CH_EN_6355_Utah_CFD_Saad/2D Advection FDM.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# 2D Linear Advection with Finite Differences\n",
    "## CH EN 6355 - Computational Fluid Dynamics\n",
    "**Prof. Tony Saad (<a>www.tsaad.net</a>) <br/>Department of Chemical Engineering <br/>University of Utah**\n",
    "<hr/>"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "%matplotlib inline\n",
    "%config InlineBackend.figure_format = 'svg'\n",
    "import matplotlib.pyplot as plt\n",
    "import matplotlib.animation as animation\n",
    "plt.rcParams['animation.html'] = 'html5'\n",
    "from matplotlib import cm"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [],
   "source": [
    "nx = 21\n",
    "ny = 21\n",
    "Lx = 1.0\n",
    "Ly = 1.0\n",
    "x = np.linspace(0,Lx,nx)\n",
    "y = np.linspace(0,Ly,ny)\n",
    "dx = Lx/(nx-1)\n",
    "dy = Ly/(ny-1)\n",
    "# create a grid of coordinates\n",
    "xx,yy = np.meshgrid(x,y)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.contour.QuadContourSet at 0x10c9b15f8>"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "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 (http://matplotlib.org/) -->\n",
       "<svg height=\"252.317344pt\" version=\"1.1\" viewBox=\"0 0 380.054687 252.317344\" width=\"380.054687pt\" 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 0 252.317344 \n",
       "L 380.054687 252.317344 \n",
       "L 380.054687 0 \n",
       "L 0 0 \n",
       "z\n",
       "\" style=\"fill:none;\"/>\n",
       "  </g>\n",
       "  <g id=\"axes_1\">\n",
       "   <g id=\"patch_2\">\n",
       "    <path d=\"M 30.103125 228.439219 \n",
       "L 364.903125 228.439219 \n",
       "L 364.903125 10.999219 \n",
       "L 30.103125 10.999219 \n",
       "z\n",
       "\" style=\"fill:#ffffff;\"/>\n",
       "   </g>\n",
       "   <g id=\"PathCollection_1\">\n",
       "    <path clip-path=\"url(#p94437bc12a)\" d=\"M 264.463125 196.826736 \n",
       "L 281.203125 198.723493 \n",
       "L 297.943125 196.826736 \n",
       "L 300.772286 195.823219 \n",
       "L 314.683125 186.788652 \n",
       "L 316.228275 184.951219 \n",
       "L 319.148779 174.079219 \n",
       "L 316.228275 163.207219 \n",
       "L 314.683125 161.369785 \n",
       "L 300.772286 152.335219 \n",
       "L 297.943125 151.331702 \n",
       "L 281.203125 149.434944 \n",
       "L 264.463125 151.331702 \n",
       "L 261.633964 152.335219 \n",
       "L 247.723125 161.369785 \n",
       "L 246.177975 163.207219 \n",
       "L 243.257471 174.079219 \n",
       "L 246.177975 184.951219 \n",
       "L 247.723125 186.788652 \n",
       "L 261.633964 195.823219 \n",
       "z\n",
       "\" style=\"fill:#48186a;\"/>\n",
       "    <path clip-path=\"url(#p94437bc12a)\" d=\"M 97.063125 88.106736 \n",
       "L 113.803125 90.003493 \n",
       "L 130.543125 88.106736 \n",
       "L 133.372286 87.103219 \n",
       "L 147.283125 78.068652 \n",
       "L 148.828275 76.231219 \n",
       "L 151.748779 65.359219 \n",
       "L 148.828275 54.487219 \n",
       "L 147.283125 52.649785 \n",
       "L 133.372286 43.615219 \n",
       "L 130.543125 42.611702 \n",
       "L 113.803125 40.714944 \n",
       "L 97.063125 42.611702 \n",
       "L 94.233964 43.615219 \n",
       "L 80.323125 52.649785 \n",
       "L 78.777975 54.487219 \n",
       "L 75.857471 65.359219 \n",
       "L 78.777975 76.231219 \n",
       "L 80.323125 78.068652 \n",
       "L 94.233964 87.103219 \n",
       "z\n",
       "\" style=\"fill:#48186a;\"/>\n",
       "   </g>\n",
       "   <g id=\"PathCollection_2\">\n",
       "    <path clip-path=\"url(#p94437bc12a)\" d=\"M 264.463125 209.115339 \n",
       "L 281.203125 210.118856 \n",
       "L 297.943125 209.115339 \n",
       "L 309.776392 206.695219 \n",
       "L 314.683125 205.208704 \n",
       "L 329.134286 195.823219 \n",
       "L 331.423125 192.63648 \n",
       "L 335.149469 184.951219 \n",
       "L 336.694619 174.079219 \n",
       "L 335.149469 163.207219 \n",
       "L 331.423125 155.521957 \n",
       "L 329.134286 152.335219 \n",
       "L 314.683125 142.949734 \n",
       "L 309.776392 141.463219 \n",
       "L 297.943125 139.043099 \n",
       "L 281.203125 138.039582 \n",
       "L 264.463125 139.043099 \n",
       "L 252.629858 141.463219 \n",
       "L 247.723125 142.949734 \n",
       "L 233.271964 152.335219 \n",
       "L 230.983125 155.521957 \n",
       "L 227.256781 163.207219 \n",
       "L 225.711631 174.079219 \n",
       "L 227.256781 184.951219 \n",
       "L 230.983125 192.63648 \n",
       "L 233.271964 195.823219 \n",
       "L 247.723125 205.208704 \n",
       "L 252.629858 206.695219 \n",
       "z\n",
       "M 261.633964 195.823219 \n",
       "L 247.723125 186.788652 \n",
       "L 246.177975 184.951219 \n",
       "L 243.257471 174.079219 \n",
       "L 246.177975 163.207219 \n",
       "L 247.723125 161.369785 \n",
       "L 261.633964 152.335219 \n",
       "L 264.463125 151.331702 \n",
       "L 281.203125 149.434944 \n",
       "L 297.943125 151.331702 \n",
       "L 300.772286 152.335219 \n",
       "L 314.683125 161.369785 \n",
       "L 316.228275 163.207219 \n",
       "L 319.148779 174.079219 \n",
       "L 316.228275 184.951219 \n",
       "L 314.683125 186.788652 \n",
       "L 300.772286 195.823219 \n",
       "L 297.943125 196.826736 \n",
       "L 281.203125 198.723493 \n",
       "L 264.463125 196.826736 \n",
       "z\n",
       "\" style=\"fill:#424086;\"/>\n",
       "    <path clip-path=\"url(#p94437bc12a)\" d=\"M 97.063125 100.395339 \n",
       "L 113.803125 101.398856 \n",
       "L 130.543125 100.395339 \n",
       "L 142.376392 97.975219 \n",
       "L 147.283125 96.488704 \n",
       "L 161.734286 87.103219 \n",
       "L 164.023125 83.91648 \n",
       "L 167.749469 76.231219 \n",
       "L 169.294619 65.359219 \n",
       "L 167.749469 54.487219 \n",
       "L 164.023125 46.801957 \n",
       "L 161.734286 43.615219 \n",
       "L 147.283125 34.229734 \n",
       "L 142.376392 32.743219 \n",
       "L 130.543125 30.323099 \n",
       "L 113.803125 29.319582 \n",
       "L 97.063125 30.323099 \n",
       "L 85.229858 32.743219 \n",
       "L 80.323125 34.229734 \n",
       "L 65.871964 43.615219 \n",
       "L 63.583125 46.801957 \n",
       "L 59.856781 54.487219 \n",
       "L 58.311631 65.359219 \n",
       "L 59.856781 76.231219 \n",
       "L 63.583125 83.91648 \n",
       "L 65.871964 87.103219 \n",
       "L 80.323125 96.488704 \n",
       "L 85.229858 97.975219 \n",
       "z\n",
       "M 94.233964 87.103219 \n",
       "L 80.323125 78.068652 \n",
       "L 78.777975 76.231219 \n",
       "L 75.857471 65.359219 \n",
       "L 78.777975 54.487219 \n",
       "L 80.323125 52.649785 \n",
       "L 94.233964 43.615219 \n",
       "L 97.063125 42.611702 \n",
       "L 113.803125 40.714944 \n",
       "L 130.543125 42.611702 \n",
       "L 133.372286 43.615219 \n",
       "L 147.283125 52.649785 \n",
       "L 148.828275 54.487219 \n",
       "L 151.748779 65.359219 \n",
       "L 148.828275 76.231219 \n",
       "L 147.283125 78.068652 \n",
       "L 133.372286 87.103219 \n",
       "L 130.543125 88.106736 \n",
       "L 113.803125 90.003493 \n",
       "L 97.063125 88.106736 \n",
       "z\n",
       "\" style=\"fill:#424086;\"/>\n",
       "   </g>\n",
       "   <g id=\"PathCollection_3\">\n",
       "    <path clip-path=\"url(#p94437bc12a)\" d=\"M 264.463125 219.190943 \n",
       "L 281.203125 219.643586 \n",
       "L 297.943125 219.190943 \n",
       "L 314.683125 217.567219 \n",
       "L 314.683125 217.567219 \n",
       "L 331.423125 213.031175 \n",
       "L 341.178819 206.695219 \n",
       "L 348.163125 195.823219 \n",
       "L 348.163125 195.823219 \n",
       "L 350.66323 184.951219 \n",
       "L 351.360181 174.079219 \n",
       "L 350.66323 163.207219 \n",
       "L 348.163125 152.335219 \n",
       "L 348.163125 152.335219 \n",
       "L 341.178819 141.463219 \n",
       "L 331.423125 135.127263 \n",
       "L 314.683125 130.591219 \n",
       "L 297.943125 128.967494 \n",
       "L 281.203125 128.514852 \n",
       "L 264.463125 128.967494 \n",
       "L 247.723125 130.591219 \n",
       "L 247.723125 130.591219 \n",
       "L 230.983125 135.127263 \n",
       "L 221.227431 141.463219 \n",
       "L 214.243125 152.335219 \n",
       "L 214.243125 152.335219 \n",
       "L 211.74302 163.207219 \n",
       "L 211.046069 174.079219 \n",
       "L 211.74302 184.951219 \n",
       "L 214.243125 195.823219 \n",
       "L 214.243125 195.823219 \n",
       "L 221.227431 206.695219 \n",
       "L 230.983125 213.031175 \n",
       "L 247.723125 217.567219 \n",
       "L 247.723125 217.567219 \n",
       "z\n",
       "M 252.629858 206.695219 \n",
       "L 247.723125 205.208704 \n",
       "L 233.271964 195.823219 \n",
       "L 230.983125 192.63648 \n",
       "L 227.256781 184.951219 \n",
       "L 225.711631 174.079219 \n",
       "L 227.256781 163.207219 \n",
       "L 230.983125 155.521957 \n",
       "L 233.271964 152.335219 \n",
       "L 247.723125 142.949734 \n",
       "L 252.629858 141.463219 \n",
       "L 264.463125 139.043099 \n",
       "L 281.203125 138.039582 \n",
       "L 297.943125 139.043099 \n",
       "L 309.776392 141.463219 \n",
       "L 314.683125 142.949734 \n",
       "L 329.134286 152.335219 \n",
       "L 331.423125 155.521957 \n",
       "L 335.149469 163.207219 \n",
       "L 336.694619 174.079219 \n",
       "L 335.149469 184.951219 \n",
       "L 331.423125 192.63648 \n",
       "L 329.134286 195.823219 \n",
       "L 314.683125 205.208704 \n",
       "L 309.776392 206.695219 \n",
       "L 297.943125 209.115339 \n",
       "L 281.203125 210.118856 \n",
       "L 264.463125 209.115339 \n",
       "z\n",
       "\" style=\"fill:#33638d;\"/>\n",
       "    <path clip-path=\"url(#p94437bc12a)\" d=\"M 80.323125 108.847219 \n",
       "L 97.063125 110.470943 \n",
       "L 113.803125 110.923586 \n",
       "L 130.543125 110.470943 \n",
       "L 147.283125 108.847219 \n",
       "L 147.283125 108.847219 \n",
       "L 164.023125 104.311175 \n",
       "L 173.778819 97.975219 \n",
       "L 180.763125 87.103219 \n",
       "L 180.763125 87.103219 \n",
       "L 183.26323 76.231219 \n",
       "L 183.960181 65.359219 \n",
       "L 183.26323 54.487219 \n",
       "L 180.763125 43.615219 \n",
       "L 173.778819 32.743219 \n",
       "L 164.023125 26.407263 \n",
       "L 147.283125 21.871219 \n",
       "L 147.283125 21.871219 \n",
       "L 130.543125 20.247494 \n",
       "L 113.803125 19.794852 \n",
       "L 97.063125 20.247494 \n",
       "L 80.323125 21.871219 \n",
       "L 80.323125 21.871219 \n",
       "L 63.583125 26.407263 \n",
       "L 53.827431 32.743219 \n",
       "L 46.843125 43.615219 \n",
       "L 46.843125 43.615219 \n",
       "L 44.34302 54.487219 \n",
       "L 43.646069 65.359219 \n",
       "L 44.34302 76.231219 \n",
       "L 46.843125 87.103219 \n",
       "L 46.843125 87.103219 \n",
       "L 53.827431 97.975219 \n",
       "L 63.583125 104.311175 \n",
       "L 80.323125 108.847219 \n",
       "z\n",
       "M 85.229858 97.975219 \n",
       "L 80.323125 96.488704 \n",
       "L 65.871964 87.103219 \n",
       "L 63.583125 83.91648 \n",
       "L 59.856781 76.231219 \n",
       "L 58.311631 65.359219 \n",
       "L 59.856781 54.487219 \n",
       "L 63.583125 46.801957 \n",
       "L 65.871964 43.615219 \n",
       "L 80.323125 34.229734 \n",
       "L 85.229858 32.743219 \n",
       "L 97.063125 30.323099 \n",
       "L 113.803125 29.319582 \n",
       "L 130.543125 30.323099 \n",
       "L 142.376392 32.743219 \n",
       "L 147.283125 34.229734 \n",
       "L 161.734286 43.615219 \n",
       "L 164.023125 46.801957 \n",
       "L 167.749469 54.487219 \n",
       "L 169.294619 65.359219 \n",
       "L 167.749469 76.231219 \n",
       "L 164.023125 83.91648 \n",
       "L 161.734286 87.103219 \n",
       "L 147.283125 96.488704 \n",
       "L 142.376392 97.975219 \n",
       "L 130.543125 100.395339 \n",
       "L 113.803125 101.398856 \n",
       "L 97.063125 100.395339 \n",
       "z\n",
       "\" style=\"fill:#33638d;\"/>\n",
       "   </g>\n",
       "   <g id=\"PathCollection_4\">\n",
       "    <path clip-path=\"url(#p94437bc12a)\" d=\"M 46.843125 228.439219 \n",
       "L 63.583125 228.439219 \n",
       "L 80.323125 228.439219 \n",
       "L 97.063125 228.439219 \n",
       "L 113.803125 228.439219 \n",
       "L 130.543125 228.439219 \n",
       "L 147.283125 228.439219 \n",
       "L 164.023125 228.439219 \n",
       "L 180.763125 228.439219 \n",
       "L 197.503125 228.439219 \n",
       "L 214.243125 228.439219 \n",
       "L 230.983125 228.439219 \n",
       "L 247.723125 228.439219 \n",
       "L 264.463125 228.439219 \n",
       "L 281.203125 228.439219 \n",
       "L 297.943125 228.439219 \n",
       "L 314.683125 228.439219 \n",
       "L 331.423125 228.439219 \n",
       "L 348.163125 228.439219 \n",
       "L 364.903125 228.439219 \n",
       "L 364.903125 217.567219 \n",
       "L 364.903125 206.695219 \n",
       "L 364.903125 195.823219 \n",
       "L 364.903125 184.951219 \n",
       "L 364.903125 174.079219 \n",
       "L 364.903125 163.207219 \n",
       "L 364.903125 152.335219 \n",
       "L 364.903125 141.463219 \n",
       "L 364.903125 130.591219 \n",
       "L 364.903125 119.719219 \n",
       "L 348.163125 119.719219 \n",
       "L 331.423125 119.719219 \n",
       "L 314.683125 119.719219 \n",
       "L 297.943125 119.719219 \n",
       "L 281.203125 119.719219 \n",
       "L 264.463125 119.719219 \n",
       "L 247.723125 119.719219 \n",
       "L 230.983125 119.719219 \n",
       "L 214.243125 119.719219 \n",
       "L 197.503125 119.719219 \n",
       "L 197.503125 130.591219 \n",
       "L 197.503125 141.463219 \n",
       "L 197.503125 152.335219 \n",
       "L 197.503125 163.207219 \n",
       "L 197.503125 174.079219 \n",
       "L 197.503125 184.951219 \n",
       "L 197.503125 195.823219 \n",
       "L 197.503125 206.695219 \n",
       "L 197.503125 217.567219 \n",
       "L 197.503125 228.439219 \n",
       "L 180.763125 228.439219 \n",
       "L 164.023125 228.439219 \n",
       "L 147.283125 228.439219 \n",
       "L 130.543125 228.439219 \n",
       "L 113.803125 228.439219 \n",
       "L 97.063125 228.439219 \n",
       "L 80.323125 228.439219 \n",
       "L 63.583125 228.439219 \n",
       "L 46.843125 228.439219 \n",
       "L 30.103125 217.567219 \n",
       "L 30.103125 206.695219 \n",
       "L 30.103125 195.823219 \n",
       "L 30.103125 184.951219 \n",
       "L 30.103125 174.079219 \n",
       "L 30.103125 163.207219 \n",
       "L 30.103125 152.335219 \n",
       "L 30.103125 141.463219 \n",
       "L 30.103125 130.591219 \n",
       "L 30.103125 119.719219 \n",
       "L 46.843125 119.719219 \n",
       "L 63.583125 119.719219 \n",
       "L 80.323125 119.719219 \n",
       "L 97.063125 119.719219 \n",
       "L 113.803125 119.719219 \n",
       "L 130.543125 119.719219 \n",
       "L 147.283125 119.719219 \n",
       "L 164.023125 119.719219 \n",
       "L 180.763125 119.719219 \n",
       "L 197.503125 119.719219 \n",
       "L 197.503125 108.847219 \n",
       "L 197.503125 97.975219 \n",
       "L 197.503125 87.103219 \n",
       "L 197.503125 76.231219 \n",
       "L 197.503125 65.359219 \n",
       "L 197.503125 54.487219 \n",
       "L 197.503125 43.615219 \n",
       "L 197.503125 32.743219 \n",
       "L 197.503125 21.871219 \n",
       "L 197.503125 10.999219 \n",
       "L 180.763125 10.999219 \n",
       "L 164.023125 10.999219 \n",
       "L 147.283125 10.999219 \n",
       "L 130.543125 10.999219 \n",
       "L 113.803125 10.999219 \n",
       "L 97.063125 10.999219 \n",
       "L 80.323125 10.999219 \n",
       "L 63.583125 10.999219 \n",
       "L 46.843125 10.999219 \n",
       "L 30.103125 10.999219 \n",
       "L 30.103125 21.871219 \n",
       "L 30.103125 32.743219 \n",
       "L 30.103125 43.615219 \n",
       "L 30.103125 54.487219 \n",
       "L 30.103125 65.359219 \n",
       "L 30.103125 76.231219 \n",
       "L 30.103125 87.103219 \n",
       "L 30.103125 97.975219 \n",
       "L 30.103125 108.847219 \n",
       "L 30.103125 119.719219 \n",
       "L 30.103125 130.591219 \n",
       "L 30.103125 141.463219 \n",
       "L 30.103125 152.335219 \n",
       "L 30.103125 163.207219 \n",
       "L 30.103125 174.079219 \n",
       "L 30.103125 184.951219 \n",
       "L 30.103125 195.823219 \n",
       "L 30.103125 206.695219 \n",
       "L 30.103125 217.567219 \n",
       "L 30.103125 228.439219 \n",
       "z\n",
       "M 247.723125 217.567219 \n",
       "L 247.723125 217.567219 \n",
       "L 230.983125 213.031175 \n",
       "L 221.227431 206.695219 \n",
       "L 214.243125 195.823219 \n",
       "L 214.243125 195.823219 \n",
       "L 211.74302 184.951219 \n",
       "L 211.046069 174.079219 \n",
       "L 211.74302 163.207219 \n",
       "L 214.243125 152.335219 \n",
       "L 214.243125 152.335219 \n",
       "L 221.227431 141.463219 \n",
       "L 230.983125 135.127263 \n",
       "L 247.723125 130.591219 \n",
       "L 247.723125 130.591219 \n",
       "L 264.463125 128.967494 \n",
       "L 281.203125 128.514852 \n",
       "L 297.943125 128.967494 \n",
       "L 314.683125 130.591219 \n",
       "L 331.423125 135.127263 \n",
       "L 341.178819 141.463219 \n",
       "L 348.163125 152.335219 \n",
       "L 348.163125 152.335219 \n",
       "L 350.66323 163.207219 \n",
       "L 351.360181 174.079219 \n",
       "L 350.66323 184.951219 \n",
       "L 348.163125 195.823219 \n",
       "L 348.163125 195.823219 \n",
       "L 341.178819 206.695219 \n",
       "L 331.423125 213.031175 \n",
       "L 314.683125 217.567219 \n",
       "L 314.683125 217.567219 \n",
       "L 297.943125 219.190943 \n",
       "L 281.203125 219.643586 \n",
       "L 264.463125 219.190943 \n",
       "z\n",
       "M 80.323125 108.847219 \n",
       "L 63.583125 104.311175 \n",
       "L 53.827431 97.975219 \n",
       "L 46.843125 87.103219 \n",
       "L 46.843125 87.103219 \n",
       "L 44.34302 76.231219 \n",
       "L 43.646069 65.359219 \n",
       "L 44.34302 54.487219 \n",
       "L 46.843125 43.615219 \n",
       "L 46.843125 43.615219 \n",
       "L 53.827431 32.743219 \n",
       "L 63.583125 26.407263 \n",
       "L 80.323125 21.871219 \n",
       "L 80.323125 21.871219 \n",
       "L 97.063125 20.247494 \n",
       "L 113.803125 19.794852 \n",
       "L 130.543125 20.247494 \n",
       "L 147.283125 21.871219 \n",
       "L 147.283125 21.871219 \n",
       "L 164.023125 26.407263 \n",
       "L 173.778819 32.743219 \n",
       "L 180.763125 43.615219 \n",
       "L 183.26323 54.487219 \n",
       "L 183.960181 65.359219 \n",
       "L 183.26323 76.231219 \n",
       "L 180.763125 87.103219 \n",
       "L 180.763125 87.103219 \n",
       "L 173.778819 97.975219 \n",
       "L 164.023125 104.311175 \n",
       "L 147.283125 108.847219 \n",
       "L 147.283125 108.847219 \n",
       "L 130.543125 110.470943 \n",
       "L 113.803125 110.923586 \n",
       "L 97.063125 110.470943 \n",
       "L 80.323125 108.847219 \n",
       "z\n",
       "\" style=\"fill:#26828e;\"/>\n",
       "   </g>\n",
       "   <g id=\"PathCollection_5\">\n",
       "    <path clip-path=\"url(#p94437bc12a)\" d=\"M 46.843125 228.439219 \n",
       "L 63.583125 228.439219 \n",
       "L 80.323125 228.439219 \n",
       "L 97.063125 228.439219 \n",
       "L 113.803125 228.439219 \n",
       "L 130.543125 228.439219 \n",
       "L 147.283125 228.439219 \n",
       "L 164.023125 228.439219 \n",
       "L 180.763125 228.439219 \n",
       "L 197.503125 228.439219 \n",
       "L 197.503125 217.567219 \n",
       "L 197.503125 206.695219 \n",
       "L 197.503125 195.823219 \n",
       "L 197.503125 184.951219 \n",
       "L 197.503125 174.079219 \n",
       "L 197.503125 163.207219 \n",
       "L 197.503125 152.335219 \n",
       "L 197.503125 141.463219 \n",
       "L 197.503125 130.591219 \n",
       "L 197.503125 119.719219 \n",
       "L 214.243125 119.719219 \n",
       "L 230.983125 119.719219 \n",
       "L 247.723125 119.719219 \n",
       "L 264.463125 119.719219 \n",
       "L 281.203125 119.719219 \n",
       "L 297.943125 119.719219 \n",
       "L 314.683125 119.719219 \n",
       "L 331.423125 119.719219 \n",
       "L 348.163125 119.719219 \n",
       "L 364.903125 119.719219 \n",
       "L 364.903125 108.847219 \n",
       "L 364.903125 97.975219 \n",
       "L 364.903125 87.103219 \n",
       "L 364.903125 76.231219 \n",
       "L 364.903125 65.359219 \n",
       "L 364.903125 54.487219 \n",
       "L 364.903125 43.615219 \n",
       "L 364.903125 32.743219 \n",
       "L 364.903125 21.871219 \n",
       "L 364.903125 10.999219 \n",
       "L 348.163125 10.999219 \n",
       "L 331.423125 10.999219 \n",
       "L 314.683125 10.999219 \n",
       "L 297.943125 10.999219 \n",
       "L 281.203125 10.999219 \n",
       "L 264.463125 10.999219 \n",
       "L 247.723125 10.999219 \n",
       "L 230.983125 10.999219 \n",
       "L 214.243125 10.999219 \n",
       "L 197.503125 10.999219 \n",
       "L 197.503125 21.871219 \n",
       "L 197.503125 32.743219 \n",
       "L 197.503125 43.615219 \n",
       "L 197.503125 54.487219 \n",
       "L 197.503125 65.359219 \n",
       "L 197.503125 76.231219 \n",
       "L 197.503125 87.103219 \n",
       "L 197.503125 97.975219 \n",
       "L 197.503125 108.847219 \n",
       "L 197.503125 119.719219 \n",
       "L 180.763125 119.719219 \n",
       "L 164.023125 119.719219 \n",
       "L 147.283125 119.719219 \n",
       "L 130.543125 119.719219 \n",
       "L 113.803125 119.719219 \n",
       "L 97.063125 119.719219 \n",
       "L 80.323125 119.719219 \n",
       "L 63.583125 119.719219 \n",
       "L 46.843125 119.719219 \n",
       "L 30.103125 119.719219 \n",
       "L 30.103125 130.591219 \n",
       "L 30.103125 141.463219 \n",
       "L 30.103125 152.335219 \n",
       "L 30.103125 163.207219 \n",
       "L 30.103125 174.079219 \n",
       "L 30.103125 184.951219 \n",
       "L 30.103125 195.823219 \n",
       "L 30.103125 206.695219 \n",
       "L 30.103125 217.567219 \n",
       "z\n",
       "M 80.323125 217.567219 \n",
       "L 80.323125 217.567219 \n",
       "L 63.583125 213.031175 \n",
       "L 53.827431 206.695219 \n",
       "L 46.843125 195.823219 \n",
       "L 46.843125 195.823219 \n",
       "L 44.34302 184.951219 \n",
       "L 43.646069 174.079219 \n",
       "L 44.34302 163.207219 \n",
       "L 46.843125 152.335219 \n",
       "L 46.843125 152.335219 \n",
       "L 53.827431 141.463219 \n",
       "L 63.583125 135.127263 \n",
       "L 80.323125 130.591219 \n",
       "L 80.323125 130.591219 \n",
       "L 97.063125 128.967494 \n",
       "L 113.803125 128.514852 \n",
       "L 130.543125 128.967494 \n",
       "L 147.283125 130.591219 \n",
       "L 147.283125 130.591219 \n",
       "L 164.023125 135.127263 \n",
       "L 173.778819 141.463219 \n",
       "L 180.763125 152.335219 \n",
       "L 180.763125 152.335219 \n",
       "L 183.26323 163.207219 \n",
       "L 183.960181 174.079219 \n",
       "L 183.26323 184.951219 \n",
       "L 180.763125 195.823219 \n",
       "L 180.763125 195.823219 \n",
       "L 173.778819 206.695219 \n",
       "L 164.023125 213.031175 \n",
       "L 147.283125 217.567219 \n",
       "L 147.283125 217.567219 \n",
       "L 130.543125 219.190943 \n",
       "L 113.803125 219.643586 \n",
       "L 97.063125 219.190943 \n",
       "z\n",
       "M 247.723125 108.847219 \n",
       "L 230.983125 104.311175 \n",
       "L 221.227431 97.975219 \n",
       "L 214.243125 87.103219 \n",
       "L 214.243125 87.103219 \n",
       "L 211.74302 76.231219 \n",
       "L 211.046069 65.359219 \n",
       "L 211.74302 54.487219 \n",
       "L 214.243125 43.615219 \n",
       "L 221.227431 32.743219 \n",
       "L 230.983125 26.407263 \n",
       "L 247.723125 21.871219 \n",
       "L 247.723125 21.871219 \n",
       "L 264.463125 20.247494 \n",
       "L 281.203125 19.794852 \n",
       "L 297.943125 20.247494 \n",
       "L 314.683125 21.871219 \n",
       "L 331.423125 26.407263 \n",
       "L 341.178819 32.743219 \n",
       "L 348.163125 43.615219 \n",
       "L 350.66323 54.487219 \n",
       "L 351.360181 65.359219 \n",
       "L 350.66323 76.231219 \n",
       "L 348.163125 87.103219 \n",
       "L 348.163125 87.103219 \n",
       "L 341.178819 97.975219 \n",
       "L 331.423125 104.311175 \n",
       "L 314.683125 108.847219 \n",
       "L 297.943125 110.470943 \n",
       "L 281.203125 110.923586 \n",
       "L 264.463125 110.470943 \n",
       "L 247.723125 108.847219 \n",
       "z\n",
       "\" style=\"fill:#1fa088;\"/>\n",
       "   </g>\n",
       "   <g id=\"PathCollection_6\">\n",
       "    <path clip-path=\"url(#p94437bc12a)\" d=\"M 97.063125 219.190943 \n",
       "L 113.803125 219.643586 \n",
       "L 130.543125 219.190943 \n",
       "L 147.283125 217.567219 \n",
       "L 147.283125 217.567219 \n",
       "L 164.023125 213.031175 \n",
       "L 173.778819 206.695219 \n",
       "L 180.763125 195.823219 \n",
       "L 180.763125 195.823219 \n",
       "L 183.26323 184.951219 \n",
       "L 183.960181 174.079219 \n",
       "L 183.26323 163.207219 \n",
       "L 180.763125 152.335219 \n",
       "L 180.763125 152.335219 \n",
       "L 173.778819 141.463219 \n",
       "L 164.023125 135.127263 \n",
       "L 147.283125 130.591219 \n",
       "L 147.283125 130.591219 \n",
       "L 130.543125 128.967494 \n",
       "L 113.803125 128.514852 \n",
       "L 97.063125 128.967494 \n",
       "L 80.323125 130.591219 \n",
       "L 80.323125 130.591219 \n",
       "L 63.583125 135.127263 \n",
       "L 53.827431 141.463219 \n",
       "L 46.843125 152.335219 \n",
       "L 46.843125 152.335219 \n",
       "L 44.34302 163.207219 \n",
       "L 43.646069 174.079219 \n",
       "L 44.34302 184.951219 \n",
       "L 46.843125 195.823219 \n",
       "L 46.843125 195.823219 \n",
       "L 53.827431 206.695219 \n",
       "L 63.583125 213.031175 \n",
       "L 80.323125 217.567219 \n",
       "L 80.323125 217.567219 \n",
       "z\n",
       "M 85.229858 206.695219 \n",
       "L 80.323125 205.208704 \n",
       "L 65.871964 195.823219 \n",
       "L 63.583125 192.63648 \n",
       "L 59.856781 184.951219 \n",
       "L 58.311631 174.079219 \n",
       "L 59.856781 163.207219 \n",
       "L 63.583125 155.521957 \n",
       "L 65.871964 152.335219 \n",
       "L 80.323125 142.949734 \n",
       "L 85.229858 141.463219 \n",
       "L 97.063125 139.043099 \n",
       "L 113.803125 138.039582 \n",
       "L 130.543125 139.043099 \n",
       "L 142.376392 141.463219 \n",
       "L 147.283125 142.949734 \n",
       "L 161.734286 152.335219 \n",
       "L 164.023125 155.521957 \n",
       "L 167.749469 163.207219 \n",
       "L 169.294619 174.079219 \n",
       "L 167.749469 184.951219 \n",
       "L 164.023125 192.63648 \n",
       "L 161.734286 195.823219 \n",
       "L 147.283125 205.208704 \n",
       "L 142.376392 206.695219 \n",
       "L 130.543125 209.115339 \n",
       "L 113.803125 210.118856 \n",
       "L 97.063125 209.115339 \n",
       "z\n",
       "\" style=\"fill:#3fbc73;\"/>\n",
       "    <path clip-path=\"url(#p94437bc12a)\" d=\"M 247.723125 108.847219 \n",
       "L 264.463125 110.470943 \n",
       "L 281.203125 110.923586 \n",
       "L 297.943125 110.470943 \n",
       "L 314.683125 108.847219 \n",
       "L 331.423125 104.311175 \n",
       "L 341.178819 97.975219 \n",
       "L 348.163125 87.103219 \n",
       "L 348.163125 87.103219 \n",
       "L 350.66323 76.231219 \n",
       "L 351.360181 65.359219 \n",
       "L 350.66323 54.487219 \n",
       "L 348.163125 43.615219 \n",
       "L 348.163125 43.615219 \n",
       "L 341.178819 32.743219 \n",
       "L 331.423125 26.407263 \n",
       "L 314.683125 21.871219 \n",
       "L 314.683125 21.871219 \n",
       "L 297.943125 20.247494 \n",
       "L 281.203125 19.794852 \n",
       "L 264.463125 20.247494 \n",
       "L 247.723125 21.871219 \n",
       "L 247.723125 21.871219 \n",
       "L 230.983125 26.407263 \n",
       "L 221.227431 32.743219 \n",
       "L 214.243125 43.615219 \n",
       "L 211.74302 54.487219 \n",
       "L 211.046069 65.359219 \n",
       "L 211.74302 76.231219 \n",
       "L 214.243125 87.103219 \n",
       "L 214.243125 87.103219 \n",
       "L 221.227431 97.975219 \n",
       "L 230.983125 104.311175 \n",
       "L 247.723125 108.847219 \n",
       "z\n",
       "M 252.629858 97.975219 \n",
       "L 247.723125 96.488704 \n",
       "L 233.271964 87.103219 \n",
       "L 230.983125 83.91648 \n",
       "L 227.256781 76.231219 \n",
       "L 225.711631 65.359219 \n",
       "L 227.256781 54.487219 \n",
       "L 230.983125 46.801957 \n",
       "L 233.271964 43.615219 \n",
       "L 247.723125 34.229734 \n",
       "L 252.629858 32.743219 \n",
       "L 264.463125 30.323099 \n",
       "L 281.203125 29.319582 \n",
       "L 297.943125 30.323099 \n",
       "L 309.776392 32.743219 \n",
       "L 314.683125 34.229734 \n",
       "L 329.134286 43.615219 \n",
       "L 331.423125 46.801957 \n",
       "L 335.149469 54.487219 \n",
       "L 336.694619 65.359219 \n",
       "L 335.149469 76.231219 \n",
       "L 331.423125 83.91648 \n",
       "L 329.134286 87.103219 \n",
       "L 314.683125 96.488704 \n",
       "L 309.776392 97.975219 \n",
       "L 297.943125 100.395339 \n",
       "L 281.203125 101.398856 \n",
       "L 264.463125 100.395339 \n",
       "z\n",
       "\" style=\"fill:#3fbc73;\"/>\n",
       "   </g>\n",
       "   <g id=\"PathCollection_7\">\n",
       "    <path clip-path=\"url(#p94437bc12a)\" d=\"M 97.063125 209.115339 \n",
       "L 113.803125 210.118856 \n",
       "L 130.543125 209.115339 \n",
       "L 142.376392 206.695219 \n",
       "L 147.283125 205.208704 \n",
       "L 161.734286 195.823219 \n",
       "L 164.023125 192.63648 \n",
       "L 167.749469 184.951219 \n",
       "L 169.294619 174.079219 \n",
       "L 167.749469 163.207219 \n",
       "L 164.023125 155.521957 \n",
       "L 161.734286 152.335219 \n",
       "L 147.283125 142.949734 \n",
       "L 142.376392 141.463219 \n",
       "L 130.543125 139.043099 \n",
       "L 113.803125 138.039582 \n",
       "L 97.063125 139.043099 \n",
       "L 85.229858 141.463219 \n",
       "L 80.323125 142.949734 \n",
       "L 65.871964 152.335219 \n",
       "L 63.583125 155.521957 \n",
       "L 59.856781 163.207219 \n",
       "L 58.311631 174.079219 \n",
       "L 59.856781 184.951219 \n",
       "L 63.583125 192.63648 \n",
       "L 65.871964 195.823219 \n",
       "L 80.323125 205.208704 \n",
       "L 85.229858 206.695219 \n",
       "z\n",
       "M 94.233964 195.823219 \n",
       "L 80.323125 186.788652 \n",
       "L 78.777975 184.951219 \n",
       "L 75.857471 174.079219 \n",
       "L 78.777975 163.207219 \n",
       "L 80.323125 161.369785 \n",
       "L 94.233964 152.335219 \n",
       "L 97.063125 151.331702 \n",
       "L 113.803125 149.434944 \n",
       "L 130.543125 151.331702 \n",
       "L 133.372286 152.335219 \n",
       "L 147.283125 161.369785 \n",
       "L 148.828275 163.207219 \n",
       "L 151.748779 174.079219 \n",
       "L 148.828275 184.951219 \n",
       "L 147.283125 186.788652 \n",
       "L 133.372286 195.823219 \n",
       "L 130.543125 196.826736 \n",
       "L 113.803125 198.723493 \n",
       "L 97.063125 196.826736 \n",
       "z\n",
       "\" style=\"fill:#84d44b;\"/>\n",
       "    <path clip-path=\"url(#p94437bc12a)\" d=\"M 264.463125 100.395339 \n",
       "L 281.203125 101.398856 \n",
       "L 297.943125 100.395339 \n",
       "L 309.776392 97.975219 \n",
       "L 314.683125 96.488704 \n",
       "L 329.134286 87.103219 \n",
       "L 331.423125 83.91648 \n",
       "L 335.149469 76.231219 \n",
       "L 336.694619 65.359219 \n",
       "L 335.149469 54.487219 \n",
       "L 331.423125 46.801957 \n",
       "L 329.134286 43.615219 \n",
       "L 314.683125 34.229734 \n",
       "L 309.776392 32.743219 \n",
       "L 297.943125 30.323099 \n",
       "L 281.203125 29.319582 \n",
       "L 264.463125 30.323099 \n",
       "L 252.629858 32.743219 \n",
       "L 247.723125 34.229734 \n",
       "L 233.271964 43.615219 \n",
       "L 230.983125 46.801957 \n",
       "L 227.256781 54.487219 \n",
       "L 225.711631 65.359219 \n",
       "L 227.256781 76.231219 \n",
       "L 230.983125 83.91648 \n",
       "L 233.271964 87.103219 \n",
       "L 247.723125 96.488704 \n",
       "L 252.629858 97.975219 \n",
       "z\n",
       "M 261.633964 87.103219 \n",
       "L 247.723125 78.068652 \n",
       "L 246.177975 76.231219 \n",
       "L 243.257471 65.359219 \n",
       "L 246.177975 54.487219 \n",
       "L 247.723125 52.649785 \n",
       "L 261.633964 43.615219 \n",
       "L 264.463125 42.611702 \n",
       "L 281.203125 40.714944 \n",
       "L 297.943125 42.611702 \n",
       "L 300.772286 43.615219 \n",
       "L 314.683125 52.649785 \n",
       "L 316.228275 54.487219 \n",
       "L 319.148779 65.359219 \n",
       "L 316.228275 76.231219 \n",
       "L 314.683125 78.068652 \n",
       "L 300.772286 87.103219 \n",
       "L 297.943125 88.106736 \n",
       "L 281.203125 90.003493 \n",
       "L 264.463125 88.106736 \n",
       "z\n",
       "\" style=\"fill:#84d44b;\"/>\n",
       "   </g>\n",
       "   <g id=\"PathCollection_8\">\n",
       "    <path clip-path=\"url(#p94437bc12a)\" d=\"M 97.063125 196.826736 \n",
       "L 113.803125 198.723493 \n",
       "L 130.543125 196.826736 \n",
       "L 133.372286 195.823219 \n",
       "L 147.283125 186.788652 \n",
       "L 148.828275 184.951219 \n",
       "L 151.748779 174.079219 \n",
       "L 148.828275 163.207219 \n",
       "L 147.283125 161.369785 \n",
       "L 133.372286 152.335219 \n",
       "L 130.543125 151.331702 \n",
       "L 113.803125 149.434944 \n",
       "L 97.063125 151.331702 \n",
       "L 94.233964 152.335219 \n",
       "L 80.323125 161.369785 \n",
       "L 78.777975 163.207219 \n",
       "L 75.857471 174.079219 \n",
       "L 78.777975 184.951219 \n",
       "L 80.323125 186.788652 \n",
       "L 94.233964 195.823219 \n",
       "z\n",
       "\" style=\"fill:#d8e219;\"/>\n",
       "    <path clip-path=\"url(#p94437bc12a)\" d=\"M 264.463125 88.106736 \n",
       "L 281.203125 90.003493 \n",
       "L 297.943125 88.106736 \n",
       "L 300.772286 87.103219 \n",
       "L 314.683125 78.068652 \n",
       "L 316.228275 76.231219 \n",
       "L 319.148779 65.359219 \n",
       "L 316.228275 54.487219 \n",
       "L 314.683125 52.649785 \n",
       "L 300.772286 43.615219 \n",
       "L 297.943125 42.611702 \n",
       "L 281.203125 40.714944 \n",
       "L 264.463125 42.611702 \n",
       "L 261.633964 43.615219 \n",
       "L 247.723125 52.649785 \n",
       "L 246.177975 54.487219 \n",
       "L 243.257471 65.359219 \n",
       "L 246.177975 76.231219 \n",
       "L 247.723125 78.068652 \n",
       "L 261.633964 87.103219 \n",
       "z\n",
       "\" style=\"fill:#d8e219;\"/>\n",
       "   </g>\n",
       "   <g id=\"matplotlib.axis_1\">\n",
       "    <g id=\"xtick_1\">\n",
       "     <g id=\"line2d_1\">\n",
       "      <defs>\n",
       "       <path d=\"M 0 0 \n",
       "L 0 3.5 \n",
       "\" id=\"mf568835366\" style=\"stroke:#000000;stroke-width:0.8;\"/>\n",
       "      </defs>\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"30.103125\" xlink:href=\"#mf568835366\" y=\"228.439219\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_1\">\n",
       "      <!-- 0.0 -->\n",
       "      <defs>\n",
       "       <path d=\"M 31.78125 66.40625 \n",
       "Q 24.171875 66.40625 20.328125 58.90625 \n",
       "Q 16.5 51.421875 16.5 36.375 \n",
       "Q 16.5 21.390625 20.328125 13.890625 \n",
       "Q 24.171875 6.390625 31.78125 6.390625 \n",
       "Q 39.453125 6.390625 43.28125 13.890625 \n",
       "Q 47.125 21.390625 47.125 36.375 \n",
       "Q 47.125 51.421875 43.28125 58.90625 \n",
       "Q 39.453125 66.40625 31.78125 66.40625 \n",
       "z\n",
       "M 31.78125 74.21875 \n",
       "Q 44.046875 74.21875 50.515625 64.515625 \n",
       "Q 56.984375 54.828125 56.984375 36.375 \n",
       "Q 56.984375 17.96875 50.515625 8.265625 \n",
       "Q 44.046875 -1.421875 31.78125 -1.421875 \n",
       "Q 19.53125 -1.421875 13.0625 8.265625 \n",
       "Q 6.59375 17.96875 6.59375 36.375 \n",
       "Q 6.59375 54.828125 13.0625 64.515625 \n",
       "Q 19.53125 74.21875 31.78125 74.21875 \n",
       "z\n",
       "\" id=\"DejaVuSans-30\"/>\n",
       "       <path d=\"M 10.6875 12.40625 \n",
       "L 21 12.40625 \n",
       "L 21 0 \n",
       "L 10.6875 0 \n",
       "z\n",
       "\" id=\"DejaVuSans-2e\"/>\n",
       "      </defs>\n",
       "      <g transform=\"translate(22.151563 243.037656)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#DejaVuSans-30\"/>\n",
       "       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-2e\"/>\n",
       "       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-30\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_2\">\n",
       "     <g id=\"line2d_2\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"97.063125\" xlink:href=\"#mf568835366\" y=\"228.439219\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_2\">\n",
       "      <!-- 0.2 -->\n",
       "      <defs>\n",
       "       <path d=\"M 19.1875 8.296875 \n",
       "L 53.609375 8.296875 \n",
       "L 53.609375 0 \n",
       "L 7.328125 0 \n",
       "L 7.328125 8.296875 \n",
       "Q 12.9375 14.109375 22.625 23.890625 \n",
       "Q 32.328125 33.6875 34.8125 36.53125 \n",
       "Q 39.546875 41.84375 41.421875 45.53125 \n",
       "Q 43.3125 49.21875 43.3125 52.78125 \n",
       "Q 43.3125 58.59375 39.234375 62.25 \n",
       "Q 35.15625 65.921875 28.609375 65.921875 \n",
       "Q 23.96875 65.921875 18.8125 64.3125 \n",
       "Q 13.671875 62.703125 7.8125 59.421875 \n",
       "L 7.8125 69.390625 \n",
       "Q 13.765625 71.78125 18.9375 73 \n",
       "Q 24.125 74.21875 28.421875 74.21875 \n",
       "Q 39.75 74.21875 46.484375 68.546875 \n",
       "Q 53.21875 62.890625 53.21875 53.421875 \n",
       "Q 53.21875 48.921875 51.53125 44.890625 \n",
       "Q 49.859375 40.875 45.40625 35.40625 \n",
       "Q 44.1875 33.984375 37.640625 27.21875 \n",
       "Q 31.109375 20.453125 19.1875 8.296875 \n",
       "z\n",
       "\" id=\"DejaVuSans-32\"/>\n",
       "      </defs>\n",
       "      <g transform=\"translate(89.111563 243.037656)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#DejaVuSans-30\"/>\n",
       "       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-2e\"/>\n",
       "       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-32\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_3\">\n",
       "     <g id=\"line2d_3\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"164.023125\" xlink:href=\"#mf568835366\" y=\"228.439219\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_3\">\n",
       "      <!-- 0.4 -->\n",
       "      <defs>\n",
       "       <path d=\"M 37.796875 64.3125 \n",
       "L 12.890625 25.390625 \n",
       "L 37.796875 25.390625 \n",
       "z\n",
       "M 35.203125 72.90625 \n",
       "L 47.609375 72.90625 \n",
       "L 47.609375 25.390625 \n",
       "L 58.015625 25.390625 \n",
       "L 58.015625 17.1875 \n",
       "L 47.609375 17.1875 \n",
       "L 47.609375 0 \n",
       "L 37.796875 0 \n",
       "L 37.796875 17.1875 \n",
       "L 4.890625 17.1875 \n",
       "L 4.890625 26.703125 \n",
       "z\n",
       "\" id=\"DejaVuSans-34\"/>\n",
       "      </defs>\n",
       "      <g transform=\"translate(156.071563 243.037656)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#DejaVuSans-30\"/>\n",
       "       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-2e\"/>\n",
       "       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-34\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_4\">\n",
       "     <g id=\"line2d_4\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"230.983125\" xlink:href=\"#mf568835366\" y=\"228.439219\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_4\">\n",
       "      <!-- 0.6 -->\n",
       "      <defs>\n",
       "       <path d=\"M 33.015625 40.375 \n",
       "Q 26.375 40.375 22.484375 35.828125 \n",
       "Q 18.609375 31.296875 18.609375 23.390625 \n",
       "Q 18.609375 15.53125 22.484375 10.953125 \n",
       "Q 26.375 6.390625 33.015625 6.390625 \n",
       "Q 39.65625 6.390625 43.53125 10.953125 \n",
       "Q 47.40625 15.53125 47.40625 23.390625 \n",
       "Q 47.40625 31.296875 43.53125 35.828125 \n",
       "Q 39.65625 40.375 33.015625 40.375 \n",
       "z\n",
       "M 52.59375 71.296875 \n",
       "L 52.59375 62.3125 \n",
       "Q 48.875 64.0625 45.09375 64.984375 \n",
       "Q 41.3125 65.921875 37.59375 65.921875 \n",
       "Q 27.828125 65.921875 22.671875 59.328125 \n",
       "Q 17.53125 52.734375 16.796875 39.40625 \n",
       "Q 19.671875 43.65625 24.015625 45.921875 \n",
       "Q 28.375 48.1875 33.59375 48.1875 \n",
       "Q 44.578125 48.1875 50.953125 41.515625 \n",
       "Q 57.328125 34.859375 57.328125 23.390625 \n",
       "Q 57.328125 12.15625 50.6875 5.359375 \n",
       "Q 44.046875 -1.421875 33.015625 -1.421875 \n",
       "Q 20.359375 -1.421875 13.671875 8.265625 \n",
       "Q 6.984375 17.96875 6.984375 36.375 \n",
       "Q 6.984375 53.65625 15.1875 63.9375 \n",
       "Q 23.390625 74.21875 37.203125 74.21875 \n",
       "Q 40.921875 74.21875 44.703125 73.484375 \n",
       "Q 48.484375 72.75 52.59375 71.296875 \n",
       "z\n",
       "\" id=\"DejaVuSans-36\"/>\n",
       "      </defs>\n",
       "      <g transform=\"translate(223.031563 243.037656)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#DejaVuSans-30\"/>\n",
       "       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-2e\"/>\n",
       "       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-36\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_5\">\n",
       "     <g id=\"line2d_5\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"297.943125\" xlink:href=\"#mf568835366\" y=\"228.439219\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_5\">\n",
       "      <!-- 0.8 -->\n",
       "      <defs>\n",
       "       <path d=\"M 31.78125 34.625 \n",
       "Q 24.75 34.625 20.71875 30.859375 \n",
       "Q 16.703125 27.09375 16.703125 20.515625 \n",
       "Q 16.703125 13.921875 20.71875 10.15625 \n",
       "Q 24.75 6.390625 31.78125 6.390625 \n",
       "Q 38.8125 6.390625 42.859375 10.171875 \n",
       "Q 46.921875 13.96875 46.921875 20.515625 \n",
       "Q 46.921875 27.09375 42.890625 30.859375 \n",
       "Q 38.875 34.625 31.78125 34.625 \n",
       "z\n",
       "M 21.921875 38.8125 \n",
       "Q 15.578125 40.375 12.03125 44.71875 \n",
       "Q 8.5 49.078125 8.5 55.328125 \n",
       "Q 8.5 64.0625 14.71875 69.140625 \n",
       "Q 20.953125 74.21875 31.78125 74.21875 \n",
       "Q 42.671875 74.21875 48.875 69.140625 \n",
       "Q 55.078125 64.0625 55.078125 55.328125 \n",
       "Q 55.078125 49.078125 51.53125 44.71875 \n",
       "Q 48 40.375 41.703125 38.8125 \n",
       "Q 48.828125 37.15625 52.796875 32.3125 \n",
       "Q 56.78125 27.484375 56.78125 20.515625 \n",
       "Q 56.78125 9.90625 50.3125 4.234375 \n",
       "Q 43.84375 -1.421875 31.78125 -1.421875 \n",
       "Q 19.734375 -1.421875 13.25 4.234375 \n",
       "Q 6.78125 9.90625 6.78125 20.515625 \n",
       "Q 6.78125 27.484375 10.78125 32.3125 \n",
       "Q 14.796875 37.15625 21.921875 38.8125 \n",
       "z\n",
       "M 18.3125 54.390625 \n",
       "Q 18.3125 48.734375 21.84375 45.5625 \n",
       "Q 25.390625 42.390625 31.78125 42.390625 \n",
       "Q 38.140625 42.390625 41.71875 45.5625 \n",
       "Q 45.3125 48.734375 45.3125 54.390625 \n",
       "Q 45.3125 60.0625 41.71875 63.234375 \n",
       "Q 38.140625 66.40625 31.78125 66.40625 \n",
       "Q 25.390625 66.40625 21.84375 63.234375 \n",
       "Q 18.3125 60.0625 18.3125 54.390625 \n",
       "z\n",
       "\" id=\"DejaVuSans-38\"/>\n",
       "      </defs>\n",
       "      <g transform=\"translate(289.991563 243.037656)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#DejaVuSans-30\"/>\n",
       "       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-2e\"/>\n",
       "       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-38\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_6\">\n",
       "     <g id=\"line2d_6\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"364.903125\" xlink:href=\"#mf568835366\" y=\"228.439219\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_6\">\n",
       "      <!-- 1.0 -->\n",
       "      <defs>\n",
       "       <path d=\"M 12.40625 8.296875 \n",
       "L 28.515625 8.296875 \n",
       "L 28.515625 63.921875 \n",
       "L 10.984375 60.40625 \n",
       "L 10.984375 69.390625 \n",
       "L 28.421875 72.90625 \n",
       "L 38.28125 72.90625 \n",
       "L 38.28125 8.296875 \n",
       "L 54.390625 8.296875 \n",
       "L 54.390625 0 \n",
       "L 12.40625 0 \n",
       "z\n",
       "\" id=\"DejaVuSans-31\"/>\n",
       "      </defs>\n",
       "      <g transform=\"translate(356.951563 243.037656)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#DejaVuSans-31\"/>\n",
       "       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-2e\"/>\n",
       "       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-30\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"matplotlib.axis_2\">\n",
       "    <g id=\"ytick_1\">\n",
       "     <g id=\"line2d_7\">\n",
       "      <defs>\n",
       "       <path d=\"M 0 0 \n",
       "L -3.5 0 \n",
       "\" id=\"m6bdbcace8a\" style=\"stroke:#000000;stroke-width:0.8;\"/>\n",
       "      </defs>\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"30.103125\" xlink:href=\"#m6bdbcace8a\" y=\"228.439219\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_7\">\n",
       "      <!-- 0.0 -->\n",
       "      <g transform=\"translate(7.2 232.238437)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#DejaVuSans-30\"/>\n",
       "       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-2e\"/>\n",
       "       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-30\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_2\">\n",
       "     <g id=\"line2d_8\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"30.103125\" xlink:href=\"#m6bdbcace8a\" y=\"184.951219\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_8\">\n",
       "      <!-- 0.2 -->\n",
       "      <g transform=\"translate(7.2 188.750437)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#DejaVuSans-30\"/>\n",
       "       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-2e\"/>\n",
       "       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-32\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_3\">\n",
       "     <g id=\"line2d_9\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"30.103125\" xlink:href=\"#m6bdbcace8a\" y=\"141.463219\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_9\">\n",
       "      <!-- 0.4 -->\n",
       "      <g transform=\"translate(7.2 145.262437)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#DejaVuSans-30\"/>\n",
       "       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-2e\"/>\n",
       "       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-34\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_4\">\n",
       "     <g id=\"line2d_10\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"30.103125\" xlink:href=\"#m6bdbcace8a\" y=\"97.975219\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_10\">\n",
       "      <!-- 0.6 -->\n",
       "      <g transform=\"translate(7.2 101.774437)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#DejaVuSans-30\"/>\n",
       "       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-2e\"/>\n",
       "       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-36\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_5\">\n",
       "     <g id=\"line2d_11\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"30.103125\" xlink:href=\"#m6bdbcace8a\" y=\"54.487219\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_11\">\n",
       "      <!-- 0.8 -->\n",
       "      <g transform=\"translate(7.2 58.286437)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#DejaVuSans-30\"/>\n",
       "       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-2e\"/>\n",
       "       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-38\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_6\">\n",
       "     <g id=\"line2d_12\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"30.103125\" xlink:href=\"#m6bdbcace8a\" y=\"10.999219\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_12\">\n",
       "      <!-- 1.0 -->\n",
       "      <g transform=\"translate(7.2 14.798437)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#DejaVuSans-31\"/>\n",
       "       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-2e\"/>\n",
       "       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-30\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"patch_3\">\n",
       "    <path d=\"M 30.103125 228.439219 \n",
       "L 30.103125 10.999219 \n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_4\">\n",
       "    <path d=\"M 364.903125 228.439219 \n",
       "L 364.903125 10.999219 \n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_5\">\n",
       "    <path d=\"M 30.103125 228.439219 \n",
       "L 364.903125 228.439219 \n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_6\">\n",
       "    <path d=\"M 30.103125 10.999219 \n",
       "L 364.903125 10.999219 \n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\n",
       "   </g>\n",
       "  </g>\n",
       " </g>\n",
       " <defs>\n",
       "  <clipPath id=\"p94437bc12a\">\n",
       "   <rect height=\"217.44\" width=\"334.8\" x=\"30.103125\" y=\"10.999219\"/>\n",
       "  </clipPath>\n",
       " </defs>\n",
       "</svg>\n"
      ],
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "ω0 = 2.0*np.pi\n",
    "u0 = lambda x,y : np.sin(ω0*x) * np.sin(ω0*y)\n",
    "# plot the initial condition\n",
    "plt.contourf(xx,yy,u0(xx,yy))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [],
   "source": [
    "cx = 1.0\n",
    "cy = 1.0\n",
    "\n",
    "dt = 0.001\n",
    "tend = 0.5 #s\n",
    "t = 0\n",
    "\n",
    "cflx = cx * dt/dx\n",
    "cfly = cy * dt/dy\n",
    "\n",
    "# setup the initial condition\n",
    "sol = []\n",
    "u = np.zeros([ny+2,nx+2]) # we will ghost cells to simplify the implementation of periodic BCs\n",
    "u[1:-1, 1:-1] = u0(xx,yy)\n",
    "# set periodic boundaries\n",
    "u[:,0] = u[:,-3] #x-minus face\n",
    "u[:,-1] = u[:,2] #x-plus face\n",
    "u[0,:] = u[-3,:] #y-minus face\n",
    "u[-1,:] = u[2,:] #y-plus face\n",
    "sol.append(u)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [],
   "source": [
    "while t < tend:\n",
    "    un = sol[-1]\n",
    "    unew = un.copy()\n",
    "    unew[1:-1,1:-1] = un[1:-1,1:-1] - cflx * (un[1:-1,1:-1] - un[1:-1,:-2]) - cfly * (un[1:-1,1:-1] - un[:-2,1:-1])\n",
    "    # set periodic boundaries\n",
    "    unew[:,0] = unew[:,-3] #x-minus face\n",
    "    unew[:,-1] = unew[:,2] #x-plus face\n",
    "    unew[0,:] = unew[-3,:] #y-minus face\n",
    "    unew[-1,:] = unew[2,:] #y-plus face\n",
    "\n",
    "    sol.append(unew)\n",
    "    t += dt"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<video width=\"438\" height=\"360\" controls autoplay loop>\n",
       "  <source type=\"video/mp4\" src=\"data:video/mp4;base64,AAAAHGZ0eXBNNFYgAAACAGlzb21pc28yYXZjMQAAAAhmcmVlAAEKUm1kYXQAAAKgBgX//5zcRem9\n",
       "5tlIt5Ys2CDZI+7veDI2NCAtIGNvcmUgMTQ4IC0gSC4yNjQvTVBFRy00IEFWQyBjb2RlYyAtIENv\n",
       "cHlsZWZ0IDIwMDMtMjAxNiAtIGh0dHA6Ly93d3cudmlkZW9sYW4ub3JnL3gyNjQuaHRtbCAtIG9w\n",
       "dGlvbnM6IGNhYmFjPTEgcmVmPTMgZGVibG9jaz0xOjA6MCBhbmFseXNlPTB4MzoweDExMyBtZT1o\n",
       "ZXggc3VibWU9NyBwc3k9MSBwc3lfcmQ9MS4wMDowLjAwIG1peGVkX3JlZj0xIG1lX3JhbmdlPTE2\n",
       "IGNocm9tYV9tZT0xIHRyZWxsaXM9MSA4eDhkY3Q9MSBjcW09MCBkZWFkem9uZT0yMSwxMSBmYXN0\n",
       "X3Bza2lwPTEgY2hyb21hX3FwX29mZnNldD0tMiB0aHJlYWRzPTYgbG9va2FoZWFkX3RocmVhZHM9\n",
       "MSBzbGljZWRfdGhyZWFkcz0wIG5yPTAgZGVjaW1hdGU9MSBpbnRlcmxhY2VkPTAgYmx1cmF5X2Nv\n",
       "bXBhdD0wIGNvbnN0cmFpbmVkX2ludHJhPTAgYmZyYW1lcz0zIGJfcHlyYW1pZD0yIGJfYWRhcHQ9\n",
       "MSBiX2JpYXM9MCBkaXJlY3Q9MSB3ZWlnaHRiPTEgb3Blbl9nb3A9MCB3ZWlnaHRwPTIga2V5aW50\n",
       "PTI1MCBrZXlpbnRfbWluPTI1IHNjZW5lY3V0PTQwIGludHJhX3JlZnJlc2g9MCByY19sb29rYWhl\n",
       "YWQ9NDAgcmM9Y3JmIG1idHJlZT0xIGNyZj0yMy4wIHFjb21wPTAuNjAgcXBtaW49MCBxcG1heD02\n",
       "OSBxcHN0ZXA9NCBpcF9yYXRpbz0xLjQwIGFxPTE6MS4wMACAAAAkxWWIhAA7//73Tr8Cm0WXagOS\n",
       "Vwr2yqQmWblSawHypgAAAwAAAwPHVbXe5w6CjmAAAC0JPkmNlscXAAchf8upxy8js3xiBrgAvFnQ\n",
       "COaS1jIgbTKg9cNdujAzqwz3aYiFRTED0rw8//VK1jvMoi0ITWfHqvWSmCiGJYpBwuz3Va+1LEZI\n",
       "nQbED3XMwt72rVRP6XG9u3+IfhM2Jxgyr/twm1Jym4/rHbawJkYando+71MK+wqnf/NFMFaEs7NV\n",
       "lHOx+reycWf1O0tmFTAUJZS1LWplwSqMvmj0DW0boLcETF/24pTNrf6b+CX+pj3vZsCyHpQ20Lgs\n",
       "1t8924AZ7AlwFwuzT+YTfRhlHhG/nUt1T1FdZrf+ir9bYNGEU1m6N18+dXTlp5fyCP+IUZQZv4Fs\n",
       "paxihtS38UQzNgAg1PUS0tIyz0cGysd2yQpufWcy8afM7cOffsHuLYcstDK2OOnr/PDZaUCk8e1k\n",
       "bjt6M+8Qy9d7GJydZYXWtIL77JhPGU6DR64QCQXzkKdJ/r5Xkbow+0QLgLWkzdehjya6d7IolDqu\n",
       "4vQEKSPjjctdvk1AwQfYfxzIjNXMh0J2NBj7zJe44wMMVZ2V7n6mLiiPojwB7lmZNesH1w6Ld1/A\n",
       "2Uf5OXwjXIHAnDSACJkdL3Zx46nAXeaefbrrl+6SVjdPRCKe9zNNNgmi7CgGwk2fXQlO8AASFpYq\n",
       "b1h0+Eumeh1zzjQICdYTPfYjDnivpm+MXcGWSwJ68Z5742lTSJqtS3D+qDHQV0k8/YqsPZFgg0RG\n",
       "qQUmlfk8tV9y2wCb3M3Y9qP5TGyyWj9keR/NeGIL5ykAU+CYFNw4ozb+T9z0DXvcmq0CHCpErdIs\n",
       "F96y0zqLefJXiHtBTWOEoDAnjoNcAN+YAN3tfBEAeN07ZrwuuunbEdyPuRyDXAx9niZCc6Skmc8C\n",
       "VmPT7xOfLxh+KIoOs1v1elpQqh24ytgw9sANPC0E+bqVWKTOad/aYrTTtysKFLQFHYzdp43xMLaT\n",
       "VgiM7pocIuFpsTwkxVpc1Y0HdZsjcUiNYJwKVABqcpW+xclXyiWb1lWIhkB1ieHl4/dVZgAXzPlh\n",
       "oekGB4GB1gCcnWESRlgVGc6+kPLWZO63MyYSMNHlOwWhLJEX9mMc0k0nLurlMjgiaBO3W3dZeufV\n",
       "nHOc9xBSGxsXAKDvSLdjNUj9KCY+ZTlanUokyjz9PKTowXdeFJULmnbGJHc0BOSkHeHw8LMJzNMJ\n",
       "OUs9KbB9oFUVAQGFalp+f5oLXOb58W86qQXgbHKO7EA9mq8ZBDdj9/qt9Zfa673U5toR2o+0mFn7\n",
       "nF/ErEmyvJNXlhFkLgn6zoNA1TxeF6oL/cyPeDe8h6/VecYmGi2y2XAbZxoYXhIXBN82UoOJ1CEz\n",
       "EsCxrldvuNPBXK71QBGjIXdW7xrulDFRQx3qANT8a3tBHc2tV0Zw/z0t7yGIe63zuoOg745yAddC\n",
       "66QUGFn0jBi8CVrXmOVcMgjNA8j8aqVnguzqIRJsAiAHD0YNttN2DQTCSaXcfaZ+2/ddMttkyBVW\n",
       "eHtJEWDrTfammWxCX1hz4rMVd4Sx7WSLsTYYbuTD11jSRiu0QbCbGJtjLI0d4XaALdzczqF1DPhZ\n",
       "SM/3/UZ2D3npm7vRjot1u4HxrP7FQNaqyLeTHPuuja2Lk08izfbqBB5bhNtmJNWZhgnRjFgdWbOW\n",
       "RX3XTu0LskVupcQJuJwJJEHEh44xh3jt53kMgsyHQ2jHbZEza1SJn0Ur45s95XC3GgiDJ2B88gxo\n",
       "7G9NzZGuMcbYZcAaIDkiKydAfGrLwT796e+RnUcdd1o085YlbPFCELZi2u/PG2R/Ne7zns+fp0nU\n",
       "k1oN5fxeSj7QQqpGM/PzoMs0HvCeRtoyKrrG7F+DuttOIIZh0oT/xAXaNaWC56fqQ1SifMhrObmm\n",
       "106eC+Ck/8WuFkJ85OMuXNDQmxN9TGtVGI6AiHzb3Ed2ok3e+IVFvgenK4WcrL4LjUcJ/Jtv4Lin\n",
       "HEcS+ZVkLSxzbZzk4PjxyYGHkp0YZL6ZVSwPw5679DqGV2lCZTB34GFHDJgfXhG8fGPaiSKhv1ep\n",
       "yIlN3vI+vrJTrURwAW1SFKzlF2UNtVbDcPEKMyPNzER/jEyY+uw2s7kBmVjE8eCPCWPK9ni1XEjW\n",
       "YHtM37lYzu6eLQHJYnjUXXjnahwOHylAkOg05IZVRzsd1SrzRhLdFiZl9IdFMPha4FKr4USEX7g6\n",
       "bO6rD6cAk+hBfADsPeD1vnbwxrA9GcyGsZYhLGik+Su+Lj3TGYzvX/jvPlfbBj6mUymNjpXFVO5C\n",
       "CFtZuqnTkATXh4oVt57i9oTStH3QE7gyuywxSGuuWvHkgqL5R7qB12lXTyisG3c7RS+6Y1WuTcYU\n",
       "brbBiWn8//NCEHWCjWmKAbJBJDdwOA6mHPg1K07LL/2eFggMMGwRjGr+Fn2wb8CyvOnZBvxVAbZ7\n",
       "gZNgx0Y1z2LQs8MHz9kR24l6Lb3K61PQkaMyNe+Ppn+0zKc8vMJfnmwchbbLE6EgOzZX8eDh8zwb\n",
       "vKL4rv/kfuYIxgQf6iNHOm1FhQebkoNBzgBVGhSUHxhhjnjjWijk8lnJkK/Sf4jbCtKRaAwC3vE6\n",
       "MpK/0+VvqsffjF/pDqSUcFpt74qFGe1Uvyb4p3RoiZ1HTR+avY+x5R8vk4iadRCX7l5AntHyFSK4\n",
       "YN1XjKKUcKfvKxdSuXDZgn4AnUMjXcfPFz8jDVegffGzWgr7/qubwRL+S/x4OkArC8nrtWXHK+5Y\n",
       "o3mMPe+IFXZW0WoFzkyxw+wxgLiRCFp0vaoouWskrd+fzSAzEpnnYizWqvMbboX20Nm8LGf4FSHI\n",
       "LKVYeg79vyYWh8YpuBkR3/+hEB8q+DdwCzY9lsaLKpEPXwlKxDKcaESp2Gyw4ZmzPNsmgl9pfl2l\n",
       "EiC2ljCDxoaX6AGgqvdntVDAotngYGKa1pY/eaGilpZBBgqFHGiM0bX0npvmf+teWXaGGmXWjm4c\n",
       "b/hdiqUUgNgXCt4V/2ZgKUeSo8Jdi6vUxaL2dy8csYDaIIbR8SH5dNXw7q2EUKWjYZBlBY/8pcc4\n",
       "V2wVMTCFYeI9yCeSuw4Ob7epTbKAN/1Ihv1IpUdSsYTQOU7uL04BRnrF3UIQRqK7HC9XUksshy9h\n",
       "ZEEBFZM2rk2087lgAAWg1sjVKOZt5SmfE/B9TlduoLPXN2zX7flXRKz2oIQj1uP5akTJgRTERdbQ\n",
       "A7QFEe3yUbzPxI80EE2L01ZLAiKi0dzprgQhkt+b344Us9QFLeGFZ3zroH/stpuVAXWcEWFOxPjO\n",
       "pkpSdMpdzvgd36vcq4LmadtwjTP8HrEfdQVM3G9yyCchyplwFH1J7RUw0idGMeVHo6MOFlIWn0mF\n",
       "px0OdaqycKNNcZRoXFTZ2AfU6Opb9S6F1UjfKnaTgz/u4Z90QJFyRsb73fX1ACk7k5yPFfGtTXro\n",
       "03+Hh9qaa6OMRSLt0l79B8T079LRWrVj666fX8gt62GV3YRppSysZhre+XQ15YaIg69kD9OpA3Jf\n",
       "DSTAgZI/5u2odsjrHUCG1EBzscyo/0VACFJExntrmH6sw3g6hPrybymx1vZgfwFBRuwlv9bdtOYy\n",
       "xmKuAAgIRvQR/G8qTU5vpGSaE2WMsXIpOwcyeNofdRw4k4P4h+WYjC+ZL7A6UDkjlGWnd0W5oSE9\n",
       "3HY/XRPRRMzsQN8dkPpZLD9N4BFkpQ/RUAk2srrGhxFZNh/VysG78emR1mqL3WP/fLnvaZ19DRmK\n",
       "P6I1s2CfmJcY2zU8xTjCbUd8o9cwP+JefVWdgoty8KleThLWieV7wB/Mitdy49TlKhfmu+clwU/6\n",
       "EDMSjfmXWI+fFeaI+GawtyvxAgsbKV+9ybFmni5n40uWwU5hdBrxC53QSEr+hy2yBCKUehq6uhip\n",
       "JFsYXfNS5C6axeBdLbmgaU/d6HGCq4N1FBTW8QS7akwMrV3O6CDe/KvNEOXhi7xuSJWEbfdst+gb\n",
       "4r9k2OLVT7S52hHsr3OCBpjhG00rV+ONT/V78qbT1I4jEHO3wwy2IzObHCTZZbMw9KQ4NKzr9Lha\n",
       "6xPmbksMDL/Ccs0KRliP/fjVcoIMp+0PQeDRcBCM4b/oPgqbtGfi4zrKkMUR6PKWjBz5V6vPTNU/\n",
       "j1SHpvGIJLl8NIIR0naRLhiMqdlKelLwUCBt2HywV34BsdpwfpvR7SHCH7Ni1IP71ChtTOg9vo8D\n",
       "iqIPyp6cQAHDiymOlhUGTS8IsZVbZTm6R1MLm177Z1vnQcF6aYBCRhu4YkN3VlX8w3OL6gcw459o\n",
       "5UHYP3fIjT9BlUcz4g+5l8YNEWh0fX8IAKyk3saFi6K+xsQovg6yczGm7/rpvEP/mkkFiz8sJXpl\n",
       "ukvA0gS6tV1bKENgrbm9Xu2q4fWZDDZHP9ZmP6nHlpRKvDJ2YAhNEy54uos5EdDJJjeQLlUkVkyp\n",
       "BeV/xasbd6ze6aluB+fJCjDrTV6dl13xC/pI4JoYAuUkZtRTAeY8hJE7H1LOOrCcYjMlufIzBv9Z\n",
       "TbqbWMTmxmZTyHkuKryJ5RbcIGMMnINYhliWORlr5pAsAuicXXZzskekSlJuBwBM6BsPhk78jlB9\n",
       "rkzhYPFAO2rVtX4JEAPsyvnTKpSBQfuZqebScj1TmAJVvzoCb8iRxOW5zgIATiLJsl9hkSiHbLno\n",
       "uMVAS5uGUPtuxMDW8Z+97KBhkTdVeusVFiG47ntAfURf957NyzVx5dPCaswVnfsYMRZEM9k2NDZG\n",
       "Uq5W/jBG141qDtQAfU9T1ZHeIVVPnYSZlymCfadu7LWda8DJMfHJv0V+2RCk0cxBhwhSq8TxN7Wq\n",
       "5OnGaCGZbt9Dp7vPOysvFDcNsYLhrHZTQLJ6GHNQKcMJjKXVcd5QBZajhyrmsJawpY2pJoyim7nf\n",
       "6hkY1m2oeJhEOfDKX90P4stkp+EMl9YxETqtYlm9dV01LpHw0QvjMlEq00r4I77w45SBrE8B3Wkw\n",
       "MqVEL0GXN2sn75nNAquPLBe/BwABBHVw/prr/8VzOskLUykcr822v/WQNrDFf5DZxMY+T6w6nQWb\n",
       "jQWnE+mlOasfsPZDMe6vvL0qZP143wZMsjsxCrclVOO3X/W7mto+kNz7HT/qdCxmtyH2HOOjOvQS\n",
       "BLs814P2UjuWUqsd/EtB7gvgQ34a6BEkqU05+K079Hr2JfsJIoXlse1ML5EFJ4BxlyZGJYs7CqhH\n",
       "J3bOddbUx22D3lev91BsXux+7xUHCHs0joLmRM93Ph/GCZn9zi4rtAJ/7wQHSyrnhH2CkJ2n3vXz\n",
       "HkmfuEvCIfCjFzZsuu5qU2HoGa4r2K8NRaoJSgAnold3pFahHsGuGGXnkAdM40N2dCSVKUM+FinU\n",
       "KYlw9LtCFmVqfpoFL6JAvRu/EbfKCokAMnzpzZhF++YdML3LPuvUCum1d94MxuOkPB7pVYOx1uO1\n",
       "hcCX/yhFKisoOi+oooFB0dRScW5wn61UmtBMcRKfAYdVhCPQLfBwDAbjX6KahN8+RU8UQn252EZd\n",
       "2iRHLQtQLH2Rg1bpFHdjBwQBaZZtiz+bL80mBcNgUWKtKA5Y31B0zQIdiySQgVo/pcRVB5WDt7S+\n",
       "P4MTvP7/rLTsxJuCalGZh26AAx3OREQo2cugzPRyF/o/j2YwYDyzTxbVMJ/kUy3InCC9QhLO831b\n",
       "UmLI6gAZi1OG7of3e2QmZFfawXesLsJrtF8ejHPEygRwDCWKVGJWBoLQl7NAmXHPrF0tUktAo/6C\n",
       "SeU5xlBwOeiHhuGh77fMVI+SdOwL8kvV7Yd8FwaU4lQsCO7Q1fqEgbUTJQO3SVtFsBZvI5jprTUC\n",
       "nc0GKPUUYufYvRkhG1kN7ck2biFODoZYqomiTZZwxX/Wy5+HEySzLjqRRn4G/nQk1FEdybVzjGca\n",
       "deTZxpWK0kCMYTtOTKN0WlY58BYM4yqXv1zKRnjoG8inF0KYuzeITqc4JQq1Mw00PBYxVq8zaMWh\n",
       "4Va2KfcCtxYLH1TCKIg3TSOHeSyRiNmIrCa78iqYd1KR7YN1wuKouNp0Niadrz6Et1/6bUVxlb6p\n",
       "0N9KFt49p2864qEM1tkBAjotihW7EWpWNKf4sUiUtDpsdgS9+Knw8jGyp8B6kQOb74D3fj6qY52+\n",
       "pIKYVpvebAtNf0SF8PNr85NHGayLpE7s6VtZOeZ+oRN2XxGSiIsTuimms0tDKgiSUWFoixpefAL1\n",
       "I28OWWGv7Mw+a4x72sAAz6PHAYgkxDhiKuakT/7OrGIWCMuY9SeEwwKbb+z96KEBvy02f0AWYZRU\n",
       "X3kN3XspnWQma83HHNbHHSewru63N5N1EjM66LInnlSvvaYRZ1Bqm82jIKR3M76lsD7l7aVJERuu\n",
       "rEk6OzYNu2SgmVIkH0BRvCOJwWuSETWe1gUpHlvMq0oPuMmGeWDNurBm7MJ2TOBNCizeRHnGuZyZ\n",
       "N8/Gutrhc+XgLkmSHFY19kDDq/KejNrQ8pYzXXjc4JPNfITyXAfidqbrDuGBdn94XK9SMfoiQVoE\n",
       "KF3V3zMWbIQQMfo2D+fiMoogrK5zxSajhdnwemDOL+Mj7IEf+Pt9bpa+k/jc/SvHaPACVhhdvESd\n",
       "afFkkzRo6RMRi9Z6NpPW+ujXKODy8ajWNLrHzKwHPayNsEz298zgwisBcrDBvjN5C2pW2wVYGR32\n",
       "t6Q36GVHcAshQFckrBK0haeIQW5nkE9mdFCOB+8ajp0QRUeN9zVqMjbPnC1nwF7hGug8GHD9haAf\n",
       "TYkJwSrKQwc+gBnSMRyMe356ayPhOowI55rKp20c3EAiKi+N6/mLHbOMlHCDjl+1er5AvEPo7mWM\n",
       "WSTJUIJN8QgfmNklyqNi8qNdqR+MKtT6kCXWNUh97AlWq0sud90Z2N1ebnXciXkzZoyVJAlnvFON\n",
       "8qKDm7s4gdw2MGmAx196khJ5S/Vm7NSMtTIZ5GK0cabM7NQoVkgQjLTdLhRsfbfHAuoRuH7waUf9\n",
       "f4GG+SM4VMytv8XdcjfKkUqx1maY8pgV11smRD+gR+XGngJekw2sSBdpOUJMLOa01/ZRag4VI5Gv\n",
       "6wT8iirppD+HbszfltWtnJZ7I9cKPdt9FwxZAIiiFATxccCqfXl+jFXCNu2bZSlXusa2PIA7nmf2\n",
       "F/xlAELOxJBDjdeX/2ZV8OJfwdbtw8v2tQyP5Md0PFniDSEGwcP4j1pdHvqOzBMwn7ACKzO7qCEq\n",
       "JGxEuuAUz8gGQylrcP0yNedRrd2zR4raSZjrH5Y32Eu22Qf63zd+SqGl1qDwQ7U5aePOUdq1+1Nv\n",
       "hCHgl9kjzGfYH3lPjynKN9uJqaxnbwybcQhtZCkDwXOTrdJbMNl8UI0qhxQTEUynE4ypUNPi7S1r\n",
       "Q+oj4d9bWLH0DkPJSRXNuLmy+WO3doi9bUltrvVSsR/aIwhsNZ37RXdNdL7B504pXBSvEJW3cDrG\n",
       "ZRYwz47rDKpnVrZLWN2vIKofDYZatVr/mMn81Nf4TCIO3SJ8PpcdNNNPmcV0rHY8V0uz7KNuNJuh\n",
       "bPWye8eMyOegS2ct7hpZQB8P9SssHARaQZFbja9N2/1VoQCwhRL3KF2svXt8hEgAku7DE7wCLAul\n",
       "tgyEUvPG1UgyAXD7SyV0BEtY34WkoSaA/xjfaFTVPqh1HPTkMnO+3ydCHJggxDCb3Cd2CsgpKYAo\n",
       "hlzT/nOy8Lz1WeoQnD6uCWgSniOyWAI52Un9IVDdegg6snZ8AdsAj5qqL+TAUqd0rrqg8fQksXV4\n",
       "nYcg3wsUbmsklEtoeMpxQrpMPRd86f3edM0Urdo0znjRjwV0Vz/Oq7/Ge+0ARjsc+dgr2PkSwKKe\n",
       "4lUlL0/JYxbuBYHxUjn+grF0vhimc7ae4/Dmmff2hMYA/6T6OnlyYNNdB7BGf/n4lfj9n6j/ddEa\n",
       "UmOA9wnKD/twAnr3ypwmYJmSa53K43JDBx4uc1nRGdDQRcclRUaV+c+WIakHy7k6JSRrW2vtghL+\n",
       "TGoSBt4wvjItZVd6aZJmTb8aTEuNAvt/H5Xf2BcgKwBhzzuZeTThj1AMhCdmMpxQqRohYA7aZ+vE\n",
       "n2TsaLv768vgd327IATFNokOMueytyDzWihormDj85MUVKzFoxv/IyZ68rRTBU93uqi9XgpzWquA\n",
       "we+uvV0/UQ60kJlQN2RFZSqBv1if8l0VH7lK/Fhc/4z23n6DncQV6gGUgHQOtMkbDJm+1wv3oR+e\n",
       "qQZXxKq2ALiVP22bIvKMcRkQWqM17JEFlF7yQpvsCCl4gAgIa6+O+TIlKMdGKDNnRRA0XniuzoTF\n",
       "4hI0xV+Nl+Ep14C5x+FNzDFxBtAwFT1WY+ndVb2MxuQjIkGrEiCJsuJEGv9K+OGvatnhhKDMjj/m\n",
       "3X0nqjfgqaTARFpTxvq8Tg1WWl0q7Hiyp4HG9CTlqOTTKvsDgRHguWqkm/THAD5XZqFMsJ75WgN3\n",
       "/bSCzc5A68peh88RlmgEMi0Dn8UYf1wbbKMpJST7pd1OEScrpaHnWwqUBlj19yMM6sVu2/hAACOF\n",
       "/J/kP/zdlIf6PquZn/TJEUfs1ijUjb/I2yhraJ0MXryvKKULmAnFXu3AGaHyYw8ZxSYXKDOasOtH\n",
       "RJFTM1qKu2YmpnsV2VxVHAZ459U+dDv99ejRgVSfY1+oQGXECRVj7ASAiNVq2HEbHZW2lQQwXg4E\n",
       "0F9CQbruZgogTEJfNb41WB0RytbO8KuhCnowMX35ZNMuumbPWXxKkLQF/YgCiS6OB+8brM8aOX9V\n",
       "LHA5d6lhUgzGSw2jz7SxNPq6k0rg1FmCbJvoCw1zxntVz49U19uPdfiZQ6KJ8ZP03OK6Nza8TLlv\n",
       "nhGvOMweN+1tf6ya73zf1LX6vOcsYzhXuGmh2/B6dLge1x9d0z+lnnotXr0wAyThMkWKvJy6y3hd\n",
       "12VPOJ0dTHSMTSfEcfOH5QJKVNT1LVAzDrQ1rOPcDi/K1s8aGlJun+bqhF8ElznuTIIY3nrldVKo\n",
       "oIJarH/isBcNHHacidG2XD+DICwRYwavl2Q1N61oZHEGTYWMTlyahTCCxXBDgclt+JnfBDwSGH9s\n",
       "hot603pcy/Rrmb9sDIKFL8iMma4jHDDEWzeFRVttYGShGMlC0OtHZJ4ODGp/bv/wNdAEEQbV4bWb\n",
       "bZacbH/gWD/9oQpMmYn8JKye3kMiWV/UP+UxaiyQWR4tRinidlr1hXQxGmAvU8xER1+/QT25jL5z\n",
       "O+U5kC9CuyvmwifKFqhxNycyMJ1sI6NE8SOn4ieAHqjF9xF78obyFzJukZckIwzi0jIvi6su66q3\n",
       "4+SFM9t+RFmImnvcr3CrCOLD0HEkrMwAQ2odh9IoeTf/Mf9ThME0eRdZs65RzfmKoL/xSlaUX+G6\n",
       "PYmQkOOxdMwKlMhc2wm4gc2wEE+NxUMmVERWsXP2/rzzv595u7WUHWeRb+vSHUvkj8Cm6RpvS5dT\n",
       "VDF9kXIk+CtrPOsoFLgDPuUbSC2VprYEviV6sQue9/YBNkzveMMsAQe2337/AOakNY2knCrr/rIm\n",
       "Crwcwqy0Qf+iWL309Q5ZHtpvngxZcACQV5K1ATh7/M3NlyvOfARFXqH6K03dCH0Qbu4vTtyRNw81\n",
       "os3zCmFbG4qOkJXJfuVTW1YRB16eNRqH1x44qv2/EBQZZlwpPBpChSW2JavS6JCoawkXFFFn5pss\n",
       "7sRQH4pB/+91ZOVif8XW00Mk8oUehCrQe/TJ176ri5Rl2iU/jI5yZ124gHoRnqSTyKwaUd7Ia6Oc\n",
       "QpMx6REQSFCtTysaTOjBIRxcy2hpLqFVI3+fmPadmXyLAIxIXzXiqLwICPvyutJJz/cjqF/9B5Xq\n",
       "LgE+f6iYQS4aGNqRrArcG4LTCDAanegoRF5EIupcMvxTsbEObfSkKN6uRaVk3YLymIJSGJqeIWM+\n",
       "be3dsmnAB+lFwub9pKyInstJOXJ12lutMw0PBRqz/M2EE1UbZbanp5qHge06XVJXaK/2Lz32IqTB\n",
       "rsIxcWsYN3Ygssm8jST4xPItc7JMszE6uhm3g/PjjJO5mr66P0WBVTuMK3QnIwMPaUhw7ye3+LPD\n",
       "EvaxG27PSFyuLp98lLf9nGqXQFu9PpYdRjc2sI/zfLHvKQcgsJlk9kIGKECA0SHS1mA7L9gG/Fz/\n",
       "Jlz271sYyxB0TPwuZV1CR5tbii+UE+pisU/yGsUaKrAGnGUFfWv6/iCMcWE8D/oCWyNgE7Plc4bY\n",
       "HN8oZJW/vCVKbfMZWXJErtq4ou080BYclADaPqIU4donLp2fw10d6xKl+e2eyQfq83O74TZXZ45d\n",
       "wh8t2fcwrBesA2oTWQyUwIj1ckXST9w/Ug7LYNVwQJ0NO9t64g+fp4LcQTiinY1dSQp13qNGFP7S\n",
       "hWozZVsDWOov0CrzIAbrv7j5r2KvNusFq7EPcOG0E8lG4RgkDvoIiGov9toRknmfCclXRWtcJhkf\n",
       "I2TEilIDo5s0Y+b++aG808xVqpFZYqzQV0028K9Un31u88gYDH2nWJs0v9l5T87soevswAhn3WL8\n",
       "QH8fp4nuGGZSJ0gX1GuweNbscL+pNbqyPY0IijiNm0mbUoxkQvrp/6FgONdhV4aNRSssn4FgmBDd\n",
       "+CFZE0YEXnNUWbfUVQr3BPHlcp5eyTvuKjkuWuMdsxA9oFonw/Xd6HOMoI2bsZ851M9Ik91IPSAK\n",
       "XgChKzdy4+BhDeLx6uUguyEzc1KrumNLxun/VEATxzi8ES9cAKk5m5ybW2tyjja304LsmE/QtdR2\n",
       "lKVj0rZJ8N1vGuJnmnTDB082aohQgLmv/TsK21baJ+LFwiKQxKSUvevZyZCENHZ/IFKgcn5S5IHg\n",
       "8RSf/obYW5QUqfi/HZfQSA3139btZe2RB89kT/EzWtgf8F81cI/C0K5BVCg3nsgP9Ac9VuffX1oB\n",
       "Tziu6LtlxOrkaOLQXsZ+5BLvB3LkuJRVFIhqDNXYRUQtk5KB6TP9Z/yT3GMjsDEIf5InBwMHF01u\n",
       "XotF4eIm38/7QdAddrCKai0ng0M+Qy0f6qc12616/DNFv6yFGhjDXJ584uoa0VSjWsYGkz3/19wK\n",
       "a9Elml1cRWtGJsvs4v9Af5p3JLFmba2yd3tM56TKSCFmn3DxrMVst77Z+2MKYhfKMKhCLcQnOBP5\n",
       "OOFRobyHuXXBveughu9EyVgfI/HzgP4CCVeQowFZ5pe2fR2umL5NZN5t6dyHLllgqgh1Amd+dfay\n",
       "VhEqZCXQmtaPYRlrM/a8M24Q7M/HRxxnrFHGiHG48xDocWtqXYcZaletX8xO+zctr4O7pOl0wXKA\n",
       "TtKEg8RAykTzW4bBpsKzlGFZUIPum5eJXVyefFUfApNxwNSqjf1WzdvszFILP3ZQQBF6WH+bL0Mt\n",
       "+B7i9lTS3DLZmAtWIlrHm9dlRPpE/skDEXhOX3VvRCN7WQ9hF8k3bijFh3Sev1L6frIV+yITfArh\n",
       "gNtwPf0ASna32h91cmeQv6/3MzM5r2r+xWp6pWg3TTKEVZn8psCybmoY63QYVE1JOYhLzayTZbE0\n",
       "/dq3tnNRoRLizjPvCqlJRPmxBiBjADf3AIJaSePG0oH3gacyzKAVj3yDrzm22AJVhpzDuzNEWGZj\n",
       "lDVdRJIGZrKKNQeEwbXgaqcG8pG69d94Xezkjib0WInQroT8bNv0V9wAN9tONS/J9Z0k27JxSFOz\n",
       "S/u6Pm1CiGEOCO/3QoX9kPsRrbJ1VHn+02sZ7qUkSwD6cYYYS/xtdxgToF/0cbXNwsfn2s9J4jY9\n",
       "l6tRLKRQtahM6fhB1eiblkBAj6ged0LvhhsOcmV2iiLdGTdReI/RAGPs/iVE3ehBOq33s6xN8wL7\n",
       "PQnbnO4lCIJ53MkGyEqx4p+TGtJ7Y0fcXe4hzpee7rLT6DCGgUyUbujJ1E1O2gYQFqHWJb/mP/9g\n",
       "TQYMTSpD4M0ZL0wJ9s35BT7ulcdP2BDmts62Nk5hqApn/c8WSNpNAL1MYn3KKLJ0B2kez3QfUu2F\n",
       "TqSGkauX4zq698fDEnC75N1XJtFcR/1B8/gL5CTHVzUWTXNNCHoqIFgcpmlohTIeYNCAiYGBo3vW\n",
       "MaZgM43C3YsbXTmq4NKGI0qlhZU5Di4godyzvMS0d+vwWj/45HJg0bpLfci7Yv570euDjnmstF0e\n",
       "bRlVwpDzOAPGWql9WTjZuY7uW6aMV2Yr7KojII3pMMi2QNdGprrSYIGOAgnW6nxBu/AoXQnShAwP\n",
       "ZJDAhkZgINRV4/IhIzma9YwJHdU3mE6dTcs4A6k5F+GJWd2eau0DYDvvS79szcofkYsrE/M4W6pT\n",
       "mh3wfpQfpML4GBQvsIAAPwMtZdJW+eB7zlGILKXoLF50e5qSU50tIySQy2XZD7lqaiECE869MpG3\n",
       "7J9vIE1/9k8zVXMypH3arjUFyxbpqeqf5v65Iaufpo6weClVEbX3Kc/s0uDpPmni3HRiWEUNs5+0\n",
       "EaWNYJHpWj6mlWkNn+mBpZ3P+t+khcvT77A4K2N6IgnVQ9QHxJ8rnzntc+OEljPtCCK504UL168B\n",
       "jjK5rSyxJ3Oj6mNHhkPBlFiV1wIhBXSA0sPbZX0xiSDQ9v0S+48tHS2RsUjV/7gsDrIt/l2RXQnl\n",
       "H/vHReCNsKZHXkrFUU+FpfH3HcbSY7qPwrbJWp6i+8k1mrxGzISl7YxAAAADAFjBAAAL7UGaJGxD\n",
       "v/6plgDj3llABbQSirjR7F+7sp7VsNykt5AW+yHbjcgIfiI82+dxBHM/Pl2njjyHlVxOTFokwcAr\n",
       "fbB9Kbuh1IWFlVeCQHcevudFfsdHKzUjO4mEQFvFYg03JjmVPkj2R0B3eqpK8jIa+tphRRCJxF84\n",
       "1lgrSN0Uep8CHyu/WI3AocKNtZ2366VPLHG2WI0puYYP2IQ0fDIANzYcktRnahrlIkmaTfDn3+dm\n",
       "0yaBmr5aQR/NFS/n0gI7tqymDE2bcceaWPt5PcaSx/fcH9tiNiEEjKDT93NJMewoVi6R56mEoT5K\n",
       "v//aK/WharvUH12nSXInYqi2A0BRAu+0Krv9KudJigE0BREqIZbFfV0iGmQ+T1nP17mOBD698+fd\n",
       "pqDlzu3K8NyodcKNaIlep5ftBXTqO7O3Mhjx1as0kPNL/lt8j9mCve1FL59nwqcBBIEBqEhVzPc7\n",
       "HmUPOdrcHFt3Rt2yctvuB7xvGQxuECy30uqeRPUHUWxIK0i9lcFtJxQ1cD8/YYoAgiBqRWq1dyS4\n",
       "exSADgmKndfnpIAWznxgc5Sr/ghqKDoYM+WT584Bli+FvK6XQh6+EviC7l2qraXOtP3wUJFltDr1\n",
       "JLPRnIrC4bMVrS3RZw8CPGW1wp3cfMfsaEntTwoUpN9mWxtfW8b6l+jErCh5afgczWjeut5Xe+kJ\n",
       "FpbBST0oZ2zWayQ2c1k8qXcijEdbmEfOZu0LO9LvmBQikS9TUb3ZPJHamHiytrgI7y/+4W9tRVus\n",
       "R9+L9juT4lOC4tEr/6JTVsdzitkXa5bLBkKGeWG+1VoUM28PIJIYjgtE9BEgQVJN4ANpfZlsO3CN\n",
       "ThGuCgC0Rfv5jF3fFnt+WM3CiBZJsUS6eueLY7Ig4SR47SBnwWRf35p+1y8nAL+ong4M/mj/F7/4\n",
       "ivx8+1JDrO/f0yJLujEJieqRMafCQ8T/jaVQhLd4idyqrOqF4DUyrieOZLYkr1w724zy6yC354af\n",
       "6zjaxOx0TU2t87/Q0JeaXsJ0F4HyPvDZ/0enWb+Bawz71xXjRM/2DPqgZgnXZIvupZs/vTyjuf3S\n",
       "jWOO9pjG3SBSRKObKudv+Q8L5PFrzQWVUIuK1/c56PhNWyRuBRsyCxoKaMJqmgr/QDNU/PZIMdml\n",
       "iNkVYxJOzSP6wtScjx7FTFWy/77p1cQ9Z5SBmlMe38RYNTPKeof7fVyo60yeqPAsLDOx1Mdwsd5y\n",
       "FKpY5y5n3BD+KP6UDdIPNfXwbGTnXu9ipAziaqHHjJn1H1kfXBmxlnlMbrZBpQpts+D9pPB+C4+z\n",
       "+L5kZ1wqSRf3bfmZx7jTZUNxwASySt0dMrOvvuxSF+PvU+fN5K2M62dvyb9ZCdeqdNxa2GCu8ybd\n",
       "k+IYzj0uRO3vcBp5JH6g2HkGJ6ZyM7g0Xvu6ehEp3SWsoRcKEW7PjeECHbaKy+e3tUTDvsnefbME\n",
       "/gzTfWjT5sIzCccWt2HEgR3yJiNIPvMGBCUmYh4aZEibFWL6pTaqYxdH/szsd+5xIL7BU0t0X4vU\n",
       "nSt1p+9UIXRlScFY+hNipBUjaQjBBpRbgMabJqT8UxUUGLya8qTuBFTe3p0fBlXmjYb4aBtg52hN\n",
       "zTVXT9+LOhL3LXn5/P1xPBjAiDvj1OK30mJ11JnrISVNVlsivq2kBQ78Phq5SMXHGMQ5Fkt5+Avz\n",
       "mMFefmNJSqqsAiz/12Oe0XqVLxVg6350HnPRZRLNgVE9/TsgX80G/Kg6d1/AqxURrOdc5YfkkD7K\n",
       "L8Vrq9joDaE1J0GzqP6INKNPGoV4cW0Jzcrio3yW9MuCTQ+Hf1vv/S734qgqHsJH1AErrnhrji8u\n",
       "Y3+MmagkC63I1l6HAzvh3i9i6qBhdP6CClowBQzZOInORYnySaUpnb+oDbOmUsjY3bHGIZMbdn7L\n",
       "LnP7bWgH1syYC3wgRmCLBybtcSsi7ALKF6HlkTg7ljfWEjQ95IuaQYofzaKAE9668DG6tleV6Fkq\n",
       "dGeg7vlDd2BAthawTMp4T0JgTW5qvym6Uq83AO7lLA7zspvSDALjLHh0jhKtxfNT5zxlrykbm4m5\n",
       "+9kIXEGBLV86Xwjpfe1kiCFPofeN+/iH+L3uEWum+4Zn+bE2V8ucmJlkzocGFVqZuQQoPRa9iJJf\n",
       "Mv8EWSewn5ke2YoaR7G3a3r9yPULt3VE11dyDvX7WFn2++f+J7tJExkkHn8UXf3PKv2g6ncofzOo\n",
       "hjoYNhru8vEGe3AcrTycTFjEq5GWdoLNRBiRWZkF9Mhjn5DvCmvMZ6lPVbBMqRIzxZC4Mx6XVhBl\n",
       "8vADs9i5w7MOwdGspXMOwB3qFceXYUMND0P7z4pp++SoJ39CNI2OtTu8f7xpPt5qpa4EIUbujWtc\n",
       "LYAX5FJi9sbOnu6RXdvr39LfQypOo7y6NyAUtzR+GiMMwxZetCiPDlQRXHtRaXFaHUZqo2lWQM0b\n",
       "gQCsQxKxudq7jbkipEQdhHLEnmM97ifm7sIz311NW+e5WtN45O2Fp1hvpPt7gZnZOCSdso0jTBmU\n",
       "HphEJ0OYi72/23vhb7zP0TVi29J8pmVQWiq5SX3aHWrhrR37hUyeLZxxsLQdo6ODV4dwCmOh7Km7\n",
       "pUIDOg0KJF19clA7+B4MssBqD65T3HpCLCbU0GGvB5HUC9Nhs6Dp/NVsDfTdh/unF2Cv83hUiT7I\n",
       "Ec5LK/kDqP6Q9+xj/28H2nuuNScnOnGhNZmyrK0k/QRm02/cvyKCoIfB3OVeEawhHFOLQJUv1mgl\n",
       "lnqJ8a3XQRWRKE/7QOABlmCH+b4rLK/dRWcq1EKyzdY7OfHWRVJX4ED+HVWhIr9uICD1CuefKo+3\n",
       "SZm4cJ+B6lBT9kNaVjiOtcigH82BsWt5HUdaetTSWqByE5b1JKRTqyvyH9+ND+rY73MV+PvdfVn0\n",
       "ikqBZeb48MwtfXaDAAEQ1Uxpuf13P4Jzq0vd/CLiXAxzWNjEP9zL9wUaMj3DmE9/7ZBgEAJsrdLg\n",
       "WLTLLkvZ6JdRdD1zeZqXh5Y9wK7R5FgNfrzYVtHDIalrnkCSAmTxFaR8011qB5DoxeGxMH1h8Hpz\n",
       "mSCScAwR5mIxUkPv37GOOsxbcTVLgHUo3eqdnw5v1ecJal5JVd/IP/qz+85jN0jUqQLY0AzvPmol\n",
       "fnqNTgh17Uz82j/JOiRTaSmrkYF1jk7fTQePQ1qNTnXrDvpg9oy4GJs8jlv5MgKuLsh5lOq/pL8Z\n",
       "ne+mx5WE4feIa4969D+oPj6QTpAXEDb0B1I5w/VCeQFkOW/f4MzaUxDBJvyEKbqokDyaIJ26oi2P\n",
       "BLS50DVCA6RVd2SVVMlj00N+MMsi3BIfAmkfFk8CHvwHxd9Hi+/hFpLKO5exhv4vm+ohTAwVI+2l\n",
       "GKXjm/l9MMW0jxmz/kG7tIkE5bfiXxas04zpFVpDxAnVBAHRxE1aQqYv1ZDdwHvwebyfrf/llD+q\n",
       "EJKqm5XRkUTeb08sZXCb11+zrwljCbQTnT51riIykvKBpQqa1uf37digyFVHS1D4R2Iji1yX3Vm3\n",
       "6UR0F5DG/L7j00rk5QXu7FDfvNvSt4ougTMGX96hE9sPRIxB+so682cA0YnNxLFfJM1y2m4trWNY\n",
       "KvSLFLaGIC8oRHup5XRxJ0Wh4pVNN/yFyBBIaVQMcNDS5glHbZ6/PlKd4YSIAvGhGAx5NZFWPGDs\n",
       "pDkOqlP3XWgHLKWWe01RIyxPwoEHAkGPwE72ngMZr7JIPsLjTVZgDoJq020s0SzYOf0+fMiszZCR\n",
       "8XZcti9bqz0jEqRHi/YBnmeM7jAJoTwqOjMreW67m9N6HBKKjpDL857o75xZgMBdAKKEd3j+u/22\n",
       "TUYr++nNgx6/UP9tdWLw7yrWKy5G9coyqmLL1wgVpgexlftPqHTGp17aWn6ip5fpeVguCzsrpMHa\n",
       "x7n7u4ZF7rvWY5C6EmGy9UhTipHiu3tAkAlVQLXoZoZbb3q5357EWrUq1GKdEgLXNkaECjeB3QCJ\n",
       "AC5RguDo3Ha9N0N6N6AldWnvfVRAfwA1b0T6U8lCZWapwIyWbQvil4oyN3qFIc5VWLLxvsUeWZJy\n",
       "6PnItYq1NEII7AWSTeIP9KpTTfD/DzFKz34wAAAE+EGeQniFfwFIav9DlgBGADxOx1a/NC/w2KtR\n",
       "8lHweN43IB9BdEMBCPvmDgnzxE6y4vo91xcX0aNuBgtPvJazyMQOex/nFRuBVjvWsex5S2N6O16x\n",
       "rBcYHMqTXezhdCjAQCtx8DmF36E+r3DVliTB9apP2A2u1p6HxG6DWVrI32PS/gzXqJ/uLdinLQvr\n",
       "kJp+pYjGg0GtyGcEXejv0VqA3rSguicLV3/vHIbA0lMYgvtayiLYDQ7kEpw6O0DarizCeHJOBKm8\n",
       "UoMIUh45rbO99iHXzJyslW7+6UpQXsZDKa7/A7szMmm9/PfhlGZuuXGAwM81besUet/AFiK4qq7E\n",
       "nEMvx/6GwRtKFJLnObvjySL/bDqO84LQYxmNxRtEcXEwVmuc/8QRezNy9AtYMtMm0/kTdFQfBjjs\n",
       "eRLIIekCPK1yfqf9Hvr/HpCp9VSqq7goWeNifH0+KvcFEQofoma9lad+XnCSh8pTGKMFVsRzwHc8\n",
       "Qo8XS6JfVPJx3yX8WS/OW2Om07QfaIKFCj2ipioXbO97/Z+s6yuUQ2w8QqHiBNhrZ4FzIHkf5zto\n",
       "rxflUrs4GUKIAUGlmj2hHmAe7fEvEMBYC/ubOzpWEv5GgtmHP8VzXiNDbrhioHmw5ZE0mYXDa42R\n",
       "ojQ+1X+C2RGHgEilJuNM9tlEcmK5ds0MIaA8B0qbR4oz6MUHLMEWgg36KycxlE/ctPsReQH+yDWh\n",
       "sM1p86tlGF1OP2NoxM2JSuqe6w1j83elSrnwQnA5FpL9GK0dIu0VGbcKlP/4Ea+UpcWCNzG+BXcq\n",
       "eBOGAnCyOCu5xth+nO3NtouX1wGhIjvfXcqS072D6T0OZ5iB4+7s5t/XRjJcyK3e3bWIjt2lPFG1\n",
       "3OFA1zMCdIOD6tYXOGobHZsruY8noGG4Ewe4i1Rp21S4N94FyW9vtjKr6YpF/lzfbSmfsy4xnMoo\n",
       "ngR5cbQcOojEHkJ5N2qsSGPMBlPOeGLtSJGW+v0dZwWf2IGpSaeI4NEmC21K7lSE9S5ULVa/rqTB\n",
       "p3hXVgS4ZRmkSC9dkcGpMSotDJdefn3J32D/3ofA2w7UbL4zMj8nzvvZniQfk5Yg+kgvEl4uR8hf\n",
       "nYAWqhJVjQ0s85raxl4ddY97vbfZWt1OQ85o4nQCYhqURI/KPJPtrvJzm+bzf7Q6XbmGWoQ394jN\n",
       "J1T9/T+W155IXow7rmrrkQFi1RYbOR6eL2QYbXEQiStyLvs5qlRNYK6irkgKggQyI4EHbYwl23ci\n",
       "bhb0ZACtoPFYs5xBcKJVdQ52p3Zk7yTEKWsoeh+VCIGu/g4M2foEnJfX6jcvSacZN7yfKDBZr61X\n",
       "xOYiIWuIdFBTwUXJ2rhDtfkt1ffgVroHcz1hR7RB0pxH51hmr2gYHB4gSE9T+n4cQL87eueFtBaf\n",
       "wFqZkhhky3PW/wnZpvd/x2PV0hK9ldrDfk5Gq9jdusHlfbguUDeb+JSzpaw7wfj0NKxO5bfoVg98\n",
       "E0c+rW7LtHsdaQEAHQcQT9Oq7vQhIdFdxkZ3jFfoOaWV08bDSUxwogJNh2sBl/omsWNh6Rf7s0jz\n",
       "xlYsLYSPY1DTGi9ddfeyNL4wubtyeBiRWNmfqqCRWHcEIweweutpHW8ekMn7Uta4JAyAYlvsNI6J\n",
       "1P0zHOdIDBuVU73udT10YA8hHG6lOaH/Eyj/twQc/KENtBhxQB2DCWviAb6fd7K9gQAAAmYBnmF0\n",
       "Qn8BmfOm3cuNAaNC2IAahAyjj9KoorSD6m06mGHfkZhQxobN/oKFvwv1RZbg+mmvQ+9Ar0qVq5WB\n",
       "O4dQxEhpvCIg2vC9LX8VrHPlWZbR7vVbraW5w/xs4xr1wPZQviwG/94S64PWpUU/nwVtfj/zdGdn\n",
       "YurNCTvt7VC6MXXfrFizIte8hTxcfrKjjiPyCrA9VcRYAJ36m75Qh/9T+9L6h9wIl1QHtigTQ6Tl\n",
       "p/rTk9bnSganmRGq3szAp9CEVzaqkxRXnIuKN1YLGCj4urSOu1kejKNypJI7EDCdDHcVzeq/+bmu\n",
       "tzoF6A5nzpxhwI3R8S6vZ85pux4Olr8T4GBaKStYI+4VQbo1XJoZpdCWSbwKCS6+YhCKRrny83qn\n",
       "Np/ZSyBkgPVgno2nLNSWiZ78rTkvjDXzbmW6kLS72lA9R+1nrcimDq9MWi3KVxZK+mLor19SMFNG\n",
       "ERxIq2ZU2+qZG/k7sNBC6Z1xIo1jGVCb6YbekXAIIq3BKr24ji6ThBXzK2If974lVY5IjagOTDYD\n",
       "cuPMol5PVz0Y4kQ8w2F+KLftMbASBWbuR0pnwhaA6OY6Gx+mSLSvhRNa5Lg8YVkr6B0kiLEF5/zV\n",
       "q4vuxqDnzefC+iNu8IgfTRJObL4En2xI/dccRusoCAElSIxS9phjLJOWA9H1iy4RusBwp84GcMiG\n",
       "VTQSZIonKoxhohMHcdH3rZyLjMXJjzuPUlT8MWgjkaMiin8ZLZZ5inNJ10vyKJKZlUZm/CRzl/gK\n",
       "1NTAgzO/Ru4rAXRGJehg04pEUaPWVNoc4SP6p89sSywuL/xre9pI1wAAAooBnmNqQn8BrhcnTXVR\n",
       "i9Y1sddtdWBgbrifx2ZgDJYjlDAZQBdg02hxARNgVyrCkMgCC2yT5l3v7k1/u9OW3kX56IkV5bA0\n",
       "LAaKv64rOMJufsP/9CEjTURZeRDGeisLQMN81IcQpetti8uRQ0kJPARcitAbOL8VpC7ybo/pWkxE\n",
       "rVN5eLN3MIBHB9T6dZXUjmEj39+VzuT1ifS14TYM8QxyAsqVAK1SRDn1Bh5SgmygteR2Blljn11N\n",
       "l7xcORUASvY5xpnAIAIaVavAmDlZ3DRUn1bQ43frUPxG4jQsqa1/oXC5sHLcVO8hD/XvaSJNTZ35\n",
       "nCC1tU7DxXCgjFEaZdDjn7FjcCxJZNcoqExnlD14/qwTSnvvmBEbNt12GdC4kwrVZtZlRSlHgyUf\n",
       "vt3GST1EQK+pnzJ9OH/GVJsnVHCY7AAjk53jaqeJVODXwAljSrDfkVLjcm7mMdOsgCRf30+zpgML\n",
       "0MM7j3ghsLJ1k17dXH6p7AU6VF2+whbqU014G35Cg+fVOVcg+zbt8CdOMiVLbwaJ74fHko0IljKq\n",
       "ng5l4UqR5dazsihJ6WXjpBSg9YFYI0DEVIoVj+YtWwY9xLc9I1wcBXoqdJsuCldvYCnqZXR/SWT6\n",
       "23GjJTw0pVZX2hNhS1PcdIsgHVog55w7wHvqscf6nQNv5/RSGEFUUruPu8kpr6gCEFkiE7ADzwrz\n",
       "K/8vAA50DRe8NfeS1annQygnKNlEH9a1HLCKgfTT5QFIwD2H7y26JKwDJbirWAeFi7X16Y0+juvD\n",
       "+EyC5JAh6dkmwO3Mnz4zvPWaRZhnr/8TwQGvuagbWHCsDnV6Nl6ftxcHAJFP3WXJeIfAaEn+AKZf\n",
       "IwcDXfKxnpOjoQAADLxBmmhJqEFomUwId//+qZYA7hlFACwY/PbTww40OmK8tOZEJ5eXOpRklqcC\n",
       "Evl3JSs90RBlGi2DcdJkFC46/INykKCBxqcZf/jnk3xw2+vbHMeMW/m7/eLSLFBjv50J+IC/8YeQ\n",
       "g0GLYKAThRfs+547TSDS582hz/45NsgPKdB5bcIMunx5KX5Pj0mdSLvQk0b+UxNm3YQYEmySVmUH\n",
       "QwQ+39e4n0l2woXTmH8wRaU14hy3/08piZRJ0i7VDIERtx5tDjKnaZFAZT8IHtbqQA9UcVMi6C2p\n",
       "QaT7ZyE5PW9lB8rY9nrxD7KfGp/xO1ktr8Orzlxch8J4Jg6m3iGOLESqw1YNa7hfore9JcPMf9g1\n",
       "M4U86MEl3m0k4bWjfyad6OPr/A+7xNcvk4H2C1cDq8LSfLfQ8iRlHnzYw8514uPIAj79Dker/TL1\n",
       "26KHyjHv8/2Y0BfWjo6zqDuO1RCWO+f6gJ9ZfcLB/KdVYhRtvXm0j0kbVtbKI2lg9+NE8gRFaYT6\n",
       "NGQrTEyAD9By1fiTBQw1kOJAEMqyyS06l0ZI+6q9ulJTjpbkANyabur5zwHzhkcNH8oQ007+J0Bd\n",
       "A8sqbJ3xkFIz6h3GFJXbNFV+leFT0nFiFOo9Kah8Lq6FJSgCmK6/NdgGArc+SGa+dICdsA6faDV+\n",
       "O2sdoJEFcXMGTqnOv9GBTxyNs2qIY5flztMy5ARIU6Lc0XQv4Ge+P/fbpDxkTZp/2BWgSQGD0bAu\n",
       "/LmVQ3FKnH7VewfFN8KOt5E4OJK+cmjlR7iOBa3aTg+QzrEu/N1lhiJvqeuYnJed115leu+kSg4e\n",
       "41yHJ2B5hefHj/T7wgP+IFo+tWDyssmw/vuWCUhpogh7evbdpO/aH6Kgihx9g/8OLqof0uJ3bkZ3\n",
       "09g//UdJH8cLQqfqXQTQElMgOpVZ5WiYO8aUHr8YoESS9hkrRE3vV8cD6nOx7hLIQBm5sqhsD22T\n",
       "p74Xt+s73GVjiBDyTDbnYwhyYBUMXihAt56av8xGhbkgYhE5dMRfMzBmb+H+iyno/fEUFeKZe4I2\n",
       "KCeoj8r+hBDtXuDLnEpTVBkMcEoFf/IDUjq5ev4+J/D5XAbJ0cPAhxkia9XmFVB0858CdfpITR6J\n",
       "Rvv2Mam+EIRsQVxaAikc3mwRnzz3awZ9Cmynn9pxRACAnS/PQjgc0nqv/VEsJBSRUalEP2VmoYTH\n",
       "Se8wL09sfHPQH4G3bUrCrSwW6KSFYJOwPX5XWXTvJyJjrZ57YG3Kr0tcVbBz1YQ+hqguN1jOLpND\n",
       "kmiUZR8IFN6t+5Qhw60nA3iMvgEP08f23UzBXsXd6LZ1lrZXUjtGplz1BLTaRgiZCVFB/8ysIKSQ\n",
       "CyPoy7zMUZ0keuOtiaDm0XAskFkXnnLHdEeCIun1xc5ut/saJy4hXVhyhE35t5Z3PYUHvRgA8vtL\n",
       "l63eyj712fO7GMcV7BdRh/DteeQMSWXCKf9Sk5iy1vIr0VLal789/ATcRqTc3e05Q+lffqttpweB\n",
       "A0wvYwwpg0tLFizZgGro9yAQBz6UKuTGhelc6FIUZS859Yx5GCo2r9ll/bS/Y6ojTeJd0NTdWJl+\n",
       "nJ+Ybpflm8tLP5Y/l0tJLkbGmErlqcTw3INUrteZLFT7K3UlNsvuFbZzN6luOHMZkxzEMHkre+hp\n",
       "L1zhHYIdl4lVMREKbEYqvi58YbKajpkJ7WJFdH00dc/V4PutgC9tE9BKoynQ3OrriTp7sQhj2oEC\n",
       "RqphNRCXe/XRdDYRB9vpFVHbRcQ4M9jzGSbDAa+guNZPPrxnx+fcRscTtCoyL+DbdBT09Uig9nlD\n",
       "w769hI5miOlfueg+Yz9uuYWYET1iKweL7tSJeaSNzcUqjFlvmrXwen7/Dxv7u9u47sa1jsJKN0eT\n",
       "tQ++EN7MM3XIB4jCn0/MMbiVz5Bclv0/YtPI1Oz3ISDqsAyyZX9GmUg/5lUSeyE7E7bHbrwKdOAa\n",
       "0j8u0DFaG0enuqmKiDKKY54oXm6PUtM4PLWS0VlXdZX9bvgYFomWoy0NxedjvlLZ1LTPTqD51IEW\n",
       "GU2yNVpOhuGWkrTN6zXBIDAjs5/yLF9htv6Y0zXpN5Czxm++dwqoyNplJ40kTV7KyUK+mL+k5jEG\n",
       "NpP2y/KVOIrSLMMuD8ea+Z3lwJ1OopTYb0G55QDk+Sax+ds81jUyADDLf00+qpXcuakE7W2PZCf5\n",
       "qr55P/5AciLpjRlLY+Bs57w/SGBwXMC0T/Vn8J2hk3rGBnGl4h6jQJDIzHvb7xUhBICcGg0s8DtG\n",
       "DlMGI5Pcp0Lu+n+oaei2zG0pT7h9+G/T7VRt+H9CCxEARTn610HkIy6dfq9sMLVDlNlW7fGGHAhm\n",
       "Mr8W5uHMXoQgjzdZDb38HTFac7eDWlUfTM3YaN+hcMFYzFuzFYGLHh1wgTmpBgEguIKE/hd+1+Pn\n",
       "gAOZN7PrSbKDsfLtP7GdTv1IhgP5ieaa6k2O/Ic3yMEMezLOVjPGy+/g9QcIk3GWUdLlnpOCus87\n",
       "U5SOkzul8vnz6LqSbRbRKBodA2icoBBkUsLhWC8SqTcFYMzdaRKU+ihCRvQ0C6JcbcCfhl8OoQbB\n",
       "XVqsY5PeRhUb96CWFQcWgMaqz6/ZP92K/a7QSiI7gYgv9yTkvTdAHSO5sIX9O+I0a1Kr1zsULjCv\n",
       "wWDnhMDSNWsHmQHGYQxHYHoaOnwMGFjm5eCHbKQ1Hds1A6faAuCcO+npZf8r8Fti7hu0vmCqn1EW\n",
       "Jj9tngDQMmNtmk6/XGUopad3N6Po2BkX4h+GYr/5N+UYm8qn5PBQpfpPBLD/84vFaclxXShbicnB\n",
       "Zc+xT5Yfdi1kRZC//QlAlsrQFTIVXxSsRbf14E83bbsVRNx+G58xsC7fvmdP8FBbmw1f5XRAYAKL\n",
       "Eyz3H6KYFLEFPndBDWWddlzIt00PC8glmPPbRXWgdpaxi0Hu5NgMIM8/qJf1+7LIUHrpO/gAJIYS\n",
       "VEds8RDDsfcDbmIY4a8CsmdWZcLnvnbko0JT1APDZEhV9YT9O7JZrhwPfPMNhqDSxSj0QnkQrcAt\n",
       "KCVu6CM4KIfBpnGC/tZWLA9izjPB5l97NCIhyjMZTfWelEZqg/UBtP6SLg2CE4tJUGvQTAdKelCy\n",
       "wI7aKeqvLwsk8JWKyw6dW4rm/VLgaAmgHCkHab8oJdrSaEsa0+azmu70SWO6e0ZT9vwR/D2t7Jmg\n",
       "B0jLOrwqS+zWImVbI8yWNKr660yRBlckpTBnpEsCo8WN/clcLoVgrOse3h42xCcfCJx5ULZifkeI\n",
       "4IePtvwjoA/e66HJ5NB+lvGVwX0CxwPPlDu3tlgbv2lzNsMqVWL/v0liMKi1W641iGHipptvTLNm\n",
       "7IwyjY4PNOtH1UEHuGB4Bo1jYLFtYebhPzk7EhegXJrcbLC8WbprNVPr304/RU1VEbbkinVxo9n4\n",
       "etEClGgNpyAtgkMeXm55vrzYhmMHgSfwnq0e8wXqH/+KdfuCsJZupq1LrHoJLBuzFj3nLN1QfFcl\n",
       "WD9G7sPP71PPU4QRkiFXMcLtqgUR2E9rCblhDSjmrBFoBRBYVwVVSvw0Ect2ogKDdfuRHtr02Qvg\n",
       "1FUU6tWynS+AhnTBM38eKItytz6jBiNK6IQ6sj6v8/9j/qss8gmvtdTvVRvVPO8MNo3p9Vp2YKLF\n",
       "yAywAzsnWGuv6uw+nv7qBDHgUXa+ByMSxstl8gnQSSCLX4Cmckg/eyz+EAUHsaFXV8ozHQtaAub5\n",
       "j3bdw0y6S8XxbVP7Cgsn8D+Mz6qNtCf5W4E5UwqNQz3NwXi4CUmzg8z1BZBFopvZhJdJKnKZErJT\n",
       "z0U2kQR9mp1W2qHrFDxqEuX2WgM/V8XHXTPt+uZ9pF9RSi8/xXiWU8wEmZ9WKYxsVI2AMVzxXKdT\n",
       "DqKsMOwn7tbM2/cVlZYXWp9Qnb6Rn1snmHovqRWMmw5w2hyaSAzIUaPPp3QfydW/51++9KHOCnnX\n",
       "kqmqO9l8X1YefHFe/7hp784Tl5wYzityGw/8swSC0uKZfTXqtbJ0qeUDd2bXhwy07tZEZbPqZhSP\n",
       "VxIqq+dZMWqj4GtXdhxEcvDrmYlXwJt/rWiintofQBy7I4gP0sv9E99xUUtgCcRPO/9L3PpRCqGp\n",
       "uzDsPscv7ynEgRST22dPlcktL7wNV48mIlM5J1R0HMMD9lcnBknvFdnP647K10/DNeSnDDJHvxvw\n",
       "HsPgUrDxN9qQNlaTh8rpA8FwuJTgMbWIwxbrfW9hbBtacQAfWCKGEUhkbn6Th850FDDLCOYVAej5\n",
       "TUmHneNY0d/WZ6ERgVXJLv3gq1PoxhJ2Fh1We6qlWGLPNLhS6N439CUXJVBWnIRn/iNMF5o9RDqq\n",
       "ksa/AzuFbe2zWHG2U/ePkmuJMuhkIYbHRQAABXZBnoZFESwr/wE/TBia8GGFMMIUHwA3tmCrI/o2\n",
       "HtrHqie7p1HyHP79lzNxhp7iIMan5kaBT+v2EtDkWbRG0mD0GXmOr4c3s7pd7nX9LLyO+Xbrmeug\n",
       "Kk0T7PG3bUj9uVT2p9FL4ZpeuooTUizEs40r+zpvq4XC0yy+3IzIg1yLN94EKZ0oUK9Qd0hXjBkU\n",
       "+PFPe3UBubdy9T1G7x2tTAyN989PIMp+A7wLccsXE9ZqalBlLVgBTs641nsLWl7PdjHw5JMSVUrx\n",
       "cBmcZ4/S6nhPnhkKmA078EJT2gEgEKFWLRErGdq8kDyNcDpDVxXFUahL1nltdgrAYmHmu9Z4woVB\n",
       "3bRqsCIzKci5X6TGwiDstQBIQ2sPdFClUBQnVANOV/R+TyG28M03gyDEStm0RgXSjqrcORG19AzD\n",
       "gh/RulxD9Tn5t3oYG78+bH1JLJuj5Q+xO8CEC4pKjy8mxbOKTCbzet5vAdTY2pa1jPLs7BUp4EGF\n",
       "Ao9nqcHqM4VeJmr5vT1GiWFiCm02ktvJZ3saii8Hd5UBhMOuGmAUUVsdNBJFN30e0OOnBggqSXOe\n",
       "YpwL/h/qx7g+NhI+uycqcr6OgYe95I2hMp5XPU/V2TGO8JdhVRY0LefjkJ1z97xzfeiFA+xof4zW\n",
       "mqpxzlxeWvkzhzyRIItwunJe2137Mu8v8z5dZvCVZ00jNLNpduh+TskgAQzzxUUQFHMWyvMQriha\n",
       "SraIc9h0Ent2IaoEyzHuH7PogUAHARW2Iga1t6htddafgAO/lcfhqr9mEeHUhmn2nAN7sy8U3KcW\n",
       "lyS7bRdS6tRT+AkiFrwNBWr+ZoIWmzH0EglMhVYBMwzsNZ+8NTCAyvAXYon+947v9g1t4a/JVH/L\n",
       "rn6u6XA9RHixQaIRoq70pa0Wz/9igKZIcmhCbxfOzAMykXZXdbNEjv92iwn+X0V1Ez7n8RUJF1Si\n",
       "mUvLXgoFl63RqMOK4LFNgJpeWVcc11lL9zSiXMaER74srC1XNtLUycA2WoNexcqTohkScWfmiiQD\n",
       "kXZBndNFe9z8WGSC5fLrNyxaxvBCz5SKKV/KVddl3M2lgTR7LlQ1DMr6ENUKE3Z6ox2LEgkz9Oue\n",
       "IB4/6SM6/WKiLCH0HxbgmsnC4/gQqw4L6VHBACDwaTFXaZ0XBuRitf1e5/xLA9pYj+IEILaMVirb\n",
       "SVWRK4HigFBCPUavhmOmgvJxdb1yDqaSluSC7dufvb7XAFjQ0YMDwO2Cq+KXg0AfeZgWcN8c0QuL\n",
       "so1qg6v4qT0/MTaII16yfEV8BO0Q3e5rbPDWLvYiR96UcjB+8BDsm+Y3D8wTu8BtWezsLONvzwSP\n",
       "NSBZpP9tdsjDjeEO/tF8gq1J6R5XqlLGuzCuC5AL0j5c+9O/62pvHtSGCQZO2+IS7NEVr70s2TWx\n",
       "KrOkeE+36P6CqFYJqGq6sso6P9ky4o37bnKJRLtgcUmXVO1WElJKYylhyJSKzmlWy6Sz1G6axCn3\n",
       "v0WHobXZIFObJCSLcD4L79OK1ZdCquZ0FlKaJtlY8FBSXwZIPidtBHyHlCRgYos0rsF2kGQl22A7\n",
       "PDMu1H7w4TTFG5o/9SRVmJiRwv4SX0i9g8pm/0/XyeVubAPlEYxEhkkSep2tmzZhe1pgS4p1YQVr\n",
       "tQkbHiDcdU+1b7MuUWkIVPYC8G5JqA39L2pNPIL+bDdnaozdZoi0YiysxIjANjK8e2+jiddItsAY\n",
       "lAeBt7l07CRDo0dR5OhaCRsXfwpduIRFEX6SqC7zu7YYQLQuyqTcItIW5MIHuoc3K2sVts1nBgrC\n",
       "IVWXdmhr5q0F2o9toQP8tTBB8zh2rnC5MsaSh3VT8UBQ0T2kEZAIqTLcFYf8Px4pEmHsWZUxcPuD\n",
       "r+UAAAKbAZ6ldEJ/Aa6aR4/GR5/h08T3QT33LvrtmAxghlHBriW0ABX3Pbu/wypSqDJNrLAvhOJQ\n",
       "PZFyiNTD9fnDACgBemSDFfDBLPejth1cAqwh4IfBYbqMjgffH6eNtOrM9M2CQ8cc5qzywGKCEomo\n",
       "d7X4rHTM685nmk+5e92Iy2KfWF1oGSNvR5yfbTNl6++1IZVSoW5XhguGMyigTBqr1HIeSMe+Mvkd\n",
       "FRTusgBUV1S4r/f5uW5pNG3IC0iHFSkLwli5M+YBPSMnCbuozEXo3kaH/yEVb2UAy+XxNRquCZyM\n",
       "mQfzugmu++YXELX2y+3AsCWzluS3wO23jupnTpV6EM8zCaIUVPjiE78DOmtE90n5UZZE2VjLJqgq\n",
       "bUtlmZIKfuyVHwiAA1xvxLaAZ9lS62059Vwokfn8YdpfFpc2t8St2sJ/zNpP9aEVESSDGXrTJJYJ\n",
       "cEJVE1dmZbEwpKI3k1jIS1keSUUamnv2nBHiBbkBhlBVGJhQb5erBai4QF7qhq0t7vnySCGg2TAF\n",
       "BZ7IKnQh2MWbI1EIOtK3ky6ZPjJkdeYkx72YQTNCxp0zEUNevXfGgE6ia6oL5TMAL+B2eNREexW+\n",
       "gC1HfZvrnDyrWCWifDYXhqvcoaocNsR8o/7K1c90QoSMfywyHcW4lI492Gh4Nqcm2tKlbZEAOnRE\n",
       "aZeBirFpbfwH9hPiDezVAYYTT5FpuRqyOi2SwtprEFhOobnd9oWwFZ7HqjZqwYOR/5p3BTx6B01I\n",
       "yWEb71VWHCLE586f1eTceWa9yulTHq3LKdhUWPIfe+IDn7NzFnTr1ATr4PvSHCzTwTh6BXwMsFqR\n",
       "keYhcUBgPxb3GEP5FGhLlBPOjT1iGU2f6YSGytbb0JzgvdgvDArzFQgc7/51TQAAAoEBnqdqQn8B\n",
       "jxcUjgeH89NoAPUsy3KVF/8ZmrRFanek4S1jCloKWlkNSDsS+7X6W4x5PibMIKvT6Lm6SvsGFcj1\n",
       "4Lza/ztIvZlqnCgX5wON+gJ4o8lkjEJEWuKj5rT4+8b+Jhd/HJ00tr7UHObTJgGa3bMw9QLvDYBB\n",
       "tANWNW/mNNSrmJBpyQOOfnHkRKdMq/Wev+RNXntDBZiDMk/BtFzyBZRdhxEvzoQ4cWBkzILeJIgh\n",
       "QzMqpnR7TDe+H9xwzEpzPk58dx73fy2Hr/sm0kAe5JWezdA/SP95QxeRyWQYsDOB5+tHY17UOeGn\n",
       "SzbHfj7h4E6fInGRNnjh0VegGTEQ0LBQ6rugDMm50X6MT95shvS2UcJE4dzInClxIsxNL9nx1ahT\n",
       "OwAaT3XAgpEn5wdSq6ch8+TA1+JpaP1W8D6Y4xfssI+IqBNE3x0ko0HwSv6wNli3hplRkklO1ml3\n",
       "o7qpfcVcT/ajN5o194VMnT+nu0w6QwdtRU/o1tXK4lMqDjrAhu/+PB7YltjeGReTgDR+thDqfbDx\n",
       "t8Y/e7YY1Sl16eWEReMklSau1+N62j25QiTQKAnPhiCq9mYsoA2MRiS44hS5t0T1aZ1U5dMBuGpz\n",
       "J2p0NyD7B4CwHWPZuTXlJ+3HP30O3PK0HJypUQIdCmNNxAr3b6n8Aej3VNlFHRmfsTCyyhaMdtPK\n",
       "48sd5lzYMKCLvOC3fNJsesvDa0NrsohqVE94FCSTqAvA2CbU4qLSvnB3777Afi4ELrL73JHw1T2Z\n",
       "qAd83wOHOVj9FrEN7VbwFdIy7JKy8DQbIDya/TINu/HDMVVlGkp/DXVDX34EZmkTWczm71nCvnaE\n",
       "UTNDQ+VCpgAAC+JBmqxJqEFsmUwId//+qZYA7hlFACwUmco4wcG3+6amrjTyUaVUGOtvb3bqnBrN\n",
       "wGaldjdz7Z/sfVPdVw5Y1frIFj5xVlXvkM8VscMLYJ6TPN7fROcMMXlhfSELcQjl+l1cOM+Bmhyy\n",
       "PzvcgPpyXZ7yAK1W7Pe2s7PmF8EXThgDYqw2hzipdRLVAqEzi97dUglv3+uw2PIlQqX9s/a+zGRY\n",
       "QMKAtnkUvt7wjMv0qCWm4qyq6m3hwd4+Ndjt7RnHNEqvPBGdssD/8aLzlKZuz4h+aEApmE4cOdnk\n",
       "2rZuEP5kf4M9Jlt86B5mcM1uI4FQjNexvzUcydrIOCLVWsdhYOKH9Qvr6Ga9F4/vQWw6++5RrERm\n",
       "8g8QIsUXqqoE+koykFz71cbUZjgvmAryxCoNUZiZ3yNZx49l6H8Vo6Cu+zoyXOdxp2+aPxDkUFaK\n",
       "CqTFPmpkxiOxHNBtmPbW2Zzy48X0YKBCc59YjNh+/QBy2jvWr4R+9vED9DaBo+DBdFuNZstfQdiu\n",
       "t76YWbKgJADY/s8k/ER+MgsAqll8ZvfLcx3KHsNhLRRNzofQrCOGHvXNiuCHGSCPn/ekenKw/AWO\n",
       "r7VTa5XM+Di++U9Dyql29fp9TCKnvBdynE4M6bbR6hykv2+4G2l0yunPwrhwetV4xiNogtD1Sp4z\n",
       "eTcPsk9uh37dUNp3u1eMpCNQMXRgiFxMqQBa5o8DU4XI5DUairPhZr8QCa3rPF5CGs7oGGaWIDme\n",
       "qMSaV9b1O7QQSrFJzMcGzkIWn9i7k7mmumjP0uZvi94amaDkGPXpWy1FXzFaXkbDaPZTW+YuHu0w\n",
       "crxvRfepQ/e3N5aiIZ6hj0iNxRt0q5gf/khcL0I4ARcI+92I4G261scBffLESam1cCMyRpaJEiHp\n",
       "26goFLV95G9jPL77SFPgjtFLiBnMSYjfWeXwCl8uly4FUjrr/lDHvFriTf0JVtDm6gZPSC+Nf7Vw\n",
       "ZscHivctD+n7AeGx2vgTbhQO4O/WKBz0pH34YjAGhQk36RocooAw3RDLY/c+7qcCURXBWCElB/XG\n",
       "zqbBcLQXKQOctrWoKzAlGTtg3N8rfPcpZCvuPOFJ0uobtv11c8efRiavpYiznTZm1yzuTK4KZzxa\n",
       "sWI4plCdKN5Gho5grpeeQ389A2AtU6jHbt3jlNpOW6gl1MsC14jV89q/itARkrSaiX12P5YCOHQ1\n",
       "aSQS9JOAuIedpYfH09tqogVuC+gNlAsqSMrcKvRMZAa3BfmKKDV2n01DLyxikQ5OAQzWiHa9Ccpk\n",
       "/llF3Ul9bFBx2bwEvFP04B/l4x2QVYgQOBoDQgtGgms1IgEVusTRkAELDthGt+mOl6u/LlbxeH2L\n",
       "S5z6xnaNxzQsx5UubEvBBCQ4jwy/mRbTVhZIOnN58zxY0R02pA9EHqTZzP6OYGrMgfrOWzBC4aGM\n",
       "SV2cZKJ0jiNWuK9r0FHzAvnkWaBzIOAhm3HVlrs0J2tg1JLQAhXjR9k7CCAh8XQm/Z+3WG977JJp\n",
       "hCAFn3weGn7JLZPu+hgBbEg9AOmZXnPPVTUls/t00heAMa1a1j1YeanzHOHw3u2+JrwK2+30MlcL\n",
       "am/oR6gSNi5+6GXZUx1hG6AZ8yKBsnxYFsZ5fbMYV3ofp5AbUm29jUkutzuanqlqgYCbrRIgrdd+\n",
       "whQVurpmkrRy2+5uKvGaqYiv1nxfbJdxdo8RGLukaLSN8eCLceXBJYhDzIUe0gnDhOyv8haXIuL5\n",
       "Ct8tY31i0ud2+R0goXkJQBXwrkM9ak0AA2TUO0wtKWroIAThYFxQdbR/7RkRzTr9tiqGQcTGFG8L\n",
       "wPLO5eFww+peJGCc6knhwwEfcOpnhuliHBoqqsjkOcMMfJtFI3W6MttOAgHMgZxoNGH9iZx3q/oV\n",
       "RnORyeIYzt8Spv/fdX/3YPhXu8LXNbbzjnuLkqFeQJUtiAIGAx8UNDyss4L9iIFvKZAkLGEux5Ms\n",
       "0Yrw7kqOJWvtPpnz1n55qWhZ8U6OLzV/OFQngqNkDyWRjQaabBBl9Eynh9mPmErcyIzlNW56xmKX\n",
       "/aiQRtrxGqqg3xR5vCJZDjkVLmFwhsd2wtSceS2fiLQCjrVSssVcSLmtLJt8c0Wcav/5lKVWoJuX\n",
       "HyAwLI4tg/h4Cs1gQ04sK3UNoAaBmwimSE5VCD0NKLkDh64Q7Dj50CiFQ7Z32u5TVRXsUDwY2jbH\n",
       "IQPlhlOAa9ugyWax2pcc6LajBmNXq8Db5zAtQpN4rkyll8H+VhTsciVQjtfK2ySmf4kU5JQnd0bK\n",
       "vwEM7FftILNI0dJRgaEcevKTh+lfsYGAF/iMgBS0H40SCHdJl6DMvpJuqY/xfj7D4c1gRZCXJSiD\n",
       "gRQcHLSopVil6+iVjrD0a4l6rhUq0oP2+/Raa6NVNg15Ljl6NnJr3d3VqxHAY/g/QnUPwID/ccTA\n",
       "gH+Ck1/xQE8DOSdPLl3Xb37lyMoRawyGgwtEQvJ8SvNmKVG3m602vHbHiOHh5k6Ck3afGBlhkUAV\n",
       "EkLj0H9mTTuGruE0xNKCgKGArYOUzVvCNXwe4hsFYHdpV6uz8zS2iCziwBn4dOc2GFXZYP6NQHJ2\n",
       "XPxSbjHUyOxEe+pjeepPkVXZIbrSbkjwFniKCo5+6duW78o5MBzyq7xLjo5qgeOLJf3KIqifONnG\n",
       "PDeDKLHu5xCsat0rXnJLBnlVZOBtVbApkRtYfS4jp1iDl4DX8C6tmldOTCZBIYnzw9XO5kXYSnZe\n",
       "PErUEzxSF4Nyy2hS4sizLVaGrLyqC4thTFSUmx+Xqm6obGu9MWO9IBYqLlaJJYJOr8himmKFATd/\n",
       "f5el4xneBS/u4toflcf+qI3yYF75hXxgQxuVeT0MkkVvruUeYk7oAr36yzO1G+2uIHT2dHm6CNTC\n",
       "hqRsJhGiIxX58TnLmTfw+f5m13ubsUswNgugqfqT31LCyX5olqXitqHE20HT0n8lzrTFbxehsjn2\n",
       "uysSpRYmJVCCPgjpsYaKe1FU885j0vFhwH+oMPKi5/8q50a0KxPIc25DKXWUlD8/f7bJUB1tQERp\n",
       "oLvTRtBNQAScv6Blywa4m6k1BCfcLTjSQ77O5+lcziFcVkw0mwRr0E361DDAU+Qnhf6zdowep+94\n",
       "9cLMTtIl75xefiOowHMx7LhTtVx4/RuWPe0DA0HYZcI6rzFhyzJF3TWA3OSmURdXgOnuTa4kd631\n",
       "+YaYZs5kybbtK9Nb1gLFD6CQtHl4W9MGuAmnb4fqjMfG1bxq1vGwrnHQ8adu5zW6/IwTDOl/mNvc\n",
       "o2i0Z4BbhyZv5W82bk4InhrizBcMiGXcyhAUnu/Di0RyM+BhF9mzuR+4S6/7+nyzl3IwQOjZo/nM\n",
       "7IpnA0YcSZ1q0IKvrchCztty6vIXkBh3WExteyNEx013pP6Ij6FGCCTNwinP1tpGfadXHoC48A7o\n",
       "P479pdyX7E48H8aNVmBXL4f65LKt3TbJ6Hpxutmkb+ItXwU5/lK0BYMkkJAXj5PsP9+GOtGXIghG\n",
       "+EWQ+IX1kGwR5FsoY0D5NAREBMUw5SxFl6ehr0UnpFCwSGQK/tPzfCQMFJivjZTMqsU5n1JtAUXc\n",
       "cVbUbeQDJk42W50Vq7EVIflDpMf4miUaWiQldKUO7e8fiFtbH1gBR0uWlhYxQwnMvSMLQfoJgqKa\n",
       "anb41ZRHuwB5LGuGfR6dnG8YSur85NfkoXEuddYB2f7jOEstgf7s1ntusR/Q0bgAstJEWBvsK8jF\n",
       "kcw4Z96/MNzOgAAAAwEy9rIHROHTnlZ/fSPQMukSLuoCxb/c8Ntt1nFgshB+OOeZu1+ColE3Auwf\n",
       "5/RkAkPqGTF8q2sQdEuygRSRuksI/zQjVDYlm30jemuwm8UKqkh2AcGpGOvJ0qOaacq1uPaPx9mr\n",
       "uokDpIdu1vqpzZNkFGbz4Tm8Z7KQKtGmAhnLReYVI95wwRdL5ZaiF6nFeIOembOtAdIjjCTydBX6\n",
       "Dz3mwd1vT5HlpPM8dzO/XXPct6MZnis1rwgOvLC8lZpG/e3Il3fg1gGgt7LvAmtuUT0OQ+tog/je\n",
       "r76Qa01+ToA2qYDxWZm70GgLXOCnmQg1YRwn1dYB4cgAAASqQZ7KRRUsK/8BSKRG47t2UBzNhotZ\n",
       "Ot+L+PdA9FdD/4VH5DY3UAROIJzcuETbB/gXHgx/+1t8HtlubWz8xfu2pbBomABwkjMvC2+jdZrO\n",
       "0H8zwA5LEZXj072nMV0ec1J7JnnnQPGhiF+v+6BF8U1SdSKze6suARmxUlLzX86d1UDJWJRi9Hro\n",
       "yU/okYoLD3D3ty7CIGPJ2Y8jEcdxM+JGo+tPGVRlCtFiosR0bcpar0cQIZfG3FhQF4O2CtZ+S1ij\n",
       "f7ItfTNiOz83Ts2BTwlW9ICrNDaZssUdO3vQ6GP7BHmS7f86wh1TZDG52iic8dyflOKY70rBnTBB\n",
       "oeoQUQT7LMe9ceEhB1MXMcFUEM7cVM1KtWaFxAZFfCVOjFvPhecfUX3XgpXbOCzQT5fAm0/THN1V\n",
       "DKdKnwKzbIhWlTQQL6eoRRw6bCpR5prXXJ85jzz5I6sH1O7X4KKuQ6GPI2izXzS3Onrd3SZnyM8L\n",
       "ciphx5d+KhCoPBudhiLiPeygh3fNGEIfsf4iYSQqjUmn8WS7EJFQsUKYOkPHjEJmzMYKzRerpYso\n",
       "8T1Zg7JLE5V5+4IE1vlkEgXsuwgT7SIen83zc8f7QE4dkVk796CIZKc6KZrAxhCf14CkMSpTBEpg\n",
       "fO+i80FdP78cihwYwHWoDBSX8B+JVbc7EVpmAjcGYEtphmwKcz7zVGyjkyEpDJchG1LdhNa1HqBd\n",
       "VyBVDkjfvBo8JDGih7l3Janj4tZZoEEkdY+rSbVqwGx/sd93iUmF8EZJMRgLTRZtEXqIVArZWYRX\n",
       "Jc5keT2YrNcvtzcZo4amM7iCT3/5+Q0ttzFRvHgLoSi2M7Axa5WaqqyINKKKW6VLNIEbaG5zqFed\n",
       "Vyaqu0E3ImcFKByCVwkqH5USHYrTB1mC4ODiG6DALS116wJpBofZKCW+vUdZ0Z7gJjMRdDTPlupi\n",
       "hTxAqTBlJZiN9ZrPGxSPYn6SVvDCvb2w5yLQcR6pIQdgrwLvXd1C8KuZMbv5NL/lHw8Z33SGu37J\n",
       "+wqQQENUuurSjvxuRfYWitaL5QZinFTT6lb3D/PpcoPzdj6CoB8Z5BUBkHJEU/bz97bZywiq1LHP\n",
       "sdEZhajiphrI4K8ubHqcoZ+d26SJY2/rgFxo6vvqXwAVDl8JwT8cmPFopYG6DjbNY/YN07LKdpot\n",
       "jzAS/D35qHjTtML8J6C6pQsoOsrrYNO9E7YWPd3fSLLZ09vUmjXCAGD6as5iEIzwx2MBTn33DA1W\n",
       "EfwudWqNeIkWvvpm0dsaX3FG/b+jbyRtMyvSLsD6cNxmAHNAdEsfPQpCdVzVCzs2gQN4cRzYSd8m\n",
       "Ysk6iveK2reT9YgZo14BKsk0O0e6m3f1lZSs2WoPhLwCq29u/H6u+Y7WzXD0JaqMM5ouWd0PH7JE\n",
       "tAfc/FcxXTHn0wfaywPRUmbHkFx9eyfOQVARtTwzHFvN+3jKE46vXPl/gOXOIalm7MTZd/rqZVsR\n",
       "ZkgIDh6ZkiL0XoiVGfCvbNCZc+swf0++jAfrf0gnmxrb3/eLB6H3HGS3rBSgKQrf02FU1gT7cHRw\n",
       "Gos5FsTjcytl0VklH5V5R95gjyqjae+VNdTrIAJCgMpZAAACfQGe6XRCfwFzu7btxXFT5BOBGNkA\n",
       "U8XY0s0Uq916rqAjsenMei0zFtnh69bDzkEBaWsSTGUWdMVuQ94mlbDTQTHvJApb4bSB49rkOoMh\n",
       "aH/sN8PAnZNFrt+sboIJeotvJwOLAH+4k3s/atzOCgOu38CTeQdK+666pO4HUAMrSIscCyrQFIxr\n",
       "IJ3L6xURMTDYUZduyI+/gV4/UaLtcOtYrSRynKNtPdlwtdttHjP4pg8IV4cZ7geYa6WZZlE1IN1I\n",
       "HqZKLKVENJ2zqWJK3cKMTEDoGdJ75sbZRaZkeXWHRn0BZOSZoyQd45ktacQ5OXi/8xhejVJKJdRP\n",
       "RVrtJbbCUhke4al5ODgRHdF+3bWT7eCoqE4PVqeDyiVlLGnSUnHdq8SAw8COPtSJxreq7d0Rr25+\n",
       "AZFqicsFvOZOhiGVjMuzsXZqYNMBVBwRjNINCIOIXFeJFFLluI2Ige6GcRwhmencEeHypkrJ0nRY\n",
       "I9xvhOKP7wVFWsXU5e+BVn9c3snyFd6+KPzCb3i7ZGEIW/eB6r9SaKRMA1fsjXtiG+tJ10fnCPoo\n",
       "6BQqvVhikLOGFZsaxM/0IOTLPlCmSbmjxiR9fI8mgt4QVL73BZbdsCfaI4UcUi16WJ67wW4cLXF1\n",
       "UVGSO2sjNUuwPRCxHPKxFQhbSqI4JKaurIbeLvZnbii28SSG/dANv7vu/ae2snCrfLsk5nUH5vSK\n",
       "d60LXeE6RkI5hEXQsjujzksAxU5cg1drps6+SPrNF+wymf8VUWjJdpQCL37Jl8YOdfn91SQvJwny\n",
       "/kenm2k2B1dhxmAf+p5w0Kz8yZrdeSDGgUthNq2XXBtWQ+w4aM71ztfmI+W+i0wAAAKJAZ7rakJ/\n",
       "AXOqH5pM2/bMllxNVmnOxpqtEAVD4dKPJHRW5N41urhhekUwV7eKvaa9dKQgZI191UznHuSXZ6mE\n",
       "4EBzInH0PXqMGuTatUEQkZDQFOVObTU5d511fBLrlTGljRkR7eMhF37Ivx47cCrLl/cNueoR9LEO\n",
       "Ma4BkCMs2ezL2r/vVp+Mg8zYo7jxHeE5cw7R8ielJx0kbMXzHvua1h+XWQ5k1/BIdB/7epaoSZTf\n",
       "tFpUXIA8ZTGbk+XykRNuf+BWGT7RpgBjrcBASkMponqufrIuR1Fg86cLEakBIQlFpuDtpTJKqcID\n",
       "57/YeqqovMSNIG55g0OcvCA/FUZWEfOL10vFZbspDZ/bh+SQkEdgLpe35un5YxAAwxTca+8HptHp\n",
       "0UMiMzbKIm7s4LGzkRyAXZGsWTEsj4glMrK6MyjV6uTJaPPsqGGRT6ODTU/vVsntWRde9mLdvozc\n",
       "V8cK7S6UgrxmcBfB9WkNIDrnGtC4ENenAmKgK/CuGj9cLAeYQKd9+P0QlQmPzSn55ct7jzCYN7PP\n",
       "XlerDVmjHYuO+UgWK2VbAGhQcM3oCu+dGkKe4gPe15m/gKhLstiRA4WFf9AbflNchCPZh4nltHkz\n",
       "0BaIDRgSUDo26acX5pCTn+AA16yDgfGEguhwSHlQ4IS/crKnPomn6/iVW3RNDkMhzOuBY+eB65Dq\n",
       "ZVlVBSVsDXUc6icvap2zymbrSTzvMte4WaB3N5bSHMut7I1BVbsaKMs878DACd7vG+b9VRpp3lhk\n",
       "k1qD6LsF5uMEwkwrp+J7vG6vcYAZetB1YKc17gVEgPMwLApng4nm+CmIP4mRCZpJ1ni7dP/aZjNL\n",
       "R8k1zhETThm6mmaSwEvSagAAC8FBmvBJqEFsmUwId//+qZYA7hlFACwUmjYH4N1gqWKt/RTI2abM\n",
       "fxOuTVHY6EqflTzpc267U0Ls0hHUZyhyhn91nWujIdX9taDJ11lMCTy/tjvj0yPqe9eqxaf6G4EU\n",
       "kJHS/6R6+ye/NBePN5tuTjwFHC/tg0yii5ytzaYfrkKXvMod8qvK2qIIACfr6dQTh8T+VNR9XRWX\n",
       "oUV+H3vctEPfSvXveTQyrfPhd5msG7GOZ3WnTP06STj1dn8aqeXuhQ2i42dlUJnuW3KWzNE+sRE0\n",
       "vMQW5NvPB9Tr72gyzd/J9sCYovt4y30JF2638J3cEslPxFx9BOkopk+f+ifST+R5hckoE661I5Xt\n",
       "/adrbolAKj3yLO4ApDb62yYsDEveAkOKEVxGvKMzpbXVX6Fij/DgVVIbJskHStuKTFKQ6UxHFjQu\n",
       "0WmkV6uAgkvBT69s7ojaui6P7br9oMysoMw1FipNG3LCC0xirMGr8Q+YMZLQHFcfnDwEKzYyTC5k\n",
       "pJCBgTntPvOZTnTxTFHRd1Q3M9PLZjTA2wAcj8pjCEBmvXqSdU0c1GsCZUby/x0q3H77SJjdsoRN\n",
       "WlH2HsMU3dachZuYWV8/8rJm8674t7M+5w60VKNl4jhH6fo8IB3cVT2FeJu5acy7RMK3oHN+WIR/\n",
       "Sc3yWKvwbskrFduT8TJDNPzhRingqb9DLP4M8NElrbfJ5XaHJz9f8lNMd4N//C1vhtpoa8v8ZmAA\n",
       "9AUzF040XVHEGjXzYx3aOMsQPbInHuRISHV3VLj11IJs2qxIHAVbRwgx1JT7uCd7gxE9kF8X44TO\n",
       "hfY5EygRSjRdApTBWherfzBeUxs4wV4eQJpRt32ue/ISenmpWwwNXIeRUtZTFsfAh3GklKn5799o\n",
       "kmOp3Y+KLsEEHHf7MGamPsqbpCEOQI2PH7Ktcy3ZlcLn0b4KxZzArbxQn/yQw+ycco6kSAcfPlIf\n",
       "qS8F0KcXjLB99a+lKvIVtvodHmFg1TkWKlDFmOG19jybe24tqA+SmKbleXTQlx/uUYwW/1CpqOZE\n",
       "mHc/numTPubVcxQHABdokGYCvvcjSuR6EJ8q9cXLFjT+odzs8O9TOk0TP6vjvR6WIqdSVK3BNYi0\n",
       "ljbnn6QxRHse6R3hWA/m0V075QKVqNU9UsL98r1yNiMEUc3EhMfjxQDzRLTVBF5opEFaW6ikoqRX\n",
       "trNmOn165HwAxtDes4Kg0L1g9YeeyxRDPqndbifK6zSctmcVn9RJ+V7r6l64oX6HmX+yMsWOxAQx\n",
       "J7HPyxed+MhQleKMYb1VQ9BgaU7zw6WRnINCBm/xtU5PK094646jRkRHx3GDuh9MKgSaoou+e8CM\n",
       "MVKdFPfJSoQpNnmcw/XS9MPLvxKMnnDwJUrxmpDuB32uYSM7uRIn5v2KD+bGjYYi38A4+djQcfO2\n",
       "AzuKHPBrnYUYNxOKh4lxMMso7SUov5lkIQu7dKjxk7Hc6tkpDsvPVKvsImFeExVuvdS6X6he3BhE\n",
       "MwfT79P1dIjosUWD+gWgIiWmo8bIS4zj7xQpov88Y7C9vZlgnwO9XQvEKNBfkJtE68xMVSSrH9RU\n",
       "rxIRjxXg3QZwvFyNbb3IxKDewKwfGvG+SQBuwIei4p1ziD/TX7BQM/XfOLme6zjVmWBbvJyXznIW\n",
       "bFY1IvVed9KYlJ/BDa1YWxwnZ5pmnKxOLHOKWhjv+3pDgdB9G9rQ+ttnQ8LuMyJTEjFXBCUifd55\n",
       "f9P02q+ZWc7+j5H8d7+fEjFT1luX747gy45f77iYAR70rs3Ykl3pBbrMbKfJigLsRTnmFE345nJ9\n",
       "0O253nUTbkTGTTziX5hyXeQLBGXrMl4BuAy3KPa9QUsBYUp0eP4eqF4x/2SBPLtmgr1pLwPD8R8M\n",
       "Aft9k2zFCDkdjIqQBkQrIEvcMnGbNRp0W/v8K9YCNMMNHaSvVp6uK43Vq3KxWIq2p3xnmkjf0pKK\n",
       "+sRaviidO8T01R8DzLahXrpFhyQeLiFk8sue0t+cymRfauqxJQIs9k8R4Ub9MNJPWrMqeiELQyUD\n",
       "wRZEshwzFshaUXfEVteT/qH2lQ9aX9NFQkTowqw0lZ5j8kUSXvvNT7P6BLuXBxxFC59cYHp3LD/9\n",
       "OKAD0LMJsGIw2fwOqZcg1Gjfstpuob/+fY/a/Rc+QLrnJDkSqIcGFAc8Sj2Jegr99frYlhQYGAfY\n",
       "AAgzEEdnvVulvUsLAs+gJWVTwpkdaiEpVMpa2+5zyoMDRVaHLW4mzQz9wduP+YRzvtwwifVYBy7f\n",
       "LNTGhyify2Mz/Vro3XnUSbnpuLGbb1/AYhj1AHNllOp03K6WHiqv8yOHJmc4nIlfmuggE90gnIn9\n",
       "BIqZFiMnspJ5gY1EzceefYQhyVl7k2DEgwlJIEJM+2cbKMWr6B9XT82MO50V4Z8rwreTNOdf2cLs\n",
       "Dhd5nd5fNCAHDlQv+z5HPSLoYIJCgvMA+eDa9wyJFoah98Y+qIPbLjn70J7VXxH1v4aoAwRFa9oR\n",
       "fmicHUu1abjYO9ph2vgABdt49mEUXRPeTyHaL7EuTLoWKWgPBNVoB/YjSIj0D86+3zxx3T5vVaJ6\n",
       "PSEZQtLbwOuZNb9ZzTePk2FnXQr5H3RsvgFF6tYs9VyEmoxHAcWMLqz8cOC6DgTc7BPqlQMGU4X9\n",
       "0fr7aOx+v06SjIikJ+tXxuUIK+w2TiR94hhkz9abeJIPMr8cNOcXw3l4z5wtfEFYghhaZNWcVQ9a\n",
       "6ffP9OXCUx6Oi892js2gOtCbWEDxuPzqMLpl74ZIV8X432vbUcbcl4N8+oMZteQL8x3RqAdwetiy\n",
       "5W5FKwlugeQ0A4ODY5GHmuG8D+82sRPrxhouAJgzvoEAiHa9piLLD5z+vDT5MSG9tR7yQklStww5\n",
       "SS0zqXXKEOnnLRHHCwioSaSCbo2nESrHArejAtWwQFzRY0v/X4H+k4ufU1AZuOZfpbYDM87UzgIc\n",
       "jX/0xHendyz01jHO2riDL2LTOYIJ/Vn5qXicQ8THjA08LbF4TDDiSBnz1Cfjf8bV4DtKCSVIBl7O\n",
       "S60kgiTV4rt9PDZmFb5QghT095o3K5g9q/6bmZw+FQpW5hF4KCgUMOzb/sSn1BA1JECLOExbl3eg\n",
       "d1va/bgVDhPh1orVXG1lPh4Sg7nzdzCvd+2sQ9y1ZYbZZIO127qgGXy8WyMLaAXD1iElPUToP8K8\n",
       "jMmr0HxVieqHXCPetG2m8YIO25W/StqDYrElGfzVvAu6MyOUcMZOAikCHz9Vv0L99V/MszW3J3G7\n",
       "c5Jmo1QQwIlIXv+odopIMwwpy+op8TP3K26notjxhHgREU082KGjwBb5cg4hEkcRRsBO0PjS2khc\n",
       "O8Ph835fR+gSYKEkaGLieyUifq6eifwArWZg4Og+nKc2lP5JZfGJr/GsBS+olLzp4+taZpY5qtxd\n",
       "xHzGqgWUIS949f8PGtZvg8N4IubW2B5qnpOHaM0IWFUmUPlD5TW1csKjsnLtmwJjU1ud5y/3Za3W\n",
       "5r1XnciUwPY4K+a2L5unOxQEYkBKOUSxyG65NYBgJrY/dH/9fjIg5+3x3ZpKkZt28MLbOlpRulsM\n",
       "WvgvIb7BH5J5jAsKqlRJ8TqHSv0B5v1un0EESKyA5ymzlN/clLElJm6Ne19nfJVF7PMJt1FUARUH\n",
       "46cTFPqpSLnTlchBDLjM+LO1k8u4IZ6Y5jH9qGMEU3lz6iSKBkaJQDhH1jqPX5Q5gaoo/jDmGtsQ\n",
       "pqyoUoVdRjG+ybNFYVyaMQloDUDCh2n7zTlyxsQpmZB/JupTPmTE06SvffUCzpTGJHjnt+WQyNmB\n",
       "LvwBssTatczh/8oMls71IOXEVY/uIvxQ6xLqcIcjNa4msSrc9C8VnbF2lfRRE7OHPPM+ctyZzU3D\n",
       "bl157qyoknRU2quzcRzAHijcR7l3X6AmQnMkYz/iDuQ6vOeXV0B3laXSe9+hjKRI/xraJvjDCPfe\n",
       "SSw4OQwQcb9xziOKITRGqHvD0wYwC7OWUM+u/EsgBTA5SMKdGH7LG2ONC3VD4RlZ/Xu9XDhjYzy/\n",
       "FlvOxDkfUTEAAAP+QZ8ORRUsK/8BUVA4IjKA2kockRBW1yz+qt4P1UO6sJvDPe5RHdSekYAsZxXn\n",
       "S3YM5jGyxklxoes5sk4x2SEh4E32SgHIGuRA1h2g9DyGwhMo7dA7HewYiVluar85SuC0TnNgyXW9\n",
       "wV3Dm9FPJJfGpRjdn5pH+ufyuSj9DolQaFXN1eT9D+kg4kXfstxtXmH+cJmVlr1ggwZcSS8k93GG\n",
       "ghmK1nmwNEDvKSbfd9FRUFVA3cOOdXxIXDc4snfs9keAGeL3ksfZzBltjECa7CZ4BMJN7BPWN9iN\n",
       "cHNb7IhYkg4V0WGSr3iF73A+thgt+9YtpOlfxXjX+sVvo2MvJveAB5oGbww0bqHgfkELiyAnuYw2\n",
       "y5/A6HN3sQcCB8pBnKfyPxplWBhaqCUAksv4CdTHmV9ECRpXZKmU5Y+QfjOjiw8TxGRHHknYg6ic\n",
       "IR37owf8ayajOb+GfDqizszqn2dGQWz4DIgw66ZiZAA3iiL1BP0Z4jvEgtIRzo+oEzde2I9xmEao\n",
       "2zlq33HoZhtSEz7YZ00yaKAKfT0wt3/TbvsGkdh0W/24Gxxb4T8KNn8uBbiBEBgwECEK3dGc35CC\n",
       "aatTMgFN+gtT4XIw2hahU6WgFkKxw2JKk9b1WZ5NT9Lj9w8sKerZUnUpsPyoCzUynnznex0Zjen2\n",
       "xtOFl4u7rpi9i/06WXjt//DyfTSXiWv5KFQ+6kufDOPnvxWs/4vjeGW5lAudfIs6/I+kL5OyhJR0\n",
       "zKoeeF5x8lX8hRTLqhwAbzyEmCuQZh+Tk43gVzW3zcmdBBrD09OBuzzhO7ZJVW+fXCTkE4ifFTHB\n",
       "FJSggopz1go6DwIO27rXNajJbRQ1WiA2eDkK4aWi+Rom0jFoPDcLfk2S4EucErz5IAp93TEO6SYX\n",
       "wFHPTdQKUO0PAfmGhhJVYwkcThp75/fXaefUfr8OgOKbp7uKT/CJaOlVZRCn0/QReXqmeWihkAoU\n",
       "3Wb7gsWRW0EoYdrC6VLJ1aT78A6HkjwZDphheBy/uWqU5dAVw4Ljjm0INzStZnsYLf4qXbeXHcbA\n",
       "SKIN7C0vdrIIN3vEV/RwTNpOqMO/59SfF9gmMaHra6L1vFzxS6ztEc9BNBbfH2FfsjiajeLH38Wa\n",
       "ZTSLR3/gJhJeFFyeydRpHWaXN0NaoResEDVYj/5BqvpIO39GsiuObqlX1EMKQhPxMurfA9K9N/56\n",
       "LrmBr2/YTOSQxDF9NT1AFcbVTE8ACxZErJ53qFw1g5+E/Ix2FUzcKWfrdp3StqkdFeXGxiXDKwzd\n",
       "oYhws95YjDLdL4EZ8bJ82fsI66v94BXx5CwStFSCCqHemiZs9K4KNiIekkhTkDdVHfwWaL90wizK\n",
       "LZpmBIO1ULEAAAJnAZ8tdEJ/AZndcUTkNiB6m8ipCHDJYHm+g1zWgiedT7u+8xkoh+Tr2JpxXzRO\n",
       "69jETQAKngOi4MnLfSKCtIleLxWVLgvUqHNFEFS64m43r634pGrbZG+wlHDhTYG6BZZUk0Ujk+pI\n",
       "ME4ngBxz5HX23ilf671wXedAU7K0ZNn0nxIDRwmUrAWKSE2ViFhRNIrLWWujb0oqaZeOD5IxYn3Q\n",
       "jQKloI5i8VkuUIdHBOvFQZOLl8+63zam6m+Pq29mT6/Ycv4/pzyy/kdAcEZ59dFqFvNEYYl7bVqm\n",
       "4Cez2ZogXo+1k8n5iQTkGnVFhP5JMRdKadywghAy+CX4+jkJXB8y0+Pwb6/8jul7Cgix+QteaC/1\n",
       "yWOVx0QPfQo5f/Of9IOGZV3WtWeSu7O1OqAVKQGFJR8viS0I8kiW8WkrYqLd7G6fL2Y2AhJbkkv4\n",
       "zxDKq4fDlCvYSxNsB/OT1zbLEsn1RDRBV2kSgDEn+bi92FN1HAe8qIJlXcrLusA5YV1eaXfsbfgq\n",
       "GV6Jt3nHpnOXNO0rSUTVLK9yp74QrSRvU3QG2F/Lzi4k2hIknYGyWbjO6cmfEC/31WlfjrLJfPlF\n",
       "ChJu8Jx/XoQgmSI5sWkF17ZfkzDNK7dhJ3GwicZ9pWLWqMpykKpuw68cIs7X1DGDGrzlR8HhqYDb\n",
       "bqvRnyratvnUpIGA8Y7GOhL0yzIcHVjiT/eM1bu7PFacfF2t7cEiDSVueygVvXrXCcqhb8yxo5v8\n",
       "pWlpG1bmeohI/9WnnNPJOATpooajcTDHZ5qHUL3uj1XM1imCfuKkHcmbq0OZGuTZunYdqjt2ri2h\n",
       "AAACeAGfL2pCfwGt7125DxBU51qe24Pyjo/lsXKSq07RsAU+C5kHJh2uJ3cvaf3wXmTQ6ksk7s/9\n",
       "LLo7znc9Hti4vsyEjII9Igyq1rUAixLUatDlnOlcbT4RSa6N1DRmgeJ74FAp6APpxmTkdQ/uKxAy\n",
       "1A1J9fXqPbrPCJ81KgfP/bNPfSEdXF2xY75QucDBp8V4fvGQY9nhw3adIfKCDzX91E4ib1Exq2DY\n",
       "YE0BD/7Fecn7D6Sml4SefUDZGKS43mJJsHL8z/Y7TIOtWI2pSJsf51WrSPiD5OmdGMn8qGqRHquV\n",
       "gMC3ucn3pWdBUlslHSzf4sYpm0/8RD7C1mE+OxsYuYIngaDqqOqW+r/cladt4k51EZwwYTQL6Hkj\n",
       "KqvTVyfvSgLg5ljwmtEi6UwPaP4G0OviU/sUF97uTsPvopHaTEz8KJunGRXevAB81Aod+dS80+f0\n",
       "JaJ1WHAueKxDPHLsJUHmTB5mIhT0BzEo6AKCAvi1oUhx2lDhgKqyuPT21k4jKQH1SC4nfMNuIn7L\n",
       "Ofb0q+7nSqI91awzMJ4VtOEmJvWNXiExXSB9fyPyzFWN/Ei082k2xjLy1bsB5UdKNWCevopiWz07\n",
       "0RPt+aWkjxlumP/Gsn4HBMhkmFrEFFWsz6Y2nx4wNX9Y/QNeys8mT7GQMcr+CIiLfIK8kGg+MKwc\n",
       "Wec0GSp1Kus25Pxg+YyAr5F6JeoQx/4BdcplBrUT+i7LexeBdJD+oya5OKOzhi3KugAE1vz7kRI+\n",
       "7E9JH42GWM7LMbqKtwFB3EFyzxU5rI84yz8EFVtKO6sirii12XPQuWgI6YFx83X4qOCwS0wtcpnP\n",
       "q2Z8Ro1XGGj8AAAJ50GbNEmoQWyZTAh3//6plgDuG50AIyn72Toes/6IAt/go9iiTAequYzqcOkp\n",
       "W57YIaOEM+Gx5cOTzSEeJQtzSRwHwgWE9/THPrJFSolwCllLJnEa8h6b1DFQSbing9rK3wD/OroG\n",
       "W3b0hveiciRdU9Lex9PXCaRDmvw+aG0nRJUSwn4lvDpUFrpEISplgJlalW744eL6+X8xiwJqcwW0\n",
       "+ptSFODL1K8fhBn5s+IqPkF/DAzNfypxd0RcnLDfAlRxG0VNKy6JdpTDblmSdS86Gc9BtNFl57V8\n",
       "Y8YszlYt+YpLn/bDTn+MazmgszaMX2cNWcoRaOnYUPnAWzAhkhENNGNmRH7Hw73bwobvKzjce8S+\n",
       "otAkUFa5WjXCepIAxOMPkzsq3Fb7QZsSqISRTcnntO8bXRz272AwU8xqpnrG5eS5G2+TjzmXJXN3\n",
       "U5emRNfqQwiGsTHSuzoq+zKQ+D9SNZcN+M/sj6BPye3gzygfomggpeGZP+KOEcISkLJYZ1GDxGDb\n",
       "QPBqgJxy/TZKHvuOWveR2Ba9D3cUeaEwAt2i5OnZpgQ0Krl57LWXVWPptbC8ugxK4Cel7C7aiH1S\n",
       "eXOwCLQ3P3rJtWEgZOHJtQ0z1EljFh5F+reIRoYeILIYAdyZn1yIVfn61ZUIZ0qiElJbMZJUTOPt\n",
       "LlSoE5DOqzQjqfqPFosx/pai0P5H1D6HE8cfBarMNgTAU1WQ+/nABpOq1+QNE+IeApbx0zwXqcAH\n",
       "zJKA6dSZysAGoxVI5KzGhrDdbeK7yNBsrGmq6qeijQxhV44uZEBo8QAdIH1xsbym5trOb7qOsxdO\n",
       "b9/tT5QNtUTRSLCQQgepOX0Oomn0umXGZ8H5hMk2h6jPRRQO2BsIwOP9GyILZS2ELH+2yI2DnkOH\n",
       "22CMkAQ8ZAPBJ/6+jjqOa+gq2kD6k7ky5yNvt7/iPScWVyCxKgvuliKxwSwhEON1kl2LK8yK5WRG\n",
       "p5WKwGGW20oh0A9e2X7dqnagqX/YCHs9SGI+bo5OxrretphoS3dSLjr8RTigo1jLdtLHKD8GKBv3\n",
       "n4K71DlpILX1Jq7W7TsmD4niPSNmvhwf9eo4tXOBWqCfc6xTKtdSZUBpBIYBk2qhlxTeH/ScnFPd\n",
       "zxImZoD02chmXHOayQxKlny6sRcNkKqzFYSBJf4UPKcs2zgwTpYHE9mpjeowk1ms+TPfIoAlIe4W\n",
       "KTQeQBNxROsJl/+NPimpw6W+jQ26bnYDvsSWRmNvWBeA281BTDw2L3pFyAMB9svFUdKbmPUTKuCh\n",
       "g7Rw3yOakg9kWTmgtAypMR8x56M6ok8qLYmae+On+D8t6cngkQnEYvzcXJ5TwJqfJq7h0xTMJ+Rb\n",
       "zqHdvhtlnJ9vtsJlDM+4ltfvRIoT9fDCFH209ddCHuRqsxR0B321ovoEt9GLp+FCqc6Jiu+Hr7Uk\n",
       "B1SvmlQhuFsJ1D2xoWpD4EqnMw6ejeKuEgLb3fnmrOPwhCN9A0EBb4+5vak0rtcVvXWWUvd2Tah6\n",
       "2FwsLc/eOtX2/Wn6hAiVyDDTMKEzSi4OnqKt8X+dw9Zx9xwkOy/3KWFeRusZckRId+IHuuy2AYJB\n",
       "t8+4dunPn1Vd2GKqW08JSMFM+8KQ91ftHW7w1J7tpaJsPSactRSsHP6v2BwXxJwJQpzgsnRjpUsi\n",
       "PIGp2Nue5yImG99l0F2dhgfe3d4clAF76Xxl0kld3COybdk33xvZo7njYYmPAG4rsLP8B3XvqYHa\n",
       "XuoP0/Gf8WiPwLj1BVGMcWiTtp0AklAFjun9xJ6tH9uURvMgFpU/iT9rWIbQRfTOwFYr3z2oamfO\n",
       "L71K3mZ6yz2QzuarFnZwMdsOXXckwRi7ci8P4dOwKGPgIsCYphVzej3zIziN/t7FVDc3KRbdq5n5\n",
       "p1fabIHJDzYDTAGj27An3KVc+jxXFKarOE3BoRvjqZgC6regWQQPqon+qiU+P77EfCwCvnS4XJOK\n",
       "/lX6yd6plkF5HydvGjo2Hn64GaDImegWtgwqo+Er6gyvqLbDCLu/URYYN/YNhyFlvHeYkl//ENIn\n",
       "aDMhbshd8uBPRDahNdijqau035hAqdM6ldEzr01EZsYpHF+6mM9CXWzD14Ue3eGlKVtL3BzoZA9Y\n",
       "gtctF+2mwNa4oEODGdrmCD8ul9CgWuMmIzyd1eSSo4drLs+xHuwoXSBSC/LG7bwEcQG62cg3lGcb\n",
       "cNIfmv1TYqQJ26azUsAnjZYkNA/ACnAfpxJifHFzPm0tasZTvKCG9YWPzCqUjTr4ijdt0FoO/sX1\n",
       "i5iVPnGgcyEXbHsDejchLjSB7dllgE0WA2Z1OhLJ2xW2C+Ha3egQP7vjen1qyIiEA01ik7xU+4x0\n",
       "SqmKUJ8kAZWJMnKXs5XqTvPh3bQt1CG5DmtNgFS6zX4Sb8+f8/Yc105xSHzEuliWruC/jj08SMVB\n",
       "PXtozoV73h0qe6USRTCXpAF0EG57+ulTx1vOmTXR4PigVH/GUtZP7g34TCxwIV+HKT90XRtlDwKH\n",
       "HtG4CVIYlqh41icX+C77AT3OqpE0OmcjvOEoJ5LDAbxzQhthclBcJsCkgqXOTXlpgIQABwr2lyVb\n",
       "E5njDsS7FJ9KcqMUid6TwnHb9xDUQi8pQ4bwlDw2uk+kzwNS0wnFlOUGObzJYWCgAYSycpk+k4ON\n",
       "tJAgdqoql4inq3/T0tPaqbNtNTp5j5CLrmhp8Zf17hHCDJTxBMvBVeJVl+dSe4OFLsVraeWgnaUr\n",
       "LNLI8ckmqieEilxWYsORrgt+DW2TnbgAu1vsb033+0TiwAv3rSDmXKkOwHlVMT1zg3pt54ME1l5v\n",
       "eLDcVEq3r4KDL4htIMBbwlM1o2aJCTTzKlOxxjbw7YH3CkBZ6MookT0oMigXPpriFecXmlXQ9GZg\n",
       "Hy+4w0xL1CnBMyVohF96MoLCQ+tgPXTlpOt4vdUKaaI/JAkW0BgexYtDfClzSWqu+S0HjJVEiYSG\n",
       "bzspOMOYxQm0IwDB9x9zp0kvZkv5ka6qDlujXcaD702qtZWJzZMCh+oU7BjS7KUb65gITmfpi9ve\n",
       "55U3gXyp1q6vh7f02za/gpyOEKKxNzgwgoaOzG9CyMmrbntF3QBPVcu5qEpeGDSipeLfXKCAHMtB\n",
       "J5Q2XnpT4MlEc+mRQiqPlFwhhPG11zhqRMFT77BRtnlomSh2BlIO6yQj0dKUocmofNJRVuonTb0H\n",
       "hGzSCi5vFIYtr9Rm1wczIuxcW2hp2oxTZUNSqy5C/sB8dYBvPIIBHKc/b5kTDYjISihFEjK7RkQR\n",
       "IeP33wHh/dbpdu0wUK89IoMRJg4HMbxuxy142TBB00xciixDJfSvlqSsr80P4QLdQoek2SheY1Ft\n",
       "tYzbfocacBMnojR1jl883+yQUspfpdIOBunFKLx+8c87Vg8pEXkKxgAABPVBn1JFFSwr/wFZy2a7\n",
       "+8ncs6fiTBRvUxqZCOEEaw8WN+YAG+s1conaJNJfW6vjOS59vaBLjDRuApuzd6x9cikWEVFT4WNY\n",
       "BMwzr5qVV0nFGG3uRx8Jn+dy9IvM1UJB37TAIcJeYoS+K/owrWkGIjq3FgtUJO1CnNSPJhv4pCGr\n",
       "wQir7w585L7tgw94NToZ0iwTzFHXDrRsIpDtDGnY1i93U20ca8NKDUS4h3bq88iGPdgwVRVXjBy4\n",
       "neRVB16OO34L733utNKUddb3pjp2t785QEVLoF8uRcGCVeaicVmsU+Hj1OTDSU9jsZGUIo3EcVKv\n",
       "EV3RdvOZsOzv1m8/ykyr/N0WsZKSEZu7bFnicrBxjcIL9VQcU5C/qSfvBL79kwxOcLcewHsRJP2y\n",
       "sDFe62AyeDEd1hIudLgJV6UE9e0f1fTzXGrUZMNUHP5qKdD7d5oKB4Mur2m5eK6Nih1DxQ4bpmY0\n",
       "cfIqPxulj6l6oKECmoCJqGEWqrdKrRt63ErqD+/yfqgpfPCsvbq1WpQNu0RwvuIq9hSPH1L23Twg\n",
       "1vwuGlVFt1A8A3I/C3mdEiEYlrA3nT+02oLk2Ghf80+KrHlNQ9lDEHSBJuMGRFAk60vrcmuttL/e\n",
       "Yd3JHciCjg2yxJorXv2EWUVtCFbFmGueRiftRjqbV3IwKvSoPOGIiIVMSzMkiqixxsIzwvyGRfMj\n",
       "S7BrXcYsrQ20n1QRKTrUYMH8k/SOVybCh7cxeA4gGKC7nzhXYIah3sctqbSGop80mCCMxp4tyOz8\n",
       "kABrzKgy9NVEFKuDhb7kEGFYGfVNjJp+MroFm0FRl9McmCoWEPmRwFv3q+1LBNYHFVWAEbxhDq6W\n",
       "QBBo1rQ/DrfkiBZGqj8msy4nO1HrK7xD5VzmLwlBp7Dt0N1aFKDgoUWWZYjHy1YVRi4EmICaPJK9\n",
       "bpEBT4sC5FcBCeGiuAhxW+UAYwAiVduZ3ARSAJcU+d++AT5vkIgF8UxnwqbdzNVsOngwDm0wH2LY\n",
       "lageQyzsCcy9hQpgDS5r+5+yJC6/VhWntEdBS416h3jquFJySdt64NiP9xzUhgopguUNQ8Vx0q5H\n",
       "9hd3B1fu3jKlsacsZX/5e8HT01eyKBUcgX8Yf6pHjNbJ0WOCqwWjNwLFbWTkZt/qLUWAMuncWcji\n",
       "AO2zzjWZjMD25IAqMOAxdUts/vDLQ8vwndH4DsUvjEaLfs6grtQeRzrgTR8qtpjU2CvmHdpgtJs4\n",
       "cuRL5SHmKGzp4SYW4RAF5UyrBQZ8g6edmbUhzYN6Jmf5gO8g88V4D0fQ+GB9GxNJjRfm3Y9aAZ7O\n",
       "eC+BK3QREzEK5n5aMSZPcqYuV7KCdS7EyAcSXszGgEFmC1mb1IL4ufSfL7w1aY9aq1za8Nn89cR3\n",
       "rE5yKUqRrjeJAfB+9w/yj8ZaW4iDB7VLhEmlgGlpQmK8LypDpoHlP/hQvB6h9q3jN9kA7wlFq8sd\n",
       "XWM1eKPrd2cRzyKS/qZg8uk5UDKVIAKySquaVOYmyTbhnNMYAahYv1LvX7S79oabcC9n2sO71G39\n",
       "uWOKxFLHpybzcIJ0VJ9JbjWadfCXr775KOwfUWfaQIVX94OHJTtu7cUC9EDKC+45W0oiBrPepYgY\n",
       "nwNx0sQaeZt7AvWCpja9xkLzg1DdV5UrotEvSJDsHezmnpn+4f30QRCETtYZqloDTQiM6KIKdQgZ\n",
       "jz0AAAJGAZ9xdEJ/Abfyzd03pLTq5iqMsYowrzMQZQwkUO65aTJAEHQ/3olUMDOOlD/mBNBYnVDg\n",
       "mhH+zBrPn0Yp5K1NIIQ67VKZuTeLF9xnE1FuKD9FpWGKIIhdeAltRvM/ehubwfDNrBbBfYO6xSfz\n",
       "mb1LAo7aq5h/GSJJDm7TK32GIRiitcoujfzjPxdiPZr2IBiXKBv6v8tYeWkhhn+dfdHPqK6LV3nE\n",
       "spcmeLWV3l3YPh183Pl3o2q0XR7Z0wPmFBXeiWirn/5FH6qF2DzuKX8/yjgzDrX5+SmT1ePYOinA\n",
       "5Pb4Ogiyuh0NP10c5CialDJ4o3i9vEB03Rl8I6dEL+G2JIVVKpeo4LmbgSisrO3u4rBY4863u1DV\n",
       "yin+TwWddEj9KC08PWQ9a4SI4H5sRzWDSzaw9iH6R9XESAs9yHD2c7QEn8BLz4nN34qvK3Z3Fh7Q\n",
       "zjB6B8RFMiGk3FZ1IVLXBFdSjpMfwX46h5qcvLmVCLKQiwiqeXg2+3b4kRHJenL5LQHqumOpWibC\n",
       "QMguvxn9OIWut8JGtcJTDI6CinbFmbKeR9WqvTOQdh8pXltjkV8z3kPpzcbb2ZptW3LrvKPuM3VR\n",
       "t8IxZ4/sNGSo8kBIkC+wd65Yqwb67DK00+Ku5wld90KeyaxvSzWTfeo5/CHFOXa99eIwQUVUhK4Q\n",
       "710Tc9Pb48iBs2XmKPcBLT8txPohBEW6SKNJG8hBSy4XuDbbWaQ/6jiHpyXYxDY5fC6fpaWShInm\n",
       "wPNU2fiUUOxdCdG7MmsZzunAAAACQwGfc2pCfwGt7tO1ydcSAHZE9Csk65LqbGwEOvz6+gQBu2a0\n",
       "rpmRM5V5fzfNxPwW8AIWb3Nex72b+Ci1IB1zE+6GeGOskydlr00MHADEYM3zafiZ3HklhH7BQ8sj\n",
       "PqsDKD4URgalYihmSeeF1CdyrpGpnsGKxxbl0x/8RWNtJ2knGhhAATgm1jK2M/aDZshAFnkejkfG\n",
       "dzQQp19cI/NCd0jc3Z0/UN1HS7zLgyEINHvjJY88QeH6EKCIEyjKvBn4rNOSCoKDFefmRkoKHrM1\n",
       "NG7WvK5EhYHxhjw/6tDp5KKiViKcU8ENsoxw8MLO0siiKwTu9nQMIvOmC5bMnSSX1lL8g7yUl7CK\n",
       "VXJqLT+inodAjKRvFDwjRw1Ux95A3NSqTE/4uUD2xFi+jLlgfo6Zdvc6F8ta1WssIYzOKl/Z6C6f\n",
       "fgzx4VOxzQg9OFJTRnqKHKnxiv8JZE8Q1mOKbPq/FRy30rAAMfVfC19pM6qY3kIiin/ZzNqGLhLm\n",
       "avf/YKq0uSg/gCz2QGWo9t3YjGxuq424uo4a0OZ+QcBkrrUMj3/IbcPgLCBXXskFVatDRjYTAnnr\n",
       "Hqj+Yegrtzl1LDu6ct9LdyI3XpAPXzrepHoRB9RbmTNpi2M9k64qYXYxMflmVoFQzTrz33aOpGLj\n",
       "05ElKlUZb1hN0pVuuD17ZfSzlgDLT9HD91JCKkaoyP+SGgy8sMiS7c1vr/ws5X7drP7uqGAQ8gRL\n",
       "IgMgJbDy5CeE4iQwrj9pSq5Mvviie20U6js/xfXziAAACE1Bm3hJqEFsmUwId//+qZYA7hlFACK6\n",
       "fETU/13CProHxC3gRt0z3QwVs5Z8Q06vuDppCbIrgKS8tLxa7kisTAekIN015Y7fIGuqrPH71JQs\n",
       "W3uf8OA+L0fcOZ7cMeJHCCYi5uPduserYvn2PzACLs7wn/FQKDeX1btlSIgepncPGVj0rH5SGRED\n",
       "Yofags8BkJOOmEVhXY7VMhyjSCaDMm6P0ZSdhtuszypeRP1Ij0SM/Ncw+ocofnMp+wCYeoCBWo/w\n",
       "HONK85XCyMsWKC8lhgzUAwRgvlxuNmGZAFq//yjxIC70dr4swc/y3CTlgZNa4RST6oCE1gG5PqIp\n",
       "p5uRJGZKiraL4B3qWwZ71JGv1JdMWCCBW6VoSMQT7MiJs5qGlFBWs7xqMMf8/YkKqV41UHUkcWtt\n",
       "wdWd3dJSbdlAu7+9S6098o7/dpqIiT+ox4iMg/UazpVxnHAqF6yvh0hQaTWcZ6zWJhNp/P0nZ2Gh\n",
       "AgKwihYufq18lvAzZhdPNbh6hkcPs2UwZsHW+5WM7EbO6bnSr92lAyrUguFSCNWXCC7fL3DTYYz/\n",
       "7UGsUIEyvlHtCvXVaVyODcGTN3Qi4/76HS+G3kiQlyxYdwpd28zgkg8b/TUA3mAPNoDbgoLQS26D\n",
       "9X7IZhLOOZy0bBCS6/TvJuhXYIUVxdjLMqQi1q1IQZslTruGndFjn6pjm4qiQwzbE9v2ORniKhGi\n",
       "WgxrXqkzBk6XfXcE8s+QL5KjWlWMBXGVJwqeW+9m+Ncvui1VZz27Ij/bXEsEzjtJMf+s00sfsyI6\n",
       "1KQPCWsTubHdFUBs4ejFpgFhOHKTopo0z1XMJZdK8MnEEHtgsR7qOjr3eU32BhICrPCJ8mbp+ZDL\n",
       "QeEAcNANJO03uhXUvK+xYyVtij0HCIEvXFEaMGueRxgRHam1tKfW+VBSdX8ymXdRGpDjP4nL3Y7e\n",
       "GToJ3Dtg2JDGzEYwhjbWZN2n+peOjyFr6TVCuLKve1BSzCRl6B8IUThqf8132kFMlDyJEW4sHbgv\n",
       "kzIAG3vk7U9C4VwQf6lJ/lBDLpW061WAhD85LcJeRIxKj8fa5pnl0CGzXAWrtCdUiJE54rmdFRIP\n",
       "+BrMmFLMuA2qmfymMmGIduiFSVzBN4fxSGW4TqPPJiNKadRwAfrJS4RuVal5Ha4Y/yOdn38+jb9q\n",
       "HLD3j76W8VJIzXNlyqOUd+rnk16/UWqH0A6tER69tZvWsfMRCWFItADPfVKx0QjMCZDhw6tj6g4j\n",
       "JFI5xvlHi89ZBkO1uYmxnrAGvmOoyJ5RLGzbUOSHbLBEHTwhzwN8W6dIs7xGGNlLSZ/wMVGZ9s7O\n",
       "stCSBVSt6WSiZz+dQCQAXgljAaXRqZaWxT86n/VlSheB2sSjR3L7F0l8/EvF98AB3Av40wA4NX+F\n",
       "PKietaHJ5+Xbwm8si4DabZwTYG2NwWw/27TH+bxwb1RxWUV+RdiT4uD6Dag1fVCtdPfAjccmDO/q\n",
       "7Bx2BbBo1APY0WLp9pbOvLkMFDxn3Pmhl2/Yerw/DC8jP+E8+sw2kBhWPoDbvPG1Y71HoA0TYquq\n",
       "hkCAaFUS+y/cTFOSwxvjVlDGS3tDqiyZY4HZqAhc51HAMEouem4gUSlj72SCG79oaP5kzt4B42QP\n",
       "oXsy/ruLM8seLgWMCflGL33Gp7pdxojGaO42bMZDXquale6hJMyIG21+NRexuWxioF2WZubU4YZX\n",
       "k0OfBHps+VhzckqqIWHXbu51TD/VisniBF2z9GWnzq7v1TjYxedV8tv/w2jZe6onSss9eihKcu1J\n",
       "1Rjm1YTlWb+u3kT/cuVvSsBqiP1kMuu0QSgJFrWDZa+ifzN2JsYNK9BePiFTFdA7/4/ST5/tXyQM\n",
       "HmQX7WnkPFSQL05fOFt/8tXkTNXAAlAiXGJx07S1Elb9b+2Tp2Ic5U4Pf8PmcTFZQEklgkz1tiU7\n",
       "/mDfVdsUc3YK/B+GwoOKQ/tvb7MLOLkCJA/lSdv0AKz8XU6EgivbRy0xQP0jpnlNWDzMC9n4t/bo\n",
       "9hnHgKtPeCYJSe56VwhONHf/N1QcY5btcQpXRKeiUlAFGVoKpjmvexkpl5IjTr4aawI2jN9gWf3c\n",
       "5jIzQ631N/nG81ntJB15eNckCLLgI5IGI6iXf7wwy7A6DzEuo1iZUuLQbefRHICgPY1Upp3gixCn\n",
       "NnGLUnhC51W0/syK0oK7Wo3TJdNb0SbfET4bMxgn7VgG+OVNXckWB7RD2O1VWXCVdZ6149qH5J0V\n",
       "fBcP+eqoVFDW6NHZ/h/Dc350DbeQ6P0G5WOUytLS2vj6cSYBrKML0/8QpIX/T+Ab3qN0fg92+lKx\n",
       "uiixtj09U+oDYRFh7Ybxbt+Dh2h+8NoZ4wLtYHXBRI+nLbNYYYqxl+dZ38w41HfqP+K4cSw4jcgx\n",
       "KXGAaXv0upg/NmiAGoYAQRxTEZT6T7R/AgvcMYqe52bpsoYjH91ZLiVMEo9HvKoe+f08wT2qoOu2\n",
       "OJcYaOOvj5Wpn7Of9dsrLsc+8rPk0K3U2Y1r49GmQu0Fc6RV6yrPgOjsyzqRpt/1Vd+qgPLN3tnV\n",
       "XLM10mV3mEaFD+mG7aY4qEStGTK/f5jHpUVXJZJ4HWuCbcLOxCR2QAg8X1d7f1eJOKw5WtHygBhe\n",
       "y2VZfUuxQ6WbCh0V0j8QpRRtqU/YveCObhFMXIGACjZMPVI18K8GE8HVaAZ1a2VjR17ih2Oba+CI\n",
       "i8k691idLFUaEUa5ia/g5V+Vo7RmTYUdDAiMfktA6cPXPKA8+OmB2y09GFnPlq66FtaZNLfC/APL\n",
       "Cjmf1rJ8IB1LPyT9/cQy968CfVsnlCYndzcBe5HkhY+88HCH8fghVAtqSK0cGJsjTF0hAAADq0Gf\n",
       "lkUVLCv/AVpofVGFDlEgRjBUBWLiw64GH8cIJa4Pq4BGI+HvAdP4AqW8KWarOLhKCaknrFxU5F/i\n",
       "mogf90AKcQrjPSnvTopQWsGNYOpVXigI4yQtMaJh2JaIIvPrY3oOw/3f0Kj+HcTyPH/x58TKc32n\n",
       "V4syYM8u9j4RuB44sow18VVXViDiQri/ch0AzMhbLPCNXbs4Xz36ADtqz/krzglOOddbyaLG+heY\n",
       "8bz/kQpy/T+LolX1UXlWsmjwRch6WoH0drBf2BW0rTI1hyKcIMxqkZr/1yTNwkXj8aTCPNGSapJ5\n",
       "kxDqxm1QavywsJMVmrwkcoeonLGBJxw1nhjisCSfsnebNQC20y3QkpuSPIA7c8kO8vooBVVmsRpg\n",
       "x9t0JqarzXWAxYim0h0trx6F3CQ/58Y6e4/JNvMKhuVN0J4DDNQEKst8S+A81Oo38oCCTJbe4/ZD\n",
       "24gx2aTEJslLnY/h5pOuudo69vlWqwlDe6At5UoUi8K0fSQpp34zyo2GsKKXhWosFMjrrrWLzRIO\n",
       "U7puC/QISgD9HOu4Bcj8iMjnlfIWJGOV9HGmuAcv35SNEcCo3zuJiHBUr04BxmXwawx7apMUcvwG\n",
       "4PphpZcz+cwOX232uv4BTnkj14y0X0R9c9OgznlJgdFG/fP6Ql1gD1UZqp222KwL/QBfC/PPQM8z\n",
       "8m9BC1X5PYNlXg4tGoJ1YQESdrfF/hfPQqY+y/P+gBtvPUilPPuVYgjt1670/rQJ0SM7ZJiJCB0m\n",
       "MuL9WHyH6qdHGknGMk7SZ8zGSn4ivnT5h7LoQ47EuCyb9ZS7v4kbBaE8Sg8nULoojBhg2nzeuTac\n",
       "LZ/UxOwLi/9fv8u4BjsjqbT7Cgyn/nbB/JvEGkr/MNizaI1nYakLwyhzl8WmP0yzFcDdSs0dN0VP\n",
       "cpu8C8E+CcBWpkg1RNgnrA/ammjGse0d3QMmgZgxPM4eAf7ZVssraMYTDoVRjaUJgmRsTKFvad4N\n",
       "GoqGPW6FuffxXZCikO3SiwAXmLmr141OAB4xK1TfojPqAzflah69rP2zSM1dUByJIqii0rvvg8Xo\n",
       "lMVZeMVwxoflbsCfZRRtKwuIFMDzZ8RYPP3wYurBbX9NFpNGqxVRLAIF+3k7G6RQrjtINKQeItN2\n",
       "zV0GixJ5pYTEBAFSFEHNJQ+Yul73sMyPW4WD2bH0p2puGAzLkHfbb2JYCp3Pg/iLXLBOjv0H4Es5\n",
       "y1xY0PcKSi3DOzKnzTmLbRtDq/JQmvjIIAAAAiQBn7V0Qn8Brd1xMG2xhKd7WdL287iDZ5FwAxTj\n",
       "+rxqz/ZMQBT3swvzDzTXUfSUqVTBPjCKQb+HqAbfwYOEtNXweVLVK6ZNIWJSKmhJkEA5o6YB9YcX\n",
       "3KmZZQOGURARKyWadnMDR3ClUT3qUrAaOzgpxc8cUfvd5suOY/S6L9ZER0qKxIsWrqbM2OliBuR9\n",
       "Ix56cXJ38GdSp6ztbIxQwqab8iVVkfr4Cn0nbVImz/dCzDWndYahwbSp1hcPJSjwmzBfr/e5TJC5\n",
       "FDrLxvdwjb/QPWNPnI4V6w9KlXzGROqPZQjsVNHAPTx+Xqv4w3TT1MCJ+OimUDqR3/RFp4QS6FWl\n",
       "Chk0sIS+p7Fw70Swt5VyWFe/SGCytIrze76GVuKjFkvku3zRWytECXnFf0G7pn4AStOTRha+SYjm\n",
       "Jg4elSWCcKSwLyeNavhLyrYaPAVzNKjR8UNseLdHflQ9XjsTOQY3kALN7ReY/lMduT1zkQxewlrl\n",
       "RMCEFizo/91FZTNiINca4G3+5JAPn5Oyg85lyCKv66AG3idqX7DW5M/6PGs9eGZSg4+NWheGlLWd\n",
       "H1ucDZ6oHYvgdSsc1A7ENSZm4J/HiLFafznGAGYEbfYETgZfnugnGTJPwjsDtrVHY2jWvwUVCc+s\n",
       "fgLMmwLKujeKZG07dUJGahC4fensxr5+qdvshDUF4BDWXiu4l8asfMlpDUSOApbbCBZOc5LMG1Nd\n",
       "FiDYMWy1IQAAAnIBn7dqQn8BrfrYEmUukyiBbhy+t49rIaCtbJXxPxY1x86gCwp/98gixpJPqAFE\n",
       "ah4t4cqQKSuYBSaLa90fC0ObwGlCfyCQ1daNdEqpoPfAuQ8q+pNJkdMWXcXNZ+dTrkSf5ral+21M\n",
       "0+thEfzTyDNhYHIU8tpMiTOOonWCBBmjf5ZKd81FJn6vFdIGSHV6AjaszIe4X0fWC/qjsGc9SPYr\n",
       "226/mrchfyy3KoAJ/GSt4RFICpFEUna0TOzMHWX0e9dji1rJUk2VXpPf6XEZdQoazvIKh6AWu9UA\n",
       "wwJ2NIqcp7b6lCpeAIgNvnL7BCNtac0XIfQuIu6P8Xiz7ahJGWtoPnYPkPek+JgbHWZGu4jhjq9t\n",
       "aa0g4fT+VjPDpSmbXEY9WJfoR+PPA0Mkk9oq/QBkUSqGc2w/eH2RdViTR63D+6znNUxcPmw5X+NG\n",
       "m3RXNaoP9u6ODvlgZfIfQAo2ON/dO/vHhSRCigFOk1mveiqdtSvompXeaAVZZ0tYINuibkZ+XuDC\n",
       "FG22BvBT34w+kNqHlaXie6Tz2Ba9Fb8wt5Vobwros4xq6IfEe8XqHLFxM91zA6YNrBTLQ/4n5yYE\n",
       "HmVZGAemUo67Z8GBdxZznjzhfstMt4AtTaY1gKUl1+4ytsgrTqtF6zevGyv2wGUNfRrAjBrBM8+7\n",
       "uSSZ61ZP85vpPBRmnlPYW9QLaT8NBQPwqF/3vNgI0qnsT3tLW+Wh9/J1hQm/HiBY2soCzHXUw6Sj\n",
       "zQDShyHT9m8ScIXkq4QN/ppW8iazlA5PZw09+c1EBhZ/mEzS+UMHie9hXIVmWZw777M9t8KK8F9Q\n",
       "VSsAmF907IiqIQAACHxBm7xJqEFsmUwId//+qZYA7u4yX78E4ADRnv6njLNnZWWWHhrv6LfNMRtu\n",
       "K+LT6gR8KsHDuj/scge3MoUytu8tLw7CW/wD+9dBdErVJc5ABL8J4W3GWvVijXMmnJ2r+tyICQAc\n",
       "Gsb/qKv293vhXX4i7mtdEC7hmwvkWLJWqFvFe+9cCWpBHZPVIgZlauxN6Elxncvu7fZiFMU7aloc\n",
       "m7aIIBRtdZmrbeS7w9MayHlXAf29JtBkWG7jxXcbShrJLL8EtxWi9g2szJaDr//0Oj4tN/YzDXn3\n",
       "cQmGVW5HMZE9d/S2r4OUzG3BLDuVDijz4yJjhT3WgSS7XW02BqWYQZDFdPwQ47v2OxdIfkttA/tT\n",
       "hgKUKuI5B/p3o1phDYCm82UXTmRMqWT0XUXdDUBncBBka4OsbV5hIwjcSprIhywPhvNnfQhN5ekN\n",
       "15hHf7QMj6ojrCaVKHT4RTOnDGXLJlMAJbjV5BHYJt9iRIlVx5XeuonKkasPp8swufBQbAdBnmWD\n",
       "3TkdP6qKUthYKwoOmrMcN+2EJjZ5v8dy3AVT4NvbOlXrU1QcuJhLSERytjZUnSdjO1VB/heZc1qW\n",
       "NXzXW7Wz3s790vGnDnastlvjh+hZOgL7A1SMtLycsnuiQzjXsFRr4+YQvHkrwJKjup/AYPw4OCK9\n",
       "8fcta9TcPFGb0rkejZC5GOrlvexnGDVDFXXUgKQNl0Kt/KELhC8JG1wDqGvJw6lQEvDoPHTp2BpQ\n",
       "F6vV6+b/ZDhGeXBmwkeJXDGMFvjU3GTsfQMWhPThV+um+GPfxIcYG/PEtpRW4JUr/KANO5tdilhg\n",
       "EnTsuNSme9rVxAH+xUzHpdoLrRRJPRArv9SXmzMFcYF/4PYCyPwzowFOdTbgy0uqVYDbexJT3tNU\n",
       "eGHaPUcm1j28u6tF7NaZxw3w0CdI5mcCzliFkbIZ8cru2TTPqMp+EihNqpoxQNui1V6E3rxYI3jC\n",
       "TDNRghMg0ezQXu9ctZWNo+6dchlpdaPvATKtBfIoC2NIRDl2/HcywVxY0sCFRp5a0T+iNJfXGTp7\n",
       "HR+6gR3rrKGUTlWRUWs8CYF6B1NF8ELp8G7czxpaV6ftz5D1Qkuw4qnfZcNpWNaqj7uZobDcAjHM\n",
       "U6QQPkO4FHkIO2CBPtt7ubiuVFD+iblWuL1bXTHOdKoiG2pnzTTTQO3hYrU1oHxfOGS6+trwUIB3\n",
       "WzCXJrsI0YmZoUnXknzLlbTfsEawS01Rv/8Pkku3UBZ5vA2acbrHz2JvdVcq2Wmf3bWfzS53bSe0\n",
       "NjYScpMObmNF6MXVhtshYsORMS64qMeGd+t3wjwBxFe/HAe6/8hD6DFxJ5XbcgIWpyf9DjKZ/TkK\n",
       "3S4rkldkKRS0ChKyRdIDdLYZoDqp9tvMnyL3784oLA1J77U01ypr4BkEL/zn+HP7rzxodVEVDV5i\n",
       "eGR/JJhzOl28DWgSELvOQpCuViblcZ0jalGE/GaW4aEhBu7LEUFpydPsYev7n4K4OLSlRlMS2vZx\n",
       "/zd9E6WwxWvePVZ5fyYWEC3mC8OsFufD26JXiMd6TzGNgvD2yjw/2MTmkB3PupmHbNsZZs6Wxx1Z\n",
       "KIzSdE7gNA2/a67Jnw78oM7RYrpb3cKQ1FwYFs2Ao+h8wpuFKg7Yw3RDCl9+7kKyTV8xGpN/mTtg\n",
       "dvb18MZzNDwTopA4Uah+SBuiaNQ5oGyj22MMBRWb4BMTx72HrHPMhCAl+4byBYBBZhEDl+UAEN/M\n",
       "xpLzX/V1zfyjQRPhhe43gzb+XekxrnshohIwQWEb9mxglRShlxnnB6SmH46r2yvp6nj64QkugCKQ\n",
       "F8lJib3zdjq8+qk2JgXcednRFGydXQFX4zCGC6Dy14H/1gaqBljp3kBxzv+GNVC4d83q1sRVoqVO\n",
       "eJ4ssj+DVgKl59Lsqv7y4O+kQqOE8XVVx4qbbgS6dgZXg9b37PelTgv4gNI1xunFKLO1FMR5fjlZ\n",
       "X+QTLKik/gCCmFC+p3Zo2erhs+2cNkclxQs4xjj2qyQ4LPX1aJr0GRfIQAVgxJa3nH0H+DdclEMp\n",
       "cz0xH0fiUPrDoycpIh5vtsNtrEyCNMqpQjOuqbaXevr3XQA84R/v3WoQOLL4birVpC9KvO4PceYk\n",
       "wAxuA9saK5T6EOUjrJOtyvLsAX3LHhRdFx/piG5VDTPAfoKlOwdzPF+A2RutlfcugArjoMh2Iy4P\n",
       "9LbSISjLvW9ElTgK1rXVqA77DkvcGta73kSSbFX4l0zXGfF1VQUWlKHj+O+uf6W581wmxePbdPOi\n",
       "x9Chj6BJmpoE8g6i5Xb5BZcBnHX9s+5zd+spz4AnPsVOrQq6qbiMtMqo2nXl6G2+LOBo8rRCdh77\n",
       "nQCG1uJcxiua7lquMUZqu+zFvrDK0sMp8/Gf/OEk7LnBxRatPOItewJ5nHzRX37xPvjvbSH5cdWQ\n",
       "jmUx5l9cbnTLGtfvu5cWw8TZeKyez8dp+3NTGD48FGvgRu2WLYtXy+QIW6AWZm1wLDHj7IYGxe64\n",
       "ardV6+TgR+x5spvmOZ6gjfGQbzXJi0wrnsgJry6XfyLWH7oau7l5ClW4SKVjgqDW7f7+qD1l4kvd\n",
       "Hf6BCFlbP03C2v+nz+sdgVAXs1ITvSA1sU2yW5d8N+x/nVrxtmEMmXl3QFp8MWyGN0F+jpP2M2OF\n",
       "kJUmUrMZKZNUi/Fdy6x/NXXxxjfb34/cMw7UTWjLKu333WsWPfdbA6KAG0xw6oKnrjfBa2scRy2z\n",
       "HdoAhWNklf1lbAssFEW17Z1YhX/wfdKa5QICx8rD8JdPlcjQB3e0fLPyvlW1YxAVbqxJUvzUiJE7\n",
       "0UiWJYZlKRcj+6iR4GZoqR0HNBcwg1eOX2BctX+JFKrORBKjJEowWRet4lOc3ywfMrEI72rfwy0O\n",
       "Olr6MJwNvWAhCVlxSEhyncxD8CAAAASFQZ/aRRUsK/8BWrCuWHVObZc83cEfeTnnNRzoc5vMGD8n\n",
       "HAECeBUjskHCDLGUXvFgwXT8C7yR5zJ7TC+Y0CqM9BiWgtKmwGTGpXn2u+0M8rMntL/eMPNIWEdk\n",
       "RBpPS0zhWCwZQ5dMZLhdmcyhSRv2gk7Ih38TZzfs8O92uwpQmohcVHzhVyl8UXB7aHv/UKVNRcj/\n",
       "Wx24xU7yCiqwhBotqvWRKE8NxemoDBhUKd+BwqoFldRVsb/dEujpjDlvvjbkoSc+pM6/LpFEFmgp\n",
       "K6JkkepDrtaEveEtl+k92yFV7lOhD3veOt75hFzINetQjuAsT0E8QA/Fh8bKzotobzJgtTZN+XDz\n",
       "LWxYrXf3k4lhtGQDHn9PqswhkZ49sJQHzgvLPcOK09pC9Qy0g3Su/IVYsgSfsyw50Og4vMwvW8aB\n",
       "2R6mcxXyVfA+N2YN4TtBOfAo6aEdhQh1hsBOYHqS1jeSv/u/XLfJUbFE8k8tiOfBk+kgKg09Zr5F\n",
       "72+aOz9xrp/EFb2kWCnMW6HK65llVI5mb/IiZ3maiHzQ6GAnpC3KMsugKrp6A7OHTEqvp+xibiQv\n",
       "rdgW7DsRfjoWtjsPiAI8r5AcpwfyLzsLFgSFlCq/Wgbwrb/NJNzm1UgYsZR+WSheMPwLzE/5hCpg\n",
       "7zZgZdcQMhmchILZefyo0njFbUw9D4uFma1HRIJENIV3TIvS0zXIu+YnlsfATmlSDPr4tnPetWt3\n",
       "r1rKv6lxJjlOOdElBEBJ/fVxpWdFYRyut32lrj2TLJWTcQ0OWakYQ1U1yd8odLkwqVu32kPN0hH8\n",
       "zEH+O2l91qnuSUI50ZKd6762zmV9mcWnxs+vv10fcCIcRXXQyTzlQW/Jiwo82SBi5dL8zsvKEzSh\n",
       "boyzhjWelzgzyW7zwpQpxoU4/qmHa2wQse7fwcqsmDqWEDmT3QBkvKejTqRbUmcp95y7Nt+CFMqS\n",
       "LTBh2dBQuGaT0BClUXzBr1nJz2GX+tUVI4pRmOggUEpuaxu0cIPikSDY+gUiL/iK/hguqfnyGlI8\n",
       "Whnly2pT4udSFp4v42zeik+71UGFeWiZIUFcxdY8gFfyXtvdRym3hBWKGydew6+5BChVYB6HGHa7\n",
       "UXfkUb+ShQ/MCgqS58jS3a4CHXjzwQkNzqVmE4Td5P28VDHV61EBF9PeotphXgYd6r9sMKXwUv49\n",
       "u365Y08zVAdeBITGDuWDRdUkGND0RrJbwy1iP1hC/ukwnvXkp9u3BXY82ogAFFOkJmw3dvFQ5kEH\n",
       "H4xUySbUv+a1vyffOJ6ez4cWht5B+2EFG0gW8yx8EoWxSXZzYEiVb/vJz+VEprVO1EsMmvnjyBNe\n",
       "LQCia7g0baVOyP9nizz6qydoR7el1RaONRwcXQq5zrnGs3LjZFKWKD4QZnMlQfT/pcRI/I7l/dfZ\n",
       "jNZBhkVXoFvTUomR7AFtD4mMdGbyAitaovaeZemnmAgFhDHZIfFGEo55nRezN87vkTQaSMde1SyZ\n",
       "tWGAmTsuQlgs2qnl6kjpAfi67jauk2fXvNp2Z5lZlq5LnCUqIjTpgpkAAAJIAZ/5dEJ/Aa5iPwnQ\n",
       "qWRcoVM9/oqOioK4zPX2N6dayeeP9pwCTbSO5lBfwX1+4eNsNfGWTAUYUXbqth7kwgmC2zg/oapT\n",
       "nHvKk3ViSKGMYtc1xHARWhDFjUWEtyhR8RCV+IA1rZfOpM0X7koRIdO1YlwxM7DRri6x7igUBnO4\n",
       "LFjYcn5oFWNy5FlxoCU8/etHBhQzHXKdcx0jBLKQ9CZSxKgwpnQSYQZ5bt+dPuymgDsTwvp3kHwo\n",
       "dWCFLaIAJAIps1M49f9mYbXX8a9bS2WoRk9snckrSd3II9w+rDHu1AIAgMXSIdsVounMC2le12EB\n",
       "28TyBS8KnZaTDvnpj7gy/kEmiw8iWjUR3S/WdRc+WrKkUXjSPPOtbCNW3o2UmYhYevQiRaklBISh\n",
       "UVkuUesTtLPiEaJ/e54vy0p18VGEvR5Y5/kCgWw7rNFDlFNqa8VoPm8CFtsJrvxA0KYc6agBp6Un\n",
       "fggzAqqxezMXb7lo/vo6NmyOfSS/fvx/8P0C0eLWWEP6fu9BMkE8fm1dJJa223yI/yluYd5AzTCI\n",
       "mzXM/hBTUFwWykBJ755e8cQ5z1+1iwfcAV1XPgJSOsH6Z/5/60ucnkqo6txMQTpDoF4WP4XJNd5Z\n",
       "nB1vzWXHrhxpdxEfFOHFiku37cNX7RnukgUT9pqmsiIirMeBg1ohagqctJnHcAXxgLPD0UtgUrbt\n",
       "3+TgJ8OzBbY9i5sL5Y1BNVfMR9bbEIbi63Y9fNvE2NRuYGE7D6lgsoWMHnVcPBQuvacyN3ds/DYR\n",
       "sVsAAAJNAZ/7akJ/AZpp+fNNYBDagI9jS6Bzt9tr9kgvr9zpowqALYlc28aqlI5bAHCVpl6a9c6L\n",
       "ovyGH6XSPVE5TSyfr1tzf15/IA9aA5JfxhSsWqi97D/8eOXDGGyXBMMR7qTQCEI5gceUYnAji8v6\n",
       "p7Hwz2Sf/CwOi/2oodXC/wXpVp61VovmukE3Bh4qUPbCM0KqYUwB+CbxYUSG1lwR8g8phJFVn3h8\n",
       "cVnwwq0Pfhn5/zy9SQo+4TIjwcTmoHS5bCByaUO2k74cQ/SM7iyjnZKvxAxIV55Upi7W0+iu5dVJ\n",
       "mgbW9WswHzB0S+WpCTRFgFlHc1WgpiSbzPEWn5u7eM/iOh5OQj41MAfpQqCpnDXuQGSuEE491zSx\n",
       "KWESN1qj2bvaU9nokLu1s+4JmpT85NUM65ig+HL/X8oUU3dlb9ARz3ZAu57VrkUEudspmH8Nh3Qx\n",
       "t83C31AcxuxVvC5VKsqk1WAScUsGloq+LD4wSezdmpcHj+n1P6hG+vn0duYYgKpon0cJCgln/HO7\n",
       "Mmlv0L9TcgY9qU/Gb/U3KPCEu9A6D6jgRmP3MdOEHGMRDbXEBRo7cWG9ntUOJZLat7StElw8chiX\n",
       "ndl5dZay7XGh5+UDX8EZKXAFxJ8vXuhAtthKUvVW5LjZnv35cstoQ6TJUjYyvWkrPyFsQCluFFPv\n",
       "EKh2FWSHX+ngiKps50DaP7yZH730pSc7cDGdKnLJwALoLIReMmWyZnTzjlIUQyGUT1nKoTknZn5x\n",
       "lqEzg985LrKz8LUEgCyR/SVysODBb0peQQAAB8dBm+BJqEFsmUwIb//+p4QB1hNXAFax/8xIAjY/\n",
       "o9eSRl3yWe8+1C6ahGN3kGcdTNUMsZM3bspn4pxR+0jWkEojRLpnFyZie3OjHrD9dEdjNtPZcghM\n",
       "mkYba1Jneb/SEiuPI646cckPGCnQSjAhVtG7C0ujEuk7NtsSG5gDL0QILOKp+XMQKuD3C62es7Ol\n",
       "sl+i5jjQjhJdM/gZZ+vXhmf6jk9Cd2rIwZUGGDu/EsEFluA/8oet7+hEOq6TQjOHiTy/K4XIVP/O\n",
       "lOVINIwI0hV6aPH+WN1+IH3Qu2FORcL9+FgqrjxdJ0XQ403mKogHp55EjSoOewcNDpOShiO/PRqW\n",
       "vuqn4HVWw+S78e3cujKRfFjPki4TFYgHS9y0ZqvLVHRPmjs4FQ8Dt2soIicQvbJBfSGY78jbOPrE\n",
       "Y7orQR7clBAvQX9nphKSqoQzNepr46AQ3adyHddq20cC98IvMCJ1f2bezuH1ku0bwwNznHF2GqX7\n",
       "GOzhfPijwpv5P6tXcdIDxqiV5Al1Sqe4fv+ZQXmHg83TjD9D+orjA61eWYaCfUdsxAzA9JeUb1jF\n",
       "NgSotxpclZhj3yMd92kRRIZ6HYw09Hgjer/m3rEWzAJQZ636uReH8Nu8fUAiuDCx+ICB2Mh201jc\n",
       "8oNl3KGwQk89m1UgUjVx5TFgxY21kPtKOMWgwfvb/wq+HZewaa/LBveQg04hf25hTYaKsAVSy4Na\n",
       "4rKOlhG/y/Hti42HyKenwZftmAVqJoFuyw87MJ2IRHTYMROYWTV7C+8PoT2RlIfpAfewZ+cXUkSh\n",
       "sDmB2UHt/QeSsKdGSkoLtCucf7TFi6EXbFE5skvhVBjIfgH5Cv3YWXXOUlaM0zfgLz1op0zCXGCi\n",
       "+ioBf5Sum8UYz2RrceD1kXTxutjGhwfLiEnFJo205wHhKsT+Y8G50yKtBlin/JlNI/60pZoFIsWj\n",
       "f5Bj+98kiltnxRMyyLVFq5zQ2aBW2nPa4rlrMLFoBEqtfRjj8sbh8bTKv+ZHiBACQAgWoaovUgWc\n",
       "Lu8VMgZuKpPeytD95DppOM0/U/tztFt7f6/y74HTc8RRf+pNA85p5R+q0zI9qwQyXEHruMWK8oi8\n",
       "1Wfd/JjlbsfTxRDDg/s+vfSFTZ5yum7hALJ3QZcs13Zcj517lMSYTHCMYLZCkM7MJr+sAcSotoSi\n",
       "F2lyNKTfzdPIRVl5jw9U3e+cjrR/mjWkfpGO5ghkQy7U71G6QiCIj/Z/XOIjIUx7SIEEYP70P94W\n",
       "AUWEcSgdSY0ghWY7nePokwCWCLjNM6viykPtz+RsAlXAUA5i9sbK4RvR74mISTDYC7zFSvRGy5uu\n",
       "aTepv/3/NJyBf1fRKmCB+kzKoZfkdqYXsKbPZfnnUi/jQkGBHzZ92xHRKJTRhfPJD5/B9zI6aSng\n",
       "jma1oRmqcujZhFNv3JHeVzyxfVHQSC4Ex+m6lQF2sH5+pZeIgDrV2PaLPyXergR7dmYqp9yeLGLL\n",
       "sR5bfCykvugXiy+2RG1wS0rqZ119O8eJT7of6eQxcJ3mguqo60+oI1fH0xOl1M9wsI4+LjVvroqV\n",
       "xVgz/kA2Fynnr7FfiphbVfNDpCqLX9fW6Bs411za8hleYnNZydvmmAJu477zdeBuZZnUSecCZORy\n",
       "QZvMEg2P7YZ95vDnEmPer0Ou46xFOmJjeQclSEzrLu4H7uTFPyizIjUctY4ErV5Vcw2ygMkT4Cnk\n",
       "5fpH8UXSJZcKYL8Y9KDlZE1tQSULSL+h7tiPTSh3mIC13lUf432FUDcaIEo2uwVnoPzo+HWeTTDb\n",
       "8muBnSSK1hP0ji9nxaQ7DJQ+CcqY2sZ0vfLgSaDMHQawzRHZ0UonIQ1KrbpG0V60u5lkOTHr1VgV\n",
       "Tc/MPGn7qYFI5TTnV/rHM22QW7RFQoEQYPKIX69Vc+ZBNv4N42vj7en/v9Z3iWgjoa+S2Z4qK3G/\n",
       "xHxo20IEBjiiljcTl50yRpULFCKJ51u6Cl/QEazJxjTp7YBit4FUPKIeQhxA5p3tX2wlhEa/S8mD\n",
       "sLpB2CxreodeZMVefDZy2x6YJXh2cPGgijvI/erR2BQq/irI1aab9yfEojxpAUChwfaMElKJXDjK\n",
       "y9Z2kCwwHIicN2rbk14qAzCN1gp6es6orLzeZcKJbMVpeTf3kaEdFWtCk1ymqUnn4mrCTnxdzRWj\n",
       "St6AG0yKpwgMfvtGtpnzfibsZTpv2op+kZgkiITwasiqrtlvm3oabdJJmuvdUXW8l+zbW51a+pzI\n",
       "GhHV8dz+J6R1sc0Wqr4LFg++LQK3o3HcyYuljCS8LCclDgKZrA5fjeW6ZCp2rl61VNuAcznhj/rw\n",
       "sA2eppJ9vbhcorLp19Q4Lh4+9AJ5mxTDCYOTXLxD3WeBOGiBFlZk8bPfPYO3tVYpy95slDT7juBy\n",
       "YBO1pi5ioPnNgDFXFdijgfmxnZLllX+vNMwaHo8K2BOtY+4bix9pe84RvCbT/ptkLwwcXD+9fCZe\n",
       "GeejekxsHsILKdSOp7e+oBQvznp59H5FUxRV62WNNLFUSngbwkZ77HeSzRPj76VJchc5xiDUFHrk\n",
       "td+EvThfPS71kzE/THn4f6beAtgNjbf6c7aVwdm+yY5nXqjB2RPjf8YTQwicF/idl/XS3JnvWF+Q\n",
       "T5h+gWTYRrODJoFhWj8VAoOCs0pFmcmJcQAABEdBnh5FFSwr/wFar3KjDMIbfXlTXt9scHoFDSbh\n",
       "PEinTQ/v1kdsHA1SRqvP5VD8+McKjf/PdbdI1oW36QjrfBQPDMyvfCerF7MpkhQ+YngurziO4qGH\n",
       "Ie7xhXV6VhlPlyjOS2yeT6ISXw/5LZvnyrC8BrjD1hnXD3TMFyL+dzDgiwEU0SPf/iB3SvjWL+pR\n",
       "h+FMkzSziAqRzfB1RtJU/x4OesiPH4ibk7n5BSzDgsdD8BFFVy+5flVYfK7xOpYw/RhieXYH99wI\n",
       "ucjWe7236qGDqWsMC7sq2hfWrv+tRuVpIZZX036DBcPbmsF2oMblY6Yasv+zv+nwaxgFvgk0X2ZK\n",
       "i8yYpaDQZHQ7SIcHPk7V5i2//RafUjboZrJ9K3dvkyP4e1s8JYSUiSwvMwacpHy+Ej81cmwuvEnK\n",
       "cseTMr1EutNmPfVBTGk1WZXG249fnp4He/TSzXeLnDiH0/rEZf7yBHXQ87jgyiOdpoPsU+chdIJB\n",
       "0ZV0qzRbLnDvpdziyeOakly1Kozhaql4i0th+PJ8x74wHGtp4JqDownXSubjrp+iWbTQErhWMJ92\n",
       "A+votOjcTJBw4oOamLB1fkt2DmDzTzOTSXU7fLb4Z8JCYN7y8eKuYfefeyeCp8HdxGMEQDvOxVVF\n",
       "hswXbfYpHA47wi+c+wnt8M2qrmbhTZFNso4lHu9InZNtVyX7IkfmAGuXNzYsWnrhW5EdXF2hMREl\n",
       "zPm8h7D2n7Nub58I3SjZe8vS51H9+6DrBF2ZaxVOumhRPR6rr0XiuC3S8Mbs32J2uOEPyqvmCIGT\n",
       "e40DwpFWTjDWfsIfXP9DRgrRfExz0E/du2NPlZ67U+p8Id5evee+a05CA6LGcn8INZbPkIuRCWvF\n",
       "hurN+NlNBQJy9RIIqn4m2oHrNrpJSOSBA80ErzrSp5eYB0bML9p+1giIAqzKj69oROLmoP3oFbf0\n",
       "/bM2w5nEq1opVfkBchDvYRwqlmyVIhUktNtXWjneE0gVz42ubTOlgKJjXpyGsIR/0cT9p3eEepg7\n",
       "JNmSLuTqa5By8kyW8Mcb8n9wTnntTCzS78KNva2uVjhAZuTblfKUQ+tmq+yfak3ERt576ySkZ9zi\n",
       "u2y1wOPHnqIFuo39ySyXIkTOqZcrNr8SLpw9/TZwPlw9frgdb32vgP6LoFJz3FjbD3gnxBgvbASv\n",
       "qcH4HfaeJuFI5D8RA5T7e84x5qkgHUwrCeCctUpoT/Q3G9bOqJ3pi/bu+Py7e4HuuKuX1ORQbVXd\n",
       "0X00GPLKJ8uXjH2sJ4RcMmrVJ7zfGgu5LLrZn598N1fJthFwPFB+sBklBS6AXwKAZmsP+wxPVFA0\n",
       "scWyLTpXEOkWEpfRxRUxKkRzhpL1T5LFHKYnbxy3zWiWZ36T2Jy7tfb9S5Emv1thSI8VWn4qMgHL\n",
       "r0+AvXg8mgkBww0r5pWOTz5qoa3wBPAVwD3raG8/CWJ305vhCVfrIyAAAAHvAZ49dEJ/AXw0xfkX\n",
       "8zozi8ACtwxG7dhgABTkmtw58jOhuxbk+J4bzxPZNeihbd92fStekNKmVo+J2x7/p9Wc2PbI80qR\n",
       "z0vScKcM1s0UDQgC45jugXDE4ra148yjTeu/Zot5xsDEDu9meY9+EJn10K7lhXl815Zx3bNaCezs\n",
       "nDQPlAUiv1KGuvAGkonr5OmGM0cpmtafvqY7DWLy766nQ3ffN75fUXTXf3DEfhKi7uXoEYNYZZVl\n",
       "Y0mZcOpTTP9VAShnSM5psitalmB9Lqx5/rbsPg8exRVrOse59z26FAL9WhJb5OT0sA9aOz4lnJzZ\n",
       "HDqnghyLhJbNaNeRe8iqRRc7PpUSxxnTvAIHmARVsNJjM9zMKjyn1ietTxbj21q+AGe/pESTupse\n",
       "cN1y3D4eKLtp3k6dQrsyomats3D9p0Jn7LBNq7c9ut6b5GOZm7yRKGe3On5R7G5uMtfgaS63ueeZ\n",
       "/wgA8y3k8ZL+WV/gK5KIHesZrsWw2EJos8sJKArHzwK/0ZODL+BhjBxdPTkKQAdPXCGL5z7LpcQQ\n",
       "FWotziXIdao3RSqQbn3AyJoFqqKrc7yS4DxLR8apBuq/NFz4psm9lGpC1alcNm5XzZFKKpIdIL3W\n",
       "47JiEH0+K9NB5R7dNZd0Vv2e60yFsobN4ZZQAAAB+wGeP2pCfwG4eAsGP+2HfjxG0ghrvRO+Ye2V\n",
       "KoYAaWEHPobSGOgAZbpYrglA0YE/Pgof6fXQ4nZCiWagh6rCxBxxqJSFZYbj9brDmLIP+yQVdG1J\n",
       "4dK5MhkZFqneislFrZo2qW9I3HrkEMbrxoy0iM+4aDSuY+wbwznlCGK5hHAlc6p9Arnr4UM2Nlvj\n",
       "nBWKhr7mRelv9g8SOvcsNjqgaPb+gTJeLg99+s8gFVDJEVf+ZWZMnrZL+OijiZ2L914OzNIn4cqT\n",
       "+W91671ydSEz1t8SZIbMK/uD9jqKhKKGQTMl/jGgyBjl77z5D5l6gYxeIpKEAlk+BV1iOo/fe3jK\n",
       "OYfkQxQDaPWHz8+fPMtd9GgoSgkikqsqXcI7Xh8UYyYCjSb046wHqwHxnMKnrmUkdyLKaBF8XI8h\n",
       "pOYgMnrvmd8oz0QiBs8cbyK2AR14Y5P3YiHUYIDLMsERowxw7ph02012EYbO1Wgj7xfGuYNK9HgK\n",
       "FXjYrMcKW2ry3jkH7ST7gP/f9CtQCYyXPxx9YdC5IW3ehKY3LHGc6oqpK21QX2JME/SbClfEvYXY\n",
       "TUPqz9V0GtXsl5w9e94wU3lKa0cXpDz1EiasT4Fiw+vXmCwP896Zh2eyPK863XFztE7hGf3kGJaU\n",
       "uFPryDacFD7uH6EiZMo/U0HExTFk29vyvwAACEJBmiRJqEFsmUwIb//+p4QB1hkCAFh4KN8w6//7\n",
       "9pmaxij4oo795yOANCzd76amx8u7CYxNwPCkagCk8jAIYhX54RUNpxXjhZ9nKQpwX/BnIjtNMjwY\n",
       "4LTkv9ZuOGXUotjaJj10Vy5G/ZfLBmlta33eQPIaG0uvmmXFbbMKxSXgPWNdnCz9vxYIgjl8C/xa\n",
       "DJttmkiUqQ1mcb51y4h+En+4AAZRvhWoXmXQHcRR1uBEcn04Rch+tsLM8GEELWyki75ZuHixCoA9\n",
       "5sjv1pg9OYOHAww54Oifpz4VUoAtJ8sNzAUrWuXQVroEbXWMRqCth63EBJ8giBNRMQsvWMHSY4GZ\n",
       "C/jKweS3j24q7XEc0TpzqILbi/cy0Pm9scDWfuCk/eGKlQBvSjPOyIN9mTbDU7Y2H8tUlEZ8WgF7\n",
       "lB1ue4QFjk15fRXNQ/1KUmilUgJ8mNZarorE/6S99uQnQw6eZw4n4/qnGmfQvU9Knuig8greQD6g\n",
       "w4WMIKWVVJIN/VJSZfbCzK9zNTImHoCL4SK7VJy7xG6Jvn68uMKmWj7Xw4C7taJynQzI+U2VEA6M\n",
       "hwfkM2JzuVddWjnPdMT4VRvwNW5QKhOWf6WiCCT0A5/AHU2RYNSagj9hM7+YoFSme+jwn88PH12V\n",
       "tGAqjarH9uLqXhaKEC2NcgNMgQMTJFiCjT20PlrR5wdBPRLa0HEYRUaAkjrJW212DGbNV/oL3fHX\n",
       "SNuenhSF1F3grMSIGNxQb8c/3qYmimx8fXLqYsGsoLpjbM7z3dY6p7RojNMZyC5t5Qq2C4iYasPv\n",
       "PjFNc7mcSs88mMSQhe4+zKsOPXK4JT4ZZ7PAzwsMuGnPkabyGHYMMBb6YLnnfVOMiWO91zugcrHP\n",
       "kYVY6oeACIJCgp8mcESvwfbSFMUcCZbrqYZhoD+xzuVxyyArdnuCBgha7fe/tNtEAhK1AE+KIPVG\n",
       "JMhmUe9NxD7uCESpJRQSAUPGs9mlSuvQWsibcAl7R03+NjvhidWA1exotF6O1L22GoBGC+2lVJs/\n",
       "8r0sbuafXijHNv7qh79/Egsz1Qo6CPKfXIYoGxZ4e/t8C72G4u4VPFyVmWEz/q5MSM9FF0AxLw2t\n",
       "u2nC6v2+IMtoInFBpsNhvkqz4/7hDcdBfCbrQs/Mtox9zKAjBYLoF+EJzbDdORrsGwvGARfz6FcV\n",
       "A/P750q1B1sFOkQj2l+j91auGsi9+SeTOgammRRB6Lgr3tgAWYoIHjB3yuB+TlkV0fJCpw4LdpJT\n",
       "3YlpSTC3Rq2vA/vACZPx5CqGxsuw2AEhyX9d27SjJW2nwvIHhUJbplVPgy7d2aVyRrddagHaIUeu\n",
       "pHMLRqc3g+m1vWFZnftwXNtvbLHdrA5JYVAzvpyvs66Sf1YsWCNc6QGSGZr1rdcKgvkDZUQy4xwY\n",
       "qKp10/YPXPstQWT0slQKSsnqpk5Be13pUsvs58YAMI15BPC5HnrnliLd96a2gep26rFHSO4k0/Ks\n",
       "13n4eZf2tG6SekCXO7/W4/YJ9xsX9/doK5oJylPzlTuu2J2oXrIjSD8Yud/6I8eWUhHQcAreSe35\n",
       "38zc7rdorLHye6ZsCzxjqK+RpBgjQajacr81W6dXWWRsjvl/jGTu+dZRGGvG0rU2rqwEkDlmywwy\n",
       "lfflXLxVs3X4BVHBlhY0ZV72wC18upqipzhw65Ct/ZITTin7tjgaMhzKSo0XOsxbcpSM/GJ6o+NA\n",
       "EDKXwA2VM6LsCBAhmNzN8y65Jggfa0icQT14w9g0UWhp+xU9MMXvavNp+9stpXX3I+3Vl+BfFPeT\n",
       "yrsIJEA4NIRNy4XGzUQBaS1xUlNsgwUxBN9kVflnfs5eIbld/veoV9k/JB9qjpnUaqwc30Out3rk\n",
       "gCMGFYXr3Qm7otUNKUbkqlLuEoXdnglG1e5PeB/8obsxxAei5u87gua/MXRt7FJG7jXuUVXk2Dmf\n",
       "RyBx8uoARQL3qtcL5jMJqGeOKN+TDdfPG75ZcSVqWY8akTsVMoxI+j8phKEtH/hfQvyKjrRJl8c1\n",
       "tk41fGMX1ipD/+FjlVa0hvRhEw9jI7U/kn5BD9CJTTQANMlQ+wsPAxaRwk+htxtZqdbnNNTtYnuJ\n",
       "1IZM+B5HQJ60xjAQLsqICfXilQj7MaHG9vgnfhc+RnS4jLSo0MIlM37pquap9z8L4FF7nyptulRZ\n",
       "KKSuXj56Y0iQFc4/MP2jRAu6ffpWCa4yR6xhYXyPgaLQxssu8JiGjx3Y7xHqk+qs4YnDKwVQKIJu\n",
       "DP+8dy++mkpVYlliuOfLUSM0kLz8s0q4DS/VpP8oFHLiiIDgBSMbr3nr7bMXjWhpKhXOTKdDlhNG\n",
       "deS0fq2SjGOY0xP1ZfPTHTMorsG05qza1zv/MscLS5sfCoz2xh9WJvaAXiEvxpk0YVNM1FgQN4SP\n",
       "cJCRs21ZfnEZCK6k2qqCyvNucUkiDnI4D4TV3t2ev0M4Jxn8dcSqsjnzIUFD7kWR5jNUwkZ7OX3m\n",
       "rs9XgCG8v/Kzr6o2Cn2CoJ5FBB0eOiAkmi4rcndYZiInLMwCd8yTTxkMNu48WIYyEySlPtqjZ11g\n",
       "2wBEpQtt9RVtNECnAJFIKSvu9t8pjY9J5TgvvJxWfF69IbtPs6NgQfRfjGjtMCehTF4ok+imLHrz\n",
       "0EG32AJ8tiw9yVDRQ4pHEeYLf4xKgr+Su3Wxev8Unj857bpMT+IXFBEaKE3RsAbGGALivBOTPvtV\n",
       "JMfNrHWhRNO2NJr7VvHf+fAgOYWLN0pffCClWetyCzCpVtzSvpH8vIo+mZNsZP/LYkPNId+MIXk0\n",
       "XVp39nS4+Sc120lTvLVqy0Y5AK+0eIMqS+kQ4ea900DeQAAABGhBnkJFFSwr/wM/lK5GNbOdtzix\n",
       "AcJ2ZZu2hL+qlh/Ul3dSjW9A4T0XCTYOqtrLzDaOr0FBIgrPUsrHSK7vv4eq9uO66PjGHGZ8LX31\n",
       "qs4yYFq7cIW+v/pem32mfE1caCYKIkGIvhjQ6TpLD4albq6utkW8jEPzSwLaxs7LH8y26JHU43cz\n",
       "qvs/s054woIQOgFvJjS9e1KrwaqB3XBpgcSZPKL7qbNBotGjpq7FzCK6/FL7Z2UjXsguN4hniatA\n",
       "LOTFj/g3j7Ulga5groOD4FNGc5vkCglSSM6asqvKUsvhlEZGfT+IiCHuSNrsOTolWH8FMUmc4YRm\n",
       "N6OhbMdY0hXHNukSzBtEVQPaJEO1xP7ivDxx5nRY0yoJ9SJYzokCoIJ8UcJ7ZpBL+WImnl5KowXW\n",
       "E62y6lzrvZtXERSkqCnRRGQWtMw+d7pXx9S4yyFeOetfDeDXNYvXslPIvfWdlwGRuiqbxJm372kS\n",
       "c9unVWewtK0M3bbWTLgFCIx0wmGwdQZXme8L2RiUUivWLgnkTc1kcTSs10x4ak1aKVig90G4jpE6\n",
       "tXMqkqOp/vnKNhz6HNyi68A0qJRYGaVrPUlmaiEq9NJAHVjzaQlPFs/7BVtN/NocNSONkEg7X+ry\n",
       "DaAjmE4/eohmW2E1TF6xiHZvQdaRklDAfhjaytSBm/cIzYEYtettCTRXmKqGwYccdcZ5PJkUkumR\n",
       "rssOfT/+1xFy6RUPymd4O3rHRRLGRV9fHwSc9JG0k+ede8hmZpQV47kqZx5UvYyzfs6AcMPnFP+2\n",
       "JVn+WYJmlUykHci8Uxb+sJceCpAmAHkH4LaWbSp8R02ePRnc8gKKdqSrvjtsTFprsyo1bff0099o\n",
       "rBheZ2e1ZMnNVUfdQfCqj8y2K9L4d1MOYB0EV5SF64xe5CtjQ9qjibK+TtnJHYI/LRIgZkj/AQGp\n",
       "QXYFOI151cHT3WyoIqT9SmbIFYG1GSudCCL+ybtvuWU3Xf7O3Nz17ErGMrXuZDKKp3RgOcOOEvm0\n",
       "2VxocVRPYfnApQwpf98bQDouVgsSUktTO06DlXofD/7WhtRg762AzNIWmhX2hzHsjOzTeIcnPqyH\n",
       "N/z2aUeDCkrzhGTOcSoY8VOa+ALSabbB0+1Fwq3nkO89vwrt9uRGrGyQgUDOZ+Sqe9cDPp+/0YDg\n",
       "rg/ndzJxNMIi6GVaboNOuvEJu0WM6g1S3rpsYifzrE6Wur1oygmWqvi9uHgtMbwp+S4rYbappOr5\n",
       "31ehZkZ8qPxCOCe2G5Q20y6IHKp4Jjm8lyMnjhTv9KP5qEYKP10F2nTGiG5LUiAWuFx7Nh4ro0/g\n",
       "SwfbSTAMIp1kxx+E3hVCbyqBAD/75SOv9qXEXzfbAMx/gGYi7kvUdcJzHutjgrTfJg6IfTIkVaYC\n",
       "dO44vhI7+zCDGY88ndVRpZPhO/T7x2ckt7XYr6dbrYlI18TRDGmbip/CqV2BaxQ3uViJdifVEa9v\n",
       "TyrI6aucgD68MA5vbuxoWjipI5kUUTdBWDkAAAIzAZ5hdEJ/Aa3yfZWiJJhvqwDm7U/Ng5S9KW4D\n",
       "AFOTt6NSiVvrUtIHMoHlLlL3HbYUbfgwcxz3jbzejdt1K90i7293BKue2z5yRRm2xKrsldT8B25L\n",
       "Xf2lSdqF2uelfM+sIa6c+6UbN9L6nfLz9Aodw8vYeJMP4wtpBiYYHYVjSDKx4KK6USFQlfdm7cU9\n",
       "zXXsVEHL+GQyc2+tKq7+ILK8Cvs5PyeN4wEf3YLc5rpFKclGEomJ7PPKJUi9y5Tq7n7zlI07FspF\n",
       "Be/y9EGJkIHnLWwfuk+TWZW3MV/Xi6LhMq+4irBVOK65IzrW4IuwyAzk6j3wSsdn4B+nBZoY72Ew\n",
       "WcW8FgYc5z9UXrQadqu2bCeh9E0eWrac8giKWddkkxF1OUJOx99hK0NKx3G+qgI8yewwypKsM23V\n",
       "C6AZTQmZKYclgHRvU/9/bPs1xNONasV+lPLD3R0fGPofJNk1C3AAZj4FOyAWJJIxbKqFzHVYqQVD\n",
       "+ja5yeDnzIokMwpX28o+9thEbUQJoACgJnI15vBZFYyRlEw0BqYGiTVFDuE7kDsPe+9OVxpYaXPz\n",
       "aJ3gp29Kt5TD8v1Sr/dFuI3yHz/RV6EFfjaqCIuaMJYlz8J4UVv29kP+ea7mdPCn3RkWQrVh1cl3\n",
       "m0AQ/dMB326zx3KvYAAOJRrfK5EHXYk8cbBdjN/lWb/wRRnkrgWbMiQnHCkwxMsNODIpQk+PBwNj\n",
       "3jAqN88N+qM3eUb+uRoe9t4i/W0mooAAAAJHAZ5jakJ/BA7gDkmFc2VFgePR4M/20qHLP/XjRMIA\n",
       "4p669rkFlZW5Tl5Gx6srvN4FFIycVhXv5J/TjGcjfitsP8gxMG4dda+B95NuqJlP0njQGaEQNteJ\n",
       "ZOj3ikBQsDQZ/jeP73+2qlH97htz4nKT3/OWEixzSGQAYn7vfSwgb1ABzb8p9J3hWc8JhCWnhOlP\n",
       "aUzBMhMJp6Wxn/3gJgMK344GuGzcasD10YVY9igS5cv4VlGHu4vt3pGc3zNjUx7ox2/BZjOKIH1z\n",
       "Z2yaGlpY7O6ddPFlVOnRtIXCQOXI+tQ/uuf2XOG+7m/S84ETh1BbQik3jRejbuPZl1ylt5jPlHE8\n",
       "x6nvu4hotjoFsHldz7ldT3xkMF9OOX3UY+8DuCblZ+LXJbQJWlwUvEcAwTcbDmojE0Qo6yLsz8VM\n",
       "khTAmlD6doYmVJTO46tFfhp6NSLbb1Rbdr5pe0s462GPr7GqMbndZupKtbVwsPJG4G302XV5Rvq+\n",
       "GC3XDDtYQnUe9WzBBDLvnd+PJVj1Yqp375xc6iDpHxm+aT6UdBX4qfkMIbRTTJTjIP0KPWL6NPsx\n",
       "YrU5knIDE51eI1In4hjkCnt0d3HdZB8B2yp9I6RLB8EWPt6zx2gsJZgK22mRxCc4bL6px1+tw03q\n",
       "Cbl9JGTQghe1V2lu6DT7vearf8hmRXMxRSwCwxdISETSV+6zBCPF1PeylWDvwMk7p6TBI1X1lUVO\n",
       "tKbzgjEM9Lo7lcHr3ji7Kmpg5vKwhsxbS1AMBg6DDOI6CUJb9mr1BQAACBhBmmhJqEFsmUwIb//+\n",
       "p4QZ2yoT5rvwAif7MaKJYFP4MH6jgyvJ4B3bY8G2kqub6tbowWb6Tx1/nRq3ST+JAWpQfv5e5x07\n",
       "MPVuokhWAbw7hP3Pth4yz1EOPyHA6HSV4FQZHx5har/dtpwRaXAXy8APrgU1snv1vum7Q28/1Fus\n",
       "1WX9OxekcC9Q+W2f8bkbSZNPJYolrNJM5L4HCkCJG4bhEJqgUxkaq8W9Nf3WkkIX/LGmYC5LBCNm\n",
       "2rSKjb0NaR8vA4IK+lLGIExsVh3Kd70UfPiW0L+3w/mT411b1BA3HD+hG4Ue9jnwJlPQT/IvnLzY\n",
       "I8Q3ybXACRKoZxQ9YOl7rW86KrkcDgPEVdSbgRAKMzHwnUz2/vxiklCXjtqNyXvG/O4qoWiMX77f\n",
       "P88UwaQCFSRSMS8xv40vZ/wnfBe4zIkNdo7IBAVnwXNarDp2uCuVwxAX9QupWELqJWowdDXOgNrC\n",
       "qt6dAAVl2zHZLIYSfh9zQlBtFPY8fyEG1agQrDv/4/VrzTmRP+nSA5eW1kvxNCQYcCPBtp7zxzqT\n",
       "I2aszRcfArzAbIDfLRmFBTXPbtwj9pHZcSSvk040VJcoJFcA8nq+cuzfTPxEcO4GT2IismfD3cdy\n",
       "6bd0o6gyz19DEYd3MI25N/N2G7pE/cMdSpfZzTu4xrwbAsk1p43JoGmkUvahtf2Wx67erxDjtFMD\n",
       "t/Ls2aI5vMVY5ycU+L+eXk6BAoYeK87ccnWoQ3xsrbW2WYQk4BlLcNgZ31uJi1gAqY+PyUBl0LvZ\n",
       "WUVUP331jhxppMj1+PLVcD4DYjbkokA3yLalbV9D2avMg52vRjqv7KQoM5pQqZDEWYf+t+w3PXeL\n",
       "k+XgktQbiVKWpAw6ouR/4GZAZbuungDABU1G6xbpUxzVCSh+EoztzMMMak2nfyjFyoa29Sa3IBc4\n",
       "RQm/4Zpmmt1BFobzs3ytFuVMCMxjiAGajPU0ygtJ46I65MpiO1JIdYjlWCXd6GI59vsbF7mor6+k\n",
       "iOKdBpNWtQm/TxYux/GLNiNerfPIPh1gB09GrJV3rrYYNMJfp9l+kA1Cd/i2udLGW+PbWkHjUGaQ\n",
       "Ey0h7dvrjg5VCvLk3JimX7vZK/V33QcxTt+WZ5MDxPmvUh248I6kiEVm2dO2YbbaKPeyRimkCYdj\n",
       "eig+fhHZeDAzQ+Zvmy7ePsE6c70ueszvvwl05hP2HLvkSF/CMArTNjtDhJwFty/VbJcw6sSI2XV9\n",
       "Tic8qWJ0BBF84Wwtwo1rB8zlupOmfNGPnZoPrA9SRWObeKAEGSPxh6tPhFMQtWH838RTq7EwHeQy\n",
       "t2cEFS2vAp2MnRmG0EJAwyTb7hFI6AVF/t7Okf96+ZxQ2nLfZK/P8ke9k9j6Wd3MEikavSyDMeL4\n",
       "JZCeJ4JEumZuMG0Y9wKnVfpFQmVxwe/cI7oHxmG/VMaSzlr78sZe285F4A4pjAZeaE7+PHCONH2e\n",
       "hY0/5LAIVRZq7yTpokLG0cyI4WpOe4iPqapung57jNMbSFSgb3v2brkUEikkdCAUJ0ZNDJk7yjG+\n",
       "bZy5lrSTDjbEH8scLM3F4z8Vacj+wUYZByj/GmULiC3FAx9U3IPXinTNZ69c3B65xqRjuP0fFRV1\n",
       "knRLTpiwzkQYr7+xBcD0YSSXVnAL/8dtbEfb2dvV/ysPynZ2tfmDSIC4atFuB6K6DcMvZqsUqqxJ\n",
       "HIbFpenDmzjYS4RZnVVClYatdV+C9iRDalr5St1XtOX4/SYDI+oo3K4YCQjyiw/8gIrABNuXuwE7\n",
       "ZPsLuW9LiTSLl5mPp3jDVYxdlgtJwR3stA9mvlYW9NHC2vL9FgXRgKw+JfXhC/eBRwNJR0iAfS9M\n",
       "aiL57ZYGjIGIUt9oMTgRJhSiL654Gr85V28ZV3tTpZ+GATHikqVSGY/hgPOIgTivSso5NyOgfW+V\n",
       "DRBs7RfAPtjICps74zk/KHTObYfJPHw9himar99iD/frbC3kf3F+3i2LF4rYFnj/WgS5Kx/0DFro\n",
       "KWk7XZRfWD7qM1I7OvbOxZQ5Vx35eNmwrhbYGColt57z8pq7jsnjLkjJRIGbN7IEx27UywDJYmHM\n",
       "TZL0IcqdB9ouHjR973IVEhYEF34eh7yQtfOZiTWqg9B6UBqXAzbJ9stttHsMZHhEy7Jsku5oLInz\n",
       "w5DP8CSWr2IA4xFkuUG+E9oLXMvtkXsRNcUgPXqi/WPYY+BR41iM8pz8H6NNBpf7DfSLByApCBVf\n",
       "JE2CkU5Kj2zpHxvwgSLzz0vUpTxhLFp/2lCY4zEsnZdFLSI8Vq/cv5I13KfD7COlUiyqWQNVVqls\n",
       "9Hb1YdWEMr2aQLGmjhZL+lK2OMufct8fw+kq5tL8xK38va62SG+cQ/n2XpkA7CA0NFh9NGBIkuQ3\n",
       "aw7E6GmwcYE81V+UuLFoXL6BUwuyBp4H78bva5psWs1sReG5pENhqDX4e6PaoVtORK5XVc3twmNV\n",
       "DEU6LuGlCdH5gRojPB3DJA1wMkX3QtMtVqExOiC0hf7xI04wAuu4s4Qu3mvVIDu3YPFImBQXMBxC\n",
       "8l0rJzIK1DHSX9+/pXgjnt9Apb29d1iK6f4fNQ7zepT/etuEHNi41PseH33rXV9gv9zrvjtnbC0N\n",
       "T5LPsRBEAWTjOofAAtREiA8DSxGZf+QAbpoMoO0vAttVjdz+RDJKY7glNpXEVF2hX9C6E+Sn5P19\n",
       "/DxgGwUZ4UAw/1+57tTrHb8YO9JvjiRDU0WxD42UWvuIj7Arkr74F9Y1WsH0+aUXLDh7SlyCCN1M\n",
       "E1GGBnpZJwAABABBnoZFFSwr/wM93QKleJhoSK+qWBk69wCDAJOyUYRQ+sP08trd7BXJTDncTinS\n",
       "QTglE2myaAazVt1Og7rndTnxC+2Af3oAtPdqk/zIiO0wGr2QfdwBGDLV99DgsZDDtCs6kHhArcxc\n",
       "T8HVYi1h+7UBKcZqBiLTiza6Lea0hC3DUPWSUOdMaoGJO22JoUH5ybb8+YJNTo5X9HZzEifJ9jNY\n",
       "MzpNuO3ggaxAyKwEbrdiHk5PM8LaI/dBPvskXMf4EMKsa6L7KEf4Iku+GnyQEvzXNhyY044Of+VN\n",
       "J9euCoAUF9e+aXkpfnOck9TDh6WsVYIPv9pT0XwcM2WJ/nwIA44PdgUxepOO/rj6cUvhGTImENGb\n",
       "Zlq4OsfKRXV64bAYLRZmyBCrEZ5VD+CxHM9HT6TO+JP4VMmC6hCNN2lK+UZ3NW+j36m7jPwDk0f6\n",
       "iaDywLk+rRvlDpkC8t6NvQAGh+/+mMu1P+T1gvpppkCu8Pr974ovmoQwLkblK6VxK90CTDXxF4b9\n",
       "GnyrzKma7sIrnVHeJhyWulq/7qJ+eLeA3oUK+00TzuUwPhXGoupoDyxfymISasqIk6Jv/nBRNVAv\n",
       "zTBLTIBmNEwQEwhkzOsmHGMIWqujc0Pc8h8KHB26PMjcCPpb3+6b20WDVuFs/wvCRnFT4GJnLR05\n",
       "LK0d6i8abXhfFp/u2zBmfP/Gius9fW1I6J0xwRnpa4OXOZ7Ji0VSwbzrjytRm4Fcpbq4tIjbjkpp\n",
       "sBzOf5IjB5jq2fLb3eXqT7OEBYOqI8PsgEExDRUtuY0KjIbyz8iFKUwpxyDXXNUROEVkyQV/XU58\n",
       "X+3WKD7V8/F4Y0tv4n5sGSxe3zCpLa+KlaU2jaE64xeLA4w2aMTh3pYXm1jn9OI6APVmLqbB+w5P\n",
       "jIXPKNd7o5vrAtB4PxK3QzJIdGBhUMebULoE7lgVP6h5NhG4H1zb+FrhHgAu5wrqJw4FTIim0SYw\n",
       "mt9fVJl2+Rm8EC9IxvDHWEmyAzelN4WpZBsM8qSaCE1cxWC/2lOj5yJuXWKbYDQTy758ebxEYzss\n",
       "8a6zaR8vRRMRD8S3THRnw+XewtVrA/Rk4QrxWuy5hlDDF3uN4dpEv83U12TWPoAyJdTDfO7IUhtu\n",
       "CM9y1a2G77wWl4663wlH2zYeYtkyR4WSYBrHx2QE9y+UjQ5HLSuJgGXDcz6rmwVtP7efF1uuZENl\n",
       "7EzjzH8sBjKEwCxTgqOfshWkZBykGia1wrgaN7AHeLlEef4WHK5H8P7ORtUwwC04iIzmzcEeT5sS\n",
       "VNm1+iwMzTwjdDyyr+Pt3+OWcwJqW62f3wEeLZ/UojznhZWcu5yKq5BjinBDnSoC4PodE8clpz0r\n",
       "k5ybYOY1zPalAAACTQGepXRCfwQLUiwfNAAPpS4JIPN0kUF4uwnC8WLnsDp27Ooe94CfXKWdcSlQ\n",
       "W9TizPz4ahITIRCUXYFEbxBR5jCPrNw2N+PkrYUWyx5QIop6zlZUW/3usVGqpAnvXrs23dj3J5g0\n",
       "8ZQrmehgMB7Wk6WnGqVqFWo51jd193tbhC7IroglvV8iDSlFdisQr1tRQXMqqLCYnrHJEDZ7UfC7\n",
       "/7RANo5bd6e4TumvHpz0IFbAqYxD9y1zeKYQ8PBqFg88+nxtzdRAWVqRyR9X54rZyBvsUEJW4hDT\n",
       "blry38X0TY3mD30na/mvkUsYSg2K4aMO+gMG7uDi3Lh0wg5G7kToG4ax9pOMj2UXzjh+9KhfBk+F\n",
       "Qx9WYDwCV6sq3P0m1InxtVqaCDxSwD3Ym9ww6Yw+F0c9VYe7qk8aKwlLEHn8JQmR8JrZaC6M06Dw\n",
       "tt4L2F5vmLwrODlU04yfxGhszFQOpK39rER+h1tvNfVDw2jFcrSidE30NT5aL1hBR70TENr4g0rA\n",
       "Wy0nBFICcxuYC1b5vAyuMcdLQgTwU/wJWGyrK7Ccnh7uDBUp91K1ejLmRNy6Nk0dk5g5j2xomLlW\n",
       "ukqXv+d0S6i0sfmrfcAw/Cd/YK2jhcksau9t+PDyrdRzalGU1ZoI2C7JQwU8VgeS6JeGea2+P/YN\n",
       "Y/IJHi2tR7H8XBTIOaTSax67OrJws4Cn8NelsJqwKHpNqLoJ2awo0v4kPMhzaODE08/wnmvNOxqQ\n",
       "ODsxnzo4v11jwIjdOCG7zAGR8SHwOQN9wn+48ScICgkAAAHuAZ6nakJ/AaQa0ABNj7gkg82vWVaM\n",
       "uXYZPSoS4no1b/aFPIKc7ITl6QtjfPz6hdEM8ZNO5TBX3LA+iIKzFBCFa2HojwjqSVTi+YbiXqtV\n",
       "OUPOgyEv1pFml4WygUtM6ZXkwY2oeztcpwFtXNidZx+BPWA2Py3HJcv6jlHbAQFVCklpNrbUl6st\n",
       "zrmSgVRoAuw+idVSyb4o6YYqlW6caeq/qatYnJDFAOZlGLsGWaRT5mrSp0muwewnio+W8utTgUAR\n",
       "PcXtf7ByaGXxVXM3Pzzw4P7c8zrCvFEZS5vIBpinByKIvfvggKWY2lHMereGQAxhTHfyug24SPUU\n",
       "33ErK5QhZnMD/QQu9e2z5Tk1GpKDZ8wOA1ivouDTmmzn2xFE3FTmooeArqsxodIcLg3Yc0uDLt2o\n",
       "cz2o5l5MXjOYPWNEm/3R8RP4Q9JaVuvlzx3uDlNwAWith8nHdBVbUUefsw1IO6vCCl8d3UstXhKc\n",
       "rm8xl5lXAYG+3J0bO347LNEhMrWxp7fNiF7CFBGomvVbSfirY8uuWCseKLB92W/cwuEex/Xjw/WT\n",
       "7L/s4rjiDKPNWpD+4dO7ZeIDK8FEnK2YDQx152ybgDfZrUMBldfmse+0WhhSWa1If3kyHEyHzzGb\n",
       "6b2fMMfCtxINOpnmIZNVAGAAAAaiQZqsSahBbJlMCGf//p4QBwR/HAESLZ1KYCSXbNAkoBouvuyb\n",
       "fp7wdmdFvXY/ARnZO8zY1Kf4S0kEnYw5N83M3Tu2jYHVeD7vuQUQdypSa/qkzc9wSCfpymGc5JO9\n",
       "ciAgP31qed6cr87IzzlVEK7WSb/R5DQeIxe0BapEYBonWhfz0OivVZkJeduVb0ncstDuyyuNzFFs\n",
       "1AerCNZFEdh2zPgmaRQxzDL5hvcAgKEtB9TeoqjWGFRoIB70btJCv5t1dOOK5XP5iVsaBxQpXJXB\n",
       "x3MpFnT9uzv68/9vOklfdnmNRqk08EcNECK+QeZg+Yv08122l4PiR5HBSihpfpS+ovBFlfC5ucLy\n",
       "kCrCvVvg6KVsl5G1t4UJDpIyvrtchrxirJL0Cqbkaz9C9rN/OoX3odxhaCMTVLsaoNmmFauapOKe\n",
       "90QWsg7oqBRG1sVjuPX5smR0fEF6Ryej5i6XtVMvV6e+JetT8XjUGQLOwW1Q7jjb6ni+l+Vk79N5\n",
       "/EQbMXid5wO/UA8pFHFCqA3teP/jZZE7g/KbWvX3P8yS2ZZKJNsAaats9J9fHfLD1rrMg+Jav0Ow\n",
       "xeVubqHeJ9wHbr9pReQ92sTnV9gq7WSotq2oTEPOd6uoxBU0+AEtUpOioJFqt/zLpVhgJNJWqqrB\n",
       "iSCsbvmoQMbYZ0Nk0WP9EIaQdTSa8TjTWtivxX3aXg1AWztwsCIhVMOal4m5oqzkNpyNrR5n7rSv\n",
       "VJ8PCmvVmiHvEj2R65ZjnqjADMGmoxz2eW956uBNX2pspex4p/rATCf447ijUFcK5fyJ5hGeTDNS\n",
       "Rtc8Aac3Ivu5wElVvqMjG5rWNHTPF5ywvviVMsKtFBVg3nSRtaxTGLXHd+S9MexV7DmLUFpI5UTV\n",
       "G5dT8NTkunp1uf45llSbU028M/W2RgwjI53CjN2gf0+37eCXuHBHxrikt10vuN8+sfTRVEIioeMR\n",
       "d4Ii1TnR2IIQm6P+0lvz012YzrvHtReZU9xWwJ65rI8HBqFL8HxEZx/EYrmT4+rQ3tjDumcyGCbj\n",
       "3H7dS1aWcqkRkU9CWdXYDyDBDazRM9VxVUOoeUm/wS+QLYDkUr8YCI66s3VOVesmxhPH6QPiBssG\n",
       "2meHWo1lx77+9yfiH3aW2X5jojTqShF3stbNHdVHlV6sd2ImjKPzEeFwMFQo/SnpT/4QxI7+5aWT\n",
       "L23e0/AZQLDHsUhq0KGwcMRfLJNk+c3Ogogm/GOfF6MRThr+NkuOUAhC6AbGWZGjTImIlP5MwMex\n",
       "eaWsRZmV3F0qWZ8f1yITdOyMYS9595N5MWxEpRyBndI4fqQJK6wJkhyJcNPH6VmdTPuqSCvck8QE\n",
       "BfXDWuD7vUes40Dtu12VSfGNqN8tkF4bCEPsbX3k0m5SZ2dCV6PqNXsFpgfDpZ08CXM2g61x+qvV\n",
       "opDm+2wm8BxObgF7IbdT0yuO7TKa1fPLUOcO1Fg+16sU21YzxSF1I3IREhYtKC8RR1VwVRP8VH3I\n",
       "HC7JBgMNskgvBZ5eQVBtAwIIBaQeEidJTLpuvzIuYAny6/kW8zq4GOTWY49f5SwhQ6msYtL/1j1K\n",
       "3LkxDdYS7d7HU9SvIvsC7Ni5chTnH5dlnmIrtgrJL+Nbn1bEdgIlE+jZ2UakhDkCTjXP//U/0Z+K\n",
       "RU2rtiVU/A20DG3zz9qOJPlh/CxAx+fBLZEjOCSlx3D/pT5q0gfxglQ34rs1s8W9t44XLAiS9+Hg\n",
       "VZJmOo/UWgUskekC+D9nteDLaqM1JQa2YcCtXcWj/Ny99+wV5EuD4T8UFF7YDuXTxY49yR4BtV5M\n",
       "lj3a46Q0QP/51q5toPM2Ev1p80x3prbGkwUUANvGpdJoIf284LK6HRaZDCxd48KiJwLRJjABIxMw\n",
       "0yd3r0mGlGwm/O+Ho67utPXXQQxLVImJcHcBzs8s/y6KkK+n3TYezc2pujLWNR6jbom1mxBIS+bB\n",
       "322zcQh/CxsdQDjPPrQAPijT19eYyzmYkThJhGYCoee9hfGLjJH5QgrI2dxGCEVKkkjiRf69vOjA\n",
       "W38jJPGbZTj0uG+phRAuvaaCFBSSePLPZeDR+bujShyciwsLgETOqgCLpCve9qPa9+UPO7CJda8M\n",
       "aFeH1NgkJsNXoGF9wApJNBI3pPjmDeMk4Icx/hm313OrcIysdI50if6Eayo3bpZZYLPmgdMHzqJw\n",
       "I+mrSUNjcLCo0c5UM2e/xfGp8j3A3Qf2JL7F9mpOPavc9B05T5RE3+qSyq64mkLX7cUIo55eNJau\n",
       "GtJfwYwiHwTcAAAEmkGeykUVLCv/AVprX7+YA8u+3sL5qwRueovYTHPf/F6CUc8O/OTocMXizNCC\n",
       "+xzKJI7c2UjC2UZS2OXJYHxbag9aFl6yfPHKxliieS708ev7h7YHAbIlRcm78Mdq6AsX3+6+52NZ\n",
       "sjtD+vJIeTgL7VdclkXkOxPRx/6lk3iCnB6ym4Bdst876bBrl/TRfi8xo4qi3cCIKMmErau6e9I4\n",
       "DCbg0Mv9WTcUeuGmX5se3tnDMrSwSl5m6TT+km5Jt67zRvXVJVAmPrBC6+daDRV58mBKiqeLiTvf\n",
       "5qomJoTi/GuE3BkHfljPsU+vKwfyUAHtIrlVKB/4FKvUqyNt2RZQscyuskD0M/luYLVkHSQ9UJSu\n",
       "dp1KIzH5O7z+CEETR77QaaPvCufZHC8ejK0osh4T83Ddm310s8eyHoaiXjgg3S+mjL0fW3thg2C/\n",
       "/J7nc/1Z524F6EONFohRUprgCr+WnDwd56ZPm6NeQXW/rSVlhJf3DG6tLU1TUqaTT1P3lAi8PpUL\n",
       "Qm+uacN5wF14ufRaxA5Rhzq0tEXnrXi73+A0C8sOvGsVm6UutoHFNxH6gqpZ6OJ1phxIRy8OvYmK\n",
       "DscnseCG8/laz3p1Q/Fkp5H6MgJvfVQWLvBY+eYQw1uSn8nZTMXYj55Fg43Y/wZjwNcb70ZHrWMr\n",
       "u5acyJJvt3+3FsESlD/7Ri2v/S+LAJW1EPSAoVZiTTQjGID5VJALTIhkJVnC1JXEprwPm2K+4sE3\n",
       "r9geTk5IA8CAebqx/00jsoB41mHnl16TIfGq58FT1deASN8wGoAOP48LuIZ3HuxMAdGzL08Rv61G\n",
       "sAsLJ+U6T5FlSKQpUEHekdO+imrshc4dX4CwDIFUI+dPonLVsWGMYs3Y+RHuP2lQnov2bFuHngYD\n",
       "/rEaZ8ZK2mVwBUAFphUCjhMGN64TVWqTK1cRecZsQmi7iaeS1gEbWZzJCCj+Cmgq4fdY1qamDCE1\n",
       "kNS/UUy91fLQquYAesDHUAi1gx1FGL9jdQPao/3yya2YfK1pbFpfaOts6xGU0HmuBASgatkVRzR5\n",
       "fxVqe4osba2seEE/OkrVM6UIeM2uEGbFzNhDEb+2H/FBqGnJzpl3XPiaN1Mb97QF2YsuTyme5XgJ\n",
       "1hDBqYoKMT9Y+nBOjgoW+/kj+q7cehXcvxJkpXjTIuIgHlJct4hyIEh6OJhX7Pf1sliI8em2cBDh\n",
       "PV539M/ewa7TJxRHvDmAbDOSaamuhnPJL3NQOHaCqG4SAo+qMPHC4xLKd12dE/S/3mB9TRmGpWi1\n",
       "LovvHAfoMT+GGn8awTt36PqnJxQwbDaFNcJ7dJIIuwqRvnlEZMABaoD87BQHj5jz5zPLL5zhW2Np\n",
       "1TCUieaVRQh43s02SnXUa5CG23kygKwVuLlj1Ar9ov4iMKzIRBuOfLUZvEUsM5a0WG55/s7SJM9S\n",
       "+zn070uc5HH2hJxjpEpku11waCptM9r7lSlQaFoBkgvY2Ulayv78LaitiTCMxYO+PrW+HLVAmRPq\n",
       "BmCJRkxDTeRLJ4k1gFpah3pgPIXoGw1YzqtBZ9MsYAi3CazZnQiYqc4m3vOMJpn84di5AAACFAGe\n",
       "6XRCfwGumhWROXqeiqVH+QCRlpOy7UbeiHRJd23aq+coN+Q9DNyUbXNtqwCcKIK1zVFQNOe+2beo\n",
       "J7/B7k6Shj8tdSKaeOJGxiSbAR5vu/H5dcTv+eA62jlmB7SK4ZfL1TFB3azvt79zjL5iq1zOEiJb\n",
       "MjK2Z1dhznQnxxXNQSJXZOOt8cd+8Awng0SzOo2EKiLwkNaWlIhbmxOoUnpaAe4Laz38KMYsxpIg\n",
       "6joIlUkohoMW0Y39wQ/z0pcP+5KPXPwrk+iK9avDCQjbod+p2Rvh0DT2wJCUN4LqYdHGOqpEzvZ4\n",
       "TKYDoMe2Tkj0Le48J8e7sOAzOCxqS1szFy3qLFdI2Y3lzoffP2bLR9A2evo30u1gbzh8j0LlY8ji\n",
       "qKTt0D33BCGXkcfhTJV7/sA4dRV+WHUCPGV7Q35aA5SKDVvCJsaLTU0sWjEuvRT/pg0xDQYJbihv\n",
       "ZU4FLnd97fpjzFTMthSEht912W9OM77dKY7sErT/C77LJVIm/WaU0JrvSMfW9mHiGtzsmezZkx9z\n",
       "u6uLRuqdElZbeUKzT0O1JKVZSgYzL7/cJYlV9HG+hyCmHGV9A9ma59Ksex8MZ4d/VEJjpn9va7ZQ\n",
       "njdwzrsU3aYRSFPuS22VgpLoPizzTN4oXS8SbePgNbdj1T2kIFv6Z+5K+PD7e22g2yeg8YW5IvKG\n",
       "RWwOIkq7C0qMhtqSPzccigMAAAIcAZ7rakJ/Aa4WI+2uE9Gy+8OjWgExSjWVHMZpH51QaJv/EJ2I\n",
       "fsI4gMrBmqCS4sZep/trabSCjZp3UCrTSRAvyhPd5I5qQR8rqMMibjwjwUBEEBI61XLR97uY44OK\n",
       "8xeFK0Pw2uPEJtaXMd/+HUvRwf7nZrUylIcGL+L/nji31LJCuQgWf8OqChRHnMbTBByu/LHSwDc1\n",
       "lQ+iAVneoDxMaCV6LFoFTs2K91t2oz50GVzueDirr2Ec7A/Orq92Gh5R2S/goQKdvnXbeNRULdIp\n",
       "EWmLh3jxai5brelOpNQDpfnNwwrduXmnP3cBsBOpmq5sXSMKyrNEFJGnn65nTomj3Q6dx9v0DAxy\n",
       "Qz2HnEJ0NBUshCfPG0vS1JVBwTWAKWv1oyV2jcTuY/ALpwfAMin8jmJqHHSv9VbKAnyrGgL9OEAP\n",
       "3D2KfWoj+DOOySAYxiVBeiQuC5teIXnn30B1EUtwpuSh+LzUtfGsigChUh3/GlkukKjtQ3JM8R8s\n",
       "HjEFJXfXXD1Uzf0oQHvEVPM8Mec2FjpZ3f796AvhhQiV2lG3utuTlgPM+hsHcGdhcob+4CCLucJs\n",
       "aNMmX4kn9sAJsLYGr0LJ3p8j9JVOEiIX6dlDna9kNXcJNdJOBZRrzZG0MESUDYcjE57WaQ3j22fB\n",
       "BvMNTTXz68daq7gvH1YXSWYeVpcvllW5bey3Lo5md6dvgQXh5oqqekQ2y2XJOhzwAAAFzUGa8Emo\n",
       "QWyZTAhf//6MsAccWwAAuhaxjgz8b+t7SjpPYekZWld7Rhf3cNLAIhFzMLGqKXYjgy1MULyP6wUI\n",
       "6HafslcSzkTzZCZMTC2nKVLvYlFy83EmJQ6ZD4QJV/ktMW9xCE9UlyriNx1pkHWSAaHZ1O9kCfiT\n",
       "MS61CYWK8DXkJ46BKV05qSk3lKtKiSLsSQIjR4yi3lUgPji4O/+GHzaBJsGq04BCD3HbC+3Uhmzd\n",
       "couhy01oA7MLxuyHzCDDrRJsKWyaUtzppRox/89VbbrPd6RsWBGKeAxF3etKnH9RgUshj1AGdPq0\n",
       "lxqA4SzgPOgy+GTcohuVcE+4uMdODEmJ1fEcvNaHTVF289cVT+LoXy1emvqJ3SrEYjt5yIra5c4A\n",
       "0N/w2z/WAG7bTxMotZTKZMfnNypKwoLTJZkwhJUCSdaYmokp0Yvtwa+F3NtFGwVu4HwbrQHy3r8u\n",
       "6zZxal8DIIyUtC9+NYHQOeGCV2/odXqDXM3J5Z5nLew2HPXzh5SWqPIgzUWn2KDfDtZNsdZz2KPW\n",
       "T9H0JkURkBcMAPGgjfZtVB8duhVkt3y4GOFRVlgIruIxo+claq5Pd0pip9jhCkDmV1V8EFQpX/gL\n",
       "FtPhkq2QknAqID7D78J5aTHL9hb7+mkAzrvbmvRmd2J3JShWAMYQdi5eP+XyW3IyvZfb/DSZvT2j\n",
       "VHdG+I29ePP7oYDYteW0YAj+Qt3IL+5FemqzLxAXGrHx679LYDb54eFNXqC/nSZi97FkDsyEi3+S\n",
       "mAehPJpjhTyGnrM85C9WvUofJf/KKMCTV3EPc19Cj/5VZPL3cNZ2uumAnC1FcADKSmz+vnuvs4Fp\n",
       "wZSkNRn8iUSYxaEsAP78POikXFVuyzyEqDPRwUzA9BTCHlMO6FAiwIP4R45KiZEBBjV1cw95HP7t\n",
       "ppwq3OMKgiihjh9csSSJmSbW31lvY8P4jBbuKd4pxKrSxj9WCWqMAJg8cPiUWEnd9A7hij9GGP9Y\n",
       "WdZ4Bjt38Ck/DzSfPLxP4GS274XbfUL1sIz2ecJ5nNAxukBKWZR1107xWyc2ZxIg5umQzXsrPQY0\n",
       "MwBTeLn1T4wVwRUABtIYfUZKkCpHCp4WeAT1F3H/V7NVH8ZIpkGHobkG7RYRPDaDJkU7nX1Qgxmf\n",
       "jjXfddHP2u1BeXKveez0x69bDgm7EYuIvlAjP9EB9FGoGNRxHtsZ5wO9H946/vn7PLqz1dtdvM84\n",
       "Q2FRNhWTrjuoSnfFkY2aGQQ/i3vLc6CVIq88ZBaUlQfypRqOXaHdZQ6489BpvvdkUnrvKoGqx8MY\n",
       "9pL2a8bUyhqyr44kWU2xWYeRJUE6a78dNJXmWGE1YLwYcW7uf3bm5WJ4DHE96Bq33Fqh+9lwpApe\n",
       "cOMTxrJNuLUjifd7P6vOmiPvOyp48WRPPX7DnJb3a25fR5I6NFQ55pSvUuon0CiYhbqHEOs2eh5F\n",
       "+b/PzNiO7Vk+dEKeg5b5/BMGgRvJzbPi9mOsBrkt0EnUDOcVwSeAH8cvi96gJTGiPIoPyR9mB5GF\n",
       "vNn/8yrjGpX//wRZCChYsLRBGfwEXyImAq2GeafHXQ4UIuBWTRKF4//YpJnZ6MNLj5w8OMTVCMgX\n",
       "Y0d/3L86pDv/vsuxmVz6jJUqwtrgRCUn0yJXqCdbvPewPMGgGdKoLzitUHYp85uyoUaEnt1ii3U8\n",
       "PhO8zIMf+NMui7hJ9N5y0PFNaofAgmDE/4edXx8kdv6fpFVlTKkOzx5MuOHpHAxFR2SCM0kl6ST1\n",
       "EYoWvun6aNkZsubakka+IZPN1XhKR73VrKoPlj+9jIjGFtFJk1a1iovTCJQEuRZotLrLLzfAttc+\n",
       "dzzyKinSO9Tk19uK52Ia8wfs5Vs2i84n59RrsSLW6PPjQ6ouA8xL5qgwblCn83NA8cdhxNDd6Pc4\n",
       "k/PTwuE6MmZdxdRt3qPwyOFWPksztltGhKqHbnQii0RF/sAiXu2kbc4gpGaY3Y1G12yc7BOydwAA\n",
       "BCRBnw5FFSwr/wFaa1+t2ohNUN4YKdXYMZJLcCgATwVt9/X0foGAG3g1evvJO8VCoTwlave47cNv\n",
       "rOU0NJCgk28zQqtNk7pQfZuF3vKOCVPUeCkwgTPsvAJ70dDg/AwaSi9BbSfSc3WosNi00PJb5KnQ\n",
       "rG1QVABj7ShTFWLSFqGGCC3CDcT8lWcwDm5QVn5pWLr7UYY1hx9xxzGX1MJdTHUyq4mtFRbYIAVG\n",
       "GKaHhQSA8NojyzFN4+E8j9h7qNy/3+12nLlUvKzl2N7tNjCpdONXgKJ4Sc8wr15my3AzLcMSXdLw\n",
       "DMEk0DV+++F2DhIZC/SJfuq9oDKEilBy/eWQQq4iMNYIwF7bC1p1HIt/kYbpIAhUUPHMjgfvlztc\n",
       "hRNp/vL8gfLtIKGJN/qyKP9tEJlOv3WtOS6f1R9IJjEGFzVJmHPc4o2EXRnsXyTZv7lsCKZIQ93v\n",
       "Eqkxmx9j92H3fjVwfvu5f6wFLCioyq6l6s3SEkslYRmOnP4aQMu6wlPOAr2UkvBw/0KqoZZyEbfm\n",
       "VMDdjCc4Lxsma2HFCEx98UIProbG60ydsqBRTa4kMfqYl9RvxPI30mj4ZtA/mLYW2btGsyzmAuVS\n",
       "ch+yTrVu9CdMcJT48gw/q2mjSG1T58XomFUr0u8QvyzPVrtF+XijpVKGea4DMUpQ38pJ4F9RcBTw\n",
       "VQGd3pDlDnp96IUlN371XSZ8a7KEVQDAWYBuZSKzLhXg/MQCGZgxqLjDxmhhSZSbJNfvt+eEqVvr\n",
       "rPgNtqszCHuQNR0yDBLhUXyd80rfWFYgS8n6liEft02p2HQ2RagI/oE+pUs12WygPTtLP5S+PWvn\n",
       "1JAriq3OhgQs0F/CREsNQolTzP81PjFJbZV/ZYh+Ga4jZlQDFeDs4qEKB/Gwg+Si1vdP4KxA0F3k\n",
       "LWI8NyypT+71/lBGsh++KRHd55aGDKbrh5k2QmHSzK/zSxJQTj05DE9skQuA6W+fpWzKKL/nFjEi\n",
       "cUnaIMaKsQJ8Mkalm241JNbFcYp2d3PXgY8R2aong8AJuHSu82YmtEQRTlngCJxAQGVxKi/1wlXi\n",
       "hI9H9ovBqUw0HR9ZKyYSvFMcB36T5SSf5upnym4SzW84EAp1RpdscBHtmWKdU8Y8PxeWLgSEczUy\n",
       "7/tv/FQzasKTgdKPAALm54KyBXNetx6FP5UNiisaGmVum4praiLp5lDRywOfsCPSP2K5jAfH1TuR\n",
       "xXR1ohAzqE5syGlB26NRNKQ4l9z+EVqJ5OZtFTC1VzealO4pQ5sdMLZvHyaXAKrvRf72Z67icqAX\n",
       "tQCIGQ0pZ2BxIl7Ryq4HOAW32S7FMxdkccS/rfm/RfqA9y/CeWHzLHXuEVfCwr1U1k3ZnguJhIDi\n",
       "2K2mtoEEeGK3tcAHWHVaKZCzgyOXBYmM8rWGqa1eCI33W+yhAAACBgGfLXRCfwGumiuzs+c/8tQC\n",
       "muZzjDGmPYi99pQ8N4vXR2X9colenB+d4JYZaKEnn1cBSbztVEYmUlYZ+o9jjrSu7Ek/kfs6NY7p\n",
       "JP5CjOdqUeHpxqBw1vIj3FhcZjRgFYJely35jjwKGXMfwiArSf29DBoptIwaz/JW8gGHahxmPaOz\n",
       "TWsJBRQMZCozQhCdbN28L2rbqmYqt4JYCucM0ZAdcW7t6BP4orJvqmL9mki5gC7UMk0fNGeWnn86\n",
       "Q1mdHRuI2yOG5BglxLRIt4UkMc+8z5Q+TyzRg/B3GHX3Jt5/cxer3ueGBNYtzP+bncPzc5kNsR0e\n",
       "8uKAoWkXbCAmZ28YSHAZpr33bBQu9gXXyD1APq+UCeor8+JFpUEhlWQ38scRWg/j+mHEOTNLhkmB\n",
       "KIeGCnP1N/w/yE6a5Fr+VpHH8osse6flYItBeLBfZ0r1wprizAN3zzWIOE2ZvwxyVZuwxvaCQOd4\n",
       "f0RQA6asbuWMRvXD6dWstv3IZp+vyvK7Unfh9XOKTAwTP0+6dJyqP0UUlXAzlgwNCDeUMfl5E3h1\n",
       "j8YcuVVHbc4ZFJwkJwE3tcWEi3mET4nQCFLvWzcKhvSBebWpBhcvFFdsfgpGEZ7wVWlGOiQRmvjs\n",
       "cq7DOD5V+3fDylXgmi875E60SurcsJ01lul2GPuXGwzq4hQCUPsKDic6skNvAAACUAGfL2pCfwGu\n",
       "FyrI/4C8ZCywzyANkWEMiREhHNaq5ZGvXMTiJaf9QTUf246oQZ75UKDmu65YmO+i3msJVwqTikW8\n",
       "hgPCGWOuIUn1fo5dznvBgPrQTSxPabr2E79uFjiDzXwRaL8EUlXSQ0d4KEVic8aSJ2oUhHqIdWVt\n",
       "60RK/tjiM6BSRHWr/kbOp+a01QCD57x1m7FJ8XIvOk08zg/9k5IyJbJiYt0y2LOpjQ9a/SQmolOs\n",
       "1MGRxUb1R3YEGCKacgE05VKPPw2mM4HPEEpo74Y0dv26C3UP0wo3TbS6aveyHvfzZ3m4K4697xRW\n",
       "m4JzdU+V0K5iZ2WxOz3rgdSHt/66QC1Dr5b0coMubv042sIBCbQikGg7FNQueOZ67NweiVNvH4zV\n",
       "Cdy5GUjPjC1xPFlO6Vr3ZwB5nB/ZQWlPOWC2ouHevbDPC8vdS/BJBhzGLuC2KVwAT8rkX1BhT5HY\n",
       "M9cOTd1CkUBZ4xsmZs7M0n0fJYGaQMjeb8k0uMwT4cfqCgkBNiEFR1rRP81LD7zyA/rjZwQtg4qo\n",
       "jOFsUdbpHjxDbIpBg8LDCgVALC1YdgHge7PmieVn7q/XmPWi38pztbFLIRn/9VcOn0i0/fheBy6P\n",
       "nEyM0UGxL8DZoFKGTRSpLz0h7kJK1Od2PNAmOCbL1QhY+sodLeatmta635McEooBQojD2d/As9SH\n",
       "hoa1reKaCnHzDl5HULDVS3C34nEK6rabTjgKquEyNCnWCMozHk9Gbxj2eiS1gz9p9N/75JPao5f0\n",
       "NG7DMByo+eUtGJ5CHNAAAAOoQZsySahBbJlMFEwn//3xADrpwiAEwXJVzpav5dD9LtSmvokXytTB\n",
       "gGzQvRzufoR6GMrlzqFx1ihKaCQV/l6Ywas5fq/2avkZtRgzbb7OSDHB3v/qKgk6rpCpGsFSzBnc\n",
       "h02XmW/AfDYn92KNWMgJYI2jsk7BEGJb3w1/OE19xxvFyboPsrVOMRvfbfH0PasrZ/5Rd938lYM7\n",
       "dDSaTnvdgUVlZNAxgYdkoSXi+ViBK24xivjySvUbdRFmcIBQ1QEr0tRsgtNWsvTKBf4NwEkL9Ogz\n",
       "Bh/CEwGd4554blXV3p2dYt4XPLJ2+BFMv3Z2IeeQ4Q2Mh5QBmRCheaiu3busKX4lIZYwn9kWkpPx\n",
       "KVrB/Ee+GBaz5zl8Yk+mfpL00AQfWA0WqDYWJc9yG3Y305Nw49pG0QbTneG00CIejy9WnXh/+oMz\n",
       "zACAEuxub5chnh+T0tash3h1zoVek2a+kletb1NgJkSY/W7QDEm3TjaRUtYK6Vu3MtvJ7CAX/uX1\n",
       "N4+HS0Ws83KMiQ1byxJo/ntZ2E57ZqjmwlfksFIxyKlY4Ygouc5nMOitXxgXpsZtcSCsUd+L+h2V\n",
       "L+8V0qAOP0ilKGjohep92+z2/icUE9Ab6pEhUpNuDKACjd5wrvuokCIUswF8xaJ44lD2iiSEVWpw\n",
       "iFgvqFpm1MuurAzSE5Z1INxDDfuqotAM/xD9N0jjuCEoLOB13d1Ij6xTJb3a2iPEsehc7bgvocFT\n",
       "sIo8TH/1jd2209PgTB93C7x1M6XhrEQ+369E0fYKvizLSY7trSKHeuBngSBhDyFbobI8zqbSVTXk\n",
       "KybdimcD75LvWaf+/TmH3fGqkA9q0mzJGU9P/eiu9swfS41FrVLVgnLcfJ7kLzG0J5bn83liCWaX\n",
       "rTHQ0fAFNKW3wvJJVUJhGh/Oy88NkDvzv9Bl6TCltU8yt3EREeHWyxa6QOVN1E4mbHEf80sKZDkB\n",
       "uKAFm/iEDsnF8iE2JtMhPBZktNXvrabqral1wJrQzGrJ0mJAFnJygtNAYjE+Up4EqmaAlj15axbI\n",
       "sfMDWcWW+szvrJTcH0CgjYSb7lYLXpAdLPqMvY5qkCMaJgvyXpobjjYmg1y0f5KofQJvC2e5ADw3\n",
       "6IlrWuqgSWQzaab0Pt8+Bs5Gszv2A0rO/wEyNi61supVoAW//8VqLD66ykXZSQ1GYXuhnJgyPCkN\n",
       "S29uBABmvaxaEc25dPMS42ZJmTwo/3p93ynF5fZNo+7eSlEX6c8mP1rAAAACbwGfUWpCfwDSmiei\n",
       "Tc2UASFw+QBv5Ms+VX8bRL+P5PeEF9E8SqKxxOfj7NujimUx6l/XRNn0cNbOZthMoyY2z1vz7fE3\n",
       "YqXIbhEWTa1nfz4I2dhp1JEBRm+TcIvNbsPl7F0LBWXSMvR7Avk+SqEJmSymVDWzemHZmg8VsXUu\n",
       "z/u9g4wtlo+Gh5VXHxMwYzkFjjQYQHnWRNnPftb2yOs3Hql8M5iw4kP19bxY9KalzYv+5O/M0Uq2\n",
       "g+S+v9mkD7d3JnVfstir3WPKDFH1wU+oRcanan4b8IBNzZDnhNtdoWpVQtp9xyI+xk1uXqq9ymEc\n",
       "8oXMMa7E7jsUyqWbcFaqdOv7FTm3WL5UOwojo7pST0Jdba4a8n2VkXPEiCrAF/v7ksvF/29EYsyS\n",
       "n/X1M8hcw03HUrVYgBrLB4+ZrhhYgWZDXMf4q3LEsRjHSmyTOMcFoutMSov4UuIiev1hTjDWzbKy\n",
       "fQAIxy9F4kwY2rq099OOVeu+MA/TZt7YEkph02sJE+Vk8ZpjoRhu+0D0tG1EZGHCxdkvC/FYnJTs\n",
       "4BoT0pJ5Kc/lWzVeWdvH2kJKPV/pURX5ojdXXxTtCejYydgItgE1m2cV0Xfbnx+VXoSEF83Xm0Vj\n",
       "EUdLiMqwLikwh6FPNOXou+EZe8BFI0W5KQbRgaZtvUyWvnpbKw4xLm0TxQ04sYtW/8i3dGd06kCM\n",
       "abvsnyHX+qolxvx9u48GJmOdw5clOlRCNHq8TupC8qfXQ9o5mtJpBZTYH4hU2i6gyzYCYLLXa9nE\n",
       "6ImuYYAmijwOMt1P5/icZQtqBioEWwmA+BJ+gRxZqLMWj9NiQP0wvd+dAAAFk21vb3YAAABsbXZo\n",
       "ZAAAAAAAAAAAAAAAAAAAA+gAAAb5AAEAAAEAAAAAAAAAAAAAAAABAAAAAAAAAAAAAAAAAAAAAQAA\n",
       "AAAAAAAAAAAAAAAAQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAIAAAS9dHJhawAAAFx0\n",
       "a2hkAAAAAwAAAAAAAAAAAAAAAQAAAAAAAAb5AAAAAAAAAAAAAAAAAAAAAAABAAAAAAAAAAAAAAAA\n",
       "AAAAAQAAAAAAAAAAAAAAAAAAQAAAAAG2AAABaAAAAAAAJGVkdHMAAAAcZWxzdAAAAAAAAAABAAAG\n",
       "+QAAA4AAAQAAAAAENW1kaWEAAAAgbWRoZAAAAAAAAAAAAAAAAAAAMgAAAFlAVcQAAAAAAC1oZGxy\n",
       "AAAAAAAAAAB2aWRlAAAAAAAAAAAAAAAAVmlkZW9IYW5kbGVyAAAAA+BtaW5mAAAAFHZtaGQAAAAB\n",
       "AAAAAAAAAAAAAAAkZGluZgAAABxkcmVmAAAAAAAAAAEAAAAMdXJsIAAAAAEAAAOgc3RibAAAALRz\n",
       "dHNkAAAAAAAAAAEAAACkYXZjMQAAAAAAAAABAAAAAAAAAAAAAAAAAAAAAAG2AWgASAAAAEgAAAAA\n",
       "AAAAAQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAABj//wAAADJhdmNDAWQAFf/hABln\n",
       "ZAAVrNlBwL+aWEAAAAMBwAAAZAPFi2WAAQAGaOvjyyLAAAAAHHV1aWRraEDyXyRPxbo5pRvPAyPz\n",
       "AAAAAAAAABhzdHRzAAAAAAAAAAEAAAAzAAABwAAAABRzdHNzAAAAAAAAAAEAAAABAAABqGN0dHMA\n",
       "AAAAAAAAMwAAAAEAAAOAAAAAAQAACMAAAAABAAADgAAAAAEAAAAAAAAAAQAAAcAAAAABAAAIwAAA\n",
       "AAEAAAOAAAAAAQAAAAAAAAABAAABwAAAAAEAAAjAAAAAAQAAA4AAAAABAAAAAAAAAAEAAAHAAAAA\n",
       "AQAACMAAAAABAAADgAAAAAEAAAAAAAAAAQAAAcAAAAABAAAIwAAAAAEAAAOAAAAAAQAAAAAAAAAB\n",
       "AAABwAAAAAEAAAjAAAAAAQAAA4AAAAABAAAAAAAAAAEAAAHAAAAAAQAACMAAAAABAAADgAAAAAEA\n",
       "AAAAAAAAAQAAAcAAAAABAAAIwAAAAAEAAAOAAAAAAQAAAAAAAAABAAABwAAAAAEAAAjAAAAAAQAA\n",
       "A4AAAAABAAAAAAAAAAEAAAHAAAAAAQAACMAAAAABAAADgAAAAAEAAAAAAAAAAQAAAcAAAAABAAAI\n",
       "wAAAAAEAAAOAAAAAAQAAAAAAAAABAAABwAAAAAEAAAjAAAAAAQAAA4AAAAABAAAAAAAAAAEAAAHA\n",
       "AAAAAQAABUAAAAABAAABwAAAABxzdHNjAAAAAAAAAAEAAAABAAAAMwAAAAEAAADgc3RzegAAAAAA\n",
       "AAAAAAAAMwAAJ20AAAvxAAAE/AAAAmoAAAKOAAAMwAAABXoAAAKfAAAChQAAC+YAAASuAAACgQAA\n",
       "Ao0AAAvFAAAEAgAAAmsAAAJ8AAAJ6wAABPkAAAJKAAACRwAACFEAAAOvAAACKAAAAnYAAAiAAAAE\n",
       "iQAAAkwAAAJRAAAHywAABEsAAAHzAAAB/wAACEYAAARsAAACNwAAAksAAAgcAAAEBAAAAlEAAAHy\n",
       "AAAGpgAABJ4AAAIYAAACIAAABdEAAAQoAAACCgAAAlQAAAOsAAACcwAAABRzdGNvAAAAAAAAAAEA\n",
       "AAAsAAAAYnVkdGEAAABabWV0YQAAAAAAAAAhaGRscgAAAAAAAAAAbWRpcmFwcGwAAAAAAAAAAAAA\n",
       "AAAtaWxzdAAAACWpdG9vAAAAHWRhdGEAAAABAAAAAExhdmY1Ny41Ni4xMDE=\n",
       "\">\n",
       "  Your browser does not support the video tag.\n",
       "</video>"
      ],
      "text/plain": [
       "<matplotlib.animation.ArtistAnimation at 0x10ca7b518>"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "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 (http://matplotlib.org/) -->\n",
       "<svg height=\"306.677344pt\" version=\"1.1\" viewBox=\"0 0 370.708438 306.677344\" width=\"370.708438pt\" 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 0 306.677344 \n",
       "L 370.708438 306.677344 \n",
       "L 370.708438 0 \n",
       "L 0 0 \n",
       "z\n",
       "\" style=\"fill:#ffffff;\"/>\n",
       "  </g>\n",
       "  <g id=\"axes_1\">\n",
       "   <g id=\"patch_2\">\n",
       "    <path d=\"M 30.103125 282.799219 \n",
       "L 301.663125 282.799219 \n",
       "L 301.663125 10.999219 \n",
       "L 30.103125 10.999219 \n",
       "z\n",
       "\" style=\"fill:#ffffff;\"/>\n",
       "   </g>\n",
       "   <g id=\"PathCollection_1\"/>\n",
       "   <g id=\"PathCollection_2\"/>\n",
       "   <g id=\"PathCollection_3\"/>\n",
       "   <g id=\"PathCollection_4\"/>\n",
       "   <g id=\"PathCollection_5\"/>\n",
       "   <g id=\"PathCollection_6\">\n",
       "    <path clip-path=\"url(#p2e919e29b2)\" d=\"M 233.773125 228.513691 \n",
       "L 233.935213 228.439219 \n",
       "L 241.347244 214.849219 \n",
       "L 233.773125 207.268406 \n",
       "L 220.195125 214.686988 \n",
       "L 220.120719 214.849219 \n",
       "L 220.195125 215.122049 \n",
       "L 233.500535 228.439219 \n",
       "z\n",
       "\" style=\"fill:#00a8ff;\"/>\n",
       "    <path clip-path=\"url(#p2e919e29b2)\" d=\"M 97.993125 92.613691 \n",
       "L 98.155213 92.539219 \n",
       "L 105.567244 78.949219 \n",
       "L 97.993125 71.368406 \n",
       "L 84.415125 78.786988 \n",
       "L 84.340719 78.949219 \n",
       "L 84.415125 79.222049 \n",
       "L 97.720535 92.539219 \n",
       "z\n",
       "\" style=\"fill:#00a8ff;\"/>\n",
       "   </g>\n",
       "   <g id=\"PathCollection_7\">\n",
       "    <path clip-path=\"url(#p2e919e29b2)\" d=\"M 206.617125 242.309302 \n",
       "L 220.195125 249.640883 \n",
       "L 233.773125 251.514174 \n",
       "L 247.351125 248.800516 \n",
       "L 257.852552 242.029219 \n",
       "L 260.929125 238.046192 \n",
       "L 265.152757 228.439219 \n",
       "L 266.363803 214.849219 \n",
       "L 263.399193 201.259219 \n",
       "L 260.929125 196.920287 \n",
       "L 251.686226 187.669219 \n",
       "L 247.351125 185.196968 \n",
       "L 233.773125 182.229737 \n",
       "L 220.195125 183.441854 \n",
       "L 210.596634 187.669219 \n",
       "L 206.617125 190.748511 \n",
       "L 199.851807 201.259219 \n",
       "L 197.140545 214.849219 \n",
       "L 199.012182 228.439219 \n",
       "L 206.337289 242.029219 \n",
       "z\n",
       "M 233.500535 228.439219 \n",
       "L 220.195125 215.122049 \n",
       "L 220.120719 214.849219 \n",
       "L 220.195125 214.686988 \n",
       "L 233.773125 207.268406 \n",
       "L 241.347244 214.849219 \n",
       "L 233.935213 228.439219 \n",
       "L 233.773125 228.513691 \n",
       "z\n",
       "\" style=\"fill:#00dcfe;\"/>\n",
       "    <path clip-path=\"url(#p2e919e29b2)\" d=\"M 70.837125 106.409302 \n",
       "L 84.415125 113.740883 \n",
       "L 97.993125 115.614174 \n",
       "L 111.571125 112.900516 \n",
       "L 122.072552 106.129219 \n",
       "L 125.149125 102.146192 \n",
       "L 129.372757 92.539219 \n",
       "L 130.583803 78.949219 \n",
       "L 127.619193 65.359219 \n",
       "L 125.149125 61.020287 \n",
       "L 115.906226 51.769219 \n",
       "L 111.571125 49.296968 \n",
       "L 97.993125 46.329737 \n",
       "L 84.415125 47.541854 \n",
       "L 74.816634 51.769219 \n",
       "L 70.837125 54.848511 \n",
       "L 64.071807 65.359219 \n",
       "L 61.360545 78.949219 \n",
       "L 63.232182 92.539219 \n",
       "L 70.557289 106.129219 \n",
       "z\n",
       "M 97.720535 92.539219 \n",
       "L 84.415125 79.222049 \n",
       "L 84.340719 78.949219 \n",
       "L 84.415125 78.786988 \n",
       "L 97.993125 71.368406 \n",
       "L 105.567244 78.949219 \n",
       "L 98.155213 92.539219 \n",
       "L 97.993125 92.613691 \n",
       "z\n",
       "\" style=\"fill:#00dcfe;\"/>\n",
       "   </g>\n",
       "   <g id=\"PathCollection_8\">\n",
       "    <path clip-path=\"url(#p2e919e29b2)\" d=\"M 206.617125 261.570582 \n",
       "L 220.195125 265.18038 \n",
       "L 233.773125 266.199845 \n",
       "L 247.351125 265.092971 \n",
       "L 260.929125 261.061619 \n",
       "L 269.053728 255.619219 \n",
       "L 274.507125 248.770516 \n",
       "L 277.707414 242.029219 \n",
       "L 280.566365 228.439219 \n",
       "L 281.015571 214.849219 \n",
       "L 279.426382 201.259219 \n",
       "L 274.962307 187.669219 \n",
       "L 274.507125 186.886778 \n",
       "L 261.710875 174.079219 \n",
       "L 260.929125 173.623634 \n",
       "L 247.351125 169.155614 \n",
       "L 233.773125 167.565021 \n",
       "L 220.195125 168.014623 \n",
       "L 206.617125 170.876102 \n",
       "L 199.881781 174.079219 \n",
       "L 193.039125 179.537435 \n",
       "L 187.60153 187.669219 \n",
       "L 183.573738 201.259219 \n",
       "L 182.467841 214.849219 \n",
       "L 183.486407 228.439219 \n",
       "L 187.093017 242.029219 \n",
       "L 193.039125 252.107011 \n",
       "L 196.548232 255.619219 \n",
       "z\n",
       "M 206.337289 242.029219 \n",
       "L 199.012182 228.439219 \n",
       "L 197.140545 214.849219 \n",
       "L 199.851807 201.259219 \n",
       "L 206.617125 190.748511 \n",
       "L 210.596634 187.669219 \n",
       "L 220.195125 183.441854 \n",
       "L 233.773125 182.229737 \n",
       "L 247.351125 185.196968 \n",
       "L 251.686226 187.669219 \n",
       "L 260.929125 196.920287 \n",
       "L 263.399193 201.259219 \n",
       "L 266.363803 214.849219 \n",
       "L 265.152757 228.439219 \n",
       "L 260.929125 238.046192 \n",
       "L 257.852552 242.029219 \n",
       "L 247.351125 248.800516 \n",
       "L 233.773125 251.514174 \n",
       "L 220.195125 249.640883 \n",
       "L 206.617125 242.309302 \n",
       "z\n",
       "\" style=\"fill:#26ffd1;\"/>\n",
       "    <path clip-path=\"url(#p2e919e29b2)\" d=\"M 70.837125 125.670582 \n",
       "L 84.415125 129.28038 \n",
       "L 97.993125 130.299845 \n",
       "L 111.571125 129.192971 \n",
       "L 125.149125 125.161619 \n",
       "L 133.273728 119.719219 \n",
       "L 138.727125 112.870516 \n",
       "L 141.927414 106.129219 \n",
       "L 144.786365 92.539219 \n",
       "L 145.235571 78.949219 \n",
       "L 143.646382 65.359219 \n",
       "L 139.182307 51.769219 \n",
       "L 138.727125 50.986778 \n",
       "L 125.930875 38.179219 \n",
       "L 125.149125 37.723634 \n",
       "L 111.571125 33.255614 \n",
       "L 97.993125 31.665021 \n",
       "L 84.415125 32.114623 \n",
       "L 70.837125 34.976102 \n",
       "L 64.101781 38.179219 \n",
       "L 57.259125 43.637435 \n",
       "L 51.82153 51.769219 \n",
       "L 47.793738 65.359219 \n",
       "L 46.687841 78.949219 \n",
       "L 47.706407 92.539219 \n",
       "L 51.313017 106.129219 \n",
       "L 57.259125 116.207011 \n",
       "L 60.768232 119.719219 \n",
       "z\n",
       "M 70.557289 106.129219 \n",
       "L 63.232182 92.539219 \n",
       "L 61.360545 78.949219 \n",
       "L 64.071807 65.359219 \n",
       "L 70.837125 54.848511 \n",
       "L 74.816634 51.769219 \n",
       "L 84.415125 47.541854 \n",
       "L 97.993125 46.329737 \n",
       "L 111.571125 49.296968 \n",
       "L 115.906226 51.769219 \n",
       "L 125.149125 61.020287 \n",
       "L 127.619193 65.359219 \n",
       "L 130.583803 78.949219 \n",
       "L 129.372757 92.539219 \n",
       "L 125.149125 102.146192 \n",
       "L 122.072552 106.129219 \n",
       "L 111.571125 112.900516 \n",
       "L 97.993125 115.614174 \n",
       "L 84.415125 113.740883 \n",
       "L 70.837125 106.409302 \n",
       "z\n",
       "\" style=\"fill:#26ffd1;\"/>\n",
       "   </g>\n",
       "   <g id=\"PathCollection_9\">\n",
       "    <path clip-path=\"url(#p2e919e29b2)\" d=\"M 193.039125 274.023842 \n",
       "L 206.617125 276.968436 \n",
       "L 220.195125 278.263033 \n",
       "L 233.773125 278.750382 \n",
       "L 247.351125 278.614966 \n",
       "L 260.929125 277.675023 \n",
       "L 274.507125 274.978075 \n",
       "L 284.370607 269.209219 \n",
       "L 288.085125 263.956283 \n",
       "L 291.070247 255.619219 \n",
       "L 293.022023 242.029219 \n",
       "L 293.672466 228.439219 \n",
       "L 293.626855 214.849219 \n",
       "L 292.952388 201.259219 \n",
       "L 291.340548 187.669219 \n",
       "L 288.085125 175.511838 \n",
       "L 287.497512 174.079219 \n",
       "L 274.507125 161.077351 \n",
       "L 273.075771 160.489219 \n",
       "L 260.929125 157.230919 \n",
       "L 247.351125 155.617654 \n",
       "L 233.773125 154.942591 \n",
       "L 220.195125 154.89694 \n",
       "L 206.617125 155.547958 \n",
       "L 193.039125 157.501458 \n",
       "L 184.709422 160.489219 \n",
       "L 179.461125 164.20702 \n",
       "L 173.697363 174.079219 \n",
       "L 171.002796 187.669219 \n",
       "L 170.063683 201.259219 \n",
       "L 169.928387 214.849219 \n",
       "L 170.415305 228.439219 \n",
       "L 171.708759 242.029219 \n",
       "L 174.650753 255.619219 \n",
       "L 179.461125 265.011192 \n",
       "L 183.655445 269.209219 \n",
       "z\n",
       "M 196.548232 255.619219 \n",
       "L 193.039125 252.107011 \n",
       "L 187.093017 242.029219 \n",
       "L 183.486407 228.439219 \n",
       "L 182.467841 214.849219 \n",
       "L 183.573738 201.259219 \n",
       "L 187.60153 187.669219 \n",
       "L 193.039125 179.537435 \n",
       "L 199.881781 174.079219 \n",
       "L 206.617125 170.876102 \n",
       "L 220.195125 168.014623 \n",
       "L 233.773125 167.565021 \n",
       "L 247.351125 169.155614 \n",
       "L 260.929125 173.623634 \n",
       "L 261.710875 174.079219 \n",
       "L 274.507125 186.886778 \n",
       "L 274.962307 187.669219 \n",
       "L 279.426382 201.259219 \n",
       "L 281.015571 214.849219 \n",
       "L 280.566365 228.439219 \n",
       "L 277.707414 242.029219 \n",
       "L 274.507125 248.770516 \n",
       "L 269.053728 255.619219 \n",
       "L 260.929125 261.061619 \n",
       "L 247.351125 265.092971 \n",
       "L 233.773125 266.199845 \n",
       "L 220.195125 265.18038 \n",
       "L 206.617125 261.570582 \n",
       "z\n",
       "\" style=\"fill:#50ffa7;\"/>\n",
       "    <path clip-path=\"url(#p2e919e29b2)\" d=\"M 57.259125 138.123842 \n",
       "L 70.837125 141.068436 \n",
       "L 84.415125 142.363033 \n",
       "L 97.993125 142.850382 \n",
       "L 111.571125 142.714966 \n",
       "L 125.149125 141.775023 \n",
       "L 138.727125 139.078075 \n",
       "L 148.590607 133.309219 \n",
       "L 152.305125 128.056283 \n",
       "L 155.290247 119.719219 \n",
       "L 157.242023 106.129219 \n",
       "L 157.892466 92.539219 \n",
       "L 157.846855 78.949219 \n",
       "L 157.172388 65.359219 \n",
       "L 155.560548 51.769219 \n",
       "L 152.305125 39.611838 \n",
       "L 151.717512 38.179219 \n",
       "L 138.727125 25.177351 \n",
       "L 137.295771 24.589219 \n",
       "L 125.149125 21.330919 \n",
       "L 111.571125 19.717654 \n",
       "L 97.993125 19.042591 \n",
       "L 84.415125 18.99694 \n",
       "L 70.837125 19.647958 \n",
       "L 57.259125 21.601458 \n",
       "L 48.929422 24.589219 \n",
       "L 43.681125 28.30702 \n",
       "L 37.917363 38.179219 \n",
       "L 35.222796 51.769219 \n",
       "L 34.283683 65.359219 \n",
       "L 34.148387 78.949219 \n",
       "L 34.635305 92.539219 \n",
       "L 35.928759 106.129219 \n",
       "L 38.870753 119.719219 \n",
       "L 43.681125 129.111192 \n",
       "L 47.875445 133.309219 \n",
       "z\n",
       "M 60.768232 119.719219 \n",
       "L 57.259125 116.207011 \n",
       "L 51.313017 106.129219 \n",
       "L 47.706407 92.539219 \n",
       "L 46.687841 78.949219 \n",
       "L 47.793738 65.359219 \n",
       "L 51.82153 51.769219 \n",
       "L 57.259125 43.637435 \n",
       "L 64.101781 38.179219 \n",
       "L 70.837125 34.976102 \n",
       "L 84.415125 32.114623 \n",
       "L 97.993125 31.665021 \n",
       "L 111.571125 33.255614 \n",
       "L 125.149125 37.723634 \n",
       "L 125.930875 38.179219 \n",
       "L 138.727125 50.986778 \n",
       "L 139.182307 51.769219 \n",
       "L 143.646382 65.359219 \n",
       "L 145.235571 78.949219 \n",
       "L 144.786365 92.539219 \n",
       "L 141.927414 106.129219 \n",
       "L 138.727125 112.870516 \n",
       "L 133.273728 119.719219 \n",
       "L 125.149125 125.161619 \n",
       "L 111.571125 129.192971 \n",
       "L 97.993125 130.299845 \n",
       "L 84.415125 129.28038 \n",
       "L 70.837125 125.670582 \n",
       "z\n",
       "\" style=\"fill:#50ffa7;\"/>\n",
       "   </g>\n",
       "   <g id=\"PathCollection_10\">\n",
       "    <path clip-path=\"url(#p2e919e29b2)\" d=\"M 43.681125 282.799219 \n",
       "L 57.259125 282.799219 \n",
       "L 70.837125 282.799219 \n",
       "L 84.415125 282.799219 \n",
       "L 97.993125 282.799219 \n",
       "L 111.571125 282.799219 \n",
       "L 125.149125 282.799219 \n",
       "L 138.727125 282.799219 \n",
       "L 152.305125 282.799219 \n",
       "L 165.883125 282.799219 \n",
       "L 179.461125 282.799219 \n",
       "L 193.039125 282.799219 \n",
       "L 206.617125 282.799219 \n",
       "L 220.195125 282.799219 \n",
       "L 233.773125 282.799219 \n",
       "L 247.351125 282.799219 \n",
       "L 260.929125 282.799219 \n",
       "L 274.507125 282.799219 \n",
       "L 288.085125 282.799219 \n",
       "L 301.663125 282.799219 \n",
       "L 301.663125 269.209219 \n",
       "L 301.663125 255.619219 \n",
       "L 301.663125 242.029219 \n",
       "L 301.663125 228.439219 \n",
       "L 301.663125 214.849219 \n",
       "L 301.663125 201.259219 \n",
       "L 301.663125 187.669219 \n",
       "L 301.663125 174.079219 \n",
       "L 301.663125 160.489219 \n",
       "L 301.663125 146.899219 \n",
       "L 301.663125 133.309219 \n",
       "L 301.663125 119.719219 \n",
       "L 301.663125 106.129219 \n",
       "L 301.663125 92.539219 \n",
       "L 301.663125 78.949219 \n",
       "L 301.663125 65.359219 \n",
       "L 301.663125 51.769219 \n",
       "L 301.663125 38.179219 \n",
       "L 301.663125 24.589219 \n",
       "L 301.663125 10.999219 \n",
       "L 288.085125 10.999219 \n",
       "L 274.507125 10.999219 \n",
       "L 260.929125 10.999219 \n",
       "L 247.351125 10.999219 \n",
       "L 233.773125 10.999219 \n",
       "L 220.195125 10.999219 \n",
       "L 206.617125 10.999219 \n",
       "L 193.039125 10.999219 \n",
       "L 179.461125 10.999219 \n",
       "L 165.883125 10.999219 \n",
       "L 152.305125 10.999219 \n",
       "L 138.727125 10.999219 \n",
       "L 125.149125 10.999219 \n",
       "L 111.571125 10.999219 \n",
       "L 97.993125 10.999219 \n",
       "L 84.415125 10.999219 \n",
       "L 70.837125 10.999219 \n",
       "L 57.259125 10.999219 \n",
       "L 43.681125 10.999219 \n",
       "L 30.103125 10.999219 \n",
       "L 30.103125 24.589219 \n",
       "L 30.103125 38.179219 \n",
       "L 30.103125 51.769219 \n",
       "L 30.103125 65.359219 \n",
       "L 30.103125 78.949219 \n",
       "L 30.103125 92.539219 \n",
       "L 30.103125 106.129219 \n",
       "L 30.103125 119.719219 \n",
       "L 30.103125 133.309219 \n",
       "L 30.103125 146.899219 \n",
       "L 30.103125 160.489219 \n",
       "L 30.103125 174.079219 \n",
       "L 30.103125 187.669219 \n",
       "L 30.103125 201.259219 \n",
       "L 30.103125 214.849219 \n",
       "L 30.103125 228.439219 \n",
       "L 30.103125 242.029219 \n",
       "L 30.103125 255.619219 \n",
       "L 30.103125 269.209219 \n",
       "L 30.103125 282.799219 \n",
       "z\n",
       "M 47.875445 269.209219 \n",
       "L 43.681125 265.011192 \n",
       "L 38.870753 255.619219 \n",
       "L 35.928759 242.029219 \n",
       "L 34.635305 228.439219 \n",
       "L 34.148387 214.849219 \n",
       "L 34.283683 201.259219 \n",
       "L 35.222796 187.669219 \n",
       "L 37.917363 174.079219 \n",
       "L 43.681125 164.20702 \n",
       "L 48.929422 160.489219 \n",
       "L 57.259125 157.501458 \n",
       "L 70.837125 155.547958 \n",
       "L 84.415125 154.89694 \n",
       "L 97.993125 154.942591 \n",
       "L 111.571125 155.617654 \n",
       "L 125.149125 157.230919 \n",
       "L 137.295771 160.489219 \n",
       "L 138.727125 161.077351 \n",
       "L 151.717512 174.079219 \n",
       "L 152.305125 175.511838 \n",
       "L 155.560548 187.669219 \n",
       "L 157.172388 201.259219 \n",
       "L 157.846855 214.849219 \n",
       "L 157.892466 228.439219 \n",
       "L 157.242023 242.029219 \n",
       "L 155.290247 255.619219 \n",
       "L 152.305125 263.956283 \n",
       "L 148.590607 269.209219 \n",
       "L 138.727125 274.978075 \n",
       "L 125.149125 277.675023 \n",
       "L 111.571125 278.614966 \n",
       "L 97.993125 278.750382 \n",
       "L 84.415125 278.263033 \n",
       "L 70.837125 276.968436 \n",
       "L 57.259125 274.023842 \n",
       "z\n",
       "M 183.655445 269.209219 \n",
       "L 179.461125 265.011192 \n",
       "L 174.650753 255.619219 \n",
       "L 171.708759 242.029219 \n",
       "L 170.415305 228.439219 \n",
       "L 169.928387 214.849219 \n",
       "L 170.063683 201.259219 \n",
       "L 171.002796 187.669219 \n",
       "L 173.697363 174.079219 \n",
       "L 179.461125 164.20702 \n",
       "L 184.709422 160.489219 \n",
       "L 193.039125 157.501458 \n",
       "L 206.617125 155.547958 \n",
       "L 220.195125 154.89694 \n",
       "L 233.773125 154.942591 \n",
       "L 247.351125 155.617654 \n",
       "L 260.929125 157.230919 \n",
       "L 273.075771 160.489219 \n",
       "L 274.507125 161.077351 \n",
       "L 287.497512 174.079219 \n",
       "L 288.085125 175.511838 \n",
       "L 291.340548 187.669219 \n",
       "L 292.952388 201.259219 \n",
       "L 293.626855 214.849219 \n",
       "L 293.672466 228.439219 \n",
       "L 293.022023 242.029219 \n",
       "L 291.070247 255.619219 \n",
       "L 288.085125 263.956283 \n",
       "L 284.370607 269.209219 \n",
       "L 274.507125 274.978075 \n",
       "L 260.929125 277.675023 \n",
       "L 247.351125 278.614966 \n",
       "L 233.773125 278.750382 \n",
       "L 220.195125 278.263033 \n",
       "L 206.617125 276.968436 \n",
       "L 193.039125 274.023842 \n",
       "z\n",
       "M 47.875445 133.309219 \n",
       "L 43.681125 129.111192 \n",
       "L 38.870753 119.719219 \n",
       "L 35.928759 106.129219 \n",
       "L 34.635305 92.539219 \n",
       "L 34.148387 78.949219 \n",
       "L 34.283683 65.359219 \n",
       "L 35.222796 51.769219 \n",
       "L 37.917363 38.179219 \n",
       "L 43.681125 28.30702 \n",
       "L 48.929422 24.589219 \n",
       "L 57.259125 21.601458 \n",
       "L 70.837125 19.647958 \n",
       "L 84.415125 18.99694 \n",
       "L 97.993125 19.042591 \n",
       "L 111.571125 19.717654 \n",
       "L 125.149125 21.330919 \n",
       "L 137.295771 24.589219 \n",
       "L 138.727125 25.177351 \n",
       "L 151.717512 38.179219 \n",
       "L 152.305125 39.611838 \n",
       "L 155.560548 51.769219 \n",
       "L 157.172388 65.359219 \n",
       "L 157.846855 78.949219 \n",
       "L 157.892466 92.539219 \n",
       "L 157.242023 106.129219 \n",
       "L 155.290247 119.719219 \n",
       "L 152.305125 128.056283 \n",
       "L 148.590607 133.309219 \n",
       "L 138.727125 139.078075 \n",
       "L 125.149125 141.775023 \n",
       "L 111.571125 142.714966 \n",
       "L 97.993125 142.850382 \n",
       "L 84.415125 142.363033 \n",
       "L 70.837125 141.068436 \n",
       "L 57.259125 138.123842 \n",
       "z\n",
       "M 183.655445 133.309219 \n",
       "L 179.461125 129.111192 \n",
       "L 174.650753 119.719219 \n",
       "L 171.708759 106.129219 \n",
       "L 170.415305 92.539219 \n",
       "L 169.928387 78.949219 \n",
       "L 170.063683 65.359219 \n",
       "L 171.002796 51.769219 \n",
       "L 173.697363 38.179219 \n",
       "L 179.461125 28.30702 \n",
       "L 184.709422 24.589219 \n",
       "L 193.039125 21.601458 \n",
       "L 206.617125 19.647958 \n",
       "L 220.195125 18.99694 \n",
       "L 233.773125 19.042591 \n",
       "L 247.351125 19.717654 \n",
       "L 260.929125 21.330919 \n",
       "L 273.075771 24.589219 \n",
       "L 274.507125 25.177351 \n",
       "L 287.497512 38.179219 \n",
       "L 288.085125 39.611838 \n",
       "L 291.340548 51.769219 \n",
       "L 292.952388 65.359219 \n",
       "L 293.626855 78.949219 \n",
       "L 293.672466 92.539219 \n",
       "L 293.022023 106.129219 \n",
       "L 291.070247 119.719219 \n",
       "L 288.085125 128.056283 \n",
       "L 284.370607 133.309219 \n",
       "L 274.507125 139.078075 \n",
       "L 260.929125 141.775023 \n",
       "L 247.351125 142.714966 \n",
       "L 233.773125 142.850382 \n",
       "L 220.195125 142.363033 \n",
       "L 206.617125 141.068436 \n",
       "L 193.039125 138.123842 \n",
       "z\n",
       "\" style=\"fill:#7dff7a;\"/>\n",
       "   </g>\n",
       "   <g id=\"PathCollection_11\">\n",
       "    <path clip-path=\"url(#p2e919e29b2)\" d=\"M 57.259125 274.023842 \n",
       "L 70.837125 276.968436 \n",
       "L 84.415125 278.263033 \n",
       "L 97.993125 278.750382 \n",
       "L 111.571125 278.614966 \n",
       "L 125.149125 277.675023 \n",
       "L 138.727125 274.978075 \n",
       "L 148.590607 269.209219 \n",
       "L 152.305125 263.956283 \n",
       "L 155.290247 255.619219 \n",
       "L 157.242023 242.029219 \n",
       "L 157.892466 228.439219 \n",
       "L 157.846855 214.849219 \n",
       "L 157.172388 201.259219 \n",
       "L 155.560548 187.669219 \n",
       "L 152.305125 175.511838 \n",
       "L 151.717512 174.079219 \n",
       "L 138.727125 161.077351 \n",
       "L 137.295771 160.489219 \n",
       "L 125.149125 157.230919 \n",
       "L 111.571125 155.617654 \n",
       "L 97.993125 154.942591 \n",
       "L 84.415125 154.89694 \n",
       "L 70.837125 155.547958 \n",
       "L 57.259125 157.501458 \n",
       "L 48.929422 160.489219 \n",
       "L 43.681125 164.20702 \n",
       "L 37.917363 174.079219 \n",
       "L 35.222796 187.669219 \n",
       "L 34.283683 201.259219 \n",
       "L 34.148387 214.849219 \n",
       "L 34.635305 228.439219 \n",
       "L 35.928759 242.029219 \n",
       "L 38.870753 255.619219 \n",
       "L 43.681125 265.011192 \n",
       "L 47.875445 269.209219 \n",
       "z\n",
       "M 60.768232 255.619219 \n",
       "L 57.259125 252.107011 \n",
       "L 51.313017 242.029219 \n",
       "L 47.706407 228.439219 \n",
       "L 46.687841 214.849219 \n",
       "L 47.793738 201.259219 \n",
       "L 51.82153 187.669219 \n",
       "L 57.259125 179.537435 \n",
       "L 64.101781 174.079219 \n",
       "L 70.837125 170.876102 \n",
       "L 84.415125 168.014623 \n",
       "L 97.993125 167.565021 \n",
       "L 111.571125 169.155614 \n",
       "L 125.149125 173.623634 \n",
       "L 125.930875 174.079219 \n",
       "L 138.727125 186.886778 \n",
       "L 139.182307 187.669219 \n",
       "L 143.646382 201.259219 \n",
       "L 145.235571 214.849219 \n",
       "L 144.786365 228.439219 \n",
       "L 141.927414 242.029219 \n",
       "L 138.727125 248.770516 \n",
       "L 133.273728 255.619219 \n",
       "L 125.149125 261.061619 \n",
       "L 111.571125 265.092971 \n",
       "L 97.993125 266.199845 \n",
       "L 84.415125 265.18038 \n",
       "L 70.837125 261.570582 \n",
       "z\n",
       "\" style=\"fill:#a7ff50;\"/>\n",
       "    <path clip-path=\"url(#p2e919e29b2)\" d=\"M 193.039125 138.123842 \n",
       "L 206.617125 141.068436 \n",
       "L 220.195125 142.363033 \n",
       "L 233.773125 142.850382 \n",
       "L 247.351125 142.714966 \n",
       "L 260.929125 141.775023 \n",
       "L 274.507125 139.078075 \n",
       "L 284.370607 133.309219 \n",
       "L 288.085125 128.056283 \n",
       "L 291.070247 119.719219 \n",
       "L 293.022023 106.129219 \n",
       "L 293.672466 92.539219 \n",
       "L 293.626855 78.949219 \n",
       "L 292.952388 65.359219 \n",
       "L 291.340548 51.769219 \n",
       "L 288.085125 39.611838 \n",
       "L 287.497512 38.179219 \n",
       "L 274.507125 25.177351 \n",
       "L 273.075771 24.589219 \n",
       "L 260.929125 21.330919 \n",
       "L 247.351125 19.717654 \n",
       "L 233.773125 19.042591 \n",
       "L 220.195125 18.99694 \n",
       "L 206.617125 19.647958 \n",
       "L 193.039125 21.601458 \n",
       "L 184.709422 24.589219 \n",
       "L 179.461125 28.30702 \n",
       "L 173.697363 38.179219 \n",
       "L 171.002796 51.769219 \n",
       "L 170.063683 65.359219 \n",
       "L 169.928387 78.949219 \n",
       "L 170.415305 92.539219 \n",
       "L 171.708759 106.129219 \n",
       "L 174.650753 119.719219 \n",
       "L 179.461125 129.111192 \n",
       "L 183.655445 133.309219 \n",
       "z\n",
       "M 196.548232 119.719219 \n",
       "L 193.039125 116.207011 \n",
       "L 187.093017 106.129219 \n",
       "L 183.486407 92.539219 \n",
       "L 182.467841 78.949219 \n",
       "L 183.573738 65.359219 \n",
       "L 187.60153 51.769219 \n",
       "L 193.039125 43.637435 \n",
       "L 199.881781 38.179219 \n",
       "L 206.617125 34.976102 \n",
       "L 220.195125 32.114623 \n",
       "L 233.773125 31.665021 \n",
       "L 247.351125 33.255614 \n",
       "L 260.929125 37.723634 \n",
       "L 261.710875 38.179219 \n",
       "L 274.507125 50.986778 \n",
       "L 274.962307 51.769219 \n",
       "L 279.426382 65.359219 \n",
       "L 281.015571 78.949219 \n",
       "L 280.566365 92.539219 \n",
       "L 277.707414 106.129219 \n",
       "L 274.507125 112.870516 \n",
       "L 269.053728 119.719219 \n",
       "L 260.929125 125.161619 \n",
       "L 247.351125 129.192971 \n",
       "L 233.773125 130.299845 \n",
       "L 220.195125 129.28038 \n",
       "L 206.617125 125.670582 \n",
       "z\n",
       "\" style=\"fill:#a7ff50;\"/>\n",
       "   </g>\n",
       "   <g id=\"PathCollection_12\">\n",
       "    <path clip-path=\"url(#p2e919e29b2)\" d=\"M 70.837125 261.570582 \n",
       "L 84.415125 265.18038 \n",
       "L 97.993125 266.199845 \n",
       "L 111.571125 265.092971 \n",
       "L 125.149125 261.061619 \n",
       "L 133.273728 255.619219 \n",
       "L 138.727125 248.770516 \n",
       "L 141.927414 242.029219 \n",
       "L 144.786365 228.439219 \n",
       "L 145.235571 214.849219 \n",
       "L 143.646382 201.259219 \n",
       "L 139.182307 187.669219 \n",
       "L 138.727125 186.886778 \n",
       "L 125.930875 174.079219 \n",
       "L 125.149125 173.623634 \n",
       "L 111.571125 169.155614 \n",
       "L 97.993125 167.565021 \n",
       "L 84.415125 168.014623 \n",
       "L 70.837125 170.876102 \n",
       "L 64.101781 174.079219 \n",
       "L 57.259125 179.537435 \n",
       "L 51.82153 187.669219 \n",
       "L 47.793738 201.259219 \n",
       "L 46.687841 214.849219 \n",
       "L 47.706407 228.439219 \n",
       "L 51.313017 242.029219 \n",
       "L 57.259125 252.107011 \n",
       "L 60.768232 255.619219 \n",
       "z\n",
       "M 70.557289 242.029219 \n",
       "L 63.232182 228.439219 \n",
       "L 61.360545 214.849219 \n",
       "L 64.071807 201.259219 \n",
       "L 70.837125 190.748511 \n",
       "L 74.816634 187.669219 \n",
       "L 84.415125 183.441854 \n",
       "L 97.993125 182.229737 \n",
       "L 111.571125 185.196968 \n",
       "L 115.906226 187.669219 \n",
       "L 125.149125 196.920287 \n",
       "L 127.619193 201.259219 \n",
       "L 130.583803 214.849219 \n",
       "L 129.372757 228.439219 \n",
       "L 125.149125 238.046192 \n",
       "L 122.072552 242.029219 \n",
       "L 111.571125 248.800516 \n",
       "L 97.993125 251.514174 \n",
       "L 84.415125 249.640883 \n",
       "L 70.837125 242.309302 \n",
       "z\n",
       "\" style=\"fill:#d1ff26;\"/>\n",
       "    <path clip-path=\"url(#p2e919e29b2)\" d=\"M 206.617125 125.670582 \n",
       "L 220.195125 129.28038 \n",
       "L 233.773125 130.299845 \n",
       "L 247.351125 129.192971 \n",
       "L 260.929125 125.161619 \n",
       "L 269.053728 119.719219 \n",
       "L 274.507125 112.870516 \n",
       "L 277.707414 106.129219 \n",
       "L 280.566365 92.539219 \n",
       "L 281.015571 78.949219 \n",
       "L 279.426382 65.359219 \n",
       "L 274.962307 51.769219 \n",
       "L 274.507125 50.986778 \n",
       "L 261.710875 38.179219 \n",
       "L 260.929125 37.723634 \n",
       "L 247.351125 33.255614 \n",
       "L 233.773125 31.665021 \n",
       "L 220.195125 32.114623 \n",
       "L 206.617125 34.976102 \n",
       "L 199.881781 38.179219 \n",
       "L 193.039125 43.637435 \n",
       "L 187.60153 51.769219 \n",
       "L 183.573738 65.359219 \n",
       "L 182.467841 78.949219 \n",
       "L 183.486407 92.539219 \n",
       "L 187.093017 106.129219 \n",
       "L 193.039125 116.207011 \n",
       "L 196.548232 119.719219 \n",
       "z\n",
       "M 206.337289 106.129219 \n",
       "L 199.012182 92.539219 \n",
       "L 197.140545 78.949219 \n",
       "L 199.851807 65.359219 \n",
       "L 206.617125 54.848511 \n",
       "L 210.596634 51.769219 \n",
       "L 220.195125 47.541854 \n",
       "L 233.773125 46.329737 \n",
       "L 247.351125 49.296968 \n",
       "L 251.686226 51.769219 \n",
       "L 260.929125 61.020287 \n",
       "L 263.399193 65.359219 \n",
       "L 266.363803 78.949219 \n",
       "L 265.152757 92.539219 \n",
       "L 260.929125 102.146192 \n",
       "L 257.852552 106.129219 \n",
       "L 247.351125 112.900516 \n",
       "L 233.773125 115.614174 \n",
       "L 220.195125 113.740883 \n",
       "L 206.617125 106.409302 \n",
       "z\n",
       "\" style=\"fill:#d1ff26;\"/>\n",
       "   </g>\n",
       "   <g id=\"PathCollection_13\">\n",
       "    <path clip-path=\"url(#p2e919e29b2)\" d=\"M 70.837125 242.309302 \n",
       "L 84.415125 249.640883 \n",
       "L 97.993125 251.514174 \n",
       "L 111.571125 248.800516 \n",
       "L 122.072552 242.029219 \n",
       "L 125.149125 238.046192 \n",
       "L 129.372757 228.439219 \n",
       "L 130.583803 214.849219 \n",
       "L 127.619193 201.259219 \n",
       "L 125.149125 196.920287 \n",
       "L 115.906226 187.669219 \n",
       "L 111.571125 185.196968 \n",
       "L 97.993125 182.229737 \n",
       "L 84.415125 183.441854 \n",
       "L 74.816634 187.669219 \n",
       "L 70.837125 190.748511 \n",
       "L 64.071807 201.259219 \n",
       "L 61.360545 214.849219 \n",
       "L 63.232182 228.439219 \n",
       "L 70.557289 242.029219 \n",
       "z\n",
       "M 97.720535 228.439219 \n",
       "L 84.415125 215.122049 \n",
       "L 84.340719 214.849219 \n",
       "L 84.415125 214.686988 \n",
       "L 97.993125 207.268406 \n",
       "L 105.567244 214.849219 \n",
       "L 98.155213 228.439219 \n",
       "L 97.993125 228.513691 \n",
       "z\n",
       "\" style=\"fill:#feed00;\"/>\n",
       "    <path clip-path=\"url(#p2e919e29b2)\" d=\"M 206.617125 106.409302 \n",
       "L 220.195125 113.740883 \n",
       "L 233.773125 115.614174 \n",
       "L 247.351125 112.900516 \n",
       "L 257.852552 106.129219 \n",
       "L 260.929125 102.146192 \n",
       "L 265.152757 92.539219 \n",
       "L 266.363803 78.949219 \n",
       "L 263.399193 65.359219 \n",
       "L 260.929125 61.020287 \n",
       "L 251.686226 51.769219 \n",
       "L 247.351125 49.296968 \n",
       "L 233.773125 46.329737 \n",
       "L 220.195125 47.541854 \n",
       "L 210.596634 51.769219 \n",
       "L 206.617125 54.848511 \n",
       "L 199.851807 65.359219 \n",
       "L 197.140545 78.949219 \n",
       "L 199.012182 92.539219 \n",
       "L 206.337289 106.129219 \n",
       "z\n",
       "M 233.500535 92.539219 \n",
       "L 220.195125 79.222049 \n",
       "L 220.120719 78.949219 \n",
       "L 220.195125 78.786988 \n",
       "L 233.773125 71.368406 \n",
       "L 241.347244 78.949219 \n",
       "L 233.935213 92.539219 \n",
       "L 233.773125 92.613691 \n",
       "z\n",
       "\" style=\"fill:#feed00;\"/>\n",
       "   </g>\n",
       "   <g id=\"PathCollection_14\">\n",
       "    <path clip-path=\"url(#p2e919e29b2)\" d=\"M 97.993125 228.513691 \n",
       "L 98.155213 228.439219 \n",
       "L 105.567244 214.849219 \n",
       "L 97.993125 207.268406 \n",
       "L 84.415125 214.686988 \n",
       "L 84.340719 214.849219 \n",
       "L 84.415125 215.122049 \n",
       "L 97.720535 228.439219 \n",
       "z\n",
       "\" style=\"fill:#ffbd00;\"/>\n",
       "    <path clip-path=\"url(#p2e919e29b2)\" d=\"M 233.773125 92.613691 \n",
       "L 233.935213 92.539219 \n",
       "L 241.347244 78.949219 \n",
       "L 233.773125 71.368406 \n",
       "L 220.195125 78.786988 \n",
       "L 220.120719 78.949219 \n",
       "L 220.195125 79.222049 \n",
       "L 233.500535 92.539219 \n",
       "z\n",
       "\" style=\"fill:#ffbd00;\"/>\n",
       "   </g>\n",
       "   <g id=\"PathCollection_15\"/>\n",
       "   <g id=\"PathCollection_16\"/>\n",
       "   <g id=\"PathCollection_17\"/>\n",
       "   <g id=\"PathCollection_18\"/>\n",
       "   <g id=\"PathCollection_19\"/>\n",
       "   <g id=\"matplotlib.axis_1\">\n",
       "    <g id=\"xtick_1\">\n",
       "     <g id=\"line2d_1\">\n",
       "      <defs>\n",
       "       <path d=\"M 0 0 \n",
       "L 0 3.5 \n",
       "\" id=\"m8f6484539f\" style=\"stroke:#000000;stroke-width:0.8;\"/>\n",
       "      </defs>\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"30.103125\" xlink:href=\"#m8f6484539f\" y=\"282.799219\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_1\">\n",
       "      <!-- 0.0 -->\n",
       "      <defs>\n",
       "       <path d=\"M 31.78125 66.40625 \n",
       "Q 24.171875 66.40625 20.328125 58.90625 \n",
       "Q 16.5 51.421875 16.5 36.375 \n",
       "Q 16.5 21.390625 20.328125 13.890625 \n",
       "Q 24.171875 6.390625 31.78125 6.390625 \n",
       "Q 39.453125 6.390625 43.28125 13.890625 \n",
       "Q 47.125 21.390625 47.125 36.375 \n",
       "Q 47.125 51.421875 43.28125 58.90625 \n",
       "Q 39.453125 66.40625 31.78125 66.40625 \n",
       "z\n",
       "M 31.78125 74.21875 \n",
       "Q 44.046875 74.21875 50.515625 64.515625 \n",
       "Q 56.984375 54.828125 56.984375 36.375 \n",
       "Q 56.984375 17.96875 50.515625 8.265625 \n",
       "Q 44.046875 -1.421875 31.78125 -1.421875 \n",
       "Q 19.53125 -1.421875 13.0625 8.265625 \n",
       "Q 6.59375 17.96875 6.59375 36.375 \n",
       "Q 6.59375 54.828125 13.0625 64.515625 \n",
       "Q 19.53125 74.21875 31.78125 74.21875 \n",
       "z\n",
       "\" id=\"DejaVuSans-30\"/>\n",
       "       <path d=\"M 10.6875 12.40625 \n",
       "L 21 12.40625 \n",
       "L 21 0 \n",
       "L 10.6875 0 \n",
       "z\n",
       "\" id=\"DejaVuSans-2e\"/>\n",
       "      </defs>\n",
       "      <g transform=\"translate(22.151563 297.397656)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#DejaVuSans-30\"/>\n",
       "       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-2e\"/>\n",
       "       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-30\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_2\">\n",
       "     <g id=\"line2d_2\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"84.415125\" xlink:href=\"#m8f6484539f\" y=\"282.799219\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_2\">\n",
       "      <!-- 0.2 -->\n",
       "      <defs>\n",
       "       <path d=\"M 19.1875 8.296875 \n",
       "L 53.609375 8.296875 \n",
       "L 53.609375 0 \n",
       "L 7.328125 0 \n",
       "L 7.328125 8.296875 \n",
       "Q 12.9375 14.109375 22.625 23.890625 \n",
       "Q 32.328125 33.6875 34.8125 36.53125 \n",
       "Q 39.546875 41.84375 41.421875 45.53125 \n",
       "Q 43.3125 49.21875 43.3125 52.78125 \n",
       "Q 43.3125 58.59375 39.234375 62.25 \n",
       "Q 35.15625 65.921875 28.609375 65.921875 \n",
       "Q 23.96875 65.921875 18.8125 64.3125 \n",
       "Q 13.671875 62.703125 7.8125 59.421875 \n",
       "L 7.8125 69.390625 \n",
       "Q 13.765625 71.78125 18.9375 73 \n",
       "Q 24.125 74.21875 28.421875 74.21875 \n",
       "Q 39.75 74.21875 46.484375 68.546875 \n",
       "Q 53.21875 62.890625 53.21875 53.421875 \n",
       "Q 53.21875 48.921875 51.53125 44.890625 \n",
       "Q 49.859375 40.875 45.40625 35.40625 \n",
       "Q 44.1875 33.984375 37.640625 27.21875 \n",
       "Q 31.109375 20.453125 19.1875 8.296875 \n",
       "z\n",
       "\" id=\"DejaVuSans-32\"/>\n",
       "      </defs>\n",
       "      <g transform=\"translate(76.463563 297.397656)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#DejaVuSans-30\"/>\n",
       "       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-2e\"/>\n",
       "       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-32\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_3\">\n",
       "     <g id=\"line2d_3\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"138.727125\" xlink:href=\"#m8f6484539f\" y=\"282.799219\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_3\">\n",
       "      <!-- 0.4 -->\n",
       "      <defs>\n",
       "       <path d=\"M 37.796875 64.3125 \n",
       "L 12.890625 25.390625 \n",
       "L 37.796875 25.390625 \n",
       "z\n",
       "M 35.203125 72.90625 \n",
       "L 47.609375 72.90625 \n",
       "L 47.609375 25.390625 \n",
       "L 58.015625 25.390625 \n",
       "L 58.015625 17.1875 \n",
       "L 47.609375 17.1875 \n",
       "L 47.609375 0 \n",
       "L 37.796875 0 \n",
       "L 37.796875 17.1875 \n",
       "L 4.890625 17.1875 \n",
       "L 4.890625 26.703125 \n",
       "z\n",
       "\" id=\"DejaVuSans-34\"/>\n",
       "      </defs>\n",
       "      <g transform=\"translate(130.775563 297.397656)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#DejaVuSans-30\"/>\n",
       "       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-2e\"/>\n",
       "       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-34\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_4\">\n",
       "     <g id=\"line2d_4\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"193.039125\" xlink:href=\"#m8f6484539f\" y=\"282.799219\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_4\">\n",
       "      <!-- 0.6 -->\n",
       "      <defs>\n",
       "       <path d=\"M 33.015625 40.375 \n",
       "Q 26.375 40.375 22.484375 35.828125 \n",
       "Q 18.609375 31.296875 18.609375 23.390625 \n",
       "Q 18.609375 15.53125 22.484375 10.953125 \n",
       "Q 26.375 6.390625 33.015625 6.390625 \n",
       "Q 39.65625 6.390625 43.53125 10.953125 \n",
       "Q 47.40625 15.53125 47.40625 23.390625 \n",
       "Q 47.40625 31.296875 43.53125 35.828125 \n",
       "Q 39.65625 40.375 33.015625 40.375 \n",
       "z\n",
       "M 52.59375 71.296875 \n",
       "L 52.59375 62.3125 \n",
       "Q 48.875 64.0625 45.09375 64.984375 \n",
       "Q 41.3125 65.921875 37.59375 65.921875 \n",
       "Q 27.828125 65.921875 22.671875 59.328125 \n",
       "Q 17.53125 52.734375 16.796875 39.40625 \n",
       "Q 19.671875 43.65625 24.015625 45.921875 \n",
       "Q 28.375 48.1875 33.59375 48.1875 \n",
       "Q 44.578125 48.1875 50.953125 41.515625 \n",
       "Q 57.328125 34.859375 57.328125 23.390625 \n",
       "Q 57.328125 12.15625 50.6875 5.359375 \n",
       "Q 44.046875 -1.421875 33.015625 -1.421875 \n",
       "Q 20.359375 -1.421875 13.671875 8.265625 \n",
       "Q 6.984375 17.96875 6.984375 36.375 \n",
       "Q 6.984375 53.65625 15.1875 63.9375 \n",
       "Q 23.390625 74.21875 37.203125 74.21875 \n",
       "Q 40.921875 74.21875 44.703125 73.484375 \n",
       "Q 48.484375 72.75 52.59375 71.296875 \n",
       "z\n",
       "\" id=\"DejaVuSans-36\"/>\n",
       "      </defs>\n",
       "      <g transform=\"translate(185.087563 297.397656)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#DejaVuSans-30\"/>\n",
       "       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-2e\"/>\n",
       "       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-36\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_5\">\n",
       "     <g id=\"line2d_5\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"247.351125\" xlink:href=\"#m8f6484539f\" y=\"282.799219\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_5\">\n",
       "      <!-- 0.8 -->\n",
       "      <defs>\n",
       "       <path d=\"M 31.78125 34.625 \n",
       "Q 24.75 34.625 20.71875 30.859375 \n",
       "Q 16.703125 27.09375 16.703125 20.515625 \n",
       "Q 16.703125 13.921875 20.71875 10.15625 \n",
       "Q 24.75 6.390625 31.78125 6.390625 \n",
       "Q 38.8125 6.390625 42.859375 10.171875 \n",
       "Q 46.921875 13.96875 46.921875 20.515625 \n",
       "Q 46.921875 27.09375 42.890625 30.859375 \n",
       "Q 38.875 34.625 31.78125 34.625 \n",
       "z\n",
       "M 21.921875 38.8125 \n",
       "Q 15.578125 40.375 12.03125 44.71875 \n",
       "Q 8.5 49.078125 8.5 55.328125 \n",
       "Q 8.5 64.0625 14.71875 69.140625 \n",
       "Q 20.953125 74.21875 31.78125 74.21875 \n",
       "Q 42.671875 74.21875 48.875 69.140625 \n",
       "Q 55.078125 64.0625 55.078125 55.328125 \n",
       "Q 55.078125 49.078125 51.53125 44.71875 \n",
       "Q 48 40.375 41.703125 38.8125 \n",
       "Q 48.828125 37.15625 52.796875 32.3125 \n",
       "Q 56.78125 27.484375 56.78125 20.515625 \n",
       "Q 56.78125 9.90625 50.3125 4.234375 \n",
       "Q 43.84375 -1.421875 31.78125 -1.421875 \n",
       "Q 19.734375 -1.421875 13.25 4.234375 \n",
       "Q 6.78125 9.90625 6.78125 20.515625 \n",
       "Q 6.78125 27.484375 10.78125 32.3125 \n",
       "Q 14.796875 37.15625 21.921875 38.8125 \n",
       "z\n",
       "M 18.3125 54.390625 \n",
       "Q 18.3125 48.734375 21.84375 45.5625 \n",
       "Q 25.390625 42.390625 31.78125 42.390625 \n",
       "Q 38.140625 42.390625 41.71875 45.5625 \n",
       "Q 45.3125 48.734375 45.3125 54.390625 \n",
       "Q 45.3125 60.0625 41.71875 63.234375 \n",
       "Q 38.140625 66.40625 31.78125 66.40625 \n",
       "Q 25.390625 66.40625 21.84375 63.234375 \n",
       "Q 18.3125 60.0625 18.3125 54.390625 \n",
       "z\n",
       "\" id=\"DejaVuSans-38\"/>\n",
       "      </defs>\n",
       "      <g transform=\"translate(239.399563 297.397656)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#DejaVuSans-30\"/>\n",
       "       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-2e\"/>\n",
       "       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-38\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_6\">\n",
       "     <g id=\"line2d_6\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"301.663125\" xlink:href=\"#m8f6484539f\" y=\"282.799219\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_6\">\n",
       "      <!-- 1.0 -->\n",
       "      <defs>\n",
       "       <path d=\"M 12.40625 8.296875 \n",
       "L 28.515625 8.296875 \n",
       "L 28.515625 63.921875 \n",
       "L 10.984375 60.40625 \n",
       "L 10.984375 69.390625 \n",
       "L 28.421875 72.90625 \n",
       "L 38.28125 72.90625 \n",
       "L 38.28125 8.296875 \n",
       "L 54.390625 8.296875 \n",
       "L 54.390625 0 \n",
       "L 12.40625 0 \n",
       "z\n",
       "\" id=\"DejaVuSans-31\"/>\n",
       "      </defs>\n",
       "      <g transform=\"translate(293.711563 297.397656)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#DejaVuSans-31\"/>\n",
       "       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-2e\"/>\n",
       "       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-30\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"matplotlib.axis_2\">\n",
       "    <g id=\"ytick_1\">\n",
       "     <g id=\"line2d_7\">\n",
       "      <defs>\n",
       "       <path d=\"M 0 0 \n",
       "L -3.5 0 \n",
       "\" id=\"m8e17210385\" style=\"stroke:#000000;stroke-width:0.8;\"/>\n",
       "      </defs>\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"30.103125\" xlink:href=\"#m8e17210385\" y=\"282.799219\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_7\">\n",
       "      <!-- 0.0 -->\n",
       "      <g transform=\"translate(7.2 286.598437)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#DejaVuSans-30\"/>\n",
       "       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-2e\"/>\n",
       "       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-30\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_2\">\n",
       "     <g id=\"line2d_8\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"30.103125\" xlink:href=\"#m8e17210385\" y=\"228.439219\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_8\">\n",
       "      <!-- 0.2 -->\n",
       "      <g transform=\"translate(7.2 232.238437)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#DejaVuSans-30\"/>\n",
       "       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-2e\"/>\n",
       "       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-32\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_3\">\n",
       "     <g id=\"line2d_9\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"30.103125\" xlink:href=\"#m8e17210385\" y=\"174.079219\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_9\">\n",
       "      <!-- 0.4 -->\n",
       "      <g transform=\"translate(7.2 177.878437)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#DejaVuSans-30\"/>\n",
       "       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-2e\"/>\n",
       "       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-34\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_4\">\n",
       "     <g id=\"line2d_10\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"30.103125\" xlink:href=\"#m8e17210385\" y=\"119.719219\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_10\">\n",
       "      <!-- 0.6 -->\n",
       "      <g transform=\"translate(7.2 123.518437)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#DejaVuSans-30\"/>\n",
       "       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-2e\"/>\n",
       "       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-36\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_5\">\n",
       "     <g id=\"line2d_11\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"30.103125\" xlink:href=\"#m8e17210385\" y=\"65.359219\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_11\">\n",
       "      <!-- 0.8 -->\n",
       "      <g transform=\"translate(7.2 69.158437)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#DejaVuSans-30\"/>\n",
       "       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-2e\"/>\n",
       "       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-38\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_6\">\n",
       "     <g id=\"line2d_12\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"30.103125\" xlink:href=\"#m8e17210385\" y=\"10.999219\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_12\">\n",
       "      <!-- 1.0 -->\n",
       "      <g transform=\"translate(7.2 14.798437)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#DejaVuSans-31\"/>\n",
       "       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-2e\"/>\n",
       "       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-30\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"patch_3\">\n",
       "    <path d=\"M 30.103125 282.799219 \n",
       "L 30.103125 10.999219 \n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_4\">\n",
       "    <path d=\"M 301.663125 282.799219 \n",
       "L 301.663125 10.999219 \n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_5\">\n",
       "    <path d=\"M 30.103125 282.799219 \n",
       "L 301.663125 282.799219 \n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_6\">\n",
       "    <path d=\"M 30.103125 10.999219 \n",
       "L 301.663125 10.999219 \n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\n",
       "   </g>\n",
       "  </g>\n",
       "  <g id=\"axes_2\">\n",
       "   <g id=\"patch_7\">\n",
       "    <path clip-path=\"url(#p76d5c0b8b1)\" d=\"M 318.635625 282.799219 \n",
       "L 318.635625 268.493956 \n",
       "L 318.635625 25.304482 \n",
       "L 318.635625 10.999219 \n",
       "L 332.225625 10.999219 \n",
       "L 332.225625 25.304482 \n",
       "L 332.225625 268.493956 \n",
       "L 332.225625 282.799219 \n",
       "z\n",
       "\" style=\"fill:#ffffff;stroke:#ffffff;stroke-linejoin:miter;stroke-width:0.01;\"/>\n",
       "   </g>\n",
       "   <g id=\"QuadMesh_1\">\n",
       "    <path clip-path=\"url(#p76d5c0b8b1)\" d=\"M 318.635625 282.799219 \n",
       "L 332.225625 282.799219 \n",
       "L 332.225625 268.493956 \n",
       "L 318.635625 268.493956 \n",
       "L 318.635625 282.799219 \n",
       "\" style=\"fill:#00009b;\"/>\n",
       "    <path clip-path=\"url(#p76d5c0b8b1)\" d=\"M 318.635625 268.493956 \n",
       "L 332.225625 268.493956 \n",
       "L 332.225625 254.188692 \n",
       "L 318.635625 254.188692 \n",
       "L 318.635625 268.493956 \n",
       "\" style=\"fill:#0000da;\"/>\n",
       "    <path clip-path=\"url(#p76d5c0b8b1)\" d=\"M 318.635625 254.188692 \n",
       "L 332.225625 254.188692 \n",
       "L 332.225625 239.883429 \n",
       "L 318.635625 239.883429 \n",
       "L 318.635625 254.188692 \n",
       "\" style=\"fill:#0004ff;\"/>\n",
       "    <path clip-path=\"url(#p76d5c0b8b1)\" d=\"M 318.635625 239.883429 \n",
       "L 332.225625 239.883429 \n",
       "L 332.225625 225.578166 \n",
       "L 318.635625 225.578166 \n",
       "L 318.635625 239.883429 \n",
       "\" style=\"fill:#003cff;\"/>\n",
       "    <path clip-path=\"url(#p76d5c0b8b1)\" d=\"M 318.635625 225.578166 \n",
       "L 332.225625 225.578166 \n",
       "L 332.225625 211.272903 \n",
       "L 318.635625 211.272903 \n",
       "L 318.635625 225.578166 \n",
       "\" style=\"fill:#0070ff;\"/>\n",
       "    <path clip-path=\"url(#p76d5c0b8b1)\" d=\"M 318.635625 211.272903 \n",
       "L 332.225625 211.272903 \n",
       "L 332.225625 196.96764 \n",
       "L 318.635625 196.96764 \n",
       "L 318.635625 211.272903 \n",
       "\" style=\"fill:#00a8ff;\"/>\n",
       "    <path clip-path=\"url(#p76d5c0b8b1)\" d=\"M 318.635625 196.96764 \n",
       "L 332.225625 196.96764 \n",
       "L 332.225625 182.662377 \n",
       "L 318.635625 182.662377 \n",
       "L 318.635625 196.96764 \n",
       "\" style=\"fill:#00dcfe;\"/>\n",
       "    <path clip-path=\"url(#p76d5c0b8b1)\" d=\"M 318.635625 182.662377 \n",
       "L 332.225625 182.662377 \n",
       "L 332.225625 168.357113 \n",
       "L 318.635625 168.357113 \n",
       "L 318.635625 182.662377 \n",
       "\" style=\"fill:#26ffd1;\"/>\n",
       "    <path clip-path=\"url(#p76d5c0b8b1)\" d=\"M 318.635625 168.357113 \n",
       "L 332.225625 168.357113 \n",
       "L 332.225625 154.05185 \n",
       "L 318.635625 154.05185 \n",
       "L 318.635625 168.357113 \n",
       "\" style=\"fill:#50ffa7;\"/>\n",
       "    <path clip-path=\"url(#p76d5c0b8b1)\" d=\"M 318.635625 154.05185 \n",
       "L 332.225625 154.05185 \n",
       "L 332.225625 139.746587 \n",
       "L 318.635625 139.746587 \n",
       "L 318.635625 154.05185 \n",
       "\" style=\"fill:#7dff7a;\"/>\n",
       "    <path clip-path=\"url(#p76d5c0b8b1)\" d=\"M 318.635625 139.746587 \n",
       "L 332.225625 139.746587 \n",
       "L 332.225625 125.441324 \n",
       "L 318.635625 125.441324 \n",
       "L 318.635625 139.746587 \n",
       "\" style=\"fill:#a7ff50;\"/>\n",
       "    <path clip-path=\"url(#p76d5c0b8b1)\" d=\"M 318.635625 125.441324 \n",
       "L 332.225625 125.441324 \n",
       "L 332.225625 111.136061 \n",
       "L 318.635625 111.136061 \n",
       "L 318.635625 125.441324 \n",
       "\" style=\"fill:#d1ff26;\"/>\n",
       "    <path clip-path=\"url(#p76d5c0b8b1)\" d=\"M 318.635625 111.136061 \n",
       "L 332.225625 111.136061 \n",
       "L 332.225625 96.830798 \n",
       "L 318.635625 96.830798 \n",
       "L 318.635625 111.136061 \n",
       "\" style=\"fill:#feed00;\"/>\n",
       "    <path clip-path=\"url(#p76d5c0b8b1)\" d=\"M 318.635625 96.830798 \n",
       "L 332.225625 96.830798 \n",
       "L 332.225625 82.525535 \n",
       "L 318.635625 82.525535 \n",
       "L 318.635625 96.830798 \n",
       "\" style=\"fill:#ffbd00;\"/>\n",
       "    <path clip-path=\"url(#p76d5c0b8b1)\" d=\"M 318.635625 82.525535 \n",
       "L 332.225625 82.525535 \n",
       "L 332.225625 68.220271 \n",
       "L 318.635625 68.220271 \n",
       "L 318.635625 82.525535 \n",
       "\" style=\"fill:#ff8900;\"/>\n",
       "    <path clip-path=\"url(#p76d5c0b8b1)\" d=\"M 318.635625 68.220271 \n",
       "L 332.225625 68.220271 \n",
       "L 332.225625 53.915008 \n",
       "L 318.635625 53.915008 \n",
       "L 318.635625 68.220271 \n",
       "\" style=\"fill:#ff5900;\"/>\n",
       "    <path clip-path=\"url(#p76d5c0b8b1)\" d=\"M 318.635625 53.915008 \n",
       "L 332.225625 53.915008 \n",
       "L 332.225625 39.609745 \n",
       "L 318.635625 39.609745 \n",
       "L 318.635625 53.915008 \n",
       "\" style=\"fill:#ff2500;\"/>\n",
       "    <path clip-path=\"url(#p76d5c0b8b1)\" d=\"M 318.635625 39.609745 \n",
       "L 332.225625 39.609745 \n",
       "L 332.225625 25.304482 \n",
       "L 318.635625 25.304482 \n",
       "L 318.635625 39.609745 \n",
       "\" style=\"fill:#da0000;\"/>\n",
       "    <path clip-path=\"url(#p76d5c0b8b1)\" d=\"M 318.635625 25.304482 \n",
       "L 332.225625 25.304482 \n",
       "L 332.225625 10.999219 \n",
       "L 318.635625 10.999219 \n",
       "L 318.635625 25.304482 \n",
       "\" style=\"fill:#9b0000;\"/>\n",
       "   </g>\n",
       "   <g id=\"matplotlib.axis_3\"/>\n",
       "   <g id=\"matplotlib.axis_4\">\n",
       "    <g id=\"ytick_7\">\n",
       "     <g id=\"line2d_13\">\n",
       "      <defs>\n",
       "       <path d=\"M 0 0 \n",
       "L 3.5 0 \n",
       "\" id=\"m5e1c96e250\" style=\"stroke:#000000;stroke-width:0.8;\"/>\n",
       "      </defs>\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"332.225625\" xlink:href=\"#m5e1c96e250\" y=\"282.799219\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_13\">\n",
       "      <!-- −1.0 -->\n",
       "      <defs>\n",
       "       <path d=\"M 10.59375 35.5 \n",
       "L 73.1875 35.5 \n",
       "L 73.1875 27.203125 \n",
       "L 10.59375 27.203125 \n",
       "z\n",
       "\" id=\"DejaVuSans-2212\"/>\n",
       "      </defs>\n",
       "      <g transform=\"translate(339.225625 286.598437)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#DejaVuSans-2212\"/>\n",
       "       <use x=\"83.789062\" xlink:href=\"#DejaVuSans-31\"/>\n",
       "       <use x=\"147.412109\" xlink:href=\"#DejaVuSans-2e\"/>\n",
       "       <use x=\"179.199219\" xlink:href=\"#DejaVuSans-30\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_8\">\n",
       "     <g id=\"line2d_14\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"332.225625\" xlink:href=\"#m5e1c96e250\" y=\"214.849219\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_14\">\n",
       "      <!-- −0.5 -->\n",
       "      <defs>\n",
       "       <path d=\"M 10.796875 72.90625 \n",
       "L 49.515625 72.90625 \n",
       "L 49.515625 64.59375 \n",
       "L 19.828125 64.59375 \n",
       "L 19.828125 46.734375 \n",
       "Q 21.96875 47.46875 24.109375 47.828125 \n",
       "Q 26.265625 48.1875 28.421875 48.1875 \n",
       "Q 40.625 48.1875 47.75 41.5 \n",
       "Q 54.890625 34.8125 54.890625 23.390625 \n",
       "Q 54.890625 11.625 47.5625 5.09375 \n",
       "Q 40.234375 -1.421875 26.90625 -1.421875 \n",
       "Q 22.3125 -1.421875 17.546875 -0.640625 \n",
       "Q 12.796875 0.140625 7.71875 1.703125 \n",
       "L 7.71875 11.625 \n",
       "Q 12.109375 9.234375 16.796875 8.0625 \n",
       "Q 21.484375 6.890625 26.703125 6.890625 \n",
       "Q 35.15625 6.890625 40.078125 11.328125 \n",
       "Q 45.015625 15.765625 45.015625 23.390625 \n",
       "Q 45.015625 31 40.078125 35.4375 \n",
       "Q 35.15625 39.890625 26.703125 39.890625 \n",
       "Q 22.75 39.890625 18.8125 39.015625 \n",
       "Q 14.890625 38.140625 10.796875 36.28125 \n",
       "z\n",
       "\" id=\"DejaVuSans-35\"/>\n",
       "      </defs>\n",
       "      <g transform=\"translate(339.225625 218.648437)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#DejaVuSans-2212\"/>\n",
       "       <use x=\"83.789062\" xlink:href=\"#DejaVuSans-30\"/>\n",
       "       <use x=\"147.412109\" xlink:href=\"#DejaVuSans-2e\"/>\n",
       "       <use x=\"179.199219\" xlink:href=\"#DejaVuSans-35\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_9\">\n",
       "     <g id=\"line2d_15\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"332.225625\" xlink:href=\"#m5e1c96e250\" y=\"146.899219\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_15\">\n",
       "      <!-- 0.0 -->\n",
       "      <g transform=\"translate(339.225625 150.698437)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#DejaVuSans-30\"/>\n",
       "       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-2e\"/>\n",
       "       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-30\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_10\">\n",
       "     <g id=\"line2d_16\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"332.225625\" xlink:href=\"#m5e1c96e250\" y=\"78.949219\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_16\">\n",
       "      <!-- 0.5 -->\n",
       "      <g transform=\"translate(339.225625 82.748437)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#DejaVuSans-30\"/>\n",
       "       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-2e\"/>\n",
       "       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-35\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_11\">\n",
       "     <g id=\"line2d_17\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"332.225625\" xlink:href=\"#m5e1c96e250\" y=\"10.999219\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_17\">\n",
       "      <!-- 1.0 -->\n",
       "      <g transform=\"translate(339.225625 14.798437)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#DejaVuSans-31\"/>\n",
       "       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-2e\"/>\n",
       "       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-30\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"patch_8\">\n",
       "    <path d=\"M 318.635625 282.799219 \n",
       "L 318.635625 268.493956 \n",
       "L 318.635625 25.304482 \n",
       "L 318.635625 10.999219 \n",
       "L 332.225625 10.999219 \n",
       "L 332.225625 25.304482 \n",
       "L 332.225625 268.493956 \n",
       "L 332.225625 282.799219 \n",
       "z\n",
       "\" style=\"fill:none;stroke:#000000;stroke-linejoin:miter;stroke-width:0.8;\"/>\n",
       "   </g>\n",
       "  </g>\n",
       " </g>\n",
       " <defs>\n",
       "  <clipPath id=\"p2e919e29b2\">\n",
       "   <rect height=\"271.8\" width=\"271.56\" x=\"30.103125\" y=\"10.999219\"/>\n",
       "  </clipPath>\n",
       "  <clipPath id=\"p76d5c0b8b1\">\n",
       "   <rect height=\"271.8\" width=\"13.59\" x=\"318.635625\" y=\"10.999219\"/>\n",
       "  </clipPath>\n",
       " </defs>\n",
       "</svg>\n"
      ],
      "text/plain": [
       "<Figure size 438x360 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = plt.figure(figsize=(6.1,5),facecolor='w')\n",
    "ims = []\n",
    "levs = np.linspace(-1,1,20)\n",
    "i = 0\n",
    "t = 0.0\n",
    "for solution in sol:    \n",
    "    if (i%10==0):        \n",
    "        im = plt.contourf(xx,yy,solution[1:-1,1:-1],cmap=cm.jet,levels=levs,vmax=1.0,vmin=-1.0)\n",
    "        ims.append(im.collections)\n",
    "    i+=1\n",
    "    t += dt\n",
    "    \n",
    "cbar = plt.colorbar()\n",
    "plt.clim(-1,1)\n",
    "cbar.set_ticks(np.linspace(-1,1,5))\n",
    "\n",
    "ani = animation.ArtistAnimation(fig, ims, interval=35, blit=True,repeat_delay=1000)\n",
    "\n",
    "ani"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "CSS style adapted from https://github.com/barbagroup/CFDPython. Copyright (c) Barba group\n",
       "<link href='http://fonts.googleapis.com/css?family=Merriweather' rel='stylesheet' type='text/css'>\n",
       "<link href='http://fonts.googleapis.com/css?family=Bitter' rel='stylesheet' type='text/css'>\n",
       "<link href='http://fonts.googleapis.com/css?family=Oxygen' rel='stylesheet' type='text/css'>\n",
       "<link href='http://fonts.googleapis.com/css?family=Lora' rel='stylesheet' type='text/css'>\n",
       "<link href='http://fonts.googleapis.com/css?family=Fenix' rel='stylesheet' type='text/css'>\n",
       "<link href='http://fonts.googleapis.com/css?family=Alegreya+Sans:100,300,400,500,700,800,900,100italic,300italic,400italic,500italic,700italic,800italic,900italic' rel='stylesheet' type='text/css'>\n",
       "<link href='http://fonts.googleapis.com/css?family=Source+Code+Pro:300,400' rel='stylesheet' type='text/css'>\n",
       "\n",
       "<style>\n",
       "    @font-face {\n",
       "        font-family: \"Computer Modern\";\n",
       "        src: url('http://mirrors.ctan.org/fonts/cm-unicode/fonts/otf/cmunss.otf');\n",
       "    }\n",
       "\n",
       "    /*div.cell{\n",
       "        width:800px;\n",
       "        margin-left:16% !important;\n",
       "        margin-right:auto;\n",
       "    } */\n",
       "\n",
       "    /* set the font size in tables */\n",
       "    tr, td, th{\n",
       "        font-size:110%;\n",
       "    }\n",
       "\n",
       "    /* spec for headers */\n",
       "    h1 {\n",
       "        font-family: 'Bitter', serif;\n",
       "    }\n",
       "\n",
       "    h2 {\n",
       "        font-family: 'Fenix', serif;\n",
       "    }\n",
       "    \n",
       "    h3{\n",
       "        font-family: 'Fenix', serif;\n",
       "        margin-top:12px;\n",
       "        margin-bottom: 3px;\n",
       "    }\n",
       "\n",
       "    h4{\n",
       "        font-family: 'Fenix', serif;\n",
       "    }\n",
       "\n",
       "    h5 {\n",
       "        font-family: 'Alegreya Sans', sans-serif;\n",
       "    }\n",
       "\n",
       "    div.text_cell_render{\n",
       "        font-family: 'Merriweather','Alegreya Sans','Lora', 'Oxygen', \"Helvetica Neue\", Arial, Helvetica, Geneva, sans-serif;\n",
       "        line-height: 160%;\n",
       "        font-size: 130%;\n",
       "    }\n",
       "\n",
       "    .CodeMirror{\n",
       "        font-family: \"Source Code Pro\";\n",
       "        font-size: 100%;\n",
       "    }\n",
       "\n",
       "    .text_cell_render h1 {\n",
       "        font-weight: 200;\n",
       "        font-size: 32pt;\n",
       "        line-height: 120%;\n",
       "        color:#CD2305;\n",
       "        margin-bottom: 0.5em;\n",
       "        margin-top: 0.5em;\n",
       "        display: block;\n",
       "    }\n",
       "\n",
       "    .text_cell_render h2 {\n",
       "        font-size: 26pt;\n",
       "        text-align: center;\n",
       "    }\n",
       "\n",
       "    .text_cell_render h3 {\n",
       "        font-size: 20pt;\n",
       "    }\n",
       "\n",
       "    .text_cell_render h4 {\n",
       "        font-size: 18pt;\n",
       "    }\n",
       "\n",
       "    .text_cell_render h5 {\n",
       "        font-weight: 300;\n",
       "        font-size: 16pt;\n",
       "        color: #CD2305;\n",
       "        font-style: italic;\n",
       "        margin-bottom: .5em;\n",
       "        margin-top: 0.5em;\n",
       "        display: block;\n",
       "    }\n",
       "    \n",
       "    .warning{\n",
       "        color: rgb( 240, 20, 20 )\n",
       "    }  \n",
       "\n",
       "/*  div#notebook {background-color: #1e1e1e; border-top: none;}\n",
       "    div#notebook-container {background-color: rgb(180, 180, 180);}\n",
       " */\n",
       "\n",
       "</style>\n",
       "\n",
       "<script>\n",
       "    MathJax.Hub.Config({\n",
       "                TeX: {\n",
       "                    extensions: [\"AMSmath.js\"]\n",
       "                },\n",
       "                tex2jax: {\n",
       "                    inlineMath: [ ['$','$'], [\"\\\\(\",\"\\\\)\"] ],\n",
       "                    displayMath: [ ['$$','$$'], [\"\\\\[\",\"\\\\]\"] ]\n",
       "                },\n",
       "                displayAlign: 'center', // Change this to 'center' to center equations.\n",
       "                \"HTML-CSS\": {\n",
       "                    availableFonts: [\"TeX\"],\n",
       "                    scale: 100,\n",
       "                    styles: {'.MathJax_Display': {\"margin\": 4}}\n",
       "                }\n",
       "        });\n",
       "</script>\n"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "execution_count": 10,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "import urllib\n",
    "import requests\n",
    "from IPython.core.display import HTML\n",
    "def css_styling():\n",
    "    styles = requests.get(\"https://raw.githubusercontent.com/saadtony/NumericalMethods/master/styles/custom.css\")\n",
    "    return HTML(styles.text)\n",
    "css_styling()\n"
   ]
  }
 ],
 "metadata": {
  "anaconda-cloud": {},
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "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"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}