ixxi-dante/nw2vec

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projects/scratchpads/explore-node2vec.ipynb

Summary

Maintainability
Test Coverage
{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Exploring node2vec"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import logging\n",
    "\n",
    "%matplotlib inline\n",
    "import networkx as nx\n",
    "import numpy as np\n",
    "import pandas as pd\n",
    "import matplotlib.pyplot as plt\n",
    "import seaborn as sb\n",
    "from sklearn.decomposition import PCA, KernelPCA\n",
    "import jwalk\n",
    "from gensim.models import Word2Vec\n",
    "\n",
    "from nw2vec import utils\n",
    "\n",
    "logging.basicConfig(level=logging.DEBUG)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "This is the Karate club network:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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Vq4iMjPx7WpgU++oOKOoQlQkw6G9fXWUdro2NDY4cOaK0bZmZmZg4cSJMTEwU7kcgEKB2\n7dqYMWMGLl68qHKB0y+//AJzc3O0bt1aoT8vEcHf3x+mpqbqB9coB8nJyahRowZvO3R0dDB27Fhk\nZ2dX6DEvXLgANzc33mP26NED79+/L7VNcfvtl19+ifr160NfX79Mglu81KxZE1988QUWTJwIka4u\nQIp9lLcToRZJXOSsiNCaCFeLP3/l9VFmYTL/MzARZmhOBYbyKywsRMuWLXk7xY/tq+vp6Yk7d+4o\nbNubN2+QkJCAKlWqKNyHiYkJhg8fjnfv3ql9+S5cuAChUIgTJ04AAG7evImYmBilYtywYUMcOnRI\no9FhWcjLy8PUqVMVipqTkxN2795doe14+/Ytunbtyns8V1dXLF68WKH9trwlODgYJ06cKC325fBR\n5srjJ8zCZP7nYCLM0IwKCuWXn5+PjRs3IigoCAYGBrwdZFydOhDp65epI1Q3frKenh569uyJc+fO\nyQmLSCTCtm3bFHb4QqEQ33//PXJzczW6fDdv3oSNjQ1+/vnnUt9dv34dXbp0UdregIAAHDly5KOL\n8d27dxEREaGwHW3btsW9e/cq7HhisRizZs2Cnp5ehQksEcHU1BTBwcEYPnw4Bg4cyDv93aFDh9L3\nsRw+yjkCAZ7v26f5RWBhMv+TMBFmqE85OiZpKL8HDx5g3LhxsLa2RrNmzRAbGwszMzO5TrF+/fo4\ncOAAcnJycH/MGI0TGZTFVYhI4sYSExODyMhImJmZwdHRsZQoCIVCzJ07t0zTsg8fPoSTkxPWr1+v\ntN7Vq1fRsWNHpW1t3LgxUlJSPqoYcxyHXbt2wdHRkbcNBgYG+Pbbb5Gfn6/RfivSflu82NnZoU2b\nNpgwYQJ27NiBu3fvllptfvz4cd5jBQYG4tWrV/INLYePsru7u3rhOaVUwG+L8e+EiTBDfZRM0W0h\nggdJFky5EeFUie/FAgHO2NrC0tISQ4YMwciRIyEUChEbG4tbt24hKioKNWrUQJ8+fdC9e3fUqVMH\nBgYG8Pb2xrqAAHzQ1ZVM8ynpjFT56rZr1w6xsbEq7Yf6+vqwsLBA7dq1kZSUBC0tLVhaWmL27NnI\nysoq06V7+fIl3N3d8cMPP6i9zcmTJ5UmeyCSLJqSTmt/LLKysjB69GiFsa/d3d1x9OhR3m0/tv12\n1qxZOHTokPoRvyCZceB7sXB3dy89uldzeljM8+z5+fmpb6Yo+m0pilVdvEwp2v9R6WcsTOa/GibC\nDPVQEkbyCBGciXCuqDN6UlRK1ivU0cH348fDysoKwcHBGDJkCNq3bw9nZ2eYmJigcePGGDp0KFav\nXo3Lly/LjbCyT5zAH3Xq8PrqFo+fzDcFbWpqik2bNuH58+fYtGkTYmNjYWFhoVLgiAhhYWEYO3Zs\nuXxm3717Bz8/P0yaNEmj7Xbs2IGIiAhcunRJbtEaX2nWrBlOnTpV5jaqQ1pamsLIV0SELl26YPPm\nzR/NfistAoEAiYmJ5Yru9fjxY3h5eZXat7W1NS5duiRfWQ0fZXF0NMa1aFFqf6GhoarDZhb7bSmK\nVS0td4lQlyQrsY8W/46FyfzXwkSYoR5KwkgGEmGVklFCcbEcWzSqjIiIwPjx47Ft2zbcuXNHYaD9\nrKwszJo1SzZqvn36NMbp6OBDTAzu162L9SRxQ1K0Crp69ero2bMn6tSpAzMzM7Rv3x4LFy7E9evX\nIRKJcPDgQTRq1Ehlx+/g4IBp06bh2bNnGl22vLw8hIaGYvDgwRpPHX/55ZdyI+fz58+jdevWStvZ\nokULnDlzRqPjaALHcVi7di2sNAyCok4pbr9du3Ytrly5gtu3bytMshESEoLHjx+X+Vzevn3LG0nN\n2NgYhw4dKr2BirjZBQUFCA8PL7W/qKgo5YFWNAiTGUGEAyTJoSwnwixM5r8WJsIM9VAQRlJEBF2S\n5NitTgQHIgwhxe5FOZ06qXW47OxszJkzB9bW1oiJicHNmzcBSHxaLS0t0aRJEzRo0AA9evRQ2Knr\n6uqiRYsWmD17dim3IWkWpUaNGqFOnTpYvHgxxo0bB6FQqFQodHR08MUXX+DEiRMqRbWwsBBRUVGI\niYnROJsPx3FwdHTEH3/8Ueq7c+fOoVWrVkrb2apVK/z2228aHVMTMjMz8dVXX5V5pKuO/VbKhw8f\nMG7cON79WFpaYl9ZFkEVkZ+fj27dupXar7a2NtasWaPx/rKysnhfGuLi4mTnl5ubi1u3buHw4cNY\ntmwZLtWuXep3wifC24kQVfR3KREmYmEy/6UwEWaoh4Iwkk+LOpn6RHhGhFdECCLCBAUirCqUX05O\nDv73v//BxsYGXbp0kQsSkZWVhZiYGOjq6mLx4sUYMWIEb8dsZGSE2bNn8y4YkmZRCgoKgoeHB7Zs\n2SInzvn5+di0aROCgoJUColUvPnsfmKxGHFxcYiIiFA/b28xbty4AWdnZ6VCf+bMGbTgmQItXtq0\naYOLFbRoJzs7G+fOnUNSUhL69+8Pf39/6Ovrq7TxVq9evcz22+IkJyfD2tqa9xjx8fEaLxCTIhaL\nMWbMGN79Tps2TeMZjKdPn/L6W9vZ2fG2X50wmVlEqEF/x0rnFWEWJvNfCRNhhnooGAm/LupI1hX7\nbCcRfBSI8DUfH9y+fbvU7nNzczF//nzY2dmhY8eOuHr1quw7juOwc+dOODk5oV69eqhVq5bC1bRN\nmzbFkydPeE/h+PHjCA4Ohru7OzZu3KjSppiamooBAwbAyMhIqciYmJhg0KBBuHbtmqy933zzDYKC\ngsoc3OL777/HgAED1KqrToKKdu3a4ffff1f7+K9evcLRo0cxZ84cdOvWDR4eHjA0NISfnx/69euH\nRYsW4fTp03j//j0KCwuxcOFChf7UVlZWWLNmTdlz+xbj+fPnCv3K/fz8lPp9q2LhwoW8I/v+/fvL\nTSfn5eXh9u3bSE5OxvLlyzF+/HjExMQgICAAtra2Kl/eSpYf1RDhEUSYWux/XhFmI+F/JUyEGeqh\nxCbsSJIct6pEuHgYSW9vb0yfPh3Xrl3DwoULYW9vj/bt2yM1NVV2SI7jcOjQIdSuXRumpqYwMTGB\nubk574IqLS0tTJs2jVdYT548iaZNm6J69epYv369xokQ3r59i4ULF8LDw0NlhxocHIyuXbvC09Oz\nXIu5wsPDsWvXLo22USdVI981fvDgAX766SckJCSgXbt2cHR0RJUqVRASEoKvv/5aZp9VNaJ/9uwZ\nunfvrvDYjRs3lr2olAepTzHfc2BiYoINGzaUed87d+7k9VW2t7dHo0aNFCafKE/hC9FaUoS9iWBJ\nBJuiokUEcyLMltZhNuF/LUyEGeqhZHX0ZCL4kySDzGsiNCHCJJ56isJIVqlSBYMGDcLt27fx4MED\nrF69Gl27doWJiQm0tLTg7++PdevW4dmzZ/jiiy8QGhoqt72joyPvyuDTp08jLCwMrq6uWLNmTbmz\nEHEch2PHjqFz584qV1ZbWVlh4sSJZQo3mZubCxMTE7x9+7ZMbfzll1/QuHFjpe2rUaMGGjRoAHNz\nc5l9duLEidi5c6dS+6w6pKSkoFatWrzH1dbWxsiRI3nDUWrK2bNn4eLiwnucuLg4he5k+fn5uHPn\nDo4cOSIbyXbr1g2BgYEfRWRVleIhWhXFqv6LCM+LFUeS2IizpL8vtjr6XwsTYYb6KPAT/kCEQSRJ\ncG5DkmD2eSXqqBNGkkiy8MnV1RUWFhYIDw+XEzGxWAx7e3uYmZmhbt26IJKsPP3rr7/kmnnu3DmE\nh4fDxcUFq1atkuQFrmCePHmCxMRElZ22lpYW2rdvj+TkZLWF7dChQ2jSpEm52peVlYX58+fD1dVV\nafvatWtX4ckZAInQzZgxQ2E0NAcHh3ItqJLy5s0bdOrUifcYjo6OSEhIwIQJE9C9e3cEBQXB3t7+\nHxdZZcXIyAgtW7bEnbp1wQkECmNVl/zNuRDzE/5cYCLMUJvCs2dRqGH0KmkRGxpiUkSERoEavL29\nMWPGDNy5cwfPnz9HixYtoK2tjatXr+LJkydYsmSJ3KKZCxcuoHXr1nBycsLy5cvLtCBKUz58+IAd\nO3bA29tb5fnUrFkT33//vcpp6vj4eEyfPl3tNiiz3/bt2xeDBg3iza8rLQKBQG4FekVy//59hT7O\nZZ02Lj6SXbFiBcaPH48GDRp8FJ/kj1n09fX/nsFhEbP+szAR/typgHRoIpEIGzZsQM2aNTGvRg2N\n4zkX6Ogg3sAAVapUgaGhIUJCQtChQwfUr19faTq/4kVHRwdNmjSBiYlJqdWq0mAWjo6OSEpKKvMq\n2bJy9uxZWFlZYcOGDRg2bJjShA9EBENDQ/Tt27d0UIgiPDw8eFc0S+23u3fv1th+y3Ec9u/fDz8/\nP6ViHBsby7twrrzs2bMHzs7OsmPp6upi6NChKqfcCwsLMXHiRMTGxspGsv8msdXW1kZgYCAmTpyI\nCRMmlPre3NwcaWlpAICrgwYpTN+pqOQQIXPGjLLdFJYq8ZOAifDnSgWkQxOJRNi8eTM8PDzkYxWr\nGcpPGkYy3sAAcXFxOHnyZCmB3LdvHxwcHGBubq62IEtHyHv27EFUVBTs7e2xaNEi1ZGJPgJpaWmw\ntrbGwYMHZZ9lZWVh2bJlqFevnspzadiwIdatWydLIJCeng6hUIiCggKkpaXhxx9/xIgRI9CsWbNS\n9ltV/rV8cByHvXv3wsfHR2GbtLS00KtXrzK7EikiOzsb48aNg5GREc6cOYP+/fvDzs4OmzZtUugG\nxHGcypeaT614e3tjxIgR2L9/fyn3tYULF5aqb2dnhy1btkAoFOL+mDEa/ba+IkJQUJBmJheWKvGT\ngonw50g506GJxWJs27YNderUQWBgIH/WnqJQfpyBAcQlRsa5AgHyiHCkShWcnj+ft4mvXr1Cv379\nYG9vjy1btoDjOLx48QJJSUlo1qyZ2oJsb2+PKVOmlMs1pazcu3cPDg4O2Lx5M+/3HMfh9OnT6N69\nO3R1dZWeR5UqVdCiRQvUr18fFhYWMDIykouPfPjw4QoVRY7j8NNPPyl8UTA3N9coPaMmZGZmyv4+\ne/Ys6tWrh8DAQKxduxarV6/G5MmT0bNnTwQHB8PJyalMI19dXd1/bMTs7u6OgQMHYvv27aWTQPCQ\nmJhYah9aWlrYtm2bpIKKMJmFOjqlQrSOGzdOvYvPUiV+cjAR/twoRzo0sViMnTt3om7dugrz13Ic\nh5s3b2Lx4sWIjo5GjapVMUcoxG/u7thLhN2mpljs4oKTO3fyjm7EYjFWrlwJa2trfP3117zTkdu3\nb4elpSU6deqkkSD7+PjIbMgfm+fPn6N69epYsmSJWvVfvnyJmTNnKsxIVLxUr14d27ZtK1dsZHUR\ni8XYsWMHPD095dpgYmJSplSNfHz48AH379/HsWPHsGbNmlIiq6enB3Nzc+jo6MDLywsTJkzA2rVr\ncfz4cTx48IDXpmxlZQUXFxe4uLjAwsKiUqaotbW1NbLdS+E4DkOHDi21v3r16uHNmzd/V1QQJlP8\n4gVv+NLDhw8rPzBLlfhJwkT4c6IcizsK9fURU6MG6tevj/3798sJaHp6OlavXo3Y2FjY2dnB2dkZ\nffr0wcaNG/H48WNs374dderUAREhOTlZ4dTilStXEBgYiICAADlfVSk5OTkYMGAAqlevLmcTPXXq\nlEb2448tyG/evEG9evUwbdo0hXUU2W9NTU3h6emp0LWmeHFxccGsWbOQ8Q/Y6MRiMbZu3YratWvD\n0tISZ8+eRXR0NOzs7LBgwQKlU/0lRTYhIQG9evVCSEgInJ2doaenB2dnZ4SEhKBXr15ISEiQE1np\nVOrTp08RExODatWqYd++feA4Dnfv3sX48ePRtm1bNGzYUGHErI9ZLC0t0aVLFyxduhR37tzBnj17\n4O/vjwsXLsDNzQ0JCQkaR9USi8Xo0KFDqWM1btwYOTk5KrfPyMgotdJbKBTi6dOn/BuwhV+fLEyE\nPycUuBCFEkGfCMZFxZ3nhyYiwtOAANm08JYtW/Dll1/Czc1NFr95xYoVuHfvHjiOk42avby80KBB\nAxw6dAhE/I/Tu3fvEB8fD6FQiBUrVvDaMK9fvw5PT09069ZNNg1669YtdO/eHUKhELNmzUJAQAB2\n796t8ZR1RQpyTk4OGjdujK+//lrW8RYWFpbJfvvnn39i5MiRMDc3V9p+PT09xMbG4syZMx81fzAg\nWQdQfJX05cuXERkZCRsbGwx//2uSAAAgAElEQVQfPhzLly9XS2TXrFmDY8eO4f79+xq7iPXt2xeG\nhoYKUydqUlSZAfiKiYkJ2rZti++//x5XrlzhfV6ln7148QL+/v7o06ePRuf5119/oXbt2rz+1G3a\ntFFrXydOnCj1G2jatCn/DIoaqRK3kSQdqQkRapMkmxOImAvUR4aJ8OeCkmAaoURYqcYb7wdtbQR7\neKBq1aqIiorCggULkJaWJtfxcxyH3bt3w9vbG35+fnKj5pIizHEctm3bBgcHB/Tt25d3RMdxHFas\nWCELbchxHO7cuYOePXvCysoK06dPl4myjY2NXEjKstiQyyPIHz58QKtWrRAREYHFixejf//+aNCg\nQbntt7m5uVi7dq1agSJ8fHywYsWKMofD5KOwsBAPHjzA8ePHFY5kbW1tZbbqNm3aYMWKFWUWWVXw\njRDVHbFaWVlpNGNCJHEVat68OaZPn45z585pfD5ZWVlo06YNIiIi1Mo3nZWVhUaNGmH06NHIycnh\nTQ/ZvXt3tRbcTZs2rdS2iYmJ8pXUSJX4hCSJWA4SgSPCfiIYkiQAD4hYMJCPCBPhzwUlYSXVFmEd\nHTwcOpQ3shTHcfj555/h5+cHHx8f7N27t9SorLgI3759Gy1btoSXlxdOnz7N2+S3b9/iiy++gJeX\nF27evIl79+6hd+/esLS0xLRp0+TsxVlZWTA0NFTYMX0MQf7rr79k/rcxMTGoUqUKtLS04Ovri759\n+8rFT64I/P39sXTpUvTp00dhkAtpqVKlCoYPH67W1GVxkV27di0SExMRFxeH0NBQuLi4QE9PD05O\nTggODkbPnj0xefJkhSNZaTpFZ2fnCvHFfvnyJQ4fPozZs2eja9eucHd3VzkC1tXVhYeHBxo0aAAP\nDw+NfM+JJLbcgIAADBo0CDVr1kRUVJTcYrGyUFhYiH79+sHPzw/Pnz9XWC8/Px8tWrRAv379ZL+f\nN2/e8PqZDx06VOXMh0gkQlhYmNx2AoEAKSkpf1dSI1XibySJ3FW8jhURzkr/Z2ExPxpMhD8XFCRY\nkIqwFUlizwYR4bgyMS4RBJ7jOBw4cAD+/v6oV68efvrpJ4VCSETIzc3F5MmTYWlpif/9738KRxXn\nz5+Hq6srBg8ejD/++AP9+vWDpaUlEhMT5RenFHHlyhV4enqqdSnKIsh16tRBbGwshgwZUsr/dvjw\n4QgLC4Ofn1+ZQkmqQ0ZGBqpUqSITtczMTMybNw/Vq1dX2OZatWqB47gyiezq1auRkpKCe/fulUlI\nz549i/DwcFSrVk2tqGQcx+HevXvYuXMnJk6ciLZt28qinzVt2hTx8fFYv349rl27hr1798rOsWrV\nqggJCUFoaCiMjIxgY2NTJpclb29vfPPNN6XchvLz8xEfHw9nZ2eFL4vqwnEcpkyZAldXV9y6davU\n9yKRCJ07d0bHjh1LvehKF/qVfElU5wXv+fPnsLGxkdvW1tZWNhuT36VLqd95SREWESGECHuL/t5N\nkrSk2Ur6BkbFwET4c0FBqkHpW+57IuSTJNuRCRHuKqj7JjgYIpEIHMfh8OHDaNSoETw9PbFjxw6V\n02NEBDc3N3Tu3FlhsnWxWIw5c+ZAKBRi2bJl6N+/PywsLDBp0iSlo5Fdu3YhKipK48tSFkGuVq0a\nRowYIetIExMT4evr+9EEGAA2bdrEe35isRgHDhxAixYtSrVfS0sLVapU+Sgiqy7S+Nxubm5Yu3Yt\nCgsL8eHDB1y9ehXr1q3D119/jdDQUFStWhUODg6IjIzE5MmTsWvXLty/f593pPf69WssWbIEM2fO\nRExMTJkWY9WsWVPmNqTOwraff/4ZNjY2mDFjRrlXpa9atQo2NjY4e/as7DOO49C/f380b95c4SK3\n+/fvy0wS+vr6WLhwodrHPHr0aKlrIBQK4ezsrFaqRBBhFUnWjGiTZCp6f8ntWKrEjwIT4c8FJSPh\nkqUVERYq+G49kSxbkY2NDebNm6eyU3r06BE6duwIIsKhQ4cU1nv58iUiIiJQv3599OjRAxYWFhg/\nfnyp2M98zJkzByNGjNDokuTk5Mjy3w4YMAA+Pj7Q1dWFoaGh2i4tDg4OsLS0xLlz5zQ6tiYUFhYi\nOjoa8fHxWLduHaZMmYLevXujadOmqFatGvT09ODo6Ah/f3/UrVsXRkZG0NPTQ1JSEvr06QMLCwu0\na9cOhw4dqpB0gZqQlZWFM2fOID4+Hra2ttDX14eenh5q1aqFmJgYfPfddzhy5IhKIczOzsbGjRvR\nt29fVKtWTWPRdXBwQK9evbBu3To8evSoTOfy+PFjhISEoHnz5nj27FmZ9iHlwIEDsLKywu7duwEA\n48aNQ4MGDVSObNPS0hAbG4srV67Azs5OYSYtkUiEGzduYOPGjRg1ahTCwsJgaGjIe23USZV4lAgW\nRLhIBDERLhDBlgipbCT80REAADH+/cyZQ5SYSJSfr7Jq66IyvMTnuUSUQET/K/G5ra0tNW/enJo3\nb05hYWFUrVo1IiIqLCykBQsW0OzZs2nYsGE0ZcoUUvQ4paSkUGxsLDk6OtL9+/epf//+NGrUKBIK\nhWqd3ldffUXe3t40ePBg3u8zMzMpNTVVVq5cuULp6elUu3Zt8vHxIV9fX/L19aV69eqRqakpvXz5\nkn766SfasWMHnTx5kjiOU9kGHx8f6tKlC3Xp0oVq1qypVruJiEQiET19+pTS09N5y7Nnz0gkEpGf\nnx95eHhQtWrV5IqTkxPp6enJ9ldQUEBXr16lhg0bEhFRbm4ubd26lZYsWUJv376lQYMGUZ8+fcjS\n0lLtNqpDRkYGXblyRe46P378mOrUqSO7vhzH0ZYtW+ivv/6ixMRE6tq1K2lra6vc919//aX2s0BE\nZGlpSW5ubnT79m2KjIykRYsWkYWFRXlOj4iIxGIxTZ8+nZYtW0Zr166liIiIMu/r0qVLFBUVRQEB\nAXTr1i06deoUWVlZqb395cuXKSIigtatW0dWVlZyz/a1a9coLy9Prf2MIqKpRGRU7LNJRPSEiNYV\n/T+PiM4Q0e5idToQUZOi7cnQkGjqVKLRo9VuP0NNKvklgFFRKFgd/YYIh+nvlGgbiWBEhFs8b8eK\nUg2WLK6urmjbti0cHR3RtGlT2cImvsepsLAQw4cPh7GxMUxMTDBy5Ei8fPlS49MLCwuT+SCnp6eX\nKX6yIsq6qGvmzJn4888/UVhYiIcPH+LkyZNKR7JNmjRBjx49MGnSJKxatQq//PIL7t69i/Pnz6Nm\nzZoaX5OScByH3377Db169YKZmRni4uJw/vz5Mu1Har+dNGmSzH5btWpVhIaGytlv+WzBHMfh6NGj\nCAoKQu3atbF161aFI/SsrCwcPHgQI0eOVDiSI/rbbeh///ufnNvQ69evMXDgQNja2uLHH3+sMBeu\nEydOwNHREaNGjSrXdP7s2bOho6ODwYMHq9W2zMxMpKSkYN68eYiNjS3TrEDJIiRCfpHroqJUiSdI\nsmZEOvK9XDQyTpb2D2x19EeDifDnBI+fcAZJcv2akCTVYCMiHOERYDERztrbq/RZ5Suenp4YNmwY\niEhuUdWlS5dgZ2cHHR0dDBgwQOmqUT6k/rcbNmyAqakpAgICKiR+sjJevHiBESNGQFdXV21BFggE\nqFKlCvz8/BAbG1tKZFV14rNmzcLQoUMrpP1SXr16hTlz5sDV1RX+/v5Ys2YN70pqVfbbSZMmKbXf\nKoPjOCQnJ8vWFWzfvh25ubk4fvw4Jk+ejMaNG8PY2BihoaGYNm0aunbtKrum+vr6aNasGaZPn46z\nZ8+qXPh1/vx5+Pn5ITQ0FDdu3NConYp49eoVIiMj0bBhQ9y7d0/j7X/66SfY2tri3LlzaNSoEXr0\n6CF7FjiOw6NHj7B3715MmTIF7du3l0twUdZibGzMmzHrjI2NylSJi4hQvaivcCXCPGn/wPyEPypM\nhD8nKiAqjlgsxuXLlzF37ly0bt0axsbGGnUCWlpa8PHxQY0aNUBECAgIkPPtVYTUfrt06VIMGDBA\nzv+2c+fO0NbWxoEDByo8qQAgsa9JR7LTpk2DkZERWrVqhcaNG8PS0lKjkIjFR8jq0rRpU+zfv7/C\nzwuQLOw6ePAgIiMjYWFhgZiYGCQkJKBfv36oX78+DA0N5ey3ycnJFRqhq7CwEL/99ht69+4NU1NT\naGlpoWbNmhg7diyOHDki92Jw5swZTJgwASkpKWUKlykSibB48WJYWVlh7NixFeJLzXEc5s+fD6FQ\niK1bt6q9XUpKCoRCIX7//XeIRCJcunQJfn5+cHFxQWhoKCwtLcs/whUKER4ejrFjx2Lr1q24ffu2\nbP3GmDFj5Or6E+GDrm65+gbGx4GJ8OdGBceHLSgowOrVq+Hg4IAqVapoHIFIV1cXISEhmDJlCn79\n9VcUFBTI+d92794dtWvXlst/W9L/9tatW6hevXqZL4lIJMKjR49w6tQprF+/HlOnTkWfPn3QrFkz\nuLq6Qk9PDw4ODvDz84OBgQE6duyIlStX4ujRo/jzzz+Rn59f7ilrRbx//x4mJiYVGnwDkCyCS05O\nlvO/NTAwgK2tLQwMDODh4YHZs2fzuoOVB47jkJaWhvnz5yMqKgpmZmaoW7cuhg8fjj179mDLli0y\nX/M9e/Z8lAhgz58/R2xsLJydnbF79+4KOcalS5dQo0YN9O/fX6lvtjTwiomJCaKiotCoUSOl0+zq\nFjc3N9SrVw+WlpbYuHEjnj59qvS8Pnz4gMDAQLl9DBYIIFIQS0BREenrs9jRHxkmwp8jFZQp5e3b\ntxg2bBhsbGywZs0aiMVi5OTk4MiRIxg3bhwaNmyocXQigUAAbW1tuLq6olu3bli9erVK++2BAwcQ\nHh6u8PviIvvjjz9i2rRp6Nu3L5o3bw43Nzfo6enB3t4eQUFB6N69OyZOnFhKZJ88eYJq1aphxYoV\nKi9vWQQ5ODiYt9Pcu3cvwsLCVB5TEVL77a5du9S23+bl5WHDhg0IDAyEk5MTpk+fXuYZBml85xUr\nVsjcidzc3NC/f39s2bKFd78cx2HPnj3w9vZG/fr1ZXGiK5pjx47Bw8MDkZGRuH//frn39/79e8TG\nxqJOnTpIS0srZb/19PSEtrZ2ucRWR0cH9erVQ1xcHH744QecOHFC7kVp0qRJ8PPzUyvDVXp6einz\n0gQLC3CGhmqnSky0sanwiGgMeZgIf65cvIg3zZujQEsLuSV/ZNKcoR078k4zcRyHTZs2wc7ODv37\n91foQvT69WuMGjUKxsbGpYLJq1vMzc0RHR2NxYsX4+bNm7yd8fz589GzZ0+1RXbChAlYsWIFjhw5\ngjt37pTKYVySzMxMeHp6Yvbs2RpfZnUFuWXLlrx260GDBmGOmpGIittv4+PjK8R+e/nyZfTv3x9m\nZmbo1q0bfv31V5XbPn36FBs3bkSfPn3g4uICOzs7xMbGYs2aNXjw4IFaxwUkU+W7du2SxR8/ePBg\nhYtxQUEBZs6cCUtLS0yfPl3ls8BHcfut1Gdc05dPRS+kdevWxZAhQ7By5UpcunRJZU5sjuMwePBg\nhIaGqpU/e8+ePXLHDA8Px5ujRxWmShTr6yOXSC5V4nwF6UgZFQNzUfrUyMggWreO6No1onfviKpW\nJapXj6hPHyI1XTiuXr1KU6ZMofPnz9PUoUOpt0BAun/8QfTmDZG5OZGXF1Hv3rz7u3XrFg0ZMoQy\nMzNp2bJlFBAQUKrOs2fPKCEhgbZu3Ur29vb06tUrevfuHQGgqKgoMjIyonfv3tHNmzfp4cOHGp2+\nmZkZOTs7U5UqVUgsFtPLly8pPT2dTExMqG7duqXcd6QuPAYGBhodR0p2dja1aNGCQkJCaM6cOWXa\nhxRlbk+Ojo4EQObiFBAQQAKBgKpXr0579+4lLy+vUu26du2anFvKzZs3ydnZmXx9fWVuVz4+PmRt\nbV2udhMRvX37ltavX09JSUmkr69PgwcPptjYWDI1NaXXr1/TiRMn6NixY5SSkkIvX76kZs2aydzW\nPDw8SCAQlPnYHMfRrl27aOrUqWRiYkLTpk2jli1blmufJUlPT6evv/6abt++TUuWLKGwsDDeemKx\nmO7cuVPK3S0zM7NcxxcKhTI3Lul9u3//PvXq1YuWLl1KnTt3VntfHMdRbGws5ebm0q5du0hHR0dp\n/fj4eFq8eDG5u7tTeHg4zZ8/X/LFq1eSviYtTa5v+ObqVZq/aZNs+6pVq9Kff/6p2oWsAvqu/ySV\n+w7AkHHhgmR1s4FBaVcj6cg1OlpSTwFpaWno1KkTbG1tNc4Fm5OTgwkTJsDKygoLFiyQhdUrbr/t\n0qULrKysQESwsLBAWFgYhEIh2rVrhxcvXoDvcXrw4AFWrlyJ6OhoWFhYaDxacHJygqOjI0aOHFnh\ni7Ly8/PRsmVL9O3bt8JHYMVHyFWrVkVubi5u3LiBKVOmoE6dOnBwcEBcXBysrKzw/PlzOfttrVq1\nYGhoiPr16+PLL7/EkiVLcObMGbWSA5QXjuOwb98+BAUFQV9fH0KhEMbGxoiIiMCcOXNkC40+BtJ0\nih4eHggKCsIvv/xS4fdl7969cHFxQbdu3XDv3j2cP38ey5cvx8CBAyvMfuvq6oqOHTvi22+/xf79\n+5Xab1NTU+Hg4KDxaLOgoAARERGIi4tT6RlQUFCAS5cuITMzE87Ozti7d6/S+i9evCgVGvSrr75S\nvEEF9F3/ZZgIfwqU04Z748YNfPHFF7CxscHcuXM1XuSzb98+VKtWDe3atcPq1auRkJCAqKgoODk5\noUqVKggKCkJgYCBMTU3Rtm1bXLt2DT/88AOEQqEs+fzjx49BRNiwYQO+/fZb9OvXD2FhYahevTr0\n9PRgZ2eHgIAAtGnTBuHh4fDx8YGJiYnGHZx0kc/evXvLtahIJBKhS5cuiI6O5k1YUZFIxbO4/far\nr76CUCiEQCCAQCCAg4MDvvjiC6xdu1ah/+3HIj8/HydOnEBCQgKaNGkCY2NjhISEYOTIkejduzds\nbW3RtGlTbN++/R9pl0gkwqZNm+Du7o7g4GAcP3683Pssbr+NiYmRvUyWp+jo6MDLywtmZmbQ1dXF\ngAEDypQIIj09HR4eHhg5cqRGrnbZ2dkICgrCN998o/bLypkzZ2BtbY2HDx8qrTdv3rxSU+d8OcAr\nav3JfxkmwpVNOVYz//HHH+jWrRusra0xe/ZstUdKhYWFuH79On744QdUr14dhoaGMDExKeV/e/Xq\nVcyaNQtCoRAdOnTApk2bkJSUhFq1akEoFCIoKEhOZIkI3bp1w/jx47F8+XIkJyfj9u3bCm1XUteN\nOXPmICIiAkZGRhp1glpaWmjYsCHGjRtXyt1FGRzHYcCAAUrj+JYXZfbbtm3byhbYLFy4ENevX5cb\nIcfHx+PMmTMfLQSlSCTChQsXMHv2bLRs2RImJiZo0KABr9uQ9Fy2b9+Opk2bws7ODgkJCQpjg1ck\nhYWF+PHHH1GjRg00bdoUJ0+eVGu7x48fy/xvO3ToABcXl3ILrrGxMYKCguTst1lZWWjfvj26du2K\n+/fvo3HjxggPDy/TjE1mZiYaN26MmJgYjezWr1+/hpeXF2bMmKH2Nt999x0CAwOVvlAVFBSgZs2a\nctcgNDRUXuwr2BPjvwoT4cpEiV/vHSLoEyFWwcOcr62NsKpVMXPmTKXxaPn8bw0NDWFpaQk9PT20\nbNkSe/fuRWpqKk6fPo2NGzciISEBDRs2hJ6eHkxMTKCrqwtbW1vUqVMHhoaGaNSoEZYsWVJKZMtr\n3SgoKMCvv/6KKVOmICQkRGN3KD09PVngh9OnTyvsZMaPHw9/f/8KS0EojZ+8ePFiXv/b2bNnIzk5\nWS5SWH5+PkxNTUsteis5ZV0RgsxxHK5fv44FCxagffv2MDMzg6enp8xtSJMZhevXr2PIkCEwNzdH\nx44dP8qUcUkKCwuxdu1auLm5ISwsTGW2o9DQ0HIJbnH/2y1btuDWrVulpuDFYjF69+6NVq1ayVb2\nFxYWYtKkSbC3t8fRo0c1Ps/c3Fx07NgRoaGhGt2TZ8+ewc3NDUuXLlWrvlgsRuvWrTF27Fil9fbv\n31/q2uzYsUPyZVHflU+EvkRwJkmQDx+S5CSW9lO/EKEWSRJCNCVCulSImd+xDCbClQlPhCtpaUmE\nJkpEWCwQ4EO7dnK7k9pv586dW8r/tmvXrvjmm2/Qq1cvWFlZwcnJCUFBQahRowb09fVha2uLhg0b\nwtfXF8bGxvDz88OyZctw69YtvH//HomJibC1tVWaoKG8IlySnJwcfPfdd3BycoK/v7/GK1KNjY3R\nunVrzJ07F5cvX4ZYLMa8efPg4eGBV69elalNGRkZFWK//eWXX9CoUSOldcojyPfu3cPKlSvl3Ia+\n/PJLbN68WePIZXy8f/8eS5cuhZeXF2rVqoUFCxZUuM9xST58+IBVq1ahWrVqCA8Pl0uqkZeXhwsX\nLmD58uXw8vJS+xmR2m8nTpyIyMhIWFlZydzxFMFxHEaMGIHAwEBe009KSgocHBwwfvx4jafvRSIR\nhg8fDk9PT40SUdy9exf29vZqBxTJyMiAo6MjDh48qLAOx3GIiIiQu14uLi6StSZFfVc2SSJuPSBJ\n1L19RWL8gAiviFCFCNtJEh5zFEki9rEIXPIwEa4sFMR6BhG2EKFL0cOtSIRBBJGuLmaPHIl27drB\n3t4exsbG8PDwQGBgIEJCQtCoUSNUr15dtsDGysoKRkZGiI6OxtKlS3H48GHcunULr1+/xvz582Fn\nZ4fo6GhcuXJF1kxpZpmwsDCVmWUqWoQBYMWKFejbty8AydTbnj17MGzYMHh6epZpStHIyAjTp0/H\nH3/8oXQEx3Ec7t+/L+d/6+DgoHb8ZFWMHj0aCQkJatdXJcjPnj2Ty0Jka2uL7t27Y/Xq1Rq5DWkK\nx3H49ddf0a1bN5iZmaF///78tsMKRBpa1MzMDPb29nBzc4OBgQG8vb0RFxeH7t27l7r32tra8PLy\nQq9evXj9b6VcunQJDRo0QJMmTXDt2jXe48+cORN169ZVav+VZgwLDAxEenq6RufHcRzmzp0LJycn\nhW3g4+rVq7C2tsbhw4fVqn/ixAnY2NgojWj3xx9/QEdHR+5a/m/sWIV9F4jgRRIXp+VECCz2eTYR\nDIjwBxGLRV0MJsKVxXff8T7I74hQkwiP1BDhXCJMNjCAjo4OLC0t0bBhQ3Tt2hXjxo3DsmXLcPjw\nYdy4cQM//PADrKysMGbMGLkRWn5+PhYvXgwHBwdERUXh8uXLck3UNMfqxxDhMWPGKLR3PX/+HJs3\nb8aXX34JV1dXjUXZ3t4ePXr0wMqVK3H48GGsX79eof22rPGTFeHl5SWXb1YTbty4gTFjxsDR0RHG\nxsawsLCAqakpOnTogEWLFin0t/7YPH/+HNOnT4eTkxMCAwOxYcOGctncpf65P//8M6ZOnSqz75qY\nmKBx48YYOHAgevToAWtra7Ru3RqXLl0CIJkyDwwMxODBg9X2vy2OSCTC0qVLIRQKMWrUKLnfzLJl\ny+Dq6oqnT5+q3I9YLMbcuXMhFAqxc+dOjc9/06ZNEAqFOHbsmNrbnD59GlZWVmo/W9OmTUNISIjS\nxYnffPON3O9mvI4ORHp6vH3SC5KY0f4gwnAiDCzxvWeRQMPQEFDTP/5zh4lwZaEg/+9wIswu+luV\nCIMItxs1Uhhc/sKFC6hfvz5CQkJw/fp12ef5+flISkqCo6Mj2rZti4sl7DP5+fn4+uuv4ezsrNL+\nVpyPIcKdOnXCtm3b1Kp7//59rFq1Ct27d4etra3GomxiYoKGDRti/Pjxcteronn69CnMzc01WpWd\nnZ2NQ4cOYfTo0ahfvz5MTU3RqlUrjBw5EgMGDEDt2rXh6Oj40Rd1qUNhYSH27NmD8PBwWFtbY9y4\ncSpH4yKRCDdv3sSmTZswevRotGjRApaWlrC2tkarVq0wbtw4WXzkkueWl5eHRYsWwd7envdlsqy8\nfPkScXFxcHR0xM6dO7F161bY29trFBcckCSXcHNzw6BBgzSOiX3s2DEIhUJs3rxZ7W0OHjwIa2tr\npKWlqawrEokQFhaGyZMnyz7LysrC9evXsX//fixevBhDhw6Fnp6e7HfCl58YRPhAhDAiDCj6vy8R\nxpaoE0SEtdL/WX5iAEyEK4/IyFIPcSoR6hChQAMR3lv0w7C1tUVERATGjx+PNWvWoHv37rCxscH6\n9etlo6KCggIsX74czs7OiIiI4E1zd+fOHfj6+iI6OhqvX7/W6JQ+hgh7e3vLRjiaIJ0mlSZ/KDml\npk7x8vLCpk2bKvyc1qxZgy5duiitk5+fj5MnTyIxMVHObWjKlCk4deoUb5jP69evIzExEXXq1Plk\nBPnOnTsYMWIELC0tERkZiYMHDyInJ0dmvx04cCACAgJgbGwMNzc3dOrUCdOnT8eBAwdUxkcuSV5e\nHhYsWCAzq1y9erVCzuHkyZNwcXGBnp4e9u3bV6Z9vH37Fl27doWXlxdu3ryp0bbXrl2Dk5MT5s6d\nq/b12Lx5MxwcHHhf0LOzs3Hjxg2ZyA4aNAgGBgZwd3dXy3XrZ55+SEyErkRoXSTG0gHFoBL16kpH\nwkSSPpDBRLjS4BkJ/0CSXL82RcWYJDYUXyUivF7FyK5JkyYYMmQIevfuDTs7O7Ro0ULhVNWGDRtg\nZWWFJUuWlGk6s6JFmOM4mJiYqFzwo8h+a2pqCl1dXbRr1w5r167Fli1bMHPmTLRq1Uptd6jly5dX\n6DkBQNeuXbFq1Sq5z0QiES5evIjZs2cjPDwcJiYm8Pf3x5gxY5CcnKyx7/enIsivX7/GsWPHMGvW\nLAQEBMDAwAACgQB2dnbo2rUr5s+fj5MnT+Lt27cVdszc3Fx8//33sLW1RefOndUaESrj3LlzsLKy\nwqBBg2BpaYkpU6aUaZqd4zisWrUKVlZWWL16tUa/sUePHslWtKsyDUlFdtCgQbCyssLgwYPRpUsX\nNGjQAEKhUOOX0ZKl5IfNXJ4AACAASURBVEiYI0Jvkqx+Lh4id3nRyFf6fzZJVkn/wUbCcjARrix4\nbMI5RHherIwkQieS5ATmE+Ccojqa/IB0dXXh4+ODPn36YOHChTh16hSePn2KuLg41KpVS25RlqZU\ntAi/ePEClpaWcp9J/W9V2W9//fVXODk5Yd26dbz7LigowKlTpzBlyhQEBwcrdIcyNDQslQWqPIhE\nIlhYWODRo0e4fv06Fi5cKHMbqlOnDoYNG4bdu3drPAuhjH9CkFXZb4cMGYJVq1bh0qVL+PXXXxEX\nFwczMzP06tULv/3220exYWdnZ2Pu3LmwtrZG165dNR6BApIodNbW1jhw4AAA4OHDh4iOjkaNGjWQ\nnJxcpnbduHEDdevWRbdu3dRKxCDlzZs3CA0NRfv27fH777/jwIEDWLJkCUaPHl2hIquqjCohtl+R\nZNVzVon+KYMkq6N3kmR19JiieiBmEy4Oix1dWWRkELm4EOXnK6wyhYjuEtFGBd8XamtTa09POnnz\nJolEonI1x9TUlFq0aEH+/v6y+La2trYa7UMgEFBFPk4pKSk0bNgwGjp0qCyOrzR+sjR2Ml/85Fev\nXlFwcDB99dVX9M0336h1rJycHDp9+jQdO3aMjh07Rr///jvVqFGDLl++LPs8JSWF/vzzTwoKCqKw\nsDBq3rw5+fj4kLa2tlrHePDgAa1cuZKSkpLIwMCAjIyMqHnz5hQWFkbNmjXT+HqXhRs3btCOHTto\nx44d9P79e+rcubMslrWWlpZa+5DGV75y5YpcfGUtLS25uNa+vr5Uo0YNhfvNzMyktWvX0tKlS8nc\n3JwGDx5MMTExZGRkVJGnTNnZ2bRkyRL6/vvvqUWLFpSQkEC1atVSud2DBw8oODiY5syZQ927d5f7\n7sCBAzRs2DBq0KABff/99+Tg4KBRm/Ly8mjEiBF09OhR2rp1K/n7+8u+y8nJoYcPH1J6ejpvefXq\nlUbH0hQtLS3eGO3VqlWj9+/fU4iHB+nWqEEGRPSQiKoRkT4RFY9gvZyIYonoFyIaWlSvERGtK6pP\nBgZEjx6xmNJExES4MunYkWjPHsm7oYZAIKBnjRpR0LNn1KRJE+rfvz89evSItm7dSidOnKDCwsJy\nC7OtrW2pTtXNzU1hp1oeEX716pVch56amkoPHjwgExMTio6Olh2/Xr16ZGJionA/79+/p+bNm1Or\nVq1oxowZZWoLEdGbN2/o4cOH5OPjI/d58WQGx44doxcvXlDTpk1lYlo8mcHz58/p+PHjMgHPy8sj\na2trsrOzo2XLlpGrq2uZ21cRqCPI+fn5lJaWJndf0tLSyMbGRu4lyNfXl+zs7MqUdIHjODpy5Agl\nJSXR2bNnqVevXjRw4EByd3ev0PPNysqiRYsW0fz58ykiIoImT55MNWvW5K378uVLatKkCcXHx9OQ\nIUN46+Tl5dGsWbMoKSmJJk6cSMOGDVOZTIGIKDc3VyayP/30E23atInc3d1JX1+f0tPTKSMjo1zn\nqQodHR1ydnbmFVkDAwOKjIykHTt2UEhIiMJ93K1Xj1zT0ki9188SCARE0dFEu3aV+Rw+J5gIVyYX\nLxKaNiVBbq7Gm+Zra1MPR0casnYthYaG0o4dO2jq1Klkbm5OU6dOpebNm9OjR4/kRiupqan05MmT\ncjXZ1NSUvL295TLC1KlTh/T09NQSYQCUnp5eKktNdna2XGYgX19f2r59O2lpadG0adPUuyb5+dSm\nTRtyd3enpUuXVmgWHkU8e/aMjh8/TikpKXT06FHKyckhoVBI2dnZlJ2dLcs0FBYWRrVr16bGjRvT\n1KlTqWXLlh+9bZpw48YN+vHHH2nbtm309u1bsrOzow8fPtCzZ8/I3d1d7n57e3tT1apVP0o70tPT\nafny5bRmzRry9vamwYMHU2RkpFripi7v37+nBQsW0MKFCykyMpImTZpE1atXl33/9u1batq0KXXs\n2JESEhJU7u/27ds0dOhQysjIoKSkJPL19VU6kv3YIqutrV1KZB0dHWn16tUkFApp+/btpKenp3D7\nQ4cO0YABA+jy5cu8mZN27NhBKwcMoD3v3pFRWeTDyIjo5EmiYqP//zJMhCuZA+3aUdP9+8lYg21y\niehU+/bUdOtW2rdvnywF3NSpUyk8PFyp+Ozfv5/69etHtWrVIjs7O0pLS6Pbt2/Lpd3TFF1dXfL0\n9KQrV67QwoULZSNWQ0NDunXrVinBNTY2LpXWzdXVtVS7e/ToQeHh4dSrVy+VbRCJRNSlSxfS19en\nTZs2qT1FXB6KT2GnpKTQ7du3ydfXVybCqampZGpqKhNhX19fatCgAWVkZJQ59WJFAICePn0qd19S\nU1MpMzOTvL29ydnZmbKzs+n69ev04cMHufSL6k5Zl5eCggLauXMnJSUl0ePHj+mrr76iL7/8kmxs\nbCrsGG/fvqX58+fT4sWLqX379jRp0iSysbGhVq1aka+vLy1YsID3t1R8JFu8/P777/TgwYNy/ZbU\nobjIAqALFy7QkCFDKDIykqpVq0b29va8Ly15eXnUqlUr8vb2poULFyrtJ8aOHUtpaWm0f/9+2T3P\nzc2lb775ho4dO0Zbt24lq507STh7NmlkPDAyIpo3j2jQIA3P+jOmMgzRDAnPnj2Djo4OvipaOShS\nsABLWkREyNPWRsa0abJk6P7+/molQxeJRPj2229hY2OD/fv3y32XnZ2Nc+fOISkpSRZf2sDAoNwL\nOAQCAUxNTeHl5YU+ffpgy5YtcvGTVdGoUSO1/JQ5jkOfPn0QHh5e7oVTypAu5kpMTERwcDCMjY0R\nHByMxMREnDp1qlTgfY7jkJaWhgULFiAqKgpG/2fvusOiuN7uoQkoVYqAIKBoNAioWFAEe7ChogEr\nsaERbIktWBDQiGLXKGCNNXZRY4kiFpoFCyBYEJRqQJEOCyy77/fHZufbhV3Ypdh+nOeZR5l7Z+bO\n7Mw99+3Nm5OKikqdcjbXFfz427/++ouJv9XW1mbib3/77Tex8bdEX4aX9dOnT2nWrFmkoaFBEyZM\noLCwsAZ15MrNzSUvLy/S1NQkIyMjGjVqFCUkJNC1a9coMDCQli1bRi4uLtSzZ0/S1dVtdMcnAKSh\noUH9+/en6dOnk6+vLx0+fJju3r1Lqamp1eLLw8LCSFdXl44cOVLrvebn51OXLl3I29u7xn4VFRXU\nu3dv2vif81R8fDyZm5vTpEmThJzJDvfuTeXy8rVWUaoEL999U/GG6miShD8j7OzsEBERAQCwBuCt\noICRsrKQkZUFWCymX7mcHIjDQa6NDV7/+CN+OXYMMjIyWLNmDUaMGFGr2vXdu3eYMmUKuFwujh8/\nLpETSWVlJV6+fFlNnZ2fn1+ve+bbmQXVzuLszDo6OoiPj69R+iEiLF26FJGRkbh58yZatJBGp1Az\nOBwOnj59yth/o6Ki0KFDB8Ypq2/fvlJdb8aMGdDU1ISOjg5u3bqFe/fuoVOnToykbGtrWy+npMa2\n3zaEU1d9kJ+fjyNHjiAgIAAKCgrw8PDAlClToKqqWu9zc7lcjB8/HleuXAFL4NtrDMjJycHIyEhI\nXWxqasr8X1ZWFjNmzACLxcJff/0FIyOjWs/5/PlzDB8+HD///DM8PT1r/G2zs7NhZ2eHefPmYcGC\nBWL7paamokePHpgxYwYOHDiATZs2YerUqULnzsrKwpSOHXGhVy+ohIXx7L0Cz68UgAyAqwA2ycnh\nYmZmg2ozvgl85kXA/yxevHhBKioqQhLnrl27ePlUN24kzuTJlGxuTqcUFelK//50cf9+sra2Jisr\nK7pw4YLEksDVq1dJT0+PfH19pS7GXjX+dvjw4dSqVStq3rw5GRsbU9u2bally5b1XvWrqqqSnZ0d\nzZ8/nw4ePEhPnz6l9+/fk4qKSq33uX79+lrz+EpzvwkJCfTHH3/QmDFjSFNTk77//nuaN28enT9/\nvl5hQ1wul1q3bk0vX75k9vHr+Hp5eZGtrS21aNGC+vXrR76+vrWGQ/Hjb7ds2UKurq7UuXNnUlJS\nIktLS5o6dWqjxN8K4nNKyFwul0JDQ2ncuHGkqalJc+fOrVeGMxaLxTzDrl271vt9lpOTIxMTE+rf\nvz/16dOHmjdvTj/88ANduXKFUlJSJMqUxuFwaP369aSrq0sXLlyQ6D4yMzPJ0tKS3N3da/3W3759\nS4aGhnT06FGxffLz88nW1pYUFBSEimVUxcaNG8nR0ZGZu8jVlWjkSOJOmULrW7YkbYFns3btWonu\n5X8JTZLwZwCLxYKNjQ0mTZoEf39/jBkzBjExMXj48CHk5eVx//59uLu7Q1NTE+PHj8eBAwdQVlYG\nHx8fjBkzRiKpo6KiAitWrMCpU6dw/PjxGj0dAYDNZtfZfpuTk4OYmBgMGTIEkyZNwtOnT+ttZ5aX\nl4e8vDwmTpwo5BAkKPXs3bsXGzZsQEREBAwMDOp0nZSUFISGhjLSrqKiIgYNGsSEDenr69f5HgSR\nkJCAkSNH4s2bN2KllOLiYoSHhzM25qSkJPTp0wfdu3eHtrY28vPzERsbi5iYGOTk5MDKykrIc93c\n3ByKiooNMl5pIEpCdnFxQa9evRpdQs7MzMS+ffuwd+9edOjQAR4eHhgzZoyQ41F5eTnS0tLEOkpl\nZ2dDTk4ONjY2yM3NRXx8fI3XFCXJCm6tW7cWssl++PABnp6euH79OrZu3QpnZ2eJtRD37t3DpEmT\n4OjoiI0bN9bqS1BYWIixY8eiRYsWOHHiRI2alefPn2PgwIE4cOAARowYIdT24MEDTJw4EcOHDwcA\nZGRkIDg4WOS4y8vL0blzZ+zatQsODg5Cbdu2bcOiRYuYvw0MDJCSkgIFBYVa7/1/BU0k3Bh4/x44\ndAiIiwMKCgB1dcDSEpg+HdDRgbu7O/Ly8qCkpAQ9PT1s2LABbDYbRUVFWL58Of7++2/89NNPuH37\nNoqLi+Hj44Nx48ZJPKElJydjwoQJ0NfXx59//gktLS2h9pKSEsTFxQkR7vPnz2FkZFSNcAXjb2uD\noHd0aWkp4uLihNTZz549Q1kNcdGSwMzMDF27doW8vDyuX7+Oy5cvo3fv3hIfn5WVxXgz37p1C6Wl\npUIezI0VNrRlyxa8fv0aQUFBYvtwOBy8fv2aeV4PHz7E06dPwWazISsrCw6HA0tLSzg4OGDChAno\n1KnTJ/EAlwafg5DLy8vx5s0bnDhxAqdPn0ZmZiYTbvPu3Tvk5OTA0NBQJGHevn0bR44cQWRkJFq1\naoXdu3dj4cKFQiSrra2NuLg4REVFYfz48fD19ZU6LhgAIiMj4e7uDj09PezatUviEKz8/Hy4ubkh\nOTkZp06dqvW4iooKzJw5E0lJSfj777+hra0ttu+DBw/g6OiIc+fOwc7ODlwuF1u2bMHmzZsRFBQE\nJycnVFRUwNbWFlOmTMHChQtFnufvv//GsmXLEBcXJ0Sw+fn5aN26NUoFIkBOnToFFxcX4RPUMmd+\n0/iscvi3hocPeXU2lZSqV0hSViZSUqL0Hj1oTOvWFBoaSgYGBlRYWEgcDocOHjxIrVq1otGjR1PP\nnj2pY8eOdOLECalVyCdOnCBtbW3asWMHcblcpv6tv78/TZgwQaj+7cyZM2nXrl0S1b+VBLW9Tmw2\nm549e0ZHjx6lRYsW0YABA0hDQ6Pe6j89PT0aNmwYrVixgs6cOUOvX79m1KJ5eXkUHBzMlD/U0NCg\n0aNH044dOyg+Pv6TVRsaMmQIBQcHM3/z69/u3buX3N3dReZPvnz5slD+5IyMDDp69ChNnz6d2rRp\nQ/r6+jR58mQ6ePCg1OXyPgVEqayjoqKkVlmXlZXR69evKSQkhPbt20crV66kyZMnk62tLbVu3Zqa\nNWtGpqamNGDAAJo+fTrNmzePBg8eTCoqKuTg4EDXr18X+TsfO3aMDA0NhYpLsFgsserid+/e0YIF\nC0hTU5OWLFkilZMhHxUVFbRlyxbS0tIiLy8viQs6cLlcCgwMJG1tbTp8+LBE/T09Pal9+/ZiC7zw\ncePGDdLR0aHQ0FBycHCgPn36VHufkpOTSUdHp1qxF8HrOTg40Pbt26u1zZkzR+h77du37/83SjBn\nkpMTr983iiYSbigEBBA1by6Rl2ClkhJtMDGhQ4cOUVxcHPXt25c6duxIXbp0oQ4dOtDx48elJt+i\noiJycXEhfX19mjlzJo0cOVKo/u3ChQvp0KFDFBsbW6f6t5KgLms6LpdLKSkpFBwcTKtXryZHR0cy\nMjKqNzE3a9aMVFRUSEFBgaytrWnDhg308OFDqZ9rQyAjI4OUlJRo3bp1DWa/5XK5lJSURHv27KHx\n48eTjo4OtWvXjmbNmiW1F/qnQE2EXF5eLhXJ1uYtzEdRUREFBQWRhYUFfffdd7R9+3bGI/3KlSvU\nqlWrOtmSMzIyaO7cudSyZUv67bff6MOHD1KfIz09nZydnalt27Z09epViY+Li4ujTp06kaurq0QL\n5927d5O+vr5Y8uTDy8uLZGVlyd3dXezzPH36NLVt21bse/r8+XPS1tam91XqBD979qza9/n06VOJ\n50ySkeH1+0Y9q5tIuCHAf5lqepGqbKWysnRm0CDS0NCg9u3bU9u2benIkSMSOW1UVFRQXFwckz/Z\n2tqaZGVlSVlZmRwcHGjVqlV09uxZSk5O/qR1ZRtSsdKnTx/y9/enjRs30qRJk6hTp04kKytbJ0Le\n+Ily1HK5XEpPTxfKn2xiYkLKysqkpqbG5E9+/PhxtXCmhrh2XFwcbd++nRwdHUldXZ06d+5MCxcu\npIsXLzaag5YkKC8vp6SkJLp58ybt37+fZs+eTRYWFqSsrExycnIkJydHBgYGUpOspOByuRQREUET\nJ04kDQ0NGjlyJGloaNTobCQJ0tLSaM6cOdSyZUtasWJFnZwD//nnHzIzM6OxY8dSWlqaRMcUFxfT\nzJkzqUOHDhKVbQwODiZtbW2RZM9ms2nFihVkYGBAv/76K5mYmFBGRobYc7m7u5Ozs7PYeWXhwoU0\nZ86cavsHDBgg9E2e7N9f6jnzWyXiJhKuLx4+FPkyTQZIDyBVgNoDtE/ES1UC0IhWrejPP/8UO9EU\nFxdTVFQU7d69m9zc3Mja2pqUlZWpQ4cO5OLiQmPGjCF1dXX6448/PvGNV0dDkrChoaGQSuzt27dk\nYGBA3t7e5OnpSb169SI1NTWJSNjAwIBcXFzIz8+Prl27RllZWfUeX2VlJb148UKi+Nv58+fTunXr\n6n1NacBms+nBgwfk5+fHqGZ79uxJnp6eFBISQiUlJQ12raoku2rVKpoyZQr17duXDA0NqVmzZoy3\n8LRp04RINiQkhLy8vOqtspYUoaGh1KJFC9LR0SEbGxs6evRonSoiCSIlJYVmzZpFWlpatGrVKqm9\n6FksFvn4+JCWlhZt2rRJYk3ViRMnSEdHhzE91YTIyEhq1aoVHThwQGjcffr0IQcHB0Zzsn79ejI3\nNxe7oGCxWGRlZUWBgYEi23Nzc0lXV7daIZjz588TANLU1CTfkSOJpaxMMwBqA5AKQF0AuvrfvHgP\noMEAaQKkDdCPAL0TJOJapPqvDU2OWfWFmPzPCQDMwEts/hJAfwBXwIsH5oMrIwOMHg3Z4GAAPC/K\nqnG5aWlp6NSpk5DDlKWlJSorKxlnjZMnT0qUkL6x0VAFHFgsFjQ1NVFSUgJZWVlERERg7NixMDAw\nQHp6OvT09Bhnqr59+wrlneZ7defl5THnCw8PR0pKitCzVVJSEvIs7tq1K0xNTUU6D5WVlSE+Pl7o\nGoLxt4LnERV/27FjRxw/fhzW1tbVzv2pUFZWhvv37zOe17GxsejevTsT89yzZ0+xHqsVFRVIT0+v\nMQ2jgYGBxN7C4tDYTl1JSUno168ftm/fjrFjx+LKlSsICAjAkydPMGPGDPz888/1csx7+/Yt1q1b\nhwsXLmDevHn45ZdfoKGhIdX45s2bh4yMDAQGBsLOzq7WY2pzwhTEq1evMGzYMEydOhWdO3eGh4cH\nli5dikWLFjHPl4iwbNkyhIeH4+bNmyLztCcmJsLW1hY3b96ElZVVtfagoCCcOnUKt27dYr6FyspK\nPH36FEVFReCOGQOboiJsBjANQBvw4ognAngG4AWAYgAO4BWFmAfgHYB/gG8z7/TnXQN85cjOru5M\nIGJ7+Z9UfEpEW4WcHE0aMkQq+21UVBSZmJjQ/Pnz672Kb0g01OsUEhJCrVq1osmTJ5Oenh5TfvHY\nsWOUmZlZ6/GCdmZ/f/8a2729vWnUqFFkZGREampqZGNjQ05OTjRhwgQaMWIEmZubV7Pf3rlzR2L1\n7tu3b0lHR+eT1/GtDYWFhXTlyhVavHgxWVlZUYsWLahnz57k7OxMbm5uNHnyZLGSrI+PDx06dIju\n3LkjcdyrtGgopy4+MjMzydTUVGR96MTERFq8eDFpaWnRiBEj6MqVK/XyHUhKSqJp06aRtrY2rVmz\nRqpyhVwul86cOUOGhoY0depUiWz75eXltHjxYjIyMqK7d+/W2Pft27ekra1NqqqqFBkZKXYMM2bM\noCFDhog1mxw7dow6dOhAhYWF1doqKyvJ0tKSzp49W/3cWVlUJsYGbAFe2cOq+x//Jy0z+5SUeDHJ\n3wiaSLg+EFETWHBzB6+INQDqiur1NgmgMllZujVsGEVHR9c6wdQlgP9Toq4knJWVRSdOnCA3Nzdq\n27Ytqaurk76+Pu3atYu6d+9O8+bNa3DbdlX7rZOTE7Vp04aUlZXJ2NiY2rdvT/r6+qSoqEhWVlY0\nY8YM+uOPPyg8PFzkxCMOQUFBNHny5AYdu7SoqKig5ORkCg0NpQMHDpCXlxe5urqSnZ0dGRkZUbNm\nzahNmzZkbm5O3333HWlpaVGLFi3I3t6e1qxZQ8+ePfukvgVVUV9C/vjxI5mbm5Ofn1+N/UpLS+ng\nwYNkbW1Npqam5O/vXyenKz4SExPJ1dWVdHR0aN26dVK9N4WFhbR48WLS0dGhoKAgie6V72wmLjHP\nixcvyNLSksaOHUsDBw6k4cOHi3XuYrPZ5OTkRM7OziLPxeVyydXVlcaMGUOxsbEUFhZGly5doiNH\njtDOnTtp+vTppKamRlOnTqVx48bRoEGDyNramta3bClUi5i/ZQGkCNALEW3bIFCHGPjmahE3qaPr\ngylTgOPHa+zCAXAPwB0AvwEQpfA7AmAqgBYtWohV6SkrK+OXX35BWVmZxKnsPjUkVUfn5+fj7t27\nTIKM9PR09OvXj1GN3rhxA2/evEFKSgo0NTVx+PDheqkjq8bfSlP/trS0lEkFyd8SEhLQunXraseK\nSsfn5OSEcePGYcqUKXUef21gs9k1qouzs7Ohr68v9t0yNDSspi7OzMxkfp/Q0FBwOBwmlnrgwIFo\n06ZNo91PTZBWZV1SUoLBgwfD1tYWmzZtkjiuOjo6GgEBAbhw4QIcHR0xd+5c9OzZs05x2a9evcKa\nNWsQEhKCxYsXY+7cuTWW4xTEs2fP4O7uDjabjcDAQHTr1q3G/vwUtUSEY8eOoXXr1iAiHDp0CMuW\nLcP69esxc+ZMJpY4Li4OO3bsgKysLPLz85mtoKAAOTk5OHv2LBQVFWFqalqtvS7JeI4AcK2yjw1g\nGIB24NUhFkQceKa8iwCElPOursCRI1Jf/0tEEwnXB46OwOXLEnWdA+B7AKIytV4CMFqCczRr1gzt\n27cXyjMruLVs2fKzJm8QR8KlpaWIjIxkJvQXL16gd+/ejF23W7duQiTg4eGBhw8fQk9PD8HBwVJl\n16mv/VYSVFZW4tWrV9XqH1e1M3fu3Bk2NjZITEyUKulJVdSXZFu3bl2vDEVEhOTkZOb3u3XrFtTV\n1RlCHjBgQL3ur67gE/Lp06dRVFTEVHviE3JFRQUcHR3RunVrHDhwoE6/9cePH3Ho0CEEBgZCXV0d\nHh4emDhxYp1yfD9//hxr1qzBnTt3sGTJEnh4eEh0Hi6Xi8OHD2P58uVwdnbG77//DhUVFRQWFgoR\nI3/Ly8vD5cuX8eDBA/To0QPJycnIzc2FkZERysrKUFBQgIKCggbx35AWlwA4Ct4bgEkACsEjWsG3\nNAlAPwAbUJ24MXIk8PffjTfQT4gmEq4PJJCE+XAD0ALADhFtfEm4vlBRURE7EX8KkuaTMJvNxsOH\nD5kJ+9GjR+jSpQsjSdnY2IhNr0hEMDExgYqKCqKjo2ucpPLy8hAbGytEuMnJyWjfvr1Q1q8uXbo0\nWv1bwXGnpaUJkfK9e/fw8eNH2NraCjmAderUSSitIpvNRkZGhliSzcrKalSSlRZcLhfx8fGMpBwW\nFoY2bdowv6+9vX2jP++qqErI48aNQ3x8PFRUVHD27Nl61yPmcrm4ceMGAgICEBUVBVdXV7i7u0uc\n9UoQ8fHx8Pb2RkREBNzc3DB8+HCGHEWRKn/7+PEj0tLSUFJS8lkItCEgKAkTgBkAUsBzzFIW6JcK\nHgF7gifAVEOTJNwEAMDGjYC3N1AlFeN7ALcAjATvxboJYCyAv1Bd4i2XlcUfOjrwLioSSu3WGGgs\nkuZyuYiJiYG1tTWGDh2KyMhImJmZMZKSnZ2dxOq3NWvWYN26dYiIiECPHj0A8AiOX/9W0MM5JycH\nlpaWQgT3ufIni8LKlStRUlKCoUOHIiwsDA8fPsTz58/x4cMHqKmpoVmzZigvL0dxcTH09PTEajgM\nDQ2/6Fy7lZWVePz4MbPoevDgAczNzRlNh62tLZSVlWs/UQMhPj4e06ZNw4sXL6CpqQkXFxchCbm+\nSElJwd69e7Fv3z506NABTk5OsLCwQFFRkVgCrUqwxcXFDXCnnxfNmzeHhoYGNDQ08OHDBygqKsLe\n3p7Zp6GhASUlJfj4+GDVqlWwtbWF6Zkz0Nq1C7JlZZgDIAa8+VFwdsgEYA8e+S4VdWFlZcDXF1gq\nsvWrQxMJ1wfv3wPGxtVI+AOAHwHEgqduMQZPDT1L1DmUlIC0NJC2Nj5+/IiUlBScOHECe/bsYSS4\n1NRUvH379pOS0hcF9QAAIABJREFUtChC0NTUZKTdV69eMZPunTt3oKuri5cvX+LcuXPo169fjaES\n4rBr1y5s27YN6enp2L9/P+Lj4xnSlcR++7kgTpI9f/48WrRogby8POjp6QlJrnJyciguLkZWVhZe\nv36NFy9eMHZmwfv8Gsu+lZWV4d69e4z6Oi4uDj169GAWZT169GjURcXKlStx/fp1xt+gJpV1ffDj\njz/i3FccKqOioiJEmADw6NEj2NjYwNbWVqhNQ0MD+fn5cHd3x5YtWzBx4kSh37C4uBjW1tbw8vKq\n5v9w/PhxbN++HQ8ePIBsTg5gbIzUsjKYgBfCKaij2AOeGtoHPM2hIJhly39z5reSU7qJhOsLMXHC\nEkFGOOaNxWLh119/RUhICE6ePMlIggBPGszJyRGrskxJSWl0klZSUoKSkhJYLBYUFBTQqVMn9O7d\nG8OGDUPPnj2hpaUllZpM0H57+vRphIWFQU5ODmw2G6NHj24Q+21DoLKyskZ18b///itEsnytwsqV\nK/HkyROYmprWSjpV7cx8qV9JSana4kNcPPOXiqKiIoSHhzOLtjdv3qBv376M+trS0rLB7mfr1q3Y\nt28fwsLCoFNlkq7NhiyIioqKWtXDFy5cwPPnzxtk3HWBmpoaVFVVUVJSAhaLBVNTUyavgIODA7S0\ntIRINDs7GytWrEDv3r0ZG3dVJCUlYdiwYRg/fjzWrl1b7Zt7/Pgxhg0bhlOnTmHAgAFCbbGxsRg8\neDAiIiKE8hYQEWxtbTF79mxMmzatQefMbwFNJFxfREcD/fsDdSHA5s2Bu3eB7t3x/PlzjB8/Hp07\nd8aePXugpqYm1am+BJIGAAsLC5EqVQ0NDaSmpgqpk/n2Wx0dHTx8+BA7duyAhoYGdu3ahdDQ0EYf\nKx+SkGyrVq3EqvENDQ2FbLwAcOzYMZw7dw7B/yViqQsE7cyCqviCggJYWVnVaGf+kpGTk4M7d+4w\nkvLHjx/Rv39/RlLu0KFDnRZchw8fxurVqxEREQEdHZ0aSfT169eIjY1FYmIiKioqoKmpCUVFRZSX\nlyM/Px9sNpshL3V19WpSoYaGBu7cuVPn91RGRkbovIL/Lysrw+PHj5GTk4PRo0djxIgR0NHREeqj\npqYGOTk5ALz3d/r06Thx4gR69OiBkydPwtjYWOR1i4uLMW/ePDx48ACnTp2CpaVltT4fPnzAyJEj\n0alTJ+zbt6/aAvLOnTtwcXHB1atX0b17d6G2oKAgBAYG4v79+0ImiOjoaIwePRovX76E2qtXDTJn\nfitoIuGGQGAgsGSJdC9V8+bA5s2gOXNw4MABLF++HP7+/pg+fXqjSHxfAknLyclBQ0MDhoaG6Nix\nI7p164bKykps2rQJp06dwpAhQxAUFISnT59i7969DXbdxiDZ2uDq6gpbW1vMmSPSraRe4NdvFlzQ\npKSkoGPHjkLq7Kr1l79UZGRkCIVDcblc9OvXDz179oSlpSWUlZVrtK/m5+fj7du3SE5OhqamJi8r\nE5cLTU1NsQQqSH4FBQV49OgR7t69CxaLhXHjxmHixImwsbGpUULfvn07/vjjD5HXUFdXR05ODh48\neIDnz59j8ODBcHV1Rffu3aGhoQFVVdVapf/79+/D29sbiYmJWLVqFX766adqhJiRkYHJkyejWbNm\n2L9/P44dO4Zt27ZhyZIlWLRokdj39ujRo1i0aBF8fX3h7u5ebc4pKSnBhAkTUF5ejnPnzlV7jy5e\nvIg5c+bg9u3b6NixI7OfiDBhwgRoaWkhICBA6Jjp06dDV1cX/v7+9Zoz4e4u+TFfAZpIuKEQGAha\nsgTc0lLI1dRPRobnWLB5MwomTcLPP/+M58+f4+TJk/j+++8/1WhRWlqKqKgoRkWYkJAAa2trdO7c\nGYaGhpCRkalWCJ3FYjXqmPjOSrq6uhg8eLBIaVrUAqWyshKZmZliSfbdu3cNTrI1gcvlQl9fH/fv\n32+0+sRVIap+s2A886e0MxMRSktLJXJQErcBgKysLCorKyEvLw8dHR0YGRmhffv20NfXF5Ie09LS\nsGHDBuzduxd9+/ZlHILqspiVRmUtKTIzM7F//37s3bsXZmZm8PDwgJOTk8TvXGRkJLy9vfH27VvG\n5iovL49Lly5h9uzZWLhwIX777TdmfG/evMH8+fPx9u1bBAQEoH///iLPm5iYiAkTJsDU1BT79++H\npqamUHtlZSXmzp2L6OhoXLlyBfr6+kLthw4dgre3N8LDw4XixgsKCmBtbQ0/Pz+husH//vsvLCws\ncO/ePbRv354hYm5pKWp6siQjA5n/5sxvjYCBJhJuUIT6+0Nu40b0LSwEu7JSyOW+FICykhJkhg8H\nli9H9H8rRgcHB2zZsqXRvUf5YUN8iSM6OhpWVlaMCtDGxgZKSkpij2exWAgPD8edO3fw6NEjvHr1\nCu/evYOCggLk5eVRVlYGNpvdqPfQokULtGzZEs2bN4exsTEqKioYktXV1a1GrnznsoYm2drw5MkT\nTJw4Ea9evfpk1xQFaezMbdu2ZUiLiFBcXFwnAuX3UVBQqFECrUnNq66uzryL/HAo/mIxLCwMJiYm\njD1ZVVUVzs7OIm2U9UVDEzKbzcbFixcREBCAFy9ewM3NDbNnz5Y48U5YWBi8vb2Rnp6Odu3a4dWr\nV/jrr7/Qp0+fan2JCBcvXsTChQthb2+PzZs3i1x8lZeX47fffsOFCxdEnouIsG7dOhw4cADXrl0T\nknoBng1+7969CA8PF7LB823H9+7dQ7t27Zj9GzduRGRkJC5evMjb8egRCpcvR7ObN6GorAwZgYV+\nKQAZAGnm5vju0KFvSgUtiCYSbkD0798fEyZMwLYVKzCZzcavgwfj9oULqFRRwTstLVhs3gy7sWOx\nbds2+Pv7IzAwEOPGjWuUsXC5XMTGxjIqvoiICJiZmTFhI3Z2dmJVlbXF3/Inb8H4WyKCrKwsHjx4\nIFYibUhJeurUqXB1dYWJiQmMjIy+KHvo+vXrkZWVhR07REWFNz64XG61cBk+Oebl5SE1NRVJSUlI\nT09HVlYW8vLywGazmWdYUVEBRUVFtGzZUmoC5bc11u9RWVmJR48e4datW7h06RIePnwIMzMzODs7\nY+DAgejTp0+jLGgbmpBfvHiBwMBAHDt2DP369cPcuXMxcODAWs+VmJiIESNGIC8vDxoaGlizZg3G\njx/P2IeroqSkBGvWrMHBgwfh4+ODOXPmiOzLl6oXLFiA3377rVqfP//8E56enjh//jxsbW2F2gS9\n0QV9WXbu3IkjR44gMjKSCRssLy+Hubk5AgIC8MMPPzB9x9nbY5WhIbrKy+Pt06cIj49HHIDDALoP\nHYpr167V+Fy+ZjSRcAMhLi4Ow4YNw+DBg6GtrY1du3ahpKQECgoKaNasGTw9PfHhwwekpKQgLy8P\nJ06cgImJSYNdn4iQmJgoFDakra3NSAz9+/evFjbEj7+tWrmpavxtly5dYG5uXqOkDIjPmMVXF8fE\nxCAyMhJ79uxh4obz8vLAYrGkrsCkqKiI5s2bi5R8TUxMYGxsLLVzW0OhX79++O233zB8+PA6Hc/h\ncISyIUkjgebn56OwsBAtWrSQikABntr0zZs3ePXqFWJjY6vZmfkVvL4EO3N6ejr69u2LlStXwszM\njNHwxMXFoWfPnsx737179wYPh2pIQi4uLsZff/2F3bt3o6ysDO7u7pg6dWo11TDw/3bcNWvW4Oef\nf8bt27exevVq5OXlYfXq1XBxcRF7/YSEBHh4eKCkpASBgYFCkRd8ZGRkYNKkSWjWrBmOHTsGPT09\nofbr169jypQp2LNnD8aOHcvsJyK4u7sjMTERV69eZeYJIsLYsWNhbGyM7du3M/0vXbqE5cuXIyYm\nhvltLl68iA0bNuDevXt48+YNnJycICcnB2tra+zateuLif1vDDSRcANh9uzZkJWVxaVLl3Dx4kVM\nnjwZiYmJkJGRgbGxMaZOnQo/Pz8sWbIEa9asaZCJIS0tTSiVoJycHKNeHjhwIFq3bs30FcyfLEi6\nMjIyQpNs165d0a5dO7Era1HgcDjIzMyEsbExDh8+XE0CzszMhI6ODtq0aYPXr1+jXbt2mDlzJtq2\nbctIsgoKCoiLi8PAgQMREBAgUpIuE4jHzszMRLNmzZi2t2/fVuuvpKQk1g5sYmLSKGRSWFgIAwMD\nPH/+HGw2W2oC5SdyUFVVrZMUWtVztj74kuzMgsjJyYGdnR3c3NywePFiobbCwkKhcKi3b9/Czs6O\nIWULC4sGDe8SJOTi4mL8+OOPdSJkIkJUVBQCAgJw9epVjBs3Dh4eHujWrRuKi4sxd+5cPHz4sJpH\nMxEhJCQE3t7eKCoqgre3N8aNGyfy2vx80suWLYOTkxPWrVsn0g78+++/Y+/evfjzzz/h4OAg1P7k\nyRM4Ojpi+fLlmDdvHrOfw+Fg0qRJqKiowJkzZ5gMZXl5eejatSu2b9+OMWPGMONwcHCAo6Mj5s+f\nzxzfrl07nD17lvG4vnz5MrZu3Ypbt25J/By/RjSRsLR4/x44dAiIiwMKCgB1dZSamcFy2zaom5lh\n3rx50NHRwe7du3Ht2jXIyMjAxMQEhYWFYLPZeP78OQwNDet46fe4ffs2s+rPz88XSqrfrl07yMjI\nVMufHBMTg2fPnkFXV7dO+ZP5JCtOzcwn2czMTEyePLka2RkZGUFGRqbWPL5hYWFYvnw5IiMjq7UR\nEd6/f88Qbk2rfn7/2rzBxZF069atoampCQ6HIxV55ufnIycnB2VlZdDU1KwTgaqrq0NVVbVBSLQx\nUFlZiZcvX1bTnigrK1cjZkE7c0OhqKgIAwcOxJAhQ+Dn51dr/5ycHOabCQ0NRW5uLgYMGMB8M+3b\nt2+wMSYkJOD06dM4c+ZMvQj5/fv3OHDgAIKCgqCmpoacnBw4ODhg9+7daNGiagoLHogI//zzD7y9\nvVFWVgYfHx+MGTNG5HXz8vKwcuVKBAcHw9/fH66urtWewZ07d+Dq6opJkybh999/FxIa3r59i6FD\nh2LMmDFYv349cw1xubrv37+P0aNH4+HDh0zoVEJCAgYMGIDnz59DW1sbAM9enJCQgMOHDwPgaQn0\n9fXx77//8jRnIuZeWFoC06d/1Yk7mkhYUkRHA+vXA3zbhIBUxpaXB5fDQaS6Ovr/8w923ruHpKQk\nLFu2DMbGxjA0NISHhwdiY2Pxww8/YMaMGRJdsqCgAGFhYcwEkpaWBnt7e0bS7dy5MwoLC4UmxJiY\nGCQlJdVov60KDoeDd+/eiZUq+SQrTqI0MjKCoqKiWJUyh8PB5MmTUV5eLrRKroo///wTt2/fxpF6\n5oQtLy+XSALNzs5GdnY2cnJyGAm0rKwMHA4HAM87V0lJiVHtamlpoVWrVjA0NISxsTH09PSqEaiv\nry86duyIpd9ISj1JQETVYsCfPn2KwsJCJnc3n6C///77OmuBysrKMGLECJiZmSEoKKhO5Jmeno7b\nt28jNDQUoaGhkJGRYb6nQYMG1XmBXBX1JWQiwh9//AEvLy+YmJjg33//xfTp0/Hzzz+jbdu2NR53\n5coVeHt7g8vlwsfHB6NGjRL5rKKjo+Hu7o4WLVogICAA5ubmQu05OTmYNm0acnJycOLECSFP/5yc\nHIwaNQqmpqY4ePAgoy4WV7Vq8+bNOHfuHMLCwpjff8GCBeBwONi9ezcAXrEMMzMzJCYmMk5eAwcO\nhM/IkbCPiBA590JZmZf0Y9gwYPlyQISa/UtHEwlLAn5MG4tVY5YXviv9yR49ENKuHS5fvoz3799j\nw4YNyM7OhqWlJa5du4ZTp06JPJ7FYlULG+rVqxczSejp6VWrECSJ/bYqyVbdMjIyoK2tLda+yifZ\n2iCKhIkIHh4eePXqlZC9SBRWrlwJRUVFLFu2TGoJVHDjcDhSS6CCffjShqAkLUrdXdUmbWxsjN9/\n/x1BQUEYPHjwF2E7/ZzgxzMLLhDrameurKyEi4sL5OXlceLEiQbRFBARXr9+zWiWbt++DU1NTUZK\n7t+/f7WsW3WBtIScm5uLGTNmICMjAydPnoSZmRmSkpIQFBSEw4cPo2fPnvDw8MDQoUPFPgciwqVL\nl+Dj4wNZWVn4+vpixIgR1ciYw+EgKCgIPj4+mDlzJry8vISkbSLCjh074Ofnh927d8PZ2ZlpY7FY\nmDRpEgoKChAcHMws8nNzc2Fvb48pU6bA09MTAM9Z0NHREebm5ti4cSPTr1OnTggJCWFU7G5ubmjb\nti1WrFgBALju5IT+ly9DkcOpOcOWzP+Hfn5tYUxNJFwb6hBUXiojA+8WLTAuJAS9e/fGuXPncOjQ\nIQQFBcHCwgLv379n0jNGR0czkm50dDQsLS0xYMAAJmtQQkJCrfZbAFKTrODWpk2bBnF8kJGRAZfL\nBYvFYgiRH5Lg6elZq4SampoKLpcLGRmZaupcSdS4/P8rKys3eopLImIc7fhbTEwMzp8/D1NTU6Sm\nplYj6aqbpEUtviWUlJQw9Zn5BF3VzsxfTPLtzEQENzc3pKen4++//240Jx0ul4tnz54xi+Dw8HCY\nmpoyUrKdnV29nf1qI+SIiAhMnjwZzs7O8PPzq+ZlzmKxcOrUKQQEBODDhw+YM2cOZsyYIXaxwOVy\ncfHiRXh7e0NJSQm+vr4YOnRote8jKysLS5cuRVhYGHbs2IHRo0cL9Xn8+DEmTJiAgQMHYtu2bUx1\nMw6Hg4ULFyIsLAzXrl1j/FDevXuHvn37wtPTE7NnzwbAW5R17doVe/bsYZwWAwICcPbsWUYrERsb\ni5EjR+Lt27eQ37cPnEWLIFclN3+N+AoTejSRcE0QkZKyHIAHeJU/cgGYAfADryi1IDhKSpALD4dM\njx6IjY3FxIkT8ezZM3Ts2BFDhw5FcnIyIiIiYGpqCnNzc2hpaYHFYiEhIaGa/dbS0hIGBgZgsVh1\nIlkjI6NaPZv5ICKUlJTUSQJNSkpi4oY1NDTA5XJRUFCAPn36QFdXt1YCnTBhAnbu3Al7e/uG+PU+\nOXbu3InY2FgcOHBAJEnXJkkLaiGMjY3/Z0i6Njtzbm4uPn78iLNnz8LCwuKT5RBns9lMOFRoaCge\nPnwICwsLRlLu06ePxN+VKAgSclFREYyMjJCYmIhDhw5h5MiRtR4fHR2NwMBABAcHw9HRER4eHujV\nq5fI58PlcnH+/Hn4+PhARUUFvr6++OGHH0Tagj08PNC2bVvs3LlTSPVdWFgId3d3xMbG4tSpU4z6\nmoiwceNGxqmMvz8pKQn9+vXD9u3bGQk6PDwczs7OePToEQwNDVFZWYlu3brBx8eH8bi2t7eH9/Dh\nGLR2LaaUliIUQAkAPQDLwCsLex+AF4DHAOQA9AewE4A+8NWltmwi4ZogItF4CYBNAKYBaANeHcyJ\nAJ4BMBE4lGRkgDFjIBscjG3btmHx4sXQ0NAAm82Guro62rZty0zS7du3R4cOHaCvrw9VVVXIyMgg\nKyuLmazT09OhpaUlUlVclWS5XG61RAvSeOgWFBRAUVGxTmrc7777DmVlZVBUVGTy+FbNplMTNDU1\n8fr1a8ZR42vDiBEjMHXqVKEsQeIgjqT5au/U1FS0aNFC7MLqWydpvp159erV+Oeff9CtWzckJCQw\ndmZBf4f62JmlAYvFwr179xhJOT4+vlo4VF3qFr979w5OTk7Izs6GgoICysvLpbIh5+bm4tChQwgM\nDISqqio8PDwwceJEkU5cXC4XZ86cga+vLzQ1NeHr64tBgwYJkXFFRQW2bt2KzZs345dffsHSpUsZ\n7QMR4fDhw1i6dCn8/Pzg5ubGHHvs2DEsWrQIZ86cQb9+/QCA8YM5duwYhgwZAgBYt24dE1csLy+P\nW7duYebMmXjx4gWUlJRw+vRp6Hl4wD43FwlEMAOv2tJL8Mj2CnjlYosBOIBXhWkegHcA/gG+uiIP\nTSQsDmLKFIqCJQBvAFXTbpQBMAKgbGSEjIwMNGvWDNra2sjPz0fXrl1RXl6OnJwcZGZmMiRrbGwM\nfX19aGtrQ1NTE6qqqlBUVBSbBlBUjCi/zqc0BCr4d10nNL5N+NKlS0wcY9UMO+KQm5uLtm3bIi8v\n77NVS6oPysrKoKuri5SUFLRs2bLe5xP0Bhe1/S+Q9L59++Dn54eIiAhGzVnVzvz06VOkpqaiU6dO\nQg5gVlZWjX7/hYWFQo6TqampTDjUwIEDJQqHunr1KmbOnAkPDw+sWLECcnJydXbq4nK5CAkJQUBA\nACIiIuDq6gp3d3ehikZ8cDgcnDp1Cr6+vmjVqhXWrFlTLb1lamoqFi5ciBcvXmD37t0YPHgw0/by\n5UuMHz8eHTt2xN69exl7cGhoKCZOnIhdu3Yxi9GIiAiMHTsWf//9N3r16gUul4uhQ4eiV69eWLt2\nLQBg3LhxsLa2xooVK8DOzATH0BBVdQyvwCPhHQCqLnOfAOgHoIi/42sqd0hNEA1/fyIlJSKeHCx2\nywJIEaAXItpKAFoMEACSkZEhVVVVMjQ0JBkZGerUqRN16dKFunTpQp07dyZjY2NSV1cnWVlZUldX\nJ2NjY7K0tCR7e3saNWoU/fTTT7RgwQJavXo1bd26lQ4ePEjnzp2j0NBQevz4MSUnJ9PHjx+JzWZ/\ntkcGgG7fvk06OjoUHR0t1bEPHjygbt26NdLIGh8hISFkY2Pzya7H5XIpKyuL7t+/TydPnqQNGzbQ\nnDlzaOjQodSxY0dSUlIibW1t6t69O/3444+0ZMkS2rVrF12+fJkSEhKouLj4k421Ljhz5gzp6+tT\nYmJirX2Li4vp3r17FBAQQLNmzaIePXpQ8+bNqX379uTi4kLr16+nf/75h7Kyshp1zO/fv6dTp07R\nzz//TO3btydtbW1ydnamoKAgSkxMJC6Xy/QtLy+nxYsXk5GREYWFhYk9Z3x8PK1evZo6depERkZG\n9Ouvv1JUVBRxOJwax5KSkkIrVqygVq1a0eDBg+n8+fMi5wY2m01HjhwhMzMz6t+/P929e7dan0uX\nLpGxsTFNmDCB3r17x+xnsVg0d+5cMjU1pfv37zP7Y2JiyNDQkLZu3crsu3z5Munq6lJ8fDwREWVl\nZZGBgQGFhIQQEVFycjJpaWlRRkYGkb8/VcjLM/OoO0DK/82jXQEqEjHXbgOol+A+ZWWijRtrfEZf\nCpokYXGYMgU4frzGLmzwbMHtwCtGLQpHAEyV4HLKysrQ0NCoU3ypurr6F5FRRkZGBjo6OnXK43vi\nxAkEBwfj9OnTjTS6xsWSJUugqqoKb2/vzz0UAOIlaUF1t6qqao2StLiY1MZGSEgIJk+ejBs3bqBL\nly51Ogffzlw1Oc2nimcGeMl0BMOh5OTkMHDgQJibm+PYsWMwMTHBwYMHq2WyE4e6SMjl5eU4f/48\nkwBn9uzZcHNzq1aMobKyEseOHcPatWthamoKX19fofSUpaWlWLduHfbu3QsvLy94eHgwqvfg4GDM\nmTMHS5YsweLFiyErK4u0tDQMHTqUyY0vKyuL48ePw9PTE+Hh4TAxMcGtW7cwZcoUPHnyBHp6eli5\nciXS09Oxv6wMzc6cERofB8A9AHcA/AZAUFcXB56EfBGAneBBrq5APcMdPwWaSFgcHB2By5fFNnMB\nTAJQCN6PL06BewnA6AYfXHUoKSlJpXauutXHwQQAXr16hY4dOyI4OJjJjCMN1q5dCxaLJVEChi8R\nFhYW2LdvH2xsbD73UCQCl8utVd39OUj6wYMHcHR0xLlz52BnZ1f7AVKA/rMzVyXmT2Fnpv/Cofz9\n/XH8+HHIycmhdevWGDRoEJNWVhpfiLoQcmxsLAIDA3Hq1Cn88MMP8PDwgL29vdAChM1m4+jRo1i7\ndi06dOgAX19foXf65cuX8PDwQF5eHgIDA5m21NRUTJo0Caqqqjhy5Ah0dXWRl5eH0aNHQ09PD0eO\nHIGSkhJ27dqFHTt2ICIiAq1atYK3tzfu3r0LT09PhISE4I8//sA5NhuOYu57DoDvASz47+8k8NTQ\nGwC4Vu08ciTw998SP9PPhSYSFocaJGECMANACniOWTWli5dUEv7cUFRUlCoMSHArLi7GkCFDkJaW\nJlX+Z0FMmzYNdnZ2mDlzZgPfWeMjIyMDVlZWTOjZt4DPQdIJCQkYNGgQ9u/fL5F3cEPhU9iZS0pK\nsHDhQoSHh+PkyZOwsrJCXFycUIGVtm3bMvZke3t7iePMRRGyi4uLWE/pgoICHD16FAEBAZCVlYWH\nhwemTJkiFH5VUVGBw4cP4/fff4e5uTl8fX2ZfNNEhBMnTmDJkiVwdHTE+vXr0bJlS1RWVsLHxwd/\n/vknDh8+jMGDB6OsrAw//fQTsrOzceHCBWhqamL16tU4ceIEXFxcGK9zwXnjCEQQ6n9wA9ACPLtw\nKngE7AkeOVdDkyT8lWPjRsDbW6Rj1hwAMeCFKdX0SVYqKMCTzYaqjw9evnyJkJAQ2NvbIz8/H5GR\nkdDR0UFpaSkKCgrA5XIb6UY+DeTk5MDhcGBmZlYnadzBwQF+fn6MV+XXhIMHD+L69etik7B8i5CE\npNXU1GokaX6sKQCkpKTAzs4OGzZswOTJkz/jnfEgGM8smDfbyMhIiJi7du0KXV3dGs/17NkzjB8/\nHj169MDu3btFErm4nAH8cKjevXvXqq0iIiaXtSSETES4e/cuAgICcPPmTUyYMAHu7u6wsLBg+pSX\nl+PPP//EunXrYGVlBV9fX1hbWwPgkbmXlxdOnz6N9evXY+rUqZCVlUVoaCh++uknTJs2Db6+vgAA\nV1dXhISEQFdXF0lJSTWWPV0CwBc87+dbAEaCJ+jcBDAWwF8AugOwB28uFpmbTlkZ8PUFvoLMdU0k\nLA5ivKNTwQtFUgTPNZ6PPQCqTR1KStApK8MHInz8+BFt27ZFfn4+ZGRkMHfuXJiammLJkiVMWFFt\noUQ1tfNTLX7N0NDQECqfN378eCbQ/0uGi4sLhg0bhunTp3/uoXwx4HK5yM7OrpGk1dXVYWJiAj09\nPYSHh2NVbuCNAAAgAElEQVTw4MGYPn26SJL+EiBoZxZUaQvamfkqbX587Z49e+Dl5YUtW7bgp59+\nkvhaNWXPGzRoEKytrWsMh5KWkN+9e4d9+/Zh7969aNeuHTw8PDB27FgmWUh5eTn279+P9evXw9ra\nGj4+PujatSsAXlEHd3d3KCgoIDAwEO3atcPx48eZCk+VlZVSzU864M2zxQB+BBALnvnPGDw19Czw\nSNoHPKlYEMX8/3xF3tFNJFwTRMQJS4z/YtVkzp8HEYGI0LJlSyYO9tKlS9i5cydu3rxZ72HSfwk2\n6kPiNa1MPxfc3Nzg7e3NpJL8EkOXOBwOdHR08OzZM6GqVU2oGXySjo+Px6xZs9CuXTuYmZmJJGlJ\nJOnPhZrszM2aNYOMjAwWLVqEYcOG1cvOLCqPvJ2dHSMpd+7cWawtWBpCZrPZuHTpEgICApCQkAA3\nNzfMnj2bifUvKyvD3r17sWHDBtjY2ODXX38Fm83GzZs3cfLkSaSkpNTJJGViYoLy8nK8f/8ew4cP\nx4pHj9Dz339Rp3pXTXHC3xBEZMySGP9lbZHp0YN5Kbt3747du3ejV69eKCoqgoGBAbKysj6bFyof\nRAQWiyUxiefl5SE6OhqVlZVo3rw58vLyUFFR0eDjatWqFeTl5ZGfn4/y8nKoqanV2flMRUWlQUvY\n8XH//n3Mnj0bcXFxDX7ubx0sFgsODg6wsrLCzp07hchAEklaQ0OjRpJWVq7JW6PxcO/ePYwfPx7W\n1tbo2bMno9bm25kFHcDqameuWlGtoKAAAwYMYCRlfkW1qpCGkF+8eIGgoCAcO3YMdnZ2cHZ2RvPm\nzREXF4fIyEhERUWhpKQEsrKyUpvTZGVlYWNjAxcXF2zevBm5ublMJsFJkyZhhoUFmg8fjjots5oy\nZn1jqEPuaMH8pYJFDcaPH49Ro0YxNq8BAwZgyZIlGDFiRGOMvFFARJg1axbS0tKE8viWlZVBWVkZ\nL1++lFoa//jxo0gS37NnD6OOrlqbV9o6vaWlpVBTU6uz85mamppIEvfx8UFJSQk2bdrUuA/+GwOb\nzcbYsWOhpqaGo0ePSr1A4nK5Qlnlqm5paWmfnKS5XC42btyIbdu2Yd++fRg1apRQe0PamasiNTWV\nCYeqrbY4H+IIedy4cdDQ0GAk+8ePH+Phw4coKytjKosVFxeLGIV4qKurQ0VFBUSEoKAg6OvrY8iQ\nIeBwOOjXrx8SExMxefJkTJs2DT169EBwcDAKN25E/8uXoSSNqa0pd/Q3CgmrKHHBc8ZqtmMH8xII\nkjC/StDq1asBAP7+/sjMzMTOnTsb/RYaCsuWLUNYWBhu3rxZbQUvrpRhbdi0aRPS09OxatUqIeLs\n2LEjjIyMGmTclZWVKCwslDofNr+9qKgIqqqq1Yg6KioKdnZ2sLCwqJHI1dXVvxnP6fqCy+Vi6tSp\n+PjxIy5evNgoKSc/NUlnZWXB1dUV5eXlOH78uMTvLZvNxqtXr4SIOSYmRqydWRKTDBEhMTGRIeTb\nt29DR0eHkZL79+/PxCazWCw8e/YMT548wa1btxAVFYV3795BVlYWenp60NXVRUlJCZKSkqSSdpWV\nlWFnZwd5eXlERkZi4cKF8PT0xKFDh7B06VIoKCigR48eePv2LRwcHLB8+XL0798fCxcuhLGxMebN\nm4d79+4h0NISXoWFkGOzUePXIyPTVEXpm8ejR7x6wlevoqyiAkqCL+R/NS0famvjg5sbRggkbBAk\npoMHD+LOnTtMvdyYmBi4uLggMTHxk95KXbFx40YcPnwYYWFhIhMM1JWE58yZAwsLC8ydO7chhtko\n4HA4KCoqEiLo9PR0zJ49G7///nu1fN1ViVwwnagkcdsNmU70SwIR4ddff8WjR49w48aNz2bXlYSk\nNTU1xZJ0mzZtGJK+ceMGpk2bhlmzZsHLy6tO+aMFIWhnFrQ1C8Yz84lZEjszl8tFbGwsLl++jMuX\nLyM2NhbNmzeHrKwsiouL8d1336Fr167Q1NREUVERXr16hQcPHkjlJyInJwcbGxvY29sjJycHwcHB\nGDZsGLy8vKCkpIT58+cjKioKRARzc3Okp6fDxsYGGzZswNSpU6GhoYF169bhhx9+gL+/Px49eoTk\n5GRMmzYNu6ZNg0dhIYaDFx4q9Mbw6wkPH86rJ/yVqKAF0UTC0uLDB/h99x3m2dtDjcMBNDUBCwtg\n2jT0HDECO3bsQO/evZnugsQUFhaG5cuXIzIyEgDvYzMwMEBkZGSNhbq/BOzfvx9+fn4IDw8X64BU\nVxIePHgwli5dCgcHh/oO85Pi9OnTOHLkCC7XkNSFD1GFNaSVyKsmZJGWyKuWxfscWLt2Lc6ePYu7\nd+9CQ0Pjcw9HLLhcLv7991+xJJ2eng4NDQ3IyckhLy8PY8aMQb9+/USSdEPhw4cPDCHz/xVlZ7a0\ntEReXl41Z7G8vDxYWVnBysoKqqqqSEpKwpMnT5CamgoikkrSlZGRgbW1Nfr37w9VVVWEh4cjJiYG\n06dPx5w5c6CtrY2dO3di+/bt6NChA1JTU2FgYIB3797B1tYWfn5+2Lx5M27evIkjR45g165dSE1N\nhb+/P8aNG4e9e/di3bp1mDhxIlauXAkWiwVt8HIuWALooKODfABDly4Fpk37KrygxaGJhKVERUUF\nVFVVUVRUVG1Sa9myJV6+fClkzxEkpszMTHTr1g3Z2dlM+9SpU2FjYwP3L1iFcu7cOSxYsAB37txB\n+/btxfarKwmbmpoiJCQEZmZm9RnmJ8eMGTPQtWtXzJ8/v9GvxfeAl8YOXnVTUFCQOpOaYHt9s6oF\nBARg69atiIiIgJ6eXgM9mc+D5ORkODs7Q0lJCa6ursjNza1G0jVJ0sbGxvV+ngCviMTly5cREhKC\nx48fIyUlBUVFRZCTk4Ouri6+++479OnTB46OjlBXV2ecuW7fvo3c3FyprvX999/DysoKHA4HMTEx\nYLFYQk5db968QVBQEA4dOgRra2u0b98ely5dgoKCAj58+IAff/wRS5YswcmTJ7F7926sWLECBgYG\nWLBgATw9PZGVlYVLly5h3bp1mDNnDnbv3g13d3eR43RycsK9e/fw77//1vsZfm40kbCUeP36NRwc\nHPDmzRuh/bm5uTAxMUFBQYGQ3UaQmLhcLlRUVJCdnc1kw/nrr79w+vRpXLhw4dPdhBS4efMmJk2a\nJFEe37qQcEVFBdTU1FBUVPRVqVuJCIaGhrUuTL4UEBGTGKYuRJ6XlwdZWdk6pURVV1fHjRs3sGrV\nKoSHh8PU1PRzP4564cyZM5g7dy6WL1+OX375RWz93tok6ZYtW9ao7q5K0nz7raCaOj4+Hvr6+kIq\n6s6dO6OgoAAhISH4559/EBsbi/fv30v9baqpqUFOTg5lZWXo27cvRowYweS+lpGRYZy6Tp8+jZKS\nEjg7O8PJyQnx8fFYvXo1ysvL0bx5c/zyyy8YO3Ysk6Vr7NixmDhxIvz8/PD+/XusWrUKW7Zsgba2\nNvr06cMQ9Jo1a2Bra4vg4OBqYxs4cCCioqKQk5Pz2aNL6osmEpYS165dw9atWxESEiK0Pzo6GrNn\nz8bTp0+F9lclps6dO+P48eOwsrICwFMxmZmZ4cOHD1+EulAQDx8+xMiRIyXO41sXEk5MTMSwYcOQ\nnJxc12F+Fjx79gyjR49GcnLyFxm/3NAgIpSVldXJOz07Oxt5eXmQl5evU4ESfvvnjhVnsVj49ddf\nmZjY7vWwP3I4nBpJOi0tDaqqqsxinZ8HoE2bNrCysoKtrS169uwJS0tLJt1k1bClpKQkqcakpqaG\nPn36wMnJCUOGDGEWS9nZ2bhz5w7j6FVYWMh4XQ8aNAimpqaIi4uDj48Prl69CllZWYwePRq//vor\n5OTkEBQUhPPnz2PkyJGYMmUK7t69iz179sDZ2RmWlpbw8/PDkCFDoKqqiuDgYLi5uWHXrl2YNWsW\ntm3bhjIRWQt1dXWhpaWFkydPwtLSss6/w5eA+nkQ/K/g/Xvg0CEgLg4dY2Lwe0UFL63l9OmMLSI5\nOVkidWq7du2QlJTEkLCOjg46dOiAe/fufVEpG58/f45Ro0bh4MGDDZ5IXxDJyclo165do52/sXD9\n+nU4ODj8TxAwwFtgKSsrQ1lZuVoFnpoQGRmJMWPGICoqCl27dq01zCwzM1OsVF5RUVFrNbGaiFxF\nRaXOv1dCQgImTJgACwsLPHnyRCjPcl0gJycHQ0NDtG7dGm3atIGamho4HA5ycnLAZrOhpKSEdu3a\noU2bNmjZsiUUFBRQWlqK9PR0xsmKv6ABeJq4Dx8+SDUGDQ0N9O7dG6amplBSUsK7d+8QExODX375\npZqdecSIERg/fjwAXjgUn+i9vb3BZrPBZrOhr6+PY8eO4fvvv8eZM2cwffp0RkI+efIkEhISMG/e\nPKioqGDVqlVIT0+Hl5cXxo0bByLCqVOnMGnSJAQFBcHR0RH79u1DZWWlyLG3kpGBR3k5NObPB9TU\nAHV1wNJSaE7+WtAkCdeE6GieR/S1a7y/BVdkfK+8YcOA5cux7sYNFBUVYcOGDUKnqCodLl68GK1a\ntcKyZcuYfV5eXuBwOF9MBSF+cfL169dLlce3LpLwH3/8gRcvXiAgIEDaYX5WDB48GPPnz8fo0Z+i\nRtbXibi4OAwZMgRHjhxpEKe7ioqKasQtjUTOYrGkTviirq6O69evY9OmTfD398eMGTPqTOQcDocJ\nRxJ0sFJQUKgWJ9y2bdtqsdOCqSxDQ0Px+PFjqdJBKigowNLSEgMGDICTkxN69eolMmyupKQEcXFx\nQuPkxzPzidnS0hLp6enYvn07lJWV0bdvX2RkZODu3bvQ1dXFwIEDMWDAAOjr6+PGjRuMyvrHH3+E\nsbExbt26hYiICIwdOxZcLhcXLlyAg4MDEykiLy+PvLy8apEj3QGslJHBMPA8pZUE55sqczL+Kzjx\npaOJhMVBwthgfnzaYUtLVMyYgVmzZlVpFiamgIAAxMTEYO/evcy+iIgILFiwAE+ePGnw25AW2dnZ\nsLOzw7x587Dg/9g777Amsi6MvxGE0KWDKEXELoJid1FBFBQbir2tu2tde9dV7K7r2j7F3tcVFbvo\nggoqdlRQUVQEKYJKkabUkJzvj5BsQhIIkJDg8nueeXYzmblzZhjvm3vPPefMnFn+CQJURoRnz56N\nhg0bYt68eRU6T5Hk5ubCzMwMycnJVR4Rfa/ExsbC2dkZW7Zs4Y+gFA2LxRIbKy5JzNPT0xEVFYW8\nvDzUrVsXBQUF/Fjx8oRcQ0MDGRkZSE5ORlxcHKKjo/HmzRu+/1ZQdCUtUitd1OH+/fsVykynqqqK\nFi1aoFGjRjAwMACbzcaHDx8QHx+PpKQkGBkZlemTFqxRzmKx8ObNG4SHh8Pf3x83b95EYWEh9PT0\n0LFjR7Rt25a/MjsnJ4efOOTevXto3LgxXFxcYGtri8TERFy4cAG5ubno06cPiouLcfXqVTRt2hT1\n6tXDnTt30L59e0REREBdXR3Jycl8GyYD2AyACXxXMcO109HiqEiWLCIgLw/DwsKQKEUt2caNG+Ns\nqZymnTp1QlxcHFJSUmBqalpZq6tMdnY2PDw8MHLkyAoLcGWJiYlBz549q+VasuLWrVto165drQBL\n4NOnT+jduzeWL1+uNAIMcEeChoaGYmPcSxMWFoaRI0di9OjR+PPPP6GhoQE2my1WxJOSkvD69Wvc\nv38fiYmJSElJwdevX6GhocFfbFhUVIS8vDykpqbi4cOHePPmDQIDA0XEmzflHBsbi9evXyM/P1/q\n+2MwGGjbti3fX9utWzeJKTHZbDY+fvwo5Id++PAhP/9zaZG2srJCZmYmgoKCoK2tDT8/P3h6eiIx\nMZG/UOzIkSOIiIjAt2/f0KZNGzg6OmLo0KFQVVXF+/fvcerUKTx58gQODg7o3r078vPz8fDhQ6ir\nq0NHRwcJCQlgMpn4+vUrWCyWUFYungBLtQSrpE/G/Pncz0ouxLUj4dKU5Isek5eHYAC5AMwALAS3\nlmURgFEAnoBb6eMmgB4lp3I0NFAnNFQoYLz06DA2NhYuLi5ISEgQuuyQIUMwaNAgjB0rqZKmfMnP\nz4e7uzvs7e1F8vhKS2VGws2bN4e/vz9atWpV4espipkzZ8Lc3BxLlixRtClKR2ZmJpydnTFixAgs\nW7ZM0eZUGA6Hgy1btmDTpk3YvXs3vLy8+N8REZKSkoSyWwnG3wpOJ7do0UJkoSWHwxFK+JKZmYmo\nqCg8evQIz58/R3R0dIVEFwC0tbVRv3592Nraonnz5jA3Ny8za5u0iz95Ih0XF4dz587h1KlTYLFY\nsLCwwNevX5GcnCwk0jY2Nvz/19HRQXp6Ol69esWf0ubFM7du3Ro6OjrIyspCVFQUoqOj0apVK2hq\naiI2NhYFBQUwNTXFu3fv+M/CCcAtCAvwTgBHAEQCGFny/2KpAXmka0W4NCWVk14RoTG4JQvfgCu0\nVwC0BrAL3BfDG4Af/hVhYjDAKFW9o7QwFRcXQ0tLCzk5OULTPfv378ft27dx/Phxed6dWFgsFoYM\nGQIdHZ1K5fHlUVERZrPZ0NLSQkZGhlJUxJGWJk2a4NSpU/xSbrVwyc3NhZubGzp16oTNmzfXuEVr\nqampGD9+PLKzs3H8+HEUFBQIJbuoiP9WEh8+fOBPL4eEhAhNt0qDpaUlOnfuDAcHBzRt2pRf4ETa\neHF1dXWpFrLp6enhzZs38PPzA4PBwOLFizF8+HB+2JTgSDouLk5kdXdycjKMjY35wly/fn2oqKgg\nNzcXKSkpiImJwevXr2FhYQEzMzNwOBwkJycjPT0dFhYW+PTpE75+/QoAOAtgIISnoM8BqAMgCEA+\nyhBhhvJXVKoVYUEk1BB+C67QbgcwTGB/AwDH8a8IAxCpYylOmBo3boyAgAA0a9aMvy8xMRFOTk74\n/PmzXKr9SILD4WDChAlIT0+vch7fiopwYmIiOnfuXOGOSJG8f/8enTt3xqdPn6r176TsFBUVYeDA\ngTA1NcWhQ4dq1LPJz8/HoUOHsGzZMjRq1AiqqqqIioqqkP9WGm7cuAE3N7cKncNb5MQrxmBjY1Pp\nHzeCCV8kiXRmZiZevnyJsLAwsFgsmJqagsFgIDs7mx9mJs2KdB0dHbDZbHz79g05OTn48uULUlJS\n8OHDByQkJPBF2sTEBEwmE2w2m786XkVFBSwWC/n5+fzawpJyj/0GIAlliDCg9LWFa33Cghw5IvRx\nGrh/3HwAjgD6StMGg8FtZ8ECiYfY2toiNjZWSIQtLS1hZGSEiIgItGvXrqKWVwoiwty5c/H+/Xtc\nu3at2pNl1MTwJF5oUk0SGXnDZrMxfvx4qKmp4cCBA0r9bDIyMoRGtxEREYiOjgaDwYCLiwv69u3L\nLzEoS59/dnY2vnz5Uu4PVT09PfTo0YPv1+UlxpAFDAYD2tra0NbWRoMGDYS+IyJcu3YNPj4++Pbt\nG/bt2wcvLy+hvyWv5GlZI+7MzEzExcWJPSYzMxMA+IUzNDU1oaqqiuLiYnA4HKipqcHExASZmZn8\nqejx4K6CruKNl9snK5JaERbkxQuhUfAuADsAPADXJ6Eu/ixh8vOByMgyD2ncuLHY5BR9+vRBYGBg\ntYnwunXrcPPmTdy+fVsh08ExMTE1LlVlUFAQvL29FW2G0kBEmDFjBj59+oTAwMAqFy+QFeL8t8+e\nPUNGRgbff+vg4IBXr16hZ8+e+Ouvv2S6KDI/Px/37t3jTz2/evUKnTp1QoMGDfDhwwf+cbzwHt5o\n19HRsVqfIREhODgYK1asQGZmJlauXAlvb2+xP6QYDAY0NTWhqamJ+vXrV+p6gglfysvQFhISgg45\nOdAsLKzaTUrRJysS5fgXoyxkZ4vsUgHQDdxp590ApFozXPKLTxK8hB2lcXd3x7p166plQcvu3btx\n5MgR3L17V2GJ9GvaSLioqAg3b97E/v37FW2K0rBixQo8evQIN2/elEku5MrAi78t7b9VVVXlTyPz\nVjnz/Lfnz5/HlClTMH/+fMybN6/Ko3deOBHP1/v48WO0adMGLi4u+P3339G5c2cwmUysWrUK169f\n508vd+rUSWhtSHVy8+ZNrFixAqmpqfDx8cHw4cPlXm6TyWTCzMys3Gl9NpsNMzMz9OvWDQgOrvqF\ny+mTFUmtCAuipyfxq2IAUidW1Ncv8+vGjRsjWMyL5ezsjKFDhyI7Oxt6ZdhSWQ4ePIiPHz/C1tYW\n69atw507dxSaSD8mJqZGjSofPHgAOzs7GCupb6m62bZtG06fPo07d+5UW7iWYP5knujy8ifzfLfz\n5s2T6L8tKCjA/PnzcfXqVVy6dAkdO3aslB288oC8zFF3795Fo0aN4OLiggULFuCHH37gp5wUxMfH\nBz4CpU4Vwe3bt+Hj44Pk5GSsWLECI0eOVJoZDB7h4eEwNjaGpqz6p3L6ZEWiXE9e0djbA2fPIrWg\nACEAPMFdEHAD3FXQJ0oOK8S/fooiAAXgTlUzAG6QeOvWZV5G0khYQ0MDXbt2RUhICAYPHiyDG/qX\nc+fOYdKkSeBwONDQ0MDDhw8Vnki/po2EAwMD4e7urmgzlIJjx45hy5YtuHPnjlDVMFki6L/l/ff9\n+/f8+rcODg4YNWqU1P7bN2/eYPjw4WjatCnCw8MrNANERIiOjuZPL9+6dQuGhoZwdXXFjz/+iKNH\nj8LIyKgqtyt37t69Cx8fH8THx2P58uUYM2aM0okvD97aC5ibg86eBaPUYtniko1dshWAK2Zi70aK\nPlmhUC3/kpJCxGRSKkDOAOkBpANQK4D2cUPAiQCy4mqw0BbH+57JJEpN5Tcp7hHn5eWRuro6FRcX\ni3y3ZcsWmjRpkkxv68aNG6SmpiZk7y+//CLTaxCJv1dJcDgc0tbWpoyMDJnbIS8cHR0pNDRU0WYo\nnIsXL5KpqSlFRUXJpD0Oh0OJiYl08eJFWrlyJQ0cOJCsrKxIR0eHunXrRjNmzKBDhw5ReHg4FRYW\nVqr9w4cPk5GREe3bt484HI5U5yUmJtLhw4dp7NixZGFhQQ0aNKDx48fTsWPH6MOHDxW2Q1Hcv3+f\n3NzcyNramg4cOEBFRUWKNqlcunbtSoGBgUQpKcRWV+f3vbzNR0wf7FPqGJLQJysbtSJcmsGDiRgM\n8X/M8jYGg8jLS6g5ScJkYWFBcXFxIvujoqLIyspK6o6iPMLCwkhbW1voZa1Tpw6dP39eJu0LUhER\nTklJIQMDA5nbIC8+f/5Menp6NaIDkye3bt0iY2NjCgsLq9T5xcXFFBUVRX///TfNnz+fXF1dydDQ\nkExNTcnd3Z2WLFlCp0+fpnfv3hGbza6yvTk5OTR69Ghq2bIlRUZGlnlsamoqnTp1iiZNmkSNGzcm\nIyMjGjZsGO3Zs4eio6Nl9m+yunj06BG5u7uTpaUl7du3r1I/YBRBZmYmaWtrU15eHhERfe7ShdiV\n6Y8l9MnKhnLORSiSJUuAoCDpUlaWgphMMKTMosQLU7K2thba36xZM3A4HLx9+1YohKkyvH79Gh4e\nHkLp3wCub3jQoEFVaruq1LSp6GvXrsHFxaVG1TyWNREREfD29oafnx/aS5Ecn+e/FVwwVRH/bVV5\n+vQpRowYARcXF4SFhYlEAOTk5CA0NJS/mCo+Ph7Ozs5wcXHB9OnT0apVK6UOt5LE06dP4ePjg+fP\nn2PZsmW4cOGCwhZ/VYbg4GB07doVGhrc6OA73bqhf1gY1CVUVCoTDQ1un67E1Ipwadq35yb+ljZ3\ndAm5AL4tWgRTKdOj8cKUXF1dhfYzGAy4u7sjKCioSiKckJAANzc3fPnyRWj/5s2bMWHChEq3Kytq\nWnhSUFDQf9ofHB0djX79+mHPnj0i7yxQtv+WJ7gV8d9WBSLC9u3bsX79euzcuRPDhnFT7PCqEPH8\nui9fvkTHjh3h6uqKvXv3wsnJSWl9pNIQERGBlStX4unTp1iyZAnOnj1bo8SXB98fXMKD4mLoeHqi\nz7VrFRscaWpy+3IlTlkJoNYnLJFdu4g0Ncudmi4G6BtAUxkM6t27t8iUj6RHvG7dOlqwYIHY786c\nOUPu7u6VNj0lJYWaNGki4jNZunRppduUhoq8Tj4+PvTbb7/J0RrZwWazydjYmOLj4xVtikL48OED\nWVlZ0YEDB6Ty3x48eJDCw8OpoKCg2m1NS0sjT09P6tChA719+5bu379Pa9asoZ49e5KWlhZ17tyZ\nli1bRiEhIZSfn1/t9smDZ8+e0aBBg8jc3Jy2b99eo++Lw+FQw4YNhdYbDBgwgM6ePSt1n0wMBve4\nXbsUeCfSUyvCZfH4MdefwGQSaWgI/aHzSrYzALUDqGXLljRw4EAaPny40IIrScJ06tQp8pLgq8jM\nzCQdHR2+T6QiZGdnU9u2bUUEePLkyXL3aVVEhEePHk1HjhyRozWy48mTJ9SsWTNFm1HtFBcX0717\n96h+/frk7Ows0X8bHR0tE/9tVQkJCSETExPq0aMHeXh4kK6uLrVp04bmzp1LAQEBlJ2drWgTZUpk\nZCQNGTKEzMzMaMuWLZXqL5SNqKgoatiwoVBf1bJlS3r27Bn3Qxl9MmlocPd7eXGPqyHU3LmX6sDJ\niZv4Oy2Nm/YsMhLIzATVq4ffz53Drrw8pJccOsDWFidPnoSHhwd+/fVX7Nq1q8x0c5LClABuWjd7\ne3vcuXMHvXv3ltrcgoICDBgwQKQu8bBhw+Dr66tUCfVjY2MxZcoURZshFYGBgTIpSq/MiPPfRkZG\ngs1mw9raGn369JFJ/mRZQkR49+4dbty4AV9fX7x+/Rr169dHs2bN4OLigmPHjil92FBliIqKwqpV\nq3D79m3Mnz8fR48ehZaWVEX+lB5eGCCvr+JwOHj//v2/60ck9MnQ1+eGIU2YoLQ5oiWi6F8BNRUn\nJyehkebcuXOJ6N+RKG+qVdIjzszMJC0tLYmj09WrV/PblAYWi0UDBgwQGQGLmyKXFxV5nYyMjOjT\np+wlVDsAACAASURBVE9ytEZ2/PDDD/TPP/8o2gyZkZGRQcHBwbR582YaM2YMtWzZkjQ0NMjBwYEm\nTJhA27dvpxs3blD37t3p559/VqpVwR8+fKAjR47QuHHjqEGDBmRmZkYmJibUokULelyDRj+V4fXr\n1zRy5EgyMTGh33//nb5+/apok2ROnz596MyZM/zPSUlJZGpqqkCL5E+tCFeSnj17Comdr68v/zue\nT3br1q1lCpOhoaFEIQoLC6MWLVpIZQubzabx48eLCHCnTp3o27dvFbuxKiCtCGdnZ5f5A0SZyMrK\nIm1tbcrNzVW0KRWmtP920KBBUvlvi4uLaciQITRkyBCxsezVSWpqKp0+fZomT55MdnZ2ZGRkRN7e\n3rR7927as2cPmZiY0Pr16xVupzyJjo6mMWPGkLGxMa1bt45ycnIUbZJcyMvLI21tbcrMzOTvu337\nNnXt2lWBVsmf2unoSlJQKoOLYLiNiYkJrl+/jm7dupXZBm+FtLjpvbZt2yI1NRUfPnxAw4YNJbZB\nRPwpKUFatmyJK1euKOU0VWxsLBo1aqRU0+OSCAkJQefOnZW+3jGbzUZ0dLRIwQLB/MkjR47EH3/8\nAVtbW4mhN0SEyZMnIzs7GwEBAXLPJVwaXtgQLx1kXFwcfvjhB7i6umLq1Klo3bo1WCwWFi1ahAsX\nLuD8+fPo0qVLtdpYXcTGxmLNmjW4cuUKZs6cCV9f32pLD6oIQkND0aZNG6FMZjExMTUqlLEy1Ipw\nRUlNBY4cwdyICKgDyALwAkCTUrlJLS0tERQUhBYtWuDSpUsYMGCASFO8WOGuXbuKfKeiogI3Nzdc\nu3YNP/30k0RzNmzYgK1btwrts7a2xrVr12BgYFCZO5Q7NSk8SRlTVebn5+Ply5dCgvvy5UuYmZnx\nBXfevHlwcHCAubl5hdpesmQJIiMjERwcXC3hLQUFBUJhQ5GRkejYsSNcXFywe/duODk5CcVmv3v3\nDiNGjICVlRUiIiKgr8Q5gStLXFwc1q5di4sXL2LGjBl49+6dwoqsVCfiwgCF8gmU9L148YJbbEdP\nj5tq+Mcfa54fWBBFD8VrDGFh3GxaTCZxmEyhVXm5AHff4MHc4wQAQEZGRnTr1i2RJpcvX07Lly+X\neMkjR47Q0KFDJX6/e/dukSloExMTevfuXeXvswpI+zpt2LCB5s+fL2drqg6HwyErKyt6+fKlwmyQ\n5L9t06YN338bGhoqk5W/f/zxBzVv3pzS09NlYLl4WCwWPXjwgNauXUsuLi6kra1NnTp1omXLllFw\ncHCZK3z/+usvMjIyIl9f3xrhyqgo8fHx9Msvv5CBgQEtX768RqV0lQXNmzcXycQ2bNgw+mf1an7f\nS6X6Xv6KaDF9b02hVoSloQrxaQDoxo0bZGxsTE+fPhVq9ujRozRq1CiJl/348SPp6+sTi8US+e7k\nyZPEYDCEBFhXV5ciIiJkd98VRFoR/umnn2jPnj1ytqbqvH79mho0aFAtHX55/ttff/1VrvG3Bw4c\nICsrK5nnRGaz2fTs2TPasmUL9evXjx82NGfOHLp8+bJUPx6+fv1K48ePp6ZNm/4bqvIdkZiYSJMn\nTyYDAwNaunSpXH8EKSsJCQlkZGQkEuq23tKSipnM7y42WJBaES4PngBXJF+pwMvAE6Zz586RmZkZ\nvX37lt/03bt3qUOHDmVevk2bNnTv3j2hfYGBgVS3bl0hAWYymQovLiCtCPfo0YOuX78uZ2uqzrZt\n2+inn36Sebul8yf36tVLJP721KlT1RZ/e/bsWTI3Nxd6NysLh8Oh6Oho2r17N3l7e5ORkRHZ2dnR\n5MmT6fTp05RawUT6ERER1KRJE5o4cWK1LjKsDpKSkmj69OlkYGBAixYtorS0NEWbpDD27dtHI0eO\nFNrH2bWLciuaK7oGCnGtCJdFWBiRpibtKEnIoQbQ+FJ/9BsANQVIA6AeAMULvgyPHwsJ08GDB8nK\nyooSExOJiFsUwNDQsEwTFi1aRCtWrOB/vn//PmlqagoJsKqqKgUEBMjnGVQAaUW4QYMGYotXKBvu\n7u7k7+9fpTby8vIoLCyM9u7dS1OmTKGOHTuSlpYW2dra0tChQ2ndunV09epV+vjxo4ysrhi8WZrw\n8PBKt/Hhwwc6evQojR8/nho0aEAWFhY0btw4OnLkCP9drygcDod27NhBxsbG9Pfff1faNmUkOTmZ\nZsyYQfr6+jR//nxKSUlRtEkKZ8iQIXT06NF/d4SFUT6TSRMBsgRIGyAHgK6W9K/HAdIS2DRK+sIn\nAn1vTaFWhMuipKLSWYDOAzSllAinAaQL0GmA8gGaD1BHwekRLy8RYdq0aRM1a9aM0tLSiMPhkJaW\nltCS/NKEhITwR8uRkZGkr68v4gc+fvy4XB+DtEgjwmWVcVQmeOESFfHLZWRkUEhISLX4b2VBWFgY\nGRsbi12vUBZpaWnk7+9PU6ZMoSZNmpChoSENHTqUdu/eTW/fvq3y9P2XL19o0KBB1K5dO4Wtb5AH\nnz59otmzZ5O+vj7NmTOnxsTJyxsWi0X16tUTfh6DB9NXcMsTxgHEBuhyiRjHiRkBHwaoEUAcgb63\nplArwpIoqS0s+IdeVkqE9wLUWeDzN4CYAL3m7WMyyUiMMC1atIjat29POTk51KZNG3ry5IlEMwoL\nC0lXV5eePHlC5ubmIgL8v//9T55PoUJII8KvXr0iOzu7arCmagQFBVGXLl3Efifov121ahXff6ut\nrU1du3aVu/9WFkRFRZGpqSldunSp3GNzcnIoICCA5s6dS23atCFdXV3q168fbd68mSIiImQ6ZX7n\nzh2ytLSkOXPm1JjSe+WRkpJC8+bNI319fZo1a5bCZj2Ulbt375KDg8O/O8T0vbytNbipgkvv7wHQ\nSsF9Sl5DWJDaECVJHDlS7iGvALQR+KwFwLZkfzMAYDAwXsx5GzZswOTJkzF48GBYW1sjNjYW7dq1\nE3sNNTU1dOzYEf369UNKSorQdz4+PpgxY4Y0d6M0xMbG1ojwJF4ll9Lxt7y0jrz4WwcHB6nib5WJ\nhIQE9OnTB5s2bUL//v1Fvi8oKMCDBw/4Jf5evHiBDh06SAwbkgVsNhsbNmzAzp07cfDgQfTr10+m\n7SuC9PR0bNq0CQcOHMCoUaMQGRkJCwsLRZuldIikhZXQ96YAiAbQstT+BAChAA4J7mQwuO0sWCA7\nQ+VErQhL4sULoFRCjtJ8A1A6Ok0PwFfeh/x82INbnpCI+McwGAzs3r0bI0aMwPPnz/H27VuJ18jK\nykJUVJSIAP/666/w8fGR9m6UBmWuIywYf3v48GHUr18ff/zxh1D87Zw5c+Do6Fjh+FtlITU1Fb17\n98a8efMwduxYAEBxcTGePHnCT5Dx6NEjtGzZEq6urlizZg26dOnCr+0qDz5+/IixY8eCzWbj6dOn\nNV6ovnz5gs2bN2Pv3r0YPnw4nj17VmbCnf86QUFB2Lhx4787xPS9LACjAYxHyQBHgGMAfgBgI7gz\nP5+bV7oGUCvCksjOLvcQbQA5pfblANAR+CwpxF5FRQXHjx+Ho6Mjjh8/jt9++00kg1ReXh48PT2R\nnJwstH/UqFHYvn17jcg4VZqYmBjY2dkp2gxkZmYKFSvg1b9t0qQJmjRpgqKiIuzcuROOjo7Q09NT\ntLkyIScnBx4eHvD29kbPnj2xbds2BAcH486dO7CysoKLiwtmz56NH374odru+Z9//sHEiRMxdepU\nLFu2rNozdMmSzMxMbNmyBbt27cLQoUMRHh4OKysrRZul1KSnp+Pt27fCCYtK9b0cAGMBqAHYKaaN\nYwCWims8M1NWZsqVWhGWhBSdUEsAgskicwHEQni6JKuM89XV1fHHH39g1KhRWLx4sdCvQRaLBW9v\nb9y7d0/onL59++LIkSM1YtpTHLGxsdWagYqIkJSUJCK4GRkZsLe3h6OjI3r27Im5c+eiRYsWUFdX\nx8GDB6GiooIePXpUm53yhIjw6tUreHl5gcPhYN++fTh16hRcXV0xduxYHDx4ECYmJtVqU1FREZYu\nXYrTp0/j1KlTcHZ2rtbry5KsrCxs3boVvr6+GDRoEJ48eQIbG5vyT6wF169fR/fu3aGmpsbfx9bR\nAe+nGAH4Cdyp6KsASjtB7gH4CGCouMZrSDa1WhGWhL09t2RWQQGKARQDYJdsBeA+uMEAFgA4C6Af\ngNUA7PHvdEkeuCkty6J169bQ0tJCQEAADA0NsXDhQnA4HEyYMAFXr14VOtba2hr+/v4y98dVJ1VJ\nWclms/H27VvY2NiInR4V9N8Kim5F/beBgYE13ieZnJzMTwUZEhKCtLQ0mJmZYfny5ejVqxcsLS0V\nZtv79+8xYsQImJubIyIiAoaGhgqzpSpkZ2dj+/bt2LFjBzw9PfHo0SOldbUoK7y0sIWFhbh+/Tr8\n/f1hff48ljAYYBJhKoDXAG4AEOcQOQpgCIRnHwEAGhrc0oY1AQUvDFNeBFbo+ZRakYySfQTQ9ZI4\nYSZA3Ustn88DyKjkeEkUFxeTuro6vXv3jqytrWnfvn3066+/ilzPxsaGfvjhh2p8ABWnvNeJxWKR\nmpqaVCuG8/Ly6NGjR7Rnzx5+fK2GhgYBoFu3blF+fr5Q/G2nTp1E4m+vXLlS4ZWoLBaL9PX1a9wK\n1vT0dPL396epU6dS06ZNycDAgIYMGUI7d+6kQYMGUZ8+fZRitfHJkyfJ2NiYtm/fXmNTT+bk5NDa\ntWvJyMiIxo4dS9HR0Yo2qUaSl5dH9erVo8GDB5O+vj5169aNtm/fTh+fPSO2mhrFl/R96qVigo+X\n9K/5AOmBm6tBZCV1DVodXSvCZVESJ1yhjC0lW3HJUnqeiJZF06ZN6eXLlxQdHU3a2toiAmxra0sx\nMTGkra2t1DVEy7vP2NhYatiwocj+L1++UHBwMP355580evRoatmyJamoqIg8B95mZmYmEn97+/Zt\nysrKqvI93Lt3j+zt7avcjrzJycmhK1eu0Ny5c8nBwYF0dXWpb9++9Oeff/LDhjgcDs2ZM4e6dOmi\n8GxTubm59PPPP5OdnZ1I+taawtevX2nDhg1kbGxMo0aNojdv3ijapBpHQUEBXb58mcaNG0e6urrE\nZDJp+/btlJSUJHRcUocOxK5EvyuYo6GmUDsdXRZLlgBBQUBeXoVPLQCwQcpjedWU4uPj8e3bN6Hv\nzM3Ncf36ddjY2KB9+/a4desWPD09K2yPMhATE4MGDRrg0qVLQiE/CQkJFWrHyckJZ86ckUuVH3GV\nXJQBXtgQbwXz8+fP0b59e7i6usLX1xft27cXcVOsW7cON27cwO3btxVa0jIyMhLDhw+Hk5MTnj59\nCh0dkclDpSY3Nxe7du3Cn3/+iZ49e+LWrVto0aKFos2qMQhONV++fBktW7aEt7c3LCwskJOTg5kz\nZ4qcE9KxI4aHh0OtuLjiF9TQ4PbdNQVF/wpQeiqRO7pYXZ0mlxq9lcWMGTNo1KhRIiM+XV1dioyM\n5B+3ceNGmj59urzvuNII3mfp/Miurq6kpaUlcXQr7WZsbExTp06V2z106NCBgoOD5da+tLBYLHr4\n8CGtX7+eXF1dSVtbmzp27EhLliyh69evl1ltiIho165d1KhRI4VOq3M4HNqzZw8ZGRkJpySsIeTm\n5tLmzZvJ1NSUvL29FVpNq6YhOOIVnGoWHPH26NGDLl++LPb8SZMmUciwYZRfp05t7uhaSOoqSmwG\ng/vS7NolIh5lMWnSJJGKSOrq6qSvr09RUVH84549e0aNGzeW991WGJ7/FoCI/7YqW6NGjcjLy4vW\nrFlDAQEBlJycLFc/Ynp6Ounq6iokyxWbzaYXL17Q1q1bqX///qSnp0etW7emWbNm0aVLlyo01X7y\n5EmqX78+xcbGytHissnMzKShQ4eSg4NDjZu2zcvLo23btpG5uTl5eXnR8+fPFW1SjUAa4eWRk5ND\nWlpaEt1rrq6u9NNPP9FGGxviVLKCXU2hVoSl5fFjrp+ByeTWsBR8AUpqWrIGDKAfNDQoJydHRFAk\n5UoODQ0lNTU1oWPr1q1LgYGBdOzYMWrYsCHFx8cTEXdkYWZmRjExMdV550II+m95+ZHL8t9Ks6mq\nqpK9vT2NHz+etm7dSrdu3Sozn7a88PPzI09Pz2q5FofDoXfv3tHevXtp2LBhZGxsTLa2tjRp0iQ6\nefJkpZP6BwYGkomJiUKF48GDB2RtbU0zZsyg/Px8hdlRUfLz82nHjh1Uv359GjhwoELLgtYUCgsL\nKSAgQCrhFeTixYvk4uIi8XszMzMyNDSkhIQEqfpe8vKqUUUbBKn1CUuLkxM3ZCktjZsOLTKSGwyu\nr89dCj9hAlSNjaHWqxeuXbsmcrq3tzf+/vtvodCaZ8+ewdPTE0VFRfx9DAYDf/31Fz+NW0ZGBtzc\n3HD37l2YmJigT58+CAoKwrRp0+R6u1QSXysYW1sZ/21pNDQ0+NmnHBwc4OjoiJYtW4LJZMrI8srD\nS1UpL3hhQ7yNxWLB1dUVHh4e+OOPP6qc2OH+/fsYM2YMLly4AHt7exlZLT0cDgebNm3Cli1bsG/f\nPgwcOLDabagMhYWFOHToENavXw8HBwdcunRJYhrZWrgx3tevX8fp06eFfLzr16+XOttZWf/WUlJS\n8PnzZ5w9e5YbSmdpWW7fC+PSuQtrEIr+FfA9cfDgQWrZsqVIrV8ANHLkSOrcuTO/YHd0dDSZmJiI\nHCeu2P3y5cvJ0dGRsrKyyM/Pj/r37y9Tu8X5bw0NDWXiv+3duzctWrSI/Pz8iMlkKmSEKw0cDofM\nzc1lWrUnPT2dzpw5Q9OmTRMKG/L19aXXr1/LdGr9xYsXZGJiQv/884/M2qwInz9/Jjc3N+rWrVul\nyxdWN4WFhbR3716ytLQkDw8PevTokaJNUloqO+KVRKNGjcTO1nA4HHJ1dSU9Pb2qmlxjqBVhGeLq\n6ipRkNhsNi1cuJCaNm1K9+/fJ2tra5Fj5s6dK7ZdDodD06dPJ2dnZ/rw4QPp6upWOuZTXH1bWfhv\nbWxsCADff5uUlCQkMsnJyWRiYlIpm6uD58+fU6NGjarUxtevX+nq1as0b948cnR0JB0dHfLw8KBN\nmzZReHi4TKsNCRIbG0sWFhZ04sQJubRfHteuXSNzc3Navnw5sVgshdhQEYqKimj//v1kbW1NvXv3\npgcPHijaJKVE1sLL4927d2Rubi72R+j27dvJzs6OevXqVaVr1CRqRViGbNq0iTsCBLe28DGALpX8\nlzZuJEpNpd9//51UVVVFRKxhw4YUGBgosW02m00jR46kAQMGUPv27enmzZvl2pORkUHBwcFC9W1l\n5b8dN26ciP+2rImV0NBQ6ty5c4WfaXWxceNGmjZtWoXOKSgooJs3b9Ly5cupS5cupKWlRd27d6fV\nq1fT3bt3qaioSE7W/sunT5/I1taWfH195X6t0hQVFdHixYvJwsKCQkJCqv36FYXFYtGhQ4fIxsaG\nevXqRffu3VO0SUqHvIRXkB07dtCECROEd6akUOKMGXRaXZ3e2NnRoyZN+H3m906tCMuQdydO0Flw\nM2Xlll69p6FBHHV1CtHXJ6dSwjZ+/Hj6+eefydfXt8wRbmFhIbm7u5O9vT0tXLiQv1+wvu3KlSv5\n9W2rOrrV0tKiLl260PTp02n//v305MmTMhfalCXChw8fpjFjxlTuwVYDLi4udPHixTKPYbFY9OjR\nI1q/fj316tWLtLW1qUOHDrR48WK6fv065ebmVpO1XDIzM8ne3p5Wr15drdclIoqLi6NOnTqRh4cH\npSp5R8lisejo0aPUuHFj6tmzJ4WGhiraJKWiOoRXEE9PT/Lz8+N+CAsjGjyYOOrqlFd6BTRv0dXg\nwdzjvlNqRVhW7NpFHE1NKi4tvqW2YoC+Afw4YkdHR5o+fTrZ2tqSrq4uMRgMysjIkHiZnJwcsrOz\nIx0dHZo3b57c/Ldv3ryRuKJbEmWJ8LJly2jlypUVaq+6+Pr1K2lpaVFOTo7Qfg6HQy9evKBt27bR\ngAEDqF69etSqVSuaNWsWXbx4UaH+7dzcXOratSvNmjWr2tM/njlzhoyNjWnz5s1ym2KXBcXFxXT8\n+HFq0qQJOTs7SzV79F+huoWXR0FBAenq6nLXxpSEfnK+4/AjaagVYVlQiYQe3wDaYGVFlpaWZGxs\nLCSIj0uW2svTf8uLv718+bKI/7aylCXCI0aMoL/++qvK15AHly9fph49ehCHw6GYmBjat28fDR8+\nnExMTMjW1pZ++eUX8vPzo8+fPyvaVCLiTgN7eHjQ2LFjq1UE8/LyaMqUKWRra0thSjwyKS4uJj8/\nP2rWrBl17dqVbty4UWPzVMsSRQmvIMHBwdShQ4dK9ZnfqxDXinBVCQsj0tSk0QCZAaQDkB1A+0te\nnFcAtQOoXsnmWrKPAOJoaFDaP/+Qrq6ukEh269ZNJv5bFRUVat26tVj/rTwoS4SdnJyUcgFMcnIy\n9erVi9q1a0eWlpZkbm5Oo0ePpkOHDvHjs5UJNptNo0aNov79+1eLz5nHq1evqFWrVjRixAjKzs6u\ntutWBDabTadPn6YWLVpQp06dKCgo6D8vvsogvIIsXLiQ9vz0ExVoaNBEgCwB0gbIAaCrJf1iHM8d\nJrCtFhTiGhoPLIlaEa4qJUUeXgJUUPKivAbIFKAnAGWWvFSckqno7QC1xr8Ztu6bm5OOjo7M/LfT\npk2Tyn8rD8oSYX19faXwHX758oXOnj1L06ZNo2bNmpGBgQFpaWnR4sWLZR42JGsEV8mXl7ZSltc8\ncOAAGRkZ0cGDB5Xy+bDZbDpz5gy1bt2a2rdvT1evXlVKO6sLnvCOHz9eKYRXEHt7e0p3dqZv4Fai\niwOIDdDlEjGOExBhlrjRcA0rziANtSJcFQTKHQpub0pGxadK7WcBtBMgDYF9guUOK+K/dXZ2Jg0N\nDdqwYQMZGBhQQECAop+GRBH+8uUL6erqKqRj5IUNzZ8/n9q2bUs6Ojrk7u5OmzZtoqdPn9Lbt2/J\nzMysRnTaK1as4MeLVwdZWVk0YsQIat26tVD6VGWBw+HQ+fPnqU2bNtS2bVsKCAioEX9HeVBaeLt2\n7ao0wssjOTmZ7PT0iCOmz6SSwcmZ8kQYqFFlCqWhVoSrwsaNQiI8tURgAZAjQF8FXhw9gFQAYgC0\nRmB/LkDzyhDcsvy3LVq0oLCwMLp37x4ZGRkpPORCkgiHhYWRo6NjtdhQUFBAt27dohUrVlDXrl35\nYUOrVq2iO3fuiKw+9/X1pXHjxlWLbVWBFz9Z2XSWFSUsLIwaNWpEU6dOrbZRt7RwOBy6dOkStW3b\nlhwcHOjixYv/SfGtCcIryOHDh+lY69ZiBy6fwa0b/FpAhOsDZAHQBIDSBI/X0CD64w9F347MqBXh\nqjB6tNjVz3dKhLao1HffAPIFKKDU/qOlhLdu3bqko6NDJ0+eLHPhzdy5c2nNmjVERPTPP/+QiYkJ\nvXjxorruXgRJInzixAkaOnSoXK5ZXFxMYWFhtGHDBnJzcyNtbW1q3749LVq0iK5du1Zu2NCAAQMU\nluRCWv766y9q0KABxcXFyf1abDab/vzzTzI2NqYzZ87I/XoVgcPh0JUrV8jJyYns7e3p3LlzSr06\nWx7UNOEVZMSIEfSuUyeRPrMI3LUyk0o+fwXocclI+DNAQwDqXXo0PHasom9HZtSKcFXw9JS4km8y\nuP7f0vvZABkAlCKw72IZI+G6detSkyZNqHfv3jRp0iRav349nThxgu7fv08nTpygLl268M3x8/Mj\nCwsLhVXPkSTCa9asocWLF8vkGhwOhyIjI2n79u38sKGWLVvSzJkz6cKFCxVaeFZYWEi6urqUlpYm\nE9vkweXLl8nU1JRevXol92ulpqaSh4cHde7cuVoEX1o4HA4FBgZSx44dqWXLluTv7/+fEt+aLLxs\nNpuSk5MpNDSUtLW16aWNjUh/OBwgDzGDFt72qaQvzBbcX02FVqqD2gIOVUFPT+JXxQBixeznAMgD\nkAzApGRfVhmXYLFYiI6ORnR0tMRj7Ozs0KhRI1hbW6Ndu3bo3LkzDhw4ACcnJ5iamqJOnTrl3oo8\nSE5OxsqVKxEeHo727dvj5cuXaNWqVYXaICLExcUhODiYX/hAW1sbLi4uGDlyJPbt2wdTU9NK2Xf/\n/n00bdoURkZGlTpf3oSGhmLixIkICAiQexH5kJAQjBs3DuPGjcOqVatQt25duV5PGogIwcHBWLFi\nBbKysuDj4wNvb2+Fvc/VCa9Igr+/Py5duoQWLVpg2LBhWLdundRFEqoDDoeDz58/Iz4+XuyWmJiI\nevXqwcjICHXq1EFcRgZalpxLAH4CkALgKgBJbxxD4Hg++vpyuR9FUCvCVcHeHjh7FqkFBQgB4AlA\nA8ANAH4ATgC4DsAIgD2AXAC/AdAH0LykiTwAL6poRkxMDGJiYoT2DRgwAACgrq4OKysrWFtbi93k\nKdKvXr3CgQMHAADh4eF4+fIl7t69W+55nz594gtucHAwCgsL4erqCjc3N2zYsAHW1tYysS8wMFCu\nVZOqwrNnzzB06FCcOHECHTp0kNt1iouLsWrVKhw8eBBHjx6Fm5ub3K5VEW7evIkVK1YgLS0NK1as\nwPDhw6GioqJos+SKMgovh8NBSkoKX1Tj4uLEiqxgn9K2bVt4eXnB2toalpaW0NTUxOrVq/HgwQO8\nfvIE/ZhMMAoKMBXAa3D7Sw2Baz4CUA+AHYBMADMB9ADAH/JoaHCrJ30n1IpwVZgwAfDxAQPAbgBT\nwB3pWgHYBmAgAH8AMwAkgfuitQcQCIBXuI8B4KgcTSwsLCxzJC0o0jY2NmJFmsFgiD23PGJjhecC\nbG1txR6XkZGB27dv80e7nz9/Ro8ePeDi4oL58+ejWbNmlbahLIKCgrBz506Zt1tV3r17h759+2LX\nrl3o1auX3K6TmJiIUaNGQUtLCxEREZWeUZAlt2/fho+PD5KTk+Hj44ORI0d+1+KraOEtLbLi/lVe\nOgAAIABJREFURrJ6enrlimx5XLhwAe/fv8ef58+D0bcvEgDsBaAOwEzguL0A6gBYCiAVgC4AN3AH\nNXyIuH3vd0KtCFcFExPAwwPGFy7gNpHYQ7xLNnGwwZ2GSZeTedJQnkgzmcwKjaQZDAao5FmUHp03\nbtwYAJCbm4s7d+7wR7rR0dHo2rUrXF1d8ddff8HBwUHuHS9vCq1jx45yvU5FSU5ORu/evbFq1SoM\nHTpUbte5cOECJk+ejHnz5mH+/PkKn+K9e/cufHx8EB8fjxUrVmD06NFQVf0+u6fqFF5pRFZXV1fo\n37SDgwMGDRoEa2trWFlZSSWyZfHp0yc8f/4c27dvR8uePQEPD1hduMDvJ8QxUtIXDAbQt2/Nrh9c\nCgaV9SRqKZ/Hj4EePYC8vAqfmgugO4CnsrapGmEymSgoKBDa5+fnB2tra6xcuRJBQUH8/YMHD0Za\nWhoiIiLQrl07uLi4wNXVFR06dICamlq12n3s2DFcunQJZ86cqdbrlsWXL1/g7OyMcePGYdGiRXK5\nRkFBARYsWICAgAD4+fmhU6dOcrmOtDx48AA+Pj549+4dli9fjrFjxyqFP1rWiBNeb29vDBkyBA0a\nNKh0u0TEF9nSU8WSRFZwk4XIlkefPn3w4sULfPz4kTujVYU+E5qawO3bgJOTzO1UFN/nT83qpH17\n4M8/gfnzK/RSFaurY7W6Op7m5MjROPlTWoABYORI8b9jX716hW7duuHnn39Gs2bNYG1tDRMTE7lM\nNUsiMzMTKioqSucP/vbtG/r164d+/frJTYDfvn2L4cOHw87ODhEREahXr55criMNYWFh8PHxQVRU\nFH777TeMHz++2n+IyRtJwrt27VqphVdQZMVtCQkJZY5kLS0toaWlJec7lczp06fx4MEDLFu27N9/\n5yV9ZuHMmVAvLpa+MU1Nbl/7HQkwAAkxJbVUHF5C8gpUBMnNzaXFixcTg8GoUMas72ljMpnUrFkz\nmj59erX8mdauXUuqqqqkqqpKCxYsoOjo6Gq5blkUFBSQm5sbTZw4UW5JJ44cOUJGRka0d+9ehSa2\nePLkCfXr148aNmxIu3fvLrN0Z01EXDjRtm3b6MOHD2KP53A49OnTJ3rw4AH5+fnRhg0baPLkydSn\nTx9q2rQpMZlMMjY2pvbt25O3tzctWLCAfH196cqVK/Tq1Sv69u1bNd+h9MTExJCxsTGZmJjQ69ev\nhb47d+4cLTM0JI6GRoX6zO+RWhGWJY8fc/OaMpncrC6CLxKvNqaXl0gC8jdv3pC9vb3CBVHaTUND\ng3R0dEhVVVVmbXbv3p3S0tLkLhDdunUTuu6+ffvker3yKC4uJm9vbxo8eDCxWCyZt5+Tk0Njxoyh\nFi1aUGRkpMzbl5bw8HAaMGAAWVhY0M6dO6mgoEBhtsiasoT3exbZsigoKKB27drRkiVLyMrKSujf\ndVxcHBkbG9OjR48q3Wd+T9T6hOVBWhpw5AgQGQlkZnJj2lq35q7ok7CggIjQuHFjvH//vlpNlQdO\nTk5ITU1FYmKi1OcYGxujuLgYRUVFEv1X1tbWMDQ0rPT0dXZ2NgwNDcFms/n7EhISYGlpWan2qgoR\nYfLkyYiNjcWVK1fAZDLLP6kChIeHY8SIEejRowe2bdsmd9+fOJ4/f46VK1fi0aNHWLx4MSZNmiTz\n+1QEglPNFy9ehKWlJRwcHGBhYYHMzEyh6WJtbe0yfbKKnC6WF7Nnz0ZCQgK6deuG6Oho7N27FwD3\nuf3www8YPnw45s6d++8JlegzvxdqfcLywNgYWLCgQqcwGAw4Ozt/FyL85MkTkX22trYYMGAAioqK\n8OHDB/5Ckq9fvwIAli5ditmzZyM7OxsJCQlCfq/79+/z/78qIh0cHCwkwM2bN1eYAAPAsmXLEBER\ngZCQEJkKExHhf//7H9atW4cdO3Zg+PDhMmtbWl6+fImVK1fi3r17WLhwIU6cOAENDY3yT1QyiAip\nqamIj49HTEwMbty4gfv37yMuLg6qqqooLi6GtrY21NTUkJeXBxaLhVatWsHT05Mvstra2oq+jWrl\nwoULuHjxIsLDwzF8+HBMnTqV/93SpUthYmKCOXPmCJ9UiT7ze6FWhJUIW1tbGAMYD25yj3rgZtN6\nAeAIFBvKVKdOHWhoaCA/Px8cDqfC58fGxmLr1q3o2LEjHj58CIDbwWVlZSE+Pp4fo6qnpwd7e3vY\n29uLbac8kWaxWBIF+uLFi0Jtubu7V/g+qkphYSHU1dWxefNmnD9/Hnfu3IGOjo7M2k9PT8fEiRPx\n+fNnPHz4EI0aNZJZ29IQFRWFVatW4fbt21iwYAGOHTumkBG4tAiKrKRNTU0NdevWRU5ODkxMTNCp\nUycsXboUTk5O/0mRlUhqKjK3bgVr61aEOzlBZ+pUdLh9G667dwMAAgICcPr0aURERFTrYkxlp3Y6\nWll4/BhJ06fD8PFjEADBbisP3KQe/wDYAEB0nFn9MJlMvnAmJCRIfZ6TkxN8fHzg6OiI+vXry/wf\nY1ZWlohI80bdL168EIpN7N+/P7p37y4k1AYGBnLrIHbt2oU9e/bgxx9/xPbt23Hnzh00bNhQZu2H\nhoZi9OjRGDlyJNauXVutq43fvHmD1atXIzg4GPPmzcP06dOVYpqViJCWllamyGppaQm9Aw0aNEBm\nZiaePXuG0NBQmYUTfbc8fgxs2AC6ehWFRUVgCvwbK2AwwFRXR36PHhgcFoblly6ha9euCjRW+agV\nYWVg925g/nxQfj4YZfw52AAKAMwDN7OMvKhTp06lRrs8unTpgkePHglN/fLo3bs3ACAiIgIA4Ojo\nCEdHRzg4OMDR0RF2dnZySRzx5s0bNG/enP9ZTU0Na9euxcePH4U65OLi4jKnuysr0n5+fhg9ejSI\niB8iJatsWGw2G2vXrsWePXtw+PDhah3hv3v3DqtXr0ZgYCDmzp2LX3/9VaYj+/KQRmQ1NTXF/i1t\nbGz4I9mioiLcuHEDp0+flmkc73dPSd+F/HzucioJsAFw6tZF3e3bAYHp6VpqRVjx8F7iCsQY50L+\nQsyjbt26qFu3LvIqYJ+NjQ2+fPmCHIEY6D59+uDt27f8BBFEhI8fPyIiIgLPnj1DREQEIiIikJaW\nBnt7e74oOzo6olWrVlBXV6/SfWzbtk3ID9WnTx8EBgaKHCdpJC1OpMWl+dTX1xcR6atXr2LgwIEo\nFoiJtLW1xevXr6ucmCI5ORmjR4+GiooKjh8/DnNz8yq1Jy2xsbFYs2YNrly5glmzZmHmzJnQ1dWV\n+XXKE9mEhARoaGiUufBJ0o+CWuGtIpXou/ixvrVCzKdWhBXJ48co7N4d0/LzcQNABoDGANYD8Cg5\n5ACA3wF8BtANwCEA9aGYbFsaGhowMTFBZmamkMCWxs7ODu/evRM679u3b1KNcLOysvD8+XO+KEdE\nRCAmJgaNGzfmi7KjoyPatGlToWQTHh4eQqK7detWzJ49W+rzBe1LSEgQm50oLi4ORCQkAkSEffv2\noaioiN+GqqoqLl++XOURa0BAAH7++WfMmDEDixcvrpYcy3FxcVi7di0uXryIGTNmYPbs2dAro5pY\neRAR0tPTyxzJVlZkxVErvDJCir4rD8B8AKcBsAC0ARAKfJdZr6pCrQgrEi8v5J4/j00AJgCwBDeX\n9EgAkQASwM07fRPciiKzAEQBuA3u9M5NXV24yTjjVt26dcFisco9bseOHSguLkZISAguX74s9J27\nu7uQ4BkaGuLo0aNwdnau1FRlQUEBXr16JSTML168gImJich0tjg/c35+PgwMDISye0VFRQlNT8sK\n3kIz3oKx//3vfygsLBQ6pmHDhnBwcBArKuJG0qUpLCzE4sWLce7cOZw4caJafGwJCQlYu3Ytzp8/\nj2nTpmHOnDnQl6KcnDQiy2Qyy5wurur0dq3wyoFy+i5rAGPALem6A4ABgGcA2gHc/M+DBwNnz1a/\n3UpIrQgritRUwMoKEJP20R6AD4AHAPIB+Jbs/wjAAkAMANuS7xz09fGlTh18+fJFpB3BYgqlKc/v\n6+7ujvDwcKSmpop8p6qqCl9fXwwdOlSsj3TXrl2YNm0a/3Pz5s1hZmaGsLAw2Nvb83NGd+7cudKh\nOWw2GzExMXxR5k1pA6J+5ri4OHh4ePDPtbS0RHx8vFxXaMbGxqJr165ISUkR2r9p0yb06tVLrBiV\nHkmLm+5OS0vDyJEjYWVlhQMHDsDAwEBu9wAAHz58wLp16+Dv748pU6Zg3rx5QtesisjyRrLymMau\nFV45IkXf1QrcinFJ4FZCEoHJBBITv/sYYGmoDVFSFEeOiN2dAiAaQEsA9wGhQta8/38JrggzmUys\na9IEC1NT4eXlhQMHDgiJ7tChQ1GnTh2cPn1aaL+FhQVOnDiBoKAg7N+/H2lpaUI21KlTB5MnT0bf\nvn1x7949+Pv74+zZs3xB7tKlC4KCgrBgwQJ06dJF5B7S04WDqTw8PLB582bk5+fjwYMHCA4OxtKl\nS/Hy5Ut07NgRLi4ucHFxgZOTk9SVc1RUVNC0aVM0bdoUI0aM4D6fUn5mf39/LF26FElJSULntmvX\nDkVFRVX2M0vi48ePcHNzExHg1atXY/78+QAABwcHsefyRtKC0923bt1CfHw8oqOjUVhYiPr166NB\ngwZYtWqViKjVq1dPJj8ukpKSsGHDBvj5+WHs2LE4deoUsrKycOjQIRH7Sotss2bN4O7uLleRFYck\n4a1IruZapECKvusRuCVdfQD8BcAcwEoAQ3gHMxjcdv6jscFCyDchVy0SGT1aJEdqEUCuAE0q+XwD\nIEOAngOUV7KfAdAJwfPGjqXTp0+TsbExderUSSglo6GhIXXp0oXOnj1L3t7e/P2NGjUiQ0NDmjhx\nIr1+/ZpOnDghlM7RyMiIjIyMyMbGhjZu3EhpaWlUXFxMISEhNHXqVAoODiYioq9fv9LJkydFUlCO\nGDFC6LOvr6/YR5CdnU2XL1+mOXPmkL29Penp6ZGnpydt3bqVnj9/Tmw2WyaPulmzZkL2WFpakoaG\nBrVu3ZrGjRtHW7dupVu3blFWVlaVr/Xlyxdq1aqVyDOZNWtWhVNyfvz4kYiIvn37RhMmTKAmTZpQ\naGgohYeH07lz52jLli00c+ZMGjBgANnb25OOjg7p6uqSvb09DRgwgGbOnElbtmyhc+fOUXh4OGVk\nZIjYwOFwKC0tjR4/fkz+/v60fPlyat26NdWtW5eMjIxIU1OT9PX1ydHRkQYPHkxz5syh//3vf3Tp\n0iV68eIFZWdnV/mZVYXCwkK6cuWK1Lmaa5EBUvRd60reex+ACgG6BZAWQFGl+q5aanNHKw5PT6GX\nmA3QcIA8Sl5o3v6dADUGyBig9QDpAhQq+CJ7ehIR0fv376l58+ZCHb+pqSnt2rWLjI2Nae7cuXT/\n/n1as2YNeXl5UZcuXWj+/PlkYGBAv/zyC8XHx9Pz589pypQpFB0dTU5OTjRu3DgaP3481atXj8aN\nG0cPHz4UKySlBUdFRUXoc1BQkFSPJDU1lU6dOkWTJ08mOzs7MjY2pmHDhtGePXvo3bt3lcornZiY\nKGJbVlYW5efn05MnT2j//v00bdo06ty5M2lpaZGNjQ15eXnRmjVrKCAggJKSkqS+7rdv36hz584i\nz2Ps2LEV+kFRWFhI8+bNIy0tLTp37hw1bdqUJkyYUG4eYQ6HQxkZGUIiPWPGDOrTpw81btyYmEwm\nqaurk6GhIZmampKBgQGpqamRtrY2NW7cmGxsbEhdXZ169OhBR48epefPn8vkh4msqRVexcLu16/c\nvmsLQHUBYgkc5wnQNjF913+dWp+wohgzBvj7bwDcnnoigHhwFzdISu4XDcARXD8Lf0nM2LHAsWMA\ngNzcXBgYGAitxI2IiED9+vWxcOFC3LhxA1u3bsXgwYMxb948BAcH48SJEzh58iT27t2LYcOGYenS\npWjYsCHS09Ph7OyMiRMn4scff8Thw4exe/du1KtXD9OmTcPIkSP5mZBKT3+ampoKTcU6Oztj/Pjx\nGDRoUIV8mImJibh58yaCg4MRHBwMFRUVvj/ZxcVFqgLoBw4cwC+//ML/3K1bN9y5c0fssaX9zLyN\nwWCUG89cVFSEAQMGCNVPBrgJQc6ePSt1KFJsbCxGjBjBT/2poqKC/fv348cffxR7PBEhIyNDyK9c\n2ierpqbGnyo2MzODtrY2VFRUwGKxkJqainv37iEhIQEqKipgMplifdGC092KgDfVzMvVXOvjrX7u\n3r0LBwcHvO/aFfYvXgCQ3HcFg7tKOg//+jz7A+gF7gJTAEJ9138aBf8I+O+ycSO3QghAkwHqCNDX\nUlM8+QBFAsQBKAGg7gAtETxGQ4Pojz+Emh04cKDQKGz9+vX8727fvk0tW7akPn36UHR0NG3atIka\nNGhAL168oNTUVFq4cCHp6+vT9OnTKSkpiT58+EBWVlZ08OBBIiJis9n0zz//UP/+/cnQ0JBmz55N\nb9++LbM6kqqqKv3999/k5eVFurq65O7uTgcPHqQvX75U6HFxOBx6+/Yt7dq1i4YOHUqGhobUtGlT\nmjp1Kvn7+1N6errY84YMGSJkz5o1ayp83aSkJLp8+TKtXr2avLy8yMbGhrS1talLly40ffp02rt3\nL7m5uYncu7OzM+Xl5Ul9LT8/P9LR0RFpZ+LEifTkyRM6c+YM/fnnn/Trr7+Sp6cntWrVirS1tale\nvXrk4OBAgwYNojlz5tD27dvp4sWLZY5k09LSaOHChWRgYEC//vorf8T/5csXevr0KZ09e5Y2b95M\nM2bMoP79+1Pr1q1JW1ub9PT0qE2bNjRw4ECaNWsWbd26lc6fP08RERGUmZlZoWdbHrwR74QJE0hf\nX5+6dOlSO+JVEG/evCEtLS1q2LAh+WhoULGaWpl9VxFAtgCtLhkN3wVIG6DXZfRd/1VqRVhRpKQQ\nMZkUX9LRqpf4THjbcYAyAWoNkCZApgAtBqhY8GVnMolSU4Wa3bVrl1AHrqenR4mJifzvi4qKaNOm\nTWRoaEg+Pj505MgRMjY2ppCQkBKzUmj+/Pmkr69PM2fOpNDQUDIzM6Nz584JXScuLo4WL15MJiYm\nZYqwra0t/xyeD7mqgkzE/UEQERFBmzdvpr59+5Kuri45ODjQ3Llz6cqVK5STk0MsFov09PSE7Hks\no5JomZmZdPPmTdqyZQs1adJE5L4tLCwoICCg3OlcDodDCQkJIj+eeBuDwSBtbW2+yM6ePZu2bdtG\nFy5coGfPnlVY+NLT02nJkiVkYGBAU6dOFXo3yqMqIv3s2TOpprZrhVf5yMvLEyq1alanDuUDZfZd\nBNBLgDqV9F/NATpXTt/1X6VWhBXJ4MHlF7SWsBUDFNWihUhd1tjYWBEfqJGREV28eFHouMTERPLy\n8iJbW1v6/fffydjYmE6cOMH//tOnTzRnzhzS19en0aNHk6GhIX9BliAFBQVlinCfPn3E3rosBZmI\n++Pi3r17tGbNGurZsydpa2uLLJAyMjKS2WIvHr/99pvIPZuYmNCECROoc+fOpKmpSZaWltSzZ08a\nMWIETZw4kSZMmMAfyWpoaFCdOnXEPjsXFxd6//69TOzMyMig3377jQwMDGjSpEmUkJAgk3YFkSTS\nkkbtvB8U/v7+tGPHDho1alSt8CohU6ZMEXk3z5YeEFRkYzC4NYJrIaJaEVYsYWFEmpqVepHZGho0\n19mZmjRpQtevXxdq1s7OTugfzMaNG8nKyopmzJghItpXrlyhRo0akZubG5mbm9OmTZuEFiJ9/PiR\nZs6cSTo6OvT/9s48Lqpy/+PvYdgGRBYXUDOUNDUTxa1EXGlxr/S65ZZiZmimWak3Fb2mpqblrbCy\nEtM0tbJrWv1S3Lp6M7zilrsXRBEV2fdtnt8fhznNMDMwLAra8369zgvmnDPnPGeW85nv8910Op34\n+eefzS6jNBF++eWXy3wZMjIyxObNm6tMkIVQfr2PHj3aZCze3t5iyZIl4rfffhMFBQUVPraB9957\nz+x63d3dxbhx41Tr0M3NTbi5uQlfX1/RvHlz8eCDDwpXV1fh5uYmmjZtahbEBggnJyfx0UcfVSgQ\nrSQpKSli/vz5ok6dOiIkJETExMRU+pgVRa/Xi9u3b4ujR4+KzZs3i5CQENGyZUvh4OAgXFxchKOj\nozqjYcnqr4lBYvc7W7Zssfi97ggis6Ii7OIiRBXNSN0PSBGubsLDyy/ELi7K84QQO3bsEL6+vmLE\niBFqSssrr7xi8oUJDQ0VycnJYvDgwSIgIECcP3/eZAjZ2dli3rx5wtPTU3h7e4spU6aIwsJCk32u\nXbsm+vXrJzQajQgJCRGJiYnqttJE2MfHR4SHh4v09HSbXo6qFOROnTqZjGX69Oni1VdfFa1atRKu\nrq6iQ4cOYtCgQWLEiBGiX79+onXr1qJRo0Ymx7Bm3bVr187sWh0cHMTo0aPL9JMmJyeLfv36WXy9\ndDqdGD58uFi7dq04evSo2Y8mW0lNTRULFy4UdevWFePHjxeXL1+u0HGqkrKmmo1F2pL/29XV1aIl\n/f3339fYSO57mUuXLlmMUTAsU+3tRX6xb7gi9y6JghThmoBBiMuamtZoLH6Is7KyxJw5c0TdunXV\noBxLflm9Xi/Cw8NF3bp1xfr1682Gcf78edGzZ0/h6uoqevToYTGoaOXKleq04pw5c8Tt27dLFeFF\nixaJIUOGCE9PTxEaGipOnTpl88tiSZC/+OKLUgXZkPe6e/dus7G0aNFCuLq6ljpeQAwfPtzEkq1d\nu7aJnzMkJMRsCtnV1VUcOXKkzGs6fPiw8PX1tXjeUaNGiR9//FG89957YuzYsaJNmzZCp9MJf39/\nMW7cOJvymdPT08Xbb78t6tatK8aOHSsuXrxo8+t9J6hKH681ke7fv79o3bq1cHV1NctpNg5Sq+6c\n5nuJ3Nxc0aFDB6vfkVatWomTJ09W+t4lkSJcc4iKUvwkzs5K5KDxB1inU9YPHlzqNM6ZM2dEr169\n1GILoOQXvw4ibdAgJS9v1CgRP3266NKsmRgzZozIyMgwOYZerxcbN24UOp1O1K9f38xqFkKIVatW\nCT8/PzFmzBjh5eVVqqCdPn1aCKFY0mFhYaJBgwaie/fu4uuvvxZ5eXk2vzwGQX7uuedErVq1RJcu\nXURoaKhYuHChmDJlismNuCyRLWtxdXUVdevWFQMHDhRr1qwR165dU8exf/9+4eTkZLK/o6OjmUug\nJEVFRWLp0qUWp59r1aolNm7caPF5OTk5Iioqyiyf2c/PzySf+cKFC2LJkiWiXr16YtSoUeLcuXM2\nv7ZVTXUFV5UsPLJixQqzz4YUaSNu3lSyNEaNUu8NYtkyIW7dEtOmTTP7nBpmbyZOnCiysrL+PE4V\n3Lv+ysg84ZpGYqJSzu3UKUhJAU9PaNMGXnjBpjqrQgg2b97Mh+PG8XphIX1RvkEuxjvpdAi9nmM+\nPiwVgre+/56AgACT46SmphIcHMyJEydYtGgRs2bNMsmLnTt3Lj/99BPr1q2jbdu2VseTnZ2NTvdn\n5nNBQQH/+te/CA8P5+zZs0ycOJFJkyapze1FibxXS/mvWVlZZb+OlWD79u20atWKyMhI9u7dy759\n+6hXrx7+/v7s3LmTnJwcdV9DWdAhQ4ZYPd6NGzcYO3Ysu3fvNtvWvn17vv76a5o3b27z+BITE0lK\nSuL48eP8/vvv7Ny5k0uXLuHo6EjHjh0JCgpSc5rvVH/mkpTM423VqhXDhg2rUXm8QgiSkpJKrXNt\nnFNtablbJTjvKFFRsHQp/PST8ti4BrROR1FhIf8qKGApcLR49YABA9ixYwdRUVF07tzZ8nEree/6\nqyJF+H5kzRryX30VbUEBpTa302godHBgtoMDDy5ZwiuvvGJWeOONN97gn//8Jy1atGD9+vWqWAsh\nCA0N5dy5c+zfv9/i4Rs1amRWt9lYZH/99Ve++eYbjh49iqenJ87Ozty+fZvMzMxKXHzZuLq6WuzY\nY/i/ZFMKvV7Pjh07GD16tNkPgGnTprF48WJq1apl8Vy//PILY8aMsdgIY8aMGSxdutTmGtaGNoKb\nN2/m6NGj/Pzzzyxfvpzu3bszf/58PD09TYqMHD9+XO3PbFxopCr6M4Op8O7YsYOWLVvWOOEtD2WJ\ndExMTKnNKJo0aVLpjk93HEMP4JwcxVa1QhGQi9K3/P+aNCE6OrraCrXc70gRvt+oQKNtvbMzy+rX\n57d27fjiiy+oU6eOyfatW7cSEhKCVqtl3LhxLFq0iNq1a1NUVMSoUaPYsmWLxePWq1eP6dOnk5CQ\nYHIzu9Miq9VqKSoqUh87Ojqyfv16mjVrRpMmTahTp065mhxcvXqVoKAg4uLiTNY/+eSTFBQUEBUV\nRdu2bdVKXl26dMHOzo558+axbNkys+PVqVOHiIgIBgwYYNP5r1y5wuLFi1m3bh2FhYWA0qO5b9++\nhIWF4e/vb/W5qampaocpw99Lly7RvHlzE2Fu166dTX2BLQnv0KFD+dvf/nZPCm95EKJyHaOqXaQr\ncG/IAm69+SZNLXyOJVWDFOH7iago6NmzXF8yA8LFhdXPPceqgwf56quv6Natm8n2X3/9lcGDB9Oq\nVSsuXrzItGnTePjhh7l06RKzZ8+uoguwDRcXl1JLK3722WfMmTNH3d/e3p4nnniCYcOG8cwzz5Sr\ndObt27fp1q0b586dM1n/xhtvsHz5ckCZcj98+DB79+4lMjKS06dP4+DgQFpamtnxevTowVdffWVT\nyc2rV6+yZMkSPv/8c7Mez1qtlnPnztGsWTObr8VAbm4up0+fVkXZ0J/Z29tbFWXD0qBBAwoKCv6y\nwlsearRIV+LegIsLHDgAHTtW+bAkUoTvLwYPJm/7dkKBPUAy0AxYglLHFWArSnuxa0Dj4m3Pgtpo\ne1dxreghQ4YQHBxMXFycegM5f/48Fy9e5E5/ZFxcXNSb+/Xr1/Hy8mLQoEGMGDGCFi2d1kY0AAAg\nAElEQVRalGnJ9u7dm3379qmP33vvPXx8fNi2bRt79uwhMDDQJkHOyMggODiYqKgok/UhISGsXbvW\n4hi++eYbQkJCSE9PN9vWp08fli5dStu2bUsdf3x8PEuXLmXt2rUmdcCNad68OevWraNr165Wj1Me\nioqKuHjxoirM//3vf4mKiiI/P5+ioiLq169PcHAwISEhBAUF3RU/8/2GLSKt0+msCrSvr2/FRXrw\nYPj+exCC0Si1nbMAH+BNYGLxbpHAFCAOeAyIAHyL7w18+23lXgCJRaQI3y8UN9rOys1lBfAC8CBK\nUfWRwCnAAWgK/AvoU7xtKErx9fpAnkZDSxcXYu9w4JOjoyMPPfSQVWu2bt26qkgVFRWxa9cuwsPD\nOXbsGOPHj2fy5Mk0bdrU4rEzMzPx8vIysRwvX76Mn5+fun3nzp1lCnJeXh79+/cnMjLS5PiDBw9m\ny5YtZn2Pc3JymDFjBp988onZmBo0aMCkSZO4fv06e/fuJSMjg169eqnT135+fmg0GhISEnjnnXf4\n5JNPyMvLs3h9Dz30EPPnz+f555+3ufeyrViaan7qqafw9fXl6tWrqtV8+/Zt1c9smMquKj/zXxkh\nBImJiaWKtIuLS6mWtMXYhOJ7gyEA6w+UH+dOwDmgJ7ALpf/vQ8BnKM0W5gG/Ar8BODtDXJwMsLoD\nSBG+X1i+HMLCTCMdi/FHsX4fQPlyGYcI1QN2AF1QOp7MB1ZW0ZA6depEp06dTG4SWVlZrF69miNH\njjBr1iwmTZpkEj1dGpcuXeLjjz8mIiKCxx57jNDQUPr06YNW+2f42Q8//MCgQYPUx82bN+fChQsW\nj2dNkAcMGMDkyZP57rvvTPbv3bs3u3btwtnZ2WT9mTNnGD58OKdPnzY7x8CBA1m3bp2Jn/3KlSvs\n3btXnb62s7PDw8ODCxcumE07G2jatCnz5s1jzJgxVSq+FfHxGvuZDb7myviZJbZRUZHu/d//0nLz\nZuws/LA7jyLCq4FUFMv3cPG2LKAuEA201Olg4UJ44427cal/Le5WLpTkDmOh0bYAcQOlwPpZlFqv\n3UH8q/j/7SAaYVp+br0NebT29vaifv36wsPDw6xBgvHi7OwsIiIiLA732LFjYtCgQaJhw4bigw8+\nEDk5OTZfanZ2tli3bp3o2LGjaNq0qVi2bJlawWvKlCkmY5g6dapNxzTOQzbkWBsvnTp1Mqv6pdfr\nxdq1a4VOpzPb39HRUaxevbrU0pM3b94UM2fOFM7OzlZfw8aNG4u1a9eK/Px8m1+fsjDO4/Xy8hKB\ngYHivffeq1QeryGf+dNPPzXLZx4yZIiazxwfH18l5Tgl5uj1enHz5k1x5MgRsWXLFrFs2TLx8ssv\ni8iGDc3uCy+D0BV/xgJQuiBNAzG5xH6tQXxjeDxmTHVf4n2JtITvFwYOhJ07TVYVoPiCHwIMk6Sf\no/TzzAUcgW1Af6Pn7ACeqeKhtWrVCj8/Pzw8PMyWpKQktm/fTkxMDKGhoYSEhFC/fn0cHR1tOnZU\nVBTh4eF8//33DBw4kL179xIfH69u37lzJ/379y/lCKbMmjVLDbgy4OrqypIlSxgzZgyenkon57S0\nNF566SWLkeHNmjVjy5YttG/f3uI5bt++zYoVK/jwww/JthIo4+HhQaNGjbhy5QoPP/wwvXv3pnfv\n3nTr1s1qOlRpVEdUc0k/s2Gxs7MzCwBr1qyZ9DPfAYQQFPTpg+Mvv5htKwL+A+wHZgGTUWbG3jHa\npyvwIop7iwED4Icf7uyA/4JIEb5fGD0avvpKfagHngfSUXzADijBWsOB/wPaA/8FBgE/Ae2Kn/cl\nMO6uDdo6Li4uJmLt7u5uUcQNi0ajYdu2baxdu1Y9hqOjI8nJybi6utp0zuXLlzNr1iyTdY0bN2bW\nrFns3buXPXv20LVrVzp06MCGDRu4cuWK2TFGjx5NeHi4xQCapKQkVq5cyQcffGA1TatRo0a89dZb\nTJgwAScnJ/Lz84mKilILhxw9epR27dqp/uTHH3/cqi82Pz+fyMhItm7dWmOimoUQxMfHmwlzST9z\nQEAArVu3ln7mMhBWitsYL5/l5THcipsDFPF9BLiM8sM93GhbG2ABMARgzBj48ss7di1/VaQI3y8Y\n+YQFMAEl4OpHwOBxfRc4BGw3etqzQBDwOpADLHZyYrGVoKB7DXt7e6ZOncrkyZNp0aJFqft+9tln\nvPjiiybr6tWrx6+//qo+Nz09ndDQUDZt2mQWIe7i4kJ4eDjjxpn/hElJSWHVqlWsXr2ajIwMi+dv\n0KABf//735k4caKZz9mY7OxsDh06pPqTz549S5cuXejduzfBwcE8+uij7N+/30x4hwwZolYlq4mU\n5Wc2+Jj/an5mW0TW3t6+1IjqWmvWIObNw8Eod96YiYAr0BpYj3KPAMUnXA84hvQJ30mkCN8vGEVA\nTgaOo1i+xhOXB1B+0e5BsXyjgSeAzcBToEZAFnl5kZaWxqZNm/jHP/5Bx44dGTFiBHq9ntTUVG7d\nusX3339PfHw8HTp0MEkHqkn06dMHJycn9u/fz8MPP8zYsWN57rnnqFu3romF9e233zJs2DD0er26\nzs3Njf3796tTyrdu3WLcuHH8/PPPZuexs7Oja9eujB8/nmeffVadsk5NTeX999/nvffes5iyBODt\n7c2cOXNsDlATQnDs2DE1Gjk1NZU9e/awYcMGDh48SFpaGh4eHvTs2ZPQ0FCCg4PLVZikJmHIZzYu\nNGLIZzYOADPkM9+L1ymEICUlRa3IVRGRLa2S1f/+9z9eHjKEH06exFGv5xawFxiA8uN8DzAY2AQE\nokRNf4HiogpDuWfI6Og7ixTh+4nBg7myfTtNUNIPjGNoPwFGAR8C7wM3UX7lTkEpTVcE/ObtjdPO\nnXQ0SspPT08nLCyMTZs2sXjxYiZMmKD67r788ktmzpzJ7du3zYbSv39/PD092bhxo8l6rVbLiBEj\nqF+/PqmpqeqSlpZm8thYECvKkCFD0Gq1JCcnExMTQ3x8PPn5+Wg0GhwcHHB3d8fBwYH4+HgTy1ar\n1TJhwgTat2+Pu7s7sbGxrFq1yuJ1vvLKK8ybN0+d9o2MjKRz587UqlWLffv2WSzYAYqVPXv2bCZP\nnoyLi4vFfQwYhHfr1q1s27aNmJgYvvvuO5ydnc0s3u7du3PhwgV1+jozM1P1JwcHB9O0adN7UqwM\nGPzMxsJs8DOXFOaa4Gc2Fllri0ajUdP1SqbtlSWypbFlyxamTp3K7NmzGfDFFzQ7c4Zk4G/ACRSX\nlS8wDcXvC4ooTwWu8GeecBOZJ3xHkSJ8P1HJilnfTJ3KjK++on379ixYsMAksOj48eOEhoYihGDN\nmjW0a6d4kS9cuGBxqrdp06Zcv37dYr6rofzlypUrLd5ghBBkZmaaiPLBgwfZsGEDycnJ9OjRg8aN\nG5Oenq5uv3r1qkkqkqenJ0lJSWaCc+LECcLDw9myZQtt2rQhKirKZIx2dnaMGjWKhg0bkpyczKFD\nhzhz5ozF18zd3Z369eurfmlXV1fi4uI4deqU1VQjLy8vXnvtNV599dVSA6wsCa8xhmYNZU01x8bG\nmqRDOTk5qf7k3r1706BBA6tjuFeoTj9zeUXW0lLVNZmzs7N59dVX2b9/P6+//jqrV6/mSQ8P3ouO\nxs5CCmOZyIpZdxQpwvcbFagPi4sLvPsuvPwyubm5fPrpp7zzzjt07tyZBQsWqIKr1+tZt24df//7\n3xk5ciT/+Mc/qJ2byxve3vgDHii5hieB3Q0bcuL6daunrFevHhqNhpUrVzJq1CibrDMhBHv37mX+\n/PkkJycTFhbGsGHDsLOzM4tqHjduHBEREVaPdeTIEXr37m0WnRwREcG4ceOIi4vj+eef59ChQ2bP\nDQoK4vPPP8fd3Z3U1FQSEhLYsGED27Zts+rzBUU4dTodBQUF5OfnmwWdubu7U1RUxPXr17l06RIp\nKSlWj+Xm5kZiYmK5BEUIwblz51RB3r9/Pz4+PqqV3KNHj3KV9KzppKSkcOLECRNhvnz5crn8zNUq\nsrduKV2JTp6EtDRwdwd/fxg/3uq08KlTpxg+fDiPPPII9vb2HD58mPfff5/nnnsOzccfV+reILkz\nSBG+H7GxUwoaDeh0Fr9kOTk5fPLJJyxbtozAwEAWLFhAmzZtACXF5uOQEDr88gtPFRWRV1Bg0iox\nG9BqNOwSwqQdWkk6dOhAQUEBXl5ehIeH06pVK5suTwjB7t27mT9/PpmZmYSFhbF48WJOnDih7vP1\n118zfPhwi8+/cuUKXbt2NUllAqUpwgsvvECLFi1YuHChmQhqNBreeustwsLCsLe3Jysri/DwcJYv\nX25xqhoUi3zmzJm88MIL/Prrr+qUdZcuXejbty+BgYGcPXuWXbt2sX//fovdlqzh4eGBl5eXzRHk\nxtvd3NwQQnD8+HHVUj506BDNmzdXLeVu3brZHFl+r2DsZzaum+3p6Unjxo3x9PTE3t6evLw8bty4\nQWxsLMBdtWTLajWIENC3L8yZA506Acp34pNPPmHu3Ln069ePH3/8kQkTJjB//nzTGZcquDdIqhYp\nwvcrR48qX+Qff1S+UEY9cNUvcr9+yhe5lGmm7Oxs1qxZw4oVK+jevTthYWG0PngQXn8dkZODppSP\njx4l4nomf+Ypl+TZZ5+le/fuLF68mBdffJG5c+fafOMXQvDzzz8zZ84cEwHWaDQkJiaadYMCJcAq\nKCiIixcvmqx/6623GD9+PCNHjjSrFQ1K9PLGjRtV6/njjz9m2bJlVkXT3d1dnXYuaWWlp6fz4Ycf\nEhERwaVLl2yqxe3k5ESfPn0YOnQoAwcOxMXFxcyPbsm3bm17VlYWbm5uJiJdu3Zt8vPzSUlJISEh\ngRs3buDr60tAQACBgYF06dKFevXqqfsaVyqrqQghSE1NLdWSFULQsGFDVawyMjJISEjA3t6egIAA\nOnbsSPv27e+On7kCIpk6ciQTJ07k5MmTODo6qj9qH330UcvPraJ7g6RqkCJ8v1NFjbazsrL46KOP\nSFy0iLdzcnCyku5g8bmULsQTJkxg0aJFvP766xw+fJjVq1fzzDO2lwyJiIhg/Pjx6uOHH36Yc+fO\nmU1xp6Wl0atXL6Kjo03WT548mWnTpjFy5EgTMTfw0EMPsW3bNlq2bKlO1d+4ccPiWGrXrs2MGTOY\nPn26iYVUlo/XEiWFtyobyhcVFZn41C0JdWJiIhcvXiQ2NpaEhASys7PVIioFBQW4urqWaXFbW2rX\nrl1l5TfLmi4WQpRpyZb8rFjzMyclJeHv728SAFZlfuYKuJKKnJ2Zp9PxQ6NG3Lp1i+XLlzN27Fjb\ngu+q6N4gqRxShCW2ExWF6NEDjfEvZxvJAnqgFAixhKE1YGRkJKGhobRo0YJ//vOfNGnSpMxjjxw5\nkq+//lp97O3tTaNGjVi4cCH9+/dHo9GQk5NDnz59OHjwoMlzhw8fzlNPPcUrr7xi5h+2t7dnxowZ\nZGRk8OWXX6LX68m1EthSq1Ytpk+fzowZM1S/akWE18HBgbp165KamkrXrl15/vnnTdKeqpOUlBQO\nHjxIZGQkkZGRxMfH07lzZ9q3b0/Lli3x8PBQBbwsizw9PR2dTmfT1LmDgwM5OTlkZmaSkpLC7du3\nSUhIUDt86fX6cotsZV6DsvzMAQEBtG3btnz5zJUIqswGVg8ezEtr195XPv2/ClKEJbZT3A7tQyGI\nQOnMNBIljQHgK+Alo90N09FHUfKSv0dJj7DGO++8w6xZs8jLy+Pdd99l1apVzJw5k9dff91qGcui\noiK8vb1JSkpS1/373//m5s2bLFiwAGdnZ+bOnctnn33GDyVK7gUHB1O/fn02b95sdlw/Pz++/PJL\nTp48yZIlS7h27ZrF87u6ujJt2jRmzpxJnTp1VOHdtm0b27Zt43//+18pV6xgyeLNyMhg165dqg+5\na9euDB06tMYIMsCNGzfYt2+fGuiVnZ1tlg5lDeMI+Li4OM6fP8/ly5eJjY0lPj6emzdvkpSURFpa\nGnq9HmdnZ3X6u6CggNzcXBwdHfHw8MDT0xNPT89yWeTu7u5VFiWdk5PDH3/8YSLMp06dUvOZjVOn\nrOYz29CG1MBClCpWu1Hy/IVGg0amEN2zSBGW2IZRMZDvADuU8pc5/CnCJYkAFgGXAE3xvg8ClkOY\nFD799FO1clVMTAyvvPIKly9f5qOPPqJ3795m+//+++889thj6mMPDw8SExOxt7dHr9fzzTffMGnS\nJLN8XX9/fzIzMy2K5LBhwwgMDGTlypVcvXrV4ji1Wi329vYMGTKE1157DaDSwmuNjIwMtdtTTRVk\nUN4vQ5DX3r17cXZ2VktrNinuoGVpurioqKhUS9bT09PidHF2dnap1nZZFrlWqy1z2rw0IS+tsplx\nPrNxTrPFfObatbFr2rTUNqRNio97GaXKXRJKidknDCeUxTTuWaQIS2zDQqvEucA1rItwL5Q2aWHF\nj21plWhnZ8eWLVv4298Um1kIwY4dO5g2bRpBQUGsXLkSHx8fdf9FixYxf/589fHQoUPZunWr+twZ\nM2awevVqk3N4eXmRnp5OYWGhyXqdTsewYcPYt28fcXFxFsen0+kIDQ3ljTfe4OTJk7z99tscPnzY\n7FiWqAofb00U5LS0NDNhjYmJ4dy5c8TFxVFQUIAQAp1Oh5+fH+3bt6dXr148+uijVkX2TiOEICcn\np8xpc2tCnpKSgkajKVdUuru7O3l5ecTFxXH58mVOnz7N8ePHGXX9OnMLCnC2cCs2tCEdUvy4L/AK\nEIrS91cVYVlW8p6laruCS+5fTp602KvYGleAgygl8Ay4oNxUSkOv1/P888/j7u7Ok08+iUaj4Zln\nnuGJJ55g0aJFtGnThrCwMF5++WW0Wq1ZGcmnn35a/X/x4sVmAmxo6lCSRo0aodFoWL9+vcVxOTs7\n89JLL9G3b1/27dtHYGBglVu8tuDm5sbIkSMZOXKkiSBPnz79jgmyJZE1XgoLC82s16CgINW69fT0\nRK/XEx0drVrJU6dO5eGHH1bToYKCgu5qOpRGo8HFxQUXF5cKFyzJzc0t0+KOi4uzur2wsBAPDw86\nOjrinJ9vdvybwAWUms6gdDxzBPpZGkxOjhJgJbnnkJawxDYstEoszRJeBESitEkzZqdGw0AbPnKu\nrq5ERkaaTDUDnDlzhtDQUNLT01m+fDlPP/20SYnLq1ev8sADD7BmzRpCQ0NNnmtnZ2exHKarqytZ\nWVkWx+Ho6MjgwYOpU6cOP/30k03Cq9Vq0Wq1tGzZkrlz5zJ48OA7ns5TGQu5LJEtKCgodbrYy8ur\n3JZsfn4+R44cUctrHjt2jPbt26v+5Mcee8zmdpY1CUvV3qyJcFJSEklJSfwjOpqeJbpqlWxDmgkE\nAL8ATVGmp00sYZCtBu9RpAhLbKNEq0QoXYSbA38HxpdYv9vHh6espPeUxMvLi4MHD9K6dWuT9UII\nNm7cyLRp00hNTVXXt27dmtOnT7N582ZGjRpVZv6tNVEGJTLa39+fpKQkiy0LS1LS4nVwcGDLli2E\nh4eTmJjI5MmTmTBhAvXugs+upCB37tyZbt260axZM27fvm3WKOBOiGx5ycrK4t///rca5HX+/HkC\nAwNVSzkgIOCu5CXr9XoyMjIqnH+dlpZmFvVd1nR1u5UrqWs0o2OpDelMwB3FnQNWRFi2GrwnkSIs\nsY1y+IQPoXRlugEYd9XN12p5q6iId8tx2oYNG3Lo0CGLqUpjx45lw4YN6uPXXnuNJ598koEDB9rk\no7VGaZaxMbZONUdFRbFmzRq2b9/OgAEDCA0N5fHHH68yYUtPT7dqxcbExJCTk4OjoyM5OTk0bNiQ\nxx9/nH79+qk+2bshsuUlJSWFAwcOqJZyQkICPXr0UC3lVq1aWRyzpfxnWwU0NTWVjIwMNf/Zlnzn\nkvu4u7uXP//Zhjak7VC+a4YjJ6KI8qziRfqE712kCEtswyg6uhAoREmVuAasRbk5GG4Qk4BclOhN\nE5ydiTlwgGFTpnD0qLViluY89NBDHDp0CG9vb7Werjh5kj3ffsuN3FxOovwQqO3nx/Xr163m8lYF\nlfHxJicnExERwYcffoijoyPBwcH4+vpy/fp1YmNj6dmzJ9OnTzd7XmkiGxsbS35+vlUrtkmTJtSp\nUweNRmNxynrYsGE888wzNSbKurCw0EQUDf/HxsZy7Ngx/vjjDy5fvkxBQQF16tTBxcUFrVarRkpn\nZmZSu3btCglomZXAKlDL2SZsaEOahDJFbaATsAplyroWyOjoexgpwhLbKc4TXiAEC0tsCkPJXcwF\nfIBvgWDjHTSm7dAOHDjA6NGjrebflmRks2ZEtGiBY2SkssJIaLNRUqB+sbPjbb3eaq3qiuLo6Ejf\nvn1tFt6yyiRaa28YGBjI8OHDKyyy5eFOCXJ+fr5FEbU18jgnJ4fatWuXKZ4FBQXExsZy7tw5oqOj\ncXFxoVevXjz99NMEBwebRNBXmgrUci43NrQhNaYJRtPRJb5bknsLKcIS26lEVR9L7dCEEHz44YfM\nnDnTaus/UAqArAScgdK8gkUoPwJKK5FpK05OTjz11FN4eXnxyy+/0KlTJxYsWEBAQECFRbYstFot\nTz75JL169cLPz69SIlsejAV59+7ddO7cmSeeeIJOnTqh1+vLlbqTl5dX4bxbDw8PatWqVe5rFUJw\n5swZ1Z984MABGjZsqPqTe/bsWfEmC3er4UEVf7ck9w5ShCXlo5KtEktSWFhI8+bNiS3uVlMSgwCX\nJ3mlrFrV1jBYvP379+eRRx7h9u3bxMbGcunSJQ4cOMDZs2fRaDSl/mCoDG5ubrRt25aYmBgmTZrE\niy++WK70GSGEmjZTXgvUsBQVFaHT6SgqKiInJwdPT0/8/Pxo2bIl3t7eZQqsq6trtfuXi4qKiI6O\nVv3Jhw8fpmXLlqo/uWvXrralQ1XxZ73GnU9SI5AiLCk/VWgdCCGIjIwkLCyMw4cPm2zriJLi9BJK\nulMWylT3m8DEEscpWcqvrFrVBrRaLb6+vnh6epKfn8/Vq1dNIq7vBFqtlmbNmplNK/v6+uLv789/\n/vMf1q5dy48//khAQAA9evTAx8fHpmlewKyEY3laHOp0OlVEjS3kPXv2EBQUVON8yLaQl5fHkSNH\nVEs5OjqaDh06qCU2LaZDRUWR16MHoTk5FstIngHGolSwAugA/BN4BCpnmcpWg385pAhLKkYVt0MT\nQvDLL78wf/58fv/9d0DxKz8DnEO5AToV/98T2IVy4wPLpfyKKLtWdXVhqBplSUQdHBxMpmYzMzOJ\nj49Hq9XSsWNHunbtio+Pj1WBLa2UYmW4XwQZIDMzU02H2rt3LxcuXDBJh2rXrh3aoUPJ2r7dahlJ\nDyAV8EVJKfoIxUd7Eirvo5WtBv9SSBGWVI4qbocmhOCnn37i3TffZNcff6gpGgbOo4jwamBY8Tpr\npfxsqVVdHbRp04a5c+fa3FRACMGBAwcIDw9n9+7djBgxgtDQUNq0aVMNo7+/BBmUqHXjdKjC69c5\nnZGBo4Uc8pJlJEHJFPgEeAMlSBCommhl2Wrwr4GQSGog+mXLRIGjoxDK737xMggdCEAEgMgoXr8V\nxKDi/31B7C7+X4DIAjGz+Dk1ZdHpdGLQoEEVfl3i4+PFwoULRaNGjUS3bt3E5s2bRV5eXhW+8uUj\nPT1dbNq0STz33HPCzc1N9O3bV6xbt04kJydX25gqS9pbb4kCBwf1c2RYboBwAnHWaJ07CC0IDYhF\nxvvrdEIsX17dlyK5B5CWsKRmYqFCVxHwHxQ/8Swgj7JL+X0JjKuiIdUrPpY/f05HGnKULVnbERER\ntGrV6o60zysoKGDHjh2Eh4fzxx9/MHHiRCZNmsSDDz5YJcevCCXTnoKCghg6dGjVWsh3KlfXGAuf\nvZJlJI3JAtajTE33N94gK1hJbECKsKRmYqFWtYHJKAEwVyi7lN8OFL9yZegIzEG5CQuURhQGDDnK\nPwFLocpzlCUKd/M92AEMNHpsqYxkSfQoP9LOAvUNK2UtZ4kN2FX3ACQSi7i7W91UiBKMFYkSkepT\nvFxF8RMvM9q3snHOL6FY3s+glBB0KbHdpXj9M/wZyW1g3759TJ06FU9PT0JCQoiNjUUIcceWzMxM\nPv30U9q2bUvz5s1ZtWoVycnJd/Sctizp6els2rSJZ599Fjc3N/r168e6detsH1t4OFEuLgzWaEp9\nDwZrNES5uCDCwys13oGj/iyNIYAQlI5G32JZgEER4Wwg3njlPegfl9x9pCUsqZkU19O9lZvLXmAA\nyo12DzAY2AQEUXopP1v6F5dGRXKU87Ra1rVuzRYvL5Pes+np6QghqFWrFg888AB169YtV1lFd3d3\nHBysSYApQgh+++03wsPD2blzJ4MHDyY0NJQOHTqU/eQ7jGHKeuvWrURGRtKtW7fSp6yrI3fWqJaz\ntTKSu4G6KK6JLJQ66t8A/0MpKiNrOUtsRYqwpGZSXE83MTeXvwEnUKwNX2Aa8KKFpzTBdDq60N6e\nl/r2Zc+JE8TFxZns6+joiFarJcc4/cOITsAIFLE/hZKaElG8LRbFB20szrOAeYYHFvJE9Xo9sbGx\nvPvuu3z11VcEBwczcOBAtFqtTUU00tLSaOzkRIi9PW01Grzs7MjT6bhRvz4nAgKwb9DAopAXFhay\na9cuNmzYgI+PD6GhoQwbNgydrmTcuY1UoU+2TEEuriKVl51NKFjM181HmSo+iuKe2IcSPV+pXN3i\nz96V3FyrZSQdUd7vayg/DjsB72DUL1vWcpbYiBRhSc2luFZ1qUULrFEiVzMzM5OTJ08SHR3NoUOH\n8PX15datW+zZs4ecnBweeeQRk7zc9+PiyMnPxx74P5R0p4jiQ8eiiHABpjdnA0XAv+vU4fN+/cwK\ncjRu3JiUlBRWrFjBF198wejRo5k9e3bplbGiohBLlsBPPyE0GuyMahcXOjiAEEUfYmIAAAgeSURB\nVFxq3pz/a9+e0zqd1SpZdnZ2aDQaCgsL8fb2pnnz5jRs2NCmYh6ely7htGrVHaufbEmQw2/c4MHo\naLKFsJqv2xAIR/EZDwU2UyzClc3VrcLPnkRSGlKEJTWXu1BPVwhBTEyMWk1p7969+Op0HLp2DYei\nIsC8ZWMspYswQJGjI1tXrOB8crJJXemEhAS8vb1p0qQJ3t7eXL16lVOnTtG3b1/efPNNAgICTKed\nq6iCkhCC7Oxs0tLSOHnyJBs2bGDnzp00bdqULl260KhRI7UFYElrfND16yzIzCyzdrdeo6HIwYHj\no0Zxe+hQMzF3dna2qaRlRkYGu7/6igFTpljM1QXL+boPABspFmGonDUqazlL7hJShCU1m7vsExRC\ncGPmTOp+8AEOxT2JrYlwQ5So3CeBFSg+QgN6JyfEggVoZ882OX5BQQHx8fEmwnz27FkOHTpEQkIC\nGo2GBg0a4Ofnx/i8PJ4/dgzH8tSqLse15+TksHXrVsLDw7l58yaTJ08mJCSEesaiVYHXP0+r5dMW\nLdhUu7ZZXWpb/eDt9+zh4U2b0Obnmx3/Jopb4jjQ0mi9mQhX1i8razlL7gJShCU1n7tdT7dEnmhJ\nEc5EKZ/ZDqVU5hQgA2Xa2phNWi2r2rUjICBAXfz9/a02D4iPj2fx4sVs2rSJ0E6dWHjgAJ8UFBCB\nuV8alMCz14GtKFZ5W+AgVMgSO3r0KGvWrOG7776jf//+TJkyhce1WjS9evFhdrbVMXyG4gu9gRIo\n9wXKjxNLY8jNzSUtLc2m5hIh+/fT+/p1s3GWlq9rJsJQ+VxdWctZcoeRIiy5N7ib9XRL5CiXFOGS\n3AAaAGmAcafhwj59+H3ePKKjo4mOjub48eOcOXOGBx98UBXldsUibWx9Xr16laQePWgTE8O/UPII\nS/qlAUajpGt9AHihWIYd+NMn/UX//mY+6QceeKDUKOvk5GTWr19PeHg4nyQm0jM9ne+FsDiGAyh+\n2H1Ac+BVlMYGB6DyflELeeJl5etaFOGqyNWVtZwldxBrLi2JpGbRsaNyQ78b9XRLyVG2hMHLWfLX\nrH29egQGBhIYGKiuKygo4OzZs6ow//jjjxw/fpxatWqpovy4nx99r1/HDiUdC5To32tGxz6PUlTi\nGn8KvyEBSQsEZWQQ374955OT2b9/vzr1fePGDXx8fEyEuWnTpiYiPWPGDF4dORLx4IPYCWF1DD+g\niHDr4sfzgEYoOdwPCaGIVmJixd6XEu+Bcb7uj1jP1zWjKnJ17+ZnT/KXQ4qw5N6iXr07n3vp7w/f\nfkthbi6FKJZlEZCL8oX5L0rZyuZACkrKVE+U6l0qOp1ygy6Bg4MD/v7++Pv7M26cUlDTEBxmsJZv\nLl9OXl6eWfMKY46g+EXDgA0olvgC/gxU0mq1PJ+fr/hEjSgoKODatWuqKBuC0gyPb968SYMGDZht\nZ8cEvb7UQCxDQWzjxwCnUaaL0WgU0arI+1X8HhiisF9GqUa1B8xelzyjc+ejvE9OgMbKe1Bh7sZn\nT/LXo5S60hLJX5ObN4VwdhZhFhowhIHYBKIJCBcQPiDGgEgoUexfODsLcetWxc4/apRZ84C3QIwz\nerzYaDx5IPaDcAVxxvh5Y8aU+9R5eXni8uXLIiE4uMwx7AFRB8QJENkgJhU3MthUyTEIIdT3QICI\nLb5Wp+JrNCwb+bNxR8n3Kaay74FEcpeQZSslkpLUrw99+7JAozG7uy9ACU6KQamUlIDSJMLH+Pka\njeIjrOgUZVpambvoUKZk56IUjugB9EJpZqGSklLuUzs6OuLn54ePDcU8goGFKNa3L0qxFDcU32xl\nxgCo7wEaDb4or30uSlCcYTEUl4zFXIWbVPY9kEjuElKEJRJLzJmjTClXBJ1OeX5FscEn7V/mHlTO\nH2qjX3wKcBG4hSLGhcCjVTWG6nwPJJK7hBRhicQSnTop6SYuJdsFlIEhT7QyUbL+/kqhCRRRy8XU\nL10IdEepHrW0+PEhlAYSTxuOUVl/qA1jyEXx/wogDpiEEiGtym5lx1Cd74FEcreo7vlwiaRGEx4u\nhIuLEBqNmY/UZNFolP3Cwyt/TiN/qDW/tABxGsTjxb7pViC+qyqftI1jSAHRpvj83iBmgyisyjEY\nqI73QCK5S8g8YYmkLKojT7Qm1C6uCWMwIHN1JfcpUoQlElu5m3miNaF2cU0YQ0lkrq7kPkOKsERS\nU6kJtYtrwhgkkvsYWaxDIqmpGESsOmsX14QxSCT3MdISlkhqOjXBH1oTxiCR3IdIEZZI7hVqgj+0\nJoxBIrmPkCIskUgkEkk1IYt1SCQSiURSTUgRlkgkEomkmpAiLJFIJBJJNSFFWCKRSCSSakKKsEQi\nkUgk1YQUYYlEIpFIqgkpwhKJRCKRVBNShCUSiUQiqSakCEskEolEUk1IEZZIJBKJpJqQIiyRSCQS\nSTUhRVgikUgkkmpCirBEIpFIJNWEFGGJRCKRSKoJKcISiUQikVQTUoQlEolEIqkmpAhLJBKJRFJN\nSBGWSCQSiaSakCIskUgkEkk1IUVYIpFIJJJqQoqwRCKRSCTVhBRhiUQikUiqCSnCEolEIpFUE1KE\nJRKJRCKpJqQISyQSiURSTUgRlkgkEomkmpAiLJFIJBJJNSFFWCKRSCSSakKKsEQikUgk1YQUYYlE\nIpFIqgkpwhKJRCKRVBNShCUSiUQiqSakCEskEolEUk1IEZZIJBKJpJqQIiyRSCQSSTUhRVgikUgk\nkmpCirBEIpFIJNWEFGGJRCKRSKqJ/wdh2WmKw7ErQAAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fe0b576d908>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "karate = nx.read_edgelist('data/karate/karate.edgelist', delimiter=',',\n",
    "                          nodetype=int, create_using=nx.DiGraph())\n",
    "nx.draw_circular(karate, with_labels=True)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Compute Karate-club embeddings"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "INFO:nw2vec.utils:Loading edges from data/karate/karate.edgelist\n",
      "DEBUG:nw2vec.utils:Loaded edges of shape (78, 2)\n",
      "INFO:nw2vec.utils:Building adjacency matrix\n",
      "INFO:jwalk.graph:Weight column not found. Defaulting to value 1.\n",
      "DEBUG:nw2vec.utils:Number of unique nodes: 34\n",
      "INFO:nw2vec.utils:Saving graph to data/karate/karate.edgelist.npz\n",
      "INFO:nw2vec.utils:Doing 10 random walks of length 80\n",
      "DEBUG:nw2vec.utils:Walks shape: (340, 80)\n",
      "INFO:nw2vec.utils:Building corpus from walks\n",
      "INFO:nw2vec.utils:Running Word2Vec on corpus\n",
      "DEBUG:gensim.models.word2vec:Fast version of gensim.models.word2vec is being used\n",
      "INFO:gensim.models.word2vec:Loading a fresh vocabulary\n",
      "INFO:gensim.models.word2vec:min_count=1 retains 34 unique words (100% of original 34, drops 0)\n",
      "INFO:gensim.models.word2vec:min_count=1 leaves 732 word corpus (100% of original 732, drops 0)\n",
      "INFO:gensim.models.word2vec:deleting the raw counts dictionary of 34 items\n",
      "INFO:gensim.models.word2vec:sample=0.001 downsamples 34 most-common words\n",
      "INFO:gensim.models.word2vec:downsampling leaves estimated 143 word corpus (19.6% of prior 732)\n",
      "INFO:gensim.models.word2vec:estimated required memory for 34 words and 128 dimensions: 51816 bytes\n",
      "INFO:gensim.models.word2vec:resetting layer weights\n",
      "INFO:gensim.models.word2vec:training model with 8 workers on 34 vocabulary and 128 features, using sg=1 hs=0 sample=0.001 negative=5 window=10\n",
      "DEBUG:gensim.models.word2vec:queueing job #0 (3660 words, 1700 sentences) at alpha 0.02500\n",
      "DEBUG:gensim.models.word2vec:job loop exiting, total 1 jobs\n",
      "DEBUG:gensim.models.word2vec:worker exiting, processed 0 jobs\n",
      "DEBUG:gensim.models.word2vec:worker exiting, processed 0 jobs\n",
      "DEBUG:gensim.models.word2vec:worker exiting, processed 0 jobs\n",
      "DEBUG:gensim.models.word2vec:worker exiting, processed 0 jobs\n",
      "DEBUG:gensim.models.word2vec:worker exiting, processed 0 jobs\n",
      "DEBUG:gensim.models.word2vec:worker exiting, processed 0 jobs\n",
      "DEBUG:gensim.models.word2vec:worker exiting, processed 0 jobs\n",
      "INFO:gensim.models.word2vec:worker thread finished; awaiting finish of 7 more threads\n",
      "DEBUG:gensim.models.word2vec:worker exiting, processed 1 jobs\n",
      "INFO:gensim.models.word2vec:worker thread finished; awaiting finish of 6 more threads\n",
      "INFO:gensim.models.word2vec:worker thread finished; awaiting finish of 5 more threads\n",
      "INFO:gensim.models.word2vec:worker thread finished; awaiting finish of 4 more threads\n",
      "INFO:gensim.models.word2vec:worker thread finished; awaiting finish of 3 more threads\n",
      "INFO:gensim.models.word2vec:worker thread finished; awaiting finish of 2 more threads\n",
      "INFO:gensim.models.word2vec:worker thread finished; awaiting finish of 1 more threads\n",
      "INFO:gensim.models.word2vec:worker thread finished; awaiting finish of 0 more threads\n",
      "INFO:gensim.models.word2vec:training on 3660 raw words (662 effective words) took 0.0s, 21107 effective words/s\n",
      "WARNING:gensim.models.word2vec:under 10 jobs per worker: consider setting a smaller `batch_words' for smoother alpha decay\n",
      "INFO:gensim.utils:saving Skipgram object under data/karate/karate.emb, separately None\n",
      "INFO:gensim.utils:not storing attribute syn0norm\n",
      "INFO:gensim.utils:not storing attribute cum_table\n",
      "INFO:gensim.utils:saved data/karate/karate.emb\n",
      "INFO:nw2vec.utils:Model saved: data/karate/karate.emb\n"
     ]
    }
   ],
   "source": [
    "karate_embfile = utils.node2vec('data/karate/karate.edgelist', 'data/karate/karate.emb')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Get computed Karate-club embeddings into a DataFrame"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "INFO:gensim.utils:loading Word2Vec object from data/karate/karate.emb\n",
      "INFO:gensim.utils:loading wv recursively from data/karate/karate.emb.wv.* with mmap=None\n",
      "INFO:gensim.utils:setting ignored attribute syn0norm to None\n",
      "INFO:gensim.utils:setting ignored attribute cum_table to None\n",
      "INFO:gensim.utils:loaded data/karate/karate.emb\n"
     ]
    }
   ],
   "source": [
    "karate_emb = Word2Vec.load(karate_embfile)\n",
    "karate_emb = pd.DataFrame(dict((int(w), karate_emb.wv[w]) for w in karate_emb.wv.vocab)).transpose()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Have a look at their PCA"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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RbBFZKCIbXb/9Xt6JyBRXmY0iMsVr+XARWS0im0Rkhrg+7SLysIjs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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fe07e8c0438>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Reduce dimensions\n",
    "pca = KernelPCA(n_components=2)\n",
    "karate_emb2d = pca.fit_transform(karate_emb)\n",
    "karate_emb2d = pd.DataFrame(karate_emb2d, index=karate_emb.index)\n",
    "\n",
    "# Plot\n",
    "fig, ax = plt.subplots()\n",
    "ax.plot(karate_emb2d[0], karate_emb2d[1], 'o', markersize=15)\n",
    "for label, (x, y) in karate_emb2d.iterrows():\n",
    "    ax.text(x, y, label, ha='center', va='center', color='white')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Compared to a spring layout of the graph. Not sure what to think about this."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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Hoig5fUKSosQMobKDCJXaCCZCpRZnocpD3PLSEL/ldyB86/XI+OdPDVKEJeYzZoywwMyB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\nUgAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fe07e330cc0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "nx.draw_spring(karate, with_labels=True)"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.6.5"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}