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@mleila
Last active August 16, 2018 13:01
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{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Color Maps using Integer Programming"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Operations Research has a lot of cool and practical applications such as Supply Chain Optimization (my favourite!), crew scheduling, vehicle routing, and portfolio optimization.\n",
"\n",
"In this notebook however, we will use Operations Research (Integer Programming in particular) to assign colors to different entities on a map. This map coloring problem correspond to the famous vertex coloring problem in Operations Research, where given an undirected graph, try to assign colors to vertices such as no two connected vertices have the same color while minimizing the total number of unique colors used. "
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Import packages"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"In this demo, we need two python packages the `map-grapher` and `vertex-color-solver`. The first lets you load US national and state maps, convert them to undirected graphs and reconstruct colored versions from solutions. The latter is a collection of vertex-coloring solvers. At the time of publishing this notebook, I had only implemented the Integer Programming solver. Other solvers will be coming soon (especially the greedy one because we will need it as you will see)."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Let's start by cloning and installing the packages"
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [],
"source": [
"%%capture\n",
"! git clone https://github.com/mleila/map-grapher\n",
"! git clone https://github.com/mleila/vertex-color-solver\n",
" \n",
"! pip install -e map-grapher\n",
"! pip install -e vertex-color-solver"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Then we import these packages"
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [],
"source": [
"from IPython.display import display, Image\n",
"\n",
"from vertex_colorer.solver import Solver\n",
"from map_grapher.core import load_map_data, plot_map, color_map, save_to_file, build_adjmat"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"and that's all we need!"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Pick a Map"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"We will start by picking a State in the US and showing a map of its counties. I'll choose Arizona because it has a small number of counties, so the solver won't have too much trouble solving it. "
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {},
"outputs": [
{
"data": {
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0CQBEUTRaW1sXvC0tIaRaURhXDrFkWwAAQRDoJOU2sW0bH3/88dPj4+NHAMCyLCGXy8nu9WVBrL300kvv9fX1zXtVXkJIdaMwrhzFMGbOBLGCINB4421gWRb7xS9+8cLc3Nx+oLA4h6ZpFmMMoigyTdO4rusSAEiSpL3yyitvd3d3L3paaEJIVaMwrhylYSw4P6lmvMVyuZz83nvvvewulWhZlp1MJsE5v++zIMty/rXXXvv5gQMHlne+pITsGJpwqAJQGFcO93/BnEtxWA15PJZlsenp6ca5ubnmiYmJ3mw2GwUA0zStVCrFOOf3dWRUFCX3jW98429oxi1SrUom/aC+KRWAwrhyiAAgCELxg0HN1A/Ptm0sLi5Gpqen9ywtLTUlk8mGTCYTsW171Xtd0zQzk8mIcL6I2traRvr7+0eSyWQwnU4HDh8+fLe9vT3pyZMghNQcCuPK4TZNF8OYMUZh/ADJZNI3NTXVGo/H3eCNGYahrnd7zjnP5/NWLpdzg5j39vZ+8dprr13auVITQshqFMaVwwQAu2SaJ1pC8X7pdFq9du3a4eXl5aZ0Ol2naVpgvdtyzrllWbZhGNw0TViWxSzLEhhjEgAwxqxjx459dubMmds79wwIqVxUAVhlR18LCuPKYQLFxQk4AGZZFoWxwzAM4cKFC4Pj4+P97jjgck7w2qZpwjRN2LYtYvWQMbgND6IoGmfOnPnw6NGjk9tfekIqEgO+/EwQb1EYV47iOrmcc5sxJlLNuHAO+ObNmwdv3rx5PJ/PB939lmXZpmkWg9c5cHEv9xEEwQgGg4lYLLbY0tIS7+npmW5qasru1PMghJCNUBhXsNKpGGvRxMRE86VLl06lUqkGd59lWXYmk7FN05SwTvAyxuxAIJAMh8PLTU1N8X379s3t379/kebdJYRUKgrjynHK6wJUisXFxdD58+dPxuPxvXCa0mzb5tls1tQ0TXLP+Tq4qqqZSCSy3NDQsNDR0THX3d09rygKDQsjhOwaFMYVgDF2BECkfH8tLf5t2zbm5+frbt++3TM5OdnrDkXinPNcLmfm83kRgOye32psbLzX19c33NPTMxuJRHQvy07IbsZLmuBqtQNXJbRC1mQYM8ZkAA0AGgH4UOgw5V5sALmSSxZAnnO+LTUtxlgIwK8BgCRJckdHR687A1c1s20bU1NTTdPT021LS0styWSy3jAMX+ltNE0zs9ks45wX54wOhUJLzzzzzOf9/f2z9z8qIWSz3IN9Rj24KkJNhDFjzA/gCIBDKARw7BEeI4/VIT0F4BPOee4xysUAfAtAAAA6Ojp6A4FA06M+3m5y8+bNA5cuXXphretM07QymQwsyyq+PxVFyQ4ODl585plnRujcLyGk2lRtGDvnFXsBDALoQdkQl0fgcy51zu8HAZxijP015/zyIz7mUaeMaGhoaHaDOBAIZI4cOXKns7OzKudEtm0bt27derLkd1vXdbdntDsW2J0S1Dh48OCNF1988QqdByaEVKuqCmPnC3wfCgHcj0J4FqmqqoZCoaiiKAFFUQKyLAdEUVTw5eBuzjnntm0blmWZzk/Dsiyz9KemaflcLpcFoAL4NmNsH4C3OOfGQ5Q1CuB1AFAURWlqauoFAFmW9a997WuXg8Hgph9rt/niiy+K80OXLFVYrO46OWy3tbWNff3rXz9XV1eX96iohNQUarH2TtWEMWNsP4BvonAuuEgURamurq4pEom0+Hy+zTZP+x90g1wutzg5OXnLMAwdwDEA7YyxP+acpzdRVgbg2yiEOdrb2w8JgiABwODg4O1qCOLh4eGOkZGRw4qiaKqq5hVFyauqmg8EAtmRkZGjQKFGrGla6WpVdiAQSNTX18effPLJm7RaEiGkVlRFGDPGegH8Nkrmd47FYg3RaLTF7/c3lHeIYoxxVVW1QCCQ9fl8GvBlbzrLskTDMCTTNGX3pzOmdRW/39/Q1dV1YmZm5kYymVwB0Azgtxlj3+ecm+W3LzMI4AAANDU1tfr9/noA2LNnz+zBgwcXHuvFqAC6rotXrlz5SukkHWvJZrM2nPfgwMDAuWeeeeZWIBB40GtHCCFVZ9eHMWOsHcBvARAEQRBaW1sPhMPhPYIgyKW3UxRFa21tnd+7d2+8qakpLcvyps8/2rbNcrmclM/n5XQ6rY6NjbXOz883i6KodHR0HJ2fn7+1sLAwC6ADwKsAfvaAh3SbpOXGxsZuAFBVVTt58uTIwzz3SvX5558/5QYx55yv1VvTsixb13URKPSQ/upXv3qdOmYRQmrVrg9jFHpGS0ChN3IoFNrjXiGKouXOwLR3796VR12SUBAEHgwGjWAwaDQ0NGQ7OzuXb968uXzjxo0e27aFpqamXk3TcqlUKgHgKcbYWc75muvgOsHUCQDhcDjGGBMB4NChQ6M+n2/X1wrn5uaid+/e7QMKvaKTyaTAOeeCIHDGGGeMgTHGbdtmcFoyTpw4cZ6CmBBvlI0zrvVOknyd7W1XDWFcDD1RFIu14aNHj944cODAoqIo1lb/QcYY+vv7ZyKRSPbTTz89atu20NLS0p1KpS6gEDBvMMZ+yDnX1rh7B4AwAASDwZjzeLyrqyu+1eXcabZt4/PPP3+Wcy4CQDqdBpzjD845W2tgfTQanR8cHJze4aISQkhFqYbqSDGMTdPMA4AgCHZfX9/8dgRxqY6OjsS+ffvuAYCiKOH6+np3jHAXgL/HGKsDCmnEGIs4ncx+3bkNCwaDTQAQi8WWH6bZvFJdu3atJ5FINANALpcznVWTEIlE4k1NTROxWGwuGAwuK4qSFQTBAMBPnjx5wdNCE1K7aNWmClINNeM0AAuAaBiGBhTWAdY0TVRVdVvDGAAOHTo0de/evTbTNOWWlpZDtm3bKysriwBaAPynjLE0Cr2zV73W0Wi0ThAEBQA6Ojrmt7uc2822bQwNDR13tnkulxMAQJbl/JtvvvnOWlNW6rou0NhhQgipgpqxc74jCQCGYRTHoyaTSd+6d9pC4XBYP3r06C3nfKjY1tY20Nzc3OFczVBokl4VxLIsyy0tLT1AoRZ/4MCBXd+DWhAEhEKhFaBwpO0ebTvDldYcqkVBTAghBdVQMwYKTdV1uq4Xz9Gm02m1qakpsxN//ODBgwuc8+uXL18+bNu22NjY2B2JRFoSicQM59wWRVFWFMUny7JfkiS/JEk+OE1EBw8eHK+GjlsA0N/ff+Xs2bOtjDGmqqqVz+cFXdcDn3zySc9zzz132+vyEUI2Rk3W3tn1NWNHAgB0XS/WjDOZzI7UjF3d3d0Lzz333CVVVTWgcA65qampt7m5+VBDQ8PBcDjc7vP56iVJ8sMJ4paWlrknn3xyYifLuZ32798/G4lE4gDg9/tFt2fm0NDQgG1TJZiQSlLaidrLclQIz1+DqgpjTdN0ON3Rk8nkhhNObIeWlpb0q6++eq6rq2tcUZRV50glSTJDoVCqubl5fv/+/RMnTpy4+vzzz9+stiPRvr6+q0Ch05rbDJ3L5SLnzp074G3JCCGkclVLM7U7LIjn8/kVn89XF4/HGznnwzsddj6fzzxx4sT4sWPH7q6srPgFQeA+n8/w+XxmtQXvWnp6eiZu3LixkslkYn6/X9Q0jQNgN27cGDh16tSY1+UjhJBKVC0142EU1iFGKpWKA4CmaerMzEzEqwKJosgbGhqydXV1Ob/fXxNBDBQ6cvX09Fx1tpksyxYAZLPZkLclI4Sso3QCADqf5JGqCGPOeR7AKAAkEokFOG+usbGxFi/LVau6u7vvutvuQYhlWTKdNyakotRGDWET5ufnG70uQ1WEseM6AOi6rudyuSUAmJubazEMo5qe467gNMlbwKremUI2m5XXvxchhHgjEAhk19i9owcr1RRUNwAYAJBIJGYBwDRNaXR01PMjnlokSZIBFJqtXYlE4oFLUxJCyE4LhUJZYFUPcwA4uJNlqJowduaBvg4Ay8vLi7ZtGwAwMTHR6mnBapQkSSawetxiOp3e0eFmhBDyGO7t5B+rmjB2XAIAzrmdTqfnAGB5ebkulUop3har9oiiqAOFTlzuPgpjQiobrZ62Sv7BN9k61fbKT8CZGjOdTi+7O9PptOpZiWqUWzMu/XDn83n6PxBSIdZaRa3WlY16oXPGj8qZp9oAAMuyivMha5pGHYd2kK7rYiqVqgMAy7KKn3hnDWNCCKlIZQcoO3q0UlVh7DCA1Wsbm6ZZjc+zYg0NDXVZliUDgKYVpgtnjFlHjx4d97JchBBSqaoxpFQAEEWxOLtYfX39jiwYQQomJia6gcJSiqZpigBQX18/u9YyioQQ4rVKaLKviTBWFGXb1zUmBSsrK4GVlZUmANA0zYJz3qW3t3fY04IRQkgFq8YwtgDALpnuiZqpd87U1FQLnPeVrusMAGRZzh87duzuhnckhJAaVo0hlQMA27aLawTrul4tC2LsKm7Tj9/vT0mS5H07ECGEVKhqDOM8AJimWexNnc/nKYw9xBijICaEkA1UYxjnAMA0TaoZE0IIeRh8ne1tV7VhbFlWaRjTOOOdU43vKUII2VbV+MV5XzM11YwJIYRUsmoMY7dmbMFpZqAwJoQQsh7OueezA1ZjSBUn97YsyxBFUcnlcrRAASGEPMD09HRbOp0Olu7bqAOm3+/Pdnd3T29/yapfNYZx3N3QdT3l9/sbEolExMsCEULIbjA+Pj7wMLdvaGiYpjDeGtXYTD0Fp3k6l8slACCfz/vv3bsX87RUhBBSZXw+H001vEWqrmbMOdcYY/MAWrLZbLK+vh4AcO7cuYFIJHIuGo1q3paQEEIqh2VZ4srKyqopg0vnai5bVhCMMR6NRiUA8Pv91RzGNLRpC9wDgGQyubK8vDwOAKZpSmfPnn1C0zTR05IRQkhlYbZti6UXznnxssZ1xXQOhUIpLwteTaquZuy4AmAAgG9mZmZcFEUpEol0ZDKZ0JUrV/adPHly1OPyEUKIp+rr6+Oqqubc3x/UoziRSDRxzkVBEIo1xkgkQmG8RaoyjDnn9xhjfwTg9wCEJicn73R3d0cVRQnPzMy0AKAwJoTUtDfffPNXm72tbdv4/d///d8BAEH4skE1Foslt6FoNalam6nBOV8A8J77q2EYOQBgjNnr34s8rkpYF5QQsrUWFxcDnHMRANyasSAIZigUym98T7JZVRvGjmLNX1XVEAAEAoHc+jcnhBBSLh6PF4eHCoLAAEBRlHxpLblK0NzU26QDACRJkiVJCgBAXV1dwtsi1Q7OOWzbFjRN8+fzeeo4R8gutby8HHa3RVFkAFB6vnm3oxm4tl8HAIRCoeIbqbGxkc5xbKOlpaXw0tJSBAByuRw454Ku6/4//MM//Ds+ny8TDodX6urqFvfs2bPQ1dU1H4lEdK/LTAjZWCqVCrnbbhjXwBjjHa0ZV20YM8YCABoAIBAIRJ19vKWlhXr/bSPOObNt221xKT0/L+Tz+XA+nw/H4/G9t2/fxkcffcQVRcmGQqFELBZb2rt37+zRo0cnvSg3IWR96XTaDWMuOG3T1TjG2Ms+L1UbxgD2uxs+ny8CAIFAIOvz+cx170G2lM/n44qi2IwxC4BpWRazLIvhy9MjTNf14NLSUnBpaaltdHR0IB6PX3jppZeuelhsQkiZXC4XAIodYEUACAQCaU8LVWWqOYx7AEAURUlV1SgARKNRaqLeQaFQiMmyLAAQBUEovtcsy7JN07RN04RpmrBtW+CcCwBw48aN45IkmV/96ldvelZwQsgqhmGowOphTYFAIOtZgapQNYdxPQAEAoEgY0wAgKampmVvi1T9yqfOQ6GpetVwMlEUBVEUBVVVi/sMw7BSqZQAgH3xxRenJiYm9p04ceJyf3//7LYXmhDy0Eon/6gWZd9fO9qpq5rDWAUAXnISIJ/PK94VpzbIspxijCUYYxAEwRIEQYhGo/Nnzpz5cHZ2tnlxcbExmUzWZzKZqKZpgZL7iaFQyEqn0wIAtrKysufdd9997dy5c/NPPfXUpYGBgRkPnxYhhGyrag7jEQB70ul00rKsvCiKvtnZ2UbqILS9GGO8ZP3T4oFQXV1dpq6ubgzAmLsvnU6rMzMzTbdu3RpcWVlpVhRFjEajdjabtQzDEAGwRCLR/Itf/OLg4v5cAAAgAElEQVTV8+fPx48fP35pcHCQlmsjhGypjdZs3inVPM74mruRTqfnASCRSMQmJyej3hWpJmz6TR0KhbSenp7JV1555eeRSCQOFJqww+GwFI1GuSzLptuykUwmmz744INXvve97/36lStXOrar8IQQ4oVqDuM5AAsAsLS0NAsnJD799NPBW7dutXhZsGq2zhHmhudeFEWxXnvttb/p6em5JMtyDvgylGOxGFcUpRjKqVSq8cMPP3zpe9/73jcvXrzYuQ1PgRBCdlzVhrHz5X0ZAHK5XDYejw8D4LZti1euXDk8NDREgVxBFEWxTp06deXNN9/8i97e3guKohRDORQKFUMZzkFVKpVqOHv27Ivf/e53v3X+/Pl9tk1TjhNCdq+qDWPHJwBmASAej09PTU19Ydu2CQCjo6MdtKjB1lujN/VDkWXZPnny5NXvfOc7f3Ho0KFzqqpmgS9DORqNrgrldDpd//HHH3/tnXfeefLxS08I2Uhph9gaWHRnR3tTV3UYc84tAD8E4J4zXk4kEvcAIJ1Oh2dmZiIb3Z9sjUc56JFl2T5x4sT1N9988y/6+/s/V1U1A9wXygacUB4eHh6YnZ0NbfighBCyMc/mqK7qMAYAzvkygD8CkAaAxcXFGThf4Hfu3GnzsGhkE0RR5MePH7/x5ptv/ujIkSOfuvPhOqEsB4NBCwBs25Z+9rOfvfT2228Pjo6ONlCzNSFbigGP3/JF1lfNQ5uKOOc6Y+xdAN/WdV3PZrMLgUCgaW5urjmbzd4JBAKG12WsFqUduEpbtB73cUVR5MeOHRsaHBy8dfXq1b6RkZGBfD4fUlVV0jTNNE1TymQysaGhoeNDQ0PHJUnSIpHIYnNz82xXV9dUV1fXYhUu90YIqRI1EcaO6wBeBeBfXl6eDgQCTbZtC+Pj4w00y9PuIYoif/LJJ4e6urrG33rrre+YpqkGg0Ehk8mYlmUVp9U0TVNdWlpqW1paahsaGjouiqIWjUYXm5ub57q6uiYpnAkhlaRmwphzbjDGrgB4JpFIrLS2thqCIMhzc3MUxrtQJBLJ9/b2Xrlx48ZJURSFSCTihrCl6zo3TROl4WxZVmk4HxNFUYtEIkvBYDCtaZpP13XVMAzVNE25o6Nj9KWXXrrk8/ksb58lIaRW1FrVwF18gOdyuSUAWF5erqNe1VtnrXHG27Vw95NPPnmjoaFhurRXpyRJYiAQkCKRiFRXVydEIhHL7/ebkiSZpbezLEtdXl5unZyc7InH43sTiURzNpuN6roeGB0dHfj+97//t371q1/1PM65Z13XhS+++IL6JRBCHqhmasaOewAMAHIul0sGg8EW0zSlRCLhi8Viea8LRx6OIAh4/fXX387n89Ldu3fb5ubm2paXl5vT6XTMrRFLkiRKkgS/3w+gUHM2DIMbhgHLsgTbtpkgCNydxtNdQUrX9cCFCxeevX379qHTp09/2tfXF3+Yso2MjDR88MEHz4dCoQRN4UmqUQ105qKFIrYL59xmjM0C2JvL5YprcS4sLIQojHcvn89n9vX1TfT19U0AQD6flyYmJtpmZ2fdcI5yzkXg/nB2rPrQ5XI5M5fLCQCEVCrV8POf//wbly9fvvviiy9+3tTUtOGycbZt4+233z42PDw8wDkXw+EwrRRGCHmgmgpjxyyAvdlsNo3CECe2srISgjN1Jnk8jzId5lbz+Xxmb2/vRG9v7wQA6Lou3r17t3VmZqZteXm5xak5i+vd3+/3S6qq8mw2a+q6LgJgc3Nz+3/4wx+2Hzx48Oazzz57LRQK6eUdwO7duxd95513Xkin0/XuvkqYgJ6Qx7WVIyPI2mo1jGFZlmWaZk6SpEAikaDJIqqYoihWT0/PZE9PzyTwZTjPzc21AmCKouT8fn9OkiRreHi4P5lMNgmCwEKhkGSappXJZLhlWZJt2/Lw8PDg8PDwIADuLBFpCoJgiaJoapoWtG171WdKEAQa8ExIhauEg+ZaDOPiuriapqUlSQqk0+mwlwWqJrvhPFJ5OJfq6+sbu3HjxsGbN28+pWlaQJIkMRqNQtM0M5vNspIaNbNtWyoPXwCQZdl0l4CshA85IaTy1WIYzwOwAQiapqWDwWCzpmlqNpuVafKP7bGbeqsLgoCBgYE7vb294+fPn39yfHz8sG3bkqqqkqIoXNM007IswJmm17kw5zkyn8/HVVWVFhcXOWOMasaEkE2puTDmnJuMsQUAzaWduOLxeGjfvn3U2YYAKNSeT58+faG/v//m559/fmp+fr6TMcZ8Pt/DfmZ2z5EIIQ9W+n6uxgNNts72tqu1ccauWQBwOnEBAJaXl+m88RYoqwnu+iCKxWLZV1555f3nn3/+ryORyIIkSZogCA+cDIQ57fWCIOz614AQsv1qrmbsmAEwaBiGblmWLoqiQp24tgUr+7lrdXZ2znd2dv7U/d2yLJbL5RRN05R8Pq8YhiFfvnz5VDqdriu9Xw0sM0dqw67/DFe6Wg3j4vSXhmGkRVGsz2azAS8LRHYXURR5KBTSQqGQ5u4bHx+Pp9PpOmfNVwYACwsLe37yk588wxizncoyFwTBZoxBkiTzlVdeueLRUyCEVJBaDWPd3eC7qXfRLlDWm7qmXtu1pv1Mp9P1peOOS4miaFAYE0KAGgxjxlgIwNfd3wVBkAFAFEXTs0KRqlAWxsXjPLbOeC86DiSkMlTCkMyaCmPGmArg3wOwx90ly7IfAAKBAE2HSR6LOx82Y4zV199fGXbTOZ1OW4ZhSKDzcIQQR82EMWNMBPCbcILY5/P5Gxsb292acSQSSW90f7I5pR2W3Jrfdq3aVGls297webo15Eo4CifkcVXjeuBln01aKGKbvAygGwBisVhDW1vbAJwX2+fz5Q8fPjyz0Z0JeZDOzs6xYDCYQmF2LobC+4vZti3Yti1MTk72lt6+Vg5SCCEPVhNh7NRIBgAgGAyGWltb++EEcTAYTD/99NNDsizTEBTyWJxVoybWui6fz0s/+tGPete6jpBKR/0btl9NhDGAMIAQAMRisRanyRqHDh0afuKJJ6ao2XDrrPVa0gd53ck/6I1HCAFQO2Hc5m74fL4wAAQCgczg4OCUd0UitaRswQg6OiGErFJ9Z+DX5oYxUxQlDAB1dXUJD8tDakxpzdjtyEUtBoRUDM8/jLUSxu0AEAgEAm4TdV1dXcrbIlWndZYMpObYtdHrQnYzzwOsmtRKGMcAQFVVv7sjGAzSuGKyY3bTQYppmmxsbKwunU7LXpeFkFpRK+eMVwA0GIZRnAZT1/Vaee47ilYpWtt6YzLPnz+/z1kPudh0zTkXSsdol1zcfYK7jnLZbYp/jnOOkuFVq9ZcLr8P55yZpimnUqlILpcLa5oW4JwLr7766lt9fX3z2/WakF2lIg8ct4FnSyjWSiDlAUDTtBwKTStsaWkpAiDuaalIrSkuIOH6+OOPv+ZRWQghFaRWmqlnAMAwDMOyLMPZFr0tEqlBFd1qwBizN7NWMyFk69VKzdhwN2jRd+IVxhg45/D5fIIsy1b5devdfp1x8OutP7Hm47ibG/1NxpiQz+fNbDa7qcclhGydWgnjYi2YMSYAgCAINOPWNnjQ/Mw1jgOAKIqCKFLDDCHkSzUXxnBqB1QzJjstFAqtuJ2u3KHGJb2subtvjevL96HkPutd7+7jpfcp+b103DOfmprq2Y7nTKoXfYdurZoLY6oZE6+88cYb/5/XZVjPX/3VX7Vks9mI1+UgpFbVSgeuEPBlEAMUxoQQslk0W9z2q5Uw7gaAcDhcPPL3+Xz6+jcnhBBCdk6thLEMrJ6BC7UziL0S0GE1IWQ38GxBl1oJ4xUASKVSK5xzCwCGhoa6VlZWfN4Wi5DK4HYsI4R4o1bC+CoA5PP53Pz8/C0AME1T/vjjj48YhlErr8GOoC91QqpX2dh0avHaQrXSm/pzAL0AuhYXF+f9fn8kEol0pNPp8Kefftp75syZoc1OoEBIrbh58+bBu3fv7gG+HMZS9jmxS/e5w6XcnydPnhwOBALmDhaZkF2rJsKYc24zxv4SwN8HEJ2amrqjqmpIVdXYzMzMnuvXrycHBgamvS4nIZVkYmKi73Huf+TIkbsUxlWj2msrnj+/mmmi5ZxnAPwQgMk55xMTEzcsy9IAYGhoqHt6eprGWBKyhWhSiOphWZYMrG4ZoREpW6smasYuzvk0Y+wtAN8yDEOfnp6+3tHR8aRt28Lnn39+5KWXXroQCoXoDbbF6BTA7qGqqijL8iOPwc/n87amaRJAYVxNTNN0w7j4Pw2FQjSJ+RaqmZqxi3N+EcAFAEilUsmFhYURANB1XX3//fePLS4uBjwtICEeYowxZ+7sR7qUflnTxDrVIZvNSrZtS8CqA2s7EAho3pWq+tRUzbjEXwPYA6A9Ho9P+3y+UDgcbsvlcv4PP/zw+IkTJ651dnaueF3I3Yhm6tmdWlpaJnK5nHsgWpjcenXPeHffmr8vLCy0AxBK7yOKIr0ZqsDy8nKxgiIIAgMAWZYNQai5uty2qskw5pybjLF/g0KHruC9e/dut7a26nV1dftN05Q+++yzo+l0+nZ/f/+M12UlZCecOXPm3OPc/wc/+MHvlB+IUTN1dUgmk8XJktyasSRJxrp32MXK3sM06cdO4JwnUOjQlQeAmZmZ8bm5uZucc5tzzq5du9b32WefdVFNj5BNua9jAIVxdUin08UwdmvGkiRR35otVrNhDACc8wkAfwRgCQAWFxfnJicnr9i2bQDA3bt3Oz/44IMjuq7T4rOEbGCtg1YK4+qQzWaLMxW6TdOyLNP54i1W02EMAJzzBRQC+S4ApFKpxNjY2AXDMDIAEI/Hmz788MMBL8tYBehLufpRzbhK5XK50jB2zxlXVRhXQgtozYcxAHDOswD+BMAVANA0LT86Onopn88vA8Dy8nIdzWP96GhoU3Wz7cJEXOX7KYyrg6ZpPgDgnHPBqRqrqpr3tlTVh8LYwTk3AfwYwHsAYFmWOTs7O+JePzY21uxV2QipZOvMR86pt211yOfzKrB6jLGiKBTGW4w+LSV4wS8BfAQA2Ww24zZXT09Pt1RCU8YuQNXgGmPb9pphvOMFIdvCMIz7wphqxluPwnhtl92NVCo1BwCZTCY4NDS0x7si7Q6ltSRqnq4Npf9z94CV/vfVQ9d1H/Bl5y0A8Pl8FMZbjMJ4DZzzJQD3AGB+fn7KncP61q1bB6hnNSGrUc24upmmqQCra8Z+vz/nXYmqE4Xx+t4DANu2rcXFxTGgMGXmF198sdfbYhFSWWgN6+pWMi91cV8wGKzWMObrbG87CuN1cM7HAdwEgIWFhVld11MAMD4+vjeZTKpelo2QSmJZ1n1hXFqLIruXbdtrhnE4HKZFIrYYhfHG3gFgAcD8/PwdALBtW7xy5coBT0tFSAWxbXut7xEK4yrgVDwE4MtzxoIgWD6fj9ap3mIUxhtwzh1/DgDJZHIlm83GAWBmZmbP7Oxs2NPCEVI5qANXlUokEsVFIkrmpaapMLcBhfGDfQQgCwCzs7OjnHMbAK5cuXKQhjrdr+w1oW/kGlDagaskhOnDUQVKF4lwa8YUxtuDwvgBOOc5AB8AQD6fzyWTySkASCQSsTt37jR6WTZCKsE6Q5sojKuM+781DEPxuChVicJ4cy4AWACAubm5u+5CEjdv3jxomia9hqSmrTO0CaOjow0/+tGPnlteXqapZHepgwcPzsNp5TDNwmliwzD8pTVmsjUoSDaBc24BeBsATNM0l5aWxgEgl8v5r1271u5l2XYJqiVVsfIOXLZtC9lsNvrTn/7016enpw/++Mc/flnXdfqu2YUCgYDp8/kywOpe81NTU1U1AVIlDM+jD8jmDQMYBYB4PD5tGEYWAEZHR/dls1nZ05IR4iH3i4xzLhqGEcrn8xHLshQ4fQZSqVTDX/7lX37VWVCC7DLhcHgZWB3Gi4uLdIpui1EYbxIvnDD5ubPJ4/H4HQAwTVO6fPnyfk8LV7moRlwDOOeMc+7jnIdt21acfVyWZVMQBAsA4vF4589+9rOnH+Xx8/m8uLi4SM2iHqmrq1t0NgXLsmwASCQS9R4WqSpJXhdgN+GczzHGLgE4vrKyslhfX7/s8/nqpqam2uLx+HRTU1PG6zJ6rRKae8jOSSaTvs8+++wFzrl7XpgLgmCrqsrD4bBkWZadTCZtzrkwNjZ25Je//GXiueeeu51Op+Wpqam6cDica2trS7mPNz8/H7x7927T/Px8w8rKSn0mk4nm8/mAIAj24ODg+eeff37Io6das1pbWxdu374NADAMwxZFUchkMjGPi1V1KIwf3i8ADABQZmdnR/bv33+Cc85++ctfHjt06NDI4cOHZ2t5jGVZGNfuC1EDpqamGj7++OOv5/P5EFD4omaMCYqiMHctY1EUhXA4bCWTSQ6AXbp06fSlS5dOu48Ri8VmQ6FQKplMxrLZbMQ0zTVnt7NtW7h8+fIzMzMze775zW+eDQQCNOnEDuno6HBrxu7a1bAsi7Jji1Ez9UPinKcB/BIoLLGYSCTuAYXm6mvXrh167733BhOJBE2XSaratWvXDn744Yeva5oWYIwhn8/b6XSauQdjsiybAGAYhpXJZIB1DsxWVlb2TE5O9iSTyabyIGaM2aIomoqimABsAJibm9v/p3/6p2+Mjo42bOsTJEXugRXZXhTGj+ZTAAkAmJqaGp2enr7qruy0tLRU/+677z597dq1NpoUhFQb27Zx9uzZpy9fvnzGtm0JANLptJXNZgUniHkgEMj5fL5MMpk0U6mUaFmWu9KZLQiC5Z5HLsEFQbBkWTZ9Pp8ZCoXMWCxm19XVCdFoVAqFQlI0GoUoihYA5PP58FtvvfX6Bx98cLi8bLdu3WrK5/O0stoWWm/oGtla1NTwCDjnBmPsxwD+FoDQysrKYiqVOtfe3n4wFAq1WpYl3bhxo3dqaqr5+PHjw7V+LrmWm+2rSS6Xk99///2vLS0ttQGFTlqpVMoyDENhjFmCIGSCwSBs29ZzuRxEUYSiKKYkSUwURYExJgBANps18/k8VFU1VVV1r9swQEVRFCKRCM9kMqau65Jt29IXX3xxanZ2tvXll1/+5PLly12jo6O9uVwuKstyrre398Zzzz13XVEU6sJNHtWO1qYojB8R53yMMfavAbwGYNCyLHNiYuJWNBqN79mzp08URTWRSMQ++OCDE52dnfeOHTt2V1GU8hoBIbtCMpn0v/vuu69ns9kIADgdszjnXGKM2YqizL7yyiu/GB0dHZidnT3g860/zwfnHLIsm8Fg8L7vH8aY7ff704FAIBGJRJYbGhoWlpeX6+/cufMEADEUCkmapplOTVyYn5/v/MEPfrAXJc3ghmH4r1+//tTw8PDhQ4cOXT1z5syQJEnUTEUqGoXxY+CcZwH8FWPsGoBvAggnEomldDr9eWtr64FIJNLOOWd3797tnJ2dbenv7x/p7u6OU02R7DZDQ0M9bhDrum6m02kBgAgA0Wh0/o033ngvFotplmXdmZ2dLa5qpqpq1ufzZQRBMJeXl1uBwhzHgUBABABJkrTm5uZ7sVhsqampKb5nz55FWZbLa7MTbW1t05999tkLmqYFVVWVJEmy0+m05TSBM6AQ5LIs24ZhCJxzQdf1wBdffHHq1q1bR/r7+7949tlnb7vzK5PNW2vucZrudOtRGG8BzvltxtjvA3gFwHHLsqzJycmRQCAw29ra2quqakTTNPXSpUtHRkZGkoODgyPt7e1Jr8u9Q5hlWYEH34xUsng83goUasSpVEpkzrfy3r17b3/zm9/8xK15dnV1Tem6/mF9ff1KY2Njwg3WiYmJ5o8++qgVAPx+f/F759ixY7/q6+ubeNDf7+zsnG9oaPjJRx999MLi4mK7KIpCNBpFJpMxTdNkqqpyVVVFxpjEOee5XM7UNE3gnAuapoUuXbp0emhoaGBgYODKqVOn7lAok0pD78gtwjnPc87/LYA/BrAIANlsNn3nzp2L8/Pzt9z5rFOpVOSTTz45Ojc3F/KyvNultNMa51y2bTtcMgaV7EKWZbFkMtkIFIcvMQDo7++/8J3vfOfj0iZgURT5kSNHxlpbW5dLa7iZTOa+A7L9+/ff2EwQu4LBoP7qq6++c+jQoQuMMcvZJ0WjUdHn80luuRhjLBAISLFYjPl8PpMxZgNALpeLnDt37rnvfve73z537tx+mhFsc9aZO4BqxluMwniLcc5HAfwBgPcBmACwsLAwMzw8/Nni4mLGNM0Gy7L8n3766ROpVKoqVz/hnINz7uech0DvsV1vbGys1bIsGQAMwwAACIJgPv/889c3+xj5fH7VAVk0Go2fPn3684ctiyAIOHHixNXnn3/+b9w5kwGAMWY1NTXdGxwc/FU0Go07+4qhrKqqCSdAstls7JNPPvnq97///W9dvny540F/c2VlRZ2amuoqn4ObkK1EzdTbgHNuAviQMXYVwOsAeizLMufm5kZ1XW9taGhoM01Te//99/1f//rXzwaDwYpbH9S2bbz77rtfS6fTMVmWdVmWNUVR8oqi5H0+X87v9+f9fn8uGAxmIpFIVlVVQxAEpNPpGIAw51yEMzaU7G7T09Od7ra7SlkkEll4mJ7K+Xy+OJ2lLMv5F1544ReP01S8d+/eeGNj44/Pnj17OhAIpJ944okbkUgkBwCDg4PDIyMjHdevXz+eSqXqGWMsGAxKfr/fbb4WAbB0Ol3/0UcfvXT58uX4U089demJJ56YLv87Fy9e7Pzss8++YhhGwLIs2efz1crppSIa2rQzKIy3Eed8iTH2ZwC6AXwLgH95eTmpKIocDofDyWSy8yc/+clvNTU1Tfb09Nzcv3//nMdFLjp79uzJ+fn5fZu9vSAIliiKeiaTCTlBTKrE4uLiHgAwTdNy/7d79uy5L7g2ommaWzO2n3rqqY/c4Hwcfr/fePnllz9c67ru7u7Jrq6uydu3b++7efPmsUwmExMEwQ1lO5vNWrquiwBYMplsev/991+5ePHi/MmTJy8cPnx4Lp/Piz/96U+/Mj093e0+Judc1HU9yDnP1nonzFp//tuBwnibOQtMDDPG/i8A/yEAe25ublGSJMnv9/tt25bm5ub2z83N7b948WJi7969IwMDA0N+v9/wqsyXLl06NDEx0Q8UOuzYts0FQWCCIDC2zqfQtm3Rtm0/Cj1buWEYnM7J7X7JZNKXyWSiAKBpmg2nB/WhQ4fuPszj6LruA4Curq5r3d3dDxXkj0oQBBw6dOhub2/v3Zs3bx68devW0Ww2GxEEQQiFQoJlWXY2mzV1XZcYYyyRSDS/8847r58/f34mm82GNU1z+3VwSZJs0zRhWZaczWZ9wWAwvxPPgdQOCuMdwjlfYYz9OYDnAETm5+eTsVhM9vl8UFVVAoBsNhu9devWU8PDw0cbGxunQqFQ0mka1n0+n+bz+fJ+vz8fCATyfr9f344eoSMjIx03btw4CQC2bXNnLGlpTZczxooXQRDAGANjDIIgwDRN5PN5jsK5YptzzgVByG55QcmOGBsb64QzdMg0TQYAiqJkOzs7Ew/zOIZhqHV1dTPPPPPMxW0o5oYEQcCRI0fuHD58+M7Vq1d7h4eHB/P5fMiZN7sYyoZhSACYOwTLua8VDocZACEej9umabJcLudzZwOrBes0U1MHri1GYbxDGGMygOMAJgH0W5ZlWJYlZTIZZLNZW1EU2+fzCaIoCrZtS/Pz8/vm5+c3ekhbkiRDFEVTkiTDueiSJOmKouiyLOsPG+Rzc3PR8+fPP885F9zZlTjn5e8R5iyZBwCwrNXfSc4E8oLznE1BEPKCIFAtYpeam5trBwotPKZpiowx1NXVPfTpFFEUjTNnzpz1ckiRIAg4evTo7YGBgeErV64cunPnzhOapgXKQtnSdV1kjEFVVcudmIRzjrq6Ora4uMgBsEwmE8hmszQHPdkyFMY7gDEWBfDbAFoBzAPI2rbdBmAPAMkZCynk83kuSZJZWlvegGCapmqapqpp2sMWyZYkyRRF0RBF0ZBl2ZAkyUin0zHTNBWgMN+wuzJLLBabbW9vv5fL5fz5fN6naZrPMAzVMAzFKYPCOS/9luWSJOVFUcw+aJpDUrls28by8nIzAOi6bjHGJADYu3fv1MM+1qlTpz4NhUIP/UbdDqIo8uPHj988evTo0KVLl/rv3LkzYBiG3w1l0zQtAJAkyf0McgCQZZnFYjGezWbBOWdrDdeqRrQs6s6gMN5mjLH9AH4TQBAAwuFwtK6ubo+qqhFRFKdyuVwwl8uFTdNUGWPMrS07K92sahJ2m4NLm4VLtovndAVBeNCHRzBNU3GDt1wmk3Gb7BAIBFZ+4zd+492NlqyzbRvJZFJNJBKBq1evHhwZGRkUBIFOGO9yMzMzDYZh+IEvhzQBsAcGBjY9NthVV1dXcfOzi6LIT5w4cX1wcHDo0qVLA+Pj44cNw/BJklQ8gAwEAsmnn376lxcuXHgxmUy2KorCslk661IjaG7qauB0dHoahbmrBQBobm5ub2xs7MaX8+jyWCy29MYbb7w3NzcXuXLlSv/CwkK7uxoOypqEH1J5iJeGOXeC+74g13Xd0jRNAgBZlnPf+ta33nnQ2rGCICAWi2mxWExbWFiYHx0dpSCuAvfu3dvrbhuGwQAgFAqtRCKRihuK9zgURbFOnTp15ejRo9cvXrw4ODExccg0Tbmjo2P49OnTnymKYg0PD08nk8kmOB3YCNlqFMbb52sAngcAxpiwd+/e3lAotMe9MhaLrdTV1SUOHDgwV19fn6uvr88dPnx4LplMKufPn+9JpVJhXdcVwzBkwzBUy7JkwzBky7Iky7LkTQwfetQgl4DCpA4vvvjiL5qbmyuuRkN2xsLCQhtQ6FHvvt+amppmvS3V9vH5fObp06cvHjt27Go8Hq/r7Ows7bTBGWMZACHUWCDXWAcuz54XhfEWc2rxcxYAACAASURBVM6RPu9coCiK2tnZeURRlAgAqKqqnTx58lpra2tqrftHIhH9xRdffODMRtlsVkomk75UKuXPZrNqNptV8/m8qmmaqmma+phBbp88efJXfX198Yd8+qRK6LouJpPJBmfbhtO6c+DAgXueFmwH+P1+oyyIAcBtUcoACKNklShCtgKF8RZx1modBPACgDoAkCRJ3r9//5OSJPkBIBqNJp599tnroVDosZv5AoGAGQgE0nv27Ek/7H3z+by4srLiT6fTaiaT8edyOTWXy6mapimapvnq6+uXTp48OfYo5aLJAKrD2NhYu23bIrDqfDFu377dNTo6uleWZVMURVNRFEOWZVNRFENVVV1VVdPn8xmqqhqBQEAPBAJGlS1faDHGspzzoNcF2SmlrWslqzZ5VZyqRWH8mJxzwwMAvgqgwd2vqqqvo6PjsBvEbW1t01/5yleGRVH0/IvJ5/NZTog/dJCT2jAzM1Ocs9mdAhMAJicnex72sRhjliAItiAI5r59+0a+8Y1vXNiqcnqBMWYAoOF6ZEtRGD8ipybcC+A0gOLcvYqiqC0tLZ2hUKjVuQ1aWlrmnn322dt0NEl2i6WlpRYAME3Tdtautd0+COvNwrYezrloWZZoWZYsCEJVTJbBGMuLolgT3arLhi0Wd+94QbZRJQzfojDeJCdYowDqURgv/BSc5mgAUBRFaW5u7gyHw21uCANAU1NT/PTp07coiMlusbKyEshms1EAkCRJqKurW3U9L3CnegXnnNu2Xdzv7CtebNuGO1QuHA5XTYdAQRAqYtw0qQ4UxpvAGOsD8AaA+wb5i6IoNTY2ttbX1+8vneCivr5+8ciRI+PrddQipFI5U2Cui7HiFOWbOsLM5/Ome965rq6OPg+ErIHC+AEYY4MA3izf7/f7A42Nje2hUGhPaQjX1dUt9/f3j7W3t9fcUmukOnR2dk5Go9G3dV2XDcOQTdOUSnvjm6YpWpbl/i45TdCSs1iIZFmWYNu2aJqmChQmhXE1NjZSGO8ylmXd10xNLX1bj8J4A4yxvSjUiCGKotTa2rpfFEVZluWgoiih0tsGAoHswMDAyP79+5c8KSwhW6ShoSHd0NDwWJ370um0+uMf//hvA1+GMWPMbmxsrJpm6lphGMZ9YUwz7G09CuONHQMgMsbYvn37Bnw+X6z8BvX19Yvd3d1T+/btW6KjxbU94gxiZBdbXl6OuNtuGMuynPdyoQjyaNzz/cCqoU1V0RGvklAYb6wJKMwnXRrEgUAg29raOtfV1TVf9/+z96bNbVx5uudzcsO+EQB3QhRFWYstS5Ylb5ItW7LlVVNVPbfa7fJ0RMeN6Zj+AvMVJmIi5nVHR0f0i6rpiq6Oud3u29VVLlfJlkuyrMWiJZHaqYWkSHEFQayZyOWceYFMCNwkSiIBEDy/CATBRGbiAEzmc85/jUSeuUk6h7MUU1NToW+//fZ9SZJ0l8ulut1u1eVyFbxeb97v9+eDwWA2HA5n3W73I8uV1oJMJlO2HDkVnBRF4elA6xDTNMtuOEeMN8jKmNemrjcqUzleffXVy5s2bUrVcjycxodSinPnzh3Udd2r67q3UCgssso42G0zNVmWNVu0816vN+/z+cqC7fP5qlpPOp/Pl8XYSRtxuVwbIhWo0agUY9hBe4SQjSDGVYWL8aMpp244GwRB4DZXzppz8eLF59PpdBwo5foCYKIoCkvl+FZ04AoufM1BEARTUZSioiiqLdgFj8eT9/l8+UAgkA2Hw1m/36+ulhlZVdVFYuz1erm/eB1imuYiM3Wj5IvXE1yMl4EQ4gXQaT/njq4VQimVGGMyUCr2wBgTcrlcpK+vbyeWSYV5lE+ZMUaWEiD7vR41lGUd+AsT/P1+f27Tpk2j9dJvN5VK+W7durUHKDVpyGQyBHZtaNjduARBcB5wHqIoErsD16LrlVIqaZomaZq2bBlHQRAsWZY1RVE0l8tVcLvdBbfbrT6NSXJ2draDMaZYlsVY6Y9o+ny+hloZz8zMxL/66qs9tR7HavLSSy8NLmwOs2BlDKBxzdS1jG/hYrwEhBAZwGewb4CBQKDJea2pqYnP7h+BaZpup24vY4wyxgTGmOv69euv1Hpsj+LixYvM6/VmwuHwdHNz83h3d3fNxPnMmTMHLcuSASCfz1PM/z8ljDFiWRYsa+nFCWOMCYLACCG0UqwrBVsUxaUEWywWi75isejLZrPRpc69UiilPgCyaZrONcBmZmaeO336tNTR0TGaSCQm13sw19zcXOvc3Fzr4/dcP7S3t08tFOPK1CZnYtyoYlxLuBgvgBDiB/ALAO0AEI1GW4LBYCcA+Hy+vM/nMx51/EanHsrKPSWkUCiECoVC6MGDB72XLl2aJ86JRGIsGAyueQBSf3//1tnZ2TagVCzDMRGGQqGpWCw2WSgUfJqmeYrFokfXdbedyzvvOyeEOO0zheWsBxWC/agV9rJWiRUgAPOsF0TX9eC9e/d23bt3b5ckSXo4HJ48evTo1+tdlBudZQK4uJl6leFiXAEhJA7gcwBhAAiFQk3Nzc3bAECSJPPVV199bGvDjU4ulytXKUulUmCMUUEQqMvlqulMeqnOMw6CIFBJkqAoCpEkyfHLLinOoVBoprm5eXzTpk2jqy3OmUzGff369X0AQCllqqoKACCKov7RRx99G4/HF5l5TdMkU1NT/mQyGUin0/5cLufL5/PzBNswDPfC+sIVgr2sud8WbPo0pjtN04h9CmKv0BljzIQ9cTBNU9F13bPehFgQBBIOhxtqVajrOi0UCstqgWVZi17jAVyrDxdjG0KIC8B/B+ABgHg83haPx58DQARBoPv3778Si8Uayue1FuRyucqUFqfIPFmm2HxNWCgulmUJlmWhWCwCpUAp81HiPD4+vuXy5cvM6/VmQ6HQ9GqJ85kzZw4YhuECgHw+bzHGJAB44YUXflxKiAFAkiTW3t6ebW9vX7ayFaUUyWTSOzMzE0in0/5MJuMIttcRbVuw5/kGHcF+0s9BKSWU0vLfmzFGKKUsk8kQSZKsUCgkAkAsFht/0nPXA0v55NczjxPWyr+lYykRRZGvjFcZLsYP2Q1biNva2rojkUg3UFo17dmz51pXV9dcLQe3XnD62gKlKGDGmCDLshqLxZZtSv8IS+iiJdljrKbLLuHszkOLsCxLzGQyUV3XnRU9sUs8LhJnWZaJLMuV4hwsFApBW5zh8Xiy4XB4Oh6Pj3d3d48Gg8EV56Bfv369e3p6ugsAisWi6RRaCIfDk2+++eaNlZ5nKQRBQDweL9iCPrnUPpRSpNNp99TUVGBubs6fzWb9uVzOXywWXU/znqZpSrquuzVN86mqGqSUioSQedkIXV1dI0/5kapOLBabtCxrUSDTeiaZTLY7JUsfBTdTVwcuxijP9l4BALfb7XGEWJZl45VXXhngdaZXTk9Pz1gqleoFAMuyLEqpGAwGp3/xi198XeuxPYoHDx4Ebt261TkxMdE2NzcXe4w4W5IksQXiDFVVA6qqBsbHx3v6+/vL4hyLxSY2bdo0Gg6Hl1zdqqoqDwwMvAqU7LqFQkEASulI77777nfVWIgJgoBIJKJFIhENwPRqnvvMmTNbfvjhhzcBQFEUAKVqXB0dHav6PmvJiy++OAhgsNbjWE2++OKLn65EjCvN1DyAa+3gYlyiB0AMAKLRaLuz8cCBA5ebm5ufqUYvZ31gm3qvA7gOlMR5cHCwY3x83BFnJyWI2I0RHrdynifOAwMD8Hg8uVAoNB2Px8cdcaaU4ptvvjmi67oHAHK5nOmkhm3fvv3yo8zP64WRkZFOoDTRUBRFBIBwODzVYNbehsWpoIaS5YmbqdcILsYldgAlX1AgEGgDSt2XuBBvXGxxvgHgBgBMTEz4b9682Tk+Pt6WTqdjxWKxUpznrZwFQTBlWXZWzmKFOPtVVfVPTExsdsS5sjiGruuWYRgyAAQCgeThw4cHqvup14ZUKtUCAKIoUqfDmaqqAV3XRUVR+E29zlnKPM/N1KsPF+MSAaBkohYEQQKArq6uidoOiVNPtLa25lpbW+eJ861btzrHx8db5+bm4pXiTCmVisXiSszaZSG2LIvm83mn1KB1+PDhqpin1xrTNIlz46aUipqmmW63W8rlcpETJ04ceu+9975phM/ZyFSIcXllvEHEmNemrgE+AJBlWXE2+P1+XtSesywLxXlqasp348aNrvHx8RZbnB2hXcqsPU+cASCbzTInmrm3t/dqo9Q/lySJffDBB8d/+9vffmxZlpLP50VBECxFUcTp6enE2bNn977xxhs/1nqcnOVxrsvK4MkNIsZVhYtxCT8ASJJUFmOv11vVwvqc9U1zc3O+ubl5njjfvHmz48GDB22PE+dSBlHphhcIBJLvvffexdp8irUhkUikDxw4cPLkyZOHCSFCPp8noihSURSFu3fv7gqFQqnnn3/+Xq3HyVmaygpcDpIkcTFeZTa8GNsmw6XEmFfaejrYMs83FLY43wJwCwCmp6e9N2/e7BwbG2tLp9NxTdPK4uzk8rrd7uxnn332e0mSGu5727Nnz2gymbx49erVlxljQjabtUKhECOEkMuXLx8Ih8OZjo6OZK3HyVkMpbTSTA2AR1OvBRtejAEosL8HR4ztilF11yOWs36x83wXiXPFytlz6NChk263u2FXHEeOHBlIpVLhBw8ebKGUitls1gwGgxKlVPr++++PvP/++/9ZjZKjnCfDKdhTaaYWRbFR7481mwhzMQbKeXaCIIhA6UJ7+pK8nAoIsK7rVa8ZC8U5l8vJfr+/4a0xP/3pT7/753/+52Amk4mbpinl83nT5/NJxWLRe+LEifeOHTv2Wx7QVV9UVuBy4Gbq1Ydf9UB5Jk4ptYCla7FyOGvJRhBioBTQ9ZOf/ORrRVEKAFAsFiXLsigArKQABaf6OGZqHsC1tnDRAQwAFIBgmqYOlGaCU1NTvoWtxDgczrMTCoXKE2BBECxRFEUAaG1tvcdXxfXB2NhY8IsvvjgGAJRS2d5cNuHW0kydy+Vc33777eFcLheu2FyeKTzKErfca3bTFGIYhgHAbW/uA1C15kAbXozttjITANrn5uamo9HoFgC4c+dOW3Nz8+0aD4/DaTgGBgY6nXKjiqI4N3i2ffv2WzUcFqcCu9mHXLmtcmVcKzP15ORk6NSpU+9VBECuNgSAWPG8amx4Mba5CKC9WCxqmqal3G53ZGJiosU0zbuSJPGowSdguYYMHI7DjRs3ep3nLpfLCQ5i+XzeE41G1335z0ZDFEVTEARIklS5rer3xcHBwc6+vr63TNNUgFLFOsuyFt1vFnRlKxcqeRTOMZZl1cz8zsW4xACA9wFI6XR63O12RwzDkEdGRiI9PT083eIpqZhJ8wAuThlFUYrO81wuR0OhkMAYE86cOfNOIBD4r0gkwt1DdYSiKPB4PPO0Qpblqpqp+/r6nr9x48bLTmR3Pp83NU0rl5pdLZz4hVrAHTQAGGMa7AYBqVQqCds3kkwmg7UcF4fTiBw7duxsOByeBErBkrlczgQAwzA8f/7zn9/Vdb2hWhU2ItUSY0opTpw4ceD69ev7GWMCY4xls1mzWCxKqy3EtYavjB9yF8AuSqllGEZBlmXf3NwcF2MOZ5WRJIn99Kc//fo3v/nNMU3TArquS6qqmh6PR8rlcpFvvvnmnaNHjx5fSTDXxMREJJfL+Xp7e0erMPQNjSAI1kcfffRvABAIBFbcq/tpUVVV/uabb46kUqlWAKCU0mw2y5xsF1mW1YMHD55qbW2d12u+smd25XNgvhut8rVz585tTyaTUcMw8ul0ug+lBdndtflkS8PFGOUqXGXhLRaLGVmWfdlsNsAYe1xDew6H84QEg0H9ww8/PP6f//mfH1mW5SoUCqIoipaiKOLMzEzn999/v+/gwYMXHnWOZDLpP3ny5HuSJBk9PT2jPBJ7bRFFUV+uJ/dqMz09HTx16tS7hUIhCACmaVrZbJY4ZWN9Pl/q2LFjx1cr40WSJEsQBGYLtOM3rmr8y4a/em0hfh/AO842XddVALCLEijLHctZTOXMky2IpOBwKunq6kofPHjwFCGEEkJIPp8njs9uaGjo+YGBgd7ljs1kMu5vv/32fV3XvYVCIXT58uXt1Rs5Zy25e/du29dff/2TXC7XDADFYtHMZDKC4y+ORqOjn3/++X9VIfWUi3GV2QHgNQCQJEluaWnpDAaD7QAgy7Lh8/l4wwgOZ43YvXv36PPPP98HlMou2t2rGAAyMDDw2sjISPPCYzRNk7755pv3VVUNONsGBwd3c1/z+qevr+/F77///qe6rkcBSIVCwczlciLsINDNmzdf++yzz443YtlYLsZAzHmyZcuWl6PRaK8kSW4ACAQCGW6ifnqcAAteDpPzKA4fPny1o6PjNlCq9pTJZJz+x9KZM2feSaVSTq9oGIYh/OlPfzqay+UiwMPoV13XPX19fS/WYvycZyeZTAZ+97vf/fTKlSvvUEpdjDGWy+UsTdMkUsLau3fv98eOHTvfqO6IxvxUT0YIAGRZlkVRdCqvoLe3997+/ft5EQIOpwr85Cc/OR0KhaaA5SOsKaU4fvz4kXQ6XTZfptPpsml7eHh4Ry6X4yU11xGZTMZ94sSJA19++eV/SyaT3YQQQillmUyGOZYOSZK0I0eO/OngwYMNfT/mAVy2GCuKUhbivXv3Xunt7Z2p3ZA4nI2FJEnsZz/72fHf/OY3/4umaf6FEdZfffXVB4qiqMlksgMADMOw8vm8CIDk83krGAwKpmkqfX19ew8dOnSmxh+H8xg0TZP6+vr2jIyMbLMsS3b8waqqUlVVGUpVsKjH40l//PHHx9vb2xu+GAwX44diXJ5R+/3+4vK7cx4FN+tznpZgMKh/8MEHf/rtb3/7sWVZSmWEdTqdjjv7OZG1sP2IpmlKhmFYsiyLY2NjvclkciAajeZq9kE4y2JZFunr63vh3r17zxuGUV4AGYZBU6kUNQxDkGWZiqIIn8+X/8UvfvFfPp9vQzRR2dBmatun6ZipyxdGIBDgPVU5nBqQSCTSBw4cOFkZYa1pWrnAhGVZ1BZi595FAaBQKGXcUErFvr6+/VUf+Pqkavd/Sin6+/u3fvHFF//t1q1bLztCbJqmlU6nzXQ6LRiG4ZRGpV6vV43FYsmNIsQAXxl7ACgAIMuyCygltnu93g1zAXA49caePXtGk8lk39WrV/czxoRCoSCoqkrdbjfVNK2c4tLT03OlWCy6x8bGei3LEovFoulyuaSpqamusbGxaEdHBy9l+whM0wxTSoOUUsvuWkSvX7/+6oMHDzKWZTHGmAt2bednCcK8efNm4urVq3sLhUK5y5JlWbRQKFBd1ytLWjJJkorBYDDvdrvFjWZl2+hiXO78IUmSCwBEUbQ22kXA4dQbR44cuWpZlnj79u3nTdN0McYEVVXLK7mOjo7bH3300YVUKuX5l3/5l02UUllVVeJylebUly5d2t/R0fGH2n2CdQWxJzhCPp9v0nU9ZFmWwBjzAKXKV5RSglK72RUzPDzc0t/fv6/SxUApZYVCwSoWiyIhRHISLoLB4HQ2m6UVhTc2HBvaTI2KBgaWZRkAYBiGcu3atbbaDYnD4QDA0aNH+//mb/7m/9u6dWu/KIrlOI54PD7ys5/97DtBEBCNRtXu7u6bQMlEraqqCQCpVKr19u3b7bUa+3qCMQbTNKllWdQ0TcuyLLqwYA8hhBSLxfC5c+d2P+58ExMTkS+//PK9U6dOfegIMWOM5fN5c25uDrqul+tKRyKR8U8++eS/9u7de3GjirDDRl8Z76p4Xr4Q7Fkgh8OpMV6v1/zwww9/zOVyAydPnnwxnU6Hfv7zn5+ozDU9fPjwpfv37/cahuHWNE1wu92MEEKuXLmyv6en5382al7qamGLsQAAuVxOFEURlFKiaRqzX2fOdzo4OPhSPp8PHDp06LQoivPEM5VK+fr6+vZNTExsgr3QY4wxTdMs271Q1hu/3z+7f//+C7t27XoAAD/++KOv4lQb8v67YcWYEPIcgDcAwO/3B4LBYAcAhEKh9PPPP/+gpoPjcDjz8Pv9xkcffdS31Gter9d87rnnBip8zKbP55NyuVzk2rVrW1544YU71R7vOoEtXAE72AF0lDEmFotFcXp6mkajUSYIAh48eND7hz/8wX/48OGvPR6Pkc/nlb6+vr2jo6O9lNKypmiaZqqqOk+EPR5PZvfu3Rf37dt3j0+S5rMhxZgQ0gvgUwACIURobW3dBoAIgkBffvnlm9xn/PTwctScWnDo0KFrd+7c2aFpmr9YLIoej4cJgkBu3Ljx0o4dO+4uXMVxAEmSUqIoMkmSLLfbLTPGSE9Pz4DP51NVVfWoquqZmJjYpGlawLIsIZlM0lgsZkmSJKZSqdYvv/zyk5aWlpH79+9vM02zXMO/WCyaqqqSSmFWFKWwY8eO/jfffPPGOhLhql4zG06MCSHdAP4KgEgIEbq7u59XFMUPAN3d3SOxWKwqXUk4HM7qIUkS27Vr18UffvjhTQCkUCiYfr9f0jTNf/HixRf27ds3UOsx1jFMEAQKAD09PaOO6RgAdF0X/v3f//3tqampBABkMhnB5/OZLpdLKhQKoXv37pVdfYZhWIVCodziEABEUSz29vZef+edd/oVRaHV/FBPSc0mbRtKjAkhAQA/ByARQkh3d/dOj8cTBYBQKDS3Z8+ekWc5v2maxPE3L/dzqW1O2sBS+y71mizLVjwer/tJg2MCq+zkxGksBgcH44+JsVj2b7/cCokQMu+mrSiK6VirGGNgjAmUUud3gVIKxpjQ1NSUURQlr6pqUFVVwe12M1EUhdu3b+/euXPnTa/Xy5u+PCGKotC//Mu//Ob3v//9vrt3776AUsUzkVJqejweCQBM06SFQoGaplnWE0EQzEQicevtt9++FAwG+fe+AjaMGBNCBAB/AcAHAF1dXds8Hk8MKPmJ33nnnQFJkp5p5vb3f//3f40qRKh7PJ7M3/7t3/77Wr/P01CZj0i4vb/h+eMf//ieZVl102bUzjcOAMDc3BxtamoSdF0PnD179u3Dhw//sdbjqyb5fF6Zm5sLZDKZQD6fDxQKBZ+qqt5isejRdd2raZpnJecRBAGffPLJhe+++y5z8eLFVxljoqqqkmVZJmMMhmGIsLWEEELb2truHTp0qO9ZFwwb7faxYcQYwJsANgNALBZr9fv9rQAQDAYzb7/9dr+iKKvRkmtjXT2cDU+9deQSRdESRVG3LEtRVZXouk4VRREePHiwbXZ29kxTU1ND1DjWNE1KpVKBTCYTyOVyAVVVfYVCwecIra7rLsuy5NV8z4MHD94KhUK5kydPHrIsy6XreqV+sFgsNvrmm29e6OrqSq/m+24UNoQYE0JEAO8AgMfj8cbj8a0AoCiKfvDgwSsul2tVe2OKomhJklRpnmOwhXols73l9ikWi4RSWtc9WytvzhXBXNxM3bgQABBF0bQLbqw6lUGBK/n/cblcuVwuF2KMkUKhwBRFAaVU/OGHH955//33/3NNBrlGjI2NRYeGhrpVVfVrmubVdd2t67qnMmDqSbAsi1JKmWVZjFIKSiksy1rxhGrXrl0PQqHQ77/88sv3isWiHwBCodDUa6+99sO2bdumn2ZM9UA9TCobWowJIWEAzwM44myLRqPttjjjpZdeuu73+1fdnyFJEvP5fKv+3RqGYTq+Mg6nnhBFEW63u27uJ4wxU9M0F6UUzup4amqqe3x8PNbW1lbXHdkopRgcHEwMDg6+MDc31/wExzFKKXWE1rIsMMZAKSXOw3bXPROJRCL96aef/varr756fdu2bbf37Nkz+qzn5DSgGBNCogB2AtgBYF4FHkVRXB6PJwIAPp8vt2nTplQVxmPZP51NCyvbLFo1VmxjjDFhtc1Na8yiGSYP4GpcllpReDyeHB5e549ccTwuFY4xRiilTgOB8manjGLFdlb5usvlyo2Pj7dQSomqqlRRFIExhosXLx5oa2v7nyv6cFXGMAxhYGBg29DQ0PZCoRCqfG2h0C54CPbfgaDUenBJlrIqEEIsWZaLLpdLdblchXA4nF/JWMPhcPHTTz/99sk+IedRNIwYE0J2AjgEoGXha7Zpusvn87U4M8NQKLQWvqNywXNnw2efffb/Pkte3dDQUMt33333YeU2xhjRNO2JzdWOKK5lYIRpmoJzg7UjX3nu8Qbj2LFjX6xSDMYz8cUXX7xx//795+wgI9Plckmzs7Oh8fHxSFtb25pPxFdKJpNx9/f3vzA2NtZb2VawonoVYYyJeITQLgNVFKWoKIrmcrkKHo+n4PP58oFAIBeJRLKxWCwbjUYL6yjvt6FpGDEGYKFCiL1ery8UCsX8fn9clmV/5Y7hcDi1devWsTUcy5r6HzRNC/zjP/7jX6/lezwtjDGJMeYHgGKxSBljgmMd4DQezsq4coJXL5aQt99++8df//rXmxc2kbh48eL+tra2uoisvnDhwq5bt27tqYwFsSyLappGi8WigOXv0UyW5aKiKJqiKKrH48n7fL5CIBDIhUKhXDwez8RisfyC2BVOHdNIYjwIIAfA7/f7g4lEYu/CHWKx2MyOHTuG29raqhZRyWednAZn0cSzXgr+RyIRrbu7++bdu3dfoJSKmqaZbrdbmp2dbR8aGmrt7u6eqPUYx8fHE44Qm6ZpqarK7LaCldWr1Pb29nvhcDgTCoVysVgsE4/Hc+ukiAZnhTSMGDPGKCHkMoADuVwuY5qmKkmShxDCenp6hjZv3jzV1NSkrtX7VyOwSlEUiKJoPn7PJXnaG+STrvIJpdQCAMMwiGVZT3MOzvqhrmMEDh8+fGlkZKTXNE23qqqCy+VihBDS39//cnd39+9qPb5CoRAESnWcC4WCk6sLAPD5fHPPPffctddff32Qr3Abn4YRY5tLAA4AQCaTmWhqoBEqJQAAIABJREFUatrMGCOdnZ3JtRTialFP0arLwRgTbf8W8vk8BTZe8v5GYbkJaD1Zg7xer9nb23vtxo0be+2eyKbX65UymUz85s2biW3btj1T1b1nYW5uzmsYhgsATPPhHDsSiYzv3r174MUXX9wwDWt4XEmD9TNmjE0DGAWA2dnZCdirwbt377bWclzPgiAIzOmgUqsHgCd5MAf7IzDwPOOGZJkymHVnOn377bevKIpSAIBisSg41+adO3d21HJc4+Pj5bQl24IEt9ud/eu//uuvNpIQc0rU/UrrKbgIoFPX9aKmaXNutzsyOTkZp5TeqYEv65nfL5FITH3++ee/Wo3BVIPr16939/X1vQ0AbrfbopSKfr+/biJXOavHAjFe80j9p0VRFLpjx47+y5cvv8YYE4rFoul2u6W5ubm4rutirSK/U6lU1HnupG/5fD5evaqGLFihV1UvGmplbHMVpchqZLPZKQDQdd01NjYWeuRRz8hSNyYO52nQdV0YHh6OXLhwYdPXX3+9a2xsLFjrMS2F05DeZlFaXz3x+uuv3xIEwQAAXS/V+aGUSnfu3EnUakyZTCYMlKKnGWMCAEQiET5xrQH1YCZvuJUxY0wjhNwGsC2VSs3E4/HnAJCRkZHmrq6uuSoNo/6WB1WiMninYpW0Yb+PJ+Uf/uEffq7rus9u7C4AwMTERMvnn39+vNZjW8hSZup6XBkDpdVxJBKZTCaTnaZpiowxRggho6Ojm3bs2HGvFmPK5/NhoNT1CPbCqKmpqVr3KE6d0YgrYwC4AgCmaRqqqs4CwNTUVPxJarCuErWfblWZSjFm9TDdXGfouu4DHsYKAEAymex0Im3riUoxXq7CXD2RSCScYC2i67oFALOzs621KDFLKUWxWPQAgCAI5S/vzp07m6s+GM5ycDP1KnATgAEAmUxmCgAMw5Dv378fqemoNhhOC8V6KMK+Xqjs5VvZ0vOXv/zl/3rixImd9VSbfJmVcd2K8e7du4ec79cxVRuG4R4ZGal6gKcgCGhtbR0CAFmWRUmSTKA08RoYGGh/5MEbh2peSzV3szSkGDPGdAC3AGBubm6GMUYBYGJiYs3E+DEN1jcM9WqmXC9UBvC43W4iCIKTs+0ZGBh45Z/+6Z9+1tfXVzM/ZyULJll1K8IOwWBQDwQCSWC+v3twcHBbLcbzyiuv/CBJkg4APp+vHOV9/vz5V+pp0lUD6v5aWgsaUoxtxgHAKuUMOJGeG/KPzFlXlK9RWZbFcDgsejwe01nRqaoaOn369OFf/vKXH92+fTu6/GnWFkrpPEFzrCD1/j/W3t4+CgCMMUHXdRMAJicnu+/evdtW7bH4/f5iT0/PFQAQRVFQFIWZpinn8/nwqVOntld7PJzaUnd+qFXE6fdJnJaJoihWdbq5EVeJlWZWrLBzD+fReDweye12s0KhYBSLRQkASafTzb///e+PLfi+y6yGu36p69c+r9MhaMm3fuY3XkP27Nlz++bNmy8yxsR8Pk9kWWaEEHLp0qXXu7q6/kOW5ardI0zTlLZt23bv5s2b+xljLo/HI+fzeR2Ace3atd379++/7fV6n7biHucJWOb/hfuMVwkZKM04nQ2SJK1ZPiFPbeKsJYQQ4vP55FAoxGRZNh2TJmNMWOqB0v/2Mz0ecd5lJ1f1PgFtbm7Ob9my5RpQqhZXKBQsoFSW8vz58y9VaxyUUly+fPnFP/7xj79gjAUAKIIgEL/fz4CSW+Lrr79eVF+f07g0/MpYFMVyN5S1FOMF1PcdibOuSCQSN2ZmZtoKhUJIFEUhEAgIpmlamqYtN+lz3DLPdB0uEQ1fjslD6Rov/5Rl2Zn01v1E9OjRoz+OjY0lVFUNaZomulwuS5IkcXh4eGdvb+/tlpaWNSu8oeu62N/fv3NoaGi7qqphxpin8nWv1yuYpmlRSsWhoaFtExMT11pbW3NrNR5O/dDIYlzqlyYIZTGWZbnalXbq/sbEqX9aW1sfHDx48Ozly5e3Dw4O7tZ13SNJkuj3+x9/cPWp+2tekiR24MCBM8ePH3+fEELy+TxCoRAopeL58+cPfvzxx79bzfralFIMDQ21Dw8Pb56amko49ajt15iqqrRQKMBOfS5PbBhj4okTJ1797LPPvl61wXDqlkYW4wgAKIpSvvDdbrdeu+FwOE+PIAh46aWXbjz//PODP/zww56RkZHtlmXJNR4WA8Cc1TIhBKIorove1Tt37py4evXqvfHx8R7LskRVVU2PxyOl0+l4f3//9j179tx4lvMbhiHcvn170+jo6KbZ2dm2SgEGSlW3CoWCWSwWAUA0DIMCEERRnOePn56e7rp27Vrrzp07a97ucS1ZEJm/IS2LDSnGhJA2AO0A4Ha7fc72cDhcWKv35KlNy8OLf6weiqJYBw4c6HvllVcuLpe/vVRE86Pqsq/02mWMEVEUqXP+eurO9DS8//77Z3/961+3G4bhVlVVVBSFiqIo3Lhx46Wenp6hYDCoPcn58vm8Mjg42DM+Pp5IpVLNlNJF91dd161iscgMwxAZYxJs4REEwSKEmLIsay0tLUOSJJn2w1BVVVn0ZpxVpR5iHRpOjAkhAoBPYV/kwWCwDQAURdGDwWCxlmPbaDgaXA8XeqOxmlG/oihuyMlSMBjUd+/efeHChQsHAZBCoWDZ/njX2bNnXz969OiJx50jk8l4bty4sXVycrIrk8lEnRKmDowxpuu6pes6TNMUnPaiDrIsGx6Pp5jL5YoAxEgkMv7pp59+u6oflLMuaDgxBtADIAwAbW1t3Yqi+AEgkUiMVVsUuAhxOPXNG2+8cfvOnTtbUqlUm2EYUrFYNF0ulzQ1NbVpcHCwc+vWraPLHZvL5VxfffXVJ8Vi0Ve5nVJaKcAiFt9naTQaHY/H49mpqantQOlewQ1IdUdVb+Dr2860NC8CgCAIQjgc7gQAl8ul7dixY2wt35SnNnE465MjR458LwiCCQCFQqFcCevy5cuv6bouLnWMZVnkxIkTRxwhtiyLqqpqptNpM5VKoVAoSKZpls3QhBAaCoWmdu7c2fdXf/VX//b555//qbm5ebZKH5GzDmjElXEHAIRCoSZCiAQAW7ZsGfF4PNVMnt+wS+JKM92zptZwONWgvb09u3Xr1is3b97cwxgT8vm86ff7JU3T/GfPnn35rbfeOr/wmJMnT76RTqebAUDTNDOfz4vO/ca57AVBMCKRyFQikRjevXv3UDAY5AGk9UvNF1ANJcb2zX9R3+L79++37ty5c/xRQSwcDmfjcuTIkcujo6Pd+Xw+rOu6aJqmJUmSeP/+/W3j4+ODbW1t5T7DFy9e3D42NrYVAEzTtAqFguhMPCVJ0qLR6HhPT8/w7t27RxRF2dBFpp8F0zQVSmm1AwVrFtXdiGbqBwCQSqVm8vn8JABks9ngyZMnd4yNjQUdv4xlWWRqaso/NjYWSqfTrjWKhubiz+GsAyRJYgcPHjwNgAIguVypzgZjTDx//vxBp3HD0NBQ67Vr1/YDJd9wNpt1UpHYnj17zv7d3/3dbz799NM/79+/f4gL8dNhWRYDAFVVA+fOnatKVbQKi17l36yqaXoNtTK2G4b/DwB/B8B7//79W1u2bAnIsuydmppqHh0d7aSUim63u5DNZsN2iT8AJdOSKIqmIAhUlmXNTt8gtkgTxlj5sfB3+w+5VG9XDoezTti2bdv01atX74yOjm6llJZzj7PZbPTixYvP9/T0DJ07d+5txpjIGGPZbNay05OwefPma2+99dYz5SZvZDZt2jR97ty5omVZrso0s7t37+7q7Owc7erqml7L93d0YEEaZlUXUw0lxgDAGMsQQv4NwP9GKbVGR0evtLa29no8noiiKLqmaZ6pqamupXIAORzOxuaDDz4496tf/apT13VPpSjcunVrz8jIyFbDMNwAkM/nLcuyJABoamp68PHHH/9Q25Gvb+LxeGHfvn1nz507dwgAyWazNBQKMQDCuXPnDsXj8f9wu93VbprBG0U8K4yxOwBOAoCqqoV79+71Dw4Onkkmk7cJIZPRaHTE6/XOapo2l81mJ/P5/IymaXOGYRQIIfQRD0sQhEUPURSdh2mvrmv8DXA4nKfB6/Wae/fudQK2SD6fpwBgWZacz+fDAKCqqqnrugQAHo8n/Rd/8Rff8P/5Z+fVV1+919bWdhcAKKXlJh6apvm/++67A1UaRs18xo28OvwzAD9KqU6yYRj65OTk6OTkZGXeoAfAVgBNzoZgMOhrbm6OV3eoHA6nXnjllVfu3bp1a+vs7Gy7aZrl3GMAMAzDCdiCKIrFjz766Gve5nD1OHbs2Olf/epXzZqm+TVNE2VZthRFEScmJjZfuXJl9IUXXrhT6zGuFQ07nWOMUcbYbwH8PwD+A8A9LDY7qAD6AVwBoANAJpPJp1KpuWqOlcPh1BdHjx49LQiCATzMPbYsi+ZyOWJHTtMDBw6c6ujoyNR4qA2F2+223nnnnT8TQiy7iQehlDIAuHLlyqvJZLIuu6OsBo28MgYAMMaKAC4BuEQICQLoAhBFSZizAK4zxoqEkGYA/yeAUDKZhNfr3ez1eiOEECZJktnb2zsMgAqCwAghzE6Tmve7Y84WBAGCIFBBEDZcNCWvIrQ68HretaW5uTm/ffv2/mvXrr3MGBNyuZxpWRZxyllu37790p49e5atzsV5erZu3Tp99+7dASfvO5fLmcFgUDJNUzl9+vShTz75ZFW7atULDS/GlTDGMgCuLvPaFCHk/wbwvwNwj42NTWzZsmWvLMt+RVG0Z+3iwuE8A1yYa8Dhw4cHRkZGenK5XMQwjPK9sqWlZejo0aP9tRxbo/Pee+9dmpiYaE+n082maUpOZHsmk4mfPXt27xtvvPHjar5fPWTANN704hlgjM0A+B8AQCmlhUIhBQC6rte6VR1nA7NUFybO2iMIAt56663vCCFlC5ff75/92c9+drKW49oICIKAjz766FtJkooAoKqqaFkWBYB79+69MDIy0lzbEa4+XIwXcwd2srdlWQZQiuxbrkYth8NpXHp7e5OJROIWAMiyrB47duw4L+ZRHZx0J/tXks1mmY1w/vz5tzRNW3XL7oIVMq/AVUtsX10eAEzTLNeSLRQKfHX89PCVHWfd8v777//g8XjShw8fPhGPx9esJzpnMa+88sq99vb2O8DidKdTp05VK92pKnAxXpocMF+M8/k8b/D9hDhBSPXgj+Fwnha32219/vnnv922bdtUrceyEfnkk0++d7vdWQDQNE3Udd0CgMnJyc1XrlzZUtvRrR5cjJfGAADLssq1Se2+pBxOVeATmPqC5xLXDrfbbR0+fPjbRk934mK8AEKICKATAGRZLq+GPR4Pb3/GWXN4RhOHs5je3t7ktm3b+oFSU4dcLmcBpc5Op0+ffttp5PEM1Pwfj4vxYvYCEAHA6/WGnY1er9eo2YjWEXYjDc5TwntAczhL8+67714Oh8OTAOCkOwFAJpOJnT179uXaju7Z4WJcASFEAXAYAFwulzsQCLQBQCQSSfl8Pr4yfkK4sHA4nNVCEAR8+OGHf14m3en5oaGhllV4G97PuNYQQgQAn6FUrxqtra099jbs2rXrLtcVDofDqS3xeLywf//+M/av89KdLly4sCbpTtWCizEAQogXwOcANgOAz+cL+Hy+ZgBobm6eam1tzdZyfBwOh8MpsX///qH29vbbwKJ0J9+pU6cO1nZ0T8+GF2NCSAeA/wPAFgDweDzejo6OHQAgCALds2fP3VqOj8PhcDjz+eSTT854PJ4MsCjdqXtgYKC3tqN7OjasGJMS+wH8dwAhAGhqamru7u5+WZIkLwB0dHQ8CIfDWi3HyeFwOJz5rKC7U+BJzlcPbsgNKcZ2oNbPAHwMQCSEkM7Ozt7W1tadhBCREMISicT9vXv33qvxUNc1FWk6NU8b4HA4jYWd7nQZmJ/uZFmWfPr06UOrkO5UVRpajAkhIULIPkLIJvu5QAiJodSZ6UUAUBTF1dPT81IwGOwEAEmSjH379g289tprd1wul/Wo83M4HA6ndrz77rv94XB4Alic7nTmzJlnTXeq6nJ53UaeLYedTtMF4FUAO/CICUcoFIq0tbXtFARBBoBAIJB9/fXXr3LTNIfD4dQ/giDg448//vO//uu//sQ0TbeqqqKiKFQURWFoaOj5jo6O0e7u7snHnWeZYjtVteg11MqYEBIG8Lco+YGfxyM+X2tra6Kjo+NFR4g7OjoevPfeexe5ED8bvOjH6lMP/iwOp16JRqPq/v37l+zu9MMPP7ylqupKmvw4/2SVAlxVMW60lfHbANqBUt5wNBptDoVCrYwxahiG5jyCwWCzx+OJAYAgCNYLL7xwa/v27Y+dPXE4HA6n/ti/f//QyMjI7bGxsV5KqZjP502/3y8Vi0XfqVOnDh49evTEo453VsYLVshcjJ8GQkgcwG4ACIVCTW1tbdsFQSjXlna73Use99Zbb/3Y3Nycr84oORwOZ3m4FeTpOXbs2Pe//OUv46qqhorFoqgoiqUoijg1NbWpv79/64svvji4gtPUbGXcSGbqwyiZGkhzc3PvAiFWZVleVFtaURSdCzGnTuF35Y0Jzzx4ShRFoUeOHDm5VLrT1atXX3lMulPN/98aYmVMCOlEKVgLsVisRZZlLwB0d3ePvPzyy/dEUWQAUCwWxUwm485ms+58Pu9WVVVhjPHZKIfD4TQAPT09yR07dly6du3ay3a6kxkMBiXLsuSLFy/ufffdd/+81HH1EMC17sWYEBIA8HP7uRCNRrsBwOVyFV966aUhR4jtbVY8Hs/H43G+Gq4ODAAIIXy2v0J4C0UO59k4fPjwwNjYWFc6nW42TVNijDFCCBEEoa5TVdetGBNCggBeA/CGs629vb1bFEU3APT29g7Jsry+sr45HA6H80wIggCfz5dJp9PNAJjTPc7lcqkrOJxHUz8JhJAXAfwEdt9hAIjH4+2hUCgBAF6vN799+/aJWo1vg8Nt/hwOp6YUi0U3ULbKOWJc12mr606M7baGh2ELsSRJciAQCMXj8a0AIMuyfvDgwYFK8zSnZnBh5nA4VccwDBcw30Xm8XgeJcY1v1etOzEG4AUQBoC2trbuSCTS7bwgCIL12muvDfDCHRwOh7NxMQxDARaJ8UrM1DVjPaY2lScQsiyXk4cJIWzv3r3X2traeO9hDofD2cCYpqkAJf+xg8/nq+vA3fW4Mi6XNrNN1gCAffv2DWzevHm2NkPicFYd7mbhcJ4CSmlZjCvTVv1+P18ZrzLlCYRgT3v8fn+OCzGHw+FwCoWCzBgTgYdiTAihHo9Hr+nAHsN6FOPKlbEIlHzFtRsOh7O2MJ58zOGsmFQq5XWeO2ZqSZL0SpP1ctTyX209mqnLY3bM1IIg8HziOsEwDME0TREALMsCpVTUdd197dq1VsYYWXixL9Xlaal/CMbYov+kpfajlAqP22eZ91zptseO7VneU9M0r2maMmOMFItFCQBu377dOTk56Vt00jWAEMIIIUwQBEYIoYQQ2L9TQggEQaDOc0IIE0WRCoLAADjPQQihgiA4+zJCCJMkiTrndY4RBIFJklR+bj+WHJdpmkTTNMkwDLFYLEq6roumaUqGYYi6rkuWZQmGYUimaYqWZYn2T8myLMH5nVIqUkoFy7JEy7IE53fYkbSapvny+XwYABRFKYiiaNpvv9I79Ioicp3rQ9f1OAAFAFRVpQCEQqHgX+F7cZYhnU4vEmMATNd1UVGUJ1m48Tzjx7DIZyyKIhfjOiGdTvvm5uYCAFAsFiljTDAMw338+PEPaj229YCmaX5KqUQIoY7I37p16wVCyEax/jCUCjU4z51JS1WteLquex+/17PBGFMccyqllAAQKKXiYw7jPIZ8Pr+oK5BhGJ4vv/zyo3ffffcrn89Xl+bq9SjGi1bGmUwmePbs2S0dHR3J9vb2NM8x5nDWLQTAIgvKamGXRnxsiVZnRW8fs+x+K6lrv/B45xhKqYGHq2li77seXYd1ReV3mM/nRUKIpSiKmM1mo1999dXH77zzzh8jkUh+wTHVH+gC1qMYL1oZG4Yhj4yMdI2MjHRJkmRGo9Fka2trMpFIzHo8HnP5U3HWkkAgwERRpIQQWmHyeyqWuelVbmRLbFsK9rh91qJxyMJzLmxQ4twMfD4fZYxR+zUKlNww1V4ZV96clnAtsOVeW+4cKznvcvtVfk+2kC61jSx4nVS8Tiq2zRO/WmJ3FBIAIJfLMQDQdd1T00E1AK+99tqdVCoVGhwcfBEAyeVygs/nM10ul1QoFELHjx//+K233vqqpaUlXeuxVrIexbg85vv37w8Eg8Go3++PuVyuIABimqY0OTnZMjk52dLf389CoVC6ubk5mUgkZpqamuo6tL3RUBSFKIoioBT4vh6vtapj+zDnrY4IIYITrMhpTHj3uNXlww8//NHj8aj9/f37AQi5XE6klJoej0cqFoveb7/99qPXX3/960QiMVXrsTqsxxtk+UalqmpBVdXC5OTkfUmS5FAo1OT3+6Ner7eJECIxxsjc3Fx4bm4ufOvWrS0ej6cQj8eT3Jy9dtjBdCZQSicAIIiiqHs8nqVmoYu+/6VuSCvs+rSicy2z31LnZwv2Wev3ZABgmmaIMSZX7iOKYoYQsqgf9xpBbB8tqQi4I4wxoeJ5efsj9l+4T+V2Uvlelfs9YlzMDgyj9jVGK4LJnOeW/dxyfnd+iqJYuc0SBIFKkmTZmRiVfwsCAIVCwVcsFt2yLBcTicTIo8b1uC/UDnBbxJUrV3Ynk8kEALjdbgaAxOPx+487H2dlvP3229c9Ho92/vz5gwBEVVUlSqnp8/kkwzBc33333dF9+/adfO655x71960aa+abWStsU1McwDYAzwHoxIJ/YkIICQaD4UAgEPV6vVFJkhaZfiRJMpuammbb2tpmuDl79Th//vzms2fPHgKAQCBgybIshkKh6WPHjv2u1mPj1DeUUjDGCKWUWJYlOM8VRTGdSO1G4uuvvz46Njb2HADMzpbKJAQCgWxTU1N54vqYiSir2O9Rry3biWjBcfVwvkcdt9L3mrff7OxsaHJyss3xJcuyTP1+v5OHTIPB4JSmacSyLFFV1fz9+/cdcf6/GGMXFg58rVh3K2PbXzVlP04RQnwAtqIkzL0AFMYYS6fTqXQ6nQJw2+PxeJcyZ09NTTVPTU01V5qzu7q6ktFotFCzD8jhbFBssWWiKLKN0P6UMSZhwT3YNE1PPp/n9upVJhgM6plMxk8pFXRdRzabpX6/nwAgc3NznYIgqIQQ3V6cNtmHuao5xnUnxgthjOUBXAJwiRAiAdiEkjBvg91QgpuzORxOvVFplbQsiwKAYRhWsVhcZKVbsApciVgvG6j4tL7p5Y57An/3vIBL8rQDeQoIIdTv96ez2azfsiyxWCzCNE3q9XqdMbgFQWCmaVYuxHie8dPCGDMB3AFwhxDyByxhzjZN00gmk5PJZHJyOXO2qqrekZERrxOdzc3ZHA5nLTEMw7HBi5TShrov1xkF0zR9znesqvNien12nEtNgroa9o/OzdkcDofDqYQQwlwuV07XdZ9lWfLC103TdKO0iJup9tgaVowXspbm7Pb29mRHRwc3Z3M4nBUjy3KGEJIFAJer5J5saWkZ3rVr17UF+dhCxfN556gs/7rgmPnRTRW/L3iOBftV5XyPOcfC96r89VHfReVx5edOrQOnxKtTPjmfz3sBMEEQ2OTkZFuxWHTrup6dmpoaBKCiyoK8YcS4kqcxZwcCgVAwGIxxczaHw1kNBEEwnWIuolhKI/f5fLldu3Y9qOnANiBfffWVmE6nQ5qmpaamppz0smI1x7AhxbiSlZqzM5nMXCaTmcN8c3bU5XKFsIQ5OxgMpltaWnixEQ6Hw+E8lg0vxgtZLXN2Op0Op9Pp8K1bt7Z4vd58c3NzsqOjY6a9vT3DK+1wOBxO3cOjqeuFZczZjjCv2JxdKBR8Q0NDvqGhoYQsy7rtZ57p6upKbYR8Sg6Hw+E8Gi7GK2SBOfu7lZqzQ6FQzOfzOdHZMAxDefDgQduDBw/afvzxR6upqSnV2to6s2nTpqTP56tWyUMOh8Ph1BFcjJ+SJzBnjwAYkWVZCYfDUb/fH3O73RFCiEApFWdmZmIzMzOxq1evsmAwmGlpaZnhfmYOh8PZWHAxXgUeEZ3tmLNhGIY+PT09Pj09PS4IghgKhSKBQCDm9XqjgiDItp85lE6nQ7afuRCPx2c6Oztn2trasssVm+dwOBzOs1EPPRq4GK8yS0RnB/BwxdwDQKKUWqlUaiaVSs0AIIFAIBgMBmM+ny8qSZIXAAqFgnd4eDgxPDyckGVZj8ViyY6ODu5n5nAam9qrAqcmcDFeYxhjWQB9APoIIQqALXiY0+wFwLLZbDqbzaYB3KnwM0edKmCGYSjj4+Nt4+PjbT/++KMViURSbW1t3M/M4XA4DQIX4yrCGNMBXAdwnRAiAOhCSZi3w+4UstDPHAqFooFAIOp2u5scP3MymYwlk8nY1atXWSAQyLS2ts7Uc3nOejABcTj1im1N4/mO9UHNblZcjGsEY4wCGAYwTAj5E4AYHgpzB0orYn1mZmZ8Zmam0s8c9Xq9McfPnMlkQplMJuSU52xubk7afuYM9zNzOBzOU8PzjDca9sx42n58Rwjxo2TG3o6l/cy3bD9z1OfzxRw/s6qq3uHhYe/w8HCX42dub29PdnV1pRRFsWr1+TgczsoghPAJ9AaFi3EdwhjLAfgRwI+2n7kHJWFeys98d6luU5V+5osXL9JIJDLb1taWTCQSSb/fr9fsw3E4HA5nEVyM6xzbz3wDwA3bz9yJkjBvAxAF5pfntP3MTYFAwMlnFimlwkI/c0tLS7Krq2smGo0WeHlODoezwan5TZCL8TrC9jOP2I8/EkJieCjMnXjoZ56YmZmZEARBCAaDEac8pyAISqWerZD6AAATkklEQVSfeXBwsMfxMzt1s7mfmcPhcKoPF+N1DGNsBsB3mO9n3oZS+pREKaVzc3PJubm5JEr5zAFbmGOyLC/lZzZisVjSbgPJ/cwcDodTJbgYNwgL/Mwy5ucz+1DyM2ey2WwGwF232+0JhUKxBX5meXx8vHV8fLz10qVLNBKJlOtmcz8zh8PhrB1cjBsQxpiBxX5mpzxnDAA0TVM1Tbtv+5nlUCgU9fv9MY/HU+lnjiaTyejVq1cRDAYzzc3NM4lEgvuZORxOQ7KgJgJPbeKsHgv8zH+y/cyOMHehtCI2FvqZnbrZoigqAJDJZIKZTCZ4+/Ztx88809nZyfszczgczirAxXiDYfuZZwCctttAVvqZ5QV+ZgQCgWAgEIj5fL6oLMs+oOxnTgwPDycURdFjsdiMXTd7rlafi8NZbzDG+CyWU4aL8QbGbgN5EcBF28/cg4erZh8APM7PrOu68uDBg/YHDx60//jjjyYvfcnhPBmEm5ZqTj3ct7gYcwCU/cw3Ady0/cwdeFiecyk/86L+zJZlSZqmeWr3KTgcDueZYMs8X3O4GHMWYfuZ79uP44SQKB4Ks+NnLvdnFkVRdAqNCILQufB82WzW/4c//GFvS0tLOQCsqh+Iw+FwHs1S1gkuxpz6gjGWBPA9gO+XqpttWZY1Ozs7PTs7Ow1gUpZlUVEUn9frdcmyLAIPA8AGBwd7vF5vvrm5eaarq2umtbU1y610HA6nllSYqfnKmLM+WJDP7EIp8Mupm+0GAMMwNMMwtHw+D7fb7QoEAlY4HC44hUYKhYJvaGjINzQ0tMnlchVjsdhMZ2fnTGdn55woirV33nA4nI1GzVcEXIw5Tw1jrAjgGoBrhBARQDeA1+2fQQDQNK2oadrs9PR0v8fj8YZCoZjP53MCwFAsFl1jY2MdY2NjHX19fWY0Gk22t7fPJBKJWZfLxSuAcTicDQEXY86qwBizANwBcIcQ8msAewG8A2A/ABkoN7QYATCiKIoSCoViTkMLAMQ0TWlycrJlcnKy5fLlyzQcDs81NzcnE4lEMhwOa7X6bBwOp+GpuUWOizFn1bH7M/fZDxBCugAkAOxAqRoYdF3Xp6enH0xPTz8QRVEKh8NNfr8/5vV6o04FsNnZ2abZ2dmmGzdubPV6vfl4PJ7s6OhI8oYWHA6n0eBizFlzGGNOZPZpQkgADyOzNwMQLcsyk8nkVDKZnCKECKFQKBIIBKJ2BTAXUPIzDw8P+4aHhxOSJBnRaHS2tbU1mUgkZj0ej1m7T8fhcDjPDhdjTlVhjGUBXABwgRDiBtCLkjBvBeBijM2rAOb1ev3BYLDJ5/NFnUIjpmnKjjm7v7+f2XWzk52dnclYLJbn0dkcDme9wcWYUzMYYxqAKwCuEEIklFbKTn9mPwAUCoVcoVDIARiRZVkOBoNNfr8/6vV6mwghEmOMpNPpUDqdDg0ODva43W4tFosl29vbk52dnXOSJNGafUAOh8NZIVyMOXUBY8wEMAhgkBDyXwDaUEqXeg5AOwAYhmEkk8nJZDI5SQghgUAgFAgEoj6fLypJkhcANE1zj46OdoyOjnZcuHDBikQiqba2tmQikeBtIDkcTt3CxZhTd9gBYA/sx7e2n7kXJWHeAkBhjLFMJjOXyWTmANxxu92eYDAY9fv9UbfbHQZAKKViMpmMJZPJ2NWrV1kgEMi2tLTMdHV18TaQHA6nruBizKl7bD+z09BCArAJD1fNEaBcN3t0ampqVBRFKRQKRWxzdlQQBJkxRiqrgHk8HjUej890dHQkOzo60jw6m8Ph1BIuxpx1hW3OdvKZ/4BSE4vnUAoASwAQLMsyK8pzkkAgEAgGgzGv1xtzqoCpquoZGRnpGhkZ6XKis3mxEU4tsC1BBAC4tWbjwsWYs26xb2LT9uM0IcSDkhnbEWcPALZMG8ioy+UKYUF09uXLl2koFJqz06ZmQqFQsVafj8PhVI2az4K4GHMaBsaYiofR2QJKBUac/syL2kBKkiQ73aY8Hk+TU2wklUo1pVKppuvXr2/1+/255ubmmc7OzmRLSwtvasHhNCBOo4gFfY15owgO51mx20CO2I8/EUIcc/Y2lMzZxDTNyuhsIRgMhoPBYNTr9cacYiO5XM6fy+X8d+/e7XaaWnR0dPC0KQ6Hs6pwMeZsCBhjMwBmUGoD6UXJjL0NpShthTFG0+n0bDqdngUw6PP5/MFgMObz+aKKogSARU0trKamptm2traZRCIx6/V6jZp9OA6Hs+7hYszZcDDGCgAuA7hsR2d342GxkQAA5PP5XD6fzwEYcrlcLjttKuZ2u8OEEMGyLHF6ejo+PT0dHxgYYMFgMN3S0pJMJBIzTU1Naq0+G4fDWZ9wMeZsaOzo7NsAbhNCfodSsRHHz9wKAMVisVjR1EKs9DM7aVPpdDqcTqfDt27d2uL1egvxeHyms7Mz2dbWxptacDh1DmNMsH9Wup6qmlXBxZjDsVlQbOQEISSMh37mbpSaWliVaVPBYNCpAhaTJMkDAIVCwTs8PJwYHh5OyLJs2OU5Z7q6ulKKovC0KQ6nzlgQuFXeXM0xcDHmcJaBMTYH4DyA83ZTiy0oCfNzANwA5lUB83g83lAoFKtsamEYhjw+Pt46Pj7eevHiRRqJRFKtra0ziUQiGQgEeHnOGsAYcx6EUkqW+mm/LgBA5WsoVXabtw9jDJRSZ19nhVXef8G5AEBgjKFQKAQYYxJjjJmmSQBA13W5Ft8Jp/ZwMeZwVoDd1OIqgKuEEBFAFx62gowAgKqqBVVVR1BqaqGEQqEmv98f83g8ESdtKplMRpPJZPTq1asIBAKZlpaWZGdn50w8HufdplbI8ePHDyWTyTb7V2KvaghjrPwFVjyvfB0o5ZPWxRdNKXUDcDPGmK7rBAByuVywxsPa6LBlnq85XIw5nCeEMWYBGAIwRAj5I4A4HvqZO1BaEeszMzMTMzMzE4IgCMFgMBIIBGJ2j2YFALLZbDCbzQZv37692e12a/F4fMbpNiWKIvczL4NhGIphGO5aj2MtIITwv3ttqPkEjYsxh/MM2H7mKftxihDix0M/cw8AmVI6r0ez3+8PBoPBqM/ni8my7ANK3abu37/fef/+/c6+vj4zGo0m29vbZzZt2jTL/cxLQyllxWKx/N0sLNhgr46dUpMLf2KZ4/7/9u5tqY3kDgP413PQCAlpJCQwGGPhbNiNq1K+dCWVXOQmb5cX2Jt9ilyk4t29SLZqU+X12mWviQ3OgjFgrDODjBGaUedCM9IAAxYntYS+X5UKMZJGByh909P/7j6yg889to99nLXdk1K2Qy12hvEYYxgTXSEpZQPAzwB+FkKY6ARy0GpOAkCj0XAajYYDYM2yrHgwPWew2pTrukZ4ek5/Gcgyl4HsCAJLSik/ffo0st9hUkrd70vuBrAQghPJjKmR/UcmGnZSyhaA1wBei06H8Dx6wTwDAM1m86BYLG4Wi8VNwzAM27Zzx6fnDPUzy3Q67dy6datcKBTK2WyW45kvRwKQfl99p3naa5mGt3evh/r1jzwu4j7S39eJ7cH9W63WlOd5hpRSapoGAIjFYpwLXQFWUxONCf+U56Z/+U4IMYVeMN8FoLmu64an57RtO5tKpfLJZDKnaVrMH89s7+7u2isrK18kk8mPMzMz5YWFhfK4z5u9tLT0/OHDh//VNE0KIaSmaScuQgiEblf9kvHo0aO/fPjwYdHzvHZQhZ3JZHZVvy5Sg2FMpICUsgrgRwA/+qtNLaFTmd2dnjPUzyw6q0Cm8+HxzB8/fkyura0l19bWCpZlNf31mcvjWAAWj8cPcrncSJ0pCIY7hWmaxtPUY4phTKSYv9rUcwDP/ek576ETzL9Dp59Z7u3t7e7t7e0C+F8ikUim0+n85ORkPjxv9ubm5vzm5uZ8uADshq7PfCMONPxxyEcwjNWSp1XcDQDDmGiI+NNzrgJY9afnnEcnlO8DmAKA/f39j/v7+x8BvLUsy/ILwPLjXAAWHmM8KqSUuv+zu03X9Zt24DQqov5/2GdMRN15ct8BeCeE+BadNZmDFvM80Jk3u1gsbhWLxS1d141MJjM1OTmZTyQSubMKwLighXqhlnH3S1/XdbaMxxTDmGgE+KfPSv7l30KINHozgN0DoHme51YqlWKlUin6BWAZvwAsH1UAlkgkugVgs7OzY10ApgL7jCmMYUw0gqSUDoDHAB7782YHBWBL6BWAVev1ehXAaqpTAZZPJpPToQUtkuvr68n19fWCZVnNfD5fvnPnztAXgEUdNCjs6ruw0EpB3W08Ta0GhzYR0aX582a/APDiWAHYVwAm0SkAc/b29hwAvwYLWvgFYGmgUwC2tbU1v7W1NQ4FYEMhtKhEdxtPU48vhjHRDXKsAOzvAO6g18+cA44uaBGLxaxgopF4PJ5FRAFYJpOpzc3NlQuFwrAUgI1eMzhC6DR19/0YhsEDnzHFMCa6ofx+5jMLwA4PD5ulUmm7VCptn1YAVq1Wc9VqNbe8vCxTqZTjLwF56QKw77///s+Hh4dWaFPUqkvd7UELstFoZCN2p34Wj3MK3mO4Zcw+Y2VOFNMNGsOYaAxEFIClcLQATO+nAMxxHNtxnCspACuVSvOtVmviqt/rqIgajmUYBsN4eLDPmIiul5RyD8BPAH7yC8B+i14BmHXeArBYLNacnp6+UAGYlFK22+3oCpreykndTcGVdnu0c4vjjIdHs9m0Pn+v68UwJhpzfgHYLwB+8QvAFtE7nd1XAdjh4WG4AKyVz+e7S0Capnlmah4cHHiXXX1pFKupo2bg+txnRddL5f8Rw5iIuvwCsDcA3kTMANZvAZi5s7Mzu7OzM/vs2TMvl8tVgwKwiYkJV9V7GzZRp6lZTa2Gruuu53nH83CgrWWGMRFFOrbS1LdCiHAB2B3gaAHYKUtA6qVSabpUKk2/ePFChiqzy1HPubS09Dwejx+EljLEsesIXW8H2+7evfvhGj6CaxU1zpjV1Grouu5FhHFskK+BYUxEfZFSlgH8AOCHqAKw8BKQmqZptm1PpVKpfCKRyGuaZkgpRa1Wm6rValPLy8tfuq574vvnwYMHb+bn553BvjM1olrGpmkyjIfH3iCfjGFMROd2SgHYffgzgLXb7XatVivXarWyEEKk0+lMOp3OJxKJvK7rlr+PE2HkOM7E7du3nXGYmjPUMg6PM+Zp6uHBamoiGh0RBWC/QSeYvwKQkFLK3d3d2u7ubg3A6uTkZNq27bxpmjOGYRz5Dnr69OnvV1dXF4MhU3Nzc46maaNXndWH0MFI98iDp6mVk6dcv3YMYyK6Mn4B2AqAFSGEBuAuOsF8H0AaABqNhtNoNBwAM5ZlpSzLmgCQNAzDAoCDg4OJjY2NhY2NjQXTNA+DIVMLCwu1YZ4z+7yi+oxjsRjDWA3lp2IYxkR0LfwlINcBrAsh/gFgDr1gzgNAs9lsNZvNFgBH0zRDCPFrJpOxLcuyAYhWqxXb3t6+vb29ffvJkydueMjUKAdXu92OXLWJQ5vGF8OYiK6d3y+67V++8yuz3wP4EzqtZ7TbbbdSqWxXKpU10zRN27bzwZApIYTmed6RObOz2Wx1bm6uvLi4WEkkEi117+78gkUijm++SS1/Oh+GMRENnF+Z/TWAr4UQCwD+CuCP8PvpWq1Wq1wuvy+Xy+91XdeDIVPhObMrlUq+UqnkX758KW3brs/OzpYLhULZtu2mwrfWF9d1u2EcnKYOD+Gi8cMwJiKlpJTvAHwD4BshRAK9IVNfADA8z/Oq1WqxWq0Gc2Zng8psTdNMKaWo1+vZer2effXq1ZJhGC3DMDzDMFzDMFxd113TNF3TNF3DMLxTppzsq8/wrBmaoqrDTxM1rAsAHj9+fO+iz+878zVc9vH97OM8n8N5Hx81/jxUeX/m78cPdsKP9zxPv8xrvgoMYyIaGlLKfQBPATwVQljozZn9JXpzZlfq9XoFwEo6nbb9ObPzuq7HAcB1XdN1XVPZm+hDVH8xAKytrRUG/VpoODCMiWgoSSmbAF4CeOkPmbqH3gxgSQDScZy64zh1AG+SyWQqlUpNGYYR03Xd0DRN1zTN8AvDDP+6jiGonMXR5SIhpZT+EK4LnaqWfTR5P7eL63x8ny+vnzsJoNvaPf53PPK7ODlYfRj+7qcSozjBOhGNL3/I1AJ6c2ZnLvD4/tLh6kLkuDiAPxzbdgDgPxfYF11MONiD32XowOZvUsrGoF4MW8ZENFL8IVNvAbwVQvwTwCx6wTzT5+NVi2qlsWU0WBI4csCl9PNny5iIbgz/dLaFTsvz+M/g+nmKdfr5gvzcfaJuj6NTqBa+7QDA6yvY93luH5XnCAj0DmSu++e//K6SgWAYExERKRZZ0UdERESDwzAmIiJSjGFMRESkGMOYiIhIMYYxERGRYgxjIiIixRjGREREijGMiYiIFGMYExERKcYwJiIiUoxhTEREpBjDmIiISDGGMRERkWIMYyIiIsUYxkRERIoxjImIiBRjGBMRESnGMCYiIlKMYUxERKQYw5iIiEgxhjEREZFiDGMiIiLFGMZERESKMYyJiIgUYxgTEREpxjAmIiJSjGFMRESkGMOYiIhIMYYxERGRYgxjIiIixRjGREREijGMiYiIFGMYExERKcYwJiIiUoxhTEREpBjDmIiISDGGMRERkWIMYyIiIsUYxkRERIoxjImIiBT7P6/MiWZKb25TAAAAAElFTkSuQmCC\n",
"text/plain": [
"<Figure size 576x576 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"map_name = 'Arizona'\n",
"state = load_map_data(map_name)\n",
"figure = plot_map(state, map_name)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Nice! We generated the map, but there are no colors yet. Now we need to model this map as an unidrected graph. "
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Model as an undirected graph"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"An undirected graph is one where the edges do not have a direction. Two vertices are either connected or not. Here is an example of an undirected graph "
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<IPython.core.display.Image object>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"display(Image(filename='udag.png'))"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"This graph can be represented by the following adjacency matrix\n",
"\\begin{bmatrix}\n",
" 1& 1& 0& 0& 0 \\\\\n",
" 1& 1& 1& 0& 0 \\\\\n",
" 0& 1& 1& 1& 1 \\\\ \n",
" 0& 0& 1& 1& 0 \\\\ \n",
" 0& 0& 1& 0& 1 \\\\\n",
" \\end{bmatrix}\n",
"where the elements of the matrix represent whether two vertices are connected or not. For example, vertex 1 is connected to vertex 2 and thus the element in the first row and second column is 1. Note that vertices are\"connected to themselves\" in this representation. "
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Solving a vertex coloring problem on this graph will give us the following graph"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<IPython.core.display.Image object>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"display(Image(filename='udag_colored.png'))"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"As you can see, this is a feasible solution for the vertex coloring problem. No two adjacent vertices have the same color. It is also an optimal solution because the total number of colors used is minimized. You can easily prove that you need at least 2 colors to color this graph because at least two vertices are adjacent."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Now, let's apply this to our real problem. Don't worry, the `map_grapher` package will handle this for you "
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"[[1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0],\n",
" [0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1],\n",
" [0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1],\n",
" [1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0],\n",
" [1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0],\n",
" [0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1],\n",
" [0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0],\n",
" [0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0],\n",
" [1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0],\n",
" [0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0],\n",
" [0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0],\n",
" [0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1],\n",
" [1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0],\n",
" [0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1],\n",
" [0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1]]"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"matrix = build_adjmat(state)\n",
"display(matrix)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"and voila! We have an adjacency matrix. Now all we need to do is to pass this matrix to one of our solvers in the `vertex-color-solver` package"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Solve the model "
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The `Solver` API is pretty straightforward. You pass the adjacency matrix to the constructor, pick the solver type and call the `solve` method"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {
"scrolled": false
},
"outputs": [],
"source": [
"solver = Solver(matrix)"
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"['IP', 'DP', 'CP', 'Greedy']"
]
},
"execution_count": 7,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"solver.list_solvers()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"There are many algorithms that can solve the vertex coloring problems. The most popular (or basic) is formulating the problem as an Integer Program and solving it using the Branch and Bound algorithm. If you feel confused about my usage of the terms \"problem\" \"model\" and \"algorithm\", refer to this [blog post](https://medium.com/@mohamedleila/the-big-picture-of-operations-research-8652d5153aad) for more details. "
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Let's chose the Integer Programming solver (since I haven't implemented the others yet)"
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {},
"outputs": [],
"source": [
"solver.solve('IP')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"and we're done! let's view the solution"
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"[[0, 0],\n",
" [1, 1],\n",
" [2, 3],\n",
" [3, 1],\n",
" [4, 2],\n",
" [5, 0],\n",
" [6, 2],\n",
" [7, 3],\n",
" [8, 3],\n",
" [9, 3],\n",
" [10, 3],\n",
" [11, 0],\n",
" [12, 2],\n",
" [13, 1],\n",
" [14, 2]]"
]
},
"execution_count": 10,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"solver.solution"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Cool! This data structure holds all informaiton needed to color back our map. The final step is to pass it back to the `map-grapher` package "
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Color the Map"
]
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {},
"outputs": [],
"source": [
"colored_map = color_map(state, solver.solution)"
]
},
{
"cell_type": "code",
"execution_count": 12,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 576x576 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig = plot_map(colored_map, map_name+'_colored')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Congratulations! You just colored a map of Arizona using Integer Programming. Download this notebook and try it yourself with other states. I reccommend you start with states where the number of counties is small. You will notice that the algorithm struggles when the geometry of the maps grows more complex (Good luck coloring California)."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"A complex geometry means larger numnber of vertices as well as edges. As the number of vertices and edges grow, the number of possible combinaitons explodes and it becomes harder for the Branch and Bound algorithm to find for an optimal solution. This can be improved by either using a tighter formulation (better linear relaxation) or just abandoning Integer Programming all together and trying somethings else. "
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"My next step is to add a Greedy heuristic and see how well it would do. You will notice it will run blazingly fast but most of the time generates suboptimal solutions (i.e. uses more colors). Another interesting approach will be seeing how `Constraint Programming` performs in comparison. "
]
}
],
"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": "3.5.2"
}
},
"nbformat": 4,
"nbformat_minor": 2
}
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