figure4-3.ipynb

{
 "metadata": {
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.6.9-final"
  },
  "orig_nbformat": 2,
  "kernelspec": {
   "name": "Python 3.6.9 64-bit",
   "display_name": "Python 3.6.9 64-bit",
   "metadata": {
    "interpreter": {
     "hash": "31f2aee4e71d21fbe5cf8b01ff0e069b9275f58929596ceb00d14d90e3e16cd6"
    }
   }
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2,
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "output_type": "display_data",
     "data": {
      "text/plain": "<Figure size 432x288 with 1 Axes>",
      "image/svg+xml": "<?xml version=\"1.0\" encoding=\"utf-8\" standalone=\"no\"?>\n<!DOCTYPE svg PUBLIC \"-//W3C//DTD SVG 1.1//EN\"\n  \"http://www.w3.org/Graphics/SVG/1.1/DTD/svg11.dtd\">\n<!-- Created with matplotlib (https://matplotlib.org/) -->\n<svg height=\"258.69625pt\" version=\"1.1\" viewBox=\"0 0 391.828125 258.69625\" width=\"391.828125pt\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\">\n <defs>\n  <style type=\"text/css\">\n*{stroke-linecap:butt;stroke-linejoin:round;}\n  </style>\n </defs>\n <g id=\"figure_1\">\n  <g id=\"patch_1\">\n   <path d=\"M 0 258.69625 \nL 391.828125 258.69625 \nL 391.828125 0 \nL 0 0 \nz\n\" style=\"fill:#ffffff;\"/>\n  </g>\n  <g id=\"axes_1\">\n   <g id=\"patch_2\">\n    <path d=\"M 49.828125 224.64 \nL 384.628125 224.64 \nL 384.628125 7.2 \nL 49.828125 7.2 \nz\n\" style=\"fill:#dddddd;\"/>\n   </g>\n   <g id=\"matplotlib.axis_1\">\n    <g id=\"xtick_1\">\n     <g id=\"line2d_1\">\n      <path clip-path=\"url(#pc38d6b500f)\" d=\"M 65.046307 224.64 \nL 65.046307 7.2 \n\" style=\"fill:none;stroke:#ffffff;stroke-linecap:square;stroke-width:2;\"/>\n     </g>\n     <g id=\"line2d_2\"/>\n     <g id=\"text_1\">\n      <!-- 0 -->\n      <defs>\n       <path d=\"M 31.78125 66.40625 \nQ 24.171875 66.40625 20.328125 58.90625 \nQ 16.5 51.421875 16.5 36.375 \nQ 16.5 21.390625 20.328125 13.890625 \nQ 24.171875 6.390625 31.78125 6.390625 \nQ 39.453125 6.390625 43.28125 13.890625 \nQ 47.125 21.390625 47.125 36.375 \nQ 47.125 51.421875 43.28125 58.90625 \nQ 39.453125 66.40625 31.78125 66.40625 \nz\nM 31.78125 74.21875 \nQ 44.046875 74.21875 50.515625 64.515625 \nQ 56.984375 54.828125 56.984375 36.375 \nQ 56.984375 17.96875 50.515625 8.265625 \nQ 44.046875 -1.421875 31.78125 -1.421875 \nQ 19.53125 -1.421875 13.0625 8.265625 \nQ 6.59375 17.96875 6.59375 36.375 \nQ 6.59375 54.828125 13.0625 64.515625 \nQ 19.53125 74.21875 31.78125 74.21875 \nz\n\" id=\"DejaVuSans-48\"/>\n      </defs>\n      <g transform=\"translate(61.865057 235.738437)scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-48\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_2\">\n     <g id=\"line2d_3\">\n      <path clip-path=\"url(#pc38d6b500f)\" d=\"M 125.919034 224.64 \nL 125.919034 7.2 \n\" style=\"fill:none;stroke:#ffffff;stroke-linecap:square;stroke-width:2;\"/>\n     </g>\n     <g id=\"line2d_4\"/>\n     <g id=\"text_2\">\n      <!-- 20 -->\n      <defs>\n       <path d=\"M 19.1875 8.296875 \nL 53.609375 8.296875 \nL 53.609375 0 \nL 7.328125 0 \nL 7.328125 8.296875 \nQ 12.9375 14.109375 22.625 23.890625 \nQ 32.328125 33.6875 34.8125 36.53125 \nQ 39.546875 41.84375 41.421875 45.53125 \nQ 43.3125 49.21875 43.3125 52.78125 \nQ 43.3125 58.59375 39.234375 62.25 \nQ 35.15625 65.921875 28.609375 65.921875 \nQ 23.96875 65.921875 18.8125 64.3125 \nQ 13.671875 62.703125 7.8125 59.421875 \nL 7.8125 69.390625 \nQ 13.765625 71.78125 18.9375 73 \nQ 24.125 74.21875 28.421875 74.21875 \nQ 39.75 74.21875 46.484375 68.546875 \nQ 53.21875 62.890625 53.21875 53.421875 \nQ 53.21875 48.921875 51.53125 44.890625 \nQ 49.859375 40.875 45.40625 35.40625 \nQ 44.1875 33.984375 37.640625 27.21875 \nQ 31.109375 20.453125 19.1875 8.296875 \nz\n\" id=\"DejaVuSans-50\"/>\n      </defs>\n      <g transform=\"translate(119.556534 235.738437)scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-50\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-48\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_3\">\n     <g id=\"line2d_5\">\n      <path clip-path=\"url(#pc38d6b500f)\" d=\"M 186.791761 224.64 \nL 186.791761 7.2 \n\" style=\"fill:none;stroke:#ffffff;stroke-linecap:square;stroke-width:2;\"/>\n     </g>\n     <g id=\"line2d_6\"/>\n     <g id=\"text_3\">\n      <!-- 40 -->\n      <defs>\n       <path d=\"M 37.796875 64.3125 \nL 12.890625 25.390625 \nL 37.796875 25.390625 \nz\nM 35.203125 72.90625 \nL 47.609375 72.90625 \nL 47.609375 25.390625 \nL 58.015625 25.390625 \nL 58.015625 17.1875 \nL 47.609375 17.1875 \nL 47.609375 0 \nL 37.796875 0 \nL 37.796875 17.1875 \nL 4.890625 17.1875 \nL 4.890625 26.703125 \nz\n\" id=\"DejaVuSans-52\"/>\n      </defs>\n      <g transform=\"translate(180.429261 235.738437)scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-52\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-48\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_4\">\n     <g id=\"line2d_7\">\n      <path clip-path=\"url(#pc38d6b500f)\" d=\"M 247.664489 224.64 \nL 247.664489 7.2 \n\" style=\"fill:none;stroke:#ffffff;stroke-linecap:square;stroke-width:2;\"/>\n     </g>\n     <g id=\"line2d_8\"/>\n     <g id=\"text_4\">\n      <!-- 60 -->\n      <defs>\n       <path d=\"M 33.015625 40.375 \nQ 26.375 40.375 22.484375 35.828125 \nQ 18.609375 31.296875 18.609375 23.390625 \nQ 18.609375 15.53125 22.484375 10.953125 \nQ 26.375 6.390625 33.015625 6.390625 \nQ 39.65625 6.390625 43.53125 10.953125 \nQ 47.40625 15.53125 47.40625 23.390625 \nQ 47.40625 31.296875 43.53125 35.828125 \nQ 39.65625 40.375 33.015625 40.375 \nz\nM 52.59375 71.296875 \nL 52.59375 62.3125 \nQ 48.875 64.0625 45.09375 64.984375 \nQ 41.3125 65.921875 37.59375 65.921875 \nQ 27.828125 65.921875 22.671875 59.328125 \nQ 17.53125 52.734375 16.796875 39.40625 \nQ 19.671875 43.65625 24.015625 45.921875 \nQ 28.375 48.1875 33.59375 48.1875 \nQ 44.578125 48.1875 50.953125 41.515625 \nQ 57.328125 34.859375 57.328125 23.390625 \nQ 57.328125 12.15625 50.6875 5.359375 \nQ 44.046875 -1.421875 33.015625 -1.421875 \nQ 20.359375 -1.421875 13.671875 8.265625 \nQ 6.984375 17.96875 6.984375 36.375 \nQ 6.984375 53.65625 15.1875 63.9375 \nQ 23.390625 74.21875 37.203125 74.21875 \nQ 40.921875 74.21875 44.703125 73.484375 \nQ 48.484375 72.75 52.59375 71.296875 \nz\n\" id=\"DejaVuSans-54\"/>\n      </defs>\n      <g transform=\"translate(241.301989 235.738437)scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-54\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-48\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_5\">\n     <g id=\"line2d_9\">\n      <path clip-path=\"url(#pc38d6b500f)\" d=\"M 308.537216 224.64 \nL 308.537216 7.2 \n\" style=\"fill:none;stroke:#ffffff;stroke-linecap:square;stroke-width:2;\"/>\n     </g>\n     <g id=\"line2d_10\"/>\n     <g id=\"text_5\">\n      <!-- 80 -->\n      <defs>\n       <path d=\"M 31.78125 34.625 \nQ 24.75 34.625 20.71875 30.859375 \nQ 16.703125 27.09375 16.703125 20.515625 \nQ 16.703125 13.921875 20.71875 10.15625 \nQ 24.75 6.390625 31.78125 6.390625 \nQ 38.8125 6.390625 42.859375 10.171875 \nQ 46.921875 13.96875 46.921875 20.515625 \nQ 46.921875 27.09375 42.890625 30.859375 \nQ 38.875 34.625 31.78125 34.625 \nz\nM 21.921875 38.8125 \nQ 15.578125 40.375 12.03125 44.71875 \nQ 8.5 49.078125 8.5 55.328125 \nQ 8.5 64.0625 14.71875 69.140625 \nQ 20.953125 74.21875 31.78125 74.21875 \nQ 42.671875 74.21875 48.875 69.140625 \nQ 55.078125 64.0625 55.078125 55.328125 \nQ 55.078125 49.078125 51.53125 44.71875 \nQ 48 40.375 41.703125 38.8125 \nQ 48.828125 37.15625 52.796875 32.3125 \nQ 56.78125 27.484375 56.78125 20.515625 \nQ 56.78125 9.90625 50.3125 4.234375 \nQ 43.84375 -1.421875 31.78125 -1.421875 \nQ 19.734375 -1.421875 13.25 4.234375 \nQ 6.78125 9.90625 6.78125 20.515625 \nQ 6.78125 27.484375 10.78125 32.3125 \nQ 14.796875 37.15625 21.921875 38.8125 \nz\nM 18.3125 54.390625 \nQ 18.3125 48.734375 21.84375 45.5625 \nQ 25.390625 42.390625 31.78125 42.390625 \nQ 38.140625 42.390625 41.71875 45.5625 \nQ 45.3125 48.734375 45.3125 54.390625 \nQ 45.3125 60.0625 41.71875 63.234375 \nQ 38.140625 66.40625 31.78125 66.40625 \nQ 25.390625 66.40625 21.84375 63.234375 \nQ 18.3125 60.0625 18.3125 54.390625 \nz\n\" id=\"DejaVuSans-56\"/>\n      </defs>\n      <g transform=\"translate(302.174716 235.738437)scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-56\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-48\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_6\">\n     <g id=\"line2d_11\">\n      <path clip-path=\"url(#pc38d6b500f)\" d=\"M 369.409943 224.64 \nL 369.409943 7.2 \n\" style=\"fill:none;stroke:#ffffff;stroke-linecap:square;stroke-width:2;\"/>\n     </g>\n     <g id=\"line2d_12\"/>\n     <g id=\"text_6\">\n      <!-- 100 -->\n      <defs>\n       <path d=\"M 12.40625 8.296875 \nL 28.515625 8.296875 \nL 28.515625 63.921875 \nL 10.984375 60.40625 \nL 10.984375 69.390625 \nL 28.421875 72.90625 \nL 38.28125 72.90625 \nL 38.28125 8.296875 \nL 54.390625 8.296875 \nL 54.390625 0 \nL 12.40625 0 \nz\n\" id=\"DejaVuSans-49\"/>\n      </defs>\n      <g transform=\"translate(359.866193 235.738437)scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-49\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"127.246094\" xlink:href=\"#DejaVuSans-48\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"text_7\">\n     <!-- t (days) -->\n     <defs>\n      <path d=\"M 18.3125 70.21875 \nL 18.3125 54.6875 \nL 36.8125 54.6875 \nL 36.8125 47.703125 \nL 18.3125 47.703125 \nL 18.3125 18.015625 \nQ 18.3125 11.328125 20.140625 9.421875 \nQ 21.96875 7.515625 27.59375 7.515625 \nL 36.8125 7.515625 \nL 36.8125 0 \nL 27.59375 0 \nQ 17.1875 0 13.234375 3.875 \nQ 9.28125 7.765625 9.28125 18.015625 \nL 9.28125 47.703125 \nL 2.6875 47.703125 \nL 2.6875 54.6875 \nL 9.28125 54.6875 \nL 9.28125 70.21875 \nz\n\" id=\"DejaVuSans-116\"/>\n      <path id=\"DejaVuSans-32\"/>\n      <path d=\"M 31 75.875 \nQ 24.46875 64.65625 21.28125 53.65625 \nQ 18.109375 42.671875 18.109375 31.390625 \nQ 18.109375 20.125 21.3125 9.0625 \nQ 24.515625 -2 31 -13.1875 \nL 23.1875 -13.1875 \nQ 15.875 -1.703125 12.234375 9.375 \nQ 8.59375 20.453125 8.59375 31.390625 \nQ 8.59375 42.28125 12.203125 53.3125 \nQ 15.828125 64.359375 23.1875 75.875 \nz\n\" id=\"DejaVuSans-40\"/>\n      <path d=\"M 45.40625 46.390625 \nL 45.40625 75.984375 \nL 54.390625 75.984375 \nL 54.390625 0 \nL 45.40625 0 \nL 45.40625 8.203125 \nQ 42.578125 3.328125 38.25 0.953125 \nQ 33.9375 -1.421875 27.875 -1.421875 \nQ 17.96875 -1.421875 11.734375 6.484375 \nQ 5.515625 14.40625 5.515625 27.296875 \nQ 5.515625 40.1875 11.734375 48.09375 \nQ 17.96875 56 27.875 56 \nQ 33.9375 56 38.25 53.625 \nQ 42.578125 51.265625 45.40625 46.390625 \nz\nM 14.796875 27.296875 \nQ 14.796875 17.390625 18.875 11.75 \nQ 22.953125 6.109375 30.078125 6.109375 \nQ 37.203125 6.109375 41.296875 11.75 \nQ 45.40625 17.390625 45.40625 27.296875 \nQ 45.40625 37.203125 41.296875 42.84375 \nQ 37.203125 48.484375 30.078125 48.484375 \nQ 22.953125 48.484375 18.875 42.84375 \nQ 14.796875 37.203125 14.796875 27.296875 \nz\n\" id=\"DejaVuSans-100\"/>\n      <path d=\"M 34.28125 27.484375 \nQ 23.390625 27.484375 19.1875 25 \nQ 14.984375 22.515625 14.984375 16.5 \nQ 14.984375 11.71875 18.140625 8.90625 \nQ 21.296875 6.109375 26.703125 6.109375 \nQ 34.1875 6.109375 38.703125 11.40625 \nQ 43.21875 16.703125 43.21875 25.484375 \nL 43.21875 27.484375 \nz\nM 52.203125 31.203125 \nL 52.203125 0 \nL 43.21875 0 \nL 43.21875 8.296875 \nQ 40.140625 3.328125 35.546875 0.953125 \nQ 30.953125 -1.421875 24.3125 -1.421875 \nQ 15.921875 -1.421875 10.953125 3.296875 \nQ 6 8.015625 6 15.921875 \nQ 6 25.140625 12.171875 29.828125 \nQ 18.359375 34.515625 30.609375 34.515625 \nL 43.21875 34.515625 \nL 43.21875 35.40625 \nQ 43.21875 41.609375 39.140625 45 \nQ 35.0625 48.390625 27.6875 48.390625 \nQ 23 48.390625 18.546875 47.265625 \nQ 14.109375 46.140625 10.015625 43.890625 \nL 10.015625 52.203125 \nQ 14.9375 54.109375 19.578125 55.046875 \nQ 24.21875 56 28.609375 56 \nQ 40.484375 56 46.34375 49.84375 \nQ 52.203125 43.703125 52.203125 31.203125 \nz\n\" id=\"DejaVuSans-97\"/>\n      <path d=\"M 32.171875 -5.078125 \nQ 28.375 -14.84375 24.75 -17.8125 \nQ 21.140625 -20.796875 15.09375 -20.796875 \nL 7.90625 -20.796875 \nL 7.90625 -13.28125 \nL 13.1875 -13.28125 \nQ 16.890625 -13.28125 18.9375 -11.515625 \nQ 21 -9.765625 23.484375 -3.21875 \nL 25.09375 0.875 \nL 2.984375 54.6875 \nL 12.5 54.6875 \nL 29.59375 11.921875 \nL 46.6875 54.6875 \nL 56.203125 54.6875 \nz\n\" id=\"DejaVuSans-121\"/>\n      <path d=\"M 44.28125 53.078125 \nL 44.28125 44.578125 \nQ 40.484375 46.53125 36.375 47.5 \nQ 32.28125 48.484375 27.875 48.484375 \nQ 21.1875 48.484375 17.84375 46.4375 \nQ 14.5 44.390625 14.5 40.28125 \nQ 14.5 37.15625 16.890625 35.375 \nQ 19.28125 33.59375 26.515625 31.984375 \nL 29.59375 31.296875 \nQ 39.15625 29.25 43.1875 25.515625 \nQ 47.21875 21.78125 47.21875 15.09375 \nQ 47.21875 7.46875 41.1875 3.015625 \nQ 35.15625 -1.421875 24.609375 -1.421875 \nQ 20.21875 -1.421875 15.453125 -0.5625 \nQ 10.6875 0.296875 5.421875 2 \nL 5.421875 11.28125 \nQ 10.40625 8.6875 15.234375 7.390625 \nQ 20.0625 6.109375 24.8125 6.109375 \nQ 31.15625 6.109375 34.5625 8.28125 \nQ 37.984375 10.453125 37.984375 14.40625 \nQ 37.984375 18.0625 35.515625 20.015625 \nQ 33.0625 21.96875 24.703125 23.78125 \nL 21.578125 24.515625 \nQ 13.234375 26.265625 9.515625 29.90625 \nQ 5.8125 33.546875 5.8125 39.890625 \nQ 5.8125 47.609375 11.28125 51.796875 \nQ 16.75 56 26.8125 56 \nQ 31.78125 56 36.171875 55.265625 \nQ 40.578125 54.546875 44.28125 53.078125 \nz\n\" id=\"DejaVuSans-115\"/>\n      <path d=\"M 8.015625 75.875 \nL 15.828125 75.875 \nQ 23.140625 64.359375 26.78125 53.3125 \nQ 30.421875 42.28125 30.421875 31.390625 \nQ 30.421875 20.453125 26.78125 9.375 \nQ 23.140625 -1.703125 15.828125 -13.1875 \nL 8.015625 -13.1875 \nQ 14.5 -2 17.703125 9.0625 \nQ 20.90625 20.125 20.90625 31.390625 \nQ 20.90625 42.671875 17.703125 53.65625 \nQ 14.5 64.65625 8.015625 75.875 \nz\n\" id=\"DejaVuSans-41\"/>\n     </defs>\n     <g transform=\"translate(197.975 249.416562)scale(0.1 -0.1)\">\n      <use xlink:href=\"#DejaVuSans-116\"/>\n      <use x=\"39.208984\" xlink:href=\"#DejaVuSans-32\"/>\n      <use x=\"70.996094\" xlink:href=\"#DejaVuSans-40\"/>\n      <use x=\"110.009766\" xlink:href=\"#DejaVuSans-100\"/>\n      <use x=\"173.486328\" xlink:href=\"#DejaVuSans-97\"/>\n      <use x=\"234.765625\" xlink:href=\"#DejaVuSans-121\"/>\n      <use x=\"293.945312\" xlink:href=\"#DejaVuSans-115\"/>\n      <use x=\"346.044922\" xlink:href=\"#DejaVuSans-41\"/>\n     </g>\n    </g>\n   </g>\n   <g id=\"matplotlib.axis_2\">\n    <g id=\"ytick_1\">\n     <g id=\"line2d_13\">\n      <path clip-path=\"url(#pc38d6b500f)\" d=\"M 49.828125 224.64 \nL 384.628125 224.64 \n\" style=\"fill:none;stroke:#ffffff;stroke-linecap:square;stroke-width:2;\"/>\n     </g>\n     <g id=\"line2d_14\"/>\n     <g id=\"text_8\">\n      <!-- 0 -->\n      <g transform=\"translate(39.965625 228.439219)scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-48\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_2\">\n     <g id=\"line2d_15\">\n      <path clip-path=\"url(#pc38d6b500f)\" d=\"M 49.828125 182.17125 \nL 384.628125 182.17125 \n\" style=\"fill:none;stroke:#ffffff;stroke-linecap:square;stroke-width:2;\"/>\n     </g>\n     <g id=\"line2d_16\"/>\n     <g id=\"text_9\">\n      <!-- 200 -->\n      <g transform=\"translate(27.240625 185.970469)scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-50\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"127.246094\" xlink:href=\"#DejaVuSans-48\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_3\">\n     <g id=\"line2d_17\">\n      <path clip-path=\"url(#pc38d6b500f)\" d=\"M 49.828125 139.7025 \nL 384.628125 139.7025 \n\" style=\"fill:none;stroke:#ffffff;stroke-linecap:square;stroke-width:2;\"/>\n     </g>\n     <g id=\"line2d_18\"/>\n     <g id=\"text_10\">\n      <!-- 400 -->\n      <g transform=\"translate(27.240625 143.501719)scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-52\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"127.246094\" xlink:href=\"#DejaVuSans-48\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_4\">\n     <g id=\"line2d_19\">\n      <path clip-path=\"url(#pc38d6b500f)\" d=\"M 49.828125 97.23375 \nL 384.628125 97.23375 \n\" style=\"fill:none;stroke:#ffffff;stroke-linecap:square;stroke-width:2;\"/>\n     </g>\n     <g id=\"line2d_20\"/>\n     <g id=\"text_11\">\n      <!-- 600 -->\n      <g transform=\"translate(27.240625 101.032969)scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-54\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"127.246094\" xlink:href=\"#DejaVuSans-48\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_5\">\n     <g id=\"line2d_21\">\n      <path clip-path=\"url(#pc38d6b500f)\" d=\"M 49.828125 54.765 \nL 384.628125 54.765 \n\" style=\"fill:none;stroke:#ffffff;stroke-linecap:square;stroke-width:2;\"/>\n     </g>\n     <g id=\"line2d_22\"/>\n     <g id=\"text_12\">\n      <!-- 800 -->\n      <g transform=\"translate(27.240625 58.564219)scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-56\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"127.246094\" xlink:href=\"#DejaVuSans-48\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_6\">\n     <g id=\"line2d_23\">\n      <path clip-path=\"url(#pc38d6b500f)\" d=\"M 49.828125 12.29625 \nL 384.628125 12.29625 \n\" style=\"fill:none;stroke:#ffffff;stroke-linecap:square;stroke-width:2;\"/>\n     </g>\n     <g id=\"line2d_24\"/>\n     <g id=\"text_13\">\n      <!-- 1000 -->\n      <g transform=\"translate(20.878125 16.095469)scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-49\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"127.246094\" xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"190.869141\" xlink:href=\"#DejaVuSans-48\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"text_14\">\n     <!-- f(t) -->\n     <defs>\n      <path d=\"M 37.109375 75.984375 \nL 37.109375 68.5 \nL 28.515625 68.5 \nQ 23.6875 68.5 21.796875 66.546875 \nQ 19.921875 64.59375 19.921875 59.515625 \nL 19.921875 54.6875 \nL 34.71875 54.6875 \nL 34.71875 47.703125 \nL 19.921875 47.703125 \nL 19.921875 0 \nL 10.890625 0 \nL 10.890625 47.703125 \nL 2.296875 47.703125 \nL 2.296875 54.6875 \nL 10.890625 54.6875 \nL 10.890625 58.5 \nQ 10.890625 67.625 15.140625 71.796875 \nQ 19.390625 75.984375 28.609375 75.984375 \nz\n\" id=\"DejaVuSans-102\"/>\n     </defs>\n     <g transform=\"translate(14.798438 123.541875)rotate(-90)scale(0.1 -0.1)\">\n      <use xlink:href=\"#DejaVuSans-102\"/>\n      <use x=\"35.205078\" xlink:href=\"#DejaVuSans-40\"/>\n      <use x=\"74.21875\" xlink:href=\"#DejaVuSans-116\"/>\n      <use x=\"113.427734\" xlink:href=\"#DejaVuSans-41\"/>\n     </g>\n    </g>\n   </g>\n   <g id=\"line2d_25\">\n    <path clip-path=\"url(#pc38d6b500f)\" d=\"M 65.046307 7.412344 \nL 68.120687 7.780556 \nL 71.195067 8.738295 \nL 74.269447 11.204241 \nL 77.343827 17.390832 \nL 80.418208 31.952494 \nL 83.492588 61.635741 \nL 86.566968 107.708043 \nL 89.641348 156.055215 \nL 92.715728 190.20444 \nL 95.790108 208.52227 \nL 98.864489 217.14336 \nL 101.938869 221.061223 \nL 105.013249 222.863512 \nL 108.087629 223.719448 \nL 111.162009 224.14204 \nL 114.236389 224.359259 \nL 117.31077 224.475403 \nL 120.38515 224.539884 \nL 123.45953 224.576974 \nL 126.53391 224.59903 \nL 129.60829 224.612559 \nL 132.68267 224.621101 \nL 135.757051 224.626643 \nL 138.831431 224.630329 \nL 141.905811 224.632838 \nL 144.980191 224.634585 \nL 148.054571 224.635825 \nL 151.128951 224.636722 \nL 154.203332 224.637383 \nL 157.277712 224.637878 \nL 160.352092 224.638253 \nL 163.426472 224.638543 \nL 166.500852 224.638769 \nL 169.575232 224.638948 \nL 172.649613 224.639091 \nL 175.723993 224.639206 \nL 178.798373 224.639301 \nL 181.872753 224.639378 \nL 184.947133 224.639443 \nL 188.021513 224.639497 \nL 191.095894 224.639542 \nL 194.170274 224.639581 \nL 197.244654 224.639614 \nL 200.319034 224.639642 \nL 203.393414 224.639667 \nL 206.467794 224.639688 \nL 209.542175 224.639707 \nL 212.616555 224.639723 \nL 215.690935 224.639737 \nL 218.765315 224.63975 \nL 221.839695 224.639761 \nL 224.914075 224.639771 \nL 227.988456 224.63978 \nL 231.062836 224.639788 \nL 234.137216 224.639795 \nL 237.211596 224.639802 \nL 240.285976 224.639808 \nL 243.360356 224.639813 \nL 246.434737 224.639818 \nL 249.509117 224.639822 \nL 252.583497 224.639826 \nL 255.657877 224.63983 \nL 258.732257 224.639833 \nL 261.806637 224.639836 \nL 264.881018 224.639838 \nL 267.955398 224.639841 \nL 271.029778 224.639843 \nL 274.104158 224.639845 \nL 277.178538 224.639847 \nL 280.252918 224.639849 \nL 283.327299 224.639851 \nL 286.401679 224.639852 \nL 289.476059 224.639854 \nL 292.550439 224.639855 \nL 295.624819 224.639856 \nL 298.699199 224.639857 \nL 301.77358 224.639858 \nL 304.84796 224.639859 \nL 307.92234 224.63986 \nL 310.99672 224.639861 \nL 314.0711 224.639861 \nL 317.14548 224.639862 \nL 320.219861 224.639863 \nL 323.294241 224.639863 \nL 326.368621 224.639864 \nL 329.443001 224.639864 \nL 332.517381 224.639865 \nL 335.591761 224.639865 \nL 338.666142 224.639866 \nL 341.740522 224.639866 \nL 344.814902 224.639866 \nL 347.889282 224.639867 \nL 350.963662 224.639867 \nL 354.038042 224.639867 \nL 357.112423 224.639868 \nL 360.186803 224.639868 \nL 363.261183 224.639868 \nL 366.335563 224.639868 \nL 369.409943 224.639868 \n\" style=\"fill:none;stroke:#0000ff;stroke-linecap:square;stroke-opacity:0.5;stroke-width:2;\"/>\n   </g>\n   <g id=\"line2d_26\">\n    <path clip-path=\"url(#pc38d6b500f)\" d=\"M 65.046307 224.427656 \nL 68.120687 224.085176 \nL 71.195067 223.19457 \nL 74.269447 220.902858 \nL 77.343827 215.162403 \nL 80.418208 201.705717 \nL 83.492588 174.559878 \nL 86.566968 133.525949 \nL 89.641348 93.270917 \nL 92.715728 69.571749 \nL 95.790108 62.768559 \nL 98.864489 65.757591 \nL 101.938869 73.055023 \nL 105.013249 81.87573 \nL 108.087629 90.991146 \nL 111.162009 99.88823 \nL 114.236389 108.363281 \nL 117.31077 116.345509 \nL 120.38515 123.821754 \nL 123.45953 130.803916 \nL 126.53391 137.314513 \nL 129.60829 143.380114 \nL 132.68267 149.028293 \nL 135.757051 154.286196 \nL 138.831431 159.179888 \nL 141.905811 163.734068 \nL 144.980191 167.971972 \nL 148.054571 171.915368 \nL 151.128951 175.584599 \nL 154.203332 178.998647 \nL 157.277712 182.175208 \nL 160.352092 185.130767 \nL 163.426472 187.880676 \nL 166.500852 190.439228 \nL 169.575232 192.819729 \nL 172.649613 195.03456 \nL 175.723993 197.095246 \nL 178.798373 199.012511 \nL 181.872753 200.796333 \nL 184.947133 202.455999 \nL 188.021513 204.000147 \nL 191.095894 205.436817 \nL 194.170274 206.77349 \nL 197.244654 208.017123 \nL 200.319034 209.174193 \nL 203.393414 210.250725 \nL 206.467794 211.252324 \nL 209.542175 212.184205 \nL 212.616555 213.051221 \nL 215.690935 213.857888 \nL 218.765315 214.608405 \nL 221.839695 215.306681 \nL 224.914075 215.956352 \nL 227.988456 216.560801 \nL 231.062836 217.123176 \nL 234.137216 217.646406 \nL 237.211596 218.133215 \nL 240.285976 218.586138 \nL 243.360356 219.007535 \nL 246.434737 219.399599 \nL 249.509117 219.764373 \nL 252.583497 220.103755 \nL 255.657877 220.419514 \nL 258.732257 220.713294 \nL 261.806637 220.986624 \nL 264.881018 221.240928 \nL 267.955398 221.477531 \nL 271.029778 221.697664 \nL 274.104158 221.902474 \nL 277.178538 222.093028 \nL 280.252918 222.270318 \nL 283.327299 222.435267 \nL 286.401679 222.588734 \nL 289.476059 222.731519 \nL 292.550439 222.864365 \nL 295.624819 222.987963 \nL 298.699199 223.102958 \nL 301.77358 223.209949 \nL 304.84796 223.309492 \nL 307.92234 223.402106 \nL 310.99672 223.488274 \nL 314.0711 223.568443 \nL 317.14548 223.643032 \nL 320.219861 223.712429 \nL 323.294241 223.776996 \nL 326.368621 223.837068 \nL 329.443001 223.892959 \nL 332.517381 223.944959 \nL 335.591761 223.993339 \nL 338.666142 224.038352 \nL 341.740522 224.080232 \nL 344.814902 224.119196 \nL 347.889282 224.155448 \nL 350.963662 224.189177 \nL 354.038042 224.220558 \nL 357.112423 224.249755 \nL 360.186803 224.276919 \nL 363.261183 224.302192 \nL 366.335563 224.325706 \nL 369.409943 224.347584 \n\" style=\"fill:none;stroke:#ff0000;stroke-linecap:square;stroke-opacity:0.5;stroke-width:2;\"/>\n   </g>\n   <g id=\"line2d_27\">\n    <path clip-path=\"url(#pc38d6b500f)\" d=\"M 65.046307 224.64 \nL 68.120687 224.614269 \nL 71.195067 224.547135 \nL 74.269447 224.372902 \nL 77.343827 223.926766 \nL 80.418208 222.821789 \nL 83.492588 220.284381 \nL 86.566968 215.246008 \nL 89.641348 207.153869 \nL 92.715728 196.703812 \nL 95.790108 185.189171 \nL 98.864489 173.579049 \nL 101.938869 162.363754 \nL 105.013249 151.740758 \nL 108.087629 141.769406 \nL 111.162009 132.44973 \nL 114.236389 123.75746 \nL 117.31077 115.659088 \nL 120.38515 108.118362 \nL 123.45953 101.09911 \nL 126.53391 94.566457 \nL 129.60829 88.487327 \nL 132.68267 82.830606 \nL 135.757051 77.567161 \nL 138.831431 72.669783 \nL 141.905811 68.113094 \nL 144.980191 63.873443 \nL 148.054571 59.928807 \nL 151.128951 56.258679 \nL 154.203332 52.84397 \nL 157.277712 49.666914 \nL 160.352092 46.71098 \nL 163.426472 43.960781 \nL 166.500852 41.402003 \nL 169.575232 39.021323 \nL 172.649613 36.806349 \nL 175.723993 34.745548 \nL 178.798373 32.828189 \nL 181.872753 31.044288 \nL 184.947133 29.384559 \nL 188.021513 27.840356 \nL 191.095894 26.40364 \nL 194.170274 25.06693 \nL 197.244654 23.823263 \nL 200.319034 22.666165 \nL 203.393414 21.589609 \nL 206.467794 20.587988 \nL 209.542175 19.656088 \nL 212.616555 18.789056 \nL 215.690935 17.982375 \nL 218.765315 17.231845 \nL 221.839695 16.533558 \nL 224.914075 15.883877 \nL 227.988456 15.279419 \nL 231.062836 14.717036 \nL 234.137216 14.193799 \nL 237.211596 13.706983 \nL 240.285976 13.254054 \nL 243.360356 12.832652 \nL 246.434737 12.440583 \nL 249.509117 12.075805 \nL 252.583497 11.736419 \nL 255.657877 11.420657 \nL 258.732257 11.126874 \nL 261.806637 10.853541 \nL 264.881018 10.599233 \nL 267.955398 10.362628 \nL 271.029778 10.142493 \nL 274.104158 9.93768 \nL 277.178538 9.747125 \nL 280.252918 9.569833 \nL 283.327299 9.404882 \nL 286.401679 9.251414 \nL 289.476059 9.108627 \nL 292.550439 8.97578 \nL 295.624819 8.852181 \nL 298.699199 8.737184 \nL 301.77358 8.630193 \nL 304.84796 8.530649 \nL 307.92234 8.438034 \nL 310.99672 8.351866 \nL 314.0711 8.271695 \nL 317.14548 8.197106 \nL 320.219861 8.127708 \nL 323.294241 8.063141 \nL 326.368621 8.003068 \nL 329.443001 7.947177 \nL 332.517381 7.895176 \nL 335.591761 7.846795 \nL 338.666142 7.801782 \nL 341.740522 7.759902 \nL 344.814902 7.720937 \nL 347.889282 7.684685 \nL 350.963662 7.650956 \nL 354.038042 7.619575 \nL 357.112423 7.590378 \nL 360.186803 7.563213 \nL 363.261183 7.53794 \nL 366.335563 7.514425 \nL 369.409943 7.492548 \n\" style=\"fill:none;stroke:#008000;stroke-linecap:square;stroke-opacity:0.5;stroke-width:2;\"/>\n   </g>\n   <g id=\"line2d_28\">\n    <path clip-path=\"url(#pc38d6b500f)\" d=\"M 65.046307 79.892344 \nL 68.120687 82.288597 \nL 71.195067 84.844464 \nL 74.269447 87.678319 \nL 77.343827 90.986305 \nL 80.418208 95.08024 \nL 83.492588 100.424311 \nL 86.566968 107.636213 \nL 89.641348 117.379935 \nL 92.715728 130.064045 \nL 95.790108 145.38278 \nL 98.864489 162.042983 \nL 101.938869 178.131169 \nL 105.013249 191.998571 \nL 108.087629 202.898471 \nL 111.162009 210.943249 \nL 114.236389 216.685512 \nL 117.31077 220.75217 \nL 120.38515 223.436928 \nL 123.45953 224.310634 \nL 126.53391 224.548064 \nL 129.60829 224.613862 \nL 132.68267 224.63244 \nL 135.757051 224.637778 \nL 138.831431 224.639337 \nL 141.905811 224.639799 \nL 144.980191 224.639939 \nL 148.054571 224.639981 \nL 151.128951 224.639994 \nL 154.203332 224.639998 \nL 157.277712 224.639999 \nL 160.352092 224.64 \nL 163.426472 224.64 \nL 166.500852 224.64 \nL 169.575232 224.64 \nL 172.649613 224.64 \nL 175.723993 224.64 \nL 178.798373 224.64 \nL 181.872753 224.64 \nL 184.947133 224.64 \nL 188.021513 224.64 \nL 191.095894 224.64 \nL 194.170274 224.64 \nL 197.244654 224.64 \nL 200.319034 224.64 \nL 203.393414 224.64 \nL 206.467794 224.64 \nL 209.542175 224.64 \nL 212.616555 224.64 \nL 215.690935 224.64 \nL 218.765315 224.64 \nL 221.839695 224.64 \nL 224.914075 224.64 \nL 227.988456 224.64 \nL 231.062836 224.64 \nL 234.137216 224.64 \nL 237.211596 224.64 \nL 240.285976 224.64 \nL 243.360356 224.64 \nL 246.434737 224.64 \nL 249.509117 224.64 \nL 252.583497 224.64 \nL 255.657877 224.64 \nL 258.732257 224.64 \nL 261.806637 224.64 \nL 264.881018 224.64 \nL 267.955398 224.64 \nL 271.029778 224.64 \nL 274.104158 224.64 \nL 277.178538 224.64 \nL 280.252918 224.64 \nL 283.327299 224.64 \nL 286.401679 224.64 \nL 289.476059 224.64 \nL 292.550439 224.64 \nL 295.624819 224.64 \nL 298.699199 224.64 \nL 301.77358 224.64 \nL 304.84796 224.64 \nL 307.92234 224.64 \nL 310.99672 224.64 \nL 314.0711 224.64 \nL 317.14548 224.64 \nL 320.219861 224.64 \nL 323.294241 224.64 \nL 326.368621 224.64 \nL 329.443001 224.64 \nL 332.517381 224.64 \nL 335.591761 224.64 \nL 338.666142 224.64 \nL 341.740522 224.64 \nL 344.814902 224.64 \nL 347.889282 224.64 \nL 350.963662 224.64 \nL 354.038042 224.64 \nL 357.112423 224.64 \nL 360.186803 224.64 \nL 363.261183 224.64 \nL 366.335563 224.64 \nL 369.409943 224.64 \n\" style=\"fill:none;stroke:#0000ff;stroke-dasharray:7.4,3.2;stroke-dashoffset:0;stroke-width:2;\"/>\n   </g>\n   <g id=\"line2d_29\">\n    <path clip-path=\"url(#pc38d6b500f)\" d=\"M 65.046307 224.427656 \nL 68.120687 224.248903 \nL 71.195067 223.928082 \nL 74.269447 223.360519 \nL 77.343827 222.373603 \nL 80.418208 220.694898 \nL 83.492588 217.92377 \nL 86.566968 213.539575 \nL 89.641348 207.014369 \nL 92.715728 198.105758 \nL 95.790108 187.280061 \nL 98.864489 175.923808 \nL 101.938869 165.921245 \nL 105.013249 158.764761 \nL 108.087629 154.97088 \nL 111.162009 154.193229 \nL 114.236389 155.687417 \nL 117.31077 158.690742 \nL 120.38515 162.580195 \nL 123.45953 166.714856 \nL 126.53391 170.699305 \nL 129.60829 174.441576 \nL 132.68267 177.932502 \nL 135.757051 181.182852 \nL 138.831431 184.207602 \nL 141.905811 187.021981 \nL 144.980191 189.640505 \nL 148.054571 192.07677 \nL 151.128951 194.343454 \nL 154.203332 196.452358 \nL 157.277712 198.414464 \nL 160.352092 200.23999 \nL 163.426472 201.938444 \nL 166.500852 203.518671 \nL 169.575232 204.9889 \nL 172.649613 206.356788 \nL 175.723993 207.62946 \nL 178.798373 208.813542 \nL 181.872753 209.915202 \nL 184.947133 210.940176 \nL 188.021513 211.893804 \nL 191.095894 212.781051 \nL 194.170274 213.606537 \nL 197.244654 214.374562 \nL 200.319034 215.089127 \nL 203.393414 215.753951 \nL 206.467794 216.372498 \nL 209.542175 216.947988 \nL 212.616555 217.483419 \nL 215.690935 217.98158 \nL 218.765315 218.445064 \nL 221.839695 218.876286 \nL 224.914075 219.277491 \nL 227.988456 219.650768 \nL 231.062836 219.998062 \nL 234.137216 220.321182 \nL 237.211596 220.621809 \nL 240.285976 220.90151 \nL 243.360356 221.161742 \nL 246.434737 221.403859 \nL 249.509117 221.629123 \nL 252.583497 221.838706 \nL 255.657877 222.033701 \nL 258.732257 222.215122 \nL 261.806637 222.383915 \nL 264.881018 222.540958 \nL 267.955398 222.68707 \nL 271.029778 222.823011 \nL 274.104158 222.949489 \nL 277.178538 223.067163 \nL 280.252918 223.176646 \nL 283.327299 223.278509 \nL 286.401679 223.37328 \nL 289.476059 223.461455 \nL 292.550439 223.543492 \nL 295.624819 223.619819 \nL 298.699199 223.690832 \nL 301.77358 223.756903 \nL 304.84796 223.818374 \nL 307.92234 223.875566 \nL 310.99672 223.928778 \nL 314.0711 223.978285 \nL 317.14548 224.024346 \nL 320.219861 224.067201 \nL 323.294241 224.107073 \nL 326.368621 224.144169 \nL 329.443001 224.178683 \nL 332.517381 224.210795 \nL 335.591761 224.240671 \nL 338.666142 224.268468 \nL 341.740522 224.29433 \nL 344.814902 224.318392 \nL 347.889282 224.340778 \nL 350.963662 224.361607 \nL 354.038042 224.380985 \nL 357.112423 224.399015 \nL 360.186803 224.41579 \nL 363.261183 224.431397 \nL 366.335563 224.445917 \nL 369.409943 224.459427 \n\" style=\"fill:none;stroke:#ff0000;stroke-dasharray:7.4,3.2;stroke-dashoffset:0;stroke-width:2;\"/>\n   </g>\n   <g id=\"line2d_30\">\n    <path clip-path=\"url(#pc38d6b500f)\" d=\"M 65.046307 152.16 \nL 68.120687 149.9425 \nL 71.195067 147.707454 \nL 74.269447 145.441162 \nL 77.343827 143.120092 \nL 80.418208 140.704861 \nL 83.492588 138.131919 \nL 86.566968 135.304211 \nL 89.641348 132.085696 \nL 92.715728 128.310197 \nL 95.790108 123.817159 \nL 98.864489 118.513208 \nL 101.938869 112.427587 \nL 105.013249 105.716668 \nL 108.087629 98.610649 \nL 111.162009 91.343522 \nL 114.236389 84.107072 \nL 117.31077 77.037087 \nL 120.38515 70.462876 \nL 123.45953 65.45451 \nL 126.53391 61.23263 \nL 129.60829 57.424562 \nL 132.68267 53.915058 \nL 135.757051 50.65937 \nL 138.831431 47.633061 \nL 141.905811 44.818219 \nL 144.980191 42.199557 \nL 148.054571 39.763249 \nL 151.128951 37.496552 \nL 154.203332 35.387644 \nL 157.277712 33.425537 \nL 160.352092 31.60001 \nL 163.426472 29.901556 \nL 166.500852 28.321329 \nL 169.575232 26.8511 \nL 172.649613 25.483212 \nL 175.723993 24.21054 \nL 178.798373 23.026458 \nL 181.872753 21.924798 \nL 184.947133 20.899824 \nL 188.021513 19.946196 \nL 191.095894 19.058949 \nL 194.170274 18.233463 \nL 197.244654 17.465438 \nL 200.319034 16.750873 \nL 203.393414 16.086049 \nL 206.467794 15.467502 \nL 209.542175 14.892012 \nL 212.616555 14.356581 \nL 215.690935 13.85842 \nL 218.765315 13.394936 \nL 221.839695 12.963714 \nL 224.914075 12.562509 \nL 227.988456 12.189232 \nL 231.062836 11.841938 \nL 234.137216 11.518818 \nL 237.211596 11.218191 \nL 240.285976 10.93849 \nL 243.360356 10.678258 \nL 246.434737 10.436141 \nL 249.509117 10.210877 \nL 252.583497 10.001294 \nL 255.657877 9.806299 \nL 258.732257 9.624878 \nL 261.806637 9.456085 \nL 264.881018 9.299042 \nL 267.955398 9.15293 \nL 271.029778 9.016989 \nL 274.104158 8.890511 \nL 277.178538 8.772837 \nL 280.252918 8.663354 \nL 283.327299 8.561491 \nL 286.401679 8.46672 \nL 289.476059 8.378545 \nL 292.550439 8.296508 \nL 295.624819 8.220181 \nL 298.699199 8.149168 \nL 301.77358 8.083097 \nL 304.84796 8.021626 \nL 307.92234 7.964434 \nL 310.99672 7.911222 \nL 314.0711 7.861715 \nL 317.14548 7.815654 \nL 320.219861 7.772799 \nL 323.294241 7.732927 \nL 326.368621 7.695831 \nL 329.443001 7.661317 \nL 332.517381 7.629205 \nL 335.591761 7.599329 \nL 338.666142 7.571532 \nL 341.740522 7.54567 \nL 344.814902 7.521608 \nL 347.889282 7.499222 \nL 350.963662 7.478393 \nL 354.038042 7.459015 \nL 357.112423 7.440985 \nL 360.186803 7.42421 \nL 363.261183 7.408603 \nL 366.335563 7.394083 \nL 369.409943 7.380573 \n\" style=\"fill:none;stroke:#008000;stroke-dasharray:7.4,3.2;stroke-dashoffset:0;stroke-width:2;\"/>\n   </g>\n   <g id=\"legend_1\">\n    <g id=\"patch_3\">\n     <path d=\"M 309.279688 103.26875 \nL 377.628125 103.26875 \nQ 379.628125 103.26875 379.628125 101.26875 \nL 379.628125 14.2 \nQ 379.628125 12.2 377.628125 12.2 \nL 309.279688 12.2 \nQ 307.279688 12.2 307.279688 14.2 \nL 307.279688 101.26875 \nQ 307.279688 103.26875 309.279688 103.26875 \nz\n\" style=\"fill:#ffffff;opacity:0.5;stroke:#cccccc;stroke-linejoin:miter;\"/>\n    </g>\n    <g id=\"line2d_31\">\n     <path d=\"M 311.279688 20.298437 \nL 331.279688 20.298437 \n\" style=\"fill:none;stroke:#0000ff;stroke-linecap:square;stroke-opacity:0.5;stroke-width:2;\"/>\n    </g>\n    <g id=\"line2d_32\"/>\n    <g id=\"text_15\">\n     <!-- S -->\n     <defs>\n      <path d=\"M 53.515625 70.515625 \nL 53.515625 60.890625 \nQ 47.90625 63.578125 42.921875 64.890625 \nQ 37.9375 66.21875 33.296875 66.21875 \nQ 25.25 66.21875 20.875 63.09375 \nQ 16.5 59.96875 16.5 54.203125 \nQ 16.5 49.359375 19.40625 46.890625 \nQ 22.3125 44.4375 30.421875 42.921875 \nL 36.375 41.703125 \nQ 47.40625 39.59375 52.65625 34.296875 \nQ 57.90625 29 57.90625 20.125 \nQ 57.90625 9.515625 50.796875 4.046875 \nQ 43.703125 -1.421875 29.984375 -1.421875 \nQ 24.8125 -1.421875 18.96875 -0.25 \nQ 13.140625 0.921875 6.890625 3.21875 \nL 6.890625 13.375 \nQ 12.890625 10.015625 18.65625 8.296875 \nQ 24.421875 6.59375 29.984375 6.59375 \nQ 38.421875 6.59375 43.015625 9.90625 \nQ 47.609375 13.234375 47.609375 19.390625 \nQ 47.609375 24.75 44.3125 27.78125 \nQ 41.015625 30.8125 33.5 32.328125 \nL 27.484375 33.5 \nQ 16.453125 35.6875 11.515625 40.375 \nQ 6.59375 45.0625 6.59375 53.421875 \nQ 6.59375 63.09375 13.40625 68.65625 \nQ 20.21875 74.21875 32.171875 74.21875 \nQ 37.3125 74.21875 42.625 73.28125 \nQ 47.953125 72.359375 53.515625 70.515625 \nz\n\" id=\"DejaVuSans-83\"/>\n     </defs>\n     <g transform=\"translate(339.279688 23.798437)scale(0.1 -0.1)\">\n      <use xlink:href=\"#DejaVuSans-83\"/>\n     </g>\n    </g>\n    <g id=\"line2d_33\">\n     <path d=\"M 311.279688 34.976562 \nL 331.279688 34.976562 \n\" style=\"fill:none;stroke:#ff0000;stroke-linecap:square;stroke-opacity:0.5;stroke-width:2;\"/>\n    </g>\n    <g id=\"line2d_34\"/>\n    <g id=\"text_16\">\n     <!-- I -->\n     <defs>\n      <path d=\"M 9.8125 72.90625 \nL 19.671875 72.90625 \nL 19.671875 0 \nL 9.8125 0 \nz\n\" id=\"DejaVuSans-73\"/>\n     </defs>\n     <g transform=\"translate(339.279688 38.476562)scale(0.1 -0.1)\">\n      <use xlink:href=\"#DejaVuSans-73\"/>\n     </g>\n    </g>\n    <g id=\"line2d_35\">\n     <path d=\"M 311.279688 49.654687 \nL 331.279688 49.654687 \n\" style=\"fill:none;stroke:#008000;stroke-linecap:square;stroke-opacity:0.5;stroke-width:2;\"/>\n    </g>\n    <g id=\"line2d_36\"/>\n    <g id=\"text_17\">\n     <!-- R -->\n     <defs>\n      <path d=\"M 44.390625 34.1875 \nQ 47.5625 33.109375 50.5625 29.59375 \nQ 53.5625 26.078125 56.59375 19.921875 \nL 66.609375 0 \nL 56 0 \nL 46.6875 18.703125 \nQ 43.0625 26.03125 39.671875 28.421875 \nQ 36.28125 30.8125 30.421875 30.8125 \nL 19.671875 30.8125 \nL 19.671875 0 \nL 9.8125 0 \nL 9.8125 72.90625 \nL 32.078125 72.90625 \nQ 44.578125 72.90625 50.734375 67.671875 \nQ 56.890625 62.453125 56.890625 51.90625 \nQ 56.890625 45.015625 53.6875 40.46875 \nQ 50.484375 35.9375 44.390625 34.1875 \nz\nM 19.671875 64.796875 \nL 19.671875 38.921875 \nL 32.078125 38.921875 \nQ 39.203125 38.921875 42.84375 42.21875 \nQ 46.484375 45.515625 46.484375 51.90625 \nQ 46.484375 58.296875 42.84375 61.546875 \nQ 39.203125 64.796875 32.078125 64.796875 \nz\n\" id=\"DejaVuSans-82\"/>\n     </defs>\n     <g transform=\"translate(339.279688 53.154687)scale(0.1 -0.1)\">\n      <use xlink:href=\"#DejaVuSans-82\"/>\n     </g>\n    </g>\n    <g id=\"line2d_37\">\n     <path d=\"M 311.279688 64.332812 \nL 331.279688 64.332812 \n\" style=\"fill:none;stroke:#0000ff;stroke-dasharray:7.4,3.2;stroke-dashoffset:0;stroke-width:2;\"/>\n    </g>\n    <g id=\"line2d_38\"/>\n    <g id=\"text_18\">\n     <!-- S vacc. -->\n     <defs>\n      <path d=\"M 2.984375 54.6875 \nL 12.5 54.6875 \nL 29.59375 8.796875 \nL 46.6875 54.6875 \nL 56.203125 54.6875 \nL 35.6875 0 \nL 23.484375 0 \nz\n\" id=\"DejaVuSans-118\"/>\n      <path d=\"M 48.78125 52.59375 \nL 48.78125 44.1875 \nQ 44.96875 46.296875 41.140625 47.34375 \nQ 37.3125 48.390625 33.40625 48.390625 \nQ 24.65625 48.390625 19.8125 42.84375 \nQ 14.984375 37.3125 14.984375 27.296875 \nQ 14.984375 17.28125 19.8125 11.734375 \nQ 24.65625 6.203125 33.40625 6.203125 \nQ 37.3125 6.203125 41.140625 7.25 \nQ 44.96875 8.296875 48.78125 10.40625 \nL 48.78125 2.09375 \nQ 45.015625 0.34375 40.984375 -0.53125 \nQ 36.96875 -1.421875 32.421875 -1.421875 \nQ 20.0625 -1.421875 12.78125 6.34375 \nQ 5.515625 14.109375 5.515625 27.296875 \nQ 5.515625 40.671875 12.859375 48.328125 \nQ 20.21875 56 33.015625 56 \nQ 37.15625 56 41.109375 55.140625 \nQ 45.0625 54.296875 48.78125 52.59375 \nz\n\" id=\"DejaVuSans-99\"/>\n      <path d=\"M 10.6875 12.40625 \nL 21 12.40625 \nL 21 0 \nL 10.6875 0 \nz\n\" id=\"DejaVuSans-46\"/>\n     </defs>\n     <g transform=\"translate(339.279688 67.832812)scale(0.1 -0.1)\">\n      <use xlink:href=\"#DejaVuSans-83\"/>\n      <use x=\"63.476562\" xlink:href=\"#DejaVuSans-32\"/>\n      <use x=\"95.263672\" xlink:href=\"#DejaVuSans-118\"/>\n      <use x=\"154.443359\" xlink:href=\"#DejaVuSans-97\"/>\n      <use x=\"215.722656\" xlink:href=\"#DejaVuSans-99\"/>\n      <use x=\"270.703125\" xlink:href=\"#DejaVuSans-99\"/>\n      <use x=\"325.683594\" xlink:href=\"#DejaVuSans-46\"/>\n     </g>\n    </g>\n    <g id=\"line2d_39\">\n     <path d=\"M 311.279688 79.010937 \nL 331.279688 79.010937 \n\" style=\"fill:none;stroke:#ff0000;stroke-dasharray:7.4,3.2;stroke-dashoffset:0;stroke-width:2;\"/>\n    </g>\n    <g id=\"line2d_40\"/>\n    <g id=\"text_19\">\n     <!-- I vacc. -->\n     <g transform=\"translate(339.279688 82.510937)scale(0.1 -0.1)\">\n      <use xlink:href=\"#DejaVuSans-73\"/>\n      <use x=\"29.492188\" xlink:href=\"#DejaVuSans-32\"/>\n      <use x=\"61.279297\" xlink:href=\"#DejaVuSans-118\"/>\n      <use x=\"120.458984\" xlink:href=\"#DejaVuSans-97\"/>\n      <use x=\"181.738281\" xlink:href=\"#DejaVuSans-99\"/>\n      <use x=\"236.71875\" xlink:href=\"#DejaVuSans-99\"/>\n      <use x=\"291.699219\" xlink:href=\"#DejaVuSans-46\"/>\n     </g>\n    </g>\n    <g id=\"line2d_41\">\n     <path d=\"M 311.279688 93.689062 \nL 331.279688 93.689062 \n\" style=\"fill:none;stroke:#008000;stroke-dasharray:7.4,3.2;stroke-dashoffset:0;stroke-width:2;\"/>\n    </g>\n    <g id=\"line2d_42\"/>\n    <g id=\"text_20\">\n     <!-- R vacc. -->\n     <g transform=\"translate(339.279688 97.189062)scale(0.1 -0.1)\">\n      <use xlink:href=\"#DejaVuSans-82\"/>\n      <use x=\"69.482422\" xlink:href=\"#DejaVuSans-32\"/>\n      <use x=\"101.269531\" xlink:href=\"#DejaVuSans-118\"/>\n      <use x=\"160.449219\" xlink:href=\"#DejaVuSans-97\"/>\n      <use x=\"221.728516\" xlink:href=\"#DejaVuSans-99\"/>\n      <use x=\"276.708984\" xlink:href=\"#DejaVuSans-99\"/>\n      <use x=\"331.689453\" xlink:href=\"#DejaVuSans-46\"/>\n     </g>\n    </g>\n   </g>\n  </g>\n </g>\n <defs>\n  <clipPath id=\"pc38d6b500f\">\n   <rect height=\"217.44\" width=\"334.8\" x=\"49.828125\" y=\"7.2\"/>\n  </clipPath>\n </defs>\n</svg>\n",
      "image/png": "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\n"
     },
     "metadata": {}
    }
   ],
   "source": [
    "import numpy as np\n",
    "from scipy.integrate import odeint\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "# Total population, N.\n",
    "N = 2 ** 10\n",
    "# Initial number of infected and recovered individuals, I0 and R0.\n",
    "I0, R0 = 1, 0\n",
    "# Everyone else, S0, is susceptible to infection initially.\n",
    "S0 = N - I0 - R0\n",
    "vaccRate = 0.01\n",
    "initVacc = 1 / 3 * N\n",
    "IB0 = 1\n",
    "RB0 = initVacc\n",
    "SB0 = N - initVacc - IB0\n",
    "\n",
    "\n",
    "# Contact rate, beta, and mean recovery rate, gamma, (in 1/days).\n",
    "beta, gamma = 0.001, 1./14 \n",
    "# A grid of time points (in days)\n",
    "t = np.linspace(0, 100, 100)\n",
    "\n",
    "# The SIR model differential equations.\n",
    "def deriv(y, t, N, beta, gamma):\n",
    "    V, SB, IB, RB, S, I, R = y\n",
    "    dVdt = min(SB, N * vaccRate)\n",
    "    dSdt = -beta * S * I\n",
    "    dIdt = beta * S * I - gamma * I\n",
    "    dRdt = gamma * I\n",
    "    dSBdt = -beta * SB * IB - dVdt\n",
    "    dIBdt = beta * SB * IB - gamma * IB\n",
    "    dRBdt = gamma * IB + dVdt\n",
    "    return dVdt, dSBdt, dIBdt, dRBdt, dSdt, dIdt, dRdt\n",
    "\n",
    "# Initial conditions vector\n",
    "y0 = 0, SB0, IB0, RB0, S0, I0, R0\n",
    "# Integrate the SIR equations over the time grid, t.\n",
    "ret = odeint(deriv, y0, t, args=(N, beta, gamma))\n",
    "V, SB, IB, RB, S, I, R = ret.T\n",
    "\n",
    "# Plot the data on three separate curves for S(t), I(t) and R(t)\n",
    "fig = plt.figure(facecolor='w')\n",
    "ax = fig.add_subplot(111, facecolor='#dddddd', axisbelow=True)\n",
    "ax.plot(t, S, 'b', alpha=0.5, lw=2, label='S')\n",
    "ax.plot(t, I, 'r', alpha=0.5, lw=2, label='I')\n",
    "ax.plot(t, R, 'g', alpha=0.5, lw=2, label='R')\n",
    "ax.plot(t, SB, 'b--', alpha=1, lw=2, label='S vacc.')\n",
    "ax.plot(t, IB, 'r--', alpha=1, lw=2, label='I vacc.')\n",
    "ax.plot(t, RB, 'g--', alpha=1, lw=2, label='R vacc.')\n",
    "ax.set_xlabel('t (days)')\n",
    "ax.set_ylabel('f(t)')\n",
    "ax.set_ylim((0, N))\n",
    "ax.yaxis.set_tick_params(length=0)\n",
    "ax.xaxis.set_tick_params(length=0)\n",
    "ax.grid(b=True, which='major', c='w', lw=2, ls='-')\n",
    "legend = ax.legend()\n",
    "legend.get_frame().set_alpha(0.5)\n",
    "for spine in ('top', 'right', 'bottom', 'left'):\n",
    "    ax.spines[spine].set_visible(False)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ]
}