{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import pandas as pd\n",
    "import matplotlib.pyplot as plt\n",
    "%matplotlib inline"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style>\n",
       "    .dataframe thead tr:only-child th {\n",
       "        text-align: right;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: left;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>TRACKID</th>\n",
       "      <th>DOWNLOAD_ACTIVITY_DATE</th>\n",
       "      <th>SUM(UNITS)</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Date</th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>2016-07-15</th>\n",
       "      <td>1960385</td>\n",
       "      <td>7/15/16</td>\n",
       "      <td>51900</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2016-07-16</th>\n",
       "      <td>1960385</td>\n",
       "      <td>7/16/16</td>\n",
       "      <td>36410</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2016-07-17</th>\n",
       "      <td>1960385</td>\n",
       "      <td>7/17/16</td>\n",
       "      <td>29182</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2016-07-18</th>\n",
       "      <td>1960385</td>\n",
       "      <td>7/18/16</td>\n",
       "      <td>29210</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2016-07-19</th>\n",
       "      <td>1960385</td>\n",
       "      <td>7/19/16</td>\n",
       "      <td>30309</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "            TRACKID DOWNLOAD_ACTIVITY_DATE  SUM(UNITS)\n",
       "Date                                                  \n",
       "2016-07-15  1960385                7/15/16       51900\n",
       "2016-07-16  1960385                7/16/16       36410\n",
       "2016-07-17  1960385                7/17/16       29182\n",
       "2016-07-18  1960385                7/18/16       29210\n",
       "2016-07-19  1960385                7/19/16       30309"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df = pd.read_csv('snap_yo_fingers.csv')\n",
    "df['Date'] = pd.to_datetime(df[\"DOWNLOAD_ACTIVITY_DATE\"])\n",
    "df_idx = df.set_index([\"Date\"], drop=True)\n",
    "df_idx.head(5)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "df_idx = df_idx.sort_index(axis=1, ascending=False)\n",
    "df_idx = df_idx.iloc[::-1]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.axes._subplots.AxesSubplot at 0x10e387650>"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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f3Mwtz3wIaIkka/ckrwDdHiNSNOIptyNPNQLhKKForM1dYkaas61o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\n06bE+8CMy023NUebMy6HTN1iOHdWEbM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QSUvj3a4rJf0glveW9JzCXELPSdon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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10ad60f10>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "data = df_idx[['SUM(UNITS)']]\n",
    "data.plot(y='SUM(UNITS)')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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NGBFiGwAgKwIbkDM6oQCAfhHYgJzZjncAAFgZgQ0YEfIaACArAhuQM1qiAIB+EdiAnLkt\nqVjWAwCQFYENGBHiGgAgKwIbkDMKawCAfhHYgBEhuAEAsiKwATmL9xIlsQEAsiGwATkjqAEA+kVg\nA0aEligAICsCG5CzqCVKYAMAZERgAwAAGHMENgAAgDFHYANyRisUANAvAhuQM7amAgD0i8AGjAhx\nDQCQFYENyBmFNQBAvwhswIgQ3AAAWRHYgJzZ6C2JDQCQDYENyBmTDQAA/SKwASNCbgMAZEVgA3Jm\nU28BAFgNgQ3IGZU1AEC/CGzAiBDcAABZEdiA3NEUBQD0h8AGAAAw5ghsQM5cK5SWKAAgKwIbkDNy\nGgCgXwQ2YEQIbgCArAhsQM7iliiRDQCQDYENyBlBDQDQLwIbMCLENgBAVgQ2IGfRKmwkNgBARgQ2\nIGcENQBAvwhswIgwlg0AkBWBDciZDZuixDUAQFYENgAAgDFHYAPyxt7vAIA+EdiAnJHXAAD9IrAB\nAACMOQIbkDO2pgIA9IvABuTM0gwFAPSJwAaMCLENAJAVgQ3IWdwSHe15AACKg8AGAAAw5ghsQM7i\nZT0osQEAsiGwATlzs0NpiQIAsiKwAQAAjDkCG5AzdjoAAPSLwAbkjcQGAOgTgQ0AAGDMEdiAnLnZ\nocwSBQBkRWADRoRZogCArAhsQM4IagCAfhHYgJxFW1ON9jQAAAVCYAMAABhzBDYgZ9GqHvRGAQAZ\nEdiAnEVbU434PAAAxbFqYDPGXG+MOWqMucc79ofGmMeMMXeF/73K+9y7jTEHjTE/NMa80jt+WXjs\noDHmau/4+caY7xpjDhhj/s4YMxEenww/Phh+/rxhPWkAAIAiyVJh+4Sky7oc/zNr7UXhfzdKkjHm\nuZLeIOl54X0+YowpG2PKkv67pMslPVfSG8PbStKfhI91gaSTkt4SHn+LpJPW2mdK+rPwdkDhxS3R\nkZ4GAKBAVg1s1trbJJ3I+HivlfRZa23NWvtjSQclvTj876C19iFrbV3SZyW91hhjJP2ypM+H9/+k\npNd5j/XJ8P3PS3pZeHug0AhqAIB+DTKG7W3GmB+ELdNd4bFzJT3q3eZQeKzX8d2STllrm6njiccK\nP386vH0HY8yVxpj9xpj9s7OzAzwlAACA8bPWwHadpGdIukjSEUl/Gh7vVgGzazi+0mN1HrT2Y9ba\ni621F+/Zs2el8wbGQPwyZqYoACCLNQU2a+0T1tqWtbYt6S8VtDyloEL2VO+m+yQdXuH4MUk7jTGV\n1PHEY4Wf36HsrVmgEMhrAIAs1hTYjDF7vQ9/RZKbQfolSW8IZ3ieL+kCSXdI+idJF4QzQicUTEz4\nkg3KC1+X9Kvh/a+QdIP3WFeE7/+qpK9ZyhHYAHgVAwD6VVntBsaYz0i6VNJZxphDkt4r6VJjzEUK\nejsPS3qrJFlr7zXGfE7SfZKakq6y1rbCx3mbpK9IKku63lp7b/gl3iXps8aY/yzp+5I+Hh7/uKS/\nNsYcVFBZe8PAzxYYA7bH+wAA9LJqYLPWvrHL4Y93OeZu/wFJH+hy/EZJN3Y5/pDilqp/fFnSr612\nfkCRBUVjJj8DAFbGTgdAzmiJAgD6RWADcmb9WaIjPA8AQHEQ2AAAAMYcgQ3Imd8SpT0KAMiCwAaM\nkKUpCgDIgMAG5IyIBgDoF4ENyJm//jMtUQBAFgQ2AACAMUdgAwAAGHMENiBnzBIFAPSLwAaMELNE\nAQBZENiAnBHSAAD9IrABI0RLFACQBYENyFliDNvoTgMAUCAENiBnVNUAAP0isAEjZElvAIAMCGxA\nzohoAIB+EdiAnCW2phrheQAAioPABowQHVEAQBYENiBnZDQAQL8IbEDebI/3AQDogcAGjBC7HgAA\nsiCwATkjpAEA+kVgA0aISQcAgCwIbEDO2JoKANAvAhuQM0IaAKBfBDZghNiaCgCQBYENyBktUQBA\nvwhsQM6YJQoA6BeBDRghOqIAgCwIbEDOCGkAgH4R2IARoj0KAMiCwAbkzPb8AACA7ghsQN7oiQIA\n+kRgA0aI6AYAyILABuTMD2kU2wAAWRDYgJwR0gAA/SKwASPELFEAQBYENiBn/v6hVNsAAFkQ2ICc\nkdEAAP0isAEjRHgDAGRBYANy5rdBLT1RAEAGBDYAAIAxR2ADcsY6bACAfhHYgJzRBgUA9IvABgAA\nMOYIbMAIUWwDAGRBYANyRkgDAPSLwAaMEFtTAQCyILABOfNDGtU2AEAWBDYAAIAxR2ADcpbY6WB0\npwEAKBACG5Cz5MK5RDYAwOoIbAAAAGOOwAbkjJYoAKBfBDYgZ8wSBQD0i8AGAAAw5ghsQM6SVTVK\nbACA1RHYgBGiJQoAyILABgAAMOYIbEDO/LXXKLABALIgsAEAAIw5AhuQs8Q6bJTYAAAZENiAnCW2\npqIpCgDIgMAGAAAw5ghsQM5oiQIA+kVgA3LG1lQAgH4R2AAAAMYcgQ3IWaIlyqQDAEAGBDZghGiJ\nAgCyILABOSOjAQD6RWAD8kZZDQDQJwIbMEJkNwBAFgQ2IGdkNABAvwhsQM6YJQoA6BeBDQAAYMwR\n2ICcsdMBAKBfBDZghIqe1957wz36h+8/NurTAIANb9XAZoy53hhz1Bhzj3fsg8aYB4wxPzDGfNEY\nszM8fp4xZskYc1f4319493mRMeZuY8xBY8y1xhgTHn+SMeYWY8yB8O2u8LgJb3cw/DovHP7TB/K3\nkapqN93zuL794LFRnwYAbHhZKmyfkHRZ6tgtki601j5f0o8kvdv73IPW2ovC/37LO36dpCslXRD+\n5x7zakm3WmsvkHRr+LEkXe7d9srw/kDh+XnNFjy9WW2sAAoA42rVwGatvU3SidSxm621zfDD2yXt\nW+kxjDF7JW231n7HBleoT0l6Xfjp10r6ZPj+J1PHP2UDt0vaGT4OsGEUPetYW/znAABFMIwxbP9e\n0k3ex+cbY75vjPmmMeal4bFzJR3ybnMoPCZJZ1trj0hS+PbJ3n0e7XGfBGPMlcaY/caY/bOzs4M9\nG2CdbayKlN1gzwcAxtNAgc0Y8/uSmpL+Njx0RNLTrLUvkPR2SZ82xmyXZLrcfbVf85nvY639mLX2\nYmvtxXv27Ml28sCIbKRZokGFreBPAgAKoLLWOxpjrpD0akkvC9ucstbWJNXC9+80xjwo6VkKqmN+\n23SfpMPh+08YY/Zaa4+ELc+j4fFDkp7a4z7ABlHssMMYNgDIx5oqbMaYyyS9S9JrrLWL3vE9xphy\n+P7TFUwYeChsdc4ZYy4JZ4e+WdIN4d2+JOmK8P0rUsffHM4WvUTSadc6BQptAwUca23hJ04AQBGs\nWmEzxnxG0qWSzjLGHJL0XgWzQicl3RKuznF7OCP0X0h6vzGmKakl6bestW7Cwm8rmHE6rWDMmxv3\ndo2kzxlj3iLpJ5J+LTx+o6RXSTooaVHSbw7yRIFxkZwlOrLTGAqrDZU/AWBsrRrYrLVv7HL44z1u\n+wVJX+jxuf2SLuxy/Likl3U5biVdtdr5AUVW9LDTbjPpAADywE4HQM42UguRChsA5IPABoxQ4bOb\nldqFfxIAMP4IbEDONlK+sdH/AADricAG5GxDbU1lLeuwAUAOCGzACBU96rAOGwDkg8AG5GwjBRxr\nN9bzAYBxRWADcrahtqaSZdIBAOSAwAaMUNHHfwV7ia7N/UfO6Fev+7aW6q2hnhMAbEQENiBnG6kg\nNUhL9J7HTmv/Iyd1dG55uCcFABsQgQ0YpYKHNzvA0rnuXu2Cfw8AIA8ENmCEip5VBqmwuSVNir60\nCQDkgcAG5GwjBRSrte904O5GhQ0AVkdgA0ao6NktWDh3jff1HgMAsDICG5CzxE4HBW+KDrJwrqvM\nUWEDgNUR2ICcbaSC0iDLerjvQ9FDKwDkgcAGjFCRw9ugkwaiWaLtIZ0QAGxgBDYgZxulohRVyAac\nJcpOCQCwOgIbMEJFjirRpIG1rsM2YOADgM2EwAbkzA8oRZ4hGbdE13Z/V1nbKBVHAFhPBDYgZxsl\nnsTLcqzx/qzDBgCZEdiAESpyVhl0lme8NVWRvwsAkA8CG5CzRD4pcFZxQW2tFTK2pgKA7AhsQO42\nRkCx8ayDge5PXgOA1RHYgBHaCAPu1/oc2OkAALIjsAE5S84SHd15DGrgddjCt4xhA4DVEdiAnG2U\nfBIvy7E28SzRDfINAYB1RGADRqjIWWXQClk7nmYKAFgFgQ3ImT/mq8hZZdCFcx3GsAHA6ghsANZk\nwEmiarfZSxQAsiKwATnbOFtTpd/p8/7hWwIbAKyOwAbkbMPEkwGHoDGEDQCyI7ABI1TksBLvdDDY\npIMiVxkBIC8ENiBn6XXYbrnvCb3yz25Ts9Ue3UmtwdDWYSvW0waAkSCwATlL7wxw4OicfvjEnOoF\nC2ztAWeJWsukAwDIisAGjJQt7J6ag84SZQwbAGRHYAPy1mNrqqJVmuKgudZZooxhA4CsCGzAiLn1\nyIoWW+LAtbb7uwVzWTgXAFZHYANyZlPvD7ic2ehELc01VtjWaS/R+VpTS/XWUB8TAEaNwAbkzG8B\nWjt4a3FUBg2a8bIgwzkf58L3fkU/f82tw31QABgxAhswYoPOthyVQScNrGdQPbXYGPpjAsAoEdiA\nnCVbonFDsXCTDgZcOHdYm8cDwGZAYANyll441x0oWm6J9xJd2/3b6zSGDQA2IgIbMGLtqDU42vPo\nV3vAoBlPOhjO+QDARkZgA3LWOUu0mOuRsQ4bAOSHwAaMWNFX/B980sHQTgUANiwCG5Cz5LIetrBj\nuQZdR429RAEgOwIbkDMryRj/42LOlmSnAwDID4ENGIFSMrH5bwpj0JZmFPgK98wBIH8ENiBvVnJx\nzdq4JdguWKlp0LNlligAZEdgA3JmZaOWqJUtXCvUiRe+XdsTiJczKeg3AAByRGADRsAobokWd6eD\nwNorZOtbWSQIAthICGxAzqxV1BNNbv4+slNak6jCtsbmaLsdPs6wTiil0SrYNxQAVkBgA3JmrVTy\nAtugOwaMyrAmHazXGLZ6q70+DwwAI0BgA0bAb4k6RW2JDr5w7vo870aTwAZg4yCwASkf/eaDuuPH\nJ9bt8ZOTDvzB++v2JdfFoBW29V4wmAobgI2kMuoTAMbNH9/0gCTp4Wv+t3X7Gm4dNn+ng6I1RQfd\nC3S9FwyuU2EDsIFQYQNyZr112KT1H8u1XgbdA3W912GjwgZgIyGwATmzUjxLVEWeJerejudeog0C\nG4ANhMAGjIBfYSvs5u/R1lJrvX/4dr3GsNESBbCBENiAnFkrGX/WQVE3fx/SpIP1et5U2ABsJAQ2\nwJPP6vg2XofN25qqaJug2wErg3FLdFhnlFSjwgZgAyGwAZ68Bv5HFTZ5C+cWK6/FAXPNC+cG1m1Z\nDwIbgA2EwAZ4mu31v8j7s0SLvTVV+HbN9x9sWZDVsDUVgI2EwAZ4cshrkuIKm1XxN39f+yzR5OMM\nGxU2ABsJgQ3w5FJhk+R1RAu8l+hg591mWQ8AyIzABnjyqLBZaxMt0WgoWEErbGufdODuP5zzSaPC\nBmAjIbABnjwqbJK8vUStF3xy+dJDM+jYu3WfdECFDcAGQmADPK0cqlxWkvGWzo0rawVLbIMunLvO\ng9huue8JzS031ufBASBnBDbA08qhzGWt4nXYrL/Twbp/6aFqD5gzB13HbTXf/NGs/suND6zLYwNA\n3ghsgCePwCZ1nyVasCFsAy/4G086GNYZdVqsN9fvwQEgRwQ2wJNLhS398TqvR7ZeBt2pYL3GsJVL\ncbv5aU+aGepjA8CoENgATz4tUatSKfpg3WdLrpehrcM25Oftn0+zj2/qbT+a1fH52nBPBgCGhMAG\nePJavNZNOghaom7wfrES26BzBtrrVFn0M9pyo5XpPq221b//xD/pM3f8ZKjnAgDDQmADPP1UZAbh\nL5xb2K2pXNAc8LyH+S134e/f/cJ52jFd1XIj29IejVZbzbbVUsaABwB5I7ABntwmHYRvg1mixdz8\n3S+traVKth47HbiH2jlT1bapimrNbAHM7YrQZP9RAGOKwAZ48lrWwxiT+FgqYEvUf38Np74eY/fc\nQxkZTVXLqmWusAX3ZLFdAOOKwAZ48pklauOdDmzxdzqQ1jaOLb7/8J64q9aVjDRZKWUew+YqbOw/\nCmBcZQpsxpjrjTFHjTH3eMeeZIy5xRhzIHy7KzxujDHXGmMOGmN+YIx5oXefK8LbHzDGXOEdf5Ex\n5u7wPteasPzQ62sA6yX3lqjH3uGYAAAgAElEQVSKu6yH38ocqCU6xIzkTsMYaapa1nLGlqjbd7TR\nLNbPAMDmkbXC9glJl6WOXS3pVmvtBZJuDT+WpMslXRD+d6Wk66QgfEl6r6Sfk/RiSe/1Ath14W3d\n/S5b5Wusm7nlhr7xw6Pr/WUwpoYV2K7/1o/1nn+4p+vnerdEi8X2eL/f+w91DFv4qMYYTVVLfbRE\nw8CW016yANCvTIHNWnubpBOpw6+V9Mnw/U9Kep13/FM2cLukncaYvZJeKekWa+0Ja+1JSbdIuiz8\n3HZr7Xds8Gf6p1KP1e1rrJsv/fNh/eYn/kln2INwUxpWYHv//7xPf337I10/l96aatD1zEbFJips\na7//cGeJBm+NkaYq2StsbnZwg0kHAMbUIGPYzrbWHpGk8O2Tw+PnSnrUu92h8NhKxw91Ob7S11g3\ntUZb1jJbbLNqeWOghqFXCPPXYSvqLFH/dNdSJVuPyRbuMUvGaLJayrysR9wSpcIGYDytx6SDbpc6\nu4bj2b+gMVcaY/YbY/bPzs72c9eeXzivBVQxXlylxW9ZDuLMUudelv6kA2l9ZkvmYsDzXY89VN2/\nW6OwwtbnpIMmLVEAY2qQwPZE2M5U+NYN/Dok6ane7fZJOrzK8X1djq/0NRKstR+z1l5srb14z549\nAzwlfwD4QA+Dgmq3h1thm11lqyN/lmjhWqJeYlvLqa/LOmzhW2OkyWpZtYwVs3hZj2L9DABsHoME\nti9JcjM9r5B0g3f8zeFs0UsknQ7bmV+R9ApjzK5wssErJH0l/NycMeaScHbom1OP1e1rrLuirYmF\n4YgqbF0Lv/071iWwBWPY/EkHbmuqYkku67H2luh67HRQMqavZT2aLVqiAMZbJcuNjDGfkXSppLOM\nMYcUzPa8RtLnjDFvkfQTSb8W3vxGSa+SdFDSoqTflCRr7QljzB9J+qfwdu+31rqJDL+tYCbqtKSb\nwv+0wtdYN9FFqGhXTwxFO2qJDufxugY29dqaqlgvukRgW8ukg+i+w1yHLX6/n4Vz67REAYy5TIHN\nWvvGHp96WZfbWklX9Xic6yVd3+X4fkkXdjl+vNvXWE/xRtzYjJrtuEKTxV/f/ojOLDV01S89M3F8\nolxSvdXWsbnuLVGTmCVazDa838pc26SDdXje3qSDqWrwM2i1rcqr9LhpiQIYd+x00EPRLp4YDn+l\n/Cze8w/36INf+WHH8emJsiTp2Hy9805eS9TKFnbSwcDrsEXPe/g7HbiFc6V4BuhKGrREAYw5AlvK\nelxEUBxuOZdBZ4m6MVHdW6I2Cmxt6y3rUbC67qAt0XWddKBgaypJmcaxsTUVgHGXqSW6mTCEbXNz\n67ANOoTNzU48sdClwiZFLbq2td4YtgG/aO5s13cz33sdnndUIS0ZVcthYMuweK5riTaLVuYEsGlQ\nYUsp6gBwDEdrCJMOmq12dOHvtnNCr50OilbVHXiWaPh2XXY6kDRVdRW27C3RLO1TABgFAltKUQeA\nYzhcwCoNsBCbv/ZXq8cLybVcrbWF/eMgudPBGu7vbXp//bd+rM/c8ZMhnFPc0p6qBGPYaIkC2AgI\nbCkFvXZiSFp9zhJ1mt6FPhHYulXYFFfY2ra44yaTY9gGWYfN6oZ/Pqwb7z4ytHMKFs4Nfr1lWTyX\nliiAcUdg66FoF08MR9QS7fN+S14Vp+aNmer2OrLWJsewRcf7/KIjltjpYA33jydbBN+TYfyb8/cS\nXVOFjZYogDFFYEtha6rNLV4Wor/ItlT3Aps3ZqrXOqzR5u/+LNGCveaGtXCuqzIOY81afy/Rvips\n4W3qtEQBjCkCW0o06WC0p4ERaa5x0kGywrbyGDa304ExbgxbcLxoVV3/fNe2NVU8hq09rApb+NYY\nqVwKfr21vCTYaLV13tVf1vXf+nHifoxhAzDuCGw9FHUgOAbTWuPm74v1Hi3RHrNEjTEqGRNUl9zx\nvs92fKypwuYFVX8s32DnEVdIy2Hq9jOY+zm9/3/el7if2+GgbbuPOwSAUSOwpWyEiyfWbq2TDvwK\nm1tGwpgeFTZrZRS07dr+LNGCveiGt5do8D3pNaN2LedkJIUFtkQAa/aooPnHqbIBGEcEtpTiLmKK\nYehn0oFfhV3uUmHbMlHpXmFTEOZKxoQD7oPjRWuJJicd9H/u/k4HQ2uJepMO/Ikdjj8L1K+ENghs\nAMYcgS0lXoetWBdPDIcLbFl++g1vo/DFLpMOpifKPSpsQSA0xs0Szf41x8nAFbYoqMb/DcrfSzRu\nicYP7C+M+6PH5+Pj3s+yyQbwAMYQgS2loN0pDEnLq/qsxq/EdJt0MF0td535aGVljAknHcSzIwtX\nYfMD21ru7/1xlGgND3JO4Vtj4sWPe1XYDp1cjN4fZoXt8KklnVluDPQYAJBGYEsp6ppYGA5XjclS\n7fGrNUtdWqIzE+Ue67CFY6yMCWaJeseLxD/dbq3f1bigat2yHkNpicZjELtV2Pyxan710z8+6NIe\nv/5X39X/+9UDAz0GAKQR2NKixTwLdvXEUEQt0WFU2CbKPfcSdWPY2tZb3mKgM8/fsIYNuOracNZh\ni993Y9j8qprfxm71OD5oS3R2vqZj87WBHgMA0ghsKUWtdmA44sC2+m3rPQKbW1l/ptcYNilqiSbW\nMivYi27QMWzxpAP33zCev1dhcy1Rv8LmpcLE2LYhtkRrjXam3RUAoB8EtpSiztjDcMQt0dV//n5L\nNLkOmxvD1mOWqLesR6F3Ohhwlmg8I3t4s0TdtztYODdsiXqP27vCNpyWaKttVW+1tdRgpimA4SKw\npcQDoUd8IhiJZh9j2PyLv19RcbNEe1bYbDwovsg7HQy+DlvcCrZDmiXqL+vh1tJr9whmickIre6h\nrl9u/CIVNgDDRmADPO0+Kmz+xX+x3ozerzVbqpSMquVS71mi6rLTQbHyWnLSwRpOvu0F1eFV2MJl\nPeRV2Nrdg1mzR0u01+K6WbhFk2sENgBDRmBLYeHcza3Zxxi2WmKWaLI9Oj1RVsl0DzKuwuZ2Ooha\nooOdeu4GXtbDBba2m3gwvHNKrMPmPW7DS9DpyttEJfh1OEhL1FXWlroEtoVak8obgDUjsKVE1Y7C\nXT4xDP7q+6vxK2zL3qr5i/WmtkxUVC6Z7rNE5TZ/D3Y6UPRHQrFec4kxbGs69fh7PaxJB+6cjDHR\n1lTtHhW29Bi2mYly+P7az8MFsuUuY9ie996v6DV//q01PzaAzY3AluKvvo7Np58KW2I8lPeCWai1\ntGWyrFLJ9KiwuZaoir0OW+J8194SDR7LDmXTdX8v0W6TDvx2ZzMV5Gaq5Y7b9GupsfIYth89Md/1\nOACshsCWwtZUm1s/Y9j8WaJ+2FioN7VlsqKyWbnCVjImagdm/ZrjxD/btW1NlaywDbMl6k86SFTS\nvPf973e91dbMZCW4zRDGsHVriQLAIAhsaTbxBpuMW6ernwpbySRDwWKtpZmJcu+WqE2uw1bY7dCs\nH376v3s86SBe2mNQib1Eu6zD1kiE7Ph+9WbcEvXHJvbLTTaorbCsx6nF+pofH8DmRWBLKWp7CsPh\nLuKZKmzhWKfpanL5jvlaU1snK9EsUClokd187+Nqt220DlspHMNW1KVkEi3NNa3Dth5j2ALJSQf+\nzFA/sHljEBstbZ+qBrcZZAxbOJax3monwrpfsX/4+GLH/QBgNQS2lPgXa8GunhiKviYd9NiCarHe\n1MxEJTFL9E/+8QFd+dd36rpvPuhNOgjDSmE3fx9s0oH/x5ELbcM6p2DSQbd12PxJB/H9FmotbZ8O\nWqLNAfbI8icbLHfZrkySHj62sObHB7B5EdhSWNZjc+tn4Vy3/MNUtZwaw9YKxrCFLdGFWlOfv/OQ\nJOnaWw9Em78bU+zX2eBj2NxbG24AP4yWaPDWhB+XS6bnpAN3vNW2Wmq0tGN6QtJwZomm3/dbpI+e\noMIGoH8EthT3q5pZoptTu0cbqxs3hm26Wk7MOFyoNbVlIp4let+RM5pbbupn9+1QrdkOFs4NB8Xb\ncOPz9NcuguQ6bIO0RIMK2zBmifp7iUoKJ37En/V/Tu777SYI7Jh2LdEhVdia3Zd9GWSMHIDNi8DW\nA7NENye/HbbaS6DutUSj2aVtq0VXYQtnibp9RnfOTIS3UTSGzW18LhWvCT9oha1zp4PBz8nfS1SS\nSqXkWLV6l2U9FmvBLhVRYMt4IicW6tFWVI4/O3Sp3r3alvXxAcBHYEsp7Iw9DIU/fGm1MWVRS7QS\nV9gWwwtzvA5bfOF2sxBb7aDC5nY6KOqkg8HHsMXPe2iTDrxlPSSpUiolK2xhu3OiXIq+3kI9WWHL\n2hJ94R/dot/4qzsSx3q1RP3KW9HGKgIYDwS2lKJePNGf//qPD+hvbn+k47hfYVutENJoBjeYmihH\nF2FXrZmZqESzFN0+o9NhYGtbG006sPIXay7ui25tLVH31kbj2Abl7yUqqWN7MNfurJbjJVcW0hW2\nPlqidzx8IvFxLTHRoPv7g8xCBbB5EdhS4gobv1Q3si9+/zF980ezHcf9cVSrBahGq61yyWiibKKL\nsKvWBMt6KHFsxg9sUjyGLXy8or3iEmPYBph04NrCw6ywucSWXguv0baqlk3iuGtZu1mijQwty17j\nDZd77C/rV9haA8xCBbB5Edh6KHCxA6uw1urYfK1rJcUfEL7qGLZWu+PivxBV2MrRshKu6jZddYEt\nudOBjUtNAz2vvCX2Eh3g/u2wwjbMvUSjSQfeLNEnzizr8dPLqpRKyZ9ZWAHdMllRpWS6vi4eO7WU\nCH7+68Tf8aJ3SzR+v1WwnzOA8UBgS3EXT36nblynlxpqtGzXwd/+oPHVqqz1ZlvVcikYJ2WTgW1r\nuKyHf2xmIqjgtMO9RNM7HRRtLLp/vmsJW/5OB22bHD+4Vv5eopILxcHBn/svt+qL339MFReyozZ2\nOO5woqJK2XS8Ln5yfFEvueZr+vOvHYyO+QHs0ZOLXY8v9QpsRftBAxgLBLaUuD3FL9WNanauJqn7\nhdO/sK52XY12NOjSXpuZjMewzYeBYMpV2NpuDJvb6SBQtNfc4C1Rm3g71EkHJa/C1raJCRIT5bDC\nFrWx46potVTq2Ev04OycJOl7PzkZHfMrbI8cjxfCXW60o6CeqLB5t2cMW38IuECAwJZS0O4U+jA7\nHwS2bhdOfymG1QLEqcWGdkxXVfEC23xUYYtbogu1pqaqpWhMW9wSTe6hWbTrUjJgrmHSQfg2Xqx4\n8G9A56SDoJJ2bD7ev7NSNsGSK6mJIlsmwwpb6nVxarEhSdo1U42O+WHs0MmlxPGd4eSF5R6tUlqi\n2d1/5Iye/Z9u0k13Hxn1qQAjR2BLiWaJjvg8sH5cha3bFkTLjbYmK8E/C7tKi+7UYl27ZiaCUNAx\nhq2icjTpoKnpajlaGyxa1sO4jc+D40W7jg9r0kGrPbzAGs058CYdtNtWP/a2g6qUSsGSK9EYtnhS\nSKVc6nhdnAwDm1tHT0ouhOuPYVtqtLQzDHbLXvh3s0e3TlaoGPXhpruPqNm2+p1Pfy+abQ1sVgS2\nFH+pARTHs/7TTfq//+6uTLd11Zb0hbPVtqq32onZnCs5tdTQzplkhe3wqSWVjHTW1snEGLbpajka\nCN8xS9S1Bgv8Z0K/Z+7/+0ouVjzY98DfS1Rykw6kh2bno9tUyyb4mbkKW72pcsloslJStWQ61mE7\nvRi8XtyyH1Jy1mczNRlhe3g7f5Fed/uZiTIL5/bhtgPHJAW/lw+fWlrl1sDGRmDrgbxWLPVmW1/8\n/mOZbusqbOkLs2tb+ZMDVnJqsa6dMxMqleKB6j85sahzdk5rolKKQsNCvaWpMAS6x3Vj2IpdYfOW\nQOkzhCQmLLS7H1/bOQVvE+uwpSts5VLiZ7ZYb2lmoixjTFBha3WvsE1W41+XvSYR1JttbQlfP35r\ndTlaULkSjZ3Dys4sN/TPh07p+ft2SIrHggKbFYEtpagDwJHdsfnukw6WGsn10lZ6BVhrdWoxrrC5\ncPfIiUU97UkzkpSosE1VylGAa1vJyESLulrvMYskuZdov/ftXmEbtF3YdVmPttXBo3GFrdW2Knuz\nRxdrrShkVcqmYx22k2GFrdUlgEnJYFZvtjUVBjt/vbVas62SkSYrJcawZXRsriZrpQvPDQPbMi1R\nbG4EtpSiVjuQXa8xbEveDE9p5QrbfK2pZttq10xVZW/trp8cX9RP7Q4DW7TTQUvTE2Vv0kFYYVPw\nOvM3QS+SxJSDPs/dv/mgy4P43I802ks0nFzwo6Nz0W1qjVbHOmwzk0FIr5Y6K2xu0oEftHothFtv\ntTVRKamaWh5kudHSVLWsStkwhi2jM2FAO3fntCRpvtYY5ekAI0dg6+CWGhjxaSCzfitTrsKWHkvk\ntg/a4ipsibadTbT93EV85/REMLDdBiHu+EJdT3vSFknx0hLz4Rg216azNt783Sre9Lxorzk/XPVb\nke4VzAb9HkSTDhRX2OaWG3r0xJKevif4udTDHSr8pVj8Clt6lmi3iqy/1ZRfkWu0grX50jssLDeD\nwFYulRjDltHccvBvbO+OqfBjKmzY3AhsKWz+Xjz+WDT/QtpLVGFLXZjdVkLdxrC9/XN36e2fiyc1\nRIHNVdja7Wg9rqjCFv7rcst6uJaoFIxfi3Y6iGYmF+tVlwhX/VbYetx+4ApbNOkg+LhcMvrh40F1\n7QVP3SVJqoVrpfmLHbs2eKVc6miJHl8IWqLpipmTHsM2ES6mnLx9W1OVUtA+J7B11WrbxMSCM0tB\nQNu7I6iwuRnYwGZFYEvZCBtxbzb+QqfHvfW2umm3bXQBXm0Mm//pHx9b0MPH4xXtTy0Fj7Fry0RU\nTXnizLIk6SlhRaDktUSnvGU9pDBQpHY6KNpLrldbsx/+9yR4nEFniSYft1wy0aSBF/7UTkluPFmq\nwha2waupramstTrZ5fWSmCXqBf9G2BL12+Q/fHxOn7/zUFBhM6brcjKQ/uQfH9AvXPO16A8qV2E7\nZ2fw72mewIZNjsCWYmmJFo6/DtZqge3kYj268HaMYUsHNu8CvVhvJaoq0dpc3sK5p5fcAqvBel0l\nL40E67B5FbZw0oFVgZeSGUJLtFIyqeMDn5Qkb9KB9z1/zt7tkoKWaCU9hi2qsJnEHwC1ZjuqlHWb\n9TlRKXVMLgi2K4vHsP3+F++WJD10bKGjVYrYV+59XFIc1M6Eb3dvndREpaQ5Ahs2OQJbSnwN4pdq\nUfjrXR1bqK14W7cG21lbJzrGEqWX9fClA5tbm2tnuHBu20onF+IQJ8WzRCVpeiIewybFm79ba71N\n0Fc89bEz0KSD8PalVIlt0HZhO1Vhc+MIJ8olbZ+Kf66J7cS8WaLVcinRYvfHTaWDmRQshNtMtUQn\nK6XE5AJ3Lj/71J1MOliB+8PLfX/mlpsqmWBM6dbJCrNEsekR2FLiJRZGehrog19hOza3cmBz7Zan\n7JjqWA9ruaMl6lfYmonNvF2FzW1NFRwLQpxbONUPIx0t0fDziXXYCvZHwiDLerjvbbmjwjaclmi6\nwlYtm6jt6Y67r+XPEq2Uki1Lvw2XnCXaUrVsNFEuJQKYa4n6Y9iOL9R16bP36NP/x88lWrFIcv+O\n3b+zM0sNbZuqyhijrZMVxrBh0yOw9cCv1OLwK2wnFlZuiboZf0/ZPq1Gz2U9OsewLdRbiXFLJxfr\n2jpZ0USlFFVxji/UtW2qEoUQP4xMVcvRzEVJ4cK56XXYsjzb8eEHzH7bue7WnYFtsHNK7yXqHn+i\nUkoENlfpstZGC+cGx0uJ1ud8osKWnkRQVtnbGaHZaqttlZglaq3V46eX9fSztgZ7lZYMs0R7iAJb\n+O/wzHJT26eDn9nWyQpj2LDpEdhSmHRQPH6FLX0x/PW/+q7++Kb7o49dhW3vjqmOSke0Gn1qlmir\nbVVvthMVttPhxu9SPA7rxHw9sX1R2fvXFWxNFX8c7CVqZG38dYp2HR9kL1F3+2q5lDo+YIUtfJtu\niVbLpejnKimqdNWabbXaNmqDV1Nj2Oa8tb8SY9iaLU1G66oFt3fBbaISj2E7s9zUYr0VDZxnDFtv\ntVSFbW65oW2Twb+nrVMVlvXApkdgS2HSQfH4F9j0xfBbB4/po998KPp4dr6miUpJu2aqarRsIiAs\nhRW06WgdNjeLMLhQ1JvtaIzVycW6dm1JjlU7sVCPNv6W0i3RUpeWqMK9RN3RYr3okqt69Flh69kS\nHfCc0nuJhg/vZm46blmPxXpy7b1qObkcR+8KW0uTbjZoeNz94eAqbM1WW4+fTs4cZgxbb65S7irZ\nZ5aSFbYFNn/HJkdgS7OJNyiAlSpsacfmatqzdVKVsLLj39z9ZT9dTS6c6y7qUlBZkcKN36eD2aDl\nqCVaS1XYerdEFe500GtPzSJILJy7xgpb5yzRIS3rEX5c9iYdOC955u6w0hWv7eV2t6iU4pbo3373\nEb3vf9wXPJ5JbfLeCLag8mebusAxUSkFrdW21ZHTwbpie72lXghsK3OV7jPLwRg2SUw6AERg6xCP\nJ+KXalH4gc2fZeivp+WOz87XdNa2yehC7g8wrzVamqrGlZh2l8Dmxte4fUQlP7DVoxAnJStsE+WS\n/LxWChfO9S/eRZt04J9uv/9cek06GPZeou7tRCX4VXfv+16pT/zmi1U2QSszrrB1tkR//4v36LFw\nIded09WOCttUtZyYXOAC22Q5DnJxhS1Y/LXiLdiL7uKWaFPbp+KWKGPYsNkR2FIIasXjTzrwqyAL\ntThouckGs67C5gKbNy5pqdFKjDVrp1qikrQchsNTi/WOwHZqsRHNEJWSgW2yWkp8bBS07QapUo2a\n7fF+P/dNV9gG/R6k9xIte2PYJGnLZCUxKcC12aJZouXukwJ2zkwkwr3baspvcUYt0YqJWqXudXfW\nVleNLXXssIHkH13xpIOGtoVLsWybZAwbQGBLKeqMvc0sUWHzfnD+gPFDYaXk2HxNe7bFLVH/4rwU\n7UhgEo+VrrC1w0Vy3QK5fujwx7D51aOJcqljHTZjkhWlonXK/D9u+m1lRi3R1KSDgVui4VvXfo4n\nHSSDYSnc/3WxlqywVUqlxJhIZ7paln94OWyJBrNE3aSDsCVaLocVtrbOLAfbkk1WgkBYLg1eRdyI\n3KLTUvCHk7VWC7Wmtoat6slqWbVmmz+osakR2FKYJVo89R6TDvwWymMnl9RqW51YqGvP1okoZPm3\nP7kYLMvhKmFdx7A1WppbbqptFY1X8ytnvWaJTnaswxbsdOC3x4rWEh1slmhwh2GPYevYSzTVEnXc\nemtRhS2adNC5+bukxGxQKXhNTFcryTFs0aQDEy334c8mloIKGy3RTn5gW260VA+XSHETgLr9ewU2\nGwJbChW24uk1S9QfpPzYqSUdX6ipbaU9/hg27773H5nTTz9le1QJiypsXvBbbrSiBXKjClu5e2BL\ntEQrqZZouNNBYmX/gr3m7AofZb3vsGeJugfu1RJ1gu993O52a7QFkwU6K2z+bFAp2Oli50w1OUs0\nMekgCHJnlhvROCxJiYCHWKLCVm9puR7O2K66yqQbc8r3DpsXgS3F/eXPr4Xi8Fui/sXQ33twodbU\nsTm3LdVk1CJzF4ATC3U9dmpJF567XaXwX0X3Cltbp8KLi2t/+kHMVWqkVEu00m1Zj+QA9KJVdQep\nsEV7iQ59HbbkpAP3M5hMVdhca3KhllrWI6yMpc8jHbROLjbCfWRLHRU2f6eD00vpCltyc3kETnoL\nXi81WvGMba/yKVFhw+ZGYOuBsRLFUW/FbbBea2g121az4QDwoMIWvPTdBeDew6clSRees6NzDJu3\nYO6SV2HbGY1hi/8ZubFKUmeFLcEE63r4xZyiveISOx30e98ey3oM2i5M7yUab02VDmylcB221LIe\n5fh14e896lfSlsNAsWvLRNd12CaiWaLtoMKWCmyEjk6Pnwlm01bLJhnYogpbOOaUCRvYxAhsKTb1\nFuPPXSinq+VEi9GfVdZu22if0bO8WaKunXrv4TOSpOeesz0KWtGyHqmW6OlwH9Fd0SzR+Fwmq/EH\n6cBmvI9LpnNNriJcx1ttq3seC8Ktn636nnQQvu0YwzZg8Sm9l2i0+fsqFTYXDCpe5dX/2fiVtNNe\nhbWa2OkgrrAFlbTOChvLenR35PSSyiWjpz5pRsuNVhSk02PYurWrgc2CwJYW/i6lwlYcLrBNVcuJ\ni+G8v61Q20atzF0zE9GF2V2EZ+dq2jJR1s6ZiWhZj3ing5UrbOVEhS1+32+JTlZSW1N1m3RQgNfc\nX3zzQb36v31Ldz16KnG+fbdE264luk6TDsKPXZjuqLCFYXmx3tR0tRyPdQt/lo1WO9oq6R2veJZK\nXmXMH8PogpmUaomGy4OcWWomKnUlKmxdHTm9rLO3TWrrZCUYw9boHqT53mEzI7ClsDVV8bjKRrD0\nQrIlaoy0baoSXJxr8ZpbldQg5jNLcesqXWHz9xCtNVo6FVbYXOXEzwJTVX8MW3x8olLq3PxdyYV+\ni/CSc9W1QycXB1qHzfHDrjT4v7vo7hlaoqeXGrrx7sf1pC3xYscuGCw32mq2rd7+8mfpbb98QWIM\n28mFsMIWjmFLTzoI1nkLlgc5s9xZYWPgfKfHTy9r785pTVXLQUvUTTpIVdgafO+wiRHYUtwFg18L\nxVFvtlUyQShKTzrYOlEJ94dsa77e1ESlFF1QpXhMjL+qenqW6EItWEtLCsLbqcW6tk9VoqpMrwpb\nZ0s0Pudukw6KUGFzLcZW26YmHfR37u57Wx3ysh7upNIt0W6TDqRg9vCfvv5no+NuDJvbssr93P2x\naqeX4gqrPybNH8NWLRmdXmrIWnWMYbM2GdQRVNiesmNK09WylhrtjjFsbpxoizFs2MQIbClRYOP3\nQmHUW21NVEodLcb55aa2hsHK7Ru5NRpcnhwT46+q7saauYd69OSSztu9RVJQeTm52NAurypTNsnW\nZ3Q8PUvUO+dg4dzU1pEYzIIAACAASURBVFQFeM25Skfb2oHWjXPPtXNZjyFNOgg/jitsnQvnuuOX\nPH13dNwFyPkosMUVHjdW7aQbw7ilGq3nJkmNMEy4MWyuEpsIbOH5MI4tZm2w5+re7UFgW67HY9im\nUi3RBmPYsIkR2FKilig1tsKoN9uqloOlFPy/wOfDgOYutou1VrTsRnohTn82nz+GzVqr+w6f1oXn\n7ohmsAUbv3ff0aBXhW2inJx0YEwwhs2vtBRhWY94/To7nEkHQx7DZlMVtmjz93SFLfz8zEQlcdxV\n2Fxgcz9Pv8KWHsPWisawBVWhiXIp8bz8ddjKjMXqcHqpoeVGW3t3Tmt6ImiJujFs7t9rucT3DSCw\npcQ7HYz2PJBdvdUOFqZNzcA7vlDX9umqSia42M57FTZ3AXBVEX9weCmqIgWTEY7N1/W8c7YH42vq\nrXAf0c5xT1JqlqgX5CrlZEtUCremKtheoi7oLDfbyTFsa12HLTWGbdB/d+llPVypLT2GzQX2Ld66\necHtwgrbcrcKW/DgpxYbmqyUor1Euy2c64f49Bg2ieDhOzbv1kec0FS1FI5h694SZVkPbGYEtpTo\n10ERrp7QoycWdcePT2iiXErs02it1f1HzujZT9mmSjnYUWCx3opWtK96621J0txyQ9umkhW2trXR\nch/PO2eHpqpl1ZrBpAN/z1C/kpaYdJBKaP5HJWOi1fadIrziXDhdqDUT/0QW6y395W0PZQ4ivdZh\nG3Rsl7u3m+DhHi9dYXNhejoV2Fww6KywlbzAVvf2kQ2OPzQ7r49+8yFJiqq9zjZ/lqhhxf60uJpW\n0VTYEl1qdJ90wLIe2Mwqq99kc2HSQbFc9uHbtFBv6ad2zyQuqo8cX9TcclM/c+4O3f7Q8ajC5i6e\nZe8CYK3VmeWmtk8nx7C1rdUDj89Jkn567zZNVkqqNds66V2wpWToSLREO9bKTc0SLeCkAxc7gxm3\n8fn+2S0/0vGFup6yY0r/+mfPWfVRor1EO1qig52de1wTfu/dpgITXZb1kJIB2z8ft0vGZLVz0/bj\n8/VoZqnb/P31H71dx8PV+qtlk3hN+KGQClsnf4LBRLmkequtpXoqMJcJugAVth4Kce2EFsLWyYn5\nusombrXdHS4/8TPn7ojW3EpMOvDGYi3WW+HK9slZotZKR+eWtXWyou1TVU2US9Hm7+nthhw/GKQr\nbMl12MKWaMEmHdTCcVrztVaiOujCSq2ZrQLinmrnsh6DjmEL3rpvtZsokJ7c4AJAOrC5n59rifoV\nNhcWHj8TzGiU4mU6joW7aEhBEC+Xe1RdU5VdxOscTk/E69ctNVqarpajP3KqJb5vAIGtQ9xSQ3HM\n1ZrBmljhGJd7D59RtWz0rLO3RQPG/ZZoNCambaMdEeKWaDhLVFbH5us6a2tQTamWS9F+pLtmugc2\nv4qWDgmJZT1MMsBJxZh0UAtbVYv1ZteJOeWMv1F6tkQHXoctOenAVTA7AltUYUuesJv9e+jkYvj5\nzjFsT5xZ1tnbg8BWLpvEwsqO/7ymvKorFbZO8Xi1SlQlX6y3uu7L22AfVmxiBLYUWqLFkR7vVCrF\nF+gTCzXt3jIZrTrfDluibpC5v3L6mWW3/EI46cC1RNvSsbmazto6KUmqVky0H+mOHoEteT7pMWwm\n8X4pVYEbxmvulvue0P9+3bfX7Q8ON95oPjWGzUlXzHpp92iJtqzV/odPrHksW3rSgbu+dwS28OOp\nSrLCdu7OaUnSQ7MLklKzRFtt1ZttHZuv6+ztwWsiHTjjx4+/D93GNTIWK7bUiLeh8pdV8b9vbP4O\nENg6uF8H/F4Yf8cWaomPyyUTXeiXG+1o7JBrZy3Wm1GFzR/DdibcsipqiXqTDo7Ne4GtXIpuO11N\nbgzeTTqQqaPClgpsQ3jNXfXp7+nOR05GreJhWw5boov1lqzUMfO1x7eiQ68K24En5vSrf/Ed/a+D\nx9Z0fum9RN3rId2ejgJbqiV61tYJTVZKenB2PvF5V2E7OhdsUv4UV2HrEVATFbZqZ6WIvBaLdjWo\nlqNlVeaWm4mxf/G/V34xY/MisKW4ygQt0fH3+Ong4vny556tD//bixLjjJYarehCWTZB26XRsvEs\nUW+ZAFdhcxMS/K2pjs3XdNa2uCXqZg9OVLzWZzq19DjeEeBShtESnYwueI1Vbrk2rn3lKmzp55S1\nZeVal5VUD/VEOBbuZPi2X+nvoau4pqudLgBMplqixhidu3NaR+eCPwb8Qe8ta/XEmeD42d4YNud9\nr3mefufSZyQeP/1+esFmeJMOJspRJW1uuREt6SGxrAcgEdg68OugOI6Ege3/+uUL9LoXnJuYdLDc\naGk6vBhXSqUolLmWqL+AaXoMm8sg9Vawq4GrsLlZopI0Ue6+o4GvY5ao/znT2RIdhmoYMM4sNYf+\n2FJQuZTCZT1kOypqboybs1Rv6cNf/VHUSnV6VdjcxbvbuLB+xC3R7hU291G6wiZJ5+6ajt5PV9ie\nOBO85s7eFgY2r6X7pp97mv6fy35aUtzCS39/orF1VIoibkbodLUc/VuaW24mA1v075Wgi82LwJbC\n1lTFceTUkiRp707XnjLRX+BLda/CVjJRK3NLapZoo92OwsGWyeD27qJ6PByv5rdEHX9dr16BrSMk\nrDLpYBivuYk+K2wPzc7rD264J3OA8FuisslJFlLnLNFP3/ETffirB/RX/+uhxPFeW1MtR4FtbYEz\nvdOBe17psXLuPNNj2KR4HJvkVdjCxZddVfcpXSps/uvDtUrTFcRo0gG/YCJLjZbKJRMsh9KjJRr9\ne6XChk2MwJZio7f8Yhh3JxbqMkZ60ky8JparsLllAdzx0z0CW6tto5DgLt7uGuzaYnFg85bv6DLz\nLy0dRvyKmlvWwzeMlqg7L1c1XM3XHjiqT33nkahytBpXQZuvNWXVGUrdsh+Om+n30LGFxPFo8/dU\noHHheWmNFbb0XqIusKWrmS6wpVuikrSvS4WtXCrJWunI6SVNVErRLGEXzNIvAfeaSG9u72/thcBi\nvaWZcAmPalRhayRm8Lrv2z/e87i+dWBt4xuBoiOwpbi/0OlYjL/5WktbJirR+KSyt/TCcqOlKW8f\nwoWoipZa1qNlOy7ermp0NByvtMcbw+Yk1lvrEdjS1SeT+tx6TDpwofJMxgqbPybN992HjuvFH/hq\nR6UuqoDVmrJ29Zao+565ypQTr8OWfAAX2BZTLdTFelNXXH+HfpwKfmnpSQdRS7RHJW+6S0vU3wze\nBS9XoTt8allnb5+Mfrbu8x17lUb3636clmgs/W9VCv7gmqj4s0SD7+OX7z6ij972YP4nCYwBAlsP\ndCzG33ytEbUxpeAi3fJniXrjj5z0GLZmux2FjMlUhc1t8u32DZ3osyXaIdUSTQe6fipszVa7I2QF\n5xU8hzOpCtsDj5/RH37p3o7lMlyQTVfkDhyd19G5WjTI3nFBZ6HeUrNte1auHDc+qSOwRXuJdg9S\n6QrbQ7ML+uaPZrX/4RNaifseutNq9ghs7vHT67BJ0ot+alf0vvsZufs/dmopGr/mH59MtVajoNej\nwkZLNLbkrbnmglmjZRMVbf/nl3VxZmCjWXNgM8Y82xhzl/ffGWPMfzDG/KEx5jHv+Ku8+7zbGHPQ\nGPNDY8wrveOXhccOGmOu9o6fb4z5rjHmgDHm74wxE+nzWC+0RMffQq0V7VwghQPDe7REHRe04r0J\nrWrNlqplE93OhRC32v3W1P6jUnILqqyBLbkOW5cxbJkeJfDJ7zyil3/omx3H45ZosjL2lk/s1ye+\n/XDU5nVcoFpIhb9eY8mWm+14Ukaz3TH7Mt0SdYHw8OmlxHGXGzsmHdS7f10XKLuFVF+0l6i3vZjU\nrXWbDOk+Y4y++vZ/qT9/0wuiYxU/sO2Y6jierrC5ylp67FyFFfs7LNbjf6v+98v/A8k/Xmusz5I1\nwLhbc2Cz1v7QWnuRtfYiSS+StCjpi+Gn/8x9zlp7oyQZY54r6Q2SnifpMkkfMcaUjTFlSf9d0uWS\nnivpjeFtJelPwse6QNJJSW9Z6/lmf17Jtxhf895WU1KwdIO7EAaTDuJFTx13wYzGsLWslhvtxIXb\nXdvdfpJu8LN/UV5LhS1xM2M6xrD1k9gOn1rSkdPLPS/8vWaJpmdrLvRoibpA48/WbLTaarVt9D1v\ntNqdLdFU9cPdf7nR1ulFP0SGQSrVMnSzRJdSrVUXQNPBMs1am/i+/sIzgvbmeWfNJG63UktUkp75\n5K169fPjPVHdz3h2rhatweYfT+9VGlfY0pvOB28Zwxbzl+Dxv19+SPOPU2HDZjWslujLJD1orX1k\nhdu8VtJnrbU1a+2PJR2U9OLwv4PW2oestXVJn5X0WhP8ifzLkj4f3v+Tkl43pPPticpacSzU4oVw\npXjpBWvtChW2ZIurEVbYEpu2h1d8Fw5mqsl2jZRtDJskPX/fDv3Ra58nKdkCLZnOgfD9tETr4UUr\nXdFy1Yd0hS3a1DzV+ozGsC13r7D5rUl3bFsU2GzHc+9c1iN+3AXvfXce26cqqdu3Ou7n336+lny+\npxcbOu/qL+vW+5+QFPyh5Z/RW37xfH33P75Mz3zytsT93vovn65n7Nmilz/3bGXhP0+3y4EUvyYm\ne4xhq1JhW9VyI26J9p51S0sUGFZge4Okz3gfv80Y8wNjzPXGGDcg5FxJj3q3ORQe63V8t6RT1tpm\n6ngHY8yVxpj9xpj9s7OzAz2RuMLGL9Rxl66wuUkH0ZINK1wEjDFhwGur1mwn1uNyOWqh1gy3tgru\nU634wa/3Ju++L73tF/UbP39e4nGloD2aHsPWzyvOBbXlVEByzz0dzKo9lvtwrce5Hi1RP2S5r7V1\nKq6wpZ9DvdW9wuZu77jWrF+tknqvw+YqgPO15Pn/6OicJOm/fe2gJIVrw3mtZ2OifT99z3zyNt36\ne5dGe4euJhnYulTY0i3R1SYd8PslkqUl6gffdJUY2CwGDmzhuLLXSPr/wkPXSXqGpIskHZH0p+6m\nXe5u13C886C1H7PWXmytvXjPnj19nH23xwre8gfw+OtoiYaTDtLtrnKizZL8q73ZCm7frcLm7z0q\nDT7pINUR7XiB91Nhc8EsffFyFbb0LFEXINKTERZ6Vtg6W6Lua63cEk2ez1IisMXPb9YFth3JMBXN\nEk0FtrglmjyennXZtp3LpQyDH/r9kOmO96qw9Zx0sIkXgD292IgqolLYEp3orGJTYQOShlFhu1zS\n96y1T0iStfYJa23LWtuW9JcKWp5SUCF7qne/fZIOr3D8mKSdxphK6vi6ci1R/gAef91aoscX6nr3\n398tyV9DK75PNTEuJq7ITXQJbLVmWzMTFe++rjqXvBC7KtOrn793xfP1q1FGnS3Rfl5z9R6BbbnP\nClu8rEfv5TscF8bcjhCNVpdZoo1sFbbZuZq2TVYS31/JG8PWEdi6TzpwX889tu2ymO8w+KHfD5m9\nZolWe046CCe7bOIxbP/np/brLZ/cH41pXArXYZN6t0QTY9iosGGTqqx+k1W9UV471Biz11p7JPzw\nVyTdE77/JUmfNsZ8SNI5ki6QdIeCa9cFxpjzJT2moL36JmutNcZ8XdKvKhjXdoWkG4ZwviuKWqKM\nZRt787Vm1J6T4v0ib7rncUndK2x+laxUMuEs0WRL1C+KzHgVNncBmSiXOkLBP7/3FYnbdrPqTgcr\n3jsprrAlA9LyKmPYOits3ceGueDnr4cWtUTDkFxvtldd1sO/fyKwzde0Z9tkR3WyHn3d5Hm6805X\nAl1L11XYrLVdS/ODqvTZEo0rbN2PD2OR5KK669FTkoKf8Q5Vg/GmE50tUX8IAhU2YMDAZoyZkfRy\nSW/1Dv9XY8xFCq4/D7vPWWvvNcZ8TtJ9kpqSrrLWtsLHeZukr0gqS7reWntv+FjvkvRZY8x/lvR9\nSR8f5HyziHY62Ly/Twuh1gw2c0+MYUuFh6kuf7VXEn+1BzsjpFui/hV/xnt8d1FOzwiUpB3T1VXP\nOdESVecs0X7GTUYVtvSkg6bb6zN53H0PelfYVp904CZhbJ92FbZ2x36pnS3R+HETLdEzYWDrUQ1L\nV9jc+S3Uu7d03XprVuvTEnWBYcd0NRHu3dCJdEs02ukgVWGLdjrYxGMu3DhH9xpd8sew9fjjytds\nWzVb7Y7xgcBGN1Bgs9YuKpgc4B/7jRVu/wFJH+hy/EZJN3Y5/pDilmo+bOINxpT7Ze+PMSunLo7T\nE52zRJOLcZaiCpsfuPyq0UzVH8PWvZqSlUnOOuicdNDHiy6edNC57IZ731cPw1K6VepC2HyPHQ38\n4OdCk9uWqd5qd4zR6rasx3S1rKVGq6PC9rxztncEPv9+Phc008HStWybbdcS7WzTDoN7nulJEi44\np18T7kfZq8LGLNHgtddOVbgrqSELvdSaBDZsPrzie2CW6P/P3ptGyZaWVcL7DDHnnHkz71x3vjVX\nUdREFVDFUFDQ0ChOYNsKggi4tFd/DtAsaO1PVGz8nLptQREbJ7QRFBSwhAIbRAoooIqax1t3vjdv\nzhnjiTN8P973Oe8QJzIjMyIzIzLevdZdJ/K9J06ciIyMs2Pv59lPd4OIxkBWEC1drUmK9UjZciEz\ny2Gr1QNkE2rYACiTFGJLdJ2ETb7+2AmjqZJssiiKEi/ucayHZInKZElXcEjpalDY6k1y2PhxK5I1\nKQgb66xkTQfiObzwyERCrEeAoZxoUiBcWmYKWzNyVakHyt/gchNLNFbYAqnpIPGI7YHs9kkp0gMA\nvIA9vv6eoNff1LA1R8nzY7WNxsIpTQcr/J0ZW9SgH2EImwbTdNAbWI6nEEgKm/aNnIJz6SLp2JaS\nzO/aNoKIfcPPNK1ha2w6WLfCttqkg4T33Ls/+RAOv6dBfE7sEqXbrPtVI07UPSoF6np+GNuUuvJG\nVqussNE+I3mp6UB6EuMD6QZLtOwFsXpJhK3s+SjW/MQaNkIUqRflZsG5pLDR84iixmaOTmBVhU1T\ne+j114fb089+n3aJyqPRyrWgYSycqoY3/zsz0R4G/QhD2DSYpoPeANUyFbQcNhm6wpZUTxSETGGT\na5Bkq1JpOlihhq0V6E0H+s9J77i/uZ9FFDbEdyTUsMmxG40KG+8elbpB5TqxZjVs5YQaNpqtWvdD\nZFwb737V5bj35+9AxrUTLFFfImzsnGaLbEbrxEBzhU1/bCKLJS9QL/pxrR37/1BPzu0Q6D2kx5BM\n8rmix3eqwbz0XHVbj0iI16cK22zJi2+XPD8m+PT3l2qhhg0wCptBf8IQNg2m6aA3QASjlaYDQdga\n64lEl6j4v4GMG5M7WWFLt6mwyWBdouJ8bcta0YbXh6d7CV2idBEbyLgNlpvoHm2cPJB27QTClmyJ\nWpaYTuAFbK7o2+84jMM7BpBxncbh7/UAQ1lVYaOL9nghvWKGnTxPtFj1Y4Ird56Wa4LIkaq1MV2i\n7Hc+qSlsL7l8Eh//qVvxk7cfVNbp/UP2MYHeQ/U+JRwXl8T7uFQLpJmujTEoKylsupJrYNAPMIRN\nA100DV/rbpSSCJuzMmFLCjENQ+oSVa3VfaNs9qRcw0ZjrdZfwyZbouqkA8eyEr8k0BioC0sqYUtq\nOqDbhYyDumS50aguQCVspGCN5dMNtWdJTQfLVRZUTEpjPQgVmzfj2kpGVj1glqtuic6VWGjuWCHd\nYAvLIAUwDCMUPR/jBVY/VlRIp3i8parPmg5aDDJeC5wmligAvODweMNjvuT4JN519+V472uuUNYp\nqkKfCNEvOC998Sh7fkzY0omErfnvUY+zMTDoBxjCpoGumf2ck9QLoA9sOWJBV9gGuRJERE2331zb\ngs9HU+mxDJS1lWuSw7YeNFii0v/ZdvJ7bpjXi+kKW1IOG90uZFxEkagXqgeicUEmbESIhnJuQ01V\nUqxHseZjMOPGtpU+VSCTUi1RIoTD+WRLdKyQTgy5jXPeOKm5VKwhioBDE4X4PMRjiNtLlfqGNR08\nb/8IfvqOQ7j9yPjqO4M1KbzjzsNxyDAh1ecK2xMXluLbxZpsiTbGeqyosJkaNoM+hCFsGuJrpuFr\nXY34g16yMuVatRO/8eqYzJH6oZMD27Lg+SH8MFKIHwBMDDI1R471aLvpQGMSetdo0luO1KlGhY0s\ny0Ba00ZHhY37yJ2aZIkO51KoB5FiyVJwbkmzJQeyrqKCyE8p7ThxRhYgyJ6usM2XBWFLwmA8q5Sd\nz+m5MgDg2M4Bdk4SYZMVwMVKvWGWaKeQTTn4L6+6omEyw1rh2ix/T49d6Rc8fHYJB8bzyKZslD3J\nEk2t1RLtz9fPoL9hCJsGw9d6A3p3GSAIm2OrdqNQ2NRjuI4VW2q6wrZjgBE2+cJAFxB931ah16zJ\nNprTpIaNnpOssEVRJMV6SISNvyZEeKiOjdSyfNpRukdJbRvOMeIUz+MMxfGV4FyPjQJLGssFiIsu\nvWYLFVGrBghVabbkIe3Yip0tQ55VCgBn5isAgEMTA8o6wBQ2Op1Szd+wWaKdgmVZSDl23zYdPHJ+\nEVftGUYh7aJU8+P3WVLTwUqWqCFsBv0IQ9h0UA2bsUS7GnqxMrDSOCD2s6682JYVW2o6CZsYZCSD\nhpQD7TcdKJMOtOBc206uYSPCJBM2uf6pmqCwFdIqYaNjDGZd1KUOy5kie267eOcjdZYm2ZqAqGGT\nA0vllzQuqOfnd36BnfP+8YJy/Lmi19QOBRCPGyOCd2aeKWwHuSUqT0wo1QLRtRpG/DXsYsYG9jr1\no8K2WK7j9FwFV+0eQiHDCJv+d6zEeqzwd2ZiPQz6EYawaTBdot2HB08v4He/+KSypscBAIKQNQsr\nbVDYbAtlbqnpluj3Xb8HY4U0fvimffHaSqOpWoE66MBSaIVjJ1uiZGfKlqhMqOQatsUKi+yILUjN\nEh3MphSFbYaT0Z0aYaOL4WDGVQJsizUfg1lNYZPOVTQjsP2pwHzfaA6AIJrzZa+pHUrnKe9/eq6C\niYFMYgCvHBviByGfdND00F2BlGP1JWF7brYEADg6OYh82kHJC2KFmJRyWVUzsR4GBioMYWsCw9e6\nB/c8cgH/40tPK2s1P0TatROtT735oFkNm2NbcY2WXAsHALtHcvjO++7CsSmRr5VqczSVTG8aYz2S\nVV0iT7Ki4MmETYo3eOz8MvJpB5dxJYosTkHYXIRSM8JMsYahrBvn1RGZo2OStUrHKVKXqKKwyVMk\n2G0iIxcWK7AtYA8nbHWfNx2UViZsFIZMxO/MQhl7R3OxcqrW4anBvFGXW6IAs9a9PiQcc7x2cXwg\njULGVbpE6YuXZVlNY3hkmFgPg36EIWwa6JppukS7B2HUSGZq9cbOTluqYZMRK2zau92RFDa5Fq4Z\n6AKy0oVkJdiKwtbYdJA0XrKiDTcHdIVNXLgePb+Ey3cOIqNZk1VPKGyAUN4uFWuYGMzEiqRQ2Hie\nm1b8X6z5GMikmjYdpLTHPbdYxeRgFhnXgW2JdP+5VQgb1dTRcU7NMcKmHx9gOWzy5IWNajroJFgN\nWx8SNuoOzjPCVqwFUg2b+Pujv1ddKZdhYj0M+hGGsGkwo6m6DxGiBjJT9YMGkuU2+WbuxJboCgpb\nC6pZbIl2YPi7PumAWaLqk5Tz02Qr00uwRKMowmPnlnDl7iFBwDjRojo0ynSj9ZllDzsGMrFypTcp\nyNZkGEYoeT4GMo5SGC4/B90SvbBYje1WVyIpVMPWDPvGuCIXhFiqsrqn41ODcQ6eGKdVR8kLMMWn\nDdSDcMNiPTqJjGsrdXj9AuoOHi2kUUg7KNcac9gA8Xe8siVqFDaD/oMhbBoMUes+xOPCpF9OksLm\nrKawJeSwERFci8LWiaYDaMG5tmVBHy/pcQICqIX2tYRxVGfmK1iu+bhq93DcFECKVrGmzgCNCZum\nsMWKHD/mUNxtGqLk+YgiJMR6NLdEzy9W4oaGtGOj7kco1Xws1/w45y4Je3locT2I8Og5ltt19d7h\nBoXtiQvL8f/R82KWaHdTtpRj92UO21zJg2tbGMq6yKddHuvRWIvqtqBk60HPBgbrgl9bfZ8ugiFs\nGpLIgcHWIp4+If1Kan7QUHcWNx0kTDQAGmub1EHTq1/kaZ9MB5oObL2GLeGQVU9clORgW7WGjRfm\n807Ky8bzEnFiL9hCXDuUUY51qVjDjoFM/LzIEi3qM0ODKA67HS9kVKtKVtgkQhVFEc5LClvKYSHF\n1Iiwe6Q5YaMmhXoQ4uGziwCAqyUiSoTtMU7YrtnDCJvHH7fL+RpSbn82HcyVPIzy7uB82lFr2KS/\nZXo/NvubTCfMrDUwWDMe/yzw/kngwkNbfSYtwxA2DSaHrftAKpP8O2HTCZItUX1M0EqWaHzfFkhY\nxnWQdm0M5VKr7psEZTSVZSk1bEk5bGSHOralzAali1Uh7cRddvMl1iE6Js3npGaBBd49OjHACJjP\nx3EtV31MDKTj2JOAE7lzCyz3bP8YKV1hPANyaiirWqLS+cqWaMkLUPaCWElzeZTF+UV27KQRT4Q9\nI4KwPXJuCTuHstgxKIglZZg9fn4JQ1lXOc8IPdJ00KeEjTL5Uo4NPxB5f7L9SRZ9s1iPjGubWA+D\n9vH0vWx76r6tPY81oL3Y7m0IumiapoPugdwI4nCKkDROioiarrA1j/VoLaSTkHZtfOodt8V5YO3A\ngqa42Y1NB0TYBjKuosiQHTSUS8XkLa4Pyqfj/DO6z0K5jsGMi6zrxOuUwTYxkGlQ5M7Os+7OfZwI\neUGIizwCZGooA9tmZDOMVHtYtkRn+fHpAp12bHh+JClsuaavTZaPA/P8EKfmyji0oxAfA2AW7V9+\n4yT+8huncMvBMaEQ8mkNPdF00IcK0XzZwyhXbVOuBS8IUfMDOLalfGFyVqlh69ccO4MOI80+3+AV\nt/Y81gCjsDWB4WvdgzDJEq0HjTVsTXLY6AJuaVVkshKnh+02w9V7hlFoktC/GvRZovrkg1LNV1Q2\nOfBW7hL1ArFOdm2FBgAAIABJREFUChvZniP5VEPX51KljmF5PYhwapZZqPvH8qLmLY7RqGBqKIt8\nWhC8i5xoTUlNBADifQAoQ+FjQshHfMWWKCeTk0OZpq+TCOCNsFipx7V3suX6uYfOAwDedNuBeN3r\nkaaDfiUcsyUPYwOCwNeDMLEWVVii6vokfy+5jqo4GxisCyn+xdsrb+15rAGGsGmIEuw3g+6ArHrW\n/BAZLezWcajpQH1bE1HRhRd3jTVs7aKxS1T8nE3ZWK75+IVPfC9eUwNv1YYLWhcKWx35tIOM6zTk\nlS1U6hjOpZRmhGcusW+Vh3YMxK8D1badna9gz4gUo+FHuLhURS7lxJ2mpKbJszVTEvG7tMwIJI34\nSvEL9IUlFoK7UpOHTMwWyvU4Z000R0Qo1QK8+NgOvOqaXcrjRmi0vrsN6X7tEi15GMsLSzSMgHLC\nFy/XsWFZjc1DX/qFO/Ht974crm3H0TQGButGmhO2+hoIW2lmbY8RRcCZ+9d2nxVgCJsGE+vRfUiy\np5MsUadp00Hj2Bv951Zq2NqFmsOm6n3vvPMIAODZGSHPV6XAW/kCRfVPg1lXsUTJbiJiE9ewlT2M\n5FOK9fnMpRIKaQdTQ405bGcXKtgzmotJbD1klujUUCYmmUkKG73unma50v6eH+HcQjXuHE3CNXuG\n4XDLtR6EWKrU45pBqp3z/BClmo8Cf2x5/zDqfomtHycdBGGEhUo9jnMhkl2s+om1qEkdogMZF+O8\nScYobAZtI8XLMrxSa/s/96/ABw8DT3y+9cd49svAR14GXHx07eeXAEPYmsJ8IHQLksKMa36CJbpK\nrEdDl6i1yQobFMamKEG7hrN42eWTyoWcLNGhrIsoEgRMVtioFmqhXMdogStRpJhRl2iljpFcWrE+\nn7lUxKEdA7AsS1HkgjDChcUq9ozkhDXps6aDSalRgF4vmbClJUuUukrH4ho26hKtNCVs337vy/GJ\nt7+AH9/GctWHF4SxwmbbFlybHafsBYo1TQoeup+v9WXTQbUeIIqAQkYdQVWs+Q0xOa5jrZjB5jq2\n0jVtYLAuRPw91Cphu/Aw21KzQitYvsC351u/zwowhE2DiPXY2vMwEEiuYWvsEqX/1xU2IkYNXaKO\nTNg2/k9BjfWwGiYdpHhWGaGiBdgSmVuqsq7PHQOZONR2riQVdGvxF4tltYatHoZ49lIJh3kxv1y0\nP71chR9G2D2SU7o+p5eqSnYakeJcE0t0pljDcC4VX4yp0P7UXDnu6tQxPpCJZ7qmHBuXuEo3LHXl\nMmIWoSgpbPJ6EHZ/00G6D5sOSL2lLwf0vmAKm0bYbHvFL1CubfWlpWzQYYQsvqhlwpbhYwpry60/\nRmWBbasLjf83f7L143AYwqaBPgZMl2j3IOl3wmrY1LdvwP+/QWFzmgfnJt3eKKjD3xtr2lKuWowu\nzwAFZIuzDttiMxkBZkEy21O1RP2QdU0u8ho2shQrXoCzCxUc4N2ucgzIBd5csGs4K1mcActUkxoF\nSL1byRKlGBE6p7MLFVTrIS4bTyZsMlKOFQ+nlwmb61jw/BBlz0deUdiYzUjPtZuR6sOmA5rU4WoN\nBcWa3/B3nHKSLVHx/7Yy+cPAYF0I2Bdf1JsQNp0DUFfpWghbdVHdEp68B/i9a9dmr8IQtgYkhbQa\nbC1E1IpYS7JEKUesUWFjW114kQncZtSwWdrwd5XAWUg5lmKVyV2igGxxMnJGalStHmK+XMdonixR\nobC979MPww8jjOSEwkY5a5SFJitySt4aXz+3UEXND+OYD0DU0TWzRBlhEwQv5dg4yTtT9zVR2GSk\nHDuug5MJWNqxUfZ81IMIA5ol6ochZku1mMh2K/qx6YC+bOiRHcVaYw2b06SGjeA6ltI1bWCwLoSc\nsCV1id7/UeC/jQiFDBAEr7bU+mOQslbRFLbZp9l2LfYqDGFrgAnO7T5ECb+UpOBcIjR6lyh9tq+k\nsG1Ol6h0G5YWpNsY9zBb8mBZonCfGg/my3WM5FIxYS3XfSxV60Jh48/r4lIVf3HfKQAsbDQVEzY1\nWkNW5Ehh2zmcjQnYczPsG+jeUZGdRueZS6m2JMB+D7NFTyFsck3SZeOr59gxwsbq4HRLdKHMPjjz\nmiXq+exxxweaR4Z0A/pxNFWd/xGmtFDcYs1vqFdLOStboim7/xRKgw1AwC3RpC7Re3+VbWeeEms0\nxmotuW2xwqYRtvw42xYvtH4sGMLWCFPD1nUIY4WN1E+WkK4rbKJORv2wD/m67npueg2bfNvSukYt\nUYdFmF6qYrwgIjCIkFJNGj3/S8s1RBEwllfjL4iYAcDlu4ZiInt2gX1ATfKh6SLWI8KFpRpSjoWx\nfDp+TZ7lhG3fqKSw0bQFSeWSZ5JeSrBEAfac96wQmktIuzYW+YQGhbC5Vjy5oZBWLdGqH2CurBLF\nbgSFxvYTgkBX2HjTQbXREm3WJRr/v+kSNegESGHT7UoAqMyx7fwJsebzz9P11LDpChupdcsXWz8W\nDGFrgBBzzAdCt0DPxkuaPyhDXyeFTR8KLneJbkYNm6KoIckSVZWXaR6loQ9npwgPyqGj6QGjWmQC\nWZ9/+dZbcOuh8fg5NihstpggML1UxeRgFrZtxSrHCU7Y9kgKG72mOdkSlWwuNvZKtUQBNuFA7wpM\ngqywNCpsTHlTyaIdE9eJbrdE+7GGLUyuYfOCxi9e+8byK9rmrmPHip2BwboRNCFsctba7DPS/uxz\nZ301bBphI1VvjQqbGU2lwdSwdR/os5kUtpiwaZboy6+YwptuO4CffekRZZ3Id+NoKpHbppO5jYDy\nEFZS04GqvEwvVzE52DicfaFcx/GpwfhCR3VnuiV6blGdCSoTOdtig9wByRINIlxYqmKKEzkiYCdm\nShgvpJWQXEI+wRKl86EpB/KxjkwOrPwiaccCRJcswOwwGsOVz6iPTXYuPa9uBYXG+kG4KbWT3QC9\nS1T+/aa1v+Nfee1VK35dTtmWaTowaB/UJVpbAsIAsPn7UB4GP/esuL0ehY2Imk4KibAZha09xAqb\nYWxdAz3MuOazYnz9m3natfEr//6qhhomimxqHP7O7q8Pi98oyE0HLNZD/Jx27Qbl5eJSDZODWUUB\nA8DHNaVjpYqIit50QErajkGVmJ1dqGDHYCa2p+Las5ARtp3a+CkA2NtE8ZBJnGNbsCzxuEnW5OU7\nh5JfHA10ToMZV+n6bWaJph0LFzhR7PamA9Hk0T+fMb5micqELZswE1jv9JZhLFGDjoAIGwB8+dfE\n7Tr7oovcKDAnKWxUw1YvC3WOMPsM8OevbyRzRNR0S5QeI6g1/t8KMIStCczHQfdAZOOpwbE6YWuG\nY1NM1fnRW/Yr63TN2CS+Bi03V6lpG86lYuUlCFme2GyRWaLxxIGA1e4Vaz5GpBo2Iir6pIO5koeh\nrCuyzTiRq/lhXL8GiIuoH7KZofR/si25o0ldmGyJsvtISpdEnE7Ps2+UV+waXOkVikGK3JAW0SEP\nTi9ICpsrrXe9JeoKO7BfEGj1pWlXvLf099BqYJZo/7x2BhuEoA4UdgDHXw18+39L65yY7bgcmJNr\n2GridnlWPdbJfwOeuReYflxdb5bDJjc6rEGxM4RNgwnO7T7ENjX/OVbYUq190E8OZfHcB/4dXnPt\nbmWdFDZ9KPxGQW0yUBW2wayrxGvMFmsII2DHkKSwhWFciM8IG3v+00vsg4Rq2FyJaMnTCeT1KSlT\njYjcbNFDyQvipgBZBRnIJL/Wee1im3bs2IqVSd4zl1gd3PGdrRG2FL+g65lq8jnpTQeEbrdE01pN\nYj+g3qSGDVA7jVsBs0TNB7RBmwjrgJ0CRg8CvifW6XZhQg3VlQlbZV49Fv1cmhZrQV1kvDVT2Og8\nWoQhbBpi+22Lz8NAQK9hq65RYWsG+ra/WQqbXrMmP27GdWLS4QUhLnISNjkoNx1EccH9SD6tKGwp\nx4qT/1NSrMmkVEcmEzaqd5PXT86qzQXyRVUOqZWhEzbXsbBcZVaDbIke5CG9hyZaq2EjktpI2MRz\n0GvYAKYW9kJwLtBfhC1YoYat1S9eBNcE5xp0AoEPOC7gpERDASAUtvQgWyf1JpAJm0bAYsJ2SaxV\neV5bdpjXyUnvWZmw6fbqCjBNBxqS5lYabC3EpAO2pQLmdrPT7JiwbVYNm3pbb3SIg2f9MLY5p4ay\nKNUYAfKDEI9fYPL5aD6FbErUsI3k0/HxbD4MPYxUwiYTOXmsE1miJ+eYTL+bK2wOryUKQjWkVobe\niEAX4kLaUayuP/7xG3F2vtJSh6h8nJUUNj04F2BK5WbVJK4XMWHz++czZqUatjUrbI5lukQN2gcp\nbE5aEDPLEkpaZgBAxBoSHFdV2PQmAiJsRZmwcVI3sp81MnhFIMtreGXlTiaLq8AobBqSQloNthZy\n/pr8c7tEK47y2DSFTb2tn75cjE5htQfG8/F5LlTqeM/fPYTLdw7ixsvGkHbYha5Y8+OGAwIpGXID\nhquoU41k5xSfRCDnpFH0ia6kEXQCRrVneuPHWCGNa/YOJx4j+bgrW6KWBWRdWWFj+9NUiG5GKq5h\nC7b4TDYPFOtBv6e0QtjWdhlybaOwGXQAQZ2pa04aMTEDBIFKD6g/+zXEFwu9Ji3JEqV9BnaqxwE0\nhc0QtrZhcti6CFpdYdQhwkZKzGbpMbaW69Fs8kI9CHFitoTRfAoj+XRMtJ66uIzlqo//fNcx5NKO\nkjcnW5yAILUykVMszpSqsFkWm6yQdm2laJ8K4wsJkR5JoHNtt1MzVtg0IkoX+nzKUZQ06mgdzHS3\nHQqIGjavnxQ2bTRVSmo6yK7ZEjU1bAYdQOgDNrdEAWF5KgobJMJWBQam2O1WLFHap7BDPQ6gNh0E\nUrfqKuj+r6ObDJPD1n0Itd9Js1FTa0Vcw7YFFpptARF/2Fh1kLoHT1wqxcPZSS07qSlgcg3fmEbY\n6AKp1KpJz7Ohu9O24QUh9ozkEjPp8k2aDnQQ0RpZQx3ZR990I56bUcfDNLNEiRBSgwUhLVmi3Q55\n5mq/gCYd0O9VsUTX2CWaMl2iBp0AETaXuwGBB6AgKWy8QYpqzAIPGNjBwm5bskT5PoUJ6fgc9Yqw\nYtegsHX/p9smQ+SwbelpGEjQ6wqbjZpaK5zNrmHTukQtiz0PCoaVi9Gfmy3hBYfZvDkiKad4jdku\nnpMmBwePFpIJ0qhE2ORsq4JWk+bYFhA0Hxul17D9yy/cGdfZyYgJW751he2ll081PU5SrAcAjGuE\njchoLxA2IuD9RNjIEk3MYVurwma6RA06gdgSTYmfAaawNRA5MIUtPcD+NVii/OckSzRW2KTmgnqF\nNSOULhnC1g7EGCTzgdAtCLVYj2ajptYKqs/atC5RyXyVmw6IZNBFbKni4/xiFQf5kHRaPz1XRsa1\nMcbJilw/1mx+pmyJyq9XUncn6s0zzPTmggMThVgBlEFqYbudmukmx0k1qZGjujB5KkK3gkhL0EeF\n8/qc33Q7hM2x4YcRoijalAklBtsUoS+aDgBBnAIPcDKN634NcLNAdqTFLlFS2JIs0ZIgbGHrlqip\nYdNARK2PPku7Hnqsh6hha++4ogh/K3LYxKOSeiVmdxYBAPvH2XQBMWqqil3D2fgiJStmzZSxZkpX\ns+5OXdEiFFq0rUitbHacVtHMEiUipytsvWSJ0msU9JGMH8d6xJaoZM+vI4cNECTQwGBdCOo81iOJ\nmKWTlTc3C+RGVEs0qAPeMjtOZV7UpFUW2Bp1huqWaCZhfRUYwtYEffRZ2gNoUsPWJmMjwrNZX9KV\nHDZYqNRZVxIRNiIdlMFGAbCyfbS7CTGTB7PLaGaV6gpbTLSaKFS6hdoMVf6c1lLDlgRSzHTC5iR0\nvwK9ZYnS+66fyrBoDBf9nuQvG2slbET6jC1q0BbiWA+NmAW1FRS2NFPGZEuU1LZB3g1KM0eri2xf\nh6xVSUkjS1Q+fgswhE2DIGrmw6BbQAStMdajveNuviUq3bYQB8zGlignKdPLNMydzwaV1Ihdw00I\nWxMiN9pUYVMvkh6fHjGUSyY8hRabDsoeO067lmgzha3Kz1O3bklt6Q1LlG37S2FTa9jkLy/ZNcZ6\nxKPa+onxGnQeQZ13ifLPEuoO9T2usOlWaRNLtFl8R3WB7RsTQq1LNCZsZtLBumGaDroP+mgqImxt\n17DFsR6b33QAiNqdY1OsG4lICo2aolo1Vwq83TmcXKvWTHlrVh+kW6Kk9jVT2PT9m6HsMRI6km+T\nsNnJNWxLfDTXmGaJVjW1sptBambYR5ZerLAlhF2vp+kAMAqbwRrw5D3A71wDfP7dYi30edMBKWC6\nwpZkiWYaLVGqXxucEvsBksKmE786e2xD2NqHaDow6BY01rCxn9uO9XC2bjSVbVl48dEJ/OF/uAH/\n+a5jAIRyML3MZ4NydUyu9xnJJStma73o6QobXVCb17C1RoRKtc4obDdcNooXH9vRcBxSJXXlkAhb\ns4DfboKYDds/nzL6aCoZ6xn+DrCZwt96bq79kzPY/jj9DWDxFPDo34u1hhw2sj49RsxioiXlszmZ\nBEuUE7ZYYZMIW26kkfjRlANjiXYCqu1msPWIlTXugHTKEiXCt5mdZvRQbNKBhVddsytW1tKxwlZF\nNmXHFzJXqmHr1JzMZsSmqcLWoiVKSl2753n7kQn82U/erNQ6AcAiV9h065bmy66VuG4FiLP0Y5eo\n/vsE1jeaCgD+4MtP44c+9HXc9+xs+ydosL3h8ZxHebyUMukAqvXpJFii1HSQHmBjpogjxISNFDa+\nf2WBK2waIaQpB0Zhax8iTX9rz8NAQFiiagdv+8G5YszRZiHuS014zNgSXa4pCpIceKsTlZdePonX\nP2/Pms+jmcXZrGhfbnxoBfqEgk6Bokz07leqbVtrPdRWIG466KMPGRollTT/d+2WqBok/eTF5TbP\nzqBr8YX/CvzGvvaPU+eqlqxmNcR6SAG5TlKXaFWtbaM4jpiwTfL9V7FELz3GtiOX8eOY4e/rhhkl\n2n3QSXSnLnSb3SUKMJIZRlFi3Rw1HfhhpBA2mSzpluVH33RT4uM88F/vWrE2rxmxaTeOg9ApJVDH\n773henzuoQs4pGXAVXizgzxftFtBzS5GYUPTtZXganNjZ4utW0oGPYav/R7bVpdEPAYAnP4WcPo+\n4LafVfcPfOChTzAr8virxHpTha2ZJaopbGHIiJWbVfd3UpywWYKw+XyQfNx0oBHChz7JpigcvUt9\n3BbQ/V9HNxmRlvVlsPXQa9c6NUt0sycdAKolqkNWH+Q4DvmC1ioRGsmnV1S5mtnAQx2KxchsEHHa\nNZzDW154sOH8j0yyuX+TQ8lNGd0Euw8VtpVq2NYK+gJDX0hmS7WVdjfoZbi8merS4+r6R18B/PN7\n1SHqAPCtjwB//3bgUz+trtPszrAu1dbwWI94okFNbJVYj7r4P8Uq5QSsMs+UNDcr7l+ZZwpcflwQ\nPHrsx/8BuPzfARlt9FUrL0fLe/YJ+ucjtHegK2tx00Gbn/1bQthgAYgStS85/b1ZHMdGKVcEPRbj\nQz92Q2w9tYK/eust+PbJ+U6f1qp432uuxGuv240jk4Ob/thrRV8qbEEIy1q7mpYEKhGgesZzC40j\n0gy2CcYPAxcfBqYfBfbdLP0Hfx/NPAXsulYszz7NtrIaB4hCf4ATtQxT4+RYj9j6pKYDSUkjZU5R\n2CTClhsVxM+vAfMn2O2xg6pSN3+CWaUHbgdsB7AcQ9jagalh6z40G03VqeHvmzrcZkWFbesJmzzu\nCgDuvnrXmu5/25EJ3HZkopOn1BKyKQe3Hhrf9MddD/p1NJXboXZs+jshwnZ6rvUvFAY9BhqcPv2Y\nuj60G1g8DVx6QiVsNV7P6Guqa116j1A8RxzroVmiSU0HHps+AzfDSJ68PxE2R5o9OscJ2+hBlRDS\n85i8im1pAHyLMJZoE/STXdHt0PPXOhacuyU1bOCPmVDDJhO2QjJh64WcMYOV0a+WaCfUNUDUsMWE\nbb5sSli2K0h90gkbEblL2joRtkAjbJ5E2IgghVpwbtNYjzpw8t/Y7V3XNxK8WGGTAnhjwnZA3X/6\nUXZ78nK2dVKmS7QdRJrtZrD10H8nHQ/O3XRLNFnVk2vY9jYZNdXuue4ezq45RsGgsxCW6BafyCai\nHkRIdaB+DRB1cETYqvUQNV+8mBUvwB9/5dm4M9Wgh0FjnmpaJ3Cdr196Ql2vLfH7aapVXbJESX1r\niPWQg3PTKtF68h42xH3385Jr2HSFbf4EMLgLSOdZnRytX3yEkbg0b5pyUmtS2MzXdQ2iS9Qwtm6B\n3mzQqeDcOIetraOsDdYKCpu8dmC80PD/ncBXfuklie/sv3zrLVgot/5Nz2D9iHPY+uhbYRCGcLRI\nj0//zO2or4NUpTSFDQBqfhjHg/zh/30Gv3/vUxjOpfDDN3UgEsJg6+DX1C2BiNnCyeT1JIXNzTIC\nGNSAMAAQqbNE5cdytVmiz3wJOPZK9sfbqsI2epD9LNe8zTwJTF4pzstJm1iPtmBq2LoOjTVsnbFE\nww51m64FlrZthgMT+Q15fLdJntrtW1B31q8gha2fRlMl1bBdt29kXcdKeg/LxI/mlp5dqDTsZ9Bj\noC5QX2ssqZKSVktej0LWVOBwilMvM1K1fJ6pb6SOOa6qjNFWrmGrzAOVOWAH2ZiUw8a7PisLmsJW\nAxZOAQdfxH6Omws8oDyrNk/YxhJtCyaHrfsgJh10NjhXWKttHWZNENMVVt5vx0D3x1MYrA992XQQ\nRB2J9ACQ2LzgSZYoNewslE0+W88jVr0kwhYGgLfcuA6o1impbFHEukRzo2KdVC1lNJU2M9R2AFjA\nwmm2PshHT8n7l6YBRKymLu4S9VgGW25MnIuTZvtXF4GM1MG6RkvUEDYNJoet+yBmidK2M0SLfsWb\nWcMWd4muorElndPxqe6PrDBYHf3YdOB3sOkgaeqGqrCx13Wh0p7FP1Os4cb3fwFfe3qmreMYtAEi\nZDIxk0lZklVKeWgK2YsEYZMVNjvFLiQ2J05hAEQBU8ssixGtRU7YaPSUbJWe/ia7Lde21cusq5RG\nT9F9vBI7FzlyhIhcizCETUOssPXPZ2n3QxtN1angXMJmDX8HVh5NtRKeeP/d+Mefe2HHz8dg89GX\nOWxhGHd3tgv5OCM8HFpW2Ep86sVcqT2F7amLRcwUPbztz+5v6zgGbSCphq26yLapvErk/BojUXle\n3kHKFXWIKgobe4/EahnFa8R5a2mxvnCK3SaFTW4iOP0NRu52XScUtjKfbZvVlLQyJ/7ZEXXd5LCt\nH3GB+9aehoEEuq5FmtLWLmE7NjWIFx6ZwC/dfbyt46wF1iqW6J+/5WbsGs42rG/U5ACDzUdsifbR\nt8KO5rDZal7hQrkOT1LYyjU24/FcmzVspNqVvAAzxRomTJnCxiHwmU2Z0rrjExU2Xqc2MAksXxTr\nVL9WmACWzgjyRR2iOU6UfM0SBQRxiica8N+1mwaK/DEaFLY6cOrrwJ7nM7JGf88lTswympKWuG4s\n0bagqzgGWw/xO2E/d6rpIO3a+Iu33oJr966v+Hk9WCmHDQBedHRHT6T1G6wfdh82HQSdrGGTFDYK\nkk5S2M4uVJTP8YtLVfzwh76OM/Nq0G7ND/D79z6Fsucr6/LPFxbNNIWOoTQryBXhr34Y+LWd6loY\niKy00GekDpCI2SQjcvQ7rkmEDVhBYatLTQdcLXMzjKxRHIissAGMwNH95S7RS0+K4F7LYvuVLrGf\nFYXNFYRNt0oNYVs/jMLWfYhHv8XBueznTa096xCsLYgSMeguiKaDLT6RTYQfhh0PzgWAUW6J1gPx\niU1Eq1oPsVQVpOvex6bxzefm8MF71Oyuf3r4An77C082rJdqQXy7Ug9g0CF88BDwkZera8/cy7a1\nolgjVY0sRFK/YmK2A0AkyJeyjgSFTbZE+fvClixRvwb8zpXiZ0CQs4EpYYvEtWoV1vyQlyasuBne\niIAEhS2JyKXEubQAQ9iaoI++/HY99M7dqEMK21ZgvTVsBtsH9L6l+Il+gB9GSjB0O5Bn7o7wjlBF\nYZOIlrxeyLCygvufU2fd0vEeOrOorMsKW9UQtuaoV0RN2GqYfYZtZ55I/n95yDsRLlKk6GdS2AaI\nmGnhukSgiODpCpse6wEw4rR8QZCnHVfwdU7OBqfEeRGJK3JiptSkpZsraZU5dlsmcraxRNtCzNOM\nJdo1iGJljW/Dzc9P6xSEwtZ7527QGViWBce2+qqGrZOjqYZzqZj8kSUqd4nKREupbZOsUpmA0fpz\ns1IaPoS1CjC1zqAJfm0n8Df/UV2rLbP8Mh1P/hPbDmj2J3V2XnxYrMUK27D68/I59RhEeKq6wsbX\n6wlNB1SXRmTLSQNLZ9ntH/wosO8msQ6IhgN5jZQ0Oi7AFbYmShrBWKIdhLFEuw6RJrF1qulgKyAm\nHWzteRhsLRzL6itLtB6EHathsywL/89drFEon2aqWS2hhg0A6oryJoic3EG6XGVqy0zRU4lfzShs\nq6LMVaMnPquu/8UPAL95QNSdEZ77GtuSOkYg1enio2KNQnNlwhZFwIN/Dey+ARjeI9aBhBo2Utg4\nEc9KTQdnvsVu77mBbZ0UsMgJ24Ckplm82WvssFiLFTZOzHKawkYqXUYjZgSdyOmv0QowhE2DXuBu\nsPXQh77HOWw9+O5tddKBwfaGbfdXDlsQRh2L9QCAt99xCH/65pvw2ut2A0BToiWvN7NKi9L+cmep\nTPxMDVsTkCIm23wAi7sAgAc/rq5TREZd6uCNIhHVMfuUWE+yRM98i9mmN75ZdHLSfqSQjezn65yU\nk5o2zMeUBR5w5n5g4pjUSJAWtW6FSXEOxQtsO35ErBH50lU6QER7AI15awAAC0gPqutGYVs/RNNB\n/3yYdjv0bLxOzRLdCqw0S9Sgf8AUtv75jOlkcC7A/n5ecnwyVthkAlb2AgxmWW2SqrwJYiavL1dl\nJU1V5Oh0TEqxAAAgAElEQVSUa4awJePCQ2w7cUxdJ4Lz9BfVdQqhlQlbvSLUMHmdlLM4jqPKLFXL\nAa58nTRZgO83d4LZpHqTwuIZwM0BQ7v4/pz47b1JPJYjEa0BibCRvakQNq6wJVmiRMzcnGqD0u3M\nkBgmTOsmOHf9MMG53YemCtuWndH60epoKoPtDdvuM8IWdC6HTUbaZZcwvYaNxlPJ67KSJhM8uZNU\njwcZ59lrbdewnf/emi7MPQMibFlNYasssK0n1QXWltnIJkDUlQFiDWgMwgWEwlavAk/fy2ZxZocb\nJxrMnQDGDklEjq8vnAJG9glSVpxmIbaTV4jHkgN05RozwsRRaV9S2BIsUXps/Rh0H/11clJrGv5u\nCJuGSIuOMOgCNIymYtueVNi0rUF/wrGtvrJE/TBKHNreLmhMldxcUPKCxAkIslXqBUIxk4lczQ+U\n/ccL7EKr1LAFdeDz72JdhTJKs8CvDAMPaDZgeQ748IuAT71tjc+uBzB/km19ydaLIkHCZMJGMzmH\n96lKWkUmbNJEAz3WY/kccP4B4PDL2M86MZt7lhE2eXQUwBS24b2sI9Syhc0px3GM8xq13Fjyt2l5\nX1tT2JQuUSJsGjGj+yQROWOJrh96dITB1iPUug7Iru5BviZNOujBkzfoGPrNEg3CcEMVNiJm9SCE\n54dx3Iecz1aUathUS1QoHJ5moQ7lUnBtS61he+5fgW98CPjMz6knQ3bf135XXaduyUc+tbYn1wvw\neG5aIBEtryQK7z0pV41en4mjjIxRrA2Ru/y4prBpXaIUCULKWKywVdljFi8AYwcaiRwRNoARJJqO\nIFuZh17CtkWNhF/7BmDySvViY9sszDcKWT2aIw2MosBdvaaPFLyh3eq6bSzRtmB4WveBfiX6iKpe\nVNgIvXvmBp2A3W8KW9DZGjZCWlPYKKJjhCYgSEpaqebHpFGvYUvqNi17AQppB9mUo1qiRAiWz6sn\nQwRBj7OQh5XX2xuX1XUga1NWxuTnL1uf1HAwwUcBEiGj/Qd3JStsZDnGRf6cwBE58mvMDgW4wsZ/\nP4HHbNTStGg4cDLiOLkx8VgHX5T8/F7/YeCdX29cJxUvN5K8PnZQXScCu/sGdb0wrr4/VoEhbE3Q\nR5+lXQ+6sMWjqeIctq06o/WD6k17mGsadAD9prCx4NwNtER9ImzswigsUXUCwmihMWi3WPUxPsDW\na1oMSD7jIpuyUZWs0ph0NRAzHitBURfxunRBPvudNTy7HgCF0soqESlm2RHVEl06yxSl0QPs5/h1\n5PsPTK1cw9ZA2LjCFtSARz8NwGKESCZy1DlKhE2eDSorbLlR4JZ3AK/7X609b7I4dcJGpPTAC9V1\nCgTe/Tx1/fofU5sTVnvYlvfsM5gu0e6BPkO0t2vYTHCuAath66ccNj/o3GgqGY7NQojjQe28Hm0k\nIVC3WPPjUVaeZomOF5gqo9SwcYUt4zpqDRuREJ2wUTSFXkQuEza6z/c+ATzy960/0Y3Cc19jdXfU\nPLBWUBSGbIkSARvepxK24iUWapsu8PtyskcEb3CnWgun17DFkwU0wlZbBu7/E+DY3UzZihW2GnDu\nu+z2Dt7F6mQEsZYJGwC86gPA8/5Da8+bSFZWI2zTPEfugKbYzT7NtruvV9eHdgHXvaG1x4QhbArk\nurU++vLb9dDnu8Zdoj3IeeJYD/OX19fotxw2P9yYLlGA2aJEwKaXGHHYM5oD0Bj3MZowymq56mOC\nd4N6usKWdpFLNyFscn0WIAgbwKw4gkzYiIR8/X8A3/hw609yo0B1dScTbL9WQAqbTLSIgA3vYa8V\nvc9Ll1iobYr9bmKFrXiRKVaFHWtU2Dgxm3kSKM+yqA9AkCnfY7EiuTFgFydKrhRgq6tjawFZn/kx\ndf3oK9l27JC6fud7gPSAOjGBcPdvtvyw5rIhQf78NE0H3YMotkTF1rJ6s3DfdIkaAP1niXpBGDcI\ndBopx4qbC84tsgv+/jGm4ugK21hBtT7DMELR8zGhWaJRFDGFLeMwS1SuYZOJmmwFknIDiAJ7fT2u\n21pgg8O3GkQ+SfVaCQ/9LTAtz/r0hJoYJNSwDe0GokAQr/IMI2WpPPuZFLZLT7BGhFSeHY/mkhLR\nJSWsOA3AEgX9pLBRty5NOLAspqT5PAbk8EsBm08sIPUtM7QmK7IBdF+5exQAfuTPgXefalQT7nwX\n8J6zycdK51t+WEPYJERNbhtsLfRmgzDqTTsUkHPYevP8DToDuw9miQZhhCXegVmrh8hsEGFLu05M\ntC4sMtVm/zi7CFIzQhRFKNXkGjZGCkqejyhCXMNGCpsXhPDDCPm0i2yDJSoRtiXpIlyViJnckJCk\nsFUXgJqm0G0F6LmsRthOfBX45FuAz/68WKtLdqessJElOsRHRxEpLHFLVFfYLj0O7Dje2N156Ql2\nDLId62U1eJZULnqt5SYCNwvMn2ANB5e9QFpv0iywVti8M1QnbG4mOcetQ9h2hE0uGl0rFFVte3+W\n9hSonlAOzu3FhgMAsbTWq6dv0Bk4lhU3z2xXfODzj+HaX/lnVOsBvCBExnU25HHSjqhhO7dYxVgh\nHU86IAJW80OEETBGlijff3qZkYNdw7l4PwBYKDOiOZxL8S7RBEsUEOGpgKqkNbNE6zzOorrUaKkS\nwhD4o5eweZxeKXmfToGOL49USsL/5bYdqViAsEOzw6rCVl1g0whoJic9z9IMt0Qlhc0rsyy3HVeo\nMR0AcPERYOoqnp/miMci0P5LnLDl5SHsaZERN7RXrJPCptevrRVENnXCtsHYdoTt1Gx59Z2awChs\n3Qk9MDeMelehii3R3jx9gw7B6YNJB//0CLOqnriwjCCMNswSTbuihu3CYhU7h7INcR8UjqsH6j51\nkZGJK3cPKetUCzc5mEE25aCiWKKysiQRM7mGzZfiO2rLrH6J9q8tAoiaK2xeETj3HVZ/9fhnk/fp\nFOi5rJYFtnimcY0szdwoU8VI8ChOMyKTGRD7eSW21WvYZp4AEDUqbL7H/m/qKrZG5EwmbE4KgCUp\nbPKIqAywwAmbXDc2eTn/f6mWbT0gcm4IW3top7tTFtj6qSC42yFmiIoatl5V2OLgXKOx9TVsa/vn\nsO0bZUrKg2eYRbZRlmjKsYXCtlDB7pFsHPdR57EeixVGSMYKaViWUNKenmbq17GpQbi2FXeJTi8z\nIjY5lEU2ZauzRJUaNllZWhL1VbrClhsDYDHCRpahXwECMWVB7L+k3ncjQaRxtfFIFFUiE1Qie7lR\nAJHIGqOJA0RSvRJT1wCthq0CnLqP3Z66SlXYZp5kx5u6mq0ljXyyLHYfr8i6uDKy+pYWBFombNe9\nkW3PfGvl57sa6D2gNx1sMLYfYWvjM1Ame9v8s7SnEOk5bFHUwzVsbNujp2/QIbiOBX+bK2zUefnA\naUZQNkVhW6pi53A2jvug4NzTc0wN2jeWV7pKn54uYs9IDgMZVzkOWaWksCmWqKyMyUGvtSUxOFxW\n2LwiG1WUyjEyIitxSbZoNaFJYTV85YOswH6toMcPg+b7BHWuCkIb2i4pbIB4LWafYaOeiJh5RY2w\ncYWttgTc97+AvTez4eqywnbhe+x2TNgSFDZA3Cc3qg1V5+uWzR6TsP8FQGESeOl7mz/ftWCTFTZ3\n9V16C+18BKolbNv7w7SXIAZTiRy2XiVscQ5bb56+QYdg90GXKE0dePA0KWwbU8OWcmx4QYjFch0L\n5Tr2jDCikHbsuHuUCNv+sTzSrh0rbE9NF3F4coCfn1gnS3RiIINsylZHU3klRiD8qkrYqkusbmv2\naZXY1JaAzCAjF/WqOuzcKzYWwCvxIC1MRogi4EvvZ7d//klgcGr1+8THTwi+1SEHASsKm0bYAo+R\n2eIFrrAVxH6kOMqW6Kmvs6DZl/2yUMvoMc5+hyl0NHR9/DCbJdqUsGlKF3VeDkyJDlGAPc4vPtX8\nua4VvWaJWpb1nGVZD1mW9YBlWffztTHLsr5gWdZTfDvK1y3Lsn7fsqynLcv6nmVZN0jH+Qm+/1OW\nZf2EtP58fvyn+X035VJnFLaVEUURHji9sCnxJ3pgbshjPXoRcQ6bsUT7Gv0w/L1YYyTgmUvMOtu4\nLlGmjH3zOUYsbtjPCFDKsWLF7NRcGRnXxo6BDDIuI3ieH+Lp6SKOxYTNkRS2KkbzKaRdGzl9NJVX\nEgShmcJW12rYMoOAm1MtUTqWjqQYkJUgE6pH1xjGS4+/kiVanhW3FYVNtkTBCNvcs+z2+BHVEp1+\nhN0uTArCRs0CI5exraywnf02mwpAZOuKf8+2lMVGoPvo1uTem9Rz2yj0GmHjeEkURddHUXQj//nd\nAO6NougogHv5zwDwKgBH+b+3AfhDgBE8AL8M4BYANwP4ZSJ5fJ+3Sfe7e6UT6RSB2OafpW3jMw+e\nw/f9wdfwj987v/rObULUsIltzypsllHYDPojh61UU222DbNEeQ3bN0/MIu3auG7fCH88J246ODVX\nxr6xPGzbQtqxUauHeOD0Amp+iJsOjsXnJ2rYapgcZIpPNuWg6gfi2uIVxYVabzog+83XathIYfM1\nhS2p8UC2RFtR2JpFiAAsEJe6JZPQksLGCVtubIUaNvCZnnxA+/hhoXLNPAl85bdYHtrwXqGkEfmi\n5oR4csEScPFhdYzTFa/hj6WpkWS76sSMhrmv9Nw7gVTrGWqdwEbVsL0OwMf47Y8B+D5p/c8ihvsA\njFiWtQvAKwF8IYqiuSiK5gF8AcDd/P+Goij6esT+Wv5MOlYiOmWJGqyMEzPsj/Wp6Y3PEpLjPGjb\ns00H2tagP2HbLL1hOyCKInzs357DR776rLJOY6IIG6qwBSG+eWIO1+8bQTbFVJm0Y6EeK2wVXDbG\nLq6ZFCNyX39mFpYF3HpwPD4/Oe5jcoipN9mUgyiSIqO8EhvaDTBVCWCWX20JyE8w4pGksKWSFLaE\npgKZ0LWisBUvJO8fhsCf3g18uMlgc6XLboUaNiJsw3vUZgqdsAUecPpbrANz7LCwRB/+W0YMX/Xf\nwRPPGdGJCdsg2xJhu/A9dix5jNPQbuDN/wS8+rfUczv8Mn7+WvPGgdv5/XY1f16dwCZ/8+7EX1AE\n4J8ty/q2ZVlv42tTURSdBwC+5Tox9gCQIqBxhq+ttH4mYV2BZVlvsyzrfsuy7m8n20iuW9vudkW7\niLuwNmMgYsJoqt5V2Gjbm+dv0Bk4PRqce3Gp2hCd9FffPIVf/swjeP9nH1PWizphS21UDZuFuh/h\n2UslXLlrKF4nIhdFEU7NlrBvTNS2eX6A+56dxZW7hjDMoz7SLlPeAGB6qYodg4yw5fh5x40HXlGy\nRDmBmX+ObccOifo2gHWBlufY/kk1bEkKmxwZUW+BsC1LNqFMFEntkmviZMh2bCuW6NBetZmioemg\nyoawH34pU9dSnLDNPcvuO35E3DczJJ4nWadkb86dYNvh/ep5XPaCRuvzxp/kj11T1zODwI99iv3b\nCLzxr4FX/sbGHHsFdIKw3R5F0Q1gdufPWJb14hX2TbpKRetYVxei6I+iKLoxiqIb27kQqqOp1n2Y\nvkA6bpsXhK3iBbjmV+7BFx+92Oxu60IYd4mKWrZeJTyihs2gn9GLTQdnFyq45dfvxRv+SJ07SVlm\nu4ezyrpO2Ogzo9NIuw4WKh6Waz52SudAcR8Xl2ooeQEO7Sjw/VnN26m5Mo5PDcb7k8J2YqaE84tV\nXL2bFbgXMoywlTwibCXJEuVEgWq3xg4xJY2I0+IpRobGDokatla6RO0US/j3NUv0a7/HCvJlkMKW\nyqsK2/kHV3jVoBLHVpoOGhQ2Cs7lNuXpbwBLZ4Crvp/97LjAxHF2e/f1qholW5u6wpaUn9YME0eA\nH/oY8Lo/aPy/Iy8DRi9b/RjrwfFXAS9458YcewW0/RcURdE5vp0G8HdgNWgXuZ0Jvp3mu58BsE+6\n+14A51ZZ35uwvtL5rPepaMG5vfVhutlwHfbHJ0cTnJgpYbnq47f++YmOPlbcJSrlsfUoX5NGU23x\niRhsKbq56aBU8zG91Kjs/Om/MuWD5nUSlquMmHmB5FCEbBYnze4EgExq42aJXuRdnVNDIrGfiNmT\nF5nteHRyMF6v+SFmS7V4JFW8Xg/xhUcZAXrFVazbMp9mYQrlms8+hLwi61a0nATCdlBV2GapCP+w\nVMO2CKQ5SUnKWastiRgQmSD5NeAL/xX445eo+y9fZBlkuVF1/3PfFbeTLM9FaayWbinKKM+y880M\naQpbiZHQFCdaNGdUrj177e+y7dWvV49JJC+VF40FpLCRWjnQYrfrVd+3ccSsy9DWX5BlWQXLsgbp\nNoBXAHgYwGcAUKfnTwD4NL/9GQA/zrtFbwWwyC3TewC8wrKsUd5s8AoA9/D/W7Ys61beHfrj0rE6\nDpnsdelnadeALFF5FJjPi3KIzHUKDTVsIXq/hs0wtr5GNzcd/NzHv4ubf/3euACfcKnIyMmekZyy\nTt2gnrR/yWMEYMeAIFAbVcNG1iUATA2qCpsXRDFhOzYl4jvmy3VU6yHGlfNzUAtC/MsTl3DFriHs\n5cG/+TQjFGUvYHliUcjiKYiAAYywZUeYZScrbHER/hFB5GrLorYqUWFbZITQzaoESW4ukBWx5fMs\nykPeP4qAE18R+xSn0QBSsoCVCdvSWVazl8qx/Sjs1ysz65Myz5Jmel52G/Cuk8BVGmEjhS0jFM6Y\nsC2cYgqm2+Y0gm2Idv+CpgD8q2VZDwL4JoDPRlH0TwA+AOAuy7KeAnAX/xkAPgfgWQBPA/hjAO8E\ngCiK5gD8KoBv8X//L18DgHcA+Ai/zzMAPr/SCUVYv8pmRlO1jnRCDRvddu3OfjDLQ98Bpn72ag0b\nLMuoawZs+PsWE7bppSq++tQlNRQWwFefZiGnX35cvcjP8/maOpEj69OTPgtobWJQUtg2iLAdnhiI\nb0/KCptjo+6HeOpiEeOFdEzO0q6N83xI/HhBV9gCnF+s4vAOMQydFLaLS1UUz/E6vYmjjGBQ0wGl\n+wOawvY0U6cKO5gS5dcYYStMslDXZl2imQSFbUkibHJSf/EiU6Pk/R//LCvepzgMfbTU4hng3APi\nZyKA5TlWQ0YfuoHPiN/+26ScNE4KS5cYOYuHsHNrVu/YzI00WgqksKXF706ZZzq4wc0CPYq2gnOj\nKHoWwHUJ67MAXpawHgH4mSbH+iiAjyas3w/g6rWcVxBG61J51Bo2Q9lWgs0lLl8hbOw1S3VYYdNH\nU/V2cK6pXzPgw9+3+DPmv9/zBP7222fwmmt34X/+aByJict3DuJ7Zxbx6QfO4e6rxYVzsczIiZJJ\nBqBIlqiktlOH6A5NwdoIHJ4U5GpySChsaZcF3j41vYwjk4IYpB07Hu4+oSmAXhBiruQpVi7VsL3t\nz7+NNzhfwgdSAMaPCmIWBowcHX0Fu4NMnGaeBMYPiWDYepWRtJF9jMglKWxkiToZoDwj1pelaqDp\nR5l6BTCyeOxupuoRmXroE8DgbuDFvwg89hlg8TSw7yZx/9/hMzoHdjJFj5oOPv5G4PR9wN0fAG59\nB7tdXQCO3y1UunqVKWPzzwGjB4QSVuTWrNMCrUhU2KQayFbq1/oQ2240FYD1j3wxTQctg7px61Ld\nCtmjHVfY0Diaqkf5GmzL2KEG6vD3hbKHn/zf38I9j1xY5V6dxQVei0ap/oR5TszOLVS0dXZR1xW5\nZU7Owkh8gSvyDDbZrtwohe2QpLANZgRZSDkW6gFrLjgkKWZyHpxew1auBVis1BXCRpYoABy2ziFy\ns8DwPqYs+TWW2F+eBY69ku1E1uSDfwM8+y/AwRdL61Ux+SA7pGauEapLzBJNZZsrbGS5VuaZ0jVx\nTCOKTwG7rhW1XUtSvZqMoV1siDrZnFQ/Nsut3Ge+zGr1Dr9UEKpZPilg/iQjbLIlquekNQNNLJAJ\nmzyQfcAQtiRsS8LWCavB8LWVQaRYtkEqvIsq1eEPZtkKBXo/OLc3z9ygk7BtK35f//z/eRBfenwa\nn39oY0KooyhSlHACEbOKRsBmlpPXaX8/VI9HChsgPg9IYZMVrI0Kzh2VyJX8ZSjt2liu+pgpekrd\nnUrYVAXwAm+2GFcImyCBh61zWC4cYEF6Lrc4H/sHRlqO3MV2IuL0yKeA0YNs9BKg1rBlBhm5qcyr\nT6aywBSz4f28q1SrYSNSQx2aM0+z7cRRQRTDgFmxE0el5gZJyfOkWJblC6zon2rYyMqlyI+Lj7Dj\nUI4cAPzpq4B/+59svqissIV+68PQkyxRy2LkEDAKWxNsS8K2XoVNHf5uKNtKCHiDgfzBXamzP/pU\nhzsCZCuUbXs7OLdHuaZBB+FY4ovlI+eYypJdQ07ZWvIm3/XJ7+Ha//bPDfeZL5HFKYhZ2fNjoiYT\nNj8IsVz1Y7Wp6qv1ai7/gyRblDpHVYVtYyzRZkg5Nk7OMuKxWyJs8nnIxExWAGUSWNAI2wnsZj+4\nGUbYLj7CYivkxH6/wsjYyH6mYAFcMatIhG0UqEhjpQBG8oIacM0Piv0JS+fYpAAnLTLQZp5k24lj\nQpFbOMWOMXFMEMu6RNJkm/X4q1iESFhn34Spa5XGTl16DJi8Qjwvwjc+zF+oA0JhAxpnejZDkiUK\nABF/z+2/tbXj9Bm2JWFbr8KmDn83WAl+giVa8TaqS5Rt5eaD3lXYzBxRA9F0EEURZkvMktQVrWZY\nrNRx9a/cg9/7YmtDrP/P/WdQ9oIGy3WOatKkJgJS19KOrdSqLVaYHUo5Z0Ty/CBU4juIsC3x/ae0\nmrKNwrff+3J85313KWtp144/O1TCxs5jMOMqJFkmbLIlmpMs0Y9l3ojMzW9mP7gZRoxKM2IkFSC6\nRCvzquLkZhkxCuucsI2xIv+H/lbEgzzy9yy7bPfzWOSFYomeY3VpqbxK2OwUm8eZyjOiOMPfFxPH\nxOPK+WylS2z72t8H7v5NYYnWK4IweWWmss0/B0xeyZ+XRNgWT7Ht6GVqs0CrsztJYcsMqOsHXgRc\n+wbg6F2N9zHYnoTNX+fMF6VL1DC2FRHEhE1W2Ngfu9vBgExZ6ZTjPXqUrzFLtEfP3aBzoKaDpYof\nf+mhkgIZISd1Mn7ts4+i7AX47EMrRlLGoPqtv39A1DFVvCAmZDIxm+Hkce9oDlXpfBaIsA2phI3m\nhRLBoTrW87w+7rJxMWvR2UBZfHwgo5AsQA3qlS3R4RxXvLTTkScxjBeSrdy9d7wZl9/OOy/JEi3P\nsJgPAhG28pxKYGSFKjPE/m/2KeCTbwG++v8x0nTmfuDQHaJJQY7pmH0KGDvAiBnZmtOPscgQxxVN\nDVRjNn6Un09eVepKXGGbuprZmbbLSKScCVcvA5d4rlqssKlxLgAYUZRrz1q1RJspbG/6R+D1H27t\nGH2ItrpEuxXrV9jY/WzLjKZaDX4SYfM6b4km/RqiXh5NBWOJGoimAyJIgGozEg6953P4oefvxQd/\nSDTj/8sTTCG5bLyg7Du9XIUfRIqaBCDuiJQnD5C6lk87CjGbWeZZa6M5nJorS8dg+5PCRsRsmWew\nUfE+1bBdWKpgYiAtyNEWQK49k5W+t99xGCP5lGLXAiKnDQBGC8nnrTwfN8OaDcpzbIZovM6tzNBf\ngbANquSmPMs6P+slYO/NbC2VY7EhYcCUrvIssPcm4NR9jFBFEXD2ftYhSvvXKywQN5UXx9etVVLY\niGTaLjvXmtQA4ZWk+rjj4jgy9t/GGid8T6y1aonGNWyDK+9noGB7KmzBOgkb37qOveUZSd2OIMkS\nbdHSWQvk3wLV4LDg3N5kPcYSNQCEJTpbFBe7qqawUeH+J74tMrQuLlUxzUmV3q15129/Bbd94EvK\nmh+EcbNAWTo+1a/tHsmplig/n31jefhhFH8hI9K3S7NEiQSOcUXKkxS2XcO5eA7nVuC114lIElkl\ny6UdvPn2g3jNtbuV/W86IMjGaD45tFUhbE6GRV1EQaPCFtTYukzYUhphk/8vPSCy1fbeyLZx7lmV\njX0CgH23CEs0JnHS/n6Fjaoa3Cm+GdJILIJO2JwUy2Ejwubm2PGp1m1gUqzLOPpyvp4Gdl4jnlcr\noOdO3aIGLWF7ErY2a9gyfAadQXMQKZZfJ7og1DtIdmWlUx7+3qN8DbaxRA0AuHz4+wyfHrB7ONvw\nhefMfKXhfg+eZvMfsym7gbBRndmJGTHUe75cjz/XZMt1jhO2XcNZ1IMo/gJ2Zr4M17awd5RdnOkx\nKNJDWKI8voM3F4xrNWwXFqvYOZztaHnEWvG8/aPYNZzFVbuHVt8ZqgqXanLeQ7rCRnEZusJGUBQ2\nifBQDRvBdliWW26UFfIDoiuzNMPq3DLDTO0iwnbmfvb/e24U+wcei/+QYzFSObXpoDTDBrOnuUJr\np7jCxi3RwZ1MYSvPsa5NIlUy4bzuR4Gb3yZ+vvWd4jVpBUO7gO/7EGuuMGgZ25KwBeuuYWMfWmnX\nRj1orB0xEKDXWA7LlAuROwX5VxBK3aK9rbAZ9Dto+PtskWrG8g2EjSzJCSkr7KGzi3BsCzfsH22q\naH9JmlBADQ1px1b2J9Vt97BKzB46u4hjU4MYzDJiQveJiSW3W2t8fTlW2FRLlClsmoW2BfiXX7wT\nn3rnbS3v/6KjEyvauKolKj2/wri4nZKImUzYxg+L27rCVlsGipdYwn+sjPHjf/nXgWfuZUG2ts3G\nQXllZqHaKdEUIA9PH5TmcOoTE0qX1PN1XK6waYStMq9OKSDC6WSA7/9DVU277o3Aj30SuOHH0TKu\nf2PrNW8GALYpYWs3OJe6hTyjsjUFvcbyRYC+wa/Xkk5CqDQdsG0URehwNu+mwYJlgnMN2PD3MMJM\n0YNlAbtHsg1NB4KwCdXisfPLODRRwGg+rewfRVEcrfHdUyLbiyzXvWO5ZIVthF3kK/UAURThobOL\nuHbvcGxl1riSdnqujJF8Ks4tIxuVFDa5S7Ts+Vis1ON6t61ExnXWFCfysTffjO++r3mHokrY5GJ7\nSVUUXaIAACAASURBVGFLS7WFMimbuko6sSH1/6pLzILMJxC/8w8AO64AXvJf+DpvIqjwpgaaLED7\nL51VFTZ9JmnxotrVqitsA1NMkavMqSogKWwHbkcDLAs48vLWFTaDdaFHL3sro90aNqp3qHeQeGw3\nkIWiZjix2xtGdKUuUaOwGfQyHMkSHc2nUci4DRbnaU7Y5LiJZy4VcXRqANmUo3R3LlX8+EtUSWou\nmJEVPImwzRY92JawAav1AGfmK1go13H1nmFkU+wx6QvZ6fkK9o3m43V6bLJtSU3z/DDuEO0GhW2t\nsG0rHruXhOYKm0TYpqRJikoNm2aJyupSbYnHgyRYqzNPsfy1+Dh51pxACljS+TQobBJhWzjF8uEI\ncdMBKWy7mLVamlHPPzcK/PhngB/6GAy2BtuSsLXbMBATtoSuLQOGRIWtvjkKWxj17ngnyzA2AzBL\nNAwZoRovpJFLOU0tUfoiVPMDnJwt4ciOAeTSag3bpaLoNi1rxAwA9o3mlOOfX6xiaigrgnDrIb53\nZhEAcM0eobARyTszV8a+sRyyLu3P1u997CKu3DWkdI+ejUlcQgxEj4MIKwBVTZKVsZ3XitvNuiYz\ng6JTEpAUtgSlLgpUwkaWaGVBPYZMCBtq2DhhCwNg4TSL4yDElihvOiCyt3i60bI8dAfrDDXYEmxL\nwtZu04FQ2AxhawahsIVxrV9sia6zhjAJapixrLB17CE2FRZ6t/7OoHNwbCCIIpxbqGLXSA65NCNs\ncyUPf/SVZxBFUTzLkwjYiZkSwgg4PDnQQPCoFi7t2gphOzVXRsqxMDWUhR9GUhdnBbuGs3FwbLUe\n4P6Tc8imbFy5eygmbNV6gDCMcCZW2ATBmynW8O1T87jryimljOT0PCOa+8ZEBluvg2aUKl8UKeE/\nO6KSN3n4uT5b8y1fBG55O1PDChPA8VezaIvyDBvCLitsOy4XtxsUtgobyt5MwZMVNjk4d/k8y1wb\nlQibnWJD3r/0fpapRk0Gi2daD8I12BSYHDYJcdOBY2rYVoNMymp+iKx0AfE2vIatd0mPZZkcNgMW\nnBuEjJQxC9JBFAEf/+YpfPCeJ3Dn8cl4rmWZ5xs+Pc3mQR6ZHMAz08W47syyLMzymrT9Y3mU+P6l\nmo+/++5ZvOzyqVhJq9QDpF0bFxaruEIjZt96bg7P2zeKlGPHIbKVeoB/+N45eEGIvWOyJRrgMw+c\nQxQBd1+9E2mH7e/5IU7PVZByrLij9Ku/9JIVbcZewBd//g5cWq6piza/fNJwdxl3vgf41kcaa7r2\n3cT+AawD840fBz71NuDRT7M1WakbkmJHhveJ27EluqCSOrkLdXC3tj9X2OZPsq2isEk2b+CxDlKA\n58iZpoBuwjZV2NbZJdqgsJkatmaQSTEpa5WN6BKVb2+XWaJbfRIGWw4iMLMlD3tHRV4ZxXY8N1OK\ns89IMXvyYhG2BRyaGEA2zQgeBdiSwrZ/LI8ynz7w2YfOY7FSx0+9+FAcIlvlJO/cYgW7hoTCNlP0\n8Oi5Jdx0gCkqdD6PX1jGf/rrBwAwW5UK+Kt+gL/65ilct28EV+waij8zPZ8pbHtGcvFkg31jeWXS\nQC9iaiiLq/domWEXH2bb469uvMOd7wJ+sbXRYcgMCQVMVtgsS6h4uiUahSwDTrFEpRq2HcfVdSJs\nC5ywUXQIIIinfHyCUdi6CtuSsK1fYWNI8w8lY4k2h/wal2lY9AZ0iUbSryCSmg56tYaN5bD15rkb\ndA6O9B7Ywy1RAHjwDCNsVE+2ZySHmh8iCCM8cnYRh3cMIJd2GmrJqNt0z0guVuQeOL2AoayLG/aP\nIJdmH/VlL8BCuY5qPcSukVysmD10dgFhBFyzlxEAOp8Tl1im2+EdBdx8cCy2Pp+ZLuHp6SJe/7w9\nANQyElbvtn3s0Ka47eeAwy8Frnxde8eRa8LkGjYA2MUnXAyJEGCk+GvrV1TLldZvfacq46fyzAYN\nfK6wWSoBlAnbjW9Ru1zzhrB1E7YlYVt3l2hElih7s3um6aApfEVhYxcIUtjqnaxhkzQ2EZzbuyqV\n6TkwAKBYhHskhe3iElPKiLgdnGAXz0o9wENnF3ENV3lyksUZRRHue3YWu4dzGMq5KHts7eGzi7h6\nzzAsy0IuxS7KFS/AuUWmtuyWathOzbE1sjGJyJ1ZYPVoH/qx5yOfdmHbFtKujTO8To0CdmWF7dRc\nGXtH+4Cw7bsJ+I9/pypS64Gc9l/QCNuP/Dlw9weA0YNiLSU9nqyw7X4e8ObPA6/4NfUY8cQEPgWh\nMKHV3HFLdN+twGt+W1iigFHYugzbk7CZpoMNh6ywlWoBan4QJ6138nWTf5VhXMTWuzVsgJl0YKAO\nQt8zkouJE+GB0yphOzlbwvRyDVcRYZOK/7/+7Cy+cWIOP/Wig8inXfhhhJIX4PHzywkEz8f5BWa/\n7RzOxsehCJHJoYxy/NOcyI1LWXBZ145JH+WvUd3vfNnDfLmOfWO9bYFuKjIrKGyDO1lgrq6YEWRC\nZVnAZbehIaSSmhHqVRaIq4+Psjlho3WZgA5MwaB7sC0J23onHRDow8fUsDWHrxA2H2fnK4giNnKn\no5ZoYqxHDwfnWoDR2AxkS3RyMBMTKoB9/izzQNoDnLDd/xwLw72aj1nKSrEb9z42jWzKxhtv2R83\nFzx4egFeEMYEL2468EJ87uHzyKZsHJ4cQIYraafnyrAsMWKKjn9mvgzHtjAi5Y9lUw7OcdI3zmeI\nprgroeeyGbQAskTHDjcqbElQasxGmu9HiAlbGagVVcsTYGOxACAzwPeXjr/v1tWPb7Bp6NHL3sow\nCtvGI5BIWckLcJp/UB+cKHSU6Mq/SjXWozdJj22hZxsmDDoHskQP7yjAdWxlSPrzL2OqSdq1sZsT\nn8cvsFDTgzvYxVa2RB88vYCrdw8j4zoo8OaCJ/j+hzjho+M/O1PEpx84hx+9+TIMZVMxMZsteRgv\npOPZnxnXhmWxv7+xQlqxcLMpJ1bYx/jYLMtiVulZHkUiT2cwWAVHXg684v3AT3+ltRbyZpZoM8hD\n5L0iGzQvw9EUNupUvemtakSJwZZjWxK2doNzqRPKxHo0hx9GcZ1L2fNjS4URtg2qYdsOwbnGEjUA\nMM9jOO44NglAEKo9I7lYVds3KpoRnr1URMqxMFFQLcvlah0PnV3EdfvUZoGTs6xZYMdgRln/ypMz\nCMIIP/B81iyQlcY2ySTLsqz4/0h1I4zm2QU+7dooSMpgxrHj7DhD2NaA7DBw288KhWs17LxG3F6T\nwlZJJmxkiaYHxTF/4Sng1b/V2vkYbBq2JWFb/2gqMfwdMJMOVkIQhhjiA6JLtQCn51lA557R3IYN\nfyd7NOrlWA+LkTaD/gZ1d77iKlYjRF2cx3cO4pVXTeFFRyfwOz9yfRzH8exMCVND2VjpEjEgi6j5\nYUzYChlO2LjFSTVmtP93T83DtS0cnWQX55RjxfV0k0OqjUkkj0gfgerqxgtp5YtT2rXjsVT6fQw6\niMIE8AN/AkxepeazNYNC2EqNlqjFaYBc2zYwaQIjuxDbUu9cd6yHyWFrGX4YYTiXwvRyDaWajzNz\nFewZySHt2qi3qXDKkAmbPJqqVy1RE5xrAAA/9/KjuOXQOG49xOwnsiaPTQ3izuOTuPM4U94ePsvi\nPS4t1+KMNLY/+4z6xolZAMD1PI6DCN6p2TJG82mkuMVJNWyzJQ+X7xyMP+OYkmaj5AXYoalihYyD\nuVKjwnZwYkA5JoGOaVvAaF69j0GHcc0Psn+tgAJ1fU7YdCUv4IHArSp8BluG7amwtZvDFk86CJrv\n3OcIwgiDWXZxKHk+Ts6VsG8sj7Rjd1RhkycdbIvRVJbR1wyAoWwKd10pOvB2DGZw42WjyhoApRlh\npzSbkwjefc/OYjSfirsyqYbt5FxZIWByF+oVu9RZkNQBqgw2B/D91zPbdIF3fxMO8Tq6paqvrBNh\nGytklC5Ygy0GBerWK7zpQCNmdR7aq3ePGnQdtiVhW2+XaJzDFluiRmFrBj+MkHZtZFM25ksenriw\njCt3D8G1bYRR+3WEBPko22L4O3r33A02DhnXwd++47a44YAgq1hy5yURuTACrts3Er+naD0II0wM\nCpWLAm8B4Ipd6oX5d37kOozmU7j5oPrYP33HYVy5awhvvHm/sk6W6KJG5OiLrrFDuwyuXsOmWaI0\nZSGlrRt0HbalJbpeK5PuJQ8yNkhGEEZIp1hX2jefm0c9iHDD/tF43mE9COHYzipHWR1h2Nh00Ns1\nbD164gZbAqoTBUSoLQClq/S6vaLwnGrYACgKm2VZGMi4qAchfuRGlYA9/7IxfOd9dzW8NwsZF5/7\nTy9qOCdS2Iay6uWDVLyJAWOHdhVc/vuoLQNR0KiwxYTNZOd1O7YlYetcDZshbM3ghxEc20Ih4+Kx\n80sAgOftG4m709ZrS68EeTRVr9aw2VZjrqWBQTMUMi5+4gWX4WNfP4ndI4Kw5dMOXnhkAk9NL+Nl\nV0xK6+IjXe/U/NIv3IGRXDr+fJOxli8S+bSLX//+a5SaOgB47XW78NDZxbjxwKBL4HDCVplj2wZL\nlM8ZTZnsvG7HtiRs6ycL7H4pxxC21RCEIRzbii2bPSM5TA5lxWvnh0AHnBGlhm0bNB24to2UYWwG\na8Avv/YqvOKqnbj54Fi8ZlkW/uKttzTsK1uoujU5Odi5C/KP3rK/Ye1Ntx3EPY9cxBtuaqFz0WDz\nQAPky5yw6c0FpLC5hrB1O7YlYVt/DRvbmkkHq8MPhMIGAMem2IcABW92ap6o2iUqD3/vyOE3He+4\n8xAuLXtbfRoGPQTbtnD7kRYS8MG+bF63bwQPnl7AsanNLSJPuzY++Y7bNvUxDVoAWaIVNi2joYaN\nFDbXWKLdjm1J2NrtEk1Jg4wNkhGEEVxJYaNW/xQvLuvUeKowYTRV1MMK25HJQRyZXH0/A4P14tM/\nczsqXqB0mBr0McgSLTexRF/6PuCTbwF2HN/c8zJYM7YlYWu3Q9G2WKCksUSbI+A1bDTzkAqRO20n\nR8rt3o/1MDDYDBiyZhBjtRq2oy8H3n1yc8/JYF3YdsU0FtqfJWrBQtqxDWFbAUHEFLbpJVb/QDML\nXT4EulN2cpRYw9a7TQcGBgYGmwrbASxHUthMfEevYvsRNstaf5coV3Asi9mipoatOVgNm40LnLAd\n1BQ2fwNq2OIu0dDEYxgYGBi0DDcjFDYz0aBnse0IG9DGLNFYYWPEw+SwNQfVsFGo5hTvQHM7XsPW\neLuXc9gMDAwMNh1OunkNm0HPYNsRNstav7oTEzaLdYqa4e/N4YcRHMfCr77uajz+q3fHQ6lTHQ4d\njqQqNrrVy7EeBgYGBpsOJ434EzSV39JTMVg/tl3TQVs1bDElsEzTwSoIwhCubcG2LWSliQaUMdYx\nhU36FWyHWA8DAwODTYcrZfKZvLWexfZT2GAhaNcStYwluhpo0oEOajro1AB4WWGjmxFMDZuBgYFB\ny6BOUTdrRq30MLbfb87qzFiklGPDM8Pfm4Jq2HRQ00HHLNGE4FxTw2ZgYGCwBsiEzaBnse0Im4X2\nJx1YoC5Ro7A1A1PYGt8+nZ4SoXaJsq2pYTMwMDBYA2jagalf62lsP8LWhsImYj0spE0N24poprCl\nOzwlQp10YIJzDQwMDNYMmidqBrz3NLYdYQPan3RAsR6GsCUjiqJ40oGOmLAFQWceS7pNv9YwjEwN\nm4GBgUGriC1RMy+0l7HtCJtlrV8Za2g6MLEeiSBCnFzDxicddKj+T1bYiL718ixRAwMDg01HbIka\nwtbL2HaEzbaA2jqJVhzqYQG5lLPu42x3kOXsOM0VttqGNB3Q1liiBgYGBi3DMYRtO2DbETYLFqr1\n9dlxNPrIgoV8xkHJ8zt5atsGpLA5CSpXxmGZbJ1SJ9VZolTDhjio18DAwMBgFRjCti2w7QibbQHV\nensKGyygkHZRrnWmDmu7IVbYkixRl4a/dyqHTUBW2IwjamBgYNAiKDjXxHr0NLYfYbPbUdjY1gKM\nwrYCVqpho1iP9Spsn/rOGfzJv56Ifw6lBhK6ZWrYDAwMDNYAo7BtC2w7wmYBqPrrVcb+//buPE7u\nus7z+OvTVd3VR/WRdA5yH5AEwhU0XEYjiKjjqoDHDuiOOKuj7uKB4mOd8TGXu86u63jMeC+M17gM\nDAojyDIgAsopkIScJOQkCUkn6fvuqq6u7/7xO+pXfYROp+murn4/H4880v2rX/3qW79Ufv3uz/f4\n5Zb1qCqL09efHbcV+4tJcK/WWGzoxyceK6HE8gObc47bHt/PoeaeVz325+/awv+4/8XccyOPOS3r\nISJy6hTYikLRBbYSM1Jj7RKNVtjKvLFYPWOs1k0E5xzH2vsm/HWDdYmHq7DB0CVRmrvT/N0DO/nl\npleG7Pvg9gaOd4z8HrJ5Y9hy21RhExEZpbBLVIFtKiu6wGbG2LtEI19XJeIABT2O7eEXj3PZ/3qE\nJ/c0TejrpvwKZukwFTbwZopGZ9g2daUAOD4oXPb1D/DJ/7uJ9//waQB607lzHa6lN8ytqbJO9xIV\nERm1WKn3txbOndKKLrCVmNE31mU9IuuwBRW2QhjH5pyjZ5h2HGjqBuCXGw+P+lhBeDodHb1eW2or\nSod9PBEvybuXaFNnGoCGQZW0xk6vLYdbegF4pTXXZdrR2w/kJhqA9+8TdIuqS1REZJTM+3mmW1NN\nbUUX2MwfP5U9jbsdGN4YNiiMCtsjO0+w+q8fYsvhtrztwWzNjYda87Z39PXz5V/voCuVH/I2HWpl\n7Vd+ywPbGk6rPe1+mBopsJXGSugfpsJ2rL03b7/m7nT4tXOOw5HA1trjPRbcLixWYmSdCwOcukRF\nREbJ+dfj2PDXbJkaii6wBT/Ix7LobbgOm3mzRKEwKmzbj7YD8OOnDuRtb+7yQs3hlt4wRAHc8ewh\nfvLUy/zoifz9DzZ7Fbm7Nw4dSzactp40b/raozyxpzFve/BaNRXxYZ9XNqjCFlTSBo+3a+rMVfsO\nt/TmTUoIAlsQ0GJmOJfrFlWFTURklILAFlTaZEoqusAWFF5SY5gpGt7pAHIVtgIIbMECtY/uOpFX\nOWzuzgWe7kg1LRhbdqglf1ZmcLuoA35wC7cPZPneY3vp6OvP277rWCeHW3r56M825G1/tQpb2aDb\negUVto6+TF47o92zLza0c6QtV4Fr7fZeI+wCLfGqbVmXm8krIiKjkPV/HlrR/cifVoruXy+osI1l\n8VwXSWxVfoWtqSvNf719I3c8dyhv1f3Tsed4J5+54wVeOtY5qv1be7zw0tmXyZu1GlTYID9YBoGq\nYVAXZItftTrU3JMX/J7a28TfP/QSf3Pvjrz9g+OnM9m8mZyj6hKNVtgiwexY5DjRLtGW7v5wbJz3\nnv0u0UiFLety36tLVERklJz/c6NEFbaprAgDm/f34JmiqczAqwauYLyUYVT6FbaHth/jgW3H+It7\ntnHPpiP8Zsex0w5uD+88zn1bjnLDbX8Y1f5tPblgM7hCFbzf7shYuyAgvXSsM6+trX5AymRdXjUr\nCGBP7s2fbXqiMxeuDka6Kzv6+imNGRWlw//nHzpLNB1WPqPdoo2dqXB7V6qfrnSGOdXe9PPBY9hK\nSgznHA+/eBxAdzoQERktdYkWhaILbEFXWXTx3K/++y5W/eWD/O19+RWkA03dfPLnG7nt8f3ehsgs\n0aBL9JFdJyiLl1AaM275xRY+/vON/OD3+0bVlmf3N/ORnzyXF7gA2vyKWWtPesjkiP6BbN54tGC/\nQHQiQXN3msUzvVk/0bF2wZix5u40LXlVrNzX0e7PIEQ1dqbyXvtE5/Bdru29/dRWlI7YLVkWH9Ql\n2pkK2xntBm3q8rabQVdfhq6+DGfUlhMvsbCqGKz5FisxBhx8+o4XAI1hExEZtaBLtKTofuRPK0X3\nr5ersOUCwzP7vMrRjqMdeft+6+HdPLjjGHdt8JbFiI5hqyjL/SZy9TlzuWLVnPD7u57PX0bjkZ3H\nueHWPwy5K8L9Wxv43UuNfPHurXnbg65G5/KD1omOPs7964e44u8fy6+M9eRCVBCcsllHa3eaRX4Q\nis5mjYaijr6h3YzecXL7N0SqXtGB/yc6IoFtUJdrTfnIs40S8cEL56ZYPqvKa08kEDZ3pZmdTJAs\ni9OZ8sa3JRNx6irLwpAbnIWYWd4kBUOJTURkVIIuUVXYprSiC2xB1Sfld4lms449J7oAhixzsb/J\n2x4s0ppbh80oi+dOzfqVs3j3hfMpLy3hTStmDTnOX/1qO8/sb+a5Ay1524PQ8vTe5rzt0eDUGQlU\nD+44RnogS2tPf16XYntvP7OSXldhELQ6+vrJZF0Y2AZX2Kr9hX+jlbGW7nRufbnI9uhYt2jl7URn\nX9hFGd2/o7efmhHGr4E3hi06S7S9tz+ssEUreE1dKeqTZSTL416FzQ9sM6tKw2pgOCu0xPK6cfc1\ndo34+iIiEjH/Iu/vWSsntx1yWoousIUVNj/wHGnrpcdfQT8ajpxzHGj0Zkt2+mHEMfzYtMuXz+Ld\nF8xj019dzep5NXnHAZhb660e/eCOY3nbg67JrnRm0OzO4bs4m7qGH6vW2pNmwYyKvO3H/erXkqDC\n5r9H5xyNnSmWzKoccvy2nn4WzRi6/Vh7H7P9YBatgDV2pljqV8a6IhW5Dr9LdCTRWaL9A1n6+rPU\nJxOUl5aEgS2VGeBgcw9L6qtIJuJ0p3OBra6yLKwqRicdRCUTwy8pIiIig7z+T+Gm52HpusluiZyG\nogts4Rg2v8K2+7g3E/P8BbV5IaWxM0V3eoBEvISuQQFs8NCsRTMrMPMmIiQTcVKZbN4YrWAM2OO7\n89crCwb/O5cLheAN/p9R6QWezr5oF2F0zJjX/oGso723n4VBYPMrac+/7FXzLlte7+/vbe9MZUhl\nsiyt94NW5L219KRZNDM/+IHXJbpqbrXfnkgXbWeKZf5xeoYZwzaS6Bi24PWry+PUVpSGgW1nQyfp\ngSxrFtWRLI/TGVTYyuPMqCzNdYm63MK5gds/dim3vG3ViK8vIiIRZjBb1bWprugCW8mgwLblFW/R\n2YsW19GVyoQBYL9/W6cLF9bR2z9AZiCbd/N3gLPPqOat58zJG1yfLM/vauxND4RjwKLLbECuwgb5\nlauW7jSL/SAUDUjRsWdBuOzo7cc5coHND3JP72tifm05586vAXIVtlf82zydNSfp7e8HvIw/mWHh\njKAL1ds/ncnS2JVixVxv/6BLtKG9l5ZuL+CVxUvoSo8+sHnLeri895dM5Ae2zf7dGdYsqiOZ8AJb\ndypDVSLOzKoyWoJ12PxjBmNla8rjrDtrVt4YQxERkWJXdIEtXDi3P8sLh1r552deZv3K2cyvq2Ag\n68LJCPv97tDzF9YCXkByg47x4M3r+acbL847ftAVFwSqgy3ecc6ak6QzlQknHmSzjqau3GD7ILik\nMgN0pTJhV2Y0sEUDXxC0gvFuC+tylbHMQJan9zWz7qxZxGMlJOIl4f7bj3gB9dJl9XntbOlJ4xy5\nMW/+9mf2N+McXLpsJma5YPmdR/dSGjOuWbPA67JM5YJfR1+GusqTV9iCMXhBAKwuL6WuoiwMbC8c\nbmNOdYJ5teUkE3FautP0D7i8SQfO5RbKjfuJLQicIiIi00nRBbagwvb0viau+/7TtPX089/evioM\nWp2pYM2xRmYly1jpV5Y6+zKRmZkjz0CsLs8PbC/7lbo1i+qA3KzM9t5++gccy2f7syP94BKs4L+0\nfuhYsubuNAvq8rssg+pdUJHrSmV4Yk8TbT39XHXOXACqIoFq65E2kok45y6oyTvO7mPeIP2zz6j2\nAp6//f4tR0km4lyxag7ViTgdfRkONfdw1/OHuf7ixSyaWUlVIhZW9hra+xjIurCdw0nES0j7y6oE\n76+mPE5NRSntvV4l7ZGdJ3jjilmYGclEPFxQN5nwukQzWedXRL1jBj2iS+oV2EREZPopwsDm/f17\nfzzZA595E+ctqM0FLb/r7dFdJ3jn+fPC5SmGq7ANJ5nI7Q/eUiGxEmPtkhmAt8hte28/N/3LJgCW\nz84FQsithZbrEo3MmuxMsXRWUAHzAs/Gg62YeYGwojRGdyrDvz5/mPqqMt5ytrfUSGVZLFzWY9uR\nDs5bUEOyLAiW3vbgfqTnzq8hmYiH7X901wnees4cyktj1FSU0tHbz/d/t5dYifGpt5wFeGvSBQEv\nuEF7MOtzOKUxG9IlWl1eSq1//F9tPkJXKsOHLl3indPyeDjmzQtsZQDsPt4VVtiCJUbWLp054uuK\niIgUq6KbaheMN2vt6Wf57CpW+2O8wgpbX4an9h2hrz/Luy6YH95ztCuVyS2ce5LjB7esCgbTb32l\nnZVzq8OZom29/dz2xH6e3uct5TF4/bFgnNrCGRXhgrHgjbnrTGVYPLOKp2gOA9KGg62snFNNbUWp\nV0lLZ3hqXxPvumB+uPRIVZm3PZ3JsrOhgxsvX0JJiVFZFguPs+NoBwvqKqirLAsrcu29/TR3pzln\nnneOaspL6ejLcLStlzecWc/cmnL/PcfDLtdgjNyikwS24Obvh1t6eNK/cXwyMung6b3NLJxRwesW\ne1XJ6siMz6pEnLifut/3g6c5f4HXZR1M2rh0mQKbiIhMP8UX2CJfv37xjPDrILAd7+jjHx7ezSVL\nZ3Lx0hlsPtwGeMGp15+ocLL7VAaVuk5/AsPWV9p42+ozqPMH4R9q7uHO5w9z2fKZdKUyYUUoqKQF\n9w89a04yXDAWcpW3JZGu0oGs44WDrbxnzXz/PcQ40tZHZ1+GM/2uVoDKRIye9ADbjrSRzmR5/RLv\nNaNdpTuOtofhtbIsRldqIFwkd4lf7aupiNPR109jV4oL/LF9wXGCsWeHWnqIlRjz/IA6nLJYjIGs\n401feyzvvNVWlNKVyrD7eCcr51aH4TqYyBHsV16aK/xu88fkBYJwKSIiMp0UXWADmFdbTkN70PYY\nPgAAEgJJREFUH+tXzg63BaHg8T2NNHen+cZ/PBMzywtg920+wsyqMladUT3iscMu0b4MB5t7aO3p\n5/yFtdT53XgbD7biHPzZm5Zz1Tlzw8Vzg7Ft2460M7+2nFnJBNX+chaQq7wtiUwKONjcTWcqw4X+\n+LjKsji7Gry7NUQrXEGX5bP+wr0XL53ht9Xr+tzZ0MH+xm5uuHhxuL0nnQknTAQhsaa8lJebu2nu\nSoUL5nr7x2jwF6093NrD/Lpy4rGRe9NL40MDrxfYvHO950QXb47+2yRyExiqEnFqIgEuXmJkso7v\n3HARlWWxvOU9REREpouiDGwPfnY96YFsuBgsEI5V23TQq6id53e1BWHhpWMd/HbnCT5z1QrKR7ip\nOeSCX1eqn689tIuyWAnrV8wOg9/Gg95yFWf6Y9dKYyVUlMbCLtHtR9pzr+2v8A9wtC3X1VgWK6E7\nPcDu495EgWCNtGQizot+YIuOIassi9HUleL5Ay2cNSdJvX9XBG+yQIafPHWAitIYH1i70N8ep60n\nHd7QPThWTUUpB5q6yTqYXVMeOX5kDFtLT7j47kjKhglziXiM2sjM0mBsX/ScBu8xGMMG3o3qwVt+\nZbEmHIiIyDRVdJMOAGorS/PCGuS6RF9s6KC+qiy81VMQtH69pQGAa/zux5FUlsYw84LZA9uOcdOV\nZ7G4vjK8VdOLDR2UxUryKmA1FV4lrb23n/1N3eG4rOry0nDWahie6ivDoLXHX/Q3WCMtGD8H+RW2\nZCLOK629PLWvmTeeNSvc7lXeBnh8dxNXr54bVgGDytuh5h5mJRNU+eemprw0nCyQX2Hz9u9OZdh+\ntIOzzzh5t2QiPvzHavW8XDfr8kiXbl1kTbdkIj7sba9ONhFERESk2BVlYBtOVWRgexCAwKtOmXlj\nsxbUVYSTBEZSUmIky+I8tOM4JQYfuszrZoyV5LpXl82qyuu6qy4vpaOvn1sf3wfAm1d53YHJRJyd\nDZ08vbeJl5t7mFlVRk15aTj27KXjnSyaWUGlP+Oz0n8PdZWlebdmqqssoyvlTTr44KWLw+3JRJzj\nnX0c6+jL6+YNluk40Nydt0xGTUXumNHAVpWI0Z0e4Ik9jaQzWa5ePfek5yhYxDeYxRpYdUZ1uOBu\nNLCtO2sWX37Pudx4+RLmVCeIlRjfueGicOYtKLCJiMj0VpRdosOJ3sx95dxceDGzcK2v9Stn593V\nYCSxmLfPurNmhZU6gIrSmDchYE5+6Kspj9PcnebRXSd4z4XzuWChNybtw5cv4Qu/2MIPfr+PrHNh\n12RQ0TrY3MPKObm2nr+glv+3tSHs3g184s3L2XWsg/pkIu+9VSXiYeXuzEgXZFUiTmtPmrbeNNdf\nnAt4wd0RAOZEukSrEnEGso77tzZQV1kajpEbSXAKP3jJYh7ddSLvsd98bj1P7W1iTnXu+LES48Y3\nLM3b790Xzmf70XY2+F3MQWgVERGZjqbVT8Hls6vY39jNm1bMzttenfBma358/fJRHafNvzH5J998\nZt72E/6tqN570cK87fXJBE/uaSKVyeYNtr/qnLm8ccVsNh9uJZvNTRaoLIvR1tvP/qYuroxUqT6x\nfjlL66uGdPfOrSnnX/7ssiHtjFYVo2GsrqIsvBPB5WfWh9ujkzRmJXPjyIJw9dudx7nq7LknnXAA\ncOMblnLe/FreEOmejbb1va9bOMyzhgped25NgplVZa+yt4iISPGaVoHt3pvWUWKWF2QAfvWpddRW\nlOZVy07mb9+9mtJ4CesGBZJ/+OM1pDNZ3jqoy/DM2UkefvE4AEsHdbkuq6/k11uOAvC++tykgBcO\ntdE/4MI7MYBXDXzHeWeMqo0AsyOhK9r1ed1FC/jWb3cDcNmyXGCLVu4S8dx4uSDU9fVnuXT5q6+D\nlojHwrD26C1vHvPMzqQ/Zm+1lvIQEZFpbloFtury4e9/Ge0uHI2PrFs27PZrL1ow7PZodWvZoMAW\nrIEGsMLfr7o8dyeCaBfnqfrTdcv49qN7qS6PUxqpii2ur+QzV61gf2NX3sxN8Losg/XZAsHYvv1N\n3VxyigvXLj/Fcxu1yp/c8OHLl475GCIiIsVgWgW2yRINYjMGBaTgVlRAOMNzzaI6Hth2DMgPe6dq\nRlUZz33pqvCG91Gfv3rlsM9ZObd62JB49eq53Lv5aN6YutfamkV1bP/y2/MmWIiIiExH02aW6GQ6\n0w9dy2ZVDZnUsDRSYZvhj9P6DxfklhY52ZpwozGnpnxc1i+75W2reOhz6ymZ4IVrFdZERERUYZsQ\nyUScpfWVw1auZlaVsWhmRd5szQV1FayeV5O3/MhkK4uX5M20FRERkYljLljTokisXbvWbdiwYbKb\nMcSRtl6SZfEhY8ZG4pwb1RIjIiIiMnWZ2Ubn3NpX22/MJRMzW2Rmj5nZTjPbYWaf9bf/rZkdMbPN\n/p93Rp7zF2a218xeMrO3R7a/w9+218z+PLJ9mZk9a2Z7zOxfzWzKru2woK5i1GENUFgTERGR0On0\ncWWAW5xz5wCXATeZ2Wr/sW8559b4fx4A8B+7HjgXeAfwfTOLmVkM+B7wR8Bq4IbIcf63f6wVQCvw\n0dNor4iIiMiUNObA5pxrcM5t8r/uBHYCw69r4bkGuNM5l3LOHQD2Apf4f/Y65/Y759LAncA15pWY\n3gL80n/+z4Brx9peERERkalqXEaRm9lS4CLgWX/Tp8xsq5n92MyC+xgtAA5HnvaKv22k7fVAm3Mu\nM2j7cK//cTPbYGYbGhsbx+EdiYiIiBSO0w5sZpYE7gZuds51AD8AzgTWAA3AN4Jdh3m6G8P2oRud\nu9U5t9Y5t3b27NnD7SIiIiIyZZ3Wsh5mVooX1m53zt0D4Jw7Hnn8NuB+/9tXgEWRpy8EjvpfD7e9\nCagzs7hfZYvuLyIiIjJtnM4sUQN+BOx0zn0zsn1eZLfrgO3+1/cB15tZwsyWASuA54DngRX+jNAy\nvIkJ9zlvvZHHgPf7z78RuHes7RURERGZqk6nwrYO+BNgm5lt9rd9CW+W5xq87suXgU8AOOd2mNld\nwIt4M0xvcs4NAJjZp4CHgBjwY+fcDv94XwTuNLOvAC/gBUQRERGRaUUL54qIiIhMktd84VwRERER\nmRgKbCIiIiIFToFNREREpMApsImIiIgUOAU2ERERkQKnwCYiIiJS4BTYRERERAqcApuIiIhIgVNg\nExERESlwCmwiIiIiBU6BTURERKTAKbCJiIiIFDgFNhEREZECp8AmIiIiUuAU2EREREQKnAKbiIiI\nSIFTYBMREREpcApsIiIiIgVOgU1ERESkwJlzbrLbMK7MrBN4aYxPrwXax7E5k/06i4FDE/A6UHzn\nDibu/E3Eeyq2z9xEfg6K7dxB8f1/1bkbu2I6d1P158Mq51z1q+7lnCuqP8CG03jurRPUxol6ncYJ\nPO9Fde4m8vxNxHsqts/cBH8OiurcTfB70rkr/NcpmnM3VX8+jDa3qEs036+L7HXaJuh1oPjOHUzc\n+ZuI91Rsn7mJ/BwU27mD4vv/qnM3dsV07orx50OoGLtENzjn1k52OwqBzsXp0fk7dTpnY6dzN3Y6\nd2Onczc243neRnusYqyw3TrZDSggOhenR+fv1OmcjZ3O3djp3I2dzt3YjOd5G9Wxiq7CJiIiIlJs\nirHCJiIiIlJUFNhERERECpwC2xRnZgvN7F4z22Nm+8zsH82s7CT732xmlRPZxkJnZl2T3Yapxsyu\nMzNnZmdPdlumolf7zJnZ78xMA8EjdK07PbrOjU0hXesU2KYwMzPgHuBXzrkVwEogCfzdSZ52M6CL\nmJyuG4AngetP5UlmFnttmiPFTNc6mUQFc61TYJva3gL0Oed+AuCcGwA+B/xnM6sys6+b2TYz22pm\nnzazzwDzgcfM7LFJbHfBMbOkmT1iZpv8c3aNv32pme00s9vMbIeZ/cbMKia7vZPJzJLAOuCj+Bcx\nM7vCzB43s38zsxfN7IdmVuI/1mVm/93MngUun7yWFxb/nN0f+f67ZvaRSWxSIdO1bhzoOndqCu1a\np8A2tZ0LbIxucM514N0u42PAMuAi59wFwO3OuW8DR4ErnXNXTnRjC1wfcJ1z7nXAlcA3/N/qAVYA\n33POnYu3WOL7JqmNheJa4EHn3G6gxcxe52+/BLgFOB84E3ivv70K2O6cu9Q59+SEt1aKga5140PX\nuVNTUNc6BbapzYDh1mUxYD3wQ+dcBsA51zKRDZuCDPifZrYV+C2wAJjrP3bAObfZ/3ojsHTim1dQ\nbgDu9L++0/8e4Dnn3H6/+nEH8EZ/+wBw98Q2UYqMrnXjQ9e5U1NQ17r4a3VgmRA7GPRbkJnVAIuA\n/Qx/gZPhfQiYDbzeOddvZi8D5f5jqch+A8C07Sows3q87qnzzMwBMbzP2QMM/bwF3/f5FzbJlyH/\nl+bykXYUXevGia5zo1SI1zpV2Ka2R4BKM/swhIMcvwH8FPgN8Ekzi/uPzfSf0wlUT3xTC14tcMK/\niF0JLJnsBhWo9wP/7Jxb4pxb6pxbBBzA+w3zEjNb5o/n+GO8gboysoPAajNLmFktcNVkN6iA6Vo3\nPnSdG72Cu9YpsE1hzrtNxXXAB8xsD7Abb4zCl4B/whvfsdXMtgAf9J92K/DvGojr8S/yKeB2YK2Z\nbcD7LXTXpDascN0A/NugbXfjfb6eAb4KbMe7sA3eT8h95pxzh4G7gK14n78XJrVhBUzXutOj69yY\nFNy1TremkmnNzC4EbnPOXTLZbZnKzOwK4AvOuXdNdlsKnT5zMtH0mRs/k3mtU4VNpi0z+yTegNG/\nnOy2yPSgz5xMNH3miocqbCIiIiIFThU2ERERkQKnwCbThpktMrPH/BW9d5jZZ/3tM83sYfPuUfiw\nmc3wt59tZs+YWcrMvhA5zioz2xz502FmN0/W+xIRiRqva53/2Of8Y2w3szvMTMvPTBJ1icq0YWbz\ngHnOuU1mVo23OOS1wEeAFufcV83sz4EZzrkvmtkcvGnv1wKtzrmvD3PMGHAEuNQ5d3Ci3ouIyEjG\n61pnZgvwlqxY7ZzrNbO7gAeccz+d+HclqrDJtOGca3DObfK/7gR24q30fQ3wM3+3n+FdtHDOnXDO\nPQ/0n+SwVwH7FNZEpFCM87UuDlT4S4NU4t3ySyaBAptMS2a2FLgIeBaY65xrAO9CB8w5hUNdjzcD\nS0Sk4JzOtc45dwT4Ot46dw1Au3PuN69le2VkCmwy7ZhZEm8BxJv9G0iP9ThlwHuAX4xX20RExsvp\nXuv8MW7XAMuA+UCVmf2n8W2ljJYCm0wrZlaKdwG73Tl3j7/5uD/mIxj7cWKUh/sjYJNz7vj4t1RE\nZOzG6Vr3Vrybwjc65/qBe4A3vFZtlpNTYJNpw8wM+BGw0zn3zchD9wE3+l/fCNw7ykPegLpDRaTA\njOO17hBwmZlV+se8Cm88nEwCzRKVacPM3gg8AWwDsv7mL+GN7bgLWIx3gfqAc67FzM4ANgA1/v5d\neLOlOsysEjgMLHfOtU/sOxERGdk4X+u+jHeD8wze/W4/5pxLTeT7EY8Cm4iIiEiBU5eoiIiISIFT\nYBMREREpcApsIiIiIgVOgU1ERESkwCmwiYiIiBQ4BTYRmbbMbMDMNpvZDjPbYmafN7OTXhfNbKmZ\nfXCi2igiAgpsIjK99Trn1jjnzgWuBt4J/M2rPGcpoMAmIhNK67CJyLRlZl3OuWTk++XA88AsYAnw\nc6DKf/hTzrmnzewPwDnAAeBnwLeBrwJXAAnge865/zNhb0JEpgUFNhGZtgYHNn9bK3A20AlknXN9\nZrYCuMM5t9bMrgC+4Jx7l7//x4E5zrmvmFkCeApvBfkDE/pmRKSoxSe7ASIiBcb8v0uB75rZGmAA\nWDnC/m8DLjCz9/vf1wIr8CpwIiLjQoFNRMTnd4kOACfwxrIdBy7EG+/bN9LTgE875x6akEaKyLSk\nSQciIoCZzQZ+CHzXeWNFaoEG51wW+BMg5u/aCVRHnvoQ8F/MrNQ/zkozq0JEZBypwiYi01mFmW3G\n6/7M4E0y+Kb/2PeBu83sA8BjQLe/fSuQMbMtwE+Bf8SbObrJzAxoBK6dqDcgItODJh2IiIiIFDh1\niYqIiIgUOAU2ERERkQKnwCYiIiJS4BTYRERERAqcApuIiIhIgVNgExERESlwCmwiIiIiBe7/AwMi\njXNp7MhPAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x11693a190>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "split_date = pd.Timestamp('11-01-2017')\n",
    "\n",
    "train = data.loc[:split_date]\n",
    "test = data.loc[split_date:]\n",
    "\n",
    "ax = train.plot(figsize=(10,12))\n",
    "test.plot(ax=ax)\n",
    "plt.legend(['train', 'test'])\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "from sklearn.preprocessing import MinMaxScaler\n",
    "sc = MinMaxScaler()\n",
    "train_sc = sc.fit_transform(train)\n",
    "test_sc = sc.transform(test)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "train_sc_df = pd.DataFrame(train_sc, columns=['Y'], index=train.index)\n",
    "test_sc_df = pd.DataFrame(test_sc, columns=['Y'], index=test.index)\n",
    "\n",
    "for s in range(1,2):\n",
    "    train_sc_df['X_{}'.format(s)] = train_sc_df['Y'].shift(s)\n",
    "    test_sc_df['X_{}'.format(s)] = test_sc_df['Y'].shift(s)\n",
    "\n",
    "X_train = train_sc_df.dropna().drop('Y', axis=1)\n",
    "y_train = train_sc_df.dropna().drop('X_1', axis=1)\n",
    "\n",
    "X_test = test_sc_df.dropna().drop('Y', axis=1)\n",
    "y_test = test_sc_df.dropna().drop('X_1', axis=1)\n",
    "\n",
    "X_train = X_train.as_matrix()\n",
    "y_train = y_train.as_matrix()\n",
    "\n",
    "X_test = X_test.as_matrix()\n",
    "y_test = y_test.as_matrix()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Train size: (474 x 1)\n",
      "Test size: (173 x 1)\n"
     ]
    }
   ],
   "source": [
    "print('Train size: (%d x %d)'%(X_train.shape[0], X_train.shape[1]))\n",
    "print('Test size: (%d x %d)'%(X_test.shape[0], X_test.shape[1]))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "from sklearn.svm import SVR\n",
    "regressor = SVR(kernel='rbf')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/Users/jpolikov/anaconda2/lib/python2.7/site-packages/sklearn/utils/validation.py:578: DataConversionWarning: A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "  y = column_or_1d(y, warn=True)\n"
     ]
    }
   ],
   "source": [
    "regressor.fit(X_train, y_train)\n",
    "y_pred = regressor.predict(X_test)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x1a19147c50>]"
      ]
     },
     "execution_count": 16,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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1n6IXBi82dPWkRT+XCLZ/PfDXh4BFtIBXFBXJaNgoeQw4SC8iI3eBYvRF4/QW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\n5+TAYun7VCzknLR3QfqATvp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RiS4AzCS0hWEihVSf9zFak6JiClOUJyBbob2rKUZbbVJC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\ngmCjzzAMs4Jgo88wDLOC+P/Jj6NfizIY/gAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1a190e8910>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(y_test)\n",
    "plt.plot(y_pred)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "-0.457688864354\n"
     ]
    }
   ],
   "source": [
    "from sklearn.metrics import r2_score\n",
    "\n",
    "def adj_r2_score(r2, n, k):\n",
    "    return 1-((1-r2)*((n-1)/(n-k-1)))\n",
    "\n",
    "r2_test = r2_score(y_test, y_pred)\n",
    "print(r2_test)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "Using TensorFlow backend.\n"
     ]
    }
   ],
   "source": [
    "from keras.models import Sequential\n",
    "from keras.layers import Dense\n",
    "from keras.optimizers import Adam\n",
    "import keras.backend as K"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Epoch 1/45\n",
      "474/474 [==============================] - 0s 248us/step - loss: 0.0118\n",
      "Epoch 2/45\n",
      "474/474 [==============================] - 0s 111us/step - loss: 0.0093\n",
      "Epoch 3/45\n",
      "474/474 [==============================] - 0s 95us/step - loss: 0.0083\n",
      "Epoch 4/45\n",
      "474/474 [==============================] - 0s 115us/step - loss: 0.0079\n",
      "Epoch 5/45\n",
      "474/474 [==============================] - 0s 122us/step - loss: 0.0077\n",
      "Epoch 6/45\n",
      "474/474 [==============================] - 0s 110us/step - loss: 0.0075\n",
      "Epoch 7/45\n",
      "474/474 [==============================] - 0s 99us/step - loss: 0.0073\n",
      "Epoch 8/45\n",
      "474/474 [==============================] - 0s 101us/step - loss: 0.0071\n",
      "Epoch 9/45\n",
      "474/474 [==============================] - 0s 103us/step - loss: 0.0069\n",
      "Epoch 10/45\n",
      "474/474 [==============================] - 0s 105us/step - loss: 0.0067\n",
      "Epoch 11/45\n",
      "474/474 [==============================] - 0s 99us/step - loss: 0.0066\n",
      "Epoch 12/45\n",
      "474/474 [==============================] - 0s 149us/step - loss: 0.0064\n",
      "Epoch 13/45\n",
      "474/474 [==============================] - 0s 110us/step - loss: 0.0063\n",
      "Epoch 14/45\n",
      "474/474 [==============================] - 0s 109us/step - loss: 0.0061\n",
      "Epoch 15/45\n",
      "474/474 [==============================] - 0s 137us/step - loss: 0.0060\n",
      "Epoch 16/45\n",
      "474/474 [==============================] - 0s 131us/step - loss: 0.0059\n",
      "Epoch 17/45\n",
      "474/474 [==============================] - 0s 176us/step - loss: 0.0057\n",
      "Epoch 18/45\n",
      "474/474 [==============================] - 0s 142us/step - loss: 0.0056\n",
      "Epoch 19/45\n",
      "474/474 [==============================] - 0s 143us/step - loss: 0.0055\n",
      "Epoch 20/45\n",
      "474/474 [==============================] - 0s 142us/step - loss: 0.0055\n",
      "Epoch 21/45\n",
      "474/474 [==============================] - 0s 160us/step - loss: 0.0054\n",
      "Epoch 22/45\n",
      "474/474 [==============================] - 0s 150us/step - loss: 0.0053\n",
      "Epoch 23/45\n",
      "474/474 [==============================] - 0s 103us/step - loss: 0.0052\n",
      "Epoch 24/45\n",
      "474/474 [==============================] - 0s 110us/step - loss: 0.0052\n",
      "Epoch 25/45\n",
      "474/474 [==============================] - 0s 112us/step - loss: 0.0051\n",
      "Epoch 26/45\n",
      "474/474 [==============================] - 0s 138us/step - loss: 0.0050\n",
      "Epoch 27/45\n",
      "474/474 [==============================] - 0s 136us/step - loss: 0.0050\n",
      "Epoch 28/45\n",
      "474/474 [==============================] - 0s 127us/step - loss: 0.0050\n",
      "Epoch 29/45\n",
      "474/474 [==============================] - 0s 103us/step - loss: 0.0049\n",
      "Epoch 30/45\n",
      "474/474 [==============================] - 0s 138us/step - loss: 0.0049\n",
      "Epoch 31/45\n",
      "474/474 [==============================] - 0s 142us/step - loss: 0.0049\n",
      "Epoch 32/45\n",
      "474/474 [==============================] - 0s 144us/step - loss: 0.0048\n",
      "Epoch 33/45\n",
      "474/474 [==============================] - 0s 155us/step - loss: 0.0048\n",
      "Epoch 34/45\n",
      "474/474 [==============================] - 0s 158us/step - loss: 0.0048\n",
      "Epoch 35/45\n",
      "474/474 [==============================] - 0s 154us/step - loss: 0.0047\n",
      "Epoch 36/45\n",
      "474/474 [==============================] - 0s 146us/step - loss: 0.0047\n",
      "Epoch 37/45\n",
      "474/474 [==============================] - 0s 136us/step - loss: 0.0047\n",
      "Epoch 38/45\n",
      "474/474 [==============================] - 0s 130us/step - loss: 0.0047\n",
      "Epoch 39/45\n",
      "474/474 [==============================] - 0s 140us/step - loss: 0.0047ETA: 0s - loss: 0.0044   \n",
      "Epoch 40/45\n",
      "474/474 [==============================] - 0s 149us/step - loss: 0.0047\n",
      "Epoch 41/45\n",
      "474/474 [==============================] - 0s 140us/step - loss: 0.0047\n",
      "Epoch 42/45\n",
      "474/474 [==============================] - 0s 132us/step - loss: 0.0047\n",
      "Epoch 43/45\n",
      "474/474 [==============================] - 0s 197us/step - loss: 0.0046\n",
      "Epoch 44/45\n",
      "474/474 [==============================] - 0s 113us/step - loss: 0.0047\n",
      "Epoch 45/45\n",
      "474/474 [==============================] - 0s 111us/step - loss: 0.0046\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "<keras.callbacks.History at 0x1a251db2d0>"
      ]
     },
     "execution_count": 21,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "K.clear_session()\n",
    "model = Sequential()\n",
    "model.add(Dense(1, input_shape=(X_test.shape[1],), activation='tanh', kernel_initializer='lecun_uniform'))\n",
    "model.compile(optimizer=Adam(lr=0.001), loss='mean_squared_error')\n",
    "model.fit(X_train, y_train, batch_size=16, epochs=45, verbose=1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "R-Squared: 0.978523\n"
     ]
    },
    {
     "data": {
      "image/png": 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LAztMsSjdot8eQDKYSvHC8zUr3z7WsuYwZTMYyziETGuFqjbdrrtvCXNoDb1TOoctVSam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\n19HqSywzMTLSj1Jhx2beTB1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Njd/F1o9X36BEjomM3vU4Olww7fISGzLHVCHMoyoZ9CTR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\n4YX2BP4AAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1a250f4c50>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "y_pred = model.predict(y_test)\n",
    "plt.plot(y_test)\n",
    "plt.plot(y_pred)\n",
    "print('R-Squared: %f'%(r2_score(y_test, y_pred)))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Epoch 1/45\n",
      "474/474 [==============================] - 0s 296us/step - loss: 0.0067\n",
      "Epoch 2/45\n",
      "474/474 [==============================] - 0s 100us/step - loss: 0.0052\n",
      "Epoch 3/45\n",
      "474/474 [==============================] - 0s 130us/step - loss: 0.0051\n",
      "Epoch 4/45\n",
      "474/474 [==============================] - 0s 109us/step - loss: 0.0051\n",
      "Epoch 5/45\n",
      "474/474 [==============================] - 0s 111us/step - loss: 0.0051\n",
      "Epoch 6/45\n",
      "474/474 [==============================] - 0s 109us/step - loss: 0.0051\n",
      "Epoch 7/45\n",
      "474/474 [==============================] - 0s 108us/step - loss: 0.0050\n",
      "Epoch 8/45\n",
      "474/474 [==============================] - 0s 110us/step - loss: 0.0050\n",
      "Epoch 9/45\n",
      "474/474 [==============================] - 0s 105us/step - loss: 0.0050\n",
      "Epoch 10/45\n",
      "474/474 [==============================] - 0s 100us/step - loss: 0.0050\n",
      "Epoch 11/45\n",
      "474/474 [==============================] - 0s 115us/step - loss: 0.0050\n",
      "Epoch 12/45\n",
      "474/474 [==============================] - 0s 133us/step - loss: 0.0050\n",
      "Epoch 13/45\n",
      "474/474 [==============================] - 0s 133us/step - loss: 0.0050\n",
      "Epoch 14/45\n",
      "474/474 [==============================] - 0s 132us/step - loss: 0.0050\n",
      "Epoch 15/45\n",
      "474/474 [==============================] - 0s 118us/step - loss: 0.0050\n",
      "Epoch 16/45\n",
      "474/474 [==============================] - 0s 109us/step - loss: 0.0050\n",
      "Epoch 17/45\n",
      "474/474 [==============================] - 0s 157us/step - loss: 0.0050\n",
      "Epoch 18/45\n",
      "474/474 [==============================] - 0s 183us/step - loss: 0.0050\n",
      "Epoch 19/45\n",
      "474/474 [==============================] - 0s 153us/step - loss: 0.0050\n",
      "Epoch 20/45\n",
      "474/474 [==============================] - 0s 162us/step - loss: 0.0050\n",
      "Epoch 21/45\n",
      "474/474 [==============================] - 0s 123us/step - loss: 0.0050\n",
      "Epoch 22/45\n",
      "474/474 [==============================] - 0s 130us/step - loss: 0.0050\n",
      "Epoch 23/45\n",
      "474/474 [==============================] - 0s 154us/step - loss: 0.0050\n",
      "Epoch 24/45\n",
      "474/474 [==============================] - 0s 151us/step - loss: 0.0050\n",
      "Epoch 25/45\n",
      "474/474 [==============================] - 0s 108us/step - loss: 0.0050\n",
      "Epoch 26/45\n",
      "474/474 [==============================] - 0s 131us/step - loss: 0.0050\n",
      "Epoch 27/45\n",
      "474/474 [==============================] - 0s 112us/step - loss: 0.0050\n",
      "Epoch 28/45\n",
      "474/474 [==============================] - 0s 157us/step - loss: 0.0050\n",
      "Epoch 29/45\n",
      "474/474 [==============================] - 0s 162us/step - loss: 0.0050\n",
      "Epoch 30/45\n",
      "474/474 [==============================] - 0s 137us/step - loss: 0.0050\n",
      "Epoch 31/45\n",
      "474/474 [==============================] - 0s 161us/step - loss: 0.0050\n",
      "Epoch 32/45\n",
      "474/474 [==============================] - 0s 119us/step - loss: 0.0050\n",
      "Epoch 33/45\n",
      "474/474 [==============================] - 0s 130us/step - loss: 0.0050\n",
      "Epoch 34/45\n",
      "474/474 [==============================] - 0s 108us/step - loss: 0.0050\n",
      "Epoch 35/45\n",
      "474/474 [==============================] - 0s 144us/step - loss: 0.0050\n",
      "Epoch 36/45\n",
      "474/474 [==============================] - 0s 136us/step - loss: 0.0050\n",
      "Epoch 37/45\n",
      "474/474 [==============================] - 0s 163us/step - loss: 0.0050\n",
      "Epoch 38/45\n",
      "474/474 [==============================] - 0s 136us/step - loss: 0.0050\n",
      "Epoch 39/45\n",
      "474/474 [==============================] - 0s 126us/step - loss: 0.0050\n",
      "Epoch 40/45\n",
      "474/474 [==============================] - 0s 103us/step - loss: 0.0050\n",
      "Epoch 41/45\n",
      "474/474 [==============================] - 0s 130us/step - loss: 0.0050\n",
      "Epoch 42/45\n",
      "474/474 [==============================] - 0s 164us/step - loss: 0.0050\n",
      "Epoch 43/45\n",
      "474/474 [==============================] - 0s 153us/step - loss: 0.0050\n",
      "Epoch 44/45\n",
      "474/474 [==============================] - 0s 177us/step - loss: 0.0050\n",
      "Epoch 45/45\n",
      "474/474 [==============================] - 0s 145us/step - loss: 0.0050\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "<keras.callbacks.History at 0x1a1916c5d0>"
      ]
     },
     "execution_count": 23,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "\n",
    "K.clear_session()\n",
    "model = Sequential()\n",
    "model.add(Dense(2, input_shape=(X_test.shape[1],), activation='relu', kernel_initializer='lecun_uniform'))\n",
    "model.add(Dense(1))\n",
    "model.compile(optimizer=Adam(lr=0.001), loss='mean_squared_error')\n",
    "model.fit(X_train, y_train, batch_size=16, epochs=45, verbose=1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "R-Squared: 0.952191\n"
     ]
    },
    {
     "data": {
      "image/png": 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CRlFehFPf7GmpvP8XkV/9nZ7WerVo8Hd/3YIZ3Qhi33t1lpI0GRwcxEzplKRZ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\ngqeu+3kAltLd7YUldYC8swBnHsVHoA1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wrSXKn3z3MP/+fDc3XdRCOGCX3NejKRKgM19f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\n0RcEQVhFiOgLgiCsIv4/kofITgljNfYAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1a255dcb90>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "y_pred = model.predict(y_test)\n",
    "plt.plot(y_test)\n",
    "plt.plot(y_pred)\n",
    "print('R-Squared: %f'%(r2_score(y_test, y_pred)))"
   ]
  },
  {
   "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": "2.7.14"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
