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 16.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 6.0, 5.0, 10.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 14.0, 16.0, 0.0, 0.0, 0.0, 0.0, 6.0, 14.0, 14.0, 4.0, 0.0, 0.0, 0.0, 1.0, 10.0, 14.0, 2.0, 0.0, 0.0, 0.0], [0.0, 0.0, 4.0, 14.0, 11.0, 3.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 12.0, 14.0, 1.0, 0.0, 0.0, 1.0, 14.0, 12.0, 0.0, 13.0, 3.0, 0.0, 0.0, 5.0, 16.0, 6.0, 0.0, 8.0, 6.0, 0.0, 0.0, 8.0, 16.0, 0.0, 0.0, 9.0, 8.0, 0.0, 0.0, 7.0, 16.0, 3.0, 7.0, 16.0, 5.0, 0.0, 0.0, 3.0, 15.0, 13.0, 16.0, 15.0, 2.0, 0.0, 0.0, 0.0, 4.0, 15.0, 12.0, 2.0, 0.0, 0.0], [0.0, 0.0, 12.0, 16.0, 14.0, 8.0, 0.0, 0.0, 0.0, 7.0, 16.0, 10.0, 14.0, 16.0, 0.0, 0.0, 0.0, 4.0, 16.0, 11.0, 14.0, 16.0, 4.0, 0.0, 0.0, 0.0, 5.0, 14.0, 16.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 6.0, 0.0, 0.0, 2.0, 12.0, 9.0, 16.0, 15.0, 1.0, 0.0, 0.0, 1.0, 9.0, 16.0, 14.0, 3.0, 0.0, 0.0], [0.0, 0.0, 7.0, 14.0, 11.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 13.0, 2.0, 2.0, 1.0, 0.0, 0.0, 3.0, 16.0, 9.0, 4.0, 13.0, 4.0, 0.0, 0.0, 0.0, 7.0, 16.0, 16.0, 14.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 16.0, 9.0, 10.0, 15.0, 0.0, 0.0, 0.0, 1.0, 16.0, 2.0, 5.0, 16.0, 4.0, 0.0, 0.0, 0.0, 7.0, 15.0, 16.0, 16.0, 3.0, 0.0], [0.0, 0.0, 9.0, 16.0, 14.0, 6.0, 0.0, 0.0, 0.0, 6.0, 16.0, 5.0, 10.0, 16.0, 0.0, 0.0, 0.0, 2.0, 15.0, 7.0, 10.0, 16.0, 3.0, 0.0, 0.0, 0.0, 4.0, 8.0, 12.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 8.0, 0.0, 0.0, 0.0, 3.0, 0.0, 8.0, 16.0, 1.0, 0.0, 0.0, 0.0, 10.0, 16.0, 13.0, 4.0, 0.0, 0.0], [0.0, 1.0, 15.0, 14.0, 2.0, 0.0, 0.0, 0.0, 0.0, 6.0, 14.0, 0.0, 0.0, 3.0, 2.0, 0.0, 0.0, 2.0, 16.0, 3.0, 2.0, 13.0, 3.0, 0.0, 0.0, 0.0, 11.0, 14.0, 15.0, 9.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 13.0, 14.0, 0.0, 0.0, 0.0, 0.0, 2.0, 15.0, 4.0, 16.0, 3.0, 0.0, 0.0, 0.0, 1.0, 15.0, 16.0, 12.0, 1.0, 0.0, 0.0], [0.0, 0.0, 0.0, 5.0, 12.0, 0.0, 2.0, 1.0, 0.0, 0.0, 1.0, 14.0, 4.0, 1.0, 14.0, 8.0, 0.0, 0.0, 10.0, 8.0, 0.0, 9.0, 15.0, 1.0, 0.0, 1.0, 15.0, 1.0, 2.0, 15.0, 8.0, 0.0, 0.0, 5.0, 16.0, 6.0, 11.0, 16.0, 2.0, 0.0, 0.0, 5.0, 16.0, 16.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 15.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 11.0, 0.0, 0.0, 0.0], [0.0, 0.0, 3.0, 14.0, 15.0, 9.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 16.0, 13.0, 0.0, 0.0, 0.0, 2.0, 13.0, 16.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 12.0, 16.0, 16.0, 4.0, 0.0, 0.0, 0.0, 2.0, 13.0, 16.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 12.0, 16.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 16.0, 16.0, 6.0, 0.0, 0.0, 0.0, 2.0, 10.0, 16.0, 16.0, 2.0, 0.0], [0.0, 0.0, 3.0, 12.0, 16.0, 16.0, 15.0, 0.0, 0.0, 0.0, 9.0, 10.0, 7.0, 12.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 15.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 13.0, 0.0, 0.0, 0.0, 1.0, 9.0, 9.0, 16.0, 11.0, 1.0, 0.0, 0.0, 13.0, 16.0, 16.0, 16.0, 16.0, 4.0, 0.0, 0.0, 0.0, 1.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 2.0, 0.0, 0.0, 0.0], [0.0, 0.0, 1.0, 11.0, 16.0, 16.0, 8.0, 0.0, 0.0, 0.0, 5.0, 11.0, 9.0, 16.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 6.0, 0.0, 0.0, 0.0, 6.0, 9.0, 12.0, 16.0, 9.0, 0.0, 0.0, 1.0, 16.0, 16.0, 16.0, 14.0, 3.0, 0.0, 0.0, 0.0, 3.0, 5.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 5.0, 0.0, 0.0, 0.0], [0.0, 0.0, 8.0, 14.0, 16.0, 16.0, 15.0, 1.0, 0.0, 0.0, 6.0, 6.0, 5.0, 12.0, 12.0, 1.0, 0.0, 0.0, 0.0, 2.0, 11.0, 12.0, 3.0, 0.0, 0.0, 0.0, 5.0, 14.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 11.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 2.0, 7.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 9.0, 13.0, 5.0, 0.0, 0.0, 0.0], [0.0, 0.0, 8.0, 12.0, 15.0, 16.0, 5.0, 0.0, 0.0, 0.0, 10.0, 11.0, 2.0, 3.0, 0.0, 0.0, 0.0, 0.0, 13.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 10.0, 12.0, 11.0, 1.0, 0.0, 0.0, 1.0, 16.0, 13.0, 8.0, 14.0, 7.0, 0.0, 0.0, 0.0, 1.0, 0.0, 0.0, 13.0, 3.0, 0.0, 0.0, 0.0, 1.0, 6.0, 12.0, 10.0, 0.0, 0.0, 0.0, 0.0, 10.0, 10.0, 7.0, 0.0, 0.0, 0.0], [0.0, 0.0, 1.0, 7.0, 10.0, 3.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 16.0, 12.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 16.0, 12.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 14.0, 16.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0, 12.0, 16.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 1.0, 9.0, 12.0, 9.0, 0.0, 0.0], [0.0, 0.0, 10.0, 12.0, 14.0, 1.0, 0.0, 0.0, 0.0, 0.0, 16.0, 16.0, 16.0, 12.0, 0.0, 0.0, 0.0, 5.0, 16.0, 8.0, 3.0, 16.0, 0.0, 0.0, 0.0, 8.0, 13.0, 0.0, 0.0, 8.0, 7.0, 0.0, 0.0, 8.0, 12.0, 0.0, 0.0, 6.0, 8.0, 0.0, 0.0, 8.0, 13.0, 0.0, 4.0, 12.0, 8.0, 0.0, 0.0, 7.0, 16.0, 16.0, 16.0, 13.0, 0.0, 0.0, 0.0, 0.0, 11.0, 14.0, 8.0, 1.0, 0.0, 0.0], [0.0, 0.0, 5.0, 12.0, 1.0, 6.0, 0.0, 0.0, 0.0, 0.0, 11.0, 12.0, 0.0, 16.0, 2.0, 0.0, 0.0, 0.0, 16.0, 5.0, 0.0, 12.0, 4.0, 0.0, 0.0, 3.0, 15.0, 0.0, 0.0, 8.0, 4.0, 0.0, 0.0, 7.0, 12.0, 0.0, 0.0, 4.0, 7.0, 0.0, 0.0, 2.0, 15.0, 1.0, 1.0, 12.0, 5.0, 0.0, 0.0, 0.0, 16.0, 11.0, 12.0, 15.0, 3.0, 0.0, 0.0, 0.0, 4.0, 12.0, 12.0, 3.0, 0.0, 0.0], [0.0, 0.0, 13.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 9.0, 13.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 13.0, 15.0, 8.0, 12.0, 11.0, 0.0, 0.0, 0.0, 12.0, 16.0, 16.0, 12.0, 2.0, 0.0], [0.0, 5.0, 15.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 16.0, 11.0, 0.0, 0.0, 0.0, 0.0, 6.0, 10.0, 11.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 16.0, 15.0, 12.0, 11.0, 0.0, 0.0, 6.0, 16.0, 16.0, 16.0, 13.0, 3.0, 0.0], [0.0, 0.0, 7.0, 14.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 14.0, 14.0, 16.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 12.0, 0.0, 0.0, 0.0, 0.0, 4.0, 4.0, 14.0, 9.0, 2.0, 0.0, 0.0, 7.0, 16.0, 16.0, 16.0, 16.0, 7.0, 0.0, 0.0, 6.0, 12.0, 16.0, 11.0, 1.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 13.0, 0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 6.0, 14.0, 9.0, 5.0, 2.0, 0.0, 0.0, 7.0, 15.0, 6.0, 2.0, 12.0, 8.0, 0.0, 0.0, 5.0, 15.0, 2.0, 8.0, 15.0, 1.0, 0.0, 0.0, 1.0, 12.0, 14.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 10.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 9.0, 2.0, 13.0, 8.0, 0.0, 0.0, 0.0, 0.0, 5.0, 14.0, 11.0, 3.0, 0.0, 0.0], [0.0, 4.0, 15.0, 11.0, 1.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 2.0, 6.0, 13.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 13.0, 16.0, 13.0, 12.0, 6.0, 0.0, 0.0, 5.0, 16.0, 15.0, 16.0, 12.0, 3.0, 0.0], [0.0, 0.0, 9.0, 13.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 16.0, 16.0, 12.0, 0.0, 0.0, 0.0, 2.0, 16.0, 7.0, 6.0, 15.0, 3.0, 0.0, 0.0, 8.0, 14.0, 0.0, 0.0, 8.0, 3.0, 0.0, 0.0, 5.0, 14.0, 0.0, 0.0, 8.0, 8.0, 0.0, 0.0, 2.0, 16.0, 13.0, 11.0, 14.0, 4.0, 0.0, 0.0, 3.0, 16.0, 15.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 6.0, 14.0, 8.0, 0.0, 0.0, 0.0], [0.0, 0.0, 5.0, 11.0, 12.0, 5.0, 0.0, 0.0, 0.0, 0.0, 12.0, 6.0, 2.0, 3.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 12.0, 16.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 12.0, 16.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 12.0, 16.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 12.0, 16.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 6.0, 12.0, 11.0, 7.0, 0.0, 0.0], [0.0, 2.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 3.0, 10.0, 12.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 15.0, 15.0, 12.0, 5.0, 0.0, 0.0, 2.0, 16.0, 16.0, 16.0, 16.0, 15.0, 2.0, 0.0, 2.0, 15.0, 14.0, 12.0, 12.0, 7.0, 0.0], [0.0, 0.0, 1.0, 13.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 10.0, 2.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 16.0, 16.0, 10.0, 1.0, 0.0, 0.0, 4.0, 16.0, 6.0, 2.0, 14.0, 7.0, 0.0, 0.0, 0.0, 11.0, 15.0, 12.0, 15.0, 8.0, 0.0, 0.0, 0.0, 2.0, 14.0, 15.0, 6.0, 0.0, 0.0], [0.0, 0.0, 5.0, 13.0, 16.0, 10.0, 1.0, 0.0, 0.0, 7.0, 16.0, 16.0, 16.0, 16.0, 7.0, 0.0, 0.0, 0.0, 5.0, 2.0, 11.0, 14.0, 5.0, 0.0, 0.0, 0.0, 0.0, 10.0, 15.0, 6.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 13.0, 2.0, 0.0, 0.0, 0.0, 0.0, 4.0, 11.0, 15.0, 14.0, 0.0, 0.0, 0.0, 0.0, 2.0, 2.0, 13.0, 16.0, 1.0, 0.0, 0.0, 0.0, 5.0, 14.0, 15.0, 9.0, 0.0, 0.0], [0.0, 0.0, 6.0, 11.0, 16.0, 13.0, 5.0, 0.0, 0.0, 2.0, 16.0, 16.0, 16.0, 16.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 10.0, 15.0, 5.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 16.0, 13.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 14.0, 0.0, 0.0, 0.0, 0.0, 5.0, 14.0, 11.0, 6.0, 0.0, 0.0], [0.0, 0.0, 2.0, 14.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 4.0, 12.0, 16.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 9.0, 0.0, 0.0, 0.0, 2.0, 5.0, 10.0, 16.0, 12.0, 2.0, 0.0, 0.0, 16.0, 16.0, 16.0, 16.0, 14.0, 3.0, 0.0, 0.0, 4.0, 4.0, 14.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 7.0, 0.0, 0.0, 0.0], [0.0, 0.0, 4.0, 12.0, 13.0, 1.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 16.0, 11.0, 4.0, 0.0, 0.0, 0.0, 0.0, 4.0, 8.0, 16.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 14.0, 14.0, 0.0, 0.0, 0.0, 0.0, 4.0, 15.0, 16.0, 11.0, 0.0, 0.0, 0.0, 5.0, 16.0, 14.0, 8.0, 0.0, 0.0], [0.0, 1.0, 9.0, 16.0, 16.0, 12.0, 1.0, 0.0, 0.0, 0.0, 7.0, 8.0, 10.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 4.0, 0.0, 0.0, 0.0, 5.0, 13.0, 13.0, 3.0, 0.0, 0.0, 0.0, 0.0, 13.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 3.0, 5.0, 14.0, 15.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 11.0, 4.0, 0.0, 0.0], [0.0, 0.0, 0.0, 2.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 12.0, 0.0, 0.0, 13.0, 5.0, 0.0, 0.0, 13.0, 8.0, 0.0, 9.0, 14.0, 0.0, 0.0, 4.0, 16.0, 16.0, 12.0, 16.0, 4.0, 0.0, 0.0, 4.0, 12.0, 12.0, 15.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 15.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 10.0, 0.0, 0.0, 0.0], [0.0, 0.0, 4.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 12.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 11.0, 2.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 16.0, 16.0, 13.0, 1.0, 0.0, 0.0, 2.0, 16.0, 14.0, 15.0, 16.0, 5.0, 0.0, 0.0, 0.0, 5.0, 15.0, 14.0, 7.0, 0.0, 0.0], [0.0, 0.0, 5.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 14.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 9.0, 1.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 16.0, 16.0, 9.0, 0.0, 0.0, 0.0, 1.0, 16.0, 10.0, 8.0, 16.0, 6.0, 0.0, 0.0, 0.0, 12.0, 14.0, 5.0, 9.0, 13.0, 0.0, 0.0, 0.0, 4.0, 15.0, 15.0, 12.0, 3.0, 0.0], [0.0, 0.0, 3.0, 14.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 2.0, 5.0, 2.0, 0.0, 0.0, 0.0, 4.0, 16.0, 2.0, 12.0, 15.0, 2.0, 0.0, 0.0, 1.0, 14.0, 13.0, 2.0, 13.0, 11.0, 0.0, 0.0, 0.0, 3.0, 11.0, 16.0, 13.0, 4.0, 0.0], [0.0, 0.0, 0.0, 1.0, 15.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 9.0, 0.0, 6.0, 0.0, 0.0, 0.0, 6.0, 15.0, 1.0, 11.0, 15.0, 0.0, 0.0, 5.0, 16.0, 14.0, 10.0, 16.0, 8.0, 0.0, 1.0, 15.0, 16.0, 16.0, 16.0, 16.0, 3.0, 0.0, 0.0, 3.0, 7.0, 5.0, 13.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 3.0, 0.0, 0.0], [0.0, 0.0, 10.0, 16.0, 9.0, 1.0, 0.0, 0.0, 0.0, 7.0, 16.0, 9.0, 14.0, 11.0, 0.0, 0.0, 0.0, 8.0, 14.0, 1.0, 7.0, 14.0, 2.0, 0.0, 0.0, 2.0, 14.0, 14.0, 14.0, 15.0, 3.0, 0.0, 0.0, 0.0, 2.0, 4.0, 4.0, 16.0, 4.0, 0.0, 0.0, 0.0, 3.0, 0.0, 0.0, 13.0, 9.0, 0.0, 0.0, 2.0, 15.0, 8.0, 8.0, 14.0, 8.0, 0.0, 0.0, 0.0, 8.0, 15.0, 13.0, 10.0, 0.0, 0.0], [0.0, 0.0, 11.0, 15.0, 12.0, 1.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 12.0, 16.0, 16.0, 16.0, 1.0, 0.0, 0.0, 0.0, 13.0, 16.0, 16.0, 13.0, 2.0, 0.0, 0.0, 0.0, 14.0, 16.0, 16.0, 4.0, 0.0, 0.0, 0.0, 2.0, 16.0, 16.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 16.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 13.0, 1.0, 0.0, 0.0], [0.0, 0.0, 7.0, 12.0, 16.0, 9.0, 0.0, 0.0, 0.0, 4.0, 16.0, 6.0, 7.0, 3.0, 0.0, 0.0, 0.0, 4.0, 16.0, 2.0, 8.0, 3.0, 0.0, 0.0, 0.0, 7.0, 16.0, 15.0, 13.0, 16.0, 3.0, 0.0, 0.0, 5.0, 11.0, 1.0, 1.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 10.0, 11.0, 4.0, 0.0, 0.0, 0.0], [0.0, 0.0, 10.0, 11.0, 7.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 16.0, 16.0, 10.0, 0.0, 0.0, 0.0, 4.0, 16.0, 6.0, 5.0, 15.0, 2.0, 0.0, 0.0, 8.0, 12.0, 0.0, 0.0, 5.0, 8.0, 0.0, 0.0, 8.0, 10.0, 0.0, 0.0, 5.0, 8.0, 0.0, 0.0, 6.0, 13.0, 1.0, 5.0, 14.0, 5.0, 0.0, 0.0, 0.0, 14.0, 13.0, 15.0, 11.0, 1.0, 0.0, 0.0, 0.0, 7.0, 12.0, 8.0, 0.0, 0.0, 0.0], [0.0, 0.0, 8.0, 16.0, 11.0, 0.0, 0.0, 0.0, 0.0, 2.0, 15.0, 8.0, 16.0, 7.0, 0.0, 0.0, 0.0, 3.0, 13.0, 1.0, 14.0, 13.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 16.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 2.0, 5.0, 15.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 6.0, 0.0, 0.0, 0.0, 5.0, 6.0, 5.0, 15.0, 4.0, 0.0, 0.0, 0.0, 6.0, 15.0, 16.0, 12.0, 1.0, 0.0], [0.0, 0.0, 3.0, 10.0, 16.0, 12.0, 0.0, 0.0, 0.0, 0.0, 13.0, 12.0, 0.0, 2.0, 0.0, 0.0, 0.0, 4.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 14.0, 16.0, 14.0, 2.0, 0.0, 0.0, 6.0, 16.0, 12.0, 5.0, 16.0, 5.0, 0.0, 0.0, 1.0, 12.0, 1.0, 0.0, 14.0, 7.0, 0.0, 0.0, 0.0, 0.0, 3.0, 13.0, 13.0, 1.0, 0.0, 0.0, 0.0, 1.0, 13.0, 10.0, 1.0, 0.0, 0.0], [0.0, 4.0, 15.0, 15.0, 8.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 16.0, 16.0, 3.0, 0.0, 0.0, 0.0, 1.0, 0.0, 1.0, 15.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 15.0, 2.0, 0.0, 0.0, 0.0, 0.0, 4.0, 15.0, 16.0, 14.0, 6.0, 0.0, 0.0, 6.0, 16.0, 16.0, 15.0, 11.0, 3.0, 0.0, 0.0, 7.0, 14.0, 11.0, 0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 7.0, 12.0, 10.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 16.0, 16.0, 9.0, 1.0, 0.0, 0.0, 0.0, 8.0, 16.0, 16.0, 11.0, 1.0, 0.0, 0.0, 0.0, 10.0, 16.0, 16.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 14.0, 16.0, 4.0, 0.0, 0.0, 0.0, 4.0, 13.0, 0.0, 7.0, 15.0, 0.0, 0.0, 0.0, 4.0, 14.0, 2.0, 2.0, 16.0, 0.0, 0.0, 0.0, 0.0, 6.0, 11.0, 10.0, 5.0, 0.0, 0.0], [0.0, 2.0, 11.0, 16.0, 13.0, 2.0, 0.0, 0.0, 0.0, 11.0, 15.0, 12.0, 16.0, 7.0, 0.0, 0.0, 0.0, 7.0, 6.0, 0.0, 14.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 4.0, 3.0, 3.0, 0.0, 0.0, 3.0, 15.0, 16.0, 15.0, 15.0, 11.0, 0.0, 0.0, 2.0, 13.0, 12.0, 9.0, 0.0, 0.0, 0.0], [0.0, 0.0, 7.0, 14.0, 8.0, 4.0, 0.0, 0.0, 0.0, 0.0, 16.0, 8.0, 15.0, 14.0, 1.0, 0.0, 0.0, 4.0, 16.0, 4.0, 0.0, 8.0, 4.0, 0.0, 0.0, 8.0, 14.0, 0.0, 0.0, 4.0, 4.0, 0.0, 0.0, 8.0, 16.0, 0.0, 0.0, 4.0, 5.0, 0.0, 0.0, 3.0, 16.0, 1.0, 0.0, 11.0, 4.0, 0.0, 0.0, 0.0, 15.0, 16.0, 16.0, 12.0, 0.0, 0.0, 0.0, 0.0, 6.0, 13.0, 7.0, 0.0, 0.0, 0.0], [0.0, 0.0, 9.0, 15.0, 6.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 16.0, 16.0, 7.0, 0.0, 0.0, 0.0, 4.0, 14.0, 5.0, 11.0, 13.0, 0.0, 0.0, 0.0, 7.0, 12.0, 0.0, 0.0, 12.0, 4.0, 0.0, 0.0, 8.0, 11.0, 0.0, 0.0, 7.0, 5.0, 0.0, 0.0, 4.0, 13.0, 1.0, 1.0, 10.0, 6.0, 0.0, 0.0, 2.0, 16.0, 15.0, 15.0, 14.0, 1.0, 0.0, 0.0, 0.0, 8.0, 15.0, 11.0, 4.0, 0.0, 0.0], [0.0, 0.0, 4.0, 12.0, 12.0, 7.0, 0.0, 0.0, 0.0, 0.0, 16.0, 16.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 16.0, 16.0, 16.0, 16.0, 0.0, 0.0, 0.0, 4.0, 16.0, 16.0, 16.0, 12.0, 0.0, 0.0, 0.0, 4.0, 16.0, 16.0, 16.0, 12.0, 0.0, 0.0, 0.0, 3.0, 15.0, 16.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 12.0, 16.0, 16.0, 8.0, 0.0, 0.0, 0.0, 1.0, 7.0, 12.0, 11.0, 5.0, 0.0, 0.0], [0.0, 0.0, 6.0, 15.0, 14.0, 1.0, 0.0, 0.0, 0.0, 0.0, 13.0, 16.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 3.0, 8.0, 16.0, 2.0, 0.0, 0.0, 0.0, 2.0, 6.0, 12.0, 16.0, 7.0, 2.0, 0.0, 0.0, 13.0, 16.0, 16.0, 16.0, 16.0, 9.0, 0.0, 0.0, 10.0, 13.0, 16.0, 7.0, 1.0, 0.0, 0.0, 0.0, 0.0, 6.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 8.0, 0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 13.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 15.0, 15.0, 6.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 14.0, 13.0, 10.0, 2.0, 0.0, 0.0, 0.0, 12.0, 16.0, 13.0, 16.0, 12.0, 0.0, 0.0, 0.0, 1.0, 10.0, 16.0, 14.0, 4.0, 0.0], [0.0, 0.0, 7.0, 16.0, 16.0, 15.0, 8.0, 0.0, 0.0, 0.0, 12.0, 15.0, 15.0, 16.0, 11.0, 0.0, 0.0, 0.0, 0.0, 3.0, 14.0, 15.0, 2.0, 0.0, 0.0, 0.0, 1.0, 14.0, 12.0, 1.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 15.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 12.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 12.0, 14.0, 1.0, 0.0, 0.0, 0.0, 10.0, 15.0, 10.0, 4.0, 0.0, 0.0], [0.0, 0.0, 11.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 6.0, 15.0, 16.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 11.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 15.0, 2.0, 0.0, 0.0, 0.0, 1.0, 9.0, 15.0, 9.0, 3.0, 0.0, 0.0, 0.0, 0.0, 16.0, 16.0, 16.0, 16.0, 7.0, 0.0, 0.0, 0.0, 10.0, 13.0, 8.0, 4.0, 1.0, 0.0], [0.0, 0.0, 4.0, 10.0, 12.0, 7.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 16.0, 15.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 16.0, 12.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 2.0, 14.0, 16.0, 11.0, 1.0, 0.0, 0.0, 0.0, 0.0, 16.0, 16.0, 16.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 16.0, 12.0, 0.0, 0.0, 0.0, 0.0, 1.0, 9.0, 10.0, 0.0, 0.0, 0.0], [0.0, 0.0, 1.0, 15.0, 15.0, 2.0, 0.0, 0.0, 0.0, 0.0, 3.0, 12.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 3.0, 8.0, 16.0, 4.0, 0.0, 0.0, 0.0, 10.0, 16.0, 16.0, 16.0, 16.0, 8.0, 0.0, 0.0, 8.0, 11.0, 14.0, 14.0, 5.0, 1.0, 0.0, 0.0, 0.0, 0.0, 15.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 15.0, 2.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 0.0, 13.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 10.0, 2.0, 9.0, 0.0, 0.0, 1.0, 11.0, 13.0, 0.0, 10.0, 15.0, 0.0, 0.0, 12.0, 15.0, 5.0, 7.0, 14.0, 10.0, 0.0, 1.0, 15.0, 16.0, 16.0, 16.0, 16.0, 4.0, 0.0, 0.0, 4.0, 4.0, 3.0, 10.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 7.0, 0.0, 0.0], [0.0, 0.0, 0.0, 8.0, 15.0, 3.0, 0.0, 0.0, 0.0, 0.0, 1.0, 15.0, 11.0, 2.0, 0.0, 0.0, 0.0, 0.0, 13.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 15.0, 5.0, 0.0, 0.0, 0.0, 0.0, 3.0, 15.0, 16.0, 11.0, 14.0, 7.0, 0.0, 0.0, 0.0, 11.0, 16.0, 6.0, 6.0, 15.0, 0.0, 0.0, 0.0, 0.0, 10.0, 14.0, 12.0, 8.0, 0.0], [0.0, 0.0, 10.0, 15.0, 15.0, 11.0, 4.0, 0.0, 0.0, 1.0, 10.0, 5.0, 7.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 1.0, 14.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 10.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 7.0, 15.0, 3.0, 0.0, 0.0, 0.0, 6.0, 11.0, 16.0, 8.0, 0.0, 0.0], [0.0, 0.0, 4.0, 16.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 16.0, 15.0, 1.0, 0.0, 0.0, 0.0, 4.0, 16.0, 16.0, 12.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 16.0, 15.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 16.0, 6.0, 0.0, 0.0, 0.0, 1.0, 13.0, 16.0, 16.0, 4.0, 0.0, 0.0, 0.0, 3.0, 16.0, 16.0, 15.0, 2.0, 0.0, 0.0, 0.0, 0.0, 6.0, 12.0, 12.0, 2.0, 0.0, 0.0], [0.0, 0.0, 3.0, 13.0, 16.0, 5.0, 0.0, 0.0, 0.0, 6.0, 15.0, 9.0, 15.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 7.0, 14.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 16.0, 14.0, 3.0, 0.0, 0.0, 0.0, 0.0, 3.0, 2.0, 15.0, 10.0, 0.0, 0.0, 0.0, 4.0, 5.0, 12.0, 16.0, 14.0, 0.0, 0.0, 0.0, 5.0, 13.0, 14.0, 8.0, 2.0, 0.0], [0.0, 0.0, 7.0, 16.0, 9.0, 8.0, 2.0, 0.0, 0.0, 5.0, 16.0, 14.0, 16.0, 16.0, 4.0, 0.0, 0.0, 8.0, 14.0, 0.0, 6.0, 16.0, 4.0, 0.0, 0.0, 1.0, 16.0, 16.0, 15.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 4.0, 4.0, 13.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 8.0, 0.0, 0.0, 0.0, 12.0, 9.0, 11.0, 16.0, 7.0, 0.0, 0.0, 0.0, 7.0, 15.0, 14.0, 7.0, 0.0, 0.0], [0.0, 0.0, 1.0, 12.0, 10.0, 3.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 12.0, 16.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 14.0, 16.0, 16.0, 2.0, 0.0, 0.0, 0.0, 1.0, 15.0, 16.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 15.0, 16.0, 15.0, 2.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 1.0, 7.0, 12.0, 10.0, 0.0, 0.0], [0.0, 0.0, 1.0, 10.0, 16.0, 16.0, 1.0, 0.0, 0.0, 0.0, 9.0, 16.0, 13.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 12.0, 12.0, 5.0, 0.0, 0.0, 0.0, 7.0, 16.0, 16.0, 10.0, 4.0, 0.0, 0.0, 0.0, 3.0, 11.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 2.0, 13.0, 13.0, 1.0, 0.0, 0.0, 0.0, 0.0, 12.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 9.0, 3.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 14.0, 12.0, 13.0, 4.0, 0.0, 0.0, 0.0, 14.0, 10.0, 0.0, 10.0, 15.0, 0.0, 0.0, 0.0, 2.0, 12.0, 16.0, 13.0, 7.0, 0.0], [0.0, 0.0, 5.0, 12.0, 13.0, 4.0, 0.0, 0.0, 0.0, 3.0, 16.0, 10.0, 2.0, 5.0, 9.0, 0.0, 0.0, 0.0, 15.0, 14.0, 11.0, 15.0, 3.0, 0.0, 0.0, 0.0, 7.0, 16.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 8.0, 14.0, 13.0, 12.0, 0.0, 0.0, 0.0, 0.0, 12.0, 12.0, 13.0, 11.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 11.0, 2.0, 0.0, 0.0], [0.0, 0.0, 0.0, 3.0, 13.0, 7.0, 0.0, 0.0, 0.0, 0.0, 1.0, 14.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 12.0, 1.0, 2.0, 3.0, 0.0, 0.0, 7.0, 16.0, 4.0, 1.0, 15.0, 10.0, 0.0, 0.0, 10.0, 14.0, 0.0, 7.0, 16.0, 8.0, 0.0, 0.0, 15.0, 16.0, 16.0, 16.0, 16.0, 1.0, 0.0, 0.0, 4.0, 11.0, 11.0, 15.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 15.0, 4.0, 0.0, 0.0], [0.0, 1.0, 7.0, 13.0, 16.0, 13.0, 0.0, 0.0, 0.0, 7.0, 16.0, 16.0, 16.0, 14.0, 0.0, 0.0, 0.0, 1.0, 7.0, 16.0, 10.0, 1.0, 0.0, 0.0, 0.0, 1.0, 16.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 15.0, 14.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 14.0, 15.0, 3.0, 0.0, 0.0, 0.0, 1.0, 5.0, 13.0, 16.0, 7.0, 0.0, 0.0, 0.0, 8.0, 15.0, 10.0, 6.0, 0.0, 0.0], [0.0, 0.0, 8.0, 12.0, 11.0, 6.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 16.0, 13.0, 2.0, 0.0, 0.0, 2.0, 14.0, 16.0, 16.0, 14.0, 2.0, 0.0, 0.0, 2.0, 13.0, 16.0, 16.0, 8.0, 0.0, 0.0, 0.0, 4.0, 16.0, 16.0, 16.0, 8.0, 0.0, 0.0, 0.0, 4.0, 16.0, 16.0, 16.0, 10.0, 0.0, 0.0, 0.0, 1.0, 11.0, 16.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 4.0, 11.0, 12.0, 7.0, 0.0, 0.0], [0.0, 0.0, 0.0, 2.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 15.0, 9.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 12.0, 0.0, 9.0, 12.0, 0.0, 0.0, 9.0, 16.0, 16.0, 16.0, 16.0, 10.0, 0.0, 0.0, 1.0, 6.0, 10.0, 14.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 7.0, 0.0, 0.0], [0.0, 0.0, 5.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 14.0, 14.0, 1.0, 12.0, 0.0, 0.0, 0.0, 0.0, 15.0, 10.0, 0.0, 7.0, 4.0, 0.0, 0.0, 2.0, 16.0, 7.0, 0.0, 2.0, 9.0, 0.0, 0.0, 2.0, 16.0, 8.0, 0.0, 6.0, 11.0, 0.0, 0.0, 1.0, 12.0, 14.0, 14.0, 16.0, 5.0, 0.0, 0.0, 0.0, 4.0, 15.0, 16.0, 8.0, 1.0, 0.0], [0.0, 0.0, 9.0, 12.0, 14.0, 6.0, 0.0, 0.0, 0.0, 0.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 15.0, 12.0, 16.0, 9.0, 1.0, 0.0, 0.0, 1.0, 8.0, 6.0, 2.0, 12.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 15.0, 2.0, 0.0, 0.0, 0.0, 12.0, 14.0, 9.0, 2.0, 0.0, 0.0], [0.0, 2.0, 10.0, 12.0, 16.0, 8.0, 0.0, 0.0, 0.0, 4.0, 8.0, 5.0, 13.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 15.0, 7.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 5.0, 0.0, 0.0, 2.0, 14.0, 16.0, 12.0, 9.0, 0.0, 0.0], [0.0, 0.0, 0.0, 6.0, 12.0, 6.0, 0.0, 0.0, 0.0, 0.0, 1.0, 15.0, 14.0, 1.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 1.0, 13.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 16.0, 11.0, 4.0, 0.0, 0.0, 0.0, 0.0, 16.0, 16.0, 16.0, 16.0, 7.0, 0.0, 0.0, 0.0, 9.0, 16.0, 16.0, 16.0, 12.0, 0.0, 0.0, 0.0, 0.0, 6.0, 11.0, 12.0, 5.0, 0.0], [0.0, 0.0, 5.0, 14.0, 11.0, 8.0, 0.0, 0.0, 0.0, 4.0, 15.0, 2.0, 16.0, 16.0, 0.0, 0.0, 0.0, 8.0, 12.0, 0.0, 12.0, 16.0, 0.0, 0.0, 0.0, 2.0, 15.0, 16.0, 16.0, 15.0, 4.0, 0.0, 0.0, 0.0, 0.0, 4.0, 10.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 2.0, 0.0, 0.0, 3.0, 13.0, 8.0, 14.0, 16.0, 0.0, 0.0, 0.0, 0.0, 7.0, 15.0, 12.0, 5.0, 0.0, 0.0], [0.0, 0.0, 2.0, 13.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 8.0, 2.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 16.0, 16.0, 11.0, 0.0, 0.0, 0.0, 4.0, 16.0, 2.0, 4.0, 11.0, 9.0, 0.0, 0.0, 1.0, 13.0, 11.0, 8.0, 12.0, 12.0, 0.0, 0.0, 0.0, 1.0, 12.0, 16.0, 14.0, 4.0, 0.0], [0.0, 0.0, 6.0, 12.0, 12.0, 6.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 16.0, 13.0, 0.0, 0.0, 0.0, 0.0, 12.0, 16.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 16.0, 12.0, 0.0, 0.0, 0.0, 2.0, 13.0, 16.0, 16.0, 12.0, 0.0, 0.0, 0.0, 1.0, 16.0, 16.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 16.0, 16.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 2.0, 11.0, 10.0, 4.0, 0.0, 0.0], [0.0, 0.0, 6.0, 16.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 16.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 15.0, 11.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 16.0, 16.0, 13.0, 0.0, 0.0, 0.0, 11.0, 16.0, 16.0, 5.0, 1.0, 0.0, 0.0, 0.0, 0.0, 14.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 11.0, 0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 12.0, 16.0, 16.0, 7.0, 0.0, 0.0, 0.0, 3.0, 16.0, 10.0, 2.0, 2.0, 0.0, 0.0, 0.0, 4.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 12.0, 12.0, 9.0, 1.0, 0.0, 0.0, 1.0, 15.0, 16.0, 12.0, 15.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 14.0, 11.0, 0.0, 0.0, 0.0, 3.0, 9.0, 16.0, 16.0, 7.0, 0.0, 0.0, 0.0, 10.0, 12.0, 12.0, 4.0, 0.0, 0.0], [0.0, 0.0, 0.0, 2.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 10.0, 5.0, 7.0, 0.0, 0.0, 0.0, 11.0, 15.0, 2.0, 13.0, 7.0, 0.0, 0.0, 10.0, 16.0, 8.0, 8.0, 16.0, 6.0, 0.0, 0.0, 8.0, 12.0, 12.0, 13.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 13.0, 3.0, 0.0, 0.0], [0.0, 0.0, 0.0, 1.0, 13.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 15.0, 3.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 9.0, 2.0, 1.0, 0.0, 0.0, 2.0, 14.0, 13.0, 1.0, 16.0, 6.0, 0.0, 0.0, 11.0, 16.0, 6.0, 8.0, 16.0, 3.0, 0.0, 1.0, 16.0, 16.0, 16.0, 16.0, 13.0, 0.0, 0.0, 0.0, 7.0, 12.0, 13.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 7.0, 0.0, 0.0], [0.0, 0.0, 3.0, 10.0, 16.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 14.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 15.0, 4.0, 0.0, 0.0, 0.0, 4.0, 4.0, 12.0, 15.0, 5.0, 0.0, 0.0, 1.0, 15.0, 16.0, 16.0, 9.0, 4.0, 0.0, 0.0, 0.0, 2.0, 11.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 12.0, 0.0, 0.0, 0.0, 0.0], [0.0, 3.0, 14.0, 15.0, 6.0, 0.0, 0.0, 0.0, 0.0, 7.0, 15.0, 14.0, 15.0, 0.0, 0.0, 0.0, 0.0, 2.0, 7.0, 2.0, 14.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 14.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 15.0, 2.0, 0.0, 0.0, 0.0, 0.0, 5.0, 15.0, 14.0, 4.0, 1.0, 0.0, 0.0, 4.0, 15.0, 16.0, 16.0, 16.0, 6.0, 0.0, 0.0, 4.0, 15.0, 13.0, 12.0, 11.0, 1.0, 0.0], [0.0, 0.0, 10.0, 16.0, 14.0, 5.0, 0.0, 0.0, 0.0, 2.0, 16.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 14.0, 14.0, 13.0, 11.0, 0.0, 0.0, 0.0, 5.0, 16.0, 1.0, 6.0, 15.0, 0.0, 0.0, 0.0, 7.0, 14.0, 9.0, 13.0, 15.0, 1.0, 0.0, 0.0, 1.0, 11.0, 16.0, 15.0, 6.0, 0.0, 0.0], [0.0, 1.0, 10.0, 13.0, 2.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 16.0, 12.0, 0.0, 0.0, 0.0, 0.0, 9.0, 9.0, 8.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 1.0, 11.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 13.0, 2.0, 0.0, 0.0, 0.0, 0.0, 14.0, 16.0, 16.0, 16.0, 13.0, 0.0, 0.0, 0.0, 9.0, 13.0, 11.0, 10.0, 9.0, 0.0], [0.0, 0.0, 15.0, 13.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 14.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 4.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 8.0, 6.0, 5.0, 0.0, 0.0, 0.0, 13.0, 16.0, 16.0, 16.0, 14.0, 0.0, 0.0, 0.0, 10.0, 13.0, 10.0, 6.0, 2.0, 0.0], [0.0, 0.0, 1.0, 10.0, 14.0, 13.0, 1.0, 0.0, 0.0, 0.0, 8.0, 12.0, 6.0, 4.0, 0.0, 0.0, 0.0, 0.0, 14.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 12.0, 13.0, 12.0, 0.0, 0.0, 0.0, 2.0, 11.0, 11.0, 8.0, 14.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 15.0, 2.0, 0.0, 0.0, 0.0, 0.0, 12.0, 14.0, 4.0, 0.0, 0.0], [0.0, 1.0, 10.0, 16.0, 15.0, 2.0, 0.0, 0.0, 0.0, 1.0, 12.0, 13.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 7.0, 11.0, 16.0, 13.0, 8.0, 0.0, 0.0, 8.0, 16.0, 16.0, 16.0, 16.0, 6.0, 0.0, 0.0, 2.0, 10.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 15.0, 2.0, 0.0, 0.0, 0.0], [0.0, 0.0, 4.0, 14.0, 15.0, 6.0, 0.0, 0.0, 0.0, 5.0, 16.0, 16.0, 16.0, 16.0, 0.0, 0.0, 0.0, 5.0, 16.0, 16.0, 16.0, 16.0, 3.0, 0.0, 0.0, 0.0, 2.0, 8.0, 13.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 8.0, 0.0, 0.0, 0.0, 1.0, 6.0, 13.0, 16.0, 6.0, 0.0, 0.0, 0.0, 4.0, 13.0, 15.0, 9.0, 0.0, 0.0], [0.0, 0.0, 10.0, 16.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0, 16.0, 12.0, 5.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 9.0, 4.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 16.0, 16.0, 14.0, 2.0, 0.0, 0.0, 1.0, 10.0, 4.0, 1.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 7.0, 0.0, 0.0, 0.0, 7.0, 8.0, 14.0, 16.0, 3.0, 0.0, 0.0, 0.0, 6.0, 13.0, 10.0, 4.0, 0.0, 0.0], [0.0, 0.0, 0.0, 1.0, 12.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 15.0, 2.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 6.0, 1.0, 2.0, 0.0, 0.0, 4.0, 16.0, 9.0, 1.0, 15.0, 9.0, 0.0, 0.0, 13.0, 15.0, 6.0, 10.0, 16.0, 6.0, 0.0, 0.0, 12.0, 16.0, 16.0, 16.0, 16.0, 1.0, 0.0, 0.0, 1.0, 7.0, 4.0, 14.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 9.0, 0.0, 0.0], [0.0, 0.0, 8.0, 16.0, 3.0, 0.0, 1.0, 0.0, 0.0, 0.0, 16.0, 14.0, 5.0, 14.0, 12.0, 0.0, 0.0, 0.0, 8.0, 16.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 14.0, 1.0, 0.0, 0.0, 0.0, 0.0, 12.0, 16.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 16.0, 11.0, 16.0, 4.0, 0.0, 0.0, 0.0, 3.0, 16.0, 16.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 10.0, 1.0, 0.0, 0.0], [0.0, 0.0, 5.0, 12.0, 8.0, 0.0, 1.0, 0.0, 0.0, 0.0, 11.0, 16.0, 5.0, 13.0, 6.0, 0.0, 0.0, 0.0, 2.0, 15.0, 16.0, 12.0, 1.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 1.0, 15.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 16.0, 11.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 6.0, 12.0, 12.0, 3.0, 0.0, 0.0], [0.0, 0.0, 0.0, 3.0, 15.0, 4.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 15.0, 3.0, 4.0, 3.0, 0.0, 0.0, 7.0, 16.0, 5.0, 3.0, 15.0, 8.0, 0.0, 0.0, 13.0, 16.0, 13.0, 15.0, 16.0, 2.0, 0.0, 0.0, 12.0, 16.0, 16.0, 16.0, 13.0, 0.0, 0.0, 0.0, 0.0, 4.0, 5.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 4.0, 0.0, 0.0], [0.0, 0.0, 4.0, 10.0, 13.0, 6.0, 0.0, 0.0, 0.0, 1.0, 16.0, 14.0, 12.0, 16.0, 3.0, 0.0, 0.0, 4.0, 16.0, 6.0, 3.0, 16.0, 4.0, 0.0, 0.0, 0.0, 12.0, 16.0, 16.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 4.0, 4.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 5.0, 0.0, 0.0, 0.0, 5.0, 7.0, 7.0, 16.0, 4.0, 0.0, 0.0, 0.0, 2.0, 14.0, 15.0, 9.0, 0.0, 0.0], [0.0, 0.0, 6.0, 16.0, 13.0, 11.0, 1.0, 0.0, 0.0, 0.0, 16.0, 15.0, 12.0, 16.0, 1.0, 0.0, 0.0, 3.0, 16.0, 7.0, 0.0, 13.0, 6.0, 0.0, 0.0, 4.0, 16.0, 0.0, 0.0, 10.0, 8.0, 0.0, 0.0, 8.0, 16.0, 0.0, 0.0, 14.0, 6.0, 0.0, 0.0, 5.0, 16.0, 7.0, 9.0, 16.0, 5.0, 0.0, 0.0, 1.0, 15.0, 16.0, 16.0, 16.0, 1.0, 0.0, 0.0, 0.0, 6.0, 16.0, 14.0, 6.0, 0.0, 0.0], [0.0, 0.0, 1.0, 11.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0, 13.0, 16.0, 8.0, 2.0, 1.0, 0.0, 0.0, 0.0, 16.0, 15.0, 10.0, 16.0, 5.0, 0.0, 0.0, 0.0, 8.0, 16.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 16.0, 14.0, 16.0, 15.0, 0.0, 0.0, 0.0, 0.0, 15.0, 15.0, 15.0, 16.0, 0.0, 0.0, 0.0, 0.0, 2.0, 9.0, 13.0, 6.0, 0.0, 0.0], [0.0, 0.0, 2.0, 10.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 16.0, 16.0, 15.0, 1.0, 0.0, 0.0, 4.0, 16.0, 7.0, 3.0, 16.0, 7.0, 0.0, 0.0, 5.0, 16.0, 10.0, 7.0, 16.0, 4.0, 0.0, 0.0, 0.0, 5.0, 14.0, 14.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 2.0, 0.0, 0.0, 0.0, 4.0, 7.0, 7.0, 16.0, 2.0, 0.0, 0.0, 0.0, 5.0, 12.0, 16.0, 12.0, 0.0, 0.0], [0.0, 0.0, 10.0, 14.0, 8.0, 1.0, 0.0, 0.0, 0.0, 2.0, 16.0, 14.0, 6.0, 1.0, 0.0, 0.0, 0.0, 0.0, 15.0, 15.0, 8.0, 15.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 12.0, 15.0, 15.0, 12.0, 0.0, 0.0, 0.0, 4.0, 16.0, 6.0, 4.0, 16.0, 6.0, 0.0, 0.0, 8.0, 16.0, 10.0, 8.0, 16.0, 8.0, 0.0, 0.0, 1.0, 8.0, 12.0, 14.0, 12.0, 1.0, 0.0]], target: [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 0, 9, 5, 5, 6, 5, 0, 9, 8, 9, 8, 4, 1, 7, 7, 3, 5, 1, 0, 0, 2, 2, 7, 8, 2, 0, 1, 2, 6, 3, 3, 7, 3, 3, 4, 6, 6, 6, 4, 9, 1, 5, 0, 9, 5, 2, 8, 2, 0, 0, 1, 7, 6, 3, 2, 1, 7, 4, 6, 3, 1, 3, 9, 1, 7, 6, 8, 4, 3, 1, 4, 0, 5, 3, 6, 9, 6, 1, 7, 5, 4, 4, 7, 2, 8, 2, 2, 5, 7, 9, 5, 4, 8, 8, 4, 9, 0, 8, 9, 8, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 0, 9, 5, 5, 6, 5, 0, 9, 8, 9, 8, 4, 1, 7, 7, 3, 5, 1, 0, 0, 2, 2, 7, 8, 2, 0, 1, 2, 6, 3, 3, 7, 3, 3, 4, 6, 6, 6, 4, 9, 1, 5, 0, 9, 5, 2, 8, 2, 0, 0, 1, 7, 6, 3, 2, 1, 7, 3, 1, 3, 9, 1, 7, 6, 8, 4, 3, 1, 4, 0, 5, 3, 6, 9, 6, 1, 7, 5, 4, 4, 7, 2, 8, 2, 2, 5, 5, 4, 8, 8, 4, 9, 0, 8, 9, 8, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 0, 9, 5, 5, 6, 5, 0, 9, 8, 9, 8, 4, 1, 7, 7, 3, 5, 1, 0, 0, 2, 2, 7, 8, 2, 0, 1, 2, 6, 3, 3, 7, 3, 3, 4, 6, 6, 6, 4, 9, 1, 5, 0, 9, 5, 2, 8, 2, 0, 0, 1, 7, 6, 3, 2, 1, 7, 4, 6, 3, 1, 3, 9, 1, 7, 6, 8, 4, 3, 1, 4, 0, 5, 3, 6, 9, 6, 1, 7, 5, 4, 4, 7, 2, 8, 2, 2, 5, 7, 9, 5, 4, 8, 8, 4, 9, 0, 8, 9, 3, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 0, 9, 5, 5, 6, 5, 0, 9, 8, 9, 8, 4, 1, 7, 7, 3, 5, 1, 0, 0, 2, 2, 7, 8, 2, 0, 1, 2, 6, 3, 3, 7, 3, 3, 4, 6, 6, 6, 4, 9, 1, 5, 0, 9, 5, 2, 8, 2, 0, 0, 1, 7, 6, 3, 2, 1, 7, 4, 6, 3, 1, 3, 9, 1, 7, 6, 8, 4, 3, 1, 4, 0, 5, 3, 6, 9, 6, 1, 7, 5, 4, 4, 7, 2, 8, 2, 2, 5, 7, 9, 5, 4, 8, 8, 4, 9, 0, 8, 9, 8, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 0, 9, 5, 5, 6, 5, 0, 9, 8, 9, 8, 4, 1, 7, 7, 3, 5, 1, 0, 0, 2, 2, 7, 8, 2, 0, 1, 2, 6, 3, 3, 7, 3, 3, 4, 6, 6, 6, 4, 9, 1, 5, 0, 9, 5, 2, 8, 2, 0, 0, 1, 7, 6, 3, 2, 1, 7, 4, 6, 3, 1, 3, 9, 1, 7, 6, 8, 4, 3, 1, 4, 0, 5, 3, 6, 9, 6, 1, 7, 5, 4, 4, 7, 2, 8, 2, 2, 5, 7, 9, 5, 4, 8, 8, 4, 9, 0, 8, 9, 8, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 0, 9, 5, 5, 6, 5, 0, 9, 8, 9, 8, 4, 1, 7, 7, 3, 5, 1, 0, 0, 2, 2, 7, 8, 2, 0, 1, 2, 6, 3, 3, 7, 3, 3, 4, 6, 6, 6, 4, 9, 1, 5, 0, 9, 5, 2, 8, 2, 0, 0, 1, 7, 6, 3, 2, 1, 7, 4, 6, 3, 1, 3, 9, 1, 7, 6, 8, 4, 3, 1, 4, 0, 5, 3, 6, 9, 6, 1, 7, 5, 4, 4, 7, 2, 8, 2, 2, 5, 7, 9, 5, 4, 8, 8, 4, 9, 0, 8, 9, 8, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 0, 9, 5, 5, 6, 5, 0, 9, 8, 9, 8, 4, 1, 7, 7, 3, 5, 1, 0, 0, 2, 2, 7, 8, 2, 0, 1, 2, 6, 3, 3, 7, 3, 3, 4, 6, 6, 6, 4, 9, 1, 5, 0, 9, 5, 2, 8, 2, 0, 0, 1, 7, 6, 3, 2, 1, 7, 4, 6, 3, 1, 3, 9, 1, 7, 6, 8, 4, 3, 1, 4, 0, 5, 3, 6, 9, 6, 1, 7, 5, 4, 4, 7, 2, 8, 2, 2, 5, 7, 9, 5, 4, 8, 8, 4, 9, 0, 8, 9, 8, 1, 2, 3, 4, 5, 6, 7, 8, 9, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 0, 9, 5, 5, 6, 5, 0, 9, 8, 9, 8, 4, 1, 7, 7, 3, 5, 1, 2, 7, 8, 2, 0, 1, 2, 6, 3, 3, 7, 3, 3, 4, 6, 6, 6, 4, 9, 1, 5, 0, 9, 5, 2, 8, 2, 0, 0, 1, 7, 6, 3, 2, 1, 4, 6, 3, 1, 3, 9, 1, 7, 6, 8, 4, 3, 1, 4, 0, 5, 3, 6, 9, 6, 1, 7, 5, 4, 4, 7, 2, 8, 2, 2, 5, 7, 9, 5, 4, 4, 9, 0, 8, 9, 8, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 0, 9, 5, 5, 6, 5, 0, 9, 8, 9, 8, 4, 1, 7, 7, 3, 5, 1, 0, 0, 7, 8, 2, 0, 1, 2, 6, 3, 3, 7, 3, 3, 4, 6, 6, 6, 4, 9, 1, 5, 0, 9, 5, 2, 8, 2, 0, 0, 1, 7, 6, 3, 2, 1, 7, 4, 6, 3, 1, 3, 9, 1, 7, 6, 8, 4, 3, 1, 4, 0, 5, 3, 6, 9, 6, 1, 7, 5, 4, 4, 7, 2, 8, 2, 2, 5, 7, 9, 5, 4, 8, 8, 4, 9, 0, 8, 9, 8, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 0, 9, 5, 5, 6, 5, 0, 9, 8, 9, 8, 4, 1, 7, 7, 3, 5, 1, 0, 0, 2, 2, 7, 8, 2, 0, 1, 2, 6, 3, 3, 7, 3, 3, 4, 6, 6, 6, 4, 9, 1, 5, 0, 9, 5, 2, 8, 2, 0, 0, 1, 7, 6, 3, 2, 1, 7, 4, 6, 3, 1, 3, 9, 1, 7, 6, 8, 4, 3, 1, 4, 0, 5, 3, 6, 9, 6, 1, 7, 5, 4, 4, 7, 2, 8, 2, 2, 5, 7, 9, 5, 4, 8, 8, 4, 9, 0, 8, 9, 8, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 0, 9, 5, 5, 6, 5, 0, 9, 8, 9, 8, 4, 1, 7, 7, 3, 5, 1, 0, 0, 2, 2, 7, 8, 2, 0, 1, 2, 6, 3, 3, 7, 3, 3, 4, 6, 6, 6, 4, 9, 1, 5, 0, 9, 5, 2, 8, 2, 0, 0, 1, 7, 6, 3, 2, 1, 7, 4, 6, 3, 1, 3, 9, 1, 7, 6, 8, 4, 3, 1, 4, 0, 5, 3, 6, 9, 6, 1, 7, 5, 4, 4, 7, 2, 8, 2, 2, 5, 7, 9, 5, 4, 8, 8, 4, 9, 0, 8, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 0, 9, 5, 5, 6, 5, 0, 9, 8, 9, 8, 4, 1, 7, 7, 3, 5, 1, 0, 0, 2, 2, 7, 8, 2, 0, 1, 2, 6, 3, 3, 7, 3, 3, 4, 6, 6, 6, 4, 9, 1, 5, 0, 9, 5, 2, 8, 2, 0, 0, 1, 7, 6, 3, 2, 1, 7, 4, 6, 3, 1, 3, 9, 1, 7, 6, 8, 4, 3, 1, 4, 0, 5, 3, 6, 9, 6, 1, 7, 5, 4, 4, 7, 2, 8, 2, 2, 5, 7, 9, 5, 4, 8, 8, 4, 9, 0, 8, 9, 8, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 0, 1, 2, 3, 4, 5, 6, 9, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 0, 9, 5, 5, 6, 5, 0, 9, 8, 9, 8, 4, 1, 7, 7, 3, 5, 1, 0, 0, 2, 2, 7, 8, 2, 0, 1, 2, 6, 3, 3, 7, 3, 3, 4, 6, 6, 6, 4, 9, 1, 5, 0, 9, 5, 2, 8, 0, 1, 7, 6, 3, 2, 1, 7, 4, 6, 3, 1, 3, 9, 1, 7, 6, 8, 4, 3, 1, 4, 0, 5, 3, 6, 9, 6, 1, 7, 5, 4, 4, 7, 2, 2, 5, 7, 9, 5, 4, 4, 9, 0, 8, 9, 8, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 0, 9, 5, 5, 6, 5, 0, 9, 8, 9, 8, 4, 1, 7, 7, 3, 5, 1, 0, 0, 2, 2, 7, 8, 2, 0, 1, 2, 6, 3, 3, 7, 3, 3, 4, 6, 6, 6, 4, 9, 1, 5, 0, 9, 5, 2, 8, 2, 0, 0, 1, 7, 6, 3, 2, 1, 7, 4, 6, 3, 1, 3, 9, 1, 7, 6, 8, 4, 3, 1, 4, 0, 5, 3, 6, 9, 6, 1, 7, 5, 4, 4, 7, 2, 8, 2, 2, 5, 7, 9, 5, 4, 8, 8, 4, 9, 0, 8, 9, 8] };\n//# sourceMappingURL=digits_data.js.map"
  },
  {
    "path": "ml/datasets/out/iris_data.js",
    "content": "var iris = { data: [[5.1, 3.5, 1.4, 0.2], [4.9, 3.0, 1.4, 0.2], [4.7, 3.2, 1.3, 0.2], [4.6, 3.1, 1.5, 0.2], [5.0, 3.6, 1.4, 0.2], [5.4, 3.9, 1.7, 0.4], [4.6, 3.4, 1.4, 0.3], [5.0, 3.4, 1.5, 0.2], [4.4, 2.9, 1.4, 0.2], [4.9, 3.1, 1.5, 0.1], [5.4, 3.7, 1.5, 0.2], [4.8, 3.4, 1.6, 0.2], [4.8, 3.0, 1.4, 0.1], [4.3, 3.0, 1.1, 0.1], [5.8, 4.0, 1.2, 0.2], [5.7, 4.4, 1.5, 0.4], [5.4, 3.9, 1.3, 0.4], [5.1, 3.5, 1.4, 0.3], [5.7, 3.8, 1.7, 0.3], [5.1, 3.8, 1.5, 0.3], [5.4, 3.4, 1.7, 0.2], [5.1, 3.7, 1.5, 0.4], [4.6, 3.6, 1.0, 0.2], [5.1, 3.3, 1.7, 0.5], [4.8, 3.4, 1.9, 0.2], [5.0, 3.0, 1.6, 0.2], [5.0, 3.4, 1.6, 0.4], [5.2, 3.5, 1.5, 0.2], [5.2, 3.4, 1.4, 0.2], [4.7, 3.2, 1.6, 0.2], [4.8, 3.1, 1.6, 0.2], [5.4, 3.4, 1.5, 0.4], [5.2, 4.1, 1.5, 0.1], [5.5, 4.2, 1.4, 0.2], [4.9, 3.1, 1.5, 0.1], [5.0, 3.2, 1.2, 0.2], [5.5, 3.5, 1.3, 0.2], [4.9, 3.1, 1.5, 0.1], [4.4, 3.0, 1.3, 0.2], [5.1, 3.4, 1.5, 0.2], [5.0, 3.5, 1.3, 0.3], [4.5, 2.3, 1.3, 0.3], [4.4, 3.2, 1.3, 0.2], [5.0, 3.5, 1.6, 0.6], [5.1, 3.8, 1.9, 0.4], [4.8, 3.0, 1.4, 0.3], [5.1, 3.8, 1.6, 0.2], [4.6, 3.2, 1.4, 0.2], [5.3, 3.7, 1.5, 0.2], [5.0, 3.3, 1.4, 0.2], [7.0, 3.2, 4.7, 1.4], [6.4, 3.2, 4.5, 1.5], [6.9, 3.1, 4.9, 1.5], [5.5, 2.3, 4.0, 1.3], [6.5, 2.8, 4.6, 1.5], [5.7, 2.8, 4.5, 1.3], [6.3, 3.3, 4.7, 1.6], [4.9, 2.4, 3.3, 1.0], [6.6, 2.9, 4.6, 1.3], [5.2, 2.7, 3.9, 1.4], [5.0, 2.0, 3.5, 1.0], [5.9, 3.0, 4.2, 1.5], [6.0, 2.2, 4.0, 1.0], [6.1, 2.9, 4.7, 1.4], [5.6, 2.9, 3.6, 1.3], [6.7, 3.1, 4.4, 1.4], [5.6, 3.0, 4.5, 1.5], [5.8, 2.7, 4.1, 1.0], [6.2, 2.2, 4.5, 1.5], [5.6, 2.5, 3.9, 1.1], [5.9, 3.2, 4.8, 1.8], [6.1, 2.8, 4.0, 1.3], [6.3, 2.5, 4.9, 1.5], [6.1, 2.8, 4.7, 1.2], [6.4, 2.9, 4.3, 1.3], [6.6, 3.0, 4.4, 1.4], [6.8, 2.8, 4.8, 1.4], [6.7, 3.0, 5.0, 1.7], [6.0, 2.9, 4.5, 1.5], [5.7, 2.6, 3.5, 1.0], [5.5, 2.4, 3.8, 1.1], [5.5, 2.4, 3.7, 1.0], [5.8, 2.7, 3.9, 1.2], [6.0, 2.7, 5.1, 1.6], [5.4, 3.0, 4.5, 1.5], [6.0, 3.4, 4.5, 1.6], [6.7, 3.1, 4.7, 1.5], [6.3, 2.3, 4.4, 1.3], [5.6, 3.0, 4.1, 1.3], [5.5, 2.5, 4.0, 1.3], [5.5, 2.6, 4.4, 1.2], [6.1, 3.0, 4.6, 1.4], [5.8, 2.6, 4.0, 1.2], [5.0, 2.3, 3.3, 1.0], [5.6, 2.7, 4.2, 1.3], [5.7, 3.0, 4.2, 1.2], [5.7, 2.9, 4.2, 1.3], [6.2, 2.9, 4.3, 1.3], [5.1, 2.5, 3.0, 1.1], [5.7, 2.8, 4.1, 1.3], [6.3, 3.3, 6.0, 2.5], [5.8, 2.7, 5.1, 1.9], [7.1, 3.0, 5.9, 2.1], [6.3, 2.9, 5.6, 1.8], [6.5, 3.0, 5.8, 2.2], [7.6, 3.0, 6.6, 2.1], [4.9, 2.5, 4.5, 1.7], [7.3, 2.9, 6.3, 1.8], [6.7, 2.5, 5.8, 1.8], [7.2, 3.6, 6.1, 2.5], [6.5, 3.2, 5.1, 2.0], [6.4, 2.7, 5.3, 1.9], [6.8, 3.0, 5.5, 2.1], [5.7, 2.5, 5.0, 2.0], [5.8, 2.8, 5.1, 2.4], [6.4, 3.2, 5.3, 2.3], [6.5, 3.0, 5.5, 1.8], [7.7, 3.8, 6.7, 2.2], [7.7, 2.6, 6.9, 2.3], [6.0, 2.2, 5.0, 1.5], [6.9, 3.2, 5.7, 2.3], [5.6, 2.8, 4.9, 2.0], [7.7, 2.8, 6.7, 2.0], [6.3, 2.7, 4.9, 1.8], [6.7, 3.3, 5.7, 2.1], [7.2, 3.2, 6.0, 1.8], [6.2, 2.8, 4.8, 1.8], [6.1, 3.0, 4.9, 1.8], [6.4, 2.8, 5.6, 2.1], [7.2, 3.0, 5.8, 1.6], [7.4, 2.8, 6.1, 1.9], [7.9, 3.8, 6.4, 2.0], [6.4, 2.8, 5.6, 2.2], [6.3, 2.8, 5.1, 1.5], [6.1, 2.6, 5.6, 1.4], [7.7, 3.0, 6.1, 2.3], [6.3, 3.4, 5.6, 2.4], [6.4, 3.1, 5.5, 1.8], [6.0, 3.0, 4.8, 1.8], [6.9, 3.1, 5.4, 2.1], [6.7, 3.1, 5.6, 2.4], [6.9, 3.1, 5.1, 2.3], [5.8, 2.7, 5.1, 1.9], [6.8, 3.2, 5.9, 2.3], [6.7, 3.3, 5.7, 2.5], [6.7, 3.0, 5.2, 2.3], [6.3, 2.5, 5.0, 1.9], [6.5, 3.0, 5.2, 2.0], [6.2, 3.4, 5.4, 2.3], [5.9, 3.0, 5.1, 1.8]], target: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], feature_names: [\"sepal length\", \"sepal width\", \"sepal length\", \"petal width\"], target_names: [\"setosa\", \"versicolor\", \"virginica\"] };\n//# sourceMappingURL=iris_data.js.map"
  },
  {
    "path": "ml/decisiontree/decisiontree.js",
    "content": "/**\n * Decision-Tree Learning\n */\n\n/* Tree Node */\nvar Node = function() {\n  this.init.apply(this, arguments);\n};\nNode.prototype = {\n  init: function(attr, value, left, right, terminal) {\n    this.attr = attr;\n    this.value = value;\n    this.left = left;   // Node\n    this.right = right; // Node\n    this.terminal = terminal || null; // Object\n  }\n};\n\n/* Builds Decision-Tree */\n(function() {\n  var DecisionTree;  // top-level namespace\n  var _root = this;  // reference to 'window' or 'global'\n\n  if(typeof exports !== 'undefined') {\n    DecisionTree = exports;   // for CommonJS\n  } else {\n    DecisionTree = _root.DecisionTree = {};\n  }\n\n  var version = {\n    release: '0.1.0',\n    date: '2011-08'\n  };\n  DecisionTree.toString = function() {\n    return \"version \" + version.release + \", released \" + version.date;\n  };\n\n  // core operations\n  var _records = 0;\n  var core = {\n    _divideSets : function(records, attr, value) {\n      var splitFunc,\n          set1 = [], set2 = [],\n          len = records.length;\n      if(isNaN(parseFloat(value))) { // String\n        splitFunc = function(record) {\n          return record[attr] == value;\n        };\n      } else { // Number\n        splitFunc = function(record) {\n          return parseFloat(record[attr]) >= parseFloat(value);\n        };\n      }\n      for(var i=0; i<len; i++) {\n        if(splitFunc(records[i])) {\n          set1.push(records[i]);\n        } else {\n          set2.push(records[i]);\n        }\n      }\n      return [set1, set2];\n    },\n    _countAttr : function(records) {\n      var counts = {},\n          len = records.length,\n          rlen, key;\n      if(records[0]) {\n        rlen = records[0].length;\n      }\n      for(var i=0; i<len; i++) {\n        key = records[i][rlen - 1];\n        if(!counts[key]) {\n          counts[key] = 0;\n        }\n        counts[key]++;\n      }\n      return counts;\n    },\n    _calcEntropy : function(records) {\n      var entropy = 0.0,\n          len = records.length,\n          counts = core._countAttr(records),\n          p;\n      for(var i in counts) {\n        p = counts[i]/len;\n        entropy += -p*(Math.log(p)/Math.log(2));\n      }\n      return entropy;\n    },\n    _grow : function(records) {\n      if(records.length == 0) {\n        return null;\n      }\n      var recordNum = records.length,\n          attrNum = records[0].length - 1,\n          attrValue = {},\n          maxGain = 0.0,\n          entropy = core._calcEntropy(records),\n          subSets, p, gain, next, nodeAttr, nodeValue;\n      for(var attr=0; attr<attrNum; attr++) {\n        attrValue = {};\n        for(var i=0; i<recordNum; i++) {\n          attrValue[records[i][attr]] = 1;\n        }\n        for(var value in attrValue) {\n          subSets = core._divideSets(records, attr, value);\n          p = subSets[0].length/recordNum;\n          gain = entropy - p*core._calcEntropy(subSets[0]) -\n            (1 - p)*core._calcEntropy(subSets[1]);\n          if(gain > maxGain &&\n             subSets[0].length > 0 && subSets[1].length > 0) {\n            maxGain = gain;\n            nodeAttr = attr;\n            nodeValue = value;\n            next = [subSets[0], subSets[1]];\n          }\n        }\n      }\n      if(maxGain > 0) {\n        var right = core._grow(next[0]);\n        var left = core._grow(next[1]);\n        return new Node(nodeAttr, nodeValue, left, right);\n      } else {\n        return new Node(-1, null, null, null, core._countAttr(records));\n      }\n    },\n    _classify : function(data, tree) {\n      var value, branch;\n      if(tree.terminal != null) {\n        return tree.terminal;\n      }else {\n        value = data[tree.attr];\n        branch = null;\n        if(isNaN(parseFloat(value))) {\n          if(value == tree.value) {\n            branch = tree.right;\n          }else {\n            branch = tree.left;\n          }\n        }else {\n          if(value >= tree.value) {\n            branch = tree.right;\n          }else {\n            branch = tree.left;\n          }\n        }\n      }\n      return core._classify(data, branch);\n    },\n    _prune : function(tree, minGain) {\n      var left = [], right = [], delta;\n      if(tree.right.terminal == null) {\n        core._prune(tree.right, minGain);\n      }\n      if(tree.left.terminal == null) {\n        core._prune(tree.left, minGain);\n      }\n      if(tree.right.terminal != null &&\n         tree.left.terminal != null) {\n        for(var i in tree.right.terminal) {\n          for(var j=0; j<tree.right.terminal[i]; j++) {\n            right.push([i]);\n          }\n        }\n        for(var i in tree.left.terminal) {\n          for(var j=0; j<tree.left.terminal[i]; j++) {\n            left.push([i]);\n          }\n        }\n        delta = core._calcEntropy(left + right) -\n          (core._calcEntropy(tree.left) + core._calcEntropy(tree.right))/2;\n        if(delta < minGain) {\n          tree.right = null;\n          tree.left = null;\n          tree.terminal = core._countAttr(left + right);\n        }\n      }\n    }\n  };\n  // aliases (public APIs)\n  var apis = ['grow', 'classify', 'prune'];\n  for(var i=0; i<apis.length; i++) {\n    DecisionTree[apis[i]] = core['_' + apis[i]];\n  }\n}).call(this);\n\n/* Traces the Decision-Tree, draws on Canvas */\n(function() {\n  var DecisionTreeTracer;  // top-level namespace\n  var _root = this;        // reference to 'window' or 'global'\n\n  if(typeof exports !== 'undefined') {\n    DecisionTreeTracer = exports;   // for CommonJS\n  } else {\n    DecisionTreeTracer = _root.DecisionTreeTracer = {};\n  }\n  \n  // core operations\n  var _tree = null,\n      _context = null;\n  var core = {\n    _init : function(tree, context) {\n      _tree = tree;\n      _context = context;\n      _context.strokeStyle = '#999999';\n      _context.lineWidth = 2;\n      _context.font = 'bold 14px \\'Courier New\\'';\n      _context.fillStyle = '#000000';\n    },\n    _getWidth : function(tree) {\n      if(tree.left === null && tree.right === null) {\n        return 1;\n      }\n      return core._getWidth(tree.left) + core._getWidth(tree.right);\n    },\n    _getDepth : function(tree) {\n      if(tree.left === null && tree.right === null) {\n        return core._max(tree.left, tree.right) + 1;\n      }\n      return 1;\n    },\n    _max : function(a, b) {\n      return a > b ? a : b;\n    },\n    // draw on the canvas\n    _draw : function(tree, context) {\n      core._init(tree, context);\n      var w = core._getWidth(tree)*80;\n      core._drawNode(tree, w/2, 20);\n    },\n    _drawNode : function(tree, x, y) {\n      if(tree.terminal == null) {\n        var scale = 80,\n            lw = core._getWidth(tree.left)*scale,\n            rw = core._getWidth(tree.right)*scale,\n            ls = x - (lw + rw)/2,\n            rs = x + (lw + rw)/2;\n        _context.beginPath();\n        _context.moveTo(x, y);\n        _context.lineTo(ls + lw/2, y + scale);\n        _context.moveTo(x, y);\n        _context.lineTo(rs - rw/2, y + scale);\n        _context.fillText(tree.attr + ':' + tree.value, x, y);\n        _context.closePath();\n        _context.stroke();\n        core._drawNode(tree.left, ls + lw/2, y + scale);\n        core._drawNode(tree.right, rs - rw/2, y + scale);\n      } else {\n        _context.fillStyle = '#00cc66';\n        var txt = '';\n        for(var i in tree.terminal) {\n          txt += i + ':' + tree.terminal[i];\n        }\n        _context.fillText(txt, x + 3, y + 8);\n        _context.fillStyle = '#000000';\n      }\n    },\n    // draw on the html document (for <p>)\n    _write : function(tree, indent) {\n      var text = '';\n      if(tree.terminal != null) {\n        for(var i in tree.terminal) {\n          text += i + ':' + tree.terminal[i] + '<br />';\n        }\n      } else {\n        text += tree.attr + ':' + tree.value + '? ' + '<br />';\n        text += indent + 'T-> ';\n        text += core._write(tree.right, indent + '&emsp;');\n        text += indent + 'F-> ';\n        text += core._write(tree.left, indent + '&emsp;');\n      }\n      return text;\n    }\n  };\n  // aliases (public APIs)\n  DecisionTreeTracer.draw = core._draw;\n  DecisionTreeTracer.print = core._write;\n}).call(this);\n\n/* Utilities */\n(function() {\n  var DataParser;    // top-level namespace\n  var _root = this;  // reference to 'window' or 'global'\n  \n  if(typeof exports !== 'undefined') {\n    DataParser = exports;   // for CommonJS\n  } else {\n    DataParser = _root.DataParser = {};\n  }\n\n  var LF = String.fromCharCode(10),\n      TAB = String.fromCharCode(9),\n      COMMA = String.fromCharCode(44),\n      _read = function(key, value, delimiter) {\n        if(window.localStorage[key]) {\n          return JSON.parse(window.localStorage[key]);\n        }\n        var dataList = [], lines = value.split(LF);\n        for(var i=0; i<lines.length; i++) {\n          dataList[i] = lines[i].split(delimiter);\n        }\n        window.localStorage[key] = JSON.stringify(dataList);\n        return dataList;\n      },\n      _replace = function(str, from, to) {\n        return str.replace(from, to);\n      };\n  // aliases (public APIs and Variables)\n  DataParser.LF = LF;\n  DataParser.TAB = TAB;\n  DataParser.read = _read;\n  DataParser.replace = _replace;\n}).call(this);\n"
  },
  {
    "path": "ml/gbdt/README.md",
    "content": "# Gradient Boosting Module\n\n## description\nGradient Boosting Decision Trees (GBDT) Learning \n\n## usage in JavaScript (ES2015)\n```js\nimport GradientBoostingRegressor from './gradient_boosting';\nimport boston from './boston_data';        // Boston housing dataset\nimport { rmse, score } from './metrics';   // RMSE, R^2 score\n\n// data preparation\nconst [x, y] = [boston.data, boston.target];\nconst end = Math.floor(x.length * 0.8);\nconst trainX = x.slice(0, end),\n    testX = x.slice(end),\n    trainY = y.slice(0, end),\n    testY = y.slice(end);\n\nconst estimator = new GradientBoostingRegressor(100, 0.1, 3);\n\n// train\nestimator.fit(trainX, trainY);\n\n// predict\nconst predY = estimator.predict(testX);\n\n// calculate RMSE, R2 Score\nconsole.log(`RMSE = ${rmse(testY, predY)}`);\nconsole.log(`R2 Score = ${score(testY, predY)}`);\n```\n"
  },
  {
    "path": "ml/gbdt/package.json",
    "content": "{\n  \"name\": \"gradient_boosting\",\n  \"version\": \"1.0.0\",\n  \"description\": \"Gradient Boosting Regression Tree Module\",\n  \"main\": \"dst\",\n  \"scripts\": {\n    \"build\": \"babel src -s -D -d dst --presets es2015\",\n    \"start\": \"node dst\",\n    \"prestart\": \"npm run -s build\",\n    \"test\": \"eslint src\",\n    \"debug\": \"npm run -s build && node --nolazy --inspect-brk=9229 dst\"\n  },\n  \"dependencies\": {},\n  \"devDependencies\": {\n    \"babel-cli\": \"^6.26.0\",\n    \"babel-core\": \"^6.26.0\",\n    \"babel-preset-es2015\": \"^6.24.1\",\n    \"eslint\": \"^4.7.2\",\n    \"nodemon\": \"^1.12.1\",\n    \"source-map-support\": \"^0.5.0\"\n  },\n  \"babel\": {\n    \"presets\": [\n      \"es2015\"\n    ]\n  },\n  \"keywords\": [\n    \"machine learning\"\n  ],\n  \"author\": \"wellflat\",\n  \"license\": \"MIT\"\n}\n"
  },
  {
    "path": "ml/gbdt/src/boston_data.js",
    "content": "export default {data: [[0.49298,0.0,9.9,0.0,0.544,6.635,82.5,3.3175,4.0,304.0,18.4,396.9,4.54],[3.56868,0.0,18.1,0.0,0.58,6.437,75.0,2.8965,24.0,666.0,20.2,393.37,14.36],[1.61282,0.0,8.14,0.0,0.538,6.096,96.9,3.7598,4.0,307.0,21.0,248.31,20.34],[0.05561,70.0,2.24,0.0,0.4,7.041,10.0,7.8278,5.0,358.0,14.8,371.58,4.74],[4.03841,0.0,18.1,0.0,0.532,6.229,90.7,3.0993,24.0,666.0,20.2,395.33,12.87],[15.1772,0.0,18.1,0.0,0.74,6.152,100.0,1.9142,24.0,666.0,20.2,9.32,26.45],[0.14052,0.0,10.59,0.0,0.489,6.375,32.3,3.9454,4.0,277.0,18.6,385.81,9.38],[0.03615,80.0,4.95,0.0,0.411,6.63,23.4,5.1167,4.0,245.0,19.2,396.9,4.7],[20.0849,0.0,18.1,0.0,0.7,4.368,91.2,1.4395,24.0,666.0,20.2,285.83,30.63],[9.39063,0.0,18.1,0.0,0.74,5.627,93.9,1.8172,24.0,666.0,20.2,396.9,22.88],[25.9406,0.0,18.1,0.0,0.679,5.304,89.1,1.6475,24.0,666.0,20.2,127.36,26.64],[0.08873,21.0,5.64,0.0,0.439,5.963,45.7,6.8147,4.0,243.0,16.8,395.56,13.45],[0.08265,0.0,13.92,0.0,0.437,6.127,18.4,5.5027,4.0,289.0,16.0,396.9,8.58],[0.07503,33.0,2.18,0.0,0.472,7.42,71.9,3.0992,7.0,222.0,18.4,396.9,6.47],[2.44953,0.0,19.58,0.0,0.605,6.402,95.2,2.2625,5.0,403.0,14.7,330.04,11.32],[0.05188,0.0,4.49,0.0,0.449,6.015,45.1,4.4272,3.0,247.0,18.5,395.99,12.86],[0.05789,12.5,6.07,0.0,0.409,5.878,21.4,6.498,4.0,345.0,18.9,396.21,8.1],[9.51363,0.0,18.1,0.0,0.713,6.728,94.1,2.4961,24.0,666.0,20.2,6.68,18.71],[7.40389,0.0,18.1,0.0,0.597,5.617,97.9,1.4547,24.0,666.0,20.2,314.64,26.4],[0.57529,0.0,6.2,0.0,0.507,8.337,73.3,3.8384,8.0,307.0,17.4,385.91,2.47],[6.71772,0.0,18.1,0.0,0.713,6.749,92.6,2.3236,24.0,666.0,20.2,0.32,17.44],[0.06076,0.0,11.93,0.0,0.573,6.976,91.0,2.1675,1.0,273.0,21.0,396.9,5.64],[0.17446,0.0,10.59,1.0,0.489,5.96,92.1,3.8771,4.0,277.0,18.6,393.25,17.27],[0.02187,60.0,2.93,0.0,0.401,6.8,9.9,6.2196,1.0,265.0,15.6,393.37,5.03],[14.2362,0.0,18.1,0.0,0.693,6.343,100.0,1.5741,24.0,666.0,20.2,396.9,20.32],[0.17331,0.0,9.69,0.0,0.585,5.707,54.0,2.3817,6.0,391.0,19.2,396.9,12.01],[0.20746,0.0,27.74,0.0,0.609,5.093,98.0,1.8226,4.0,711.0,20.1,318.43,29.68],[0.61154,20.0,3.97,0.0,0.647,8.704,86.9,1.801,5.0,264.0,13.0,389.7,5.12],[13.9134,0.0,18.1,0.0,0.713,6.208,95.0,2.2222,24.0,666.0,20.2,100.63,15.17],[0.03041,0.0,5.19,0.0,0.515,5.895,59.6,5.615,5.0,224.0,20.2,394.81,10.56],[24.3938,0.0,18.1,0.0,0.7,4.652,100.0,1.4672,24.0,666.0,20.2,396.9,28.28],[0.06263,0.0,11.93,0.0,0.573,6.593,69.1,2.4786,1.0,273.0,21.0,391.99,9.67],[0.38735,0.0,25.65,0.0,0.581,5.613,95.6,1.7572,2.0,188.0,19.1,359.29,27.26],[0.76162,20.0,3.97,0.0,0.647,5.56,62.8,1.9865,5.0,264.0,13.0,392.4,10.45],[8.15174,0.0,18.1,0.0,0.7,5.39,98.9,1.7281,24.0,666.0,20.2,396.9,20.85],[0.62976,0.0,8.14,0.0,0.538,5.949,61.8,4.7075,4.0,307.0,21.0,396.9,8.26],[0.6147,0.0,6.2,0.0,0.507,6.618,80.8,3.2721,8.0,307.0,17.4,396.9,7.6],[0.09604,40.0,6.41,0.0,0.447,6.854,42.8,4.2673,4.0,254.0,17.6,396.9,2.98],[2.24236,0.0,19.58,0.0,0.605,5.854,91.8,2.422,5.0,403.0,14.7,395.11,11.64],[0.08707,0.0,12.83,0.0,0.437,6.14,45.8,4.0905,5.0,398.0,18.7,386.96,10.27],[4.83567,0.0,18.1,0.0,0.583,5.905,53.2,3.1523,24.0,666.0,20.2,388.22,11.45],[0.08187,0.0,2.89,0.0,0.445,7.82,36.9,3.4952,2.0,276.0,18.0,393.53,3.57],[0.04932,33.0,2.18,0.0,0.472,6.849,70.3,3.1827,7.0,222.0,18.4,396.9,7.53],[0.1712,0.0,8.56,0.0,0.52,5.836,91.9,2.211,5.0,384.0,20.9,395.67,18.66],[0.03445,82.5,2.03,0.0,0.415,6.162,38.4,6.27,2.0,348.0,14.7,393.77,7.43],[0.24522,0.0,9.9,0.0,0.544,5.782,71.7,4.0317,4.0,304.0,18.4,396.9,15.94],[4.64689,0.0,18.1,0.0,0.614,6.98,67.6,2.5329,24.0,666.0,20.2,374.68,11.66],[0.28955,0.0,10.59,0.0,0.489,5.412,9.8,3.5875,4.0,277.0,18.6,348.93,29.55],[0.06642,0.0,4.05,0.0,0.51,6.86,74.4,2.9153,5.0,296.0,16.6,391.27,6.92],[0.7842,0.0,8.14,0.0,0.538,5.99,81.7,4.2579,4.0,307.0,21.0,386.75,14.67],[6.39312,0.0,18.1,0.0,0.584,6.162,97.4,2.206,24.0,666.0,20.2,302.76,24.1],[0.09068,45.0,3.44,0.0,0.437,6.951,21.5,6.4798,5.0,398.0,15.2,377.68,5.1],[20.7162,0.0,18.1,0.0,0.659,4.138,100.0,1.1781,24.0,666.0,20.2,370.22,23.34],[0.01538,90.0,3.75,0.0,0.394,7.454,34.2,6.3361,3.0,244.0,15.9,386.34,3.11],[0.08664,45.0,3.44,0.0,0.437,7.178,26.3,6.4798,5.0,398.0,15.2,390.49,2.87],[0.06899,0.0,25.65,0.0,0.581,5.87,69.7,2.2577,2.0,188.0,19.1,389.15,14.37],[0.7258,0.0,8.14,0.0,0.538,5.727,69.5,3.7965,4.0,307.0,21.0,390.95,11.28],[0.03548,80.0,3.64,0.0,0.392,5.876,19.1,9.2203,1.0,315.0,16.4,395.18,9.25],[0.17899,0.0,9.69,0.0,0.585,5.67,28.8,2.7986,6.0,391.0,19.2,393.29,17.6],[22.0511,0.0,18.1,0.0,0.74,5.818,92.4,1.8662,24.0,666.0,20.2,391.45,22.11],[1.25179,0.0,8.14,0.0,0.538,5.57,98.1,3.7979,4.0,307.0,21.0,376.57,21.02],[0.3494,0.0,9.9,0.0,0.544,5.972,76.7,3.1025,4.0,304.0,18.4,396.24,9.97],[7.67202,0.0,18.1,0.0,0.693,5.747,98.9,1.6334,24.0,666.0,20.2,393.1,19.92],[0.08308,0.0,2.46,0.0,0.488,5.604,89.8,2.9879,3.0,193.0,17.8,391.0,13.98],[0.02498,0.0,1.89,0.0,0.518,6.54,59.7,6.2669,1.0,422.0,15.9,389.96,8.65],[0.08244,30.0,4.93,0.0,0.428,6.481,18.5,6.1899,6.0,300.0,16.6,379.41,6.36],[0.15876,0.0,10.81,0.0,0.413,5.961,17.5,5.2873,4.0,305.0,19.2,376.94,9.88],[0.44178,0.0,6.2,0.0,0.504,6.552,21.4,3.3751,8.0,307.0,17.4,380.34,3.76],[0.14866,0.0,8.56,0.0,0.52,6.727,79.9,2.7778,5.0,384.0,20.9,394.76,9.42],[11.1604,0.0,18.1,0.0,0.74,6.629,94.6,2.1247,24.0,666.0,20.2,109.85,23.27],[1.46336,0.0,19.58,0.0,0.605,7.489,90.8,1.9709,5.0,403.0,14.7,374.43,1.73],[0.37578,0.0,10.59,1.0,0.489,5.404,88.6,3.665,4.0,277.0,18.6,395.24,23.98],[0.08829,12.5,7.87,0.0,0.524,6.012,66.6,5.5605,5.0,311.0,15.2,395.6,12.43],[3.47428,0.0,18.1,1.0,0.718,8.78,82.9,1.9047,24.0,666.0,20.2,354.55,5.29],[15.5757,0.0,18.1,0.0,0.58,5.926,71.0,2.9084,24.0,666.0,20.2,368.74,18.13],[0.1676,0.0,7.38,0.0,0.493,6.426,52.3,4.5404,5.0,287.0,19.6,396.9,7.2],[0.12816,12.5,6.07,0.0,0.409,5.885,33.0,6.498,4.0,345.0,18.9,396.9,8.79],[0.59005,0.0,21.89,0.0,0.624,6.372,97.9,2.3274,4.0,437.0,21.2,385.76,11.12],[0.26838,0.0,9.69,0.0,0.585,5.794,70.6,2.8927,6.0,391.0,19.2,396.9,14.1],[0.19802,0.0,10.59,0.0,0.489,6.182,42.4,3.9454,4.0,277.0,18.6,393.63,9.47],[7.83932,0.0,18.1,0.0,0.655,6.209,65.4,2.9634,24.0,666.0,20.2,396.9,13.22],[0.10084,0.0,10.01,0.0,0.547,6.715,81.6,2.6775,6.0,432.0,17.8,395.59,10.16],[0.10153,0.0,12.83,0.0,0.437,6.279,74.5,4.0522,5.0,398.0,18.7,373.66,11.97],[3.8497,0.0,18.1,1.0,0.77,6.395,91.0,2.5052,24.0,666.0,20.2,391.34,13.27],[0.25915,0.0,21.89,0.0,0.624,5.693,96.0,1.7883,4.0,437.0,21.2,392.11,17.19],[0.03537,34.0,6.09,0.0,0.433,6.59,40.4,5.4917,7.0,329.0,16.1,395.75,9.5],[1.05393,0.0,8.14,0.0,0.538,5.935,29.3,4.4986,4.0,307.0,21.0,386.85,6.58],[0.66351,20.0,3.97,0.0,0.647,7.333,100.0,1.8946,5.0,264.0,13.0,383.29,7.79],[0.19539,0.0,10.81,0.0,0.413,6.245,6.2,5.2873,4.0,305.0,19.2,377.17,7.54],[0.0459,52.5,5.32,0.0,0.405,6.315,45.6,7.3172,6.0,293.0,16.6,396.9,7.6],[0.11504,0.0,2.89,0.0,0.445,6.163,69.6,3.4952,2.0,276.0,18.0,391.83,11.34],[15.8744,0.0,18.1,0.0,0.671,6.545,99.1,1.5192,24.0,666.0,20.2,396.9,21.08],[0.22438,0.0,9.69,0.0,0.585,6.027,79.7,2.4982,6.0,391.0,19.2,396.9,14.33],[0.05602,0.0,2.46,0.0,0.488,7.831,53.6,3.1992,3.0,193.0,17.8,392.63,4.45],[7.36711,0.0,18.1,0.0,0.679,6.193,78.1,1.9356,24.0,666.0,20.2,96.73,21.52],[0.05083,0.0,5.19,0.0,0.515,6.316,38.1,6.4584,5.0,224.0,20.2,389.71,5.68],[3.67367,0.0,18.1,0.0,0.583,6.312,51.9,3.9917,24.0,666.0,20.2,388.62,10.58],[4.42228,0.0,18.1,0.0,0.584,6.003,94.5,2.5403,24.0,666.0,20.2,331.29,21.32],[4.87141,0.0,18.1,0.0,0.614,6.484,93.6,2.3053,24.0,666.0,20.2,396.21,18.68],[0.88125,0.0,21.89,0.0,0.624,5.637,94.7,1.9799,4.0,437.0,21.2,396.9,18.34],[0.05059,0.0,4.49,0.0,0.449,6.389,48.0,4.7794,3.0,247.0,18.5,396.9,9.62],[9.72418,0.0,18.1,0.0,0.74,6.406,97.2,2.0651,24.0,666.0,20.2,385.96,19.52],[0.44791,0.0,6.2,1.0,0.507,6.726,66.5,3.6519,8.0,307.0,17.4,360.2,8.05],[0.82526,20.0,3.97,0.0,0.647,7.327,94.5,2.0788,5.0,264.0,13.0,393.42,11.25],[0.03502,80.0,4.95,0.0,0.411,6.861,27.9,5.1167,4.0,245.0,19.2,396.9,3.33],[0.04301,80.0,1.91,0.0,0.413,5.663,21.9,10.5857,4.0,334.0,22.0,382.8,8.05],[5.09017,0.0,18.1,0.0,0.713,6.297,91.8,2.3682,24.0,666.0,20.2,385.09,17.27],[1.35472,0.0,8.14,0.0,0.538,6.072,100.0,4.175,4.0,307.0,21.0,376.73,13.04],[0.02009,95.0,2.68,0.0,0.4161,8.034,31.9,5.118,4.0,224.0,14.7,390.55,2.88],[15.0234,0.0,18.1,0.0,0.614,5.304,97.3,2.1007,24.0,666.0,20.2,349.48,24.91],[51.1358,0.0,18.1,0.0,0.597,5.757,100.0,1.413,24.0,666.0,20.2,2.6,10.11],[3.83684,0.0,18.1,0.0,0.77,6.251,91.1,2.2955,24.0,666.0,20.2,350.65,14.19],[0.80271,0.0,8.14,0.0,0.538,5.456,36.6,3.7965,4.0,307.0,21.0,288.99,11.69],[0.26169,0.0,9.9,0.0,0.544,6.023,90.4,2.834,4.0,304.0,18.4,396.3,11.72],[0.08199,0.0,13.92,0.0,0.437,6.009,42.3,5.5027,4.0,289.0,16.0,396.9,10.4],[0.13117,0.0,8.56,0.0,0.52,6.127,85.2,2.1224,5.0,384.0,20.9,387.69,14.09],[23.6482,0.0,18.1,0.0,0.671,6.38,96.2,1.3861,24.0,666.0,20.2,396.9,23.69],[14.4208,0.0,18.1,0.0,0.74,6.461,93.3,2.0026,24.0,666.0,20.2,27.49,18.05],[0.57834,20.0,3.97,0.0,0.575,8.297,67.0,2.4216,5.0,264.0,13.0,384.54,7.44],[0.04544,0.0,3.24,0.0,0.46,6.144,32.2,5.8736,4.0,430.0,16.9,368.57,9.09],[0.65665,20.0,3.97,0.0,0.647,6.842,100.0,2.0107,5.0,264.0,13.0,391.93,6.9],[0.03961,0.0,5.19,0.0,0.515,6.037,34.5,5.9853,5.0,224.0,20.2,396.9,8.01],[0.03932,0.0,3.41,0.0,0.489,6.405,73.9,3.0921,2.0,270.0,17.8,393.55,8.2],[1.27346,0.0,19.58,1.0,0.605,6.25,92.6,1.7984,5.0,403.0,14.7,338.92,5.5],[73.5341,0.0,18.1,0.0,0.679,5.957,100.0,1.8026,24.0,666.0,20.2,16.45,20.62],[0.01432,100.0,1.32,0.0,0.411,6.816,40.5,8.3248,5.0,256.0,15.1,392.9,3.95],[0.0795,60.0,1.69,0.0,0.411,6.579,35.9,10.7103,4.0,411.0,18.3,370.78,5.49],[2.77974,0.0,19.58,0.0,0.871,4.903,97.8,1.3459,5.0,403.0,14.7,396.9,29.29],[5.82401,0.0,18.1,0.0,0.532,6.242,64.7,3.4242,24.0,666.0,20.2,396.9,10.74],[9.18702,0.0,18.1,0.0,0.7,5.536,100.0,1.5804,24.0,666.0,20.2,396.9,23.6],[0.05479,33.0,2.18,0.0,0.472,6.616,58.1,3.37,7.0,222.0,18.4,393.36,8.93],[0.32264,0.0,21.89,0.0,0.624,5.942,93.5,1.9669,4.0,437.0,21.2,378.25,16.9],[0.01951,17.5,1.38,0.0,0.4161,7.104,59.5,9.2229,3.0,216.0,18.6,393.24,8.05],[0.0315,95.0,1.47,0.0,0.403,6.975,15.3,7.6534,3.0,402.0,17.0,396.9,4.56],[5.66998,0.0,18.1,1.0,0.631,6.683,96.8,1.3567,24.0,666.0,20.2,375.33,3.73],[3.67822,0.0,18.1,0.0,0.77,5.362,96.2,2.1036,24.0,666.0,20.2,380.79,10.19],[0.51183,0.0,6.2,0.0,0.507,7.358,71.6,4.148,8.0,307.0,17.4,390.07,4.73],[0.25356,0.0,9.9,0.0,0.544,5.705,77.7,3.945,4.0,304.0,18.4,396.42,11.5],[0.09849,0.0,25.65,0.0,0.581,5.879,95.8,2.0063,2.0,188.0,19.1,379.38,17.58],[0.09164,0.0,10.81,0.0,0.413,6.065,7.8,5.2873,4.0,305.0,19.2,390.91,5.52],[0.01381,80.0,0.46,0.0,0.422,7.875,32.0,5.6484,4.0,255.0,14.4,394.23,2.97],[0.30347,0.0,7.38,0.0,0.493,6.312,28.9,5.4159,5.0,287.0,19.6,396.9,6.15],[0.14231,0.0,10.01,0.0,0.547,6.254,84.2,2.2565,6.0,432.0,17.8,388.74,10.45],[0.62739,0.0,8.14,0.0,0.538,5.834,56.5,4.4986,4.0,307.0,21.0,395.62,8.47],[9.92485,0.0,18.1,0.0,0.74,6.251,96.6,2.198,24.0,666.0,20.2,388.52,16.44],[0.77299,0.0,8.14,0.0,0.538,6.495,94.4,4.4547,4.0,307.0,21.0,387.94,12.8],[0.01439,60.0,2.93,0.0,0.401,6.604,18.8,6.2196,1.0,265.0,15.6,376.7,4.38],[0.10469,40.0,6.41,1.0,0.447,7.267,49.0,4.7872,4.0,254.0,17.6,389.25,6.05],[8.49213,0.0,18.1,0.0,0.584,6.348,86.1,2.0527,24.0,666.0,20.2,83.45,17.64],[8.64476,0.0,18.1,0.0,0.693,6.193,92.6,1.7912,24.0,666.0,20.2,396.9,15.17],[0.03427,0.0,5.19,0.0,0.515,5.869,46.3,5.2311,5.0,224.0,20.2,396.9,9.8],[0.54011,20.0,3.97,0.0,0.647,7.203,81.8,2.1121,5.0,264.0,13.0,392.8,9.59],[0.10793,0.0,8.56,0.0,0.52,6.195,54.4,2.7778,5.0,384.0,20.9,393.49,13.0],[2.37857,0.0,18.1,0.0,0.583,5.871,41.9,3.724,24.0,666.0,20.2,370.73,13.34],[0.25199,0.0,10.59,0.0,0.489,5.783,72.7,4.3549,4.0,277.0,18.6,389.43,18.06],[0.05646,0.0,12.83,0.0,0.437,6.232,53.7,5.0141,5.0,398.0,18.7,386.4,12.34],[7.02259,0.0,18.1,0.0,0.718,6.006,95.3,1.8746,24.0,666.0,20.2,319.98,15.7],[0.06617,0.0,3.24,0.0,0.46,5.868,25.8,5.2146,4.0,430.0,16.9,382.44,9.97],[0.08447,0.0,4.05,0.0,0.51,5.859,68.7,2.7019,5.0,296.0,16.6,393.23,9.64],[0.1396,0.0,8.56,0.0,0.52,6.167,90.0,2.421,5.0,384.0,20.9,392.69,12.33],[15.8603,0.0,18.1,0.0,0.679,5.896,95.4,1.9096,24.0,666.0,20.2,7.68,24.39],[0.06162,0.0,4.39,0.0,0.442,5.898,52.3,8.0136,3.0,352.0,18.8,364.61,12.67],[1.15172,0.0,8.14,0.0,0.538,5.701,95.0,3.7872,4.0,307.0,21.0,358.77,18.35],[0.41238,0.0,6.2,0.0,0.504,7.163,79.9,3.2157,8.0,307.0,17.4,372.08,6.36],[2.01019,0.0,19.58,0.0,0.605,7.929,96.2,2.0459,5.0,403.0,14.7,369.3,3.7],[18.4982,0.0,18.1,0.0,0.668,4.138,100.0,1.137,24.0,666.0,20.2,396.9,37.97],[0.26938,0.0,9.9,0.0,0.544,6.266,82.8,3.2628,4.0,304.0,18.4,393.39,7.9],[10.233,0.0,18.1,0.0,0.614,6.185,96.7,2.1705,24.0,666.0,20.2,379.7,18.03],[0.02543,55.0,3.78,0.0,0.484,6.696,56.4,5.7321,5.0,370.0,17.6,396.9,7.18],[67.9208,0.0,18.1,0.0,0.693,5.683,100.0,1.4254,24.0,666.0,20.2,384.97,22.98],[0.24103,0.0,7.38,0.0,0.493,6.083,43.7,5.4159,5.0,287.0,19.6,396.9,12.79],[2.924,0.0,19.58,0.0,0.605,6.101,93.0,2.2834,5.0,403.0,14.7,240.16,9.81],[0.52014,20.0,3.97,0.0,0.647,8.398,91.5,2.2885,5.0,264.0,13.0,386.86,5.91],[1.34284,0.0,19.58,0.0,0.605,6.066,100.0,1.7573,5.0,403.0,14.7,353.89,6.43],[6.53876,0.0,18.1,1.0,0.631,7.016,97.5,1.2024,24.0,666.0,20.2,392.05,2.96],[5.66637,0.0,18.1,0.0,0.74,6.219,100.0,2.0048,24.0,666.0,20.2,395.69,16.59],[0.21124,12.5,7.87,0.0,0.524,5.631,100.0,6.0821,5.0,311.0,15.2,386.63,29.93],[0.03466,35.0,6.06,0.0,0.4379,6.031,23.3,6.6407,1.0,304.0,16.9,362.25,7.83],[4.34879,0.0,18.1,0.0,0.58,6.167,84.0,3.0334,24.0,666.0,20.2,396.9,16.29],[2.73397,0.0,19.58,0.0,0.871,5.597,94.9,1.5257,5.0,403.0,14.7,351.85,21.45],[22.5971,0.0,18.1,0.0,0.7,5.0,89.5,1.5184,24.0,666.0,20.2,396.9,31.99],[10.0623,0.0,18.1,0.0,0.584,6.833,94.3,2.0882,24.0,666.0,20.2,81.33,19.69],[5.70818,0.0,18.1,0.0,0.532,6.75,74.9,3.3317,24.0,666.0,20.2,393.07,7.74],[0.04527,0.0,11.93,0.0,0.573,6.12,76.7,2.2875,1.0,273.0,21.0,396.9,9.08],[0.12579,45.0,3.44,0.0,0.437,6.556,29.1,4.5667,5.0,398.0,15.2,382.84,4.56],[37.6619,0.0,18.1,0.0,0.679,6.202,78.7,1.8629,24.0,666.0,20.2,18.82,14.52],[4.22239,0.0,18.1,1.0,0.77,5.803,89.0,1.9047,24.0,666.0,20.2,353.04,14.64],[0.22876,0.0,8.56,0.0,0.52,6.405,85.4,2.7147,5.0,384.0,20.9,70.8,10.63],[0.03768,80.0,1.52,0.0,0.404,7.274,38.3,7.309,2.0,329.0,12.6,392.2,6.62],[0.35233,0.0,21.89,0.0,0.624,6.454,98.4,1.8498,4.0,437.0,21.2,394.08,14.59],[1.12658,0.0,19.58,1.0,0.871,5.012,88.0,1.6102,5.0,403.0,14.7,343.28,12.12],[9.2323,0.0,18.1,0.0,0.631,6.216,100.0,1.1691,24.0,666.0,20.2,366.15,9.53],[0.22969,0.0,10.59,0.0,0.489,6.326,52.5,4.3549,4.0,277.0,18.6,394.87,10.97],[1.22358,0.0,19.58,0.0,0.605,6.943,97.4,1.8773,5.0,403.0,14.7,363.43,4.59],[45.7461,0.0,18.1,0.0,0.693,4.519,100.0,1.6582,24.0,666.0,20.2,88.27,36.98],[0.09378,12.5,7.87,0.0,0.524,5.889,39.0,5.4509,5.0,311.0,15.2,390.5,15.71],[2.37934,0.0,19.58,0.0,0.871,6.13,100.0,1.4191,5.0,403.0,14.7,172.91,27.8],[0.05497,0.0,5.19,0.0,0.515,5.985,45.4,4.8122,5.0,224.0,20.2,396.9,9.74],[0.17142,0.0,6.91,0.0,0.448,5.682,33.8,5.1004,3.0,233.0,17.9,396.9,10.21],[0.06127,40.0,6.41,1.0,0.447,6.826,27.6,4.8628,4.0,254.0,17.6,393.45,4.16],[14.0507,0.0,18.1,0.0,0.597,6.657,100.0,1.5275,24.0,666.0,20.2,35.05,21.22],[28.6558,0.0,18.1,0.0,0.597,5.155,100.0,1.5894,24.0,666.0,20.2,210.97,20.08],[0.63796,0.0,8.14,0.0,0.538,6.096,84.5,4.4619,4.0,307.0,21.0,380.02,10.26],[5.87205,0.0,18.1,0.0,0.693,6.405,96.0,1.6768,24.0,666.0,20.2,396.9,19.37],[0.18337,0.0,27.74,0.0,0.609,5.414,98.3,1.7554,4.0,711.0,20.1,344.05,23.97],[0.29819,0.0,6.2,0.0,0.504,7.686,17.0,3.3751,8.0,307.0,17.4,377.51,3.92],[0.53412,20.0,3.97,0.0,0.647,7.52,89.4,2.1398,5.0,264.0,13.0,388.37,7.26],[0.21719,0.0,10.59,1.0,0.489,5.807,53.8,3.6526,4.0,277.0,18.6,390.94,16.03],[0.16211,20.0,6.96,0.0,0.464,6.24,16.3,4.429,3.0,223.0,18.6,396.9,6.59],[0.11069,0.0,13.89,1.0,0.55,5.951,93.8,2.8893,5.0,276.0,16.4,396.9,17.92],[0.06905,0.0,2.18,0.0,0.458,7.147,54.2,6.0622,3.0,222.0,18.7,396.9,5.33],[1.51902,0.0,19.58,1.0,0.605,8.375,93.9,2.162,5.0,403.0,14.7,388.45,3.32],[0.02177,82.5,2.03,0.0,0.415,7.61,15.7,6.27,2.0,348.0,14.7,395.38,3.11],[5.73116,0.0,18.1,0.0,0.532,7.061,77.0,3.4106,24.0,666.0,20.2,395.28,7.01],[0.67191,0.0,8.14,0.0,0.538,5.813,90.3,4.682,4.0,307.0,21.0,376.88,14.81],[0.04379,80.0,3.37,0.0,0.398,5.787,31.1,6.6115,4.0,337.0,16.1,396.9,10.24],[7.05042,0.0,18.1,0.0,0.614,6.103,85.1,2.0218,24.0,666.0,20.2,2.52,23.29],[0.28392,0.0,7.38,0.0,0.493,5.708,74.3,4.7211,5.0,287.0,19.6,391.13,11.74],[3.69311,0.0,18.1,0.0,0.713,6.376,88.4,2.5671,24.0,666.0,20.2,391.43,14.65],[6.28807,0.0,18.1,0.0,0.74,6.341,96.4,2.072,24.0,666.0,20.2,318.01,17.79],[0.27957,0.0,9.69,0.0,0.585,5.926,42.6,2.3817,6.0,391.0,19.2,396.9,13.59],[5.69175,0.0,18.1,0.0,0.583,6.114,79.8,3.5459,24.0,666.0,20.2,392.68,14.98],[0.09744,0.0,5.96,0.0,0.499,5.841,61.4,3.3779,5.0,279.0,19.2,377.56,11.41],[0.97617,0.0,21.89,0.0,0.624,5.757,98.4,2.346,4.0,437.0,21.2,262.76,17.31],[0.09103,0.0,2.46,0.0,0.488,7.155,92.2,2.7006,3.0,193.0,17.8,394.12,4.82],[0.01709,90.0,2.02,0.0,0.41,6.728,36.1,12.1265,5.0,187.0,17.0,384.46,4.5],[0.05023,35.0,6.06,0.0,0.4379,5.706,28.4,6.6407,1.0,304.0,16.9,394.02,12.43],[13.0751,0.0,18.1,0.0,0.58,5.713,56.7,2.8237,24.0,666.0,20.2,396.9,14.76],[0.12269,0.0,6.91,0.0,0.448,6.069,40.0,5.7209,3.0,233.0,17.9,389.39,9.55],[0.07896,0.0,12.83,0.0,0.437,6.273,6.0,4.2515,5.0,398.0,18.7,394.92,6.78],[8.26725,0.0,18.1,1.0,0.668,5.875,89.6,1.1296,24.0,666.0,20.2,347.88,8.88],[8.98296,0.0,18.1,1.0,0.77,6.212,97.4,2.1222,24.0,666.0,20.2,377.73,17.6],[0.12329,0.0,10.01,0.0,0.547,5.913,92.9,2.3534,6.0,432.0,17.8,394.95,16.21],[0.07978,40.0,6.41,0.0,0.447,6.482,32.1,4.1403,4.0,254.0,17.6,396.9,7.19],[11.1081,0.0,18.1,0.0,0.668,4.906,100.0,1.1742,24.0,666.0,20.2,396.9,34.77],[0.02055,85.0,0.74,0.0,0.41,6.383,35.7,9.1876,2.0,313.0,17.3,396.9,5.77],[0.2909,0.0,21.89,0.0,0.624,6.174,93.6,1.6119,4.0,437.0,21.2,388.08,24.16],[88.9762,0.0,18.1,0.0,0.671,6.968,91.9,1.4165,24.0,666.0,20.2,396.9,17.21],[0.17505,0.0,5.96,0.0,0.499,5.966,30.2,3.8473,5.0,279.0,19.2,393.43,10.13],[0.1403,22.0,5.86,0.0,0.431,6.487,13.0,7.3967,7.0,330.0,19.1,396.28,5.9],[0.05372,0.0,13.92,0.0,0.437,6.549,51.0,5.9604,4.0,289.0,16.0,392.85,7.39],[4.89822,0.0,18.1,0.0,0.631,4.97,100.0,1.3325,24.0,666.0,20.2,375.52,3.26],[4.81213,0.0,18.1,0.0,0.713,6.701,90.0,2.5975,24.0,666.0,20.2,255.23,16.42],[0.35809,0.0,6.2,1.0,0.507,6.951,88.5,2.8617,8.0,307.0,17.4,391.7,9.71],[0.07165,0.0,25.65,0.0,0.581,6.004,84.1,2.1974,2.0,188.0,19.1,377.67,14.27],[0.06047,0.0,2.46,0.0,0.488,6.153,68.8,3.2797,3.0,193.0,17.8,387.11,13.15],[0.0136,75.0,4.0,0.0,0.41,5.888,47.6,7.3197,3.0,469.0,21.1,396.9,14.8],[16.8118,0.0,18.1,0.0,0.7,5.277,98.1,1.4261,24.0,666.0,20.2,396.9,30.81],[0.15086,0.0,27.74,0.0,0.609,5.454,92.7,1.8209,4.0,711.0,20.1,395.09,18.06],[0.13058,0.0,10.01,0.0,0.547,5.872,73.1,2.4775,6.0,432.0,17.8,338.63,15.37],[0.3692,0.0,9.9,0.0,0.544,6.567,87.3,3.6023,4.0,304.0,18.4,395.69,9.28],[0.18159,0.0,7.38,0.0,0.493,6.376,54.3,4.5404,5.0,287.0,19.6,396.9,6.87],[0.06888,0.0,2.46,0.0,0.488,6.144,62.2,2.5979,3.0,193.0,17.8,396.9,9.45],[0.12744,0.0,6.91,0.0,0.448,6.77,2.9,5.7209,3.0,233.0,17.9,385.41,4.84],[5.20177,0.0,18.1,1.0,0.77,6.127,83.4,2.7227,24.0,666.0,20.2,395.43,11.48],[0.11027,25.0,5.13,0.0,0.453,6.456,67.8,7.2255,8.0,284.0,19.7,396.9,6.73],[0.32543,0.0,21.89,0.0,0.624,6.431,98.8,1.8125,4.0,437.0,21.2,396.9,15.39],[2.15505,0.0,19.58,0.0,0.871,5.628,100.0,1.5166,5.0,403.0,14.7,169.27,16.65],[0.33147,0.0,6.2,0.0,0.507,8.247,70.4,3.6519,8.0,307.0,17.4,378.95,3.95],[0.95577,0.0,8.14,0.0,0.538,6.047,88.8,4.4534,4.0,307.0,21.0,306.38,17.28],[1.38799,0.0,8.14,0.0,0.538,5.95,82.0,3.99,4.0,307.0,21.0,232.6,27.71],[0.0566,0.0,3.41,0.0,0.489,7.007,86.3,3.4217,2.0,270.0,17.8,396.9,5.5],[0.22212,0.0,10.01,0.0,0.547,6.092,95.4,2.548,6.0,432.0,17.8,396.9,17.09],[0.55007,20.0,3.97,0.0,0.647,7.206,91.6,1.9301,5.0,264.0,13.0,387.89,8.1],[6.65492,0.0,18.1,0.0,0.713,6.317,83.0,2.7344,24.0,666.0,20.2,396.9,13.99],[0.08221,22.0,5.86,0.0,0.431,6.957,6.8,8.9067,7.0,330.0,19.1,386.09,3.53],[0.05735,0.0,4.49,0.0,0.449,6.63,56.1,4.4377,3.0,247.0,18.5,392.3,6.53],[0.21161,0.0,8.56,0.0,0.52,6.137,87.4,2.7147,5.0,384.0,20.9,394.47,13.44],[6.80117,0.0,18.1,0.0,0.713,6.081,84.4,2.7175,24.0,666.0,20.2,396.9,14.7],[0.06724,0.0,3.24,0.0,0.46,6.333,17.2,5.2146,4.0,430.0,16.9,375.21,7.34],[0.2896,0.0,9.69,0.0,0.585,5.39,72.9,2.7986,6.0,391.0,19.2,396.9,21.14],[0.09252,30.0,4.93,0.0,0.428,6.606,42.2,6.1899,6.0,300.0,16.6,383.78,7.37],[19.6091,0.0,18.1,0.0,0.671,7.313,97.9,1.3163,24.0,666.0,20.2,396.9,13.44],[0.09178,0.0,4.05,0.0,0.51,6.416,84.1,2.6463,5.0,296.0,16.6,395.5,9.04],[0.10328,25.0,5.13,0.0,0.453,5.927,47.2,6.932,8.0,284.0,19.7,396.9,9.22],[0.06417,0.0,5.96,0.0,0.499,5.933,68.2,3.3603,5.0,279.0,19.2,396.9,9.68],[1.13081,0.0,8.14,0.0,0.538,5.713,94.1,4.233,4.0,307.0,21.0,360.17,22.6],[0.0187,85.0,4.15,0.0,0.429,6.516,27.7,8.5353,4.0,351.0,17.9,392.43,6.36],[0.01096,55.0,2.25,0.0,0.389,6.453,31.9,7.3073,1.0,300.0,15.3,394.72,8.23],[0.07244,60.0,1.69,0.0,0.411,5.884,18.5,10.7103,4.0,411.0,18.3,392.33,7.79],[2.81838,0.0,18.1,0.0,0.532,5.762,40.3,4.0983,24.0,666.0,20.2,392.92,10.42],[1.00245,0.0,8.14,0.0,0.538,6.674,87.3,4.239,4.0,307.0,21.0,380.23,11.98],[14.3337,0.0,18.1,0.0,0.614,6.229,88.0,1.9512,24.0,666.0,20.2,383.32,13.11],[1.23247,0.0,8.14,0.0,0.538,6.142,91.7,3.9769,4.0,307.0,21.0,396.9,18.72],[0.03584,80.0,3.37,0.0,0.398,6.29,17.8,6.6115,4.0,337.0,16.1,396.9,4.67],[0.11747,12.5,7.87,0.0,0.524,6.009,82.9,6.2267,5.0,311.0,15.2,396.9,13.27],[0.19073,22.0,5.86,0.0,0.431,6.718,17.5,7.8265,7.0,330.0,19.1,393.74,6.56],[0.02729,0.0,7.07,0.0,0.469,7.185,61.1,4.9671,2.0,242.0,17.8,392.83,4.03],[0.04297,52.5,5.32,0.0,0.405,6.565,22.9,7.3172,6.0,293.0,16.6,371.72,9.51],[0.46296,0.0,6.2,0.0,0.504,7.412,76.9,3.6715,8.0,307.0,17.4,376.14,5.25],[0.07022,0.0,4.05,0.0,0.51,6.02,47.2,3.5549,5.0,296.0,16.6,393.23,10.11],[9.32909,0.0,18.1,0.0,0.713,6.185,98.7,2.2616,24.0,666.0,20.2,396.9,18.13],[0.09299,0.0,25.65,0.0,0.581,5.961,92.9,2.0869,2.0,188.0,19.1,378.09,17.93],[0.03113,0.0,4.39,0.0,0.442,6.014,48.5,8.0136,3.0,352.0,18.8,385.64,10.53],[0.13262,0.0,8.56,0.0,0.52,5.851,96.7,2.1069,5.0,384.0,20.9,394.05,16.47],[0.40771,0.0,6.2,1.0,0.507,6.164,91.3,3.048,8.0,307.0,17.4,395.24,21.46],[0.0837,45.0,3.44,0.0,0.437,7.185,38.9,4.5667,5.0,398.0,15.2,396.9,5.39],[12.8023,0.0,18.1,0.0,0.74,5.854,96.6,1.8956,24.0,666.0,20.2,240.52,23.79],[0.35114,0.0,7.38,0.0,0.493,6.041,49.9,4.7211,5.0,287.0,19.6,396.9,7.7],[24.8017,0.0,18.1,0.0,0.693,5.349,96.0,1.7028,24.0,666.0,20.2,396.9,19.77],[0.03049,55.0,3.78,0.0,0.484,6.874,28.1,6.4654,5.0,370.0,17.6,387.97,4.61],[0.16902,0.0,25.65,0.0,0.581,5.986,88.4,1.9929,2.0,188.0,19.1,385.02,14.81],[0.2498,0.0,21.89,0.0,0.624,5.857,98.2,1.6686,4.0,437.0,21.2,392.04,21.32],[15.288,0.0,18.1,0.0,0.671,6.649,93.3,1.3449,24.0,666.0,20.2,363.02,23.24],[6.96215,0.0,18.1,0.0,0.7,5.713,97.0,1.9265,24.0,666.0,20.2,394.43,17.11],[0.0686,0.0,2.89,0.0,0.445,7.416,62.5,3.4952,2.0,276.0,18.0,396.9,6.19],[8.05579,0.0,18.1,0.0,0.584,5.427,95.4,2.4298,24.0,666.0,20.2,352.58,18.14],[0.1029,30.0,4.93,0.0,0.428,6.358,52.9,7.0355,6.0,300.0,16.6,372.75,11.22],[5.58107,0.0,18.1,0.0,0.713,6.436,87.9,2.3158,24.0,666.0,20.2,100.19,16.22],[1.83377,0.0,19.58,1.0,0.605,7.802,98.2,2.0407,5.0,403.0,14.7,389.61,1.92],[0.12757,30.0,4.93,0.0,0.428,6.393,7.8,7.0355,6.0,300.0,16.6,374.71,5.19],[0.05302,0.0,3.41,0.0,0.489,7.079,63.1,3.4145,2.0,270.0,17.8,396.06,5.7],[0.85204,0.0,8.14,0.0,0.538,5.965,89.2,4.0123,4.0,307.0,21.0,392.53,13.83],[0.1265,25.0,5.13,0.0,0.453,6.762,43.4,7.9809,8.0,284.0,19.7,395.58,9.5],[14.4383,0.0,18.1,0.0,0.597,6.852,100.0,1.4655,24.0,666.0,20.2,179.36,19.78],[0.5405,20.0,3.97,0.0,0.575,7.47,52.6,2.872,5.0,264.0,13.0,390.3,3.16],[12.2472,0.0,18.1,0.0,0.584,5.837,59.7,1.9976,24.0,666.0,20.2,24.65,15.69],[0.06588,0.0,2.46,0.0,0.488,7.765,83.3,2.741,3.0,193.0,17.8,395.56,7.56],[0.03551,25.0,4.86,0.0,0.426,6.167,46.7,5.4007,4.0,281.0,19.0,390.64,7.51],[13.6781,0.0,18.1,0.0,0.74,5.935,87.9,1.8206,24.0,666.0,20.2,68.95,34.02],[7.52601,0.0,18.1,0.0,0.713,6.417,98.3,2.185,24.0,666.0,20.2,304.21,19.31],[0.98843,0.0,8.14,0.0,0.538,5.813,100.0,4.0952,4.0,307.0,21.0,394.54,19.88],[9.33889,0.0,18.1,0.0,0.679,6.38,95.6,1.9682,24.0,666.0,20.2,60.72,24.08],[0.04666,80.0,1.52,0.0,0.404,7.107,36.6,7.309,2.0,329.0,12.6,354.31,8.61],[0.12802,0.0,8.56,0.0,0.52,6.474,97.1,2.4329,5.0,384.0,20.9,395.24,12.27],[0.31827,0.0,9.9,0.0,0.544,5.914,83.2,3.9986,4.0,304.0,18.4,390.7,18.33],[0.07151,0.0,4.49,0.0,0.449,6.121,56.8,3.7476,3.0,247.0,18.5,395.15,8.44],[0.25387,0.0,6.91,0.0,0.448,5.399,95.3,5.87,3.0,233.0,17.9,396.9,30.81],[0.18836,0.0,6.91,0.0,0.448,5.786,33.3,5.1004,3.0,233.0,17.9,396.9,14.15],[0.10612,30.0,4.93,0.0,0.428,6.095,65.1,6.3361,6.0,300.0,16.6,394.62,12.4],[0.0578,0.0,2.46,0.0,0.488,6.98,58.4,2.829,3.0,193.0,17.8,396.9,5.04],[0.36894,22.0,5.86,0.0,0.431,8.259,8.4,8.9067,7.0,330.0,19.1,396.9,3.54],[8.20058,0.0,18.1,0.0,0.713,5.936,80.3,2.7792,24.0,666.0,20.2,3.5,16.94],[4.55587,0.0,18.1,0.0,0.718,3.561,87.9,1.6132,24.0,666.0,20.2,354.7,7.12],[5.82115,0.0,18.1,0.0,0.713,6.513,89.9,2.8016,24.0,666.0,20.2,393.82,10.29],[0.7857,20.0,3.97,0.0,0.647,7.014,84.6,2.1329,5.0,264.0,13.0,384.07,14.79],[0.03705,20.0,3.33,0.0,0.4429,6.968,37.2,5.2447,5.0,216.0,14.9,392.23,4.59],[38.3518,0.0,18.1,0.0,0.693,5.453,100.0,1.4896,24.0,666.0,20.2,396.9,30.59],[0.05515,33.0,2.18,0.0,0.472,7.236,41.1,4.022,7.0,222.0,18.4,393.68,6.93],[0.02731,0.0,7.07,0.0,0.469,6.421,78.9,4.9671,2.0,242.0,17.8,396.9,9.14],[0.52058,0.0,6.2,1.0,0.507,6.631,76.5,4.148,8.0,307.0,17.4,388.45,9.54],[25.0461,0.0,18.1,0.0,0.693,5.987,100.0,1.5888,24.0,666.0,20.2,396.9,26.77],[0.01311,90.0,1.22,0.0,0.403,7.249,21.9,8.6966,5.0,226.0,17.9,395.93,4.81],[0.1146,20.0,6.96,0.0,0.464,6.538,58.7,3.9175,3.0,223.0,18.6,394.96,7.73],[4.0974,0.0,19.58,0.0,0.871,5.468,100.0,1.4118,5.0,403.0,14.7,396.9,26.42],[1.19294,0.0,21.89,0.0,0.624,6.326,97.7,2.271,4.0,437.0,21.2,396.9,12.26],[14.3337,0.0,18.1,0.0,0.7,4.88,100.0,1.5895,24.0,666.0,20.2,372.92,30.62],[0.47547,0.0,9.9,0.0,0.544,6.113,58.8,4.0019,4.0,304.0,18.4,396.23,12.73],[0.09266,34.0,6.09,0.0,0.433,6.495,18.4,5.4917,7.0,329.0,16.1,383.61,8.67],[7.99248,0.0,18.1,0.0,0.7,5.52,100.0,1.5331,24.0,666.0,20.2,396.9,24.56],[0.34109,0.0,7.38,0.0,0.493,6.415,40.1,4.7211,5.0,287.0,19.6,396.9,6.12],[0.09512,0.0,12.83,0.0,0.437,6.286,45.0,4.5026,5.0,398.0,18.7,383.23,8.94],[9.59571,0.0,18.1,0.0,0.693,6.404,100.0,1.639,24.0,666.0,20.2,376.11,20.31],[0.04684,0.0,3.41,0.0,0.489,6.417,66.1,3.0923,2.0,270.0,17.8,392.18,8.81],[2.3139,0.0,19.58,0.0,0.605,5.88,97.3,2.3887,5.0,403.0,14.7,348.13,12.03],[0.0351,95.0,2.68,0.0,0.4161,7.853,33.2,5.118,4.0,224.0,14.7,392.78,3.81],[0.03237,0.0,2.18,0.0,0.458,6.998,45.8,6.0622,3.0,222.0,18.7,394.63,2.94],[0.33983,22.0,5.86,0.0,0.431,6.108,34.9,8.0555,7.0,330.0,19.1,390.18,9.16],[1.6566,0.0,19.58,0.0,0.871,6.122,97.3,1.618,5.0,403.0,14.7,372.8,14.1],[0.0456,0.0,13.89,1.0,0.55,5.888,56.0,3.1121,5.0,276.0,16.4,392.8,13.51],[0.06911,45.0,3.44,0.0,0.437,6.739,30.8,6.4798,5.0,398.0,15.2,389.71,4.69],[0.14476,0.0,10.01,0.0,0.547,5.731,65.2,2.7592,6.0,432.0,17.8,391.5,13.61],[0.537,0.0,6.2,0.0,0.504,5.981,68.1,3.6715,8.0,307.0,17.4,378.35,11.65],[0.00906,90.0,2.97,0.0,0.4,7.088,20.8,7.3073,1.0,285.0,15.3,394.72,7.85],[0.12083,0.0,2.89,0.0,0.445,8.069,76.0,3.4952,2.0,276.0,18.0,396.9,4.21],[9.91655,0.0,18.1,0.0,0.693,5.852,77.8,1.5004,24.0,666.0,20.2,338.16,29.97],[0.08387,0.0,12.83,0.0,0.437,5.874,36.6,4.5026,5.0,398.0,18.7,396.06,9.1],[0.19657,22.0,5.86,0.0,0.431,6.226,79.2,8.0555,7.0,330.0,19.1,376.14,10.15],[0.03359,75.0,2.95,0.0,0.428,7.024,15.8,5.4011,3.0,252.0,18.3,395.62,1.98],[6.44405,0.0,18.1,0.0,0.584,6.425,74.8,2.2004,24.0,666.0,20.2,97.95,12.03],[1.41385,0.0,19.58,1.0,0.871,6.129,96.0,1.7494,5.0,403.0,14.7,321.02,15.12],[2.33099,0.0,19.58,0.0,0.871,5.186,93.8,1.5296,5.0,403.0,14.7,356.99,28.32],[11.8123,0.0,18.1,0.0,0.718,6.824,76.5,1.794,24.0,666.0,20.2,48.45,22.74],[0.33045,0.0,6.2,0.0,0.507,6.086,61.5,3.6519,8.0,307.0,17.4,376.75,10.88],[0.02899,40.0,1.25,0.0,0.429,6.939,34.5,8.7921,1.0,335.0,19.7,389.85,5.89],[9.96654,0.0,18.1,0.0,0.74,6.485,100.0,1.9784,24.0,666.0,20.2,386.73,18.85],[0.02763,75.0,2.95,0.0,0.428,6.595,21.8,5.4011,3.0,252.0,18.3,395.63,4.32],[0.32982,0.0,21.89,0.0,0.624,5.822,95.4,2.4699,4.0,437.0,21.2,388.69,15.03],[0.00632,18.0,2.31,0.0,0.538,6.575,65.2,4.09,1.0,296.0,15.3,396.9,4.98],[0.04113,25.0,4.86,0.0,0.426,6.727,33.5,5.4007,4.0,281.0,19.0,396.9,5.29],[0.04417,70.0,2.24,0.0,0.4,6.871,47.4,7.8278,5.0,358.0,14.8,390.86,6.07],[10.8342,0.0,18.1,0.0,0.679,6.782,90.8,1.8195,24.0,666.0,20.2,21.57,25.79],[5.44114,0.0,18.1,0.0,0.713,6.655,98.2,2.3552,24.0,666.0,20.2,355.29,17.73],[0.22927,0.0,6.91,0.0,0.448,6.03,85.5,5.6894,3.0,233.0,17.9,392.74,18.8],[0.11132,0.0,27.74,0.0,0.609,5.983,83.5,2.1099,4.0,711.0,20.1,396.9,13.35],[0.01301,35.0,1.52,0.0,0.442,7.241,49.3,7.0379,1.0,284.0,15.5,394.74,5.49],[0.11432,0.0,8.56,0.0,0.52,6.781,71.3,2.8561,5.0,384.0,20.9,395.58,7.67],[0.17134,0.0,10.01,0.0,0.547,5.928,88.2,2.4631,6.0,432.0,17.8,344.91,15.76],[0.04337,21.0,5.64,0.0,0.439,6.115,63.0,6.8147,4.0,243.0,16.8,393.97,9.43],[13.3598,0.0,18.1,0.0,0.693,5.887,94.7,1.7821,24.0,666.0,20.2,396.9,16.35],[0.34006,0.0,21.89,0.0,0.624,6.458,98.9,2.1185,4.0,437.0,21.2,395.04,12.6],[1.20742,0.0,19.58,0.0,0.605,5.875,94.6,2.4259,5.0,403.0,14.7,292.29,14.43],[0.01778,95.0,1.47,0.0,0.403,7.135,13.9,7.6534,3.0,402.0,17.0,384.3,4.45],[8.24809,0.0,18.1,0.0,0.713,7.393,99.3,2.4527,24.0,666.0,20.2,375.87,16.74],[2.3004,0.0,19.58,0.0,0.605,6.319,96.1,2.1,5.0,403.0,14.7,297.09,11.1],[1.49632,0.0,19.58,0.0,0.871,5.404,100.0,1.5916,5.0,403.0,14.7,341.6,13.28],[8.79212,0.0,18.1,0.0,0.584,5.565,70.6,2.0635,24.0,666.0,20.2,3.65,17.16],[0.14932,25.0,5.13,0.0,0.453,5.741,66.2,7.2254,8.0,284.0,19.7,395.11,13.15],[0.08014,0.0,5.96,0.0,0.499,5.85,41.5,3.9342,5.0,279.0,19.2,396.9,8.77],[11.9511,0.0,18.1,0.0,0.659,5.608,100.0,1.2852,24.0,666.0,20.2,332.09,12.13],[0.06466,70.0,2.24,0.0,0.4,6.345,20.1,7.8278,5.0,358.0,14.8,368.24,4.97],[0.21038,20.0,3.33,0.0,0.4429,6.812,32.2,4.1007,5.0,216.0,14.9,396.9,4.85],[2.44668,0.0,19.58,0.0,0.871,5.272,94.0,1.7364,5.0,403.0,14.7,88.63,16.14],[0.08826,0.0,10.81,0.0,0.413,6.417,6.6,5.2873,4.0,305.0,19.2,383.73,6.72],[0.05425,0.0,4.05,0.0,0.51,6.315,73.4,3.3175,5.0,296.0,16.6,395.6,6.29],[0.52693,0.0,6.2,0.0,0.504,8.725,83.0,2.8944,8.0,307.0,17.4,382.0,4.63],[0.10008,0.0,2.46,0.0,0.488,6.563,95.6,2.847,3.0,193.0,17.8,396.9,5.68],[0.02875,28.0,15.04,0.0,0.464,6.211,28.9,3.6659,4.0,270.0,18.2,396.33,6.21],[1.42502,0.0,19.58,0.0,0.871,6.51,100.0,1.7659,5.0,403.0,14.7,364.31,7.39],[0.1,34.0,6.09,0.0,0.433,6.982,17.7,5.4917,7.0,329.0,16.1,390.43,4.86],[9.82349,0.0,18.1,0.0,0.671,6.794,98.8,1.358,24.0,666.0,20.2,396.9,21.24],[0.19133,22.0,5.86,0.0,0.431,5.605,70.2,7.9549,7.0,330.0,19.1,389.13,18.46],[0.11425,0.0,13.89,1.0,0.55,6.373,92.4,3.3633,5.0,276.0,16.4,393.74,10.5],[0.07875,45.0,3.44,0.0,0.437,6.782,41.1,3.7886,5.0,398.0,15.2,393.87,6.68],[0.05644,40.0,6.41,1.0,0.447,6.758,32.9,4.0776,4.0,254.0,17.6,396.9,3.53],[0.04294,28.0,15.04,0.0,0.464,6.249,77.3,3.615,4.0,270.0,18.2,396.9,10.59],[0.21977,0.0,6.91,0.0,0.448,5.602,62.0,6.0877,3.0,233.0,17.9,396.9,16.2],[0.31533,0.0,6.2,0.0,0.504,8.266,78.3,2.8944,8.0,307.0,17.4,385.05,4.14],[0.07886,80.0,4.95,0.0,0.411,7.148,27.7,5.1167,4.0,245.0,19.2,396.9,3.56],[0.10659,80.0,1.91,0.0,0.413,5.936,19.5,10.5857,4.0,334.0,22.0,376.04,5.57],[0.01501,90.0,1.21,1.0,0.401,7.923,24.8,5.885,1.0,198.0,13.6,395.52,3.16],[0.02985,0.0,2.18,0.0,0.458,6.43,58.7,6.0622,3.0,222.0,18.7,394.12,5.21],[0.22188,20.0,6.96,1.0,0.464,7.691,51.8,4.3665,3.0,223.0,18.6,390.77,6.58],[0.06211,40.0,1.25,0.0,0.429,6.49,44.4,8.7921,1.0,335.0,19.7,396.9,5.98],[0.19186,0.0,7.38,0.0,0.493,6.431,14.7,5.4159,5.0,287.0,19.6,393.68,5.08],[0.04011,80.0,1.52,0.0,0.404,7.287,34.1,7.309,2.0,329.0,12.6,396.9,4.08],[0.13554,12.5,6.07,0.0,0.409,5.594,36.8,6.498,4.0,345.0,18.9,396.9,13.09],[0.03306,0.0,5.19,0.0,0.515,6.059,37.3,4.8122,5.0,224.0,20.2,396.14,8.51],[0.11329,30.0,4.93,0.0,0.428,6.897,54.3,6.3361,6.0,300.0,16.6,391.25,11.38],[0.13914,0.0,4.05,0.0,0.51,5.572,88.5,2.5961,5.0,296.0,16.6,396.9,14.69],[0.03659,25.0,4.86,0.0,0.426,6.302,32.2,5.4007,4.0,281.0,19.0,396.9,6.72],[0.13158,0.0,10.01,0.0,0.547,6.176,72.5,2.7301,6.0,432.0,17.8,393.3,12.04],[13.5222,0.0,18.1,0.0,0.631,3.863,100.0,1.5106,24.0,666.0,20.2,131.42,13.33],[0.04462,25.0,4.86,0.0,0.426,6.619,70.4,5.4007,4.0,281.0,19.0,395.63,7.22],[0.15936,0.0,6.91,0.0,0.448,6.211,6.5,5.7209,3.0,233.0,17.9,394.46,7.44],[3.77498,0.0,18.1,0.0,0.655,5.952,84.7,2.8715,24.0,666.0,20.2,22.01,17.15],[0.20608,22.0,5.86,0.0,0.431,5.593,76.5,7.9549,7.0,330.0,19.1,372.49,12.5],[0.17004,12.5,7.87,0.0,0.524,6.004,85.9,6.5921,5.0,311.0,15.2,386.71,17.1],[0.03871,52.5,5.32,0.0,0.405,6.209,31.3,7.3172,6.0,293.0,16.6,396.9,7.14],[0.16439,22.0,5.86,0.0,0.431,6.433,49.1,7.8265,7.0,330.0,19.1,374.71,9.52],[0.04819,80.0,3.64,0.0,0.392,6.108,32.0,9.2203,1.0,315.0,16.4,392.89,6.57],[4.26131,0.0,18.1,0.0,0.77,6.112,81.3,2.5091,24.0,666.0,20.2,390.74,12.67],[0.06664,0.0,4.05,0.0,0.51,6.546,33.1,3.1323,5.0,296.0,16.6,390.96,5.33],[0.22489,12.5,7.87,0.0,0.524,6.377,94.3,6.3467,5.0,311.0,15.2,392.52,20.45],[0.04741,0.0,11.93,0.0,0.573,6.03,80.8,2.505,1.0,273.0,21.0,396.9,7.88],[0.17171,25.0,5.13,0.0,0.453,5.966,93.4,6.8185,8.0,284.0,19.7,378.08,14.44],[0.07013,0.0,13.89,0.0,0.55,6.642,85.1,3.4211,5.0,276.0,16.4,392.78,9.69],[0.01965,80.0,1.76,0.0,0.385,6.23,31.5,9.0892,1.0,241.0,18.2,341.6,12.93],[0.84054,0.0,8.14,0.0,0.538,5.599,85.7,4.4546,4.0,307.0,21.0,303.42,16.51],[4.54192,0.0,18.1,0.0,0.77,6.398,88.0,2.5182,24.0,666.0,20.2,374.56,7.79],[0.14455,12.5,7.87,0.0,0.524,6.172,96.1,5.9505,5.0,311.0,15.2,396.9,19.15],[3.32105,0.0,19.58,1.0,0.871,5.403,100.0,1.3216,5.0,403.0,14.7,396.9,26.82],[0.13642,0.0,10.59,0.0,0.489,5.891,22.3,3.9454,4.0,277.0,18.6,396.9,10.87],[2.63548,0.0,9.9,0.0,0.544,4.973,37.8,2.5194,4.0,304.0,18.4,350.45,12.64],[0.09065,20.0,6.96,1.0,0.464,5.92,61.5,3.9175,3.0,223.0,18.6,391.34,13.65],[0.14103,0.0,13.92,0.0,0.437,5.79,58.0,6.32,4.0,289.0,16.0,396.9,15.84],[0.10959,0.0,11.93,0.0,0.573,6.794,89.3,2.3889,1.0,273.0,21.0,393.45,6.48],[0.0536,21.0,5.64,0.0,0.439,6.511,21.1,6.8147,4.0,243.0,16.8,396.9,5.28],[0.62356,0.0,6.2,1.0,0.507,6.879,77.7,3.2721,8.0,307.0,17.4,390.39,9.93],[0.21409,22.0,5.86,0.0,0.431,6.438,8.9,7.3967,7.0,330.0,19.1,377.07,3.59],[0.38214,0.0,6.2,0.0,0.504,8.04,86.5,3.2157,8.0,307.0,17.4,387.38,3.13],[18.0846,0.0,18.1,0.0,0.679,6.434,100.0,1.8347,24.0,666.0,20.2,27.25,29.05],[0.1415,0.0,6.91,0.0,0.448,6.169,6.6,5.7209,3.0,233.0,17.9,383.37,5.81],[18.811,0.0,18.1,0.0,0.597,4.628,100.0,1.5539,24.0,666.0,20.2,28.79,34.37],[41.5292,0.0,18.1,0.0,0.693,5.531,85.4,1.6074,24.0,666.0,20.2,329.46,27.38],[0.15038,0.0,25.65,0.0,0.581,5.856,97.0,1.9444,2.0,188.0,19.1,370.31,25.41],[1.80028,0.0,19.58,0.0,0.605,5.877,79.2,2.4259,5.0,403.0,14.7,227.61,12.14],[0.01501,80.0,2.01,0.0,0.435,6.635,29.7,8.344,4.0,280.0,17.0,390.94,5.99],[3.69695,0.0,18.1,0.0,0.718,4.963,91.4,1.7523,24.0,666.0,20.2,316.03,14.0],[0.40202,0.0,9.9,0.0,0.544,6.382,67.2,3.5325,4.0,304.0,18.4,395.21,10.36],[3.53501,0.0,19.58,1.0,0.871,6.152,82.6,1.7455,5.0,403.0,14.7,88.01,15.02],[2.36862,0.0,19.58,0.0,0.871,4.926,95.7,1.4608,5.0,403.0,14.7,391.71,29.53],[0.43571,0.0,10.59,1.0,0.489,5.344,100.0,3.875,4.0,277.0,18.6,396.9,23.09],[12.0482,0.0,18.1,0.0,0.614,5.648,87.6,1.9512,24.0,666.0,20.2,291.55,14.1],[0.15098,0.0,10.01,0.0,0.547,6.021,82.6,2.7474,6.0,432.0,17.8,394.51,10.3],[0.04981,21.0,5.64,0.0,0.439,5.998,21.4,6.8147,4.0,243.0,16.8,396.9,8.43],[17.8667,0.0,18.1,0.0,0.671,6.223,100.0,1.3861,24.0,666.0,20.2,393.74,21.78],[0.12932,0.0,13.92,0.0,0.437,6.678,31.1,5.9604,4.0,289.0,16.0,396.9,6.27],[0.15445,25.0,5.13,0.0,0.453,6.145,29.2,7.8148,8.0,284.0,19.7,390.68,6.86],[0.06129,20.0,3.33,1.0,0.4429,7.645,49.7,5.2119,5.0,216.0,14.9,377.07,3.01],[2.14918,0.0,19.58,0.0,0.871,5.709,98.5,1.6232,5.0,403.0,14.7,261.95,15.79],[0.79041,0.0,9.9,0.0,0.544,6.122,52.8,2.6403,4.0,304.0,18.4,396.9,5.98],[0.12204,0.0,2.89,0.0,0.445,6.625,57.8,3.4952,2.0,276.0,18.0,357.98,6.65],[0.29916,20.0,6.96,0.0,0.464,5.856,42.1,4.429,3.0,223.0,18.6,388.65,13.0],[0.13587,0.0,10.59,1.0,0.489,6.064,59.1,4.2392,4.0,277.0,18.6,381.32,14.66],[7.75223,0.0,18.1,0.0,0.713,6.301,83.7,2.7831,24.0,666.0,20.2,272.21,16.23],[0.26363,0.0,8.56,0.0,0.52,6.229,91.2,2.5451,5.0,384.0,20.9,391.23,15.55],[0.54452,0.0,21.89,0.0,0.624,6.151,97.9,1.6687,4.0,437.0,21.2,396.9,18.46],[0.03578,20.0,3.33,0.0,0.4429,7.82,64.5,4.6947,5.0,216.0,14.9,387.31,3.76],[0.17783,0.0,9.69,0.0,0.585,5.569,73.5,2.3999,6.0,391.0,19.2,395.77,15.1],[0.6718,0.0,18.1,0.0,0.74,6.459,94.8,1.9879,24.0,666.0,20.2,43.06,23.98],[0.23912,0.0,9.69,0.0,0.585,6.019,65.3,2.4091,6.0,391.0,19.2,396.9,12.92],[5.29305,0.0,18.1,0.0,0.7,6.051,82.5,2.1678,24.0,666.0,20.2,378.38,18.76],[0.75026,0.0,8.14,0.0,0.538,5.924,94.1,4.3996,4.0,307.0,21.0,394.33,16.3],[0.04203,28.0,15.04,0.0,0.464,6.442,53.6,3.6659,4.0,270.0,18.2,395.01,8.16],[1.62864,0.0,21.89,0.0,0.624,5.019,100.0,1.4394,4.0,437.0,21.2,396.9,34.41],[0.06151,0.0,5.19,0.0,0.515,5.968,58.5,4.8122,5.0,224.0,20.2,396.9,9.29],[8.71675,0.0,18.1,0.0,0.693,6.471,98.8,1.7257,24.0,666.0,20.2,391.98,17.12],[4.66883,0.0,18.1,0.0,0.713,5.976,87.9,2.5806,24.0,666.0,20.2,10.48,19.01],[0.03738,0.0,5.19,0.0,0.515,6.31,38.5,6.4584,5.0,224.0,20.2,389.4,6.75],[4.75237,0.0,18.1,0.0,0.713,6.525,86.5,2.4358,24.0,666.0,20.2,50.92,18.13],[0.10574,0.0,27.74,0.0,0.609,5.983,98.8,1.8681,4.0,711.0,20.1,390.11,18.07],[3.1636,0.0,18.1,0.0,0.655,5.759,48.2,3.0665,24.0,666.0,20.2,334.4,14.13],[0.55778,0.0,21.89,0.0,0.624,6.335,98.2,2.1107,4.0,437.0,21.2,394.67,16.96],[11.5779,0.0,18.1,0.0,0.7,5.036,97.0,1.77,24.0,666.0,20.2,396.9,25.68],[11.0874,0.0,18.1,0.0,0.718,6.411,100.0,1.8589,24.0,666.0,20.2,318.75,15.02]], target: [22.8,23.2,13.5,29.0,19.6,8.7,28.1,27.9,8.8,12.8,10.4,19.7,23.9,33.4,22.3,22.5,22.0,14.9,17.2,41.7,13.4,23.9,21.7,31.1,7.2,21.8,8.1,50.0,11.7,18.5,10.5,22.4,15.7,22.8,11.5,20.4,30.1,32.0,22.7,20.8,20.6,43.8,28.2,19.5,24.1,19.8,29.8,23.7,29.9,17.5,13.3,37.0,11.9,44.0,36.4,22.0,18.2,20.9,23.1,10.5,13.6,20.3,8.5,26.4,16.5,23.7,21.7,31.5,27.5,13.4,50.0,19.3,22.9,21.9,19.1,23.8,20.9,23.0,18.3,25.0,21.4,22.8,20.0,21.7,16.2,22.0,23.1,36.0,23.4,22.3,21.4,10.9,16.8,50.0,11.0,22.2,21.2,19.1,16.7,14.3,23.9,17.1,29.0,31.0,28.5,18.2,16.1,14.5,50.0,12.0,15.0,19.9,20.2,19.4,21.7,20.4,13.1,9.6,50.0,19.8,30.1,21.1,22.0,27.0,8.8,31.6,24.1,11.8,23.0,11.3,28.4,17.4,33.0,34.9,50.0,20.8,31.5,16.2,18.8,22.8,50.0,23.0,18.5,19.9,12.6,18.4,29.1,33.2,14.5,13.8,19.5,33.8,21.7,20.6,22.5,21.2,14.2,19.3,22.6,20.1,8.3,17.2,13.1,31.6,50.0,13.8,21.6,14.6,23.9,5.0,22.2,25.0,48.8,24.3,50.0,18.4,16.5,19.4,19.9,15.4,7.4,14.1,23.7,20.6,29.8,10.9,16.8,18.6,34.6,17.1,15.3,50.0,24.4,41.3,7.0,21.7,13.8,19.0,19.3,33.1,17.2,16.3,18.2,12.5,7.0,46.7,43.1,22.4,25.2,21.5,36.2,50.0,42.3,25.0,16.6,19.4,13.4,18.5,17.7,14.9,24.5,19.1,20.0,15.6,37.9,30.1,17.1,20.1,21.2,24.1,50.0,17.8,18.8,29.1,13.8,24.7,14.0,10.4,24.7,24.4,27.1,50.0,16.4,26.7,20.3,29.6,18.9,7.2,15.2,20.4,23.8,23.1,36.2,26.6,22.7,22.2,18.0,15.6,48.3,14.8,13.2,23.6,18.7,36.5,19.5,29.6,26.6,19.3,20.0,22.6,19.7,23.3,15.0,23.6,19.6,18.9,12.7,23.1,22.0,18.6,21.8,21.0,21.4,15.2,23.5,18.9,26.2,34.7,24.8,31.7,23.2,14.1,20.5,17.5,19.5,21.7,34.9,10.8,20.4,8.3,31.2,21.4,13.3,13.9,15.1,33.2,13.8,22.2,14.3,50.0,23.7,28.7,19.6,25.0,27.5,43.5,10.2,39.8,22.9,8.4,13.0,14.5,9.5,30.3,19.8,17.8,22.2,14.4,20.0,20.1,37.2,42.8,13.5,27.5,20.2,30.7,35.4,5.0,36.1,21.6,25.1,5.6,35.4,24.4,15.6,19.6,10.2,21.0,26.4,12.3,25.0,21.4,12.1,22.6,19.1,48.5,33.4,24.3,21.5,23.3,30.5,19.3,24.3,32.2,38.7,6.3,20.3,20.5,34.9,16.1,17.0,17.8,8.4,24.0,26.6,15.4,30.8,18.4,24.0,28.0,24.8,7.5,15.2,16.6,20.1,32.7,26.5,18.3,20.5,12.7,19.2,17.4,32.9,17.8,23.8,19.6,11.7,18.7,21.0,27.9,22.5,35.1,13.1,24.2,24.6,50.0,32.5,25.0,23.3,33.1,13.3,18.5,23.0,32.0,32.4,20.6,19.4,44.8,37.3,20.6,50.0,28.7,35.2,22.9,24.6,33.3,17.4,20.6,22.0,23.1,24.8,21.2,23.1,23.9,24.7,19.0,17.6,18.9,23.2,24.5,21.9,22.6,29.4,15.0,11.9,16.0,28.7,20.1,13.9,25.0,27.1,13.4,22.6,16.1,20.7,20.3,22.0,25.0,27.5,24.8,37.6,7.2,25.3,17.9,8.5,17.3,23.8,24.5,21.9,23.1,15.6,14.6,20.0,20.8,19.2,23.4,10.2,28.6,23.3,46.0,19.4,22.1,28.4,21.1,24.4,14.9,19.4,17.8,45.4,17.5,11.8,21.2,23.2,15.6,22.9,14.4,18.7,13.1,12.7,20.7,14.1,13.6,19.9,18.1,9.7,16.7]};"
  },
  {
    "path": "ml/gbdt/src/gradient_boosting.js",
    "content": "/**\n * Gradient Boosting Regression Tree (GBRT) Module\n * @author https://github.com/wellflat\n */\n\nimport RegressionTree from './regression_tree';\n\nexport default class GradientBoostingRegressor {\n    /**\n     * @param {number} nEstimators\n     * @param {number} learningRate\n     * @param {number} depth\n     * @param {Function} lossFunction\n     */\n    constructor(nEstimators = 100, learningRate = 0.1, depth = 3, lossFunction = (y, f) => y - f) {\n        /** @type {number} */\n        this.depth = depth;\n        /** @type {number} */\n        this.nEstimators = nEstimators;\n        /** @type {RegressionTree[]} */\n        this.trees = [];\n        for (let i = 0; i < this.nEstimators; i++) {\n            this.trees[i] = new RegressionTree(this.depth);\n        }\n        /** @type {number} */\n        this.lr = learningRate;\n        /** @type {Function} */\n        this.loss = lossFunction;\n    }\n\n    /**\n     * @param {Float64Array[]} x\n     * @param {Float64Array} y\n     */\n    fit(x, y) {\n        if (x.length != y.length) {\n            throw Error('x.length != y.length');\n        }\n        this.trees[0].fit(x, y);\n        let f = x.map(v =>  this.trees[0].predict(v));\n        for (let i = 1; i < this.nEstimators; i++) {\n            const ngrad = y.map((v, i) =>  this.loss(v, f[i]));\n            this.trees[i].fit(x, ngrad);\n            f = x.map((v, j) => f[j] + this.lr * this.trees[i].predict(v));\n        }\n    }\n\n    /**\n     * @param {Float64Array|Float64Array[]} x\n     * @return {number|number[]}\n     */\n    predict(x) {\n        /** @type {number|number[]} */\n        let pred;\n        if (typeof x[0].length === 'undefined') {\n            pred = this.trees.slice(1).reduce((pred, tree) => {\n                return pred + this.lr * tree.predict(x);\n            }, this.trees[0].predict(x));\n        } else {\n            pred = new Array(x.length).fill(0.0).map((v, i) => {\n                return this.trees.slice(1).reduce((pred, tree) => {\n                    return pred + this.lr * tree.predict(x[i]);\n                }, this.trees[0].predict(x[i]));\n            });\n        }\n        return pred;\n    }\n}"
  },
  {
    "path": "ml/gbdt/src/index.js",
    "content": "import GradientBoostingRegressor from './gradient_boosting';\nimport boston from './boston_data';\nimport { rmse, score } from './metrics';\nimport sourcemap from 'source-map-support';\nsourcemap.install();\n\nconst [x, y] = [boston.data, boston.target];\nconst end = Math.floor(x.length * 0.8);\nconst trainX = x.slice(0, end),\n    testX = x.slice(end),\n    trainY = y.slice(0, end),\n    testY = y.slice(end);\n\nconsole.log(trainX.length, testX.length, trainY.length, testY.length);\n\nconst estimator = new GradientBoostingRegressor(100, 0.1, 3);\n\nconsole.log('train');\nconst st = new Date().getTime();\nestimator.fit(trainX, trainY);\nconsole.log(`${(new Date().getTime() - st) / 1000} sec`);\n\nconsole.log('predict');\nconst predY = estimator.predict(testX);\n\nconsole.log(`RMSE = ${rmse(testY, predY)}`);\nconsole.log(`R2 Score = ${score(testY, predY)}`);\n"
  },
  {
    "path": "ml/gbdt/src/metrics.js",
    "content": "/**\n * MSE (Mean Squared Error)\n * @param {number[]} test\n * @param {number[]} pred\n * @return {number}\n */\nexport function mse(test, pred) {\n    if (test.length != pred.length) {\n        throw Error('test.length != pred.length');\n    }\n    return test.reduce((p, c, i) => {\n        return p + (c - pred[i]) * (c - pred[i]);\n    }, 0.0) / pred.length;\n}\n\n/**\n * RMSE (Root Mean Squared Error)\n * @param {number[]} test\n * @param {number[]} pred\n * @return {number}\n */\nexport function rmse(test, pred) {\n    return Math.sqrt(mse(pred, test));\n}\n\n/**\n * R^2 score\n * @param {number[]} test\n * @param {number[]} pred \n * @return {number}\n */\nexport function score(test, pred) {\n    return 1.0 - mse(test, pred) / variance(test);\n}\n\n/**\n * Residuals\n * @param {number[]} test\n * @param {number[]} pred\n * @return {number[]}\n */\nexport function residual(test, pred) {\n    if (test.length != pred.length) {\n        throw Error('test.length != pred.length');\n    }\n    let residual = [];\n    for (let i = 0; i < test.length; i++) {\n        residual[i] = test[i] - pred[i];\n    }\n    return residual;\n}\n\n/**\n * @param {number[]} data\n * @return {number}\n */\nfunction variance(data) {\n    const mean = data.reduce((p, c) => p + c) / data.length;\n    return data.reduce((p, c) => {\n        return p + (c - mean) * (c - mean);\n    }, 0.0) / data.length;\n}"
  },
  {
    "path": "ml/gbdt/src/regression_tree.js",
    "content": "export default class RegressionTree {\n    /**\n     * @param {number} depth \n     */\n    constructor(depth) {\n        /** @type {number} */\n        this.N = (1 << depth) - 1;\n        /** @type {number} */\n        this.depth = depth;\n        /** @type {Node[]} */\n        this.nodes = [];\n        this.nodes.length = this.N;\n    }\n\n    /**\n     * @param {Float64Array[]} x\n     * @param {Float64Array} y\n     */\n    fit(x, y) {\n        for (let i = 0; i < this.N; i++) {\n            this.nodes[i] = new Node();\n        }\n        for (let i = 0; i < y.length; i++) {\n            this.nodes[0].ids.push(i);\n        }\n        for (let i = 0; i < this.N; i++) {\n            this.growTree(i, x, y);\n        }\n        this.nodes.forEach((node) => node.ids = []);\n    }\n\n    /**\n     * @param {Float64Array} x\n     * @return {number}\n     */\n    predict(x) {\n        if (this.N == 0) {\n            return 0.0;\n        }\n        let id = 0;\n        while (true) {\n            const node = this.nodes[id];\n            if (node.j == -1) {\n                return node.label;\n            }\n            if (x[node.j] < node.threshold) {\n                id = node.left;\n            } else {\n                id = node.right;\n            }\n        }\n    }\n\n    /**\n     * @param {number} id\n     * @param {Float64Array[]} x\n     * @param {Float64Array} y\n     */\n    growTree(id, x, y) {\n        const node = this.nodes[id];\n        node.label = 0.0;\n        let len = node.ids.length;\n        for (let i = 0; i < len; i++) {\n            node.label += y[node.ids[i]];\n        }\n        if (node.ids.length == 0) return;\n        node.label /= node.ids.length;\n        if (2 * id + 1 >= this.N) return;\n        [node.left, node.right] = [2 * id + 1, 2 * id + 2];\n        const best = this.searchBestSplit(id, x, y);\n        [node.j, node.threshold] = best;\n        if (best[0] == -1) return;\n        for (let i = 0; i < len; i++) {\n            if (x[node.ids[i]][node.j] < node.threshold) {\n                this.nodes[node.left].ids.push(node.ids[i]);\n            } else {\n                this.nodes[node.right].ids.push(node.ids[i]);\n            }\n        }\n    }\n\n    /**\n     * @param {number} id\n     * @param {Float64Array[]} x\n     * @param {Float64Array} y\n     * @return {number[]}\n     */\n    searchBestSplit(id, x, y) {\n        let currentImpurity = Number.MAX_VALUE,\n            dim = x[0].length,\n            len = this.nodes[id].ids.length,\n            best = [-1, Number.MAX_VALUE];\n        for (let j = 0; j < dim; j++) {\n            let v = new Float64Array(len);\n            for (let i = 0; i < len; i++) {\n                v[i] = x[this.nodes[id].ids[i]][j];\n            }\n            for (let i = 0; i < v.length; i++) {\n                const impurity = this.calculateImpurity(j, v[i], id, x, y);\n                if (currentImpurity > impurity) {\n                    currentImpurity = impurity;\n                    best = [j, v[i]];\n                }\n            }\n        }\n        return best;\n    }\n\n    /**\n     * @param {number} j \n     * @param {number} threshold\n     * @param {number} id \n     * @param {Float64Array[]} x \n     * @param {Float64Array} y \n     * @return {number}\n     */\n    calculateImpurity(j, threshold, id, x, y) {\n        let llabel = 0.0, rlabel = 0.0,\n            lnum = 0, rnum = 0,\n            len = this.nodes[id].ids.length;\n        for (let i = 0; i < len; i++) {\n            const ii = this.nodes[id].ids[i];\n            if (x[ii][j] < threshold) {\n                llabel += y[ii];\n                lnum++;\n            } else {\n                rlabel += y[ii];\n                rnum++;\n            }\n        }\n        if (lnum == 0 || rnum == 0) {\n            return Number.MAX_VALUE;\n        }\n        llabel /= lnum;\n        rlabel /= rnum;\n\n        let lcost = 0.0, rcost = 0.0;\n        for (let i = 0; i < len; i++) {\n            let ii = this.nodes[id].ids[i];\n            if (x[ii][j] < threshold) {\n                lcost += (y[ii] - llabel) * (y[ii] - llabel);\n            } else {\n                rcost += (y[ii] - rlabel) * (y[ii] - rlabel);\n            }\n        }\n        return lcost + rcost;\n    }\n}\n/**\n * Regression tree's node\n */\nclass Node {\n    constructor() {\n        this.left = -1;\n        this.right = -1;\n        this.j = -1;\n        /** @type {number[]} */\n        this.ids = [];\n        this.threshold = 0.0;\n        this.label = 0.0;\n    }\n}"
  },
  {
    "path": "ml/kmeans/kmeans.js",
    "content": "/**\n * provides routines for k-means clustering, generating code books,\n * and quantizing vectors by comparing them with centroids.\n * (specified CanvasPixelArray [[R,G,B],[R,G,B],...])\n */\n\n/* performs k-means on a set of observation vectors forming k clusters */\nfunction kmeans(samples, ncluster, method) {\n  var centroids = [],\n      previous = [],\n      clusters = [],\n      code = [],\n      len = samples.length,\n      eps = 1.0e-8,\n      maxIter = 1000,\n      iter = 0,\n      distance = function(a, b) {\n        var dr = a[0] - b[0],\n            dg = a[1] - b[1],\n            db = a[2] - b[2];\n        return dr*dr + dg*dg + db*db;\n      },\n      nearest = function(sample, centroids) {\n        var minIndex = 0,\n            minDistance = Number.MAX_VALUE,\n            clusterCount = centroids.length;\n        for(var k=0; k<clusterCount; k++) {\n          var d = distance(centroids[k], sample);\n          if(minDistance > d) {\n            minDistance = d;\n            minIndex = k;\n          }\n        }\n        return [minIndex, minDistance];\n      },\n      initialize = function(samples, ncluster, method, centroids, clusters) {\n        var len = samples.length;\n        if(method === 'kmeans_pp') {\n          // kmeans++\n          var d = [], sumDistance = 0.0, label, k, i,\n              r = Math.floor(Math.random()*len);\n          centroids[0] = [];\n          centroids[0][0] = samples[r][0];\n          centroids[0][1] = samples[r][1];\n          centroids[0][2] = samples[r][2];\n          previous[0] = [0.0, 0.0, 0.0];\n          clusters[0] = [];\n          for(k=1; k<ncluster; k++) {\n            sumDistance = 0.0;\n            for(i=0; i<len; i++) {\n              d[i] = nearest(samples[i], centroids)[1];\n              sumDistance += d[i];\n            }\n            sumDistance *= Math.random();\n            for(i=0; i<len; i++) {\n              sumDistance -= d[i];\n              if(sumDistance > 0) continue;\n              centroids[k] = [];\n              centroids[k][0] = samples[i][0];\n              centroids[k][1] = samples[i][1];\n              centroids[k][2] = samples[i][2];\n              break;\n            }\n            previous[k] = [0.0, 0.0, 0.0];\n            clusters[k] = [];\n          }\n          for(i=0; i<len; i++) {\n            label = nearest(samples[i], centroids);\n            clusters[label[0]].push(samples[i]);\n          }\n        } else {\n          // random\n          for(k=0; k<ncluster; k++) {\n            centroids[k] = [Math.random()*255, Math.random()*255, Math.random()*255];\n            previous[k] = [0.0, 0.0, 0.0];\n            clusters[k] = [];\n          }\n          for(i=0; i<len; i++) {\n            label = Math.floor(Math.random()*k);\n            clusters[label].push(samples[i]);\n          }\n        }\n        \n      },\n      canTerminate = function() {\n        var cnt = 0;\n        for(var k=0; k<ncluster; k++) {\n          if(distance(centroids[k], previous[k]) < eps) cnt++;\n        }\n        if(cnt === ncluster) return true;\n        else return false;\n      };\n  \n  // initializes centroids and clusters\n  initialize(samples, ncluster, method, centroids, clusters);\n  \n  while(!canTerminate() && iter < maxIter) {\n    iter++;\n    // calculates centroids\n    for(var k=0; k<ncluster; k++) {\n      if(!clusters[k] || !clusters.length) continue;\n      var r = 0.0, g = 0.0, b = 0.0, llen = clusters[k].length;\n      for(var i=0; i<llen; i++) {\n        r += clusters[k][i][0];\n        g += clusters[k][i][1];\n        b += clusters[k][i][2];\n      }\n      previous[k][0] = centroids[k][0];\n      previous[k][1] = centroids[k][1];\n      previous[k][2] = centroids[k][2];\n      centroids[k] = [r/llen, g/llen, b/llen];\n    }\n    // updates clusters\n    clusters = [];\n    code = [];\n    for(i=0; i<len; i++) {\n      var minDistance = Number.MAX_VALUE, currentLabel = -1;\n      for(k=0; k<ncluster; k++) {\n        var d = distance(centroids[k], samples[i]);\n        if(d < minDistance) {\n          minDistance = d;\n          currentLabel = k;\n        }\n      }\n      if(!clusters[currentLabel]) clusters[currentLabel] = [];\n      if(!code[currentLabel]) code[currentLabel] = [];\n      clusters[currentLabel].push(samples[i]);\n      code[currentLabel].push(i);\n    }\n  }\n  return {\"centroids\":centroids, \"code\":code};\n}\n\n/* quantizing vectors by comparing them with centroids */\nfunction vq(samples, centroids, code) {\n  var clusterCount = centroids.length,\n      len = samples.length;\n  for(var k=0; k<clusterCount; k++) {\n    var ilen = code[k].length;\n    for(var i=0; i<ilen; i++) {\n      samples[code[k][i]] = centroids[k];\n    }\n  }\n  return samples;\n}\n\n/* message handler */\nself.addEventListener('message', function(e) {\n  var message = e.data;\n  var codebook = kmeans(message.samples, message.ncluster, message.method);\n  var result = vq(message.samples, codebook[\"centroids\"], codebook[\"code\"]);\n  postMessage(result);\n}, false);\n\nself.addEventListener('error', function(e) {\n  postMessage(e);\n}, false);\n"
  },
  {
    "path": "ml/logistic_regression/logistic_regression.ts",
    "content": "﻿module ml {\n    /**\n     * Logistic Regression class\n     */\n    export class LogisticRegression {\n\n        constructor(private input: Matrix, private label: Matrix,\n            private W: Matrix = Matrix.zeros(input.cols, label.cols),\n            private b: Vector = Vector.zeros(label.cols)) {\n            // initializer\n        }\n\n        public fit(learningRate: number, iter: number, l2Reg: number = 0.00, verbose: boolean = false): void {\n            // TODO: implement early stopping\n            for(var i = 0; i < iter; i++) {\n                this.train(learningRate, l2Reg);\n                if(i % 10 == 0) {\n                    var loss: number = this.getLoss();\n                    if(verbose) {\n                        console.log(\"Loss: \" + loss.toString());\n                    }\n                    learningRate *= 0.995;\n                }\n            }\n        }\n\n        public train(learningRate: number, l2Reg: number = 0.00): void {\n            var prob: Matrix = this.softmax(this.input.dot(this.W).addBias(this.b)),\n                dy: Matrix = prob.subtract(this.label),\n                gradW: Matrix = this.input.transpose().dot(dy).subtract(this.W.multiply(l2Reg)),\n                gradB: Vector = dy.mean(0);\n            this.W = this.W.subtract(gradW.multiply(learningRate)),\n            this.b = this.b.subtract(gradB.multiply(learningRate));\n        }\n\n        public predict(x: Matrix): Matrix {\n            return this.softmax(x.dot(this.W).addBias(this.b));\n        }\n\n        // computes cross entropy loss\n        public getLoss(): number {\n            // -log P(t|p) = -(tlog(p) + (1 - t)log(1 - p))\n            // log loss is undefined for p=0 or p=1, so probabilities are clipped\n            var p: Matrix = this.softmax(this.input.dot(this.W).addBias(this.b)),\n                rows: number = this.label.rows,\n                cols: number = this.label.cols,\n                clip = x => Math.max(1.0e-14, Math.min(1 - 1.0e-14, x)),\n                one_t: Matrix = Matrix.ones(rows, cols).subtract(this.label), // 1 - t\n                logone_p: Matrix = Matrix.ones(rows, cols).subtract(p).map(clip).log(), // log(1 - p)\n                tlogp: Matrix = this.label.multiply(p.map(clip).log()),  // tlog(p)\n                loss: number = -(tlogp.add(one_t.multiply(logone_p)).sum(1).mean());\n            return loss;\n        }\n\n        // numerically stable softmax function\n        private softmax(x: Matrix): Matrix {\n            var elements: number[][] = [];\n            for(var i = 0; i < x.rows; i++) {\n                elements[i] = [];\n                var row: number[] = x.elements[i];\n                var max: number = Math.max.apply(null, row);\n                var total: number = 0.0;\n                row = row.map(value => Math.exp(value - max));\n                row.map(value => total += value);\n                var a: number[] = row.map(value => value / total);\n                for(var j = 0; j < x.cols; j++) {\n                    elements[i][j] = a[j];\n                }\n            }\n            return new Matrix(elements);\n        }\n        \n        // TODO: implement logsumexp\n        private softmax2(x: Matrix): Matrix {\n            var max: number = x.max();\n            var e: Matrix = x.map(value => Math.exp(value - max));\n            var elements: number[][] = [];\n            for(var i = 1; i <= e.rows; i++) {\n                elements[i - 1] = [];\n                var row: Vector = e.row(i);\n                var total: number = 0.0;\n                row.map(value => total += value);\n                var a: Vector = row.map(value => value / total);\n                for(var j = 1; j <= e.cols; j++) {\n                    elements[i - 1][j - 1] = a.at(j);\n                }\n            }\n            return new Matrix(elements);\n        }\n    }\n} "
  },
  {
    "path": "ml/logistic_regression/matrix.ts",
    "content": "﻿module ml {\n    /**\n     * Matrix class\n     */\n    export class Matrix {\n        public elements: number[][];\n\n        constructor(elements: number[][]) {\n            this.setElements(elements);\n        }\n        // accessors\n        get shape(): number[] {\n            var cols: number = (this.elements.length === 0) ? 0 : this.elements[0].length;\n            return [this.elements.length, cols];\n        }\n        get rows(): number { return this.elements.length; }\n        get cols(): number { return this.elements[0].length; }\n\n        static rand(n: number, m: number, round: boolean = false): Matrix {\n            if(round) {\n                return Matrix.zeros(n, m).map(Math.random).map(Math.round);\n            } else {\n                return Matrix.zeros(n, m).map(Math.random);\n            }\n            \n        }\n\n        static zeros(n: number, m: number): Matrix {\n            return Matrix.fill(n, m, 0);\n        }\n\n        static ones(n: number, m: number): Matrix {\n            return Matrix.fill(n, m, 1);\n        }\n\n        static fill(n: number, m: number, x: number): Matrix {\n            var elements: number[][] = [], i = n, j = m;\n            while(i--) {\n                j = m;\n                elements[i] = [];\n                while(j--) {\n                    elements[i][j] = x;\n                }\n            }\n            return new Matrix(elements);\n        }\n\n        public row(i: number): Vector {\n            if(i <= 0 || i > this.elements.length) {\n                throw new RangeError(\"index range error\");\n            }\n            return Vector.create(this.elements[i - 1]);\n        }\n\n        public col(j: number): Vector {\n            if(this.elements.length === 0 ||\n                j <= 0 || j > this.elements[0].length) {\n                throw new RangeError(\"index range error\");\n            }\n            var col: number[] = [],\n                n: number = this.elements.length;\n            for(var i = 0; i < n; i++) {\n                col[i] = this.elements[i][j - 1];\n            }\n            return Vector.create(col);\n        }\n\n        public at(i: number, j: number): number {\n            // Assertion\n            //if(i < 1 || i > this.elements.length || j < 1 || j > this.elements[0].length) {\n            //    throw new RangeError(\"index range error\");\n            //}\n            return this.elements[i - 1][j - 1];\n        }\n\n        public add(matrix: Matrix): Matrix {\n            if(!this.isSameSizeAs(matrix)) {\n                throw new Error(\"invalid matrix shape\");\n            }\n            return this.map((x, i, j) => x + matrix.elements[i - 1][j - 1]);\n        }\n\n        public subtract(matrix: Matrix): Matrix {\n            if(!this.isSameSizeAs(matrix)) {\n                throw new Error(\"invalid matrix shape\");\n            }\n            return this.map((x, i, j) => x - matrix.elements[i - 1][j - 1]);\n        }\n\n        private isSameSizeAs(matrix: Matrix): boolean {\n            return (this.elements.length === matrix.elements.length &&\n                this.elements[0].length === matrix.elements[0].length);\n        }\n\n        public multiply(matrix: number | Matrix): Matrix { // Jasmine not supported\n        //public multiply(matrix): Matrix {\n            if(typeof matrix === \"number\") {\n                return this.map(x => x * matrix);\n            } else {  // element-wise ( * operator in NumPy)\n                var mat: number[][] = matrix.elements,\n                    i: number = this.elements.length,\n                    j: number = 0,\n                    nj: number = mat[0].length,\n                    elements: number[][] = [];\n                while(i--) {\n                    j = nj;\n                    elements[i] = [];\n                    while(j--) {\n                        elements[i][j] = this.elements[i][j] * mat[i][j];\n                    }\n                }\n                return new Matrix(elements);\n            }\n        }\n\n        public dot(matrix: Matrix): Matrix {\n            // can multiply from left\n            if(this.elements[0].length !== matrix.elements.length) {\n                throw new Error(\"invalid matrix shape\");\n            }\n            var mat: number[][] = matrix.elements,\n                i: number = this.elements.length,\n                j: number = 0,\n                nj: number = mat[0].length,\n                cols: number = this.elements[0].length,\n                c: number = 0,\n                elements: number[][] = [],\n                sum: number = 0;\n            while(i--) {\n                j = nj;\n                elements[i] = [];\n                while(j--) {\n                    c = cols;\n                    sum = 0;\n                    while(c--) {\n                        sum += this.elements[i][c] * mat[c][j];\n                    }\n                    elements[i][j] = sum;\n                }\n            }\n            return new Matrix(elements);\n        }\n\n        public transpose(): Matrix {\n            var rows: number = this.elements.length,\n                cols: number = this.elements[0].length,\n                i: number = cols, j: number = rows,\n                elements: number[][] = [];\n            while(i--) {\n                j = rows;\n                elements[i] = [];\n                while(j--) {\n                    elements[i][j] = this.elements[j][i];\n                }\n            }\n            return new Matrix(elements);\n        }\n\n        public addBias(bias: Vector): Matrix {\n            if(bias.size !== this.elements[0].length) {\n                throw new Error(\"invalid vector size\");\n            }\n            var elements: number[][] = [],\n                rows: number = this.elements.length,\n                cols: number = this.elements[0].length;\n            for(var i = 0; i < rows; i++) {\n                elements[i] = [];\n                for(var j = 0; j < cols; j++) {\n                    elements[i][j] = this.elements[i][j] + bias.at(j + 1);\n                }\n            }\n            return new Matrix(elements);\n        }\n\n        public sum(axis: number = 0): Vector {\n            var sums: number[] = [],\n                rows: number = this.elements.length,\n                cols: number = this.elements[0].length;\n            if(axis == 0) {\n                for(var i = 0; i < cols; i++) {\n                    sums[i] = 0;\n                }\n                for(var i = 0; i < rows; i++) {\n                    for(var j = 0; j < cols; j++) {\n                        sums[j] += this.elements[i][j];\n                    }\n                }\n                return Vector.create(sums);\n            } else if(axis == 1) {\n                for(var i = 0; i < rows; i++) {\n                    sums[i] = 0;\n                }\n                for(var i = 0; i < rows; i++) {\n                    for(var j = 0; j < cols; j++) {\n                        sums[i] += this.elements[i][j];\n                    }\n                }\n                return Vector.create(sums);\n            }\n        }\n\n        public mean(axis: number = 0): Vector {\n            var rows: number = this.elements.length,\n                cols: number = this.elements[0].length;\n            if(axis == 0) {\n                return this.sum(axis).multiply(1.0 / rows);\n            } else if(axis == 1) {\n                return this.sum(axis).multiply(1.0 / cols);\n            }\n        }\n\n        public max(): number {\n            var rows: number = this.elements.length,\n                cols: number = this.elements[0].length,\n                max: number = 0.0,\n                tmp: number = 0;\n            for(var i = 0; i < rows; i++) {\n                for(var j = 0; j < cols; j++) {\n                    if(max < this.elements[i][j]) {\n                        max = this.elements[i][j];\n                    }\n                }\n            }\n            return max;\n        }\n\n        public log(): Matrix {\n            return this.map(x => Math.log(x));\n        }\n\n        public map(fn: Function): Matrix {\n            var elements: number[][] = [],\n                i: number = this.elements.length,\n                nj: number = this.elements[0].length,\n                j: number = nj;\n            while(i--) {\n                j = nj;\n                elements[i] = [];\n                while(j--) {\n                    elements[i][j] = fn.call(this, this.elements[i][j], i + 1, j + 1);\n                }\n            }\n            return new Matrix(elements);\n        }\n\n        public toString(round: boolean = false): string {\n            var rows: string[] = [],\n                elements: number[] = null,\n                n: number = this.elements.length;\n            for(var i = 0; i < n; i++) {\n                if(round) {\n                    elements = this.elements[i].map(x => Math.round(x * 1000) / 1000);\n                    rows[i] = Vector.create(elements).toString();\n                } else {\n                    rows[i] = Vector.create(this.elements[i]).toString();\n                }\n            }\n            return rows.join(\"\\n\");\n        }\n\n        private setElements(elements: number[][]) {\n            var i: number = 0, j: number = 0;\n            if(elements[0] && typeof elements[0][0] !== undefined) {\n                i = elements.length;\n                this.elements = [];\n                while(i--) {\n                    j = elements[i].length;\n                    this.elements[i] = [];\n                    while(j--) {\n                        this.elements[i][j] = elements[i][j];\n                    }\n                }\n            }\n        }\n    }\n}"
  },
  {
    "path": "ml/logistic_regression/vector.ts",
    "content": "﻿module ml {\n    /**\n     * Vector class\n     */\n    export class Vector {\n\n        constructor(public elements: number[]) { }\n\n        get size(): number { return this.elements.length; }\n\n        static create(elements: number[]): Vector {\n            return new Vector(elements.slice());\n        }\n\n        static rand(n: number): Vector {\n            var elements: number[] = [];\n            while(n--) { elements.push(Math.random()); }\n            return Vector.create(elements);\n        }\n\n        static zeros(n: number): Vector {\n            var elements: number[] = [];\n            while(n--) { elements.push(0); }\n            return Vector.create(elements);\n        }\n\n        static arange(n: number): Vector {\n            var elements: number[] = [];\n            for(var i = 0; i < n; i++) {\n                elements[i] = i;\n            }\n            return Vector.create(elements);\n        }\n\n        public clone(): Vector {\n            return Vector.create(this.elements);\n        }\n\n        public at(i: number): number {\n            //return (i < 1 || i > this.elements.length) ? null : this.elements[i - 1];\n            return this.elements[i - 1];\n        }\n\n        public add(vector: Vector): Vector {\n            var v: number[] = vector.elements;\n            if(this.elements.length !== v.length) { return null; }\n            return this.map((x, i) => x + v[i - 1]);\n        }\n\n        public subtract(vector: Vector): Vector {\n            var v: number[] = vector.elements;\n            if(this.elements.length !== v.length) { return null; }\n            return this.map((x, i) => x - v[i - 1]);\n        }\n\n        public multiply(k: number): Vector {\n            return this.map(x => x * k);\n        }\n\n        public dot(vector: Vector): number {\n            var v: number[] = vector.elements,\n                product: number = 0,\n                n: number = this.elements.length;\n            if(n !== v.length) {\n                return null;\n            }\n            while(n--) {\n                product += this.elements[n] * v[n];\n            }\n            return product;\n        }\n\n        public cross(vector: Vector): Vector {\n            var b: number[] = vector.elements;\n            if(this.elements.length !== 3 || b.length !== 3) {\n                return null;\n            }\n            var a: number[] = this.elements;\n            return Vector.create([\n                (a[1] * b[2]) - (a[2] * b[1]),\n                (a[2] * b[0]) - (a[0] * b[2]),\n                (a[0] * b[1]) - (a[1] * b[0])\n            ]);\n        }\n\n        public mean(): number {\n            var l: number = this.elements.length;\n            var sum: number = 0.0;\n            for(var i = 0; i < l; i++) {\n                sum += this.elements[i];\n            }\n            return sum / l;\n        }\n\n        public toString(): string {\n            return \"[\" + this.elements.join(\", \") + \"]\";\n        }\n\n        public map(fn: Function): Vector {\n            var elements: number[] = [];\n            this.forEach((x, i) => elements.push(fn.call(this, x, i)));\n            return Vector.create(elements);\n        }\n\n        private forEach(fn: Function): void {\n            var n: number = this.elements.length;\n            for(var i = 0; i < n; i++) {\n                fn.call(this, this.elements[i], i + 1);\n            }\n        }\n    }\n}"
  },
  {
    "path": "ml/scw/README.md",
    "content": "# SCW (Soft Confidence Weighted Learning)\n\n* SCW algorithm and LIBSVM format data loader modules  \n(JavaScript codes in 'out' directory)\n* LIBSVM Data: Classification (Binary Class) [a9a](https://www.csie.ntu.edu.tw/~cjlin/libsvmtools/datasets/binary.html#a9a)\n\n## usage in TypeScript\n\n```typescript\nimport {Feature, DataSet} from './types';\nimport {SCW} from './scw';\nimport {DataLoader} from './data_loader';\n\nconst featureSize: number = 123;\nconst eta: number = 0.9;\nconst C: number = 1.0;\nconst clf: SCW = new SCW(featureSize, eta, C, SCW.SCW_II);\nconst trainDataFile: string = 'data/a9a';\nconst testDataFile: string = 'data/a9a.t';\n\nconsole.log('asynchronous stream data read training');\nDataLoader.read(trainDataFile, featureSize, (x: Float32Array, label: number) => {\n    clf.update(x, label);\n}, () => {\n    console.log('a iteration training complete.');\n    let size: number = 0;\n    let error: number = 0;\n\n    DataLoader.read(testDataFile, featureSize, (x: Float32Array, label: number) => {\n        size++;\n        let predLabel: number = clf.predict(x);\n        if (predLabel != label) {\n            error++;\n        }\n    }, () => {\n        console.log('error rate = ' + (error / size));\n    });\n});\n\nconsole.log('synchronous batch data read training');\nconst trainData: DataLoader = new DataLoader(trainDataFile, featureSize);\nconst testData: DataLoader = new DataLoader(testDataFile, featureSize);\nconsole.log('load data complete.');\nconsole.log(trainData.size, testData.size);\n\nconst maxIter: number = 5;\nfor (let i = 0; i < maxIter; i++) {\n    trainData.data.forEach(e => {\n        clf.update(<Float32Array>e.x, e.label);\n    });\n    let error: number = 0;\n    testData.data.forEach(e => {\n        let predLabel: number = clf.predict(<Float32Array>e.x);\n        if (predLabel != e.label) {\n            error++;\n        }\n    });\n    console.log('iteration: ' + (i + 1) + ', error rate = ' + (error / testData.size));\n}\n```\n"
  },
  {
    "path": "ml/scw/data_loader.ts",
    "content": "/**\n * Data loader for LIBSVM data format\n * <label> <index1>:<value1> <index2>:<value2> ... \\n\n */\n\nimport * as fs from 'fs';\nimport * as readline from 'readline';\nimport {Feature, DataSet} from './types';\n\nexport class DataLoader {\n    private buffer: Buffer;\n    private dataSet: DataSet;\n    private filePath: string;\n    private dataNum: number;\n\n    get data(): DataSet {\n        return this.dataSet;\n    }\n    get size(): number {\n        return this.dataNum;\n    }\n\n    constructor(filePath: string, featureSize: number = 0) {\n        this.filePath = filePath;\n        this.buffer = fs.readFileSync(this.filePath);\n        this.dataSet = [];\n        if (featureSize > 0) {\n            this.parsePaddingZero(featureSize);\n        } else {\n            this.parse();\n        }\n    }\n\n    private parse(): void {\n        let lines: string[] = this.buffer.toString().split('\\n');\n        this.dataNum = lines.length - 1;\n        lines.forEach(line => {\n            const fields: string[] = line.split(/[\\s:]/);\n            const label: number = fields[0].charAt(0) == '+' ? +1 : -1;\n            const x: Feature = [];\n            const len: number = fields.length;\n            for (let i = 1; i < len; i += 2) {\n                let index: number = parseInt(fields[i]) - 1;\n                let value: number = parseFloat(fields[i + 1]);\n                let element = { index, value };\n                x.push(element);\n            }\n            this.dataSet.push({ label, x });\n        });\n    }\n\n    private parsePaddingZero(featureSize: number): void {\n        let lines: string[] = this.buffer.toString().split('\\n');\n        this.dataNum = lines.length - 1;\n        lines.forEach(line => {\n            const fields: string[] = line.split(/[\\s:]/);\n            const label: number = fields[0].charAt(0) == '+' ? +1 : -1;\n            const x: Float32Array = new Float32Array(featureSize).fill(0.0);\n            const len: number = fields.length;\n            for (let i = 1; i < len; i += 2) {\n                let index: number = parseInt(fields[i]) - 1;\n                let value: number = parseFloat(fields[i + 1]);\n                x[index] = value;\n            }\n            this.dataSet.push({ label, x });\n        });\n    }\n    public static read(filePath: string, featureSize:number, callback: Function, complete: Function = null): void {\n        const options: Object = { encoding: 'utf8', highWaterMark: 256 };\n        const stream: fs.ReadStream = fs.createReadStream(filePath, options);\n        const rl: readline.ReadLine = readline.createInterface(stream, null);\n        \n        rl.on('line', (line: string) => {\n            const fields: string[] = line.split(/[\\s:]/);\n            const label: number = fields[0].charAt(0) == '+' ? +1 : -1;\n            const len: number = fields.length;\n            let x: Feature | Float32Array = null;\n            if (featureSize != null && featureSize > 0) {\n                x = new Float32Array(featureSize).fill(0.0);\n                for (let i = 1; i < len; i += 2) {\n                    let index: number = parseInt(fields[i]) - 1;\n                    let value: number = parseFloat(fields[i + 1]);\n                    x[index] = value;\n                }\n            } else {\n                x = [];\n                for (let i = 1; i < len; i += 2) {\n                    let index: number = parseInt(fields[i]) - 1;\n                    let value: number = parseFloat(fields[i + 1]);\n                    let element = { index, value };\n                    x.push(element);\n                }\n            }\n            callback(x, label);\n        });\n\n        rl.on('close', () => {\n            if (complete instanceof Function) {\n                complete();\n            }\n        });\n    }\n}\n"
  },
  {
    "path": "ml/scw/out/app.js",
    "content": "\"use strict\";\nvar scw_1 = require('./scw');\nvar data_loader_1 = require('./data_loader');\nvar featureSize = 123;\nvar eta = 1.0;\nvar C = 0.9;\nvar clf = new scw_1.SCW(featureSize, eta, C, scw_1.SCW.SCW_II);\nvar trainDataFile = 'data/a9a_train.txt';\nvar testDataFile = 'data/a9a_test.txt';\nconsole.log('synchronous batch data read training');\nvar trainData = new data_loader_1.DataLoader(trainDataFile, featureSize);\nvar testData = new data_loader_1.DataLoader(testDataFile, featureSize);\nconsole.log('load data complete.');\nconsole.log(trainData.size, testData.size);\nvar maxIter = 1;\nvar c = 0;\nvar verbose = false;\nfor (var i = 0; i < maxIter; i++) {\n    trainData.data.forEach(function (e) {\n        if (c % 100 == 0) {\n            verbose = true;\n        }\n        clf.update(e.x, e.label, verbose);\n        c++;\n        verbose = false;\n    });\n    var error = 0;\n    testData.data.forEach(function (e) {\n        var predLabel = clf.predict(e.x);\n        if (predLabel != e.label) {\n            error++;\n        }\n    });\n    console.log('iteration: ' + (i + 1) + ', error rate = ' + (error / testData.size));\n}\n//# sourceMappingURL=app.js.map"
  },
  {
    "path": "ml/scw/out/data_loader.js",
    "content": "\"use strict\";\nvar fs = require('fs');\nvar readline = require('readline');\nvar DataLoader = (function () {\n    function DataLoader(filePath, featureSize) {\n        if (featureSize === void 0) { featureSize = 0; }\n        this.filePath = filePath;\n        this.buffer = fs.readFileSync(this.filePath);\n        this.dataSet = [];\n        if (featureSize > 0) {\n            this.parsePaddingZero(featureSize);\n        }\n        else {\n            this.parse();\n        }\n    }\n    Object.defineProperty(DataLoader.prototype, \"data\", {\n        get: function () {\n            return this.dataSet;\n        },\n        enumerable: true,\n        configurable: true\n    });\n    Object.defineProperty(DataLoader.prototype, \"size\", {\n        get: function () {\n            return this.dataNum;\n        },\n        enumerable: true,\n        configurable: true\n    });\n    DataLoader.prototype.parse = function () {\n        var _this = this;\n        var lines = this.buffer.toString().split('\\n');\n        this.dataNum = lines.length - 1;\n        lines.forEach(function (line) {\n            var fields = line.split(/[\\s:]/);\n            var label = fields[0].charAt(0) == '+' ? +1 : -1;\n            var x = [];\n            var len = fields.length;\n            for (var i = 1; i < len; i += 2) {\n                var index = parseInt(fields[i]) - 1;\n                var value = parseFloat(fields[i + 1]);\n                var element = { index: index, value: value };\n                x.push(element);\n            }\n            _this.dataSet.push({ label: label, x: x });\n        });\n    };\n    DataLoader.prototype.parsePaddingZero = function (featureSize) {\n        var _this = this;\n        var lines = this.buffer.toString().split('\\n');\n        this.dataNum = lines.length - 1;\n        lines.forEach(function (line) {\n            var fields = line.split(/[\\s:]/);\n            var label = fields[0].charAt(0) == '+' ? +1 : -1;\n            var x = new Float32Array(featureSize).fill(0.0);\n            var len = fields.length;\n            for (var i = 1; i < len; i += 2) {\n                var index = parseInt(fields[i]) - 1;\n                var value = parseFloat(fields[i + 1]);\n                x[index] = value;\n            }\n            _this.dataSet.push({ label: label, x: x });\n        });\n    };\n    DataLoader.read = function (filePath, featureSize, callback, complete) {\n        if (complete === void 0) { complete = null; }\n        var options = { encoding: 'utf8', highWaterMark: 256 };\n        var stream = fs.createReadStream(filePath, options);\n        var rl = readline.createInterface(stream, null);\n        rl.on('line', function (line) {\n            var fields = line.split(/[\\s:]/);\n            var label = fields[0].charAt(0) == '+' ? +1 : -1;\n            var len = fields.length;\n            var x = null;\n            if (featureSize != null && featureSize > 0) {\n                x = new Float32Array(featureSize).fill(0.0);\n                for (var i = 1; i < len; i += 2) {\n                    var index = parseInt(fields[i]) - 1;\n                    var value = parseFloat(fields[i + 1]);\n                    x[index] = value;\n                }\n            }\n            else {\n                x = [];\n                for (var i = 1; i < len; i += 2) {\n                    var index = parseInt(fields[i]) - 1;\n                    var value = parseFloat(fields[i + 1]);\n                    var element = { index: index, value: value };\n                    x.push(element);\n                }\n            }\n            callback(x, label);\n        });\n        rl.on('close', function () {\n            if (complete instanceof Function) {\n                complete();\n            }\n        });\n    };\n    return DataLoader;\n}());\nexports.DataLoader = DataLoader;\n//# sourceMappingURL=data_loader.js.map"
  },
  {
    "path": "ml/scw/out/scw.js",
    "content": "\"use strict\";\nvar SCW = (function () {\n    function SCW(n, eta, C, type) {\n        if (type === void 0) { type = SCW.SCW_I; }\n        this.n = n;\n        this.eta = eta;\n        this.C = C;\n        this.mu = new Float32Array(n).fill(0.0);\n        this.sigma = [];\n        for (var i = 0; i < n; i++) {\n            this.sigma[i] = new Float32Array(n).fill(0.0);\n        }\n        this.phi = this.normcdf(eta);\n        for (var i = 0; i < n; i++) {\n            this.sigma[i][i] = 1.0;\n        }\n        this.type = type;\n    }\n    SCW.prototype.predict = function (x) {\n        return this.dot(x, this.mu) < 0.0 ? -1 : 1;\n    };\n    SCW.prototype.update = function (x, y, verbose) {\n        if (verbose === void 0) { verbose = false; }\n        var loss = this.loss(x, y);\n        if (verbose) {\n            console.log('loss: ' + loss.toString());\n        }\n        if (loss > 0.0) {\n            var n = this.n;\n            var vt = this.updateConfidence(x);\n            var alpha = this.calculateAlpha(x, y, vt);\n            var beta = this.calculateBeta(alpha, vt);\n            this.updateWeights(alpha, x, y);\n            this.updateCovariance(beta, x);\n        }\n    };\n    SCW.prototype.loss = function (x, y) {\n        return this.phi * Math.sqrt(this.updateConfidence(x)) - y * this.dot(x, this.mu);\n    };\n    SCW.prototype.calculateAlpha = function (x, y, vt) {\n        var nt = vt + 1.0 / (2.0 * this.C);\n        var mt = y * this.dot(x, this.mu);\n        var phi = this.phi;\n        var alpha = 0.0;\n        var tmp = 0.0;\n        switch (this.type) {\n            case SCW.SCW_I:\n                var zeta = phi * phi;\n                var psi = 1.0 + (phi * phi) / 2.0;\n                tmp = (-mt * psi + Math.sqrt(mt * mt * phi * phi * phi * phi / 4.0 + vt * phi * phi * zeta)) / (vt * zeta);\n                var max = tmp > 0.0 ? tmp : 0.0;\n                alpha = max > this.C ? this.C : max;\n                break;\n            case SCW.SCW_II:\n                var gamma = phi * Math.sqrt(phi * phi * mt * mt * vt * vt + 4.0 * nt * vt * (nt + vt * phi * phi));\n                tmp = (-(2.0 * mt * nt + phi * phi * mt * vt) + gamma) /\n                    (2.0 * (nt * nt + nt * vt * phi * phi));\n                alpha = tmp > 0.0 ? tmp : 0.0;\n                break;\n        }\n        return alpha;\n    };\n    SCW.prototype.calculateBeta = function (alpha, vt) {\n        var phi = this.phi;\n        var tmp = -alpha * vt * phi +\n            Math.sqrt(alpha * alpha * vt * vt * phi * phi + 4.0 * vt);\n        var ut = tmp * tmp / 4.0;\n        var beta = alpha * phi / (Math.sqrt(ut) + vt * alpha * phi);\n        return beta;\n    };\n    SCW.prototype.updateConfidence = function (x) {\n        var sigma = this.sigma;\n        var n = this.n;\n        var tmp = new Float32Array(n).fill(0.0);\n        for (var i = 0; i < n; i++) {\n            for (var j = 0; j < n; j++) {\n                tmp[i] += sigma[i][j] * x[j];\n            }\n        }\n        return this.dot(x, tmp);\n    };\n    SCW.prototype.updateWeights = function (alpha, x, y) {\n        var n = this.n;\n        var sigma = this.sigma;\n        var sigx = new Float32Array(n).fill(0.0);\n        for (var i = 0; i < n; i++) {\n            for (var j = 0; j < n; j++) {\n                sigx[i] += sigma[i][j] * x[j];\n            }\n        }\n        for (var k = 0; k < n; k++) {\n            this.mu[k] += alpha * y * sigx[k];\n        }\n    };\n    SCW.prototype.updateCovariance = function (beta, x) {\n        var n = this.n;\n        var xtx = [];\n        for (var a = 0; a < n; a++) {\n            xtx[a] = new Float32Array(n).fill(0.0);\n        }\n        for (var i = 0; i < n; i++) {\n            for (var j = 0; j < n; j++) {\n                xtx[i][j] = x[i] * x[j];\n            }\n        }\n        var m = this.prod(this.sigma, this.prod(xtx, this.sigma));\n        for (var i = 0; i < n; i++) {\n            for (var j = 0; j < n; j++) {\n                this.sigma[i][j] -= beta * m[i][j];\n            }\n        }\n    };\n    SCW.prototype.normcdf = function (x) {\n        var z = x / Math.sqrt(2.0);\n        var ret = 0.0;\n        var N = 60;\n        for (var n = 0; n <= N; n++) {\n            var tmp = 1.0;\n            for (var k = 1; k <= n; k++) {\n                tmp *= -1.0 * z * z / k;\n            }\n            ret += z / (2.0 * n + 1.0) * tmp;\n        }\n        return 1.0 / (0.5 * (1.0 + (2.0 / Math.sqrt(Math.PI) * ret)));\n    };\n    SCW.prototype.dot = function (x, y) {\n        var ret = 0.0;\n        var n = this.n;\n        for (var i = 0; i < n; i++) {\n            ret += x[i] * y[i];\n        }\n        return ret;\n    };\n    SCW.prototype.prod = function (m1, m2) {\n        var ret = [];\n        var n = this.n;\n        for (var a = 0; a < n; a++) {\n            ret[a] = new Float32Array(n).fill(0.0);\n        }\n        for (var i = 0; i < n; i++) {\n            for (var j = 0; j < n; j++) {\n                for (var k = 0; k < n; k++) {\n                    ret[i][j] += m1[i][k] * m2[k][j];\n                }\n            }\n        }\n        return ret;\n    };\n    SCW.SCW_I = 'scw_i';\n    SCW.SCW_II = 'scw_ii';\n    return SCW;\n}());\nexports.SCW = SCW;\n//# sourceMappingURL=scw.js.map"
  },
  {
    "path": "ml/scw/out/types.js",
    "content": "\"use strict\";\n//# sourceMappingURL=types.js.map"
  },
  {
    "path": "ml/scw/scw.ts",
    "content": "/**\n * SCW (Soft Confidence Weighted Learning) class\n */\nexport class SCW {\n    public static SCW_I = 'scw_i';\n    public static SCW_II = 'scw_ii';\n    private n: number;\n    private eta: number;\n    private C: number;\n    private phi: number;\n    private mu: Float32Array;\n    private sigma: Float32Array[];\n    private type: string;\n\n    constructor(n: number, eta:number, C:number, type: string = SCW.SCW_I) {\n        this.n = n;\n        this.eta = eta;\n        this.C = C;\n        this.mu = new Float32Array(n).fill(0.0);\n        this.sigma = [];\n        for (let i = 0; i < n; i++) {\n            this.sigma[i] = new Float32Array(n).fill(0.0);\n        }\n        this.phi = this.normcdf(eta);\n        for (let i = 0; i < n; i++) {\n            this.sigma[i][i] = 1.0;\n        }\n        this.type = type;\n    }\n\n    public predict(x: Float32Array): number {\n        return this.dot(x, this.mu) < 0.0 ? -1 : 1;\n    }\n\n    public update(x: Float32Array, y: number, verbose: boolean = false) {\n        let loss: number = this.loss(x, y);\n        if (verbose) {\n            console.log('loss: ' + loss.toString());\n        }\n        if (loss > 0.0) {\n            let n: number = this.n;\n            let vt: number = this.updateConfidence(x);\n            let alpha: number = this.calculateAlpha(x, y, vt);\n            let beta: number = this.calculateBeta(alpha, vt);\n            this.updateWeights(alpha, x, y);\n            this.updateCovariance(beta, x);\n        }\n    }\n\n    public loss(x: Float32Array, y: number): number {\n        return this.phi * Math.sqrt(this.updateConfidence(x)) - y * this.dot(x, this.mu);\n    }\n\n    private calculateAlpha(x: Float32Array, y: number, vt: number): number {\n        let nt: number = vt + 1.0 / (2.0 * this.C);\n        let mt: number = y * this.dot(x, this.mu);\n        let phi: number = this.phi;\n        let alpha: number = 0.0;\n        let tmp: number = 0.0;\n        switch (this.type) {\n            case SCW.SCW_I:\n                let zeta: number = phi * phi;\n                let psi: number = 1.0 + (phi * phi) / 2.0;\n                tmp = (-mt * psi + Math.sqrt(mt * mt * phi * phi * phi * phi / 4.0 + vt * phi * phi * zeta)) / (vt * zeta);\n                let max: number = tmp > 0.0 ? tmp : 0.0;\n                alpha = max > this.C ? this.C : max; \n                break;\n            case SCW.SCW_II:\n                let gamma: number = phi * Math.sqrt(phi * phi * mt * mt * vt * vt + 4.0 * nt * vt * (nt + vt * phi * phi));\n                tmp = (-(2.0 * mt * nt + phi * phi * mt * vt) + gamma) /\n                    (2.0 * (nt * nt + nt * vt * phi * phi));\n                alpha = tmp > 0.0 ? tmp : 0.0;\n                break;\n        }\n        return alpha;\n    } \n\n    private calculateBeta(alpha: number, vt: number): number {\n        let phi: number = this.phi;\n        let tmp: number = -alpha * vt * phi +\n            Math.sqrt(alpha * alpha * vt * vt * phi * phi + 4.0 * vt);\n        let ut: number = tmp * tmp / 4.0;\n        let beta: number = alpha * phi / (Math.sqrt(ut) + vt * alpha * phi);\n        return beta;\n    }\n\n    private updateConfidence(x: Float32Array): number { // vt\n        let sigma: Float32Array[] = this.sigma;\n        let n: number = this.n;\n        let tmp: Float32Array = new Float32Array(n).fill(0.0);\n        for (let i = 0; i < n; i++) {\n            for (let j = 0; j < n; j++){\n                tmp[i] += sigma[i][j] * x[j];\n            }\n        }\n        return this.dot(x, tmp);\n    }\n\n    private updateWeights(alpha: number, x: Float32Array, y: number): void {\n        let n: number = this.n;\n        let sigma: Float32Array[] = this.sigma;\n        let sigx: Float32Array = new Float32Array(n).fill(0.0);\n        for (let i = 0; i < n; i++) {\n            for (let j = 0; j < n; j++) {\n                sigx[i] += sigma[i][j] * x[j];\n            }\n        }\n        for (let k = 0; k < n; k++) {\n            this.mu[k] += alpha * y * sigx[k];\n        }\n    }\n\n    private updateCovariance(beta: number, x: Float32Array): void {\n        let n: number = this.n;\n        let xtx: Float32Array[] = [];\n        for (let a = 0; a < n; a++) {\n            xtx[a] = new Float32Array(n).fill(0.0);\n        }\n        for (let i = 0; i < n; i++) {\n            for (let j = 0; j < n; j++) {\n                xtx[i][j] = x[i] * x[j];\n            }\n        }\n        let m: Float32Array[] = this.prod(this.sigma, this.prod(xtx, this.sigma));\n        for (let i = 0; i < n; i++) {\n            for (let j = 0; j < n; j++) {\n                this.sigma[i][j] -= beta * m[i][j];\n            }\n        }\n    }\n\n    private normcdf(x: number): number {\n        let z: number = x / Math.sqrt(2.0);\n        let ret: number = 0.0;\n        let N: number = 60;\n        for (let n = 0; n <= N; n++) {\n            let tmp: number = 1.0;\n            for (let k = 1; k <= n; k++) {\n                tmp *= -1.0 * z * z / k;\n            }\n            ret += z / (2.0 * n + 1.0) * tmp;\n        }\n        return 1.0 / (0.5 * (1.0 + (2.0 / Math.sqrt(Math.PI) * ret)));\n    }\n\n\n    private dot(x: Float32Array, y: Float32Array): number {\n        let ret: number = 0.0;\n        let n: number = this.n;\n        for (let i = 0; i < n; i++) {\n            ret += x[i] * y[i];\n        }\n        return ret;\n    }\n\n    private prod(m1: Float32Array[], m2: Float32Array[]): Float32Array[] {\n        let ret: Float32Array[] = [];\n        let n: number = this.n;\n        for (let a = 0; a < n; a++) {\n            ret[a] = new Float32Array(n).fill(0.0);\n        }\n        for (let i = 0; i < n; i++) {\n            for (let j = 0; j < n; j++) {\n                for (let k = 0; k < n; k++) {\n                    ret[i][j] += m1[i][k] * m2[k][j];\n                }\n            }\n        }\n        return ret;\n    }\n}"
  },
  {
    "path": "ml/scw/types.ts",
    "content": "/**\n * Shared types across multiple machine learning components.\n */\nexport type Feature = { index: number, value: number }[];\nexport type DataSet = { label: number, x: Feature | Float32Array }[];"
  },
  {
    "path": "ml/t-sne/.babelrc",
    "content": "{\n    \"presets\": [\n        [\n            \"@babel/preset-env\",\n            {\n                \"useBuiltIns\": \"usage\",\n                \"corejs\": 3\n            }\n        ]\n    ]\n}"
  },
  {
    "path": "ml/t-sne/.eslintrc.json",
    "content": "{\n    \"extends\": [\"eslint:recommended\"],\n    \"plugins\": [],\n    \"parserOptions\": {\n        \"sourceType\": \"module\",\n        \"ecmaVersion\": 2020\n    },\n    \"env\": {\n        \"browser\": false,\n        \"node\": true,\n        \"es6\": true\n    },\n    \"globals\": {},\n    \"rules\": {\n        \"semi\": [\"error\", \"always\"],\n        \"linebreak-style\": [\"error\", \"unix\"],\n        \"no-unused-vars\": \"warn\"\n    }\n}"
  },
  {
    "path": "ml/t-sne/.gitignore",
    "content": "__tsne.js\r\n"
  },
  {
    "path": "ml/t-sne/README.md",
    "content": "# t-SNE Module\n\n## description\n[t-SNE](https://en.wikipedia.org/wiki/T-distributed_stochastic_neighbor_embedding) (t-Distributed Stochastic Neighbor Embedding) implementation\n\n## usage in JavaScript (ES2017)\n```js\nimport tSNE from './tsne';\nimport { digits } from './digits_data';  // digits dataset\n\nconst params = { perplexity: 30, eta: 100, alpha: 0.5 };  // parameters\nconst tsne = new tSNE(digits.data, params);\nconst maxIter = 1000;  // max iteration\n\n// 1. Promise version\ntsne.compute(maxIter).then(result => {\n    console.log(result);  // result: Float64Array[]\n});\n\n// 2. async/await\nconst result = await tsne.compute(maxIter);\n\n// 3. generator version\nconst it = tsne.iterator(maxIter);\nlet step = it.next();  // step down gradient\nwhile(!step.done) {\n    console.log(step.value);\n    step = it.next();\n}\n```\n\nrun sample code (see also src/index.js)\n```\n$ yarn install\n$ yarn start\n```\n\n## demo tool\n* [t-SNE projection visualizer](https://rest-term.com/labs/html5/tsne/)  \n[![tsne_projection_visualizer](https://github.com/wellflat/imageprocessing-labs/blob/main/images/tsne.png?raw=true)](https://rest-term.com/labs/html5/tsne/)\n* [vue-chart-sample](https://github.com/wellflat/vue-chart-sample)\n"
  },
  {
    "path": "ml/t-sne/package.json",
    "content": "{\n  \"name\": \"t-sne\",\n  \"version\": \"1.0.0\",\n  \"description\": \"t-SNE JavaScript implementation\",\n  \"main\": \"dst\",\n  \"scripts\": {\n    \"build\": \"babel src -d dst -s -D\",\n    \"prestart\": \"yarn build\",\n    \"start\": \"node dst\",\n    \"test\": \"echo \\\"Error: no test specified\\\" && exit 1\"\n  },\n  \"repository\": {\n    \"type\": \"git\",\n    \"url\": \"https://github.com/wellflat/imageprocessing-labs\"\n  },\n  \"author\": \"wellflat\",\n  \"license\": \"MIT\",\n  \"keywords\": [\n    \"machine-learning\"\n  ],\n  \"devDependencies\": {\n    \"@babel/cli\": \"^7.8.4\",\n    \"@babel/core\": \"^7.8.4\",\n    \"@babel/node\": \"^7.8.4\",\n    \"@babel/preset-env\": \"^7.8.4\",\n    \"core-js\": \"3\",\n    \"eslint\": \"^6.8.0\"\n  }\n}\n"
  },
  {
    "path": "ml/t-sne/src/digits_data.js",
    "content": "/* Digits Data Set\n *   http://scikit-learn.org/stable/auto_examples/datasets/plot_digits_last_image.html\n *   classes: 10\n *   samples total: 1797 ( ~ 180 samples per class)\n *   dimensionality: 64\n *   features: integer 0 - 16\n *   {data: number[][], target: number[]}\n */\nexport const digits = {data: [[0.0, 0.0, 5.0, 13.0, 9.0, 1.0, 0.0, 0.0, 0.0, 0.0, 13.0, 15.0, 10.0, 15.0, 5.0, 0.0, 0.0, 3.0, 15.0, 2.0, 0.0, 11.0, 8.0, 0.0, 0.0, 4.0, 12.0, 0.0, 0.0, 8.0, 8.0, 0.0, 0.0, 5.0, 8.0, 0.0, 0.0, 9.0, 8.0, 0.0, 0.0, 4.0, 11.0, 0.0, 1.0, 12.0, 7.0, 0.0, 0.0, 2.0, 14.0, 5.0, 10.0, 12.0, 0.0, 0.0, 0.0, 0.0, 6.0, 13.0, 10.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 12.0, 13.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 3.0, 15.0, 16.0, 6.0, 0.0, 0.0, 0.0, 7.0, 15.0, 16.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 10.0, 0.0, 0.0], [0.0, 0.0, 0.0, 4.0, 15.0, 12.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 15.0, 14.0, 0.0, 0.0, 0.0, 0.0, 8.0, 13.0, 8.0, 16.0, 0.0, 0.0, 0.0, 0.0, 1.0, 6.0, 15.0, 11.0, 0.0, 0.0, 0.0, 1.0, 8.0, 13.0, 15.0, 1.0, 0.0, 0.0, 0.0, 9.0, 16.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 3.0, 13.0, 16.0, 16.0, 11.0, 5.0, 0.0, 0.0, 0.0, 0.0, 3.0, 11.0, 16.0, 9.0, 0.0], [0.0, 0.0, 7.0, 15.0, 13.0, 1.0, 0.0, 0.0, 0.0, 8.0, 13.0, 6.0, 15.0, 4.0, 0.0, 0.0, 0.0, 2.0, 1.0, 13.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 15.0, 11.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 12.0, 12.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 10.0, 8.0, 0.0, 0.0, 0.0, 8.0, 4.0, 5.0, 14.0, 9.0, 0.0, 0.0, 0.0, 7.0, 13.0, 13.0, 9.0, 0.0, 0.0], [0.0, 0.0, 0.0, 1.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 13.0, 6.0, 2.0, 2.0, 0.0, 0.0, 0.0, 7.0, 15.0, 0.0, 9.0, 8.0, 0.0, 0.0, 5.0, 16.0, 10.0, 0.0, 16.0, 6.0, 0.0, 0.0, 4.0, 15.0, 16.0, 13.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 3.0, 15.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 4.0, 0.0, 0.0], [0.0, 0.0, 12.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 16.0, 16.0, 14.0, 0.0, 0.0, 0.0, 0.0, 13.0, 16.0, 15.0, 10.0, 1.0, 0.0, 0.0, 0.0, 11.0, 16.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 7.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 9.0, 0.0, 0.0, 0.0, 5.0, 4.0, 12.0, 16.0, 4.0, 0.0, 0.0, 0.0, 9.0, 16.0, 16.0, 10.0, 0.0, 0.0], [0.0, 0.0, 0.0, 12.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 12.0, 7.0, 2.0, 0.0, 0.0, 0.0, 0.0, 13.0, 16.0, 13.0, 16.0, 3.0, 0.0, 0.0, 0.0, 7.0, 16.0, 11.0, 15.0, 8.0, 0.0, 0.0, 0.0, 1.0, 9.0, 15.0, 11.0, 3.0, 0.0], [0.0, 0.0, 7.0, 8.0, 13.0, 16.0, 15.0, 1.0, 0.0, 0.0, 7.0, 7.0, 4.0, 11.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 13.0, 1.0, 0.0, 0.0, 4.0, 8.0, 8.0, 15.0, 15.0, 6.0, 0.0, 0.0, 2.0, 11.0, 15.0, 15.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 5.0, 0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 9.0, 14.0, 8.0, 1.0, 0.0, 0.0, 0.0, 0.0, 12.0, 14.0, 14.0, 12.0, 0.0, 0.0, 0.0, 0.0, 9.0, 10.0, 0.0, 15.0, 4.0, 0.0, 0.0, 0.0, 3.0, 16.0, 12.0, 14.0, 2.0, 0.0, 0.0, 0.0, 4.0, 16.0, 16.0, 2.0, 0.0, 0.0, 0.0, 3.0, 16.0, 8.0, 10.0, 13.0, 2.0, 0.0, 0.0, 1.0, 15.0, 1.0, 3.0, 16.0, 8.0, 0.0, 0.0, 0.0, 11.0, 16.0, 15.0, 11.0, 1.0, 0.0], [0.0, 0.0, 11.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 16.0, 16.0, 13.0, 0.0, 0.0, 0.0, 3.0, 16.0, 12.0, 10.0, 14.0, 0.0, 0.0, 0.0, 1.0, 16.0, 1.0, 12.0, 15.0, 0.0, 0.0, 0.0, 0.0, 13.0, 16.0, 9.0, 15.0, 2.0, 0.0, 0.0, 0.0, 0.0, 3.0, 0.0, 9.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 15.0, 4.0, 0.0, 0.0, 0.0, 9.0, 12.0, 13.0, 3.0, 0.0, 0.0], [0.0, 0.0, 1.0, 9.0, 15.0, 11.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 8.0, 14.0, 6.0, 0.0, 0.0, 2.0, 16.0, 10.0, 0.0, 9.0, 9.0, 0.0, 0.0, 1.0, 16.0, 4.0, 0.0, 8.0, 8.0, 0.0, 0.0, 4.0, 16.0, 4.0, 0.0, 8.0, 8.0, 0.0, 0.0, 1.0, 16.0, 5.0, 1.0, 11.0, 3.0, 0.0, 0.0, 0.0, 12.0, 12.0, 10.0, 10.0, 0.0, 0.0, 0.0, 0.0, 1.0, 10.0, 13.0, 3.0, 0.0, 0.0], [0.0, 0.0, 0.0, 0.0, 14.0, 13.0, 1.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 14.0, 16.0, 12.0, 0.0, 0.0, 0.0, 1.0, 10.0, 16.0, 16.0, 12.0, 0.0, 0.0, 0.0, 3.0, 12.0, 14.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 13.0, 16.0, 1.0, 0.0], [0.0, 0.0, 5.0, 12.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 14.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 1.0, 12.0, 0.0, 0.0, 0.0, 0.0, 2.0, 10.0, 0.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 0.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 15.0, 9.0, 8.0, 2.0, 0.0, 0.0, 3.0, 11.0, 8.0, 13.0, 12.0, 4.0], [0.0, 2.0, 9.0, 15.0, 14.0, 9.0, 3.0, 0.0, 0.0, 4.0, 13.0, 8.0, 9.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 6.0, 14.0, 15.0, 3.0, 0.0, 0.0, 0.0, 0.0, 11.0, 14.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 15.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 15.0, 4.0, 0.0, 0.0, 1.0, 5.0, 6.0, 13.0, 16.0, 6.0, 0.0, 0.0, 2.0, 12.0, 12.0, 13.0, 11.0, 0.0, 0.0], [0.0, 0.0, 0.0, 8.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0, 1.0, 14.0, 13.0, 1.0, 1.0, 0.0, 0.0, 0.0, 10.0, 15.0, 3.0, 15.0, 11.0, 0.0, 0.0, 7.0, 16.0, 7.0, 1.0, 16.0, 8.0, 0.0, 0.0, 9.0, 16.0, 13.0, 14.0, 16.0, 5.0, 0.0, 0.0, 1.0, 10.0, 15.0, 16.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 15.0, 4.0, 0.0, 0.0], [0.0, 5.0, 12.0, 13.0, 16.0, 16.0, 2.0, 0.0, 0.0, 11.0, 16.0, 15.0, 8.0, 4.0, 0.0, 0.0, 0.0, 8.0, 14.0, 11.0, 1.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 16.0, 14.0, 0.0, 0.0, 0.0, 0.0, 1.0, 6.0, 6.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 3.0, 0.0, 0.0, 0.0, 1.0, 5.0, 15.0, 13.0, 0.0, 0.0, 0.0, 0.0, 4.0, 15.0, 16.0, 2.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 8.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 16.0, 13.0, 5.0, 0.0, 0.0, 0.0, 15.0, 16.0, 9.0, 9.0, 14.0, 0.0, 0.0, 0.0, 3.0, 14.0, 9.0, 2.0, 16.0, 2.0, 0.0, 0.0, 0.0, 7.0, 15.0, 16.0, 11.0, 0.0], [0.0, 0.0, 1.0, 8.0, 15.0, 10.0, 0.0, 0.0, 0.0, 3.0, 13.0, 15.0, 14.0, 14.0, 0.0, 0.0, 0.0, 5.0, 10.0, 0.0, 10.0, 12.0, 0.0, 0.0, 0.0, 0.0, 3.0, 5.0, 15.0, 10.0, 2.0, 0.0, 0.0, 0.0, 16.0, 16.0, 16.0, 16.0, 12.0, 0.0, 0.0, 1.0, 8.0, 12.0, 14.0, 8.0, 3.0, 0.0, 0.0, 0.0, 0.0, 10.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 9.0, 0.0, 0.0, 0.0], [0.0, 0.0, 10.0, 7.0, 13.0, 9.0, 0.0, 0.0, 0.0, 0.0, 9.0, 10.0, 12.0, 15.0, 2.0, 0.0, 0.0, 0.0, 4.0, 11.0, 10.0, 11.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 10.0, 1.0, 0.0, 0.0, 0.0, 0.0, 12.0, 13.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 1.0, 12.0, 0.0, 0.0, 0.0, 0.0, 1.0, 10.0, 2.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 14.0, 5.0, 0.0, 0.0, 0.0], [0.0, 0.0, 6.0, 14.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 14.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 1.0, 12.0, 12.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 11.0, 0.0, 0.0, 0.0, 1.0, 4.0, 4.0, 7.0, 16.0, 2.0, 0.0, 0.0, 7.0, 16.0, 16.0, 13.0, 11.0, 1.0], [0.0, 0.0, 3.0, 13.0, 11.0, 7.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 16.0, 16.0, 2.0, 0.0, 0.0, 4.0, 16.0, 9.0, 1.0, 14.0, 2.0, 0.0, 0.0, 4.0, 16.0, 0.0, 0.0, 16.0, 2.0, 0.0, 0.0, 0.0, 16.0, 1.0, 0.0, 12.0, 8.0, 0.0, 0.0, 0.0, 15.0, 9.0, 0.0, 13.0, 6.0, 0.0, 0.0, 0.0, 9.0, 14.0, 9.0, 14.0, 1.0, 0.0, 0.0, 0.0, 2.0, 12.0, 13.0, 4.0, 0.0, 0.0], [0.0, 0.0, 0.0, 2.0, 16.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 16.0, 2.0, 0.0, 0.0, 1.0, 4.0, 12.0, 16.0, 12.0, 0.0, 0.0, 0.0, 7.0, 16.0, 16.0, 16.0, 12.0, 0.0, 0.0, 0.0, 0.0, 3.0, 10.0, 16.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 2.0, 12.0, 15.0, 4.0, 0.0], [0.0, 0.0, 8.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 1.0, 13.0, 11.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 0.0, 13.0, 3.0, 0.0, 0.0, 0.0, 0.0, 3.0, 1.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 15.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 15.0, 8.0, 8.0, 3.0, 0.0, 0.0, 0.0, 7.0, 12.0, 12.0, 12.0, 13.0, 1.0], [0.0, 1.0, 8.0, 12.0, 15.0, 14.0, 4.0, 0.0, 0.0, 3.0, 11.0, 8.0, 8.0, 12.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 13.0, 7.0, 0.0, 0.0, 0.0, 0.0, 2.0, 15.0, 12.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 13.0, 0.0, 0.0, 0.0, 0.0, 7.0, 8.0, 14.0, 15.0, 0.0, 0.0, 0.0, 0.0, 14.0, 15.0, 11.0, 2.0, 0.0, 0.0], [0.0, 0.0, 0.0, 0.0, 12.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 14.0, 1.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 7.0, 8.0, 0.0, 0.0, 0.0, 0.0, 13.0, 9.0, 0.0, 16.0, 6.0, 0.0, 0.0, 6.0, 16.0, 10.0, 11.0, 16.0, 0.0, 0.0, 0.0, 0.0, 5.0, 10.0, 13.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 8.0, 0.0, 0.0], [0.0, 0.0, 12.0, 8.0, 8.0, 7.0, 0.0, 0.0, 0.0, 3.0, 16.0, 16.0, 11.0, 7.0, 0.0, 0.0, 0.0, 2.0, 14.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 14.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 15.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 4.0, 8.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 11.0, 14.0, 9.0, 0.0, 0.0, 0.0], [0.0, 0.0, 1.0, 13.0, 14.0, 3.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 13.0, 2.0, 0.0, 0.0, 0.0, 2.0, 16.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 12.0, 1.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 14.0, 5.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 16.0, 16.0, 16.0, 6.0, 0.0, 0.0, 1.0, 14.0, 16.0, 16.0, 16.0, 12.0, 0.0, 0.0, 0.0, 3.0, 12.0, 15.0, 14.0, 7.0, 0.0], [0.0, 0.0, 0.0, 8.0, 14.0, 14.0, 2.0, 0.0, 0.0, 0.0, 0.0, 6.0, 10.0, 15.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 10.0, 0.0, 0.0, 2.0, 8.0, 11.0, 12.0, 16.0, 8.0, 0.0, 0.0, 8.0, 16.0, 16.0, 16.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 13.0, 1.0, 0.0, 0.0], [0.0, 0.0, 10.0, 11.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 15.0, 13.0, 13.0, 1.0, 0.0, 0.0, 0.0, 8.0, 11.0, 0.0, 14.0, 4.0, 0.0, 0.0, 0.0, 0.0, 13.0, 15.0, 13.0, 0.0, 0.0, 0.0, 1.0, 11.0, 16.0, 16.0, 0.0, 0.0, 0.0, 0.0, 1.0, 15.0, 3.0, 9.0, 10.0, 0.0, 0.0, 0.0, 0.0, 14.0, 6.0, 15.0, 10.0, 0.0, 0.0, 0.0, 0.0, 8.0, 14.0, 7.0, 1.0, 0.0, 0.0], [0.0, 0.0, 9.0, 13.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 16.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 12.0, 13.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 16.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 10.0, 0.0, 0.0, 0.0, 3.0, 7.0, 12.0, 14.0, 16.0, 2.0, 0.0, 0.0, 7.0, 12.0, 12.0, 12.0, 11.0, 0.0], [0.0, 0.0, 10.0, 14.0, 11.0, 3.0, 0.0, 0.0, 0.0, 4.0, 16.0, 13.0, 6.0, 14.0, 1.0, 0.0, 0.0, 4.0, 16.0, 2.0, 0.0, 11.0, 7.0, 0.0, 0.0, 8.0, 16.0, 0.0, 0.0, 10.0, 5.0, 0.0, 0.0, 8.0, 16.0, 0.0, 0.0, 14.0, 4.0, 0.0, 0.0, 8.0, 16.0, 0.0, 1.0, 16.0, 1.0, 0.0, 0.0, 4.0, 16.0, 1.0, 11.0, 15.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 12.0, 3.0, 0.0, 0.0], [0.0, 0.0, 2.0, 13.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 5.0, 15.0, 13.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 11.0, 0.0, 0.0, 0.0, 0.0, 3.0, 4.0, 4.0, 16.0, 2.0, 0.0, 0.0, 2.0, 15.0, 13.0, 14.0, 13.0, 2.0], [0.0, 2.0, 13.0, 16.0, 16.0, 16.0, 11.0, 0.0, 0.0, 5.0, 16.0, 10.0, 5.0, 4.0, 1.0, 0.0, 0.0, 6.0, 16.0, 7.0, 3.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 16.0, 16.0, 6.0, 0.0, 0.0, 0.0, 3.0, 8.0, 4.0, 11.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 12.0, 15.0, 0.0, 0.0, 0.0, 0.0, 4.0, 13.0, 16.0, 6.0, 0.0, 0.0, 0.0, 2.0, 16.0, 15.0, 8.0, 0.0, 0.0, 0.0], [0.0, 6.0, 13.0, 5.0, 8.0, 8.0, 1.0, 0.0, 0.0, 8.0, 16.0, 16.0, 16.0, 16.0, 6.0, 0.0, 0.0, 6.0, 16.0, 9.0, 6.0, 4.0, 0.0, 0.0, 0.0, 6.0, 16.0, 16.0, 15.0, 5.0, 0.0, 0.0, 0.0, 0.0, 4.0, 5.0, 15.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 9.0, 0.0, 0.0, 0.0, 1.0, 8.0, 13.0, 15.0, 3.0, 0.0, 0.0, 0.0, 4.0, 16.0, 15.0, 3.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 5.0, 14.0, 2.0, 0.0, 0.0, 0.0, 0.0, 1.0, 13.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 15.0, 5.0, 0.0, 0.0, 0.0, 0.0, 1.0, 15.0, 16.0, 15.0, 11.0, 1.0, 0.0, 0.0, 2.0, 13.0, 14.0, 1.0, 12.0, 9.0, 0.0, 0.0, 0.0, 4.0, 16.0, 7.0, 13.0, 9.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 15.0, 3.0, 0.0], [0.0, 3.0, 15.0, 8.0, 8.0, 6.0, 0.0, 0.0, 0.0, 4.0, 16.0, 16.0, 16.0, 13.0, 2.0, 0.0, 0.0, 3.0, 16.0, 9.0, 2.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 16.0, 15.0, 3.0, 0.0, 0.0, 0.0, 0.0, 7.0, 6.0, 12.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 14.0, 10.0, 0.0, 0.0, 0.0, 0.0, 5.0, 14.0, 15.0, 2.0, 0.0, 0.0, 0.0, 1.0, 15.0, 14.0, 1.0, 0.0, 0.0, 0.0], [0.0, 0.0, 6.0, 14.0, 10.0, 2.0, 0.0, 0.0, 0.0, 0.0, 15.0, 15.0, 13.0, 15.0, 3.0, 0.0, 0.0, 2.0, 16.0, 10.0, 0.0, 13.0, 9.0, 0.0, 0.0, 1.0, 16.0, 5.0, 0.0, 12.0, 5.0, 0.0, 0.0, 0.0, 16.0, 3.0, 0.0, 13.0, 6.0, 0.0, 0.0, 1.0, 15.0, 5.0, 6.0, 13.0, 1.0, 0.0, 0.0, 0.0, 16.0, 11.0, 14.0, 10.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 11.0, 1.0, 0.0, 0.0], [0.0, 0.0, 13.0, 10.0, 1.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 14.0, 7.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 8.0, 14.0, 0.0, 0.0, 0.0, 0.0, 2.0, 14.0, 16.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 1.0, 4.0, 9.0, 13.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 6.0, 0.0, 0.0, 0.0, 5.0, 8.0, 5.0, 9.0, 14.0, 0.0, 0.0, 0.0, 13.0, 13.0, 15.0, 16.0, 13.0, 0.0], [0.0, 0.0, 7.0, 7.0, 13.0, 16.0, 4.0, 0.0, 0.0, 0.0, 13.0, 13.0, 6.0, 12.0, 7.0, 0.0, 0.0, 0.0, 10.0, 4.0, 10.0, 11.0, 1.0, 0.0, 0.0, 0.0, 8.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 3.0, 14.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 8.0, 11.0, 5.0, 0.0, 0.0, 0.0, 0.0, 4.0, 10.0, 9.0, 8.0, 0.0, 0.0, 0.0, 0.0, 1.0, 11.0, 16.0, 6.0, 0.0, 0.0, 0.0], [0.0, 1.0, 9.0, 16.0, 13.0, 7.0, 0.0, 0.0, 0.0, 7.0, 14.0, 4.0, 10.0, 12.0, 0.0, 0.0, 0.0, 6.0, 15.0, 9.0, 16.0, 11.0, 0.0, 0.0, 0.0, 0.0, 9.0, 11.0, 7.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 6.0, 0.0, 0.0, 3.0, 13.0, 8.0, 5.0, 14.0, 5.0, 0.0, 0.0, 0.0, 9.0, 14.0, 13.0, 10.0, 1.0, 0.0], [0.0, 0.0, 11.0, 10.0, 12.0, 4.0, 0.0, 0.0, 0.0, 0.0, 12.0, 13.0, 9.0, 16.0, 1.0, 0.0, 0.0, 0.0, 7.0, 13.0, 11.0, 16.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 14.0, 4.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 7.0, 12.0, 7.0, 0.0, 0.0, 0.0, 4.0, 14.0, 4.0, 12.0, 13.0, 0.0, 0.0, 0.0, 1.0, 11.0, 14.0, 12.0, 4.0, 0.0, 0.0], [0.0, 0.0, 0.0, 9.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 14.0, 2.0, 11.0, 3.0, 0.0, 0.0, 4.0, 16.0, 9.0, 4.0, 16.0, 10.0, 0.0, 0.0, 9.0, 16.0, 11.0, 13.0, 16.0, 2.0, 0.0, 0.0, 0.0, 9.0, 16.0, 16.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 2.0, 0.0, 0.0], [0.0, 0.0, 0.0, 0.0, 12.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 12.0, 0.0, 0.0, 0.0, 0.0, 1.0, 12.0, 16.0, 11.0, 0.0, 0.0, 0.0, 2.0, 12.0, 16.0, 16.0, 10.0, 0.0, 0.0, 0.0, 6.0, 11.0, 5.0, 15.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 8.0, 0.0, 0.0], [0.0, 0.0, 0.0, 9.0, 15.0, 12.0, 0.0, 0.0, 0.0, 0.0, 4.0, 7.0, 7.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 3.0, 0.0, 0.0, 4.0, 9.0, 8.0, 10.0, 13.0, 1.0, 0.0, 0.0, 4.0, 16.0, 15.0, 16.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 7.0, 0.0, 0.0, 0.0], [0.0, 0.0, 9.0, 16.0, 16.0, 16.0, 5.0, 0.0, 0.0, 1.0, 14.0, 10.0, 8.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 3.0, 0.0, 0.0, 3.0, 8.0, 11.0, 15.0, 16.0, 11.0, 0.0, 0.0, 8.0, 16.0, 16.0, 15.0, 11.0, 3.0, 0.0, 0.0, 0.0, 2.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 10.0, 0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 9.0, 16.0, 13.0, 6.0, 0.0, 0.0, 0.0, 0.0, 6.0, 5.0, 16.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 15.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 14.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 15.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 12.0, 0.0, 0.0, 0.0, 4.0, 8.0, 11.0, 15.0, 12.0, 0.0, 0.0, 0.0, 11.0, 14.0, 12.0, 8.0, 0.0, 0.0], [0.0, 1.0, 15.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 16.0, 16.0, 14.0, 2.0, 0.0, 0.0, 6.0, 16.0, 11.0, 8.0, 8.0, 3.0, 0.0, 0.0, 5.0, 16.0, 11.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 14.0, 14.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 14.0, 14.0, 4.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 1.0, 11.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 13.0, 0.0, 0.0, 0.0, 0.0, 4.0, 14.0, 16.0, 9.0, 0.0, 0.0, 0.0, 10.0, 16.0, 11.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 14.0, 6.0, 0.0, 0.0], [0.0, 0.0, 2.0, 15.0, 13.0, 3.0, 0.0, 0.0, 0.0, 0.0, 10.0, 15.0, 11.0, 15.0, 0.0, 0.0, 0.0, 3.0, 16.0, 6.0, 0.0, 10.0, 0.0, 0.0, 0.0, 4.0, 16.0, 8.0, 0.0, 3.0, 8.0, 0.0, 0.0, 8.0, 14.0, 3.0, 0.0, 4.0, 8.0, 0.0, 0.0, 3.0, 15.0, 1.0, 0.0, 3.0, 7.0, 0.0, 0.0, 0.0, 14.0, 11.0, 6.0, 14.0, 5.0, 0.0, 0.0, 0.0, 4.0, 12.0, 15.0, 6.0, 0.0, 0.0], [0.0, 0.0, 1.0, 15.0, 13.0, 1.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 14.0, 8.0, 0.0, 0.0, 0.0, 8.0, 12.0, 9.0, 2.0, 13.0, 2.0, 0.0, 0.0, 7.0, 9.0, 1.0, 0.0, 6.0, 6.0, 0.0, 0.0, 5.0, 9.0, 0.0, 0.0, 3.0, 9.0, 0.0, 0.0, 0.0, 15.0, 2.0, 0.0, 8.0, 12.0, 0.0, 0.0, 0.0, 9.0, 15.0, 13.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 13.0, 14.0, 8.0, 0.0, 0.0], [0.0, 0.0, 0.0, 5.0, 14.0, 12.0, 2.0, 0.0, 0.0, 0.0, 7.0, 15.0, 8.0, 14.0, 4.0, 0.0, 0.0, 0.0, 6.0, 2.0, 3.0, 13.0, 1.0, 0.0, 0.0, 0.0, 0.0, 1.0, 13.0, 4.0, 0.0, 0.0, 0.0, 0.0, 1.0, 11.0, 9.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 14.0, 16.0, 11.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 12.0, 13.0, 3.0, 0.0], [0.0, 0.0, 0.0, 3.0, 15.0, 10.0, 1.0, 0.0, 0.0, 0.0, 0.0, 11.0, 10.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 12.0, 1.0, 15.0, 6.0, 0.0, 0.0, 0.0, 0.0, 3.0, 4.0, 15.0, 4.0, 0.0, 0.0, 0.0, 0.0, 6.0, 15.0, 6.0, 0.0, 0.0, 0.0, 4.0, 15.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 16.0, 15.0, 9.0, 3.0, 0.0, 0.0, 0.0, 0.0, 4.0, 9.0, 14.0, 7.0, 0.0], [0.0, 0.0, 3.0, 12.0, 16.0, 16.0, 6.0, 0.0, 0.0, 0.0, 10.0, 11.0, 7.0, 16.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 14.0, 10.0, 0.0, 0.0, 5.0, 11.0, 8.0, 9.0, 16.0, 3.0, 0.0, 0.0, 9.0, 16.0, 16.0, 16.0, 16.0, 9.0, 0.0, 0.0, 1.0, 4.0, 9.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 5.0, 0.0, 0.0, 0.0], [0.0, 0.0, 4.0, 8.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 8.0, 11.0, 0.0, 0.0, 0.0, 0.0, 5.0, 10.0, 0.0, 13.0, 2.0, 0.0, 0.0, 0.0, 0.0, 13.0, 4.0, 15.0, 2.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 8.0, 15.0, 14.0, 5.0, 0.0, 0.0, 0.0, 0.0, 16.0, 5.0, 14.0, 4.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 12.0, 1.0, 0.0, 0.0], [0.0, 0.0, 0.0, 1.0, 14.0, 14.0, 3.0, 0.0, 0.0, 0.0, 0.0, 10.0, 11.0, 13.0, 8.0, 0.0, 0.0, 0.0, 0.0, 7.0, 0.0, 13.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 15.0, 1.0, 0.0, 0.0, 4.0, 8.0, 12.0, 15.0, 4.0, 0.0, 0.0, 0.0, 6.0, 16.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 12.0, 12.0, 4.0, 2.0, 0.0, 0.0, 0.0, 0.0, 1.0, 13.0, 16.0, 5.0, 0.0], [0.0, 0.0, 2.0, 14.0, 15.0, 5.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 16.0, 15.0, 1.0, 0.0, 0.0, 3.0, 16.0, 10.0, 10.0, 16.0, 4.0, 0.0, 0.0, 5.0, 16.0, 0.0, 0.0, 14.0, 6.0, 0.0, 0.0, 5.0, 16.0, 6.0, 0.0, 12.0, 7.0, 0.0, 0.0, 1.0, 15.0, 13.0, 4.0, 13.0, 6.0, 0.0, 0.0, 0.0, 11.0, 16.0, 16.0, 15.0, 0.0, 0.0, 0.0, 0.0, 2.0, 11.0, 13.0, 4.0, 0.0, 0.0], [0.0, 0.0, 0.0, 0.0, 12.0, 13.0, 1.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 15.0, 2.0, 0.0, 0.0, 0.0, 10.0, 16.0, 16.0, 12.0, 0.0, 0.0, 0.0, 4.0, 16.0, 16.0, 16.0, 13.0, 0.0, 0.0, 0.0, 4.0, 7.0, 4.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 12.0, 0.0, 0.0], [0.0, 0.0, 0.0, 1.0, 9.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 16.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 7.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 7.0, 0.0, 0.0, 0.0, 0.0, 5.0, 12.0, 12.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 4.0, 9.0, 13.0, 16.0, 11.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 13.0, 3.0, 0.0], [0.0, 0.0, 0.0, 10.0, 13.0, 1.0, 0.0, 0.0, 0.0, 1.0, 11.0, 12.0, 7.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 15.0, 8.0, 4.0, 0.0, 0.0, 0.0, 4.0, 16.0, 16.0, 13.0, 16.0, 6.0, 0.0, 0.0, 0.0, 7.0, 16.0, 7.0, 13.0, 14.0, 0.0, 0.0, 0.0, 0.0, 7.0, 15.0, 15.0, 5.0, 0.0], [0.0, 1.0, 10.0, 15.0, 11.0, 1.0, 0.0, 0.0, 0.0, 3.0, 8.0, 8.0, 11.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 14.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0, 11.0, 15.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 15.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 10.0, 0.0, 0.0, 0.0, 0.0, 3.0, 4.0, 10.0, 16.0, 1.0, 0.0, 0.0, 0.0, 13.0, 16.0, 15.0, 10.0, 0.0, 0.0], [0.0, 0.0, 10.0, 15.0, 14.0, 4.0, 0.0, 0.0, 0.0, 0.0, 4.0, 6.0, 13.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 4.0, 0.0, 0.0, 1.0, 9.0, 5.0, 6.0, 16.0, 7.0, 0.0, 0.0, 0.0, 14.0, 12.0, 15.0, 11.0, 2.0, 0.0], [0.0, 0.0, 6.0, 13.0, 16.0, 6.0, 0.0, 0.0, 0.0, 3.0, 16.0, 14.0, 15.0, 16.0, 1.0, 0.0, 0.0, 0.0, 5.0, 0.0, 8.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 3.0, 0.0, 0.0, 3.0, 15.0, 16.0, 16.0, 16.0, 9.0, 0.0, 0.0, 5.0, 13.0, 14.0, 16.0, 11.0, 3.0, 0.0, 0.0, 0.0, 0.0, 12.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 7.0, 0.0, 0.0, 0.0], [0.0, 0.0, 14.0, 16.0, 14.0, 6.0, 0.0, 0.0, 0.0, 0.0, 7.0, 10.0, 16.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 13.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 7.0, 0.0, 0.0, 0.0, 5.0, 9.0, 14.0, 16.0, 7.0, 0.0, 0.0, 0.0, 13.0, 16.0, 16.0, 10.0, 1.0, 0.0], [0.0, 3.0, 16.0, 16.0, 14.0, 7.0, 1.0, 0.0, 0.0, 1.0, 9.0, 9.0, 15.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 12.0, 1.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 15.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 15.0, 0.0, 0.0, 0.0, 1.0, 10.0, 10.0, 16.0, 16.0, 3.0, 0.0, 0.0, 2.0, 13.0, 16.0, 12.0, 5.0, 0.0, 0.0], [0.0, 0.0, 0.0, 6.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 1.0, 13.0, 15.0, 1.0, 0.0, 0.0, 0.0, 1.0, 11.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 10.0, 0.0, 10.0, 6.0, 0.0, 0.0, 12.0, 16.0, 8.0, 9.0, 16.0, 12.0, 0.0, 0.0, 2.0, 15.0, 16.0, 16.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 3.0, 0.0, 0.0], [0.0, 0.0, 0.0, 9.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 13.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 15.0, 12.0, 7.0, 0.0, 0.0, 0.0, 2.0, 16.0, 12.0, 4.0, 11.0, 10.0, 0.0, 0.0, 0.0, 8.0, 14.0, 5.0, 9.0, 14.0, 0.0, 0.0, 0.0, 0.0, 6.0, 12.0, 14.0, 9.0, 0.0], [0.0, 0.0, 0.0, 10.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 15.0, 12.0, 8.0, 2.0, 0.0, 0.0, 0.0, 0.0, 12.0, 16.0, 16.0, 16.0, 10.0, 1.0, 0.0, 0.0, 7.0, 16.0, 12.0, 12.0, 16.0, 4.0, 0.0, 0.0, 0.0, 9.0, 15.0, 12.0, 5.0, 0.0], [0.0, 0.0, 5.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 2.0, 7.0, 4.0, 0.0, 0.0, 0.0, 3.0, 16.0, 16.0, 16.0, 16.0, 9.0, 0.0, 0.0, 0.0, 15.0, 15.0, 4.0, 10.0, 16.0, 0.0, 0.0, 0.0, 4.0, 14.0, 16.0, 12.0, 7.0, 0.0], [0.0, 0.0, 0.0, 9.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 3.0, 14.0, 10.0, 0.0, 2.0, 0.0, 0.0, 0.0, 10.0, 16.0, 5.0, 7.0, 15.0, 1.0, 0.0, 0.0, 2.0, 11.0, 15.0, 16.0, 13.0, 1.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 5.0, 0.0, 0.0], [0.0, 0.0, 6.0, 12.0, 13.0, 6.0, 0.0, 0.0, 0.0, 6.0, 16.0, 9.0, 12.0, 16.0, 2.0, 0.0, 0.0, 7.0, 16.0, 9.0, 15.0, 13.0, 0.0, 0.0, 0.0, 0.0, 11.0, 15.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 11.0, 0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 0.0, 14.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 16.0, 7.0, 0.0, 0.0, 0.0, 7.0, 16.0, 8.0, 16.0, 2.0, 0.0, 0.0, 0.0, 1.0, 5.0, 6.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 11.0, 0.0, 0.0], [0.0, 1.0, 13.0, 15.0, 12.0, 12.0, 5.0, 0.0, 0.0, 4.0, 16.0, 8.0, 8.0, 6.0, 0.0, 0.0, 0.0, 7.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 15.0, 13.0, 15.0, 7.0, 0.0, 0.0, 0.0, 1.0, 6.0, 5.0, 8.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 11.0, 0.0, 0.0, 0.0, 0.0, 2.0, 13.0, 14.0, 1.0, 0.0, 0.0, 0.0, 3.0, 14.0, 10.0, 1.0, 0.0, 0.0, 0.0], [0.0, 0.0, 1.0, 13.0, 10.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 16.0, 16.0, 7.0, 0.0, 0.0, 0.0, 8.0, 16.0, 13.0, 10.0, 15.0, 0.0, 0.0, 0.0, 8.0, 16.0, 2.0, 2.0, 15.0, 3.0, 0.0, 0.0, 5.0, 15.0, 2.0, 0.0, 12.0, 7.0, 0.0, 0.0, 1.0, 15.0, 6.0, 2.0, 16.0, 3.0, 0.0, 0.0, 0.0, 11.0, 15.0, 13.0, 16.0, 0.0, 0.0, 0.0, 0.0, 1.0, 15.0, 14.0, 8.0, 0.0, 0.0], [0.0, 1.0, 12.0, 13.0, 4.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 16.0, 16.0, 3.0, 0.0, 0.0, 0.0, 4.0, 16.0, 16.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 14.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 7.0, 0.0, 0.0, 1.0, 2.0, 3.0, 7.0, 14.0, 10.0, 0.0, 0.0, 2.0, 12.0, 16.0, 14.0, 12.0, 3.0, 0.0], [0.0, 0.0, 13.0, 13.0, 8.0, 2.0, 0.0, 0.0, 0.0, 5.0, 16.0, 16.0, 16.0, 12.0, 0.0, 0.0, 0.0, 1.0, 15.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 13.0, 7.0, 1.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 16.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 9.0, 16.0, 3.0, 0.0, 0.0, 0.0, 1.0, 5.0, 14.0, 15.0, 1.0, 0.0, 0.0, 0.0, 10.0, 16.0, 16.0, 6.0, 0.0, 0.0], [0.0, 0.0, 0.0, 0.0, 9.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 5.0, 9.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 15.0, 7.0, 0.0, 0.0, 0.0, 7.0, 16.0, 16.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 14.0, 16.0, 7.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 15.0, 9.0, 0.0], [0.0, 3.0, 5.0, 14.0, 13.0, 6.0, 0.0, 0.0, 0.0, 9.0, 16.0, 12.0, 10.0, 12.0, 0.0, 0.0, 0.0, 6.0, 16.0, 3.0, 12.0, 11.0, 0.0, 0.0, 0.0, 1.0, 13.0, 10.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 1.0, 15.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 12.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 15.0, 16.0, 5.0, 0.0, 0.0], [0.0, 0.0, 0.0, 0.0, 11.0, 15.0, 4.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 16.0, 12.0, 0.0, 0.0, 0.0, 0.0, 8.0, 14.0, 16.0, 12.0, 0.0, 0.0, 0.0, 0.0, 5.0, 10.0, 16.0, 6.0, 0.0, 0.0, 1.0, 7.0, 11.0, 16.0, 13.0, 0.0, 0.0, 0.0, 9.0, 16.0, 16.0, 14.0, 1.0, 0.0, 0.0, 0.0, 3.0, 8.0, 14.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 11.0, 16.0, 12.0, 0.0], [0.0, 0.0, 10.0, 12.0, 10.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 16.0, 16.0, 4.0, 0.0, 0.0, 0.0, 7.0, 15.0, 3.0, 8.0, 13.0, 0.0, 0.0, 0.0, 8.0, 12.0, 0.0, 0.0, 14.0, 1.0, 0.0, 0.0, 8.0, 12.0, 0.0, 0.0, 7.0, 8.0, 0.0, 0.0, 5.0, 13.0, 0.0, 0.0, 4.0, 8.0, 0.0, 0.0, 0.0, 14.0, 8.0, 0.0, 10.0, 8.0, 0.0, 0.0, 0.0, 7.0, 12.0, 13.0, 12.0, 4.0, 0.0], [0.0, 0.0, 4.0, 14.0, 11.0, 0.0, 0.0, 0.0, 0.0, 3.0, 15.0, 15.0, 16.0, 9.0, 0.0, 0.0, 0.0, 8.0, 13.0, 0.0, 3.0, 15.0, 1.0, 0.0, 0.0, 8.0, 12.0, 0.0, 0.0, 8.0, 6.0, 0.0, 0.0, 8.0, 12.0, 0.0, 0.0, 8.0, 8.0, 0.0, 0.0, 5.0, 13.0, 1.0, 0.0, 8.0, 8.0, 0.0, 0.0, 2.0, 15.0, 14.0, 12.0, 15.0, 6.0, 0.0, 0.0, 0.0, 5.0, 16.0, 15.0, 8.0, 0.0, 0.0], [0.0, 0.0, 0.0, 1.0, 14.0, 13.0, 1.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 16.0, 3.0, 0.0, 0.0, 5.0, 11.0, 15.0, 16.0, 16.0, 0.0, 0.0, 0.0, 4.0, 15.0, 16.0, 16.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 13.0, 15.0, 2.0, 0.0], [0.0, 0.0, 3.0, 14.0, 16.0, 14.0, 0.0, 0.0, 0.0, 0.0, 13.0, 13.0, 13.0, 16.0, 2.0, 0.0, 0.0, 0.0, 1.0, 0.0, 9.0, 15.0, 0.0, 0.0, 0.0, 0.0, 9.0, 12.0, 15.0, 16.0, 10.0, 0.0, 0.0, 4.0, 16.0, 16.0, 16.0, 11.0, 3.0, 0.0, 0.0, 0.0, 4.0, 9.0, 14.0, 2.0, 0.0, 0.0, 0.0, 0.0, 2.0, 15.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 13.0, 1.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 10.0, 15.0, 3.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 13.0, 8.0, 1.0, 0.0, 0.0, 0.0, 0.0, 15.0, 16.0, 16.0, 15.0, 6.0, 0.0, 0.0, 0.0, 10.0, 16.0, 14.0, 16.0, 14.0, 2.0, 0.0, 0.0, 1.0, 9.0, 15.0, 16.0, 11.0, 0.0], [0.0, 2.0, 13.0, 15.0, 10.0, 4.0, 0.0, 0.0, 0.0, 0.0, 5.0, 4.0, 13.0, 15.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 13.0, 0.0, 0.0, 0.0, 1.0, 6.0, 8.0, 14.0, 12.0, 0.0, 0.0, 0.0, 2.0, 12.0, 14.0, 11.0, 1.0, 0.0, 0.0], [0.0, 1.0, 13.0, 15.0, 2.0, 0.0, 0.0, 0.0, 0.0, 6.0, 15.0, 15.0, 9.0, 0.0, 0.0, 0.0, 0.0, 9.0, 8.0, 10.0, 13.0, 0.0, 0.0, 0.0, 0.0, 5.0, 3.0, 12.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 5.0, 15.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 15.0, 12.0, 12.0, 11.0, 0.0, 0.0, 1.0, 11.0, 13.0, 16.0, 16.0, 12.0, 0.0], [0.0, 0.0, 0.0, 1.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 16.0, 11.0, 0.0, 0.0, 0.0, 7.0, 12.0, 16.0, 16.0, 7.0, 0.0, 0.0, 0.0, 4.0, 8.0, 12.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 13.0, 5.0, 0.0, 0.0], [0.0, 0.0, 2.0, 7.0, 15.0, 13.0, 1.0, 0.0, 0.0, 0.0, 14.0, 12.0, 9.0, 14.0, 8.0, 0.0, 0.0, 0.0, 2.0, 0.0, 0.0, 12.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 6.0, 0.0, 0.0, 5.0, 16.0, 16.0, 16.0, 16.0, 5.0, 0.0, 0.0, 2.0, 5.0, 7.0, 13.0, 14.0, 2.0, 0.0, 0.0, 0.0, 0.0, 1.0, 15.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 9.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 9.0, 16.0, 4.0, 0.0, 0.0, 0.0, 1.0, 9.0, 16.0, 13.0, 2.0, 0.0, 0.0, 0.0, 14.0, 16.0, 14.0, 8.0, 0.0, 0.0, 0.0, 1.0, 15.0, 15.0, 5.0, 16.0, 9.0, 0.0, 0.0, 0.0, 5.0, 16.0, 16.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 2.0, 13.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 13.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 10.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 16.0, 15.0, 6.0, 0.0, 0.0, 0.0, 0.0, 12.0, 16.0, 12.0, 15.0, 6.0, 0.0, 0.0, 0.0, 7.0, 16.0, 10.0, 13.0, 14.0, 0.0, 0.0, 0.0, 0.0, 9.0, 13.0, 11.0, 6.0, 0.0], [0.0, 0.0, 13.0, 16.0, 15.0, 4.0, 0.0, 0.0, 0.0, 0.0, 9.0, 8.0, 13.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 15.0, 0.0, 0.0, 0.0, 0.0, 3.0, 6.0, 15.0, 16.0, 7.0, 0.0, 0.0, 0.0, 15.0, 16.0, 16.0, 11.0, 1.0, 0.0], [0.0, 0.0, 0.0, 1.0, 12.0, 8.0, 1.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 16.0, 1.0, 0.0, 0.0, 0.0, 1.0, 13.0, 16.0, 11.0, 0.0, 0.0, 0.0, 1.0, 11.0, 16.0, 16.0, 12.0, 0.0, 0.0, 0.0, 2.0, 12.0, 8.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 13.0, 4.0, 0.0, 0.0], [0.0, 4.0, 14.0, 16.0, 16.0, 12.0, 1.0, 0.0, 0.0, 2.0, 12.0, 7.0, 14.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 15.0, 11.0, 0.0, 0.0, 0.0, 1.0, 8.0, 10.0, 16.0, 10.0, 0.0, 0.0, 0.0, 5.0, 16.0, 16.0, 15.0, 1.0, 0.0, 0.0], [0.0, 0.0, 9.0, 13.0, 14.0, 5.0, 0.0, 0.0, 0.0, 4.0, 16.0, 10.0, 13.0, 16.0, 0.0, 0.0, 0.0, 0.0, 13.0, 15.0, 14.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 3.0, 7.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 3.0, 0.0, 0.0, 1.0, 15.0, 5.0, 8.0, 16.0, 2.0, 0.0, 0.0, 0.0, 7.0, 15.0, 16.0, 9.0, 0.0, 0.0], [0.0, 0.0, 0.0, 11.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 16.0, 5.0, 0.0, 0.0, 0.0, 11.0, 16.0, 16.0, 16.0, 3.0, 0.0, 0.0, 0.0, 5.0, 8.0, 14.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 8.0, 0.0, 0.0], [0.0, 0.0, 3.0, 12.0, 16.0, 10.0, 0.0, 0.0, 0.0, 2.0, 14.0, 12.0, 12.0, 12.0, 0.0, 0.0, 0.0, 5.0, 10.0, 0.0, 10.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 14.0, 9.0, 2.0, 0.0, 0.0, 0.0, 8.0, 16.0, 16.0, 16.0, 10.0, 0.0, 0.0, 0.0, 6.0, 16.0, 13.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 13.0, 0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 11.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 13.0, 3.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 16.0, 16.0, 5.0, 0.0, 0.0, 0.0, 1.0, 10.0, 16.0, 16.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 16.0, 15.0, 0.0, 0.0], [0.0, 1.0, 9.0, 16.0, 15.0, 10.0, 0.0, 0.0, 0.0, 6.0, 16.0, 8.0, 7.0, 16.0, 3.0, 0.0, 0.0, 0.0, 11.0, 14.0, 16.0, 11.0, 1.0, 0.0, 0.0, 1.0, 13.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 8.0, 15.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 5.0, 14.0, 10.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 7.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 8.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 3.0, 14.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 12.0, 1.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 5.0, 3.0, 0.0, 0.0, 0.0, 3.0, 15.0, 11.0, 5.0, 16.0, 2.0, 0.0, 0.0, 5.0, 16.0, 11.0, 11.0, 16.0, 6.0, 0.0, 0.0, 0.0, 6.0, 12.0, 16.0, 13.0, 3.0, 0.0, 0.0, 0.0, 0.0, 1.0, 15.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 7.0, 0.0, 0.0], [0.0, 2.0, 15.0, 16.0, 16.0, 13.0, 2.0, 0.0, 0.0, 1.0, 10.0, 8.0, 14.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 1.0, 0.0, 0.0, 2.0, 14.0, 13.0, 16.0, 16.0, 3.0, 0.0, 0.0, 2.0, 15.0, 16.0, 14.0, 5.0, 0.0, 0.0], [0.0, 0.0, 1.0, 15.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 16.0, 13.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 16.0, 13.0, 0.0, 0.0, 0.0, 0.0, 1.0, 11.0, 16.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 14.0, 16.0, 3.0, 0.0, 0.0], [0.0, 0.0, 0.0, 2.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 5.0, 2.0, 0.0, 0.0, 0.0, 0.0, 15.0, 12.0, 1.0, 16.0, 4.0, 0.0, 0.0, 4.0, 16.0, 2.0, 9.0, 16.0, 8.0, 0.0, 0.0, 0.0, 10.0, 14.0, 16.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 6.0, 0.0, 0.0], [0.0, 0.0, 1.0, 12.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 14.0, 3.0, 0.0, 0.0, 0.0, 2.0, 16.0, 14.0, 11.0, 13.0, 0.0, 0.0, 0.0, 2.0, 16.0, 10.0, 0.0, 14.0, 4.0, 0.0, 0.0, 4.0, 16.0, 0.0, 0.0, 12.0, 4.0, 0.0, 0.0, 4.0, 16.0, 3.0, 0.0, 11.0, 10.0, 0.0, 0.0, 0.0, 13.0, 12.0, 8.0, 14.0, 6.0, 0.0, 0.0, 0.0, 3.0, 10.0, 16.0, 12.0, 1.0, 0.0], [0.0, 0.0, 12.0, 16.0, 16.0, 8.0, 0.0, 0.0, 0.0, 3.0, 16.0, 13.0, 8.0, 5.0, 0.0, 0.0, 0.0, 2.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 13.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 10.0, 13.0, 0.0, 0.0, 0.0, 0.0, 2.0, 11.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 12.0, 0.0, 0.0, 0.0], [0.0, 4.0, 13.0, 16.0, 16.0, 12.0, 3.0, 0.0, 0.0, 3.0, 7.0, 4.0, 13.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 8.0, 15.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 12.0, 0.0, 0.0, 0.0, 0.0, 1.0, 7.0, 12.0, 11.0, 0.0, 0.0, 0.0, 0.0, 3.0, 15.0, 12.0, 2.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 8.0, 14.0, 4.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 12.0, 14.0, 6.0, 0.0, 0.0, 0.0, 0.0, 12.0, 15.0, 11.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 13.0, 8.0, 0.0, 0.0], [0.0, 0.0, 9.0, 15.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 14.0, 13.0, 7.0, 0.0, 0.0, 0.0, 0.0, 6.0, 14.0, 10.0, 13.0, 1.0, 0.0, 0.0, 0.0, 0.0, 9.0, 12.0, 15.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 14.0, 0.0, 0.0, 0.0, 3.0, 8.0, 9.0, 15.0, 15.0, 0.0, 0.0, 0.0, 5.0, 12.0, 12.0, 9.0, 1.0, 0.0], [0.0, 0.0, 0.0, 5.0, 11.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 14.0, 2.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 15.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 16.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 9.0, 15.0, 6.0, 0.0, 0.0, 0.0, 0.0, 6.0, 14.0, 16.0, 8.0, 0.0], [0.0, 0.0, 0.0, 0.0, 6.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 16.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 16.0, 15.0, 0.0, 0.0, 0.0, 3.0, 15.0, 7.0, 15.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 15.0, 0.0, 0.0], [0.0, 0.0, 2.0, 11.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 12.0, 9.0, 11.0, 15.0, 1.0, 0.0, 0.0, 0.0, 2.0, 0.0, 4.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 8.0, 15.0, 1.0, 0.0, 0.0, 4.0, 16.0, 16.0, 16.0, 15.0, 7.0, 0.0, 0.0, 3.0, 6.0, 4.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 7.0, 0.0, 0.0, 0.0], [0.0, 0.0, 15.0, 16.0, 16.0, 12.0, 2.0, 0.0, 0.0, 2.0, 16.0, 15.0, 12.0, 12.0, 3.0, 0.0, 0.0, 4.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 12.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 16.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 8.0, 0.0, 0.0, 0.0, 2.0, 6.0, 9.0, 16.0, 8.0, 0.0, 0.0, 0.0, 1.0, 15.0, 16.0, 15.0, 3.0, 0.0, 0.0], [0.0, 0.0, 0.0, 10.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 15.0, 3.0, 0.0, 0.0, 0.0, 0.0, 7.0, 15.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 11.0, 1.0, 3.0, 8.0, 2.0, 0.0, 0.0, 4.0, 12.0, 15.0, 15.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 8.0, 2.0, 0.0, 0.0, 0.0, 0.0, 10.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 9.0, 0.0, 0.0, 0.0], [0.0, 0.0, 1.0, 10.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 15.0, 4.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 1.0, 4.0, 14.0, 4.0, 0.0, 0.0, 4.0, 16.0, 12.0, 14.0, 16.0, 5.0, 0.0, 0.0, 0.0, 1.0, 7.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 13.0, 0.0, 0.0, 0.0], [0.0, 0.0, 3.0, 11.0, 16.0, 13.0, 0.0, 0.0, 0.0, 3.0, 15.0, 15.0, 13.0, 16.0, 0.0, 0.0, 0.0, 6.0, 8.0, 2.0, 9.0, 14.0, 0.0, 0.0, 0.0, 0.0, 4.0, 7.0, 15.0, 14.0, 5.0, 0.0, 0.0, 4.0, 16.0, 16.0, 16.0, 14.0, 6.0, 0.0, 0.0, 1.0, 8.0, 13.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 15.0, 1.0, 0.0, 0.0, 0.0], [0.0, 0.0, 2.0, 16.0, 13.0, 1.0, 0.0, 0.0, 0.0, 0.0, 6.0, 15.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 3.0, 6.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 1.0, 13.0, 13.0, 0.0, 0.0, 0.0, 0.0, 6.0, 14.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 16.0, 13.0, 10.0, 3.0, 0.0, 0.0, 0.0, 4.0, 11.0, 15.0, 16.0, 10.0, 0.0], [0.0, 0.0, 4.0, 9.0, 13.0, 5.0, 0.0, 0.0, 0.0, 1.0, 16.0, 16.0, 12.0, 11.0, 0.0, 0.0, 0.0, 0.0, 11.0, 8.0, 5.0, 16.0, 0.0, 0.0, 0.0, 0.0, 7.0, 10.0, 13.0, 10.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 15.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 9.0, 14.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 8.0, 0.0, 0.0], [0.0, 0.0, 0.0, 8.0, 15.0, 8.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 12.0, 16.0, 4.0, 0.0, 0.0, 0.0, 2.0, 10.0, 1.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 15.0, 3.0, 0.0, 0.0, 0.0, 3.0, 16.0, 14.0, 4.0, 0.0, 0.0, 0.0, 0.0, 4.0, 15.0, 14.0, 7.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 12.0, 14.0, 4.0, 0.0], [0.0, 0.0, 1.0, 10.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 11.0, 13.0, 10.0, 16.0, 0.0, 0.0, 0.0, 0.0, 12.0, 1.0, 4.0, 16.0, 1.0, 0.0, 0.0, 0.0, 1.0, 0.0, 13.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 12.0, 0.0, 0.0, 0.0, 0.0, 2.0, 13.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0, 4.0, 15.0, 14.0, 7.0, 4.0, 0.0, 0.0, 0.0, 0.0, 1.0, 11.0, 14.0, 15.0, 5.0, 0.0], [0.0, 2.0, 15.0, 16.0, 16.0, 14.0, 2.0, 0.0, 0.0, 3.0, 16.0, 14.0, 9.0, 10.0, 1.0, 0.0, 0.0, 7.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 14.0, 15.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 13.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 11.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 13.0, 1.0, 0.0, 0.0, 0.0], [0.0, 0.0, 9.0, 12.0, 15.0, 15.0, 2.0, 0.0, 0.0, 1.0, 15.0, 14.0, 11.0, 16.0, 7.0, 0.0, 0.0, 0.0, 2.0, 0.0, 2.0, 16.0, 4.0, 0.0, 0.0, 0.0, 2.0, 4.0, 10.0, 15.0, 2.0, 0.0, 0.0, 0.0, 13.0, 16.0, 16.0, 16.0, 9.0, 0.0, 0.0, 0.0, 13.0, 16.0, 10.0, 1.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 9.0, 0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 12.0, 14.0, 1.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 10.0, 5.0, 0.0, 0.0, 0.0, 0.0, 8.0, 13.0, 5.0, 14.0, 0.0, 0.0, 0.0, 0.0, 2.0, 14.0, 16.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 10.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 0.0, 0.0, 0.0, 2.0, 6.0, 4.0, 9.0, 16.0, 0.0, 0.0, 0.0, 1.0, 11.0, 16.0, 15.0, 7.0, 0.0], [0.0, 0.0, 6.0, 13.0, 2.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 16.0, 16.0, 11.0, 0.0, 0.0, 0.0, 0.0, 12.0, 11.0, 1.0, 6.0, 1.0, 0.0, 0.0, 0.0, 12.0, 14.0, 10.0, 2.0, 0.0, 0.0, 0.0, 0.0, 1.0, 8.0, 12.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 14.0, 0.0, 0.0, 0.0, 0.0, 4.0, 9.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 9.0, 14.0, 4.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 12.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 13.0, 11.0, 12.0, 2.0, 0.0, 0.0, 12.0, 16.0, 10.0, 15.0, 16.0, 9.0, 0.0, 0.0, 4.0, 14.0, 16.0, 16.0, 12.0, 4.0, 0.0, 0.0, 0.0, 0.0, 14.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 13.0, 0.0, 0.0, 0.0], [0.0, 0.0, 3.0, 6.0, 14.0, 5.0, 0.0, 0.0, 0.0, 0.0, 7.0, 15.0, 15.0, 13.0, 0.0, 0.0, 0.0, 0.0, 3.0, 14.0, 13.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 13.0, 1.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 9.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 4.0, 15.0, 2.0, 0.0, 0.0, 0.0, 0.0, 4.0, 15.0, 14.0, 0.0, 0.0, 0.0], [0.0, 0.0, 5.0, 14.0, 15.0, 4.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 16.0, 14.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 15.0, 14.0, 5.0, 0.0, 0.0, 0.0, 0.0, 12.0, 12.0, 8.0, 15.0, 1.0, 0.0, 0.0, 0.0, 5.0, 16.0, 16.0, 16.0, 2.0, 0.0], [0.0, 0.0, 0.0, 8.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 11.0, 0.0, 0.0, 0.0, 0.0, 1.0, 15.0, 14.0, 1.0, 6.0, 0.0, 0.0, 0.0, 7.0, 16.0, 5.0, 3.0, 16.0, 8.0, 0.0, 0.0, 8.0, 16.0, 8.0, 14.0, 16.0, 2.0, 0.0, 0.0, 0.0, 6.0, 14.0, 16.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 15.0, 0.0, 0.0, 0.0], [0.0, 0.0, 12.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 5.0, 12.0, 3.0, 0.0, 0.0, 0.0, 0.0, 14.0, 6.0, 3.0, 16.0, 2.0, 0.0, 0.0, 0.0, 2.0, 14.0, 16.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 8.0, 0.0, 0.0, 0.0, 0.0, 8.0, 2.0, 13.0, 7.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 16.0, 3.0, 0.0, 0.0], [0.0, 0.0, 3.0, 12.0, 10.0, 1.0, 0.0, 0.0, 0.0, 1.0, 16.0, 16.0, 16.0, 10.0, 0.0, 0.0, 0.0, 5.0, 16.0, 13.0, 6.0, 16.0, 1.0, 0.0, 0.0, 5.0, 16.0, 7.0, 0.0, 13.0, 3.0, 0.0, 0.0, 5.0, 16.0, 4.0, 0.0, 13.0, 7.0, 0.0, 0.0, 1.0, 16.0, 8.0, 0.0, 14.0, 7.0, 0.0, 0.0, 0.0, 13.0, 14.0, 13.0, 16.0, 3.0, 0.0, 0.0, 0.0, 2.0, 13.0, 15.0, 6.0, 0.0, 0.0], [0.0, 0.0, 5.0, 4.0, 9.0, 10.0, 0.0, 0.0, 0.0, 0.0, 10.0, 8.0, 11.0, 16.0, 2.0, 0.0, 0.0, 0.0, 8.0, 12.0, 14.0, 14.0, 1.0, 0.0, 0.0, 0.0, 5.0, 15.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 14.0, 13.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 13.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 5.0, 0.0, 0.0, 0.0], [0.0, 0.0, 1.0, 11.0, 15.0, 8.0, 0.0, 0.0, 0.0, 0.0, 12.0, 14.0, 10.0, 16.0, 5.0, 0.0, 0.0, 0.0, 16.0, 7.0, 13.0, 16.0, 4.0, 0.0, 0.0, 0.0, 9.0, 15.0, 13.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 15.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 4.0, 0.0, 0.0, 8.0, 16.0, 14.0, 9.0, 16.0, 4.0, 0.0, 0.0, 0.0, 2.0, 10.0, 15.0, 15.0, 2.0, 0.0], [0.0, 0.0, 7.0, 13.0, 15.0, 5.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 16.0, 12.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 15.0, 3.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 12.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 13.0, 10.0, 0.0, 0.0, 0.0], [0.0, 0.0, 2.0, 12.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 15.0, 12.0, 5.0, 0.0, 0.0, 0.0, 0.0, 15.0, 5.0, 0.0, 14.0, 0.0, 0.0, 0.0, 2.0, 15.0, 1.0, 0.0, 9.0, 7.0, 0.0, 0.0, 4.0, 10.0, 0.0, 0.0, 7.0, 8.0, 0.0, 0.0, 0.0, 12.0, 0.0, 0.0, 8.0, 10.0, 0.0, 0.0, 2.0, 15.0, 5.0, 10.0, 16.0, 1.0, 0.0, 0.0, 0.0, 5.0, 14.0, 12.0, 4.0, 0.0, 0.0], [0.0, 0.0, 0.0, 0.0, 5.0, 15.0, 8.0, 0.0, 0.0, 0.0, 0.0, 2.0, 15.0, 16.0, 9.0, 0.0, 0.0, 0.0, 3.0, 15.0, 16.0, 16.0, 10.0, 0.0, 0.0, 7.0, 16.0, 10.0, 8.0, 16.0, 7.0, 0.0, 0.0, 0.0, 1.0, 0.0, 8.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 14.0, 0.0, 0.0], [0.0, 2.0, 15.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 15.0, 14.0, 0.0, 0.0, 0.0, 0.0, 5.0, 13.0, 10.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 15.0, 2.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 10.0, 8.0, 6.0, 1.0, 0.0, 0.0, 2.0, 15.0, 16.0, 16.0, 16.0, 7.0, 0.0], [0.0, 3.0, 16.0, 16.0, 12.0, 12.0, 6.0, 0.0, 0.0, 0.0, 4.0, 4.0, 5.0, 14.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 14.0, 0.0, 0.0, 0.0, 0.0, 3.0, 7.0, 15.0, 4.0, 0.0, 0.0, 0.0, 3.0, 16.0, 14.0, 4.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 3.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 16.0, 4.0, 0.0, 0.0, 0.0, 7.0, 16.0, 15.0, 16.0, 12.0, 11.0, 0.0, 0.0, 8.0, 16.0, 16.0, 16.0, 13.0, 3.0, 0.0, 0.0, 0.0, 0.0, 7.0, 14.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 14.0, 0.0, 0.0, 0.0], [0.0, 4.0, 16.0, 16.0, 16.0, 10.0, 3.0, 0.0, 0.0, 12.0, 16.0, 9.0, 8.0, 12.0, 3.0, 0.0, 0.0, 10.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 16.0, 1.0, 0.0, 0.0, 0.0, 3.0, 10.0, 15.0, 15.0, 1.0, 0.0, 0.0, 0.0, 4.0, 16.0, 13.0, 3.0, 0.0, 0.0, 0.0], [0.0, 0.0, 2.0, 15.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 16.0, 15.0, 5.0, 0.0, 0.0, 0.0, 4.0, 16.0, 5.0, 3.0, 13.0, 7.0, 0.0, 0.0, 1.0, 14.0, 9.0, 0.0, 8.0, 13.0, 0.0, 0.0, 0.0, 2.0, 13.0, 16.0, 16.0, 8.0, 0.0], [0.0, 0.0, 2.0, 15.0, 15.0, 3.0, 0.0, 0.0, 0.0, 0.0, 8.0, 14.0, 16.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 14.0, 3.0, 0.0, 0.0, 0.0, 4.0, 12.0, 16.0, 16.0, 7.0, 0.0, 0.0, 0.0, 11.0, 16.0, 12.0, 1.0, 0.0, 0.0, 0.0, 0.0, 1.0, 14.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 12.0, 1.0, 0.0, 0.0, 0.0], [0.0, 0.0, 5.0, 12.0, 13.0, 2.0, 0.0, 0.0, 0.0, 3.0, 16.0, 14.0, 16.0, 13.0, 1.0, 0.0, 0.0, 4.0, 16.0, 9.0, 16.0, 12.0, 1.0, 0.0, 0.0, 1.0, 9.0, 16.0, 15.0, 1.0, 0.0, 0.0, 0.0, 1.0, 13.0, 16.0, 16.0, 5.0, 0.0, 0.0, 0.0, 3.0, 16.0, 5.0, 12.0, 16.0, 0.0, 0.0, 0.0, 3.0, 15.0, 7.0, 14.0, 12.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 13.0, 3.0, 0.0, 0.0], [0.0, 0.0, 5.0, 15.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 11.0, 13.0, 8.0, 0.0, 0.0, 0.0, 0.0, 11.0, 9.0, 10.0, 16.0, 0.0, 0.0, 0.0, 0.0, 3.0, 15.0, 16.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 8.0, 0.0, 0.0, 0.0, 6.0, 3.0, 0.0, 14.0, 6.0, 0.0, 0.0, 0.0, 2.0, 13.0, 16.0, 15.0, 3.0, 0.0], [0.0, 0.0, 12.0, 9.0, 12.0, 1.0, 0.0, 0.0, 0.0, 0.0, 14.0, 16.0, 16.0, 8.0, 0.0, 0.0, 0.0, 3.0, 16.0, 9.0, 3.0, 15.0, 2.0, 0.0, 0.0, 4.0, 16.0, 1.0, 0.0, 16.0, 5.0, 0.0, 0.0, 5.0, 12.0, 0.0, 0.0, 16.0, 5.0, 0.0, 0.0, 3.0, 14.0, 1.0, 4.0, 16.0, 4.0, 0.0, 0.0, 0.0, 15.0, 12.0, 14.0, 14.0, 0.0, 0.0, 0.0, 0.0, 7.0, 12.0, 12.0, 2.0, 0.0, 0.0], [0.0, 0.0, 0.0, 0.0, 7.0, 13.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 16.0, 8.0, 0.0, 0.0, 0.0, 1.0, 13.0, 16.0, 16.0, 3.0, 0.0, 0.0, 0.0, 12.0, 16.0, 16.0, 16.0, 0.0, 0.0, 0.0, 8.0, 16.0, 3.0, 16.0, 13.0, 0.0, 0.0, 0.0, 2.0, 3.0, 0.0, 16.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 12.0, 0.0, 0.0], [0.0, 0.0, 13.0, 14.0, 8.0, 1.0, 0.0, 0.0, 0.0, 1.0, 16.0, 16.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 3.0, 5.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 11.0, 4.0, 4.0, 0.0, 0.0, 0.0, 1.0, 13.0, 14.0, 12.0, 12.0, 0.0, 0.0], [0.0, 6.0, 16.0, 16.0, 15.0, 7.0, 0.0, 0.0, 0.0, 2.0, 11.0, 12.0, 16.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 15.0, 2.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 9.0, 0.0, 0.0, 0.0, 3.0, 7.0, 12.0, 16.0, 7.0, 0.0, 0.0, 3.0, 16.0, 16.0, 15.0, 11.0, 1.0, 0.0], [0.0, 0.0, 0.0, 5.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 15.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 13.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 15.0, 13.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 16.0, 16.0, 15.0, 9.0, 0.0, 0.0, 0.0, 4.0, 10.0, 14.0, 8.0, 5.0, 0.0, 0.0, 0.0, 0.0, 8.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 10.0, 0.0, 0.0, 0.0], [0.0, 4.0, 15.0, 16.0, 16.0, 16.0, 4.0, 0.0, 0.0, 4.0, 16.0, 15.0, 9.0, 7.0, 1.0, 0.0, 0.0, 0.0, 15.0, 14.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 5.0, 0.0, 0.0, 0.0, 3.0, 10.0, 13.0, 16.0, 4.0, 0.0, 0.0, 0.0, 5.0, 16.0, 16.0, 12.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 6.0, 14.0, 1.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 15.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 13.0, 8.0, 5.0, 0.0, 0.0, 0.0, 2.0, 16.0, 14.0, 12.0, 16.0, 3.0, 0.0, 0.0, 1.0, 16.0, 11.0, 0.0, 5.0, 12.0, 0.0, 0.0, 0.0, 11.0, 15.0, 5.0, 12.0, 12.0, 0.0, 0.0, 0.0, 0.0, 9.0, 15.0, 14.0, 6.0, 0.0], [0.0, 0.0, 3.0, 15.0, 14.0, 1.0, 0.0, 0.0, 0.0, 0.0, 13.0, 16.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 4.0, 4.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 10.0, 1.0, 0.0, 0.0, 0.0, 7.0, 16.0, 16.0, 16.0, 8.0, 0.0, 0.0, 0.0, 12.0, 15.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 12.0, 1.0, 0.0, 0.0, 0.0], [0.0, 0.0, 3.0, 13.0, 13.0, 3.0, 0.0, 0.0, 0.0, 2.0, 14.0, 12.0, 12.0, 11.0, 0.0, 0.0, 0.0, 4.0, 16.0, 8.0, 5.0, 15.0, 3.0, 0.0, 0.0, 1.0, 13.0, 14.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 13.0, 1.0, 0.0, 0.0, 0.0, 1.0, 16.0, 12.0, 13.0, 14.0, 1.0, 0.0, 0.0, 0.0, 13.0, 13.0, 9.0, 16.0, 7.0, 0.0, 0.0, 0.0, 3.0, 13.0, 16.0, 10.0, 1.0, 0.0], [0.0, 0.0, 6.0, 13.0, 10.0, 4.0, 0.0, 0.0, 0.0, 4.0, 16.0, 15.0, 13.0, 13.0, 0.0, 0.0, 0.0, 4.0, 16.0, 14.0, 16.0, 16.0, 1.0, 0.0, 0.0, 2.0, 10.0, 16.0, 16.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 2.0, 8.0, 16.0, 8.0, 0.0, 0.0, 0.0, 7.0, 16.0, 14.0, 9.0, 1.0, 0.0], [0.0, 0.0, 2.0, 12.0, 4.0, 0.0, 0.0, 0.0, 0.0, 1.0, 12.0, 16.0, 16.0, 3.0, 0.0, 0.0, 0.0, 7.0, 16.0, 6.0, 4.0, 13.0, 0.0, 0.0, 0.0, 8.0, 16.0, 6.0, 0.0, 13.0, 5.0, 0.0, 0.0, 1.0, 16.0, 5.0, 0.0, 7.0, 9.0, 0.0, 0.0, 0.0, 16.0, 8.0, 0.0, 8.0, 12.0, 0.0, 0.0, 0.0, 13.0, 14.0, 14.0, 16.0, 10.0, 0.0, 0.0, 0.0, 4.0, 14.0, 15.0, 7.0, 0.0, 0.0], [0.0, 0.0, 0.0, 0.0, 5.0, 14.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 16.0, 5.0, 0.0, 0.0, 1.0, 13.0, 15.0, 12.0, 16.0, 1.0, 0.0, 0.0, 4.0, 12.0, 3.0, 10.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 13.0, 4.0, 0.0], [0.0, 0.0, 6.0, 13.0, 10.0, 3.0, 0.0, 0.0, 0.0, 5.0, 15.0, 11.0, 16.0, 11.0, 0.0, 0.0, 0.0, 2.0, 6.0, 0.0, 16.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 5.0, 15.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 8.0, 4.0, 0.0, 0.0, 0.0, 0.0, 8.0, 14.0, 13.0, 12.0, 4.0, 0.0], [0.0, 1.0, 11.0, 12.0, 14.0, 6.0, 0.0, 0.0, 0.0, 1.0, 6.0, 4.0, 8.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 2.0, 14.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 14.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 12.0, 14.0, 0.0, 0.0, 0.0, 5.0, 12.0, 15.0, 9.0, 1.0, 0.0, 0.0], [0.0, 0.0, 0.0, 3.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 11.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 16.0, 8.0, 0.0, 0.0, 0.0, 2.0, 14.0, 12.0, 16.0, 5.0, 0.0, 0.0, 0.0, 10.0, 16.0, 14.0, 16.0, 16.0, 11.0, 0.0, 0.0, 5.0, 12.0, 13.0, 16.0, 8.0, 3.0, 0.0, 0.0, 0.0, 0.0, 2.0, 15.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 12.0, 0.0, 0.0, 0.0], [0.0, 2.0, 14.0, 16.0, 16.0, 13.0, 5.0, 0.0, 0.0, 7.0, 16.0, 13.0, 8.0, 8.0, 1.0, 0.0, 0.0, 10.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 12.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 1.0, 8.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 15.0, 1.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 16.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 12.0, 16.0, 13.0, 15.0, 8.0, 0.0, 0.0, 0.0, 12.0, 16.0, 7.0, 13.0, 15.0, 0.0, 0.0, 0.0, 1.0, 11.0, 16.0, 15.0, 9.0, 0.0], [0.0, 0.0, 10.0, 16.0, 14.0, 1.0, 0.0, 0.0, 0.0, 0.0, 14.0, 16.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 1.0, 5.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 2.0, 10.0, 16.0, 11.0, 6.0, 0.0, 0.0, 7.0, 16.0, 16.0, 15.0, 12.0, 7.0, 0.0, 0.0, 11.0, 10.0, 15.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 9.0, 0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 2.0, 13.0, 13.0, 1.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 14.0, 4.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 10.0, 8.0, 4.0, 0.0, 0.0, 0.0, 1.0, 16.0, 16.0, 10.0, 2.0, 0.0, 0.0, 2.0, 15.0, 13.0, 12.0, 0.0, 0.0, 0.0, 0.0, 5.0, 12.0, 3.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0, 14.0, 3.0, 13.0, 4.0, 0.0, 0.0, 0.0, 0.0, 3.0, 15.0, 13.0, 1.0, 0.0, 0.0], [0.0, 0.0, 5.0, 13.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 14.0, 14.0, 5.0, 0.0, 0.0, 0.0, 0.0, 12.0, 7.0, 8.0, 16.0, 1.0, 0.0, 0.0, 0.0, 4.0, 13.0, 16.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 6.0, 0.0, 0.0, 0.0, 2.0, 7.0, 8.0, 16.0, 4.0, 0.0, 0.0, 0.0, 6.0, 12.0, 13.0, 10.0, 0.0, 0.0], [0.0, 0.0, 5.0, 14.0, 10.0, 7.0, 0.0, 0.0, 0.0, 0.0, 16.0, 16.0, 16.0, 16.0, 3.0, 0.0, 0.0, 3.0, 16.0, 10.0, 2.0, 16.0, 7.0, 0.0, 0.0, 7.0, 16.0, 3.0, 0.0, 12.0, 8.0, 0.0, 0.0, 8.0, 16.0, 1.0, 0.0, 12.0, 8.0, 0.0, 0.0, 7.0, 16.0, 5.0, 2.0, 16.0, 4.0, 0.0, 0.0, 2.0, 16.0, 15.0, 14.0, 13.0, 0.0, 0.0, 0.0, 0.0, 7.0, 15.0, 13.0, 2.0, 0.0, 0.0], [0.0, 0.0, 2.0, 13.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 15.0, 5.0, 0.0, 0.0, 0.0, 0.0, 1.0, 15.0, 12.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 5.0, 0.0, 0.0, 0.0, 4.0, 4.0, 6.0, 16.0, 3.0, 0.0, 0.0, 0.0, 2.0, 14.0, 16.0, 10.0, 0.0, 0.0], [0.0, 5.0, 16.0, 16.0, 16.0, 11.0, 1.0, 0.0, 0.0, 4.0, 16.0, 15.0, 10.0, 8.0, 1.0, 0.0, 0.0, 4.0, 16.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 13.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 4.0, 13.0, 16.0, 2.0, 0.0, 0.0, 0.0, 2.0, 15.0, 16.0, 9.0, 0.0, 0.0, 0.0], [0.0, 6.0, 16.0, 16.0, 16.0, 15.0, 10.0, 0.0, 0.0, 9.0, 16.0, 13.0, 8.0, 6.0, 5.0, 0.0, 0.0, 12.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 15.0, 15.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 13.0, 0.0, 0.0, 0.0, 0.0, 1.0, 5.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 11.0, 0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 5.0, 13.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 8.0, 15.0, 9.0, 1.0, 0.0, 0.0, 4.0, 16.0, 16.0, 12.0, 15.0, 11.0, 0.0, 0.0, 1.0, 15.0, 14.0, 4.0, 14.0, 11.0, 0.0, 0.0, 0.0, 5.0, 14.0, 14.0, 10.0, 1.0, 0.0], [0.0, 2.0, 15.0, 16.0, 16.0, 13.0, 2.0, 0.0, 0.0, 7.0, 16.0, 13.0, 8.0, 8.0, 3.0, 0.0, 0.0, 4.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 13.0, 11.0, 0.0, 0.0, 0.0, 0.0, 3.0, 8.0, 15.0, 8.0, 0.0, 0.0, 0.0, 0.0, 2.0, 15.0, 15.0, 1.0, 0.0, 0.0, 0.0], [0.0, 0.0, 5.0, 16.0, 15.0, 1.0, 0.0, 0.0, 0.0, 1.0, 15.0, 9.0, 10.0, 12.0, 0.0, 0.0, 0.0, 3.0, 16.0, 1.0, 0.0, 16.0, 4.0, 0.0, 0.0, 6.0, 16.0, 0.0, 0.0, 11.0, 6.0, 0.0, 0.0, 3.0, 16.0, 1.0, 0.0, 11.0, 8.0, 0.0, 0.0, 4.0, 16.0, 4.0, 3.0, 15.0, 4.0, 0.0, 0.0, 1.0, 13.0, 13.0, 13.0, 14.0, 1.0, 0.0, 0.0, 0.0, 4.0, 13.0, 14.0, 1.0, 0.0, 0.0], [0.0, 0.0, 2.0, 13.0, 8.0, 6.0, 0.0, 0.0, 0.0, 0.0, 7.0, 14.0, 14.0, 16.0, 0.0, 0.0, 0.0, 0.0, 7.0, 9.0, 3.0, 16.0, 4.0, 0.0, 0.0, 0.0, 5.0, 14.0, 15.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 3.0, 2.0, 13.0, 5.0, 0.0, 0.0, 0.0, 3.0, 0.0, 0.0, 12.0, 6.0, 0.0, 0.0, 1.0, 12.0, 6.0, 0.0, 11.0, 7.0, 0.0, 0.0, 0.0, 3.0, 12.0, 16.0, 16.0, 1.0, 0.0], [0.0, 0.0, 6.0, 15.0, 13.0, 3.0, 0.0, 0.0, 0.0, 0.0, 13.0, 14.0, 15.0, 12.0, 0.0, 0.0, 0.0, 0.0, 14.0, 11.0, 13.0, 15.0, 5.0, 0.0, 0.0, 0.0, 9.0, 16.0, 15.0, 8.0, 0.0, 0.0, 0.0, 2.0, 16.0, 16.0, 16.0, 2.0, 0.0, 0.0, 0.0, 8.0, 16.0, 2.0, 14.0, 10.0, 0.0, 0.0, 0.0, 5.0, 16.0, 9.0, 14.0, 11.0, 0.0, 0.0, 0.0, 0.0, 8.0, 14.0, 13.0, 2.0, 0.0, 0.0], [0.0, 0.0, 6.0, 15.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 11.0, 13.0, 4.0, 0.0, 0.0, 0.0, 0.0, 11.0, 7.0, 7.0, 13.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 16.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 13.0, 0.0, 0.0, 0.0, 2.0, 11.0, 0.0, 11.0, 12.0, 0.0, 0.0, 0.0, 5.0, 16.0, 14.0, 9.0, 4.0, 0.0], [0.0, 0.0, 2.0, 13.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 14.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 6.0, 14.0, 5.0, 2.0, 0.0, 0.0, 0.0, 2.0, 14.0, 12.0, 14.0, 0.0, 0.0, 0.0, 0.0, 1.0, 15.0, 13.0, 2.0, 0.0, 0.0, 0.0, 0.0, 11.0, 13.0, 14.0, 1.0, 0.0, 0.0, 0.0, 0.0, 13.0, 8.0, 10.0, 4.0, 0.0, 0.0, 0.0, 0.0, 2.0, 11.0, 16.0, 7.0, 0.0, 0.0], [0.0, 0.0, 0.0, 8.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 16.0, 0.0, 0.0, 0.0, 0.0, 1.0, 15.0, 16.0, 16.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 15.0, 16.0, 9.0, 2.0, 0.0, 0.0, 6.0, 15.0, 16.0, 16.0, 16.0, 11.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 14.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 0.0, 14.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 16.0, 8.0, 0.0, 0.0, 0.0, 1.0, 12.0, 16.0, 16.0, 8.0, 0.0, 0.0, 5.0, 14.0, 16.0, 16.0, 16.0, 5.0, 0.0, 0.0, 1.0, 4.0, 7.0, 16.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 16.0, 0.0, 0.0], [0.0, 0.0, 7.0, 16.0, 16.0, 16.0, 13.0, 0.0, 0.0, 0.0, 8.0, 9.0, 8.0, 15.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 7.0, 0.0, 0.0, 0.0, 4.0, 8.0, 12.0, 16.0, 5.0, 0.0, 0.0, 3.0, 16.0, 16.0, 16.0, 14.0, 7.0, 0.0, 0.0, 0.0, 3.0, 8.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 3.0, 0.0, 0.0, 0.0], [0.0, 0.0, 1.0, 8.0, 10.0, 15.0, 11.0, 0.0, 0.0, 2.0, 14.0, 15.0, 13.0, 16.0, 7.0, 0.0, 0.0, 0.0, 6.0, 0.0, 6.0, 14.0, 2.0, 0.0, 0.0, 0.0, 0.0, 3.0, 11.0, 12.0, 2.0, 0.0, 0.0, 0.0, 2.0, 16.0, 16.0, 15.0, 8.0, 0.0, 0.0, 0.0, 3.0, 13.0, 15.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 5.0, 0.0, 0.0, 0.0], [0.0, 1.0, 10.0, 16.0, 16.0, 11.0, 0.0, 0.0, 0.0, 5.0, 10.0, 8.0, 12.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 1.0, 10.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 12.0, 16.0, 4.0, 0.0, 0.0, 0.0, 2.0, 4.0, 9.0, 16.0, 4.0, 0.0, 0.0, 1.0, 15.0, 14.0, 11.0, 4.0, 0.0, 0.0], [0.0, 7.0, 16.0, 16.0, 16.0, 11.0, 2.0, 0.0, 0.0, 5.0, 16.0, 12.0, 8.0, 6.0, 1.0, 0.0, 0.0, 9.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 15.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 14.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 10.0, 0.0, 0.0, 0.0, 1.0, 7.0, 13.0, 16.0, 3.0, 0.0, 0.0, 0.0, 4.0, 15.0, 16.0, 6.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 0.0, 12.0, 11.0, 1.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 16.0, 7.0, 0.0, 0.0, 0.0, 1.0, 14.0, 16.0, 16.0, 7.0, 0.0, 0.0, 1.0, 14.0, 16.0, 14.0, 16.0, 8.0, 0.0, 0.0, 5.0, 12.0, 3.0, 8.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 12.0, 0.0, 0.0], [0.0, 0.0, 6.0, 15.0, 15.0, 3.0, 0.0, 0.0, 0.0, 3.0, 16.0, 14.0, 14.0, 13.0, 0.0, 0.0, 0.0, 6.0, 15.0, 2.0, 1.0, 14.0, 5.0, 0.0, 0.0, 8.0, 14.0, 2.0, 0.0, 9.0, 8.0, 0.0, 0.0, 8.0, 16.0, 4.0, 0.0, 8.0, 8.0, 0.0, 0.0, 5.0, 16.0, 6.0, 0.0, 11.0, 9.0, 0.0, 0.0, 1.0, 16.0, 16.0, 14.0, 16.0, 9.0, 0.0, 0.0, 0.0, 5.0, 14.0, 15.0, 10.0, 1.0, 0.0], [0.0, 0.0, 0.0, 10.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 14.0, 6.0, 6.0, 15.0, 0.0, 0.0, 0.0, 4.0, 16.0, 4.0, 0.0, 15.0, 3.0, 0.0, 0.0, 5.0, 15.0, 5.0, 0.0, 11.0, 5.0, 0.0, 0.0, 0.0, 12.0, 11.0, 0.0, 13.0, 5.0, 0.0, 0.0, 0.0, 8.0, 16.0, 16.0, 16.0, 3.0, 0.0, 0.0, 0.0, 1.0, 8.0, 13.0, 8.0, 0.0, 0.0], [0.0, 0.0, 7.0, 15.0, 15.0, 4.0, 0.0, 0.0, 0.0, 8.0, 16.0, 16.0, 16.0, 4.0, 0.0, 0.0, 0.0, 8.0, 15.0, 8.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 15.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 8.0, 11.0, 9.0, 0.0, 0.0, 0.0, 9.0, 16.0, 16.0, 12.0, 3.0, 0.0], [0.0, 1.0, 12.0, 14.0, 10.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 16.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0, 2.0, 15.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 15.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 14.0, 8.0, 8.0, 3.0, 0.0, 0.0, 0.0, 10.0, 15.0, 13.0, 9.0, 4.0, 0.0], [0.0, 0.0, 5.0, 16.0, 12.0, 2.0, 0.0, 0.0, 0.0, 0.0, 4.0, 11.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 11.0, 0.0, 0.0, 0.0, 0.0, 2.0, 4.0, 14.0, 14.0, 2.0, 0.0, 0.0, 0.0, 13.0, 16.0, 16.0, 10.0, 4.0, 0.0, 0.0, 0.0, 3.0, 10.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 11.0, 0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 5.0, 15.0, 13.0, 3.0, 0.0, 0.0, 0.0, 0.0, 12.0, 15.0, 12.0, 14.0, 0.0, 0.0, 0.0, 0.0, 12.0, 12.0, 14.0, 14.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 14.0, 3.0, 0.0, 0.0, 0.0, 0.0, 9.0, 14.0, 15.0, 3.0, 0.0, 0.0, 0.0, 1.0, 15.0, 5.0, 8.0, 12.0, 1.0, 0.0, 0.0, 0.0, 16.0, 4.0, 4.0, 16.0, 4.0, 0.0, 0.0, 0.0, 5.0, 16.0, 16.0, 12.0, 2.0, 0.0], [0.0, 0.0, 11.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 5.0, 13.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 15.0, 9.0, 7.0, 2.0, 0.0, 0.0, 0.0, 12.0, 14.0, 13.0, 12.0, 5.0, 0.0], [0.0, 0.0, 2.0, 15.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 16.0, 16.0, 9.0, 0.0, 0.0, 0.0, 5.0, 16.0, 9.0, 6.0, 16.0, 4.0, 0.0, 0.0, 5.0, 16.0, 3.0, 1.0, 14.0, 7.0, 0.0, 0.0, 6.0, 16.0, 4.0, 0.0, 16.0, 8.0, 0.0, 0.0, 3.0, 16.0, 12.0, 6.0, 16.0, 12.0, 0.0, 0.0, 0.0, 14.0, 16.0, 16.0, 16.0, 4.0, 0.0, 0.0, 0.0, 2.0, 13.0, 15.0, 8.0, 0.0, 0.0], [0.0, 0.0, 0.0, 1.0, 11.0, 14.0, 5.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 16.0, 5.0, 0.0, 0.0, 0.0, 10.0, 16.0, 16.0, 16.0, 1.0, 0.0, 0.0, 5.0, 16.0, 16.0, 16.0, 16.0, 0.0, 0.0, 0.0, 1.0, 5.0, 11.0, 16.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 10.0, 0.0, 0.0], [0.0, 0.0, 9.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 16.0, 15.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 14.0, 16.0, 2.0, 0.0, 0.0, 0.0, 3.0, 6.0, 12.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 6.0, 1.0, 3.0, 0.0, 0.0, 0.0, 9.0, 16.0, 13.0, 15.0, 8.0, 0.0, 0.0, 0.0, 7.0, 16.0, 16.0, 8.0, 1.0, 0.0], [0.0, 0.0, 4.0, 14.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 15.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 12.0, 8.0, 3.0, 0.0, 0.0, 0.0, 2.0, 16.0, 14.0, 8.0, 12.0, 9.0, 0.0, 0.0, 0.0, 16.0, 13.0, 4.0, 12.0, 12.0, 0.0, 0.0, 0.0, 6.0, 15.0, 16.0, 12.0, 1.0, 0.0], [0.0, 4.0, 12.0, 13.0, 13.0, 6.0, 0.0, 0.0, 0.0, 6.0, 14.0, 8.0, 13.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 9.0, 0.0, 0.0, 0.0, 1.0, 4.0, 12.0, 16.0, 8.0, 0.0, 0.0, 2.0, 13.0, 16.0, 12.0, 6.0, 0.0, 0.0], [0.0, 2.0, 15.0, 15.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 13.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 14.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 5.0, 0.0, 0.0, 1.0, 4.0, 6.0, 13.0, 15.0, 1.0, 0.0, 0.0, 3.0, 15.0, 14.0, 11.0, 2.0, 0.0, 0.0], [0.0, 0.0, 15.0, 15.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 15.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 12.0, 16.0, 13.0, 9.0, 0.0, 0.0, 7.0, 16.0, 16.0, 16.0, 10.0, 5.0, 0.0, 0.0, 1.0, 5.0, 16.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 15.0, 3.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0], [0.0, 1.0, 10.0, 15.0, 16.0, 13.0, 3.0, 0.0, 0.0, 5.0, 14.0, 5.0, 5.0, 15.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 15.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 6.0, 0.0, 0.0, 0.0, 2.0, 3.0, 13.0, 12.0, 0.0, 0.0, 0.0, 0.0, 15.0, 13.0, 7.0, 0.0, 0.0, 0.0], [0.0, 2.0, 14.0, 16.0, 14.0, 4.0, 0.0, 0.0, 0.0, 4.0, 11.0, 5.0, 13.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 15.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 13.0, 13.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 4.0, 0.0, 0.0, 0.0, 1.0, 3.0, 11.0, 15.0, 2.0, 0.0, 0.0, 1.0, 12.0, 16.0, 9.0, 2.0, 0.0, 0.0], [0.0, 0.0, 0.0, 0.0, 11.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 4.0, 15.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 12.0, 6.0, 16.0, 3.0, 0.0, 0.0, 0.0, 5.0, 15.0, 0.0, 15.0, 5.0, 3.0, 0.0, 0.0, 6.0, 16.0, 16.0, 16.0, 11.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 2.0, 0.0, 0.0], [0.0, 0.0, 0.0, 6.0, 14.0, 3.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 15.0, 2.0, 0.0, 0.0, 0.0, 0.0, 1.0, 15.0, 13.0, 2.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 16.0, 16.0, 7.0, 0.0, 0.0, 0.0, 4.0, 16.0, 14.0, 8.0, 13.0, 7.0, 0.0, 0.0, 0.0, 12.0, 16.0, 5.0, 12.0, 10.0, 0.0, 0.0, 0.0, 0.0, 8.0, 14.0, 13.0, 5.0, 0.0], [0.0, 0.0, 1.0, 14.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 10.0, 8.0, 3.0, 0.0, 0.0, 0.0, 0.0, 16.0, 13.0, 12.0, 14.0, 7.0, 0.0, 0.0, 0.0, 14.0, 9.0, 4.0, 11.0, 13.0, 0.0, 0.0, 0.0, 2.0, 12.0, 16.0, 12.0, 4.0, 0.0], [0.0, 0.0, 2.0, 14.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 12.0, 12.0, 11.0, 1.0, 0.0, 0.0, 4.0, 16.0, 14.0, 10.0, 14.0, 11.0, 0.0, 0.0, 2.0, 15.0, 10.0, 6.0, 16.0, 10.0, 0.0, 0.0, 0.0, 3.0, 15.0, 16.0, 10.0, 1.0, 0.0], [0.0, 0.0, 0.0, 2.0, 15.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0, 1.0, 14.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 16.0, 15.0, 4.0, 2.0, 0.0, 0.0, 9.0, 16.0, 16.0, 16.0, 16.0, 11.0, 0.0, 0.0, 3.0, 8.0, 8.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 15.0, 0.0, 0.0, 0.0], [0.0, 0.0, 6.0, 15.0, 5.0, 0.0, 0.0, 0.0, 0.0, 1.0, 15.0, 15.0, 15.0, 3.0, 0.0, 0.0, 0.0, 2.0, 16.0, 6.0, 11.0, 14.0, 0.0, 0.0, 0.0, 0.0, 15.0, 14.0, 15.0, 16.0, 1.0, 0.0, 0.0, 0.0, 3.0, 8.0, 10.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 4.0, 10.0, 16.0, 8.0, 0.0, 0.0, 0.0, 7.0, 12.0, 13.0, 12.0, 1.0, 0.0], [0.0, 0.0, 0.0, 0.0, 11.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 15.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 11.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 16.0, 10.0, 0.0, 0.0, 0.0, 4.0, 16.0, 12.0, 16.0, 12.0, 0.0, 0.0, 0.0, 3.0, 10.0, 3.0, 16.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 11.0, 0.0, 0.0], [0.0, 2.0, 16.0, 16.0, 16.0, 14.0, 5.0, 0.0, 0.0, 9.0, 16.0, 11.0, 6.0, 8.0, 3.0, 0.0, 0.0, 9.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 13.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 1.0, 11.0, 16.0, 6.0, 0.0, 0.0, 0.0, 4.0, 16.0, 16.0, 8.0, 0.0, 0.0, 0.0], [0.0, 0.0, 4.0, 15.0, 11.0, 1.0, 0.0, 0.0, 0.0, 2.0, 14.0, 14.0, 16.0, 8.0, 0.0, 0.0, 0.0, 8.0, 15.0, 2.0, 3.0, 13.0, 0.0, 0.0, 0.0, 4.0, 16.0, 0.0, 0.0, 12.0, 7.0, 0.0, 0.0, 7.0, 16.0, 0.0, 0.0, 12.0, 8.0, 0.0, 0.0, 3.0, 16.0, 6.0, 1.0, 14.0, 9.0, 0.0, 0.0, 0.0, 15.0, 16.0, 16.0, 16.0, 2.0, 0.0, 0.0, 0.0, 4.0, 13.0, 14.0, 6.0, 0.0, 0.0], [0.0, 0.0, 10.0, 15.0, 7.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 13.0, 11.0, 11.0, 0.0, 0.0, 0.0, 10.0, 16.0, 12.0, 15.0, 16.0, 4.0, 0.0, 0.0, 3.0, 12.0, 12.0, 14.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 4.0, 0.0, 0.0, 0.0, 4.0, 4.0, 15.0, 15.0, 0.0, 0.0, 0.0, 1.0, 12.0, 15.0, 12.0, 3.0, 0.0, 0.0], [0.0, 4.0, 16.0, 16.0, 16.0, 16.0, 5.0, 0.0, 0.0, 11.0, 16.0, 8.0, 5.0, 8.0, 3.0, 0.0, 0.0, 10.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 11.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 12.0, 1.0, 0.0, 0.0, 0.0], [0.0, 0.0, 3.0, 13.0, 12.0, 2.0, 0.0, 0.0, 0.0, 0.0, 14.0, 13.0, 15.0, 11.0, 0.0, 0.0, 0.0, 0.0, 7.0, 0.0, 8.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 12.0, 8.0, 1.0, 0.0, 0.0, 0.0, 3.0, 16.0, 11.0, 8.0, 0.0, 0.0], [0.0, 0.0, 10.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 15.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 9.0, 16.0, 8.0, 2.0, 0.0, 0.0, 0.0, 5.0, 14.0, 16.0, 11.0, 1.0, 0.0, 0.0, 0.0, 3.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 11.0, 16.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 7.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 13.0, 1.0, 0.0, 0.0], [0.0, 0.0, 5.0, 14.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 16.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 8.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 12.0, 11.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 12.0, 7.0, 0.0, 0.0], [0.0, 0.0, 2.0, 12.0, 12.0, 2.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 16.0, 9.0, 0.0, 0.0, 0.0, 3.0, 16.0, 16.0, 8.0, 15.0, 3.0, 0.0, 0.0, 6.0, 16.0, 6.0, 0.0, 13.0, 8.0, 0.0, 0.0, 8.0, 16.0, 4.0, 0.0, 15.0, 8.0, 0.0, 0.0, 5.0, 16.0, 8.0, 12.0, 16.0, 6.0, 0.0, 0.0, 0.0, 15.0, 16.0, 16.0, 15.0, 2.0, 0.0, 0.0, 0.0, 3.0, 13.0, 12.0, 3.0, 0.0, 0.0], [0.0, 0.0, 0.0, 14.0, 7.0, 0.0, 0.0, 0.0, 0.0, 1.0, 9.0, 16.0, 16.0, 3.0, 0.0, 0.0, 0.0, 4.0, 16.0, 8.0, 11.0, 11.0, 0.0, 0.0, 0.0, 3.0, 16.0, 7.0, 4.0, 16.0, 4.0, 0.0, 0.0, 8.0, 16.0, 4.0, 0.0, 16.0, 8.0, 0.0, 0.0, 5.0, 16.0, 10.0, 0.0, 13.0, 11.0, 0.0, 0.0, 0.0, 13.0, 16.0, 16.0, 16.0, 9.0, 0.0, 0.0, 0.0, 2.0, 10.0, 13.0, 6.0, 0.0, 0.0], [0.0, 0.0, 0.0, 0.0, 7.0, 14.0, 7.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 16.0, 9.0, 0.0, 0.0, 0.0, 6.0, 15.0, 16.0, 16.0, 6.0, 0.0, 0.0, 5.0, 16.0, 16.0, 16.0, 16.0, 2.0, 0.0, 0.0, 4.0, 8.0, 8.0, 16.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 1.0, 13.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 15.0, 0.0, 0.0], [0.0, 0.0, 8.0, 16.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 14.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 1.0, 12.0, 16.0, 13.0, 12.0, 1.0, 0.0, 0.0, 11.0, 16.0, 16.0, 14.0, 9.0, 0.0, 0.0, 0.0, 10.0, 16.0, 14.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 9.0, 0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 3.0, 14.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 7.0, 4.0, 2.0, 0.0, 0.0, 0.0, 4.0, 16.0, 16.0, 16.0, 16.0, 7.0, 0.0, 0.0, 1.0, 14.0, 15.0, 4.0, 11.0, 15.0, 0.0, 0.0, 0.0, 5.0, 14.0, 16.0, 12.0, 6.0, 0.0], [0.0, 2.0, 14.0, 16.0, 12.0, 6.0, 0.0, 0.0, 0.0, 1.0, 10.0, 8.0, 14.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 15.0, 2.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 2.0, 0.0, 0.0, 0.0, 7.0, 10.0, 15.0, 15.0, 2.0, 0.0, 0.0, 3.0, 13.0, 11.0, 7.0, 2.0, 0.0, 0.0], [0.0, 0.0, 10.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 16.0, 16.0, 0.0, 0.0, 0.0, 0.0, 2.0, 12.0, 9.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 16.0, 8.0, 5.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 16.0, 16.0, 2.0, 0.0], [0.0, 0.0, 0.0, 0.0, 7.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 15.0, 0.0, 0.0, 0.0, 0.0, 12.0, 16.0, 16.0, 11.0, 0.0, 0.0, 0.0, 5.0, 16.0, 6.0, 15.0, 12.0, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 12.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 15.0, 4.0, 0.0], [0.0, 0.0, 9.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 14.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 10.0, 1.0, 0.0, 0.0, 1.0, 12.0, 16.0, 16.0, 16.0, 9.0, 0.0, 0.0, 1.0, 11.0, 16.0, 11.0, 4.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 11.0, 0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 15.0, 16.0, 11.0, 3.0, 0.0, 0.0, 0.0, 0.0, 4.0, 10.0, 15.0, 15.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 11.0, 1.0, 0.0, 0.0, 0.0, 0.0, 2.0, 13.0, 16.0, 9.0, 0.0, 0.0, 0.0, 6.0, 15.0, 16.0, 12.0, 3.0, 0.0, 0.0, 0.0, 15.0, 14.0, 7.0, 1.0, 0.0, 0.0], [0.0, 0.0, 0.0, 0.0, 3.0, 15.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 16.0, 4.0, 0.0, 0.0, 0.0, 10.0, 16.0, 16.0, 16.0, 4.0, 0.0, 0.0, 4.0, 16.0, 7.0, 8.0, 16.0, 4.0, 0.0, 0.0, 1.0, 4.0, 0.0, 10.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 1.0, 0.0], [0.0, 1.0, 12.0, 12.0, 13.0, 8.0, 1.0, 0.0, 0.0, 0.0, 8.0, 9.0, 15.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 7.0, 0.0, 0.0, 0.0, 3.0, 8.0, 15.0, 13.0, 2.0, 0.0, 0.0, 2.0, 14.0, 16.0, 10.0, 1.0, 0.0, 0.0], [0.0, 0.0, 11.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 11.0, 13.0, 9.0, 0.0, 0.0, 0.0, 7.0, 16.0, 0.0, 9.0, 16.0, 0.0, 0.0, 0.0, 2.0, 15.0, 12.0, 16.0, 16.0, 3.0, 0.0, 0.0, 0.0, 5.0, 7.0, 7.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 5.0, 0.0, 0.0, 0.0, 3.0, 7.0, 16.0, 11.0, 0.0, 0.0, 0.0, 0.0, 13.0, 16.0, 11.0, 1.0, 0.0, 0.0], [0.0, 0.0, 0.0, 4.0, 14.0, 14.0, 5.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 16.0, 7.0, 0.0, 0.0, 0.0, 5.0, 15.0, 16.0, 15.0, 3.0, 0.0, 0.0, 4.0, 15.0, 16.0, 16.0, 12.0, 0.0, 0.0, 0.0, 5.0, 16.0, 16.0, 16.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 16.0, 13.0, 1.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 4.0, 14.0, 15.0, 6.0, 0.0], [0.0, 0.0, 4.0, 15.0, 16.0, 16.0, 5.0, 0.0, 0.0, 0.0, 6.0, 9.0, 11.0, 16.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 3.0, 14.0, 16.0, 10.0, 0.0, 0.0, 0.0, 7.0, 16.0, 16.0, 11.0, 3.0, 0.0, 0.0, 0.0, 8.0, 15.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 14.0, 2.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 8.0, 12.0, 1.0, 0.0, 0.0, 0.0, 0.0, 1.0, 15.0, 12.0, 1.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 16.0, 14.0, 5.0, 0.0, 0.0, 0.0, 1.0, 12.0, 16.0, 6.0, 14.0, 9.0, 0.0, 0.0, 0.0, 2.0, 16.0, 6.0, 10.0, 15.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 16.0, 11.0, 0.0], [0.0, 0.0, 0.0, 10.0, 12.0, 3.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 15.0, 14.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 10.0, 16.0, 1.0, 0.0, 0.0, 0.0, 5.0, 16.0, 16.0, 10.0, 1.0, 0.0, 0.0, 1.0, 16.0, 12.0, 16.0, 8.0, 0.0, 0.0, 0.0, 1.0, 16.0, 3.0, 4.0, 16.0, 4.0, 0.0, 0.0, 0.0, 12.0, 11.0, 4.0, 16.0, 9.0, 0.0, 0.0, 0.0, 2.0, 10.0, 14.0, 13.0, 4.0, 0.0], [0.0, 0.0, 0.0, 7.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 16.0, 2.0, 0.0, 0.0, 0.0, 2.0, 16.0, 16.0, 16.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 16.0, 16.0, 16.0, 8.0, 0.0, 0.0, 8.0, 15.0, 15.0, 14.0, 8.0, 5.0, 0.0, 0.0, 0.0, 0.0, 11.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 15.0, 1.0, 0.0, 0.0], [0.0, 2.0, 11.0, 16.0, 16.0, 8.0, 1.0, 0.0, 0.0, 2.0, 12.0, 9.0, 9.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 2.0, 15.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 16.0, 3.0, 0.0, 0.0, 0.0, 4.0, 11.0, 16.0, 8.0, 0.0, 0.0, 0.0, 3.0, 15.0, 12.0, 4.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 1.0, 16.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 16.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 16.0, 16.0, 1.0, 0.0, 0.0, 6.0, 16.0, 14.0, 16.0, 15.0, 0.0, 0.0, 0.0, 1.0, 3.0, 5.0, 16.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 15.0, 12.0, 0.0, 0.0], [0.0, 0.0, 0.0, 2.0, 15.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 16.0, 0.0, 0.0, 0.0, 0.0, 3.0, 15.0, 16.0, 16.0, 0.0, 0.0, 0.0, 0.0, 12.0, 16.0, 16.0, 16.0, 14.0, 6.0, 0.0, 0.0, 6.0, 12.0, 14.0, 16.0, 12.0, 5.0, 0.0, 0.0, 0.0, 0.0, 8.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 14.0, 1.0, 0.0, 0.0], [0.0, 0.0, 4.0, 12.0, 10.0, 1.0, 0.0, 0.0, 0.0, 3.0, 16.0, 13.0, 15.0, 10.0, 0.0, 0.0, 0.0, 5.0, 16.0, 2.0, 1.0, 14.0, 3.0, 0.0, 0.0, 8.0, 13.0, 0.0, 0.0, 10.0, 8.0, 0.0, 0.0, 8.0, 12.0, 0.0, 0.0, 8.0, 8.0, 0.0, 0.0, 8.0, 14.0, 0.0, 0.0, 11.0, 8.0, 0.0, 0.0, 3.0, 16.0, 14.0, 13.0, 16.0, 2.0, 0.0, 0.0, 0.0, 8.0, 16.0, 13.0, 5.0, 0.0, 0.0], [0.0, 3.0, 15.0, 13.0, 12.0, 8.0, 1.0, 0.0, 0.0, 4.0, 16.0, 14.0, 12.0, 12.0, 2.0, 0.0, 0.0, 0.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 15.0, 10.0, 0.0, 0.0, 0.0, 0.0, 2.0, 15.0, 16.0, 2.0, 0.0, 0.0, 0.0], [0.0, 0.0, 5.0, 11.0, 16.0, 16.0, 8.0, 0.0, 0.0, 0.0, 15.0, 14.0, 8.0, 12.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 14.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 12.0, 1.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 14.0, 9.0, 0.0, 0.0, 0.0, 0.0, 1.0, 4.0, 15.0, 9.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 11.0, 2.0, 0.0, 0.0], [0.0, 0.0, 0.0, 11.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 1.0, 15.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 12.0, 8.0, 2.0, 0.0, 0.0, 0.0, 7.0, 16.0, 16.0, 12.0, 14.0, 3.0, 0.0, 0.0, 4.0, 16.0, 8.0, 0.0, 10.0, 9.0, 0.0, 0.0, 1.0, 12.0, 15.0, 9.0, 14.0, 10.0, 0.0, 0.0, 0.0, 2.0, 10.0, 13.0, 11.0, 1.0, 0.0], [0.0, 0.0, 5.0, 15.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 16.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 13.0, 14.0, 14.0, 15.0, 0.0, 0.0, 0.0, 0.0, 3.0, 11.0, 14.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 1.0, 11.0, 16.0, 6.0, 0.0, 0.0, 0.0, 4.0, 15.0, 16.0, 10.0, 0.0, 0.0], [0.0, 0.0, 3.0, 15.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 7.0, 1.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 1.0, 6.0, 1.0, 0.0, 0.0, 0.0, 3.0, 15.0, 8.0, 12.0, 13.0, 3.0, 0.0, 0.0, 2.0, 16.0, 2.0, 0.0, 7.0, 12.0, 0.0, 0.0, 0.0, 13.0, 9.0, 4.0, 9.0, 15.0, 0.0, 0.0, 0.0, 3.0, 13.0, 16.0, 15.0, 5.0, 0.0], [0.0, 0.0, 0.0, 0.0, 10.0, 13.0, 7.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 16.0, 11.0, 0.0, 0.0, 0.0, 4.0, 14.0, 16.0, 16.0, 7.0, 0.0, 0.0, 3.0, 14.0, 16.0, 16.0, 16.0, 4.0, 0.0, 0.0, 7.0, 16.0, 16.0, 16.0, 16.0, 4.0, 0.0, 0.0, 0.0, 2.0, 13.0, 16.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 13.0, 16.0, 1.0, 0.0], [0.0, 0.0, 9.0, 15.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 16.0, 16.0, 16.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 11.0, 0.0, 0.0, 0.0, 0.0, 2.0, 7.0, 16.0, 13.0, 10.0, 0.0, 0.0, 2.0, 15.0, 16.0, 16.0, 12.0, 4.0, 0.0, 0.0, 3.0, 13.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 13.0, 0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 13.0, 16.0, 12.0, 7.0, 0.0, 0.0, 0.0, 4.0, 16.0, 15.0, 12.0, 12.0, 3.0, 0.0, 0.0, 4.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 14.0, 0.0, 0.0, 0.0, 0.0, 1.0, 9.0, 14.0, 16.0, 0.0, 0.0, 0.0, 0.0, 1.0, 13.0, 16.0, 10.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 3.0, 13.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 1.0, 15.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 16.0, 1.0, 0.0, 0.0, 0.0, 2.0, 16.0, 14.0, 16.0, 5.0, 1.0, 0.0, 0.0, 11.0, 16.0, 16.0, 16.0, 16.0, 10.0, 0.0, 0.0, 5.0, 8.0, 11.0, 16.0, 4.0, 1.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 2.0, 0.0, 0.0], [0.0, 0.0, 0.0, 0.0, 15.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 16.0, 1.0, 1.0, 0.0, 0.0, 6.0, 16.0, 16.0, 16.0, 15.0, 9.0, 0.0, 0.0, 7.0, 15.0, 16.0, 16.0, 10.0, 1.0, 0.0, 0.0, 0.0, 1.0, 7.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 15.0, 5.0, 0.0, 0.0], [0.0, 0.0, 7.0, 15.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 14.0, 15.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 9.0, 2.0, 0.0, 0.0, 5.0, 14.0, 16.0, 15.0, 11.0, 4.0, 0.0, 0.0, 5.0, 7.0, 12.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 11.0, 0.0, 0.0, 0.0, 0.0], [0.0, 2.0, 15.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 16.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 5.0, 13.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 16.0, 16.0, 14.0, 6.0, 0.0, 0.0, 1.0, 16.0, 16.0, 16.0, 12.0, 7.0, 0.0], [0.0, 0.0, 2.0, 12.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 15.0, 9.0, 1.0, 0.0, 0.0, 0.0, 6.0, 14.0, 13.0, 15.0, 3.0, 0.0, 0.0, 0.0, 1.0, 16.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 14.0, 0.0, 0.0, 0.0, 0.0, 1.0, 15.0, 9.0, 16.0, 5.0, 0.0, 0.0, 0.0, 2.0, 13.0, 13.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 1.0, 11.0, 12.0, 5.0, 0.0, 0.0], [0.0, 2.0, 15.0, 15.0, 5.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 16.0, 11.0, 0.0, 0.0, 0.0, 0.0, 9.0, 15.0, 16.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 1.0, 14.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 14.0, 14.0, 16.0, 5.0, 0.0, 0.0, 2.0, 14.0, 16.0, 13.0, 9.0, 1.0, 0.0], [0.0, 0.0, 4.0, 14.0, 16.0, 4.0, 0.0, 0.0, 0.0, 3.0, 16.0, 16.0, 16.0, 6.0, 0.0, 0.0, 0.0, 8.0, 16.0, 12.0, 16.0, 7.0, 0.0, 0.0, 0.0, 3.0, 5.0, 12.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 12.0, 5.0, 1.0, 0.0, 0.0, 0.0, 4.0, 16.0, 16.0, 15.0, 4.0, 0.0], [0.0, 3.0, 11.0, 15.0, 12.0, 7.0, 1.0, 0.0, 0.0, 4.0, 16.0, 13.0, 11.0, 9.0, 6.0, 0.0, 0.0, 4.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 12.0, 0.0, 0.0, 0.0, 0.0, 1.0, 7.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 5.0, 13.0, 6.0, 0.0, 0.0, 0.0, 0.0], [0.0, 4.0, 13.0, 9.0, 8.0, 3.0, 0.0, 0.0, 0.0, 5.0, 16.0, 14.0, 12.0, 12.0, 6.0, 0.0, 0.0, 8.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 11.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 0.0, 0.0, 0.0, 0.0, 1.0, 1.0, 12.0, 14.0, 0.0, 0.0, 0.0, 0.0, 4.0, 14.0, 14.0, 3.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 0.0, 13.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 3.0, 15.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 8.0, 15.0, 16.0, 10.0, 1.0, 0.0, 0.0, 4.0, 16.0, 14.0, 16.0, 16.0, 11.0, 0.0, 0.0, 7.0, 16.0, 13.0, 15.0, 14.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 11.0, 0.0, 0.0], [0.0, 0.0, 3.0, 14.0, 13.0, 1.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 11.0, 15.0, 1.0, 0.0, 0.0, 0.0, 2.0, 14.0, 16.0, 15.0, 2.0, 0.0, 0.0, 0.0, 6.0, 16.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 15.0, 11.0, 10.0, 12.0, 0.0, 0.0, 0.0, 1.0, 16.0, 11.0, 11.0, 15.0, 0.0, 0.0, 0.0, 0.0, 5.0, 13.0, 15.0, 7.0, 0.0, 0.0], [0.0, 0.0, 2.0, 16.0, 10.0, 1.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 16.0, 12.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 16.0, 15.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 15.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 13.0, 8.0, 9.0, 13.0, 0.0, 0.0, 0.0, 0.0, 12.0, 10.0, 7.0, 16.0, 0.0, 0.0, 0.0, 0.0, 3.0, 13.0, 15.0, 10.0, 0.0, 0.0], [0.0, 0.0, 0.0, 5.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 1.0, 15.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 16.0, 1.0, 0.0, 0.0, 0.0, 3.0, 16.0, 16.0, 15.0, 4.0, 2.0, 0.0, 0.0, 10.0, 16.0, 16.0, 16.0, 16.0, 12.0, 0.0, 0.0, 1.0, 7.0, 14.0, 13.0, 6.0, 5.0, 0.0, 0.0, 0.0, 0.0, 11.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 10.0, 0.0, 0.0, 0.0], [0.0, 0.0, 7.0, 16.0, 11.0, 1.0, 0.0, 0.0, 0.0, 1.0, 15.0, 12.0, 12.0, 12.0, 0.0, 0.0, 0.0, 2.0, 16.0, 2.0, 6.0, 16.0, 2.0, 0.0, 0.0, 1.0, 16.0, 6.0, 6.0, 16.0, 6.0, 0.0, 0.0, 0.0, 7.0, 16.0, 15.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 11.0, 0.0, 0.0, 0.0, 3.0, 3.0, 6.0, 16.0, 5.0, 0.0, 0.0, 0.0, 8.0, 16.0, 14.0, 6.0, 0.0, 0.0], [0.0, 0.0, 2.0, 14.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 15.0, 15.0, 8.0, 0.0, 0.0, 0.0, 2.0, 16.0, 7.0, 4.0, 15.0, 0.0, 0.0, 0.0, 4.0, 16.0, 4.0, 0.0, 13.0, 7.0, 0.0, 0.0, 4.0, 16.0, 1.0, 0.0, 10.0, 8.0, 0.0, 0.0, 4.0, 16.0, 5.0, 1.0, 12.0, 11.0, 0.0, 0.0, 1.0, 15.0, 14.0, 13.0, 16.0, 3.0, 0.0, 0.0, 0.0, 3.0, 12.0, 13.0, 5.0, 0.0, 0.0], [0.0, 0.0, 0.0, 12.0, 15.0, 6.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 13.0, 15.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 16.0, 12.0, 1.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 14.0, 1.0, 0.0, 0.0, 0.0, 7.0, 16.0, 15.0, 10.0, 0.0, 0.0, 0.0, 1.0, 16.0, 8.0, 2.0, 14.0, 5.0, 0.0, 0.0, 0.0, 12.0, 10.0, 4.0, 12.0, 7.0, 0.0, 0.0, 0.0, 2.0, 11.0, 16.0, 13.0, 3.0, 0.0], [0.0, 0.0, 3.0, 12.0, 5.0, 0.0, 0.0, 0.0, 0.0, 1.0, 15.0, 14.0, 16.0, 6.0, 0.0, 0.0, 0.0, 6.0, 16.0, 0.0, 6.0, 16.0, 6.0, 0.0, 0.0, 5.0, 16.0, 11.0, 14.0, 16.0, 4.0, 0.0, 0.0, 0.0, 8.0, 10.0, 12.0, 16.0, 0.0, 0.0, 0.0, 0.0, 1.0, 1.0, 7.0, 15.0, 1.0, 0.0, 0.0, 0.0, 8.0, 10.0, 10.0, 16.0, 2.0, 0.0, 0.0, 0.0, 2.0, 13.0, 14.0, 7.0, 0.0, 0.0], [0.0, 0.0, 5.0, 14.0, 15.0, 2.0, 0.0, 0.0, 0.0, 0.0, 13.0, 14.0, 9.0, 10.0, 0.0, 0.0, 0.0, 0.0, 15.0, 8.0, 2.0, 15.0, 3.0, 0.0, 0.0, 0.0, 11.0, 12.0, 9.0, 14.0, 2.0, 0.0, 0.0, 0.0, 7.0, 16.0, 14.0, 2.0, 0.0, 0.0, 0.0, 0.0, 13.0, 14.0, 16.0, 4.0, 0.0, 0.0, 0.0, 3.0, 15.0, 8.0, 14.0, 10.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 16.0, 8.0, 0.0, 0.0], [0.0, 0.0, 4.0, 11.0, 15.0, 8.0, 0.0, 0.0, 0.0, 0.0, 13.0, 16.0, 11.0, 13.0, 7.0, 0.0, 0.0, 3.0, 16.0, 12.0, 0.0, 4.0, 8.0, 0.0, 0.0, 6.0, 16.0, 5.0, 0.0, 4.0, 8.0, 0.0, 0.0, 7.0, 9.0, 0.0, 0.0, 9.0, 7.0, 0.0, 0.0, 4.0, 10.0, 0.0, 2.0, 15.0, 2.0, 0.0, 0.0, 1.0, 16.0, 12.0, 14.0, 10.0, 0.0, 0.0, 0.0, 0.0, 4.0, 14.0, 14.0, 1.0, 0.0, 0.0], [0.0, 0.0, 0.0, 13.0, 15.0, 8.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 14.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 16.0, 15.0, 2.0, 0.0, 0.0, 0.0, 0.0, 1.0, 13.0, 16.0, 4.0, 0.0, 0.0], [0.0, 0.0, 6.0, 14.0, 8.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 10.0, 14.0, 4.0, 0.0, 0.0, 0.0, 11.0, 5.0, 0.0, 11.0, 4.0, 0.0, 0.0, 0.0, 4.0, 6.0, 2.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 10.0, 8.0, 8.0, 4.0, 0.0, 0.0, 0.0, 7.0, 14.0, 14.0, 14.0, 13.0, 0.0], [0.0, 0.0, 10.0, 16.0, 10.0, 1.0, 0.0, 0.0, 0.0, 6.0, 14.0, 6.0, 16.0, 3.0, 0.0, 0.0, 0.0, 5.0, 4.0, 5.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 14.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 11.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 8.0, 0.0, 0.0, 0.0, 9.0, 8.0, 8.0, 15.0, 6.0, 0.0, 0.0, 0.0, 9.0, 15.0, 15.0, 9.0, 0.0, 0.0], [0.0, 0.0, 0.0, 12.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 15.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 5.0, 0.0, 4.0, 4.0, 0.0, 0.0, 4.0, 15.0, 2.0, 3.0, 15.0, 9.0, 0.0, 0.0, 2.0, 15.0, 16.0, 16.0, 16.0, 4.0, 0.0, 0.0, 0.0, 2.0, 8.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 9.0, 0.0, 0.0, 0.0], [0.0, 0.0, 6.0, 8.0, 12.0, 14.0, 0.0, 0.0, 0.0, 5.0, 16.0, 15.0, 12.0, 7.0, 0.0, 0.0, 0.0, 8.0, 16.0, 13.0, 4.0, 0.0, 0.0, 0.0, 0.0, 2.0, 11.0, 8.0, 14.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 5.0, 0.0, 0.0, 1.0, 9.0, 8.0, 12.0, 14.0, 1.0, 0.0, 0.0, 0.0, 10.0, 15.0, 12.0, 3.0, 0.0, 0.0], [0.0, 0.0, 3.0, 13.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 15.0, 2.0, 0.0, 0.0, 0.0, 0.0, 2.0, 15.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 14.0, 14.0, 16.0, 13.0, 2.0, 0.0, 0.0, 3.0, 16.0, 9.0, 1.0, 4.0, 12.0, 0.0, 0.0, 0.0, 14.0, 10.0, 5.0, 11.0, 11.0, 0.0, 0.0, 0.0, 3.0, 13.0, 15.0, 8.0, 0.0, 0.0], [0.0, 0.0, 6.0, 16.0, 16.0, 16.0, 16.0, 10.0, 0.0, 0.0, 6.0, 10.0, 8.0, 14.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 8.0, 0.0, 0.0, 0.0, 2.0, 10.0, 14.0, 15.0, 6.0, 0.0, 0.0, 0.0, 6.0, 16.0, 16.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 15.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 13.0, 1.0, 0.0, 0.0, 0.0], [0.0, 0.0, 1.0, 10.0, 13.0, 13.0, 1.0, 0.0, 0.0, 1.0, 13.0, 10.0, 4.0, 14.0, 4.0, 0.0, 0.0, 8.0, 13.0, 0.0, 7.0, 12.0, 0.0, 0.0, 0.0, 2.0, 12.0, 14.0, 15.0, 2.0, 0.0, 0.0, 0.0, 0.0, 5.0, 15.0, 15.0, 2.0, 0.0, 0.0, 0.0, 0.0, 8.0, 7.0, 3.0, 13.0, 3.0, 0.0, 0.0, 0.0, 8.0, 8.0, 0.0, 13.0, 4.0, 0.0, 0.0, 0.0, 1.0, 11.0, 16.0, 16.0, 2.0, 0.0], [0.0, 0.0, 6.0, 12.0, 13.0, 5.0, 0.0, 0.0, 0.0, 2.0, 16.0, 9.0, 8.0, 15.0, 2.0, 0.0, 0.0, 8.0, 12.0, 0.0, 3.0, 15.0, 8.0, 0.0, 0.0, 4.0, 15.0, 12.0, 16.0, 13.0, 1.0, 0.0, 0.0, 0.0, 2.0, 2.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 14.0, 0.0, 0.0, 0.0], [0.0, 0.0, 4.0, 13.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 16.0, 15.0, 7.0, 0.0, 0.0, 0.0, 3.0, 16.0, 9.0, 6.0, 15.0, 6.0, 0.0, 0.0, 8.0, 14.0, 0.0, 0.0, 4.0, 8.0, 0.0, 0.0, 8.0, 12.0, 0.0, 0.0, 4.0, 8.0, 0.0, 0.0, 4.0, 12.0, 0.0, 0.0, 11.0, 6.0, 0.0, 0.0, 0.0, 14.0, 10.0, 12.0, 14.0, 1.0, 0.0, 0.0, 0.0, 7.0, 15.0, 11.0, 2.0, 0.0, 0.0], [0.0, 0.0, 0.0, 0.0, 14.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 12.0, 16.0, 16.0, 4.0, 0.0, 0.0, 0.0, 1.0, 13.0, 12.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 10.0, 0.0, 0.0], [0.0, 0.0, 10.0, 16.0, 11.0, 0.0, 0.0, 0.0, 0.0, 8.0, 15.0, 10.0, 15.0, 2.0, 0.0, 0.0, 0.0, 11.0, 11.0, 2.0, 16.0, 5.0, 0.0, 0.0, 0.0, 7.0, 5.0, 6.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 1.0, 15.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 14.0, 8.0, 10.0, 5.0, 0.0, 0.0, 0.0, 12.0, 16.0, 16.0, 16.0, 15.0, 0.0], [0.0, 0.0, 6.0, 15.0, 16.0, 10.0, 0.0, 0.0, 0.0, 3.0, 16.0, 11.0, 15.0, 10.0, 0.0, 0.0, 0.0, 4.0, 10.0, 10.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 15.0, 3.0, 0.0, 0.0, 0.0, 0.0, 1.0, 9.0, 16.0, 15.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 6.0, 0.0, 0.0, 0.0, 3.0, 9.0, 12.0, 16.0, 5.0, 0.0, 0.0, 0.0, 9.0, 16.0, 16.0, 8.0, 0.0, 0.0], [0.0, 0.0, 0.0, 13.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 15.0, 1.0, 1.0, 4.0, 0.0, 0.0, 6.0, 16.0, 10.0, 9.0, 15.0, 14.0, 0.0, 0.0, 9.0, 16.0, 16.0, 16.0, 16.0, 4.0, 0.0, 0.0, 2.0, 8.0, 12.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 15.0, 1.0, 0.0, 0.0], [0.0, 0.0, 15.0, 16.0, 16.0, 15.0, 9.0, 0.0, 0.0, 6.0, 16.0, 13.0, 12.0, 12.0, 11.0, 2.0, 0.0, 3.0, 15.0, 14.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 8.0, 0.0, 0.0, 0.0, 0.0, 1.0, 14.0, 14.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 16.0, 3.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 13.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 15.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 3.0, 0.0, 2.0, 0.0, 0.0, 0.0, 0.0, 16.0, 13.0, 16.0, 16.0, 6.0, 0.0, 0.0, 1.0, 16.0, 11.0, 4.0, 7.0, 12.0, 0.0, 0.0, 0.0, 11.0, 12.0, 5.0, 13.0, 9.0, 0.0, 0.0, 0.0, 1.0, 12.0, 15.0, 11.0, 2.0, 0.0], [0.0, 0.0, 4.0, 12.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 15.0, 12.0, 12.0, 11.0, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 9.0, 7.0, 0.0, 0.0, 0.0, 0.0, 4.0, 7.0, 15.0, 13.0, 7.0, 0.0, 0.0, 6.0, 16.0, 16.0, 15.0, 10.0, 3.0, 0.0, 0.0, 1.0, 4.0, 12.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 12.0, 0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 2.0, 12.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 12.0, 7.0, 1.0, 13.0, 4.0, 0.0, 0.0, 3.0, 16.0, 0.0, 8.0, 12.0, 0.0, 0.0, 0.0, 4.0, 16.0, 11.0, 14.0, 1.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 12.0, 15.0, 2.0, 0.0, 0.0, 0.0, 0.0, 8.0, 7.0, 13.0, 4.0, 0.0, 0.0, 0.0, 0.0, 3.0, 13.0, 16.0, 3.0, 0.0, 0.0], [0.0, 0.0, 4.0, 14.0, 16.0, 15.0, 1.0, 0.0, 0.0, 5.0, 16.0, 8.0, 4.0, 16.0, 7.0, 0.0, 0.0, 8.0, 13.0, 0.0, 4.0, 16.0, 12.0, 0.0, 0.0, 7.0, 16.0, 15.0, 16.0, 13.0, 3.0, 0.0, 0.0, 0.0, 6.0, 12.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 2.0, 0.0, 0.0, 0.0], [0.0, 0.0, 5.0, 15.0, 12.0, 8.0, 0.0, 0.0, 0.0, 0.0, 13.0, 16.0, 10.0, 13.0, 3.0, 0.0, 0.0, 5.0, 16.0, 9.0, 0.0, 8.0, 4.0, 0.0, 0.0, 4.0, 13.0, 1.0, 0.0, 4.0, 8.0, 0.0, 0.0, 4.0, 8.0, 0.0, 0.0, 8.0, 4.0, 0.0, 0.0, 1.0, 14.0, 0.0, 0.0, 11.0, 3.0, 0.0, 0.0, 0.0, 12.0, 9.0, 9.0, 15.0, 0.0, 0.0, 0.0, 0.0, 4.0, 14.0, 15.0, 4.0, 0.0, 0.0], [0.0, 0.0, 0.0, 4.0, 13.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 16.0, 1.0, 0.0, 0.0, 0.0, 3.0, 14.0, 16.0, 13.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 16.0, 5.0, 0.0, 0.0, 0.0, 3.0, 15.0, 16.0, 16.0, 4.0, 0.0, 0.0, 0.0, 4.0, 16.0, 16.0, 16.0, 6.0, 0.0, 0.0, 0.0, 2.0, 8.0, 15.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 14.0, 12.0, 0.0, 0.0], [0.0, 1.0, 13.0, 16.0, 16.0, 4.0, 0.0, 0.0, 0.0, 9.0, 15.0, 6.0, 13.0, 8.0, 0.0, 0.0, 0.0, 5.0, 10.0, 0.0, 12.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 13.0, 8.0, 8.0, 5.0, 0.0, 0.0, 1.0, 10.0, 14.0, 16.0, 16.0, 16.0, 0.0], [0.0, 0.0, 8.0, 14.0, 14.0, 4.0, 0.0, 0.0, 0.0, 5.0, 12.0, 4.0, 7.0, 12.0, 0.0, 0.0, 0.0, 4.0, 2.0, 3.0, 13.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 9.0, 14.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 8.0, 0.0, 0.0, 0.0, 3.0, 4.0, 4.0, 13.0, 7.0, 0.0, 0.0, 0.0, 11.0, 16.0, 15.0, 5.0, 0.0, 0.0], [0.0, 0.0, 1.0, 11.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 5.0, 0.0, 1.0, 2.0, 0.0, 0.0, 6.0, 16.0, 2.0, 1.0, 13.0, 10.0, 0.0, 0.0, 7.0, 16.0, 9.0, 15.0, 13.0, 0.0, 0.0, 0.0, 2.0, 9.0, 12.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 7.0, 0.0, 0.0, 0.0], [0.0, 0.0, 11.0, 7.0, 12.0, 15.0, 1.0, 0.0, 0.0, 1.0, 16.0, 14.0, 9.0, 6.0, 0.0, 0.0, 0.0, 8.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 14.0, 15.0, 15.0, 5.0, 0.0, 0.0, 0.0, 1.0, 6.0, 4.0, 10.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 11.0, 0.0, 0.0, 0.0, 0.0, 10.0, 4.0, 13.0, 8.0, 0.0, 0.0, 0.0, 0.0, 12.0, 16.0, 10.0, 1.0, 0.0, 0.0], [0.0, 0.0, 4.0, 12.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 12.0, 7.0, 12.0, 6.0, 2.0, 0.0, 0.0, 4.0, 15.0, 15.0, 12.0, 13.0, 11.0, 0.0, 0.0, 1.0, 13.0, 16.0, 5.0, 11.0, 12.0, 0.0, 0.0, 0.0, 5.0, 13.0, 16.0, 11.0, 1.0, 0.0], [0.0, 0.0, 4.0, 13.0, 16.0, 16.0, 16.0, 10.0, 0.0, 0.0, 11.0, 15.0, 12.0, 13.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 11.0, 0.0, 0.0, 0.0, 1.0, 0.0, 5.0, 15.0, 2.0, 0.0, 0.0, 0.0, 14.0, 13.0, 15.0, 15.0, 6.0, 0.0, 0.0, 0.0, 15.0, 16.0, 15.0, 9.0, 2.0, 0.0, 0.0, 0.0, 1.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 14.0, 2.0, 0.0, 0.0, 0.0], [0.0, 0.0, 2.0, 11.0, 16.0, 12.0, 2.0, 0.0, 0.0, 0.0, 11.0, 7.0, 4.0, 7.0, 8.0, 0.0, 0.0, 5.0, 14.0, 4.0, 0.0, 8.0, 4.0, 0.0, 0.0, 2.0, 15.0, 9.0, 6.0, 11.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 13.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 10.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 2.0, 12.0, 16.0, 3.0, 0.0, 0.0], [0.0, 0.0, 9.0, 16.0, 12.0, 2.0, 0.0, 0.0, 0.0, 0.0, 16.0, 3.0, 5.0, 10.0, 0.0, 0.0, 0.0, 0.0, 13.0, 4.0, 14.0, 16.0, 4.0, 0.0, 0.0, 0.0, 4.0, 16.0, 16.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 3.0, 4.0, 10.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 6.0, 0.0, 0.0, 0.0, 12.0, 1.0, 1.0, 13.0, 3.0, 0.0, 0.0, 0.0, 8.0, 15.0, 16.0, 9.0, 0.0, 0.0], [0.0, 0.0, 2.0, 12.0, 15.0, 12.0, 1.0, 0.0, 0.0, 1.0, 14.0, 14.0, 14.0, 11.0, 8.0, 0.0, 0.0, 5.0, 16.0, 3.0, 0.0, 2.0, 8.0, 0.0, 0.0, 8.0, 14.0, 0.0, 0.0, 6.0, 8.0, 0.0, 0.0, 4.0, 12.0, 0.0, 0.0, 9.0, 4.0, 0.0, 0.0, 1.0, 16.0, 1.0, 1.0, 14.0, 1.0, 0.0, 0.0, 0.0, 11.0, 9.0, 11.0, 8.0, 0.0, 0.0, 0.0, 0.0, 2.0, 13.0, 14.0, 1.0, 0.0, 0.0], [0.0, 0.0, 3.0, 11.0, 13.0, 5.0, 0.0, 0.0, 0.0, 0.0, 10.0, 12.0, 5.0, 16.0, 0.0, 0.0, 0.0, 0.0, 7.0, 10.0, 6.0, 15.0, 4.0, 0.0, 0.0, 0.0, 2.0, 13.0, 16.0, 14.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 11.0, 0.0, 0.0, 0.0, 9.0, 7.0, 0.0, 8.0, 11.0, 0.0, 0.0, 0.0, 3.0, 9.0, 16.0, 16.0, 6.0, 0.0], [0.0, 0.0, 6.0, 8.0, 8.0, 13.0, 3.0, 0.0, 0.0, 1.0, 14.0, 14.0, 12.0, 9.0, 3.0, 0.0, 0.0, 4.0, 16.0, 8.0, 2.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 13.0, 15.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 15.0, 0.0, 0.0, 0.0, 0.0, 6.0, 8.0, 13.0, 8.0, 0.0, 0.0, 0.0, 0.0, 9.0, 15.0, 8.0, 0.0, 0.0, 0.0], [0.0, 0.0, 3.0, 8.0, 9.0, 9.0, 0.0, 0.0, 0.0, 6.0, 16.0, 12.0, 8.0, 5.0, 0.0, 0.0, 0.0, 11.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 10.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 8.0, 13.0, 10.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 7.0, 0.0, 0.0, 0.0, 5.0, 2.0, 4.0, 13.0, 8.0, 0.0, 0.0, 0.0, 7.0, 16.0, 14.0, 8.0, 0.0, 0.0], [0.0, 0.0, 0.0, 8.0, 15.0, 2.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 12.0, 16.0, 14.0, 0.0, 0.0, 0.0, 0.0, 14.0, 15.0, 6.0, 8.0, 11.0, 0.0, 0.0, 3.0, 12.0, 14.0, 5.0, 10.0, 13.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 13.0, 5.0, 0.0], [0.0, 1.0, 5.0, 11.0, 15.0, 4.0, 0.0, 0.0, 0.0, 8.0, 16.0, 13.0, 6.0, 2.0, 0.0, 0.0, 0.0, 11.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 16.0, 11.0, 2.0, 0.0, 0.0, 0.0, 0.0, 4.0, 4.0, 5.0, 12.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 11.0, 0.0, 0.0, 0.0, 1.0, 6.0, 0.0, 10.0, 11.0, 0.0, 0.0, 0.0, 2.0, 12.0, 16.0, 15.0, 2.0, 0.0], [0.0, 0.0, 9.0, 16.0, 15.0, 14.0, 1.0, 0.0, 0.0, 1.0, 15.0, 15.0, 5.0, 10.0, 7.0, 0.0, 0.0, 6.0, 16.0, 1.0, 0.0, 1.0, 8.0, 0.0, 0.0, 8.0, 13.0, 0.0, 0.0, 4.0, 8.0, 0.0, 0.0, 7.0, 6.0, 0.0, 0.0, 6.0, 6.0, 0.0, 0.0, 5.0, 9.0, 0.0, 0.0, 13.0, 1.0, 0.0, 0.0, 0.0, 16.0, 5.0, 12.0, 12.0, 0.0, 0.0, 0.0, 0.0, 8.0, 15.0, 10.0, 1.0, 0.0, 0.0], [0.0, 0.0, 7.0, 13.0, 16.0, 7.0, 0.0, 0.0, 0.0, 2.0, 16.0, 6.0, 5.0, 12.0, 1.0, 0.0, 0.0, 4.0, 12.0, 0.0, 1.0, 16.0, 4.0, 0.0, 0.0, 1.0, 12.0, 12.0, 13.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 4.0, 8.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 13.0, 0.0, 0.0, 0.0, 0.0, 8.0, 3.0, 10.0, 10.0, 0.0, 0.0, 0.0, 0.0, 6.0, 15.0, 15.0, 3.0, 0.0, 0.0], [0.0, 0.0, 4.0, 15.0, 14.0, 10.0, 1.0, 0.0, 0.0, 0.0, 7.0, 9.0, 0.0, 9.0, 8.0, 0.0, 0.0, 0.0, 11.0, 9.0, 2.0, 13.0, 7.0, 0.0, 0.0, 0.0, 4.0, 15.0, 14.0, 4.0, 0.0, 0.0, 0.0, 0.0, 6.0, 15.0, 15.0, 1.0, 0.0, 0.0, 0.0, 4.0, 14.0, 1.0, 13.0, 7.0, 0.0, 0.0, 0.0, 7.0, 13.0, 1.0, 5.0, 13.0, 0.0, 0.0, 0.0, 0.0, 7.0, 14.0, 16.0, 16.0, 1.0, 0.0], [0.0, 0.0, 4.0, 12.0, 16.0, 12.0, 0.0, 0.0, 0.0, 5.0, 16.0, 8.0, 4.0, 12.0, 2.0, 0.0, 0.0, 12.0, 6.0, 0.0, 0.0, 13.0, 4.0, 0.0, 0.0, 6.0, 16.0, 13.0, 16.0, 16.0, 7.0, 0.0, 0.0, 0.0, 3.0, 4.0, 1.0, 8.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 12.0, 0.0, 0.0, 0.0, 8.0, 9.0, 2.0, 9.0, 9.0, 0.0, 0.0, 0.0, 2.0, 13.0, 16.0, 15.0, 3.0, 0.0], [0.0, 0.0, 5.0, 12.0, 15.0, 10.0, 1.0, 0.0, 0.0, 2.0, 14.0, 7.0, 4.0, 9.0, 7.0, 0.0, 0.0, 7.0, 15.0, 7.0, 0.0, 9.0, 8.0, 0.0, 0.0, 1.0, 5.0, 15.0, 11.0, 13.0, 3.0, 0.0, 0.0, 0.0, 3.0, 15.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 15.0, 9.0, 12.0, 7.0, 0.0, 0.0, 0.0, 0.0, 15.0, 5.0, 8.0, 12.0, 0.0, 0.0, 0.0, 0.0, 4.0, 14.0, 16.0, 11.0, 0.0, 0.0], [0.0, 0.0, 0.0, 7.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 15.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 11.0, 0.0, 2.0, 2.0, 0.0, 0.0, 5.0, 14.0, 2.0, 1.0, 13.0, 7.0, 0.0, 0.0, 7.0, 15.0, 2.0, 8.0, 16.0, 3.0, 0.0, 0.0, 3.0, 14.0, 16.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 2.0, 0.0, 0.0], [0.0, 0.0, 7.0, 12.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 16.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 16.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 16.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 16.0, 16.0, 0.0, 0.0, 0.0, 0.0, 1.0, 14.0, 16.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 4.0, 12.0, 12.0, 9.0, 0.0, 0.0], [0.0, 0.0, 6.0, 16.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 14.0, 9.0, 12.0, 11.0, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 9.0, 6.0, 0.0, 0.0, 0.0, 0.0, 1.0, 6.0, 16.0, 10.0, 6.0, 0.0, 0.0, 0.0, 10.0, 16.0, 14.0, 11.0, 5.0, 0.0, 0.0, 0.0, 5.0, 15.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 8.0, 0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 1.0, 11.0, 16.0, 16.0, 10.0, 0.0, 0.0, 0.0, 13.0, 14.0, 8.0, 12.0, 11.0, 0.0, 0.0, 0.0, 4.0, 0.0, 0.0, 13.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 15.0, 0.0, 0.0, 0.0, 0.0, 2.0, 15.0, 16.0, 16.0, 9.0, 0.0, 0.0, 0.0, 3.0, 13.0, 16.0, 8.0, 1.0, 0.0, 0.0, 0.0, 0.0, 7.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 3.0, 0.0, 0.0, 0.0], [0.0, 0.0, 7.0, 15.0, 16.0, 12.0, 0.0, 0.0, 0.0, 4.0, 16.0, 11.0, 12.0, 12.0, 0.0, 0.0, 0.0, 2.0, 7.0, 1.0, 13.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 15.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 15.0, 8.0, 0.0, 0.0, 0.0, 5.0, 16.0, 12.0, 15.0, 8.0, 0.0, 0.0, 0.0, 7.0, 16.0, 16.0, 13.0, 2.0, 0.0], [0.0, 0.0, 6.0, 14.0, 14.0, 13.0, 11.0, 0.0, 0.0, 0.0, 14.0, 12.0, 5.0, 4.0, 2.0, 0.0, 0.0, 3.0, 16.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 2.0, 11.0, 11.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 11.0, 0.0, 0.0, 0.0, 0.0, 3.0, 7.0, 12.0, 8.0, 0.0, 0.0, 0.0, 0.0, 7.0, 14.0, 11.0, 1.0, 0.0, 0.0], [0.0, 0.0, 0.0, 10.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 16.0, 14.0, 0.0, 0.0, 0.0, 0.0, 1.0, 5.0, 7.0, 15.0, 8.0, 0.0], [0.0, 0.0, 2.0, 13.0, 10.0, 3.0, 0.0, 0.0, 0.0, 0.0, 10.0, 15.0, 12.0, 13.0, 1.0, 0.0, 0.0, 0.0, 16.0, 4.0, 0.0, 6.0, 4.0, 0.0, 0.0, 2.0, 16.0, 3.0, 0.0, 1.0, 7.0, 0.0, 0.0, 5.0, 13.0, 5.0, 0.0, 2.0, 8.0, 0.0, 0.0, 4.0, 12.0, 0.0, 0.0, 3.0, 8.0, 0.0, 0.0, 0.0, 13.0, 5.0, 6.0, 13.0, 5.0, 0.0, 0.0, 0.0, 5.0, 14.0, 13.0, 8.0, 1.0, 0.0], [0.0, 0.0, 5.0, 13.0, 13.0, 5.0, 0.0, 0.0, 0.0, 0.0, 16.0, 16.0, 10.0, 15.0, 3.0, 0.0, 0.0, 5.0, 16.0, 2.0, 1.0, 8.0, 4.0, 0.0, 0.0, 4.0, 13.0, 0.0, 0.0, 4.0, 8.0, 0.0, 0.0, 8.0, 12.0, 0.0, 0.0, 6.0, 7.0, 0.0, 0.0, 5.0, 15.0, 0.0, 0.0, 7.0, 7.0, 0.0, 0.0, 0.0, 16.0, 8.0, 5.0, 15.0, 3.0, 0.0, 0.0, 0.0, 5.0, 14.0, 15.0, 9.0, 0.0, 0.0], [0.0, 2.0, 15.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 10.0, 15.0, 10.0, 16.0, 2.0, 0.0, 0.0, 0.0, 9.0, 11.0, 5.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 3.0, 15.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 15.0, 5.0, 5.0, 8.0, 3.0, 0.0, 0.0, 3.0, 15.0, 16.0, 16.0, 16.0, 10.0, 0.0], [0.0, 0.0, 5.0, 15.0, 15.0, 2.0, 0.0, 0.0, 0.0, 3.0, 16.0, 9.0, 16.0, 5.0, 0.0, 0.0, 0.0, 5.0, 9.0, 1.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 14.0, 7.0, 6.0, 2.0, 0.0, 0.0, 0.0, 6.0, 16.0, 16.0, 15.0, 2.0, 0.0], [0.0, 0.0, 3.0, 11.0, 16.0, 16.0, 4.0, 0.0, 0.0, 0.0, 9.0, 12.0, 12.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 9.0, 14.0, 16.0, 9.0, 0.0, 0.0, 0.0, 1.0, 16.0, 16.0, 14.0, 5.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 15.0, 7.0, 0.0, 0.0, 0.0], [0.0, 0.0, 4.0, 13.0, 16.0, 14.0, 2.0, 0.0, 0.0, 2.0, 15.0, 5.0, 4.0, 14.0, 4.0, 0.0, 0.0, 8.0, 15.0, 6.0, 1.0, 15.0, 1.0, 0.0, 0.0, 4.0, 16.0, 16.0, 13.0, 10.0, 0.0, 0.0, 0.0, 0.0, 1.0, 9.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 4.0, 14.0, 3.0, 14.0, 6.0, 0.0, 0.0, 0.0, 9.0, 10.0, 3.0, 13.0, 8.0, 0.0, 0.0, 0.0, 3.0, 15.0, 16.0, 11.0, 1.0, 0.0], [0.0, 0.0, 7.0, 16.0, 16.0, 3.0, 0.0, 0.0, 0.0, 7.0, 16.0, 9.0, 14.0, 7.0, 0.0, 0.0, 0.0, 10.0, 9.0, 0.0, 14.0, 5.0, 0.0, 0.0, 0.0, 3.0, 3.0, 4.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 15.0, 8.0, 8.0, 3.0, 0.0, 0.0, 0.0, 10.0, 16.0, 16.0, 16.0, 9.0, 0.0], [0.0, 0.0, 4.0, 13.0, 11.0, 7.0, 0.0, 0.0, 0.0, 0.0, 14.0, 16.0, 13.0, 16.0, 2.0, 0.0, 0.0, 5.0, 16.0, 4.0, 0.0, 5.0, 7.0, 0.0, 0.0, 8.0, 14.0, 0.0, 0.0, 4.0, 8.0, 0.0, 0.0, 6.0, 9.0, 0.0, 0.0, 4.0, 8.0, 0.0, 0.0, 2.0, 14.0, 1.0, 0.0, 8.0, 6.0, 0.0, 0.0, 0.0, 13.0, 12.0, 9.0, 15.0, 2.0, 0.0, 0.0, 0.0, 3.0, 16.0, 12.0, 5.0, 0.0, 0.0], [0.0, 0.0, 0.0, 0.0, 11.0, 14.0, 3.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 14.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 16.0, 15.0, 0.0, 0.0, 0.0, 1.0, 13.0, 16.0, 16.0, 13.0, 0.0, 0.0, 0.0, 6.0, 16.0, 9.0, 15.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 14.0, 1.0, 0.0], [0.0, 2.0, 11.0, 16.0, 12.0, 1.0, 0.0, 0.0, 0.0, 9.0, 16.0, 9.0, 16.0, 4.0, 0.0, 0.0, 0.0, 14.0, 7.0, 4.0, 16.0, 1.0, 0.0, 0.0, 0.0, 6.0, 5.0, 9.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 11.0, 8.0, 12.0, 9.0, 0.0, 0.0, 2.0, 15.0, 16.0, 16.0, 13.0, 16.0, 1.0], [0.0, 0.0, 3.0, 12.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 14.0, 2.0, 0.0, 0.0, 0.0, 0.0, 3.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 5.0, 3.0, 0.0, 0.0, 0.0, 4.0, 10.0, 16.0, 16.0, 16.0, 4.0, 0.0, 0.0, 6.0, 16.0, 4.0, 0.0, 8.0, 9.0, 0.0, 0.0, 0.0, 15.0, 12.0, 4.0, 9.0, 12.0, 0.0, 0.0, 0.0, 2.0, 13.0, 16.0, 14.0, 4.0, 0.0], [0.0, 2.0, 11.0, 16.0, 15.0, 2.0, 0.0, 0.0, 0.0, 12.0, 15.0, 12.0, 16.0, 4.0, 0.0, 0.0, 0.0, 3.0, 3.0, 6.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 2.0, 15.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 16.0, 12.0, 1.0, 0.0, 0.0, 0.0, 0.0, 1.0, 6.0, 15.0, 10.0, 0.0, 0.0, 0.0, 6.0, 12.0, 8.0, 14.0, 11.0, 0.0, 0.0, 1.0, 16.0, 16.0, 16.0, 11.0, 3.0, 0.0], [0.0, 0.0, 7.0, 14.0, 16.0, 11.0, 0.0, 0.0, 0.0, 2.0, 16.0, 11.0, 11.0, 16.0, 2.0, 0.0, 0.0, 0.0, 3.0, 3.0, 15.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 14.0, 15.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 6.0, 0.0, 0.0, 0.0, 3.0, 12.0, 13.0, 15.0, 2.0, 0.0, 0.0, 0.0, 6.0, 16.0, 12.0, 5.0, 0.0, 0.0], [0.0, 0.0, 5.0, 16.0, 16.0, 16.0, 16.0, 11.0, 0.0, 0.0, 6.0, 9.0, 5.0, 5.0, 15.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 11.0, 1.0, 0.0, 0.0, 0.0, 3.0, 6.0, 16.0, 3.0, 0.0, 0.0, 0.0, 5.0, 16.0, 16.0, 16.0, 7.0, 0.0, 0.0, 0.0, 4.0, 8.0, 16.0, 4.0, 1.0, 0.0, 0.0, 0.0, 1.0, 13.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 2.0, 0.0, 0.0, 0.0], [0.0, 2.0, 13.0, 16.0, 16.0, 11.0, 0.0, 0.0, 0.0, 10.0, 11.0, 4.0, 12.0, 12.0, 0.0, 0.0, 0.0, 1.0, 1.0, 4.0, 14.0, 8.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 9.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 12.0, 0.0, 0.0, 0.0, 5.0, 9.0, 10.0, 16.0, 9.0, 0.0, 0.0, 0.0, 15.0, 16.0, 13.0, 7.0, 0.0, 0.0], [0.0, 1.0, 10.0, 16.0, 16.0, 6.0, 0.0, 0.0, 0.0, 7.0, 14.0, 9.0, 12.0, 12.0, 0.0, 0.0, 0.0, 1.0, 1.0, 5.0, 15.0, 5.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 14.0, 3.0, 0.0, 0.0, 0.0, 0.0, 1.0, 11.0, 14.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 11.0, 0.0, 0.0, 0.0, 7.0, 8.0, 13.0, 16.0, 5.0, 0.0, 0.0, 0.0, 15.0, 16.0, 12.0, 5.0, 0.0, 0.0], [0.0, 0.0, 1.0, 14.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 9.0, 0.0, 1.0, 5.0, 0.0, 0.0, 8.0, 16.0, 5.0, 1.0, 12.0, 15.0, 0.0, 0.0, 10.0, 16.0, 12.0, 11.0, 16.0, 6.0, 0.0, 0.0, 3.0, 14.0, 16.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 14.0, 0.0, 0.0, 0.0], [0.0, 0.0, 2.0, 12.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 13.0, 5.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 5.0, 10.0, 10.0, 4.0, 0.0, 0.0, 0.0, 16.0, 14.0, 8.0, 6.0, 13.0, 0.0, 0.0, 0.0, 13.0, 9.0, 2.0, 4.0, 14.0, 0.0, 0.0, 0.0, 3.0, 10.0, 16.0, 16.0, 7.0, 0.0], [0.0, 0.0, 2.0, 13.0, 13.0, 1.0, 0.0, 0.0, 0.0, 0.0, 9.0, 13.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 10.0, 9.0, 9.0, 2.0, 0.0, 0.0, 0.0, 16.0, 11.0, 8.0, 11.0, 12.0, 0.0, 0.0, 1.0, 14.0, 11.0, 1.0, 4.0, 13.0, 0.0, 0.0, 0.0, 3.0, 11.0, 16.0, 15.0, 4.0, 0.0], [0.0, 0.0, 1.0, 13.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 15.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 12.0, 15.0, 15.0, 7.0, 0.0, 0.0, 0.0, 14.0, 14.0, 6.0, 4.0, 14.0, 1.0, 0.0, 0.0, 9.0, 14.0, 3.0, 4.0, 14.0, 2.0, 0.0, 0.0, 1.0, 7.0, 14.0, 16.0, 11.0, 0.0], [0.0, 0.0, 4.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 3.0, 0.0, 7.0, 4.0, 0.0, 0.0, 12.0, 16.0, 6.0, 11.0, 16.0, 7.0, 0.0, 0.0, 7.0, 16.0, 16.0, 15.0, 3.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 6.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 9.0, 15.0, 16.0, 9.0, 0.0, 0.0, 0.0, 10.0, 13.0, 4.0, 12.0, 7.0, 0.0, 0.0, 5.0, 14.0, 1.0, 2.0, 15.0, 3.0, 0.0, 0.0, 4.0, 14.0, 12.0, 16.0, 15.0, 0.0, 0.0, 0.0, 0.0, 1.0, 1.0, 13.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 4.0, 0.0, 0.0, 0.0], [0.0, 0.0, 1.0, 15.0, 11.0, 1.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 14.0, 16.0, 3.0, 0.0, 0.0], [0.0, 0.0, 2.0, 10.0, 16.0, 4.0, 0.0, 0.0, 1.0, 10.0, 16.0, 16.0, 15.0, 4.0, 0.0, 0.0, 0.0, 16.0, 16.0, 10.0, 1.0, 0.0, 0.0, 0.0, 0.0, 15.0, 16.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 5.0, 11.0, 5.0, 15.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 9.0, 0.0, 0.0, 0.0, 0.0, 3.0, 10.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 15.0, 2.0, 0.0, 0.0], [0.0, 0.0, 5.0, 8.0, 11.0, 5.0, 0.0, 0.0, 0.0, 0.0, 13.0, 16.0, 12.0, 12.0, 0.0, 0.0, 0.0, 1.0, 16.0, 9.0, 0.0, 9.0, 3.0, 0.0, 0.0, 3.0, 16.0, 6.0, 0.0, 6.0, 6.0, 0.0, 0.0, 3.0, 11.0, 1.0, 0.0, 5.0, 6.0, 0.0, 0.0, 0.0, 12.0, 0.0, 0.0, 11.0, 6.0, 0.0, 0.0, 0.0, 14.0, 5.0, 12.0, 15.0, 1.0, 0.0, 0.0, 0.0, 6.0, 16.0, 13.0, 2.0, 0.0, 0.0], [0.0, 0.0, 3.0, 14.0, 16.0, 8.0, 0.0, 0.0, 0.0, 3.0, 15.0, 8.0, 4.0, 15.0, 1.0, 0.0, 0.0, 8.0, 10.0, 0.0, 3.0, 16.0, 8.0, 0.0, 0.0, 3.0, 15.0, 13.0, 16.0, 14.0, 1.0, 0.0, 0.0, 0.0, 2.0, 5.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 13.0, 0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 5.0, 8.0, 12.0, 16.0, 4.0, 0.0, 0.0, 3.0, 16.0, 11.0, 7.0, 1.0, 0.0, 0.0, 0.0, 3.0, 14.0, 6.0, 4.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 12.0, 14.0, 6.0, 0.0, 0.0, 0.0, 0.0, 2.0, 0.0, 4.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 10.0, 0.0, 0.0, 0.0, 0.0, 6.0, 8.0, 14.0, 7.0, 0.0, 0.0, 0.0, 0.0, 7.0, 13.0, 7.0, 0.0, 0.0, 0.0], [0.0, 0.0, 11.0, 16.0, 15.0, 5.0, 0.0, 0.0, 0.0, 8.0, 16.0, 14.0, 16.0, 8.0, 0.0, 0.0, 0.0, 11.0, 10.0, 0.0, 16.0, 8.0, 0.0, 0.0, 0.0, 3.0, 1.0, 6.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 1.0, 15.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 14.0, 12.0, 12.0, 8.0, 0.0, 0.0, 1.0, 15.0, 16.0, 16.0, 14.0, 8.0, 0.0], [0.0, 0.0, 4.0, 13.0, 15.0, 9.0, 0.0, 0.0, 0.0, 4.0, 14.0, 6.0, 5.0, 16.0, 0.0, 0.0, 0.0, 7.0, 12.0, 2.0, 2.0, 16.0, 0.0, 0.0, 0.0, 4.0, 16.0, 15.0, 14.0, 7.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 10.0, 6.0, 8.0, 15.0, 2.0, 0.0, 0.0, 0.0, 11.0, 9.0, 4.0, 13.0, 11.0, 0.0, 0.0, 0.0, 2.0, 14.0, 16.0, 15.0, 6.0, 0.0], [0.0, 2.0, 15.0, 16.0, 15.0, 2.0, 0.0, 0.0, 0.0, 8.0, 14.0, 8.0, 14.0, 8.0, 0.0, 0.0, 0.0, 7.0, 5.0, 2.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0, 1.0, 15.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 9.0, 8.0, 8.0, 2.0, 0.0, 0.0, 2.0, 15.0, 16.0, 16.0, 16.0, 13.0, 0.0], [0.0, 0.0, 3.0, 11.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 10.0, 14.0, 6.0, 0.0, 0.0, 0.0, 15.0, 7.0, 0.0, 11.0, 8.0, 0.0, 0.0, 3.0, 16.0, 2.0, 0.0, 8.0, 8.0, 0.0, 0.0, 4.0, 12.0, 0.0, 0.0, 9.0, 8.0, 0.0, 0.0, 6.0, 15.0, 1.0, 0.0, 12.0, 8.0, 0.0, 0.0, 3.0, 15.0, 10.0, 8.0, 15.0, 4.0, 0.0, 0.0, 0.0, 5.0, 12.0, 14.0, 9.0, 0.0, 0.0], [0.0, 0.0, 7.0, 15.0, 9.0, 5.0, 0.0, 0.0, 0.0, 0.0, 14.0, 16.0, 14.0, 15.0, 0.0, 0.0, 0.0, 1.0, 16.0, 8.0, 4.0, 6.0, 4.0, 0.0, 0.0, 4.0, 15.0, 1.0, 0.0, 6.0, 5.0, 0.0, 0.0, 3.0, 11.0, 0.0, 0.0, 7.0, 5.0, 0.0, 0.0, 3.0, 11.0, 0.0, 1.0, 13.0, 2.0, 0.0, 0.0, 1.0, 13.0, 8.0, 13.0, 13.0, 0.0, 0.0, 0.0, 0.0, 6.0, 15.0, 11.0, 1.0, 0.0, 0.0], [0.0, 0.0, 0.0, 2.0, 13.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 16.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 15.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 13.0, 8.0, 0.0, 0.0], [0.0, 0.0, 3.0, 11.0, 16.0, 15.0, 1.0, 0.0, 0.0, 1.0, 16.0, 14.0, 10.0, 16.0, 2.0, 0.0, 0.0, 5.0, 12.0, 0.0, 8.0, 12.0, 0.0, 0.0, 0.0, 0.0, 1.0, 1.0, 13.0, 9.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 16.0, 13.0, 2.0, 0.0, 0.0, 0.0, 11.0, 14.0, 15.0, 12.0, 5.0, 0.0, 0.0, 0.0, 0.0, 15.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 5.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 4.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 8.0, 1.0, 0.0, 0.0, 0.0, 0.0, 6.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 12.0, 11.0, 10.0, 0.0, 0.0, 0.0, 4.0, 16.0, 15.0, 8.0, 11.0, 10.0, 0.0, 0.0, 1.0, 7.0, 15.0, 4.0, 3.0, 12.0, 0.0, 0.0, 0.0, 0.0, 7.0, 15.0, 16.0, 8.0, 0.0], [0.0, 0.0, 8.0, 14.0, 15.0, 6.0, 0.0, 0.0, 0.0, 4.0, 16.0, 12.0, 14.0, 11.0, 0.0, 0.0, 0.0, 4.0, 8.0, 1.0, 14.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 15.0, 7.0, 0.0, 0.0, 0.0, 4.0, 11.0, 8.0, 14.0, 7.0, 0.0, 0.0, 0.0, 11.0, 16.0, 16.0, 10.0, 0.0, 0.0], [0.0, 0.0, 10.0, 16.0, 16.0, 7.0, 0.0, 0.0, 0.0, 6.0, 15.0, 9.0, 14.0, 12.0, 0.0, 0.0, 0.0, 3.0, 5.0, 0.0, 13.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 13.0, 11.0, 8.0, 3.0, 0.0, 0.0, 0.0, 12.0, 16.0, 16.0, 16.0, 5.0, 0.0], [0.0, 0.0, 0.0, 0.0, 10.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 16.0, 16.0, 4.0, 0.0, 0.0, 0.0, 3.0, 12.0, 6.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 13.0, 7.0, 0.0], [0.0, 0.0, 3.0, 13.0, 16.0, 11.0, 0.0, 0.0, 0.0, 0.0, 14.0, 12.0, 14.0, 16.0, 1.0, 0.0, 0.0, 0.0, 6.0, 0.0, 7.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 11.0, 0.0, 0.0, 0.0, 0.0, 8.0, 13.0, 16.0, 14.0, 4.0, 0.0, 0.0, 5.0, 16.0, 16.0, 14.0, 12.0, 4.0, 0.0, 0.0, 0.0, 3.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 13.0, 0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 2.0, 13.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 16.0, 2.0, 0.0, 4.0, 0.0, 0.0, 5.0, 16.0, 10.0, 1.0, 13.0, 15.0, 0.0, 0.0, 7.0, 16.0, 16.0, 16.0, 16.0, 4.0, 0.0, 0.0, 0.0, 8.0, 15.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 11.0, 0.0, 0.0, 0.0], [0.0, 0.0, 3.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 14.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 15.0, 15.0, 16.0, 15.0, 2.0, 0.0, 0.0, 1.0, 16.0, 8.0, 4.0, 8.0, 11.0, 0.0, 0.0, 1.0, 16.0, 11.0, 7.0, 10.0, 12.0, 0.0, 0.0, 0.0, 5.0, 10.0, 12.0, 15.0, 7.0, 0.0], [0.0, 0.0, 12.0, 16.0, 16.0, 13.0, 1.0, 0.0, 0.0, 4.0, 15.0, 9.0, 12.0, 16.0, 2.0, 0.0, 0.0, 0.0, 2.0, 0.0, 11.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 13.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 6.0, 0.0, 0.0, 0.0, 4.0, 6.0, 6.0, 16.0, 6.0, 0.0, 0.0, 0.0, 12.0, 16.0, 16.0, 9.0, 0.0, 0.0], [0.0, 0.0, 0.0, 12.0, 15.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 16.0, 3.0, 0.0, 0.0, 0.0, 1.0, 16.0, 16.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 7.0, 0.0, 0.0], [0.0, 2.0, 10.0, 14.0, 11.0, 1.0, 0.0, 0.0, 0.0, 7.0, 15.0, 8.0, 16.0, 4.0, 0.0, 0.0, 0.0, 1.0, 1.0, 6.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 15.0, 9.0, 1.0, 0.0, 0.0, 0.0, 0.0, 1.0, 6.0, 15.0, 8.0, 0.0, 0.0, 2.0, 8.0, 4.0, 6.0, 15.0, 7.0, 0.0, 0.0, 2.0, 13.0, 16.0, 15.0, 9.0, 0.0, 0.0], [0.0, 0.0, 2.0, 10.0, 16.0, 13.0, 0.0, 0.0, 0.0, 3.0, 16.0, 8.0, 2.0, 16.0, 1.0, 0.0, 0.0, 8.0, 13.0, 0.0, 2.0, 16.0, 6.0, 0.0, 0.0, 6.0, 16.0, 12.0, 16.0, 16.0, 7.0, 0.0, 0.0, 0.0, 2.0, 4.0, 8.0, 12.0, 1.0, 0.0, 0.0, 0.0, 0.0, 1.0, 15.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 3.0, 0.0, 0.0, 0.0], [0.0, 0.0, 1.0, 14.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 1.0, 15.0, 16.0, 8.0, 0.0, 0.0], [0.0, 0.0, 6.0, 15.0, 16.0, 3.0, 0.0, 0.0, 0.0, 3.0, 16.0, 12.0, 15.0, 8.0, 0.0, 0.0, 0.0, 0.0, 4.0, 0.0, 14.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 6.0, 2.0, 0.0, 0.0, 0.0, 4.0, 14.0, 16.0, 16.0, 8.0, 0.0, 0.0, 0.0, 15.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 9.0, 0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 11.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 8.0, 2.0, 0.0, 0.0, 0.0, 0.0, 15.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 4.0, 3.0, 1.0, 0.0, 0.0, 0.0, 1.0, 16.0, 16.0, 16.0, 16.0, 4.0, 0.0, 0.0, 0.0, 14.0, 12.0, 4.0, 6.0, 12.0, 0.0, 0.0, 0.0, 10.0, 16.0, 5.0, 10.0, 15.0, 0.0, 0.0, 0.0, 2.0, 11.0, 16.0, 12.0, 8.0, 0.0], [0.0, 0.0, 3.0, 10.0, 12.0, 12.0, 2.0, 0.0, 0.0, 1.0, 13.0, 12.0, 6.0, 13.0, 8.0, 0.0, 0.0, 8.0, 16.0, 8.0, 8.0, 14.0, 1.0, 0.0, 0.0, 5.0, 14.0, 16.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 12.0, 16.0, 15.0, 2.0, 0.0, 0.0, 0.0, 3.0, 16.0, 2.0, 15.0, 10.0, 0.0, 0.0, 0.0, 4.0, 16.0, 8.0, 12.0, 12.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 15.0, 3.0, 0.0, 0.0], [0.0, 0.0, 0.0, 9.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 15.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 15.0, 1.0, 3.0, 8.0, 0.0, 0.0, 6.0, 16.0, 4.0, 0.0, 14.0, 12.0, 0.0, 0.0, 12.0, 16.0, 4.0, 11.0, 16.0, 5.0, 0.0, 0.0, 9.0, 16.0, 16.0, 16.0, 11.0, 0.0, 0.0, 0.0, 0.0, 6.0, 11.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 4.0, 0.0, 0.0], [0.0, 1.0, 12.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 7.0, 11.0, 7.0, 14.0, 1.0, 0.0, 0.0, 0.0, 2.0, 2.0, 3.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 14.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 16.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 2.0, 0.0, 5.0, 15.0, 6.0, 0.0, 0.0, 1.0, 11.0, 4.0, 4.0, 13.0, 8.0, 0.0, 0.0, 2.0, 14.0, 16.0, 16.0, 13.0, 1.0, 0.0], [0.0, 0.0, 3.0, 16.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 13.0, 15.0, 0.0, 0.0, 0.0], [0.0, 0.0, 2.0, 15.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 5.0, 0.0, 2.0, 0.0, 0.0, 2.0, 15.0, 10.0, 0.0, 11.0, 16.0, 1.0, 0.0, 10.0, 16.0, 4.0, 6.0, 16.0, 10.0, 0.0, 0.0, 6.0, 16.0, 16.0, 16.0, 15.0, 1.0, 0.0, 0.0, 0.0, 6.0, 13.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 5.0, 0.0, 0.0, 0.0], [0.0, 0.0, 3.0, 14.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 16.0, 14.0, 9.0, 0.0, 0.0, 0.0, 4.0, 16.0, 16.0, 11.0, 15.0, 3.0, 0.0, 0.0, 5.0, 15.0, 6.0, 0.0, 4.0, 8.0, 0.0, 0.0, 8.0, 8.0, 0.0, 0.0, 4.0, 8.0, 0.0, 0.0, 5.0, 11.0, 0.0, 0.0, 6.0, 6.0, 0.0, 0.0, 0.0, 13.0, 10.0, 5.0, 15.0, 5.0, 0.0, 0.0, 0.0, 2.0, 12.0, 14.0, 8.0, 0.0, 0.0], [0.0, 0.0, 5.0, 11.0, 16.0, 12.0, 0.0, 0.0, 0.0, 0.0, 16.0, 12.0, 4.0, 3.0, 0.0, 0.0, 0.0, 4.0, 16.0, 6.0, 3.0, 0.0, 0.0, 0.0, 0.0, 4.0, 15.0, 16.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 6.0, 0.0, 0.0, 0.0, 0.0, 1.0, 8.0, 15.0, 1.0, 0.0, 0.0, 0.0, 6.0, 16.0, 13.0, 1.0, 0.0, 0.0], [0.0, 0.0, 6.0, 13.0, 16.0, 10.0, 0.0, 0.0, 0.0, 4.0, 13.0, 5.0, 4.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 10.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 7.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 8.0, 0.0, 0.0, 0.0, 8.0, 6.0, 3.0, 11.0, 7.0, 0.0, 0.0, 0.0, 4.0, 14.0, 16.0, 11.0, 1.0, 0.0], [0.0, 0.0, 1.0, 13.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 14.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 10.0, 12.0, 12.0, 3.0, 0.0, 0.0, 3.0, 16.0, 11.0, 5.0, 9.0, 12.0, 0.0, 0.0, 1.0, 13.0, 11.0, 4.0, 13.0, 11.0, 0.0, 0.0, 0.0, 1.0, 12.0, 16.0, 11.0, 2.0, 0.0], [0.0, 0.0, 3.0, 11.0, 15.0, 13.0, 2.0, 0.0, 0.0, 2.0, 15.0, 11.0, 8.0, 14.0, 7.0, 0.0, 0.0, 8.0, 14.0, 0.0, 2.0, 13.0, 2.0, 0.0, 0.0, 3.0, 13.0, 16.0, 16.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 15.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 1.0, 0.0, 0.0, 0.0], [0.0, 0.0, 1.0, 10.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 14.0, 11.0, 3.0, 0.0, 0.0, 0.0, 0.0, 16.0, 2.0, 2.0, 0.0, 0.0, 0.0, 0.0, 3.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 13.0, 0.0, 6.0, 10.0, 3.0, 0.0, 0.0, 3.0, 15.0, 13.0, 12.0, 10.0, 12.0, 0.0, 0.0, 0.0, 10.0, 16.0, 4.0, 5.0, 14.0, 0.0, 0.0, 0.0, 0.0, 9.0, 15.0, 14.0, 9.0, 0.0], [0.0, 0.0, 8.0, 16.0, 15.0, 8.0, 0.0, 0.0, 0.0, 1.0, 16.0, 16.0, 16.0, 2.0, 0.0, 0.0, 0.0, 2.0, 16.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 16.0, 12.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 16.0, 13.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 16.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 15.0, 15.0, 0.0, 0.0, 0.0], [0.0, 0.0, 8.0, 16.0, 16.0, 1.0, 0.0, 0.0, 0.0, 1.0, 12.0, 10.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 2.0, 0.0, 0.0, 0.0, 4.0, 12.0, 14.0, 16.0, 12.0, 5.0, 0.0, 0.0, 12.0, 16.0, 16.0, 14.0, 12.0, 5.0, 0.0, 0.0, 0.0, 6.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 8.0, 0.0, 0.0, 0.0, 0.0], [0.0, 2.0, 12.0, 13.0, 16.0, 15.0, 1.0, 0.0, 0.0, 8.0, 16.0, 14.0, 11.0, 7.0, 0.0, 0.0, 0.0, 8.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 16.0, 11.0, 1.0, 0.0, 0.0, 0.0, 0.0, 2.0, 6.0, 15.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 15.0, 0.0, 0.0, 0.0, 0.0, 1.0, 7.0, 16.0, 11.0, 0.0, 0.0, 0.0, 1.0, 16.0, 16.0, 13.0, 1.0, 0.0, 0.0], [0.0, 0.0, 0.0, 10.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 8.0, 0.0, 3.0, 5.0, 0.0, 0.0, 10.0, 15.0, 0.0, 2.0, 15.0, 10.0, 0.0, 0.0, 12.0, 16.0, 14.0, 16.0, 13.0, 1.0, 0.0, 0.0, 2.0, 11.0, 14.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 2.0, 0.0, 0.0], [0.0, 0.0, 0.0, 7.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 14.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 8.0, 0.0, 0.0, 1.0, 0.0, 0.0, 4.0, 16.0, 3.0, 1.0, 10.0, 10.0, 0.0, 0.0, 8.0, 16.0, 12.0, 14.0, 13.0, 3.0, 0.0, 0.0, 2.0, 12.0, 10.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 13.0, 0.0, 0.0, 0.0], [0.0, 0.0, 2.0, 13.0, 16.0, 13.0, 0.0, 0.0, 0.0, 0.0, 14.0, 15.0, 14.0, 16.0, 0.0, 0.0, 0.0, 0.0, 5.0, 0.0, 10.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 13.0, 0.0, 0.0, 0.0, 0.0, 7.0, 14.0, 16.0, 16.0, 7.0, 0.0, 0.0, 0.0, 14.0, 16.0, 14.0, 10.0, 3.0, 0.0, 0.0, 0.0, 3.0, 15.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 15.0, 0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 7.0, 12.0, 12.0, 2.0, 0.0, 0.0, 0.0, 5.0, 15.0, 6.0, 10.0, 9.0, 0.0, 0.0, 0.0, 11.0, 4.0, 0.0, 11.0, 6.0, 0.0, 0.0, 0.0, 3.0, 0.0, 2.0, 15.0, 2.0, 0.0, 0.0, 0.0, 0.0, 1.0, 13.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 11.0, 1.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 7.0, 4.0, 4.0, 2.0, 0.0, 0.0, 0.0, 11.0, 12.0, 13.0, 14.0, 11.0, 0.0], [0.0, 0.0, 7.0, 13.0, 16.0, 11.0, 0.0, 0.0, 0.0, 3.0, 16.0, 5.0, 4.0, 14.0, 2.0, 0.0, 0.0, 8.0, 11.0, 1.0, 4.0, 15.0, 2.0, 0.0, 0.0, 3.0, 12.0, 14.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 15.0, 1.0, 0.0, 0.0, 0.0, 1.0, 15.0, 5.0, 11.0, 12.0, 0.0, 0.0, 0.0, 3.0, 16.0, 5.0, 7.0, 16.0, 1.0, 0.0, 0.0, 0.0, 5.0, 14.0, 16.0, 15.0, 2.0, 0.0], [0.0, 3.0, 15.0, 16.0, 13.0, 1.0, 0.0, 0.0, 0.0, 10.0, 13.0, 9.0, 16.0, 4.0, 0.0, 0.0, 0.0, 1.0, 1.0, 0.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 13.0, 12.0, 7.0, 2.0, 0.0, 0.0, 2.0, 13.0, 13.0, 13.0, 16.0, 15.0, 0.0], [0.0, 3.0, 13.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 10.0, 15.0, 13.0, 15.0, 2.0, 0.0, 0.0, 0.0, 15.0, 4.0, 4.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 1.0, 14.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 13.0, 8.0, 10.0, 9.0, 1.0, 0.0, 2.0, 16.0, 16.0, 14.0, 12.0, 9.0, 1.0], [0.0, 0.0, 7.0, 11.0, 12.0, 14.0, 2.0, 0.0, 0.0, 8.0, 16.0, 9.0, 4.0, 3.0, 0.0, 0.0, 0.0, 10.0, 15.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 12.0, 16.0, 14.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 13.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 9.0, 0.0, 0.0, 0.0, 2.0, 4.0, 8.0, 15.0, 9.0, 0.0, 0.0, 0.0, 10.0, 16.0, 13.0, 8.0, 0.0, 0.0], [0.0, 0.0, 1.0, 9.0, 16.0, 16.0, 3.0, 0.0, 0.0, 0.0, 14.0, 11.0, 8.0, 16.0, 8.0, 0.0, 0.0, 0.0, 4.0, 0.0, 0.0, 15.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 3.0, 0.0, 0.0, 0.0, 6.0, 12.0, 16.0, 16.0, 9.0, 0.0, 0.0, 1.0, 16.0, 14.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 2.0, 8.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 7.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 5.0, 13.0, 16.0, 8.0, 0.0, 0.0, 0.0, 8.0, 15.0, 6.0, 7.0, 14.0, 0.0, 0.0, 2.0, 16.0, 1.0, 1.0, 11.0, 10.0, 0.0, 0.0, 4.0, 16.0, 15.0, 16.0, 16.0, 6.0, 0.0, 0.0, 0.0, 4.0, 4.0, 5.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 10.0, 0.0, 0.0, 0.0], [0.0, 4.0, 10.0, 15.0, 16.0, 16.0, 14.0, 0.0, 0.0, 11.0, 16.0, 14.0, 8.0, 5.0, 2.0, 0.0, 0.0, 6.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 10.0, 0.0, 0.0, 0.0, 0.0, 5.0, 10.0, 14.0, 10.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 15.0, 3.0, 0.0, 0.0, 0.0], [0.0, 0.0, 1.0, 15.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 10.0, 0.0, 1.0, 3.0, 0.0, 0.0, 5.0, 16.0, 3.0, 1.0, 12.0, 15.0, 0.0, 0.0, 11.0, 16.0, 8.0, 14.0, 15.0, 3.0, 0.0, 0.0, 6.0, 16.0, 16.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 1.0, 14.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 12.0, 0.0, 0.0, 0.0], [0.0, 0.0, 4.0, 11.0, 14.0, 4.0, 0.0, 0.0, 0.0, 5.0, 13.0, 4.0, 9.0, 7.0, 0.0, 0.0, 0.0, 7.0, 10.0, 10.0, 13.0, 2.0, 0.0, 0.0, 0.0, 1.0, 9.0, 16.0, 15.0, 2.0, 0.0, 0.0, 0.0, 0.0, 8.0, 7.0, 9.0, 12.0, 0.0, 0.0, 0.0, 0.0, 12.0, 0.0, 1.0, 14.0, 5.0, 0.0, 0.0, 0.0, 11.0, 6.0, 0.0, 7.0, 8.0, 0.0, 0.0, 0.0, 2.0, 15.0, 16.0, 15.0, 4.0, 0.0], [0.0, 0.0, 3.0, 12.0, 15.0, 14.0, 3.0, 0.0, 0.0, 1.0, 16.0, 5.0, 0.0, 8.0, 12.0, 0.0, 0.0, 6.0, 16.0, 11.0, 2.0, 13.0, 7.0, 0.0, 0.0, 2.0, 9.0, 15.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 3.0, 14.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 9.0, 5.0, 6.0, 15.0, 0.0, 0.0, 0.0, 0.0, 11.0, 10.0, 7.0, 16.0, 2.0, 0.0, 0.0, 0.0, 3.0, 12.0, 16.0, 13.0, 0.0, 0.0], [0.0, 0.0, 0.0, 6.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 2.0, 15.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 16.0, 3.0, 2.0, 3.0, 0.0, 0.0, 7.0, 16.0, 7.0, 3.0, 15.0, 11.0, 0.0, 0.0, 7.0, 16.0, 14.0, 14.0, 16.0, 5.0, 0.0, 0.0, 1.0, 7.0, 12.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 15.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 2.0, 9.0, 16.0, 10.0, 0.0, 0.0, 0.0, 7.0, 15.0, 8.0, 7.0, 12.0, 0.0, 0.0, 1.0, 15.0, 3.0, 0.0, 11.0, 12.0, 0.0, 0.0, 8.0, 14.0, 9.0, 13.0, 16.0, 8.0, 0.0, 0.0, 1.0, 7.0, 7.0, 3.0, 13.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 4.0, 0.0, 0.0], [0.0, 0.0, 5.0, 11.0, 4.0, 1.0, 0.0, 0.0, 0.0, 0.0, 15.0, 16.0, 16.0, 11.0, 0.0, 0.0, 0.0, 2.0, 16.0, 9.0, 2.0, 12.0, 4.0, 0.0, 0.0, 6.0, 13.0, 0.0, 0.0, 6.0, 6.0, 0.0, 0.0, 3.0, 13.0, 0.0, 0.0, 5.0, 9.0, 0.0, 0.0, 3.0, 16.0, 0.0, 0.0, 6.0, 8.0, 0.0, 0.0, 0.0, 13.0, 12.0, 8.0, 16.0, 7.0, 0.0, 0.0, 0.0, 4.0, 13.0, 12.0, 10.0, 0.0, 0.0], [0.0, 0.0, 1.0, 13.0, 16.0, 14.0, 4.0, 0.0, 0.0, 2.0, 11.0, 8.0, 4.0, 11.0, 7.0, 0.0, 0.0, 6.0, 16.0, 3.0, 3.0, 13.0, 2.0, 0.0, 0.0, 0.0, 9.0, 14.0, 14.0, 4.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 10.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 11.0, 10.0, 15.0, 4.0, 0.0, 0.0, 0.0, 0.0, 1.0, 14.0, 15.0, 1.0, 0.0, 0.0], [0.0, 0.0, 0.0, 9.0, 15.0, 12.0, 1.0, 0.0, 0.0, 1.0, 11.0, 12.0, 5.0, 15.0, 4.0, 0.0, 0.0, 6.0, 14.0, 0.0, 0.0, 13.0, 7.0, 0.0, 0.0, 5.0, 16.0, 12.0, 12.0, 16.0, 4.0, 0.0, 0.0, 0.0, 3.0, 8.0, 14.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 9.0, 0.0, 0.0, 0.0], [0.0, 1.0, 9.0, 15.0, 16.0, 9.0, 0.0, 0.0, 0.0, 6.0, 12.0, 1.0, 2.0, 16.0, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 8.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 15.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 15.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 13.0, 2.0, 0.0, 0.0, 2.0, 7.0, 4.0, 4.0, 14.0, 3.0, 0.0, 0.0, 0.0, 9.0, 16.0, 16.0, 10.0, 0.0, 0.0], [0.0, 0.0, 9.0, 15.0, 5.0, 0.0, 0.0, 0.0, 0.0, 3.0, 15.0, 15.0, 16.0, 4.0, 0.0, 0.0, 0.0, 10.0, 14.0, 0.0, 9.0, 14.0, 0.0, 0.0, 0.0, 8.0, 12.0, 0.0, 0.0, 12.0, 5.0, 0.0, 0.0, 8.0, 8.0, 0.0, 0.0, 10.0, 8.0, 0.0, 0.0, 5.0, 14.0, 0.0, 0.0, 12.0, 8.0, 0.0, 0.0, 0.0, 16.0, 7.0, 12.0, 16.0, 4.0, 0.0, 0.0, 0.0, 9.0, 16.0, 15.0, 7.0, 0.0, 0.0], [0.0, 0.0, 0.0, 0.0, 13.0, 16.0, 6.0, 0.0, 0.0, 0.0, 3.0, 11.0, 16.0, 16.0, 5.0, 0.0, 0.0, 5.0, 16.0, 16.0, 16.0, 16.0, 4.0, 0.0, 0.0, 4.0, 10.0, 9.0, 16.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 1.0, 12.0, 14.0, 5.0, 0.0], [0.0, 0.0, 7.0, 14.0, 5.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 16.0, 11.0, 0.0, 0.0, 0.0, 0.0, 2.0, 14.0, 2.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 14.0, 8.0, 10.0, 0.0, 0.0, 0.0, 7.0, 12.0, 12.0, 12.0, 15.0, 2.0], [0.0, 0.0, 8.0, 12.0, 12.0, 14.0, 3.0, 0.0, 0.0, 0.0, 11.0, 11.0, 10.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 16.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 8.0, 16.0, 4.0, 0.0, 0.0, 0.0, 3.0, 0.0, 0.0, 16.0, 4.0, 0.0, 0.0, 1.0, 16.0, 9.0, 9.0, 15.0, 2.0, 0.0, 0.0, 1.0, 11.0, 14.0, 15.0, 3.0, 0.0, 0.0], [0.0, 0.0, 0.0, 2.0, 13.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 15.0, 2.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 12.0, 9.0, 14.0, 6.0, 0.0, 0.0, 0.0, 5.0, 14.0, 0.0, 13.0, 7.0, 1.0, 0.0, 0.0, 9.0, 15.0, 12.0, 16.0, 16.0, 4.0, 0.0, 0.0, 2.0, 8.0, 9.0, 16.0, 10.0, 1.0, 0.0, 0.0, 0.0, 0.0, 1.0, 13.0, 2.0, 0.0, 0.0], [0.0, 0.0, 12.0, 13.0, 12.0, 12.0, 12.0, 0.0, 0.0, 0.0, 16.0, 13.0, 12.0, 11.0, 11.0, 0.0, 0.0, 0.0, 16.0, 13.0, 11.0, 2.0, 0.0, 0.0, 0.0, 3.0, 16.0, 14.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 11.0, 0.0, 0.0, 0.0, 1.0, 14.0, 11.0, 15.0, 9.0, 0.0, 0.0, 0.0, 0.0, 10.0, 14.0, 12.0, 0.0, 0.0, 0.0], [0.0, 0.0, 1.0, 11.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 12.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 5.0, 5.0, 4.0, 0.0, 0.0, 0.0, 7.0, 16.0, 16.0, 16.0, 16.0, 5.0, 0.0, 0.0, 0.0, 16.0, 13.0, 4.0, 13.0, 7.0, 0.0, 0.0, 0.0, 9.0, 16.0, 14.0, 16.0, 4.0, 0.0, 0.0, 0.0, 1.0, 11.0, 14.0, 9.0, 0.0, 0.0], [0.0, 0.0, 2.0, 12.0, 8.0, 7.0, 6.0, 2.0, 0.0, 0.0, 9.0, 16.0, 15.0, 16.0, 16.0, 5.0, 0.0, 0.0, 13.0, 11.0, 0.0, 10.0, 14.0, 0.0, 0.0, 0.0, 11.0, 3.0, 2.0, 15.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 2.0, 0.0, 0.0, 0.0], [0.0, 0.0, 1.0, 6.0, 8.0, 9.0, 3.0, 0.0, 0.0, 0.0, 13.0, 15.0, 12.0, 11.0, 7.0, 0.0, 0.0, 0.0, 13.0, 11.0, 0.0, 9.0, 7.0, 0.0, 0.0, 0.0, 5.0, 15.0, 15.0, 15.0, 0.0, 0.0, 0.0, 0.0, 1.0, 14.0, 16.0, 16.0, 0.0, 0.0, 0.0, 0.0, 11.0, 9.0, 0.0, 16.0, 1.0, 0.0, 0.0, 0.0, 9.0, 10.0, 10.0, 13.0, 0.0, 0.0, 0.0, 0.0, 3.0, 11.0, 9.0, 2.0, 0.0, 0.0], [0.0, 0.0, 7.0, 14.0, 13.0, 8.0, 0.0, 0.0, 0.0, 1.0, 15.0, 13.0, 14.0, 14.0, 0.0, 0.0, 0.0, 0.0, 13.0, 13.0, 13.0, 16.0, 3.0, 0.0, 0.0, 0.0, 4.0, 14.0, 13.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 4.0, 0.0, 0.0, 7.0, 16.0, 9.0, 10.0, 15.0, 2.0, 0.0, 0.0, 1.0, 8.0, 13.0, 15.0, 8.0, 0.0, 0.0], [0.0, 0.0, 4.0, 13.0, 12.0, 1.0, 0.0, 0.0, 0.0, 2.0, 15.0, 14.0, 16.0, 13.0, 0.0, 0.0, 0.0, 6.0, 16.0, 4.0, 6.0, 16.0, 5.0, 0.0, 0.0, 8.0, 15.0, 1.0, 0.0, 12.0, 8.0, 0.0, 0.0, 8.0, 12.0, 0.0, 0.0, 12.0, 8.0, 0.0, 0.0, 5.0, 13.0, 0.0, 1.0, 13.0, 8.0, 0.0, 0.0, 1.0, 15.0, 10.0, 12.0, 16.0, 3.0, 0.0, 0.0, 0.0, 6.0, 16.0, 13.0, 4.0, 0.0, 0.0], [0.0, 0.0, 1.0, 8.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 16.0, 12.0, 0.0, 0.0, 0.0, 1.0, 15.0, 16.0, 16.0, 12.0, 0.0, 0.0, 0.0, 3.0, 12.0, 15.0, 16.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 5.0, 13.0, 7.0, 0.0, 0.0], [0.0, 0.0, 7.0, 13.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 16.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 5.0, 15.0, 3.0, 0.0, 0.0, 0.0, 0.0, 6.0, 2.0, 14.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 4.0, 4.0, 0.0, 0.0, 0.0, 7.0, 16.0, 16.0, 16.0, 16.0, 3.0, 0.0, 0.0, 6.0, 15.0, 6.0, 9.0, 9.0, 1.0], [0.0, 0.0, 10.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 14.0, 16.0, 2.0, 0.0, 0.0, 0.0, 3.0, 15.0, 8.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 10.0, 15.0, 2.0, 0.0, 0.0, 0.0, 10.0, 0.0, 0.0, 14.0, 8.0, 0.0, 0.0, 1.0, 16.0, 6.0, 8.0, 13.0, 8.0, 0.0, 0.0, 1.0, 15.0, 16.0, 13.0, 10.0, 1.0, 0.0], [0.0, 0.0, 0.0, 11.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 4.0, 3.0, 0.0, 0.0, 0.0, 0.0, 10.0, 9.0, 16.0, 4.0, 0.0, 0.0, 0.0, 2.0, 14.0, 5.0, 16.0, 2.0, 0.0, 0.0, 0.0, 8.0, 13.0, 7.0, 16.0, 11.0, 2.0, 0.0, 0.0, 10.0, 16.0, 16.0, 16.0, 14.0, 1.0, 0.0, 0.0, 0.0, 0.0, 11.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 7.0, 0.0, 0.0, 0.0], [0.0, 1.0, 8.0, 8.0, 9.0, 13.0, 8.0, 0.0, 0.0, 2.0, 16.0, 16.0, 16.0, 14.0, 9.0, 0.0, 0.0, 3.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 16.0, 15.0, 1.0, 0.0, 0.0, 0.0, 5.0, 10.0, 8.0, 15.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 7.0, 0.0, 0.0, 0.0, 0.0, 15.0, 12.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 9.0, 0.0, 0.0, 0.0], [0.0, 0.0, 2.0, 11.0, 13.0, 4.0, 0.0, 0.0, 0.0, 0.0, 12.0, 16.0, 13.0, 15.0, 0.0, 0.0, 0.0, 0.0, 16.0, 9.0, 1.0, 3.0, 0.0, 0.0, 0.0, 4.0, 16.0, 6.0, 14.0, 9.0, 1.0, 0.0, 0.0, 7.0, 16.0, 16.0, 16.0, 16.0, 6.0, 0.0, 0.0, 1.0, 16.0, 14.0, 4.0, 16.0, 8.0, 0.0, 0.0, 0.0, 12.0, 16.0, 13.0, 16.0, 2.0, 0.0, 0.0, 0.0, 2.0, 10.0, 16.0, 7.0, 0.0, 0.0], [0.0, 0.0, 1.0, 8.0, 8.0, 9.0, 12.0, 7.0, 0.0, 0.0, 8.0, 16.0, 12.0, 13.0, 16.0, 5.0, 0.0, 0.0, 11.0, 6.0, 0.0, 8.0, 11.0, 0.0, 0.0, 0.0, 15.0, 3.0, 1.0, 15.0, 3.0, 0.0, 0.0, 0.0, 1.0, 0.0, 10.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 13.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 11.0, 1.0, 0.0, 0.0, 0.0], [0.0, 0.0, 5.0, 11.0, 8.0, 7.0, 0.0, 0.0, 0.0, 3.0, 16.0, 11.0, 9.0, 16.0, 4.0, 0.0, 0.0, 0.0, 14.0, 3.0, 7.0, 15.0, 0.0, 0.0, 0.0, 0.0, 5.0, 15.0, 15.0, 3.0, 0.0, 0.0, 0.0, 0.0, 10.0, 15.0, 14.0, 1.0, 0.0, 0.0, 0.0, 4.0, 13.0, 0.0, 9.0, 7.0, 0.0, 0.0, 0.0, 3.0, 11.0, 5.0, 13.0, 7.0, 0.0, 0.0, 0.0, 0.0, 6.0, 10.0, 6.0, 0.0, 0.0, 0.0], [0.0, 0.0, 5.0, 16.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 13.0, 13.0, 11.0, 0.0, 0.0, 0.0, 0.0, 13.0, 8.0, 6.0, 16.0, 0.0, 0.0, 0.0, 0.0, 7.0, 14.0, 16.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 7.0, 8.0, 14.0, 7.0, 0.0, 0.0, 0.0, 4.0, 0.0, 0.0, 8.0, 12.0, 0.0, 0.0, 1.0, 15.0, 11.0, 8.0, 13.0, 11.0, 0.0, 0.0, 0.0, 5.0, 11.0, 12.0, 14.0, 3.0, 0.0], [0.0, 0.0, 3.0, 12.0, 11.0, 1.0, 0.0, 0.0, 0.0, 1.0, 14.0, 14.0, 15.0, 8.0, 0.0, 0.0, 0.0, 3.0, 16.0, 2.0, 5.0, 16.0, 1.0, 0.0, 0.0, 4.0, 16.0, 0.0, 0.0, 14.0, 6.0, 0.0, 0.0, 4.0, 16.0, 0.0, 0.0, 11.0, 8.0, 0.0, 0.0, 3.0, 16.0, 2.0, 0.0, 10.0, 8.0, 0.0, 0.0, 0.0, 10.0, 15.0, 13.0, 16.0, 3.0, 0.0, 0.0, 0.0, 1.0, 15.0, 14.0, 6.0, 0.0, 0.0], [0.0, 0.0, 0.0, 5.0, 15.0, 13.0, 1.0, 0.0, 0.0, 0.0, 2.0, 14.0, 16.0, 16.0, 4.0, 0.0, 0.0, 0.0, 8.0, 16.0, 16.0, 16.0, 4.0, 0.0, 0.0, 6.0, 15.0, 16.0, 16.0, 16.0, 1.0, 0.0, 0.0, 3.0, 7.0, 10.0, 16.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 12.0, 16.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 6.0, 14.0, 12.0, 1.0, 0.0], [0.0, 0.0, 9.0, 11.0, 2.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 14.0, 12.0, 0.0, 0.0, 0.0, 0.0, 9.0, 10.0, 5.0, 15.0, 0.0, 0.0, 0.0, 0.0, 5.0, 10.0, 4.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 13.0, 9.0, 2.0, 1.0, 0.0, 0.0, 0.0, 10.0, 16.0, 15.0, 14.0, 15.0, 0.0, 0.0, 0.0, 7.0, 9.0, 9.0, 12.0, 4.0, 0.0], [0.0, 0.0, 3.0, 13.0, 13.0, 1.0, 0.0, 0.0, 0.0, 0.0, 10.0, 15.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 5.0, 3.0, 15.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 15.0, 1.0, 0.0, 0.0, 2.0, 7.0, 0.0, 4.0, 16.0, 8.0, 0.0, 0.0, 5.0, 13.0, 0.0, 0.0, 14.0, 9.0, 0.0, 0.0, 0.0, 14.0, 11.0, 9.0, 16.0, 8.0, 0.0, 0.0, 0.0, 3.0, 12.0, 13.0, 8.0, 0.0, 0.0], [0.0, 0.0, 0.0, 4.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 15.0, 8.0, 0.0, 0.0, 0.0, 1.0, 15.0, 8.0, 14.0, 7.0, 0.0, 0.0, 0.0, 6.0, 16.0, 8.0, 14.0, 14.0, 4.0, 0.0, 0.0, 10.0, 16.0, 16.0, 16.0, 13.0, 1.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 13.0, 2.0, 0.0, 0.0], [0.0, 0.0, 6.0, 8.0, 11.0, 14.0, 14.0, 0.0, 0.0, 1.0, 16.0, 16.0, 13.0, 12.0, 7.0, 0.0, 0.0, 0.0, 16.0, 7.0, 1.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 16.0, 15.0, 1.0, 0.0, 0.0, 0.0, 1.0, 5.0, 6.0, 13.0, 9.0, 0.0, 0.0, 0.0, 0.0, 6.0, 0.0, 12.0, 9.0, 0.0, 0.0, 0.0, 0.0, 12.0, 10.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 10.0, 14.0, 8.0, 0.0, 0.0, 0.0], [0.0, 0.0, 1.0, 11.0, 14.0, 6.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 14.0, 4.0, 0.0, 0.0, 0.0, 0.0, 12.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 16.0, 12.0, 5.0, 0.0, 0.0, 0.0, 7.0, 16.0, 16.0, 16.0, 16.0, 3.0, 0.0, 0.0, 3.0, 15.0, 5.0, 0.0, 15.0, 13.0, 0.0, 0.0, 0.0, 11.0, 16.0, 14.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 12.0, 13.0, 9.0, 1.0, 0.0], [0.0, 0.0, 2.0, 10.0, 10.0, 12.0, 15.0, 10.0, 0.0, 0.0, 9.0, 16.0, 12.0, 8.0, 15.0, 6.0, 0.0, 0.0, 13.0, 9.0, 0.0, 4.0, 12.0, 1.0, 0.0, 1.0, 16.0, 3.0, 1.0, 13.0, 2.0, 0.0, 0.0, 0.0, 5.0, 0.0, 9.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 13.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 2.0, 0.0, 0.0, 0.0], [0.0, 0.0, 1.0, 11.0, 14.0, 5.0, 0.0, 0.0, 0.0, 1.0, 16.0, 14.0, 6.0, 13.0, 1.0, 0.0, 0.0, 9.0, 14.0, 2.0, 0.0, 16.0, 4.0, 0.0, 0.0, 5.0, 13.0, 0.0, 6.0, 16.0, 1.0, 0.0, 0.0, 1.0, 15.0, 16.0, 16.0, 12.0, 0.0, 0.0, 0.0, 0.0, 5.0, 14.0, 3.0, 13.0, 4.0, 0.0, 0.0, 0.0, 3.0, 15.0, 7.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 8.0, 0.0, 0.0], [0.0, 0.0, 3.0, 14.0, 10.0, 3.0, 0.0, 0.0, 0.0, 0.0, 10.0, 14.0, 13.0, 15.0, 1.0, 0.0, 0.0, 0.0, 12.0, 4.0, 4.0, 16.0, 4.0, 0.0, 0.0, 0.0, 6.0, 15.0, 15.0, 16.0, 8.0, 0.0, 0.0, 0.0, 1.0, 8.0, 8.0, 14.0, 8.0, 0.0, 0.0, 0.0, 2.0, 0.0, 0.0, 9.0, 11.0, 0.0, 0.0, 0.0, 16.0, 10.0, 8.0, 12.0, 12.0, 0.0, 0.0, 0.0, 7.0, 12.0, 14.0, 14.0, 6.0, 0.0], [0.0, 0.0, 4.0, 14.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 16.0, 16.0, 10.0, 0.0, 0.0, 0.0, 4.0, 16.0, 4.0, 5.0, 16.0, 6.0, 0.0, 0.0, 8.0, 14.0, 0.0, 1.0, 15.0, 5.0, 0.0, 0.0, 6.0, 16.0, 0.0, 0.0, 13.0, 4.0, 0.0, 0.0, 4.0, 15.0, 1.0, 7.0, 16.0, 1.0, 0.0, 0.0, 2.0, 15.0, 14.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 4.0, 13.0, 9.0, 0.0, 0.0, 0.0], [0.0, 0.0, 5.0, 14.0, 11.0, 1.0, 0.0, 0.0, 0.0, 0.0, 16.0, 10.0, 14.0, 13.0, 0.0, 0.0, 0.0, 0.0, 14.0, 2.0, 8.0, 16.0, 6.0, 0.0, 0.0, 0.0, 12.0, 7.0, 10.0, 16.0, 8.0, 0.0, 0.0, 0.0, 5.0, 16.0, 16.0, 15.0, 8.0, 0.0, 0.0, 1.0, 3.0, 1.0, 2.0, 11.0, 9.0, 0.0, 0.0, 1.0, 15.0, 6.0, 4.0, 12.0, 11.0, 0.0, 0.0, 0.0, 6.0, 16.0, 14.0, 12.0, 3.0, 0.0], [0.0, 1.0, 14.0, 13.0, 12.0, 8.0, 5.0, 0.0, 0.0, 4.0, 16.0, 11.0, 12.0, 15.0, 7.0, 0.0, 0.0, 8.0, 16.0, 16.0, 13.0, 1.0, 0.0, 0.0, 0.0, 3.0, 9.0, 7.0, 15.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 9.0, 0.0, 0.0, 0.0, 0.0, 2.0, 0.0, 6.0, 12.0, 0.0, 0.0, 0.0, 0.0, 16.0, 8.0, 12.0, 11.0, 0.0, 0.0, 0.0, 0.0, 12.0, 14.0, 12.0, 4.0, 0.0, 0.0], [0.0, 1.0, 8.0, 12.0, 16.0, 16.0, 7.0, 0.0, 0.0, 7.0, 16.0, 12.0, 12.0, 12.0, 5.0, 0.0, 0.0, 4.0, 13.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 16.0, 13.0, 0.0, 0.0, 0.0, 0.0, 2.0, 8.0, 6.0, 15.0, 6.0, 0.0, 0.0, 0.0, 0.0, 7.0, 0.0, 9.0, 12.0, 0.0, 0.0, 0.0, 0.0, 16.0, 11.0, 13.0, 12.0, 0.0, 0.0, 0.0, 0.0, 5.0, 13.0, 12.0, 5.0, 0.0, 0.0], [0.0, 0.0, 1.0, 9.0, 14.0, 11.0, 1.0, 0.0, 0.0, 0.0, 10.0, 15.0, 9.0, 13.0, 5.0, 0.0, 0.0, 3.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 16.0, 16.0, 10.0, 0.0, 0.0, 0.0, 7.0, 16.0, 11.0, 10.0, 16.0, 5.0, 0.0, 0.0, 2.0, 16.0, 5.0, 0.0, 12.0, 8.0, 0.0, 0.0, 0.0, 10.0, 15.0, 13.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 9.0, 12.0, 7.0, 0.0, 0.0], [0.0, 0.0, 11.0, 10.0, 12.0, 14.0, 11.0, 0.0, 0.0, 0.0, 16.0, 16.0, 16.0, 16.0, 7.0, 0.0, 0.0, 1.0, 16.0, 16.0, 16.0, 12.0, 0.0, 0.0, 0.0, 1.0, 5.0, 2.0, 11.0, 15.0, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 2.0, 16.0, 0.0, 0.0, 0.0, 3.0, 12.0, 0.0, 3.0, 15.0, 0.0, 0.0, 0.0, 6.0, 15.0, 8.0, 13.0, 11.0, 0.0, 0.0, 0.0, 0.0, 9.0, 14.0, 9.0, 2.0, 0.0, 0.0], [0.0, 0.0, 10.0, 15.0, 6.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 14.0, 16.0, 7.0, 0.0, 0.0, 0.0, 4.0, 16.0, 8.0, 5.0, 16.0, 1.0, 0.0, 0.0, 5.0, 12.0, 0.0, 0.0, 12.0, 8.0, 0.0, 0.0, 8.0, 9.0, 0.0, 0.0, 12.0, 8.0, 0.0, 0.0, 5.0, 12.0, 0.0, 1.0, 15.0, 3.0, 0.0, 0.0, 4.0, 13.0, 4.0, 12.0, 13.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 13.0, 4.0, 0.0, 0.0], [0.0, 0.0, 9.0, 16.0, 11.0, 1.0, 0.0, 0.0, 0.0, 5.0, 16.0, 10.0, 16.0, 9.0, 0.0, 0.0, 0.0, 6.0, 14.0, 1.0, 9.0, 15.0, 0.0, 0.0, 0.0, 1.0, 15.0, 6.0, 11.0, 16.0, 2.0, 0.0, 0.0, 0.0, 7.0, 16.0, 15.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 3.0, 1.0, 11.0, 9.0, 0.0, 0.0, 3.0, 14.0, 9.0, 9.0, 14.0, 12.0, 0.0, 0.0, 0.0, 12.0, 16.0, 16.0, 13.0, 3.0, 0.0], [0.0, 0.0, 4.0, 15.0, 13.0, 3.0, 0.0, 0.0, 0.0, 1.0, 16.0, 13.0, 16.0, 15.0, 1.0, 0.0, 0.0, 6.0, 15.0, 0.0, 4.0, 16.0, 4.0, 0.0, 0.0, 3.0, 15.0, 14.0, 16.0, 14.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 16.0, 11.0, 0.0, 0.0, 0.0, 0.0, 11.0, 12.0, 8.0, 16.0, 5.0, 0.0, 0.0, 0.0, 16.0, 10.0, 12.0, 16.0, 3.0, 0.0, 0.0, 0.0, 7.0, 16.0, 13.0, 7.0, 0.0, 0.0], [0.0, 1.0, 7.0, 12.0, 13.0, 3.0, 0.0, 0.0, 0.0, 7.0, 13.0, 6.0, 15.0, 14.0, 0.0, 0.0, 0.0, 6.0, 10.0, 0.0, 13.0, 16.0, 0.0, 0.0, 0.0, 1.0, 13.0, 13.0, 15.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 4.0, 1.0, 12.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 8.0, 0.0, 0.0, 0.0, 12.0, 13.0, 5.0, 14.0, 8.0, 0.0, 0.0, 0.0, 5.0, 12.0, 16.0, 11.0, 1.0, 0.0], [0.0, 0.0, 5.0, 12.0, 9.0, 1.0, 0.0, 0.0, 0.0, 0.0, 16.0, 9.0, 15.0, 9.0, 0.0, 0.0, 0.0, 2.0, 14.0, 1.0, 10.0, 12.0, 0.0, 0.0, 0.0, 0.0, 9.0, 14.0, 16.0, 11.0, 0.0, 0.0, 0.0, 0.0, 3.0, 15.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 12.0, 10.0, 3.0, 13.0, 1.0, 0.0, 0.0, 0.0, 11.0, 8.0, 5.0, 16.0, 3.0, 0.0, 0.0, 0.0, 4.0, 10.0, 8.0, 3.0, 0.0, 0.0], [0.0, 0.0, 0.0, 5.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 14.0, 12.0, 0.0, 0.0, 0.0, 0.0, 7.0, 13.0, 6.0, 13.0, 0.0, 0.0, 0.0, 2.0, 16.0, 3.0, 10.0, 11.0, 0.0, 0.0, 0.0, 6.0, 16.0, 13.0, 16.0, 16.0, 5.0, 0.0, 0.0, 2.0, 8.0, 9.0, 16.0, 11.0, 2.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 12.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 1.0, 12.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 16.0, 1.0, 0.0, 0.0, 1.0, 7.0, 15.0, 16.0, 14.0, 0.0, 0.0, 0.0, 4.0, 16.0, 16.0, 16.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 15.0, 13.0, 0.0, 0.0], [0.0, 0.0, 1.0, 8.0, 11.0, 13.0, 15.0, 3.0, 0.0, 0.0, 7.0, 16.0, 10.0, 10.0, 16.0, 5.0, 0.0, 1.0, 13.0, 3.0, 0.0, 9.0, 14.0, 0.0, 0.0, 3.0, 15.0, 0.0, 2.0, 15.0, 4.0, 0.0, 0.0, 5.0, 8.0, 0.0, 10.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 15.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 7.0, 0.0, 0.0, 0.0], [0.0, 0.0, 6.0, 12.0, 12.0, 15.0, 16.0, 6.0, 0.0, 2.0, 15.0, 16.0, 14.0, 16.0, 15.0, 3.0, 0.0, 3.0, 16.0, 6.0, 6.0, 16.0, 6.0, 0.0, 0.0, 7.0, 15.0, 4.0, 14.0, 11.0, 0.0, 0.0, 0.0, 1.0, 2.0, 8.0, 15.0, 3.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 3.0, 0.0, 0.0, 0.0], [0.0, 0.0, 6.0, 15.0, 14.0, 2.0, 0.0, 0.0, 0.0, 5.0, 16.0, 11.0, 14.0, 12.0, 0.0, 0.0, 0.0, 5.0, 11.0, 3.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 10.0, 16.0, 3.0, 0.0, 0.0, 1.0, 4.0, 0.0, 0.0, 12.0, 7.0, 0.0, 0.0, 7.0, 16.0, 5.0, 6.0, 16.0, 5.0, 0.0, 0.0, 1.0, 8.0, 15.0, 16.0, 12.0, 1.0, 0.0], [0.0, 0.0, 3.0, 8.0, 9.0, 11.0, 14.0, 1.0, 0.0, 0.0, 9.0, 16.0, 16.0, 16.0, 13.0, 0.0, 0.0, 0.0, 16.0, 5.0, 8.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 16.0, 16.0, 6.0, 0.0, 0.0, 0.0, 2.0, 9.0, 2.0, 9.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 8.0, 0.0, 0.0, 0.0, 0.0, 8.0, 12.0, 13.0, 5.0, 0.0, 0.0, 0.0, 0.0, 5.0, 13.0, 10.0, 1.0, 0.0, 0.0], [0.0, 0.0, 0.0, 5.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 16.0, 8.0, 0.0, 0.0, 0.0, 2.0, 15.0, 16.0, 16.0, 8.0, 0.0, 0.0, 0.0, 4.0, 8.0, 12.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0, 4.0, 15.0, 11.0, 2.0, 0.0], [0.0, 0.0, 2.0, 15.0, 10.0, 1.0, 0.0, 0.0, 0.0, 2.0, 13.0, 12.0, 14.0, 9.0, 0.0, 0.0, 0.0, 6.0, 16.0, 1.0, 1.0, 14.0, 2.0, 0.0, 0.0, 8.0, 16.0, 0.0, 0.0, 10.0, 5.0, 0.0, 0.0, 8.0, 14.0, 2.0, 0.0, 8.0, 8.0, 0.0, 0.0, 6.0, 14.0, 0.0, 0.0, 8.0, 8.0, 0.0, 0.0, 1.0, 14.0, 12.0, 8.0, 15.0, 6.0, 0.0, 0.0, 0.0, 3.0, 13.0, 16.0, 8.0, 1.0, 0.0], [0.0, 0.0, 2.0, 15.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 14.0, 15.0, 8.0, 0.0, 0.0, 0.0, 7.0, 15.0, 3.0, 3.0, 15.0, 0.0, 0.0, 0.0, 6.0, 16.0, 1.0, 0.0, 9.0, 8.0, 0.0, 0.0, 4.0, 12.0, 0.0, 0.0, 8.0, 8.0, 0.0, 0.0, 0.0, 12.0, 3.0, 0.0, 12.0, 7.0, 0.0, 0.0, 0.0, 9.0, 13.0, 13.0, 15.0, 1.0, 0.0, 0.0, 0.0, 1.0, 9.0, 12.0, 5.0, 0.0, 0.0], [0.0, 0.0, 11.0, 15.0, 4.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 15.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 11.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 10.0, 3.0, 0.0, 0.0, 0.0, 11.0, 16.0, 16.0, 16.0, 16.0, 6.0, 0.0, 0.0, 11.0, 16.0, 10.0, 5.0, 13.0, 6.0], [0.0, 0.0, 12.0, 15.0, 3.0, 0.0, 0.0, 0.0, 0.0, 6.0, 15.0, 12.0, 14.0, 0.0, 0.0, 0.0, 0.0, 7.0, 5.0, 1.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 15.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 14.0, 1.0, 0.0, 0.0, 0.0, 0.0, 12.0, 16.0, 12.0, 8.0, 5.0, 0.0, 0.0, 0.0, 9.0, 8.0, 13.0, 15.0, 7.0, 0.0], [0.0, 0.0, 2.0, 12.0, 12.0, 12.0, 9.0, 2.0, 0.0, 0.0, 9.0, 15.0, 12.0, 13.0, 16.0, 5.0, 0.0, 0.0, 12.0, 8.0, 0.0, 8.0, 10.0, 0.0, 0.0, 1.0, 16.0, 3.0, 3.0, 15.0, 2.0, 0.0, 0.0, 1.0, 3.0, 0.0, 12.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 15.0, 3.0, 0.0, 0.0, 0.0], [0.0, 0.0, 3.0, 9.0, 14.0, 7.0, 0.0, 0.0, 0.0, 3.0, 15.0, 11.0, 8.0, 15.0, 2.0, 0.0, 0.0, 4.0, 16.0, 5.0, 2.0, 16.0, 7.0, 0.0, 0.0, 0.0, 4.0, 15.0, 13.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 16.0, 1.0, 0.0, 0.0, 0.0, 2.0, 15.0, 8.0, 16.0, 7.0, 0.0, 0.0, 0.0, 4.0, 16.0, 4.0, 15.0, 7.0, 0.0, 0.0, 0.0, 0.0, 10.0, 15.0, 10.0, 0.0, 0.0], [0.0, 0.0, 7.0, 13.0, 2.0, 0.0, 0.0, 0.0, 0.0, 11.0, 15.0, 12.0, 13.0, 0.0, 0.0, 0.0, 0.0, 12.0, 7.0, 0.0, 16.0, 4.0, 0.0, 0.0, 0.0, 4.0, 4.0, 0.0, 14.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 12.0, 16.0, 16.0, 12.0, 9.0, 0.0, 0.0, 0.0, 9.0, 12.0, 8.0, 10.0, 14.0, 0.0], [0.0, 0.0, 4.0, 15.0, 12.0, 2.0, 0.0, 0.0, 0.0, 2.0, 15.0, 7.0, 11.0, 10.0, 0.0, 0.0, 0.0, 4.0, 16.0, 0.0, 0.0, 15.0, 1.0, 0.0, 0.0, 6.0, 10.0, 0.0, 0.0, 10.0, 8.0, 0.0, 0.0, 8.0, 8.0, 0.0, 0.0, 6.0, 8.0, 0.0, 0.0, 5.0, 12.0, 0.0, 0.0, 11.0, 8.0, 0.0, 0.0, 2.0, 16.0, 7.0, 8.0, 16.0, 2.0, 0.0, 0.0, 0.0, 6.0, 15.0, 16.0, 8.0, 0.0, 0.0], [0.0, 0.0, 7.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 14.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 1.0, 4.0, 14.0, 12.0, 4.0, 1.0, 0.0, 0.0, 7.0, 16.0, 16.0, 16.0, 16.0, 5.0], [0.0, 0.0, 7.0, 15.0, 6.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 9.0, 14.0, 3.0, 0.0, 0.0, 0.0, 2.0, 14.0, 0.0, 13.0, 6.0, 0.0, 0.0, 0.0, 0.0, 2.0, 0.0, 11.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 15.0, 7.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 16.0, 16.0, 15.0, 0.0, 0.0, 0.0, 6.0, 15.0, 7.0, 4.0, 6.0, 1.0], [0.0, 0.0, 0.0, 11.0, 12.0, 1.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 9.0, 4.0, 0.0, 0.0, 0.0, 0.0, 3.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 2.0, 8.0, 2.0, 0.0, 0.0, 0.0, 5.0, 16.0, 16.0, 16.0, 14.0, 2.0, 0.0, 0.0, 2.0, 16.0, 9.0, 3.0, 13.0, 7.0, 0.0, 0.0, 0.0, 11.0, 14.0, 7.0, 16.0, 9.0, 0.0, 0.0, 0.0, 1.0, 10.0, 14.0, 10.0, 2.0, 0.0], [0.0, 0.0, 3.0, 10.0, 13.0, 7.0, 0.0, 0.0, 0.0, 1.0, 14.0, 13.0, 15.0, 14.0, 0.0, 0.0, 0.0, 0.0, 15.0, 5.0, 14.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 14.0, 16.0, 3.0, 0.0, 0.0, 4.0, 5.0, 0.0, 2.0, 16.0, 4.0, 0.0, 0.0, 10.0, 16.0, 10.0, 8.0, 16.0, 3.0, 0.0, 0.0, 0.0, 5.0, 12.0, 14.0, 8.0, 0.0, 0.0], [0.0, 0.0, 3.0, 14.0, 13.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 9.0, 16.0, 2.0, 0.0, 0.0, 0.0, 4.0, 12.0, 3.0, 16.0, 0.0, 0.0, 0.0, 0.0, 2.0, 9.0, 15.0, 16.0, 10.0, 1.0, 0.0, 0.0, 0.0, 0.0, 11.0, 8.0, 16.0, 6.0, 0.0, 0.0, 0.0, 6.0, 0.0, 0.0, 12.0, 8.0, 0.0, 0.0, 0.0, 14.0, 10.0, 5.0, 16.0, 7.0, 0.0, 0.0, 0.0, 3.0, 13.0, 16.0, 11.0, 1.0, 0.0], [0.0, 0.0, 0.0, 10.0, 12.0, 15.0, 16.0, 13.0, 0.0, 0.0, 6.0, 15.0, 6.0, 4.0, 14.0, 9.0, 0.0, 0.0, 10.0, 6.0, 0.0, 3.0, 14.0, 2.0, 0.0, 1.0, 14.0, 1.0, 0.0, 12.0, 6.0, 0.0, 0.0, 0.0, 3.0, 0.0, 5.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 13.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 6.0, 0.0, 0.0, 0.0], [0.0, 0.0, 4.0, 13.0, 14.0, 2.0, 0.0, 0.0, 0.0, 0.0, 15.0, 10.0, 11.0, 10.0, 0.0, 0.0, 0.0, 3.0, 15.0, 2.0, 12.0, 6.0, 0.0, 0.0, 0.0, 0.0, 3.0, 8.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 9.0, 16.0, 2.0, 0.0, 0.0, 0.0, 10.0, 3.0, 0.0, 13.0, 6.0, 0.0, 0.0, 0.0, 16.0, 5.0, 7.0, 16.0, 3.0, 0.0, 0.0, 0.0, 7.0, 13.0, 13.0, 8.0, 0.0, 0.0], [0.0, 0.0, 5.0, 14.0, 9.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 13.0, 16.0, 0.0, 0.0, 0.0, 0.0, 2.0, 13.0, 10.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 2.0, 4.0, 5.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 7.0, 0.0, 0.0, 0.0, 11.0, 8.0, 8.0, 16.0, 4.0, 0.0, 0.0, 0.0, 8.0, 13.0, 15.0, 10.0, 0.0, 0.0], [0.0, 0.0, 0.0, 5.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 15.0, 10.0, 5.0, 0.0, 0.0, 0.0, 0.0, 9.0, 11.0, 10.0, 10.0, 0.0, 0.0, 0.0, 2.0, 15.0, 2.0, 14.0, 6.0, 0.0, 0.0, 0.0, 8.0, 13.0, 5.0, 14.0, 13.0, 4.0, 0.0, 0.0, 11.0, 16.0, 16.0, 16.0, 14.0, 3.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 10.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 12.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 13.0, 1.0, 0.0, 0.0, 0.0, 1.0, 14.0, 15.0, 2.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 15.0, 10.0, 7.0, 0.0, 0.0, 0.0, 7.0, 16.0, 16.0, 12.0, 16.0, 6.0, 0.0, 0.0, 3.0, 16.0, 13.0, 0.0, 16.0, 12.0, 0.0, 0.0, 0.0, 11.0, 16.0, 13.0, 16.0, 12.0, 0.0, 0.0, 0.0, 1.0, 9.0, 13.0, 12.0, 4.0, 0.0], [0.0, 0.0, 2.0, 15.0, 13.0, 3.0, 0.0, 0.0, 0.0, 0.0, 12.0, 16.0, 9.0, 4.0, 0.0, 0.0, 0.0, 3.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 14.0, 12.0, 5.0, 0.0, 0.0, 0.0, 8.0, 16.0, 16.0, 16.0, 16.0, 0.0, 0.0, 0.0, 5.0, 16.0, 15.0, 6.0, 16.0, 9.0, 0.0, 0.0, 1.0, 13.0, 14.0, 13.0, 16.0, 3.0, 0.0, 0.0, 0.0, 3.0, 12.0, 14.0, 10.0, 0.0, 0.0], [0.0, 0.0, 2.0, 12.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 12.0, 4.0, 0.0, 0.0, 0.0, 0.0, 15.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 14.0, 8.0, 8.0, 0.0, 0.0, 0.0, 4.0, 16.0, 16.0, 13.0, 15.0, 8.0, 0.0, 0.0, 4.0, 16.0, 11.0, 1.0, 12.0, 12.0, 0.0, 0.0, 0.0, 11.0, 16.0, 12.0, 14.0, 15.0, 0.0, 0.0, 0.0, 1.0, 8.0, 12.0, 12.0, 6.0, 0.0], [0.0, 0.0, 0.0, 4.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 13.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 12.0, 6.0, 14.0, 4.0, 0.0, 0.0, 0.0, 4.0, 16.0, 9.0, 15.0, 13.0, 3.0, 0.0, 0.0, 4.0, 12.0, 12.0, 16.0, 14.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 3.0, 0.0, 0.0], [0.0, 0.0, 10.0, 16.0, 13.0, 5.0, 0.0, 0.0, 0.0, 7.0, 13.0, 5.0, 14.0, 12.0, 0.0, 0.0, 0.0, 9.0, 10.0, 0.0, 13.0, 14.0, 0.0, 0.0, 0.0, 4.0, 15.0, 13.0, 16.0, 15.0, 3.0, 0.0, 0.0, 0.0, 2.0, 6.0, 3.0, 12.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 8.0, 0.0, 0.0, 0.0, 12.0, 6.0, 5.0, 15.0, 4.0, 0.0, 0.0, 0.0, 9.0, 13.0, 16.0, 8.0, 0.0, 0.0], [0.0, 0.0, 0.0, 2.0, 16.0, 15.0, 3.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 16.0, 4.0, 0.0, 0.0, 0.0, 9.0, 16.0, 16.0, 14.0, 0.0, 0.0, 0.0, 7.0, 16.0, 16.0, 16.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 16.0, 7.0, 0.0], [0.0, 0.0, 4.0, 12.0, 16.0, 16.0, 11.0, 2.0, 0.0, 0.0, 15.0, 13.0, 8.0, 11.0, 8.0, 1.0, 0.0, 2.0, 15.0, 13.0, 16.0, 8.0, 0.0, 0.0, 0.0, 6.0, 16.0, 13.0, 13.0, 16.0, 2.0, 0.0, 0.0, 7.0, 11.0, 2.0, 2.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 15.0, 2.0, 0.0, 0.0, 0.0, 9.0, 6.0, 13.0, 10.0, 0.0, 0.0, 0.0, 0.0, 7.0, 14.0, 13.0, 1.0, 0.0, 0.0], [0.0, 0.0, 3.0, 14.0, 10.0, 1.0, 0.0, 0.0, 0.0, 2.0, 14.0, 12.0, 15.0, 14.0, 1.0, 0.0, 0.0, 6.0, 13.0, 0.0, 3.0, 14.0, 8.0, 0.0, 0.0, 5.0, 12.0, 0.0, 0.0, 11.0, 8.0, 0.0, 0.0, 4.0, 14.0, 0.0, 0.0, 12.0, 7.0, 0.0, 0.0, 1.0, 14.0, 4.0, 3.0, 16.0, 3.0, 0.0, 0.0, 0.0, 8.0, 12.0, 12.0, 12.0, 0.0, 0.0, 0.0, 0.0, 2.0, 15.0, 10.0, 3.0, 0.0, 0.0], [0.0, 0.0, 7.0, 14.0, 10.0, 7.0, 0.0, 0.0, 0.0, 5.0, 16.0, 14.0, 16.0, 14.0, 0.0, 0.0, 0.0, 7.0, 11.0, 0.0, 9.0, 14.0, 1.0, 0.0, 0.0, 4.0, 14.0, 7.0, 11.0, 16.0, 5.0, 0.0, 0.0, 0.0, 9.0, 15.0, 15.0, 12.0, 8.0, 0.0, 0.0, 0.0, 0.0, 1.0, 1.0, 8.0, 9.0, 0.0, 0.0, 0.0, 14.0, 11.0, 10.0, 15.0, 9.0, 0.0, 0.0, 0.0, 9.0, 13.0, 13.0, 9.0, 0.0, 0.0], [0.0, 0.0, 9.0, 13.0, 14.0, 15.0, 13.0, 0.0, 0.0, 0.0, 16.0, 13.0, 12.0, 12.0, 5.0, 0.0, 0.0, 4.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 16.0, 11.0, 1.0, 0.0, 0.0, 0.0, 1.0, 7.0, 8.0, 16.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 13.0, 0.0, 0.0, 0.0, 0.0, 12.0, 8.0, 12.0, 10.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 13.0, 3.0, 0.0, 0.0], [0.0, 0.0, 10.0, 13.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 14.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 4.0, 8.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 16.0, 16.0, 13.0, 11.0, 0.0, 0.0, 0.0, 8.0, 14.0, 8.0, 11.0, 14.0, 1.0], [0.0, 0.0, 1.0, 7.0, 6.0, 11.0, 1.0, 0.0, 0.0, 0.0, 13.0, 11.0, 15.0, 16.0, 7.0, 0.0, 0.0, 0.0, 13.0, 6.0, 11.0, 16.0, 4.0, 0.0, 0.0, 0.0, 3.0, 15.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 4.0, 15.0, 14.0, 7.0, 0.0, 0.0, 0.0, 1.0, 14.0, 3.0, 1.0, 13.0, 0.0, 0.0, 0.0, 2.0, 12.0, 2.0, 3.0, 12.0, 0.0, 0.0, 0.0, 0.0, 1.0, 10.0, 8.0, 1.0, 0.0, 0.0], [0.0, 0.0, 13.0, 14.0, 3.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 15.0, 11.0, 0.0, 0.0, 0.0, 0.0, 7.0, 12.0, 4.0, 16.0, 0.0, 0.0, 0.0, 0.0, 3.0, 6.0, 4.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 14.0, 7.0, 0.0, 0.0, 0.0, 0.0, 1.0, 14.0, 16.0, 10.0, 10.0, 2.0, 0.0, 0.0, 0.0, 11.0, 12.0, 14.0, 14.0, 6.0, 0.0], [0.0, 0.0, 4.0, 15.0, 12.0, 1.0, 0.0, 0.0, 0.0, 0.0, 12.0, 11.0, 13.0, 13.0, 1.0, 0.0, 0.0, 3.0, 12.0, 0.0, 0.0, 14.0, 6.0, 0.0, 0.0, 8.0, 12.0, 0.0, 0.0, 11.0, 8.0, 0.0, 0.0, 8.0, 12.0, 0.0, 0.0, 8.0, 8.0, 0.0, 0.0, 6.0, 13.0, 0.0, 0.0, 11.0, 7.0, 0.0, 0.0, 4.0, 16.0, 7.0, 10.0, 15.0, 2.0, 0.0, 0.0, 0.0, 7.0, 13.0, 12.0, 2.0, 0.0, 0.0], [0.0, 0.0, 3.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 4.0, 15.0, 15.0, 16.0, 7.0, 0.0, 0.0, 0.0, 8.0, 16.0, 3.0, 7.0, 12.0, 0.0, 0.0, 0.0, 6.0, 16.0, 3.0, 0.0, 13.0, 3.0, 0.0, 0.0, 8.0, 10.0, 0.0, 0.0, 12.0, 8.0, 0.0, 0.0, 1.0, 15.0, 2.0, 0.0, 9.0, 11.0, 0.0, 0.0, 0.0, 13.0, 14.0, 10.0, 15.0, 12.0, 0.0, 0.0, 0.0, 3.0, 10.0, 16.0, 14.0, 3.0, 0.0], [0.0, 0.0, 0.0, 5.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 1.0, 13.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 13.0, 16.0, 16.0, 4.0, 0.0, 0.0, 0.0, 5.0, 15.0, 16.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 14.0, 9.0, 0.0, 0.0], [0.0, 0.0, 1.0, 11.0, 12.0, 13.0, 14.0, 5.0, 0.0, 0.0, 7.0, 15.0, 11.0, 10.0, 16.0, 6.0, 0.0, 0.0, 10.0, 7.0, 0.0, 2.0, 16.0, 2.0, 0.0, 1.0, 16.0, 1.0, 0.0, 12.0, 8.0, 0.0, 0.0, 2.0, 11.0, 0.0, 4.0, 14.0, 1.0, 0.0, 0.0, 0.0, 0.0, 1.0, 14.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 7.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 9.0, 14.0, 4.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 12.0, 4.0, 0.0, 0.0, 0.0, 1.0, 16.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 7.0, 3.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 14.0, 16.0, 10.0, 0.0, 0.0, 0.0, 3.0, 16.0, 15.0, 10.0, 16.0, 6.0, 0.0, 0.0, 0.0, 12.0, 16.0, 7.0, 13.0, 9.0, 0.0, 0.0, 0.0, 1.0, 11.0, 16.0, 16.0, 9.0, 0.0], [0.0, 0.0, 7.0, 13.0, 11.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 11.0, 16.0, 0.0, 0.0, 0.0, 0.0, 3.0, 8.0, 5.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 15.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 8.0, 16.0, 5.0, 0.0, 0.0, 6.0, 8.0, 0.0, 0.0, 11.0, 9.0, 0.0, 0.0, 0.0, 16.0, 6.0, 6.0, 14.0, 6.0, 0.0, 0.0, 0.0, 6.0, 15.0, 16.0, 10.0, 0.0, 0.0], [0.0, 0.0, 11.0, 11.0, 2.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 6.0, 12.0, 8.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 6.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 6.0, 3.0, 5.0, 0.0, 0.0, 0.0, 13.0, 16.0, 13.0, 15.0, 9.0, 0.0, 0.0, 1.0, 12.0, 12.0, 12.0, 12.0, 1.0, 0.0], [0.0, 0.0, 0.0, 6.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 16.0, 6.0, 0.0, 0.0, 0.0, 3.0, 16.0, 16.0, 16.0, 4.0, 0.0, 0.0, 0.0, 5.0, 16.0, 16.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 13.0, 11.0, 2.0, 0.0], [0.0, 0.0, 6.0, 15.0, 8.0, 10.0, 12.0, 2.0, 0.0, 0.0, 10.0, 14.0, 10.0, 12.0, 16.0, 1.0, 0.0, 0.0, 9.0, 10.0, 1.0, 13.0, 7.0, 0.0, 0.0, 0.0, 4.0, 4.0, 8.0, 12.0, 1.0, 0.0, 0.0, 0.0, 0.0, 2.0, 15.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 14.0, 0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 0.0, 7.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 15.0, 6.0, 0.0, 0.0, 0.0, 0.0, 1.0, 15.0, 5.0, 14.0, 3.0, 0.0, 0.0, 0.0, 12.0, 8.0, 4.0, 16.0, 0.0, 0.0, 0.0, 5.0, 16.0, 9.0, 10.0, 16.0, 4.0, 0.0, 0.0, 1.0, 11.0, 12.0, 14.0, 14.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 7.0, 0.0, 0.0], [0.0, 0.0, 0.0, 9.0, 14.0, 2.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 16.0, 16.0, 8.0, 0.0, 0.0, 0.0, 4.0, 16.0, 14.0, 8.0, 15.0, 3.0, 0.0, 0.0, 1.0, 15.0, 6.0, 0.0, 11.0, 11.0, 0.0, 0.0, 0.0, 10.0, 15.0, 7.0, 12.0, 16.0, 0.0, 0.0, 0.0, 1.0, 9.0, 15.0, 15.0, 10.0, 0.0], [0.0, 0.0, 6.0, 15.0, 11.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 13.0, 16.0, 0.0, 0.0, 0.0, 0.0, 2.0, 7.0, 13.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 15.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 11.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 7.0, 0.0, 0.0, 0.0, 16.0, 11.0, 10.0, 16.0, 7.0, 0.0, 0.0, 0.0, 5.0, 16.0, 15.0, 9.0, 0.0, 0.0], [0.0, 0.0, 0.0, 0.0, 12.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 16.0, 0.0, 0.0, 0.0, 0.0, 1.0, 13.0, 16.0, 11.0, 0.0, 0.0, 0.0, 3.0, 15.0, 16.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 3.0, 7.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 15.0, 5.0, 0.0], [0.0, 0.0, 9.0, 10.0, 2.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 7.0, 7.0, 4.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 14.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 14.0, 7.0, 0.0, 0.0, 0.0, 11.0, 10.0, 4.0, 11.0, 12.0, 0.0, 0.0, 0.0, 8.0, 14.0, 16.0, 15.0, 6.0, 0.0], [0.0, 0.0, 4.0, 10.0, 13.0, 3.0, 0.0, 0.0, 0.0, 4.0, 16.0, 13.0, 16.0, 8.0, 0.0, 0.0, 0.0, 5.0, 15.0, 0.0, 14.0, 11.0, 0.0, 0.0, 0.0, 3.0, 15.0, 15.0, 16.0, 16.0, 1.0, 0.0, 0.0, 0.0, 5.0, 9.0, 8.0, 14.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 8.0, 0.0, 0.0, 0.0, 9.0, 15.0, 10.0, 14.0, 7.0, 0.0, 0.0, 0.0, 4.0, 12.0, 14.0, 11.0, 2.0, 0.0], [0.0, 0.0, 0.0, 7.0, 16.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 14.0, 16.0, 16.0, 4.0, 0.0, 0.0, 2.0, 13.0, 16.0, 16.0, 12.0, 0.0, 0.0, 0.0, 7.0, 16.0, 16.0, 16.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 12.0, 2.0, 0.0], [0.0, 0.0, 4.0, 6.0, 11.0, 14.0, 6.0, 0.0, 0.0, 4.0, 16.0, 16.0, 12.0, 16.0, 7.0, 0.0, 0.0, 6.0, 16.0, 2.0, 1.0, 16.0, 3.0, 0.0, 0.0, 5.0, 16.0, 0.0, 5.0, 14.0, 0.0, 0.0, 0.0, 0.0, 2.0, 0.0, 11.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 15.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 12.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 6.0, 14.0, 8.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 12.0, 8.0, 0.0, 0.0, 0.0, 3.0, 16.0, 14.0, 3.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 16.0, 16.0, 11.0, 1.0, 0.0, 0.0, 8.0, 16.0, 13.0, 4.0, 14.0, 5.0, 0.0, 0.0, 2.0, 16.0, 9.0, 0.0, 8.0, 12.0, 0.0, 0.0, 0.0, 10.0, 15.0, 6.0, 13.0, 9.0, 0.0, 0.0, 0.0, 0.0, 8.0, 14.0, 16.0, 9.0, 0.0], [0.0, 0.0, 4.0, 6.0, 11.0, 5.0, 0.0, 0.0, 0.0, 2.0, 14.0, 7.0, 2.0, 15.0, 0.0, 0.0, 0.0, 4.0, 8.0, 0.0, 0.0, 10.0, 2.0, 0.0, 0.0, 0.0, 14.0, 8.0, 8.0, 13.0, 1.0, 0.0, 0.0, 0.0, 15.0, 10.0, 16.0, 7.0, 0.0, 0.0, 0.0, 1.0, 10.0, 0.0, 1.0, 10.0, 4.0, 0.0, 0.0, 0.0, 12.0, 2.0, 0.0, 6.0, 8.0, 0.0, 0.0, 0.0, 6.0, 10.0, 11.0, 7.0, 1.0, 0.0], [0.0, 0.0, 0.0, 5.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 14.0, 14.0, 2.0, 0.0, 0.0, 0.0, 0.0, 6.0, 14.0, 11.0, 12.0, 0.0, 0.0, 0.0, 3.0, 15.0, 3.0, 11.0, 10.0, 0.0, 0.0, 0.0, 8.0, 11.0, 0.0, 13.0, 10.0, 2.0, 0.0, 0.0, 10.0, 16.0, 16.0, 16.0, 15.0, 3.0, 0.0, 0.0, 0.0, 4.0, 10.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 9.0, 0.0, 0.0, 0.0], [0.0, 2.0, 13.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 12.0, 12.0, 12.0, 15.0, 0.0, 0.0, 0.0, 0.0, 5.0, 2.0, 7.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 15.0, 15.0, 7.0, 0.0, 0.0, 0.0, 0.0, 4.0, 12.0, 12.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 7.0, 0.0, 0.0, 3.0, 16.0, 8.0, 9.0, 16.0, 6.0, 0.0, 0.0, 1.0, 11.0, 12.0, 14.0, 9.0, 0.0, 0.0], [0.0, 0.0, 0.0, 7.0, 16.0, 12.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 16.0, 12.0, 0.0, 0.0, 0.0, 3.0, 16.0, 16.0, 16.0, 8.0, 0.0, 0.0, 0.0, 7.0, 16.0, 16.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 6.0, 15.0, 15.0, 2.0, 0.0], [0.0, 0.0, 0.0, 7.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 15.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 8.0, 13.0, 15.0, 6.0, 0.0, 0.0, 0.0, 3.0, 16.0, 3.0, 12.0, 7.0, 1.0, 0.0, 0.0, 4.0, 14.0, 9.0, 15.0, 16.0, 8.0, 0.0, 0.0, 4.0, 12.0, 12.0, 16.0, 10.0, 2.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 14.0, 0.0, 0.0, 0.0], [0.0, 0.0, 3.0, 11.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 14.0, 16.0, 2.0, 0.0, 0.0, 0.0, 3.0, 15.0, 1.0, 11.0, 11.0, 0.0, 0.0, 0.0, 4.0, 12.0, 0.0, 2.0, 16.0, 2.0, 0.0, 0.0, 7.0, 12.0, 0.0, 0.0, 12.0, 8.0, 0.0, 0.0, 4.0, 14.0, 0.0, 1.0, 15.0, 8.0, 0.0, 0.0, 2.0, 15.0, 14.0, 15.0, 15.0, 1.0, 0.0, 0.0, 0.0, 5.0, 13.0, 14.0, 5.0, 0.0, 0.0], [0.0, 2.0, 16.0, 12.0, 12.0, 14.0, 7.0, 0.0, 0.0, 3.0, 16.0, 9.0, 8.0, 8.0, 4.0, 0.0, 0.0, 2.0, 16.0, 10.0, 4.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 13.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 3.0, 0.0, 12.0, 10.0, 0.0, 0.0, 0.0, 6.0, 3.0, 0.0, 9.0, 11.0, 0.0, 0.0, 0.0, 11.0, 11.0, 9.0, 16.0, 3.0, 0.0, 0.0, 0.0, 3.0, 12.0, 15.0, 7.0, 0.0, 0.0, 0.0], [0.0, 0.0, 6.0, 14.0, 10.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 14.0, 16.0, 0.0, 0.0, 0.0, 0.0, 5.0, 10.0, 11.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 7.0, 0.0, 0.0, 4.0, 6.0, 0.0, 3.0, 16.0, 8.0, 0.0, 0.0, 5.0, 15.0, 9.0, 16.0, 13.0, 1.0, 0.0, 0.0, 0.0, 9.0, 15.0, 8.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 6.0, 14.0, 1.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 14.0, 1.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 12.0, 10.0, 3.0, 0.0, 0.0, 0.0, 5.0, 16.0, 15.0, 14.0, 16.0, 1.0, 0.0, 0.0, 3.0, 16.0, 12.0, 0.0, 15.0, 8.0, 0.0, 0.0, 0.0, 11.0, 16.0, 9.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 11.0, 15.0, 11.0, 1.0, 0.0], [0.0, 0.0, 6.0, 12.0, 11.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 14.0, 14.0, 11.0, 0.0, 0.0, 0.0, 8.0, 15.0, 1.0, 8.0, 16.0, 0.0, 0.0, 0.0, 3.0, 15.0, 5.0, 11.0, 16.0, 5.0, 0.0, 0.0, 0.0, 11.0, 16.0, 15.0, 14.0, 8.0, 0.0, 0.0, 0.0, 4.0, 2.0, 3.0, 6.0, 12.0, 0.0, 0.0, 2.0, 16.0, 13.0, 10.0, 14.0, 12.0, 0.0, 0.0, 0.0, 8.0, 12.0, 13.0, 13.0, 5.0, 0.0], [0.0, 0.0, 0.0, 11.0, 16.0, 12.0, 1.0, 0.0, 0.0, 0.0, 5.0, 16.0, 10.0, 16.0, 4.0, 0.0, 0.0, 2.0, 15.0, 10.0, 0.0, 8.0, 1.0, 0.0, 0.0, 5.0, 16.0, 9.0, 1.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 10.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 1.0, 8.0, 13.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 4.0, 14.0, 14.0, 4.0, 0.0, 0.0, 0.0, 1.0, 15.0, 16.0, 16.0, 2.0, 0.0, 0.0, 2.0, 13.0, 16.0, 16.0, 16.0, 0.0, 0.0, 0.0, 8.0, 16.0, 16.0, 16.0, 16.0, 0.0, 0.0, 0.0, 2.0, 7.0, 8.0, 16.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 15.0, 4.0, 0.0], [0.0, 0.0, 2.0, 13.0, 16.0, 16.0, 16.0, 12.0, 0.0, 0.0, 9.0, 15.0, 8.0, 9.0, 16.0, 7.0, 0.0, 0.0, 10.0, 10.0, 0.0, 6.0, 14.0, 1.0, 0.0, 1.0, 16.0, 5.0, 1.0, 16.0, 4.0, 0.0, 0.0, 0.0, 4.0, 0.0, 9.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 15.0, 4.0, 0.0, 0.0, 0.0], [0.0, 1.0, 8.0, 8.0, 11.0, 15.0, 10.0, 0.0, 0.0, 4.0, 16.0, 16.0, 11.0, 12.0, 6.0, 0.0, 0.0, 4.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 15.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 10.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 12.0, 0.0, 0.0, 0.0, 6.0, 15.0, 9.0, 13.0, 10.0, 0.0, 0.0, 0.0, 1.0, 13.0, 16.0, 13.0, 4.0, 0.0, 0.0], [0.0, 0.0, 0.0, 2.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 12.0, 15.0, 0.0, 0.0, 0.0, 2.0, 13.0, 8.0, 9.0, 14.0, 0.0, 0.0, 0.0, 9.0, 16.0, 16.0, 16.0, 16.0, 6.0, 0.0, 0.0, 2.0, 4.0, 5.0, 14.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 8.0, 0.0, 0.0], [0.0, 0.0, 0.0, 2.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 15.0, 8.0, 11.0, 0.0, 0.0, 0.0, 0.0, 12.0, 7.0, 12.0, 8.0, 0.0, 0.0, 0.0, 5.0, 16.0, 12.0, 15.0, 14.0, 5.0, 0.0, 0.0, 8.0, 13.0, 9.0, 16.0, 13.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 6.0, 0.0, 0.0], [0.0, 0.0, 2.0, 5.0, 5.0, 11.0, 15.0, 5.0, 0.0, 0.0, 12.0, 16.0, 14.0, 13.0, 16.0, 3.0, 0.0, 1.0, 14.0, 9.0, 0.0, 6.0, 11.0, 0.0, 0.0, 0.0, 16.0, 5.0, 1.0, 13.0, 4.0, 0.0, 0.0, 0.0, 1.0, 0.0, 7.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 12.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 5.0, 0.0, 0.0, 0.0], [0.0, 1.0, 11.0, 13.0, 2.0, 0.0, 0.0, 0.0, 0.0, 8.0, 15.0, 15.0, 6.0, 0.0, 0.0, 0.0, 0.0, 10.0, 9.0, 6.0, 14.0, 0.0, 0.0, 0.0, 0.0, 3.0, 10.0, 4.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 15.0, 3.0, 0.0, 0.0, 0.0, 0.0, 2.0, 13.0, 16.0, 13.0, 11.0, 2.0, 0.0, 0.0, 1.0, 12.0, 12.0, 12.0, 15.0, 11.0, 0.0], [0.0, 0.0, 3.0, 10.0, 14.0, 3.0, 0.0, 0.0, 0.0, 8.0, 16.0, 11.0, 10.0, 13.0, 0.0, 0.0, 0.0, 7.0, 14.0, 0.0, 1.0, 15.0, 2.0, 0.0, 0.0, 2.0, 16.0, 9.0, 16.0, 16.0, 1.0, 0.0, 0.0, 0.0, 12.0, 16.0, 15.0, 15.0, 2.0, 0.0, 0.0, 0.0, 12.0, 10.0, 0.0, 8.0, 8.0, 0.0, 0.0, 0.0, 9.0, 12.0, 4.0, 7.0, 12.0, 0.0, 0.0, 0.0, 2.0, 11.0, 16.0, 16.0, 9.0, 0.0], [0.0, 1.0, 11.0, 12.0, 1.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 12.0, 9.0, 0.0, 0.0, 0.0, 0.0, 7.0, 8.0, 7.0, 12.0, 0.0, 0.0, 0.0, 0.0, 1.0, 1.0, 4.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 9.0, 0.0, 0.0, 0.0, 0.0, 1.0, 14.0, 16.0, 16.0, 15.0, 10.0, 0.0, 0.0, 0.0, 13.0, 11.0, 8.0, 12.0, 8.0, 0.0], [0.0, 0.0, 0.0, 3.0, 15.0, 13.0, 1.0, 0.0, 0.0, 0.0, 2.0, 15.0, 16.0, 16.0, 2.0, 0.0, 0.0, 0.0, 13.0, 10.0, 5.0, 15.0, 0.0, 0.0, 0.0, 0.0, 6.0, 2.0, 11.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 14.0, 2.0, 0.0, 0.0, 0.0, 3.0, 8.0, 16.0, 8.0, 0.0, 0.0, 0.0, 3.0, 16.0, 16.0, 16.0, 16.0, 8.0, 0.0, 0.0, 1.0, 4.0, 4.0, 5.0, 13.0, 6.0, 0.0, 0.0], [0.0, 0.0, 11.0, 15.0, 15.0, 16.0, 9.0, 0.0, 0.0, 4.0, 16.0, 14.0, 8.0, 9.0, 3.0, 0.0, 0.0, 4.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 15.0, 3.0, 0.0, 0.0, 0.0, 0.0, 3.0, 11.0, 11.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 0.0, 0.0, 0.0, 0.0, 2.0, 12.0, 9.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 8.0, 0.0, 0.0, 0.0], [0.0, 0.0, 2.0, 8.0, 8.0, 8.0, 12.0, 2.0, 0.0, 0.0, 12.0, 16.0, 14.0, 14.0, 15.0, 1.0, 0.0, 0.0, 14.0, 9.0, 0.0, 12.0, 6.0, 0.0, 0.0, 0.0, 10.0, 2.0, 8.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 14.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 15.0, 0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 3.0, 10.0, 14.0, 3.0, 0.0, 0.0, 0.0, 4.0, 16.0, 13.0, 15.0, 11.0, 0.0, 0.0, 0.0, 8.0, 13.0, 1.0, 13.0, 16.0, 2.0, 0.0, 0.0, 6.0, 16.0, 14.0, 14.0, 14.0, 6.0, 0.0, 0.0, 0.0, 5.0, 7.0, 1.0, 11.0, 8.0, 0.0, 0.0, 1.0, 8.0, 1.0, 0.0, 8.0, 8.0, 0.0, 0.0, 2.0, 16.0, 11.0, 8.0, 14.0, 7.0, 0.0, 0.0, 0.0, 5.0, 12.0, 14.0, 9.0, 1.0, 0.0], [0.0, 0.0, 3.0, 8.0, 11.0, 13.0, 14.0, 0.0, 0.0, 2.0, 13.0, 16.0, 13.0, 13.0, 13.0, 0.0, 0.0, 1.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 11.0, 10.0, 1.0, 0.0, 0.0, 0.0, 3.0, 16.0, 14.0, 14.0, 10.0, 0.0, 0.0, 0.0, 0.0, 8.0, 3.0, 9.0, 11.0, 0.0, 0.0, 0.0, 0.0, 7.0, 15.0, 14.0, 11.0, 0.0, 0.0, 0.0, 0.0, 2.0, 12.0, 13.0, 2.0, 0.0, 0.0], [0.0, 0.0, 0.0, 0.0, 13.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 13.0, 4.0, 0.0, 0.0, 0.0, 0.0, 6.0, 14.0, 4.0, 16.0, 1.0, 0.0, 0.0, 2.0, 14.0, 3.0, 6.0, 14.0, 0.0, 0.0, 0.0, 6.0, 16.0, 11.0, 12.0, 12.0, 0.0, 0.0, 0.0, 2.0, 7.0, 14.0, 16.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 3.0, 0.0, 0.0], [0.0, 0.0, 6.0, 10.0, 9.0, 4.0, 0.0, 0.0, 0.0, 0.0, 14.0, 10.0, 16.0, 16.0, 1.0, 0.0, 0.0, 4.0, 15.0, 1.0, 9.0, 16.0, 0.0, 0.0, 0.0, 3.0, 16.0, 16.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 12.0, 14.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 12.0, 1.0, 9.0, 12.0, 0.0, 0.0, 0.0, 0.0, 16.0, 6.0, 14.0, 9.0, 0.0, 0.0, 0.0, 0.0, 8.0, 12.0, 6.0, 1.0, 0.0, 0.0], [0.0, 0.0, 5.0, 15.0, 15.0, 7.0, 0.0, 0.0, 0.0, 2.0, 16.0, 11.0, 16.0, 16.0, 8.0, 0.0, 0.0, 2.0, 16.0, 5.0, 4.0, 16.0, 8.0, 0.0, 0.0, 1.0, 12.0, 16.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 15.0, 9.0, 14.0, 10.0, 0.0, 0.0, 0.0, 0.0, 14.0, 12.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 5.0, 14.0, 12.0, 1.0, 0.0, 0.0], [0.0, 0.0, 0.0, 5.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 9.0, 12.0, 16.0, 5.0, 0.0, 0.0, 0.0, 2.0, 16.0, 4.0, 16.0, 7.0, 0.0, 0.0, 0.0, 9.0, 16.0, 14.0, 16.0, 16.0, 3.0, 0.0, 0.0, 3.0, 8.0, 11.0, 16.0, 8.0, 1.0, 0.0, 0.0, 0.0, 0.0, 5.0, 13.0, 0.0, 0.0, 0.0], [0.0, 0.0, 2.0, 10.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 14.0, 9.0, 6.0, 16.0, 16.0, 0.0, 0.0, 0.0, 16.0, 6.0, 5.0, 14.0, 11.0, 0.0, 0.0, 0.0, 5.0, 14.0, 14.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 3.0, 0.0, 0.0, 0.0, 3.0, 1.0, 4.0, 16.0, 3.0, 0.0, 0.0, 2.0, 15.0, 13.0, 11.0, 13.0, 1.0, 0.0, 0.0, 0.0, 3.0, 12.0, 13.0, 4.0, 0.0, 0.0], [0.0, 0.0, 2.0, 12.0, 14.0, 4.0, 0.0, 0.0, 0.0, 0.0, 15.0, 12.0, 11.0, 13.0, 0.0, 0.0, 0.0, 4.0, 16.0, 4.0, 1.0, 14.0, 6.0, 0.0, 0.0, 4.0, 12.0, 0.0, 0.0, 8.0, 8.0, 0.0, 0.0, 6.0, 9.0, 0.0, 0.0, 5.0, 8.0, 0.0, 0.0, 3.0, 12.0, 1.0, 0.0, 12.0, 8.0, 0.0, 0.0, 0.0, 8.0, 12.0, 9.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 10.0, 13.0, 3.0, 0.0, 0.0], [0.0, 0.0, 5.0, 13.0, 13.0, 8.0, 0.0, 0.0, 0.0, 0.0, 16.0, 11.0, 13.0, 16.0, 6.0, 0.0, 0.0, 1.0, 16.0, 5.0, 2.0, 14.0, 9.0, 0.0, 0.0, 0.0, 9.0, 16.0, 16.0, 15.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 14.0, 14.0, 0.0, 0.0, 0.0, 5.0, 15.0, 4.0, 0.0, 16.0, 6.0, 0.0, 0.0, 6.0, 14.0, 7.0, 6.0, 16.0, 4.0, 0.0, 0.0, 0.0, 7.0, 15.0, 16.0, 10.0, 0.0, 0.0], [0.0, 0.0, 5.0, 13.0, 15.0, 6.0, 0.0, 0.0, 0.0, 2.0, 16.0, 9.0, 16.0, 13.0, 0.0, 0.0, 0.0, 4.0, 14.0, 0.0, 10.0, 16.0, 2.0, 0.0, 0.0, 4.0, 15.0, 11.0, 15.0, 16.0, 1.0, 0.0, 0.0, 0.0, 7.0, 10.0, 3.0, 13.0, 8.0, 0.0, 0.0, 0.0, 3.0, 0.0, 0.0, 12.0, 5.0, 0.0, 0.0, 0.0, 13.0, 11.0, 4.0, 16.0, 4.0, 0.0, 0.0, 0.0, 7.0, 14.0, 16.0, 11.0, 1.0, 0.0], [0.0, 0.0, 8.0, 11.0, 8.0, 10.0, 0.0, 0.0, 0.0, 3.0, 15.0, 8.0, 12.0, 16.0, 4.0, 0.0, 0.0, 3.0, 12.0, 0.0, 3.0, 16.0, 2.0, 0.0, 0.0, 0.0, 11.0, 10.0, 15.0, 10.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 7.0, 9.0, 4.0, 16.0, 0.0, 0.0, 0.0, 0.0, 12.0, 11.0, 5.0, 16.0, 0.0, 0.0, 0.0, 0.0, 3.0, 10.0, 9.0, 3.0, 0.0, 0.0], [0.0, 0.0, 6.0, 15.0, 13.0, 2.0, 0.0, 0.0, 0.0, 1.0, 15.0, 10.0, 11.0, 14.0, 0.0, 0.0, 0.0, 2.0, 16.0, 3.0, 1.0, 16.0, 4.0, 0.0, 0.0, 4.0, 12.0, 0.0, 1.0, 14.0, 4.0, 0.0, 0.0, 4.0, 10.0, 0.0, 0.0, 15.0, 3.0, 0.0, 0.0, 4.0, 12.0, 0.0, 0.0, 15.0, 3.0, 0.0, 0.0, 1.0, 13.0, 9.0, 11.0, 16.0, 2.0, 0.0, 0.0, 0.0, 4.0, 12.0, 14.0, 5.0, 0.0, 0.0], [0.0, 0.0, 7.0, 14.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 15.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 13.0, 13.0, 0.0, 0.0, 0.0, 0.0, 6.0, 12.0, 14.0, 16.0, 12.0, 5.0, 0.0, 0.0, 5.0, 16.0, 16.0, 16.0, 16.0, 15.0], [0.0, 0.0, 2.0, 13.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 14.0, 11.0, 9.0, 0.0, 0.0, 0.0, 0.0, 15.0, 7.0, 6.0, 12.0, 0.0, 0.0, 0.0, 0.0, 8.0, 5.0, 9.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 14.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 12.0, 12.0, 4.0, 4.0, 1.0, 0.0, 0.0, 1.0, 15.0, 16.0, 16.0, 16.0, 7.0], [0.0, 0.0, 1.0, 9.0, 15.0, 5.0, 0.0, 0.0, 0.0, 0.0, 14.0, 11.0, 5.0, 11.0, 0.0, 0.0, 0.0, 4.0, 15.0, 1.0, 4.0, 14.0, 0.0, 0.0, 0.0, 0.0, 6.0, 1.0, 13.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 13.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 10.0, 0.0, 0.0, 0.0, 12.0, 9.0, 4.0, 4.0, 15.0, 0.0, 0.0, 0.0, 1.0, 10.0, 16.0, 15.0, 11.0, 1.0], [0.0, 0.0, 1.0, 14.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 14.0, 0.0, 3.0, 0.0, 0.0, 0.0, 1.0, 16.0, 4.0, 10.0, 12.0, 0.0, 0.0, 0.0, 7.0, 14.0, 2.0, 15.0, 5.0, 0.0, 0.0, 0.0, 13.0, 14.0, 11.0, 16.0, 16.0, 9.0, 0.0, 0.0, 8.0, 16.0, 16.0, 14.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 5.0, 0.0, 0.0, 0.0], [0.0, 0.0, 9.0, 14.0, 16.0, 13.0, 2.0, 0.0, 0.0, 0.0, 13.0, 8.0, 2.0, 6.0, 4.0, 0.0, 0.0, 0.0, 16.0, 2.0, 9.0, 8.0, 0.0, 0.0, 0.0, 3.0, 15.0, 15.0, 11.0, 14.0, 4.0, 0.0, 0.0, 5.0, 16.0, 6.0, 0.0, 12.0, 2.0, 0.0, 0.0, 5.0, 7.0, 0.0, 3.0, 13.0, 0.0, 0.0, 0.0, 0.0, 5.0, 7.0, 13.0, 6.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 9.0, 0.0, 0.0, 0.0], [0.0, 0.0, 1.0, 14.0, 15.0, 4.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 10.0, 5.0, 0.0, 0.0, 0.0, 1.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 12.0, 5.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 16.0, 16.0, 8.0, 0.0, 0.0, 0.0, 1.0, 15.0, 7.0, 4.0, 16.0, 4.0, 0.0, 0.0, 0.0, 11.0, 13.0, 4.0, 16.0, 9.0, 0.0, 0.0, 0.0, 1.0, 12.0, 16.0, 16.0, 9.0, 0.0], [0.0, 0.0, 9.0, 15.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 13.0, 9.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 2.0, 6.0, 16.0, 16.0, 12.0, 0.0, 0.0, 0.0, 14.0, 16.0, 14.0, 8.0, 7.0, 0.0, 0.0, 0.0, 3.0, 14.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 11.0, 0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 5.0, 15.0, 13.0, 2.0, 0.0, 0.0, 0.0, 0.0, 12.0, 7.0, 11.0, 6.0, 0.0, 0.0, 0.0, 0.0, 9.0, 12.0, 15.0, 1.0, 0.0, 0.0, 0.0, 1.0, 8.0, 16.0, 4.0, 0.0, 0.0, 0.0, 3.0, 15.0, 8.0, 13.0, 0.0, 0.0, 0.0, 0.0, 7.0, 12.0, 0.0, 10.0, 7.0, 0.0, 0.0, 0.0, 0.0, 12.0, 11.0, 10.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 13.0, 10.0, 0.0, 0.0], [0.0, 0.0, 3.0, 11.0, 15.0, 8.0, 0.0, 0.0, 0.0, 3.0, 14.0, 10.0, 5.0, 15.0, 2.0, 0.0, 0.0, 8.0, 10.0, 0.0, 3.0, 16.0, 4.0, 0.0, 0.0, 8.0, 9.0, 1.0, 10.0, 16.0, 7.0, 0.0, 0.0, 1.0, 15.0, 16.0, 9.0, 9.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 8.0, 0.0, 0.0, 0.0, 4.0, 6.0, 5.0, 13.0, 7.0, 0.0, 0.0, 0.0, 3.0, 16.0, 15.0, 8.0, 1.0, 0.0], [0.0, 0.0, 0.0, 9.0, 14.0, 6.0, 0.0, 0.0, 0.0, 0.0, 10.0, 13.0, 4.0, 13.0, 2.0, 0.0, 0.0, 2.0, 14.0, 0.0, 0.0, 10.0, 6.0, 0.0, 0.0, 4.0, 9.0, 0.0, 0.0, 6.0, 8.0, 0.0, 0.0, 5.0, 8.0, 0.0, 0.0, 8.0, 7.0, 0.0, 0.0, 2.0, 11.0, 1.0, 0.0, 9.0, 5.0, 0.0, 0.0, 0.0, 6.0, 11.0, 4.0, 13.0, 3.0, 0.0, 0.0, 0.0, 1.0, 11.0, 16.0, 12.0, 0.0, 0.0], [0.0, 0.0, 6.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 15.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 10.0, 14.0, 12.0, 5.0, 1.0, 0.0, 0.0, 6.0, 16.0, 16.0, 16.0, 16.0, 12.0], [0.0, 0.0, 5.0, 16.0, 14.0, 2.0, 0.0, 0.0, 0.0, 1.0, 13.0, 14.0, 16.0, 8.0, 0.0, 0.0, 0.0, 9.0, 15.0, 3.0, 16.0, 5.0, 0.0, 0.0, 0.0, 10.0, 13.0, 3.0, 16.0, 3.0, 0.0, 0.0, 0.0, 3.0, 3.0, 11.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 16.0, 16.0, 10.0, 0.0, 0.0, 0.0, 6.0, 16.0, 14.0, 12.0, 9.0, 0.0], [0.0, 0.0, 3.0, 10.0, 15.0, 6.0, 0.0, 0.0, 0.0, 4.0, 16.0, 9.0, 4.0, 16.0, 2.0, 0.0, 0.0, 8.0, 14.0, 0.0, 9.0, 10.0, 0.0, 0.0, 0.0, 1.0, 4.0, 7.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 15.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 14.0, 1.0, 0.0, 0.0, 0.0, 12.0, 8.0, 1.0, 11.0, 7.0, 0.0, 0.0, 0.0, 6.0, 8.0, 16.0, 15.0, 5.0, 0.0], [0.0, 0.0, 3.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 13.0, 2.0, 5.0, 0.0, 0.0, 0.0, 2.0, 16.0, 6.0, 10.0, 15.0, 1.0, 0.0, 0.0, 9.0, 15.0, 3.0, 16.0, 11.0, 7.0, 0.0, 0.0, 12.0, 16.0, 16.0, 15.0, 11.0, 5.0, 0.0, 0.0, 3.0, 9.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 14.0, 0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 13.0, 13.0, 13.0, 12.0, 4.0, 0.0, 0.0, 1.0, 16.0, 5.0, 5.0, 9.0, 4.0, 0.0, 0.0, 4.0, 13.0, 0.0, 2.0, 1.0, 0.0, 0.0, 0.0, 5.0, 14.0, 11.0, 16.0, 13.0, 2.0, 0.0, 0.0, 5.0, 15.0, 6.0, 0.0, 9.0, 8.0, 0.0, 0.0, 0.0, 3.0, 0.0, 0.0, 10.0, 8.0, 0.0, 0.0, 3.0, 14.0, 5.0, 7.0, 15.0, 1.0, 0.0, 0.0, 1.0, 9.0, 14.0, 15.0, 4.0, 0.0, 0.0], [0.0, 0.0, 0.0, 11.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 14.0, 0.0, 3.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 16.0, 13.0, 12.0, 1.0, 0.0, 0.0, 2.0, 15.0, 3.0, 0.0, 8.0, 7.0, 0.0, 0.0, 0.0, 8.0, 8.0, 0.0, 10.0, 7.0, 0.0, 0.0, 0.0, 1.0, 11.0, 12.0, 15.0, 4.0, 0.0], [0.0, 0.0, 5.0, 11.0, 16.0, 16.0, 5.0, 0.0, 0.0, 3.0, 15.0, 11.0, 10.0, 16.0, 4.0, 0.0, 0.0, 0.0, 4.0, 0.0, 10.0, 14.0, 0.0, 0.0, 0.0, 0.0, 7.0, 15.0, 16.0, 16.0, 12.0, 0.0, 0.0, 0.0, 9.0, 16.0, 14.0, 4.0, 1.0, 0.0, 0.0, 0.0, 1.0, 14.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 9.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 4.0, 15.0, 6.0, 15.0, 0.0, 0.0, 0.0, 0.0, 8.0, 11.0, 9.0, 11.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 14.0, 2.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 13.0, 0.0, 0.0, 0.0, 0.0, 6.0, 14.0, 2.0, 12.0, 9.0, 0.0, 0.0, 0.0, 5.0, 16.0, 11.0, 5.0, 13.0, 4.0, 0.0, 0.0, 0.0, 3.0, 8.0, 13.0, 16.0, 9.0, 0.0], [0.0, 0.0, 1.0, 12.0, 16.0, 14.0, 2.0, 0.0, 0.0, 0.0, 13.0, 11.0, 3.0, 16.0, 5.0, 0.0, 0.0, 4.0, 14.0, 0.0, 0.0, 15.0, 6.0, 0.0, 0.0, 6.0, 12.0, 8.0, 13.0, 16.0, 5.0, 0.0, 0.0, 0.0, 9.0, 12.0, 4.0, 10.0, 8.0, 0.0, 0.0, 0.0, 3.0, 0.0, 0.0, 11.0, 5.0, 0.0, 0.0, 0.0, 16.0, 14.0, 5.0, 15.0, 4.0, 0.0, 0.0, 0.0, 3.0, 12.0, 16.0, 11.0, 1.0, 0.0], [0.0, 0.0, 5.0, 15.0, 12.0, 4.0, 0.0, 0.0, 0.0, 2.0, 15.0, 8.0, 11.0, 16.0, 4.0, 0.0, 0.0, 8.0, 9.0, 0.0, 6.0, 16.0, 4.0, 0.0, 0.0, 8.0, 8.0, 0.0, 2.0, 10.0, 8.0, 0.0, 0.0, 8.0, 7.0, 0.0, 0.0, 13.0, 5.0, 0.0, 0.0, 2.0, 14.0, 0.0, 0.0, 16.0, 2.0, 0.0, 0.0, 0.0, 14.0, 8.0, 11.0, 10.0, 0.0, 0.0, 0.0, 0.0, 4.0, 13.0, 14.0, 0.0, 0.0, 0.0], [0.0, 0.0, 8.0, 14.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 12.0, 12.0, 16.0, 16.0, 12.0, 4.0, 0.0, 0.0, 7.0, 16.0, 16.0, 16.0, 12.0, 5.0], [0.0, 0.0, 3.0, 13.0, 15.0, 1.0, 0.0, 0.0, 0.0, 4.0, 15.0, 14.0, 15.0, 10.0, 0.0, 0.0, 0.0, 13.0, 13.0, 2.0, 13.0, 9.0, 0.0, 0.0, 0.0, 14.0, 10.0, 0.0, 15.0, 9.0, 0.0, 0.0, 0.0, 1.0, 1.0, 2.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0, 2.0, 15.0, 16.0, 16.0, 16.0, 6.0, 0.0, 0.0, 2.0, 15.0, 16.0, 10.0, 12.0, 4.0], [0.0, 0.0, 2.0, 11.0, 12.0, 1.0, 0.0, 0.0, 0.0, 2.0, 14.0, 9.0, 9.0, 8.0, 0.0, 0.0, 0.0, 10.0, 12.0, 0.0, 13.0, 6.0, 0.0, 0.0, 0.0, 6.0, 5.0, 2.0, 13.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 10.0, 9.0, 1.0, 0.0, 0.0, 0.0, 6.0, 7.0, 0.0, 12.0, 6.0, 0.0, 0.0, 0.0, 1.0, 12.0, 16.0, 16.0, 5.0, 0.0], [0.0, 0.0, 0.0, 11.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 10.0, 4.0, 10.0, 0.0, 0.0, 0.0, 6.0, 15.0, 2.0, 15.0, 8.0, 0.0, 0.0, 0.0, 10.0, 12.0, 4.0, 16.0, 7.0, 6.0, 0.0, 0.0, 10.0, 16.0, 15.0, 16.0, 14.0, 6.0, 0.0, 0.0, 3.0, 8.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 11.0, 0.0, 0.0, 0.0], [0.0, 1.0, 13.0, 14.0, 16.0, 15.0, 7.0, 0.0, 0.0, 4.0, 15.0, 3.0, 3.0, 4.0, 1.0, 0.0, 0.0, 4.0, 13.0, 5.0, 8.0, 5.0, 0.0, 0.0, 0.0, 6.0, 16.0, 12.0, 8.0, 14.0, 2.0, 0.0, 0.0, 0.0, 4.0, 0.0, 0.0, 12.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 14.0, 2.0, 0.0, 0.0, 2.0, 12.0, 3.0, 11.0, 9.0, 0.0, 0.0, 0.0, 1.0, 11.0, 16.0, 13.0, 1.0, 0.0, 0.0], [0.0, 0.0, 2.0, 15.0, 15.0, 3.0, 0.0, 0.0, 0.0, 0.0, 13.0, 15.0, 8.0, 3.0, 0.0, 0.0, 0.0, 5.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 15.0, 5.0, 4.0, 2.0, 0.0, 0.0, 0.0, 8.0, 16.0, 16.0, 16.0, 14.0, 2.0, 0.0, 0.0, 4.0, 16.0, 7.0, 1.0, 13.0, 8.0, 0.0, 0.0, 0.0, 11.0, 12.0, 1.0, 11.0, 13.0, 0.0, 0.0, 0.0, 1.0, 12.0, 16.0, 16.0, 10.0, 0.0], [0.0, 0.0, 4.0, 16.0, 16.0, 16.0, 12.0, 0.0, 0.0, 0.0, 4.0, 12.0, 11.0, 14.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 9.0, 0.0, 0.0, 0.0, 2.0, 8.0, 10.0, 16.0, 9.0, 0.0, 0.0, 0.0, 7.0, 13.0, 16.0, 14.0, 5.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 9.0, 0.0, 0.0, 0.0], [0.0, 0.0, 2.0, 13.0, 14.0, 6.0, 0.0, 0.0, 0.0, 0.0, 10.0, 13.0, 5.0, 16.0, 0.0, 0.0, 0.0, 0.0, 9.0, 9.0, 4.0, 14.0, 0.0, 0.0, 0.0, 0.0, 4.0, 15.0, 15.0, 5.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 14.0, 1.0, 0.0, 0.0, 0.0, 0.0, 14.0, 6.0, 8.0, 9.0, 0.0, 0.0, 0.0, 0.0, 13.0, 7.0, 1.0, 11.0, 5.0, 0.0, 0.0, 0.0, 3.0, 11.0, 15.0, 16.0, 12.0, 0.0], [0.0, 0.0, 8.0, 12.0, 13.0, 1.0, 0.0, 0.0, 0.0, 5.0, 12.0, 2.0, 6.0, 13.0, 0.0, 0.0, 0.0, 11.0, 5.0, 0.0, 6.0, 12.0, 0.0, 0.0, 0.0, 7.0, 10.0, 4.0, 13.0, 15.0, 0.0, 0.0, 0.0, 1.0, 11.0, 12.0, 7.0, 12.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 9.0, 0.0, 0.0, 0.0, 10.0, 5.0, 0.0, 3.0, 13.0, 0.0, 0.0, 0.0, 6.0, 12.0, 16.0, 13.0, 10.0, 0.0], [0.0, 0.0, 4.0, 15.0, 14.0, 4.0, 0.0, 0.0, 0.0, 1.0, 14.0, 8.0, 10.0, 13.0, 1.0, 0.0, 0.0, 5.0, 13.0, 0.0, 0.0, 16.0, 3.0, 0.0, 0.0, 6.0, 12.0, 0.0, 0.0, 13.0, 3.0, 0.0, 0.0, 7.0, 12.0, 0.0, 0.0, 14.0, 3.0, 0.0, 0.0, 1.0, 16.0, 0.0, 0.0, 14.0, 3.0, 0.0, 0.0, 0.0, 10.0, 11.0, 12.0, 14.0, 0.0, 0.0, 0.0, 0.0, 1.0, 11.0, 12.0, 3.0, 0.0, 0.0], [0.0, 0.0, 2.0, 10.0, 16.0, 11.0, 1.0, 0.0, 0.0, 0.0, 13.0, 13.0, 10.0, 16.0, 8.0, 0.0, 0.0, 4.0, 14.0, 1.0, 8.0, 14.0, 1.0, 0.0, 0.0, 4.0, 15.0, 12.0, 15.0, 8.0, 0.0, 0.0, 0.0, 0.0, 6.0, 7.0, 14.0, 5.0, 0.0, 0.0, 0.0, 1.0, 2.0, 0.0, 12.0, 5.0, 0.0, 0.0, 0.0, 8.0, 15.0, 6.0, 13.0, 4.0, 0.0, 0.0, 0.0, 0.0, 5.0, 11.0, 16.0, 3.0, 0.0, 0.0], [0.0, 0.0, 13.0, 16.0, 16.0, 16.0, 13.0, 0.0, 0.0, 4.0, 16.0, 9.0, 8.0, 5.0, 4.0, 0.0, 0.0, 9.0, 15.0, 7.0, 8.0, 2.0, 0.0, 0.0, 0.0, 11.0, 16.0, 16.0, 14.0, 15.0, 1.0, 0.0, 0.0, 1.0, 3.0, 0.0, 4.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 14.0, 0.0, 0.0, 0.0, 0.0, 11.0, 8.0, 16.0, 6.0, 0.0, 0.0, 0.0, 1.0, 15.0, 16.0, 10.0, 0.0, 0.0, 0.0], [0.0, 0.0, 9.0, 8.0, 12.0, 13.0, 1.0, 0.0, 0.0, 3.0, 15.0, 8.0, 5.0, 4.0, 0.0, 0.0, 0.0, 6.0, 9.0, 2.0, 6.0, 2.0, 0.0, 0.0, 0.0, 6.0, 16.0, 14.0, 9.0, 13.0, 4.0, 0.0, 0.0, 2.0, 7.0, 0.0, 0.0, 7.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 10.0, 0.0, 0.0, 0.0, 8.0, 5.0, 6.0, 14.0, 3.0, 0.0, 0.0, 0.0, 10.0, 14.0, 15.0, 5.0, 0.0, 0.0], [0.0, 0.0, 2.0, 13.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 6.0, 2.0, 0.0, 0.0, 0.0, 2.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 9.0, 1.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 16.0, 13.0, 2.0, 0.0, 0.0, 0.0, 1.0, 16.0, 6.0, 8.0, 14.0, 0.0, 0.0, 0.0, 0.0, 11.0, 10.0, 1.0, 16.0, 5.0, 0.0, 0.0, 0.0, 3.0, 15.0, 16.0, 16.0, 3.0, 0.0], [0.0, 0.0, 8.0, 12.0, 16.0, 16.0, 4.0, 0.0, 0.0, 0.0, 15.0, 6.0, 10.0, 5.0, 0.0, 0.0, 0.0, 4.0, 12.0, 2.0, 8.0, 6.0, 0.0, 0.0, 0.0, 8.0, 14.0, 14.0, 8.0, 13.0, 5.0, 0.0, 0.0, 3.0, 7.0, 0.0, 0.0, 8.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 2.0, 0.0, 0.0, 0.0, 5.0, 2.0, 5.0, 12.0, 0.0, 0.0, 0.0, 0.0, 7.0, 15.0, 15.0, 2.0, 0.0, 0.0], [0.0, 0.0, 2.0, 11.0, 13.0, 5.0, 0.0, 0.0, 0.0, 1.0, 14.0, 9.0, 8.0, 14.0, 0.0, 0.0, 0.0, 6.0, 13.0, 1.0, 2.0, 16.0, 2.0, 0.0, 0.0, 7.0, 7.0, 0.0, 0.0, 12.0, 5.0, 0.0, 0.0, 7.0, 9.0, 0.0, 0.0, 3.0, 9.0, 0.0, 0.0, 2.0, 12.0, 0.0, 0.0, 4.0, 11.0, 0.0, 0.0, 0.0, 12.0, 6.0, 4.0, 14.0, 7.0, 0.0, 0.0, 0.0, 3.0, 13.0, 16.0, 9.0, 0.0, 0.0], [0.0, 0.0, 3.0, 10.0, 15.0, 14.0, 4.0, 0.0, 0.0, 2.0, 14.0, 7.0, 9.0, 16.0, 8.0, 0.0, 0.0, 7.0, 12.0, 3.0, 14.0, 16.0, 0.0, 0.0, 0.0, 2.0, 14.0, 16.0, 13.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 0.0, 0.0, 0.0, 1.0, 3.0, 0.0, 0.0, 14.0, 0.0, 0.0, 0.0, 5.0, 15.0, 8.0, 2.0, 16.0, 0.0, 0.0, 0.0, 0.0, 4.0, 11.0, 16.0, 15.0, 0.0, 0.0], [0.0, 0.0, 0.0, 6.0, 15.0, 11.0, 2.0, 0.0, 0.0, 0.0, 6.0, 13.0, 4.0, 13.0, 5.0, 0.0, 0.0, 0.0, 7.0, 11.0, 0.0, 13.0, 3.0, 0.0, 0.0, 0.0, 2.0, 15.0, 13.0, 7.0, 0.0, 0.0, 0.0, 3.0, 13.0, 12.0, 16.0, 2.0, 0.0, 0.0, 0.0, 8.0, 15.0, 1.0, 9.0, 8.0, 0.0, 0.0, 0.0, 0.0, 7.0, 14.0, 8.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 5.0, 12.0, 16.0, 2.0, 0.0], [0.0, 0.0, 2.0, 10.0, 14.0, 10.0, 0.0, 0.0, 0.0, 1.0, 15.0, 9.0, 9.0, 16.0, 1.0, 0.0, 0.0, 7.0, 9.0, 0.0, 9.0, 12.0, 0.0, 0.0, 0.0, 7.0, 7.0, 3.0, 15.0, 15.0, 0.0, 0.0, 0.0, 2.0, 15.0, 15.0, 7.0, 16.0, 1.0, 0.0, 0.0, 0.0, 1.0, 2.0, 0.0, 9.0, 4.0, 0.0, 0.0, 0.0, 5.0, 13.0, 4.0, 8.0, 9.0, 0.0, 0.0, 0.0, 1.0, 10.0, 15.0, 16.0, 6.0, 0.0], [0.0, 0.0, 0.0, 9.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 3.0, 15.0, 5.0, 16.0, 0.0, 0.0, 0.0, 0.0, 7.0, 12.0, 7.0, 12.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 14.0, 1.0, 0.0, 0.0, 0.0, 3.0, 16.0, 8.0, 9.0, 11.0, 0.0, 0.0, 0.0, 0.0, 12.0, 13.0, 4.0, 12.0, 8.0, 0.0, 0.0, 0.0, 0.0, 8.0, 14.0, 16.0, 14.0, 0.0], [0.0, 0.0, 0.0, 9.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 14.0, 3.0, 2.0, 0.0, 0.0, 0.0, 0.0, 15.0, 2.0, 1.0, 14.0, 3.0, 0.0, 0.0, 5.0, 13.0, 0.0, 13.0, 8.0, 1.0, 0.0, 0.0, 8.0, 13.0, 3.0, 16.0, 14.0, 6.0, 0.0, 0.0, 6.0, 15.0, 16.0, 13.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 7.0, 0.0, 0.0, 0.0], [0.0, 0.0, 5.0, 14.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 3.0, 8.0, 15.0, 13.0, 11.0, 8.0, 0.0, 0.0, 5.0, 16.0, 16.0, 16.0, 16.0, 10.0], [0.0, 0.0, 4.0, 10.0, 15.0, 16.0, 4.0, 0.0, 0.0, 0.0, 13.0, 14.0, 9.0, 16.0, 3.0, 0.0, 0.0, 0.0, 2.0, 1.0, 5.0, 15.0, 0.0, 0.0, 0.0, 0.0, 3.0, 4.0, 13.0, 14.0, 2.0, 0.0, 0.0, 5.0, 16.0, 16.0, 16.0, 16.0, 8.0, 0.0, 0.0, 4.0, 9.0, 12.0, 14.0, 1.0, 0.0, 0.0, 0.0, 0.0, 5.0, 15.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 4.0, 0.0, 0.0, 0.0], [0.0, 0.0, 3.0, 15.0, 16.0, 16.0, 6.0, 0.0, 0.0, 0.0, 3.0, 14.0, 7.0, 15.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 14.0, 0.0, 0.0, 0.0, 0.0, 2.0, 9.0, 15.0, 16.0, 14.0, 0.0, 0.0, 0.0, 7.0, 16.0, 14.0, 6.0, 2.0, 0.0, 0.0, 0.0, 0.0, 8.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 12.0, 0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 1.0, 10.0, 15.0, 10.0, 0.0, 0.0, 0.0, 1.0, 13.0, 11.0, 8.0, 12.0, 0.0, 0.0, 0.0, 2.0, 9.0, 0.0, 13.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 10.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 9.0, 10.0, 0.0, 0.0, 0.0, 13.0, 7.0, 0.0, 2.0, 16.0, 0.0, 0.0, 0.0, 2.0, 11.0, 15.0, 16.0, 12.0, 0.0], [0.0, 0.0, 11.0, 13.0, 12.0, 12.0, 3.0, 0.0, 0.0, 5.0, 14.0, 4.0, 4.0, 7.0, 2.0, 0.0, 0.0, 7.0, 10.0, 1.0, 4.0, 1.0, 0.0, 0.0, 0.0, 8.0, 15.0, 14.0, 12.0, 15.0, 2.0, 0.0, 0.0, 2.0, 7.0, 0.0, 0.0, 12.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 3.0, 0.0, 0.0, 1.0, 8.0, 3.0, 10.0, 12.0, 0.0, 0.0, 0.0, 1.0, 12.0, 16.0, 12.0, 2.0, 0.0, 0.0], [0.0, 0.0, 2.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 16.0, 14.0, 2.0, 0.0, 0.0, 0.0, 0.0, 7.0, 8.0, 14.0, 10.0, 0.0, 0.0, 0.0, 0.0, 12.0, 15.0, 14.0, 16.0, 14.0, 9.0, 0.0, 0.0, 2.0, 10.0, 13.0, 16.0, 10.0, 3.0], [0.0, 0.0, 1.0, 15.0, 11.0, 1.0, 0.0, 0.0, 0.0, 0.0, 9.0, 12.0, 8.0, 12.0, 0.0, 0.0, 0.0, 1.0, 15.0, 1.0, 6.0, 16.0, 2.0, 0.0, 0.0, 2.0, 12.0, 0.0, 1.0, 11.0, 6.0, 0.0, 0.0, 5.0, 10.0, 0.0, 0.0, 11.0, 4.0, 0.0, 0.0, 2.0, 13.0, 0.0, 0.0, 10.0, 3.0, 0.0, 0.0, 0.0, 13.0, 2.0, 3.0, 13.0, 3.0, 0.0, 0.0, 0.0, 1.0, 13.0, 16.0, 15.0, 1.0, 0.0], [0.0, 0.0, 5.0, 16.0, 15.0, 4.0, 0.0, 0.0, 0.0, 3.0, 15.0, 13.0, 13.0, 12.0, 0.0, 0.0, 0.0, 7.0, 14.0, 1.0, 0.0, 16.0, 5.0, 0.0, 0.0, 12.0, 9.0, 0.0, 1.0, 11.0, 10.0, 0.0, 0.0, 10.0, 10.0, 0.0, 0.0, 7.0, 13.0, 0.0, 0.0, 6.0, 15.0, 0.0, 0.0, 8.0, 12.0, 0.0, 0.0, 1.0, 14.0, 7.0, 6.0, 15.0, 11.0, 0.0, 0.0, 0.0, 5.0, 15.0, 16.0, 14.0, 3.0, 0.0], [0.0, 0.0, 3.0, 11.0, 13.0, 1.0, 0.0, 0.0, 0.0, 6.0, 16.0, 11.0, 13.0, 6.0, 0.0, 0.0, 1.0, 16.0, 8.0, 0.0, 11.0, 4.0, 0.0, 0.0, 0.0, 4.0, 4.0, 0.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 9.0, 4.0, 5.0, 0.0, 0.0, 0.0, 1.0, 14.0, 13.0, 12.0, 15.0, 5.0], [0.0, 0.0, 2.0, 14.0, 8.0, 0.0, 0.0, 0.0, 0.0, 3.0, 14.0, 10.0, 16.0, 1.0, 0.0, 0.0, 0.0, 11.0, 8.0, 2.0, 15.0, 0.0, 0.0, 0.0, 0.0, 9.0, 8.0, 1.0, 13.0, 0.0, 0.0, 0.0, 0.0, 1.0, 3.0, 6.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 9.0, 4.0, 7.0, 3.0, 0.0, 0.0, 1.0, 14.0, 16.0, 16.0, 13.0, 8.0], [0.0, 0.0, 9.0, 14.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 10.0, 6.0, 12.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 13.0, 5.0, 0.0, 0.0, 2.0, 12.0, 15.0, 16.0, 15.0, 14.0, 0.0, 0.0, 2.0, 12.0, 16.0, 7.0, 0.0, 1.0, 0.0, 0.0, 0.0, 3.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 11.0, 0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 6.0, 14.0, 4.0, 0.0, 0.0, 0.0, 0.0, 4.0, 13.0, 2.0, 12.0, 0.0, 0.0, 0.0, 0.0, 8.0, 6.0, 0.0, 12.0, 0.0, 0.0, 0.0, 0.0, 2.0, 12.0, 6.0, 14.0, 0.0, 0.0, 0.0, 0.0, 1.0, 12.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 13.0, 11.0, 6.0, 11.0, 0.0, 0.0, 0.0, 0.0, 9.0, 11.0, 2.0, 7.0, 8.0, 0.0, 0.0, 0.0, 0.0, 5.0, 10.0, 15.0, 13.0, 0.0], [0.0, 0.0, 7.0, 13.0, 14.0, 1.0, 0.0, 0.0, 0.0, 7.0, 15.0, 9.0, 13.0, 7.0, 0.0, 0.0, 0.0, 5.0, 15.0, 3.0, 8.0, 8.0, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 12.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 15.0, 5.0, 4.0, 4.0, 0.0, 0.0, 0.0, 6.0, 16.0, 16.0, 13.0, 16.0, 6.0], [0.0, 0.0, 0.0, 7.0, 13.0, 9.0, 1.0, 0.0, 0.0, 0.0, 7.0, 15.0, 8.0, 15.0, 5.0, 0.0, 0.0, 1.0, 15.0, 2.0, 0.0, 10.0, 8.0, 0.0, 0.0, 4.0, 12.0, 0.0, 0.0, 12.0, 7.0, 0.0, 0.0, 5.0, 9.0, 0.0, 0.0, 14.0, 3.0, 0.0, 0.0, 4.0, 14.0, 0.0, 0.0, 11.0, 0.0, 0.0, 0.0, 1.0, 16.0, 8.0, 8.0, 11.0, 0.0, 0.0, 0.0, 0.0, 2.0, 11.0, 14.0, 5.0, 0.0, 0.0], [0.0, 0.0, 10.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 10.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 12.0, 16.0, 12.0, 12.0, 4.0, 0.0, 0.0, 7.0, 16.0, 16.0, 16.0, 16.0, 11.0], [0.0, 0.0, 3.0, 13.0, 7.0, 0.0, 0.0, 0.0, 0.0, 3.0, 15.0, 8.0, 14.0, 0.0, 0.0, 0.0, 0.0, 10.0, 8.0, 1.0, 14.0, 0.0, 0.0, 0.0, 0.0, 8.0, 11.0, 5.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 12.0, 10.0, 7.0, 5.0, 2.0, 0.0, 0.0, 2.0, 14.0, 14.0, 12.0, 14.0, 7.0], [0.0, 0.0, 3.0, 12.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 13.0, 16.0, 12.0, 4.0, 0.0, 0.0, 0.0, 3.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 13.0, 5.0, 4.0, 0.0, 0.0, 0.0, 0.0, 8.0, 14.0, 3.0, 16.0, 2.0, 0.0, 0.0, 0.0, 4.0, 16.0, 4.0, 13.0, 7.0, 0.0, 0.0, 0.0, 0.0, 11.0, 11.0, 11.0, 14.0, 0.0, 0.0, 0.0, 0.0, 3.0, 12.0, 16.0, 15.0, 0.0, 0.0], [0.0, 0.0, 1.0, 9.0, 16.0, 6.0, 0.0, 0.0, 0.0, 4.0, 14.0, 10.0, 11.0, 10.0, 0.0, 0.0, 0.0, 12.0, 10.0, 0.0, 13.0, 6.0, 0.0, 0.0, 0.0, 6.0, 7.0, 4.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 12.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 10.0, 0.0, 0.0, 0.0, 8.0, 13.0, 3.0, 0.0, 14.0, 3.0, 0.0, 0.0, 0.0, 8.0, 16.0, 16.0, 13.0, 3.0], [0.0, 0.0, 4.0, 12.0, 16.0, 14.0, 7.0, 0.0, 0.0, 2.0, 16.0, 6.0, 0.0, 7.0, 12.0, 0.0, 0.0, 0.0, 7.0, 0.0, 3.0, 13.0, 3.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 12.0, 0.0, 0.0, 0.0, 0.0, 2.0, 0.0, 0.0, 13.0, 5.0, 0.0, 0.0, 3.0, 16.0, 7.0, 1.0, 12.0, 4.0, 0.0, 0.0, 0.0, 3.0, 12.0, 16.0, 15.0, 2.0, 0.0], [0.0, 0.0, 3.0, 8.0, 12.0, 15.0, 16.0, 2.0, 0.0, 0.0, 12.0, 14.0, 10.0, 13.0, 15.0, 0.0, 0.0, 0.0, 1.0, 1.0, 2.0, 14.0, 6.0, 0.0, 0.0, 0.0, 2.0, 8.0, 13.0, 16.0, 8.0, 0.0, 0.0, 0.0, 9.0, 16.0, 16.0, 10.0, 5.0, 0.0, 0.0, 0.0, 1.0, 8.0, 12.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 5.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 6.0, 15.0, 12.0, 1.0, 0.0, 0.0, 4.0, 12.0, 16.0, 12.0, 16.0, 3.0, 0.0, 0.0, 15.0, 16.0, 6.0, 4.0, 16.0, 3.0, 0.0, 0.0, 4.0, 5.0, 1.0, 15.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 10.0, 1.0, 0.0, 0.0, 0.0, 3.0, 2.0, 4.0, 15.0, 7.0, 0.0, 0.0, 0.0, 12.0, 15.0, 8.0, 11.0, 14.0, 0.0, 0.0, 0.0, 1.0, 8.0, 15.0, 16.0, 11.0, 0.0], [0.0, 0.0, 0.0, 7.0, 13.0, 10.0, 0.0, 0.0, 0.0, 0.0, 10.0, 13.0, 5.0, 13.0, 0.0, 0.0, 0.0, 7.0, 12.0, 0.0, 8.0, 8.0, 0.0, 0.0, 0.0, 6.0, 6.0, 3.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 13.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 7.0, 0.0, 0.0, 0.0, 5.0, 9.0, 1.0, 2.0, 12.0, 0.0, 0.0, 0.0, 0.0, 9.0, 15.0, 16.0, 9.0, 0.0], [0.0, 0.0, 0.0, 12.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 7.0, 2.0, 14.0, 1.0, 0.0, 0.0, 6.0, 16.0, 2.0, 9.0, 16.0, 11.0, 0.0, 0.0, 9.0, 14.0, 9.0, 16.0, 15.0, 6.0, 0.0, 0.0, 5.0, 16.0, 16.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 2.0, 11.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 13.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 10.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 11.0, 14.0, 5.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 14.0, 11.0, 3.0, 0.0, 0.0, 0.0, 2.0, 14.0, 0.0, 7.0, 13.0, 0.0, 0.0, 0.0, 0.0, 10.0, 9.0, 1.0, 15.0, 2.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 15.0, 1.0, 0.0], [0.0, 0.0, 0.0, 9.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 12.0, 5.0, 0.0, 0.0, 0.0, 2.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 6.0, 2.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 16.0, 16.0, 7.0, 0.0, 0.0, 0.0, 2.0, 16.0, 7.0, 7.0, 16.0, 4.0, 0.0, 0.0, 0.0, 9.0, 13.0, 3.0, 14.0, 9.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 16.0, 7.0, 0.0], [0.0, 0.0, 0.0, 8.0, 15.0, 10.0, 0.0, 0.0, 0.0, 0.0, 8.0, 13.0, 6.0, 1.0, 0.0, 0.0, 0.0, 1.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 12.0, 12.0, 9.0, 2.0, 0.0, 0.0, 1.0, 15.0, 1.0, 0.0, 9.0, 10.0, 0.0, 0.0, 0.0, 10.0, 9.0, 4.0, 13.0, 3.0, 0.0, 0.0, 0.0, 0.0, 11.0, 15.0, 5.0, 0.0, 0.0], [0.0, 0.0, 3.0, 15.0, 6.0, 0.0, 0.0, 0.0, 0.0, 1.0, 14.0, 13.0, 4.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 5.0, 16.0, 7.0, 0.0, 0.0, 0.0, 8.0, 16.0, 8.0, 16.0, 9.0, 5.0, 0.0, 0.0, 10.0, 16.0, 14.0, 16.0, 16.0, 9.0, 0.0, 0.0, 3.0, 11.0, 16.0, 11.0, 2.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 15.0, 4.0, 0.0, 0.0, 0.0], [0.0, 0.0, 1.0, 8.0, 14.0, 15.0, 5.0, 0.0, 0.0, 1.0, 14.0, 8.0, 1.0, 14.0, 8.0, 0.0, 0.0, 7.0, 12.0, 0.0, 7.0, 16.0, 8.0, 0.0, 0.0, 4.0, 14.0, 12.0, 12.0, 9.0, 8.0, 0.0, 0.0, 0.0, 1.0, 3.0, 0.0, 9.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 6.0, 0.0, 0.0, 0.0, 12.0, 10.0, 4.0, 16.0, 0.0, 0.0, 0.0, 0.0, 2.0, 8.0, 16.0, 7.0, 0.0, 0.0], [0.0, 0.0, 3.0, 15.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 2.0, 12.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 15.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 3.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 6.0, 8.0, 12.0, 15.0, 12.0, 10.0, 0.0, 0.0, 2.0, 13.0, 16.0, 16.0, 15.0, 11.0], [0.0, 1.0, 9.0, 12.0, 13.0, 11.0, 0.0, 0.0, 0.0, 3.0, 15.0, 4.0, 3.0, 3.0, 0.0, 0.0, 0.0, 5.0, 12.0, 7.0, 6.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 14.0, 13.0, 7.0, 0.0, 0.0, 0.0, 1.0, 8.0, 0.0, 2.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 14.0, 0.0, 0.0, 0.0, 0.0, 6.0, 2.0, 10.0, 6.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 13.0, 1.0, 0.0, 0.0], [0.0, 0.0, 0.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 16.0, 11.0, 0.0, 0.0, 0.0, 4.0, 16.0, 11.0, 13.0, 14.0, 0.0, 0.0, 0.0, 7.0, 12.0, 1.0, 3.0, 13.0, 0.0, 0.0, 0.0, 4.0, 10.0, 0.0, 0.0, 16.0, 0.0, 0.0, 0.0, 2.0, 14.0, 0.0, 1.0, 16.0, 1.0, 0.0, 0.0, 0.0, 9.0, 7.0, 9.0, 14.0, 0.0, 0.0, 0.0, 0.0, 1.0, 11.0, 15.0, 3.0, 0.0, 0.0], [0.0, 0.0, 6.0, 11.0, 13.0, 6.0, 0.0, 0.0, 0.0, 7.0, 14.0, 6.0, 7.0, 13.0, 0.0, 0.0, 0.0, 10.0, 7.0, 0.0, 7.0, 10.0, 0.0, 0.0, 0.0, 4.0, 13.0, 12.0, 15.0, 10.0, 0.0, 0.0, 0.0, 0.0, 1.0, 4.0, 0.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 1.0, 0.0, 0.0, 0.0, 8.0, 2.0, 0.0, 12.0, 0.0, 0.0, 0.0, 0.0, 6.0, 14.0, 15.0, 12.0, 0.0, 0.0], [0.0, 0.0, 9.0, 16.0, 16.0, 13.0, 2.0, 0.0, 0.0, 2.0, 15.0, 2.0, 3.0, 3.0, 0.0, 0.0, 0.0, 7.0, 9.0, 0.0, 1.0, 4.0, 0.0, 0.0, 0.0, 8.0, 12.0, 7.0, 13.0, 14.0, 7.0, 0.0, 0.0, 6.0, 16.0, 8.0, 0.0, 5.0, 8.0, 0.0, 0.0, 1.0, 3.0, 0.0, 0.0, 9.0, 6.0, 0.0, 0.0, 0.0, 3.0, 4.0, 1.0, 15.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 12.0, 7.0, 0.0, 0.0], [0.0, 0.0, 7.0, 15.0, 13.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 15.0, 16.0, 5.0, 0.0, 0.0, 0.0, 12.0, 16.0, 5.0, 15.0, 6.0, 0.0, 0.0, 0.0, 0.0, 7.0, 2.0, 13.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 1.0, 15.0, 16.0, 12.0, 15.0, 7.0, 0.0, 0.0, 5.0, 16.0, 14.0, 12.0, 12.0, 11.0], [0.0, 0.0, 0.0, 6.0, 14.0, 10.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 7.0, 13.0, 2.0, 0.0, 0.0, 0.0, 4.0, 16.0, 3.0, 14.0, 1.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 5.0, 14.0, 16.0, 6.0, 0.0, 0.0, 0.0, 3.0, 15.0, 4.0, 1.0, 13.0, 4.0, 0.0, 0.0, 2.0, 14.0, 11.0, 5.0, 5.0, 12.0, 0.0, 0.0, 0.0, 0.0, 6.0, 10.0, 15.0, 15.0, 0.0], [0.0, 0.0, 9.0, 15.0, 13.0, 0.0, 0.0, 0.0, 0.0, 5.0, 14.0, 7.0, 13.0, 2.0, 0.0, 0.0, 0.0, 12.0, 10.0, 1.0, 13.0, 0.0, 0.0, 0.0, 0.0, 4.0, 7.0, 6.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 11.0, 0.0, 6.0, 5.0, 0.0, 0.0, 0.0, 11.0, 16.0, 16.0, 16.0, 16.0, 3.0], [0.0, 0.0, 2.0, 11.0, 15.0, 2.0, 0.0, 0.0, 0.0, 0.0, 12.0, 6.0, 11.0, 9.0, 0.0, 0.0, 0.0, 4.0, 11.0, 0.0, 7.0, 16.0, 0.0, 0.0, 0.0, 5.0, 6.0, 0.0, 1.0, 16.0, 6.0, 0.0, 0.0, 5.0, 4.0, 0.0, 0.0, 10.0, 7.0, 0.0, 0.0, 0.0, 10.0, 0.0, 0.0, 10.0, 5.0, 0.0, 0.0, 0.0, 13.0, 2.0, 6.0, 12.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 12.0, 1.0, 0.0, 0.0], [0.0, 0.0, 1.0, 12.0, 14.0, 3.0, 0.0, 0.0, 0.0, 1.0, 13.0, 11.0, 9.0, 13.0, 0.0, 0.0, 0.0, 7.0, 11.0, 0.0, 1.0, 16.0, 4.0, 0.0, 0.0, 8.0, 6.0, 0.0, 2.0, 15.0, 0.0, 0.0, 0.0, 4.0, 12.0, 0.0, 0.0, 15.0, 0.0, 0.0, 0.0, 0.0, 15.0, 1.0, 1.0, 15.0, 0.0, 0.0, 0.0, 0.0, 7.0, 10.0, 7.0, 13.0, 0.0, 0.0, 0.0, 0.0, 1.0, 13.0, 16.0, 7.0, 0.0, 0.0], [0.0, 0.0, 5.0, 13.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 11.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0, 10.0, 13.0, 16.0, 15.0, 16.0, 9.0, 0.0, 0.0, 3.0, 12.0, 16.0, 16.0, 11.0, 2.0], [0.0, 0.0, 6.0, 14.0, 16.0, 13.0, 0.0, 0.0, 0.0, 0.0, 9.0, 9.0, 9.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 9.0, 0.0, 0.0, 0.0, 0.0, 2.0, 10.0, 16.0, 16.0, 12.0, 0.0, 0.0, 0.0, 13.0, 16.0, 12.0, 7.0, 3.0, 0.0, 0.0, 0.0, 3.0, 14.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 13.0, 0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 6.0, 13.0, 8.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 8.0, 4.0, 0.0, 0.0, 0.0, 3.0, 15.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 12.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 13.0, 13.0, 3.0, 0.0, 0.0, 0.0, 2.0, 15.0, 2.0, 5.0, 14.0, 0.0, 0.0, 0.0, 0.0, 9.0, 10.0, 2.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 15.0, 12.0, 0.0, 0.0], [0.0, 0.0, 1.0, 7.0, 12.0, 3.0, 0.0, 0.0, 0.0, 4.0, 16.0, 12.0, 12.0, 10.0, 0.0, 0.0, 0.0, 14.0, 9.0, 0.0, 11.0, 8.0, 0.0, 0.0, 0.0, 7.0, 5.0, 0.0, 15.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 14.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 13.0, 9.0, 0.0, 0.0, 0.0, 5.0, 10.0, 4.0, 0.0, 14.0, 5.0, 0.0, 0.0, 1.0, 9.0, 15.0, 16.0, 16.0, 8.0], [0.0, 0.0, 10.0, 15.0, 2.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 12.0, 13.0, 12.0, 9.0, 0.0, 0.0, 0.0, 0.0, 8.0, 9.0, 13.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 14.0, 4.0, 5.0, 8.0, 3.0, 0.0, 0.0, 8.0, 16.0, 16.0, 16.0, 16.0, 9.0], [0.0, 0.0, 6.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 16.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 15.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 1.0, 2.0, 15.0, 8.0, 0.0, 0.0, 0.0, 0.0, 6.0, 9.0, 14.0, 15.0, 13.0, 7.0, 0.0, 0.0, 5.0, 15.0, 16.0, 16.0, 15.0, 3.0], [0.0, 0.0, 4.0, 13.0, 14.0, 16.0, 3.0, 0.0, 0.0, 0.0, 6.0, 11.0, 10.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 14.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 16.0, 16.0, 12.0, 0.0, 0.0, 0.0, 15.0, 13.0, 16.0, 7.0, 2.0, 0.0, 0.0, 0.0, 0.0, 8.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 14.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 13.0, 1.0, 0.0, 0.0, 0.0], [0.0, 0.0, 2.0, 15.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 14.0, 0.0, 5.0, 0.0, 0.0, 0.0, 0.0, 13.0, 9.0, 9.0, 16.0, 3.0, 0.0, 0.0, 6.0, 15.0, 6.0, 16.0, 3.0, 0.0, 0.0, 0.0, 9.0, 13.0, 12.0, 15.0, 12.0, 8.0, 0.0, 0.0, 9.0, 16.0, 16.0, 14.0, 7.0, 2.0, 0.0, 0.0, 1.0, 7.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 7.0, 0.0, 0.0, 0.0], [0.0, 0.0, 2.0, 13.0, 16.0, 8.0, 0.0, 0.0, 0.0, 1.0, 13.0, 16.0, 10.0, 7.0, 0.0, 0.0, 0.0, 5.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 16.0, 13.0, 1.0, 0.0, 0.0, 0.0, 5.0, 16.0, 6.0, 14.0, 9.0, 0.0, 0.0, 0.0, 0.0, 13.0, 12.0, 14.0, 15.0, 0.0, 0.0, 0.0, 0.0, 3.0, 12.0, 16.0, 11.0, 0.0, 0.0], [0.0, 0.0, 0.0, 6.0, 13.0, 7.0, 0.0, 0.0, 0.0, 0.0, 10.0, 13.0, 6.0, 15.0, 0.0, 0.0, 0.0, 0.0, 12.0, 8.0, 4.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 15.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 15.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 5.0, 15.0, 2.0, 0.0, 0.0, 0.0, 14.0, 10.0, 2.0, 5.0, 11.0, 0.0, 0.0, 0.0, 2.0, 7.0, 13.0, 15.0, 8.0, 0.0], [0.0, 0.0, 2.0, 15.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 15.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 10.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 16.0, 15.0, 9.0, 16.0, 5.0, 0.0, 0.0, 3.0, 15.0, 16.0, 15.0, 7.0, 1.0], [0.0, 0.0, 0.0, 6.0, 15.0, 6.0, 0.0, 0.0, 0.0, 1.0, 11.0, 13.0, 8.0, 11.0, 0.0, 0.0, 0.0, 9.0, 13.0, 0.0, 9.0, 10.0, 0.0, 0.0, 0.0, 8.0, 9.0, 3.0, 15.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 14.0, 3.0, 0.0, 0.0, 0.0, 0.0, 3.0, 0.0, 5.0, 13.0, 2.0, 0.0, 0.0, 0.0, 9.0, 12.0, 5.0, 10.0, 7.0, 0.0, 0.0, 0.0, 0.0, 6.0, 12.0, 15.0, 5.0, 0.0], [0.0, 0.0, 5.0, 11.0, 13.0, 6.0, 0.0, 0.0, 0.0, 4.0, 15.0, 8.0, 7.0, 16.0, 3.0, 0.0, 0.0, 8.0, 7.0, 0.0, 4.0, 16.0, 1.0, 0.0, 0.0, 4.0, 11.0, 1.0, 10.0, 16.0, 4.0, 0.0, 0.0, 2.0, 15.0, 15.0, 8.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 6.0, 0.0, 0.0, 1.0, 16.0, 9.0, 0.0, 12.0, 5.0, 0.0, 0.0, 0.0, 4.0, 11.0, 16.0, 16.0, 2.0, 0.0], [0.0, 0.0, 4.0, 15.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 15.0, 10.0, 0.0, 0.0, 0.0, 0.0, 4.0, 12.0, 14.0, 16.0, 13.0, 13.0, 0.0, 0.0, 2.0, 13.0, 16.0, 16.0, 15.0, 8.0], [0.0, 0.0, 4.0, 15.0, 16.0, 12.0, 0.0, 0.0, 0.0, 0.0, 6.0, 9.0, 12.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 9.0, 0.0, 0.0, 0.0, 0.0, 2.0, 4.0, 15.0, 10.0, 4.0, 0.0, 0.0, 2.0, 15.0, 16.0, 16.0, 15.0, 7.0, 0.0, 0.0, 0.0, 8.0, 13.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 13.0, 0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 11.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 11.0, 2.0, 0.0, 0.0, 0.0, 3.0, 16.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 12.0, 4.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 13.0, 15.0, 11.0, 0.0, 0.0, 0.0, 1.0, 15.0, 8.0, 3.0, 16.0, 5.0, 0.0, 0.0, 0.0, 9.0, 14.0, 5.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 16.0, 10.0, 0.0], [0.0, 0.0, 0.0, 7.0, 13.0, 8.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 8.0, 15.0, 0.0, 0.0, 0.0, 0.0, 4.0, 12.0, 8.0, 11.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 16.0, 2.0, 0.0, 0.0, 0.0, 2.0, 16.0, 7.0, 9.0, 11.0, 0.0, 0.0, 0.0, 0.0, 9.0, 12.0, 1.0, 14.0, 6.0, 0.0, 0.0, 0.0, 0.0, 6.0, 15.0, 15.0, 12.0, 0.0], [0.0, 0.0, 1.0, 14.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 13.0, 3.0, 7.0, 1.0, 0.0, 0.0, 1.0, 16.0, 6.0, 5.0, 16.0, 3.0, 0.0, 0.0, 7.0, 13.0, 0.0, 14.0, 11.0, 3.0, 0.0, 0.0, 12.0, 13.0, 5.0, 16.0, 16.0, 9.0, 0.0, 0.0, 13.0, 16.0, 16.0, 15.0, 6.0, 0.0, 0.0, 0.0, 0.0, 3.0, 12.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 10.0, 0.0, 0.0, 0.0], [0.0, 0.0, 3.0, 11.0, 15.0, 8.0, 0.0, 0.0, 0.0, 4.0, 14.0, 8.0, 13.0, 14.0, 0.0, 0.0, 0.0, 8.0, 11.0, 3.0, 15.0, 6.0, 0.0, 0.0, 0.0, 1.0, 1.0, 9.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 13.0, 7.0, 0.0, 0.0, 0.0, 9.0, 8.0, 2.0, 6.0, 11.0, 0.0, 0.0, 0.0, 4.0, 10.0, 14.0, 16.0, 10.0, 0.0], [0.0, 0.0, 5.0, 16.0, 14.0, 8.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 14.0, 16.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 14.0, 16.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 16.0, 14.0, 3.0, 0.0, 0.0, 0.0, 6.0, 16.0, 16.0, 16.0, 3.0, 0.0], [0.0, 0.0, 0.0, 15.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 15.0, 2.0, 13.0, 5.0, 0.0, 0.0, 0.0, 13.0, 9.0, 2.0, 15.0, 2.0, 0.0, 0.0, 4.0, 14.0, 1.0, 10.0, 12.0, 2.0, 0.0, 0.0, 10.0, 14.0, 8.0, 16.0, 16.0, 10.0, 0.0, 0.0, 10.0, 16.0, 16.0, 15.0, 5.0, 0.0, 0.0, 0.0, 0.0, 2.0, 12.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 5.0, 0.0, 0.0, 0.0], [0.0, 0.0, 4.0, 13.0, 14.0, 8.0, 0.0, 0.0, 0.0, 3.0, 14.0, 3.0, 1.0, 16.0, 3.0, 0.0, 0.0, 7.0, 9.0, 0.0, 0.0, 14.0, 6.0, 0.0, 0.0, 8.0, 4.0, 0.0, 0.0, 16.0, 4.0, 0.0, 0.0, 8.0, 6.0, 0.0, 0.0, 16.0, 0.0, 0.0, 0.0, 3.0, 11.0, 0.0, 1.0, 14.0, 0.0, 0.0, 0.0, 0.0, 12.0, 4.0, 6.0, 11.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 14.0, 1.0, 0.0, 0.0], [0.0, 0.0, 8.0, 12.0, 14.0, 12.0, 3.0, 0.0, 0.0, 0.0, 12.0, 5.0, 0.0, 3.0, 0.0, 0.0, 0.0, 0.0, 16.0, 2.0, 4.0, 1.0, 0.0, 0.0, 0.0, 4.0, 16.0, 14.0, 12.0, 15.0, 4.0, 0.0, 0.0, 0.0, 4.0, 0.0, 0.0, 8.0, 8.0, 0.0, 0.0, 1.0, 0.0, 0.0, 0.0, 11.0, 5.0, 0.0, 0.0, 6.0, 14.0, 1.0, 2.0, 15.0, 1.0, 0.0, 0.0, 0.0, 8.0, 14.0, 16.0, 4.0, 0.0, 0.0], [0.0, 0.0, 2.0, 9.0, 13.0, 8.0, 0.0, 0.0, 0.0, 1.0, 14.0, 11.0, 8.0, 14.0, 0.0, 0.0, 0.0, 9.0, 14.0, 0.0, 14.0, 6.0, 0.0, 0.0, 0.0, 0.0, 2.0, 4.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 12.0, 12.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 9.0, 0.0, 0.0, 0.0, 14.0, 13.0, 4.0, 10.0, 11.0, 0.0, 0.0, 0.0, 3.0, 10.0, 14.0, 15.0, 5.0, 0.0], [0.0, 0.0, 0.0, 13.0, 15.0, 4.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 9.0, 4.0, 0.0, 0.0, 0.0, 1.0, 16.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 16.0, 14.0, 4.0, 0.0, 0.0, 0.0, 2.0, 15.0, 9.0, 7.0, 15.0, 5.0, 0.0, 0.0, 0.0, 11.0, 13.0, 4.0, 12.0, 13.0, 0.0, 0.0, 0.0, 1.0, 13.0, 16.0, 16.0, 10.0, 0.0], [0.0, 0.0, 2.0, 11.0, 13.0, 4.0, 0.0, 0.0, 0.0, 1.0, 13.0, 7.0, 8.0, 15.0, 0.0, 0.0, 0.0, 6.0, 11.0, 0.0, 5.0, 13.0, 0.0, 0.0, 0.0, 9.0, 7.0, 2.0, 14.0, 14.0, 0.0, 0.0, 0.0, 3.0, 14.0, 15.0, 8.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 5.0, 0.0, 0.0, 0.0, 11.0, 7.0, 0.0, 10.0, 7.0, 0.0, 0.0, 0.0, 4.0, 10.0, 15.0, 15.0, 3.0, 0.0], [0.0, 0.0, 0.0, 11.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 10.0, 7.0, 0.0, 0.0, 0.0, 3.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 13.0, 4.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 8.0, 16.0, 7.0, 0.0, 0.0, 0.0, 4.0, 16.0, 3.0, 7.0, 16.0, 2.0, 0.0, 0.0, 0.0, 13.0, 13.0, 8.0, 16.0, 5.0, 0.0, 0.0, 0.0, 1.0, 11.0, 16.0, 16.0, 1.0, 0.0], [0.0, 0.0, 0.0, 13.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 1.0, 15.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 5.0, 15.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 15.0, 1.0, 0.0, 0.0, 0.0, 1.0, 11.0, 9.0, 16.0, 11.0, 2.0, 0.0, 0.0, 0.0, 11.0, 16.0, 16.0, 16.0, 16.0], [0.0, 0.0, 4.0, 13.0, 16.0, 14.0, 0.0, 0.0, 0.0, 0.0, 13.0, 10.0, 11.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 11.0, 0.0, 0.0, 0.0, 0.0, 1.0, 6.0, 14.0, 16.0, 8.0, 0.0, 0.0, 0.0, 11.0, 16.0, 15.0, 8.0, 5.0, 0.0, 0.0, 0.0, 2.0, 11.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 14.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 2.0, 0.0, 0.0, 0.0], [0.0, 0.0, 10.0, 12.0, 13.0, 16.0, 2.0, 0.0, 0.0, 4.0, 15.0, 6.0, 4.0, 4.0, 0.0, 0.0, 0.0, 5.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 16.0, 16.0, 9.0, 0.0, 0.0, 0.0, 2.0, 11.0, 3.0, 3.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 13.0, 0.0, 0.0, 0.0, 0.0, 4.0, 1.0, 9.0, 10.0, 0.0, 0.0, 0.0, 0.0, 16.0, 16.0, 13.0, 1.0, 0.0, 0.0], [0.0, 0.0, 0.0, 12.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 3.0, 9.0, 3.0, 0.0, 0.0, 0.0, 14.0, 7.0, 6.0, 16.0, 2.0, 0.0, 0.0, 3.0, 15.0, 2.0, 10.0, 10.0, 0.0, 0.0, 0.0, 10.0, 9.0, 1.0, 16.0, 12.0, 10.0, 0.0, 0.0, 14.0, 11.0, 14.0, 16.0, 11.0, 1.0, 0.0, 0.0, 9.0, 16.0, 15.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 8.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 10.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 5.0, 3.0, 3.0, 0.0, 0.0, 0.0, 15.0, 7.0, 0.0, 13.0, 11.0, 0.0, 0.0, 7.0, 14.0, 1.0, 7.0, 16.0, 8.0, 0.0, 0.0, 9.0, 13.0, 5.0, 15.0, 13.0, 1.0, 0.0, 0.0, 11.0, 16.0, 16.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 4.0, 9.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 15.0, 0.0, 0.0, 0.0], [0.0, 0.0, 10.0, 16.0, 15.0, 0.0, 0.0, 0.0, 0.0, 4.0, 14.0, 8.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 1.0, 4.0, 16.0, 0.0, 2.0, 0.0, 0.0, 0.0, 3.0, 11.0, 16.0, 16.0, 13.0, 0.0, 0.0, 0.0, 12.0, 16.0, 11.0, 7.0, 2.0, 0.0, 0.0, 0.0, 6.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 11.0, 0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 6.0, 15.0, 9.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 14.0, 16.0, 1.0, 0.0, 0.0, 0.0, 14.0, 12.0, 3.0, 16.0, 4.0, 0.0, 0.0, 0.0, 9.0, 11.0, 3.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 2.0, 9.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 12.0, 9.0, 10.0, 3.0, 0.0, 0.0, 8.0, 16.0, 16.0, 16.0, 16.0, 14.0], [0.0, 0.0, 0.0, 7.0, 12.0, 13.0, 1.0, 0.0, 0.0, 0.0, 8.0, 11.0, 1.0, 10.0, 8.0, 0.0, 0.0, 0.0, 12.0, 2.0, 1.0, 11.0, 7.0, 0.0, 0.0, 0.0, 10.0, 10.0, 14.0, 8.0, 0.0, 0.0, 0.0, 1.0, 7.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 7.0, 14.0, 3.0, 0.0, 0.0, 0.0, 0.0, 7.0, 13.0, 5.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 15.0, 14.0, 2.0, 0.0], [0.0, 0.0, 10.0, 16.0, 16.0, 4.0, 0.0, 0.0, 0.0, 9.0, 16.0, 11.0, 14.0, 8.0, 0.0, 0.0, 0.0, 13.0, 8.0, 0.0, 14.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 14.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 16.0, 9.0, 12.0, 6.0, 0.0, 0.0, 1.0, 14.0, 16.0, 16.0, 16.0, 14.0, 0.0], [0.0, 0.0, 1.0, 13.0, 7.0, 0.0, 0.0, 0.0, 0.0, 1.0, 15.0, 9.0, 15.0, 1.0, 0.0, 0.0, 0.0, 9.0, 11.0, 0.0, 16.0, 0.0, 0.0, 0.0, 0.0, 2.0, 10.0, 3.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 10.0, 4.0, 4.0, 2.0, 0.0, 0.0, 1.0, 15.0, 16.0, 15.0, 13.0, 15.0], [0.0, 0.0, 10.0, 10.0, 14.0, 16.0, 14.0, 0.0, 0.0, 0.0, 14.0, 8.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 0.0, 6.0, 11.0, 5.0, 0.0, 0.0, 3.0, 16.0, 14.0, 10.0, 10.0, 9.0, 0.0, 0.0, 3.0, 14.0, 5.0, 0.0, 9.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 13.0, 0.0, 0.0, 0.0, 0.0, 3.0, 9.0, 13.0, 3.0, 0.0, 0.0, 0.0, 0.0, 8.0, 13.0, 1.0, 0.0, 0.0, 0.0], [0.0, 0.0, 5.0, 9.0, 13.0, 16.0, 6.0, 0.0, 0.0, 0.0, 12.0, 12.0, 7.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 3.0, 0.0, 0.0, 0.0, 3.0, 12.0, 15.0, 16.0, 14.0, 0.0, 0.0, 0.0, 7.0, 16.0, 15.0, 5.0, 1.0, 0.0, 0.0, 0.0, 0.0, 10.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 15.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 14.0, 0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 4.0, 13.0, 12.0, 6.0, 0.0, 0.0, 0.0, 4.0, 15.0, 5.0, 10.0, 16.0, 0.0, 0.0, 0.0, 4.0, 16.0, 1.0, 11.0, 16.0, 0.0, 0.0, 0.0, 1.0, 10.0, 16.0, 13.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 4.0, 0.0, 15.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 4.0, 0.0, 0.0, 0.0, 6.0, 6.0, 0.0, 9.0, 8.0, 0.0, 0.0, 0.0, 5.0, 12.0, 15.0, 16.0, 7.0, 0.0], [0.0, 3.0, 12.0, 12.0, 14.0, 15.0, 3.0, 0.0, 0.0, 4.0, 15.0, 4.0, 4.0, 4.0, 0.0, 0.0, 0.0, 5.0, 12.0, 0.0, 0.0, 2.0, 0.0, 0.0, 0.0, 5.0, 15.0, 12.0, 15.0, 15.0, 5.0, 0.0, 0.0, 5.0, 12.0, 6.0, 0.0, 8.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 7.0, 0.0, 0.0, 1.0, 9.0, 0.0, 7.0, 14.0, 1.0, 0.0, 0.0, 2.0, 15.0, 16.0, 14.0, 3.0, 0.0, 0.0], [0.0, 0.0, 3.0, 15.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 12.0, 1.0, 7.0, 0.0, 0.0, 0.0, 2.0, 16.0, 4.0, 9.0, 13.0, 0.0, 0.0, 0.0, 8.0, 11.0, 6.0, 16.0, 1.0, 2.0, 0.0, 0.0, 12.0, 10.0, 12.0, 14.0, 12.0, 11.0, 0.0, 0.0, 11.0, 16.0, 16.0, 14.0, 7.0, 1.0, 0.0, 0.0, 1.0, 7.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 1.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 3.0, 14.0, 13.0, 3.0, 0.0, 0.0, 0.0, 0.0, 12.0, 9.0, 8.0, 8.0, 0.0, 0.0, 0.0, 0.0, 12.0, 8.0, 11.0, 6.0, 0.0, 0.0, 0.0, 0.0, 7.0, 14.0, 11.0, 1.0, 0.0, 0.0, 1.0, 8.0, 12.0, 15.0, 5.0, 0.0, 0.0, 0.0, 6.0, 14.0, 0.0, 4.0, 12.0, 0.0, 0.0, 0.0, 0.0, 7.0, 12.0, 1.0, 15.0, 2.0, 0.0, 0.0, 0.0, 0.0, 3.0, 13.0, 15.0, 2.0, 0.0], [0.0, 0.0, 0.0, 3.0, 12.0, 10.0, 0.0, 0.0, 0.0, 0.0, 1.0, 14.0, 6.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 6.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 3.0, 14.0, 15.0, 3.0, 0.0, 0.0, 0.0, 1.0, 16.0, 4.0, 9.0, 9.0, 0.0, 0.0, 0.0, 0.0, 4.0, 13.0, 4.0, 7.0, 8.0, 0.0, 0.0, 0.0, 0.0, 3.0, 10.0, 11.0, 15.0, 2.0], [0.0, 0.0, 3.0, 15.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 13.0, 1.0, 6.0, 9.0, 0.0, 0.0, 3.0, 16.0, 3.0, 6.0, 15.0, 5.0, 0.0, 0.0, 7.0, 15.0, 1.0, 14.0, 9.0, 5.0, 0.0, 0.0, 10.0, 13.0, 9.0, 16.0, 15.0, 7.0, 0.0, 0.0, 7.0, 16.0, 16.0, 11.0, 4.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 3.0, 0.0, 0.0, 0.0], [0.0, 0.0, 5.0, 14.0, 14.0, 8.0, 2.0, 0.0, 0.0, 3.0, 15.0, 3.0, 0.0, 13.0, 8.0, 0.0, 0.0, 5.0, 12.0, 0.0, 2.0, 15.0, 8.0, 0.0, 0.0, 2.0, 15.0, 9.0, 14.0, 14.0, 8.0, 0.0, 0.0, 0.0, 1.0, 3.0, 0.0, 12.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 4.0, 0.0, 0.0, 6.0, 15.0, 2.0, 0.0, 14.0, 1.0, 0.0, 0.0, 1.0, 7.0, 14.0, 12.0, 9.0, 0.0, 0.0], [0.0, 0.0, 4.0, 14.0, 14.0, 4.0, 0.0, 0.0, 0.0, 0.0, 15.0, 10.0, 10.0, 13.0, 0.0, 0.0, 0.0, 5.0, 15.0, 0.0, 2.0, 15.0, 6.0, 0.0, 0.0, 4.0, 13.0, 0.0, 0.0, 14.0, 8.0, 0.0, 0.0, 6.0, 9.0, 0.0, 0.0, 12.0, 7.0, 0.0, 0.0, 3.0, 14.0, 1.0, 0.0, 12.0, 5.0, 0.0, 0.0, 0.0, 12.0, 9.0, 6.0, 15.0, 2.0, 0.0, 0.0, 0.0, 3.0, 14.0, 14.0, 6.0, 0.0, 0.0], [0.0, 0.0, 0.0, 2.0, 13.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 10.0, 16.0, 0.0, 0.0, 0.0, 0.0, 7.0, 13.0, 8.0, 11.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 16.0, 4.0, 0.0, 0.0, 0.0, 2.0, 14.0, 9.0, 7.0, 13.0, 1.0, 0.0, 0.0, 1.0, 11.0, 8.0, 3.0, 9.0, 8.0, 0.0, 0.0, 0.0, 0.0, 5.0, 10.0, 15.0, 16.0, 0.0], [0.0, 0.0, 3.0, 13.0, 14.0, 4.0, 0.0, 0.0, 0.0, 0.0, 13.0, 12.0, 14.0, 16.0, 0.0, 0.0, 0.0, 1.0, 16.0, 3.0, 14.0, 16.0, 4.0, 0.0, 0.0, 1.0, 14.0, 9.0, 16.0, 16.0, 6.0, 0.0, 0.0, 0.0, 2.0, 8.0, 4.0, 11.0, 9.0, 0.0, 0.0, 0.0, 2.0, 2.0, 0.0, 12.0, 10.0, 0.0, 0.0, 0.0, 14.0, 14.0, 4.0, 11.0, 9.0, 0.0, 0.0, 0.0, 4.0, 8.0, 11.0, 16.0, 9.0, 0.0], [0.0, 0.0, 0.0, 4.0, 12.0, 15.0, 4.0, 0.0, 0.0, 0.0, 3.0, 14.0, 4.0, 10.0, 8.0, 0.0, 0.0, 0.0, 4.0, 12.0, 5.0, 14.0, 2.0, 0.0, 0.0, 0.0, 4.0, 16.0, 14.0, 3.0, 0.0, 0.0, 0.0, 1.0, 12.0, 15.0, 13.0, 0.0, 0.0, 0.0, 0.0, 6.0, 13.0, 1.0, 12.0, 6.0, 0.0, 0.0, 0.0, 0.0, 10.0, 13.0, 5.0, 14.0, 1.0, 0.0, 0.0, 0.0, 0.0, 4.0, 10.0, 16.0, 8.0, 0.0], [0.0, 0.0, 7.0, 16.0, 15.0, 4.0, 0.0, 0.0, 0.0, 0.0, 14.0, 16.0, 9.0, 15.0, 2.0, 0.0, 0.0, 1.0, 15.0, 12.0, 1.0, 9.0, 8.0, 0.0, 0.0, 4.0, 16.0, 0.0, 0.0, 7.0, 10.0, 0.0, 0.0, 7.0, 13.0, 0.0, 0.0, 10.0, 11.0, 0.0, 0.0, 7.0, 12.0, 0.0, 2.0, 15.0, 6.0, 0.0, 0.0, 3.0, 15.0, 12.0, 14.0, 14.0, 1.0, 0.0, 0.0, 0.0, 10.0, 16.0, 14.0, 4.0, 0.0, 0.0], [0.0, 0.0, 5.0, 10.0, 8.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 16.0, 15.0, 2.0, 0.0, 0.0, 0.0, 7.0, 16.0, 16.0, 13.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 11.0, 9.0, 0.0, 0.0, 0.0], [0.0, 2.0, 11.0, 16.0, 15.0, 2.0, 0.0, 0.0, 0.0, 12.0, 16.0, 15.0, 16.0, 4.0, 0.0, 0.0, 0.0, 2.0, 3.0, 2.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 12.0, 3.0, 11.0, 9.0, 0.0, 0.0, 0.0, 16.0, 16.0, 16.0, 16.0, 6.0, 0.0, 0.0, 0.0, 14.0, 15.0, 12.0, 5.0, 0.0, 0.0], [0.0, 0.0, 3.0, 12.0, 16.0, 14.0, 0.0, 0.0, 0.0, 3.0, 15.0, 16.0, 15.0, 14.0, 0.0, 0.0, 0.0, 3.0, 12.0, 1.0, 15.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 2.0, 5.0, 13.0, 8.0, 0.0, 0.0, 0.0, 2.0, 11.0, 11.0, 15.0, 5.0, 0.0, 0.0, 0.0, 3.0, 16.0, 16.0, 9.0, 0.0, 0.0], [0.0, 0.0, 0.0, 0.0, 15.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 8.0, 15.0, 14.0, 4.0, 0.0, 0.0, 0.0, 6.0, 15.0, 2.0, 15.0, 2.0, 1.0, 0.0, 0.0, 9.0, 16.0, 16.0, 16.0, 16.0, 11.0, 0.0, 0.0, 5.0, 10.0, 12.0, 16.0, 8.0, 1.0, 0.0, 0.0, 0.0, 0.0, 1.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 15.0, 0.0, 0.0, 0.0], [0.0, 0.0, 6.0, 13.0, 15.0, 16.0, 11.0, 0.0, 0.0, 0.0, 10.0, 11.0, 8.0, 8.0, 5.0, 0.0, 0.0, 2.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 11.0, 7.0, 8.0, 5.0, 0.0, 0.0, 0.0, 7.0, 16.0, 14.0, 10.0, 14.0, 2.0, 0.0, 0.0, 1.0, 7.0, 1.0, 2.0, 12.0, 3.0, 0.0, 0.0, 0.0, 5.0, 8.0, 14.0, 6.0, 0.0, 0.0, 0.0, 0.0, 8.0, 12.0, 5.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 13.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 13.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 12.0, 6.0, 11.0, 9.0, 3.0, 0.0, 0.0, 1.0, 15.0, 16.0, 12.0, 8.0, 11.0, 0.0, 0.0, 0.0, 9.0, 13.0, 2.0, 6.0, 16.0, 2.0, 0.0, 0.0, 0.0, 11.0, 16.0, 14.0, 7.0, 0.0], [0.0, 0.0, 4.0, 10.0, 16.0, 16.0, 7.0, 0.0, 0.0, 3.0, 16.0, 13.0, 11.0, 16.0, 2.0, 0.0, 0.0, 1.0, 3.0, 0.0, 10.0, 9.0, 0.0, 0.0, 0.0, 0.0, 5.0, 8.0, 14.0, 15.0, 13.0, 0.0, 0.0, 0.0, 15.0, 16.0, 14.0, 12.0, 8.0, 0.0, 0.0, 0.0, 3.0, 12.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 14.0, 1.0, 0.0, 0.0, 0.0], [0.0, 0.0, 4.0, 11.0, 15.0, 2.0, 0.0, 0.0, 0.0, 2.0, 16.0, 9.0, 8.0, 9.0, 0.0, 0.0, 0.0, 4.0, 15.0, 0.0, 5.0, 16.0, 3.0, 0.0, 0.0, 0.0, 11.0, 11.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0, 13.0, 9.0, 6.0, 12.0, 1.0, 0.0, 0.0, 0.0, 15.0, 3.0, 0.0, 9.0, 5.0, 0.0, 0.0, 0.0, 5.0, 13.0, 13.0, 12.0, 5.0, 0.0], [0.0, 0.0, 0.0, 3.0, 13.0, 16.0, 11.0, 0.0, 0.0, 0.0, 4.0, 15.0, 11.0, 8.0, 16.0, 3.0, 0.0, 2.0, 15.0, 9.0, 6.0, 13.0, 15.0, 3.0, 0.0, 4.0, 16.0, 16.0, 16.0, 16.0, 11.0, 0.0, 0.0, 0.0, 7.0, 8.0, 6.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 4.0, 0.0, 0.0], [0.0, 0.0, 7.0, 8.0, 12.0, 6.0, 0.0, 0.0, 0.0, 1.0, 14.0, 11.0, 12.0, 15.0, 0.0, 0.0, 0.0, 3.0, 15.0, 0.0, 0.0, 10.0, 5.0, 0.0, 0.0, 4.0, 9.0, 0.0, 0.0, 8.0, 4.0, 0.0, 0.0, 8.0, 8.0, 0.0, 0.0, 13.0, 0.0, 0.0, 0.0, 7.0, 9.0, 0.0, 9.0, 11.0, 0.0, 0.0, 0.0, 2.0, 14.0, 10.0, 14.0, 5.0, 0.0, 0.0, 0.0, 0.0, 9.0, 15.0, 6.0, 0.0, 0.0, 0.0], [0.0, 0.0, 7.0, 16.0, 13.0, 5.0, 0.0, 0.0, 0.0, 0.0, 13.0, 16.0, 16.0, 5.0, 0.0, 0.0, 0.0, 1.0, 16.0, 16.0, 16.0, 3.0, 0.0, 0.0, 0.0, 1.0, 14.0, 16.0, 15.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 16.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0, 14.0, 16.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 4.0, 14.0, 13.0, 6.0, 0.0, 0.0], [0.0, 0.0, 6.0, 15.0, 15.0, 1.0, 0.0, 0.0, 0.0, 4.0, 16.0, 13.0, 16.0, 4.0, 0.0, 0.0, 0.0, 10.0, 11.0, 2.0, 16.0, 2.0, 0.0, 0.0, 0.0, 1.0, 1.0, 10.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 14.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 14.0, 1.0, 12.0, 9.0, 0.0, 0.0, 0.0, 11.0, 15.0, 14.0, 16.0, 9.0, 0.0, 0.0, 0.0, 8.0, 16.0, 12.0, 5.0, 0.0, 0.0], [0.0, 0.0, 4.0, 14.0, 16.0, 5.0, 0.0, 0.0, 0.0, 4.0, 16.0, 16.0, 16.0, 8.0, 0.0, 0.0, 0.0, 12.0, 12.0, 0.0, 15.0, 8.0, 0.0, 0.0, 0.0, 2.0, 1.0, 5.0, 16.0, 13.0, 1.0, 0.0, 0.0, 0.0, 0.0, 1.0, 11.0, 15.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 12.0, 0.0, 0.0, 0.0, 2.0, 13.0, 12.0, 16.0, 7.0, 0.0, 0.0, 0.0, 3.0, 16.0, 15.0, 8.0, 0.0, 0.0], [0.0, 0.0, 0.0, 1.0, 15.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 16.0, 3.0, 0.0, 0.0, 0.0, 5.0, 16.0, 8.0, 16.0, 8.0, 3.0, 0.0, 0.0, 11.0, 16.0, 12.0, 16.0, 16.0, 12.0, 0.0, 0.0, 11.0, 16.0, 15.0, 16.0, 7.0, 2.0, 0.0, 0.0, 1.0, 4.0, 2.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 14.0, 0.0, 0.0, 0.0], [0.0, 1.0, 10.0, 12.0, 15.0, 11.0, 0.0, 0.0, 0.0, 8.0, 16.0, 13.0, 9.0, 4.0, 0.0, 0.0, 0.0, 5.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 14.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 4.0, 13.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 11.0, 11.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 14.0, 2.0, 0.0, 0.0], [0.0, 0.0, 1.0, 12.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 15.0, 2.0, 14.0, 13.0, 4.0, 0.0, 0.0, 2.0, 15.0, 16.0, 10.0, 5.0, 14.0, 0.0, 0.0, 0.0, 9.0, 13.0, 4.0, 9.0, 14.0, 0.0, 0.0, 0.0, 0.0, 10.0, 13.0, 12.0, 3.0, 0.0], [0.0, 0.0, 2.0, 11.0, 16.0, 16.0, 16.0, 4.0, 0.0, 0.0, 5.0, 11.0, 8.0, 8.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 6.0, 0.0, 0.0, 0.0, 2.0, 10.0, 13.0, 16.0, 13.0, 0.0, 0.0, 0.0, 12.0, 16.0, 16.0, 9.0, 2.0, 0.0, 0.0, 0.0, 2.0, 5.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 6.0, 0.0, 0.0, 0.0], [0.0, 0.0, 5.0, 12.0, 16.0, 7.0, 0.0, 0.0, 0.0, 5.0, 14.0, 4.0, 9.0, 15.0, 5.0, 0.0, 0.0, 4.0, 13.0, 6.0, 14.0, 6.0, 2.0, 0.0, 0.0, 1.0, 14.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 3.0, 15.0, 12.0, 9.0, 0.0, 0.0, 0.0, 0.0, 5.0, 12.0, 0.0, 10.0, 7.0, 0.0, 0.0, 0.0, 3.0, 15.0, 4.0, 2.0, 15.0, 0.0, 0.0, 0.0, 0.0, 5.0, 14.0, 14.0, 7.0, 0.0, 0.0], [0.0, 0.0, 0.0, 1.0, 7.0, 15.0, 11.0, 0.0, 0.0, 0.0, 0.0, 11.0, 8.0, 3.0, 13.0, 0.0, 0.0, 0.0, 10.0, 6.0, 2.0, 12.0, 11.0, 0.0, 0.0, 1.0, 16.0, 12.0, 16.0, 16.0, 7.0, 0.0, 0.0, 2.0, 16.0, 14.0, 7.0, 12.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 6.0, 0.0, 0.0], [0.0, 0.0, 5.0, 15.0, 14.0, 3.0, 0.0, 0.0, 0.0, 0.0, 13.0, 15.0, 9.0, 15.0, 2.0, 0.0, 0.0, 4.0, 16.0, 12.0, 0.0, 10.0, 6.0, 0.0, 0.0, 8.0, 16.0, 9.0, 0.0, 8.0, 10.0, 0.0, 0.0, 7.0, 15.0, 5.0, 0.0, 12.0, 11.0, 0.0, 0.0, 7.0, 13.0, 0.0, 5.0, 16.0, 6.0, 0.0, 0.0, 0.0, 16.0, 12.0, 15.0, 13.0, 1.0, 0.0, 0.0, 0.0, 6.0, 16.0, 12.0, 2.0, 0.0, 0.0], [0.0, 0.0, 4.0, 16.0, 15.0, 4.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 12.0, 16.0, 13.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 16.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 3.0, 12.0, 14.0, 11.0, 0.0, 0.0], [0.0, 0.0, 8.0, 15.0, 12.0, 1.0, 0.0, 0.0, 0.0, 8.0, 13.0, 8.0, 12.0, 6.0, 0.0, 0.0, 0.0, 4.0, 2.0, 0.0, 8.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 13.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 13.0, 0.0, 4.0, 4.0, 0.0, 0.0, 0.0, 10.0, 12.0, 9.0, 15.0, 11.0, 0.0, 0.0, 0.0, 9.0, 16.0, 9.0, 7.0, 1.0, 0.0], [0.0, 0.0, 6.0, 13.0, 16.0, 8.0, 0.0, 0.0, 0.0, 5.0, 16.0, 15.0, 14.0, 12.0, 0.0, 0.0, 0.0, 9.0, 12.0, 2.0, 15.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 16.0, 13.0, 3.0, 0.0, 0.0, 0.0, 0.0, 3.0, 9.0, 15.0, 11.0, 0.0, 0.0, 0.0, 1.0, 8.0, 14.0, 16.0, 8.0, 0.0, 0.0, 0.0, 7.0, 16.0, 14.0, 6.0, 0.0, 0.0], [0.0, 0.0, 0.0, 0.0, 6.0, 15.0, 2.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 16.0, 2.0, 0.0, 0.0, 0.0, 4.0, 16.0, 12.0, 16.0, 0.0, 0.0, 0.0, 4.0, 15.0, 6.0, 7.0, 13.0, 0.0, 0.0, 0.0, 11.0, 15.0, 15.0, 16.0, 16.0, 9.0, 0.0, 0.0, 9.0, 13.0, 12.0, 13.0, 14.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 8.0, 0.0, 0.0], [0.0, 1.0, 13.0, 16.0, 16.0, 11.0, 1.0, 0.0, 0.0, 8.0, 16.0, 16.0, 13.0, 11.0, 1.0, 0.0, 0.0, 11.0, 13.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 13.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 14.0, 15.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 6.0, 9.0, 15.0, 9.0, 0.0, 0.0, 0.0, 0.0, 13.0, 16.0, 15.0, 3.0, 0.0, 0.0], [0.0, 0.0, 1.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 9.0, 12.0, 10.0, 2.0, 0.0, 0.0, 0.0, 16.0, 13.0, 8.0, 8.0, 11.0, 0.0, 0.0, 0.0, 13.0, 10.0, 4.0, 9.0, 15.0, 0.0, 0.0, 0.0, 3.0, 10.0, 15.0, 9.0, 2.0, 0.0], [0.0, 0.0, 0.0, 4.0, 11.0, 15.0, 16.0, 12.0, 0.0, 0.0, 2.0, 16.0, 12.0, 9.0, 11.0, 12.0, 0.0, 0.0, 1.0, 2.0, 0.0, 0.0, 14.0, 5.0, 0.0, 0.0, 0.0, 7.0, 12.0, 14.0, 15.0, 0.0, 0.0, 0.0, 3.0, 16.0, 16.0, 15.0, 2.0, 0.0, 0.0, 0.0, 0.0, 1.0, 11.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 10.0, 0.0, 0.0, 0.0], [0.0, 0.0, 3.0, 13.0, 14.0, 4.0, 0.0, 0.0, 0.0, 0.0, 15.0, 8.0, 7.0, 11.0, 0.0, 0.0, 0.0, 0.0, 16.0, 0.0, 0.0, 11.0, 3.0, 0.0, 0.0, 0.0, 10.0, 6.0, 14.0, 14.0, 1.0, 0.0, 0.0, 0.0, 5.0, 16.0, 14.0, 1.0, 0.0, 0.0, 0.0, 0.0, 12.0, 10.0, 8.0, 12.0, 0.0, 0.0, 0.0, 0.0, 14.0, 3.0, 0.0, 9.0, 8.0, 0.0, 0.0, 0.0, 4.0, 14.0, 15.0, 12.0, 4.0, 0.0], [0.0, 0.0, 0.0, 1.0, 7.0, 14.0, 14.0, 0.0, 0.0, 0.0, 3.0, 15.0, 7.0, 1.0, 14.0, 0.0, 0.0, 2.0, 16.0, 10.0, 5.0, 14.0, 8.0, 0.0, 0.0, 4.0, 15.0, 16.0, 12.0, 16.0, 5.0, 0.0, 0.0, 0.0, 5.0, 3.0, 1.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 12.0, 0.0, 0.0], [0.0, 0.0, 3.0, 12.0, 8.0, 3.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 13.0, 13.0, 1.0, 0.0, 0.0, 0.0, 13.0, 8.0, 0.0, 9.0, 4.0, 0.0, 0.0, 0.0, 16.0, 2.0, 0.0, 6.0, 6.0, 0.0, 0.0, 4.0, 12.0, 0.0, 0.0, 10.0, 3.0, 0.0, 0.0, 3.0, 12.0, 0.0, 0.0, 13.0, 2.0, 0.0, 0.0, 0.0, 12.0, 4.0, 12.0, 10.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 13.0, 2.0, 0.0, 0.0], [0.0, 0.0, 0.0, 0.0, 8.0, 14.0, 10.0, 0.0, 0.0, 0.0, 0.0, 9.0, 7.0, 9.0, 12.0, 0.0, 0.0, 0.0, 9.0, 8.0, 0.0, 12.0, 9.0, 0.0, 0.0, 4.0, 16.0, 8.0, 12.0, 16.0, 2.0, 0.0, 0.0, 5.0, 16.0, 16.0, 10.0, 15.0, 0.0, 0.0, 0.0, 0.0, 4.0, 0.0, 5.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 10.0, 0.0, 0.0], [0.0, 0.0, 2.0, 15.0, 15.0, 16.0, 11.0, 0.0, 0.0, 0.0, 8.0, 16.0, 11.0, 3.0, 0.0, 0.0, 0.0, 0.0, 13.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 3.0, 9.0, 11.0, 3.0, 0.0, 0.0, 10.0, 15.0, 15.0, 16.0, 16.0, 11.0, 0.0, 0.0, 6.0, 16.0, 10.0, 7.0, 16.0, 5.0, 0.0, 0.0, 0.0, 3.0, 4.0, 15.0, 8.0, 0.0, 0.0, 0.0, 0.0, 4.0, 15.0, 7.0, 0.0, 0.0, 0.0], [0.0, 0.0, 13.0, 16.0, 16.0, 16.0, 8.0, 0.0, 0.0, 2.0, 16.0, 13.0, 8.0, 4.0, 1.0, 0.0, 0.0, 7.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 15.0, 12.0, 5.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 16.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 3.0, 15.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 14.0, 0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 4.0, 15.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 15.0, 11.0, 16.0, 13.0, 4.0, 0.0, 0.0, 7.0, 16.0, 16.0, 11.0, 14.0, 14.0, 0.0, 0.0, 2.0, 16.0, 11.0, 5.0, 15.0, 12.0, 0.0, 0.0, 0.0, 3.0, 16.0, 16.0, 14.0, 3.0, 0.0], [0.0, 0.0, 15.0, 12.0, 11.0, 6.0, 2.0, 0.0, 0.0, 4.0, 16.0, 15.0, 12.0, 12.0, 10.0, 0.0, 0.0, 7.0, 14.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 12.0, 3.0, 1.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 16.0, 14.0, 2.0, 0.0, 0.0, 0.0, 1.0, 8.0, 8.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 1.0, 11.0, 15.0, 2.0, 0.0, 0.0, 0.0, 0.0, 13.0, 16.0, 6.0, 0.0, 0.0, 0.0], [0.0, 0.0, 5.0, 16.0, 12.0, 2.0, 0.0, 0.0, 0.0, 0.0, 13.0, 14.0, 15.0, 11.0, 0.0, 0.0, 0.0, 6.0, 15.0, 1.0, 2.0, 16.0, 4.0, 0.0, 0.0, 6.0, 14.0, 0.0, 0.0, 9.0, 8.0, 0.0, 0.0, 8.0, 10.0, 0.0, 0.0, 13.0, 8.0, 0.0, 0.0, 4.0, 13.0, 0.0, 1.0, 14.0, 8.0, 0.0, 0.0, 0.0, 14.0, 14.0, 15.0, 15.0, 3.0, 0.0, 0.0, 0.0, 5.0, 12.0, 13.0, 8.0, 0.0, 0.0], [0.0, 0.0, 0.0, 1.0, 12.0, 16.0, 14.0, 0.0, 0.0, 0.0, 3.0, 14.0, 13.0, 15.0, 13.0, 0.0, 0.0, 4.0, 16.0, 15.0, 13.0, 16.0, 4.0, 0.0, 0.0, 3.0, 16.0, 16.0, 16.0, 16.0, 3.0, 0.0, 0.0, 0.0, 7.0, 7.0, 14.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 12.0, 0.0, 0.0], [0.0, 0.0, 6.0, 14.0, 13.0, 4.0, 0.0, 0.0, 0.0, 4.0, 16.0, 11.0, 10.0, 15.0, 0.0, 0.0, 0.0, 9.0, 11.0, 0.0, 12.0, 11.0, 0.0, 0.0, 0.0, 7.0, 11.0, 8.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 13.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 13.0, 12.0, 9.0, 0.0, 0.0, 0.0, 0.0, 12.0, 8.0, 0.0, 15.0, 1.0, 0.0, 0.0, 0.0, 5.0, 16.0, 16.0, 11.0, 0.0, 0.0], [0.0, 0.0, 0.0, 0.0, 8.0, 15.0, 9.0, 0.0, 0.0, 0.0, 1.0, 12.0, 8.0, 2.0, 11.0, 0.0, 0.0, 0.0, 10.0, 11.0, 0.0, 11.0, 8.0, 0.0, 0.0, 5.0, 16.0, 14.0, 15.0, 15.0, 3.0, 0.0, 0.0, 2.0, 12.0, 10.0, 4.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 6.0, 0.0, 0.0], [0.0, 0.0, 4.0, 12.0, 16.0, 6.0, 0.0, 0.0, 0.0, 4.0, 16.0, 10.0, 5.0, 16.0, 4.0, 0.0, 0.0, 8.0, 13.0, 0.0, 5.0, 15.0, 5.0, 0.0, 0.0, 6.0, 12.0, 7.0, 15.0, 3.0, 0.0, 0.0, 0.0, 0.0, 12.0, 16.0, 12.0, 1.0, 0.0, 0.0, 0.0, 0.0, 11.0, 10.0, 9.0, 11.0, 0.0, 0.0, 0.0, 0.0, 12.0, 6.0, 0.0, 13.0, 3.0, 0.0, 0.0, 0.0, 6.0, 13.0, 13.0, 8.0, 0.0, 0.0], [0.0, 0.0, 0.0, 4.0, 15.0, 11.0, 0.0, 0.0, 0.0, 0.0, 2.0, 15.0, 16.0, 13.0, 0.0, 0.0, 0.0, 0.0, 13.0, 13.0, 11.0, 10.0, 0.0, 0.0, 0.0, 7.0, 14.0, 3.0, 14.0, 12.0, 6.0, 0.0, 0.0, 8.0, 16.0, 16.0, 16.0, 15.0, 8.0, 0.0, 0.0, 1.0, 8.0, 9.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 14.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 14.0, 16.0, 15.0, 11.0, 0.0, 0.0, 0.0, 2.0, 16.0, 16.0, 16.0, 10.0, 0.0, 0.0, 0.0, 4.0, 16.0, 16.0, 16.0, 4.0, 0.0, 0.0, 0.0, 12.0, 16.0, 16.0, 12.0, 0.0, 0.0, 0.0, 0.0, 12.0, 16.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 14.0, 16.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 15.0, 2.0, 0.0, 0.0, 0.0, 0.0, 1.0, 15.0, 15.0, 1.0, 0.0, 0.0], [0.0, 0.0, 0.0, 4.0, 13.0, 16.0, 15.0, 2.0, 0.0, 0.0, 2.0, 15.0, 13.0, 13.0, 16.0, 6.0, 0.0, 0.0, 7.0, 7.0, 0.0, 3.0, 16.0, 4.0, 0.0, 0.0, 0.0, 4.0, 4.0, 8.0, 14.0, 0.0, 0.0, 0.0, 14.0, 16.0, 16.0, 16.0, 6.0, 0.0, 0.0, 0.0, 11.0, 9.0, 10.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 10.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 3.0, 9.0, 16.0, 16.0, 2.0, 0.0, 0.0, 4.0, 16.0, 13.0, 11.0, 16.0, 1.0, 0.0, 0.0, 3.0, 5.0, 0.0, 6.0, 13.0, 0.0, 0.0, 0.0, 0.0, 2.0, 7.0, 14.0, 9.0, 0.0, 0.0, 0.0, 4.0, 16.0, 16.0, 15.0, 3.0, 0.0, 0.0, 0.0, 9.0, 8.0, 11.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 15.0, 1.0, 0.0, 0.0], [0.0, 0.0, 1.0, 9.0, 15.0, 15.0, 1.0, 0.0, 0.0, 0.0, 13.0, 14.0, 8.0, 12.0, 4.0, 0.0, 0.0, 5.0, 11.0, 1.0, 2.0, 13.0, 1.0, 0.0, 0.0, 1.0, 4.0, 0.0, 11.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 14.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 13.0, 6.0, 0.0, 0.0, 0.0, 0.0, 4.0, 10.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 12.0, 13.0, 4.0, 0.0, 0.0], [0.0, 0.0, 8.0, 12.0, 16.0, 16.0, 9.0, 0.0, 0.0, 4.0, 16.0, 16.0, 13.0, 9.0, 2.0, 0.0, 0.0, 11.0, 14.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 15.0, 10.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 16.0, 13.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 5.0, 10.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 10.0, 0.0, 0.0, 0.0], [0.0, 0.0, 1.0, 10.0, 15.0, 11.0, 7.0, 0.0, 0.0, 0.0, 5.0, 16.0, 16.0, 16.0, 11.0, 0.0, 0.0, 0.0, 6.0, 16.0, 16.0, 16.0, 6.0, 0.0, 0.0, 0.0, 12.0, 16.0, 16.0, 12.0, 0.0, 0.0, 0.0, 2.0, 16.0, 16.0, 16.0, 6.0, 0.0, 0.0, 0.0, 2.0, 12.0, 16.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 3.0, 12.0, 16.0, 2.0, 0.0, 0.0], [0.0, 0.0, 1.0, 13.0, 12.0, 1.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 16.0, 12.0, 0.0, 0.0, 0.0, 0.0, 14.0, 6.0, 0.0, 13.0, 3.0, 0.0, 0.0, 6.0, 10.0, 0.0, 0.0, 10.0, 6.0, 0.0, 0.0, 7.0, 13.0, 0.0, 0.0, 9.0, 8.0, 0.0, 0.0, 3.0, 16.0, 1.0, 3.0, 14.0, 7.0, 0.0, 0.0, 0.0, 11.0, 16.0, 16.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 6.0, 0.0, 0.0], [0.0, 0.0, 4.0, 16.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 10.0, 15.0, 12.0, 14.0, 0.0, 0.0, 0.0, 2.0, 11.0, 0.0, 0.0, 9.0, 6.0, 0.0, 0.0, 5.0, 6.0, 0.0, 0.0, 4.0, 5.0, 0.0, 0.0, 4.0, 9.0, 0.0, 0.0, 7.0, 4.0, 0.0, 0.0, 4.0, 10.0, 0.0, 2.0, 14.0, 0.0, 0.0, 0.0, 0.0, 14.0, 15.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 4.0, 13.0, 10.0, 0.0, 0.0, 0.0], [0.0, 0.0, 6.0, 16.0, 16.0, 7.0, 0.0, 0.0, 0.0, 8.0, 16.0, 13.0, 10.0, 16.0, 0.0, 0.0, 0.0, 6.0, 9.0, 0.0, 6.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 1.0, 15.0, 8.0, 3.0, 5.0, 0.0, 0.0, 0.0, 8.0, 16.0, 11.0, 16.0, 9.0, 0.0, 0.0, 0.0, 5.0, 16.0, 16.0, 7.0, 0.0, 0.0], [0.0, 0.0, 6.0, 15.0, 15.0, 3.0, 0.0, 0.0, 0.0, 5.0, 16.0, 13.0, 15.0, 8.0, 0.0, 0.0, 0.0, 8.0, 13.0, 0.0, 13.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 5.0, 9.0, 8.0, 0.0, 0.0, 0.0, 8.0, 15.0, 15.0, 15.0, 3.0, 0.0, 0.0, 0.0, 5.0, 16.0, 12.0, 1.0, 0.0, 0.0], [0.0, 0.0, 1.0, 11.0, 16.0, 16.0, 7.0, 0.0, 0.0, 0.0, 7.0, 13.0, 8.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 1.0, 1.0, 16.0, 4.0, 0.0, 0.0, 0.0, 2.0, 7.0, 13.0, 16.0, 15.0, 0.0, 0.0, 1.0, 15.0, 16.0, 16.0, 12.0, 3.0, 0.0, 0.0, 1.0, 8.0, 4.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 14.0, 4.0, 0.0, 0.0, 0.0], [0.0, 0.0, 2.0, 12.0, 16.0, 10.0, 0.0, 0.0, 0.0, 3.0, 15.0, 10.0, 7.0, 16.0, 4.0, 0.0, 0.0, 9.0, 8.0, 0.0, 11.0, 10.0, 0.0, 0.0, 0.0, 3.0, 15.0, 11.0, 14.0, 1.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 7.0, 13.0, 4.0, 0.0, 0.0, 0.0, 0.0, 9.0, 7.0, 6.0, 10.0, 0.0, 0.0, 0.0, 0.0, 1.0, 12.0, 16.0, 5.0, 0.0, 0.0], [0.0, 0.0, 3.0, 12.0, 16.0, 16.0, 3.0, 0.0, 0.0, 2.0, 16.0, 16.0, 11.0, 16.0, 4.0, 0.0, 0.0, 8.0, 14.0, 2.0, 10.0, 16.0, 1.0, 0.0, 0.0, 5.0, 5.0, 3.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 5.0, 2.0, 3.0, 0.0, 0.0, 0.0, 3.0, 16.0, 12.0, 15.0, 6.0, 0.0, 0.0, 0.0, 0.0, 15.0, 16.0, 8.0, 0.0, 0.0], [0.0, 0.0, 0.0, 9.0, 15.0, 6.0, 0.0, 0.0, 0.0, 0.0, 5.0, 15.0, 16.0, 15.0, 0.0, 0.0, 0.0, 0.0, 15.0, 15.0, 4.0, 16.0, 3.0, 0.0, 0.0, 2.0, 14.0, 5.0, 0.0, 12.0, 8.0, 0.0, 0.0, 6.0, 13.0, 0.0, 1.0, 14.0, 6.0, 0.0, 0.0, 1.0, 10.0, 14.0, 15.0, 16.0, 3.0, 0.0, 0.0, 0.0, 3.0, 16.0, 16.0, 14.0, 1.0, 0.0, 0.0, 0.0, 0.0, 9.0, 13.0, 5.0, 0.0, 0.0], [0.0, 0.0, 3.0, 8.0, 11.0, 11.0, 1.0, 0.0, 0.0, 0.0, 3.0, 16.0, 16.0, 12.0, 0.0, 0.0, 0.0, 0.0, 2.0, 15.0, 16.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 1.0, 15.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 2.0, 15.0, 16.0, 6.0, 0.0, 0.0], [0.0, 0.0, 1.0, 13.0, 16.0, 10.0, 0.0, 0.0, 0.0, 1.0, 13.0, 15.0, 8.0, 16.0, 3.0, 0.0, 0.0, 8.0, 15.0, 3.0, 4.0, 15.0, 0.0, 0.0, 0.0, 1.0, 3.0, 0.0, 12.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 14.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 8.0, 0.0, 4.0, 0.0, 0.0, 0.0, 1.0, 16.0, 8.0, 13.0, 9.0, 0.0, 0.0, 0.0, 0.0, 14.0, 16.0, 11.0, 0.0, 0.0], [0.0, 0.0, 2.0, 14.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 0.0, 6.0, 7.0, 2.0, 0.0, 0.0, 4.0, 12.0, 13.0, 15.0, 14.0, 12.0, 0.0, 0.0, 0.0, 13.0, 12.0, 2.0, 11.0, 14.0, 0.0, 0.0, 0.0, 3.0, 13.0, 16.0, 13.0, 1.0, 0.0], [0.0, 0.0, 6.0, 14.0, 16.0, 16.0, 2.0, 0.0, 0.0, 5.0, 16.0, 13.0, 11.0, 16.0, 0.0, 0.0, 0.0, 0.0, 7.0, 2.0, 15.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 13.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 15.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 9.0, 0.0, 0.0, 0.0, 3.0, 11.0, 8.0, 16.0, 6.0, 0.0, 0.0, 0.0, 7.0, 16.0, 16.0, 8.0, 0.0, 0.0], [0.0, 1.0, 7.0, 13.0, 16.0, 11.0, 0.0, 0.0, 0.0, 11.0, 16.0, 13.0, 15.0, 16.0, 0.0, 0.0, 0.0, 3.0, 8.0, 2.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 14.0, 11.0, 0.0, 0.0, 0.0, 3.0, 8.0, 14.0, 16.0, 8.0, 0.0, 0.0, 0.0, 7.0, 16.0, 12.0, 7.0, 0.0, 0.0], [0.0, 0.0, 1.0, 6.0, 12.0, 16.0, 9.0, 0.0, 0.0, 0.0, 10.0, 15.0, 10.0, 13.0, 9.0, 0.0, 0.0, 0.0, 2.0, 1.0, 0.0, 14.0, 2.0, 0.0, 0.0, 0.0, 0.0, 6.0, 12.0, 16.0, 15.0, 0.0, 0.0, 0.0, 5.0, 16.0, 16.0, 14.0, 7.0, 0.0, 0.0, 0.0, 3.0, 6.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 2.0, 0.0, 0.0, 0.0], [0.0, 0.0, 4.0, 13.0, 16.0, 11.0, 0.0, 0.0, 0.0, 9.0, 16.0, 9.0, 10.0, 15.0, 0.0, 0.0, 0.0, 5.0, 4.0, 0.0, 12.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 12.0, 1.0, 0.0, 0.0, 0.0, 0.0, 1.0, 9.0, 15.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 12.0, 0.0, 0.0, 0.0, 1.0, 6.0, 8.0, 16.0, 8.0, 0.0, 0.0, 0.0, 5.0, 16.0, 15.0, 9.0, 1.0, 0.0], [0.0, 1.0, 11.0, 15.0, 16.0, 9.0, 0.0, 0.0, 0.0, 3.0, 16.0, 10.0, 10.0, 16.0, 1.0, 0.0, 0.0, 0.0, 2.0, 1.0, 14.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 16.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 8.0, 0.0, 0.0, 0.0, 6.0, 8.0, 13.0, 15.0, 5.0, 0.0, 0.0, 0.0, 15.0, 16.0, 12.0, 5.0, 0.0, 0.0], [0.0, 0.0, 0.0, 6.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 9.0, 15.0, 3.0, 0.0, 0.0, 1.0, 15.0, 7.0, 5.0, 15.0, 0.0, 0.0, 0.0, 9.0, 16.0, 4.0, 11.0, 14.0, 10.0, 0.0, 0.0, 9.0, 16.0, 16.0, 16.0, 16.0, 9.0, 0.0, 0.0, 0.0, 2.0, 4.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 10.0, 0.0, 0.0, 0.0], [0.0, 0.0, 2.0, 14.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 12.0, 1.0, 0.0, 0.0, 0.0, 0.0, 1.0, 15.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 12.0, 12.0, 16.0, 13.0, 2.0, 0.0, 0.0, 4.0, 16.0, 12.0, 6.0, 6.0, 11.0, 0.0, 0.0, 0.0, 14.0, 9.0, 0.0, 5.0, 13.0, 0.0, 0.0, 0.0, 3.0, 11.0, 15.0, 14.0, 1.0, 0.0], [0.0, 0.0, 1.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 9.0, 3.0, 2.0, 0.0, 0.0, 0.0, 0.0, 13.0, 16.0, 16.0, 15.0, 4.0, 0.0, 0.0, 0.0, 13.0, 13.0, 6.0, 4.0, 12.0, 0.0, 0.0, 0.0, 9.0, 11.0, 5.0, 9.0, 15.0, 2.0, 0.0, 0.0, 2.0, 12.0, 16.0, 12.0, 6.0, 0.0], [0.0, 0.0, 9.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 8.0, 14.0, 9.0, 0.0, 0.0, 0.0, 5.0, 16.0, 15.0, 8.0, 9.0, 10.0, 0.0, 0.0, 3.0, 16.0, 2.0, 0.0, 7.0, 11.0, 0.0, 0.0, 0.0, 7.0, 14.0, 16.0, 12.0, 1.0, 0.0], [0.0, 0.0, 0.0, 1.0, 11.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 9.0, 15.0, 15.0, 7.0, 0.0, 0.0, 0.0, 5.0, 16.0, 3.0, 16.0, 4.0, 0.0, 0.0, 0.0, 10.0, 13.0, 9.0, 16.0, 14.0, 8.0, 0.0, 0.0, 3.0, 15.0, 16.0, 16.0, 13.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 2.0, 0.0, 0.0], [0.0, 0.0, 0.0, 1.0, 7.0, 12.0, 14.0, 1.0, 0.0, 0.0, 1.0, 13.0, 8.0, 4.0, 13.0, 0.0, 0.0, 0.0, 10.0, 16.0, 9.0, 15.0, 11.0, 0.0, 0.0, 1.0, 16.0, 15.0, 15.0, 16.0, 3.0, 0.0, 0.0, 0.0, 11.0, 9.0, 3.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 6.0, 0.0, 0.0], [0.0, 0.0, 0.0, 10.0, 12.0, 8.0, 1.0, 0.0, 0.0, 0.0, 5.0, 16.0, 16.0, 16.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 16.0, 9.0, 0.0, 0.0, 0.0, 2.0, 15.0, 16.0, 13.0, 2.0, 0.0, 0.0, 0.0, 4.0, 16.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 1.0, 15.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 11.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 12.0, 6.0, 0.0, 0.0], [0.0, 0.0, 6.0, 16.0, 16.0, 16.0, 10.0, 0.0, 0.0, 0.0, 13.0, 15.0, 9.0, 6.0, 0.0, 0.0, 0.0, 6.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 15.0, 4.0, 2.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 16.0, 16.0, 15.0, 1.0, 0.0, 0.0, 0.0, 6.0, 8.0, 9.0, 16.0, 4.0, 0.0, 0.0, 0.0, 1.0, 3.0, 13.0, 15.0, 1.0, 0.0, 0.0, 0.0, 7.0, 16.0, 15.0, 3.0, 0.0, 0.0], [0.0, 0.0, 0.0, 9.0, 13.0, 3.0, 0.0, 0.0, 0.0, 0.0, 8.0, 15.0, 12.0, 15.0, 2.0, 0.0, 0.0, 0.0, 12.0, 8.0, 0.0, 15.0, 4.0, 0.0, 0.0, 3.0, 13.0, 0.0, 0.0, 10.0, 7.0, 0.0, 0.0, 8.0, 9.0, 0.0, 0.0, 13.0, 7.0, 0.0, 0.0, 2.0, 16.0, 4.0, 7.0, 16.0, 5.0, 0.0, 0.0, 0.0, 14.0, 14.0, 16.0, 15.0, 1.0, 0.0, 0.0, 0.0, 1.0, 12.0, 14.0, 4.0, 0.0, 0.0], [0.0, 0.0, 0.0, 0.0, 8.0, 13.0, 3.0, 0.0, 0.0, 0.0, 0.0, 12.0, 11.0, 11.0, 5.0, 0.0, 0.0, 0.0, 11.0, 8.0, 8.0, 16.0, 0.0, 0.0, 0.0, 2.0, 16.0, 16.0, 16.0, 15.0, 0.0, 0.0, 0.0, 2.0, 16.0, 11.0, 7.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 7.0, 0.0, 0.0], [0.0, 0.0, 2.0, 16.0, 15.0, 15.0, 8.0, 0.0, 0.0, 0.0, 7.0, 16.0, 15.0, 12.0, 7.0, 0.0, 0.0, 3.0, 15.0, 8.0, 1.0, 0.0, 0.0, 0.0, 0.0, 9.0, 15.0, 4.0, 4.0, 2.0, 0.0, 0.0, 0.0, 5.0, 16.0, 16.0, 16.0, 15.0, 2.0, 0.0, 0.0, 0.0, 5.0, 6.0, 8.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 1.0, 14.0, 10.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 13.0, 1.0, 0.0, 0.0], [0.0, 0.0, 9.0, 16.0, 16.0, 9.0, 0.0, 0.0, 0.0, 5.0, 16.0, 14.0, 15.0, 16.0, 1.0, 0.0, 0.0, 2.0, 11.0, 1.0, 10.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 15.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 7.0, 8.0, 7.0, 0.0, 0.0, 0.0, 9.0, 16.0, 15.0, 14.0, 2.0, 0.0, 0.0, 0.0, 9.0, 16.0, 13.0, 1.0, 0.0, 0.0], [0.0, 0.0, 3.0, 12.0, 11.0, 4.0, 0.0, 0.0, 0.0, 4.0, 15.0, 13.0, 12.0, 16.0, 0.0, 0.0, 0.0, 9.0, 14.0, 0.0, 0.0, 12.0, 2.0, 0.0, 0.0, 0.0, 13.0, 11.0, 7.0, 15.0, 3.0, 0.0, 0.0, 0.0, 0.0, 15.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 10.0, 14.0, 2.0, 0.0, 0.0, 0.0, 11.0, 13.0, 0.0, 8.0, 8.0, 0.0, 0.0, 0.0, 2.0, 12.0, 16.0, 16.0, 7.0, 0.0], [0.0, 0.0, 4.0, 14.0, 16.0, 5.0, 0.0, 0.0, 0.0, 4.0, 16.0, 16.0, 16.0, 8.0, 0.0, 0.0, 0.0, 10.0, 15.0, 9.0, 16.0, 4.0, 0.0, 0.0, 0.0, 1.0, 2.0, 13.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 0.0, 5.0, 7.0, 0.0, 0.0, 0.0, 8.0, 16.0, 13.0, 16.0, 6.0, 0.0, 0.0, 0.0, 2.0, 15.0, 16.0, 6.0, 0.0, 0.0], [0.0, 0.0, 4.0, 12.0, 13.0, 5.0, 0.0, 0.0, 0.0, 0.0, 14.0, 16.0, 16.0, 16.0, 4.0, 0.0, 0.0, 6.0, 13.0, 2.0, 1.0, 11.0, 8.0, 0.0, 0.0, 6.0, 11.0, 0.0, 0.0, 8.0, 8.0, 0.0, 0.0, 4.0, 16.0, 0.0, 0.0, 10.0, 8.0, 0.0, 0.0, 4.0, 16.0, 4.0, 8.0, 16.0, 3.0, 0.0, 0.0, 0.0, 16.0, 16.0, 16.0, 12.0, 0.0, 0.0, 0.0, 0.0, 4.0, 15.0, 14.0, 3.0, 0.0, 0.0], [0.0, 0.0, 3.0, 11.0, 7.0, 1.0, 0.0, 0.0, 0.0, 0.0, 10.0, 15.0, 14.0, 14.0, 0.0, 0.0, 0.0, 2.0, 16.0, 10.0, 1.0, 12.0, 4.0, 0.0, 0.0, 2.0, 16.0, 3.0, 0.0, 4.0, 8.0, 0.0, 0.0, 5.0, 12.0, 0.0, 0.0, 6.0, 8.0, 0.0, 0.0, 1.0, 12.0, 0.0, 0.0, 11.0, 9.0, 0.0, 0.0, 0.0, 15.0, 9.0, 14.0, 15.0, 1.0, 0.0, 0.0, 0.0, 4.0, 15.0, 15.0, 4.0, 0.0, 0.0], [0.0, 0.0, 0.0, 10.0, 16.0, 11.0, 1.0, 0.0, 0.0, 0.0, 0.0, 15.0, 16.0, 15.0, 2.0, 0.0, 0.0, 0.0, 1.0, 13.0, 16.0, 14.0, 0.0, 0.0, 0.0, 0.0, 1.0, 15.0, 16.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 1.0, 14.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 15.0, 1.0, 0.0, 0.0], [0.0, 0.0, 0.0, 7.0, 14.0, 16.0, 5.0, 0.0, 0.0, 0.0, 7.0, 16.0, 12.0, 16.0, 8.0, 0.0, 0.0, 0.0, 4.0, 2.0, 1.0, 16.0, 4.0, 0.0, 0.0, 0.0, 3.0, 12.0, 12.0, 16.0, 8.0, 0.0, 0.0, 0.0, 12.0, 16.0, 16.0, 15.0, 5.0, 0.0, 0.0, 0.0, 5.0, 5.0, 13.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 8.0, 0.0, 0.0, 0.0], [0.0, 0.0, 1.0, 13.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0, 1.0, 14.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 3.0, 0.0, 1.0, 0.0, 0.0, 0.0, 1.0, 16.0, 6.0, 15.0, 15.0, 5.0, 0.0, 0.0, 1.0, 16.0, 14.0, 4.0, 3.0, 12.0, 0.0, 0.0, 0.0, 7.0, 7.0, 0.0, 9.0, 12.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 9.0, 2.0, 0.0], [0.0, 1.0, 5.0, 12.0, 16.0, 14.0, 2.0, 0.0, 0.0, 8.0, 16.0, 16.0, 16.0, 16.0, 3.0, 0.0, 0.0, 6.0, 9.0, 2.0, 12.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 13.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 14.0, 10.0, 0.0, 0.0, 0.0, 1.0, 11.0, 15.0, 15.0, 5.0, 0.0, 0.0, 0.0, 6.0, 16.0, 12.0, 5.0, 0.0, 0.0], [0.0, 2.0, 12.0, 16.0, 12.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 13.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 3.0, 5.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 15.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 13.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 11.0, 8.0, 11.0, 5.0, 0.0, 0.0, 0.0, 15.0, 16.0, 16.0, 15.0, 3.0, 0.0], [0.0, 0.0, 5.0, 15.0, 13.0, 12.0, 4.0, 0.0, 0.0, 0.0, 11.0, 16.0, 16.0, 14.0, 0.0, 0.0, 0.0, 0.0, 16.0, 16.0, 16.0, 8.0, 0.0, 0.0, 0.0, 4.0, 16.0, 16.0, 15.0, 3.0, 0.0, 0.0, 0.0, 2.0, 16.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 15.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 15.0, 3.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 6.0, 13.0, 16.0, 16.0, 9.0, 0.0, 0.0, 6.0, 16.0, 14.0, 11.0, 16.0, 10.0, 0.0, 0.0, 2.0, 3.0, 0.0, 4.0, 15.0, 4.0, 0.0, 0.0, 2.0, 9.0, 12.0, 16.0, 13.0, 0.0, 0.0, 2.0, 15.0, 16.0, 16.0, 16.0, 3.0, 0.0, 0.0, 4.0, 9.0, 3.0, 10.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 9.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 2.0, 14.0, 2.0, 0.0, 0.0, 0.0, 0.0, 1.0, 13.0, 15.0, 6.0, 0.0, 0.0, 0.0, 0.0, 12.0, 15.0, 12.0, 11.0, 0.0, 0.0, 0.0, 5.0, 16.0, 4.0, 15.0, 6.0, 0.0, 0.0, 0.0, 12.0, 15.0, 8.0, 16.0, 16.0, 11.0, 0.0, 0.0, 6.0, 16.0, 16.0, 16.0, 8.0, 2.0, 0.0, 0.0, 0.0, 2.0, 6.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 14.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 8.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 15.0, 16.0, 16.0, 14.0, 1.0, 0.0, 0.0, 4.0, 16.0, 1.0, 4.0, 15.0, 6.0, 0.0, 0.0, 0.0, 5.0, 14.0, 15.0, 10.0, 0.0], [0.0, 0.0, 6.0, 9.0, 11.0, 9.0, 0.0, 0.0, 0.0, 13.0, 16.0, 15.0, 15.0, 15.0, 0.0, 0.0, 0.0, 4.0, 5.0, 2.0, 15.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 15.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 15.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 12.0, 0.0, 0.0, 0.0, 0.0, 5.0, 13.0, 16.0, 9.0, 0.0, 0.0, 0.0, 3.0, 13.0, 12.0, 7.0, 1.0, 0.0], [0.0, 1.0, 11.0, 16.0, 15.0, 12.0, 3.0, 0.0, 0.0, 1.0, 13.0, 16.0, 16.0, 12.0, 0.0, 0.0, 0.0, 2.0, 16.0, 16.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 16.0, 16.0, 16.0, 2.0, 0.0, 0.0, 0.0, 8.0, 16.0, 16.0, 14.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 1.0, 13.0, 16.0, 13.0, 1.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 12.0, 0.0, 0.0, 0.0], [0.0, 0.0, 7.0, 15.0, 12.0, 0.0, 0.0, 0.0, 0.0, 3.0, 15.0, 8.0, 14.0, 2.0, 0.0, 0.0, 0.0, 0.0, 5.0, 2.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 11.0, 8.0, 2.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 16.0, 15.0, 4.0, 0.0, 0.0, 0.0, 1.0, 4.0, 2.0, 12.0, 6.0, 0.0, 0.0, 0.0, 2.0, 4.0, 13.0, 12.0, 0.0, 0.0, 0.0, 0.0, 5.0, 13.0, 9.0, 1.0, 0.0, 0.0], [0.0, 0.0, 0.0, 0.0, 5.0, 15.0, 10.0, 0.0, 0.0, 0.0, 0.0, 8.0, 11.0, 15.0, 7.0, 0.0, 0.0, 0.0, 6.0, 13.0, 10.0, 16.0, 7.0, 0.0, 0.0, 3.0, 16.0, 14.0, 12.0, 15.0, 4.0, 0.0, 0.0, 1.0, 11.0, 8.0, 1.0, 14.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 4.0, 0.0, 0.0], [0.0, 0.0, 5.0, 12.0, 12.0, 8.0, 1.0, 0.0, 0.0, 0.0, 10.0, 16.0, 16.0, 15.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 16.0, 8.0, 0.0, 0.0, 0.0, 4.0, 16.0, 16.0, 16.0, 4.0, 0.0, 0.0, 0.0, 3.0, 16.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 16.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 13.0, 16.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 10.0, 12.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 7.0, 14.0, 16.0, 6.0, 0.0, 0.0, 0.0, 10.0, 16.0, 12.0, 15.0, 9.0, 0.0, 0.0, 0.0, 8.0, 3.0, 2.0, 16.0, 7.0, 0.0, 0.0, 0.0, 1.0, 8.0, 13.0, 16.0, 14.0, 0.0, 0.0, 2.0, 13.0, 16.0, 16.0, 12.0, 1.0, 0.0, 0.0, 6.0, 12.0, 6.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 6.0, 0.0, 0.0, 0.0], [0.0, 0.0, 3.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 15.0, 0.0, 1.0, 0.0, 0.0, 0.0, 0.0, 4.0, 15.0, 14.0, 16.0, 13.0, 2.0, 0.0, 0.0, 3.0, 16.0, 11.0, 3.0, 7.0, 12.0, 0.0, 0.0, 0.0, 13.0, 6.0, 3.0, 8.0, 14.0, 0.0, 0.0, 0.0, 4.0, 14.0, 16.0, 14.0, 7.0, 0.0], [0.0, 0.0, 4.0, 14.0, 14.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 16.0, 16.0, 5.0, 1.0, 0.0, 0.0, 9.0, 13.0, 0.0, 13.0, 16.0, 2.0, 0.0, 0.0, 3.0, 16.0, 13.0, 15.0, 5.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 13.0, 14.0, 7.0, 0.0, 0.0, 0.0, 0.0, 10.0, 11.0, 10.0, 15.0, 0.0, 0.0, 0.0, 0.0, 4.0, 13.0, 11.0, 3.0, 0.0, 0.0], [0.0, 0.0, 0.0, 12.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 3.0, 12.0, 4.0, 0.0, 0.0, 1.0, 16.0, 5.0, 8.0, 14.0, 0.0, 0.0, 0.0, 9.0, 15.0, 0.0, 13.0, 10.0, 2.0, 0.0, 0.0, 10.0, 15.0, 12.0, 16.0, 16.0, 9.0, 0.0, 0.0, 6.0, 16.0, 16.0, 15.0, 9.0, 1.0, 0.0, 0.0, 0.0, 0.0, 14.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 6.0, 14.0, 11.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 9.0, 16.0, 0.0, 0.0, 0.0, 0.0, 3.0, 7.0, 5.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 14.0, 8.0, 2.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 16.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 8.0, 0.0, 0.0, 0.0, 0.0, 4.0, 10.0, 15.0, 2.0, 0.0, 0.0, 0.0, 5.0, 16.0, 12.0, 4.0, 0.0, 0.0], [0.0, 0.0, 0.0, 4.0, 11.0, 9.0, 5.0, 0.0, 0.0, 0.0, 5.0, 16.0, 16.0, 16.0, 5.0, 0.0, 0.0, 0.0, 11.0, 16.0, 16.0, 9.0, 0.0, 0.0, 0.0, 4.0, 16.0, 16.0, 16.0, 4.0, 0.0, 0.0, 0.0, 1.0, 14.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 4.0, 15.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 5.0, 0.0, 0.0, 0.0], [0.0, 0.0, 1.0, 14.0, 8.0, 8.0, 1.0, 0.0, 0.0, 0.0, 10.0, 13.0, 8.0, 16.0, 1.0, 0.0, 0.0, 2.0, 16.0, 4.0, 10.0, 11.0, 0.0, 0.0, 0.0, 7.0, 15.0, 6.0, 14.0, 16.0, 13.0, 0.0, 0.0, 3.0, 16.0, 16.0, 15.0, 9.0, 2.0, 0.0, 0.0, 0.0, 3.0, 11.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 2.0, 10.0, 15.0, 1.0, 0.0, 0.0, 0.0, 3.0, 16.0, 16.0, 13.0, 13.0, 0.0, 0.0, 0.0, 5.0, 16.0, 12.0, 1.0, 12.0, 1.0, 0.0, 0.0, 7.0, 13.0, 5.0, 0.0, 7.0, 5.0, 0.0, 0.0, 2.0, 14.0, 0.0, 0.0, 7.0, 10.0, 0.0, 0.0, 0.0, 12.0, 2.0, 0.0, 12.0, 7.0, 0.0, 0.0, 0.0, 9.0, 12.0, 12.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 6.0, 0.0, 0.0], [0.0, 0.0, 10.0, 16.0, 16.0, 13.0, 0.0, 0.0, 0.0, 4.0, 16.0, 15.0, 12.0, 4.0, 0.0, 0.0, 0.0, 8.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 11.0, 6.0, 1.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 16.0, 13.0, 2.0, 0.0, 0.0, 0.0, 0.0, 1.0, 7.0, 14.0, 12.0, 0.0, 0.0, 0.0, 0.0, 6.0, 13.0, 16.0, 10.0, 0.0, 0.0, 0.0, 12.0, 16.0, 14.0, 6.0, 0.0, 0.0], [0.0, 1.0, 10.0, 16.0, 16.0, 8.0, 0.0, 0.0, 0.0, 10.0, 16.0, 13.0, 16.0, 12.0, 0.0, 0.0, 0.0, 1.0, 3.0, 3.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 14.0, 1.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 16.0, 12.0, 3.0, 0.0, 0.0, 0.0, 0.0, 5.0, 11.0, 16.0, 11.0, 0.0, 0.0, 0.0, 2.0, 7.0, 14.0, 16.0, 6.0, 0.0, 0.0, 0.0, 11.0, 16.0, 13.0, 5.0, 0.0, 0.0], [0.0, 0.0, 0.0, 6.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 15.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 7.0, 5.0, 5.0, 0.0, 0.0, 0.0, 2.0, 16.0, 13.0, 9.0, 13.0, 11.0, 0.0, 0.0, 0.0, 8.0, 13.0, 7.0, 5.0, 15.0, 3.0, 0.0, 0.0, 0.0, 5.0, 11.0, 13.0, 12.0, 2.0], [0.0, 0.0, 0.0, 0.0, 5.0, 11.0, 14.0, 1.0, 0.0, 0.0, 0.0, 10.0, 13.0, 8.0, 15.0, 2.0, 0.0, 0.0, 11.0, 9.0, 4.0, 9.0, 12.0, 0.0, 0.0, 5.0, 16.0, 16.0, 16.0, 16.0, 6.0, 0.0, 0.0, 0.0, 15.0, 16.0, 13.0, 16.0, 3.0, 0.0, 0.0, 0.0, 2.0, 3.0, 1.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 5.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 14.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 14.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 8.0, 4.0, 6.0, 2.0, 0.0, 0.0, 0.0, 11.0, 16.0, 13.0, 12.0, 13.0, 0.0, 0.0, 0.0, 12.0, 14.0, 4.0, 5.0, 16.0, 2.0, 0.0, 0.0, 1.0, 8.0, 16.0, 13.0, 9.0, 1.0], [0.0, 0.0, 2.0, 12.0, 12.0, 8.0, 1.0, 0.0, 0.0, 0.0, 2.0, 15.0, 16.0, 16.0, 8.0, 0.0, 0.0, 0.0, 5.0, 16.0, 16.0, 14.0, 3.0, 0.0, 0.0, 0.0, 8.0, 16.0, 16.0, 10.0, 0.0, 0.0, 0.0, 3.0, 15.0, 16.0, 13.0, 0.0, 0.0, 0.0, 0.0, 2.0, 14.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 9.0, 5.0, 0.0, 0.0, 0.0], [0.0, 0.0, 1.0, 9.0, 15.0, 12.0, 5.0, 0.0, 0.0, 0.0, 8.0, 16.0, 16.0, 16.0, 13.0, 0.0, 0.0, 0.0, 3.0, 1.0, 1.0, 14.0, 10.0, 0.0, 0.0, 0.0, 3.0, 10.0, 13.0, 16.0, 15.0, 0.0, 0.0, 2.0, 16.0, 16.0, 16.0, 15.0, 3.0, 0.0, 0.0, 3.0, 8.0, 2.0, 13.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 5.0, 0.0, 0.0, 0.0], [0.0, 0.0, 11.0, 16.0, 16.0, 16.0, 16.0, 2.0, 0.0, 5.0, 16.0, 16.0, 14.0, 10.0, 4.0, 0.0, 0.0, 5.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 15.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 13.0, 1.0, 0.0, 0.0], [0.0, 0.0, 0.0, 9.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 15.0, 6.0, 12.0, 0.0, 0.0, 0.0, 1.0, 12.0, 8.0, 5.0, 14.0, 0.0, 0.0, 0.0, 6.0, 14.0, 0.0, 12.0, 7.0, 0.0, 0.0, 0.0, 14.0, 6.0, 2.0, 16.0, 9.0, 5.0, 0.0, 0.0, 16.0, 13.0, 13.0, 16.0, 15.0, 4.0, 0.0, 1.0, 15.0, 16.0, 16.0, 12.0, 2.0, 0.0, 0.0, 0.0, 3.0, 3.0, 13.0, 4.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 10.0, 6.0, 0.0, 10.0, 14.0, 0.0, 0.0, 7.0, 15.0, 2.0, 7.0, 14.0, 1.0, 0.0, 0.0, 15.0, 9.0, 1.0, 15.0, 12.0, 2.0, 0.0, 4.0, 16.0, 10.0, 11.0, 16.0, 12.0, 1.0, 0.0, 2.0, 16.0, 16.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 5.0, 12.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 3.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 8.0, 14.0, 15.0, 7.0, 0.0, 0.0, 0.0, 4.0, 16.0, 12.0, 15.0, 14.0, 0.0, 0.0, 0.0, 1.0, 1.0, 0.0, 11.0, 12.0, 0.0, 0.0, 0.0, 2.0, 4.0, 6.0, 14.0, 15.0, 0.0, 0.0, 4.0, 16.0, 16.0, 16.0, 16.0, 5.0, 0.0, 0.0, 8.0, 12.0, 7.0, 14.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 7.0, 0.0, 0.0, 0.0], [0.0, 0.0, 7.0, 15.0, 15.0, 5.0, 0.0, 0.0, 0.0, 6.0, 16.0, 12.0, 16.0, 12.0, 0.0, 0.0, 0.0, 1.0, 7.0, 0.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 13.0, 1.0, 5.0, 1.0, 0.0, 0.0, 0.0, 12.0, 12.0, 13.0, 15.0, 3.0, 0.0, 0.0, 0.0, 10.0, 16.0, 13.0, 3.0, 0.0, 0.0], [0.0, 0.0, 0.0, 8.0, 15.0, 9.0, 1.0, 0.0, 0.0, 0.0, 11.0, 14.0, 12.0, 15.0, 8.0, 0.0, 0.0, 0.0, 15.0, 5.0, 6.0, 14.0, 2.0, 0.0, 0.0, 0.0, 14.0, 14.0, 15.0, 1.0, 0.0, 0.0, 0.0, 1.0, 13.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 9.0, 13.0, 0.0, 0.0, 0.0, 0.0, 2.0, 13.0, 15.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 1.0, 9.0, 15.0, 2.0, 0.0, 0.0], [0.0, 0.0, 9.0, 16.0, 16.0, 8.0, 0.0, 0.0, 0.0, 5.0, 16.0, 15.0, 14.0, 16.0, 0.0, 0.0, 0.0, 4.0, 9.0, 3.0, 13.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 14.0, 1.0, 4.0, 3.0, 0.0, 0.0, 0.0, 16.0, 14.0, 15.0, 16.0, 4.0, 0.0, 0.0, 0.0, 9.0, 16.0, 15.0, 5.0, 0.0, 0.0], [0.0, 1.0, 8.0, 16.0, 16.0, 3.0, 0.0, 0.0, 0.0, 6.0, 16.0, 12.0, 16.0, 4.0, 0.0, 0.0, 0.0, 1.0, 7.0, 0.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 14.0, 1.0, 4.0, 5.0, 0.0, 0.0, 0.0, 13.0, 12.0, 11.0, 15.0, 3.0, 0.0, 0.0, 0.0, 12.0, 16.0, 12.0, 3.0, 0.0, 0.0], [0.0, 0.0, 8.0, 14.0, 16.0, 16.0, 1.0, 0.0, 0.0, 6.0, 16.0, 16.0, 8.0, 3.0, 0.0, 0.0, 0.0, 14.0, 14.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 15.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 15.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 8.0, 15.0, 2.0, 0.0, 0.0, 0.0, 0.0, 2.0, 13.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 4.0, 0.0, 0.0, 0.0], [0.0, 0.0, 4.0, 15.0, 16.0, 11.0, 0.0, 0.0, 0.0, 0.0, 7.0, 9.0, 9.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 13.0, 0.0, 0.0, 0.0, 0.0, 1.0, 9.0, 15.0, 16.0, 10.0, 0.0, 0.0, 0.0, 13.0, 15.0, 16.0, 8.0, 2.0, 0.0, 0.0, 0.0, 3.0, 7.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 13.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 11.0, 0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 1.0, 8.0, 13.0, 14.0, 2.0, 0.0, 0.0, 2.0, 13.0, 9.0, 4.0, 14.0, 4.0, 0.0, 0.0, 13.0, 9.0, 0.0, 9.0, 14.0, 1.0, 0.0, 4.0, 16.0, 14.0, 14.0, 16.0, 6.0, 0.0, 0.0, 1.0, 11.0, 10.0, 7.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 3.0, 0.0, 0.0], [0.0, 3.0, 10.0, 16.0, 16.0, 16.0, 2.0, 0.0, 0.0, 14.0, 16.0, 14.0, 9.0, 3.0, 0.0, 0.0, 0.0, 16.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 14.0, 13.0, 0.0, 0.0, 0.0, 0.0, 2.0, 15.0, 16.0, 8.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 5.0, 11.0, 0.0, 6.0, 0.0, 0.0, 0.0, 3.0, 15.0, 7.0, 6.0, 16.0, 1.0, 0.0, 0.0, 13.0, 9.0, 1.0, 13.0, 7.0, 0.0, 0.0, 6.0, 15.0, 2.0, 6.0, 15.0, 0.0, 0.0, 0.0, 14.0, 10.0, 0.0, 14.0, 12.0, 3.0, 0.0, 0.0, 14.0, 16.0, 16.0, 16.0, 14.0, 3.0, 0.0, 0.0, 5.0, 11.0, 14.0, 13.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 9.0, 0.0, 0.0, 0.0], [0.0, 0.0, 4.0, 12.0, 16.0, 8.0, 0.0, 0.0, 0.0, 5.0, 16.0, 11.0, 10.0, 16.0, 4.0, 0.0, 0.0, 8.0, 13.0, 0.0, 1.0, 13.0, 4.0, 0.0, 0.0, 3.0, 16.0, 13.0, 15.0, 13.0, 3.0, 0.0, 0.0, 0.0, 9.0, 16.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 14.0, 7.0, 5.0, 15.0, 6.0, 0.0, 0.0, 0.0, 10.0, 12.0, 7.0, 13.0, 10.0, 0.0, 0.0, 0.0, 3.0, 13.0, 13.0, 10.0, 1.0, 0.0], [0.0, 0.0, 4.0, 15.0, 7.0, 0.0, 0.0, 0.0, 0.0, 1.0, 13.0, 12.0, 16.0, 2.0, 2.0, 0.0, 0.0, 7.0, 11.0, 0.0, 11.0, 12.0, 1.0, 0.0, 0.0, 4.0, 8.0, 6.0, 13.0, 3.0, 0.0, 0.0, 0.0, 3.0, 16.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 14.0, 6.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 10.0, 14.0, 3.0, 0.0, 0.0, 0.0, 0.0, 2.0, 9.0, 12.0, 3.0, 0.0, 0.0], [0.0, 0.0, 0.0, 11.0, 5.0, 3.0, 11.0, 0.0, 0.0, 0.0, 7.0, 14.0, 2.0, 12.0, 9.0, 0.0, 0.0, 2.0, 15.0, 6.0, 3.0, 16.0, 5.0, 0.0, 0.0, 7.0, 16.0, 8.0, 13.0, 16.0, 13.0, 0.0, 0.0, 7.0, 16.0, 16.0, 16.0, 7.0, 1.0, 0.0, 0.0, 0.0, 4.0, 10.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 1.0, 9.0, 16.0, 9.0, 0.0, 0.0, 0.0, 1.0, 11.0, 13.0, 14.0, 12.0, 1.0, 0.0, 1.0, 15.0, 13.0, 4.0, 16.0, 16.0, 3.0, 0.0, 2.0, 16.0, 16.0, 16.0, 15.0, 12.0, 0.0, 0.0, 0.0, 7.0, 8.0, 4.0, 14.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 6.0, 0.0, 0.0], [0.0, 0.0, 2.0, 12.0, 15.0, 3.0, 0.0, 0.0, 0.0, 0.0, 15.0, 15.0, 13.0, 15.0, 0.0, 0.0, 0.0, 2.0, 14.0, 3.0, 1.0, 12.0, 3.0, 0.0, 0.0, 4.0, 8.0, 0.0, 0.0, 8.0, 8.0, 0.0, 0.0, 7.0, 10.0, 0.0, 0.0, 9.0, 5.0, 0.0, 0.0, 1.0, 13.0, 5.0, 3.0, 15.0, 2.0, 0.0, 0.0, 0.0, 7.0, 16.0, 14.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 14.0, 4.0, 0.0, 0.0], [0.0, 0.0, 3.0, 13.0, 15.0, 5.0, 0.0, 0.0, 0.0, 1.0, 15.0, 13.0, 10.0, 15.0, 0.0, 0.0, 0.0, 2.0, 16.0, 3.0, 2.0, 9.0, 0.0, 0.0, 0.0, 0.0, 12.0, 13.0, 14.0, 7.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 4.0, 9.0, 11.0, 1.0, 0.0, 0.0, 0.0, 15.0, 3.0, 0.0, 8.0, 8.0, 0.0, 0.0, 0.0, 3.0, 12.0, 15.0, 12.0, 7.0, 0.0], [0.0, 0.0, 0.0, 3.0, 12.0, 16.0, 15.0, 1.0, 0.0, 0.0, 3.0, 16.0, 9.0, 10.0, 16.0, 0.0, 0.0, 0.0, 14.0, 13.0, 7.0, 15.0, 10.0, 0.0, 0.0, 2.0, 16.0, 16.0, 16.0, 16.0, 2.0, 0.0, 0.0, 2.0, 12.0, 9.0, 13.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 14.0, 1.0, 0.0, 0.0], [0.0, 0.0, 4.0, 11.0, 15.0, 7.0, 0.0, 0.0, 0.0, 2.0, 15.0, 14.0, 9.0, 15.0, 1.0, 0.0, 0.0, 8.0, 15.0, 1.0, 6.0, 16.0, 5.0, 0.0, 0.0, 6.0, 14.0, 13.0, 15.0, 6.0, 0.0, 0.0, 0.0, 1.0, 16.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 4.0, 15.0, 11.0, 15.0, 1.0, 0.0, 0.0, 0.0, 1.0, 12.0, 3.0, 7.0, 9.0, 0.0, 0.0, 0.0, 0.0, 4.0, 14.0, 16.0, 6.0, 0.0, 0.0], [0.0, 0.0, 7.0, 11.0, 15.0, 9.0, 0.0, 0.0, 0.0, 0.0, 15.0, 15.0, 4.0, 11.0, 4.0, 0.0, 0.0, 3.0, 11.0, 5.0, 0.0, 2.0, 10.0, 0.0, 0.0, 7.0, 8.0, 0.0, 0.0, 3.0, 8.0, 0.0, 0.0, 6.0, 8.0, 0.0, 0.0, 4.0, 8.0, 0.0, 0.0, 5.0, 8.0, 0.0, 0.0, 8.0, 5.0, 0.0, 0.0, 1.0, 12.0, 2.0, 1.0, 13.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 14.0, 3.0, 0.0, 0.0], [0.0, 0.0, 4.0, 14.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 1.0, 15.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 2.0, 15.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 14.0, 1.0, 0.0, 0.0], [0.0, 2.0, 15.0, 16.0, 12.0, 0.0, 0.0, 0.0, 0.0, 8.0, 11.0, 8.0, 16.0, 0.0, 0.0, 0.0, 0.0, 3.0, 1.0, 7.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 11.0, 6.0, 5.0, 2.0, 0.0, 0.0, 1.0, 16.0, 16.0, 16.0, 16.0, 9.0, 0.0], [0.0, 1.0, 13.0, 16.0, 12.0, 1.0, 0.0, 0.0, 0.0, 1.0, 9.0, 5.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 15.0, 16.0, 11.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 12.0, 7.0, 0.0, 0.0, 0.0, 2.0, 4.0, 6.0, 15.0, 3.0, 0.0, 0.0, 0.0, 14.0, 16.0, 11.0, 5.0, 0.0, 0.0], [0.0, 0.0, 0.0, 12.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 1.0, 14.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 3.0, 2.0, 0.0, 0.0, 0.0, 0.0, 13.0, 12.0, 8.0, 12.0, 0.0, 0.0, 0.0, 0.0, 15.0, 16.0, 15.0, 16.0, 13.0, 4.0, 0.0, 0.0, 4.0, 9.0, 14.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 13.0, 0.0, 0.0, 0.0], [0.0, 2.0, 13.0, 16.0, 16.0, 16.0, 15.0, 2.0, 0.0, 8.0, 16.0, 12.0, 8.0, 4.0, 1.0, 0.0, 0.0, 5.0, 16.0, 13.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 13.0, 12.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 16.0, 6.0, 0.0, 0.0, 0.0], [0.0, 0.0, 1.0, 14.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 15.0, 3.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 14.0, 13.0, 15.0, 10.0, 0.0, 0.0, 0.0, 8.0, 16.0, 2.0, 3.0, 14.0, 5.0, 0.0, 0.0, 5.0, 16.0, 4.0, 0.0, 12.0, 6.0, 0.0, 0.0, 0.0, 10.0, 13.0, 2.0, 14.0, 6.0, 0.0, 0.0, 0.0, 2.0, 12.0, 16.0, 11.0, 1.0, 0.0], [0.0, 0.0, 5.0, 15.0, 16.0, 14.0, 1.0, 0.0, 0.0, 0.0, 11.0, 13.0, 9.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 11.0, 0.0, 0.0, 0.0, 0.0, 7.0, 13.0, 15.0, 12.0, 1.0, 0.0, 0.0, 0.0, 7.0, 14.0, 14.0, 12.0, 4.0, 0.0, 0.0, 0.0, 0.0, 14.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 10.0, 0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 3.0, 13.0, 8.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 16.0, 14.0, 0.0, 0.0, 0.0, 0.0, 11.0, 11.0, 9.0, 10.0, 0.0, 0.0, 0.0, 0.0, 8.0, 14.0, 15.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 15.0, 5.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 3.0, 13.0, 9.0, 0.0, 0.0, 0.0, 5.0, 15.0, 4.0, 13.0, 11.0, 0.0, 0.0, 0.0, 1.0, 15.0, 15.0, 8.0, 2.0, 0.0], [0.0, 0.0, 5.0, 11.0, 13.0, 3.0, 0.0, 0.0, 0.0, 0.0, 16.0, 13.0, 15.0, 9.0, 0.0, 0.0, 0.0, 4.0, 16.0, 0.0, 13.0, 13.0, 0.0, 0.0, 0.0, 1.0, 11.0, 16.0, 15.0, 15.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 12.0, 0.0, 0.0, 0.0, 6.0, 4.0, 2.0, 9.0, 11.0, 0.0, 0.0, 0.0, 6.0, 13.0, 16.0, 16.0, 6.0, 0.0], [0.0, 0.0, 6.0, 16.0, 16.0, 8.0, 0.0, 0.0, 0.0, 2.0, 16.0, 8.0, 9.0, 16.0, 3.0, 0.0, 0.0, 8.0, 16.0, 1.0, 0.0, 9.0, 9.0, 0.0, 0.0, 9.0, 12.0, 0.0, 0.0, 8.0, 12.0, 0.0, 0.0, 10.0, 12.0, 0.0, 0.0, 8.0, 10.0, 0.0, 0.0, 8.0, 13.0, 0.0, 0.0, 9.0, 8.0, 0.0, 0.0, 2.0, 16.0, 8.0, 6.0, 15.0, 3.0, 0.0, 0.0, 0.0, 8.0, 16.0, 15.0, 8.0, 0.0, 0.0], [0.0, 0.0, 4.0, 12.0, 13.0, 3.0, 0.0, 0.0, 0.0, 0.0, 7.0, 14.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 16.0, 11.0, 0.0, 0.0], [0.0, 3.0, 15.0, 14.0, 5.0, 0.0, 0.0, 0.0, 0.0, 14.0, 14.0, 14.0, 15.0, 0.0, 0.0, 0.0, 0.0, 8.0, 1.0, 6.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 1.0, 14.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 2.0, 0.0, 1.0, 0.0, 0.0, 4.0, 16.0, 15.0, 8.0, 9.0, 15.0, 0.0, 0.0, 3.0, 16.0, 16.0, 16.0, 15.0, 5.0, 0.0], [0.0, 1.0, 12.0, 16.0, 13.0, 2.0, 0.0, 0.0, 0.0, 5.0, 14.0, 6.0, 13.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 15.0, 7.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 12.0, 16.0, 11.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 15.0, 7.0, 0.0, 0.0, 0.0, 6.0, 0.0, 4.0, 14.0, 7.0, 0.0, 0.0, 0.0, 16.0, 16.0, 15.0, 8.0, 1.0, 0.0], [0.0, 0.0, 0.0, 8.0, 15.0, 5.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 13.0, 1.0, 0.0, 0.0, 0.0, 0.0, 12.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 7.0, 9.0, 4.0, 0.0, 0.0, 0.0, 14.0, 16.0, 13.0, 16.0, 14.0, 3.0, 0.0, 0.0, 8.0, 14.0, 16.0, 16.0, 14.0, 2.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 14.0, 0.0, 0.0, 0.0], [0.0, 1.0, 8.0, 16.0, 16.0, 16.0, 10.0, 0.0, 0.0, 8.0, 16.0, 14.0, 8.0, 5.0, 1.0, 0.0, 0.0, 9.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 15.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 15.0, 4.0, 0.0, 0.0, 0.0, 0.0, 1.0, 3.0, 12.0, 4.0, 0.0, 0.0, 0.0, 0.0, 5.0, 14.0, 15.0, 4.0, 0.0, 0.0, 0.0, 0.0, 1.0, 13.0, 12.0, 0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 7.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 12.0, 4.0, 1.0, 0.0, 0.0, 0.0, 6.0, 16.0, 16.0, 16.0, 16.0, 5.0, 0.0, 0.0, 8.0, 16.0, 7.0, 1.0, 15.0, 8.0, 0.0, 0.0, 7.0, 16.0, 0.0, 0.0, 16.0, 4.0, 0.0, 0.0, 2.0, 16.0, 7.0, 10.0, 12.0, 0.0, 0.0, 0.0, 0.0, 4.0, 15.0, 13.0, 3.0, 0.0, 0.0], [0.0, 0.0, 7.0, 16.0, 16.0, 5.0, 0.0, 0.0, 0.0, 1.0, 15.0, 11.0, 14.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 8.0, 0.0, 0.0, 0.0, 0.0, 3.0, 8.0, 14.0, 12.0, 5.0, 0.0, 0.0, 0.0, 14.0, 16.0, 16.0, 10.0, 5.0, 0.0, 0.0, 0.0, 2.0, 8.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 15.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 14.0, 1.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 2.0, 15.0, 5.0, 0.0, 0.0, 0.0, 0.0, 2.0, 4.0, 10.0, 12.0, 0.0, 0.0, 0.0, 3.0, 15.0, 14.0, 10.0, 8.0, 0.0, 0.0, 0.0, 8.0, 15.0, 1.0, 11.0, 4.0, 0.0, 0.0, 0.0, 1.0, 8.0, 15.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 12.0, 1.0, 0.0, 0.0, 0.0, 0.0, 4.0, 14.0, 15.0, 4.0, 0.0, 0.0, 0.0, 0.0, 2.0, 14.0, 11.0, 0.0, 0.0], [0.0, 0.0, 1.0, 5.0, 12.0, 13.0, 0.0, 0.0, 0.0, 0.0, 11.0, 13.0, 15.0, 16.0, 1.0, 0.0, 0.0, 2.0, 14.0, 0.0, 10.0, 12.0, 4.0, 0.0, 0.0, 5.0, 13.0, 12.0, 3.0, 12.0, 0.0, 0.0, 0.0, 0.0, 5.0, 6.0, 0.0, 12.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 2.0, 0.0, 0.0, 0.0, 4.0, 5.0, 0.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 4.0, 14.0, 13.0, 0.0, 0.0], [0.0, 0.0, 2.0, 13.0, 15.0, 8.0, 0.0, 0.0, 0.0, 0.0, 10.0, 14.0, 10.0, 11.0, 8.0, 0.0, 0.0, 0.0, 16.0, 1.0, 0.0, 0.0, 9.0, 0.0, 0.0, 3.0, 13.0, 0.0, 0.0, 0.0, 8.0, 0.0, 0.0, 4.0, 12.0, 0.0, 0.0, 1.0, 8.0, 0.0, 0.0, 5.0, 12.0, 0.0, 0.0, 10.0, 0.0, 0.0, 0.0, 0.0, 15.0, 8.0, 7.0, 10.0, 0.0, 0.0, 0.0, 0.0, 4.0, 14.0, 14.0, 1.0, 0.0, 0.0], [0.0, 0.0, 1.0, 11.0, 15.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0, 2.0, 15.0, 15.0, 3.0, 0.0, 0.0], [0.0, 3.0, 16.0, 15.0, 6.0, 0.0, 0.0, 0.0, 0.0, 5.0, 14.0, 14.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 1.0, 14.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 8.0, 8.0, 10.0, 5.0, 0.0, 0.0, 4.0, 16.0, 16.0, 16.0, 14.0, 3.0, 0.0], [0.0, 2.0, 11.0, 14.0, 10.0, 1.0, 0.0, 0.0, 0.0, 6.0, 12.0, 8.0, 15.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 14.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 13.0, 8.0, 0.0, 0.0, 2.0, 5.0, 1.0, 2.0, 12.0, 7.0, 0.0, 0.0, 1.0, 12.0, 16.0, 16.0, 10.0, 0.0, 0.0], [0.0, 0.0, 0.0, 13.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 9.0, 0.0, 2.0, 0.0, 0.0, 0.0, 7.0, 15.0, 1.0, 5.0, 15.0, 1.0, 0.0, 0.0, 14.0, 10.0, 4.0, 11.0, 12.0, 3.0, 0.0, 2.0, 16.0, 16.0, 16.0, 16.0, 13.0, 2.0, 0.0, 0.0, 3.0, 4.0, 11.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 4.0, 0.0, 0.0, 0.0], [0.0, 2.0, 12.0, 13.0, 16.0, 16.0, 4.0, 0.0, 0.0, 11.0, 16.0, 13.0, 7.0, 4.0, 1.0, 0.0, 0.0, 13.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 15.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 7.0, 0.0, 0.0, 0.0, 0.0, 3.0, 5.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 3.0, 13.0, 15.0, 0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 11.0, 13.0, 5.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 13.0, 3.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 16.0, 13.0, 7.0, 0.0, 0.0, 0.0, 4.0, 16.0, 11.0, 8.0, 16.0, 2.0, 0.0, 0.0, 0.0, 15.0, 8.0, 0.0, 15.0, 6.0, 0.0, 0.0, 0.0, 9.0, 14.0, 4.0, 15.0, 4.0, 0.0, 0.0, 0.0, 1.0, 10.0, 16.0, 11.0, 1.0, 0.0], [0.0, 0.0, 8.0, 16.0, 16.0, 11.0, 0.0, 0.0, 0.0, 0.0, 4.0, 8.0, 13.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 8.0, 0.0, 0.0, 0.0, 0.0, 3.0, 12.0, 16.0, 8.0, 2.0, 0.0, 0.0, 0.0, 6.0, 16.0, 16.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 14.0, 8.0, 2.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 12.0, 0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 8.0, 14.0, 9.0, 0.0, 0.0, 0.0, 0.0, 9.0, 15.0, 16.0, 15.0, 0.0, 0.0, 0.0, 4.0, 15.0, 5.0, 8.0, 14.0, 0.0, 0.0, 0.0, 8.0, 14.0, 1.0, 14.0, 7.0, 0.0, 0.0, 0.0, 1.0, 15.0, 13.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 16.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 10.0, 15.0, 7.0, 0.0, 0.0, 0.0, 0.0, 2.0, 10.0, 16.0, 5.0, 0.0, 0.0], [0.0, 0.0, 2.0, 10.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 16.0, 14.0, 0.0, 0.0, 0.0, 0.0, 15.0, 10.0, 16.0, 16.0, 2.0, 0.0, 0.0, 0.0, 12.0, 16.0, 12.0, 13.0, 8.0, 0.0, 0.0, 0.0, 1.0, 7.0, 1.0, 10.0, 11.0, 0.0, 0.0, 5.0, 5.0, 0.0, 0.0, 8.0, 12.0, 0.0, 0.0, 3.0, 15.0, 10.0, 2.0, 11.0, 12.0, 0.0, 0.0, 0.0, 3.0, 10.0, 16.0, 16.0, 10.0, 0.0], [0.0, 0.0, 1.0, 13.0, 12.0, 5.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 4.0, 13.0, 2.0, 0.0, 0.0, 2.0, 16.0, 4.0, 0.0, 8.0, 5.0, 0.0, 0.0, 7.0, 12.0, 0.0, 0.0, 8.0, 8.0, 0.0, 0.0, 6.0, 12.0, 0.0, 0.0, 5.0, 8.0, 0.0, 0.0, 3.0, 16.0, 0.0, 0.0, 8.0, 7.0, 0.0, 0.0, 1.0, 15.0, 8.0, 6.0, 15.0, 3.0, 0.0, 0.0, 0.0, 2.0, 13.0, 15.0, 6.0, 0.0, 0.0], [0.0, 0.0, 2.0, 10.0, 10.0, 11.0, 0.0, 0.0, 0.0, 0.0, 10.0, 9.0, 9.0, 16.0, 0.0, 0.0, 0.0, 0.0, 14.0, 0.0, 6.0, 15.0, 0.0, 0.0, 0.0, 0.0, 11.0, 14.0, 9.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 3.0, 0.0, 0.0, 10.0, 9.0, 5.0, 0.0, 15.0, 1.0, 0.0, 0.0, 0.0, 2.0, 14.0, 16.0, 13.0, 0.0, 0.0], [0.0, 0.0, 13.0, 10.0, 8.0, 8.0, 7.0, 0.0, 0.0, 4.0, 16.0, 16.0, 16.0, 16.0, 15.0, 2.0, 0.0, 0.0, 10.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 15.0, 0.0, 0.0, 0.0, 0.0, 1.0, 6.0, 10.0, 12.0, 0.0, 0.0, 0.0, 0.0, 1.0, 13.0, 16.0, 5.0, 0.0, 0.0, 0.0], [0.0, 0.0, 6.0, 15.0, 16.0, 15.0, 11.0, 0.0, 0.0, 1.0, 15.0, 14.0, 8.0, 8.0, 7.0, 0.0, 0.0, 4.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 11.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 5.0, 0.0, 0.0, 0.0], [0.0, 0.0, 6.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 14.0, 11.0, 5.0, 0.0, 0.0, 0.0, 5.0, 16.0, 12.0, 11.0, 16.0, 6.0, 0.0, 0.0, 6.0, 16.0, 9.0, 2.0, 16.0, 9.0, 0.0, 0.0, 0.0, 13.0, 14.0, 8.0, 16.0, 8.0, 0.0, 0.0, 0.0, 4.0, 15.0, 16.0, 13.0, 2.0, 0.0], [0.0, 1.0, 12.0, 16.0, 16.0, 16.0, 12.0, 0.0, 0.0, 9.0, 16.0, 13.0, 6.0, 8.0, 5.0, 0.0, 0.0, 8.0, 16.0, 15.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 14.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 15.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 13.0, 2.0, 0.0, 0.0, 0.0], [0.0, 0.0, 2.0, 10.0, 15.0, 7.0, 0.0, 0.0, 0.0, 0.0, 14.0, 15.0, 7.0, 15.0, 2.0, 0.0, 0.0, 4.0, 16.0, 3.0, 0.0, 11.0, 4.0, 0.0, 0.0, 4.0, 14.0, 0.0, 0.0, 7.0, 8.0, 0.0, 0.0, 7.0, 12.0, 0.0, 0.0, 6.0, 7.0, 0.0, 0.0, 4.0, 16.0, 1.0, 0.0, 12.0, 4.0, 0.0, 0.0, 1.0, 14.0, 12.0, 10.0, 16.0, 1.0, 0.0, 0.0, 0.0, 1.0, 14.0, 13.0, 5.0, 0.0, 0.0], [0.0, 0.0, 3.0, 4.0, 10.0, 0.0, 0.0, 0.0, 0.0, 3.0, 15.0, 8.0, 14.0, 3.0, 0.0, 0.0, 0.0, 8.0, 7.0, 0.0, 10.0, 6.0, 0.0, 0.0, 0.0, 3.0, 11.0, 8.0, 15.0, 11.0, 0.0, 0.0, 0.0, 0.0, 1.0, 7.0, 3.0, 13.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 9.0, 0.0, 0.0, 0.0, 9.0, 6.0, 1.0, 0.0, 16.0, 0.0, 0.0, 0.0, 0.0, 3.0, 11.0, 16.0, 16.0, 3.0], [0.0, 0.0, 2.0, 12.0, 14.0, 8.0, 0.0, 0.0, 0.0, 0.0, 13.0, 13.0, 15.0, 12.0, 0.0, 0.0, 0.0, 5.0, 15.0, 2.0, 10.0, 6.0, 0.0, 0.0, 0.0, 2.0, 14.0, 13.0, 14.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 15.0, 13.0, 1.0, 0.0, 0.0, 0.0, 1.0, 15.0, 3.0, 14.0, 7.0, 0.0, 0.0, 0.0, 6.0, 13.0, 1.0, 16.0, 4.0, 0.0, 0.0, 0.0, 1.0, 12.0, 16.0, 11.0, 0.0, 0.0], [0.0, 0.0, 3.0, 14.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 13.0, 10.0, 6.0, 16.0, 7.0, 0.0, 0.0, 5.0, 16.0, 3.0, 2.0, 14.0, 6.0, 0.0, 0.0, 0.0, 10.0, 16.0, 16.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 4.0, 0.0, 0.0, 3.0, 11.0, 2.0, 5.0, 15.0, 0.0, 0.0, 0.0, 0.0, 4.0, 12.0, 16.0, 10.0, 0.0, 0.0], [0.0, 0.0, 2.0, 10.0, 14.0, 9.0, 0.0, 0.0, 0.0, 2.0, 14.0, 11.0, 12.0, 16.0, 0.0, 0.0, 0.0, 4.0, 16.0, 1.0, 0.0, 15.0, 0.0, 0.0, 0.0, 2.0, 13.0, 12.0, 7.0, 13.0, 0.0, 0.0, 0.0, 0.0, 1.0, 8.0, 16.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 14.0, 15.0, 4.0, 0.0, 0.0, 0.0, 0.0, 13.0, 7.0, 14.0, 4.0, 0.0, 0.0, 0.0, 0.0, 14.0, 15.0, 10.0, 0.0, 0.0], [0.0, 0.0, 0.0, 3.0, 15.0, 5.0, 0.0, 0.0, 0.0, 0.0, 1.0, 15.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 15.0, 2.0, 3.0, 0.0, 0.0, 0.0, 5.0, 16.0, 4.0, 6.0, 16.0, 1.0, 0.0, 0.0, 10.0, 15.0, 4.0, 9.0, 16.0, 2.0, 0.0, 0.0, 12.0, 16.0, 16.0, 16.0, 13.0, 2.0, 0.0, 0.0, 1.0, 4.0, 7.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 15.0, 0.0, 0.0, 0.0], [0.0, 0.0, 4.0, 10.0, 11.0, 4.0, 0.0, 0.0, 0.0, 1.0, 11.0, 16.0, 16.0, 14.0, 0.0, 0.0, 0.0, 4.0, 16.0, 16.0, 16.0, 12.0, 0.0, 0.0, 0.0, 4.0, 16.0, 16.0, 16.0, 7.0, 0.0, 0.0, 0.0, 4.0, 16.0, 16.0, 16.0, 8.0, 0.0, 0.0, 0.0, 4.0, 16.0, 16.0, 16.0, 7.0, 0.0, 0.0, 0.0, 3.0, 15.0, 16.0, 16.0, 12.0, 0.0, 0.0, 0.0, 0.0, 5.0, 12.0, 12.0, 12.0, 1.0, 0.0], [0.0, 0.0, 13.0, 16.0, 15.0, 2.0, 0.0, 0.0, 0.0, 5.0, 14.0, 5.0, 15.0, 7.0, 0.0, 0.0, 0.0, 0.0, 2.0, 0.0, 12.0, 7.0, 0.0, 0.0, 0.0, 0.0, 5.0, 9.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 16.0, 16.0, 10.0, 0.0, 0.0, 0.0, 2.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 7.0, 0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 3.0, 15.0, 16.0, 15.0, 1.0, 0.0, 0.0, 0.0, 9.0, 11.0, 9.0, 16.0, 3.0, 0.0, 0.0, 0.0, 1.0, 0.0, 3.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 14.0, 0.0, 0.0, 0.0, 0.0, 4.0, 15.0, 15.0, 16.0, 6.0, 0.0, 0.0, 0.0, 2.0, 12.0, 15.0, 7.0, 1.0, 0.0, 0.0, 0.0, 0.0, 13.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 14.0, 1.0, 0.0, 0.0, 0.0], [0.0, 1.0, 11.0, 16.0, 13.0, 4.0, 0.0, 0.0, 0.0, 1.0, 15.0, 7.0, 14.0, 14.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 15.0, 1.0, 0.0, 0.0, 0.0, 1.0, 10.0, 15.0, 6.0, 0.0, 0.0, 0.0, 0.0, 5.0, 15.0, 14.0, 7.0, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 5.0, 16.0, 3.0, 0.0, 0.0, 5.0, 11.0, 1.0, 1.0, 16.0, 4.0, 0.0, 0.0, 0.0, 10.0, 15.0, 16.0, 10.0, 1.0, 0.0], [0.0, 0.0, 9.0, 16.0, 16.0, 16.0, 10.0, 0.0, 0.0, 4.0, 16.0, 14.0, 8.0, 11.0, 11.0, 0.0, 0.0, 11.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 15.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 14.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 13.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 16.0, 7.0, 0.0, 0.0, 0.0], [0.0, 0.0, 5.0, 14.0, 12.0, 5.0, 0.0, 0.0, 0.0, 0.0, 13.0, 16.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 13.0, 16.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 16.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 13.0, 16.0, 8.0, 0.0, 0.0], [0.0, 0.0, 6.0, 15.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 16.0, 13.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 16.0, 16.0, 7.0, 0.0, 0.0, 1.0, 16.0, 8.0, 0.0, 11.0, 8.0, 0.0, 0.0, 7.0, 14.0, 1.0, 0.0, 10.0, 8.0, 0.0, 0.0, 8.0, 12.0, 0.0, 0.0, 13.0, 4.0, 0.0, 0.0, 5.0, 16.0, 8.0, 9.0, 13.0, 0.0, 0.0, 0.0, 0.0, 6.0, 12.0, 13.0, 5.0, 0.0, 0.0], [0.0, 0.0, 2.0, 13.0, 15.0, 7.0, 1.0, 0.0, 0.0, 0.0, 7.0, 16.0, 15.0, 16.0, 10.0, 0.0, 0.0, 0.0, 14.0, 16.0, 10.0, 10.0, 10.0, 0.0, 0.0, 2.0, 16.0, 3.0, 0.0, 8.0, 8.0, 0.0, 0.0, 5.0, 13.0, 0.0, 0.0, 9.0, 8.0, 0.0, 0.0, 6.0, 13.0, 0.0, 0.0, 12.0, 3.0, 0.0, 0.0, 2.0, 16.0, 6.0, 9.0, 10.0, 0.0, 0.0, 0.0, 0.0, 3.0, 14.0, 14.0, 1.0, 0.0, 0.0], [0.0, 0.0, 12.0, 16.0, 12.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 12.0, 16.0, 3.0, 0.0, 0.0, 0.0, 1.0, 8.0, 4.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 15.0, 8.0, 8.0, 2.0, 0.0, 0.0, 0.0, 12.0, 16.0, 16.0, 12.0, 1.0, 0.0], [0.0, 3.0, 15.0, 15.0, 2.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 1.0, 9.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 15.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 13.0, 15.0, 15.0, 5.0, 0.0, 0.0, 4.0, 16.0, 16.0, 16.0, 13.0, 3.0, 0.0], [0.0, 0.0, 10.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 1.0, 10.0, 14.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 11.0, 13.0, 3.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 16.0, 16.0, 7.0, 0.0, 0.0, 0.0, 3.0, 16.0, 4.0, 5.0, 1.0, 0.0, 0.0, 0.0, 7.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 6.0, 0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 9.0, 13.0, 10.0, 1.0, 0.0, 0.0, 0.0, 9.0, 12.0, 4.0, 15.0, 5.0, 0.0, 0.0, 0.0, 16.0, 4.0, 0.0, 12.0, 4.0, 0.0, 0.0, 3.0, 15.0, 9.0, 3.0, 14.0, 1.0, 0.0, 0.0, 0.0, 2.0, 9.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 14.0, 15.0, 2.0, 0.0, 0.0, 0.0, 0.0, 10.0, 8.0, 14.0, 3.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 12.0, 0.0, 0.0], [0.0, 3.0, 15.0, 16.0, 14.0, 1.0, 0.0, 0.0, 0.0, 2.0, 12.0, 13.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 1.0, 15.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 2.0, 15.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 11.0, 8.0, 11.0, 3.0, 0.0, 0.0, 3.0, 16.0, 16.0, 16.0, 12.0, 3.0, 0.0], [0.0, 0.0, 7.0, 15.0, 14.0, 8.0, 0.0, 0.0, 0.0, 1.0, 15.0, 7.0, 5.0, 14.0, 5.0, 0.0, 0.0, 0.0, 15.0, 8.0, 0.0, 10.0, 7.0, 0.0, 0.0, 3.0, 16.0, 6.0, 0.0, 12.0, 8.0, 0.0, 0.0, 5.0, 16.0, 2.0, 0.0, 12.0, 8.0, 0.0, 0.0, 4.0, 16.0, 3.0, 1.0, 16.0, 4.0, 0.0, 0.0, 5.0, 16.0, 10.0, 14.0, 12.0, 0.0, 0.0, 0.0, 0.0, 8.0, 15.0, 15.0, 2.0, 0.0, 0.0], [0.0, 0.0, 14.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 3.0, 10.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 14.0, 16.0, 11.0, 6.0, 0.0, 0.0, 0.0, 12.0, 16.0, 16.0, 16.0, 16.0, 9.0], [0.0, 1.0, 12.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 7.0, 15.0, 14.0, 11.0, 0.0, 0.0, 0.0, 0.0, 8.0, 13.0, 10.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 12.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 8.0, 4.0, 0.0, 0.0, 0.0, 0.0, 13.0, 16.0, 16.0, 16.0, 9.0, 0.0, 0.0, 2.0, 16.0, 13.0, 11.0, 9.0, 3.0, 0.0], [0.0, 0.0, 0.0, 13.0, 13.0, 3.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 16.0, 14.0, 8.0, 1.0, 0.0, 0.0, 4.0, 16.0, 16.0, 6.0, 16.0, 9.0, 0.0, 0.0, 0.0, 8.0, 16.0, 11.0, 16.0, 10.0, 0.0, 0.0, 0.0, 1.0, 14.0, 16.0, 13.0, 1.0, 0.0], [0.0, 1.0, 8.0, 14.0, 15.0, 2.0, 0.0, 0.0, 0.0, 2.0, 13.0, 9.0, 14.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 9.0, 0.0, 0.0, 0.0, 0.0, 2.0, 13.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 15.0, 16.0, 6.0, 0.0, 0.0, 0.0, 1.0, 1.0, 0.0, 12.0, 14.0, 0.0, 0.0, 0.0, 5.0, 13.0, 5.0, 6.0, 16.0, 1.0, 0.0, 0.0, 1.0, 9.0, 12.0, 13.0, 9.0, 0.0, 0.0], [0.0, 0.0, 15.0, 16.0, 13.0, 6.0, 0.0, 0.0, 0.0, 0.0, 12.0, 12.0, 14.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 9.0, 0.0, 0.0, 0.0, 0.0, 1.0, 11.0, 15.0, 2.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 16.0, 12.0, 1.0, 0.0, 0.0, 1.0, 8.0, 4.0, 9.0, 16.0, 3.0, 0.0, 0.0, 5.0, 14.0, 7.0, 10.0, 15.0, 1.0, 0.0, 0.0, 2.0, 12.0, 16.0, 14.0, 6.0, 0.0, 0.0], [0.0, 0.0, 10.0, 16.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 5.0, 8.0, 13.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 13.0, 12.0, 0.0, 0.0, 0.0, 0.0, 2.0, 15.0, 16.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 13.0, 13.0, 5.0, 1.0, 0.0, 0.0, 0.0, 1.0, 14.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 13.0, 1.0, 0.0, 0.0, 0.0], [0.0, 0.0, 7.0, 16.0, 16.0, 16.0, 10.0, 0.0, 0.0, 0.0, 10.0, 10.0, 5.0, 12.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 7.0, 15.0, 6.0, 0.0, 0.0, 0.0, 1.0, 13.0, 16.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 12.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 6.0, 0.0, 0.0, 0.0, 2.0, 9.0, 11.0, 14.0, 1.0, 0.0, 0.0, 0.0, 5.0, 16.0, 15.0, 5.0, 0.0, 0.0], [0.0, 0.0, 8.0, 16.0, 16.0, 16.0, 3.0, 0.0, 0.0, 0.0, 6.0, 8.0, 8.0, 15.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 5.0, 0.0, 0.0, 0.0, 1.0, 10.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 16.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 13.0, 16.0, 5.0, 0.0, 0.0, 0.0, 7.0, 8.0, 11.0, 16.0, 2.0, 0.0, 0.0, 0.0, 6.0, 16.0, 16.0, 11.0, 0.0, 0.0], [0.0, 0.0, 0.0, 8.0, 15.0, 2.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 13.0, 6.0, 11.0, 0.0, 0.0, 0.0, 6.0, 16.0, 3.0, 13.0, 13.0, 2.0, 0.0, 0.0, 14.0, 16.0, 8.0, 15.0, 16.0, 10.0, 0.0, 0.0, 12.0, 16.0, 16.0, 16.0, 11.0, 1.0, 0.0, 0.0, 0.0, 1.0, 6.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 14.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 8.0, 13.0, 2.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 13.0, 3.0, 0.0, 0.0, 0.0, 1.0, 15.0, 14.0, 1.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 11.0, 4.0, 1.0, 0.0, 0.0, 0.0, 3.0, 16.0, 16.0, 14.0, 15.0, 2.0, 0.0, 0.0, 2.0, 16.0, 13.0, 1.0, 16.0, 9.0, 0.0, 0.0, 0.0, 9.0, 15.0, 9.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 13.0, 2.0, 0.0], [0.0, 0.0, 8.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 16.0, 9.0, 4.0, 0.0, 0.0, 0.0, 5.0, 16.0, 14.0, 11.0, 16.0, 5.0, 0.0, 0.0, 2.0, 16.0, 16.0, 0.0, 12.0, 8.0, 0.0, 0.0, 0.0, 15.0, 15.0, 1.0, 15.0, 6.0, 0.0, 0.0, 0.0, 7.0, 14.0, 16.0, 13.0, 1.0, 0.0], [0.0, 0.0, 1.0, 13.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 14.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 13.0, 8.0, 5.0, 0.0, 0.0, 0.0, 2.0, 15.0, 15.0, 12.0, 15.0, 5.0, 0.0, 0.0, 7.0, 16.0, 4.0, 0.0, 12.0, 8.0, 0.0, 0.0, 2.0, 15.0, 7.0, 0.0, 12.0, 6.0, 0.0, 0.0, 0.0, 5.0, 15.0, 5.0, 15.0, 5.0, 0.0, 0.0, 0.0, 0.0, 13.0, 16.0, 9.0, 0.0, 0.0], [0.0, 0.0, 0.0, 10.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 1.0, 14.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 3.0, 11.0, 7.0, 0.0, 0.0, 0.0, 12.0, 16.0, 8.0, 16.0, 9.0, 1.0, 0.0, 0.0, 10.0, 16.0, 16.0, 16.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 11.0, 0.0, 0.0, 0.0], [0.0, 0.0, 1.0, 7.0, 13.0, 10.0, 0.0, 0.0, 0.0, 2.0, 13.0, 14.0, 14.0, 16.0, 4.0, 0.0, 0.0, 4.0, 16.0, 5.0, 12.0, 16.0, 2.0, 0.0, 0.0, 0.0, 6.0, 11.0, 12.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 8.0, 0.0, 0.0, 1.0, 1.0, 0.0, 0.0, 13.0, 11.0, 0.0, 0.0, 0.0, 12.0, 8.0, 4.0, 13.0, 8.0, 0.0, 0.0, 0.0, 0.0, 7.0, 15.0, 16.0, 10.0, 0.0], [0.0, 0.0, 5.0, 12.0, 10.0, 4.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 16.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 16.0, 16.0, 16.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 16.0, 13.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 16.0, 12.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 8.0, 12.0, 12.0, 4.0, 0.0, 0.0], [0.0, 0.0, 7.0, 13.0, 8.0, 6.0, 0.0, 0.0, 0.0, 0.0, 16.0, 15.0, 16.0, 14.0, 10.0, 0.0, 0.0, 4.0, 16.0, 13.0, 1.0, 0.0, 0.0, 0.0, 0.0, 1.0, 10.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 11.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 3.0, 0.0, 0.0, 0.0], [0.0, 0.0, 2.0, 16.0, 15.0, 5.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 14.0, 15.0, 0.0, 0.0, 0.0, 0.0, 15.0, 10.0, 0.0, 16.0, 7.0, 0.0, 0.0, 4.0, 16.0, 1.0, 0.0, 12.0, 5.0, 0.0, 0.0, 4.0, 15.0, 0.0, 0.0, 12.0, 5.0, 0.0, 0.0, 5.0, 16.0, 6.0, 0.0, 16.0, 0.0, 0.0, 0.0, 0.0, 14.0, 13.0, 8.0, 15.0, 0.0, 0.0, 0.0, 0.0, 3.0, 14.0, 16.0, 6.0, 0.0, 0.0], [0.0, 0.0, 7.0, 13.0, 4.0, 1.0, 0.0, 0.0, 0.0, 1.0, 15.0, 13.0, 15.0, 11.0, 0.0, 0.0, 0.0, 7.0, 16.0, 1.0, 13.0, 16.0, 4.0, 0.0, 0.0, 3.0, 16.0, 12.0, 16.0, 16.0, 7.0, 0.0, 0.0, 0.0, 4.0, 11.0, 5.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 5.0, 0.0, 0.0, 0.0, 12.0, 6.0, 9.0, 14.0, 1.0, 0.0, 0.0, 0.0, 6.0, 13.0, 16.0, 5.0, 0.0, 0.0], [0.0, 2.0, 13.0, 13.0, 11.0, 9.0, 0.0, 0.0, 0.0, 10.0, 16.0, 16.0, 16.0, 15.0, 10.0, 0.0, 0.0, 11.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 15.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 11.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 11.0, 11.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 15.0, 4.0, 0.0, 0.0, 0.0], [0.0, 5.0, 16.0, 15.0, 5.0, 0.0, 0.0, 0.0, 0.0, 2.0, 12.0, 15.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 14.0, 2.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 16.0, 11.0, 8.0, 8.0, 3.0, 0.0, 0.0, 6.0, 16.0, 16.0, 16.0, 16.0, 7.0, 0.0], [0.0, 0.0, 11.0, 14.0, 10.0, 1.0, 0.0, 0.0, 0.0, 0.0, 16.0, 15.0, 14.0, 13.0, 0.0, 0.0, 0.0, 1.0, 14.0, 8.0, 3.0, 16.0, 2.0, 0.0, 0.0, 0.0, 7.0, 16.0, 13.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 12.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 1.0, 14.0, 16.0, 12.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 15.0, 16.0, 0.0, 0.0, 0.0, 0.0, 7.0, 14.0, 15.0, 11.0, 0.0, 0.0], [0.0, 4.0, 16.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0, 6.0, 14.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 16.0, 12.0, 10.0, 5.0, 0.0, 0.0, 3.0, 16.0, 16.0, 16.0, 16.0, 8.0, 0.0], [0.0, 0.0, 4.0, 12.0, 14.0, 5.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 16.0, 16.0, 3.0, 0.0, 0.0, 3.0, 16.0, 14.0, 2.0, 16.0, 7.0, 0.0, 0.0, 8.0, 16.0, 7.0, 0.0, 16.0, 6.0, 0.0, 0.0, 4.0, 16.0, 4.0, 3.0, 16.0, 4.0, 0.0, 0.0, 4.0, 16.0, 5.0, 10.0, 14.0, 0.0, 0.0, 0.0, 0.0, 14.0, 16.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 4.0, 14.0, 14.0, 2.0, 0.0, 0.0], [0.0, 0.0, 9.0, 9.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 15.0, 14.0, 12.0, 0.0, 0.0, 0.0, 3.0, 10.0, 1.0, 0.0, 12.0, 5.0, 0.0, 0.0, 5.0, 8.0, 0.0, 0.0, 8.0, 6.0, 0.0, 0.0, 8.0, 8.0, 0.0, 0.0, 8.0, 8.0, 0.0, 0.0, 5.0, 8.0, 0.0, 0.0, 10.0, 6.0, 0.0, 0.0, 4.0, 13.0, 4.0, 6.0, 13.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 14.0, 3.0, 0.0, 0.0], [0.0, 1.0, 13.0, 13.0, 10.0, 0.0, 0.0, 0.0, 0.0, 1.0, 13.0, 16.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 16.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 16.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 16.0, 13.0, 1.0, 0.0, 0.0, 0.0, 0.0, 15.0, 16.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 16.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 14.0, 16.0, 15.0, 8.0, 1.0, 0.0], [0.0, 0.0, 2.0, 15.0, 15.0, 4.0, 0.0, 0.0, 0.0, 0.0, 11.0, 10.0, 14.0, 9.0, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 11.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 15.0, 4.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 16.0, 14.0, 6.0, 0.0, 0.0, 0.0, 0.0, 8.0, 13.0, 6.0, 1.0, 0.0, 0.0, 0.0, 0.0, 9.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 15.0, 2.0, 0.0, 0.0, 0.0], [0.0, 0.0, 2.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 16.0, 16.0, 14.0, 2.0, 0.0, 0.0, 8.0, 16.0, 7.0, 4.0, 16.0, 8.0, 0.0, 0.0, 1.0, 16.0, 9.0, 6.0, 16.0, 4.0, 0.0, 0.0, 0.0, 3.0, 12.0, 16.0, 12.0, 0.0, 0.0], [0.0, 0.0, 6.0, 12.0, 16.0, 10.0, 0.0, 0.0, 0.0, 4.0, 15.0, 8.0, 12.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 14.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 15.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 15.0, 5.0, 0.0, 0.0, 0.0, 1.0, 4.0, 5.0, 15.0, 8.0, 0.0, 0.0, 0.0, 5.0, 16.0, 14.0, 9.0, 1.0, 0.0], [0.0, 0.0, 9.0, 16.0, 16.0, 13.0, 1.0, 0.0, 0.0, 0.0, 12.0, 13.0, 14.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 14.0, 1.0, 0.0, 0.0, 0.0, 1.0, 10.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 2.0, 15.0, 16.0, 12.0, 7.0, 0.0, 0.0, 0.0, 0.0, 9.0, 14.0, 16.0, 16.0, 2.0, 0.0], [0.0, 0.0, 2.0, 14.0, 15.0, 4.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 16.0, 11.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 14.0, 16.0, 14.0, 2.0, 0.0, 0.0, 0.0, 4.0, 16.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 3.0, 15.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 15.0, 13.0, 2.0, 0.0, 0.0], [0.0, 0.0, 5.0, 16.0, 16.0, 16.0, 9.0, 0.0, 0.0, 0.0, 1.0, 6.0, 4.0, 12.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 9.0, 0.0, 0.0, 0.0, 4.0, 6.0, 11.0, 16.0, 1.0, 0.0, 0.0, 0.0, 15.0, 16.0, 16.0, 16.0, 9.0, 0.0, 0.0, 0.0, 2.0, 10.0, 11.0, 0.0, 1.0, 0.0, 0.0, 0.0, 2.0, 15.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 10.0, 0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 1.0, 15.0, 4.0, 0.0, 0.0, 0.0, 0.0, 1.0, 13.0, 14.0, 1.0, 0.0, 0.0, 0.0, 0.0, 9.0, 15.0, 5.0, 7.0, 7.0, 0.0, 0.0, 4.0, 16.0, 6.0, 1.0, 16.0, 8.0, 0.0, 0.0, 14.0, 15.0, 0.0, 6.0, 16.0, 2.0, 0.0, 0.0, 11.0, 16.0, 13.0, 14.0, 16.0, 4.0, 0.0, 0.0, 0.0, 5.0, 8.0, 15.0, 14.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 12.0, 0.0, 0.0], [0.0, 0.0, 2.0, 13.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 16.0, 16.0, 11.0, 0.0, 0.0, 0.0, 3.0, 16.0, 10.0, 3.0, 15.0, 8.0, 0.0, 0.0, 0.0, 16.0, 8.0, 0.0, 13.0, 10.0, 0.0, 0.0, 0.0, 12.0, 15.0, 1.0, 15.0, 9.0, 0.0, 0.0, 0.0, 2.0, 11.0, 16.0, 16.0, 2.0, 0.0], [0.0, 1.0, 11.0, 14.0, 9.0, 1.0, 0.0, 0.0, 0.0, 3.0, 16.0, 8.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 1.0, 14.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 14.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 4.0, 0.0, 0.0, 1.0, 3.0, 1.0, 8.0, 16.0, 4.0, 0.0, 0.0, 3.0, 10.0, 16.0, 16.0, 8.0, 0.0, 0.0], [0.0, 0.0, 0.0, 12.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 10.0, 0.0, 0.0, 0.0], [0.0, 0.0, 10.0, 16.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 9.0, 8.0, 13.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 15.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 13.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 4.0, 0.0, 0.0, 0.0, 7.0, 3.0, 5.0, 16.0, 2.0, 0.0, 0.0, 0.0, 11.0, 16.0, 16.0, 10.0, 0.0, 0.0], [0.0, 0.0, 1.0, 9.0, 13.0, 11.0, 0.0, 0.0, 0.0, 0.0, 10.0, 11.0, 12.0, 16.0, 1.0, 0.0, 0.0, 0.0, 15.0, 4.0, 12.0, 16.0, 1.0, 0.0, 0.0, 0.0, 12.0, 16.0, 11.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 14.0, 0.0, 0.0, 0.0, 4.0, 12.0, 8.0, 10.0, 11.0, 0.0, 0.0, 0.0, 0.0, 2.0, 9.0, 16.0, 6.0, 0.0, 0.0], [0.0, 0.0, 4.0, 16.0, 15.0, 7.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 2.0, 12.0, 16.0, 3.0, 0.0, 0.0], [0.0, 0.0, 6.0, 16.0, 15.0, 2.0, 0.0, 0.0, 0.0, 0.0, 7.0, 13.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 1.0, 10.0, 16.0, 6.0, 1.0, 0.0, 0.0, 0.0, 9.0, 16.0, 16.0, 16.0, 8.0, 0.0, 0.0, 0.0, 1.0, 16.0, 8.0, 4.0, 0.0, 0.0, 0.0, 0.0, 5.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 7.0, 0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 11.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 15.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 14.0, 8.0, 1.0, 0.0, 0.0, 0.0, 5.0, 16.0, 10.0, 10.0, 14.0, 1.0, 0.0, 0.0, 2.0, 15.0, 3.0, 0.0, 12.0, 7.0, 0.0, 0.0, 0.0, 10.0, 13.0, 1.0, 10.0, 11.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 15.0, 5.0, 0.0], [0.0, 0.0, 2.0, 13.0, 15.0, 1.0, 0.0, 0.0, 0.0, 1.0, 14.0, 13.0, 15.0, 4.0, 0.0, 0.0, 0.0, 5.0, 14.0, 2.0, 15.0, 0.0, 0.0, 0.0, 0.0, 6.0, 14.0, 8.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 12.0, 1.0, 0.0, 0.0, 0.0, 0.0, 1.0, 15.0, 10.0, 13.0, 1.0, 0.0, 0.0, 0.0, 4.0, 13.0, 4.0, 13.0, 6.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 14.0, 1.0, 0.0], [0.0, 0.0, 0.0, 6.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 10.0, 1.0, 2.0, 0.0, 0.0, 0.0, 6.0, 16.0, 4.0, 12.0, 10.0, 0.0, 0.0, 0.0, 14.0, 11.0, 0.0, 16.0, 8.0, 0.0, 0.0, 4.0, 16.0, 16.0, 16.0, 16.0, 10.0, 0.0, 0.0, 1.0, 11.0, 12.0, 12.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 4.0, 0.0, 0.0], [0.0, 0.0, 7.0, 15.0, 15.0, 2.0, 0.0, 0.0, 0.0, 0.0, 13.0, 6.0, 12.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 15.0, 12.0, 0.0, 0.0, 0.0, 3.0, 7.0, 0.0, 2.0, 15.0, 1.0, 0.0, 0.0, 2.0, 15.0, 6.0, 6.0, 16.0, 1.0, 0.0, 0.0, 0.0, 4.0, 15.0, 16.0, 7.0, 0.0, 0.0], [0.0, 0.0, 4.0, 14.0, 11.0, 3.0, 0.0, 0.0, 0.0, 0.0, 1.0, 15.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 1.0, 14.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 15.0, 14.0, 4.0, 0.0, 0.0], [0.0, 0.0, 0.0, 1.0, 13.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 14.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 12.0, 0.0, 12.0, 7.0, 0.0, 0.0, 0.0, 12.0, 14.0, 6.0, 16.0, 14.0, 1.0, 0.0, 0.0, 6.0, 16.0, 16.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 14.0, 0.0, 0.0, 0.0], [0.0, 0.0, 7.0, 13.0, 8.0, 4.0, 0.0, 0.0, 0.0, 1.0, 15.0, 11.0, 9.0, 15.0, 2.0, 0.0, 0.0, 4.0, 16.0, 6.0, 0.0, 8.0, 7.0, 0.0, 0.0, 4.0, 10.0, 0.0, 0.0, 7.0, 8.0, 0.0, 0.0, 4.0, 10.0, 0.0, 0.0, 8.0, 8.0, 0.0, 0.0, 5.0, 12.0, 0.0, 0.0, 12.0, 5.0, 0.0, 0.0, 3.0, 15.0, 5.0, 9.0, 14.0, 2.0, 0.0, 0.0, 0.0, 8.0, 14.0, 12.0, 3.0, 0.0, 0.0], [0.0, 0.0, 13.0, 15.0, 11.0, 12.0, 11.0, 0.0, 0.0, 4.0, 16.0, 15.0, 16.0, 13.0, 9.0, 1.0, 0.0, 3.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 14.0, 1.0, 0.0, 0.0, 0.0, 1.0, 1.0, 7.0, 16.0, 2.0, 0.0, 0.0, 0.0, 8.0, 12.0, 11.0, 16.0, 3.0, 0.0, 0.0, 0.0, 1.0, 13.0, 16.0, 12.0, 0.0, 0.0, 0.0], [0.0, 0.0, 6.0, 12.0, 13.0, 12.0, 0.0, 0.0, 0.0, 0.0, 14.0, 12.0, 7.0, 16.0, 1.0, 0.0, 0.0, 0.0, 6.0, 6.0, 14.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 11.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 14.0, 1.0, 0.0, 0.0, 0.0, 10.0, 8.0, 3.0, 16.0, 1.0, 0.0, 0.0, 0.0, 4.0, 14.0, 16.0, 12.0, 0.0, 0.0], [0.0, 0.0, 0.0, 7.0, 13.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 14.0, 2.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 1.0, 11.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 16.0, 15.0, 12.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 1.0, 13.0, 7.0, 0.0, 0.0, 0.0, 4.0, 16.0, 6.0, 15.0, 5.0, 0.0, 0.0, 0.0, 0.0, 6.0, 14.0, 14.0, 1.0, 0.0], [0.0, 0.0, 2.0, 14.0, 13.0, 8.0, 0.0, 0.0, 0.0, 0.0, 12.0, 13.0, 12.0, 13.0, 0.0, 0.0, 0.0, 0.0, 11.0, 6.0, 6.0, 16.0, 4.0, 0.0, 0.0, 0.0, 5.0, 16.0, 15.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 2.0, 4.0, 11.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 9.0, 0.0, 0.0, 2.0, 13.0, 7.0, 1.0, 11.0, 10.0, 0.0, 0.0, 0.0, 2.0, 10.0, 15.0, 16.0, 2.0, 0.0], [0.0, 0.0, 1.0, 12.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 15.0, 5.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 12.0, 8.0, 14.0, 14.0, 3.0, 0.0, 0.0, 4.0, 16.0, 16.0, 9.0, 12.0, 8.0, 0.0, 0.0, 0.0, 13.0, 8.0, 0.0, 11.0, 8.0, 0.0, 0.0, 0.0, 1.0, 14.0, 16.0, 11.0, 1.0, 0.0], [0.0, 0.0, 1.0, 8.0, 10.0, 8.0, 3.0, 0.0, 0.0, 0.0, 1.0, 16.0, 16.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 14.0, 16.0, 16.0, 3.0, 0.0, 0.0, 0.0, 1.0, 16.0, 16.0, 15.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 15.0, 4.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 8.0, 8.0, 1.0, 0.0, 0.0], [0.0, 0.0, 12.0, 16.0, 14.0, 4.0, 0.0, 0.0, 0.0, 0.0, 8.0, 14.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 10.0, 0.0, 0.0, 0.0, 2.0, 15.0, 16.0, 16.0, 13.0, 3.0, 0.0, 0.0, 1.0, 8.0, 12.0, 15.0, 12.0, 4.0, 0.0, 0.0, 0.0, 2.0, 15.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 13.0, 0.0, 0.0, 0.0, 0.0], [0.0, 1.0, 15.0, 16.0, 16.0, 16.0, 5.0, 0.0, 0.0, 7.0, 16.0, 16.0, 12.0, 9.0, 1.0, 0.0, 0.0, 13.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 15.0, 11.0, 0.0, 0.0, 0.0, 0.0, 1.0, 4.0, 14.0, 12.0, 0.0, 0.0, 0.0, 0.0, 3.0, 15.0, 16.0, 6.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 8.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 15.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 10.0, 0.0, 1.0, 0.0, 0.0, 0.0, 4.0, 16.0, 4.0, 11.0, 11.0, 0.0, 0.0, 0.0, 11.0, 15.0, 2.0, 14.0, 10.0, 1.0, 0.0, 0.0, 13.0, 16.0, 16.0, 16.0, 13.0, 1.0, 0.0, 0.0, 0.0, 4.0, 12.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 9.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 5.0, 15.0, 4.0, 0.0, 0.0, 0.0, 0.0, 1.0, 15.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 14.0, 2.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 7.0, 7.0, 10.0, 0.0, 0.0, 0.0, 12.0, 16.0, 16.0, 16.0, 12.0, 0.0, 0.0, 0.0, 11.0, 12.0, 14.0, 16.0, 14.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 6.0, 0.0, 0.0], [0.0, 0.0, 5.0, 16.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 6.0, 9.0, 13.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 12.0, 0.0, 0.0, 0.0, 0.0, 1.0, 6.0, 13.0, 8.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 16.0, 15.0, 6.0, 0.0, 0.0, 0.0, 1.0, 11.0, 14.0, 8.0, 2.0, 0.0, 0.0, 0.0, 0.0, 13.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 2.0, 0.0, 0.0, 0.0], [0.0, 5.0, 16.0, 12.0, 1.0, 0.0, 0.0, 0.0, 0.0, 5.0, 14.0, 15.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 2.0, 14.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 9.0, 8.0, 8.0, 3.0, 0.0, 0.0, 8.0, 16.0, 16.0, 16.0, 16.0, 4.0, 0.0], [0.0, 0.0, 1.0, 8.0, 14.0, 14.0, 2.0, 0.0, 0.0, 1.0, 13.0, 16.0, 16.0, 16.0, 5.0, 0.0, 0.0, 7.0, 16.0, 10.0, 10.0, 16.0, 4.0, 0.0, 0.0, 3.0, 16.0, 14.0, 15.0, 12.0, 0.0, 0.0, 0.0, 0.0, 3.0, 12.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 15.0, 16.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 12.0, 2.0, 0.0], [0.0, 0.0, 4.0, 12.0, 16.0, 16.0, 4.0, 0.0, 0.0, 0.0, 9.0, 7.0, 4.0, 14.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 1.0, 13.0, 6.0, 0.0, 0.0, 0.0, 0.0, 1.0, 12.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 9.0, 5.0, 0.0, 0.0, 0.0, 0.0, 3.0, 12.0, 13.0, 9.0, 0.0, 0.0], [0.0, 0.0, 10.0, 15.0, 13.0, 1.0, 0.0, 0.0, 0.0, 4.0, 16.0, 7.0, 13.0, 7.0, 0.0, 0.0, 0.0, 2.0, 11.0, 0.0, 12.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 15.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 7.0, 7.0, 13.0, 3.0, 0.0, 0.0, 0.0, 10.0, 16.0, 12.0, 3.0, 0.0, 0.0], [0.0, 1.0, 13.0, 16.0, 16.0, 16.0, 12.0, 1.0, 0.0, 6.0, 16.0, 14.0, 12.0, 11.0, 5.0, 0.0, 0.0, 2.0, 15.0, 15.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 14.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 7.0, 10.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 15.0, 16.0, 10.0, 0.0, 0.0, 0.0], [0.0, 0.0, 6.0, 16.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 13.0, 12.0, 15.0, 10.0, 0.0, 0.0, 0.0, 0.0, 3.0, 6.0, 13.0, 9.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 16.0, 15.0, 6.0, 0.0, 0.0, 0.0, 1.0, 9.0, 14.0, 8.0, 5.0, 0.0, 0.0, 0.0, 0.0, 11.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 10.0, 0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 2.0, 10.0, 13.0, 12.0, 3.0, 0.0, 0.0, 0.0, 11.0, 13.0, 8.0, 16.0, 7.0, 0.0, 0.0, 0.0, 12.0, 9.0, 9.0, 16.0, 8.0, 0.0, 0.0, 0.0, 6.0, 10.0, 13.0, 14.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 8.0, 0.0, 0.0, 8.0, 1.0, 0.0, 0.0, 15.0, 2.0, 0.0, 0.0, 4.0, 14.0, 9.0, 4.0, 16.0, 0.0, 0.0, 0.0, 0.0, 2.0, 12.0, 16.0, 14.0, 0.0, 0.0], [0.0, 1.0, 12.0, 12.0, 15.0, 16.0, 7.0, 0.0, 0.0, 7.0, 16.0, 16.0, 13.0, 6.0, 1.0, 0.0, 0.0, 12.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 14.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 8.0, 0.0, 0.0, 0.0, 0.0, 5.0, 7.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 3.0, 15.0, 16.0, 5.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 9.0, 14.0, 1.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 14.0, 1.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 4.0, 2.0, 1.0, 0.0, 0.0, 0.0, 12.0, 13.0, 1.0, 14.0, 8.0, 1.0, 0.0, 1.0, 16.0, 16.0, 16.0, 16.0, 15.0, 3.0, 0.0, 0.0, 5.0, 8.0, 11.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 3.0, 0.0, 0.0], [0.0, 0.0, 1.0, 11.0, 14.0, 15.0, 3.0, 0.0, 0.0, 1.0, 13.0, 16.0, 12.0, 16.0, 8.0, 0.0, 0.0, 8.0, 16.0, 4.0, 6.0, 16.0, 5.0, 0.0, 0.0, 5.0, 15.0, 11.0, 13.0, 14.0, 0.0, 0.0, 0.0, 0.0, 2.0, 12.0, 16.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 16.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 16.0, 16.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 11.0, 13.0, 12.0, 1.0, 0.0], [0.0, 0.0, 6.0, 14.0, 16.0, 5.0, 0.0, 0.0, 0.0, 2.0, 16.0, 16.0, 16.0, 7.0, 0.0, 0.0, 0.0, 2.0, 15.0, 16.0, 15.0, 2.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 15.0, 7.0, 0.0, 0.0, 0.0, 0.0, 14.0, 10.0, 6.0, 16.0, 3.0, 0.0, 0.0, 1.0, 16.0, 3.0, 0.0, 16.0, 7.0, 0.0, 0.0, 0.0, 10.0, 11.0, 11.0, 15.0, 3.0, 0.0, 0.0, 0.0, 3.0, 14.0, 16.0, 6.0, 0.0, 0.0], [0.0, 0.0, 0.0, 4.0, 15.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 13.0, 1.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 4.0, 15.0, 8.0, 0.0, 5.0, 0.0, 0.0, 0.0, 11.0, 14.0, 1.0, 6.0, 16.0, 5.0, 0.0, 1.0, 16.0, 14.0, 12.0, 16.0, 16.0, 3.0, 0.0, 0.0, 10.0, 12.0, 10.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 2.0, 0.0, 0.0], [0.0, 0.0, 1.0, 9.0, 15.0, 11.0, 3.0, 0.0, 0.0, 0.0, 12.0, 9.0, 1.0, 11.0, 6.0, 0.0, 0.0, 0.0, 13.0, 7.0, 6.0, 16.0, 8.0, 0.0, 0.0, 0.0, 4.0, 10.0, 12.0, 15.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 6.0, 0.0, 0.0, 8.0, 7.0, 0.0, 0.0, 15.0, 5.0, 0.0, 0.0, 1.0, 12.0, 10.0, 4.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 13.0, 16.0, 8.0, 0.0, 0.0], [0.0, 0.0, 0.0, 14.0, 12.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 8.0, 14.0, 1.0, 0.0, 0.0, 0.0, 9.0, 11.0, 0.0, 13.0, 5.0, 0.0, 0.0, 2.0, 16.0, 8.0, 0.0, 8.0, 8.0, 0.0, 0.0, 5.0, 13.0, 0.0, 0.0, 8.0, 7.0, 0.0, 0.0, 6.0, 13.0, 0.0, 0.0, 11.0, 4.0, 0.0, 0.0, 0.0, 12.0, 10.0, 6.0, 14.0, 0.0, 0.0, 0.0, 0.0, 1.0, 11.0, 14.0, 7.0, 0.0, 0.0], [0.0, 0.0, 0.0, 10.0, 13.0, 5.0, 0.0, 0.0, 0.0, 3.0, 14.0, 16.0, 12.0, 15.0, 0.0, 0.0, 0.0, 10.0, 16.0, 8.0, 11.0, 16.0, 0.0, 0.0, 0.0, 8.0, 14.0, 5.0, 14.0, 9.0, 0.0, 0.0, 0.0, 0.0, 7.0, 14.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 14.0, 16.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 11.0, 0.0, 0.0], [0.0, 0.0, 4.0, 11.0, 12.0, 14.0, 0.0, 0.0, 0.0, 0.0, 15.0, 12.0, 14.0, 16.0, 4.0, 0.0, 0.0, 0.0, 16.0, 9.0, 16.0, 13.0, 3.0, 0.0, 0.0, 0.0, 5.0, 12.0, 11.0, 12.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 7.0, 0.0, 0.0, 6.0, 13.0, 4.0, 0.0, 14.0, 4.0, 0.0, 0.0, 0.0, 7.0, 13.0, 16.0, 14.0, 1.0, 0.0], [0.0, 0.0, 2.0, 8.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 15.0, 16.0, 2.0, 0.0, 0.0, 0.0, 6.0, 15.0, 11.0, 16.0, 4.0, 0.0, 0.0, 0.0, 5.0, 16.0, 10.0, 16.0, 1.0, 0.0, 0.0, 0.0, 2.0, 15.0, 16.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 12.0, 9.0, 3.0, 0.0, 0.0, 0.0, 4.0, 14.0, 0.0, 12.0, 14.0, 1.0, 0.0, 0.0, 1.0, 12.0, 10.0, 7.0, 0.0, 0.0], [0.0, 0.0, 10.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 11.0, 15.0, 6.0, 4.0, 1.0, 0.0, 0.0, 10.0, 16.0, 16.0, 16.0, 16.0, 10.0], [0.0, 1.0, 15.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 9.0, 16.0, 4.0, 0.0, 0.0, 0.0, 2.0, 12.0, 5.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 1.0, 15.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 13.0, 4.0, 4.0, 3.0, 0.0, 0.0, 2.0, 13.0, 16.0, 16.0, 16.0, 16.0, 2.0], [0.0, 0.0, 6.0, 13.0, 12.0, 2.0, 0.0, 0.0, 0.0, 0.0, 7.0, 7.0, 10.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 12.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 14.0, 1.0, 0.0, 0.0, 1.0, 7.0, 0.0, 0.0, 7.0, 11.0, 0.0, 0.0, 1.0, 16.0, 4.0, 0.0, 9.0, 11.0, 0.0, 0.0, 0.0, 5.0, 13.0, 12.0, 16.0, 3.0, 0.0], [0.0, 0.0, 0.0, 4.0, 15.0, 2.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 15.0, 1.0, 11.0, 9.0, 0.0, 0.0, 3.0, 14.0, 8.0, 0.0, 14.0, 10.0, 0.0, 0.0, 10.0, 16.0, 12.0, 12.0, 16.0, 8.0, 0.0, 0.0, 13.0, 16.0, 14.0, 15.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 9.0, 0.0, 0.0], [0.0, 0.0, 14.0, 12.0, 12.0, 13.0, 3.0, 0.0, 0.0, 0.0, 16.0, 8.0, 8.0, 6.0, 1.0, 0.0, 0.0, 0.0, 14.0, 7.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 15.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 13.0, 3.0, 6.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 13.0, 0.0, 0.0, 0.0, 0.0, 5.0, 4.0, 8.0, 12.0, 1.0, 0.0, 0.0, 1.0, 15.0, 15.0, 11.0, 3.0, 0.0, 0.0], [0.0, 0.0, 1.0, 10.0, 10.0, 0.0, 0.0, 0.0, 0.0, 1.0, 13.0, 10.0, 1.0, 0.0, 0.0, 0.0, 0.0, 4.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 11.0, 5.0, 10.0, 11.0, 1.0, 0.0, 0.0, 5.0, 16.0, 13.0, 6.0, 10.0, 8.0, 0.0, 0.0, 0.0, 10.0, 9.0, 0.0, 7.0, 11.0, 0.0, 0.0, 0.0, 1.0, 12.0, 16.0, 14.0, 2.0, 0.0], [0.0, 0.0, 3.0, 14.0, 8.0, 6.0, 4.0, 0.0, 0.0, 0.0, 11.0, 16.0, 16.0, 16.0, 15.0, 1.0, 0.0, 3.0, 16.0, 3.0, 2.0, 15.0, 6.0, 0.0, 0.0, 5.0, 8.0, 0.0, 9.0, 14.0, 0.0, 0.0, 0.0, 0.0, 7.0, 9.0, 15.0, 13.0, 4.0, 0.0, 0.0, 0.0, 10.0, 16.0, 16.0, 15.0, 3.0, 0.0, 0.0, 0.0, 0.0, 13.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 15.0, 2.0, 0.0, 0.0, 0.0], [0.0, 0.0, 7.0, 15.0, 14.0, 6.0, 0.0, 0.0, 0.0, 5.0, 16.0, 5.0, 10.0, 16.0, 4.0, 0.0, 0.0, 6.0, 15.0, 2.0, 10.0, 14.0, 1.0, 0.0, 0.0, 1.0, 13.0, 16.0, 14.0, 1.0, 0.0, 0.0, 0.0, 0.0, 10.0, 13.0, 15.0, 8.0, 0.0, 0.0, 0.0, 0.0, 15.0, 2.0, 3.0, 15.0, 6.0, 0.0, 0.0, 0.0, 15.0, 3.0, 8.0, 15.0, 6.0, 0.0, 0.0, 0.0, 6.0, 16.0, 11.0, 4.0, 0.0, 0.0], [0.0, 0.0, 7.0, 14.0, 9.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 5.0, 10.0, 7.0, 0.0, 0.0, 0.0, 0.0, 13.0, 2.0, 3.0, 13.0, 0.0, 0.0, 0.0, 0.0, 5.0, 15.0, 16.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 10.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 14.0, 0.0, 0.0, 0.0, 4.0, 2.0, 0.0, 0.0, 14.0, 3.0, 0.0, 0.0, 5.0, 15.0, 16.0, 16.0, 12.0, 1.0], [0.0, 0.0, 3.0, 13.0, 13.0, 3.0, 0.0, 0.0, 0.0, 0.0, 14.0, 8.0, 7.0, 15.0, 1.0, 0.0, 0.0, 3.0, 16.0, 0.0, 0.0, 9.0, 6.0, 0.0, 0.0, 6.0, 13.0, 0.0, 0.0, 4.0, 8.0, 0.0, 0.0, 4.0, 9.0, 0.0, 0.0, 4.0, 8.0, 0.0, 0.0, 1.0, 13.0, 0.0, 0.0, 5.0, 8.0, 0.0, 0.0, 0.0, 14.0, 7.0, 0.0, 11.0, 4.0, 0.0, 0.0, 0.0, 3.0, 15.0, 16.0, 14.0, 0.0, 0.0], [0.0, 0.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 5.0, 12.0, 16.0, 11.0, 8.0, 3.0, 0.0, 0.0, 12.0, 16.0, 16.0, 16.0, 16.0, 9.0], [0.0, 4.0, 16.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0, 8.0, 14.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 5.0, 8.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 15.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 3.0, 6.0, 9.0, 0.0, 0.0, 3.0, 15.0, 15.0, 8.0, 13.0, 15.0, 0.0, 0.0, 4.0, 15.0, 16.0, 16.0, 16.0, 7.0, 0.0], [0.0, 0.0, 9.0, 16.0, 10.0, 1.0, 0.0, 0.0, 0.0, 0.0, 8.0, 3.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 14.0, 2.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 15.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 15.0, 2.0, 0.0, 0.0, 4.0, 6.0, 0.0, 0.0, 13.0, 7.0, 0.0, 0.0, 6.0, 13.0, 1.0, 5.0, 16.0, 3.0, 0.0, 0.0, 0.0, 10.0, 16.0, 15.0, 5.0, 0.0, 0.0], [0.0, 0.0, 0.0, 2.0, 14.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 3.0, 9.0, 12.0, 0.0, 0.0, 1.0, 14.0, 8.0, 0.0, 15.0, 13.0, 0.0, 0.0, 11.0, 16.0, 10.0, 8.0, 16.0, 10.0, 0.0, 3.0, 16.0, 16.0, 16.0, 16.0, 15.0, 3.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 7.0, 0.0, 0.0], [0.0, 1.0, 12.0, 13.0, 13.0, 0.0, 0.0, 0.0, 0.0, 4.0, 11.0, 6.0, 3.0, 0.0, 0.0, 0.0, 0.0, 7.0, 11.0, 8.0, 6.0, 1.0, 0.0, 0.0, 0.0, 5.0, 15.0, 12.0, 13.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 8.0, 0.0, 0.0, 2.0, 10.0, 8.0, 7.0, 15.0, 3.0, 0.0, 0.0, 1.0, 13.0, 16.0, 12.0, 5.0, 0.0, 0.0], [0.0, 0.0, 1.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 12.0, 4.0, 11.0, 9.0, 1.0, 0.0, 0.0, 4.0, 16.0, 15.0, 8.0, 12.0, 7.0, 0.0, 0.0, 2.0, 14.0, 10.0, 3.0, 13.0, 7.0, 0.0, 0.0, 0.0, 2.0, 13.0, 16.0, 8.0, 1.0, 0.0], [0.0, 0.0, 6.0, 16.0, 16.0, 12.0, 3.0, 0.0, 0.0, 0.0, 13.0, 12.0, 10.0, 16.0, 2.0, 0.0, 0.0, 1.0, 16.0, 3.0, 10.0, 11.0, 0.0, 0.0, 0.0, 1.0, 7.0, 1.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 15.0, 4.0, 1.0, 0.0, 0.0, 0.0, 10.0, 16.0, 16.0, 16.0, 4.0, 0.0, 0.0, 0.0, 2.0, 16.0, 8.0, 3.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 3.0, 0.0, 0.0, 0.0], [0.0, 0.0, 7.0, 13.0, 11.0, 1.0, 0.0, 0.0, 0.0, 6.0, 14.0, 12.0, 14.0, 9.0, 0.0, 0.0, 0.0, 5.0, 14.0, 3.0, 10.0, 9.0, 0.0, 0.0, 0.0, 0.0, 8.0, 15.0, 14.0, 2.0, 0.0, 0.0, 0.0, 0.0, 1.0, 14.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 9.0, 9.0, 3.0, 15.0, 4.0, 0.0, 0.0, 0.0, 12.0, 5.0, 1.0, 11.0, 8.0, 0.0, 0.0, 0.0, 7.0, 16.0, 16.0, 9.0, 1.0, 0.0], [0.0, 0.0, 7.0, 14.0, 10.0, 0.0, 0.0, 0.0, 0.0, 7.0, 15.0, 4.0, 9.0, 11.0, 0.0, 0.0, 0.0, 9.0, 13.0, 0.0, 7.0, 16.0, 0.0, 0.0, 0.0, 3.0, 15.0, 16.0, 16.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 4.0, 4.0, 12.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 12.0, 0.0, 0.0, 0.0, 11.0, 5.0, 0.0, 7.0, 13.0, 0.0, 0.0, 0.0, 5.0, 13.0, 16.0, 14.0, 6.0, 0.0], [0.0, 0.0, 6.0, 14.0, 13.0, 3.0, 0.0, 0.0, 0.0, 0.0, 14.0, 10.0, 7.0, 13.0, 0.0, 0.0, 0.0, 4.0, 13.0, 0.0, 0.0, 12.0, 3.0, 0.0, 0.0, 5.0, 11.0, 0.0, 0.0, 7.0, 6.0, 0.0, 0.0, 4.0, 11.0, 0.0, 0.0, 4.0, 8.0, 0.0, 0.0, 2.0, 12.0, 0.0, 0.0, 6.0, 6.0, 0.0, 0.0, 0.0, 12.0, 8.0, 2.0, 14.0, 2.0, 0.0, 0.0, 0.0, 4.0, 15.0, 16.0, 9.0, 0.0, 0.0], [0.0, 0.0, 11.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 15.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 13.0, 15.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 3.0, 3.0, 15.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 10.0, 16.0, 6.0, 3.0, 0.0, 0.0, 0.0, 7.0, 16.0, 16.0, 16.0, 16.0, 5.0], [0.0, 2.0, 13.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 12.0, 15.0, 9.0, 16.0, 2.0, 0.0, 0.0, 0.0, 10.0, 8.0, 1.0, 16.0, 6.0, 0.0, 0.0, 0.0, 1.0, 1.0, 2.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 15.0, 2.0, 0.0, 0.0, 0.0, 0.0, 2.0, 15.0, 9.0, 0.0, 0.0, 0.0, 0.0, 2.0, 15.0, 16.0, 9.0, 8.0, 6.0, 0.0, 0.0, 1.0, 13.0, 16.0, 16.0, 16.0, 16.0, 3.0], [0.0, 2.0, 13.0, 16.0, 15.0, 1.0, 0.0, 0.0, 0.0, 7.0, 13.0, 10.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 1.0, 4.0, 10.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 9.0, 0.0, 0.0, 2.0, 12.0, 6.0, 6.0, 16.0, 6.0, 0.0, 0.0, 1.0, 15.0, 16.0, 16.0, 9.0, 1.0, 0.0], [0.0, 0.0, 0.0, 2.0, 15.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 15.0, 2.0, 5.0, 0.0, 0.0, 0.0, 5.0, 16.0, 6.0, 6.0, 16.0, 0.0, 0.0, 2.0, 16.0, 10.0, 4.0, 13.0, 13.0, 0.0, 0.0, 13.0, 16.0, 16.0, 16.0, 16.0, 10.0, 0.0, 0.0, 6.0, 4.0, 4.0, 11.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 7.0, 0.0, 0.0], [0.0, 0.0, 9.0, 12.0, 14.0, 2.0, 0.0, 0.0, 0.0, 0.0, 12.0, 6.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 1.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 16.0, 12.0, 0.0, 0.0, 0.0, 0.0, 4.0, 4.0, 0.0, 12.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 12.0, 0.0, 0.0, 0.0, 9.0, 7.0, 4.0, 10.0, 11.0, 0.0, 0.0, 0.0, 9.0, 14.0, 16.0, 14.0, 5.0, 0.0], [0.0, 0.0, 3.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 10.0, 11.0, 16.0, 14.0, 1.0, 0.0, 0.0, 2.0, 16.0, 10.0, 4.0, 7.0, 10.0, 0.0, 0.0, 0.0, 15.0, 8.0, 2.0, 12.0, 8.0, 0.0, 0.0, 0.0, 3.0, 12.0, 16.0, 8.0, 0.0, 0.0], [0.0, 0.0, 3.0, 14.0, 13.0, 12.0, 14.0, 0.0, 0.0, 0.0, 11.0, 14.0, 12.0, 15.0, 9.0, 0.0, 0.0, 0.0, 16.0, 5.0, 3.0, 16.0, 2.0, 0.0, 0.0, 1.0, 9.0, 1.0, 10.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 14.0, 6.0, 0.0, 0.0, 0.0, 4.0, 16.0, 16.0, 11.0, 1.0, 0.0, 0.0, 0.0, 0.0, 15.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 13.0, 0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 10.0, 14.0, 10.0, 1.0, 0.0, 0.0, 0.0, 4.0, 14.0, 6.0, 13.0, 7.0, 0.0, 0.0, 0.0, 6.0, 12.0, 0.0, 7.0, 7.0, 0.0, 0.0, 0.0, 1.0, 16.0, 10.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 15.0, 3.0, 0.0, 0.0, 0.0, 0.0, 13.0, 6.0, 6.0, 15.0, 5.0, 0.0, 0.0, 3.0, 15.0, 0.0, 4.0, 12.0, 7.0, 0.0, 0.0, 0.0, 12.0, 16.0, 15.0, 8.0, 0.0, 0.0], [0.0, 1.0, 10.0, 15.0, 15.0, 3.0, 0.0, 0.0, 0.0, 6.0, 13.0, 4.0, 10.0, 12.0, 0.0, 0.0, 0.0, 4.0, 11.0, 0.0, 7.0, 15.0, 0.0, 0.0, 0.0, 2.0, 14.0, 16.0, 16.0, 14.0, 2.0, 0.0, 0.0, 0.0, 1.0, 4.0, 3.0, 10.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 12.0, 0.0, 0.0, 0.0, 3.0, 3.0, 0.0, 2.0, 13.0, 0.0, 0.0, 0.0, 10.0, 16.0, 16.0, 16.0, 11.0, 0.0], [0.0, 0.0, 3.0, 15.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 8.0, 11.0, 5.0, 0.0, 0.0, 0.0, 3.0, 16.0, 3.0, 1.0, 14.0, 2.0, 0.0, 0.0, 5.0, 12.0, 0.0, 0.0, 12.0, 4.0, 0.0, 0.0, 2.0, 12.0, 0.0, 0.0, 6.0, 8.0, 0.0, 0.0, 2.0, 14.0, 0.0, 0.0, 12.0, 5.0, 0.0, 0.0, 0.0, 12.0, 8.0, 5.0, 15.0, 0.0, 0.0, 0.0, 0.0, 1.0, 13.0, 14.0, 5.0, 0.0, 0.0], [0.0, 0.0, 9.0, 15.0, 14.0, 8.0, 0.0, 0.0, 0.0, 6.0, 16.0, 4.0, 2.0, 16.0, 3.0, 0.0, 0.0, 5.0, 16.0, 5.0, 5.0, 16.0, 4.0, 0.0, 0.0, 0.0, 9.0, 16.0, 16.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 8.0, 0.0, 0.0, 2.0, 10.0, 2.0, 1.0, 12.0, 6.0, 0.0, 0.0, 1.0, 13.0, 14.0, 14.0, 11.0, 1.0, 0.0], [0.0, 1.0, 10.0, 12.0, 12.0, 11.0, 0.0, 0.0, 0.0, 7.0, 14.0, 8.0, 8.0, 6.0, 0.0, 0.0, 0.0, 7.0, 11.0, 7.0, 3.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 13.0, 13.0, 8.0, 0.0, 0.0, 0.0, 1.0, 3.0, 0.0, 1.0, 14.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 12.0, 0.0, 0.0, 0.0, 11.0, 3.0, 0.0, 10.0, 12.0, 0.0, 0.0, 0.0, 10.0, 16.0, 16.0, 14.0, 4.0, 0.0], [0.0, 0.0, 10.0, 12.0, 12.0, 15.0, 4.0, 0.0, 0.0, 0.0, 16.0, 8.0, 8.0, 5.0, 3.0, 0.0, 0.0, 4.0, 15.0, 8.0, 6.0, 0.0, 0.0, 0.0, 0.0, 6.0, 15.0, 12.0, 14.0, 8.0, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 2.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 3.0, 0.0, 0.0, 0.0, 11.0, 4.0, 8.0, 15.0, 3.0, 0.0, 0.0, 0.0, 10.0, 16.0, 15.0, 5.0, 0.0, 0.0], [0.0, 0.0, 1.0, 11.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 15.0, 5.0, 0.0, 0.0, 0.0, 0.0, 3.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 15.0, 15.0, 16.0, 14.0, 3.0, 0.0, 0.0, 2.0, 16.0, 11.0, 2.0, 7.0, 12.0, 0.0, 0.0, 0.0, 14.0, 11.0, 4.0, 9.0, 13.0, 0.0, 0.0, 0.0, 2.0, 11.0, 16.0, 15.0, 6.0, 0.0], [0.0, 3.0, 12.0, 12.0, 14.0, 4.0, 0.0, 0.0, 0.0, 1.0, 13.0, 4.0, 4.0, 0.0, 0.0, 0.0, 0.0, 4.0, 14.0, 4.0, 3.0, 0.0, 0.0, 0.0, 0.0, 5.0, 13.0, 12.0, 14.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 8.0, 0.0, 0.0, 0.0, 6.0, 2.0, 0.0, 8.0, 8.0, 0.0, 0.0, 2.0, 13.0, 16.0, 16.0, 16.0, 2.0, 0.0], [0.0, 0.0, 6.0, 14.0, 11.0, 1.0, 0.0, 0.0, 0.0, 0.0, 15.0, 5.0, 6.0, 15.0, 0.0, 0.0, 0.0, 4.0, 16.0, 0.0, 0.0, 9.0, 3.0, 0.0, 0.0, 8.0, 9.0, 0.0, 0.0, 4.0, 8.0, 0.0, 0.0, 7.0, 8.0, 0.0, 0.0, 4.0, 8.0, 0.0, 0.0, 4.0, 8.0, 0.0, 0.0, 9.0, 4.0, 0.0, 0.0, 1.0, 13.0, 2.0, 3.0, 14.0, 0.0, 0.0, 0.0, 0.0, 5.0, 14.0, 15.0, 4.0, 0.0, 0.0], [0.0, 0.0, 6.0, 14.0, 15.0, 7.0, 0.0, 0.0, 0.0, 3.0, 15.0, 6.0, 2.0, 14.0, 3.0, 0.0, 0.0, 4.0, 13.0, 0.0, 1.0, 16.0, 4.0, 0.0, 0.0, 0.0, 10.0, 11.0, 9.0, 16.0, 6.0, 0.0, 0.0, 0.0, 1.0, 8.0, 10.0, 14.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 11.0, 0.0, 0.0, 1.0, 12.0, 5.0, 0.0, 10.0, 11.0, 0.0, 0.0, 0.0, 7.0, 13.0, 16.0, 16.0, 4.0, 0.0], [0.0, 0.0, 7.0, 14.0, 15.0, 4.0, 0.0, 0.0, 0.0, 7.0, 15.0, 4.0, 9.0, 12.0, 0.0, 0.0, 0.0, 6.0, 15.0, 1.0, 4.0, 14.0, 0.0, 0.0, 0.0, 0.0, 9.0, 13.0, 14.0, 7.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 14.0, 7.0, 3.0, 15.0, 4.0, 0.0, 0.0, 0.0, 16.0, 3.0, 0.0, 13.0, 8.0, 0.0, 0.0, 0.0, 7.0, 16.0, 16.0, 10.0, 1.0, 0.0], [0.0, 0.0, 7.0, 13.0, 10.0, 1.0, 0.0, 0.0, 0.0, 1.0, 15.0, 3.0, 9.0, 10.0, 0.0, 0.0, 0.0, 3.0, 16.0, 4.0, 13.0, 11.0, 0.0, 0.0, 0.0, 0.0, 6.0, 12.0, 12.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 11.0, 0.0, 0.0, 1.0, 11.0, 2.0, 0.0, 7.0, 11.0, 0.0, 0.0, 0.0, 7.0, 13.0, 16.0, 15.0, 4.0, 0.0], [0.0, 0.0, 1.0, 11.0, 15.0, 6.0, 0.0, 0.0, 0.0, 2.0, 15.0, 10.0, 16.0, 15.0, 0.0, 0.0, 0.0, 1.0, 14.0, 5.0, 6.0, 11.0, 0.0, 0.0, 0.0, 0.0, 5.0, 14.0, 14.0, 3.0, 0.0, 0.0, 0.0, 0.0, 1.0, 14.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 10.0, 8.0, 6.0, 15.0, 1.0, 0.0, 0.0, 0.0, 9.0, 9.0, 4.0, 16.0, 3.0, 0.0, 0.0, 0.0, 1.0, 15.0, 15.0, 6.0, 0.0, 0.0], [0.0, 0.0, 0.0, 7.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 2.0, 0.0, 3.0, 1.0, 0.0, 0.0, 8.0, 10.0, 0.0, 2.0, 16.0, 2.0, 0.0, 1.0, 15.0, 4.0, 3.0, 9.0, 12.0, 0.0, 0.0, 8.0, 16.0, 16.0, 16.0, 16.0, 6.0, 0.0, 0.0, 1.0, 4.0, 3.0, 9.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 10.0, 0.0, 0.0, 0.0], [0.0, 0.0, 3.0, 15.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 13.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 4.0, 0.0, 0.0, 0.0, 3.0, 9.0, 13.0, 16.0, 12.0, 5.0, 0.0, 0.0, 3.0, 15.0, 16.0, 16.0, 16.0, 16.0], [0.0, 0.0, 7.0, 16.0, 14.0, 13.0, 10.0, 0.0, 0.0, 0.0, 10.0, 12.0, 10.0, 16.0, 4.0, 0.0, 0.0, 0.0, 15.0, 5.0, 8.0, 13.0, 0.0, 0.0, 0.0, 1.0, 7.0, 1.0, 16.0, 3.0, 0.0, 0.0, 0.0, 2.0, 11.0, 13.0, 16.0, 12.0, 6.0, 0.0, 0.0, 4.0, 12.0, 15.0, 14.0, 11.0, 2.0, 0.0, 0.0, 0.0, 3.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 13.0, 0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 15.0, 16.0, 16.0, 12.0, 4.0, 0.0, 0.0, 4.0, 14.0, 0.0, 10.0, 12.0, 0.0, 0.0, 0.0, 8.0, 7.0, 1.0, 15.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 12.0, 0.0, 0.0, 0.0, 0.0, 1.0, 8.0, 14.0, 12.0, 3.0, 0.0, 0.0, 0.0, 6.0, 13.0, 16.0, 13.0, 2.0, 0.0, 0.0, 0.0, 0.0, 10.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 2.0, 0.0, 0.0, 0.0], [0.0, 1.0, 10.0, 16.0, 15.0, 1.0, 0.0, 0.0, 0.0, 3.0, 15.0, 10.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 1.0, 11.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 16.0, 15.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 11.0, 15.0, 1.0, 0.0, 0.0, 8.0, 3.0, 0.0, 3.0, 16.0, 7.0, 0.0, 0.0, 13.0, 15.0, 6.0, 8.0, 16.0, 6.0, 0.0, 0.0, 0.0, 12.0, 16.0, 16.0, 7.0, 0.0, 0.0], [0.0, 3.0, 16.0, 16.0, 16.0, 2.0, 0.0, 0.0, 0.0, 4.0, 14.0, 10.0, 5.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 16.0, 10.0, 3.0, 0.0, 0.0, 0.0, 4.0, 15.0, 12.0, 14.0, 13.0, 0.0, 0.0, 0.0, 0.0, 2.0, 0.0, 1.0, 15.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 13.0, 0.0, 0.0, 3.0, 16.0, 10.0, 7.0, 9.0, 16.0, 0.0, 0.0, 3.0, 13.0, 15.0, 16.0, 16.0, 8.0, 0.0], [0.0, 0.0, 10.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 13.0, 1.0, 0.0, 0.0, 0.0, 0.0, 1.0, 5.0, 14.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 11.0, 0.0, 0.0, 0.0, 0.0, 8.0, 12.0, 9.0, 16.0, 6.0, 4.0, 0.0, 0.0, 7.0, 16.0, 16.0, 16.0, 16.0, 14.0], [0.0, 3.0, 15.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 12.0, 13.0, 11.0, 16.0, 0.0, 0.0, 0.0, 0.0, 12.0, 5.0, 4.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 0.0, 0.0, 0.0, 0.0, 1.0, 12.0, 16.0, 14.0, 8.0, 5.0, 0.0, 0.0, 2.0, 13.0, 16.0, 16.0, 16.0, 16.0, 2.0], [0.0, 0.0, 7.0, 16.0, 16.0, 16.0, 8.0, 0.0, 0.0, 0.0, 10.0, 12.0, 10.0, 16.0, 2.0, 0.0, 0.0, 0.0, 13.0, 6.0, 7.0, 13.0, 0.0, 0.0, 0.0, 0.0, 10.0, 1.0, 13.0, 5.0, 0.0, 0.0, 0.0, 0.0, 9.0, 10.0, 16.0, 8.0, 3.0, 0.0, 0.0, 1.0, 12.0, 15.0, 16.0, 16.0, 5.0, 0.0, 0.0, 0.0, 1.0, 16.0, 2.0, 3.0, 0.0, 0.0, 0.0, 0.0, 9.0, 14.0, 0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 7.0, 14.0, 12.0, 1.0, 0.0, 0.0, 0.0, 7.0, 14.0, 5.0, 8.0, 10.0, 0.0, 0.0, 0.0, 8.0, 11.0, 1.0, 7.0, 10.0, 0.0, 0.0, 0.0, 1.0, 9.0, 16.0, 15.0, 4.0, 0.0, 0.0, 0.0, 0.0, 1.0, 14.0, 14.0, 12.0, 0.0, 0.0, 0.0, 0.0, 7.0, 11.0, 0.0, 12.0, 7.0, 0.0, 0.0, 0.0, 11.0, 5.0, 0.0, 11.0, 8.0, 0.0, 0.0, 0.0, 4.0, 14.0, 16.0, 12.0, 1.0, 0.0], [0.0, 1.0, 13.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 12.0, 15.0, 3.0, 0.0, 0.0, 0.0, 0.0, 9.0, 6.0, 15.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 4.0, 1.0, 0.0, 0.0, 0.0, 9.0, 16.0, 16.0, 6.0, 16.0, 5.0, 0.0, 0.0, 8.0, 12.0, 13.0, 16.0, 16.0, 11.0], [0.0, 0.0, 3.0, 12.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 12.0, 11.0, 13.0, 0.0, 0.0, 0.0, 2.0, 15.0, 2.0, 0.0, 12.0, 5.0, 0.0, 0.0, 4.0, 8.0, 0.0, 0.0, 6.0, 8.0, 0.0, 0.0, 8.0, 7.0, 0.0, 0.0, 4.0, 8.0, 0.0, 0.0, 7.0, 7.0, 0.0, 0.0, 9.0, 7.0, 0.0, 0.0, 3.0, 13.0, 4.0, 7.0, 16.0, 2.0, 0.0, 0.0, 0.0, 6.0, 16.0, 15.0, 5.0, 0.0, 0.0], [0.0, 0.0, 8.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 6.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 7.0, 0.0, 0.0, 0.0, 0.0, 4.0, 8.0, 14.0, 14.0, 8.0, 4.0, 0.0, 0.0, 9.0, 16.0, 16.0, 16.0, 16.0, 13.0], [0.0, 0.0, 11.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 11.0, 15.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 5.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 2.0, 2.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 14.0, 7.0, 6.0, 0.0, 0.0, 0.0, 13.0, 14.0, 14.0, 16.0, 16.0, 6.0], [0.0, 0.0, 2.0, 12.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 10.0, 1.0, 0.0, 0.0, 0.0, 0.0, 4.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 9.0, 5.0, 11.0, 8.0, 0.0, 0.0, 0.0, 4.0, 16.0, 14.0, 6.0, 12.0, 5.0, 0.0, 0.0, 0.0, 13.0, 7.0, 0.0, 10.0, 8.0, 0.0, 0.0, 0.0, 3.0, 14.0, 16.0, 16.0, 5.0, 0.0], [0.0, 0.0, 8.0, 15.0, 11.0, 1.0, 0.0, 0.0, 0.0, 0.0, 10.0, 4.0, 10.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 13.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 8.0, 15.0, 1.0, 0.0, 0.0, 1.0, 1.0, 0.0, 0.0, 9.0, 7.0, 0.0, 0.0, 4.0, 13.0, 5.0, 3.0, 10.0, 8.0, 0.0, 0.0, 0.0, 7.0, 14.0, 16.0, 15.0, 2.0, 0.0], [0.0, 0.0, 8.0, 12.0, 13.0, 5.0, 0.0, 0.0, 0.0, 4.0, 13.0, 4.0, 9.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 13.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 15.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 15.0, 2.0, 0.0, 0.0, 7.0, 8.0, 0.0, 0.0, 12.0, 7.0, 0.0, 0.0, 8.0, 9.0, 1.0, 3.0, 16.0, 3.0, 0.0, 0.0, 0.0, 10.0, 16.0, 16.0, 6.0, 0.0, 0.0], [0.0, 0.0, 4.0, 15.0, 16.0, 16.0, 16.0, 1.0, 0.0, 0.0, 10.0, 13.0, 8.0, 15.0, 8.0, 0.0, 0.0, 0.0, 14.0, 5.0, 3.0, 16.0, 2.0, 0.0, 0.0, 0.0, 1.0, 0.0, 12.0, 11.0, 0.0, 0.0, 0.0, 0.0, 2.0, 5.0, 16.0, 9.0, 1.0, 0.0, 0.0, 0.0, 15.0, 16.0, 16.0, 14.0, 3.0, 0.0, 0.0, 0.0, 1.0, 15.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 14.0, 2.0, 0.0, 0.0, 0.0], [0.0, 0.0, 1.0, 14.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 2.0, 10.0, 5.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 7.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 14.0, 4.0, 0.0, 0.0, 0.0, 13.0, 0.0, 0.0, 4.0, 12.0, 0.0, 0.0, 0.0, 13.0, 6.0, 4.0, 8.0, 13.0, 0.0, 0.0, 0.0, 0.0, 12.0, 16.0, 15.0, 6.0, 0.0], [0.0, 0.0, 7.0, 16.0, 12.0, 1.0, 0.0, 0.0, 0.0, 0.0, 16.0, 11.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 3.0, 9.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 16.0, 15.0, 1.0, 0.0, 0.0, 0.0, 1.0, 2.0, 5.0, 14.0, 8.0, 0.0, 0.0, 5.0, 14.0, 0.0, 0.0, 9.0, 15.0, 0.0, 0.0, 4.0, 16.0, 7.0, 6.0, 13.0, 14.0, 0.0, 0.0, 0.0, 7.0, 16.0, 16.0, 16.0, 4.0, 0.0], [0.0, 0.0, 0.0, 0.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 8.0, 0.0, 8.0, 0.0, 0.0, 0.0, 4.0, 13.0, 2.0, 2.0, 14.0, 0.0, 0.0, 2.0, 14.0, 12.0, 7.0, 8.0, 10.0, 0.0, 0.0, 9.0, 16.0, 16.0, 16.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 8.0, 0.0, 0.0], [0.0, 0.0, 1.0, 9.0, 13.0, 1.0, 0.0, 0.0, 0.0, 1.0, 12.0, 14.0, 5.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 15.0, 0.0, 3.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 16.0, 16.0, 15.0, 3.0, 0.0, 0.0, 2.0, 16.0, 11.0, 1.0, 9.0, 11.0, 0.0, 0.0, 0.0, 11.0, 13.0, 6.0, 12.0, 11.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 15.0, 2.0, 0.0], [0.0, 0.0, 2.0, 14.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 15.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 12.0, 1.0, 4.0, 6.0, 0.0, 0.0, 0.0, 7.0, 16.0, 16.0, 15.0, 15.0, 8.0, 0.0, 0.0, 0.0, 16.0, 13.0, 0.0, 4.0, 12.0, 0.0, 0.0, 0.0, 10.0, 12.0, 4.0, 8.0, 15.0, 0.0, 0.0, 0.0, 2.0, 11.0, 16.0, 15.0, 5.0, 0.0], [0.0, 0.0, 1.0, 11.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 14.0, 12.0, 12.0, 7.0, 0.0, 0.0, 0.0, 0.0, 16.0, 12.0, 5.0, 11.0, 10.0, 0.0, 0.0, 0.0, 10.0, 11.0, 4.0, 10.0, 12.0, 0.0, 0.0, 0.0, 1.0, 12.0, 16.0, 12.0, 3.0, 0.0], [0.0, 0.0, 0.0, 3.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 13.0, 3.0, 8.0, 0.0, 0.0, 0.0, 1.0, 16.0, 5.0, 9.0, 16.0, 0.0, 0.0, 2.0, 12.0, 14.0, 5.0, 15.0, 9.0, 0.0, 0.0, 12.0, 16.0, 16.0, 16.0, 16.0, 7.0, 0.0, 0.0, 5.0, 5.0, 6.0, 14.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 13.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 4.0, 0.0, 0.0], [0.0, 0.0, 5.0, 15.0, 14.0, 3.0, 0.0, 0.0, 0.0, 2.0, 14.0, 7.0, 4.0, 13.0, 0.0, 0.0, 0.0, 2.0, 15.0, 5.0, 5.0, 16.0, 1.0, 0.0, 0.0, 0.0, 7.0, 15.0, 16.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 1.0, 3.0, 7.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 14.0, 0.0, 0.0, 0.0, 8.0, 9.0, 4.0, 2.0, 16.0, 1.0, 0.0, 0.0, 4.0, 11.0, 13.0, 16.0, 11.0, 0.0], [0.0, 0.0, 5.0, 15.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 2.0, 9.0, 14.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 13.0, 0.0, 0.0, 0.0, 0.0, 2.0, 10.0, 12.0, 16.0, 4.0, 4.0, 0.0, 0.0, 4.0, 15.0, 16.0, 16.0, 16.0, 16.0], [0.0, 0.0, 12.0, 12.0, 14.0, 15.0, 1.0, 0.0, 0.0, 1.0, 15.0, 11.0, 6.0, 5.0, 0.0, 0.0, 0.0, 6.0, 15.0, 12.0, 4.0, 0.0, 0.0, 0.0, 0.0, 6.0, 11.0, 8.0, 13.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 3.0, 0.0, 0.0, 2.0, 6.0, 1.0, 6.0, 14.0, 3.0, 0.0, 0.0, 1.0, 11.0, 16.0, 13.0, 8.0, 0.0, 0.0], [0.0, 0.0, 8.0, 14.0, 11.0, 2.0, 0.0, 0.0, 0.0, 6.0, 16.0, 7.0, 6.0, 13.0, 1.0, 0.0, 0.0, 8.0, 11.0, 0.0, 0.0, 10.0, 4.0, 0.0, 0.0, 7.0, 8.0, 0.0, 0.0, 5.0, 7.0, 0.0, 0.0, 8.0, 4.0, 0.0, 0.0, 7.0, 8.0, 0.0, 0.0, 2.0, 10.0, 0.0, 0.0, 7.0, 10.0, 0.0, 0.0, 0.0, 14.0, 3.0, 4.0, 15.0, 3.0, 0.0, 0.0, 0.0, 5.0, 16.0, 16.0, 7.0, 0.0, 0.0], [0.0, 0.0, 8.0, 16.0, 11.0, 1.0, 0.0, 0.0, 0.0, 0.0, 14.0, 2.0, 5.0, 9.0, 0.0, 0.0, 0.0, 0.0, 14.0, 1.0, 5.0, 12.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 16.0, 14.0, 1.0, 0.0, 0.0, 0.0, 0.0, 3.0, 7.0, 10.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 12.0, 0.0, 0.0, 0.0, 6.0, 1.0, 0.0, 2.0, 14.0, 0.0, 0.0, 0.0, 9.0, 16.0, 16.0, 16.0, 12.0, 0.0], [0.0, 0.0, 12.0, 9.0, 9.0, 8.0, 1.0, 0.0, 0.0, 2.0, 15.0, 8.0, 8.0, 8.0, 2.0, 0.0, 0.0, 8.0, 12.0, 8.0, 5.0, 0.0, 0.0, 0.0, 0.0, 8.0, 15.0, 9.0, 14.0, 9.0, 0.0, 0.0, 0.0, 2.0, 1.0, 0.0, 1.0, 14.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 11.0, 0.0, 0.0, 1.0, 8.0, 4.0, 5.0, 14.0, 9.0, 0.0, 0.0, 1.0, 11.0, 16.0, 12.0, 7.0, 0.0, 0.0], [0.0, 1.0, 14.0, 16.0, 12.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 9.0, 16.0, 6.0, 0.0, 0.0, 0.0, 3.0, 11.0, 0.0, 14.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 5.0, 0.0, 0.0, 0.0, 2.0, 15.0, 16.0, 14.0, 8.0, 12.0, 2.0, 0.0, 0.0, 11.0, 16.0, 16.0, 16.0, 15.0, 5.0], [0.0, 0.0, 5.0, 12.0, 16.0, 15.0, 2.0, 0.0, 0.0, 6.0, 15.0, 9.0, 10.0, 15.0, 4.0, 0.0, 0.0, 3.0, 14.0, 3.0, 1.0, 14.0, 4.0, 0.0, 0.0, 0.0, 10.0, 16.0, 15.0, 13.0, 1.0, 0.0, 0.0, 0.0, 6.0, 15.0, 15.0, 10.0, 0.0, 0.0, 0.0, 0.0, 15.0, 3.0, 2.0, 15.0, 3.0, 0.0, 0.0, 0.0, 16.0, 8.0, 1.0, 14.0, 4.0, 0.0, 0.0, 0.0, 4.0, 15.0, 16.0, 11.0, 2.0, 0.0], [0.0, 0.0, 13.0, 16.0, 11.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 11.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 14.0, 9.0, 15.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 15.0, 8.0, 11.0, 5.0, 0.0, 0.0, 9.0, 12.0, 13.0, 16.0, 16.0, 11.0], [0.0, 0.0, 10.0, 10.0, 12.0, 7.0, 0.0, 0.0, 0.0, 0.0, 15.0, 13.0, 5.0, 12.0, 5.0, 0.0, 0.0, 4.0, 13.0, 4.0, 0.0, 2.0, 8.0, 0.0, 0.0, 8.0, 4.0, 0.0, 0.0, 3.0, 8.0, 0.0, 0.0, 8.0, 4.0, 0.0, 0.0, 7.0, 5.0, 0.0, 0.0, 6.0, 6.0, 0.0, 0.0, 11.0, 2.0, 0.0, 0.0, 1.0, 13.0, 3.0, 3.0, 12.0, 0.0, 0.0, 0.0, 0.0, 7.0, 15.0, 16.0, 7.0, 0.0, 0.0], [0.0, 0.0, 10.0, 7.0, 3.0, 0.0, 0.0, 0.0, 0.0, 1.0, 15.0, 12.0, 14.0, 6.0, 0.0, 0.0, 0.0, 5.0, 12.0, 0.0, 2.0, 13.0, 0.0, 0.0, 0.0, 4.0, 12.0, 0.0, 0.0, 4.0, 7.0, 0.0, 0.0, 8.0, 5.0, 0.0, 0.0, 4.0, 8.0, 0.0, 0.0, 5.0, 8.0, 0.0, 0.0, 5.0, 10.0, 0.0, 0.0, 0.0, 14.0, 3.0, 4.0, 14.0, 6.0, 0.0, 0.0, 0.0, 7.0, 16.0, 16.0, 10.0, 0.0, 0.0], [0.0, 0.0, 8.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 9.0, 0.0, 0.0, 0.0, 0.0, 6.0, 12.0, 16.0, 15.0, 8.0, 5.0, 0.0, 0.0, 4.0, 15.0, 16.0, 16.0, 16.0, 16.0], [0.0, 0.0, 3.0, 16.0, 12.0, 12.0, 7.0, 0.0, 0.0, 0.0, 12.0, 13.0, 13.0, 16.0, 6.0, 0.0, 0.0, 0.0, 2.0, 0.0, 6.0, 14.0, 0.0, 0.0, 0.0, 0.0, 1.0, 4.0, 13.0, 10.0, 1.0, 0.0, 0.0, 0.0, 9.0, 16.0, 16.0, 16.0, 8.0, 0.0, 0.0, 0.0, 4.0, 12.0, 12.0, 7.0, 1.0, 0.0, 0.0, 0.0, 0.0, 14.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 2.0, 0.0, 0.0, 0.0], [0.0, 0.0, 1.0, 12.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 10.0, 2.0, 0.0, 0.0, 0.0, 0.0, 4.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 10.0, 11.0, 16.0, 14.0, 1.0, 0.0, 0.0, 2.0, 16.0, 10.0, 3.0, 7.0, 11.0, 0.0, 0.0, 0.0, 13.0, 8.0, 1.0, 8.0, 12.0, 0.0, 0.0, 0.0, 2.0, 12.0, 16.0, 15.0, 5.0, 0.0], [0.0, 0.0, 3.0, 15.0, 16.0, 12.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 6.0, 14.0, 6.0, 0.0, 0.0, 0.0, 0.0, 3.0, 1.0, 15.0, 6.0, 0.0, 0.0, 0.0, 0.0, 1.0, 14.0, 16.0, 3.0, 0.0, 0.0, 5.0, 8.0, 2.0, 13.0, 16.0, 3.0, 0.0, 0.0, 5.0, 16.0, 0.0, 0.0, 9.0, 13.0, 0.0, 0.0, 1.0, 15.0, 11.0, 8.0, 12.0, 16.0, 1.0, 0.0, 0.0, 3.0, 14.0, 16.0, 16.0, 9.0, 0.0], [0.0, 3.0, 15.0, 15.0, 3.0, 0.0, 0.0, 0.0, 0.0, 8.0, 14.0, 12.0, 10.0, 0.0, 0.0, 0.0, 0.0, 5.0, 11.0, 6.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 9.0, 0.0, 0.0, 0.0, 0.0, 1.0, 11.0, 16.0, 12.0, 8.0, 5.0, 0.0, 0.0, 5.0, 16.0, 16.0, 16.0, 16.0, 16.0, 0.0], [0.0, 0.0, 11.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 1.0, 15.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 13.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 11.0, 16.0, 9.0, 5.0, 1.0, 0.0, 0.0, 12.0, 16.0, 16.0, 16.0, 16.0, 12.0], [0.0, 0.0, 0.0, 4.0, 15.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 6.0, 0.0, 10.0, 1.0, 0.0, 0.0, 12.0, 12.0, 1.0, 7.0, 15.0, 1.0, 0.0, 5.0, 16.0, 3.0, 0.0, 14.0, 10.0, 0.0, 2.0, 16.0, 13.0, 8.0, 8.0, 16.0, 3.0, 0.0, 8.0, 16.0, 16.0, 16.0, 16.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 6.0, 0.0, 0.0], [0.0, 0.0, 0.0, 6.0, 14.0, 3.0, 0.0, 0.0, 0.0, 0.0, 5.0, 15.0, 7.0, 1.0, 0.0, 0.0, 0.0, 0.0, 10.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 16.0, 16.0, 11.0, 2.0, 0.0, 0.0, 2.0, 16.0, 13.0, 3.0, 8.0, 12.0, 0.0, 0.0, 0.0, 8.0, 15.0, 5.0, 4.0, 16.0, 2.0, 0.0, 0.0, 0.0, 4.0, 14.0, 16.0, 13.0, 0.0], [0.0, 0.0, 6.0, 14.0, 13.0, 3.0, 0.0, 0.0, 0.0, 0.0, 12.0, 2.0, 3.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 13.0, 1.0, 0.0, 0.0, 1.0, 7.0, 0.0, 0.0, 7.0, 11.0, 0.0, 0.0, 3.0, 13.0, 2.0, 0.0, 7.0, 13.0, 0.0, 0.0, 0.0, 5.0, 14.0, 14.0, 15.0, 6.0, 0.0], [0.0, 0.0, 10.0, 13.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 7.0, 11.0, 16.0, 14.0, 9.0, 4.0, 0.0, 0.0, 6.0, 15.0, 13.0, 14.0, 16.0, 15.0], [0.0, 0.0, 2.0, 15.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 3.0, 13.0, 11.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 13.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 11.0, 0.0, 0.0, 0.0, 3.0, 3.0, 1.0, 6.0, 15.0, 8.0, 0.0, 0.0, 11.0, 13.0, 0.0, 0.0, 10.0, 12.0, 0.0, 0.0, 3.0, 16.0, 12.0, 7.0, 16.0, 8.0, 0.0, 0.0, 0.0, 3.0, 15.0, 16.0, 10.0, 0.0, 0.0], [0.0, 0.0, 3.0, 13.0, 13.0, 3.0, 0.0, 0.0, 0.0, 0.0, 12.0, 7.0, 3.0, 13.0, 0.0, 0.0, 0.0, 0.0, 16.0, 0.0, 5.0, 12.0, 0.0, 0.0, 0.0, 0.0, 10.0, 13.0, 14.0, 16.0, 2.0, 0.0, 0.0, 0.0, 1.0, 7.0, 6.0, 13.0, 4.0, 0.0, 0.0, 1.0, 4.0, 0.0, 0.0, 5.0, 11.0, 0.0, 0.0, 2.0, 14.0, 6.0, 2.0, 9.0, 11.0, 0.0, 0.0, 0.0, 4.0, 10.0, 16.0, 16.0, 4.0, 0.0], [0.0, 0.0, 2.0, 13.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 15.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 9.0, 0.0, 0.0, 0.0, 0.0, 5.0, 12.0, 14.0, 16.0, 9.0, 2.0, 0.0, 0.0, 2.0, 12.0, 12.0, 12.0, 13.0, 8.0], [0.0, 0.0, 4.0, 15.0, 14.0, 12.0, 11.0, 0.0, 0.0, 0.0, 7.0, 15.0, 13.0, 16.0, 10.0, 0.0, 0.0, 0.0, 10.0, 7.0, 6.0, 16.0, 2.0, 0.0, 0.0, 0.0, 7.0, 1.0, 12.0, 12.0, 0.0, 0.0, 0.0, 0.0, 5.0, 8.0, 16.0, 12.0, 1.0, 0.0, 0.0, 4.0, 16.0, 16.0, 16.0, 14.0, 2.0, 0.0, 0.0, 0.0, 0.0, 15.0, 9.0, 1.0, 0.0, 0.0, 0.0, 0.0, 5.0, 15.0, 2.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 5.0, 12.0, 12.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 6.0, 1.0, 0.0, 0.0, 0.0, 0.0, 15.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 13.0, 2.0, 7.0, 4.0, 0.0, 0.0, 0.0, 7.0, 15.0, 16.0, 13.0, 15.0, 3.0, 0.0, 0.0, 3.0, 16.0, 9.0, 0.0, 1.0, 12.0, 0.0, 0.0, 0.0, 10.0, 12.0, 2.0, 6.0, 13.0, 0.0, 0.0, 0.0, 0.0, 8.0, 15.0, 16.0, 5.0, 0.0], [0.0, 0.0, 3.0, 11.0, 16.0, 15.0, 0.0, 0.0, 0.0, 0.0, 15.0, 16.0, 5.0, 13.0, 0.0, 0.0, 0.0, 2.0, 16.0, 9.0, 0.0, 12.0, 0.0, 0.0, 0.0, 1.0, 9.0, 15.0, 10.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 12.0, 1.0, 0.0, 0.0, 0.0, 2.0, 14.0, 2.0, 16.0, 5.0, 0.0, 0.0, 0.0, 8.0, 10.0, 1.0, 14.0, 4.0, 0.0, 0.0, 0.0, 3.0, 15.0, 16.0, 9.0, 0.0, 0.0], [0.0, 0.0, 0.0, 1.0, 15.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 13.0, 0.0, 9.0, 7.0, 0.0, 0.0, 2.0, 15.0, 4.0, 0.0, 15.0, 5.0, 0.0, 2.0, 13.0, 14.0, 11.0, 10.0, 15.0, 0.0, 0.0, 11.0, 15.0, 13.0, 16.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 6.0, 0.0, 0.0], [0.0, 0.0, 9.0, 15.0, 14.0, 2.0, 0.0, 0.0, 0.0, 0.0, 9.0, 3.0, 9.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 15.0, 2.0, 0.0, 0.0, 0.0, 0.0, 2.0, 10.0, 11.0, 15.0, 2.0, 0.0, 0.0, 3.0, 1.0, 0.0, 0.0, 14.0, 4.0, 0.0, 0.0, 10.0, 13.0, 7.0, 2.0, 12.0, 4.0, 0.0, 0.0, 0.0, 7.0, 14.0, 16.0, 10.0, 0.0, 0.0], [0.0, 0.0, 1.0, 14.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 14.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 12.0, 0.0, 0.0, 0.0, 0.0, 10.0, 14.0, 13.0, 16.0, 8.0, 3.0, 0.0, 0.0, 2.0, 11.0, 12.0, 15.0, 16.0, 15.0], [0.0, 0.0, 0.0, 1.0, 15.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 15.0, 0.0, 4.0, 0.0, 0.0, 0.0, 0.0, 13.0, 8.0, 1.0, 16.0, 3.0, 0.0, 0.0, 5.0, 15.0, 2.0, 5.0, 15.0, 0.0, 0.0, 5.0, 15.0, 16.0, 16.0, 16.0, 8.0, 0.0, 0.0, 14.0, 12.0, 12.0, 14.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 5.0, 0.0, 0.0], [0.0, 0.0, 6.0, 16.0, 12.0, 1.0, 0.0, 0.0, 0.0, 3.0, 16.0, 5.0, 9.0, 13.0, 0.0, 0.0, 0.0, 5.0, 12.0, 0.0, 0.0, 12.0, 6.0, 0.0, 0.0, 8.0, 14.0, 2.0, 0.0, 7.0, 8.0, 0.0, 0.0, 7.0, 12.0, 2.0, 0.0, 4.0, 8.0, 0.0, 0.0, 4.0, 12.0, 0.0, 0.0, 9.0, 7.0, 0.0, 0.0, 3.0, 16.0, 5.0, 7.0, 14.0, 2.0, 0.0, 0.0, 0.0, 7.0, 16.0, 13.0, 3.0, 0.0, 0.0], [0.0, 3.0, 10.0, 11.0, 12.0, 12.0, 6.0, 0.0, 0.0, 8.0, 14.0, 11.0, 8.0, 8.0, 4.0, 0.0, 0.0, 8.0, 10.0, 7.0, 3.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 14.0, 15.0, 4.0, 0.0, 0.0, 0.0, 2.0, 2.0, 0.0, 6.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 12.0, 0.0, 0.0, 0.0, 1.0, 8.0, 4.0, 10.0, 10.0, 0.0, 0.0, 0.0, 2.0, 15.0, 16.0, 13.0, 2.0, 0.0, 0.0], [0.0, 0.0, 14.0, 16.0, 15.0, 3.0, 0.0, 0.0, 0.0, 0.0, 6.0, 5.0, 13.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 10.0, 0.0, 0.0, 0.0, 1.0, 3.0, 0.0, 4.0, 15.0, 8.0, 0.0, 0.0, 6.0, 15.0, 0.0, 0.0, 9.0, 15.0, 0.0, 0.0, 5.0, 16.0, 5.0, 6.0, 14.0, 14.0, 0.0, 0.0, 1.0, 11.0, 16.0, 16.0, 14.0, 2.0, 0.0], [0.0, 0.0, 2.0, 14.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 16.0, 16.0, 13.0, 1.0, 0.0, 0.0, 2.0, 16.0, 8.0, 4.0, 7.0, 11.0, 0.0, 0.0, 0.0, 12.0, 11.0, 1.0, 8.0, 11.0, 0.0, 0.0, 0.0, 3.0, 12.0, 16.0, 15.0, 4.0, 0.0], [0.0, 1.0, 12.0, 16.0, 10.0, 1.0, 0.0, 0.0, 0.0, 8.0, 12.0, 3.0, 11.0, 8.0, 0.0, 0.0, 0.0, 12.0, 13.0, 6.0, 12.0, 8.0, 0.0, 0.0, 0.0, 3.0, 15.0, 16.0, 16.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 11.0, 0.0, 0.0, 0.0, 13.0, 0.0, 0.0, 5.0, 12.0, 0.0, 0.0, 0.0, 12.0, 16.0, 16.0, 16.0, 8.0, 0.0], [0.0, 0.0, 0.0, 12.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 14.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 14.0, 1.0, 4.0, 2.0, 0.0, 0.0, 0.0, 4.0, 16.0, 15.0, 12.0, 15.0, 5.0, 0.0, 0.0, 3.0, 16.0, 6.0, 0.0, 5.0, 11.0, 0.0, 0.0, 0.0, 9.0, 11.0, 4.0, 13.0, 5.0, 0.0, 0.0, 0.0, 1.0, 11.0, 16.0, 9.0, 0.0, 0.0], [0.0, 0.0, 11.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 16.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 7.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 14.0, 6.0, 0.0, 0.0, 0.0, 0.0, 6.0, 10.0, 15.0, 13.0, 8.0, 3.0, 0.0, 0.0, 8.0, 16.0, 16.0, 16.0, 16.0, 12.0], [0.0, 0.0, 4.0, 15.0, 16.0, 13.0, 13.0, 10.0, 0.0, 0.0, 12.0, 13.0, 10.0, 15.0, 14.0, 2.0, 0.0, 2.0, 16.0, 6.0, 2.0, 14.0, 6.0, 0.0, 0.0, 1.0, 5.0, 0.0, 9.0, 11.0, 0.0, 0.0, 0.0, 0.0, 7.0, 12.0, 16.0, 14.0, 6.0, 0.0, 0.0, 0.0, 8.0, 15.0, 15.0, 11.0, 2.0, 0.0, 0.0, 0.0, 2.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 15.0, 4.0, 0.0, 0.0, 0.0], [0.0, 0.0, 9.0, 12.0, 12.0, 12.0, 6.0, 0.0, 0.0, 1.0, 14.0, 6.0, 4.0, 4.0, 2.0, 0.0, 0.0, 4.0, 15.0, 12.0, 9.0, 1.0, 0.0, 0.0, 0.0, 4.0, 15.0, 8.0, 11.0, 11.0, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 0.0, 14.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 8.0, 0.0, 0.0, 0.0, 10.0, 1.0, 0.0, 8.0, 8.0, 0.0, 0.0, 0.0, 9.0, 16.0, 16.0, 15.0, 4.0, 0.0], [0.0, 0.0, 0.0, 6.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 15.0, 3.0, 6.0, 15.0, 0.0, 0.0, 1.0, 14.0, 11.0, 0.0, 13.0, 13.0, 0.0, 0.0, 10.0, 16.0, 13.0, 12.0, 16.0, 5.0, 0.0, 0.0, 11.0, 12.0, 12.0, 16.0, 14.0, 2.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 3.0, 0.0, 0.0], [0.0, 0.0, 0.0, 9.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 8.0, 0.0, 7.0, 1.0, 0.0, 0.0, 10.0, 13.0, 1.0, 6.0, 16.0, 5.0, 0.0, 6.0, 16.0, 11.0, 8.0, 14.0, 15.0, 0.0, 0.0, 13.0, 16.0, 16.0, 16.0, 16.0, 9.0, 0.0, 0.0, 2.0, 2.0, 0.0, 11.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 15.0, 2.0, 0.0, 0.0], [0.0, 0.0, 6.0, 16.0, 16.0, 16.0, 12.0, 0.0, 0.0, 0.0, 13.0, 10.0, 8.0, 16.0, 5.0, 0.0, 0.0, 1.0, 15.0, 1.0, 9.0, 12.0, 0.0, 0.0, 0.0, 0.0, 4.0, 0.0, 13.0, 7.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 16.0, 16.0, 9.0, 0.0, 0.0, 0.0, 7.0, 14.0, 12.0, 8.0, 3.0, 0.0, 0.0, 0.0, 3.0, 15.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 15.0, 0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 8.0, 12.0, 5.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 8.0, 12.0, 1.0, 0.0, 0.0, 0.0, 0.0, 14.0, 0.0, 12.0, 3.0, 0.0, 0.0, 0.0, 0.0, 3.0, 0.0, 12.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 6.0, 4.0, 4.0, 0.0, 0.0, 0.0, 14.0, 16.0, 16.0, 16.0, 14.0, 0.0], [0.0, 0.0, 10.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 7.0, 13.0, 4.0, 14.0, 7.0, 0.0, 0.0, 0.0, 7.0, 13.0, 2.0, 7.0, 8.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 16.0, 5.0, 0.0, 0.0, 0.0, 1.0, 12.0, 13.0, 15.0, 6.0, 0.0, 0.0, 0.0, 3.0, 16.0, 2.0, 4.0, 13.0, 6.0, 0.0, 0.0, 4.0, 16.0, 4.0, 1.0, 11.0, 12.0, 0.0, 0.0, 0.0, 7.0, 15.0, 16.0, 14.0, 2.0, 0.0], [0.0, 0.0, 9.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 13.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 7.0, 9.0, 15.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 13.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 16.0, 8.0, 6.0, 0.0, 0.0, 0.0, 9.0, 15.0, 12.0, 16.0, 16.0, 9.0], [0.0, 3.0, 15.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 11.0, 15.0, 2.0, 0.0, 0.0, 0.0, 11.0, 10.0, 4.0, 16.0, 2.0, 0.0, 0.0, 0.0, 2.0, 4.0, 6.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 14.0, 13.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 16.0, 16.0, 16.0, 13.0, 1.0, 0.0, 3.0, 16.0, 12.0, 8.0, 12.0, 11.0, 1.0], [0.0, 0.0, 7.0, 12.0, 13.0, 4.0, 0.0, 0.0, 0.0, 0.0, 16.0, 6.0, 6.0, 2.0, 0.0, 0.0, 0.0, 4.0, 13.0, 7.0, 8.0, 2.0, 0.0, 0.0, 0.0, 7.0, 16.0, 10.0, 10.0, 14.0, 1.0, 0.0, 0.0, 2.0, 2.0, 0.0, 0.0, 10.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 8.0, 0.0, 0.0, 0.0, 11.0, 1.0, 0.0, 10.0, 8.0, 0.0, 0.0, 0.0, 8.0, 15.0, 15.0, 15.0, 2.0, 0.0], [0.0, 0.0, 4.0, 16.0, 8.0, 11.0, 7.0, 0.0, 0.0, 0.0, 10.0, 16.0, 15.0, 16.0, 6.0, 0.0, 0.0, 3.0, 16.0, 4.0, 6.0, 15.0, 0.0, 0.0, 0.0, 3.0, 8.0, 0.0, 13.0, 8.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 16.0, 13.0, 6.0, 0.0, 0.0, 0.0, 3.0, 14.0, 13.0, 9.0, 3.0, 0.0, 0.0, 0.0, 0.0, 14.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 15.0, 2.0, 0.0, 0.0, 0.0], [0.0, 0.0, 6.0, 12.0, 13.0, 2.0, 0.0, 0.0, 0.0, 3.0, 16.0, 6.0, 1.0, 15.0, 0.0, 0.0, 0.0, 5.0, 16.0, 13.0, 12.0, 16.0, 2.0, 0.0, 0.0, 2.0, 13.0, 16.0, 12.0, 15.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 8.0, 0.0, 0.0, 0.0, 1.0, 0.0, 0.0, 8.0, 8.0, 0.0, 0.0, 3.0, 16.0, 2.0, 0.0, 10.0, 7.0, 0.0, 0.0, 0.0, 5.0, 11.0, 16.0, 13.0, 1.0, 0.0], [0.0, 2.0, 16.0, 16.0, 16.0, 16.0, 4.0, 0.0, 0.0, 4.0, 16.0, 6.0, 8.0, 7.0, 1.0, 0.0, 0.0, 4.0, 16.0, 7.0, 2.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 16.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 5.0, 4.0, 10.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 14.0, 6.0, 0.0, 0.0, 2.0, 14.0, 4.0, 4.0, 16.0, 8.0, 0.0, 0.0, 3.0, 13.0, 16.0, 16.0, 15.0, 1.0, 0.0], [0.0, 0.0, 0.0, 9.0, 13.0, 0.0, 6.0, 8.0, 0.0, 0.0, 3.0, 15.0, 3.0, 0.0, 15.0, 9.0, 0.0, 1.0, 13.0, 12.0, 4.0, 7.0, 15.0, 3.0, 0.0, 7.0, 16.0, 16.0, 16.0, 16.0, 10.0, 0.0, 0.0, 6.0, 12.0, 10.0, 14.0, 14.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 11.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 10.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 15.0, 0.0, 0.0, 9.0, 5.0, 0.0, 0.0, 14.0, 10.0, 0.0, 7.0, 16.0, 4.0, 0.0, 5.0, 16.0, 7.0, 5.0, 16.0, 6.0, 0.0, 0.0, 11.0, 16.0, 16.0, 16.0, 14.0, 0.0, 0.0, 0.0, 3.0, 4.0, 11.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 12.0, 0.0, 0.0, 0.0], [0.0, 0.0, 11.0, 14.0, 5.0, 0.0, 0.0, 0.0, 0.0, 6.0, 12.0, 4.0, 13.0, 4.0, 0.0, 0.0, 0.0, 10.0, 10.0, 0.0, 4.0, 14.0, 0.0, 0.0, 0.0, 7.0, 13.0, 5.0, 13.0, 16.0, 2.0, 0.0, 0.0, 1.0, 10.0, 12.0, 12.0, 14.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 12.0, 0.0, 0.0, 0.0, 1.0, 0.0, 0.0, 1.0, 15.0, 0.0, 0.0, 0.0, 11.0, 8.0, 4.0, 5.0, 16.0, 1.0], [0.0, 0.0, 9.0, 13.0, 16.0, 5.0, 0.0, 0.0, 0.0, 3.0, 16.0, 8.0, 4.0, 13.0, 0.0, 0.0, 0.0, 6.0, 10.0, 1.0, 0.0, 9.0, 2.0, 0.0, 0.0, 5.0, 4.0, 0.0, 0.0, 4.0, 8.0, 0.0, 0.0, 8.0, 4.0, 0.0, 0.0, 4.0, 8.0, 0.0, 0.0, 6.0, 6.0, 0.0, 0.0, 4.0, 9.0, 0.0, 0.0, 0.0, 13.0, 2.0, 0.0, 7.0, 8.0, 0.0, 0.0, 0.0, 8.0, 12.0, 13.0, 15.0, 2.0, 0.0], [0.0, 0.0, 2.0, 11.0, 14.0, 8.0, 1.0, 0.0, 0.0, 3.0, 14.0, 9.0, 8.0, 13.0, 4.0, 0.0, 0.0, 6.0, 11.0, 1.0, 4.0, 14.0, 1.0, 0.0, 0.0, 0.0, 9.0, 14.0, 15.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 14.0, 10.0, 0.0, 0.0, 0.0, 0.0, 4.0, 12.0, 2.0, 13.0, 5.0, 0.0, 0.0, 0.0, 4.0, 11.0, 1.0, 11.0, 8.0, 0.0, 0.0, 0.0, 1.0, 9.0, 16.0, 14.0, 2.0, 0.0], [0.0, 1.0, 11.0, 13.0, 10.0, 1.0, 0.0, 0.0, 0.0, 8.0, 12.0, 3.0, 13.0, 10.0, 0.0, 0.0, 0.0, 8.0, 11.0, 2.0, 11.0, 16.0, 1.0, 0.0, 0.0, 1.0, 15.0, 16.0, 16.0, 16.0, 2.0, 0.0, 0.0, 0.0, 2.0, 8.0, 3.0, 9.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 9.0, 0.0, 0.0, 2.0, 12.0, 3.0, 0.0, 9.0, 12.0, 0.0, 0.0, 1.0, 9.0, 15.0, 16.0, 13.0, 3.0, 0.0], [0.0, 0.0, 8.0, 16.0, 15.0, 6.0, 0.0, 0.0, 0.0, 5.0, 14.0, 4.0, 4.0, 15.0, 0.0, 0.0, 0.0, 6.0, 13.0, 0.0, 1.0, 15.0, 2.0, 0.0, 0.0, 1.0, 11.0, 11.0, 13.0, 10.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 12.0, 9.0, 5.0, 13.0, 2.0, 0.0, 0.0, 0.0, 16.0, 2.0, 1.0, 13.0, 8.0, 0.0, 0.0, 0.0, 8.0, 15.0, 16.0, 14.0, 1.0, 0.0], [0.0, 0.0, 3.0, 12.0, 12.0, 2.0, 0.0, 0.0, 0.0, 0.0, 11.0, 10.0, 7.0, 14.0, 2.0, 0.0, 0.0, 0.0, 11.0, 1.0, 0.0, 8.0, 4.0, 0.0, 0.0, 2.0, 14.0, 2.0, 0.0, 5.0, 7.0, 0.0, 0.0, 8.0, 9.0, 0.0, 0.0, 6.0, 8.0, 0.0, 0.0, 3.0, 13.0, 0.0, 0.0, 12.0, 7.0, 0.0, 0.0, 0.0, 15.0, 6.0, 11.0, 12.0, 0.0, 0.0, 0.0, 0.0, 4.0, 15.0, 11.0, 1.0, 0.0, 0.0], [0.0, 0.0, 5.0, 12.0, 12.0, 9.0, 3.0, 0.0, 0.0, 0.0, 8.0, 16.0, 16.0, 16.0, 4.0, 0.0, 0.0, 0.0, 9.0, 16.0, 16.0, 14.0, 1.0, 0.0, 0.0, 0.0, 11.0, 16.0, 16.0, 12.0, 0.0, 0.0, 0.0, 0.0, 12.0, 16.0, 16.0, 12.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 16.0, 12.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 16.0, 12.0, 0.0, 0.0, 0.0, 0.0, 6.0, 12.0, 12.0, 6.0, 0.0, 0.0], [0.0, 1.0, 15.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 11.0, 14.0, 0.0, 0.0, 0.0, 0.0, 12.0, 10.0, 5.0, 16.0, 0.0, 0.0, 0.0, 0.0, 4.0, 7.0, 8.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 15.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 4.0, 15.0, 14.0, 10.0, 11.0, 12.0, 1.0, 0.0, 0.0, 13.0, 16.0, 16.0, 15.0, 11.0, 1.0], [0.0, 0.0, 6.0, 12.0, 13.0, 9.0, 0.0, 0.0, 0.0, 7.0, 14.0, 6.0, 7.0, 16.0, 3.0, 0.0, 0.0, 4.0, 6.0, 5.0, 14.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 14.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 14.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 7.0, 0.0, 0.0, 0.0, 3.0, 1.0, 0.0, 9.0, 8.0, 0.0, 0.0, 0.0, 5.0, 14.0, 12.0, 13.0, 2.0, 0.0], [0.0, 0.0, 0.0, 8.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 7.0, 1.0, 9.0, 3.0, 0.0, 2.0, 15.0, 12.0, 0.0, 13.0, 16.0, 4.0, 0.0, 9.0, 16.0, 10.0, 10.0, 16.0, 11.0, 0.0, 0.0, 4.0, 15.0, 16.0, 16.0, 14.0, 1.0, 0.0, 0.0, 0.0, 0.0, 1.0, 15.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 14.0, 0.0, 0.0, 0.0], [0.0, 1.0, 8.0, 15.0, 16.0, 16.0, 9.0, 0.0, 0.0, 8.0, 16.0, 12.0, 8.0, 8.0, 5.0, 0.0, 0.0, 8.0, 14.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 16.0, 12.0, 0.0, 0.0, 0.0, 0.0, 8.0, 13.0, 8.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0, 12.0, 15.0, 5.0, 0.0, 0.0, 0.0], [0.0, 0.0, 5.0, 13.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 13.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 16.0, 14.0, 9.0, 0.0, 0.0, 0.0, 2.0, 16.0, 8.0, 3.0, 8.0, 9.0, 0.0, 0.0, 0.0, 14.0, 2.0, 0.0, 3.0, 16.0, 1.0, 0.0, 0.0, 6.0, 15.0, 16.0, 14.0, 5.0, 0.0], [0.0, 0.0, 6.0, 12.0, 10.0, 14.0, 8.0, 0.0, 0.0, 0.0, 15.0, 14.0, 13.0, 16.0, 3.0, 0.0, 0.0, 1.0, 12.0, 0.0, 9.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 8.0, 2.0, 0.0, 0.0, 0.0, 9.0, 16.0, 16.0, 16.0, 9.0, 0.0, 0.0, 0.0, 2.0, 15.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 11.0, 0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 7.0, 15.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 16.0, 7.0, 6.0, 15.0, 3.0, 0.0, 0.0, 4.0, 16.0, 0.0, 7.0, 13.0, 4.0, 0.0, 0.0, 0.0, 16.0, 2.0, 8.0, 14.0, 8.0, 0.0, 0.0, 0.0, 12.0, 14.0, 14.0, 7.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 3.0, 14.0, 2.0, 0.0, 0.0, 0.0, 0.0, 5.0, 11.0, 10.0, 10.0, 0.0, 0.0], [0.0, 1.0, 11.0, 16.0, 11.0, 1.0, 0.0, 0.0, 0.0, 6.0, 11.0, 16.0, 16.0, 7.0, 0.0, 0.0, 0.0, 1.0, 2.0, 9.0, 16.0, 11.0, 0.0, 0.0, 0.0, 2.0, 14.0, 12.0, 16.0, 12.0, 0.0, 0.0, 0.0, 0.0, 3.0, 8.0, 4.0, 13.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 8.0, 0.0, 0.0, 0.0, 4.0, 12.0, 16.0, 14.0, 6.0, 0.0, 0.0, 0.0, 14.0, 8.0, 4.0, 0.0, 0.0, 0.0], [0.0, 0.0, 2.0, 14.0, 9.0, 1.0, 0.0, 0.0, 0.0, 1.0, 12.0, 12.0, 11.0, 8.0, 0.0, 0.0, 0.0, 4.0, 14.0, 1.0, 0.0, 13.0, 3.0, 0.0, 0.0, 8.0, 13.0, 0.0, 0.0, 10.0, 6.0, 0.0, 0.0, 5.0, 16.0, 1.0, 0.0, 8.0, 9.0, 0.0, 0.0, 0.0, 16.0, 0.0, 0.0, 11.0, 9.0, 0.0, 0.0, 0.0, 13.0, 11.0, 10.0, 15.0, 4.0, 0.0, 0.0, 0.0, 3.0, 15.0, 16.0, 5.0, 0.0, 0.0], [0.0, 0.0, 6.0, 10.0, 8.0, 3.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 4.0, 9.0, 12.0, 11.0, 2.0, 0.0], [0.0, 0.0, 8.0, 15.0, 15.0, 2.0, 0.0, 0.0, 0.0, 2.0, 16.0, 13.0, 12.0, 10.0, 0.0, 0.0, 0.0, 3.0, 15.0, 1.0, 9.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 15.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 13.0, 1.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 16.0, 13.0, 7.0, 6.0, 1.0, 0.0, 0.0, 7.0, 5.0, 12.0, 16.0, 15.0, 2.0], [0.0, 0.0, 7.0, 13.0, 16.0, 5.0, 0.0, 0.0, 0.0, 6.0, 15.0, 7.0, 6.0, 14.0, 0.0, 0.0, 0.0, 9.0, 5.0, 1.0, 10.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 6.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 12.0, 0.0, 0.0, 0.0, 4.0, 5.0, 2.0, 5.0, 13.0, 0.0, 0.0, 0.0, 6.0, 12.0, 16.0, 14.0, 5.0, 0.0], [0.0, 0.0, 0.0, 6.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 10.0, 0.0, 8.0, 6.0, 0.0, 2.0, 16.0, 11.0, 0.0, 9.0, 16.0, 6.0, 0.0, 8.0, 16.0, 14.0, 14.0, 16.0, 13.0, 1.0, 0.0, 6.0, 12.0, 12.0, 12.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 14.0, 0.0, 0.0, 0.0], [0.0, 1.0, 7.0, 15.0, 16.0, 16.0, 14.0, 0.0, 0.0, 10.0, 16.0, 11.0, 6.0, 3.0, 1.0, 0.0, 0.0, 7.0, 16.0, 16.0, 12.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 12.0, 16.0, 4.0, 0.0, 0.0, 0.0, 1.0, 4.0, 0.0, 13.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 13.0, 15.0, 5.0, 0.0, 0.0, 0.0], [0.0, 0.0, 2.0, 12.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 10.0, 10.0, 5.0, 0.0, 0.0, 0.0, 5.0, 16.0, 15.0, 12.0, 14.0, 6.0, 0.0, 0.0, 4.0, 16.0, 3.0, 0.0, 8.0, 12.0, 0.0, 0.0, 0.0, 14.0, 9.0, 4.0, 11.0, 13.0, 0.0, 0.0, 0.0, 3.0, 14.0, 16.0, 12.0, 3.0, 0.0], [0.0, 0.0, 3.0, 15.0, 16.0, 16.0, 12.0, 0.0, 0.0, 0.0, 12.0, 12.0, 7.0, 16.0, 6.0, 0.0, 0.0, 4.0, 12.0, 0.0, 9.0, 13.0, 0.0, 0.0, 0.0, 0.0, 1.0, 1.0, 13.0, 7.0, 0.0, 0.0, 0.0, 0.0, 8.0, 13.0, 16.0, 16.0, 6.0, 0.0, 0.0, 0.0, 12.0, 15.0, 12.0, 6.0, 1.0, 0.0, 0.0, 0.0, 0.0, 15.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 2.0, 0.0, 0.0, 0.0], [0.0, 0.0, 14.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 4.0, 13.0, 8.0, 8.0, 0.0, 0.0, 0.0, 12.0, 7.0, 12.0, 14.0, 5.0, 0.0, 0.0, 0.0, 4.0, 15.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 10.0, 11.0, 2.0, 0.0, 0.0, 0.0, 0.0, 13.0, 0.0, 12.0, 3.0, 0.0, 0.0, 0.0, 0.0, 14.0, 15.0, 12.0, 1.0, 0.0, 0.0], [0.0, 0.0, 12.0, 15.0, 13.0, 2.0, 0.0, 0.0, 0.0, 1.0, 16.0, 5.0, 5.0, 13.0, 0.0, 0.0, 0.0, 1.0, 7.0, 13.0, 0.0, 8.0, 4.0, 0.0, 0.0, 6.0, 11.0, 13.0, 13.0, 15.0, 4.0, 0.0, 0.0, 1.0, 9.0, 12.0, 12.0, 13.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 14.0, 0.0, 0.0, 0.0, 10.0, 13.0, 12.0, 15.0, 6.0, 0.0], [0.0, 0.0, 3.0, 12.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 12.0, 12.0, 4.0, 0.0, 0.0, 0.0, 2.0, 14.0, 0.0, 1.0, 13.0, 0.0, 0.0, 0.0, 1.0, 12.0, 0.0, 0.0, 7.0, 5.0, 0.0, 0.0, 2.0, 13.0, 0.0, 0.0, 2.0, 10.0, 0.0, 0.0, 0.0, 15.0, 3.0, 0.0, 3.0, 14.0, 0.0, 0.0, 0.0, 7.0, 12.0, 8.0, 11.0, 12.0, 0.0, 0.0, 0.0, 2.0, 11.0, 16.0, 11.0, 2.0, 0.0], [0.0, 0.0, 3.0, 13.0, 10.0, 1.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 14.0, 16.0, 5.0, 0.0, 0.0], [0.0, 0.0, 13.0, 16.0, 13.0, 1.0, 0.0, 0.0, 0.0, 6.0, 16.0, 10.0, 15.0, 5.0, 0.0, 0.0, 0.0, 3.0, 15.0, 0.0, 11.0, 9.0, 0.0, 0.0, 0.0, 0.0, 4.0, 0.0, 12.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 16.0, 13.0, 10.0, 1.0, 0.0, 0.0, 13.0, 16.0, 16.0, 16.0, 16.0, 9.0], [0.0, 0.0, 6.0, 14.0, 16.0, 11.0, 0.0, 0.0, 0.0, 6.0, 14.0, 7.0, 4.0, 16.0, 4.0, 0.0, 0.0, 7.0, 7.0, 0.0, 5.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 14.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 13.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 8.0, 0.0, 0.0, 0.0, 0.0, 2.0, 4.0, 10.0, 12.0, 0.0, 0.0, 0.0, 9.0, 16.0, 16.0, 11.0, 3.0, 0.0], [0.0, 0.0, 0.0, 8.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 1.0, 13.0, 12.0, 0.0, 4.0, 13.0, 1.0, 0.0, 6.0, 16.0, 9.0, 7.0, 15.0, 10.0, 0.0, 0.0, 9.0, 16.0, 16.0, 16.0, 15.0, 2.0, 0.0, 0.0, 0.0, 4.0, 1.0, 14.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 13.0, 0.0, 0.0, 0.0], [0.0, 0.0, 5.0, 10.0, 14.0, 16.0, 11.0, 0.0, 0.0, 2.0, 15.0, 15.0, 5.0, 4.0, 1.0, 0.0, 0.0, 2.0, 16.0, 9.0, 4.0, 1.0, 0.0, 0.0, 0.0, 2.0, 16.0, 16.0, 16.0, 11.0, 0.0, 0.0, 0.0, 2.0, 9.0, 1.0, 0.0, 14.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 14.0, 3.0, 0.0, 0.0, 0.0, 0.0, 2.0, 13.0, 7.0, 0.0, 0.0, 0.0, 0.0, 7.0, 14.0, 7.0, 0.0, 0.0, 0.0], [0.0, 0.0, 1.0, 9.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0, 9.0, 14.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 14.0, 12.0, 16.0, 13.0, 3.0, 0.0, 0.0, 2.0, 15.0, 13.0, 4.0, 3.0, 13.0, 0.0, 0.0, 0.0, 9.0, 8.0, 2.0, 4.0, 16.0, 1.0, 0.0, 0.0, 0.0, 9.0, 12.0, 12.0, 8.0, 0.0], [0.0, 0.0, 5.0, 12.0, 16.0, 12.0, 4.0, 0.0, 0.0, 1.0, 12.0, 7.0, 5.0, 16.0, 5.0, 0.0, 0.0, 2.0, 9.0, 0.0, 8.0, 9.0, 0.0, 0.0, 0.0, 0.0, 2.0, 3.0, 12.0, 1.0, 0.0, 0.0, 0.0, 4.0, 12.0, 14.0, 15.0, 12.0, 4.0, 0.0, 0.0, 5.0, 4.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 12.0, 0.0, 0.0, 0.0, 0.0], [0.0, 2.0, 15.0, 12.0, 1.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 13.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 3.0, 15.0, 12.0, 5.0, 0.0, 0.0, 0.0, 5.0, 16.0, 16.0, 11.0, 0.0, 0.0, 0.0, 2.0, 13.0, 13.0, 14.0, 2.0, 0.0, 0.0, 0.0, 5.0, 13.0, 0.0, 6.0, 8.0, 0.0, 0.0, 0.0, 4.0, 11.0, 0.0, 1.0, 15.0, 0.0, 0.0, 0.0, 2.0, 12.0, 16.0, 16.0, 7.0, 0.0, 0.0], [0.0, 0.0, 9.0, 13.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 7.0, 11.0, 3.0, 0.0, 0.0, 0.0, 4.0, 7.0, 8.0, 5.0, 8.0, 0.0, 0.0, 0.0, 8.0, 10.0, 15.0, 14.0, 9.0, 0.0, 0.0, 0.0, 0.0, 4.0, 7.0, 9.0, 13.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 11.0, 0.0, 0.0, 0.0, 2.0, 0.0, 2.0, 12.0, 6.0, 0.0, 0.0, 0.0, 10.0, 14.0, 14.0, 7.0, 0.0, 0.0], [0.0, 0.0, 5.0, 15.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 6.0, 11.0, 6.0, 0.0, 0.0, 0.0, 7.0, 9.0, 0.0, 0.0, 14.0, 0.0, 0.0, 0.0, 5.0, 9.0, 0.0, 0.0, 8.0, 6.0, 0.0, 0.0, 4.0, 13.0, 0.0, 0.0, 4.0, 8.0, 0.0, 0.0, 1.0, 16.0, 0.0, 0.0, 4.0, 11.0, 0.0, 0.0, 0.0, 15.0, 7.0, 5.0, 16.0, 4.0, 0.0, 0.0, 0.0, 2.0, 15.0, 15.0, 5.0, 0.0, 0.0], [0.0, 0.0, 12.0, 14.0, 6.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 7.0, 13.0, 10.0, 0.0, 0.0, 0.0, 0.0, 16.0, 2.0, 1.0, 13.0, 4.0, 0.0, 0.0, 0.0, 9.0, 13.0, 8.0, 16.0, 2.0, 0.0, 0.0, 0.0, 6.0, 16.0, 16.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 3.0, 16.0, 0.0, 0.0, 0.0, 0.0, 1.0, 6.0, 13.0, 10.0, 0.0, 0.0, 0.0, 0.0, 13.0, 9.0, 8.0, 2.0, 0.0, 0.0], [0.0, 0.0, 8.0, 15.0, 16.0, 16.0, 6.0, 0.0, 0.0, 2.0, 16.0, 11.0, 5.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 16.0, 13.0, 0.0, 0.0, 0.0, 0.0, 10.0, 13.0, 6.0, 15.0, 5.0, 0.0, 0.0, 0.0, 3.0, 1.0, 0.0, 11.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 8.0, 0.0, 0.0, 0.0], [0.0, 0.0, 6.0, 11.0, 16.0, 16.0, 3.0, 0.0, 0.0, 5.0, 16.0, 15.0, 5.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 15.0, 2.0, 0.0, 0.0, 0.0, 0.0, 12.0, 15.0, 12.0, 12.0, 0.0, 0.0, 0.0, 0.0, 2.0, 1.0, 4.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 13.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 6.0, 13.0, 3.0, 0.0, 0.0, 0.0, 0.0, 1.0, 14.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 15.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 15.0, 16.0, 13.0, 5.0, 0.0, 0.0, 0.0, 10.0, 16.0, 5.0, 11.0, 14.0, 0.0, 0.0, 0.0, 7.0, 15.0, 5.0, 10.0, 14.0, 0.0, 0.0, 0.0, 0.0, 3.0, 14.0, 16.0, 9.0, 0.0], [0.0, 0.0, 7.0, 16.0, 16.0, 16.0, 6.0, 0.0, 0.0, 0.0, 12.0, 13.0, 5.0, 1.0, 0.0, 0.0, 0.0, 0.0, 15.0, 7.0, 1.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 16.0, 13.0, 0.0, 0.0, 0.0, 0.0, 11.0, 15.0, 5.0, 16.0, 4.0, 0.0, 0.0, 0.0, 5.0, 3.0, 1.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 15.0, 1.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 12.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 15.0, 13.0, 4.0, 0.0, 0.0, 0.0, 5.0, 16.0, 6.0, 3.0, 12.0, 0.0, 0.0, 0.0, 7.0, 14.0, 1.0, 0.0, 11.0, 5.0, 0.0, 0.0, 3.0, 14.0, 0.0, 0.0, 7.0, 10.0, 0.0, 0.0, 1.0, 14.0, 2.0, 0.0, 9.0, 9.0, 0.0, 0.0, 0.0, 9.0, 11.0, 6.0, 15.0, 5.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 11.0, 0.0, 0.0], [0.0, 0.0, 10.0, 13.0, 9.0, 1.0, 0.0, 0.0, 0.0, 2.0, 16.0, 7.0, 10.0, 8.0, 0.0, 0.0, 0.0, 0.0, 12.0, 12.0, 7.0, 11.0, 0.0, 0.0, 0.0, 3.0, 16.0, 16.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 5.0, 8.0, 12.0, 10.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 15.0, 0.0, 0.0, 0.0, 11.0, 16.0, 16.0, 16.0, 8.0, 0.0], [0.0, 1.0, 13.0, 14.0, 2.0, 0.0, 0.0, 0.0, 0.0, 7.0, 14.0, 9.0, 5.0, 0.0, 0.0, 0.0, 0.0, 6.0, 13.0, 3.0, 12.0, 6.0, 4.0, 0.0, 0.0, 1.0, 14.0, 12.0, 14.0, 16.0, 4.0, 0.0, 0.0, 0.0, 2.0, 16.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 11.0, 14.0, 8.0, 13.0, 0.0, 0.0, 0.0, 4.0, 16.0, 4.0, 2.0, 14.0, 2.0, 0.0, 0.0, 1.0, 12.0, 14.0, 13.0, 6.0, 0.0, 0.0], [0.0, 0.0, 5.0, 15.0, 14.0, 3.0, 0.0, 0.0, 0.0, 0.0, 12.0, 7.0, 2.0, 12.0, 0.0, 0.0, 0.0, 0.0, 16.0, 3.0, 0.0, 12.0, 1.0, 0.0, 0.0, 0.0, 12.0, 11.0, 10.0, 15.0, 0.0, 0.0, 0.0, 0.0, 2.0, 10.0, 15.0, 13.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 4.0, 0.0, 0.0, 0.0, 0.0, 6.0, 12.0, 15.0, 2.0, 0.0, 0.0, 0.0, 7.0, 13.0, 4.0, 0.0, 0.0, 0.0], [0.0, 0.0, 4.0, 15.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 13.0, 11.0, 11.0, 15.0, 0.0, 0.0, 0.0, 0.0, 15.0, 13.0, 15.0, 16.0, 7.0, 0.0, 0.0, 0.0, 7.0, 16.0, 16.0, 11.0, 2.0, 0.0, 0.0, 0.0, 5.0, 15.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 16.0, 9.0, 12.0, 11.0, 0.0, 0.0, 0.0, 2.0, 16.0, 6.0, 8.0, 16.0, 0.0, 0.0, 0.0, 0.0, 7.0, 14.0, 13.0, 8.0, 0.0, 0.0], [0.0, 0.0, 0.0, 3.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 3.0, 14.0, 10.0, 0.0, 9.0, 11.0, 0.0, 1.0, 13.0, 11.0, 0.0, 2.0, 15.0, 8.0, 0.0, 7.0, 16.0, 9.0, 11.0, 16.0, 15.0, 1.0, 0.0, 6.0, 15.0, 13.0, 12.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 15.0, 2.0, 0.0, 0.0, 0.0, 0.0, 1.0, 15.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 15.0, 2.0, 0.0, 0.0], [0.0, 0.0, 6.0, 15.0, 12.0, 5.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 16.0, 13.0, 1.0, 0.0, 0.0, 0.0, 8.0, 16.0, 16.0, 12.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 16.0, 16.0, 16.0, 5.0, 0.0, 0.0, 0.0, 5.0, 16.0, 16.0, 16.0, 1.0, 0.0, 0.0, 0.0, 3.0, 15.0, 16.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 15.0, 3.0, 0.0, 0.0], [0.0, 0.0, 5.0, 10.0, 11.0, 13.0, 12.0, 0.0, 0.0, 2.0, 14.0, 8.0, 8.0, 13.0, 10.0, 0.0, 0.0, 1.0, 6.0, 0.0, 4.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 15.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 15.0, 8.0, 1.0, 0.0, 0.0, 2.0, 15.0, 15.0, 8.0, 7.0, 0.0, 0.0, 0.0, 1.0, 9.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 11.0, 0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 2.0, 15.0, 16.0, 15.0, 0.0, 0.0, 0.0, 0.0, 12.0, 9.0, 11.0, 12.0, 0.0, 0.0, 0.0, 5.0, 15.0, 0.0, 13.0, 7.0, 0.0, 0.0, 0.0, 5.0, 6.0, 3.0, 14.0, 5.0, 2.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 16.0, 9.0, 0.0, 0.0, 0.0, 7.0, 16.0, 9.0, 2.0, 0.0, 0.0, 0.0, 0.0, 1.0, 15.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 7.0, 14.0, 15.0, 7.0, 0.0, 0.0, 0.0, 6.0, 16.0, 8.0, 7.0, 16.0, 4.0, 0.0, 0.0, 11.0, 6.0, 1.0, 10.0, 14.0, 1.0, 0.0, 0.0, 1.0, 0.0, 4.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 11.0, 13.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 7.0, 0.0, 0.0, 0.0, 3.0, 4.0, 8.0, 14.0, 3.0, 0.0, 0.0, 0.0, 10.0, 13.0, 12.0, 4.0, 0.0, 0.0], [0.0, 1.0, 9.0, 16.0, 16.0, 15.0, 3.0, 0.0, 0.0, 8.0, 16.0, 12.0, 8.0, 8.0, 3.0, 0.0, 0.0, 6.0, 16.0, 9.0, 3.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 16.0, 16.0, 4.0, 0.0, 0.0, 0.0, 3.0, 6.0, 4.0, 13.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 13.0, 0.0, 0.0, 0.0, 0.0, 5.0, 8.0, 15.0, 10.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 11.0, 1.0, 0.0, 0.0], [0.0, 0.0, 2.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 12.0, 16.0, 3.0, 0.0, 0.0], [0.0, 0.0, 0.0, 10.0, 11.0, 1.0, 0.0, 0.0, 0.0, 0.0, 1.0, 15.0, 8.0, 8.0, 0.0, 0.0, 0.0, 5.0, 4.0, 10.0, 0.0, 12.0, 0.0, 0.0, 0.0, 7.0, 8.0, 10.0, 0.0, 7.0, 5.0, 0.0, 0.0, 6.0, 10.0, 0.0, 0.0, 2.0, 9.0, 0.0, 0.0, 1.0, 13.0, 0.0, 0.0, 2.0, 11.0, 0.0, 0.0, 0.0, 6.0, 11.0, 4.0, 10.0, 11.0, 0.0, 0.0, 0.0, 0.0, 9.0, 15.0, 14.0, 5.0, 0.0], [0.0, 2.0, 0.0, 8.0, 9.0, 0.0, 0.0, 0.0, 0.0, 13.0, 5.0, 14.0, 8.0, 7.0, 0.0, 0.0, 0.0, 12.0, 5.0, 2.0, 0.0, 9.0, 0.0, 0.0, 0.0, 7.0, 5.0, 0.0, 0.0, 3.0, 5.0, 0.0, 0.0, 3.0, 10.0, 0.0, 0.0, 2.0, 10.0, 0.0, 0.0, 1.0, 13.0, 0.0, 0.0, 1.0, 12.0, 0.0, 0.0, 0.0, 5.0, 13.0, 5.0, 9.0, 13.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 16.0, 7.0, 0.0], [0.0, 0.0, 6.0, 16.0, 13.0, 12.0, 14.0, 1.0, 0.0, 0.0, 14.0, 4.0, 4.0, 15.0, 4.0, 0.0, 0.0, 1.0, 7.0, 0.0, 10.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 13.0, 1.0, 0.0, 0.0, 0.0, 2.0, 9.0, 14.0, 16.0, 12.0, 0.0, 0.0, 0.0, 4.0, 6.0, 15.0, 2.0, 4.0, 1.0, 0.0, 0.0, 0.0, 6.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 4.0, 0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 9.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 1.0, 16.0, 10.0, 8.0, 0.0, 0.0, 0.0, 15.0, 6.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 14.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 9.0, 11.0, 2.0, 0.0, 0.0, 0.0, 0.0, 12.0, 1.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 14.0, 3.0, 0.0, 0.0, 0.0], [0.0, 0.0, 11.0, 16.0, 15.0, 3.0, 0.0, 0.0, 0.0, 5.0, 16.0, 12.0, 11.0, 13.0, 0.0, 0.0, 0.0, 3.0, 13.0, 1.0, 5.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 16.0, 16.0, 11.0, 1.0, 0.0, 0.0, 0.0, 13.0, 13.0, 8.0, 13.0, 16.0, 8.0], [0.0, 0.0, 6.0, 16.0, 15.0, 5.0, 0.0, 0.0, 0.0, 1.0, 16.0, 14.0, 8.0, 15.0, 1.0, 0.0, 0.0, 9.0, 13.0, 1.0, 0.0, 12.0, 6.0, 0.0, 0.0, 5.0, 9.0, 0.0, 0.0, 9.0, 10.0, 0.0, 0.0, 6.0, 9.0, 0.0, 0.0, 9.0, 11.0, 0.0, 0.0, 7.0, 16.0, 1.0, 0.0, 11.0, 11.0, 0.0, 0.0, 3.0, 16.0, 11.0, 13.0, 16.0, 8.0, 0.0, 0.0, 0.0, 8.0, 16.0, 16.0, 12.0, 1.0, 0.0], [0.0, 0.0, 0.0, 14.0, 14.0, 9.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 13.0, 16.0, 15.0, 2.0, 0.0, 0.0, 0.0, 1.0, 15.0, 16.0, 11.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 12.0, 12.0, 0.0, 0.0, 0.0], [0.0, 0.0, 9.0, 16.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 8.0, 13.0, 7.0, 0.0, 0.0, 0.0, 0.0, 12.0, 0.0, 8.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 15.0, 10.0, 9.0, 1.0, 0.0, 0.0, 12.0, 14.0, 13.0, 16.0, 16.0, 5.0], [0.0, 0.0, 1.0, 14.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 11.0, 4.0, 0.0, 0.0, 0.0, 0.0, 1.0, 11.0, 1.0, 0.0, 0.0, 0.0, 0.0, 1.0, 12.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 14.0, 13.0, 8.0, 1.0, 0.0, 0.0, 3.0, 16.0, 16.0, 13.0, 16.0, 8.0, 0.0, 0.0, 0.0, 12.0, 16.0, 7.0, 15.0, 12.0, 0.0, 0.0, 0.0, 1.0, 13.0, 16.0, 16.0, 8.0, 0.0], [0.0, 0.0, 11.0, 16.0, 16.0, 10.0, 0.0, 0.0, 1.0, 14.0, 16.0, 9.0, 11.0, 16.0, 1.0, 0.0, 1.0, 14.0, 3.0, 0.0, 12.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 10.0, 0.0, 0.0, 0.0, 2.0, 4.0, 5.0, 14.0, 13.0, 0.0, 0.0, 0.0, 11.0, 16.0, 16.0, 16.0, 4.0, 0.0], [0.0, 0.0, 9.0, 16.0, 16.0, 15.0, 4.0, 0.0, 0.0, 8.0, 16.0, 9.0, 7.0, 14.0, 11.0, 0.0, 0.0, 5.0, 5.0, 1.0, 13.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 11.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 8.0, 0.0, 0.0, 0.0, 3.0, 4.0, 6.0, 16.0, 4.0, 0.0, 0.0, 0.0, 14.0, 16.0, 16.0, 8.0, 0.0, 0.0], [0.0, 0.0, 10.0, 16.0, 13.0, 12.0, 15.0, 5.0, 0.0, 4.0, 16.0, 8.0, 12.0, 16.0, 6.0, 0.0, 0.0, 6.0, 12.0, 2.0, 16.0, 7.0, 0.0, 0.0, 0.0, 1.0, 5.0, 9.0, 14.0, 1.0, 0.0, 0.0, 0.0, 1.0, 7.0, 16.0, 12.0, 2.0, 0.0, 0.0, 0.0, 8.0, 16.0, 16.0, 12.0, 5.0, 0.0, 0.0, 0.0, 1.0, 11.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 6.0, 0.0, 0.0, 0.0, 0.0], [0.0, 1.0, 13.0, 16.0, 16.0, 10.0, 0.0, 0.0, 0.0, 8.0, 15.0, 8.0, 15.0, 15.0, 0.0, 0.0, 0.0, 3.0, 8.0, 5.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 0.0, 0.0, 0.0, 8.0, 6.0, 6.0, 13.0, 12.0, 0.0, 0.0, 1.0, 15.0, 16.0, 16.0, 14.0, 3.0, 0.0], [0.0, 1.0, 12.0, 16.0, 16.0, 9.0, 0.0, 0.0, 0.0, 11.0, 15.0, 9.0, 7.0, 16.0, 3.0, 0.0, 0.0, 13.0, 3.0, 1.0, 10.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 15.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 13.0, 0.0, 0.0, 0.0, 7.0, 4.0, 8.0, 15.0, 9.0, 0.0, 0.0, 0.0, 13.0, 16.0, 16.0, 12.0, 1.0, 0.0], [0.0, 0.0, 1.0, 14.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 15.0, 2.0, 0.0, 4.0, 0.0, 0.0, 2.0, 16.0, 6.0, 0.0, 7.0, 16.0, 2.0, 0.0, 8.0, 16.0, 6.0, 6.0, 16.0, 12.0, 0.0, 0.0, 5.0, 16.0, 16.0, 16.0, 15.0, 3.0, 0.0, 0.0, 0.0, 1.0, 4.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 16.0, 0.0, 0.0, 0.0], [0.0, 0.0, 1.0, 14.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 7.0, 5.0, 4.0, 1.0, 0.0, 0.0, 0.0, 10.0, 16.0, 13.0, 14.0, 14.0, 0.0, 0.0, 0.0, 9.0, 14.0, 1.0, 4.0, 16.0, 3.0, 0.0, 0.0, 1.0, 12.0, 13.0, 16.0, 9.0, 1.0], [0.0, 0.0, 0.0, 7.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 8.0, 1.0, 1.0, 0.0, 0.0, 0.0, 0.0, 12.0, 16.0, 16.0, 15.0, 5.0, 0.0, 0.0, 0.0, 14.0, 11.0, 0.0, 1.0, 15.0, 0.0, 0.0, 0.0, 6.0, 11.0, 1.0, 3.0, 14.0, 2.0, 0.0, 0.0, 0.0, 8.0, 16.0, 16.0, 7.0, 0.0], [0.0, 0.0, 0.0, 13.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 12.0, 16.0, 11.0, 3.0, 0.0, 0.0, 2.0, 16.0, 15.0, 9.0, 9.0, 15.0, 2.0, 0.0, 0.0, 11.0, 12.0, 1.0, 3.0, 16.0, 6.0, 0.0, 0.0, 1.0, 13.0, 16.0, 16.0, 15.0, 1.0], [0.0, 0.0, 3.0, 15.0, 7.0, 0.0, 0.0, 0.0, 0.0, 3.0, 15.0, 11.0, 1.0, 1.0, 7.0, 0.0, 0.0, 8.0, 16.0, 2.0, 0.0, 13.0, 15.0, 0.0, 0.0, 8.0, 16.0, 13.0, 14.0, 16.0, 5.0, 0.0, 0.0, 0.0, 8.0, 9.0, 15.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 4.0, 0.0, 0.0, 0.0], [0.0, 0.0, 7.0, 12.0, 11.0, 1.0, 0.0, 0.0, 0.0, 0.0, 12.0, 10.0, 5.0, 14.0, 0.0, 0.0, 0.0, 6.0, 13.0, 13.0, 3.0, 15.0, 0.0, 0.0, 0.0, 8.0, 9.0, 11.0, 16.0, 8.0, 0.0, 0.0, 0.0, 1.0, 11.0, 10.0, 9.0, 11.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 12.0, 0.0, 0.0, 0.0, 8.0, 12.0, 16.0, 13.0, 2.0, 0.0], [0.0, 0.0, 0.0, 15.0, 12.0, 1.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 15.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 16.0, 1.0, 0.0, 0.0], [0.0, 0.0, 0.0, 8.0, 16.0, 16.0, 7.0, 0.0, 0.0, 0.0, 15.0, 16.0, 10.0, 8.0, 1.0, 0.0, 0.0, 3.0, 16.0, 12.0, 5.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 16.0, 16.0, 3.0, 0.0, 0.0, 0.0, 8.0, 11.0, 2.0, 13.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 14.0, 2.0, 0.0, 0.0], [0.0, 0.0, 5.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 5.0, 12.0, 6.0, 0.0, 0.0, 0.0, 4.0, 14.0, 0.0, 2.0, 13.0, 0.0, 0.0, 0.0, 4.0, 10.0, 0.0, 0.0, 9.0, 8.0, 0.0, 0.0, 5.0, 8.0, 0.0, 0.0, 8.0, 8.0, 0.0, 0.0, 2.0, 11.0, 0.0, 0.0, 9.0, 6.0, 0.0, 0.0, 0.0, 15.0, 6.0, 8.0, 15.0, 1.0, 0.0, 0.0, 0.0, 4.0, 13.0, 12.0, 3.0, 0.0, 0.0], [0.0, 1.0, 12.0, 15.0, 10.0, 2.0, 0.0, 0.0, 0.0, 4.0, 14.0, 1.0, 6.0, 12.0, 2.0, 0.0, 0.0, 7.0, 15.0, 0.0, 1.0, 14.0, 4.0, 0.0, 0.0, 3.0, 15.0, 12.0, 15.0, 10.0, 0.0, 0.0, 0.0, 0.0, 3.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 13.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 6.0, 0.0, 0.0, 0.0, 0.0, 11.0, 12.0, 13.0, 4.0, 0.0, 0.0], [0.0, 1.0, 12.0, 16.0, 16.0, 16.0, 4.0, 0.0, 0.0, 4.0, 16.0, 10.0, 4.0, 1.0, 1.0, 0.0, 0.0, 6.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 12.0, 5.0, 0.0, 0.0, 0.0, 0.0, 7.0, 11.0, 11.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 2.0, 13.0, 10.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 11.0, 0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 10.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 13.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 12.0, 1.0, 11.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 6.0, 4.0, 0.0, 0.0, 0.0, 5.0, 16.0, 16.0, 16.0, 16.0, 4.0, 0.0, 0.0, 11.0, 15.0, 9.0, 8.0, 6.0, 0.0], [0.0, 1.0, 14.0, 14.0, 6.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 1.0, 14.0, 2.0, 0.0, 0.0, 0.0, 0.0, 10.0, 7.0, 10.0, 6.0, 4.0, 0.0, 0.0, 0.0, 1.0, 12.0, 16.0, 14.0, 5.0, 0.0, 0.0, 0.0, 3.0, 14.0, 16.0, 4.0, 0.0, 0.0, 0.0, 1.0, 15.0, 5.0, 6.0, 12.0, 0.0, 0.0, 0.0, 4.0, 10.0, 0.0, 1.0, 15.0, 0.0, 0.0, 0.0, 1.0, 12.0, 12.0, 12.0, 5.0, 0.0, 0.0], [0.0, 1.0, 11.0, 16.0, 16.0, 10.0, 0.0, 0.0, 0.0, 8.0, 16.0, 11.0, 7.0, 16.0, 1.0, 0.0, 0.0, 7.0, 11.0, 0.0, 5.0, 16.0, 2.0, 0.0, 0.0, 0.0, 2.0, 0.0, 7.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 5.0, 15.0, 16.0, 11.0, 6.0, 0.0, 0.0, 0.0, 14.0, 16.0, 13.0, 13.0, 16.0, 5.0], [0.0, 0.0, 2.0, 14.0, 14.0, 6.0, 0.0, 0.0, 0.0, 0.0, 10.0, 15.0, 11.0, 15.0, 2.0, 0.0, 0.0, 3.0, 16.0, 3.0, 0.0, 12.0, 6.0, 0.0, 0.0, 3.0, 9.0, 0.0, 0.0, 9.0, 10.0, 0.0, 0.0, 10.0, 11.0, 0.0, 0.0, 8.0, 12.0, 0.0, 0.0, 7.0, 16.0, 1.0, 0.0, 11.0, 13.0, 0.0, 0.0, 0.0, 15.0, 14.0, 12.0, 15.0, 10.0, 0.0, 0.0, 0.0, 3.0, 14.0, 16.0, 13.0, 5.0, 0.0], [0.0, 0.0, 5.0, 15.0, 13.0, 2.0, 0.0, 0.0, 0.0, 1.0, 15.0, 11.0, 8.0, 13.0, 0.0, 0.0, 0.0, 5.0, 14.0, 0.0, 0.0, 14.0, 5.0, 0.0, 0.0, 9.0, 16.0, 1.0, 0.0, 7.0, 9.0, 0.0, 0.0, 9.0, 13.0, 0.0, 0.0, 5.0, 14.0, 0.0, 0.0, 6.0, 16.0, 2.0, 0.0, 5.0, 15.0, 0.0, 0.0, 2.0, 14.0, 11.0, 5.0, 14.0, 12.0, 0.0, 0.0, 0.0, 5.0, 15.0, 16.0, 15.0, 3.0, 0.0], [0.0, 0.0, 4.0, 15.0, 12.0, 2.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 14.0, 2.0, 0.0, 0.0, 0.0, 0.0, 12.0, 16.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 12.0, 1.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 12.0, 12.0, 0.0, 0.0, 0.0], [0.0, 0.0, 10.0, 15.0, 8.0, 13.0, 6.0, 0.0, 0.0, 0.0, 13.0, 14.0, 14.0, 15.0, 2.0, 0.0, 0.0, 1.0, 15.0, 0.0, 13.0, 7.0, 0.0, 0.0, 0.0, 2.0, 7.0, 9.0, 16.0, 13.0, 13.0, 0.0, 0.0, 0.0, 10.0, 16.0, 11.0, 7.0, 2.0, 0.0, 0.0, 0.0, 4.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 4.0, 0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 9.0, 15.0, 2.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 11.0, 1.0, 0.0, 0.0, 0.0, 0.0, 13.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 11.0, 4.0, 4.0, 0.0, 0.0, 0.0, 2.0, 15.0, 16.0, 16.0, 14.0, 10.0, 1.0, 0.0, 0.0, 9.0, 16.0, 7.0, 3.0, 15.0, 6.0, 0.0, 0.0, 0.0, 7.0, 15.0, 16.0, 16.0, 6.0], [0.0, 1.0, 10.0, 14.0, 13.0, 4.0, 0.0, 0.0, 0.0, 12.0, 11.0, 5.0, 8.0, 14.0, 0.0, 0.0, 0.0, 8.0, 3.0, 2.0, 12.0, 8.0, 0.0, 0.0, 0.0, 0.0, 3.0, 15.0, 15.0, 4.0, 0.0, 0.0, 0.0, 0.0, 1.0, 4.0, 7.0, 14.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 11.0, 11.0, 0.0, 0.0, 0.0, 12.0, 16.0, 16.0, 9.0, 1.0, 0.0], [0.0, 1.0, 15.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 7.0, 15.0, 10.0, 16.0, 0.0, 0.0, 0.0, 0.0, 4.0, 12.0, 1.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 2.0, 3.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 14.0, 14.0, 15.0, 3.0, 0.0, 1.0, 15.0, 16.0, 16.0, 16.0, 16.0, 5.0], [0.0, 0.0, 3.0, 15.0, 12.0, 2.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 15.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 16.0, 6.0, 0.0, 0.0], [0.0, 0.0, 11.0, 8.0, 4.0, 13.0, 16.0, 3.0, 0.0, 2.0, 16.0, 16.0, 16.0, 14.0, 9.0, 1.0, 0.0, 4.0, 13.0, 6.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 2.0, 15.0, 10.0, 0.0, 0.0, 0.0, 0.0, 5.0, 13.0, 16.0, 14.0, 12.0, 2.0, 0.0, 0.0, 8.0, 15.0, 15.0, 12.0, 12.0, 2.0, 0.0, 0.0, 0.0, 15.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 9.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 5.0, 0.0, 1.0, 0.0, 0.0, 2.0, 14.0, 9.0, 0.0, 5.0, 15.0, 1.0, 0.0, 8.0, 16.0, 9.0, 12.0, 16.0, 9.0, 0.0, 0.0, 5.0, 16.0, 13.0, 13.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 15.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 12.0, 0.0, 0.0, 0.0], [0.0, 0.0, 1.0, 13.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 5.0, 9.0, 9.0, 3.0, 0.0, 0.0, 0.0, 12.0, 16.0, 13.0, 9.0, 14.0, 1.0, 0.0, 0.0, 8.0, 15.0, 0.0, 1.0, 14.0, 5.0, 0.0, 0.0, 1.0, 11.0, 16.0, 16.0, 13.0, 1.0], [0.0, 1.0, 10.0, 15.0, 16.0, 11.0, 0.0, 0.0, 0.0, 8.0, 11.0, 4.0, 7.0, 14.0, 0.0, 0.0, 0.0, 7.0, 1.0, 2.0, 13.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 14.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 9.0, 0.0, 0.0, 0.0, 2.0, 0.0, 3.0, 11.0, 7.0, 0.0, 0.0, 0.0, 15.0, 16.0, 16.0, 7.0, 0.0, 0.0], [0.0, 0.0, 13.0, 14.0, 10.0, 2.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 16.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 16.0, 16.0, 4.0, 0.0, 0.0, 0.0, 4.0, 16.0, 16.0, 14.0, 2.0, 0.0, 0.0, 0.0, 8.0, 16.0, 16.0, 7.0, 0.0, 0.0, 0.0, 3.0, 15.0, 16.0, 16.0, 4.0, 0.0, 0.0, 0.0, 1.0, 16.0, 16.0, 14.0, 1.0, 0.0, 0.0, 0.0, 0.0, 14.0, 16.0, 13.0, 3.0, 0.0, 0.0], [0.0, 0.0, 3.0, 11.0, 14.0, 12.0, 3.0, 0.0, 0.0, 2.0, 13.0, 10.0, 4.0, 10.0, 12.0, 0.0, 0.0, 2.0, 11.0, 2.0, 0.0, 9.0, 9.0, 0.0, 0.0, 0.0, 0.0, 3.0, 10.0, 10.0, 1.0, 0.0, 0.0, 0.0, 7.0, 16.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 3.0, 0.0, 14.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 13.0, 2.0, 0.0, 0.0, 0.0, 3.0, 7.0, 14.0, 5.0, 0.0, 0.0, 0.0], [0.0, 0.0, 11.0, 12.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 8.0, 13.0, 2.0, 0.0, 0.0, 0.0, 0.0, 7.0, 11.0, 9.0, 9.0, 0.0, 0.0, 0.0, 4.0, 12.0, 12.0, 16.0, 7.0, 0.0, 0.0, 0.0, 2.0, 10.0, 12.0, 9.0, 12.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 2.0, 0.0, 0.0, 6.0, 12.0, 12.0, 13.0, 11.0, 0.0], [0.0, 0.0, 1.0, 11.0, 14.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 16.0, 11.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 13.0, 16.0, 9.0, 0.0, 0.0], [0.0, 0.0, 4.0, 13.0, 16.0, 16.0, 7.0, 0.0, 0.0, 0.0, 15.0, 10.0, 7.0, 16.0, 1.0, 0.0, 0.0, 7.0, 12.0, 0.0, 12.0, 7.0, 0.0, 0.0, 0.0, 9.0, 5.0, 3.0, 16.0, 2.0, 0.0, 0.0, 0.0, 2.0, 11.0, 16.0, 16.0, 12.0, 7.0, 0.0, 0.0, 5.0, 10.0, 16.0, 12.0, 8.0, 3.0, 0.0, 0.0, 0.0, 3.0, 15.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 14.0, 0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 13.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 15.0, 16.0, 14.0, 5.0, 0.0, 0.0, 0.0, 13.0, 7.0, 0.0, 0.0, 13.0, 1.0, 0.0, 0.0, 10.0, 6.0, 0.0, 5.0, 14.0, 0.0, 0.0, 0.0, 2.0, 13.0, 12.0, 15.0, 4.0, 0.0], [0.0, 0.0, 10.0, 15.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 4.0, 11.0, 3.0, 5.0, 0.0, 0.0, 0.0, 14.0, 5.0, 7.0, 10.0, 7.0, 0.0, 0.0, 0.0, 4.0, 13.0, 12.0, 11.0, 0.0, 0.0, 0.0, 0.0, 2.0, 14.0, 12.0, 0.0, 0.0, 0.0, 0.0, 1.0, 14.0, 7.0, 12.0, 4.0, 0.0, 0.0, 0.0, 7.0, 10.0, 0.0, 3.0, 12.0, 0.0, 0.0, 0.0, 1.0, 10.0, 11.0, 12.0, 10.0, 0.0, 0.0], [0.0, 0.0, 0.0, 8.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 3.0, 0.0, 2.0, 0.0, 0.0, 1.0, 16.0, 5.0, 1.0, 10.0, 15.0, 1.0, 0.0, 9.0, 16.0, 4.0, 9.0, 16.0, 7.0, 0.0, 0.0, 7.0, 16.0, 16.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 2.0, 8.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 10.0, 0.0, 0.0, 0.0], [0.0, 1.0, 12.0, 16.0, 13.0, 7.0, 0.0, 0.0, 0.0, 12.0, 11.0, 4.0, 4.0, 15.0, 0.0, 0.0, 0.0, 8.0, 3.0, 0.0, 6.0, 14.0, 2.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 5.0, 13.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 10.0, 0.0, 0.0, 0.0, 10.0, 10.0, 13.0, 14.0, 1.0, 0.0], [0.0, 0.0, 1.0, 12.0, 11.0, 1.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 15.0, 2.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 11.0, 13.0, 1.0, 0.0, 0.0], [0.0, 0.0, 0.0, 9.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 4.0, 0.0, 3.0, 9.0, 0.0, 0.0, 7.0, 14.0, 0.0, 1.0, 14.0, 12.0, 0.0, 0.0, 9.0, 16.0, 12.0, 14.0, 15.0, 1.0, 0.0, 0.0, 0.0, 6.0, 8.0, 15.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 13.0, 0.0, 0.0, 0.0], [0.0, 0.0, 5.0, 15.0, 12.0, 1.0, 0.0, 0.0, 0.0, 0.0, 8.0, 8.0, 6.0, 12.0, 0.0, 0.0, 0.0, 2.0, 5.0, 0.0, 0.0, 12.0, 2.0, 0.0, 0.0, 4.0, 14.0, 0.0, 0.0, 8.0, 6.0, 0.0, 0.0, 7.0, 11.0, 0.0, 0.0, 9.0, 7.0, 0.0, 0.0, 3.0, 13.0, 0.0, 0.0, 12.0, 3.0, 0.0, 0.0, 0.0, 16.0, 5.0, 9.0, 14.0, 1.0, 0.0, 0.0, 0.0, 5.0, 15.0, 11.0, 4.0, 0.0, 0.0], [0.0, 1.0, 13.0, 16.0, 16.0, 11.0, 0.0, 0.0, 0.0, 10.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 15.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 14.0, 5.0, 0.0, 0.0, 0.0, 0.0, 3.0, 15.0, 16.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 11.0, 11.0, 0.0, 0.0, 0.0, 0.0, 1.0, 5.0, 15.0, 9.0, 0.0, 0.0, 0.0, 0.0, 13.0, 16.0, 13.0, 1.0, 0.0, 0.0], [0.0, 1.0, 13.0, 16.0, 16.0, 12.0, 1.0, 0.0, 0.0, 12.0, 15.0, 6.0, 12.0, 16.0, 3.0, 0.0, 0.0, 13.0, 10.0, 10.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 15.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 10.0, 14.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 7.0, 0.0, 0.0, 0.0, 3.0, 1.0, 5.0, 16.0, 9.0, 0.0, 0.0, 1.0, 14.0, 16.0, 16.0, 11.0, 1.0, 0.0], [0.0, 0.0, 2.0, 14.0, 15.0, 3.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 16.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 13.0, 16.0, 10.0, 16.0, 7.0, 0.0, 0.0, 0.0, 3.0, 15.0, 16.0, 16.0, 4.0, 0.0], [0.0, 0.0, 12.0, 16.0, 15.0, 6.0, 0.0, 0.0, 0.0, 0.0, 15.0, 12.0, 7.0, 15.0, 1.0, 0.0, 0.0, 1.0, 15.0, 15.0, 7.0, 16.0, 4.0, 0.0, 0.0, 1.0, 12.0, 16.0, 16.0, 14.0, 1.0, 0.0, 0.0, 0.0, 0.0, 4.0, 10.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 15.0, 3.0, 0.0, 0.0, 0.0, 3.0, 0.0, 2.0, 16.0, 6.0, 0.0, 0.0, 0.0, 13.0, 16.0, 16.0, 15.0, 1.0, 0.0], [0.0, 0.0, 1.0, 10.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 1.0, 5.0, 2.0, 0.0, 0.0, 0.0, 3.0, 16.0, 15.0, 11.0, 9.0, 5.0, 0.0, 0.0, 2.0, 16.0, 6.0, 0.0, 2.0, 14.0, 0.0, 0.0, 0.0, 10.0, 10.0, 1.0, 5.0, 15.0, 0.0, 0.0, 0.0, 1.0, 12.0, 15.0, 14.0, 6.0, 0.0], [0.0, 0.0, 3.0, 16.0, 12.0, 2.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 14.0, 16.0, 3.0, 0.0, 0.0], [0.0, 0.0, 11.0, 16.0, 12.0, 12.0, 16.0, 7.0, 0.0, 3.0, 16.0, 9.0, 8.0, 16.0, 10.0, 0.0, 0.0, 1.0, 10.0, 0.0, 6.0, 14.0, 2.0, 0.0, 0.0, 0.0, 1.0, 8.0, 15.0, 15.0, 11.0, 0.0, 0.0, 0.0, 12.0, 16.0, 15.0, 7.0, 2.0, 0.0, 0.0, 0.0, 4.0, 13.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 12.0, 0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 2.0, 10.0, 16.0, 12.0, 0.0, 0.0, 0.0, 2.0, 15.0, 14.0, 8.0, 1.0, 0.0, 0.0, 0.0, 2.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 14.0, 13.0, 3.0, 0.0, 0.0, 0.0, 10.0, 16.0, 7.0, 11.0, 12.0, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 4.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 2.0, 0.0, 0.0, 0.0, 2.0, 14.0, 16.0, 8.0, 0.0, 0.0], [0.0, 0.0, 0.0, 5.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 15.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 9.0, 0.0, 0.0, 3.0, 0.0, 0.0, 4.0, 14.0, 1.0, 0.0, 8.0, 15.0, 0.0, 0.0, 10.0, 14.0, 12.0, 13.0, 16.0, 6.0, 0.0, 0.0, 5.0, 12.0, 9.0, 11.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 14.0, 1.0, 0.0, 0.0], [0.0, 0.0, 0.0, 11.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 15.0, 2.0, 0.0, 2.0, 1.0, 0.0, 2.0, 16.0, 5.0, 0.0, 4.0, 16.0, 3.0, 0.0, 5.0, 16.0, 8.0, 11.0, 16.0, 9.0, 0.0, 0.0, 4.0, 15.0, 14.0, 13.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 11.0, 0.0, 0.0, 0.0], [0.0, 0.0, 8.0, 16.0, 14.0, 15.0, 0.0, 0.0, 0.0, 0.0, 13.0, 11.0, 15.0, 11.0, 0.0, 0.0, 0.0, 4.0, 14.0, 1.0, 13.0, 5.0, 0.0, 0.0, 0.0, 3.0, 7.0, 8.0, 16.0, 4.0, 3.0, 0.0, 0.0, 0.0, 14.0, 16.0, 16.0, 13.0, 7.0, 0.0, 0.0, 0.0, 5.0, 13.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 6.0, 0.0, 0.0, 0.0, 0.0], [0.0, 2.0, 15.0, 15.0, 3.0, 0.0, 0.0, 0.0, 0.0, 11.0, 15.0, 11.0, 12.0, 0.0, 0.0, 0.0, 0.0, 8.0, 10.0, 0.0, 16.0, 0.0, 0.0, 0.0, 0.0, 1.0, 3.0, 2.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 12.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 16.0, 13.0, 13.0, 15.0, 3.0, 0.0, 2.0, 13.0, 14.0, 12.0, 12.0, 8.0, 1.0], [0.0, 0.0, 9.0, 14.0, 14.0, 3.0, 0.0, 0.0, 0.0, 4.0, 13.0, 1.0, 4.0, 11.0, 0.0, 0.0, 0.0, 1.0, 14.0, 1.0, 11.0, 7.0, 6.0, 0.0, 0.0, 0.0, 15.0, 13.0, 9.0, 12.0, 3.0, 0.0, 0.0, 0.0, 1.0, 14.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 14.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 1.0, 9.0, 5.0, 0.0, 0.0, 0.0, 0.0, 11.0, 12.0, 13.0, 3.0, 0.0, 0.0], [0.0, 0.0, 5.0, 16.0, 15.0, 3.0, 0.0, 0.0, 0.0, 0.0, 13.0, 15.0, 14.0, 7.0, 0.0, 0.0, 0.0, 0.0, 13.0, 4.0, 13.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 15.0, 9.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 16.0, 16.0, 9.0, 13.0, 3.0, 0.0, 0.0, 5.0, 2.0, 9.0, 16.0, 14.0, 3.0], [0.0, 0.0, 7.0, 16.0, 13.0, 2.0, 0.0, 0.0, 0.0, 0.0, 14.0, 15.0, 13.0, 9.0, 0.0, 0.0, 0.0, 0.0, 14.0, 8.0, 9.0, 10.0, 0.0, 0.0, 0.0, 0.0, 1.0, 2.0, 9.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 6.0, 15.0, 16.0, 5.0, 5.0, 5.0, 0.0, 0.0, 6.0, 16.0, 16.0, 16.0, 16.0, 13.0], [0.0, 0.0, 10.0, 16.0, 15.0, 8.0, 2.0, 0.0, 0.0, 9.0, 16.0, 12.0, 8.0, 9.0, 3.0, 0.0, 0.0, 13.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 7.0, 13.0, 8.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 2.0, 12.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0, 13.0, 16.0, 6.0, 0.0, 0.0, 0.0], [0.0, 0.0, 8.0, 11.0, 8.0, 10.0, 14.0, 8.0, 0.0, 3.0, 15.0, 11.0, 12.0, 16.0, 5.0, 1.0, 0.0, 1.0, 16.0, 0.0, 11.0, 8.0, 0.0, 0.0, 0.0, 0.0, 1.0, 5.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 3.0, 15.0, 16.0, 14.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 7.0, 0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 8.0, 15.0, 9.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 10.0, 16.0, 9.0, 0.0, 0.0, 0.0, 2.0, 6.0, 2.0, 16.0, 16.0, 1.0, 0.0, 0.0, 3.0, 9.0, 9.0, 16.0, 14.0, 0.0, 0.0, 0.0, 0.0, 7.0, 5.0, 12.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 12.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 4.0, 0.0, 0.0, 0.0, 9.0, 13.0, 12.0, 10.0, 1.0, 0.0], [0.0, 0.0, 1.0, 10.0, 16.0, 13.0, 0.0, 0.0, 0.0, 2.0, 15.0, 15.0, 9.0, 6.0, 0.0, 0.0, 0.0, 5.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 14.0, 5.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 13.0, 15.0, 3.0, 0.0, 0.0, 0.0, 1.0, 3.0, 0.0, 11.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 13.0, 10.0, 0.0, 0.0, 0.0, 0.0, 1.0, 14.0, 15.0, 3.0, 0.0, 0.0], [0.0, 0.0, 0.0, 9.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 2.0, 15.0, 8.0, 0.0, 1.0, 7.0, 0.0, 0.0, 9.0, 14.0, 0.0, 2.0, 13.0, 14.0, 0.0, 0.0, 8.0, 16.0, 14.0, 15.0, 16.0, 6.0, 0.0, 0.0, 1.0, 7.0, 8.0, 16.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 12.0, 0.0, 0.0, 0.0], [0.0, 0.0, 15.0, 12.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 9.0, 14.0, 1.0, 0.0, 0.0, 0.0, 0.0, 12.0, 10.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 4.0, 10.0, 7.0, 0.0, 0.0, 0.0, 0.0, 11.0, 14.0, 11.0, 0.0, 0.0, 0.0, 0.0, 1.0, 12.0, 13.0, 11.0, 0.0, 0.0, 0.0, 0.0, 12.0, 6.0, 0.0, 9.0, 4.0, 0.0, 0.0, 0.0, 15.0, 4.0, 5.0, 13.0, 6.0, 0.0], [0.0, 1.0, 14.0, 16.0, 16.0, 11.0, 2.0, 0.0, 0.0, 0.0, 14.0, 9.0, 2.0, 10.0, 11.0, 0.0, 0.0, 0.0, 5.0, 16.0, 5.0, 14.0, 5.0, 0.0, 0.0, 0.0, 0.0, 12.0, 16.0, 16.0, 5.0, 0.0, 0.0, 0.0, 7.0, 14.0, 14.0, 8.0, 0.0, 0.0, 0.0, 1.0, 14.0, 3.0, 6.0, 11.0, 0.0, 0.0, 0.0, 4.0, 8.0, 0.0, 8.0, 11.0, 0.0, 0.0, 0.0, 2.0, 13.0, 12.0, 15.0, 2.0, 0.0, 0.0], [0.0, 0.0, 1.0, 10.0, 15.0, 2.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 7.0, 3.0, 5.0, 0.0, 0.0, 3.0, 16.0, 7.0, 3.0, 16.0, 11.0, 0.0, 0.0, 9.0, 14.0, 1.0, 10.0, 14.0, 2.0, 0.0, 0.0, 11.0, 16.0, 16.0, 16.0, 10.0, 0.0, 0.0, 0.0, 2.0, 4.0, 8.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 9.0, 0.0, 0.0, 0.0], [0.0, 0.0, 2.0, 12.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 15.0, 7.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 1.0, 14.0, 1.0, 0.0, 0.0, 0.0, 10.0, 8.0, 11.0, 13.0, 1.0, 0.0, 0.0, 0.0, 9.0, 14.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 10.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 14.0, 2.0, 0.0, 0.0, 5.0, 14.0, 13.0, 14.0, 10.0, 1.0], [0.0, 0.0, 2.0, 12.0, 12.0, 1.0, 0.0, 0.0, 0.0, 2.0, 12.0, 12.0, 6.0, 11.0, 0.0, 0.0, 0.0, 10.0, 13.0, 0.0, 0.0, 10.0, 2.0, 0.0, 0.0, 8.0, 11.0, 0.0, 0.0, 6.0, 6.0, 0.0, 0.0, 7.0, 9.0, 0.0, 0.0, 4.0, 9.0, 0.0, 0.0, 3.0, 13.0, 0.0, 0.0, 8.0, 12.0, 0.0, 0.0, 0.0, 12.0, 12.0, 9.0, 16.0, 7.0, 0.0, 0.0, 0.0, 1.0, 12.0, 16.0, 9.0, 1.0, 0.0], [0.0, 3.0, 14.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 15.0, 15.0, 3.0, 1.0, 1.0, 0.0, 0.0, 0.0, 6.0, 16.0, 4.0, 13.0, 8.0, 0.0, 0.0, 0.0, 0.0, 14.0, 14.0, 13.0, 1.0, 0.0, 0.0, 0.0, 2.0, 15.0, 13.0, 1.0, 0.0, 0.0, 0.0, 1.0, 14.0, 8.0, 15.0, 0.0, 0.0, 0.0, 0.0, 5.0, 12.0, 0.0, 12.0, 3.0, 0.0, 0.0, 0.0, 2.0, 14.0, 13.0, 15.0, 3.0, 0.0, 0.0], [0.0, 0.0, 15.0, 15.0, 10.0, 2.0, 0.0, 0.0, 0.0, 0.0, 16.0, 5.0, 8.0, 11.0, 0.0, 0.0, 0.0, 0.0, 9.0, 12.0, 1.0, 14.0, 4.0, 0.0, 0.0, 0.0, 6.0, 16.0, 16.0, 15.0, 2.0, 0.0, 0.0, 0.0, 0.0, 4.0, 11.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 11.0, 0.0, 0.0, 0.0, 0.0, 10.0, 12.0, 13.0, 11.0, 0.0, 0.0], [0.0, 3.0, 16.0, 9.0, 2.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 13.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 11.0, 14.0, 10.0, 6.0, 0.0, 0.0, 0.0, 2.0, 15.0, 16.0, 10.0, 2.0, 0.0, 0.0, 0.0, 6.0, 14.0, 15.0, 1.0, 0.0, 0.0, 0.0, 3.0, 15.0, 4.0, 9.0, 7.0, 0.0, 0.0, 0.0, 6.0, 13.0, 1.0, 10.0, 9.0, 0.0, 0.0, 0.0, 2.0, 11.0, 12.0, 14.0, 4.0, 0.0, 0.0], [0.0, 0.0, 4.0, 14.0, 14.0, 2.0, 0.0, 0.0, 0.0, 5.0, 16.0, 11.0, 7.0, 10.0, 0.0, 0.0, 0.0, 4.0, 16.0, 4.0, 0.0, 11.0, 1.0, 0.0, 0.0, 7.0, 14.0, 1.0, 0.0, 7.0, 5.0, 0.0, 0.0, 4.0, 10.0, 0.0, 0.0, 7.0, 7.0, 0.0, 0.0, 1.0, 12.0, 0.0, 0.0, 12.0, 3.0, 0.0, 0.0, 0.0, 9.0, 6.0, 6.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 14.0, 4.0, 0.0, 0.0], [0.0, 0.0, 0.0, 5.0, 15.0, 13.0, 1.0, 0.0, 0.0, 0.0, 2.0, 14.0, 16.0, 14.0, 0.0, 0.0, 0.0, 1.0, 13.0, 16.0, 16.0, 12.0, 0.0, 0.0, 0.0, 9.0, 16.0, 14.0, 16.0, 6.0, 0.0, 0.0, 0.0, 3.0, 5.0, 6.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 15.0, 13.0, 1.0, 0.0], [0.0, 2.0, 14.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 12.0, 14.0, 12.0, 15.0, 0.0, 0.0, 0.0, 0.0, 11.0, 2.0, 8.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 14.0, 13.0, 8.0, 8.0, 7.0, 0.0, 0.0, 2.0, 15.0, 16.0, 16.0, 15.0, 8.0, 0.0], [0.0, 1.0, 9.0, 15.0, 16.0, 6.0, 0.0, 0.0, 0.0, 13.0, 15.0, 10.0, 16.0, 11.0, 0.0, 0.0, 0.0, 5.0, 3.0, 4.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 13.0, 15.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 13.0, 11.0, 0.0, 0.0, 0.0, 12.0, 5.0, 3.0, 13.0, 14.0, 0.0, 0.0, 0.0, 10.0, 16.0, 16.0, 14.0, 5.0, 0.0], [0.0, 0.0, 0.0, 8.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 1.0, 14.0, 10.0, 0.0, 7.0, 7.0, 0.0, 0.0, 5.0, 16.0, 3.0, 1.0, 16.0, 7.0, 0.0, 0.0, 8.0, 16.0, 11.0, 13.0, 16.0, 3.0, 0.0, 0.0, 1.0, 11.0, 15.0, 16.0, 13.0, 3.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 10.0, 0.0, 0.0, 0.0], [0.0, 0.0, 5.0, 12.0, 16.0, 9.0, 0.0, 0.0, 0.0, 7.0, 16.0, 10.0, 3.0, 0.0, 0.0, 0.0, 0.0, 8.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 14.0, 4.0, 6.0, 0.0, 0.0, 0.0, 0.0, 4.0, 14.0, 12.0, 13.0, 13.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 15.0, 7.0, 0.0, 0.0, 0.0, 4.0, 12.0, 13.0, 8.0, 0.0, 0.0], [0.0, 0.0, 6.0, 15.0, 4.0, 0.0, 0.0, 0.0, 0.0, 1.0, 14.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 11.0, 0.0, 2.0, 1.0, 0.0, 0.0, 0.0, 4.0, 13.0, 12.0, 16.0, 13.0, 3.0, 0.0, 0.0, 1.0, 16.0, 2.0, 1.0, 8.0, 10.0, 0.0, 0.0, 0.0, 12.0, 4.0, 0.0, 11.0, 12.0, 0.0, 0.0, 0.0, 4.0, 13.0, 12.0, 14.0, 2.0, 0.0], [0.0, 0.0, 8.0, 14.0, 16.0, 16.0, 2.0, 0.0, 0.0, 0.0, 11.0, 6.0, 7.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 12.0, 0.0, 0.0, 0.0, 1.0, 11.0, 16.0, 16.0, 16.0, 12.0, 0.0, 0.0, 2.0, 12.0, 13.0, 13.0, 2.0, 0.0, 0.0, 0.0, 0.0, 1.0, 14.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 7.0, 0.0, 0.0, 0.0, 0.0], [0.0, 1.0, 10.0, 9.0, 11.0, 5.0, 0.0, 0.0, 1.0, 14.0, 8.0, 1.0, 2.0, 11.0, 0.0, 0.0, 0.0, 14.0, 3.0, 0.0, 11.0, 5.0, 0.0, 0.0, 0.0, 2.0, 12.0, 12.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 15.0, 14.0, 4.0, 0.0, 0.0, 0.0, 0.0, 11.0, 5.0, 1.0, 12.0, 2.0, 0.0, 0.0, 0.0, 13.0, 0.0, 0.0, 14.0, 2.0, 0.0, 0.0, 0.0, 9.0, 13.0, 16.0, 9.0, 0.0, 0.0], [0.0, 0.0, 9.0, 16.0, 15.0, 3.0, 0.0, 0.0, 0.0, 6.0, 16.0, 11.0, 10.0, 12.0, 0.0, 0.0, 0.0, 7.0, 15.0, 1.0, 1.0, 15.0, 5.0, 0.0, 0.0, 3.0, 16.0, 6.0, 9.0, 16.0, 9.0, 0.0, 0.0, 0.0, 5.0, 11.0, 13.0, 14.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 11.0, 0.0, 0.0, 0.0, 10.0, 16.0, 16.0, 15.0, 6.0, 0.0], [0.0, 0.0, 3.0, 14.0, 9.0, 3.0, 0.0, 0.0, 0.0, 0.0, 11.0, 13.0, 8.0, 14.0, 2.0, 0.0, 0.0, 2.0, 16.0, 3.0, 0.0, 9.0, 4.0, 0.0, 0.0, 5.0, 12.0, 0.0, 0.0, 4.0, 8.0, 0.0, 0.0, 8.0, 8.0, 0.0, 0.0, 7.0, 8.0, 0.0, 0.0, 5.0, 11.0, 0.0, 2.0, 15.0, 3.0, 0.0, 0.0, 0.0, 14.0, 5.0, 13.0, 7.0, 0.0, 0.0, 0.0, 0.0, 5.0, 14.0, 5.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 0.0, 13.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 14.0, 0.0, 0.0, 0.0, 1.0, 12.0, 16.0, 16.0, 11.0, 0.0, 0.0, 0.0, 11.0, 16.0, 12.0, 16.0, 8.0, 0.0, 0.0, 0.0, 6.0, 4.0, 7.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 11.0, 0.0, 0.0], [0.0, 0.0, 11.0, 16.0, 12.0, 1.0, 0.0, 0.0, 0.0, 3.0, 16.0, 9.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 6.0, 1.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 15.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 4.0, 5.0, 8.0, 1.0, 0.0, 0.0, 13.0, 16.0, 16.0, 16.0, 16.0, 6.0], [0.0, 0.0, 7.0, 14.0, 16.0, 13.0, 1.0, 0.0, 0.0, 9.0, 15.0, 8.0, 10.0, 16.0, 7.0, 0.0, 0.0, 5.0, 1.0, 0.0, 14.0, 14.0, 1.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 7.0, 0.0, 0.0, 0.0, 9.0, 7.0, 6.0, 16.0, 9.0, 0.0, 0.0, 0.0, 5.0, 15.0, 16.0, 11.0, 3.0, 0.0], [0.0, 0.0, 0.0, 1.0, 15.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 15.0, 3.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 5.0, 3.0, 6.0, 0.0, 0.0, 5.0, 16.0, 8.0, 0.0, 12.0, 13.0, 0.0, 0.0, 12.0, 14.0, 4.0, 8.0, 16.0, 9.0, 0.0, 0.0, 12.0, 16.0, 16.0, 16.0, 16.0, 0.0, 0.0, 0.0, 0.0, 4.0, 2.0, 14.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 9.0, 0.0, 0.0], [0.0, 1.0, 12.0, 16.0, 16.0, 15.0, 0.0, 0.0, 0.0, 7.0, 16.0, 9.0, 4.0, 3.0, 0.0, 0.0, 0.0, 10.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 15.0, 8.0, 7.0, 1.0, 0.0, 0.0, 0.0, 2.0, 13.0, 16.0, 16.0, 15.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 14.0, 0.0, 0.0, 0.0, 2.0, 7.0, 13.0, 16.0, 9.0, 0.0, 0.0, 0.0, 14.0, 16.0, 12.0, 5.0, 0.0, 0.0], [0.0, 0.0, 3.0, 13.0, 16.0, 7.0, 0.0, 0.0, 0.0, 1.0, 12.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 10.0, 11.0, 4.0, 0.0, 0.0, 0.0, 6.0, 16.0, 14.0, 13.0, 16.0, 3.0, 0.0, 0.0, 1.0, 11.0, 11.0, 2.0, 14.0, 10.0, 0.0, 0.0, 0.0, 2.0, 15.0, 16.0, 15.0, 6.0, 0.0], [0.0, 0.0, 5.0, 13.0, 16.0, 16.0, 6.0, 0.0, 0.0, 0.0, 12.0, 6.0, 4.0, 13.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 15.0, 3.0, 0.0, 0.0, 0.0, 0.0, 2.0, 10.0, 13.0, 2.0, 0.0, 0.0, 2.0, 12.0, 16.0, 16.0, 12.0, 5.0, 0.0, 0.0, 1.0, 6.0, 9.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 11.0, 0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 10.0, 16.0, 16.0, 8.0, 0.0, 0.0, 0.0, 5.0, 16.0, 6.0, 7.0, 14.0, 0.0, 0.0, 0.0, 3.0, 16.0, 3.0, 13.0, 9.0, 0.0, 0.0, 0.0, 0.0, 13.0, 15.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 15.0, 6.0, 0.0, 0.0, 0.0, 0.0, 1.0, 15.0, 12.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 10.0, 0.0, 0.0, 0.0], [0.0, 0.0, 8.0, 16.0, 10.0, 2.0, 0.0, 0.0, 0.0, 0.0, 12.0, 13.0, 14.0, 11.0, 0.0, 0.0, 0.0, 0.0, 10.0, 13.0, 8.0, 16.0, 2.0, 0.0, 0.0, 0.0, 4.0, 15.0, 15.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 3.0, 8.0, 11.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 4.0, 0.0, 0.0, 1.0, 2.0, 2.0, 7.0, 16.0, 5.0, 0.0, 0.0, 3.0, 14.0, 16.0, 16.0, 11.0, 1.0], [0.0, 0.0, 7.0, 11.0, 3.0, 1.0, 0.0, 0.0, 0.0, 1.0, 14.0, 16.0, 13.0, 13.0, 0.0, 0.0, 0.0, 3.0, 16.0, 12.0, 1.0, 6.0, 6.0, 0.0, 0.0, 4.0, 10.0, 4.0, 0.0, 4.0, 8.0, 0.0, 0.0, 8.0, 8.0, 0.0, 0.0, 11.0, 5.0, 0.0, 0.0, 7.0, 9.0, 0.0, 2.0, 14.0, 0.0, 0.0, 0.0, 1.0, 12.0, 4.0, 12.0, 10.0, 0.0, 0.0, 0.0, 0.0, 6.0, 14.0, 9.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 8.0, 13.0, 3.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 16.0, 8.0, 0.0, 0.0, 0.0, 12.0, 16.0, 16.0, 16.0, 2.0, 0.0, 0.0, 0.0, 9.0, 9.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 15.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 13.0, 2.0, 0.0, 0.0], [0.0, 2.0, 10.0, 14.0, 16.0, 12.0, 0.0, 0.0, 0.0, 10.0, 12.0, 7.0, 10.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 15.0, 12.0, 16.0, 10.0, 0.0, 0.0, 1.0, 16.0, 13.0, 9.0, 3.0, 0.0, 0.0], [0.0, 1.0, 8.0, 10.0, 14.0, 10.0, 0.0, 0.0, 0.0, 12.0, 10.0, 6.0, 6.0, 16.0, 2.0, 0.0, 0.0, 3.0, 0.0, 0.0, 7.0, 14.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 12.0, 0.0, 0.0, 0.0, 4.0, 0.0, 2.0, 11.0, 9.0, 0.0, 0.0, 0.0, 12.0, 16.0, 14.0, 12.0, 4.0, 0.0], [0.0, 0.0, 0.0, 11.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 10.0, 4.0, 11.0, 0.0, 0.0, 0.0, 11.0, 13.0, 0.0, 9.0, 16.0, 0.0, 0.0, 0.0, 12.0, 13.0, 5.0, 14.0, 16.0, 8.0, 0.0, 0.0, 3.0, 12.0, 14.0, 16.0, 11.0, 3.0, 0.0, 0.0, 0.0, 0.0, 10.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 8.0, 0.0, 0.0, 0.0], [0.0, 5.0, 15.0, 12.0, 12.0, 12.0, 4.0, 0.0, 0.0, 10.0, 14.0, 12.0, 12.0, 9.0, 7.0, 0.0, 0.0, 12.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 15.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 4.0, 0.0, 0.0, 0.0, 0.0, 1.0, 7.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 4.0, 15.0, 12.0, 0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 6.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 10.0, 12.0, 9.0, 2.0, 0.0, 0.0, 0.0, 13.0, 8.0, 2.0, 5.0, 13.0, 0.0, 0.0, 0.0, 6.0, 11.0, 1.0, 2.0, 16.0, 3.0, 0.0, 0.0, 0.0, 8.0, 11.0, 14.0, 11.0, 2.0], [0.0, 0.0, 2.0, 9.0, 14.0, 16.0, 15.0, 0.0, 0.0, 3.0, 16.0, 13.0, 8.0, 10.0, 16.0, 0.0, 0.0, 1.0, 2.0, 0.0, 0.0, 11.0, 9.0, 0.0, 0.0, 0.0, 3.0, 11.0, 12.0, 16.0, 11.0, 0.0, 0.0, 0.0, 12.0, 14.0, 16.0, 12.0, 2.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 5.0, 0.0, 0.0, 0.0], [0.0, 1.0, 12.0, 15.0, 16.0, 13.0, 1.0, 0.0, 0.0, 4.0, 16.0, 15.0, 7.0, 15.0, 4.0, 0.0, 0.0, 0.0, 16.0, 6.0, 11.0, 15.0, 2.0, 0.0, 0.0, 0.0, 9.0, 16.0, 15.0, 4.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 15.0, 11.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 10.0, 12.0, 0.0, 0.0, 0.0, 0.0, 2.0, 13.0, 16.0, 10.0, 0.0, 0.0, 0.0], [0.0, 0.0, 13.0, 14.0, 9.0, 1.0, 0.0, 0.0, 0.0, 5.0, 16.0, 12.0, 12.0, 12.0, 1.0, 0.0, 0.0, 6.0, 16.0, 2.0, 2.0, 16.0, 5.0, 0.0, 0.0, 3.0, 16.0, 5.0, 3.0, 16.0, 9.0, 0.0, 0.0, 0.0, 9.0, 16.0, 16.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 6.0, 7.0, 15.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 5.0, 0.0, 0.0, 0.0, 10.0, 16.0, 16.0, 12.0, 0.0, 0.0], [0.0, 0.0, 9.0, 14.0, 15.0, 6.0, 0.0, 0.0, 0.0, 2.0, 16.0, 12.0, 1.0, 13.0, 0.0, 0.0, 0.0, 3.0, 12.0, 7.0, 0.0, 8.0, 4.0, 0.0, 0.0, 6.0, 11.0, 4.0, 0.0, 7.0, 2.0, 0.0, 0.0, 4.0, 9.0, 0.0, 0.0, 12.0, 1.0, 0.0, 0.0, 3.0, 9.0, 0.0, 4.0, 11.0, 0.0, 0.0, 0.0, 1.0, 12.0, 5.0, 12.0, 3.0, 0.0, 0.0, 0.0, 0.0, 6.0, 14.0, 5.0, 0.0, 0.0, 0.0], [0.0, 1.0, 9.0, 15.0, 13.0, 4.0, 0.0, 0.0, 0.0, 8.0, 12.0, 4.0, 8.0, 8.0, 0.0, 0.0, 0.0, 9.0, 11.0, 0.0, 5.0, 16.0, 3.0, 0.0, 0.0, 4.0, 13.0, 8.0, 16.0, 16.0, 6.0, 0.0, 0.0, 0.0, 4.0, 8.0, 2.0, 11.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 8.0, 0.0, 0.0, 0.0, 7.0, 0.0, 3.0, 14.0, 6.0, 0.0, 0.0, 0.0, 7.0, 16.0, 14.0, 8.0, 0.0, 0.0], [0.0, 1.0, 7.0, 14.0, 16.0, 12.0, 1.0, 0.0, 0.0, 7.0, 16.0, 9.0, 6.0, 11.0, 1.0, 0.0, 0.0, 11.0, 12.0, 4.0, 1.0, 0.0, 0.0, 0.0, 0.0, 12.0, 16.0, 16.0, 15.0, 6.0, 0.0, 0.0, 0.0, 3.0, 9.0, 4.0, 11.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 13.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 15.0, 3.0, 0.0, 0.0], [0.0, 3.0, 16.0, 13.0, 15.0, 16.0, 11.0, 0.0, 0.0, 5.0, 16.0, 14.0, 12.0, 8.0, 10.0, 0.0, 0.0, 2.0, 16.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 11.0, 0.0, 0.0, 0.0, 3.0, 6.0, 8.0, 16.0, 7.0, 0.0, 0.0, 0.0, 2.0, 15.0, 15.0, 9.0, 0.0, 0.0, 0.0], [0.0, 0.0, 2.0, 14.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 8.0, 4.0, 2.0, 0.0, 0.0, 0.0, 4.0, 16.0, 16.0, 16.0, 15.0, 3.0, 0.0, 0.0, 2.0, 16.0, 12.0, 4.0, 6.0, 16.0, 2.0, 0.0, 0.0, 13.0, 8.0, 3.0, 6.0, 16.0, 6.0, 0.0, 0.0, 2.0, 13.0, 14.0, 16.0, 12.0, 1.0], [0.0, 3.0, 14.0, 14.0, 16.0, 16.0, 10.0, 0.0, 0.0, 9.0, 15.0, 9.0, 7.0, 1.0, 0.0, 0.0, 0.0, 10.0, 16.0, 11.0, 1.0, 0.0, 0.0, 0.0, 0.0, 1.0, 7.0, 14.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 15.0, 0.0, 0.0, 0.0, 0.0, 1.0, 1.0, 11.0, 10.0, 0.0, 0.0, 0.0, 0.0, 3.0, 15.0, 16.0, 4.0, 0.0, 0.0, 0.0], [0.0, 0.0, 7.0, 14.0, 16.0, 13.0, 1.0, 0.0, 0.0, 0.0, 15.0, 13.0, 3.0, 13.0, 8.0, 0.0, 0.0, 6.0, 15.0, 2.0, 0.0, 8.0, 8.0, 0.0, 0.0, 6.0, 16.0, 0.0, 0.0, 6.0, 11.0, 0.0, 0.0, 9.0, 13.0, 0.0, 0.0, 13.0, 9.0, 0.0, 0.0, 5.0, 15.0, 0.0, 5.0, 16.0, 5.0, 0.0, 0.0, 4.0, 16.0, 9.0, 16.0, 12.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 12.0, 3.0, 0.0, 0.0], [0.0, 0.0, 6.0, 12.0, 14.0, 4.0, 0.0, 0.0, 0.0, 2.0, 15.0, 2.0, 1.0, 15.0, 0.0, 0.0, 0.0, 2.0, 14.0, 0.0, 3.0, 16.0, 2.0, 0.0, 0.0, 0.0, 13.0, 5.0, 14.0, 14.0, 6.0, 0.0, 0.0, 0.0, 2.0, 8.0, 4.0, 7.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 9.0, 0.0, 0.0, 0.0, 5.0, 0.0, 5.0, 14.0, 3.0, 0.0, 0.0, 0.0, 7.0, 13.0, 12.0, 4.0, 0.0, 0.0], [0.0, 1.0, 13.0, 9.0, 8.0, 13.0, 2.0, 0.0, 0.0, 10.0, 7.0, 0.0, 0.0, 12.0, 2.0, 0.0, 0.0, 9.0, 6.0, 0.0, 9.0, 6.0, 0.0, 0.0, 0.0, 1.0, 13.0, 10.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 2.0, 12.0, 5.0, 12.0, 1.0, 0.0, 0.0, 0.0, 4.0, 9.0, 0.0, 9.0, 5.0, 0.0, 0.0, 0.0, 1.0, 12.0, 11.0, 8.0, 0.0, 0.0, 0.0], [0.0, 1.0, 7.0, 14.0, 10.0, 0.0, 0.0, 0.0, 0.0, 10.0, 12.0, 5.0, 9.0, 7.0, 0.0, 0.0, 0.0, 10.0, 6.0, 0.0, 6.0, 15.0, 0.0, 0.0, 0.0, 5.0, 11.0, 11.0, 14.0, 15.0, 1.0, 0.0, 0.0, 0.0, 2.0, 7.0, 1.0, 10.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 5.0, 0.0, 0.0, 0.0, 5.0, 3.0, 0.0, 13.0, 5.0, 0.0, 0.0, 0.0, 4.0, 14.0, 14.0, 12.0, 2.0, 0.0], [0.0, 0.0, 13.0, 14.0, 12.0, 15.0, 4.0, 0.0, 0.0, 0.0, 16.0, 5.0, 5.0, 16.0, 5.0, 0.0, 0.0, 0.0, 13.0, 7.0, 15.0, 4.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 2.0, 13.0, 10.0, 6.0, 0.0, 0.0, 0.0, 0.0, 8.0, 5.0, 1.0, 15.0, 0.0, 0.0, 0.0, 0.0, 5.0, 8.0, 1.0, 16.0, 0.0, 0.0, 0.0, 0.0, 1.0, 10.0, 16.0, 8.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 3.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 2.0, 5.0, 12.0, 0.0, 0.0, 3.0, 15.0, 8.0, 0.0, 11.0, 13.0, 0.0, 0.0, 9.0, 16.0, 4.0, 7.0, 16.0, 8.0, 0.0, 0.0, 9.0, 16.0, 16.0, 16.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 9.0, 0.0, 0.0], [0.0, 0.0, 7.0, 16.0, 13.0, 4.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 14.0, 1.0, 0.0, 0.0, 0.0, 0.0, 4.0, 12.0, 14.0, 8.0, 0.0, 0.0], [0.0, 0.0, 12.0, 16.0, 16.0, 12.0, 0.0, 0.0, 0.0, 0.0, 6.0, 4.0, 10.0, 13.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 9.0, 0.0, 0.0, 0.0, 0.0, 5.0, 9.0, 16.0, 16.0, 12.0, 0.0, 0.0, 3.0, 16.0, 16.0, 11.0, 3.0, 0.0, 0.0, 0.0, 0.0, 7.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0], [0.0, 1.0, 9.0, 12.0, 16.0, 16.0, 4.0, 0.0, 0.0, 1.0, 11.0, 8.0, 7.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 13.0, 0.0, 0.0, 0.0, 0.0, 5.0, 11.0, 15.0, 15.0, 9.0, 0.0, 0.0, 0.0, 16.0, 15.0, 13.0, 5.0, 2.0, 0.0, 0.0, 0.0, 2.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 14.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 10.0, 0.0, 0.0, 0.0, 0.0], [0.0, 2.0, 10.0, 15.0, 16.0, 16.0, 14.0, 0.0, 0.0, 7.0, 11.0, 4.0, 6.0, 15.0, 9.0, 0.0, 0.0, 0.0, 0.0, 6.0, 15.0, 12.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 15.0, 2.0, 0.0, 0.0, 0.0, 0.0, 1.0, 6.0, 16.0, 2.0, 0.0, 0.0, 0.0, 1.0, 16.0, 16.0, 6.0, 0.0, 0.0, 0.0], [0.0, 0.0, 2.0, 12.0, 16.0, 16.0, 7.0, 0.0, 0.0, 0.0, 10.0, 13.0, 7.0, 8.0, 3.0, 0.0, 0.0, 2.0, 15.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 14.0, 7.0, 5.0, 1.0, 0.0, 0.0, 0.0, 5.0, 16.0, 16.0, 16.0, 15.0, 6.0, 0.0, 0.0, 0.0, 4.0, 4.0, 4.0, 14.0, 8.0, 0.0, 0.0, 0.0, 0.0, 4.0, 7.0, 14.0, 5.0, 0.0, 0.0, 0.0, 2.0, 15.0, 15.0, 5.0, 0.0, 0.0], [0.0, 0.0, 0.0, 4.0, 15.0, 12.0, 0.0, 0.0, 0.0, 0.0, 5.0, 15.0, 16.0, 11.0, 0.0, 0.0, 0.0, 8.0, 16.0, 16.0, 16.0, 4.0, 0.0, 0.0, 0.0, 14.0, 11.0, 11.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 5.0, 0.0, 0.0], [0.0, 2.0, 8.0, 15.0, 16.0, 10.0, 0.0, 0.0, 0.0, 11.0, 16.0, 10.0, 4.0, 15.0, 1.0, 0.0, 0.0, 12.0, 13.0, 0.0, 0.0, 13.0, 5.0, 0.0, 0.0, 11.0, 13.0, 0.0, 0.0, 15.0, 7.0, 0.0, 0.0, 8.0, 16.0, 0.0, 0.0, 15.0, 6.0, 0.0, 0.0, 6.0, 16.0, 1.0, 5.0, 16.0, 2.0, 0.0, 0.0, 2.0, 16.0, 6.0, 15.0, 12.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 14.0, 1.0, 0.0, 0.0], [0.0, 0.0, 8.0, 15.0, 16.0, 11.0, 0.0, 0.0, 0.0, 2.0, 16.0, 10.0, 4.0, 14.0, 4.0, 0.0, 0.0, 6.0, 16.0, 2.0, 0.0, 8.0, 8.0, 0.0, 0.0, 10.0, 12.0, 0.0, 0.0, 11.0, 6.0, 0.0, 0.0, 9.0, 11.0, 0.0, 0.0, 15.0, 6.0, 0.0, 0.0, 8.0, 12.0, 0.0, 7.0, 15.0, 1.0, 0.0, 0.0, 2.0, 15.0, 7.0, 15.0, 9.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 12.0, 1.0, 0.0, 0.0], [0.0, 1.0, 13.0, 16.0, 15.0, 6.0, 0.0, 0.0, 0.0, 10.0, 15.0, 9.0, 11.0, 15.0, 0.0, 0.0, 0.0, 7.0, 9.0, 0.0, 12.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0, 2.0, 15.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 10.0, 9.0, 16.0, 2.0, 0.0, 0.0, 13.0, 16.0, 15.0, 11.0, 4.0, 0.0], [0.0, 0.0, 9.0, 16.0, 15.0, 3.0, 0.0, 0.0, 0.0, 7.0, 15.0, 7.0, 16.0, 7.0, 0.0, 0.0, 0.0, 2.0, 2.0, 0.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 3.0, 3.0, 5.0, 0.0, 0.0, 0.0, 11.0, 14.0, 10.0, 16.0, 6.0, 0.0, 0.0, 0.0, 11.0, 16.0, 13.0, 5.0, 0.0, 0.0], [0.0, 0.0, 3.0, 12.0, 16.0, 13.0, 0.0, 0.0, 0.0, 1.0, 14.0, 9.0, 10.0, 13.0, 0.0, 0.0, 0.0, 0.0, 2.0, 0.0, 10.0, 10.0, 0.0, 0.0, 0.0, 0.0, 3.0, 7.0, 15.0, 16.0, 10.0, 0.0, 0.0, 0.0, 16.0, 16.0, 15.0, 3.0, 0.0, 0.0, 0.0, 0.0, 3.0, 13.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 15.0, 0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 5.0, 12.0, 16.0, 10.0, 0.0, 0.0, 0.0, 6.0, 16.0, 13.0, 3.0, 15.0, 1.0, 0.0, 0.0, 11.0, 8.0, 5.0, 5.0, 10.0, 0.0, 0.0, 0.0, 4.0, 11.0, 2.0, 12.0, 2.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 15.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 13.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 15.0, 4.0, 0.0, 0.0, 0.0], [0.0, 4.0, 15.0, 16.0, 13.0, 1.0, 0.0, 0.0, 0.0, 9.0, 14.0, 10.0, 16.0, 6.0, 0.0, 0.0, 0.0, 1.0, 1.0, 6.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 14.0, 1.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 9.0, 8.0, 8.0, 10.0, 0.0, 0.0, 4.0, 15.0, 16.0, 16.0, 16.0, 9.0, 0.0], [0.0, 0.0, 6.0, 14.0, 13.0, 1.0, 0.0, 0.0, 0.0, 3.0, 16.0, 10.0, 5.0, 11.0, 0.0, 0.0, 0.0, 5.0, 16.0, 0.0, 0.0, 13.0, 0.0, 0.0, 0.0, 6.0, 12.0, 0.0, 0.0, 12.0, 3.0, 0.0, 0.0, 7.0, 12.0, 0.0, 0.0, 13.0, 3.0, 0.0, 0.0, 3.0, 11.0, 0.0, 5.0, 12.0, 0.0, 0.0, 0.0, 0.0, 13.0, 4.0, 15.0, 4.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 6.0, 0.0, 0.0, 0.0], [0.0, 0.0, 1.0, 16.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 11.0, 0.0, 0.0, 0.0], [0.0, 1.0, 10.0, 15.0, 15.0, 5.0, 0.0, 0.0, 0.0, 11.0, 16.0, 9.0, 12.0, 10.0, 0.0, 0.0, 0.0, 15.0, 6.0, 0.0, 14.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 1.0, 15.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 1.0, 15.0, 11.0, 8.0, 12.0, 14.0, 1.0, 0.0, 1.0, 15.0, 16.0, 16.0, 12.0, 5.0, 0.0], [0.0, 0.0, 0.0, 14.0, 13.0, 1.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 1.0, 15.0, 16.0, 14.0, 1.0, 0.0, 0.0, 0.0, 4.0, 16.0, 12.0, 8.0, 12.0, 7.0, 0.0, 0.0, 2.0, 15.0, 8.0, 0.0, 8.0, 16.0, 2.0, 0.0, 0.0, 10.0, 14.0, 9.0, 15.0, 15.0, 1.0, 0.0, 0.0, 1.0, 14.0, 16.0, 14.0, 2.0, 0.0], [0.0, 2.0, 9.0, 15.0, 16.0, 15.0, 2.0, 0.0, 0.0, 11.0, 11.0, 5.0, 9.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 12.0, 0.0, 0.0, 0.0, 5.0, 3.0, 6.0, 15.0, 7.0, 0.0, 0.0, 0.0, 12.0, 16.0, 15.0, 9.0, 1.0, 0.0], [0.0, 0.0, 8.0, 14.0, 16.0, 13.0, 1.0, 0.0, 0.0, 10.0, 9.0, 4.0, 6.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 1.0, 10.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 14.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 13.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 13.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 4.0, 0.0, 0.0, 0.0, 14.0, 16.0, 13.0, 9.0, 0.0, 0.0], [0.0, 0.0, 4.0, 11.0, 16.0, 16.0, 2.0, 0.0, 0.0, 0.0, 8.0, 8.0, 9.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 12.0, 3.0, 0.0, 0.0, 6.0, 15.0, 16.0, 16.0, 15.0, 6.0, 0.0, 0.0, 3.0, 7.0, 11.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 12.0, 0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 9.0, 14.0, 16.0, 16.0, 2.0, 0.0, 0.0, 7.0, 15.0, 7.0, 4.0, 14.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 15.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 12.0, 0.0, 0.0, 0.0, 0.0, 15.0, 2.0, 8.0, 14.0, 0.0, 0.0, 0.0, 0.0, 10.0, 15.0, 12.0, 3.0, 0.0, 0.0], [0.0, 2.0, 13.0, 16.0, 16.0, 15.0, 4.0, 0.0, 0.0, 7.0, 12.0, 8.0, 8.0, 16.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 15.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 11.0, 0.0, 0.0, 0.0, 4.0, 4.0, 7.0, 16.0, 10.0, 0.0, 0.0, 2.0, 15.0, 16.0, 16.0, 12.0, 1.0, 0.0], [0.0, 0.0, 0.0, 1.0, 14.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 12.0, 1.0, 0.0, 0.0, 0.0, 0.0, 5.0, 15.0, 1.0, 0.0, 2.0, 4.0, 0.0, 0.0, 14.0, 7.0, 0.0, 0.0, 13.0, 10.0, 0.0, 0.0, 15.0, 16.0, 16.0, 16.0, 16.0, 5.0, 0.0, 0.0, 3.0, 8.0, 8.0, 15.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 15.0, 2.0, 0.0, 0.0], [0.0, 0.0, 0.0, 9.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 15.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 8.0, 4.0, 3.0, 0.0, 0.0, 0.0, 0.0, 14.0, 16.0, 12.0, 14.0, 5.0, 0.0, 0.0, 0.0, 12.0, 10.0, 0.0, 4.0, 13.0, 0.0, 0.0, 0.0, 9.0, 11.0, 0.0, 6.0, 16.0, 1.0, 0.0, 0.0, 0.0, 8.0, 14.0, 15.0, 8.0, 0.0], [0.0, 0.0, 0.0, 14.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 15.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 16.0, 16.0, 10.0, 1.0, 0.0, 0.0, 2.0, 16.0, 12.0, 4.0, 11.0, 12.0, 0.0, 0.0, 0.0, 10.0, 14.0, 6.0, 14.0, 15.0, 0.0, 0.0, 0.0, 1.0, 13.0, 16.0, 16.0, 10.0, 0.0], [0.0, 0.0, 0.0, 13.0, 15.0, 2.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 11.0, 1.0, 0.0, 0.0, 0.0, 0.0, 13.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 14.0, 15.0, 8.0, 0.0, 0.0, 0.0, 1.0, 16.0, 15.0, 8.0, 13.0, 9.0, 0.0, 0.0, 0.0, 11.0, 10.0, 0.0, 11.0, 16.0, 0.0, 0.0, 0.0, 2.0, 14.0, 16.0, 16.0, 13.0, 0.0], [0.0, 0.0, 0.0, 4.0, 15.0, 7.0, 0.0, 0.0, 0.0, 0.0, 3.0, 15.0, 12.0, 0.0, 0.0, 0.0, 0.0, 1.0, 14.0, 12.0, 0.0, 2.0, 11.0, 0.0, 0.0, 10.0, 14.0, 0.0, 0.0, 13.0, 12.0, 0.0, 0.0, 11.0, 15.0, 12.0, 15.0, 16.0, 5.0, 0.0, 0.0, 4.0, 10.0, 8.0, 16.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 14.0, 0.0, 0.0, 0.0], [0.0, 0.0, 9.0, 16.0, 10.0, 2.0, 0.0, 0.0, 0.0, 0.0, 16.0, 14.0, 11.0, 10.0, 0.0, 0.0, 0.0, 1.0, 16.0, 9.0, 12.0, 15.0, 0.0, 0.0, 0.0, 0.0, 7.0, 15.0, 16.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 10.0, 6.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 15.0, 9.0, 0.0, 0.0, 0.0, 0.0, 1.0, 7.0, 16.0, 8.0, 0.0, 0.0, 0.0, 6.0, 16.0, 16.0, 14.0, 1.0, 0.0], [0.0, 0.0, 6.0, 16.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 16.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 15.0, 16.0, 3.0, 0.0, 0.0], [0.0, 0.0, 10.0, 12.0, 16.0, 16.0, 8.0, 0.0, 0.0, 4.0, 16.0, 16.0, 11.0, 5.0, 4.0, 0.0, 0.0, 10.0, 12.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 14.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 10.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 4.0, 8.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 13.0, 16.0, 11.0, 0.0, 0.0, 0.0], [0.0, 0.0, 7.0, 5.0, 14.0, 13.0, 0.0, 0.0, 0.0, 0.0, 16.0, 15.0, 6.0, 9.0, 2.0, 0.0, 0.0, 4.0, 16.0, 7.0, 0.0, 4.0, 4.0, 0.0, 0.0, 6.0, 12.0, 1.0, 0.0, 5.0, 7.0, 0.0, 0.0, 8.0, 7.0, 0.0, 0.0, 12.0, 3.0, 0.0, 0.0, 4.0, 8.0, 0.0, 4.0, 12.0, 0.0, 0.0, 0.0, 2.0, 12.0, 5.0, 15.0, 4.0, 0.0, 0.0, 0.0, 0.0, 6.0, 15.0, 6.0, 0.0, 0.0, 0.0], [0.0, 0.0, 9.0, 16.0, 16.0, 7.0, 0.0, 0.0, 0.0, 2.0, 16.0, 11.0, 4.0, 15.0, 2.0, 0.0, 0.0, 4.0, 16.0, 2.0, 2.0, 16.0, 6.0, 0.0, 0.0, 0.0, 13.0, 11.0, 13.0, 16.0, 10.0, 0.0, 0.0, 0.0, 1.0, 10.0, 13.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 2.0, 13.0, 14.0, 1.0, 0.0, 0.0, 0.0, 11.0, 15.0, 15.0, 6.0, 0.0, 0.0], [0.0, 0.0, 9.0, 16.0, 16.0, 7.0, 0.0, 0.0, 0.0, 7.0, 16.0, 12.0, 7.0, 11.0, 2.0, 0.0, 0.0, 13.0, 13.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 10.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 12.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 3.0, 0.0, 0.0, 0.0, 1.0, 0.0, 11.0, 16.0, 1.0, 0.0, 0.0, 0.0, 7.0, 16.0, 16.0, 6.0, 0.0, 0.0], [0.0, 2.0, 11.0, 16.0, 15.0, 6.0, 0.0, 0.0, 0.0, 11.0, 15.0, 9.0, 14.0, 13.0, 0.0, 0.0, 0.0, 7.0, 1.0, 0.0, 13.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 1.0, 11.0, 13.0, 1.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 2.0, 15.0, 9.0, 2.0, 4.0, 4.0, 0.0, 0.0, 2.0, 15.0, 16.0, 16.0, 16.0, 16.0, 1.0], [0.0, 2.0, 9.0, 16.0, 13.0, 13.0, 2.0, 0.0, 0.0, 11.0, 11.0, 4.0, 2.0, 10.0, 4.0, 0.0, 0.0, 6.0, 12.0, 2.0, 4.0, 12.0, 0.0, 0.0, 0.0, 0.0, 6.0, 14.0, 13.0, 2.0, 0.0, 0.0, 0.0, 0.0, 1.0, 14.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 7.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 5.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 14.0, 3.0, 0.0, 0.0, 0.0], [0.0, 1.0, 12.0, 16.0, 14.0, 8.0, 0.0, 0.0, 0.0, 4.0, 16.0, 8.0, 10.0, 15.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 1.0, 12.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 1.0, 14.0, 15.0, 6.0, 10.0, 11.0, 0.0, 0.0, 0.0, 13.0, 16.0, 16.0, 14.0, 8.0, 1.0], [0.0, 0.0, 11.0, 8.0, 12.0, 5.0, 0.0, 0.0, 0.0, 1.0, 15.0, 11.0, 6.0, 14.0, 2.0, 0.0, 0.0, 4.0, 11.0, 0.0, 0.0, 9.0, 4.0, 0.0, 0.0, 4.0, 8.0, 0.0, 0.0, 8.0, 6.0, 0.0, 0.0, 6.0, 7.0, 0.0, 0.0, 11.0, 3.0, 0.0, 0.0, 5.0, 8.0, 0.0, 5.0, 13.0, 0.0, 0.0, 0.0, 3.0, 13.0, 5.0, 15.0, 3.0, 0.0, 0.0, 0.0, 0.0, 9.0, 14.0, 4.0, 0.0, 0.0, 0.0], [0.0, 0.0, 4.0, 13.0, 15.0, 6.0, 0.0, 0.0, 0.0, 0.0, 15.0, 11.0, 2.0, 14.0, 2.0, 0.0, 0.0, 3.0, 14.0, 1.0, 0.0, 12.0, 4.0, 0.0, 0.0, 5.0, 12.0, 0.0, 0.0, 9.0, 5.0, 0.0, 0.0, 5.0, 5.0, 0.0, 0.0, 12.0, 2.0, 0.0, 0.0, 4.0, 9.0, 0.0, 2.0, 13.0, 2.0, 0.0, 0.0, 0.0, 13.0, 2.0, 14.0, 7.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 7.0, 0.0, 0.0, 0.0], [0.0, 0.0, 3.0, 16.0, 12.0, 1.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 14.0, 0.0, 0.0, 0.0], [0.0, 1.0, 13.0, 16.0, 16.0, 12.0, 0.0, 0.0, 0.0, 3.0, 12.0, 6.0, 11.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 12.0, 0.0, 0.0, 0.0, 1.0, 9.0, 15.0, 16.0, 16.0, 9.0, 0.0, 0.0, 2.0, 12.0, 15.0, 14.0, 5.0, 5.0, 0.0, 0.0, 0.0, 5.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 3.0, 0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 1.0, 9.0, 15.0, 2.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 7.0, 1.0, 0.0, 0.0, 0.0, 0.0, 14.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 6.0, 8.0, 4.0, 0.0, 0.0, 0.0, 0.0, 15.0, 16.0, 13.0, 14.0, 7.0, 0.0, 0.0, 0.0, 14.0, 3.0, 0.0, 3.0, 12.0, 0.0, 0.0, 0.0, 6.0, 9.0, 7.0, 9.0, 15.0, 0.0, 0.0, 0.0, 0.0, 10.0, 14.0, 14.0, 2.0, 0.0], [0.0, 3.0, 12.0, 15.0, 16.0, 16.0, 3.0, 0.0, 0.0, 6.0, 16.0, 9.0, 9.0, 16.0, 6.0, 0.0, 0.0, 0.0, 3.0, 0.0, 11.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 11.0, 0.0, 0.0, 0.0, 0.0, 4.0, 5.0, 15.0, 14.0, 0.0, 0.0, 0.0, 3.0, 16.0, 16.0, 15.0, 6.0, 0.0, 0.0], [0.0, 1.0, 13.0, 16.0, 16.0, 5.0, 0.0, 0.0, 0.0, 7.0, 10.0, 4.0, 10.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 15.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 12.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 3.0, 1.0, 5.0, 3.0, 0.0, 0.0, 1.0, 15.0, 16.0, 16.0, 15.0, 3.0, 0.0], [0.0, 0.0, 1.0, 12.0, 16.0, 8.0, 0.0, 0.0, 0.0, 2.0, 13.0, 16.0, 16.0, 8.0, 0.0, 0.0, 0.0, 13.0, 16.0, 14.0, 16.0, 12.0, 0.0, 0.0, 0.0, 11.0, 6.0, 7.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 13.0, 0.0, 0.0, 0.0], [0.0, 0.0, 9.0, 15.0, 15.0, 2.0, 0.0, 0.0, 0.0, 3.0, 11.0, 4.0, 15.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 2.0, 0.0, 0.0, 0.0, 2.0, 12.0, 13.0, 16.0, 16.0, 11.0, 0.0, 0.0, 2.0, 12.0, 15.0, 11.0, 6.0, 1.0, 0.0, 0.0, 0.0, 3.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 7.0, 0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 2.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 15.0, 2.0, 1.0, 0.0, 0.0, 0.0, 1.0, 15.0, 8.0, 1.0, 13.0, 11.0, 0.0, 0.0, 9.0, 16.0, 7.0, 12.0, 16.0, 4.0, 0.0, 0.0, 5.0, 13.0, 16.0, 16.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 2.0, 0.0, 0.0], [0.0, 0.0, 0.0, 7.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 10.0, 8.0, 6.0, 1.0, 0.0, 0.0, 0.0, 15.0, 16.0, 8.0, 10.0, 8.0, 0.0, 0.0, 0.0, 14.0, 7.0, 0.0, 0.0, 12.0, 0.0, 0.0, 0.0, 8.0, 11.0, 0.0, 5.0, 16.0, 2.0, 0.0, 0.0, 0.0, 9.0, 14.0, 14.0, 5.0, 0.0], [0.0, 0.0, 10.0, 16.0, 16.0, 11.0, 0.0, 0.0, 0.0, 1.0, 11.0, 7.0, 6.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 13.0, 0.0, 0.0, 0.0, 0.0, 5.0, 4.0, 10.0, 16.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 16.0, 10.0, 0.0, 0.0], [0.0, 0.0, 4.0, 12.0, 13.0, 2.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 16.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 13.0, 0.0, 0.0, 0.0], [0.0, 1.0, 7.0, 15.0, 16.0, 9.0, 0.0, 0.0, 1.0, 13.0, 14.0, 7.0, 14.0, 14.0, 0.0, 0.0, 0.0, 6.0, 1.0, 8.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 15.0, 6.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 15.0, 11.0, 0.0, 0.0, 0.0, 5.0, 1.0, 0.0, 11.0, 16.0, 2.0, 0.0, 0.0, 10.0, 16.0, 16.0, 16.0, 7.0, 0.0], [0.0, 1.0, 7.0, 13.0, 14.0, 3.0, 0.0, 0.0, 0.0, 10.0, 13.0, 2.0, 5.0, 10.0, 0.0, 0.0, 0.0, 12.0, 4.0, 0.0, 7.0, 16.0, 0.0, 0.0, 0.0, 6.0, 10.0, 9.0, 13.0, 15.0, 1.0, 0.0, 0.0, 0.0, 2.0, 4.0, 0.0, 14.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 2.0, 0.0, 0.0, 0.0, 6.0, 0.0, 5.0, 14.0, 0.0, 0.0, 0.0, 0.0, 5.0, 14.0, 14.0, 5.0, 0.0, 0.0], [0.0, 0.0, 3.0, 12.0, 12.0, 3.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 16.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 10.0, 1.0, 0.0, 0.0, 0.0, 0.0, 5.0, 13.0, 14.0, 4.0, 0.0, 0.0], [0.0, 0.0, 5.0, 14.0, 15.0, 2.0, 0.0, 0.0, 0.0, 6.0, 16.0, 10.0, 15.0, 8.0, 0.0, 0.0, 0.0, 1.0, 4.0, 0.0, 8.0, 8.0, 0.0, 0.0, 0.0, 0.0, 1.0, 7.0, 16.0, 16.0, 8.0, 0.0, 0.0, 0.0, 13.0, 16.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 6.0, 10.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 15.0, 2.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 9.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 15.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 11.0, 8.0, 4.0, 0.0, 0.0, 0.0, 0.0, 15.0, 16.0, 8.0, 12.0, 5.0, 0.0, 0.0, 0.0, 14.0, 13.0, 0.0, 1.0, 15.0, 1.0, 0.0, 0.0, 8.0, 12.0, 0.0, 4.0, 16.0, 2.0, 0.0, 0.0, 0.0, 8.0, 12.0, 13.0, 10.0, 1.0], [0.0, 0.0, 11.0, 16.0, 9.0, 8.0, 0.0, 0.0, 0.0, 0.0, 14.0, 13.0, 6.0, 15.0, 2.0, 0.0, 0.0, 0.0, 9.0, 6.0, 6.0, 10.0, 0.0, 0.0, 0.0, 0.0, 1.0, 14.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 13.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 7.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 0.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 14.0, 8.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 6.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 2.0, 15.0, 14.0, 0.0, 7.0, 1.0, 0.0, 0.0, 6.0, 16.0, 3.0, 3.0, 16.0, 9.0, 0.0, 0.0, 11.0, 16.0, 8.0, 11.0, 16.0, 6.0, 0.0, 0.0, 3.0, 15.0, 16.0, 16.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 3.0, 0.0, 0.0], [0.0, 0.0, 5.0, 12.0, 16.0, 10.0, 0.0, 0.0, 0.0, 8.0, 15.0, 5.0, 12.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 15.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 14.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 11.0, 0.0, 0.0, 0.0, 5.0, 16.0, 16.0, 11.0, 3.0, 0.0], [0.0, 0.0, 3.0, 16.0, 12.0, 1.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 16.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 13.0, 9.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 8.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 16.0, 1.0, 3.0, 5.0, 0.0, 0.0, 5.0, 16.0, 6.0, 2.0, 16.0, 9.0, 0.0, 0.0, 11.0, 16.0, 0.0, 8.0, 16.0, 7.0, 0.0, 0.0, 10.0, 16.0, 16.0, 16.0, 11.0, 1.0, 0.0, 0.0, 1.0, 7.0, 9.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 11.0, 0.0, 0.0, 0.0], [0.0, 0.0, 5.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 10.0, 14.0, 12.0, 0.0, 0.0, 0.0, 2.0, 16.0, 16.0, 8.0, 11.0, 2.0, 0.0, 0.0, 3.0, 16.0, 11.0, 0.0, 9.0, 3.0, 0.0, 0.0, 5.0, 12.0, 2.0, 0.0, 12.0, 4.0, 0.0, 0.0, 1.0, 12.0, 0.0, 0.0, 13.0, 3.0, 0.0, 0.0, 0.0, 13.0, 6.0, 8.0, 13.0, 0.0, 0.0, 0.0, 0.0, 3.0, 14.0, 12.0, 3.0, 0.0, 0.0], [0.0, 7.0, 16.0, 16.0, 16.0, 16.0, 11.0, 0.0, 0.0, 8.0, 16.0, 9.0, 6.0, 0.0, 1.0, 0.0, 0.0, 3.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 4.0, 0.0, 14.0, 4.0, 0.0, 0.0, 0.0, 0.0, 9.0, 9.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 5.0, 15.0, 13.0, 0.0, 0.0, 0.0, 0.0], [0.0, 4.0, 13.0, 16.0, 16.0, 15.0, 3.0, 0.0, 0.0, 10.0, 12.0, 7.0, 8.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 1.0, 12.0, 15.0, 2.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 10.0, 0.0, 0.0, 0.0, 5.0, 7.0, 4.0, 15.0, 13.0, 0.0, 0.0, 0.0, 5.0, 16.0, 16.0, 16.0, 7.0, 0.0, 0.0], [0.0, 0.0, 0.0, 12.0, 15.0, 4.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 9.0, 2.0, 0.0, 0.0, 0.0, 0.0, 12.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 11.0, 3.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 14.0, 15.0, 8.0, 0.0, 0.0, 0.0, 1.0, 16.0, 6.0, 0.0, 12.0, 8.0, 0.0, 0.0, 0.0, 12.0, 12.0, 4.0, 13.0, 12.0, 0.0, 0.0, 0.0, 1.0, 11.0, 16.0, 16.0, 4.0, 0.0], [0.0, 2.0, 14.0, 16.0, 16.0, 7.0, 0.0, 0.0, 0.0, 6.0, 15.0, 5.0, 6.0, 13.0, 0.0, 0.0, 0.0, 4.0, 15.0, 0.0, 9.0, 16.0, 6.0, 0.0, 0.0, 2.0, 13.0, 16.0, 16.0, 15.0, 9.0, 0.0, 0.0, 0.0, 1.0, 4.0, 2.0, 15.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 1.0, 12.0, 15.0, 2.0, 0.0, 0.0, 1.0, 14.0, 16.0, 16.0, 6.0, 0.0, 0.0], [0.0, 0.0, 0.0, 12.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 13.0, 8.0, 4.0, 0.0, 0.0, 0.0, 3.0, 16.0, 15.0, 11.0, 15.0, 7.0, 0.0, 0.0, 2.0, 15.0, 10.0, 0.0, 4.0, 15.0, 3.0, 0.0, 0.0, 8.0, 12.0, 4.0, 6.0, 16.0, 5.0, 0.0, 0.0, 1.0, 11.0, 16.0, 16.0, 13.0, 0.0], [0.0, 0.0, 0.0, 14.0, 10.0, 0.0, 0.0, 0.0, 0.0, 3.0, 14.0, 16.0, 13.0, 0.0, 0.0, 0.0, 2.0, 16.0, 16.0, 16.0, 5.0, 0.0, 0.0, 0.0, 1.0, 11.0, 14.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 15.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 13.0, 0.0, 0.0, 0.0], [0.0, 1.0, 8.0, 12.0, 16.0, 16.0, 3.0, 0.0, 0.0, 5.0, 14.0, 8.0, 10.0, 15.0, 0.0, 0.0, 0.0, 0.0, 2.0, 5.0, 14.0, 12.0, 2.0, 0.0, 0.0, 3.0, 15.0, 16.0, 15.0, 12.0, 8.0, 0.0, 0.0, 3.0, 6.0, 14.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 4.0, 0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 15.0, 13.0, 12.0, 12.0, 2.0, 0.0, 0.0, 4.0, 16.0, 16.0, 12.0, 6.0, 0.0, 0.0, 0.0, 0.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 6.0, 0.0, 0.0, 0.0, 0.0, 4.0, 5.0, 14.0, 8.0, 0.0, 0.0, 0.0, 0.0, 1.0, 15.0, 16.0, 4.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 3.0, 15.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 14.0, 3.0, 0.0, 0.0, 0.0, 0.0, 6.0, 15.0, 2.0, 6.0, 6.0, 0.0, 0.0, 2.0, 15.0, 4.0, 0.0, 15.0, 8.0, 0.0, 0.0, 8.0, 12.0, 0.0, 4.0, 16.0, 1.0, 0.0, 0.0, 11.0, 14.0, 12.0, 16.0, 10.0, 0.0, 0.0, 0.0, 2.0, 8.0, 7.0, 15.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 2.0, 0.0, 0.0], [0.0, 0.0, 0.0, 7.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 9.0, 0.0, 0.0, 10.0, 3.0, 0.0, 7.0, 15.0, 0.0, 0.0, 9.0, 15.0, 0.0, 0.0, 12.0, 15.0, 8.0, 10.0, 15.0, 10.0, 0.0, 0.0, 8.0, 15.0, 12.0, 16.0, 12.0, 1.0, 0.0, 0.0, 0.0, 0.0, 5.0, 15.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 13.0, 0.0, 0.0, 0.0], [0.0, 0.0, 5.0, 12.0, 16.0, 16.0, 7.0, 0.0, 0.0, 0.0, 10.0, 9.0, 4.0, 11.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 7.0, 0.0, 0.0, 0.0, 2.0, 10.0, 15.0, 16.0, 13.0, 0.0, 0.0, 0.0, 14.0, 13.0, 16.0, 10.0, 1.0, 0.0, 0.0, 0.0, 3.0, 4.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 13.0, 0.0, 0.0, 0.0, 0.0], [0.0, 2.0, 13.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 6.0, 13.0, 10.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 14.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 14.0, 1.0, 0.0, 0.0, 0.0, 0.0, 1.0, 14.0, 7.0, 0.0, 0.0, 1.0, 0.0, 0.0, 4.0, 16.0, 5.0, 7.0, 12.0, 14.0, 0.0, 0.0, 3.0, 15.0, 16.0, 16.0, 10.0, 1.0, 0.0], [0.0, 1.0, 3.0, 15.0, 15.0, 2.0, 0.0, 0.0, 2.0, 16.0, 16.0, 12.0, 16.0, 6.0, 0.0, 0.0, 1.0, 15.0, 7.0, 6.0, 14.0, 0.0, 0.0, 0.0, 0.0, 5.0, 14.0, 14.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 15.0, 13.0, 8.0, 0.0, 0.0, 0.0, 0.0, 8.0, 12.0, 7.0, 16.0, 0.0, 0.0, 0.0, 0.0, 4.0, 15.0, 16.0, 14.0, 0.0, 0.0], [0.0, 2.0, 15.0, 16.0, 15.0, 1.0, 0.0, 0.0, 0.0, 3.0, 11.0, 5.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0, 2.0, 14.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 3.0, 3.0, 4.0, 3.0, 0.0, 0.0, 4.0, 16.0, 16.0, 16.0, 16.0, 11.0, 0.0], [0.0, 2.0, 13.0, 16.0, 16.0, 10.0, 0.0, 0.0, 2.0, 15.0, 12.0, 7.0, 10.0, 16.0, 0.0, 0.0, 0.0, 3.0, 1.0, 0.0, 12.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 15.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 10.0, 6.0, 8.0, 8.0, 1.0, 0.0, 2.0, 15.0, 16.0, 16.0, 12.0, 12.0, 1.0], [0.0, 4.0, 7.0, 13.0, 16.0, 16.0, 4.0, 0.0, 0.0, 11.0, 16.0, 14.0, 9.0, 2.0, 0.0, 0.0, 0.0, 14.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 13.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 1.0, 3.0, 14.0, 16.0, 3.0, 0.0, 0.0, 0.0, 4.0, 14.0, 16.0, 13.0, 0.0, 0.0, 0.0], [0.0, 0.0, 12.0, 16.0, 16.0, 16.0, 15.0, 0.0, 0.0, 0.0, 3.0, 4.0, 2.0, 8.0, 15.0, 0.0, 0.0, 0.0, 0.0, 2.0, 4.0, 11.0, 11.0, 0.0, 0.0, 0.0, 6.0, 15.0, 16.0, 16.0, 12.0, 0.0, 0.0, 0.0, 5.0, 6.0, 15.0, 7.0, 2.0, 0.0, 0.0, 0.0, 0.0, 10.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 11.0, 0.0, 0.0, 0.0, 0.0], [0.0, 1.0, 14.0, 16.0, 15.0, 4.0, 0.0, 0.0, 0.0, 4.0, 16.0, 9.0, 11.0, 15.0, 3.0, 0.0, 0.0, 6.0, 16.0, 1.0, 8.0, 16.0, 2.0, 0.0, 0.0, 2.0, 14.0, 10.0, 15.0, 16.0, 6.0, 0.0, 0.0, 0.0, 3.0, 11.0, 8.0, 15.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 5.0, 0.0, 0.0, 0.0, 3.0, 3.0, 11.0, 15.0, 1.0, 0.0, 0.0, 0.0, 13.0, 16.0, 14.0, 4.0, 0.0, 0.0], [0.0, 8.0, 16.0, 12.0, 15.0, 16.0, 7.0, 0.0, 0.0, 13.0, 16.0, 14.0, 6.0, 4.0, 1.0, 0.0, 0.0, 12.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 15.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 2.0, 0.0, 0.0, 0.0, 1.0, 4.0, 6.0, 16.0, 5.0, 0.0, 0.0, 0.0, 7.0, 16.0, 16.0, 10.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 3.0, 14.0, 6.0, 0.0, 0.0, 0.0, 0.0, 3.0, 14.0, 10.0, 1.0, 0.0, 0.0, 0.0, 1.0, 13.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 14.0, 1.0, 0.0, 7.0, 5.0, 0.0, 0.0, 11.0, 15.0, 8.0, 9.0, 16.0, 10.0, 0.0, 0.0, 7.0, 16.0, 16.0, 15.0, 15.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 2.0, 0.0, 0.0], [0.0, 0.0, 11.0, 16.0, 16.0, 14.0, 0.0, 0.0, 0.0, 1.0, 16.0, 15.0, 13.0, 15.0, 1.0, 0.0, 0.0, 0.0, 14.0, 15.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 14.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 11.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 16.0, 10.0, 0.0, 0.0, 0.0], [0.0, 0.0, 13.0, 16.0, 16.0, 15.0, 2.0, 0.0, 0.0, 0.0, 14.0, 13.0, 11.0, 16.0, 2.0, 0.0, 0.0, 0.0, 11.0, 13.0, 15.0, 6.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 14.0, 15.0, 0.0, 0.0, 0.0, 0.0, 1.0, 14.0, 3.0, 15.0, 7.0, 0.0, 0.0, 0.0, 6.0, 11.0, 0.0, 15.0, 6.0, 0.0, 0.0, 0.0, 1.0, 13.0, 16.0, 15.0, 3.0, 0.0, 0.0], [0.0, 0.0, 2.0, 14.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 15.0, 3.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 2.0, 1.0, 5.0, 0.0, 0.0, 0.0, 10.0, 13.0, 0.0, 5.0, 16.0, 2.0, 0.0, 0.0, 7.0, 16.0, 9.0, 12.0, 16.0, 11.0, 0.0, 0.0, 0.0, 5.0, 12.0, 16.0, 10.0, 2.0, 0.0, 0.0, 0.0, 0.0, 12.0, 12.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 5.0, 0.0, 0.0, 0.0], [0.0, 0.0, 9.0, 16.0, 16.0, 10.0, 0.0, 0.0, 0.0, 2.0, 16.0, 9.0, 11.0, 11.0, 0.0, 0.0, 0.0, 0.0, 15.0, 7.0, 12.0, 16.0, 3.0, 0.0, 0.0, 0.0, 7.0, 16.0, 15.0, 15.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 10.0, 0.0, 0.0, 0.0, 11.0, 2.0, 6.0, 16.0, 6.0, 0.0, 0.0, 0.0, 9.0, 16.0, 16.0, 11.0, 1.0, 0.0], [0.0, 0.0, 10.0, 13.0, 14.0, 8.0, 0.0, 0.0, 0.0, 0.0, 13.0, 9.0, 5.0, 12.0, 5.0, 0.0, 0.0, 4.0, 13.0, 0.0, 0.0, 4.0, 8.0, 0.0, 0.0, 4.0, 8.0, 0.0, 0.0, 4.0, 8.0, 0.0, 0.0, 8.0, 4.0, 0.0, 0.0, 13.0, 2.0, 0.0, 0.0, 8.0, 4.0, 0.0, 9.0, 10.0, 0.0, 0.0, 0.0, 4.0, 12.0, 12.0, 13.0, 1.0, 0.0, 0.0, 0.0, 1.0, 11.0, 11.0, 1.0, 0.0, 0.0, 0.0], [0.0, 0.0, 14.0, 16.0, 13.0, 9.0, 1.0, 0.0, 0.0, 0.0, 12.0, 10.0, 9.0, 16.0, 3.0, 0.0, 0.0, 0.0, 9.0, 14.0, 13.0, 13.0, 1.0, 0.0, 0.0, 0.0, 3.0, 13.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 12.0, 9.0, 0.0, 0.0, 0.0, 0.0, 13.0, 8.0, 14.0, 6.0, 0.0, 0.0, 0.0, 1.0, 16.0, 11.0, 15.0, 1.0, 0.0, 0.0, 0.0, 1.0, 13.0, 16.0, 6.0, 0.0, 0.0, 0.0], [0.0, 0.0, 9.0, 15.0, 13.0, 3.0, 0.0, 0.0, 0.0, 2.0, 14.0, 2.0, 6.0, 5.0, 0.0, 0.0, 0.0, 4.0, 9.0, 0.0, 0.0, 15.0, 4.0, 0.0, 0.0, 1.0, 13.0, 5.0, 7.0, 16.0, 6.0, 0.0, 0.0, 0.0, 2.0, 7.0, 7.0, 14.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 14.0, 1.0, 0.0, 0.0, 0.0, 3.0, 1.0, 10.0, 9.0, 0.0, 0.0, 0.0, 0.0, 11.0, 15.0, 9.0, 1.0, 0.0, 0.0], [0.0, 0.0, 13.0, 16.0, 9.0, 4.0, 0.0, 0.0, 0.0, 0.0, 15.0, 9.0, 9.0, 15.0, 1.0, 0.0, 0.0, 0.0, 11.0, 9.0, 13.0, 11.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 14.0, 1.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 10.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 16.0, 4.0, 15.0, 7.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 16.0, 3.0, 0.0, 0.0], [0.0, 0.0, 0.0, 12.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 12.0, 9.0, 10.0, 0.0, 0.0, 0.0, 2.0, 16.0, 2.0, 1.0, 11.0, 1.0, 0.0, 0.0, 1.0, 15.0, 0.0, 0.0, 5.0, 8.0, 0.0, 0.0, 2.0, 14.0, 0.0, 0.0, 5.0, 10.0, 0.0, 0.0, 0.0, 13.0, 2.0, 0.0, 2.0, 13.0, 0.0, 0.0, 0.0, 7.0, 9.0, 0.0, 7.0, 11.0, 0.0, 0.0, 0.0, 0.0, 11.0, 13.0, 16.0, 2.0, 0.0], [0.0, 0.0, 0.0, 1.0, 13.0, 13.0, 0.0, 0.0, 0.0, 0.0, 4.0, 15.0, 15.0, 16.0, 0.0, 0.0, 0.0, 8.0, 16.0, 10.0, 6.0, 14.0, 0.0, 0.0, 0.0, 10.0, 6.0, 0.0, 8.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 7.0, 0.0, 0.0], [0.0, 0.0, 2.0, 12.0, 16.0, 10.0, 0.0, 0.0, 0.0, 2.0, 15.0, 10.0, 6.0, 15.0, 0.0, 0.0, 0.0, 2.0, 7.0, 1.0, 4.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 16.0, 15.0, 10.0, 5.0, 0.0, 0.0, 0.0, 1.0, 8.0, 8.0, 11.0, 16.0, 6.0], [0.0, 4.0, 14.0, 16.0, 16.0, 15.0, 2.0, 0.0, 0.0, 12.0, 11.0, 2.0, 4.0, 16.0, 5.0, 0.0, 0.0, 2.0, 0.0, 1.0, 11.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 15.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 14.0, 10.0, 0.0, 0.0, 1.0, 7.0, 0.0, 3.0, 14.0, 8.0, 0.0, 0.0, 4.0, 15.0, 16.0, 16.0, 11.0, 0.0, 0.0], [0.0, 0.0, 0.0, 2.0, 15.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 10.0, 0.0, 3.0, 8.0, 0.0, 0.0, 5.0, 16.0, 1.0, 2.0, 15.0, 5.0, 0.0, 0.0, 9.0, 13.0, 7.0, 14.0, 16.0, 2.0, 0.0, 0.0, 5.0, 15.0, 14.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 5.0, 0.0, 0.0], [0.0, 0.0, 12.0, 16.0, 16.0, 16.0, 7.0, 0.0, 0.0, 1.0, 14.0, 15.0, 6.0, 4.0, 1.0, 0.0, 0.0, 8.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 12.0, 12.0, 9.0, 1.0, 0.0, 0.0, 1.0, 8.0, 8.0, 8.0, 15.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 12.0, 0.0, 0.0, 0.0, 8.0, 2.0, 6.0, 16.0, 5.0, 0.0, 0.0, 1.0, 11.0, 16.0, 16.0, 8.0, 0.0, 0.0], [0.0, 0.0, 0.0, 11.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 16.0, 14.0, 11.0, 0.0, 0.0, 0.0, 9.0, 16.0, 3.0, 5.0, 16.0, 4.0, 0.0, 0.0, 6.0, 15.0, 5.0, 14.0, 16.0, 2.0, 0.0, 0.0, 1.0, 11.0, 16.0, 15.0, 4.0, 0.0], [0.0, 3.0, 15.0, 16.0, 15.0, 3.0, 0.0, 0.0, 0.0, 3.0, 10.0, 8.0, 15.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 8.0, 0.0, 0.0, 0.0, 0.0, 11.0, 13.0, 16.0, 16.0, 8.0, 0.0, 0.0, 1.0, 15.0, 16.0, 15.0, 7.0, 2.0, 0.0, 0.0, 0.0, 5.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 4.0, 15.0, 13.0, 3.0, 0.0, 0.0, 0.0, 4.0, 13.0, 14.0, 10.0, 13.0, 0.0, 0.0, 0.0, 8.0, 16.0, 8.0, 8.0, 13.0, 0.0, 0.0, 0.0, 0.0, 15.0, 12.0, 15.0, 11.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 13.0, 1.0, 0.0, 0.0, 0.0, 0.0, 11.0, 15.0, 15.0, 2.0, 0.0, 0.0, 0.0, 0.0, 12.0, 8.0, 15.0, 8.0, 0.0, 0.0, 0.0, 0.0, 5.0, 15.0, 16.0, 5.0, 0.0, 0.0], [0.0, 0.0, 13.0, 13.0, 1.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 13.0, 12.0, 13.0, 0.0, 0.0, 0.0, 8.0, 13.0, 1.0, 15.0, 16.0, 4.0, 0.0, 0.0, 4.0, 15.0, 13.0, 15.0, 15.0, 10.0, 0.0, 0.0, 0.0, 6.0, 11.0, 3.0, 9.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 0.0, 0.0, 1.0, 7.0, 0.0, 1.0, 9.0, 15.0, 1.0, 0.0, 1.0, 13.0, 16.0, 16.0, 16.0, 6.0, 0.0], [0.0, 0.0, 0.0, 14.0, 12.0, 1.0, 0.0, 0.0, 0.0, 0.0, 4.0, 15.0, 7.0, 10.0, 0.0, 0.0, 0.0, 2.0, 16.0, 15.0, 5.0, 12.0, 2.0, 0.0, 0.0, 7.0, 16.0, 0.0, 0.0, 11.0, 5.0, 0.0, 0.0, 5.0, 12.0, 0.0, 0.0, 12.0, 4.0, 0.0, 0.0, 1.0, 15.0, 0.0, 0.0, 14.0, 2.0, 0.0, 0.0, 0.0, 9.0, 6.0, 7.0, 15.0, 0.0, 0.0, 0.0, 0.0, 1.0, 13.0, 16.0, 8.0, 0.0, 0.0], [0.0, 0.0, 0.0, 11.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 16.0, 5.0, 0.0, 0.0, 0.0, 6.0, 16.0, 15.0, 16.0, 3.0, 0.0, 0.0, 0.0, 11.0, 11.0, 10.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 2.0, 0.0, 0.0], [0.0, 0.0, 6.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 13.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 2.0, 12.0, 10.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 7.0, 0.0, 0.0, 0.0, 0.0, 1.0, 10.0, 16.0, 10.0, 8.0, 3.0, 0.0, 0.0, 4.0, 16.0, 16.0, 15.0, 16.0, 16.0], [0.0, 0.0, 9.0, 16.0, 16.0, 12.0, 2.0, 0.0, 0.0, 3.0, 13.0, 5.0, 4.0, 14.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 15.0, 2.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 8.0, 0.0, 0.0, 0.0, 4.0, 5.0, 5.0, 15.0, 4.0, 0.0, 0.0, 0.0, 12.0, 16.0, 15.0, 5.0, 0.0, 0.0], [0.0, 0.0, 0.0, 2.0, 14.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 6.0, 0.0, 5.0, 11.0, 0.0, 0.0, 3.0, 15.0, 0.0, 0.0, 10.0, 9.0, 0.0, 0.0, 9.0, 13.0, 4.0, 7.0, 16.0, 3.0, 0.0, 0.0, 7.0, 16.0, 16.0, 16.0, 13.0, 0.0, 0.0, 0.0, 0.0, 3.0, 2.0, 16.0, 6.0, 0.0, 0.0], [0.0, 5.0, 16.0, 16.0, 16.0, 16.0, 10.0, 0.0, 0.0, 4.0, 10.0, 4.0, 4.0, 4.0, 0.0, 0.0, 0.0, 10.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 13.0, 7.0, 1.0, 0.0, 0.0, 0.0, 0.0, 2.0, 8.0, 14.0, 14.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 7.0, 0.0, 0.0, 3.0, 3.0, 2.0, 11.0, 15.0, 0.0, 0.0, 0.0, 5.0, 16.0, 16.0, 12.0, 1.0, 0.0, 0.0], [0.0, 0.0, 0.0, 12.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 16.0, 15.0, 5.0, 0.0, 0.0, 0.0, 8.0, 16.0, 0.0, 6.0, 15.0, 1.0, 0.0, 0.0, 7.0, 16.0, 4.0, 10.0, 16.0, 3.0, 0.0, 0.0, 1.0, 11.0, 16.0, 16.0, 12.0, 0.0], [0.0, 0.0, 5.0, 13.0, 16.0, 14.0, 0.0, 0.0, 0.0, 1.0, 14.0, 8.0, 5.0, 16.0, 2.0, 0.0, 0.0, 0.0, 1.0, 0.0, 2.0, 15.0, 2.0, 0.0, 0.0, 0.0, 0.0, 2.0, 8.0, 15.0, 3.0, 0.0, 0.0, 0.0, 0.0, 15.0, 16.0, 13.0, 8.0, 0.0, 0.0, 0.0, 0.0, 6.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 14.0, 0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 4.0, 16.0, 14.0, 3.0, 0.0, 0.0, 2.0, 14.0, 16.0, 12.0, 10.0, 11.0, 0.0, 0.0, 0.0, 13.0, 12.0, 9.0, 15.0, 10.0, 0.0, 0.0, 0.0, 3.0, 14.0, 14.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 15.0, 14.0, 1.0, 0.0, 0.0, 0.0, 0.0, 12.0, 12.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 4.0, 15.0, 16.0, 3.0, 0.0, 0.0], [0.0, 0.0, 8.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 6.0, 12.0, 2.0, 14.0, 13.0, 0.0, 0.0, 0.0, 9.0, 6.0, 1.0, 14.0, 14.0, 0.0, 0.0, 0.0, 2.0, 11.0, 12.0, 8.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 9.0, 0.0, 0.0, 0.0, 2.0, 0.0, 1.0, 12.0, 6.0, 0.0, 0.0, 0.0, 8.0, 9.0, 13.0, 7.0, 0.0, 0.0], [0.0, 0.0, 0.0, 16.0, 11.0, 1.0, 0.0, 0.0, 0.0, 0.0, 13.0, 16.0, 10.0, 9.0, 0.0, 0.0, 0.0, 2.0, 16.0, 11.0, 1.0, 14.0, 2.0, 0.0, 0.0, 3.0, 16.0, 1.0, 0.0, 8.0, 7.0, 0.0, 0.0, 4.0, 13.0, 0.0, 0.0, 8.0, 9.0, 0.0, 0.0, 3.0, 16.0, 1.0, 0.0, 10.0, 9.0, 0.0, 0.0, 0.0, 10.0, 8.0, 3.0, 16.0, 4.0, 0.0, 0.0, 0.0, 1.0, 11.0, 16.0, 13.0, 1.0, 0.0], [0.0, 0.0, 0.0, 0.0, 5.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 8.0, 15.0, 16.0, 3.0, 0.0, 0.0, 2.0, 13.0, 15.0, 5.0, 16.0, 0.0, 0.0, 0.0, 8.0, 14.0, 2.0, 3.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 1.0, 0.0], [0.0, 0.0, 4.0, 16.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 12.0, 11.0, 7.0, 11.0, 0.0, 0.0, 0.0, 0.0, 9.0, 2.0, 5.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 1.0, 15.0, 15.0, 10.0, 1.0, 0.0, 0.0, 0.0, 5.0, 16.0, 8.0, 11.0, 11.0, 0.0], [0.0, 1.0, 13.0, 16.0, 16.0, 8.0, 0.0, 0.0, 0.0, 11.0, 13.0, 4.0, 13.0, 7.0, 0.0, 0.0, 0.0, 7.0, 1.0, 7.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 15.0, 9.0, 0.0, 0.0, 0.0, 0.0, 3.0, 6.0, 8.0, 15.0, 8.0, 0.0, 0.0, 0.0, 6.0, 1.0, 0.0, 7.0, 13.0, 0.0, 0.0, 4.0, 16.0, 5.0, 2.0, 13.0, 10.0, 0.0, 0.0, 1.0, 12.0, 16.0, 16.0, 11.0, 1.0, 0.0], [0.0, 0.0, 0.0, 1.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 14.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 12.0, 0.0, 3.0, 9.0, 0.0, 0.0, 0.0, 14.0, 2.0, 0.0, 10.0, 7.0, 0.0, 0.0, 6.0, 13.0, 5.0, 11.0, 14.0, 1.0, 0.0, 0.0, 11.0, 16.0, 16.0, 16.0, 9.0, 0.0, 0.0, 0.0, 1.0, 2.0, 1.0, 14.0, 1.0, 0.0, 0.0], [0.0, 0.0, 6.0, 15.0, 16.0, 16.0, 3.0, 0.0, 0.0, 0.0, 14.0, 16.0, 6.0, 6.0, 1.0, 0.0, 0.0, 3.0, 14.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 15.0, 8.0, 4.0, 0.0, 0.0, 0.0, 0.0, 1.0, 10.0, 12.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 13.0, 14.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 14.0, 3.0, 0.0, 0.0], [0.0, 0.0, 2.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 13.0, 12.0, 11.0, 2.0, 0.0, 0.0, 0.0, 14.0, 16.0, 14.0, 10.0, 14.0, 0.0, 0.0, 0.0, 13.0, 7.0, 3.0, 0.0, 14.0, 6.0, 0.0, 0.0, 10.0, 14.0, 4.0, 8.0, 16.0, 7.0, 0.0, 0.0, 2.0, 14.0, 16.0, 15.0, 8.0, 0.0], [0.0, 0.0, 9.0, 13.0, 16.0, 16.0, 4.0, 0.0, 0.0, 2.0, 12.0, 5.0, 4.0, 14.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 13.0, 12.0, 5.0, 0.0, 0.0, 0.0, 0.0, 13.0, 14.0, 12.0, 8.0, 0.0, 0.0, 0.0, 0.0, 13.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 14.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 7.0, 0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 6.0, 8.0, 15.0, 13.0, 1.0, 0.0, 0.0, 1.0, 16.0, 16.0, 11.0, 15.0, 4.0, 0.0, 0.0, 0.0, 15.0, 9.0, 8.0, 15.0, 2.0, 0.0, 0.0, 0.0, 10.0, 16.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 13.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 4.0, 15.0, 10.0, 12.0, 0.0, 0.0, 0.0, 0.0, 2.0, 15.0, 5.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 10.0, 0.0, 0.0, 0.0], [0.0, 1.0, 9.0, 14.0, 8.0, 0.0, 0.0, 0.0, 0.0, 8.0, 11.0, 3.0, 7.0, 11.0, 1.0, 0.0, 0.0, 12.0, 7.0, 0.0, 3.0, 16.0, 4.0, 0.0, 0.0, 3.0, 13.0, 12.0, 14.0, 14.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 1.0, 0.0, 0.0, 0.0, 8.0, 13.0, 14.0, 5.0, 0.0, 0.0], [0.0, 0.0, 9.0, 16.0, 11.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 13.0, 15.0, 7.0, 0.0, 0.0, 0.0, 7.0, 16.0, 6.0, 4.0, 16.0, 3.0, 0.0, 0.0, 9.0, 14.0, 0.0, 0.0, 11.0, 10.0, 0.0, 0.0, 8.0, 13.0, 0.0, 0.0, 7.0, 13.0, 0.0, 0.0, 7.0, 13.0, 0.0, 0.0, 7.0, 16.0, 0.0, 0.0, 3.0, 16.0, 7.0, 7.0, 15.0, 6.0, 0.0, 0.0, 0.0, 9.0, 16.0, 16.0, 10.0, 0.0, 0.0], [0.0, 0.0, 6.0, 14.0, 7.0, 6.0, 0.0, 0.0, 0.0, 1.0, 14.0, 6.0, 13.0, 16.0, 1.0, 0.0, 0.0, 5.0, 12.0, 0.0, 9.0, 16.0, 3.0, 0.0, 0.0, 1.0, 15.0, 14.0, 13.0, 11.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 8.0, 0.0, 0.0, 1.0, 14.0, 2.0, 1.0, 12.0, 1.0, 0.0, 0.0, 0.0, 4.0, 13.0, 15.0, 5.0, 0.0, 0.0], [0.0, 2.0, 16.0, 16.0, 16.0, 16.0, 3.0, 0.0, 0.0, 1.0, 16.0, 13.0, 6.0, 4.0, 0.0, 0.0, 0.0, 9.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 13.0, 7.0, 0.0, 0.0, 0.0, 0.0, 3.0, 11.0, 13.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 1.0, 0.0, 0.0, 2.0, 11.0, 5.0, 12.0, 14.0, 0.0, 0.0, 0.0, 3.0, 16.0, 16.0, 16.0, 5.0, 0.0, 0.0], [0.0, 0.0, 8.0, 16.0, 16.0, 9.0, 0.0, 0.0, 0.0, 1.0, 16.0, 15.0, 11.0, 8.0, 0.0, 0.0, 0.0, 1.0, 14.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 10.0, 6.0, 0.0, 0.0, 0.0, 0.0, 2.0, 12.0, 16.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 7.0, 15.0, 0.0, 0.0, 0.0, 0.0, 11.0, 5.0, 13.0, 13.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 16.0, 6.0, 0.0, 0.0], [0.0, 0.0, 0.0, 16.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 15.0, 11.0, 5.0, 0.0, 0.0, 0.0, 0.0, 14.0, 15.0, 12.0, 15.0, 11.0, 0.0, 0.0, 0.0, 12.0, 13.0, 0.0, 0.0, 16.0, 5.0, 0.0, 0.0, 6.0, 15.0, 4.0, 11.0, 16.0, 4.0, 0.0, 0.0, 0.0, 13.0, 16.0, 14.0, 9.0, 0.0], [0.0, 1.0, 14.0, 16.0, 16.0, 14.0, 1.0, 0.0, 0.0, 0.0, 10.0, 13.0, 6.0, 4.0, 0.0, 0.0, 0.0, 3.0, 15.0, 11.0, 3.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 16.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 10.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 11.0, 0.0, 0.0, 0.0, 0.0, 7.0, 12.0, 16.0, 5.0, 0.0, 0.0, 0.0, 2.0, 15.0, 15.0, 5.0, 0.0, 0.0, 0.0], [0.0, 0.0, 2.0, 14.0, 13.0, 2.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 15.0, 13.0, 0.0, 0.0, 0.0, 0.0, 13.0, 13.0, 1.0, 16.0, 3.0, 0.0, 0.0, 0.0, 12.0, 13.0, 0.0, 15.0, 6.0, 0.0, 0.0, 1.0, 16.0, 7.0, 1.0, 16.0, 4.0, 0.0, 0.0, 1.0, 16.0, 5.0, 8.0, 16.0, 1.0, 0.0, 0.0, 0.0, 15.0, 13.0, 15.0, 13.0, 0.0, 0.0, 0.0, 0.0, 3.0, 15.0, 15.0, 2.0, 0.0, 0.0], [0.0, 0.0, 3.0, 13.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 11.0, 15.0, 8.0, 0.0, 0.0, 0.0, 0.0, 15.0, 1.0, 14.0, 16.0, 1.0, 0.0, 0.0, 0.0, 11.0, 13.0, 12.0, 13.0, 5.0, 0.0, 0.0, 0.0, 3.0, 8.0, 1.0, 8.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 6.0, 0.0, 0.0, 0.0, 9.0, 4.0, 3.0, 16.0, 2.0, 0.0, 0.0, 0.0, 4.0, 14.0, 14.0, 7.0, 0.0, 0.0], [0.0, 0.0, 7.0, 10.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 15.0, 16.0, 13.0, 15.0, 1.0, 0.0, 0.0, 0.0, 10.0, 13.0, 10.0, 16.0, 2.0, 0.0, 0.0, 0.0, 1.0, 16.0, 16.0, 11.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 15.0, 8.0, 14.0, 7.0, 0.0, 0.0, 0.0, 0.0, 16.0, 7.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 14.0, 0.0, 0.0, 0.0], [0.0, 0.0, 3.0, 12.0, 12.0, 1.0, 0.0, 0.0, 0.0, 3.0, 13.0, 6.0, 9.0, 12.0, 0.0, 0.0, 0.0, 9.0, 5.0, 0.0, 2.0, 15.0, 0.0, 0.0, 0.0, 7.0, 9.0, 4.0, 12.0, 16.0, 1.0, 0.0, 0.0, 0.0, 9.0, 11.0, 3.0, 10.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 3.0, 0.0, 0.0, 0.0, 10.0, 2.0, 1.0, 13.0, 0.0, 0.0, 0.0, 0.0, 3.0, 13.0, 16.0, 4.0, 0.0, 0.0], [0.0, 0.0, 3.0, 15.0, 13.0, 2.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 12.0, 13.0, 0.0, 0.0, 0.0, 0.0, 13.0, 13.0, 9.0, 14.0, 0.0, 0.0, 0.0, 0.0, 6.0, 15.0, 15.0, 11.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 14.0, 1.0, 0.0, 0.0, 0.0, 0.0, 11.0, 14.0, 15.0, 5.0, 0.0, 0.0, 0.0, 0.0, 9.0, 10.0, 14.0, 9.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 15.0, 2.0, 0.0, 0.0], [0.0, 0.0, 0.0, 2.0, 15.0, 8.0, 0.0, 0.0, 0.0, 0.0, 1.0, 15.0, 13.0, 3.0, 0.0, 0.0, 0.0, 0.0, 9.0, 13.0, 1.0, 0.0, 0.0, 0.0, 0.0, 1.0, 15.0, 6.0, 0.0, 5.0, 11.0, 0.0, 0.0, 7.0, 14.0, 0.0, 1.0, 15.0, 8.0, 0.0, 0.0, 8.0, 15.0, 9.0, 15.0, 16.0, 3.0, 0.0, 0.0, 1.0, 11.0, 16.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 15.0, 5.0, 0.0, 0.0], [0.0, 0.0, 0.0, 16.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 15.0, 1.0, 0.0, 0.0], [0.0, 0.0, 3.0, 11.0, 16.0, 15.0, 2.0, 0.0, 0.0, 4.0, 16.0, 10.0, 4.0, 16.0, 4.0, 0.0, 0.0, 7.0, 6.0, 0.0, 5.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 6.0, 15.0, 6.0, 1.0, 0.0, 0.0, 0.0, 0.0, 13.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 15.0, 2.0, 0.0, 0.0, 0.0], [0.0, 0.0, 6.0, 16.0, 16.0, 6.0, 0.0, 0.0, 0.0, 5.0, 13.0, 5.0, 7.0, 13.0, 0.0, 0.0, 0.0, 1.0, 1.0, 0.0, 5.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 14.0, 14.0, 8.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 8.0, 2.0, 0.0, 0.0, 0.0, 0.0, 8.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 14.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 12.0, 0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 9.0, 16.0, 16.0, 12.0, 0.0, 0.0, 0.0, 2.0, 16.0, 8.0, 9.0, 16.0, 0.0, 0.0, 0.0, 1.0, 8.0, 0.0, 13.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 14.0, 15.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 14.0, 0.0, 0.0, 0.0, 9.0, 6.0, 0.0, 11.0, 15.0, 0.0, 0.0, 0.0, 8.0, 16.0, 16.0, 16.0, 6.0, 0.0], [0.0, 0.0, 9.0, 16.0, 16.0, 16.0, 7.0, 0.0, 0.0, 3.0, 16.0, 11.0, 4.0, 4.0, 1.0, 0.0, 0.0, 6.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 9.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 10.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 2.0, 0.0, 8.0, 14.0, 0.0, 0.0, 0.0, 0.0, 13.0, 7.0, 8.0, 14.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 16.0, 4.0, 0.0, 0.0], [0.0, 0.0, 0.0, 14.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 14.0, 16.0, 4.0, 0.0, 0.0], [0.0, 0.0, 1.0, 13.0, 14.0, 1.0, 0.0, 0.0, 0.0, 1.0, 11.0, 16.0, 10.0, 12.0, 0.0, 0.0, 0.0, 6.0, 16.0, 15.0, 0.0, 13.0, 3.0, 0.0, 0.0, 7.0, 14.0, 5.0, 0.0, 8.0, 9.0, 0.0, 0.0, 6.0, 13.0, 0.0, 0.0, 8.0, 11.0, 0.0, 0.0, 4.0, 15.0, 0.0, 1.0, 14.0, 9.0, 0.0, 0.0, 0.0, 14.0, 8.0, 12.0, 16.0, 3.0, 0.0, 0.0, 0.0, 3.0, 15.0, 15.0, 4.0, 0.0, 0.0], [0.0, 0.0, 2.0, 14.0, 13.0, 1.0, 0.0, 0.0, 0.0, 0.0, 14.0, 16.0, 13.0, 11.0, 0.0, 0.0, 0.0, 4.0, 16.0, 11.0, 1.0, 13.0, 3.0, 0.0, 0.0, 5.0, 16.0, 3.0, 0.0, 10.0, 9.0, 0.0, 0.0, 6.0, 13.0, 0.0, 0.0, 9.0, 11.0, 0.0, 0.0, 2.0, 15.0, 0.0, 1.0, 15.0, 8.0, 0.0, 0.0, 0.0, 11.0, 12.0, 15.0, 15.0, 1.0, 0.0, 0.0, 0.0, 2.0, 13.0, 16.0, 5.0, 0.0, 0.0], [0.0, 0.0, 10.0, 16.0, 16.0, 10.0, 0.0, 0.0, 0.0, 4.0, 16.0, 6.0, 1.0, 16.0, 2.0, 0.0, 0.0, 0.0, 10.0, 0.0, 1.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 15.0, 4.0, 0.0, 0.0, 0.0, 0.0, 2.0, 13.0, 16.0, 12.0, 8.0, 0.0, 0.0, 0.0, 13.0, 15.0, 11.0, 8.0, 14.0, 7.0], [0.0, 0.0, 10.0, 16.0, 14.0, 6.0, 0.0, 0.0, 0.0, 0.0, 16.0, 8.0, 6.0, 16.0, 3.0, 0.0, 0.0, 0.0, 9.0, 5.0, 0.0, 13.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 11.0, 0.0, 0.0, 0.0, 0.0, 2.0, 9.0, 16.0, 10.0, 6.0, 1.0, 0.0, 0.0, 12.0, 16.0, 14.0, 13.0, 16.0, 8.0], [0.0, 0.0, 7.0, 15.0, 16.0, 15.0, 0.0, 0.0, 0.0, 2.0, 15.0, 2.0, 5.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 14.0, 11.0, 2.0, 0.0, 0.0, 0.0, 6.0, 16.0, 16.0, 16.0, 8.0, 0.0, 0.0, 0.0, 5.0, 13.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 12.0, 0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 6.0, 14.0, 16.0, 6.0, 0.0, 0.0, 0.0, 6.0, 16.0, 16.0, 8.0, 15.0, 0.0, 0.0, 0.0, 7.0, 14.0, 14.0, 12.0, 14.0, 0.0, 0.0, 0.0, 0.0, 13.0, 10.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 13.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 15.0, 5.0, 15.0, 4.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 15.0, 1.0, 0.0, 0.0], [0.0, 0.0, 10.0, 16.0, 13.0, 3.0, 0.0, 0.0, 0.0, 0.0, 6.0, 15.0, 12.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 6.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 8.0, 0.0, 0.0, 0.0, 0.0, 4.0, 15.0, 16.0, 13.0, 8.0, 5.0, 0.0, 0.0, 6.0, 16.0, 10.0, 9.0, 12.0, 15.0], [0.0, 0.0, 10.0, 16.0, 14.0, 2.0, 0.0, 0.0, 0.0, 3.0, 16.0, 9.0, 8.0, 14.0, 0.0, 0.0, 0.0, 5.0, 16.0, 3.0, 2.0, 15.0, 6.0, 0.0, 0.0, 5.0, 16.0, 3.0, 0.0, 12.0, 10.0, 0.0, 0.0, 7.0, 14.0, 0.0, 0.0, 12.0, 11.0, 0.0, 0.0, 7.0, 16.0, 1.0, 3.0, 16.0, 5.0, 0.0, 0.0, 4.0, 16.0, 7.0, 12.0, 11.0, 1.0, 0.0, 0.0, 0.0, 10.0, 16.0, 14.0, 3.0, 0.0, 0.0], [0.0, 0.0, 0.0, 1.0, 15.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 16.0, 13.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 16.0, 13.0, 0.0, 0.0, 0.0, 11.0, 16.0, 11.0, 13.0, 13.0, 0.0, 0.0, 0.0, 3.0, 7.0, 0.0, 12.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 15.0, 13.0, 0.0, 0.0], [0.0, 0.0, 11.0, 16.0, 16.0, 7.0, 0.0, 0.0, 0.0, 2.0, 16.0, 10.0, 11.0, 15.0, 0.0, 0.0, 0.0, 0.0, 15.0, 4.0, 4.0, 16.0, 3.0, 0.0, 0.0, 0.0, 3.0, 3.0, 5.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 2.0, 12.0, 15.0, 6.0, 4.0, 1.0, 0.0, 0.0, 10.0, 16.0, 16.0, 16.0, 16.0, 10.0], [0.0, 0.0, 0.0, 14.0, 14.0, 1.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 16.0, 8.0, 3.0, 0.0, 0.0, 0.0, 3.0, 16.0, 15.0, 8.0, 14.0, 2.0, 0.0, 0.0, 0.0, 16.0, 11.0, 0.0, 11.0, 10.0, 0.0, 0.0, 0.0, 9.0, 14.0, 7.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 12.0, 16.0, 14.0, 1.0, 0.0], [0.0, 0.0, 8.0, 16.0, 16.0, 12.0, 0.0, 0.0, 0.0, 0.0, 14.0, 12.0, 10.0, 14.0, 0.0, 0.0, 0.0, 0.0, 3.0, 3.0, 10.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 4.0, 0.0, 7.0, 14.0, 0.0, 0.0, 0.0, 2.0, 16.0, 5.0, 10.0, 16.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 16.0, 7.0, 0.0, 0.0], [0.0, 0.0, 7.0, 16.0, 16.0, 14.0, 0.0, 0.0, 0.0, 0.0, 16.0, 12.0, 10.0, 15.0, 1.0, 0.0, 0.0, 0.0, 10.0, 4.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 11.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 7.0, 0.0, 0.0, 0.0, 8.0, 4.0, 10.0, 15.0, 2.0, 0.0, 0.0, 0.0, 12.0, 16.0, 16.0, 6.0, 0.0, 0.0], [0.0, 0.0, 12.0, 16.0, 16.0, 5.0, 0.0, 0.0, 0.0, 3.0, 13.0, 8.0, 14.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 16.0, 0.0, 0.0, 0.0, 6.0, 16.0, 16.0, 16.0, 16.0, 13.0, 0.0, 0.0, 6.0, 9.0, 11.0, 16.0, 9.0, 5.0, 0.0, 0.0, 0.0, 0.0, 14.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 10.0, 0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 5.0, 15.0, 16.0, 15.0, 1.0, 0.0, 0.0, 10.0, 16.0, 11.0, 8.0, 16.0, 5.0, 0.0, 0.0, 12.0, 10.0, 1.0, 10.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 11.0, 1.0, 0.0, 0.0, 0.0, 0.0, 1.0, 10.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 2.0, 0.0, 7.0, 16.0, 0.0, 0.0, 0.0, 8.0, 13.0, 5.0, 15.0, 12.0, 0.0, 0.0, 0.0, 5.0, 15.0, 16.0, 14.0, 3.0, 0.0], [0.0, 0.0, 10.0, 16.0, 16.0, 10.0, 1.0, 0.0, 0.0, 4.0, 16.0, 11.0, 11.0, 16.0, 3.0, 0.0, 0.0, 1.0, 9.0, 1.0, 10.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 15.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 0.0, 0.0, 2.0, 12.0, 7.0, 4.0, 14.0, 15.0, 1.0, 0.0, 0.0, 11.0, 16.0, 16.0, 15.0, 4.0, 0.0], [0.0, 0.0, 0.0, 1.0, 13.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 14.0, 1.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 11.0, 0.0, 3.0, 8.0, 0.0, 0.0, 6.0, 15.0, 2.0, 0.0, 14.0, 7.0, 0.0, 0.0, 8.0, 16.0, 12.0, 13.0, 16.0, 4.0, 0.0, 0.0, 3.0, 11.0, 11.0, 15.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 9.0, 0.0, 0.0], [0.0, 0.0, 0.0, 14.0, 14.0, 1.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 10.0, 2.0, 0.0, 0.0, 0.0, 0.0, 14.0, 14.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 16.0, 14.0, 4.0, 0.0, 0.0, 0.0, 1.0, 16.0, 16.0, 8.0, 16.0, 2.0, 0.0, 0.0, 0.0, 14.0, 11.0, 0.0, 13.0, 9.0, 0.0, 0.0, 0.0, 9.0, 14.0, 6.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 14.0, 16.0, 14.0, 0.0, 0.0], [0.0, 0.0, 0.0, 14.0, 14.0, 1.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 16.0, 16.0, 9.0, 0.0, 0.0, 0.0, 1.0, 16.0, 15.0, 8.0, 14.0, 9.0, 0.0, 0.0, 0.0, 14.0, 12.0, 0.0, 12.0, 13.0, 0.0, 0.0, 0.0, 6.0, 14.0, 7.0, 16.0, 10.0, 0.0, 0.0, 0.0, 1.0, 13.0, 16.0, 13.0, 1.0, 0.0], [0.0, 0.0, 0.0, 12.0, 14.0, 1.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 15.0, 9.0, 2.0, 0.0, 0.0, 0.0, 1.0, 16.0, 15.0, 16.0, 15.0, 2.0, 0.0, 0.0, 0.0, 15.0, 7.0, 1.0, 12.0, 10.0, 0.0, 0.0, 0.0, 10.0, 14.0, 4.0, 15.0, 12.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 15.0, 5.0, 0.0], [0.0, 0.0, 0.0, 4.0, 14.0, 2.0, 0.0, 0.0, 0.0, 0.0, 1.0, 15.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 14.0, 0.0, 2.0, 8.0, 0.0, 0.0, 1.0, 15.0, 5.0, 0.0, 10.0, 11.0, 0.0, 0.0, 6.0, 14.0, 1.0, 6.0, 16.0, 5.0, 0.0, 0.0, 12.0, 16.0, 16.0, 16.0, 14.0, 2.0, 0.0, 0.0, 3.0, 12.0, 13.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 10.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 12.0, 14.0, 5.0, 0.0, 0.0, 0.0, 0.0, 6.0, 11.0, 4.0, 15.0, 0.0, 0.0, 0.0, 0.0, 8.0, 9.0, 8.0, 16.0, 3.0, 0.0, 0.0, 0.0, 3.0, 14.0, 13.0, 13.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 8.0, 0.0, 0.0, 0.0, 13.0, 6.0, 1.0, 7.0, 9.0, 0.0, 0.0, 0.0, 1.0, 10.0, 14.0, 15.0, 2.0, 0.0], [0.0, 0.0, 1.0, 15.0, 15.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 14.0, 16.0, 7.0, 0.0, 0.0], [0.0, 0.0, 7.0, 16.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 14.0, 13.0, 7.0, 4.0, 0.0, 0.0, 0.0, 5.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 15.0, 8.0, 6.0, 1.0, 0.0, 0.0, 0.0, 4.0, 12.0, 12.0, 16.0, 13.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 15.0, 6.0, 0.0, 0.0, 0.0, 5.0, 6.0, 6.0, 16.0, 4.0, 0.0, 0.0, 0.0, 7.0, 16.0, 16.0, 11.0, 1.0, 0.0], [0.0, 0.0, 1.0, 12.0, 12.0, 3.0, 0.0, 0.0, 0.0, 0.0, 9.0, 13.0, 5.0, 14.0, 0.0, 0.0, 0.0, 0.0, 15.0, 3.0, 0.0, 10.0, 2.0, 0.0, 0.0, 3.0, 16.0, 4.0, 0.0, 9.0, 4.0, 0.0, 0.0, 4.0, 13.0, 0.0, 0.0, 9.0, 2.0, 0.0, 0.0, 3.0, 13.0, 0.0, 1.0, 15.0, 0.0, 0.0, 0.0, 0.0, 13.0, 6.0, 8.0, 9.0, 0.0, 0.0, 0.0, 0.0, 2.0, 14.0, 12.0, 2.0, 0.0, 0.0], [0.0, 0.0, 8.0, 16.0, 6.0, 3.0, 0.0, 0.0, 0.0, 2.0, 13.0, 5.0, 10.0, 14.0, 0.0, 0.0, 0.0, 4.0, 14.0, 1.0, 9.0, 16.0, 0.0, 0.0, 0.0, 0.0, 12.0, 13.0, 8.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 0.0, 11.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 2.0, 0.0, 0.0, 0.0, 4.0, 1.0, 0.0, 14.0, 1.0, 0.0, 0.0, 0.0, 6.0, 15.0, 16.0, 10.0, 0.0, 0.0], [0.0, 0.0, 4.0, 9.0, 13.0, 13.0, 0.0, 0.0, 0.0, 1.0, 13.0, 15.0, 6.0, 2.0, 0.0, 0.0, 0.0, 0.0, 9.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 3.0, 4.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 16.0, 16.0, 8.0, 0.0, 0.0, 0.0, 2.0, 11.0, 3.0, 0.0, 10.0, 4.0, 0.0, 0.0, 0.0, 2.0, 5.0, 4.0, 15.0, 1.0, 0.0, 0.0, 0.0, 3.0, 12.0, 14.0, 8.0, 0.0, 0.0], [0.0, 1.0, 13.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 8.0, 15.0, 8.0, 15.0, 5.0, 0.0, 0.0, 0.0, 11.0, 9.0, 0.0, 12.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 16.0, 16.0, 10.0, 1.0, 0.0, 1.0, 16.0, 14.0, 10.0, 8.0, 11.0, 1.0], [0.0, 0.0, 2.0, 16.0, 14.0, 2.0, 0.0, 0.0, 0.0, 1.0, 12.0, 16.0, 16.0, 10.0, 0.0, 0.0, 0.0, 4.0, 16.0, 12.0, 12.0, 12.0, 0.0, 0.0, 0.0, 1.0, 15.0, 11.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 14.0, 14.0, 8.0, 0.0, 0.0, 0.0, 0.0, 10.0, 12.0, 6.0, 15.0, 0.0, 0.0, 0.0, 0.0, 2.0, 13.0, 16.0, 12.0, 0.0, 0.0], [0.0, 0.0, 7.0, 16.0, 14.0, 3.0, 0.0, 0.0, 0.0, 0.0, 9.0, 14.0, 11.0, 15.0, 0.0, 0.0, 0.0, 0.0, 1.0, 5.0, 0.0, 15.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 1.0, 12.0, 14.0, 1.0, 0.0, 0.0, 0.0, 5.0, 12.0, 16.0, 16.0, 14.0, 1.0, 0.0, 0.0, 8.0, 16.0, 14.0, 10.0, 13.0, 3.0], [0.0, 0.0, 5.0, 13.0, 11.0, 1.0, 0.0, 0.0, 0.0, 3.0, 16.0, 11.0, 8.0, 12.0, 0.0, 0.0, 0.0, 5.0, 16.0, 0.0, 0.0, 13.0, 3.0, 0.0, 0.0, 5.0, 13.0, 0.0, 0.0, 6.0, 7.0, 0.0, 0.0, 7.0, 10.0, 0.0, 0.0, 8.0, 7.0, 0.0, 0.0, 4.0, 13.0, 0.0, 1.0, 14.0, 5.0, 0.0, 0.0, 1.0, 15.0, 5.0, 12.0, 10.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 10.0, 1.0, 0.0, 0.0], [0.0, 0.0, 4.0, 15.0, 13.0, 2.0, 0.0, 0.0, 0.0, 4.0, 16.0, 15.0, 7.0, 11.0, 0.0, 0.0, 0.0, 8.0, 14.0, 14.0, 0.0, 14.0, 2.0, 0.0, 0.0, 7.0, 9.0, 12.0, 4.0, 8.0, 7.0, 0.0, 0.0, 6.0, 11.0, 0.0, 0.0, 7.0, 9.0, 0.0, 0.0, 2.0, 15.0, 1.0, 0.0, 10.0, 8.0, 0.0, 0.0, 0.0, 11.0, 8.0, 4.0, 15.0, 4.0, 0.0, 0.0, 0.0, 2.0, 14.0, 16.0, 10.0, 0.0, 0.0], [0.0, 0.0, 0.0, 3.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 9.0, 0.0, 0.0, 0.0, 3.0, 12.0, 16.0, 16.0, 8.0, 0.0, 0.0, 0.0, 13.0, 16.0, 9.0, 16.0, 8.0, 0.0, 0.0, 0.0, 1.0, 2.0, 0.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 9.0, 0.0, 0.0], [0.0, 1.0, 12.0, 16.0, 16.0, 15.0, 0.0, 0.0, 0.0, 7.0, 13.0, 7.0, 8.0, 16.0, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 8.0, 14.0, 0.0, 0.0, 0.0, 0.0, 7.0, 15.0, 16.0, 16.0, 11.0, 0.0, 0.0, 3.0, 15.0, 12.0, 15.0, 4.0, 2.0, 0.0, 0.0, 0.0, 1.0, 12.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 9.0, 0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 8.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 13.0, 8.0, 2.0, 0.0, 0.0, 0.0, 0.0, 13.0, 16.0, 13.0, 14.0, 4.0, 0.0, 0.0, 0.0, 11.0, 8.0, 2.0, 3.0, 13.0, 0.0, 0.0, 0.0, 7.0, 11.0, 5.0, 12.0, 11.0, 0.0, 0.0, 0.0, 1.0, 11.0, 12.0, 4.0, 0.0, 0.0], [0.0, 0.0, 13.0, 16.0, 16.0, 9.0, 0.0, 0.0, 0.0, 2.0, 16.0, 7.0, 7.0, 16.0, 0.0, 0.0, 0.0, 0.0, 4.0, 0.0, 11.0, 10.0, 0.0, 0.0, 0.0, 0.0, 1.0, 13.0, 14.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 15.0, 11.0, 1.0, 0.0, 0.0, 0.0, 0.0, 1.0, 2.0, 13.0, 10.0, 0.0, 0.0, 0.0, 8.0, 9.0, 1.0, 12.0, 11.0, 0.0, 0.0, 0.0, 11.0, 16.0, 16.0, 15.0, 1.0, 0.0], [0.0, 0.0, 7.0, 16.0, 12.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 7.0, 13.0, 3.0, 0.0, 0.0, 0.0, 0.0, 15.0, 2.0, 10.0, 6.0, 0.0, 0.0, 0.0, 0.0, 4.0, 0.0, 12.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 15.0, 14.0, 8.0, 7.0, 1.0, 0.0, 0.0, 6.0, 13.0, 12.0, 12.0, 15.0, 12.0], [0.0, 0.0, 1.0, 14.0, 14.0, 2.0, 0.0, 0.0, 0.0, 0.0, 1.0, 14.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 12.0, 1.0, 0.0, 0.0, 0.0, 0.0, 14.0, 16.0, 11.0, 0.0, 0.0], [0.0, 1.0, 8.0, 16.0, 15.0, 0.0, 0.0, 0.0, 0.0, 4.0, 13.0, 5.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 7.0, 14.0, 6.0, 2.0, 0.0, 0.0, 0.0, 12.0, 16.0, 14.0, 13.0, 8.0, 0.0, 0.0, 0.0, 8.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 8.0, 0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 7.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 14.0, 8.0, 0.0, 1.0, 0.0, 0.0, 0.0, 8.0, 14.0, 0.0, 9.0, 11.0, 0.0, 0.0, 1.0, 15.0, 6.0, 1.0, 14.0, 10.0, 0.0, 0.0, 8.0, 15.0, 0.0, 8.0, 16.0, 1.0, 0.0, 0.0, 10.0, 15.0, 9.0, 15.0, 15.0, 0.0, 0.0, 0.0, 5.0, 15.0, 14.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 15.0, 2.0, 0.0, 0.0], [0.0, 0.0, 0.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 16.0, 12.0, 9.0, 1.0, 0.0, 0.0, 0.0, 15.0, 16.0, 14.0, 13.0, 12.0, 0.0, 0.0, 0.0, 14.0, 15.0, 7.0, 0.0, 15.0, 6.0, 0.0, 0.0, 9.0, 14.0, 4.0, 7.0, 15.0, 8.0, 0.0, 0.0, 1.0, 13.0, 16.0, 16.0, 12.0, 1.0], [0.0, 0.0, 10.0, 16.0, 16.0, 10.0, 0.0, 0.0, 0.0, 8.0, 15.0, 7.0, 6.0, 14.0, 0.0, 0.0, 0.0, 1.0, 3.0, 0.0, 15.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 13.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 15.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 12.0, 0.0, 0.0, 0.0, 0.0, 6.0, 0.0, 12.0, 10.0, 0.0, 0.0, 0.0, 0.0, 13.0, 16.0, 15.0, 3.0, 0.0, 0.0], [0.0, 0.0, 2.0, 14.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 15.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 14.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 15.0, 12.0, 0.0, 0.0, 0.0], [0.0, 1.0, 12.0, 16.0, 14.0, 2.0, 0.0, 0.0, 0.0, 7.0, 15.0, 4.0, 13.0, 7.0, 0.0, 0.0, 0.0, 0.0, 2.0, 0.0, 12.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 13.0, 15.0, 9.0, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 8.0, 15.0, 0.0, 0.0, 0.0, 8.0, 4.0, 1.0, 12.0, 10.0, 0.0, 0.0, 1.0, 13.0, 16.0, 16.0, 13.0, 1.0, 0.0], [0.0, 0.0, 8.0, 16.0, 13.0, 2.0, 0.0, 0.0, 0.0, 2.0, 16.0, 8.0, 11.0, 14.0, 1.0, 0.0, 0.0, 3.0, 16.0, 1.0, 12.0, 16.0, 5.0, 0.0, 0.0, 0.0, 12.0, 16.0, 16.0, 13.0, 9.0, 0.0, 0.0, 0.0, 0.0, 4.0, 2.0, 9.0, 14.0, 0.0, 0.0, 0.0, 4.0, 5.0, 0.0, 8.0, 13.0, 0.0, 0.0, 1.0, 16.0, 11.0, 1.0, 13.0, 7.0, 0.0, 0.0, 0.0, 8.0, 15.0, 16.0, 15.0, 1.0, 0.0], [0.0, 0.0, 2.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 15.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 16.0, 11.0, 0.0, 0.0], [0.0, 0.0, 3.0, 13.0, 16.0, 13.0, 1.0, 0.0, 0.0, 3.0, 15.0, 13.0, 10.0, 16.0, 2.0, 0.0, 0.0, 4.0, 10.0, 0.0, 4.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 3.0, 11.0, 14.0, 2.0, 0.0, 0.0, 0.0, 9.0, 16.0, 16.0, 16.0, 8.0, 0.0, 0.0, 0.0, 9.0, 12.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 12.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 8.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 10.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 10.0, 2.0, 0.0, 0.0, 0.0, 0.0, 12.0, 16.0, 12.0, 11.0, 5.0, 0.0, 0.0, 0.0, 11.0, 7.0, 3.0, 2.0, 14.0, 0.0, 0.0, 0.0, 6.0, 13.0, 0.0, 4.0, 13.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 15.0, 5.0, 0.0], [0.0, 0.0, 6.0, 12.0, 13.0, 7.0, 0.0, 0.0, 0.0, 0.0, 16.0, 10.0, 16.0, 12.0, 0.0, 0.0, 0.0, 0.0, 13.0, 7.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 1.0, 15.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 7.0, 10.0, 2.0, 0.0, 0.0, 0.0, 0.0, 13.0, 4.0, 13.0, 3.0, 0.0, 0.0, 0.0, 0.0, 7.0, 15.0, 9.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 0.0, 12.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 4.0, 15.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 10.0, 0.0, 8.0, 10.0, 0.0, 0.0, 6.0, 15.0, 1.0, 1.0, 15.0, 8.0, 0.0, 0.0, 7.0, 16.0, 8.0, 10.0, 16.0, 7.0, 0.0, 0.0, 4.0, 15.0, 16.0, 16.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 9.0, 0.0, 0.0], [0.0, 0.0, 5.0, 16.0, 16.0, 10.0, 0.0, 0.0, 0.0, 2.0, 16.0, 14.0, 14.0, 14.0, 0.0, 0.0, 0.0, 2.0, 14.0, 4.0, 14.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 13.0, 0.0, 0.0, 0.0, 7.0, 11.0, 8.0, 16.0, 11.0, 0.0, 0.0, 0.0, 8.0, 16.0, 16.0, 10.0, 1.0, 0.0], [0.0, 0.0, 2.0, 16.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 15.0, 13.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 6.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 1.0, 13.0, 13.0, 1.0, 2.0, 1.0, 0.0, 0.0, 7.0, 16.0, 5.0, 1.0, 14.0, 10.0, 0.0, 0.0, 12.0, 16.0, 8.0, 12.0, 16.0, 2.0, 0.0, 0.0, 2.0, 12.0, 15.0, 16.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 15.0, 0.0, 0.0, 0.0], [0.0, 0.0, 4.0, 16.0, 12.0, 1.0, 0.0, 0.0, 0.0, 2.0, 16.0, 16.0, 11.0, 8.0, 0.0, 0.0, 0.0, 3.0, 16.0, 13.0, 1.0, 14.0, 2.0, 0.0, 0.0, 4.0, 16.0, 0.0, 0.0, 13.0, 4.0, 0.0, 0.0, 4.0, 15.0, 0.0, 0.0, 13.0, 8.0, 0.0, 0.0, 1.0, 16.0, 1.0, 0.0, 14.0, 5.0, 0.0, 0.0, 0.0, 10.0, 8.0, 7.0, 15.0, 1.0, 0.0, 0.0, 0.0, 2.0, 13.0, 16.0, 8.0, 0.0, 0.0], [0.0, 0.0, 7.0, 16.0, 15.0, 4.0, 0.0, 0.0, 0.0, 0.0, 3.0, 13.0, 4.0, 2.0, 0.0, 0.0, 0.0, 0.0, 9.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 16.0, 13.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 11.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 13.0, 6.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 14.0, 0.0, 0.0, 0.0], [0.0, 0.0, 9.0, 16.0, 16.0, 7.0, 0.0, 0.0, 0.0, 13.0, 15.0, 9.0, 12.0, 15.0, 0.0, 0.0, 0.0, 5.0, 4.0, 0.0, 13.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 10.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 12.0, 13.0, 0.0, 0.0, 0.0, 7.0, 1.0, 1.0, 12.0, 14.0, 0.0, 0.0, 0.0, 9.0, 16.0, 16.0, 14.0, 5.0, 0.0], [0.0, 0.0, 0.0, 15.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 16.0, 16.0, 9.0, 1.0, 0.0, 0.0, 0.0, 14.0, 11.0, 0.0, 8.0, 9.0, 0.0, 0.0, 0.0, 11.0, 14.0, 3.0, 2.0, 14.0, 0.0, 0.0, 0.0, 8.0, 11.0, 4.0, 14.0, 7.0, 0.0, 0.0, 0.0, 1.0, 12.0, 14.0, 6.0, 0.0, 0.0], [0.0, 0.0, 6.0, 12.0, 15.0, 9.0, 1.0, 0.0, 0.0, 5.0, 14.0, 4.0, 5.0, 16.0, 3.0, 0.0, 0.0, 9.0, 8.0, 3.0, 13.0, 16.0, 4.0, 0.0, 0.0, 3.0, 15.0, 15.0, 7.0, 10.0, 8.0, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 12.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 2.0, 0.0, 0.0, 0.0, 7.0, 4.0, 5.0, 13.0, 0.0, 0.0, 0.0, 0.0, 5.0, 14.0, 15.0, 4.0, 0.0, 0.0], [0.0, 0.0, 3.0, 16.0, 14.0, 1.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 9.0, 1.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 14.0, 16.0, 12.0, 2.0, 0.0, 0.0, 4.0, 16.0, 14.0, 13.0, 11.0, 14.0, 0.0, 0.0, 0.0, 16.0, 5.0, 3.0, 7.0, 16.0, 3.0, 0.0, 0.0, 11.0, 12.0, 8.0, 16.0, 10.0, 0.0, 0.0, 0.0, 2.0, 14.0, 16.0, 12.0, 0.0, 0.0], [0.0, 0.0, 2.0, 16.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 12.0, 15.0, 0.0, 0.0, 0.0], [0.0, 0.0, 8.0, 16.0, 15.0, 4.0, 0.0, 0.0, 0.0, 10.0, 16.0, 11.0, 13.0, 12.0, 0.0, 0.0, 0.0, 12.0, 7.0, 0.0, 13.0, 8.0, 0.0, 0.0, 0.0, 0.0, 1.0, 7.0, 16.0, 12.0, 5.0, 0.0, 0.0, 5.0, 15.0, 16.0, 16.0, 14.0, 9.0, 0.0, 0.0, 2.0, 8.0, 15.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 13.0, 0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 11.0, 16.0, 16.0, 11.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 7.0, 2.0, 0.0, 0.0, 0.0, 1.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 15.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 8.0, 0.0, 0.0, 0.0, 0.0, 3.0, 8.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 14.0, 16.0, 9.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 1.0, 11.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 13.0, 1.0, 0.0, 0.0, 0.0, 0.0, 8.0, 15.0, 3.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 6.0, 1.0, 5.0, 2.0, 0.0, 0.0, 12.0, 13.0, 8.0, 13.0, 16.0, 9.0, 0.0, 0.0, 16.0, 16.0, 13.0, 11.0, 16.0, 6.0, 0.0, 0.0, 3.0, 4.0, 0.0, 11.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 12.0, 0.0, 0.0], [0.0, 0.0, 0.0, 3.0, 14.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 11.0, 1.0, 0.0, 0.0, 0.0, 0.0, 9.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 4.0, 0.0, 4.0, 2.0, 0.0, 0.0, 12.0, 12.0, 7.0, 14.0, 16.0, 10.0, 0.0, 0.0, 13.0, 16.0, 14.0, 11.0, 16.0, 4.0, 0.0, 0.0, 2.0, 2.0, 0.0, 11.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 9.0, 0.0, 0.0], [0.0, 0.0, 3.0, 13.0, 16.0, 16.0, 5.0, 0.0, 0.0, 4.0, 15.0, 13.0, 10.0, 16.0, 6.0, 0.0, 0.0, 1.0, 8.0, 1.0, 4.0, 16.0, 4.0, 0.0, 0.0, 0.0, 1.0, 6.0, 11.0, 16.0, 10.0, 0.0, 0.0, 0.0, 13.0, 16.0, 16.0, 13.0, 3.0, 0.0, 0.0, 0.0, 10.0, 7.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 8.0, 0.0, 0.0, 0.0], [0.0, 0.0, 7.0, 14.0, 11.0, 1.0, 0.0, 0.0, 0.0, 6.0, 15.0, 6.0, 7.0, 10.0, 0.0, 0.0, 0.0, 11.0, 7.0, 0.0, 2.0, 12.0, 0.0, 0.0, 0.0, 5.0, 4.0, 0.0, 1.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 13.0, 2.0, 3.0, 0.0, 0.0, 0.0, 7.0, 16.0, 16.0, 16.0, 16.0, 6.0], [0.0, 0.0, 8.0, 15.0, 14.0, 7.0, 0.0, 0.0, 0.0, 0.0, 12.0, 16.0, 14.0, 16.0, 0.0, 0.0, 0.0, 0.0, 3.0, 15.0, 14.0, 14.0, 1.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 5.0, 14.0, 14.0, 4.0, 0.0, 0.0, 0.0, 0.0, 12.0, 6.0, 8.0, 8.0, 0.0, 0.0, 0.0, 1.0, 16.0, 2.0, 9.0, 7.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 11.0, 1.0, 0.0, 0.0], [0.0, 0.0, 11.0, 16.0, 11.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 11.0, 15.0, 6.0, 0.0, 0.0, 0.0, 1.0, 10.0, 3.0, 10.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 5.0, 0.0, 0.0, 0.0, 1.0, 13.0, 16.0, 16.0, 13.0, 8.0, 0.0, 0.0, 0.0, 11.0, 11.0, 8.0, 13.0, 16.0, 7.0], [0.0, 0.0, 9.0, 16.0, 13.0, 1.0, 0.0, 0.0, 0.0, 8.0, 16.0, 8.0, 11.0, 8.0, 0.0, 0.0, 0.0, 11.0, 10.0, 0.0, 8.0, 10.0, 0.0, 0.0, 0.0, 1.0, 5.0, 0.0, 11.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 4.0, 14.0, 15.0, 7.0, 4.0, 1.0, 0.0, 0.0, 8.0, 16.0, 16.0, 16.0, 16.0, 12.0], [0.0, 0.0, 9.0, 16.0, 16.0, 16.0, 4.0, 0.0, 0.0, 0.0, 8.0, 16.0, 5.0, 4.0, 0.0, 0.0, 0.0, 1.0, 15.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 15.0, 8.0, 7.0, 3.0, 0.0, 0.0, 0.0, 3.0, 12.0, 12.0, 14.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 11.0, 12.0, 0.0, 0.0, 0.0, 1.0, 2.0, 1.0, 11.0, 10.0, 0.0, 0.0, 0.0, 9.0, 16.0, 16.0, 16.0, 4.0, 0.0], [0.0, 0.0, 2.0, 13.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 13.0, 7.0, 7.0, 13.0, 0.0, 0.0, 0.0, 1.0, 7.0, 0.0, 7.0, 13.0, 2.0, 0.0, 0.0, 0.0, 1.0, 10.0, 16.0, 16.0, 13.0, 0.0, 0.0, 0.0, 6.0, 13.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 1.0, 5.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 14.0, 0.0, 0.0, 0.0, 0.0], [0.0, 1.0, 8.0, 11.0, 13.0, 12.0, 0.0, 0.0, 0.0, 5.0, 9.0, 0.0, 4.0, 16.0, 1.0, 0.0, 0.0, 7.0, 5.0, 0.0, 5.0, 16.0, 5.0, 0.0, 0.0, 1.0, 13.0, 11.0, 13.0, 6.0, 8.0, 0.0, 0.0, 0.0, 3.0, 4.0, 1.0, 4.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 5.0, 0.0, 0.0, 2.0, 8.0, 1.0, 2.0, 14.0, 0.0, 0.0, 0.0, 0.0, 8.0, 13.0, 11.0, 3.0, 0.0, 0.0], [0.0, 0.0, 14.0, 16.0, 16.0, 16.0, 2.0, 0.0, 0.0, 7.0, 16.0, 5.0, 1.0, 0.0, 0.0, 0.0, 0.0, 14.0, 13.0, 7.0, 3.0, 0.0, 0.0, 0.0, 0.0, 4.0, 12.0, 13.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 14.0, 0.0, 0.0, 0.0, 0.0, 5.0, 14.0, 16.0, 3.0, 0.0, 0.0, 0.0, 1.0, 15.0, 11.0, 4.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 2.0, 14.0, 5.0, 0.0, 0.0, 0.0, 0.0, 1.0, 11.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 14.0, 1.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 3.0, 4.0, 6.0, 2.0, 0.0, 0.0, 14.0, 16.0, 14.0, 16.0, 16.0, 10.0, 0.0, 0.0, 9.0, 12.0, 7.0, 8.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 15.0, 6.0, 0.0, 0.0], [0.0, 0.0, 2.0, 15.0, 15.0, 3.0, 0.0, 0.0, 0.0, 3.0, 12.0, 15.0, 10.0, 13.0, 0.0, 0.0, 0.0, 3.0, 16.0, 14.0, 11.0, 14.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 16.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 16.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 15.0, 10.0, 0.0, 0.0, 0.0], [0.0, 0.0, 4.0, 15.0, 15.0, 4.0, 0.0, 0.0, 0.0, 6.0, 16.0, 16.0, 12.0, 14.0, 0.0, 0.0, 0.0, 11.0, 11.0, 6.0, 14.0, 12.0, 0.0, 0.0, 0.0, 3.0, 14.0, 13.0, 14.0, 1.0, 0.0, 0.0, 0.0, 0.0, 12.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 13.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 10.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 15.0, 15.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 5.0, 15.0, 3.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 12.0, 0.0, 2.0, 12.0, 0.0, 0.0, 3.0, 16.0, 1.0, 0.0, 11.0, 10.0, 0.0, 0.0, 9.0, 13.0, 0.0, 3.0, 16.0, 5.0, 0.0, 0.0, 13.0, 15.0, 16.0, 16.0, 12.0, 0.0, 0.0, 0.0, 5.0, 12.0, 14.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 15.0, 2.0, 0.0, 0.0], [0.0, 0.0, 1.0, 11.0, 12.0, 9.0, 5.0, 0.0, 0.0, 0.0, 14.0, 6.0, 1.0, 15.0, 10.0, 0.0, 0.0, 2.0, 12.0, 4.0, 12.0, 7.0, 10.0, 0.0, 0.0, 1.0, 13.0, 12.0, 3.0, 4.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 8.0, 0.0, 0.0, 0.0, 3.0, 4.0, 0.0, 7.0, 6.0, 0.0, 0.0, 0.0, 12.0, 7.0, 3.0, 11.0, 0.0, 0.0, 0.0, 0.0, 3.0, 13.0, 15.0, 3.0, 0.0, 0.0], [0.0, 0.0, 2.0, 15.0, 13.0, 2.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 15.0, 12.0, 0.0, 0.0, 0.0, 0.0, 9.0, 14.0, 1.0, 15.0, 5.0, 0.0, 0.0, 0.0, 14.0, 13.0, 0.0, 11.0, 9.0, 0.0, 0.0, 3.0, 16.0, 11.0, 0.0, 12.0, 9.0, 0.0, 0.0, 2.0, 16.0, 3.0, 2.0, 16.0, 6.0, 0.0, 0.0, 1.0, 13.0, 11.0, 15.0, 14.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 15.0, 5.0, 0.0, 0.0], [0.0, 0.0, 10.0, 9.0, 14.0, 10.0, 0.0, 0.0, 0.0, 2.0, 15.0, 15.0, 4.0, 14.0, 2.0, 0.0, 0.0, 0.0, 13.0, 5.0, 9.0, 12.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 14.0, 2.0, 0.0, 0.0, 0.0, 0.0, 11.0, 12.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 1.0, 12.0, 0.0, 0.0, 0.0, 0.0, 3.0, 12.0, 2.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 7.0, 0.0, 0.0, 0.0], [0.0, 0.0, 4.0, 14.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 12.0, 8.0, 9.0, 12.0, 0.0, 0.0, 0.0, 2.0, 11.0, 0.0, 0.0, 12.0, 3.0, 0.0, 0.0, 4.0, 7.0, 0.0, 0.0, 5.0, 8.0, 0.0, 0.0, 6.0, 4.0, 0.0, 0.0, 4.0, 8.0, 0.0, 0.0, 4.0, 9.0, 0.0, 0.0, 6.0, 8.0, 0.0, 0.0, 0.0, 14.0, 9.0, 6.0, 15.0, 2.0, 0.0, 0.0, 0.0, 4.0, 16.0, 15.0, 5.0, 0.0, 0.0], [0.0, 0.0, 0.0, 3.0, 15.0, 16.0, 1.0, 0.0, 0.0, 0.0, 7.0, 15.0, 16.0, 14.0, 0.0, 0.0, 0.0, 4.0, 16.0, 16.0, 15.0, 13.0, 0.0, 0.0, 0.0, 0.0, 8.0, 2.0, 15.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 3.0, 15.0, 13.0, 1.0, 0.0], [0.0, 1.0, 10.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 14.0, 8.0, 0.0, 0.0, 0.0, 0.0, 10.0, 11.0, 8.0, 12.0, 0.0, 0.0, 0.0, 0.0, 1.0, 1.0, 8.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 15.0, 5.0, 1.0, 2.0, 0.0, 0.0, 0.0, 10.0, 16.0, 14.0, 14.0, 12.0, 0.0, 0.0, 0.0, 14.0, 16.0, 16.0, 13.0, 7.0, 0.0], [0.0, 0.0, 8.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 6.0, 15.0, 1.0, 0.0, 0.0, 0.0, 4.0, 10.0, 0.0, 12.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 13.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 6.0, 0.0, 0.0, 0.0, 12.0, 9.0, 9.0, 16.0, 2.0, 0.0, 0.0, 0.0, 8.0, 16.0, 15.0, 7.0, 0.0, 0.0], [0.0, 0.0, 3.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 3.0, 13.0, 5.0, 0.0, 0.0, 0.0, 8.0, 13.0, 1.0, 16.0, 7.0, 6.0, 0.0, 0.0, 14.0, 13.0, 9.0, 16.0, 16.0, 10.0, 0.0, 0.0, 11.0, 16.0, 16.0, 14.0, 9.0, 3.0, 0.0, 0.0, 1.0, 4.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 6.0, 0.0, 0.0, 0.0], [0.0, 1.0, 12.0, 12.0, 12.0, 15.0, 6.0, 0.0, 0.0, 1.0, 14.0, 5.0, 5.0, 4.0, 1.0, 0.0, 0.0, 0.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 16.0, 15.0, 8.0, 0.0, 0.0, 0.0, 1.0, 4.0, 4.0, 5.0, 12.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 4.0, 0.0, 0.0, 2.0, 7.0, 2.0, 10.0, 12.0, 0.0, 0.0, 0.0, 2.0, 16.0, 15.0, 8.0, 1.0, 0.0, 0.0], [0.0, 0.0, 1.0, 13.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 13.0, 1.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 8.0, 4.0, 2.0, 0.0, 0.0, 0.0, 5.0, 16.0, 14.0, 16.0, 15.0, 3.0, 0.0, 0.0, 3.0, 13.0, 1.0, 0.0, 9.0, 9.0, 0.0, 0.0, 0.0, 11.0, 12.0, 4.0, 11.0, 11.0, 0.0, 0.0, 0.0, 2.0, 13.0, 16.0, 13.0, 1.0, 0.0], [0.0, 0.0, 0.0, 11.0, 16.0, 16.0, 10.0, 0.0, 0.0, 0.0, 10.0, 12.0, 9.0, 15.0, 9.0, 0.0, 0.0, 0.0, 13.0, 8.0, 0.0, 12.0, 5.0, 0.0, 0.0, 0.0, 6.0, 0.0, 4.0, 12.0, 0.0, 0.0, 0.0, 0.0, 2.0, 15.0, 16.0, 16.0, 9.0, 0.0, 0.0, 0.0, 6.0, 13.0, 15.0, 9.0, 1.0, 0.0, 0.0, 0.0, 0.0, 9.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 14.0, 4.0, 0.0, 0.0, 0.0], [0.0, 0.0, 4.0, 12.0, 13.0, 5.0, 0.0, 0.0, 0.0, 3.0, 15.0, 8.0, 10.0, 15.0, 2.0, 0.0, 0.0, 3.0, 14.0, 2.0, 2.0, 15.0, 3.0, 0.0, 0.0, 0.0, 10.0, 16.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 13.0, 15.0, 3.0, 0.0, 0.0, 0.0, 2.0, 11.0, 1.0, 12.0, 5.0, 0.0, 0.0, 0.0, 7.0, 9.0, 1.0, 14.0, 2.0, 0.0, 0.0, 0.0, 4.0, 16.0, 16.0, 7.0, 0.0, 0.0], [0.0, 0.0, 5.0, 12.0, 13.0, 12.0, 0.0, 0.0, 0.0, 7.0, 13.0, 5.0, 8.0, 15.0, 0.0, 0.0, 0.0, 4.0, 14.0, 4.0, 13.0, 16.0, 3.0, 0.0, 0.0, 0.0, 6.0, 12.0, 8.0, 9.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 8.0, 0.0, 0.0, 0.0, 1.0, 3.0, 2.0, 13.0, 6.0, 0.0, 0.0, 0.0, 6.0, 16.0, 16.0, 8.0, 1.0, 0.0], [0.0, 0.0, 3.0, 10.0, 16.0, 4.0, 0.0, 0.0, 0.0, 1.0, 15.0, 16.0, 16.0, 10.0, 0.0, 0.0, 0.0, 6.0, 10.0, 2.0, 3.0, 14.0, 1.0, 0.0, 0.0, 8.0, 6.0, 0.0, 0.0, 10.0, 4.0, 0.0, 0.0, 4.0, 8.0, 0.0, 0.0, 5.0, 8.0, 0.0, 0.0, 0.0, 15.0, 0.0, 0.0, 9.0, 8.0, 0.0, 0.0, 0.0, 12.0, 14.0, 10.0, 16.0, 3.0, 0.0, 0.0, 0.0, 4.0, 14.0, 13.0, 5.0, 0.0, 0.0], [0.0, 0.0, 0.0, 0.0, 9.0, 15.0, 0.0, 0.0, 0.0, 0.0, 1.0, 10.0, 16.0, 16.0, 1.0, 0.0, 0.0, 5.0, 16.0, 15.0, 14.0, 16.0, 0.0, 0.0, 0.0, 1.0, 8.0, 0.0, 10.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 3.0, 0.0], [0.0, 3.0, 16.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 15.0, 6.0, 0.0, 0.0, 0.0, 0.0, 13.0, 10.0, 13.0, 8.0, 0.0, 0.0, 0.0, 0.0, 1.0, 3.0, 11.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 10.0, 5.0, 7.0, 0.0, 0.0, 1.0, 13.0, 16.0, 16.0, 16.0, 16.0, 0.0, 0.0, 2.0, 14.0, 15.0, 11.0, 8.0, 3.0, 0.0], [0.0, 0.0, 12.0, 16.0, 15.0, 1.0, 0.0, 0.0, 0.0, 5.0, 16.0, 10.0, 15.0, 8.0, 0.0, 0.0, 0.0, 1.0, 7.0, 3.0, 14.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 13.0, 16.0, 6.0, 0.0, 0.0, 0.0, 4.0, 0.0, 0.0, 15.0, 11.0, 0.0, 0.0, 2.0, 16.0, 10.0, 11.0, 16.0, 7.0, 0.0, 0.0, 0.0, 10.0, 16.0, 16.0, 10.0, 1.0, 0.0], [0.0, 0.0, 0.0, 10.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 10.0, 1.0, 2.0, 0.0, 0.0, 0.0, 5.0, 15.0, 2.0, 15.0, 9.0, 1.0, 0.0, 0.0, 11.0, 13.0, 6.0, 16.0, 16.0, 9.0, 0.0, 0.0, 13.0, 16.0, 16.0, 16.0, 10.0, 2.0, 0.0, 0.0, 2.0, 7.0, 13.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 11.0, 0.0, 0.0, 0.0], [0.0, 0.0, 11.0, 10.0, 8.0, 12.0, 1.0, 0.0, 0.0, 0.0, 16.0, 13.0, 12.0, 10.0, 0.0, 0.0, 0.0, 5.0, 14.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 16.0, 13.0, 8.0, 0.0, 0.0, 0.0, 0.0, 4.0, 4.0, 8.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 8.0, 0.0, 0.0, 0.0, 9.0, 4.0, 7.0, 16.0, 5.0, 0.0, 0.0, 0.0, 14.0, 16.0, 14.0, 7.0, 0.0, 0.0], [0.0, 0.0, 2.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 14.0, 8.0, 7.0, 2.0, 0.0, 0.0, 0.0, 8.0, 15.0, 12.0, 13.0, 15.0, 2.0, 0.0, 0.0, 2.0, 15.0, 1.0, 0.0, 7.0, 11.0, 0.0, 0.0, 0.0, 13.0, 8.0, 5.0, 13.0, 9.0, 0.0, 0.0, 0.0, 2.0, 13.0, 16.0, 11.0, 1.0, 0.0], [0.0, 0.0, 1.0, 9.0, 16.0, 16.0, 16.0, 1.0, 0.0, 0.0, 8.0, 15.0, 10.0, 14.0, 13.0, 0.0, 0.0, 0.0, 14.0, 6.0, 0.0, 14.0, 6.0, 0.0, 0.0, 0.0, 6.0, 2.0, 6.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 12.0, 16.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 6.0, 0.0, 0.0, 0.0], [0.0, 0.0, 3.0, 12.0, 15.0, 11.0, 2.0, 0.0, 0.0, 0.0, 11.0, 13.0, 7.0, 13.0, 8.0, 0.0, 0.0, 7.0, 15.0, 1.0, 5.0, 15.0, 3.0, 0.0, 0.0, 1.0, 12.0, 16.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 15.0, 15.0, 2.0, 0.0, 0.0, 0.0, 2.0, 13.0, 0.0, 10.0, 5.0, 0.0, 0.0, 0.0, 4.0, 11.0, 4.0, 11.0, 6.0, 0.0, 0.0, 0.0, 2.0, 13.0, 16.0, 12.0, 0.0, 0.0], [0.0, 0.0, 11.0, 16.0, 16.0, 12.0, 0.0, 0.0, 0.0, 3.0, 16.0, 7.0, 14.0, 16.0, 1.0, 0.0, 0.0, 0.0, 15.0, 14.0, 15.0, 16.0, 6.0, 0.0, 0.0, 0.0, 2.0, 10.0, 9.0, 15.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 8.0, 0.0, 0.0, 0.0, 6.0, 11.0, 6.0, 15.0, 5.0, 0.0, 0.0, 0.0, 9.0, 16.0, 16.0, 12.0, 0.0, 0.0], [0.0, 0.0, 2.0, 9.0, 14.0, 12.0, 0.0, 0.0, 0.0, 0.0, 12.0, 16.0, 10.0, 15.0, 1.0, 0.0, 0.0, 4.0, 14.0, 3.0, 2.0, 6.0, 6.0, 0.0, 0.0, 5.0, 7.0, 0.0, 0.0, 3.0, 8.0, 0.0, 0.0, 4.0, 7.0, 0.0, 0.0, 1.0, 8.0, 0.0, 0.0, 3.0, 12.0, 1.0, 0.0, 5.0, 8.0, 0.0, 0.0, 0.0, 10.0, 12.0, 7.0, 14.0, 3.0, 0.0, 0.0, 0.0, 1.0, 12.0, 16.0, 8.0, 0.0, 0.0], [0.0, 0.0, 0.0, 0.0, 11.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 16.0, 2.0, 0.0, 0.0, 3.0, 13.0, 16.0, 16.0, 16.0, 0.0, 0.0, 0.0, 9.0, 16.0, 12.0, 16.0, 14.0, 0.0, 0.0, 0.0, 1.0, 3.0, 0.0, 16.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 7.0, 0.0], [0.0, 4.0, 16.0, 15.0, 2.0, 0.0, 0.0, 0.0, 0.0, 11.0, 15.0, 15.0, 7.0, 0.0, 0.0, 0.0, 0.0, 9.0, 10.0, 6.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 7.0, 2.0, 2.0, 0.0, 0.0, 1.0, 12.0, 16.0, 15.0, 16.0, 15.0, 0.0, 0.0, 4.0, 16.0, 16.0, 16.0, 12.0, 11.0, 0.0], [0.0, 1.0, 12.0, 15.0, 5.0, 0.0, 0.0, 0.0, 0.0, 4.0, 15.0, 8.0, 15.0, 3.0, 0.0, 0.0, 0.0, 0.0, 3.0, 1.0, 14.0, 4.0, 0.0, 0.0, 0.0, 0.0, 4.0, 14.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 1.0, 10.0, 14.0, 15.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 8.0, 0.0, 0.0, 4.0, 8.0, 4.0, 10.0, 16.0, 4.0, 0.0, 0.0, 2.0, 12.0, 16.0, 13.0, 6.0, 0.0, 0.0], [0.0, 0.0, 0.0, 12.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 15.0, 1.0, 1.0, 0.0, 0.0, 0.0, 1.0, 14.0, 8.0, 10.0, 8.0, 0.0, 0.0, 0.0, 6.0, 15.0, 0.0, 13.0, 12.0, 6.0, 0.0, 0.0, 14.0, 15.0, 12.0, 16.0, 16.0, 9.0, 0.0, 0.0, 10.0, 16.0, 15.0, 16.0, 8.0, 1.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 9.0, 0.0, 0.0, 0.0], [0.0, 2.0, 6.0, 10.0, 12.0, 1.0, 0.0, 0.0, 0.0, 14.0, 13.0, 10.0, 5.0, 1.0, 0.0, 0.0, 0.0, 10.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 13.0, 12.0, 12.0, 5.0, 0.0, 0.0, 0.0, 2.0, 8.0, 5.0, 7.0, 14.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 12.0, 0.0, 0.0, 0.0, 2.0, 2.0, 1.0, 10.0, 10.0, 0.0, 0.0, 0.0, 5.0, 16.0, 16.0, 14.0, 1.0, 0.0], [0.0, 0.0, 6.0, 14.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 14.0, 0.0, 4.0, 2.0, 0.0, 0.0, 0.0, 7.0, 16.0, 16.0, 16.0, 16.0, 5.0, 0.0, 0.0, 4.0, 16.0, 6.0, 0.0, 9.0, 11.0, 0.0, 0.0, 0.0, 14.0, 8.0, 5.0, 13.0, 9.0, 0.0, 0.0, 0.0, 5.0, 13.0, 16.0, 12.0, 1.0, 0.0], [0.0, 0.0, 1.0, 14.0, 16.0, 16.0, 15.0, 1.0, 0.0, 0.0, 11.0, 14.0, 8.0, 13.0, 11.0, 0.0, 0.0, 0.0, 15.0, 6.0, 0.0, 14.0, 3.0, 0.0, 0.0, 0.0, 5.0, 1.0, 5.0, 13.0, 1.0, 0.0, 0.0, 0.0, 0.0, 13.0, 16.0, 16.0, 9.0, 0.0, 0.0, 0.0, 2.0, 16.0, 15.0, 9.0, 1.0, 0.0, 0.0, 0.0, 0.0, 11.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 2.0, 0.0, 0.0, 0.0], [0.0, 0.0, 1.0, 14.0, 13.0, 4.0, 0.0, 0.0, 0.0, 3.0, 15.0, 12.0, 11.0, 15.0, 0.0, 0.0, 0.0, 8.0, 11.0, 1.0, 7.0, 13.0, 0.0, 0.0, 0.0, 1.0, 13.0, 14.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 13.0, 14.0, 2.0, 0.0, 0.0, 0.0, 2.0, 12.0, 0.0, 9.0, 8.0, 0.0, 0.0, 0.0, 3.0, 13.0, 4.0, 12.0, 6.0, 0.0, 0.0, 0.0, 0.0, 9.0, 14.0, 13.0, 1.0, 0.0], [0.0, 0.0, 8.0, 13.0, 14.0, 5.0, 0.0, 0.0, 0.0, 5.0, 13.0, 4.0, 11.0, 9.0, 0.0, 0.0, 0.0, 4.0, 13.0, 1.0, 12.0, 14.0, 0.0, 0.0, 0.0, 0.0, 8.0, 14.0, 11.0, 12.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 8.0, 0.0, 0.0, 0.0, 2.0, 2.0, 0.0, 11.0, 7.0, 0.0, 0.0, 0.0, 8.0, 16.0, 16.0, 13.0, 2.0, 0.0], [0.0, 0.0, 2.0, 12.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 14.0, 15.0, 6.0, 0.0, 0.0, 0.0, 6.0, 10.0, 4.0, 2.0, 14.0, 1.0, 0.0, 0.0, 8.0, 8.0, 0.0, 0.0, 8.0, 5.0, 0.0, 0.0, 7.0, 8.0, 0.0, 0.0, 4.0, 8.0, 0.0, 0.0, 2.0, 14.0, 0.0, 0.0, 5.0, 6.0, 0.0, 0.0, 0.0, 9.0, 12.0, 4.0, 14.0, 3.0, 0.0, 0.0, 0.0, 1.0, 13.0, 15.0, 9.0, 0.0, 0.0], [0.0, 1.0, 11.0, 15.0, 13.0, 2.0, 0.0, 0.0, 0.0, 8.0, 13.0, 5.0, 14.0, 9.0, 0.0, 0.0, 0.0, 3.0, 15.0, 1.0, 10.0, 12.0, 0.0, 0.0, 0.0, 0.0, 7.0, 15.0, 14.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 8.0, 0.0, 0.0, 2.0, 8.0, 4.0, 5.0, 16.0, 7.0, 0.0, 0.0, 1.0, 15.0, 16.0, 15.0, 8.0, 1.0, 0.0], [0.0, 0.0, 14.0, 12.0, 12.0, 12.0, 6.0, 0.0, 0.0, 2.0, 15.0, 8.0, 8.0, 8.0, 4.0, 0.0, 0.0, 5.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 12.0, 11.0, 7.0, 0.0, 0.0, 0.0, 1.0, 4.0, 4.0, 9.0, 15.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 8.0, 0.0, 0.0, 1.0, 11.0, 4.0, 5.0, 14.0, 7.0, 0.0, 0.0, 0.0, 12.0, 16.0, 16.0, 8.0, 1.0, 0.0], [0.0, 2.0, 9.0, 11.0, 12.0, 15.0, 6.0, 0.0, 0.0, 6.0, 16.0, 9.0, 8.0, 8.0, 1.0, 0.0, 0.0, 4.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 12.0, 11.0, 5.0, 0.0, 0.0, 0.0, 1.0, 5.0, 4.0, 8.0, 14.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 8.0, 0.0, 0.0, 1.0, 6.0, 4.0, 5.0, 15.0, 3.0, 0.0, 0.0, 3.0, 16.0, 16.0, 16.0, 8.0, 0.0, 0.0], [0.0, 0.0, 0.0, 9.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0, 10.0, 13.0, 4.0, 0.0, 0.0, 0.0, 0.0, 2.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 11.0, 4.0, 4.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 16.0, 16.0, 16.0, 4.0, 0.0, 0.0, 0.0, 16.0, 2.0, 0.0, 10.0, 8.0, 0.0, 0.0, 0.0, 8.0, 12.0, 4.0, 13.0, 7.0, 0.0, 0.0, 0.0, 1.0, 9.0, 16.0, 11.0, 1.0, 0.0], [0.0, 0.0, 8.0, 9.0, 8.0, 12.0, 8.0, 0.0, 0.0, 0.0, 12.0, 14.0, 10.0, 8.0, 5.0, 0.0, 0.0, 1.0, 14.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 12.0, 12.0, 8.0, 0.0, 0.0, 0.0, 1.0, 4.0, 4.0, 7.0, 15.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 7.0, 0.0, 0.0, 1.0, 12.0, 4.0, 9.0, 15.0, 1.0, 0.0, 0.0, 0.0, 9.0, 16.0, 14.0, 3.0, 0.0, 0.0], [0.0, 0.0, 2.0, 15.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 16.0, 6.0, 0.0, 0.0, 0.0, 3.0, 14.0, 3.0, 7.0, 16.0, 3.0, 0.0, 0.0, 7.0, 8.0, 0.0, 0.0, 8.0, 8.0, 0.0, 0.0, 5.0, 8.0, 0.0, 0.0, 4.0, 8.0, 0.0, 0.0, 4.0, 12.0, 0.0, 0.0, 8.0, 8.0, 0.0, 0.0, 0.0, 14.0, 9.0, 8.0, 16.0, 2.0, 0.0, 0.0, 0.0, 3.0, 14.0, 15.0, 6.0, 0.0, 0.0], [0.0, 0.0, 9.0, 12.0, 13.0, 6.0, 0.0, 0.0, 0.0, 0.0, 16.0, 8.0, 8.0, 15.0, 2.0, 0.0, 0.0, 0.0, 16.0, 10.0, 9.0, 16.0, 5.0, 0.0, 0.0, 0.0, 4.0, 12.0, 11.0, 12.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 7.0, 0.0, 0.0, 0.0, 8.0, 4.0, 7.0, 16.0, 2.0, 0.0, 0.0, 0.0, 10.0, 16.0, 16.0, 7.0, 0.0, 0.0], [0.0, 0.0, 1.0, 12.0, 12.0, 4.0, 1.0, 0.0, 0.0, 0.0, 13.0, 13.0, 13.0, 14.0, 8.0, 0.0, 0.0, 6.0, 15.0, 0.0, 0.0, 12.0, 7.0, 0.0, 0.0, 2.0, 16.0, 13.0, 12.0, 13.0, 1.0, 0.0, 0.0, 0.0, 0.0, 14.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 6.0, 10.0, 2.0, 16.0, 0.0, 0.0, 0.0, 0.0, 11.0, 8.0, 5.0, 16.0, 0.0, 0.0, 0.0, 0.0, 3.0, 12.0, 16.0, 7.0, 0.0, 0.0], [0.0, 1.0, 14.0, 16.0, 14.0, 8.0, 0.0, 0.0, 0.0, 5.0, 12.0, 5.0, 14.0, 9.0, 0.0, 0.0, 0.0, 2.0, 15.0, 9.0, 13.0, 12.0, 0.0, 0.0, 0.0, 0.0, 3.0, 8.0, 8.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 6.0, 0.0, 0.0, 0.0, 4.0, 0.0, 0.0, 8.0, 8.0, 0.0, 0.0, 4.0, 14.0, 4.0, 5.0, 14.0, 7.0, 0.0, 0.0, 1.0, 13.0, 16.0, 16.0, 10.0, 1.0, 0.0], [0.0, 0.0, 2.0, 11.0, 13.0, 5.0, 0.0, 0.0, 0.0, 0.0, 16.0, 10.0, 13.0, 16.0, 7.0, 0.0, 0.0, 0.0, 14.0, 10.0, 0.0, 10.0, 11.0, 0.0, 0.0, 0.0, 4.0, 14.0, 16.0, 13.0, 1.0, 0.0, 0.0, 0.0, 0.0, 11.0, 13.0, 12.0, 1.0, 0.0, 0.0, 0.0, 8.0, 10.0, 2.0, 14.0, 3.0, 0.0, 0.0, 0.0, 10.0, 10.0, 3.0, 15.0, 1.0, 0.0, 0.0, 0.0, 2.0, 15.0, 16.0, 6.0, 0.0, 0.0], [0.0, 0.0, 0.0, 5.0, 15.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 10.0, 2.0, 0.0, 0.0, 0.0, 0.0, 12.0, 14.0, 4.0, 15.0, 0.0, 0.0, 0.0, 6.0, 16.0, 4.0, 9.0, 15.0, 8.0, 0.0, 0.0, 14.0, 15.0, 11.0, 15.0, 16.0, 9.0, 0.0, 0.0, 7.0, 15.0, 15.0, 16.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 2.0, 0.0, 0.0], [0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 16.0, 4.0, 0.0, 0.0, 2.0, 11.0, 15.0, 16.0, 16.0, 7.0, 0.0, 0.0, 10.0, 16.0, 13.0, 10.0, 16.0, 4.0, 0.0, 0.0, 1.0, 3.0, 0.0, 4.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 6.0, 0.0], [0.0, 0.0, 3.0, 15.0, 16.0, 16.0, 5.0, 0.0, 0.0, 0.0, 10.0, 12.0, 10.0, 16.0, 6.0, 0.0, 0.0, 2.0, 15.0, 2.0, 3.0, 16.0, 1.0, 0.0, 0.0, 0.0, 2.0, 3.0, 10.0, 13.0, 2.0, 0.0, 0.0, 0.0, 3.0, 16.0, 16.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 12.0, 13.0, 7.0, 1.0, 0.0, 0.0, 0.0, 1.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 14.0, 2.0, 0.0, 0.0, 0.0], [0.0, 0.0, 1.0, 13.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 8.0, 14.0, 13.0, 14.0, 0.0, 0.0, 0.0, 1.0, 15.0, 5.0, 5.0, 15.0, 0.0, 0.0, 0.0, 7.0, 12.0, 0.0, 9.0, 11.0, 0.0, 0.0, 0.0, 1.0, 2.0, 11.0, 15.0, 16.0, 7.0, 0.0, 0.0, 0.0, 4.0, 15.0, 16.0, 9.0, 1.0, 0.0, 0.0, 0.0, 0.0, 10.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 15.0, 7.0, 0.0, 0.0, 0.0], [0.0, 0.0, 8.0, 13.0, 12.0, 3.0, 0.0, 0.0, 0.0, 6.0, 15.0, 7.0, 9.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 15.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 15.0, 7.0, 0.0, 0.0, 0.0, 11.0, 2.0, 1.0, 15.0, 7.0, 0.0, 0.0, 0.0, 8.0, 16.0, 16.0, 12.0, 0.0, 0.0], [0.0, 0.0, 14.0, 12.0, 12.0, 13.0, 0.0, 0.0, 0.0, 1.0, 16.0, 8.0, 8.0, 6.0, 0.0, 0.0, 0.0, 4.0, 15.0, 8.0, 4.0, 0.0, 0.0, 0.0, 0.0, 2.0, 12.0, 12.0, 15.0, 13.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 13.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 7.0, 0.0, 0.0, 5.0, 14.0, 4.0, 7.0, 15.0, 2.0, 0.0, 0.0, 1.0, 10.0, 16.0, 15.0, 5.0, 0.0, 0.0], [0.0, 0.0, 0.0, 0.0, 3.0, 14.0, 3.0, 0.0, 0.0, 0.0, 0.0, 1.0, 14.0, 16.0, 5.0, 0.0, 0.0, 1.0, 9.0, 15.0, 16.0, 16.0, 4.0, 0.0, 0.0, 4.0, 12.0, 7.0, 3.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 4.0, 0.0], [0.0, 0.0, 3.0, 12.0, 8.0, 1.0, 0.0, 0.0, 0.0, 0.0, 14.0, 16.0, 16.0, 15.0, 1.0, 0.0, 0.0, 3.0, 15.0, 2.0, 1.0, 12.0, 4.0, 0.0, 0.0, 6.0, 9.0, 0.0, 0.0, 7.0, 8.0, 0.0, 0.0, 7.0, 8.0, 0.0, 0.0, 5.0, 8.0, 0.0, 0.0, 4.0, 12.0, 0.0, 0.0, 9.0, 6.0, 0.0, 0.0, 0.0, 15.0, 11.0, 9.0, 16.0, 2.0, 0.0, 0.0, 0.0, 3.0, 11.0, 15.0, 7.0, 0.0, 0.0], [0.0, 0.0, 3.0, 13.0, 9.0, 1.0, 0.0, 0.0, 0.0, 0.0, 13.0, 14.0, 15.0, 13.0, 0.0, 0.0, 0.0, 2.0, 14.0, 1.0, 2.0, 13.0, 4.0, 0.0, 0.0, 4.0, 8.0, 0.0, 0.0, 5.0, 8.0, 0.0, 0.0, 4.0, 8.0, 0.0, 0.0, 4.0, 8.0, 0.0, 0.0, 4.0, 10.0, 0.0, 0.0, 5.0, 8.0, 0.0, 0.0, 0.0, 14.0, 11.0, 10.0, 14.0, 5.0, 0.0, 0.0, 0.0, 4.0, 12.0, 13.0, 9.0, 0.0, 0.0], [0.0, 3.0, 15.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 11.0, 15.0, 12.0, 15.0, 0.0, 0.0, 0.0, 0.0, 2.0, 2.0, 2.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 15.0, 4.0, 1.0, 0.0, 0.0, 1.0, 10.0, 16.0, 16.0, 16.0, 11.0, 0.0, 0.0, 4.0, 16.0, 14.0, 12.0, 8.0, 3.0, 0.0], [0.0, 1.0, 15.0, 15.0, 2.0, 0.0, 0.0, 0.0, 0.0, 7.0, 14.0, 13.0, 9.0, 0.0, 0.0, 0.0, 0.0, 9.0, 9.0, 6.0, 13.0, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 8.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 16.0, 16.0, 7.0, 0.0, 0.0, 0.0, 16.0, 15.0, 12.0, 12.0, 3.0, 0.0], [0.0, 0.0, 0.0, 8.0, 16.0, 16.0, 16.0, 6.0, 0.0, 0.0, 6.0, 14.0, 5.0, 8.0, 16.0, 2.0, 0.0, 0.0, 7.0, 4.0, 0.0, 6.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 6.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 12.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 9.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 4.0, 14.0, 14.0, 1.0, 0.0, 0.0, 0.0, 3.0, 14.0, 12.0, 10.0, 4.0, 0.0, 0.0, 3.0, 13.0, 4.0, 0.0, 8.0, 6.0, 0.0, 0.0, 3.0, 15.0, 9.0, 2.0, 15.0, 1.0, 0.0, 0.0, 0.0, 2.0, 10.0, 16.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 14.0, 4.0, 0.0, 0.0, 0.0, 0.0, 2.0, 12.0, 9.0, 3.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 14.0, 0.0, 0.0], [0.0, 5.0, 16.0, 15.0, 3.0, 0.0, 0.0, 0.0, 0.0, 11.0, 14.0, 11.0, 11.0, 0.0, 0.0, 0.0, 0.0, 8.0, 11.0, 4.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 9.0, 5.0, 1.0, 0.0, 0.0, 1.0, 11.0, 16.0, 16.0, 16.0, 10.0, 0.0, 0.0, 5.0, 16.0, 14.0, 8.0, 6.0, 1.0, 0.0], [0.0, 0.0, 11.0, 16.0, 10.0, 1.0, 0.0, 0.0, 0.0, 1.0, 15.0, 14.0, 15.0, 11.0, 0.0, 0.0, 0.0, 7.0, 14.0, 1.0, 4.0, 16.0, 3.0, 0.0, 0.0, 7.0, 13.0, 0.0, 0.0, 10.0, 11.0, 0.0, 0.0, 9.0, 12.0, 0.0, 0.0, 8.0, 12.0, 0.0, 0.0, 5.0, 14.0, 0.0, 0.0, 7.0, 13.0, 0.0, 0.0, 1.0, 16.0, 10.0, 5.0, 15.0, 8.0, 0.0, 0.0, 0.0, 7.0, 16.0, 16.0, 15.0, 0.0, 0.0], [0.0, 0.0, 0.0, 1.0, 8.0, 16.0, 2.0, 0.0, 0.0, 0.0, 5.0, 13.0, 16.0, 16.0, 0.0, 0.0, 0.0, 11.0, 16.0, 15.0, 12.0, 16.0, 0.0, 0.0, 0.0, 3.0, 8.0, 1.0, 8.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 8.0, 0.0], [0.0, 1.0, 15.0, 15.0, 3.0, 0.0, 0.0, 0.0, 0.0, 8.0, 15.0, 12.0, 14.0, 0.0, 0.0, 0.0, 0.0, 8.0, 8.0, 6.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 10.0, 10.0, 5.0, 0.0, 0.0, 1.0, 13.0, 16.0, 16.0, 16.0, 11.0, 0.0, 0.0, 3.0, 16.0, 12.0, 8.0, 5.0, 1.0, 0.0], [0.0, 0.0, 0.0, 13.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 12.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 14.0, 0.0, 4.0, 5.0, 0.0, 0.0, 0.0, 7.0, 16.0, 4.0, 7.0, 14.0, 7.0, 0.0, 0.0, 3.0, 14.0, 0.0, 0.0, 4.0, 12.0, 0.0, 0.0, 0.0, 10.0, 10.0, 4.0, 10.0, 12.0, 0.0, 0.0, 0.0, 1.0, 9.0, 16.0, 14.0, 2.0, 0.0], [0.0, 2.0, 10.0, 16.0, 16.0, 2.0, 0.0, 0.0, 0.0, 10.0, 15.0, 9.0, 16.0, 4.0, 0.0, 0.0, 0.0, 5.0, 3.0, 6.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 2.0, 15.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 1.0, 10.0, 14.0, 16.0, 3.0, 0.0, 0.0, 0.0, 5.0, 1.0, 0.0, 13.0, 10.0, 0.0, 0.0, 0.0, 16.0, 13.0, 10.0, 15.0, 11.0, 0.0, 0.0, 0.0, 11.0, 16.0, 16.0, 13.0, 3.0, 0.0], [0.0, 0.0, 8.0, 13.0, 11.0, 1.0, 0.0, 0.0, 0.0, 4.0, 15.0, 5.0, 12.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 13.0, 15.0, 3.0, 0.0, 0.0, 0.0, 1.0, 0.0, 0.0, 7.0, 12.0, 0.0, 0.0, 1.0, 15.0, 8.0, 7.0, 12.0, 12.0, 0.0, 0.0, 0.0, 6.0, 14.0, 16.0, 15.0, 5.0, 0.0], [0.0, 0.0, 3.0, 13.0, 16.0, 16.0, 13.0, 0.0, 0.0, 0.0, 11.0, 14.0, 8.0, 15.0, 9.0, 0.0, 0.0, 0.0, 3.0, 5.0, 2.0, 14.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 11.0, 1.0, 0.0, 0.0, 0.0, 2.0, 15.0, 15.0, 16.0, 9.0, 0.0, 0.0, 0.0, 2.0, 15.0, 14.0, 8.0, 2.0, 0.0, 0.0, 0.0, 0.0, 11.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 15.0, 4.0, 0.0, 0.0, 0.0], [0.0, 1.0, 11.0, 16.0, 16.0, 4.0, 0.0, 0.0, 0.0, 7.0, 16.0, 8.0, 14.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 2.0, 0.0, 0.0, 1.0, 5.0, 0.0, 0.0, 14.0, 9.0, 0.0, 0.0, 4.0, 16.0, 10.0, 11.0, 16.0, 6.0, 0.0, 0.0, 1.0, 13.0, 16.0, 16.0, 10.0, 0.0, 0.0], [0.0, 1.0, 12.0, 16.0, 16.0, 9.0, 0.0, 0.0, 0.0, 2.0, 14.0, 5.0, 9.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 12.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 8.0, 15.0, 5.0, 0.0, 0.0, 0.0, 2.0, 0.0, 0.0, 11.0, 9.0, 0.0, 0.0, 4.0, 14.0, 4.0, 4.0, 14.0, 6.0, 0.0, 0.0, 0.0, 15.0, 16.0, 16.0, 11.0, 1.0, 0.0], [0.0, 0.0, 0.0, 10.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 15.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 6.0, 5.0, 1.0, 0.0, 0.0, 0.0, 7.0, 15.0, 2.0, 16.0, 3.0, 5.0, 0.0, 0.0, 11.0, 11.0, 6.0, 16.0, 15.0, 10.0, 0.0, 0.0, 12.0, 16.0, 16.0, 16.0, 8.0, 1.0, 0.0, 0.0, 4.0, 8.0, 13.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 9.0, 0.0, 0.0, 0.0], [0.0, 0.0, 2.0, 12.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 16.0, 16.0, 10.0, 1.0, 0.0, 0.0, 2.0, 15.0, 6.0, 1.0, 10.0, 8.0, 0.0, 0.0, 0.0, 10.0, 10.0, 0.0, 9.0, 9.0, 0.0, 0.0, 0.0, 2.0, 12.0, 16.0, 15.0, 1.0, 0.0], [0.0, 0.0, 4.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 15.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 14.0, 9.0, 8.0, 6.0, 1.0, 0.0, 0.0, 7.0, 14.0, 7.0, 5.0, 12.0, 8.0, 0.0, 0.0, 2.0, 16.0, 4.0, 1.0, 12.0, 6.0, 0.0, 0.0, 0.0, 5.0, 14.0, 16.0, 11.0, 0.0, 0.0], [0.0, 0.0, 2.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 15.0, 5.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 7.0, 5.0, 1.0, 0.0, 0.0, 0.0, 7.0, 16.0, 16.0, 16.0, 15.0, 3.0, 0.0, 0.0, 5.0, 16.0, 12.0, 4.0, 10.0, 14.0, 0.0, 0.0, 0.0, 14.0, 13.0, 5.0, 10.0, 15.0, 0.0, 0.0, 0.0, 3.0, 13.0, 16.0, 16.0, 7.0, 0.0], [0.0, 0.0, 0.0, 6.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 15.0, 4.0, 0.0, 0.0, 0.0, 0.0, 1.0, 13.0, 9.0, 4.0, 7.0, 0.0, 0.0, 0.0, 7.0, 13.0, 1.0, 13.0, 10.0, 6.0, 0.0, 0.0, 14.0, 14.0, 8.0, 16.0, 16.0, 10.0, 0.0, 0.0, 7.0, 15.0, 16.0, 16.0, 7.0, 1.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 13.0, 0.0, 0.0, 0.0], [0.0, 1.0, 10.0, 13.0, 9.0, 2.0, 0.0, 0.0, 0.0, 2.0, 12.0, 4.0, 12.0, 10.0, 0.0, 0.0, 0.0, 0.0, 14.0, 5.0, 11.0, 11.0, 0.0, 0.0, 0.0, 0.0, 2.0, 8.0, 8.0, 15.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 12.0, 0.0, 0.0, 0.0, 4.0, 1.0, 0.0, 8.0, 11.0, 0.0, 0.0, 0.0, 11.0, 16.0, 16.0, 14.0, 3.0, 0.0], [0.0, 0.0, 0.0, 1.0, 9.0, 16.0, 7.0, 0.0, 0.0, 0.0, 4.0, 13.0, 16.0, 16.0, 2.0, 0.0, 0.0, 8.0, 16.0, 15.0, 13.0, 16.0, 3.0, 0.0, 0.0, 3.0, 7.0, 0.0, 8.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 16.0, 7.0, 0.0], [0.0, 0.0, 7.0, 8.0, 6.0, 8.0, 4.0, 0.0, 0.0, 0.0, 12.0, 13.0, 12.0, 12.0, 5.0, 0.0, 0.0, 0.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 15.0, 12.0, 9.0, 2.0, 0.0, 0.0, 0.0, 3.0, 8.0, 7.0, 8.0, 15.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 8.0, 0.0, 0.0, 0.0, 6.0, 0.0, 1.0, 13.0, 4.0, 0.0, 0.0, 0.0, 7.0, 15.0, 15.0, 5.0, 0.0, 0.0], [0.0, 0.0, 7.0, 16.0, 15.0, 1.0, 0.0, 0.0, 0.0, 5.0, 16.0, 13.0, 16.0, 8.0, 0.0, 0.0, 0.0, 9.0, 11.0, 0.0, 4.0, 16.0, 4.0, 0.0, 0.0, 12.0, 8.0, 0.0, 0.0, 11.0, 11.0, 0.0, 0.0, 11.0, 8.0, 0.0, 0.0, 8.0, 12.0, 0.0, 0.0, 8.0, 13.0, 0.0, 0.0, 12.0, 10.0, 0.0, 0.0, 2.0, 16.0, 9.0, 12.0, 15.0, 3.0, 0.0, 0.0, 0.0, 8.0, 16.0, 13.0, 5.0, 0.0, 0.0], [0.0, 4.0, 15.0, 14.0, 11.0, 2.0, 0.0, 0.0, 0.0, 7.0, 10.0, 1.0, 11.0, 11.0, 0.0, 0.0, 0.0, 1.0, 13.0, 4.0, 13.0, 16.0, 2.0, 0.0, 0.0, 0.0, 3.0, 11.0, 7.0, 9.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 8.0, 0.0, 0.0, 3.0, 12.0, 0.0, 3.0, 13.0, 5.0, 0.0, 0.0, 2.0, 13.0, 16.0, 16.0, 8.0, 0.0, 0.0], [0.0, 0.0, 11.0, 12.0, 13.0, 14.0, 4.0, 0.0, 0.0, 0.0, 13.0, 8.0, 4.0, 4.0, 2.0, 0.0, 0.0, 0.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 12.0, 6.0, 3.0, 0.0, 0.0, 0.0, 0.0, 5.0, 12.0, 12.0, 13.0, 11.0, 0.0, 0.0, 0.0, 0.0, 2.0, 0.0, 0.0, 13.0, 0.0, 0.0, 0.0, 4.0, 11.0, 0.0, 3.0, 15.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 16.0, 6.0, 0.0, 0.0], [0.0, 2.0, 15.0, 13.0, 1.0, 0.0, 0.0, 0.0, 0.0, 13.0, 12.0, 14.0, 7.0, 0.0, 0.0, 0.0, 0.0, 8.0, 6.0, 6.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 13.0, 14.0, 12.0, 0.0, 0.0, 3.0, 16.0, 14.0, 8.0, 8.0, 7.0, 0.0], [0.0, 0.0, 2.0, 9.0, 13.0, 12.0, 2.0, 0.0, 0.0, 1.0, 14.0, 13.0, 7.0, 10.0, 6.0, 0.0, 0.0, 0.0, 13.0, 8.0, 1.0, 7.0, 7.0, 0.0, 0.0, 0.0, 3.0, 13.0, 14.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0, 9.0, 5.0, 8.0, 5.0, 0.0, 0.0, 0.0, 0.0, 13.0, 4.0, 13.0, 2.0, 0.0, 0.0, 0.0, 0.0, 13.0, 15.0, 6.0, 0.0, 0.0], [0.0, 4.0, 16.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 11.0, 14.0, 11.0, 11.0, 0.0, 0.0, 0.0, 0.0, 11.0, 7.0, 2.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 8.0, 5.0, 3.0, 0.0, 0.0, 0.0, 12.0, 16.0, 16.0, 16.0, 16.0, 0.0, 0.0, 3.0, 16.0, 15.0, 8.0, 7.0, 4.0, 0.0], [0.0, 0.0, 10.0, 13.0, 5.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 16.0, 16.0, 10.0, 0.0, 0.0, 0.0, 8.0, 16.0, 1.0, 6.0, 16.0, 5.0, 0.0, 0.0, 8.0, 11.0, 0.0, 0.0, 9.0, 12.0, 0.0, 0.0, 10.0, 8.0, 0.0, 0.0, 8.0, 12.0, 0.0, 0.0, 8.0, 11.0, 0.0, 0.0, 8.0, 11.0, 0.0, 0.0, 3.0, 16.0, 10.0, 8.0, 15.0, 9.0, 0.0, 0.0, 0.0, 9.0, 16.0, 16.0, 10.0, 1.0, 0.0], [0.0, 0.0, 2.0, 11.0, 10.0, 1.0, 0.0, 0.0, 0.0, 0.0, 10.0, 13.0, 14.0, 13.0, 0.0, 0.0, 0.0, 0.0, 13.0, 0.0, 0.0, 14.0, 5.0, 0.0, 0.0, 3.0, 9.0, 0.0, 0.0, 9.0, 6.0, 0.0, 0.0, 5.0, 9.0, 0.0, 0.0, 5.0, 8.0, 0.0, 0.0, 6.0, 12.0, 0.0, 0.0, 8.0, 4.0, 0.0, 0.0, 0.0, 14.0, 11.0, 5.0, 14.0, 1.0, 0.0, 0.0, 0.0, 3.0, 13.0, 14.0, 5.0, 0.0, 0.0], [0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 7.0, 0.0, 0.0, 1.0, 5.0, 11.0, 16.0, 16.0, 8.0, 0.0, 0.0, 11.0, 16.0, 16.0, 13.0, 16.0, 8.0, 0.0, 0.0, 3.0, 7.0, 1.0, 4.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 8.0, 0.0], [0.0, 0.0, 2.0, 13.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 12.0, 12.0, 7.0, 16.0, 3.0, 0.0, 0.0, 1.0, 14.0, 3.0, 0.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 4.0, 10.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 13.0, 16.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 5.0, 13.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 4.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 14.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 13.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 7.0, 4.0, 2.0, 0.0, 0.0, 0.0, 8.0, 16.0, 11.0, 9.0, 15.0, 5.0, 0.0, 0.0, 5.0, 14.0, 1.0, 0.0, 10.0, 9.0, 0.0, 0.0, 0.0, 11.0, 12.0, 5.0, 13.0, 5.0, 0.0, 0.0, 0.0, 1.0, 13.0, 16.0, 9.0, 0.0, 0.0], [0.0, 1.0, 9.0, 15.0, 13.0, 4.0, 0.0, 0.0, 0.0, 5.0, 12.0, 4.0, 10.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 15.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 13.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 9.0, 14.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 8.0, 0.0, 0.0, 0.0, 10.0, 6.0, 4.0, 11.0, 7.0, 0.0, 0.0, 0.0, 8.0, 15.0, 16.0, 9.0, 1.0, 0.0], [0.0, 5.0, 16.0, 13.0, 1.0, 0.0, 0.0, 0.0, 0.0, 9.0, 14.0, 14.0, 4.0, 0.0, 0.0, 0.0, 0.0, 9.0, 7.0, 12.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 15.0, 16.0, 16.0, 16.0, 11.0, 0.0, 0.0, 5.0, 16.0, 14.0, 10.0, 8.0, 6.0, 0.0], [0.0, 0.0, 0.0, 3.0, 12.0, 12.0, 2.0, 0.0, 0.0, 0.0, 7.0, 15.0, 16.0, 16.0, 0.0, 0.0, 0.0, 4.0, 15.0, 9.0, 14.0, 16.0, 3.0, 0.0, 0.0, 2.0, 0.0, 0.0, 14.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 14.0, 1.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 13.0, 2.0, 0.0], [0.0, 0.0, 2.0, 13.0, 16.0, 14.0, 1.0, 0.0, 0.0, 0.0, 11.0, 12.0, 7.0, 16.0, 3.0, 0.0, 0.0, 0.0, 9.0, 3.0, 2.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 11.0, 0.0, 0.0, 0.0, 0.0, 2.0, 11.0, 15.0, 13.0, 3.0, 0.0, 0.0, 0.0, 4.0, 15.0, 16.0, 13.0, 3.0, 0.0, 0.0, 0.0, 0.0, 14.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 15.0, 4.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 7.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 10.0, 2.0, 6.0, 0.0, 0.0, 0.0, 3.0, 16.0, 3.0, 9.0, 13.0, 2.0, 0.0, 0.0, 11.0, 12.0, 6.0, 14.0, 16.0, 10.0, 0.0, 0.0, 11.0, 16.0, 16.0, 16.0, 10.0, 3.0, 0.0, 0.0, 2.0, 8.0, 10.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 13.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 13.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 10.0, 7.0, 1.0, 0.0, 0.0, 0.0, 6.0, 16.0, 12.0, 13.0, 16.0, 6.0, 0.0, 0.0, 0.0, 16.0, 4.0, 0.0, 6.0, 12.0, 0.0, 0.0, 0.0, 12.0, 10.0, 2.0, 11.0, 9.0, 0.0, 0.0, 0.0, 1.0, 13.0, 16.0, 15.0, 3.0, 0.0], [0.0, 0.0, 13.0, 16.0, 16.0, 5.0, 0.0, 0.0, 0.0, 5.0, 15.0, 6.0, 11.0, 13.0, 0.0, 0.0, 0.0, 0.0, 2.0, 2.0, 13.0, 8.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 15.0, 2.0, 0.0, 0.0, 0.0, 0.0, 3.0, 11.0, 15.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 15.0, 11.0, 0.0, 0.0, 0.0, 3.0, 4.0, 9.0, 16.0, 6.0, 0.0, 0.0, 0.0, 15.0, 16.0, 16.0, 10.0, 0.0, 0.0], [0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 5.0, 15.0, 16.0, 2.0, 0.0, 0.0, 3.0, 12.0, 16.0, 16.0, 14.0, 0.0, 0.0, 0.0, 10.0, 16.0, 15.0, 16.0, 15.0, 0.0, 0.0, 0.0, 1.0, 4.0, 0.0, 16.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 16.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 16.0, 6.0, 0.0], [0.0, 0.0, 11.0, 16.0, 12.0, 2.0, 0.0, 0.0, 0.0, 7.0, 16.0, 6.0, 10.0, 13.0, 0.0, 0.0, 0.0, 0.0, 2.0, 0.0, 3.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 12.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 12.0, 0.0, 0.0, 0.0, 0.0, 3.0, 0.0, 3.0, 15.0, 7.0, 0.0, 0.0, 3.0, 16.0, 7.0, 6.0, 14.0, 8.0, 0.0, 0.0, 1.0, 9.0, 15.0, 16.0, 12.0, 1.0, 0.0], [0.0, 0.0, 5.0, 13.0, 14.0, 5.0, 0.0, 0.0, 0.0, 2.0, 15.0, 6.0, 11.0, 15.0, 1.0, 0.0, 0.0, 1.0, 16.0, 5.0, 8.0, 16.0, 4.0, 0.0, 0.0, 0.0, 4.0, 12.0, 9.0, 13.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 7.0, 0.0, 0.0, 0.0, 7.0, 7.0, 5.0, 15.0, 2.0, 0.0, 0.0, 0.0, 5.0, 15.0, 16.0, 7.0, 0.0, 0.0], [0.0, 0.0, 0.0, 0.0, 5.0, 15.0, 3.0, 0.0, 0.0, 0.0, 0.0, 3.0, 15.0, 16.0, 4.0, 0.0, 0.0, 3.0, 13.0, 16.0, 14.0, 16.0, 1.0, 0.0, 0.0, 2.0, 7.0, 4.0, 8.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 15.0, 2.0, 0.0], [0.0, 0.0, 2.0, 13.0, 16.0, 13.0, 4.0, 0.0, 0.0, 0.0, 9.0, 11.0, 9.0, 16.0, 7.0, 0.0, 0.0, 2.0, 15.0, 2.0, 2.0, 15.0, 2.0, 0.0, 0.0, 3.0, 3.0, 0.0, 8.0, 13.0, 2.0, 0.0, 0.0, 0.0, 1.0, 13.0, 16.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 11.0, 13.0, 5.0, 1.0, 0.0, 0.0, 0.0, 0.0, 11.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 15.0, 2.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 12.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 15.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 7.0, 1.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 14.0, 16.0, 13.0, 1.0, 0.0, 0.0, 1.0, 16.0, 0.0, 1.0, 10.0, 11.0, 0.0, 0.0, 0.0, 14.0, 9.0, 1.0, 8.0, 12.0, 0.0, 0.0, 0.0, 2.0, 10.0, 16.0, 16.0, 5.0, 0.0], [0.0, 0.0, 3.0, 12.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 12.0, 9.0, 13.0, 16.0, 9.0, 0.0, 0.0, 3.0, 16.0, 5.0, 0.0, 8.0, 12.0, 0.0, 0.0, 0.0, 9.0, 16.0, 10.0, 13.0, 2.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 9.0, 16.0, 0.0, 0.0, 0.0, 0.0, 1.0, 15.0, 2.0, 12.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 16.0, 6.0, 0.0, 0.0], [0.0, 0.0, 0.0, 10.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 2.0, 3.0, 0.0, 0.0, 0.0, 0.0, 13.0, 8.0, 7.0, 14.0, 0.0, 0.0, 0.0, 7.0, 15.0, 0.0, 13.0, 14.0, 5.0, 0.0, 0.0, 14.0, 15.0, 14.0, 16.0, 16.0, 9.0, 0.0, 0.0, 13.0, 16.0, 15.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 1.0, 9.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 10.0, 0.0, 0.0, 0.0], [0.0, 0.0, 5.0, 12.0, 13.0, 3.0, 0.0, 0.0, 0.0, 4.0, 16.0, 9.0, 8.0, 12.0, 0.0, 0.0, 0.0, 2.0, 3.0, 0.0, 5.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 11.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 14.0, 15.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 11.0, 0.0, 0.0, 0.0, 10.0, 6.0, 4.0, 9.0, 11.0, 0.0, 0.0, 0.0, 6.0, 16.0, 16.0, 14.0, 2.0, 0.0], [0.0, 0.0, 0.0, 0.0, 5.0, 15.0, 6.0, 0.0, 0.0, 0.0, 0.0, 4.0, 15.0, 16.0, 4.0, 0.0, 0.0, 3.0, 11.0, 16.0, 10.0, 16.0, 4.0, 0.0, 0.0, 4.0, 11.0, 3.0, 0.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 15.0, 4.0, 0.0], [0.0, 0.0, 0.0, 14.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 9.0, 9.0, 7.0, 0.0, 0.0, 0.0, 6.0, 15.0, 1.0, 14.0, 11.0, 6.0, 0.0, 0.0, 13.0, 14.0, 8.0, 16.0, 16.0, 7.0, 0.0, 0.0, 8.0, 16.0, 16.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 1.0, 11.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 14.0, 0.0, 0.0, 0.0], [0.0, 0.0, 4.0, 12.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 14.0, 15.0, 7.0, 0.0, 0.0, 0.0, 2.0, 14.0, 1.0, 2.0, 16.0, 0.0, 0.0, 0.0, 4.0, 8.0, 0.0, 0.0, 10.0, 4.0, 0.0, 0.0, 7.0, 8.0, 0.0, 0.0, 6.0, 8.0, 0.0, 0.0, 4.0, 11.0, 0.0, 0.0, 5.0, 8.0, 0.0, 0.0, 0.0, 14.0, 11.0, 3.0, 13.0, 5.0, 0.0, 0.0, 0.0, 2.0, 11.0, 16.0, 11.0, 0.0, 0.0], [0.0, 0.0, 9.0, 12.0, 12.0, 13.0, 7.0, 0.0, 0.0, 0.0, 15.0, 5.0, 5.0, 4.0, 2.0, 0.0, 0.0, 4.0, 15.0, 10.0, 4.0, 0.0, 0.0, 0.0, 0.0, 2.0, 11.0, 11.0, 15.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 7.0, 0.0, 0.0, 5.0, 11.0, 4.0, 5.0, 14.0, 1.0, 0.0, 0.0, 0.0, 9.0, 16.0, 13.0, 3.0, 0.0, 0.0], [0.0, 0.0, 8.0, 15.0, 12.0, 4.0, 0.0, 0.0, 0.0, 5.0, 14.0, 4.0, 11.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 14.0, 3.0, 0.0, 0.0, 0.0, 0.0, 2.0, 15.0, 14.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 13.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 5.0, 0.0, 0.0, 0.0, 12.0, 2.0, 3.0, 12.0, 7.0, 0.0, 0.0, 0.0, 13.0, 16.0, 15.0, 8.0, 0.0, 0.0], [0.0, 0.0, 0.0, 10.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 14.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 8.0, 2.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 16.0, 16.0, 15.0, 3.0, 0.0, 0.0, 0.0, 16.0, 2.0, 0.0, 8.0, 12.0, 0.0, 0.0, 0.0, 11.0, 12.0, 5.0, 11.0, 12.0, 0.0, 0.0, 0.0, 1.0, 8.0, 16.0, 15.0, 2.0, 0.0], [0.0, 2.0, 11.0, 13.0, 11.0, 2.0, 0.0, 0.0, 0.0, 7.0, 12.0, 4.0, 13.0, 8.0, 0.0, 0.0, 0.0, 6.0, 13.0, 5.0, 14.0, 13.0, 0.0, 0.0, 0.0, 0.0, 3.0, 11.0, 9.0, 11.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 11.0, 0.0, 0.0, 0.0, 2.0, 0.0, 1.0, 9.0, 10.0, 0.0, 0.0, 1.0, 15.0, 16.0, 16.0, 14.0, 2.0, 0.0], [0.0, 0.0, 0.0, 7.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 15.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 5.0, 4.0, 1.0, 0.0, 0.0, 0.0, 5.0, 16.0, 16.0, 16.0, 12.0, 3.0, 0.0, 0.0, 1.0, 15.0, 4.0, 1.0, 8.0, 12.0, 0.0, 0.0, 0.0, 8.0, 14.0, 5.0, 5.0, 15.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 16.0, 11.0, 0.0], [0.0, 0.0, 0.0, 1.0, 10.0, 16.0, 8.0, 0.0, 0.0, 1.0, 8.0, 15.0, 16.0, 16.0, 9.0, 0.0, 0.0, 10.0, 16.0, 13.0, 11.0, 16.0, 8.0, 0.0, 0.0, 1.0, 4.0, 0.0, 10.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 7.0, 0.0], [0.0, 0.0, 3.0, 13.0, 16.0, 15.0, 6.0, 0.0, 0.0, 0.0, 13.0, 13.0, 9.0, 16.0, 10.0, 0.0, 0.0, 0.0, 16.0, 9.0, 0.0, 14.0, 6.0, 0.0, 0.0, 0.0, 14.0, 2.0, 6.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 15.0, 15.0, 6.0, 0.0, 0.0, 0.0, 0.0, 16.0, 15.0, 10.0, 2.0, 0.0, 0.0, 0.0, 0.0, 13.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 7.0, 0.0, 0.0, 0.0], [0.0, 0.0, 9.0, 9.0, 12.0, 12.0, 0.0, 0.0, 0.0, 0.0, 14.0, 10.0, 8.0, 3.0, 0.0, 0.0, 0.0, 0.0, 13.0, 6.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 16.0, 15.0, 12.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 12.0, 0.0, 0.0, 0.0, 5.0, 1.0, 2.0, 11.0, 8.0, 0.0, 0.0, 0.0, 10.0, 16.0, 16.0, 11.0, 1.0, 0.0], [0.0, 0.0, 0.0, 9.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 8.0, 2.0, 7.0, 0.0, 0.0, 0.0, 4.0, 16.0, 3.0, 13.0, 13.0, 3.0, 0.0, 0.0, 14.0, 13.0, 8.0, 16.0, 16.0, 10.0, 0.0, 0.0, 14.0, 16.0, 16.0, 16.0, 9.0, 1.0, 0.0, 0.0, 2.0, 4.0, 9.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 15.0, 2.0, 0.0, 0.0], [0.0, 0.0, 2.0, 15.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 15.0, 0.0, 1.0, 0.0, 0.0, 0.0, 0.0, 14.0, 9.0, 9.0, 9.0, 0.0, 0.0, 0.0, 8.0, 16.0, 4.0, 16.0, 13.0, 12.0, 0.0, 0.0, 13.0, 16.0, 16.0, 16.0, 15.0, 7.0, 0.0, 0.0, 3.0, 8.0, 13.0, 12.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 7.0, 0.0, 0.0, 0.0], [0.0, 0.0, 1.0, 12.0, 16.0, 16.0, 12.0, 0.0, 0.0, 0.0, 7.0, 16.0, 11.0, 12.0, 9.0, 0.0, 0.0, 0.0, 6.0, 7.0, 0.0, 14.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 8.0, 15.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 5.0, 0.0, 0.0, 0.0], [0.0, 3.0, 15.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 14.0, 13.0, 10.0, 16.0, 2.0, 0.0, 0.0, 0.0, 5.0, 3.0, 2.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 8.0, 0.0, 2.0, 0.0, 0.0, 0.0, 8.0, 16.0, 14.0, 16.0, 15.0, 0.0, 0.0, 2.0, 16.0, 16.0, 15.0, 12.0, 9.0, 0.0], [0.0, 0.0, 1.0, 10.0, 16.0, 15.0, 5.0, 0.0, 0.0, 0.0, 12.0, 12.0, 9.0, 9.0, 10.0, 0.0, 0.0, 4.0, 16.0, 1.0, 0.0, 7.0, 7.0, 0.0, 0.0, 4.0, 14.0, 13.0, 8.0, 11.0, 0.0, 0.0, 0.0, 0.0, 1.0, 6.0, 16.0, 14.0, 1.0, 0.0, 0.0, 0.0, 0.0, 8.0, 11.0, 14.0, 5.0, 0.0, 0.0, 0.0, 0.0, 12.0, 8.0, 15.0, 2.0, 0.0, 0.0, 0.0, 0.0, 10.0, 15.0, 5.0, 0.0, 0.0], [0.0, 1.0, 13.0, 16.0, 15.0, 5.0, 0.0, 0.0, 0.0, 4.0, 16.0, 7.0, 14.0, 12.0, 0.0, 0.0, 0.0, 3.0, 12.0, 2.0, 11.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 1.0, 11.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 14.0, 16.0, 7.0, 0.0, 0.0, 1.0, 16.0, 16.0, 15.0, 12.0, 5.0, 0.0], [0.0, 2.0, 15.0, 13.0, 2.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 13.0, 15.0, 0.0, 0.0, 0.0, 0.0, 11.0, 11.0, 5.0, 16.0, 4.0, 0.0, 0.0, 0.0, 1.0, 1.0, 7.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 8.0, 8.0, 2.0, 0.0, 0.0, 0.0, 12.0, 16.0, 16.0, 16.0, 11.0, 0.0, 0.0, 2.0, 15.0, 13.0, 6.0, 4.0, 1.0, 0.0], [0.0, 0.0, 15.0, 14.0, 15.0, 9.0, 0.0, 0.0, 0.0, 0.0, 12.0, 10.0, 7.0, 6.0, 4.0, 0.0, 0.0, 1.0, 14.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 12.0, 10.0, 4.0, 0.0, 0.0, 0.0, 4.0, 11.0, 8.0, 11.0, 15.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 7.0, 0.0, 0.0, 4.0, 16.0, 10.0, 11.0, 14.0, 1.0, 0.0, 0.0, 1.0, 10.0, 16.0, 15.0, 4.0, 0.0, 0.0], [0.0, 0.0, 2.0, 13.0, 16.0, 16.0, 7.0, 0.0, 0.0, 0.0, 12.0, 15.0, 12.0, 16.0, 10.0, 0.0, 0.0, 0.0, 16.0, 9.0, 0.0, 14.0, 6.0, 0.0, 0.0, 0.0, 3.0, 0.0, 4.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 10.0, 14.0, 16.0, 6.0, 0.0, 0.0, 0.0, 3.0, 16.0, 16.0, 11.0, 2.0, 0.0, 0.0, 0.0, 0.0, 9.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 15.0, 6.0, 0.0, 0.0, 0.0], [0.0, 0.0, 10.0, 8.0, 8.0, 4.0, 0.0, 0.0, 0.0, 8.0, 15.0, 12.0, 14.0, 14.0, 0.0, 0.0, 0.0, 9.0, 11.0, 0.0, 10.0, 16.0, 4.0, 0.0, 0.0, 1.0, 9.0, 12.0, 10.0, 12.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 7.0, 0.0, 0.0, 0.0, 11.0, 6.0, 4.0, 15.0, 4.0, 0.0, 0.0, 0.0, 13.0, 16.0, 16.0, 7.0, 0.0, 0.0], [0.0, 1.0, 13.0, 14.0, 16.0, 14.0, 3.0, 0.0, 0.0, 4.0, 14.0, 8.0, 7.0, 3.0, 0.0, 0.0, 0.0, 6.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 15.0, 11.0, 5.0, 0.0, 0.0, 0.0, 2.0, 7.0, 7.0, 10.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 0.0, 0.0, 0.0, 0.0, 7.0, 5.0, 13.0, 11.0, 0.0, 0.0, 0.0, 0.0, 15.0, 16.0, 10.0, 1.0, 0.0, 0.0], [0.0, 0.0, 0.0, 13.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 15.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 9.0, 6.0, 4.0, 0.0, 0.0, 0.0, 5.0, 16.0, 3.0, 13.0, 8.0, 1.0, 0.0, 0.0, 14.0, 16.0, 9.0, 16.0, 16.0, 9.0, 0.0, 0.0, 12.0, 16.0, 16.0, 16.0, 11.0, 3.0, 0.0, 0.0, 0.0, 4.0, 12.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 10.0, 0.0, 0.0, 0.0], [0.0, 0.0, 1.0, 8.0, 15.0, 11.0, 3.0, 0.0, 0.0, 0.0, 11.0, 12.0, 9.0, 14.0, 11.0, 0.0, 0.0, 2.0, 14.0, 0.0, 0.0, 13.0, 6.0, 0.0, 0.0, 7.0, 15.0, 8.0, 12.0, 9.0, 0.0, 0.0, 0.0, 0.0, 6.0, 13.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 9.0, 15.0, 4.0, 0.0, 0.0, 0.0, 0.0, 16.0, 8.0, 14.0, 3.0, 0.0, 0.0, 0.0, 0.0, 11.0, 15.0, 8.0, 0.0, 0.0], [0.0, 0.0, 2.0, 11.0, 14.0, 12.0, 3.0, 0.0, 0.0, 0.0, 14.0, 14.0, 9.0, 15.0, 8.0, 0.0, 0.0, 5.0, 12.0, 0.0, 5.0, 15.0, 2.0, 0.0, 0.0, 3.0, 16.0, 11.0, 15.0, 3.0, 0.0, 0.0, 0.0, 0.0, 1.0, 14.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 5.0, 15.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 10.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 13.0, 2.0, 0.0, 0.0], [0.0, 0.0, 0.0, 7.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 14.0, 6.0, 5.0, 0.0, 0.0, 0.0, 4.0, 16.0, 7.0, 14.0, 13.0, 2.0, 0.0, 0.0, 10.0, 16.0, 13.0, 16.0, 16.0, 10.0, 0.0, 0.0, 8.0, 15.0, 14.0, 16.0, 10.0, 1.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 15.0, 1.0, 0.0, 0.0], [0.0, 0.0, 6.0, 16.0, 16.0, 11.0, 0.0, 0.0, 0.0, 1.0, 16.0, 8.0, 8.0, 16.0, 6.0, 0.0, 0.0, 0.0, 8.0, 16.0, 14.0, 16.0, 11.0, 0.0, 0.0, 0.0, 1.0, 4.0, 3.0, 10.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 14.0, 1.0, 0.0, 0.0, 0.0, 4.0, 7.0, 11.0, 9.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 10.0, 1.0, 0.0, 0.0], [0.0, 0.0, 5.0, 12.0, 9.0, 1.0, 0.0, 0.0, 0.0, 0.0, 14.0, 14.0, 13.0, 13.0, 0.0, 0.0, 0.0, 3.0, 12.0, 1.0, 1.0, 13.0, 4.0, 0.0, 0.0, 7.0, 8.0, 0.0, 0.0, 6.0, 8.0, 0.0, 0.0, 8.0, 8.0, 0.0, 0.0, 5.0, 8.0, 0.0, 0.0, 5.0, 10.0, 0.0, 0.0, 11.0, 4.0, 0.0, 0.0, 1.0, 15.0, 9.0, 11.0, 13.0, 0.0, 0.0, 0.0, 0.0, 7.0, 15.0, 12.0, 2.0, 0.0, 0.0], [0.0, 0.0, 2.0, 9.0, 15.0, 12.0, 5.0, 0.0, 0.0, 0.0, 12.0, 11.0, 11.0, 12.0, 11.0, 0.0, 0.0, 1.0, 16.0, 1.0, 0.0, 8.0, 11.0, 0.0, 0.0, 3.0, 15.0, 12.0, 10.0, 15.0, 2.0, 0.0, 0.0, 0.0, 1.0, 11.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 15.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 15.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 13.0, 2.0, 0.0, 0.0], [0.0, 0.0, 9.0, 13.0, 15.0, 10.0, 1.0, 0.0, 0.0, 1.0, 15.0, 5.0, 7.0, 16.0, 5.0, 0.0, 0.0, 0.0, 15.0, 7.0, 10.0, 16.0, 6.0, 0.0, 0.0, 0.0, 2.0, 7.0, 7.0, 10.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 5.0, 0.0, 0.0, 0.0, 14.0, 6.0, 10.0, 12.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 12.0, 1.0, 0.0, 0.0], [0.0, 0.0, 1.0, 10.0, 11.0, 2.0, 0.0, 0.0, 0.0, 0.0, 12.0, 12.0, 8.0, 15.0, 4.0, 0.0, 0.0, 6.0, 11.0, 0.0, 1.0, 12.0, 7.0, 0.0, 0.0, 4.0, 16.0, 7.0, 15.0, 12.0, 0.0, 0.0, 0.0, 0.0, 5.0, 15.0, 15.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 7.0, 14.0, 0.0, 0.0, 0.0, 0.0, 4.0, 12.0, 7.0, 10.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 16.0, 3.0, 0.0, 0.0], [0.0, 0.0, 4.0, 16.0, 15.0, 2.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 13.0, 13.0, 0.0, 0.0, 0.0, 1.0, 16.0, 8.0, 1.0, 16.0, 2.0, 0.0, 0.0, 7.0, 16.0, 6.0, 0.0, 11.0, 8.0, 0.0, 0.0, 7.0, 16.0, 4.0, 0.0, 11.0, 8.0, 0.0, 0.0, 4.0, 15.0, 1.0, 1.0, 15.0, 7.0, 0.0, 0.0, 0.0, 13.0, 12.0, 14.0, 15.0, 1.0, 0.0, 0.0, 0.0, 3.0, 14.0, 16.0, 6.0, 0.0, 0.0], [0.0, 0.0, 0.0, 14.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 12.0, 16.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 4.0, 15.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 10.0, 0.0, 0.0, 0.0], [0.0, 0.0, 5.0, 13.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 12.0, 14.0, 2.0, 0.0, 0.0, 0.0, 0.0, 12.0, 0.0, 12.0, 6.0, 0.0, 0.0, 0.0, 0.0, 6.0, 1.0, 15.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 14.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 8.0, 2.0, 6.0, 3.0, 0.0, 0.0, 4.0, 8.0, 10.0, 16.0, 12.0, 1.0], [0.0, 0.0, 4.0, 16.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 1.0, 9.0, 10.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 5.0, 15.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 10.0, 0.0, 0.0, 0.0, 0.0, 11.0, 8.0, 12.0, 14.0, 1.0, 0.0, 0.0, 0.0, 5.0, 13.0, 16.0, 15.0, 0.0, 0.0], [0.0, 0.0, 1.0, 15.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 11.0, 0.0, 7.0, 4.0, 0.0, 0.0, 8.0, 16.0, 10.0, 6.0, 16.0, 9.0, 0.0, 0.0, 6.0, 16.0, 16.0, 16.0, 16.0, 4.0, 0.0, 0.0, 0.0, 5.0, 11.0, 16.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 15.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 11.0, 0.0, 0.0, 0.0], [0.0, 0.0, 11.0, 14.0, 16.0, 10.0, 0.0, 0.0, 0.0, 6.0, 15.0, 8.0, 6.0, 4.0, 0.0, 0.0, 0.0, 5.0, 12.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 16.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0, 3.0, 11.0, 11.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 16.0, 3.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 0.0, 13.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 15.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 11.0, 2.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 16.0, 14.0, 1.0, 0.0, 0.0, 0.0, 5.0, 16.0, 8.0, 8.0, 10.0, 0.0, 0.0, 0.0, 9.0, 16.0, 4.0, 0.0, 15.0, 0.0, 0.0, 0.0, 2.0, 9.0, 11.0, 13.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 10.0, 0.0], [0.0, 3.0, 13.0, 16.0, 13.0, 0.0, 0.0, 0.0, 0.0, 9.0, 13.0, 8.0, 16.0, 5.0, 1.0, 0.0, 0.0, 0.0, 8.0, 14.0, 16.0, 16.0, 5.0, 0.0, 0.0, 0.0, 8.0, 16.0, 15.0, 2.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 15.0, 3.0, 0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 1.0, 8.0, 13.0, 1.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 16.0, 9.0, 0.0, 0.0, 0.0, 1.0, 15.0, 16.0, 16.0, 10.0, 0.0, 0.0, 0.0, 6.0, 15.0, 14.0, 6.0, 0.0, 0.0, 0.0, 0.0, 3.0, 7.0, 6.0, 6.0, 0.0, 0.0, 0.0, 0.0, 1.0, 10.0, 2.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 11.0, 13.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 12.0, 5.0, 0.0, 0.0], [0.0, 0.0, 0.0, 1.0, 9.0, 14.0, 7.0, 0.0, 0.0, 0.0, 5.0, 14.0, 9.0, 8.0, 10.0, 0.0, 0.0, 2.0, 14.0, 16.0, 11.0, 13.0, 3.0, 0.0, 0.0, 3.0, 16.0, 16.0, 16.0, 16.0, 5.0, 0.0, 0.0, 0.0, 6.0, 7.0, 1.0, 11.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 13.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 0.0, 0.0, 0.0], [0.0, 0.0, 2.0, 16.0, 12.0, 1.0, 0.0, 0.0, 0.0, 0.0, 11.0, 15.0, 13.0, 11.0, 0.0, 0.0, 0.0, 2.0, 16.0, 9.0, 0.0, 14.0, 2.0, 0.0, 0.0, 4.0, 16.0, 12.0, 0.0, 11.0, 5.0, 0.0, 0.0, 4.0, 16.0, 6.0, 0.0, 12.0, 7.0, 0.0, 0.0, 0.0, 15.0, 1.0, 1.0, 15.0, 9.0, 0.0, 0.0, 0.0, 10.0, 9.0, 10.0, 15.0, 2.0, 0.0, 0.0, 0.0, 2.0, 13.0, 16.0, 8.0, 0.0, 0.0], [0.0, 0.0, 1.0, 15.0, 14.0, 1.0, 0.0, 0.0, 0.0, 2.0, 13.0, 16.0, 16.0, 3.0, 0.0, 0.0, 0.0, 5.0, 16.0, 16.0, 16.0, 4.0, 0.0, 0.0, 0.0, 4.0, 16.0, 16.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 11.0, 0.0, 0.0, 0.0], [0.0, 0.0, 2.0, 10.0, 12.0, 2.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 13.0, 10.0, 0.0, 0.0, 0.0, 0.0, 9.0, 7.0, 2.0, 15.0, 0.0, 0.0, 0.0, 0.0, 3.0, 2.0, 3.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 10.0, 0.0, 0.0, 0.0, 0.0, 2.0, 7.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 16.0, 16.0, 16.0, 3.0, 0.0, 0.0, 3.0, 13.0, 9.0, 8.0, 4.0, 0.0], [0.0, 0.0, 3.0, 11.0, 13.0, 15.0, 3.0, 0.0, 0.0, 4.0, 16.0, 14.0, 11.0, 16.0, 8.0, 0.0, 0.0, 2.0, 5.0, 0.0, 14.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 12.0, 0.0, 0.0, 0.0, 0.0, 8.0, 11.0, 15.0, 8.0, 0.0, 0.0, 0.0, 0.0, 2.0, 12.0, 14.0, 3.0, 0.0, 0.0], [0.0, 0.0, 1.0, 12.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 14.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 7.0, 0.0, 3.0, 5.0, 0.0, 0.0, 5.0, 16.0, 0.0, 4.0, 15.0, 4.0, 0.0, 0.0, 5.0, 16.0, 16.0, 16.0, 15.0, 2.0, 0.0, 0.0, 0.0, 11.0, 12.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 10.0, 0.0, 0.0, 0.0], [0.0, 0.0, 4.0, 13.0, 16.0, 14.0, 0.0, 0.0, 0.0, 2.0, 14.0, 16.0, 12.0, 4.0, 0.0, 0.0, 0.0, 13.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 10.0, 1.0, 0.0, 0.0, 0.0, 0.0, 5.0, 15.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 15.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 15.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 5.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 6.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 15.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 12.0, 7.0, 12.0, 2.0, 0.0, 0.0, 0.0, 9.0, 16.0, 15.0, 13.0, 6.0, 0.0, 0.0, 0.0, 13.0, 14.0, 2.0, 13.0, 6.0, 0.0, 0.0, 0.0, 14.0, 15.0, 13.0, 16.0, 4.0, 0.0, 0.0, 0.0, 1.0, 10.0, 16.0, 10.0, 0.0, 0.0], [0.0, 0.0, 0.0, 7.0, 16.0, 16.0, 11.0, 0.0, 0.0, 0.0, 6.0, 16.0, 16.0, 16.0, 16.0, 0.0, 0.0, 0.0, 11.0, 16.0, 16.0, 16.0, 9.0, 0.0, 0.0, 0.0, 2.0, 9.0, 11.0, 14.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 11.0, 1.0, 0.0, 0.0, 0.0, 0.0, 2.0, 14.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 3.0, 0.0, 0.0, 0.0], [0.0, 0.0, 5.0, 16.0, 14.0, 1.0, 0.0, 0.0, 0.0, 0.0, 14.0, 14.0, 14.0, 9.0, 0.0, 0.0, 0.0, 1.0, 15.0, 6.0, 1.0, 12.0, 1.0, 0.0, 0.0, 3.0, 16.0, 1.0, 0.0, 10.0, 4.0, 0.0, 0.0, 5.0, 16.0, 5.0, 0.0, 11.0, 2.0, 0.0, 0.0, 2.0, 16.0, 2.0, 3.0, 16.0, 0.0, 0.0, 0.0, 0.0, 11.0, 13.0, 14.0, 12.0, 0.0, 0.0, 0.0, 0.0, 3.0, 15.0, 15.0, 5.0, 0.0, 0.0], [0.0, 0.0, 2.0, 15.0, 14.0, 1.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 16.0, 4.0, 0.0, 0.0, 0.0, 4.0, 16.0, 16.0, 16.0, 1.0, 0.0, 0.0, 0.0, 7.0, 16.0, 16.0, 14.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 16.0, 11.0, 0.0, 0.0, 0.0, 0.0, 1.0, 13.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 14.0, 9.0, 0.0, 0.0, 0.0], [0.0, 0.0, 2.0, 12.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 14.0, 14.0, 9.0, 0.0, 0.0, 0.0, 3.0, 15.0, 1.0, 10.0, 9.0, 0.0, 0.0, 0.0, 2.0, 7.0, 0.0, 10.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 13.0, 14.0, 16.0, 4.0, 0.0, 0.0, 4.0, 15.0, 0.0, 0.0, 5.0, 4.0], [0.0, 0.0, 10.0, 16.0, 15.0, 7.0, 0.0, 0.0, 0.0, 6.0, 16.0, 6.0, 10.0, 16.0, 2.0, 0.0, 0.0, 8.0, 6.0, 5.0, 15.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 11.0, 16.0, 1.0, 0.0, 0.0, 0.0, 11.0, 16.0, 16.0, 8.0, 1.0, 0.0], [0.0, 0.0, 3.0, 15.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 6.0, 0.0, 8.0, 5.0, 0.0, 0.0, 12.0, 14.0, 0.0, 5.0, 16.0, 8.0, 0.0, 0.0, 12.0, 15.0, 14.0, 16.0, 13.0, 0.0, 0.0, 0.0, 1.0, 11.0, 14.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 4.0, 15.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 5.0, 0.0, 0.0, 0.0], [0.0, 0.0, 10.0, 16.0, 16.0, 14.0, 0.0, 0.0, 0.0, 4.0, 16.0, 14.0, 10.0, 8.0, 0.0, 0.0, 0.0, 13.0, 16.0, 8.0, 1.0, 0.0, 0.0, 0.0, 0.0, 12.0, 16.0, 16.0, 13.0, 2.0, 0.0, 0.0, 0.0, 3.0, 8.0, 9.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 5.0, 12.0, 15.0, 2.0, 0.0, 0.0, 0.0, 0.0, 12.0, 15.0, 5.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 1.0, 13.0, 1.0, 0.0, 0.0, 0.0, 0.0, 1.0, 14.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 14.0, 10.0, 3.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 16.0, 16.0, 1.0, 0.0, 0.0, 0.0, 8.0, 16.0, 15.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 2.0, 11.0, 11.0, 1.0, 0.0], [0.0, 0.0, 10.0, 16.0, 14.0, 2.0, 0.0, 0.0, 0.0, 0.0, 13.0, 13.0, 14.0, 11.0, 0.0, 0.0, 0.0, 0.0, 4.0, 8.0, 15.0, 15.0, 4.0, 0.0, 0.0, 0.0, 10.0, 16.0, 16.0, 13.0, 3.0, 0.0, 0.0, 0.0, 1.0, 12.0, 14.0, 1.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 12.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 7.0, 0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 5.0, 12.0, 16.0, 15.0, 0.0, 0.0, 0.0, 3.0, 16.0, 8.0, 9.0, 16.0, 0.0, 0.0, 0.0, 4.0, 16.0, 14.0, 16.0, 7.0, 0.0, 0.0, 0.0, 5.0, 16.0, 15.0, 5.0, 0.0, 0.0, 0.0, 0.0, 8.0, 15.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 8.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 10.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 15.0, 2.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 7.0, 12.0, 16.0, 16.0, 15.0, 0.0, 0.0, 9.0, 16.0, 10.0, 4.0, 16.0, 10.0, 0.0, 0.0, 14.0, 16.0, 13.0, 14.0, 12.0, 1.0, 0.0, 0.0, 4.0, 16.0, 16.0, 16.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 15.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 6.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 10.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 15.0, 13.0, 5.0, 0.0, 0.0, 0.0, 0.0, 13.0, 13.0, 1.0, 13.0, 0.0, 0.0, 0.0, 0.0, 16.0, 7.0, 0.0, 16.0, 0.0, 0.0, 0.0, 0.0, 16.0, 11.0, 3.0, 15.0, 0.0, 0.0, 0.0, 0.0, 14.0, 7.0, 16.0, 12.0, 0.0, 0.0, 0.0, 0.0, 9.0, 13.0, 15.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 10.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 4.0, 11.0, 15.0, 15.0, 2.0, 0.0, 1.0, 10.0, 16.0, 13.0, 14.0, 14.0, 2.0, 0.0, 5.0, 16.0, 16.0, 16.0, 16.0, 14.0, 0.0, 0.0, 0.0, 9.0, 8.0, 8.0, 15.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 2.0, 0.0, 0.0], [0.0, 0.0, 7.0, 15.0, 16.0, 16.0, 1.0, 0.0, 0.0, 9.0, 16.0, 16.0, 10.0, 5.0, 0.0, 0.0, 0.0, 14.0, 16.0, 16.0, 15.0, 0.0, 0.0, 0.0, 0.0, 11.0, 14.0, 13.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 13.0, 0.0, 0.0, 0.0, 0.0], [0.0, 8.0, 13.0, 15.0, 16.0, 16.0, 8.0, 0.0, 0.0, 9.0, 16.0, 16.0, 13.0, 11.0, 5.0, 0.0, 0.0, 6.0, 16.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 14.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 14.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 12.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 15.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 15.0, 8.0, 4.0, 0.0, 0.0, 0.0, 0.0, 15.0, 16.0, 16.0, 15.0, 3.0, 0.0, 0.0, 1.0, 16.0, 13.0, 4.0, 11.0, 11.0, 0.0, 0.0, 0.0, 11.0, 14.0, 9.0, 15.0, 11.0, 0.0, 0.0, 0.0, 1.0, 14.0, 16.0, 15.0, 6.0, 0.0], [0.0, 0.0, 5.0, 15.0, 14.0, 13.0, 2.0, 0.0, 0.0, 0.0, 12.0, 15.0, 9.0, 7.0, 1.0, 0.0, 0.0, 5.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 6.0, 12.0, 14.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 14.0, 0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 2.0, 14.0, 13.0, 3.0, 0.0, 0.0, 0.0, 0.0, 13.0, 13.0, 9.0, 11.0, 0.0, 0.0, 0.0, 0.0, 16.0, 7.0, 0.0, 12.0, 0.0, 0.0, 0.0, 3.0, 16.0, 5.0, 0.0, 10.0, 5.0, 0.0, 0.0, 5.0, 16.0, 1.0, 0.0, 8.0, 5.0, 0.0, 0.0, 3.0, 16.0, 1.0, 0.0, 10.0, 5.0, 0.0, 0.0, 0.0, 16.0, 8.0, 5.0, 14.0, 3.0, 0.0, 0.0, 0.0, 4.0, 16.0, 16.0, 9.0, 1.0, 0.0], [0.0, 0.0, 0.0, 4.0, 12.0, 16.0, 11.0, 0.0, 0.0, 0.0, 15.0, 12.0, 0.0, 5.0, 9.0, 0.0, 0.0, 4.0, 16.0, 5.0, 6.0, 15.0, 3.0, 0.0, 0.0, 3.0, 15.0, 16.0, 14.0, 1.0, 0.0, 0.0, 0.0, 0.0, 3.0, 10.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 12.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 9.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 1.0, 15.0, 5.0, 16.0, 3.0, 0.0, 0.0, 0.0, 13.0, 4.0, 0.0, 15.0, 5.0, 0.0, 0.0, 0.0, 15.0, 11.0, 14.0, 16.0, 2.0, 0.0, 0.0, 8.0, 16.0, 16.0, 13.0, 5.0, 0.0, 0.0, 0.0, 3.0, 15.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 15.0, 0.0, 0.0, 0.0], [0.0, 0.0, 6.0, 14.0, 16.0, 15.0, 1.0, 0.0, 0.0, 9.0, 16.0, 12.0, 9.0, 16.0, 3.0, 0.0, 0.0, 12.0, 16.0, 11.0, 14.0, 13.0, 0.0, 0.0, 0.0, 7.0, 15.0, 16.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 8.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 2.0, 13.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 1.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 8.0, 15.0, 4.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 10.0, 11.0, 0.0, 0.0, 0.0, 0.0, 6.0, 12.0, 11.0, 13.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 16.0, 9.0, 0.0, 0.0, 0.0, 1.0, 16.0, 12.0, 11.0, 5.0, 0.0, 0.0, 0.0, 2.0, 13.0, 0.0, 2.0, 9.0, 0.0, 0.0, 0.0, 0.0, 8.0, 6.0, 2.0, 12.0, 0.0, 0.0, 0.0, 0.0, 1.0, 9.0, 14.0, 9.0, 0.0, 0.0], [0.0, 0.0, 1.0, 13.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 9.0, 0.0, 7.0, 7.0, 0.0, 0.0, 3.0, 16.0, 3.0, 2.0, 15.0, 9.0, 0.0, 0.0, 9.0, 16.0, 8.0, 12.0, 15.0, 0.0, 0.0, 0.0, 6.0, 16.0, 16.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 3.0, 12.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 9.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 13.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 15.0, 0.0, 0.0, 0.0], [0.0, 0.0, 8.0, 15.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 7.0, 10.0, 10.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 14.0, 12.0, 1.0, 0.0, 0.0, 3.0, 16.0, 16.0, 16.0, 12.0, 4.0, 0.0, 0.0, 1.0, 10.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 1.0, 0.0, 0.0, 0.0, 0.0], [0.0, 2.0, 10.0, 16.0, 12.0, 0.0, 0.0, 0.0, 0.0, 12.0, 14.0, 12.0, 16.0, 5.0, 0.0, 0.0, 0.0, 2.0, 0.0, 4.0, 16.0, 7.0, 1.0, 0.0, 0.0, 0.0, 4.0, 15.0, 16.0, 16.0, 10.0, 0.0, 0.0, 1.0, 16.0, 16.0, 12.0, 5.0, 2.0, 0.0, 0.0, 0.0, 15.0, 12.0, 1.0, 0.0, 0.0, 0.0, 0.0, 1.0, 14.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0], [0.0, 2.0, 16.0, 16.0, 16.0, 12.0, 0.0, 0.0, 0.0, 1.0, 9.0, 5.0, 12.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 6.0, 15.0, 14.0, 2.0, 0.0, 0.0, 0.0, 1.0, 16.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 16.0, 5.0, 0.0, 0.0, 0.0, 1.0, 16.0, 16.0, 13.0, 1.0, 0.0, 0.0], [0.0, 4.0, 16.0, 16.0, 16.0, 15.0, 3.0, 0.0, 0.0, 11.0, 16.0, 14.0, 8.0, 8.0, 1.0, 0.0, 0.0, 12.0, 14.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 14.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 13.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 15.0, 3.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 11.0, 9.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 16.0, 12.0, 1.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 14.0, 7.0, 0.0, 0.0, 0.0, 0.0, 14.0, 15.0, 1.0, 11.0, 0.0, 0.0, 0.0, 0.0, 16.0, 15.0, 0.0, 14.0, 1.0, 0.0, 0.0, 1.0, 16.0, 10.0, 0.0, 14.0, 2.0, 0.0, 0.0, 0.0, 15.0, 13.0, 3.0, 15.0, 3.0, 0.0, 0.0, 0.0, 9.0, 16.0, 16.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 16.0, 8.0, 0.0, 0.0], [0.0, 0.0, 9.0, 13.0, 11.0, 1.0, 0.0, 0.0, 0.0, 0.0, 6.0, 4.0, 9.0, 14.0, 1.0, 0.0, 0.0, 0.0, 1.0, 5.0, 0.0, 11.0, 4.0, 0.0, 0.0, 0.0, 13.0, 14.0, 0.0, 7.0, 5.0, 0.0, 0.0, 3.0, 14.0, 1.0, 0.0, 10.0, 4.0, 0.0, 0.0, 3.0, 14.0, 0.0, 2.0, 15.0, 1.0, 0.0, 0.0, 2.0, 13.0, 8.0, 12.0, 11.0, 0.0, 0.0, 0.0, 0.0, 8.0, 14.0, 10.0, 1.0, 0.0, 0.0], [0.0, 0.0, 5.0, 16.0, 15.0, 5.0, 0.0, 0.0, 0.0, 0.0, 8.0, 13.0, 9.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 0.0, 15.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 4.0, 0.0, 0.0, 0.0, 11.0, 10.0, 10.0, 15.0, 0.0, 0.0, 0.0, 0.0, 16.0, 16.0, 16.0, 15.0, 13.0, 4.0, 0.0, 0.0, 7.0, 16.0, 13.0, 10.0, 8.0, 3.0], [0.0, 3.0, 12.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 13.0, 15.0, 8.0, 15.0, 2.0, 0.0, 0.0, 0.0, 11.0, 6.0, 0.0, 12.0, 4.0, 0.0, 0.0, 0.0, 1.0, 0.0, 0.0, 15.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 10.0, 4.0, 6.0, 1.0, 0.0, 2.0, 15.0, 16.0, 16.0, 16.0, 16.0, 3.0], [0.0, 2.0, 15.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 11.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 7.0, 2.0, 1.0, 0.0, 0.0, 1.0, 8.0, 16.0, 14.0, 16.0, 10.0, 0.0, 0.0, 10.0, 16.0, 15.0, 7.0, 1.0, 0.0, 0.0, 0.0, 0.0, 14.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 7.0, 15.0, 15.0, 6.0, 0.0, 0.0, 0.0, 4.0, 16.0, 16.0, 11.0, 15.0, 0.0, 0.0, 0.0, 7.0, 16.0, 10.0, 10.0, 16.0, 1.0, 0.0, 0.0, 3.0, 11.0, 16.0, 16.0, 6.0, 0.0, 0.0, 0.0, 1.0, 15.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 5.0, 14.0, 0.0, 0.0, 0.0, 0.0, 1.0, 13.0, 3.0, 14.0, 1.0, 0.0, 0.0, 0.0, 0.0, 5.0, 15.0, 15.0, 2.0, 0.0, 0.0], [0.0, 0.0, 1.0, 15.0, 13.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 14.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 15.0, 1.0, 0.0, 0.0, 0.0, 3.0, 10.0, 13.0, 13.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 16.0, 12.0, 4.0, 0.0, 0.0, 0.0, 1.0, 13.0, 15.0, 14.0, 16.0, 7.0], [0.0, 0.0, 0.0, 12.0, 11.0, 1.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 13.0, 10.0, 0.0, 0.0, 0.0, 0.0, 8.0, 9.0, 1.0, 12.0, 0.0, 0.0, 0.0, 2.0, 16.0, 9.0, 0.0, 10.0, 5.0, 0.0, 0.0, 4.0, 16.0, 8.0, 0.0, 7.0, 8.0, 0.0, 0.0, 1.0, 16.0, 3.0, 0.0, 10.0, 7.0, 0.0, 0.0, 0.0, 8.0, 13.0, 9.0, 16.0, 6.0, 0.0, 0.0, 0.0, 1.0, 10.0, 16.0, 13.0, 1.0, 0.0], [0.0, 0.0, 0.0, 15.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 16.0, 1.0, 0.0, 0.0, 0.0, 2.0, 16.0, 16.0, 16.0, 3.0, 0.0, 0.0, 0.0, 7.0, 16.0, 16.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 15.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 4.0, 0.0, 0.0, 0.0], [0.0, 2.0, 13.0, 16.0, 12.0, 0.0, 0.0, 0.0, 0.0, 9.0, 15.0, 10.0, 16.0, 3.0, 0.0, 0.0, 0.0, 5.0, 7.0, 5.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 16.0, 1.0, 3.0, 7.0, 1.0, 0.0, 3.0, 16.0, 12.0, 10.0, 16.0, 11.0, 1.0, 0.0, 0.0, 13.0, 16.0, 13.0, 7.0, 1.0, 0.0], [0.0, 0.0, 0.0, 8.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 15.0, 12.0, 9.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 13.0, 9.0, 8.0, 0.0, 0.0, 0.0, 11.0, 16.0, 2.0, 8.0, 9.0, 0.0, 0.0, 0.0, 3.0, 16.0, 5.0, 12.0, 10.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 14.0, 2.0, 0.0], [0.0, 0.0, 11.0, 15.0, 16.0, 10.0, 0.0, 0.0, 0.0, 8.0, 16.0, 8.0, 15.0, 16.0, 0.0, 0.0, 0.0, 5.0, 6.0, 10.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 11.0, 1.0, 0.0, 0.0, 0.0, 0.0, 2.0, 15.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 13.0, 16.0, 15.0, 0.0, 0.0, 0.0], [0.0, 2.0, 11.0, 14.0, 14.0, 9.0, 0.0, 0.0, 0.0, 3.0, 10.0, 7.0, 10.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 4.0, 13.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 15.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 13.0, 9.0, 0.0, 0.0, 0.0, 0.0, 1.0, 15.0, 13.0, 1.0, 0.0, 0.0, 0.0], [0.0, 2.0, 13.0, 16.0, 15.0, 2.0, 0.0, 0.0, 0.0, 15.0, 14.0, 7.0, 16.0, 5.0, 0.0, 0.0, 0.0, 10.0, 1.0, 2.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 1.0, 11.0, 16.0, 15.0, 8.0, 0.0, 0.0, 0.0, 15.0, 16.0, 13.0, 8.0, 2.0, 0.0, 0.0, 0.0, 10.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 3.0, 0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 9.0, 16.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 9.0, 9.0, 9.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 15.0, 7.0, 0.0, 0.0, 0.0, 0.0, 1.0, 14.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 12.0, 0.0, 0.0, 0.0], [0.0, 0.0, 8.0, 16.0, 16.0, 13.0, 0.0, 0.0, 0.0, 0.0, 10.0, 11.0, 9.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 12.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0, 2.0, 15.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 3.0, 0.0, 0.0, 0.0, 3.0, 12.0, 2.0, 14.0, 4.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 16.0, 5.0, 0.0, 0.0], [0.0, 0.0, 5.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 15.0, 8.0, 0.0, 6.0, 5.0, 0.0, 0.0, 9.0, 16.0, 6.0, 12.0, 16.0, 9.0, 0.0, 0.0, 7.0, 16.0, 16.0, 16.0, 15.0, 1.0, 0.0, 0.0, 0.0, 3.0, 10.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 1.0, 14.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 2.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 11.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 9.0, 1.0, 3.0, 0.0, 0.0, 0.0, 0.0, 14.0, 14.0, 15.0, 16.0, 7.0, 0.0, 0.0, 0.0, 10.0, 16.0, 15.0, 12.0, 12.0, 0.0, 0.0, 0.0, 6.0, 16.0, 13.0, 14.0, 12.0, 0.0, 0.0, 0.0, 0.0, 9.0, 15.0, 15.0, 3.0, 0.0], [0.0, 0.0, 0.0, 6.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 12.0, 0.0, 2.0, 0.0, 0.0, 0.0, 0.0, 13.0, 14.0, 16.0, 14.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 14.0, 13.0, 6.0, 0.0, 0.0, 0.0, 5.0, 13.0, 9.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 6.0, 15.0, 12.0, 1.0, 0.0], [0.0, 0.0, 0.0, 9.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 11.0, 6.0, 7.0, 1.0, 0.0, 0.0, 0.0, 13.0, 14.0, 15.0, 16.0, 8.0, 0.0, 0.0, 0.0, 12.0, 13.0, 5.0, 5.0, 13.0, 0.0, 0.0, 0.0, 6.0, 14.0, 8.0, 15.0, 12.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 12.0, 2.0, 0.0], [0.0, 0.0, 10.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 7.0, 1.0, 7.0, 0.0, 0.0, 0.0, 0.0, 15.0, 7.0, 12.0, 16.0, 2.0, 0.0, 0.0, 0.0, 10.0, 16.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 12.0, 0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 2.0, 9.0, 13.0, 6.0, 0.0, 0.0, 0.0, 11.0, 15.0, 8.0, 9.0, 10.0, 0.0, 0.0, 3.0, 16.0, 10.0, 4.0, 13.0, 5.0, 0.0, 0.0, 1.0, 15.0, 16.0, 15.0, 15.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 14.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 4.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 14.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 12.0, 0.0, 0.0, 0.0], [0.0, 0.0, 12.0, 16.0, 16.0, 15.0, 3.0, 0.0, 0.0, 4.0, 16.0, 16.0, 6.0, 2.0, 1.0, 0.0, 0.0, 14.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 15.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 15.0, 0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 9.0, 8.0, 1.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 16.0, 8.0, 0.0, 0.0, 0.0, 4.0, 16.0, 15.0, 1.0, 15.0, 0.0, 0.0, 0.0, 6.0, 16.0, 12.0, 0.0, 12.0, 1.0, 0.0, 0.0, 5.0, 16.0, 11.0, 0.0, 11.0, 6.0, 0.0, 0.0, 1.0, 15.0, 8.0, 4.0, 15.0, 6.0, 0.0, 0.0, 0.0, 5.0, 16.0, 16.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 14.0, 9.0, 0.0, 0.0], [0.0, 0.0, 1.0, 13.0, 10.0, 1.0, 0.0, 0.0, 0.0, 0.0, 12.0, 6.0, 7.0, 10.0, 0.0, 0.0, 0.0, 0.0, 10.0, 10.0, 11.0, 15.0, 0.0, 0.0, 0.0, 0.0, 1.0, 14.0, 16.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 11.0, 0.0, 0.0, 0.0, 2.0, 4.0, 4.0, 14.0, 11.0, 0.0, 0.0, 0.0, 2.0, 11.0, 15.0, 16.0, 5.0, 0.0], [0.0, 0.0, 5.0, 16.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 15.0, 2.0, 0.0, 0.0, 0.0, 0.0, 1.0, 15.0, 16.0, 15.0, 4.0, 0.0, 0.0, 0.0, 0.0, 9.0, 13.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 12.0, 0.0, 0.0, 0.0, 0.0, 5.0, 12.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 3.0, 15.0, 15.0, 1.0, 0.0, 0.0], [0.0, 0.0, 6.0, 16.0, 12.0, 1.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 13.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 5.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 9.0, 4.0, 1.0, 0.0, 0.0, 3.0, 16.0, 16.0, 16.0, 16.0, 10.0, 0.0, 0.0, 5.0, 16.0, 11.0, 9.0, 6.0, 2.0], [0.0, 0.0, 0.0, 10.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 2.0, 15.0, 4.0, 14.0, 2.0, 0.0, 0.0, 0.0, 0.0, 13.0, 8.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 14.0, 1.0, 0.0, 0.0, 0.0, 8.0, 16.0, 16.0, 7.0, 0.0, 0.0, 0.0, 1.0, 15.0, 6.0, 8.0, 12.0, 0.0, 0.0, 0.0, 1.0, 13.0, 5.0, 12.0, 9.0, 0.0, 0.0, 0.0, 0.0, 1.0, 11.0, 15.0, 6.0, 0.0, 0.0], [0.0, 0.0, 4.0, 15.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 16.0, 12.0, 8.0, 15.0, 0.0, 0.0, 0.0, 7.0, 16.0, 4.0, 0.0, 11.0, 5.0, 0.0, 0.0, 10.0, 15.0, 0.0, 0.0, 8.0, 9.0, 0.0, 0.0, 10.0, 14.0, 0.0, 0.0, 8.0, 11.0, 0.0, 0.0, 6.0, 16.0, 4.0, 0.0, 11.0, 9.0, 0.0, 0.0, 1.0, 15.0, 7.0, 8.0, 16.0, 5.0, 0.0, 0.0, 0.0, 3.0, 14.0, 16.0, 10.0, 1.0, 0.0], [0.0, 0.0, 0.0, 12.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 13.0, 0.0, 0.0, 0.0], [0.0, 0.0, 7.0, 14.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 16.0, 12.0, 15.0, 12.0, 0.0, 0.0, 0.0, 0.0, 3.0, 0.0, 14.0, 9.0, 0.0, 0.0, 0.0, 0.0, 5.0, 12.0, 16.0, 15.0, 10.0, 0.0, 0.0, 8.0, 16.0, 16.0, 13.0, 6.0, 0.0, 0.0, 0.0, 3.0, 9.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 12.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 5.0, 0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 8.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 14.0, 11.0, 13.0, 2.0, 0.0, 0.0, 0.0, 13.0, 16.0, 14.0, 14.0, 10.0, 0.0, 0.0, 0.0, 10.0, 15.0, 1.0, 5.0, 13.0, 0.0, 0.0, 0.0, 6.0, 16.0, 8.0, 14.0, 12.0, 0.0, 0.0, 0.0, 0.0, 5.0, 14.0, 16.0, 4.0, 0.0], [0.0, 1.0, 11.0, 16.0, 16.0, 12.0, 0.0, 0.0, 0.0, 8.0, 16.0, 13.0, 16.0, 16.0, 3.0, 0.0, 0.0, 1.0, 5.0, 7.0, 16.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 15.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 13.0, 0.0, 0.0, 0.0, 0.0, 3.0, 7.0, 15.0, 14.0, 0.0, 0.0, 0.0, 0.0, 14.0, 16.0, 16.0, 6.0, 0.0, 0.0], [0.0, 2.0, 13.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 12.0, 13.0, 14.0, 13.0, 0.0, 0.0, 0.0, 0.0, 2.0, 0.0, 8.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 15.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 16.0, 16.0, 9.0, 2.0, 0.0, 0.0, 1.0, 16.0, 14.0, 13.0, 16.0, 9.0, 0.0], [0.0, 0.0, 0.0, 11.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 11.0, 0.0, 0.0, 0.0], [0.0, 1.0, 11.0, 16.0, 11.0, 0.0, 0.0, 0.0, 0.0, 10.0, 14.0, 11.0, 16.0, 0.0, 0.0, 0.0, 0.0, 14.0, 5.0, 6.0, 15.0, 0.0, 0.0, 0.0, 0.0, 3.0, 1.0, 11.0, 14.0, 3.0, 1.0, 0.0, 0.0, 2.0, 13.0, 16.0, 16.0, 16.0, 9.0, 0.0, 0.0, 2.0, 14.0, 16.0, 5.0, 4.0, 2.0, 0.0, 0.0, 0.0, 11.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 5.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 9.0, 4.0, 13.0, 0.0, 0.0, 0.0, 0.0, 16.0, 5.0, 11.0, 13.0, 0.0, 0.0, 0.0, 0.0, 15.0, 13.0, 15.0, 7.0, 0.0, 0.0, 0.0, 0.0, 4.0, 14.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 1.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 8.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 15.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 14.0, 5.0, 1.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 16.0, 16.0, 3.0, 0.0, 0.0, 0.0, 6.0, 16.0, 7.0, 13.0, 8.0, 0.0, 0.0, 0.0, 2.0, 15.0, 7.0, 15.0, 7.0, 0.0, 0.0, 0.0, 0.0, 7.0, 15.0, 12.0, 0.0, 0.0], [0.0, 0.0, 6.0, 16.0, 15.0, 5.0, 0.0, 0.0, 0.0, 0.0, 2.0, 13.0, 14.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 14.0, 14.0, 1.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 14.0, 0.0, 0.0, 0.0, 0.0, 8.0, 7.0, 12.0, 16.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 16.0, 12.0, 1.0, 0.0], [0.0, 0.0, 0.0, 12.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 2.0, 0.0, 0.0], [0.0, 0.0, 6.0, 15.0, 15.0, 4.0, 0.0, 0.0, 0.0, 6.0, 16.0, 16.0, 16.0, 14.0, 0.0, 0.0, 0.0, 7.0, 16.0, 14.0, 16.0, 13.0, 0.0, 0.0, 0.0, 0.0, 3.0, 7.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 15.0, 0.0, 0.0, 0.0, 0.0, 7.0, 10.0, 16.0, 14.0, 0.0, 0.0, 0.0, 0.0, 7.0, 15.0, 15.0, 4.0, 0.0, 0.0], [0.0, 0.0, 0.0, 8.0, 10.0, 14.0, 3.0, 0.0, 0.0, 1.0, 13.0, 13.0, 9.0, 12.0, 8.0, 0.0, 0.0, 6.0, 16.0, 8.0, 8.0, 16.0, 4.0, 0.0, 0.0, 5.0, 16.0, 16.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 5.0, 8.0, 14.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 12.0, 2.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 16.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 15.0, 2.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 16.0, 2.0, 0.0, 0.0], [0.0, 4.0, 15.0, 16.0, 15.0, 4.0, 0.0, 0.0, 0.0, 11.0, 16.0, 14.0, 15.0, 16.0, 0.0, 0.0, 0.0, 3.0, 3.0, 0.0, 16.0, 14.0, 2.0, 0.0, 0.0, 0.0, 9.0, 16.0, 16.0, 16.0, 8.0, 0.0, 0.0, 0.0, 15.0, 16.0, 11.0, 1.0, 0.0, 0.0, 0.0, 0.0, 11.0, 13.0, 1.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 9.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 11.0, 0.0, 3.0, 0.0, 0.0, 0.0, 0.0, 13.0, 8.0, 13.0, 13.0, 10.0, 0.0, 0.0, 0.0, 12.0, 16.0, 8.0, 0.0, 13.0, 1.0, 0.0, 0.0, 6.0, 16.0, 5.0, 9.0, 13.0, 0.0, 0.0, 0.0, 0.0, 8.0, 15.0, 14.0, 4.0, 0.0], [0.0, 0.0, 0.0, 9.0, 15.0, 9.0, 0.0, 0.0, 0.0, 0.0, 8.0, 15.0, 5.0, 12.0, 2.0, 0.0, 0.0, 0.0, 15.0, 15.0, 3.0, 13.0, 3.0, 0.0, 0.0, 0.0, 11.0, 16.0, 16.0, 13.0, 0.0, 0.0, 0.0, 4.0, 16.0, 10.0, 15.0, 0.0, 0.0, 0.0, 0.0, 3.0, 12.0, 0.0, 8.0, 7.0, 0.0, 0.0, 0.0, 0.0, 12.0, 8.0, 10.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 13.0, 4.0, 0.0, 0.0], [0.0, 0.0, 0.0, 14.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 12.0, 0.0, 1.0, 3.0, 0.0, 0.0, 4.0, 16.0, 5.0, 1.0, 15.0, 11.0, 0.0, 0.0, 10.0, 15.0, 4.0, 13.0, 16.0, 3.0, 0.0, 0.0, 8.0, 16.0, 16.0, 16.0, 10.0, 0.0, 0.0, 0.0, 2.0, 11.0, 12.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 9.0, 0.0, 0.0, 0.0], [0.0, 0.0, 7.0, 15.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 14.0, 9.0, 10.0, 16.0, 1.0, 0.0, 0.0, 0.0, 2.0, 5.0, 15.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 13.0, 0.0, 0.0, 0.0, 0.0, 11.0, 9.0, 15.0, 16.0, 1.0, 0.0, 0.0, 0.0, 8.0, 16.0, 16.0, 12.0, 0.0, 0.0], [0.0, 0.0, 0.0, 14.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 12.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 15.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 1.0, 13.0, 16.0, 0.0, 9.0, 2.0, 0.0, 0.0, 5.0, 16.0, 11.0, 5.0, 16.0, 9.0, 0.0, 0.0, 7.0, 16.0, 14.0, 16.0, 16.0, 7.0, 0.0, 0.0, 1.0, 11.0, 15.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 11.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 10.0, 13.0, 3.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 14.0, 12.0, 0.0, 0.0, 0.0, 3.0, 16.0, 13.0, 0.0, 14.0, 1.0, 0.0, 0.0, 5.0, 16.0, 6.0, 0.0, 14.0, 5.0, 0.0, 0.0, 6.0, 16.0, 0.0, 0.0, 15.0, 4.0, 0.0, 0.0, 2.0, 13.0, 1.0, 5.0, 16.0, 4.0, 0.0, 0.0, 0.0, 10.0, 16.0, 16.0, 14.0, 1.0, 0.0, 0.0, 0.0, 2.0, 11.0, 13.0, 6.0, 0.0, 0.0], [0.0, 0.0, 7.0, 12.0, 15.0, 6.0, 0.0, 0.0, 0.0, 14.0, 16.0, 15.0, 6.0, 0.0, 0.0, 0.0, 0.0, 16.0, 16.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 14.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 8.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 13.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 7.0, 0.0, 0.0, 0.0], [0.0, 0.0, 8.0, 15.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 13.0, 13.0, 13.0, 13.0, 0.0, 0.0, 0.0, 0.0, 2.0, 6.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 15.0, 0.0, 0.0, 0.0, 0.0, 7.0, 4.0, 11.0, 16.0, 1.0, 0.0, 0.0, 0.0, 7.0, 16.0, 16.0, 8.0, 0.0, 0.0], [0.0, 0.0, 0.0, 5.0, 13.0, 1.0, 0.0, 0.0, 0.0, 0.0, 1.0, 15.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 14.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 11.0, 11.0, 5.0, 13.0, 0.0, 0.0, 0.0, 0.0, 6.0, 13.0, 7.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 14.0, 9.0, 0.0, 0.0], [0.0, 0.0, 7.0, 16.0, 15.0, 4.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 15.0, 12.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 16.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 8.0, 15.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 11.0, 0.0, 0.0, 0.0, 1.0, 0.0, 5.0, 15.0, 9.0, 0.0, 0.0, 0.0, 6.0, 15.0, 16.0, 16.0, 2.0, 0.0], [0.0, 0.0, 1.0, 13.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 12.0, 1.0, 0.0, 0.0, 0.0, 0.0, 14.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 14.0, 9.0, 1.0, 0.0, 0.0, 0.0, 1.0, 16.0, 16.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 13.0, 15.0, 13.0, 15.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 14.0, 14.0, 1.0, 0.0, 0.0, 0.0, 1.0, 11.0, 16.0, 8.0, 0.0, 0.0], [0.0, 0.0, 0.0, 12.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 14.0, 0.0, 0.0, 0.0], [0.0, 0.0, 3.0, 16.0, 15.0, 5.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 15.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 7.0, 16.0, 4.0, 0.0, 0.0, 2.0, 6.0, 9.0, 14.0, 16.0, 5.0, 0.0, 0.0, 9.0, 16.0, 16.0, 16.0, 12.0, 1.0, 0.0, 0.0, 0.0, 9.0, 15.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 15.0, 4.0, 0.0, 0.0, 0.0], [0.0, 0.0, 15.0, 13.0, 13.0, 13.0, 0.0, 0.0, 0.0, 0.0, 16.0, 16.0, 11.0, 3.0, 0.0, 0.0, 0.0, 0.0, 12.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 15.0, 1.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 13.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 10.0, 0.0, 8.0, 2.0, 0.0, 0.0, 4.0, 16.0, 5.0, 11.0, 16.0, 8.0, 0.0, 0.0, 7.0, 16.0, 16.0, 16.0, 16.0, 3.0, 0.0, 0.0, 2.0, 13.0, 9.0, 16.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 15.0, 1.0, 0.0, 0.0], [0.0, 0.0, 4.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 13.0, 0.0, 1.0, 1.0, 0.0, 0.0, 3.0, 16.0, 8.0, 5.0, 16.0, 6.0, 0.0, 0.0, 9.0, 16.0, 6.0, 14.0, 16.0, 2.0, 0.0, 0.0, 11.0, 16.0, 16.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 10.0, 15.0, 15.0, 2.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 3.0, 0.0, 0.0, 0.0], [0.0, 0.0, 5.0, 14.0, 14.0, 2.0, 0.0, 0.0, 0.0, 2.0, 16.0, 16.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 7.0, 4.0, 16.0, 12.0, 0.0, 0.0, 0.0, 0.0, 1.0, 9.0, 16.0, 16.0, 8.0, 0.0, 0.0, 3.0, 15.0, 16.0, 16.0, 10.0, 2.0, 0.0, 0.0, 4.0, 16.0, 16.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 13.0, 0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 7.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 16.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 13.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 16.0, 6.0, 4.0, 8.0, 1.0, 0.0, 0.0, 14.0, 16.0, 16.0, 16.0, 16.0, 4.0, 0.0, 0.0, 7.0, 16.0, 15.0, 7.0, 3.0, 0.0], [0.0, 0.0, 8.0, 16.0, 16.0, 12.0, 0.0, 0.0, 0.0, 0.0, 16.0, 13.0, 10.0, 16.0, 3.0, 0.0, 0.0, 0.0, 12.0, 1.0, 2.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 15.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 15.0, 2.0, 0.0, 0.0, 0.0, 1.0, 11.0, 16.0, 12.0, 8.0, 8.0, 1.0, 0.0, 0.0, 11.0, 16.0, 16.0, 16.0, 12.0, 1.0], [0.0, 0.0, 3.0, 9.0, 14.0, 9.0, 0.0, 0.0, 0.0, 5.0, 16.0, 14.0, 5.0, 0.0, 0.0, 0.0, 0.0, 12.0, 11.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 16.0, 12.0, 1.0, 0.0, 0.0, 0.0, 0.0, 4.0, 11.0, 13.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 12.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 15.0, 7.0, 0.0, 0.0, 0.0], [0.0, 7.0, 12.0, 14.0, 16.0, 8.0, 0.0, 0.0, 0.0, 8.0, 16.0, 14.0, 15.0, 11.0, 0.0, 0.0, 0.0, 2.0, 11.0, 2.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 8.0, 5.0, 0.0, 0.0, 8.0, 13.0, 16.0, 16.0, 12.0, 5.0, 0.0, 0.0, 7.0, 16.0, 12.0, 3.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 7.0, 16.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 14.0, 12.0, 11.0, 14.0, 0.0, 0.0, 0.0, 0.0, 11.0, 15.0, 16.0, 12.0, 0.0, 0.0, 0.0, 0.0, 5.0, 15.0, 15.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 12.0, 14.0, 0.0, 0.0, 0.0, 1.0, 10.0, 0.0, 7.0, 15.0, 0.0, 0.0, 0.0, 1.0, 14.0, 6.0, 13.0, 12.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 16.0, 11.0, 0.0, 0.0], [0.0, 0.0, 3.0, 14.0, 16.0, 14.0, 0.0, 0.0, 0.0, 3.0, 12.0, 16.0, 8.0, 1.0, 0.0, 0.0, 0.0, 15.0, 16.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 11.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 8.0, 15.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 9.0, 0.0, 0.0, 0.0], [0.0, 0.0, 11.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 3.0, 2.0, 14.0, 3.0, 0.0, 0.0, 9.0, 15.0, 0.0, 12.0, 15.0, 0.0, 0.0, 0.0, 6.0, 16.0, 15.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 6.0, 15.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 10.0, 0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 11.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 15.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 8.0, 0.0, 4.0, 7.0, 0.0, 0.0, 5.0, 16.0, 2.0, 2.0, 13.0, 9.0, 0.0, 0.0, 10.0, 15.0, 12.0, 15.0, 14.0, 1.0, 0.0, 0.0, 6.0, 16.0, 9.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 14.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 7.0, 0.0, 0.0, 0.0], [0.0, 0.0, 7.0, 15.0, 16.0, 12.0, 0.0, 0.0, 0.0, 12.0, 16.0, 11.0, 16.0, 13.0, 0.0, 0.0, 0.0, 15.0, 16.0, 16.0, 14.0, 5.0, 0.0, 0.0, 0.0, 8.0, 16.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 12.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 12.0, 1.0, 0.0, 0.0, 0.0], [0.0, 0.0, 1.0, 13.0, 15.0, 8.0, 0.0, 0.0, 0.0, 0.0, 11.0, 14.0, 8.0, 15.0, 0.0, 0.0, 0.0, 2.0, 16.0, 3.0, 0.0, 13.0, 2.0, 0.0, 0.0, 5.0, 15.0, 0.0, 0.0, 10.0, 5.0, 0.0, 0.0, 3.0, 10.0, 0.0, 0.0, 10.0, 5.0, 0.0, 0.0, 3.0, 13.0, 0.0, 1.0, 15.0, 3.0, 0.0, 0.0, 0.0, 12.0, 10.0, 11.0, 11.0, 0.0, 0.0, 0.0, 0.0, 1.0, 12.0, 11.0, 4.0, 0.0, 0.0], [0.0, 0.0, 2.0, 10.0, 11.0, 1.0, 0.0, 0.0, 0.0, 0.0, 5.0, 14.0, 3.0, 12.0, 0.0, 0.0, 0.0, 0.0, 6.0, 13.0, 3.0, 15.0, 0.0, 0.0, 0.0, 0.0, 8.0, 15.0, 15.0, 9.0, 0.0, 0.0, 0.0, 2.0, 16.0, 11.0, 9.0, 0.0, 0.0, 0.0, 0.0, 2.0, 14.0, 2.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 6.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 15.0, 6.0, 0.0, 0.0, 0.0], [0.0, 0.0, 1.0, 10.0, 13.0, 12.0, 5.0, 0.0, 0.0, 0.0, 13.0, 13.0, 4.0, 4.0, 12.0, 0.0, 0.0, 3.0, 16.0, 7.0, 4.0, 12.0, 6.0, 0.0, 0.0, 2.0, 15.0, 16.0, 15.0, 5.0, 0.0, 0.0, 0.0, 0.0, 1.0, 9.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 1.0, 9.0, 15.0, 10.0, 1.0, 0.0, 0.0, 0.0, 2.0, 12.0, 8.0, 12.0, 4.0, 0.0, 0.0, 0.0, 0.0, 11.0, 1.0, 11.0, 3.0, 0.0, 0.0, 0.0, 0.0, 8.0, 8.0, 15.0, 4.0, 0.0, 0.0, 2.0, 15.0, 16.0, 16.0, 7.0, 0.0, 0.0, 0.0, 2.0, 15.0, 5.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 4.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 14.0, 9.0, 0.0, 0.0, 0.0], [0.0, 0.0, 8.0, 12.0, 12.0, 1.0, 0.0, 0.0, 0.0, 3.0, 16.0, 16.0, 14.0, 9.0, 0.0, 0.0, 0.0, 6.0, 15.0, 9.0, 3.0, 12.0, 2.0, 0.0, 0.0, 7.0, 9.0, 0.0, 0.0, 9.0, 7.0, 0.0, 0.0, 7.0, 8.0, 0.0, 0.0, 7.0, 8.0, 0.0, 0.0, 5.0, 10.0, 0.0, 0.0, 7.0, 9.0, 0.0, 0.0, 0.0, 14.0, 13.0, 10.0, 16.0, 6.0, 0.0, 0.0, 0.0, 5.0, 13.0, 11.0, 4.0, 0.0, 0.0], [0.0, 0.0, 4.0, 14.0, 16.0, 14.0, 1.0, 0.0, 0.0, 2.0, 14.0, 16.0, 16.0, 8.0, 0.0, 0.0, 0.0, 4.0, 16.0, 16.0, 14.0, 3.0, 0.0, 0.0, 0.0, 4.0, 16.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 13.0, 12.0, 0.0, 0.0, 0.0, 0.0, 1.0, 14.0, 16.0, 15.0, 3.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 16.0, 12.0, 0.0, 0.0, 0.0, 0.0, 2.0, 9.0, 15.0, 16.0, 8.0, 0.0], [0.0, 1.0, 12.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 16.0, 13.0, 0.0, 0.0, 0.0, 0.0, 7.0, 6.0, 5.0, 14.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 13.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 10.0, 8.0, 4.0, 0.0, 0.0, 0.0, 13.0, 15.0, 16.0, 12.0, 7.0, 0.0], [0.0, 1.0, 6.0, 12.0, 15.0, 5.0, 0.0, 0.0, 0.0, 7.0, 14.0, 14.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 2.0, 14.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 11.0, 16.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 14.0, 7.0, 0.0, 0.0, 0.0, 2.0, 4.0, 5.0, 14.0, 7.0, 0.0, 0.0, 0.0, 6.0, 16.0, 14.0, 8.0, 0.0, 0.0], [0.0, 0.0, 0.0, 0.0, 8.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 14.0, 3.0, 10.0, 10.0, 0.0, 0.0, 1.0, 14.0, 15.0, 10.0, 16.0, 6.0, 0.0, 0.0, 14.0, 14.0, 12.0, 15.0, 16.0, 2.0, 0.0, 0.0, 3.0, 0.0, 0.0, 8.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 10.0, 0.0, 0.0], [0.0, 0.0, 9.0, 15.0, 16.0, 15.0, 2.0, 0.0, 0.0, 4.0, 16.0, 5.0, 3.0, 1.0, 0.0, 0.0, 0.0, 4.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 14.0, 9.0, 14.0, 15.0, 2.0, 0.0, 0.0, 5.0, 13.0, 9.0, 8.0, 15.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 5.0, 0.0, 0.0, 0.0, 0.0, 5.0, 11.0, 14.0, 0.0, 0.0, 0.0, 0.0, 11.0, 12.0, 7.0, 1.0, 0.0, 0.0], [0.0, 0.0, 1.0, 13.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 14.0, 2.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 16.0, 8.0, 1.0, 0.0, 0.0, 0.0, 3.0, 15.0, 11.0, 14.0, 13.0, 2.0, 0.0, 0.0, 0.0, 10.0, 16.0, 10.0, 16.0, 15.0, 0.0, 0.0, 0.0, 1.0, 10.0, 14.0, 12.0, 7.0, 0.0], [0.0, 0.0, 7.0, 16.0, 16.0, 15.0, 5.0, 0.0, 0.0, 0.0, 9.0, 12.0, 15.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 15.0, 1.0, 0.0, 0.0, 0.0, 7.0, 12.0, 15.0, 15.0, 8.0, 0.0, 0.0, 1.0, 16.0, 16.0, 16.0, 13.0, 5.0, 0.0, 0.0, 0.0, 0.0, 14.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 14.0, 1.0, 0.0, 0.0, 0.0], [0.0, 1.0, 11.0, 10.0, 8.0, 1.0, 1.0, 0.0, 0.0, 3.0, 15.0, 11.0, 3.0, 12.0, 6.0, 0.0, 0.0, 0.0, 4.0, 16.0, 16.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 5.0, 13.0, 12.0, 12.0, 0.0, 0.0, 0.0, 0.0, 13.0, 7.0, 1.0, 16.0, 4.0, 0.0, 0.0, 1.0, 15.0, 4.0, 7.0, 14.0, 0.0, 0.0, 0.0, 1.0, 14.0, 14.0, 8.0, 1.0, 0.0, 0.0], [0.0, 1.0, 8.0, 13.0, 15.0, 5.0, 0.0, 0.0, 0.0, 8.0, 14.0, 7.0, 16.0, 14.0, 0.0, 0.0, 0.0, 10.0, 12.0, 1.0, 10.0, 16.0, 2.0, 0.0, 0.0, 2.0, 12.0, 14.0, 15.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 4.0, 4.0, 15.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 9.0, 0.0, 0.0, 0.0, 9.0, 7.0, 1.0, 10.0, 12.0, 0.0, 0.0, 0.0, 6.0, 13.0, 16.0, 15.0, 6.0, 0.0], [0.0, 0.0, 4.0, 15.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 14.0, 15.0, 5.0, 0.0, 0.0, 0.0, 8.0, 16.0, 5.0, 3.0, 14.0, 0.0, 0.0, 0.0, 5.0, 11.0, 0.0, 0.0, 10.0, 5.0, 0.0, 0.0, 5.0, 9.0, 0.0, 0.0, 8.0, 8.0, 0.0, 0.0, 0.0, 14.0, 0.0, 0.0, 10.0, 8.0, 0.0, 0.0, 0.0, 14.0, 13.0, 13.0, 16.0, 1.0, 0.0, 0.0, 0.0, 2.0, 14.0, 14.0, 7.0, 0.0, 0.0], [0.0, 0.0, 0.0, 8.0, 12.0, 9.0, 2.0, 0.0, 0.0, 0.0, 5.0, 16.0, 16.0, 16.0, 4.0, 0.0, 0.0, 0.0, 9.0, 16.0, 16.0, 11.0, 0.0, 0.0, 0.0, 3.0, 16.0, 16.0, 16.0, 5.0, 0.0, 0.0, 0.0, 4.0, 16.0, 16.0, 16.0, 4.0, 0.0, 0.0, 0.0, 1.0, 15.0, 16.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 12.0, 6.0, 0.0, 0.0], [0.0, 0.0, 8.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 2.0, 4.0, 14.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 2.0, 15.0, 14.0, 7.0, 6.0, 3.0, 0.0, 0.0, 5.0, 16.0, 15.0, 16.0, 15.0, 3.0, 0.0, 0.0, 0.0, 10.0, 13.0, 8.0, 2.0, 0.0, 0.0], [0.0, 1.0, 8.0, 13.0, 16.0, 13.0, 0.0, 0.0, 0.0, 1.0, 13.0, 12.0, 15.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 15.0, 8.0, 0.0, 0.0, 0.0, 0.0, 5.0, 15.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 11.0, 1.0, 0.0, 0.0, 0.0, 0.0, 2.0, 13.0, 16.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 14.0, 16.0, 4.0, 0.0, 0.0, 0.0, 13.0, 16.0, 15.0, 7.0, 0.0, 0.0], [0.0, 0.0, 0.0, 6.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 15.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 8.0, 0.0, 2.0, 6.0, 0.0, 0.0, 4.0, 15.0, 0.0, 1.0, 13.0, 8.0, 0.0, 0.0, 6.0, 16.0, 2.0, 6.0, 14.0, 1.0, 0.0, 0.0, 8.0, 16.0, 16.0, 16.0, 6.0, 0.0, 0.0, 0.0, 1.0, 5.0, 8.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 11.0, 0.0, 0.0, 0.0], [0.0, 0.0, 8.0, 14.0, 16.0, 16.0, 0.0, 0.0, 0.0, 0.0, 14.0, 13.0, 8.0, 8.0, 0.0, 0.0, 0.0, 2.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 13.0, 16.0, 13.0, 0.0, 0.0, 0.0, 3.0, 16.0, 16.0, 12.0, 16.0, 7.0, 0.0, 0.0, 0.0, 4.0, 1.0, 2.0, 14.0, 6.0, 0.0, 0.0, 0.0, 1.0, 6.0, 16.0, 11.0, 0.0, 0.0, 0.0, 0.0, 11.0, 15.0, 8.0, 1.0, 0.0, 0.0], [0.0, 0.0, 2.0, 15.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 6.0, 4.0, 1.0, 0.0, 0.0, 0.0, 6.0, 16.0, 16.0, 14.0, 16.0, 3.0, 0.0, 0.0, 2.0, 14.0, 9.0, 0.0, 11.0, 9.0, 0.0, 0.0, 0.0, 10.0, 14.0, 8.0, 15.0, 5.0, 0.0, 0.0, 0.0, 3.0, 13.0, 16.0, 8.0, 0.0, 0.0], [0.0, 0.0, 4.0, 16.0, 16.0, 16.0, 3.0, 0.0, 0.0, 0.0, 7.0, 12.0, 13.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 5.0, 0.0, 0.0, 1.0, 4.0, 4.0, 7.0, 16.0, 1.0, 0.0, 0.0, 10.0, 16.0, 16.0, 16.0, 16.0, 9.0, 0.0, 0.0, 5.0, 11.0, 13.0, 16.0, 10.0, 2.0, 0.0, 0.0, 0.0, 0.0, 11.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 13.0, 3.0, 0.0, 0.0, 0.0], [0.0, 2.0, 12.0, 14.0, 3.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 1.0, 0.0, 4.0, 1.0, 0.0, 0.0, 0.0, 13.0, 16.0, 16.0, 15.0, 1.0, 0.0, 0.0, 0.0, 7.0, 16.0, 14.0, 1.0, 0.0, 0.0, 0.0, 0.0, 15.0, 14.0, 16.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 1.0, 15.0, 7.0, 0.0, 0.0, 0.0, 5.0, 16.0, 6.0, 15.0, 7.0, 0.0, 0.0, 0.0, 1.0, 16.0, 14.0, 9.0, 0.0, 0.0, 0.0], [0.0, 0.0, 8.0, 14.0, 12.0, 3.0, 0.0, 0.0, 0.0, 6.0, 16.0, 6.0, 14.0, 14.0, 0.0, 0.0, 0.0, 6.0, 13.0, 0.0, 8.0, 14.0, 0.0, 0.0, 0.0, 2.0, 14.0, 14.0, 14.0, 16.0, 3.0, 0.0, 0.0, 0.0, 2.0, 4.0, 6.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 3.0, 0.0, 0.0, 0.0, 7.0, 16.0, 16.0, 8.0, 0.0, 0.0], [0.0, 0.0, 7.0, 12.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 16.0, 15.0, 4.0, 0.0, 0.0, 0.0, 2.0, 16.0, 9.0, 10.0, 11.0, 0.0, 0.0, 0.0, 6.0, 12.0, 0.0, 0.0, 12.0, 3.0, 0.0, 0.0, 8.0, 12.0, 0.0, 0.0, 6.0, 8.0, 0.0, 0.0, 6.0, 13.0, 0.0, 0.0, 9.0, 8.0, 0.0, 0.0, 1.0, 16.0, 13.0, 15.0, 16.0, 3.0, 0.0, 0.0, 0.0, 6.0, 15.0, 9.0, 3.0, 0.0, 0.0], [0.0, 0.0, 6.0, 12.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 16.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 16.0, 14.0, 2.0, 0.0, 0.0, 0.0, 1.0, 15.0, 16.0, 11.0, 2.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 14.0, 5.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 16.0, 14.0, 0.0, 0.0, 0.0, 0.0, 4.0, 11.0, 12.0, 8.0, 0.0, 0.0], [0.0, 0.0, 10.0, 13.0, 8.0, 1.0, 0.0, 0.0, 0.0, 0.0, 16.0, 16.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 6.0, 1.0, 11.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 15.0, 4.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 16.0, 16.0, 15.0, 4.0, 0.0, 0.0, 2.0, 10.0, 11.0, 7.0, 2.0, 0.0, 0.0], [0.0, 4.0, 13.0, 16.0, 16.0, 7.0, 0.0, 0.0, 0.0, 8.0, 12.0, 16.0, 16.0, 13.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 15.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 11.0, 9.0, 2.0, 0.0, 0.0, 0.0, 0.0, 1.0, 7.0, 15.0, 13.0, 2.0, 0.0, 0.0, 0.0, 3.0, 4.0, 7.0, 16.0, 10.0, 0.0, 0.0, 2.0, 11.0, 15.0, 11.0, 8.0, 2.0, 0.0], [0.0, 0.0, 0.0, 2.0, 14.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 9.0, 0.0, 4.0, 4.0, 0.0, 0.0, 4.0, 14.0, 1.0, 1.0, 15.0, 8.0, 0.0, 0.0, 4.0, 16.0, 5.0, 11.0, 16.0, 2.0, 0.0, 0.0, 6.0, 16.0, 16.0, 16.0, 11.0, 0.0, 0.0, 0.0, 0.0, 4.0, 0.0, 12.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 13.0, 1.0, 0.0, 0.0], [0.0, 0.0, 3.0, 10.0, 15.0, 8.0, 0.0, 0.0, 0.0, 0.0, 12.0, 14.0, 8.0, 1.0, 0.0, 0.0, 0.0, 1.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 9.0, 11.0, 16.0, 3.0, 0.0, 0.0, 4.0, 16.0, 14.0, 9.0, 15.0, 7.0, 0.0, 0.0, 1.0, 4.0, 0.0, 0.0, 15.0, 3.0, 0.0, 0.0, 0.0, 0.0, 3.0, 12.0, 8.0, 0.0, 0.0, 0.0, 0.0, 2.0, 10.0, 8.0, 0.0, 0.0, 0.0], [0.0, 0.0, 1.0, 12.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 10.0, 1.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 16.0, 15.0, 7.0, 0.0, 0.0, 0.0, 6.0, 16.0, 9.0, 9.0, 16.0, 3.0, 0.0, 0.0, 0.0, 8.0, 16.0, 13.0, 15.0, 11.0, 0.0, 0.0, 0.0, 1.0, 10.0, 15.0, 14.0, 4.0, 0.0], [0.0, 0.0, 5.0, 14.0, 16.0, 16.0, 3.0, 0.0, 0.0, 0.0, 7.0, 16.0, 16.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 0.0, 0.0, 0.0, 0.0, 9.0, 14.0, 16.0, 16.0, 13.0, 0.0, 0.0, 2.0, 16.0, 16.0, 15.0, 7.0, 1.0, 0.0, 0.0, 0.0, 1.0, 14.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 13.0, 0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 15.0, 13.0, 0.0, 3.0, 3.0, 0.0, 0.0, 0.0, 15.0, 15.0, 8.0, 15.0, 5.0, 0.0, 0.0, 0.0, 8.0, 16.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 12.0, 12.0, 15.0, 10.0, 0.0, 0.0, 0.0, 3.0, 16.0, 0.0, 10.0, 15.0, 1.0, 0.0, 0.0, 2.0, 16.0, 5.0, 7.0, 15.0, 3.0, 0.0, 0.0, 1.0, 12.0, 16.0, 15.0, 7.0, 0.0, 0.0], [0.0, 0.0, 4.0, 13.0, 13.0, 4.0, 0.0, 0.0, 0.0, 0.0, 16.0, 10.0, 10.0, 8.0, 0.0, 0.0, 0.0, 0.0, 14.0, 7.0, 6.0, 11.0, 0.0, 0.0, 0.0, 0.0, 6.0, 15.0, 15.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 9.0, 0.0, 0.0, 1.0, 4.0, 4.0, 6.0, 12.0, 10.0, 0.0, 0.0, 1.0, 6.0, 11.0, 15.0, 12.0, 1.0, 0.0], [0.0, 0.0, 7.0, 12.0, 13.0, 2.0, 0.0, 0.0, 0.0, 0.0, 14.0, 13.0, 8.0, 13.0, 0.0, 0.0, 0.0, 3.0, 16.0, 1.0, 0.0, 11.0, 2.0, 0.0, 0.0, 4.0, 14.0, 0.0, 0.0, 5.0, 8.0, 0.0, 0.0, 5.0, 8.0, 0.0, 0.0, 5.0, 8.0, 0.0, 0.0, 4.0, 16.0, 0.0, 2.0, 14.0, 7.0, 0.0, 0.0, 2.0, 16.0, 10.0, 14.0, 15.0, 1.0, 0.0, 0.0, 0.0, 6.0, 14.0, 14.0, 4.0, 0.0, 0.0], [0.0, 0.0, 5.0, 14.0, 11.0, 3.0, 0.0, 0.0, 0.0, 1.0, 15.0, 8.0, 13.0, 10.0, 0.0, 0.0, 0.0, 1.0, 15.0, 9.0, 9.0, 15.0, 2.0, 0.0, 0.0, 0.0, 10.0, 16.0, 16.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 4.0, 0.0, 0.0, 0.0, 7.0, 5.0, 9.0, 16.0, 0.0, 0.0, 0.0, 0.0, 6.0, 12.0, 13.0, 9.0, 0.0, 0.0], [0.0, 0.0, 15.0, 16.0, 12.0, 5.0, 0.0, 0.0, 0.0, 1.0, 16.0, 15.0, 11.0, 7.0, 0.0, 0.0, 0.0, 4.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 14.0, 12.0, 7.0, 0.0, 0.0, 0.0, 7.0, 16.0, 14.0, 10.0, 16.0, 3.0, 0.0, 0.0, 0.0, 1.0, 0.0, 10.0, 16.0, 4.0, 0.0, 0.0, 0.0, 1.0, 10.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 13.0, 15.0, 5.0, 0.0, 0.0, 0.0], [0.0, 0.0, 4.0, 9.0, 12.0, 16.0, 8.0, 0.0, 0.0, 0.0, 15.0, 15.0, 8.0, 8.0, 2.0, 0.0, 0.0, 4.0, 16.0, 11.0, 4.0, 1.0, 0.0, 0.0, 0.0, 8.0, 16.0, 16.0, 16.0, 14.0, 0.0, 0.0, 0.0, 0.0, 11.0, 9.0, 8.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 12.0, 0.0, 0.0, 0.0, 0.0, 3.0, 13.0, 9.0, 1.0, 0.0, 0.0], [0.0, 0.0, 4.0, 14.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 16.0, 15.0, 4.0, 0.0, 0.0, 0.0, 4.0, 16.0, 9.0, 4.0, 16.0, 2.0, 0.0, 0.0, 1.0, 15.0, 13.0, 6.0, 16.0, 11.0, 0.0, 0.0, 0.0, 4.0, 13.0, 16.0, 15.0, 5.0, 0.0], [0.0, 0.0, 7.0, 11.0, 13.0, 8.0, 1.0, 0.0, 0.0, 1.0, 15.0, 9.0, 8.0, 6.0, 0.0, 0.0, 0.0, 10.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 16.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 6.0, 5.0, 10.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 14.0, 16.0, 0.0, 0.0, 0.0, 0.0, 6.0, 14.0, 14.0, 4.0, 0.0, 0.0, 0.0, 1.0, 10.0, 14.0, 2.0, 0.0, 0.0, 0.0], [0.0, 0.0, 4.0, 14.0, 11.0, 3.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 12.0, 14.0, 1.0, 0.0, 0.0, 1.0, 14.0, 12.0, 0.0, 13.0, 3.0, 0.0, 0.0, 5.0, 16.0, 6.0, 0.0, 8.0, 6.0, 0.0, 0.0, 8.0, 16.0, 0.0, 0.0, 9.0, 8.0, 0.0, 0.0, 7.0, 16.0, 3.0, 7.0, 16.0, 5.0, 0.0, 0.0, 3.0, 15.0, 13.0, 16.0, 15.0, 2.0, 0.0, 0.0, 0.0, 4.0, 15.0, 12.0, 2.0, 0.0, 0.0], [0.0, 0.0, 12.0, 16.0, 14.0, 8.0, 0.0, 0.0, 0.0, 7.0, 16.0, 10.0, 14.0, 16.0, 0.0, 0.0, 0.0, 4.0, 16.0, 11.0, 14.0, 16.0, 4.0, 0.0, 0.0, 0.0, 5.0, 14.0, 16.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 6.0, 0.0, 0.0, 2.0, 12.0, 9.0, 16.0, 15.0, 1.0, 0.0, 0.0, 1.0, 9.0, 16.0, 14.0, 3.0, 0.0, 0.0], [0.0, 0.0, 7.0, 14.0, 11.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 13.0, 2.0, 2.0, 1.0, 0.0, 0.0, 3.0, 16.0, 9.0, 4.0, 13.0, 4.0, 0.0, 0.0, 0.0, 7.0, 16.0, 16.0, 14.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 16.0, 9.0, 10.0, 15.0, 0.0, 0.0, 0.0, 1.0, 16.0, 2.0, 5.0, 16.0, 4.0, 0.0, 0.0, 0.0, 7.0, 15.0, 16.0, 16.0, 3.0, 0.0], [0.0, 0.0, 9.0, 16.0, 14.0, 6.0, 0.0, 0.0, 0.0, 6.0, 16.0, 5.0, 10.0, 16.0, 0.0, 0.0, 0.0, 2.0, 15.0, 7.0, 10.0, 16.0, 3.0, 0.0, 0.0, 0.0, 4.0, 8.0, 12.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 8.0, 0.0, 0.0, 0.0, 3.0, 0.0, 8.0, 16.0, 1.0, 0.0, 0.0, 0.0, 10.0, 16.0, 13.0, 4.0, 0.0, 0.0], [0.0, 1.0, 15.0, 14.0, 2.0, 0.0, 0.0, 0.0, 0.0, 6.0, 14.0, 0.0, 0.0, 3.0, 2.0, 0.0, 0.0, 2.0, 16.0, 3.0, 2.0, 13.0, 3.0, 0.0, 0.0, 0.0, 11.0, 14.0, 15.0, 9.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 13.0, 14.0, 0.0, 0.0, 0.0, 0.0, 2.0, 15.0, 4.0, 16.0, 3.0, 0.0, 0.0, 0.0, 1.0, 15.0, 16.0, 12.0, 1.0, 0.0, 0.0], [0.0, 0.0, 0.0, 5.0, 12.0, 0.0, 2.0, 1.0, 0.0, 0.0, 1.0, 14.0, 4.0, 1.0, 14.0, 8.0, 0.0, 0.0, 10.0, 8.0, 0.0, 9.0, 15.0, 1.0, 0.0, 1.0, 15.0, 1.0, 2.0, 15.0, 8.0, 0.0, 0.0, 5.0, 16.0, 6.0, 11.0, 16.0, 2.0, 0.0, 0.0, 5.0, 16.0, 16.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 15.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 11.0, 0.0, 0.0, 0.0], [0.0, 0.0, 3.0, 14.0, 15.0, 9.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 16.0, 13.0, 0.0, 0.0, 0.0, 2.0, 13.0, 16.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 12.0, 16.0, 16.0, 4.0, 0.0, 0.0, 0.0, 2.0, 13.0, 16.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 12.0, 16.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 16.0, 16.0, 6.0, 0.0, 0.0, 0.0, 2.0, 10.0, 16.0, 16.0, 2.0, 0.0], [0.0, 0.0, 3.0, 12.0, 16.0, 16.0, 15.0, 0.0, 0.0, 0.0, 9.0, 10.0, 7.0, 12.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 15.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 13.0, 0.0, 0.0, 0.0, 1.0, 9.0, 9.0, 16.0, 11.0, 1.0, 0.0, 0.0, 13.0, 16.0, 16.0, 16.0, 16.0, 4.0, 0.0, 0.0, 0.0, 1.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 2.0, 0.0, 0.0, 0.0], [0.0, 0.0, 1.0, 11.0, 16.0, 16.0, 8.0, 0.0, 0.0, 0.0, 5.0, 11.0, 9.0, 16.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 6.0, 0.0, 0.0, 0.0, 6.0, 9.0, 12.0, 16.0, 9.0, 0.0, 0.0, 1.0, 16.0, 16.0, 16.0, 14.0, 3.0, 0.0, 0.0, 0.0, 3.0, 5.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 5.0, 0.0, 0.0, 0.0], [0.0, 0.0, 8.0, 14.0, 16.0, 16.0, 15.0, 1.0, 0.0, 0.0, 6.0, 6.0, 5.0, 12.0, 12.0, 1.0, 0.0, 0.0, 0.0, 2.0, 11.0, 12.0, 3.0, 0.0, 0.0, 0.0, 5.0, 14.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 11.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 2.0, 7.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 9.0, 13.0, 5.0, 0.0, 0.0, 0.0], [0.0, 0.0, 8.0, 12.0, 15.0, 16.0, 5.0, 0.0, 0.0, 0.0, 10.0, 11.0, 2.0, 3.0, 0.0, 0.0, 0.0, 0.0, 13.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 10.0, 12.0, 11.0, 1.0, 0.0, 0.0, 1.0, 16.0, 13.0, 8.0, 14.0, 7.0, 0.0, 0.0, 0.0, 1.0, 0.0, 0.0, 13.0, 3.0, 0.0, 0.0, 0.0, 1.0, 6.0, 12.0, 10.0, 0.0, 0.0, 0.0, 0.0, 10.0, 10.0, 7.0, 0.0, 0.0, 0.0], [0.0, 0.0, 1.0, 7.0, 10.0, 3.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 16.0, 12.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 16.0, 12.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 14.0, 16.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0, 12.0, 16.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 1.0, 9.0, 12.0, 9.0, 0.0, 0.0], [0.0, 0.0, 10.0, 12.0, 14.0, 1.0, 0.0, 0.0, 0.0, 0.0, 16.0, 16.0, 16.0, 12.0, 0.0, 0.0, 0.0, 5.0, 16.0, 8.0, 3.0, 16.0, 0.0, 0.0, 0.0, 8.0, 13.0, 0.0, 0.0, 8.0, 7.0, 0.0, 0.0, 8.0, 12.0, 0.0, 0.0, 6.0, 8.0, 0.0, 0.0, 8.0, 13.0, 0.0, 4.0, 12.0, 8.0, 0.0, 0.0, 7.0, 16.0, 16.0, 16.0, 13.0, 0.0, 0.0, 0.0, 0.0, 11.0, 14.0, 8.0, 1.0, 0.0, 0.0], [0.0, 0.0, 5.0, 12.0, 1.0, 6.0, 0.0, 0.0, 0.0, 0.0, 11.0, 12.0, 0.0, 16.0, 2.0, 0.0, 0.0, 0.0, 16.0, 5.0, 0.0, 12.0, 4.0, 0.0, 0.0, 3.0, 15.0, 0.0, 0.0, 8.0, 4.0, 0.0, 0.0, 7.0, 12.0, 0.0, 0.0, 4.0, 7.0, 0.0, 0.0, 2.0, 15.0, 1.0, 1.0, 12.0, 5.0, 0.0, 0.0, 0.0, 16.0, 11.0, 12.0, 15.0, 3.0, 0.0, 0.0, 0.0, 4.0, 12.0, 12.0, 3.0, 0.0, 0.0], [0.0, 0.0, 13.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 9.0, 13.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 13.0, 15.0, 8.0, 12.0, 11.0, 0.0, 0.0, 0.0, 12.0, 16.0, 16.0, 12.0, 2.0, 0.0], [0.0, 5.0, 15.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 16.0, 11.0, 0.0, 0.0, 0.0, 0.0, 6.0, 10.0, 11.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 16.0, 15.0, 12.0, 11.0, 0.0, 0.0, 6.0, 16.0, 16.0, 16.0, 13.0, 3.0, 0.0], [0.0, 0.0, 7.0, 14.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 14.0, 14.0, 16.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 12.0, 0.0, 0.0, 0.0, 0.0, 4.0, 4.0, 14.0, 9.0, 2.0, 0.0, 0.0, 7.0, 16.0, 16.0, 16.0, 16.0, 7.0, 0.0, 0.0, 6.0, 12.0, 16.0, 11.0, 1.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 13.0, 0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 6.0, 14.0, 9.0, 5.0, 2.0, 0.0, 0.0, 7.0, 15.0, 6.0, 2.0, 12.0, 8.0, 0.0, 0.0, 5.0, 15.0, 2.0, 8.0, 15.0, 1.0, 0.0, 0.0, 1.0, 12.0, 14.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 10.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 9.0, 2.0, 13.0, 8.0, 0.0, 0.0, 0.0, 0.0, 5.0, 14.0, 11.0, 3.0, 0.0, 0.0], [0.0, 4.0, 15.0, 11.0, 1.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 2.0, 6.0, 13.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 13.0, 16.0, 13.0, 12.0, 6.0, 0.0, 0.0, 5.0, 16.0, 15.0, 16.0, 12.0, 3.0, 0.0], [0.0, 0.0, 9.0, 13.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 16.0, 16.0, 12.0, 0.0, 0.0, 0.0, 2.0, 16.0, 7.0, 6.0, 15.0, 3.0, 0.0, 0.0, 8.0, 14.0, 0.0, 0.0, 8.0, 3.0, 0.0, 0.0, 5.0, 14.0, 0.0, 0.0, 8.0, 8.0, 0.0, 0.0, 2.0, 16.0, 13.0, 11.0, 14.0, 4.0, 0.0, 0.0, 3.0, 16.0, 15.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 6.0, 14.0, 8.0, 0.0, 0.0, 0.0], [0.0, 0.0, 5.0, 11.0, 12.0, 5.0, 0.0, 0.0, 0.0, 0.0, 12.0, 6.0, 2.0, 3.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 12.0, 16.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 12.0, 16.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 12.0, 16.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 12.0, 16.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 6.0, 12.0, 11.0, 7.0, 0.0, 0.0], [0.0, 2.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 3.0, 10.0, 12.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 15.0, 15.0, 12.0, 5.0, 0.0, 0.0, 2.0, 16.0, 16.0, 16.0, 16.0, 15.0, 2.0, 0.0, 2.0, 15.0, 14.0, 12.0, 12.0, 7.0, 0.0], [0.0, 0.0, 1.0, 13.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 10.0, 2.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 16.0, 16.0, 10.0, 1.0, 0.0, 0.0, 4.0, 16.0, 6.0, 2.0, 14.0, 7.0, 0.0, 0.0, 0.0, 11.0, 15.0, 12.0, 15.0, 8.0, 0.0, 0.0, 0.0, 2.0, 14.0, 15.0, 6.0, 0.0, 0.0], [0.0, 0.0, 5.0, 13.0, 16.0, 10.0, 1.0, 0.0, 0.0, 7.0, 16.0, 16.0, 16.0, 16.0, 7.0, 0.0, 0.0, 0.0, 5.0, 2.0, 11.0, 14.0, 5.0, 0.0, 0.0, 0.0, 0.0, 10.0, 15.0, 6.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 13.0, 2.0, 0.0, 0.0, 0.0, 0.0, 4.0, 11.0, 15.0, 14.0, 0.0, 0.0, 0.0, 0.0, 2.0, 2.0, 13.0, 16.0, 1.0, 0.0, 0.0, 0.0, 5.0, 14.0, 15.0, 9.0, 0.0, 0.0], [0.0, 0.0, 6.0, 11.0, 16.0, 13.0, 5.0, 0.0, 0.0, 2.0, 16.0, 16.0, 16.0, 16.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 10.0, 15.0, 5.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 16.0, 13.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 14.0, 0.0, 0.0, 0.0, 0.0, 5.0, 14.0, 11.0, 6.0, 0.0, 0.0], [0.0, 0.0, 2.0, 14.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 4.0, 12.0, 16.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 9.0, 0.0, 0.0, 0.0, 2.0, 5.0, 10.0, 16.0, 12.0, 2.0, 0.0, 0.0, 16.0, 16.0, 16.0, 16.0, 14.0, 3.0, 0.0, 0.0, 4.0, 4.0, 14.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 7.0, 0.0, 0.0, 0.0], [0.0, 0.0, 4.0, 12.0, 13.0, 1.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 16.0, 11.0, 4.0, 0.0, 0.0, 0.0, 0.0, 4.0, 8.0, 16.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 14.0, 14.0, 0.0, 0.0, 0.0, 0.0, 4.0, 15.0, 16.0, 11.0, 0.0, 0.0, 0.0, 5.0, 16.0, 14.0, 8.0, 0.0, 0.0], [0.0, 1.0, 9.0, 16.0, 16.0, 12.0, 1.0, 0.0, 0.0, 0.0, 7.0, 8.0, 10.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 4.0, 0.0, 0.0, 0.0, 5.0, 13.0, 13.0, 3.0, 0.0, 0.0, 0.0, 0.0, 13.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 3.0, 5.0, 14.0, 15.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 11.0, 4.0, 0.0, 0.0], [0.0, 0.0, 0.0, 2.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 12.0, 0.0, 0.0, 13.0, 5.0, 0.0, 0.0, 13.0, 8.0, 0.0, 9.0, 14.0, 0.0, 0.0, 4.0, 16.0, 16.0, 12.0, 16.0, 4.0, 0.0, 0.0, 4.0, 12.0, 12.0, 15.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 15.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 10.0, 0.0, 0.0, 0.0], [0.0, 0.0, 4.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 12.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 11.0, 2.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 16.0, 16.0, 13.0, 1.0, 0.0, 0.0, 2.0, 16.0, 14.0, 15.0, 16.0, 5.0, 0.0, 0.0, 0.0, 5.0, 15.0, 14.0, 7.0, 0.0, 0.0], [0.0, 0.0, 5.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 14.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 9.0, 1.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 16.0, 16.0, 9.0, 0.0, 0.0, 0.0, 1.0, 16.0, 10.0, 8.0, 16.0, 6.0, 0.0, 0.0, 0.0, 12.0, 14.0, 5.0, 9.0, 13.0, 0.0, 0.0, 0.0, 4.0, 15.0, 15.0, 12.0, 3.0, 0.0], [0.0, 0.0, 3.0, 14.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 2.0, 5.0, 2.0, 0.0, 0.0, 0.0, 4.0, 16.0, 2.0, 12.0, 15.0, 2.0, 0.0, 0.0, 1.0, 14.0, 13.0, 2.0, 13.0, 11.0, 0.0, 0.0, 0.0, 3.0, 11.0, 16.0, 13.0, 4.0, 0.0], [0.0, 0.0, 0.0, 1.0, 15.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 9.0, 0.0, 6.0, 0.0, 0.0, 0.0, 6.0, 15.0, 1.0, 11.0, 15.0, 0.0, 0.0, 5.0, 16.0, 14.0, 10.0, 16.0, 8.0, 0.0, 1.0, 15.0, 16.0, 16.0, 16.0, 16.0, 3.0, 0.0, 0.0, 3.0, 7.0, 5.0, 13.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 3.0, 0.0, 0.0], [0.0, 0.0, 10.0, 16.0, 9.0, 1.0, 0.0, 0.0, 0.0, 7.0, 16.0, 9.0, 14.0, 11.0, 0.0, 0.0, 0.0, 8.0, 14.0, 1.0, 7.0, 14.0, 2.0, 0.0, 0.0, 2.0, 14.0, 14.0, 14.0, 15.0, 3.0, 0.0, 0.0, 0.0, 2.0, 4.0, 4.0, 16.0, 4.0, 0.0, 0.0, 0.0, 3.0, 0.0, 0.0, 13.0, 9.0, 0.0, 0.0, 2.0, 15.0, 8.0, 8.0, 14.0, 8.0, 0.0, 0.0, 0.0, 8.0, 15.0, 13.0, 10.0, 0.0, 0.0], [0.0, 0.0, 11.0, 15.0, 12.0, 1.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 12.0, 16.0, 16.0, 16.0, 1.0, 0.0, 0.0, 0.0, 13.0, 16.0, 16.0, 13.0, 2.0, 0.0, 0.0, 0.0, 14.0, 16.0, 16.0, 4.0, 0.0, 0.0, 0.0, 2.0, 16.0, 16.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 16.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 13.0, 1.0, 0.0, 0.0], [0.0, 0.0, 7.0, 12.0, 16.0, 9.0, 0.0, 0.0, 0.0, 4.0, 16.0, 6.0, 7.0, 3.0, 0.0, 0.0, 0.0, 4.0, 16.0, 2.0, 8.0, 3.0, 0.0, 0.0, 0.0, 7.0, 16.0, 15.0, 13.0, 16.0, 3.0, 0.0, 0.0, 5.0, 11.0, 1.0, 1.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 10.0, 11.0, 4.0, 0.0, 0.0, 0.0], [0.0, 0.0, 10.0, 11.0, 7.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 16.0, 16.0, 10.0, 0.0, 0.0, 0.0, 4.0, 16.0, 6.0, 5.0, 15.0, 2.0, 0.0, 0.0, 8.0, 12.0, 0.0, 0.0, 5.0, 8.0, 0.0, 0.0, 8.0, 10.0, 0.0, 0.0, 5.0, 8.0, 0.0, 0.0, 6.0, 13.0, 1.0, 5.0, 14.0, 5.0, 0.0, 0.0, 0.0, 14.0, 13.0, 15.0, 11.0, 1.0, 0.0, 0.0, 0.0, 7.0, 12.0, 8.0, 0.0, 0.0, 0.0], [0.0, 0.0, 8.0, 16.0, 11.0, 0.0, 0.0, 0.0, 0.0, 2.0, 15.0, 8.0, 16.0, 7.0, 0.0, 0.0, 0.0, 3.0, 13.0, 1.0, 14.0, 13.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 16.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 2.0, 5.0, 15.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 6.0, 0.0, 0.0, 0.0, 5.0, 6.0, 5.0, 15.0, 4.0, 0.0, 0.0, 0.0, 6.0, 15.0, 16.0, 12.0, 1.0, 0.0], [0.0, 0.0, 3.0, 10.0, 16.0, 12.0, 0.0, 0.0, 0.0, 0.0, 13.0, 12.0, 0.0, 2.0, 0.0, 0.0, 0.0, 4.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 14.0, 16.0, 14.0, 2.0, 0.0, 0.0, 6.0, 16.0, 12.0, 5.0, 16.0, 5.0, 0.0, 0.0, 1.0, 12.0, 1.0, 0.0, 14.0, 7.0, 0.0, 0.0, 0.0, 0.0, 3.0, 13.0, 13.0, 1.0, 0.0, 0.0, 0.0, 1.0, 13.0, 10.0, 1.0, 0.0, 0.0], [0.0, 4.0, 15.0, 15.0, 8.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 16.0, 16.0, 3.0, 0.0, 0.0, 0.0, 1.0, 0.0, 1.0, 15.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 15.0, 2.0, 0.0, 0.0, 0.0, 0.0, 4.0, 15.0, 16.0, 14.0, 6.0, 0.0, 0.0, 6.0, 16.0, 16.0, 15.0, 11.0, 3.0, 0.0, 0.0, 7.0, 14.0, 11.0, 0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 7.0, 12.0, 10.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 16.0, 16.0, 9.0, 1.0, 0.0, 0.0, 0.0, 8.0, 16.0, 16.0, 11.0, 1.0, 0.0, 0.0, 0.0, 10.0, 16.0, 16.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 14.0, 16.0, 4.0, 0.0, 0.0, 0.0, 4.0, 13.0, 0.0, 7.0, 15.0, 0.0, 0.0, 0.0, 4.0, 14.0, 2.0, 2.0, 16.0, 0.0, 0.0, 0.0, 0.0, 6.0, 11.0, 10.0, 5.0, 0.0, 0.0], [0.0, 2.0, 11.0, 16.0, 13.0, 2.0, 0.0, 0.0, 0.0, 11.0, 15.0, 12.0, 16.0, 7.0, 0.0, 0.0, 0.0, 7.0, 6.0, 0.0, 14.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 4.0, 3.0, 3.0, 0.0, 0.0, 3.0, 15.0, 16.0, 15.0, 15.0, 11.0, 0.0, 0.0, 2.0, 13.0, 12.0, 9.0, 0.0, 0.0, 0.0], [0.0, 0.0, 7.0, 14.0, 8.0, 4.0, 0.0, 0.0, 0.0, 0.0, 16.0, 8.0, 15.0, 14.0, 1.0, 0.0, 0.0, 4.0, 16.0, 4.0, 0.0, 8.0, 4.0, 0.0, 0.0, 8.0, 14.0, 0.0, 0.0, 4.0, 4.0, 0.0, 0.0, 8.0, 16.0, 0.0, 0.0, 4.0, 5.0, 0.0, 0.0, 3.0, 16.0, 1.0, 0.0, 11.0, 4.0, 0.0, 0.0, 0.0, 15.0, 16.0, 16.0, 12.0, 0.0, 0.0, 0.0, 0.0, 6.0, 13.0, 7.0, 0.0, 0.0, 0.0], [0.0, 0.0, 9.0, 15.0, 6.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 16.0, 16.0, 7.0, 0.0, 0.0, 0.0, 4.0, 14.0, 5.0, 11.0, 13.0, 0.0, 0.0, 0.0, 7.0, 12.0, 0.0, 0.0, 12.0, 4.0, 0.0, 0.0, 8.0, 11.0, 0.0, 0.0, 7.0, 5.0, 0.0, 0.0, 4.0, 13.0, 1.0, 1.0, 10.0, 6.0, 0.0, 0.0, 2.0, 16.0, 15.0, 15.0, 14.0, 1.0, 0.0, 0.0, 0.0, 8.0, 15.0, 11.0, 4.0, 0.0, 0.0], [0.0, 0.0, 4.0, 12.0, 12.0, 7.0, 0.0, 0.0, 0.0, 0.0, 16.0, 16.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 16.0, 16.0, 16.0, 16.0, 0.0, 0.0, 0.0, 4.0, 16.0, 16.0, 16.0, 12.0, 0.0, 0.0, 0.0, 4.0, 16.0, 16.0, 16.0, 12.0, 0.0, 0.0, 0.0, 3.0, 15.0, 16.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 12.0, 16.0, 16.0, 8.0, 0.0, 0.0, 0.0, 1.0, 7.0, 12.0, 11.0, 5.0, 0.0, 0.0], [0.0, 0.0, 6.0, 15.0, 14.0, 1.0, 0.0, 0.0, 0.0, 0.0, 13.0, 16.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 3.0, 8.0, 16.0, 2.0, 0.0, 0.0, 0.0, 2.0, 6.0, 12.0, 16.0, 7.0, 2.0, 0.0, 0.0, 13.0, 16.0, 16.0, 16.0, 16.0, 9.0, 0.0, 0.0, 10.0, 13.0, 16.0, 7.0, 1.0, 0.0, 0.0, 0.0, 0.0, 6.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 8.0, 0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 13.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 15.0, 15.0, 6.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 14.0, 13.0, 10.0, 2.0, 0.0, 0.0, 0.0, 12.0, 16.0, 13.0, 16.0, 12.0, 0.0, 0.0, 0.0, 1.0, 10.0, 16.0, 14.0, 4.0, 0.0], [0.0, 0.0, 7.0, 16.0, 16.0, 15.0, 8.0, 0.0, 0.0, 0.0, 12.0, 15.0, 15.0, 16.0, 11.0, 0.0, 0.0, 0.0, 0.0, 3.0, 14.0, 15.0, 2.0, 0.0, 0.0, 0.0, 1.0, 14.0, 12.0, 1.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 15.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 12.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 12.0, 14.0, 1.0, 0.0, 0.0, 0.0, 10.0, 15.0, 10.0, 4.0, 0.0, 0.0], [0.0, 0.0, 11.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 6.0, 15.0, 16.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 11.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 15.0, 2.0, 0.0, 0.0, 0.0, 1.0, 9.0, 15.0, 9.0, 3.0, 0.0, 0.0, 0.0, 0.0, 16.0, 16.0, 16.0, 16.0, 7.0, 0.0, 0.0, 0.0, 10.0, 13.0, 8.0, 4.0, 1.0, 0.0], [0.0, 0.0, 4.0, 10.0, 12.0, 7.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 16.0, 15.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 16.0, 12.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 2.0, 14.0, 16.0, 11.0, 1.0, 0.0, 0.0, 0.0, 0.0, 16.0, 16.0, 16.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 16.0, 12.0, 0.0, 0.0, 0.0, 0.0, 1.0, 9.0, 10.0, 0.0, 0.0, 0.0], [0.0, 0.0, 1.0, 15.0, 15.0, 2.0, 0.0, 0.0, 0.0, 0.0, 3.0, 12.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 3.0, 8.0, 16.0, 4.0, 0.0, 0.0, 0.0, 10.0, 16.0, 16.0, 16.0, 16.0, 8.0, 0.0, 0.0, 8.0, 11.0, 14.0, 14.0, 5.0, 1.0, 0.0, 0.0, 0.0, 0.0, 15.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 15.0, 2.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 0.0, 13.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 10.0, 2.0, 9.0, 0.0, 0.0, 1.0, 11.0, 13.0, 0.0, 10.0, 15.0, 0.0, 0.0, 12.0, 15.0, 5.0, 7.0, 14.0, 10.0, 0.0, 1.0, 15.0, 16.0, 16.0, 16.0, 16.0, 4.0, 0.0, 0.0, 4.0, 4.0, 3.0, 10.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 7.0, 0.0, 0.0], [0.0, 0.0, 0.0, 8.0, 15.0, 3.0, 0.0, 0.0, 0.0, 0.0, 1.0, 15.0, 11.0, 2.0, 0.0, 0.0, 0.0, 0.0, 13.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 15.0, 5.0, 0.0, 0.0, 0.0, 0.0, 3.0, 15.0, 16.0, 11.0, 14.0, 7.0, 0.0, 0.0, 0.0, 11.0, 16.0, 6.0, 6.0, 15.0, 0.0, 0.0, 0.0, 0.0, 10.0, 14.0, 12.0, 8.0, 0.0], [0.0, 0.0, 10.0, 15.0, 15.0, 11.0, 4.0, 0.0, 0.0, 1.0, 10.0, 5.0, 7.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 1.0, 14.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 10.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 7.0, 15.0, 3.0, 0.0, 0.0, 0.0, 6.0, 11.0, 16.0, 8.0, 0.0, 0.0], [0.0, 0.0, 4.0, 16.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 16.0, 15.0, 1.0, 0.0, 0.0, 0.0, 4.0, 16.0, 16.0, 12.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 16.0, 15.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 16.0, 6.0, 0.0, 0.0, 0.0, 1.0, 13.0, 16.0, 16.0, 4.0, 0.0, 0.0, 0.0, 3.0, 16.0, 16.0, 15.0, 2.0, 0.0, 0.0, 0.0, 0.0, 6.0, 12.0, 12.0, 2.0, 0.0, 0.0], [0.0, 0.0, 3.0, 13.0, 16.0, 5.0, 0.0, 0.0, 0.0, 6.0, 15.0, 9.0, 15.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 7.0, 14.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 16.0, 14.0, 3.0, 0.0, 0.0, 0.0, 0.0, 3.0, 2.0, 15.0, 10.0, 0.0, 0.0, 0.0, 4.0, 5.0, 12.0, 16.0, 14.0, 0.0, 0.0, 0.0, 5.0, 13.0, 14.0, 8.0, 2.0, 0.0], [0.0, 0.0, 7.0, 16.0, 9.0, 8.0, 2.0, 0.0, 0.0, 5.0, 16.0, 14.0, 16.0, 16.0, 4.0, 0.0, 0.0, 8.0, 14.0, 0.0, 6.0, 16.0, 4.0, 0.0, 0.0, 1.0, 16.0, 16.0, 15.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 4.0, 4.0, 13.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 13.0, 8.0, 0.0, 0.0, 0.0, 12.0, 9.0, 11.0, 16.0, 7.0, 0.0, 0.0, 0.0, 7.0, 15.0, 14.0, 7.0, 0.0, 0.0], [0.0, 0.0, 1.0, 12.0, 10.0, 3.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 12.0, 16.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 14.0, 16.0, 16.0, 2.0, 0.0, 0.0, 0.0, 1.0, 15.0, 16.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 15.0, 16.0, 15.0, 2.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 1.0, 7.0, 12.0, 10.0, 0.0, 0.0], [0.0, 0.0, 1.0, 10.0, 16.0, 16.0, 1.0, 0.0, 0.0, 0.0, 9.0, 16.0, 13.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 12.0, 12.0, 5.0, 0.0, 0.0, 0.0, 7.0, 16.0, 16.0, 10.0, 4.0, 0.0, 0.0, 0.0, 3.0, 11.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 2.0, 13.0, 13.0, 1.0, 0.0, 0.0, 0.0, 0.0, 12.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 9.0, 3.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 14.0, 12.0, 13.0, 4.0, 0.0, 0.0, 0.0, 14.0, 10.0, 0.0, 10.0, 15.0, 0.0, 0.0, 0.0, 2.0, 12.0, 16.0, 13.0, 7.0, 0.0], [0.0, 0.0, 5.0, 12.0, 13.0, 4.0, 0.0, 0.0, 0.0, 3.0, 16.0, 10.0, 2.0, 5.0, 9.0, 0.0, 0.0, 0.0, 15.0, 14.0, 11.0, 15.0, 3.0, 0.0, 0.0, 0.0, 7.0, 16.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 8.0, 14.0, 13.0, 12.0, 0.0, 0.0, 0.0, 0.0, 12.0, 12.0, 13.0, 11.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 11.0, 2.0, 0.0, 0.0], [0.0, 0.0, 0.0, 3.0, 13.0, 7.0, 0.0, 0.0, 0.0, 0.0, 1.0, 14.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 12.0, 1.0, 2.0, 3.0, 0.0, 0.0, 7.0, 16.0, 4.0, 1.0, 15.0, 10.0, 0.0, 0.0, 10.0, 14.0, 0.0, 7.0, 16.0, 8.0, 0.0, 0.0, 15.0, 16.0, 16.0, 16.0, 16.0, 1.0, 0.0, 0.0, 4.0, 11.0, 11.0, 15.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 15.0, 4.0, 0.0, 0.0], [0.0, 1.0, 7.0, 13.0, 16.0, 13.0, 0.0, 0.0, 0.0, 7.0, 16.0, 16.0, 16.0, 14.0, 0.0, 0.0, 0.0, 1.0, 7.0, 16.0, 10.0, 1.0, 0.0, 0.0, 0.0, 1.0, 16.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 15.0, 14.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 14.0, 15.0, 3.0, 0.0, 0.0, 0.0, 1.0, 5.0, 13.0, 16.0, 7.0, 0.0, 0.0, 0.0, 8.0, 15.0, 10.0, 6.0, 0.0, 0.0], [0.0, 0.0, 8.0, 12.0, 11.0, 6.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 16.0, 13.0, 2.0, 0.0, 0.0, 2.0, 14.0, 16.0, 16.0, 14.0, 2.0, 0.0, 0.0, 2.0, 13.0, 16.0, 16.0, 8.0, 0.0, 0.0, 0.0, 4.0, 16.0, 16.0, 16.0, 8.0, 0.0, 0.0, 0.0, 4.0, 16.0, 16.0, 16.0, 10.0, 0.0, 0.0, 0.0, 1.0, 11.0, 16.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 4.0, 11.0, 12.0, 7.0, 0.0, 0.0], [0.0, 0.0, 0.0, 2.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 15.0, 9.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 12.0, 0.0, 9.0, 12.0, 0.0, 0.0, 9.0, 16.0, 16.0, 16.0, 16.0, 10.0, 0.0, 0.0, 1.0, 6.0, 10.0, 14.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 7.0, 0.0, 0.0], [0.0, 0.0, 5.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 14.0, 14.0, 1.0, 12.0, 0.0, 0.0, 0.0, 0.0, 15.0, 10.0, 0.0, 7.0, 4.0, 0.0, 0.0, 2.0, 16.0, 7.0, 0.0, 2.0, 9.0, 0.0, 0.0, 2.0, 16.0, 8.0, 0.0, 6.0, 11.0, 0.0, 0.0, 1.0, 12.0, 14.0, 14.0, 16.0, 5.0, 0.0, 0.0, 0.0, 4.0, 15.0, 16.0, 8.0, 1.0, 0.0], [0.0, 0.0, 9.0, 12.0, 14.0, 6.0, 0.0, 0.0, 0.0, 0.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 15.0, 12.0, 16.0, 9.0, 1.0, 0.0, 0.0, 1.0, 8.0, 6.0, 2.0, 12.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 15.0, 2.0, 0.0, 0.0, 0.0, 12.0, 14.0, 9.0, 2.0, 0.0, 0.0], [0.0, 2.0, 10.0, 12.0, 16.0, 8.0, 0.0, 0.0, 0.0, 4.0, 8.0, 5.0, 13.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 15.0, 7.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 5.0, 0.0, 0.0, 2.0, 14.0, 16.0, 12.0, 9.0, 0.0, 0.0], [0.0, 0.0, 0.0, 6.0, 12.0, 6.0, 0.0, 0.0, 0.0, 0.0, 1.0, 15.0, 14.0, 1.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 1.0, 13.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 16.0, 11.0, 4.0, 0.0, 0.0, 0.0, 0.0, 16.0, 16.0, 16.0, 16.0, 7.0, 0.0, 0.0, 0.0, 9.0, 16.0, 16.0, 16.0, 12.0, 0.0, 0.0, 0.0, 0.0, 6.0, 11.0, 12.0, 5.0, 0.0], [0.0, 0.0, 5.0, 14.0, 11.0, 8.0, 0.0, 0.0, 0.0, 4.0, 15.0, 2.0, 16.0, 16.0, 0.0, 0.0, 0.0, 8.0, 12.0, 0.0, 12.0, 16.0, 0.0, 0.0, 0.0, 2.0, 15.0, 16.0, 16.0, 15.0, 4.0, 0.0, 0.0, 0.0, 0.0, 4.0, 10.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 2.0, 0.0, 0.0, 3.0, 13.0, 8.0, 14.0, 16.0, 0.0, 0.0, 0.0, 0.0, 7.0, 15.0, 12.0, 5.0, 0.0, 0.0], [0.0, 0.0, 2.0, 13.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 8.0, 2.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 16.0, 16.0, 11.0, 0.0, 0.0, 0.0, 4.0, 16.0, 2.0, 4.0, 11.0, 9.0, 0.0, 0.0, 1.0, 13.0, 11.0, 8.0, 12.0, 12.0, 0.0, 0.0, 0.0, 1.0, 12.0, 16.0, 14.0, 4.0, 0.0], [0.0, 0.0, 6.0, 12.0, 12.0, 6.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 16.0, 13.0, 0.0, 0.0, 0.0, 0.0, 12.0, 16.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 16.0, 12.0, 0.0, 0.0, 0.0, 2.0, 13.0, 16.0, 16.0, 12.0, 0.0, 0.0, 0.0, 1.0, 16.0, 16.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 16.0, 16.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 2.0, 11.0, 10.0, 4.0, 0.0, 0.0], [0.0, 0.0, 6.0, 16.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 16.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 15.0, 11.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 16.0, 16.0, 13.0, 0.0, 0.0, 0.0, 11.0, 16.0, 16.0, 5.0, 1.0, 0.0, 0.0, 0.0, 0.0, 14.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 11.0, 0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 12.0, 16.0, 16.0, 7.0, 0.0, 0.0, 0.0, 3.0, 16.0, 10.0, 2.0, 2.0, 0.0, 0.0, 0.0, 4.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 12.0, 12.0, 9.0, 1.0, 0.0, 0.0, 1.0, 15.0, 16.0, 12.0, 15.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 14.0, 11.0, 0.0, 0.0, 0.0, 3.0, 9.0, 16.0, 16.0, 7.0, 0.0, 0.0, 0.0, 10.0, 12.0, 12.0, 4.0, 0.0, 0.0], [0.0, 0.0, 0.0, 2.0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 10.0, 5.0, 7.0, 0.0, 0.0, 0.0, 11.0, 15.0, 2.0, 13.0, 7.0, 0.0, 0.0, 10.0, 16.0, 8.0, 8.0, 16.0, 6.0, 0.0, 0.0, 8.0, 12.0, 12.0, 13.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 13.0, 3.0, 0.0, 0.0], [0.0, 0.0, 0.0, 1.0, 13.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 15.0, 3.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 9.0, 2.0, 1.0, 0.0, 0.0, 2.0, 14.0, 13.0, 1.0, 16.0, 6.0, 0.0, 0.0, 11.0, 16.0, 6.0, 8.0, 16.0, 3.0, 0.0, 1.0, 16.0, 16.0, 16.0, 16.0, 13.0, 0.0, 0.0, 0.0, 7.0, 12.0, 13.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 7.0, 0.0, 0.0], [0.0, 0.0, 3.0, 10.0, 16.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 14.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 15.0, 4.0, 0.0, 0.0, 0.0, 4.0, 4.0, 12.0, 15.0, 5.0, 0.0, 0.0, 1.0, 15.0, 16.0, 16.0, 9.0, 4.0, 0.0, 0.0, 0.0, 2.0, 11.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 12.0, 0.0, 0.0, 0.0, 0.0], [0.0, 3.0, 14.0, 15.0, 6.0, 0.0, 0.0, 0.0, 0.0, 7.0, 15.0, 14.0, 15.0, 0.0, 0.0, 0.0, 0.0, 2.0, 7.0, 2.0, 14.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 14.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0, 15.0, 2.0, 0.0, 0.0, 0.0, 0.0, 5.0, 15.0, 14.0, 4.0, 1.0, 0.0, 0.0, 4.0, 15.0, 16.0, 16.0, 16.0, 6.0, 0.0, 0.0, 4.0, 15.0, 13.0, 12.0, 11.0, 1.0, 0.0], [0.0, 0.0, 10.0, 16.0, 14.0, 5.0, 0.0, 0.0, 0.0, 2.0, 16.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 7.0, 16.0, 16.0, 3.0, 0.0, 0.0, 0.0, 0.0, 14.0, 14.0, 13.0, 11.0, 0.0, 0.0, 0.0, 5.0, 16.0, 1.0, 6.0, 15.0, 0.0, 0.0, 0.0, 7.0, 14.0, 9.0, 13.0, 15.0, 1.0, 0.0, 0.0, 1.0, 11.0, 16.0, 15.0, 6.0, 0.0, 0.0], [0.0, 1.0, 10.0, 13.0, 2.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 16.0, 12.0, 0.0, 0.0, 0.0, 0.0, 9.0, 9.0, 8.0, 16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 1.0, 11.0, 15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 13.0, 2.0, 0.0, 0.0, 0.0, 0.0, 14.0, 16.0, 16.0, 16.0, 13.0, 0.0, 0.0, 0.0, 9.0, 13.0, 11.0, 10.0, 9.0, 0.0], [0.0, 0.0, 15.0, 13.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 14.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 4.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 8.0, 6.0, 5.0, 0.0, 0.0, 0.0, 13.0, 16.0, 16.0, 16.0, 14.0, 0.0, 0.0, 0.0, 10.0, 13.0, 10.0, 6.0, 2.0, 0.0], [0.0, 0.0, 1.0, 10.0, 14.0, 13.0, 1.0, 0.0, 0.0, 0.0, 8.0, 12.0, 6.0, 4.0, 0.0, 0.0, 0.0, 0.0, 14.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 12.0, 13.0, 12.0, 0.0, 0.0, 0.0, 2.0, 11.0, 11.0, 8.0, 14.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 15.0, 2.0, 0.0, 0.0, 0.0, 0.0, 12.0, 14.0, 4.0, 0.0, 0.0], [0.0, 1.0, 10.0, 16.0, 15.0, 2.0, 0.0, 0.0, 0.0, 1.0, 12.0, 13.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 7.0, 11.0, 16.0, 13.0, 8.0, 0.0, 0.0, 8.0, 16.0, 16.0, 16.0, 16.0, 6.0, 0.0, 0.0, 2.0, 10.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 10.0, 15.0, 2.0, 0.0, 0.0, 0.0], [0.0, 0.0, 4.0, 14.0, 15.0, 6.0, 0.0, 0.0, 0.0, 5.0, 16.0, 16.0, 16.0, 16.0, 0.0, 0.0, 0.0, 5.0, 16.0, 16.0, 16.0, 16.0, 3.0, 0.0, 0.0, 0.0, 2.0, 8.0, 13.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 8.0, 0.0, 0.0, 0.0, 1.0, 6.0, 13.0, 16.0, 6.0, 0.0, 0.0, 0.0, 4.0, 13.0, 15.0, 9.0, 0.0, 0.0], [0.0, 0.0, 10.0, 16.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0, 16.0, 12.0, 5.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 9.0, 4.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 16.0, 16.0, 14.0, 2.0, 0.0, 0.0, 1.0, 10.0, 4.0, 1.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 16.0, 7.0, 0.0, 0.0, 0.0, 7.0, 8.0, 14.0, 16.0, 3.0, 0.0, 0.0, 0.0, 6.0, 13.0, 10.0, 4.0, 0.0, 0.0], [0.0, 0.0, 0.0, 1.0, 12.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 11.0, 15.0, 2.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 6.0, 1.0, 2.0, 0.0, 0.0, 4.0, 16.0, 9.0, 1.0, 15.0, 9.0, 0.0, 0.0, 13.0, 15.0, 6.0, 10.0, 16.0, 6.0, 0.0, 0.0, 12.0, 16.0, 16.0, 16.0, 16.0, 1.0, 0.0, 0.0, 1.0, 7.0, 4.0, 14.0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 9.0, 0.0, 0.0], [0.0, 0.0, 8.0, 16.0, 3.0, 0.0, 1.0, 0.0, 0.0, 0.0, 16.0, 14.0, 5.0, 14.0, 12.0, 0.0, 0.0, 0.0, 8.0, 16.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 3.0, 16.0, 14.0, 1.0, 0.0, 0.0, 0.0, 0.0, 12.0, 16.0, 16.0, 2.0, 0.0, 0.0, 0.0, 0.0, 16.0, 11.0, 16.0, 4.0, 0.0, 0.0, 0.0, 3.0, 16.0, 16.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 10.0, 1.0, 0.0, 0.0], [0.0, 0.0, 5.0, 12.0, 8.0, 0.0, 1.0, 0.0, 0.0, 0.0, 11.0, 16.0, 5.0, 13.0, 6.0, 0.0, 0.0, 0.0, 2.0, 15.0, 16.0, 12.0, 1.0, 0.0, 0.0, 0.0, 0.0, 10.0, 16.0, 6.0, 0.0, 0.0, 0.0, 0.0, 1.0, 15.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 8.0, 16.0, 16.0, 11.0, 0.0, 0.0, 0.0, 0.0, 11.0, 16.0, 16.0, 9.0, 0.0, 0.0, 0.0, 0.0, 6.0, 12.0, 12.0, 3.0, 0.0, 0.0], [0.0, 0.0, 0.0, 3.0, 15.0, 4.0, 0.0, 0.0, 0.0, 0.0, 4.0, 16.0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 12.0, 15.0, 3.0, 4.0, 3.0, 0.0, 0.0, 7.0, 16.0, 5.0, 3.0, 15.0, 8.0, 0.0, 0.0, 13.0, 16.0, 13.0, 15.0, 16.0, 2.0, 0.0, 0.0, 12.0, 16.0, 16.0, 16.0, 13.0, 0.0, 0.0, 0.0, 0.0, 4.0, 5.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 16.0, 4.0, 0.0, 0.0], [0.0, 0.0, 4.0, 10.0, 13.0, 6.0, 0.0, 0.0, 0.0, 1.0, 16.0, 14.0, 12.0, 16.0, 3.0, 0.0, 0.0, 4.0, 16.0, 6.0, 3.0, 16.0, 4.0, 0.0, 0.0, 0.0, 12.0, 16.0, 16.0, 16.0, 5.0, 0.0, 0.0, 0.0, 0.0, 4.0, 4.0, 16.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.0, 5.0, 0.0, 0.0, 0.0, 5.0, 7.0, 7.0, 16.0, 4.0, 0.0, 0.0, 0.0, 2.0, 14.0, 15.0, 9.0, 0.0, 0.0], [0.0, 0.0, 6.0, 16.0, 13.0, 11.0, 1.0, 0.0, 0.0, 0.0, 16.0, 15.0, 12.0, 16.0, 1.0, 0.0, 0.0, 3.0, 16.0, 7.0, 0.0, 13.0, 6.0, 0.0, 0.0, 4.0, 16.0, 0.0, 0.0, 10.0, 8.0, 0.0, 0.0, 8.0, 16.0, 0.0, 0.0, 14.0, 6.0, 0.0, 0.0, 5.0, 16.0, 7.0, 9.0, 16.0, 5.0, 0.0, 0.0, 1.0, 15.0, 16.0, 16.0, 16.0, 1.0, 0.0, 0.0, 0.0, 6.0, 16.0, 14.0, 6.0, 0.0, 0.0], [0.0, 0.0, 1.0, 11.0, 15.0, 1.0, 0.0, 0.0, 0.0, 0.0, 13.0, 16.0, 8.0, 2.0, 1.0, 0.0, 0.0, 0.0, 16.0, 15.0, 10.0, 16.0, 5.0, 0.0, 0.0, 0.0, 8.0, 16.0, 16.0, 7.0, 0.0, 0.0, 0.0, 0.0, 9.0, 16.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 16.0, 14.0, 16.0, 15.0, 0.0, 0.0, 0.0, 0.0, 15.0, 15.0, 15.0, 16.0, 0.0, 0.0, 0.0, 0.0, 2.0, 9.0, 13.0, 6.0, 0.0, 0.0], [0.0, 0.0, 2.0, 10.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 14.0, 16.0, 16.0, 15.0, 1.0, 0.0, 0.0, 4.0, 16.0, 7.0, 3.0, 16.0, 7.0, 0.0, 0.0, 5.0, 16.0, 10.0, 7.0, 16.0, 4.0, 0.0, 0.0, 0.0, 5.0, 14.0, 14.0, 16.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 16.0, 2.0, 0.0, 0.0, 0.0, 4.0, 7.0, 7.0, 16.0, 2.0, 0.0, 0.0, 0.0, 5.0, 12.0, 16.0, 12.0, 0.0, 0.0], [0.0, 0.0, 10.0, 14.0, 8.0, 1.0, 0.0, 0.0, 0.0, 2.0, 16.0, 14.0, 6.0, 1.0, 0.0, 0.0, 0.0, 0.0, 15.0, 15.0, 8.0, 15.0, 0.0, 0.0, 0.0, 0.0, 5.0, 16.0, 16.0, 10.0, 0.0, 0.0, 0.0, 0.0, 12.0, 15.0, 15.0, 12.0, 0.0, 0.0, 0.0, 4.0, 16.0, 6.0, 4.0, 16.0, 6.0, 0.0, 0.0, 8.0, 16.0, 10.0, 8.0, 16.0, 8.0, 0.0, 0.0, 1.0, 8.0, 12.0, 14.0, 12.0, 1.0, 0.0]], target: [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 0, 9, 5, 5, 6, 5, 0, 9, 8, 9, 8, 4, 1, 7, 7, 3, 5, 1, 0, 0, 2, 2, 7, 8, 2, 0, 1, 2, 6, 3, 3, 7, 3, 3, 4, 6, 6, 6, 4, 9, 1, 5, 0, 9, 5, 2, 8, 2, 0, 0, 1, 7, 6, 3, 2, 1, 7, 4, 6, 3, 1, 3, 9, 1, 7, 6, 8, 4, 3, 1, 4, 0, 5, 3, 6, 9, 6, 1, 7, 5, 4, 4, 7, 2, 8, 2, 2, 5, 7, 9, 5, 4, 8, 8, 4, 9, 0, 8, 9, 8, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 0, 9, 5, 5, 6, 5, 0, 9, 8, 9, 8, 4, 1, 7, 7, 3, 5, 1, 0, 0, 2, 2, 7, 8, 2, 0, 1, 2, 6, 3, 3, 7, 3, 3, 4, 6, 6, 6, 4, 9, 1, 5, 0, 9, 5, 2, 8, 2, 0, 0, 1, 7, 6, 3, 2, 1, 7, 3, 1, 3, 9, 1, 7, 6, 8, 4, 3, 1, 4, 0, 5, 3, 6, 9, 6, 1, 7, 5, 4, 4, 7, 2, 8, 2, 2, 5, 5, 4, 8, 8, 4, 9, 0, 8, 9, 8, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 0, 9, 5, 5, 6, 5, 0, 9, 8, 9, 8, 4, 1, 7, 7, 3, 5, 1, 0, 0, 2, 2, 7, 8, 2, 0, 1, 2, 6, 3, 3, 7, 3, 3, 4, 6, 6, 6, 4, 9, 1, 5, 0, 9, 5, 2, 8, 2, 0, 0, 1, 7, 6, 3, 2, 1, 7, 4, 6, 3, 1, 3, 9, 1, 7, 6, 8, 4, 3, 1, 4, 0, 5, 3, 6, 9, 6, 1, 7, 5, 4, 4, 7, 2, 8, 2, 2, 5, 7, 9, 5, 4, 8, 8, 4, 9, 0, 8, 9, 3, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 0, 9, 5, 5, 6, 5, 0, 9, 8, 9, 8, 4, 1, 7, 7, 3, 5, 1, 0, 0, 2, 2, 7, 8, 2, 0, 1, 2, 6, 3, 3, 7, 3, 3, 4, 6, 6, 6, 4, 9, 1, 5, 0, 9, 5, 2, 8, 2, 0, 0, 1, 7, 6, 3, 2, 1, 7, 4, 6, 3, 1, 3, 9, 1, 7, 6, 8, 4, 3, 1, 4, 0, 5, 3, 6, 9, 6, 1, 7, 5, 4, 4, 7, 2, 8, 2, 2, 5, 7, 9, 5, 4, 8, 8, 4, 9, 0, 8, 9, 8, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 0, 9, 5, 5, 6, 5, 0, 9, 8, 9, 8, 4, 1, 7, 7, 3, 5, 1, 0, 0, 2, 2, 7, 8, 2, 0, 1, 2, 6, 3, 3, 7, 3, 3, 4, 6, 6, 6, 4, 9, 1, 5, 0, 9, 5, 2, 8, 2, 0, 0, 1, 7, 6, 3, 2, 1, 7, 4, 6, 3, 1, 3, 9, 1, 7, 6, 8, 4, 3, 1, 4, 0, 5, 3, 6, 9, 6, 1, 7, 5, 4, 4, 7, 2, 8, 2, 2, 5, 7, 9, 5, 4, 8, 8, 4, 9, 0, 8, 9, 8, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 0, 9, 5, 5, 6, 5, 0, 9, 8, 9, 8, 4, 1, 7, 7, 3, 5, 1, 0, 0, 2, 2, 7, 8, 2, 0, 1, 2, 6, 3, 3, 7, 3, 3, 4, 6, 6, 6, 4, 9, 1, 5, 0, 9, 5, 2, 8, 2, 0, 0, 1, 7, 6, 3, 2, 1, 7, 4, 6, 3, 1, 3, 9, 1, 7, 6, 8, 4, 3, 1, 4, 0, 5, 3, 6, 9, 6, 1, 7, 5, 4, 4, 7, 2, 8, 2, 2, 5, 7, 9, 5, 4, 8, 8, 4, 9, 0, 8, 9, 8, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 0, 9, 5, 5, 6, 5, 0, 9, 8, 9, 8, 4, 1, 7, 7, 3, 5, 1, 0, 0, 2, 2, 7, 8, 2, 0, 1, 2, 6, 3, 3, 7, 3, 3, 4, 6, 6, 6, 4, 9, 1, 5, 0, 9, 5, 2, 8, 2, 0, 0, 1, 7, 6, 3, 2, 1, 7, 4, 6, 3, 1, 3, 9, 1, 7, 6, 8, 4, 3, 1, 4, 0, 5, 3, 6, 9, 6, 1, 7, 5, 4, 4, 7, 2, 8, 2, 2, 5, 7, 9, 5, 4, 8, 8, 4, 9, 0, 8, 9, 8, 1, 2, 3, 4, 5, 6, 7, 8, 9, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 0, 9, 5, 5, 6, 5, 0, 9, 8, 9, 8, 4, 1, 7, 7, 3, 5, 1, 2, 7, 8, 2, 0, 1, 2, 6, 3, 3, 7, 3, 3, 4, 6, 6, 6, 4, 9, 1, 5, 0, 9, 5, 2, 8, 2, 0, 0, 1, 7, 6, 3, 2, 1, 4, 6, 3, 1, 3, 9, 1, 7, 6, 8, 4, 3, 1, 4, 0, 5, 3, 6, 9, 6, 1, 7, 5, 4, 4, 7, 2, 8, 2, 2, 5, 7, 9, 5, 4, 4, 9, 0, 8, 9, 8, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 0, 9, 5, 5, 6, 5, 0, 9, 8, 9, 8, 4, 1, 7, 7, 3, 5, 1, 0, 0, 7, 8, 2, 0, 1, 2, 6, 3, 3, 7, 3, 3, 4, 6, 6, 6, 4, 9, 1, 5, 0, 9, 5, 2, 8, 2, 0, 0, 1, 7, 6, 3, 2, 1, 7, 4, 6, 3, 1, 3, 9, 1, 7, 6, 8, 4, 3, 1, 4, 0, 5, 3, 6, 9, 6, 1, 7, 5, 4, 4, 7, 2, 8, 2, 2, 5, 7, 9, 5, 4, 8, 8, 4, 9, 0, 8, 9, 8, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 0, 9, 5, 5, 6, 5, 0, 9, 8, 9, 8, 4, 1, 7, 7, 3, 5, 1, 0, 0, 2, 2, 7, 8, 2, 0, 1, 2, 6, 3, 3, 7, 3, 3, 4, 6, 6, 6, 4, 9, 1, 5, 0, 9, 5, 2, 8, 2, 0, 0, 1, 7, 6, 3, 2, 1, 7, 4, 6, 3, 1, 3, 9, 1, 7, 6, 8, 4, 3, 1, 4, 0, 5, 3, 6, 9, 6, 1, 7, 5, 4, 4, 7, 2, 8, 2, 2, 5, 7, 9, 5, 4, 8, 8, 4, 9, 0, 8, 9, 8, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 0, 9, 5, 5, 6, 5, 0, 9, 8, 9, 8, 4, 1, 7, 7, 3, 5, 1, 0, 0, 2, 2, 7, 8, 2, 0, 1, 2, 6, 3, 3, 7, 3, 3, 4, 6, 6, 6, 4, 9, 1, 5, 0, 9, 5, 2, 8, 2, 0, 0, 1, 7, 6, 3, 2, 1, 7, 4, 6, 3, 1, 3, 9, 1, 7, 6, 8, 4, 3, 1, 4, 0, 5, 3, 6, 9, 6, 1, 7, 5, 4, 4, 7, 2, 8, 2, 2, 5, 7, 9, 5, 4, 8, 8, 4, 9, 0, 8, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 0, 9, 5, 5, 6, 5, 0, 9, 8, 9, 8, 4, 1, 7, 7, 3, 5, 1, 0, 0, 2, 2, 7, 8, 2, 0, 1, 2, 6, 3, 3, 7, 3, 3, 4, 6, 6, 6, 4, 9, 1, 5, 0, 9, 5, 2, 8, 2, 0, 0, 1, 7, 6, 3, 2, 1, 7, 4, 6, 3, 1, 3, 9, 1, 7, 6, 8, 4, 3, 1, 4, 0, 5, 3, 6, 9, 6, 1, 7, 5, 4, 4, 7, 2, 8, 2, 2, 5, 7, 9, 5, 4, 8, 8, 4, 9, 0, 8, 9, 8, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 0, 1, 2, 3, 4, 5, 6, 9, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 0, 9, 5, 5, 6, 5, 0, 9, 8, 9, 8, 4, 1, 7, 7, 3, 5, 1, 0, 0, 2, 2, 7, 8, 2, 0, 1, 2, 6, 3, 3, 7, 3, 3, 4, 6, 6, 6, 4, 9, 1, 5, 0, 9, 5, 2, 8, 0, 1, 7, 6, 3, 2, 1, 7, 4, 6, 3, 1, 3, 9, 1, 7, 6, 8, 4, 3, 1, 4, 0, 5, 3, 6, 9, 6, 1, 7, 5, 4, 4, 7, 2, 2, 5, 7, 9, 5, 4, 4, 9, 0, 8, 9, 8, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 0, 9, 5, 5, 6, 5, 0, 9, 8, 9, 8, 4, 1, 7, 7, 3, 5, 1, 0, 0, 2, 2, 7, 8, 2, 0, 1, 2, 6, 3, 3, 7, 3, 3, 4, 6, 6, 6, 4, 9, 1, 5, 0, 9, 5, 2, 8, 2, 0, 0, 1, 7, 6, 3, 2, 1, 7, 4, 6, 3, 1, 3, 9, 1, 7, 6, 8, 4, 3, 1, 4, 0, 5, 3, 6, 9, 6, 1, 7, 5, 4, 4, 7, 2, 8, 2, 2, 5, 7, 9, 5, 4, 8, 8, 4, 9, 0, 8, 9, 8]};\n"
  },
  {
    "path": "ml/t-sne/src/index.js",
    "content": "/**\n * t-SNE module usage, sample code\n */\n\nimport tSNE from './tsne';\nimport { digits } from './digits_data';\n\nconst params = {perplexity:30, eta: 100, alpha: 0.5};\nconst tsne = new tSNE(digits.data, params);\nconst maxIter = 100;\n/*\ntsne.compute(iter).then(result => {\n    //console.log(result);\n    console.log(result);\n});*/\n\nconst it = tsne.iterator(maxIter);\nlet step = it.next();\nwhile(!step.done) {\n    //console.log(step.value);\n    step = it.next();\n}\n//const result = await tsne.compute(iter);\n"
  },
  {
    "path": "ml/t-sne/src/tsne.js",
    "content": "\n/**\n * t-SNE Module\n * @author https://github.com/wellflat\n */\nimport { clone } from './utils';\n\nexport default class tSNE {\n\n    /**\n     * @param {number[][]|Float64Array[]} data\n     * @param {{perplexity:number, eta:number, alpha:number}} params\n     */\n    constructor(data, params) {\n        /** @type {number[][]|Float64Array[]} input data */\n        this.data = data;\n        /** @type {number} output dimention */\n        this.dims = 2;\n        /** @type {{perplexity:number, eta:number, alpha:number}} */\n        this.params = params;\n        /** @type {Float64Array[]} output embedding */\n        this.Y = null;\n        this.init();\n        // internal debug\n        this.debug = true;\n    }\n\n    init() {\n        if (Array.isArray(this.data[0])) {\n            // convert typed array\n            const typed = this.data.map(e => new Float64Array(e));\n            this.data = typed;\n        }\n        // check parameters\n        ['perplexity', 'eta', 'alpha'].forEach(p => {\n            if(!(p in this.params)) {\n                throw new Error(`parameter '${p}' required`);\n            }\n        });\n    }\n\n    /**\n     * compute t-SNE projection\n     * @param {number} iter max iteration\n     * @return {Promise<Float64Array[]>}\n     */\n    async compute(iter) {\n        const P = this.computeP();\n        this.Y = this.sampleInitialSolution();\n        const step = new Float64Array(this.data.length*this.dims);\n        for(let t=0; t<iter; t++) {\n            const cost = this.stepGradient(P, step, t);\n            if(this.debug && t%10 === 0) {\n               console.log(`t=${t} : cost=${cost}`);\n            }\n        }\n        return this.Y;\n    }\n\n    /**\n     * t-SNE projection iterator version\n     * @param {number} iter max iteration\n     */\n    *iterator(iter) {\n        const P = this.computeP();\n        this.Y = this.sampleInitialSolution();\n        const step = new Float64Array(this.data.length*this.dims);\n        for(let t=0; t<iter; t++) {\n            const cost = this.stepGradient(P, step, t);\n            if(this.debug && t%10 === 0) {\n               console.log(`t=${t} : cost=${cost}`);\n            }\n            yield this.Y;\n        }\n    }\n\n    /**\n     * step down gradient\n     * @param {Float64Array} P\n     * @param {Float64Array} step\n     * @return {number} cost\n     */\n    stepGradient(P, step, t) {\n        const N = this.data.length;\n        const dims = this.dims;\n        const Y = this.Y;\n        const newY = clone(Y);\n        const [cost, grad] = this.calculateCostGrad(Y, P, t);\n        const eta = this.params.eta;    // learning rate\n        let alpha = this.params.alpha;  // momentam\n        // step Y(t)\n        if (t >= 250) {\n            alpha = 0.8;\n        }\n        const meanY = new Float64Array(dims);\n        for (let i = 0; i < N; i++) {\n            for (let d = 0; d < dims; d++) {\n                const id = i * dims + d;\n                step[id] = alpha * step[id] - eta * grad[id];\n                newY[i][d] = Y[i][d] + step[id];\n                meanY[d] += newY[i][d];\n            }\n        }\n        this.Y = clone(newY);\n        for (let i = 0; i < N; i++) {\n            for (let d = 0; d < dims; d++) {\n                this.Y[i][d] -= meanY[d] / N;\n            }\n        }\n        return cost;\n    }\n\n    /**\n     * calculate cost and gradient using Kullback-Leibler Divergence (KLD)\n     * @param {Float64Array} Y\n     * @param {Float64Array} P\n     * @param {number} iter\n     * @return {[number, Float64Array]}\n     */\n    calculateCostGrad(Y, P, iter) {\n        // todo: early exaggeration\n        const N = Y.length;\n        const dims = this.dims;\n        const Q = this.computeQ(Y);\n        const grad = new Float64Array(N * dims);\n        const earlyExagValue = iter < 100 ? 4.0 : 1.0; //\n        // calculate KLD  Σ_iΣ_jp_ij*log(p_ij/q_ij)\n        let cost = 0.0;\n        const L2 = this.calculateL2Distance;\n        for (let i = 0; i < N; i++) {\n            for (let j = 0; j < N; j++) {\n                if (i !== j) {\n                    const pij = P[i*N + j];\n                    const qij = Q[i*N + j];\n                    cost += P[i * N + j] * Math.log(P[i * N + j] / Q[i * N + j]);\n                    let a = (P[i * N + j] - Q[i * N + j]) * (1.0 / (1.0 + L2(Y[i], Y[j])));\n                    //let earlyExag = 4.0 * (earlyExagValue*pij - qij*qij);\n                    for (let k = 0; k < dims; k++) {\n                        //grad[i * dims + k] += earlyExag * a * (Y[i][k] - Y[j][k]);\n                        grad[i * dims + k] += 4.0 * a * (Y[i][k] - Y[j][k]);\n                    }\n                }\n            }\n        }\n        return [cost, grad];\n    }\n\n    /**\n     * compute pairwise affinities p_(j|i) with perplexity\n     * set p_(ij) = p_(j|i) + p_(i|j) / 2n\n     * @return {Float64Array} P_(ij)\n     */\n    computeP() {\n        const N = this.data.length;\n        const perp = this.params.perplexity;\n        const P = new Float64Array(N * N);\n        const condP = new Float64Array(N * N);\n        const D = this.calculatePairwiseDistance(this.data);\n        const tol = 1e-3, maxIter = 100;\n\n        for (let i = 0; i < N; i++) {\n            // binary search to find sigma\n            let lb = Number.NEGATIVE_INFINITY;\n            let ub = Number.POSITIVE_INFINITY;\n            let sigma = 1.0;\n            let searching = true, n = 0;\n            while(searching) {\n                this.calculateProbs(D, sigma, i, condP);\n                let perpPi = this.calculateEntropy(condP, i);\n                if (perpPi < perp) {\n                    lb = sigma;\n                    sigma = ub === Number.POSITIVE_INFINITY ? sigma*2 : (sigma + ub) / 2;\n                } else {\n                    ub = sigma;\n                    sigma = lb === Number.NEGATIVE_INFINITY ? sigma/2 : (sigma + lb)/2;\n                }\n                if (Math.abs(perp - perpPi) < tol) {\n                    searching = false;\n                }\n                if (n++ > maxIter) {\n                    searching = false;\n                }\n            }\n            if(this.debug) {\n                console.log(`sigma ${i}: ${lb}`);\n            }\n        }\n\n        // p_(ij)\n        for(let i=0; i<N; i++) {\n            for(let j=0; j<N; j++) {\n                if(i!==j) {\n                    P[i*N + j] = (condP[i*N + j] + condP[j*N + i])/(2*N);\n                }\n            }\n        }\n        return P;\n    }\n\n    /**\n     * calculate entropy: H(Pi) = Σ-p_(j|i)log(p_(j|i))\n     * @param {Float64Array} probs probability\n     * @param {number} i index of sample\n     * @return {number} Perp(Pi) = 2^H(Pi)\n     */\n    calculateEntropy(probs, i) {\n        const N = this.data.length;\n        let Hpi = 0.0;\n        for (let j = 0; j < N; j++) {\n            if (i !== j) {\n                const p = probs[j*N+i];\n                Hpi -= p > 1e-7 ? p * Math.log(p) : 0;\n            }\n        }\n        return 2**Hpi; //Math.pow(2.0, Hpi);  // Perp(Pi) = 2^H(Pi)\n    }\n\n    /**\n     * calculate gaussian probability\n     * @param {Float64Array} D pairwise distances\n     * @param {number} sigma sigma\n     * @param {number} i index of sample\n     * @param {Float64Array} P output array\n     */\n    calculateProbs(D, sigma, i, P) {\n        const N = this.data.length;\n        let sum = 0.0;\n        for (let j = 0; j < N; j++) {\n            if (i === j) {\n                P[j * N + i] = 0.0;\n            } else {\n                const pj = Math.exp(-D[i * N + j] / (2.0 * sigma));\n                P[j * N + i] = pj;\n                sum += pj;\n            }\n        }\n        for (let j = 0; j < N; j++) {\n            P[j * N + i] /= sum;\n        }\n    }\n\n    /**\n     * compute low-dimensional affinities q_(ij)\n     * @param {Float64Array[]} Y\n     * @return {Float64Array}\n     */\n    computeQ(Y) {\n        const N = Y.length;\n        const Q = new Float64Array(N*N);\n        let sum = 0.0;\n        const L2 = this.calculateL2Distance;\n        for (let k = 0; k < N; k++) {\n            for (let l = 0; l < N; l++) {\n                if (k !== l) {\n                    sum += 1.0 / (1.0 + L2(Y[k], Y[l]));\n                }\n            }\n        }\n        for (let i = 0; i < N; i++) {\n            for (let j = 0; j < N; j++) {\n                if (i !== j) {\n                    // Student t-distribution\n                    Q[i * N + j] = 1.0 / (1.0 + L2(Y[i], Y[j]));\n                    Q[i * N + j] /= sum;\n                }\n            }\n        }\n        return Q;\n    }\n\n    /**\n     * sample initial solution Y(0)\n     * @return {Float64Array[]}\n     */\n    sampleInitialSolution() {\n        const N = this.data.length;\n        const dims = this.dims;\n        const Y = [];\n        for(let i=0; i<N; i++) {\n            const yrow = new Float64Array(dims);\n            const rand = this.generateRandom(dims, 0.0, 1e-3);\n            for(let j=0; j<dims; j++) {\n                yrow[j] = rand[j];\n            }\n            Y[i] = yrow;\n        }\n        return Y;\n    }\n\n    /**\n     * generate normally distributed random number array using Marsaglia polar method\n     * @param {number} n\n     * @param {number} mu\n     * @param {number} std\n     * @return {Float64Array}\n    */\n    generateRandom(n, mu, std) {\n        if (n % 2 != 0) {\n            throw new TypeError(\"n must be even number\");\n        }\n        const data = new Float64Array(n);\n        for (let i = 0; i < n; i += 2) {\n            let u, v, r;\n            do {\n                u = 2 * Math.random() - 1;\n                v = 2 * Math.random() - 1;\n                r = u * u + v * v;\n            } while (r === 0 || r >= 1);\n            const mul = Math.sqrt(-2 * Math.log(r) / r);\n            data[i] = mu + (mul * u) * std;\n            data[i + 1] = mu + (mul * v) * std;\n        }\n        return data;\n    }\n\n    /**\n     * calculate L2 distance\n     * @param {Float64Array} x1 \n     * @param {Float64Array} x2 \n     * @return {number}\n     */\n    calculateL2Distance(x1, x2) {\n        let distance = 0;\n        for (let i = 0; i < x1.length; i++) {\n            distance += (x1[i] - x2[i]) * (x1[i] - x2[i]);\n        }\n        return distance;\n    }\n\n    /**\n     * calculate pairwise distance\n     * @param {Float64Array[]} X\n     * @return {Float64Array}\n     */\n    calculatePairwiseDistance(X) {\n        const N = X.length;\n        let distance = new Float64Array(N * N);\n        for (let i = 0; i < N; i++) {\n            for (let j = i + 1; j < N; j++) {\n                const l2 = this.calculateL2Distance(X[i], X[j]);\n                distance[i * N + j] = l2;\n                distance[j * N + i] = l2;\n            }\n        }\n        return distance;\n    }\n}"
  },
  {
    "path": "ml/t-sne/src/utils.js",
    "content": "\nimport { promises as fs } from 'fs';\n\n/**\n * clone 2d-typed array\n * @param {Float64Array[]} src\n * @return {Float64Array[]}\n */\nexport function clone(src) {\n    const arr = [];\n    const N = src.length;\n    const dims = src[0].length;\n    for (let i = 0; i < N; i++) {\n        for (let j = 0; j < dims; j++) {\n            arr[i] = src[i].slice();\n        }\n    }\n    return arr;\n}\n\n/**\n * write down result\n * @param {string} fileName \n * @param {Float64Array[]} result \n */\nexport async function writeResult(fileName, result) {\n    const N = result.length;\n    const dims = result[0].length;\n    let str = '';\n    for(let i=0; i<N; i++) {\n        for(let d=0; d<dims; d++) {\n            str += result[i][d] + '\\t';\n        }\n        str += '\\n';\n    }\n    await fs.appendFile(fileName, str);\n}"
  },
  {
    "path": "ml/utils/data_utils.ts",
    "content": "function splitData(data: [number[][], number[]], testSize: number = 0.2): [number[][], number[]] {\n    var trainData: number[][] = [],\n        testData: number[] = [],\n        n: number = data[1].length;\n    if (data[0].length != data[1].length) {\n        console.log(data[0].length, data[1].length);\n        throw new Error(\"invalid data shape\");\n    }\n    // todo: implement\n    return [trainData, testData];\n}\n\nfunction createSample(d: number, n: number): number[][] {\n    var data: number[][] = [];\n    for (var i = 0; i < n; i++) {\n        data[i] = [];\n        for (var j = 0; j < d; j++) {\n            data[i][j] = Math.floor(randn());\n        }\n    }\n    return data;\n}\n\nfunction createLabel(d: number, c: number, n: number): number[][] {\n    var data: number[][] = [];\n    for (var i = 0; i < n; i++) {\n        data[i] = [];\n        for (var j = 0; j < d; j++) {\n            data[i][j] = 0;\n            if (j == (c - 1)) {\n                data[i][j] = 1;\n            }\n        }\n    }\n    return data;\n}\n\n// Box-Muller transform\nfunction randn(m = 0.0, v = 1.0): number {\n    var a = 1 - Math.random(),\n        b = 1 - Math.random(),\n        c = Math.sqrt(-2 * Math.log(a));\n    if (0.5 - Math.random() > 0) {\n        return c * Math.sin(Math.PI * 2 * b) * v + m;\n    } else {\n        return c * Math.cos(Math.PI * 2 * b) * v + m;\n    }\n}\n    "
  },
  {
    "path": "ml/utils/metrics.ts",
    "content": "module ml {\n    /**\n     * Classification metrics functions\n     */\n    export class Metrics {\n        static accuracy(label: Matrix, pred: Matrix): number {\n            var labelData: number[][] = label.elements,\n                predData: number[][] = pred.elements,\n                tpfp: number = 0;\n            if (label.rows != pred.rows || label.cols != pred.cols) {\n                throw new Error(\"invalid data shape\");\n            }\n            for (var i = 0; i < label.rows; i++) {\n                if (this.argmax(labelData[i]) == this.argmax(predData[i])) {\n                    tpfp++;\n                }\n            }\n            return tpfp/label.rows;\n        }\n        \n        static precision(label: Matrix, pred: Matrix): number {\n            // 2-class precision\n            var labelData: number[][] = label.elements,\n                predData: number[][] = pred.elements,\n                tp: number = 0,\n                fp: number = 0;\n            if (label.rows != pred.rows || label.cols != pred.cols) {\n                throw new Error(\"invalid data shape\");\n            }\n            for (var i = 0; i < label.rows; i++) {\n                if (this.argmax(predData[i]) == 0) {\n                    if (this.argmax(labelData[i]) == 0) {\n                        tp++;\n                    } else {\n                        fp++;\n                    }\n                }\n                \n            }\n            return tp/(tp + fp);\n        }\n        \n        static recall(label: Matrix, pred: Matrix): number {\n            // 2-class recall\n            var labelData: number[][] = label.elements,\n                predData: number[][] = pred.elements,\n                tp: number = 0,\n                fn: number = 0;\n            if (label.rows != pred.rows || label.cols != pred.cols) {\n                throw new Error(\"invalid data shape\");\n            }\n            for (var i = 0; i < label.rows; i++) {\n                if (this.argmax(predData[i]) == 0) {\n                    if (this.argmax(labelData[i]) == 0) {\n                        tp++;\n                    }\n                } else {\n                    if (this.argmax(labelData[i]) == 0) {\n                        fn++;\n                    }\n                }\n            }\n            return tp / (tp + fn);\n        }\n        \n        static f1score(label: Matrix, pred: Matrix): number {\n            var precision: number = this.precision(label, pred),\n                recall: number = this.recall(label, pred);\n            return 2 * precision * recall / (precision + recall);\n        }\n        \n        static confusionmatrix(label: Matrix, pred: Matrix): number[][] {\n            // todo implement\n            var cm: number[][] = [];\n            return cm;\n        }\n        \n        static argmax(arr: number[]): number {\n            var max: number = -Infinity,\n                index: number = void(0);\n            for (var i = 0; i < arr.length; i++) {\n                if (arr[i] >= max) {\n                    max = arr[i];\n                    index = i;\n                }\n            }\n            return index;\n        } \n    }\n}"
  },
  {
    "path": "ml/utils/preprocessing.ts",
    "content": "﻿module ml {\n    /**\n     * Data preprocessing class\n     */\n    export class Preprocessing {\n\n        // standardize data\n        static scale(data: number[][]): Matrix {\n            var rows: number = data.length,\n                cols: number = data[0].length,\n                mean: number[] = []; // dim == cols\n            /*\n            for(var i = 0; i < rows; i++) {\n                var v: Vector = m.row(i + 1);\n                var sub: Vector = v.subtract(mean);\n                console.log(sub.toString());\n            }*/\n            return new ml.Matrix([[]]);\n        }\n        \n        // binalize labels in a one-vs-all fashion\n        static binalizeLabel(labels: number[]): number[][] {\n            var max: number = Math.max.apply(null, labels),\n                len: number = labels.length,\n                data: number[][] = [];\n            for(var i = 0; i < len; i++) {\n                var label = [];\n                for(var j = 0; j <= max; j++) {\n                    labels[i] == j ? label[j] = 1 : label[j] = 0;\n                }\n                data[i] = label;\n            }\n            return data;\n        }\n        \n        // split metrices into random train and test subsets\n        static splitData(data: [number[][], number[]],\n            trainSize: number = 0.75, testSize: number = 0.25):\n            [[number[][], number[]], [number[][], number[]]] {\n            var eps: number = 2.2204460492503130808472633361816E-16;\n            if(1.0 - trainSize + testSize > eps) {\n                throw new Error(\"invalid arguments: trainSize or testSize\");\n            }\n            var trainData: number[][] = [],\n                trainLabel: number[] = [],\n                testData: number[][] = [],\n                testLabel: number[] = [],\n                n: number = data[1].length;\n            if (data[0].length != n) {\n                console.log(data[0].length, n);\n                throw new Error(\"invalid data shape\");\n            }\n            // todo: implement\n            return [[trainData, trainLabel], [testData, testLabel]];\n        }\n    }\n} "
  }
]