detect_circles.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Populating the interactive namespace from numpy and matplotlib\n"
     ]
    }
   ],
   "source": [
    "%pylab inline"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 38,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.image.AxesImage at 0x108a76610>"
      ]
     },
     "execution_count": 38,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": [
       "iVBORw0KGgoAAAANSUhEUgAAAzwAAAJOCAYAAAByawKQAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\n",
       "AAALEgAACxIB0t1+/AAAIABJREFUeJzs3VlwZNd95/nfzX3DktiBxFYAgSrUyiouEkWRLFGlXbbs\n",
       "mB7bPT0Oudsdmgh7whPTL7bDEbbUi6P7xTFPHdEP7rFiosNutR12uG3LksZqhsaSTUkUSZGqKtaK\n",
       "HYU9kZnIHXnnoeoc3sxCsUpkLeDl9xOBQCKRmffezJJ4fvif8z+O67oCAAAAAD8KPOoTAAAAAIAH\n",
       "hcADAAAAwLcIPAAAAAB8i8ADAAAAwLcIPAAAAAB8i8ADAAAAwLceSOBxHOfTjuNcdBznsuM4v/kg\n",
       "jgEAAAAAd+Pc7314HMcJSnpL0jlJS5J+IOmfuq574b4eCAAAAADu4kFUeJ6WdMV13VnXdWuS/kTS\n",
       "Fx7AcQAAAADgHT2IwJORtOD5efHWfQAAAADwUIUewGvedY6c4zj3dx4dAAAAgA8013Wd/e5/EBWe\n",
       "JUkjnp9HdLPK0+T3fu/35LouXwfoi8/kYH3xeRy8Lz6Tg/fFZ3LwvvhMDt4Xn8nB++Izuf9f7+RB\n",
       "BJ4fSppyHGfccZyIpF+U9JcP4DgAAAAA8I7u+5Q213XrjuP875K+ISko6Q9dOrQBAAAAeAQexBoe\n",
       "ua77dUlff6fHnD179kEcGu8Bn8nBwudx8PCZHDx8JgcPn8nBw2dy8PCZPFz3fR+eezqo47iP4rgA\n",
       "AAAA/MdxHLkPsWkBAAAAABwIBB4AAAAAvkXgAQAAAOBbBB4AAAAAvkXgAQAAAOBbBB4AAAAAvkXg\n",
       "AQAAAOBbBB4AAAAAvkXgAQAAAOBbBB4AAAAAvkXgAQAAAOBbBB4AAAAAvkXgAQAAAOBbBB4AAAAA\n",
       "vkXgAQAAAOBbBB4AAAAAvkXgAQAAAOBbBJ73Mdd1tbe3J0lqNBqq1+tyXVe1Wu0RnxkAAAD2Y8Zu\n",
       "0s3xGx680KM+Abw7jUZDgUBAjuOoXq9Lkv05GAzKdd1HfIYAAACQboacUCiker0ux3Hkuq4cx5Hj\n",
       "OI/61D4QCDzvUybomP+xBAI3i3WlUknRaJT/AQEAABwQZpxm/ji9t7enQCBg78eDReB5nzIhxwQb\n",
       "M70tHA7bnwEAAPDoBQIB7e7uKpFIaG9vr2mcZsIPf6x+cAg872PevxCYSs/y8rL+zb/5N1pbW3vU\n",
       "pwcAAADdHLMNDw/rK1/5itLptCTZddfBYJCw84A5j6IS4DiOSwXi3XNdV41GQ8Fg0C52q9frCofD\n",
       "mpub04svvqjr168/4rMEAACAMTIyou9+97vq7e1VNBqVdHP8FgqFCDz3wa21Ufu+kUwcfB8y1ZxG\n",
       "o6FGo2EbFRjVavURnh0AAAC8AoGAbThlxmyEnIeHwPM+5Z3Gtre3ZzuzedfxAAAA4NFzXVfBYNB2\n",
       "a2s0GvY+gs+DR+B5n2td5BYOh2lYAAAAcIC4rivXdZvGbbSlfngIPO9z3pbUkhQMBu2+PAAAADgY\n",
       "TEVHYjrbw0bgAQAAAOBbBB4AAAAAvkXgAQAAAOBbBB4AAAAAvkXgAQAAAOBbBB4AAAAAvkXgAQAA\n",
       "AOBbBB4AAAAAvkXgAQAAAOBbBB4AAAAAvkXgAQAAAOBbBB4AAAAAvkXgAQAAAOBbBB4AAAAAvkXg\n",
       "AQAAAOBbBB4AAAAAvkXgAQAAAOBbBB4AAAAAvkXgAQAAAOBbBB4AAAAAvkXgAQAAAOBbBB4AAAAA\n",
       "vkXgAQAAAOBbBB4AAAAAvkXgAQAAAOBbBB4AAAAAvkXgAQAAAOBbBB4AAAAAvkXgAQAAAOBbBB4A\n",
       "AAAAvkXgAQAAAOBbBB4AAAAAvkXgAQAAAOBbBB4AAAAAvkXgAQAAAOBbBB4AAAAAvkXgAQAAAOBb\n",
       "BB4AAAAAvkXgAQAAAOBbBB4AAAAAvkXgAQAAAOBbBB4AAAAAvkXgAQAAAOBbBB4AAAAAvkXgAQAA\n",
       "AOBbBB4AAAAAvkXgAQAAAOBbBB4AAAAAvkXgAQAAAOBbBB4AAAAAvkXgAQAAAOBbBB4AAAAAvkXg\n",
       "AQAAAOBbBB4AAAAAvkXgAQAAAOBbBB4AAAAAvkXgAQAAAOBbBB4AAAAAvkXgAQAAAOBbBB4AAAAA\n",
       "vkXgAQAAAOBbBB4AAAAAvkXgAQAAAOBbBB4AAAAAvnXXwOM4zn92HGfVcZw3PPd1OY7zLcdxLjmO\n",
       "803HcTo9v/ttx3EuO45z0XGcTz6oEwcAAACAu7mXCs//LenTLff9lqRvua47Lenvbv0sx3GOSvpF\n",
       "SUdvPec/Oo5DFQkAAADAI3HXMOK67v8nabvl7p+V9NVbt78q6edu3f6CpD92Xbfmuu6spCuSnr4/\n",
       "pwoAAAAAP513W33pd1139dbtVUn9t24PSVr0PG5RUuZdHgMAAAAA3pPQe30B13Vdx3Hcd3rIfnd+\n",
       "+ctftrfPnj2rs2fPvtdTAQAAAPAB8NJLL+mll166p8e+28Cz6jjOgOu6NxzHGZS0duv+JUkjnscN\n",
       "37rvNt7AAwAAAAD3qrVg8pWvfOWOj323U9r+UtIXb93+oqS/8Nz/S47jRBzHOSRpStL33+UxAAAA\n",
       "AOA9uWuFx3GcP5b0gqQex3EWJP2upH8v6WuO4/yqpFlJvyBJruuedxzna5LOS6pL+jXXdd9puhsA\n",
       "AAAAPDB3DTyu6/7TO/zq3B0e//uSfv+9nBQAAAAA3A/skQMAAADAtwg8AAAAAHyLwAMAAADAtwg8\n",
       "AAAAAHyLwAMAAADAtwg8AAAAAHyLwAMAAADAtwg8AAAAAHyLwAMAAADAtwg8AAAAAHyLwAMAAADA\n",
       "twg8AAAAAHyLwAMAAADAtwg8AAAAAHyLwAMAAADAtwg8AAAAAHyLwAMAAADAtwg8AAAAAHyLwAMA\n",
       "AADAtwg8AAAAAHyLwAMAAADAtwg8AAAAAHyLwAMAAADAtwg8AAAAAHyLwAMAAADAtwg8AAAAAHyL\n",
       "wAMAAADAtwg8AAAAAHyLwAMAAADAtwg8AAAAAHyLwAMAAADAtwg8AAAAAHyLwAMAAADAtwg8AAAA\n",
       "AHyLwAMAAADAtwg8AAAAAHyLwAMAAADAtwg8AAAAAHyLwAMAAADAtwg8AAAAAHyLwAMAAADAtwg8\n",
       "AAAAAHyLwAMAAADAtwg8AAAAAHyLwAMAAADAtwg8AAAAAHyLwAMAAADAtwg8AAAAAHyLwAMAAADA\n",
       "twg8AAAAAHyLwAMAAADAtwg8AAAAAHyLwAMAAADAtwg8AAAAAHyLwAMAAADAtwg8AAAAAHyLwAMA\n",
       "AADAtwg8AAAAAHyLwAMAAADAtwg8AAAAAHyLwAMAAADAtwg8AAAAAHyLwAMAAADAtwg8AAAAAHyL\n",
       "wAMAAADAtwg8AAAAAHyLwAMAAADAtwg8AAAAAHyLwAMAAADAtwg8AAAAAHyLwAMAAADAtwg8AAAA\n",
       "AHyLwAMAAADAtwg8AAAAAHyLwAMAAADAtwg8AAAAAHyLwAMAAADAtwg8AAAAAHyLwAMAAADAtwg8\n",
       "AAAAAHyLwAMAAADAtwg8AAAAAHyLwAMAAADAtwg8AAAAAHyLwAMAAADAtwg8AAAAAHyLwAMAAADA\n",
       "twg8AAAAAHyLwAMAAADAtwg8AAAAAHyLwAMAAADAtwg8AAAAAHzrroHHcZwRx3H+h+M4P3Ec503H\n",
       "cX7j1v1djuN8y3GcS47jfNNxnE7Pc37bcZzLjuNcdBznkw/yAgAAAADgTu6lwlOT9H+6rntM0ocl\n",
       "/brjODOSfkvSt1zXnZb0d7d+luM4RyX9oqSjkj4t6T86jkMlCQAAAMBDd9cg4rruDdd1X7t1uyDp\n",
       "gqSMpJ+V9NVbD/uqpJ+7dfsLkv7Ydd2a67qzkq5Ievo+nzcAAAAA3NVPVXlxHGdc0mlJL0vqd113\n",
       "9davViX137o9JGnR87RF3QxIAAAAAPBQhe71gY7jpCT9maT/w3XdvOM49neu67qO47jv8PTbfvfl\n",
       "L3/Z3j579qzOnj17r6cCAAAA4APspZde0ksvvXRPj72nwOM4Tlg3w87/47ruX9y6e9VxnAHXdW84\n",
       "jjMoae3W/UuSRjxPH751XxNv4AEAAACAe9VaMPnKV75yx8feS5c2R9IfSjrvuu7/5fnVX0r64q3b\n",
       "X5T0F577f8lxnIjjOIckTUn6/k9x/gAAAABwX9xLhedZSf+rpB87jvPqrft+W9K/l/Q1x3F+VdKs\n",
       "pF+QJNd1zzuO8zVJ5yXVJf2a67rvNN0NAAAAAB6IuwYe13X/XneuBJ27w3N+X9Lvv4fzAgAAAID3\n",
       "jP1xAAAAAPgWgQcAAACAbxF4AAC38W49sN/Pd7rvQZzHnY5zr8ff71re6XUBAP5yz/vwAAA+OLy9\n",
       "ZrwBwXVd+7v9+tF4g4R5fKPRkCQFAoGm55nHeV9vvxCy37ns97vW8zC/b30MfXQA4IOFwAMAH1De\n",
       "UNBa9fCGEG9AMI8Nh8NyHEd7e3vvGDpM2Gl9TfN773PD4bAikYhCobf/0xQKhW57/Xq9rmq1qlqt\n",
       "plAopEaj0XQc7zGCweA7BqrW5wEA/IfAAwAfUK1BpvU+IxgMKhKJKBwOKxQK2a9gMKhgMHhbxaXR\n",
       "aNjvtVpN9XrdBiMTOoLBoH29YDCoaDSqVCqlZDKpeDyuYDAo6Wa48VaJXNdVpVLR7u6uKpWKisWi\n",
       "qtWqyuWyqtWq9vb2mo5/p+sEAHxwEHgA4APKVHT2q8KYMBMOh5VMJtXe3q5kMqlEImG/x2IxBQKB\n",
       "phDknfZWr9dVKpVUqVRsGHFdV4FAQOFwWNFo1AactrY2tbW1KZlMKhaL2QpSo9FoquhUq1WVSiXl\n",
       "83kVi0UVCgUVCgVls1nt7Oxod3dXxWLRHleSarWavUZvOGutMAEA/InAAwAfYGbAb4KLCSOJRELt\n",
       "7e3q7u5WT0+P+vv71d3drY6ODqXTaaXTaSWTSYXDYTsVLRKJ2MqM67ra29uz1ZdKpWIDj+M49vHx\n",
       "eFyxWKypshMIBBQIBGwgMa9RKpVUKpVULBa1u7urcrmsYrGofD6vjY0Nra+va2trS5ubm9rY2FAu\n",
       "l1OxWFSxWFS5XG6q/DCVDQA+OAg8APABZcJOKBSyVZy2tjZ1dXWpv79fQ0NDGhkZUSaT0ejoqHp7\n",
       "exWPx5vCjQkn5nbrGiATLrxTzSQ1TYcz09pMUwPv+bWGlL29PTtFrtFoaGdnR4VCQTs7O9rZ2VE2\n",
       "m9Xq6qqWl5e1sbGhGzduaHNzU9vb2zb4FIvFfZsZAAD8icADAB9QZt1MW1ub+vv7lclklMlkdOjQ\n",
       "IU1NTWlkZERdXV2Kx+NKpVKKRCL2ud6Oa3dr72we0xowzH1m6lrrazmOY4/jbWTg1d7ernq9rnq9\n",
       "rlqtpnK5rI2NDS0tLdngc+PGDa2srNjgs7GxoUKhoHq9rnK5rL29vXf1/gEA3h8IPADgU63VFtMs\n",
       "IBqNKpFIqKurS0NDQxoeHtbhw4c1MzOj8fFx9fb2qqOjQ4lE4ragYYKJt7Ob9xje47b+/E7B6N3u\n",
       "tWOm03nPr6urSyMjIyoWi1pcXNTKyopmZ2e1vLyszc1NbW1taX19Xdvb29ra2lKhUGhaY3SnLnJ3\n",
       "Oi8qRQBwsBF4AMBHvPvlSGpqEhCLxZRKpdTX16ehoSGNj49renpao6OjmpycVCaTUVtbm8LhsH3u\n",
       "3t5eU8vqQCBwx/13vMc0wcgEJnNfa/hp3bOndY+e/Zjz8r6+t0IUj8cVj8eVTqfV0dGhQ4cO6fDh\n",
       "w1paWtLCwoKWlpa0tLRkw8+NGze0vr6uYrGoWq3W9Pqt59La4pqwAwAHH4EHAHyidQ2MdLMCYgb/\n",
       "/f39Ghsb0/T0tKanpzUxMaGRkRHbHS0Sich1XdVqNRtuvK/ZWvlobftsgoFpR12pVJTL5exUs3K5\n",
       "3NQxzTuFzawDMsEsGo0qFArZjm2mLbZZ92OC150ClHn9RCKhRCKhdDqtTCajmZkZra6u6urVq5qb\n",
       "m9Pi4qK6u7u1tramzc1Nra+vK5/P2+vYb6pd6/sBADjYCDwA4APeYGKmrsXjcXV2dqqvr0+HDh3S\n",
       "zMyMZmZmNDU1paGhIXV0dNjW0t7Q4m0+0Gg0mjqvGaYKEggEtLu7q52dHeXzeRUKBft9d3dXhULB\n",
       "7ptTLpdVr9ebOqR520V7p9uZ5gixWEyxWMy2wU4kEkqlUkqlUorH4+ro6LANEPYLfN77zHN7e3s1\n",
       "NDSko0eP6vLly5qfn7eVn4WFBa2vr9vrKZfLt03hI+gAwPsLgQcA3qf2qzoEg0HbUrq/v1+jo6N6\n",
       "7LHHdOrUKc3MzCiTyai9vV2RSKQp1JjX81ZPWisbpnJTKpW0s7Oj7e1tZbNZZbNZbWxsKJvNKp/P\n",
       "a3d31wacvb09W+0x08W8a38k3bYhaSgUspuSxmIx2xXOBKDOzk51d3fbazRBxoSiaDRqg1y9Xm+q\n",
       "CpmW2H19fbbqdePGDc3OztqvxcVFLS4uamlpSTs7O02Vqda1SoQfADj4CDwA8D7n3dumvb1dQ0ND\n",
       "durazMyMpqendejQIXV3dysajdqAsV/48FZfzP2lUkm5XE7ZbFZbW1u23fPGxoa2t7dtJcds9ukN\n",
       "OKaVdK1Wa2pNbb5MBcbb3trbstoEINO62oQgMw2vvb1dqVTK7g1k9gnq6+tTR0eHUqmUfX1vsAsE\n",
       "AopEIurp6VF7e7sGBwf12GOP6dq1a7p06ZIuX76strY2LSwsaHNzUzs7O3Yj09b3h9ADAAcbgQcA\n",
       "3qe8e9qYZgRjY2OamZnRkSNHdOzYMU1OTqqzs1OJREKO4zQ1IfA2EthvrU4+n9fCwoI2Njbsvjbb\n",
       "29va3t7Wzs6Odnd3VSwWVa1WbcAxX9Vq1baK9q738R7D3L/fXj7eNTneio8JPZFIxAahaDSqtrY2\n",
       "tbe3q729Xel0WoODg/b96O3tVTqdttdo2lCbY4VCIXV1dam9vV29vb0aHh7W0NCQ7VY3NzenpaUl\n",
       "bW1t2eBGyAGA9w8CDwC8T5kKSDKZ1MjIiI4cOaITJ07o5MmTOnLkiIaGhpRKpW6bouYNPK2tpcvl\n",
       "sjY3N7W6uqqlpSVdvXpVa2tr2tjYsNPUzAae1WpVpVLJBptarWY3BTXVnNY21ua8TQAygcsburzn\n",
       "4636mMDjrQBFo1EFg8Hb1vuYis/g4KD6+/s1PDysvr4+9fb2qq2tzT7fe7xIJKKuri4lEgl1dHTY\n",
       "554/f16JREJzc3PKZrM25BF6AOD9gcADAAeUN5i0Dq7NlKzOzk4NDw/ryJEjevLJJ/XEE09ocnJS\n",
       "6XRa0WhUUnMXNW+YMLer1aoKhYI2Nze1vLxs96zZ2NjQ2tqaCoWCbT5gvkwFx+xf0xpyvN3NWhf7\n",
       "m2lu3oYI5vxatYYeUw0yj/UGHlPxiUQi2tzcVDwe19zcnBKJhHp6epTJZDQyMqJMJqPBwUH19vba\n",
       "tT7ecwiFQuru7lZHR4e6u7s1MDCgdDqtZDKpa9eu2U5ulUrltmYP3nU+THkDgIOBwAMAB5i3OmIG\n",
       "5q7rKhKJqLe3V4cOHdKxY8d05swZnTlzRpOTk0qlUnfc/NMbdEqlkra2trS2tqbFxUUtLy9reXlZ\n",
       "a2tryuVyKhQKyuVyqlQqtq10tVq1lRxvuGldm+P92VuVab2u1p/vFg5a9/OpVCo25JhAZH4Oh8PK\n",
       "ZrMKhUK6ceOGFhcXdenSJfX09GhsbEzj4+MaHBxUT0+POjs7FQ6Hm9pkJxIJjY+PK5VKqa2tzTZG\n",
       "uHjxon0fvc0M7tS+GgDwaBF4AOCAutPgPxqNKp1Oa2JiQqdPn9ZTTz2lkydPamxszC7S3y88mMF4\n",
       "sVjUxsaGVlZWND8/b9syZ7NZ7e7uKp/PK5/PNzUhMBWd/ao43tut9qvwtO7ns985mvu9a3r2C0X1\n",
       "er0pBJlgGA6HFQ6HValU5DiO8vm8crmc1tfXbfvpixcv2g1Yx8bGbFXHVH1M2+2uri4dP37crhMy\n",
       "v19aWlKhUFC1Wr2tonUv4Q0A8HAQeADggGpt3dxoNGxnsccee0ynT5/WM888o9OnT2tgYMBOYTNr\n",
       "ZLxd0BqNhnZ3d7W5uamVlRXNzs5qfn7ers/Z3t62a3PMHjqm4YB3ulpraGkNPK1rcfZbJ2Qefy/X\n",
       "bp7v/e59T7zX573PHKdarUqSQqGQyuWyotGoDT8bGxtaWlrS9evX1d/fr5GREU1NTdngGAwGVavV\n",
       "JEnJZFLj4+MKh8N2U1RJWlhY2Pe98VZ7CD4A8GgReADgfSAQCNjKztTUlJ588kl99KMf1cmTJzUw\n",
       "MKBIJNI04PYO+svlsra2tjQ7O6urV69qaWnJtpXO5/MqFos27Jgv04nMhBPT2czYb11Q623v4yTZ\n",
       "RgGhUMgGBBMoWh/rve9OU8X228vH3Paet+u6TWuOzDUWCgVtb2/b4LO0tKT19XWtrKxodHRUmUxG\n",
       "kUikqelDOp3WiRMn7OcRDoc1Pz9v21YTbgDg4CHwAMAB5R08h8NhdXV12bDzkY98RI8//rgGBgYU\n",
       "DAZvCwUmTHiDzuzsrFZWVpTNZu3eMqbTWqVSaWo+4G0w4F2j0npurQHHO4VNUlOjAdNaWro5Fc1M\n",
       "kbvTFLe7BZ3WkNPKNEXwhivzvVKp2HOKxWK2qpXNZnXt2jWNj4/r+PHjGh0dVVdXlw2Uruuqra1N\n",
       "U1NTCofDtnnEtWvXtLGxoXq9fsfzAQA8GgQeADjAzKA8nU5renpaH/7wh/XMM8/o1KlT6u3ttVUT\n",
       "7xqWcrmsbDarlZUVXbt2TVevXtXCwoLW19ft/jm7u7sqlUqqVqu2xbLphua6rl0b4w0VrYHK8E5j\n",
       "83ZQM22zJdlGAmbanamGhMPh26aCtf7sPfadmgJ4mw14z6H1tWq1mgKBgA0mpqW26TxXKpW0ubmp\n",
       "bDarbDaryclJjY+P22qPeXw0GlUmk9Hjjz/edA6mm51pZgAAePQIPABwgEUiEXV3d2t6elrPPfec\n",
       "Pvaxj+nIkSPq7u5WKBRqmvLluq5yuZzm5uY0Ozur69ev6/r161pdXbVd13Z2duyUtb29PRtsTFBo\n",
       "bT7QWt3xBpvWlszmu7fNswk86UBA/6ReV9hx5Eqq7+2p7rpqBAIqS/rarWtpXQtTq9WaKkbGflPd\n",
       "vMc393s3Wm19riTbVtsEv1qtpng8rkqlolwup7W1NS0vL2tqakrDw8OKx+NqNBqq1+sKhUIaHh62\n",
       "4SYej9sudzs7O7cdCwDwaBB4AOAR8k7jar0djUbV1dWl6elpPf/88zp37pxOnDihtra2psDhuq4q\n",
       "lYo2NjZ0+fJlXbhwQYuLi1pdXdXa2pqy2axKpZLttlar1ZqmknmPbUKQCQ/ermzmmKai1Gg07Gag\n",
       "5jXMtDXHcZSW9KlyWXJdxUIhTY6MKBaLSZJtbb27u6vdYlFf3N29eb/j6M9TKXsu3rbPrd8NM3XN\n",
       "TJdrDWLedt7eZg6O49jrk2RbbZtKT6FQUKlUsp3rNjc3lclklE6n7Tokx3HU19enU6dOqbu7W1ev\n",
       "XtWVK1e0uLhopwya9U/7daQjDAHAg0fgAYBHqLUbmRmcm80vDx8+rBdeeEHnzp2zrZG9A+Vqtart\n",
       "7W0tLi7q4sWLunz5slZWVrS5uant7W0VCgW7f44ZoJtpcK3d10w4CIVCNviYComZ6uZ9DbPXjQka\n",
       "oVBIqVTq5oaojYaey2aVyWQkx1EtkdA/HD+u1K0wY/b2WVlZUTWX089vb0u6WTn6X/J5fX9qSvl8\n",
       "XuVy2TYbMOfj/TkYDKper9sA47pv7/vT2rJ6vzU/re2yzfQ+U8ExoWt3d1dbW1va3NzU+Pi4uru7\n",
       "Jd0MbrFYTOPj4xoYGNDw8LAymYzOnz9vNyk1He9aNyUl8ADAw0HgAYBHqHUQHggEFI/H1dnZqSNH\n",
       "juiFF17QJz7xCc3MzNjpVCYUlctlLSws6I033tDFixe1sLCgzc1N23bZrCcxA3/TQMAwYcY7Nc4E\n",
       "HvN7E4JMxUW6GWxisZgSiYTa2trs7XQ6re7ubiXKZY298YbCmYz+x+iopJtT81K3Fvm7rmvX9IRC\n",
       "IdUTCf1lMqloNKqOREL/ZHNTY/W6lj/9ae3t7dkW0js7OyoWi9rd3VUul1OxWLSbf3orNWYTUhNa\n",
       "vEwTA/PV2gDBfJkQZZorlMtl282uWCxqZGREPT09SiQSikajisfj6u7u1tDQkMbGxjQ0NKTXXntN\n",
       "Fy9e1NLSknZ2dlQqlW7rdkfoAYAHj8ADAI9I6xQ206BgYGBAJ0+e1Mc+9jF95CMf0fT0tOLxuB2E\n",
       "SzfDzuzsrF577TX9+Mc/1vXr17W9vW2bERSLRdt5zVs9al33YrqMSbJVCFN9MJUSIx6PK5lMqrOz\n",
       "Ux0dHerq6tLY2JgymYwGBgbU0dGhSD6vyp//uaqTk/p/+/oUyGbt8011xnvbhIpAIKBYLKaOnh5d\n",
       "PXNGn7pyRYWdHXX/+q/b6WQ7OzvK5/NaXV3VwsKCVldXbSWrWCzaYGKuIxKJ3FbZudPGoN77THgy\n",
       "j200GqrVak1fJgj19/crHo/b0BePxzU4OKje3l6l02l1dHToJz/5iebm5rSxsaHd3V37HgAAHg4C\n",
       "DwA8It4mAaFQSG1tberv79cTTzyhc+fO6bnnntPQ0JCtwJipaLlcTouLi3r99ddt2NnY2FChUFCh\n",
       "ULDrRlrX6XgH8eaY3qlgpmOaGZCb0BONRtXZ2amhoSFNTExocnJSw8PD6urqUm9vr4aGhtTZ2ana\n",
       "jRva+i//RbnJSX13fFzRCxdUqVTs63v3BqpUKrZLnDmmeWxbOi33139d43/yJwp+4xsa/9KXpFvn\n",
       "Xa/XtbW1ZZsDrK6u6vz587p69ap2dna0vb2tbDararXatNbIvN8mMJpql3eambf6ZXhDjmlWYH42\n",
       "66Ki0ag6OjoUCoUUDoeVSqWUSCQUi8UUi8UUjUbtnj1ra2vK5XK3fTYAgAeHwAMAj4iZnhYMBpVM\n",
       "JjUxMaGnn35aL7zwgj70oQ9pYGDAhgSzhiabzerixYt68803dfXqVc3Pz9subGbzUG+w2W/KlLd6\n",
       "EwqF7JQ3SbZhQSKRUDKZVHd3twYHBzU9Pa2ZmRk99thjymQy6uzstAHJcRzVV1e1+6d/qlA4rNiv\n",
       "/qqcb38ymwF+AAAgAElEQVRbpVLJVohMyDHrcEwVql6vKxqN2vtMFae6t6eef/2vtfE7v6OdP/xD\n",
       "tf3zf67ArfPt6+tTT0+PGo2GSqWSnnjiCV2/fl1ra2uam5vTtWvXtLCwoLW1NVuNMe+1CUHmffA2\n",
       "fzBa1/l4A5m38YF3L6FgMKh4PG6bGUhSb2+vpqamVCqVmqbxLS8vK5/P07oaAB4SAg8APELJZFLp\n",
       "dFpDQ0P60Ic+pHPnzun06dPq6+trqozs7e1pe3tbFy9e1I9+9CNduXJFKysrWl9fb+rC1lpJ2W9D\n",
       "UG/b5lqt1tTEIBgMKp1Oa3h4WJOTkzp69KgmJyc1NTWlnp4eG3K8r1+/cUOFP/szSVL8X/5LXX3z\n",
       "Ta2srGhnZ6dpzYy3DbYJCmbAbx63tbWlCxcuaHBwUGNjY+r+/d/Xxm/+pvJf/arav/hF6da5mtAW\n",
       "Doc1MzOjmZkZVSoVLS4uan5+3naru3LlijY2NpTNZlWpVPat6HjX7rS2xTaPMRUZUzmTZCs+lUpF\n",
       "kpRIJJRKpey1BAIBdXZ2amxsTI7jKJlMKpFIKBwOa3l5WdlsVuVymUoPADxgBB4AeERisZh6enp0\n",
       "+PBhPfHEE3r++edte2NT0ZFuDqw3Nzf1k5/8RK+//rreeust24ktl8s1VU6kt/fI2a89swk7rUEo\n",
       "FAqpvb1dw8PDOn78uI4fP66pqSlNTEw0tZrebzPS2uysdv/6r9Xz53+uy5cv6+WXX9alS5dUKpUU\n",
       "jUZvWytjePcPMuFpb29Pa2treuWVVxSJRPSFL3xBPf/hP+j60JA6fvmX5XiaELiuazcylaRwOKzJ\n",
       "yUk99thjOnPmjBYWFvTWW2/pwoUL+vGPf6y5uTnl83m7tqm1YYE3IJr30Tu9z4QdE9RMCDKhzbTo\n",
       "npycVCKRUL1eVyQS0cjIiNrb29Xd3a1kMmnfS9MBjjU9APBgEXgA4CHxBpFYLKbBwUFNTU3pySef\n",
       "1NmzZ/X444+rs7Pztn1jstmszp8/rx/+8Ie6dOmSlpeXtbm5eVu7Y+9ULVNVMVPXTOjxBqloNGqn\n",
       "Ypmgc+rUKc3MzGhoaMjumbPfdRiNRkO6dU3b29v63ve+p/Pnz6tSqaitrc1WVcLhsK0geStRlUpF\n",
       "yWRSuVzOVkECgYCWlpb07W9/W4cPH9bMzIw9lmmh4G0o4K34mGvr7OxUe3u7jh07poWFBb355pv6\n",
       "0Y9+pDfffFOzs7Pa3t5WtVq177O3Jbg3iLW+treLW7lclqSmypVpPDE2NibpZgjq7e1VT0+Penp6\n",
       "FIlE7Pof02DBrOlp/TcCALg/CDwA8AB519CYwazpxDY9Pa2nnnpKzz77rE6cOKHOzk472DXPM2Hn\n",
       "Rz/6kd566y07Fcq0nPbytp02x/ROVwuHw7ZdczAYVCqV0uDgoI4dO6YPf/jDOnHihHp7e5v23Gld\n",
       "yO+tgEjS3tqaKq+/Lue553Tx4kW99dZbajQaSiQSKhaLdi8bUxEJBAKKRqOKxWKq1+va3t5Wo9FQ\n",
       "NBpt2gMoEAioVCrpb/7mbzQ4OKjUL/2Scl/7mjr/2T+T4+kc907nZ97v4eFhDQ0N6dixY3rjjTf0\n",
       "gx/8QK+99prm5uZULBbtWqNwOGzX6YRCIRuIvOHHvLfe6o73vTZ7EzUaDY2MjKijo0OJRELBYFCJ\n",
       "RMJeV6FQaFo7lc/nbdXJfF4AgPuDwAMAD5D3L/WmstPX16epqSmdOnVKTz/9tE6cOKF0Om0Hut6w\n",
       "89Zbb+mVV17R+fPndePGDeVyOVvZkW5fh2LuM9PUvINnM0BPJpPq6+vTiRMn9Nxzz+nkyZMaGhpq\n",
       "muZ2p8DTem2Vy5e1+9d/Lec//Sd974/+SJVKxVaSzHlEIhFFo1H19vbaalJbW5uq1apWVlb08ssv\n",
       "K51ON238GY/HVS6XNT8/rzfeeEMf/YM/0PXhYXX+wi+o4anG3I03rIyMjCiTyejo0aM6cuSI/uEf\n",
       "/kHnz5/X8vKyisWirYiZ1zbfvVMAvddugo+p9HgfZwJOV1dX0+ao/f39Onr0qMrlclMTBdd1lcvl\n",
       "bmtiwD49APDeEXgA4CEwA/+urq6msHPy5ElbVfEGjEKhoMuXL+v111/X+fPntbi4qHw+r93dXTvA\n",
       "9g769xucm9Bi1uAEAgG1t7fr6NGjeuaZZ/TMM89oamqqaa8dSXYAfi+hwgSqnc1NLS4uNlVp4vG4\n",
       "9vb2lEwm7fXG43H19/crlUrJdV3Nzc0plUrp+9//vj1vs9aoWq1qY2NDr776qp599ll7TG8V7G5M\n",
       "iDEblJo1Nj09PZqZmdHf//3f6+WXX9abb76pXC5nz91UwVrXHHm/m/fJVLDM9MGFhQXF43GlUiml\n",
       "UimNjo7a1wqHwxoaGrIByKzjqdVqqlQqtmrXeiwAwLtH4AGAhyASiaijo0Ojo6M6fvy4zpw5o1On\n",
       "Tqm/v98OfL1h58qVK3r11Vd18eJFra6uKp/P27bT9XrdVm+8FQFzn/T2YDwUCtl2yIODgzp9+rRe\n",
       "fPFFPf744+ro6GhaB2NClxmMtwahVmbdS6lY1OLioiKRiG2eYNbrhMNhZTIZfexjH9PExIT29vbs\n",
       "vkKSNDo6qs9+9rOanZ1VNpu151+tVu3x5+bm7tj44F6Y54ZuNTxwXVdtbW06ffq0BgYGNDY2pt7e\n",
       "Xr366qtaXFy0m5aaUOV9j73TDb23q9WqnRoXCAS0sLBg10gFg0GNjIwoGAxqb29PsVhMY2Nj9nn1\n",
       "et0+f2try1bvaFkNAPcHgQcAHrBAIKBkMqn+/n5NTU3p8ccf18mTJ5XJZBSNRlWr1ez0pmKxqOvX\n",
       "r+vVV1/VhQsXtLi4qO3tbeXz+aY9dsx3M/A2A2vvZpomMMTjcU1MTOjDH/6wPvnJT2pmZqZpbY13\n",
       "rxxJt1U27qZSrWptbU3BYFDValWVSkXRaFTValWhUEiJREJDQ0NNxzBNFVzX1cDAgJ5//nl985vf\n",
       "tNO69vb2FI1G5TiO3UjU2G+K2Z14A0vrOpxGo6HBwUF96lOf0sDAgHp6evTKK6/o2rVr2traatqo\n",
       "tHUdlnftjvm9tzpjqmpmQ9lUKqWenh77eolEQqOjo6rVanYPItM62zQx8J4rAODdI/AAwANiAolZ\n",
       "tzM5OakTJ07o2LFjGhsbs1UE75Sr+fl5/eQnP7ENCkzYMWtMwuGwAoGA7XTm3VvH23LaVHs6Ojp0\n",
       "+PBhnT17Vi+88IKGh4clyU7ZMgN4s87HnMtPE3hc11WtVlOxWLQBLBKJqFqtKhaLqVwua2VlxQY8\n",
       "896Ew2G7KejJkyf19a9/3Z6X2cAzGAzajmbmWIGf4txaA07rhqx7e3uKRCK22jY1NaVvfvObevXV\n",
       "V5XNZu3UPm8HPO+UNtNS2gQcE3xyuZxtYtDV1aV0Oq1IJKLOzk57PslkUmNjY6pWq8rn89rc3FSh\n",
       "ULDd21qPBwB4dwg8APCAmIF1Z2enDh06ZPe3GRsbUzweb1okv7e3p/X1dV28eFEXLlzQ0tKStra2\n",
       "lMvl7GDfG1Ba17uYKo2pDESjUXV3d+v06dP6+Mc/rjNnzqirq+vmRqG3pp15B//7bSjq3aD0blzX\n",
       "VblcVjQaVTgcttWdYrGo+fl5/d3f/Z0+9alPaXh42L6uCXuVSsXuRxPy7LNjQpgJg63D/ntZx2NC\n",
       "jZmy531d00zAvF+jo6NKp9Pq7e1Ve3u7Xn31Vd24cUOVSqXpON4Q1Tq9zZzr7u6uAoGAIpGIrly5\n",
       "ong8rlgspsOHDysej9vPrq2tTWNjY8rn802VPLOhKWEHAN47Ag8AvAfev8C3TkEyLZj7+vo0MTGh\n",
       "I0eO6NChQ2pra7PBxTw+m83qypUreuuttzQ3N6e1tTVls1mVSqWmhfdmKpW3o5p3fx3TLKC/v19P\n",
       "PPGEPv/5z+vUqVOKRqO2ShGJRGxbZRMCzKDdBKh7bQwQSKeVOn5cicuX7euY/XXC4bCkmwHj4sWL\n",
       "Ghsbs/vjeDvSSdIbb7xh369qtWqnsNVqtZvT/r79bSU+/nHpVkgx1ZR7CTyRSETS29PovN3rWoNe\n",
       "MpnUs88+q2QyqWQyqe985ztaW1trmk5omEqUWbNk1h2Z1zPT1JaXlxWNRpVKpWzAMecUCoXU2dmp\n",
       "iYkJbW9va3NzUzs7OyqVStre3raVnrv92wMA3BmBBwDeA1Od2U8oFFJ3d7cmJiZ0+PBhTU1Nqb+/\n",
       "v6mK0Wg0VC6Xde3aNb3++uu6cuWKVldX7XoO75oXSU2Vl/0GvNFoVMPDw3r++ef1+c9/XkePHm06\n",
       "V6O1IUHrNLZ7mdbmuq5C09Ma/Bf/QiO/8isKv/CCpJsBJ5VKKZfLKRKJyHEclctl/eAHP1A6nVZf\n",
       "X1/TfjMbGxv67ne/azuzmcBlwkQkElHxN35Dh+bmFIhEVC2Xmxo0vJPWTnb7vQe1Wk2hUMhWm0Kh\n",
       "kE6fPq1oNKpoNKrvfe97un79ug09ppuet8rm3fTU/K5SqahQKCgWi2l1dVUXLlxQZ2en2tramvY7\n",
       "ikQidsrjysqKVldXtbOzo3K5bNdZeatJ3s+HwAMAd0fgAYD3oHXA6R30tre3a3h4WNPT0zpy5IhG\n",
       "R0eVTCbtoDsYDKpYLGp2dlYXL17U7Oys1tfXlc/nValUbBWmdZBrbnvXwJiWy+Pj43r++ef1mc98\n",
       "RocPH36g127ClzeMmWliptOZqYJI0srKir71rW8pHA4rGo3aNUzXrl2TdDPU5XI5JRIJhcNhRSIR\n",
       "2/RAni5y3nVA98N+U/fC4bAOHz6sRCKh9vZ2fetb39LCwoJyuZxtMV4ul20w22+fnkajoWq1qkKh\n",
       "oM3NTQWDQXV2dqq7u1vRaNR2yZNuBlWzGe36+rq2t7dVKBRUq9VUKpXsa7a+/wCAuyPwAMB7sN8g\n",
       "1HEcxWIxuwj+6NGjmpqaUldX121dv7a2tnT58mVdunRJy8vLymazKhaLqlar9i/7rcfw7lNj9r0J\n",
       "BAIaGhrSs88+q5/5mZ954GHHew2Rri51nDihoe1trfb02PUnJtCYZgtmo9FAIKB0Oq1wOGzXvEjS\n",
       "9va24vG4IpGIdnd3Va1WlUql9FSjoeQLL8jV2/vq3O9rMBUUM8XNVJbMPkWRSETf/OY3denSJVt5\n",
       "a23w4P28zPS3er2uUqlkP6PZ2VkNDAyor69PyWSyaWpbd3e3Dh8+rFwup62tLTul0ezTY47l7ToH\n",
       "ALg7Ag8AvAfeQaeZihWJRNTe3q7BwUFNTk5qbGxMXV1dTZuLOo6jQqGgxcVFXb16VQsLC9re3lax\n",
       "WLSL+PebVuZtNGCEw2ENDAzoIx/5iH72Z39W09PT97yXznthplSFjxzRkX/7b/Xzv/M7+outLS13\n",
       "dtogZqZ2mQG/t612sVi0Lbvz+bwSiYRCoZBKpZIcx1E8HtfIyoqeDYU09LWvqdZoKBwK7bsp6Hth\n",
       "Qqj5bEz3NfP6ExMT+uxnP2uv9+rVqyqXy03Pa93w1Xzf29uz1x+NRrW1taW5uTmNjIyou7tb6XTa\n",
       "nkc4HFZ/f7+OHDmi9fV1bWxsKJ/Pq1Ao2G5w+x0HAPDO7r6NNgDgnpgBaCwWU1dXl4aHhzUxMaHB\n",
       "wUHFYjFJb6/F2dvb09zcnC5duqTr16/bdRve6s5+vIHHrDvp7u7WU089pZ//+Z/XzMzMbV3JHrR6\n",
       "va7Q1JSm/92/0xfKZU16Ng0163Skt6eOmSBQLpe1u7trK0AmBEajUQUDAQ0sLOhXHEcDX/ua5Gmu\n",
       "4J1Gdz94g4sJPWYPHXO+o6Oj+sxnPqNPfepTmpiYUDweb2rsYKpure3BzfVXKhWVSiXt7OzYz315\n",
       "edlOizPVoVgspkwmoyNHjmhqakoDAwNKJBJNzSUAAD8dAg8AvAfeKoMZLHd0dGhkZEQTExOanJxU\n",
       "T0+PHTybzmXb29u6fPmyrl69qpWVFbtmo1qt2nUhrQNn77HMQLuzs1MnT57UF77wBR09etR2XvM2\n",
       "RniQzEC90WjIOXRII7/7u3puYUE9m5uq1+u2UmLOyQzcA4GA4vG4EomEDQn1ev3m+hzX1cDysv63\n",
       "aFT9f/qnKt/a0DMcDtv3+H4N/M35t24y6l0rZR43PDysT3/60/r4xz+u/v5+G9LM41pDj6mwBYNB\n",
       "7e3tqVgsKpfLaXV1VVeuXNGlS5e0sbEh6e2W447jqK2tTSMjIxofH1cmk1FPT49isZh9n42fdr8k\n",
       "APigIvAAwH1i1u709fXpscce0/T0tMbGxtTW1ta0X0u1WtXs7KyuXLmixcVFO5XNbCYqvfNf8s3v\n",
       "Ojs7NTMzo89//vM6fvy4PQdvW+kHyVREHMdRtVpVNBpVfGZG7f/qX+kz6+sazOft+ezt7aler9vq\n",
       "jqlihcNhe93pdFr9PT3qnp/Xr90KO61rVsyg39tt7b0wn4t37yHzs7c7mmnEMD4+rk984hN6/vnn\n",
       "NTo6ahsomNdqDT7e+02VZ3d3VysrK7p48aKuX7+uQqFgj7m3t6dQKKSenh6Nj49rYmJCo6Oj6uzs\n",
       "tCHWvA9UewDg3rCGBwDuk3A4rFQqpf7+fh06dEgTExPq6upS6Na6EzMVa2NjQ9euXdPCwoLtytYa\n",
       "drybbpqqjbk/FAopEoloZGREn/vc53TmzBm7+P1hMgP6er2uZDJpp2SNPf+8lqNR/dwf/IH+slZT\n",
       "rV6XGw5r/VajAlP1CIfDN1tYx+NqX1xUpVpVPBjU/xSNqvu//le7n08qlbLHMQHJVMruxzWYMOOt\n",
       "sninuXn38nFdV5OTk/rc5z6ncrlsPzvTUc98Xt7pbN51S7VaTZVKRdlsVgsLC7p8+bINN9Fo1H7u\n",
       "iUTCVnkWFxdtFdAcx5wLFR4AuDsCDwC8B6Z64TiOksmkBgYG7ED10KFDTUHE/JX/8uXLunbtmjY2\n",
       "NpTL5Wx1p7Uq4F3bYTYLrVQqamtr0+joqD75yU/qySefVCKRsFUIM32sdTPUB3n95hrNsZLJpKZe\n",
       "fFG1Q4f0y1/6knZ3d7Veq+k709N2Slv41iL+aq2mrnhcJ374Q3V2dirS3q7Mf//vduAfj8ftsUzI\n",
       "uV9hx3in6X8mEBkmuB47dkyVSkU7Ozt65ZVXtLW1pb29PQWDQVWr1aZKj7eCVKvVlMvlFAwGtbm5\n",
       "qevXr6u3t1ednZ0aGhqyoTYajaqnp0dDQ0PKZDKan5/X8vKyisWifa+p8gDAvSHwAMB7YAacoVBI\n",
       "HR0dymQyGh8f18jIiF134d1Ec3l5WdeuXdP8/LydyubduNQ7gDVrSySpWCwqGAwqmUwqkUjomWee\n",
       "0bPPPtu0kakJOt4Kw6MUPnRIfX/1V7pw4YI2X35ZX/xv/01yXdVvTWkz3dZCHR36/m/9lp577jn1\n",
       "9PRIksrlspLJ5CM9f8O7t5J0s+FEOBzW6dOntbW1pe3tbVUqFVUqFQWDQUWjUZXLZbuhqTecmA5w\n",
       "pVJJuVxO6+vrWl5e1ubmpt2M1HxuiURCmUxGo6Ojmpub0+zsrN2jyfsZ388GDgDgRwQeAHgPzGAz\n",
       "EokonU5rdHRUExMTGh4etlOUTCDZ3t7WlStXbKOCzc1Nu7mkpKa/2JsKgTe4hEIhtbe369ixYzp7\n",
       "9qwmJydvm0JlXudRhx0jHA7r1KlTevzxx+V+6UtqNBra2dnR8vKytra21NbWpunpaf3P0WjTYD8e\n",
       "j9/XtTrvhfe9NJU26ea1Pfnkk1peXtb29rYWFhZsO/FAIGCbGpgqnXTzs6nX63Y63Nramubm5jQ8\n",
       "PKz+/n719vbaz9RsRjo8PGybF6yvr9vGFlR3AODePPr/kgDA+5R3+lkymVRfX5/GxsY0OjqqdDpt\n",
       "A4t0cyrU4uKiLl++rOXlZe3s7KhQKKhSqWhvb88u6jdrPqTmik0kElEqlVImk9G5c+d0+PBhuybI\n",
       "+5yDUNkxvF3FvNPzEomEent7NTg4qOHhYSWTSQUCARv8DkrQMUxgNe+zmZZXq9XU1dWlF154QU88\n",
       "8YS6urrs/aFQyG5iul8FxlvlWV1d1ezsrFZXV1WtVpuOFY/HNTAwoEwmo8HBQXV2dioajbIXDwD8\n",
       "FA7Of1EA4H0qFoupu7vbTmcbGhqy61pM6Nne3tbc3JwWFhaaKjtmEboJLt5F6SYgmCpRZ2enPvSh\n",
       "D+mpp55SR0dHUwtqb6vmg7K+w6wn8rZuNo0ByuWystms3YfGTG8zXewOSujxtq32dm4LBAKKRqMK\n",
       "hUIaGxvTxz/+cR07dkwdHR32s/d2sWttLd5oNFStVu3ePIuLi5qfn1cul2tqmhCLxTQ4OKixsTGN\n",
       "jIyot7dXyWTSTpUDANzdo/+vCQC8T5m/3CcSCfX392t4eFjDw8Pq6upqambQaDS0ubmplZUVbW1t\n",
       "KZ/Pq1gsNi2G32/tjWlCEAgElEgkNDExoRdeeEEjIyO3/YXfrA1p3eTzUTJhzdu9rFKpKJ/P24X9\n",
       "Ozs7KpVKTZWqSCRyIMKO1LwPj9mM1PzsbSjx+OOP68yZMxoYGFA0GrVd98LhsN1/yHtNJtiVSiXl\n",
       "83mtr69rbm5Oa2trTQ0sAoGA3Zfn0KFD6u/vt3sXPepACwDvFwfjvygA8D5kKhadnZ0aHBxUJpPR\n",
       "wMCAIpFI0xqcXC6n+fl5raysaGdnx4Yd79oO83jvwNiEn0gkouHhYX30ox/V+Pi4DRLm+d5pU486\n",
       "5Hh5KxVm482NjQ2tra3ZJgyNRkNvvvmmLl68qNXVVZXL5ds6oz1KprW0t7GECW8mzLmuq46ODj39\n",
       "9NM6efKkUqlU0+dpPkdv1c18ZmYtTzab1fLysubn57Wzs9O0DisSiWhgYECPPfaYxsbGlL7V3vsg\n",
       "fdYAcJAReADgXTJd0zo7O9XX16f+/n67dsdMZZKktbU1zc/Pa3V1Vdls1k5n8wYV71/0TUgwa0WS\n",
       "yaSmpqb09NNPq6+vzwYF8zzHceyakdb9Yx60ux3DtMsuFAra3d1VrVaz1ahqtWqn9QUCAZVKJW1s\n",
       "bNhqz09znAfFTBv0NiAw63jMGh1zbidOnNAzzzyjgYEBxeNx++/AvI73GrwbspoNSbe2tmwV0AQ+\n",
       "M32uvb1dIyMjGh0dVU9Pj+LxuP33AQB4ZwQeALiD/f6C3jrlLJlMKplMqre3V/39/YrH43YqmnSz\n",
       "srGwsKC1tTXl83mVy2XbktkMeL3T0rzHNGt3xsbGdO7cOY2NjUmSbXP9TgPehzGl7U4L8r2/l24G\n",
       "t0gk0rQ+x9xnvpvgE41GVa1W7aak+1WzDO+0sgeltQmEN5C2Xmuj0bAd6dra2uy0M/Mcs+Gq9/VC\n",
       "oZAajYZyuZy2tra0sLCgubk5FQqFpnMIh8Pq7u7W8PCw+vr6lEqlDsy0PwA46Ph/SwD4KXgH3eav\n",
       "/Ol0Wm1tberp6VEoFLJT2ur1um7cuGEDj1mkb3gX9XvXsJjbgUBA6XRaTz/9tI4cOdK0CedBakpg\n",
       "QomZpudVr9ftl6mWmGuu1+vK5XKq1+uKRqOKx+O2aiK9XeEygcG8T6b6cRDWKXlbh7uuq+7ubp05\n",
       "c0bj4+MKhUJN3em84c2o1WqqVCqq1Wp2Lc/6+rp2d3ebgnAgEFAqlVJ/f796enrU1tZGhQcA7hGB\n",
       "BwDepUQioWQyqcHBQfX19am7u9sOQs0gdX19Xaurq9ra2lIul7NdyUywMYN57xQ16e0qzuDgoJ54\n",
       "4gkNDAw0bTL5qAf6XmYw761+eDdkDYfDSiaTSqVSSiQSTetPuru77Qat5v3wTh/zBgJJtiudCVit\n",
       "5/AogqC30hUKhTQzM6OjR4+qvb3dNjlofV9MQDL/Dur1unZ3d7W+vm73aDItqk2gMv/Went7bXtq\n",
       "AMDdEXgA4B60VhMcx1E0GlU6nVZfX58ymYwdgJq/4lcqFd24ccO2oS6VSqpUKvY1zDoVM6D1Vj9M\n",
       "M4QTJ07o0KFDduqT9zwOQugx0/C8rbFNGKnX66pUKk0VHklN07uy2azq9bpisZja2toUjUabwk8k\n",
       "ElEsFrPBQXr7fTPvSWvzh4f5vnjX6JhjDwwM6MSJExodHVUsFrP3e6e2tZ6j2Yy0UChodXVVi4uL\n",
       "2tnZuW3j2Y6ODnV1damjo0PRaJRpbQBwD/h/SgC4B60D1FAopGg0qq6uLvX19WlwcLCps1YwGNTa\n",
       "2prm5ua0tbWlQqGgcrlsF+23thU2A2Iz2A+FQurv79fTTz+t/v5++zjvwP4g8A7ITdiR3q7sxGIx\n",
       "hcNhhcNhu2GmCUSu6yqZTEqSSqWSbcfsXZ/kfb+kt9ftmOPVajUbqFqniz0MpqueN8REIhHNzMxo\n",
       "ZmbGXp85v/0CmQk7ppJl9uXZ2tq6be1SNBpVX1/fbRuQAgDuLHT3hwAAWsNJKBRSPB63gcfsvSO9\n",
       "PX1pdXVVq6ur2t3dta2oTbMC7+t5B7RmgB+LxZTJZDQ6OqpEImEfa0LBQVm/4Q07phmBdzqamYpW\n",
       "rVa1tbWljY0N7ezsaHd3V9Vq1a5Vamtrs93KUqmUksmkXdNjXr912lyxWLztfLytvR/WGh8TZLyB\n",
       "LZPJaGZmRj/84Q+VzWZVqVRsEwoznU2S7bjnbcxQKpW0ubmp7e1tVatVW/VyHEeJREIjIyPq6uqy\n",
       "1SMAwDsj8ADAPWqdktXZ2al0Oq3e3l5FIhFFIhH72Hw+r7W1NW1ubmp3d1e7u7tNG5G27lHjDUCh\n",
       "UEhdXV06fvy4uru7b2tdfVAGud4QIr1d7alUKpqdndWrr76qf/zHf5TruqrX67YaY8JQtVpVtVq1\n",
       "IalcLqter2twcFDPP/+8nnnmGQ0PD9spbab7nQlBkuyePd6GCaai5N0o9GHwblIaDAY1PT2to0eP\n",
       "amNjw16bed9M0Gvt+memtW1tbdk25v39/TYkRaNRDQwMqKenR+3t7YpGowdmzyIAOKgIPABwD1or\n",
       "PMFg0C7C7+jokKSmNtNbW1taXl7WxsaGstmscrmcHQibbmVmelZroIlGo+ru7tapU6fU09NjK0Lm\n",
       "edLba2cedfhpXYRfKpW0sLCgr3/96/rOd74j6e3pXIFAQLFYTJFIpKlpg2nkEIvFlEwmlc/n9Vd/\n",
       "9R+cRNgAACAASURBVFf6xje+oe7ubp07d04vvviiUqlU07od6e21VXt7e3aRv/mdea8f5Hvk/Uwi\n",
       "kUhTN7pDhw7p2LFjevPNN5XNZm0FyDQp8H6WruuqXC5rZ2dH4XBYW1tbunHjhra3tzUwMCBJdgPU\n",
       "aDSqtrY2tbe3KxaLaXd394FdHwD4AYEHAO4iGAw2bYRZr9ft1KTe3l719vYqGo02rdFYWlrS2tqa\n",
       "KpWK8vm8pLcHtt61OtLbHdnM2p1kMqmJiQn19fXZCkXroP1hLVZvPWdzn3fz0729PZXLZb311lv6\n",
       "xje+oddee03FYtF2U5PeXutiKj3eazIDf9Oqular2VCZzWb1R3/0R/rbv/1bfe5zn9OLL76oZDKp\n",
       "Wq2meDxuQ4QJELFYTOVyWaVSya4F8r533vVA9yMM7be2y4jFYhoZGVEmk9H8/Lz9fM25mjVIRjgc\n",
       "ts0uCoWC1tfX7SakpimEaeRgNrn1/rs0//a8Yfhhr2kCgIOIwAMAd2AG+K1tjs1g3Owd0zptqlKp\n",
       "2HU7Zu2GeZ75btZtmH17zOA3FospFovp+PHj6unpeQhXeWfetUXVatVWZv5/9t48SO6zvPf99L7v\n",
       "3dOzSSPNaLFkW5YUAwYM2CEJDtgkkEpukkvgFJyT5SRwkzh176ESTiB1Dql76+QWB0KWe5McqJvA\n",
       "gSSQODixY7yAjAXYlo21a0bSrD1779uv1/vHzPPq7Z6RZbAsJ/H7qVJpNN3z6/f3dlfp/c73eb6P\n",
       "3W5X/y4UChw/fpxvfetbTE9PUy6XlZOjl+rpB/H+4AU5nEsfS7vdViIzl8uRSCRYXl7mj//4j/n2\n",
       "t7/Nfffdx8GDB+l0OpTLZRV7XS6XsSwLp9NJpVJR74ueZtaftPdKMz4+zoEDB7hw4YIqa5PSPtlj\n",
       "XYDJ4/IZyuVyFItF4vG4Wq/L5VJuV3+sucFgMBi2YgSPwWAwfB+I2HG73YRCIaLRKC6Xq8fdyefz\n",
       "rKysUCgUVFiBLh76D/wOh0P9pt/n85FKpdi/fz/RaPTVuclN9MGiErktbozD4WBqaop//Md/5MSJ\n",
       "E0xNTdHpdAiFQvj9fprNJvV6Hb/fv0VYiOjRE+nEpRG3Sw7xPp+PUqmk4q2feuopLly4wF133cW7\n",
       "3vUu0uk0zWaTXC5HOBxWfTCJRIJsNqv2Wo+HvpGk02l27NhBOBxmeXmZWq2mhB+gBJ7sC6Acnlwu\n",
       "p0oi4/F4T1JbKpUiEong9/tVAARsFecGg8FgMILHYDAYvm/E3ZGZKHrpVqfTYW1tjeXlZUqlEo1G\n",
       "Q/WwiCiSw7yUhUnTvdfrJRgMsnfv3ldd7AjiuojjIoENa2trqs9G+pNcLheNRgObzYbP5yMUCvUE\n",
       "LUh5nHwtf3QRIoNFRbjY7XbK5TLVahWXy4XD4WBxcZHHHnuMpaUlPvjBD+L3+0mlUqytrdHtdonH\n",
       "4xSLRbxeb8913G73DRc8NpuNRCJBKpXi8uXLSkTqyWyCfBYajQb1ep1isahmOMGVJDy3200ikSCZ\n",
       "TBIKhdR9y+vJc1/t/i6DwWD4l4IRPAaDwfB9IoInGAwSDofVAV5CCySkoFarqehlfQ6LuCbSFyPO\n",
       "g0RdHzp0iFgs1tNv8moga5T7E9GTzWb5h3/4B44dO0alUqFcLvf03cgAUa/XqxycfsEjqWq6+JHI\n",
       "7mazSalUIp/Ps7a2hsvlUmVgoVCIUCjE8vKymm304Q9/WDkngUCAfD7fE40NqH6eG5naJoyPj3Pw\n",
       "4EHOnTtHtVpVbowugqWkTxLcGo0G1WqVQqFAqVRSz5P9E0HZH02tlwwat8dgMBg2MILHYDAYroF+\n",
       "oBQR4Ha78fv9+P3+noNlq9WiWCxSr9d7Bo3Kb+f1AaO64+NyubDb7QSDQfbt29fTs/FqIWuW9drt\n",
       "dkqlEt/4xjf42te+xoULF6jValQqFSVsHA4HlmUBEAqFenpN5JqC3L/0rYiokTk02WyWYrHYI1Zq\n",
       "tRrLy8skk0n27NnD6dOn+fSnP81P//RPs2fPHgD8fj+FQkHFWLdaLdXbo4cY3AgXpNvtkk6nmZiY\n",
       "IB6Ps7q62jNzR98T2W8Rf/V6nVKpxPr6OqVSiWg02iOORViKoBRe7c+NwWAw/Evj1fvVocFgMPwr\n",
       "ov9AKWlqMhRUGs7L5bIqQ5Lf5uupWf29G/KbfYfDgc/nY3R0VJWCvdoHVylfE1FWKBQ4deoUDz/8\n",
       "MBcvXmRtbY2VlRXy+TylUknNjpH5MfV6vcfVkevoeyB/i+gplUqsrq6q+UVerxePx0Oz2VSzjHw+\n",
       "H41Gg8nJSSzL4rvf/S5f/OIXmZqaolwuK3Ggx1Q3Gg0lPqE3kOFGEI1GVZqf7IPsrb4f8kdcnkql\n",
       "ooaQwpXPodfrZWhoiIGBAfx+Py6XS93Tjb43g8Fg+JeOcXgMBoPhKuglRP3ft9vt+Hw+1cwvB1U9\n",
       "WatWq9FsNtU19PI0XQSI++D3+xkZGcHn8/2L6cFot9sqAnp9fZ2vfe1rnD9/XiXQyf1Jf4xlWTQa\n",
       "DXVAj0ajJCoVPvzd7257CC87nXzs0CF1r81mU+2bRHWLaJTBrtlsVg3gLBQKDA0NMTc3xxe+8AXu\n",
       "u+8+Dhw4wPr6OqFQiG6321NWqK9BhMEPss+r999P6ctf3vaxxMc+RuQXfxFACdpgMEg6nVZzhmRf\n",
       "t4v8lrXqaW3lclmV/MmspuHhYQYHB1WwQ6PR2DIvSu7TYDAYXssYwWMwGAxXQS816u+5kR4ey7Kw\n",
       "LEs9J5fLUS6XVamXHN63E00yv0airYPBIBMTE0QikS0uiIglcSmkPEtfn1x3uwO8PC69M/rPvxgO\n",
       "hwOHw8H09DRf+tKXmJycpFAoqLI9SVWTuTvivgyWy/xlu40tmyUfDPLpd75TrcFus1HfTCLz1uv8\n",
       "wYkTAFRtNj44MKDK0KRnyOVy4fF4VKyzy+VS9yjvicvlYnl5mQceeIB0Ok00GlU9Mm63e8v96oJT\n",
       "Xstms1GtVpV4E8ErrtTKRz5C5YEHAFh///tpfO5z2NhIVQsGg+zavZt4LEbuv/03Lu/aBUD0/vuJ\n",
       "/tqvqXk8TqdTpfr1r0WcQAkuaDabVKvVntI+we12MzAwwNDQEOFwmMXFxZ41y2dHF1MGg8HwWsUI\n",
       "HoPBYLgGeumVODUej4dwOKwOyvLb9VwuRy6XI5/P98yh2Q6Px6NK4brdLj6fj3Q6jc/n63kt2BA6\n",
       "2Y9+lOpXvrLxw32iJv7RjxL59/9e9YFsJ4KkV0ju5aWEIkjM9okTJzh//jzLy8tK7MjjMj8IoFwu\n",
       "c9Dl4uM+H78Qi3H3XXdx29GjvO/QIXw+n+prkgN+LpvlVDbLyZMnmfze9/iz06d5z2bPT6PRIBQK\n",
       "USwW1f56vV6cTqfqgZIeKj0S/Pjx47ztbW8jlUqp8kNxRvT77Q9jaLfbeDwelaKm91utfOQjPF4s\n",
       "8vx9923EZM/OUvnzP6fVahEMBlWAxb59+3jDe9/L2Ic/jNvlIv+Hf0jhs58l+Mu/zMDAAPF4nPX1\n",
       "dSXk9F4eXazKekT8SCy3iB5xGGOxGIFAALfbrRLyZD9MaZvBYDBsYASPwWAwfB+Iu+P3+wmFQj09\n",
       "F3a7nUqlog6nej/Fdq6L7mLYbDYCgQCRSEQ1obfbbdbuv5/qgw9Ct0vid3+X1O/8DrAhgGx2O06H\n",
       "g1a7Tf5Tn+Ly3r0AxH7jN4j8yq+o9cKVhnjgmiJHp9FoMDU1xZNPPsnly5cpFApYlqUEgYg6cV5u\n",
       "8/n4vUiEP9qzh3vvuov3ve99pNNpgsEg3W4Xy7J6hJes6871dU6ePMnDDz7IV774Re7sdIhEIioA\n",
       "weVyKaEj5W4y+NXhcCgx0263OXXqFG9+85vVDCA9Ra+/F0v6p8QlEqEl17Qsi+yv/zpfnJriZDpN\n",
       "azOBr1Kp4HK5cLvdlEolNTMok8mwurrK2972Ng4ePEjsN3+T3Kc+Rf7TnyZ0+DDxeFyJKl2Y9Ker\n",
       "ScKcZVnUajXlGgaDwZ4+nsHBQRKJBD6fT4VH6BjBYzAYDEbwGAwGw1WRQ6jD4VCJX3JYDwaDxOPx\n",
       "nsO20+nsiUG+1rVFJEkvUCQSwe12q++v/9Zv4b/jDpL/+T8D0Ha7qW2uwR0KAdAFXHY7yY9+lMiH\n",
       "P7zR3P/nf07hj/6I6K/+ao97oLsJL1X05HI5nnvuOS5cuECpVNpS5mez2fB6vTQaDfa223wileKv\n",
       "Dh/mvT/xE7z73e9WLgugHBnZVxEuTqeToaEhkskkY2NjfHNggGOf+hQ/Uq8rwSJN+fV6Xe2/lP7J\n",
       "vYmAzOVyZDIZRkdH8fl8W0IB9HuXPiHdqZPHL168SPt3f5cvz8xw3OfDthl3XavVANSaPB6PChhw\n",
       "OBycOnWKcrmMzWbjtttuI/Arv0Lxj/6I1p//Od5kEq/Xi9/v75mv04+IaOlpkhCMQCCgHvd4PKTT\n",
       "aRKJBMFgkFwut235pMFgMLzWMYLHYDAYroJ+EJVDsM1mU5HUqVSKQCCAx+NR5Ud6Ott2B1m9bEn6\n",
       "Snw+H16vl1QqpQ7oq7/xG7hf/3r87343eDzMzs7ywgsvcPHiRZUCJ/0lgUCA8fFxDh8+zN69e0nd\n",
       "fz/5P/xDsp/5DMFf+iUANbRThIqeHPdirK+vc+rUKWq1mpqzI/vRaDRUudjtgQD3+3x8/sABfvp9\n",
       "7+Pee+/F5/MpUdM/A0fEo5R2yV7t3buX1C//Mv/o8/HI7/8+73W5VMS3rDkej5NIJPB6vaoXplqt\n",
       "Ahs9R81mk+PHj3PTTTepUjsRe5Lcpg8i1ftcxPGZnZ2l+bGP8beZDC8kEvg3+24qlYrqVWo2m6qv\n",
       "SBwnPXDhoYceYnFxkR07drB26614zp1j3/HjnI1Gt0RJ6wKy35Vrt9sqDEJ3glwuF4lEgkQigd/v\n",
       "V/duMBgMhl6M4DEYDIZr0C8Q3G43oVBIHZilJK1arVKr1ajVaqrs62olRSIe5EDr8XhIJpN4PB7W\n",
       "778f/513Erj3XlaLRZ775jd55plnuHTpEuVyuadsSZylpaUlTp8+zY4dOzh69Ci3/PzPY/viF6n8\n",
       "6Z8S+dVf3dKT8lLSyZrNJqurq6yuruJyufB6vViW1dNj1O12udVu53/z+fj8nj285+d+jne84x0E\n",
       "AoGe9DbZR334qpSoyX4IsXicN9x7L0/bbHz193+fd2zO8hGREIlEVFS12+1Wro/H46HValGtVjl1\n",
       "6pR6D+x2e0/6WbvdVtfTgx/ErcrlcvB7v8ffzM9zKpmkUKlQXV/H7XYrQarPWJJermq1qkIeVlZW\n",
       "KBaLVKtV5ubmAKju2cPI0hJ3T0/z5c0oaX1OU/9nRRwpXfjoe+V0OolEIsTjcfV5lCAJ4/IYDAbD\n",
       "FYzgMRgMhmugCwyHw0EgECAej6vGcnm8UqmoFLT+395vhzg0rVZLOUVrv/7r7Hzve/G9852sFos8\n",
       "++yzPPXUU8zPz6s+E+lrkZ4USfbK5XJUq1VyuRyTk5McfsMbGH3ySYqf/SyBX/5lJUC2Exnbkc1m\n",
       "OX/+vHIWvF6vcljC4TCFQoGJWo33t9t8Ohbjrre+lXvvvZdQKES1WsXv9/f0N4nI0PuJbDabKv+S\n",
       "3haA8YkJgj/7s/zphQv809/+Lb+xaxcOl4tqtaqEC2wkpEmyWrVaVaKq2+1y+vRpQqEQPp+PVqul\n",
       "/kjIgt/v70nek/1o/PZv8/+cOsWFdJq6ZSmhI++tiBBxt8T9kuAAy7IIBALYbDYWFxep1+sEg0Fa\n",
       "rRYre/dyoNHgp+bm+OtAYMs1+//I/un3LPsmexaNRtUQUukJMxgMBsMVjOAxGAyGq9DfUC69JBIu\n",
       "IC6FuAjy23p92OaLIf07DoeDUCjE6Oc/j+2nforc4cPUq1W++c1vcvLkSQqFAk6nU7kTuliQXhiH\n",
       "w4Hb7cZut6uhn81mE/fddzN47Bitz3yGyIc/DFwpn7pWLPXq6ipnzpyhXq9TrVZVk76UibndboZr\n",
       "NQbLZcZ/6Ic4fPiw2heJjpYeJ0FSx6QXym63q+Gt0kMj+zowMMB7fumXCH3lKwQDAdqgmvnFKarV\n",
       "aqqsLJ/PqyS3er3OQw89xMTEBMlksqcnptlsbhvXXK1WN+YnLS2Bz0fTbodN8SAzh6Q0UK4h65Ye\n",
       "IP1+xW0JBAJUq9UNweJyYXc4CGzuv7g8cEVY94sdXahJyZ185kSASx+YCB4TVmAwGAxXMILHYDAY\n",
       "roHe9C7lbIFAQLkV0htTqVSUyyAH8/4eETnM6oljgUCAe7/3PbJ33MF6KITn+eepVCpkMhnVJyMJ\n",
       "Z7DRu6HP09H7QeSw3W63mZub4zHL4i133MH4iRPkP/1poh/5SE8vjSSBiQCRfpp2u83a2hqzs7PK\n",
       "4dEb/iVG29Vq4fP5OHLkCD/2Yz+mXCe9L0cO6cVikUcffZTjx49TqVTw+/2Mjo5yzz33sH//frV+\n",
       "XUgcPHiQOTYGmNY2gwFEXJZKJSVgZD/sdruKzT5x4gSLi4vqepKiJ3sZDodVWhxspJ49/PDDDC4t\n",
       "0dkUFbL34uaIyJSgAz35TcSJ2+1WkeOdTgfLsvB6vaoczrUpeiSWWmY5yT3rnzdJwKtWq9TrdSVS\n",
       "5XlOp5NoNEosFtsSlKH3+xgMBsNrGSN4DAaD4Sr0T62X+TuBQEDNPtFdHrjSd6E7Pf3X7O+hsdls\n",
       "BOt1VjsdCtksjkKBcrlMsVhU5XGSziVpcfrhVhcI+vXr9TorKytMLS3hXVpiwOPpOaC3Wi0qlYoS\n",
       "NNJ4D7C2tsbk5CSVSkWVpPX3/+xrNLi3VuOhO+/kluFhwuFwz361220ajQYul4uZmRn+/u//noce\n",
       "eojLly+rUIdgMMji4iLvete7eOMb39gT12y323G43TT+8i/533/xF/nY7t1KrOjN/HqJmbgfnU6H\n",
       "Wq22JUBC5gc1m03W19fx+/2qz6jb7XLogQf4a5+Py4EADk3c2fu+luCKSCSiwhfq9boKk5DniSCV\n",
       "4aedToeTe/YwXi5z3/Iyf7OZWvdin0H986S7jbLPbrdbOWr9n1kjeAwGg8EIHoPBYLgmejmbz+cj\n",
       "FAoRDofxeDzqkC1CRErO+nsxtkvkkhI0+duyrI2Gea4czLvdLrVaDbfbTTQaVa8lJVV6CZUcjvXX\n",
       "bTQaXLhwAf+lSwzefHNPz4plWRSLRXU4l6hjm83G5cuXOXXqFPV6Xb2OuDzipHi6XcLdLq14nHQ6\n",
       "veXgLiVbi4uLPPDAA3zpS19iampKiRB5fr1ep1AoEIlEOHToUM9hHmDszjtZtCzy+TzWZhIeoErB\n",
       "rnbQb7VarK6ukkwm1doty1Jfr6ysMDAwoERerVbDXShQ7HSo22zQ3ToQFDbCArxeL6FQSPUIOZ1O\n",
       "Go0GxWJxYzDppmOjJ9QpFy4SIRAK4Z+bo7VNT5VeRiluW3+Zmi4KZUaRLmaN0DEYDIYrGMFjMBgM\n",
       "LwEpXZNm92Aw2HPQBJSYuFo6W//BXFyTD2QyzN96K7OpFO3N+GU5sEufj+4QuFwuQqHQlsQxEThS\n",
       "5iXXWVlZYfF1r2M1n8fx2c8S/bVfU9cXoSbBBxKMUCgUWFlZ2TKvp0e4ceVgHYlEeoSdfF2v1zl2\n",
       "7Bhf/epXOXfuXM8+iYiamZnhscceY9++fdx0001qFpE+lBWgvbkfEg6gCz0pJ5N7lr2dn59naGgI\n",
       "j8ejygydTiftdptSqUS5XFZlYsVikebmHvQ7KYLT6VQBE1LaGIvFCIVC6poLCwusra2pexQ3SgIj\n",
       "7HY7js33S+/J0j8bch96MMZ2nysR4v29UgaDwWC4ghE8BoPBcBV0gSJ/S+O+PsNFBEP/DBW5hv59\n",
       "/d9y0I03m8x7vVh2O2weuOVgDyj3xefz9Qw4FZGjH6xFFNXrdSzLUs7AfLnM7MICqc2elX5XQQSC\n",
       "lK/Jvfn9fhqNhhIe+iyeruYmyWG+X/A0Gg2mp6dZXl5W/TPieMhMHJfLRalU4uzZs6r3R++RuXjx\n",
       "Ij7tek6nU5Wy6XOBpKxNf5+WlpYolUpqTZJgJuVhhUJB7XelUgEtUU5PUJPPQjAYJJlM4vf78Xg8\n",
       "DAwMMDw8jM/nw7IsVldXWV9fV/sHqOQ2WWuz2aS5WWanCzX9fZH3/MXKI+X9k/euX5wZl8dgMBg2\n",
       "MILHYDAYrsJ2PRB6GZnuAsgf/eCpH/63+828XO9qHRxS5mZZFsPDw9x5552Mj4/j8XgolUpcvHiR\n",
       "mZmZDWdi09GRXhwRByIQlpeXySwscHRsjGazqeYFibjQG+/hSvx2q9WiVCop90fuvdPp0N24ESU2\n",
       "dIdBv3dd2MiAUCnjkxlEgIqnlteX65w7d47DEg6xWQqnhxvImhwOhyrJs9vteL1eFWygl/rJvehr\n",
       "FZHT3ixLrNVqqvdH3mMpZUsmk0QiEZxOJ+l0mnQ6jcvlUvst96VHcsNGz5TD4aBSqWz0Z232OEn6\n",
       "muyr/tl7sVlO23GtZECDwWB4LWIEj8FgMHwf9KeI6QdMGTrZL3T6D616Y77T6cTW5xLJb/Qlbtrn\n",
       "87F7927Gx8cZHBzE6XQSi8VUY36j0VCHeDm8S2CAzG7Re0tyuRy1Wo1ms9mzPnlt3c3yer1qzsx2\n",
       "vUg2UAJBp//gLS6RJJPp6XPytd/vV6Vs0qPUarXIZDIcBgKBAA6fj3a7jc/nU86JLrhkVpDsszhT\n",
       "IiT04AVxbKLRqAoWKDqdGz1Fm/unv9der5dut6vCCkQAwZUkOr2ETXqtpITOsiycTieFQoFiqbQR\n",
       "kw09Yqx/j/u/vtr7YDAYDIarYwSPwWAwvES2K13TD556aZF+gBUBo19HypnksCrPEWdDHAIRCLFY\n",
       "TB2yxZGR0ASZLyM/I+lrlUpFhRx0u1063Y0Y7NamSJLrSNiC7k7p4QQ9ro6eEMYVB6dcLvfEVgtO\n",
       "p5OhoSFisRhzc3NKEMq8HdmjSCTCvn37lAsCG4Ll5MmTzM7Oqv0KhkIUi0V8Pp8qpQPU/W9XSij9\n",
       "SdLgrztaMldIhFBls1zQ2rx/Pe5a73NyOp1KENrtdiXoJJocUK8lIqhWq+FwOKhWqxuCTtvnfvTP\n",
       "Ur+w1tE/Z9t9Xo0YMhgMBiN4DAaD4ZqIeyAHdYk7loOqiAWZwaK7PEJ/Dw/Q46bIz4mAEEEgB/Vi\n",
       "sUi5XCYYDPaUoYkL0e12qVarykmQn5MSLgD7Zv+NfVMkyRr0v/UBmg6Hg3w+rxrwpa/FZrPh9/uZ\n",
       "DQR4HHjH88+zcscdZLNZEolEj8PlcrnYsWMH+/fvZ3FxkVwup9LbJLI6Ho+zf/9+fvzHf1zNxZGy\n",
       "vMkLF/jJBx/kU/v34/Z4qNfrqmxN31cZYiqCSa4vIsXj8fQ0/8tz9ffD7XZz+kd/lHfMzpKtVDjn\n",
       "dvfM4mk2m8odk+8VCgXW1tYolUqUSiVmZmZU2IPe/yWistls8sZ8HsplvtTtYm2W+/WXR+qOVP+1\n",
       "9M+lvL96OqD+uMFgMBiuIXhsNpsX+AbgAdzA33e73Y/abLY48CVgDJgGfqbb7eY3f+ajwAeBNvCR\n",
       "brf7z6/c8g0Gg+GV42qHy2q1SrlcVmKj1WqpZnm94V//uf5ryaFbDqlSntXtdlXYgF6mlslkWFlZ\n",
       "IRwOqwOuzWZTDofMgJGENulbEeEg/Tcet5tQPE5rM965WCyqQ7U4OVKeBZDL5VSSmYghuedat8u6\n",
       "w0E0l+Pi2hq5XI5kMtlzfw6Hgz179vDDP/zDtNttTpw40SOgnE4nhw4d4j3veQ/79+/vEV7iigyt\n",
       "r3NxZAQ2hYA4J/K8fmGhO2h6uITuUNntdhKJRI/jU6/XOfyTP0n1oYf4mxdeoLMpanQhsba2xtmz\n",
       "Z/F4PIyNjVGv15mammJmZkYJVd2lgg3x5vP5AKhWq8TbbXKtFhnN1duuVE3WKXuvR4rrLqI4W/1O\n",
       "kHF4DAaDYYMXFTzdbrdus9nu7na7VZvN5gSetNlsdwLvBh7pdrv/l81m+z+A/wT8J5vNdhD4X4CD\n",
       "wAjwdZvNtq/b7W716w0Gg+FfONuJFOmNqdVqKtZZSp/kAC9/+kvb9EZ0ESy1Wo2/SiT4mfPnyTYa\n",
       "zMVi6rFWq6WciqWlJZaWlhgaGlKHaZfLhcfjodvdmNWjhwuIwyPC4/b1de5+3euI/of/gGuzF0XS\n",
       "3ABV7gUb5WHBYJBgMEi9Xu9Zs9yXXhbWaDSYnZ1lcnKSwcFBgsGg2je3283o6Ch33HEHLpeLwcFB\n",
       "MpkM3W5XRTvfc889vPnNb1auiV6CVqlUoNulWCrBZm+PPEcS3XR0sdNutwkEAj1iRxcYo6Oj+DcH\n",
       "f0qJoM/nY8nrVbHjIqwkjrrb7bK0tMTx48c5d+4cLpeLcrlMtVrtmbkjAtPr9RKPxwkEAnQ6HZXg\n",
       "hia8tuvZ0YMZxLGS4aL6c+S91sMO+vfCYDAYXutcs6St2+1WN790Aw4gx4bgedvm9z8PPMGG6PkJ\n",
       "4IvdbrcJTNtsting9cC3r++yDQaD4dWhv3FcTxPzer14PB41n0d+My/lRv1lblLidK7RwFWp4N2M\n",
       "WobeNLhOp0OxWGRxcZGxsTGSyWTPQbter1Ov13uS2uSwLCVcsUaDgVgM965dar0ej4dAIKBKv/Ry\n",
       "tsHBQUZGRlQ5n/SpyOPyOnNeL0+Ew7zuG9/gSaeTRCLB7bff3uNGuN1udu7cSSqV4q1vfatKPxMX\n",
       "bHBwkEAggGVZeDwe1ezv83h43ec+x+/EYiwuL2PT4rl9Ph9er7dH2Ok9RLK+SCTSs17ZW4BoNIp7\n",
       "s2xNFxKJj32MD/z2b7N+7hwXN0WOhEjIe18qlajX6z3itj/9zel0smfPHm666Sba7TbZbJaDs7Ms\n",
       "ZrM85PNBtbqt+9fff+RwOHC73Urg6Z8jCYCQEkWd7XqDDAaD4bXINQWPzWazAyeACeCPu93uaZvN\n",
       "lu52u8ubT1kG0ptfD9MrbubZcHoMBoPhXz3igoiwkcOuHLgDgQBer1f1k+i9PP3lRnpplRxY7VpJ\n",
       "mRxW5RDdaDSYmZkhHA4zNjaGw+FgaWmJ6elp1tbWVMS0OAbiyMgapOxJH+TpcDjw+/09DpSIJ5qc\n",
       "QAAAIABJREFULLfbzeDgIA6Hg3q93iMkpPQOoNBq8XCjwUqlwl2PPspjoRDxeJy9e/eq+7Tb7QQC\n",
       "AQKBgHptcWAkhEFeX5Lp3A4HCz/90/yxZfH1XI5KpaL22ev1EggEVLqaCAFxVeR6MqBVXk/eB3F5\n",
       "dEepXq8rodqdmODWT3yCj3zsY/zFwgLnNoMJpIdJhI9eTqen94lw27VrF3feeSe33HILxWKR7F/9\n",
       "FacvX+bJSISFzbK+7Xpu+l0eiduW8kX9+f2BFQaDwWDYyktxeDrAYZvNFgEettlsd/c93rXZbC/m\n",
       "mW/72Mc//nH19V133cVdd931UtZrMBgMrxo2m02JHN3ZETdDhlHK47rI6S8tEldBggn+JpHg3XNz\n",
       "lBwOZkIhJRREtHS7XRYXF2m322QyGVqtFrlcTvXYSCy0XkYHG4fvwysrvP1NbyL8C7/Q0wAvCW96\n",
       "aZi8lsPhIBaLkUgkKJVKPWKi0WhQrVZVP1O9XmfR6aTZaPDOBx/kn8Nh7HY7o6OjasYOoMSWLg4a\n",
       "jYZ6jgwv7VgWS+9/P5/J5Xi0UCCfz/f0Dskhv9PpEAqF1D7ppYDtdhuv16sEmwg+KduLRCLqeyLw\n",
       "pLyv2WziOXCAH/ov/wXHxz/O/5if5+SmUyfXlNdpNBr4/X5VxtdqtfD5fOzZs4cf+ZEf4ciRIxtr\n",
       "fPhhsvPzzB48yPyJE8qZ0nt99M+ZLnZEZOuCR94vPf5a7+XR/zYYDIZ/izzxxBM88cQTL+m5Lzml\n",
       "rdvtFmw224PADwHLNpttsNvtLtlstiFgZfNpC8AO7cdGN7+3BV3wGAwGw79E+g+OemlTvV7vCQ/o\n",
       "drv4fL4tJW395UnQG4AggmfSbuc7ySR3ZjL4du8mk0yqA7UIBMuyyGQyrK6uqoGk8lt+KefSe4Yc\n",
       "DgdH19a49+hRdv7SL8HOnT1ujwQt6PHQuiAaGhriyJEjrKys0Gw2AVQPU7VaVcNLW60WltvNQ+02\n",
       "rakpfvJLX+KrtRqvf/3rOXLkCMFgsCd9TI9bFgFiWdbGTBvLIvP+9/OZ5WUezufJZrOqjE2cGXHF\n",
       "KpWK6mMS9DhnSbSrVqu4XC5arZaapTM8PNwzoFVEj/Td2O12XLfeypGPfxx+7/d4oFzm+U0nSNYt\n",
       "jp+4ZK1Wi2g0ys0338wdd9zBzTffTCAQoPg//ye2TAbuuYe1J57Asqweh0jEr743Ug4p84Hks6V/\n",
       "fsT5q9Vq1Ov1ntK2/vJJg8Fg+LdGv2HyiU984qrPvVZKWxJodbvdvM1m8wE/CnwCeAD4APB/bv79\n",
       "d5s/8gDwBZvN9n+zUcq2F/juD3ojBoPB8GrSn5wlzkKtVlOJaHoTvMfjUeVuHo+nJ11Lrge9A0l1\n",
       "MbWaSDAzOsrhy5dJp9Oc9/tV1LQ4Pe12W0Viy/fk+rrgsdvtHFlZ4Y6REaI/+7MEDhzoadrXy6f0\n",
       "MAVxexwOByMjI7zuda/j+PHjLC8vKwFmWRb1ep3qZg+Kc3N2zUqnw0OtFu0zZ3hnvc6Xp6cpFArc\n",
       "euut7Nq1q8cN6++ncTgcrM3PU/2t3+JT8/M8sLrK6uoqjc3YZr05X9av779cVxdGqVRKiTpACVSA\n",
       "RCKhhpTqwlTvBWq327hvuYUjH/sY3j/4A25OpZgKhZifn++Zz+P1egmHwwwPD3PgwAH27t1LOp3G\n",
       "7XZT+vKXac/NEfqpn6Kzvq5m9Eh5nN7L1J+WJ1+73W7Vw6O/V7AhFEV4Srpff5+PwWAwvNa5lsMz\n",
       "BHx+s4/HDvx/3W73UZvN9hzwZZvN9iE2Y6kBut3uGZvN9mXgDNAC/mPX+OkGg+FfOXoClv4bdSkj\n",
       "ksOl2+1W6WbScyGiRz+k6qVGctCWcqrGxATuQ4e47TvfIX3wIGeSSWZnZ9UBuFQqYVmW6h2SPhi3\n",
       "261KmxwOB0dWVnjb+Dipn/95IrfeqsrR5DUF6aGREis5ZDudTtWHMjExoVwlKYMT8dAvYPKtFg93\n",
       "OtgvX+Y9hQIDL7xAcWyMh9/3Pnbs2MHo6CjhcPjKPpRKLP/H/whAsVrlTxYW+MbmvBvZEykf07+W\n",
       "fRPRJyLB5/NRr9dVD1L/WpvNJk6nk3A4rCKr9V6r/tAAAM+hQxz4zd8k8hd/wZ5HH6VcLhP60Ifw\n",
       "vuUtAModCgaDRCIRml/9KsWHH94ooTt0iNB73oN7YoLSpgDU+4D6B7XqQQXiXvl8PgKBAH6/X61R\n",
       "7qVarVIsFikUCioMQq5renoMBoNhg2vFUp8Ejm7z/SzwI1f5mU8Cn7wuqzMYDIZXkf7+G30GT7lc\n",
       "VuVNev9LMBjE7/fj9Xp7oqnhSt+O7upIOZUMDI3FYqTe+EZ2HDlC6qtfxTcygn3XLhYWFrAsC5fL\n",
       "pZLVxIkR4eXz+XC5XBycm+PHDh5k9AMfwH/wIIFAYNv70/tXtnMZAHbs2MGb3vQmnnnmmZ7IZz2t\n",
       "TXcpOp0OhW6Xhy2LcjZLDNjZbPIjn/wk3VCIfChEVetFqXe7/E2hsJE012xyOhKhubjYU+Klu0C6\n",
       "AyN7KeVe4ga53W7C4bC6bxkUKiVoIyMjhEKhnnAA/T3fzh3x3HYbw//u3zHwjndsrPu736X5B3+w\n",
       "5XklwHP4MKGf+zkAXPv2Yd+1i3a7rQbWSpx5v7DqT5ITIev3+/H7/VvCGcTtEwHe7+yY3zcaDAbD\n",
       "Bi+5h8dgMBheq8hBX0q6JAa6VCr1/IbeZrMRjUYJBoM9aW3bHazl39LH0+121RDQVCpF/LbbNiKV\n",
       "//IvCZ84QalU4tRNNzEViVAul9VBWeb/3L6ywsHNGS877r6bsQ9+EM/+/UrM6Els+uuLG6A3xOvP\n",
       "CYfDHD16lCNHjvDkk0+qYabiuOg9P3BlXlHBbufxbpdhj4f1aBRXt4u908FWLGKz27HbbNjsdnKl\n",
       "EheHhuiEQhslZJt9OSK4+tetN/M7nU5CoZBq6tedqWQyqXqHpPxMIqhvuummq4rAF8Nz5AieI0cA\n",
       "cI6M0Jqb2/Z57oMHcY2Pq39blkWlUiGbzaoSRT1YQn8f9P4dcXgk4a7fTWu1WlQqFWq1mirvMxgM\n",
       "BsNWjOAxGAyGq6DPxJFDqt7HUigUeqKgRfCEw+GexDb98f7oYbhSRlUul8nlcioNjkOHSP/cz5Ha\n",
       "bMocevBBDn7nO8rdkTXaHQ4iR48y/DM/QyqVwnvzzbj27lWiYTs34Wpr0ZFD+fDwMPfddx8zMzNM\n",
       "T0+r/iTZH3F59HuRErNms0kVOJNOq9Ix3aVoRiLYtMAFicqORCIAFAqFnshl2Ruv14vP5yMWi6n+\n",
       "FrfbjcfjIZFIqFlFEhAgjlE8HieVSm2bjvb94LntNjy33faSnutwOMhms0xPT29JvNP3Tu5PnCgp\n",
       "Z5Myyf4esEajQalUUm6jLniMu2MwGAxXMILHYDAYroF+0LQsi1KpRC6XU4dxPdZZ5sOI4NFdnn6R\n",
       "IX0lgEp/W1paolarqYOv73WvU27K3pERxu+5h+bmv50OB+3NQ3NnYgL3vn2qEV8XN/rry33o9yXf\n",
       "264cStLODh06xN13380XvvAFKpUKgUCAer2OZVlbni+OSzAYJBaLqWQ0PaRB7lka9+V7Ho+HaDRK\n",
       "t9tVP9dsNnt6eDweD6FQiGAwSCgUUkNIHQ4H0WiUXbt2EQwGyeVy6jVdLheNRkMlp+nO2yuJCOLV\n",
       "1VWmp6dVaIEuuLb7bEhYgc/nIxQKqf4debzT6VCv1ykUChSLxR7BY8SOwWAw9GIEj8FgMFwD/QAp\n",
       "fTyFQoFCoUC1WlUiAzb6R+LxOMFgUPXU6IdrPbxATxxrNBo0Gg2Wl5dZW1tjfHxcHYrF/fAcPYr9\n",
       "9tt7orB1oSLrFBGlu0/6veg9N/33uZ0IstvtxGIx7r77bs6dO8djjz2m7hXoicWWWGcRI36/H5vN\n",
       "hmVZPdHPcl293A42DvMyWLTT6ZBOp5WjJuLF7XYrweNwONSgz2QyydDQEPF4XD2v2+3i8XhotVqk\n",
       "02l27tyJx+O5oSlmNpuN9fV1lXTXn1anO1D9wRGSAKcLHtnzSqVCPp8nn89Tq9VUAp3BYDAYejGC\n",
       "x2AwGK5Cf5mWIOlYhUKBXC5HNBrtaaxPJBJEIpGesjbpI9Eb0/U4ZGlAX19fZ3Jykptuuol4PK6e\n",
       "pyNzaMS5gCsN73o6lxyi+8XRdof97USR7q54vV7Gx8d5z3veQ61W4/nnn6dSqai+GBFR0kMTDAYJ\n",
       "BAKqh0biq8UNk4O/lHY1m03VhyJCUFwbSVrT70Hiv+W68XicvXv3kkqlVHR4JBKhUqng8/loNpsc\n",
       "OXKE8OZQVOmdeqWFj81mY21tjZmZGVXOJsJE7l134GRPZB/FMfT5fD2isNVqUdgcyloqlbaUtBkM\n",
       "BoPhCkbwGAwGw1XQhYIctHWHp1wuk8/n1aEVNsRIJBJRpVYSTy09QDryW36ZryLzbS5dukQ+nyeR\n",
       "SPSICV3I9Ecpy7X0w7Q8Jj8jf4sQ0p2efsEj19Gf5/f7edOb3oTNthGjfebMmZ690efGiLMls4tE\n",
       "8Mm96uJMDvwy1FTWLBHYdrsdj8fTc4/6uvft28ctt9zCwMAATqdTxVlblqWckX379jExMaHS3F5u\n",
       "D8/3w+zsLFNTU8qlkvVLJHh/KZuIHXG6gsFgT6hEp9NR/TsidkQQ3kjnymAwGP61YASPwWAwXAM5\n",
       "SMph27Iscrkc+XyebDbbE5Xc7XaJRCLE43HC4TBerxe3260cGTnE6yJGXAyASqXC/Pw8uVxOHcz7\n",
       "k9BUqIG2Nr1fR56j//1iX1/tnmWN4ihJadvRo0eZmZnBsiympqZ6ni+HdnGHRPSI0JF7kgO83rjf\n",
       "breVWJHAA5mzI2lzsg5xad761rdy2223MTY2RqPRoFgsqpI3t9tNs9kkGo2yb98+FUUtP3+9xIHe\n",
       "n6S7b/K+rayskMlkVICCPpdJhraKAJJ91Of6yLr1EsXm5qwi6eHpF9P6Z9ZgMBhe6xjBYzAYDFeh\n",
       "P25Z6O+fkIGccsD0er1bytoqlcqWa+nN6vJb/1qtxurqKnNzc+zZs0eVhQnbDarUv36ph3j9ta9W\n",
       "4rZdv4/c6+HDh9Vw0FwuR7VaVVHKcCUZzuVy0Ww21bX0OGs55EspmyTgAaoMUBLLJBxBnh+Lxbj5\n",
       "5pt585vfTDKZxO/3q5lEIjZkjs3o6CjJZFK5OtezlK3fQdNdOJvNRqFQIJPJkM1mt9ybCB79OnpZ\n",
       "oN/vV8K5/zUl5jqfz1OpVEw5m8FgMLwIRvAYDAbDS0REgPSIrK+vq9+yy1wXEQeJREIdVn0+35Yh\n",
       "pLo46Y+/zmaznD59mqNHj+L3+68aMvBKopeZifCQeTLSH/PGN74RgGeffZbLly8D4HK5VKiCuDhy\n",
       "361WSzk2/a8hoQ16z5EIExExgUBAiaoDBw5w3333kUqlVImXw+FQ74M4QTt27CCZTKpgievteOhC\n",
       "RYSrXk6YyWQ4f/68SvST/dCjzmVdnU5H9e34/X5CoRDJZLJnSKokBa6trbG2tkY2m6VWqykhuZ2Y\n",
       "NhgMhtc6RvAYDAbDVdguxlkO7pVKhdXVVdbX11ldXWVwcFAd4LvdLolEglQq1RNRbVmWOrzrPSx6\n",
       "w3+326VQKHD+/HkWFxcZGhraNmlNX9/1vEf5nv59cSMqlQqlUkkdroeGhnjb297G8PAwzz33HFNT\n",
       "UxQKBTU4U4ai6oJNelj0Mja9/8nlcimnRxwivd8lEolw6NAhbr/9dqLR6Bb3R3qiJLo6nU7j8/m2\n",
       "TbW7HmwnWkXEdbtdFhYWmJ6eVil1sqdy71IKKfshYQ1+v199hiRtTt4jy7JYXl5mZWWFbDaLZVkm\n",
       "oc1gMBheBCN4DAaD4SUih9t2u02tViOfz5PL5VhdXe1J/ep0OoTDYWKx2JYhpFK6Jc+T6+o9H5Zl\n",
       "sbS0xNmzZ9mzZw/RaFT1fsDW1LhX6j4BFUTQaDSoVqs0m01cLpdau7gnIyMjLC0tMT09zeXLl1le\n",
       "XqZWq6n16ul0elqduEFy4O8v9yoWiwwMDBCLxRgZGeHIkSPs3buXcDiM0+lUZWIul0uJIwlYiMfj\n",
       "PWJHXvN6Cx65ti54JYp6amqKtbU1gJ73X/ZVd4jke5Jyl0wmVVKf7nyVy2VWVlZYX1/vEaD6egwG\n",
       "g8FwBSN4DAaD4Sro6Wf93282m1QqFXK5HGtra1Sr1Z4kLa/XqwRPIBBQ4QXNZlNdQxcB+kG12+1S\n",
       "KpU4deoUt99+O8FgUPV6yOPyM9eLq11LStPEsWi322qWTqvVwuVyEQgEcLvdpFIp9u/fTzabZW5u\n",
       "junpaU6dOqXSyfSeIPna6XQq4aIn1tlsNsLhMOl0mgMHDjA4OEg8HmdwcFCJIukP0gWjDHv1+XxK\n",
       "7Aj9Ttn1EEC6YOn/9+zsLGfPnqVcLm/psdEjuWVPxJny+XzEYjEGBgZU/46ss9lsks1mWV5eZn19\n",
       "nWq1ukU4G8FjMBgMvRjBYzAYDC8R/SApJV7ZbFaVtgWDwZ6UtFQqxcDAAJFIhEAgoCKE9YOpPoNF\n",
       "j8CuVqtcvHiR8+fPMzo6SjQa3XYdrzSyNpfLRTAYxLIsVW4mZVSBQECV7EUiEXbt2sXBgwdZXl7m\n",
       "0KFDLC4usri4yPLyMoVCocetcrvduN1ubDYboVCIVCql0slGRkbYvXu3GmIqKW+w4eiUy+WeeGmn\n",
       "06nEpe6eyH3oXK891CO59ZI5ef/m5uao1+tbSs70n9PnDgUCASKRCOl0moGBgR7RZrNtxIFnMhky\n",
       "mQyrq6tbBI/BYDAYtmIEj8FgMFyDq/3WvFwuk8vlWF9fZ319neHhYXUA73Q6SvBEo1ElCpxOZ8/A\n",
       "UTko64da/WD7zDPPcNtttxEOh9Xzr3dZ1rXuXcq1YrEY7XabXC6nRIvNZlP9KTIM1Ol0EgwG8fl8\n",
       "7Ny5k6WlJZaWllhdXSWbzaq5PLVajWazqcSSJKrFYjHi8Ti7d+9W+yOHeunxkQZ/vRTO7/ergAjY\n",
       "XtRcrVfp5exP/yyibrfL3NwcZ8+eVbHl+nP0fhxZg81mU8lskUiEVCpFJBLpKZHrdrvUajW1l/l8\n",
       "vmfgqHF2DAaDYXuM4DEYDIYXQT+c9js8Mu1+ZWWFpaUl9u7di9frVc91uVwMDg4yODjI7OysKmur\n",
       "1WqqQV1vWNcFTbvdplgscv78ec6ePUsqldpS3nSj7l9e0+PxkEwm1VyharVKq9VSZXp60IHcU6fT\n",
       "we/3qz4cGZLZarXI5/Osrq6qmTvicsjQTSmh83g8NJtN9TrS7C+ldh6PR5UOSiz2S0m2u16hD/1h\n",
       "CPV6nQsXLjA5Oan6mPTBsXppnzhRUjoYCASIRqOk02lisVjP+9BoNFhbW2NpaUmVUcrAUf296v/a\n",
       "YDAYXuvc2JxTg8Fg+FfGi83ikeGPy8vLLCwskMvllBsiwmVgYIDh4WHi8bhyPVwu11XLrXQHp9Pp\n",
       "sLq6yjPPPMPKyoqKdb5R6AdzWZfP5yOVShGPx9WMICnFkh4mcWDkHlutlgo80Jvz5doiBDqdjhJE\n",
       "sCEcJCBB73mRQaSS2haPxwmFQkrs6K/dj+6oXC9EqMqeLS4ucurUKRYXF7cNFOjv+wHUzKBAIEAi\n",
       "kWBwcFCV8cnPVSoVZmdnmZ+fZ3V19Zrzd4zoMRgMhg2Mw2MwGAw/IM1mUzk8mUyG+fl5kskkkUgE\n",
       "uNJTkk6nGRwcZG1tjXK5TKlU6pk5ox9q9SADgEKhwJkzZ7h48SLpdFoN2Hw1HB5dAEkogwQYSCmX\n",
       "iDIJOZDyNXG0dDEiMdK6wBPHqFar4XA4iEQiPe6Xw+FQ4sDlcqm0tv546Fern6VWq3H69GlOnjxJ\n",
       "sVjs2TvdydP/7XA48Pl8eDweIpEIQ0NDpFKpnnJHmc80MzPD/Pw86+vryik0GAwGw4tjBI/BYDC8\n",
       "DKrVKtlsloWFBS5fvszo6CjBYFAd4N1uN8lkkuHhYTKZDOvr66pnRZLJthM84qg0Gg2WlpY4fvw4\n",
       "ExMTjI+PvyLzZK5Gf5kaXImq9vv9aqCnHMrr9Tr1eh1A3b98rTsaco/NZhOv14vL5aLRaNBut9W8\n",
       "IhFKUk4nQ0dF7Mi8H1mfvt4bKXj092xmZoZnnnmGTCajIrdlff1ujH5vgUCAYDBIOp1m586dRKPR\n",
       "Hjeo0WiwvLzM7OwsKysrVCoVVeJnMBgMhhfHCB6DwWB4GTSbTYrFIouLi8zMzLBnzx4GBgbweDyq\n",
       "mT4WizE8PEwikSCTyeD3+2k2m8oF0dEPua1WC7fbTalU4sSJE9xyyy09vTyvNNuJhv5+EV3EyAwZ\n",
       "KT+TXhsRQ3ostLhB4lbpgsXpdOL1egmFQkoM9Ysc/TpXW3O/yHqlKRQKPP3007zwwgvUarWeSHP9\n",
       "fdXX6XQ6e6KoR0ZGGB4eVsNGYaN8Mp/PMz09zczMDLlcTollg8FgMFwbI3gMBoPhB0QOsZVKhdXV\n",
       "VRYWFlhYWGBsbIx0Oq2eEwgEGBgYIJ1OMz8/T6FQwLIsLMvq6fHQEREgrsnq6irHjx9nz5493Hrr\n",
       "rTfsIN8vRvTX3c5VEVEigQKWZZFOpwmHw6osS1LdAoEAw8PDNJtNut2uKpNLJBLEYjECgQDhcFg5\n",
       "SnqfjO6M6eu5Uc6Xjt1ux7IsXnjhBb773e+ytLSEZVk9ZXbbJbPJ7B2ZG5RKpRgeHlZhBXpi38LC\n",
       "AhcuXGB2dlYJHoPBYDC8NIzgMRgMhpeJZVlks1kymQwzMzOMj4+TTCaVy2Gz2YjH4wwPDzM/P08u\n",
       "l6NcLqvf4l9N9MhATq/XS7PZ5Pz58zzzzDMq+e3VONi/GHrJlggUt9tNOBxW9xkMBimVSgCUSiVq\n",
       "tRrVahWXy8Xo6ChDQ0P4fD5VqradoJHvXy1QQn7mRonCTqfD7Ows3/jGN5icnKTZbPb0Eul9S/ra\n",
       "nE4nLpcLr9dLNBpldHSUkZER/H5/z/0UCgUuXLjAuXPnWFpaolwuX/UzYzAYDIatmJQ2g8FgeBnY\n",
       "7XZarZYSPBcvXuTy5cvk83nsdrsqWwuHwwwPD6vENr/fr/pSYKtbIl+LY9FsNslmszz11FM8//zz\n",
       "VCqVG3qfegnZdk5Kf+nWduVWbreb4eFh9u/fz/j4OIlEQkV1BwIBYrEYoVBoy9DQq61nO8F3o0Vg\n",
       "t9ulVCrxzDPP8Oyzz7K+vk673Vbvqx4b3f/eihMWDAYZGBhgx44dpNNpdf+dTgfLslhYWOD06dNc\n",
       "vnyZXC6HZVnbXtNgMBgM22MEj8FgMLxM2u021WqVlZUVLl68yIULF7h8+bJK0ZJeFSlZGhgYIBKJ\n",
       "4Pf7VcKYNOSLK9HpdOh0OirJTJLLLl26xPHjx7l48aI6+PaLA/nZ60X/ofrFIrWlT0cfrtr/PCnV\n",
       "kxI4l8ul+nzkcRFU4mT0zymS+9TLw/TH+tf5criagBNRMjk5ybe//W0ymQzVapVGo6HEqggeGTgr\n",
       "65RyNr/fTzQaVfHlwWCQVqulfn59fZ2TJ09y4cIFlpaWqNVq1/W9NRgMhtcCpqTNYDAYfkD6D9fF\n",
       "YpGFhQWmpqYYGhpiYGCAgYEBdTD2+Xyql2dpaYlqtUqtVqPZbPYIg+0EhRz+y+Uyzz//vBpMOTo6\n",
       "2rMOCQrQ5/lc73t+KaKiv/wMNgIeRMBVKhWWlpbI5/M9LojT6SQajSqXQ//TarWUOGq1WjdksKiI\n",
       "MHFt+uf4zM/Pc+zYMc6ePUu9Xt8idPQ4bSlvk2AGj8dDKBQimUwyMjLCwMCAEn5OpxPLspiamuJ7\n",
       "3/ses7OzFAoFk8xmMBgMPwBG8BgMBsMPiMykkUOuZVmsr68zMzOj4oV9Ph/BYFAJkXA4zODgIPPz\n",
       "82SzWQKBAK1Wi3q9rgZz6iVNghyyG40GmUyG48ePMzQ0RCgUUhHGegmc/vUref/9eyBrBdTcHTnk\n",
       "W5bF3Nwcy5cvkz5xgtLUFN1WC9fm8NGK18vS8DDHDx1ieHiY0dFRksmkEgAy0FREgZSNvZLI/ekC\n",
       "Tl57fX2dxx57jGPHjrG6uqqGouqiU4bMSh+PvL8SVBCNRhkZGWFsbIxAIKB6thqNBvPz8zz33HOc\n",
       "P39eCeQbOXjWYDAY/q1gBI/BYDC8DHSh0Wq1KBaLzM/PEwqFGBgYIBqNsnPnTmCjBMvr9ZJKpRga\n",
       "GmJ1dZVKpUK9Xt+SuiW9P7orIAfver3O9PQ0jz/+ONFolNe//vV4vV7VCC8/+0oLgv5oaF0cNBoN\n",
       "3G63EmnlpSU6Dz9M5sIFzp86xdTCAo1Gg0AgQKfTUc7FgsvF4oMPUhsbw33wIAvveheHDh1SEd2d\n",
       "TkcJoBuRyCZCS5wludd8Ps+xY8c4duwYmUwGy7IAekoSpXRNDzGQFDufz0c8HmdkZITdu3czMDBA\n",
       "p9OhWq1is9nUANPnnnuOixcvks1mVambjommNhgMhmtjBI/BYDC8DPrLzyTA4PLly6o3Q0qX5HG/\n",
       "38/o6CjZbJZqtUqlUlGCp9/VEbdH5thIH0itVmNycpInnniCUCjEgQMH1AycGx3NrCeSyb/F0Wi1\n",
       "WsyeOUPxS1/iha98ZUMAuN18ddcuarUawWAQl8ul3Buf08m7zp6ltLLCd55+mtjkJOUPfYjXv+EN\n",
       "6t7FYblRvSzyOiIgm80mzz//PI8//jiXLl2i0WgoZ0f6dfT3TC+Dk6ACSWXbu3cvu3fvxu/3q89A\n",
       "rVZjaWmJ06dPc+nSJdbW1lS5XH/Jo8FgMBiujRE8BoPB8DLoFzx6f8r58+cZHBzE5/Oxe/dugsGg\n",
       "6tcZGBhgfHyccrlMoVBQgyQbjYY60ItjIuJBSqUcDgetVotCocALL7xAMBgkFAoxMTEBoIIQbjR6\n",
       "BLPb7abZbHLh2WeZ+7M/Y+qpp/j7nTuvJNdVKtjtdsrlMj6fD5fLhdPppN5u8z8GB6nVanjdbv7X\n",
       "b36T+UwGx8c/zh1vfCOdTkeVid2Ie5R70YfBnj17lkcffZQLFy6Qz+dpNBpK5Mg+wPahCi6XS6Wy\n",
       "jY2NsXfvXoaGhpQzB1AsFjl79iznz58nk8mooAK5lgktMBgMhu8PI3gMBoPhOiGH0WYyciCJAAAg\n",
       "AElEQVSzSalUYn5+npMnT+LxeHC5XOzcuVMdhgOBACMjI+RyOXK5nHI49KZ0vWFfnAJdDJXLZdrt\n",
       "NsePHycajRIMBhkeHt62n+aVQF+bHMLl7263S+b8eaY++1nmTpzgr1MpAi4XnU6HWq1Gu91W5V0A\n",
       "9Xq9pxyu3W7T6nT400SCX718mef/63/F/ju/w21Hjryk2OrreY9Cq9XiwoULPPjggzz99NOsr69v\n",
       "CRFoNptKuOjlbQ6HA6fTid/vJ5lMsnPnTiYmJtixYwehUIh2u02z2aRYLHLp0iWeeeYZJicnt7zG\n",
       "dgLbYDAYDC+OiaU2GAyGl8HVBEWn0yGfz3Px4kVOnTrF7Ows1Wq1p99FyprGxsYYHBwkFAopt0N/\n",
       "nrgm+teAiqpeXFzk61//Oo899hgrKys3/BAs7hNciaaur6yQ+fznWXjuOb6STqvQgmq1qgRAp9Oh\n",
       "VCqp9dZqNSzLUkKhXC7jcDr5f9NpPGfOcOKTn2Tm0iXa7fYNCy2QtbTbbS5dusQDDzzAt7/9bdbX\n",
       "11WZGWyIIfkjoq/dbqu+G4mgjsfjjI2NsX//fvbu3UsymcTtduPxeLDb7aytrXHy5EnOnj3L8vIy\n",
       "lmVt6+iY+TsGg8Hw0jGCx2AwGK4T/ULDsixWV1eZmZnh4sWLKslLnAy3283AwAATExOMjo4Sj8cJ\n",
       "h8MqgEBPP5NmfXECZLYPQLVa5fLly/zTP/0Tx44dI5vN9qzlanNkXi56PHOP25PPk/3ylzn19a/z\n",
       "lcFBANW8Lwf4drtNo9HA5XJhWRb1el2tUXpZAoGAKl37TDRK4OxZzn760xSz2R5ReD14sWu1Wi1m\n",
       "Z2d58MEHOXbsGMvLyypRT2YkWZalorLl+xJNLalswWCQwcFB9u3bx4EDBxgdHcXr9arHW60WS0tL\n",
       "TE5OkslkKJVKW8SOLoQNBoPB8NIwgsdgMBheBvrBUz+ciuMhA0lPnz7NmTNnKBaLAOqgG4/H2bdv\n",
       "H+Pj4wwMDBCLxfB6vbjd7p4+HnktPbJaDtutVotms8mlS5f42te+xuOPP87q6qrq+emfZ3M9kf4U\n",
       "t9u9IchyOdb/+q/5zt/9HV8dGuoRaeLsyM+4Nkvc+pvxRciJYyLf/8N4nMY3v8nKF79It9m8LvfS\n",
       "H/8twQPyWLPZZHZ2lr/7u7/jkUceYWVlhXq9Tr1eV+uTfRBxJs6O3KPT6VQzmCYmJrj55psZHx8n\n",
       "EAion221WqysrDA1NcXc3Bzr6+tqiKm+nn4hazAYDIZrY3p4DAaD4RWk3W5TLBaZnZ3lzJkzJBIJ\n",
       "brrpJsbGxlSiVyQSoVqtUiwW6XQ61Ov1jbk0lUpPApouCvQeHSkpsyyLc+fOKXfhLW95C6lUSoUY\n",
       "iLjQuR6lUXLQdzqdNKanmf3v/51v//iPk3vySRwOh/qjl73J6zqdTiXiJIVNTzbrdDo0Gg3V+/Nn\n",
       "o6N8+vd/Hz70Iexu93VZu76n7XZbCZBGo8H09DQPPvggX//618lkMkpE9vfuiIiT90Pfk2AwSCqV\n",
       "YteuXRw4cICxsTH8fr963U6nQ6FQ4NKlS0xOTrK4uKiCCgwGg8Hw8jGCx2AwGF5But2uihk+f/48\n",
       "sViMUCjE8PAwXq9XNbLv3r2bRqNBs9lUYQT9/TuCCJdms6mcIMuy1JyaM2fOqDKrN73pTaTTaUKh\n",
       "UM/PysH8evTB6MNOYaO3aHl5WSWqSb+ONPSLsJHyPhERIhrkmvKn2WzidDppNptbyvVeLlJ+JlHa\n",
       "4kAVCgUmJyf553/+Zx577DHW1tZUoII4N81Nl0l+Bq4ISHmO3+8nEokQj8eJxWLEYjGCwaB6XZm5\n",
       "Mz09zdmzZ5menmZ1dZVisaj6f4yTYzAYDC8PI3gMBoPhFUI/qFqWxeLiIlNTUwwMDDA6OsrExIQS\n",
       "BMlkUg3prNVqPb074tgIet+MCAURByJ+zp49S7VaZXl5mbvuuov9+/cTCoW2jU++XvfaKRSwzpzB\n",
       "fccd1Gs1fD6felz6doCePhd9oGq/wBO3pd1uq6b+ZrNJ7uBBKo89RvCd78Tmcr2sdcvryZok7vvU\n",
       "qVM88MADHD9+nLW1NZxOZ0/qmtPp7LknuOLCibMjw0WHhoZIpVIqqrter6s+LcuymJ6e5tlnn+XU\n",
       "qVMsLy9TKpVUap0IQoPBYDD84BjBYzAYDK8wUppVKpWYm5tjcnKS4eFhhoeHicfjeDweHA4Hg5sN\n",
       "/oASOZ1OR4kdcSHkUO3xeGi1WiriWdwkeXx+fp5HHnmEfD7PPffcw+HDhwmHw9dd8Chn5+JFip/7\n",
       "HLE/+RNa99+v7lsfyCnDN/V5PcFgkHa7TaVSUfesOy56Hw/A5Ac+wMCv/RrjL7yAMxZ7WWsXUQUb\n",
       "+7u8vMy3vvUtHnnkEU6ePEmpVMLtdlOpVNR6G42Gcl/0OUnyb6fTidfrJRKJkEgkGBgYIBqN0ul0\n",
       "WFxcVINH3W436+vrnDhxgmeffZZz586xuLiIZVkmhc1gMBiuI0bwGAwGwyuMHIhrtRqrq6tcunSJ\n",
       "VCrFjh07SCQS+Hw+5QrIHJ1arabSylqtFsViUfWyiOjpDzAQYeTxeOh2u9TrddbW1njqqacoFApk\n",
       "s1nuuOMO4vG46qu5nthsNrqb9yvOhLyGCAFp6BeXZGhoiKGhITqdDjMzM6ysrCiBo5fKibDTy96u\n",
       "B06nk1arRblcZm5ujkceeYRHH31UxYh3Oh18Pp9yl3QB53K5tggeh8OB1+slFosxMjKiIse9Xi/1\n",
       "ep2lpSXW1taUGMzn88zMzHDp0iUWFxfJ5XJqOK3p4TEYDIbrgxE8BoPB8Aoj7kS73VYDSePxOIOD\n",
       "gwwMDOD1elUTu81mI51Oc+TIkZ7oY7vdrmKKRRDoM15ECLk2S7wkQUwExtNPP83KygqZTIa77rqL\n",
       "nTt3EggErltogd1uRzwYh8NBOBwmn8/3JM3Z7XbVA+PxeEgmk7z97W9nz549NJtNvvWtb/H000+r\n",
       "hDk59IvAEVfL6dz4r+t6eCCtVotsNsvzzz/PI4880vP60nek9xdZltUTEy6CThc70WiU4eFhJiYm\n",
       "2Lt3L4lEgk6nQy6XI5PJsLy8rNysUqlEJpNhcXGRQqGAZVlqbXrposFgMBh+cIzgMRgMhlcIPaoY\n",
       "UE3vhUKBubk5zp8/z+joqHID5CDvdDoZGxtTM2vEudFLwfob/cUNkGAAp9OJx+NRj9frdS5evEix\n",
       "WGRubo63v/3tHD16lEQi8aIlbv3rl+fq4QLqsc01uFwuUqkUKysrAKrkTn5GHJBbb72Vd7zjHezY\n",
       "sYNms4nL5aJcLisRovctSe9RJBJhcHBQCSx9fd8P7XabWq3GwsICTz75JI8//jiTk5Pk83na7bYS\n",
       "aE6nk0qlovZHd6/kOfLe+Hw+QqEQyWSSnTt3MjExwe7duwkEAlQqFRqNhnLvqtUqzWaTtbU1FhYW\n",
       "WFlZ6RlMu90eGwwGg+EHwwgeg8FgeIXpn6XTaDRYWlri0qVLxGIxIpEIfr+fZDKpHAOHw8H+/ft7\n",
       "mtaltEuiq/Xri8Mg/xb3R8rIpCRrYWGBWq3G8vIy8/Pz3HXXXSQSCYLBYM9at5vZI0JL1qLHKouT\n",
       "w2ap165duzh79uyWEALdFbn55psZHBxU5W1vectbVPz0qVOnKBQKOJ1OLMtS/T/79+/nDW94A6ta\n",
       "OZ96bXpFZr9Yk8cty2JhYYGzZ8/y0EMPMTk5ydLS0v/f3p3Hxn3edx7/PHPzGN6HRFE2aYo6KNux\n",
       "FCGbpPFWXiRBeiVBt05SoEWwbbNAu7sNFkXQJEDbpCiyRf/Y3QKL/LHbA0FRZJFN0TTFbnfjppab\n",
       "Am5sJ1J0UiIpUuIh3sdwhsfMcJ79g/M8/nFMHY4lDv3z+wUI/M3BmR/nMY3fh9/n+T5aXV31z3GB\n",
       "slgs+mlvbrPXYKMFFzpdg4LOzk4dPXpUZ86c0ZEjR9Ta2qpYLKZMJqNMJuO/Z3NzU7Ozs7p586Zm\n",
       "Zma0ubn5hgYITGkDgIeDwAMAe8RdhBcKBa2trWlqakp1dXW+ZXEikVBjY6N/vrVWvb29fq+a4D4v\n",
       "rmoT3JhS0o6qg5vO5tbruC5ki4uLunLliqanp3Xp0iWdPXtWp06d8ufgGiC4SpG78A62X3ahKhg2\n",
       "ItGoTCSi5uZmnTlzRhcuXNDt27f9HjyFQkE1NTUqlUp+SlssFlM+n/fnODAwoO9973tqampSLpfT\n",
       "xsaG0um01tbW1NzcrJ/5mZ9RKpVyH9CObnbBc3Tn7267kLGysqKRkRG99NJL+ud//mdNTk4ql8v5\n",
       "qWqV66KCG5EGP1u32WosFlMikVBDQ4Pa2tp07Ngxvf/979epU6d85z0Xitxms8ViUcvLy5qamtLi\n",
       "4uKuYQcA8PAQeABgD7nqgauyRCIR1dXVKZ1OKx6P+/bRknwI6O3tVTQaVTweVywWUzwe18TEhJaW\n",
       "liS9Po1N2jnFzH11m5IGA5NrfTw/P68rV67o9OnTeu655/Tkk0+qpaXF7+8jvT61yq1bcRf+8Xjc\n",
       "Vzu2trZkamsV7+mRbtzQsWPH9MEPflDf/OY3tbq66qfjpVIpJZNJHTx40K9XcZUo15zB/ay1tbVK\n",
       "JBJ+3c6zzz6r973vfSqeP6/kqVOKlvcdikQib2jA4F5T2m4Jvry8rNHRUX3ve9/Tq6++qvHxcS0s\n",
       "LPhNXoNNIFwlKhiknGAzBTd2TU1N6ujo0NGjR/Xe975X7373u9XR0bFjg1XXPc+N1+LiomZnZ5XJ\n",
       "ZHZtbc00NgB4eAg8APCIBC9cg1PFpO3qSzab1fz8vIaHh31r6ng8rr6+PtXX1/twJEmHDh3S1taW\n",
       "DwDS9lqZTCaj1dVVv94nuCdP8BxcAwRXlbDWanNzU5ubmz74XL58We9973v1gQ98QI899pgaGhrU\n",
       "3NzsX8+taXFVCxc2/NqWvj41/fqva/azn9XB73xHzz33nGZmZnTu3DkVCgVfmYlGo6qtrdXU1JRm\n",
       "Z2eVTCa1urqq5eVlvfLKKz4YNTY2+grWu971Lj3//PNqaGjQreef1+OXLsnU1ysWaCkd3Py0WCyq\n",
       "UCjsCDrnz5/X7OyslpaW3rBWx72G+1e5rsmFHLcWKRaLqb6+Xi0tLeru7tbRo0d1+vRpPfPMM+ro\n",
       "6PAVMFchy2azWllZUS6X0+rqqpaWlnyrawDAo0XgAYBHKBhAXLUguO9LJpPRxMSEEomEr2iUSiX1\n",
       "9/ervr7eNyQwxqinp8e3SHYVkKmpKf9ewT1spJ3VCFcBCU7VkrbDx/r6ujY2NpTL5TQxMaGXX35Z\n",
       "Tz75pN797nfr9OnTSqfTqq+v900Qgu2i8/m8D1HFYtF3ajPGqK2tTb/wC7+gaDSq69evK5vN+nN3\n",
       "+9m88MILamho8Buzzs7OKpVKqbu7W01NTdrc3FRzc7Oef/55Pf300zs3XQ2sBwpOi1tbW9Pt27c1\n",
       "Pj6ul19+WdeuXdPExISWl5e1vLwsa62SyeSOYOPW7LhgVxlW3TqjZDLpu+q1traqq6tLAwMDOn36\n",
       "tI4fP+7XYQW7zC0uLmp0dFRjY2O6c+eOZmZmtLi4uKML347mD4QgAHioCDwA8AjtdvEaXKPhqhDz\n",
       "8/MaGxvzF8Cu0uMCjqtCHDhwQGfOnFF9fb1SqZSvuEjye/cEWykHw5W0c6PNYHMD10xhc3NTuVxO\n",
       "k5OT+v73v6/Dhw9rYGBAp06dUm9vr5qamlRTU+PfOx6Pa2NjQ7W1tdvHyaRihw+rcOOGEseOqaOj\n",
       "Qx//+Mf10ksv6eLFi36dUjqd9lPOlpaWFIlEtLi46NcmuXUxiURCTz31lE6fPr19jpcuKXHypEws\n",
       "pkg5WLj20SsrK1peXtbly5f1T//0T7p48aImJiZkrdXa2pry+bzfoyiXy/n3D45TcBpacDqbq+q4\n",
       "jVJbW1vV3d3tg+Hx48fV2Ni4o5HC1taW5ufnNTQ0pMuXL2twcFDDw8OamJhQJpPxn/3d2k/TlhoA\n",
       "Hg4CDwA8IpUVnbuFn62tLS0sLPhOaslkUolEQqlUSocOHdqx2D0Siairq0vRaFTJZFINDQ2qq6tT\n",
       "MpnUwsKCVldXlc1md1ysBzurufNwlaN8Pu+bIripbm4K1tramubn5zU4OKh//Md/VG9vr06ePKmB\n",
       "gQE9/vjj/n3d90lS8vhxNX7+81r+ylfU8ju/o8gTT6ipqUkHDhzQ+Pi4NjY21NDQoHg8rrW1Nd95\n",
       "zlWPgpWRZDKpzc1NFYtFraysKHrzpjJf+IK6/uZvtFYqaX1+XoVCQXNzcxocHNTly5d1/fp1jY+P\n",
       "a3Fx0bd+ttb6qYDr6+uStltju4qOa2wQbFAQ/Lzi8biSyaTq6urU3Nys1tZW9fT06MSJE3rmmWd0\n",
       "5MgRpdNp/7O40LS8vKzBwUFdvHhR165d040bNzQ6OqqZmRm/qWxwnFi7AwCPBoEHAB6xysBT2VXN\n",
       "GKOVlRXfarqxsdGvc4lGo+rq6vJrfFwYaGtrUyqVUjqd9lPKampqNDMz4187n8/7CkgsFvPrSfL5\n",
       "/I49fNx0MLdpaXAtUDabVS6X0+LiosbGxvTaa6+pvb1dBw4c0MGDB/X000/rmWee8cGntrZW8cce\n",
       "U8MXv6j53/1dtfz+72u5rk75fF5NTU26c+eO1tfXfQMGF0bc1Lj19XU1Nzf7CkipVNLs7KzGvvtd\n",
       "2S9/WS1/9Vcau3NHFy5c0Pj4uIaGhjQ3N6eZmRktLCxofX1dhULB/7PW+k5wpVLJN2Nwa3zc2LjK\n",
       "mlvX4wKg21+nsbFRra2t6uzs9FWvd73rXerp6fFrk4wxSiQSkqRsNquJiQldv35dg4ODunnzpiYm\n",
       "Jvx+O27cgw0Lgu20AQAPD4EHAB6xe+2nEpx6ViwWNT09rWg0qs3NTb9G5vTp0+ru7lZNTY2fwmat\n",
       "VTqdVl9fn5LJpOrr69XU1KT6+nrV1NRofn5emUxG6+vr22trApuVVjY1cN3J3MaYu20qWigUlM/n\n",
       "lc1mNTs7q6GhISWTSb344ou+S1lHR4cOHTqkw4cPq7u7W+lf+zVN/cqvyHzuc5qYm9P8/Lwk+Qv+\n",
       "YFXHvXcsFtP8/Lz/zEqlkopDQ1r9oz/S333iE8r88R9rYWFBs7OzWl1dVSaTUaFQ8JWgyvVLrhV3\n",
       "sOGAq+TE43Hfec41YHDT3KLRqBKJhA87bW1t6urqUl9fn5566ikNDAyoo6PDB5zgZ7qxsaHR0VG9\n",
       "+uqr+tGPfqTr16/7yo4b12DQCQqGHYIPADwcBB4AqLJgU4NcLqfZ2Vl/8W+M0eLionp6enTy5Ekd\n",
       "PHhQknyFpK6uTv39/Wpra9OBAwfU0tKiuro61dbWan5+XsvLy36fmeAiffe+TrDSEVxj5M4tGJgK\n",
       "hYKKxaLW19e1tLSkqakpDQ0N+alftbW1qq+vV21trR47cEAf/q3f0vhP/qTmU6kdrx2JRHTo0CEf\n",
       "QlZXVzVXDka5XE7FQkHtuZx+bnRUv/3448q/+KLvLOcCjvvcXIhx4TFYVavcgDT4c1eGHhd06urq\n",
       "VF9fr4aGBrW2turxxx/XsWPH9OSTT+rIkSN+vY6rCLnXzuVyGh4e1iuvvKIrV674ys7i4uKOFthU\n",
       "cgBg7xB4AKBKKjueuYv3lZUVvyfNysqKFhcXNTIyovPnz+vUqVM6c+aMOjs7d1w8Nzc368SJE2po\n",
       "aFBjY6OuXr2qVCqlmpoaXwlxG3lKO/fWkXa2za6sAgUDmfvnKhTB1s7BqWDxeFzRaFSXrdWPolH9\n",
       "5t/9nf6kvV0RY2TicS2mUqqrq5Mkv0dPJpPRzJ07is/MKJ/JaKtQ0L9dX9cvxWIqjI35gON+Zle9\n",
       "CX6elZt27hYqgiHIBSXX4c11y2tqalJLS4va29vV19enZ555RsePH1dXV5cSiYSfWhj8bBYXFzU8\n",
       "PKwLFy7oBz/4ga5eveq7w62vr+9oGFH53wAA4NEh8ABAFbkL4GAFYmtrS7lczk/Vmp+fV3t7u5LJ\n",
       "pIaHhzUzM6MPfehDOnz48I6F/ul0Wv39/WpqalJ7e7uuXr2q0dFRTU9PKx6P+45qrkLi1rAEQ0/w\n",
       "HCoX1LuvwWDkQkjwseBz4/G4stGo/sAY/edyC+0lY/QHsZi24nFdGR1VNBaTrFW+UFBpfV1/UN6Q\n",
       "dEvSzxeLsuW1OJVNICrPKdhO2gUz17Z6t/2J3H3xeFw1NTW++1w6nVZHR4c6Ozt1/PhxnTx5UseP\n",
       "H1dLS8uOz9u99sbGhu7cuaNr167p8uXLunbtmgYHBzU0NOQ3Fq3smkfIAYC9Q+ABgCoJXvRWrulw\n",
       "61ry+byWlpY0Pz+v7u5u33ksmUzqQx/6kDo7O3e0V45EImpvb1d9fb06OjrU1dWloaEhjYyMaGFh\n",
       "QWtra8pkMlpYWFCxWNyxP48TDDXBqoS7YA/uV1NTU7PrVDl3ke8u9MciEf3r8uu0S/rvhYJUKMiU\n",
       "u6a571+3Vj8fOI9gBcc9LxjQYrGYDzrBjV3d99/tM3f7AblpeOl0Wul0Wg0NDero6FBfX596e3v1\n",
       "9NNPq6ury7cHD262Km23FZ+YmNBrr73mp7C5bmwrKys7Qlpl2Nnt/AAADx+BBwCqpHLTyUpuupi1\n",
       "VvPz89rc3NSBAwdUW1url19+WS0tLXrf+97n2zwHF9/X19err69P7e3t6unpUW9vr4aHh3X79m1N\n",
       "T0/LGKNUKrXr3j3BdTu7VSSC62aClYtghSdYWXEd0dzPPBeL6efLz3fnXSwWtbW19YZ/dXV1u56P\n",
       "++oCWWWlqrLaFJxy57qppVIpv4FrS0uLOjs71dXVpSeeeEIDAwN+rY77WYLv77rdDQ8P60c/+pFv\n",
       "PX3r1i3duXPHT0sMniubigJAdRB4AKCKKtdwBKdaBQNRJBLR6uqqCoWCv3i/ePGi0um0jh49qvb2\n",
       "dt9G2YnFYmppaVFjY6MOHTqknp4e3bx5U2NjY5qamtLs7KwWFhaUzWa1urqqjY0NHz5ccJJ2XqhX\n",
       "VnuCG58G1/9U/oyuQ5okH4C2trZ8AHGPudd0P4ebMrfbdLTK4+BzotHojoDjKjpufVFtba1vTNDU\n",
       "1KTu7m4dOXJEfX19Onz4sA4ePKja2lofvNzrSNtT2GZmZjQ5OalXX31Vly9f1ujoqG7evKm5uTn/\n",
       "Od4P4QcA9gaBBwCqZLd21cGL9q2tLT9dzV10b25uanx8XLFYTBcuXPDhJx6Pq6GhYcdFfjAstbS0\n",
       "qKWlRUePHtXY2JiuXbum4eFhTU1NaXFxUYuLi1pdXdXa2po2Njb8JqjBKWUulAQrHsGNNqXXA0gw\n",
       "uLkpbq49tKsuuc8gOH3O7R0UfL/K9TnBaW2pVGpHMKvsApdIJPxnkkgkfGXHTWHr7u5WV1eX+vv7\n",
       "NTAwsGNfnWBDBneum5ubmp6e1sWLF/XDH/5Qw8PDGhkZ0c2bN/0UtuCUP1d5ojkBAFQPgQcA9rFg\n",
       "4HDTtwqFgm7fvu0318xms5qcnNTJkyfV09Pjp4FJ2jHVKxKJqK6uTidOnFBvb68mJiZ05coVjY2N\n",
       "aWJiQktLS1peXvbhxzU3CIaQYIc2112tssJS2UnNnUewGuOCgfs+JxjW3PNcUApWWYKd4ILn4wJK\n",
       "IpFQMpn0G42mUimlUim/Z1FbW5taW1t1/PhxHT9+XP39/WpsbPTnG/z5XIBx+w9dvXpVV69e1Y0b\n",
       "NzQyMqL5+XltbGzs2AfInbtD2AGA6iHwAMA+FwwArqriOoNtbW1pfX1dy8vLWlhY0MLCgl+7E4/H\n",
       "Je2syASbDfT396unp8dfyA8ODvoNMl0baxd88vm8n4oWXPNTGVAqp765ts8uBAW/VoajyilrrhLk\n",
       "Qp8LNMF20MYYH2ySyaSfYhfcEyiZTPoubDU1NWpra/NNCU6cOKG2tjbfajrIvcfa2pqmpqZ07do1\n",
       "Xbp0yW8k6qpjlWGHTmwAsL8QeADgbSC4nsetK3GtpV3r6qmpKY2Pj+vkyZMaGBhQb2+vGhsbd3RL\n",
       "C3Zlcy2ZDx06pNbWVvX392tmZkY3b97U4OCgxsfHlclk/FQ3V1Fygccdu6pPsPGAe79EInHXdtDu\n",
       "PCqnvwWfF1wLE4vF/BQ195xoNOrbSrsmBLFYTLW1taqpqVFjY6PS6bQaGxtVU1OjZDKptrY29ff3\n",
       "6+jRo76qUxl2SqWSNjY2NDU1pVu3bvmwMzQ0pPHxcb/2KdiWe7efDwBQfQQeAHgby+fzWlhY0Pr6\n",
       "ulZWVjQzM6Nbt25pZGRE/f39OnLkiI4cOaLm5mZJ8nvvBLuoSVJNTY26u7t18OBB9fT06IknntDo\n",
       "6Ki/uF9YWFAul9P6+rrW19d92HLVjWAjgmDoCbandu93r65lrmrjqjmui1twmpqbzua+ukqOm7KW\n",
       "TqfV3NysxsZGdXR0qLGxUY2Njf614vG4Ojs7VV9fr83ynj9uepwkbW5u+qYEly5d0o0bN3yHu/n5\n",
       "eWUyGb+RqPuZCDgAsH8ReADgbWC3BgeSfNjY2NjQ2tqalpeXNT09rdu3b+vy5cs6cuSIzpw5o6ee\n",
       "esq3tA7u2+MEu5u1tLSotbVVR48e1ejoqBYWFjQ3N6eVlRWtrKxoeXnZV30ymYyv9Lhpb8FqT7Dq\n",
       "s1u4qbztwk40GvXd2oJ75sTjcSUSCdXX1/t/tbW1qq+v91PWGhsb1dLSooaGBrW3tyuVSikWi6lY\n",
       "LCqXy/n9hzY3N1VXV+cDSzab1dzcnK9wjY2NaWxsTJOTk36aX3BNk5seGDx/Wk8DwP5D4AGAfWq3\n",
       "tSC7dUBz09zcnjq5XM5vLjozM6PR0VFdunRJp06d0lNPPaWuri4lk8ld184Ev9bW1uqJJ55QV1eX\n",
       "r+isr69rdXVV2WxW2WxWS0tLWltb0+rqqlZXV5XL5bS2tqb19XVfTXKhLLieZ7dW19L21D03dS0W\n",
       "i/lj10K6rq5ODQ0NamtrU3Nzs6/U1NbW+iqN68TmpsQVi0Vtbm76Tnfuvd10QLceym0aeuPGDY2N\n",
       "jWl+fl5LS0vKZDLKZrN+3VLlnkS7BZzdpukBAKqDwAMA+9huF8vB5gNuEb+7EJiBuaIAABSUSURB\n",
       "VA82FlhbW9Pi4qJmZ2c1PT2t4eFhvfbaazpx4oSOHz+unp4etbS07AgcwZbYbvpXPB5Xc3PzG9pR\n",
       "b21tqVAo+MCTzWZ3BJ7NzU2/AWew0UGw6UBlR7dYLOY7qsXjcbW2tioWi/mg46o5jY2NSqVSyufz\n",
       "isfjb1iDI73e8tqtIyoWi1pfX1cul9Pi4qIkaXp6WtPT07p165ZGR0c1MTGhubk5ZTIZbWxsKJfL\n",
       "+fOudK+pbJVNHAAA1UPgAYB9arcNPIP332tzy62tLR88lpeXfVOD0dFRDQ4OqqenR48//riOHTum\n",
       "kydP6uDBg/613XSyWCy2Y/1N8DxcEEqlUr7Nc7ANtbQdOFZXV3cEHheUKjutuWlsiUTCT01LJpO+\n",
       "NbSkXffbSSQSb/jM3GORSGTHexWLRS0tLWlkZES3b9/W0tKSJicnNT09rTt37vh1Sq7qE/x8g3vx\n",
       "VI7P3ao5hB0A2B8IPADwNnG/C+i7VYMKhYKWl5eVy+U0Pz+vyclJXb9+Xa2trTp48KAOHTqkvr4+\n",
       "9fT06ODBg2ptbVVDQ4Ok7SYHzc3NvpIUbDrgVO6xE7y/sbHxvue8W3XGcdPQgreDwS8YNtzanGBL\n",
       "7Gg0qrW1NY2Njen69esaHBzUyMiIJicntbS0pNnZWd+MYXNz866bhN5tDZU7D8INAOxfBB4ACKnK\n",
       "jmhuwX02m9X8/LwmJiY0PDys5uZmtbW1qaWlRS0tLX5Tzs7OTvX19am7u9sv/q+sMgWrKbvZbWpX\n",
       "MODcK+xI2hF2Km8bY5TP5/0eOm7fIUm+a93w8LAmJyc1PDysoaEh3bp1S3Nzcz4AuqqTm7Z2v/MB\n",
       "ALz9EHgAIKR2awrgKiHFYtF3WVtYWNDt27f9+hnX5aytrU09PT3q7+9XX1+fHnvsMR04cEDpdNqH\n",
       "i7tNu7vX8ZtRWdEJBh5rrZ/StrW1pdXVVV+1uXXrliYnJ3Xr1i2/RmdyclIrKyu+AcPdqja0mQaA\n",
       "cCHwAECI3W3DT6dUKvkA4B5bXFzUnTt3lEwmdfnyZR06dEiHDx9WT0+Pjh49qt7eXh04cMB3StvN\n",
       "3cJEZcXHbagaPMdgOAoGHPea1lrflMFVahYWFjQ9Pa2ZmRlNT09rfHxcd+7c0dzcnFZXV7WysqJc\n",
       "Lrdre2yHTUMBIJwIPAAQcvdbY+LaWjsbGxva3NxUJBJRJpPR8vKyRkZG1NzcrO7ubr9BaVtbm9/U\n",
       "002Da25u9t3UJN113c+DchubugYMrsva0tKSlpeX/f44s7Ozmp2d1eLiopaXl7W0tOT3DCoWi7LW\n",
       "+uYFldPwdmuVDQAIDwIPALxDubbWruoR7LJWKpW0tbWlzc1NFYtFrays+H19BgcHfWvozs5OPwWu\n",
       "qalJ6XRa6XTabwRaX1/vNw51nd/cZqLS61Ps3FoaF0zc+7sW29lsVplMxldrXLDJZrO+0rOysuJv\n",
       "r6+v+9er9CCd1NhHBwDCg8ADAO8gldWW4BSvykqPpB1tqUulklZWVpTJZBSJRJRMJjUyMqL6+no1\n",
       "NDSopqZGqVRKdXV1SqfTqq2tVTKZ9JuHJpNJf9t1U4tEIsrn88rn8yoWi/793DqjbDbrKzzZbFYb\n",
       "Gxt+f5y1tTXNzc3t2u7anXNwo9HK4HK/IMP0NgAIBwIPALzDVF78V3ZzCz4WrPiUSiW/1scYo42N\n",
       "DWUyGS0tLfkmBsYYJZNJ1dfXK5VKqVQqvSHwxONxH3iKxaLvHufCVnBjUxfC3HQ29/6uKuSec7dK\n",
       "TGWAcz9rcI1RcO1Q8HVceAIAvL0ReADgHeRuU7zudmFf2XygsulAsN21tB0e1tbWtLKy4sOSq+S4\n",
       "zUXdVDr3+q6iEwwYLoAUi8Udzwue648TRu5W6SHYAEB4EXgAAG9ZZWBw08uCbaUdd9sFoWBDgUrB\n",
       "tT7uK+EEAPBmEHgAAA9VMJzstg4mePt+08YepMEAAAD3QuABAPzYKqs3u21E6qo091K5psh9dW2t\n",
       "7/aehCAAwP0QeAAAj8xuDRKCX3fboPR+3dR+3D19AADvTAQeAMCeuV/DgQcJM1R1AABvBoEHAPBj\n",
       "ezPVl3s1JXjQ5wMA8GYReAAAj8z9QstuU9oAAHiYCDwAgIeGqgwAYL+5f+scAAAAAHibIvAAAAAA\n",
       "CC0CDwAAAIDQIvAAAAAACC0CDwAAAIDQIvAAAAAACC0CDwAAAIDQIvAAAAAACC0CDwAAAIDQIvAA\n",
       "AAAACC0CDwAAAIDQIvAAAAAACK0HCjzGmKgx5rwx5m/Lt1uMMS8YY24YY75jjGkKPPcLxpghY8yg\n",
       "MebDj+rEAQAAAOB+HrTC81lJVyXZ8u3PS3rBWntU0nfLt2WMGZD0SUkDkj4i6avGGKpIAAAAAKri\n",
       "vmHEGNMt6acl/YkkU777o5K+Vj7+mqSPl48/Junr1tqCtXZM0rCk9zzMEwYAAACAB/Ug1Zf/Iulz\n",
       "kkqB+zqttTPl4xlJneXjLkkTgedNSDr0Vk8SAAAAAH4csXs9aIz5WUmz1trzxpizuz3HWmuNMXa3\n",
       "x9xTdrvzS1/6kj8+e/aszp7d9eUBAAAAYIdz587p3LlzD/TcewYeSe+X9FFjzE9LSklqMMb8haQZ\n",
       "Y8wBa+20MeagpNny8yclHQ58f3f5vjcIBh4AAAAAeFCVBZMvf/nLd33uPae0WWu/aK09bK3tlfQp\n",
       "Sf9grf1lSd+W9Ony0z4t6Vvl429L+pQxJmGM6ZXUL+mVH/PnAAAAAIC35H4VnkpuetofSvqGMeZX\n",
       "JY1J+oQkWWuvGmO+oe2ObkVJv2Gtvdd0NwAAAAB4ZB448FhrX5L0Uvl4UdIH7/K8r0j6ykM5OwAA\n",
       "AAB4C9gjBwAAAEBoEXgAAAAAhBaBBwAAAEBoEXgAAAAAhBaBBwAAAEBoEXgAAAAAhBaBBwAAAEBo\n",
       "EXgAAAAAhBaBBwAAAEBoEXgAAAAAhBaBBwAAAEBoEXgAAAAAhBaBBwAAAEBoEXgAAAAAhBaBBwAA\n",
       "AEBoEXgAAAAAhBaBBwAAAEBoEXgAAAAAhBaBBwAAAEBoEXgAAAAAhBaBBwAAAEBoEXgAAAAAhBaB\n",
       "BwAAAEBoEXgAAAAAhBaBBwAAAEBoEXgAAAAAhBaBBwAAAEBoEXgAAAAAhBaBBwAAAEBoEXgAAAAA\n",
       "hBaBBwAAAEBoEXgAAAAAhBaBBwAAAEBoEXgAAAAAhBaBBwAAAEBoEXgAAAAAhBaBBwAAAEBoEXgA\n",
       "AAAAhBaBBwAAAEBoEXgAAAAAhBaBBwAAAEBoEXgAAAAAhBaBBwAAAEBoEXgAAAAAhBaBBwAAAEBo\n",
       "EXgAAAAAhBaBBwAAAEBoEXgAAAAAhBaBBwAAAEBoEXgAAAAAhBaBBwAAAEBoEXgAAAAAhBaBBwAA\n",
       "AEBoEXgAAAAAhBaBBwAAAEBoEXgAAAAAhBaBBwAAAEBoEXgAAAAAhBaBBwAAAEBoEXgAAAAAhBaB\n",
       "BwAAAEBoEXgAAAAAhBaBBwAAAEBoEXgAAAAAhBaBBwAAAEBoEXgAAAAAhBaBBwAAAEBoEXgAAAAA\n",
       "hBaBBwAAAEBoEXgAAAAAhBaBBwAAAEBoEXgAAAAAhBaBBwAAAEBoEXgAAAAAhBaBBwAAAEBoEXje\n",
       "pkqlkj82xviv1lp/GwAAAPuDuz4rFAr+vkKhIGtttU7pHSNW7RPAjycSeT2rlkolGWO0tbWlYrGo\n",
       "aDRK6AEAANgnrLX+j9Wx2OuX38YYFYtFxWIxrt0eIQLP21CpVFI+n1cymVShUFA+n1d9fb2i0agi\n",
       "kYjW19f5awEAAMA+YYxRIpHwt0ulkjY3N5VMJmWMIew8YgSetyFjjOLxuIwxisViikQiKpVKWltb\n",
       "UzQaVTqd1vz8fLVPEwAAAJKi0aj/I7W1VpFIRMlkUpFIhD9S7wECz9vU1taW8vm8ampqZK2VtVap\n",
       "VErLy8vK5XL88gAAAOwTxWJRW1tbO5YdRKNRvxQBjxZNC96GXGUnkUj4sON+YVx5FAAAAPuDtVZ1\n",
       "dXW+YYELPcVikT9S7wFTjQ/ZGGMZ3LemVCppY2PDV3jcL0yxWNQPfvADra2tVfsUAQAAUGat1bPP\n",
       "Pqva2lptbW0pFoupVCopEomwhuchKHcr3vWDJPC8TZVKJf9Lks/nfXcPa+2O7h8AAACorlKp5EOO\n",
       "tF3ZiUQiikajbCnykBB4Qsy1OXR/HXDHAAAA2B8qQ427DiboPDwEHgAAAAChda/AQykAAAAAQGgR\n",
       "eAAAAACEFoEHAAAAQGgReAAAAACEFoEHAAAAQGgReAAAAACEFoEHAAAAQGg9UOAxxowZYy4aY84b\n",
       "Y14p39dijHnBGHPDGPMdY0xT4PlfMMYMGWMGjTEfflQnDwAAAAD38qAVHivprLX2lLX2PeX7Pi/p\n",
       "BWvtUUnfLd+WMWZA0iclDUj6iKSvGmOoJAEAAADYc28miFTuXPpRSV8rH39N0sfLxx+T9HVrbcFa\n",
       "OyZpWNJ7BAAAAAB77M1UeP7eGPOaMeYz5fs6rbUz5eMZSZ3l4y5JE4HvnZB06C2fKQAAAAC8SbEH\n",
       "fN5PWGvvGGPaJb1gjBkMPmittcYYe4/vf8NjX/rSl/zx2bNndfbs2Qc8FQAAAADvZOfOndO5c+ce\n",
       "6LnG2nvllF2+wZjfk5SV9Bltr+uZNsYclPSitfa4MebzkmSt/cPy8/+vpN+z1n4/8Br2zb4vAAAA\n",
       "AOzGGCNrbeUSHEkPMKXNGFNrjEmXj+skfVjSJUnflvTp8tM+Lelb5eNvS/qUMSZhjOmV1C/plbf2\n",
       "IwAAAADAm/cgU9o6Jf21McY9/y+ttd8xxrwm6RvGmF+VNCbpE5Jkrb1qjPmGpKuSipJ+g3IOAAAA\n",
       "gGp401PaHsqbMqUNAAAAwEPylqa0AQAAAMDbFYEHAAAAQGgReAAAAACEFoEHAAAAQGgReAAAAACE\n",
       "FoEHAAAAQGgReAAAAACEFoEHAAAAQGgReAAAAACEFoEHAAAAQGgReAAAAACEFoEHAAAAQGgReAAA\n",
       "AACEFoEHAAAAQGgReAAAAACEFoEHAAAAQGgReAAAAACEFoEHAAAAQGgReAAAAACEFoEHAAAAQGgR\n",
       "eAAAAACEFoEHAAAAQGgReAAAAACEFoEHAAAAQGgReAAAAACEFoEHAAAAQGgReAAAAACEFoEHAAAA\n",
       "QGgReAAAAACEFoEHAAAAQGgReAAAAACEFoEHAAAAQGgReAAAAACEFoEHAAAAQGgReAAAAACEFoEH\n",
       "AAAAQGgReAAAAACEFoEHAAAAQGgReAAAAACEFoEHAAAAQGgReAAAAACEFoEHAAAAQGgReAAAAACE\n",
       "FoEHAAAAQGhVLfCcO3euWm+Nu2BM9hfGY/9hTPYfxmT/YUz2H8Zk/2FM9haBBx5jsr8wHvsPY7L/\n",
       "MCb7D2Oy/zAm+w9jsreY0gYAAAAgtAg8AAAAAELLWGv3/k2N2fs3BQAAABBa1lqz2/1VCTwAAAAA\n",
       "sBeY0gYAAAAgtAg8AAAAAEKLwAMAAAAgtPY88BhjPmKMGTTGDBljfnuv3/+dyhjzZ8aYGWPMpcB9\n",
       "LcaYF4wxN4wx3zHGNAUe+0J5jAaNMR+uzlmHmzHmsDHmRWPMFWPMZWPMb5bvZ1yqxBiTMsZ83xhz\n",
       "wRhz1Rjzn8r3MyZVZIyJGmPOG2P+tnyb8agiY8yYMeZieUxeKd/HmFSRMabJGPNNY8y18v+7/gVj\n",
       "Uj3GmGPl3w/3b8UY85uMSfXsaeAxxkQl/TdJH5E0IOkXjTEn9vIc3sH+XNufe9DnJb1grT0q6bvl\n",
       "2zLGDEj6pLbH6COSvmqMoRr48BUk/Udr7UlJ75X078q/D4xLlVhrNyQ9Z619RtLTkp4zxnxAjEm1\n",
       "fVbSVUmuyw7jUV1W0llr7Slr7XvK9zEm1fXHkv6PtfaEtv/fNSjGpGqstdfLvx+nJL1b0pqkvxZj\n",
       "UjV7/WG+R9KwtXbMWluQ9D8lfWyPz+EdyVr7PUlLFXd/VNLXysdfk/Tx8vHHJH3dWluw1o5JGtb2\n",
       "2OEhstZOW2svlI+zkq5JOiTGpaqstWvlw4SkqLZ/bxiTKjHGdEv6aUl/Ism1G2U8qq+y9StjUiXG\n",
       "mEZJz1pr/0ySrLVFa+2KGJP94oPavvYdF2NSNXsdeA5JGg/cnijfh+rotNbOlI9nJHWWj7u0PTYO\n",
       "4/SIGWN6JJ2S9H0xLlVljIkYYy5o+7N/0Vp7RYxJNf0XSZ+TVArcx3hUl5X098aY14wxnynfx5hU\n",
       "T6+kOWPMnxtjfmiM+R/GmDoxJvvFpyR9vXzMmFTJXgceNv3Zp+z2hkz3Gh/G7hExxtRL+itJn7XW\n",
       "rgYfY1z2nrW2VJ7S1i3pXxpjnqt4nDHZI8aYn5U0a609rzdWFCQxHlXyE+WpOj+l7am4zwYfZEz2\n",
       "XEzSaUlftdaelpRTeaqUw5hUhzEmIennJP2vyscYk72114FnUtLhwO3D2plosbdmjDEHJMkYc1DS\n",
       "bPn+ynHqLt+Hh8wYE9d22PkLa+23ynczLvtAeUrI/9b2/GvGpDreL+mjxphRbf+F9F8ZY/5CjEdV\n",
       "WWvvlL/OaXtdwnvEmFTThKQJa+2r5dvf1HYAmmZMqu6nJP2g/Lsi8XtSNXsdeF6T1G+M6Smn3k9K\n",
       "+vYenwNe921Jny4ff1rStwL3f8oYkzDG9Erql/RKFc4v1IwxRtKfSrpqrf2vgYcYlyoxxrS5rjnG\n",
       "mBpJH5J0XoxJVVhrv2itPWyt7dX2tJB/sNb+shiPqjHG1Bpj0uXjOkkflnRJjEnVWGunJY0bY46W\n",
       "7/qgpCuS/laMSbX9ol6fzibxe1I1sb18M2tt0Rjz7yX9P20vBv5Ta+21vTyHdypjzNcl/aSkNmPM\n",
       "uKTflfSHkr5hjPlVSWOSPiFJ1tqrxphvaLsrUlHSb5RLr3i4fkLSL0m6aIw5X77vC2JcqumgpK+V\n",
       "u+NEtF15+255fBiT6nOfLb8j1dMp6a+3/16jmKS/tNZ+xxjzmhiTavoPkv6y/MfkEUn/RtvXWYxJ\n",
       "lZT/IPBBSZ8J3M3/u6rE8HkCAAAACCt6fAMAAAAILQIPAAAAgNAi8AAAAAAILQIPAAAAgNAi8AAA\n",
       "AAAILQIPAAAAgNAi8AAAAAAIrf8PS0hcMAoUP90AAAAASUVORK5CYII=\n"
      ],
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1029bd610>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "from skimage import data, color\n",
    "from skimage.transform import hough_circle\n",
    "from skimage.feature import peak_local_max, canny\n",
    "from skimage.draw import circle_perimeter\n",
    "from skimage.util import img_as_ubyte\n",
    "from skimage.io import imread\n",
    "\n",
    "\n",
    "# Load picture and detect edges\n",
    "# image = img_as_ubyte(data.coins()[0:95, 70:370])\n",
    "image = imread('test.jpeg')[..., 0]\n",
    "edges = canny(image, sigma=3, low_threshold=10, high_threshold=50)\n",
    "\n",
    "fig, ax = plt.subplots(ncols=1, nrows=1, figsize=(20, 10))\n",
    "\n",
    "# Detect two radii\n",
    "hough_radii = np.arange(13, 15, 2)\n",
    "hough_res = hough_circle(edges, hough_radii)\n",
    "\n",
    "centers = []\n",
    "accums = []\n",
    "radii = []\n",
    "\n",
    "for radius, h in zip(hough_radii, hough_res):\n",
    "    # For each radius, extract two circles\n",
    "    num_peaks = 5\n",
    "    peaks = peak_local_max(h, num_peaks=num_peaks)\n",
    "    centers.extend(peaks)\n",
    "    accums.extend(h[peaks[:, 0], peaks[:, 1]])\n",
    "    radii.extend([radius] * num_peaks)\n",
    "\n",
    "# Draw the most prominent 5 circles\n",
    "image = color.gray2rgb(image)\n",
    "for idx in np.argsort(accums)[::-1][:]:\n",
    "    center_x, center_y = centers[idx]\n",
    "    radius = radii[idx]\n",
    "    cx, cy = circle_perimeter(center_y, center_x, radius)\n",
    "    image[cy, cx] = (220, 20, 20)\n",
    "\n",
    "ax.imshow(image, cmap=plt.cm.gray)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 40,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[13, 13, 13, 13, 13]"
      ]
     },
     "execution_count": 40,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "radii"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(553, 785, 3)"
      ]
     },
     "execution_count": 14,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "image.shape"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 2",
   "language": "python",
   "name": "python2"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 2
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython2",
   "version": "2.7.10"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 0
}