CH_EN_6355_Utah_CFD_Saad/1D Linear Advection Equation - FDM.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# 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": "markdown",
   "metadata": {},
   "source": [
    "We will be solving the linear advection equation\n",
    "\\begin{equation}\n",
    "\\frac{\\partial u}{\\partial t} = - c \\frac{\\partial u}{\\partial x}\n",
    "\\end{equation}\n",
    "subject to the initial condition $u(x,0)\\equiv u_0(x)$ on the domain $[0,L]$. The exact solution for this equation is given by\n",
    "\\begin{equation}\n",
    "u(x,t) = u_0(x-ct)\n",
    "\\end{equation}\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 62,
   "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' # this is used to display animations in jupyter notebooks"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Let's start by defining an initial condition - let's take\n",
    "\\begin{equation}\n",
    "    u_0(x) = \\sin(\\omega x)\n",
    "\\end{equation}"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 63,
   "metadata": {},
   "outputs": [
    {
     "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=\"252.018125pt\" version=\"1.1\" viewBox=\"0 0 390.345312 252.018125\" width=\"390.345312pt\" 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 0 252.018125 \n",
       "L 390.345312 252.018125 \n",
       "L 390.345312 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 44.845313 228.14 \n",
       "L 379.645313 228.14 \n",
       "L 379.645313 10.7 \n",
       "L 44.845313 10.7 \n",
       "z\n",
       "\" style=\"fill:#ffffff;\"/>\n",
       "   </g>\n",
       "   <g id=\"matplotlib.axis_1\">\n",
       "    <g id=\"xtick_1\">\n",
       "     <g id=\"line2d_1\">\n",
       "      <path clip-path=\"url(#p364ca153ff)\" d=\"M 60.063494 228.14 \n",
       "L 60.063494 10.7 \n",
       "\" style=\"fill:none;stroke:#b0b0b0;stroke-linecap:square;stroke-width:0.8;\"/>\n",
       "     </g>\n",
       "     <g id=\"line2d_2\">\n",
       "      <defs>\n",
       "       <path d=\"M 0 0 \n",
       "L 0 3.5 \n",
       "\" id=\"mc67e743f7f\" style=\"stroke:#000000;stroke-width:0.8;\"/>\n",
       "      </defs>\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"60.063494\" xlink:href=\"#mc67e743f7f\" y=\"228.14\"/>\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(52.111932 242.738437)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_3\">\n",
       "      <path clip-path=\"url(#p364ca153ff)\" d=\"M 120.936222 228.14 \n",
       "L 120.936222 10.7 \n",
       "\" style=\"fill:none;stroke:#b0b0b0;stroke-linecap:square;stroke-width:0.8;\"/>\n",
       "     </g>\n",
       "     <g id=\"line2d_4\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"120.936222\" xlink:href=\"#mc67e743f7f\" y=\"228.14\"/>\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(112.984659 242.738437)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_5\">\n",
       "      <path clip-path=\"url(#p364ca153ff)\" d=\"M 181.808949 228.14 \n",
       "L 181.808949 10.7 \n",
       "\" style=\"fill:none;stroke:#b0b0b0;stroke-linecap:square;stroke-width:0.8;\"/>\n",
       "     </g>\n",
       "     <g id=\"line2d_6\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"181.808949\" xlink:href=\"#mc67e743f7f\" y=\"228.14\"/>\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(173.857386 242.738437)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_7\">\n",
       "      <path clip-path=\"url(#p364ca153ff)\" d=\"M 242.681676 228.14 \n",
       "L 242.681676 10.7 \n",
       "\" style=\"fill:none;stroke:#b0b0b0;stroke-linecap:square;stroke-width:0.8;\"/>\n",
       "     </g>\n",
       "     <g id=\"line2d_8\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"242.681676\" xlink:href=\"#mc67e743f7f\" y=\"228.14\"/>\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(234.730114 242.738437)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_9\">\n",
       "      <path clip-path=\"url(#p364ca153ff)\" d=\"M 303.554403 228.14 \n",
       "L 303.554403 10.7 \n",
       "\" style=\"fill:none;stroke:#b0b0b0;stroke-linecap:square;stroke-width:0.8;\"/>\n",
       "     </g>\n",
       "     <g id=\"line2d_10\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"303.554403\" xlink:href=\"#mc67e743f7f\" y=\"228.14\"/>\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(295.602841 242.738437)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_11\">\n",
       "      <path clip-path=\"url(#p364ca153ff)\" d=\"M 364.427131 228.14 \n",
       "L 364.427131 10.7 \n",
       "\" style=\"fill:none;stroke:#b0b0b0;stroke-linecap:square;stroke-width:0.8;\"/>\n",
       "     </g>\n",
       "     <g id=\"line2d_12\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"364.427131\" xlink:href=\"#mc67e743f7f\" y=\"228.14\"/>\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(356.475568 242.738437)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_13\">\n",
       "      <path clip-path=\"url(#p364ca153ff)\" d=\"M 44.845313 218.256364 \n",
       "L 379.645313 218.256364 \n",
       "\" style=\"fill:none;stroke:#b0b0b0;stroke-linecap:square;stroke-width:0.8;\"/>\n",
       "     </g>\n",
       "     <g id=\"line2d_14\">\n",
       "      <defs>\n",
       "       <path d=\"M 0 0 \n",
       "L -3.5 0 \n",
       "\" id=\"m54c22fae8d\" style=\"stroke:#000000;stroke-width:0.8;\"/>\n",
       "      </defs>\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"44.845313\" xlink:href=\"#m54c22fae8d\" y=\"218.256364\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_7\">\n",
       "      <!-- −1.00 -->\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(7.2 222.055582)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",
       "       <use x=\"242.822266\" xlink:href=\"#DejaVuSans-30\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_2\">\n",
       "     <g id=\"line2d_15\">\n",
       "      <path clip-path=\"url(#p364ca153ff)\" d=\"M 44.845313 193.547273 \n",
       "L 379.645313 193.547273 \n",
       "\" style=\"fill:none;stroke:#b0b0b0;stroke-linecap:square;stroke-width:0.8;\"/>\n",
       "     </g>\n",
       "     <g id=\"line2d_16\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"44.845313\" xlink:href=\"#m54c22fae8d\" y=\"193.547273\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_8\">\n",
       "      <!-- −0.75 -->\n",
       "      <defs>\n",
       "       <path d=\"M 8.203125 72.90625 \n",
       "L 55.078125 72.90625 \n",
       "L 55.078125 68.703125 \n",
       "L 28.609375 0 \n",
       "L 18.3125 0 \n",
       "L 43.21875 64.59375 \n",
       "L 8.203125 64.59375 \n",
       "z\n",
       "\" id=\"DejaVuSans-37\"/>\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(7.2 197.346491)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-37\"/>\n",
       "       <use x=\"242.822266\" xlink:href=\"#DejaVuSans-35\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_3\">\n",
       "     <g id=\"line2d_17\">\n",
       "      <path clip-path=\"url(#p364ca153ff)\" d=\"M 44.845313 168.838182 \n",
       "L 379.645313 168.838182 \n",
       "\" style=\"fill:none;stroke:#b0b0b0;stroke-linecap:square;stroke-width:0.8;\"/>\n",
       "     </g>\n",
       "     <g id=\"line2d_18\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"44.845313\" xlink:href=\"#m54c22fae8d\" y=\"168.838182\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_9\">\n",
       "      <!-- −0.50 -->\n",
       "      <g transform=\"translate(7.2 172.637401)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",
       "       <use x=\"242.822266\" xlink:href=\"#DejaVuSans-30\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_4\">\n",
       "     <g id=\"line2d_19\">\n",
       "      <path clip-path=\"url(#p364ca153ff)\" d=\"M 44.845313 144.129091 \n",
       "L 379.645313 144.129091 \n",
       "\" style=\"fill:none;stroke:#b0b0b0;stroke-linecap:square;stroke-width:0.8;\"/>\n",
       "     </g>\n",
       "     <g id=\"line2d_20\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"44.845313\" xlink:href=\"#m54c22fae8d\" y=\"144.129091\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_10\">\n",
       "      <!-- −0.25 -->\n",
       "      <g transform=\"translate(7.2 147.92831)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-32\"/>\n",
       "       <use x=\"242.822266\" xlink:href=\"#DejaVuSans-35\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_5\">\n",
       "     <g id=\"line2d_21\">\n",
       "      <path clip-path=\"url(#p364ca153ff)\" d=\"M 44.845313 119.42 \n",
       "L 379.645313 119.42 \n",
       "\" style=\"fill:none;stroke:#b0b0b0;stroke-linecap:square;stroke-width:0.8;\"/>\n",
       "     </g>\n",
       "     <g id=\"line2d_22\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"44.845313\" xlink:href=\"#m54c22fae8d\" y=\"119.42\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_11\">\n",
       "      <!-- 0.00 -->\n",
       "      <g transform=\"translate(15.579688 123.219219)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",
       "       <use x=\"159.033203\" xlink:href=\"#DejaVuSans-30\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_6\">\n",
       "     <g id=\"line2d_23\">\n",
       "      <path clip-path=\"url(#p364ca153ff)\" d=\"M 44.845313 94.710909 \n",
       "L 379.645313 94.710909 \n",
       "\" style=\"fill:none;stroke:#b0b0b0;stroke-linecap:square;stroke-width:0.8;\"/>\n",
       "     </g>\n",
       "     <g id=\"line2d_24\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"44.845313\" xlink:href=\"#m54c22fae8d\" y=\"94.710909\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_12\">\n",
       "      <!-- 0.25 -->\n",
       "      <g transform=\"translate(15.579688 98.510128)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",
       "       <use x=\"159.033203\" xlink:href=\"#DejaVuSans-35\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_7\">\n",
       "     <g id=\"line2d_25\">\n",
       "      <path clip-path=\"url(#p364ca153ff)\" d=\"M 44.845313 70.001818 \n",
       "L 379.645313 70.001818 \n",
       "\" style=\"fill:none;stroke:#b0b0b0;stroke-linecap:square;stroke-width:0.8;\"/>\n",
       "     </g>\n",
       "     <g id=\"line2d_26\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"44.845313\" xlink:href=\"#m54c22fae8d\" y=\"70.001818\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_13\">\n",
       "      <!-- 0.50 -->\n",
       "      <g transform=\"translate(15.579688 73.801037)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",
       "       <use x=\"159.033203\" xlink:href=\"#DejaVuSans-30\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_8\">\n",
       "     <g id=\"line2d_27\">\n",
       "      <path clip-path=\"url(#p364ca153ff)\" d=\"M 44.845313 45.292727 \n",
       "L 379.645313 45.292727 \n",
       "\" style=\"fill:none;stroke:#b0b0b0;stroke-linecap:square;stroke-width:0.8;\"/>\n",
       "     </g>\n",
       "     <g id=\"line2d_28\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"44.845313\" xlink:href=\"#m54c22fae8d\" y=\"45.292727\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_14\">\n",
       "      <!-- 0.75 -->\n",
       "      <g transform=\"translate(15.579688 49.091946)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-37\"/>\n",
       "       <use x=\"159.033203\" xlink:href=\"#DejaVuSans-35\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_9\">\n",
       "     <g id=\"line2d_29\">\n",
       "      <path clip-path=\"url(#p364ca153ff)\" d=\"M 44.845313 20.583636 \n",
       "L 379.645313 20.583636 \n",
       "\" style=\"fill:none;stroke:#b0b0b0;stroke-linecap:square;stroke-width:0.8;\"/>\n",
       "     </g>\n",
       "     <g id=\"line2d_30\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"44.845313\" xlink:href=\"#m54c22fae8d\" y=\"20.583636\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_15\">\n",
       "      <!-- 1.00 -->\n",
       "      <g transform=\"translate(15.579688 24.382855)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",
       "       <use x=\"159.033203\" xlink:href=\"#DejaVuSans-30\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"line2d_31\">\n",
       "    <defs>\n",
       "     <path d=\"M 0 3 \n",
       "C 0.795609 3 1.55874 2.683901 2.12132 2.12132 \n",
       "C 2.683901 1.55874 3 0.795609 3 0 \n",
       "C 3 -0.795609 2.683901 -1.55874 2.12132 -2.12132 \n",
       "C 1.55874 -2.683901 0.795609 -3 0 -3 \n",
       "C -0.795609 -3 -1.55874 -2.683901 -2.12132 -2.12132 \n",
       "C -2.683901 -1.55874 -3 -0.795609 -3 0 \n",
       "C -3 0.795609 -2.683901 1.55874 -2.12132 2.12132 \n",
       "C -1.55874 2.683901 -0.795609 3 0 3 \n",
       "z\n",
       "\" id=\"m8810b498fc\" style=\"stroke:#1f77b4;\"/>\n",
       "    </defs>\n",
       "    <g clip-path=\"url(#p364ca153ff)\">\n",
       "     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"60.063494\" xlink:href=\"#m8810b498fc\" y=\"119.42\"/>\n",
       "     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"67.672585\" xlink:href=\"#m8810b498fc\" y=\"103.958586\"/>\n",
       "     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"75.281676\" xlink:href=\"#m8810b498fc\" y=\"88.877884\"/>\n",
       "     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"82.890767\" xlink:href=\"#m8810b498fc\" y=\"74.54923\"/>\n",
       "     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"90.499858\" xlink:href=\"#m8810b498fc\" y=\"61.325443\"/>\n",
       "     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"98.108949\" xlink:href=\"#m8810b498fc\" y=\"49.532137\"/>\n",
       "     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"105.71804\" xlink:href=\"#m8810b498fc\" y=\"39.459702\"/>\n",
       "     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"113.327131\" xlink:href=\"#m8810b498fc\" y=\"31.356155\"/>\n",
       "     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"120.936222\" xlink:href=\"#m8810b498fc\" y=\"25.421032\"/>\n",
       "     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"128.545313\" xlink:href=\"#m8810b498fc\" y=\"21.800476\"/>\n",
       "     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"136.154403\" xlink:href=\"#m8810b498fc\" y=\"20.583636\"/>\n",
       "     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"143.763494\" xlink:href=\"#m8810b498fc\" y=\"21.800476\"/>\n",
       "     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"151.372585\" xlink:href=\"#m8810b498fc\" y=\"25.421032\"/>\n",
       "     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"158.981676\" xlink:href=\"#m8810b498fc\" y=\"31.356155\"/>\n",
       "     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"166.590767\" xlink:href=\"#m8810b498fc\" y=\"39.459702\"/>\n",
       "     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"174.199858\" xlink:href=\"#m8810b498fc\" y=\"49.532137\"/>\n",
       "     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"181.808949\" xlink:href=\"#m8810b498fc\" y=\"61.325443\"/>\n",
       "     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"189.41804\" xlink:href=\"#m8810b498fc\" y=\"74.54923\"/>\n",
       "     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"197.027131\" xlink:href=\"#m8810b498fc\" y=\"88.877884\"/>\n",
       "     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"204.636222\" xlink:href=\"#m8810b498fc\" y=\"103.958586\"/>\n",
       "     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"212.245313\" xlink:href=\"#m8810b498fc\" y=\"119.42\"/>\n",
       "     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"219.854403\" xlink:href=\"#m8810b498fc\" y=\"134.881414\"/>\n",
       "     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"227.463494\" xlink:href=\"#m8810b498fc\" y=\"149.962116\"/>\n",
       "     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"235.072585\" xlink:href=\"#m8810b498fc\" y=\"164.29077\"/>\n",
       "     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"242.681676\" xlink:href=\"#m8810b498fc\" y=\"177.514557\"/>\n",
       "     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"250.290767\" xlink:href=\"#m8810b498fc\" y=\"189.307863\"/>\n",
       "     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"257.899858\" xlink:href=\"#m8810b498fc\" y=\"199.380298\"/>\n",
       "     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"265.508949\" xlink:href=\"#m8810b498fc\" y=\"207.483845\"/>\n",
       "     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"273.11804\" xlink:href=\"#m8810b498fc\" y=\"213.418968\"/>\n",
       "     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"280.727131\" xlink:href=\"#m8810b498fc\" y=\"217.039524\"/>\n",
       "     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"288.336222\" xlink:href=\"#m8810b498fc\" y=\"218.256364\"/>\n",
       "     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"295.945313\" xlink:href=\"#m8810b498fc\" y=\"217.039524\"/>\n",
       "     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"303.554403\" xlink:href=\"#m8810b498fc\" y=\"213.418968\"/>\n",
       "     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"311.163494\" xlink:href=\"#m8810b498fc\" y=\"207.483845\"/>\n",
       "     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"318.772585\" xlink:href=\"#m8810b498fc\" y=\"199.380298\"/>\n",
       "     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"326.381676\" xlink:href=\"#m8810b498fc\" y=\"189.307863\"/>\n",
       "     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"333.990767\" xlink:href=\"#m8810b498fc\" y=\"177.514557\"/>\n",
       "     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"341.599858\" xlink:href=\"#m8810b498fc\" y=\"164.29077\"/>\n",
       "     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"349.208949\" xlink:href=\"#m8810b498fc\" y=\"149.962116\"/>\n",
       "     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"356.81804\" xlink:href=\"#m8810b498fc\" y=\"134.881414\"/>\n",
       "     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"364.427131\" xlink:href=\"#m8810b498fc\" y=\"119.42\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"patch_3\">\n",
       "    <path d=\"M 44.845313 228.14 \n",
       "L 44.845313 10.7 \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 379.645313 228.14 \n",
       "L 379.645313 10.7 \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 44.845313 228.14 \n",
       "L 379.645313 228.14 \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 44.845313 10.7 \n",
       "L 379.645313 10.7 \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=\"p364ca153ff\">\n",
       "   <rect height=\"217.44\" width=\"334.8\" x=\"44.845313\" y=\"10.7\"/>\n",
       "  </clipPath>\n",
       " </defs>\n",
       "</svg>\n"
      ],
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "n = 41\n",
    "L = 1.0\n",
    "dx = L/(n-1)\n",
    "x = np.linspace(0,L,n)\n",
    "u0 = np.sin(2.0*np.pi*x)\n",
    "plt.plot(x,u0,'o')\n",
    "plt.grid()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Forward in Time, Central in Space (FTCS)\n",
    "Using a forward Euler method for the time derivative and a central discretization for the spatial derivative, the FTCS scheme results in\n",
    "\\begin{equation}\n",
    "u_i^{n + 1} = u_i^n + c\\Delta t\\frac{u_{i + 1}^n - u_{i - 1}^n}{2\\Delta x}\n",
    "\\end{equation}"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 64,
   "metadata": {},
   "outputs": [],
   "source": [
    "# the following implementation does not use ghost cells\n",
    "dt = 0.001  # s\n",
    "tend = 2.0 # s\n",
    "c = 10.0 # m/s - wave speed\n",
    "cfl = c*dt/2.0/dx\n",
    "\n",
    "sol = []\n",
    "sol.append(u0)\n",
    "\n",
    "t = 0.0\n",
    "while t < tend:\n",
    "    un = sol[-1]\n",
    "    unew = un.copy()\n",
    "    unew[1:-1] = un[1:-1] - cfl * (un[2:] - un[:-2])\n",
    "    unew[-1] = un[-1] - cfl*(un[1] - un[-2]) # compute last point on the right using periodicity\n",
    "    unew[0] = unew[-1] # set periodic boundary on the left\n",
    "    sol.append(unew)\n",
    "    t += dt"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 67,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<video width=\"288\" height=\"216\" controls autoplay loop>\n",
       "  <source type=\"video/mp4\" src=\"data:video/mp4;base64,AAAAHGZ0eXBNNFYgAAACAGlzb21pc28yYXZjMQAAAAhmcmVlAAG+8G1kYXQAAAKgBgX//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",
       "OSBxcHN0ZXA9NCBpcF9yYXRpbz0xLjQwIGFxPTE6MS4wMACAAAARQGWIhAA3//728P4FNjuY0JcR\n",
       "zeidMx+/Fbi6NDe9zgav8RsxeCABrITMSuoG9nFGgAM9kdRboSL0/fX1ZA//LmJnIF0MaT32xaaM\n",
       "3CS+BYjdsnVVab4uZZanFyU+YtVllGWeIvrmv1El2LaIKVGVgdone65M48I+q/fWTasXcSljvGf6\n",
       "Jge5EAEdLtjq8hL4gxzmhyYLtuZZ6lMvxDbEWt1aTvY+JyjAIvQQlwoEeAgGEkdoE6+w3U5fS6yb\n",
       "yw+LLzFYwOTyX1n9ELayIJeHi/w28a2DQ/CjDfOllz4ujIap7jx3tNVPlpwibPxkUAkHan5Cq6Y5\n",
       "xx4rhkeiT9js58qF+/qpMyOTJeWRuLDl+9kTmye2j2T9KkwfJm9D/wbC6S1Sy025LL+fvfLY/eXm\n",
       "JzZXsKdCi781xynjeRGbXTfLu4ogjOP/gXH5mqbdt8RFh+zz/EuINVp1Hu5e1Shk7IiRExXgFWU3\n",
       "rlSFvDfu2w5h/85OeFl31Q8cgNn0pJOPwY731XIgeMiLwCI/uH9Q9MluOF3sfJYPrbrsqV96H6rh\n",
       "D6oGukTy99wdZ72cRZLlnaRL/O9/PI/Q7vYEZbTkZM4xyRCogQOSfBsYyQKg+qQ/21iBF6wcujbF\n",
       "P5uucli0zUXYrvoQ5aZNWZsfVBi6z0oeveCsD657nCZ98I2sMejLPNWdaACKHXt61XQPxUp4qMhf\n",
       "TGair+joUquQCMOaQuNpkEXQ1J3+NrEbPeRmC9uQ/OsD9MsN73h05LQ+QvjcDg2g2XCc1P+gGOiw\n",
       "r7hckDuuohKbdO1NCt8JxJLSuabopaUlpwiL63qiDm1+g0DSvhgsVUHyeq+yAE9rDsaTBGqdoK1z\n",
       "JbhC/tHDRZ+1jRSoRq0sUVzJONeQIKVH92U5drMZFP3Y2w2T+VZu9vXun9/66wId+Cid20DPV9Li\n",
       "xuCXswe1eUY+6ne0p1McFJPWnxOUtNFfxAuYHkgN40kDFhBer+j3faUA8WvytZmWrg9AuhMLQSFh\n",
       "wHXC6OP+Qs+8Z3yXcL19AcuW7PPg5p/AjjSVdSFbQ2oQh+iOKOp9j2fhS0as1aSR01X5OYzF8NWk\n",
       "Pr4XoirHJMRBMQzzBih3wnsf3tY02ufWJoegksmFGGQKaI9tKFH7Nb1eaeoGRZwZzEqoKUBrS4UX\n",
       "E4S0Nq9Rc11Bfj5FJou8HTK1GakAiUi5t4+oFwBuEu88mj7mcS8FyhOesCxhucE20DiyatQAcw5e\n",
       "4Qwr+ZZIvLCpYAOxW1BUWV2jgutAf34fDi/GUNoMKPsdpFZU/gLix2ZWdl+rX2S2mGELQLJWOF9j\n",
       "WVjagcmPZMBk1OfTAkzI3rIp0PKEnlSvPj/DCEHyS6ISJqRSBvzxTJHJpgFnr9yTCWCAjM4c8stT\n",
       "dJTYKyVYiK/06NHzPUor8TA3DBLMqniOJav4Aso+J33/57o6M//7MfOd5BWp05FgiznTtguOkNot\n",
       "MZrlJfXoaN0AgRj6rrgWb9c7oFdwoJ22bl+K7I2HfaWAFWGfMUDfxDM1H9tK76Ky8g1v2oZnwFKo\n",
       "Q2tDyCE1sTbn5HtaUcdLMd0LsJe8RhsrHqh5Bt/jIXVnx89wi1mMoDQWeKl1lbYkrn5+hiyIcng4\n",
       "3dC3RwEfFXBrN6VRA/kCKTy8Hy9ZpUj5NZz9wTRGo/B7TTsqU2qdjQDttXnmJLBif8UV9WOsxFah\n",
       "ZtKan7gKs4gLozTCAQmMp3CZLNYl743Kvyja0XzMIe3GO8aaguQGDz0TYkUGikpnwIoiHB/If89L\n",
       "gRPq0mOxJy54jYpcorU4W9zch8/jyGuNYUFaY9PCLLiQIkIqSup8Qrns3R+iBHM7ryd4vLqvR69I\n",
       "feEzQunr/kCFEWPlp/fh5hPkWLCSatoVkXvd/Hv+c9mCwFfTaFCnGOnPUnR7dOCtFDQKaFda2R/8\n",
       "Jy1KvAZ5NnUt0f9TXgboSAXSvwVWGB+qwYU0hZlfmd5DEKbmK48t8zQYRWl4UgOQLNitQo2j91BW\n",
       "WlloeIwnKcbOQMUHkq9BaEJa3dpy1hOZsTIBcJAkSTWhNZPsV/NzOim+BZeJsUc1biidQFdY8zUM\n",
       "SkxeUkmTiiWf9R6VaN2OIWozwmOh77iN1QG0c3vIe4v0L/1ykwoa9a+e8SsEy4wZtIuANIsBYdCM\n",
       "mLgXTCrhyCLT/8faelbhWfXeNHE8nh1M9Avn/1g8PyhsQ6VVx0F73EAGYcqd/Vm5HX3CV0HyqMAo\n",
       "jHSWW8N+YIWj+Asbv28u4f8fDF/t0DupxJiTm91478b+poErRyHk+e1b3o8dnFNTAKLd2VPm6R2g\n",
       "24FArBvJc7GB2jhIR9RtbFaN751VxiSsAtYk6fWWozdOaALUaTzooS5QkYMM+XyEJtzps0MMtVNC\n",
       "DnKPgeBRmvhjQFaZ0UcoLGdOzBJM/v+2xrzqwYT1AD0rSAQz0OjwbTy112uWb+c8o2ih/Sxx3O+2\n",
       "CHj/cnYAQDr7x3eLJtCP38UiSd2DAM18ukDJdNIdSPjL2eizYakbxXMedDHr/vKXb0mNe/INeyxT\n",
       "IddAx7YGj3H57pmnKonBnbCpxgNb/WIwJm6Vztmb3ENiBuz5xUh3y/8UOOAE1ad1AC8KUok+wClU\n",
       "lambrVi73tFYvmRagm7e9OQ8Xn/nT50TwACbCwyT3nLfR16VLRGf1r30Cm73Vjc+5+3SbZzWAQPH\n",
       "tHLOaeJDypkrdtyJXxFWurD+Ic8qmo3wO759vT7L5LVCIuvUCS643dV6ENec8e2FolVFbl2+5qbf\n",
       "WPSRoMLit1+PIhwvsnyB/aulotI5Bq+rEuspJ86j4PwpOwOp2FUi1PCwiLgXZjqJ3McbmR6n0u/K\n",
       "P5KrfLwT7toJi4QXUPIn/u/4SUyPvp9ih5H6oK0RefIVPk5Pgx5mMrel40jWj4YdCxSLvfYLfmsa\n",
       "+C0AhuRHXu9WkW8P3OY2sYvTIHQYz1YHzV6S/sOQrHJzzcafi7bz7p0KwfzFxBGtS4divVoulReM\n",
       "rljkwJpj2OVd3z8sR7BYjwxETYQvCHExskp88BiCkSfO7LTWcKnun4w/xYDy5ORQO3yJDL7/O31l\n",
       "8zwdHE7Xe8CrmNYperMHKFIIIrmg1mQk9m7vZQPPFT+K7IQyxaH+CtqbtPi+YsuI+gtq9FqhJBZ4\n",
       "5JgU3di1SBVRizDOl3qYPtRf5TtSoDIVUjd9dft5PYR4wM0ymTZQ+pEXI4GHoWdPPSSY+PABJTGm\n",
       "GFyyozayg+PvZnfmg+ZjPZjhg6/MXnBNqVqopy/EPoTpHjND/3ETPOKkj5IEBGHFWUTQls/Phuh8\n",
       "genRLMoKqTiDwrKeuYgAiUn64YZNQp3GT2WthfXAAzWBzvmRr4bNCl96F84JsQNU8/JKS+wZM1eA\n",
       "iBjUSq/G3R7m0biZWmkFKHAT2eHJCmv//Fy+rvsDWrx7q9AVqIg/T391J3HOq5ObDsPV9oisXYzz\n",
       "Gp/Bg5frlBQSn1YWmL2ii+Uo5c5cbnN8fa5etTJGaj/FAvD0WgUqM75o4hDXoWrFv12sSfYC9Iea\n",
       "G3r0D1FMhFzDQJThQUb+gEp0OlTqorwESpZni8RNHynfNh3x59vMnFHNwH3jedKHOwS0hUOoSxp6\n",
       "s5rDuyRM8+ToeiHkxajODs2vJ8M2U35unVK7NIIMWXIIEc5pEz4gBX6cqwbb1V5mRoi5vkGLvf7H\n",
       "WGybIJYpqovZmM+nuylomMFX+nyGAncc/ms+ouN84AJAh9UIEVr1RNoecPw5mfpHr6OwG+vTVpqs\n",
       "YTPyLUZJuR+ZiEL95qeJoTy4GEPBp4hQq/XRN0fWrjseWXVtQIBMI41jhOUj87Fha/HONcQWcl1P\n",
       "cAJpphAjMpWZ2Hvk0o7K7Gj7PWnULNoCnhVCoIt+Qx4p6Y27vNtN/dzxsVNiPgbjNIyxmKm9bD3L\n",
       "AjTZ4OjjfM1Xa2SFp2XG6MhpBxVvT1M+HYhhQeTFSqd1BgO3mNVXyOZbQXZOGB0wCiSnwTvwWkVb\n",
       "Emto/KlqDQManrYITAujYPm+LaUT6nkhv+XRKws1vvgGL2K7gGnz3pf4Q2IZ56kvkI2CuLKWDVMP\n",
       "jzG4xQI/lgRYeuEYkhVp2zyhlwSPUI/xVmymIAGKsZJv3akqqItPTOvnFSmIP96KtjBjXuTVdkPj\n",
       "Xi4WnqyoKoaB7+7moH0Ke2vTjOJimcDVWpxxgDf+iDRvuZJhP48jzgvIu6fU+kZyYJq8Yl3dnD8g\n",
       "EgzjwTkjKvZnofALGTYtw2RdErqzEHSWUDxDO4d2wK78+DZMuUGwHTNBCRSaAzi3JbSeyO4awcTx\n",
       "V6DdEA1yyjPycYTcc54c/AZdLv/VMMh4xY9nze9dtme40XY1l12rU4gcqKOf2bDhMxSGM2ASy/Is\n",
       "jncowL5Hut6BJCnZXBSoOdjkwJ5gY+xE4JiHiM8wWozJZ55u6B4PRpdPlB9evdvvLpY9345+M0/8\n",
       "H4u1QxeLnUqVsvQxa/tSUPLwBrZ96wQX+AsJOWbXwlFPtujAbOX9M/3GLVshAKvEVD5qQn4AX/ki\n",
       "fmO7snerZyzr5N2z+EOn4kPZ109UIPjc+gVVdrLN+izv0UnmbEVT5/8LK2NWo7pWom70y1PRqTt5\n",
       "XWueWKhSoWYQvCbtRwOoXGLa5eMMLXI8BjWhfeREt8RZBvdHP5RhW57MxIpeccBMU3ywQSPSHVBl\n",
       "g800lgtjGrF7C36AeKUmgJhdIRrnapPtsLlWY3C/StoY7KbhsKwtgiyT76VjWfwANSZKJsBzNk2c\n",
       "xxs4YU5oKrHH8C9TV+kExisK+ALq/CS7t/0rH5CMozVhY61Up4WWyZdl9XRZVubPJMql5TdY7AYf\n",
       "GN4rYq+ixDjWMnp1RN9KOGODXrSLaRt4UB86gI3zIhiQmvEQwr3+U8Mcp3yBGRqcxD8DpA6I1Gb+\n",
       "IkgfJh6GaExJATpJSaEA9ap2fYn7pVe8XGyC7LXlWPrBSAKA420gbuSQyi/XXdWYkgGqsp2RUhjy\n",
       "cn+mAORAjdQSVwUXLWfrKHx36B2SsbacBS3k30YDWHLTXoK+NEqclzcbFel7fJIIgxLapRM460dI\n",
       "3g0l9RTT7MNjPWSPokSSpXX2NRdsS9JoGygGrXvEBcIVuEvvmFVL6EM+ExaeEj+oTBryMpmzd0g8\n",
       "416RBw4w1TBKu2kDxlte85lHsGIvr1Xdt67Jag89CzseJmADHP8dfuNoiu8rcQ7K+4nuNCMhHLR2\n",
       "8m4q4ELo4zBHOCBBcy4USKsq0nA+iXMg2LFfqaqU2AhjYb3ymtzp1ILSkTZFlgk3xDm85eCN9UBx\n",
       "KpTm3kbqNjnHoO/beeX3w8t0aQGIn2MtsDYWMbPEoc7HTA26Mm4LQHwMSDHhUiiVCsLQOSI7E/bC\n",
       "NRfaCY/a9u1hQ8HfRq99TWX+61M6gNIt308EUBVOy4OL1pF5Ien2ENPMe6C6caadMCcV+qcMs67H\n",
       "ufsLs67Cj81LKEghUYzzN9HfbbLZmNgctaViGdwBQQYreP+gV/1pKS0/rnCl03kEzg29N41BDANo\n",
       "fZBYG7gFg5tLZYiHDXmMxCmd3m0RqIohLsHpD7X+m5X053nhrKnwYeTcYazxuoo2yugsu3vbeuDc\n",
       "c5gyIFAd0pPjztW/SWhnSQ4E62JtjWCwnaoslL7JhA1O2ga6kYenXESrNFQqBi1pGQfXmWCZBbpV\n",
       "OxLKrhe5QXZWrfrDrEefP1UDLAr4vc/Nin/KzXAnL9zNylH71cWdgtK5icA1ppLPkWKjTNw4gdR+\n",
       "HronmYirs6r9V2C6KAxZShx2/2sIWlqxUhsDJnq5JW3jfecOhfA6pAHAxlUBRxEPuIHnAEqj3b3U\n",
       "I+ADlGY8OBFeB7ExpRUh6d0oG63vdyVLeBAKutIdxzyVk4LlTEuphbMcyJF7oGGVrPGt15+/Jl6f\n",
       "s+UnAkvk8IUCwwAABXFBmiNsQ3/+p4TOwv+GSAG3x8ZELRu1EwhSX7Q0OPZ9Cy/h8O0vYqWeSlRR\n",
       "FuEsbgbTPx2NF/o0vNYPAt6/lWweuyl4rR0+rNHseLl3YuHjlWQDBs8EHEXwVG2ca83/9LD63N7R\n",
       "BaMp9bbjemPDSuzmeDktfF8Xonf+gQCeqrw40RHjzDglbP/+N9mKV49iUPEl+bMuo0Ui4FtZdKj+\n",
       "odb3fdj3SrsQ7X4R1LQyGAlslKxpERuS/XLvomjRtFT43DO83lKoeSqPYlFjCkfKBQ27pLv8C7CL\n",
       "qy9tuyB1XTozCgcKQEdr795pBx15PBk+3jsf+7iYdHfBoHvKXBJR2tsmsbLKeA/wrQbDVdRdWgQF\n",
       "W1zNo2qCLjod7BtZfff7g86mXVR3ZwiYeolJNYdXgPY/2xxyBj6dK+OegJC9zX5JSOxsPhbRMg7/\n",
       "JoSiOe8dpBINGgj+BCrXYwmS8WqhymrWSQxofZoGXT4b3S/CCbGH1b3dB1pSYB6qtcPcuJShBMoS\n",
       "PoFf34Gk3VkzN779RxJHOUSDxNev3cxHnql7PWF/sgwTT5xNKfQED24aPLEon9YrsuuiSsPK5fro\n",
       "tMFSY6Az0Bb2+QqqC9mS/dxgr/AcV1llnS6GEpMh3adB4cqXgfB1ZYcR+tt5J2KVNLgaXlFfQTQw\n",
       "6etTuPOtr4BlO6hKFJlNWDx9OMJzdLDY2B0f3c6aC8JD8oMG4jAuNbo5ZoUDELjaIkXbAjfnB+1A\n",
       "VSIT6M1VBvy112LxwZVvEXzXzE+YUB2cJA4zTq23tmJkVF+H6HylbxLBUEpo58RjU/8UIJ2WJ/JY\n",
       "bCr7Yif1HGomTzX4OMro4BEVl6GH4ON/eh/g2lwASLqk5M+N0UcaJ/PZYI/0otKQnirIrnVW6BcX\n",
       "VaJrq2Y9GmBU/krBd4tQg69OmUN7MHh+9bxYN63CJxtfL0hQeVwEYivPocvgJxZDFdq1C6xS/9O4\n",
       "IaHtC1hyBc2GUDdvryRvmzf1F8r7qq2ZFMPGKnsfJI1kk8JKsUHTdcQXDbmjatp+8rH5g8UWdc+O\n",
       "ffMJRbm9dzy9xJ7HL6OhtbZUjK3NOjN8bcbOfth7lWZCfe5HRYZOd3Ut3CeBm3kCafdbnRav542h\n",
       "Dxp2dTcWcGF1JdQhMOSCrfFCJQGIWWLDGqiHR5VYqVM2RFljQr42mMZNywalbM/htosf+fvzjcGz\n",
       "0rXb6paXCvBqAdv35I96NAdZ0vrJ+T8IC0wz1k343kMeCF/1oRDrcneRVmXCQ8cWAQZzLFDg2Xef\n",
       "nTD2au/aUtoN9qw6o5oX4OGJgQH31Rizw7emZ5XXZJL5cbInTvxiMCVVQTVgap4YWs9tJzHQyIsw\n",
       "HX1Xq+IMnGRYDUZ6ZIwN9vlxQuy5IPRjV0G0/IVNdWlkRDSuJnaPlraLQRAcaWhV203d61THXfU5\n",
       "+TBz95c5glmJqFuveDbrywuXUWi58UaHUljpDwT/XY1loOzPs/OdvNPr99a98KxWere0DROTC3qU\n",
       "17IxOBBd42sM387FyGCKZiea4FNIvV1FHIorZurR9CxcCfPeh54sd/Ak4pWZ4Tt0MWFNzvNh2AyN\n",
       "w+AFjcEEHOV7XhRndJmltOHosRmtJf2/+9V5CuotEffm8U3rYVY5m4Pukig0AFYqPoG7jPAr/Zcg\n",
       "VUzSlJFJwZ9cVKCrdKkI6CoWWo6Z7ZIckXQcGAP54fyFcYyekmV/aXQOyFHpJCDP/+01CdSWPvSV\n",
       "sUEa2OuvT3jBufc6vw7tHQsYGYmPBTgoIQuk4RCnH2YmVzxI5R8xoSYYCFbk+rBED6mzy6KxRpkb\n",
       "HLQ6OL+DMiL8Qf8F0Yi5FcFgfiyhI+keRBMyaULWPVRwwbT1iwPeAAACeUGeQXiFfwXtNuLVKgpg\n",
       "YAPxUTO+FeTM1wOAhC4HxVOXgqwoXooTM2IOzi3Nf7Fa6zJWnVFrxw+NWEQUPuft8aOgOXZpq/L1\n",
       "Ty0p9Ja9hrpvlc8oJKzIurxclnley4Sj5qXomyxhpRkKQZg9++iShZDWerPiUpXLu/BbyJqWuqg/\n",
       "g3gJl/9nr1zmiAtBdHomDOrXy2O0OVUP3kKX1IXfpXlYZCBa/ewWlSyD8JDXjxewF+uFnuiybv28\n",
       "6tIDOmyuSgLXVrIeIqYoMeka2+J/PJ811LCbvMGPxsBtFNgsq8xkSo7eEeSJavFHx8S2P3+xJujJ\n",
       "bX3ctyR1yXvJCROwi0JQD8zrUdLuhD5T3bYTD0XpYfv4IB752v2hGh/XqgqG1xN+SpeVFSAGLF+5\n",
       "NRaJjJ376WcB82s+dBT3I7oKMX75FwTZYtNJ3PxMtEGl5d4iXmCFnTV4F1ziBbrbHmAE5snNJXhP\n",
       "efR1+inmCdH1lTVq0w4ZLo5xR2gmHjtV4+lsgKD8oXz7KRk9gLlQUg+y+tindgJovDFuIm2zJsaj\n",
       "G2ZByVILke4FC9QMVluFRbQflUQg9kEvDrnvCS94B/yviTu92qsQfpqT+1PpBfJwTSvOFOX/2SyD\n",
       "lVDy6V4VpZDRsipSDVLnnjC4BreuRwBXpY3NpzKx6FWYf6yheK2TLjt+G4sB7ngpyIhNUyRnw3lp\n",
       "I0p9FLJpItofE5c+7tG2ZlPyQbrXk2jPM8PFXw0pLRRNTni6663Cdrh4u4PZtcwkF3/2OCyBcOe1\n",
       "ysxQtepGM2HXNWGicOSK8LpA2A1GQwNCn5s6aABB8fhksWTZvpiF/JGMBbU5mZkY8QAAAdMBnmJq\n",
       "Qn8GqEhPB7GAAfTapfI2eA2XFcj1e1KcT4IaBYtaqq4ec0nkzKUwGOBqf2Gz5BOHBpsM4XwdNcIR\n",
       "d6rasNzr1IK0LEX3Dlt4qEpYBzZWV6zCIBFGsUTsgYvNxIqmzkKjyt+Ng5ZHaELjor1+P/iVJm8N\n",
       "FQZ+sWVWyra6dik+b6dwSsf00Q6BwTX9SKK8mUlP0ByxxkbrbIdHSa7h0jeeNRu1/ZlqwcaR2Fvw\n",
       "W4oU4JiY8yIlsTN0t+AA4EZtzUDA3fhTEB5YNowUZNA1MUy17XW8aK1EtnsIbUPykFns0sTu18Ny\n",
       "k+QRdOxPnV8dq3Vr1pm7Qahse1Fy/SkTOgg5VtRhr35UuZN9E27TlGcb2OBb2jWi4q9zjovSwObg\n",
       "tyatE+lQE4h8UVE4sLSqOE9dQbBxEfmVhLqbiYYKbyW5TiOO6bvxVAG8OT9DsNggBF54aqgjXlvm\n",
       "MUM18TKGnkKbSnHkry9+Vi8Sqyc4RljrSco1XmoAhdh/gwY6mTQXwA7wdW98+2/iUvwvIhYf13E/\n",
       "D5f8UltBG8O9edV8Nc4mGRDA7GGFrnEMY1yIGENfILwnDryqQmzO1CPn1RGG635sZFX+o32+gWx0\n",
       "xZJvA6e/IAAAA7VBmmdJqEFomUwIb//+p4Wh/e3Nb9wAAtdRzNOs9qPtrxXhom8IxUQfEv0TccWH\n",
       "Zw5+xM7DIsLlkGOccczsAnnprEZJECAF4y2YmAE4TpTylgJObs9b1fQVPk8qLGqLsdulISmqcmH7\n",
       "XZXPq89o6sGA3zANcrX57XGqCW780j7AhlrDk4BLEAX47+WfqRtdhYVEoWflAm+8jqO0tLpj+vQa\n",
       "0Dxie3EiiAotqcuy39Pu7eXcE27beQnsTc+QJSo6xZ86xKLm81DH45xtP1c5zAPZNg1rkR0K4SQ9\n",
       "0udg/blQNgtTRRYDsFbHSIgN+z9GZ0kU6RS1IlGL3L/7i3k1kSVzs9HtC15nyJn+2PyO+9pQ9e8v\n",
       "Oylhegrb3GYaAms/D6Q5a5GeAWYLDaGeoMEgeqPEh79Kdi9IvztebHThmB1Xft2//LlL7e764eNA\n",
       "6BKb4EpBS0aE77zAfkPZx24nZsTiJUZvHU2yzIY+c9yckLZjK2rfata8Ph2k3niVgwe8lE7vqUrX\n",
       "krp8K/+4Prz8JCk6xxZHgTkOJMF/8LouNbccC00Nh0KxX48NQZeWdqKpOAyBLs34apSaDuW3Fj6s\n",
       "T5lReQ9KDvNJni1pS1FW+NgWO+pquyI/eyw96Gpit6m8WfnczNYaOTadxP+4Z4eJyK4RIbhSa/1j\n",
       "/JNSsYwzSIipEjAR7Wux0lNjH8ME1tkMUs0TFHcG2v8jHOzPO7aN2tVi4JNm0BsVTyK17qSr3uRx\n",
       "AmMfqGacXusdSsf1VXKigtkrRXrwG14dkvxUJiQKMbsxz/GyqL1MQw+//6XmEGusdYn9lzDQAfpz\n",
       "vQCKTkPFKpnaxfdmdfQh0gOA4Ufl33cpauHZ5L1suE6uVuQ21XS5U6XJ2FmzcegZwMSWxwQkl3FN\n",
       "CiAhyXlogNPYsEy+AjebK8qUY9/kLkCHOP8PTV0jll77Dd6XJFwnVnbQx26Kmrmz2wittvm8wCDZ\n",
       "FA93cFo8vyu63zjnguFHKkMazGTPv8zXHbRyKZvXvgt2yx8uINVorR7UJmSjtSp1s7CMXsae/TWa\n",
       "OPNfMLIohrbQ5M7FKK6L26KB17fIWao/o8TQWOvI9uN/0s6FM5KEORejD/NzFRvbwVV+gjcDA/EV\n",
       "tVH0pY5ECqf3/sKF1JULNZxapXFqUblOC9mdXtnjdXIrgOJW5ALEKdmzBrPf3gUvYL9vecZxbbyi\n",
       "PqJ8EJeyR/NZrLoC6wOeFZDkRcOzWV4HESi4iJ1tFMyf0pcTRaRl7TcKojMjLcBtAAADnEGehUUR\n",
       "LCv/Bxpa6ZHZuooAJx1SKyFSq1cpF3jJfo6CZGX6eGSQwL5VHgDy/eHInCpbG3Hw6O0K4lYQucOl\n",
       "McrCKxawN685CEqOZ+nFAbXa84E2e4aKWeF5MFSRl0+ax3hmVLaGfeQs3WTcI/RnTgUiCXUYpKAD\n",
       "B00M0lrBWV5vni8lv0VnnfxvE4rxV5BF8v8m9J0lORVYlOZalo18qD5q949cfWqbX99TvgTZo47/\n",
       "mdinvABH6iWB5XzVTu0D82RN5C3KzfJIs/VJkrJwWDv/N6B53DsowmuhgJuLb6B77lJORkJw/S5s\n",
       "6QYiQypG4oBnzXMyyFUU3wfuYlR+fGRzxhBHVQe3h34NwE+eLZB/9EiclR+C3Kgbn7HELtp6qfze\n",
       "r43Bf4+aNlR0k7pCg3XRrJ7UhZzlNOhzGCMOvUdPdEl2maHKL4FVbtygiYMUtig3f4Dz2xeJtsFu\n",
       "FOro/1eXMAc/orAgTcQi8qNVqdCfw5yrI0tn+BMbEX8/AEk40/LnIHOX1z7QX9H/ACNr2joVBt87\n",
       "sNwRaPtQqbFRicnydFTYfGbkzR9dtuogpTjAlyuCzQw0Y5NMqwxRYRrHyjU5x1oIYQwVAwDb7fQ/\n",
       "JA1mKkLkaUvrlQlqG8snAuqAfNBfJgwtsbgm+li34NTkraAMwvvN7BJhpnBTPLNkR9zQQJ+HG+ft\n",
       "TavHF2/W60OyZEOVozXmpvPJz81Xpe5wdfvHfSnwBrtaUACkOIn2e0bzJ7lciOXXQ8PUTSPDp2RB\n",
       "j1mtALwM+bRBNlBidtClPAkGDq7g/8g3ymt7+BaUp3b+MACnuzcL3pgivN5/Aj6drvAbEc1rBgQV\n",
       "nk1yHpnzwT1siQY1SSoYXvmIW9t7dRYLHSS73iX364dRnWzzjPCGT6ofclWJSeYX/Yklbl+TagkE\n",
       "DBjc8jz3ZesqabJ/qLafEe8l8nqYGQEzxR9jxgbdO7ypH0ONeqBfVQB84MjINtSMcPBOxJF6gsSb\n",
       "gBtG3CPt28CBlIDx688r9eGanNYZWE1NdW88/fG3JEoHZZ3dv+WMOgiv/3ay6za+0IQIAI0/Jxmf\n",
       "nFb8pIF9xFBHI1J8UE4QT7KF5XtupPClNchlUWEXy1IG5OfpszLu2Tbpgnv16jDlZtJO7pEqOAnB\n",
       "ktOxD5J1JeUesiBfwoYEb3MqVS9+pWdQRmPetidHCIkKj4Z+rKrNjj0lVwA31ZTtdAYY9m/xD4oK\n",
       "QhqANKQ/JQAAAesBnqR0Qn8FxrfAq+QAHwTtalrv7ODKfD+s+ImWHv68TUJBItn5x5RvKIWAHTnl\n",
       "S0oF4jkAUrzhivN0SEiAoQ6gRpTwYNSX0gLVxt74p8vLLDSqTz8V0QZfK76wWluYVc/sTKKkEVN8\n",
       "79gnUSJpRiJ85Q3Rr2N51LWLQv0iZPy1ymLYbXFchrXH52VD+IAwwv4qOUkBR2SBxYc+y4hBvs3P\n",
       "E0/rVvb2NIYErKeQeUJaoScMXnpqvSEIT93OBrbyghsNaB40N2rfUoKNmppJShGQAIy0ByZKWJ0I\n",
       "WQVbv/D6EgcClhniNQLCosRFy+qfgdzxMU3m6eb00t4pmlCHP9DCH24H3vhsljDcnO/H8ztz+Swe\n",
       "ADqZhLF+H9e7iWXiLWo6kdIjS0aPQY0DocE0ebX5wiHcMeYlBhFT8nfQUn3aYG/lFYxG6i30Bprl\n",
       "j6fPNm6ibCItyrB+xl7rqTdIBLdscpVUc6uX/14HU9xqKIf/3yLQuSN2zs0yeinPka1w+pqvgiSw\n",
       "8l9IHnZ80pR771oH8iFRB21aFk7mMcIBWBK059hq6EJspC5oSXwxxxHcqG2kw1zxLwG3VDMd3eI5\n",
       "afxHpszk9qGDE6VOeU4POSZgTqmh7sdFVrhv8mbX4/8Vfx/21d3gsQTE2p9iAwAAAjABnqZqQn8I\n",
       "eg+KVy9wvREwAD+dtuwPEXJCqU+v6O3BAF95jiRkgleX5XDeDMQ+o7mZM9fmrCBiY1usRdaD9d1F\n",
       "bK7/V6uMWaAfkKPM+ZDf6f1/gSA+8sjtXsBtGiJbAS45emssOTXCpgyGeaxGjLVzF9MkE6qtOKxV\n",
       "ONuzyF+Sx+hSBEMtEuqCMNfS/TsZKcB1DqymQrQ0crSPQwwAdkVmAt/bU5gSir9lIZQYiAfwI57x\n",
       "MIVBp2iHD3X8ggUaq49Ucc3MIkuReo4BJ0fFTUNi8nVxIQmMQxbfS+deY9zTXWr1ss2ynXVHrIMt\n",
       "PfDgAjwzrjycpZ0EU5vS/UGFGxJP5X4gnePgSOUowZjm7Hwx2AiBzSF5r/wgRMuCClsGjCef2S9S\n",
       "dRswF9cSDhQhG7GWyuDmy9gAYR2E/hSAOk/GSIOxZdjN5sxAGg3/N0TaIWmsDywZ+lQ7wwMWpsif\n",
       "wZxY8OPtS68J7u9uUXAyheGu1edZazMlVlewGrlHzrr0DG24w/vWZoYgadcPA5S9GFhd4HFvy745\n",
       "G1S6/r+NYQkuJ3JGeSka9awLYcdBupb7RQfgn6Ow2J33ahfpsv/3KA69facVSrqFLk87cb2mFkSr\n",
       "/KjGWclevcoIyq3ae0FY655V4hLiZGWTl/tMJkUQGeJFp4ABiH7v9VGMImSI4SDzEGYAIPtG6QYz\n",
       "sGm4TEYls9R856Qxsy2LN7h3r+z8TPewVCXGc4T27Lxpbofc3/waCwAAA7BBmqlJqEFsmUwUTDf/\n",
       "/qeFof3t3U3EAANCRM5PldA9SbCwNHkz1XCnC5Mj63VMiXQ/4jsymZFmhNk/lp8EBk/9TNmj0LuP\n",
       "MzbpLgJSioh39D9ObNV3vI8IqkJcsnajpykxm5/rTgvifR4YkkawLnP4Gw6puN0ersyKDj/4fd4t\n",
       "g+v4lZlOAyT6V53W5C8l1hSkZADk1RkM+u71fhTaqFWvzvB8+fMetE/qW9nOru8BfTM8yAokoFBi\n",
       "5uuVMTEIbNyN/RuqmZFntqUKbMy8j4oQkPWU/Of1u8tu4LY8xT2X8H9+uKMkBLA8I8vPxKxB0L+p\n",
       "ZEpRfJH8BlcLZ2MZLtGV95rsmc/KczTV1dHJUiIy7PZnu0I3ubFf4uxeW4v5sSScDowF5JfX+YdC\n",
       "CG2Q6GVDEDCtbBYRxb7gKoSqoNlEGd4GxbqgS+9ryDhpGytmB8aEAEfJXAZywYL2kVjdoaQ/+2IT\n",
       "t1Gb2wgfKqgcIEN5t3yHfoBud4J9+9RwAFGA7x3f/CtN2QrwRtQDArRoOOeNlSMMUQ4QaalkUNOd\n",
       "6+s+lONxZS22MNNMzmAW5xuRfSbOlvz+FS6JM/JghWLG27tMHoD5iy7fIieIWh0eQXfBBl+LeaaJ\n",
       "KGSwvg8jY1gcw4bHC80rtr1KiqV5XdJvfCSBi+Tif0clTdE/CPJOUnpULTgEuw+d0KIPFKGEItOs\n",
       "PP2Nlx23rx7w62M07dkR+IV1S64vURGIRzPdn/G3wsXxcGARSMIWJO8tJCvVU3RbGgr4WNNU553g\n",
       "3BupECF8vJ3DU+A1xI8rTXyEddXSomcjkosuVWw8hbJC1IWA1IJWv5vauIGv6Rh3jVDZoXtjE9Ao\n",
       "oLPff/lJEjQexsUSb3H5/hulDRRH0tmrZcKrDq53VcVA7kKLhMasnbnd25C2XSos0pIKHNc7IQGq\n",
       "plBAiLriRVPWL+DmwAK7aGBlgPDehIiWfIIfjhosumOgvjfM22T9wyApGaFUEHVWNqXuq9vGHmu5\n",
       "e/H3x0TLUHKlpS6r6bY6blrWH2HCNcNvL11ufmtR381RojNSzRGhkz+n5rDZe2t5BFriNCd+8QeL\n",
       "HDqvQEZ107oa8wyMMQzjn6vdurp+anCWzcEV1cSOhtPwQXsfh3zJDWA3k9aQdJOVa55C/lUa2PRR\n",
       "BblwsGGlcfAK/ckiGAVapuUGL6JM8k+Vf+vcxTCrmYyLQcKYHuS5xqUqa0fi48D5JiWNCPA0mSel\n",
       "wlBt/w7FDiWPtQ39/7b4GeevCAAAA0EBnshqQn8Ify6C9wrk1SAEtsrwb0QQHb4XzAuu+wc7tfwM\n",
       "tnKjRi0E2+9dsrftT1N5pMPq9MdEQQiZ4Debv2KcjIioMpMqze6kBLAyPf2+yLJTo6Yxr4mn8rcW\n",
       "IKkyyo8T3fR+zDeHoLFinRX07RHR97XY3FN8A2HtzQX2AfGlqLCPn5fbV0+n3UijQ5JldvkPa/hI\n",
       "IS4taUgE7ZjZiiIPtHlHw6WlFFmQu5skoEltuzSzYSSFfUkb2+VrHoMele4g+4dyPfwcs5ag4hXj\n",
       "l7gqCvKMDLWLJb9a6oykk3R51HlncBEDNzJ5HB3gkGV28//zbFU9cLhpIdVk88zXWWtN3gOsCIjm\n",
       "/lpMibvZg02oxAZt72/r1C3m5YG5vxQPR5iAlvcmgimrUOPCfueZrgJRT7hVTTvZfAtUQTWrLqoo\n",
       "80hhSb7LnzBvfBYHIDy8ckPQZ/U83jt9Pjvt5I3IpJ6N8XTrf4Ygo+mDxC1duYf7xK7vFZQMcLC3\n",
       "Ub1wh3ecmeA3Ib3X9GbZSjrtPvGbeBUUd8p9n4I+1+QKNapLU6ChCeUDkkQYnyGQDW20d9J0Ubw1\n",
       "fGI11+iAGc3so0Wqygk36erj3ieiCGX2seDxwdWc/xljsJg/6h66qeVR79/zpm2lhpDeG2Gs3hHw\n",
       "XMYvG4CX0Ktj7s7c/pEZhvKvQHuxwziHcn3s6/6EU4rWG8d3hxfzZHxtNqJg2MiTTC6gKgYABkNI\n",
       "HNjDktuetnNQab1s4ZvUj+Xv3onvXmGs9PifUtzse9OueFsCpgJIUdx366x+OE+v+vM4SdTtZHMF\n",
       "KTjExkyYdUFKsVM5Xwsbppyjq0f7kd0wUcQSYigOw83sRbUrdFe6CEmU5I6OEEyQN3p0xkGGVq4T\n",
       "BTu2iPfzrOtcIjNpK7KUpgFxh8LwJqr7txoaT6bUgAuhDPt9YS9aQBZ89/E0BGIsZp4KGCeoWBX9\n",
       "eSiTrtVvpvdldse6543kltLtixtSW/Mq2Yqv1co6qLI+Z/W1PcsCu/VIr9Gce//4PR3Vi9jAfU5h\n",
       "MZvXc6ffWL8c+jeL8IEL1n7CJDfOKy6k1tcb2+JJ3A/ZwqBp892UyRKiG0VmTIPFF9f5qC/Urfll\n",
       "4AAAA7FBms1J4QpSZTAhv/6nhYAIDoJBoA3uIPaZ5+jIAEHjG99TfNg9jDPt5cssO2Ne/VKWuXR+\n",
       "PHOCFDiNdj7JYJvUt7tjMVhrBAkpm+gbtxsQaQt1Q6TkmteOtmToxljJFI6It5w46W3dONRCo3O0\n",
       "eu6FxSVK9mmOj7wELXUFoVk6dqMOGNEfHJtfnR2K3hLp317JdodMyK6cFRaxAgMSGODkROlDO+yK\n",
       "iq7t8O88GMNZqezXNjEPLRFYMkd1UK8Q0CNyLEJdUh68jYsVPrJF2NGQwgAsmLArTGYrfdTNlvMH\n",
       "FiB1ojAWjtZw7ifC/fsnX19B8IszfvCRX+4xtmjCjK6pvLgptBo76gc0Qs/Dz9i8txfzYlrnUnUD\n",
       "K0HtYXBiNfatXY51/AXQYnYZsH0loo8lZxuZN5vIHoca0VFUehHJ0GxTr4f5FqkhDPSvgEY1hlVJ\n",
       "pjEpPahxhm/B9oG/eGCvVT0bk+THJfT3/Ak4NNHWKyUF2RRDCnEzGL9BQm1YIEtQmymBRNgWhoZb\n",
       "0jr4HzNAWxG6C9vnEB6wpwzba4/7gnh/n1/w86t+jZRVCU/0PpgH0q1ExVZ+ezV0y+xktXL2WQ+c\n",
       "Ex9GK9rFl+xtWRsP9jxnyeCnJo1s4qMMpb8hkUB/nPTIFS+TRuUXHyts0s7vn+LE5wa0T7+ZQClE\n",
       "2kl5ODZ83xiO1O93j6bYuq/2sXz1GmHAvN27cZeED2e4iBGgB6bCo+A0QyskFzx4UVgR4OK6+XPI\n",
       "tezxOHsbYAXBNtTgWwcLoYxg71zvx1Vq1Ux8oBQFJHd2h/TANt6GkiI4MPke4A2fZbk/Lld+6n/Z\n",
       "o9e1GvtS8EEpQMvc9nbLR8e7BvLRDm/j8eVjt+ejxb0MA20BORPqxk6ZF7vCnNfBIJM1q3RVdKT+\n",
       "Pe1LWSfX6YILDuNdfiuc7VnbcbOoL5MwmyA0nN3bXbR+PmVNiy8NYzvrIqFieEKnjWejG3Yf5em+\n",
       "Y3fyOau534cE2lXSWrV2DTUOAVWEvcrM7zXv1k/wQkdGFKjc+C2NYshcjUd0k6VFJEKqqiLP0uYB\n",
       "qUFNxZGjzMIqTbHiOXRZ4XOBjBLjrOJFCdPW7numdzgkYI6wLesqrZo/0fSXvTMwCcqeSGkEJoFk\n",
       "jVsy2D+KQMhjbmUOzJzVelVEATqEtqS1m1Qa1IxTxEE7ZdbEQ3mhBArJNrXD0A4RdHp3ZpUMpP8r\n",
       "FGAwoZS8m4c1b6+riDnCSZVwxIJy7YOH8hrHXNHgotfZrbvPx/UAAANQQZ7rRTRMK/8HE5Hq+DAB\n",
       "tR2jvo5FIKWfutr0YYVb2FHU5+LsFZX5mvAVdRyLbU14AjuxAh4zuhvtQXLU/g8nQHnqq4VOvkWf\n",
       "kyLEa9Q31ZleIwp2iKWDuPdL+DHt0tEc8TCaHoFwwXf/YvubdU+WOScdA1H/Mk1SWgz/yx4O2DIE\n",
       "/Bk1HgX/tJx09z1wITJAWjmfvkom575+S0K0us4f9X94q81QOnGi88ne3BuXj7Yl9qsXybQLdl5S\n",
       "K7chlUsBI9jgZYTg5LJYT6D/NoC1N7rimGJlKiud2uMVcmLNyt9IGCKth/AieB2lZUi0O3k9i++4\n",
       "EMpvMLMx4lmEhZ56+QIAup7itHNVaQ+4UTs7BtnLD/+B5SIkpTzwvWI50jNPpMEK9gZAjVaG+QT8\n",
       "rJU8mT4ee4m66cVHlMitqRJRHd1Tmz5YpS23Df9HquaPrd7D9fiT5o7crj2W2rS35bnzL3E9b+4p\n",
       "8EWH5HEV9X/m3nzLdoYrvIMt/aj8EAmNKiMHO6pLKmIgn8IyIRaBBmlLwlLiA21ZvpfCnxj8Q+rF\n",
       "4rghEuZXVoK2g0jt09+flOYo6BJAhHhcOc2vJqVRL8H2wL0HsgK2Lsddza8M/AXcAnoKpjD6t+ST\n",
       "5L+0gdGgvTOPttBAKOIjgfMoNAW/3Tu6W5/9v7A0CFFfhacvszAwqjhAOH5rEtN+v/ViCtt9M4Zq\n",
       "6UgMWEQcaeXVXaLsF7AZjMac5wtb0CvyXzi5enzh7I7OrhQ3ZE1eCv2R6cPb6byYBe9Ebkazy7aY\n",
       "2f7GWKSRxQeIEuBYuvwEwzSwOZ5b08G8sCyG8P7f9yILBpyPLkc68Y1ADTVxGkKmCcf5hfhr65gG\n",
       "PovZVGCKSkBHKinIF9NMl4dMHwnGbcY6SQW38P1//2tLSK1fvLge6ub19IPXBbLgHNomWh6PRKYL\n",
       "XBCyKJS4p5eYZCR8kAaaf8HtXWrbBB6AkZ4R4Ej6EjQvAq5xM2i35mB4hurJRUkfHxVJu7yb3t6i\n",
       "KwWemMJTnvcbYVtj5YhvK40QODTi25JaBNjofVqjnQ9VRV8j6LRleDoh2Gt+jw93d5qaN6lG7PuV\n",
       "TFsOxhfKpRRmq22Ogn6cDzXfzgaxcanrIm+bJahkQ5M8rvAAAAJ5AZ8KdEJ/CG2DigAHwTtalrv7\n",
       "GN4OaBtiEBLQBgOKUr7pDGzEaSeIztZuKOrANbMkiaq8FFO5+IeQSOnsIclJhfGEqrBShXfpu8IM\n",
       "jLVywx0XeE3/ro93XNVs4x/yPt958TR3iq5a424aj9vlcFLWOsgD+3Bed8Ef/4CPNDtr+qvKueDM\n",
       "0NMmHReENWGC+w36lYhy9yiD9XF7O3iqL3DZPFMI4Q1H0M6Qm8cf7oP6tpvV7KQSNi3GGe0hN2fs\n",
       "JCAMjaSky7VCjUkNFcxnUglkgGD9Ge6pce8qU/VVTx67k0ISjnyPgob1d8VsF/un4d2oVlO/7ob0\n",
       "y5lapzmdHwKfOqWoYB4YRdodPVTI4d/rkV8/7RTEfxPx1/mfTWLaTfFIU3MZzdDqLt0DxcrGwSxG\n",
       "lECetCVtXH3ViQWAcU6JcoS9A5poI/uxUOBcIWPFwFzxjWkJXFYg87qQ0L3CjCVsL2Q4qNl16lQA\n",
       "XVWhSaafjuv7Pb8r+P2e2/CJW+9WbCgMyzDw7k16bpt/qp6zkDzig58m6zgqDajRe9XDd37/C9nH\n",
       "7iPgpCXLnFLX+MYRXnusDz0bAL8HzM1T+c9GpRZK3PbrMwKILcF6WYlPwk54YNaxAOxwMdsHS4Mp\n",
       "dZQFPl4dVNhx9C+99/CtzKD7z/5cjJAPKmH70wjXAF9TZEH8p5WXoGtWQx4gh/xgYkBeZAR0B4nm\n",
       "/lujcNGVuIIz86uT4F5qbm1RqlVTAn9Qwi8Q/Ncl/tyVnb5FGg0SaouR+D61S/HAs1myBCsx9grt\n",
       "8t8RFPO+leNU8yTrghloOhYS+W4jS9JkjuX/l/uw1aK95sPQoaCEPvqqDeFPAAACSwGfDGpCfwcs\n",
       "gZyACdvLdnENnR0aUy75zW95mF8LDmfW/cHTZpohIFk5/0wmwU7SEYGPN9td4ETNvbwABkwNMYwh\n",
       "cYRttJBX4ed4BMMH000mHpGmZUedWan5ZdvYL4tNvon2pXSSigwzMrru7AIIQ6/slakltmF1HpZT\n",
       "kPbwWlNLrPN0AGNLXHyf48D6P3OghGdBne1aT37r7dWZi+WkLlpmV1Aro4rqTWnnCFEYpnN61MbW\n",
       "Uparn8ESa6kLEfp7dOBdSfvHxBk2QCr0/OvyvoD4hpQ2YBC6nHuxoW2xrT+8yRdMGAz7A4PEA7Q1\n",
       "ApUJ8F5LdvkVlMlGXEXPVgfvlaz4I4YO0Hkenf66hhZMIjtykOVwg/Wx3Xe104bkyXekMhWHISLz\n",
       "j2ICWAjywcoOsRohAct2gmosDBw/Eis6RZ1+BkmsH14tPNnvwbL7R6FUmHVa9yJtpJL/hwLqdEcc\n",
       "iiSQQDxRlDSOex49Ms5V7YuvHUoRkRedbUkJq2aK+c8b+qZC4oOJd2Tuf/yTZ5T0tUoZ5L/TrEpa\n",
       "f6c1e0xTjvhA2KS5NwC1hF9jO1SFxbYvWueYaPLpfhVY2P9Yim3NNe4FNbjJfu8606/fwe4nY21I\n",
       "48OvOxNVhXM7dP5qnHDk3OuRf6HoNbmV/ic+l3aH6wzRxjn1PxkzJV6XWb0bGnFmkQbDS+eiix3/\n",
       "pGPniw+pQwhMLtlFu3PsxlmBapApV1AyQzTLpYD+iad++bY2Zq5LtD3cbe/WZ1Z4SgYmmZsTKWEH\n",
       "S9sveB55OL2BAAADB0GbEUmoQWiZTAhv//6nhYlB+yqxAAmIbyfANpdrsYf/r+jg/n6o8XScE/x8\n",
       "MuynaNclHzqBDMlfoudsofLLhnCogl7K2D/j9X37l0nZ+GAC0Ifx5sx1koItUSirPIGeeX4XjG49\n",
       "hqOXR5XZJE5Cz6v5pIq+jRgftjVjJzvnx/REik4mK8mAd0zDKJ3NqBQR6Sf1Ej9GpOJnIR0iCyUh\n",
       "uR2zBwpKJ1cXKeFm4BHJo7qRjUMT3kRdP4JnpRf0uHwwu/lKb4nLlop4EVJX8Eti8YM6f4gALbIu\n",
       "CULPWLzVev7KauiGvUIAYjIYrvJ1zj8PQZfhfsT3oS19QF4PsQqgYlr7Ge2F0IbnZ6edW/tpGZ/9\n",
       "8ID0YzWkhHDmqYbkYJo+gRvdgvsyE5PjGYf6k0rOw0SSn9BSM0v+F9KzMTlpTqMW2udUVU51LYap\n",
       "kaUsZIrGB3UlZMLa54EONp930Q2THJOKIiMXu7FhH3gGheNq+omZ3mluMZRxjjsedf9sfvf96RZ5\n",
       "OkcAIfwd/kEnrUx7WRmy1mkhV474NxsUZPsOsydgerQkWwKXZJvG9b0pjEC/T1HrcC9qd5QxhYl6\n",
       "XrR70GxW+ILf8DlaXpZXAUjAexR3Jt/RvBKAp/rPWitL8IY5Y3ihYKJZGCpaO44vwCbAWePWi7j2\n",
       "zqqvqX7ted/kwCwadPx/FhqJQcjkzNtRvN9rixo/DSyQGlt50ut0By6eCaUtigrhd7zxt0D1GjrJ\n",
       "N3buCrqfvDiEvXQlSl59Wqg9bD1D4RNnR00KeooyOM45UPBJWcYQ9L3Ul4DytcSgOoqp0jDfQv+Q\n",
       "0DIvGOi/bWzxP2cfkubV2g+LySG1YsW2PbOH39tQ55s7x64fDIEZEgUlWOzBUeAzTm1PsNnO3Lh7\n",
       "WsGmPZMtifwqEV415zEe2u4h6KhjY5HYsD3kEt7CrPSbHk8xfimjJ72OfilWqVtpLWYHlQzTonH7\n",
       "oWoWg/zomthlIqhUFwxrRlmiQ6VFHo7q9tVf0QLysEagdQ7ODK0yrif2ppqwsjMAAANOQZ8vRREs\n",
       "K/8HGlrqpkX7hmi+8AIB36zksuzr/U7o8XFcWXA5zcpwMa/jB5tqsTyVLwm99MVRCVZpCIEFUnrq\n",
       "CtPKThbkosAkNq/C3+/ADmI5o2h5Za5b0d+H365cnayBhm8ykkicL2evFem+z1Bgj+3bwjL4HNaw\n",
       "6XEvlBEQME1b1JEZntJkuLTrB/IvrNjlZZkGtbdPcSH9fr4CoT5BBq0rwsptXqmEOyjU5V8tIkpy\n",
       "1x49MRgfEIigE7Fp4uAe6hZucjFa30BU1UWS8mssLkEAzlfuqnuy7xOAH79v30j7+AwRn8GPpj8V\n",
       "2VVIwS7vmuDUZfi6CqhOdXkqwaD7TymVlSk1Qwc5dlNZ3oyu3SwzDynbIvH+vIPGqinh8oWCUT/I\n",
       "HDSOWkOvM3RPGAbvqbuzizk5PBdv2j+05+B3mEv4wY30hRfHW4Dmr0T0xOVvHv8vkHPBE2v504Y3\n",
       "XUnCGwDDLZZ/i2mD0k7AOjXGRsxENOVzWFwAHFEBERPP2hOzbKFtdZ3notIWuOL7KacO8PWsObYz\n",
       "gKh6WQHlmVpChJtgeHOdKu976fu+IlvCmtjiUp17bYXRtl8nJ8RDJzgZP/bK4C8RMaRtAN2LUiGr\n",
       "bDCsrd9OknIatMmlzaqZXSu9mTrhp2XB3OZniHNK6e5OlaMs2r2sUkXbewzS+OxRmgq7sMct9pB1\n",
       "q6ySFRrF7YBlKvMG/kdBid9+QayVdG348Oc6dcgXz1y0H4hsMubTmtgmIvHDeyPGqf2JcKMnxuCh\n",
       "E1hBoEY0zVsstq//ZWQQ/K8G13lrL2r7zrCKgwo2CAs1b7iT7Z8VwvgqXOL9S8j4SSaWxvB5eeQj\n",
       "5tWwW5yLhqYBib0dgjYOl5LdQ74BtPFk0R42WXQ3QZWJ25s9V4TADVKKsItbYPcgLNVzdFg6sT3X\n",
       "tO6TNHRMTTFaCxW1biNm315XyEKuqFNhqZDL/a6DAOcbSvGoQQwEsUKW7oYnNxgpERYGjFwUMwQu\n",
       "3N44iD9vJxsIBzXkiwSbuxJcyz7fReO/EaeJpfGWMfEhVd7hbBNPJ235uBPvH28cNZT/+HfoKsY/\n",
       "m2xK7ISp2K2Dt4gKFREd6Iben4hFJCfhunSuwkFkYVU+5FfIsHEWCkMRAAACeQGfTnRCfwXGwhdA\n",
       "A/nbm45Qh89M06rFqsq+yqshAgFui7OzEhRJMzyVGX7fpFCOw0Y9gY0pPgo0rHQ67DVRaKpQeruu\n",
       "TTUrBGKE6VlHs/6ec4aXkMrkcngIMQS6Q6GQmaQ2sLN2FSnoUjkO+kVhFcqYyc3kkA1raeqQsopG\n",
       "b4xgBKQxKyZ6X6/0gjb/PcTF1Ju4qTshGu5jVOmQqj44FzOrEmUY1rqkfAEy/+rv05w6+/Vhk03R\n",
       "mBQ1SIfwaNwcCJhId+PYzTRFbhG4ppfNf6AV3jlC4WwK15y68BmXzbssn/34m6c3yY95dWo7zdGh\n",
       "BAIi4PNFe78V5RCiDh77S4xpGT+uLMoTvsvZDpHmHoY5Y/TvHoWvX4hM9RqQP8ZTb2j3zDdaTDwt\n",
       "tzD1cEg9rwqggRYdSFtbBfCaqDqPzQF1N1eztjRjQxeFFPBI5RrBolzK53O9KjJoHQps+EkJB6M1\n",
       "3gqq1J8UObGe+3Joeioq6B6KsBM6HAWiJfCMWpfvIxpjb2Zyv1BuliVrZYROhv7YnuD8X6brjdMO\n",
       "/ZOJQ6R0VXCf9dGFQQxl1aMN9He4O2fuIeXfaE7iGIQpRP+AzCn421J8OiWLXjr/H6KTuBgqJsVL\n",
       "nJHAe7FYtN8TlvhhGfmeqdrjArK/HzREwonjpaa4t7RymqdokIhtiJOm6bCzn+BXVtLfg0xZDKhB\n",
       "rA85e6Zd9LRfOtTYzAvwtavW107W5kUeqM6LKnS00qCaHlErC/0MWU4cDAiCjPCNBjoH0IexKE7f\n",
       "NBiRaXmH9BOAQ3LnSG67kCka5ZEaxSbZMuvze4dbUMT4xdRyLJPpWKBh0GC/14uZMlK33gAAAoIB\n",
       "n1BqQn8IehD6Vy9wezGAAnHO/V9ntdsAghmqh0Z37xCfrudHveP1hO84h+kO/p/xSzNzY1e1V6cZ\n",
       "DpVw5Gr7ACcMQ/ObdPOLjFxvb9VPXHSDhloG3R0qAWraWej4Y7VsoEqQyoAxNjE4g1jfdEQ7DOxP\n",
       "kPD9HBo8dWPdOfc1SDnx9UOXz7QrxILDSpm7gcWHNDZsi8+KDKAgG6znALXEaRCMyLUgW1VGV5pi\n",
       "uDgTU6CZbTc/zTkM9VUdrpXrdQZD9Vh9oUpc1N3AojN7WK6nRo9mTUrDCzYGB4AQmiN7Tcf88Gbi\n",
       "Q557cGUpQcAqWT0fbpm0N43/FXFip+5uMoHRmUKDCsmaz8pFOB+64BVPDZNeCHwxcotSFRPCqNAX\n",
       "Gf/152fk0Tg/bOYNP/8uCaE0No9gtEwlrzfscISmcpVwpne00pi4og4/cQcafYiWuV3LP7guHWsG\n",
       "JqpsjV0M9uijJHkjAeaIT+PzxlY39okcw9Ts7sa6DXsgqq3KiuKKOiROyjJQa61B8LYqoHJJy0WG\n",
       "HywQ4qgiPJs6lpbty/87sszaaVJ+NG2zZg9l5HPTGCtG8PplyR0FR6UItSVQGeeoXhTpbW1UFvmD\n",
       "QvUYQTOA9n7mFKyObXKjIAoWdNr3CLBhwaTrhhO+8aPXgvh2QMU07zOhUaBatE94kFz/tady7gXB\n",
       "193bJ2L1w5R1dcSOJ6ILJUDIA4YGy07bALbZr4pv0meRxPWTkkw+1szAqv/zH3lzbfSXVJKTePx7\n",
       "vRtoSlu85x6bWHWd2HP0DJo4CVVmLIYyTem7oINFjb6koYEHfeC8jgVtwMcKMKYgQqwL3HaSRcGC\n",
       "jmW2I7m2DVnjveU8o1cAAANkQZtTSahBbJlMFEw7//6plzzIhUAHCS0rjVahdh5LTeHzkpVPEC0l\n",
       "L5X1+HV94peEEEc+KqxUqaj4T+rUk1O8z8RnVE7r75BPCIyx4hFoTblK/bzklE/G9iuVUPmW8NmK\n",
       "PvNh2S6CrUhbzVyI2XORO9ROWEmPAmObcWMC4xjivQZdppbLB8D+hJddW4zsGL/KHjiCl6+PZpVW\n",
       "jnbjjXwPIwdamu7o+x5Aq9Kw43octznjh8bltlTsGGIj7qrpLyUotHmVmFLyg3iQEN1yYplDZzuF\n",
       "SM+TWkWNknYo6fLbLelmrXNygEkpE5iZYwtGDnWtsWutXuliwW7XN9uRdD8wi9o6SGPSH8+y18hV\n",
       "q1Gb5CrbdHnqVSFDSz0QLJhP0eGNKw9rGo+Nbp8rcx9aJHfAe5hA4J9p+eeN3oJo5kv+WRLPsP4e\n",
       "18FfLSe0clwK/he9STq/4xW8XSZ5pd11wNd8dyPpXgwBX/2pYq/dmZVhohiG2lHtVBgS43tcqS3W\n",
       "yiJv7hCHZqaD8dQRlb5fQGHUOu6oe0wiL+MdXW6wp+TaG/ovydozMqMTYQcYV3Kj4/nN7jjCd4yr\n",
       "U3/Oay0+2zW0w+fpdJkyoNenEv8Qv0sTCwweEU+smfwltEud+LpBAv7ViSzm/0sm+bwMXKBNTiSL\n",
       "LPYtf/7vfaF9b4Dked/xZZINsAAvVt/reVLf2t8e7I6Q6R22VSDQuTURaGFeeMmQ2igyXilJSWRM\n",
       "7fdOerhwHrWui1mwE+s33Toczcr33I5Nm0dUgcNUBnd8SImbS+O2bTwq0zUI4057YZRW2JBThhfk\n",
       "r8XjQG9kdAZekzD27Nn3eyAfY7EjPSaoEtJuuue8zmOYVEcwGB1wBDoCP4Ddmc+rYopTu3pgIdqF\n",
       "Z0BGUwhet3fgvmQebJ/6DC9C8H+G5HZf734Tw6TJa/mavHOmJY5rKiKxLcNZpmThGAJOYWojw3/j\n",
       "GmUBvlNevwva/nYsIeS7jPJa8V6TuLaPo3pLhNHBWUWqlsEJZSnLjdFNvYV7dPFTk5M8XH0yNRgf\n",
       "LlgrTKDf7S18sGgSLbYqq2xfqTQzzDOnUCGkGkyodVu2YP2kqJ2ZqzJVHLwLzMW5wDs4hWTi+ovj\n",
       "CRO9cnsORqxJAt3MHBZARYC1CZaH6XN3xx4pZvoagQAAAo0Bn3JqQn8JP3C8i0AB+I4P6Cd+uZSh\n",
       "rS9R/LD71/IWSrLSenWMNh002fVFib/ETzMACthlAe72cjkAU9yah0PmZfdqfurhfqNNZr1NUksz\n",
       "nbkjQxOB9dknMUmlySeSlharRccMw4uyE0fwsaw5NjgtosWMf58GN32Mwqz2VOcpJGXx4ZaLi0fc\n",
       "p5zk3GnoQzf/rsoPV0Z6ijdk39LDzt/PzhwQ+NVHUFBCvDPpzHuAuRRZdYseLyfW9EZw2bJ2RZJL\n",
       "nvrJ/fft6+yoKFgUcfYPRDtbO01YKJXX9mZCxg/qN9/YGZG7lXBGNjqYGWKcpw1OBX8/QakJfgVD\n",
       "lEpDZglJUgvUju0I7WrV/aXY+HfAU753MEUcISzrQ2XHZmbRBIQkz3CvyH03k3h+kZUPRldJtyJr\n",
       "vxf2VBmevCw0WAQWdRqfljZJ8u1fYCVNcnpU1iQwblbrDFUE9aoGByCCepKBOU08Q4nJ/DlijEac\n",
       "Kp324sDW2C05wWaR17/PZ7tgEmKD+ouTmvcbtuiqLjk8BokBQbx54N8iULQE/hE5ggBEHfHHQuTQ\n",
       "itIagKqXNPliiOJhLpGRv8OEwNEXfCNIzaLGz1zePQsEzAuXLpXex3vQ2zfy/6yR4zfaai2BNvy2\n",
       "Hny/YoRrV0T0JGk9IgOHFMPPQYFYCSL9qZDBFVYR/4DW2da+EOKnNrs84IIK2IgdFNtmvGsRY+Tq\n",
       "aT5VKn7pGRkrK9osFC5X2TebFS5Qthwn9P8yypsQR1cibUdiPg7UZH8vfq+v5Nbtxw7BOvjYZ5mm\n",
       "mlOvnbfqVy2bZ/uYgAUDccjFGAXq8VBYpuXO54VhP3H2uy3kLmNDsCDazipUav2PCofjSH6u0d40\n",
       "aHfpRAAAAzlBm3dJ4QpSZTAh3/6plzeLS4v0gHm/QAKjy2MN0Hm9QQIFmqmLv+NOBv25roHzRnNK\n",
       "4QeKyx+Qs8KB+QEdn/vMISabNFt1vfjW/MdB/s8mIzWdCNXV5+a9fJF02u0eTJrMcBRiLVDDCWvy\n",
       "nwpNkoAUNFG38TxbRFqeo67PSy/fzmmtKlL5Bcz34UpsIwHq1B3vhcKTxo0soisgjJqE5WzvM7y+\n",
       "/SM23n7t5ZVuxn3VDXyshiMltViPD+48ENQ1fPLfRmRfAmDJ9gSMsANpFGVs9qDjGZcp0twln95l\n",
       "VzkY02dyNBd3iUb2Aj0DZrAY2E4fY5vHrDxjMDgUwCROqVEY++10nafGysedcPf/t3bp3y+ol77f\n",
       "JxfgzfLcDgs2krxeHoDuJISAUfZrqLx4Uy+73ahDKLP65FHGxyraYlxjUyyyqDIzl7gXNdoUvH/D\n",
       "PqbvIifDYuZBgO/e3avJIBzurDdexl9T0+40tCpGKtjaxRZ2U1R7ZFRDsEkRgUQrCyUmRA5wZzr1\n",
       "LlNoRf9eeE9jyhnGnQEV/SJZrTgDdsCPaHbMDCZRWKsj7Ij6kkawgn54FFtztGuVaN54hsH5eUDK\n",
       "Ohg6sE20n7UeUPmHGQbmHocDeCrltJb7HrbMmqqZCM66NKt/5G+cqgK7NE2/BcjkLVAnRDH5CzKx\n",
       "OnDDIVq7QAAwzzW+Z2oRUpQOclbIrQHlbtLYw99J52Fs7ZCV+dDS3TP4GmsTZIgkObHrx8ebtE1E\n",
       "A8l/31E3oeu7ylLADAWzKLzm053ohu5W9MVOK0UHzBtshVuIGKICDoUG4qDMIsr5TXpZMKlcLfoM\n",
       "dX31YMx4TymxGMitcJiRvOyglFG8Z7RiGBaZwY0CsUgXxuWxygDj/TRcAxSj4ZZzT0Av/RpUhJE8\n",
       "58k+0Ef1aTyZTWOlLPA9RgOril9tbmx1/fKsgjthhZRmDK7WoAksB+BPAqjWfiCiP/rzaVJQgNkf\n",
       "LcLmrpDxTFd40iUkenpQrZ7KEda9j9GnxZLVJCrMh1Z8VpcFCXSygfV7ZJRFBVSa0KUaGWcQBZbt\n",
       "tJcfrfiqpDZv5DoHJflUtneip5/SleNKhyKAJfMyzVykBywAAAM/QZ+VRTRMK/8HutCAUV2ACG80\n",
       "8YBOgbiOY9zvERSTgmijl7+odSf7QaWLUyGwt1y8qGMYfy8c186RL1vkPLV3rjWXB2wgM4W+5gTM\n",
       "4di/eyhyspPnMaEAEKJbMff2hbiKlfIg406AaNdC2weArD9ojHhq90vxjyVyPTPGZKeo/ZJSZAG6\n",
       "JOy8TDngRbU5hN9O9x4/Deadf8hMCzDYR64oOpBfBAU6L2XJ3jS0EoV+AUtJ7VpDZQichBPGcRbR\n",
       "meGF8roc3y8GN512oxZNoJprLT3w8a4FmasQF59gl4M/rUysGlBOLa41EPuU8tCmkahoh4Rv0dS/\n",
       "zf4RXV/TjPjaF68jYMcP0X2PQJpks7si+lk25QzjuHTkKq/omYimhQ4FwP4M6zXvsaVMeilguz3p\n",
       "a5mFGMX7U1/mUMqYksKrDFDlYnE4sO1ulHO6Z07djGrTtPRBHcocRmqz/kYTqmPJxTHjPgvgVTtn\n",
       "F9guV+aZdhRf1uSmEptrabyde68Jx8htHPphK8tpuaZHhuqkjdfe9iiUa42YIe8TDRb5JsICj74n\n",
       "uSu6yrWlEUY/m/CzjgJ0EiqomkgoZ0JxjbD8hzAayfWciEnQCLLoyWZjWuf3fj7iUkI+4omKODz6\n",
       "ACMo3kUNHwFes/AE0XGzRDP3yJlDkfYESNAiv8NaBGy+w6JQB7XQp3t22PT0PLtgANt1hDG4wiis\n",
       "8P4K9gvQxNqxQzjyXy1MKqYCSzxYKVEOIh88qJNQzWteCZk0p/qoQtAIO8CbEz+rv7ktRj/61zxo\n",
       "iQ9LH0bD03mVvFKs41BzLcyks0UhruNnErfbJqBnAZVVIR8NPNnIcvf8yvIAk3yKM0L1UkktxDMz\n",
       "gzUxNsINfVTSurb+2RnzzG6is/lZ2rh/AF0EDGjgADO8QaXeAse/9fNn2c9euYwTUwj5L9iXzRvs\n",
       "1wyD0V+Nm6gpybqO+XH8XqgOCORiLX0p95fVxCOv1T/w1o7YZ7aHxJdFXjsMZ0ze+6Lpf/pbKHsh\n",
       "eYfyN6V/2mNxC46zyQN1xHfGRpUCq9FjX1pKqaS+2UBvvrJTnaAedCYtyif31NOmPs3/sZ8Vef5w\n",
       "IlwCleWugiT080Lgm2RVAAACVQGftHRCfwkxJ4+yQAHwTtalrv7Gn4A2Vzz879h/MBPWhsg6onPH\n",
       "q/Z1+/je8htI29fwA/gUtzYbFf6x2ErEO9nEN/QHBurzNwT5zSVwU38uB51laNw1iRRnUgheDYvY\n",
       "bht7ekLTfFVLrq4S0eLemNEpgH2SMkGkegQwSfaB/2qnwVUaPpoQeHCmSsf8Xi6mQetQamJSeScy\n",
       "/vp0Fkl/jcL0OlBXCPW82pH/VVTBIh3Yjx8rb47MNWU2qjczO5XFIOEPmRPd2AKM9VQFme2r3ZgE\n",
       "ER36Iw4yP9kkQ0/9rUenVtJS0/3cT4Xh7i5rX1zyaKaAYqUwuhN2wCybDLEfWlflau2I7SJVsXZG\n",
       "+TGGBN9A5z3jyVDsaQ/3NSUDbAiqkzS8tqXXRTJxa82kPd76kayA97OCv08tx7fvVubFzX5Xy6HT\n",
       "N1g8+yuScVpHg4h6z3FnWrBd000ZnupJAY0DP/teEd+I4EuxMRiK5YHQ8GHWnzuasDLsi0JnPvwD\n",
       "v16c9yvstqRIQjoo67K5NZiPx7mn49bwiaKG5/1ElAX84D5YBVXvtlvVX0QQQFJ6L0o/E0WxTTQS\n",
       "LC1Oz213JE6y3jaxA7+iguDXztiNHLeSB7nEmrnVJqen3SbA7xfivoHo4c95xXYK2uObniC6es+C\n",
       "jqdshgGK6X8yKoYqLWvyplixLSZIzSl9iwXx1ZBf1ga8PMHE7yvg9SIh/b6LYnwgbfPnFjpF+dJs\n",
       "GF5z/1cyGy62K4v3mE2SLXrjstc+IaNHqRskjZIOBlX/+xezcHwPbiYhyUwoQAAAAzIBn7ZqQn8H\n",
       "LIGcgAmdp4hmlxdZQgvvrem8D+18HcCsSt/yDeFHy52HaWybX1h1A0ASy7pfsljnz/SNVJq7wqI2\n",
       "Bz+9yv7LDf6gCkSQex3qmjHcKWqMeLbaHQuvTLjSdVUr35DaOJ6PyYE9og2DpdWNzyqNo5c3I50E\n",
       "d+ZnEabjX/YZ8fWZcvx23i/OoDR3XMCSj+YeChzxe/p2j65xqeuYKZkhy0PW9OD+E5fb/1Rghz9q\n",
       "XmBBPdYsZbUAJM13ku28kauocmDmKnQfgqtBDlx8nOK+YK7hudB+s8BxmJ7n8oql2jo0DX08tJsL\n",
       "QjOwqNvYj/AIFRMPcpVvxSdTQjydlp7sCc4e7byenGlfux77udrAkYHOjsJ/0j0h0dqiNkAiKoe5\n",
       "3S+4J+F8WT4I8PAURWj73WAxx1t6vF77FR6RN66vmHcV9pAoFInJn1VMFaM0WBlmlhOCKIXuIWfq\n",
       "yxLEZxPljT6l71bnBRn440vWVM8KuI6reG7AHmODbRXnyrueRIC0VvrjvOJYKKmhTpQeFOMiQ3f9\n",
       "d3rIFT2jC+TTakUu4Ib3zjR94nb5RAnOcaPyvHwKpGU3zmu1snBg23dSMt9T6GLsPKW22Kb4Ytgl\n",
       "9hT7d0KGXSgtjbN5FeiPB9HoMeNA+SgFrgvgVCz2rfZeyK+MUv3Do25V5CjZjnZDYkAgcfzmhHL5\n",
       "dwoluJioQusuuYKLG+1mGbeURcpV5Dq5Srl05siOMQeqCBSQKQ2WRk73HkDgsJ6LO3hIA+UY9EsZ\n",
       "Kf5MdQRlumUYx/xJ7vdbkuV4niDEZjTGLRysFFOvV3nnT3YYV2FIZkURTy7P2XRklsU4ayPAprQY\n",
       "V1OENPIiomrjHPntm6/BzQe9Fhj9u1eAsC7C/LEwh+be7IWJxHPq85aiUL8+bEwN9dfWzSbL/dzT\n",
       "fywVPOz+pt5AojIjZvKUIjY4GWZAs0X9wTWvA6ELCrQ7hSZ//nhyOZLFFEn+tMZ8nWIX5yMbznNa\n",
       "fHLK0pH+sKldQYQ/iDBbsooeXHEkvJ5hpXIi7bqVjbawRIGbx29maNRBjLGbzHrAxr28LE+578j6\n",
       "ZPaB6fTiFyDXI6FOZwAAA09Bm7tJqEFomUwIb//+p4V9uSACLQWa/3uPqujYircv1IFy5s8BAHPM\n",
       "QteCjBwDfhnvH7AHZ+eQi06mmV2xhj15suCqvGU5FmWMRVNSjO1G0vWjlXiU2/c0kllMV8iTsVhj\n",
       "NrgWf0p1S2S/vnkTwMXv9NW5xAxwmGol/V5iJYvlgrhBnYpFI5iuIC18/U6mX7s1o9+KNGs81uUw\n",
       "FcDNrPGGhpQp4I8D+mGXKVkgfRAyJeMkEn7yK3u3PHGw2HwqVWEN0C/u2K0CfHXJU8uJStlXOzM5\n",
       "v+3zqmjuaIA5R1R8mPr7EXbF7RFhK/3ybzbnKVI1UzG5UCq9UTLVSf/gza+NzBX3VaVIC525SS5F\n",
       "i9hokLmecduXGfvy0B67Zp0uUFM21zya5UYWwtJsS3TON9gNWIV9wc7xJJJ6/MQ4k5VAHcdOblxA\n",
       "8f7nr5JQcbLVVsg0WJGBXHi3nVugLXa0FsQLwD9eael2/2p7oeclI9LnfzfEfiY6JkJPJ3+sPJcf\n",
       "lAQ1jaWo989n4esPAQXJTNBWL3uOHfH1Nz+88kcIddzGtLluDnhdnUWERxDoJjaD1bLmy9iKR8tg\n",
       "Pa0XrLSA4vFwONVVvznC11UA3dmZZHj3ELv4jBJu6dybkPofPyY6XALytEAlUj7FJPc0FLotsXSm\n",
       "5M82uOSW9sL9grfN7LHRs4alUWE2p9brYNV8rCvX2g79TnkHaFo+otirh0Zrxm2UVFer31mQnLgQ\n",
       "GbuImn7SYG77klRpufcZHLeM3L+2QN0S3X8GQjLYPgQ9fzaw1CxwrpM2K+rKN+DGvmAYWDPgBUfi\n",
       "f893N7e/0WCOufKOUoI5h0bNk9fUd6YeCrgIsL/VCMpKOcDNZK4yhjjreu0gl8JnTZiy5eSpHd5a\n",
       "MPwgPMPD+Z/UEtDSlAc0MIT0BdGTC7fm5kEEHe3yvigfatTSHZabjI9j0ciSOH2wHOt5sJ0Yp4mY\n",
       "cVpnrsj7Q0SIWgwNBCgHkrxNQvT+GgytZotWpRcswkGucf0DfKjusHu2RBEor7UFz8aD/m4+1iDx\n",
       "QwItWphq9QRuarlnLRRlIRCn5AX0adwFWoobtPGD+M0vkRAtzPsDNQvHv90iDrVwL1bZVKJ+Sxa8\n",
       "Xz7QLJRxu2rxAAADMEGf2UURLCv/BxorJ6+nfd0ABDUiyqQXs8ttfXO+t7LFrnzpAh/eQ2Gt5W7u\n",
       "UVodZAKUjfbIv6DX3ljdfdZDuXy7+9wt8qK3rJ+NQ/UtmZueirPoqqzNeFb1asCN92cXvVpgSc/o\n",
       "EweE9mIZIEyOMjl7Mfs45fE/nKP9lTYlVt8g4o4XmWKuqFbdfu9LUUR40hyezVJRx2wg3uQZKk8C\n",
       "Q4+vtVlii+NvCUeoZgup68T9c2pMp/AV5eSBCS96V7kcZUllnVn5cBFPRrudyO8IgjgDLPL2HBmG\n",
       "3XXYfxDzZ9RLQMSDdju1lknNFhxxDmheynGw5AMyMClCFGUfQQANGD97xu8h4OFpahVZFy0eTxW9\n",
       "dSqV4xVtU0JiiDqZLPhuQwYgIiNSZ9aijUmMKX7WfDISIX8XOOU4uHOQi9/2oAXkbha8S+zbWX0z\n",
       "lb/YrjqVX3YyZpwh2TFq3NjVjvFgHSpzNkJjL5hSFrTPwi3wwuqA3RLSMP620GOyryvJ4kwyYXir\n",
       "W+Mz2yjzwGgDwPJ2YSxRfOhXvg4DpPehmMWvHMASoFkSP3NXucrry1SmEsNkZQxepLJqs61nyPmL\n",
       "wTIOfhjXRnIg8r9P3ibZf1opQotvWmj+Z4IoQMZ+j0Hyds9wT+FIkyjYB2UP+hb67TYbUsh/1qGp\n",
       "SvwPW1j+MvBaiLyWfuQZuXB/EZ9WBiY/3lXJv80w773xmYEQ1aX8KA4dHXwSE99ZgJriu0NGIERv\n",
       "Jk+TRZiHT5RRVavt6tULyd6UKhzxpsXLis3fGOc74HVmLyL364DLFUz7QWsznObgPBBBdT0yRNA4\n",
       "lQ7yrwFyjWfdiY2Gcj94dQdc/qJJZVA06nKPJMD7p/apXfp/wMaWv4QdI2dAS4s+RSCIYXiIXavU\n",
       "5WL+lFRiz56r0wUO5M6gTwYY2LdjKx+0mzdf61SlhDqAd1ie81J97LAVakZtmRy1l58RaKV51W+K\n",
       "yLYGX9p8i4Dxb45EQa+H3gSVLcp5ikoLJJMqoQvFGDutEsh1B9ZRHFZYmf7lE5dAKKa1lkDUmRPu\n",
       "b8CXWWYdwwp79jKI6Ew/++OQbn0Ngg4bu98Qm0pDQAAAAwYBn/h0Qn8GMrPs73tM5SUAHskOCses\n",
       "tvSAIH7Bhv2ZnMtXCnGYN8jJSWbdBiMoT3nHRvqr71Es1IuI41tqRPS2JOoQQBz5n1VThXUF0X7Z\n",
       "t3aR7RoQaNEs/f/92O09bEEdjK0qLwi79PMbsROX9Z01mdeYipF3hI2x28Q1/0ORQ+NV0a9yaFwg\n",
       "pu0Lr8yMCwoR49wBzit96W4gjlDC6L6KVuvDZ2PORSor9v6Z2EPBiKrKlqI2YtskIE3rFU5R0FOF\n",
       "8nskt5tstVTChI9Z1SL4g3ObuiKk/nGUB04RFecJowFhxkBYMesZSZPYsprGHwzLj39kB8WSl5xr\n",
       "sEmXkiaG2uKQFH75G/rEuTTK/QigfffrjYbNr8ZgLzuKuyOQ/Sb/q63aWa7+MFMSoIAxg6iTvF0w\n",
       "9F53z6w+jdF0jOi/f1SmIDsq9bJPB7i6bBOE4sdID/a8eaXv3XWrd5cvyXSMqcsnOqgiCTPEooLR\n",
       "Gdv0yX16C5vPgHEDVEh4YVh1iSPvWwWR8IiNv10VNps4KeZB0x6+tX8gY8mgEggz6/QZ83quFsbq\n",
       "B8wRekmjssu0yEz2CzsgMU8AMm6ilkCBVnnrD4vGxtfq1418xcSGccYr4g5ULqnM/2SrKz1iZbHF\n",
       "8t0tEcBlnx2ypEmqUk1JlbYhUpKWmJ6cSA6/uq5Yi6tUwwWBoOgq7HdwItw2L/eldmCAR/0868fz\n",
       "w98VuUEenmHRbflCKeTgNPb+o6NhBrY3EOuvtIuBRjre4+PXWDj/8kk5DuTgtzTpSrDR3mWi8PYS\n",
       "7tjMeEj585nvdj8G2OVH+nTE9DsfsYf9xOMybhVXLNbKInl+zdjJHoyFLZXTx0WnDuk6548fIf4Q\n",
       "/Z3qn7w9Jp4RxIqFObcULJSFHuGw4JG5PJ4zF014HbJhCOfre+5+Ier5kqZkFMzrlWxR7xDcS00U\n",
       "1s6ZeWKhmLV5AAPWNLg3N3pP5v/TE+Pjq5ATGxyb3V0D0WK/RywFQsvlL5NuLrm3+t0t+/LNpSJP\n",
       "NJS1X5en1Zqt/9kAAAKOAZ/6akJ/CHn5fmDwr3DKrzYATV290s5GZFp0uD1OIYFUSsv7TRXwu5/r\n",
       "N2mnXv4Fu8U0imhbDZyIHous/gN/eNdx38+CPWPTOZJ1Qx38TMlFjvFOxfEb+7bp7putc2UsSdgk\n",
       "A7Js7HrhxktIjYFeWUO7X0Iu1x3snHNqx2TPelJQXL5sKzfxNK6rSuVBMokzYskMdMoFo+cIJCGQ\n",
       "PTayoqHg3Avq5WkiTNvOPODNLeNMhI3RiS4U3xxKhxeY9BatB4F7kvZRfkJ/7KIQudnUDT0xq6bC\n",
       "L1qAAAJuD+yyGcYgttw2YJ9/eGzi+/ifeRmlKONBSg1iRQHBp9eUt2x9KaYhSuolYzPYjTNFgN4X\n",
       "Xt4dMkpF2GKrxbMKEOCTkRCvTo54bpxvKpRipyr6Qz7KEBcr6J4MRiUeql9ZRUMfRmIVDqrrnhCY\n",
       "k5vkmhjBd+EeIweAYi8mt6w+vJNp62ck8gj6UuikfzEhY36NrqHTondsaKGvwfPt/X+ZNwHodQdA\n",
       "ZpHC1ULYd5qGUdyZZIH6QSnGmpBnIj2F4CrQdNx1TUaF8g064UVhX+ZwRIeUR4PCJBRRE65FNQxP\n",
       "FoUz8/u00bwtz+7OFCFbNjaCcZw0hrI5k7QCOXRxRmzBTnECTXe07X2Uq0uulW8hzvoVpjmAeOYq\n",
       "278qJ4OIb7W8rEHhcEg1SY+h7vE60dyuyA4FDGcLlFWMBnrHm/UkK7YO+iPZq7VdFgV30BYaHtSc\n",
       "eLwyvg05vNfxMQkvGV6pht95QYRVxredfPvptXJ33hjS5uqMMCLFEUIU59LWjzbwLzgeY8hK//2k\n",
       "DZo/ZLlMBuVom4TrmS5Y7c8WoFd7vTXDkekfEh0tcTpQNWxrccXrjEsoAAADKEGb/0moQWyZTAhv\n",
       "//6nhYBM1FuAC1R2oo89z0vvEgAozPc20nYwhAceOajG0sngZ+f4vefm6/zBSfTrKPuxJ35gHdRN\n",
       "fnwhgTJDhgO6S27CBSE27SdzNETUpMaEdx2fqDSAi+M/cSOg90SisnFx1YqLPBnX1pn0qZtWPRQv\n",
       "nXQDFrL6t1NPtH/3QLmBeGm2Kynj2Am7L+8YKa9eDnAEOKHgzmtl10jVK1jaE8zNimg+ZQLEhtsU\n",
       "x4QWFcKJyFcH4FDIP7mTmYVV2ArGnbfaDFG2A60e42I9qoz0x3oAejaHJY1U2IFJBGoBiIz8Tq2x\n",
       "aZf/S+MCnX9qda5G0eRI2FWley1k5QZOZhLhw3AV5YPzVY8azr+tnaokebZClRrZQ4kY7eARrN/5\n",
       "JRfqSXbYdfa8ghWstYfUuDcwRN+lTDqRHPXGeebTUB1/iFWmTu7doedKORPmPDMpFE2alXG+tuCT\n",
       "RZYkVPvBnbMID9wUsMrp3ZJli8beQ9OehbqrVHIo1t81YRRQhuHj4/WN24sEqWqAC3gQEj4eUQeW\n",
       "rlPBG7zT9l4RcFBUaJbE8KFMWJTKI3Vb+2qVCZl9afwO31VDrrUNxIcH5c1bjAbGXsYMWRc6RgXB\n",
       "LF/L6QyAdfwX4VdFuWBT2HFgu//SKRCx7oyJElMDx5ry2pqvxXNiCyq+NbVshtHlSmqy63bjQOSp\n",
       "eWNWuMfN5TsFZ1eOhxYmQmSHovD5ve0B9uF6JERzfoXZ1Zmhg8NfFNDBuX8PQJouAnKpYpD39XeU\n",
       "HDu6GRXtN8Hzd5vAlABFrH/4Sgz0j4Q6AvbsBG1FLe97aHcXxty5k4q0RXXg8TiIkzV3SGgJP8Ea\n",
       "XaF7+nL8Pg5KoE95INF/Nu9dvfxyj5AEfHINHLI/NAqVywtHyHYSzW+6CKzeSu6/Vf1FgR1zJmTl\n",
       "+taKbIrM79MQWZ7bC8mtBer+n/mHk+BIx9y2a2gP01tLTDUwAhQfsn4q6+ffD17uhzFRNAlC4fM5\n",
       "QDQFvYRvP8RtCCMVEdvpZpvXqBcvr+mro6x8F4kMW6ORS7cngnCxvLnpsjnk+TwOvMd4TqOXYKEA\n",
       "AAMnQZ4dRRUsK/8HE2AepUd7hWyywAIRkvr/jXmk5wpgyq9tf9599ipjgmeWJeTonZALsdRP97OP\n",
       "PV2fYfLeYvOWOyDmVbIaLZgguvEm6jrU5uBMu/SsJXH/nJqv1oQI0Rhe6+KmcDpw0fgqr4of5T3f\n",
       "WySHnBxOvBe9xB7q6K2xnV06KcenHDpkwD+xxufGhaqdJTYXbg6sOEPtcecGc/b1H9zvfW3kbKLh\n",
       "frwPjU+ITmoGUBRyTRIKVvW3Q4iXNWQ3VlNG0UMXsqlsbHKiE9Uft3knHI+mVVwYz280BYmW/V69\n",
       "b2XX8X6eU7KrOweCeZv7OSet/uspvh/xBr0lv/gG4IDSSrhUapGulB4CpqWTj67YXDx+V5mhTIQg\n",
       "qk48tqLIVlIVwWQy4yzL0HsC4E1iWALKwcHmWzah0A2zNzCa6T5RuRQA6qExDlSJ4oE/EqpD5lru\n",
       "7K4WzI0COtZGB1bp4Y8AXTX/uAYzehqjy+FxFa3qIRBNtUTlz8ZDBS+1El8DgNYT2SXhcNGrvIHG\n",
       "rbiz4VIWiQO2Ur7VsGoZL/dzlLMY3c4UhbFXFg5OaWuAY3sJKsMl14krE40vU7WZ8cJnFoUK7NUA\n",
       "C2/EcbxWLljPis8lKbVieEgX1J8UKKhCi/Lh0N5IOD1rzMNptmmWUvOpu/dpTrWmATT+n9j5eY/S\n",
       "xbUnJtMJdl1RrcpSCf7YWwsvUzwK8g5EdXvkuQKcF2wW2icpS79TWf8qUvZuEb61XN92p0BJZAAT\n",
       "+gnoqc9e67PZBBrfzmavCo+cnuQG+Dw/LGWefgmnTDaHGplvMqQ8UquFRcVE6csI3tqgJ4MNT9LA\n",
       "R1PDppO7059TBWXFd9U1XYLcTaPCuxS4GuG9eGCE0EQOBWgbE/OYIziD4/QnRCj/pOWr7VqPpg0O\n",
       "6CnzjefXijNrPjr/V75WeKLEQrlbhvTCIi98tmYjoAq4tQRU2kIg7QfV7FGYePWomBv39C38t++H\n",
       "uyfT+BvpP0laHQl7Ety+u6XdBSi9YMH2e8EnIiyZv0ReMDHZGJNaUQXuN53TWHl8KGddgNWG5mOr\n",
       "FaBN2yETrMcZVc8JAAADBQGePHRCfwhtb4+yQAHlcz+QpJMDL9LHVC0cD5deiRnq3ezumcC+/6Nl\n",
       "X1on+nsg06xK4j8XczTvn/mN6xdh9F7+48QRNKhs81LObf2HaCrB02Rjxme26vHk3LAgT+ZM5ee/\n",
       "mx0vFFs2E/CPrWHXLn/eU7cJ6nJzPm3iJk4kjdxGESOpHLFxK5DRw+307OWLtUTFW73tN3kqKmDg\n",
       "XNiXTG7bnbhzdXHCLf48okWVbUeEZoPxki1SH6+bT97YQ3bgk2hp91EIU5KDsZ6MGnrqHRdkDIIB\n",
       "SbdIpm+ovs9W6aDP63uww8SCxFYCcFHcYLNel9p8Z+Fbjvm6s4cL4M01Y4/V7Y5v1omqXgztrDc7\n",
       "6CZNvVwcjshf9DT1Gi0s2vMXutOJ10S4Y3Zlz+yHBDVDjYFOctp6B1R6j4c86ZwJ9ExqKtK+PEkL\n",
       "JR3OFpNeymtnq2xwyM9VC2Fwv7lcFIcTsm1AQjuUvmhsYYR9F9rj0qxQCiycFrqrojNgmEriqhgX\n",
       "XEKoO8OrJpQYoSjE2GnWibK+7A7c7Kk7QIgAdaHRsOjKuLbrNc2MgdcM6GpXYIU14NwFhKZ3CPrB\n",
       "8BtFds8qCuuoIDtJzt/XcKzxztahTY1TUIwjz+wAgPl3wpAyp0O/By1tHaBoRwQihrYhSGbwW9nP\n",
       "6oc8upMGIJATUQclxdWNi8Ucwf0e3tX4YK68vNGAAwsZ/Vb6T7zVIEvOICSJxRqexQFt7GXtdJgi\n",
       "fxDx1jItzfIVFpP4mlTFpibEZ0ZC8cgAnQPjiOQUU8tkg/JZFM1XNDG7lHvk9TcVREJbv3DR4xaC\n",
       "5CJDxc0h+E+PULBEiC381tOlcMbrxA0xc0F/nRJTnn7mGM5s7JeCAkdcjsA3dFTT9c60C0wOPH5S\n",
       "XgSpiT45AnXAlYMXbEQEqnkcV1xJtfkmIrNp0rEoq2OCvnNjeaAkLmb/d3daIdoxentG+QXpN9C6\n",
       "9cZMAKdepWKVttnxUlKxfGmcu0rsr6/HG4QYue2/8v9BjefaUC0ezj1kiHH7xgVTAAACsAGePmpC\n",
       "fwhuWxKxK1OjvcG1YoAH4ql5D4vYpL7bIFk5jbwZQnXfvYXwDYabjL+WbgODSWimGnNTe8UVEccj\n",
       "fz67E5o1ocEjSNiO2PgX9/mXSnVDKbg0FXbftcpD0vtiBJlYGJ9y5GrpIqF1i+IxnP8TqtrjvqNX\n",
       "KGkbw7Z7deeGc8j1QnEA+RLk/BQ3KSF3ARAZrF2Gl0+PbY+HDN5+KESvrJ9VARO6adyB4hPeILlq\n",
       "S8s/zIOTqbTqvK2gAvxiEaFeBZv/FO7IyZRs4f1Nw6D6R+vT0qEej+h/Gz94/s9SsWpBY+FcL8bq\n",
       "QR4N339ZCbkV5eZfN1v7HEGnKIOE/GN/zAALwGOf2EYDzkfR3dFiqzf4hTQ6tPExm1/RLMjBfbvF\n",
       "C69Cg2m5ysy3BjqqJ2jnZVkW6xKRtyC4Z1SaBSK7drL7RSvEVyBIOUP1OpQbe4lvuowciMvzqojR\n",
       "nEkrSI6v9HY6gGCrfzytkMExP4BmHDrsAzkO4xhErKFg5wKAXyDT7QmMMpuPUwjS5G6bXl+RI2ye\n",
       "TV0K+pCh/0zDIswMvftGOGjcwemh/JP/C9b3QsoIAUMcjVoZqnb6lXMjwPem7TGN+MldUA4DwYYF\n",
       "SVcLUqQTan9dpXZM85Zj7KkwYJipclzQoc8ysrEcpDg8XOpQOP3DelZdR4JUHuRw5yjF38ceUSC+\n",
       "F52K3JL2Bv4JBVvXOOgWaehajR73LD4u+h0xmeSDRqxyoXr32lqWM27A0m17GamnY2b+j176Anjg\n",
       "CtDQRiBp38dusqfmOJDqSyQDUqoJJdhkKN7dMJk0InSfYHISPxhYHo6KVLGRRPfaUAfUMkp62ThK\n",
       "i/krSzbthq0sBfoLiiuSUXvrSrnB0SXIW0piGiIMRVK2bwD4G/aJPHs/ou5FVIqZqOaVpMQQ9IAA\n",
       "AAMwQZojSahBbJlMCG///qeFFxLP5aq0Y5ABUnoNeRgjBWl95fEHSDp5km2SauTX9i6O9uJgr+Bl\n",
       "0j8XpB3DQJsGppmLYb+Xof+T+W6KhXo+DIosgSDF3+9wZ+W8Mh8o6zCYKbtRirNlMvaER4Qn+sP4\n",
       "LvvNy48RERCdr2I4cSdjjpke5sbCdhrFmKU2kI5sZmFH+xXHeZitwdCEqWEu236Xu8uIR3q3VTO9\n",
       "TZiRJyanGyZNRX4X8H0VrtLaSBGocz8j0rjH6OOWEHYMk9bl5xALzbUVpZ9AboMoGZwY2S34lxwH\n",
       "mnEaunQbCE2Sn3raiEHcOENR79aGq6ojsVcRt+v7keYEVOlT1S3XDhrzPy1eJ6wODTVqZMIo+ITo\n",
       "BZW7sQsIHLG5Og/4NG+xdn8b9GJ3D0RttcPtBOH8o9VvJvbvBqjo/WTdlg4OZWoMkbyRkwcnIGfh\n",
       "oEXyY6sA9UaibyoRDdEdgDtE60R80EULFRnOEFw+S8KwfonRyHio60RT4DOIFr3VtoH73QV/1h+o\n",
       "zFvUjJWGmPvnFuz+9xt+J7lcZmenL38RvVQ2qPcEjV/YjWpwqvn5ttxhxetlHhOVAVKjGCMlYeyF\n",
       "YE6Ug+ZpR1CoUCsDMDIlSlS0FVXrrA5puDi6HTojBuLYiYioBg/GJs5jvrFF3xwbHUAwM2xjPlf9\n",
       "Laoskx7E/MHeA0JpAv4831WeguFTgcBMybFtBqQLe4gOAHkaVD4wl7x77ce1+f/jT+l6odDmISmB\n",
       "F0wlnjBAz9rxvzcU21mEenC+5wB2CCE/cCo0B4J+4d93UGuk/dEafo3vqksKH6MgtifPa5vu/Jwo\n",
       "x7K4XG8+3773cs5wYVFxRqbv1uXG9abIL7Jx9agrfGYwrs0Xw8SkZwMA68eHvVd7aRQNUc7j9K+E\n",
       "k/KaK20D68lbYwtShKg3eyGD7PasWzJwlsRln7iFwbaV0TDetW+lUD6B9FeoZaZcfQiTs2fRpjqC\n",
       "6OrKNbdjcdgZe/eAxLaGVKOEkOugzYy6UG9I8+sl4nPVgTWNYYrxjqWma3sGKBaBuUpPNqDS/NZU\n",
       "h7NBz2LdaPAL478bgfpnGpHyF2NBAAAC+UGeQUUVLCv/BnH/L3tAAIg7qcD7c9pTkmpGq0oqeDb6\n",
       "As4uXgTxbb0FCrsFEb+54X0hGcv5oMfPjSuzGZVmytn9Me5HoDKe5XcW1ER7WEvIBGCZyXPrJvyZ\n",
       "510WI/GZtAkqJz2w/X+IiQrFjC0cmgUngznNyXYTjRxtramtJWwSFzB2V6s05XPjo7AYbl0aNVS9\n",
       "gs1zVB4zFKSz1TGKnkmaTOLk/HpfWPP40uygmhvqay/M1R8N96MwiCdEV/vd7v8xh3uUEIEcwMG4\n",
       "7UrNoA0wr8d9yr0tBLl48Rgkdd6Op0Nz+swueeMXDSC8RO4eh/qUZeZ5aRF/q8GrGOSumHY+/MuD\n",
       "8DbA8PFLwliuzlSsauKlLPC+TLhTgAM5ky+/3Zqqnq4ayOVxksppFeJlcYesWVMRWXEJd+aZjQb2\n",
       "Iv7HIWGjiNwvUcyLK4/EybjDrF8S7l70vdtMcnCDzJcbiTe12gULc51gzTEuTgyDQg2MUxS0w/9L\n",
       "tPcjdkOzpaxaboBbNQGPhDuzWQ1jAz5BI60nSys7nrE/mDM3y+BAqEcfOqDEepd8mpUZVUrwbFLV\n",
       "Qu08rjAdcsGo4ZGkbEQabX9EUXkonpKU0w/ATY4HcWx4v8ZIen2aWXLZBLgQimFxI65nfi9QYIxA\n",
       "wmbydbIOVGPM13HqLJ4BKoGnUtXmU+vVhYsFjBejTkHMhv6Lg1Vp1jWay2XJbzFe5NM/1O0GIoFG\n",
       "7fMc961TYpcDI8UXInoQZdMkJvp+ckfSh2OfE+HSetLZoR3Vc8xd8Bbx3h/jVL04/ZHixeZ7W2fD\n",
       "pTDmUgcdt+hJRU8jlfgb5xI3lCZ9iQXsXNRB1OSDG+qqpEeDNrnIDfdTZ3mX/dhppctJvBcOI556\n",
       "lBiWOcF83URUziXBhsHSoCAOmDfv7zIhhCZqwkRA7N6sMy1Sfv7ClJ/gc/uOBxoWql9kN2/6ntDI\n",
       "KYR9/pFxa5Mcj4cpMOoUR3bhuYYjNfnzQACx6KnJk0Kz272OmIqI/tNQirtQAAAC8wGeYHRCfwe9\n",
       "fNKF7oDxGABOOVVX7vSbKHOBAAfVBj2z3E9LgTGrnvhz3pGUDFmQGUBLNK1yQI+dx50Yyft5JKug\n",
       "k8WlkFjMqp47JDncAPMgY6nZMs/8T/WkjaCGRYyT7aDhj83E1R5edvxjHcBriOdTKIPsU7fLorlS\n",
       "EPKiLUBitBB6xGOuXQak/ikt50J8JEUxlAMylwRGTUmDSP0uOr+C3QPfFsLOEvzVPGP44Ao12vP3\n",
       "lXb/dz8C6MOw1i2Lb69YODDlVLhhN0i8zCHesrlzfC3NC7+UPAnfWGjRZjIG4/3C6/7L3r7ybNF+\n",
       "yua0ZElovlOCMiRY9oMXLHNhPOPne0Vl9DIYGLJ9NI/xw7QlaBoKov3aEqag73eIqiaie33rp/CO\n",
       "+fbyQkE2izLt2RaWFSaHt3Y/Euz1Rk6cGzV4+hVEAfPUVLlXbhh1lCvYPge+WOnGOwxl6flWh7bN\n",
       "uU9G23w66TqKiTvInwY/2fLGrKizRMrThcXwJDV83H4AyZ3t3DQYduaSp5kiHcrOBqur3/UuADKg\n",
       "koNyx0JK6bAHiJdw5BC5NHHjJjY6xnEM1tRKBHOxNj9KPGhqW2YXibYvCjM6biPmlaPWTLyetu1B\n",
       "5jK1zG9ar7AZLxAnLrFlUGfaDoY1HszRQN6qTlhPxErk93WNrz+yeHrLDb0Mdgwy1DFw6AjW8jyp\n",
       "P4Wb4fQv8CU/njg1amoLMbq6BaxMHz0YEjxMFyu328x+8FKTOu6U04MECveG8Xxr9LnemMk/34y1\n",
       "I6EUjmiFNMkui+Q9glEEOHD8ljWctWBEEV9ifOk5KIg1/Qsj9nPLGBwhJuM6TuVhCHbCwAYs5M//\n",
       "tclU/tdqNpcD9Vl7NA7NThy/XEs/hwndoOR64H8Y9dTO0/9IsERjIOgIhtBBNP6Qm3on40G2YjcE\n",
       "r1MpWdXxCAgD6KxMNO0CCBMvt8j/2KSQR3Nziz6uMwJ/Gvj9ot85YNDq9EFHZu2Q9wfrru3Cz7a4\n",
       "Z+VdSD/ZAAABQgGeYmpCfwY0iU+LvAAE6kdg68H5sNfoa5THyONTYSUOPuKwsWfRYUSrLuawPN/L\n",
       "HdicJhAH6zqm51h+S5sWWBlRT+AST4JrKW8kVhtv2yluC7adMQzt35ZJsHv0NKqy/zW53jaLa/aT\n",
       "dFjRN2el6hWvilHwB/h36/2aTa4Im2si+5EAD0ISNDx5Hciy7xvRHLjIulh635e0SUctdKgzyzKs\n",
       "0QGElwCvTBNsvRBo3jwbhQRphaAhHdu13wZxhoWX5IT+5gp8TDz0TJ8wjFuNphtgN8KmIN3kiNp7\n",
       "pG+30szI4eo9t3+DWajBvonTJvCGCnrWKXHu1iXYjv2aJbZQCw/IBcmrLc2sUO5PzgSoq3P5L+6b\n",
       "nPIlot99+o63OAUYzlYWE8nwpOMu94sPNTiSsxx/JuXn+/SpXjg7lwirFi4fPWYAAAK/QZpmSahB\n",
       "bJlMCG///qeEzqvkAFo4VDB1BFYzT2E/nZDlJqdZDQdaRzkoCQZ7tuBPpqR3f1RYC6ICxNkQ1cpG\n",
       "85WuMSnwW1V/yU8oSoT1QXfNuxHcf6C7FnazJ9BhbF/DYBuV4YjdCBfSbDmknQ9aKsUsLxkFWTGL\n",
       "o8ItSF6HUvkWbiRFAYTU6wl8yD4wiXB648EyCsgzi4BB1HH+K6jIpoJ7KakUMbaExCqFq7sEYYgM\n",
       "TR5jFXUhzlBG+XbYtPJUBM1VmUCZXWvQ1I+n+6y0T7dEM1YkkBMuy6EsO+26buc/+L46dC+OnJDc\n",
       "X2ofDw8v71QyJkMjswwb/8txXzCIgu/2cjfPlqC5RvNtpw4thj3haivUZb3Uc+1we+PZ78/3Vxp7\n",
       "+GwsYxP+S5qr1bG1tOqXfSuGzFISZ8WinpALTalnOsKmohEX+IySng8m8jkXcrwvbEHN1DKftEHD\n",
       "1RWhNn1BCqAgFXOhekoNLyKv+2l1galHd9ByGon7TYRWwSpkmS6b1X7q1R4Oz8oy4Nep2nQBhXmt\n",
       "0eYhiiRMhhRDgsnrp58ZqJb7/RMynAscjQQxTd7Ct71Kewd2ulI1ODD4+y4G4aCgkayuxPxk1O+j\n",
       "5GR9aVC7tMi9AfyOquYGdS1iCLG5Cn0i/9Q7Nnoj4FDeBONA+IZ0pQhNiSafZsZ4DSCtU1PBR7pu\n",
       "q0w8g2M5ctqAZnZ/HS4gSYKqyirkj9sFW+f9Aj9Owk1VCwumT1PDE1X/92hWKMy+L6zLcOdKjYm2\n",
       "7zGtypX0o5qBq6rz8onACmVhlkBE5VOSt1h7SjFhEqn2IvlN65szJCIi+0q9eJtUOPWgT6T+UYeU\n",
       "zSE8Gtu53EK6GQ/dH+G/Qnknxw5bQijz6+ykWZEpQouOkoG4hJ8oV8Fz4JEvL31cfrJlY3k2STWV\n",
       "ibjDcd1xAW+NL1DqaQAAAv5BnoRFFSwr/wfRnAAbCP7xKR43SULw+n0stUHOJHevvCD2PxMZmctQ\n",
       "shsG6CJe0VhS74wo+r5wG/nROPrC3qnCrxqc7otFoOCQT4/UHDXEi7F0sA/slx38gx0ht8kHaxHQ\n",
       "ApxajpZ+w0btS/KVNnXyz3rmvGxGJvdjIPC7N+TW1wtToZb73WJh2uFYUMTYsl+5eFsbsXQ6y3Tq\n",
       "WzaQ5L7MWncahgNTBNG3IdN6OiasUISTpdtmWMirWPP9d6ayRbWyQbUI0HgR+QBtbi0+NhWcwsFi\n",
       "9F3L0aZXBZQkOohgNL4FimOyAPkuypv9GTbc12bCwmBl6GFGHl+zUCxpzwqCXLKiCv/Nmpd3P7Xh\n",
       "/nFu0zlVjrKZa0+PttNx0LaY69eU7HSJSYbFiXuSiFHwzsOBSwmWvgnD7SUVIIiSKEgnzrFgf/fz\n",
       "uHuBTIZe/g4fAkNKqKloBwRbXtNGkDhDZSdCroOYQhFXLJsvqdpa35JOTi8fSVwnR3/dnmtnThKG\n",
       "hyWWp0XHT2rPVd4vkKrFgWwvrEdcFb8FTLa4j4c81K0YjBfl2iZJgPLIO7+Xiv6t4yrJr3b2QSQ5\n",
       "NPF/dG+sf50w0iYTZvcoEmmQHGNU97CBYsGuuit9PLgEQj5exzQcuk9tXYcDPiMfCP9y+8IXLmPM\n",
       "Utu6crGPGbkU2qLAt7gyMENpC7YEOf/nU+tm2ZwaE/Dc74rDpgJcx6HQ/28T2eCReiXK5i4Kt0gE\n",
       "6jXqTFXAFuk1R8kebPQMaXSfNfVqxk+Gh7dK/wDUQUowh9XxjnTfj0n2Kxa4+Sk0DVlutGLp+8DY\n",
       "Vum2scQwDqB/t3SHnFfplKXGUaOV51f2z2hMcMCDyMp9BbzmpPQg9rGRs4lAh6c9l3xfWSYJEqIv\n",
       "CFaSEy6YV8PPTUzYmFBRQjX/+hwQjQtAvY+YraxkcocQLNnwZ4rimnkCGrGxPvm0fk3vE3RWIh+L\n",
       "s5JYWmbHBTBomOBwKbjTAye+boahltMoXaPsn/3/4/FE/w5UiD08G3HRAAABRQGepWpCfwk1hrpe\n",
       "uulVEVcpxAA/np+Nxh4hRTCOvy/uLZAWwmdTNZUWkMrj+4Wi734V/SsopQMqYFUuwC8aQfruWtz9\n",
       "nVeN+6N8/939BfoslQ+X2PIcIVW9iAWWHSgEFQldP8Ak8WIjTZXD8ydSPtq/V/cvKwXn8Wutreh0\n",
       "X5nClpAuZxFmhe7o2kRnRmLFI7VRZ9DNZGCMDm9QKMl0Bfw+rsV4IihLD35VWGQrAX0um7Ce045e\n",
       "sAxD/ZrSoAyk62vkKhyl9dcYNvi6adJovNvX4uycbF0uvY3T7XI303Bv6oS5BeF3ax0d4NuQPmPf\n",
       "qQI3doz3rZqBFXqrBwTWmbClHytUy5R0d7Ui35MBhFMkg0u8inv4CRndO1Joo0+2LfxP/Od6qs82\n",
       "QR0buln6fcVZFDw4QHpui6lsft3Sr0J1QcbKWkEAAAKiQZqqSahBbJlMCG///qeEz6c5ABao7UdN\n",
       "7nIVdnwXxByh9SviuSPHHwjthQEkAhtBOZIZ8rq039lpRX+HcpjUdyX5k9tta3c87C3uWJM/CgPo\n",
       "sjEjzIWoZUTKuf+OS2cn82RCtBdn2jDYVHzYliS7Jd77ANgxQ5Di6c3LGA0E9q4T/RcTjTpiXGaK\n",
       "kW7NyP5g1fA3lJdN/duiAduCiLnIDDGO/Gzu9nkm0kky6KQj3TW2JvWJvp4XKEfoKUfyRqnBnflC\n",
       "rRhj2mdjIOkndiBeMXrz2ZSUFYPPfPAFMzODahU7LhpbnATgV4w6G3mo6lXCHM9ujYid/Vsrdxca\n",
       "zBNlYJzygW07jMZp3UF99FRMopjthfyDeTJOk6sbyly4qjqZ9R2rxGg7wo3vAlPbZhvRG/6W1sH8\n",
       "YU+2CT+1PaYx48+fnTm0RLIWivExPVHyBzuYFmzKWkKoHPKUrA7CWfmEO2lbL6mLFWMLVn0h/zSV\n",
       "tyc38is/s1TFujKCcRFM76E8RMJ0eX5CDgla/W+QZ08Jiz5QkC+kCpVebuCXtUhJnVmjxoJLowdI\n",
       "2pbIWkHrv++k/DvQoDoFfLZeuCd4nI4glA2w1Qo4CMgNKPvhRq0L7KMkTYMP5arvv/doM3BKlaPq\n",
       "Nx5Bz1SvaaX/WRiBG9OkhepZLNx2xvV+OyBwT0vjEnlkv43mQaftbhsjJdbaN7UD0w2bVK+6cIVQ\n",
       "kbn+BSpYcwGx83BQvka8HsDFJ6NPo+U00d2APohcpJRQl67v+7vu5jsKKPkDoD1Vr+OkGaha6nXf\n",
       "X3hHP5xgEiDF9IiKReW95eXvcLc6ZNC1cqsfViNr6NTJNV5syYAT1kgQsfyqVY4UCOnYuODamnnn\n",
       "6ut+/cC8JPWMnR1qXGpsrXUvgW6+W4EAAAKrQZ7IRRUsK/8GwovcJ32oANqNKYZM9cJlD25CP7Oz\n",
       "EalcJJCUw5Q1pgzkpchBuDpq6mYOkMLcz5AwfZUf3E7DN3oUgd4WWD/GzKlgaeUqz0Px/26qWmjm\n",
       "TEmwloqEXctapcwntkMfAfNIwcfKryEhuGAHGiBTgKiBysr++laWYdwOE+TJKsPjvMhU81/Yc+2R\n",
       "U9jf22lAOljPG2EthA39KrFYMLvcUTnvo10vKd9TA3uFNZ3ovkG0NvboqcfRJU5aB37WDcrVpc4z\n",
       "Rk1GyTXZ+3gbVaQH+bZOHRjtCke2ylf5WuyDc36hM9pZ2T3hAjGpRnDivgsNbEkCPw/xvf4xVBDW\n",
       "6ja6/PYNeBMxAKy+Oe6obxpPT4tBfMzu3YWQ4EN3XRN33MZRvaxt0bWKyil+DWoM72kugQpCmd5D\n",
       "wzMGyjel1wdYBR8bhyvAj3VFo74G29/zj4F2QLSI6uhe/YeFDzoCBQXRP1ngoOkbeYq9E7zYiZAA\n",
       "Hd7tVBSNy+Sp9inOUB3FXQxk/cuhQrDtN5mfCZ4NQQiDxKLZ86fyfo3V0yGqSesrG3plhJ6nvfhn\n",
       "VqkPqlie4Uw+zpK8vrgk+ngM5kgpGABC2mBUi0ZlgM0VWEDUYMIvuHSx3zCNP/VK04QAWImjjUbt\n",
       "EE1c2zImGTPaoV0RIyOoIvgW69bdRyiEwfUJQ14gTEJQ/7A4LHpBcsNW4Jaq6LXMDgtErueV1N2n\n",
       "EKmNORghL/08PPbeK4MA9TTVfhbvYG2ikeaU+FSCLXNagdVl3f12o5p3sDuUA80p/WODagS3KP4i\n",
       "zQKkIgR5kj1mXKwZcO6gCJdDB6IjFLgFSNpX5rOVka6dKCdGOAMfXUeslykHBDQqaBc6CS8I88B7\n",
       "acgDgfQ0JvphJrLPrquonVbtDAUJCF8MihwAAAKnAZ7ndEJ/CHyh0aH0ABMU3BnGLqoaKSspZul9\n",
       "5y1JLtb/V11VdhTkwnuD24sp4g2wzKLTZl6w1TuilG+t8+zKyjKA88VZvJPiCO4RLk5eT3mDOTph\n",
       "eC6JjFVVwugSwDEE82g651CWbK70zi6gAPw4dC9pl74DhTOL3qCcYOTpBUyv2lF0FZn9utSIO70D\n",
       "j+MxcrUQfCskCU36sYRg3g9l0jNFxbDDRDE/hS1lhX7XJ5FGiXmB5XRrgkXT44jL1e8SHw0EjtUW\n",
       "caSGNM/+R5rKn80iRWNvygzx34RFxnvMInmqkohICXSotvY1LDANTiPFO6DCEgm8kqg4tnNcH3CI\n",
       "+vcnnUuxlQdAwBD2oHaygXhYMnDMmZN2hJBh4fQZMZwZStTOGIPsIJTZlB2I5AoAoFbSR0RDxTu6\n",
       "8HQjdeO0QELMFsgJRmQ0Ps/zUygk63JnC1dOpbGT/Mf1N9urw6WLqkefW0JnmqPqfBMP9Iivxcf5\n",
       "Bs/2g+TUcEjzlHKYBIi/6dRxQTYD3yrF7iwtXJtx4ZiJVUXHp8aMUvDFVRlkHqAdClmA5xiKhiqf\n",
       "fwyyrd/bvSJWVW3jtH+VbrSbvItrxqB/9U9EHCz9REHgcgSP5VWBYnkKICjD+oR2EooCe8MkBgDQ\n",
       "3juA+BrQXGI2yeugTsklkCe5SDqFrsmHhVT/lSzl5iWC7bTQFK5xrmF9v2qK0TYrZWs1OhtMMI0D\n",
       "tHCKE1TisYUdXeZMDbEBP0/TJXMf+6DnByDBEq/SlYuMOtgoNEdYVDDGJk2Jfa6cbAS0QZIH2/qd\n",
       "t7imyEwZT2otaDkQ1+VFQKJN9RsO3BVkJIGBIGpezWBdQy3TsE/gBot1dbXLMuefB+aB/0/KbPMk\n",
       "69wJ8t4hKhIb79PAhzOj09K5qavlKTZMSAAAAb8BnulqQn8IcUnbF55hdHI4nmy+/JwYntB/EdqF\n",
       "OOBUAJJWVq1YIHyA+5uFyFHy5Je/xkojk1I7a81DQqV6tptAtNbbEAdY4ImO2xtDN5e3NiseHFXH\n",
       "jN0SFmwS4+rgJtkscaqqqQIQD8RXdwx0P6hAjF8EG94+5zsSaVGiq+FF9Pilr6FHYuFn6jpv7Roz\n",
       "P4+EkibfbfJ9RKg7YTB8jEo3DMIgdJ1hmojTlj128yNHnu85Pdvk67d254yklwROnKgItaejw94w\n",
       "6CnVx9wg9gCcu0zMb0x/BWgZ1A4BL4Tq7Bvbs1osMhF9o0uIsEYcvS6GO03/Up7s0mBlvLyfXmvC\n",
       "5mV46/EJ4VLdFOk4cliNItDMTF/wbEPc3lYqv+Kswg14u+9JokIUvliIMCuTWTBo4VlHC7rmw/aW\n",
       "o/jP7Xthqf8eSrcBz5hsDQf0qYdumHT2XklZaaT9Y2pvn9yqcYh3E0bSELlqtV36ddGYIBXiotyP\n",
       "d+jZIVwS3oJyuG0mBuqxH9CQgziwXtWfhGYWuy2iIqgj3K/ftHwjHnswuNt/EFBUbUzAV9jeK9i6\n",
       "CYa5IxLDtY8Vq9KODnBH0KRzY30AAAKQQZruSahBbJlMCG///qeGJSrZkAVdD6DVq7LFqCK21Q1X\n",
       "ky+0s7H1J9fufZVdRkXj1vv8Ulmdnri9su5sshcFNxW3cJHm19l0uewNR/lq0p1WYuBeiUUPF+OT\n",
       "EVaJzHn2m0u+VXl4A8brVySZj4eABCM76EIaGsa9LvVGKTUoyDTb4+5LTUROv/869iHJBqwfFQNr\n",
       "cCGmMlbirSSz6beyl/qXOsC6ZH/xs6o8/zaOMPrY1k3TSYA5O/mTgrxJ485Bmw5P88v0TJ59CQmd\n",
       "8vb8PPdziMgwGPwhf8EeyzFL0uQtAJHL9Bp7XdbfVp9izjQ9nrHWOyRbBMxmrVqunlIG7Nd71s2k\n",
       "wZ3qVjSDjedcC/swvVZknucOQkQ9DKk38kSP//cHfcejAbUBxDHDASaOWLir98qLg5eUlUNSeB20\n",
       "3sfgt6FeOKSEu8BYAUNe+EkKomI0KnfbPWAxykf3uFHakdMKpkc+j3jFmA7oiLf9UTChJyUpM2ls\n",
       "W/2p9nVXQQSz0tHxRUib2sYoFd+HVGFtzAtbwD7e99xKIYes+GX6B6mv9qQySESqmd/bfVxhWIaX\n",
       "UOa7JGGqloyHmKfEAqyGS22YtNmX233SVM/TJ318sU6yMCbxxXHBXlAZe+ezQV5vv0r/w9ZJkJnu\n",
       "4Cc5nJ+FAB8/rlo8F2/walFoRmT2jvWD5+yBUKTocTCUmdDV86uqavVcg6W5vZNDvuwvmEsPnUtR\n",
       "shlhjhlPnUYXXrCKhDigBsZFgmUytTpPBVYj58h7jhHE0WfG94+0a6sH0/yV3/vV8ZGVot1zaTYM\n",
       "QXqNIFsbL6JtdjrQZXOWhDZNos/qfJjA5eQora6txMZK5i3MItkTokNbQdUG+Jswr3q2d6IAAAJl\n",
       "QZ8MRRUsK/8HwclfkaTgd+8S9NNYANP/Eu/5PH6e+H3YRDpLama2ZoTW8SLk2Qd68YJaNh06sLrS\n",
       "BA4BOhgIHgYbffb9pKA4PokTdXHZaSiQEPZrFkgAn0/YMxEH0m2CuVpf7taCMy+kPCs4pdRw5uEc\n",
       "/+/0ig7Q6Kimvxw88euYp1KHP1yjK8LRbohDodfd3RU8dHcVwpuG66iUtxDKlX94XLbx8wPMDxXQ\n",
       "si7xtfvWKQFv6+dXw09WIWxUpG25olE0yLlyEMiGSXMv5MZj4myKs5bz8Y6px1vlrMbDb/bgJAiO\n",
       "3ICI7oYDajcX5GErpXkQHUyGr4e2wCc2dbodV9OgdZRn4uKihS9o9dIPvQ9YegkJQQkxKb76jhfi\n",
       "1fmcsTxWy3QFE4XtVpse63SxIiMwjCNwSUSAEf90OaFZ4piY/khfYnP9eRb9vhPP7mSqTjBJaclW\n",
       "7SrQnPOFORgfaPy7eCotV++D+DrcXoTMmdasM1Q4ADCdOptEioI4QVAUZ88+qDVyyXYydr4akOFi\n",
       "uRlV9MsNCWn39v9OrkcU/1KGqtYiyl50TF2QmZvkj1cg8pd3DUo+wEpKHVrxTgVYxfFj2xSykN/D\n",
       "P9xfzHRCO8iKOfWv8QIKyiPei+SI4n7nRTEOnsLtIvWFt0PC87magZ5oy1Hs4QsdPPOe75UrAuPQ\n",
       "wig/WuKsy+OEHcPcaSoABSTI8gf/YuziZAqA2TnlP3P/02KuMV2m8m5VwAPTtqVLXz19PBHUg4uu\n",
       "udPgzDLKRGRPAlXwEXUdp2LIUqIDGKy4xXCaaPqZv8bnmNz6Hvk05lzZlwAAAoYBnyt0Qn8HKX0Y\n",
       "X+QAlWOEXN5ZGxPhhYc1QShRK1N+UCDa/JsFj3BmPuiBmkPgfKl8ja7nL1XDXOvbRX0mpGnLCcae\n",
       "PAR8fum429FA7Zamxdw6RBJPU326dEu9M752mG91UDjTn1VH7MtOdniXCKQwtLfvvJlG05Y78o/w\n",
       "0AoiRfaeDiklSYQiFhfpKaHUJeJnFiIKbre8L0wE1SELdRDuw1h1VAUdeofDzdgTvElug6GzAd7T\n",
       "URuqhqZb0NNIoCQnDpqzIKxbaPYDDVMHoPOsJhrJf54XF29c1cJ+l3aByUQzuxmWWpyfwbM656fZ\n",
       "t0tkzLHxt29MbP7Bes2X9bLqSY62zKaK8SgA6/b7JCjMth9Em6nr9Jdd9VmiVI8GjXRg6aRTbdwh\n",
       "kT4PZtPxD6eiOQXTEbzbcHiePanTwZatHEKJ0dNiuFXDCU8fiFdiVUwDHbMCSviDrpSxoQtDvZ25\n",
       "JUK5RFnBTlMs1SsfYhcnm2cP1jriPkvLdTKW4Kx0f7R89Aw2+/Pxw0ck5cNCyGNsunqKbbzWHuKW\n",
       "OYc2CU2+9fHcahAetrmKcYn02y/J66JCkRssVVNe8A3f5YUHcINQJz36qTkDLTcxYHr+29Mr7MaR\n",
       "1/MpOVyLMXgLylXCjfP/lObkGhyFdpGXASTeila2G7b7iAidlV92nVOsxQVO4ROrnO402wqbE0Hx\n",
       "agnTlfTvikzwSKUQzAt3wjGYELyJlxy2IepcK7KrcI7uZIKtF6qTbhr8fcAzOdvEQSp/vvqUm2Lv\n",
       "b+idKSdeqG4AnNFbgGXLEKBYkI1qlJLSkPNgazOkTy7Dzb4vyWogx/QlVyQDXZrEXXkW2I9SFqtD\n",
       "9jgQRS6M5q3ZAAACdQGfLWpCfwk/a1zFD4ovAAPxTAduSW9eSjH2ySjkbsMgtOpaYcPZPCbfhOt2\n",
       "cHV9u9DlIKm+HetAwR5aiM4d/Y8kyU4aoJNPf3fpdja3Q6ZJyi+hSjQFLGlVeHCOPu/ntTl5eTg4\n",
       "y5WFzR+uXfNCHyYZ2VeqtVjseiFJSHiGU2ZlCjVjTldtUU1tdwUkysTbLMD0uiuOXK9h16OJMltQ\n",
       "oGrBc5uBfHwMsxzNZhxKqPxKOnAmx5vkq524+C27xmnfMpsRlCXA7kPKmLC8SyglbxwLvqT/fx5n\n",
       "LvY36oHEAGrtFeZQjGDkTE3pm6ZaXwKMvFm6s/Sh7/jxXj8JTRq/Rbjx0UFZnElv8YXTnCcdZwe1\n",
       "A5wjm1tIvBKp59qSptFl7kLzxrQKCE8/UyN6L5oMXQjbbSeX2PPvB15gSjK3UcpojDzdK+jry4ct\n",
       "Zsr6fTIH5huaN4sBaygVz8OBseid0Udv4BFoTzM4fpBS+QRrZ+K897PBXXbuYf3KWsh3NpM8O1/b\n",
       "mwbxfnWmRP0pmMRnnrDSaT6oq24uWvUlsLZ3wui2FmbYtt6b+Thwdrh7S6fqqTmDrK+C71MBSXVn\n",
       "6nOEkEayT3pKbDbW9pf/EvP6O+sKVA4ilhkNotuOVj7sgIbJ2I/dtWNz8fHENLuQb2m++cGPtb1H\n",
       "VnkApS/nyCbECkYYoWDi8T0oBxmqY+rn8/TmyttrkjNBTHe26/SSXVv/Li+HwsoS+9PJwYT/7OXu\n",
       "I/InVnEALGqiXAAoTyh1G75pZmdy4Gu8RIYS5OsyzFWPUWF/00+7rJmcxtDrfuejR5g38nOImxmM\n",
       "4dubi8bPbhERG5c8cprRAAAEVkGbMkmoQWyZTAhn//6eFhiwSgAK2rt4+OhWN/l5gxbafkCc3qpS\n",
       "RDJj21BDFTY7L83zYMkf2I2MHPsYBR28/GNIf1Gbx9MIUhfXamZign1ysiPYpoi8aAejqbUiDl/V\n",
       "Kg+abE8j7W7KGgMW55LJ1KzjGOkxm9CxrRfa6C2jztL76N48it7mgx9Hp3xhj80iWM8xsIlqbHiI\n",
       "af8jL6XPOc4P9WJD9X6dDtME72fNzOumOVm202NarxACwF7nCo18J2N6kVeTlLrOQpERifL6KrZn\n",
       "K4J/8KJq5dCtz0IpKBbACRNIZw3j3JiSiT6oBvEoL4MVMK1r9e4U2nCVAvVwAwesUtVvjlwxD9qi\n",
       "6tqd9OqcFCpmjzNIc+9bZpGPuTjsWIdPARPKqCRxXjkJp9oC/poL6xRhfwhMPbJH/D1F8RR3Q6YX\n",
       "BfHGwNdEz3CaZwSxtP8e6ZVHQdqWaSR5EUWSwiZ5GOj4sBHd577U6S7znoKTOrsjJi98moF05iBj\n",
       "2KbhVbBeKeuH/PxkmuIVBtTpW+jmWRcjgrOCjuEP10DZBibtlh0/tqpREC+1KBm8t8v72yNBDZme\n",
       "dfeoY06Iixxk76aDalLOEB9qkjxV1s2l9snXmH20WKZ9Yad7asPPEEr6IEjH0gTspoifYmDKsC9A\n",
       "OqPr8IGvSesC4a420cxz/fIfMkBP7IMt1XMJ70gDv5HgqH0mcsQ1a4rNyxYX6s8OKviOjCAp3jWZ\n",
       "j6797befCnWrSvIpJSlOyoKrkNZlF8AIipL1EVqvcq0speY9eWKwKXT9ERI7Z+JNqutFxSyz11hU\n",
       "F5puhavgDwJTMAy7ChQrK8AfbZ0oTkGg3UlUliepVY4dIMdEmdaAsfmaJbqXZSKjE8x8kdWDt8Sm\n",
       "JKe3aFWXQf9CSXKlyecfLXR86n1xcfopc0r1VW0eoY7CQ3kxUNrBLFLpF2asPO4d2MyKhFkDic0M\n",
       "VEkXjjmkoZnOg/e3geMbbMzJj/d6ZbchvcJec6dFiMgris6qNhjWN8ZjXm3GpuNUuUIGU9NvTs7f\n",
       "Y2Clxb91sqS6CDtZ2bhZ3usnDYEHUjtOfiQpR00ZqnMEKX25RmHqcWJXJ8dj/7nC/kpUD5IXaxZT\n",
       "K3mm4iIg2CsuOGfAmwRnC0Hiz2TnK/1Jckz8uOR9/O/7rnfgQvrVcX7QrV4YulUG8z2O5wSewmXP\n",
       "/Q5AHTnGQQbv33CpDw9AXZIwfFhiweZ8qbpJCbHA3yhg6MtbEQXjFoCNVSSY5b0XCg2CQxIIS0NC\n",
       "qc+K6tPX3lM4wK66lKo32ijethgLmLEZYNxfgmBgSIchlDJNacch7qAG6BwlqmBGhjq+2CvCrghp\n",
       "7n6D2lstmSgzyvW1/4rSJdhtNPHxadN7GqtZjrP1Vqhs6YPgP96vDHNdHJwnJLK12fnOtjfi0sJW\n",
       "zPjh4LCCASX5/lqWJ0xm/gsBJtKA8XOL/uV3uR5oCkWQsUksEY2X2R5Dmk20OQAAAldBn1BFFSwr\n",
       "/wfGcWlhte6A7hAATjqjJjMepayY6C1CTr5+vC7LFi0ypr6gz8+H6TORtrzvyU/E8TE5IzEvlv2S\n",
       "W0txVjoVakgwXEXZrJ/HqBd/pX8YRKWpxuVeDIx3hy5klNJOpGWt+qIsOwbnzKsoaVrF/yVOyuuA\n",
       "vCLV6Wfnb3D4gcPSx1trBqDnJyj4KaVLekzwKhae9aGA/F3haGbPQIN1tXuMcw1wceERkx7AUZoG\n",
       "EnnsFY8fbGa8wWW/G6/PxgbGoFJ1akRK9bP2aO2psVvGLjSz9XwD8CZXHann/jY/L9p3Be8fn0vz\n",
       "n/1fVY0psb0OqtO9WG0ciTKGFwPHCba9kitA1r4P4ayjBVx+Vgh2EJ6iTTFeSiBz4Jec6bVAzEGa\n",
       "LSO0HxS7636ZcK/Nk/QUtEXnVkrdDjjxh/z18rAHxJxOp7PGPfDZ0+VWKZEGlQ/V4YqQwNvSTK+7\n",
       "cyA7QDvu42ANx3GZjEqMMU/x6k1CE1h9txFjPZbMEWNbLcghbcXB3SgRZ4iscnXqChC0ZgRtqsPz\n",
       "UulsReWaUulPDNn7XlM7hmtzfIObQamI6Tnax37nL7+QXJ346zeXqg8s5etSzjj2VKwqJYHPD4bt\n",
       "Sg+aSQgOGRq1598criLyCicaKagpttThcqfuRDBm5vppOHjxqQupBVqijVjdnUR54cJ1afR/H42A\n",
       "WGjP+dYG6SHXKfT4jxEBM3UNqeFfevIfR/uS1uE+yucsMZ9jr5Mmrc+4zAa9X06jMSFxB78vngDN\n",
       "3n1TD80tTqiBL8A19A+su/S3P1JFewAAAoQBn290Qn8JMSePskAB+Kp1gFppljOufxb3Uc7rB8a8\n",
       "antUSZXpVHqJfvflKXPJC2qGCaPzz4FMUWdJ9kdHAwxaCA/95uiZBxyN+5S+w+AoRR5opiklvj9M\n",
       "eHoVUqgFjllscATy/momO43rqkKxwQcE9hXs3sl4wuuDpC5h/JWu0BPyDEnvh2Os1rmmakoqaSFC\n",
       "TSCr5hrEgwG5CLMdanB1YrwbCx9BFq+mft5JLD89KdAg5fHco2lcGjk/iWpT3PyRHNEUb2JmSmm9\n",
       "ykT/ZGQgi1Bgre42a0Yu3mh8MEk6hLc5Ncyk7Tf17wwLD5ngKvyYUMnkdZvrmSY9JUZsprSHz1UX\n",
       "zK4ipr4V3M2BYDsGfv5VbsAWwUHud71i3dW8Bl50uEYQo2smgRevynT0bZOi0YQiMpSofAeqNleE\n",
       "XR+HEy0JoNHrggEhtcDRtXVFFc03ljE7HRBzd1hUkkO4/LO4eQC21Znj3mRgRF3JIfDoBShReUTT\n",
       "pI2TUZcFWasWekcM8ozGM5L7JbxDGnT84OR1DtS7KIS/BSo7H1SXllVcUg2vPr9JGaJJrF9AyKKf\n",
       "ZVaLUX0wwXOACdExTXpAy+Ddw3oHBXgaX+Bj2sbI3vepSP7zjDM+WbaZsYg5/J2Rv5UV8yiwj16h\n",
       "0mO8Cvhh8bBK8n+T/5DqoGEZZqnRWIJp8UHh28HRAz2VpMLunA2MJuXcciGqHwbtqrFzeaUUy3ne\n",
       "fn5hFHtTZBl3X+2Aixp8zcv3y/f9JLK94k0tBGVZeFgfmmj9AaL4tugnthcK6CZ0OWhe3DkmTDZx\n",
       "eRRpvtzqxwRnGsOTItr1vEqTuja9LmOCjpnh2TZf3rmDsGks+rWmkHOkgAAAAsoBn3FqQn8JP2tq\n",
       "Vg8MDMADaZ92bGlpiQYf43pdNygUwb7iEkP2jy/j1VN3/NQC297sCsdT5R5f5vFNxMQ9sx7dPm85\n",
       "EWVMa2J06u9VhmGGe17r0XDwTHPoq81tgYTTpBRbaKLCGXri8GWWEL4/GgdAOFFllZ6mJkiT0/XR\n",
       "jD3glfuVE3T84slfUUkit927EEpTyrOIxjppZyEn8tXwF3rd/9VIMvPMMQ1n2Yu7SHwtaSFIT0dR\n",
       "LHJpZdcnA6TDVONXJ78YqDUWvBvsJ5Z7aVz9V4L6JjFcQB+CIXIIocdbhlxrqEY9/rTR2Uvl8QVR\n",
       "J4guhE1vjFitSXRE8TL4OvCj3JNsXqmFM0NZsfY15XwjwDSoeE/YZ+JzV/rc2J+kB8D5rU7uffS/\n",
       "5A40fYOtgYhkhBuAJDaw7hGXe3QD4YZzYDAdIk3xwgcB+wFZDd2Wuy0fWCGn50gnXMd/Lggc5RZs\n",
       "aN7RqSH3PfZU4f2WmMXYzNadVAgzMfhbDzvWccHI/o5L1w+XRzLWSDQ9Fj/U2HKmekXTNOLGTP9z\n",
       "cCELRGW7PR+oswq8sASMLwY4QO2WYBvgbyGnJ/yDRbYPTJQvsDgxMvV+VhuntuhSvtiJ9v3fwGoE\n",
       "2HqHD/GLijyYfl0vHe3psvhdKIxI/z2z0Wrva1FxLVleegIvYpDojpmwabz2xbDplQ0eRmfV2TZn\n",
       "zru/NUv5U+4eaqOnON016YBroldTVtY+6DoBe5OrKA6b6B+fJch3EE7csghu2cnmxy74DANTYfs1\n",
       "9sUNk1mcWH2XU/1jRNaKEX+avOAhSM5GiZFeMM2ZzEKqoIGomlqKRY+8o7MbUv9oNKZ2m3lmzrnI\n",
       "8XaEDASDUnwyriYBOwhwloVRFhsIYMgPlZ/8/ldMX8bzN6R9dmc6bchfallFuGTe2KVdmWdPGhSC\n",
       "i83+GfrMz2Bg4tFgwM20YPGEqEEAAAY/QZtzSahBbJlMCGf//p4V/UdQVdMAA4M8D+yK5YHGBhPR\n",
       "y4/9CGAL6PT2B95R520PVaGtWY2dcdn0ykq9Ai5kDBURBCZiqnTtBHIqNkv6H2sKz7nNQKcme1sl\n",
       "DUO2SO29t330jtjLSTXzmMwy1UnyAbIiXKpajm0nKLwZzaGelp5rVXFLAyNqdKEh8Z7jmH974CbF\n",
       "CsUVZvwY+Ui0Cq4U8D9CvCAbjQFN52YRSl1XWKm7nQGrHn7PpuovUvzWuadNydKJsC0hftQIuNnZ\n",
       "LoAMcBeNCWSOhrBZI5exnU6RXEPuJ083j1u+Xipbto4ipR2QmumXao3k57fha22jrMjxsyaD1zDV\n",
       "0d4/sX5G++4zH6jSXojjcCYEinyglsjo2z7+yljClELu4LyJufSeSpg1QGTWcnAtc4Ru8jh4gV+b\n",
       "rmxyxH9vHNIeizXxnYpfolrVBp/be2euC866Ciouw1jdNCZFXpl7RDQDwAWM7uQPQwUOsq96Cvsi\n",
       "arED6zQeJ9WKZIhG/QhbKdBaKhxdPxmioqo5VRPGO6A/O3rgD4dpOz+tWXEAgN5dO7IsmHvgPgLW\n",
       "tnZJocMQIkWKqZoykA0xOmEr3IHeBolqIJJZW34QswYM+8EhHqNMljrH9zvOKT88n+5NQs2D13yt\n",
       "VIYTS+/Q77b7EMunphra2Qk/vKBzv4r1NWSwJ8ORtG4izNYkCq5v8PceyxttubhFGcDvgElvVo7o\n",
       "dlIhOfhaZTAVrxgQZEVdKz5rqu2RuOVDMRbiRm7jbhiN6vBMmtBQRiAQ5F7cYgFgHCvjyDRSp8tH\n",
       "JFDHEu13HJUXJ0+eEEuDMk6AGRbetWECamHJ4W+nAYnQPEmEFeTnBMOBaA/XfEhMOBrCd8QzqmkS\n",
       "Tfxf7VKcLKx9irsoXtsQBno2MVkZKYlSIpsoxBugPECodjYp2loQ7wtSDz5iAq6XXDp2DiopSYo0\n",
       "y1PWBeME7ufbygZmOEjxdwO1R/LHEfYCsMOnXIGrSs5fEJX3bOXuJiZpwMAsw1TG5aXH1U+3RZ6G\n",
       "PuSf6cTc5B6HTnq90tiDrTpAH9QN6HO/hwVQmOCH4GPR8k7GiJFzKMbzFr7GOV9eR4aap8IO/XJk\n",
       "YLsBW7JmAyVMmesm4Aqq7hEF4cFZdU58o3kulcmJlO7AcHpSm/xRQx3CepYF0ei35E+efrpnthPB\n",
       "fqkK/ODjG9xZdIPGEXQxF2hoTf5+CXvO4E3LDAvTb26UWj4sOrH4w+JbqNKtmv5VwOdnk8bYMYIS\n",
       "P4TSVZyzqK6Atg5BBN2scQkbPx9vEw2UoInCM7S4V1ZyjXxSKGddYfCXjHgWhnMapWoF7r5yRFN6\n",
       "WfxfzwKza9mdM4Gywy63H0Jg8T35SbThh9BGTy3Ht/qSlWp9+w1U9wSXEco4XbPQqUi+RMC4Q5wB\n",
       "zjuNsm8g1l8o1OwXVx7nYBWnHm258RP2RJaDPbdhSX9wsR5BTN9CBhXJ73cGBRmZrs1YJ0SI6FgB\n",
       "3bzhIUMcudHF1qBjdxQZMxJYVbR5o7UPdr8LAMx/7bFBOkIW4qM84o2Qp9+kUzKq0SL+8MPQkSR+\n",
       "O1qHSyAXgex65FXf09L0wi4d8O5fT6R1VavxXPOqYHYBC7MHfmBwXIJEpMIlkDq5blmpgXu3EXLP\n",
       "CoOAKy+2UVOYEuyzmJ1G/f8acZ7ZNqSqbjikWxGWAUF+Egdh6AEnoH7b5fAB4X1OVsrR9IyGdjuq\n",
       "atitWpRVxntd3UrJ1rNopf3EDqYKQjQpn5l+WhxfJfORqoKt0Fnp5oeUAMP0nPSgOZeHafQJfjHu\n",
       "MRO8yBdnkyR9QbgkUhAuOzZZ3MEfBUbWboCAclVACsBWBN6WjVuX4om2uxJ7dm9YGCwZ+q3WOcCT\n",
       "PHi0XMf0iJ5RKsDnXL+nXc+gnDZmhgq0mfeagKCzd8vpJ+xJ6kzUqs900cSMSU8FIwof7rnyUtsI\n",
       "jQL+AucUN+Vt+xLIp6IGLDxJ9ChfjDqAGSr6FG8BVq/lNEP+F7bQ+y6vqdOKXwuvVdfEZkEiOkUD\n",
       "EyNroptR4Xxf585p/g7e3nurlKsGhxFau1Qy0jEfF0lodWU4VZabzQNQrGtuW98TgMMs85on5PgO\n",
       "hGlNBg591qaLUmwr/7n3+5/cvYJpxuffvQVsAAAHCEGblEnhClJlMCGf/p4UXbL4kwAG3rd7cBQ/\n",
       "QQuFBeIdRLr0uOiBLe18D5laX69ZV4J33hD0bhHqvW/dGp9laSnwiQbzJRQJysTDtUcO1fGk7T1v\n",
       "NGk4CEXPYBrhwM2ARxN0AqtyriC2HoewT5MF/z4uLqsIPgSQU7wI1MJhlZW7nv0kPpdxHpL6TtYv\n",
       "pY6Hkc6SmdokG/4V7hyRnOnjhG7cFcITXajocVeecPvGF/iHW7FCbYTfnerYT64luFbatuuaewPX\n",
       "J7Yd2T50Y91jJ6WoG9x2oRajX7hJ3S3z6e6wB8eI8ZeouY8YwAN9qoKKeCxAwl9omlkgNw3LIIVn\n",
       "+0tsXN3EpYPWI6HsjD6rdSuuc6oT1eO3F7xTIkgn70Y/Gdzl8UYHvzPL+o4uJxCq+9ruvwIVvqJN\n",
       "90ZxwyxXVef63OoQH79MpTeqNQhbBo6Jukoh+iK6xLx4LlmTOhHfMIYoHuztG31Ghcz8XfHTQTzU\n",
       "n1BwGAqxuVxpVLeqRZ+DfoBoId6tETaef4hUVRiuVAKQWi0a7sVJ6EWfeNmTRMTEsl6fioOeeefr\n",
       "ydhXhPtoP6i0cOX8+sp8jUOtkHZrdX8BG/zjB/ZNU1H6JOJD27F/WG9QFB8RUIraI5F/b8ieKpqg\n",
       "oMCC84YvsQ8kJtlY9BbREZ99cUQCQ/7oChADzcf2ZS9JCByQcxc0JgAS2Y8GnsZZyp8+aAc/79rq\n",
       "/CR46wiimO48ezJWrmuXJu4oU0vFJ8h96P7Fyk9hvrBVOSFPX8mjNsct2UmQNPJ3Ct2Yli8VdL2v\n",
       "Qsw1eJhZYqCxL62iS0IufxbQNQGwsau+S2eHQ0QnpHlVBS/5OynlpXLt1g/Ptck79yx2RXOuNrxf\n",
       "H2oFgY4ygbt368PVoAdxoZx6SmhgrdYRaNVAOHTFgySGqKK3t2RT7dRz+0UO9A0EhFwKMNok7Vmm\n",
       "hnd4DYgiMIdC+yW1Q8hRlpvY5qESZHT64Bhe+kQtA7/5vr7BKcorEWTIMRaBaA961aNI4yYYpRAm\n",
       "C+MdrIDo+p0JcUuBL1QGcwDEfsFVO40krIFZoXSoRYvGYQKEJEkbjIN2ppc5f6JT5u06t1Ewnh6/\n",
       "RX6dTclmycreRerxtaLr7vxJ/WhMahdy7pM78YfuYwEnroWsQlH0D6Q5J2CTx8hycUTQPvugW2v0\n",
       "6MEJBcA+iBjXjiQA8PM6F1vLkQBjPtJvDHi3OsUjJTZAlfwitI+bznjVaYO1SPujQyP+ELPezTU2\n",
       "wqy8cws3LfENgyZIZl4LsmyEZ4SpMQEROs5mWbOHAax7M248VJ/zJ1uk500x5cGOyGMqBi5MB28Y\n",
       "grWGC0sbAd9Zxx4J1Tbyucsa5GYGcjTYzV/gbo1grdS4KSWXkB/43WNeutT2edluav71ewFBiKRl\n",
       "bFtWEQO5gdb9K2r/1lTtC1F5e8YJRO2INnXEY54pU+Zv4DO2kFnrXsoVpKCWb78pd+8MlmeNCLme\n",
       "f84MZo9PP/XWz0pwFpTaqwgEOvB/oyj6hQ5w6p9qxN1p/hZb0gF5LG7piPgXSb5dks9dUH33KpPY\n",
       "Q9oaJ+LpAIKW3/sEJti1Po/V+SFbDB8KfxWm+jY5PR7fXWXeMDiITIkVLgIw6xX8YEMawDKp0f8x\n",
       "dmI3jJ5kdTLI2O1idT7lqGWaYUWP1z5DcAYH8v4ebrwYaJQ2w00UA02m7oe7z3lxOywJP5iFkBtu\n",
       "qohSOpP3j3s/2xBIgmWqzFLloJ/WKzwTDW8VqkJHdvp2cs7W3LOf+XbnnbHQxRqv1wIc7D6GPtAK\n",
       "m7J+/MPAebNcvyhCq/SJIwFPCah+nbj7cDijvuLntwA5fe15giRmAuMaT/qsdo5r/fmR2qnAZKzP\n",
       "fdOpqRYw9rWFyUkUehqzUeimfeR6PCIqI+SlSTPCt6gbLQ2eauyy6ly5bNPb1qgeA/C6+lRQ2yc6\n",
       "zv/DLuQ6VHSfxi3OvNcTdLf2QnPGQtFWXoJ+J56sC2uYgjyVOX7NrU5LA4sR8znqpojN05VSEjCD\n",
       "+m5+///dNXcT6jpGhT6olgmimmvO7ekkohmpkmmoihNRV0Ofp0uGxw/lrYqNfy8Azyn4JajJ3eM3\n",
       "4FaPXP/MJ5QMmhlkfKx8eUwA+e8OMvtE0SWkyTZBINs7VLh0A51nQGbCMPrB6sr11SXIf0xJ9fG0\n",
       "rCK8DBGa92X4GuJd3Ez3obYkhx7NTz+QYpjaza1XGW6Gk29tfVYwLyS32OYz+lFr43D3aU7uq1jH\n",
       "jVkpD1i8YTUMlYe3IRc550NnCn2o5xUJwT10WlRnNWqomiC2/1AUmA8murzb+nyTExF5y90IpXvP\n",
       "+9ZpDut8zoysUIbzQ19BrBEpJreTETwlvuRALGtroHWK3A/e3JdtMDNO3d6Al8foo9GM0nPZ+TgG\n",
       "oNoYeTDtgAAABuxBm7VJ4Q6JlMCGf/6eFG3hMNcgBtT0yyJXV/8afCGDJqkGc4F3zqhqeJd9UZLy\n",
       "B3hENz8dio9rRWVYXcu9Fk89uQYLebuy78izuSfsPOxX40InDUiDSGSvSxnBXyeScAnyIigmQxGx\n",
       "C7G82VrIe6bkDzmfUHd0mft+YDzTkEwfwRbmveCaLq1rZ9DzomI/x908+GosyAK/km9jPQjTAvxk\n",
       "+bVErW6Dqun8q5uyINWoX4a2udXCS/O6grpcqp7AEwfoBiiwnInKXQZAmVx2hzzFff+5V//+BE3C\n",
       "0ycyM+ue4qfsVKajXvetBnGAAGbFJeJQwDclPY256Vd0+m/FFqbiEKCWmUc3r1+dMHwyRjlJ4v6N\n",
       "iYfHbSPzlJFHqX8x8W0H3XLkfmcDgNl7onRvCdWh+qH72Hb/yJSaxEfXrLttwCgeZ3xyr2zSB2aC\n",
       "nLoRYulRDc3Ve1eWfalAiaj7qXt5t9Ja+xMmcPZsRnGXrLC2uSaOODHtEsGI16Su2FITyjUMwXj9\n",
       "L9b/w9B7QasjnjmbJ6QSO9RXh+k3NTmf1YS+YzRYdT0E3VktHzOIk/O1C2lQVtV22Yy7RiSu3wd2\n",
       "rrkzmfSvOCesAjZmpObOt4YJdbsae7QqR6SNaxsQ9vIXcxqszb8gn5+6ba+gPLs8l6TupsBZ6oVI\n",
       "e7H8qRbnjO0zuq0QOhnBRh92bJZbpRDeYucihU7jm7ONVvYJ8I0VoxJO+0H8FiPSPtW8GCJiX62Z\n",
       "w+4oppoGbnjwMlCxZY9Is4xANmmiV0w14kB3BUQuZ/9fCofBI32xGm5zezfAkSh/3gje0wL+hXYT\n",
       "I6ypJ9Wo9D+08oiGqLlDB2VmAcA3O8OV7nZMptsvRmKuFsi7rUVaNLb9YQGeRYIaIkAucoa9x0SA\n",
       "GLc0BPHltXg7OJCC6EmD1n7rdX9vxkFyg/TFabgugSKsb6eJj73xueDf3gIaUMT8yLJR2zkgxvdE\n",
       "byI70uK1xTQbRDPMfSBREbhT9/Ac/f2NzRTeqmLPwZKSEExt5KFHOObIu1YuorVFwnP5unCdL0rx\n",
       "n7lt5VB+YNxS7AddP3l30+aW9m6F5wroIvdYw72O/vvX/wXfAVbOEmQ9UXrat08mhdeH5gS20pVL\n",
       "3GyXz1mGxqavJ4oVAtwxGQyBA3qAbKarZWHjIj3Jstg+FXCNs4CdUGp5twUOTmN1u6ObA1wGZvWd\n",
       "B7pJJYUeXiUQlCngs8yFLadXzIIRe+TyuoWS4fFRiEYtU+pUrkSxh5nRbM+Neh4Mmx23Elee96nN\n",
       "WIeLF+a/xJZGcjJUFsfdFvtHq/R8lTC5zAqHtkewZXLNnFJ9HuAlw9U62DS0mP7hYYUwuBmu9grx\n",
       "hc24/Qy95b5bZFi5k1HDf7mAi1DzeZeSvhqXxbZ1B+mRDda2iRSetvcgQ3QR0qqSs0tb0SYHFkXW\n",
       "dtUBAHbAZoCWitf8kUm06PbozgHknXeQXWKMSRy/Wmy3rCmirl87Sda4M2Eq4eGGBztWQx+uBJKI\n",
       "+IQdCo7BxSeCYdluAXtoNSchlZmMAcSel5//vqkx+rckVgIy/JyxHB23i6w14cb+DpglOkYducor\n",
       "yhkJ/nWUTXig9laXXnxX6nGYOq1qHI/+hkOTQFJVNi+aq4LwfWdhEFdjwvUOEJjPJgg2Ary+NfxA\n",
       "iZPrM+qkVRfHEuElnHmuA43+u3KHMOAZImSjObz6jWl2v/NfTNoG+oJVJVNl/ny16reIJFiDERS+\n",
       "TY1aACI54X3aVdqo3Ok2P5ITalNMeHsOz1n2GTPUVlGhDTGUyer2+u5x3niujkHwrg2l9k9+09v0\n",
       "mR5sTlFkW2qsQ1p/yaGXS6qRfOxCOmdgHemwgv+fQ1x+TQ2d5WMLzv5pa+KnZx914Qt+KlmQqVq6\n",
       "ZLJO7hALfcqmYttXwUdSWsejXYzzJgTQpESN+v48f3ui0KJIGl6/a14Rowx00m3Or0/MyFGzK+D5\n",
       "XHBztMBJqBsx+CcAB2jrYISC+RcCuuxafJpj76ImSKqoxhYdVpLDmBCHbqDnQfxu/9iH5ncMX0S4\n",
       "MaTSRqPMQQcQMimjNsglaAtJ7ueU62YJMTEbYAMdQB1JxSOuhsrAOPvkrwNECNhobr3oyhAM/+XY\n",
       "Up8BJhtNH6oycc9sLIWUP4l3ullDKlUvHnN+DFDG96TkPNpsSnI5NopegoD72VUwNdj2w4FKGlfA\n",
       "HZphhdJpy7jvoz5+KJmJ2qXTBi85rKE3wKROpz/JBKgc3aZ3VmcKH9vq1Xg6U/2WoW9aYhl1zPEo\n",
       "rhOYbkR13J8+gmTKveT64ewvuYnbfyLdX63dMFrOHsIBxuIdp6hpt8DOHmHm/WFNl3xzlRzulQEA\n",
       "TnF28wZ0ot/PlxkfVxCr2QAABZVBm9ZJ4Q8mUwIb//6nhYZNOsABa3L9BWHjHnZprT3i4H/zhB9q\n",
       "kcGaYr5hW22lHQsRTH4s2vk6tV0UhKK/yeHUgZkFRYvDPgUgXOpc6nIHG8xd2/79cDphymZgZXp9\n",
       "HkSGyno5TBBRqnRAZN6uhgFWkoDLOQU9PEK3R9Hq3SqLp4za3ZF6y93eDv4NqnQqe+o1YnX12ZBU\n",
       "VnCsSDq9SMZzaX4+Yr/SM+QfR4HWhN6KugPjHx+ZX3/YnKe3EtundA/8aNz0s8UwBBy/+kHY8wGq\n",
       "7wZEDmu90BU06/4XY7tNAnSgh2bLDLKjjr7/6imQ+p6HWENdCdTCIL2ZyhIVgDPlqW3t8Ormw9bj\n",
       "KSCsiYwl3TZKYsa4A3J0kGb1eMAQrrpo9J1gqsDERKlTpJaIHDlkqxX5n5BflES+MSA3hI6CSpzB\n",
       "pwKsabcA8wRNEExT3yJer9Wg0GiHa8wvUt2VvFcYvotWYNWTiRDneXWrNp5ToRt4AubW+qnd8+3M\n",
       "QOkxr5wuaXPskDcCRnrrkVKbAzgB2Q4F049k4Mbk3XxhmIqzyBh+ncBV/cis8+DFhxEcymYfGvel\n",
       "wm4GEbr5kKoMKJTdDz08OmNVqtldtuGRxTVYz2AAJOW1wZx+eFXi78dzAxB2Cr7j3I1BZGQoBYJz\n",
       "LvgC/CY9iexWknJmrxDWRfOdmr3/77rqI1XhIT1Vp9IApeoV5LYR9MTWB16VsdytxSNJVLy23XwC\n",
       "ZIc7ai+4DGEDT7yWpdMb8/8BURM9zm/7tzSMYzUj6VnKpWrY9nU+0plQvk7RTVfm338hMrdBftoJ\n",
       "kPtfcDDf6JgPx90AAApdob5xj/k5ChKpqL1KVCBC5dMoEkMlzSXIW55loIsnMYjYU8bjWKO9GLXQ\n",
       "oRf3IdPnL2jAvyaZJkuFpB6KDcKZgn8u6Ec+bTCDdZCg95fKCPx0vREFhk8EmPROoYTDXLRgDJ4h\n",
       "DHjgeNibSA3n+dO26g6yLLbYIJUesHC4iQAFvnvga4/f6bQLf/X53vgVB5Stk7dOm1c9Ff86Ywpe\n",
       "fq1repYnT2t33u+EzQXjTUIsTvP1+bXOx5svS7vYFSr+0iMECemlmZdAZ1ZbI12Th3sxLeP7RWPL\n",
       "tyJeW/84FSbjqfKBUycv2hypfqQDirhWkkPQ9g0dWQGfQMeMSoRsreouJ6fMIz62big8pM+zJzFr\n",
       "0DIAbKd3JzjQmyDP4j01wMP8yhOzUl/qhgKYh1AWQ9O+VQXPp7K+ScBPaKgh6RaIj6P4uSzxi4KM\n",
       "0uUTdyf9LtOsW5eER7rW6ZXjyyJPBfoGbShAvx/tVQ8vK/v9jM6eHfXNF+MaekPgbYSmTEBBlupB\n",
       "4tbl5yTXUK7tSkJOAWXanOxn98oDpj/TgZsVtIzS3dO43yMN6cnVYYmYzNJZVx+5h1idTbUZ7KFa\n",
       "1sXXxtZD0p/E6xvAocDd1Ratcf7ZqbXrtmKwHm1rrDkvLNdx18DRxIonhKaSI393BZUBTMt1Ezt4\n",
       "3ebLhsXRJQT90WtKi5qUhKps48+9abT6mblHi1U9qFRvjYfrH1vTqW/TExvggFg80o/d4t3HCjo4\n",
       "MWW8f1In4z43+ULq0y7w7I7+tn/xEJxSXgkohOacGuivJSUhiPV4V6OWZAJJOsJ6Qr6tzh3LhL0x\n",
       "0vePF3yp0KfTF3tOkqtRUfaTRCAtlM7sU1u9civJM37ZTnd59QB/teJTASiyEp9yN9ogtjZW2scP\n",
       "6qhiMsRWtVwciGldHjONUVp6SfBxcmkECwehxIDDajE6BFcSpC5FFtx2IGpZXyGeTCrjFZ4AC9ci\n",
       "JkpoFwnJRS18yqT5jzpyIrWhXBktV1uENkk8ckI01d8BSdQQ9bHR2HpMZiXBQrG1SLuUxctITOGF\n",
       "LFA3y1OnnTyvsfX/33SyhkkEQvnzfaSmAAAFiEGb90nhDyZTAh3//qmW2oLOEygBU1Wb2f+4/yjj\n",
       "N1jr6lGLTWOiFq0vqxfDeGlgJbcxl/e3pzV6F0flYinOuEXKDUOYWSuce29RT4JQCK4pCDrot3Tt\n",
       "Lb0myIh+6pq/a4lOC2HLHItvu22hQN2OUQJ5TEn3Rl7BMoLH4F00EAjWQeDK1gqCeaCw3W/YRhh9\n",
       "pmeRLvItf+kyI+GuBb2IyGuHbns3BisJc5UecIzbrcer43oBWfEQwahcX20uU78fC4wbRrK5zKHo\n",
       "/LIyp4saYPH3i+9tJGYA/sY7r6x7xb6sU9454P1JB5zXNb0CLfa4QbtT7jk154qoj+vDnO2vdR/W\n",
       "+j5jzWa4lF4gW+bYsvvDJlnpbejs3HnssE6bOW4o1PiRJo2AvqJxwdiv2NoFL+kxV0czMIWe07c7\n",
       "IufWjEQLgn59/W9J566BBsJWjYAiae/vfnl89qdIsrei8V5t2sXLfSyyzDTD2BF9ko8G7qDlPHCa\n",
       "oBvQtrybE3MYKsKPDki2rb0Ko5QD5PZXGolLATsq6TkI6dR7I0C3kDCWFMNNodMvkc2sydYhqpDx\n",
       "KYWF7ecF0AGBa9k1ksqRk8MtcqenJAuQZYdgTxE5N9aSelx0fOh293Bfep5DE8zo9m46Jjz16vmk\n",
       "QkADLnZCvQWCKfZpOK+sEh5b/fFiKRWj9LZFS45gkULlbrWlxMLH93rERhfm7rP1ynaYmSsOeZ9s\n",
       "uqO9yARHoxq8MXqqVE2MveW9Z7gOAL9TYOtvanuX8qHZzhSyklsu3f7zFJ7tbFdmtk0nyNvA8Sin\n",
       "gAnsP+MDFcU3qxntCQmeWBU/7HHcZrs/F3TajubteSKatfOjVPMfEWY0tjeRjoLxlZKX9jDjiQal\n",
       "ADyGGHPMT7t7qww3IUqqPJjEpZoCfwIviJ1z3QkbGhA5F2fvTtsLzsq16/ujQ0ng6gpy7y16JVC8\n",
       "bnj9mJaWkQcq5hUEey8jpcz4tOOOF+BGxQ/OJYIIYUzqYAqwQKPLWxecUJrlU13ZpWeo0RXbM90j\n",
       "okNUvfJAgasQSe/qhW7C9VocxS02QmSA5lR6sxCkhGuzoWdPC0oPH/cqZAJA4+uHuF1Qga+KUKIQ\n",
       "fp8YB7Hh2ny57pDtijnRcz1JgBiQnHJcYHeP2z2xnOvk8/sI0yCNkV8d0Z3mYA2dFDqvS5aWTs0N\n",
       "2tFrCu8FEBG6YqbDXUauWRQjxH8bTEv1jVfqnXZg6No/q4D3gfCHucUd4yidiwOKAvEN+ODObsfa\n",
       "JsK9ElIA5IUXzmD5YzUqO//Tb4jowWAwnuZ4ZZ4hOOeCoUjUWfCkFDCGX/zMOgy/jDRcZ6ZA/yt+\n",
       "0vAcfMfpV/+Xmasz7fCOuonKZp/saYpr+lANfNsLXidYWMk13IIMhdvH1Ap6MbjtnIzxegTazJNH\n",
       "3sFjaeN7cRKcnQlr+/mFQ4G6ARn7HBN+8RMNYWcw6L+NZPRcJA8dpajhoMAc6ycmOQwNinhF2GBk\n",
       "Iz+9H17YeHnVbl6Z4BTrTnyyuuV/8oGfTBovkYNnn8G1ICK419kL1+sLYQ+oBwUyqhyaIb7Foe+O\n",
       "/3uZhIRwVeJnFMgGcbQYlSPIEFLJChHqsU2ecIC59M1VfPInwqCApb9EuvzQb6nOl/FIW/GQ7asM\n",
       "giq8QhZ+Ue2eyKhZ6rqV+16pakjaYkfyNOAiMO9VfHRqF3N+vEpI/pa0cWNfFrm259acI0Woa9YQ\n",
       "2B6fgBySl5z3Z3sb+SVuwJ6Y0ad8J0wgXgesMUpb3pDQtj2Rm02LR/odC+2VNeF0dtXnPH7nM8th\n",
       "EvLCnf5QR6HSzAuDsKno8C8pxcY2GPilCFbXvOCVnneT3fUP9Rmfk/jUphpTb7Ld7xPbGwTpXX0r\n",
       "N+VmLSKLoqrirHimMYLr57eOgQAABQZBmhtJ4Q8mUwIb//6nhYVECsXwBabGhfnA+h4Wml2fYAUB\n",
       "Ncf0illfN2h5o2dhv/oXNTriA4iPBqy8sP/f4mgweJzSyVOvmjQoBw1B/fruNYtccFmbb6bigXhU\n",
       "VQA5faZama1UTouHbhAN+pEoE2OxPzlntrIJvEm8AsMQnqczGtUQtDcFR861HqbXxlar7B991Rh7\n",
       "18BxSfx96NQuEA0ji0+JWhQ9p/BYRxD4aa+/XoRTaeECO7hwK9gX/uBl6fG9WHFyv7XM8dftmNuu\n",
       "rosmgTzT31ykWpqo0OwOSytZe25cKYvb84sEcagmUEY2v8dKVOAvMxQ9TJN/cmUnIzohBG3VMV08\n",
       "6lP+0nHPrzVu/yOILpKq8+Mdu3WCvSw4En0nx+9V5AR0UUBs2lEITZcvQD4yaVplda8mqdWkpXb1\n",
       "LTI68knYKpgdPW7/pc/TTXwhOMODBWg7SavYPfSgLoRVaCZmivheQYCblEL144wob7U0/YkxOWJP\n",
       "lcjXyoEZ8SAqxJOVuEsGdAwyWRfWcr8lHpUUM8OcWckbgfkF2JwF0CZTbkcox6zmkq5IatA41HM8\n",
       "eYfOE7a6uhm7QsOInlyoYGHUzH3BOC4+br9+IcMjD6P7acajYa2QBvOXZMu4Q4ce9gmQ72jS7ddD\n",
       "wBHjA2q9/EoTN8nTRf87e97ZZQIOGlXaz/N+5bo1IZmm8X9qd6HzNFHR/y00LmztDcPG42R5IDLp\n",
       "w3qU26CoZseMD9hd0WjHkLu/Ck8kHhqgjGn5PC1fV+nG91N7E6a0nfuanE8RJguv56jTz9Bypusw\n",
       "4B9DkOTUCCeeoEJFzY9sFJgAjQScQ0AY6rp8PPbslNkh8CKMjQKTXeBXLjlZEkOA7eWXmv4u1s7A\n",
       "ZTa0pbk1BCB/atVvoxw6swCcqMXMJSEpxGhohPvByMi/QUk13H0a621+8VUxn7vrr/DGc0QUZHk4\n",
       "jI+TkDKrYhMYBUU0FO58cR05viSr55yhR6E4O9XVaxpAH/cRp3nY1LpWGTExTK2xICNDGoPqvWbl\n",
       "+526sXnExU+R8vEkDryeEGYRiHJ4T4hGFE8tv0EbZpXuCKgJOjeVxI924SI43pKIhg3oXxIKjK+W\n",
       "zlN1VcL11dh8qhDWzdNIgtziEmWCFW1E4JSiowsVPGG7kPZIFxXA3uXJt71sScobs9qjIBLk3Ipb\n",
       "P+zFC97QXh9KVmjDIjYX7OjRtIgxbx87yqEZbt4qMfQMU4nRaZXI1NkHm0P0izfPbP4gxEKz6Wun\n",
       "p0vJlGBExsOhVHoSz5Q2mE5P0m0LvymVSaw4/dXK4yVqZey7mazapr4uK85Kw43YWkyWOQlhDJ99\n",
       "XgMFCKpH9YSqNCmK143N9gmG9KMZKGXLq0aJphPynyMkVAMr6lHOMs3a8zsMG4Reta8C1uqcalOm\n",
       "Sa3stlVx2Yb0u5GjJ2dn8v1GAAV4CBDU8+QKAM7VVje7/myOlKWAAC9evkPC9RikdbpYDkK0H/zl\n",
       "1Lzr8quoGuZDlYcax+O2XKb0Zvo5kJ4l3Wwlo0CK6bTJj7VCEkABQE/85ACWVGPS7Fu7EUiYzZnz\n",
       "WcoXzqISqQ4LQOJX5FMHJE7I6bR3UOD156adrDkcZKYUrTBfxf4fVO2xWwh0kivtwA/pcuOjiCHc\n",
       "JxDWP9xkHH/rZkZrB0Vmo9+hgGc1DqNH1aHnGla9nHt9wS1UGUFEWSIigrYxuQ/nDI0U0gU+nQAA\n",
       "Ay9BnjlFETwr/wcQjlm7GtGAEVoAbraWWGcRsMS+GpoAVuFenvGK/+oWWde41rtcQbM3gAHheHH6\n",
       "3VhEmWxc2TIQ2ABFYqPA2m0IhOsB60NXChhlJvExQUTCLYC+apPI7JcOtLE1byFYVePelN4dz88e\n",
       "rtRkRYCANqXL14Rxto2E+z5kXEXDxnXnXoSXKo1cX2KJxK6kKaj1ym3pckk/rTrI0ACErHwklg5T\n",
       "ucWJq/KDTjqIOXTm2Uk51YCtELO0K1s0nm6hTm1fEUbD8kLCHKZS/dGaztMoGfGXsARtEn0A7db/\n",
       "+q+d3/3V4hVYYCM8jBlIHYnYlNjJAePaZpM/rSZ0ZWo7+yUzpWabeSQ835GMJhmV/Givs7REz5Ll\n",
       "ZSMNl6Oe3WUPjI5ZvvlBDatUU6Va9+kaK+ojF36OUFFjL6GV/G4PsPdm1UrHiRw5ZZ0VMM6WQ3Uk\n",
       "VoI3gL0tYKbnoVk1kJsREQ+Otyc61g47sN9iF5KGsOpE/n6Bz9EarR0NAd0/4yEB/qOhn8hoHmSx\n",
       "fCfMrd0biHNJAMTQWCIwpcw+8chwKsHG3RNv3zzAZwgGtAa7EF4zYgpYZupsl3fSQLtgbOS0AxWt\n",
       "H/nUm9gpRUIRBF/gCJJ+8ooZaeM+KP3eMhJpWRkCUIUL6YHqJ21+UMg/KdFUxt5NIDWgRm+WQnOL\n",
       "L2thMqLQbQvL9/1mxJo0n+LJW7TBVEvbifOBaFqqQVaElwl7NDJ82Q+P51xSvzeirLLAOzFZLudy\n",
       "VVY63+i20HP8JoUdf8qCatWGiqDq1FezHYtLEue/NlgNAoCSgy74fuCxX1zc4qH5EmE0ZyrGjlE5\n",
       "msSv4PNkCZ9SBbiBaNvbLxkKujn//cSLYOJ9V1bnAr6O0Epn7q+sWQfMiU0NH0DnLusaZxotov+u\n",
       "Bp9GYEKDZWF3oQfNy8zT1liEOBICJ+SYOcEsQj8vTXIHaCZrL/DA+Zct/LOW1n7K4AWmwc8swtNW\n",
       "zQrwHgQ3UYfU/IPEfql7HwHVG8xbtFmXlhJH//9BE9iff680CdMQ2h7xpRpSB3cf7UXO+HMlWtWY\n",
       "ZcPB7byn1m9tdwZH6jDi//P2oAAAA3ABnlh0Qn8IAmHUpOgAnZabbRS88xtpwzBufKr6DV5VO+Gq\n",
       "GGJrx75d3PKR7WXlabt9q4S26XzOQcC8o7PtIoCkW2FOOAYiFNyjOIJtwoBf5Bt/3adjxWRAJFjQ\n",
       "QCfMMBFk64D7mSCcxh7p5H9jb7rGSy16/jkHD/sogHl01u6AMmNVxQg1OlyId8duagP14XReNK++\n",
       "K3wGTAjVm9crtEd22nGPM2KlZCVmmVvGjnhzGPR+FzHK2WDSFmsjXTFMO3OIS0lh6Qnj2jG/zWiQ\n",
       "Pji+iw/5qJ8EhnakACXSl30EFD6ZwDy3VhLSlHKqZejfIZEBPVDy+RB1bGBly6uUdFUQLT/ymagL\n",
       "RuSQIiegVV/2G2fnzLG7gVsN1faTRvVggI71Y8E+aQwbuQz0hPY5yPhnoyY/Pjm7x2AR1HG3Mdon\n",
       "E2g5zDnes6XoEAl/Lvi5YA/8IAaQaFo8Wyh9iMpge2wepVdclXFh02RIbvg6BKvRnXnYEKYj290w\n",
       "rZeehMaojtOoVfn8M0zJ4BatD+xeAdpXK6UzXJNRDwfy/3dvzuOKlRBa487qW47eD9afGS0iPDv8\n",
       "mNG8iM6b7PbxVT6wU9WTje9XG2PU4bcebcnhU2wbPAT30ZDW1Mgg5B3RObYmKsL67FpefFUZ0u4s\n",
       "bo/6/v7hMblxVnMOf1CVcKnNjVrxEaMg18RJpE0+APWR2jlH2x+cItzfMHXOKUlHg4rLv0xpdGLG\n",
       "2mUoTTvP770MHRQJ7/Lq/47Ekc6y+pMvdaHui0xAAOM/vxpWq/CWoki4Mvuszx2pwbEnXOFEqkfP\n",
       "wSDn+5mKmCV2GLIsd9VJ44aBFTpdHSoJ5jcVyzLJAdxzvtlS7DB0Uqlg/GplJJPXYml5qgGYOpgv\n",
       "iUaEozFcIcogwlg8dOX8SGrvT6oiBrHVcnBVBjzr4nN/eey04aWS1xSK9dcIP+BxFrHQ4Nfi47DK\n",
       "TDxIdv2I0eUj7pVwIO1xDYuKXyBQpFWJoZcD9QUZqApfREPrky9mzawq8d9WUKiKggq+Q9eGF+/5\n",
       "pNWgx2kDpT6hO4GK1GwCS8PHDmf6etY4jU49xiXFKB/UkuaFOwWOErkAsVsQRELDkR1/5c7DDmxM\n",
       "JxBC+A7g87GqoBH6Xk+IcqmU6oTtkwQgOrBxdbG4LixGiTCelD7UZxK2ZNd+9TphAAADsQGeWmpC\n",
       "fwlTIgAfipwI61+2g7eDFdqUB1TD1ABaSok7v0Z40hNYNVuuvyLQXiPW1relgcgjANqWZOpT3UmY\n",
       "jAJ8G7WwMju2hPcLvaezWPRcoyzAvKz5Qy6R0PqrOvmD24R238+Pki75/EaiSyKpEWKoKvZxL+HW\n",
       "Va8uYpMSRcZ6YzyqxmBD/puQP1nSapUQKaAvX02fWe5ud5Ew1Tz2TLIeMKd/e960ckATinP9/j9E\n",
       "niVji+xSX7hmfs8lD8figSMzpvZn/XkqrtQz8+suG+tZXTGuVOmmYj4y7wxdkSF3Io6TI+5ypVCu\n",
       "HJCgI34NoDdl/CYqoBLTa3tTNOOnTDW7BNX9gBkoOW3k3bbAKo/8K3aSShlKsOR2tghaGwGwpmfO\n",
       "Cnv+88mUSOvxgQbRz2iaqyF60SYJIVWfQyjhhNZvg5XfOwB0d/Q1jgrNOxGCqp8iU9H8sZORtWro\n",
       "PfbRw3xfB14S2qq7mCud3GjACXPPHBXy+9dIn2OAR5Nt42jbWpKR/6+kBvsJ0Yf05QfRa8yP6t0j\n",
       "op+3VZakDoVUIAhz2k1cZGejGZ1CVJ/vYSUp0W1TfLkHoNJ0qI0ozqvF7j2PszKpeNC08zApPqOd\n",
       "+0gSeqTTBw8t+R7zM70U38Y3vgkWub6286P/gcCZHmpICWp7yFQWBXZS2cIAfOvDVpWyGiUDhUY/\n",
       "+0wnX6T3orwRzjuYEPWpjp+4+gmG3WywGyHoxuvb6e/sAtKG1wJPM1DPXsXzHYZYrYDMpgS7oqep\n",
       "FkOlAvPC1ojOQqYCg1tNwGZ61zxaNVHUN+KfvtmAaTryXYEUyYbyWt03vjqlK9ussdR1KQPm80V7\n",
       "zuHcPXf0TnQiZCqTVUuKkALW+oLsS4cjIrNd4TWbLCgROUz2EjiCBeE0b3cB0MjsQu7ya0mYYgWM\n",
       "5IqMP7pJL9tvGN3GjRhiIXKZODw10u2aL8IdRMyQDGYJPeA6GOumYjM/S4esm6NGTD/C5CrRdera\n",
       "b/C2QmfuFKtJ6Hkj/Lztjw+3lVB/rUFeRJtfImR8tUvnfmNY2Es9pGJ7el/rKs6TG8hXX6d/xUZy\n",
       "QQKZml+OrtWhdftzsuhWNyTKS8ccAtQamRsMpxSL0PA1V3PleHdS4d2lz5VOAl7sBqqwdjaQfyqY\n",
       "XHDTmGhGssT1lJ0LMJzdV5b6wrlERMfBTj+w4Uos/fQ7bpGWCIAnogQlXwEJjsKVhDcKQZsAr+nr\n",
       "GkBsTn1L1jpNpxEE+VDhlxfNbjlk8jvz/FJSwAAABSpBml9JqEFomUwIb//+p4V8gOkACMCatieE\n",
       "5A68QHFJa4F5ToH3osNHATur4cFq4KDK2/MioKITrQhoHUKiXrFllPPFI4UmcbcpwU2809oq3d9S\n",
       "we2jU61LSD6pnZ6iciRVlUlCI+uUe82kc0NsZA8Y1Zu6AC3rcUU6RtuSCxhxdko1vAKg1t9dV7n3\n",
       "bIxzOPSl3lu9bR70jpit7uNydUvlddVvjBgu29L8iMh4f3/+9BK4+drgsKpKbs9O+dd6cvAOUx+1\n",
       "VNVCZSJCYSgJxNOVUIZrA/4eAcZXS13nitGri20JmATQ5CoRzPciddyjOOhSsLYqt4NbfVtTAQkT\n",
       "3s7nF/EzCVBVHhWgmGn6bsiGD28qEiCkb/AJUCXPBztk6ktX92sIIdCweA+ACdYXvgfQR7sgmN4I\n",
       "qsqEsPbEr7dl/yjEnDHOmLeLp1RNBfTjPmZDui2omWYt2FTRH9NgxdodNSRaT+ThR+q8d1ZHZkdI\n",
       "58C9CJHywXX2s+Jml6h0yrLA3wPVcOokxwJZnmJ50Ouga/mNikCh6eCHsML5i0iKiAkt0iseUwbj\n",
       "x6JD62RCseZNpsTaWlWvoW3uHx4Og8TlKY/MlTNfJK10cSWVWNc6kC2uw8pisaGc9ng4fW2AR7ai\n",
       "aES+c1VrdnEuNzcw8ekKkEeGpCqgqMIoqzMSWmd7f5sdXPFoeoVc34/m4+hKWbTGO7bVApsHl5Wa\n",
       "plq3i05B2cZPLLgvkUnD4fcKLabDOQJqhn6OySknzuJX3WCeE1MhiGvweD3qvhKA+ZRRFW6iFCRR\n",
       "oNMDxCqJmJ6p3UeDjWHDYL0oCsvkgZ4JR/DpU1pWJ/0OEmJRpX65vsmi1P4Zj+bnEOdRsFjNR8Bu\n",
       "DaaX4kmh1QR529rJBf5+S5FLIVizg4JQdMkvWvhh9MaloFs/LsH2pmH7sMzqQA8P+u+jK1lggwXH\n",
       "DsDBL6c9e2R5LCJz1zka7806YlgwlKFUaSguc31PNtaZY8Iuz68Jp7cji+wgk2jCz0/pzZqJns/6\n",
       "uXQBNS/5+ltVvyWOZYFJ1TRe/yNFSgpTvuHwU4EXwaxAPZNnG/spPg/7cokDnxo2+ATwb91cY/0K\n",
       "bA0k5IxhEYUcrJe2Cf11mEl2KWKodE+d2vBSM2b5MH9civS06JopLR5ZjZaxADnMZFJ/Og132Y/z\n",
       "iSa7ogyJ9lOyZWvZTvHlw0fqtXRULkw0IDrPCorV9qv4pfIqS3zHeoKyFrU0OXnusM35sag1zsZk\n",
       "NHplZN2ROLvd+QqLcEneA8VMk6pyQqNv8wuBPZgTrPaWBhwILz32Bg6ZwdGmGfVh1jR8Hc7ZrV+S\n",
       "pNjqPB6j1bRpJdV1HjIOyPm/x3H5DfwqHTc9EBMIc3lxGsFQYQYN0aER1J2ipR5G27pjClhCVotq\n",
       "kG3PXL5k+8sSgke5hmi6xs/mODtbeXjHjjUXhqGT5UaGza7zX7VArO+jj0ykrvnJEKg4zy19onEy\n",
       "/4JxpZYWZBYwny6bhGflPKRwNhHyGa19WAQcsYXtbm3s1rk09g21vemFdFEB4xwMKCqgQBr8c2hW\n",
       "O39QVnMP2r1YCUlTJzNirUc1E//h3g4kuidIycD5rd3qAXMqlSXoArZLRLa56dUObxlUWepB+5OL\n",
       "PcYHT0jOmJ0McFRHYBRi/iKCR1BM5eNBaLE+3aQdgcbL3Rxs3rXpVsHOz7PZZu+nL5RyIB42jFFQ\n",
       "/G9j4sTkxnO8EPZRnsmi8eqWw6aXl7R0BO+g1QDsz2Q+lejH6vvJUeBN9wAAA/lBnn1FESwr/wb+\n",
       "+lyaqYUrkMyguoAHyH2vKfibVHWk3076j4ON4aRx5iJdRvplgoR5a40N9r/M6Mva6j+cXqS1ByJ9\n",
       "6kFnIyZVFNvbJS5PFP+CvXpWzhUtirfxDLO3+8DnSEsZXbWtdsDG8IiaZlhBFst7shlBvgPysD8f\n",
       "Gt4y1PoAg+oCWVne38jMZ4tMzaxgHMgKYeikVWVxsqD6W2jrsKJSPRZNnCCDI+lpU9gacypuBbwn\n",
       "lmATQ+tKP61KfRuQA6nP+o7vf+VHFSYDXnPXA9laApECb1Za4bmX9i4m30toBPaj4LqirMo/RCeP\n",
       "BeP5n86exu4ycMRJLTbd2zR05iXuDZJE/k/SuDIfpJ9V3xujOSB9Co3Ihgz8rJ6VOlCp0l0vRdoq\n",
       "hPF9zSyDcQ4pjFOVMBu9tR5b1zBzjct8I7NNxaw+VRlETal6nCJGZ6S+nQsAde/lEizie9r9t5rs\n",
       "9QGSRa9Vxg3qhOEfC+6hxbA8+fD2uIif39/sayJmtu0OzraXeTwoEXS/eibwaLT/ocmidcU+8DR8\n",
       "n+GoT++qs768OSwJiG8MV0DqjCGrjcmn91pP0TL6h4jzomNTXrZ9SfUQ2WjApfqh5mWZeoCN29Ug\n",
       "epjQUv9UOMBCJGJu8s8UAXX72hw7Bln0Cw/W92d0YsFolrB0NOXhQUENZDMWUkSKKTeZVezXkN7g\n",
       "q/ke8obT3MMAeZPKyFeHDCL5du+buXRuQfvH78zPk3JJfesVquvbWzJdeH69U7buDMAU8vbXMlxJ\n",
       "XlbDyGoRTQsgK+jvuYYJoJpVFQQ++XZuDlGzTgIpPAdROunuRFbT95vLjNufk33j/V2Z5vK1xyoM\n",
       "DY4zqXcIIHCNNIjlnun6lO382mn1xC+1VnkMTe434xvYE5v+uwACX8d3xxDE64+sk7nh7KU+FEUY\n",
       "OGrWEZjhPErkm2OnYi0+wjf7ICGce+8WTd1q4GmwhynPpJNViih2HqQ3xiMGk7+BaIhZ+MFicvlg\n",
       "qD2dB7e9WGITH3wHQepP3V/wuYPn5qSJguSWoSru7NkvK5ATjG7CbHfHK1BjkjpeMaRMAJzc6SlP\n",
       "CZBN0uvJ5Fp02216gqMzwzSXLQDOMRpv730eeSNaMaD5r3JY/7cR5OwCwHgc9LK3HnLV399EYrXt\n",
       "DP0Emjv7eTQSMLVr31qb05N7k6Rta8VJffFmXTZJywvAMlIAhWTDXsyUpD4QVeIe9Zlulo+NG9wA\n",
       "PEa/rr6k4qraoDo6XNyNNCZDdV843g0Q25e5+1HW65l5yRT0qCBT3Z0bReqWwximtidUjMOItLzY\n",
       "NP4mJ9TcWPnGYQz0fvLPbpaC3slNOMErmWP4cDiv01lHigR6rxkAAAMfAZ6cdEJ/CGvBW0AEPqN1\n",
       "j7y49TDO/c9SAa/3HjznmtU8bt2UqFTSaHF+ZAu/WxY1C9/vryvB308MIpicujITw9rPFWLnN5By\n",
       "WvjzQ0jhb+MTBTuE00QVC5gmUyo2ArzvQw+LlKPVTF/h6bldo5f3sIu3U/ARamS9foBlWMnt/ars\n",
       "36aNIyhWPS18lWcPhxeRWTvP7LKwV2Rh4t93W7hPxdHJYXbu/wBu38C7fXwPKjS5cC1dvDBqyFAF\n",
       "fM5H2AKl70C2JaJxGlc9/GNzDmBf2U97COvvzr0EMFm8vDiMbIKWffQEAHY9G2PCKjBBypP/3CPh\n",
       "L97M05i2EIGYXGu3Fw0OAQw3rjPvvy6NEiDBmXvl/nOJDNW+XV/e1lPJnmbN74vQQrQhScjsbXVs\n",
       "7GAdrssYM8jAyIAqbsYO57koGDMF4yr/4pnVgmkmBtgnT0gddp3I/cOq6UzSDJMO4pZYVbrekxCY\n",
       "B4/MN/0JkyTK3gpYuQ0kOIDlh02jsS+yAcbNpH0gDJzNCEv+wFHx3i/0r/qiyT2TtBf4lGFwpGxI\n",
       "rwP9vRZzKapv5yVvEONkcY59JiE+Qz2WZrHxtIBczMJtg20kRMljTHRIXp7C5C+g+jOaPbfkPbRF\n",
       "rvwiIg0i4ELOo0ojEXO5mTzW4Qe7WrjJrHIik49Nofs4bBkKUENPuGvTxnqqc8HP3vT5XdqouDmh\n",
       "DlLTbn7I/7PbUU7ZjrPyqGf9qNI/PAKk6XOIsZe/vhC/9UDF/sttKcvZscRDyRBA+dZt7znltCPJ\n",
       "cH6l5iMQdVXfDEhbIFKQkM7GyHS/Wb4pASHESd8GuULpTtpfQFrqw7QsTWjeXVQGJNMdrKCaBEDp\n",
       "rq/tjTwYZ12YCcpWAgjGY82k8WSBo/eJJEvYDOqC1Ybs/vBUnHi6ipnuzkbOtxfIhCcXWDyzl7MU\n",
       "fbH1NajHTtxirHdAt3MkMANZnIsXjYBMl+Dt8fxSAovSjxC9GJssxgsNTUjB41xfImVUAX6YkFui\n",
       "Jz+UOd/2LmPHt9piyKVvdZffgahgvPNQ/FaTWDWCKiA0frmYPtyGDJGmdAAAAnQBnp5qQn8JIdfu\n",
       "8AB9MJDB3rI+n9m3A7SX672DniCYIWwH6OMt4bLoGBFCFsxxWbDPVaAmApEBD2wCokBfaFPE9ewX\n",
       "iFqumGtIdNXGZpj3cPFP54/SLW1l7YTJrx5HuM2yd5Miiw7jnaT6nuLEgWuPjYOSZwG4tJbxW/gO\n",
       "NuTPjTSyRsF9v9c5PVPynkP2uEXBm5JkPij7gQYp4yxnf3xDSenRBaLW0t2Tzx7kqGvZzokfOZjo\n",
       "xHfEUTMt6kXHXU3QPhpN2/2EYEYCADEPRpbCLyAAZ2ZiyscbecJ3YaVWdXoFpwn1tHJrj7VRmgFN\n",
       "6qenDcoqshiEExp/FQZlZNyrLI6Em6GnCh4LEoOGnDmP0D+RrMrx6iRErrI+R6LlaalU9wW8Lw3j\n",
       "DaosuyQKqLJWwWv8ZUu+eUgQt7ICfJhIOqthW/k0dvh2rYykHj5Wi90dCVAea0rpAJWGqz+FRrBz\n",
       "+qGsOfAP1AUGFrPadWJWa9s1UE4dPivaUF8sZgkuxVP0g6hlw2DAEQEbglSx3IjhN2GQBdjaHjB4\n",
       "kdaYQmOeTuivN1/DOSyvMOVptpxXa2p+ttHZqom+MjSogfFNW4mmIXg+npEzyxhAuYJBBDp5/+S/\n",
       "IM3cXrxjEDEgWMCeeFMwjU0o3H182USNeIHB0wu5VhFsRV/Gb+qXk0r5kGBoe/6itDk3BZsTw3R5\n",
       "zdrdUpA7ViQ/a5QsKmlyxRgjwYUxWtuXkyEYdvrrdtL1fK/nqBVgfHjnou74BS+mbNfFfRYyRPxt\n",
       "hO1TD+zmWiBAnIY3/nE60WSGtIPeqDlKnFdVrdy1Zbzj8suEthWDNXpQ5poeWo6AAAAD+kGag0mo\n",
       "QWyZTAhv//6nhiUf73AFWN9+m7ODR/HFl88U6fl9T7542DPTAf9XT/Jm50Z/Rk6feuEBfGgT0g7S\n",
       "inRJNSrZWaNhiwDxXAL808SwJ2u7LQ7iKAHkeJhMN1PpGDW8ghYRSf0asNts5qYacK5RCTpqY71B\n",
       "XT23V7kbgh4/+PQFM2/MFsfve05cruhxHMMnmmFD04YuaMBdi4+EVTPZmeZwIOTn12rDdTO7H9AN\n",
       "VVizVr0NO3ELm7fS5Xsb9B/bxkvmox6gP5yFxTg7Vb0ZnKNPC5uU5FhhCKM3h0e7n4XJ5B5+CxV1\n",
       "7N5tDGydnuBzSKb9HSnxHYDyAyOp1RuUKzP4Nq61eoTkBUlCBOFIUEmJBSdfHbisU5x4FYbtACXw\n",
       "ADKDKtLn2bGrEvmSGyKG6bj7RzmDi1SCuAxi+cyhiwllunOZP8Q6eIvFa8tDArqMbosEs6A4V/7h\n",
       "Gf39PRESmcKBbnhcHSYzO26zjz6tRNTySTReQITfchaG9io0YHvrBIZgeYKWeSF8v5dVmFwdcA1D\n",
       "kdc78Q7BdIZkuTRxOzJHw+S2eJre9v2Mk4k4GgL+bXZvB8oeX/XSAx4TO2QXBawJFYTboSDPzHFu\n",
       "lfZJ9ajuzszq6ax0tHaAuXVKWeACn2vgNYOq6B16OrlRGmlZZHxPdUErgPABEiWBJwKQZeZ2I/J9\n",
       "DPa0hr46b9IZrVvQ0sYLQGGzezmcEDqCqJfoQfGVOP3dtPD/NLzEjS8tN4d9hEtcsBdi2n5e79zs\n",
       "9XMhy7PAyg53jzoPrEry37fW8iPC65aE7fiP/OljhgjUIWPwBB3vPDxIk37D1a1Bwd25Yalh9HYQ\n",
       "7mMFsv3FZtc4mBFAfwEvqvbBcYSnGlHqdOkq4IxVUQ4ay9mhlCEWGZz5j4cpsn+RyQr03mG9zjFy\n",
       "VpY2/fdlMyh3SwjrKZtcHMQbvwJi24LIJm9tbnWbb/CROltzVkA3VQjrMlashno5t7YfzQjz7QKI\n",
       "wsu+3lvlF56btRkT3TecbAji8gTzWB0Rp+uQHjt6xDSNUf2vUafeYhMI5Owk95XgvrdkXVhUyUQA\n",
       "iIzeCpwFoCmxLyOUGKvQTxB+lhm9yLxd4MAK9uwR3h0L6GIH8hZbQksDm5wfXLgwSS5u0zVNilf4\n",
       "8duek9Ur/BD6nNN5N2YtGnTlH+WtVy2RsxEX3TSv30LXwCdVU40xVLRMrVNY81OqH5UFAO46i1J+\n",
       "ouvp88Z2yGoMi1UJS84S7No7rBOAnqaruz3FdeMjsQIQ1aGO9YDe2xJx4mnK45+hhu6RHZuQnK05\n",
       "TGpQoiV9NOFDhBQnylBjSFiKyiE2Sxp/a3jgJcFQ8ODQA+OTUs/3IW1xI0kAAAPSQZ6hRRUsK/8H\n",
       "wcLnWH+yh0UVIg7QoAWhO6M+TC2Gj2P+mFhNrUoaoy8PGftGLlXsHiFI0i8Jzhaq67Vkdgyc3tdq\n",
       "uC/DdkMzogbpCfN6aKwowYQDaNvt6pcN07jjxHa3BThAUOFx7EjEVvRIvaHOQBgusivUAUQzRDLR\n",
       "X/z1cgWKv4B99UxhWo/IsxKXtWWewo27ogE9sG89EjrZflnycIL9zdRL0zDwDHPILVD0USYUX+wV\n",
       "AwIjUfzUBFFuGp4Vx043Uf/A1AS/JljGGxctlwiJkqp4fwpDlGdtr0HOKRzQfpcXUP2oCEsuLOrm\n",
       "ESRMj/mE19Pfs1baHqgS+my6VTOOeHPtYs/5BGfoew2Vj8aQd3iOR4e3/wC0bhn0pyC7hhoaTsem\n",
       "cSApscHqt3j1ls+WJg0+0BJGSgv6BTQu6OZSPYnKKk4LaLwb/rVV3N7eGu7VSeM4uhycD/R846fI\n",
       "rFxLCMd22WFx00eXD2MhXHN/nGGLpkIpeWPemPMs+Heo7Q+P7mJspHlJc+GFILpSi0GlYjJ+GRHx\n",
       "053Fyq8m+6jkQusBTpYM9t47VSrvhP14o0UNSmcyl97I/gaV9c+FqhfwxS0Ur17gIOhb0FKXG3Ug\n",
       "8+hkLnN6RLYPYCD4Zz97SXOPVajd7xqzckW78lMyvchxhIOIHfutwRCcpQQsJqe0wKPk5o+HjpNd\n",
       "aFxpBf4PsYfKd+1EyjAYNgaLqYAMpcaGewd/mTX5RC0wgehj+qCCSpf4uUBqvMsKFZ6U3FDE5AU6\n",
       "yWI40JK3iTcfXBmiq7oBTNQDqBfbMcqGWZhx3zf5tkuolWtyTKZAOlg/BBQfVOwUi0BWopEDpwxX\n",
       "XQ9CbkEg9bwd5084ZMSt4bHUQS8fJ0ghyjp6d+8JV//PnrBtgZns5em3kYpcwOM92LgO50OerPgM\n",
       "wfp/sJoNxtPUwN5UkzsJ6ao1E6/Q3kGuFsDZ5YYwtmmrjH3jcXdO2/jaN2gOw051GhfgOghwiz08\n",
       "iC7KyyCzXQ3Yo7Q57im0lNukwFH0UZAMT5VLSt/noDhbVSHcYY16DkVSbu6jHBKgMyQ5FEgd55bI\n",
       "rFsDC6gFydhXpWSbcqPdfzThcdmIEa8JloI2lYJV3SsycwbPoA1gmie6RRobjUZr1NOb0ycZV7bG\n",
       "+6/lgO4pjMLJvsUi2omoYnC1oZ2Dg15QqKvhm+EoGPw5Q/y0DhD3BjcAqLo51o3f7AdWqTMH+U3V\n",
       "lWEH4FhBvPpxqKw2D1SVPtjnxSHjm1hptp0Iy0B81kHVz9Qj93m09PU3fB2DR0+2lEeUDh4i6L94\n",
       "AAADSQGewHRCfwhdfnnLFfb65JAAh5Vhfs4se4yWLbdSmfPt9xGdmUSk6StNksaMwAxrJ0N0JsFJ\n",
       "OieGfuifD2MNixIqAiCSLs7bijoBLcP/u93ZoJiwWdpE4Qr5EONBmfYU3x3PvmUElif1ypp3nIm+\n",
       "h9KElsKtvaI/CswV4VfMxs245B76eSThs9HhtkRw7togajqX1sgIOf022AAAE19/ZkRBLZ7Synnj\n",
       "WivjZt2xIBdaYEHLx4wLbcCKg4APvyCHrh6MO/OsJ2IF9AIdF+XyXAdu6Vget3JT28mviabzl1VM\n",
       "rmUzAAADAJ7UeWq1+rtjEUmSnQGXniaRd8H+riuxyB78v3xd1to2MbXHohXt1ZCrolBu1RLh0R+p\n",
       "eORTaKWaMTz3w6n6xUWJUCz6JbLtoxOPbixj3lmBnyd3czF1o0gVWpCDx6P0M2TEyKoBiR1Op12C\n",
       "vl17udz6KyHcD8BbdUz5djJQQRFDxKZqubrFT9PlbRceKEaNBgDEyuAljdAFydKWQLXmAkYAIp2t\n",
       "lqH699UtE1aVR4Fp478CzE6OyiYSjVfoNLYDGQBV1Oi6hpahvZ/qGKdHS0zErvoGFTnug7m8Bw8H\n",
       "0jAtj4exxqnZGeIYMLx1LuZxRYJguXI2QyR4i5vNf2NIDYe4zRTxrDiL8/cpGp9EPx53iRoaz29u\n",
       "ZxflRiBN9ZJLaggAAOOWt4W+uj8WAKpALjqVMMIA3GJYtG9QJsvq2xOlaTYRhRQhObzQgDMqvxqC\n",
       "s/QdiXdm+yk98mzYw68LElxQ0FfU1iA0VeC9g2OUxIpGpc0OxtBmBs8RHZgEY2X/4LJqhP14YDOP\n",
       "vhPoBAPpnqNEKn1Xq62qjtfGGz2ZPQRbzwOVo5WRpqW12rtHek5xd+gAgOeT/TRxhz56umk+QUe+\n",
       "BRES8j8qUGlpiBKlBqwB/V8Ci5KnZ7p9fqLmcbeFTqxCbTkuSE6BwOIOvRwHdGRB64ohp/qe6Mw3\n",
       "zpXoPIxTHFXKJMrBJE8fG70x5Y85F+5i7777fvzyBMRYzwkmFuZap6a9WXJPsQX16ksQhl6KWQLt\n",
       "BKBOxplS/X5dTIkoB/R0GGN9fxDP7wrhpGY7vLrefKcQwUfdf2W0tGCn/tsbA5UAAAMmAZ7CakJ/\n",
       "CT8csRLH1gBNWzjbugB23Oi54T1qJ0ykKY24uMA8ii84G9OTV+by3LvzplK2mlzV1bQk6BgaE+kQ\n",
       "zsIjN95/m4YNP7ee6Xx69LWAfRgxt9yTwQaK3Pu17aGRxCO9W17MQ2o+c5YJiiLrDRCe+UfJh9GX\n",
       "X+ORvvdTVOk7MDSj0UkuM/enNCZazQszoAlD2nZY7yyKfOZX3pJR23TD1oXlWKun5dnvwN0Yk6wI\n",
       "3r8s6HuGGqrFi5O43/1EymvyRUhIdZX1sia1TLqgN/kd2obnVvXy2YNq+JKGLFHh7sviIP1IDKou\n",
       "HpM5EPUCQXvJn4DKoC1GjiI8IrIR58dsysXkVRPkSNzSIuIYQ8Gxe0/H93hGv3+rSYAiDWzgLuvI\n",
       "WMmBRBS416bCVgsFyBO16anMcPyJS8QHMXXpVoWvTn+46b8I9dT/MsyPdCWv7ipSGxJLP6xUA+Kf\n",
       "R8Mr2scEy/HLRxSpd84KTDYoD+ha70kBe9XSfLVoTfIak1aQvOkj4eKCkq+kP0aYROuPDbVQRv8K\n",
       "usm758IL9Q/N68cI7749gsEqSmOTosU+ruh59cR8jacpTaH3XoKiFesgg7EPmQQezyULtytSDNAg\n",
       "mvziRb3h2dzJDFSDgAMfSlvhynaO7KtnEMyUAeVeQZxV2YYsqZKeJj413C24gfX+jzSwTIn0pXWR\n",
       "lxmNRIeCopeePunB3F1dYLSzNCznKrGMaQn7xxaMrQ338uocKTrWdJhxEDW6kQHA43WVC+Mgaqnq\n",
       "HF1uqjl5cOl8PsGLTZDFvJRakSTnUv71tH/2lKVjfL4Gkouso1YjbAYBiQZzEoVvj8AH2ECmJntR\n",
       "11b3u6mrby9ZY+yWQibg2/J//OxT9qoAUyiYeHs3jP8fwqNb9BwAjKLkJclPOsoZzc/Mj0ZBOVTO\n",
       "TUZtN92PvmigtGKa/6M72YwQphhL8jv78+yjwPK5JY87U+G37Y6iy2isS1JYTriVv8q6DQzsmLsQ\n",
       "TWTVR8VJzQNCatPyqDdvKasWWS3itW3Sxh2yphJ0CbfZItvo2bPAPgmh0pXZx8DZL1QTR2jF0VBo\n",
       "JGgAAAMuQZrHSahBbJlMCG///qeGJRU1IAOZrRTvOQ0/Oex6uuFXqWCVtg1AMnXWmedW6cmLF7xU\n",
       "+8zyC7ag8/3cI869jRmzPY/UN5yxq0uACHE8TX6lSTFBGUr6/k7rysLIV2/Fl4zGEIxhSA0sCCjO\n",
       "ql0cQGUsa5ypy4T6ToWspJOHdfd7PiMCsNRilFgz7Gh5KAFMDj9NY+F87yPW/yIrxOd074A74GjK\n",
       "on7zLGBduAOgmO82MWq+DUOrP4LCpeLdBvCoY8xrGeYRYNYGRbLknKgu99katsodEgq/c8OnJfjN\n",
       "Iir43jdwG/gLk9j9fkja0OVmE3q0+XA3wJZPzJIBXxI69BYD575wP6zHEKGCUu6v9lAjGx5gQBrM\n",
       "7Z3YvylUQ9IJxg0ApUxa2gtOkMFQwTJeSxsC6DBLQXZOvmo9AzBT4BD8KXdf9LZBlhWJXFIXWHj8\n",
       "f8GDnARIkawKqCASSvrfxEr/KYLBAES3Nis5Rbr5955lH0p8ErllyJTLu9v+w5ppFXrt4SLDlWih\n",
       "t6roF2eBHizJOpn1xaxuQGsUb8dmIOIRdB8Rm/Y033u2q3LlibYe4kaebeOTei/h8QnXu1crVwzv\n",
       "CRqOtReeTyO9GgXOZ/Q1wuKmQKh+a+kOrkB1QOLWQR4B27Cu5asegbmWgzzWc/HTMQrK0dwkikb3\n",
       "5soRfM5M9NUobWhAURaQq2cWXzeITiJLkpbtBPL1TTNs2VihUbojw5/wxYVGJRdFQYQr/C7jkONA\n",
       "9Mxo1zUxDkf54ylcLPd3JCYgq06zvE82f6r4pd2vYdoLZcO26yma+z1GCSZcT/4EWQNSNEEOGEzK\n",
       "xhY0+R+RjOYjdp8nP/c3ScVS5fo5nO+R7uv1MKrSCFRDr8bqFYeTI8bJs7pqFMXUXMFlGyDY3Q0N\n",
       "K7xV0nXeLOSfFBx0dCQqoyy21+CewzBnCsHGohM9JsIluw01ZJ50vZFWvPxRUoAg0r+Ewa3TsRU8\n",
       "+bOSq4FEHh4LPcGF3EJq2oYVm0SNfxQFGVRhYTISQJirOkXYTsICITYJ9u+LcZ+Kryr7VegcfI3Q\n",
       "KkRIHgJ0WZ3sAatFhVR2ZoTRX8V/hQAAAdpBnuVFFSwr/wfGb3ElGS/xkSzKegAiDaWbbhoC+n67\n",
       "rZTYYmMhOFOWwN9d2H795/EOLJZhEbBAktJ6oiHrxPxoMe5t/Tkuy8I7AsEpTwIGST64bGKUHxQD\n",
       "bsoKJ2Si9wGh8LWDHggCx7Xf/tRHCJ/T9xmNANzia0tq6gX77FCLF3HvYzWYtr1vi9bbfS0WCBjk\n",
       "oRCqkESmNO8Ebih0AgSxewkjivwEc4KrtoU+xNtQnsW5PFLTnoMnoE5Iy2UnuZV0Ibu9gadq29AI\n",
       "/1jq7FrMv+xG1L9Bh1P5YuWniF6EtsD4XPtgwlqWwUHGDeo8NvCFbHR/TUSRyqiUstzBj01FdSJP\n",
       "/ujAykNw0ZCt/pC5IYHzVt2AMLLiSrOSHt0vx/9V7JGZ2PvkzdHT24wQOAm1JkCt770SIoaqUi6w\n",
       "hpLdDVQFwyn/X1EdDVLnPTalSeQxZZ7scnwgS9edV0uofVi1hnMY20+izxMAJrra/zHVLWoFknnC\n",
       "+n6yuaSzZXsSaASE+Memd+S/w597/wSZdGlcQoE1Za9GryHebZu2LFjYUtsHSjK4qFMPKPCztq2K\n",
       "SiRUnOK1OTiCVvECtje+ka3Pp70JpL/CpZzChPf8AEQBQQ0t3ubWPjW1o3EAAAGaAZ8EdEJ/CTEl\n",
       "8wJuhSTf2C2gvUAH82bQ1qhKyr7xi7/xBqLvRjVSwtp+ljnbZEwruL10VL4BogrUvzKRBqYHgy0G\n",
       "r8VRE64vEcvYRUJpGh15bolbnRsOdN+hePp4G5eNT/5FwGKJwBEe78Ue1OJ96iZ4NZvTqx/9cUAe\n",
       "K8XJYCwo5w5CUF+STFMU7czxoln3viNiyqcfH8yUk/IBSuIx8Btv0nz4IXwtGc8vggiB97venoHq\n",
       "hd6fp1yLIYAFLy+58S5V4pwfH/nbhNnNMsxahN6Cj04RS2rPY2BLDGYhYNXiCTCtGD/KufCCXF2o\n",
       "6Uk0kMLpNOp6eOUAAjd7steRJtUixzd89ql2Mf5s8ORnFcIALkRU7Tp9/ZKnBENIulRSE0jAlrSb\n",
       "pb6BY0XQNtvD3SPfi1+Km6XsSSc8yZ/3RbVoAfzTQhl3Yo3MmSQqE0e/Bbz9KOr9WVGV2asRaEBk\n",
       "efFuecXebfJdpgMaqfs2KTex+tQ4Of+y9gdgGPRs/nnmUZY2niLg5LFrG0CYLWhWuzYfCK+Tac06\n",
       "PeEAAAGMAZ8GakJ/CT9gvifbbYw/AAG1CldN/SBQkWnfOjguwtP4yn3gUjRn1XQ+Fjrx5rMaDfOU\n",
       "IGsTOaJ4tKROPHrug0aF4t9IaJshgP9yOJESGx94QDpQttp6eOErwN02JMglwZ8AlhRlHFWigTxs\n",
       "uCtywhadD1gDFK4BIFc5R0ClCvPZHagWOQiXC3hxO/MMrzKwFI2ybWJ1NBg88xUG2+ofUWxnzRPj\n",
       "4GHcIoD9VfInPhTLkcc0bsmql4W49iw0OVDOEIFvoJk71O+6ud6/hHpw3Nt5ukYOt53/cXCrplN6\n",
       "PgRF/emTh27yFrcO0ko/pXdeQfmhtM7vGoLWPqVt/gIDs+bf2dT8CtItwpYJDxBvJsYXiTUo+p5M\n",
       "Uoz6fCVHrim3i1Y44TZkJ2WQTcDW0Vb2GWfiiZJ5WWaT0Ci9J+zyI1vOcWmGJtzuT6Q92YypQApB\n",
       "sesZL3/ZoeueNGmFmYP0hxVSMJ5r98u+6qoUrCJSyA00a826f8mllaHSO6OdY+2b29A1KO0cNFmh\n",
       "+1zdAAACbUGbCUmoQWyZTBRMN//+p4YbJYSxYT/f1y+gA5mpHuVYU57ekyNy3ZdMu49/jr1/r/zn\n",
       "YiAZRl0QFuA9mwkZctn3pXSIIvNpCLTNxD++JJ3WniWQ4AqmvEa+mYs7UrsM1E8yWUhjo9FqcL7e\n",
       "7dMmryaNY0Xrz/G4pUxxX79IDMrqRjz860t0QZtN221QV8zhCJqkn+6FjWDC/BZys12xmjNmFnH9\n",
       "B/SckL9PjvpZ474agxl5I9Z6g1QHWwFvT7SX7NeA38s4B3yaBU6GRvEtNSltDho6p8MDcQpWnrCp\n",
       "0+tphc82msBrYN7Q3g3KS4ZN2ugL7L7tcX+KBdCVXel/7uln2qD5UvmBl54CErsCg1V0Pgx0fRSD\n",
       "+sKILVfI6yEp3Ivf+/0ATiG9kT4B7r4qcB++03ueHfrdf3i2BZLxFXNM2YSc7bXqxT1cj3h+gG/V\n",
       "3i844Tdlpa0a4HqhFoDwxbFNA7Iv9ME5FNOOuiAxqdaUwa+vSsOBDZRVK7sN4GX6XdmR7m0tVFXw\n",
       "KNHzbfbYSwxeHQFGdLKVOM8pR6HmdiAKpvYBvmVLarCzYyzWmGxLBmUz7zrodUgfuy3r+i5EKdP+\n",
       "O0SLchcA0HQNRZfFFFZaUbb/CShQiXBoKjpGfiu369YUDuK9PP4j06B0b3UzuFFwru9FXiEkLucL\n",
       "kdxkNIKOGfCS8FJLIUs4vPljxD+zFuFuA9mzF3ou1FXumZ56sJ6iKMTFNA6oPg4uE3uT7dnn/YnD\n",
       "SsFiUYSyQYzow+pvNejzC2yqog6lnXiub1qaRbEU+eVna7kVQ9ZY8b67UWFo4O24EhMT6pDFlT97\n",
       "xQAAATgBnyhqQn8IwKxTwAH8WjiQFKO2i66eZ8RLfXynHCKTUskjceP9PY2CKTyf1a8vigK7TsDV\n",
       "4wmy47KAqMM3J8AASV0aeRiPIK40M5T9jvwjWGpaoO+Uk+IAoA/Dw1BGo6fe0iLVwChijx3IO0go\n",
       "bQFSHsW03iRGKcCZaUrRWdmAD0qMyNNvw6AxAK+RNo0g9FQ972eVuPM26ux7DiFd43CgiyOnnKbP\n",
       "cW7VjPHa715owk0HmpCFr1z2SlT+/k1fRSlhoFKV014f+Bzdw9jLtCrR41NOInrAqZzWYrWO4KhX\n",
       "Qn/zoQOFD5ciGFGBkyHlnbDMdyqxtFucjiPeA+qwnEWDQaGdONzVfZ6YdXuK5gIzO/VO2RlFt4lD\n",
       "hazaOnqTgmWn8qFIEdiSHLn9dJEGZHPqGSHu866/3XgAAAHnQZstSeEKUmUwIb/+p4V8j5Ack8ej\n",
       "4AjUQcswVK51rTzDC+7Tq3nJwjzdFeVQxuN5r69Y+H4e5uP5wkfmA/6Bm2Ljtzzu+DJ4Ciz/UNqP\n",
       "cl72qVTBSCRg8deL13mu68HldasuUAFfQR8AM8DlWO7yLor3X21mW/HNa34LN2g02jTlmhibKDz3\n",
       "TTFnAR4w5JDfv14WOG6qeM1wEbd+RHX2xP3XFMgtRwZSFgzN1A9Do3EF4Ib63aar52YPDF4sWJ0X\n",
       "XcXPrmdTNaCVD8bKJNSQ4RIuq/9WV4dQ6pWjc1VzmzZcaorg0Q/wlRdrcTyXNYb6uoHpXWL7keMj\n",
       "iSdFjNnDljJtHx/NPxzT9+pvXkws5UwxjJKxU26U/suM59Y3BQ6X8Ob+sz/KV4pGXnvDemWRbNVn\n",
       "1NWOpFEx8ws6QtLFFtFp0WSarISe7RjcN8BE+NTm49OEwDls1ja3kIlxfDFwoxJgKree/STLp2HV\n",
       "Kjhi7++aj68sCogDleHw8MQ+HvUQUw0KwSmzsFsOhReI+6wXLppsY5yhtwT3mtB8bx/hn8np4HFZ\n",
       "65yNWo2YUAQX1jeRVBZwYApPmMO9g/ewy/VyuvXNa2h0eUddH6fvqIlJiHaeG4bWfN/JOY126YJF\n",
       "yuL14EDuTn+bMQAAAXhBn0tFNEwr/wcent4QkllLoWgALqFXq9jlCtD3rZTY5DPaKggzsyaxhpOB\n",
       "1uC6FDli2gi636oqZ7w0Uod6bt2Cy5fSE4RY0+l+lKgBKfweMJ1TC+54EKaCK3t7PoSh5JTHL6dy\n",
       "6VDWxNLgRr4K2FN/UvPrNLGpzCc4qHmVpdRGX+XSDhjUf8QUQa2CiP9I9xepCAvf75s8/h+5cfuE\n",
       "bryvlALzteuUIZpSpY/ile9Bu1LGCq6qIU8RDmMHjD68ZG33g5dMvD27kOglgWw3+6EwSwkeeHkp\n",
       "wYoaqZAPU+JfH8p62R78wSPxQivP+tt0mdFt1JigkNuBoSEu7E69sAF+iZZ01q6/r1JAhx7QGEz6\n",
       "Yg9ocULakJxapi+q7ctEskRcAb1zcexjLV0eEVCSabmWP5EeJZg9NcLy2GGqU5bykbc4B9slBP+X\n",
       "MhZmciCXBQWt+zoN3gQH5OKAidqQBPffVvELCxucXm9E284KXYRZGpMT97UVAxhIAAABfwGfanRC\n",
       "fwh06FB2rz1ehABEC0g10D6aWwdCl71tYej1nWZ9S7L8VdXYnF+FlzgCXFfg08Ii0elesZc1gePO\n",
       "APSzOnM0KUCbATCwi5/wRgUM6bT2NhigYSOyLY7gf23xLpJDTRz/QFxUavGFnnM9Szl+0YzDUC7P\n",
       "9vIINQgQ9dH4XPHV+4/Tf3iVNWvKaA6+gb/zL/MFosnLywODGL58URc+jcbDc546xHrXUugE/I9g\n",
       "YljcnZHZyA9+lStYnGeqj0ITRuZ5a784I4TyahY+WToOKNlgUd91NCVT9FvA82J4XBs/YCLon98I\n",
       "wcr4QbHIs8Z444Y39MQm/ApBV+P0IOgCZnBUDMO5VTdkE4w5a/NJMl+Ef/CyddL1p7BIv9gZY4Cn\n",
       "+zSCzElSHgQUJe7dmz8UPpn04/6qLCAZN5v9xN/ta6aSDdZU/AvzrZQUq16Se3iv2Nh+yZh7qy7q\n",
       "gOP0YaPabDYYNwnwi0A5CDtG9/q021f68rOqoYVdo3DxAqWgAAABjwGfbGpCfwkh1oF8AJq2fwGP\n",
       "aOPPOmnhQR6zbG9Tm9hta+DjXTamuysEzXfKAj0FGCE8joyZV1xyLczhAyRzqSV10EDMKRIWrSbi\n",
       "7fmFBS9EJq0wdO94iP73hdhfgGS6a++qj6aRoouPLMZCuGmOHwgwO43W7rVGHf0q43Zau/BpfBnS\n",
       "wfxKQfWkHl7fI9ZMbGTEDcLssHoCg2O6q4dg8gM6sUnYOxEuDXkzD/dvzHiyuwU26Q38YBkrqQec\n",
       "6HhB5ArYm51p3tBcYxIXZQgLHhuzngO9uz/4afzAyn17kdW7Up7b6xI9m6j7VZPHV3oF4MQUq3AB\n",
       "94qk4i73dXtYpYDvVDLofvWfQAAG2CmRbSX4Q5WzJdeJoZ0TgwDXVdgUgfTdUnLMN2XGVqk1bcXg\n",
       "qRKs52fKC2CW91BQ8L1cv3kEl+F9srgeajllEtYVPG6euYFuSwBG4p7eJ+ky19gljhiYijCOtig0\n",
       "xfr8L8v/1W0HNLmSY+Y3X23PRp5lqY8j6SeS/X6UvT6ebe3F17gFoQAAAbJBm29JqEFomUwU8N/+\n",
       "p4WAFOMc1b6ACLQWBzj4FF7f8H+sjF4eCkrWVhdeTtuPcy3jXbR9bB2w6XIgE7n/3yK6uIet4WUR\n",
       "A3A57C2bpR0zO+YCR3E3FX84b2jNZR4NVxi47wasJJpIJR0QEmwT/8En6BvgIfDD1Y+XGVCP6jeH\n",
       "flqLahq+NQUNgBUSCPemwkbLfv7Ff8F5xtWglwMZzGmccOOIZwZORv3NPOkdg7UKUKoGzrle1its\n",
       "4bNL7UsHrAywm21fB9g6HMpHyiTnnohbnTwRLSCalMCDcSHDT3QAjtnu0aBh5vOCcMGu6aFIBmLj\n",
       "HfFq8dnhRcOr2iFDKVDpwvqUQZdlXSlUbfqwYbEc7NlnzJ6tZv3/hkHJTK7E7OLfU1yUUsGtyKsT\n",
       "W8NmMowUPyAhvXA3AqBkmIJAz150DZ8mEeWO+O0qnHv6NUKGsrZF+6ZptVc09QXAcL6u6lr+QyDS\n",
       "Tzfc75GfD9ad/5Mal0oMK2E6bQdQygOx3izVt7t+irh8VXlYQE3VldPG+VqR1x3qwXaDzg1AjptM\n",
       "SGpWBkh6UTaER+/tWvVKbhK8U03wCQAAAWwBn45qQn8IbnRQfM2GFCACbRvC9HL2phg6//L0I3/s\n",
       "6/qr0+PINjORfsvyAXYZRnt9PR5XCnIspOhvZo27yEYUkOpWY8cMx9jDB76qT/GFf1MEJ+PuVr2w\n",
       "YGwrFpfJkA7XTS26U/ZHSE7jhZXm4CCnP4V3O2wsAoTFsTtZNtjBW7hKe9vfqMiMlC9sufVa91KZ\n",
       "unlisiB/LtnD1t4iOY9KfnIPKRMBqseqkPwLKs49MHvRrLjgW81ianbFxaFcMSmQ/RoWNdLjKcpL\n",
       "MaJB2w4i5bE9TNrqIcRoyXGU7ob+0OoAeMKEd3K+i+vJOcHTwimRcI7xIEI7myFhvT6zKOaGKs1o\n",
       "0ebh4SzpHhkkARpopb29SvR9/O00q40jey8ONs2pwHp+fpnCuC6v1OVL5yfKb9iqsy39w2nzlESw\n",
       "BqeV8qaQjLTMa+pgU4Z6zyn4m3ZWfcPigyGvvUDnjlam+w/GTh4lJ92XRSUPrFDBAAAB8kGbk0nh\n",
       "ClJlMCGf/p4Uaxk8o+QUTvgABWHiCWqniFCarwtq0Iqvn7c2IqL7MUT+5xewrUE89pbXj/JJMezg\n",
       "OZEmaDPwRoZ53ty9ydE0PPVSHJjp6CntZLMkNdL99D6FVRRbpJ2kqqjwINnT8oOKF1YbZ+YvQHTp\n",
       "Ce+79UOSbfpUSmaqoQe6VBdkcZbyEN8z6I9Qo/QTJ5o+gU8PQEhkaRzz7jS3AIfRF6zL/vN0sEso\n",
       "hrvLriZsX7O91fy/7TrUKdPY+s2EtsdeEEycz+fXfcQB8kfxDyf/C2cLWf7VROW7J/csLf7c8558\n",
       "rmMGFt/Js+I1XSwYcRdd3HkkEhyYm4ZmmzR3BGvYbJbY7JxrbwXhbOKYk7oXNECrMNiZ7CgSRyj/\n",
       "DCsrlyjt0/15ox6NxMDcPDCUR9c/CVxr3j9t3ILNJnjDCnDzXDUOhlP9A0V6JCvB9tKzkSVTXhWJ\n",
       "olRJxm1YrtcQU+nuhNQzwNxhn7BdzaPzBxrCoLm5SDEJFX4GByw9hI8iasC3lgnfAbCFecGxXomr\n",
       "op9qMdU1lt0epJiSguaVIVaUDL6QgN8eA4p0GoWTGvvxGuSeuB+HFDvMaxtczxWpKax7WHWtm4CC\n",
       "9ChgyRV396Dbwr9Y1Fb2DWFK6NnInygF5URK98Z/KauEm+2rXQAAAf5Bn7FFNEwr/wfRnAAbF6az\n",
       "AJ0DZbd1kgq8jJqmzFRnHRjY0YGfB7u/8MSrlUWzJ9dEGgRM6u3BYhcrqXRx41+YjoWiByNxv3uV\n",
       "nvVT+JlYtD1PQWd659bCU+6RmZdrcthgNWvDChot2qsmpSNpYL+qtQq6NNtVnNC3jXpZf4IalkmK\n",
       "4rL0qJ4CjAVITsliMHqZp2mi/tGvP8FeiD/+GA4DcquSYlOPzfYdxhY7/LuQXtucuSeSG4Qw/3eq\n",
       "8E5EQiNpP8NIw7LfOBV5rWA2LGp2POf1D1i5FyzxUNd0dXajfyFs4ZhV+Ueg0FKEPoY9idLWqMo8\n",
       "y11M1a59V1yeJheFqPbx5HRFwcvlOhLNRfI0W+a8gCYwaDdjT/hahNM3orxNhRKmtk3WMPeEZ+0O\n",
       "UwAb0u1HBssAPaf5w+pZj7/vjNYzmYOf371tADqSBlulMah7w4w5xhkOoWPqXcZNn4MuBcZ1afbR\n",
       "zoip9x58ylwl/CMi0D7TwSFx5XrAf4PEogdSfxZwYFlsECRcoBIQ7uQ0QlydwHNuTeHrkmsLlkUS\n",
       "cvfzOj6JjiR5VSkTqlJGI3IdSXM8G+Co2jq0UBeVLI+4N+LaR3bynBayEzQSd026yJuej9DK4Qz2\n",
       "EKtzJN2cIhl0vEZf6vrcHztBxzGAEUwwgEykwPBqVg9PS1MgeYAAAAGiAZ/QdEJ/CUK3be3RTPG0\n",
       "AEQbNmUACGq3J3Kot/8Q/b5nOiaVUOz7i6QTSasUOlXpIFsgxhV/RoNv1toYoQqoNx2XADKtp3dW\n",
       "fxJ5I1mdGbPFzcudVNDGTsm/0afo0j3uiUFqbD4Yl+LQfWtRFXg+GEtNaWBK/zkgTn/IFRgbx61v\n",
       "iMqPZjzig3VNan+9vkoBSsOMZ4Z8mReW/tgdPrEzkOsCuon/EXjtLMSPt+nvYhVk0gK4deKNn3SG\n",
       "PNKYmSc8DaBfKVAF+2xyNCzTn0hyc7EsLosdnqwW8Huzo7T/sR0bFFtWl4fuXpfWggeNdWK08FIg\n",
       "chkfpV5OJZ11aIIVcIFqal0/sjUZ47BV83Nb605vkrQafOGM8TvZ62QfG14a5PbjZs3DwatRGazk\n",
       "D4ANORKE8RfnMjMPKovFmav+4GfEjBV64vSmeBGxTYEphi7GFx7WNMY42Or+gdAoFcicROSSx559\n",
       "spD98mXhVYCcvCZl7HGEI7R2sgqFNFllXNIlxuLEtDbejH6W122SK3xlryefF3KW2Xn3Q6f1YqDR\n",
       "zBcfHQAAAWgBn9JqQn8JNSS/I0bMHhR5aAdhqs0q8PJH6wATnYP1BHyOHtdnhuijDSR8mkCfdvX9\n",
       "Oba+UeMbUs4L/cqHTo30EDf0cL3cx+HODnSm7VuYke7kb+JKL6MmWnDHkr5WVSXGggKNw060MLSh\n",
       "OsYBBcEm1mDnAVnx9qDakhMmC0PNdZUVpEHNwjVFcC4Qmhu37+7ty+z8mDAuXg3MKQJmvbhzxKzu\n",
       "oFeYzOWD0zmfHHMSBqC8eDirH4WXsFyrroMRjx0yc8Cre0IG4De0j3kSXYjXZF+1NiNkSDONgc0c\n",
       "DPPh1S5A4jwv6qxQZhnto0n6KG39fGV8fIrMmAgtfdqIE9XAKDnyMixQ30aDP7hmK5nU6o9b1I9s\n",
       "jYM35pXSg33eTaGKGd+brRaJ2icuKy/Hn5/dFs0sQ+JrGEWM4yBrQIzD8VLSnlzbb4ibh839sXZI\n",
       "9dP35TAP0M5WrBnRipI18pY/+5DE0lQoAYgAAAFPQZvUSahBaJlMCG///qeFmvfOV0AHRV7KRc52\n",
       "IKa7FIwD0OfmWch637kcfcYxPiwAgU4um8bp4BjVid3PCBQPjBLDwsYYyBPsck1oEDSUd+eWesnv\n",
       "ubBYzzMly2fmusQPb2ciC97eE0senAIrNPKDryfwMVdb3MV42wXf4LM7dnt11A5OGh+Es/8tvWul\n",
       "M5NoBc0ceIyyYyXexNKjN45uwpGdTzXiHe13tJNag/uC/JXS/zL4H/2SOkm6i8uYBF4fRIdRYJp+\n",
       "Qo+VTh0nj7x5WkWjHQrmeyV28JKj4OKBAqqUI6G4MGp6z6/xcGXQZPWp317bxlg6nU7nvYeprZLi\n",
       "hmrDJD2wmsivBs9jrfP0l5OVNCOccghCRWetbgqHceIpuC2i5/+rKUISMGaUYkwzI4Fy9JJLc6Pb\n",
       "FSrl8BIKDiyHhGQbIm6USsRhtK2k7YAAAAIFQZv3SeEKUmUwIb/+p4V8OLW9l3zmRYAEZXbZnr7u\n",
       "mVuW6Du4RwYARR3SiSjQ1DotIXMjSur4sZNc/B/mwtqitxCy4LyTxxy3W0J5yGxk7nK8REY7HOQE\n",
       "ecHJsHG0z6KUoIWO/u8sPqKfH0pEYz3Ha6XQ1Zih/7pG+8x4j9b8avhPb1tCZJilyQGOPWsny/r8\n",
       "Fmxr1BcgKjmx9TiFe9LknWxW0cRYn+NjBbTrn1BfsSEnzt4SBfuVdRBuQnEnclYnz0a6a2mODeL9\n",
       "EPqFPpV7AMp2rOnXnW8+RjVMDMcFczGml+SXT+NYex5EH76PoyJHDyB/O4WGtq0wEENmpTtGxk5/\n",
       "Df6G1xiXcRnjpTjsswJ/qqDDL7A6bsFSz0i8jWv9dbUyax4tEslKlEu2QJuwAsleLMC+L5qAgoaU\n",
       "E/fUUk3nugeHwlBUrToPnHkItReqQ28o3yqIwRTDZW/7tzGgmDg2fAJ4CLlOvYiiHIaXn/hOiSMt\n",
       "ZeXtmOtUCnNBQjhsaDxpTXMV3d1te2SCSXY3hEafBtj99Dw5Sn2ZVX9M386XpmaK4ZFP9p9ncAEf\n",
       "Ve51U8QXIZFxOrW2EdQ+7EfVBqk818N3MP/dy2OGgAF0L5usaGtjMTmP6DVIISg3cYeF7VuDFRYd\n",
       "/Evaj7QqTi9ZtVI3xJ1H8DUAeb7dl58K9M7+jgfagQAAAZRBnhVFNEwr/wcZq/lCdRDCF6AEKbSz\n",
       "bbpl9yPrZRjJBKrpHNgO4XkkEfEk2Qu7jGXPXDpvm206GdL4aul0JSGA1dqSjp1sSe0rlrYyx/Ql\n",
       "JqgvqxVl+ZVcWCz6mw5F19XbfceS4zsK1OmK2jq8Ee7iM+fL2YrppWBuqrCRzVDZWWsKbDZcX3WE\n",
       "hQZKdNYFyIrSxJwAADnATnhUOmtJbmff4WfGi1VolQAIkDKrVM8lX6rdL+nuGL7EjiTjC5QB7EZs\n",
       "bcBMKIAqdUWnwA0ymME3+mHNCuGv+8+RTSORJTTvJCHUrtJWvSJnXtO2mi9iRurU6wZvaTqZjdX5\n",
       "f8JnMf/MZbA9q3B5zFbYdX03A+wFWf9GsTQLQ28LI5y3Ew+ta/PVvgKlLTt2ozPUZv6f7ifH1jeH\n",
       "R+hHcGWMBGTi93hqR84GWSHSbKXCgah9y2qzq36+EyFxsaiMU9vEL5CiUfxEt2/V2mC+auOS/gKy\n",
       "+LmdeIRAWuU1WWszbUm56SiyvkQLnTNV4OQrwbrb29fjEGAcPSKW8AAAAVcBnjZqQn8JIdaBfACY\n",
       "TUmTGOT+p+5ValEcDWPLV2cCvFjvdvGz6TxRCbQMfjCs87fePZ1EZVCIzcgKONfDyGeOHmdGLIWk\n",
       "6Dh6kC4GQNm0k8aInWT0Z36w+mjG2DEOgenN82ziS28RveA5IvbLumsIdnFWMRMZaq7SuB/FidlM\n",
       "hIIu2Xgh8nugf4h3EdisGU4MpYwfyb2l1gqPZB0VIYPZ1CrTd09jrk4zQZufnATlUTgzx8Ydfe5l\n",
       "6Ev16+AH3k0N+wkb9VuOdd1EZOytItv9clAbnomjJ+Glf/k3fGiDWALhr1cVjEXPnVeiaAWWfuqc\n",
       "24X9Dcogx65SXSLeZlJLeyqbh7GHB6yQ4UewkP0CYlhSG8CxMCGY+dJ1bdJ56o5pxkXFvskUM5jH\n",
       "au0pLP2m8OC7G971mpC/q8hlTftEBJKiwCu5JNOFeToL5z0WWszMgzkdeYzhAAADM0GaOEmoQWiZ\n",
       "TAh3//6pltXwybYA3IAonLjdOhrTjNZYe+Ed0Otkvy+8XcaTtkKoFm7S8JjBrvXva5XS+0//qHkq\n",
       "EkEMOl4+clU0wHnXB1g7EUp8FChzuUlirp/4HFBZ2+e71hRZ4O+ZfrVdcZ/iTErCASSnYpkVy8yy\n",
       "5/7O2awn0/QXmYKTPQ7nxZOEnCpLg6WAhRqCp/UChveNPkxTvEqzhYRjZu9j2NeFRJPHsMeJ3Hvq\n",
       "Dn8vK/bMU0XpKgz4QwaVq+23MCG6X25Aq006w5h7zyg+uH9iRyLgrYOBX3U/ENPmVjP8XDjjSCSi\n",
       "idIJQ+4x/0cBNHYOZ/nOVt742q+AK+6jhSnrqyRQ9/Mk9q3XthwGQHIwyh7Cw8K9nyMuQawaQsQp\n",
       "DRgc/Gl7FzWApRSJ94uf6dEMxjBUx7I16lDkc0y+4IJegzqOoJOCvMwpqpFhbTLF54yHWW7Hq9zC\n",
       "IcpPC8FvKYeCFN35pqmLrFbXEPG+xSrmsIAJ5eeQOB/CZIYnNDPxkAEe5EHASBni34CsbaS2hRbl\n",
       "UbJb4QIAgA9EXvjGXDsKAMz8NQEMaZz33NqWUWKVCK5/NZjy4g2bBolLx1MFZ+IdoNjC8zon3YI/\n",
       "PaaRatTefbXS4D6ZexnVGheGll1I/PhVdQSZDQ43fr6lLsvMaTW0uRjbyZE89MmxpFm7IkFvPz/D\n",
       "NO9XhhhRGPjsFSCBURqhQPmQS64sIJGqae8wQFobd1u2txOqatOesN1s8nDnzibo+QTR8pB2ypvV\n",
       "Jb8J64Y9uYrc3OaZ8bl6AeXknVA7cwHPqDAfrWs7X9EG3TvDazaUUgX+GJLVyyqwbb03wx3bPcjV\n",
       "aEbYnrSGo76r/4ClBWpIPITXWgILnYTTla1OZULI5Mv+tL146+tGnc4Ng3dv2rX4xEAWOdJVY9q5\n",
       "kwkFMBVO76fhhfdqDwO6WcMsRm3iQOaLgZlOkI3KeT4HqRdmQH5e2jylLQrEkilJASKsy3IUQXaB\n",
       "OEVQstPH0Xg8wVzPIkUVqQu+jd9Y00JtEOxUqjIeaX+S1BrDgVzELazn1RZ992BKu8K/mDab01BD\n",
       "zR6otGjTZWIrZvuTsQAAAe5BmlxJ4QpSZTAh3/6pltfoZR+1UQLjgBV0tK24/dclJX3jM61bqQ6r\n",
       "52sffXsAR03Ylf1y0NI8z/7uyywAPdrpzfrZqoCUaCaDQnIIm0pu42S2lkSJqpRyHmCypp6ozwBy\n",
       "c0zq5l6UKdhyRyp7WPew45VpeM0YwJnVYc2qMRTDpp49dB4jqS1RumM5RBYH57TSUeYmFLrsuBSM\n",
       "YfsgMcnXRAolhij2UZ/hIUVmyVSid23qTFrqFYsJcbtBa8+dBIitg8rrDhQL7VM+Lw4CaXtQ3xKi\n",
       "wzwmspmypAMI873P7Px/tkFa4mjUVfuure1RLMAIhf7qjCzvur3Vabn66ExvBSMSAKK3XclMdzbc\n",
       "Zv/psEtMDgqHrr9f4/BHlNqE1is9EMoYPAVqbGc622djS1GYPwG5U31hRKyEuBXngeQHpm5xp3NP\n",
       "dygaikvdnc2W1ZU7qwznFdFynS9BBV0Ibe3baqEXAHlRd25oxo5+SCwKLeunDDriwA7DoO/q/Ewc\n",
       "sIWst7jeDDzpdnx6a2/twSjmXck9B3EXWbWpnrlIWM6uRdud64f2g9R1V+RwMZBZf4n/vaLa5aIB\n",
       "krgUmuX6ahLmet0LmwvkZMur0ZlHZdnoMaKCk2nM5mlGNKIzb4ddV7SrHbAFpGugy+NgtIujiAAA\n",
       "AQNBnnpFNEwr/wcQjlm7Gtn6pn7ABO2u/rMrNi+UTSuN2erkssfDcN9gZ+ulL7AlZ0hkV/onn4Eg\n",
       "RbrL7n+uPn48Z0MgBaZv9GPh7ZF8gnwoA8XJz4c+4CeOEO5X4qmgsU3OUokM5p0SuGKmNefdH0yY\n",
       "oo+cqhuwYqnFjdXjIkp/TZk+L5z6c2TB11mil57oe344OpYNTnxPTwGAc4rX1XcMh6ixptcHIaE8\n",
       "t6xThrShumu2fNBg3G53ZpkcTxTiejr7yEZPcjFbIBDCu3ngytL1+KFOvNBZDVwnWr04P8FYk8I5\n",
       "xVLfnRNtev9WD8NnfPLCIPvZeTgimxowCj30/FcuZg4ZAAABNQGemXRCfwhrrr0bqdPWXuAEKbNm\n",
       "TQ1lYL0Btq58Nc7/tdpEhaLYerX/NA4tH/RBqqkHAaNHuL5wNYjdGGwkvLOT93SnocuT+E3C/bey\n",
       "JVR5A9QAyiukKMmH53YigV5evlQ7wqQDdj776FTm4Or8YwpPzGc2Ko7ujbVbM167QoJJumHfvIdI\n",
       "gXABvGoHxNQR1+zZMEZd+IDMlY93bg88BkukjMMYjOTHVfQMItbbKxDABNb0pcBmUoZPeCEpZzEc\n",
       "UjoHUlZC5hxATTN9EdYzIyCD27jekQKA1kTO1q+rAvR6lWhCj0Mm6ZVOXJTu9t8jyBkjuYaUlFd0\n",
       "c58fdA5mG5W/IKmSksUfOYrB3inPybOnXuHfl41FAKjiE712yYKd6ryPl/GUQcUJxjBfAdDpVVJv\n",
       "MUfrwAAAAUMBnptqQn8JIdaBfACYTUmTGOT+p+0CsOBEMlBt7SY4XbfO8SIFX+Wn6tC/4no9raUb\n",
       "5ZVxBapaGCiCVKULoQmCbzEJmcuLmqH5wNwcOdWnTzqqLQdtgzY4Vz+8l38z0TPG7zgfNdjV0x57\n",
       "LkBBwwnRLA5IricjX5jpFTB3ZLxX6YVscQrwKsigQPd1N9zmkpHFnLdlPxX1w8miVNKq33diaAMH\n",
       "cWtD/tBzb6PDoE6wzaWOMsB76khdyRheaKxQdgFGo3jqkxVwFI1gX9J5FT5b4Nx9/CfA3ZtAzDhP\n",
       "5VlwKW96Up4smLtrn74IQ+Oo0RGPkGhMjXQwLuqP8PMMk9tqDuZzVYvMpb867qk1f4J7wAwJ2sQu\n",
       "aAAfx4DbEmk1Cpxx85mdvkmjakPdcjvbeElCUJ9BNjKz4KygI1bZWYp00gtHtQAAAeJBmoBJqEFo\n",
       "mUwId//+qZbWBiUaniswcAIYXf/3zxGONaecPnMtRvj3WpW1i+s1Jg4YyoNjH5wFj75HhAAOMbJX\n",
       "rt71rlWnjdbNj22Na/1tk/xHBkJmfLMkvka/T8d4UkPUHK7Xs3/lQdzGI63nW+/CQkjMa5kTd8eN\n",
       "cNPb4Zpx6lvJY422r3QUlsJfhK+OI09mqgnPPjm1Nu6gsFuV7pRNc8VGbdJjlHI8e1SFxudYPGrT\n",
       "6uuMjYaJX1WTTxiplN+jpCSEoILWoKQYmUoj+W+hmBp54mkzyLXuFqvNKT5MZX0qNQhn7YeZ9FYE\n",
       "V6zboCSiGctPHG8G9OWOWVBZK860i8/cCbGFiLz8pXl1/O9WZzNuzJ76xhnHjtr8wJrVpTdm+QK5\n",
       "WqBUpU2/wdMuHQASemdHSNABOIhFOmsE42CnT/RjrEGxPqpolA8NwFdbSF5rhjH2zlpETE4YUoKG\n",
       "jbSUU7dUJzNp5NKjnseeGfqt/eW7C91bCWgq+2ptfDU8RUHPBvJIAQO5a/xpQCX4za27ebSj+dJD\n",
       "ZdwIqjBnhNiVP5CJHt5g6+MmsrU6klsEZaHsT1R/vpIiVJnEOVytXIWXkmDR6OO7j/FhXdG3SVbt\n",
       "LV7AYejDB++/H5hAUI6S5g/ncQAAAW1Bnr5FESwr/wcepQU5Eb+raAAnbaWbbHCu2lhFg3eM07JT\n",
       "XVcCR/Wyp4V55TcjFssMaRoh97FAHnOfLP36Zv8kxs7LmlNeB4AnEaoiBjPACDt6rfKdYvYHHZuu\n",
       "fn+2WqXuqO0B+7xAi7+ylXumiu8MZJuUOA/Vz2k8vY4pWn44Rk5KhwVYBQD9Q+6AO8cj+TFc3beq\n",
       "JGBITnQ//kE7fyznWGAN3RPWaoGzc1YFhkXmkb5IbOwP5FGRHiuIDh8v6SZ/WahEsz/Rufq2Q55I\n",
       "0f8asn8qx2nd+qK7cxsUx+aB+dcx90QWH1X3eG4DEY1uOrzGZOigNj4gJTx1F6x+JNLSLs4l+T1i\n",
       "qn1R+P96ZN6342PfskzTqBFI3zyukbiqsaRSUFhxGUXKdPUaK7nPJRLqVlsEqlMIGVZNgWqXZ3kG\n",
       "FNuE2wwaNcb+zLTWUtrF74zSVhJJZPjY7OlNmClo5BHjcJn5/PvMo9MZE60kNAAAAWIBnt10Qn8I\n",
       "bAz8dWKA7gBCi0g10GQTBnDmSvfuoByJgqb1nJL5ns9R8hhpJx/fnsWjqb4Un/ln6xGks8eWYO4I\n",
       "Djfkczs+8pe1oUI19CZqBSTxDjDKoYN05b9LcHXz50jhghmotcGgkkl1OIVlyq0jTjzbva9DHfnv\n",
       "g/zJrifXkVzZB92MUZPh7x+WhKEmzabGe2PJT4uAG7tKAiT3RiLynBxUn/SKG/40Q5sp5vlmjTy3\n",
       "EAAJdwXn896zERGIcssafEMbjDrsQvLOZyw/RxmgYwDLGcELaZbsr//PhTLFv3+/i7ayplp4mizo\n",
       "ZD9TV5BT7mROw9zzpEC+qZRLmKUytGi+VAQCDKRd5fIJs3zt3SIn3cv2MnJQjsSPbF5+D04gCp2i\n",
       "bC5nxWzM1CdtvGSQIuXRed00eaPl4NVA98j9xvi1GDRCvFbwCkli0Npf6umFKFhUjVdMjXxZGdwz\n",
       "9Ds8d8AAAAF7AZ7fakJ/CSHWgXwAmrZ/Ad3T0wgCwNvFPWbYv45MAYWvg4vmlJDE33VNtc86sCFE\n",
       "xubdSzq2KJbL7P0SddkntmEG2JIDq1F7iB5dGJLMHKyl89eLfwtJhjWFAbaWQ9bdbrPcVDxOZTAA\n",
       "Bk0B2JzWS920AFjw1xWE1lqptaz4vz+haWdV4LpIdVjZNK+LxYJokR7ESbhIpxe7l6S7rii1Yot1\n",
       "elvBvkkb2TFSKHKdsHEk12KiMLSnYS+WNBe639vC2Mey7ebU4wOpG7/spCnTjwvPiCRnJemL9ZRC\n",
       "DerjTkbGjJxcTvw7i4Nq61/qgs9/gbMvOkeEzQr1mBCoO7gr4AWfs6iyMwVXch6pKMCtY9MJpc5/\n",
       "mS04wqCIZpDz5YsKaNMjRAsXpJ+Yip/ivxq6t3HpP30HQaLtgXicQr/vqyL9JBlqxz90173l8i6D\n",
       "QoCJsXjsRJ7eK2dpZEzzsItAlWZnx0wV8/drHjYtx6Y/IfJmZJMaq+cA+mf5LQAAAZRBmsRJqEFs\n",
       "mUwIb//+p4YlERVIAiEDv+XmTblsNmLZMv/eL86ZocIcFHd+pCv7U/dOXzsU2dQZViYc5lOfzSYB\n",
       "ITFaiLajebMR3xUsKUj3Qy3M1R4FhM2ejaINOrc1gK9wbNfn6RNjZPxljg3/+ZTwOAEqmo/thtll\n",
       "J88MRpZKRnpOWjKezaZdp8veCjORGRnPPmH9XWGLK4WR26WXtl5tJSQan0EAJQXZUT8luJl8sXz5\n",
       "hzJ7cHdvACKdQLPDvXZEg7iAH8rEAqQC709QaiqnFkVVqARwlY0h2JjMGe6/9QW45DaxcYBfT8iY\n",
       "meXK8yOvl9AoxS6sBt+DuDkv0mYRK0/hI3n/HvieJ9JfvDmqpf1GNhlMw7CV3oUvvTyd7IhSTA2t\n",
       "4rJ2USmOuwrzu8rp6P7rOPUfWhwMv3/c1XSdsqzNsLKPPMcXWud3T+6XUIqy15AzF35bxGwpMY0s\n",
       "j/nGQNAUe+ynmY+l6BW1wOMWcTa4LPtcNtsUxs8OrgG89gC/rrlR3CFjLeVHfVn+/oAZVIFRQAAA\n",
       "AW9BnuJFFSwr/wfBxVSLrLz+YkAJq2lm2yfDOsZfaZ2chuksMVDIDZ2duHlfYhfI66A2gkEt0ws4\n",
       "ubNFQ7aWwa+RgsQXPaFWaB0Bq7h+K8Ct5O8+WVduc2ujStNGu7PZw7fvmC3FbGNzRLqtxPGcZm0q\n",
       "7mU/JIFdpDfeITFARGd3GGCDupzWflPgeyOBoC+kwC2IdfD5Rou0WUPLZUbXtV8j0+aPOteFqP5w\n",
       "CvDuIst4kEYMTAwOFuU/PuXS1FDCrydodQ39J53pHc1knWuxsRJXzxLLiWyGrUh0v1i+DAwQpgUI\n",
       "wMUxj6XPWOS23QEwpxb8lFX4LOZSaZl83jS4QsDacZ40A0beaKcRp0yvvrcUFojT23F4hk8qsRuw\n",
       "r9Y5NEaAZ/3960EOUzroBOGxmgR+McKP0As8QJf22cDm4bWovwj3yELEXo8zQSV/82FP6Rbc9p+S\n",
       "hRSuaEH7NKJ7uprXKwutTW9ppUQMOetCfvQfAAABjAGfAXRCfwhrrtUNIHzibgBNWzaGEtwwFalg\n",
       "ETimbElOlOYJtOSKQ3rmVK0qkkfvmWD87b7OI5pyP7BEphmGA7/+Vn/nAJkkVT6xDG2+J4H6etFh\n",
       "Uupq/7O/ONzVfNP9XBFudzDSWFn7HlXFKRHw5WSGgdi6GubtkJd0N4bYhzM9IKlHpOSDHAWGNBu9\n",
       "eh0Sa+LMRU58X2E83fuU9os9VTSLutReQDJOqiOcQHvakWk0j6hL3N72nPcVV7U4uAeHHyC9Ml5W\n",
       "6QOX5zX8HpMDNZykc62dhvqeHlQJcNMaXBmB7/md/eyH7W8cyuxfBtbRXdgZRynH70qP+4CuTO7e\n",
       "zvqeqHy47tjEWUmLPBAw0UH39KT0I3E+5CbMVZKR91YLMJ6WuCiCd281w605E7fxc2FdgtgYdKg0\n",
       "E+6up2H5P67/CnGoogRGwEHdgBgb702JHaAL3QDm6oBvbUbFQowbxTXV/AAKWEFoSSpUf38WSqq/\n",
       "oIw/edEcgnDeqcgqXYw1QEUPoFo/+546D23dMAAAAVABnwNqQn8JP2C9+tQgRBABEGz/BtT3IDdm\n",
       "mvHM0VZlIjyR949PPDXq900frRBDwd6eyBiNCBWLLSIuTkdZb3j2hdK5DDznE5l3vSNJzdG4V6s9\n",
       "G958Zk2Kf2GkH7i2DTfAL8a37aguAExbMn2Pe46wRR/LxXcB/UnG/tjpZco7U9uR62CmJL9N6JAh\n",
       "UjqnRQE7Y7Tjniadm0ovaGqd+QSiKAauEUqf8oGVUK+lD1RWXZNaS+h2rHNqmALFi4LacDXC1tMT\n",
       "P2jr3mcUAwSZvk3qXqYxsi7jeAaqlfn1Qj+KlDOaY3IiS7OsRAEshMTMAyARg/ffDxH5wjRRFyKa\n",
       "ONTwEezsAcOKbQCTF9nzNQTE++/jeqylMgPG6pMdhU1dfChbFCOKvIKSoddJz3BXOY/LFAc7pgNr\n",
       "ojU5mgkOsbB8ov3Up9/hHNgTg2WraS+FtYEAAAIoQZsISahBbJlMCG///qeGGycRN6Feb4sAAi0E\n",
       "Bpn+aX7rbVvDO1WGDGqr2HlywvUdREvaTvJpwM80e8GDaTd+shmMWGcrKbLs8SYAZuwHcDb0hBKC\n",
       "bu5OB+cR3kyhlPJSH3BuGd7OxXIdSYYz1eOIuln22d4Bp+Ncmxfmn2tIteaf0uFo02XOl/2JRbog\n",
       "ngDnHKLI2VxRGdE3oNI5vCslXE1tyAnaRF8q5o1rHH9EgF/w1SNvHyXFIVKGlff0zUpFjYWsmXOO\n",
       "mxf2LdPfQJF9CUXGaAvCYq7rAS8nI9OUBVVXZO08/Cur/yBX5z/7s2TkzgHPEYuA6o1tRn71AbF4\n",
       "F9Se/t2Cfce/6WuFBs1iRAzICgr4VQsp6KYvI4vil+niDyoxnElux0rhb1UFSuIbTrNPbPGsMfPe\n",
       "IfZaXQAqrc3L2Jt+lVWLc8leG8XTgtsvDEl4wCoHWBYRLuTFNIAqw8cpXJhh8/+FhucjuKDfopwy\n",
       "k7Y7OzbF3ObqW8WG/iFW2txPmD40h8WH23498p9OVxi+rgcTzxJGbKhaU7ytT2TdIdmlvoHw7MvN\n",
       "Xsd5m05SLwWJKrz9I1UAheY3iio9C4JhC6GlMXEbcEn0EB4dAjOuwIBRgO3DhWEwBQfgdttcAlFo\n",
       "ZBewQqeblMtM3ekOBuk5bBPIfN2X1ZMU6cHMzBVIvjDAyFW4XaqOZ68pu4Sm3A/onykCDsZNAMDu\n",
       "ERhUP3LdfTT5PMG5AAABl0GfJkUVLCv/B7rMKjA1FwYBIATUtROGwgqhAyYd9KtWc8riDV5hw123\n",
       "IAryS5eB5sUsKjfXGxQrEB5elsh2Nz6iDJUSKeWhxSwinCZ3cUZ5VIW/QfNO+C9a2N99x0Nst0sW\n",
       "PVBnzdConyyvNGh5EBLPHYsKC8ikKJNy4nrXNdfvnK0EtdxYCFL7saw0M+u94+Y4MZqpfkadhlBd\n",
       "RE/VjqnNhHizmvX/a9CHy+0kcoX4Bx7XthJ/5sxF0ic1BslQcGKFp3gjYDcFYUi9wPBhaaY4bnvF\n",
       "I2ormzTLN0scrspXhljvWmVDo5nafLWyheNNPo4EdKDqjUtweOr+pGiHZdhT6BN3206d+XlnDq3g\n",
       "1Phn2uA8X6c9mFp41n7PNX3d3zl1A+0acbeJiS0TvoQP4TUGQN5mk911CtO7vPRHXLba6+FUoI57\n",
       "Bf+peg6M1kM2JunlfR/BS9theorwWmU+xrP081k6ksb9ASNWbMpUQ4YOPXoi56hWr+A5WcjvOdqs\n",
       "+HULP2+kX7cEsUrmyTJyLNjeMfjPI8HBAAABSwGfRXRCfwkxJfMpZ203+kSZN9Slr4sQ9xNACaFW\n",
       "5Dz5E3QmdRGqffVSWtuBr6SZ6tOgDRxDnQGwkJcrihRlXEzGo3nivewRgOyiPv1FEi2OONesJsdj\n",
       "4uhDWeBigFPmVXOvrPoA7xYhoztLJXLUP0i9f1UW727NuYV4CG4WvgE6nh34B4++SfYuSUheCB2z\n",
       "KEoMp0uptCOUSm2vlxlZI4C38UafzooRAmYDiE0cB0wV4d0lDPsY39zHPW81wwGZxSL51gmg9kDD\n",
       "YBi8QYOQN1gOctHBNfJBlUQi532rwVE251oNqyiDuZHWoXgs5iV1AgxEAx9ll8//yY6Are+izr7U\n",
       "fwG19o6lCRdFkjmR+4CLYLiKSIkjJCbpODwc33w1Syg+llJ8r2htBCr9YJF8O1Mv5pbvClVugqUW\n",
       "R3ZPDQ7cpfoWZDot2hU0pIEAAAFfAZ9HakJ/CG51ggdifKpgARBs2ZQejo0r/VUCxJNBlRfnJ/Ox\n",
       "7+GYUdQ4p3T8rgNCarzqvmjaHMobC2v+MTrgEfziQlFdQVXzSUdSqlf/p9+V6OqnVLVI5DOqz+Ed\n",
       "6nZgSjKswmr4yomdwU3TjKW2ROxdIal+spQDLYqU3GOMv5NpygwxLoqgOiWmXdU7lv7/dbfefDEV\n",
       "TVnTbtvJBnLSEDF9Eu0tyef5SwXemwH40OhCW3vd9IilSj9NRxzg3n57c5Ir7iEJ5NB9ycLMFGpD\n",
       "1uWO7jb7FmjQVHPBnK1AAmmNIOeHdDwPZC9Iv5osl2lcyIwIwb3rZrFKomjQoNXrIZ9fnvC9Iges\n",
       "BsU4cBhuMXf9V/HanYZNEPEAmyEbjARKMdVcPpODR/YppWxWvj+UfMZnra6EQUrnWLUyreq/Lzud\n",
       "NQA2jTVLmZdIeOVi2/y+y/OCGCkogi8r1pKCqnpAAAACMUGbTEmoQWyZTAhv//6nhXyPkBxSPfL4\n",
       "AvQyyr41bWIYH6R/IOcwgZIIhdlxhWjRdcoOW3Vy+aHZ9BWWc79wKxV5j5t/9egh0ZN8IdYn3HMW\n",
       "vvETprdTsehrR6WrcOx3GQYjn9hm+uAZhketnRDqcE+rOdlYaIjzwVoa+hl1b2LXWY9pj5oWzpzb\n",
       "PCAUPk6v+l3Zxcq/cHTMcqxe3dFRkDCWe/AfSqEDbB4K33Jcy7lFIWRlO/RDCkCNsbQUTSUNJVyC\n",
       "YKDLA/QwJyslxYTKAR2EHgCI3IGzOZQ4JxD+c/djgGoiE14BmLnNTEAAgKQ1eIdD5IGtVaSAaazl\n",
       "ltf2YUj3fVGXTTW7QZPeAEyfwpD3LK6kO/yMtfXcQ634ZMYWP6wq3tGojTR02i8qh0vSfnpUc7aQ\n",
       "n0A4z6Rk68sJd4b7yWq4oWvYZtAl/Ntg5NHD3uLHlgMsESLdSzZPJTlgfWTw76X4oIdJpN2Ws2Oj\n",
       "xfZiq2uoyqefXgfKOWxsJdLnnez9EZ47rAupcJHrCl6B4eppVAyLCpoRXSv9mY+Zn8ylfc5pnUac\n",
       "53TQzX00UKj6NbkR9zBew/H367LtL6ejKF0cj3J4ZFHTre919tOegXQsP7nd08qC2o6987aRFxI7\n",
       "3oL8VpvBv8tS7t/ZdrNITrp2QpkKn+vDUn6R6+wHBI8ZPUlLFqINHPwmLiH46UNmbhsa9g9ySP2M\n",
       "/NI72PIwX0UdIbb8Is+kv4DIb3vQivYPIAAAAVxBn2pFFSwr/wcepQEaTqlwcs8VadbWAE1bSzbd\n",
       "IE5tSAIcDLoipkbd29YwHxsezMuElszAwBGdJLY+aI/SRDJedH5RgD5wnMibmZ6qcrf6sX+HBdf8\n",
       "2Vhq3T2pNBWbMRWL0m/PIWctGAhVoP8Myor3wxIoKtsCSAZh+BMd2WCUomI921G5Q5NKbREKwJJE\n",
       "NbJnH0YMz3fz25bFRGZnPc4vQHhzSexkM4gHnkB7kDXbxloWJajIK9A3XIF/db2tShhO1eU6+Qkf\n",
       "FAGUBMQAiGfrRhNGspJzq9zFRossdXQGwZT8jhC6W7AdLkpKY1roAxrSOVsdt6JSPBzor64DxZI/\n",
       "dbIYXzoNHY93SSsbSTTBqjWnJUG96VTK3U5Jufv04RsH4yqHsNsG41d4hFhe4EGUqkhPNWgfCgWt\n",
       "CxDmZvQp9QTVprJe5gDsbNBr5oF/7ixshjofSkU6nb58Y2kAAAE0AZ+JdEJ/CRsvbxAA/mzemA10\n",
       "i01hi+Rdw3WvMkzNGwEgs10odVzQAErsXlVU4lTLY2J6nsUsijb0V0C0WrUG46A1qP8UXtKRcFvb\n",
       "nDqbaGvvta8fHdxpRhyeXK3MV0nuXYv1vwUUJqeazn/gVvK4u41OtKd8PMm6daSmhUzlFgofTIk9\n",
       "UOAiOZcLphzRQ3BOjPVkiznfPUhFhRslrwS9EGXzsqbHyP5eO0SepUsHXCkKgQTamGee8VD0F4VV\n",
       "n6o2ZdUOIIIIeNa8UuyVhFysco3DxOl30CWLlA5LCVBl6XmpzvYqEw1s3hTu1f5t/bYWApqu6/Ym\n",
       "bN+JSOZc//XSY15CSDA4dH6s2rkUic0vZn5Q2D5LTxzfGmSJECnf23hxITmxkfHJ5a9uYVzkuOHS\n",
       "Azzvu+AAAAF4AZ+LakJ/CG51ggW7/ZAAa5ZQgU0Kg7oJnJxH708gBPW7cE921jc8EHD/ErzFoJps\n",
       "hMhrgKSO1rHvT3CA6BRZ3uG7R0lZwq3xSI8YpIsP8PWvJTNWqglRpxgW1NeWy/XL7KWDScMZ4HGQ\n",
       "HiWgRUB01UsdEWQ+RbpY7dXRyXR6bjawrfFJ0pVfJ/5kbD3QnDJNVi1sAbDrqMqwJP9yXbALDuP3\n",
       "xcH2tjLmCmSyoPlJIlFVlFuatY7FFNGMxNvlcz0SPelYVPdROMieXWFZkZbGFMCyYRCIFtwCjbuy\n",
       "Y7pAuLjHd5TACoO7ssaTGg3jLtewQXLR7+JJGGqpNjV1F1D6twGrHYMMOOzu+EKut3tDloyACC15\n",
       "2KdXsmLTUAvE3aCOG9TIphxcX1IBYrunHe48h8KVoqzTRk+qe5+K3Zm9++eHSmSwDTrmAMEQ+kiZ\n",
       "Vpa4p9bTptJqrNxY5eULMpcPc7zL562RYQQP/pKB7v3q7nUKcxXH6WVREAAAAptBm5BJqEFsmUwI\n",
       "b//+p4V8YA62DUe3rAArqJnFLf4MteoBq9r4D5rfxPEE7h8C2kf59jPmiM0OFBbVPUWYKpXwsOys\n",
       "v7UbAgd5Q1JfK1/MxrdG8B9Ak9xNaVSPh9VYpm9/miO162U8opzJjs38Cckw23DgzlcVrbZJqK2C\n",
       "Nmc45xaEWSUpOweesHdVRE953qXH2HJTA77bbAIGXZHlkmkHUIHMwK5jXqKxyK3IyYPjUYuj75Ht\n",
       "3kYWFO5q4B92EI13qiR9c/W/c8eRdw6x0lKZLZWy711KFJL8z84beMwhdpW5Cahz7AhIoUyz22de\n",
       "c9wI6ca0brscGtGRn5wDH629Uu9TPYM1/GZTPJ1Npp9mSUhhdykpq1SJ2CuR2R1RWF4v/UYNKcQC\n",
       "rgbceSeAW5m1HHm/nHFB9Ol0PQX251VZGRriPKHkyxGdHy3Q6XduKs59SmR7xEfE27II7G0eqgDy\n",
       "3YMqJXxBjEYoG3aYtzBL/jOj+VR9Mp/qe8DCljaebCFm+12jlePzLGoSLJs8ix5qfb2liBvVGuKn\n",
       "cc3Yp+cqm27UHEc23vtg1YVLOb1mwSuPRSO9vuZvL/oPuYtGFlvwV7bvTE6CMLW+LbHAWy3fXsgP\n",
       "OZNG2QlSNGw563yD2G9OUXZt2KgMf5O54oVe0aOXQzjoBX1LjxVn1QsfgkGiCKYLtu8aSeSPsFzs\n",
       "qlc4av3YH6LjZiaq5k6YnISo3+uWBFJxdLBSa2swTKSgDmeUQrn+KxSu1NwROuJ0bb5x3ZGvJnmd\n",
       "s6S8l72zS4/VmYKHMNu2OWrhW8g4uEhFvZPTCWwsZ62r61Zm21xcUJ+jSvnPDucvCGSrJmn+WxDy\n",
       "JJfLxoeSlT9MWLrIECv90+KQWEyraBY/dNiDKV4NAAABfkGfrkUVLCv/B9GcABsYBAoEIixLlq2k\n",
       "hcxW1HxxQDVwh+h/sOiWZQY3yoYgFqv8zsO7Ozvhm/dP7SD+nly+X2Hi/2QBwCkB/uX9I32VNHmC\n",
       "ws01bvNXiv5GmmnBRDX32tL9GcwAaJClKhtiW4RwL8KWBL8OM8xCDCdgGHfkpj3IZYzfrnxhgXlL\n",
       "Y2s1L4S7InI/Ma6ulIcd0xm0HWn16tItZqfg/Yr+SqW92YBH2nVMabiNPmP/43bVuOsWsTfti6Nb\n",
       "I0+SBezCYtpkMWn29oSTsSFiCRCe1r18A8agNdEh8qflU2mD+cBvd5yRcw6iZPUGmxSjhf+4f4eP\n",
       "dOZALpYQzKKDr+OUywmTsIQ5HbXjeI2IOjFeNu8SvWK6rpxMmLRdxuLsObW2etXMp8KYMPUvAecx\n",
       "ZhHCLP+3MQrMwZ+yIDasvRWsgvxJ72T+AWLMr1Rl+8xc39Yp+0jc/kFaIu0VC/SYIgLHIPYMdamP\n",
       "IlQ1US/zXvcDzaipDfKH3EEAAAGCAZ/NdEJ/CUK3be3RTPG0AE7bNobERSjgDHcmtjJz0AGkPF0W\n",
       "RfPgbdGFYzPvzSv28e70G8L23Z2u2ZY6eNRFyEENO3AeaLzRvPX1sOb0KA/M2FmTkEOdIZWk+AOC\n",
       "TCnEY6clWBn1UdbVnMS078Ijd20gbpLJjQINZnVsNXDps1JvlXySO1f5cAuJxpZ/zyvR/eEBvktG\n",
       "t1aiht1Rkbbhk0Zk7RW6Ojt00Sd5Ew4DV4ojm0MzcPbJrJwL8ia3rGYumOnTzS5J4M1hefIe949H\n",
       "8ypIK+oAq0k+k9mAqPl6C69VsQ+MuO+DUWZX4JtRb7O7HlPzY4a2EFucH8WiLFCiDqmSqDMIcEu0\n",
       "5U4vmqUe4yceK1cxx0+bYcgsdHz0vo135zgxI901RnQVMQmKVzrQk5TfSkklllwNjVzVM3dvuDaJ\n",
       "C+BM6NNhzSPohxkHrCpOIv/iCschMnRvVbCBJdJYnjE7ftqKrfc6WmQlX8kH9XkJVQFvVhzsUR3c\n",
       "j3epIsWgF/EAAAFmAZ/PakJ/CTUSzlVG8IggAm01IRxjmg9DpHGcEAFjeGeGpIQJBPNzP2soeQcW\n",
       "V92ZX0mTBXC2jzoQU80BQneb43Lop6/QtWZovcYFLn5PMi9U5qGlpIdp783NnSIm6Yp/bNxBiJo7\n",
       "XIZo8syvQfomD2zBNjanotLBdrwD/7HkRyTeL7PkmcrNWLfKNQF12FwQXoAfmTANo/FvyL8lKm93\n",
       "X+eILMbOTOzufkgC8XBCZ0kIH1SaXZp0cjNQTICCQmQY4dYaWU9HI99YzI6IqTLAeLOmVt8l1P5H\n",
       "XTpbG692PSFNoIt4gKBL8pYKGmlA28DuXkx5qBdoURe3CJN74RCLaqmnoK7TbZITX+789IGRpnjQ\n",
       "Z78jyfS2DSILp1MLe6DG7Nxdi1jn42mgQJ5DuH9aJL6VcOfPeoS7nnhxtd3Na//OErT0DBkMYO0j\n",
       "GgUp6Ek3zCWkhhpy/AHNHzHaOSKyrnGIM4zLBQAAAaRBm9JJqEFsmUwUTDf//qeGJUBpABFbdgLr\n",
       "TND4N1PTP8NHeNJxlhl4kISlnGUqAR12aQ2VIAestCVkCNmk0rsTWnAuLIVyxaEsgJlR8qjAweCa\n",
       "Asiz9mRIYpeW/0sq8ZTdDK+6NKOb2G4WJ7U0RpXS9Pwx0hNcAvm1j9vN4ZY57fI9WaOHREMPYb4Y\n",
       "0Fy47fGjKQHy+MLGasUbXfqoNiZJWEoXl6u30tMgFF4AYWxZAFTeMOyqCJAfEdbL6Kab4fJkshuu\n",
       "Wu+2YWlaD0TBi/F5z82VKF5/TN2iK9EhcbqbyeWCyqA+kcuUZepfy92iWMtkut0jcUyC32A+w5YA\n",
       "5unUbKnskJdzGdR2sFYJv01hlDmUGsgzWeN6B5h5BNVzOR0r5YrRhPv6dJfHsgyVYfoH2LQR3Z95\n",
       "58GitoTg/SJtsxNJZiIZJYZphrXahJe/4GfAl0hwOZEoXBwYXD120SdfJJFVxDKhIZfv+TzOKJ/m\n",
       "nOAmb9NWPKtMCrninY9wttZnyqLqnfzfgzaXyBNPDXURP/pOffCja+GY9i0rWLpk/nl/8UsAAAFf\n",
       "AZ/xakJ/CT9gvfrUIEQQARAtINdClIi9tjmSqxDZbeiFBvl1ZnDXj8vWTlmmnc2zOks++uUoC3R6\n",
       "p6N05BC8GxogUmOSpCfqyPyjYGYCVZ9GnzwLrEwGj6Kfwba+pHK37XZrT1oFL/V13gj8/tkfhY/6\n",
       "AFm9XADJEGoe+DKRCcR5HeoQY02sMnd5DEcY1M5TYg3+QsVqH8ZHrpPR4y6+arBGYKIbGaG4ndwQ\n",
       "qTMZAqNGCOKml2BtGjNIyMBjG4IXxC3w2N/mfhbrC381o4xjk6/eOxUqsWB8rrgctYBBbKZn+2vv\n",
       "Uyfi1HrtQUDHYS+pg6+ma6dtOlyWMndVYuOnEuFV42Sq4Rmbm0X5J/40199GzArjv7QFda8a+vOY\n",
       "CnmcTJthlGAEJiTILCcICI5+dr6WKqSSFUsfNd+Ex0pLwdTf2cJzu/oul/+HfyCYOeIVLgb4wee0\n",
       "Z9pDXi8nkIcjAAACRkGb9EnhClJlMFLDf/6nhhsnCnFtABX7zOWFLPhbUqeETYbwpa2HmIF6oPjl\n",
       "8yHH83XcHPX/ZP/rSKqeUkjyOP8UEDmm8W6OwdUpOSjaYBX/LInUeg1hQ1NZkwbmWzPZDoCTME/s\n",
       "daqkGeZ5NGdwCWb9oMx/GhuNe/lNmeeunrdw8Yb2HFJ/NpU9XLY4cqf49zSWIStnioTHgI5BNBy0\n",
       "ZWeSB5qtX1zpKSn4LqK8TDPemU2BCtmqkZe6PfKAvsNkA5g1jOWdjFzqrxIgZGaG7HIoW5LIB310\n",
       "ldoAm16gAxKuZG9yPJAYMdJjnm1MTArmhh5SBI2ehGpxGv4goSxiEc6p2pW3OVTcdkeOe/fapGK6\n",
       "zCZjwik81eySbXau7Aa3kjUTxmtliM816JMuZLSgA2upP+3Yba53beiTv8cSxFDYAENDb59Mu7P0\n",
       "pqoirlp2CeeSSy/d2ah+tLX/LsMaEgaTO5/TkHl1Vxswt8FI8CCYhWAnj/aSqDurcGefJ942iJ0Y\n",
       "w93wFcuve1Ds5RveX79dIFoBaS9hrPIi7k99QRX+pODi9cxA4gOgsP9BwErzK1nmiDEyRmXaF7Mg\n",
       "qC6HxCY2J5QVDQFkC5zFWRPFW2KHdVh7Xb/YzYBNcd2nHHzMXjAykK2Gwud85ntYDkq5PvdHb9h+\n",
       "kPYCPHQjG6b1DBTTMFqReHjPxT2mud9oeW3uZAT704UX7LJ8E7qOZm1GUxEqaBIJVf8Aju53zXWA\n",
       "K9u1ko68n5BRr5qSJ0vQ5GWCB5y4sHO0wAAAAcQBnhNqQn8IwKxawACdSQAK0BCsLMyoUoyVBA2x\n",
       "xohulOjnqknxeYCNqZTcRhvuuMt+YT2kF3HXDqN7Cd+EpbOTFK8VL7bVaV0zYy8boo5AL/xI3OFG\n",
       "52eTGLA5euv6rcfrvPGIYOT+gJwN6bZ/s1oFHibb8TjPCzVHsMNHIt3px/8NTYQ/bJotumOhqlMD\n",
       "ACRE1dphjEr3dtdNBg0NTCqRGKtilmSvxIDDnUeG0/5Lk5u7Q2yJIV6/L4w1u8h2iYGEKCtnlEEk\n",
       "t7Y6KFwTefz5qDsd+bZCEz+SitPh2/sbO4BGZgj7pqaOR0mg3hEWnVNqpYL+W/c1lF6jpd+QPLWL\n",
       "Q9I6AG7KBTr+6fywSSMQydJWa2KLEyu73022cItHI9XnvxCz2eHM2wEy4sCTCAgMRuSieDidtD1F\n",
       "bw0fdDYiJJO2OpHWLppQAzgu/PQ7+4F3hexjCMd0LjN5m2tpvOty4cCcBhHKK2wmgmocVDRmHgdj\n",
       "Vp78dtJvDCF2uHoqrpapNfArFpoMfgPEKcAM2lFoLxeJ5C/+4lPNXoj4llU2vyrgap/KUQ/eOOxG\n",
       "IUbJ70Og2DViqk2FLKA/OHgvzf/dVxgrgAAAAdRBmhhJ4Q6JlMCG//6nhXyPkBzW8bj7x3wA4i6Q\n",
       "6xsi6zNaiYWBoJ7T2/3/2Efwjygd6typmDyKUhw68Iq0d5mXVsnKMP9KzgBPZ0wlvVoY89kLA/Mb\n",
       "h6qc5nRoi8g9Eb2oFX2QUi8Ggz2ijdllBAyz0ZANCqJI14VeXLTkRvVuZXpCRIR6340gdzfvBXNy\n",
       "41zTh4ZTO897PMvVAAfWVL3dMujk22FTBcAl5QZRsJpN53As3+Qb/mQoJr8AHZ6TK55JXXf32P3F\n",
       "59pHijE32ly2xpyUgcd0iMQhlwwbDhq+xiWhw1VDQNymQUTUjhVFC/JNHYvlprLizYZwjNRh5WQN\n",
       "sm06rIYJ+JUclK/pXUYCZsR+FpTA1dcujCIx7dKOJ2sqXhrkWiL/PY9eJMhXG5wt44dfYIOjEmfS\n",
       "I80utxMcZaDpepvNQTgf5x51pUJZxy2wF2abDf834SYJAkyyLZMdvHTcSL6izPqTW6Jb2llYLBKL\n",
       "WzhyeepjVloo9QssLYkbmFln9uP4p8El81h6s8Djl/tO+ncwFmwNHRygxYFpw8rJtMNWNhuLBcjd\n",
       "CwElPN1bIRXiXMFO7Px+72v1Sz+XvnJfg8CEInfb3a2y0dsUbt8jE+EAAAFyQZ42RRU8K/8HEI5r\n",
       "RLPuYF0ABdQq9bTfZp9JzPtM1dU3cgMiNOXB8/bGyLmLxBsenphoX73kiXxtDjSQTPkxY7y+Vdwi\n",
       "mvAsKsHLtmBd3xOfD6nufLKHQItUeSyEAFC9fbXM8ePSi58FKOgZusdIJgmZQ8Ur5uR5WPIy1wtM\n",
       "3oyrzXN7XrvNWWWj949cyY8TiS9cD9VAJPT3SVM9ipPJDp+JWJZqUBkA5eDX5RNKQsLezVsJKzpx\n",
       "xWqWNEp8JVhCSTwOz8gydRXLchuwO7D+fHfVnKQ2v49cSi2bVDJyHVf8F9KQ3B1Cw31taoLTJD+J\n",
       "UHOETwNKljgDhDL/Pe+N26SnyqcpFctUa9xBZqyG+3f9NC5lUD5X3HP5Zf1a4fM4CGa5jUdLPBbq\n",
       "IZAFDxCPqQUb759qQ2Y7TQiAPBH3Wv4fFNrikzbQWzvk60/jj6Iizx0Lo1w4Bs0FoLWAAqUkE/Vw\n",
       "AMexruxTynRp6bLcOYi1bAAAAWoBnlV0Qn8Ia669HCRXZAAbSeLJg2ZsuzEv/9aHiwXvu316uWvg\n",
       "s5QmEv+Cl8+GFMQLriMJLoAOWRduAGVz08Go1W7OOuVdxwucKvfT2JH1agUgy9SKsCUBP26s3drp\n",
       "9G21UfDqLMapF8//w+8TM3Sg8k5UGiV5uLjorkyxCpMaJkviUwMLScO43YGK2MXJqQH0JtEDkz7r\n",
       "SWjPij/2evaPZJzYFvHjMepbH9G8wkVLUZCIyDDV6eHRsJbaCso/1UtYehfp7X7NcQuCYLd6g64k\n",
       "ix2KtJOy13448Y9dRcgapvaDV6F3XIeKoMCjZaJF8cNLg5Lgra+2dp5Ctc+DcCekJGI4i+BzTlpe\n",
       "mSQbM8TGXITMzlzJT6RPVvTBlzfiM7mECiext0bekEL2Bm3KCigQvhCvRD4Bu8tEwdxzIKum6kPT\n",
       "GO4Ddgj56YRMGoJyJxy6CgZfQpfvuP6qT38vjC0tbG6vKDWIVg9ToQAAAOQBnldqQn8JIdaBfACa\n",
       "tn8B3dXpVyIVI1dDD63RYPgf8TyHEeHDrOgxCqGtGyo+5Qsmxq1Z7ZTxz108Glnz7lWdYfq5uXoL\n",
       "Ik9J1gM9M+jTsNFS8F9MA9XNDYO7RN+hHTL7NQvregWKV6SheAopxGOBTDjImjpWCDgB0pO3yV+z\n",
       "HMMuqhgtS61W0E34RlYqdJlRiPxwiErOGyAyfFhjSNQLRf8TqZ6ifuNnTf1ChHpLJzV6GztARh0p\n",
       "AIbmWxmtAWhhBxoOCKTs+GifzvvDK08acylq8wa50YBp2zx/LAfDaZ9aTekAAAHFQZpcSahBaJlM\n",
       "CG///qeGJREVSAIhBAeYwLctfKk04t0BjKM4TboSnI7nuBwviUKFWXPd3QtJ3a9f1q3sWqjJadEg\n",
       "TP/ReA9MaOLOrlCdgdmwpxSr6LL+Mx2QiIKZ2dJENswNPpy6Wcs3FSYVqmTwdd5QUUwZxKqiMjrm\n",
       "1HWpNeVH3+AntEWqSChkWXPPGk9KlY9NlNAXhSySv4v5rGSNUtq6luLwzesZGI3SxtJEPVyfUa8c\n",
       "wb68vDex3hYbbQeKtbJrQiTuGrXVtgsNzSRKIaUfeSstsstulg1YWhToKzGzg9HfU2rlKnazB57M\n",
       "tzO1MKbvh3et3tdr7vsOw78Eb0COBSKioMPOKtnwy4+uzG9EoHwzCam/DICv6M5DwIpH1vg1HPFI\n",
       "QiNv0FT0Cv9xkbzOqRaYuvhfFJILdalwJCRrrb8uhoFAft6AfYaadEljC5EoaTsaC0zDsUguPCRj\n",
       "pQFcMokLanbz1uVSWPfXUqsTwC+2u2QE+tLbaHZUa/uz8wuaFw7KNzJYwIBoK5+TfWIInozSqI2J\n",
       "Szsfu/o2/3zL+uaUiHSABFZWEjpJtnadu+sWTnD4zoKtDTbZzqyg/Vn1RKj4AAABdEGeekURLCv/\n",
       "B8HFW3nZI1rX+gAuoVer2P9TJ4B9qPRkv6QFBt+clpGGZwi2Jo1wtQMOK+jyQVlcjj45d6GHJj1u\n",
       "ouIXIcSzpKAgXFUl49I/5QdNda4ONgvK3tN6TBho2IgyjW1Gjrp4QjDlDDZyicL4KqXzjkFLisKX\n",
       "P6r4TLKrbGUjudRcd/t3Frung1PhiqO2I/pZGWOsgXjmeK74SojDUI7MTjoJcNQB+KBj6pdYcYaa\n",
       "94Pyx0l1ibBKZDZNKOmzC40vlPyG9pc3L7GHm8Nwg8Y2qZL6ZrouFp0iGLlDaGxcEbc9ORUNKId1\n",
       "QuVflaDo0TRi1IfS6Mje8rS0KmJi15IfyYn+ALnrn7ZgDzF7CB/E+VrjS5pMIBbQL5Wu/nbIKTtF\n",
       "/V/uTo7+LOTnqqUd5ed8P+Lcwke74YP/bvSwXkzDcflugX02l+FLMVoi1fyJbdOFmFcRE5N0YHGl\n",
       "Sl8Q//x8hCaCtJ6FFmh7e3ajktz9CQAAAVUBnpl0Qn8Ia669HB4gEwAIgVh0NUGVdHwQ/zkyqk6T\n",
       "03yRbcz3Z9DjIa15lj+zKWvv9r2Qrq9bG4yqKcXD6QmFoZPJoxpHUc66dHqnD46W2FSdvrrHaNSD\n",
       "uJ4+IdPLxEGWqyDfFgRZhFkW8ROtH9Ov+Ggv5gpM8eJ1mw8moVBwlbfdl6NN4Rb2vVG43ZyqTiqY\n",
       "LSgYgX9oPpqfxcpF9buS5tk582wli4TReaon9mFHi2zixZq6QPpv8P5N/ohwy6ZX2Soofl1/l6Rk\n",
       "+V2ZWWiCnkduxKLTtoV/316jUsl5BzqZO39dKqv9moiLr2esruDvim7nC/XJulnLrSLM3n7Nnjbx\n",
       "Y/ItBXNVkoJqx4ghF+CjcnjDSPtELlYkdL/6HbTbMdt0dx6Rh/r6r9payygjYiCcCrCvVx2yU0DG\n",
       "n8/J3YM5asPpX+zlqucd/1//rLOnRT0ofAAAAZABnptqQn8JP2AxEna3WiCACINmzJNKlsUdk7lE\n",
       "Y9UdS8ttMEfTWvW9KnjxLzsQpvLMtFQai3PIKqRI3pbsx/DRSbBJzQdRTeDWHrmNpMsDGvxGdViv\n",
       "3n4hlDAjzr3hrqFQk9E3YtMZc/oHYnNa+zBL+Et3ftKpIbk2NdpbJgtV3KApI4HSB43pk2l7EQFX\n",
       "0C8hg1EhiiTJqGIsCepi+Zen7ZpuoR5L2tIE/i0SG9tHjpa//AkJkFOp8t/LKOfWQ+/0AzvAkrjl\n",
       "+qSgFpRS1R6ahl/SyZ70oZmhcQ/UqtfdME44UD8bGxhZi56M6TRxNyFb/vQiJz157/cIVDO1+da7\n",
       "0nmnBEHxsg59vIi/hNefTqq1pCwLhu69WoVUacYDSJ52WHwbeBX+c3oYF1sKNpf1Hw24ocdT1B+7\n",
       "3Qna2z4A5q+rCA7vx1YhcbS46G5JU1UJdzsxhsGs7tVQ8tZFigO3kAiXGAAVp2UH4Cj4vRz6UH1m\n",
       "kL6UC+NPOgvpa7GHkfCcgggbr45+aI39w7aM3x3jAAABmUGagEmoQWyZTAhn//6eFf1DVZHPI+vd\n",
       "gBxRmpab7PI+2Ap+z4jk4Ga3M7BJZeMaCsa1jtk3zZQEVBq/Ih0VVPrNqFJ44oBmijo1L4228sUQ\n",
       "gCkbh0gMNAbhnrerCJlB3m+V0BeMn3+doLAwqES9ZJ+XL4REaD8dzZ9Ek53AHjvmfG3HVWqumjJX\n",
       "ltgUibenCHFvmtVM09a8NIvwTh0c3Wxc2+RJRXg4AWLKVMiO/2nVxfu7NyJIkn22/xzKyA6512jU\n",
       "Y/heBDwCGpslwjkKDO8nl3PCH5qhAji4fKCPt9iMCfy3RZCUnUuo+ZGj1bVD5Wz0iJcgZCEPWT9u\n",
       "xh5VdZ9upGhQqUiBB/biL6QcCHeHhTIvjefdbItXxXCWR8oqwu2zBhR0N0emmixIQPSBQNbfbRYW\n",
       "PCN0JyV7NGf+fROH+WdKDhisqherY8MbgckbGJQhEjX4RTpmsY9hnFYdZRJeF2x6gpUrDnPdV0PR\n",
       "Gubvs6dh4F1nkE0t7EaG49TPB1pnsSsDs5XJ1f3NCgLv8iLgTtMNuPJvX+0AAAFYQZ6+RRUsK/8H\n",
       "ut/CFmxkdUkAH82lm2wyT9hCO2UYzQwvpPUWvMy4UmNFzevjQQy30p8Dmu0zkA+DHcxWquiD6VTD\n",
       "wBQQup9qjjMYLPfiJOn2DiTIFM0gTIWSoSRZGxLYEsWbyjUvp4i5dZLlCUlYBLQVH3oXN0JU4AEK\n",
       "oGfZmDUS06omIirscXUDP7+M/GmTvE5Ig5c7nFfKxKyjdyHX9jnUo/OsmaCxgF1VbsCYHGlMMEmX\n",
       "H+bFvZUcS/YUIquDTJy/3tfXo4ZR3Ja7hzpiyxyUqtt6OzN7rl/nqsmSD0VSGhSLMqscaXV6eaI7\n",
       "6Gnc+E+nY03cqjtLg5RpJV3Geus2HDfdpx7q8Lvgtr9HmII5A1Jj4fPKqVOcd9w0i4fc6hXkGzM8\n",
       "O9Cg1wVZhVPuWeWvEkr1A3Mz87c3dshOiX59Y0ikJI8VN2GAVKOKvrrMBYMplFn/droAAAFrAZ7d\n",
       "dEJ/CTEllxaRVQbJgAD+LSDXRhtNn41iX6IrBO2zCFgDvrTI4VbH7W5h8hQDSoUnj7O22hihCpvz\n",
       "FzgBld2gEly0HvSm3oGHxFTK3iNQnlurHPlRtfNjocpdmAva/v+ZeD5s9bchXHFPPjovCfKaafS8\n",
       "kcwFfvBHvTapz4gENGIRF9dhUbu24syhsV12DEudSij1HNKM5SYlYABOxhvWofgacQzVZSZ9Ep4W\n",
       "t4hRUVxIRmoVZV9GtmIcfzVHGT+ae9+Y56RzY/rieISyimjfp+QO7QGz/eJVLkQPcpc0TYRIy7qG\n",
       "AP9sw8GDyGD5lpj1G4TObKbHiTp8t2E3C3zAA7u7IECAbxiNjGTNywte23OMGgUrW00UZF1fr+nb\n",
       "viIe60AYx4bxGV/JgapRxIaXdL0xmt7h8xMfASFBMtDYOHGrNkf+h4XfyGg+Ru/aiYRVl9yM57wi\n",
       "rUlBM/qMOt1cS3SN35s00mVAAAABQwGe32pCfwheUylNnmzUdwAgs1IRxjmg2KJC6mV/WikfIbCT\n",
       "4eo3O6H6g71ysU12xp+pN33+0zsvryhjKMdNnZtWe8ZEBDx4ty7V4QYzlHcGjdxEfWWWgbhHqFkG\n",
       "BANSSdfZNYJjwQWDLy1tOi+zQzFpFKEPPH6xjakRAjauOSoxBPiXph41/d4ua+AM1rI9ehpcUACQ\n",
       "A+z5fbFlJ6giG23u6oZS0c7E3EncBf8qrimoINjSUmR6+YtG+pAvFo/NiiSq3hRWM6yA/bcXemVd\n",
       "tUkfskRQG01gv3tcS68H9wM9U9DLASdVrB3KvGBNALj2o6ZnKokTll95bC4bNGvt9ebpA6uwNtYk\n",
       "qykJBdbwq+L0sGQWAYBN+GTKHjzxhaVGBpy9AJj6EWMOJl4kTweWixB3GSFRpbTnHvwHUBoeRVui\n",
       "eq+BAAABo0GawkmoQWyZTBRMM//+nhRZ5U8A0Hj/8AATurVgjho0d3qb7MDJcIwlwKgOzK/cYv4c\n",
       "2gyX3SQZFZNTe28iYxaGtR7QONQ14e9agtuB95GDI+t4XV8udndrYWlxt6d2ZZPw4zf9d0YtN5p/\n",
       "JubyEL3XRqYytbYVL8So/TVZ1kCRoYjEs7rXKVe5H6pvX+PHJhJHogfPlizhMP9c0OlFDUpkbPmu\n",
       "9rHN4bbjd6fnZwFlSG7bngCpOroiX/ir6UALM0hrNCLwCY1pgzOC8Rf0TM//j0pxseySXO+N7k1v\n",
       "otvTsRzrTO2j6jl1uzlkMUQw6uigPXBCvMe4mk55O6R6+WuSk0W8BPgsrJdgPZfEqqwhFmyC5EpU\n",
       "SkcgGh32wdvbO1WOuJfLN/5/ZPCZz2mNtCN8p7l9MrRHoRAphIn1RMDwt7vNS3/MBPa8Th2dlQEZ\n",
       "8uHrkvQY7g7uRybhP7oTtuaJiFeTAUqqkzXffI921JvQ2c34Yt4gjCPJkAvASIHWjjTulhbiObL9\n",
       "X7P3KJkbPHgL/n0YHHRdTQcQ/8A/4UKNp8fsAAABnAGe4WpCfwkh1oF8AJhNCPz1Ff/qftArDgRD\n",
       "KisxNVQ5mOOLifHSjjmdyQJk1ZqAFVL/ew726Zk7ISeKZnXBAkA4ii8U8IgxDYY6gaI7nYH00Lhz\n",
       "+SxZJywAm0OiCzk3ylGlM8sQi4jrj/rw6bvXJGfFEuj5GU+xOrBcH7mKhtq6WIvuxnKbMH0bCeqK\n",
       "nrt/QVGCR1uFXtfcidqiySKRRzNf/qL/pK4waFVKXrzJAmpjbBy2jJjLd0wTewUtnQmjWWruyEfo\n",
       "wvC5URTBs3IRfAWxzof/LlchgQTXiLJ3QOBfYxVSeco5JeeelmvH2xXFSHbpn+vp7GmPrxW5JTxW\n",
       "EIJE3CPVV+wNQ1UZAlhWwmhJmUAGGd0XeYQd2h8FVvBj4YLv8jUbUFuRKqejZx5pWCSY96cxzrIJ\n",
       "NCODoHcGfewmY3BWtIR5JgAuJIEwWiaVSKfyttaefUUVZh3OeIEtc4VQLjlFTwF4c1kfXt2Plmdv\n",
       "HjB6C66CdZDs5+huYgNj0FSrBjLzz1a4IvQJgNl7Du62CZXLhztqW/3Ro9EAAAHGQZrjSeEKUmUw\n",
       "Ib/+p4WBCvzjdKb8IARaCwKFMendpJ//BlaEgAhD/IqSWoUpRDIlkBDtSC/zSE/vbUFgJvDWgG4d\n",
       "YetuvaEfma5v+m8QnTWzUMCwZOc9gcNB8gWVDw54CpxKdoFr9ZhEwxiRmSfMPAXWvI/I9riqkSIg\n",
       "xviIe5eCvYN8OreKFGkW0vwWmiL5SgIAqFQs5kEP3kxJPHg9yJekSQD+1MDN4D4ybmKHiYHnRJe+\n",
       "/YArVhMxscA9ihQkx2r9GhLg3Fka8op04nGXCrh4qLakPBscCuStNcgvLu5fof13XyovlKf2DZVq\n",
       "VcunK7/sa1D5XZfhUH58kKlVaj2UmqhlPfA3XNb50uqxZExtxk3GzizBZVuK9EjAwahbG0/TFRw0\n",
       "HMgAkuKuwJFaohWClFO0mfZaPNBq2EUVRu6PPgYlckhIQ67hCBbseMgBYv0qgt7JCW/VUFpO3qqd\n",
       "v5+nKCfjSnxr/1eRPS0f/suqpIvwM4mdzqpfEdIbRxYK0zjqhE+tUQnviDMM/kq0T1ttBy2dbN5V\n",
       "oVdpsiKkeJG7q4vWgYfOvbZIXpk8+GItg0LUghZhH+4ItxHETekRqybsZ7pH0AAAAYRBmwVJ4Q6J\n",
       "lMFNEw3//qeFmMAoW3m69/AF/uqHp3bpvama9RAn/jz4eSPCJqeXoWz41usdx3u8uSq40WKmJ9l2\n",
       "0HjqEPzkN+StyGTuiPjX1TpVOhrNabCrN/bTEfAD2boL+lVd80jQWjKOvpZE5Rmp4Vp7TV26II+8\n",
       "OWwKIpurZTf8uxlPHpdpGY0scbpyO+lFB2Mz9SO3ggEByBkQzs4b9xaYCBwX16E6RsbqpyDqMoZz\n",
       "qj5X9jr0yIC3+K2bXWdfN0J1FeltIMA3DRey8zKbVrvEq7QfpROjJ7MvqtQhhbvCIZ+80zNyr/fm\n",
       "G5zcee7k3vMBEbXT0Fk7QmsvBKIcMjPHDIkSz5UkmuUmadQ+2KIpd3QGK3xUdhDBVAF9GtnsuDkQ\n",
       "vYLxP8DJf1YXKGe3ftamD3huyLtW06LFST86UZxqaGER2o4X/mWjYCQVNJicd5/anAaSU8qTd6zN\n",
       "xnCK7laNNq5jRx0pJia13dbOIP70wqdgNC3ajc3lczInimv3vV15AAABdwGfJGpCfwhudYIEcP93\n",
       "JAAbUKWSUAx4aYQdvdgXrGeb8FlRmHMwzx6I1Fe8X5Tr3soTHGHJ22qMQRckSR1OxEGTCxsLzD0J\n",
       "dMPIfl2iWaJGI5X4ZGKC97gh/+vsDh0EmKCk+GGEaLUgZyta/zIhZt2/hvIEhkzCZbVJgZAyzHrx\n",
       "17k9pgypOO6h9KGAiTCsapfcAplK8TbUT4cLfh2bC+HydU4kcj6bMv8Yt5TA+VMpP2iKDrrhy+po\n",
       "nBpzKUSK5/HjjM7mqf3jbA82V6MY9XZ5lQBQuajawhxUTfkfD6g/Seiub3EQXff/jLOfe/i7ZfM4\n",
       "QEOzA+2EnfLss6yWmNCOWrjIj7AD5j513c7sswkvh/dVq/JbiiZFhJiULpxHalzh3EaakGACy+ug\n",
       "Rr49pUiHEXKs7+BPajOotjwD+tquO6aOukr7oAZ8TgHqznq9T8ux8emffg2z3ecEIvevbtJU3h5A\n",
       "3YlHEcO3N0Np8zlVR7/B117RfwAAAQxBmyhJ4Q8mUwIZ//6eFE8ScxoKw+zh4aowBxRmnp9Zpwj7\n",
       "ZQ8v3rVaOIo9CvvKDa/na39NMRytzg4jk57XC3TuLwgfeYStivxQy8uxshOMZcrheBW/kPwWFwJr\n",
       "QKjwqwN9orj6lN21CAihkR9KqLprF77mGb+ne++wCZ7E3kjOGel0c4xymB6uFKFNgPy9YuYvSgbj\n",
       "WySJwCb3BVhFOwl4Jy5FFGJyphnNMZPAvpUBZenOL8pEsKLJIRrnVAPWsATWS8dBXuSfp1sa+QJ4\n",
       "bnb+EjYSmnX64+ELuvRNZZq2jtp4hHfFf+Z0UaEgYiqZeCs4cteaI93y5qOxZHFiZsUXsu4eN1Ut\n",
       "MxMGFu6hAAABw0GfRkURPCv/B9GcABsYBAoEIixLlq2khcxXgV8cTlS9NsclZ7EOcZ01ka8550aQ\n",
       "F0JvJdmkViNlC7v1Z06pX/LLlmZV6vAmXrHnylwecLEGT/1jfYSvYQoKul1COaO1qRzceQQljtPq\n",
       "M4+4yvEX7u4flKmiWbDcZC/MF2XAGKBuPglb3WmWbqhkLEY0FGNZ/KTmznQlOIkhxnuHr3STQMm0\n",
       "+eFN/7YTF5HoojQW/KOktGXLz/mzLQgXMFs0L3JFzYtruPMZOLhiaWKpe8TAelFQSheNZHhzvLgf\n",
       "hT9XEdyri+yNdwaUhCpxNZff1C4zkkf9KMsHDosWiO8EEdLbZqhhhD833PXBRv6ACY8qTug1cJiX\n",
       "2t1NgGxRzzg5nE7dSh9oBMOFocUAM2oqO3QTERbUE8krJTSXK6BYQ5Rxw39XmqRdpwdO8H/nXyn5\n",
       "P1etVge2ULLx6ujjpzqCBQFYfsLW1svTola8XqSgTApvVPjVWujgJTCz6En6+Uob2KUp8nI5Clvf\n",
       "/7iXwVESrIS4PYcBcpKRd5qzu9r5ny2rChpp+5FYCG9V/B46yQnotUjA7PwwxRDz6F/wb4xddQaF\n",
       "+i7uzMcAAAFLAZ9nakJ/CTURi0u45vMG0AEKCt06QKg+/2ZTFsg4fGYBKQxghOok73dXNX/GF7ql\n",
       "5lJRuY+nhJboc8lEr86JQv64jz46sGJpPQqhrB5ml8SC181r80d4t0qTqD/0yt4AIFiAld0EV7P3\n",
       "/GeJB+zQd60xudZjxB4l1FZaCMavZKq0fAVzWvkJQE11PxN8S5bGKlCdxZ4Oi9Zd97ZO/h7TBQNJ\n",
       "Az0TNWThx7BA3YC4pVQ+rs36MfaqUWJO9YMGfOTelxL+zQ/vFpw/kQTk2nKv2Pc7itzfqPa82MDd\n",
       "YqZ6ECtPl6epE4x6lo8YuxN2jeRL4xOCNAWAXNcmCPnF5JxOhJcGzd/GfnmD1tmJBfmJfbh6Ym3C\n",
       "2jyHCTCN/MhBZL5buIjYeEfdMeB1Sc1E6bSC7U1DdiUxscUr5hPipEtQ3TIekzFPRBRmbLyUJwAA\n",
       "Ab9Bm2lJqEFomUwIb//+p4V//y1OcYQ+EAItBB6LTNsDedg0jdFzTRLLO3UWppj113iE6PRVixle\n",
       "lZuwAZZ8bXTrmsgDCSYShLwk83oakRDoj1CjzTzFgh2qB6Whjm2Lbsy0TvyD0s4jybBdb6JwwIjE\n",
       "8tXDTngFBqVKpxX9hCriUmBcYtTLN4LaTiO3ASf+7a3H+zxQiWE2mQZallUjcswFn2usF1+xcpbq\n",
       "kYiNXLQp1n1geX4J2XmXkA/M/Bbljmi8alGCyoijQvZeC5TgRfWYne5qMwkdHeLI2A8jp5F7ACJF\n",
       "ByoiIj99hfwcgNr4lJ733Hu9IwF6GJaTXwawH3NXUj78fI289Fnbj1ucXyuciWxNRs/RiD4nV9yO\n",
       "0XxzEliMLyX9oEZ+eeKwgshQOgOaaZnLnChJuah5InBjhAz1J0cWILUnIeV+FeUv5GQYAs+xdPED\n",
       "FpqCCXVCCFMaSp+KM3ew6U/shuGnlXJT/pkf+AGNhLGL22Y4nZqQko72GBI8b1Yi9ohfLvz+iPhD\n",
       "XGqoI64e2kuTiGzvnH4w+BjEBbWVZRNlWzFLlvL1wfDvN8KwHP1iUoJAzIqMI0o+roAAAAF1QZuL\n",
       "SeEKUmUwURLDf/6nhYD0oOd7BGGwAKRKpLIak2FZNxCKl2l4te3C/GyUan4xqUtPu144Ch3kGV/v\n",
       "2LQsju/1PWqzrzqG3UPb4XdyIyjbSfUVFYI4h3qFt+1BldjW7VG0p/e3dPsbI7ZXAdGwXWikU1vw\n",
       "XnqwPMPjkx4o5GyyoSQ6+cDStnTAQ2DaZ9Ztx39OkXt/aMRAFawOEdNDutdBtvwuyqskaVUuzg6Q\n",
       "QYi5eAZ0YZrkGC6dKAnhl8EiWysvK3b2HdLpnoU6z6Dy9s8MIdeHaAYK+P1/YwpMhojqbIuBlToS\n",
       "VuLYKKF0AuUcoByOagZqpL5WWfikHFXyWwe3x6Cbu/VqcDaleRRvLdZRDh2TRHvonCqQQ2syiaPg\n",
       "HH3EicxrTZ3B5EJ1zCgCVDfvCKdSyTVRldf0+5kNLO3SCqwV66ipnTKmmgiivOoxAxdx2OkfxAc4\n",
       "JG7TwfAiXYuVsnQoTfnjPnqST69Tjb6o/0AGQQAAAP8Bn6pqQn8JIdaBfACatn8B3dXpVyIVI188\n",
       "uzo+aSoaQf737L0nEVpNHUJi3oUfcoWIzNymkKdmniN/F1hXuTWEpXNp45DJzSTLkFimsFkQtv0m\n",
       "v1es7UUFzVkLexhb4rYmif/V2t9HW8eIhYpWRg5JLzp3nGQ6dp9Wb2BMWh3nIWg7nqoQkyeHj84P\n",
       "YM3V/MEftvWHPHQm0aGwDcDJSBgkowrF3yBsSCx1WF+qWRwZbHUzZrblNFxqR3mEmCV98vd+PVAw\n",
       "9oxdTIWiPxp4u7qEZs5/LQzA8fnr2neH4IX01sJMKa8jzEAnFFf5ZIA7xcUiooxljIRATVRqFs/I\n",
       "tvYAAAIPQZuvSeEOiZTAhv/+p4YlERVIAhqOFIM4sqthqUzXqcTXq3JKlQDwWORsBMl11Az5iaCk\n",
       "0Gt2UQ34UzswYaRLlbsdE3JpOw2OLU6SJbngdod+FT69Tclibh83u9+z+PX0+/0gOm1FBo4YzOCS\n",
       "vAzwyJgBBJWAdWkLPZE303U93tgCUIv63wyx2uINEphrm+gyb+MnliEhNAku7sQ9MLQ6lbUhe7zj\n",
       "gRzVIPXlaJonuxKtkpAN7zAiOmmrWT33IW9/FKJ2gVfxzx+KKv3K/NQV0PdONw39BwOkjj7sRawS\n",
       "vGGro4Y8zMkezhjnVY1Zyn0jO3PZyHfy8UuniBzEeGE7aVidjkhD36fIj7EFJbcOjCq0t7g0bKqn\n",
       "rt2jHsukFBeyo9eQ2ZOD6OKlVePXarnkr+kKuhOOf+u6YUCjDu+pXNc7hKHJchRXr1YlEK6zGYS7\n",
       "J8rihT727nyzCAFepSAb2t9icxr1ehxgl6H1vikdik0VfGlbmTBTjlyMSJmhPxdVrhg6zsocVkc9\n",
       "+dPYXWhSNHqnOdGYCnyGW8bRc72ZjTk9NgQBL6JsnCriQjmWSPmH9DcGWmNw0wZdAyzJbfxspCOw\n",
       "HvwOiOc3ZD2zhLK0y5UooTzz0dVgAG9HpWREuVmYo1jIYpwLVrUEkri7gQTG7/FxfDI/GHhT7tr7\n",
       "mab5jPm5iUQ/ljwvovnJBsxHQIAAAADcQZ/NRRU8K/8HwcqO7hD03oALqFXq90HfcmKgT2BtAK89\n",
       "g3m6xTH0qMFz534X3lvCUvO6IIL6qdOiPzbtZqcCQdnzU+5DMzuwB11PgZKqUaMGlpqKxuXjv6Ff\n",
       "heAYVQMYGmULeiiTGT1SsbBadYdXxGSgGGZYccFgbqtutoL3ksKdCyZya9QeGtSzQ1PjNVMDp0FS\n",
       "2OGM8lUsnaXFIy/UT3jPlY7yGuCauTWseM7AkHUCvqvDFghnAO9JhMNUtbqeiEQ3iOiq8CqeS/tz\n",
       "tnUnTg+oIiKlTH28VwwzIQAAAU0Bn+x0Qn8Ia669HB4gEwAIgVh0Nb/W5b+v0/19Yqgo6XWyXFfp\n",
       "lF8cRXdlaX+mCEWAq2kN/5CH+DFaJLJUZ3YPsrjbNyA27JBZfntDrb2bFytwNQ5Zln7AhPy/QA6d\n",
       "T1zLy1RrgrMqY+eUvHEHMH+qSTuQW6xoCd5KPuCojRnRcuuogehlurmHC2OfwpYMT2omrghDIR4q\n",
       "osVcNBMPSjgft9cZ72PxREenp/VrYvIgKLLzvl/WYRQcKYsxWiEmhrSGvMAv5UIz1zVgqjzLIpci\n",
       "N6tdcjGJW7PQkj/o8G/iumET5WIGE1ThGnKKcRjeQh6gJ6eFsHF7LLf6+gC0r7ZkFySr6IlxV4i0\n",
       "KxlfRgcEi/1ignhGbbx88TidA5Fbvw5tfMQdnZoqEAD9x+xBiAiTl7XmpTmD5OONH3i6J0+px10Z\n",
       "rQ2ZIPsuUsnNk+EAAAGGAZ/uakJ/CT9gvfaCKvVZaACdtmzJ/CIiNxAyvox7bU+de32F3uRFO0u4\n",
       "j4JP9wbhuTA+2y0NIviqL3Ci75Jp8GVFWCpjAiNhoCoV7y/7ZgX9ZovM0lxGi0Xip4XDVMJlMvLY\n",
       "TGAjYz8wwwojV0OW67LzSFBlg/L75MwCaqzuErh/alhbiH6tHDxz+ws7hASF+xGOFiun8fWwclA/\n",
       "TaOWQwYpz+SK4PKcFAMRAjDZaBEUYMVi16YhD40xCsKcU4CJ64INRZvSPtjQNTiSOAxDtPpDlQb6\n",
       "P27+39Rk2yzVpjvhdbpesE9S1voOCDbz1mfW0gXqiWaovaCnWPaZVl17wdgXhAeozus49sPc1sRz\n",
       "uTWN79qIYfm6+gRra0flVe+SqODa0beoTnoSN1Hkk1ujl2oG63/patdAVOd45tWjQG8tOmFmgSaS\n",
       "Q8tu9a0L7aYroofEhTSgMV0sVrBGto013l0WRTxLVgeHNyCs2x13NdEAC5uoWF/smKsTrEb8JwPm\n",
       "U7AKDQ6NAAAB70Gb8UmoQWiZTBTw3/6nhhsnn4c82QouWAAc0FgaaJgluBXIHpmJlM37RWfT/5ZU\n",
       "CWihSEoJ0oTOlj6yVD3JtVXffSiCFJfKefU4dv+HkfO3M4K+goOwsIMJA/lsVB2bqbKMafowWeXz\n",
       "3chrfcrn/401BngtAUIOBMjLOh0qecKW7tA2rgEwem1T4rIjLX8FLgekct6vpzvIIgi/TW27L6zY\n",
       "slVkaZXS8p8DP5GCO8yq70epgF92Z86Md/0czX9EUIVsYgcTNNWNRLX4al4IobaKdeOc+gIMtdCO\n",
       "IdfErSUQvwXXzUw/a7sSy9mYbN8++QAdS/yjA17bkQS1PtTHemYDj0JiisZ3I8pydNNpl4HdA3fb\n",
       "kym772NvMi5ZUiTqsxOJH2FV7IHWHqsmWNJzG5qjoIjIk0Vt7J4uyRXrXQwHIDN8xtZKT/hTJnv1\n",
       "wS+hOYIL0e6WQxTVC3gGDZ0IVQqRZNmRnu3ApolB88b1ugpRyApE/QSW/diVzRwpqXZ//1Eva8W8\n",
       "wUDwQOYmgehUHm1Ns9EGqIYbJ0gjqiHYWIwR6l2jJwfpJRYVSzCNRUNQcdPIl27QqFNsv8m2pu+f\n",
       "6hJN1VeoRNO7GNF873KTK+DPr9t6OIjkhjPo075p52vBiZUKNUvl/7+fIErmttjLgAAAAZgBnhBq\n",
       "Qn8JNJC30Qbza9OKbQATaaFApKLDB4A2ExuN45yMxUcWyvkheKlSXReC8vtUeVZ0HuUqmSN+ALf5\n",
       "eGvpDT3MCBPzGKCCc4zpUkznDDoqQYhpBFgaJYaTkQe9eix4/lY/TJFK19KjP9k9TQTVWKVhl5a7\n",
       "4AbF2VN/azJe6zKi27EGioBuH8JL/MqSDexT6OgueqmAJ7Pp/22QdHeWvbUqvULWpMbn8Qlw3D9K\n",
       "Zg730f833sbZQGnh/LTiOiMb4xq6hAvgRd3LYW0dQ3qvXP2TLNDmjr09JDCWAjIc77NWG9nMO7xH\n",
       "rwydTwSPHF/foqjvCsVgCZnKD7W5ibQSuYj+CkW9aVPgTKhEsb1BQHoGuemrrsrEuUPeLxVSrgEy\n",
       "udtxQXSFM0IKe3p9OHMvmgHVaAMCsrlH5iQsSdiH48Q8WiBkz2YZoOyuAvd92l30Mwf50YBUq8Ub\n",
       "tLp8dQcpuoDH4fakpS86J9cik3viE52/yVtyPibe3QtVR4W3trJewyw0lj8nfglHQY+HtvsH4e7J\n",
       "McutSygAAAIVQZoVSeEKUmUwIb/+p4WFUftOHgTmnR8ARgrCTVjydMd1YK5hP1dhCKEJXBa34vXE\n",
       "qa1PS9rtSMdfCv/PaYcLt1y8O27bFO0PSdAUwdR/IM0JZH6SWkvVPxFxKAP0SjShWTauaxCFwtJd\n",
       "fCkg89B1699e1rDIwFZcP6Y0h1uT9nH1dHHoEVz4plnIi4xJa9mA0yEx0JSLJgcY8O3rE+zPHYAv\n",
       "3vRdslJ3klqvRwG5/BPUMv5TcRKyEigdL7cmR7C18coXOGAqsStTlYVYHh/PbVUh2NUwzj5YD2pj\n",
       "FPWv7anpkDT78tdM01LL0GwTXZj0bUM8SV/38P+OLXJ7p4AzLmzf51ghCsTHyKQ2Ih2W2ExjkS78\n",
       "yXDosimzNjKSwlL0HotXXUk/bI6nVt9U62xyM/xGW8he6prU9EmHsV2iH0Oixt4c/rm7KnW7yQcL\n",
       "mO9QEA3ttiH0yQwfqjYCa9n9Xy/s/7cr/RXQb66XoKYdMDYbetCUInxmIMN+93qw3r5Ap78A8CeX\n",
       "Tmh+aP32TGaZLYTPy411/fp8h7Rv966oCggfDMjSjuGxB04QxS3pj+lP9DFuKiT2MBv6H7CoD3az\n",
       "Z61MCBNDtxdu4KNf5xca5az8iIqODRNiu6VMBEWobpn69z0+9uqfzsvQpKeZyNpqHMbwlait0dsI\n",
       "u3U72yoON0s6ZBM8samjP8RC7LGETlCZ/v7cUR0AAAFDQZ4zRTRMK/8HEKJo/4kd5fvQAE7a7+sv\n",
       "UuFKFzx4TDdXS8I2RH0su8dKY4QhSR7z8WOYffEnjf7L47/I2r337zePoHfWpa4N2tiZYryzV1Xj\n",
       "VvKAxJqo+WM9/ylk9EqRkEkkSGbfRcVPa5CzhwylnmCDYjokWMc+mskgd/FC8oDtIa4JWlvQjLmr\n",
       "K03jqpLrZfM86U31YMAZPBSSMPSBGD3TOnhxBOMdHP5u4xUuL44snaCSV35V3jZwT5g+hcjOajj0\n",
       "Fzaucp7l6hM3s8xhgBSiKbR+xNdIDw7HnLQ6UETatzFV7S05DQU1rZN/zxykIbcDvPzuOhbAZ+CT\n",
       "uvzVqdPLh2jsAheRyINA3VfS1bygOnk58BiQL36AWV18omFg8bHGTCNsVxnAATmh8ECI7fggzKQA\n",
       "SeZ/H5dp0ZmOkQwiYoAAAAE/AZ5SdEJ/CHToUPFicCtMwAIg2bMoJNJ6pg7lUvaHN6YSC9L+f7La\n",
       "uK6F1R25LhVK/08u+tCRaO574MbJkI51jySGy4JYg9ufyzRsT7GfbUgvXIPQR2klJdk/pjhEfDgp\n",
       "K7B3yzJNm/GfukcP/xmj0KQe0GDf5+PVdyh9mMgBuXUPnkSgiwohmSE/49DcMyWKmpHlkispRDQr\n",
       "jFlGU4AeamWmKmHwp5F3GNr5Ygo6yvxk8H7Uy66sEvMMRzG2LrfYm1PheGBpTobkTk8A3QkmOivC\n",
       "xAS2xoyiJj712n5vEF/TWvn87HHAG2KmtAtZ0W5KVAri9I1NI1RA+Dl0DZ16nI8UmTbmAYO9zHMT\n",
       "O0/kMiMgRB5684dnznhGScNmaepxXCkdd7rtH35J+SjBwfsSRsuv2txXPmU+G1XCsaDKnAAAAcEB\n",
       "nlRqQn8JIdaBfACYTQj89RX/6n7QKvZT3Nn7roxYZCJwXqbzrLoEZSlWGVsIaX4LdvILfKTtYaJL\n",
       "NVKHpmsnip1v6GlMVLOGvqfS1T95+6Wle9FSVPTPRscAk4IXvvdh4QdhZ/vkvE8kj1y+UqbUqg5X\n",
       "Owg+LTFDEC8oJsefgamsKLj8tTmOaSgFJDWNw+5xVy5d1lCKMc+DkywRCjU196Ithekypr+t576S\n",
       "ZnLs0qb4ljrH9cQgyrMzln6T6HusERU0U0ppP+LNCjmNDPZenRoWCPxd7Ebq3Ve+Z7lUrew45z3d\n",
       "dLy2kCRMf8utveXmHM8skzVy05EC5YZ5TRGxM1zuO76U+assY1GNoaIrwLjSq7sQeiY3EylZ1rQ+\n",
       "TqDpWkOfhZJwyu0L8upcHQju4DNYEdZSPy0/Xl+xvXDBdkf0K4or0/1/vWsfgS5/XgN3qwgeog2R\n",
       "mYd7kTidfdwGU0fYX7HOymejkQIiz83Imh1q9u4dkb2ECoFDEngxpKmjO+rP7abwjlg+TMHnDrhN\n",
       "i0U4S4ccG8c4vStmmSa4lIOzzEKUB2gWfWwIqIL3wEjsEtRUx0Nv+k3J1SpTMUQd8QAAAlVBmllJ\n",
       "qEFomUwIZ//+nhYYeiUACbJ/k/OGGrHOu/OCFmoPTYozWGYqaD8VynpZ17uC93q0QBQSS0rsOkX3\n",
       "NentxSiKYY1abpqfnMzxByYExATqwjr5rbImyz8nT1QNvm+4NNQLIfcX2L2EYdiOQzfbMu/VmATw\n",
       "EGtfycoPTsOlRE4wqiqAZqs0YuBO3PR0H/v+vwRQUuezdXJSPnBOnZPKR/8S/3Qz3qK3hAsFmuU4\n",
       "iMcWen5zDqlN2/wv2bwSta256MNH3ttSIsromb0rIpvzcCNxVh7oSA9JaNaMYDnJ/iAjUV3pSQ7X\n",
       "verAAFWe8abkS9iNWG0hRWJ02P3nj4KSxR6MC/1GfxgP6Kz+YZXUsewjx9tgqeWslLDS+4/h0bs9\n",
       "Q/OcNa5wql5C1Ax/oEXUTgulMwWH4umpy6J0qlzBfgDiaDZ7ExkGHthd9i7CIfPG/L0tkRgqhDVZ\n",
       "EyoGZnjkdwY7ejJkWxV2l8o86amI88PiXtYXUdVqtDLE2J/TO4H9KE80ECdgY1phT8c/e80j/mNA\n",
       "0TRNfjOAwmJR7PrIDZRzjjwp1w4qsQy31sZe+o6NlPjTIMrJFfLL62uaNJyT302JtrFTjSsCXP66\n",
       "24Stxtt99VbrE3i33XuB5z32+7CaWrg18mVkj79zYiA/l/n8kABZK+8J9kXpng/IevDTEC2zTuL6\n",
       "iX4crvniCRh9UKsFtk5GHTJPNvOLWYj5YZTT3EJSgBQXZGdmewVqVmajXibGb5ZOIqKoKKp7koIJ\n",
       "CG4x0VMz1Xo7//W75ttHZw1ohuRd9zAAAAFjQZ53RREsK/8HwcEunHOaIzQTX6AC2CnK0Yb+kMz0\n",
       "E04gwMHXNPx4pLGAUfpGtHFkPrGiz+C1/bYtOdBK4916Rv5o9BfzFDI4UAVy0vHClHNvTjW5qYhJ\n",
       "X8nIUgqahJ3+q8dM+cCEBbyMdDwaqaMKwM4M3Z2VYPYCXadcebuTdwf213k5s9ypGUwPgLo7go4b\n",
       "NjYXjY2KnNSnfV8eG7Me+W+nuS+ABYWXNzzqiWXc3R+f3o299jgxqCxIq5edhha5JwNZUHhDjA0X\n",
       "Wb7mldQLZmeOwViW6xhTtfXO1I36+3a8FJWhwk0Pa4UtdXSpOuE7EThxRuM1VarWqAeEQ4uJqtLj\n",
       "1oXgFZbXPktjeXgtw+DRaGwiEgu22ZVHmsA47AKhdwwoIsenSHlYK39yndEEKjL5GoNO9xl3psmt\n",
       "ZyvChHM2DZIYzbQ4qlqexxApd/WZvuX9CDu9eWE8cxl7Y6WoTTWugQAAAYIBnpZ0Qn8Ia66+Ph4H\n",
       "/IAQau9eOa0JFr/2VVIzSV6Y7GeS0gdatWrvLn2foPy8BZzsnUPknWDX5MVPFcIEDdoJ1PK1nRGr\n",
       "/FpttRlquEQ2gGXg6c0WZ9V80Q5BdwQVclYz/XJFEIiqtnqxTksdmtUdRm1dYPueVh+qpJXQQpwD\n",
       "276uRZZG5jhsmo4k8ueupsdVg/f4AnLXqlOEMKB9zl5HZPM+P6v8oyjUSNQ9qNwhLJCgdQcR67fg\n",
       "sK5Slln0m4aasFZUZSa8comzkXl7kpRpN9L2Iea6KhH4dwyk8dGFLW/tCeGkAlU/djXjtk47bnhI\n",
       "JTmpZyLC25wVOK/oTRkqpiokN2jlnk44epCh1iN1SVJxc+Femk2QLnPvyj7e1lsIDRRF1tQZNB0G\n",
       "L292x4Ke9bT7AHPtH3iaA4F7Nhp1EQ5mB8z67zMJVBBiIQM9Z1wYIYhMHWVAwV7Ispu38r+B5Fpw\n",
       "mVeMDBbjKhEFEhjH8gB4k1NfII5ctgZt0KhpUwG5XQAAAL8BnphqQn8JP2C9v75OS2gUKetBp1Rc\n",
       "jjJhNK3IRLBLjxDUnaKb93SKwyiAowQKO9DAUtTMuSEjByUQ4SL4w2KVjuwKa6JyMiJswOLGypnE\n",
       "YCQup3vwYUoSXACW3Z12xiHVhxyfgzjBS8A0Jj62po+SaqThj6f+ccS1GV1mNYLA4QHm5LKHGnOj\n",
       "LzwI8ihbTFySPLE6/59oJ10mxzgFRbR1mPSIuB3rwFjUZeQUGfqRk9Say30wAqK/q8PVaRhtmAAA\n",
       "AaRBmppJqEFsmUwIb//+p4YbJfc6/y/1vAC04/xWKLA3b5BgZYT7eNfD/3bz3DpRNGFEQf2wZTRL\n",
       "0Wevj53UHhw3pvvHM7PDzke0n7T2ll7QocV4NQqUF8e/HkuaEzRo8NwVUIiY0UVq4PHVBXPtbkD2\n",
       "EMU+boKx/rTxjagq6Yv+Cw4Ce9C0kwj6lUkV0OcEV9p5BpOVV33Vt57MRqIHM2zvmN4PXqcE6q79\n",
       "P7CxbL3qzHTbRx0z2MxiN4xR6todXprmV6gVOqGBoBzqfUZweyvFdXtPkk1CIJU7Q7Z8HKltWZqu\n",
       "f4SdP2Fkbyf4//v8e4NCXFhm98HFAxhwxzENmKjXEJSaKtMWfwJuDAqDero3ejE2zMctQxSSNSbp\n",
       "l56SDDhmtE+iu1Xr4ImIFDQ9x3ew3lguKaJ2VS0teGh3QpPorp9i5Gsq3iY5aS7EzAQ0oAKNbDkE\n",
       "6AL9dFldeCnjj4KPIyAZboKBPb+DjZueiOMntW0ZolmMLg1g7Dz3EF0ZfynugsL/Mk9pE3tTk6zx\n",
       "I0jMt4TNQxqv/mS2RSQxOq213KawsLkAAAHhQZq7SeEKUmUwId/+qZbYR6S/jiH651oAWnMRhcOd\n",
       "vPkngAHljOVmjzkhv+fJnoYQMPq4VL/eD3vFeiu2gkR6l/2ZfDSSDS6ygIEiyTqsuKxS/P5JncTY\n",
       "uRYDfHxmLsXsWorecOq6LIZ0sujKhAPjCnqSNViAtMp3WeSoqcVfbl6zqvkxHV2zCTCbe1vjk9v/\n",
       "wkLpsKz+BZQBCebmWtB9gSACPXA6KJ1SJT0O3UReqsqZYW4yvq/6Pm6annvJ8UWJq+8u2UmtfRpl\n",
       "N+EAktIx6SA/2iqgzPLxGkVDQ4xsSZOaOKMtD2c0qPFtkq5D2Z9UYmnk3Ubkid/9dJis7VM7xUp3\n",
       "bCDzDC10P86CO3OQY38N1CqFs59JUHaX+py9/W3gnCceUQmRZCu38lc5pgQOLslRQqz9431IOuX1\n",
       "7g1BUjFTl7j2+iXYPR/EuPMWG5A+XhiUk8ggX6XpOa+SQnR1g1zcpZcb75+OaIY8pE0eL8/mBNOx\n",
       "mydPui3mFdHegaeC5ujnXDtHpz4j9yZvCrTZVWAzfElzbsoru7OXMFrMMekkJqbmph3wbWPGnLPJ\n",
       "MrqzTCt6L15urnU9Kkk8R8OD7z+633PpcKFw5cEIEm4rad0DVyBljKjyvpA5iuhQOUQbSQAAATpB\n",
       "mt9J4Q6JlMCG//6nhXxgEjUHXigS2/GfgCN5GcUt/gy16gGr6MDP1Hwl/AcXuHBUcKpfLLZCmIC9\n",
       "edkupPWHhbl8dNX80xF33xaVC+le4q2Z0ReN84qIiMZ1sMU9DB6/g8zWV+6bmb9uCAPynMZsJN48\n",
       "xxPtheYqwmG9UHFyt+CwsUzAF+8ETYOKwXY2mVacYljhAnfxSyF1fEUZ3DqpmVmJI8AcYgrCBCph\n",
       "poqIn2IpEFK5DYR6YfPzWGl/IGLMXMXWdn/yATUAs4VGKVG3q21Lg+JBfkfGmQ7ZxOW12YekzHp1\n",
       "6SKvTu7P3OOnZ62J2l2itebZi1I5mKvozlgXJefvEPZuDX4av4T8HuUpwFLL1oU7+gmPBIxHzbVe\n",
       "q7X41xp1rQwTmYRrF5KlfM1dQzWrtXxrDGXEQQAAAS1Bnv1FETwr/wfRnAAbF6azAJ0DZbd1kgrn\n",
       "H4VrglSNHfP3oX/KqTu2hFfLL8aAYVGK8SJeB/HFiT0owKluOqcpeRmQMLP/dQ7QZh1n0LW3oggM\n",
       "3lLRpup2yjnp8FDxXjanIBPj5s2xif3pHbUpt89MZWsDD+V2qanGkd8h6O8bLag/o6zL4+AHycq2\n",
       "ndF4ZQbTSuWcjEeZSDusuI/Pqv6QMKFUzWshTRZ0f79s3mIbI14tx+3Az1SS9/iF3nixBoheS9KR\n",
       "prb6NIrICUPmOXeJsz7363IhEji6YAlXptJPSpkSt+AoqaSR5dhtK2HOXiXasJw/NazFTU5Fq0Qt\n",
       "jJCHClK26ExLphsWzlKIM+I9LjoPzXlGRW1Aumo/yabXndAEwyNUp8lmaTYz8opBAAABPgGfHHRC\n",
       "fwlCp24A1XmoI+bAAG1ClkfwmnXuJO5VPnhE3VpcC/3L5BqLOihpEkZGUkYg7xKkWl2QtQAocP1y\n",
       "EHgrehuY6kfmfWmSuOkqhDu84AVQ3oWXjn6oxgl3J8NNiLUrHd1ME6319lt6rdklcKIsQ50vR97n\n",
       "gkSwvFn6YijkuZ46J8dXswT+oylzzpWxLM7BNJSnuptxXVZaByY/Qq56Sr+cVC7ucUcTGgtSwK3f\n",
       "n+Uk5igfUAcDLEt49kHiQDxQyqL9sykk0H2Y0qf02bnjyzajL7z+7ez7nXbYKne1KJ47c+W1lUA9\n",
       "kBjMPQTjjDFbuJXI3wOaeHgHDO94PlNdvfRY5oXfgQqr12VI8d6MC0INAReYd+fIKHkQTONqBM8W\n",
       "X+mgZQ+pe3VM+3x5aY+TM27boUNeiW4iUatQVAAAAVABnx5qQn8JNRLOr75inosbC+LUAH026EcY\n",
       "5oLH7kf3oKkJqd9vzTd0+fE4bZOQGtQcYB+gzSDccpgOO7100tX5BOFDpc+YmoUxMIhJ8TQHA3Bs\n",
       "CxvwawMGhnq/qCllmbZlHjOrtWBxZQ0IAoRchpDDqv2ujefcitafbcS+UttI/UtJXHGviLnY3l55\n",
       "QgM9qGo8X7zZrYt3FLeIqIHpkltFRthrATZbslVTrJEcxi5132vCVKvkxV2dsWiTNlzSIvi+oegN\n",
       "XzXGKGvSjSPTiT8HFXuz+qaAqlsI8Yc1ZzdU05yhTKfrPXCtSPI7oCyLrIcxKGgSYmIGIHLvI9Fu\n",
       "skiHQm2D4zBms9BJ444uZjh1ovuMwuQ9VZYMIM8JnYeJbCggq9O3dMpqHuaTWyH7wfiJo5P63ORf\n",
       "DS6Xgd1d+qbw7D56L+kP5M8OIm+mtT+f2LkAAAGpQZsDSahBaJlMCG///qeFfGAPBwcivXwBFXUN\n",
       "54IwAcOX/mN9L7LNy4LwqQFXdf0vLCC0ZFgip3KYVaOOUkYHlhat7+q3FQCy02CGdLPPs5NRDgFW\n",
       "cS6sFAh0KLRdV2GG2hgCJt486Fr3xFwpSiKKhJ5JCn0DKfpasJRwz+floE8fG+BTLhLvhUEUuJam\n",
       "0QPoJFOKDbRVXOEVFM/0jtIrvjFBY9y7htyMf8MW+mI3feJpfxh1M0WtpzaZNHB+SNmpB2lFhgTo\n",
       "68o3gIAVFG/+/vtaCJAtvTfNCe5eLN2lubSWu6BzmXbQCt3IRYFTqo9f3HE9R69GnIAzIW9DwipS\n",
       "XoBEQaTpdAadMiFhSrGk/YrI3tJpiBy83xifzRK1cSO0fO8xBNi/RoS3zl4p9uKsL2f2WrR4dyLz\n",
       "v7z9UMOBH1VgJQEAaCllEod5ptpce2bvCsSe4e0Dv4xekWU0JbJ8NFMO4tXIFPNJEgtxhhb1HHkG\n",
       "PoqPb6MpJEkgxmSrzd/q4zHgDZ7sDnh3qRIzPRpeiEN0mPBz9cSyQ7W9wcu0ba+ZeisMGMhC4YEA\n",
       "AAF7QZ8hRREsK/8HEI5j/lBWRaAAuoVetqLpaqlspqtLq7Wj/j4emYwWsnbUmd5KCyZx2im++kHr\n",
       "1yrGYqnPIlfALzRkiWc+mQSFsU0jC9cBnaFC3vI0+LarDUbZRXwOUlIVDq5Dj8phO/p5+Cg2WAle\n",
       "mc6MyKd2WBxpGuCHNDS44idKMEj66Zn8foD5pOAvm6N500bmHkIgGk0/7MgY1MuZOerDKbOSVIsN\n",
       "9T1ZLLDjR7eWNzcR5/qMIm6NEmftQYo9C13uxwJiGoVz0y5DeeaOYI2hr4n3CHv1EViMFDSk704K\n",
       "J207vHFgQz8WYJFsdOXnrTmOKQ7TNmS4XlxoZEA9oQxx9bwo+q5EOP6R4JgMajrBswD8CY4/LMDQ\n",
       "Q1DSg+SAxk1hLFqHmJ3DLGNamm2LWcljj70aEj27lq4+Dx5pVmeSGkwFmO/vb9Iq2wXLQl7fLDCr\n",
       "YcMPtIFZD3wb0zXvA9mBrAWR8XPkqvtVqJenL4FUMkcYyd90nPu1oAAAAVQBn0B0Qn8Ia66ots2A\n",
       "iO4AQotINdFAIyF2w5k0yCSFhdoaz80cWc6Ms/qgOv0ZPup3AFUTq/Ymo9yyBHjBQuiUzAFOmDIo\n",
       "phbSJ2OlfzYxJ0f1U4VmHS63czhahsQczUXUyzSiQlIj4cnG461z21bfO8e0JW/wV6TpNqRmTNbP\n",
       "MXtHRZ8LfK8imoYti5WmExX40k449N+hzlYUdWTVCZuYkneqPWItTt9WfJKA6UXr49YKnWhMMdEB\n",
       "0MFwpWQ81Tmlc3nXucSzKGCq+DFJS+2Xc4u3kEU6jeDdh2Dwf2KOUXPQZM66bQDnlcE1Q7LrDooT\n",
       "1lnxYXI4XJdsOpC2SiumGag0I4MasAUPqO0s3Fy0FdWDwAfVb9LryW+RqB1vR+40ANLoAFzAMp9v\n",
       "oPvKJ4FRVd4nfwVEePOv+Bm5hitCOZvXEQ6scuuHavAPmwYzdflEp87BAAABkQGfQmpCfwkh1oF8\n",
       "AJq2fwF+RDQr1VQEFhOIyjkjsPUGVhqGWiOmpyYtwj3itJTbwmw1LLEX6c7KkE6UL/Nc7UXGHncR\n",
       "bDk0g47Yr21I4yuR/t0wDXPZlAOYjlyU1DN++1XP/0nKpl7ubiBqr1DJoWbU4X7xHqJ54OcPJ0zu\n",
       "szuh3PME/RGuIiqZgk5TxQxifLPuMiCaGSUFORpyXzByY3liHh+9DD8zZVeeiD2ldudqngoZt5aU\n",
       "wfA9fTVHDMeduRkjaubx54AuXlHlCaaAxqm5C1ZKPk6g1mGWVu1ivp9CgNReiN0YHqQqs7KWhd7M\n",
       "MaNenVzC3HhmI9r6mMEyD6nWOLDVPJmsCIHT8t6RjCSxK/ou+3BgbcFhtmXHwlqyP8zxulFSX48u\n",
       "mqRodCK9gVXizHNLxOhD0rt9Oqe5pMhn3j0JbsKyDWw5Z+szVYX9pkdbLsWpywmy6F8KZxHxBSl3\n",
       "oizxzz1/otF2+Lbz5sA6SzUvWB3aAtI4EkPRLt9YiZ/4mcav9N3TDqlPHDuyPQqVAAACUEGbR0mo\n",
       "QWyZTAhv//6nhiUf73AHFjVemlgo+aP+SjDttBrm2XRZMrFJ3A8aU+YuDJbARu1B0VCp4nAtA9Bn\n",
       "6VPNYxiGtjsdBT575qsFs3U8j3S2crzzoj+HBi6KH1clytbGG1FfY/oG+10yvIEgEli4YLmu5ud0\n",
       "k8HNHUKyJm7rcCCMqlMHu64zzu1mAgyCSmLgKaf6KBBnokEf+Jch6PZPT4ijQ3TPWjX7LOHqgmSM\n",
       "vv3k3Pu0Hi/Y7LfzvNKZ1H3EdRQDxFK2zrewYDH4DQ6lwcIUn8G1puONn1ec1PW51wvnF5juvxJC\n",
       "r4E8DXT8rqBo//oTig4fT9JepUGmrQ/6sTuPkK5eNqu7IAUzpfoQED/xsdllgYA5cFrImzgop352\n",
       "kOnrjiHwBMGjcE++CgoAtJDynrQFCXGFTmjTRuzzM9tK+DJBbQQ9TKuhmRsa19p0lLp3h9hnP0t3\n",
       "M5pdB3Ajlb74qG/swLvyrCi/6D2VsLmwym3FbwB+e3yRzUQ8J7UpCVw17miAS5H6hpqoxpny3AJz\n",
       "hQk2mdJQ5tpqR4eD2P/9dwHo3lqhk0CzXRrFcw7lauNnqKYVzhfFBE5qfE8vRi+i0xA0CKceN/QU\n",
       "UgTIFYs3iAijrw7oB7QJhZPnhCbGDUb7QVBVxgnaRMCctuXQzzF2s0rzLk8uwv/0ZlwlSDsVdFEO\n",
       "BY/ya05g8hQNVStvoU/xviBkmKqurlNx63zjOs55Abq+lD3SKzIuW0bNzj2r8pc4XncOeTl/sHEF\n",
       "71rIo6bDQZMrNc8yH/bjv7kAAAFsQZ9lRRUsK/8Hwcui44Yb/RIATUtROIXB4BwBk890veDTBGTt\n",
       "h4qdmY1+EUryBYG+Dr2qKQJsxq0T+MpGpSY3vLOktZqpHchoCCAbg173NZ8C7tsiyU9T7cX6fcU/\n",
       "LlfzTEt30Qk6S+ybSDilXuqaYRJJst8DjxNEpGacqMQ2ZjaPuOFY2w7WkajAfYF1oQDN/kZ++t8r\n",
       "R8t5FC9NWy4fr8bc+MLbPKHngTy0nsCFJnEbfYBoEPouwlWXTQ9jqE4GTfunNJgsHlW0/HWMXA8v\n",
       "GwJATJvH7dWyYBZyMzV7/gaqczcjTZgcd6Z77yqFtEpzjjlXPKeMMSUSeq9EN0kzYkSMKuT40PO7\n",
       "l/RDHBXV84FOo2YOJFYHgIj8vU8wGBHdf1ZSyZXsCMxHp9xRftsKlEPemNQzr2B3Pw+zcwb5FdZu\n",
       "gVh1DxhVQcLC1rZFrJCEFOlqTNl2vjfiPHyHAnidFzI7VtG4OSNy5SxQIQAAAUMBn4R0Qn8Ia67T\n",
       "zqRy4yAA2oUskpQPe/WpYA8i4n1weB7bG+5Nmgyok+YoQO4Lnk3W/kFwxO7W/fgMQDZhUM5FW55J\n",
       "VTTTVL+VEnErF9uzkyQJx0iv+LdF0+Zq0Pd19K9Zx0ObrbbLQ0i+ZFzPQVbpuuDhL36/XnA5FaCp\n",
       "m76NUbEAAgQpCFdX9FYwwwtkreHjo6yKjDkLB0aIpGjN5WYlwB3rZkBTLku9NF72LwlCOJVuI4dO\n",
       "BUtV3b3/kpE3Ld9Xuq5B5R9ZTUZx+NLWVSKQrY0F1/iGFm9eVisW2SbSiVGecDmgWO2rG7pj+9pd\n",
       "P03xc9KXIV1pFvaC8fUnkQG69D337k8YcPfL2ZtrC3GVTFEYBMoJ7AW9NvYeEI5s9hkX5+pB6FPV\n",
       "ZfdUi+Ccx2ok87IRee8FkERsr9L0EJ9nGge+EQAAAVkBn4ZqQn8JP2C+J9ufyB4lAAP4tIbxBLmP\n",
       "6EhbhacO/yzT/d/gUx7P24hvGggVO88Wj1KazKPtVrGPK3ZjZM3A7ZQjtp/GRfEYYB6w02ZEEY+B\n",
       "x0SCyXXaoYcaiNo3Yli5Ud0Wbv1LDLoi2eQ0JyALDjgO7iavE3j/Ui0gZrMo3ROBAutqNTSYmIeg\n",
       "hOQNo1GuDRCaq0ViILSIQY3byvhHM97eupRoHDOKjDPJJhGi442vMmqE/5QmlErJOJzT4o2T/VlH\n",
       "CUttR+wg63J/n+8OCii3luZNaDxYrDLSnISPUhOqge+LWlcpMsb1U7QCQbZjt4krSNAsXrmVgCcm\n",
       "VYLm0z/y/uz9AuF3Fog2hBnAXuGU8ziSMpQDwHSd/uGUsHObOJvwEW4Hh3Yf78Ay4gze8ql8pp4N\n",
       "rfXH8xZ/sZ4Qxdr6eVjjCfJ/jo4eoLtPzLcEQI/Q64JJ8vUAAAHHQZuJSahBbJlMFEw7//6plzeL\n",
       "G5bDjgTXr0AFwIjnp+Np/wf6qp6jVJHhM23pB08Dl3N0ICdAO/3PF4H3W3dc5NhOneur5+sfRrBN\n",
       "F4Cj3HkxvzBuE/nEQnzA0Akdq7EHGt3ntHGT658EAZkEub98fPU9Wvu0PNOw7uyLeVgb2Vf4Qfg8\n",
       "8pamMBdqvkR1OYp6qw+zgD7jRILa38IB5FNR/WZndF5w+nO+e1lwlTA91eulXyESxKlehCToLme0\n",
       "M7dajMDXbj7lKKGVhQ9F1XnVpBurZLFKY7LHfnmsDvbdRySwb1vCFEP6aoFiVdS6ZUws1SxZK1fv\n",
       "cE152YwNuq2g7QoPC1KYBRT4U9edR/vsfXYoey2Tqu8wyjiJFUmCnvUggSbsd523gJi/mURe1w57\n",
       "VhZMe5tAwgN90o4tWuHd/p+nmcv+5Su7XSkjClDxkOLPCYEaeNLFG6i7zW82kXN97FhkYFCkDhBf\n",
       "LmBCiRwQBL8kRjRK6W83D887hVS7CLvVKPyPAn9VnFhB4IxMhzRh3jVmevwKM4nm5Ry6fTJ4+EEU\n",
       "NLYEleyJn3DxdRXOWNsrMK/H3/xy2VZqr+p48P88yLMD92eRoCEAAAF1AZ+oakJ/CTUSzuSYri2a\n",
       "y0AE7bNoYd3HFrfABLQHeyZ49VnJwyDx6cNbrwgK1t/Nhk3Kog/0MdHNKOqDqi+YtOXgPZst38m6\n",
       "6BedxtQV/Hx9dpafQh4e1u6bT80/8mebcbneh4ArCOmIVqyHKL6FTqCbGphyw6DxdsuKhGk9q6/K\n",
       "wYKX4pERj5qztxMobI0E2otLkWdBuH6CWA63MP1FJ14h1HlT5TQM49CN95bfk9TjQVgMY4fdN4lw\n",
       "1DW+5+Iw3lTbDKZIfdjSdkNI9nmE+KZJSAMwYRI3mUXr5qbfQV8s5356FDdmn3TQw+eUk64GdRmB\n",
       "+efiMk6BH9b3o0kjHCDGe6DEmn1CVzO7V7Y71wFWJiJtJFSOTlBJMRpsjIsT8QVZEon6tjaJc2+u\n",
       "IGsyQ8hO276MsOhSB3WlKnFrMYfEtGatxeOYdd5tkkQ4Oj+432olLVapp+gf5uVJ6waBejgwGSyD\n",
       "rBveUVxCBUeL3JzzmvxKegAAAcpBm61J4QpSZTAhv/6nhXxgDrYD9MdAAt6OQi6zveVyYQKa9r56\n",
       "jqaoykISJZGU1GziU6eV+UxAtI1Y2Gpo2twjVOJxBqOkoTYZboI+VdUje3/bi6Yx3bAB+rdqjESH\n",
       "B1e8oT1c34fyYWK7HbzccYBlvpThIsyP84EWiqCvIDemm76Vh/mgaPVTAA5pRJvZim5gBDiqH+Cx\n",
       "zW/R6vqs39obGNUfMhzj0yNXdjA2gPubSpSuVchBjxSq7Ecy3NxJUvr2EIobbtUEeIfnVxbjbG22\n",
       "6NVZ9yKQZC0cUkvF459j2P1Bj6WZ3qPPOLV9IGPRWyhPR4n9uKdPW2HmqofKatnA+eH79ix+/i1C\n",
       "g5gczKNkC5tLM6Io5lH/1mru7K7ONbGGM3OCAe0rDvmwppTSAKmmlksXqmWVMAm8CkZVOOVyPra5\n",
       "VdZ9d7EG/0AlQuaTtY2Jn/Q/LXR6RjVprN9cJ8BxNjhM5mBkFWZFjb/g8LhK72yTjbksiAr92ATa\n",
       "qUtdFQEoH3OpKBkIbAkR9Sd8gkDxuq88P3fpbqNbUMaXT1FygTwUj4C0gXlFmwqzwaSHLseXEjOv\n",
       "l8w88DwQUi1UM6MpOaoRMF9QbdsICQAAAS5Bn8tFNEwr/wfRnAAfetj6piy2zK58S0Zgo/ELnnVJ\n",
       "+AF251aTQ3tWpTrQW5S1oVTHJRxYk9KZcrOPNdSHeRthqPN7dFLXUIskXyIycKvpvEPfcp8wMALv\n",
       "2HANFfeMrEfTtPjdFIyq0Z6DdxIMoBJVAhW8j8edSY3WSDjaojjqHbB89SZXXGhE3DS4Ml8YI+ql\n",
       "p3caaC5SB7Vqo7QpINmOZ3OVEme43FzNVlr1rMx0kPP7CedW1DGIlKNIZ0zQ7pKLvOHeOszoNkSs\n",
       "TMg7dGX49GNY4FEzpU0JGb9Pjyu2e4krkqrXIkAOs1ddWpcVQcYKtzo4PPvAtrz4lWLXHndjeoJM\n",
       "s4HPxX335hyy/PRqV/s1wX5WC9+GzDJJqp8yl3EA3lcwb6pu3t/SEzPLYAAAASIBn+p0Qn8JQkEf\n",
       "0UnonpqCACINmzNSgvN9uv9rZYJpJIGBcuSdxTZ8XzyvLsnh8KXWzVJWSsDN4pPGo/o8iYIjsasc\n",
       "KcaS/aBC0ww5hgjcb1pUlUFqcN99aJErRGcieVAmvRMES9sZ1G6Xq70B4GqcsLeSdK9ADug/a7V1\n",
       "K+ZFJHTdAvCy400YBXhKoE+Yg3x39WW/4VfojiNuOeBerxsseCdo9wY4DjvJ3Gsf5TrULCn92oXR\n",
       "2e2MBBM/DYaKTszgFvfMGtt1lNkTlEj931zB28dgrPE8LDVrgWkqVuY6c3zGf6iTpdJG+QVknled\n",
       "A2yyHi3epWjck416gTAj49ePYvRvrH9wIXINxd8pM4tKqHTKoQVWS6RAKdwXdQzkEc9DwwAAAbUB\n",
       "n+xqQn8IwKu9n9eSLRVFcQPe5dQAfTboRxjmg89PsDboUhNoCFm2bKz358KKKUNTNPcuKV3mkwMY\n",
       "kgQ6gLU7GVAL8JloCWq47ndvaabrC8d/WMDxmafRFBRR18rn/DLDI8vtbIs3iH06WDWodnXzBHJz\n",
       "WSkUyEXm+Qe3+DBkx319icIaLiPHjLUmIosCX3tiT2SW8zHr7R8QQcupafFTHdYaimxjCTuFjXl0\n",
       "rT+1z9Q+itCIj2iyel9iErDnr2fiG4Hc8d59VQCC1Nmk1jkZxg+XdhTV2sUmMWHkMZoGU3/hr391\n",
       "h6B3vO6YA6hpEoGUnCmoVcuEPT1d1Xj7ZfF2hxIA6CfS74kBBKYxjXneWWUY2FiO1Mo43OkDHLeV\n",
       "nfgBFd2F7K2ZjH70Y+/upHkPwafgE1YFCXElJaBbC/BArOy0IcJ1CcY0ZXiiT9+LXbJYVhe6CUbx\n",
       "OLnpzQGPAisY6zcSu7dLpVn4nr190DBWM34C14ZTZvryvzrzpfj7FksX8IsQPDuOa7e14ltaAVA/\n",
       "YsUcOLOVZJUU+/UY9ctqS1Ik032ophkRITn/FV9sDLqGVR8pyQAAAZpBm/FJqEFomUwIb//+p4V8\n",
       "j5hwS/5fXwA4i6Q6xzrTeiogHZEn7UiVUjV5MyTrT0T+1/rqDn5ZrUwhQzoSbZsZz15VKtyKs98G\n",
       "A5r+PqJt0wLmrLBM8ONb4ntzmPKIZmtsFNcNb9b5U+/8Ir1InyNi12+3V4wBLouY7S7/H+SjjnKs\n",
       "YQul8T0s1L4Dcxhd7DzsAFfsyAA7yM/9Fhgi71Grlm6tY36soVmwxNxfRbGf4hW3++GLe6H8fN8N\n",
       "H4y3H2v0FQdg06U4Pmpv0S/rY9t8w8wCa74MF9Uv2ZQRpSI+Eo7XmJPxTlGgTVj1IBkYscnn/j9y\n",
       "ESz7ner5Wpw6JTDeLrJl5VkjdHz9dfbbeMkyyzF5cD6ogn76XJuH0UHvafluGNpAIpKml09pNZLG\n",
       "/v7THyMWBPpi/v/AxHdcDiof3A/Eh2+AIzsUbqQFCisrCB8m5sNb6a0/YWAJuvUa5m6VIe2527s1\n",
       "5QrJvToiAMGbRTmT/Ag3xqS8iB61rPmzQLbhOfJIfFesEwZXtQYvrQRAlxrAYJ/Qzq3gcQAAATdB\n",
       "ng9FESwr/wcetH0QLHfQAE7bSzbbfFR9bKMc86FSnyMDHKXbUNxArtgeoChPOdGZWQsvxkhBlFIc\n",
       "5USdrlHPzi8emwoSpOZS0QCv4w3pANcSj9LN4QxKIzHoDH7q9bDXUJwEIR5ukBilIzCC1bPPGGfR\n",
       "KcQxQmtbgcjw6AdzpHmbYp8+Z/7yFGRySDoIbLNiGOYzIz50MydMMA/eDVYQt0C8DnV0R4gQl5Ty\n",
       "pDdddGoXoVXgQJFKRzRNFXipjgAa5i7Hgp8MqcoAtWy9QN5PjxYbEFI64JV5VBqtQXg/SwPlOkTx\n",
       "sOAFvnB1b/smmg6Dm6mtSsRSeq+NvjpavzUg0Ial3yW8Kocpd8/rblpGR9ejl6o4/QfddPorMgKA\n",
       "tJyCdi1/6aMuXyfX/kuMa0sUKipx9F83FwAAAUkBni50Qn8Ia669G8ZxypgARAtINdG08c0YcyVl\n",
       "fMzqp32NmbDqpdMssW22EGEyMnohfdYjkEKr4QgCrp1KxFGBxIZGvGJUn72jLd2CnwUqdJtLumty\n",
       "GurWpcDzMiPhUtSv7QPA3uhNg+/iRqhY+7xSMJ7Hg2PvLK6JRR4aAsDkJuzmdl6KWOd0aQmf2gxI\n",
       "mn1Rdw4KW3+T9WBJq13tQEA39mooHexk7CD0hR5AfaZc2UvodkIMHbks7MgTTaz+yOF32F6aWdvS\n",
       "CrK6tdkFYGEV+Q50DBhvf4T8ECF/5JaCus3rzqTnB950FA+JUQKnE7KLv0yZ0KmvQWAT5LBTuwh2\n",
       "7RM60ebjWzB5ed3wmACRrFQe2sjQEdAqQZAjdHv/v0UZjk+kUrOzKb3hCqB1+IPewn6F1oGdXqKO\n",
       "MEqp3NK3VgfaCTv16M0KQAAAAQ0BnjBqQn8JIdaBfACatn8B3dYUVUZjqdu3CWyRpRqAP++VOz24\n",
       "cWLYy/zWjZUfcoWR1MUhfcUO1PzhtLn1bgFergz2K/vQVJ8htpv72JexJokB2YTMg8q6TBnnlfaY\n",
       "ZRw12vuQrBPFc8ovfx9z9hmE5QZOsDA8rQEmgldCL1Ti6kaTDtei+2HDlrgf+TbmNp15nDLf1JiQ\n",
       "w0TBUQtE65wUvyKw5OW2Eak29XkVs8TOxAc4TxTiJ6rV70/aWoYjcLGNWv+VF2zEn6wJRRpGSaQ7\n",
       "BGk5btbjC9Egcm4xsmw/PzxPk0q1PbLBW2f3wWe4Fj+WwI8dt3ZHCkoBbZ+IVCiaa5K+2Rp9plKJ\n",
       "xXIX7wAAAYJBmjRJqEFsmUwIb//+p4WATdWuOgXVPQARZ/RUWx9Mgf6FvQRfE9jjb/I37g4ubq5q\n",
       "g3INehcYWnnZSp1dKFR6SWufbpl3oM6oJbMKApabV1wtu24PffKGtgILelbJP+UkkyM2kMT9fkl8\n",
       "8yxqLtszP7AOdEUztPEXsGtDBvNl/Jby4PSyo9q2eXVY6HymJ8wyG9V4LZqbjhYpeXwDbZXKs9jS\n",
       "zJLvPJIeHsxNWgoIyc+4x3zQQdn0L8HgcbR7pL4h/m7+M6deNVSl4fPC6aDGC2jkVwiwU0/t5sTo\n",
       "A2mP9WErhkSM6s0/8OXxCuJavFkvzUJWi/BNI7BkAdv3gcVLGP/p7QRGCQMGNkijiAtDad8kk88H\n",
       "XTFSGTD371j1SKG6HYtXDsPcSbS23PA+zK1ffaAkeP0JW6YO+/BFNAgfVKnizXQvvoA8OtlotPNT\n",
       "R34LoViMt6CN1I+iRGAYUA8ZhOSHphXUbDDhG5A5AiI2DtJfgcnbmvVkkJBiuzxI6PlQYQAAAVxB\n",
       "nlJFFSwr/wcQjmi8B3p0ABECsukrZ01PB3bw5k8T9VsU2Oaq/dHfmo5s9+GUWBD5eiWEXIrrYg4+\n",
       "xSNJ1UO3AgE/p9inZqQpNapme+HLD9XYqTo82/BIA4dU2eLTQrn/SzdDNnckJTKcR0C7fNvkbs+T\n",
       "ONX+I3D2+lHfT2VqECvqa+wWFIfvszwtbABeGgNKKm5OlrGKMbxbuG6fRyMlnwCp5S2FuQiwnNtK\n",
       "xBKlMt+qGpy3bkH803Ky2Xt6ES+FqWTuJNSvB7mqZs2Rpmf0i8276yDrbfcLfp7sBQ6agoWSAXDc\n",
       "B2RAwaVzKgNc5xqb+qKygFbq+QJbE4YNl0+2k950Gqnt3fRkMAhMKxAmosV+/hvFCn26m8fdD6TX\n",
       "nVeIiy3LU8yEEXoUwKWf1Un//3+54+vdwxZJYnb49ulqaP4bik/SMtuxK6cf+5DnyQKVrs4cCdj8\n",
       "ohaO8rEAAAGMAZ5zakJ/CF42G5aWnS7zuAEFmpCOMc0ICCWEGI/eo7Cc1/gaJ0wuq3KatCXfV2h2\n",
       "tHUDECSO3DQ3M/7qoNTLBfFvs8ZFz3Un9k2hj2TWjmAfpvegmMh4dtYqrq/kz49M8+5Zx3Khj1Lj\n",
       "bfwQZhEOyMftBKhKgmx2fIySz8VofaCnw606wFdvpAeWZEkSOzukCeb33FFLaEKnpSIl/wLVmcX5\n",
       "LcK+xTuKKYiIhAEPzXjdNyUzg3M61Vs9KqIViHjYovSV8wdF/fRyyuCw9568U7deiM+O4LEyLzdT\n",
       "+Qb+zojUbWTt1NR+VY59/sj8yeSkoZUFBGNLDeZquBN8qA1IfanIBPe6aohjPh0OQVj5v7eaxsEY\n",
       "wn+JPhZjGnUl1MI0lANSebqH1u9UdkaTpUO3igfr593B74xamGSxbIVcvCUeppVx9WnS5yjeX7IW\n",
       "jcdRBDQ78oypSZ8aUQ4y9O6lNJZ+aCC6/zKMvLynha6Me2/qgqojmf1JW3PJEBg/oidTV5sP0rH+\n",
       "+RZeCK2AAAACe0GaeEmoQWyZTAhv//6nhXyPqSrB720ZmEAHCQ8ZELRu1EwdnO8RPGreaHAeGn84\n",
       "ds3X7YBbGzSYUey9moNaAhq1WowSlFzr+7P7YmQOPpGyzu/owfuiXE5mgI39nemDfPmns8soVaGl\n",
       "w05EsPM3TlsKnzV+Buo19HrxaukrkkvDt6tEOIJHx1/V5SQKjZVKYWoum9SDwR/H1FKKCkXoj4yF\n",
       "FqHuGP4LA3T55MzUKqcEYs0kh6khN3XETUopQZKGpLH9H+lhfbFZRQaionMlmt4/4KE+o7/ML1cx\n",
       "rGDAFNuXWIQcB6dsi8FL2o+IzqsdnFI4weGW8OdtvlrhnN22Bg/2Kb/glxW/EOyRYdV2E0if9+1J\n",
       "v82+0drcp9ai5b6hRV1cLDw1t1RSUsuWfQdqwQN4oqcGRHEK4i7gPoodWLYTgq0iEk7+JGDGurX7\n",
       "hgiIFlJQ9ZnYDn/6TDM5peA7EliQG5TYXr2q+3DPX8eYx/+Ed1QGf5Qfn+0BTB2fNfyJzJ1v8P+V\n",
       "rnns0Y7jOfKtMmnnboPcEqfgfgzhlIBb8BMzaxZ2FGE985nf4bd6vjjkelYrPOK78GWUit7s1dW3\n",
       "co+mO1sjMqpl5lCDg64PukYuWu08wW0J5Pg+hVr4NcNJXvoXYgO1EY4dP2TJBSybREVSeZZ4fhEZ\n",
       "v4pAieL6/SvxhLdE22F1JsWZofLWzQMDTZiAK6xpze6BVOEmmKpq7hDpHslT2XMOiczc3WSitUJD\n",
       "txpqYgMYmv1XICWxyF0wj6erawXnf6N793k5+eFTXL70hSYbnrGYnma5Gc3G4pCBiFb3goikOGAD\n",
       "cVuh5Kv0v99o4c1oitLztsrTAAABLkGelkUVLCv/BwfxPg2tqqT2b2ACdtpZtuI5fhWWyjKUN5oI\n",
       "ydb3PiDk8zLh1Z0iDcQvWlD6qiYn7JAatjAGtjcA5pHCg/CqBVLvzSPgvajXG40sLUP8T99hymgO\n",
       "l40JuXdgdoEeTT3awmOeXaF4t3OaQqKOKZD7WsJ91AkSGSjrLypXYf5rnOmgFMxPd/fhjwtwa7Y5\n",
       "nwYnXohjFeAHKpWRPYqrrlM5haPEY2zMLXWEtVavhDk/1uTEVzsZgWiipVfyKh9SVvM39tKS/8M2\n",
       "Wbmc9totGx7vIIr2dWkaCOI4MFJfZ6ZOb5m1Juq7tLWJyZFBqj/PIyR5hRY6itPSKMXPFo8Dlm+3\n",
       "u2bmDaQzi7i/3BGnYvl1Ahx6k1HeOJSIy3B+4ZFqIASKW1DJKbhAAAABegGetXRCfwkbL28QAP5s\n",
       "3pfdXzR+qmpw9svpnQ9ljkb0kpj8VcUdgdqHGs+cOlT/zdNDKQ1cXWUGEHp9OFinRbPTaPXmm/HQ\n",
       "Cx6qpxobLWX+q9HXJr/nl93TRtw2/X5j2oB1mr2oQzQn1CYdrIZljElaNRM8Ial1xBIQWdT/N5qc\n",
       "U/JhrXgfTL3q4UPy5P426oMfalWMZ3KgvjYcgZrG1Ianf/ixWASDH6kTHUzJnI4+JmESO0N72+Y4\n",
       "qlUK///2UMHfjZ42b/LbEX3BXGKiktVk3LJWWi5snnHXwH/gY8YAWnKLNrBm1yvSsabADvnP5Kvi\n",
       "C9eeBINKIbMDNiM5yY/SruvheEyx/CzyKxvWQ7pVgvjvSujgqYe1GV0jhit5eaGkJRoo15hp4ELH\n",
       "toD7aX1sCRn07/YS8TPKzz6Bp+53DPsYlZcQsAbuj3s9EK9MenQLgouqPA2AWF2VlGCMY7dtMFri\n",
       "snp7/784dNyxEUPxSj1QzcifcA0v9wAAAVoBnrdqQn8IbnWCBbv9kABrllCBTQqDudu0J68V7p/l\n",
       "3vSoEn4YrF3dqGFNB5Pcsg2JE/vzyiF0/R8GdkFoJbrGLB1GWxQNV5OIsE1NsDC4F440uusZ8zS1\n",
       "XoDEniOEtswQcczIj4cdJrjtWC+UTomLJkZuqttc7aPty6cLu0Rd8KlMOvlNcq4TsA0PcNcbCral\n",
       "qQvWHtRXIOzHkvJu+QQA8N9K+YGkMRim9t6Eb3YLsW4r6vDxAwpVDFHp3F4notGXCWy4UauwWkux\n",
       "3/zust1bWVdV8GEQkeAyVrKCCIZYkkhPoWF2K5Z7KV0wc0nlQlX9HLf/NfcWIKaOkwTvyHHGjKjh\n",
       "UqM7thqnuC5SPywS/SxREByy+lYVsp5W0hDLY4woiN4Umolgz4uHc/r4jc9HPandkixsGCpBBsED\n",
       "OxECl2vNZ1ozjNHskiyKo99waOploJN3tRiTKSGlAAABtUGavEmoQWyZTAhv//6nhXyPkBzE8GLA\n",
       "AWzGWfHiqv36WyXntnfZHOqwkRfZv/zxzNcdqCUi3n4KrK3I+BAdlUVV5NCskRGH0i8lHdgwG6Yf\n",
       "ky2e/bYjJ89GZ0EbgxQpow5E54f6sMTDnLoVMQTkhmTM95/Yo0llID0J+B92FB9wBHTtM2wL5lMV\n",
       "EmEjgp5W74K03AOL0sTTotg+KeNd4d+HWaRNYHIcEZ1+8Lvs0KMXfVkn48oSce5Jw+RLFXrDuqip\n",
       "87rMmoUzdm2p+gq4by+AEw+0QZdigXpl1DXs7kiQGNZXesaKB7Lw0P0Cs10HxDvyVFMtvWyM/aHi\n",
       "8VQTlHmWEUhtavdP2iSDnYo2NyGLcIX+1JmdnOcEMlpBcAorezri+rnfvOeRbe0WOkROfyCbFjXw\n",
       "h1LBzaNGmnjIOQn6zXlr/jPbHbqliRx5w1SdW1BJ/4WC6kbcFdowa32Mp1KOljwjcnuuyu1StFG1\n",
       "Jgs9jXqures+MCKdOG6w5EnUWR2ufneQIHw9s+kIvLVARebcVDXwv8/idWF65bY6psWNMYkaNUPx\n",
       "Dav7y1MypBIgsQRAh5kWAAAB1EGe2kUVLCv/B9GcABsYBAoEIixLlq2khcxXgWhM5SOANJXtPwnG\n",
       "dPTmEl5CIazMFG0B39UYhVDxVPqV087CJ0Da0HNZAFjqSnYipbVjIo0+hQEmX9AjHsyd6yer/P/U\n",
       "4LYwI21+LTD8F6fP2hprb1Nu8k0Y8tycSIp7gZRpDV4kN5VybXgnIxjP5tV7R/Bz6SIR7EEt1bAV\n",
       "TOqmN2raG6+pjpfzkNSIMHcN0JWF+0QIhi0mnR8jfTGh1r0PPmtRAnOmcgYQhaZtMWzDeqJPb+dd\n",
       "LfhCDAiGcMP5qDRhWrv5lq2DA99QkDBCgOHORWmpJ4lehewaM+iB0LV0HAn2BmtoAbScFzBAxIBI\n",
       "YPEZJR+zIPtYeLdzIm7QtTVjRhZfpozTuWlMlKfNwW5XQ/zs4rErKMQaf5tQnC5+ADrOU7Xn/zIM\n",
       "9NYarGYDaNL4OTRPnGrcK6K/e2vkzvune0Lh9AmNQKGyIgebJPk9z6Btd1pT/lRANShsO+aONHBN\n",
       "UzedOkwNViMqhAe+aXINb8LpQ423a0qPyT87MiGJYrWJ2miDpuFLVQCmIHRQjNLnlg2L4NVGcF7Z\n",
       "xPMsCpAAapiREVUaz36dwMJKm3icBAdX8zWXSyQ03QAAATsBnvl0Qn8JQrduLe4HOS8SgAH73Fgf\n",
       "pcwNPzaur6uQmESPi/faviRUOgToUJZ43D1PwEtR4Jmj0pEit24xz60qGIYsKZwNTFPGK0DZITpf\n",
       "wS7vPpCTEkScwXQwArgohRN9p/fnKy8OygOf3YH7QPWQS+s6GV68sv9PjZp2SKg58o44/Vu+CLOS\n",
       "e+yxvvPzuCRLV6QiVt/nmTP9hpSb9EkdScUDJsovOk6wQuHPJ67XG/KlBht3AizXt50FopUKbY9L\n",
       "lIahgAAAAwCfCvP2JXxG+Rq58AD51r/Kh/aGmMVIgABOp6AfCVtfunTbUZqCVQoATkC6L2SS3QWO\n",
       "MVrLnMxhswguFkZE+OKiMRoJGtNvw9glbM2+DfaD7sGas1B+01c3qwl1vBsXHQsObIOg/4heNqDe\n",
       "JNaAYeRVCCAAAAFpAZ77akJ/CTURi3/vgQy0EAE2jeF6OXyeHmCkklFlvDxcOhOp4OGjFCtrIvlL\n",
       "j7/l1fM/yr2hPAXZY/IORu+KQWP+tfH+M5b2kA7LviVud0sfUJ9zs868FOPv2I9FuyUMK6rf05iI\n",
       "+GASKIoB96v1R9jLvZNNH2d8geDrI9zDhEB3rPQrV0xJCq2IsVxlGdjAR1IINeFNbn8s0bEB8bQA\n",
       "iksu0b8nCf/ht5ynwCbwfemXLLUw0CL1ZyRWTcrAomlQUpKLK9sdsIZnqYahexcMRAdWvzToG3mu\n",
       "XO+hZhG30zRYZ7cb8zSDbTxH04bFPuX01P/ZZTX7C97lq0SmHZtnvRlf4hC4ruJ5lADHBi5UManJ\n",
       "HLaSHhIVSrtJVUdyp81f6er0E+dexXJRk3crZzhvJM7SXCb8Oxqe6OUXEm+IIBhkgsr8Uvvk1+ed\n",
       "2LPOVx3WlyBwHyb+/L8TUOcWn4OdsPjWPOWn4HotAwAAAYRBmuBJqEFsmUwIb//+p4V8YBHQylDv\n",
       "hABNvkaFa72XQ57yyNgUXj+DVCocpTeVAGRuv0FAvKjaheofPKElwRafIQ8azWEY5KPeY/jNngQu\n",
       "3JCrxMZYvqtuJPoqsLEyTFk2MeGRTMTI5kwB9CagHpbo5pKwcpsaIk07bimDQ6aHV/4LXuSpxzw7\n",
       "iMoSGT+jXK/YC5pYnjiZQOnGr6efcwKelHlsFq5RmmrQlgTLDFBGn8YN1l28YUDq5NcoK7J3fvEh\n",
       "jus3Nomr+A52NDGTclH6WGDHE4VsT7mc8IngV79PSm3ueHjnqCroOnelxl9mjeVdsR1m9UJLK8aI\n",
       "uBE6KEJcUp7RoftX6FJarR+vqkaj9/R8NX+9uekWqQfppA1upds3nblq7B/aEgQgEiYnp+leqYsu\n",
       "yXwem4Dm5+CCM+4oPuQRFeQSU+Gezbf1F7DiXt5izhj0N3TOWXQz34s0qVQS9JgU/RvUZKTEF/MM\n",
       "BhQnCfGyfzsvRDMGX2w7M+KoAOzwXBmBAAABC0GfHkUVLCv/B1tiUzABCZtNS2fc8rJWwhG/Vinn\n",
       "1OsYVW57O+XMMRWIJwILLBrZ/sK/V4HA7uXVdBAl5Q1XhSTcwiJ0OCcNE4BeObhgES0ZvljysxyA\n",
       "b7N3DtG5T52s9lGLKmAkRkd92x9D9ej2+g6Ndu80GFYoq/6924ZT51CDIn/86dip8Avvci6BSrL8\n",
       "3uXjJywYZoJsKTzQgcf9u3ooYOZ/Ghz7oXUcHvbF+6Fj30jlSZnvdsOXEkLQZxKKfsHAHHHhSK1w\n",
       "ljC3zZPiPL8vMn285OWa1cuMiRW5T7NwYXhKBA6qV+JbJq94yZ8J4DvPGUJ/xI3hKecrxsU7+mGK\n",
       "HSOg8lh8rZE/4wAAASoBnz10Qn8JQrbgdOlVIsmAANqFLJKMRK5NbszWkUogMWo6xZgDZd5G3CZU\n",
       "zruhPQDGnBk3d67bVBKG4IC2wYEPbNTtvkTSoFdqWdmZBPPTBYk4xeTqM+1FYHKKwxRM6PXINpnf\n",
       "qjnvKM+MPZl0G5zcIuhln8ss3Q5rE7pPtnGkn0Df9CCTCwSHEMQ3ZyDkpzryUvvKmoDpsFJzwGNm\n",
       "R3VdNIXmn7wQU7wOcKMUFWHEMAgFrpo37GnAY+PXOuSlUkSWnGmB9nqywZhHSgor7ZxQKiRMoyZ+\n",
       "2D+GF6IdIBNgAukdrOfs8Bo2pf6t3saEl4Zd8s5xAEneHD0dloYZXAaLHCIh7amQvZ8+fTCJr5Rr\n",
       "j7fXvFItzrnfPAyEOrTEzoAJADvSJeDOAz1wAAABTQGfP2pCfwk1Es6vvlYQKfhb46ABO2zaGwtd\n",
       "z+Oj5/4OSlvvzbChh/ojP6wBM+1mC0e8S4W94K1BieV7mCCTLiMeBYGa5vF3g7jJXNEfBhlDyGSY\n",
       "43ak+GR6NZxo2oH1eyOOGnA5dsSOaznvF2RY/74qbLCqJ1KatIvVYw8QGZg4uurbP0HvGssFE5JX\n",
       "iw2S6i3/D73I7185R0zB+k4au/H04T+qOgr0xRSDYRq1MMSG5Y98Qyy2vAMnhdn5bvAtu+IEz6eL\n",
       "CovHGhCIWOI27PaAAO15oXt0vxb4h8KNqIjHUAlO34ib503sU/pfOx7ViF7wvOQToUymoiiP0oum\n",
       "xETcPA53Q/+71/M/3KeVT6YkYYY6/FRojBhbEfF3Fq51dYg5bG5Icfm/raYuNNQCywJ00lOmtaUk\n",
       "sawwDQtLz4p+subISwOIj0+uqP5EUQAAAW9BmyRJqEFsmUwIZ//+nhRPt394STvOVAA/E0NuJjXI\n",
       "NlxDsCmYSRvG2ivBIjaOeP/kjfW7PkA4aR7tNjIjfcAvpmfpsqDs6bpcPtwuK8k5eAHv3E/C0H2P\n",
       "MbC/EweTiRPV3TYFNvJDBe3zykecwm1r1BD40osP+C1zBq4hGCw+MWpMtL3J5I/LofB72XDfuc21\n",
       "vqNc7PwOsJ+G9r86he7/+sDHj794iHSMR25pPXWS7nXoHB501VdoGZWG4JrzJO470HEr8l3U8t3S\n",
       "We9sru2Q87JSkDcko91ivWYweB4TbBicQy9Qmep2wMJplgFJPErBw5u01W48bFfocarxyVNQE4aG\n",
       "oJjp6VmyfhGxIdlrsP+etQWmCy4THIe9W5Ok+bFSVmHtMgSr4d9YF9wAZbVBGjKK2nx78cg7IgMn\n",
       "Yxl+kNYbn7hAdklkH0RjwzR5+R+mwV0hplAp/QrFF/fJDgbhP8D9HWcMLuEoUT2btpa/AAABg0Gf\n",
       "QkUVLCv/Bx6lBTluPsAE7bSzbbdzfkKS9tru1XFGSjoeHypDjOWQ+jYlSWPdgKAdTEpLTTgmHMZ+\n",
       "mwFhSMouOf5pGMcK3F/lyBJ1t1cVjlEdzWXHObN0nLlLSWdXZNeKarVpy9FpbTs0ROmX/5dt1GbP\n",
       "99+7zRkadD3dv8FmXFQeub5oowkHrvEfSw8hwgMn2AMpP067GsdCTMr9ko0ANKOTQjLBkZIxZaiX\n",
       "xIEAqSxtn5qEkZXWVS+qTDOz1s+kUN3lAf6sf19Qx72Xf8zTnSbRfXxt1nQ9mkZYHpG0GpKOgc8P\n",
       "IakF8e2uCPihSKMOzy/sJHcZLUJegSFEVn7NLv2yJOD62BDdVXJDXmau9tMvuwKed9WM17JQ7d/V\n",
       "pFqJwsaOwP+vtHZWu5sPRLw/xsZVz5JBpnEBNSXwLaYOJKyAhDZYr9+QD5mHL1I/6XXQYhu+Nypy\n",
       "fzWxYI85uZF49WghULDe8briXPxh1fPwa3+gKjXAhtvsWq9ufve343uVwQAAAWUBn2F0Qn8Ia67T\n",
       "zyAxQgAiBaQ6EmizvENNdwLVwkrMHP0q51+UVzEGOUGA10muBVEFBalWVdPANUmyf99OEVnAlnZS\n",
       "6iICEZ2f4PE2nBQoLlO12KAuihd3KEWTr/oZSLYVrUFfseXW5eW73SZ5+N/Y0etkm7/7s1hYEMQx\n",
       "QX3eiOhElRuv3NkOS2uC2lf7L4zw9WuK2uwBx0jwjE4pxV5yuHjKxLfWD02epN5fmr+fYC7+LfAT\n",
       "c/rUHDmSa3zQHieUuaJ/gHc2GTOq6ccIzKnCNYPwWKu6H4Q/lnhUOQ4+HT0BaKT0hUiGFszO5+I3\n",
       "KejeHrraf62HgUZT2JQBfY6DDOLGPvW3BAJ5Ofv1Lje6IDGURLQhskFZgleJjYGWChcfomCLaDl8\n",
       "7Wb99oWSxLSsPr5VTPoTJPNDb7X7weJSijK2XsNHhKwnDrHYibZllZg1vylAEaxpFDXNaBhV/j7u\n",
       "fd+F+sYAAAFNAZ9jakJ/CSHWgXwAmrZ/Ad3V561KEp27cKz5GlGoHOfYoTMFKQgeBc2xoDZhgyza\n",
       "mO30alp7Rrgo4V+CWkNOf7Cp9D2ZOcADO/0HAyz2If262yETjuTLVUYRm3jcoPxBKLa/Y9h49W92\n",
       "r47IkZfTgM9r53RBba0wOwSqaQdIvhaipzDOHdBTAWsdlohPS+JUnTGBe+inz/Aoy6qZecstntG7\n",
       "SQQFTwaizqs20UkRvms4ae/cR2Xsto/bPhhZ384yfaPnhy0lDXIcn7ZfCE10e9RqHXkfx/3J6sfc\n",
       "twF87nR0tz0J+OeYL7vdbxwf0t0SUrD1/Tz9LaLavgC5Kl+SVLdywNx6Fg7TyCieRhxU718YejGn\n",
       "rDUzX2jPFDJXg8uM7hWekCcWDFEuTRBmuLZdmis//yc8NSGX80W+ebHkV2+yG8vo/+1+oCi7DH2h\n",
       "AAABpkGbaEmoQWyZTAhP//3xJZBbxAA/mzemAvaX2OdJfn1v7HynLA6exWE64990fT6zVtBFkigZ\n",
       "sHNJLoXocrA60owTWC1lsbz6yadAL3aa1GHUXA3PcxHHFCiFapmJSseHvYZXaMI59qAcAnTZRrw0\n",
       "AsazXH1GWD41N5yRISqd9p4kV0fWJvnbgYpFJnjhl1E0UScsabJjU3cNdUBX6nOwrBBBbHmr6Wgw\n",
       "VG80mp3vjPDAoaTm54z8ZMTCz6peO5TW3dyztEOrzhIQ30+pNO/7oL9IgbLRPvJ40T3BKjkfpWgr\n",
       "Wxl09th+7M1t9wgphOuzoINrHC7dM65Z0t4l6LW9tAKGfVzHsKHHcVezWK2uaf+eGeoXWe4MJGpm\n",
       "fML/N33Y/4IY+8oPefrAPB3ND5Uqhvl7ZPkEjhhmKGHJZFQxOZnuWCUhyprwchFLQqK171SNDURl\n",
       "R1gA0nl9jWWhglM0QaCVBhn0OOruklk5QpMSxxzbTtKjAL6L1NCjklH9+v/qv+yhvG36V/jb2UX3\n",
       "7vhzLFI725aYyK0MhWVAG73eoz2RjImadIvpAAABdkGfhkUVLCv/B8HLouOGTGJAC3TzT0hXjFnb\n",
       "NbD3bxue7Dj84cw0QbT+zsK4y8f8Kq/vPMlfWgXAiqOA+MES53ggNBftY9YfDMtgQIDf4PBEYj5R\n",
       "06QIyS8MzkfrHGk8Xm1Z9Ry8+YsozPBeOO95H3xfZibU2JfydpUZwjrMU/wSpslvtv4gG2ba0Bfo\n",
       "79pJjji0Abdh21FuTqCJ+IYFv2evkbrJZF+wb/v89bbC8QwK8UZj95TOwHMxRfcmsVRqLTTh9KkO\n",
       "cv1DIdOFjonJRHS0MuN2f7qEqBxjxEfPRa31yB1USs1X+Hiav6CNNoWgAj1UNJ5IuaDk1OZcQ7Ty\n",
       "rqPlx+9E73ag5ZhMEhAEvyR7RKBVCrrrBZeVy1rkfKgQaPHe14GxkKyfJui3IhvOIJxfFgqXwPRz\n",
       "Lj6ukUwpfCLvuHUGlKqkuH3L6MhqzBUQsQzswZ5UQq5ovyTpoPy4VsdyRLC45iuwl+o6oi7mdaq+\n",
       "q+qgLVXFAAABbwGfpXRCfwhdcwC8thKmDMwAIgWkGnxz6hwToUv88qahbgHvwwElJ6rUgwlPU61y\n",
       "N0TeyuaOvXNGMFi3XejanILS8rTo86elv5bd/n+9QgetJENKQA33K9IdEE44q4q8GINRwZ3MRHwz\n",
       "M8o3yLfuCsx7wcIKT94dKtF2yZtPhA3JMCfWqpOVHR3+iEw6MFJBoS4rkqXol07FlGVgbUeKHWWe\n",
       "uiQ6d13YeQgwSwLodmYq+yaVLK74wR0+cpujuurusWh4pf6DemAcmpdtFwy1Ba+nwDGU6rzGPKZP\n",
       "7O/sifZHKW3MzfG6DQtYbjVP/u0Q+7ZbzV3iTU2Q4mCnY53+4lLDVl0IkIxugJkfg7ORSkuLXOOI\n",
       "Uz6c9PKvXiZxztGPJh6MYKa11EAvIYdpWrI6PtlyIkzdS4ne5fsivp09/82OgKJdEhnVbqOoFj3o\n",
       "noy37zGjdd/+XreUnEhOFi2PJgKGnih9vZhmuarBs9Vvy6kAAAGdAZ+nakJ/CT9gMP7u1OJcYAA/\n",
       "mtvrBr206P4zS0hWGjJ51ZwzJUjE87jJMqA2QcoJiilHkrkwJmQhEcRuT8tUgafb05RI6RLs6zuq\n",
       "+2KU25c3V0TivD+4EBvPvStBRQRgrJmrwEuJXnpMvLPxsX8k7JSzlIf+/qk5Nn1cz5OomvElybFv\n",
       "frqg/DnuXGZCrM0ehICsMhv97JeF5XXn4bMIFUXHSd+2skjA6p5Ox4auQJVMzldS7H6r4CfKL2x5\n",
       "vYIf/Za6Zj4DI/5WJZbI0ZMOjiJTYCwARJGW94KRnPdRwqoF9FNs5uguezG+FBxXZGdUb1xx6Xqm\n",
       "2uE/f4M2pDRFCcAAACnwk6nbbG5uPn34tLGdjpxHB/FZJcril/8TOch7GLgAZ8VR5/TOAgz9sRMw\n",
       "9dUJH7A1SBzzwbgy/xZUHdn1YFMNZ8HvlyUYgEQdhBwZ3AHlIkZe9jxqsRWY42+Nf07SItSSpyhi\n",
       "otXvqrZnTfPhLMq8rekg1kOd+NoYZ7WoJjPKheKHZ+8mi9eP0+LfFDB+skO1TgtC8tsijIAAAAxK\n",
       "bW9vdgAAAGxtdmhkAAAAAAAAAAAAAAAAAAAD6AAAG3sAAQAAAQAAAAAAAAAAAAAAAAEAAAAAAAAA\n",
       "AAAAAAAAAAABAAAAAAAAAAAAAAAAAABAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAgAA\n",
       "C3R0cmFrAAAAXHRraGQAAAADAAAAAAAAAAAAAAABAAAAAAAAG3sAAAAAAAAAAAAAAAAAAAAAAAEA\n",
       "AAAAAAAAAAAAAAAAAAABAAAAAAAAAAAAAAAAAABAAAAAASAAAADYAAAAAAAkZWR0cwAAABxlbHN0\n",
       "AAAAAAAAAAEAABt7AAADgAABAAAAAArsbWRpYQAAACBtZGhkAAAAAAAAAAAAAAAAAAAyAAABX8BV\n",
       "xAAAAAAALWhkbHIAAAAAAAAAAHZpZGUAAAAAAAAAAAAAAABWaWRlb0hhbmRsZXIAAAAKl21pbmYA\n",
       "AAAUdm1oZAAAAAEAAAAAAAAAAAAAACRkaW5mAAAAHGRyZWYAAAAAAAAAAQAAAAx1cmwgAAAAAQAA\n",
       "CldzdGJsAAAAs3N0c2QAAAAAAAAAAQAAAKNhdmMxAAAAAAAAAAEAAAAAAAAAAAAAAAAAAAAAASAA\n",
       "2ABIAAAASAAAAAAAAAABAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAGP//AAAAMWF2\n",
       "Y0MBZAAN/+EAGGdkAA2s2UEh35YQAAADAHAAABkA8UKZYAEABmjr48siwAAAABx1dWlka2hA8l8k\n",
       "T8W6OaUbzwMj8wAAAAAAAAAYc3R0cwAAAAAAAAABAAAAyQAAAcAAAAAUc3RzcwAAAAAAAAABAAAA\n",
       "AQAABghjdHRzAAAAAAAAAL8AAAABAAADgAAAAAEAAAcAAAAAAgAAAcAAAAABAAAIwAAAAAEAAAOA\n",
       "AAAAAQAAAAAAAAABAAABwAAAAAEAAAVAAAAAAQAAAcAAAAABAAAIwAAAAAEAAAOAAAAAAQAAAAAA\n",
       "AAABAAABwAAAAAEAAAjAAAAAAQAAA4AAAAABAAAAAAAAAAEAAAHAAAAAAQAABUAAAAABAAABwAAA\n",
       "AAEAAAjAAAAAAQAAA4AAAAABAAAAAAAAAAEAAAHAAAAAAQAACMAAAAABAAADgAAAAAEAAAAAAAAA\n",
       "AQAAAcAAAAABAAAIwAAAAAEAAAOAAAAAAQAAAAAAAAABAAABwAAAAAEAAAjAAAAAAQAAA4AAAAAB\n",
       "AAAAAAAAAAEAAAHAAAAAAQAABwAAAAACAAABwAAAAAEAAAjAAAAAAQAAA4AAAAABAAAAAAAAAAEA\n",
       "AAHAAAAAAQAACMAAAAABAAADgAAAAAEAAAAAAAAAAQAAAcAAAAABAAAIwAAAAAEAAAOAAAAAAQAA\n",
       "AAAAAAABAAABwAAAAAUAAAOAAAAAAQAACMAAAAABAAADgAAAAAEAAAAAAAAAAQAAAcAAAAABAAAI\n",
       "wAAAAAEAAAOAAAAAAQAAAAAAAAABAAABwAAAAAEAAAjAAAAAAQAAA4AAAAABAAAAAAAAAAEAAAHA\n",
       "AAAAAQAACMAAAAABAAADgAAAAAEAAAAAAAAAAQAAAcAAAAABAAAFQAAAAAEAAAHAAAAAAQAACMAA\n",
       "AAABAAADgAAAAAEAAAAAAAAAAQAAAcAAAAABAAAFQAAAAAEAAAHAAAAAAQAACMAAAAABAAADgAAA\n",
       "AAEAAAAAAAAAAQAAAcAAAAABAAADgAAAAAEAAAcAAAAAAgAAAcAAAAABAAADgAAAAAEAAAjAAAAA\n",
       "AQAAA4AAAAABAAAAAAAAAAEAAAHAAAAAAQAACMAAAAABAAADgAAAAAEAAAAAAAAAAQAAAcAAAAAB\n",
       "AAAIwAAAAAEAAAOAAAAAAQAAAAAAAAABAAABwAAAAAEAAAjAAAAAAQAAA4AAAAABAAAAAAAAAAEA\n",
       "AAHAAAAAAQAACMAAAAABAAADgAAAAAEAAAAAAAAAAQAAAcAAAAABAAAIwAAAAAEAAAOAAAAAAQAA\n",
       "AAAAAAABAAABwAAAAAEAAAVAAAAAAQAAAcAAAAABAAAFQAAAAAEAAAHAAAAAAQAACMAAAAABAAAD\n",
       "gAAAAAEAAAAAAAAAAQAAAcAAAAABAAAIwAAAAAEAAAOAAAAAAQAAAAAAAAABAAABwAAAAAEAAAjA\n",
       "AAAAAQAAA4AAAAABAAAAAAAAAAEAAAHAAAAAAQAABUAAAAABAAABwAAAAAEAAAOAAAAAAQAABUAA\n",
       "AAABAAABwAAAAAEAAAcAAAAAAgAAAcAAAAABAAADgAAAAAEAAAVAAAAAAQAAAcAAAAABAAAIwAAA\n",
       "AAEAAAOAAAAAAQAAAAAAAAABAAABwAAAAAEAAAVAAAAAAQAAAcAAAAABAAAIwAAAAAEAAAOAAAAA\n",
       "AQAAAAAAAAABAAABwAAAAAEAAAjAAAAAAQAAA4AAAAABAAAAAAAAAAEAAAHAAAAAAgAAA4AAAAAB\n",
       "AAAIwAAAAAEAAAOAAAAAAQAAAAAAAAABAAABwAAAAAEAAAjAAAAAAQAAA4AAAAABAAAAAAAAAAEA\n",
       "AAHAAAAAAQAACMAAAAABAAADgAAAAAEAAAAAAAAAAQAAAcAAAAABAAAFQAAAAAEAAAHAAAAAAQAA\n",
       "CMAAAAABAAADgAAAAAEAAAAAAAAAAQAAAcAAAAABAAAIwAAAAAEAAAOAAAAAAQAAAAAAAAABAAAB\n",
       "wAAAAAEAAAcAAAAAAgAAAcAAAAABAAAIwAAAAAEAAAOAAAAAAQAAAAAAAAABAAABwAAAAAEAAAjA\n",
       "AAAAAQAAA4AAAAABAAAAAAAAAAEAAAHAAAAAAQAACMAAAAABAAADgAAAAAEAAAAAAAAAAQAAAcAA\n",
       "AAABAAAIwAAAAAEAAAOAAAAAAQAAAAAAAAABAAABwAAAAAEAAAjAAAAAAQAAA4AAAAABAAAAAAAA\n",
       "AAEAAAHAAAAAHHN0c2MAAAAAAAAAAQAAAAEAAADJAAAAAQAAAzhzdHN6AAAAAAAAAAAAAADJAAAT\n",
       "6AAABXUAAAJ9AAAB1wAAA7kAAAOgAAAB7wAAAjQAAAO0AAADRQAAA7UAAANUAAACfQAAAk8AAAML\n",
       "AAADUgAAAn0AAAKGAAADaAAAApEAAAM9AAADQwAAAlkAAAM2AAADUwAAAzQAAAMKAAACkgAAAywA\n",
       "AAMrAAADCQAAArQAAAM0AAAC/QAAAvcAAAFGAAACwwAAAwIAAAFJAAACpgAAAq8AAAKrAAABwwAA\n",
       "ApQAAAJpAAACigAAAnkAAARaAAACWwAAAogAAALOAAAGQwAABwwAAAbwAAAFmQAABYwAAAUKAAAD\n",
       "MwAAA3QAAAO1AAAFLgAAA/0AAAMjAAACeAAAA/4AAAPWAAADTQAAAyoAAAMyAAAB3gAAAZ4AAAGQ\n",
       "AAACcQAAATwAAAHrAAABfAAAAYMAAAGTAAABtgAAAXAAAAH2AAACAgAAAaYAAAFsAAABUwAAAgkA\n",
       "AAGYAAABWwAAAzcAAAHyAAABBwAAATkAAAFHAAAB5gAAAXEAAAFmAAABfwAAAZgAAAFzAAABkAAA\n",
       "AVQAAAIsAAABmwAAAU8AAAFjAAACNQAAAWAAAAE4AAABfAAAAp8AAAGCAAABhgAAAWoAAAGoAAAB\n",
       "YwAAAkoAAAHIAAAB2AAAAXYAAAFuAAAA6AAAAckAAAF4AAABWQAAAZQAAAGdAAABXAAAAW8AAAFH\n",
       "AAABpwAAAaAAAAHKAAABiAAAAXsAAAEQAAABxwAAAU8AAAHDAAABeQAAAQMAAAITAAAA4AAAAVEA\n",
       "AAGKAAAB8wAAAZwAAAIZAAABRwAAAUMAAAHFAAACWQAAAWcAAAGGAAAAwwAAAagAAAHlAAABPgAA\n",
       "ATEAAAFCAAABVAAAAa0AAAF/AAABWAAAAZUAAAJUAAABcAAAAUcAAAFdAAABywAAAXkAAAHOAAAB\n",
       "MgAAASYAAAG5AAABngAAATsAAAFNAAABEQAAAYYAAAFgAAABkAAAAn8AAAEyAAABfgAAAV4AAAG5\n",
       "AAAB2AAAAT8AAAFtAAABiAAAAQ8AAAEuAAABUQAAAXMAAAGHAAABaQAAAVEAAAGqAAABegAAAXMA\n",
       "AAGhAAAAFHN0Y28AAAAAAAAAAQAAACwAAABidWR0YQAAAFptZXRhAAAAAAAAACFoZGxyAAAAAAAA\n",
       "AABtZGlyYXBwbAAAAAAAAAAAAAAAAC1pbHN0AAAAJal0b28AAAAdZGF0YQAAAAEAAAAATGF2ZjU3\n",
       "LjU2LjEwMQ==\n",
       "\">\n",
       "  Your browser does not support the video tag.\n",
       "</video>"
      ],
      "text/plain": [
       "<matplotlib.animation.ArtistAnimation at 0x1140f2160>"
      ]
     },
     "execution_count": 67,
     "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=\"197.957344pt\" version=\"1.1\" viewBox=\"0 0 278.745313 197.957344\" width=\"278.745313pt\" 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 0 197.957344 \n",
       "L 278.745313 197.957344 \n",
       "L 278.745313 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 44.845313 174.079219 \n",
       "L 268.045312 174.079219 \n",
       "L 268.045312 10.999219 \n",
       "L 44.845313 10.999219 \n",
       "z\n",
       "\" style=\"fill:#ffffff;\"/>\n",
       "   </g>\n",
       "   <g id=\"matplotlib.axis_1\">\n",
       "    <g id=\"xtick_1\">\n",
       "     <g id=\"line2d_1\">\n",
       "      <path clip-path=\"url(#p5d75c612b1)\" d=\"M 54.990767 174.079219 \n",
       "L 54.990767 10.999219 \n",
       "\" style=\"fill:none;stroke:#b0b0b0;stroke-linecap:square;stroke-width:0.8;\"/>\n",
       "     </g>\n",
       "     <g id=\"line2d_2\">\n",
       "      <defs>\n",
       "       <path d=\"M 0 0 \n",
       "L 0 3.5 \n",
       "\" id=\"m8f0953bb80\" style=\"stroke:#000000;stroke-width:0.8;\"/>\n",
       "      </defs>\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"54.990767\" xlink:href=\"#m8f0953bb80\" y=\"174.079219\"/>\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(47.039205 188.677656)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_3\">\n",
       "      <path clip-path=\"url(#p5d75c612b1)\" d=\"M 95.572585 174.079219 \n",
       "L 95.572585 10.999219 \n",
       "\" style=\"fill:none;stroke:#b0b0b0;stroke-linecap:square;stroke-width:0.8;\"/>\n",
       "     </g>\n",
       "     <g id=\"line2d_4\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"95.572585\" xlink:href=\"#m8f0953bb80\" y=\"174.079219\"/>\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(87.621023 188.677656)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_5\">\n",
       "      <path clip-path=\"url(#p5d75c612b1)\" d=\"M 136.154403 174.079219 \n",
       "L 136.154403 10.999219 \n",
       "\" style=\"fill:none;stroke:#b0b0b0;stroke-linecap:square;stroke-width:0.8;\"/>\n",
       "     </g>\n",
       "     <g id=\"line2d_6\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"136.154403\" xlink:href=\"#m8f0953bb80\" y=\"174.079219\"/>\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(128.202841 188.677656)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_7\">\n",
       "      <path clip-path=\"url(#p5d75c612b1)\" d=\"M 176.736222 174.079219 \n",
       "L 176.736222 10.999219 \n",
       "\" style=\"fill:none;stroke:#b0b0b0;stroke-linecap:square;stroke-width:0.8;\"/>\n",
       "     </g>\n",
       "     <g id=\"line2d_8\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"176.736222\" xlink:href=\"#m8f0953bb80\" y=\"174.079219\"/>\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(168.784659 188.677656)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_9\">\n",
       "      <path clip-path=\"url(#p5d75c612b1)\" d=\"M 217.31804 174.079219 \n",
       "L 217.31804 10.999219 \n",
       "\" style=\"fill:none;stroke:#b0b0b0;stroke-linecap:square;stroke-width:0.8;\"/>\n",
       "     </g>\n",
       "     <g id=\"line2d_10\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"217.31804\" xlink:href=\"#m8f0953bb80\" y=\"174.079219\"/>\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(209.366477 188.677656)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_11\">\n",
       "      <path clip-path=\"url(#p5d75c612b1)\" d=\"M 257.899858 174.079219 \n",
       "L 257.899858 10.999219 \n",
       "\" style=\"fill:none;stroke:#b0b0b0;stroke-linecap:square;stroke-width:0.8;\"/>\n",
       "     </g>\n",
       "     <g id=\"line2d_12\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"257.899858\" xlink:href=\"#m8f0953bb80\" y=\"174.079219\"/>\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(249.948295 188.677656)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_13\">\n",
       "      <path clip-path=\"url(#p5d75c612b1)\" d=\"M 44.845313 174.079219 \n",
       "L 268.045312 174.079219 \n",
       "\" style=\"fill:none;stroke:#b0b0b0;stroke-linecap:square;stroke-width:0.8;\"/>\n",
       "     </g>\n",
       "     <g id=\"line2d_14\">\n",
       "      <defs>\n",
       "       <path d=\"M 0 0 \n",
       "L -3.5 0 \n",
       "\" id=\"m841217625e\" style=\"stroke:#000000;stroke-width:0.8;\"/>\n",
       "      </defs>\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"44.845313\" xlink:href=\"#m841217625e\" y=\"174.079219\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_7\">\n",
       "      <!-- −1.00 -->\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(7.2 177.878438)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",
       "       <use x=\"242.822266\" xlink:href=\"#DejaVuSans-30\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_2\">\n",
       "     <g id=\"line2d_15\">\n",
       "      <path clip-path=\"url(#p5d75c612b1)\" d=\"M 44.845313 153.694219 \n",
       "L 268.045312 153.694219 \n",
       "\" style=\"fill:none;stroke:#b0b0b0;stroke-linecap:square;stroke-width:0.8;\"/>\n",
       "     </g>\n",
       "     <g id=\"line2d_16\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"44.845313\" xlink:href=\"#m841217625e\" y=\"153.694219\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_8\">\n",
       "      <!-- −0.75 -->\n",
       "      <defs>\n",
       "       <path d=\"M 8.203125 72.90625 \n",
       "L 55.078125 72.90625 \n",
       "L 55.078125 68.703125 \n",
       "L 28.609375 0 \n",
       "L 18.3125 0 \n",
       "L 43.21875 64.59375 \n",
       "L 8.203125 64.59375 \n",
       "z\n",
       "\" id=\"DejaVuSans-37\"/>\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(7.2 157.493437)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-37\"/>\n",
       "       <use x=\"242.822266\" xlink:href=\"#DejaVuSans-35\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_3\">\n",
       "     <g id=\"line2d_17\">\n",
       "      <path clip-path=\"url(#p5d75c612b1)\" d=\"M 44.845313 133.309219 \n",
       "L 268.045312 133.309219 \n",
       "\" style=\"fill:none;stroke:#b0b0b0;stroke-linecap:square;stroke-width:0.8;\"/>\n",
       "     </g>\n",
       "     <g id=\"line2d_18\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"44.845313\" xlink:href=\"#m841217625e\" y=\"133.309219\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_9\">\n",
       "      <!-- −0.50 -->\n",
       "      <g transform=\"translate(7.2 137.108438)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",
       "       <use x=\"242.822266\" xlink:href=\"#DejaVuSans-30\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_4\">\n",
       "     <g id=\"line2d_19\">\n",
       "      <path clip-path=\"url(#p5d75c612b1)\" d=\"M 44.845313 112.924219 \n",
       "L 268.045312 112.924219 \n",
       "\" style=\"fill:none;stroke:#b0b0b0;stroke-linecap:square;stroke-width:0.8;\"/>\n",
       "     </g>\n",
       "     <g id=\"line2d_20\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"44.845313\" xlink:href=\"#m841217625e\" y=\"112.924219\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_10\">\n",
       "      <!-- −0.25 -->\n",
       "      <g transform=\"translate(7.2 116.723438)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-32\"/>\n",
       "       <use x=\"242.822266\" xlink:href=\"#DejaVuSans-35\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_5\">\n",
       "     <g id=\"line2d_21\">\n",
       "      <path clip-path=\"url(#p5d75c612b1)\" d=\"M 44.845313 92.539219 \n",
       "L 268.045312 92.539219 \n",
       "\" style=\"fill:none;stroke:#b0b0b0;stroke-linecap:square;stroke-width:0.8;\"/>\n",
       "     </g>\n",
       "     <g id=\"line2d_22\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"44.845313\" xlink:href=\"#m841217625e\" y=\"92.539219\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_11\">\n",
       "      <!-- 0.00 -->\n",
       "      <g transform=\"translate(15.579688 96.338437)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",
       "       <use x=\"159.033203\" xlink:href=\"#DejaVuSans-30\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_6\">\n",
       "     <g id=\"line2d_23\">\n",
       "      <path clip-path=\"url(#p5d75c612b1)\" d=\"M 44.845313 72.154219 \n",
       "L 268.045312 72.154219 \n",
       "\" style=\"fill:none;stroke:#b0b0b0;stroke-linecap:square;stroke-width:0.8;\"/>\n",
       "     </g>\n",
       "     <g id=\"line2d_24\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"44.845313\" xlink:href=\"#m841217625e\" y=\"72.154219\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_12\">\n",
       "      <!-- 0.25 -->\n",
       "      <g transform=\"translate(15.579688 75.953437)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",
       "       <use x=\"159.033203\" xlink:href=\"#DejaVuSans-35\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_7\">\n",
       "     <g id=\"line2d_25\">\n",
       "      <path clip-path=\"url(#p5d75c612b1)\" d=\"M 44.845313 51.769219 \n",
       "L 268.045312 51.769219 \n",
       "\" style=\"fill:none;stroke:#b0b0b0;stroke-linecap:square;stroke-width:0.8;\"/>\n",
       "     </g>\n",
       "     <g id=\"line2d_26\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"44.845313\" xlink:href=\"#m841217625e\" y=\"51.769219\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_13\">\n",
       "      <!-- 0.50 -->\n",
       "      <g transform=\"translate(15.579688 55.568437)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",
       "       <use x=\"159.033203\" xlink:href=\"#DejaVuSans-30\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_8\">\n",
       "     <g id=\"line2d_27\">\n",
       "      <path clip-path=\"url(#p5d75c612b1)\" d=\"M 44.845313 31.384219 \n",
       "L 268.045312 31.384219 \n",
       "\" style=\"fill:none;stroke:#b0b0b0;stroke-linecap:square;stroke-width:0.8;\"/>\n",
       "     </g>\n",
       "     <g id=\"line2d_28\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"44.845313\" xlink:href=\"#m841217625e\" y=\"31.384219\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_14\">\n",
       "      <!-- 0.75 -->\n",
       "      <g transform=\"translate(15.579688 35.183437)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-37\"/>\n",
       "       <use x=\"159.033203\" xlink:href=\"#DejaVuSans-35\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_9\">\n",
       "     <g id=\"line2d_29\">\n",
       "      <path clip-path=\"url(#p5d75c612b1)\" d=\"M 44.845313 10.999219 \n",
       "L 268.045312 10.999219 \n",
       "\" style=\"fill:none;stroke:#b0b0b0;stroke-linecap:square;stroke-width:0.8;\"/>\n",
       "     </g>\n",
       "     <g id=\"line2d_30\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"44.845313\" xlink:href=\"#m841217625e\" y=\"10.999219\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_15\">\n",
       "      <!-- 1.00 -->\n",
       "      <g transform=\"translate(15.579688 14.798438)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",
       "       <use x=\"159.033203\" xlink:href=\"#DejaVuSans-30\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"line2d_31\">\n",
       "    <path clip-path=\"url(#p5d75c612b1)\" d=\"M 56.692408 -1 \n",
       "L 56.692408 198.957344 \n",
       "M 66.842763 198.957344 \n",
       "L 66.842763 -1 \n",
       "M 76.992804 -1 \n",
       "L 76.992804 198.957344 \n",
       "M 87.142074 198.957344 \n",
       "L 87.142074 -1 \n",
       "M 97.290227 -1 \n",
       "L 97.290227 198.957344 \n",
       "M 107.437052 198.957344 \n",
       "L 107.437052 -1 \n",
       "M 117.58247 -1 \n",
       "L 117.58247 198.957344 \n",
       "M 127.726527 198.957344 \n",
       "L 127.726527 -1 \n",
       "M 137.86937 -1 \n",
       "L 137.86937 198.957344 \n",
       "M 148.011231 198.957344 \n",
       "L 148.011231 -1 \n",
       "M 158.152418 -1 \n",
       "L 158.152418 198.957344 \n",
       "M 168.293291 198.957344 \n",
       "L 168.293291 -1 \n",
       "M 178.434254 -1 \n",
       "L 178.434254 198.957344 \n",
       "M 188.575731 198.957344 \n",
       "L 188.575731 -1 \n",
       "M 198.718129 -1 \n",
       "L 198.718129 198.957344 \n",
       "M 208.861795 198.957344 \n",
       "L 208.861795 -1 \n",
       "M 219.006966 -1 \n",
       "L 219.006966 198.957344 \n",
       "M 229.153721 198.957344 \n",
       "L 229.153721 -1 \n",
       "M 239.30195 -1 \n",
       "L 239.30195 198.957344 \n",
       "M 249.451357 198.957344 \n",
       "L 249.451357 -1 \n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-width:1.5;\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_3\">\n",
       "    <path d=\"M 44.845313 174.079219 \n",
       "L 44.845313 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 268.045312 174.079219 \n",
       "L 268.045312 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 44.845313 174.079219 \n",
       "L 268.045312 174.079219 \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 44.845313 10.999219 \n",
       "L 268.045312 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=\"p5d75c612b1\">\n",
       "   <rect height=\"163.08\" width=\"223.2\" x=\"44.845313\" y=\"10.999219\"/>\n",
       "  </clipPath>\n",
       " </defs>\n",
       "</svg>\n"
      ],
      "text/plain": [
       "<Figure size 288x216 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "ims = []\n",
    "fig = plt.figure(figsize=[4,3])\n",
    "plt.grid()\n",
    "\n",
    "i = 0\n",
    "for solution in sol:\n",
    "    if (i%10==0): # output frequency for frames  \n",
    "        im = plt.plot(x,solution,'k-',animated=True)\n",
    "        plt.ylim(-1,1)\n",
    "        ims.append(im)\n",
    "    i+=1\n",
    "ani = animation.ArtistAnimation(fig, ims, interval=35, blit=True,\n",
    "                                repeat_delay=1000)\n",
    "# ani.save('ftcs.mp4')   \n",
    "ani"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Forward in Time, Backward (Upwind) in Space (FTUS)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We have shown in class that the previous FTCS scheme is unconditionally unstable. Here we will implement the upwind scheme in space"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 69,
   "metadata": {},
   "outputs": [],
   "source": [
    "tend = 1.0 # s\n",
    "c = 1.0 # m/s - wave speed\n",
    "dt = dx/c  # run just at the CFL condition\n",
    "cfl = c*dt/dx\n",
    "\n",
    "sol = []\n",
    "sol.append(u0)\n",
    "\n",
    "t = 0.0\n",
    "while t < tend:\n",
    "    un = sol[-1]\n",
    "    unew = un.copy()\n",
    "    unew[1:-1] = un[1:-1] - cfl * (un[1:-1] - un[:-2])\n",
    "    unew[-1] = un[-1] - cfl*(un[-1] - un[-2]) # compute last point on the right using periodicity\n",
    "    unew[0] = unew[-1] # set periodic boundary on the left\n",
    "    sol.append(unew)\n",
    "    t += dt"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 72,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<video width=\"750\" height=\"600\" controls autoplay loop>\n",
       "  <source type=\"video/mp4\" src=\"data:video/mp4;base64,AAAAHGZ0eXBNNFYgAAACAGlzb21pc28yYXZjMQAAAAhmcmVlAAB4x21kYXQAAAKgBgX//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",
       "OSBxcHN0ZXA9NCBpcF9yYXRpbz0xLjQwIGFxPTE6MS4wMACAAAAjkmWIhAAz//727L4FNf2f0JcR\n",
       "LMXaSnA+KqSAgHc0wAAAAwAAAwAAAwAN5RxH0Qs9fh+AAAADAI0AHUBKKWmuL0fFzAATo2DcMKuS\n",
       "QCsJCpL4Tesj3UEpcJCUia3Z8aQVhAvj3Rz6OkMj2wPG6VGdlgAaP014B/8VZx4AI/vKAq2wS3fL\n",
       "SiJbUP2eIMp+JSUMaFGgzNMxdNjxxPAO6s4+KPPMxccoKNdGIik1YyQ6PeComIj5tasK1cHP9BxP\n",
       "JT5ORMxRzYtxK2eCTS9FSJmWNQd0N2G1sA5vqpVi8xGroXGrtbXyf1mbIJXEAXTCSkziTxKzb0Tk\n",
       "GlSZt2E9L/uL+nRgJjqAjdSsSYXut3sSXtPGPghH+XN30gXWStBipkjJLJMb0P6KGyEYmRw0vRKR\n",
       "11lkjdY2DFqkLhHctDwfwFCEvlD0LKX9dL4/UNGEQkvW5uSSikXzwElvhY9rDXE0b9o5fnJBCr00\n",
       "h9ES8BQGn0wjMAU0HP3q3dyML8LVV6xu3rELw59huiYNJdYBxECkT/pJE3ykwsbtXqTbspUGdCjS\n",
       "UbtYKUvWOkso/dVDSgZycVyE62JX3X6ZT1oYy3GFwwCtsjouaNy8KaYIv0Ft38T4YDQNnGf1QDYa\n",
       "/HEy9r3wjaohK3+/JGMfJBuaHDvhbEadUWsxlgB82ra/GGvUMBrxlYi20QWPxJImnkJkq+uHrBV+\n",
       "ZepE3bna1ETdvkPAdKi15s6I7QLXDOwqnr+1lxJG7QtGlpUVxBSiWVaxHkkKCy5bWkEtMaYpzjcn\n",
       "lr34/95aaY8UMjJ67/57lf/lfC1+vlCkRaAAb5og5Ddh2DcYnHMBweDi3vr2KEM8u21Whfu1bDpJ\n",
       "XKWYze2tJOFC1wt3iZBe4OEr2JbzDytV6EjVWTmLF2idnqERqiQNreygGhS5jVfe4OKoWzfGAXd8\n",
       "yhXc6+ztkF3ootStZ6Nsp1KSfdhHajBuEWmrZ2bLaOy5DTb6HAifP4bFiSrvUnRACHv5xaOkVieu\n",
       "37MiUlmegnYsDsnT1xdOKbY/YByjRBQnnRXzNZUSITYN4zQiN3m6KiXRDyx2ndRMp2Fmq3Vt95Nu\n",
       "1h1IFQ1gfsOh+WI5h/la0Wm6Fv95Hpqvu95JVDQRQLvZce6HFi2r/NQ6J4FWj0uRlNKQAlk89Ube\n",
       "RhXepGNgOFe9pqYl7NW94L+wzhJgoTflInpyiYkQiffHvSXLwOUjXWHF9BXdZmq914kJkXNFnghp\n",
       "RRVnE/H4lNAGIWDRr66vFNKOmW3OVrprdtjVqm9+NoIlDOT7Gx9cW8cP33Oo4695lwlxhNwZ38tN\n",
       "my59OrvCxSgGVTGQy8I9gXc2EVzTcqlA5pbkl6uVd/Hdb9rzV0O0OqQuH0qmVu+K5LDMM4Ezwebf\n",
       "L42S5th6LGTeEcDqdYeK6ss8SbwaQRghA/ZoBFJ2WCbCPcU/9i1lzO03wzVie9HnviQ7KBOYN4oI\n",
       "f2l6OFMUjqQeI7l1SwvWx4c/AgJGTFbGQIwbg891tAWxo2Y0Utn74/+U1zfVMefU+UOm2uTSoszD\n",
       "uBjE5thPQJoie4IrEfTaijcR4Z0QKOWZM1lnlxlMs50oGRGlXAd8Qy5WkPRKpkiWoblTFQkH15lW\n",
       "gpDGWPtFCGw43QXFgj5QnrnuQrXtuG1qRqbveUsaJ1td68QHQGTt2sNl4wN/iMgdLjXMI5LCBmlZ\n",
       "cCrdCVcez8xRz7GOFdl+hr570iFFyOdImQ33MgfPg7pb/Sl9ezH4kUDIqo8h05hGosbvGu4wLn3Q\n",
       "mYJ2rC67tfrusoYB1QFCTP6ttSBT75DhDlbK398Qvb+Bdd2Eem/udJrbCFmk5ORqegTpN7t8dSBa\n",
       "IGISb6Q3ev9PDytOr2tRE01QSluaHaNzunmqvZgbnI6utahy9L372GDuBMB8PQT7hF3XIo8hDcz3\n",
       "u6pBBVp5Ayx9OOsfHN+DxJCFakl7prQzo7NLE0gLBZmB65tGg+OSwfhld0rBN0eapIl7qr9oqMNI\n",
       "dHWK0VKr/juXG6Eanmk3WwdA+nQaRgM+5GHJKpfye8zDoBlFX8V1aSqeMTTtRU+gQqZ4NIXtd8NG\n",
       "3ugdp4gZFoC/C0ckO7sPL3DZI+GCKiicbCKNd637tch7J8KDtjd2wBKUlDhiTp7whG1tRGFV9zXH\n",
       "q/JtfPzQHLsUpaw6KJCp6J6Yydu3kqdmAll0kuOJkKzV0gOjwnDrB+7S3yDKB5M3uUWJdeQByYHZ\n",
       "RS468YeoRLWfB0yVZlCXy29JJZjJPbPibLneBNL5ZIGpMNQ/aQMKfy0J6y3XHPXsStPj45U6QLs0\n",
       "YcNy3beVV37H+T/DevMwzykqTx5y//SHWYBvXX1TaaHFXhG916MfKQl52tZXh4pSiK5+hixjFIEr\n",
       "RgXN7Hja6fXs3y2SRbTQAE6L1wMGOWgMmcMAy2vcOzRCw+XWiFZNP73VZ5kzIcx0hLpoKZH3tQCD\n",
       "ctCUP93kV3EHTMxQHcCc/c8jxQqZXvuPwxhg2FKvdM6pe92gM5EY6LNuvDo39NDKtmt3JokwBW/i\n",
       "gfo9V2YM9sE6aqVyeGiqe006Cnh0GhMbQi8w868/Lh/xOdoWlTa//FOe1LhlzzNR7K7GFZQQrg03\n",
       "j3WMaR8cfCZmnK/UsIkndV+UG+j6rFMZ6dQvagEGgzKlBxGxGfsZqGgYg7ZSnuYoBKT68nIvw6Qc\n",
       "ckJF16/Jb9hXSatBvmjdVJfsfFiiyT+6moaBH3OqYgny745C8AQkfYh3mJbztr5PZhBMPmjCJork\n",
       "f43Mt94HTt8/A6MK689KAv0gQYDIzn/lEQ7wNNXbhAdXHE0y5oIu7Ie4FtE0oEeUcytAkarr8Bfn\n",
       "65gU/+7DbMrnTWY0JXeK9gvsxJaoFrcA+TKl+9UvlyXglCteJyYfQFolzJBul2HX5SRltGmIFfij\n",
       "g4DMucoo6+T0ztmHPjTuXhEx8S1960lefWZjuzXz588csm+244urQEPyfzm19yJ1lF1DGemAZf67\n",
       "jjHVHacReHLahgFagYjlylhA01wKLXneLnojGrP0JHsmK4yshznWfHn3JGwSXH4z04JQWeTLn3Ir\n",
       "8EMJc3kSQy+aczUuSuwgbxFuPDAyKrMPtOIeST2+tJUlSmfv+X07Itmngauz4jrHEKYwvGnIxzgc\n",
       "oA9p7CUe4199fU1LU7T3RsZ0m8j62d8eJBTl5L1Kc6Bbh0CLcenb9I/VnqgC73zv758reopnyjvZ\n",
       "yYrSpA8oXUHQJ1QsRD7krglLo0bHnFvV8tJLPC4EsoOdru7RRQdLP2Eyl6DGcvZH6039PERS9nF4\n",
       "g7j14yktTluysIeKbWO7KwW635x3kdMtCOoxAD6YexAZcrVjhJz/xgYc2TE2j3jJ2dWlDYQUKmA1\n",
       "W2N/OaCfqk8blByAwfy5+ccmBAEPe2OvlsSrVItp/o9DWD2WSjQFtKPQcittIP7c/ZOCTae+n16c\n",
       "LqhMzkfDi89k9f18IAAj85ulR8feCiM2Qx89oU13R40FCCA4ENuLZks0mvql+6O9ywEaXafTgftR\n",
       "HZwXsmtgDeXefEV6MCS7FjAs9HuB4ZFoq6IkeyWq0zAlK6O/kZp5yDi7Od9k9SD8qRol7tRW+77t\n",
       "dHEoQdHxx2Aq5GwXkH0mqJeKjjwsrSsZm0fXqAKKOOoBb550pQBLf3SB+S4ct7gQZ7DIRsXRP7P4\n",
       "u1kFd9PrTcX0YvIiJ0FaqkUKNfKWuTLe37dkS8pfDceQsgAQJvB56I4xWel1EksHLqn3QZWetLmE\n",
       "YFf8PWrw0XpwIISacNjJprUn5ZtW+SSyZJ+Pr+6ojVNKIW8dzYTgejDitdn+ivw2if9+PcBwAIID\n",
       "xE3u2o3b/vzzSmuUZoZAyUkZdZpCx/ndckKfd19T9tGZhnCz6GWiKrKzQyZPIFZ/1RWh+Jttb8Sc\n",
       "0BQxIM0xO/hQlRftW0GhgmMQfxrZ/J//KEqG7QqeN2HVdMs0KZA2BCdhHqt4w2ot3MFlfVInPSdM\n",
       "AeonzJ6CiRhxngPMbApv7lopII5mrXW95xIm/tqfY3z4aWb4ania8Z18KisBAmeb5Wp19X79PGgF\n",
       "Kw5wM0zi5BjLdE1CQ0ppcFUGd8L0sF6Uk/DvGjathLHah51O8MqLo0JO7XtHvqwlEvWrv1u8nHXy\n",
       "/hTRW0LXrODsc26DInsdfx1Z7XmlgSU/76O0lh0zodK3VcRHAmhymDyUgTo/T/giL4gCw2JOQT0v\n",
       "80gE2mBfg6WcMaM2uGVFh8A49+SLTrKOflhtNczs24MPuOz0TbVKGIjJsxOKYH69YbEmUnqjFt2m\n",
       "bZVgQHIteFwA+YHKLKjupOb4TeQlLvPP+UaKFo+tKUPck8vvBMhT8cKCS/2pqBtUOLNRgA0CUliW\n",
       "BnXs88ci2q3FlT/Yb9H1A6Jji9GMb75vWhPc5UMxdua2MseKxTSq0b7QAA0XkKNVmncWIX5RA001\n",
       "4SWCwRxrUc9lsAyvXPlY98OyxDfeEsTrJbFu3J7haiOTkD+zOrZVv0D5Fiygb34D2xQni81ovtJe\n",
       "AhdkU9IjpfCkjcJOxpwhQFuMYgzjAV/qEDaMoy9p8wQhsdeaRExUET+1Xs9oqJX3f1HbufyDyKgA\n",
       "a+bzfs3OyvCN7x08LOUT8yTOPDjwpSAqdHMuwa3PohPrywtLh4gLJATJIzF6KK7JEGtjd2B1toxD\n",
       "YFpIcKIuuo2Clf6odLQVjDDHfvfHTPrUGHIg4R4MAnGVgUyy7JZ4NF+pps7Mv/5cBKjrjla5muZK\n",
       "tBz+SYHVf0NpLmbyJpF/yJmPEXyZMOd9wVX2YWdQEQ2AwNp9JCqMRTTsjD6FIH1W8pFq2oQ/nwqC\n",
       "6CqeXm7vnH3Ofy/q3+fVglutjZpmGh5vpVQghZPNaq2lREeD/77WnrgQIcBj3odViicWSZ8jvC52\n",
       "mv7ao7jFW7TOgo7783YST936ZuEviqFLO2IOMS3XAcHedN3qoF/NvsoSwwHyh4M4YBaApnbPLPF+\n",
       "AaNKUOFTKXKtc+dp4kmCLWibZSSf8OD1n1fwe02L+2JsP3/gcXO/hcrGqsdYPEjJOuXmzJxCdRqA\n",
       "0j2zaaMpEMpNtCPRT5HqEC9ZIK0jnrvITt3VzgyuVSUGpvixT7MP5nccmZIEBc/X0t4kW48RpPlB\n",
       "tgeScuJPW3FvS/bm9vm+OyvQyY0RAkIlbq9Rgi6oZkiaMZE/8iIqTDdRKlFAm/yg0I68yUVhwqmO\n",
       "b/lgHm+XYNqzqn4/h8bXXpxn+hVn9KOWSp/D5NIEP29OjmorNUUXKCzmAcBKZ/8s8Ht42Lb3jX54\n",
       "MCB2okOYl8ms1kTEHocWRHjyl4RXZBPsrSxTUAxvB8SMm9EDzhFMensi65x5QJ2vXWbXAA6oPmjN\n",
       "SiYUB9haRExIhGzjR2fHUyPbJhsYdaq69YZwzI4K6xEPlZ1Xf/xQ8oJeAkgpo+O1H90C96+lYhRb\n",
       "+BiECtypl2jOZBchbyjNlT6KvsM3PfdilOfFK48oLOh6doX9i8yQ3rwnl+VQkWGAmKZq8v1oiRT/\n",
       "o8UUSWBXK3RkcqobPedy0LI951TDnZ4VSSM2xtxywBvRRsxjwSmfblN4bkvaU9Zp1ZJgUS26L5xI\n",
       "nyVtzDRGQO133yilVnXx359iG4U54feawZpKVeid8ii31jj71U1gKXpjbF/wZVKOa37XiVILB5uL\n",
       "fBSm7Fbw2uDLCsdv7IW46eJCkVhppP//4u+KAACXJcA2fBUdthIHS3UTK9nhUw0El9DlgKHIhavv\n",
       "oxlOsAOrArdZFhWnvA25ZfW8ai/HrCyrNgayDGF2/fE/e44Mmw5MHbihe/2UC1k02Anjbo0pzkQN\n",
       "o2w7bgvkAUyF5SPy/CD1rmpYZzI8AIQ8PSOGv1X73XORkcurA4YiKAhxEhtF0JLKBho2B2zTJ4al\n",
       "qRla4ADSlqlPcS/9jFAUlSXGS8biJKqqCedulZ9fnXDkbJjQCCdTQB8YdSIuc15da6AZvN6f//YZ\n",
       "pN60U0zf7F4viLC8/phsweZPV73rjKjC07DiOCzmf+Jm7w+7OsmlQwEnzw/JTXfUpjRW5yR0i7pM\n",
       "ugZ2+9oJlU05vsS33DPWrHLFqN3Ss4fs+Wr20k+nl23xwpYmFu0ixzrp1k4cv1INh+GFDVXbZzkw\n",
       "QMmyqnPobIzI59lFt1+GYVpDLnqpCleMOyrL3RAZ2brYZvCuNePXP049UfWHRSU1/b/8ShjPSXN7\n",
       "tf8uvU0X7H0LPWcbxruMYr8r0o41GyKUOxO6sgjpAvKAldsZcC/bOIRSwUB9WKOArFU65QKnMLqA\n",
       "9oClX7XtZLPTLEDnAyEfeOPVu4zP3QoGBK/5yDIosj1J0EpVqFhCR2M/p9WcrnvjO84tGgMKqKtw\n",
       "Lt4nM/ROJ0nxBDXUh37pE6fgc/JSCbESy4ex798AwGUCH1xnmHGZIcawsTN924HCU7IWeh8ThhTg\n",
       "ZBoLyhVfB6sgW2f6QDL91VRmXf6v/l5uZjT/lzOD6Wqz4uOSgup9qXvM73xYxb2UqO3BNn4mcS/v\n",
       "5h+gXuGIE8xDxaeDGOV+0jzqkom3Csz/4J6QxIv4WxkXoI/uFIt/8gjHsxD+hYcP56Zpdi09S9sg\n",
       "nv8wib48OXgsVetAWyG8CH6qra11RfowpeCAPkwPN+Mq15Mno24gndM8Ze/1SZ9m2/IGMxjBaBor\n",
       "9TyHsYKFXzGxMuxfVAMIQdBZZLN5a5U9E5utC9Sjfio8NxaerF5owIwRh1ZrULyToZAfAOL09Avz\n",
       "cZgTyfTJOsvQevZojGnxSW1v6SZ8CdZgpwOmNgWMhlAsWAPjgMkil1fTQAAfzEzqHILyYYZqVPqV\n",
       "7lGOmAAaLPtl2rkIqPXAibwIEmvd9MXgnxQvOzXpuMrH8UIxgRcexxgfJBw0yQM2ohrLudh2MnVt\n",
       "hFADHrjXJo5yv1BDmGVzwZ6Vos1TbTro/Y0OiAk7M6hWUaNmvcZ+mKP3CRyFHlRWcy9eEkJvywLG\n",
       "7fT3YvmT6014ldqXMSsimIBOQhVPldz/EI9Mt38VDOdmSmIV6JrKOMGq/QYkKYI15R2la3kp9dMa\n",
       "cuIwNCCy1R60+Fl6ncQoRGxsxM1eL59+8lfHYejoQxvXipckF3CWbIPzBvn0j/1eimTYjLCT5bU2\n",
       "nHcCZTebO/7XaxLPd1JuOJVqlC9s4MY4jUepJDmW8Td8w+onuni4pR7R50cETsXvCSc3/t+3ERz+\n",
       "gukkOhoPiVOU2q17H9Jp6gPxQuiaJ2n2XkTw2BH9F96UM+TqMafHGV8NeE8mBN4pthA4drVKlf9c\n",
       "Xu8QG4I7CGeQGFieNOblPWH9p3+mAi4xuRLiBxXGjvjCS5RrdZkpfjlSrem4PsqsIADCCqlEiV+7\n",
       "aTeyhSxbVHVzhscKXKIVGRBmaZSW4t8/Cwpw/tlrdruFL1CaHQjIv4Abs7gLEvTArYj/of+8muIO\n",
       "5/uceA0xR3l9ohSmx7Fx8mbT4e6bZZ5dh4x6wIvgRztV8vVaZ3k3Z51ESOEqGmRV5Ij67bcqMN0M\n",
       "C7U3zP9Cyq34uVOq+xt66A31U7QDZJ5OnJnsuUMYEdopbWCEquQ8ZttY5Gts9D9jZ1TK8rNBG0nM\n",
       "XzNjS7tcto8No9JmtuAtO2tT//128cBZC3AEaP+TxUBftJr0UyU2bvhHNmUZ+t2zO6/f+DIWCpY8\n",
       "NO3GTKRg3WcsOuo/p9v0syB5LcFBJ+fkOYeX/jFhm97lldDWphL3JYbRfVL1qqJV/R4YQjqRRA5u\n",
       "vqXEunA0cYgYHmDNov5S8BXgSwvXAKiKW0HijarC4emVMlWs6GvwizVgBJtOcvWieUR5KPXebunZ\n",
       "X/lV19ywpmtiI18drS/yzaj2WHlSsx9U84mnc6kJ6QnZaqz8Cdo9sldbbZ9Dg2q14VFfDVEQPuTA\n",
       "ZwG4cJSSqTMhPRtcdb+wo/SeSfHKRKF8aUCk9t8yS5bBD+pVEm38JKtBnBx76l/CTmowYJVo4Whl\n",
       "xmHMZVOEDIUYFoiIDBxD406PBJwtbpDhhjX25OBMwXSFblXDkRt5UaZpuWJtvZSdpEDFxEN8J1wr\n",
       "X/LyAt2zk7l3pKUbnz9YR2qnhtP6RiN0p4uhX15aFZ89aP3e+v72uz3rUKFYsewh6696raALKzDM\n",
       "QBSZH//w+JjTLRsje8xQCPgfLcBvuaTrROH+AAAUf7vBSW+D7Jd7DTuXiTGEZJx9MKpzMpaHTgQO\n",
       "qrlXM4CmscytrhpaBr5ZW7MG6o0NZbm5RSdxQ/XZaaBeI8VPcMXEA+IAQ6QDhLczCSP53r7NS8th\n",
       "MTQuE0dXRbqF5H89lPQvWP7f9SqXJr9VFtEH38djq0BNYOp81BUhDhO0ldg+NwPGVfr/TCU/GvU2\n",
       "0CDSGkdHmt2qn6u5BopdYsr4tu1cYIH2p900aqcIzCCog37kV1jT40+LABNtwXaGZsO5XV1BhZh5\n",
       "JB35BafadLQwEi7b04op7HZsq8yAh4jsyDzIfsCU+n8KS+35xPlFxkHwKUemsK0RTEezQ14vOFfl\n",
       "ft+FWbNAKA9QAwMx8gYsQWh3D1cf6cU2I7TTI2G1l9tIiqegu0iMarwMNeDW4UTD5BU0o0uyHmSm\n",
       "Pp63z14F7XpY2tZECwGkSEHWTslZr1s8s78Wi9AJRwWBVRLwSVirRynWSpoE9qHZT/Paf4532e2p\n",
       "ae3ZuexYvmfNykqUaN4T1hiwd2nm780VMPYFIpidNyBuWjrsujEeZlL5UzdAZCFOhNNCjrEMjKNI\n",
       "TR7GDsL3uWcAx5zrrBwdOUBet6prsRnEtqQ9TtgEogMiEl5y7pOPCUAfV+Rum8dg8WjDqYfE2Qdk\n",
       "ZQGdRzVQbiEHUJvIX1HeQ+0bIWd35rUZGBVj87rZoFSbvb56IZo8N2Ho6o1UVV3cd2VJ6fnguGxf\n",
       "UZ0MPHmBhs7xK0EwTtRdBzx8KvGHbZwvOWgvvczEpHszB7wDficFoITPZOt9xZ1WUArg8DOm69rG\n",
       "lf89tUMA7QmqgPolrcEKRha7fnwvgvNi5vsMweaKyg0uoJ7BeB2zDFgI5791WqFpJ4JS6JOxFJUC\n",
       "Bair/4VFCFqTLIjjjRpOTOvGGuTGZJTnLFOMDxebDjNOenr4evuqzxY5GT62gGChy9sfIFBRtSto\n",
       "1yJ8vHK0ZIdn62bykAsDjf/ln3Fj4YGK641Kd7nJu4vPy5bRR8dUHaJxm69Ab9ls0GhfDVXK0UDZ\n",
       "feJEy44MiTStwKmqngygu1afDuZCFmPoa4meYjIaWw3I8+RK1oqXE6EIE3eRNUExFaxA9HhGhu9v\n",
       "uSkbPSwWMiA1/F4L5q863KnL5u6rEARYoCdiJ/8ycKFHinISWn7wXaMa9xUPVOCl+Hjo1gLhl/nf\n",
       "DTmpvi15ZkJOw6LK6oI8l7QeJ7vJXZZI/YdrWS09SVq6qjiPgSRqRTUWMx73O+jvotbzMakoU4Tl\n",
       "jCDtnJJ3lb5CB2XOW/TwNtNM6dnbqSHYSK+gocSCwbyl9TM8UETMT6DTFoS7gZxMikk3B/NFD44w\n",
       "dNC34mDbdz2QeMz9NJ/34OOs+sSa8RIG0EGbs/4sugZoC9r9V6EWOATNXMcQEkksJMzBf8sI3Wkj\n",
       "wM2uWLONbxUyoieNn6sgsDaYZ6nwuqcchK1ImvXhvHSx2BiSfcYt+bKEnoln+wzENR7J4AdNRKET\n",
       "qItvmL5Bm6WikNsQsPrRK4LRNJczKmyQrfzRY5ippcPejqpIOA9nt6FZNC4MtEYWs3JstgOg2/d7\n",
       "k/4XX/2i//tFLRzAkMVh5jh8rydfWf1/lYO/bEl/CTO0EN6o/Q06OwQtCzJ8AxQN52a9M87M1yo5\n",
       "Z2wtW/xoCJaN1wT+7OiRx61ZgizIUWsWT1Lu7Ai/s2kDmr0r9+nDjfHEQr6imcH8nKKPQgCqCRop\n",
       "txUuo7L4QTjQAp1DklCAqk5qybtjlPE3vnCcU7wKjeKcKw/ZQKLe43ynI1R5TJ3pT+Gi/C+Il8iD\n",
       "hi2ZFgHl5aCzB7UXH+IjfFN0YIhSc7QAcoAULeFXI8vhXp/cGdmqLAsEXQWy4kvCBl5CsqgLx4hh\n",
       "I2r3Ayy63w4g6UczhQ02i6kOmX8LmwPTA/zflKxWVK5a+wQSlJTqtN62iZbe2ldB03KpXBEHX9ie\n",
       "eLkh7CKt6JSDH3KwPQraOZhxBKmC+VI+1nG6B3lPB3sCu11k3peHe3cpeFD9dIp4Q4rrrnRT25Dc\n",
       "dhYYMzI6YDtcvTqo0wDfxQBrVhEyP529wi2R6CUfkYrLwZEZf5v2NMdO3vg8+J6JBMSyygzrsBPB\n",
       "YcLzpU2jmzT4uNOQo0PWNYFClY1e6Piry/mydi76/BiNp6qMedguMgWXcPGffTYJvW4DWetKwNmz\n",
       "LuwemscEQrOSWeH/1j6yimUDZsObh4aq2ghzk5z5YL9ayWfOmd8ACyfOWy8BAKH19hwNeeul+2nC\n",
       "W6h2XWgLHsnOt4WZ3ySzGk6TuvxULAR+aliZebwWtKBJ4fC3P+GaRFvdCmAZLm+Mt9sahlPGn9b/\n",
       "PO17W0RL0MVuYfdxM4eJsVjbznXRM+n21+b5DC3T6CWbibbA+uMOZC9Y0HpvlXVU4M1LgIQnQGiv\n",
       "LzsbPW7stNdTYMnpKmiIZORZXoAubaUgm38msl1cN/8CmI4o9Pguzy6vCYugLmIj/R1ShIx26dGX\n",
       "eqJNWdoL+/2qium8bT0+DuAu9gfpnr0xYZFgGzxkLnmIOn8ECgSzVT7AinE3XggW64uY/Id1JnNu\n",
       "k+JIdjIZwV/gY3bvuEWJQzUvhGzXXEM5JC45KgbhMuv8yxUWyD1Yk5B1ePduJ763eIaXo4lqQLKg\n",
       "KjtbsEGZRKghz0Fqx77IaJPC8sxzE0sXxjL/53TOkR6wFlvc6a151JGyr7De/bkDZwXMwz+p7vYr\n",
       "g96PFa29opUQ3knx07f1oWwownXaodv2lR5g6C8bpmnhgsJk+ZDJPrACwbkFi0cRz4VoOjmEyQNe\n",
       "Vi9kdOv55Ji8Ru+xrFBsUKKkFOYwEmLlWOsv93t9iJ5W/e5Ob1BmBRyCKAqJGk8gSAAC0L4qJFye\n",
       "REc3pwC2pfkajTXVcwnCexcNDUko0uNBt3nlQRK5TSpeHLqWgTCblRj7CD4/ujFy9QzAgJ0VD1AY\n",
       "gLAw981q3xMZuibAQq7e/Hc/PGlil1B7TmsJMHu3vx6RCcOldIrhxuWi1k+6PsVPgfTXrKwnaMbO\n",
       "nQajyROIUeaMZDbGfuzK3LxW4hIvzPEw6jRLCEck5z9nv10nuqiDxTf+DPY0JOg7i2IkRFGwOPSu\n",
       "yTQM6j5nm4T219ZAz3L9FelaIX3lT9l/Mme+tVxFR9FWCpFMCWwRy3UJR1evjZ8Kue5U8q7nAesE\n",
       "3AOvBN0lnvIP2Eo8zYelhRByuDz5brpP+aFJEFNRActLZ8wDVT9mhmMcmTJxWWtGO3RQAvoT5T/J\n",
       "y1qNXlMeSuBN/MpSnWdsbo1Bvkbmxo5c0ufCWgwUkteRM2+ZWAbUIEtMe+FqFdrhrFvXus9U4wD0\n",
       "grbMD9yDFSwpK5DxJDD/i072rIsTmGdtHQh0xH4cPnwt9Q9sKHvMwvSbYkGC8e/QSblonLbVN362\n",
       "pE27Uy9owA2qPWKExYt9fmLN1wB0FOdBIMCSRfO1C2Uujei7T6mdSb7II5kceuSd7v+6LAERAG00\n",
       "0VVvW3jB2jumKMBMirdeEYOANznt4EVRUQaa0JajkNL2YBjzHaHJQ2NMSGU/SnVc74qwMtUiD3ne\n",
       "4ea3VOfSHSTanqDjU/Ws1dXkucKyjsbWpir6JaV0AfL6RuSDckxlqnowKc8YQVGMR0X9KxFc+5H7\n",
       "NvPWtWhr+i24OcT1cGlc5FIpkjyKcQHMS8GXKBmfKnZXV+5/fx89JqWnQ1tZYEyRyMVklOgN5MXv\n",
       "cDGlCmOtOTx+4W23X6X777GAehi1Nbu+j7lhSaBvhsJjiRxGlpVPRwhjk3IU/A73zaOnkPa1r6YH\n",
       "Nbr+mnBEnjMa6j/R80Fjan1SkYWUaAkChaPkuFzKnjd+5+wvESdp5MjcKTpOuFMEnzi4nKLiDQFQ\n",
       "t4V7gsZVh6irsMbaLosnNJoCyX9xegor+G1khFfRqfmNnVY4dThGldaXteiFQIn/pBP3LJaWsAeT\n",
       "4c0BQBhbqMJ3cwCPfTPa3nkirB2gg5L1lVUKql+VZprirvaypc17Hr/Mnr8D5dnHROSvJLVb8xWu\n",
       "mLJZuttl//faRAIrpQApoUAAAAMAAAMAnIEAAAt9QZoibEM//p4QADX24wALDvsi8/c3iroFCAjl\n",
       "sKw0/EOXPPR6rTnnnyAL6pYfdZSbaV4nzHXDaH3WOfkPa8jORIjkdFGsd8sKnE8zW/eTxLcs4iZh\n",
       "XGsWcMy6dB2eZ7zXP4qBUhximhRhLGiBdr21WGruQgaBBtgl//NpYbf2KCs3RY9IRIItIh7rVMGt\n",
       "P7Y4EBOmFK20SAVoDKMVPeZL5v87RIDikxRLyImpZQsNnkBwu6ZjNZn4xCedpcKFtzZ40Evzy2lP\n",
       "niUt/uNrDEsU1DHLZx/h+uDk5L4s5g1R+++Xy7Lj9N9ACkpgYAyMpQX1LMK42cS/6fTIXQyfS5L2\n",
       "ZJZETXwLrIMFXHXYu7BvQIxy7Wr7nOQwGuW5Gek4WEDIXNJPfIksrdYScsztU1Tno9HuaEyy0Nn8\n",
       "smKUCJi48slhzaMWHwXGCpFbt98av3m6aOt9JgwIy4mGrPo51AAtBJ2AVqbK6OjwjE3MhfvIn6/I\n",
       "odhyqlGWtXVP/r9v+UQTqh9YoFJmyB9NqyrDCYDY+orl25oyS4PbkNCojsLJZwuhVzE1e7tL2MyE\n",
       "k7USote821O11KNR8ChMmPPWuMue7KBX+lplIY55wPBfIpNM0dGYxxVRm4gSvBQQ2ORDsY2xecj8\n",
       "2m/IwEtNRBgk9gEeO6fpuq6HOllbtXMBsUlpg/8N4h4bScjNeSshIHjCb3OA82fL3Dr4gDp/I6Bw\n",
       "mb6clE+Isyfm+iN98lM6NbZ9PNGl4W9RE7hry3AMZjMUTzMmhWLCjOx1xOxdmM4x4Ubv1rXgEBqe\n",
       "w8HXv3NmMnmAIWYXU6kS5ES+AOAanZbNDUwxcYoQasY/iwRdAvK3kesTW+OqORzWej7ggsg7eSg2\n",
       "E8i86aGAzK21rNomZ/eoM08Sbp8kWNYIdtwLALvJzMBPxmtez5epynhz524ZwsSm+rwC+lawiAzT\n",
       "O0j8SvtoNsNOF6Kg9GbuOnNYuTY5yffPCN2v75HvrsYSxSk3huuczNwaRrqPQnfF6kHByCkErv+V\n",
       "nrJa/27HUwpysU9TxiBvOio2la7Uha4qjjQHvr72p7ZEBecw2ev3agr2zHWggbnSihKvg30bFe//\n",
       "Oze+VnUAXn16w7Raq/4DA+2rh+Jk3eOT1vDGihdsh0nc0EYuRxxHelraxf1zkHCL4QPekxagbQgB\n",
       "rhRbg7f5zJlC5VFXfJQMtnx7XzWSdUaYWvmZxA4oHVZdl8uIElfHZ57imLLKqtogLCyohsnF8UZ0\n",
       "av4mxaBwdPjiLvQgT0zPrmaMaL2GBJXFtpNsVcmDQ8vMXWkPx3qoVR91M17Yz7C8db6Z6jzdwy9t\n",
       "9zX9LGVxlLOES6pwU65kGgzBgN9H/+XGPGDCBNGkDf4PMSG7Ws3ZOhyM+x/OWkomeCCT7Tb1sakY\n",
       "qhNJ5k8NPHyKFn6Ufr7xeW038y/DQ8fU/YDLFEnmzB3Y3JT/sk/EjOoqFbIu9h84QvrN6nYT/wYB\n",
       "RusdH+h/HioG4rq5/eVrD3Qhy7OW5KWKpYpBvBNoPHbYtMG8mGcWfFr+Fg9Uh5a90PUqY9DIcZZm\n",
       "QXrzyV5/zQ+SA5cR4Aa2Iu6ssrZW5WFToTlz4M6deV53ySY7qhFonW17V16MfgeSIPlfk05fVfca\n",
       "fKJZdqim/5N98urUyVPHZyZh/iqwaGrvgWREw3gDDxYaMbIx031wrd07LYqCROb3pPYWVrDlC1v/\n",
       "8yDbBt+CjOl5a1ZolpnkoOD/MkOi+uT8ei2Y4igImU3rPgAshAD1T9pgppocHGw2iEaefw1GEQay\n",
       "Sx996+HEeVrMo9jtX8uPzbLp6AMgqOJ+GRyUa0cVpbmYbntTxG/Th9YT70pG59qHzEviw0iGkSKp\n",
       "oTWd3YWBVhOleS3j+TTdBsnJx7UUY+/u+nsahUFVUgAHEydRe5DLJS0aywy//WAfYDs+rCvfRt+B\n",
       "LLWGZLf6TG7Mi9U6JRk1iovm4yqy1EzJK844Qsf+HM/G2pVfDy8NzdRzfBEytE1lVeskgoYErEdZ\n",
       "L0auAkjeAaTb2xw+m/cF4oOgo3avrHBzt5WbGMWUZE+Olc5OtDcCgmzYyHsbMwqZqOMDkj3VjTPY\n",
       "EfikzW4gcrjQL5ekK2fVs1NrLMfWBvOdLsn4EIBJkDUozqyeiv3o843uC5duBfILjOUtnyP9+08f\n",
       "K28qeWoF/zGbAwKBxwImtUrT9NQsat5kaSGxC0YQTJAnaMZKUVwEzyUVpJB+sBip3LHR46/YMnJG\n",
       "aSFb76vcnLPQp5k2+B/6VtG8gmwTipmqt+MoBx6oj1U5qPuS66vX9ZoKTZ1nGsNGwNqdjWuuNoIv\n",
       "WRVZq5N82N63Gr74zjC6BBVZTXbl/LkkUoqGdn9ZrvG9qXhrVO4Q9HN4nvkkgSheN0qcgHqZLSKw\n",
       "JHa4okelLvhQTRqA/LfqygV4t16adNp5hKsHJIgV3mboC9EGJN8EGX8Lo1ZBsr/1J8+hukJyvYMR\n",
       "0SnzxjBuNAm1HPEZ7aYQ/pxcTySfwDT0fat6ysiFdz1mGaRD+x0gZU2vSQyG4OhK5rpc0p9qzD0/\n",
       "T0uJmla6PpAQ+BNA69qveaf8/SOZrhr/CQ5qDHZtUS6nlQ/+uQHXDuLRHvnopPETFoe3BjTGZ9uP\n",
       "UTfPs+lFFXIhJAgZsK+FATosmie1f9C41+P4AyBLFnI47gukWXZRi5XNaQQgeC7O1f2EtLhZBIjA\n",
       "N9Ue8PhQyN2ywaQHuyfiVN/puc5Bwe2HOvX2vQtdkqxxnxFKzBRSF9DuaEy6LEAx9jan6+V6jaO4\n",
       "69phxGAziB7Ur8m4Ca0ZigOWzJftzPWJ95Aceeam6CsoFM4Jl3E7qLkwavjs6/aFpjKwt0z9+ai+\n",
       "RhINRVjRA8iGd2yTsCc25oZ0l5wMh9Zn0WdplAT3wwkOpIn4s9fo1U8lMO+EnWBqCKewca2C5Ri1\n",
       "TDrTidQ775BpctI9sf8qW/Y3IgthecZ7qzKDPsolMCFF3Hyl7SfOg1Z9OiQYmNFH8cruHdtXC03Y\n",
       "ZDUdJLXlZgKg8NChSq/tk6UozcsaJARVqIDaTz1+uQNWYtMGZ4fzI5OjQ+Mhu5EeVI9uuIuZWNMp\n",
       "8xxXhn9t+NSB/GUuQfkaHTw4KfUQpk/1Q0hy4Mp4EtTJW1tvGxCsbqDenygYrUq7/Xf2c726utVq\n",
       "cLbnn26EXGf5Qui8ikNiu4CKhV0BD6Td5gbabMOBF8Ul37MDBVg+nncEymldsSYZC4tYG5Vt7kLf\n",
       "ZP96f6TWvbmMSQC/7SzE1NhNSQLs7f0bmOFFzZnvhnJwr35UxZulu6Qw1QCvuOSCTDtzVTSnZLaS\n",
       "tEubQ9aqIvDoR/uvgXw89+BXbkjfG9gbPYkoErgs1TDcj7uccPx4+csvIXR/BkiozeyLbt1mn2fS\n",
       "xu97Emp4XzzBwBBp+N2uWa2+YjvwKUhaNvbR7BW3CsAf6okw4BnX2sysRxUZuXUXICJZ7uAXMKmo\n",
       "pVS5xPOz9l+gouOrK6lythj815nE8F93ZAs9NkJrghDVnBHX4UgENiPlZDoCp4Afzlclee1nhE7W\n",
       "xKi9Aqhu0Ky6MNNDkbg4HJzFdxy+KLEZiqd5WprsclJZ7uuqwSP+PktdNt8+rxafgExhd2fQobFx\n",
       "poajjz0ICeZ0VuS9wcp7n2agk/AiRrLVS7qikjShQSYnII6jMqS93kGsSHcle4J2y17iVZ3qScIt\n",
       "Ru76S283bJuZ0Wu05qBicKq6hC2JpXvGoPeupaU3For+ksZN+NUug+0umA5GOQJoNOzH6sEx5L6j\n",
       "sDbgwa6mcJ2upbrAW0M5rajyoOaC3NEhO6JLuolpfkFGizq3memkRH0Q1vnF3eQnstMyFAdvkHWP\n",
       "Z6+f20g0mvRUViGNmGc3Ri7+C5ElWwb2zTw/K+NSR8JTz9q2bAF/7ijxLkADToHcoW8DVphq3XJS\n",
       "HmJu59dRrAAAAxoBnkF5Cf8ADoBSZwANQAhTyv2ril6GyBhItgRf79AX9v4JGLxQy5KdqDZ5ogHa\n",
       "8MzOHScF0wOdWmrR/+Jvi5zuv/ejBg2X6/zWE9CHUaF3HUs0CzXVYjlaNp94RBNk5kYC0dqsYfR5\n",
       "b7gne4aBmPF41aMapBIWPLnRLaiZDagMiw4tfWXvqhKNfWvoGp6MVfIVzQrNN7Zt1YWWXJcsi/mX\n",
       "/QGUI8F54AHmeiBzMPGQq4YCnGcBDZkgdWCmfhvDVY8EyIIDQGMIsTxAy2wvTfOiZP3itHgPmu1r\n",
       "EF5/zPN/9usp9IIblKO0HBBxoFicdmbC7GzvH5GA3z6JGnyxcFXKO7tdidqm1dGABwFnTuQcRWYv\n",
       "qCt8hfuJ9xeR7tsPN6rCNk94tMO15SdxMfrmR/v0Ij5sByuHCoKLeoRfmkDcYyEPJ55IAHUJk0i8\n",
       "eR2eLhUl2NYCnOTJBsD9XzT7eokv88O16PWcHwZsG4FDBv6Va7NPzte9t+Dm0ZURlU0Z1Z93QRpw\n",
       "4RAL2cB5LctQUgZMhL/hAXggQucRTSvhu+prBuuKVdG6igSahQrinJQX2f7ixwau7KYF9KHaTYmu\n",
       "8zMx2/T26e6lVrH1KwlxxWUKyaZ4lcMuSvV+Q+IPmF7wqIpcrfe9Z//ahIeSCTqulQFQIJeRC50c\n",
       "aCAsmvBzD49EQMudHhIm06vrrx6N7F2N903vqMrNbtGVQjNmTPsVmxh4eXn58NA60eXWmAUkRM1v\n",
       "X/K4ccsS/v1gF5jXfQ66vpbY7KUUU1b5KYYTGJiCkXFdZcbt1Czd3dSqsCYRlrXF27kp5uQBXPQI\n",
       "jYVoyt72OGAq+y5MmfBYYzvjhoSKPqrlSo85yKsH1aVtHxKkq1SZI4zBRyJmVdSUY/a/qmpTp0TM\n",
       "nImR61UoZmbCkx9RQP+p/sTsAw2LkIVYU01r0wZU07C6cn9LUAd0889FLOql2bZcX9fkOfMwsSSN\n",
       "fUzThiJCb2SKC4Qjy2K3cgnROv97UeoQ8C7ep6NOXUorBI+rykbgNcq0EUwPkO9asgCvt4sMjWVi\n",
       "zgBXWIHmzQAABSVBmkM8IZMphDP//p4QACbfPZCmmmoKiWxf8IAQEPybLHi5EpEhuxRzy9R1Ng8N\n",
       "danwj5JRtJKompbSOwjMY9LbR40muvxixVe82HKgFE0BqGs2csvzqiEeuQXFp2fae9So3QXth0vK\n",
       "gIyg1aRv7js7vbE8YFSuMIrEnxhx6WnQXKcdSNgG3ZI219pg01fPi4N/xP15XzMy7hVo+f2QNhc3\n",
       "MLlENH2CS/GfM5zeqvMRZdWrvKoGXuUUbxe25hl/7xAydoekvVV6Np4W1AWYamEVUIkGgOiOe5La\n",
       "uLYurRmkMlF7JdAtpW2sYbkl0FIoLPaWk+j4ELd3eWN6Ko1lcgybKyhH/1xsK2DNVCOFJQfPWhbL\n",
       "hMytOP1o1ZP6UpW2W7PEYMW4lg3Rdhh7ftDBKBW1lmV//Kj7Rg8w6ju9pJra7nPSEf1WFLPLXXi4\n",
       "mdX5dnXYSzCp+vu1vhOn6hJkP5+DenfJOUhBWZ31UMwFGaXytokS62vUDjJKi5egatQfDpkW+ies\n",
       "aA5M6FXO5hYJhALlCXoUN2/2jJ7l9PDFNGxo9MePnnTlcdR6m1WYXZDACTQEuGbcrGJhX9L7fADy\n",
       "Q9sYEk0OueqjfwkRB/dAGd+NyNwGt6D5ugRo2gtt93+tF9sSgP8t9magGOA40PxDU0Pmuk/II63e\n",
       "n1nuCIQn/iYznKs4CtRDop0+O1RQQLZU78lM+1FXEyhrVYYjahVALt1F4FJ/I4PJG1mB6e3LJ4BE\n",
       "AIh2SQb2vX+fkXXEZiNI5rt0aX8WpNDg3aYMXFFrF3FrYSC3uCiJLBMFLJeDkHP+Tfynh3OjdEX4\n",
       "cZOwTubadOIlDTieaoHFf4i6oZ8HtyDVupRAQpiD/OrljlcWzaIf7V7HwgGrs2SyKo6M6x1lyZVn\n",
       "gQEtSQpUJE70PZRTpnzqV5LQyuE1VWjHYrx1MfWDzYXvLq94UqWoP5wzXoVmXaX8bn1e8zVcLC16\n",
       "ODmY3cQ1F84n+wEhT6e982B2ndZF8y+h8YNnFwOon3bcusOu2R6tLH05S/aNojuizbPCVYXyG5Bc\n",
       "FadWPQJidNLMD74h+pPY6JUBuDFJcmwB+imsZwZ+MY50r0U0cQYZT7VJxE5f4Qk4gbgtnadK2mXr\n",
       "WjNvqfmN7IG8ORnhu+LeJRQQvTWGu2uobDD2jaOgXteb+8XurpWUgVrfNHz3l0tOTjFReNFXbJVC\n",
       "NTen0cVc6Xi3nG3MRhqLTAC9K5jgFRp3TuWxVsC/ENbdjtcxIbUzBRk2upaB8lnbibFZhx2ay7CZ\n",
       "E/vE12BIgvjLE3YgTU6Hh0zdBHe9lUBcL6ef4t2s5iSpbDJ4csnQ+7Rwg+zEm504JvF4yRvnug1F\n",
       "vXk3UfVAFLzxg4OhTdPRLgQpvCh3PGsEeit78rt01nBg5hNAPlZEP9iTBn5CwuoE7KR8vsYL8EkF\n",
       "JeZeZIXar1LglC+EjKDNSlqzhpivwXKvdQtuCoUI92L13HW/exhop6oj3if9XfOhYDZIdgtzRjPL\n",
       "eT/YkBFtna8mom8MFaJsTdU4J+Xcx9XVuSBPNjJjLTiiJTfNV9oGqDr0jJf1tk6WagNKvrU2cAtY\n",
       "yPSVZb+/UGtBd5KUrX6hChQ1/QH7YNE3NsqrXjXgQuIR2dcYmV64Obz4TQZoDonJ6YEpynUem1tf\n",
       "UqF7cJgQ7BtvEgW8UZXx1KvJXtoFKePInsMxO0Y1ZpAxstprnI8HuXf7fFAXjGeHIq8eeF66EMxx\n",
       "m23rEduufeUjyUS2mbdmG4AAAAL+QZpkSeEPJlMCGf/+nhAAJKqGrAeIdtACasqWBNceH+DKHGZG\n",
       "HoEx77pcL+8ejtTBYe28pkZR41UmM2VB9RC53QUnfenoCZE/5IiD6wdeWU8R1sl/1AdS/w0sXAxq\n",
       "bPqYOOdPI3+ALD5l7K5LoPPKU3ANpVOkqBxLetTPyu4oYUfTXreAddHiNBic/6SJbBQ5jcLxwqmp\n",
       "ZmDWthAjkpqB8iTYW5O8Dyn+pscYqCvZJDZMEiRY4dgD3GmvlF7yRgad4nyXf8eIYIfL4LEoEzgq\n",
       "KoK3O4LT2YLf51d5xWq+zILWfZ88OubmjxCia8qb1SSUIv97fi6F8zs5KXctqOcDqmJY4vJqUZJX\n",
       "a1GzTE99M/5X7Qcocmfni6S1P0ORbuLTA43NUfYE+JGmvkxubayM0HMg5WitXmRc3oSpsAZsNZcj\n",
       "fsiSu4sJ8epXKIbrYGGoYoxwjO0IcF4qZ7u9xmPjBk1fl++SxYYO97FIqGfeeC3n3iBAK1dLDpNV\n",
       "1KJb9pvRsVg0zUJwHoojT/l9q46pNWioBfXhpwqYxwv8JglsxvQOhJvDp6enSurS2XLMOTUNX3pu\n",
       "8C/7GL4M9Z/FKqvwBt64bEhVaLCTM0a/9OOT+UGS1XHLltUez4N3wWBNorsPB7IKEBr3zT0I0OBN\n",
       "X3Qp0BSoFpRstcCWSqLHlO9bVQiMD6A1Rkw1KRSwBhNz9kz+MkNa3jNJFD50EKyGNTJmb1zzL8wg\n",
       "rnK8YQt+9YZ3ItDRHdbqDglGeFAsupPoAPIeRsDvCo8uXvBvI16BnNc3pEH60t6jWZbb4oGCT2G9\n",
       "bblpSINLDC/2zsEG6oRLFq1QneDlz4UbHLufWmFXdWAa/dzqZINhRN2xwP/vxWdKCRulsRtjwYmN\n",
       "xOF4dgQdEB3c0YPt4RgW4HvxJRvthui0y0s0Fqjzz4xegKiEFuWfFLfAoCLUJHeFKTtMTIhNEEIF\n",
       "JiLUa5/zluEDSVPTbUCaDsQ7NYGVKxeAzubGbYd63Z30akIpID4SrvjZuPHVtQAAAzZBmoVJ4Q8m\n",
       "UwIZ//6eEAAjpEuQBWlhR5OYFk0OaBHgdEVjU0MFAUcoj2KMJeidhO47o4CoGU5CQZQhnayNd/M0\n",
       "/utopuTYAMtxV00u+pcLjjuzBuqBNuTZWwD0cbXsB33ocMOtwbX/pvuIGlUkkk68NFgYRHhl0byR\n",
       "8Ko9LgjbLJSXptwh/tAZcA0L/zwbztT/Z2+yDPwcVNyGNMIckik6rnWGjoNL3qfZPq9il7IjDQer\n",
       "4oFIAA/+Ogb4CqlkqXMDAUrVu4gBPmRltsn3Nve4/0wMN/LsR+0Xpm7u6fud4x6lSDF9Lp41AAEG\n",
       "siuQwd/jz7A1UERIT9djXdpFs3sJqQb+qk+Cd4920Rn8i6+ka3Mb0nPcSPxW1giCMY635ty/GmeX\n",
       "Po7CTnNdW7P8uwqn4F4C1B9xViRX+H9fLzYxlYa9JNSTNVb6m9hRVsCTCQH2ydhyq6mPBJozealJ\n",
       "kxSPGdY4CZ5KJ5Io3y583IFz2N6q+i1pQNYXOoWfgVrcseMAAhw5NWX32cPeMRsuL+OkXtxaytJi\n",
       "SS3+cmjoS3RpR8vjOX4UIAgf2hBNu56ewV16RQpnJFC/EjoDiq8yIFUZp46mKOd4NYyYQiTDVWO7\n",
       "fq7BubSNTUeByCEc8bHfBUI7OteqWQAR0V9WGetshhV5/5E1EGAnk7aYLir8iA/4lKwFl73XlFYe\n",
       "WTCE9lHKI2VMN2aoZOVbDXewjD+pjKRzwY9G6q+7gn5HT/I3ubLMg3Y4HaOmQQAfwFKzfoVV0O31\n",
       "I26OwC9wDOqbuP5VczSzGmMCAtJ5s9Ho72lNYs7LgqrNOH/WI8M/hMYKFsrUKdXNjx/009KlNFNi\n",
       "PvKyRw2b9nC1zkVcaZMpzDSEtGWZPp13g6K0ddGgH8C2JaoY7iMuqVh2eaeX8OMiPjI4IOCB3cTR\n",
       "V8yZKPv/h5WlwrsHFXGzZZrVqCwpBPNs84f8ogMRR5lt1+EVp6pMf8WJsnkGiX2l+rd6zAAVNHXU\n",
       "pETOKOToYIR8jPBttBfsBCExNx+dea0NwnFzskZJlWeLglBgEMu3r8aQXhRod/QMIXuM1OPieWQb\n",
       "Cpp4y+S1moZXmm1u0uApP8EAAAMDQZqnSeEPJlMFETwz//6eEAAh3z2UuABicDBPVjShaudzdKTJ\n",
       "nKeUU/BZ34BWbl4cp9Uod0GQRnLHXddAiwQhGV+81Cfyo8hIXF0gBxNVq7BJt+IFAFrkvOYLin7x\n",
       "m5pP2PNP225MryNbu1Xixeg74pIht/IakEr6mBxT6MJBVxNKznsgJj1TCBwOWsp1cyurtObykRHM\n",
       "Nz9vTqwl92KL0xh/RMR/960y3hdFtxcKh/39GKjC1ekGq/2dcRFHYAM4ZnxI5RD8hfB8hLsa0Qsx\n",
       "L9zBPjxLpE3dMFsQ4hTvt7/LuFN9sICHQoji7q0F3zFv0HxsmgmNb1yEEdHUKFuJF2ijrzzupt+B\n",
       "11QnbNrTXGu7+HMTFWMn/jgOIZtvNKxHtjMDqnzrobXSE/OZCvfwZmXeUQyizthdpyg5ZBsajcFc\n",
       "p7FnCjZ6FW7Qxm6QFdAM3ZSjIA+4HTinNUR40LzBCMRtDY5UUR3zdAe3ruN0FJrlgp4Cved3qeHh\n",
       "AgP5M8FonucM16/xUNeYVaBW5YYInf0nbO9l1PL6ZnmiyPGuRRU62co9RFAZQt8pOgnWC2n4pRoX\n",
       "OUPX35Y3d6nP8uj2qVv5w8LJt1H7fiI/kSgscqwTFrADOxPtNjlZdF+F1I216LL6f/uu2KjXBG6u\n",
       "POI4J8/kfdJcBoEZX6osyanVyB1IKd3Xvwc8fPm2mY7crjcwWzkJmUENtLMbDfquYexInzZoA+l7\n",
       "kg8qTa5kmkWCzvbteQzm/XWKGBdgAadlPrFquSQ4ZmeUo3MPQ5iXp/7uBxv3qHzBZPsJWXDtPZjy\n",
       "oMrFHN3QlVGKLifChQB2RnOWIgR4mcbT777e5znJSdYcgCACOJCZ+YE7/eri7Com8AA2AVKhZQqi\n",
       "w5vPqYsghva1tC+O/oYRqCTaqa++xvyaB5LPsY23LB0Y1kh2SdH938+U3r0bonTUUYfbLgaYA9FW\n",
       "jZ+LTf6UyZ6etnkX18AcjZ52VpnoBD9goL5llcxsNuFJaNxbt872ZlT4NDBjwID3gFBBAAACQwGe\n",
       "xmpCfwAJLEYNCvinqkU8Q7fQANiuMXAAc6xE/hxwSbHOGjeAM4R9GY8k8qun+tHS/cUCzqk95U2m\n",
       "M5XiQC/XjvelzZ/JSeMC12omiYrZk4LLD/faHgidjNDRC1l1jvDyQuq4B5A8m54+o2tE4aMwCc0Y\n",
       "7uwbhTPC5vDo9aNY6jcp6xwgnP/xd1m0M4BiT5ucFQyOhicryfL6r+5aNWQuPqT5ufC+Fw7Lhdu9\n",
       "bIZmoTRwVxUw5zBWdlcwxmCan8RNLxuB4OHy+rlLzpURqy+1Bim7oTTAOxURdFrufY6CwvHl8iXb\n",
       "AfzsALfqU/xlLwQucxXetvqgZ38WECk1bjF5T+laWKDcjemOB8gPoK51dOeQwHIRG8OBgDFYj8Sw\n",
       "2rRw6AxzsGrrajIzwvrL2GswGx1KwDaB++7hbOkkfr6ZI8OFGwa+q9aI0pBtt4ylQwHhGjLr2KM+\n",
       "FNHs6cXLN/xY4NBdfiBuM7sHOAHBmC9Sp03oV1IcgrN8Jolrs0lrzBncWd85sjPI+JcT2KsFoMIO\n",
       "BJtKSlCRaCh9cClVTKuhXt2z5npM56uw71iw3UxZM7Vsg/MAShXZZ0wxy//VrRBaAKNVmQgcXcEN\n",
       "XbLLvQ3N3/vom/BOfNOaTpQb3TI8maIynggjK1XxJs89tyY8BPqB4HGHGBZ1LZAnO4+nDljD4FjL\n",
       "mwi3exgfi4UNC+51aPTgJ9kfE6RZRojqXydaSGZjw532CT8xlYHOrffSyw3M0W6FMsCb55tuo+gu\n",
       "40xbcaDFgQAAArZBmshJ4Q8mUwIZ//6eEAAfBWKQvCHQWTQANjFPRs85pnGZD2dpOj93hOS4TxW2\n",
       "MDRE9Lp/PWSK/lyLRi+2+s6ZzVCe6p4vx+MImGZCGuwNh0PCqZXGzJTnWnfZ82Ek4FzSd8wY3rCU\n",
       "m2vAxwaNu1wtgwb3lShu/LPXYCCUQN0LOV6fyhQGqENjy4u0BtObHElsccPxd4RIwEjIQppr6XFW\n",
       "zZFTHCFZjR+AQZJEaT2HJNALXX6Cb3i2P3wqHwBJ6p7G6MVKXc9kLPdi5EoSf97UjXCh42RPvmSS\n",
       "icsVoT88xXH6xFPfTSgwGR08mWh1/3Vw3SR59LqGZyjb6cVu4cy1B4RU6I+AsH4XBC8cRRS6b2xN\n",
       "K1BGatJ7gZ4SEVsde6wa624xostbQLkoHSZyKYIjHtqNy0g7QgQ4j7EPg8usJeTQaz1MynTTsZvE\n",
       "htn27M7sbG5aNMUwfG+CJT6C+Fd8v8NccXUBWSLDMk4OCfkGRC411g/yc77k4mq/BQ3seqzr08qa\n",
       "2T4yQTLXsicjbDiDoG+1Az+ElBr9eh/sbai4OD1b6QN65piMmwU544j+jSR6bCBHSWFFVJuvZ90o\n",
       "mH7OD+/kmGPALVcel8/BTYV28ReIN1kkWwavPGiFoQT+Hmy5FY0mg6CUB/QIdU+Xc5nv5JJrBeBu\n",
       "Lf8Y1Y0Kk+5T2rt/T6lEoU6vBqWaXxYJMvWb6UsCYsEKObnFLYlRwcP8IIi6YnBPvyDjmG5VtVyD\n",
       "W7+6Old/UwsR2zW3TMoRDwVE6hoWHxeyCIGggt7/HcxjDC3gPgR+ZCgp9dvRpST7ZNgXR9+WAtcF\n",
       "SUnoBb/S01vkeCb8tLd9alGnxkIbPEz8SJwi/TA1EWIRypCGz8cAguxZZiIIvJ+iP6aatuDpNio5\n",
       "DQzi8DUsZz3cCHiBCBDXnJP8y1M8AAADnkGa6UnhDyZTAhn//p4QAB2lYHE3OgXahGyePeLCC6W+\n",
       "wskBXWB2qzZo+4rS7AA7ImgkLfkzE0yw2Pl/cVEEX4lx/6QMJtxvyzpmFthk90Fk4FnBjG4wZ/Ge\n",
       "YL76wInlnjxQrrTYGfo+i1U2jq4M/sRnmGqVplMZ7h3bEVUUwcmAv7k/DAod2clUIn0MTqyJmQ/x\n",
       "bf+p0Jx9+t4W7JB/1dEhEucVY2z5U6ZbkSqH7g5bTsmurlrW1MhQ4iLZw0OIXXSuW6FM9SU+FSJD\n",
       "cFWGVNBT/ajjDiCL5L2aJtzRZ69ZVwo8bwhsBKEGeCKG3EV1mZgWF6egn/ahN5U8GbQSGg0AQyai\n",
       "Fhvkk7+KEq/NG/faJUqWLZjORPrbMFL+RmAZcXdiFO3Y/IxjugNvukAZJLRBaEdxOP7kAQBiWra8\n",
       "vqj/iX3pJZDHNuL2nL9af9PvAPxpkYexRbhLzfpK2M7a47L2M+/0LOpLPEIKjz3wjYux7aZh0y6v\n",
       "ZoTaq0SaM0iGYMuyFVS11+1umjCrqupzbD07LF2yN8H/H1zFytPDdKqpDIOeWr6XzFoESsUNElGM\n",
       "aCXePinhypc41xt60SREzqhg5QRuB8156cI6yXrDVCaE8626Qu01nFVJ7qhCDwjbOdPzsqhM9FXY\n",
       "WFDe7l5oqrXMSicRPTEr8TBs6cir5sbZTo+jouqdQpx0kF4ZOSwg4j5O+XaZi8/VppzgxcW6UHwr\n",
       "OT1KeqaxD8OYvpBlxfpKbk8MzxZLw1gsNKjPy8UbuJfV+fPCN2UFUEayEJmLh900wNn+i1k8RDY2\n",
       "74dW7tJoWWlvvI/IOcRecE9JXXq6shNq9EiiKpL7ZwiFVxGBr1NPOO4hJFJYFo7BoybndA2UcJXQ\n",
       "nM2BndFqJQ/Iio/mxvo82naAyDfEiQSGwgUsstwj116MNySUNs6BUyv92qWav1k/w+/a8+KJ0XZC\n",
       "b6n/ENcmjoo2KNCA6sgLYaDYrep7Zx/adH/ekrUY+IZrpkOTPD5ZM5ob4skzlvnr/tuio/TII8YV\n",
       "ujub0CeVPEkjRktsSl3a2AQj7wBKaDefNiTn3QwX2vUBtBOEjH5oJz6faWQfLX2qY5HMvOPYmvE8\n",
       "mYx5x0X47O/YT9Tet3kETzKoi22EMAaQd2gwgBkThbZwdL8VZ0VCwjKHXEOyEprfs7CoIRyBt/ME\n",
       "0Q7ILOQcCvf3/5FucG6/fbU5zRuZda32cyB9o/+q74rEwRKBNqSAAAADYUGbCknhDyZTAhn//p4Q\n",
       "ABxFYHDn+2kwcSxP4DnkAE4x7DRX4UNN2Hq2XYUmQn6ca3L2A7sBZjVhL2wWxs0ifMgI5urzxO1M\n",
       "hI1SNfIpEnQRPtrs6IuJU6yift9Y1x4uY9pZYTh9yAFScQX2PfSWGesDeB4cdC555/jUAunJQ/46\n",
       "XmszGE92/03vej0YdpJgHaKfC/ECQhEuQLXNtUcBV2aRwDWtCAUhwUznyN1iOWeeV3X7uzPXibMD\n",
       "VWGNaxDSVrAfpevpAWUNTbdj4PFmgm2BPwPao2mGYw+hayZHWLAZYrpWDOmG8mttNMGeK5cweB7p\n",
       "P5CcMOciqVutXvq1jCGledp9MvRfGMXfCdhNeEyc/QETKMfFuZ802KF1hte4WvD16rGNQHH4QDSe\n",
       "skYDRgm2rOxboDA8IFACYoi0wto9Qa/hxsLQqydGkEA82jm7jkIPUn2EMroSE7muNER7jiHR9e1O\n",
       "h952j+wPCDjTxe6dj1kP6wDhGOe7+ofEqDwIw+TboixGYwNfpQcREMK7tPjor9Nfni0jfvBj89p5\n",
       "iVcjvpHSuC0n3GGWRhWn0JBlzdlx7WSYjTjjKPm4ElOv+eKexrZpu+xYyRJTX+E+1eB87rhHKYx4\n",
       "8F7lvfLk3pt95Conh6prh0eFaz1IqAZSCIca1gf8TAq/KZK9t6rTYV7ntii/qWP24FbPw3UnF17f\n",
       "tc6P5HYti5Wts5CQaifZKsOI6AMDfaJwAp6y7wgjK4g8ebAAs4tPcF+yZmTEiLOogOF0enXZCrH5\n",
       "CjL40xXY7SHDwacBoZ6UzQzh0FWrvuUoilp5Zuqpl6wY7wteHvgSFXFWPSspES6Rgi5z8XtLSvv9\n",
       "doisXvQnGuagIYw1VBl/r+sBRJJaJyetBMObwQq6MMXXJEM7pIZHkvL3IAMMUH141YaSGl475d37\n",
       "AtWmjGil1cmaGEuNaO/ozsDmh0aKVqsoNx4vXanNXD7q+icfF3n9IrhoKcn9ufjkKwNtgZ+ETZIj\n",
       "/9A3UnS8agEAxgw8KeAFRtirLboIPwq05oEIo0UErNZrCbiklJ6IlhIohdeCWUCtUyur+EOyxWU5\n",
       "AAwNOR6YcJRrav3IItfhODK0lufrQXpySHuup3T7TkuhNAqbr43ymLY3WntsxN3hsJ9iIzsAAAQj\n",
       "QZsrSeEPJlMCG//+p4QABxvgG7o06iSVh2XQAS42NJek2Dw0WrmPde/wXjymmPoDlXy89YUJTf+j\n",
       "GtLEZ5SQzXtCa0sLd1ySRbMjaIaSkA3TJZ/PgjsPw76v/7U4tOVkpGgvshGq0My6qUXkxTkAnj1w\n",
       "e1we6ql+u+1WK1txrGWy186e9Br9nkZ88lwy9irwzTf8E4Dt6VK8wDX0D9Qy04z6VFpN8ys+0ros\n",
       "zdOlmM2NIracXId5DJo8DIKfwepxuHMrD/ncjI0uaq7DUJEotFW2p0dwJIl7k3fnWz1wbjDG89ad\n",
       "drdCI6xJ8rlZDvEzkaZ/MCWxMvHUjhVsvu019WhGD0VueEi4xAlq24oi8iVim/LKoaByGTqjNVDr\n",
       "Y6AYQUosZpmU7W0fxKPVT5Bj8eoEj5m3TPjcaA9SV95udWS8/rHB+mchHkGnt6KiJwK+aRl9Fs+3\n",
       "XvoSAMtD3YukmrgbLqECukXs27OJ6RD0oqI+6v4EUjmFJZvI7OZ/mLxlcYxmc27WLXX9a3rQoNBJ\n",
       "aNRjbesljEvXrEXlf2n0DmFl2CNJDKP3K1krBN0nZOUSUGOBMyz9vIPeWjkAOcXmzq1Y4YKUAZmF\n",
       "r71fdDmPnUE8TgyweagsMoJ5I8stQydp5JD86DmjGFmApKO9Cgmwg4EF96M0KV+8Ufb8tyiC8aEN\n",
       "Lx9zvATRfsW19QWFTtpSBj7OjdgEP7ybsYB4hP0wlZBxGXxkGm2BWZCbuzR/gqLzyMHhvwXzj7bZ\n",
       "9rxw6giznQRatmG9oWkU6hFGi4lDaAhA8K3EJTLqtk3vWiv275OmJ0O9jwykrjrIi0Tom6/4Nd5V\n",
       "4PPx3W43mArZmofbsG1nmxyPhyppaymhDCFF6OE/+jq0H2FMUGhizpATymJGfRyKGXwup7+ohxeN\n",
       "aJ5X5DL4Vq6ks0lQMVtLTwMjml08mZ8EsQiUndBv5c+yYBDoYgAu7ZpkXd7FtqPOYq3O4UHPj/bp\n",
       "f41P55zgq6aT6fOWHlX/TV5aMuGtt5ZUafbPZTe5WMJpn1sV9/dgq6Y/IoBDBiiSqw6yrVPIrOUj\n",
       "YHT+SCDCpZ6dauOCPvfdlxxNbvXK70xYKIxP1GzSeUn6mfLicQGd8bHeOLWo1cBrpAhq69MBh0t3\n",
       "T43gwL2tbvRybDG9jx8bSWBaOznIMQJlEAdB25qmTzKSgefgib0H3g1V3lo0z5KG7SltyUomGiW9\n",
       "vKz6gLVmMtUf8R6UZvzrz9ErQg6fj+ZZor06Fb5sb28w0QL/uYxkzAeIzVmtoAyL0kgshKQWy2tM\n",
       "b2AmDxweheFqg87eleEoUEOQ+dg6i03iODbQso5yg5xD9y7SU647tAG4gABB9GcboHmu2RNSFJDh\n",
       "sFrmz7oPjZfO5kMBCr0ZHbsuNUyGWvA35eoPT0j05AK2AAAFfkGbTknhDyZTAhn//p4QADE6u3/Q\n",
       "5nUBWcpK2QLGYjO3L7FyAT/AzMQEbs3r2QnInnoFh9gSswYYTMNbpLDcr/bRkWlsuFXLTm5po20v\n",
       "yPcL+FWCGeTIQQql9fWqMoPBhzgP5cUquEbdxepbchCfoDlP11cOnJIr1DPea26e3upxU/wWHcn1\n",
       "5x3dkpmvveWpmCT7TrDxTQJaQuUzJEkJbHuY9TcSgQDYuP7O0gYhIMRNOIA9JUgIuzzzO+rjPW8K\n",
       "UyXbXgT/WPmsHzNU6pAeHj19BqhDrA5iSDsVBlDz2KuWpopW9B9LtGIrGe/MnzTIvawSLu92ISNk\n",
       "9JtnHIJsDiGLmyiQHEqatdiFdJefk8PWee+cXkYzZVWCYnIWHNTQEtljFSbfw76Bqg7H/isaMAcc\n",
       "2UG2ia5fNYt7cu1jPaxuBbQtaFJfIqeNZPjVZ48Bw3sMxurGo2EwqpC/bhU7APx8pabsuDSoD7zE\n",
       "4vwZHyM9vtHs+Sx5uM03Aehk3Xl0M6bTe5OSV53hqVOlRzxkJ8VXSMZT3HOTGwSH+8roizXT0Nq1\n",
       "VDBLQ3eNnok5pK8fa1ojNPbDtOq/MnqPbithcnYZC7FpGFQkHJVVrrjUcJniMYnIhydzKxGQ723q\n",
       "EZ0VaP7O7+qttErRF8KXhemJ7UFdINOhNZLzNl4X4iCmxqSHt+sYhoyod14A+bf6AwP3IJBls+hc\n",
       "rwo3QbmNsHPgzkX9n01ssnP0sNowHwuec9fWAb3gLpb9MgENQj7eI8YAjqGrjXsEVdGoDNtE3LgX\n",
       "Uarhu6FOKOLMPiGTRAR1vit+Vdc9WmaJEd6dxyudrof5Ac1QelChmtdfTRuoCp3sQPJ/Dkm7RmKm\n",
       "s0841b6krVEvv/vvkCaoxFe8uMTNFXxIqwjKfOwoL/4+Y64LxCAoxgS2yaWwxweVBfUdY6okgmd9\n",
       "BbcWrB+Ocqul3JksPLDjaPC/E8BzCxOK0ZmQJ/cwSODx1wpqmDMrnY6S1G9fB7J4HOZASxSIrmMy\n",
       "YkT8Nqw4yAsmRM/WiDEU0leJ7ifJOl0fMGHcVpGUyeknfhjHRgnkYqhAZVoo6jOL3lsb8MZK8j7s\n",
       "s1qGBeQxTILvEc0CnlI1ZjgrCkAbk6NLxn0092um/qQgNW8KzQSwfKyUzgzRlq6JNvni4zOd8wWE\n",
       "fBAmHg6bt3JlyN5VYR5bLVDnPSkpISvi4Gqnwkk6YLsp9clABLg3NXkvD6YnBrekD+8zkSuoHJIt\n",
       "AMSjSGuqk4UwIAS+G8bk+Lor2KaYCt5XiHK5oWFBbAzUJAuovuVIdpHphatThZJ7uvojhz+lN5eM\n",
       "gNMXMbtPRRXlTNUNvRFcFJ3k+NI3kRpi70A7LG2GEq6ohyyOc9JAnXXgpbcX81mvhFnnpYbG1STM\n",
       "3pd8Tqi/O5LpmTmTh2gQU+lGmmT3gDIaEqS2Lz5JXleZ9S7Jb4q0GCL8CMy8uBJGyB65M8pEsVU7\n",
       "CcDQfBYgVSuTagOa9CBEtbUEMWR5GWgahO+6mxCbApOAcoH6C9T1TQK63rFjT34gDFv0IFEUuOa9\n",
       "B2hQiIPkOnL6ualN+DHWPv7Nbrms0YZ3rAaZZlZT8OcQ6xNz6xBsGsO85EZ4taQ1STimz6+Dv64X\n",
       "JdWjGsHCkK/PiP0WHnNwJiJy9Y6HIbQTb1GjCGc6dSSmb5vuhANK5WWaoLZrkeqI04iSoCwLxQMt\n",
       "w5R2RwwxmWvU43N+u0UIjHsIbv4Kmps1cho7C/hj1LwoPBrHSFMuBRtaHIOhTL9hC8hcJ3vFtCDI\n",
       "N7he3Ge29v9DKIV3vil5Uw05QgwlvACjkIjxsLB/Of07KFksHcg72PS8zX/qw4yxzOQ43/jqboBI\n",
       "hKMxfSX6BgZL3UV/VTC0AIuAAAAC8EGfbEURPCv/AAo7ROR+TddV7Wpwrx25Ec6wAc0XA45m4CuR\n",
       "KrhGJkSIpKWpBphXEmenlmzaApBtGJcnI/Dl/Z/q56C94h7uhYw0Ap+sF0AVI7mENYEIvVZsOdpz\n",
       "cyjnWeMgLVmvpC7Q43KiV8k/J8VB/U+D4jaCtR0V3L4+CRLFK75TPsjQJwksQztuECAiJZcfyCUr\n",
       "sXKOEhvSTI3zFIE7DTiKISb+Agqa9CzdR/kACx5AsQBV70EwSuKXL9kEUUJcTEk/AOeDgThr5Tvn\n",
       "D22ynurl3RMiJRsNY1/v1+LBRdvPq+oiHOlKkOIx1YKrkySquymMyOvozACBRmw9n19Tsao7XDUa\n",
       "KqNZxjIZuPBHRsmeCgI3dXsSSAzyo4G1bdCediXfcwyeRqoJNbnWKrF6HH5jhJmSoNNmo21Z+qFJ\n",
       "15ofl13nOnzhrup9r8ftteBURMSf71SpBL0qbHULeqq3uFQrp1Gj/i6rkUDPlbf/U6EtDL1d94P9\n",
       "F96WRvL9mT6BekUJqqLdC+tk1s4qjK35054vjKDX/mX06hpG6UQF4niHQALTplx3CDosbVpm9plX\n",
       "K/ZjcpQxG3yse/OFpHh1Hj3RPjZMdTYb8wc4+PeRAlLA6vKAdGwIpa7/kRbb8iFBAXsaU4rF4LXC\n",
       "UpEtYu3QMjmOMLYAPDYa59SJ9WGtIx6SL/Jv/4+YaPB4m5wF2yV4BTHQUij398H8xbgzDSsZnjLD\n",
       "ToCPqVsRW/kaDs2jttldIyCaDHW0B7ZFI/UcQTaZzzSqC4PeNShb3M5VEwJUm6MKA1N87uxzgjTV\n",
       "bJnKqyb1t8AQaLZAm3KljbsGnwX17W7MYsQVt1UHzOcI0jQwuTzXSJmsqk9UKTnW6NLbkfMCw5gH\n",
       "07ARKWnWwWrbe8S2fSfZ4/RVdYWhGnORaorTnBwr4CkHxpvMYUcXTqgACFM3o0SwfYMiQ8+hRTKE\n",
       "mehLhzx6Gf7QldP0bfgOQ2OTwWjA8do/0HO8vvz9qA/xAAACZwGfjWpCfwAGwEvVIpEDt+lGr4lB\n",
       "/gKrLs+O2dnJkdxg1tNachQJ1wNpY+IUhxws65w1rvAqX/xQAIbo21QFxyRTkqc63j1MYwhnTrRR\n",
       "VvF59A+tUW9RoIlEPX+seCzkdqIaYXlMOb4//oeuKg9S1Bd9eCj43weKwOaHuJ41/qc+sF2fh9sn\n",
       "DthIfE5nZJABBhyq+mzTfDXveD9HvOJkvbfR/agSVSc2Sno6w4DRvZa1BVEZdIZkvZWpAYvd54zA\n",
       "iAA3KuQLCogVOXQA2fOFYTLU6rQl5tdnz2yiIcjG/lud9h+tBj9IJh2q/xwccrHCLz32do7pp+JI\n",
       "G5B1YW58NcUthvat2owPi+tn4ywFndrgvXig25ocxXa+TN+Pf+TW05q0wBxn1RltGZ9llMLL47uo\n",
       "L5/dxlwjw/8eC2be4s1qEfsfEECIVYlkiVkvKZCyqQzf1btuO/AgeLjgDz2dIywdtwvP9egZTIkO\n",
       "jsR5HYGlNtt7hZpLyVCq58+Wg7AhQ64JFFjQL93piwbwiX6X//xmVqqeGCoDUimF2eDfejGW0IEZ\n",
       "QeX3AihNOGkzMQQxRILQ/OtOkc4UJA09fAKKsTm5+/I2OLM54VY4PK3Q5Fl2cq3WYj1211Y3I1oS\n",
       "dGZhtJLdHBoIPLnWIthF1TC2mVKSWKbETURKubiC98n8muQKcDH7pUYBiwUVgRNNluDbzHpkbLQS\n",
       "gXy/8mUQ7IsNIjSGNgfRj0rULSmRDTIMNkP4B5BLU6m0wIUPdW8SMG2duYyPAU7VNvhGvsIv1ZxK\n",
       "Ve+OTm4FlwKPGYNTKkuJTkgPGMYH+9ACTwAABZlBm5BJqEFomUwU8L/+jLAAMo7MgANoNDB8qgrD\n",
       "9YZfQ95mYuBFr9OqwveO8C4sEjMstAqvlYjtuSOqtQ/c+WKZUO09PjEd0hm+ayCA4+4nASdc/AR2\n",
       "vQ2vz35yukkkvHq37u+4TclNSX9i4hEnFU53f5Z/xOAGedVOvgbiDakd5RvvGb5iOTt2cy1iPKQr\n",
       "rQROJhFwbhVEPCCpBOgOmnDuamkNyE2aqEltLPr8TDqczmjjlsAZ0CAhibjJvuwI/pWhRfMDoLcQ\n",
       "DRSBvdDsPDFtJ2I9LT86cnScBRXDa7yxfvO/Em+HNSqlQzxMwEPNMd3hJi3NFEV9LiY8P3YN8E/G\n",
       "8iFEyiaKngQuP5/LKv2vJguvqJmOCFzY0vePMVyaRlopkD0RwNBo4r5jjRYQaUEp5jX9iXtGaeJI\n",
       "liGj/xdOPFzPKxRgfF+A4EzJWmK1jveR/gSpRJcyvuLyLuK0g4KFgASBRB7lQbL/WGVik3O0vPfe\n",
       "Gx8UxDwc6Q5mc3JeZFaQFAtg+Plas40sW/jkUq1S7YbxdTpdNtKxdlXwUcm0+FfG7l87QNbf6Nq/\n",
       "lYtrUY0SG16Y6Fr8jJN+TlXbReEeGM/eil4F6ZmnNrejm7KHjBhuNuqXkmQ5PuGf3tPNTutqGmDW\n",
       "iEYU+lrgC7ZpoP+1PRnH58ieThKw/l3abXhzAd1zqmnB1S24g5a9DCLaw2siAyeMWOry9f7sgG/i\n",
       "Szg1beBnO36GWAosuytNbUCBm6mxrc7zxzLzj8i1RgBY//G/Ic4OPjpjWjr3RqMzsLnVYD7llawG\n",
       "0batOfoGZ/3UHCNo0YPUFLheWSMEOF3pgKu8z5/sS8C3lp062utfF3H6qNEOOO/93xE9Z5zkJQrZ\n",
       "AVU2BQ/duabj9gpUzfn3RVqomJMaWs9K1mUZER7X4KF+z/B+ILLe7oi6sO747N5+6Ds/P6eYJIIv\n",
       "Bn5AGC6zahzpjTVSmrdlVm5a65BTomx7M+3vHi9EK5wCTvq56ySir5JT+ZE1wMtkVJOcDf9pUsyZ\n",
       "MkYnFznN3mBLJ0zMLB37yLH3es+1Dib70FzPMg2Oihf+Yd4hHxg2V+Zx5luXj1UUZfN0ReVVqpG6\n",
       "Z2KJPUCgBir5YCQYEbzfYm+AeeCVPwRnzMcpwHcvoTvOLSbh3Qplb0iY9LfTCTPY5CY8VfWD1EIj\n",
       "b1rMZwHYBSw+bNWk/RgY40akf9XIaNQxMoQn8El6Sq57cx8zZatD1TTl4ktwMtaSiWHqONyLpmWg\n",
       "XcRfGuIO/pf9f/7f/N/11PLwZl/n7cvrzwyKaKiD0YugNaFfCcWirF/bj4iFWZZhdzkFaJOdnTbd\n",
       "8uLjvAcdAx6RhZzN9QeB3wTLyRHN7sc017I41oqDuZgAcVxWIPo5mEMZOyVz2nt88Lru085KINbt\n",
       "SiKsmNZwwHxZLz7f9+KKkVkILJWYif0xC78wzSFoCpC8xuJBtes+z9nWgE+LYZyeCN2yjUpi9fqi\n",
       "+4/yPcs6OORXs7pH+1J5sBdrRWfrNvIQhE5H2KUCQodqaX3UV8vCF6yYy6ZXm6qeazDmTsWUw0Wz\n",
       "qdSYgtEmeisAzY6+Us4qWzwOhhrtc57cwzr78dG7DENJIL3oZxIcqApf24vNApagpOdUSStahNMk\n",
       "BxRp4M6pAZbsWgv6982o2RL/lB1XUsQDNwbcm++FrYa/PoiXe+rtu8W5DUKNmXFD6SbzsETn5UKY\n",
       "epM4ejnz77dTzGUp6WwQsL8DrFZih7gEnWYueoa7lS0bE2OHw9n8Yf2JkbSQFfBNkw5vd4fiPvSj\n",
       "Ys10VZFulEIsZz+EKqjMgOefHMZ85Xz1KR6rtTv8usGTKFz467/SJBoLHC6qdlPDjaKnV8W+FLb+\n",
       "KfFUoi6+Afm4XyLoAXjZQfWtVTghyFbBxjOAh7f+ggfaTwpYJwAAAuoBn69qQn8ADXqPUwNcADYq\n",
       "8tKPPPE5ZsRO/YaAfB5oeuj7wCGjfBmpv0H6HxA48W/i7M79GekWJezT6Es06n/CWI7OzP/lGs8T\n",
       "ah0je5f8jT/zT0cMZy+PhsYue5pnHTTbVWXsDFcjJkJzBQatDEELjtfBLG1bw9ifKfiKZaV42GdP\n",
       "+5Fcjw2TaFn8c5ao4vnUtvXlmoQkekPFQRWDCPm0st0L/XgbprLmFppU7g7Xzq3gyYjbp6cumkjB\n",
       "YjT/gk/k2pjJmr60R/Aos2q+06XXVmhF70zeux+BHKMCRGwBI6o6cVmXAkwfffrSyNPBtfTgZNGR\n",
       "Ut6rJSoTyzkSHk7VlfyUsxSu2Jbkx8GpAzlNTO7ssx2+bl1GilgmoHrsbGaYO1iIH3YnAqXKCR2C\n",
       "5YtAhs8aaMDjRemluQmUDuGP1nXAvJYdme/IU1porA8pxEa+l07Rm86WGh+30nUQDs1v8javd+PC\n",
       "Iwn8XEnEneiTTM0eRrWitW76zmZSrvnBopugNZ3sbL3T5sicYVLMP+YquHoSl091DP+00d+UjTYJ\n",
       "mg1vLGs1j7BVvXU+kPGMNLJ7lbYY/LViyL50Dxl65jp9Sjb5K0zoZleFmNGWb2NN0zdPI6W9SWYG\n",
       "CfE8scy8Z9wJbd7iBgf7mOdQbdK2hwszXKnSGLRUEYEaSnC/UF9r7cgtPGkT/oFyIsc5MQHxN3GY\n",
       "lIn+Xejjc6CpNUg+cPIqKDoS+AJDgnSMmIayk3Ez3QZK47ShP3uxNDJrFAEryhAkB+JuLdCjcG5J\n",
       "78bh4lAfX9OdoGFSvFmMnccQDyPqVo5uVNiE0bHAllHct1v3UOc/tjoQa97Yp/4x7VycFREnEaaX\n",
       "WD1gT9rafeZWisFs/KKup8dZYa47lbas1BsVf2cyuDM/8vnyKp1e+KS5RIBKre4rXI2jwL7pke8S\n",
       "/iNNri9t98undESDo0dHQcSTVQdGjQHmQNNUaxgQP1C9EhTncqj7apVsR9tP8AAABaNBm7FJ4QpS\n",
       "ZTAhn/6eEAAyNJ6mUA1V1AAlTGbDeZb5SRY/rA8d7gYPetUQdhOx+Pa3qXzVx8O1jVf6upzP//vo\n",
       "JUxBVH9WpG+QNOEPic3Syto/Mlo0Xp/PGfk9XtgUFcuZaaL2GfzFUScwHGapHt33tgeWvduoQ48o\n",
       "6uY4l1eWFb5mweqzs12TCgtn/k6oU2ygFuA8VrB+AvQUmWQmQGnaes9xzAde+7lRjhUybh0kK6NY\n",
       "xk/ZDNhFd3EuzfdrCEsDD0ty1K6PTxPC/3/cfiTmXwhLBOr9EdB5veYuvIe8V+myLctY34tSemDi\n",
       "paXzQifry/3f5fUXNvK/ihRmbv7Mjf5FddT10OlqXT0zUStfUYzu6nE2AEHzSPpPMyYCfkfIzWjX\n",
       "wjkxi6qei1itRR1HmCy3pKaYbHLNpO9PHBpjQ5sSpZOx0GEAnfWSEdP1roFzlo9i+82a6Y+4l8ZR\n",
       "7LK9J9JmwjAkQKEKuPEBehIoMZKybOa2wdTCSocOeaubZiOSzhGJGvEDFhHsJtoE0PwyUN+Qtk7G\n",
       "3j6pNhTkmLaJYQoaJTJKm+SAQbsvK1kqyvPsvi+S3rw9cHR6EshW4EWQmWT7z2bm5rNttlBG0OVW\n",
       "v1NJu82YWmqQh1kQHaT09qXOoYn66IpKXvtdjZKOyzWRzpH30Ra9Z45lIgJP4W8oh2pDwYOhW/0H\n",
       "7PZSIaDZgewb+XygHq9XzDhII5LfSetbuwU+rS1OTOJjUf58X2pbvK9t/6+m7q7K/XzfRSnEb710\n",
       "1dLk9SfZY7aFXjrWKet6p45EDl57gzb+7D+WtjWrnbmPrE632+s4AOZE/o1C6+F28y8Q2ARKEoAk\n",
       "uFb4Kmq+P715guagSHrMvzyEbXy3Q0yZ2DyfpjfJxJFfZVu9llh62hxVIBHr8WWctlpnz1pXdXPd\n",
       "6/mRiuBhKa7G7FEchynGF2whoGFU1uMvC/QLV0hskVRcCtZOpsQV3dBPXDJnRCnUsIDGlGdkzfKF\n",
       "16Q6RNJRNYBW4qgTCcIBM79snQiEtci6VCMJD1Py0ppPCeykL6VXoqGQJEsNcuStdzG2a3WydAqD\n",
       "v7sqLnT+V7iDGhsMSSdFeCg09yOrwyYO2DHIV1ula973o0q6t84F+Nz3D366Z/m3GViv5reqWlXZ\n",
       "DsEZyhiHaoVptw2BQkVTifrd9Ja2S7j0dojq6mBO6S1askCteSeVZ5Ul12zK4xlxySvJQNj/ea4u\n",
       "n0uXuvnZ4EySxpWuCF6H4gZc1Gl20CH/Iu635CvhZmZcm/DAuV0sGThm7019vS4zMPaSnSjHdojR\n",
       "/UD51ymDF+eokaq8MmHeXCEfrJmVgf1BGPmujL8MBzLERNKRdUsdkT0aco+sGONHw+uelM33LimE\n",
       "Lm9ooGfZBctHi7guSl+6mNlA33jQ6xdaX1o2pc00PH1GyncDrp+k8EpK+s6PQavGeNppChLdQmft\n",
       "IT26VXsy4Bdwrm716t13DLA3y+2RLd+t4DTXKLpelVK0bd7IjvsmH1+J5V3/6hCcNg7om7EfwEuH\n",
       "eQt7EZe61w7wzRKmmPqLbZoZL/jTRWil8d0e1BbVVXfJlNjHk2hcV2duXz00Aqb2DCFyn9xvOiNM\n",
       "QG5+H8Va+bRirt17VhQV5XMp4XK+BmzcLI8sJgzNuoabag2pvsXI8oXMqcEuimi45rYf0H1nyUuP\n",
       "0zVENws996LZA7X+dR0yC171M7TIqtXhgwHypVJhZZBY1SUG2z2CDsRelC7IIFZXcIOqVMlMt3vc\n",
       "oefq8hkaRwwmyYBp0+Evy7WlQaZg0wkJqidM9UpI1+JODX7dyRztT1/gXtvgFXLLekMcNTNXDJPq\n",
       "FeJ9NYCWpv5Ly/M6EBqaBZZkELxcUiorRyUvPdo3ikYN8f3WNqydrNVfUau2zi2hCVdQNStCjCcQ\n",
       "FPhgMY/nt1YUb5gAAAWAQZvTSeEOiZTBTRMK//44QAC6AY2EItMPite8vQjg8QAMyEthzfPcpFh0\n",
       "XwVAd+WKexiq3n1KrrDf51UGfZAYm9uut4b4HCvxIABVG+IejPnxSSCul3CXWJZTuVjDVWvnFiMU\n",
       "9DtWcfmYAT5NN95d85nVfcteqPrsq0vIDEOUywMeOxA1Tcm19eKnX5XmlygqRJh1Jihv8Ke5038K\n",
       "Q0BS/kSv2rYEghvpi0wY790oO6kg4SKEYpQaKQh4hAZhe4WE+gg4ahIzuVkTXC1T4ge9Va7aGDo/\n",
       "+nxswn/OkwWwWEDKGGOwjH6W6ZL/AQTM1U3a7S+JwOXGOjIfbctFGuGj6m/j211SGC38mr6ZKXU2\n",
       "LhcQ6pSVrrjYmoGjoOvvLmCijKcUmdXTRAXmDjygF00sGdDPcPZW8vuGR4vcYGxnqyOZ+wQnTlvw\n",
       "4Pwj//DH/U8vgWW/m0aE0A7sF8tP4UioxeKDrr+sZTLJs7LoJ8eAfRlQsaQBnow87lJ0GAeDolmy\n",
       "qqB0D8hGRbWrpsqU/NZWHMMInmdMGdWiIaflDjBGIW9erLnL6y50ev8ppn8u9K44Nkt6SPRn7f+m\n",
       "DEw45Sifzk1rRvaC0gpIkjeEs9y8FsD57lmhrV7vD7x4pGVHKQLuN92eeApxapRENcV+qQUhHQzG\n",
       "szx7PKDl81hrP+C6PVJ36D2xtMRkfcOxzca8fYUesjtWgfvqJGFQUr0TZtIbk9MtxpyHYsaieFFy\n",
       "yoG6mhAnZqTo7Z8kt59w9rSDj9msfuZO4qdBxgV0lfE4Oc73pkGNheYj6EvxkxUvJSlIhucOjt+G\n",
       "zH5KFst2kSQcFOazTXVj9nh9d1NXBGl0nzufvLCjZlkzF+wY/faQb/PK6/LEnBVABZc0NzyUnQrV\n",
       "oEUI75PnUZzIQIEnwjhXwfqOHh0BUN6AKpIZnapeLCOL0v9Hn7YcvQiiwLE/N7K2iBiEEgZ9h844\n",
       "SC32UaNSoCnfH+tB8BntJ1Mn7nFvbyek9nbbeb3Ut67xFTji0drFkRVo6ryQYmLBl48IzzBUxGRc\n",
       "aD34WQy5s0/iFPt81wizJvtWqcPeG4fOVyyFAdfwnp33ZRm0GhtvTNGS7a4zrJdS7X4j4OS4y3zc\n",
       "or26EJ6dNvqW2RB8Upu2lU1/K/LhX4hTgIgPVDfLReFg6P59651P7qP84Xlakj/zoFCzDdGPo0q8\n",
       "PEQBzoJEFB5mfheqSex2kE/rJIAcnbkfbAC2vnC3kMuebSYhmVDDeeEv3ZWuufEMAkZpsedtFH3B\n",
       "j7zMyPKlUBZuonogPXmLUUtA4pw/EA4992wp2z63el3D5T2iNSxT656koAj4N055HSudexDWA6oH\n",
       "xh8trOG7L+qPA3HATs02leym+pBAvCJMq0AqzDjnm2PkYTF0V4gBYA2g98ZSGLBvR4p0P6psyn3s\n",
       "SScEn2WteQic3ahelA4sLvuiBI68NvbfBn0eTIBGYMMCgI4Sts+iBM/5zqQFgBaNkCJ9A/W6aqo3\n",
       "QsElb+rnum+qBojJBeldRxwz7XzdBnn0c4NQGX/MTTLOSo9IeVSk4ARcQmVQnRO/mxu0f2ygF1oU\n",
       "HN5CHfemHtfvp0721Ajivt8yVBOl/OipS+GMUtfHkremYXJEGLmXteefTvxKDGnF59RtllQlqJ4q\n",
       "+9O6UdkCuWe/xq5o5FlMAl7+7kRKa2kl9GHQ0SBDL9TAQn6ksWlBtQUk3UvpED/LeP12E6PGrkMs\n",
       "PBBm2DWSyzDtFv38zP+AxgzopwkfjsaQbUbukBUkfkZZGkUYpu0MXqGN5YLLOMpLR7w+g/HKzZBc\n",
       "1oBhH4Jl+rMd/t0pgR+H1E9OW/4RmJ9xy05gH+UqZnpuQfHoF5mdIC/6QuKbNl1Gre6AIYitgQAA\n",
       "An4Bn/JqQn8ADOCZA7y8p9/1xb54IoWPRmjQBW/Lfrv3VZ2/IB/ZwDnFlf2H5S93yWoqLxQzJaC8\n",
       "ck+tA+0q/j0GKyZRyoR9u4BCQRy3x9yJoTz3RnBJbcHPH+AHvYF/ijj0HF4OzyB7R3lJ8KN4Mfw+\n",
       "SIrAZSG/PYzUI+eej71TTUqeip+GjX+NoDTrHVw57Gr75Suilp+jR8Azn2zsfYimInLsuXnIffPF\n",
       "HFjuP/De2DBcqk6LdHTcD2DiIB5dm+KK8fuNhFrnJvpSdXCTOpgYVyKnhQqaize34K4J6fcx7Qwt\n",
       "G28ZV4G0T7j/39iXcubieV812/nw/n3rqIBy2v8ARps7zCns8CczMwfH4gcGbmjd9sPjlQPyr2xS\n",
       "TTuACTagums92WyD7Vt0R3Tp+VHp6T9kpGGKFafQZQZGYBMSNi+ZziDS63Qm4Epa/iCrrM63NCVO\n",
       "9w9J1/GSCuELmsWnnYyHgM5LiGYdJEO6EnuXlsG7iEUVLjH9+zRueudJFzyI7IRnzJqInHLbdoEe\n",
       "fcZavFgA262JT5hyapuxGGUHMyJaL1SmRfbz42G/qj8vDt1NOuJ+HenQXW0cXZHHl/y+ndNaH7i6\n",
       "sWWurvM2a2+pmKFPO4cAx+G7wByTX4J5kZXlViiwN81T4GgiLC2pIfOq2xOaBMsF+meUnj6dociG\n",
       "5+0SxBzcuQfh33IS10ZBAy18RkYg2DQvAub+JJpNO8vw3EaNXbRyd3v9J7Z0LcOucGLzqutTtZqu\n",
       "q7yStVXgLTHVlE9MzpwLSmKN5KKhSnF0lMlXNATkgYZ1NL13yoU/Sff1RNMKh//RuImkgH5iOlr+\n",
       "qjsoRWNcgPVVDgAg4AAABC5Bm/RJ4Q8mUwIT//3xAAGn91KSVoKr+i8iXLd/SJ4YNf/5lwV5zACD\n",
       "TyF+11xVAIs/askMXYN/zY2uVr0gAT/PppBuUluEZQuWJEU22w37Usnc8gTPhpRTe6R5eotsC3f+\n",
       "Pwf4Zw4nugaJCQN99t2eo4lGwbCWgfINhCY/Ne/TpxWY2uVGETqpxJ6iE2Z/3qwI/0oe8kjygKSM\n",
       "TSCIcrjSegxT5yTbAYwHjlOQkY+cAyrMRy1z35rWO0KIrdDpBzZlUzc8Ie7rZdMDC2SMU+5lh7uE\n",
       "nLH4QOnf6VzqGva1iDtC1dlT87zf27SMsMyNEHhlOft+gQx+gYQcCI7myV1pFBRrCCXyyPZZqBBW\n",
       "FBiKS9v5/fzFU4JtFQkmFkqHjn1QmrImrSkWe2v9/Cw64q982pva7J4spy5OgygeL7o57fApZxbS\n",
       "PxJTASU433KMhPT2uXfEoiiO8J89QQ9t2P/ycl1rfWV9cs+F72ROIUbhDh1PqzkmbMuF9UMNy9yd\n",
       "odZiqeo0Owsi5xRE9GEz8+ia0q7rBCdcaqbujtpEpKs4hfEglr11uoQVeSSabejIZELie1X8PdQN\n",
       "duSurxkIRteTgTpyRDNZcxPHLqb3/gwW8uru6NdRI5s8s4yFbNW3SI5My2FLQnl4XfDsGsPumHEq\n",
       "U/5EByqV94QkoSCngn8t5VQQQca3o9OROCrYMamxvuo8D/91nygVsPJQR0ZDM1Fv+bYp9++MJi2/\n",
       "YX0CSK3MTXtfrGTumAde9JEqZP/KT83+N0YVIjFGKpYkGAuBEOJtxfLn48twvFr948/HBL4f73Tm\n",
       "DDUodgHFVwZNQDT4v45B/dcEZyWX4Q0z9MWESrOIPk7yT+8DqzLamnITNi6RM8Ls+Z+wz2JXEEPH\n",
       "W07k8AGfPaWtUn0NAuaIHT+AQeIKwQpxtMkW+4hW7pNYJ2i4DJhKj+baXbi6PU8mOGb1JdvZcXR2\n",
       "+YsQruA9GswGDPww8mI6nffMGK2/0T9BBM4NeCr8O8QLTXHQXPRTrhSRonFMSR7XHL1APNTJpzrK\n",
       "9Qt9HbO2eCVAz8fkKbz21tt9uluQHYqUBxX7SFhWboR27RiDMzIVARitih60w3E9wFdeFqSSxfg4\n",
       "0ckVLpaAkLjHiROPVZCkUYBKs8olaVYUw4CON4DvY+4ltd1gHC5yVFz1ymXIHafK+AJrHgf9ezBK\n",
       "LR5dRFR2MtpPeZwmtC/CMctsO32vCOh7tdGAL0/5+1tsHGHLr82B7+dJa+ZJy/SQXf9Bj83S+keW\n",
       "5WJr01stLKcXTuRkApVd68+0kF6/irpRKQLVleY3voY5Rps90VzKyHbt/pHCQxnQYdHsY6flwg0L\n",
       "K/Cp8E2i+vC1TzcGdNtujprrLU8IeN41m8OPOxdb3Ak2zhgspgUjUOBulrVGsghfkqccTmgtvA07\n",
       "wYmOgAAAA/ttb292AAAAbG12aGQAAAAAAAAAAAAAAAAAAAPoAAAC3wABAAABAAAAAAAAAAAAAAAA\n",
       "AQAAAAAAAAAAAAAAAAAAAAEAAAAAAAAAAAAAAAAAAEAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA\n",
       "AAAAAAACAAADJXRyYWsAAABcdGtoZAAAAAMAAAAAAAAAAAAAAAEAAAAAAAAC3wAAAAAAAAAAAAAA\n",
       "AAAAAAAAAQAAAAAAAAAAAAAAAAAAAAEAAAAAAAAAAAAAAAAAAEAAAAAC7gAAAlgAAAAAACRlZHRz\n",
       "AAAAHGVsc3QAAAAAAAAAAQAAAt8AAAOAAAEAAAAAAp1tZGlhAAAAIG1kaGQAAAAAAAAAAAAAAAAA\n",
       "ADIAAAAkwFXEAAAAAAAtaGRscgAAAAAAAAAAdmlkZQAAAAAAAAAAAAAAAFZpZGVvSGFuZGxlcgAA\n",
       "AAJIbWluZgAAABR2bWhkAAAAAQAAAAAAAAAAAAAAJGRpbmYAAAAcZHJlZgAAAAAAAAABAAAADHVy\n",
       "bCAAAAABAAACCHN0YmwAAAC0c3RzZAAAAAAAAAABAAAApGF2YzEAAAAAAAAAAQAAAAAAAAAAAAAA\n",
       "AAAAAAAC7gJYAEgAAABIAAAAAAAAAAEAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAY\n",
       "//8AAAAyYXZjQwFkAB//4QAZZ2QAH6zZQLwTepYQAAADAHAAABkA8YMZYAEABmjr48siwAAAABx1\n",
       "dWlka2hA8l8kT8W6OaUbzwMj8wAAAAAAAAAYc3R0cwAAAAAAAAABAAAAFQAAAcAAAAAUc3RzcwAA\n",
       "AAAAAAABAAAAAQAAAIhjdHRzAAAAAAAAAA8AAAABAAADgAAAAAEAAAVAAAAAAQAAAcAAAAADAAAD\n",
       "gAAAAAEAAAVAAAAAAQAAAcAAAAAEAAADgAAAAAEAAAcAAAAAAgAAAcAAAAABAAAFQAAAAAEAAAHA\n",
       "AAAAAQAAA4AAAAABAAAFQAAAAAEAAAHAAAAAAQAAA4AAAAAcc3RzYwAAAAAAAAABAAAAAQAAABUA\n",
       "AAABAAAAaHN0c3oAAAAAAAAAAAAAABUAACY6AAALgQAAAx4AAAUpAAADAgAAAzoAAAMHAAACRwAA\n",
       "AroAAAOiAAADZQAABCcAAAWCAAAC9AAAAmsAAAWdAAAC7gAABacAAAWEAAACggAABDIAAAAUc3Rj\n",
       "bwAAAAAAAAABAAAALAAAAGJ1ZHRhAAAAWm1ldGEAAAAAAAAAIWhkbHIAAAAAAAAAAG1kaXJhcHBs\n",
       "AAAAAAAAAAAAAAAALWlsc3QAAAAlqXRvbwAAAB1kYXRhAAAAAQAAAABMYXZmNTcuNTYuMTAx\n",
       "\">\n",
       "  Your browser does not support the video tag.\n",
       "</video>"
      ],
      "text/plain": [
       "<matplotlib.animation.ArtistAnimation at 0x11626af28>"
      ]
     },
     "execution_count": 72,
     "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 0 334.545312 252.317344\" width=\"334.545312pt\" 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 334.545312 252.317344 \n",
       "L 334.545312 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 44.845313 228.439219 \n",
       "L 323.845312 228.439219 \n",
       "L 323.845312 10.999219 \n",
       "L 44.845313 10.999219 \n",
       "z\n",
       "\" style=\"fill:#ffffff;\"/>\n",
       "   </g>\n",
       "   <g id=\"matplotlib.axis_1\">\n",
       "    <g id=\"xtick_1\">\n",
       "     <g id=\"line2d_1\">\n",
       "      <path clip-path=\"url(#pf82126354c)\" d=\"M 57.527131 228.439219 \n",
       "L 57.527131 10.999219 \n",
       "\" style=\"fill:none;stroke:#b0b0b0;stroke-linecap:square;stroke-width:0.8;\"/>\n",
       "     </g>\n",
       "     <g id=\"line2d_2\">\n",
       "      <defs>\n",
       "       <path d=\"M 0 0 \n",
       "L 0 3.5 \n",
       "\" id=\"mbb5e020a5d\" style=\"stroke:#000000;stroke-width:0.8;\"/>\n",
       "      </defs>\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"57.527131\" xlink:href=\"#mbb5e020a5d\" 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(49.575568 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_3\">\n",
       "      <path clip-path=\"url(#pf82126354c)\" d=\"M 108.254403 228.439219 \n",
       "L 108.254403 10.999219 \n",
       "\" style=\"fill:none;stroke:#b0b0b0;stroke-linecap:square;stroke-width:0.8;\"/>\n",
       "     </g>\n",
       "     <g id=\"line2d_4\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"108.254403\" xlink:href=\"#mbb5e020a5d\" 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(100.302841 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_5\">\n",
       "      <path clip-path=\"url(#pf82126354c)\" d=\"M 158.981676 228.439219 \n",
       "L 158.981676 10.999219 \n",
       "\" style=\"fill:none;stroke:#b0b0b0;stroke-linecap:square;stroke-width:0.8;\"/>\n",
       "     </g>\n",
       "     <g id=\"line2d_6\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"158.981676\" xlink:href=\"#mbb5e020a5d\" 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(151.030114 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_7\">\n",
       "      <path clip-path=\"url(#pf82126354c)\" d=\"M 209.708949 228.439219 \n",
       "L 209.708949 10.999219 \n",
       "\" style=\"fill:none;stroke:#b0b0b0;stroke-linecap:square;stroke-width:0.8;\"/>\n",
       "     </g>\n",
       "     <g id=\"line2d_8\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"209.708949\" xlink:href=\"#mbb5e020a5d\" 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(201.757386 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_9\">\n",
       "      <path clip-path=\"url(#pf82126354c)\" d=\"M 260.436222 228.439219 \n",
       "L 260.436222 10.999219 \n",
       "\" style=\"fill:none;stroke:#b0b0b0;stroke-linecap:square;stroke-width:0.8;\"/>\n",
       "     </g>\n",
       "     <g id=\"line2d_10\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"260.436222\" xlink:href=\"#mbb5e020a5d\" 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(252.484659 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_11\">\n",
       "      <path clip-path=\"url(#pf82126354c)\" d=\"M 311.163494 228.439219 \n",
       "L 311.163494 10.999219 \n",
       "\" style=\"fill:none;stroke:#b0b0b0;stroke-linecap:square;stroke-width:0.8;\"/>\n",
       "     </g>\n",
       "     <g id=\"line2d_12\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"311.163494\" xlink:href=\"#mbb5e020a5d\" 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(303.211932 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_13\">\n",
       "      <path clip-path=\"url(#pf82126354c)\" d=\"M 44.845313 228.439219 \n",
       "L 323.845312 228.439219 \n",
       "\" style=\"fill:none;stroke:#b0b0b0;stroke-linecap:square;stroke-width:0.8;\"/>\n",
       "     </g>\n",
       "     <g id=\"line2d_14\">\n",
       "      <defs>\n",
       "       <path d=\"M 0 0 \n",
       "L -3.5 0 \n",
       "\" id=\"m45ff6adf4d\" style=\"stroke:#000000;stroke-width:0.8;\"/>\n",
       "      </defs>\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"44.845313\" xlink:href=\"#m45ff6adf4d\" y=\"228.439219\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_7\">\n",
       "      <!-- −1.00 -->\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(7.2 232.238437)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",
       "       <use x=\"242.822266\" xlink:href=\"#DejaVuSans-30\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_2\">\n",
       "     <g id=\"line2d_15\">\n",
       "      <path clip-path=\"url(#pf82126354c)\" d=\"M 44.845313 201.259219 \n",
       "L 323.845312 201.259219 \n",
       "\" style=\"fill:none;stroke:#b0b0b0;stroke-linecap:square;stroke-width:0.8;\"/>\n",
       "     </g>\n",
       "     <g id=\"line2d_16\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"44.845313\" xlink:href=\"#m45ff6adf4d\" y=\"201.259219\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_8\">\n",
       "      <!-- −0.75 -->\n",
       "      <defs>\n",
       "       <path d=\"M 8.203125 72.90625 \n",
       "L 55.078125 72.90625 \n",
       "L 55.078125 68.703125 \n",
       "L 28.609375 0 \n",
       "L 18.3125 0 \n",
       "L 43.21875 64.59375 \n",
       "L 8.203125 64.59375 \n",
       "z\n",
       "\" id=\"DejaVuSans-37\"/>\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(7.2 205.058437)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-37\"/>\n",
       "       <use x=\"242.822266\" xlink:href=\"#DejaVuSans-35\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_3\">\n",
       "     <g id=\"line2d_17\">\n",
       "      <path clip-path=\"url(#pf82126354c)\" d=\"M 44.845313 174.079219 \n",
       "L 323.845312 174.079219 \n",
       "\" style=\"fill:none;stroke:#b0b0b0;stroke-linecap:square;stroke-width:0.8;\"/>\n",
       "     </g>\n",
       "     <g id=\"line2d_18\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"44.845313\" xlink:href=\"#m45ff6adf4d\" y=\"174.079219\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_9\">\n",
       "      <!-- −0.50 -->\n",
       "      <g transform=\"translate(7.2 177.878437)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",
       "       <use x=\"242.822266\" xlink:href=\"#DejaVuSans-30\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_4\">\n",
       "     <g id=\"line2d_19\">\n",
       "      <path clip-path=\"url(#pf82126354c)\" d=\"M 44.845313 146.899219 \n",
       "L 323.845312 146.899219 \n",
       "\" style=\"fill:none;stroke:#b0b0b0;stroke-linecap:square;stroke-width:0.8;\"/>\n",
       "     </g>\n",
       "     <g id=\"line2d_20\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"44.845313\" xlink:href=\"#m45ff6adf4d\" y=\"146.899219\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_10\">\n",
       "      <!-- −0.25 -->\n",
       "      <g transform=\"translate(7.2 150.698437)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-32\"/>\n",
       "       <use x=\"242.822266\" xlink:href=\"#DejaVuSans-35\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_5\">\n",
       "     <g id=\"line2d_21\">\n",
       "      <path clip-path=\"url(#pf82126354c)\" d=\"M 44.845313 119.719219 \n",
       "L 323.845312 119.719219 \n",
       "\" style=\"fill:none;stroke:#b0b0b0;stroke-linecap:square;stroke-width:0.8;\"/>\n",
       "     </g>\n",
       "     <g id=\"line2d_22\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"44.845313\" xlink:href=\"#m45ff6adf4d\" y=\"119.719219\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_11\">\n",
       "      <!-- 0.00 -->\n",
       "      <g transform=\"translate(15.579688 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-30\"/>\n",
       "       <use x=\"159.033203\" xlink:href=\"#DejaVuSans-30\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_6\">\n",
       "     <g id=\"line2d_23\">\n",
       "      <path clip-path=\"url(#pf82126354c)\" d=\"M 44.845313 92.539219 \n",
       "L 323.845312 92.539219 \n",
       "\" style=\"fill:none;stroke:#b0b0b0;stroke-linecap:square;stroke-width:0.8;\"/>\n",
       "     </g>\n",
       "     <g id=\"line2d_24\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"44.845313\" xlink:href=\"#m45ff6adf4d\" y=\"92.539219\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_12\">\n",
       "      <!-- 0.25 -->\n",
       "      <g transform=\"translate(15.579688 96.338437)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",
       "       <use x=\"159.033203\" xlink:href=\"#DejaVuSans-35\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_7\">\n",
       "     <g id=\"line2d_25\">\n",
       "      <path clip-path=\"url(#pf82126354c)\" d=\"M 44.845313 65.359219 \n",
       "L 323.845312 65.359219 \n",
       "\" style=\"fill:none;stroke:#b0b0b0;stroke-linecap:square;stroke-width:0.8;\"/>\n",
       "     </g>\n",
       "     <g id=\"line2d_26\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"44.845313\" xlink:href=\"#m45ff6adf4d\" y=\"65.359219\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_13\">\n",
       "      <!-- 0.50 -->\n",
       "      <g transform=\"translate(15.579688 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-35\"/>\n",
       "       <use x=\"159.033203\" xlink:href=\"#DejaVuSans-30\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_8\">\n",
       "     <g id=\"line2d_27\">\n",
       "      <path clip-path=\"url(#pf82126354c)\" d=\"M 44.845313 38.179219 \n",
       "L 323.845312 38.179219 \n",
       "\" style=\"fill:none;stroke:#b0b0b0;stroke-linecap:square;stroke-width:0.8;\"/>\n",
       "     </g>\n",
       "     <g id=\"line2d_28\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"44.845313\" xlink:href=\"#m45ff6adf4d\" y=\"38.179219\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_14\">\n",
       "      <!-- 0.75 -->\n",
       "      <g transform=\"translate(15.579688 41.978437)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-37\"/>\n",
       "       <use x=\"159.033203\" xlink:href=\"#DejaVuSans-35\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_9\">\n",
       "     <g id=\"line2d_29\">\n",
       "      <path clip-path=\"url(#pf82126354c)\" d=\"M 44.845313 10.999219 \n",
       "L 323.845312 10.999219 \n",
       "\" style=\"fill:none;stroke:#b0b0b0;stroke-linecap:square;stroke-width:0.8;\"/>\n",
       "     </g>\n",
       "     <g id=\"line2d_30\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"44.845313\" xlink:href=\"#m45ff6adf4d\" y=\"10.999219\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_15\">\n",
       "      <!-- 1.00 -->\n",
       "      <g transform=\"translate(15.579688 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",
       "       <use x=\"159.033203\" xlink:href=\"#DejaVuSans-30\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"line2d_31\">\n",
       "    <path clip-path=\"url(#pf82126354c)\" d=\"M 57.527131 119.719219 \n",
       "L 63.86804 102.711664 \n",
       "L 70.208949 86.122891 \n",
       "L 76.549858 70.361372 \n",
       "L 82.890767 55.815206 \n",
       "L 89.231676 42.842569 \n",
       "L 95.572585 31.762891 \n",
       "L 101.913494 22.848989 \n",
       "L 108.254403 16.320354 \n",
       "L 114.595313 12.337742 \n",
       "L 120.936222 10.999219 \n",
       "L 127.277131 12.337742 \n",
       "L 133.61804 16.320354 \n",
       "L 139.958949 22.848989 \n",
       "L 146.299858 31.762891 \n",
       "L 152.640767 42.842569 \n",
       "L 158.981676 55.815206 \n",
       "L 165.322585 70.361372 \n",
       "L 171.663494 86.122891 \n",
       "L 178.004403 102.711664 \n",
       "L 184.345313 119.719219 \n",
       "L 190.686222 136.726774 \n",
       "L 197.027131 153.315546 \n",
       "L 203.36804 169.077066 \n",
       "L 209.708949 183.623231 \n",
       "L 216.049858 196.595868 \n",
       "L 222.390767 207.675546 \n",
       "L 228.731676 216.589448 \n",
       "L 235.072585 223.118083 \n",
       "L 241.413494 227.100695 \n",
       "L 247.754403 228.439219 \n",
       "L 254.095313 227.100695 \n",
       "L 260.436222 223.118083 \n",
       "L 266.777131 216.589448 \n",
       "L 273.11804 207.675546 \n",
       "L 279.458949 196.595868 \n",
       "L 285.799858 183.623231 \n",
       "L 292.140767 169.077066 \n",
       "L 298.481676 153.315546 \n",
       "L 304.822585 136.726774 \n",
       "L 311.163494 119.719219 \n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-width:1.5;\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_3\">\n",
       "    <path d=\"M 44.845313 228.439219 \n",
       "L 44.845313 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 323.845312 228.439219 \n",
       "L 323.845312 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 44.845313 228.439219 \n",
       "L 323.845312 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 44.845313 10.999219 \n",
       "L 323.845312 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=\"pf82126354c\">\n",
       "   <rect height=\"217.44\" width=\"279\" x=\"44.845313\" y=\"10.999219\"/>\n",
       "  </clipPath>\n",
       " </defs>\n",
       "</svg>\n"
      ],
      "text/plain": [
       "<Figure size 750x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "ims = []\n",
    "fig = plt.figure(figsize=[5,4],dpi = 150)\n",
    "plt.grid()\n",
    "\n",
    "i = 0\n",
    "for solution in sol:\n",
    "    if (i%2==0):        \n",
    "        im = plt.plot(x,solution,'k-',animated=True)\n",
    "        plt.ylim(-1,1)\n",
    "        ims.append(im)\n",
    "    i+=1\n",
    "ani = animation.ArtistAnimation(fig, ims, interval=35, blit=True,\n",
    "                                repeat_delay=1000)\n",
    "# ani.save('ftus.mp4')   \n",
    "ani"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 73,
   "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": 73,
     "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"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "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
}