{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Инфраструктура Python. Графы" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Библиотека `networkx` (входящая в Anaconda) умеет почти все, что можно сделать с графами. Для визуализации ей еще следует поставить программу `graphviz` http://www.graphviz.org/Download_windows.php и библиотеку `pydotplus`. Также может пригодиться программа Gephi https://gephi.org/ ." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "```\n", "pip instlal pydotplus\n", "pip install pygraphviz\n", "```" ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Populating the interactive namespace from numpy and matplotlib\n" ] } ], "source": [ "%pylab inline\n", "import networkx, IPython, itertools, delegator\n", "from io import BytesIO\n", "import PIL" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Создание графов" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Графы в `networkx` можно задавать вызовами `add_edge`," ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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YiqRCIgVZYlw8fZp3nUoFnDkjeq+TJul3HH1exLp6YdoYORI4fRq4e1dzvT7i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ZXAFfXrCyFepEjm2qgW/vlJGAPaWoG0DBuWsTBWKPKfVkAiyQRSIEskmqgDVzx4ICybV65MX0ZX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\nEolEYgb8P1OfC4HFSnVlAAAAAElFTkSuQmCC\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "G = networkx.Graph()\n", "v1 = [21,4,14,0,31,46,1,34,2,3,27,19,47,46,17,11,41,12,31,0,34,18,8,14,23,40,0,18,48,35,42,24,25,32,25,44,17,6,44,34,12,39,43,39,26,34,10,6,13,2,40,15,16,32,32,29,1,23,8,10,49,22,10,15,40,20,0,30,1,43,33,42,28,39,28,4,38,11,5,1,47,12,0,22,20,33,33,34,18,8,23,6]\n", "v2 = [25,5,39,20,44,47,11,49,42,17,25,15,23,11,32,17,24,4,11,47,27,41,40,0,49,27,5,28,6,11,18,0,17,1,0,32,45,28,17,5,13,40,40,25,33,7,8,32,12,0,39,30,8,39,23,9,8,34,34,37,5,1,24,23,0,29,11,42,29,40,24,18,37,1,21,0,31,47,23,33,45,48,31,11,40,45,24,22,19,26,37,39]\n", "for i in range(len(v1)):\n", " G.add_edge(v1[i], v2[i])\n", "# или g.add_edges_from(zip(v1, v2))\n", "pos=networkx.nx_pydot.graphviz_layout(G)\n", "networkx.draw(G, pos, with_labels=True, font_color='w')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "из списка смежности," ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "collapsed": false, "scrolled": true }, "outputs": [ { "data": { "image/png": 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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "G = networkx.from_edgelist([(0, 1), (1, 2), (2, 3), (2, 4)])\n", "networkx.draw(G, pos=networkx.nx_pydot.graphviz_layout(G), with_labels=True, font_color='w')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "из словаря смежности," ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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SEZYz0YM0GhT36gXzwsLav9fGBoiNBXT4sARJkpCenl6ptJOSknDp0iW0aNFC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\nwrCciYiIFIblTEREpDAsZyIiIoX5f0DN8ynqJelCAAAAAElFTkSuQmCC\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "G = networkx.from_dict_of_lists({0: [1, 2, 3], 1: [2, 4], 2: [5, 6]})\n", "networkx.draw(G, with_labels=True, font_color='w')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "из матрицы смежности." ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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IyMhAdnY2OnfujCFDhqB///5o1qwZLCwsxCZvRVNWVoYRI0agXbt2+Pnnn9kO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\nCZkQQggRAErIhBBCiAD8PxYBWPgjqI2JAAAAAElFTkSuQmCC\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "G = networkx.from_numpy_array(array(\n", "[[0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1],\n", " [1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n", " [0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0],\n", " [0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0],\n", " [0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0],\n", " [1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n", " [0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0],\n", " [0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0],\n", " [0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0],\n", " [0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0],\n", " [0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0],\n", " [0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0],\n", " [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1],\n", " [0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0],\n", " [0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0],\n", " [0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0],\n", " [0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1],\n", " [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0]]))\n", "networkx.draw(G, pos=networkx.nx_pydot.graphviz_layout(G), with_labels=True, font_color='w')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Библиотека `networkx` знает ряд именованых графов, умеет строить сетки, полные графы" ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "collapsed": true }, "outputs": [], "source": [ "def trydefault(fn, default=None):\n", " try:\n", " return fn()\n", " except:\n", " return default" ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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AKf3jHz58iMuXL+P9+/c4e/YsAKS7jdDQUBgYGMDa2jpbsQr5m5OTE0JDQzM9sEDjxo3x\n+vVr3Lp1Czt27ECXLl1U33Xp0gWtW7dGWFgYoqOjMXDgQFU++zRfAsCECRMgkUhw9+5dvH//Hlu3\nbs3wWaVP2dnZqT2X+Gl5+DTtkJAQ9O/fH0uXLsXbt2/x7t07uLu7q6X7aRn7UJ6Fgie9fK5N3axN\nvejk5ITIyMg0n/3Wpu7NSGbzd1JSEr777jv88MMPiIiIwLt379CiRQu1NKOiohAXF6e2b19i/k7r\neBoaGgog499OUz34MRMTE8yfPx+PHz/Gn3/+iQULFqR6Jv9TXbp0wfnz5xESEgKJRIJx48YBAOzt\n7dWe9fz4d8soP6dV/2ri5OSEiRMn4t27d6pXfHw8OnfunOVtpsXIyAhfffUVFi9eDHd3dxQuXBh1\n6tTBggUL4Obmpipvae27vr6+WqM1M/u2atUqtX1LSEhAnTp1srwfopxmnqbyl1H+S6+MDBo0COXK\nlUNgYCDev3+PWbNmpapvP/4dPv3dSKq911SunJycUKRIEbx580YV4/v373Hv3j0AKRcc1qxZg+fP\nn2PVqlUYPHiwxvFzMorl09gB7c6h0mqbFDSiQZvHli1bhmfPniEyMhI///wzOnbsiCpVquDevXu4\ndesWEhMT1QbJyYratWujUKFCWLp0KRQKBf744w9cuXJF4zoxMTEoWrQozM3NERkZienTp6daZuvW\nrbh//z7i4+MxZcoUtG/fHoUKFcpWrEL+VrNmTdjZ2WH8+PGIi4tDYmIiLly4kOF6BgYG6NChA8aM\nGYPIyEg0btxY9V1MTAwsLS1haGiIK1euYPv27arvpFIp9PT08PjxY7XljY2NYWZmhvDwcPz666+Z\n3g9fX1/Mnj0bUVFRCA8Px9KlSzUuHxcXB4lEAqlUCgDYsGED/v33X7VlXr16hSVLlkAul2P37t14\n8OABWrRokenYBN1LL59XrVoVZ8+eRWhoKKKjozF79uxU62pTL9rZ2aF58+YYPHgwoqKiIJfLVY0f\nberejPj6+mLx4sUIDw/Hu3fvMHfuXI3Ly2QyJCUlQSqVQl9fH0eOHMHx48dTLTd16lTIZDKcO3cO\n/v7+6NChQ6ZjK+hq164NfX19VVnft2+f6nia0W+nqR78mL+/P4KCgkASZmZmKFSoEPT00j89e/jw\nIf766y8kJSXB0NAQRYsWVS3fuXNnzJw5E69fv8abN2/w008/qQasyehco3jx4mp1b0b69++PlStX\n4vLlyyCJuLg4HDp0CDExMVpvQ1teXl5YunQpvLy8AKQMoPTxeyBl3xcuXIgnT54gNjYWEyZMQMeO\nHbPU82LgwIGYPXu2quERHR2N3bt3Z2sfRDnNPE3lT1P+01RGYmJiYGpqCmNjYwQEBGDFihUaY/D2\n9sbdu3dx4MABKBQKLFu2TK3Rquk4YWdnhyZNmmD06NF4//49lEolgoODcebMGQDA7t27VQ1SCwsL\nSCQSjWU/o1jSos05VFptk4JGNGjzWJcuXVTditzc3DBp0iSUKVMGU6ZMQaNGjVC6dOlUoxBmVuHC\nhbFv3z6sW7cO5ubm2Lp1K1q2bIkiRYqku86IESOQkJAAa2treHp6olmzZqmW6d69O3r16gVbW1sk\nJiZiyZIl2YpTyP8KFSqEgwcPIigoCCVKlICjoyN27dql1bpdunTByZMn0aFDB7UTiuXLl2PKlCkw\nMTHBTz/9BF9fX9V3RkZGqlEezc3NcenSJUydOhU3btyAmZkZvL290a5du0zvx5QpU+Do6IiSJUui\nUaNGaN++vcbyUKFCBYwePRq1a9dG8eLFcffuXdStW1dtmVq1aiEwMBDW1taYOHEi9uzZAysrq0zH\nJuheevm8cePG6NixIypXroyvvvoKLVu2TLWutvXili1bYGBggHLlysHGxgaLFi0CoF3dm5H+/fuj\nSZMmqFy5MqpVq4YWLVpAX18/3QuOJiYmWLJkCXx9fWFhYYHt27erRt/9wNbWFhYWFrC3t0fXrl2x\ncuVKlCtXLtOxFXQfjqcbN26EpaUldu3apaqDtPnt0qsHPxYYGIhGjRrB2NgYtWvXxuDBg/Htt9+m\nG1NSUhLGjx8Pa2tr2Nra4tWrV6qT6EmTJsHDwwOVK1dGpUqVUL16ddVoyhmda/Tt2xf379+Hubm5\nahRuTTw8PLBmzRoMHToUFhYWKFWqFDZu3Jjhelnh5eWFmJgYVffiT98DQJ8+fdC9e3fUq1cPJUuW\nhKGhIX777bcspde2bVuMGzcOnTp1gqmpKdzd3VUj+WeVKKeZp6n8acp/msrIvHnzsH37dpiYmKB/\n//4ZNt6sra2xe/dujB07FlZWVrh//z48PDxU5xAZHSc2b94MmUymGkW4ffv2ePHiBYCUmU9q1aoF\nY2NjtG7dGosXL4arq2uWY0mLNudQabVNChoJM9t3TyiQatWqhYEDB6J3795ZWr9+/fro1q0b+vXr\nl8ORCULeW7FiBXbu3Km6SppZGzduxNq1a3H+/PkcjkwQsu/IkSMYOHCgWvfLzDh9+jS6deuW6emD\nBEHQniinBZNSqYSjoyO2bdum8cJTQYnFxcUFa9euRaNGjXI4urwl7tB+ps6cOYOXL19CoVBg06ZN\nuHPnTpau/AvC5+DFixe4cOEClEolHj58iPnz56Nt27a6DksQckRCQgIOHz4MhUKB8PBwTJ8+XeRv\nQchnRDktuI4dO4Z3794hKSlJ9cytp6fnFx9LfiIatAVUaGgojI2N03yFhobi4cOHqFKlCszNzTF/\n/nzs2bMHdnZ2ug5bEHJN8+bN0ywPs2bNgkwmg5+fH0xMTNCgQQP4+Phg8ODBug5ZELQ2cODANPP3\nh0HVpk6dCgsLC1SrVg3ly5fHTz/9pOuQhWzI6Bj/uZk1a1aa+9q8eXNdh5Ypopx+ni5evKgagOzg\nwYM4cOAAihYtmitpnTt3Lt2yn9exFCSiy7EgCIIgCIIgCIJQIIk7tIIgCIIgCIIgCEKBJBq0giAI\ngiAIgiAIQoEkGrSCIAiCIAiCIAhCgSQatIIgCIIgCIIgCEKBJBq0giAIgiAIgiAIQoEkGrSCIAiC\nIAiCIAhCgSQatIIgCIIgCIIgCEKBJBq0giAIgiAIgiAIQoEkGrSCIAiCIAiCIAhCgSQatIIgCIIg\nCIIgCEKBJBq0wucrOBgYPBgwNQX09FL+HTw45XPh8yF+Z6EgE/lX+NyJPC4IOUeUpzRJSFLXQQhC\njjtyBGjfHpDLU14fGBikvPbsAZo31118Qs4Qv7NQkIn8K3zuRB4XhJwjylO6RINW+PwEBwOVKwPx\n8ekvY2QE3LkDuLnlXVxCzhK/s1CQifwrfO5EHheEnCPKk0aiy7Hw+Zk/X/3KVVrkcmDhwryJR8gd\n4ncWCjKRf4XPXU7ncdHVUsgtBSFviWOGRuIOrfD5MTUFYmK0Wy46OvfjEXKH+J2FgkzkX+Fzl5N5\nXHS1FHJLPs5bJBEfH4/o6GgUL1MGheLiMl7pCz1miAat8PnR0wO0ydZ6ekBycu7HI+QO8TsLBZnI\nv8LnLqfyuOhqKeSWXM5biYmJePfuHaKjo9Ve2n4WHR0NAwMDmJmZIfzlS+261X6hxwx9XQcgCDnO\n2Fi7q8LGxrkfi5B7xO8sFGA0NoZEi/zLYsUgyYN4BCHH5VQdnZmulkuXah+fIGiRtyiT4fWPP+Ku\nn1+mG6YAYG5uDjMzM9Xr0/eurq5q7z9extTUFIULF04JRNseD1/oOY9o0Aqfn27dgLVrNVdSBgZA\n9+55F5OQ87p1g3L1auhpuhIpfmchH/L390ckiS4SCfQ13MFSSCTYkJSE6wMHYujQoXB3d8/DKAUh\nm3LqWLx1q3YN2i1bRINWyBwt8pZEoYDR3r34+c2bVI1OJycnuLu7p9lQNTMzg6GhYc7FqkV5kgG4\nWKIE3N++hZWVVc6lXQCILsfC5yc4GMpKlaCXkJD+MqJ7UoF398ABuLVtCyMNy8gMDGBw/z4kpUrl\nWVyCkJ7nz59j+PDhuHnzJjZNmYK6gwZl2NXt9alTWHH8OFatWoUyZcpg6NCh8PHxgb6+uB4t5HM5\n1Z1TdM8XcktByltalCcWLYrp332H5ceOYdKkSRg0aBAMDAzyMEjdEaMcC58fNzf8WrMmZB8e6P+Y\ngUHKAXTPHtGYLcCCg4PRdPBg3Jo0CcmGhkh1vdLAAMqiRTHKyQl9Z82CTCbTRZiCAABQKpVYvnw5\nqlSpgrJly+Lu3buo26NHSj1kZKSxnpJ6emLKlCl48uQJBg4ciIULF8LV1RWzZs3C69evdbNDgqAN\nN7d087hCT0/7Y7G2XSi/0K6WQjYUpLz1X3lSGhoi1RnNf8cMyd69mLZlC/7++2/4+/ujSpUqOHr0\nqC6izXOiQSt8ds6fP4+lwcFQXL8ODBigPgz7gAEpV4PFaIgF1qtXr9CsWTNMmTIFdWbMwLzu3XHD\nwwPJxYpBCah+Z727dzH3zh1ERUWhcePGePv2ra5DF75Ad+/eRd26dbFt2zacPn0aM2fORNGiRVO+\nbN48pT76r56iRIL3ABK6d09VTxUuXBgdO3bE+fPn8ccffyA4OBhlypRBr169cO3aNd3snCBk5KM8\nnmxsjGQAsqJFsalwYciuXdPuWNytG5L1MjhdFY+XCFnRrRuUGfV2yU95q3lzTGzVCrdr1tR4blux\nYkUcO3YMc+fOxffffw9vb288fPhQx8HnMgrCZ0ShULBatWrctm2brkMRckFsbCxr1KjBiRMnqj6r\nUKECL1++zOjoaBYrVoxKpVJtneTkZI4dO5alSpViQEBAXocsfKHi4uI4fvx4Wltbc+XKlUxOTtZq\nvY4dO3LlypVaLfvmzRvOnTuXzs7O9PT05NatW5mUlJSdsAUh1wQEBLBYsWI8cOAA69Wrx/3792u1\n3oH58xknkZApnUPTfhkZkUFBubwHwufm/sGDjNOUr/JZ3nr58iXNzc356tUrrddJSkrivHnzaG1t\nzREjRjAyMjIXI9QdcYdW+KysX78eRkZG6Ny5s65DEXKYXC6Hr68vKlasiBkzZgAAHj9+jDdv3sDD\nwwOmpqYoWrRoqm6Yenp6mDt3Ln788UfUq1cPp06d0kX4whfk+PHjqFSpEp48eYK7d+/Cz88Pehnd\nYfpPp06dsHPnTq2WtbKywtixYxEcHIzx48djw4YNcHZ2xpQpU/D8+fPs7IIg5DiSKFSoEKKiotCr\nVy9s2rQpw3UuXLiA/nPmYL6nJ5L09dPtaikeIxIy6969e2jQvz+u//hjho9+5Je8tWLFCvj6+kIq\nlWq9TuHChTF69Gjcu3cP8fHxKFeuHFasWAGFQpGLkeqArlvUgpBToqKiWLx4cV6/fl3XoQg5TKlU\nsk+fPmzWrBllMpnq8yVLlrB3796q9zVq1ODFixfT3c7ff//N4sWLc/Xq1bkar/BlioiIYJcuXeji\n4sLDhw9naRsJCQm0sLDg8+fPs7T+/fv3OXjwYJqbm9PX15fnzp1L1WtBEHThwYMHtLCw4Pz58/n+\n/XuamZlpvNMUFBREW1tbrlq1ilKplDt//pmHSpYkTU1JPb2Uf4cMyTd3z4SC4+HDh7S3t+eWLVtS\nPggKIocModzIiMlAvsxb8fHxtLGx4YMHD7K1nVu3brF+/fp0d3fniRMncig63RN3aIXPxvTp09G6\ndWtUr15d16EIOWzq1Km4c+cOdu/erTZin7+/P1q2bKl67+rqisePH6e7nfr16+PcuXOYN28eRo8e\njWRdj1oofBZIYt26dXB3d4eDgwP+/fdfNM/ic/qGhoZo1aoVdu/enaX1y5cvj2XLluHp06eoW7cu\n+vTpg+rVq2PdunVI0DTyuyDkMpLQ09NDVFQUTExM0Lp1a2zfvj3NZaOiotCyZUtMmTIFhw4dwvjx\n43Hm2TM8HDYMiI5OGXE2Ojplmp58cvdMKBiCg4PRsGFDzJgxA926dUv50M0NWLoUJ/fuRYumTfNl\n3tq6dStq1KiBcuXKZWs7VapUwV9//YWffvoJfn5+8PHxQVBQUA5FqTuiQSt8Fh48eICtW7fi559/\n1nUoQg5btWoVtm/fjkOHDsH4o5EGY2Nj8c8//6Bx48aqzzJq0AJA6dKlcfHiRdy8eRNt2rRBjKaJ\nyoODgcF7nZGqAAAgAElEQVSD1QdfGDw45XNBABAQEID69etj1apVOH78OH755RcUK1YsW9vMTLfj\n9JiZmeH7779HQEAA5syZgwMHDqBEiRIYO3Ysnj59mq1tC0JWkIS+vj4iIyMBAL169cLGjRtTLSeX\ny9G+fXs0a9YMlSpVwu3btzFkyBCcPXsW33zzTR5HLXxOQkJC0LBhQ0yYMAF9+vRJ9b1MJsuX09wo\nlUosXLgQo0aNypHtSSQStG3bFvfu3UOdOnXg6emJMWPGIDo6Oke2rwuiQSsUeCQxYsQITJw4MVPP\nFQj53x9//IFp06bh6NGjsLGxUfvu5MmTqF27NkxMTFSfadOgBQBLS0scO3YMdnZ2+PrrrxEaGpp6\noSNHUuZ8W7sWiIlJGR4iJiblfeXKKd8LX6zExERMnToVX3/9Ndq3b4+LFy+iatWqObLtRo0aITAw\nECEhIdnelp6eHpo2bYqDBw/i0qVLSE5OhoeHB3x8fHDy5ElQTEUv5KEPz9ACKT1mIiMjcfv2bdX3\nJDFo0CAYGRnh119/xdixYzFjxgzExsYiLCwsx8qY8OUJDw9HgwYNMGLECAwaNCjNZeRyOQoXLpzH\nkWXs2LFjKFy4ML799tsc3a6hoSHGjRuHf//9F5GRkShXrhzWrFlTIHuviQatUOD9+eefCAsLw5Ah\nQ3QdipCDLl68iH79+uHPP/9EqVKlUn3v7+8Pb29vtc9cXV3x5MkTrbZvYGCAVatWoWfPnqhduzau\nXLny/y+Dg4H27VMmMJd/MsutXJ7yefv24k7tF+r06dOoUqUK7t69i1u3bmHYsGEoVKhQjm3fwMAA\nbdu2xe+//55j2wQANzc3zJ8/HyEhIfD29sbIkSNRoUIFLFu2THNPBUHIAfxvUKgPd2j19PTQo0cP\ntcGh5s2bh2vXrmHHjh04ePAg4uPj0bVrV5w/fx6enp7Qz2iKFUFIw8uXL9GgQQMMGDAAI0aMSHc5\nmUyWLxu0CxYswKhRoyCRSHJl+7a2tli3bh38/f2xefNmeHh44MyZM7mSVq7R4fO7gpBtCQkJdHV1\n5bFjx3QdipCDAgICWLx48XQH1klOTqatrS2DPhmw4cmTJyxRokSm0/vzzz8plUq5a9eulA8GDSIN\nDDQP5W9gkDJohPDFePPmDXv37k0nJyceOHAgV9M6deoUq1evnqtpKJVKnj59mu3bt6eFhQWHDRsm\nprYScs3du3fp4uLCmjVrqj4LDAykjY0NZTIZ9+7dSwcHB4aGhlIul7Ns2bI8cuQISXLUqFGcOXOm\nrkIXCrBXr16xQoUKnD59eobLbty4kd27d8+DqLR3+/Zt2tvb59mUbEqlkrt27aKzszO/++47Pn78\nOE/SzS5xh1Yo0BYuXAh3d3c0adJE16EIOeTFixdo1qwZZs+ene7AOjdu3IC5uTncPhmwwdHRERER\nEZDJUk3uoFGrVq1w4sQJjBkzBjNnzgS3bk19Z/ZTcjmwZUum0hEKJpLYsmULKlasCBMTE9y7dw8+\nPj65mqaXlxeeP3+OwMDAXEtDIpHAy8sLu3fvxu3bt2FiYoJ69eqhadOm8Pf3L5Ddzr4IefVsfy6k\n8/EztABQqlQplClTBkuWLIGfnx/++OMPODk5Yf369XBwcEDTpk0BAOfOnUO9evWyvUvClyUyMhKN\nGzdGmzZtMHny5AyXz49djhcuXIihQ4fmWVwSiQS+vr548OABqlatCg8PD0yYMCH/9+LRdYtaELLq\n2bNntLS0THWXTii4oqOjWbVqVc6YMUPjclOnTuUPP/yQ5ndubm589OhRptNWKBQ8evQonZycUobt\n1+alp5fpdISCJTAwkI0aNWLVqlV55cqVPE176NChGZaFnJaQkMBNmzbRw8ODrq6unDdvHiMjI/M0\nBkGDw4dJI6PUPUgMDFI+z+J0UXmRzp07d1i2bFlaWVmpfT537lwaGhpy//79JMnY2Fja29uryltM\nTAyLFSvGhISE7O+X8MV49+4dPTw8OHr0aK2nLlu2bBkHDRqUy5Fp7/nz5zQ3N+fbt291FsOzZ8/Y\nvXt32tvbc8OGDUxOTtZZLJqIO7RCgTV+/HgMGDAg1V06oWCSyWRo164dPD09MXHiRI3Lfjpdz8dK\nliyp1cBQycnJuHnzJhYsWIDWrVvD2toaI0eORLNmzZCg7fOQH426LHxeZDIZZs2aBU9PTzRr1gxX\nr15FjRo18jSGnBjtOLMMDQ3Ro0cPXL16Fdu3b8etW7fg6uqKAQMG4M6dO3kai/CJvHq2P5fSMQgN\nxdRXr/D47Vvwvzu+sn798PfatQCAr7/+GgCwaNEifP3116rydvHiRVSvXh2GhobZ2y/hixETE4Nm\nzZrB09MTv/76q9bPnua3UY6XLVuGLl26wNLSUmcxODg4YPPmzdi3bx9WrVqFWrVq4cKFCzqLJz2i\nQSsUSBcvXsRff/2FCRMm6DoUIQcolUr06dMHxsbGWLp0qcaDz4sXL/D48WPUqVMnze/TG+lYqVTi\n1q1bWLRoEXx8fCCVStGlSxcEBgaia9euCAgIwP3797F69WoY9e8PhZ7m6lGprw907565HRUKhAsX\nLqB69eq4cOECrl27htGjR+tkMJratWvj/fv3+Pfff/M8bQCoVasWtmzZgoCAADg5OaF58+bw8vLC\nnj17IE+vS76Y6ir3zJ+v3aMQCxfmv3SOHEGZ9u3RPioKpgAk/40aL1m/HgeePMF0T0/s2LEDb968\nwcKFC9Wm4BPT9QiZERcXB29vb1SqVAmLFy/O1EBK+anLcXx8PFatWoXhw4frOhQAUDVkR4wYgU6d\nOqFz587qM0Touu7X9S1iQcis5ORkenh4cPPmzboORcghY8aMYZ06dRgfH5/hsmvXrmXHjh3T/X7O\nnDn84YcfmJyczFu3bnHRokVs06YNLS0tWaZMGfr5+XHHjh18/vx5+okEBaV0q9PQ3TgO4N1cHhhI\nyFtRUVH08/OjnZ0dd+3apXU3tdw0evRoTpo0SddhkCRlMhl37drFb775ho6Ojpw5cyYjIiL+v0Be\ndYf9UpmYaPcohKlp/kpHi/pUUaQIW1esyOHDh3PIJ4PteXl58ejRo9nbJ+GLEB8fzwYNGrBnz55Z\n6ho7c+ZMTpgwIRciy7wVK1awdevWug4jTbGxsZwyZQotLS05efJkJuzbp/O6XzRohQJn3bp19PT0\nzLf9+IXMWbRoEcuVK8c3b95otXybNm24ZcuWVJ8nJyfzzp077NWrF+3t7WlpacnSpUuzf//+3L59\nO8PDwzMV1/N16xgLUC6RpFlBX5g0iTY2Nrx27VqmtivkPx9GdbS3t6efnx+joqJ0HZLK1atXWapU\nqXzRuP7YzZs32bdvX5qbm7N79+68tXdvho0WGhmlNG6ErPm0LsqtZ/u1TCcZYL9+/Th58mQuX76c\n+/bt48WLF/n06VMmJib+f3tajBqvNDDgeiMjmpqaql0kSUxMZLFixfj+/fvs7ZPw2UtMTGSzZs3Y\nqVMnKhSKLG1jypQpnDp1as4GlgXJycksU6YMz5w5o+tQNAoJCeH33t6My6jOyIO6X0zoJRQo0dHR\nmDhxIv7880/oZdAlVMj/fv/9d/z666+4cOECrKysMlw+MTERf/31F9asWQOlUon79+/j9OnTOH36\nNM6cOQNzc3O4u7vDwMAAly9fhqOjY5biIol+e/ei9ZgxsNi4EW1iY6GfkICkwoVRpG9f6I0ejTpu\nbljt4YEWLVrA398/z5+vFHLG06dPMWTIEISEhGD37t3pdmXXla+++gokcfPmTVSvXl3X4ahUrVoV\na9euxS+//IJ169bhTq9eqBAfD41Pn33oprp0aV6F+XkxNga0GWk0u8/2a5mOrHBhVK5cGW/fvsWt\nW7fw8uVLvHjxAi9evEBERASMjY1hZ2eHKw8folgGI2ZL5HK0T07Gmlq1YGNjo/r82rVrKFeuHExM\nTLK3T8JnTSaTwdfXF0ZGRti8eXOW5wWXyWT5Iq8dPnwYJiYm+b6rfYkSJbC4RAkoCxUCFIr0F8yD\nul+0CIQCZcaMGWjevLloPHwGzpw5g6FDh8Lf3x/Ozs4ZLk8SmzdvhrW1NQYNGgRbW1v4+Pjg5s2b\naNOmDW7cuIHAwECsX78eUVFRcHBwyHJsBw8eRHBwMFoMG4YBMhkk0dGIefcOberXh/eTJ4i2tgYA\n+Pj4YO3atfD29sbly5eznJ6Q9xQKBebNmwcPDw/UrVsXN27cyHeNWSBlCoWOHTvm+eBQ2rK0tMSY\nMWPQDdDcmAXEVFfZ1a0bkMGANTQwyP6z/Vqkk1yoEI7Z2GDSpEm4f/8+GjVqhO3bt+PKlSsICwtD\nYmIiHj16hJ07d8JIqdQq2WJKJYKDg9Wezz579qyYrkfQSKFQoGvXrlAqldixY0e2BnXKL8/Qzp8/\nH6NGjcrU8786s3Ur9DQ1ZoG8qftz9f6vIOSggIAAWllZ8cWLF7oORcimO3fuUCqV8uTJk+kuo1Qq\nef/+fS5fvpwdOnSgjY0NTU1N+dVXX3HTpk0MCQlJd93sDHMfHx9PFxcXHj9+nBs3buR3332n+k4u\nl3Pw4MGsWLGi2mTj/v7+lEql/Oeff7KUppC3rly5wqpVq7JRo0YMDAzUdTgZunPnDkuUKJHvuh2r\nyavusF8yLZ5FjdfTY/jZs7mejrxwYTIoiK9fv+aaNWvYpEkTmpqasn379ty1axdjY2NVm1MUK6ZV\n3kg0NGTt2rV58OBB1brNmzfnvn37src/wmdLoVCwS5cubNKkSY5M6zRs2DAuWrQoByLLuuvXr9PR\n0ZEymUyncWgtn9T94g6tUGCMHDkS48ePh62tra5DEbIhLCwM3t7eWLx4MRo2bKj6nCQCAgKwcuVK\ndOrUCXZ2dmjevDmuXLmiugNqZWWFjRs3okePHihRokS6aaQ30rE25syZgxo1aqBx48Y4fPgwWrRo\nofpOX18fy5Ytg5+fH+rUqYN//vkHAODt7Y1NmzbBx8dH9ZmQ/8TExOD7779Hq1atMHr0aBw/fhyl\nSpXSdVgZcnd3h7GxMS5duqTrUNJFbbu5iqmuss7NDdizBzAyguLTOzcGBqCREQ716gWPjh1x9uzZ\nbKeTbGiIVGMdGxhAaWiIAZaWGLd6NSwsLNCvXz8cO3YMjx8/RrNmzbB+/XrY29ujRYsWaNCgATYq\nFEjO4BEhGQD9Xr3Qq1cvbNy4EUDK1Gr//POPajofQfiYUqlEv3798OLFCxw4cCBHpnWSyWQ6v0O7\ncOFCDBs2LF9NH6RRfqn7c7W5LAg5xN/fn2XKlGFSUpKuQxGyITIykhUqVOC8efOoVCr58OFDrly5\nkp06daKtrS2dnJzYo0cPbtiwgU+ePFFb9969e1rfpfruu++4a9euTMcXGBhIKysrhoWFUS6X09zc\nPN3BpA4fPkypVMqtW7eqPjt69CilUinPnTuX6bSF3LV//346Ojqyd+/eWg9Alp9Mnz6d33//va7D\nSEWpVPL333/nFlNTyjK6Um9gQH4ygq2QBUFB3GNrS3mxYil3PUxNU/6u/w268qEeWrZsWbbu6s/u\n14+XPDyoNDVlMkCliYkqndevX7N+/fr09vZmdHS02novX76kn58fixUrRldXV1YuVowJhQppvuNb\npAgZFMToGze4pnBhJhsbUymRMEZPL2VQKTGY2JcrKCglD5iYpNwNNDGhctAgTuzUiV9//bVab4Ds\n6tOnD9euXZtj28usZ8+e0cLCgpGRkTqLIdMGDaIyg0Hf8qLuFw1aId9LSkpi6dKleejQIV2HImgr\njQOQvH9/+ri7s2HDhuzSpQvt7e3p6OjI7t27c926dXz8+LHGk6+5c+dy8ODBWiU/ZswYzp49O1Mh\nK5VKNm/enHPnziVJnj17ltWqVdO4zt27d+ni4sLJkyerRt0+ceIEpVJpvh+d8EsRFhbGNm3asEyZ\nMvz77791HU6WBQQE0NbWNsujd+aG8+fP09PTk1WrVuX5TZvEKMd5yNbWlmFhYel+HxgYyIoVK7Jf\nv37qIw5nQtmyZXn16lWS5FdffZXqkQqZTMaBAweyfPnyDAwMZGRkJCdMmEBLS0t+//33fPnyJUny\n7du3PDZiBOP19Jj06XQ9hQoxXk+PykOHVNM+pTeyvJj26QuUzlRgcj09xuvpMW7PnhxNrlu3bjqd\nEnL8+PH58sKlJsmPHmV4wSov6n7RoBXyvV9++YUtWrTQdRiCtv47AH16xS4JYCzAufXrc+3atQwK\nCsrU3YNvvvmGh7U8oVmxYgX79++fqbAPHDjAcuXKqXoBjB8/nhMnTsxwvZcvX9LT05O+vr6qeXRP\nnTpFqVRaoBtQBZ1CoeCSJUtobW3NqVOnZvmkPj+pVq1avshTAQEBbNu2LUuUKMHNmzf/fwo1MQ9t\nnoiLi6OhoWGGU9e9f/+ebdu2Ze3atTXPu52GR48e0c7OTpVGnz59uGLFijSXXbBgAYsVK0YzMzP2\n7ds33fEN7uzfz43GxozR02MywHcAl+vpcd6gQXx/86a4ICKo0+JZ7pzOE76+vtyxY0eObS8zYmJi\naGVlxeDgYJ2kn1Vz587liLJlqRTz0ApC+l68eEErKys+fPhQ16EIGVAqlQz56y/KChfO8QPQ27dv\naWJiovWgD8eOHWPDhg213n5cXBxdXFzUBqmqXLkyL1y4oNX6CQkJ7Ny5M2vWrKkatOzvv//OcOAr\nIXfcvHmTNWrUYL169fjgwQNdh5Nj5syZQz8/P52lHxERwcGDB9Pa2ppz585VXcBRExSU0rXM1JRK\niYTvAMr9/ERDJCf81/NFUawYk4GUHjAZdMdNTk7mjBkz6ODgwIsXL2qd1Noff+Tf5curetkkFinC\n0xUqqKWVmJjIxYsX09bWlt9++y2trKy4bNmydLd55coVOjg48IcffiCZMuCTpaUlvb29udrAQHRZ\nF9RpMX9xTueJtm3bcu/evTm2vcz47bff2K5dO52knVVnzpxh8eLFUy5ifVT3JwOUGxmpPQqR20SD\nVsjXevXqpTr4CfnP48ePuX79evbo0YMlSpTg+qJFU3cXy4ED0LZt29i6dWutlw8MDGTJkiW1Xn7y\n5Mn09fVVvQ8LC6OlpWWmuncqlUpOnz6dJUqU4O3bt0mmVPbW1tY8ceKE1tsRsi42NpY//PADpVIp\n165dm+EdrILmyZMntLa2zvPRL+Pi4jhjxgxaWVlx+PDhfP36tdbr1qlTh8eOHcvF6L4Q2bz7/eef\nf1IqlXLdunVapRWvp8fkT7oRyv67IKk4eJBr166lk5MTW7ZsyZs3b5Ikg4KCWKFCBQ4cODDNPHr5\n8mVKpVL+9ttvjI6OppWVFU1NTZmQkJDyfK42I6WammbpzycUQDrIE97e3mqjbOeqjx7NUkokfC+R\n8HnbtgXm4t/Lly/p4OCQZs+5Pn36cOXKlXkaj2jQCvnW5cuXaWdnl2rACUF3nj59yo0bN7Jnz550\ndnZm8eLF2bFjR65cuZIBAQG5dlLSpUsXrl69Wuvlk5KSWKRIEcrl8gyX/XggqA9Wr17Nzp07ZyrG\nD3bs2EGpVEp/f3+SKc/iSqVScVKfyw4fPkwXFxd27dqVERERug4n13h6evLo0aN5kpZCoeDatWvp\n4OBAX19fBmXhRGvGjBkcOXJkLkT3BcmhrpcPHjxgmTJlOGTIkPQvigQFpXQd1JBWnETCzjVrptmD\nJTo6mi1btqSXl5fqwkdiYiKfPHnC1atX08jIiP369WPt2rXp6upKc3Nz2tvbp9xx1uYlpn36cuhg\nOpjGjRvnTf2azgUqZQF5PEOhULBBgwbpPpY1e/Zsjh49Ok9jEg1aIV9KTk5mrVq1uGHDBl2H8kUL\nCQnhpk2b2Lt3b7q4uNDGxoa+vr5cvnw5Hzx4QKVSyYSEBN64cYObNm2iMhdOSuRyOS0tLfns2bNM\nxe7s7Kw2V2xaPgwE9csvv6h93qZNG27ZsiVT6X3s4sWLtLOz44IFC6hUKnn+/HlKpVIeOXIky9v8\nYqUxwNjH3SxfvHjBjh070tXV9Yu4aLBw4UL26tUrV9NQKpU8fPgw3d3d+fXXX/PSpUtZ3ta1a9dY\nrly5HIzuC5SDXS/fvXtHb29v1qtXL+0LP4MGUZHBAC/JhQpROXgw5XI5w8PDefXqVR44cIDLly/n\npEmT2Lt3b5YsWZIGBgY0NzdnWX19bipWTPXsbJy+PlcWKsR1EyZw9OjRbNiwYd7coc2gLhHyGR3c\noa1fvz7/+uuvHNtemnTwbHBOmzx5Mhs0aJBuL7Y9e/bQx8cnT2MSDVohX9q0aRNr1qz52XUZzO/C\nwsK4efNm9unTh66urpRKpezQoQOXLVvGO3fuMCAggHv37uW0adP43XffsWzZsjQ0NGTFihXZqVMn\nJhYpkuMHIG1GG07Lt99+m+Hzq/v372f58uXVpoNKTEykqakpX716lek0P/b06VNWqlSJAwYMoEwm\n4z///KN251bQgoZulkojIx4aOpTW1tYcP3484+LidB1tnvgwrUNuDXJ1/fp1NmzYkGXLluWBAwey\nNe0LmXJx0sbGJtU0XEImaHlirzA25osXLxgfH6/xd1MoFJw4cSJLlCjBa9euZSmtaImE+vr6LF68\nOKtVq8aWLVtywIABnDZtGlevXk1/f3/+/PPP7GBsnDIlTxqj1NLIiLG7d6d0O+7TJ3eflxQDlhU8\nWlzISQL4V4UKfPr0aY4kWadOHZ4/fz5HtpUuHTwbnJOOHj1KBwcH1Sjmabl16xYrVKiQh1GREpLM\n3ZluBSFzYmJiUK5cOezbtw+1atXSdTj5W3AwMH8+sHUrEBubMnF1t27A6NGAm1uGq4eHh+P06dP4\n+++/cfr0aURHR8PLywvVq1eHlZUVYmJi8O+//+Lu3bsICAiAjY0N3N3dUalSJVSqVAnu7u4oW7bs\n/yciHzwYWLsWkMvTTZMGBpAMGAAsXarVLo4bNw5FihTBTz/9pNXyH/Tt2xeenp7o379/mt/Hx8ej\nQoUKWL9+PRo0aKD6/NSpU5g4cSIuXbqUqfTS8v79e3Tu3BlJSUnYvXs3Hj16hFatWmHdunVo1apV\ntrf/WQsOBipXBuLj010kQU8PoQcPomyLFnkYmO7Vr18fo0aNQuvWrXNsmyEhIZg0aRJOnjyJKVOm\noF+/fjAwMMiRbffo0QN16tTBwIEDc2R7Xxw9vZTT3AwoAdgXL47o6GgoFAqYmprCzMwMpqamaf4/\nNDQUBw8eRLdu3dCsWTOYmpqifsOGkGiZ1txZs+Dm5gYXFxe4uLhAKpVCIpH8f6HgYCS7u6NQYmL6\nGzIywjAvL9SpWxedZ83SWN5hZATcuaPVsU2NFnVJlrct5B4tfjcWLYr5PXti9u+/w9fXFxMmTICT\nk1OWk6xRowaWLVuGmjVrZnkbGTI1BWJitFsuOjr34siCsLAw1KhRA7///jvq1auX7nJxcXGwtrZG\nXFwc9PT08iQ20aAV8p3x48fjxYsX2LRpk65Dyd+OHAHat09pPH7cgDQwSHnt2QM0b662yvPnz3H6\n9GnV6+3bt6hUqRKKFy8OPT09hIeH4969e9DT01NrtFaqVAkVKlSAqamp5pi0OAAlFioE2dWrMK1W\nTavdrFixIjZs2JDpA8zPP/+M2NhYzJ49O83vJ0+ejMDAQOzcuVPt89GjR8PMzAxTpkzJVHrpSU5O\nxg8//IAjR47A398fUVFRaNmyJVavXg0fH58cSeOzlAsXRz4XK1aswLlz57B9+/Zsb+vdu3eYNWsW\n1q1bhyFDhmDMmDEwMTHJgSj/b/v27di1axf++OOPHN3uF0PLE2CFkREKxcZCIpFAJpPh/fv3qld0\ndHSq/0dHR+PJkyc4dOgQbGxs4OjoCP9z52CixWlhrJ4evqlcGQkJCYiNjcW7d++gUChgY2MDe3t7\nlChRAiMDA1Hz7l0USk5Of0MGBnjSuDF6xsTg9LhxSGrdGoUlErV1FHp60Dc0TPOYphUt6hIYGABf\nYF2S3/HwYSS2aoUiEgn0Ps5Hn5znvH79GvPmzcOaNWvQuXNn/Pjjj3B0dNQ+of9uDsSuWoViJCSZ\nvDmQKVpeoIKeHqCp7OQxuVwOLy8v+Pj4YNy4cRku7+DggH/++QfOzs55EB0guhwL+cqHAXoyO2fe\nF0fLZzAi/vmHO3bsYN++fens7ExjY2OWLl2a5cuXZ/HixWlkZMSaNWuyT58+XLhwIU+cOMGXL19m\nr5thOl27ZACVRkZc3qoV3dzceOPGjQw39fjxY9rY2GSp6/n27dvVRi7+2KNHj2hlZZXmc7nlypXj\n1atXM51eRlasWMHixYvzzJkzvHbtGm1sbHQ2PUCBIEY9TVdERATNzMyy1c06MTGRCxcupFQqZb9+\n/RgeHp6DEap7/fo1TU1N1br2C5mgRRdFhZ4et1lYsFSpUpwzZ45q+jBtvH37lo0aNWKjRo34d4UK\nVOjpZfgM7YOGDfnbb79x5syZHDt2LP38/Ni+fXvWq1ePFSpUoL29PaO1Kb8AlaamtLKy4vz589mu\nShUqBw9WTfsUq6/P9UZGlGVn+i1RlxRYFy5c4LclSqjyBPX0Uv5NZzqYiIgI/vDDD7SwsODQoUO1\nq9fyujt6Ac2PI0eOZMuWLbU+H/Py8srTGR5Eg1bIV1q1asU5c+boOoz8T8tnS5ZJJDQ2Nqa+vj5d\nXV3p6+vLGTNm8MCBAwwODs69Z5Q/mo+MenpUmppyj60tt06fTpLcuXMnpVIpV61apbHx/Ntvv7F3\n795ZCuHSpUv08PBI9blSqWTTpk3566+/pvouOw1obRw/fpw2NjbcsGEDr1+/ThsbG+7evTtX0irw\ndDDCZUHSpEkT/v7775leT6lUcufOnXR1dWWLFi149+7dXIgutVq1avHUqVN5ktZnR4uRh2lkRGVg\nIC9evMi+ffvS3Nycbdq0ob+/v1bTj8nlco4aNYplChVKeeZVUwNU2wFrMlGG+/fvTzMzM7XnF8+f\nP9AzdOYAACAASURBVM+aNWuybt263L9/f9b/fqIuKbB8fX25aNGiTK/38uVLjho1ihYWFhw+fHj6\nN0l0MUDToEGppsRK9cpnz9Du3buXLi4ufPv2rdbr9OvXj8uXL8/FqNSJBq2Qbxw9epSlSpXKtcFO\nPitaXuFLKlqUt2/fzhd/0zt37lAqlaoGWwoICKC7uzu7d+/O2NjYNNdp2rQp9+zZk6X0Xr16RUtL\ny1Sf79u3jxUqVEhz2oply5axZ8+eWUpPWw8ePKCbmxvHjx/P69evs3jx4ty1a1euplkgaZnHlfns\nKnZeWbduHdu1a5epdc6ePcuaNWuyevXqed64nDp1qphTPBvOTZjAeIkkZVoPLe4iRUdHc/Xq1axZ\nsyYdHR05efLkDAfmun//Pi0tLelrYsJYgEp9ffWypq/PeD09/pvGxcA0ZeJOlJ+fH01MTNQucEZG\nRtLExIQbN25k8+bNM/snI5ly3In7ZD8Kyh2xL11oaCgtLCyyNXXj8+fPOXz4cFpYWHDkyJGpBzLS\nwQBNwcePMy6jvJiPRjkODAykVCrllStXMrXe3Llz83TKNtGgFfIFmUzGcuXK8c8//9R1KAVDAb3i\nPHLkSLU7rnFxcezZsycrVqzI+/fvqy0bExNDY2PjLB/MlEoljY2N+e7dO7X0nJ2d0x2W39vbO08a\nl69fv+Y333zDdu3a8dKlS7S1teWOHTtyPd0CRYsTDZlEwvVGRpw2bdoX95hCZGQkTU1NtSofDx48\nYOvWrens7MytW7fqZPT4S5cu0d3dPc/T/RwkJSXRzc2N5zdtUuv5oqnr5cdu377NYcOG0crKSnVn\nP62LnHPnzuWgQYM4ePBguhctyotffUWlqSmTAcbq6/PvihU5vkMH7e+6aNlYiOvdm5aWlnR0dOT1\n69fVNmFnZ8eHDx/S0tKSISEhWv/N7t+/T19fXxYvXpw369RJfSEgn98RE8hx48Zx+PDhObKt8PBw\nDhs2jBYWFhw9evT/p6zK4+6/b9++ZenSpXl0+PACMep2fHw8q1SpwqVLl2Z63X379rFVq1a5EFXa\nRINWyBcWLFjApk2bZnuKiC9GAX0GIzo6mvb29mrdypRKJdeuXUtra2tu375d9fn+/fvZqFGjbKVX\nuXJl3rx5U/V+4sSJ7NSpU5rLxsfH08TEhJGRkdlKU1uJiYns2bMnq1evzpMnT9LOzo5bt27Nk7QL\nBC27gj08fJgDBw6khYUFO3fuzAsXLnwx9UjLli01zpf84sULDhw4kNbW1vz111+ZkJCQh9GpUygU\ntLKyYmhoqM5iKKgWL16c5TuUH4uPj+e2bdtYv359SqVSjho1Su1CYt26dblnzx5aW1vzwoULrFev\nHr29vbl06VK2bduW5ubmnD17Nv38/LRLUIsynGxoyCldu3LEiBGcNGkSR40apbaJhg0b8ujRoxw6\ndCinTJmSYZKBgYHs1q0bpVIpZ8+ezZiYGDIoiMlFixaYO2ICGRsbSysrKwbl8G/y7NkzDhkyhJaW\nlhw7diyVeXhzQCaTsUGDBhw9enTKB/89mpVQpAiTJRKtL1DlpX79+rFTp05ZOqbevXs3T+cgFw1a\nQeciIiJobW3NB9kZ9OFLU4DnMdu+fTsrV65MuVyu9vmtW7dYqlQpDho0iImJiezbt2+Wnp0hmXJA\nGDSIcfr6KQcsExNGde7Mr8zN0xwIiiSPHDnCb775JmvpZZFSqeTs2bPp6OjI33//nXZ2dty8eXOe\nxpCvZWKwjqioKC5cuJClSpVi9erVuX79esbHx+sw+Ny3detWent7p/o8NjaW06dPp6WlJUeOHMk3\nb97oILrUOnfuzDVr1ug6jAIlKiqKUqk0x591fvToEcePH09bW1vWrVuXS5YsoYmJCadPn86uXbuS\nTDkBHzp0KF1cXOjg4MAePXrQz8+Pnp6e2ieUThlW6OkxTiJhd2trWllZ8c2bN3zw4AHt7OzUnvkd\nNmwYFyxYwDt37tDBwSHVceODx48fs3fv3rSysuJPP/2UqufC7Hr1mGRgkO/viAkpVq5cydatW+fa\n9kNDQzlo0CCtBy7L7s0BpVJJPz8/ent7p3qmferUqVpdrMlrmzZtYtmyZfn+/fssrR8XF8ciRYpo\n9Qx/ThANWkHn+vXrl6f97D8LWlz5lhcunK+u9H2gVCr57bffcvHixam+e/fuHb/77jt6eHhQKpVm\n7epseqMsSySUGRike+IybNgwzp49O/Pp5YAPd0WWLFlCe3t7btiwQSdx5EsfDTCmlEgYU6iQxqvY\nycnJPHz4MJs3b06pVMpx48bx6dOneRx03nj//j1NTU1VA3XI5XKuXr2a9vb27NSpEx8/fqzjCNVt\n3rw508/9funGjBnD/7F33mFNnV8cP4FEhsxAGCJbBAQXQ8GBG0GtigvFiVVw1oEDtVXrtkpR609Q\nUdSCW0RFhLq3VourLkQLTlyIgKwk9/v7g0pFCISQgZrP8+Qh3Pve95yb3Nz7nvc9Y9SoUTLrv7i4\nGPv370fTpk3B4XCgrq5eLm/Bxo0bwWKxsGbSJERrauI9UelEIcaOrfo5k5aGwlGjkP3xOB0dCMaM\ngY+dHYyNjWFnZ1dqqLq5ueGPP/4oPTQiIqL0/D08PHDo0KEyXT9+/BjBwcHgcrn46aef8O7du3Li\njx07BisrK+TfuiWRy7YS+cIwDBwdHUWGBkmT90OGgF/FKi2fxULOsGE1krN69Wo4OztXGCKyaNEi\nzJo1q0b9S5tbt27B0NCwxhNp9evXl9tzSGnQKlEoV69ehYmJSYUPISVVUMnqlVBdHQH6+hJlQZUH\nd+7cgaGhYYVxjwzDICQkBKqqqtWPqZYwYyHDMLCxscGNGzdqclo14sqVKzAzM8O0adNgZmaGTZs2\nKUyX2kphYSF0dHTw+vVrsdo/ePAAkydPBpfLRe/evXH8+PGvzh25b9++2LhxIxISEtCoUSN4eXnh\n8uXLilarQjIzM6Grq1thQjYl5fnnn3/A5XLlEh/er18/+Pr6okmTJrCyskLz5s3xv//9r/TZPMXB\nAXlUkj1fkhXOEydOQFVVtcy2sLAwsNlsdOzYsTRWctWqVRj2ifFw+vRptGrVCkBJIrSPMXnPnz/H\nhAkTwOVyERoaKtILoaioCPb29oiPj5fsg1Eid5KTk9GkSRP53KvFGDMUcThorqODcePGifTwqowj\nR47A1NRUZFK25cuXY/r06TU8EemRk5MDe3t7bNmypcZ9dejQAcnJyVLQqmqUBq0ShcEwDFq3bq10\nQasJn61e5bHZpTPO169fh7GxMeLi4hStZYXMnDmz1LXtc+bPn49BgwbB3NwcM2bMEOlmVg4JXbHv\n378PMzMzhRs7T548QbNmzdCnTx/Ur19f+duogJ49eyI2NrZax+Tm5iIiIgJOTk5o1KgR1q1bVxJb\n9xWwbNky6OvrlybVU/Q1XBWurq44ffq0otX4Ihg0aBDmz58vczkfJ4oMDAxw584dCIVC/PHHHxgw\nYAB0dXUR0rs3CqvKFFxFDOqKFSugq6tb+r9QKISLiws8PDwwY8YMNGzYEFFRUcjMzISenl5p5vvX\nr19DT08PDMMgLy8Penp6GDVqFPT19TF16tT/kvuIYNmyZejevXut/10o+Y9u3bohKipKfgITE1HE\nZoP/Wf1lgYpKSYmqxES8fPkSISEhpWWAxK3zfPv2bfB4vDJ5Qz4nLCwMkydPltbZiM+/oVnQ1i5J\nNKqtDWbsWPzQvTu+//57qYgICgqSKKGUJCgNWiUKIzY2Fi4uLnLzr//aefz4MYyMjMo8uD/WOv3c\nTas2kJubC3Nzc5w6darcPjc3N5w8eRKvX79G165d0bZtW/EKpEuYLCs8PByjR4+W1qnViNzcXPTq\n1Qvu7u4wMzNDZGSkolWqVURERIicCKkKhmFw4sQJ+Pn5gcvlYtKkSUhNTZWyhvLhn3/+QUBAAExM\nTKCuri7RyoEi+PHHHxEaGqpoNWo9ly9fRr169USWNKsxnwxmGRYLOSwWkhs0KGeUvnr1CtdatSq/\nMlvNnA0jRoyAjY1N6f+///47WrZsifT0dBgYGODYsWPg8Xg4e/YsfHx8yiQI/BhDPHPmTKipqaFl\ny5ZiPQ8yMjJkklhIiey4d+8eeDyeXPMfFBcXo4WBAbICAkrd0QVaWjhqbw83ff0yMdnPnz/HDz/8\nAH19fUyfPr20DGFFvH79GjY2Nti6dWul8tesWYPx8s53Uklsez6LhcKa1H3+hBUrVkgtU3VVKA1a\nJQohLy8P9evXr3TWSkn1YBgGRkZG5UobXL58GTweD0lJSQrSTDR79+6Fk5NTGRfE58+fQ09Pr3Sb\nUCjEwoULYWpqWnXtTAkzFnbp0gX7pXQDlwZCoRAzZsyApaUl6tWrh//973+KVqnWkJ6eDkNDwxqX\nnsnIyEBoaCh4PB58fHxw+PBhhZSzqS5ZWVkICQkBl8vFvHnzkJubi4CAgC/mGjl37hyaNm2qaDVq\nNQzDoG3btrJbpRIxmGXY7Irdh6WQVb9t27bw8vICUJJt2dzcHGfPngVQEkPYu3dvJCUlwdTUFOHh\n4ejWrRuAkuvdwsIC2traCA4ORmJiIiwsLMSaCO/bty/mzZsn2WekRCGMHz8ec+bMkavM/fv3i0wI\nmZqaiqFDh8LQ0BCLFi0qTZD05MkTjB07FlwuF7Nnzy7NY/CRoqIitG3bVqzJu4iICAQFBdX8RMRF\nwtAsSYiPj68wcaEsUBq0ShTCnDlzEBAQoGg1vjq6d++Offv2ldt+/vx5GBoa4tixYwrQSjQMw6Br\n165YsWJF6baoqCj4+/uXa3v8+HGYmppi4cKFog0PCQZeH+vdSprJT5ZERUXBwMAAxsbG+O233xSt\nTq2hUaNGUosTLSgoQHR0NFxcXGBra4tff/21Vsb0FxYWYuXKlTA0NMTo0aPLxFUePHhQ7hm6JYXP\n50NfX188j4tvlPj4eDg7O8vGe0mSwawUSpvY2NiU1iBfunRpmeRgBQUFsLW1RVJSEsLCwuDs7Awd\nHR3MmDEDBgYGcHBwKJMF1s3NDYlVxOwmJSXBxsbmq890/jXx7t076Onpyf3e0L179yrjRe/du4fB\ngweDx+NhyZIlpeOF9PR0jBo1Ci66urjs6grmX4+HfA4HidbWEIrhARQVFYWRI0dK5VzEQo5VMm7f\nvo2GDRtKQemqURq0SuTOw4cPYWBggCdPnihala+OefPmiZwRPH36NHg8XoUuvookNTW1zPXg5+cn\nsrbms2fP0LZtW/j4+FScGEiCG/WBAwfQqVMnmZybNDh58iQMDAxgaGgoeRmjr4yQkBCpxxYyDIML\nFy4gICAAenp6CA4OlnqpFEkQCoXYvn07rKys0KNHD9y+fbtcm8LCQnC53C/mntq/f39s3rxZ0WrU\nDj6LY2O0tRGjq4tTskoKJ8lgVsyJQqGWlkixOjo6WLlyJV69egUDA4Nyrv4HDx5Ew4YN8ebNG7i4\nuEBFRQXu7u548OAB1q5dW6b27YYNG9C7d2+RsgoLC2FnZ4eEhATJPyclcmflypVyX+h4+vQp9PX1\nxXbtv3PnDgYOHAgjIyMsW7asJBdDYiKEGhrlsiUzYiZM27JlC4YOHSqN0xEPKXhciEtBQQHU1NTE\nz4NSA5QGrRK54+fnh0WLFilaja+ShIQEdO7cWeT+48ePV5mgQBH8+OOPGDBggFhZbPl8PmbOnAkL\nCwtcuHCh7M60tJLSPJUNujQ0yqw+BAcHIywsTFanJhVSU1NhZWUFXV1drFy5UtHqKJxjx46hZcuW\nMuv/+fPn+Pnnn2Fqaor27dtj7969cnkgf86pU6fg5uYGV1dXnDx5stK2gYGB+PXXX+WjWA3ZvHkz\nBgwYoGg1FE8lJcYYWdVGlWQwK4YRXESE34gwYsSICkuTqKqq4tSpUxg/fnyFMXV5eXlwcHCAlpYW\n+vfvDxsbG5iZmQEoyZD8qQdCTk4O9PT0RGZ/XrRokUxrmCqRPnw+H5aWlnLP0L5o0aIykyXi8vff\nf2PAgAFoYWBQ5ZijKvfd2NhYDBw4sFry+Xw+srKykJ6ejps3b+LcuXNITEzEzp07sWHDBqxcuRJz\n587F5MmTMXLkSPTr1w/e3t7w8PCAUJzffxUeF9XB0tJSLnHsSoNWiVw5evQorK2tUVBQoGhVvko+\nZoisLKNjcnIyeDweLl26JEfNKufDhw+wsrLC0qVLS0s0VMWBAwdgZGSEVatWgWEYMAyDuXPnYpSZ\nWYnRWkE5o+I6dTDKzAyZmZkASlblzM3NcffuXVmenlR4+/YtPD09oampWTIhVEGGQrFqQn4FVLd8\nj6QUFRVh586daN26NerXr4/FixdXmgREWty+fRs9evSAlZUVtm/fLlZsb3JyMlq0aCFz3aTB8+fP\noa+vr5BJglqDHOPYyiCm+7CQCJs3b8atW7cguH+/Sl0ZTU0EtGwJIoKamhqWLVuGwtu3gbFjwWhr\nQ0gEQd262KSmhqwrV0rVKSgowOrVq2Fqagpvb2/o6uri2bNnePLkCVRUVPDbb78hMzMTXC63zHNt\n9OjRWLx4cbnT++eff2BgYCCyRIqS2sm+ffvg6ekpV5lCoRDW1ta48sn1WF3e+PtXWcdWoKIC/r9G\nc2FhIV69eoW0tDSkpKTg1KlTmDFjBtzd3bFu3TosW7YMs2fPxoQJEzBs2DD07t0bHTt2hJubGxo2\nbAgTExNoampCRUUFenp6sLCwgLOzM1q1agUfHx8MGDAAo0aNwtSpUzF//nz8+uuviIqKwu7du5GU\nlISLFy9CULeu3FZoAaBTp044cuSIVPqqDKVBq0R2VOBKtV1fH8nr1ilas68ac3NzPHjwoNI2CQkJ\nMDIywtWrV+WkVdUcPHgQenp6WLBggdjHPHr0CK6urujbty/Gjh2Lpk2blpRx+KScEVRUSv7+W85o\n3rx5aNq0Kd69e4dbt27BysrqiynpUFRUhIEDB+I7NhtFHE6FRrs4Lk5fA5KU76kJKSkpGDlyJPT0\n9DB8+PAaDYJE8fz5c4wePRo8Hg9hYWEoLCwU+1g+nw8ej4eHDx9KXS9Z0LRp01rnKSJX5BjHVgYx\nV2jfs1ho3LgxLC0toa2tjenOzihis6usQxsbG4s6deqgh6oq8oggUFUtN7iHpiaKDxxAREQE6tev\nj++++w4pKSkAgNDQUAwZMgRASdkiDQ0NpKSkgMvllinRc+XKFVhZWZWb7OnduzcWLlwo3c9Miczx\n8vLCzp075Srz2LFjaNq0ac2e/2L+nrKJoKqqClVVVRgYGMDa2hpNmzZF27Zt4erqCjMzMwQHB2P6\n9OlYtGgR1qxZgy1btiAuLg7Hjh3Dn3/+iXv37uH58+fIy8urmc5yvveMGTMGa9askUpflaE0aJXI\nBkW4UikBAPTp06dMyQNRxMfHw9jYGNevX5eDVlXDMAw0NDQwceLEah334cMHODo6Ql1dHWfOnBFL\nzqRJk9CqVSssXLgQ48aNk1RlhcA8eFBizMp7ZaeWUZPyPTXhzZs3WL58OSwtLeHh4YGYmBgUFRWJ\nPkCMlfTc3FzMmzcPXC4XISEhyMrKkki3MWPGYOnSpRIdK29CQ0Px448/KloNxSHmQDiPzUafPn0w\ndOhQjB07FtOmTcP8+fOxYsUKREREYNu2bYiLi0NycjLOnTuH69ev48GDB3jx4gVycnLKr+6LMZhl\nOBy86NsXkydPhqmpKZydnfH9999j6ahR2KShgff/ruDmsdm47O6Ok1FRZTwXHp88iQ9VrFp9YLEQ\n6OVVzsU0NzcXZmZmOHv2LP78808YGxvDwsICLVu2xIkTJ0rbMQyD5s2bIzk5uXTb4cOH0aBBg+p5\ngH3Dni61hZSUFNSvX79MtQN5MGjQoJobWmJ6PDAsFnx9fWFubo7IyMgyz4xDhw6VZvWWC3L2DgkL\nC6v2uE4SlAatEumjKFcqJQCAJUuWYOrUqWK13bNnD0xMTGpF8pvbt2+jXr164HK5SE9PF+uY4uJi\n+Pv7o2PHjti8eTN4PB6ioqKqnL0UCoUYMWIE9PX1a1W5HrFQ1MpOLUNa5XskRSAQID4+Hp06dYKJ\niQl++umn8tk5RUzsfVzVEhw6hMjISJiamiIgIACPHj2qkU6nTp36YkrinD59Gq6uropWQ3FUYyC8\nZ88eREdHY+3atVi+fDl++uknTJ06FUFBQRg8eDB69eqFzp07w9PTE40bN4aNjQ2MjIxQt25dsFgs\naGhowNDQEFZWVvCxs0O+ikqlMovr1MGeZcuwa9cuHDx4EOHh4fDz84Oenh7MzMzQunVrXL58GXFx\ncZg1axY6deoEXV1dWFtbY8CAAUjx9ITws5XZz19CNlvkPWrHjh1o1qwZ+Hw+GjZsiMDAQJiYmJRL\nirdu3Tr069cPQInrso2NTfVcG6v4fSon3uXD8OHD5T4R9+bNG+jq6pYrt1NdmGrGpF+6dAldu3aF\nlZUVNm3ahOLiYiQlJaFLly7SOC3xSUwEo6lZpceFNDh48CB8fX2l1p8oWABASpRIk3HjiKKiiPh8\n0W04HKKgIKK1a+Wn1zfCsWPHaMGCBXTmzBmx2m/fvp2mTZtGJ06cIAcHBxlrJ5oVK1ZQeno6mZiY\nUEpKCu3fv7/S9oWFhdS/f39isVi0e/duUldXp7t371K/fv3I3d2d1q1bR5qamiKPf/v2LZmYmFD3\n7t1p7969xGazpX1KskFHhyg3V7x279/LXh8F4uTkRNHR0dSiRQuF6nHnzh363//+R9u3bydvb2+a\nOHEitTYxIVbTpkT5+SKPy2exaHSLFjRl7Vpyc3OrsR5CoZAsLCzo+PHjCv0tiwOfzycej0epqalk\nZGSkaHXkj5x+xwzDUEFBAeXl5dGHDx/ow4cPxD56lBrOnk0sgYBUhMLStkIVFRKqqFCUjw/9aWBA\nHz58KHNcbm4uvXz5knJzcwkAsVgsUldXJz09PdLW1iY2m01CoZCupKaSthhDS2HdupRx8ybp6OiQ\nrq4ucTgcIiICQB06dCB/f3968+YNvXz5ks6cOUMCgYBu375NLBaLiIjev39PlpaWdP/+fVq/fj3d\nuHGD9u3bJ94H8/AhUZMmlf4+SVOT6OZNIltb8fpUUm1evnxJDg4OlJaWRgYGBnKTu2bNGrp8+TLF\nxsbWqJ+/PDyoyeXLxKmsUQXj3XPnztG8efMoIyOD+vXrR5cuXaJTp07VSJfqcnrzZnoZGkoDioqI\n8vKItLSIhg4lmjJFqtf8vXv36LvvvqMHDx5Irc8KkbnJrOTbQ44pwZWUJysrC1paWtWqYbhlyxaY\nmZmVK6UgT7y8vHD48GEUFBSgQYMGOHz4sMi2ubm56NixI/z9/cu5KeXl5WHo0KFwdnbGvXv3RPax\nZ88eeHt7o0uXLhgxYoTCVvqqjRRqQn4tyKJ8T03Izs7G6tWrYWdnh10GBuXiB8utUqmqgpGyy/uk\nSZNq1WdSGX369MG2bdsUrYZiULSnRSV5Birjw4cP0NTUxOvXr7F9+3b06NED2tra6NChAxYtWoTE\nxEQw1Ug8Va9ePejr60NVVRUaGhowMTFBw4YN4eTkBA6Hg44dO0JdXR3du3cHh8NB7969sWnTJuzZ\nswd//PEHvvvuO3z//ffQ19fHvXv3xI8tVPTnrwQAMH/+fAQFBclVJsMwaNy4MY4fP16jfvbt24fW\nJiYlSSgl9Eg8efIkmjRpAg0NDezYsUOu45C+ffsiMjJS5nKKioqgpqYmc5dypUGrRPooB9wKp0GD\nBvj777+rdUxUVBTMzc0VklTm7du30NbWRn5+PgDgyJEjsLGxqTAWKisrCx4eHhg1apRIo51hGGzY\nsAE8Hg+7du2qsE1gYCDWrFmDvLw8eHp6YtKkSV9GcijlhFEpsi7fIylCoRD8qsIuZPQ9Xbx4EQ4O\nDl/EtbxhwwYMGjRI0Woohi84NMfNzQ1nz54t/T87Oxtbt26Fj48PdHV18YHNFuvaz1VVhaGhIQYP\nHoy0tDTk5eXh2bNnuHPnDi5evIiePXuiS5cusLW1hb+/PzQ0NKCpqQlvb2/4+fmhY8eOcHBwAIvF\nQt26daGmpgY2m12adKdZs2Zo164devbsiSFDhmD8+PGYPXs2li9fjiJ1deV9VMEUFhbCxMSkwtra\nsuTPP/+EjY1NjYzHlJQUGBoaliTWrKHr+vnz5+Hg4ICWLVvCyckJe/fulblh+/LlS+jq6iI7O1um\ncj5ibW0t8wUTpUGrRPooB9wKZ+DAgdiyZUu1j4uIiIClpaXYMazSYvv27fjuu+/KbOvTp0+5laaX\nL1+iadOmmDJlilgD9pSUFNja2mLChAllMsYKhUKYmJiUZoPOyspCkyZNvoyVLeXKQinyKt8jEQqa\n2GMYBpaWlrUm2VtlPHnyBAYGBtXyJvmq+EJjOH/44Qf88ssvFe579eoVbnl5lY/N++zFsNk4am8P\nU1NT9OnTB/r6+hg3blyZ2rJZWVkwNjZGaGgo/P39oauri/j4eBgZGZUOjg8cOIA6deogKSkJwH9l\nUR48eICrV6/i+PHj2L9/P7Zs2YLVq1djwYIFmDZtGhhxfpvKiXeZsnXrVvnHjgIICgqqsOSTuDx/\n/hzm5ubYs2fPfxv/9XgoUlcvqfMqpscDUJKx28XFBQzD4PDhw3B1dUXTpk1x4MABmU1Mrly5EsOH\nD5dJ32X4N+lanqpqieeGDJOuKQ1aJdJn7NiShA/KAbfCCAsLw3gJP9/Vq1fDxsYGT548kbJWogkI\nCMD69evLbMvIyICBgUFpQe7Hjx/D3t4e8+bNq9ZNPjs7G35+fnB3dy811P/66y80bNiwTLvMzEzY\n2dmVSzxS60hLq5GL09eGvMv3iI0CJ/ZmzJiBWbNmSb1fWeDs7FyramLLHQldfxXJjh070Lt3b5H7\nY37+ucosx0INDSAtDRcuXICLiws8PDwwdOhQcLlchIaGlmb63rhxI9zd3aGjo4MWLVrgzJkzrNCM\nyQAAIABJREFUiIyMhIODA168eAFra2uMHz8e/v7+YunOMAwuXbqEgjp1lBPvCuRjluqEhAS5ys3L\ny4O+vj6ePn0q0fH5+flwd3cvqQVfAVu2bMHQoUOr1ef169fRuHHj0v8ZhkF8fDyaNGkCNze3Ejf+\nT8c8NczMzTAMHBwcynhZyAQ5T9gpDVolUufKzp34UNVD4hsacCuC06dPo0WLFhIfv3LlStjZ2ZXP\n2ioD+Hw+uFxuhQ+YpUuXolu3bnjw4AGsrKywcuVKiWQwDIOwsDAYGRkhISEBCxcuxOTJk8u1S09P\nh7m5OaKjoyWSIw/4fD6mOTl983VoP6Ko8j1VosCV9JSUFFhbW38RbsfTpk3DvHnzFK2GkmqQnp4O\nY2PjCq+vX3/9FVZWVni+aROgqQn+Z4ZtERHyiNBXUxNHjhwBwzAQCASIjIyEkZERRowYgaFDh8LQ\n0BBLlixBTk4O3Nzc0Lx5c3h5eZXG/I0bNw62trbo378/3r17B11d3TKlgz6FYRhcuXIF06dPh6Wl\nJezt7XHJ1RX8KrI9KyfeZceZM2dgZ2cn99wV0dHR6NGjh0THMgwDf39/BAQEiLy3xsTEVDuM4vbt\n23B0dCy3XSgUYs+ePWjUqBE8PT1x9OhRMIcP19hIPHfuHOzt7WX7fFBASIXSoFUiVU6ePAkej4e/\nFi36Il2pvhZyc3OhoaFReX3MKliyZAkcHByQmZkpRc3Kc/bsWTRv3rzCfUVFRbC2tgaXyy23gisJ\n586dg7m5OczMzESWd7h79y5MTEywb9++GsuTBXPmzIG3tzeEqangBwcjmwjMF7KyIwsUXb5HJAqM\nkWQYBg0bNixX47M2cvz48VoZB61ENMyDB4jW1IRQS6vMCtG6kBA0aNAAGRkZJQ3T0rBFSwsCLa3S\n1ee/PD3h7+aGDh06gM1mw9bWFvPnz8f9+/fx5s0bBAcHw8TEBIsXL0b//v1hamqKadOmoZm2Nn7X\n0UE+hwOwWBDUrYsIFgs//ms8DB8+vMyEJ8MwSElJQWhoKGxsbNCgQQPMmTMHN27cQHZ2NiZ264b8\nqsIClBPvMqNv37747bff5C63devWiI+Pl+jY+fPnw8PDo9I6x7t27UL//v2r1e/9+/fRoEEDkfsF\nAgG2b9+OTlZWVZbcEueaDQwMFBkyIDUUMKGrLNujRGocPXqUBg8eTLt27aIOHTqUpMUPDyd+dDSp\n5ueTio6OTFKCK6kYJycn+v3338nFxUXiPn7++Wfas2cPnTx5kng8nhS1+4/Q0FDicDi0cOHCcvuu\nXr1K3t7epKqqShkZGZWW4RGXe/fukbOzM7Vq1Yp27dpFpqam5dpcu3aNunbtSjExMeTt7V1jmdLi\n6NGjFBgYSCkpKWRkZER37twhPz8/un//vqJVUyi1pXxPOY4cIerXr6SE2adlzDicktfevUS+vjIR\nPXfuXPrw4QOFhYXJpH9pUVRUREZGRvTw4UMyNDRUtDpKquLfa5pfUECcT4aPAhUVKgaoYNs2Mhgy\nhIiIHj9+TO7u7pSZmVlaaqe4uJicnZ1p9erVdOXKFdq6dSt16tSJDh06RKampjRo0CBydHSkRYsW\nERHRhAkT6F54OM1KSSEOEdX5RBWhigoVAXRx6lRS9/OjkSNH0u7du2nPnj20e/duEggE5O/vTwMG\nDKBmzZoRi8WiGzduUP/+/alDhw60xteX1AYPLvf7FKqokKq6euW/z4cPicLCiGJi/it5MmQIUUiI\ncnxTBenp6eTq6koZGRmkpaUlN7n37t2jDh060OPHj0tLRJVDxPeaYG9PE8LD6fLly2RsbCxSRlxc\nHMXExFBcXJzYev3zzz/UoUMHSk9Pr7QdM2YMISqKVD8ptfU54HBIEBhI+b/8Qnw+v9zr3bt35O3t\nTbt37yZtbe0K20jjtWX/ftIUCKo+eSmWF/xCCi8qqe0kJibSiBEjKC4ujtq0aVOy0daWaO1aOt6j\nB4WHh1NycrJilfzGcHd3p6tXr9bIoJ07dy4VFxdTly5d6MSJE8TlcqWoYQkJCQm0adOmctvPnj1L\nffv2pejoaNq5cyctXryYFi9eXGN5KSkp1K1bN3JzcyM3NzeKjY2l9u3bl2nTvHlziouLIz8/Pzpw\n4AC1atWqxnJryosXL2j48OEUGxtbWrfz4cOH1KBBAwVrpnh8fX3pyJEjtc+g9fUtqWMZHk70+++E\n3Fz6wGKRVlCQzCf2Bg4cSN7e3rRixQpSUVGRmZyaoqamRu3bt6ejR4/SoEGDFK2Oksp4+LBkgiY/\nv1zdTTbDEJuINIODiTw9iWxt6ezZs9SmTZtSY5aIqE6dOvTrr7/SlClT6ObNm1RQUEDJycn0999/\n040bN2jHjh20bNkycnR0JCsrK1ozaRKdzckhtQrUUWUY0iQij7AwWpiRQenp6dS1a1caNmwYbd++\nnVxdXUtlA6BNmzZRaGgorVq1igYPHlzSySe/T8rLI6GmJm1jGBry11/EEVXLuaKJqtxcoqgooq1b\nZTpR9UXymZFowuHQQUdH0nr5ssRglBObNm2i4cOHizZmRXyvzMaN1FEgoBNr11ZqzBIRsdlsEohj\nyH0Ch8Mh/qcTniJQ2b6dqBJjloiIxedT/oYNZL5jB3E4nHKvvLw8UlVVpXnz5lW4X9yXurp6pfs1\n9u4V7+Tz8sRrJw5SW+tV8s0SHx8PHo+HixcvVrj/2LFj6NChg5y1UrJ27VqMGjWqxv0wDINp06bB\n1dUV7969k4Jm//Ho0SMYGRmVcxdNSkqCoaEhjh49CgB4+vQpDAwMcP/+/RrLHDx4cGkc1h9//FHq\n3laRy+qRI0dgZGSk8IyxAoEAHTp0KJeFOTw8HBMnTlSQVrWH2lq+53P4fD54PJ7cSmM1btxY9ok/\npEBERES1E6koUQDVdCMMDg5GeHh4uW4YhkHXrl0RHh4OhmHwww8/wMPDAzk5OQBKQk0OHTqEgIAA\nbORwqsyYXESESDYbswYMwB92duWS5Xy4eRPDhg2Dk5MT7ty5U+Vpenl5lc1g+ylfcLklhSAiMRDD\nZss1/KyoqAhGRkaixxBS+l4PHz4MHx+faumWmZkJHo9XdUMpZM5v0aIFDh8+XC39JEIBSRGVK7RK\nasS+ffto3LhxlJiYSG5ubhW2EXf2SYl0cXNzo6ioqBr3w2Kx6JdffqHJkyeTj48P/fHHH6SjoyMF\nDYkOHz5M3bp1K7OCFBcXR2PGjCmzMmpmZkazZ8+mCRMmUHJycpkZ/+ogFAopKSmJlixZQkREXbp0\noatXr5K/vz+dP3+etm3bRgYGBqXtfXx8aO3ateTr60unTp2ihg0b1uBsJefjyvSPP/5YZrtyhbaE\nNm3a0N27d+nNmze12m2VzWZT3759affu3RQaGipzef7+/rRz587/vGZqKT4+PjRv3jxiGKZWryZ/\n88TElHWdrwg+nwo2bqQ5derQ3r17qUePHhQaGkr4LLrt4z09LS2N1NXVKT8/nxo1akR9+/YlNrtk\naGpqakpDqKybcUXUIaLhDEPMnj3E/lRObi4J168niowkE2dnWrBgAT19+pQyMzOJw+EQm80uXVH6\n+J7NZtPAgQNp1apV1KFDh3L7WGFhYn0GFB5OtHZtFZp/5Xyyov85LIGASCAo2X/zpszdtBMSEsjB\nwUH0M1xK3yuHw6n2Cq3Yq7paWiWeAOK0q4CbN2/S8+fPqWvXrtXSTyKGDCnxWKjsM+VwSsIQpYQy\nhlaJxOzYsYOmTp1KR44coWbNmolsd/HiRZoyZQpdunRJjtopKSwsJC6XS2/fviUNDY0a9weAxo8f\nTzdv3qSkpCSpxL74+PjQ6NGjqW/fvkRE9Pvvv9OMGTPo8OHD5Vyl+Xw+ubi40Ny5c6l///4Sybt0\n6RKNHj2abt26Va7v2bNn0549e2jXrl3UsmXLMvs3b95MCxYsoDNnzpCFhYVEsiXl1KlTFBAQQH/9\n9Ve5eN9u3brRuHHjqEePHnLVqTbSq1cv8vf3p4CAAEWrUimnTp2iKVOm0LVr12QuKy0tjVq3bk3P\nnj0rNRJqK46OjhQTE0Ourq6KVkWJKFRUStZVqoAhIrV/B+mampplXhoaGqShoUGampr06NEjYrFY\n5OXlRRoaGnTq1CkqLCykwMBAUldXJyKikOnTSZzpSxBV2q5QVZXGtW5NT+rUIT6fTwKBoDTe7+P7\nj3+Lioro5cuXpKmpSQzDkEAgIKFQSAzD0HsiEms6V4qxgV8s48aJZ9QEBYlt/AMgoVBY5vXx+xH1\nEggEFBwcTF27diVfX98K97fr2ZPYFRje5ajiez158iQtWLCATp48Kdb5EBHl5OSQmZkZ5VZlrI4b\nR8zGjaRSmfFbyec5adIk0tXVpQULFoitm8Q8fEjUpEmFkxmlaGpKdTKjdj/hlNRatm3bRqGhoXT0\n6FFydnautK1yhVYxqKurk4ODA924cYM8PDxq3B+LxaK1a9dScHAw9ejRgw4fPkx169aVuL+8vDy6\ncOEC7d69m4iI1q1bR0uXLqUTJ06Qo6NjufYcDofWrVtHAQEB5OPjQ9ra2tWWmZiYSN26dauw7xUr\nVlDr1q3pu+++o59++okmTJhQuhI8cuRIev/+PXXp0oXOnj1bGsMqa169ekVDhgyhrVu3Vpi86uHD\nh2SrTEBCRCVxtImJibXeoG3bti29fPmSUlNTZb7i34DForUAka4uUUFBrU5c8zEOWmnQ1mLEXCFS\n0dGhvdu20dq1aykmJoaysrIoKyuL3r17V+a9lZUVxcTEUGpqKgkEAiouLqanT5/STz/9RFpaWmRg\nYEBjVFRIi2FqrHodIpqtoUEn+vSht2/fVvjKzs6md+/eUd26dUlXV5fq1KlDzZs3JwMDAzIwMCAu\nl0vaP/8snkBpxgZ+qYi5op+7bh05HTxYqUH68T0AUlFRIVVVVVJVVSU2m136XtQLAKWnp1N2djbF\nxcWV289ms6mDOMYsUZXfqyxjaJ8PGkR6kZFUaWpMDqckP8NnFBYWUmxsLF25cqVaukmMrS3R3r0k\n7NOHhIWFZb0sPk2KKM3nkNScl5V8M0RFRcHMzAx3794Vq/3nRaOVyI+goCCsWbNGqn0KhUIMHz4c\nnTp1Qn5+vsT9xMfHo1OnTgCAZcuWwdraWqzYwqFDh2L69OkSyXR1dcWpU6cqbfPw4UM0b94c/fv3\nx/v378vsmzt3Lpo1ayb1WOKKEAqF8Pb2xuzZsyvcLxAIoKamVmkJgW+JWlu+pwImTpyIBQsWyFbI\nv7Frgs/LPNTS0mnJyclo3bq1otVQUhnViKENCQnBwoULq+wyIiIC7dq1K62JWVRUhB49eqB37964\nceMGjtjYVBlDy4gTq0eEPDYb33//PWbMmIHly5cjKioK+/fvx5kzZ3D79m1kZmaiuLgYAPDkyRPo\n6+sjNzcXAPDPP/9g0qRJeC+mLGnGBn6xiBnzybBYSE9Px5MnT/D8+XO8fPkSb968wbt375Cbm4v8\n/HwUFRVBIBBIVDt1wYIFGDt2bOWNxIz5ZKr4Xi9cuAAPD49q6cfn86FSSdwrUFKKsVmzZtgzcqRE\nJTF37NiBzp07V0svaTDexwfX27Qp+T3IuLyg0qBVUi3WrVsHc3NzpKamin2MqKLRSmTPhg0bMGzY\nMKn3KxAIEBAQgK5du0psUI0aNQq//vorZs+eDQcHBzx9+lSs4zIzM2FoaIi///67WvJevHgBPT29\n0gFLZRQUFCA4OBgNGzbEjRs3Srd/TGDSunVr5OXlVUt+dVmyZAnatm0LPp9f4f5//vkH9evXl6kO\nXxqNGjX6Imqvnjt3Dk5OTrIT8AUmrikoKIC2tjaysrIUrYoSUVTjumrRokWVk4dAybOkSZMmZZIw\nFRQUwMPDAzo6OpjSsyeYqmSK+WJYrGqdrp+fH2bOnIkBAwaAy+Vi+vTpyB06VO71Nb9YFJAY6HOE\nQiEsLS3x119/Vd5QjMmaYiLsMDBAfHy8SMP6zz//hKura7V0ZBgGRCRyMlYgEKBnz54YOXJkidy0\ntJLrqxpGYqdOnbBz585q6VVTMjIywOVyS5O9yRqlQatEbFatWgUrKys8evSoWsdVVTRaiey4du2a\nzCYT+Hw++vXrhx49eqCoqKhaxwqFQpiammLYsGFo3rw5Xr16Va3jf/vttzKz+uKwZcsW9OvXr1py\nYmJiYGhoiM2bN5du+7hC7e3tjcLCwmr1Jy5nz56FsbExnjx5IrLNsWPH0K5dO5nI/1IJCQkplwm6\nNiIUClG/fn3cunVLNgIUUNReGnTr1g27du1StBpKKkNE1tpPV4jy8vKgqakptgfPiRMnYGlpifz8\nfAiFQoSFhcHQ0BD29vYICgoCc/hwhTKLiFBcpw6goSGW4fSeCP7+/ti5c2c575tPEQqFiI+PR+PG\njcHhcBAWFvZf+y9wskhh1IL70B9//IFmzZpV3VCM75XR1MQfERFo2rQpXFxccOjQoXJjkGvXrqFp\n06bV1pPNZoscR4WEhKB9+/bVHmd95NGjRzA0NJTZeEUUM2bMwOTJk+UmT2nQKhGLX375BTY2NkhP\nT6/2sY8ePYKlpaX0lVJSJcXFxdDU1JTZDFlxcTF69eoFPz8/sVY+P3L58mXo6uqiVatWErnv8vl8\nNGvWDDExMWIfM2DAgDKGqbh89DAYOXJk6QCNz+fDz88Pffv2FbmCKimvX7+Gubl5lan1169fj5Ej\nR0pV9pfOl1K+BwCmTp2KH3/8UTad14KVEUn47bffEBgYqGg1lFRFFStEx48fh6enZ7W67Nu3L2bM\nmAFvb294enri4cOHyMnJQcuWLTFp0iQwDx6UyhQSIVdVFTF6emioqgpBcHCVhlMREW56eWH9+vXo\n1q0btLW14ePjg8jISDx//hwA8OHDB0RERKBhw4Zwc3NDbGws7OzscO7cubLKimHUK0GtMP79/f2x\ndu1a8RqL+b0KhULs27cPjRs3hru7OxITE0sN21u3bknkfaOhoVGh19eGDRtgZ2eHt2/fVrvPj/z4\n44+YNGmSxMdLQl5eHgwMDORWog5QGrRKxGDRokVo2LBhpatFlfHkyRPUq1dPylopERcPDw+xXL8k\npbCwEN27d8eAAQPEMu6KiorQqFEjWFhY1Mht98KFCzA1NUV2dnaVbfl8PvT19UsHLtUlNzcXAQEB\naNKkSam7fWFhIbp06YLAwECpxW0KhUJ0795drBjhGTNmYPHixVKR+7VQWFgIHR0dvH79WtGqVMmf\nf/4JOzs7iWLCqkQK9QoVQVpaGkxNTWXzmSiRG/Pnz8eMGTOqdczGjRvBYrEwefLkMs+Rd+/eoXnz\n5pg1a1bpdTFw4EDUrVsXz549AxFhTJcuVRpOAnV1dLO3h7e3N9LS0pCTk4Pdu3cjICAAOjo6qF+/\nPurWrYuOHTvi9OnTpbJWrVqFgICA8gr/a9Rnf3RllmFs4BeNAo3/169fQ1dXt3phDNVw5xUKhdi9\nezcaNWoEDw8PJCcn486dO7C3t6+evLFj8f7jdfRv7WSkpeH48eOV184VAz6fDzMzM9y8eVPiPiQh\nIiICvXr1kqtMpUGrRCQMw2Du3LlwdHSU2BAAqlE0WolMmDBhAlasWCFTGQUFBfD29sbgwYMhEAhE\ntsvPz4evry/09PSQnJxcY7nff/+9WDOPZ86cgYuLS41kMQyDiIgI8Hi80nivvLw8eHp6YvLkyVIZ\nhK9cuRIeHh5irXb37dtX7jExXwI9e/ZEbGysotWoEoZhYGNjg5SUFKn3LdTSEsugLVRXl1t8k7g0\naNAA165dU7QaSmpAp06dcOjQIbHa5ufnY/z48bC0tMSwYcMwePDgcm1ev34NJyen0iRTYWFh0NXV\nxY0bNzBkyBAQETKjoys0nJhPDKfi4mIsX74cBgYGWLZsGW7evInRo0dDT08P3bp1w8CBA2FqagpH\nR0fMnj0bf/75J96+fQs9PT1kZmaW06u4uBiqqqrKCZiq+MRIZFgs5NepIxfjPzw8vMLrSdoIBALs\n2LEDDg4OcHV1FX9SrhJjX6ihgYG6ujhx4kSNdEtISJC71xLDMHB0dKyx7tVFadAqqRCGYRAaGorG\njRvj5cuXNerr4wNBiWLYunUr/P39ZS4nPz8fHTt2xIgRIypcsczJyUG7du3g5+cndnKmqnj9+jV4\nPB6uX79eabvQ0FCpuXdevXoV1tbW+OGHH1BUVISsrCw0adIEP//8c436vXjxIoyMjMR262/WrBmu\nXLlSI5lfI5GRkXIZxEiD0NBQzJw5U2r9vX//HnPmzEGUmhr4n2c3/uwlVFVFoo0NuFwufvjhhxqt\nAkiTiRMnYunSpYpWQ4mEFBcXQ0tLS6xVsRs3bsDJyQkDBw4szWhrZmaG8+fPl2v74sUL2NnZYeXK\nlUhKSoKpqSlWr14NoVAINTU1eJmZAYMHAxwOGCrJfFxIhIetWpUxnBiGQWxsLHg8HthsNkaNGlUm\nh4NQKMTly5cRGhoKBwcHmJmZwdHREYGBgeWeWe/evYOurm75E/t31Q3a2iXeEp+sun3rHDhwAN26\ndZO5HIZh4OzsjJMnT8pc1kcEAgHCw8PBZrPh5eVVuWecGO7YxXXq1Pia8fPzw4YNG2rUR3VJTk5G\nkyZN5D7RozRolZSDYRhMmTIFzZs3x5s3b2rcX05ODurWrSsFzZRIwp07d2BjYyMXWXl5efDy8sLo\n0aPLGLVv375FixYtEBQUhI0bN2LAgAFSkxkZGYnWrVtX6vbbpEkTXLhwQWoys7Ky0LNnT7Rs2RIZ\nGRnIzMyEnZ0dVq1aJXF/lpaWiI+PF6s9wzDKjLAiyMjI+GLK91y7dg1WVlY1fvAXFxfjf//7H4yN\njTFs2DA8O3NG7Ni1x48fY9asWeDxeOjatSsSEhIU+tklJibCy8tLYfKV1IzLly9XWaaPYRisXr0a\nhoaG2Lp1a5nr//fff4ebm1uF1+Djx49hbW2NRYsWQUdHB3369AEAHAsJQR4RBKqq5eJmC1RUSldn\nY2Nj4eLiAnt7e0RGRmLLli0wMTHB+PHjRSaJunv3LiZOnIg6depAT08PgwcPxp49e5Cbm4snT57A\nzMys7AHK+NpKuXv3LmxtbWXT+ScTCQyLhRwWC4ycJxKePn0KU1NTbN26Fba2tujQoQPOnDlTvqEc\nEmZ9rOwgby8cX19fbNq0Sa4yAaVBq+QzhEIhxo8fD3d3d6kNlvPz86GmpiaVvpRUH4FAAG1t7Rol\nFagOOTk5aNWqFcaNGweGYfDixQs0btwYISEhYBgGfn5+2LZtm9TkCQQCuLu7Izo6usL9T548gYGB\nQaWu0JLAMAx++eUXGBsbIzExEenp6TA3NxepR2X99O7du1pJG169egUul1tNjb8dvpTyPQzDoGHD\nhhLryjAM9u/fD3t7e3Tu3Lms+3I1B9YFBQXYsmULXF1dYWNjg7CwMIVMmHz48AFaWlpixcYrqX2s\nXLkS48aNE7k/MzMTvr6+cHd3x4MHD8rtFwqF8PDwwJYtWyo8/tGjRzA3N4eamhq4XC6EqalVTt4U\ncThoY2qK9u3b49ChQ+UmW7///nuYmZkhLi5OpN4eHh6Ijo5GREQEunbtCm1tbbRr1w4mJib/ebHV\ngiRItZ2ioiKoqalJnLFXJLVkIiEzMxNGRkYASiYaN2/eDGtra3Tu3LnU84BhGDBySNy3fPlyuSeO\nvHfvHoyMjCQu51gTlAatklKEQiFGjx4NT09PqQ4mxCkarUS2tGvXTioxq+KSnZ2NFi1aYOTIkeho\naYkr7u5g/p01fU+E/MBAqT7Ur1y5AmNj4woH4Bs2bKg4qYeUOHPmDOrXr485c+bg77//homJCfbt\n2yf28atXr4abm1u1HvAXL16Eu7u7JOp+E3wp5XsA4KeffsLUqVOrfdylS5fQtm1bODs748iRIxWv\n8kpQr5BhGFy8eBEBAQHQ09NDUFCQ3BOKdO3atVq/ISW1h169emHHjh0V7ktMTISpqSlmz55dacjJ\n5cuXUa9ePZErS/fv3weHw4G+vj7e+PuLVT/0Zf/+lep9+vRp2Nvbo1evXnj8+HG5/du2bUPXrl1L\n/8/OzsaiRYugr68PXV1dtGnTBimenmDYbJmuun0NNGjQAHfu3JFeh3KeSODz+Xj79i0ePnyIlJQU\nnDhxAvv370d0dDQWL14MDQ0NTJkyBYGBgfDz80OHDh1gYWEBNpsNDocDVVVVCMUxZknyxH0fJ0sr\nct+XJePHj8ecOXPkKvMjLAAgJd88QqGQRo0aRQ8fPqTDhw+Ttra21PoGQCoqKiQUCklFRUVq/SoR\nn2nTphGXy6XZs2fLTebVq1dpgacn7WIYUldVJRaf/99ODqfktXcvka+vVOSNHTuWWCwWrVu3rsx2\nPz8/6tevHw0ePFgqciri1atXFBAQQAzD0KxZs2jw4MEUExND3t7elR539epV6tatG126dIlsbGzE\nlhcbG0sJCQm0Y8eOmqr+VXL8+HGaM2cOXbp0SdGqVMnt27fJx8eHMjIyxLo/Pnr0iGbNmkXnz5+n\nBQsW0PDhw0lVVVUmumVmZtKGDRsoMjKS7O3tacKECdSrVy9is9kykfeRVatW0e3bt2njxo0ylaNE\nujAMQ0ZGRnTjxg0yMzMr3V5YWEgzZ86k/fv30++//07t2rWrsq8RI0aQqakpLV26tML9ffv2pUOH\nDtF7ItL49NkiAr6mJp2KjycWi1XupaKiQiwWi/h8PsXGxtK+ffsoMDCQ+vfvT2w2m1gsFhUXF9N3\n331H0dHRZGFhQSoqKnT16lWKjIyk9evX059//knDJk4kTYGg6g9KR4fo/fuq232l9OjRg0aPHk29\nevWSTofjxhFFRRFVdh1wOERBQYTffqOCggLKzs6m9+/fV+vvx/f5+fmko6NDenp6pKurS3p6eqXv\nNTQ0KDo6mpYuXVpun6amJiUmJtLq1avpfmamTK+Vs2fPUnBwMN2+fZtYLFa1j5eE7OzGcmCqAAAg\nAElEQVRssrGxob///pvq1asnF5mfojRolZBAIKDhw4dTZmYmHTx4kOrWrSt1GXXq1KHc3FxSU1OT\net9KqmbXrl20c+dO2r9/v1zk3bp1i4I7d6bT2dnEKS4W3VBTk+jmTSJb2xrLzMrKokaNGtHhw4fJ\n1dWViIiKiorIyMiIHj58SIaGhjWWURlCoZAWLFhAmzZtopkzZ9KCBQvowIED1KpVqwrbv3//nlxc\nXGj58uXUr1+/aslasGABFRcX06JFi6Sh+leHPL93aeDs7Ezr16+n1q1bi2zz9u1bWrRoEf3+++80\nefJkmjJlikzu1RVRXFxM+/fvp99++40eP35MY8eOpVGjRhGPx5OJvPv371Pnzp3p8ePHchuMKZGQ\nhw+JwsKIYmIIeXmUR0TaY8YQhYQQ2drS7du3adCgQWRvb0/r168nLpcrVrcvXrygxo0b0+XLl8n2\nk+dDbm4upaam0urVq+n48eP05PlzEmeanCEi706dCCWeiWVeDMOU+T8/P58ePXpEDMOQpaUlaWho\nEAB6+vQpAaB69eoRAMrOzqasrCyysLAgAPT33bti6UIqKkRCoVifw9dISEgIGRsb04wZM6TToY4O\nUW5ulc1yWCwyZLNJVVW1nLFZ2d/Pt2lpaYmcfMzPzydDQ0PKz88XqUdRURGldulC9mfPUp1K9C0m\norQOHcguOZk4HE6V5/cpw4cPp6ZNm9LUqVOrdVxNCAsLo5SUFIqNjZWbzDLIfU1YSa2iuLgY/fv3\nh7e3N/Lz82UmR1NTE7m5uTLrX0nlpKWloX79+nKRdfnyZRgbGyO1SxeZJz34nM2bN8OvSRMwY8aU\nJobIU1WVa4bJpKQkGBsbIzAw8L8MzJ9lvWS0tZFka4u5EmbjHTp0KDZv3ixlzb8uvpTyPQCwYMEC\nTJw4scJ9BQUF+OWXX2BoaIixY8dWWD5EnqSkpGDkyJHQ09PD8OHDZZJpm2EYWFtb49atW1LvW4kU\nqSRukdHUxKFx42BoaIhNmzZVK/EZn89Hamoqhg0bBmdnZwQHB6N9+/YwNTWFpqYmmjZtCi8vL9Sr\nVw/vxXTdLKhmHg+hUIioqCjweDxMmzYNeXl5ePToEQwMDPDhwwcAwPbt28tWEJBDXOTXQGRkpHRj\nO8Wsu82wWCgsLJSe3AooKioCh8OpumFaGhgxaicP9vCAjY0NtmzZUqY+c2VkZ2dDT0+vTPZuWSMQ\nCGBlZaXQ3BVKg/YbpqioCL1790b37t1lHsBd7eLWSqQKwzDQ19fHixcvZCrn1KlT4PF4OHjwoEIe\n7sKEBOSrqJTLdinvxBCPHz+Gp6cnXFxcMEhPD0INjXKDvmKikgeaBDq1atUKp0+floHmXw9fUvme\n+/fvw8TEpEziMqFQiJiYGFhaWqJXr164e/euAjUsz5s3b7B8+XJYWlrCw8MDsbGxUk30MnbsWJnX\nz1ZSA8SIW8xXUcGjo0crPJxhGGRmZuLMmTPYuHEjpk+fjp49e8Le3h5qamqwsrJCly5doKOjgwkT\nJuDo0aPIyMgoTej07NkzGBoaYpu2dvn7/ecxtCwWYvT0JMom/vLlSwQEBMDKygpHjhxB9+7dSycT\nN2zYgFGjRv3XeOzYkrq3yhjaSjl58iTatGkjvQ5r0USCUCgEi8USq21BXFzJeOWzEmtCNrvMeOXk\nyZNo27Yt7OzsEBMTU2WCy4iICPTr16/G51Id4uLi4OHhIVeZn6M0aL9RCgoK0L17d/j5+Uk/21wF\nGBoa1rierZKa0aVLF7GL3UtCYmIieDwejh8/XrJBzFlTSZMelKOWZZgsLi7GosBAfKjq/CXQydjY\nGE+fPpWR5l8HX1L5HqCkrvDHmoknTpyAq6srWrRoUesnLgQCAfbv349OnTrBxMQEc+fOxbNnz2rc\n78GDB9GxY0cpaKhEJohRdoThcFAcFITr169j165dWLhwIYYMGYIWLVpAV1cXXC4Xnp6eGD58OJYs\nWYJ9+/bh1q1bZSbY4+Li4OTkVG51imEY6Onp4Yfu3UvqdVaixwcWC+3q18dff/0l8ekmJSXB2toa\nXl5eaNq0KQDg119/xeTJk0vb8O/dKykTVEueQbWVZ8+egcfjSa/DsWNrVTIuFotV5XNHKBSid+/e\nmN6nD5hx4wAdnZIVZDU1bNLQwA/du5dJnMUwDI4dOwZPT084ODhg586dImW4uroiKSlJqudUFe3a\ntcPOnTvlKvNzlAbtN0h+fj68vb3Rv3//SjMNShMTExOpDHKUSM7s2bMxd+5cmfS9Z88eGBkZ4eLF\ni/9tFHPWVCCtGsVyqOsmiU7CKlYPqqtTbm4uNDQ0vhhDTZF8KeV7AGDp0qUYMGAAunfvDmtra+zc\nuVPuhelryu3btzFu3Djo6+vD398f586dk/gccnNzoaWlJfcaikrERMz7ezYRnJyc4Ofnh9DQUERH\nR+P8+fNi17hnGAYdO3bE2rVry+1r3bo1pk+fjiVt2wKamuVWuor+9YIZYmCAsWPHIiQkpEan/OHD\nB0yfPh0qKiqYPXs25s+fjx9//LFUz3HjxmGOiwsYTU0UV3SfV9ahBVDyWWlpaUnNa0+YmoqCqp6z\ncpxI4HA4Vbo2z5gxA15eXhUuKOXm5mLZsmXg8XgICAjAvXv3SvcxDIOkpCS0aNECTk5O2Lt3b5mx\nwLVr12BhYSH1MoWVce3aNdSvX19u9oQolAbtN0ZeXh46duyIwYMHi+2PLw3Mzc2Rnp4uN3lKyhMX\nF4du3bpJvd/o6GiYmpri2rVrZXeIYWAKVFSwWVMTXbt2xdGjR2s2gK9Fbkey1OnGjRto1KiRDJX+\nevhSyvc8f/4c/v7+YLFYWLFihczjvGRNdnY2Vq1aBTs7OzRv3hybNm2SKEdDp06dcODAARloqKTG\niBu3KAUPnJs3b4LH45UzgoODgzFv3jwYGxuDefAA19u0QY6KCgREyK9TB78RoaOlJYYNG4a5c+ei\nXr16UhnoLxwxApvU1JDDYoEhArS1caN1a3Rt0ADZ2dkQpqZiPYcDoba22OWyvjVcXFxw6dIlqfS1\ndOlSTHV0LAnhUXAdWqAkZ0xeXp7I/Zs2bYKtrS1ev35daT85OTlYvHgxDA0NMXToUKSmppbuYxgG\nCQkJ6OnsjJ0GBijW0ADDYiGfw8FlNze5XmsjRozAkiVL5CZPFMoaKt8Qubm55OvrSxYWFrR161aZ\nl174FA6HQ3wxUusrkR3u7u505coVAiC1PteuXUtz586lEydOULNmzcruDAkpSZVfCarq6hRw5QoN\nGDCAfvjhB3J1daXt27eTQJx09p+BvDzxGorbThrIQKeHDx+WyfqpRDS+vr505MgRRashkry8PJo/\nfz45OzuTubk5NW/enJo0afLFZ4PX1dWlSZMm0b1792jJkiW0b98+srCwoJkzZ1JGRobY/dT27++b\nRktLrGYsMdtVRuPGjal///40f/78MtudnJzoxYsXpKamRvcFAtrUvDlNGDKE6hkZkamGBh3r1YtO\nZGSQpaUl3blzh4yNjen06dM1U+bIEZqzaxcNKSoibYBYRES5ueRw/jwlPntGuhcuUBpAS+rVI5Wc\nnJJsxu/fE61dK5Vs/l8L9vb2lJqaWuN+zp49S6tWraLJycnEunmTKCioJOuxikrJ36CgkkoKUioP\nKA5sNlvkGObUqVM0a9YsSkhIqDIDv7a2Ns2ePZvS0tLIzs6OPD09KTAwkB49ekQsFou6q6hQ/KNH\n1D87mzgFBcQCSIPPJ/fr14maNCGSw73z1atXFB8fT0FBQTKXVSWKtqiVyIfs7Gx4enoiKChIIa6K\n9vb20i2kraTaMAwDY2NjZGRkSKW/JUuWwNbWFv/884/oRiKyYDJsNj4Q4f6qVaVNhUIhDh06hHbt\n2sHS0hLh4eGVZsYWCAQ4f/48Zs6cCUdHR+SIG7P7ha/QrlixokzclhLRFBYWQkdHp8qZcHnD5/Ox\nfv16mJqaIiAgoPQ3FBYWJt3sn7WIBw8eYMqUKeByuejduzeOHTtWpUfG33//DUtLyy/O9fqbQM4h\nHm/evAGPxyuT+fr48eNo06YNhg4disjISPj6+mL+/PmwtLREv379YGFhAVVVVTRSU0OUmhoK1dRK\nV1QlynwvZp6Gg+Hh6NOnj1TO+2tl/vz5mDNnTo36ePnyJerXr4/EWubGzeVyK3SpT01NhZGREY4d\nOyZRv+/evcO8efNgYGCA0P79S5JNVuYdIQc3659//hmjR4+WqQxxURq03wBZWVlwd3fHhAkTFDYw\ncHZ2xo0bNxQiW8l/9OjRA3v37q1RHwzDIDQ0FI0aNRIvLjotrWRQo6NTxv3q8Jo1sLGxwfv378sd\ncvnyZfTr1w8GBgaYNWtWaXbm3NxcxMXFYcSIEeDxeGjcuDHmzJmDS5culZTqqWKAxWexUPD99zU6\n/2ohg6yXY8aMqTCeTEnF1KbyPQzD4NChQ3B0dET79u3Llbx5/PgxuFyuXBL1KYq8vDxERkbCyckJ\njRo1wrp160ROXDEPHmBr3bolcfYsluSGiBLpo4AkfGvWrEGnTp1KxzGZmZnQ19dHVFQUBg4ciAYN\nGmD79u0wNTXFsmXLEB4eDn8dHeT9G09bY1dUMYx4PouFU87OWLx4sdTO+2tk+/btNcrEKxQK4e3t\njdDQUClqJR2MjIzKVZR4+/YtGjZsiA0bNtS4/7dv3+KSq2v5a/qzVzERHvfsKbNxf1FREUxMTGpN\neTWlQfuV8/r1azRr1gxTp05V6Cx38+bNcfXqVYXJV1LCzz//jJkzZ0p8vFAoxPjx4+Hq6iqVVa/g\n4GAMHDhQ5LWZlpaG4cOHQ1NTE/Xr10fdunXRuXNnrFmzpvzKsBgDrEI2G62MjREfH19j3cUiLU3q\nySq6dOmCI0eOyFDpr4vaUr7n6tWraN++PRwdHXHo0CGR13zr1q2RkJAgZ+3kD8MwOHnyJPr06QMu\nl4tJkyaViRH76N3B/9zzQplcp/ZQSR1aWXxHxcXFaNSoUen9m2EYGBgY4MKFCzA1NQWHw0FKSgoM\nDQ1LDMq0NBRVNaFYyf2XYRi8fv0af/31f/buOyyq4+sD+FmqIiC9NwUCREFjQ1TEgkZExF6xREMU\nxdcSjYmYn1iixq6xaxSNvZeoEXs0RY3G2KICEURssdO3fd8/0I0IbIGF3YXzeR4eXfbeuWfZuXNn\n5s6duYS9e/ciz9hYqRE3L4kwYcIEHlkgx6VLlxAQEFDq/adPn47g4OAKnQtGWU5OTkhPT5e9zs/P\nR+vWrTFu3Dj1HUTJ0V+v9fQQHBwsm0FfnX744Qe0bdtW7emWFjdoK7HHjx/D398fX375pcYL1iZN\nmqhtAgBWeocOHSp1ASQSiTBw4EC0aNECL1++VEs8OTk5qFu3LtauXSv7nVQqxeXLlxEfH4+GDRvC\nysoKPXr0QM+ePWFjY4OIiAj8/PPPxedpJSpYZ86cgbe3N3r16oVHjx6p5XOUZM2aNYgwMChYVuK9\nmN5fa05ZtWvXLlzxZ3Jpevmeu3fvol+/fnB0dMSqVasUVsCWLFmCAQMGVFB02iEtLQ1fffUVbG1t\n0aFDB5xau7ZguFwF3v1jpVTCCJzy+m4SExNRu3Zt2cRpLVu2RGJiIhwcHODk5IS0tDSYmZlh2rRp\nyi0tZGCA9MhIrF+/HlOnTsXQoUPRrl07+Pj4oHr16rCyskK9evUQGBgIiRINCBBBQgUzO7dr1w7J\nnEeL9fr161LP1n/y5Ek4ODho7dJ17u7usg53qVSKoUOHIiIiQr0zD6swKdvGjRvh6emJ1q1b4+ef\nf1bL4aVSKRo1alSuS0Gqihu0ldSDBw/g5+eH//3vfxpvzAJAs2bNcPbsWU2HUeU9fvwYNWvWVPki\nkpeXh27duqF9+/bIzs5Wa0w3btyAtbU1Vq5ciZiYGLi4uMDT0xPjxo3D6dOnCzUAcnJysGLFCnh5\neSEwMBA7d+4sepFQooKVk5ODiRMnws7ODhs3biyXc+Tvv/+GsbExOnbsCGlSUqGYco2NccbfX+VK\nn1AohLGxcaUekloeNLF8z/PnzzF+/HhYWVlhypQpcp8Hf9eDBw9gYWFRaC3OqiI3NxcJCQnYbmur\ncDhdhS/BxbRG586dMXv2bABATEwMFi1ahNatW8PPzw8vXryAsbExpkyZovRdrEx9fQwcOBCTJ0/G\n6tWr8dNPP+HChQtYv349evXqhZo1a6JZs2bIUjTa5s3PKyI8efIEc+bMgbW1NWbNmqXxJU200dsO\nCFU8evQITk5OOHr0aDlFVQbJyUBMTMHs128ekbgcFIRwX1+ly3+lqTg/h1AoxLp16+Dh4YHQ0FD8\n+uuvZTr8uXPn4OXlpVXLB3KDthJKT0+Ht7c3ZsyYoelQZEJCQnDy5ElNh8EAuLm5qXSHLzs7Gx9/\n/DG6du2q1uVE/v33XyQkJKBbt26oXr06TExMMGPGDNy8eVNhA1MsFmP37t1o2rQpPD09sWzZslI1\ntP/44w/Uq1cPYWFhapssCyhoMLu4uMDBwaHYC1lqaiqsra1VXsokOTkZHh4e6gqzyqjI5Xvy8vKw\nYMEC2NraIjo6Gg8ePFA5jVatWmHv3r3lEJ1ukGrjElxMayQlJcHa2hoPHjzA0qVLER0djb59+8Lb\n2xtisRgCgaBgwiFlJwp8s7TQo0ePsHr1aoSFhcHMzAxhYWFYvXo1Nm7ciNq1a2OjqanCjhaxnh7W\n16gBS0tLjBo1CidPnkSHDh3g7+9feJ12htatWyMxMVHp7cViMdq0aSNb+1erlDA6LJ+oYPImdT8i\nUcpJ2fLz87F69Wq4ubmhQ4cOpe7o7dmzJxYvXqyOT6I2vGxPJZOWlkatWrWi6OhoiouL03Q4Mrxs\nj/Z4u3yPMl6/fk0dOnQgOzs72rFjR5mWEwFAt27dojlz5lBwcDB5enrSgQMHKCIiglJTUykyMpLS\n09PJz8+PBAKB3LT09fWpW7du9Ntvv9GGDRsoMTGRatWqRfHx8fTvv/8qHVPDhg3p4sWL1Lx5c2rY\nsCEtX76cpFJpqT/jWwMGDKB///2XEhMTybSYZSvc3d2pSZMmtHPnTpXSTU5O5iV7SqEiln8BQNu3\nbyc/Pz86efIknTp1ilavXk2Ojo4qp9W7d2/avn17OUSpGwTauAQX0xpeXl40dOhQmjRpEtWpU4du\n3LhBhoaG9OTJE9LT0yNDQ0PKzc1VemmhfCMjatGiBfn4+NCJEydo0KBBdP/+fVq8eDHt27ePpk6d\nSsbGxvRbs2ZkaGIiNy2Jnh5lf/YZXbt2jUxNTalXr15kaGhIkZGR1LVrVxo5ciS9evXqvx1SUohG\njCi81MyIEQW/r+Q++OADun37ttLbT58+naRSaZHlmzQuJYWoRw+inByi9+q5RkSkl5tb8L46v1Ml\nlkUkQ0OisWMLx2NkRNHR0XTnzh3q3LkzdevWjSIiIujy5ctKHzo9PZ1OnDhBn3zySWkiLz+ablEz\n9UlJSYGHhwcWvbMUirYICwurEhOd6IJZs2Zh7NixCrd7+vQpGjVqhJiYmFIPKxGJRDh9+jTGjRsH\nb29vODs7IyYmBocPHy4ypPLVq1fw9PTEjh07SnWsW7duITo6GpaWloiJiUFSUpJK+9+8eRNBQUFo\n0aIFbt26VaoYAGDdunUwNDTEihUr5G63b98+NGvWTKW0ly1bhs8++6zUsVVV5b18z88//4wmTZqg\nQYMGahmJ8uTJE9SsWVPtw/t1Bt+hZQq8evUKTW1tkdapE169eW71FRFe9u+PgBo1EBMTo9RdrHwi\nnPDzw6FDh2QjkLKysjBp0iRYW1sjNjYWzs7OmDZtWsF1UME8DRMDAgpN2pednY2VK1fC19cXdevW\nRUhICJydnbF7925IDx2q0Em1tM2CBQswatQopbY9duwYHB0dSzXipdxV8BJWMmqYlC03NxdLliyB\no6MjunTpgitXrhTd6M1QapiZAQIBco2McDYgQOvmMOAGbSVx584duLq6Yvny5ZoOpVidO3eu0kPo\ntMnx48fRokULuds8ePAAderUwRdffKHy86WvXr3C9u3bERUVBSsrKzRo0ADx8fG4dOmSwrQuXrwI\nW1tb/PPPPyod812PHj1CXFwcbGxs0L17d5UmIxOLxViyZEmpn3u6ffs2jI2NERkZqXBbkUgEJycn\nlaa8HzduHL799luVYmIFymP5nlu3biEyMhLu7u7YtGmTWp8nateuXak7d3RZeno6jtSqxc/QMvkO\nH4bQyAjC94f86usjmwjzQ0OVmvk+R08P/QIDkZycDKlUim3btsHV1RX9+/fHokWLYGNjU7TuUsI8\nDdKkJNSsWRNPnjwpEq5EIsHhw4fRvn17WFlZoZGlpdpnwNc1P/74I9q3b69wuwcPHsDR0bHU67eW\nO012wL3Ji7nGxgWTlpVyUracnBwsWLAADg4O6NGjx3/1khIazdJSTmpZnrhBq0ve6yV5uyZf0k8/\nwdnZudBMsdqme/fuVbJypo1evHgBU1PTEmfcS01NhaenJ7755hulG7Opqan47rvv0K5dO9mzRytW\nrCg0db2yFixYgCZNmpR5Eo3MzEwsXrwYHh4eCA4Oxv79+5VucNy9exft2rXDRx99hMuXLyu1T25u\nLlxcXODs7Kz0s7Fff/210j3UABAZGVnmdYSrKnUu3/Po0SPExMTAxsYGc+bMKZcJnNauXYvu3bur\nPV1tJRKJsHDhQlhbW2NhbCzPcsxKpkRDNVdfHyfXrMHC9u2RTVSk4ZtPhCwiZKxdi/nz58PCwgKe\nnp4ICAjAqVOnMHbsWHh5eeH69etKh5WUlARXV1eF212/fh0nfH2rfKdNUlKSwjkhRCIRWrVqVTDJ\nl7ZS8Vnt8jBt2jS1PFuclZWFuXPnws7ODv8XHg5JtWo6Uw5zg1ZXlNBLIjEwQDYRjn/+uaYjlKt3\n797YsmWLpsNgb3h7exd7Z/DWrVtwdXVV+LC/RCLB+fPnMXnyZAQEBMDGxgaDBw/G7t27yzybn1Qq\nRXh4OL744osypfOWSCTC1q1b0aBBA/j6+mLNmjVKNUCkUikSEhJga2uLSZMmKdynV69eMDIyUmm4\nclpaGqysrJQeWlq3bl38+eefSqfP/qOO5Xuys7Mxffp0WFtbY8yYMXj69KkaIyzs2bNnMDc3x+vX\nr8vtGNri4sWLaNCgAVq3bv3f+VPBa5wyHaLkUOLdjo6YP38+0k6eRO7QoXj1plEhNTfHJoEAmwWC\nghlp3wxX/sHcHF38/REUFIT27dvj2bNnKoW1bds2dOnSRbmNeVg9RCIRjI2N5XYAT548GW3btlXv\nkjfqpgXf5f/+9z+1NvozMzNxKTBQpzpduEGrC5TojdSmXpLiREVFYcOGDZoOgwFAcjKOenkhv1q1\nQnf6bx48CEdHR6xbt67Y3bKzs3HgwAFER0fDwcEBfn5+mDhxIs6dO6f2i82///4LFxeXQs8ilZVU\nKsXJkycRFhYGBwcHfPPNN3j+/LnC/R4+fIju3bvDx8cH586dK3abhIQEGBgYlPi3kyc8PBzr169X\nuJ1UKoWJiUmVaOCUl9Iu3yMWi/H999/D2dkZvXv3RkpKSjlEV1THjh2xadOmCjmWJrx69QqjRo2C\ng4ND8ctnVfAap0xHlKIB8fjxY9jZ2RW8OHwY+YaGRSrrEgMDZBEh0sgIs2bNUrhm9PsmTJiA6dOn\nK7exFtzV0wa+vr4lPnZz9OhRODk5lft68WWmqWdo3zFp0iTl856ytKChrgpu0OoCLThZyuqTTz7R\n6iHRVcabux5iPb1i7/T//NVXhTZ/+PAh1qxZg86dO8PMzAytWrXC/PnzVVr2p7ROnz4NBweHcpkE\n4tq1axg0aBAsLS0xevRopKamKtxn165dcHR0RGxsbKFGZXJyMoyMjNCzZ89SxbJ//34EBQUp3O7B\ngwf/VchYqai6fI9UKsXhw4dRt25dBAcHq/Q8tjps2LABERERFXrMiiCVSrFz5044Ozvj008/VflO\nGKvilGwMSgUC2Yihe/fuwcXFBUhOhljBMEpJ9ero37QpGjdurNKQ49atW+OwEiMHxGJxQYeyDjUW\nyktJj9Hcv38fDg4OOHXqVMUHpSotuOk0ceJEzJo1S72J6linCy/bows2bSoyFXgRIhHRDz9UTDyl\nwMv2aIF3ppbXf29pGj2xmEyIqMXixXT78GGaOXMmNW3alPz8/Oj48ePUq1cvSk1NpVOnTtG4cePI\n29u73MMNCQmhYcOGUVRUFEkkErWmXbduXUpISKBr166RkZERNWjQgPr160d//vlnift0796dbty4\nQdnZ2eTv709Hjx4loVBIrVu3Jnt7e/qhlOdfx44dKT09na5duyZ3u5SUFF6yp4xUWb7nypUr1L59\nexo7dizNmDGDzpw5Q4GBgeUcYWGRkZF05swZevnyZYUetzzdvXuXOnXqRPHx8bRt2zZas2YNWVlZ\naTospkuUXI6HANpiaUk9PvqIvvnmGxIKhXQiPJwkeXlyd9MTi+mHBg3o008/pVatWtGMGTMU1l8A\n0OXLl6lhw4Zytzt69Ch99NFH9KOFBUn09eXHb2hINGCA/G10XHFL94jFYurbty+NHDmSWrVqpZnA\nVOHpSXmbNlEOEcHAoPB7hoZEJiZEu3YRleP1WywWk76i/KQqZc8zZbcrZ9yg1QWVYE0+btBqgfnz\nFXaMiHJy6HyfPvT48WOaMWMGPX78mLZt20b9+/fXSKVz8uTJJBaLafbs2eWSvrOzM82ZM4f++ecf\natCgAXXu3JlCQ0Pp6NGjBKDI9paWlrRu3TpavXo1DR8+nHx8fOjx48d0+vTpUq/Ra2BgQEOHDqVV\nq1bJ3Y4btGXXwtGRPr18maRmZiWu+Zienk6DBg2iDh06ULdu3ejatWsUGRmpcG3k8lCzZk1q06YN\n7du3r8KPrW4ikYhmz55NjRs3phYtWtDly5epRYsWmg6L6aKoKMVrcBKRgIiiBbMBnAAAACAASURB\nVALa/vffZHr2LD158oQa375NRop2FIlIsGkTffbZZ3Tp0iU6d+4cBQYG0pUrV0rcJSUlhczNzcnO\nzq7Y9992kI0aNYqmTp1KIfv3U76iNc+LWUe0svHx8aE7d+4U+t3XX39N1atXp0mTJmkoKtVt/Pdf\nGtu2LQmGDSu8pvBnnxFdvUoUFlaux5dIJGTwfmO6rKKiijbQ36dNnS6avkXMFJMqOY49y8AA8+fP\nx++//478/HxNh13ImDFjMH/+fE2HUbUpmY+kWjbEKT09Hfb29jh79my5Hys/Px8bNmyAv78//P39\nsWHDhhLPpTVr1kAgEMDCwgI7d+4s03Hv3buncHKor7/+WrtnetR2b4bbC98fRvVmkqGsnTvx5Zdf\nwsrKCnFxcXj16pWmIwYAbN26FR06dNB0GGVy7tw51KlTB2FhYRX2/DGrxJQZ4vneT46eHkJr1YJU\nheHKb8tjqVSK9evXw9bWFl9//fV/14R3Vp6QCgTINjAoeP3O0NJ79+5h4MCBsLe3x9KlSyEUCiEU\nCtGqVSus7d69ak98lpyMjC5dkKWvL5vPI7VjRzR3cCh26SNtJZVK4efnp5Y1yEsrNjYWS5YsUWua\nLy9dQo6i80WL5u/hBq0Wy8zMxDfffIPvjY0hUpCppAYGuN2uHUaMGIF69erB1NQUISEhiIuLw+HD\nh/HixQuNfpYJEyZg9uzZGo2hytOx5yHedfDgQbi5uVXYs3ZSqRRHjhxB27Zt4eLigrlz5xZq4Pzz\nzz8wMjJCv3798Msvv8DX1xddu3Yt0/O+nTp1kjupVL9+/bBx48ZSp1+lKVEBzibCxB49cP/+fU1H\nW0hmZibMzc3LdUbl8vLs2TNER0fD2dkZO3bsUHlNa8ZK9KaDSqJoLdc3PyKBANttbZXu2H0lEKB6\n9eoIDw9HQkICnj59ioyMDERERKBu3bq4vWiR3Mboux1kkyZNKnT9iImJQXh4eMFkilV14rM335/U\nwKDQ3y+fqOAZZx1qzB89ehQBAQEaLd+GDx+OZcuWqS29169fo2nTplgZGVmwhJoOdLpwg1YLvV3g\n2N7eHn379sU/x46p/MD5y5cv8dNPP2Hy5Mlo3bo1TE1N4e/vj5iYGGzatAmpqakVevJ99dVXmDFj\nRoUdjxVDyQu52NRU05EWa+zYsejSpUuFXzQuXbqEvn37wsrKChMmTMDdu3fh5uYGd3d32Vq5ubm5\nmDx5MmxtbbFu3bpSxXjw4EEEBgaW+H6TJk3wyy+/lPpzVGlKTKwnMTDQ2on1evbsidWrV2s6DKVJ\npVJs3LgRDg4OiI2NxcuXLzUdEquMkpNxtl49SJW8S/uSCBcaN1bYCBYKBNhobo7mzZvDyMgIFhYW\nMDIyQkBAAGbNmoX1kycjW8GxsonwRffuRdZiX758Ofz8/LRmBIhGaMEkSuoUFhaG77//XqMxREdH\nY9WqVWpJKycnB61bt8ann35aUJfRkU4XbtBqkfz8fCxfvhzOzs7o0qULrl69+t+bZVyTTygU4sKF\nC1iwYAG6d+8Oe3t72RIUS5YsweXLl8t1nS91r5HFSkGJSr1ITw/fV6+OkJAQbNmyBXl5eZqOWiYv\nLw8NGzbEd999p5Hj3717F6NHj4aRkRH09PSQmJhYZJsrV66gYcOGCA0NxT///KNS+iKRCC4uLrhy\n5Uqx71tbW2v/8gXaSseWH3jfrl270LZtW02HoZTbt2+jTZs2+Oijj3DhwgVNh8MquRYtWig9jFhC\nhA+NjZGlqDEqEKCVqyuCg4ORkJCAefPmYejQofD19YW+vj6Wv7mTqGoH2cmTJ2FnZ4ekpCQN/bW0\nRCVYueOtW7duwc7OTqm17cuTulYSyc/PR8eOHdG3b1/tXvu3GNyg1QIikQjr16+Hh4cHOnTogIsX\nLxa/oRp7SaRSKZKTk5GQkIDo6Gj4+fnB3Nwc7dq1Q3x8PI4fPy6b7l4dpk+fjkmTJqktPVYKSvaK\nCv/+Gzt37kTbtm1hZ2eHL774Asla0hOXlJQEGxsb/Pnnnxo5/qZNmyAQCNCnTx84ODggLCwMJ0+e\nLHRHViQSYc6cObC2tsaiRYtUuijEx8djxIgRRX7/8uVLmJqa8pDN0tLh4fZAQY95zZo1tbpDIzc3\nF1OmTIG1tTUWLlyo8hqejKlKKBSiRo0aKs0zMnz4cAx1ckIWUdHl6/T1ITQywjA3N/j6+sLS0lLW\nQVm/fn24uLigWrVqeKXkHeF3O8iSk5Nhb2+P48ePa/AvpiV0vIPxXSNGjMDXX3+t6TAwYMAAJCQk\nlCkNkUiEnj17onPnzrLRZ7qEG7QaJJFIsG3bNvj4+KBly5b4+eefNRrP06dPceDAAUycOBHNmzdH\njRo10LBhQ4wePRo7duxARkaG6om+mTQhz9i4YFiQmVmRSRNYBVLxTv+dO3cwfvx42Nraol27dti9\ne7fGC7otW7bggw8+UGuHizJSU1NhZGSEQYMGASiowK9ZswY+Pj5o2LAhtm7dWqgSf/v2bbRs2RJN\nmzbFjRs3lDpGeno6LC0tkZWVVej3ly5dQkBAgNo+S5WjZAVKYmam6UhL1K9fP7U+I6VOJ06cwAcf\nfICuXbsWGWLJWHm5fPky/Pz8lHukQF8fW62t4e3tjRcvXiAlMRF7nZ2RqadXcIf3nRsEubm56NCh\nAzp16gQ7OzscPXq00HGVvSP8toPs1atX+PDDDzU2ukjr6HgH41vPnz+HpaVlmebOUJd+/fph06ZN\npd5fIpFg0KBBCA0N1fjd5tLiBq0GSKVS7N+/HwEBAWjSpAkSExO18s5Lbm4uzp07h9mzZyMiIgJW\nVlaoVasWBgwYgJUrV+L69euQSCQlJ1DGYdKsnJTiTn9ubi42b96M4OBgODo6YvLkyUhNTa3AoAsb\nMmQIBg4cWGHHE4lEcHV1Re3atYvccZVIJDhw4ACCg4Ph4eGBxYsXyxqkEokEK1asgI2NDaZNm6bU\n7OMRERFFnsfZsWMHunbtqr4PVNUoM9xeIMBqIyMMGTIEly5d0nTERezfvx8tW7bUdBiFPH78GFFR\nUXBzc8OBAwc0HQ6rYlasWIHBgwcrNfoo39AQvoaGhToXpVIpNm3aBAcHB4wYMaLQ5Jm5ublo164d\nQkNDYWNjg7///vu/A6twh1EsFiMiIgKfffaZVtbzNKKS3KGdM2cOBgwYoOkwAAC9evXC1q1bS7Wv\nVCrFyJEj0bx58yKd6bqEG7QVSCqVIjExEU2aNEFAQAD279+vUwWcRCLBzZs3sXr1agwaNAienp6w\ntLREeHg4Zs6ciZ9//vm/np1K9tA/+8+NGzfwf//3f7CyskJ4eDgOHjxY4c9aZGVlwc/PDxs2bKiQ\n4/Xp0wfGxsYKRyn8/vvv6N69O2xsbBAXFycbInrv3j107NgRAQEBJT9S8MaPP/6IJk2aFPrdrFmz\nMH78+LJ9iKpMyfLo6fnzmDVrFtzc3BAUFIRNmzZpzXPkeXl5sLS0LN1IGTWTSCRYvXo1bG1tMX78\n+AofLcEYAAwePBgrVqwoeHH4MPINDYuuCGFoCGn16uhpaorg4OBi03n+/DmGDRsGR0dHbN26VVYv\ny8nJQdu2bREUFARPT8//ZhpX4RnQL7/8Ei1bttS6pRQ1Som/Xz4R/mjaFDk5OZqOtlhvO7n/+OMP\nTYcCAOjevXuplg+USqX44osv0LBhQ52fvI8btBXk7NmzaNmyJXx8fLBt2zb5dzZ1yMOHD7Fr1y6M\nHTsWjRs3homJCYKCgvBL/fqKp9PXkYf+WfGys7Oxfv16BAYGwtXVFdOmTavQyvbVq1dhY2ODW7du\nletxNm/eDD09PezevVvpfZKSkhATEwNLS0tER0fj1q1bkEql2Lx5M+zt7TFhwoQS15wVi8VwdXUt\n9Jzwp59++l/FjZWOCiNGRCIR9u7di9DQUNjb2yMuLg737t3TYPAFBg0ahEWLFmk0hmvXrqF58+Zo\n2rRpiROYMVYR/Pz8cPnyZQAFHT6BNjZ41rcvMvX1IRUI8EoggHj4cPRp3BidOnUquJsrx6+//oqA\ngAC0a9dONnFTdnY2Wrdujbp16/7XMFWyg2zf/Pnw8PDQqTVVK4QSfz9J9eqIad8ebm5u2LRpk9bV\nmXfs2IEWLVpoOgyZyMhI7N27V+X9pk+fjjp16ujksnDv4wZtObt48SI+/vhjeHh4ICEhodJPlJGV\nlYWTJ08iz9i4UgwpYcr5888/MXz4cFhaWqJr1644evRohVyAVqxYgfr165fbMx9paWkwNDTE0KFD\nS7X/kydPMGXKFNjZ2SEyMhLnzp3DkydP0KdPH3h5eeH06dPF7jd16lTExMTIXrdu3RrHjh0rVQzs\nHaUYbv/3339j1KhRsLS0RLdu3YpMAlaRDh8+jKZNm2rk2NnZ2Zg4cSJsbW2xYsUKratgsqrlxYsX\nqFGjhqxOtX79enz88ccAgPnz5+PTTz+FpaUlhg4dio4dO2L58uX47LPPFKYrEokwb948WFtbY+rU\nqcjLy0NWVhZatmwJNze3/5YyUdBBdnvRItjY2OCvv/4q17+DzlKyg/Hnn39G48aN0ahRI5w5c0bD\nQf+nefPm2LVrl6bDkAkPD1f5sY+FCxfCy8tLK54BVgdu0JaTa9euoUuXLnB2dsby5cur3nCTSvLQ\nP1PN69evsWrVKnz00UeoXbs2Zs+ejcePH5fb8aRSKbp3745Ro0apPe23d0q9vLzKXHnPzs7GsmXL\n4OnpiaCgIOzZswd79+6Fi4sLhg0bVmSoz/3792FpaSkbyunm5qbyMkBMvV6/fo3ly5fjww8/xIcf\nfohly5bh9evXFRqDUCiEtbV1hT+/fujQIXh4eKBv3754+PBhhR6bseIkJibK7pBJpVIEBATgyJEj\nAP6bUbhOnTpwdHTEixcvsHjxYpWuE2lpaejSpQs++OADnDhxApmZmQgKCoKVlRXmzZuHNwcqtoPs\n0S+/wNnZuVR3zKoUJTsYJRIJtmzZAnd3d3Tp0gW3b9/WUMAFLly4AHd3d626QdWhQwccVmFemjVr\n1sDNzU2jc6GoGzdo1ezOnTvo27cv7O3tsWDBAq0d/1/uKslD/6x0pFIpzp8/jyFDhsDCwgK9e/fG\nqVOnyuXO1osXL+Dh4aH2ykPfvn1hbGys1ga5WCzGrl27EBgYCG9vbyxYsABDhgyBq6srfvzxx0Lb\nDgsNxY2QEEjNzCAhKliagmcI1zipVIpTp06he/fusLS0RGxsbOEJY8pZdHQ05syZUyHHysjIQI8e\nPeDp6VlkplfGNGn69OmyeQVOnDgBPz+/QtcXT09PGBsbY9iwYQCAuXPn4vPPP1f5OPv374e7uzui\noqKQnJyMhg0bwsTEBAcPHpSt4gAzs4JOfDMziKKj0cXfHzNmzFDPB2Uyubm5+Pbbb2FjY4P/+7//\n09gw2f79+//XqaElQkNDlS6jt2zZAicnJ9y5c6eco6pY3KBVk9TUVAwZMgQ2Njb45ptveJKMSrRw\nNiubFy9e4LvvvkOdOnXg4+ODBQsW4NmzZ2o9xm+//QY7OzukpaWpJb0tW7ZAT08P+/fvV0t675NK\npfj5558REREBe3t7DB48GLVq1UK/fv0Knrc6fBgiY2MIiztneIZwrZGeno7JkyfD3t4ebdu2xd69\ne8u91/748eNo2LBhuR5DLBZjyZIlsLGxweTJk6tuxyzTWp06dZJNghMREYFVq1bJ3nvy5AnMzc0R\nGBiI9u3bAwC++eYbfPXVV6U6VlZWFiZMmABbW1ssXLgQderUQWdDQ0iqVStSzxEJBMjV14f00KGy\nf0hWrCdPnmDkyJGwsbHB3LlzK3TivoyMDFhaWhaaEVsbtGrVCidOnFC43b59+2Bvb49r165VQFQV\nixu0ZZSRkYGRI0fCysoKkydP1rpMrjE8yzF7j1QqxdmzZxEVFYWaNWtiwIABOHfunNru2s6ePRvN\nmzcvc4Pi3r17MDQ0lPXsl7ebN29i6NChsLCwQP369dHI0hIiRc+g87mjVfLy8rB582YEBQXB1dUV\nM2fOLLeJYEQiEezt7WWT1qjbpUuX0KhRI4SEhODmzZvlcgzGykIqlcLW1hb37t3DnTt3YGtrK+t0\nEQqFaNWqFT755BPZSgxSqRRTpkzBlClTynTcq1evolmzZoisWxfZih6r4jK63N26dQudO3dGrVq1\nsH379gqZ2yAuLg6xsbHlfhxVBQcHK3zGODExEba2tgpXWtBVesRK5enTpzRhwgTy9/enatWq0a1b\nt2j69OlkYWGh6dC0g6cn0a5dRCYmRIaGhd8zNCz4/a5dBduxKkEgEFCLFi3ohx9+oJSUFKpfvz4N\nGTKEAgICaNmyZfTq1asypT9hwgSqUaMGxcfHlzoNqVRKzZs3p1q1atGKFSvKFI+y/Pz8aO3atXTz\n5k0KCwujYVlZJM3Pl7+TSES0cGGFxMcUMzY2pn79+tGvv/5K+/bto+TkZPL29qaBAwfShQsX1Hos\nAwMD6t69O+3YsUOt6WZmZtKYMWOoY8eONHLkSDp16hT5+fmp9RiMqUNqaioZGBiQi4sLLV68mKKj\no6l69epERPTFF19QtWrVaPXq1ZSXl0fVqlWjlJQUys/PJyMjozId19/fn86ePUszra3JAJC/MZfR\n5c7Hx4f2799P33//PX377bfUrFkz+vXXX8vteLm5ubR69WoaNWpUuR2jtMRiMenr65f4/rlz56hf\nv360Z88eatSoUQVGVoE03aLWNS9evMDkyZNhZWWFESNG4P79+5oOSbuVYlZRVnVIpVKcPHkSvXr1\ngoWFBYYOHVqm3sNHjx7B0dERx48fL9X+ffr0QbVq1fDvv/+WOoaykvLz55XC06dPMXfuXNSqVQuN\nGjVCQkKC2mbjPnPmDAICAtSSllQqxe7du+Hi4oJPPvlEo3mfMWVs2bIFXbp0wfPnz2FhYSFbLm7j\nxo3w9PTE8+fPAQAjRoyAv78/Nm/ejHHjxqnvuUcuo7WORCLBhg0b4OLigp49eyK5HOqYa9euRXh4\nuNrTVYcmTZrg999/L/a9ixcvwtbWFomJiRUcVcXiBq2SMjMz8c0338DGxgaffPIJ7t69q+mQGKtU\nHj16hFmzZsHDwwMNGjTA6tWrS/Us+rFjx+Dk5KTyZE6bN2+GQCBQaabAcsEzhFcqYrEYP/74Izp0\n6ABbW1tMnDixzNcPiUQCJyenMk9GlZqaik6dOsHPz0+rlsRgTJ7Ro0dj1qxZ+PbbbxEVFQWgYKi8\njY1NoWcDjx49Cjc3N4wePRqxsbFYsmSJegLgMlprZWdnY8aMGbC2tsa4ceNknRtlJZVKUbduXa1d\nPq9Bgwb4448/ivz+2rVrsLe3x759+zQQVcXiIccK5OXl0aJFi8jLy4uuXbtG586do3Xr1pGHh4em\nQ2OsUrG3t6cvv/ySUlJSaObMmXT48GFyc3OjESNG0F9//aV0OqGhoTR48GAaOHAgSaVSpfa5f/8+\nDR48mGJiYigsLKy0H0E9TE3Vux3TKH19fQoPD6cjR47QL7/8QkKhkBo1akSRkZGUmJiodB59l56e\nHvXs2ZO2b99eqphEIhHNnTuXGjZsSE2bNqUrV65Qy5YtS5UWYxXt/Pnz1LBhQ1q6dCmNGTOGnj59\nSt26daPly5dT3bp1Zdu1atWKnj17JjvvyjrkWIbLaK1lYmJCcXFxdOPGDcrOziYfHx9avHgxCYXC\nMqV78uRJAkBt27ZVU6TqVdyQ46SkJPr4449p4cKFFBkZqaHIKg43aEsgFApp5cqV5OXlRadPn6bE\nxETaunUr+fj4aDo0xio1PT09+vjjj2nv3r107do1cnBwoE6dOlFQUBBt2LCBcnNzFaYRHx9PmZmZ\nNH/+fIXbSqVSatasGXl6etLSpUvV8RHKJiqq6HPn7zM0JBowoGLiYWrj7e1NCxYsoLS0NOrUqRN9\n8cUX5OfnR0uWLFH5GfLevXvT9u3bCYqe5XvPb7/9Rg0bNqTjx4/T+fPnKS4uTn0VfcbKmVAopKtX\nr1JGRgZ5eHhQvXr1qHfv3tS3b1/q2bNnoW2NjIyoQ4cOdPXqVcrLy1NfPucyWuvZ29vTypUr6dSp\nU3T06FGqU6cO7dmzR+Xy8q1FixbRmDFjSCAQqDlS9ZBIJGRgYCB7nZaWRu3ataOpU6dS3759NRhZ\nBdLwHWKtIxaLkZCQgFq1aqF9+/Y4f/68pkNirMoTiUQ4cOAAOnbsCGtra4wePVrhDKypqamws7Mr\n8bmSt3r37o1q1aqpfSmhUuMZwquMtzN/9+nTBxYWFhg+fLjSyylIpVK4ubnh6tWrSm3//PlzDBs2\nDI6Ojti6dWuFzAjKmLpduHAB/v7+CAwMxJ49ezBu3Di0b98eYrG42O0PLlqE1QYGyNLXh5So4PnX\nsq7nzWW0zklMTERAQABatGihcr3+/Zm0tcqbtZAz9fQgfbMWctagQWjj7o6FCxdqOroKxQ3aNyQS\nCbZv3w5fX1+lpr9mjGnG3bt3ERcXBwcHB7Rs2RJbtmwpcR26PXv2oFatWiUup7Vp0yYIBAIcOXKk\nPENW3eHDBRWi99dy5nVoK60HDx4gPj4eTk5OCAkJwY4dOyAUCuXuM378eMTFxcndRiqVYvPmzXB0\ndERMTAwvLcd02nfffYeIiAjUrl0bP/zwA2rXrl1yZ+Thw5CamCC/PNbz5jJa54jFYnz//fdwcnJC\n3759kZqaqtR+sbGxmDRpUjlHVwol5EEhEfINDatcHqzcDdo3PRcwMyt4iL+YnjmpVIoDBw6gXr16\naNy4MY4ePco914zpAKFQiJ07dyI0NBR2dnaYMGFCsWtzjhw5ErFhYZC+Vxa8HjAAH+jrY9SoURqI\nXgk8Q3iVJBQKsX37drRs2RLOzs6YOnUqHj58WOy2V/fuxQ/m5gUzYxdzjUtKSkJoaCjq1auncKQC\nY1rrnbqclAiZenr45c2a3X/99VfJ+5T3XVQuo3VSVlYW4uPjYW1tjYkTJ+Lly5eFN3g3vwkEeEWE\nzIEDtet75VECRVTeBq2C3jPpoUM4duwYAgMD4e/vj3379nFDljEddefOHUyYMAG2trYIDQ3Frl27\nZHe38vftQ45AALG+fqGyIJ8I2QJBlevFZLrj6tWrGDZsGCwsLNCnTx+cO3fuv+uUnLtPUhMTbI6K\ngrW1NebPnw+RSKTZD8JYaZVQl8sngsjYuOTyOyamaP2vuDu1I0dW7OdhWiMjIwNDhgyBvb09li5d\nWlBn0JU775y/ixAApXxCWpulpBAFBBDl5JS4Sa6eHkW4udGns2ZRr169SE+P58diTNfl5+fT7t27\nadWqVZSUlETju3alMevXk568iaRMTIiuXiXy9Ky4QBlTwcuXLykhIYGWL19OJiYm9FWvXtTrm29I\nIOcal6evT89PnSKn4OAKjJQxNVKiLldi+W1uTpSZqfgY5uZEKk7IxiqXq1ev0vjx4wnJyXTkwQMy\nyM8veeMKqC9IpVLKycmhzMxMysrKoszMzCL/HzhqFBnLi/OtKpS/K2eDdsQIorVriUSiEjeR6OuT\n4LPPSG/58goMjDFWUW7evEnP+vShwGvXSO7cloaGRJ99RqQNMxwzJodUKqVjx46RZNgwCk1L43zN\nKjcl6nIl5nM9vYL7VIro6RFJJGWLk+k8AHQvIoKcDh0iufNXF5PfJBJJsQ3Pkhqjiv6fnZ1N1atX\nJzMzMzI1NSUzM7NC/zc1NaW169aRUvMtV6H8XTkbtNwzxxgj4rKAVU6cr1lVUJZ8zucIU5WSeSZT\nT4/qe3jIGqD5+flUo0aNEhug7zdG5b1vZmZGNWrUKLKmbGljrUr520DxJjooK0u92zHGdBOXBawy\n4nzNqoKy5POoKOXu7vJasewtJfObKUA//fSTrAFavXr1in9skfN3EXyHtor0XDBWJXFZwCojztes\nKihLPi/L87esatKlcpXzdxGVcyakqKiCngl5qljPBWNVEpcFrDLifM2qgrLkc09Pol27Cir176dh\naFjw+127qkxlnylBl8pVzt9FVM47tNxzwRgj4rKAVU6cr1lVoI58npJCtHAh0Q8/FAwpNTUtaJCM\nHcvnBitMF8tVzt8ylbNBS0R05AhRjx4F48vfHWNuaFjws2sXUViY5uJjjFUMLgtYZcT5mlUFnM9Z\nReL8prMq55BjooIMd/VqwfTa5uYFU1ebmxe8vnqVMyRjVQWXBawy4nzNqgLO56wicX7TWZX3Di1j\njDHGGGOMsUqt8t6hZYwxxhhjjDFWqXGDljHGGGOMMcaYTuIGLWOMMcYYY4wxncQNWsYYY4wxxhhj\nOokbtIwxxhhjjDHGdBI3aBljjDHGGGOM6SRu0DLGGGOMMcYY00ncoGWMMcYYY4wxppO4QcsYY4wx\nxhhjTCdxg5YxxhhjjDHGmE7iBi1jjDHGGGOMMZ3EDVrGGGOMMcYYYzqJG7SMMcYYY4wxxnQSN2gZ\nY4wxxhhjjOkkbtAyxhhjjDHGGNNJ3KBljDHGGGOMMaaTuEHLGGOMMcYYY0wncYOWMcYYY4wxxphO\n4gYtY4wxxhhjjDGdxA1axhhjjDHGGGM6iRu0ZTR48GCaPHkynT17lnx8fDQdjkLx8fEUFRWl6TAK\nSUhIoBYtWmg6jErtbT5VVatWrWjt2rXlENF/BAIBJScnqyWtssbr4eFBx48fV0ss6lIR34Gm3L59\nm+rXr09mZmZkZWVVqjxaHiqiPH/3sy9ZskStaW/evJnat28ve/3uOTZ8+HCaPn26Wo+nKZX53Chv\n5ZX/tLGOoQyuh+gObbxOl4Y2ll+lrStqAwNNB1BZBAcH0+3btzUdBmOM6Yw5c+ZQ69at6cqVKzR4\n8GCNxSEQCCgpKYm8vLyIqGLK83c/u7r179+f+vfvX+x7K1euVPvxmO4pz/wnj4eHB61du5ZCQ0Mr\n9LiMscqN79CyMhOLxZoOgTGFNJFP+dyQLy0tjerUqVOmNHT1b6yOz67LQmco/wAAIABJREFUdPV7\nqyzk5T+JRFLB0ZQd5ydW1QEgqVSq6TA0hhu0Kvrzzz+pQYMGZGZmRr1796a8vDwiIjp9+jS5uLjI\ntps9ezZ5enqSmZkZffjhh7R3717ZewkJCdS8eXMaO3YsWVhYUO3atenXX3+lhIQEcnV1JTs7O9qw\nYYNs+1evXtHAgQPJ1taW3N3dacaMGbJM+3aYzPjx48nS0pJq1apFR44cke179+5dCgkJITMzM2rX\nrh09ffpUqc+5ceNGcnd3J2tra5o+fXqhIR7x8fHUo0cPioqKInNzc0pISKALFy5QUFAQWVhYkKOj\nI8XGxpJQKJSlJxAIaMmSJVS7dm2ysbGhCRMmFDnxSvoMTHUl5VMiojVr1pCXlxdZWVlR586d6cGD\nB7L3jh07Rr6+vlSzZk2KjY0lAIXSXbduHfn5+ZGlpSV9/PHHlJaWJnvvxo0b1K5dO7KysiJ7e3ua\nOXMmEZHCvEFEdPz4cfL29iYLCwsaOXJkoePKO6a8eN89z6ytrSk+Pp5SUlKoTZs2ZG1tTTY2NtS/\nf396+fKlSn/b3NxcGjRoEFlaWpKfnx/NmTOn0Lnv4eFB3377LQUEBFCNGjVILBYrVR7ExsZSzZo1\nydfXl06cOFHomGlpadS8eXMyMzOj9u3bK30ea7M2bdrQqVOnKDY2lkxNTYvkCXn5VCAQ0LJly8jb\n25u8vb2JiOjWrVuy/Ofj40M7duyQbT948GAaOXIkhYeHk5mZGQUGBlJKSgoREbVs2ZKIiOrVq0em\npqa0ffv2IuW5h4cHzZs3jwICAqhmzZpFzqkff/yR6tevTxYWFtSsWTO6evWqSp/9zp07dOjQIfro\no4/I3NycXF1dKT4+XrZ9amoqCQQCWr9+Pbm6upKlpSWtXLmSLl68SAEBAWRhYUGxsbGy7eUNn3x/\nSJm82L/99ltydnYmMzMz8vHxKZIv38fnhm54P//169ePYmJiqGPHjlSjRg06depUkeGQ7+epksp7\nIiKhUEgDBw4kMzMzqlOnDv3xxx9ERDRgwAC6d+8eRUREkKmpKc2ZM0dunFwPYSW5cuVKseWxvPJM\nXlnj7u5Oly5dIqKCRzYEAgHduHGDiIi+//576tKlCxER5efn05gxY8jJyYmcnJxozJgxlJ+fL0un\nLPWr4kgkEvr888/JxsaGatWqRUuXLiWBQCDrwGnVqhXFxcVR8+bNycTEhP755x9av349+fn5kZmZ\nGdWuXZtWrVolS+/ttW3mzJlkY2NDHh4etHnz5kLHfPHiRbHXSq0HprT8/Hy4ublhwYIFEAqF2Llz\nJwwMDBAXF4dTp07B2dlZtu2OHTuQkZEBiUSCbdu2wcTEBA8ePAAArF+/Hvr6+li3bh3EYjHi4uLg\n6uqKESNGIC8vD0ePHoWpqSkyMzMBAAMGDEDnzp3x+vVr3L17F97e3li7dq0sLQMDA6xevRpisRjL\nly+Ho6MjpFIpAKBp06YYO3Ys8vLycObMGZiamqJ///5yP+eNGzdQo0YNnD17Fvn5+fj8889hYGCA\nY8eOAQCmTJkCAwMD7N27FxKJBDk5Ofjjjz/w22+/QSQS4e7du/D19cXChQtlaRIRWrVqhWfPniEt\nLQ3e3t5Ys2aNUp+BqUZePj1x4gSsra1x6dIl5OXlITY2FsHBwQCAf//9F6ampti5cyeEQiEWLFgA\nfX192fe0b98+eHp64ubNmxCJRJg+fTqCgoIAAK9fv4aDgwPmzZuH3NxcvH79Gr///jsAKJU3wsPD\n8eLFC6SlpcHGxgZHjhxReExF8b49z5YsWQKRSIScnBwkJSUhMTEReXl5ePLkCYKDgzF69GhZLO7u\n7rJ8XpKJEyeiZcuWeP78OdLT0+Hv71/o3Hd3d0e9evVw79495OTkAFCuPHj7fW3btg3m5uZ49uwZ\nACAkJAS1a9fG7du3kZOTg5CQEEycOLE0WUPrhISEyL6vQYMGIS4uDgDk5lOgIM+Ehobi2bNnyMnJ\nQVZWFlxcXLBu3TqIRCJcvnwZ1tbWuHHjhixtKysrnD9/HiKRCP369UPv3r0LpZeUlCR7/X557u7u\njsaNGyMjIwPPnj2Dr68vVqxYAQC4fPkybG1t8fvvv0MsFiMhIQHu7u7Iy8tT+rO/PebVq1chkUjw\n119/wc7ODnv37gUA3L17F0SEYcOGITc3F0ePHoWxsTEiIyPx+PFj3L9/H7a2tjh9+jSAgjzVvHnz\nYj/fu39nebHfunULLi4uyMjIkMWQnJws9zPxuaE73j/3zM3Nce7cOUgkEuTm5hbJn+/mKXnl/ZQp\nU2BsbIxDhw5BLBbjyy+/RGBgoCwdZcpYgOshrGQllceKymJ5Zc2AAQMwb948AEB0dDRq166N5cuX\ny95bsGABAODrr79GYGAgHj9+jCdPniAoKAiTJ08GIP+6pai+UpIVK1bAz88P6enpeP78Odq2bQsi\ngkgkAlBwHru6uuL69esQiUQQCoX48ccfkZycDKlUitOnT6N69eq4dOkSgILrjL6+vqxdcPr0aZiY\nmODWrVsAFF8rtRk3aFVw5syZIgVcUFBQsQ3a99WrVw/79u0DUFBwenl5yd67evUqiAiPHj2S/c7K\nygp//vknxGIxDA0NZRUzAFi5ciVCQkJkaXl6esrey87OBhHh4cOHSEtLg76+PrKysmTv9+3bV2GD\ndurUqejTp0+hNA0NDQtdSN6tXBZn4cKF6NKli+w1EckaKQCwbNkytGnTRuFnYKqTl0+HDBmCCRMm\nyH6fmZkJAwMD3L17Fxs2bChU8ZBKpXB2dpYVuB06dJB1pACARCJB9erVkZqaii1btqB+/fpKxVdc\n3jh79qzsdc+ePTFr1iyFx1QU7/r16+Hq6io3lr179xaKW5nKVq1atfDTTz/JXq9Zs6ZIpf3777+X\nm8b75cH731fjxo2xceNGAAUXrOnTp8veW7ZsGT7++GO56euKkhq08vIpUJBnTpw4IXt/27ZtaNGi\nRaG0P/vsM8THx8vSHjp0qOy9Q4cOwcfHR/ZamQbtDz/8IHs9YcIEDBs2DAAwfPhwWYXmrQ8++EDW\nuFTmsxdn9OjRGDNmDID/GrT379+XvW9lZYVt27bJXnfr1k1WeVe2QSsv9qSkJNja2uLYsWMQCoVy\nP8tbfG7ojvfPvQEDBpT4PlA4T8kr76dMmYK2bdvKXt+4cQPVqlWTvVa2Qcv1EFaSkspjVcvid8ua\ntWvXIiIiAgDg6+uLNWvWyBpybm5usgZh7dq1cejQIVkaP/30E9zd3QHIv24pqq+UpHXr1li5cqXs\n9bFjx4o0aL/++mu5aURGRmLRokUA/mvQvtsu6NmzJ6ZNmwZA8bVSm/GQYxU8ePCAnJ2dSSAQyH7n\n7u5e7LYbN26UDXuwsLCg69evFxoKZW9vL/t/9erVi/1dVlYWPX36lEQiUaHjuLu7U0ZGhuy1g4OD\n7P8mJiZERJSVlUUPHjwgS0tLqlGjhsJ43/+crq6uhdK0trYutM277xMR3blzhzp16kQODg5kbm5O\nkyZNKjL069193N3dCw3FKOkzMNXJy6cPHjwolAdMTU3J2tqaMjIyinzvAoGg0Ou0tDQaPXq0LE9b\nWVkRAMrIyKD09HTy9PQsNh5l8sb73//b717eMRXFS1Q0nz5+/Jj69OlDzs7OZG5uTlFRUSoPUXz/\nuO8fo7jfKSoPivu+5J0flf3ckJdP33o/b54/f17297WwsKDNmzfTo0ePZNuU9W8oL4/Onz+/0LHT\n09MLfX/KOH/+PLVu3ZpsbW2pZs2atHLlyiJ58/1rRHHXDFXIi93Ly4sWLVpE8fHxZGdnR3369FH4\nmfjc0F3FfVclkVfeExX9TvLy8lR+xpXrIUye4s57RWWxvLImJCSEzp49Sw8fPiSJREK9evWiX375\nhVJTU+nVq1dUv359Iip6bXo3D5WlflWS0pSpR44coaZNm5KVlRVZWFjQ4cOHC50HxbULKkOZyg1a\nFTg6OlJGRkahce/37t0rsl1aWhpFR0fT0qVL6dmzZ/Ty5UuqW7euUuPl32djY0OGhoaFnhu8d+8e\nOTs7KxXvixcvKDs7W268xe13//592evc3Fx69uxZoW3erWAQEcXExJCvry8lJSXR69evaebMmUU+\nb3p6eqE4nJycFMbCVCcvnzo5ORXKS9nZ2fTs2TNydnYmR0fHQt8RgEKvXV1dadWqVfTy5UvZT25u\nLjVr1oxcXV3pn3/+KTYeZfJGSeQdU1G8REXz6aRJk0ggENC1a9fo9evXtGnTJpXPy/fPj/eP+f5x\nlSkPivu+qvL5IS+fvvXu39jV1ZVCQkIK5ZOsrCxasWJFucfq6upKcXFxhY6dk5NDffv2VSmdfv36\nUefOnSk9PZ1evXpFw4cPL9U1QxWKYu/Xrx+dO3eO0tLSSCAQ0MSJE+Wmx+eG7nq/rKxRowbl5OTI\nXr/bOSSvvFf1OCXheghTlbzyTFFZ4+XlRSYmJvTdd99Ry5YtydzcnBwcHGj16tXUokUL0tMraC69\nf216Nw+VpX5VElXL1Pz8fOrevTuNHz+eHj9+TC9fvqSOHTsWOg+KaxdUhvOAG7QqCAoKIgMDA1qy\nZAmJRCLas2cPXbhwoch22dnZJBAIyNbWloiI1q9fT9evXy/VMfX19alXr14UFxdHmZmZlJaWRgsW\nLFBqnTd3d3dq1KgRTZkyhYRCIZ07d44OHjyocL8ePXrQwYMH6ddffyWhUEjx8fEKK1aZmZlkbm5O\npqamdOvWrWIrknPnzqUXL15Qeno6LV68mHr37q0wFqY6efm0b9++tH79erpy5Qrl5+fTpEmTKDAw\nkDw8PCg8PJxu3LhBe/bsIbFYTEuWLClUiRk+fDjNmjVLNlHCq1evaOfOnURE1KlTJ3r48CEtWrSI\n8vPzKTMzk86fP09EyuWNksg7pqJ4i5OZmUmmpqZUs2ZNysjIoLlz5yody1u9evWiWbNm0YsXLygj\nI4OWLl0qd3tlyoMnT57Ivq+dO3fS33//TR07dlQ5tspCXj4tTqdOnejOnTv0ww8/kEgkIpFIRBcv\nXqS///5bqePZ29uXuoIeHR1NK1eupPPnzxMAys7OpkOHDlFmZqZK6WRmZpKVlRVVq1aNLly4QFu2\nbClVPKqQF/vt27fp5MmTlJ+fT9WqVaPq1avLKnUl4XOj8qhfvz7t2bOHcnJyKDk5mb7//nvZe/LK\ne0WUPde4HsJUJa88U6asCQkJoaVLl1JISAgRFUy49O5rooJr04wZM+jff/+lp0+f0rRp02T18bLU\nr0rSq1cvWrx4MWVkZNDLly/p22+/lbu9UCik/Px8srW1JQMDAzpy5AglJiYW2e5tu+Ds2bP0448/\nUs+ePRXGou24QasCIyMj2rNnDyUkJJCVlRVt376dunXrVmS7Dz/8kD7//HMKCgoie3t7unbtGjVv\n3rzUx/3uu++oRo0aVLt2bWrRogX169ePhgwZotS+W7ZsofPnz5OVlRVNnTqVBg4cqHCfOnXq0Hff\nfUd9+vQhR0dHMjU1JTs7OzI2Ni5xn3nz5tGWLVvIzMyMoqOji71IREZGUsOGDal+/foUHh5OQ4cO\nVeozMNXIy6ehoaE0ffp06t69Ozk6OlJKSgpt27aNiApGA+zcuZO+/PJLsra2pqSkpEL5tmvXrjRx\n4kTq06cPmZubU926dWWzQJqZmdGxY8fo4MGD5ODgQN7e3nTq1CkiUi5vlETeMRXFW5wpU6bQ5cuX\nqWbNmhQeHl7s+avI//73P3JxcaFatWpRaGgo9ejRQ+65oUx5EBgYSElJSWRjY0NxcXG0a9euIsPr\nqhJ5+bQ4ZmZmlJiYSNu2bSMnJydycHCgiRMnFpp9Up74+HgaNGgQWVhYFJodWRmNGjWiNWvWUGxs\nLFlaWpKXlxclJCSolAYR0fLly+l///sfmZmZ0bRp06hXr14qp6EqebHn5+fTl19+STY2NuTg4EBP\nnjyhWbNmyU2Pz43KY+zYsWRkZET29vY0aNCgQusayyvvFfnqq69oxowZZGFhQfPmzStxO66HMFXJ\nK8+UKWtCQkIoMzNTNvP9+6+JiCZPnkyNGjWigIAA8vf3pwYNGshmjS9L/aok0dHR1L59ewoICKCP\nPvqIOnbsSAYGBqSvr1/s9mZmZrRkyRLq1asXWVpa0pYtW6hz586FtnFwcCBLS0tycnKi/v3708qV\nK8nX11e5P7IWE6C8xzQxnZeVlUUWFhaUlJREtWrVKlUaAoGAkpKSyMvLS83RMaZZK1asoG3bttGZ\nM2dKtX9CQgKtXbuWzp07p+bIGNMsPjeYunA9hLGC52OHDx9eaGizKk6fPk1RUVGFhjFXFnyHlhXr\n4MGDlJOTQ9nZ2TR+/Hjy9/cvcbgfY1XJw4cP6ZdffiGpVEq3b9+m+fPnU9euXTUdFmMax+cGUyeu\nh7CqLjc3lw4fPkxisZgyMjJo6tSpXKaWgBu0VdTmzZvJ1NS0yE+dOnWIiGj//v2yhaOTkpJo27Zt\nSk/mwJiuCwsLK/b8mDlzJgmFQho2bBiZmZlRmzZtKDIykkaMGKHpkJmWuXfvXrF5yNTUVKnJ+bQV\nnxtMXbgewljBXCHFnQdvJwacMmUKWVpa0kcffUR+fn40bdo0TYeslXjIMWOMMcYYY4wxncR3aBlj\njDHGGGOM6SRu0DLGGGOMMcYY00ncoGWMMcYYY4wxppO4QcsYY4wxxhhjTCdxg5YxxhhjjDHGmE7i\nBi1jjDHGGGOMMZ3EDVrGGGOMMcYYYzqJG7SMMcYYY4wxxnQSN2gZY4wxxhhjjOkkbtAyxhhjjDHG\nGNNJ3KBllVdKCtGIEUTm5kR6egX/jhhR8HvGFOH8w5jm8PnH1IXzEqsonNc0RgAAmg6CMbU7coSo\nRw8ikajg5y1Dw4KfXbuIwsI0Fx/Tbpx/GNMcPv+YunBeYhWF85pGcYOWVT4pKUQBAUQ5OSVvY2JC\ndPUqkadnxcXFdAPnH8Y0h88/pi6cl1hF4bymcTzkmFU+8+cX7h0rjkhEtHBhxcTDdAvnH8Y0h88/\npi6cl1hF4bymcXyHllU+5uZEmZnKbffqVfnHw3QL5x/GNIfPv8otJaWg8r9pE1FWFpGpKVFUFNHn\nn6v/zhXnJVZROK9pHDdoWaUDPT0SKJOt9fSIJJLyD4jpDABE+vqcfxjTFD09Ij7/KqdyesZQLBZT\namoqJSUl0Z07dygpKYmSkpLoSGKicsMQOS+xMuJ6p+YZaDoAxtTl+vXrtHbtWppORGbK7GBqWs4R\nMV0gFArp9OnTdODAAdq9ezfdBshcmR05/zCmfqamyt3p4PNPt6SkFDRmi3vG8G0Dt0ePEp8xlEgk\ndO/ePVlj9d2fe/fukaOjI3l7e8t+wsLCCL/8QpSdrTg2zkuslDIzM2nz5s0UJRCQqTINWs5r5YYb\ntEynZWVl0Y4dO2jNmjV07949GjJkCEn79SPasUP+8wyGhkQDBlRcoEyrvHz5kg4fPkwHDhygo0eP\nkqOjI0kkEhIKhXSrUSNqfOUKCcTiEveHoSEJOP8wpn5RUURr13L5Xdko8YwhRCLKmjaNLgwcWKTR\nevfuXbK1tSVvb2/64IMPyNvbm9q0aUPe3t5Uu3ZtMjY2LprgwIEK8xKX5aw0rl+/TitWrKCtW7eS\nv78/VatWjaJyc8lATqNWJBBQbmSkch3mTGU85JjpHAD0xx9/0Nq1a2nnzp0UHBxMn376KYWFhZGB\ngQHPNseKlZaWRvv376cDBw7QhQsXKDg4mOzt7enChQsklUpp3Lhx1L9/f6r+4IHC/JOnr0+Sy5ep\nRkBABX4CxqoALr8rJyWfMXwtEFBEcHChu63e3t7/z96Zx9WUv3H8KWWJ9tse0oJslZ3CZBdlS4Yp\nWRLN2GPEGMaaJYORXZaxL1GkCNNkHbuiRCX7EibtdW+dz++Php+l5W7nnpvO+/Xy8nLvOc/zOTmd\n832+3+f7PGRlZUUaGhqS+RTjXspXVaW8y5dJv21byWzzVDmEQiGFhobShg0bKDU1lby8vOjJkyd0\n/vx52jl3LnWdMqXce02ork4dNDRo0IwZNH369NInYXikhg9oeSoNGRkZtGfPHtq6dStlZWWRj48P\njRw5kkxNTb8++L+9OqK8PFL/9HO+H9i3yxfFRlCnDr3p1Yv2GBnRzgsX6Pnz59SvXz/q2rUrpaWl\n0aZNm6hx48bk7+9PvXv3JlXVT3ZblbPXC+rqtNrRkf5884aOHz9O5ubmir9WHp5vGERGUoGrK1VX\nUaFqn+4345/flReu9kaXMxaAujrt7t+f5l6+TMePH6dmzZrJzy/PN8Pjx49p8+bNFBISQs2aNSM/\nPz8iIpo8eTK5urrS0qVLSVtbW6w94mmNG9PUqVMpISGB1q5dS7179+boqr5BwMOjxDAMg9jYWHh5\neUFbWxtDhw7FmTNnUFxcXOG5BQkJ2FCtGhgtLUBVFdDSAn76CUhJUYByHoUSGQloaIBRVwdKhk0A\nEQqJUKimhjvLl+PBgweYOHEidHV14eXlhVu3bpVvMyWl5H4p5f5hGAZLly6FmZkZrl+/rphr5Kk8\npKQAfn6ApiagolLyt58f/+wRk4MHD8KtaVMwP/5Y6u8fTyVEU/OzZ3NZf3LU1LBp0yY8evRIbq5f\nnD+PLTVqlDkW2L17NwwMDBAZGSk3nzyVm+LiYkRGRsLV1RX6+vqYMmUKkpKS8OrVK3h4eMDGxgZ/\n//331yeWM274lIiICFhaWmLgwIFyvderMnxAy6OUvH79GsuXL0fDhg1ha2uL33//HW/evJHIxo0b\nN9CsWTOWFPIoC+9v3ICoevVyB0n51aqhlY4OZs6ciWfPnsnNd2hoKAQCAUJDQ+Vmk6eS89/kCr6Y\nXIG6esnn/KC5XIRCIaytrXH69GmupfDIkVeDBqGwgmCWUVNDUvfu+OGHHyAQCGBra4spU6bg5MmT\nyMvLk9p3SEgIhg4dWu4xFy9ehImJCdasWQOGYaT2xVO5efPmDZYtWwZLS0u0atUKISEhyM3NBcMw\n2LlzJwwNDTFz5kyZ7scP5OfnY/78+dDT08PixYtRUFAghyuouvABLY/SUFxcjJMnT2Lw4MHQ1tbG\nyJEjcfHiRalfLiEhIfD09JSzSh65IcMqVlpaGlavXg1nZ2dsVleHUEWl3IFSkaoqCseOZeUyrl+/\nDjMzMwQGBvIDoapOSkpJ0FrewF1Dg19lLIf169ejR48eXMvgkRMMw2DNmjVoo6cHUY0aYv9uFBcX\n49q1a1i4cCEcHR1Rp04d9O7dG6tXr0ZSUpJEz9qhQ4di27ZtFR6XlpaGpk2bYvz48RAKhVJfM0/l\ngmEYXLp0CZ6entDR0cHIkSNx9erVj9+npaWhZ8+esLe3x40bN+Tu/+HDh3Bzc4ONjQ1Onjwpd/tV\nBT6g5eGcp0+fYv78+ahfvz5atmyJDRs24P379zLbnTRpElasWCEHhTxyR8JVLIZhcO3aNcyZMwfN\nmzeHgYEBRo0ahbCwMDBiprJBS4u1y3n69Cns7e0xatQoFBYWsuaHR8nx8/v6nv7yj7p6SQoaz1dk\nZ2fDxMSElUEjj+J5//49Bg8ejJYtWyI1NVWm7IV///0Xhw4dgo+PD8zNzWFhYYFx48bh6NGjyMzM\nLPO8oqIi6Ovr4+nTp2JpzszMRJ8+fdC9e3dkZGRIfM08lYfs7Gxs2rQJdnZ2sLa2xsqVK/Hu3buP\n3xcVFeGPP/6Avr4+lixZwvokx/Hjx2FpaYlBgwbh8ePHrPr6FuEDWh5OEAqFOHr0KFxcXKCrqws/\nPz+5D2I6d+7Mp60pI2KuYhUkJCAqKgrjx4+HqakpGjZsiBkzZuDChQsoKir6aI6pYHX24x9VVVYv\nKzs7G25ubujSpQvevn3Lqi8eJUUJJlcqMwsXLsT333/PtQweOXDr1i1YW1vDz88P+fn5//9CzD2G\n5cEwDO7evYugoCB0794dderUQZcuXRAYGIhbt259tnp79epVNG3aVCLtIpEIkydPRuPGjZGcnCzR\nuTzKT0JCAiZMmAA9PT0MGDAA0dHRX9VlSUhIQIcOHeDk5ISkpCSFafs0DXnJkiV8GrIE8AEtj0JJ\nSUlBQEAAjI2N4ejoiB07diAnJ0fufhiGgba2NtLT0+Vum0dGxFjFEqmoYHP16ujYsSOWLVv21Qvl\n5cuXCA4ORufOnZEpTgChoCCiqKgI/v7+sLGxwf3791n3x6NkKMnkSmUkPT0d+vr6SOHTsSs1DMNg\n8+bNEAgE2Lt3r0J85uTkICIiAhMnToSNjQ2MjY3h7e2Nffv2YdasWZg2bZpUdtevXw8jIyPExsbK\nWTGPoiksLMSBAwfQpUsXmJiY4Ndff8WTJ09KPW7BggUQCARYv369WAVI2SA1NRWurq6wsbHBqVOn\nONFQ2eADWh7Wyc/Px969e+Hs7AwDAwNMmzYNiYmJrPpMS0uDqakpqz54pETMVaxiTc3PTnvx4gXW\nrl2Lzp07Q0dHB56enggPD4fI11fp0jw3b94MQ0ND/PXXXwrzyaME8Cu0UjN58mRMmDCBaxk8MpCd\nnQ1PT080a9YM9+7d40xHSkoK1q1bB1dXV1SrVg0NGzbE3LlzcenSpc+ye8QhOjoahoaG2L59Ozti\neVjlyZMnmDNnDoyNjeHs7IyDBw+WmTp89epVNG/eHC4uLkqT8nvs2DE0aNAAgwcPVhpNygof0PKw\nxt27dzF58mQIBAJ0794dBw4cUFj6xId0Zh4lRIJVrA9BbKdOnT4GsceOHfv8PlLSQjxnzpyBoaEh\nQkJCFOqXh0P4PbRS8fDhQ+jp6eH169dcS+GRkoSEBNja2sLb2xu5ublcywFQsh+2Tp06iIyMxIwZ\nM9C8eXPo6enBw8MD27Ztw/Pnz8Wyc+/ePVhZWWHmzJmcrdjxiE9xcTFOnTqF/v37Q09PD5MmTSp3\nESU3Nxf+/v4wMjLCnj17lK64Y15eHn777Tfo6+sjMDCQr9NRBnyE5tXhAAAgAElEQVRAyyNXcnJy\nEBISgvbt28PU1BS//PILHj58qHAdv/32G2bNmqVwvzxlU1RUhOjoaOSqqYkV0GZXqwYdHR14eXl9\nHcR+SRnFRkSqqshTVUXR8eOKu9BP+DAQ+vnnn/mBUFVASSdXlB1PT0/MmzePaxk8UrJr1y4IBAKl\nm7w7evToVxWznz17hm3btsHDwwO6urpo3rw5ZsyYgbNnz5b7jnn79i06d+6MAQMGsLJNiqccxOyI\n8PbtWwQFBcHKygoODg7YsmVLhf9XZ8+ehZWVFYYPH670W9RSU1PRr18/NGzYkE9DLgU+oOWRmQ8V\naH19faGrqwtXV1ccO3YMIpGIM00DBgzAgQMHOPPP83+SkpIwa9YsmJubo2XLlohzdARTQVArUlHB\nQxcXyVb0Syk2UuznB28nJ0ydOpW9C6yAN2/eoFOnThg4cCA/EKoKlDG5UqSqyvehLYVbt27ByMgI\nWVlZXEvhkZD8/Hz4+vqiYcOGiIuL41rOV/j5+SEoKKjM70UiES5duoS5c+eibdu20NLSgqurK9at\nW1dSlfkLCgsLMWrUKDg4OJRUTZah9RyPmFRQGZs5cQL//PMPvL29oaOjgxEjRuCff/6pcJU1IyPj\nY8Xs4xxNeEvLhzRkd3f3UvcBV1X4gJZHajIyMhAcHAw7Ozs0aNAAixYtwrNnz7iWBQCwsLBQaGU6\nns/JyMjAxo0b0b59exgZGcHf3x/x8fElXyp4Fevdu3ewsrLCrl275GJPGgoKCuDt7Y2WLVsqze8I\nD4t8MblSVLs2dmpqovjBA66VKR29e/fG2rVruZbBIyHJycmwt7eHh4dHuW1zuMTS0vL/7x0xePPm\nDfbt2wdvb28YGRnBxsYGEyZMQERExMfJSIZhsGzZMnjq66OoZk2pWhDxiIkYY4U8VVV8V7cuVqxY\nIXZ3gaNHj8LMzAx+fn5Ke+9WRF5eHubNm8enIX8CH9DySATDMDh37hy8vLygra0NDw8PnD59WqnS\nKTMyMlC7dm2Jiz/wyIZIJEJkZCSGDh0KLS0tuLu7IyIi4rOV+mfPnmHNmjXwb9IEOf+txCpiMBAf\nHw+BQIDr16/L1a4kMAyDJUuWwNzcnO+zWQVp2bIlnyb2BWfPnoWlpSU/GKtkHD58GAKBAMHBwUq3\n3/ADycnJMDExkVpfcXExbt26hcDAQHTp0gV16tRB9+7dERQUhPuRkRDVqMFvLWAbMWoSFFerBubH\nH8Uy9+rVKwwZMgQNGzb8ZipXp6SkoG/fvmjUqFGVb1PJB7Q8YpGeno4VK1agUaNGsLW1xcqVK/Hm\nzRuuZZVKbGws2rdvz7WMb5NSUqzeDh2KQB8fmJiYoG3btli3bt1nzck/BLGOjo7Q1dXFiBEjEBER\ngYKEhI+rWIyKCjJVVPDe05O1QcDhw4dRr149zgvPHDp0CAKBAGFhYZzq4FEsGzZswODBg7mWoTQw\nDIPWrVtj3759XEvhEZPCwkJMnjwZFhYWuHr1KtdyymXdunXw9vaWm73MzEwcPXoU48ePx5916qCw\nojoQfPE32ZFT1XiGYbBjxw4YGBggICAAeXl5CroAxXHs2DFYWFhgyJAhJenwVRA+oOUpkw+V4tzd\n3aGtrY2RI0fiwoULSjsj+4E//vgD48aN41rGt0cZe1kKiVCopobHGzd+PPTZs2dYvXr1xyDW29u7\nJIgtZ0/spEmT8Ouvv7J6CbNnz0aXLl3KLNuvKK5evQpTU1OsWLFC6X+feORDZmYmdHR08OrVK66l\nKAUHDx6Eg4ODUmX38JTN48eP0a5dO7i6uuLff//lWk6FuLm5sdYHl+HbcykGOfT1TktLQ8+ePWFv\nb//NZ0bl5eVh7ty50NfXx7Jly6pc5gsf0PJ8xdOnT7FgwQLUr18fLVu2xPr16/H+/XuuZYnN6NGj\nsWHDBq5lfFukpICpYC9Lca1a2D5njkRB7KfExcWhbt26rKaKFxUVwcXFBRMnTmTNh7g8efIEdnZ2\n8PHx4TzA5lEMY8aMwdKlS7mWwTlCoRA2NjaIjo7mWgqPGERERMDQ0LDSTMAJhUJoaWmxl0Umh0CL\nRwxkmDgoKirCmjVrIBAIEBgYWKXesSkpKXBxcUHjxo2rVBoyH9DyACh5AYSFhaFv377Q1dWFn59f\npZ3NatWqFS5dusS1jG+G27dv43yLFhWmWBUS4XSjRjhx4oTUM4OtW7dGVFSUnK/gczIyMmBjY4Pt\n27ez6kccsrKy0K9fP3Tt2rVSrHrwyMaVK1dgZWVV5VclN2zYgO7du3Mtg6cCRCIRAgICYG5ujgsX\nLnAtR2xiY2PRqlUr9hzwK7SKQcq+3gkJCWjfvj06depUZYuDMgyD8PBwWFhYwMPDo0qkIasST5Um\nNTWVZs+eTfXr16cVK1aQu7s7PX36lNavX08tW7bkWp7EiEQiSkxMpObNm3MtpVKTnp5Oq1atInt7\ne3Jzc6PWSUlUvYJzqhNR95cvycXFhapXr+jo0hkzZgyFhIRIda646OjoUFhYGM2YMYOuXr3Kqq+K\n0NTUpLCwMLKzs6P27dtTSkpKyRepqUQ//kikpUWkqlry948/lnzOU2lp06YN1a5dm2JiYrgTwfG9\nlZOTQwsWLKClS5cqxB+PdLx48YK6detGN27coJs3b5KjoyPXksTm1KlT1KtXL/YceHoSqauXf4y6\nOpGXF3saqgL+/uL9nKdOJSIioVBICxcupM6dO9OIESPo77//pkaNGilAqPKhoqJCbm5ulJCQQI0a\nNSJ7e3tavnw5CYVCrqWxB9cRNY/iyc/Px969e9G1a1cYGBhg2rRpSEhI4FqWXLhz5w5sbGy4lqEc\nSNgjr7CwEKGhoXB1dYW2tjZGjBiBqKgoxMbGghFnNloOKVYZGRnQ1tZWSIPzo0ePwtzcHC9fvmTd\nlzhs2LABRkZGiF+2rNy+e3w7iMpNcHAwPDw8uHFeQU9HRdxbCxcuxPfff8+6Hx7pOXPmDExMTLBg\nwYJK2S2gdevW+Pvvv9lzoODWc1WaMp5ZIlVV5Fer9vGZdfXqVTRv3hx9+/ble7OWQnJyMvr06YPG\njRvjzJkzXMthBT6grULcvXsXU6ZMgUAgQPfu3bF//36x9zdWFnbv3o0hQ4ZwLYN7xBy4MgyDa9eu\nYcKECRAIBOjUqRNmzpyJ2bNno2vXrqhTpw5atmyJ/OrVFZZi5enpid9//11mO+Iwb948ODk5KU3x\nhPM7diC3op8xP1Cq1GRkZEBHR0chkzafoQSD8PT0dOjp6SE5OZk1HzzSU1RUhPnz58PExKTSDnrf\nvHkDLS0t9p/pZbxjGTU1fuJR3nzS17uYCMWamhD6+sLJxAQnT56Ev78/jIyMsGfPnkqxx5srGIZB\nWFgY6tevj6FDh+LZs2dcS5IrfMrxN05ubi5t27aNOnbsSD179qTatWvTlStX6PTp0zR06FCqUaMG\n1xLlyu3bt8ne3p5rGdySmkrk7k6Ul0ckEn3+nUhElJdHzODBtCUggJo2bUpubm50584dsrS0pJs3\nb1JMTAyJRCKaNm0aPXv2jG7cuEE1x4xRWIrVh7RjADLbqoi5c+eSnp4eTZkyhXVf4uB05QrVUlMr\n/yCRiGjVKsUI4pE7Ojo6NGDAANq5c6diHa9c+fXz4EtYvreWLFlCw4YNI2tra9Z88EjHmzdvyMXF\nhc6ePUvXr1+nbt26cS1JKs6cOUNdunSRetuL2PTpQxQfT+Tr+zF9P19dnW63bVvyeZ8+7PqvSlhZ\nEQUHE2VmUtPGjSnpn39IfdMm6jp2LLm5udHz58/pzp07NHz4cFJRUeFardKioqJC/fv3p8TERLKx\nsSE7OztasWLFt5OGzHVEzSN/Pqy6jRs3Drq6unB1dcWxY8cgEom4lsY6PXr0QEREBNcyuEWMQgqF\nRNhasyZq1aqFDh06YNasWTh58iSysrJKt6nA1R2GYWBlZYUrV67IbEscMjMz0bhxY2zZskUh/sqF\nLzZSJbh48SIaNmyo2NUEju+thw8fQk9Pj29bpIScP38e5ubmCAgIqPTjhJEjRyI4OJgT31FRUejQ\noQMnvqsKTk5OiIiIgI+PD8zNzWFnZ4c//vhDcQIk3MqlzDx48AB9+vSBra0tzp49y7UcmeED2m+I\njIwMBAcHw97eHg0aNMCiRYu+uZSC8mAYBgYGBlXqmktFzIGrSEMDOTk54ttV4P67xYsXw9fXV272\nKiIpKQkGBgbcV8fm20FUCRiGQdOmTdnd5/clHN9bnp6emDdvHiu2eaSDYRisWLEChoaG38REMMMw\nMDU15SylvbCwELq6unj+/Dkn/qsCbdu2hZ6eHvz8/JCZmYmEhAQIBAK8fv2afedKUINA3jAMg6NH\nj34Tach8ynElBwCdP3+evL29ycLCgs6dO0crVqyglJQU+uWXX8jMzIxriQrj1atXxDAMmZqaci2F\nW3JyxDpMraCAateuLb7dT1Ks8tTUCCoqJalWvr5yT7Hy9vamQ4cOUW5urtxslkejRo1o27ZtNGTI\nEHrx4oVCfJZKnTryPY5HKVFRUSFfX1/avHmz4pxyeG/dvn2bTp8+Tf7+/nK3zSMdGRkZNGDAADp8\n+DBdvXqV+vbty7UkmUlISKAaNWqQlZUVJ/6rV69Offv2pbCwME78f8u8evWKhgwZQklJSTR69Gha\nv349aWlpUZMmTcjLy4tmz57NrgAxtnKRu3ul60SgoqJCAwYM+CwNOSgoiEQVbU9RQviAtpLy5s0b\nCgoKIltbW/L19SU7OztKTk6mAwcOUPfu3UlVter9137YP1vl91CwOXD9by+Ll5sbhR48SJSZWbK3\nRc4DCDMzM+rYsSMdPnxYrnbLo1+/fjR+/HgaPHgwFRYWKszvZ/DtIKoMnp6edOLECXr37p2iHBJT\nwf5sIREd09am6Ohoue5hnzVrFv3yyy+kqakpN5s80nPt2jVq2bIlNWjQgM6dO0f169fnWpJc+NCu\nh8sxwKBBgyg0NJQz/98aAGjnzp3UokULsra2Jh8fH9LX1//smHnz5lFkZCS7bfiUoAYBm2hoaNDC\nhQvp8uXLdObMGbK3t+e2vZwUVL2opxLDMAxFR0eTh4cH2djY0N27dykkJIQSExNp2rRpZGBgwLVE\nTuELQv2HAoIikUjEetENRfSk/ZLZs2eTiYkJTZgwQSFFqb5Cwr57PJUXPT09cnV1pT///FMh/u72\n6kUFRUXlHqOuoUHCn34if39/at68OYWEhFBBQYFMfmNiYuj+/fs0btw4mezwyA4AWrduHbm4uNCK\nFSto9erV7BdPUiDR0dHUs2dPTjX06tWLrl+/Tm/fvuVUx7fAo0ePqHfv3rRmzRo6deoUBQYGkpGR\n0VeTgNra2hQYGEgTJkwghmHYEbN7t3gB7a5d7PhXEDY2NhQVFUWLFi2ikSNH0vDhw7nNWpMAPqCt\nBDx79owWLlxIlpaWFBAQQM7OzvT48WPasWMHOTo68iuS/xEXF0d2dnZcy+AeBQRFQqGQ1CvyISP9\n+vWj+/fv04MHD1j18ymqqqq0c+dOunTpEm3atElhfj9iZUUFu3dTHtHXq2nq6kQaGkSHD8t9RZyH\nG3x9fWnLli2sT57cu3ePeowfT7fnzCm5h7783f3v3lI5fJjcZ86k+Ph4Wr16NYWGhlL9+vXpt99+\no9evX0vsFwDNnDmTFi9e/E0FTpWR7OxsGjZsGG3ZsoUuX75M7u7uXEuSK/n5+XTp0iXq2rUrpzo0\nNDSoR48edPz4cU51VGaKi4tpzZo11Lp1a+ratStduXKFHBwciIhIX1+/1MkCLy8vUlNTox07dshN\nh1AopPv379Px48cJ2dninSTmli9lRkVFhQYOHEj37t0jS0tLatGiBa1cuVLp05D5gFZJKSoqovDw\ncHJ1daUWLVrQixcv6MiRI3Tz5k3y8/MjbW1triUqHfwK7X9YWZUEPRoaBJaCIpFIxHpAq66uTl5e\nXrRt2zZW/XyJpqYmhYeH07x58+jChQsK9U1EtObBAwpwcSHVceOItLQIKiqUpaJCjI8P3w7iG8PJ\nyYkA0MWLF1nzkZaWRj179qRly5ZRx4ULP+6Dh5YWMUTEaGp+tQ9eRUWFunfvTpGRkfT333/Ty5cv\nqXHjxjRmzBi6e/du2c5SU4l+/PFjG5Oi2rVpeloaDW3dmrXr46mY+Ph4at26NWlra9Ply5e/ybZJ\n58+fJzs7O6UYGw0aNIiOHDnCtYxKSWJiIjk5OVFoaChdvHiRZs6c+dlYQyAQlLpNQ1VVlYKDg2n2\n7Nn0/v17sf0VFxdTWloaRUdHU3BwME2ePJn69OlD1tbWpKWlRX379qUNGzZQoZjjHXxD9S00NDRo\n0aJFdPnyZTp9+rTypyFzV4+KpzRSUlIwa9YsmJiYwNHREdu3b5esEm0VJScnB7Vq1YJQKORaivKQ\nkoLUPn2Qo6ZWUrlUS6ukObkcyst36tQJsbGxchBZPomJiTAxMeGklURUVBRMTEzw9OlThfl8//49\nDAwMkJiY+NnnLVq0wIULFxSmg0dx/P777/Dy8mLF9vPnz2FpaVlmG5MOHTqI/Xv85s0bLFq0CCYm\nJujRowciIyNRXFz8/wPKqABaXK1apa0A+i2wbds2CAQC7Nq1i2sprDJt2jQsWLCAaxkASp7jmpqa\nyMzM5FpKpaGwsBDz58+HQCDAhg0bPn+2fML58+fRsWPHMu2MGzcOkyZN+uwzhmHw/PlzxMTEYPPm\nzZg+fTr69+8PW1tb1KxZE3Xr1kXXrl0xfvx4rFy5EsePH0dSUhIKCwv/b0SMdohCIuzR1cW6devK\nboFYSWEYBkeOHEG9evUwbNgwpazkzQe0SkBBQQH27duHrl27QiAQYOrUqUhISOBaVqXin3/+gYOD\nA9cylI4FCxYgICBA7nbbtWunsBY3HTp0wLFjxxTi60sCAwPRpk0b5OfnK8TfvHnzMGLEiK8+nzNn\nDmbOnKkQDTyK5c2bN9DW1sa///4rV7tv375F06ZNsXjx4jKP8fX1xdq1ayWyW1BQgJ07d8LOzg62\ntrbYtGkT8u/eVVifap5PKKcnZm5uLkaOHAlbW9sqMZ5o2rSpwnqXi4OLiwv27dvHtQzloILerVeu\nXEGzZs3Qt29fPHnypFxTiYmJaNiw4VefMwyDN2/eICoqCpqamhg7diyGDBkCe3t71K5dG4aGhnBy\ncsKoUaMQGBiIw4cPIz4+Hrm5ueJfQwXPOEZDA5d27cKgQYOgq6uLCRMm4N69exL/uJSZnJwczJ49\nG/r6+li5cqVSLSLxAS2H3L17F1OmTIFAIED37t2xf/9+FBQUcC2rUrJx40aMHDmSaxlKx+DBg7F3\n7165223ZsiWuXbsmd7ulsXXrVvTv318hvr6EYRgMGTIEI0eOBMMwrPp6+/Yt9PX1kZqa+tV3V65c\nga2tLav+ebhj2LBh+OOPP+RmLysrC23atMHPP/9c7n27du1aqfs9MwyDv/76C/369UNIzZoQqaqW\nH9Cqq5dkiPDIh3J6YhbXqoXx9evjhx9+QHZ2NtdKWefZs2fQ09NDUVER11I+snXrVgwZMoRrGdxT\nzn3KaGhg88CBMDIywt69e8V6x6ampkJbWxv79u3D/Pnz4enpibZt20JXVxc6Ojpo06YN2rRpg/r1\n62PPnj24du0a3r9/z+q1FFerhlwVFbzbvfvjoU+ePMEvv/wCIyMjdOvWDUeOHOEk04wt7t+/j549\ne5beT72CCQy24ANaBZOTk4Nt27ahQ4cOMDExwezZs0sdwPJIhp+fH1avXs21DKXDxsYGd+/elbvd\nZs2aIS4uTu52SyMrKws6Ojp4+fKlQvx9SU5ODpo3by7xSpakzJw5E+PGjSv1u+LiYhgbGyM5OZlV\nDUoJRy9HRRITE4NmzZrJZdIkLy8PXbp0wfjx4yu0Fxsbiw4dOsjss6h27fKD2Q9/tLRk9sUDsVaL\nhNWrg6kiz4tt27bBw8ODaxmfkZ6eDi0tLeTl5XEthTvEuE/zq1XD2y9W1vPy8hAfH4/Q0FAEBgZi\n9OjRcHJygpGREWrVqgUiwuDBgzF79mxs374dFy9eRHp6+sfnXVFREezt7dlZIU9JKZmY09L6bCtX\n8NSpaNeu3VfZXAUFBdizZw86dOiAunXrYvHixXj9+rX8dXEAwzAIDQ1FvXr1MHz48JI05HImMNje\nesIHtAqAYRhcv34d48aNg66uLlxdXREeHv5NzdZwTYcOHb6eJarifNhXzMZ91qhRo6/2ebLJ6NGj\nsWzZMoX5+5LU1FQYGhri8u7drARXL1++hJ6eXrn7dX18fPD777/L5KfSweHLUZEwDAMbGxuZ0/gL\nCwvRt29fDB8+vMw9aJ/y77//QlNTU6xjy0VFRbyAVlVVNj88JYixn68qrYh///332Lp1K9cyvuK7\n775DWFgY1zK4Q4z7tLhaNdxydMT48ePRrVs31K1bFzVq1ICtrS3c3Nwwffp0bNq0CTExMXj27BkY\nhoGOjg7evn1brusLFy7A3NxcYRkKH7K5vLy8ypxIvHnzJsaMGQMdHR388MMPuHTpEuuZX4ogJycH\ns2bNQisdHQgrei6xuPWED2hZJCMjA+vWrYO9vT0sLCywaNEiPHv2jGtZ3xzFxcWoU6eO3PegVXau\nXLnC2r5iS0tLha4WXrx4EQ0bNuT04X9j0SLkEoFRU5N7cDVp0iRMnjy53GOOHTuG7777TmoflQ4x\nZve/pX2Zy5cvx6hRo6Q+v6ioCEOHDoWrq6tE+5rMzMzw8OFDqf0CKJnY4VdoFQf/8/5IUVER9PX1\nK9x7yQVr164ttSZClUHM+zSvenWsXbsWJ0+exMOHDytMHbe2tsb9+/crdO/p6clKDZGyyMnJgYOD\nA4KCgso97t27dwgKCoKlpSVatmyJkJCQb2Il/99hwyCsaHKTxYk2PqCVMwzD4Pz58xgxYgS0tbXh\n4eGB6Oho2WfAecrkwYMHqF+/PtcylI4tW7bA29ubFdvm5uZ4/PgxK7ZLg2EYNG7cGOfPn1eYz89g\nMbh68uQJ9PT08OrVq3KPy83NhaamZtWZuKliq1CvX7+Gjo6OVPu9GIaBj48PnJ2dJS5g1rt3b4SH\nh0vs8zP8/FD85UTPN/x/xTn8ivhHrl27prT1BZ4+fQo9PT2lKpyjUFi6T9u1a4eLFy9WeNyLFy+g\nr68vVvArLx4/fgwTExNERUVVeGxxcTFOnDgBFxcX6Ovrw9/fHymVeYKW44k2vg9tWXzRT4+0tEr+\nnZpa6uFv3ryhlStXUpMmTWjs2LFkZ2dHycnJdODAAerRowepqvI/araIi4sjOzs7rmUoHfHx8dSi\nRQtWbCuiD+2nqKio0JgxYygkJERhPj9j5UqiipqKi0REq1ZJbHrRokXk6+tLRkZG5R6noaFB3333\nHUVFRUnso1Kye7d4P/NduxSjh2UMDQ2pZ8+etGfPHonOA0AzZsygO3fuUHh4ONWsWVOi81u0aEF3\n7tyR6JwvievenQqKiso/SF2daOpUmfzw/Ie4vS6/oZ6YZXHq1Cnq1asX1zJKxdzcnGxsbJS7dyeb\nsHSfltWL9ktMTEwoICCApkyZQgAk8iEt9erVo4MHD9KIESPo/v375R6rqqpKLi4udOLECbpy5Qqp\nqKhQu3btqG/fvhQZGUkMw3x9koSxiULJyZHvcRLCR1mlERVF1KIF0datRNnZJXMK2dkl/27RouR7\nImIYhk6fPk0eHh5kY2NDd+7coS1btlBiYiJNmzaNDAwMOL6QqsHt27fJ3t6eaxlKB9sBbfXq1Vmx\nXRZeXl509OhRysrKUqhfImItuEpNTaXQ0FCaMWOGWMe7urrS8ePHJfJRaRHzpYfsbLp27Rrl5+fL\n5k8JBgpjx46lzZs3SzT4Wrx4MUVHR1NkZCRpampK7LN58+YyBbTXr1+nnn5+dGfePCINjZLA9ROK\nVVVLPj98mMjKSmo/PJ/g6fnVz/kr1NWJvLwUo4dDlDmgJSIaPHgwHTlyhGsZ3MDSfaqvry9WQEtE\nNGnSJEpLS6OIiAiJfMiCk5MTLVmyhPr370/v378X6xwrKytasWIFPXnyhAYPHkxz5syhhg0b0sqV\nK+nff/8tOUjM2IQzuJ5oY2XdtzIjRmphca1aCJ46FRYWFnBwcMD69euRkZHBtfIqS9++fXHkyBGu\nZSgVDMNAV1eXtWp6derU4aRp/IABA7BlyxaF+2UrdcrLywvz588X+/gXL15AR0enaqSwiZm+lKuu\nDjs7O9SsWRNNmjTB8OHDsWzZMpw6dUr8+19Jik8VFxfD0tISV69eFev4NWvWwNraWqYK4Ldv35Y6\nZfPGjRswNDT8f8ryFxVAi+rUwZYaNb6qYsojI1Vsf3lZZGZmok6dOuL3EuWA5ORkGBkZKVVLIYXB\n0n06depUrFixQuzjo6OjYWlpqbB+8h+YOHEievfuLdX/PcMwuHTpEn744Qdoa2sjYMgQFNWsqdy/\n8xxvE+ID2i8R4z+kkAgxTZvi+vXrXKvlQcl+Tr710ec8ffoURkZGrNmvUaMGJ0UMjh8/jvbt2yvc\nr7jBlbBWLbH3yyckJMDAwEDiiYE2bdrg7Nmz0lxF5ULCl2NBQQFu3bqF7du3Y8qUKfjuu++go6MD\nExMT9OnTBwEBAdi/fz+SkpI+H2AoWXAQGBgIHx+fCo/bvn076tati7S0NJn8FRQUoGbNmhL3QL99\n+zaMjIwqnEycMmUKxo8fL4tEntL4bxJG9MVkm0hF5ZuqAF4eYWFh6N69O9cyKqRFixY4d+4c1zK4\ngYXJwsWLF0tc7GngwIFYuHChxL5kQSgUomvXrpgxY4ZMdl69eoVrbduisKIxCNd1Cjh+l/IB7Zfw\n1QMrFW/fvoWWlhZfdOsLTpw4gR49erBmX1VVlZMZZ1FSErZraJT0vVRkT1I/PzBitB84YGCAJk2a\n4M8//6xwFXXIkCFStSJauHBhhRWRvwnk8HJkGAaPHj1CWIcO2fMAACAASURBVFgY5s+fj4EDB6JB\ngwaoXbs22rdvj3HjxuFO585KVdDo5cuX0NHRKXei4/DhwzA2Nsa9e/fk4rNp06a4deuW2MfHx8fD\n2NgYBw8erPDYd+/ewcDAgJV+2FUd4b172Fy9Ooo1NQFVVRRramJz9ep4f+MG19IUwo8//ojly5dz\nLaNC5s+fjylTpnAtgzv+y9worlMHxR/Gzz/9JPV7e+PGjWJN+n1KWloa9PT08OjRI6l8Ssvbt29h\naWmJP//8UzZDlSU2KWOije9DywV89cBKxdmzZ+Hk5MS1DKVjyZIl8Pf3Z8V2UVERVFRUWLFdLh8e\nlKqqCn9QIiUFhWL0V2OSkxEdHQ1nZ2fUr18fwcHBpa5k37x5EyYmJsjJyZFYSlxcHBo0aPBN9K+r\nEJZSgTMyMhAbG4s//vgDeRX9v3IwUBg0aBA2btxY6ncnT56EgYEBbt68KTd/33//vdgDrrt378LY\n2Bj79+8X2/7q1avRp08faeXxlEFsbCxatWr12Weenp6VIsiTipSUz/qAZ6mo4I2Hh9KnVt+5cwf1\n6tWrGs/scnj79i10dXVltnPo0CEMHDhQ4vN+++03uLu7y+xfUu7evQsDAwNckWXrRSWKTZjkZGzT\n0ICodm25TGCICx/Qfom4+7bU1HD8+PGqsZdNiVm5ciUmTJjAtQyl4/vvv8fOnTtZsZ2fn4/q1auz\nYrtMOE5luXTpEobp6KC4Vi2xg6vLly/Dzc0NxsbGWLp06Wcrbv369cMff/whlRaGYVCvXr2qs+L1\nxb5Mub8cxRwoFBPBx8cHy5cvR1hYGBITEyVO0xWX2G3bcMDA4OPA/UMmwrX9+yEQCHDhwgW5+lu8\neDGmT59e4XGJiYkwMTHBnj17JLJfWFgIGxsbnDx5UlqJPKUwc+ZM/Prrr599du3aNdSrVw8ikYgj\nVSxRxuQWo+B97tLAMAxsbGyq/Da1vLw81KxZU2Y7MTEx6Ny5s1T+LSwscObMGZk1SEp4eDjMzMzw\n/Plzic7Lzs5GSEgIcqpVU7qJ17JISUmBqakphEIh1NTUFJbNx1c5/hIxqrJBXZ0eOjpSYGAgmZmZ\n0eTJk+n69esEQEEieT7AVzgunfj4eNZaGXFR4ZjNtjkVkZOTQ15eXuQeEkKqd+4Q+fp+XgnX15co\nPp6oT5/Pzmvfvj2Fh4dTdHQ0xcfHk6WlJc2ZM4eioqIoLi6OfH19pdKjoqJCbm5udOzYMXlcnvJj\nZUUUHEyUmUlUXFzyd3Cw/CrmillxkdHQoNatW9OrV69oy5Yt1L9/f9LW1iYrKyvq06cPTZ48mdav\nX09nzpyhJ0+elN5yQRyioqjThAk04M2bzypZMlu2UJPvv6dTU6aQo6OjdLbLQJxKx/fv36cePXrQ\n0qVLafjw4RLZr169Oi1fvpz8/f2pqKL2PjxiExkZSX2+eO60bt2azM3NKTw8nCNVLJCaSuTuTpSX\n99V7QEUkKvnc3V05WpeUgoqKCg0aNIhCQ0O5lsIpNWvWpMLCQumfjf+hr69Pb9++lfi8WrVq0apV\nq2jixIkkqmg8IWfc3Nzoxx9/pIEDB1JBQUG5xwKgy5cvk4+PD9WtW5fCwsLodY8ehApikyIVFSr0\n8JCnbKk4f/48derUidTV1UlPT4/S09MV41ghYXNlQsKVoOTkZMybNw8NGjSAra0tlixZgsePH3N8\nEVWHFi1a4Nq1a1zLUCry8/OlKvIiLvJKG5IIDvePjBs3DiNHjpTZTkpKCsaNGwc1NTV07doVT548\nkdrWqVOn0KFDB5k18UCmyoxCoRD379/H8ePHsXLlSowbNw7Ozs4wNTVFrVq10Lx5cwwePBizZs3C\njh07cOnSJbx9+7ZsLRxlIjx69AimpqZlfv/gwQOYm5tj27ZtUvtgGAZdunTBpk2bpLbB83+ePHkC\nfX39Ulc/9u/fj06dOnGgiiU4rp4qD65evYqGDRtW+bTjWrVqSbXV5lOeP38uddFLhmHQq1cvrFy5\nUiYN0voeOnQovLy8Sr0PXr9+jaCgINja2sLGxgZLly7FixcvSr4U491QoKaGzmZmcs/gkZTRo0cj\nODgYQMkYXZ7bY8qDD2hLQ4p9WwzD4MKFC/D19YWenh6cnZ2xfft2ZGVlcXABVYMP1Tm5qLarzNy8\neRPNmjVjzf7Lly9haGjImv1SETMtlJHz/pGIiAhYWFjIrUVRTEwMLCwsMHXqVOjq6mLUqFFISkqS\n2E5BQQG0tbVZa8tUpWApiMzOzsbNmzexf/9+LFiwAJ6enmjbti20tbWhp6eH9u3bY8SIEVi0aBEO\nHjyIuLg4CMeO5WTgzjAMtLS0Sg22U1JSULduXbm0y7px4waMjY3596Ic2LRpE4YPH17qd0KhEObm\n5gobSLJOZSmIUw4Mw8Dc3BwJCQlcS+EUfX19pKeny2SjoKAAampqUk8OJCUlQV9fX6Z2Z9KSm5sL\nBweHj22HRCIRIiIiMHDgQGhra8Pb2xvnzp0r/drEiE3Cw8NhZGSEefPmcbbtwMbGBnFxcQCAXr16\n4cSJEwrxywe0ZZGSgtxRo5D5YZAswb6t/Px8HDp0CG5ubtDW1sbw4cMRFRX17e1p4Zhbt26hSZMm\nXMtQOnbs2FHmQEcePH78GObm5qzZLxUxBzSZKioYMWIE/vzzT4n3qnxJeno6TExM8Pfff8vlEhiG\ngaOjI3bt2gWgpPrr/PnzYWBgAHd3d9yQsDKpu7u7TCtmPJ+gwD60DMPg9evXOH/+PEJCQjBz5kwM\nHDgQTZs2RaY4g3aWBu4dO3ZETEzMZ589fPgQ9erVK7NAlTR4e3tj9uzZcrNXVRkwYAB2795d5vdL\nliyBt7e34gSxSSUqiFMekyZNwoIFC7iWwSl169aVSxZjnTp18P79e6nP//nnnzFixAiZdUjDkydP\nYGBggKFDh8LMzAzt2rXD5s2bxZs4F6OmxPPnz9G9e3d07NgRDx8+ZPFKvuZDlf4PnUe8vb2xdetW\nhfjmA9pyOHnyJJydnWWykZ6ejrVr16Jt27YwNjbGtGnTcOvWrSqfdiIPtm/fzmrgVlmZNm0ali5d\nypr9lJQUNGjQgDX7pSJGyhmjro6MH37Axo0b4e7uDj09Pdja2mLixIkIDw+X6OXHMAwGDhwoc/+4\nT4mKioKtre1XKYLZ2dn4/fffYWZmhl69eiE2Nlas58Off/6JAQMGyE1flYft4lNiwHCUiQCUpNZ/\nWqjs0aNHsLCw+Jg6Ji+ePXvGSfuMb4mCggJoaWnhzZs3ZR7z9u1b6Ojo4NWrVwpUJn/evn2Lgho1\nKv0KLVBSldre3p5rGZzSsGFDubQbq1+/PlJTU6U+PysrC2ZmZrh48aLMWsQlNzcXu3bt+tgjvVat\nWjh27BgrvoqLixEUFASBQCBxET9ZOHToEPr27fvx3wEBAVi0aJFCfPNFocrh1q1b5ODgIJMNAwMD\nmjBhAl25coViYmKoVq1a1L9/f7Kzs6MVK1bQixcv5KS26hEXF8da4aPKTHx8PLVo0YI1+5wUhfL3\nr7Aggoq6OunMn0/jxo2jQ4cOUXp6Ou3atYvMzMxo7dq1ZG5uTh07dqS5c+fSuXPnSCgUlmnrzz//\npJSUFFq4cKFc5AOgOXPm0IIFC6hatWqffVenTh2aOnUqpaamkru7O40ePZqcnJzoxIkTBKBMmy4u\nLvTXX39VWGCCR0zYLj4lBipiFqjKZhhyc3OjNWvW0N27d8u9T8SlRYsWHwtDPX36lLp27UpTpkyh\nn376SWbbn2JmZkYTJkyg2bNny9VuVeLChQtka2tLAoGgzGP09fXJ3d2dNm/erEBl8uPBgwf0448/\nko2NDV1s0IAYNbXyT1BXJ/LyUow4KXF0dKQXL17Qw4cPuZbCGRoaGpSXlyezHYFAIFVhqA9oamrS\n8uXLaeLEiVRcXCyznrIAQNevXyc/Pz8yNzenPXv20E8//USvX7+mtWvX0vTp0+n9+/dy96uqqkr+\n/v506tQpWrBgAY0YMYKysrLk7udLzp07R507d/74bxMTE3r58iXrfomI+IC2HG7fvi1zQPspjRs3\npkWLFlFaWhqtXbuWkpKSqGnTptSzZ0/avXs35ebmys1XVYCvcFw6bAe0QqGQ1CsILuWOlRWFe3pS\nvqrq14GtujqRhgbR4cOfBR/VqlWjVq1a0cyZM+n06dOUnp5OCxcuJJFIRP7+/iQQCMjFxYV+//13\nio+P/1h58dGjRzR9+nTavXs31ahRQy7yw8LCiGEYGjRoUJnH1KhRg3x8fCgpKYkmTpxIs2fPJnt7\ne9q/f3+pL1z99+9pR+3aVE1P7/8Vl3/8UWkrffKIgRhV9kldndRGjaIffviBEhMTacCAAWRsbEzD\nhg2jrVu3SjdYTk2lAadP06pt2wiqqqRTvz6FGhvT5H79pLuOCpgxYwb9/fffdPXqVVbsf+tERkaS\ni4tLhcdNmjSJNmzYUO7knTIBgGJjY6l///7k5OREAoGAEhMTqWtEBKlWMIlapKpKNHWqgpRKR7Vq\n1ah///505MgRrqVwhrwCWn19fXr37p1MNoYNG0a1a9emrVu3yqznS969e0d//PEH2dvbk4eHB5mZ\nmVFcXBxFRUWRu7s7Va9encaMGUO9e/emYcOGsRZUt2zZkm7cuEE1a9YkBwcH+ueff1jx84EPFY4/\nYGxsrLCAlk85LoeGDRvizp07rPrIzc3Fvn374OLiAm1tbYwYMQKnT59WWN+mygrDMN9EOpW8efny\nJfT09FhNab9+/TocHBxYs18aFy5cgKGhIZ7ExMgtLfTdu3c4fPgwxo8fD2tr6497WmxsbDBr1iy5\naS8qKkLTpk0REREh0XkMwyAiIgIdO3aElZUVNm/e/P/K1f/t+SxSVWV9zyePApGyQNWjR4+wbds2\n/PDDDzA2NoaFhQVGjx6NPXv2VFz45L97iVHA/uFP2bZtGxwdHfntN1LQuHFjsav7d+3atdy9tsqA\nUCjEnj170KpVKzRq1AgbN25Ebm7u5weVs8+9uGZNDNXSwrlz57i5AAmIioqq0hXqu3fvjujoaJnt\nDB8+/GM9Clm4ffs2DA0Ny68+LybFxcWIjo7G0KFDP9bPOXv27Mf9pKUhEonQrVs3sfqAy0poaCgM\nDQ2xcOFCVmKM9+/fo3bt2igsLPz42blz59CxY0e5+yoNPqAtg+zsbGhoaCi0kNOrV6+watUqtGzZ\nEmZmZvj5559ZD6grK48fP4axsTHXMpSOU6dO4bvvvmPVx+XLl9GuXTtWfXzKy5cvYWZmxnqlvEeP\nHmHIkCEwMDCAgYEBrK2tMX78eBw+fBjv3r0T31BKSsmeX01NQEUFwlq1cNjQEExyslS6GIZBbGws\nevXqBTMzM2ydNQsMB61deBREGQP3YjU15Kqo4O+ZM8s9nWEYJCYmYu3atRgwYAB0dXXRpEkTTJw4\nEWFhYcjIyPj/wRy1CQJKJnrs7Oxw6NAhudv+lnn48CEMDQ3LHSR/Snh4ONq0aaOUEwcZGRlYvnw5\nzM3N4ezsjOPHj5d/XeXsc4+OjoahoSESExMVdwFSUFhYCF1dXZmLFlZWXF1dERYWJrOdiRMnYtWq\nVXJQBPz000/w8/OT+vxHjx5h3rx5qFevHhwcHBAcHIx///1X7PPfvn0LKysr7Ny5U2oN4vL06VM4\nOzujU6dOcm8xGhkZ+dX4Mzk5WWE1V/iAtgwuXryI1q1bc+b/7t27mDlzJszMzODg4IDff/+dX438\nhPDwcPTu3ZtrGUrHihUrMHnyZFZ9xMbGwsnJiVUfHxCJROjSpQvmzp3Luq+4uDgIBAKkpaWhuLgY\ncXFxWLlyJfr06QNNTU20bt0aAQEBOH36dNmtosoKRqpVk8tq140bN3DS0hKFFRVHUfKejDwV8MXA\nPVddHbccHZFw7BgEAgGuX78utqmioiJcu3YNy5YtQ8+ePaGpqYk2bdogICAAT1xdv16ZVeC9dObM\nGVhaWrLWM/tbZN26dRJVLy4qKoKlpSUuXbrEnigJSU1NxaRJk6CrqwtPT0+5tRfasWMHLCwsOGnH\nIgmenp5Yt24d1zI4YejQodi7d6/Mdn777TfMmTNHDopKsrUMDQ0lug8LCgqwf/9+9OjRA/r6+pgw\nYYJM9/Hdu3dhYGCAf/75R2ob4lJUVISlS5fCwMAABw4ckJvdWbNm4ddff/3ss+zsbNSqVUshE2p8\nQFsG69atw9ixY7mWgaKiIpw5cwYjRoyAtrY2+vTpg3379lX53qsLFizAzApWKqoiXl5eCAkJYdXH\nmTNnZK7+LS7Tp09Hr169WE/BLygoQPPmzbF9+/ZSvy8sLERsbCx+/fVXdOjQAbVr10a3bt0QGBiI\na9eulehT1GrXN9CTkUcyTp48+TErIjQ0FHXr1sWLFy+kslVQUIDY2FjMnTsXOdWqcX4vubq6Iigo\niDX73xp9+/aVeBC6atUqDB06lCVF4nPx4kUMHjwY+vr6CAgIwLNnz+TuY8GCBWjZsiWys7Plblte\nHDlyBF27duVaBieMGjVKLm1cgoODMX78eDkoKmHz5s1ibYGIi4vDpEmTIBAI0K1bN+zduxf5+fly\n0XDs2DGYmZmx8ntRGlevXoW1tTVGjRoll98XJyenUtPJZW2xJC58QFsGPj4+SjeDlpOTg927d6Nn\nz57Q0dHB6NGjERMTI3bq0bfEoEGDsG/fPq5lKB12dnZi762SmP9SaYUaGigmKgms/PxYS209dOgQ\nLCws5LK3pSJ+/vlnDBw4UOxZxPfv3yM8PBwTJ06Era0t9PT0EGVpiaKKAgR5rHZ9Iz0ZecRHKBR+\nzB4AgPnz56Ndu3YyD6TEbRPE5r2UlJQEgUBQbgsanhLy8vKgqakpUTojUPK80tXVxdOnT1lSVjYi\nkQgHDx5E+/btYWVlhbVr17IabDIMgzFjxsDFxUWhW8YkITc3t8K2S98qP/30E9auXSuznX379mHI\nkCFyUFRCUVERWrVqVeq+3IyMDKxfvx6tWrWCubk5fv31V9b6uy5ZsgRt2rRR2KJVdnY2Ro0aBWtr\na1y9elVqO/n5+ahdu3apv9s2NjZyadVUEXxAWwatWrVSqhSdL3n+/DlWrFiB5s2bo169epg9e7ZC\nbhhlwdLSskpdrzgIhULUrFnz62Ia8qCcghxsFI65d++exKmV0hIbGwsTExOkp6dLbePZs2corFlT\nMatd/AptlWTs2LFYvnw5gJJB+5AhQ+Dl5SV1Kte7d++Q/WVRMY7upQkTJmDChAms+vgWiIqKknq7\nx8SJE+Va7K4iMjMzsWrVKlhYWMDJyQlHjhxRWLFLoVCIXr16wdfXVyn3DgPA4MGDsW3bNq5lKJzp\n06dj2bJlMtuJjo6W+yr35cuXYWpqiszMTDAMg5iYGHh6ekJbWxtDhgzByZMnWb+HGYbB999/D09P\nT4XeuwcOHICBgQECAwOlusZz586VuU2zU6dOiImJkVFhxfBte0pBJBJRYmIiNW/enGspZWJqakrT\np0+n+Ph4OnbsGBUWFpKzszO1bduWgoODZerPpexkZWXRq1evyMbGhmspSsX9+/epfv36pKGhIV/D\nqalE7u5EeXlEItHn34lEJZ+7u8utXUxOTg4NGjSIAgMDqVWrVnKxWRZZWVnk7e1NmzdvJgMDA6nt\nmJmZUfXCQvEOzsmR2g8Rid3aRdl7MvJIhoeHBx08eJCIiFRUVGjHjh109+5dCgoKkthWRkYG9ezZ\nk+KaN6+wv7Mi7qV58+bR/v37KSkpiVU/lR1x2/WUxsSJE2nr1q2Un58vZ1Wf8+TJE5o+fTo1aNCA\n/vnnHzpw4ACdP3+eBg4c+FUPbrZQV1enQ4cO0bVr1ygwMFAhPiVl0KBBFBoayrUMhaMsfWhLo337\n9uTo6Eh9+/YlGxsbmjhxIrVq1YpSUlLo4MGD1KtXL9bvYRUVFQoJCaHExESpnu3S4uHhQdevX6fI\nyEjq0aMHPXv2TKLzv2zX8ymK6kXLB7SlkJSURPXq1aM6Yja55xo7OzsKCgqip0+f0sKFC+ny5ctk\nbW1Nbm5udPjwYSooKOBaolyJj4+nZs2aKezlWFlgrf/sypVfB7JfIhIRrVolsysA5OPjQx06dCAf\nHx+Z7VXElClTqGfPntRPHv02xX1eyPpc8fcXL6BV8p6MPJLx3Xff0ePHjz/2mdXQ0KDw8HBatWoV\nRUZGim0nMzOTevXqRU5OTtTx8GFSUYJ7SSAQUEBAAP3888+s+qnsREVFSR3Q2tjYUNu2bWnPnj1y\nVlXCtWvXaNiwYeTg4EBERDdv3qT9+/dT27ZtWfFXEZqamhQREUGbN2+m3bt3c6KhPPr160fnzp2j\nrKwsrqUoFGXqQ/sBoVBIR44coX79+tHp06fp+vXrtHjxYoqPj6cpU6aQQCCQix9x0dDQoLCwMImf\n7bJSr149iomJoa5du1KrVq0k6pfMB7RKyu3bt8ne3p5rGRKjpqZGvXr1oj179tDTp09p8ODBtGHD\nBjIzM6Nx48bRhQsXCADXMmUmLi6O7OzsuJahdLAW0O7eLV5Au2uXzK7WrFlDycnJFBwcLLOtijh6\n9CidO3eOVq5cKR+Dilo5tbIiOnyYSEPj69U1dXUiDY2S762sZPPDo1SoqanR4MGDP67SEhHVrVuX\nQkNDaeTIkXTv3r0KbWRlZVHv3r2pXbt2tGrVKlKxtv54L31574pUVEiorq6we2nChAmUkJBAZ8+e\nZd1XZSQ5OZny8vJkesZPnjyZ1qxZI7dxQHFxMYWFhVGnTp1oyJAh1LZtW0pLS6OgoCCqX7++XHzI\ngqmpKZ04cYL8/f3pr7/+4lrOZ2hpaVGnTp0UGrAoAxoaGnLJEvgQ0MpyL9+7d4+mT59OdevWpTVr\n1pCHhwc9f/6cAgMDaevWrTJrlIW6devS4cOHaeTIkQrNXKlWrRrNmTOHwsPDacaMGeTr60u5ubnl\nnlNcXEyXL18mJyenUr83NjamV69esSH3c1hPaq6ETJ06FUuXLuVahtx48uQJAgMDYWtrC0tLS8yd\nOxfJUvbEVAaUsWAXZ3zS87SYCMJateRfqElBhWPOnz8PQ0ND1ootfMrLly9hZGSEixcvys+oont6\npqTgvacnMlVUvurJyPNt8tdff8HBweGrz7dv3w5ra+ty+yVnZWWhY8eO8PPz+3pvVin9PbO9vdFG\nTw83btyQ92WUyaFDh2BnZ6ewvZaVidWrV2PMmDEy2WAYBk2aNMHZs2dlspOTk4Pg4GBYW1ujbdu2\nOHDggNIWYAKAmJgYGBgY4M6dO1xL+YytW7fKtbBRZWDLli0YPXq0zHYYhkHNmjWRk5Mj0XlZWVnY\nunUrOnToABMTEwQEBODBgwefHSMUCtG0aVOEhobKrFNWQkJCYGNjI3EhOHmQmZkJLy8vNGrUqNz3\nwM2bN9G4ceMyv9+xYwc8PT3ZkPgZfEBbCs7Ozjh58iTXMuQOwzC4fv06Jk+eDENDQ3To0AEbNmwo\ndxCkjLRp0wYXLlzgWgb3KKpQk5hFiPKqV8e5c+ekGoy+fPkSZmZmiJRzcanSYBgGffv2xS+//CJ/\n4wounnXs2DH06tVLrjZ5lJeioiIYGRl9NQADgGnTpqFbt24Q3rv3cZILKiqApiYKfXwwtHVrjB07\nVqKq+Lt27ULTpk0V1ieWYRg4Ojqy3nqsMtKzZ0+5DLA3btwINzc3qc599uwZAgICIBAIMGjQIFy4\ncEFpiy59yd69e1GvXj2FtUQRh/T0dGhpaVWpNox79uzB999/L5uR/ybys1RUSiq1V9BxgWEYXLhw\nAaNGjYKOjg4GDBiA48ePlzsJ89dff6GTqSmEY8d+9ixls7NDWUyePBm9evXibNJoz549EAgECAoK\nKvX9sWbNmnLbnJ46dQrdunVjUyIAPqD9CoZhoKuri9evX3MthVWEQiEiIiLg4eEBLS0tDBo0CEeP\nHkVhYSHX0spFJBJBQ0MDWVlZXEvhFkWuBvr5fR2gffGnWE0NV9q0gZ2dHQwNDTF27FhERUWJdT8J\nhUJ07twZ8+bNk12rGGzevBktW7Zk717/b7Ur88PLlsWV08DAQEybNk3udnmUl59++gmLFi366vOi\noiLMadUKBWpqX/2+ColQoKaG4ogIiXwxDIOBAwciICBAXvIr5MqVKzA1NVXqPqKKJicnB3Xq1EFm\nZqbMtnJzcyEQCJAiwfPo1q1b8PLygq6uLiZOnCjRucrE0qVL0aJFC7n8HOWFs7MzwsLCuJahMI4e\nPSr1hAoAiSaNX716heXLl6Nx48Zo1KgRli9fjlevXontJ79aNYi+rATP0uR0eYhEInTv3p3Td/3D\nhw/RsWNH9OjR46se6O7u7vjzzz/LPDcuLg5NmzZlWyIf0H7Jo0ePYGpqyrUMhfL+/Xts3boVnTt3\nhkAgwI8//ojLly8r5cxrQkICrK2tuZbBPWIEmXLpeQpIHDynpqYiKCgIHTt2hI6ODoYPH45Dhw6V\nOUD19/dH7969FdJPOTk5Gfr6+khISGDVD8MwUFdXZ31ly9PTk1/NqmLExsaiRYsWX3+RkgKGhUmu\n169fw9jYWKFt7H744QfMnTtXYf6UnWPHjsHZ2Vlu9paOHYvzLVqUu/JUXFyMiIgIODs7w8zMDEuX\nLuUk7VGeMAwDPz8/9OjRA0KhkGs5AICdc+fiTMOGnK8CKopTp06hR48e0p0sxliE0dDA2c2bMWDA\nAOjo6GD06NGSZxIoevuQGLx79w7W1tbYsWOHwnx+iUgkwm+//QYjIyOEh4cDKPmdMjIy+tgjvTTS\n09Ohp6fHuj4+oP2Co0ePwsXFhWsZnJGWloaFCxeiYcOGsLGxwYIFCxSyp1Fc9u7di8GDB3Mtg3sU\n3Ys0MhLC6tUh/HI/bQWzlS9evMCGDRvQo0cPaGpqon///tixY8fHNPeDBw/CwsJCIWnvIpEIHTp0\nwOrVq1n3lZ+fj+rVq7Pux8HBAf/88w/rfniUh+LiiL5N1AAAIABJREFUYpiamn7dh5vFSa7Dhw/D\nxsaGnR7XpfD48WPo6enh6dOnCvGn7Pj5+WHFihXyMRYZieJatVBY2r2hoYGCo0exceNGNGrUCA4O\nDti9e7fSZ25JgkgkQr9+/TBy5EjuJ+0r+L9Q5Cqgojh37hwcHR2lO1mMZ1whEf7H3n1HRXW8fQD/\nAqLSliJdioCoqIAVC2KLWFBREgULGDWigi3Y0RjUYMMS6y+K2DWCEksU7IINexcFBRWxRqz0ZXef\n9w+UV6QtsHd3YedzjsfD7r0zz5Z7986dmWf2GhlRWFhYxUfySbPDoBzi4+PJwMCALl68KNV6v3f+\n/HmytLQkPz8/unXrFpmbm5d6LAmFQqnc4GcN2u8EBQVxM7euihGJRHTp0iUaN24c6evrk4uLC23c\nuJE+fPgg07imT59Of/zxh0xjkAtSStT0FZ/PJxdTU3r100+FEseUZyjt+/fvafv27eTh4UE8Ho/a\ntm1LGhoaUpuvvmDBAvrhhx+k0hP85s0b0tfX57QOgUBAampqbPi9Apo4cSLNmzev8IMc3+QaMmQI\nTZw4UQLRi2fWrFk0bNgwqdUnr0QiEVlaWtK9e/cqX5gYPU+ZAPl27UoxMTGyb/BxJCMjg1q3bi21\naS7FksNeQGm4du1asYntxCKtG/li1iPQ1JT6/OdDhw6RqampzOeCf/jwgQYNGkSmpqbUq1evMrev\nW7cupaSkcBoTa9B+x93dnfbu3SvrMORKbm4uHThwgH788Ufi8Xjk6elJhw4dksmQnR49etC///4r\n9Xrljpgn3OxatejVq1eVrm779u0SHfL2+vVrqlu3LrVt25Z0dXWpbdu2FBISwln27evXr5OBgQE9\ne/aMk/K/9+jRI7K2tua8DgsLC07rYOTT+fPni85J4vgm17t376hu3bp0+vRpCbyCsn3+/Jna6OvT\nmwEDFGY4ZnHi4+PJwsJCMo1LMXqeRDVqSL3nSRZev35NVlZWspuyIae9gFy7f/9+qRlxSyWtG/li\n1iMEqGbNmmRsbEzt2rWjIUOG0OzZsyksLIxOnTpFjx8/5iSR06JFi6hVq1aUfe9ekQSA0jw/ikQi\n6tChA2lqatLKlStLPUe1atWK89FkrEH7HXNz8yqb8EAa3r17R+vXr6f27duToaEhTZw4ka5evSq1\nO7lGRkZSa5TINTETNZ1u3Jh0dHTIy8uLzpw5U6HPSSgUUpMmTejYsWMSCV0kEpGnp2fBEhS5ubl0\n7NgxGjNmDBkZGZG9vT0FBQXRrVu3JPK9ysrKIjs7O9q1a1elyxLX9evXqVmzZpzWceDAAbHujDLV\nj1AoJDMzs8K9dlLovYiKiqJ69epJZ1TA12kOxV3kV9PhmMVZunQpjR07VjKFSXuqipxLSEggIyMj\n2axqoaCfxdOnTyt+I1bOemiJxyOBQECpqal09uxZ2rZtG82dO5d+/vln6tixI5mbm1PNmjWpXr16\n1LlzZxoxYgTNnz+fduzYQefPn6cXL15UaMSYSCSixZ06UbaKComktKJCSaytrSk6OpratGlDPXv2\nLDHpVt++fWn//v2cxsIatN9IS0sjHo8nlSGJ1cGjR48oKCiIrK2tyc7OjhYuXMhpY/PVq1ekp6dX\nbYdBlUs5hit9/PiRVq9eTY0aNaImTZrQ2rVry5Xl8d9//6XmzZtL7H1fsWIFtWzZkrKzs4s8JxAI\n6Pz58zR58mSqV68eWVtb09SpU+nChQviHZffrMv79Y7lOQcHmti7t1S/NzExMdSpUydO61iwYAFN\nnTqV0zoY+RUQEFA4cZKUenx++eWXUpdokAgFHY5ZnC5dukhuVJKUp6pUBefPnycDAwO6efOmdCtW\n0M+iUtNxpNWrLcF6cnNz6dGjR3T8+HEKDQ2lwMBAGjRoELVp04YMDQ2pdu3a1LBhQ+rZsyeNHTuW\nlixZQnv27KGrV69SWlpa8dctHCUALK8XL16Qnp4eCYVC4vP5NHv2bDIxMaGoqKgi2/r6+tJff/3F\naTysQfuNkydPkouLi6zDqHK+rvE1ZswY0tPToy5dutCWLVskfhf/6NGjEh32WuWVkL5eqKJS7B06\nkUhEp0+fpgEDBpCOjg6NHTuWbt++XWoVIpGI2rVrRxERERIJ+ezZs2RoaFhqRrxv67558ybNmTOH\nmjZtSiYmJjR27Fg6fvx48cPdS3g/cgESqalJtUfnwIED1LdvX07rGDJkCG3ZsoXTOhj5denSJWrU\nqNH/X/BIqRH46dMnsrS05HbNaAUdjvm9T58+kaamJmVkZEimQAXtFSzL3r17yczMjPM5foUo6GeR\nnp5O6urqFdtZWje6pHhDLSMjg+7du0eHDh2i1atXU0BAAHl4eFCzZs1IW1ubtLS0yMHBgfr160e/\n/vorrVq1ih736kXCGjVkfn4MDw8vsgRTbGwsmZub04QJE/I7Lb50MmTXrEkigNNh0axB+41ly5bR\nhAkTZB1GlZadnU2RkZHk7u5O2traNGTIEDpy5IhE5hEsXryYAgICJBBlNfJlzdOviZpyatemk40a\nlXmyePHiBc2bN4/q1q1Lzs7OtGvXrmIz0J09e5ZsbGxIIBBUOtSXL1+SqakpHTlypEL7JyYm0uLF\ni6lNmzakp6dHPj4+tH///vzMq3LWo7N9+3YaOnQop3U4OjrSlStXOK2DkV8ikYgsLCwK3ZR6uWkT\nZQCcD0M7deoUmZmZcbeMi4Je7H9v37591L17d8kVyG4UlGjFihXUpEkTqSS+FIlEdL9Ll6LZjRXg\nsxAIBKSkpFTxEVMl3LgWSXqobWk3yKU4pPf9+/d0/fp1ioyMpKVLl5K/vz9lqKjIxflx3LhxxWZf\nf//+PQ0cOJD86tUjYe3aYq0ZLAmsQfuNoUOH0ubNm2UdRrXx9u1bWrt2LTk5OZGxsTFNnjyZbt26\nVeHyBg8eLNM1uKqCFy9ekI6OjtjLa+Tl5dG+ffuoW7duZGhoSIGBgYV6T93c3GjDhg2VjovP55OL\niwvNnTu30mUREaWmptLatWupa9euxOPx6IiVFQnKOslL8eJg7dq15Ofnx1n5AoGAateuXeLavoxi\nmDp1aqGs/GPGjKHl/v6FbnKVNxu5uMaPH0/e3t4SLbOAgg7H/N6oUaPozz//lFyBcnbjT56IRCKa\nOHEide7cmdPlRV6/fk3u7u7k1rAh8WvWVMjPolatWsVOORLbdzfy01VU6Env3pJ/r76rR8TjUaSx\nMf0TEiLZespLTs6PDg4OJSZ6Ej16JPXvN2vQfqNJkyZ048YNWYdRLSUkJNDs2bPJ0tKS7O3tKSQk\nhF68eFGuMuzs7CrVIFYUrq6uFB4eXu79EhIS6NdffyU9PT3q06cPrVu3joyNjSv3w/PF5MmTyc3N\njZP56WlpaZRbu7Zc3LH8auHChTRjxgzOyn/48CFZWlpyVj5TNVy9epXq169PIpGIXr58Sbq6uvTf\nf/9Jpe6MjAyqX78+7du3T/KFsx5aEolEZGpqSomJiRIt99mGDZQphV78qkggEJCHhwcNGTKEk5wL\nkZGRZGRkRIGBgZSYmEiDtLVJIMUeLHmho6Mj0bXn165dS0OGDJFYeaWJjY0lKysrmazyUUAOzo8f\nPnwgTU3Nkt8HGYwGYQ3aL7KyskhNTa1aLSAuj4RCIcXGxtIvv/xCurq65OrqSjt27Ch5jtCX8fci\nLS0SAiRSwGUbymv79u3Uu3fvCu+fmZlJmzZtIl1dXdLT06OQkBB6+/ZthcuLiIggKysrif6AFSEn\ndyy/mjlzJi1YsICz8vfv309ubm6clc9UDSKRiKysrOjGjRs0bdo0qa4TS0R04cIFMjY2lnwj2s+v\naINLAYZjfuvWrVtkY2Mj8YbVkCFDaN3kyVLpxa+KsrKyqF27dhQYGCixMt+/f09Dhw4lW1tbiouL\no9zcXGrTpk3+cM3vegEV4bMwNTWl1NRUiZX35s0b0tbWFntkWmV169ZNIiPXKkwOpg4cPnyYunbt\nWvIGMmh0swbtF1euXCFHR0dZh6FQsrKyKDw8nNzc3EhbW5uGDRtGJ06c+P/5miXMYajudy8rKz09\nnbS1tSt1kZmcnEx6enp0+vRpGj58OOno6JCPjw9dvHix5AusYjIMvxs0iFrp6tL169crHItY5OCO\n5bf8/f1pzZo1nJUfHBxM06ZN46x8puqYMWNGwcgKqSa1+WL69On0448/SrThJXr0iLLLmkJQTYdj\nfrVo0SKJ5/R48OAB6evrlyvLvSJ6+/Yt2dra0vr16ytd1tGjR8nMzIzGjx9fcON+8uTJ1KdPH4Vd\nUaN+/fr08OFDiZbZvXv3Co1Mq4hLly6RmZmZREavVYgcTB2YMWMGBQUFlbyBDDoZlMEAAG7evInm\nzZvLOgyFoqamBi8vL0RFRSExMRHNmzfHjBkzYGlpiSWjR0P0449AVhaQl1d4x7y8/McHDACSk2UT\nvBzT1NREnz59EB4eXuEyli9fjjFjxqBLly7YsmULkpKS4OjoCG9vb7Rs2RIbN25EZmbm/+9w5Ajg\n4ACEhQHp6fmnqvR0aIaHIy4zEy3evJHAKyuFtzegqlr6NqqqgI8Pt3F88fnzZ2hra3NWfnx8PJo0\nacJZ+UzV4eXlha1bt8Ld3R0WFhZSr3/evHlISEjA7t27JVbmqsOHMd3KCqSuXvS4VlUF1NWByEjA\nxkZidcqb6OhouLm5SbTMP/74AwEBAeDxeBItt7rR19dHdHQ05s6di8OHD1eojIyMDPj5+WH06NHY\nunUr1qxZAw0NDRw8eBCRkZHYunUrlJUV8xJcXV0dWVlZEi1z8ODBEj0HlaZNmzZo3rw5QkNDpVJf\nETY2+ee/Ys6PQmVlZCsrQxgRwen58dy5c3BxcSn2OZFIhLzatcUrSFNTckFJrGlcxfn5+dHKlStl\nHQZDRPfu3aO45s0VMgOgpBw5coScnJwqtO/r169JV1e32AWyhUIhHTt2jPr160d6eno0ceJESjp2\nTOZ3C+XhjuW3+vbtSwcOHOCsfAcHB7p69Spn5TNVR3p6OqmoqNDevXtlFsO1a9fIwMCg3HkRihMX\nF0cGBgb0+PHjguGYWTVrkkhJSSGGYxLlD1HV0tKirKwsiZXJemfL79KlS6Svr1/uc+25c+fI2tqa\nhg8fTh8/fix4/MmTJ2RoaEhxcXGSDrVKadOmjcTfg48fPxKPx+Mu8/p3bt68ScbGxpJbUqsiihmu\nLvTzo8FOThQcHMxZtVlZWaSurl7saz916hS1bNmS9hgY5C8hyebQSl/btm3pzJkzsg6D+UrOhpBW\nNXl5eWRkZEQJCQnl3nfWrFliZehNSUmh2bNn02Y1NeKXNbxEGjcfpJXOXwydOnWi06dPc1J2Xl4e\n1a5dW7Y/pIzcWLlyJTVs2FDmQ9CDgoLIzc2tUkOP3759S+bm5nTw4MFCj48fP55Wr15d2RCrjIiI\nCInPkR86dCin8/qrqwMHDpCpqWn+DZYyZGdn09SpU8nExKTIdzg3N5ecnJxo2bJlXIVaZXTp0oVO\nnjwp8XI9PDwoLCxM4uWWZODAgbR48WKp1Seu1NRUMjQ0pPPnz3NSfmxsbJEOkzt37lCvXr3I2tqa\nwsPDSfjwodQ7GRRzvMN3hEIh7t69C0dHR1mHwgDIy8sDZWSIt7G42ymYGjVqYPDgwdi1a1e59vv8\n+TM2bNiAqVOnlrmthYUFgoODMbxGDagSlb5xXh6wY0e5Yim3Xr2AO3eA0aMBHg9QVka6sjJeuLnl\nP96rF7f1f+Pz58+cDetLTk6GiYkJNDQ0OCmfqTr4fD6WLVuGoKAg7NmzB1TWccih2bNn49WrV9i8\neXOF9heJRPD29sbgwYPh7u4u4eiqFkkPN05ISMDx48cxfvx4iZWpKPr164dZs2ahV69e+HDtGuDv\nX/D7Ah4v/+/kZNy4cQOtWrXCkydPcPv27SLf4RkzZsDIyAiTJ0+W0SuRH+rq6sjOzpZ4udIcdgzk\nT7dYvnw5Pn36JLU6xWFmZoaNGzdiyJAh+PDhg8TLP3v2LDp27AgASE1NxYgRI9CtWzf07NkTDx48\ngJeXF5RtbUscFs3VtBHWoAXw6NEjGBkZcTrnjSlbUlISZs6cCQsLC2SJO7dEkuPvqxkfHx/s3Lmz\nXBe5GzZsQI8ePWBtbS32PkrydPPBxgZYuxb49AkQCrFx6VLM0dWV+lw7Lhu0bP4s89XOnTthZ2eH\nQYMGoXbt2rhy5YrMYlFVVcW2bdswc+ZMPH36tNz7L1y4EFlZWViwYEGxz8uysS5NIpEIR44cQS8J\n3oALDg7Gr7/+yubOVtC4ceMwrWlT1G7TBvRdnggKCwPfzg4hXbogMDAQe/fuhYGBQaH9Dxw4gP37\n92Pr1q1QUlKS0auQH1zMoQWAPn364Nq1a3j9+rXEyy6OnZ0devXqhZUrV0qlvvJwd3dH//79MWrU\nKImfO8+dO4fmzZsjMDAQzZo1g6mpKR4+fIiJEyeiZs2a/79hMZ0M4PHy/+agk4E1aMESQslSTk4O\ndu/eja5du6J9+/YQCASIiYmBxujRcpXkpypq3rw51NTUEBcXJ9b2OTk5+PPPPzFjxozyVSTuTQUZ\n3HwYMmQIDhw4UDiBlRSwBi3DNaFQiCVLliAwMBBKSkrw8vJCRESETGOyt7fH1KlTMXLkSIhEIrH3\nO336NP73v/8hPDwcNWrUKPK8IjUCbt68CT09vXLdVCwN652VgORkjDxyBGoiEZS+S1KplJeHmnl5\n+DsvD0Pbti3yXX3y5AlGjx6N8PBw6OnpSTNquaWmpsZJg1ZNTQ3u7u7Ys2ePxMsuye+//441a9bg\n3bt3UqtTXCEhIXj8+DE2bNggsTIzMzNx9uxZTJw4Ef/99x9u376NBQsWlNwh+F0nAz59yv+bg04G\n1qAFcOvWLTRr1kzWYSiU+/fvIyAgAObm5ti8eTPGjh2L1NRULFu2DI0aNQKmTBGvQRsQIJ2AqyAl\nJSV4e3tjh5hDfXfs2IHmzZvDwcGhfBXJWYbhbxkbG6N9+/Y4cOCAVOtlDVqGa/v374euri46d+4M\nAPD09MTevXvL1ZDkwtSpU5GdnY3//e9/Ym3/8uXLgvOUqakpx9HJP0kPN2a9sxKwfHmRhuz3lAUC\n4M8/Cz3G5/Ph5eWFwMBAtG3blssIqxSuemgB6Q87trGxwU8//YSlS5dKrU5x1apVC+Hh4ZgzZw7u\n3btXqbJEIhF2796NBg0aQFVVFbGxsdi0aRPMzMwkFK0ESGw2bhXm6upKhw8flnUY1V5mZiZt2bKF\n2rdvTyYmJjRr1ixKTk4ueQe2Dm2lpaSkkJ6eHuXk5JS6nUAgoPr169PZs2fLX4mcZRj+Xnh4OLm6\nukqtvpycHFJVVZXoupzfatq0Kffr+jJyTSQSUYsWLYpk0m7cuDFduHBBRlH9v8TERKpTp06Za03m\n5eWRi4sLzZ8/v9TtJkyYQKtWrZJkiPLju/W7M1RU6FnfvhI5Xz548IAMDAxYZuPKqmCSykmTJpG7\nuztnvwVV1eTJkzlLjsXn80lfX1+sJF6S8uzZM9LV1aVXr15Jrc7y2LJlCzVu3JgyMzMrtP/XzMWt\nWrUif39/Gjt2rIQjlAyF76ElItZDy7Fbt25h3LhxMDMzQ2RkJKZPn45nz55hwYIFpQ+rkvL4++rI\nwsIC9vb2iI6OLnW7ffv2wdDQEB06dCh/JaWsiUY1aiALwLWZM2W2ZqS7uzuuXbuGFy9eSKW+r72z\nXAyTzMvLQ1JSUv4oBkZhnThxArm5uejbt2+hx+Vh2DEANGjQAL///jt+/vlnCIXCErebPXs21NXV\nMXv2bClGJ0eKWb9bQyiE2dGj+Y8fOVKp4lnvrIRUIE/E/v37cfDgQTZvthhc9tCqqqpiwIABCA8P\n56T84pibm8PHxweLFy+WWp3l8fPPP6NZs2YIKOeIxrt378LNzQ2+vr6YNm0aLl++jFevXpW4/qzM\nybpFLWvPnz8nAwMDdgdNwj5//kwbNmygVq1akbm5Oc2dO5eePXsm67AUUlhYGHl4eJT4/Nfenn//\n/bdyFRWzJhqNG0fXIiJIX1+fbt26VbnyK2HUqFG0ZMkSqdSVlJREVlZWnJR9//59srGx4aRspuro\n1KkT7dixo8jj9+/fJxMTExIKhTKIqjChUEidO3cu8bg7ePAgmZub09u3b8ssa8KECdVvnXiOR7aw\n3lkJKmcPbXJyMhkYGNDly5dlHLh8WrBgAc2cOZOz8s+cOUP29vaclV+cV69ekZ6entxe53769Ils\nbGxoz549ZW6bmppKI0aMIENDQ1q1ahXl5uYSUf61ooGBgdy+RoXvof3aO8vuoFUeEeHy5csYNWoU\nLCwscPToUcyfPx9PnjxBUFAQzM3NZR2iQvrpp59w6tQpvH//vtjnT548idzcXPTu3btyFZUw+b+l\npyfWrl2Lvn37Sq2X9HvDhg3Dtm3bpJIplc2fZbh08eJFpKSkYNCgQUWes7Ozg76+Pi5cuCCDyApT\nVlbGli1bsHfxYrwbNKjQKJtP3t4IHjECERER0NfXL7Osavn7vHx5/nJmpcnLKzIvU1zBwcGYNGkS\n652VhHLkicjNzYWXlxdmzZoFJycn6cRXxXDZQwsAHTp0wIcPHxAfH89ZHd8zNjaGr69viVnaZY3H\n42H37t0YN25ciVnoP336hMDAQDg6OsLY2LhI5uLExESoq6vL7bW8wjdoWYbjyvvw4QPWrFkDR0dH\nDB06FPXr18eDBw+wb98+9OrVCyoqKrIOUaHp6OigR48e2Lt3b7HPL168GDNmzICyuEslVYCXlxf8\n/f3Ru3dvpKenc1ZPSZydnZGdnY2bN29yXhdr0DJcWrRoEaZNm1ZsNmBAfoYdA0C9Bw8Ql5kJXkRE\noaVO1HftwoX0dLT7+FHWIcrOzp3iNWgrsH53QkICjh07hgkTJlQwOKaQciSpnD59OszMzDBp0iTp\nxFYFcbUO7VfKysrw8vKSanIoAJg2bRoiIyPx+PFjqdYrrtatW2P69OkYMmQI8r459+Tm5mLVqlVo\n0KBBQebihQsXFslcfO7cOfkdbgzWoGXzZyuIiHDu3Dn4+PjAysoKcXFxWLlyJR4+fIiZM2fC2NhY\n1iEy3/D29sbOnTuLPH7lyhUkJSUV29sjaTNmzICTkxO8vLwgEAg4r+9bysrKBb20XGMNWoYr9+7d\nw9WrVzFixIgSt/H09ERkZGSpc1elIjkZGDAAqnw+vm8KqAJQzcsDBgzI304Rcbh+N5s7K2Ff8kTk\nqKhA+P0NelXV/PwRkZH459Yt/Pvvv9i8eXP1HFUgIVz30AL/n+1YGqOyvqpTpw7Gjx+PefPmSa3O\n8po8eTJ4PB6CgoIgEokQHh4OOzs7HD9+HCdPniw1czFr0Mo51kNbPm/fvsXy5cvRuHFjjBkzBi1a\ntEBSUlLBWrJc9vIxFdezZ08kJCTgyZMnhR5fsmQJpk6dCtWy7j5LgJKSEtatWwehUIgJEyZI9YcG\nAHx8fLB79+5Cdya5wBq0DFcWL16MSZMmQU1NrcRtbG1tYWpqirNnz0oxsmJIeEittM8XnONo/W7W\nO8uNp3Z2cNbUhOiXX4pNUvm4YUP4+fkhIiICurq6sg5XrnG1Du23WrRoARUVFVy9epXTer4XEBCA\n6OhoPHjwQKr1iktZWRnbtm1DaGgoGjVqhOXLl2PTpk2IioqCvb19qfuyBq0c+/TpE968eQNbW1tZ\nhyLXRCIRTp48CS8vL9ja2uLOnTvYuHEj4uPjERAQINYcKEa2atasCU9PT+zatavgsYSEBJw/fx6/\n/PKL1OJQVVXF3r17ceHCBSxbtkxq9QL568U1aNAAR48e5bSeT58+lbzIeCXw+XwkJyejYcOGEi+b\nkX+PHz/G0aNH4efnV+a2np6e2LNnjxSiKoUEh9RWy94uMeZlUo0a5V6/m/XOciM0NBQuw4dDdcOG\nInkics3M4OnpidmzZ7N5s2KQRg+tkpKS1NekBQBtbW1MmTIFc+fOlWq94rp79y5GjhwJVVVVpKWl\n4dChQ+jSpUuZ+z1//hwZGRlyvcKCQjdob9++DXt7ezbHswSvXr3CwoULYWtri6lTp6Jjx454+vQp\ntm3bhg4dOlTPi4xqbFSXLrBatgz05e6ypYMDoiwtof7qlVTj4PF4iIqKwqpVq0qc18uVYcOGYfv2\n7ZzWwVUPbVJSEszNzUvtnWOqr6VLl2LMmDFi3Szx9PTEP//8I/Wh/YVwOKS2WhBjXma2QIC7rq5i\nF8l6Z7nB5/OxefNmjB07ttjnp06dCgsLC0ycOFHKkVVNXM+h/Wrw4MGIiIiQ+vSLCRMm4OzZs7h9\n+7ZU6y3N8+fPMXLkSPzwww/o3r07nj59ijFjxmDkyJEQiURl7n/u3Dm5v+5X6AYtG25clFAoRFRU\nFPr374/GjRvj6dOnCA8Px82bNzFu3Djo6OjIOkSmIo4cQbOff8bAT5+g9CU5i1peHlreuiWR9Q7L\ny9zcHIcOHYK/vz8uXrwotXo9PT1x4sQJfPjwQfKFJycD/v74NSgIi0NC8oej+ftXbo7glzLB48Gu\naVPcfvq08mUyVc7r168REREhdqIZa2trWFpaIjY2ltvASsPRkNpqo7T1u7/My7z122/4wdcXJ0+e\nFKtI1jvLjX379qFJkybF9k5FRkYiKiqKzZstB2kMOQaARo0awcjISOrTLzQ0NDBz5kz8/vvvUq23\nON9nLn706BEmTZqEWrVqYf78+fjw4QNWrlxZZjnyPtwYgGKvQzt8+HDasGGDrMOQCykpKfT777+T\nmZkZOTk50caNG+nz58+yDouRBI7XO6yMqKgoMjY2piQp1u3p6Ul//fWXZAuNjs5/D1VVC7+vqqr5\nj0dHy0eZTJU0ffp0Gj9+fLn2CQkJIV9fX44iEoOfX9Hv7vf/VFXz164uw6RJk2jFihVSCFoGvlu/\nO11ZmV7++GPB+fjMmTNkYGBAERERpRbz4MGI3uPXAAAgAElEQVQD0tfXZ+vOcsDFxYX27t1b5PGk\npCQyMDCgK1euyCCqquvu3bvUuHFjqdS1ZMkSmZwHs7OzyczMjC5duiT1uomIcnJyaOXKlWRoaEgj\nR46k1NTUYrd7/PgxGRgY0LVr10otr2nTpnL/PVfoBq2jo6Pcf0Bc4vP5tG/fPurVqxfp6enR+PHj\n6fbt27IOi5E0CV5YcmHdunXUoEEDSktLk0p9hw8fpnbt2kmuQC5uGMjxTQhGut6/f0+6urr09OnT\ncu335MkT0tfXJz6fz1FkZZDgd/jXX3+tvg3a70yYMIGWLl1a6LHbt29T3bp1ac2aNSXuN3ToUAoO\nDuY6PIVz9+5dMjExKXIcZWdnU4sWLWj16tUyiqzqSk5Opnr16kmlrpSUFKpTpw7l5uZKpb5vrV+/\nnlxdXaVap1AopN27d5OVlRW5ubnRnTt3ytwnIiKC6tevX2InVlpaGmlpaVFeXp6kw5UohR1yzOfz\n8fDhQzRt2lTWoUhdcnIyAgMDYWFhgRUrVmDQoEFITU3FmjVr4ODgIOvwGEnjcL1DSfD394e7uzs8\nPDyQm5vLeX3du3dHcnIyHj16JJkCJZzNlbMymSpp3bp1cHd3h6WlZbn2q1evHmxsbHD69GmOIivD\nN0NqRd+tmUuqqshSUsKV6dPzt2MKtG/fHnFxcYUec3BwwLlz57B69WrMmTOnSMbnxMRENneWI+vX\nr8eoUaOKrAQwdepU1KtXD+PHj5dRZFWXtObQAoCFhQUaNWqE48ePS6W+b40YMQJJSUk4c+aMVOqL\niYlBmzZtsGzZMrEzFwP5U7E6d+4Mf3//Yp+/cOEC2rZtW+La5/JCib4/MyqImzdvwsfHB/fu3ZN1\nKFKRm5uL/fv3Y+PGjbh79y58fHwwatQo2NnZyTo0hmvKyvn9IeJsJ6O1K0UiETw9PVGzZk3s3LmT\n8+WfAgICoKWlhfnz51e+MB4PSE8vc7N0ZWV0btYMKioqUFFRQY0aNUr8f+ehQ1AXJ6EPj5efaZOp\nlrKysmBlZYXY2NgKnatXrFiB+Ph4bNq0iYPoxJScjFs//4yGV65ATSjMnzPr44PL7dvjx2nTcPv2\n7TIz5QcEBMDCwgIBAQFSClp2nj17BicnJ7x69arInMy3b9/Czc0NzZo1w19//VVwgenj44NGjRph\n9uzZsgi52srIyICFhQVu374Nc3Pzgsf37t2LmTNn4vr16yyvSAV8+vQJ5ubm+Pz5s1TqW7duHeLi\n4gqt8iAt27dvR1hYGM6cOcPZHOt79+5hxowZePDgARYuXAhPT89yX0NlZWWhVatWmDlzJoYNG1bo\nuWnTpoHH42HOnDmSDFvyZNxDLDObN2+moUOHyjoMzt2/f58CAgJIX1+ffvjhBwoPD6ecnBxZh8VI\nk5ZW6cP+vv7j8WQaZlZWFrVt25Zmz57NeV03btygevXqkVAorFQ5CQkJJBLnvQVIpKRE165do0uX\nLtGFCxfozJkzdPr0aTpx4gQdOXKEDh8+TAcOHKB//vmHREpK4n1mysoSekcYebRq1Sry8PCo8P4v\nzp6lsFq1SKSlRaSklH8u8POT+lD1gQMH0vbt24s8PnnyZBowYACJRKJS91ekIccikYjq1q1LycnJ\nxT7/+fNncnV1pf79+1NWVhYlJCSwubMc2bBhA/Xv37/QY48ePSJ9ff0y5xwyJUhKIsGYMfTpy2+i\nNM5Jb968IW1tbcrIyOCsjpIIBAJq1KgRHTt2TOJlp6am0ogRI8jQ0JBWrlxZ6Wv7O3fukL6+PiUm\nJhZ6vE2bNhQTE1OpsqVBYRu0EyZMoGXLlsk6DE5kZmbS1q1bydnZmYyNjSkwMFCqSXcYOSPGHFqR\nDOfQfuvNmzdkbW1NmzZt4rQekUhETZs2pdjY2HLv+/DhQwoODiYHBwcyMTGhrLLmJ5fjhoFQKKRj\nx45RZo0aVeImBMOd3NxcMjc3r3iehy9JxfjFzZeXclIxMzMzevToUZHHs7OzqXHjxrRr165S9//1\n119p+fLlXIUndwYOHEg7duwo8fnc3FwaPHgwubi4kKenJ5s7ywGRSESOjo6FGiLZ2dnUvHnzUucy\nM6WQYaLD7t270+7duzkrvzQRERHUqlWrMm/cievjx48UGBhIenp6FBgYSB8/fpRIuUT5OU36Nm5M\neaNHE2lpkUhJiT4BlOfrK/c5OxS2QduhQwc6efKkrMOQqJs3b5K/vz/p6emRm5sb7d+/X3YJQRj5\nIUZylixlZfp4/bqsIyWi/GydhoaGdOLECU7rWbp0KY0cOVKsbZOSkmjRokXUvHlzMjIyonHjxtGZ\nM2dIIBBIJOnWy5cvacGCBWRlZUXNmjWjux075t9kkNNEXgz3Nm/eTD/88EPFdpajpGLPnj0jAwOD\nEi/mrl27RgYGBiVm4SQiCggIUKgG7Z9//kl+fn6lbiMUCsnHx4dUVFQoISFBSpEpjri4OLKxsSk0\nisff31+sEQVMMWR8TtqyZQu5u7tzUnZZhEIhOTg40IEDBypVTm5ubkHm4hEjRpR6zqwoUVQUZauo\nUJ6yssxvhJaXQjZohUIhaWlpSS2rKpc+f/5MoaGh1Lp1azI3N6egoCBKSUmRdViMvCnlzqhIXZ3W\n9+tHdnZ25c6kypXY2FgyMDCgu3fvclbHixcvSEdHhzIzM4t9/vHjx7RkyRJq2bIlGRoakp+fH8XE\nxOQ3Yr9VwR9qgUBAR44cIQ8PD9LR0SFfX1+6evVq/sWSHDVIGOkTCATUsGFDOnXqVMUKkKPM5hER\nEWVeSM6fP59cXV1LbCgoWoP28uXL5OjoWOZ23t7e1L17d6pXr16RYYJM5fj4+BTKNh0eHk7W1tYS\n7Q1TKDI+J338+JF4PB69f/+ek/LLcvDgQbK3t6/QNCehUFjw/RM3c3GFVPHrDoVs0D569IjMzc1l\nHUaFiUQiunz5Mo0aNYp0dHSof//+FBUVVfRCm2G+9d16h8Tj5f/95eS0cuVKMjU1pety0lO7c+dO\nsrCwoJcvX3JWR48ePejvv/8u+DslJYWWLVtGTk5OpK+vT6NHj6aTJ0+Wna6+HEOpXrx4QX/88QdZ\nWlpSy5YtacOGDcWny2fr0CqsyMhIcnJyqnhPkBzNm580aRItXry41G3y8vLIycmJ1q1bV+zzitag\nzc3NJQ0NjVLnxX47d3bTpk1kbGys0MsQSlJaWhppa2sXdHo8fPiQzZutLDHPSSIOz0keHh4UFhbG\nWfmlEYlE5OTkROHh4eXaLyYmhlq1akUtW7ak06dPcxTdF3J0I7QiFLJBu3fvXpkNPaiMDx8+0Jo1\na8jBwYGsra1p4cKFnF7sM4rnn3/+IX19fYqKipJ1KERE9Mcff1CLFi0oPT2dk/J37dpFnTp1ohUr\nVlDbtm2pTp06NGrUKDp+/Hj511wr5YaBQCCgqKgo6tevH+no6NCYMWPEuzgq4yYEU00kJeVfTHyZ\ns5SurEzJPXtW/HOWo6RiTk5OdObMmTK3S0hIoDp16tDDhw+LPBcQEFBtc16UxMXFpdRpF97e3oXm\nzh48eJAMDAw4ST6jaJYuXUo+Pj5ElD9vtlmzZrR27VoZR1XFiXlOEgBkYmJCjo6O5OrqSkOHDqWA\ngABatGgRbdq0iQ4dOkSXL1+mJ0+elDi6qiR79+6t+DQOCTh+/Dg1bNhQrGuLu3fvkpubG1lZWdHu\n3bsrncBSLHJ0I7QiFHLZntmzZ6NGjRqYN2+erEMpExHh/Pnz2LhxI/7991/07NkTvr6+6NKlC+dL\nmzCK6eLFi/jxxx8xb948jB49WqaxEBFGjhyJd+/eYf/+/VBRUZFIuS9fvkRkZCR2796Ny5cvw8vL\nC8OHD0fXrl2LrDdYGc+fP8fmzZsRFhYGY2NjjB49GoMGDYKmpqbE6mCquCNHgAED8tcV/mbtYVJV\nhZKqav5arr16la9MMZeS4nrZp+zsbOjr6+Pt27dQV1cvc/s1a9bg77//xrlz5wqteThlyhSYmppi\nypQpnMUqb2bOnAl1dXX8/vvvRZ5LTExEhw4dkJycDB6PV/D4+fPn8dNPP+HPP//EkCFDpBlutSES\nidCgQQPs3LkTbdu2hZ+fH969e4eIiAjOll1RCGKek4jHw8v79/Hff/+V+e/NmzdQVVWFoaGhWP80\nNDRgbm6OBw8ewNjYWAov+rvXRoQhbdrgd01N2F27BmRk5C9j5u0NTJkC2Njg+fPnCAoKwqFDhzBr\n1iz4+fmhVq1aUokNKipQEqdJKMMlHksj36vkcuTWrVvw9fWVdRilSktLw7Zt2xAWFgYA8PX1xYoV\nK8pcr49hKqtdu3Y4d+4cevXqhadPnyI4OFhmN0+UlJSwYcMGuLm54ddff8Xq1asrfFHx6tUr/PPP\nP9izZw/u3bsHd3d3zJkzB3v27EHTpk3Ro0cPicQsFApx5MgRhIaG4vz58xg0aBAOHjyI5s2bS6R8\nphpJTs5vzGZlFXlK6WsDd8AA4M4dwMZG/HK9vYGwsEIN5O+JVFSg7ONTkajFdv36dTRu3FisxiwA\njBs3DgcPHkRISAhmzZrFaWzyztnZGevWrSv2ueDgYEyaNKlQYxYAOnTogFOnTqFXr154+/YtJk2a\nJI1Qq5UTJ05AS0sLbdq0QXh4OE6cOIHr16+zxmxliXFOygOQ1q0b6tati7p165ZZJBEhPT292MZu\ncnIyLl68WOixDx8+QEVFBc2bN4ednV2pjV8jIyNoampK9HNXOnoUO+/ehTAn5/8fTE8HwsJA27Zh\nW58+mHLyJEaPHo2HDx9yvsZxZmYmYmJiEB0djejoaNwFoCXOjnJ6Q14he2hNTU1x8eJFWFpayjqU\nQkQiEWJiYrBx40YcPXoU7u7uGD16NJydndnJlJG6tLQ0uLu7w8rKCps3b5bKXcKSfPz4Ec7Ozpjq\n4YER798DO3cWe3fze2/evCloxN6+fRt9+/aFp6cnXF1dC17PmTNnMH78eNy5c6dSx1lqaio2bdqE\nTZs2oW7duhg9ejS8vLygoaFR4TKZas7fv8yLPKiqAqNHA2vXil9ucjLg4FBsQ/mrLAD/BAXBOyiI\ns9+XpUuXIjU1FatXrxZ7n9TUVLRs2RLHjx9Hs2bNAChmD21aWhrq16+Pd+/eFRqZ8rV3NikpCdra\n2sXum5KSgh49esDDwwMLFy5k1w/l0L9/f7i5uaFz585wdnbGsWPH0KJFC1mHVfWJcU4S1KyJznp6\nMOvUCUuWLJH4NbpAIMCePXuwZMkSrFixoszeX6FQKHbvr4GBAWrWrFmp159bowbex8TApEMHib7u\nbyUlJRU0YC9cuIDWrVvDzc0Nbm5usFu7Fkpc/B5JicI1aN+8eQM7Ozu8e/dObk7yr169wtatWxEW\nFgZNTU34+vpi6NCh0NXVlXVojILLzs6Gt7d3wZBfWX4n32zdCq2RI1FbWRnK3w53UVXN//dlaObb\nt2+xb98+7NmzBzdu3EDv3r3h6emJ7t27o3bt2kXKFYlEsLa2xoEDBwouoMUlEAgQHR2N0NBQxMXF\nYciQIfD19YWjo2NlXy6jCLgcGlzCUOavx8urNWvgumIF2rZti3Xr1nFyw8rDwwNeXl4YNGhQufbb\nsWMHQkJCcO3aNdSqVUshG7QA0LBhQ0RGRsLe3r7gMR8fHzRs2BC//fZbqfumpaWhd+/eaNKkCUJD\nQwsN4WaKl5qaCkdHRyQmJsLV1RVjxoyBn5+frMOqPso4JyEyEpkdO2LZsmVYvXo1/Pz8MHPmTIlO\n0cnLy4OpqSmuXLkCKyurUrfNzMzE27dvxRr+/PbtW2hpaZXY4O1+8CCsT5+GskBQcoUcNBZzc3Nx\n9uxZREVFITo6Gunp6QUNWFdX18KjPMRodENdvfwjhqRFRnN3Zebo0aPUpUsXWYdRkCSmf//+pKOj\nQ6NGjaLLly+z9c0YuSMQCCggIEC2y/qIkU6eX7Mm+bRvT9ra2jRo0CDat28fZWVliVX8cn9/Oufg\nkJ8UQUkp/38/vxKT8jx9+pTmzJlDdevWpXbt2tGWLVsoIyNDkq+YUQRcJ28qI6nY58+fycPDg9q1\nayfxBIMikYiMjIwqdM4QiUT0448/0mJfXyI/P8quWZNEQJnHZXUzfPhwWr9+fcHfXzMbi7t0TEZG\nBvXs2ZP69OlT7gQ6imjOnDk0btw4GjNmDHl5ebHrMS6ImegwNTWVhg4dSqamprRlyxaJJkUaO3Ys\nLVy4UGLlEeUvrZOWlkb379+n2NhY2rNnD61du5Z+//13Gjt2LGXWqCG1hEspKSm0fv16cnd3Jx6P\nR+3bt6fg4GC6ceNG2d/pKry6gsI1aBcvXkwBAQEyqz8lJYWCgoLI3NycWrduTaGhocUv2cEwcmbV\nqlVkamoqm6ULxEgnn6ekRI969Cj/hVt0NAnV1Ci3uPT035zA+Xw+7d+/n3r16kV6eno0YcIE7taD\nYxSDHGSVFAqFNG/ePDIzM6PLly9LrNzHjx+TqalphRsFH3fvpkyAhN9fCFaBCytJCQ0NpWHDhhX8\n7e3tTX/88Ue5yuDz+eTt7U3Ozs707t07SYdYtX2XXfyzkhLdaNuWulpalrpkEiM9Fy9epDZt2lDL\nli3p7NmzEinzzJkzZG9vL5GyxMbhzUs+n0+xsbE0ffp0atq0Kenr65O3tzf9/fffBUtPlUsVXV1B\n4Rq0Xl5etH37dqnW+fVC2M3NjfT09GjcuHF069YtqcbAMJKwb98+2Szrw9WFvxg9v0I1NVru708m\nJibk7OxM27ZtY70djGTI0bp/Bw4cIH19fdq6datEytu5cyf99NNPFdtZjOOS1NXl/gKrUpKSKM3L\niz4rKREpKZFAQ4M21apFn2/eLHdRQqGQJk+eTE2aNKHU1FQOgq2CSuiJygVIULu2QtwwqSpEIhHt\n2rWLzM3NaeDAgfTkyZNKlScUCsnMzIzu3bsnmQDFIeFrmFevXtGWLVtowIABpKOjQy1btqQ5c+bQ\nxYsXSSAQcPxi5JPCNWgbNGggtV6VpKQkCgwMJBMTE+rQoQO7EGaqhYsXL5KxsXGhoXCc4+ruphgN\nilyAzjo4SPfHj1EMctZwi4+Pp/r169OkSZPKvw7zd8aNG0fLly+v2M5y1NCXiS+NLdF374FAWblS\nvdMhISFkYWFB9+/fl3DAVYycHXeMeDIzM2nevHmkp6dHs2bNqtToxilTptDs2bMlGF0ZKnlOEwgE\ndPHiRZozZw61bNmSdHR0aODAgbRlyxZ69eqV9F6HHFOoBm16ejqpqakRn8/nrI6cnBwKDw+nH374\ngfT19SkgIIDi4+M5q49hZOHRo0dka2tLM2fOrNoLfsvBkE9GwcnZnKX3799Tjx49qGvXrhUbrvZF\n8+bNKS4urmI7K/JxyXFja+vWrWRkZESXLl2ScOBViKLfMKniUlNTycfHh0xMTGjz5s0Vuga5du0a\nWVtbS2+edAWO67S0NNq1axcNHTqU9PX1qWnTpjR9+nQ6c+YMp+2YqkqhGrQXLlygli1bclL2gwcP\naPLkyWRgYEBdu3al3bt3U05ODid1MYw8ePv2LbVr144GDx7M6Xc9MzOTYho3LjrHVQIXICKuk/Iw\njDjkbM6SQCCgadOmkZWVFd2+fbvc+2dkZJC6unrFzwuKfFxKobF1+PBh0tfXp2hFHVaryDdMqpHL\nly9Tu3btqEWLFnTmzJly7SsSicjW1laieQPKVMbNS1FUFN24cYOCg4Opffv2xOPxyN3dndavX08p\nKSnSi7OKUqhle/73v//h5s2b2Lhxo0TKy87Oxt69e7Fx40YkJSVh+PDh+OWXX1C/fn2JlM8w8i47\nOxs+Pj5IS0vjZFmfu3fvYtCgQehuY4MVp05BqZLp5DMzM3Hu3DmcPHkSJ0+exNnbt8ErcetvVGTZ\nFIap4v7++29MmjQJf/31FwYMGCD2frGxsZg1axbi4uLKXSefzwe0tVEzJ6fsjavjccnlUk7fuHjx\nIjw8PLB06VL4+PhUuJyq5L///sO9e/fQ5YcfINaijcrKwLdLxDFyh4gQERGBGTNmwMnJCSEhIWUu\nx/NVUFAQPn/+jD///JPjKL+RnAz8+SewYweQkQHS0EBy+/YI09LC9gsXoKWlVbCsTseOHTlZTq26\nUpZ1ANJ08+bNcq8zWZw7d+5gwoQJMDMzQ3h4OCZPnoxnz55h0aJFrDHLKBQ1NTXs2bMHLVu2hLOz\nM54+fSqRcokI69atQ9euXTFjxgysOHgQSpGR+Y1WVdXCG6uq5j8eGVmkMSsQCHD58mUsWLAAXbp0\ngZGRERYuXAgej4f//e9/0Bgzpmh531NVBRTkgo9hvjVkyBAcO3YMU6ZMwW+//QaRSCTWfnFxcWjX\nrl256srLy0NYWBgaNGiAYwYGEJW1bmp1PS4zMsTajNLT8akSDdp27drh9OnT+O2337B8+fIKlyOP\nPn36hLi4OISGhmLixIno2rUrDA0N0ahRI8ydOxc5ZZ3zv5Lg+qcMN5SUlDBo0CA8ePAADg4OaNWq\nFQIDA5Euxk2hwYMHIyIiAkIp3rQga2vE+/lh6W+/oUvHjuARYTwAUxcXnD17FomJifjzzz/h6urK\nGrPlJdsOYulq1aoVXbhwoUL7pqen08aNG8nJyYnMzMwoKCiIDQFgmG9IalmftLQ0cnd3pxYtWtDD\nhw8LP1nG0EyRSESJiYm0bt26gjWemzZtSgEBARQVFUXp6elFy2PJQRimVG/evCEXFxfq06ePWGug\n9unThyIjI8Uqm8/n06ZNm8jKyoq6deuW/xutyMelmMNhM2rUIE1NTXJxcaEFCxbQ9evXKzSX8Nmz\nZ2RnZ0dTp06VTj4ECcrKyqLr16/Ttm3baNq0adSrVy8yNzcnDQ0Nat26NY0YMYKWL19Ox44doxcv\nXvz/fEk2h7baev78OQ0bNoxMTEwoLCyszIy/zZo1o9OnT3MaU0ZGBh06dIj8/PzI0tKSLCwsyM/P\njw4dOsTWr5cghWnQ8vl8UlNTK3pBWwqRSERXrlwhX19f0tHRoX79+tHhw4cVNiU2w5Tl67I+hw8f\nrtD+MTExZGZmRlOmTKHc3Fyx9nn9+jXt2rWLRowYQebm5lS3bl0aPnw47dy5U7zsf3KWlIdh5FFu\nbi75+/tTo0aNKCEhocTtRCIR1alTh168eFFqeXl5ebR161aysbGhLl26FF1jUlGPy3I0tjIzM+nI\nkSM0adIkatiwIRkaGpKPjw/t2rWL/vvvP7GrfPfuHbVr146GDRsml8lm+Hw+xcfHU0REBM2ZM4c8\nPDzI1taWateuTfb29jR48GBasGABHTx4kJKTk8tumCvyDRMFceXKFWrfvj01b96cYmNjS9xuyZIl\n5OvrK/H6Hz16RKtWraIePXqQpqYmdenShZYuXUrx8fHSS0SlYBSmQXv37l1q0KCBWNt++PCB1q5d\nS46OjmRlZUULFiwo88eZYZh8FVnWh8/n0+zZs8nExISOHj1a6rYZGRkUHR1NkydPJgcHB9LR0aH+\n/fvT2rVrKSEhoWI/FnKWlIdh5FVoaCgZGBiUuBZ1YmIiWVpalri/QCCgHTt2kK2tLXXs2JFiYmJK\nrkwRj8tKNLYeP35Mf/31F/Xr1494PB61bt2a5syZQxcuXChzGabMzEzq3bs3ubm5yazXSCgUUnJy\nMh08eJAWLFhAgwcPJnt7e6pduzbZ2tqSh4cHzZkzhyIiIig+Pr5yjW9FvWGiQEQiEYWHh5OFhQX9\n9NNPlJycXGSblJQUqlOnjtg30EuSk5NDx48fp0mTJpGtrS0ZGxvTyJEjKTIyUqxRLUzlVe8GbVJS\n/t1OLS0SAZRZo0b+38X8EIhEIjp37hwNGzaMtLW1ydPTk06cOFHlhuAwjDxISkoqvKzPN8ciKSnl\n///lWHzy5Am1a9eOevToQa9fvy5SVl5eHl28eJHmz59PHTt2JA0NDerUqRP98ccfdPHixUqvl8kw\nTPmcP3+eTE1NadGiRfk3kMT4rRUIBPT3339To0aNyNnZmU6dOsV6KkoigcZWbm4uxcTE0PTp08nB\nwYF0dXVp4MCBtGnTJnr+/Hmx+/D5fPr555+pbdu2+Us2lXLergyRSEQvXrygY8eO0fLly2nEiBHU\nunVr0tDQIHNzc+rVqxdNmzaNtm3bRtevX6fMzMxK1VciRbxhooCysrIoODiY9PT0aMaMGfTp06f/\nfzIpif4xNia+mlq5v+MpKSm0fv16cnd3Jx6PR+3bt6fg4GC6ceMGazvIQPXNcnzkCDBgAJCXl//v\nK1XV/H+RkUCvXkhLS8P27dsRFhYGkUgEX19fDBs2DAYGBrKLnWGqgbS0NPTr1w99a9TAjGvXoFTM\nsShQVoZ3rVpwCgrCr7/+CmVlZRAREhMTCzIRx8bGwtLSEt26dYOrqytcXFygoaEhuxfGMAyeP3+O\nH3/8ET+qqZV4fENVFaI9exCZmYl58+aBx+Nh/vz56NatG5SUxMozq7i+y4YKTc38JFgBAaVmci/J\ny5cvcezYMRw9ehQnTpyAmZkZevbsiZ49e8LZ2bkgAQ0RITAwEO937cL6d++gLBCUeg1Vlvfv3+Pe\nvXtF/qmoqMDe3h5NmzYt+Ne4cWPo6OiU+7UxjDhevnyJWbNm4dixY/jjjz8wwtgYKl5eEObkQOXb\nhHclfMfz8vIQFxeH6OhoREdH4/Xr1+jZsyfc3NzQvXt31KlTRwavivmqejZok5MBBweglCU+hLVr\nY/IPP2Db+fPo27cvfH194eLiwn5kGUaCcuLjAUdH1C4li6Cwdm28j4nB8eTkgkaskpISXF1d0a1b\nN3Tt2hVGRkZSjJphGHHk3r8PODigVinHd7aSEoY0bYoxISHo0aMH+42VAwKBAFevXsXRo0dx9OhR\nPHjwAJ07dy5o4FoTIc/ODqrfNmS/990yaRkZGbh//36RhmtGRkahRuvXf4aGhlJ6tQxT2LVr1xAy\nZgy23bwJtdKaQOrqeHvqFKISEhAVFdYPZowAACAASURBVIWTJ0/CxsamYFmd1q1bQ0VFRXqBM6Wq\nng1af38gLKzwXcXv5AG436EDLP79V+JrZzIM84W/PygsLL/3pgR5ALbWrIkjvXsXNGLr16/PLnwZ\nRt6JcXyLVFSgNGYMlNatk2JgTHmkpaXhxIkTOHr0KI4dO4bl2dnwyshAjVKWaRKqqOCKoyMW1a2L\ne/fu4dWrV2jUqFGhRqu9vT3Mzc3ZuZyRO+TvD1FoKFRKuRn39drkRL9+cHNzQ8+ePWFsbCy9IJly\nqZ4NWiktTM4wTBnEPBaJx4MSOxYZpmphv7XVjkgkAvF4UMnMLHPbnFq1ELVrF5o2bQobGxvUKGvt\nYIaRF+zapNqpng1aZeX8FAribCfFBZUZRuGwY5Fhqi92fFdP7HNlqjv2Ha92lGUdACc0NSW7HcMw\nFcOORYapvtjxXT2xz5Wp7th3vNqpng1ab+/8DGWlUVXNzxjIMAx32LHIMNUXO76rJ/a5MtUd+45X\nO9VzyLEYWY6/z9DHMAwH2LHIMNUXO76rJ/a5MtUd+45XO9Wzh9bGJn/9KHX1ondgVFXzH4+MZF9S\nhuEaOxYZpvpix3f1xD5Xprpj3/Fqp3o2aIH8xZDv3AFGj87PZqasnP//6NH5j4uxIDjDMBLAjkWG\nqb7Y8V09sc+Vqe7Yd7xaqZ5DjhmGYRiGYRiGYZhqr/r20DIMwzAMwzAMwzDVGmvQMgzDMAzDMAzD\nMFUSa9AyDMMwDMMwDMMwVRJr0DIMwzAMwzAMwzBVEmvQMgzDMAzDMAzDMFUSa9AyDMMwDMMwDMMw\nVRJr0DIMwzAMwzAMwzBVEmvQMgzDMAzDMAzDMFUSa9AyDMMwDMMwDMMwVRJr0DIMwzAMwzAMwzBV\nEmvQMgzDMAzDMAzDMFUSa9AyDMMwDMMwDMMwVRJr0DIMwzAMwzAMwzBVEmvQMgzDMAzDMAzDMFUS\na9AyDMMwDMMwDMMwVRJr0DIMwzAMwzAMwzBVEmvQMgzDMAzDMAzDMFUSa9AyDMMwDMMwDMMwVRJr\n0DIMwzAMwzAMwzBVEmvQMgzDMAzDMAzDMFVSlW7Q1qtXDydPniz3fhcuXICtrS00NTVx4MABvHnz\nBh07doSWlhamTJnCQaSSc+7cOTRs2FAiZQ0fPhy//fabRMqqiubOnQtvb29Zh1HlVPS4q87Ye1L1\nsM9MMjp37oywsDBZh6FQmjRpgtjYWKnXK8ljprLXH/L4vVP0aypJqS7n5tjYWJiZmUl8W1mS58+m\nSjdoK+r333/H+PHjkZGRgf79+yM0NBT6+vr4/Pkzli9fLuvwSuXi4oLExESp1yvPX2KGYRiGURTx\n8fHo3LmzrMNgmCqNXddWLwrZoE1JSUGTJk0K/d24cWMoKSnJMCqmvIRCoaxDYKoBgUAg6xAYRibY\nd5+RR7L4XhIRRCKR1OtluMHObUVV9/ekyjdob926BQcHB2hra8PLyws5OTkAgI0bN6J+/frQ09OD\nu7s7Xr58CQCwsbHB48eP0bdvX2hqamLw4MHYtm0bQkJCoKmpiZMnT2Lu3LkYOHAgvL29oaWlBXt7\nezx8+BCLFi2CoaEhzM3Ncfz48YIYtmzZAjs7O2hpacHa2hobNmwoeO7rMILly5fD0NAQJiYm2LJl\nS5mvKzo6Go0bN4aWlhbq1q2LZcuWFSrvq3r16mHZsmXFvgcAEBISAhMTE5iamiIsLAxKSkpISkoq\nts7Dhw+jWbNm0NHRQfv27XHnzh0AgI+PD549e1bwnoWEhAAA/v33XzRp0gQ6Ojro3LkzHjx4IHZc\nJSkt3uHDh8PPzw9ubm7Q0NBATEwMoqKi0Lx5c/B4PJibm2Pu3LkFZT19+hRKSkoIDQ2FqakpTExM\nCt7Hr/h8PoYNGwYtLS00adIE165dKzNGpvzH3dfP4tsT6rdDxpKSktCpUydoa2tDX18fXl5eBdsl\nJCTA1dUVenp6aNiwIfbs2VNmfO/evUPfvn3B4/HQunVr/Pbbb+jQoUPB80pKSli3bh1sbW1ha2sL\nAJg0aRLMzc3B4/HQsmVLnDt3rmD7uXPnYsCAAfDy8oKWlhZatGiB27dvi/WeMPJLnr/HfD4fzZo1\nw5o1awDk38BzdnbG/PnzS90vOzsbP//8M3R1dWFnZ4eQkJAivxlLliyBg4MDNDQ0IBAIsHjxYtjY\n2EBLSwuNGzfG/v37C7bfunUrnJ2dMX78eGhra6NRo0Y4depUoTpTUlLg7OwMLS0tdO/eHWlpaaXG\nyFTO154loVCIhQsXFnx2LVu2RGpqKgAgLi4OrVu3hra2Nlq3bo24uLiC/bdu3Qpra2toaWnBysoK\nu3btAgAkJyeja9euqFOnDvT19TF06FB8/PixUN2lnedKuoYAgJs3b6JFixbQ0tIqst/X65olS5bA\n2NgYI0aMwIcPH9CnTx8YGBhAV1cXffr0wfPnz8v1PgmFQkyZMgX6+vqwsrLC2rVrCx2/nTt3xuzZ\ns+Hs7Ax1dXU8fvxYrOu5hQsXQl9fH/Xq1St477768OEDevfuDS0tLbRp0wbJycnlipkp7MGDB7Cy\nssLu3bvFOk8FBASgTp06mDt3bqnf55Kuay9duoT27dtDR0cHjo6OYg3tf//+PUaMGAFTU1Po6uqi\nf//+xW73/fV3cUPUS/tuFYdd63yDqjBLS0tq3bo1vXjxgt69e0eNGjWiv/76i06dOkV16tSh69ev\nU05ODo0fP55cXFwK7XfixImCv3/++WeaPXt2wd9BQUFUq1YtOnr0KOXl5ZGPjw/Vq1ePgoODic/n\nU2hoKNWrV69g+8OHD1NSUhKJRCKKjY0lNTU1un79OhERxcTEkIqKCs2ZM4f4fD5FRUWRmpoavX//\nvtTXZmxsTGfPniUiovfv3xcqr27dumW+B0RER44cISMjI7p37x5lZmbS0KFDCQA9evSoyOu+ceMG\nGRgY0KVLl0ggENDWrVvJ0tKScnJyin3PEhMTSV1dnY4fP058Pp+WLFlCNjY2lJubW2ZcJREnXh6P\nR+fPnyehUEjZ2dkUExNDd+7cIaFQSLdv3yZDQ0Pav38/ERE9efKEANCgQYMoIyOD7ty5Q/r6+gWv\n4+vnHBUVRQKBgGbOnElt2rQpNUamYsfd188iLy+voJxOnTrRxo0biYho0KBBFBwcXPC5njt3joiI\nMjIyyMzMjDZv3kx5eXl048YNqlOnDsXHx5cao5eXF3l5eVFmZibFx8eTmZkZOTs7FzwPgLp160bv\n3r2jrKwsIiLasWMHpaWlUV5eHi1btoyMjIwoOzubiPK/KzVq1KC9e/cSn8+npUuXUr169YjP55f6\nnjDyqyp8j+/evUs6Ojp0//59Cg4OpjZt2pBAICh1nxkzZlDHjh3p/fv3lJqaSvb29kV+MxwdHenZ\ns2cF3/09e/bQixcvSCgUUnh4OKmrq9PLly+JiGjLli3/x955h0V1fH387LJLLwu7S+9SlGIvWBEL\nKioYBVHU2KJR1NgbGgvm1dhbYohGYwA7th+WWGNLYi8oEXsUxVjpnb3f9w/ixqXu0pH5PM8+sLfM\nnHv3zL3nzJw5AzU1NaxatQo5OTnYuXMn9PX18e7dO/n129vb4969e8jIyICnpydmzpypyk/BUJEP\n7+Nly5bBzc0NcXFx4DgON2/exNu3b/Hu3TuIRCKEh4cjNzcX27dvh0gkwtu3b5GWlgY9PT3ExcUB\nABISEnDnzh0AwIMHD3D8+HFkZWXh9evXaN++PSZOnKhQb3HPuZJsiOzsbFhbW8t1aM+ePRAIBHL7\n44OdNGPGDGRlZSEjIwNv375FVFQU0tPTkZKSAn9/f/j5+cll+bjdFccPP/yABg0aID4+Hu/fv0fn\nzp0V2q+npyesrKxw584d5ObmIicnRyl7bvLkycjKysKZM2egra0tv5dDhw6FkZERLl26hNzcXAQF\nBSEwMLAifvI6xQf9vnbtGqysrBAdHQ1AuefUunXrkJubi4yMDKX0+WO79vnz5zAyMsLhw4chk8lw\n/PhxGBkZ4fXr1yXK6+Pjg/79++P9+/fIycnBmTNnABS21z+2ZwFFG7w03SoOZuv8R613aCMiIuTf\np0+fji+//BIjRozA9OnT5dtTU1MhEAjw5MkT+XmlObRdunSRf//f//4HHR0duSGRkpICIkJiYmKR\ncvn5+WHNmjUA8pVUU1NTwQCSSqX4888/S7w2KysrhIWFITk5WWF7UQ5tUfcAAIYPH45Zs2bJ9z14\n8KBYh3bMmDGYO3euQl1OTk7yhlnwnoWGhiIgIED+XSaTwdzcHL/99lupchWHMvIOGTKkxDImTpyI\nSZMmAfjP+Lx7966CHCNGjACQ/zt37txZvi82Nhaampolls8oW7srzREYMmQIRo0ahfj4eIW6du7c\niXbt2ilsGz16NBYsWFCsfHl5eRAIBAovgjlz5hR6yJ86darE6xSJRLh58yaAfF35uLNDJpMpdDqV\nRd8Z1UtN1+MPrFixAk5OThCJRLh//36px9vZ2eHXX3+Vf9+0aVOhd8bmzZtLLKNRo0Y4cOAAgHxD\n0czMDBzHyfe3aNEC4eHhAPKvf9GiRfJ933//Pbp161aqnIyy8+F97OTkJP+dPiY8PBwtWrRQ2Obh\n4YGff/4ZaWlpMDAwQFRUlNzALY79+/ejcePGCvUW95wryYY4e/ZsIR1q3bq1gjEvFArlRnVR3Lhx\nAyKRSP5dGYfWy8sLYWFh8u8nTpwo5NB+/fXXJZZR0J5TU1NDWlqafH9AQABCQ0MB5NsoI0eOlO87\nfPgwnJ2dSyyfURgbGxvMmzcPFhYWcpuyKAo+p6ysrEostyh9/tiu/fbbbzF48GCFc7y9vbF169Zi\ny0xISACPxytykKosDm1xulUUzNZRpNaHHJuamsr/19bWprS0NEpISCAbGxv5dl1dXRKLxfTixQul\nyzUxMZH/r6WlRRKJhNTU1OTfiYjS0tKIiOjo0aPk4eFBRkZGJBKJ6MiRIwohV2KxmAQCQSE5S2Lv\n3r105MgRsrGxIU9PT/rzzz+LPbaoe0BElJCQQFZWVvJ9H/9fkKdPn9LKlStJJBLJP/Hx8fJQu4IU\nvMd8Pp+srKwU7nFxchWHMvIW3Hbp0iXy8vIiqVRKBgYGFBYWVijc7eNzbGxsFK6poIxZWVmf/DyD\niqCi292yZcsIALVs2ZJcXV1py5YtRJSvl5cuXVLQy23bttE///xTbFlv3ryhvLw8lXVpxYoV1KBB\nAzIwMCCRSETJyckKuvTx8Xw+nywtLUvUpdL0nVH91GQ9/sDQoUPp6dOn5OPjIw8ZK4myPEfDw8Pl\noaIikYju3LmjoPsWFhYKOSZKe44y3a8a4uPjqV69eoW2F9Rhovzf7MWLF6Sjo0O7du2isLAwMjMz\no549e1JcXBwREb169YoGDBhAFhYWpK+vT4MHDy70Pi3uty7JhkhISChShz5GKpWSpqam/HtGRgZ9\n+eWXZGNjQ/r6+tShQwdKSkpSKXdGWdpCafacoaEh6ejoKFwHawsVT1hYGLVp00Yh+Vlpz6mCv6Uy\n+vwxT58+pT179ijo8IULF+jly5fFnhMfH09GRkZkaGhY9ov9l9J0qyDM1lGk1ju0RWFubk5Pnz6V\nf09PT6d3796RhYVFhdeVnZ1N/fr1o2nTptGrV68oKSmJfHx8CEC5ym3RogUdPHiQXr9+TX369KH+\n/furXIaZmZnCnJMPc2uKwsrKiubMmUNJSUnyT0ZGBg0cOJCIqFDCrIL3GADFx8eX6x4rI29BOYKC\ngsjX15fi4+MpOTmZxowZU+jef1zOs2fPyNzcvMwyMoqnpHb34SGdkZEh3/+xMW9qakqbNm2ihIQE\n+vHHHyk4OJgePnxIVlZW5OnpqaCXaWlp9MMPPxQrh1QqJYFAoJIunT9/npYtW0a7d++mxMRESkpK\nIgMDAwVd+rgMjuPo+fPnTJc+QWqKHn8gODiYevXqRceOHaMLFy6Ueryqz9GnT5/SqFGj6LvvvqN3\n795RUlISubm5Kej+ixcvFL6z52jNwMrKqsg5mgV1mCj/N/vwfu7WrRudOHGCXr58SfXr16dRo0YR\nEVFISAjxeDy6ffs2paSkUGRkpNK2TEk2hJmZWZE69DEF3+0rV66ke/fu0aVLlyglJYXOnTtHRKSS\nbaVqW1DGnktMTKT09HSF62BtoeIJCwujZ8+e0eTJk4lIuedUQR0qTZ8LHm9lZUVDhgxR0OH09HSa\nNWtWsXJaWVnR+/fvC801Lwptbe1i3x1EqusWs3UU+SQd2oEDB9LPP/9MN2/epOzsbAoJCaFWrVqR\nra1thdeVk5ND2dnZcsU6evSoQsKospa5bds2Sk5OJqFQSPr6+sTnq/5T9e/fn37++We6e/cuZWRk\n0KJFi4o9dtSoURQWFkaXLl0iAJSenk6HDx+m1NRUIsofsX78+LFC2YcPH6ZTp05Rbm4urVy5kjQ0\nNKhNmzaqX3AZ5P1AamoqGRkZkaamJl2+fJm2b99e6JhFixZRRkYGxcbG0s8//6yQqIVRcZTU7qRS\nKVlYWFBkZCTJZDLasmWLgiG2Z88e+UPZ0NCQeDwe8fl86tWrF92/f58iIiIoNzeXcnNz6cqVKwoJ\nyAqipqZGffv2pQULFlBGRgbFxcVReHh4ibKnpqaSQCAgqVRKeXl5FBoaSikpKQrHXLt2jfbt20d5\neXm0Zs0a0tDQIA8Pj3LcMUZNpKboMRFRREQEXbt2jbZu3Urr1q2joUOHltob3r9/f1qyZAklJibS\nixcv6Lvvvivx+PT0dOLxeCSVSokoP8nhnTt3FI55/fo1rVu3jnJzc2nPnj109+5d8vHxKbFcRuXz\nxRdf0Ndff00PHjwgABQTE0Pv3r0jHx8fun//Pm3fvp3y8vJo165d9Ndff1GvXr3o1atXdPDgQUpP\nTycNDQ3S1dWV2xepqamkq6tLBgYG9OLFC1q+fLnSspRkQ7Ru3ZoEAoFch/bt20eXL18usbzU1FTS\n0tIikUhE79+/p4ULF6p8f/r3709r166lFy9eUFJSEi1durTE45W15+bPn085OTl0/vx5OnToEAUE\nBKgsG6Nk9PT06Ndff6Vz587RrFmzlHpOFaQ0fS5o1w4ePJiio6Pp2LFjJJPJKCsri86cOVNiMjIz\nMzPq0aMHBQcHU2JiIuXm5so7XwrSuHFj2r59O8lkMvr111/p7NmzhY5RRbeYraPIJ+nQdunShRYt\nWkT9+vUjMzMzevToEe3cubNS6tLT06N169ZR//79ydDQkLZv306+vr7lLjciIoJsbW1JX1+fwsLC\nlMp2VpAePXrQV199RV5eXuTg4CBXSA0NjULHNm/enDZt2kTjx48nQ0NDcnBwoK1bt8r3z549m775\n5hsSiUS0YsUKcnZ2psjISJowYQJJJBKKjo6m6OhoUldXL/M1qyLvBzZs2EDz5s0jPT09Cg0NLXIk\n29PTkxwcHKhz5840bdo08vb2LrOMjOIprd1t2rSJli9fTmKxmGJjYxU6P65cuUKtWrUiXV1d8vX1\npbVr18qzcB4/fpx27txJ5ubmZGpqSjNnzqTs7OwSZfnuu+8oOTmZTE1NaciQITRw4MAS9ahbt27U\nvXt3cnJyIhsbG9LU1CwUpuPn50e7du0iQ0NDioiIoH379pFQKCzj3WLUVGqKHj979owmTZpE4eHh\npKurS0FBQdS8eXP5iEVxzJs3jywtLcnOzo66dOlC/v7+Jeq+i4sLTZ06lVq3bk0mJiZ0+/Ztatu2\nrcIxrVq1ogcPHpBEIqE5c+ZQVFQUicXi0m4lo5KZMmUK9e/fn7y9vUlfX59GjhxJmZmZJBaL6dCh\nQ7Ry5UoSi8W0bNkyOnToEEkkEuI4jlatWkXm5uZkZGREZ8+elUcKzJ8/n65fv04GBgbUs2dP6tu3\nr9KylGRDqKur0759+2jr1q1kZGREu3btKrXsSZMmUWZmJkkkEvLw8KDu3burfH9GjRpF3t7e1LBh\nQ2rSpAn5+PiQQCCQTx8riDL2nKmpKRkaGpK5uTkNGjSIwsLCqH79+irLxigdkUhEJ06coKNHj9KO\nHTtKfU4VpDR9LmjXWllZ0cGDB2nx4sUklUrJysqKli9fXupyThERESQUCql+/fpkbGxMa9asKfK4\ntWvXUnR0tHzKScFsyGXRLWbr/AcP5Y2NZdQa7t69S25ubpSdna0wp7emUl55//77b7Kzs6Pc3Nxa\ncb2MymPmzJn0zz//0C+//FKm8xcsWEAPHz6kyMjICpaMwahcfvjhB9q5c2eRowHKsHXrVvrpp5+U\nCndmMGoyR48epTFjxhQKx1aWM2fO0ODBg1VePojBqCrqsq3zSY7QMv5j//79lJ2dTYmJiTRz5kzq\n3bt3jXbuapu8jJpJXFwcxcTEEAC6fPkybd68mT777LPqFovBqHRevnxJv//+O3EcR/fu3aOVK1cy\n3WfUSTIzM+nIkSOUl5dHL168oIULF7K2wPikYLbOfzCHthpxdXUlXV3dQp+yhBcXx48//kjGxsZU\nr149UlNTUyoJSWWyePHiIq+5R48eNVJeRs2lpPaTmppKffv2JR0dHQoMDKSpU6eSn59fdYvMYBSi\nLO+BHj16FHnO4sWLKScnh7788kvS09OjTp06kZ+fHwUHB1fhFTEYVceYMWOKbAsfEkTOnz+fDA0N\nqUmTJtSgQQMKDQ2tbpEZtZCidExXV5fOnz9f6XUzW0c5WMgxg8FgMBgMBoPBYDBqJWyElsFgMBgM\nBoPBYDAYtRLm0DIYDAaDwWAwGAwGo1bCHFoGg8FgMBgMBoPBYNRKmEPLYDAYDAaDwWAwGIxaCXNo\nGQwGg8FgMBgMBoNRK2EOLYPBYDAYDAaDwWAwaiXMoWUwGAwGg8FgMBgMRq2EObQMBoPBYDAYDAaD\nwaiVMIeWwWAwGAwGg8FgMBi1EubQMhgMBoPBYDAYDAajVsIc2trIo0dEwcFE+vpEfH7+3+Dg/O0M\nBuPThz0DGDUJpo+M2gTTV0ZVwvStSuABQHULwVCBo0eJ/P2JcnPzPx8QCvM/UVFEPXpUn3wMBqNy\nYc8ARk2C6SOjNsH0laEKjx4RrVxJFBlJlJZGpKtLNHgw0dSpRPXqlX5+efWtvPXXIZhDW5t49Iio\nYUOijIzij9HWJoqJYYrOYHyKsGcAoybB9JFRm2D6ylCFinBGy6NvrPNFJVjIcW1i5UpFpS6K3Fyi\n1avLVw8Lj2AwaiZV9QxgMJSB6SOjNsH0laEsjx7lO5MZGYV1Jjc3f7u/f8l2cXn0rSLqr2OwEdra\nhL4+UWqqcsclJ5etDtYjxGDUXKriGcBgKAn09YnH9JFRW2DPT4ayBAcT/fRTyQ6pUEg0ejTRd98V\nvb88+lYR9dcxmENbm+DziZT5ufh8IplM9fJZOA6DUbOp7GcAg/EvmZmZ9Pz5c4qPj6f4+Hh69uxZ\nof+TUlOVC/Ni+sioIgDQ27dv6f79+3Tx4kW6cuUKxcXF0fPnz+n1u3dMXxnKURGdH+V5X7POF5UR\nVLcADBXQ1VVOwXV1y1a+KuERrEeIwahSsrOziaehQepZWaUfXNZnAKNOkJeXRy9fvizSSf3wSUlJ\nIQsLC7KysiIrKyuytrampk2bkp+fH1lbW5OVlRXxrK0r953E+HSowOQ2AOjly5f06NEjun//Pl2/\nfp1iYmLo8ePH9ObNG+I4jgCQpqYmmZmZkaOjI/Xs2ZNka9YQv6QO+w8wfWWkpZX/uPLY7OWpv44m\nkmIObS2B4zi606gR1b9wgdRLOE7G5xN/8GDiqVh+dnY2CcLDSU0ZhzYigjm0DEYVkZqaSj/++COt\nXr2awqRS6vnyJfHz8oo/QSgkGjKk6gRk1CgA0Js3b4p0Uj98f/XqFUmlUrljamVlRfXq1SMvLy/5\nd2NjY+LzSx7PkgUFETZuJEFJoxBMHxlFTWVKTc0PqfzllyKnMnEcR8+fP6eHDx/Sw4cP6cGDB3T7\n9m2Ki4ujhIQE4vP5JBAIKDs7m7S1tcnGxoY8PT3Jw8ODWrZsSS4uLqSvr68oR2Ii4aefiFdaGCfT\nV0ZFDCANHqxc2HBR+lbW+svQ1j4VWMhxLSAuLo5GjhxJltnZFHn7Nglzcoo9NpPPp9k+PrR41y7S\n1tYutD8nJ4fu379PsbGxFBsbS3/99RfFxsbSkydPKCM7m4XjMBg1hLdv39K6devohx9+oE6dOtGs\nWbOoib4+mxZQx0lJSSlxZPX58+eko6OjMLJa8H9zc3MSCoXlkiM9PZ3G9+hBP/zxB2mW9D5g+li3\nUWIqU56GBu2cPZuuJyfTgwcPKC4ujp4+fUpaWlqkpaVFMpmMUlJSSEdHh5ycnKhJkybUtGlTcnV1\nJRcXFxKJRErLkuviUqINlaehQYLYWKavdR0l5rBCKCReSXNYyzONryxzaOv4tEHm0NZgcnNzafny\n5bRq1SpauHAhNWvWjNZ060YRWVmEnByFkdpcHo9yAIpftYqW3LxJN2/epOXLl1NycrLceY2NjaXH\njx+TjY0Nubq6KnycnJyIb2hIwszM0gVjMfsMRqURHx9PK1eupPDwcOrXrx/NmDGDHB0d/zuAJW77\nZMnKyqLnz58XO7IaHx9PMpmsSCf1409RnZkVyfv376lXr17k7OxMP/XrR2qBgYX0EQIB8dTVmT7W\ncWRjxhB/82bilRBVkkNEuw0MaI6BAb19+5a0tbXJ1dWVGjZsqGCnGBoalkuWc+fO0Q++vrQtJyc/\nyuUjfZWpqREJhTRIXZ2G795N3bp1K1ddjFqOEs5hlpoa8WJiSMPFpfhy/n1f52ZmkvBjd6u097US\nnS+FnNM6nkiKObSVSTni2G/cuEEjRowgExMT+vHHH4njOGrbti39+OOP9L/Vq2kix5HbjRvEpaSQ\nTFub7rVoQf6//04JWlpkYWFBDx8+JADUsmVL8vLykr8QnJ2dSVNTU6GuN2/e0OTJk6lbdDQNSE1V\nbHQF+YQbA4NRndy7d4+WLl1Kv+Gl1QAAIABJREFUBw4coOHDh9OUKVPIwsKi6IMfPSJavZrytm4l\nfno68fX188OWJk/+JHtePwU+zFstbmT12bNnlJycTBYWFoWc1I+/i0Qi4vFUnVRScSQkJFC3bt3I\n29ubli9fnh+W/K8+UkQEUVoaZQkEdLVBA2q3dy/TxzpAZmYmPX78WB4e/HGYcMzTp6RfehGUralJ\nl48fJxcXFxKLxRUuY0JCArVo0YK2bNlC3RwcFPQ1T1OT9mhq0oBLl+jP16+pT58+FBERwZzaiqK2\nzukspvM4h4jUNDVpecuWdEZLiw4cOFDIrlbg0SPa4u5On/P5Sr+vo6Oj6ef+/WlbTg5pqqkphskX\n5wzX9URSYFQOR44A2tqAUAjk5znL/wiF+duPHCnytMzMTMyePRvGxsb45ZdfwHEc3r9/j/r162Pu\n3LlYtWoVdHV14e/vDzc3N/B4PFhYWMDX1xetWrWCWCzG8OHDkZGRgTNnzsDU1BTLli0Dx3GF6uI4\nDhERETAxMcG0adOw5IsvkMHnK8pb8KOtDTx8WNl3j8GoM1y9ehX+/v6QSqVYsGAB3r59q/S5f/75\nJ1q2bFmJ0jGUgeM4vH79GlevXsX+/fuxbt06TJs2DYGBgWjTpg2srKwgFAphbm6OVq1awd/fH1Om\nTMHq1asRFRWFS5cu4eXLl5DJZNV9KSXy4MED2NnZYfHixUW+Uz7w6NEjSCQSZGZmVqF0dYiHD4Gx\nYwE9PYDHy/87dmylvptTU1Nx8+ZNREVF4dtvv8XIkSPRpk0bGBsbQygUQiqVwsbGBvb29rCwsICu\nri40NDQgK8me+PjD51ea7NnZ2WjdujW++eabIvdzHAdnZ2ecO3cOAPD7779DKpXi119/rTSZ6gxl\ntIVrDA8fAuPGAfr6+Tqqr487HTtiSJs2yM3NxYABA9CtW7cSn3UvX76EkZERMjMzoa6ujtzc3BKr\nvHr1KkQiEcRiMd5eulSofowbV3Rb5/Gqva1VJ8yhrQwePsxvqCo6hhcuXICTkxO8vb2xZcsWfPPN\nN+jfvz90dHQgEAjkLwpPT0+Eh4fj2rVr8PT0xMmTJwEAiYmJEIvFEIvF+P333wEAz549Q/PmzREY\nGIi0tDR5XU+ePEG3bt3QqFEjXLlyBevWrYOTkxP++flnpBGBEwgU5M0mQhoRHq5fX3X3kcH4ROE4\nDr/99hu8vb1hYWGBVatWITU1VeVyrl69iqZNm1aChDWIajDeC5KcnIw7d+7gyJEj+PHHHzF37lwM\nHToUXl5ecHBwgKamJoyMjNC4cWP07t0bwcHBWLJkCbZt24Zz587hyZMnyM7OrjJ5K4ObN2/C3Nwc\nP/74o1LHd+nSBdu3b69kqeogleggJCYm4sqVK9ixYwfmz5+Pzz77DG5ubtDX14dAIIBIJIJEIoFI\nJIJAIIC+vj7c3NzQp08fTJo0CatWrcLevXtx9epVvH79Or/TQ09PKSM7TSDAsWPHKqVTZ9y4cfD1\n9S2x7LVr12LAgAHy78yprQDKaAuXWmY1vw9ycnJga2uL8+fPy51ab29vZGRkFHn80aNH0alTJwCA\nhYUFnjx5UmzZf//9N8zMzCCVSnHo0CGlZcrNzUVmwWdCcR99fZWut7bAHNrKYOzYwi+bAh9OKETi\noEE4cOAA5s+fD2dnZwgEAqirq8PW1hY9e/bE9OnT0bp1a3h5eSElJQV///03jIyMkJiYKK+qd+/e\nOHjwoPz76tWr0bRpUzg4OMgd2MzMTAwbNgzu7u64f/8+Vq9eDbFYjCVLliAnJwc7duyQN7KNGzfi\nCy8vYNw4JPN44Hg8QF8fCX37orGeHmxsbPDu3bsqv6UMxqeATCbDwYMH4eHhAUdHR/z000/Iysoq\nc3k3b96Eu7t7BUpYw6iC3v3MzEw8ePAAp0+fxi+//IJFixZh9OjR6NGjh9yY19HRQf369dG1a1eM\nHDkSCxYswObNm3HixAnExcUpdBZ+ipw7dw5SqRS7d+9W+pxdu3bBy8urEqWqg5TTQeA4Dm/evMEf\nf/yBsLAwfPnll/D09IStrS20tLQgEAigra0NTU1N8Pl8iMViNGzYEH379kVISAg2btyIY8eO4e7d\nu0hPT1dO5rFjISvQQV6UPXTb0xPu7u5wdHTE6tWrFeyc8hAeHg5HR0ckJSWVeFxiYiJEIhFevnwp\n38ac2nKihC0MoTB/xFEZyvo+qAQn+KeffkLnzp0B5DuTAwcOLNapXbJkCaZMmQIAaN++PU6fPl1k\nmUlJSXB1dUXz5s0xZswYpeTgOA5r1qyBjo4OwtTUkFdalOWH+10DOgYqGubQVgZK9kim8Hho0aIF\n9PX10bZtW5w4cUJhlGbu3Llo1aqV/MUxYcIEzJgxQ6GqwMBAhV7wrKws2NnZoUuXLhj30UOC4ziE\nhIRAIBDIHVsAOH78OKRSKW7dugWO4+Dm5objx48DAKRSKf755x95GWPGjIG7uzu6deuGvLy8ku/B\nJ9hYGIyykpubi4iICLi6uqJJkybYvXt36W1ICe7cuYMGDRpUgIQ1kAro3c/Ly0N8fDx+//137Ny5\nE8uXL8dXX32FPn36oFmzZjA2Noa6ujrs7OzQoUMHDBo0CLNnz8aGDRsQHR2Nmzdv4v379yWG137q\nHDp0CFKpVP5eUJasrCxIpVL5u4ZRASjZWZ46dCj27t2LkJAQ9OnTBw0bNoRUKoVAIACfzwefz4dA\nIIBEIkHDhg3h5+eHkJAQbNu2DRcuXEB8fHyFPJ8A4EZUFNJLs4f+bcccx+H8+fMYMGAARCIRRo0a\nhZs3b5a97hs3IJFIcPv2baWOHzVqVKGwZObUlgMlbWGZnl7pz9iyvg8qqVP0wyjthzD1D05t165d\nCzm1gYGBCA8PBwB8/vnn2Lx5c6HysrOz0blzZ3Tv3l1hQKokDhw4AGNjY6ipqWH06NHIio1V7h5t\n3ly7w8CLgTm0lYGScewyItjY2BT5oNy8eTPs7e3x6tUrAMDr169haGiIhIQEheNGjBiBTZs2KWzb\nuXMnGjVqBAsLC5w4cQKZmZmYM2cOJBIJpk+fDjMzM3z77be4fPkypFKpvEGePn0aDRo0kD9YjIyM\n8ObNG3m5iYmJMDMzQ+PGjTF37tzir7+2z5lgMCqIjIwMfP/997C1tYWnpyd+/fXXCnWO7t27B0dH\nxworr0ahjPEuEOBVQAAOHDiAdevWYfr06RgwYADatm0rn7dqZmaGli1bwt/fH5MnT8aqVavk81YT\nEhJq/LzV6iQyMhImJia4ePFimc6fNm1aoU5YRjlQ0kFIIoJQKIRYLIarqyt8fHwwdepURERE4MaN\nG1XWSfNhZP/ywoVF2gScQFCsTfDy5UuEhobCwsICbdu2xbZt21QK23/37h3s7e2xc+dOpc+5ceMG\nrKysCs1xZE5tGVHBFtbU1ISLiwt69+6NiRMnYu3atYiOjkZsbGz+oE5ZRnsrI+T5Iz4epQXyndqg\noKBCTm39+vVx69YtAMD8+fML2c8cx2H48OHo2rVrfnu5fLnEei9fvgxnZ2fw+Xx069ZNwU4v1f7+\n4MxW0j2pTphDWxkoO2dETa3IMJjjx4/D2NgYcXFx8m1ff/01Ro8eXejYCRMmYO3atQrbOI5DixYt\nMHPmTBgbG8PBwQF9+/bFixcvAADx8fFwd3eHpqamwsO+T58+2LBhg/y7gYFBobCfPXv2wNHRERYW\nFjhw4EDha6/kBwiDURtISkrCkiVLYGpqit69e+OPP/6olHoePXoEW1vbSim72lE20oXPR69eveTz\nViMjI3H27NlPYt5qdbJ27VpYWlrizp07ZS4jLi4OJiYm7HeoKJR0EDger7olxcmTJyGRSHDixIn8\nDQWS66QLhYj18irVFsjNzcXevXvRqVMnmJiYYM6cOXj27FmJ58hkMvTo0QOTJ09WWe7WrVsXadsw\np7YMKPkMz1BXR7NmzaClpQUXFxd07doVfn5+8Pb2hrOzMzQ0NJCipO7n6eriyZMnePnyJTJHjABX\nkSHPBcjJyYGdnZ18UAgo7NSmpaVBS0tL/gzcunUrBg0apFDOokWL0KxZM3h5eSE0NLTY+p48eYIO\nHTqAz+fD3d29+MiDIhJZKYQZV+I9qU6YQ1sZKKEw2UT4jgja2toYNWqUPLQ3JiZGYdQUyM8uKJFI\nigzdmjVrFhYvXlxo+6FDh6CrqwttbW107NhRYd+LFy9gbW2Ntm3bws3NDQ8fPsTjx49hZGSkEPKs\no6ODlJQUhXM5jkPv3r0xatQoSCQS3Lt3T+Vrr62NhcEojVevXmH27NkQi8UYNGgQYmJiKrW+Z8+e\nwdLSslLrqDbqeMbG6oLjOMybNw+Ojo4lJi9Rlg4dOiAqKqr8gjGUdhCqO+nLkSNHIJVKcfbs2WKP\nCQsLw5AhQ1Qq96+//sL48eNhaGiIzz77DCdPnixypHnevHno0KEDcnJyVJY9IiIC3t7eRe5jTq2K\nqGgPpqSk4OjRo5g1axY8PDygra2Ndu3aISQkBJwyek/5o71SqRQSiQTJSp5TnvayefNmecKnD3xw\nart06YIzZ86gSZMm8n1nz55F69at5d8jIiJga2uL0NBQeHh4FJkB+c2bNxgwYAAEAgFMTEwQHR1d\nZnlryzOkLDCHtjJQYpQyncfDtM8+w5QpUyASieQ9LhKJBNu2bVMobtWqVQgICCiyqtDQUMyZM0dh\n28GDB2FpaQlra2t8/fXXqFevHvbv3w8gP2zY3d1dvuzC999/D2NjY/Tr1w9Tp05VKEdTU7PIxA9P\nnz6FWCzGggUL4OLiopid9RNuLAxGcTx58gTjxo2DoaEhxo4di8ePH1dJvQkJCTAxMamSuqocFXr3\nL1y4wEKHKwCZTIZx48ahSZMmCvkTykNkZGSxDgJDRWpBh/GBAwcglUrx559/lnhcXFwcrK2tyxT6\nnJKSgg0bNsDV1RXOzs5Yu3atPNotOjoalpaWZdbfzMzMEud+M6dWBcoZsZeamopjx44hJCQEaWpq\nSr0PUvh8uLm5wdTUVOklozgipAsEuNGmDa7s3KlSkr+cnBzY29sX6rzJy8tDUFAQ6tevr9BxEx8f\nD1NTUwDAmTNnYGxsjP3790MsFuNhgfuQlpaGqVOnQl1dHTo6OlizZo3Kc9uTk5Nx5swZrFixAt27\nd68Ry2hVFsyhrSyOHEGuhgayi3rZaGsjPSoKgwYNgqurK27fvo2dO3dCU1MTPB4PIpEIM2fOxOvX\nr5GdnQ1LS0tcvXq1yGpWrlyJSZMmAcifcxIQEABHR0ecOXMGf/31FyQSCY4cOQJTU1M8ffoU7du3\nx1dffaXwEjl+/Dh4PB6mTZumsF0oFBabgXX16tXw9PTE8OHDERAQAI7jkJeXlx/q9Ik2FgajIHfu\n3MGQIUNgZGSEmTNnKmTIrArevHkDsVhcpXVWGUrOob3csiVcXFxgbW2N6dOn4/r163U6iVNZyc7O\nxsCBA9GhQ4dSM8KqQmZmJsRicYWM9tZ5lHAQsoXCapvSs2vXLpiYmBRrr3wMx3EwMTEpV+cfx3E4\ne/Ys+vfvD5FIhAEDBsDQ0LDcUzxmzpwpz0pbFMypVYGKyqkydmyp4cMygQAxHTqge/fu0NPTU9oJ\n/vDJ5fGQweejj4YG3N3dMWLECISFheHatWsljvZv2bKlyIzueXl5cHR0hJOTk3xwSCaTQUNDA9ev\nX4exsTGOHDmCRo0aKeTCycnJwapVq6CjowN1dXVMmDBBKSf73bt3OHHiBJYuXYrAwEDY2tpCXV0d\nYrEYGhoaMDc3R3opGcdr86ATc2griZycHLQwMsL6f0cQOB4PaQKBwoLIHMdhy5YtkEgkcHd3x8iR\nI/Ho0SMMGjQIGhoaEAgEqF+/Ppo2bVqsgRYWFoZRo0Zh8+bNkEqlmD17tsJk9NGjR2Pq1KmYNm0a\nzMzMMGDAgEIjGWFhYfD29karVq3g7+8vH3F14PEgGzOmyEzFubm58gYvkUggkUggEAiqJMSDwahu\nLl68CD8/P5iYmOD//u//KmyJCVVJTEyEgYFBtdRd6ajQu89xHGJiYjB79mzY2dnByckJ8+bNw927\nd6v7KmoF6enp6NGjB3x9fYtdS7E8fPXVVyUnEmQoTwkOgkxLC19YWGDp0qVVLlZ4eDjMzMzkyW+U\noX///vj5558rpP4HDx7A2NgYBgYGaN++PXbu3FnmuduPHz+GWCwucWki5tSqQElzOlUpo5T3QRoR\n/NzcMG3aNOzevRtxnTsjV9lBlo8+GXw+vuzSBX379kXnzp3h6OgILS0teHh4YMKECQgPD8fdu3fl\ntvSHUdozZ84UEtvDwwNdunRB586dkXH7NjB2LFJ4PMiIkK2piT8aN8aXXbqA4zhwHIcdO3bIs+/3\n6tULz58/L/J2vHr1CkePHsU333yDvn37wtbWFrq6unBzc0Pjxo1hZmYGQ0NDBAYG4ueff/6vnFoQ\n5VFWmENbFkpZkubevXtwdnaWT3AHgNjY2CKzkXIch8DAQOjq6qJ///5ITk4GkG9grF69GmpqahAK\nhZBKpfjmm28Us5kBWL58OUxMTNCsWbMi09u/fPkSRkZG6NevH3R1dQu9PDiOg4uLC06dOoWsrCyM\nHDkSrq6ueL5pE9KICvWI5fL58h4sTU1NEOXPA1ZXV0dQUBAOWlgUHpX+RBoLo27DcRyOHz8OLy8v\nWFtbY/369cqvxVhJpKamQltbu1plqFSKMd6ziSDT0iqyd5/jOFy6dAmTJk2CmZkZGjVqhCVLlrAR\nwmJ4//492rRpg88//7zI+VsVwe3bt2Fubl5p5dc5Hj4EFxyMJCL5WvEfHITnz5/DwcEBq1evrjJx\nNm7cCAsLC/z1118qnbdhwwYMGzas3PVzHIeBAwdi6NChyM7Oxp49e9CxY0eYmpri66+/LtYpKIme\nPXtiy5YtJR7DnNoqppTR3uwDB3D27FksXLgQnTp1gpuWFjJKW5e1qCgHIhy0ssLIkSPRrVs3WFtb\nQ1NTE/b29mjYsCFcXFwglUqho6MDT09PzJw5E8HBwWjdurXC4FNeXh50dHTw9u1bLPPyQgafn5/Z\nu0BdnJYWbixeLHec3d3d5VEOHMfh+fPn+N///of58+ejd+/esLCwgKGhITp16oTPP/8cAwYMQKtW\nraCrq4uOHTti8eLFuHr1atHTcD7hxK3MoVWVEhoUp62N3cOHw8jICFKpFD4+PvKe0qysLGhoaBTq\nMVy2bBkaNmyINxcv4jcXF6TwePkvKD09POreHb5ubjh9+jQ8PT2hoaEBdXV19OzZEydPnsTSpUvl\nPTIlGQrt27eHkZERLly4AKlUivj4ePm+kydPwtXVVd4IZTIZNkydirRSGnymmhq2f/MNRo4ciT59\n+sDb2xt8Ph+rxo0D94k2FkbdRCaTISoqCs2aNUODBg3wyy+/lCnZSGWQlZUFdXX16hajcimid//3\nJk0w2de31FPz8vJw5swZfPnll5BIJPDw8MDatWsLLX9WV0lISICbmxsmTZpU6XOQW7dujYMHD1Zq\nHXWJFy9egIiKjA55+vQp7Ozs8N1331W6HOvXr4e1tTUePHig8rmxsbEVkqV9zZo1aNKkSaHogjt3\n7iA4OBiGhobo168fTp8+rfR0hMOHD6N58+alHsec2ipGhdHerKws3Fm+HNlCIXJUHaVVV4ehoSGC\ngoJw+fJlpKWl4fr169i+fTu+/vprBAQEoEGDBlBXV4eBgQEkEgl4PB60tbXh4eGBadOmYePGjbCy\nssrvgFJidLmlWIwNGzYgKioKISEh6N69O4yNjSGVStG9e3eEhIRg48aNWL58OYKCgiCVSuHs7IwJ\nEyYgOjpaMZ9NSXyiS2syh1YVlOjZyODzsWnWLLRv3x4SiURhfoiDg4NCD+auXbtgZWWFN+HhRSpX\nDhFyNTTkyvX3339j4sSJ0NLSAp/Ph4aGBvr37w9PT8/Ccv47gswRIYXHwxYtLcQcOIBFixbB29tb\n/lDv1q0bxo0bh/nz56Nnz54wMTHB5qLm/hYxypo5ciS++uor8Pl8DBw4EAsXLkSLFi1waNw4pBEh\nr0DPWDZRfqOupY2FUbfIzs7Gli1b4OzsjJYtW2L//v01LvFQXl4eeDVgiY6qJjU1FVZWVkWGeBVH\nTk4Ojhw5gs8//xwikQheXl7YuHEj3r59W4mS1lwePnwIe3t7/N///V+VzDnesmULevXqVen11BV2\n7twJoVBY7P7Hjx/D2toaGzdurDQZli9fDnt7+zJHP3AcB6lUiqdPn5ZZhnPnzsHY2LjEubjJycn4\n/vvv4eLiAhcXF3z33XfyaLjiyMvLg52dXalrggLMqa3xPHyIJz17Ik1NTelsyRyPh3fv3mHlypWw\nsbFBmzZtsHv37kKDR3l5eXj06BEOHTqE/v37w9jYGPXr15fb6USEjQJBqQ51NhE2qqvD3NwcvXr1\nwvz583Hw4EHcv38fv/76K6ZMmQI3NzcYGhrC398fmzZtwt9//12ue1LuMPAaBnNoVUGZJCVCIcL1\n9bFixQq0aNFC4fRevXrJsw1/GC39Kzpa6eH/9PR0zJgxA1KpFMOGDYO9vT20tbXB4/Hg6+uL/fv3\n4014OGRaWoXCGnL5fGTweIgaORJSqRT29vYwNDQEj8eDm5sb2rZti2bNmsHCwkLpebDJPB7Gjh2L\nyMhI2NvbIy0tDd26dYNQKEQ7MzPkjRkD6OuD4/ORzOMh2sYG6/9NYMVg1FTS0tKwZs0aWFlZoUuX\nLjh16lSNTjLE4/FqnKNdFezevRtubm5lGi3PzMzE3r17ERAQAH19ffTs2RMRERGFlin7VLl16xbM\nzc0RFhZWZXWmpaXB0NBQIUKIUXYmTJggz5ZaHA8ePIClpWWFzVP9mEWLFsHR0bHcv6e/vz/Cw8PL\ndO6LFy9gbm6utCPJcRx+++03+Pv7yzPSl7TO8tKlS5UOiWZObc0mNDQUwcHByNLQUNq+lUgkGDZs\nGHbv3o3IyEi0b98e1tbWWLZsGd6/f1+ojtzcXHhZW+O5r698QClDKESukmHPMj09cByHW7duYfny\n5ejatSt0dXXRrl07hIaG4uLFiypnOa5LMIdWFZRcRiKZx4OdnR3c3NzQu3dv+Pj4wNvbG1ZWVrCz\ns0PTpk0hFArh4OCAXWKxUj03G/7t6eHxeCAi8Pl8CIVCqKurg4hARKj3b9hCaWENLYyMwOfzoaWl\nBaFQCDU1NUgkEjRo0ABeXl7Kpzrn8XDnzh3k5uZiwIABmD59Olq1agWBQIDRo0cr3LqgoCAsWrQI\nRkZGePHiReF7W8q8ZAajsnn//j1CQ0NhbGyMvn37KtUzXxMoKRv5pwzHcejSpQtWrVpVrnJSUlIQ\nGRmJXr16QV9fH/7+/oiKiqqU5Eg1gQsXLsDY2Bi7du2q8rrHjBmDhQsXVnm9nyIdOnRAq1atSj0u\nLi4O5ubmiIiIqJB6OY7DnDlz4OLiUiGh++vXr8fIkSNVPi87Oxtt2rTBokWLylTv8+fPMW/ePJiZ\nmcHT0xO7d+8u1Dn25s0biEQipaM4mFNb88jJycH+/fthamoKHR0dnK5fH7JSMv3m8fmItrGBnp4e\njI2NYWlpCS0tLXTs2BEzZsxA3759YWhoiHHjxuHevXv/VXbkCHLU1QvZ9KqsoWtqaop69eph7Nix\n2L9/f4VmnP/UYQ6tKiiZLU1GBD09Pfzwww84cOAADh06hF9//RWTJ09Gp06dYGlpiVmzZuHy5cvI\n09FRqswkInh7e2PmzJlYvHgxvv/+e0RERGDDhg0wNzfHt99+iyhj41JDhbOJ8IOaGmxtbcHn87Ft\n2zZkZmYqXqeSjnu6QAAHBwdoaWmhYcOGEAgEEIvFsLW1hZGRES5duiQvcseOHfDx8cGMGTMwYsQI\nxfo+0Xh+Ru0gISEB06ZNg5GREYYNG6ZyYpPqRltbW6V18z4l7t69C7FYXGFzYt+9e4dNmzahU6dO\nEIlEGDJkCA4fPlxj5kyXl8OHD0MikVSbwX39+nVYW1uzUYYKwMLCQmlHMDY2FmZmZuXuxOA4DlOn\nTkWjRo3w+vXrcpX1gZiYGNSrV0/l88aPH4/evXuXOzolJycHu3btQocOHWBubo4FCxYodLoPGTIE\nK1asULo85tRWIioMfMTGxmLq1KkwNjZG+/btIRaLcePGDaWmDnL/RkXm5eXh2rVrWLVqFXx8fKCj\nowM9PT1oamrCwsICLVq0gEgkgo+PDy788kvp+WNK+WRpahZai5ahPMyhVQUlHb0cbe0ie05PnjwJ\nXV1dzJ49+7+NKjjJUqkUgwcPxsCBA9G2bVvY2tpCW1sbHzINKxsqnKqmhq5du0JbWxt+fn4IDw/H\ngQMHcPr0aVy9ehVJQUGl9mBxH2UqTk1NxdatW6GhoQE+nw9XV1doaWlBTU0NXbp0QUhICLZs2QId\nHR08e/YMJiYmuH79ev71f8IZ1xg1m4cPH2L06NEwNDTEV199Va55XNWJvr5+ne7FnTlzJgYPHlzh\n5SYkJGDdunVo3bo1JBIJRo8ejd9++63WOmORkZEwNjbGn3/+Wa1yNGvWDEePHq1WGWo7HMdBKBTi\np59+UvqcmJgYmJiYYN++fWWqUyaTYdy4cWjevDnevXtXpjKKK1csFquUiTg8PBwODg4VvlxaTEwM\nxowZA5FIhICAAJw5cwZ//PEH6tWrp5LjzJzaSkCJgY/k5GRs3LgRHh4eMDc3x+zZs3Hv3j28ffsW\nenp6//2GxZTFCYX5eXD69i1SBJlMhps3b2L16tXo0KEDNDU1IRQKIRQK8aOaWum5Z0ryG3g8ZH3x\nRRXe0E8P5tCqghJzaD+k+165cqXCqTKZDL6+vhAKhYoGkZJOcqqamnyZHD6fDxsbG/j7+yMsLEy+\nDiWngnMsFovh6+sLTU1N9OrVC71794anpyeaNGkCL2vrUkOX03k8zAoIwIwZMzB//nyYmJigTZs2\n0NHRwfjx43Hp0iUMHDiHsDc5AAAgAElEQVQQzs7OmDVrFvz8/KCpqQlNTU3Y2trCzMwM69atw4s+\nfUpdLJst88OoSG7duoUBAwZALBZj7ty5FTbSUF0YGRkVWs6rLpGamgpLS0ucPXu20up48uQJvv32\nW/n6fhMnTsTFixdr9Nzqj1m/fj0sLS1LnC9YVYSFhaFvMQYjQzkSEhKgpqaWP+KkAtevX4exsTH+\n97//qXReXl4evvjiC7Rp06ZSOs8+++wzbNu2Taljb9y4AYlEgtu3b1e4HB9ISkrCunXrUL9+fbi4\nuMDKykrljgDm1FYgSgx8ZKmpoZGuLvr27YtDhw4pJG86ceIEOnToULjMIpIivb9yBfXq1cMvv/xS\nqlgymQwxMTGYP38+UsuwPJCC/AIBOtnYICYmpqLvXp2BObSqoESjSufx4MDjwd/fX2HexfTp09Gu\nXTsYGRnh1atX8u3/9OtXaq9OLo+H256euHbtGo4dOwZTU1P06dMHwcHBcHNzAxHBy8sLKUo6tElE\nUFNTw8qVK7F27Vo0btxYvpzQ48eP4eTkhO6UP9+2oGzZlJ95eWbDhjAxMcGUKVPQvHlz2NvbQ0ND\nAy1atIBAIICbmxscHBygrq4ONTU1CAQCaGtrQ0dHB/b29hAKhZBIJEqPKkNfv8p/bsanxfnz59Gz\nZ0+YmZlh2bJlpWa5rC2YmJjg5cuX1S1GtVKeBFGqcvfuXcyfPx9OTk6ws7PD7NmzcevWrRrp3HIc\nhwULFsDBwaHGrMObnJwMkUhU53W2PBw7dgw8Hq9MUw0uX74MY2NjpUfJc3NzMWTIEHTs2FH5ZUFU\nZM2aNRg1alSpx7179w729vbYuXNnpchREI7jcOrUKTRp0gRCoRDjxo1TaUoKc2orCCUGk/L4fGQU\nnM72L0uXLsUkFRKSxsbGQiqVqhTNouyAUsH5tHlqavIR5vDwcEgkkgqb717XYA6tqvwbqlAwJDeb\nCHmampjXogW0tbXxxRdfwNTUFDt37sT3338PJycnvH37Fq1bt8bp06dx69YtDBs2DA3U1ZFeSkPI\nVFND9kcP0VevXqF79+5o3bo1njx5Aj6fj/r162OXRKLUcjv7zM2hqakJf39/GBgYwMLCAgEBARg/\nfjx0dHQgFArh4eEBRz4fJ+vXl/dgcfr62GNigl2LFwPIX0xdJBJBLBZjypQpGDp0KABg/vz58PPz\nAwC8ffsWtra2iIyMxOXLlyGRSHDt2jUsX74cZmZmSk+WB59f5T81o/bDcRyOHDmC9u3bw97eHmFh\nYYXnjNdyLCws8OzZs+oWo1rhOA6dO3fG6tWrq7TOGzduYMaMGbC2tkaDBg0QGhqK+/fvV5kMJSGT\nyTB+/Hg0btwY//zzT3WLo8DIkSOxZMmS6haj1jJv3jzo6OiU+fw//vgDUqkUJ06cKPG4nJwcBAQE\nwNvbG+np6WWurzRu3rwJJyenEo+RyWTo0aMHJk+eXGlyFEdaWhpEIhHGjx8PU1NTeHl5ISoqqtAS\nLkXBnNoKQMlIxuIGPgIDA1XOpH3o0CGYm5sXm8U7MTERBw8exKRJk9CoUSOlB2dyeDykqqmB4/OR\nramJI/b2ClPqYmJi4OjoiLFjx9bJZI/lgTm0ZeHhQ9zt3BnJPB5kREgTCPA/a2vg4UMMGzYM3t7e\ncHJywt69e2FpaQl1dXXMmTMHEyZMgFQqhVAohEgkgr6+PmbMmIG13bsXOxrKaWtjfsuWCAwMVAhV\nlslkWLZsGYyNjcHn89GvXz/E7N+P9NIak7o6molECA4ORnBwMP7++2907NgRRAQdHR2oq6vD2toa\nbm5uEAqFiIqKUrj0K1euwNTUFElJSXj//j2kUimMjIygpaUlHwHIysqCs7OzPETn2rVr8hAhZ2dn\nrFy5EuPGjVNp3i8boWWoQl5eHnbu3InGjRvD3d0d27dvV8r4qI3Y2tqWuAZjXeHu3buQSCQVliBK\nFWQyGX7//XdMmDABJiYmaNq0KZYvX15tHQ05OTkICgpC+/bta+T86osXL6o8L5HxHz4+PnB0dCxX\nGefOnYNUKi12LeesrCz4+fmhV69eld4JKJPJYGhoWGLbnTdvHjp06FBtCdomTpyIkJAQZGdnY8eO\nHWjXrh0sLCwQGhpaarQBc2rLibKjn8UMfDg6OpZpusXSpUvRtGlTpKenIzk5GYcOHcLUqVPRtGlT\n6OrqokuXLli0aBHmzZuHcH195JQi54ekrHp6epBIJBg0aBC0tLQKTRlKSkpCnz590LJly1qb26M6\nqLsObTmXiZk4cSKsra0REhICLS0tXL58GZmZmTAwMMD69evh6ekJoVAIIoK+vj7U1dXRt29fBAUF\nwcTEBJ999hlOnToFd3d3dO3aFY58PsIEAsh0deXx/NE2Ntjz7bfIzMxEx44dMXr0aIWwNo7j0Lt3\nbxARfH19YWxsjKUdOyJTTa3QvNTsf0d6B4vFEAqF8hAafX19BAQEYPHixeDz+RAIBNDS0pInmyoq\n6cKIESMwdepUDBw4EBMmTMCgQYNgYWEBPz8/eRjn2bNnYWlpiaSkJNy+fRuBgYHyZYJsbW2xdOlS\nrF+/Hht4vFKXLWJzaBnKkpWVhY0bN8LBwQFt2rRBdHR0jQwFrUgcHBwUlw6ow8yYMaNSEkSpQm5u\nLk6ePIkvvvgCRkZGaNeuHb777rsqGyVNT09Hjx490KtXrxq79BDHcXB3d8fJkyerW5RaSb169dCz\nZ89yl3P69GlIpVJcuHBBYXtGRga6d++Ofv36yacjVTa+vr7YsWNHkfuio6NhaWlZrZEGcXFxMDEx\nURg1u3nzJkaPHg2RSITAwECcO3eu2PcNc2rLgZIjtCl8PhYvXoy///5bbuNzenqQEYFT0cZPTU3F\nkSNH4OrqCiMjI+jo6MDLywuhoaE4f/48srKysG/fPri6uqJNmzb4MzJSqSmJPs7OaNWqFQwNDeHl\n5QUDAwNoaWmhb9++CA8Plydc4zgOy5Ytg4mJCY4dO/afYGyJy2Kpmw5tBSwT0759e5iYmKBjx45Q\nV1eHl5cXtLW1oaGhAX9/f8yaNQu6urrQ19fHlStXcOfOHbi4uEAgEMDGxgYTJ06EiYkJtm/fjuDg\nYKirq2PAgAEKdRw+fBjNmzcHkL9WYvPmzTFr1iz5/jlz5qBFixawsLCAhoYGzM3NIRKJEH/mjHyy\nu4zyl9d52L07ujk4wNDQECtWrICZmRnEYjEMDQ2hq6srDzV2dHSEl5cXmjRpAh6PhwYNGmD16tUK\nWQ3/+ecf6OnpoaOVFV4HBCCFxwPH4yFDKMQ2AwPc3LsXe/bsgZOTE3R0dGBnZ4fg4GD4+PjAw8MD\nbm5umDNnDsRiMfybNEFWKRmVWZZjRmmkpKRgxYoVMDc3R48ePXDu3LnqFqnKqF+/PmJjY6tbjBpB\nVSSIUoXs7GxER0cjKCgIBgYG6Nq1KzZv3lzh2Vk/kJiYiLZt22LIkCE1fqmh9evXIzAwsLrFqHVw\nHAcNDQ3MmzevQso7duwYpFIpLl68CCA/vLZTp04ICgqq0qiWVatWYcyYMYW2P3jwAFKpFH/88UeV\nyVIcnTt3xvbt2wttT0xMxJo1a+Dk5ISGDRsiLCysyPnGzKktI0omZD1ka4uhQ4ciQFcXGXx+/vxU\nJW389PR0HD9+HLNnz0br1q2ho6ODDh06YM6cOahfvz7mz58PIL/9HTt2DM2bN0fjxo1x6NCh/zox\n/vUtCg7S5PB4SOfxcHr6dPD5fISEhODRo0eYPHkydHR0YG5ujrlz58LPzw96enro1KkT1q1bh6dP\nn+K3336DmZkZQkNDITt0iC1xWQJ1z6EtwzIxHMfh2bNn2LdvH0JCQtC1a1fweDwQETQ0NCAQCHD0\n6FH0798f69atQ1JSElxdXbFq1SocPHgQEokE48aNg7GxMTw9PUFEaNy4MRISEpCRkQENDQ3o6Ojg\n5s2bCqLm5eXBzs4Oly9fBpC/yHeDBg2wdOlSrFu3Dk5OTrh69SqEQiHmzp0rdyAjIyPlZXh5eaFB\ngwaQyWSwsLCAlpYWWrRogdOnTyMjIwNWVlbw9/eXZx7+eFRZU1MTCxYsQN++fWFgYIDBgwfj/Pnz\nePbsGfpoaCCDzy8UYpFN+cmkJjg44Ntvv1V4EWVnZ8PZ2Rk8Hg+9e/fG8+fP8erVKwTo6iKN8pNf\nsUbKUIW3b99i3rx5kEgkCAwMVDnr56eAu7s7bt26Vd1i1Bh27doFd3f3Ghdinp6ejt27d+Ozzz6D\nvr6+fESqotYQTkhIQMOGDTFp0qRaEcr7/v17GBgY1OkM3WXhxYsXUFdXx4EDByqszMOHD8PY2Bhn\nzpxBu3btMHz48CpfnuratWto0KCBwra0tDS4u7vj+++/r1JZimPv3r1o165dsftlMhlOnDiBPn36\nwMjICF999RXu3r2rcAxzasuAkmvHLhgyBC2MjJCjrl6qjZ955w5OnTqFuXPnol27dtDR0UHbtm0x\nd+5cnDp1SiG6JSEhAZaWlli8eDE8PT3h7OyMXbt2FfmcfX72LDZpaIDT1wfH4yGVz8c2Q0N8M3w4\nunfvDnV1dTRp0gQBAQFITk7GkydPoKGhARsbG7Ru3RqRkZHYu3cvhg0bBrFYjKZNm2Lq1Kno7eKC\nzIIOOhv8UaDuObRK9PRwAgEe+/hg3rx58PHxgbGxMUxMTNCrVy8sWLAAmzZtgrm5OXg8Hnx9fWFk\nZISnT59CJBLhyZMn6Ny5M8aPHw+O45Ceno6uXbtCTU0NrVq1go2NDYRCIby9veHu7o7Ro0dD7d91\nYYti6dKlGD58uPx7fHw8pFIpRCIRbkRFIVxfP3+ElAipfD5e+fujs60thg8fjrS0NEyaNEk+giwQ\nCKCjo6NgQIwaNQrq6uoQi8X466+/0L17d+jr60MkEkEikaBXr14QiURwcHCAh4cHzMzM4PKvM1ta\naMWaCRMQGRkJNzc33L9/H76+vrC3t4e6ujqCg4PlMrRv3x7tzc2x29g4f7I8jydPoV6XGyejeOLj\n4zFp0iQYGhpi1KhRNSYRT3XQpEkTXL16tbrFqDFwHIdOnTphzZo11S1KsSQlJeGXX36RP28DAwNx\n4MCBMicBefToEerVq4dFixbVqhD7IUOGFFrijlEyx48fh5aWVoVHZURGRkIgECAgIKBaOkTy8vJg\nYGAgDyvmOA5BQUH4/PPPa4xO5+bmwsLCQqkOxKdPnyIkJATGxsbo3Lkz9u3bJ+9kU3BqWQipcigZ\nWfkmIKDUaWw5RAgTCODh4YHZs2fj+PHjJXYsXr9+HW3atAGfz8fChQtL7CxdvXo1RowYgWfPnkEs\nFuP+/fto0KABTpw4gYYNG8LMzAyZmZkYPXo0nJycEBMTA29vb+zYsQNRUVFo27YtbGxssHLlSrz9\nf/bOMyyK8+vDs73B0naXLk3AgqJoENGgRLEb7Fix/jVqjL3FFolGY0vsvfdYY49RY2yxJrbYS4oa\nosYExAbs3O8HdN8QUBYFQeG+Lr7s7sycWWZ2nvM85/x+d++yd+9eevXqxRIbG6tEXwtye17BS2it\nrMVPkssZOnQoGzdu5MaNG+l+UNesWWNZpf3pp5+oUKECY8eOJSIignbt2lG/fn1SU1O5fv06ZcqU\nITw8HEdHR7RaLTNmzCAwMJAzZ86waNEiJBIJCoXiuRL6d+7cwd7e3lLyu3PnThwdHYnR63kgkZD6\n38RSoUDUaplQrRp+fn6UKFECiURCu3btKF26NN27d6dr165AmsCTk5MTarWadu3aER8fj729PfXr\n10ej0RAcHAykPWiOHj1qEbWaJmQUsMpsUmCtiwt16tTB19cXrVbLqFGjePz4MSNHjkSpVHLlyhWu\nXr2Ko6Mj7u7uqNVqKlWqxJ49e3L5Iigk32HlQ/3ixYt06NABBwcH+vbty40bN/Io4PxDaGiopVyw\nkDTOnTuHk5PTG2ENc+fOHWbOnEmVKlVwcHCgXbt2fPPNN1avMJ86dQp3d3dmzJiRy5HmPPv37ycw\nMDDfJCxvAhMmTEAqleaoUNOdO3coW7YsdevWxdnZOVc9Xl9EvXr1+OqrrwAsloL5rQ985MiRmZZG\nP4/Hjx+zfPlywsPD8fT0ZNSoUcTHx3Pw4EFi9HpSVKrCElJreY53bLpxQjb6bePi4rh69epzD3f+\n/HmaNm2Kq6srU6dOZfHixXh7e7/Qu75y5cps2bKFhg0bWsqUp0+fTuPGjZkwYQJqtdoyxl28eDEG\ng4EOHTrQpEkTyz6OHj1KixYtcHBwoGfPnly9ejWtB9iK8yrIAqoFL6G1Ui3NLAgUL16csLAwatas\nSbNmzejcuTP9+/enSpUqFt/VTZs2ERUVRenSpYmMjEyT705IYOfOnRgMBooVK0ZQUBBHjhzhwoUL\nFClShJIlS7J27VpmzpyJVCrFwcEBb2/v50rot27dmokTJ3L06FGMRiPfzZuXpdXPY7mcUlotarUa\nrVZLSEgI8+fP56+//sJkMrF79248PT1p3bo1wcHB+Pn5MXjwYD744APi4uLQarW4ubkxZMgQKlWq\nhFarxdnZGblcTlJWZQ/PZsG0Wuzt7dFqtdja2nLl6Y9OQkICKpWKUqVK0bhxY+Li4hg6dCg6nY6Q\nkBBLiXUhBQQrZl5PnDhBkyZNMBqNfPLJJ+k8ngs64eHh7N+/P6/DyHf079+fNm3a5HUY2eLGjRtM\nmjSJ0NBQTCYT3bp1Y9++fc9dMTtw4AAmk+m5Yjr5HVEUKV68eIHqeX9VYmJicHR0zLH9xcfHExQU\nxKBBgxBFkRUrVuDq6pqhVPZ1MH78eLp3786+ffswmUz5Ur395s2b2Nvbv5SP+U8//USnTp2wt7en\nV/36VpXGFq7UZhNrFZElEj788EOMRiOVKlVi1qxZloWj69ev065dO4xGI2PHjk23evvxxx8TERGR\nqVjaH3/8gb29PRs2bKBo0aKWSafExEQcHBzo1KkTnTp1wtXVlZs3bwJpNj1+fn4oFIoM45rLly/T\nvHlzNBoNZmuSWUEo0BaXBS+htXKWI0EioV69egwcOJB58+axfPlyZs6cydixY/H29iZQLmeuUskD\nuRyzIPCPIDBdECil1Vr6ayUSCSaTiYoVK1KnTh1atGhB69atUavVeHt7Y2Njg1qtZujQoYwfPx4X\nFxeaNm3K9evX0w1gDh06hJeXF87OzqxcuZKvjEZSsij5TZFKedSxI7t27UIqlSKVSjl+/DjHjx/n\ngw8+QKPREBoaikajoWnTphgMBqRSKQaDwRK/IAjY2dkRFBREgwYNMBqNNGzY0GrvWLMgsGnTJhYs\nWIBOp6N06dKWmfhq1apRpkwZtFotSUlJDB06FHd3d1xcXAoFbgoSVvTGPJJKCXd2ZtKkSZkKbRR0\nqlSpwnfffZfXYeQ7EhMT8fDweGOTpStXrjB69GhKlSqFh4cHffv25dixY5bf0G3btmEwGJ5b3fOm\nMHHixDdu4iEvKV68OOXKlcuRfd24cYPAwEA++eSTdKvkixcvxt3d/bW3chw9epSAgADc3NzydY9p\nkyZNmDZt2ktvf+/ePU5WqlRYQpobZHMlMzk5mU2bNtGsWTNsbW3x9fXFxsaGwYMHZ2p5ZjabiY6O\nzuA6AjBz5kyaNWuGt7d3emVi4MMPP8THx4etW7fy6aefUrlyZYtwX0JCAiaTCW9vb1atWsXIkSOp\nWrUqOp2O0NBQevfuzcMsWiXTXTMFtHy94CW0VvTQJgsC56tVY86cObRs2RJXV1c8PT1p06YN8+fP\nf64gklku55FUSgOVipCQEPbs2cPp06fZt28fmzdvZtmyZUyfPp26detaxJe0Wi21atUiPDyc4sWL\no9PpkEgkSCQS7OzsKFKkCMWKFUMikeDl5YXRaOR+Fsnss7/7Mhk+Pj6W5FQmkxEYGIiHhweyp15Y\nNWvWpHnz5ri4uCAIgsV/dtq0aZYEWxRFPv74Y+rVq4coijxWqaybAftX6cOhQ4dQKBRER0djNpv5\n8ssvMRqNeHp6MmXKFKpUqcIXX3yBVCrl3LlzeXiBFPJaseJ+TJXJSOnSJa8jzbdUq1btudUdBZ1V\nq1blS4Go7HL27FmGDh2Kn58fRYsWtYjO5Afl11flzp072NnZce/evbwOJd8jiiIajSadrsbL8ssv\nv+Dn58fYsWMzfX/evHl4enq+sCQzp3nw4AEymSydm0N+ZM+ePZQoUeLVSuULS0hzB2vG+BIJd/6l\nsH737l0GDBiAvb09UVFRVKpUCScnJ7p06cKBAwcy/J8TExMJCgpi8fDh6VqlkmQytvv40KNOnQxh\nnT9/HqlUyuXLlzGbzdSuXZs+ffpw6NAhRo8eTfHixS3WmQ0aNGDLli3pqgCu1KiR9QSIIGRcoS5A\n5esFL6G1YkUoRaWiiocH0dHRXLp0CVEUuXjxIrNnz6ZTZCRJWVxQyUol5hfMbB44cAClUolUKuWd\nd97JULpw6NAhihUrRq1atdi5c6fFU1Ov1/Puu+9avUIqPu3xFQQBZ2dn1q5di06nw87ODj8/PyQS\nCc7OzrRr1w5nZ2eqV69Ow4YNqV27Nt9//70lyR4xYgQuLi7cvHmTzz77jOmCkOUKcWYzi9u3b0eh\nUBAVFcW4ceOQy+VcvHgRo9GIRqMhISEBpVJJv379cuVfX0g+pPCh/srUrFmTbQXgYfUyPBOImjx5\ncl6HkiOIosiAAQOwsbHBZDJRqlQpRo8e/VqTjtygefPmTJkyJa/DyPfcuHEDjUbDF1988Ur7uXLl\nCl5eXlkKp82cORNvb+80X8/XwIcffojJZGLNmjWv5XgviyiKFCtWjL179778TqwsjS3IJaQvhRVj\n/GSlknccHenQoQMDBgywJK+///67ZTe//vorn332GcWLF8fHx4dhw4alq1j4Y8ECHggC5v+04D0R\nBMwaTYYE8s6dO8hkMkaOHMnnn39OtWrVkEgkeHt707NnT5YsWYKtrS179uzB09OTgQMHkpKSYvGj\nDXd2JlWttu6ayeyvAJSvF7yEFqzq2Xv06BGff/45Tk5O9OnTx+IbuCsw0CpBpBeViaxevRpBELC3\nt+f999+nZs2aGRTWHj9+zMcff4xcLqdq1apERUWhVCq5fv261c3hol7P5MmTcXR0RC6XU6ZMGQRB\nQKPRIJPJqFSpEsOHD2ft2rVUrFiR33//neJKJcfeeYcUrRazIJCi1TJDEJjWuzdhYWH4+PjQPiIi\n29ZHz/jwww8JCAhAoVDg6urKDz/8wPjx41EoFNy8eROFQoGjo2O6H5ZC3mIKH+qvTL169di0aVNe\nh5FvOXfuHAaD4Y0QiHoRoigycuRI/Pz8uHbtGmazmX379tG1a1eMRiOhoaFMmjTpjRRK2717N6VK\nlSoUh8qCnTt34uDgwNatW196HxcuXMDDw4OZM2da9fnJkyfj6+ub68/kpUuXUrRoUUaMGEGPHj1y\n9Vg5wZQpU2jWrNlLby/a2BRO5uYWWYzxH2/YQFxcHBqNBpVKxZAhQ57r2y2KIidOnKBXr144OztT\noUIFlowYgajRZDkGNl+6xI8//sjEiROpWLEiUqkUjUZD9+7dWbt2LTt27MBoNFr0ZapXr86aNWu4\nffs2UVFRvPvuu7Ru3ZpSpUrx22+/Pfe8zIKQ9UJXAShfL5gJLVjU0kS9nlQhrQf271atMiRh8fHx\ndO7cGZPJxIQJE0iwcjbkH0HAz8/PYuEzbtw45syZw+rVq/H19UUQBLp168Zvv/1G69atCQsLszSk\nQ5o8fHR0NLVr18bBwQEnJydatWpFu3btWO/qmmVS/URIkyV/dgPZ2Nhga2vLkiVL8PPzIzo6GhcX\nF/R6PWXKlGHdunWYt2zJ1A/2mbfsV+3b4+joyOXLl0ndvJlkpTJDHE+ezn49r7whMTERe3t7/Pz8\n0Gq1NG7cmM8++4yKFSsSFhZmMZ0u7KkqIFg5OXNfJmPSpElpP+qFpKNBgwasW7cur8PI1/Tv35/Y\n2Ni8DuOlMZvN9OjRg+Dg4EwT85SUFL755hvatWuHg4MDVapUYdasWW+Mx6vZbMbPz69QrTsLvvji\nC2xtbV+6t/XMmTO4urqycOHCbG03YcIE/P39uXXr1ksdNytOnjyJwWDgzJkzHD58mNKlS+fKcXKS\nf/75B3t7+5f6Tg4ePMgSG5uXqnQrxEoyUURO/eADlsfF4e7uTsOGDTlz5gznzp2jZs2aBAYGZlnp\nlJKSwvbt29lZtGiWY/BkiYS5KhUBAQF06dKFdu3a0apVK4oUKZLOZm/q1KkWNe/Zs2dbJknu3btn\nEZ/dsmXLC88rqxLrgjI5UnAT2n+hVquxt7d/YZP/qVOn8PX1tVppTJRIiI2NpWzZsuh0OvR6Pf7+\n/hQrVgypVIogCLi7u+Ps7IxarUYqlSKTyfDy8iIkJARXV1eMRiM+Pj54enoSHh5uEWtqUrZslirH\nj6RSPoiKwtbWFrVajVwu57333qNr166Wgd22bdvQaDQolUqenDuXZTnDQ6mUEa1bc+zYMcqXL0+z\ncuXS+hD0esyCQKJEwjy1moomEw8ePMj0e7x79y56vZ4iRYowc+ZMFAoFfn5+fPXVV9SuXRuFQkFi\nYiKurq4cO3YsV/7fheQjunZFzMoXWqHgl3r1aP90QiU8PJzJkydbVAILOk2bNmX16tV5HUa+JjEx\nEXd39zdSDTo5OZlWrVpRuXJlS6XQi3j06BEbNmwgJiYGvV5PrVq1WLx48Uupsr5OxowZQ4cOHfI6\njHxN+/btkcvlz11NehE//vgjLi4urFix4qWO/dlnn1GsWDGLT2xO8Wzg/kypOzk5GVtb23QT/PmV\nzp07ExcXZ/XnU1NTGTVqFCaTiW9nzXrpSrdC/kMWtn+pqaksWbIEHx8fatSokcFJQxRFtmzZQkBA\nALVr185a4dvKiXizra1lk86dOzN16lTGjBmTrgdeFEViYmL43//+x+3bt9Hr9Vy4cIFSpUrxwQcf\nsHXrVpydnRk7dhY927YAACAASURBVOxz1e7Fwko3oDChBcDV1RW5XE6dTBq5n/HPP/9gMBisXqH9\n90yIKIqcO3eOGTNmYDQaEQQBhUJBk7JlufDee5htbBAlEh4plSzW6ej2dLYoMjISX19fypcvj0aj\n4Z133rGISXVyd+eBRJLpCmmSIFBfLsfR0ZGQkBAMBgMymQypVIpCoaBfv36sX7+e3bt3Exoaikwm\nY6WjY5azhU8EgW2+vri4uLBo0aJ05WEdO3ZEoVDQsmVLihUr9twf+V69etG1a1caN27M4MGDcXR0\nRCaTUa1aNQ4fPoxMJmPRokXMnTs3rV+4sATt7ebKFZ7I5VY/1J88ecLWrVtp27YtDg4OvPvuu0yb\nNu2NLyd9FVq0aMGyZcvyOox8z6pVqyhduvQbJRD14MED6tatS926dZ87Sfgi7t+/z4oVK3j//ffR\n6/U0bNiQr7766qX2lds8s7zI74l3XlKmTBnc3d2zvd2RI0cwmUyvXMnxySefEBQUlGMr/2azmTp1\n6tCrV690r9eoUYMNGzbkyDFyk59++gl3d3erflNu3rxJZGQkVapU+f/y7aclpBlW+wqQkM8r84Ly\nYlGr5cCQIZQoUYJKlSpl2fP85MkTJk2ahMFgoGfPns8XqnuJBLJixYrs3buX27dvY29vn86iJzEx\nkcDAQNaNG8cak4kEIa2EWHyamN/ct4+wsDDq16+fLqbr168zcOBAEq2Np3CF9u2nePHieHt7o9Pp\nMvWWgjQz7ebNmzNTKiU5q4vmOWUiJ06cQKfTpakI163LQ6k0Q3lv8tOEdERoKK6urjg4ODBw4ED+\n/PNP9u3bh6urKzKZDIlEwnteXqxzdSVBIkGUSBAVCkS5HFEQSBDSbIT6PrXbcXR0RCqVEhQUhI2N\nDY6OjhQtWhS5XJ6tRD1BIsn0Yfas33jHjh3Y29tjZ2eXoRTn8uXLODk58eeff3Lz5k0MBgMRERG4\nuLjQs2dPvLy8cHFxwWAwcGr9elY5OpKs0RRI+fGCwoIFC+jg6prWj5JNc/nHjx+zadMmWrdujb29\nPVWrVmXGjBn8+eefr/ks8pbY2FgWLVqU12Hke940gai///6bypUr07p165dakfsv9+7dY/78+URF\nRWFnZ0erVq3YvHnzc595eUGjRo2YNWtWXoeRLxFFEa1WS/Xq1bO13f79+zEajWzevDlHYvj4448p\nU6ZMjqygjhgxgoiIiAzX9+jRozMkufmV8PBw1q9f/8LPbN68GWdnZ+Li4khNTU33nvnSJaYJAsla\n7f+XkHbvXjjWsQYrBKAeSqXsnT8/W4sjt2/fpkuXLphMJmbMmJFxwiKbYpaiKGJra2tJYtu2bcvn\nn3+ebpe/zJxJ0tOFo8zGQclff03Pnj3x8fFhypQp1K9fHycnJ3r37s3fLVtmXXZcAMrXCxNa0mZO\nqlevjre3d6Z+jn///TdOTk707NmTYgpFmoLZCy4cs0aT6Y9RgwYNkMvl9G/UiJQsrG+SBIEKBgMx\nMTHUrl3b0nf6rJ929+7dtGzZEpVKRVMbm7Rj/ueCfrZa+/OECSiVSmQyGcnJyaSkpLBmzRqcnZ2x\nt7fnyy+/tLqU2iwITJgwIcO5ffXVVxQpUoRZs2YxevRo/Pz86NSpU7rPPOuXfcazFWsPDw8A4uLi\nkMlkzGnYkAcSSQb1uMJZy7eLffv2YTQa08p7MusLycZD/VmZZYsWLbCzs6NatWrMnj37jekhfBU6\ndOjAvHnz8jqMN4Kff/4Zg8GQ42WTOc0ff/xBcHAwH3300XPLzF6F+Ph4pk2bRuXKlXFycqJTp07s\n2rUrw2D7dbN9+3ZCQkLyNIb8yo0bN7CxsaFnz55Wb7N7924MBkMGT8xXQRRF+vXrR7ly5awqgX8e\nmzdvxsPDI9PqmoMHD1K2bNlXCfO1sWzZMqKiojJ97/Hjx/Ts2ZMiRYo8t93h4sWLSCSSwsqEl8EK\nix7xFRK5kydPUrVqVYKCgti1a1e2jvvvBPKXX37B1dXVsvmxY8fw8vL6/9/bK1fStGdedB5aLfMG\nD8bZ2Rm5XE6bNm3+X0zWisS+IJSvFya0QK1atWjXrh2hoaGZ+p8NHz6cunXrotPpaNq0KWzb9txy\n30cyGR/6+fHo0aN0+zh//rxldTahdes0JeQXXHxPBIGpgoDRaMTGxgYvLy90Oh1Dhgyhd+/edO/e\nndTUVEqoVFnaCD2USvETBIoWLcrp06cBLGUPW7ZsoVq1avxjbUJrY4PBYODs2bPpzu/YsWN4eHjQ\nsWNHHj16hLe3N3Z2dpbj7d+/nyJFivDw4UPLNmazGQcHB+RyOYmJiezbt4+6xYpl2R9cEG7Mt51r\n167h4uKSowOtZzx8+JC1a9fSrFkz9Ho9NWrUYN68eW9ET9bL0LlzZ6sVSwuBfv365WuBqGvXruHn\n50dcXNxrabn49ddfGT9+PCEhIbi4uNCjRw8OHjyYJ+0eqampeHl5ceLEidd+7PzON998g5ub2wu1\nPv7N9u3bMRgMmU7SvyqiKPLRRx9RoUKFl0rELl++jNFofK6P8pMnT7CxsXkjvIkfP36MyWTi4sWL\n6V6/ePEiZcuWpWHDhi989kybNg21Wp3bYb6dvAbbP1EUWbduHT4+PjRo0CBNkTibCeSWLVsyTHqE\nhoby9ddfk5KSwvdBQVlWfj4RBHYGBHDo0CHOnz9PyZIl0ye1Vri3vO0UJrSkeeANGDCAkJCQDLOC\nf/31Fw4ODhgMBiIjIy0rIYFyORvc3RFtbTELaaW40yUSgp/6AzZs2DDdftq2bYtaraZWrVpW34Qp\nOh0mk4kVK1bQvHlzwsLCaNSoEfb29kilUho0aMACtdoqxePZCgW1atViyZIlQFovTPv27Rk0aBAm\nk4mVjo5ZmzY/nXGaPXs2ISEh6cqE7t69i06nIygoCIANGzbg4uJCVFQUZrOZ0NDQDH1+oihib2+P\nXC5nzpw5bNu2jU2enlkm+wWhdOJt5pkp+eso/UxKSmL16tU0btwYvV5P7dq1Wbhw4RsxULKW7t27\nM3Xq1LwO440hPwtEnT59Gnd3d6uTlpzm4sWLxMXFUbx4cby8vBgwYAA//fTTa01u4+Li+OCDD17b\n8d4UJk2ahLu7Ozt37szys19//TVGo5GDBw/mWjyiKNK1a1cqVarE/fv3rd4uKSmJUqVKMX369Bd+\nrlq1am+MHdmgQYPo3bs3kPa9LFy4EIPBwIwZM7K8d5o1a4afn9/rCPPtw8reUVEiYd++fRnsMbPD\no0eP+Oyzz3BycmLAgAE8WLs20wRSlMtJEgR+nzPHsu2YMWPo06dPuv0tWbKEatWqUbduXZL+W41o\nRWKelJREmzZtKFmyJBcuXEh78V+VbmZB4LFKVaDK1wsTWqBLly6MGTOGcvb2zFUqMdvYWPo2DwQH\nE2xjw/Tp0wkKCuLEiRM8fPgQqVTK3LlzefjwIWq1GhsbG+zt7dHr9QwfPhyZTEZERATx8fEcOXIE\ntVqNRCIhOjra6vJepFJOnTqF0WhEr9dbZvnMZjPVqlUjLCzM6mbwfwSBMmXK0KdPHx4+fIiDgwN+\nfn40atSI8+fP4y+V8tDKlVFRFKlduzYjRoywfIfPegQ0Gg1JSUmWfjWDwcCgQYMoX758htK5n3/+\n2aI65+XlxZo1a3iQVTKbAzNuheQdqamp1KtXj86dO7/2FaD79++zcuVKGjRogF6vp169eixZsoR/\n/vnntcaR0/Ts2ZNJkybldRhvFCtXrsx3AlGHDh2yTGDmNaIocurUKQYNGoS3tzeBgYGMGDHi/wdO\nucjvv/+Og4PDKw0+30Y6duyIvb09169ff+Hn1qxZg8lkei0uAWazmY4dO1KlShWrhMZEUaRly5bE\nxsZm+fv/6aef0rdv35wKNVe5fv06Tk5O/PHHH7Rs2ZISJUpYqtOyIjAwkPr16+dyhG8pVi4OPVQq\nqVChAlqtlqCgINq3b8+MGTM4duxYtjUEbt26Rbt27XB1deWrMWMQu3XL0Cq1aNgwKlasaCkpbtWq\nFQsWLEi3nytXriCXy2ncuPFLqxSLosjs2bMxGAwZnA6WL19Oo0aNXuJLfXMpTGiBgQMHsjI2lgdC\nmnfUf1c3H8vlPN6wAY1Gw+PHj7lw4QISiYS7d++SmpqKVColLCyMwMBAIiIiqFGjBo0bN0YqlSKR\nSJDL5chkMkwmE3PmzCElq1KFfyVtycnJBAYGYjKZGDVqlOUhsGvXLoxGY9Zmyk//zIKATCbD39+f\n6tWro1KpWL16Nffu3aNYsWKo1WpqC2nlyZl9Bw8EgctTpli+s5s3b2Z4aAYHB1OyZEn27dsHpCWs\ntra2KBQK9uzZk+F7nzlzJm3btuXChQvIZDJ69Ohh9fm87fLjbyv9+/enatWqOSJy8yokJCSwbNky\ni/prdHQ0y5cvJzExMU/jehn69evHuHHj8jqMNwpRFImMjGTKv37T8pIdO3ZgNBrZvn17XoeSAVEU\nOXz4MD179sTV1ZUyZcowduxYfvnll1w7Zr169Zg/f36u7f9NJDQ0FKVS+cI+52XLluHi4sLJkydf\nW1xms5nY2FiqV6+erqUoMyZPnmzx3MyKffv2Ub58+ZwKM9epXLkyBoOBzp07Z0tFXKPRMHbs2FyM\n7C0mm72sT5484fjx48ycOZMOHTpQqlQptFot77zzDt26dWPhwoWcPXvWKi2Bo0ePEh4eTkhISIZq\nH7PZTGRkpEX4qXTp0unGyidPnsTT05OqVavSo0ePtEW0V1jIOX78OD4+Pnz00UeWBP3KlSsvpYj+\nJlOY0AIz+vbN0jokVa2mXvHiQFpJlEajYdGiRfTt2xdBENBqtUilUjw9PVGpVHz++eeMGDECo9GI\nTCZDEARGjhyZlpBm4yYcO3YsNWvW5ObNm5QqVYrevXtjNpsRRRGdTscjKw2VH6tUGAwGBEFArVbz\n9ddf89dff1G0aFGUSiV6vZ727duTcuECKxwdeahQpHnLSqVs9fEhSKNBIpFQp04dfvvtNwBWrFhB\n8eLFLf3CDRo0oGbNmkycONHy3YaHh6NSqZjzr/KLZ7Rs2ZIxY8awfPly9Ho9Uqn0pWyRCnkzWLhw\nIX5+funk6vMDf//9N4sXL6Zu3boWa5NVq1Zlq4wuLxk0aBCjR4/O6zDeOM6ePZsvBKJWrlyJyWTK\n1fLQnCI1NZU9e/bQuXNnnJycqFixIlOmTMlx26xNmzYRFhaWo/t8kxFFERsbG/z9/Z/7mfnz5+Pm\n5sbPP//8GiNLIzU1lRYtWlCrVi0eP36cqS/ozQYNeMfRkWvXrlm1z8ePH6PT6fJ9BY3ZbGb8+PHo\n9Xp8fHyyVXkUHx+PTCbjwIEDuRjhW0wOiCElJSWxf/9+Jk2aRIsWLShatCi2trZERETQt29fVq1a\nxdWrVzP9v4qiyIoVK/D09CQmJoZff/3V8t7ve/cyX6UiVafDLPy/Bc938+ZZVlQPHDiASqVirlKZ\nwfHkRYl5Zty7d4/69etToUIFfv31V0RRpLyDA/djY5/rz/u2UZjQAmciIrK8mJIlEhbZ2FC0aFGk\nUikqlYpWrVoxZswYlEolQ4YMoVy5cgwePJjmzZtblICfzao6OztTqlQpIiIiOL1xI6IVN+Evu3fj\n5ORkeQDcu3ePihUr0q5dO86dO4dCoWCGkInM93/+nggCC3U6VCoVEokEiUTCtGnT0Ov1ODg44Ozs\njKurq2UAv3v3brRaraWXq2XLlpQtW5aBAwfi4OCAUqmkadOmHD16lKZNm1rKgnr37k1MTAwxMTEA\n3LlzBycnJ+zs7DAYDPz222988803xMXFUadOHaRSKc7OzjRq1IjIyEgcHBxY7eSUpkr3Cjd2IfmP\nAwcOYDQaOXfuXF6H8kLu3bvHggULqFWrFnq9niZNmqSVwudD385nDB06lJEjR+Z1GG8kffv2pW3b\ntnl2/BkzZuDm5sapU6fyLIaXJTk5ma1bt9KmTRvs7e2pVq0ac+fOzRHxtZSUFNzd3a0u23zb+f33\n37GzsyM6OjrT96dPn46np2cGYaLXSUpKCo0bN2ZEaGja+CYT14UUlSpb4jSRkZFs3bo1F6N+NeLj\n46lZsybh4eFcu3YNHx8fjhw5YvX227dvRyaTvZJadIEnF8SQ7t27x86dOxk9ejTR0dG4ubnh5ORE\nzZo1GTp0KF9//XU6W8qkpCRGjBiBk5MTw4cP59H69aDVkvqf3thUmYwHgsC3ffrQsmVLnJycCAgI\nYFb//jmiUmw2m/n8889xdnbm+Kef8kgmK1BuIYUJLfAkCxueZ38PFAqOHTuGWq1O1/Og1+vZunUr\n/v7+NGnShBMnTuDh4UF8fDz29vYIgkDjxo1JTU1lzpw5uLi40KVIkRd6TolbtxIVFZWulFAURUtp\nmkKhQK1WE6TRZNn7+kAQKPo0kdVoNCiVSgRBIDg4mJ9++gmpVMqOHTssx/nnn3+QyWSULFnScg7f\nfvstnp6e/Pnnn7Rq1Qqj0YirqythYWE4ODiwZ88epkyZQvPmzfH19SU5OZlmzZpRtWpVwsLCkMlk\nKJVKIiIi6N+/PzNmzMBkMllmvX744QecnJwoqVbzKIsGebFQ5fiN4plkfX4sp3wRd+/eZe7cuURF\nRaHX64mJiWHdunVWlcu9TkaOHMmwYcPyOow3kmcCUa97hUQUReLi4vD19eXq1auv9di5wTNl8SZN\nmlj605ctW/ZKVQ5Dhw6lR48eORjlm8uOHTvw9fWlX79+Gd6bNGkS3t7eVq985ibJ589n+fzOjkvB\nJ598woABA3I56pfjm2++wdXVlSFDhlh68ceNG5etCbKBAwei0+lyKcICxCva/lnDzZs32bhxI0OG\nDKFGjRo4ODjg7u5Ow4YN+eyzz/j22285ffo0H9Wtm6VTxwNBYM7AgSQkJLB7925KliyJuHVrjiXm\nh5cvL5BuIYUJLVjdkG0WBGJiYvD19aVDhw6W7Q0GA5cuXUKn01G6dGkgTaGvUaNGeHl54eDggIeH\nB1u2bAHSSnUFQaCkWs10iYQEiSRNKOpfN+HSpUsJDg4mOTmZ5ORkVqxYQbly5QgICGDq1KlUqlQJ\nBwcHoqKiaO/igqjVZmojlCQIHB4xglu3biGRSBAEAUEQUKlU6PV6QkJCiCxSJF150COlktVOThRX\nKvntt9947733WLduHc2bN7cMnJcuXYqTkxMdOnTA39+fAJmMDW5uJD49lwRBYIYg0LNePWbOnImv\nry9arZbff/8dgEWLFtGsWTPLd2g2m1Gr1bi7uxOtVJIkZOxnFhUKHkqlbCsc5Lwx3L9/n9KlS/PF\nF1/kdSivxO3bt5k1axbvvfcednZ2tGzZko0bN2aw58oLRo8enandWCHWsWLFCoKDg1+bQJTZbKZn\nz56ULl063Sz/20JCQgJLly61lPA3bdqUdevWZfteeSa0k98mkPKCiRMnUrx4cWbPnp3u9dGjR1O0\naFFLG1Ce07VrjlZYfffdd4SGhuZy0NnjyZMnDBgwAHd3d3bv3p3uvTt37mBvb291W01ERAQlS5bM\njTALyWVEUeTKlSusXLmSPn368O6772JjY8MyvT7D2DXDosy/7gFRFClevHiavda/EnNRIuG+TPZy\niXnXrgXSLaQwoQWrRZoSn4o8SaVSpFIpvr6+tG3bFnt7e7Zv346bmxsajQZRFNm4cSMymQypVMrE\niRM5ePAgJpOJ9evXo1KpaNq0KVevXkWhUKBQKNJmaJ6uVt69exdnZ2d2797N+PHj8fT0pEqVKmza\ntMmiFDx69GiCg4Px8PBArVbz/YIFrHRy4r5Umtb7KpGw1ceHEDs7fvzxR5o1a2ZJZBUKBVKpFLlc\nTi1B4IlCkWFWKFUq5aFUypiICGbPnk2zZs347bffcHR05MyZM+zevZs+ffqg1+up/1Sm/L8JdapU\naplZ+v7779Hr9bRq1QqADh06pLOmePToETY2Njg7O2Nra0v7iAjmKJUWW6THajV0787pjRtxcXEp\nNCF/AzCbzURHR9OpU6c88bTMLeLj45k+fTpVqlTB3t6eNm3asHnz5rTesTxg3Lhxma7cFGIdoihS\ntWrV12J9lJycTJs2bahUqVKBKDO8e/cuc+bMITIyEnt7e2JjY9m2bZvVonA1a9Zk6dKluRxl/qdD\nhw74+flZPGVFUWTYsGEUL148f02K5LAv6KNHj9DpdPlGrO/q1auEhoZSt25dbt++nelnYmNjGT9+\nvFX7MxqNljFRIW8+qamppOp02b4Hpk+fTuPGjdPt6+7du9jZ2b3c2Ok1+PPmRwoTWuBuTIxVpsaP\nO3VCr9fTqFEjatSowTvvvINSqUQqleLg4GBJdNu2bUtMTAwKhQKlUml5eA8YMACpVIrJZLL05Hl7\ne1OmTBlsbGwICwvjhx9+oHHjxpQpUwYHBwdatmzJ8ePHM8QcExPDkiVLiI6ORiaTUb58eapXr46n\npyceHh5s376d5ORkqlatikqlIjY2lmelz35+fowdOxbfpyu4LyyNkEhYNGwYarWatm3bYjKZkMlk\nhIeH07t3b9aPH89jK0uMGjZsiE6n48cff8Tf39/SH5WYmEhkZCRGoxEnJyciIiLQarU0aNAAgPHj\nx1s83iDN03fw4MG5fVkU8ooMGjSIiIiIbMviv0ncunWLqVOnUrlyZRwcHGjXrh3btm17rec8adIk\nevbs+dqO9zbyOgSiHj58SL169ahTp06+7snOLW7dusXkyZMJCwvDYDDQpUsX9u7dm8HO7d9snzaN\n9a6uBUbUJANPxZWSZDLMgoDZxgaxa1fGdOpE6dKl+fPPP/M6wvS8pP3Ii4iIiEjXEpVXrFixAoPB\nwJdffvnCJOPw4cP4+vq+8LqGtOoluVzOjBkzcjrUQvISa71x/3UP3D95krkqVTrLULp2JdTJyVLV\nmBsxvG1uIYUJLXBr//4s680fyWRsmDCB+vXrExsba/GUevToEZ6ennTt2hU3NzcEQcDV1RW5XI4g\nCEgkEipVqkTr1q2xtbVFqVRSvXp1yw+iv78/UVFRVK5cmaFDh6JQKBAEgQ4dOrywjCggIIAzZ84w\na9YsvL29EQQBqVRK69atSUhIYN++fQQFBVGtWjWMRiNarRaj0ciKFSvQ6XR069aN9a6uVglKzZBK\ncXV1pX379uzfvx8vL6//t+GxQrE5WRC4Wrs2V69eRafTUa5cORwdHTGbzdy5c4fy5cvTpUsXwsLC\nEASBS5cu4ezszDvvvIMoiixfvtwiNAVw48YNHB0dc9U2opBXY8mSJfj6+nLnzp28DuW1cePGDb78\n8ksqVqyIk5MTHTt25Jtvvsl1i6KpU6fS/S0rHcoL+vbtS7t27XJl33///TfvvvsuLVu2zHPLqvzA\ntWvXGDNmDMHBwbi5udG7d2+OHDmSPlHYti3TVpq3WdQkHU/Fbv5bwpvytHoqYdWqvI4wI1auDCVK\npfTo0YN169Zl+YwYNmxYnrZU3L9/n/bt2xMQEMCJEyey/LwoioSEhGSpGXHw4EF0Ol0Gy5dC3nCs\nvAcSJBI++eQT4hcuBK2WFKk0w+/cQ6mUY3FxuRZD4QrtW8j9+/dpoFLxUCrN8PAUFQqSBIFPw8Op\nX7++pTfo66+/tmwfFBTE6dOnWb58OZ6enlSrVg0nJydLQuvn54dKpcLR0dFi7xMQEED//v0xGAz4\n+/tjY2ODl5cXBoOBhg0b4ujoyLBhwzKKaly5wpNOnUgQBESJhMcqFfPVanwFAY1Gw86dO4mNjcXD\nw4OvvvqKq1evYjAYkEgkdO7cmTFjxlCiRIm03iQrLX/uy2TExsbSsGFDANauXUtQUFBaz5mVN859\nqZSiRYtSq1YtVCoVoaGh3LhxgxIlSjBo0CD++usv1Go1RYsW5bPPPsPX15eSJUuycuVK9u7dS+XK\nldN9DSNGjKBFixa5fm0Ukn0OHTqE0Wjk7NmzeR1KnvHrr78yceJEKlSogMFg4H//+x+7du3KlT7N\nmTNn0qVLlxzfb0EjMTERNze3HLfPiY+PJzg4mA8//DDLVZuCyLlz5xg+fDj+/v74+vry8ccfc+GZ\nQIoVlT9vJTlgR5IXXIqKynKSXFQo+KNxY8aOHUvt2rXR6/UEBQXx4YcfsmbNmgyrzrt376ZixYp5\ncj4//fQTgYGBtG3bNlsCZ/PmzUsnHJoZU6dORaFQ5Dsbu0JeESsWecwyGSudnAi2scmySjJZoXip\nHtrs+PO+LRQmtKTNqEmlUkrrdGzz9SVBIkGUSEiUSKB7dxqWLo1er0en05GQkEBYWFg6VcyyZcty\n/Phxzpw5g5OTE/b29jg6OtK0aVP69++PUqkkJCQEmUyGnZ0dERERqNVqypQpwzORJqlUio+PD4GB\ngaxfv57Dhw/TokUL3N3dWbRoUdpA6OmMrfk/zd5PhLTS4K7e3kgkEpo1a0ZiYiKXL1+mSJEi1KtX\nDw8PDyIjI6lcuTIKhQI7O7s0ISor/syCgJ2dncUTThRFIiMj03pgs1FeceDAAaKjoxEEAaVSiYeH\nB2PHjkUURZo0aYKLiwt9+vTB39+fUaNGcejQIVxcXDh69Ci+vr7p/mdJSUm4u7vzww8/vO7LpZAX\n8Ouvv+Lq6moRQCskTdxm3LhxlC9fHpPJxAcffMB3331nlXm7NcydOzedSF0hL8+KFSsoU6ZMjk08\nXL9+naJFi/LJJ5+8VX3kuYEoipw4cYL+/fuzWKfLsg3obRyQWXjDBqRJSUl06NCB97y8SFWrs5WI\np6SkcOTIEcaNG0edOnWws7OjRIkSdOvWjdWrV3Pt2jV0Oh1JSUmv7XxEUWTy5MkYDAaWLVuW7e0f\nPHiAo6Mj169ff+5nmjdvjq2t7StEWUi+xIrJqMdyOVy5ws0GDbIUkEp5mofkdAz5cULsVSlMaJ8i\nl8vRaDScO3cOuVzOmjVrcHV15dKlS9jb29OpUyc0Gg23b9/G39+f8+fPW7ZtFBzMHw0bWgSMEgSB\n6YLAuc2bj3gftwAAIABJREFULeq+gYGBLFu2jOPHj1OvXj3kcrlFdVitVmMymbCxsaFXr17UqVMH\no9GIs7Mz4eHhuLu7856XV5qH2wsu0CRBYNnIkRiNRj7//HMMBgM1atRAqVSi0WgQBMEiVKVSqUiw\nMqF9qFTi7u6OTCZDq9USERFBixYtsLGx4UlWD69nN+W/pOmNRqMlqW3dujXDhw+nVKlSBAUFsX79\neiQSiaWcuFu3brRr1w61Wp1hQLho0SLCwsIKB4r5hPv37xMcHGzxYC4kI1euXGHMmDGULVsWFxcX\nunfvzvfff/9KK3eLFi0iNjY2B6MsuIiiSJUqVXJEIOrMmTN4eHi8FrGptwmz2ZzWS2bN8+ktK5mz\n8AaVDJ44cYKAgADatWuXtor5ir6gKSkpHDt2jAkTJlCvXj3s7OzQaDTUq1ePVatW8ccff+Tq+dy5\nc4f69etTvnx5rrzCgL9Xr14v1Prw9/cnJCTkpfdfSD7m2eLTf/RlzE8FVOvL5ezbty9X7/M/Fiwg\nSRAyqh2/xS0bhQkt8PPPPyORSCz9UyqVigULFtC2bVs++eQT3N3dqVOnDu+//z7vvfceDg4O/69w\nt20bD6XSDBduspC2aroyNpbIyEicnZ1p2bIlDg4O9OrVi2vXrtGmTRu0Wi1yuRypVIper8fLy4v2\n7duzdOlSjh49yrp16xg0aBArHR2t6nf9ymSyJIyOjo74+Pig0WjQ6/V4eHggCAIzZ87Ew8OD3cWK\nZTkL/EQQ2OLtzeHDh7G1taVixYrs2rWLCRMm4OzszHQhEy/d//ylymQs1OmoU6cOX375JRKJBG9v\nb2xsbPjoo4+QSqWUL18eFxcXxo4di62traWv5J9//sHd3Z0gjYZHHTqkEwcRP/iA90uWZFV+7CUq\nYJjNZho0aED79u0LJxis5NKlS4waNYrSpUvj5ubGRx99xIEDB7Kd3C5btqyw/D4HOXPmDAaD4ZUE\ndw4dOoTJZGL58uU5GNmbjyiK/PXXX/z0009s2rSJ6dOnM2jQIFq2bMm7776Lt7c3SqXS6uqht03U\nxEI2rAQ3bNjAvXv3XnuIZrOZiRMnYjQaWblyZfo3/2U/YhYEHqlUL+0LmpqaSocOHahevTrvv/8+\n9vb2BAYG0qVLF1asWMHNmzdz6IzSbII8PDzo16/fKwv7XbhwAZPJlKn6fXJyMgqForBV5G3myhVO\nVKzIQ6UynTfu9D59UKvVODg4ZMsydM6cOfzzzz9WH75FixZM/ugj6N6d+zIZqYKAmAv+vPmJwoQW\naNy4MRKJhG+//RYAR0dH4uLiWLFiBeXLl6dGjRrY2try999/U716dSQSSVpJmhXL+slKJf5P7X5G\njBiRzqph4cKFODs7o9VqUalUpKamcv78eaZNm0ajRo1wdHSkWLFidOvWzeqV0H8EwaKurFQq0el0\nTJs2jQcPHlCyZEkEQWD58uXIZDK2TJ6cZfyiVsus/v1xcnLi3XffRSaTsXv3bsqVK0flypUJsbPL\nssTosVzOvMGDadCgAYIgoNfrWbFiBSqVCpPJxOTJk1m5ciVyudxSit2rVy/L93RgyBCSns5u/Xem\nKVWtpq3JlC/8QAsyH3/8MZUrV84z65o3nfPnzzNy5EhKliyJh4cHvXv35ocffnjx5MBTBdRkjSYt\nAShoCrC5SJ8+fV5aIGrHjh0YDAa2bt2aw1Hlf5KSkjh//jw7d+5k/vz5jBgxgg4dOhAVFUVgYCBa\nrdbSM1m7dm06d+7Mp59+yuLFi9mzZw+XL19O+y1/g1YocwUrz/+xSkXNmjWxsbEhJCSEfv36sXXr\n1ly3uYmPj6dWrVqEhYVx7dq1F352x44dREREvNLxdu7cadHRSE1N5ccff+SLL74gOjoaBwcH/P39\n+d///seyZcu4ceNGtvefkpLC0KFDcXFxyVLMKTtUr14900mtU6dOYWdnV6hw/JbTtWtXpkyZku41\ns9lMZGQkCoWCpKwcQp7+JQgCvr6+6HQ6YmJi2LFjxwtblo4dO4abm5ul77tPnz7Y2dm99UKqBT6h\n/eWXX1CpVOlMst3c3OjYsSN37txBpVJRt25diyDS5cuXkUqlrFmzxqo+lyeCwM6AADp16sSwYcPS\nHXvYsGF88MEHliTvv5jNZk6cOEGrVq2snrFOFdLKiv39/QkLC0MulxMbG8uErl3ZUqQICU9ne/4R\nBOIbNYL58zMtD3oipCk7PytL+OOPP2jdujXC04R5wYIFiKLIjBkzGFCqFKJWm6EX4IkgkKpWs6V7\nd2rUqIFcLkehUKBSqVCpVCiVSgRBYOvWrTx58gSNRmPpMZbJZAwePJj4gwcRs0i6H8lkzCz04cwz\nli1bho+Pz3N9+QrJHmfPnmX48OEEBgZSpEgR+vXrx9GjRzMowL5KWV8hLyYhIeGlBKJWrVqF0Wh8\nK5VLk5OTuX79Ot9//z3Lli1jzJgxdOvWjXr16hEcHIyjo6NF2C8yMpK2bdsydOhQZs+ezfbt2zl7\n9qz1/uFvWA9pjpPN83/y5An79+8nLi6OqlWrotPpqFixIh9//DG7du3i4cOHORbajh07cHV1ZciQ\nIVYpdicmJqLT6V4phqSkJHQ6XaZ2V2azmZMnTzJ58mSLoGbRokXp2LEjS5cufaFbBKSNAStVqkRU\nVFSOlzOvX7+eSpUqZXh98eLFGAwG9u7dm6PHKyR/UatWLTZv3pzh9fj4eJycnJguCKT+V934v4ti\nEgmnIyIYNWoUpUqVwsbGBoPBgKOjI/369ePcuXPp9v2sbWbOnDlpL1y5wuUaNSxCsm/zxHeBT2jb\ntm2LWq2mdu3arFu3DoAiRYoQGRkJgJ2dHf7+/paSmkuXLuHh4YHBYLDaQFnU67l48SJGozGdsEFM\nTAyhoaEEBAQgkUi4fPmy5b1Hjx6xYsUKfH19USgUaQJVVhzrgUJB+/btOXXqFIGBgURERPD+U6Xm\n/5YGp8pkaYPf+fMzlAct1OkI0mgsSf7GjRvx9PTE398fqVRKyZIl2bVrF6mpqZQuXZqNEycySy7H\nbGtL6tM4luj1XN6xg7lz5+Lq6srJkyd55513WLVqFSNGjLAktDKZDJVKhSAIBAYGMmbMGPR6PU2a\nNGGuUpnWFP+i71cuZ65KlasekoVkzuHDhzEajZw5cyavQ3nrEEWR06dPM3ToUPz9/fHx8WHgwIGc\n2bgxy0met1Hw4XWzfPlyypQpY7V418yZM3Fzc+PUqVO5HFnOYzabuXXrFkeOHGHt2rV88cUX9O7d\nmyZNmlChQgVcXV1RKBR4eHgQHh5OTEwM/fr1Y8qUKWzYsIHjx49z+/btnGs3KKCiJhZe8fwfPnzI\nrl27GDJkCBUrVkSn01G1alVGjhzJ/v37X6qc9vHjx/Tp0wdPT0++++67bG1boUKF/7f6e0kqVqxo\nGY+8CLPZzOnTp5kyZQqNGzfGYDDg6+tL+/btWbx4Mb/++qvls2vXrrVojuSGAnlKSgoeHh6cPHky\n3es9e/a0aLIU8vYSGBj4XLeHnTt3Ulqny1Ll+LFcnm7B5urVq4wfP57g4GDUajUajYaiRYvyxRdf\n8Ndff/H1119TokSJtCrSZ9ZfBaSPtkAntH/++ScqlYqPPvqItm3bWrxlvb298fDwAECn06FUKi1L\n9z/88AOhoaEsXLgw230+jRo1Sld+4Ovri4eHB5999hlKpZISJUowffp0oqOjUavVKBQKgoODadmy\nJfNUKqt6aNe6uKBWq5k8eTJFihTh0dmzPMxiBuixXM7KUaP48ccfad68OXPmzEGr1dKsWTOcnJyI\njIwkMDCQ7777jqSkJORyOU2aNMHX15f333+fZcuWYTKZCA8PB8DFxYUSJUrQvHlzYmJi8PLy4tKl\nS9y/fx+tVsvvv/+Oh4cH33zzDaNGjbKoPwuCQI8ePejduzdubm7Y2NhkS7iqsB/l9fLbb7/h5ubG\npk2b8jqUtx5RFPnpp58YPHgwS/T6LH8L3urVq9fEs5nuadOmZfm5UaNG4evr+0oiMrmFKIrcu3eP\nU6dOsWXLFmbMmMHgwYNp3bo1ERER+Pj4oFQqMRqNhISEEB0dTY8ePRg3bhwrV67k4MGD/Pbbb7li\nOfVCng7GMkxovqWDsQxs20ZKJs/9FIkk2+efmJjItm3b6NevHyEhIdja2lKzZk3Gjh3L0aNHs5y0\nuXDhAmXLlqVBgwYvZTMzcOBAhg8fnu3t/s2gQYNeah9ms5kzZ84wbdo0mjRpgtFoxMvLi4CAAIxG\nI+vXr3+luLIiLi4uw9gkPDw806q8Qt4ezGYzarX6hercAwcOpMnTpPa/ftPJTyetvunVi9atW2e6\n/Y0bN/jyyy8pXbo0CoXC0rY3aNAgks+fL3CTggU6oe3evTsqlYq//vqLnj17MmnSJAA8PT1Rq9Vc\nvnwZlUqFvb29ZZstW7ZQu3ZtAKt9XJ/1+fzwww94eXmRkpJCYmIiEomECRMm0Lx5c56V8ppMJtzc\n3NDpdGg0GkqUKIGdnR2dIiMRNZoXHidVrWbP3LkEBgai0WhQqVQst7PLWrRJKuXbwEBKlCiBQqHA\n2dkZk8mEo6MjOp0OvV7PpUuXEEWRJ0+eEBUVhVarZe/evZbafBsbG4KCgti4cSOBgYH4S6Uss7NL\nK3MQBB4plWz38aGCwUCRIkXw9/enXr16vPfee5Yb8Zl90bNyZIlEYvWkgSiRYDQaOX369Ou/kAog\nSUlJlC1bls8//zyvQylwiAW9v/A1cubMGYxG43MFosxmM71796ZUqVLcunXrNUeXxoMHD7hw4QLf\nfvstCxYsYOTIkXTs2JEaNWpQvHhxdDodtra2lCxZklq1avG///2PuLg4Fi1axO7du7l06VKOlqTm\nKFeusESvJ9XGJp2wyts0CHsRcwcNYqmdHU80GpBKMdvaMkep5O6RI6+037/++osNGzbQo0cPSpYs\nib29PfXr1+eLL77g1KlTltVKURRZsGABBoOBGTNmvPQK/Pbt26lSpcorxbx9+/ZX7sWFtHvaz8+P\n8uXL07BhQ0wmE15eXsTGxrJgwQKuXr2ao8KGt27dwt7e3iLoI4oiNjY2eeatW8jr4ebNmxiNxhd+\nJjk5mXLlylFcqWSlk1OaaJNUSopOx1RB4MHp0xw5coSyZctmebw///yTpk2botVqkclkzJRKs7QE\netsmvgtsQpuQkIBKpaL703/m8OHDGTFiBFy5wny1mvtSKaKQ1ow9WybjzuHDQFrvw7PZkpTOnbPt\nlRceHk6fPn0ICAhAEAT8/PyoVKkSgiBgY2ODIAgUKVKE5cuX06NHD1xdXS01+PELF5IkZKy5T5XJ\nSFYqaeXoyMmTJ1m9ejVSqZRvv/3W6hXOB3I5devWpVSpUqjVaoulkFQq5ZlX7r8TTqlUik6no3jx\n4pQqVQqZTIYgCBQrVoy2JlOmJc7JEgkPJRLaPPV227RpE99++y0TJ05EIpGg0Wg4e/YsQ4YMwcnJ\nCblcbnVZN3o9U6ZMISoqqlBlN5cxm800btyY2NjYwu86L7Cy/eCtVYB9zfTu3ZsBjRun9R39S2U9\ntUsX+jVsSHh4eK6pzCYnJ/PLL7+wf/9+VqxYwdixY+nevTvvv/8+ZcqUwcnJCZVKhZ+fH1WrViU2\nNpYhQ4Ywa9Ystm7dypkzZ7KljJnf+OOPP3BwcMiVctA3gfbt22M0GtP1ybVv354xY8bk6HHi4+NZ\ntWoVnTt3xt/fH4PBwPvvv0+5cuXw9/d/5YniZ320ryLe+Kr7EEWRWbNmYTAYLBogz14/f/48M2fO\npHnz5ri4uODp6UmbNm2YN28eV65ceeXnXLNmzSz2XdeuXcPOzo6uXbu+0j4Lyd8cOHCA0NDQLD93\n7do19Ho9SqWSNm3aWK41W1tbhg0bxv3799FoNFlWUSQmJuLi4sKJEye4d+8ej7Ow+XwbJ74LbEI7\nYMAAlEqlZSAyadIkZkVHg1abaSKWolTCtm1MmjSJnj17pu3kyhVSs7hoUtVqft+7l6lTp1KzZk2L\nINKzxNDJyYlq1aohCAIBAQF8/fXXODg44OfnR8OGDS09FmazmSpVqlBSreZoaChJMplF3OmvFi3g\nyhVWr16NyWSy9I2ULFkSMRsrnKtWraJevXpIJBLKlStHhQoV6NSpExcvXiQ6Ohpvb28aNmyIp6cn\nz3xkW7VqxYwZMyxeve84OmbZE2BWq9PNsN++fRupVIpUKrX09iQkJBAQEMAchcLqWabk5GQCAgLY\n9raXouUxw4YNIzw8vFDROK8oXKF9rTxYu5YHEkkGlfVkiYRHMhmPXrJk0Ww2Ex8fz7Fjx1i3bh1f\nfvklffv2pWnTpoSFheHu7o5CocDd3Z2KFSvSrFkz+vbty+TJk1m/fj3Hjh0jPj7+rU721q5dS926\ndfM6jDwjJCQkw2D2+PHjFClSxOre7pdh/fr1GAwGAgMDcXd3x9XVlVatWjF//nyuX7/+UvsMDQ3N\ndu9tZvt4GSGle/fu0bhxY4KDgzl//vwLPyuKIhcuXGD27Nm0aNECV1dX3N3dadWqFXPmzLFUq2WH\nw8uXs8LeHtHWFlEiIVEi4XTlygWm0qAgsnTpUmJiYqz67OrVq7G1tcXBwYFx48YB0Lx58/9j77zD\nmyrbOPyezDZNOtIk3aWDAi2j0NKBZRRahoXKLLIKCEgZskRQQBTKEhGULQgyVVSUjQIqoCCCioDw\nyXIAsmQW6G5yf38UIpXRAIUycl9XLzR5zznPyTg5z/s+z++Hv78/UNgGefDgwdvuY/jw4XTo0AGL\nxcKJEydstgR6nCa+n8iENjs7G0dHR3r06GF97JNx48j5b+P0f/80Gib26kV6erp1u/Hx8WRJ0g1J\n8DWV4CRJQqfTER4eTrly5dBoNMhkMkJCQkhOTmbmzJm4u7sjk8lYvXo1b775JjqdDr1eX0TkaNKk\nSURFRVn7P1xdXfnmm2+QyWRMnDjROu7TTz9FkiSio6Nxd3e3uTwxT6PBz8+Pzp074+vrS0pKCm+8\n8QZubm6cP38es9nMs88+S6tWrSgoKKBly5YkJibi7e1NeHg4jo6O6PV6m3xp/7tqPXHiROrUqWO1\nNrrGzJkzebZ69WIT5Ov7AFauXEloaKhN6ot27pyPPvqIMmXK3JNHp5175ElXgH2Q3IM4z8WLF9mz\nZw9r1qzh3XffZejQoaSmphIfH09wcDBqtRqDwUC1atV45plneOGFFxg/fjwffvghW7Zs4ciRI0/8\ndWzAgAGMHTu2tMMoFSwWCw4ODjdd5YmNjWX58uUlfsyCggLS09Px8PBgxYoV1jgOHz7M7Nmzadu2\nLR4eHgQEBNClSxcWL15ssw/s4MGDi/y+3w2DBg1ixIgRd7TNli1bKFOmDH369Lmr1V2LxcLBgweZ\nPXs27du3x8fHB29vb9q2bcusWbPYv3//7RPctWsLXSD+O7F/TZTTPgH/WDJq1CheeeUVm8d36tQJ\njUaDu7s7n3/+Ofv370cIwd9//03jxo1ZtmzZDdvk5uaya9cu3nnnHRwcHKhZsyZGoxG9Xs/lYrRz\nrv1lqVRs2rTpwWsk3AeeyIQ2PT0dpVJZpBTrcMOGxa4EWpRKNlasyPTp04FCCx+DwcCI1FRW+PmR\nIUkUXF01nSoEcZ6eqNVqFAoFzz33HOvXr2fs2LGEhYXh4+Nj7ePYsmULSqWS4OBgateuzZ9//snQ\noUOpV68e+fn57Nu3D3d3d9672h8rl8vZtGkTubm5yOXyIj94Y8eOJT4+HiEEjo6OnGzevNiy6Fwh\nmK/VWmdPmzVrRp06dZg7dy6dOnVizJgxQKHKYXx8PH379mXFihXUrFmTp556iurVqzNlyhSqVq1q\nsxrztdUji8VCWFgYEydOxMvLy9rTDIU+vUIInvf1JVsmuzFRvok4iMViISEhwfoe2Sk5tm/fjsFg\neCRVXB8rDh+2qxw/KGyYPCiQy9kRHc3zzz9Po0aNCAsLQ6fTodVqCQsLo2HDhnTr1o2RI0cyb948\nvvrqKw4cOHBTCxI7RYmOjubbb78t7TBKhSNHjqDT6ejTp88Nzy1atIj69euX6PGOHj1KnTp1qFu3\n7m29XC0WC/v27WPatGm0aNECvV5P+fLl6dmzJ5988sktlXvXrl1LfHz8PcW4Zs0aqwNFcRQUFDBq\n1Cg8PDxKVLjwWoI/Z84cOnTogK+vL56enrRp04aZM2fy22+//ZvgPulq3U8aV73h0emwCEGug4PN\nFjmZmZn4+/uj1Wpxd3dnz/LlvO/oSJZSadWhOdKkCbNffpkOHTpY2wNDQ0MJDAykdu3aTJo0iQ4d\nOuDq6soqP79iLYEK5HK2R0URGRmJXq+nffv2fPzxx7bbqz1kPHEJbX5+Plqtlm7duhV9vLiLztW/\nTIWCJUuWYLFYSElJITExER8fH+RyubXv1GQyIYQgJiaGf/75h8WLF+Pj48PGjRvR6/UMGzYMIQRJ\nSUnk5eUxbdo0hBA89dRT1jKigoICEhMTGTRoEBEREcyaNYvU1FTkcjm9evUCCoUdXF1dMZlMHDp0\niJycHLy8vIiOjmbAgAGo1WoqKJXkFXNDdkUI6pUpU3jsw4fZERVl7SEucHIq/FL9+ivHjx/nyy+/\nxNfXl/r166NSqQgPD+daf62Tk5PNIk5mIRg8eDCjRo2iTJkyfP755zRq1MhqHL18+XJMJhPu7u5E\nRUVR08uL99RqCrRazEKQIUl8ExbG8Zvc7OzatQuTycSFCxfu/wfqCeHvv//Gx8fnvqwK2Llzpjdp\nUugTbfehvb/YWOGSrVYzc+ZMVq9ezZ49e7hw4YK9v/weyczMRKPRPLyCVfeZtWvX4unpybx58254\nLicnB5PJxP79+0vkWJ9//jkmk4mxY8fecSmz2Wxm586dTJw4kcaNG+Ps7EyVKlXo168fK1assP4O\nZ2Rk3HMfbUZGBlqttth2l7///pv4+Hjq1Klz2+S8JLBYLPz++++8//77dOzYEX9/fzw8PGjdujV7\natW60TLlZhPz9mqaR58S8Ibfs2cParWa7n5+XBHihsWoPFHoSrKuf39++uknsrKy2LhxI1qtlgoV\nKhAcHMyYMWM4duwY3y9aRGZx+YwQzBo8GLPZzLFjx5g5cyZPP/00Op2O+vXrM3XqVP76668H8OKV\nDE9cQvvWW2+hUChumIGwtd68QAh8fX1xdnZGCIGrqytKpRJ3d3cqVKiAXC5n9OjRaLVaNBqNdRb+\n3XffRa1W4+fnR2xsLHq9nsTERJo2bUqlSpVQKpUkJiYWienMmTM4OzsTERHBsmXLUKlUqNVqa7nn\nkSNH8PX1pU+fPowcOZL333+fihUrUr16dV588UUMBgMymYwPOnQoXNG5iSz4FSEYV7s2CoWCiYmJ\nFDg4kP+fWZ3cq+PauLgQExNDcnIyzs7OlC1bloYNG1pLnC0Wi803gHkaDaNHjyYgIABXV1ccHR0x\nGo3Ex8cjSRKurq7MnTsXJycnkpKSiIiIICIigh07dgBw9uxZhgwZgl6vp2fPnhw7dqzIa9e1a1fG\ndet2g5DL42oofT/JzMwkMjKyxIVI7Nwda9euxd/fn4ydO63+0U+iAuwD4QnsQ3pY2Lhx4xOtBDth\nwgTc3NxuWREzdOhQ+vbte0/HyMzMJC0tjaCgIH64Knx5r+Tl5bFt2zbGjh1LYmIiWq2WqKgoBg8e\nTLly5fjiiy/uaf+RkZG3XbVfuXIlHh4epKen39c+49vx559/Mm/evDt2wrDziHKXK/GnT59mw4YN\nvPXWW6SmphIeHk55haLYNjuLRsNXs2bRrFkzFAoF0dHRbN682TqJOm/ePEwmE7vGjbttkn1q3jzi\n4uKoV69ekYmfy5cv89lnn9GpUycMBgNVqlTh1VdfZceOHQ+1ZsMTldBaLBZcXV3p2LHjDc/ZqqZ7\n8epqpCRJyGQyq3CCUqlk3bp1BAcHo9frCQgIwMPDg9mzZ1NQUEBqairSVWuZY8eOoVAokCSJHj16\ncPHiRatp/fXs2LEDNzc3tFoter0eV1dXGjZsaH1+3759hIaGsm3bNsqVK0dISIi1X/fpp5/mzJkz\nxMbG4ufnx5guXchITSVTqaRACC7L5WysWJGykoRCoaCcXG7Tl+jaF3Lv3r3odDpkMhk1atTAYDAU\nii3cQX/flStXcHNz4++//+btt9+mUaNGtG/fnmuCU5Ik4evri0KhoF27dtSqVYtPPvmkyGv0zz//\nMHjwYPR6PS+88IK1n+fc4sWF3l5PiKH0/cJsNpOSklJEfc9O6fHPP//g7e19z+IqdmzELsBVaowa\nNYqXXnqptMMoNdq3b49KpbplH/WRI0cKe+UuX76r/e/evZuwsDDatWt3X5Wwc3Jy2Lx5M6+//jq+\nvr4olUri4uIYPnw4GzduvLMV28OH2RIeXqjg+p9J6pycHPr27Yu/vz9btmy5b+dzR9gnxJ4MbLjv\nNSsU7L9addmwYUM8PT1xdXWldu3a9OnThzlz5rBjxw7yunWzqU3wUw8PBgwYQGBgoFVM1WKx8Oqr\nrxIUFPSv+Nnhw7ed+M7Pz2fkyJF4eHjctAKvoKCALVu2MHjwYCpUqICXlxfdu3dn9erVtlXPXFeG\nfb8Xlh7vhPY/L2SugwMzhODSL7/cMDTrueeKFTPKFYL31Go2bNiAVqulRYsW6HQ6FAoFOp2OMmXK\nIJfLqR8UxAxJ4pIoLK29LJMxU5JYM2UKL7/8Mi4uLsjlctq2bUvfvn3J37+f6aLQIshy9Q3Pf/55\nEgMD6du3L87OzgQGBiJJUpHZze3btxMVFYXFYsHzar+uWq2mffv2TJw4kT59+hAREYFGo7GWQ7u5\nueHt7U2DBg2YMmUKZcuWJT09nTlqdbE9xGa53Foa8/PPP6PX6xFCkJ6ezsSJE2nUqBGWQ4dsnqla\nsGABSUlJALz99tvWL/m13tlatWqxYsUKhBAkJyej1+tRKpVUqVKFzp07M3nyZL777jsuXbrE6dOn\nGTjyTVSpAAAgAElEQVRwIG5ubqR36oS5GM9ee9+Kbbz++uvExsbeU5mYnZLBYrHQrFkzBg0aVNqh\nPDnYcqNy3XXRTsnRqFGjJ7rFoUKFCoSGht52TLNmzZg5c+Yd7ddisTB16lQMBgMLFix4oBOVa9as\noXbt2qxfv55XXnmF6OhotFot9erVY/To0Xz//fe3FkK7WtJplstvmKQ2OzrSOyiIFi1a3DcLrbvC\nPiH2ZGDj+3xZJqN58+b069ePiRMnMm/ePBYsWMDChQtZtGgRixYtKuy7tWFfFmdnwsPD+fTTT4FC\nsdu2bdtSo0aNW/ax346tW7cSEBBAjx49bqvvcODAAd566y3q1KmDTqejadOmzJ07t4iIrZUSKMO+\nEx7fhPYWL2S+JN3wQmZmZvLZm28Wu0KZKQTBQtCrVy+6d+8OFCrxGo1GwsLCMBqNNFOrybqJgFGe\nEOQqlXS6auLt7OzMgQMHSNFqsTg63jA+XyYjSyaj3dWSoxo1aiCTyfjll19YsWIFkydPpkWLFhgM\nhiJ9rIGBgTzzzDP07duXSZMmMXPmTFQqFX5+flYj8YEDB1qFnrp168b06dPJKy4BvO5LtHnzZoxG\nIwsXLkQmk+Hs7MzBgwcpX758oWfu2rVky+U3PafrX/vatWvz2WefAdCyZUucnJzYu3cv69atQ61W\n4+Hhwfjx4ylXrhxvvfUWI0eO5OWXX+bHH39k1qxZpKWlER0djUajoXz58rRp04bhw4fzRVDQHSst\n27mRjz/+GH9/f06ePFnaodgB5s6dS3h4uN0u6UFiQylZpiQxrE0bu8hTCVJQUICLi8td3Zg9Dlgs\nFlQqFZ07d77tuK+++opKlSrZnJSeOXOG5ORkqlevzqFDh0oi1DviZn20Fy9eZNWqVQwYMICqVaui\n0+l4+umnmTBhAj///LNV26O472GeSlU4of4w0bMnFrsi/eOPjSvxZiHo1KkTHTt2pGPHjqSmptKh\nQwfat29P+/btadeunc06NBZJokaNGlgsFs6cOUNcXBytW7e+J82Bixcv0rZtW0JDQ9m1a1ex48+e\nPcuiRYtISUnBxcWFGjVqMG7cOPbu3XtHi1slxeOZ0Npw8TM7OpLeqRNBQUHIZDLkcjlPi0Krnf8u\n9xdcTcQ+6tgRIQQymYxVq1Zx8uRJjEYjw4YNIy0tjfz9+8kqRlXsihDEGo2F5cNlyxYKu9xmfLZM\nxjOVKiGXyxFC4OnpSVJSEr1796ZTp05UqVKFsmXLIoTAxcWliKjUO++8g7u7O7Vr16ZXr17k5OSQ\nkpJCSEiIVRRr2rRpPP/88zZ/IQtEYbm1s7Mzzs7OKBQK5HI5CoUCo9FoVWsOkcmYKgpLtK+JOE2X\nJFqEhxMXF0dUVBRKpZK6detSsWJF5HI5AQEBNGrUyGpVIIRArVZTrVo1PDw8iIuLIyQkhO7du9Oz\nZ0969+5N37596devHx06dCAhIYFKlSrdsdKynRv58ccfMRgM/HKTagY7D57Dhw9jMBjYu3dvaYfy\n5FHMLHPm0qW0bduWihUr8uuvv5Z2tI8Fu3fvply5cqUdRqnx119/4ejoyKxZs247zmKxUKFCBTZv\n3lzsPr/66it8fHwYPHiwtUSxNKhevfpt4z1z5gxLly6lV69ehIaG4ubmxtrAwGIVWx/GxDBzzx6y\ni4vbXi326GPjCu0lSaJ///58/fXXt65EsHFfGZLE1q1bOXDgAGXLlmXIkCEl0t9qsVhYuHAhBoOB\nt99+2+Z95uTksG7dOnr37o2/vz8LnZ1v0OO539/ZxzOhtaFM7Fr5cPPmzVm9ejW5ubl4eXmxdupU\nPvPystab5zk6stLfHw4fZv369UiSRFxcHAaDgZo1azJkyBDmzJnDc889hzktrdja9wK5nM+8vKhS\npQqzlcpiVxIL5HKONW2KUqlk0KBBmEwmfvr4Y+jZk2yVqjBZFIJl3t48U7EiX331FT/99BORkZHU\nrVuX/fv3c+TIEdzc3Lh8+TIFBQUkJCTg6urKiRMnmDp1Kp6enjZ7Vl0UgnXr1nHmzBlSU1MZNmwY\n7u7utG7dmsjISGrXrk1ERASVK1dGJpNhMpmQyWR89tlnREZGMmLECL799lvat29Pq1at6NevHwaD\ngbp169K5c2eioqKoVasW6enpBAcHI4QgJSUFhUJB5cqVcXFxsSbx3t7euLq6olarkSQJtVqNRqOx\neYbL3rdyc44fP46vr6919dxO6ZKfn09sbCzvvPNOaYfy5FJMH5LFYmH+/PkYDAZmzJhh7ze/R6ZP\nn06XLl1KO4xSY82aNWi1Wn788cdix06ZMoWUlJRbPp+Xl8crr7yCt7c369evL8kw74qXXnqJkSNH\n2jz+xIkT5NpYQfYwTVJfunSJWrVq8VZCwk1FOe16Ho8RNuQcFqWSf1q3Jj09naioKFxdXWndujWL\nFi3i7Nmzd7YvIfhLp2P7hx/i4eHB3LlzS/yUDh8+TExMDI0aNbp5OfFtsFgsNusSleR3VgIQjxvO\nzkJcvlzssGyVSkwcPly4uroKFxcXMXToUNG6dWuxbds28cEHHwgXFxcBiMDAQHHq1CmxZ88eUaNG\nDbFmzRqxb98+MWTIEDF+/HhhMpnEkiVLxMdffim0Fkuxx80QQlTx9xf7T54Ujvn5xY7PdXAQng4O\n4osvvhCydetEpZEjhUqShOK6Y6FQiHxJEn08PcWKvDzx5ptvitTUVCFJkhBCiGbNmonGjRuLBg0a\niBkzZojJkyeL/Px8ERYWJvbv3y/+atxYeK9dK6TbxJMnhHhPCPHHiy+KQYMGiRo1aohVq1aJmTNn\nCk9PT/G///1P/Pbbb+LK7t1iQXi4qLx7t9AKIa4IITb7+Yl1FSuKz3btEvHx8WLZsmXCYDCI06dP\nC1dXV3H+/HlrrCEhIcLNzU0cOXJEnDp1SpQrV06YzWYREhIidu/eLaZOnSrMZrM4duyYOHDggNi3\nb5/YtWuX8PHxEbGxseLdjz4SDnl5xb6uwtlZiIyM4sc9QWRnZ4s6deqIpk2bimHDhpV2OHaEEKNG\njRLfffed+PLLL4VMJivtcOzchoMHD4o2bdqIMmXKiLlz5wq9Xl/aIT2StG/fXiQkJIguXbqUdiil\nwtixY8Xrr78uLl++LBwcHG479tKlSyIgIEDs3btXeHt7F3nu999/F+3atRNGo1HMmzdPGI3G+xm2\nTaxZs0ZMnDhRfPPNN7ZvJJMV3v7aMs5svvvgSogLFy6Ip59+WlSrVk1Mnz5dyP78U1gmThSXZ84U\nOiGEzNlZiNRUIQYMECI4uLTDtXOv/P67EFWqCJGVdesxGo0Qe/ZY3+9Tp06JNWvWiFWrVomNGzeK\n8PBwkZycLFqEh4ug5s2FdLt9CSHMkiRyQRwYM0ZUGzq0JM/GSn5+vhgxYoSYO3euGDNmjKhSpYo4\nd+6cOH/+/A3//vexsxcuCJvuVkrwO/t4JrQ2XvyQJDHslVdERkaGyMjIEGvWrBEuLi7i/Pnzws3N\nTWRkZIjLly+LIBCvqFQiJTdXaIUQWTKZ+FCSxLdRUeKLgweFEEJkZGSIfLNZSDaEZxFCvDRggHjr\n7bdtesPNQgilJIn0Tp3Eyx9+KJS3SdYyhRCXvvtOeNWsKYQQIicnR2zevFnMmjVLrF27Vmi1WlGr\nVi2xadMm0adPH7Fo0SJhNpvFN++9J8q2aHHbL2SeQiGaBweLLSdPiqysLGGxWERgYKDIysoS//zz\njxBCiPpms1gqhFAKIVTXbysKk+4OarVwaN5crFu3TsjlcrFgwQJRuXJl0bVrV7F161bxzTffiMjI\nSHH+/HkRFBQkhg8fLgYNGiTS0tLEli1bxIEDB4SHh4fIysoSsbGxIiYmRsTExIjo6GiRnZ0tXn75\nZZHw+eciNTdXyG/3JVEqhejeXYhp02x4B54MANGuXTshk8nE4sWLrRMMdkqPHTt2iOTkZLFz507h\n4+NT2uHYsYHc3FwxdOhQ8emnn4rFixeL2rVrl3ZIjxxlypQRGzZsEOXKlSvtUEqF5ORksWvXLnHs\n2DGbxvfq1UuYTCYxYsQI62MffPCB6N+/vxg+fLjo06fPQ3M9z8jIEL6+vuLs2bNCrVbbtpGNixQP\nwyT1mTNnRIMGDUR8fLyYNGmS9XX/448/RPXq1UWLFi3EnDlzSjVGO/eBL74QolUrIfLzC/+uoVQW\n/i1dKsTTT9900+zsbLFx40axatUqsXr1atHAbBYzzpwRShCy4pK9/yTKtwIQly9fvmUCeqsk9cKF\nC0KtVovc3Fzh7u4uKlWqJEwmk9Dr9UKv1wt3d/eb/xsUJKQH/Z0tsbXeh4m7VJZr1KgRgwYN4tln\nn7U+Zl69mlylslBM6rptr4k8tXV1RaVS4eDgQGZxBtrXle02atTI5vEZV+1rvq5QodgS5TxJYudT\nTzFy5Ehq1qyJo6MjoaGhNG/eHFdXV7p06UKfPn2QJInk5GRCQkKQJAkXFxeaqdVcuVqO/d/y7CyZ\njLmtWvH666+j0Who3rw5FStWpFKlShiNRpycnGhaqRI5xZxTrlJJNWdnDAaD1bDZbDZjMBgKG+LN\nZn777Tfat29P2bJlqVatGpIkodFoUKlUKBQKfv311yIlfdnZ2YwdOxZ3d3eGDBnC5V27Hngz+uNA\neno60dHR9yQqYKfkuHLlCiEhIVYVQzuPFmvWrMHT05PXXnuN/Pz80g7nkeHo0aMYjcYnumy7TJky\nNG7c2Obxe/fuxcvLi9zcXC5dukRqaioVKlR4aDUQivOSvYE7sAMsTU6ePElYWBhDhw694fP75Zdf\n4uvry6RJk0opOjv3nWJaU2zBYrGwc+dOpvTrxyEHByzF3POb5XIONmjAzJkzGTNmDC+++CKdO3cm\nOTmZuLg4KlSogMlkQqFQoNVq8ff3p1q1aiQkJNC6dWt69OjBsGHDrKrLK1euZMuWLfz222+cPn3a\n2ut77tw5WrVqReXKlW3T8iiF7+zjmdDa2EN7rm3bIps9++yzdO/enU6dOhU+YKOy3roZM/Dz82OJ\nu3uxTdD5ksR8rZZJkybxscFgk1XQNFGoYJxhS5J+NWF2dHTE19eX6OhoGjduTIcOHYiLi6Ny5cpM\nmjQJnU7H3Llz2bRpEw0aNMDBwYFly5YR4eLCxQ4dsDg7Y766rwP16xOl13Ps2DEABgwYQFBQEB99\n9BFQ6Ifr6+vL9KuJfnHnP1UIvv/+e6BQACItLQ2VSkVkZCSurq4EBATg4uJCr1692LZtG5s2bSJY\nCD5wceGSJFmtjSw9e7JuxgyCgoJo2rQph6+/aDxgufBHnaVLl+Ln58eJEydKOxQ7V0lLS/v3WmTn\nkeTEiRMkJiZSs2ZNjhw5UtrhPBJ89NFHNGvWrLTDKDXMZjMKhYI333zzjraLj49nzJgxBAcH8/zz\nz3PlypX7FOG9M3DgQNLT023f4PBhCtTq299bqNWlOkl99OhRQkJCGDVq1E2fnzp1Kj4+Pnz55ZcP\nODI7jyy22gHJ5TRt2pRevXoxbtw45s6dy/Lly/n222/Zt28fJ0+eLBEhOIvFwpw5c3B3d/9XK+JW\nPrNff21XOS4RbEhErwhBVZ2O+fPnWzdLS0ujTZs29OjRo/ABG2cYjiQnk5iYyOyXXy7W+ueKEIRr\ntfj4+LDgtdcKxQKKGR8sBA42zNRc+ysQAmdnZxo1asTo0aPZtGkTWVlZnDt3zmqFUK1aNXbs2AHA\nqlWriIiIwMnJibi4OHJycmjVqhWhoaFotVqCg4MZNWoU8fHxFBQUcOjQIYQQ/P777wD8+uuvuFxN\nNm2JL0MIIiIiCA4ORqvVolQqMRqNvPXWW5w6dYoffviB4ODgf9XV1q69uRWSJJEpSfw8evStPwf3\nOFv2JPDzzz9jMBj4+eefSzsUO1dZuXIlAQEBZGRklHYodu4Rs9nM+PHjMZlMLF26tLTDeeh54YUX\nmDBhQmmHUWr8+eefKJVK66SvLZjNZtq3b49SqXwkKjpWrVpFvXr1bB5/9OhR2rm5UeDgcNNJ6gIH\nB551dmbDhg33Mepb88cffxAYGMhbb711yzF9+vTB2dmZo0ePPsDI7DzS3IEdUExMDD4+PiiVSkwm\nE9WqVaNJkyakpaWRnp7O3LlzWbduHXv37uXChQv3VAGzf/9+IiIiGBETg8XR8dYLRyNH2n1oS4Ri\nVui+HTIEvV5PQEAAqampXL58mcGDB5OUlET//v0L92Hj7Ei+kxO1a9cGYGpSEleEuMH82yyXc0UI\nkiQJpVLJb7/9ViTO/yZrBTIZV4SgkRC4urrywgsv2KxEnKlQMGnSJJYtW8bAgQOJiYlBo9EQGxtL\nxYoV6dixIw0aNLCa1h87dgyDwYCXlxeurq5UrlyZ5s2bs337dkJCQlAoFHTr1o06deowZswYNm7c\niLu7O+PGjSMrK4tKlSoxd+5cm9WFzUJYLWEiIiKYMWMGoaGh1jKGrl27Mm7cuMLXx4bJCXv58N1z\n4sQJ/Pz87DfaDxGnTp3C09Pzzkry7Dz0bN++naCgINLS0uxl/behatWqbNu2rbTDKDWWL1+OTCaz\neYX1+PHjJCQkEBcXh6enJ7t3777PEd47Fy5cQKvV2uSpnZOTQ0xMDOPHj7/tJPXmzZsxGAx8/fXX\nD+AM/uXAgQP4+fkxffr0245LSEjA0dHxiS6lt3OH2JiDZKvV1k0KCgo4fvw4O3bsYNmyZUybNo0h\nQ4bQsWNHEhISqFChAjqdDo1GQ0hICPHx8bRv357BgwczefJkli5dyrZt2zh69OhtW2Vy//c/cotr\nm9RoCldqH9DC0uOb0EKxK3Rr1qzBYDDQsGFDypcvT58+fahduzZDhgwp3N7G2RGLJBEbGwvAhx9+\nSMe4ON7XaMhxcMAiSVwUgvlaLeO7d0cIQWxsLFWrVv33pubwYeY5OZGjVlMgBHkaDbOUSoKFQKlU\nIoRALpcz8yarlDfEolRyuFEj4uPji7wUmZmZbNy4kbS0NBwdHVEoFHh4ePD8888zf/58nJycqFq1\nKuHh4Wg0GqZOnUpubi6Ojo6kp6ejVquZOnUqJpOJjh070r17dzw9PenZsycpKSn88ccfNifcGZJE\neHg4bdu2pVGjRlgsFvz9/fnzzz+5dOkSrq6unDx5sjDwR6R35lEkKyuL6OjoOyv9snNfsVgsNGnS\n5N9rkJ3HioyMDLtn7W24dOkSTk5OpeqTWtr0798fvV5v09hVq1bh4eHByJEjyc/PZ+TIkXTv3v0+\nR1gyREZG8t133xU7rnfv3jRr1symRHDTpk0YjUY2btxYAhEWz6+//oq3t7dNtine3t5UqVLlAURl\n53Hhf3XrFq+bIwTTJYkePXrc0WRJRkYG//vf/9iwYQPz589nzJgx9OrVi6ZNm1K9enW8vLxQKpV4\neXlRvXp1a0nzmDFjmD9/PkeTk7EUl9A+4HvzxzuhtYGNGzdiNBoZOHAgTk5O+Pn5MWLEiMInbTU4\nFoUlwS+99BKjR4+mcePGfPLJJzg5OaHT6dDr9VZxBr1ej1qtJikpiU6dOlk/gAEBAbz66qv4+fmh\n0WiQy+UIIQgPD0dcTWy71a1LZjFJdqYQbJo7Fzc3N2vPaxEOH+YTo5FMhQKLEOSq1XwZHEywEMhk\nMkJCQhg+fDi+vr6kp6dTrVo1tm7dSlhYGFqtlgkTJqBUKpk+fTr+/v4oFAp0Oh1CCKaLGwWl/vtX\nIJPxdWgo0dHRqFQqa8+mXq/nzJkzzJ49u2j/1F0KfNm5PRaLhbZt29KmTRv7jPFDxLvvvktERMQT\nfUP/uGP3rL0169evt1Y7Pak89dRTxMTE3HZMdnY2ffr0oUyZMkWSwpMnT+Lq6sqFCxfud5j3zIsv\nvnjLftNrLF68mLJly3Lx4kWb9/vNN99gMBjYvHnzvYZ4W37++Wc8PDz48MMPix2bm5uLQqGwayLY\nsQmz2cwrr7xCXX//YoVWM4VgYq9eKBQKKlSowNatW0ssjvz8fI4dO8YPP/zA0qVLmTx5MoMHD6Z9\n+/Zc+U8V6sNwb/7EJ7QAP/zwAyaTifbt26NWq6lSpUrhBbRnz2JFjvIkiXlOTphMJmsiKITAycmJ\n9u3bU6dOHXx9fRl9tc/TYDDg4uKCv78/FSpUYODAgbz66quo1WqUSiVyuRyFQkGzZs2IjY1FCIG7\nuzsGgwGTycSzzs5kSRKW/6xaWq72kQwMC0Mmk6HT6UhMTGTXrl3/3jBdLW8uuEU59MCwMBYsWED3\n7t0pW7YsMpkMJycnEhIS6N69OyqVCpVKhRACtVqNEML638899xzHv/222ITb7OjI0Y0bkclkaDQa\nDh06BIBarSYrK4uoqCjWrFkDFPYS2VrGjExWKp+dR5XRo0dTvXp1e+njQ8SBAwcwGAz/tiPYeaw5\ncOAA1apVo3nz5pw7d660w3koeO2115746gSj0UifPn1u+fy+ffuoUqUKrVq14vz58zc836ZNG95+\n++37GWKJsHLlShISEm75/K+//orBYLirEuqvvvoKg8Fg0wrw3bBt2zZMJhOfffaZTeP379+Pi4vL\nE90bbsc2MjMzadmyJbVq1WLlypWkaLU3vee/1j65Y+RIjEYjo0aNQqfT4eHhQcuWLTl48OD9DdTG\nCtYHeW9uT2ivsnv3bvR6PXq9npo1axIUFMSHo0cXm6BZNBqWjh+PSqVCo9FgMBjw9/dn7ty5tG7d\nGhcXF5ydnVEqlSxevBhHR0fKli2Lj48PMpkMuVxO+/btcXV1xcHBgSZNmpCSkoIkSdSoUYNWrVrh\n6OhIu3btkCQJtVpNs8qVyeve/Zal1MuXL8fJyQlnZ2cCAgIIDg5mXLduhYIKtzmXbLmcrF9/5dtv\nv2XChAk0bNgQmUyGJEm4uroiSRKSJFkTWblcjoeHB3PmzLG+jnNbteKKuFHtOE+SyJbLYe1aevXq\nRWRkJIGBgQwYMID8/HxkMhm//PILvr6+LFmyhOrVqyOTyWxWdrav0NrOZ599hq+vL8ePHy/tUOxc\nJS8vj6ioKKZNm1baodh5gOTk5DBgwAD8/Pzu+4rSo0BCQoJ1QvNJxGw2I5PJWL169Q3PWSwWZs2a\nhcFg4L333rvlyv53331HSEjIv6KKDynX+mhvVo2SkZFBSEgICxcuvOv9r1u3DqPRWKIrVgCbN2/G\naDTe0ed05cqVuLu7P9GfbTvFc+LECaKiokhNTeX06dMEBATg7e3N5vfft7ZPmkWhbs/19/zX7p07\ndeqEp6cngwYNwt3dnT59+nDmzJn7E+xDWD1pT2iv48MPP0Qmk/Hss8/y6aefolQqGVOzZqES8X9m\nR66JNg0MCyMiIgKlUsmLL75I2bJlcXR05KuvvgLg8uXLjBkzpkgiaDAY8PT0pEmTJkRHR+Po6Iha\nraZt27ZUr14dnU6HXC7nwoULNGvWjMGDByOXywkICECv15OamkpMTAxnz5695bls374dmUzGSy+9\nxE8//cS2iAibLIJmyuVER0fTp08fPvjgA2bMmIFarUan0+Hr62s9j2v/mkwmjEYj77//PocOHWLR\nokWUlSTeU6vJcXDALAS5Dg68p1azbsYMvvjiC/z8/Pjnn3+o6+/PbKWSfI0GsxBckiRmCEGoSkWV\nKlX48ssv2V+vXrFx23tobeeXX37BYDDw448/lnYodq7jtddes/aT23nyuOZZ+/rrrz+xnrX5+fno\ndLqbrjo+KRw6dAhJkm4osT137hwtWrSgatWqxVZwWCwWwsPDWbdu3f0MtUSIiIhgy5YtRR6zWCy0\naNHiX7eJe+CLL77AaDSWmMjY+vXrMRqN1vs7W5k4cSJarZY///yzROKw8/ixe/du/P39GTVqFBaL\nhY4dO1KnTh3i4+OL3Bd06tSpyCLSNY4dO0aVKlWoWbMm5cqV47fffqNPnz4YDAargGuJ8hDq29gT\n2uv49ddf0Wq1eHh40KNHDzw8PIiMjOT5evXI7trVOjuS4+DAQmdnQlUqHBwcSEhIwNvbG4DDhw+j\n1+sxGo24u7uj0WiIjo6mTJky1KlTB5VKRdeuXXFwcMDBwQFJknByckKpVKLRaKhWrRoxMTHUrl2b\n8ePHExAQQJcuXYiKikKSJBISEmjWrBkDBw4kNDT05n2yV3n++ecxGo306tULi42zKWadDovFwnff\nfUdqairOzs7I5XI8PT1RKBQoFAprr23z5s2pWLEiBoOBevXq4ePjg0KhQIhCH9xVq1YRGxvL+PHj\nkcvlnDx5Eh8fH1avXs22114jWy6/IVnNFYICBwcyliwhJSWF2j4+xVoh2VWObePkyZP4+/vz8ccf\nl3Yodq7j+++/x8PDw+4B/IRz4sQJEhISqFWr1hPpWfvTTz9RsWLF0g7jwXOdj6NFXPWb79nT+pu2\nefNm/P396d+/v02qwACzZ88mOTn5fkZdIgwYMMDajnWNCRMmEBUVZfO5FseaNWswGo1s3779nvaz\natUqjEbjXZUxd+7cGZVK9dCvmtspHa59RpcsWQLAxx9/TEhICN7e3jdMxowdO5bBgwffdD8ZGRk0\nbNiQoKAgoqOjyd67lwvt2pGpUFgXlyw9epTM/fJD6EBiT2ivcfgwl1NTyRDC+qOy3NubnH37ePHF\nF/Hz8+O7774jOTkZb29vVCoVsbGxDBs2jMDAQBwcHOjbty/BwcFIkkSHDh3o1q0b3t7eJCcn07dv\nX2JiYujSpQu+vr6EhoZak9trAlAymYxKlSrh5ubGpk2b8PLywtHREZPJRHJyMq1atcLLy4uYmBj6\n9+/Pm2++SZkyZdi/f/9NT2nnzp2UKVOG+vXr35GlTlhYGOXLl+eVV17h2WefRSaT0b17d5KSkhBC\nEBISwmuvvYbJZCI6OppGjRrRuHFjOnfujMFgICQkBJVKRcWKFVEoFLi7uyNJEgEBAfj6+lJZoyGr\nGEXkTEnihaefxmg0suMBe1k9jmRnZxMbG8vrr79e2qHYuY5Lly4RFBTE559/Xtqh2HkIMJvNvOcI\nQwEAACAASURBVPHGG3fUn/e48M4775CWllbaYTxYbmMvaNFoWNi2LZ6enndcqnrlyhX0ev1DvyK4\nYsUKEhMTrf+/adMmPDw8SnxCZ9WqVZhMpruuTPr0008xmUx3nRRHRkZSrly5u9rWzuPNlClT8PT0\ntPpOHzt2DJPJRL9+/YoKpF5l6dKlN338Gnl5eXTt2pUUrZZsufyG3ts8IShQq0vmvrkYe9QHfW9u\nT2jB+qbc7I3PUSgoWLWKYcOGoVAocHNzo3z58gwcOJCQkBDc3NzQaDQIIejYsSNbt27FwcHBuuvs\n7Gzeeecd9Ho9CoWCkSNH0qxZM9RqNTKZDDc3N/r27YtcLketVmMymQgMDESr1VpLj3v06EGZMmXI\nyspi1qxZ+Pn5UbZsWSZPnsz777+Pp6fnTS/UFouF0NBQvvzyS5stdS7LZMyfP5927dphMBgYNWoU\nLVq0YMGCBcTGxuLm5kZQUBBubm58+umnGAwGjEYjKpWK6OhoKlasyHPPPYdGo+Gzzz6jUqVK1vJk\nmUyGWq3mY4OB/GLiKZDJeE+tZv369YUnU4wFk51bY7FY6NChAykpKfYZ4oeMrl270rVr19IOw85D\nxg8//EBQUBA9evR4YoTbUlJS7qln8pHDhhWObJmMf+6yXHbAgAG8/PLLJRx0yXL+/HlrH+3x48fx\n9va+b6XSK1aswGQy8fPPP9/RdosWLcLT09PqVHE3uLm50aJFi7ve3s7jR35+Pi+88AJhYWH88ccf\nQOGEZr169Xj11VcxGo3s3bv3hu327NlDaGjobfdtOXSI3GLKgbPlcg6URML5EN2b2xNaG35UrghB\nUvny9OrVC5PJZO0dVSqVqNVqDh48iEqlwmAw8NNPPyGTyW5IHC5dumQVWLqmcKxSqfD39+f8+fOE\nhYVZy3XXrl3L5cuXrau9crkck8lE7969WbNmDW+88QaBgYF4enqybNkyli9fjtFovMFQPCsri6Sk\nJDQaDV8GBZFfjMBVvkzGQmdnTCYT48aNIyMjA4Dx48eTnJyMg4MDH3zwARMmTMDZ2ZnGjRszbdo0\nq81QvXr1UCqV1hXZyMhIatasiYuLC2q1mpEjR5KdnU2OWm1Tcp2v0Tywj8HjzLhx44iMjCQzM7O0\nQ7FzHcuWLSM4OJhLly6Vdih2HkIuXrz4xHjWWiwWvLy8rDd2TwQ29KBZ7qEH7eDBgxgMBrKzs0s4\n8JKlWrVqbN68mZo1a953T/Rly5ZhMpnYuXOnTePfe+89fHx82Ldv310fMzMzE7lcztixY+96H3Ye\nLzIyMnj66aepX79+kX75iRMnEhcXx9ChQ+ncufNNt83KykKtVlNQUHDrA9hwbSmQyZjj4EC3bt0e\nm3Yne0JrwxufKwTThKBevXq8+eab+Pv74+rqSmJiIiEhIXz++efIZDKWLl2Kj48Pjo6OXL58uchh\n5s6dixCC4OBgnJyc0Gg0tGrVCp1OR4UKFYiMjMTf3x+ZTEZAQADffvstKpUKFxcXKlasyO7du3nj\njTeoXbs2Op2OkJAQDAYDbm5ubN++3WoovnTpUnJycpg2bRo+Pj4kJibi5ubG7+vXF6vYfEUIanp5\n3RD7kiVLUCqVODo6Wm++p0+fjkwmIzAwECcnJ2QyGUIIXF1d0Wq1DBgwgN69exMXF4ejoyMJCQl0\n69aNunXr2q14HiDLly/Hx8eHv//+u7RDsXMdJ06cwMPDw1pmZMfOzbBYLMybN++x96z9448/8PLy\nemzP76Y8AJXQhg0bMn/+/BIMuuTp378/cXFxJCUlPZAKoqVLl+Lh4cGuXbtuO27KlCn4+/vfs/3J\nnj17cHJyYuXKlfe0HzuPB0eOHKFy5cqkpaWRl5dnfXz37t0YDAa2b9+OXq/nr7/+uuU+/P39+f33\n3299EBuvLRadjsGDB6PX63nttdduuPd/1LAntDa+8VcUCho0aMCVK1eYOXMmiYmJVtGnHj16IJPJ\nKCgoYOLEicjlcg4cOAAUzs517twZLy8vJEnCz8+PM2fOcPLkSWupcbVq1VAqlTg5OREXF4fBYMDZ\n2Rlvb2+cnJyoVq1akZAvXLjAkiVLCAsLQy6XI5fL6dq1K9OnT8fFxQW9Xk9SUpK1DLlKlSrodDra\nubmRKUk3rNTmCkGeSsW5xYtxcnIqMvNjNpupU6cOSqWS2rVrs2vXLt544w1q1aplLSXu0qULkZGR\nKJVKjEYjFSpU4NChQxgMBlQqFXK5HH9/f4QQ6HQ6Mosxii6JH3I7sGvXLgwGAzt27CjtUOxch8Vi\noVGjRrz22mulHYqdR4T9+/c/1p61CxcuJCUlpbTDeLA8AB/HVatWERUVVYJBlzyDBg3CwcHhgX6u\nP/nkEzw9PdmzZ89Nnx8/fjxBQUEl0oO8dOlSHB0dOWxvj3ri2b59O97e3kyaNKnI5F12djaVKlVi\nwYIFvPDCC/Tr1++2+0lMTOSLL7649YA7vLb89ddfdOjQAS8vL959991HVmnfntDa+MabhUCv1+Pq\n6kpSUhKOjo68/PLLlFcomCFJhWJSkoRFp2O2UklKRAR79uyhXLly+Pr64uvrS7ly5XB2di7iuzZp\n0iSrJ60Qgt69e1OtWjUUCgWSJNGlSxcCAgJuupJjsVjo1q0bvr6+ODk5WZNHBwcHmjdvzrJly2jV\nqhWSJFmFpiyHDrGrZk0uCkGBEFyRyws9ba9ebAMDA4uITI0aNYpy5cqhUChwcnIiODiYnj17EhMT\nQ5MmTYiJiUGj0fDBBx+gVqsRQhAXF8fgwYOtJdRCCCpVqoSHhwdms5k9tWrZrXjuM6dOnaJMmTJ8\n9NFHpR2Knf8wbdo0oqKiiszO2rFTHI+zZ21aWhrvvPNOaYfxYLFxMj3X0fGuy4YLCgoICAi4Z4Xf\n+8Vvv/2GXq/HycnpgV8PlyxZgqenZ5E+RYvFwogRIyhfvnyJVTWNGDEChUJx+xJRO4891zRnVqxY\nccNzAwYMICUlhd9//x29Xs/p06dvu69evXoxefLkWw+4y+qPn376ibp16xIaGsqqVaseuYoZe0Jr\nq52NVsv27dtp0qQJAQEBmEwmJtSrR5ZMdlPrmStC0EgI5HI5lStXpl69elStWpWAgADS09PZsmUL\nBw4c4OTJkxiNRmtPriRJKJVKAgMDEULw0UcfMWXKFJo3b35D6AUFBSxcuBCdToeDgwOVK1dmz549\nNG/e3Jogy+VyoqKicHJyYvXq1SQkJODo6EiHDh04fvw4NWvWpGXLloXCI4cPszYwkBy1GosoFIia\nJgRtoqJQqVS89NJLZGdn07hxY1q0aEFubi5//PEHWq0WjUaDUqnkmvhTu3btuGbf4+Xlxf79+3F0\ndCQ+Pp4qTk5kFTeRYLfisY3rLB+QJNDpyO/enZSICIYPH17a0dn5D//73/8wGAzWCg47du6Ux9Gz\ntmLFivz000+lHcaDxYZ2J7Nczgo/P0wmE0OHDuXo0aN3fJjx48fTsWPH+3AC98bly5cJCwvjvffe\no2rVqqXSfvHBBx/g5eXFvn37sFgsvPzyy1SuXJlTp06V2DGSk5Px8/Mrsf3ZebSwWCyMHTsWX1/f\nm/Zub9iwAV9fX86dO0dqaqpNThTvvPMOvW+34HMPHrEWi4XVq1cTFhZGfHz8I3Vdtie0NrzxeULw\n+9NPY7FYsFgsvPLKK0S6upJTTOnsFSHoUb8+CxcupF69etSqVYtq1apRtmxZYmNjCQ4OxtnZ2Vq6\nq1KprOrH11Y21Wo1kyZNwsXFhbVr13Lu3Dny8/P55JNPCAsLo0aNGnzxxRfExcVZk8pnn32WDz/8\nEI1GQ2BgIK1bt0YulyNJEpUrV8bZ2dnqX5udnU3Lli3p6u19U1/YArkcs6MjTa8mtA0bNiQpKYmZ\nM2eSkpKCu7s7RqMRT09PawJ9LalVqVTo9Xrq1KnD6NGjrUrOr732GgWrVoFGQ4FcfuOXzG7FYxu3\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syOsrVqVs+EgJaI1g0KBB2V10/2Pr1q3s27cvb968SR8fHwLZ47AaEtBmWVuzfv369Pf3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fs/evQIfD5fdG16tilh7ztF+OuvvzBgwACV+y1XE9r69esXEgEohJK2+2fMmIEJEyYoHHteXh66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\npoj6tPXq1UNCQkKRp/E7tCWIhIQE9OrVC1u3boWnpyfXcnhKKWw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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "named_graphs = {k: v() for k, v in networkx.__dict__.items()\n", " if k.endswith('_graph') and trydefault(v) and v().number_of_nodes() > 1}\n", "figure(figsize=(16,16))\n", "for i, (k, v) in enumerate(sorted(named_graphs.items())):\n", " subplot(5, (len(named_graphs) + 5 - 1) / 5, i + 1)\n", " title(k)\n", " networkx.draw(v, node_size=100)" ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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yP5akVatWsLGxwaVLlwBwg6PJkyfD1tYWderUwd9//43Dhw9L7VSyXEMyq7hz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\nAAAAAElFTkSuQmCC\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "figure(figsize=(16, 4))\n", "subplot(151)\n", "title('complete_graph(5)')\n", "G = networkx.complete_graph(5)\n", "networkx.draw(G)\n", "\n", "subplot(152)\n", "title('complete_bipartite_graph(3,3)')\n", "G = networkx.complete_bipartite_graph(3, 3)\n", "networkx.draw(G)\n", "\n", "subplot(153)\n", "title('grid_2d_graph(5,5)')\n", "G = networkx.grid_2d_graph(5, 5)\n", "networkx.draw(G, pos=networkx.nx_pydot.graphviz_layout(G))\n", "\n", "subplot(154)\n", "title('hexagonal_lattice_graph(3,3)')\n", "G = networkx.hexagonal_lattice_graph(3, 3)\n", "networkx.draw(G, pos=networkx.nx_pydot.graphviz_layout(G, prog='sfdp'))\n", "\n", "subplot(155)\n", "title('triangular_lattice_graph(3,3)')\n", "G = networkx.triangular_lattice_graph(3, 3)\n", "networkx.draw(G)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Умеет строить деревья по коду Прюфера" ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[0, 0, 1, 2, 3, 1, 1, 2, 3, 1]\n" ] }, { "data": { "image/png": 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kHAkJQGCg6KauLe7URURWiGPIZBwBAeKgiNoczwiI5xcvZhgTkdWxk7sAsmDaU5t42hMR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\n5arbfRQAAAAASUVORK5CYII=\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "tree = networkx.algorithms.tree.coding.from_prufer_sequence([0,0,1,2,3,1,1,2,3,1])\n", "print networkx.algorithms.tree.coding.to_prufer_sequence(tree)\n", "networkx.draw(tree, pos=networkx.nx_pydot.graphviz_layout(tree), with_labels=True, node_color='r', font_color='w')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Умеет перечислять неизоморфные деревья (существенно быстрее, чем с проверкой `networkx.is_isomorphic`)" ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Isomeres count: 35\n" ] }, { "data": { "image/png": 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33kNrQYBUq+U5oQTIxQ5g6JKTk9GlSxfMmTOHhS09V0pKCqxOnoRd/vUiiUaT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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "figure(figsize=(16,8))\n", "nonanes = [nonane for nonane in networkx.nonisomorphic_trees(9) if max(dict(nonane.degree()).values()) <= 4]\n", "for i, nonane in enumerate(nonanes):\n", " subplot(5, 7, i + 1)\n", " networkx.draw(nonane, pos=networkx.nx_pydot.graphviz_layout(nonane), node_size=15)\n", "print 'Isomeres count:', len(nonanes)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Свойства графов" ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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s2YI2bdqIHUlvsJxJPebNezdl/Vbx4sDKlUDnzkCFCsCdO8rzzPv25TjMKD1d\n+fNBQYWOkZmZmV28Hxv1JiQkoGLFijnO8VpaWqJNmzbZj1WqVIkbZagBp7U1V1BQEMaPH4+BAwfi\n4sWLMDExETuSXuGfNqR68fHKxV8fnmM2MgJiY4H27YH794EePYDAQKBxY+DevXfHCQKwdy+QkPDR\nVdyAcoepR48e5TvVHB8fDwsLi1ybaLRq1Sr7n6tUqcLiFQlXa2ue+Ph4jB8/HpGRkQgKCoKDg4PY\nkfQS/0Qi1fPzy/vx5GRg5sx334eEANHRwDff5CxnAIJEgqSlS3G9Z8+PjnqfPHkCc3PzXFtG2tvb\nZz9WpUoVFCtWTH2flQqFq7U1hyAICAwMxMSJE/H9999j48aNMDY2FjuW3mI5k+pFRua8XOpjKlYE\n6tQBrlzJ9ZQkJQX/+Phgwb59OUa9dnZ2OYq3ePHiavgAVFQ4ra0Znjx5grFjx+LatWvYuXMn7O3t\nxY6k91jOpHqJiZ8+xsgIkMuBjRuBGzfyPMSlc2e47N6t4nCkSUxNTZGUlITMzEyeWhCBIAgICAiA\np6cnhg0bBrlcjpIlS4odi8ByJnX41Ib3EgmwaROQng6MH//x43ibOZ3Hm1+I59GjRxg9ejTu3r2L\nPXv2wNbWVuxI9B5ecEmqZ2MD5Pe373XrgEqVAGdnIDMz72OMjZULxUjncWq7aAmCgE2bNqFJkyZo\n0qQJIiIiWMwaiCNnUr0hQ5RbcubF1xeoX195OVU+56UzMzKQ6eoKTrDpPi4KKzoPHjzADz/8gLi4\nOOzfvx/NmjUTOxJ9BEfOpHoVKyr3yv7wpgtffQWMHg00bQo8fgy8eqX8NXBgjsMUEgnOmpnB0s4O\ns2fP5h/cOo6XU6mfIAjYsGEDmjVrBjs7O4SFhbGYNRxHzqQeP/6o3Cv7/R3C7t/PXdh5MDA2Rps9\ne3DI2BiLFi1C7dq14ebmhsmTJ6N27dpqDE1i4LS2esXGxmLkyJGIj4/HgQMH0KRJE7EjUQFw5Ezq\nYWcH+PgAn7urkImJ8udsbdGwYUOsW7cO165dg5mZGRwcHNCnTx+cPHkSQl430SCtxGlt9RAEAWvW\nrEHz5s3Rpk0bnDt3jsWsRVjOpD5jxgA+Pkg3MoLiU8dKJO+KecyYHE9VrlwZs2fPRkxMDLp27Yoh\nQ4agZcuWCAwMRObHFpSR1uC0turdu3cP3bp1w+rVq3HkyBH8/PPP3IxHy7CcSa3udO2KHqVKIdXJ\nSbmC+8MQD1SiAAAgAElEQVQdh4yNlY/37QscO5armN9XqlQpjB07Fjdu3MDUqVOxdOlS1K5dG0uW\nLMGrV6/U/ElIXTitrToKhQKrVq2Cra0tOnbsiDNnzqBRo0Zix6IvIBE4P0hq1Lt3bzg4OGDq1KnK\nvbL9/ICoKODFC+V1zI0bK1d3f+E1rmfPnsXChQtx5MgRjBgxAh4eHqhWrZpKPwOp186dO7F27Vrs\n5oYzhRIdHY3hw4cjOTkZ69evR4MGDcSORIXAkTOpTWhoKK5du4bJkycrH7CwAP77X+Dvv4Hdu5Vf\n//vfLy5mAGjZsiW2bt2KsLAwpKSkoHHjxhg8eDAuXbqkok9B6sZp7cJRKBRYvnw5WrRogR49euDU\nqVMsZh3Acia1SEtLw8SJE7F48WKUKFFC7e9nZWWFJUuW4M6dO2jQoAF69OiBLl26YN++fVw8puE4\nrf3l7ty5gw4dOiAgIAAnT56Et7c37ymuI1jOpBaLFy9GnTp18O233xbp+5qammLq1KmIjo7GoEGD\nMGXKFDRu3BgbNmxAWlpakWahguFq7c+nUCiwZMkS2Nvbo0+fPjh+/Djq1q0rdixSIZ5zJpV78OAB\nmjRpgrNnz8La2lrULIIg4ODBg/Dx8UFUVBTGjx+P0aNHo0KFCqLmoneysrJQokQJpKam8uYXBXDz\n5k0MGzYMBgYGWLduHa/911EcOZPKTZkyBaNGjRK9mAFAIpGgS5cu2L9/P/bv349bt27B2toa48eP\nx507d8SOR1De/KJcuXJ48eKF2FE0WlZWFhYuXAgHBwcMGDAAR48eZTHrMJYzqdSJEydw/PhxTJs2\nTewoubyd3r58+TLKli2Lli1bwtnZGadPnxY7mt7j1Hb+rl+/jjZt2mDPnj04d+4cPDw8YGDAP751\nGf/rkspkZWXBw8MDf/zxB0qXLi12nI+qWrUq5s6di+joaHTo0AFSqRStWrVCUFAQsrKyxI6nl7hi\nO2+ZmZmYP38+2rZti0GDBuHQoUOoVauW2LGoCLCcSWVWr16N8uXLY8CAAWJHKZDSpUtj/PjxuHXr\nFry9veHj44M6depg2bJleP36tdjx9ApXbOd25coVODg44J9//kF4eDjGjh3L0bIe4X9pUolnz55h\nxowZWLp0KSQFuLmFJjE0NISzszPOnDmDTZs24ejRo6hZsyamTZuGR48eiR1PL3Ba+53MzEzMnTsX\njo6OGDFiBA4ePAhLS0uxY1ERYzmTSvz8888YMGAAbGxsxI5SKA4ODggKCsKZM2eQlJSEhg0bYujQ\noYiKihI7mk7jtLZSZGQk7O3tcezYMfz7778YNWqU1v1ll1SD5UyFduHCBezYsQOzZs0SO4rKWFtb\nY/ny5bh9+zZq166Nrl27olu3bjhw4AA3NVEDfZ/WzsjIwOzZs9GpUyeMGzcO+/btw1dffSV2LBIR\ny5kKRRAEeHh4YPbs2TA1NRU7jspVqFAB06ZNQ0xMDFxdXTF58mQ0bdoUGzduRHp6utjxdIY+T2tf\nvHgRLVq0wJkzZ3DhwgUMGzaMo2ViOVPhyOVypKamYtiwYWJHUasSJUpkT28vWLAAMpkMNWvWxO+/\n/87rc1VAH6e109PTMWPGDHTt2hWTJk1CSEgIqlevLnYs0hAsZ/pir169wv/+9z8sX75cb/bzlUgk\n2dPbe/fuxdWrV1GrVi1MnDgR0dHRYsfTWvo2rX3+/HnY2tri/PnzuHjxIr7//nuOlikHljN9sdmz\nZ6NLly5o2bKl2FFE0aRJE/z999+IioqCsbEx7Ozs4OLignPnzokdTevoy7R2Wloafv75Zzg5OWHK\nlCnYtWsXqlatKnYs0kDcW5u+yI0bN9C6dWtcvnwZlStXFjuORnj16hXWr1+PxYsXo1q1avDy8kLv\n3r31ZlahMJ4+fYq6devq9NR2eHg4hg4ditq1a8PX15e/byhfLGf6bIIgwMnJCV26dIGXl5fYcTRO\nZmYmduzYAR8fHzx//hyTJ0/GkCFDYGJiInY0jaXLN79ITU3Fr7/+ig0bNmDJkiUYMGAAp7Dpkzit\nTZ9t165duHfvHjw8PMSOopGMjIzg4uKCs2fPYsOGDfjnn39gaWmJ6dOn4/Hjx2LH00i6evOLs2fP\nolmzZrhz5w4iIyPh6urKYqYCYTnTZ0lJScHkyZOxdOlSFC9eXOw4Gk0ikaBNmzYIDg7GyZMn8ezZ\nM9SvXx/Dhw/HlStXxI6ncXRpxXZKSgq8vb3Rt29fzJo1C1u3bkWlSpXEjkVahOVMn8XHxwdNmzZF\nly5dxI6iVerUqYOVK1fi1q1bsLS0RKdOndCjRw8cOnSIm5r8P11ZsX3q1Ck0bdoUcXFxiIyMhIuL\ni9iRSAuxnKnA7t27h8WLF2PRokViR9Fa5ubmmD59OmJiYuDs7AwPDw80b94cMpkMGRkZYscTlbav\n2E5OTsbkyZPh4uKCefPmYfPmzbCwsBA7FmkpljMV2H//+194eHhwE34VKFmyJIYPH47Lly/jt99+\nw/r162FlZYU//vgDL1++FDueKLR5Wvv48eOwsbFBQkICoqKi0K9fP7EjkZZjOVOBHD58GGFhYfjf\n//4ndhSdYmBggB49euDw4cPYuXMnLl26BCsrK0yePBkxMTFixytS2jit/fr1a3h4eMDNzQ2LFi2C\nTCaDmZmZ2LFIB7Cc6ZMyMjIwYcIELFq0CMbGxmLH0Vlvp7cvXboEIyMjfPPNN3B1dUV4eLjY0YqE\ntk1rHzlyBDY2NkhKSkJUVBR69+4tdiTSISxn+qSVK1eiSpUq6Nu3r9hR9EKNGjXwxx9/IDo6Gvb2\n9ujfvz/at2+PXbt2QaFQiB1PbbRlWvvVq1cYO3YsBg8ejGXLlmHjxo2oUKGC2LFIx7CcKV/x8fGY\nM2cOli5dyuszi1jZsmUxefJk3LlzB2PGjMHs2bNRv359/PXXX0hJSRE7nsppw7T2wYMH0bhxY6Sl\npSEqKgrffvut2JFIR7GcKV8//vgjBg8ejPr164sdRW8ZGRnB1dUVYWFhWLNmDUJCQmBpaYkZM2Yg\nPj5e7Hgqo8nT2klJSRg1ahSGDRuGVatWYd26dShfvrzYsUiHsZzpo8LCwhAaGooZM2aIHYWg3NSk\nXbt22LVrF44dO4bHjx+jbt26GDVqFK5fvy52vELT1Gnt/fv3o3HjxpBIJLh8+TK6d+8udiTSAyxn\nypNCocD48eMxb948lC1bVuw49IF69erhr7/+ws2bN1GtWjW0b98ePXv2xNGjR7V2UxNNm9Z++fIl\nhg0bhh9++AFr167FX3/9xd8LVGRYzpQnPz8/GBoaYtCgQWJHoXxYWFhgxowZiImJQe/evTF69GjY\n2trC399f6zY1MTU1RWJiIrKyssSOgpCQEDRu3BglS5ZEVFQUd8SjIse7UlEuL1++RL169bBnzx7Y\n2tqKHYc+g0KhwN69e+Hj44O7d+9i4sSJGDlypNaM+MzMzHDjxg2Ym5uL8v4vXrzApEmTcOLECaxb\ntw4dOnQQJQcRR86Uy6+//opevXqxmLWQgYFB9vT29u3bERERgZo1a8Lb2xuxsbFix/skMae2d+3a\nhUaNGqFs2bKIjIxkMZOoWM6Uw+XLlyGXyzF37lyxo1Ah2draIiAgAOfPn4cgCGjatCkGDhyIf//9\nV+xoHyXGiu1nz55BKpXC09MTAQEBWLZsGUqXLl2kGYg+xHKmbIIgYMKECfjll1+4Yb8O+frrr7Fw\n4ULcvXsXzZs3R58+fdChQwfs2bNH4zY1Kepy3r59Oxo3bgwLCwtERkaiXbt2RfbeRPlhOVO2bdu2\n4enTpxgzZozYUUgNypUrB29vb9y9excjR47EL7/8goYNG2LNmjVITU0VOx4A5bR2UVxOlZCQAFdX\nV0ydOhVbt27Fn3/+CRMTE7W/L1FBsZwJgPJ2d97e3li2bBmMjIzEjkNqVKxYsezp7ZUrVyI4OBiW\nlpaYNWuW6JcyFcXIeevWrbCxsUGNGjVw6dIltG7dWq3vR/QlWM4EAPj999/RqlUrtG/fXuwoVEQk\nEgk6dOiAkJAQHD58GLGxsahduzZGjx6NGzduiJJJneUcHx8PFxcX/PLLL9ixYwf++OMP3siFNBbL\nmXD37l2sXLkSPj4+YkchkTRo0ABr1qzB9evXUbFiRbRt2xbfffcdjh8/XqSbmqhjWlsQBAQEBMDG\nxga1atXChQsX0LJlS5W+B5GqsZwJnp6e8PT0RPXq1cWOQiKrVKkSZs2ahZiYGDg5OWHEiBGwt7fH\nli1bkJmZqfb3V/XI+fHjx+jXrx/mzJmDXbt24ffff0fJkiVV9vpE6sJy1nP79+/H5cuX4eXlJXYU\n0iAmJiYYPXo0rl+/jp9++gkrVqyAtbU1Fi9ejFevXqntfVVVzoIgQCaToUmTJmjYsCHOnz+PFi1a\nqCAhUdFgOeux9PR0TJgwAYsXL0aJEiXEjkMayMDAIHt6OzAwEGfOnEHNmjUxZcoUxMXFqfz9VDGt\n/fDhQ/Tu3RsLFizA3r17MWfOHP7/TVqH5azHlixZAmtra/Ts2VPsKKQFWrRogS1btiA8PBzp6emw\nsbHBoEGDcPHiRZW9R2FGzoIgYOPGjWjatCmaN2+OiIgIfPPNNyrLRlSUuLe2nnr48CFsbGxw5swZ\n1K5dW+w4pIVevnyJ1atXY+nSpahXrx68vLzQvXt3SCSSL37NzMxMlCxZEmlpaTA0NCzwz8XFxWHU\nqFF4+PAh/Pz80LRp0y/OQKQJOHLWU//73/8wcuRIFjN9sfLly2PKlCm4e/cuvv/+e/z4449o1KgR\n1q9fj7S0tM9/wfh4GC1aBH8DA2T26AFIpcCCBUBCwkd/RBAErFu3Ds2aNUPLli0RHh7OYiadwJGz\nHjp16hRcXV1x7do17iFMKiMIAg4fPgwfHx9cvHgR48aNw5gxY2BmZpb/D4aHA/PmAaGhyu/f363M\n2BgQBMDJCfjxR8DOLvup+/fvY+TIkXj69Cn8/PzQuHFjNXwqInFw5KxnsrKyMH78eCxYsIDFTCol\nkUjQqVMnhIaG4sCBA7h79y5q166NcePG4fbt23n/kK8v4OgIBAcrS/nDbURTUpSPBQcrj/P1hSAI\n+Ouvv/DNN9+gffv2OHv2LIuZdA5Hznpm1apV8Pf3x7Fjxwp1bpCoIB4/fozly5fjr7/+Qtu2beHl\n5QUHBwfl/3u+voC3N5CcXODXUxgbY+lXX8G/bFls2LABDRs2VGN6IvGwnPXIs2fPUL9+fRw4cABN\nmjQROw7pkTdv3sDPzw9//vknzM3N8VufPug4ezYkHxbzpk1A586AiQnw+LHynPO6dTkOyShWDJLj\nx2HEXb5Ih7Gc9cjYsWMhkUiwYsUKsaOQnsrKysKuXbtQYcQItHn+HLnWYzdsCNy9q5zOrlsXOHoU\n+PZb4Pz5d8dIJEDfvkBQUBEmJypavP2Qnrh48SKCgoJw7do1saOQHjM0NETf1q0/PpV95cq7fxYE\n5a9atXKWsyAAe/cqV3HzvuOko7ggTA8IgoAJEyZg1qxZqFChgthxSN/5+eX//IoVwJs3wI0bwKNH\nyiL+kETy6dch0mIsZz0QEBCAN2/eYMSIEWJHIQIiI3Ovyn7fuHFAmTJAmzbA9u1AXtdMp6QAUVHq\ny0gkMpazjnv9+jWmTJmCZcuWfdaOS0Rqk5j46WMUCuDUKaB6dWDMmLyPefFCtbmINAjLWcfNmTMH\nHTt2hIODg9hRiJTKlSv4sUZGynPOeTE1VU0eIg3EBWE67ObNm1i7di2iOP1HGuDVq1cIDg5GWlgY\n3AEYf3iAhQXQsSOwZ49y2rpzZ8DNTfnrQ8bGADceIR3GkbOOEgQBkyZNwtSpU1GlShWx45CeysjI\nwN69ezFw4EDUqFEDgYGBMPf2Rsm8buEoCMop7Lg45ZS1jw8waRKwe3fexw4Zovb8RGLhyFlH7dmz\nB3fv3kVwcLDYUUjPCIKAsLAwyGQybNmyBdbW1pBKpVi6dCnMzc2VB+3bp9yS8/1tFp4+VW7R+SkS\nCdCjBy+jIp3GTUh0UGpqKho2bAhfX1907dpV7DikJ27dugW5XA6ZTAZDQ0NIpVIMHDgQtfI6Zxwe\nriziz9i6M5uJCXDsGGBrW+jMRJqKI2cdtHDhQtjY2LCYSe3i4+OxZcsWyGQy3Lt3D66urti8eTO+\n+eab/Pdut7NTTlt/5t7aMDFR/hyLmXQcR846JjY2Fs2aNUN4eDhq1qwpdhzSQW/evMHOnTshk8lw\n+vRp9OrVC1KpFJ06dYKR0Wf+ff/tzS9SUnJOcX9IIlEuAvPx+filVUQ6hOWsYwYMGIB69eph5syZ\nYkchHZKZmYlDhw5BJpNh9+7dcHBwgFQqxXfffYdSpUoV7sUjIpT3c967V1nCKSnvnnt7P+cePZT3\nc+aImfQEy1mHHDlyBEOGDMG1a9dgYmIidhzScoIg4N9//4VMJsPmzZvx9ddfQyqVYsCAAahYsaLq\n3zAhQbklZ1SUcrW2qanycqkhQ7j4i/QOy1lHZGZmolmzZpgxYwb69+8vdhzSYnfv3oVcLodcLkdm\nZibc3d3h7u6OOnXqiB2NSG9wQZiO8PX1RcWKFeHs7Cx2FNJCT58+RWBgIORyOW7duoX//Oc/8PPz\ng729ff4Lu4hILThy1gEJCQlo0KABjh49ioYNG4odh7RESkoKdu3aBblcjuPHj8PJyQlSqRRdu3ZF\nsWLFxI5HpNdYzjpg5MiRKF26NP7880+xo5CGy8rKwpEjRyCXyxEcHIwWLVrA3d0dffv2RZkyZcSO\nR0T/j+Ws5SIiItCrVy9cv34d5T7nhgKkNwRBwMWLFyGXyxEQEIAqVarA3d0drq6u3NqVSEPxnLMW\nUygUGD9+PObOnctiplzu3bsHf39/yGQyJCcnw93dHQcPHkT9+vXFjkZEn8By1mJ///03AOD7778X\nOQlpiufPn2Pbtm2QyWS4evUqXFxcsHr1ajg4OHBhF5EW4bS2lkpMTET9+vWxc+dO2NnZiR2HRJSa\nmoqQkBDIZDIcPnwY3bp1g1QqRffu3VG8eHGx4xHRF2A5aylPT08kJSVh7dq1YkchESgUChw/fhwy\nmQzbt29Hs2bNIJVK0a9fP57iINIBnNbWQlevXsWmTZtw5coVsaNQEYuKioJMJoO/vz/MzMwglUoR\nFRWFatWqiR2NiFSI5axlBEHAhAkTMH36dPVsoUgaJzY2FgEBAZDJZHj58iXc3d0RGhqKRo0aiR2N\niNSE5axltm/fjidPnmDs2LFiRyE1evnyJYKCgiCTyRAZGQlnZ2csX74cbdq0gYGBgdjxiEjNeM5Z\niyQnJ6NBgwbw8/ODo6Oj2HFIxdLS0hAaGgqZTIYDBw6gc+fOkEql6NGjB0qUKCF2PCIqQhw5a5H5\n8+fD3t6exaxDFAoFTp06Bblcjm3btqFRo0Zwd3fHmjVrYGpqKnY8IhIJy1lLREdHY8WKFbhw4YLY\nUUgFrl69mr2wq3Tp0pBKpTh//jy++uorsaMRkQZgOWsJLy8vTJ48GTVq1BA7Cn2hhw8fIiAgAHK5\nHPHx8XBzc8POnTthY2PDDUKIKAeec9YCBw4cwOjRo3HlyhWULFlS7Dj0GZKSkrB9+3bI5XL8+++/\n6NOnD6RSKdq3bw9DQ0Ox4xGRhuLIWcOlp6djwoQJ+PPPP1nMWiI9PR379++HXC5HaGgoHB0dMWrU\nKPTs2RPGxsZixyMiLcBy1nDLli2DpaUlevXqJXYUyocgCDhz5gzkcjkCAwNRt25dSKVSrFixAmZm\nZmLHIyItw2ltDfbo0SM0btwYp0+fRp06dcSOQ3m4ceMG5HI55HI5ihcvDqlUioEDB6JmzZpiRyMi\nLcZy1mDff/89KleujPnz54sdhd7z5MkTbN68GTKZDHFxcXBzc4NUKkWzZs24sIuIVILT2hrq9OnT\nOHToEK5duyZ2FALw+vVrBAcHQyaT4dy5c+jduzfmzp2Ljh07cmEXEakcy1kDZWVlwcPDA/Pnz0eZ\nMmXEjqO3MjMzceDAAchkMoSEhKBNmzYYMmQItm/fDhMTE7HjEZEOYzlroHXr1sHExAQDBw4UO4re\nEQQB4eHhkMlk2LJlC6ysrCCVSrF48WJYWFiIHY+I9ATPOWuY58+fo379+ti/fz+aNm0qdhy9cfv2\nbcjlcshkMkgkkuyFXdbW1mJHIyI9xHLWMOPHj4dCocDKlSvFjqLzEhISsGXLFshkMkRHR8PV1RVS\nqRS2trZc2EVEomI5a5BLly6ha9euuHr1Kq+NVZPk5GTs3LkTcrkcJ0+eRM+ePeHu7o7OnTujWLFi\nYscjIgLActYYgiCgffv2GDhwIEaPHi12HJ2SmZmJw4cPQy6XY9euXWjZsiXc3d3Rp08flC5dWux4\nRES5cEGYhti8eTNev36NkSNHih1FJwiCgPPnz0MulyMgIAA1atSAu7s75s+fj8qVK4sdj4goXyxn\nDfD69WtMmTIFmzdv5jWzhRQdHQ1/f3/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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "G = networkx.house_x_graph()\n", "networkx.draw(G, with_labels=True, font_color='w')" ] }, { "cell_type": "code", "execution_count": 12, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "8 [(0, 1), (0, 2), (0, 3), (1, 2), (1, 3), (2, 3), (2, 4), (3, 4)]\n", "5 [0, 1, 2, 3, 4]\n" ] } ], "source": [ "print G.number_of_edges(), G.edges()\n", "print G.number_of_nodes(), G.nodes()" ] }, { "cell_type": "code", "execution_count": 13, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[(0, 3), (1, 3), (2, 4), (3, 4), (4, 2)]\n" ] } ], "source": [ "print G.degree()" ] }, { "cell_type": "code", "execution_count": 14, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "False\n", "[0, 2, 3]\n", "[2, 3]\n" ] } ], "source": [ "print G.has_edge(1, 4)\n", "print list(G.neighbors(1))\n", "print list(networkx.common_neighbors(G, 1, 4))" ] }, { "cell_type": "code", "execution_count": 15, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[[0 1 1 1 0]\n", " [1 0 1 1 0]\n", " [1 1 0 1 1]\n", " [1 1 1 0 1]\n", " [0 0 1 1 0]]\n" ] } ], "source": [ "print networkx.adjacency_matrix(G).todense()" ] }, { "cell_type": "code", "execution_count": 16, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[[ 3 -1 -1 -1 0]\n", " [-1 3 -1 -1 0]\n", " [-1 -1 4 -1 -1]\n", " [-1 -1 -1 4 -1]\n", " [ 0 0 -1 -1 2]]\n", "Число остовных деревьев по теореме Кирхгофа 40.0\n" ] } ], "source": [ "laplacian = networkx.laplacian_matrix(G).todense()\n", "print laplacian\n", "print 'Число остовных деревьев по теореме Кирхгофа', det(laplacian[1:,1:])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Отображение графов" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Можно отображать графы либо встроенным способом (`networkx.draw`), либо через `graphviz` (разными методами в каждом). `DiGraph` это орграф." ] }, { "cell_type": "code", "execution_count": 17, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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OZRp29U8yul0AgL/kTeBKxw8tj/vn3ykYLpLU/EO/drBA53bup8tu+b2CoYLm\nLxAA4FuW6yb5RAgfOVy5Qe/Nv1W1h/YokcazlqXj52x7jbhew676CWELAGhSXgaudPwBFWvffkTr\n331MsgJKRGuTGGUpGC5SpLitxtzwkDr0GuX5OgEA/pC3gXtCrOGotq98UV+8N0/Hqr+UHSqU68Tl\nOgnJshQIBCW5cpy4OvW+WAPGzlbH0tFcjQwASEneB+5XxaO1qt6zVoerNioerVMgYCtc1EZtzxuk\nVu1LeQsQACBtBC4AAAZQ2QAAMIDABQDAAAIXAAADCFwAAAwgcAEAMIDABQDAAAIXAAADCFwAAAwg\ncAEAMIDABQDAAAIXAAADCFwAAAwgcAEAMIDABQDAAAIXAAADCFwAAAwgcAEAMIDABQDAAAIXAAAD\nCFwAAAwgcAEAMIDABQDAAAIXAAADCFwAAAwgcAEAMIDABQDAAAIXAAADCFwAAAwgcAEAMIDABQDA\nAAIXAAADCFwAAAwgcAEAMOD/A64hmdnYZ+mpAAAAAElFTkSuQmCC\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "G = networkx.DiGraph()\n", "G.add_node(1)\n", "G.add_node(2)\n", "G.add_node(3)\n", "G.add_node(4)\n", "G.add_node(5)\n", "\n", "G.add_edge(1,2, color='red')\n", "G.add_edge(1,3)\n", "G.add_edge(2,4)\n", "G.add_edge(1,5)\n", "\n", "pos=networkx.nx_pydot.graphviz_layout(G, prog='dot')\n", "networkx.draw(G, pos, node_size=800, with_labels=True, font_color='w', cmap='Dark2', node_color=range(len(G)))" ] }, { "cell_type": "code", "execution_count": 18, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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DMAzDMAzDMBqNTYdT1b18SbRpE9G1a0Rv3xIZGBB5eBB9+SURn6/u3DEMUxFVll92rWA0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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "G = networkx.pappus_graph()\n", "figure(figsize=(16,8))\n", "subplot(241); title('draw'); networkx.draw(G)\n", "subplot(242); title('draw_circular'); networkx.draw_circular(G)\n", "subplot(243); title('draw_networkx'); networkx.draw_networkx(G, font_color='w')\n", "subplot(244); title('draw_random'); networkx.draw_random(G)\n", "subplot(245); title('draw_shell'); networkx.draw_shell(G)\n", "subplot(246); title('draw_spectral'); networkx.draw_spectral(G)\n", "subplot(247); title('draw_spring'); networkx.draw_spring(G)" ] }, { "cell_type": "code", "execution_count": 19, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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aHh5OcnIyYWFhBAUF9Xmz+IGkhCaiLv4V+u4Xofk4eC//eeQRJiyBER2Ja9CV\nGxKNJocOHWLcuHG9LgecN28eL774IrNmzepzs0VJGo30g2/0IHE9i+aGxir07U+jzv/RFdfCaprG\nsWPHura0MZvNpKSkcOONNxITEzOsPgMOHjxIfHw8YWFhvR4jLS2N3bt3k5eXR0aGvIYbscmroigk\n/fABQmZlcOT7v0N3eS67DtbkZ0f1sZL29I8ImSV/MS7GbrfT3t73tcQDISQkhPnz53PNNddw7Ngx\ncnNz2bJlC4mJiWRmZpKUlIS/v3+fL2CEEN0qie7sFn259cGapp2TzCYfKWbcJW4WKIrAbNMxWwSq\nuaPyX/MqaG4Vj0vhYkmv8HpxV52QyasEwOGn/9anWdezeR1OTn64n5jrcy74Wnt7+yXXoVqt1nMa\nJMXFxREaGkpoaChm88j5eFL8IlAX/gyqc9ELN0B9GZhsfLkWVgHNjQiI4qMyyJn7LcYG9c8aseFK\nCMHevXv7NGsaGBhIeno627dvZ8mSJQZGJw0nmsNJa2EZrlN1oIAtMhz/lARMdtnM63JEzRE4tqPn\niWsn3QMNxxClm1GSFl3wZZfLRUlJCYWFhZSUlBAWFkZKSgr33nsv4eHhw3LGUdd1du/eze23396n\ncRRFYfHixbzzzjukpqYO+dnm/jZyrg4uIWzuNGZte40zH+zg+Kq1tBZXoJhM6AiEpqGi4J+cwLj7\nbyZi8dWo1tH9C3E5Pj4+wyZ57aQoCgkJCSQkJOB0OsnPz2f79u2sW7eO9PR0srKy+tTBTVGUrmSz\nrzrLojsT3NZX30AvKjnnNapJYA/0YvPVEQIUpeMBHT2dhNBQAGebSnuzGSG+PNkLIRDd3CNWGvmq\nP9oPujEtD7ytTo6u2UJjrO8FCaqu6+esPe2cQQ0LCxtV+24qigLRWZiisxBeFzRWIhx1HV/zCYKQ\neBSLLyGffsqOnbv6fLEz0lRVVeH1eklM7Ntet3PmzOH5559n9uzZBAUFGRSdNNQJTaP2o91UvPR3\nWgtKUX1sdH2IArrTRcCUicQ9tJzwRTN7VEUyGggh0Pe93PvEtZPmQuStRsTPRrHYaWlp6Zpdrays\nJC4ujpSUFBYvXkxAQIAxwQ+igoICAgMDiY2N7fNYcXFxxMTEsHv37lG/7deIT14BTDYrkTcvJPLm\nhQhNw3mihqJDhyk7cZxbv7FSnqS6aTjNvF6Mj48P06ZNY9q0aZw5c4bc3Fxee+01goODyczMJC0t\nbVC3UThUF8JaAAAgAElEQVS/LNo8LoZ6Ve3o2AfYfL34BWugnJu0djr7OR9/HZufm9Z6Mx5nR3Mq\nxWSS610lAJxnGvG0GrgEQAjKPthNzcI4wsLCiI+PJzs7m7CwMHx9fYflHfP+pJhtED4RhQv7Kkyf\nPp1nnnmG+vp6QkNDByG6oWnv3r3k5OT0+XfJ39+f7Oxstm3bxk033WRQdNJQ5jh2gvx/+S8cFSfR\nHR3nPa31wiZ1zbmFHPnB7/BNHEfa//sR9riogQ516KotAnerIUMJAcUf/4Vtx03U1dUxceJEMjMz\nWb58+Yi6oSmEYOfOnVxzzTWGjXnttdfy8ssvk52djZ/f0OjyPxhGRfJ6NsVkwh4Xhb+7DUfDaZm4\n9sBgr3k1UkREBNdddx2LFi2ipKSE3NxcPvzwQyZNmkRmZiYJCQmDfsFtmzABxccH4XBgD/Ri99fo\n7pZpnYlsQKiXtkaBy2HuKI9K6tushTQyOM80YrKZ0d0ew8YMUGzcceedho03WtlsNqZPn87OnTt7\n1ZlyJGppaaG0tNSwn8fs2bN57rnnmDNnzpDaTkMyXuO+w3z+0C86dp/Qr9wwTXM4aSkoZd+yx0j/\n868IHkbbJfYnvWLXFdfrd5eiuwlvK2ThwseJj48fFrs/9MaxY8fweDxMmjTJsDE7t3nbsmULS5cu\nNWzc4WbUZm42m23EJGIDxWKxoGka3hFUeqqqKpMmTeKOO+7gO9/5DtHR0WzatIlnnnmGLVu20NjY\nOGix2VOTwePB6tuzxPVsigp+wRpmmw4oWONkAxgJFLOpT1sHX3RMk5xdNcrMmTPJz8+npaVlsEMZ\nEj777DOmTJliWGWMr68vM2bMYOvWrYaMJw1NrUXH+Pwbv+iYbe1G4tpF19EcTj5/8N9oK6nsvwCH\nk7piQ4cLUtpISEgYsYkrdGwvOWvWLMMnQq655hoKCgp6vPvHSDJqk1cfHx+ZvPaQoigjavb1fL6+\nvlx11VU88sgj3HnnnbS3t/PSSy/x2muvkZeXh8dj3CxVd5gCA/HNTMM/uHeJaydFhYBQD0HXL0QZ\nwR8UUvf5jRuD1od9sC8mcGLf1/RIHfz8/EhPT2fXrl2DHcqg0zSNAwcOMGPGDEPHveqqqyguLqa2\nttbQcaWhQfd4Ofz4f/Zot4kLxmh3dYzRx47sI0J7g7HjCQ08vdtffDg4ffo0p06dIj093fCx7XY7\nc+bM4aOPPjJ87OFCJq9Sjwz3da/dFRUVxZIlS/jud7/L9OnTOXToEE8//TTr1q2jqqoKYfS01SX4\nR1qN2S1HAd8xspOi1MFst+E3LsKw8VSrmchrZBdrI82ePZvc3NxRcb69nIKCAiIiIoiIMO73FTqu\nAWbNmsWWLVsMHVcaGk6+vRHX6Vr6VGIiBM6TNVSv+dC4wIYrw695FL7stj7y7Nq1ixkzZvRb1/yc\nnBxqamooLy/vl/GHulGdvLpcxtTvjybDseNwX5jNZtLS0rjnnnt49NFHCQkJYe3atTz//PPs2LGj\nX8v6hMuJN3/vBY2ZekNVwf3pBwOWdEtDX9LK6zH5WA0ZS1FVxi+fZ8hYUoegoCCSk5PZu3fvYIcy\nqPbt20dOzoVbMBlhxowZHDt2jNOnT/fL+NLgEEJQ+ae/oRuwFZje7qLyT3+Xn51Wg5sDCQFmu7Fj\nDhHNzc0UFRUxffr0fjuG2Wzm2muvZdOmTaPyd3PUJq9msxkhxIhavzkQRnLZ8JUEBgYyZ84cvv3t\nb7Ns2TLq6+t5/vnn+etf/0pBQQGaZmxpkbesEFTjynxFexv6mWrDxpOGt5SHDWoGpCiEZU8kSJYN\nG+7qq69m7969uN3GlngPF9XV1TQ3N5OcnNwv41utVq6++mo5+zrCOMqO42lsNmw8d00dzqpTho03\nHOlB8cYO6B+BYuD1zVCye/duMjIysNv7NzlPTU3FbDaTl5fXr8cZikZt8qooiiwd7oXRUjZ8OYqi\nMG7cOJYtW8Z3v/td0tLS2LdvH08//TTvv/8+p04Z8yHnrSgGj4EXraraMaYkAfaxoaT/5KuYfPu2\nNYHJx8rVL33PoKiks4WHhxMfH8+BAwcGO5RBsXfvXqZPn47aj7sCTJ8+nRMnTnDy5Ml+O4Y0sFry\nSwzdSUIxm2g5XHLlF44wLpeLvLw83nrrLd7LrcYjDEo2VTNEZxkz1hDjdDrJzc3lqquu6vdjKYrC\n4sWL+eSTTwa8J8tgG3Vb5ZytM3n1l3tfdttoKxu+EqvVSkZGBhkZGTQ0NJCbm8tbb72F3W4nMzOT\nqVOndu3b2lN6fS1oBlYGeL2I5u53TxZCIE4exXtwE6KqANFUA7oGZitKWAxqYjbm7OtRgsYYF6M0\noNL/z1epXLuThsPl6K6ef/iZfX3I+vX9BE82+K681GXOnDmsXr2anJycEd2Z83wOh4PCwkIee+yx\nfj2OxWJh7ty5bN68mXvuuadfjyUNDGfVKTSHcdcpWruL9qrRUbXkcrk4evQo+fn5HDt2jPj4eFJT\nU0lOWopl0w/AkOZVCmrStQaMM/Ts37+fCRMmEBwcPCDHGzduHLGxsezatYt580bP0h2ZvMqZ1x6R\nM6+XFhISwoIFC5g/fz7l5eXk5uayefNmJkyYQGZmJhMmTOjZDILRO4/0YPGsfvoYnrW/RzSeBq/7\n3GYNHhfiVBnamUq0PWtRk6Zh+cq3UXwDDQ5Y6m+q2cQNH/2W9+f/K03Fx9Ec3V8jZvK1kfavy5ny\nxPJ+jFCKjo4mPDycvLw8srJG1mxFQ7ub/OpGis4009TuwWpWSQzzZ/LYIE4U5JKcnIyfn8Fr7S4i\nOzubnTt3UllZSVxcXL8fT+pfQtON7QUkBKInW+0MM50Ja0FBAeXl5cTFxZGWlsYtt9xyzvZU+pTb\nEYf+Dlrv1xIL1YISdxWKb5gRoQ8pmqaxZ88e7r777gE97qJFi3j55ZfJzs4eNZNxozp5lXu99pyP\njw8NDQa3TB9hFEUhMTGRxMREnE4nhw8fZuvWraxbt4709HQyMzMJDw+/4jimsTFgsRpXOmwyo4aP\nveLLvHv/iXfz6+D1cNkrgC9mhfWSz3A9/wjWO3+GOk5u6D7cWIP8uXH3cxz4t1c58oe16B4v4jJ3\n102+NrzoTPzd/WQ/smIAIx295syZw4YNG8jIyOjXEtqBUni6iZf2lHDweAMWk0K7R0P/4lRjt5gQ\nQmDyOPn69CR0IVAN3ifxfCaTiXnz5rF582ZWrlzZr8eS+p81LAjVx4pu0HZgqs2KNXRgZtIGitvt\n7pph7UxYU1NTufnmmy+5n7KStAhRsQsaK0H0vCpMB5xeIOlmAvoW/pB06NAhwsPDiYqKGtDjhoaG\nkpGRwZYtW7jxRoN6WQxxpieffPLJwQ5isBw9epSQkBDGjJFlj91VV1fHmTNnmDx58mCHMiyYzWai\no6PJzs4mKSmJ6upqNm7cSGFhIUIIQkNDL91KXddx7fkEDGoqJgC/5Q+i+Fy6jNmz+120rX/tmG3t\n9sA6aB60gh2o8VNQAo3d0kLqf6rZRMx104m/fS6a0019wTEUkwmLvx2TzdLRlVgIfGPCyfjpvUz4\n9b18cvQg2dnZ/bYVgPSl4OBgDh06hN1uN3zLmIHk0XSe/7SIp7cWUtHgQBMCjybOuUXm1QVeXeBR\nTBw+42B7WQ05cWEE2Cz9GtvYsWPZsWMHY8aMISQkpF+PJfUvoeucXrcV4TZmHaBXgaop0bh8LPj5\n+WG1GtOlfaC53W6OHDnCli1beO+992hvb2fy5MksXbqU7OxsIiMjL3s+VxQFJXYa4vhe8Lo6Pvu7\nTUGx+PF5yFf456atjB8/fkTNEgoh+Mc//sH8+fMJDQ0d8OPHxMTw3nvvMWnSpAGpVhlsozp5LSsr\nw263Ex0dPdihDBvNzc1UVlYyderUwQ5l2PHz82PChAnMnDkTf39/CgoKeP/99zlz5gw+Pj4EBwej\nnDXDoASF4tq0xrCZ10aznTUNXrxeLyEhIRd8AOsnivCue6Znies5A2hoR/dgyroexTw8P9xHO5/w\nIOJumkVujJdp37qNlGXziLtpNhNXLibntw+T8eN7GHNVKqFjIzh9+jQnTpwgKSlpsMMe8RRFwdfX\nl+3bt5OdnX3OeWK4cGs631+7n+3lZ3B5u3fR69UF9Q4X7x85yZyECILt/Xde6fwZ79ixg6ysrGH5\nM5Y6WEODqPzT3xAeY278mu02Ah9YRnFJCZs2beLQoUPU1dWh6zr+/v5D+gae2+2msLDwnIQ1JSWF\nG2+8sSthtVi6f2NIMVlR4mcjmo5Dez2IbqyBNdkgKAZ1/g+JTe4obX3nnXcIDw/vVhXacFBSUkJ5\neTnXXXfdoJw7LBYLqqqyf//+UXF9PqqT18rKShRFkWtcesDhcFBUVER2dvZghzJsqapKeHg4U6ZM\nISsri7a2Nnbs2MHOnTtxuVwEBwfj4+ODoqq01NWiV5ag9nUfL5sPYfd+m/Cp2ZSUlPDee+91/f6H\nhISgKuD+y4+hva/71gpEcx2m5P7vtCf1D03T2LhxI0vvuI2w1PEET44jICEKs/3crsRxcXFs2LCB\nhIQEAgJGYhHY0BIWFsbevXsJDQ0dlDv7ffXrDw/x2fH6bieunQQdM7afFJ/ixrRYbOb+a1oVERHB\nnj17CAkJISxs5K3JGy0UkwnXmQZaj5RBH9eqKhYzsffeSPrdNzNlyhRmz55NdHQ0ra2tHDp0iI0b\nN3L06FGamppQFAV/f/9BL+3vTFi3bt3Ke++9h8PhOCdhjYqK6lHCej7FZEWNuwolKBbRdAK8zo5t\n/c5OZFULmCxgC0KZcjvqtJUo1o6Z1jFjxhAfH8+7776LoijExsYO+5tF69evJycnh8jIyEGLITo6\nmq1btxIRETHiq0eG7u2iAeDj44PL1fdNrEcT2W3YWH5+fsyaNYurrrqK6upqcnNz+dOf/kRERASq\nqtJwupmv2uzQ3tr7gygKpvBIbLMWMkE1MWHChK7yoYMHD7JhwwbmRvuS6Wju+95ZXg/6ke2Ia++X\nDZyGqZMnTxIaGnrJdU+dfH19WbRoEevXr+fBBx8c9Au2kU5RFObMmcOOHTuG3Wz3rmNn2F5W0+PE\ntZMA2jwav9tcwC+XZBgb3FlUVWX+/Pls3ryZpKSkYX9BPZrFP3wHp9Z8hNbH2VfVZiXuwdu//Luq\nEhsbS2xsLPPmzcPj8VBVVUVZWRkffvghtbW1jBs3joSEBBITE4mMjByQ3yOPx0NxcTH5+fmUlpYS\nGxtLamoqS5cu7fWOB1eiRGdhis5CNJ9E1BUj6srA4wCTFSU0ASU0EUISLvr9x8bG8uCDD/Lmm29S\nV1fHkiVLhm039ZMnT1JfX8+UKVMGNQ6TycS1117Lpk2b+OY3vzmiP5NH9cxrTU0NTU1NTJo0abBD\nGTaEEOzevZvZs2cPdigjiqIoBAQEkJiYiMlkIj8/H6/Xi8urYZ+URkR1KYreyxb1Nh8Cv/cUauCX\nd+JMJhORkZFd2/wE7vsbPo46Y74Z1YziH4IaI/9dDUedaysnTpx4xddGRkaSl5eH1+slJiZmAKIb\n3SIiIti2bRsxMTEEBQUNdjjdIoTgu2v30+js2/pDXQhONrczN3EMIb79Vz4cHh7O/v378fPzG9br\ni0c7s58dW1Q49TsOXLYB3eWodhuT//MJAjOSL/kak8lESEgIiYmJTJs2jenTp+Pr68upU6fYtWsX\nW7Zs4cSJEzgcDnx8fLDb7YYlsx6Ph6KiIrZu3cqGDRtobW0lOTmZpUuXMm3atD7PsHaXYgtACRmP\nGp2FOm4Gasw0lNBEFHvIZb9XHx8f0tPTOXjwIHl5eSQnJw/pEuxL2bhxI6mpqUOiijM8PJxDhw6h\nquqgzgL3t1GdvNbX13P69GlSU2WH1O5SVZXNmzczb948eVfaYKWlpaxevZq2tjbuuOMOFi1aRHp6\nOqfdOoV1TcQ0n0ZBdH8HHUUBmw8B3/0PzPGXTkSsVivmba+DZtAm17oGqhlT2ujZc2wk2bFjBykp\nKd26cO8s+Vq7di3p6enYbLYrvkfqPUVRMJlM5ObmDpt1TXknG1lXcAKvbsDeJULg0XTmJPZfk0VF\nUQgMDOSTTz5h2rRp8nNuGPNPSUBvd9GSX9LjBFa124j7xu3E3tuz7q0Wi4WIiAgmTpzIjBkzmDp1\nKiaTicrKSrZs2cKePXuoqanB7Xbj6+vb43Omx+Ph6NGjbNu2jfXr19Pa2sqkSZO48cYbmT59+oAl\nrEYxm81MmTKF6upqPvnkE5KSkrDb7YMdVrc1NDTw8ccfc+uttw6JxFtRFCIiIli/fj3Tp08ftrPZ\nVzL4P+lBJPd57Tmz2YzJZMLj8QzbjntDTUNDAxs3bqSmpobFixeTnJzcdcEUGBjI3LlzEXPmcGLP\ndtQ3nsXkbMNypS5/Nh9MEdH4P/pTTJGxl39te8vFmzRZVBSbCVQFdIFwa+DuXtmfXlPerddJQ4uu\n61RVVbFs2bJuvyciIoLs7Gw2btzI8uVyz9f+lpmZybZt2zh9+jRjx15566vBtvPYGZyeXlaNnEcT\n8OmxM4aMdTkTJ05k+/bt5OfnD5ubBNLFJf7r17FFhVPy1MsIj6djD9jLMamoVisTf/ZNoldc3+fj\nBwYGdlU4CSGoq6ujvLycI0eO8P777xMQEEBCQgIJCQmMHz/+oss1PB4PJSUlFBQUUFxcTHR0NKmp\nqdxwww0jorOsqqosWbKEffv28corr7BixQri4+MHO6xu2b17N9nZ2UPqxm1sbCxxcXHs3LmTa665\nZrDD6RejOnmV+7z2jt1up729XSavfeR2u9m+fTv79+9n1qxZLF++/JJ37hRFIfaqeYhpV9G27QOa\n1r6B1dGMpqiYFAVVVVHMZnC7MUXH4bPkTqw5c1HUbtx183zRbEHzgllBDbahBtk6Zm67GkUpdE75\n6i1u9Abn5RNZo/amlQZUTU0Nfn5+Pd7CYN68ebzwwgsUFxd3q9xY6j2LxcLMmTP59NNPue2229Dd\nblxFR3EWl+I5fRpQsESOxWdiErZJE1GtgzsLk3uy4XK7RfdYs9NDi8vTr1vnKIrCggUL2LBhA2lp\naSN67dhoEHP3Vwidk03p716l9uM9eIWOSdPp3FxYKGD2tSO8GuHXzWLC9+/DJ9r42X1FUbo67Obk\n5KDrOqdOnaKsrIx9+/bx7rvvEhERQUJCAvHx8bhcLoqKijh69OiIS1gvJicnh5CQEN5++20WL15M\nRkb/rW83gsPhIC8vj29961uDHcoFFi1axEsvvcS0adNG1JZEnUZ18ipnXnuns2nTcFlzNdQIITh0\n6BAfffQR48eP55FHHiEwsHvNjRSLFf9Fy9hvDoKWJqaG+FGZn0dV1XG0wGBiZ84lLWcmtp6U3Zht\noOuoQVbUiI7GDoraWSp3YcmcGmBFDbCiNzrR65xc9MpUbpUzLFVUVPRq3Y7FYuErX/kKGzZs4Fvf\n+tawKlsbjnJycnjht7+jquo5XJu3oSgKuscLni9K/y0WVIsZISDoK9cTetcKTIGD0xG6rs3YpohW\nk0p9m7vf933t7KL9+eefk5WV1a/HkvqffVwkU575Mbmf7uLYB9uZ4h9Ge8VJvF6NwvpTLPrGvYTM\nysASNHD/TlRVJTo6mujoaObMmYPT6WTPnj3k5+fz6aefAhAaGkpOTg4pKSlERUWN+BspSUlJrFy5\nsquR04IFC4Zs6f6+fftISUkZkt32Q0JCyMzMZPPmzdx0002DHY7hZPIqk9ces9vt8ufWSydPnuSD\nDz7A6/WyYsUKxo0b16tx6uvrGT9+PKFZWYRevYh0Xae8vJzc3Fw+euYZkpKSyMzMJDEx8YofdsLu\nj2msD4qv6ayk9dI6X6MG+6D4WtCqWi5IYNWx43v1fUmDq7KystcN7JKSkoiNjWXr1q1ce+21Bkcm\nnc2z/yBL9h7E4fGi6vqF9488HvQvEtnGf26geeOHRP7wX/GbmTPgsfbHdedAXMt2zr7+4x//ID09\nfcSuHRttjp05TcyyBSTldPxbEELw3n/+J7ctyMEyCKWfXq+X0tJSCgoKOHr0KJGRkeTk5DB58mTM\nZjMVFRWUlZWxdu1aWlpaGD9+fFeZcXh4+JBK7ISmobe3g6Ki+va+MdWYMWP4xje+wVtvvUVdXR23\n3HLLgN8QdXk1tpSc5sOj1RTVtNDkdCOAQJuFiREBzE+MoHDfZzy48usDGldPzJ07l+eee46ZM2cy\nZkz/9QkYDDJ5lUlYj3WWDUvd19bWxscff8zRo0dZuHAhmZmZfbqDWldXx7Rp07r+rqoqEyZMYMKE\nCbS3t3P48GE2b97MP//5TzIyMsjMzLzkvoUi939R/Mw9viBUVAWsJkwx/mjHz9rKx2xFTRja5T7S\nhYQQVFRUcN111/V6jOuvv54XXniB9PT0EfdhOVQ0rl1P7Z9fQ3V1szT/i0S2+j/+L+EPP0jw0iX9\nG+B5xvrbqW427nPWpemE+w1MkhEfH09YWBgHDx5k+vTpA3JMqf8IISgtLWXevC+bCXbudd7Q0DBg\n3Vm9Xi9lZWXk5+dz9OhRxo4dS2pqKtddd90FJZ7JyckkJ3d0O25tbaW8vJyysjJ27tyJrutdiWxi\nYmK3K7iM5DldQ+O692jbvRdP9amOJ4VAsViwJcQTeP11BCyYh3qFrdfO5+fnx8qVK/nnP//Ja6+9\nxl133TUg5a9CCNYVnOC57UUIoP289fpNTg+fVdWTd6Ie3TaFhONtrAgPRx1CNxE62e125s6dy4cf\nfsg999yD0HX0U8fxVhSjN9QCoIaEY46fiBoZizKMZvVHdfJqsVjQdR1N0+Rd1R6Qe712n6Zp7N27\nlx07dpCens5jjz12xf0zu6Ouru6SyajdbicnJ4ecnBxqamo4ePAgr776KmFhYWRmZpKamtrVXEDU\nHIFjO3o9k6GoCviYUYNt6I1flAcKgSlVdhoeburr6zGZTH1aDuDv78/8+fNZv349999//5CaFRgJ\nWnfvo/bPqxDdTVzPIlxuav/4Zyxjx+I3Pbsforu4zJgQDlU3oBm08DXM14qvdeAuXRYsWMDq1avJ\nyMiQ5fDDXE1NDRaLhdDQ0HOeDw0N7ffkVdO0rhnWoqIixowZQ1paGtdee223y079/f2ZOnUqU6dO\nRQhBQ0MDZWVlFBcXs2nTJnx9fbsS2fHjx/dr116tzcGZ5/9E69btCASct5+u0DScR4pwlVdw5sWX\niXjkQQJvWNyjzwSz2cytt97Ktm3bePnll7n77rv7tUldu8fLj9YfpOBUM84rdKfuaPmh8NLuUj4q\nPsXTN0/r96UMvZGTk8OB3bs4/sYL+O3fgnA5AQU8ro7/WqwdNxvsvvgsvg2fBTeh2Pp+jdrfRvVW\nOYqisHfvXrKysmTzoR6orKxEUZQhsafVUFZSUsLq1atxOBwsX76c9PR0Q1qpOxwO9uzZ0621IH5+\nfiQlJTFz5kx8fX3Jz89n48aN1NbW4mOzEfj5H8Hd0qd4FEVBsZvRG52gWlBTZmNOX9CnMaWBV1RU\nhK7rfd46LDo6mgMHDqAoClFRUQZFJ2nNLZz44U8Q7X2YxdQ02j7bT9DSG1AH4DOvubmZY0eP8Fmd\nF2HAjQyLqrA0NYYZceEGRNc9gYGBVFRU0N7eTmzsFTq3S0NaXl4ePj4+FyyNOHHiBJqmGX5N05mw\nbt++nXXr1lFfX09iYiJf+cpXmDlzJjExMb3uUqsoCna7nejoaNLS0pg9ezZxcXE4nU6OHDnCxo0b\nOXLkCA0NDQghCAgIMGySxl15nKrHnsBVUorweEC/TPNGrxe8Xhy5eTjzDuM/d3ZHc8luUhSF8ePH\n4+/vzzvvvENERMQlb9z3hcur8diazyiqacZ1pY7UZ/HqgqZ2N1tLa1iSEo3FNLRmL7XifCZseh1T\n8WFUV3tHY07N29GMU4gv/+5qx1uSj2vre5gTJ2MKG9qVU6N65hW+LB0eqd3b+oMst768+vp6Nm7c\nyJkzZ7j++uuZNGmSoTNQ9fX1hIaG9mhMk8lESkoKKSkptLa2kpeXx8GPVjM2sB6rEedaIVADbehO\nC5brv2nAgNJAq6ioMGR7AkVRuPHGG3n99ddJTk6W51aDNLzzLnovZlzPJ5xOGtf8k7Cv3W1AVBfS\ndZ3S0lL2799PRUUFU6ZMISYogEoDSocVReH29IG/abpgwQLeeOMNsrOz5Y3uYaC1qoaTG/dx+tN8\nWspOgqIQMCGKcrWVjHsuLJsPDQ3l9OnThhxb0zTKysq6ZljDw8NJS0tj4cKF/VrW23mzMCoqitmz\nZ6NpGsePH6esrIytW7dy+vRpoqOju2Zmo6Oje7V0yX2ymqrv/gC9zXHWbgRXJpwu2g8XcOInTxL7\nm1+j9DCRnjJlCsHBwaxevZqrr76amTNnGnpd9cKnxZTXt+LuRYmIRxecbHbw280F/OL6dMNi6ivX\nns20rfpvTO5uNs1zuxBuFy1P/xi/B76PLWfoVtDJ5FUmYj1mt9tpbm4e7DCGHJfLxfbt2zlw4ACz\nZ89mxYoV/bJp9eVKhrvD39+/48PNVowoKzQkJsWkogTZsN70f1DsI68t+2hQWVnJ7NmzDRkrMjKS\njIwMNm3axK233mrImKOZ8HppWvf+l92E+zKW20Pj2vWEfvWOHl9AXk5raysHDx7kwIED2O12pk+f\nzm233YbVaiX+VCP/8u5nuLzdn9E4n82sclNqLFGB/VcKeSljx44lPj6evXv3MmfOnAE/vtQ9jQXH\n2P3EH6jZfgjFbMLb9uW13elteehWldw39nLqmgxm/r9vE5zScSMkJCSEwsLefxZqmkZ5eTn5+fld\nCWtqaioLFiwYlHWo0HHDOj4+nvj4eBYsWIDL5aKyspKysjLWr19PY2Mj8fHxXclsRETEFZNBoWlU\n//t/9jhx7Xq/242ruIT6t/5G2D139fj9sbGxPPjgg7z55pvU1tayZMkSQ2aTC2uaWVdwvE/nJ48m\n2GqPzTIAACAASURBVFZWw4Hj9WTHhl75Df3MU5RH26r/hu4mrmdzu2h75XeowaFYJk4xPjgDjPrk\nVe712nOy2/C5hBDk5eXx8ccfk5CQwKOPPtqvrdM7Z177rPboRTbC6T3Vx4Yyrm8lp9LgaG5uxul0\nEhERYdiY8+fP5/nnn6esrIzExETDxh2NXOXHEJcrzesh4fXgrqzCljC+b+MIQXl5Ofv376esrIzU\n1FRWrFhBdHT0Oa+bEhnMbVPH8e6hKpy9uEA0KQphvjYevXrw9hC+5pprWLVqFdOnTzekb4FkHCEE\nh/7vm+T+6g00p7sjsXJdeKNHdevo6Jz8aD//nPYIWb+8jyn/uoLQ0FDq6+t7dMzzE9awsDDS0tKY\nP3/+kNxG0GazMXHixK59uNva2igvL6e8vJw9e/bg9Xq7mj8lJCQQHBx8wRiN697Dc+pUrxLXTsLl\nomH13wlYcA3W6J4vKwkODuaBBx7g73//O3/9619ZsWJFn/89/mVfGe4+JK6dXF6dV/aUDnryKpzt\ntL74H71LXDu5XbS+8B8EP/XqkFwDO+qTVznz2nOy2/CXTpw4wQcffICu633a+qYn6uvrSUpK6vtA\n7Q2X/pqPDcVmAZsVVKXjw8rtQbg80O66+IeXAnjawCpnXoebyspK4uLiDC3DslqtLFmyhA0bNvDo\no49iNptx1dTT9Fk+zYeO4q5tQDWb8UseT8DUSQRlJhs6EziSuIpLLr+urKcEuIpLe528trW1kZub\ny4EDB7BYLEybNo1ly5Zddv3eo1dPoqHdzZaS0z1KYFV0wvzsPH97zv9n783Do7rSO//PvbWrSktp\nBQmQkBAgNgECjDGbjcEGjNm8tLHb+9JeupNfJsl0fpOkk8kknZks3ZOO6bY7TXd42gYT8EobMAjM\nYgNmN7tYJARo30uq/d4zfxRVRmhXXa3U53nqUVWp6tSpkure8z3v+35fTPq++/9ISkoiOzubQ4cO\nMX/+/D6bR4TmCCE4+Na/ceU/d6C4OrlYVwWKy8PJn/wnzhuV5P3Tazgcjg7NOxVFoaioiLNnz3Lh\nwgUSEhIYN25cvxWs7WG1WpkwYQITJgQia7W1tSEn4/z8fEwmUzMxazGbqf1gM8Idft9moajUffQp\nyW++1q3nm0wmnnrqKbZv385vfvMb1qxZg91u79ZYTq+fg9eqWm1X3x3OlddT3eQhoZcc0VvDvesj\nhMsZ9jjC2YR796dYFj+hway0JSJeI+K1y0TchgMpcvn5+Vy+fDnU+qa3nFWrq6u55557NBiplcN1\ndBRSjC0gRCWp2XsSRgOS9dZzGl2I+saWIjaMHdkIfce1a9d6xIBtzJgxnDx5kv3vbca+9yz135xG\nMupRmtyh/xXZaEAy6JGNBoa9sJIRL65ENvY/18a+xF9dg/CEv2gMIrwe/NXVXXvOrVZKx44d49Kl\nS+Tk5LBy5UrS0tI6deyTJYn/8eAExqXEsvarAvyqwK+2f7ww62XSZC8rkl0k2vp+93/u3Ln8x3/8\nB9NHZSAd3o3v7HGUsuvg9YJOh5w4BP2YiZjnLkaf0b1+yRG6xsV3PuPKf36B39n174ff6abgPz7H\nPnEk0dHR1NfXt8hqUm/1UA9GWO12O+PHj2fevHkDTrC2h91ux263M3XqVIQQVFRUcPXqVU6dOsVn\nn31GhiqY4mhEEzsiv5+GnfkkvfFqt9dNsiyzZMkSvvnmG9atW8fjjz/erXNYQWUDRp2Er31z4U5j\n0EmcL69ndmbfGB4JVcG982Pwhe+PgM+D+4sPMT/0WL9roxMRrxHx2mXu5rRhRVE4fPgwBw4cYPLk\nybz55pu9mkImhNAubdhoA9+tTQidjJRkB72uzYOUJEkEe+oImwXJakZU1oHXF5wcGHq/Hi1C+BQX\nFzN58mTNx1X9ChMLaih9/3Nqgw6O3ubpfKrXB14fSpOLa2s3UrpxGxPW/iXR47I0n89Awev10tDQ\ngMPhCESEiq9jBc3S/IWAwqIiio4fJzo6OnSJiopqsZh0uVycOnWKY8eOIUkSeXl5LFmypFttOCRJ\nYtWkEcwamcTG49f4w/mbod/5VYEsgV6W8fgVJqfZeXZaJjkJFt555x0KCjJbuMT2NnEGmZUNhbj+\n9o1AX0fltvYgfhW17Dre8pt4D+ajSxmG7dX/ji41fBO0CK3TWFzOkT97B7+z++sRf5Obw3/8Nva/\nWxY6t6qq2izCarfbGTduHHPnzm01nXawIUkSKSkppKSkcO+996IoCsW/XY9Py+wPVeAvK8cwNLz2\nRDNmzCA+Pp4PPviAhx56iEmTumaYdKW6EZ9WfbwI9IW9XN3YZ+JVuXkNoYVwvYXwuFDLrve741hE\nvEbEa5e5W9OGL126xI4dO7Db7bz44oskJvZeu4YgTqcTSZKIiooKf7D4TGiqBJ0OaUg8yHKnd0FD\nAjfZjqisDdQXWZOQ5Lv+kDLgcLlc1NXVad7WRvUrnP7B31L3zRnkTrYeUN0e3CUVHH/qz8n9j78l\nbnr/NIvoLqqq0tTUhMPhCInT20Vq8LqiKERHRxMTE0N0dDRDLWaijAYkb/iGTQAYDPiibZRfvx56\nbYfDgdfrxWazYbPZ0Ov1NDY2Ul9fz5AhQ5g6dSpZWVnExMR0u71HkCHRFv543ljemjOaopomLlU6\naPT6MMgy6fFWRifFYL2tl+uqVavYtGkTr776ap8Z4PgunqbxFz8hwesBtZ0wjVDB60G5cZX6//lD\nop58FfP9j/TeRO8iTv3D+yit1LZ2FcXjx5R/iUuj0zl//jwXLlwgLi6OcePG8fLLL3c7JXWwoNPp\nMFdU4lc0Ck8GBsVVWIQuJTm07uhuFHbUqFE899xzISOnzrQRDOL2KSgainJVgNPj7/iBPYRSdIlW\ns+q6jYS/6FJEvPY3zGYzDkd4fS7vNkwmEx6PB1VVu2W1PtCorq5mx44dVFdXh1rf9OVctOpxJqVN\nRZSeQkqydUm4NhtDliHJjiirhdQpmswrQu9SXFzMsGHDNP8uX/q7X1L3zRnUbtRIqS43377yE6Zv\nXYtlWM81pdcSj8fTQoTeKUybmpqwWCzNhGl0dDTp6emh6zExMZjN5mbfR09hEdf3foVAG/EqyxJT\nlz+KcXjzvqWNjY0cPXqUU6dO4ff7SUtLIzMzE7fbTUFBAceOHQs5zd8esW3rYjC0n/6tl2VGJUYz\nKrF9g7sRI0YwY8YMPvzwQ5599tleP+/4Lp3B8fP/0TUDFCHA58G56V2E4sfy4Iqem+BdiN/l4crv\ndyL84Qsq4fPj/OI0N2clc++c2RHB2grdOY63h9fjZsvGjVzf9QXitnKj24Xsndc7+p0Qgq+++oqD\nBw9iNpuRb61r2ntegYhDiATQJiEaEFw6f5b3rh3p9Lzb+l1rn0dHYw09e4hUj1s7M06vB7W2UqvR\nNCMiXs1mPBrWEt0NyLIcErDdSR0bKHg8Hvbt28eJEye47777ePLJJzVr8t1dNEsZBqS0PMTFDYGU\n4XDqdSUJKT4aadQCTeYVoXfpiXrXuiNnKPsoH9Xd/fQl1ePl3J/8b6Z+8C+9Vk/e6jxuRUvbi5Q2\nNDSgqmpIkAZ/xsfHk56e3kyoducYYkwfgWwxo2iUJSTbbBiGpQGBUoSSkhKOHj3KhQsXyMrK4tFH\nHyUjI6PNz/12oR681NfXc+PGjWb3GQyGDgWuzWbr1Gcye/ZsCgsL2b9/P/PmzdPkc+gMapODxl/8\npPvOnV4Prs3rMGSPR5/ed27Jg43q45eQ9Tq0igXqDXpSlSjuu+8+jUYcXOisGmR73YbJbOaJZ57B\nOmMaQEjACiHavd7R7/x+Pzt27KCuro5HH32UqKiodp93ptzB+f1XcWrgNgxg0cvMzBnJlOSoLs1b\nq98ZO9gw7DqiX3qZRMRrJG24WwRNmwajeBVCcOrUKfLz88nKyurx1jddobq6WjPxilCQoqOQCO+g\nLUkSwmwCqe9SZSJ0n+LiYh588EFNx7z0d78KS7hCwJGyqeAatQdPET9L+3pc+E6EtSdMg9HS2wVo\nTExMKFoavP/OaKmWSLJM3Krl1Px+A8IT3ucqmUzYV6/A6/Vy+vRpjh07htvtJi8vjzfffBObrWO3\ncJPJhMlkard0QgiBy+VqIXIrKyu5evVq6Pbt0ej2LlarlVWrVvHOO++QkZFBenrvpLE531sbvlmW\nL9B2IvYf1vU745OBSvWJy6heDc85qsBx9pp24w0yzDljaTxwEOHVpp5S+HyYMkeGboebOnw7Tz75\nJHv37mXTpk089dRTpKS0nb1zT6wd374rYb9mEEVILJiSQ2IfuQ27/fU4zx4Gr0a6xmhCtmvXQk8r\n7nrxGunz2j0Ga93rjRs32L59OxA4AA4bNqyDZ/QuNTU1jB07VpvBqk8hyTpNWnBIAGVfQebqsMeK\n0Ht4vV4qKipIS0vTbMzGi0U4i252/MBOoDjdFP/Hli6LV1VVaWxs7FCYCiFapPAmJCSQkZERur+z\nkcGeJu7RR6j7+DMUT9f6UbbAZuVrWXDm5z8nIyODBx98kMzMTM2Fd7A2Pyoqqt3F4+11wLdfbt68\n2ey22+3GZrNhNpv5/e9/z8SJE7Hb7S1ErpabCGp9Ld5j+8Effrq22lCH/9wJDBPyNJhZBE9VfaCn\nq0aoHh/uynqEEH2a6dFfsYzPCbTN0wjJbEaX0DP9UCVJYv78+SQkJLB+/XpWrFgR6m97J1FGPfeM\nSOSrwkpNKkXHJsf0mXAFAi7nGv//6vphxshdL14jkdfuMdgchx0OB/n5+Vy5coUFCxaQm5vbL09g\nWqYNU3seVI0MYBBQf0mjsSL0Fjdu3GDIkCEd1iZ2hZqvTiA6aIHSFeqPnEaoaihi5fF4WgjS24Vp\nMJoXFRXVQpiOHDmy2X0mk6lffs9bQzabGPqXP+bmj/+q25FARafj69EjybLbeeONN/pFRoksy6G/\nT3v4/f7QhsT+/fu5efMmFouFqqqqZn/7oNlVRxej0djh3DwH87VbCHpcuPM/johXjZD0usDfRqOU\nRkmW0RkDJmX94XvR3zBmjkSfkIDvZknYY0lGI7HLlvb4sXfixInExcWxadMmZs+ezYwZM1p9zeem\nZ3LkejWeMFOHdUJhPNV9mpWoG5aBpNcjNKqGlAwmdKnDtRlMQyLiNSJeu8VgibwqisKhQ4f46quv\nmDJlCm+99VbYTpo9RbBNjlaGTTjDPwk1w9uAUP0g6UBpBOEHSQ8624ARCHcbxcXF2te7fnMaoZUr\nLqAIwfs/X0utkVC09M7a0sTERDIzM7tcRznQsIwbS8qP/xvl//gvXRKwAlB1OuSXn+P5FY8OSKM9\nvV5PXFwccXFxPPHEE6xbt47Y2FgWLlzY7HFer7dFFNfhcFBSUtLstk6n61DgSmePadMv8Rb+K+c1\nG+tuJ2ZUKgabBZ/Dqcl4+igTlvRkampqIuK1FSRJIuHZpyn/2b8hwjVvkmXili3WZmIdMHz4cF56\n6SXef/99qqqqWLx4cYvjX05KLHOGRbO7sBZV6t6x0aCTmJWeQgalvP3228ybN4+8vLxeP9ZKsg7T\nguW4t20K/9hlMGFeuCKQodfPiIjXiHjtFsGa14FMQUEBO3bsIDExkZdeekk7UdhDNDY2otfrtesr\nq2j8fx9lgcrN4L+V1njbrrgwJIEtFyxZSFL/OxDerVy7do1Zs2ZpOqanolrT8SS9nilZo0maNWXA\nRUt7guhZMzH8n7+n9O//N0p9Q4ciVjXo0dvtjPjrv8CcPaqXZtmz6PV6Vq9ezbp16xgxYgRDhnzX\nK9JoNJKQkNDu8VwIgdvtbiFwq6urKSoqCt1effEMHVcAdx7hdqE6m5CjrBqOeneSOG0MqoatW1Sv\nn7jcTGpra3utnnqgYZs3m/rtX+A6fQa66fIsmUwkvfEK+l50c46Li+PFF19ky5YtvP/++zz22GPN\n1lFHjx7FcvEAw5PyKG3y4e1i31e9LDEk2sJfPDgRm2kq06ZNY/v27Rw9epSHH36YkSNHdjyIhlgW\nrcKz+9Ow+71KZgvmBf3TJf2uF69GoxG/34+iKINyp76nGMhpw1VVVezYsYPa2loefvjhNmsh+hua\nRl0BzazhTUaItwfEqr/iu/tvP/77SqGuCur3IeIfRjL1r1riuxFFUSgpKWH4cG1TgrQWljqdjtS0\nNOKS+p9pRF9hHjua9N/8kobtO6nd/BFKbR1CJ6O4PSCB0OnQCXDqdSQ//T2GrHgU2ai1C2XfkpCQ\nwEMPPcTmzZt59dVXO5UGHESSJCwWCxaLheTk5DYfV/vDAwindpFXdDrwuCEiXsMmOiuVqNREHJe1\nqa+3jRxK/Jh0amrCrCkfxEiSxNC/+DOK3/oT/NXV0MXNA8lkwjZnFjGLtDUI7Axms5mnnnqK7du3\ns27dOp566iliYmLYtm0b165d4+UXnscSHcuffXacixUNuDuZQmzWy4ywW/n5imnYTIFjbEpKCs8+\n+yznz5/n008/ZejQoSxatIi4uLiefIshJIsV26s/xvHvf9t9l3SjCdsP/gLJoq3LtFbo/uZv/uZv\n+noSfYkkSRw+fJi8vDxN674GO6WlpTidTrKysvp6Kp3G7Xaze/dutm3bRm5uLitWrGjXLbO/cfXq\nVbxer3aGTTVnwNcQ3hjRNoiLDSzKOhQtKggfOC8BSkTA9jElJSXcuHGDmTNnajpu7TenaSoo0mw8\nSZIY+dZT6G398yTaV0g6HfqsTEpHZ3HCqOeGLFMeZWb08mUkL1tC4ovPcj49jRs6iTE5Gh0z+hkp\nKSmUlJRw+fJl7Y6Lt+He9TF4tMwwkjA/8j0kQ+eFdoTWkSQJvdVMaf5xVF94rsN6q5lpP30FXUYi\nJSUljBs3TqNZDj5ks4noB+biOnYC1eXqdARW1euJW/oQyT98o88ctyVJIjs7GyEEH330EWfOnEGS\nJJ5++ulAX2qdzJKcVGJMRk7erMWgk/G34d9gNujQyRIvzcjiLx6cgMWga/FaSUlJ5OXlUVdXxyef\nfILH4yEtLa1XAmW65FSkuHh85453eZMBo4mo7/8I0xRts7K0ZOAVvvQAkdThrjOQal6FEJw4cYK3\n334bl8vFG2+8waxZswZcpF3TNjkA0SMhnFbWNmtAvHb5ROSHxuOIhiPdf+0IYdMT/V0B4qZPQDZr\ntziXDHqMKf07pb+3qampYefOnfz85z/n+IkTTJo3l5V/+9cUpQ8j7aknsM2aiSE5iZn33suZM2do\nbGzs6yn3GEuWLOH69eucPn1a87F1adqmj0omM3KUlonIdzejnltEdObQsFxwJVkmdvRwsp5eQHx8\nPLW1tRrOcHCij4tj+C/+lfhnnkIym5HaKmWSJCSzGTk5ia9yc2D1in7RKiqYbVRdXc24ceOa+ZxI\nksTKScPZ+sp8/njuWKYNjyfG/F1gK9qkZ0qanbfuG81nL81nTd5IdO38/xkMBubOncsPfvAD6urq\nePvttzl9+nSoL2tPYp79ENFv/QTJFgOd2TAzGJGiY4n+4d9intX70fGucNenDUNEvHaHgZI2fP36\ndbZv344sy3zve9/TtCVIb1NTU8OECRO0GzBxCqL8EJLohrmOwQAxMd1fNAg/OI4gzCOQjG230YjQ\ncxQXFzNp0iTNx02cP53L/+sdTcaSdDqSFs26q2tcgyiKwsWLFzl27BhlZWXk5ubywgsvhEoJHA5H\ni+whm83GxIkTOXTokOa9fPsLRqOR1atX8/vf/560tDRNN/gM46biLzijSascAF3m4IyA9xWyTsf9\n//UTPpv+Oj5H9zbT9TYz8zf9NZIsY7fbI2nDnUTS6Yh/fBVxjy6lcd9XNB48jKfgEkpjYyAqnpSE\neXwOMQ/MwzxhPDVHj7J161ZeeOGFPj2enz59mu3bt7N06VISExPZsGEDNTU1zJ8/v9m8THodS8el\nsXRcYM0YFJvdnXtMTAyrVq2iuLiY7du3c+TIER5++GFSU1PDf1PtYBifR+xPf4f7iy148j9BqAqK\nz4dOuZWtYDSDLCHp9JgWLMeyaHW/TRW+nYh4JdLrtTv0d8Mmh8PBrl27KCwsZMGCBUyaNGnAL4C1\nbJOjqionLpSS5hAkW7vRDSLeHlbQNoAfarYjUp4d8H+bgYYQguLiYpYtW6b52KYhicTdM4mar06E\n3UNYMugY/sJKjWY2MKmrq+P48eOcOHGChIQE8vLyyMnJQa9vfvr2er2t1n3OmjWLd999l9mzZ2tn\n9tbPGDp0KHPnzmXLli28+OKLmmXVmGYuwPXxek3GwmzBvGC5NmNFCBE7ejgP5/8L2x/8U/xOD6KT\naaySQYc+yszi3f9CTFZAQFitVhRFwe12D9rvitbIJhMxCx8gZuED7T5u2rRpfPvttxw7doxp06b1\n0uy+Q1VVdu/ezdmzZ/n+978fMnl76aWX+OCDD6iurmb58uVtlg9qtUYZMWIEL7/8MidPnmTDhg1k\nZ2ezYMECrNaeq4OXo6xErXgWy7KnUW5c5etN7zHSHkNCYiKyPRF9Rja6YZlIAygbse/j9/2ASOS1\n6/TXyKvf7+fAgQP88pe/JDo6mjfffLPf9mztCsE2OeGKVyEE58+fZ+3atYF6j6zHkXRdrPU2GkEn\na9P/UHWCV+OWPRE6pKKigqioKGy2nklhHP2T18M2CJJMRpIWz8E2JkObSQ0gVFXl4sWLvPfee7z7\n7rt4vV6effZZnn/+eSZOnNhCuELb4jUuLo7s7GyOHBncafozZszAZrORn5+v2ZiyPQFD7kxo5fPu\n8ljW6EiP1x4icdoYVp5dR/J9E9BbOxCdt2plh8yZxKpzvyVhSvZtv5Kw2+2R1OEeQJIkHnnkEfbs\n2YPD4ejV13a73WzYsIGbN2/yyiuvNHMnt9lsPPtsYAN9/fr1vVJiIcsyU6dO5c0338RsNrN27Vq+\n/vprFA3ds1tD0unQp2dzLnoI+qVPEbXiWczzlqBPzx5QwhUihk0AXLlyBavVytChQ/t6KgMGRVE4\ncuQI9957b19PBQiIsoKCAjZu3IiiKDz++OOMHz++1UXeQKShoYFvv/2WOXPmdHuM4uJitmzZwpUr\nV1i0aBH3338/NvsQkA3gKALRyShZTDQYDdqIV1QQKpJlcLTwGCicO3cOnU7XIyY3AIbYaPSxNuoO\nfdvpSEgzZBljQiy57/7NoHPJbY+GhgYOHjzIxx9/THl5Obm5uTz66KOMGTOmw535mpoaiouLmTJl\nSovfJSQk8PnnnzN9+vQBV+vfWSRJIisri23btpGYmKiZM7thbC6ePVvDSx02GIn+o79DF9+2s3GE\n8DDGWBn13CKS7snBXVFH0/UKZJMBoZcxWC3IBj1IEmmL8pj57z9i8l99H2N0y/TIK1euEB0d3a4L\ndYTuYbPZcLvdnDlzptdMsaqqqli/fj1paWmsXLmyWX1rEJ1OR05ODg0NDXz++eeMHDmyxzZ2b0ev\n15OVlcWYMWM4evQo+/fvx26393jbxt27dzNnzpwuObT3NwbHyj5MIpHXrtOfDJsqKyvZsWMH9fX1\nLFmyhFGjBp8QCifqWlFRQX5+PuXl5dx///1MnDixWeNsaegchOqFki9B7cQCzWTUSLjewluq3VgR\nOkVxcXGPf0+GrVmKr7qO4l9vQe1CU3vJqMcQG03exn/uU4fhmgY3BdfruV7RiNevYDUbGDUsllFp\nMZiN2p06VVXlypUrHDt2jGvXrjFhwgTWrFlDSkrXasHbirwCJCcnM2zYMI4fP84999yjxbT7JVFR\nUaxcuZItW7bw6quvEh0dHfaYcnQstjf+CscvftK9thNGE5ZHn0EfqXftcSRJInXBVFIXTEVVFI5+\nmk/hibPMnjMH67AkYkYPQ+5g8yYSedWOQJ2oCkhIUmDNMXfuXH75y19SUFDA6NGje/T1CwoK+OST\nT3jwwQdb3dS7HUmSmD9/PgkJCaxfv54VK1b0WhvFxMREnn76aS5dusSOHTs4cuQIDz30UI+IWJ/P\nh8/nIyqq/9e1tsfdLV6FB9RaRmcKdHIdeM+BHA2yHeSII2B7GAwGFEXp0/64brebvXv38u233zJ7\n9mxmzJgxaKMK3XEarq+v58svv6SgoIDZs2fz+OOPtxmJltIWIGzpcHlDQMCq7fQ21PozVno3hehu\nRwjBtWvXWLBgQY+/1sgfPo0tJ5ML//1nqF4fqqf9npmyxUT8fVMZ+/c/wmCP6fH53YkQgsPnKnhv\nZwFXShow6GU8PgVVFRh0Mnq9jF9RmZebypoHsxmW3P3zhMPh4MSJExw/fhyr1UpeXh6rVq3q9m54\ne+IVYPbs2WzevJlp06YN2uMkQEZGBnl5eXz00Uc888wzzTbquoth3BSi3/oJjrV/B14vqJ3MJjAY\nsax4FstDj4U9hwhdQ9bpEKmxRJvGkLaw8zWW8fHxlJRESlm6i1Cc0HQG3FfAV0NAvAqEZAZjEvqo\nHB55ZDGffvoHMjIyeiT6J4TgwIEDHDlyhO9973td6mU+ceJE4uLi2LRpE7Nnz+7Vzb7s7GwyMzM5\nfPgwv/nNb5g8eTJz587VtP66vr6emJiYAV9Kd3emDat14D0JvtOglBEX7SMuRgVRA2oFKEWgXAcM\nIMVoG2UaJEiSxJEjR5g8eXKvpx6oqsqJEyf44IMPiIuL48knnyQzM1OTRUp/5cyZM8TGxnaqtYnL\n5eLLL79k69atZGRk8NhjjzFy5MjQ5yOECJlSNDU10dDQQF1dHdWNgkp5FC7VjF5xoBNefKqEKulR\nhYQENPmNGOKiND/wSTGDNxrU36itreXUqVPcf//9vXICs2YOJ/V7DyNbzIH+r0Igm01IOhnJaEAy\n6lEUhYQ5eYz+mzdIf+1xdJaWqV09Ta3Dw//83VG27L1KWY0LVRX4/CrBjgbKrduKKigqc/D5oWtI\nksS4jHjkTn6OQgiuXr3Krl272LlzJzExMSxcuJD58+czdOjQsERlSUkJDoejzVTwmJgYCgoKZO3S\nPgAAIABJREFUkCSpWc3XYGTEiBGcPHmSxsZG0tO1aXejS07FdN9C/DcKUeuqA3e21u5CksBkRk4a\nQvQf/y9MebM1ef0IXefSpUsYjUYyMjI6/Ry3283FixeZPHlyz01sECKEH+r3Qe0XAR8LtRG4/fvh\nB6UBPMXY9YXoTXGcv1SueQaQ1+vl448/5ubNm3z/+9/vVvp3bGwsOTk5fPHFF1RWVpKVldVrYk+W\nZYYPH05ubi4FBQXs2LEDi8XCkCFDNJlDWVkZ5eXlA/7/++6KvAoVfOdAKSSwGwSg3qFNb+2oikbw\nnQJ/IRingTywQ+w9QdBxuDdqA4IEbcb1ej1r1qzpcZvxvkQIgd/vx+v1UlZWRnZ2Njdu3MDr9YYu\nPp8vdN3tdnPjxg1KS0uJjo4mJSWF4uJiLl++3OKxsixjNBpDF4PBcMft8VRVVhBr8pKVMQydwYRi\niMcQHcVY9iARnotsc+6uw1Bfc+3aNdLT03t159UQG03GD54g/bXH8ZRU4jh3BX+9A0mnw5yRyrod\nn/H8qy9j17KPcRcor3Hyw/97AIfTi1/puP+eqgq8quD9nZcouF7HXz03rd1ef01NTZw8eZJjx45h\nNBqZNm0ay5cvb7X+qrt0FHmFQPR127Ztg8LErj1kWWbVqlW8++67ZGRkdCny0u64cQnE/Mk/oJRd\nx737M8oP5BPrdyEpCkgScnwy+lHjMd2/FP2o8YP6Mx4IOJ1OkpKSuvScSNpw1xH+eqjaAqqb0Bq6\nzQcHSpPyshq4cqOS0pIJDE0dpsk86urq2LhxI0OGDOH5558Py/PEbrfz4osvsnnzZt5//30ee+yx\nXnWgttlsLF++nJKSklBrncWLF4d9LKuvryc2NlajWfYdd8+qUSjgPQRqLXR64a2AqAPPl2CaE0gp\njhCiNx2HGxoa2LVrF0VFRSxcuJAJEyb0m4WBEKKZMLz9emu3b7+vo9/pdDqMRiNut5u6ujrOnj3b\nQnQaDAZqa2u5du0acXFxzJs3j4SEhFYE6Xe3OxOl/uSTTxg+fDiTp05t/n4rvgVfpXYfoMGu3VgR\nOqS4uLhTEfyeQJIkzGnJmNOa74ZnXrvIlStXNO3R2VlcHj//379/RX2jF7WLjeM9PoWjFyr49w9P\n80ePNe+ZG0zPPnbsGJcvX2bs2LGsWrWKtLS0Hjl2dUa8jhw5EqPRyIULF8jJydF8Dv2JmJgYli1b\nxpYtW3jttdewWCyaja0bMhx55Qt8cK2eH//4x4GNcUnuN+ekCAFcLleXa/tiY2NpbGzE7/cPGsPH\nnkT4HVD5Aagemkda20fCT2aagdKKj1BTXkfWhfdZFxUVsXnz5lCqrxbfRbPZzJo1a9i+fTvr1q3j\nqaeewm7v3fVKamoqL7zwAmfOnGHz5s2kp6fz4IMPEhPTvbKahoaGbj+3P3H3fDN9J0AN5t93BQH4\nwPMVmBeAdPc4X3ZEb5g2+f1+Dh48yMGDB8nLy+Ott97qdpqyqqqdEo1dEZherzd0kms7imlodt1q\ntbb52NvvMxgMyLKMqqr89Kc/5fXXX2/WgyzosJyfn4/FYuHpp5/WLMIAgTrb3Nzclr8wpYOvmq5/\nl1pDDowXode4du1av3EJD5KZmcn58+eZPn16r7/2rz45S31T14VrEI9PZeeR68yfnEruqERcLhcn\nT57k+PHjSJJEXl4eS5cu7fFde6/X22aPwiCSJDF79mwOHDjA2LFjB73YGjNmDFevXuWzzz7j8ccf\n1/T9lpaWfpfKJw3eGuKBjNPp7LJ4lWWZ2NhY6urqSExM7KGZDQ6EEFDzhy4L1yCypJIcD9cvfEL6\n+NXdnsORI0fYt28fq1atIjMzs1vjtDlHWWbJkiUcPnyYdevW8cQTT3S4zhJCBU8NeOoCdxhjwJwY\nMq3qKpIkMXHiRMaMGcOBAwf41a9+xcyZM7n33ns7PObfSX19/aDIWLw7xKtSFriEtdj2ge9bMEb6\ntAUJpg1rjaqqeDwezp8/z969e4mPj2fJkiWYTKZQCmxnROadtxVFaSYM2xONRqMRm83W4WOD13ty\nEdjQ0IDFYml2kLp+/Tq7du3C5XKxYMECRo8erfkcampqWne7s06AxhMavYoUGC9Cr+BwOHC73V1O\npetpMjMz2bZtG6qq9mrteklVE7uO3sDrD28jxuNT+af3j7FqgpOCgouMHj2aZcuWMXz48F4TiF6v\nt1PpYGPHjmX37t0UFhaGFnpCqKB4A/WasnFQidqFCxfym9/8hmPHjjFtWueNezqitLQ00l6vn9Md\n8QrfpQ5HxGsHNJ0Ffw3dEa5BDDoYartBQ+0NYuxdSx/2+/18/vnn3LhxgxdffLFHM3fuuece4uPj\n2bhxIw8//DATJ05s8RjhuAal+6DuIkhy4AKBzAyhImIyYehciOleDa3RaOSBBx5gypQp7Ny5k7Vr\n17Jw4UJycnI6PV5DQ8OgyLoZ/OJViIDo7CgPv0NUUEpAHR1JH76FyWTC4XDQ0NDQ6TTZzohMVQ0s\nJCVJwmq14na7OXLkSKsC02g0YrFYOox4Go1G9Hr9gFyUVVdXh0RkVVUV+fn5lJSUMH/+fHJzc3tk\nse/xePB6va3WM0v6GIQ5A9xFhPe90oE5A0k/8FNYBgrFxcW9Kqg6i81mIzY2lpKSEoYN06b+qTN8\nvL+w2xHXO6mqd+M3JvCjH/2oT9oQdCZtGALH1fvuu49jh/Yw0nAZas+Cu+rWbwVIeoQlBZLyIHEK\nkq73zbO0RK/Xs3r1an77298yfPjwLrcgaouysrJB2ZZtMBGOeK2pqemBGQ0ehBDQ+A0If9hj6XQS\nJZc+J3r6K50+NzU2NrJp0yasVisvvfSSpv4BbZGdnc2zzz7Lhg0bqK6uZt68eUiShPA1wtXN0HAF\nVD8gWtfz9QXgKAJrGiLre0im7tWe2u12nnjiCQoLC0P1sA8//HCnjm2RtOGBgloNov32DJ1HgP8q\nGFtJpeynBJ1lu5Im2xnB6fV6EUKg0+n45ptvOoxiGo1GoqKi2o1iqqrKoUOHOHPmDHPnzmX69OmD\nuqVDZ6mpqcFms/HZZ59x4cIFZs2axapVq7qcLtIVgq152jyRxD0A5esDteTdRdIHxonQawTNmvoj\nmZmZXLlypVfF6/5vSztl0NQZBDKNUlKf9c/rrHgVipdJMVcZP/ISaslV5Ds3oIQXmq6DqxyK/4AY\nvhhSZnY75a0/kJiYyMKFC9m8eTOvvvqqJsfOkpIS5syZo8HsIvQEQgicTme3ap3j4+Mj4rUjfOW3\n0oXDR5ZgZLKb8+fPMW7c+A4ff/PmTTZt2sSUKVNCArK3SElJ4eWXX2bjxo1UV1ezfNFMdAW/AcXT\nufWQ6oXGa3D6XxFjX0aydb/Ua+TIkbz22mscPXqU9evXM27cOO6///52z0ERw6aBglJG+FHXIOLW\neNqL16CzbFfMfjorQCVJ6lSabPBis9k6jGIajUaOHDlCbW0tixcvDuu9B1vf7NmzhzFjxvDmm29i\ntVo1+mQHNm63m5MnT1JZWcn06dN56623NDUeaYs2U4ZvIeksiMRHoeqj7u28SnpIeBRJ1/PvJcJ3\nFBcXM2nSpI4f2AdkZmayf/9+5s2b1yuv5/L4qXVos/gCUAV8e7Vas/G6SmfEq3BXw/l3kXxN6GVo\n99wY7PV8fRvUnEaMeQFJ17tt0bQkNzeXq1evsn37dpYtWxbWWB6PB4fDEUkr7ccEXfW7s1Fht9sp\nLCzsgVkNIrxlgXRYjdDrdRzcv4PMzKx2/QFOnTrFF198wbJly9psC9bT2Gw2nnvuOXb+4b/wf/s2\nsl6lS/JZqAGxe/7XiAlvIVm63s4niCzLzJgxgwkTJvDll1/y9ttvM2/ePKZNm9YiKy9osNobUeqe\nZvCLV1XbxYTAg9/rwutTNYtiBm/rdLoOzX6C181mM9HR0e3WYgZv91T00mKxUFpaGtYYxcXFbNu2\nDaPRyNNPPx2pIbqF3+/nyJEjHDhwAL1ez8MPP8zUO1x/e5Jg5LU9JONQROIqqP7s1kK3M5tEOpCN\nkLAMyTi4e032N1wuF7W1tf32O5aens5//dd/4fF4euXkWl3vxmiQcXm02tyEyrrecV9vjY7Eq/DU\nwdm3we+iSzVqqg8arwcWWuNeQ5IH5rJBkiSWLl3Ku+++y5kzZ5gwofu19mVlZaSkpAzq3uIDne6m\nDEMg8hppl9MB3gq0CwyBLOuYmJNKfn4+S5cubfF7VVXZtWsXFy5c4LnnnutW/1Yt0ev1LM6uQ3WI\nrgnX21F9cOn3iIl/hBSm6VtUVBRLliwhLy+PHTt2cOzYMR5++GFGjhwZekwwZbi/lQ11h4F5FuoS\nre+sC0CRJVRZQtz2h5QESEKgU1XkVs7vXo+f37z37zQ56ZTItFgsxMbGdigwO9u+pD8RjmFTfX09\nu3btori4mIULFzJ+fKQnHgQO0KdPn2bPnj2kpKTw3HPPsWnTJk1dhDtDTU1Npxq7S8YhiJTnoP4A\nSuMZQEYnt7IbK+kD9edRORA7G0keuBGcgYSqCvx+Fb1O4vr166SlpfXbVHyDwUBaWhpFRUWMGTOm\nx19PFQKNyl2/Q+vxuoDP52tTvAqhwqX3wO+mW5MUfnCVwY2dMCK8TJu+xGQysXr1at577z3S0tK6\n3faipKSk324CRQgQjni12+3U1dUhhIisS9pCs3K8AIqiMHzYUPZu+Ybs7GxGjRoVWhO7XC42b94M\nwCuvvNIr2WcdUnMGnGXIUjgHfQGeWqg4AikzNZlWSkoK3//+97lw4QKffvopQ4YMYdGiRdjt9kGT\nMgx3hXhtjgD8Ohk12FD+jgOTkAJrbFXWIQnQ+xVul5RGk5E3Xn8d5JZGNncb3WmV4/P5OHjwIIcO\nHWL69OksW7as261vBhNCCK5cucKuXbswGAysXLmS9PR0VFWlrq6u13uLVVdXk5fXOWdtSTbiMt/L\nr9Z9wxsvLkInysFbGWhGLhnAmASm4WDJRpIHfrpKf6e4qJb8zy9y/nQZleWNtwSawGKVSU6N4vzp\nMsZOSOmXi7Jg3atW4lUIgcPhoKampsWloqoOj3ccdH/fvAWJcb3XxP5O2o28Vh4PiM9wHPdVH5R/\njUicihSljelRX5Camsrs2bPZsmULL7zwQrc2c8rKyjq1uReh7whHvBoMBsxmMw0NDYNmsa8lTqcT\npcmLTcN9UJ/Px959X+N2+9mwYQNAKBvR6/VitVoZNmwYX375JVarlaioKCwWC1FRUc2u91pv3pI9\n35VWhIPqg5K9iGRtetNCIMskJyeH7Oxsvv76a37961+Tl5eHzWYbFGZNcDeIV8kCIiCwVAl8+lvf\ntvb+SW79TiDwGXToFBW9GthdkVBB6rsFSn/CYrGEcug7QgjBhQsX+OKLLxg6dCivvvoqcXFxPTzD\ngcHNmzfZtWsXDoeDBQsWNOu/WFdXh81m6/Vm6TU1NV2ynT99+jTD00dhsvdeanOE5lRXNvHOzw5Q\neLkav19FVZvvCDsbVYoKXPzs7/cQZ7fw+n+bw8hRbdc19wVZWVls2bKlS88RQtDQ0NCqQK2pqcFk\nMpGQkEB8fDx2u53x48eHrp/7x31UN2hnOjIxs+8+z7bEqxACSvIDi6RwUZVAK4isx8Mfqw+ZOXMm\nhYWF7NmzhwcffLDLzy8tLe13vZIjNCcc8QrfpQ7fzeLV5/NRWVlJeXk5FRUVoYvP52NuXhzTx0ro\nW0tR7AZms5Flq56kvlGwdevWkMi6fPkysbGxqKrK5cuX8fv9oe4RwcisEKJZ+V1Q0N4pbO/8Gbxu\nNHatPZjwOsBVocn7BsDfGBhP401BvV7P3LlzmTx5Mrt27eKbb74hMzOzSxkFXkXhSNlNTlWWcaWu\nBpfPhyzLDLXaGJeQzKzU4aRYez+YdxeI1wSgpvPCtdlzA49TdDJwS8BK5kAKZIROR14rKirYvn07\njY2NPProo81y8O9mqqur2b17N9evX2fevHlMmTKlRer47W1yeguXy4WiKJ02zRJCcPz4cRYtWtTD\nM4vQFieP3mDtP+3H51dQO3DP9bj9lJc6+If/fwcr1+SyZEXH7o69xZAhQ3C5XC3Sm1RVbVOg1tbW\nYjabSUhIwG63Ex8fz8SJE0MCtb362fsmDeUPX19DUcNfgBkNOu4d33cRyTYjr84S8DVp9CoqVJ9C\nZK4Ku0arL5EkieXLl/POO+8wcuRIsrKyOv1cr9dLXV1dv+uVHKE54YrXQK/XajLS0wDddz07ByGK\nogSyUSoqKC8vDwlWh8NBQkICKSkpJCUlMXPmTJKTkwPC0lcJVZs1aZUTQCYqegjWGInHHnuMX/7y\nl5jNZl544QXS0tJCj/L5fDgcjlCbxjt/NjQ00NTUhMfjwe1209TUhF6vR6fTBdra3OrA4fV68Xg8\nuFwuVFVtIWhbi+oGr9v8NzBKOg3fuwRNNzQXr0FiYmJYtWoV7733HqWlpaxbt47FixeTmpra5nMU\nVeXTKxf47EoBEuBWmr/XWreLizVVfHL5PKPiEnhlUl6vitjBr8L0QxHKVXzBd9qdsLwkoehkZCGQ\n5bb/2HcbwZrXtnZxXC4Xe/bs4ezZs226n92NNDY2snfvXs6ePcu9997LihUr2nRE7GoEVAuCgrmz\nO3MlJSV4vd7IpkQf8e3xm7z9f/bh9XbNPMPrVfhowymEKli6qvvmNVqhqir19fUkJyeTn5+P1WoN\nCdS6ujosFgvx8fGhy7Bhw0KCtbulByvnjGT7oWJNxKs92sS4jN5N7w8ihGhbvDZeR9PiXkkGVyVE\nDWzDNavVysqVK/nwww957bXXWu1p3Rrl5eUkJSX129rxCAFcLlfXxasQoFaAv4gl98sYDDfAfTPw\nO8kCciLoM0EemNFYIQT19fXNoqgVFRVUV1cTExNDcnIyycnJTJgwgQceeICEhIQ212zCkASyFZR6\nDWamA+tEJEnC6/Wya9curFYrsbGxLQSWwWAInQPae59Op7NVgRu83tjYGOplHx0djcViwWw2YzAY\nQlFdn89HbW0tZWVluFwunE4nTqeTcQm1zBvpQa/VIUD13tZru+dQFIVHHnkEh8PBhg0bGDVqFAsW\nLGhx7Kt2OfnHb/ZT5XLiVdpeVyhCoAjBxdoqfrxvJ89NmMz84b2zDhz84lW249fpAX/3hGsQScKn\nB6OUoWGF1MAmuJt1p1GIqqocO3aMvXv3kpOTw5tvvtlnvQ/7Ex6Ph6+//pojR46Qm5vLW2+91eHn\n0hnXX63pqmA+fvw4U6ZM6Zc1lIOduloXb/9T14VrEK9H4eON3zJ2QgpZo3s+khSs4W4tglpXV4fV\nasVoNFJfX09eXh4jRowICdSe6Gs8LMnG/ClpfHnyJl5f9+tBTQYdf/z4pD77Dii3FhitCqqmm4H6\ncy1xlQ948QqBPolTpkzho48+4plnnunU36+0tJQhQwb+ex/sOJ3Orv2dlGrwHgMCzvnfLWlubfwI\nJyjXQbkJUiwY80Duv+sap9PZIt23oqICo9EYiqRmZmYyc+ZMkpKSunx8lSQJET0T6vPDj0BKEtgm\nUVtby8aNG0lNTeX111/nt7/9LadPn+5yezdJkrBarVit1nb/B/x+f7sCN3jdYDAQExNDdHQ0SUlJ\npMdbkXWX0dShT9XOubkt6uvriYuLY9SoUeTk5LBv3z7Wrl3L7Nmzueeee9DpdFS7nPzlgXwafV7U\nTm56qkLgFQr/eeYkHr/CQyNH9fA7uQvEqxB+VJ1AG1MOGVVuQkfErClIMPoaFK/Xrl1j27ZtmM1m\nnnnmmchJnsDC8ujRo+zfv5+srKwu1fvW1NQwalTPHwhupyuC2ev1cu7cOd54440enlWE1vjd2kP4\nuilcg3i9Cmv/eT//9KuVyHL4x0lFUdoUqPX19dhstmYR1IyMjFCKr8FgoL6+nnfffZdZs2b1ihh8\nc+UEjl2soMbv6VaA0mTQcf/UVKb2gvhvi3bNmrQwFWmG0KZ+tp8wf/58fve73/H1119z3333dfj4\n0tJShg0b1gszixAOnU4bFgL8F8B/hY5bv4jAY0QteHaDcTro+ta8zOv1UllZ2SLl1+/3hyKpKSkp\nTJo0iaSkJG0DCVGjwXkGvKV02wxO0kPMfRReq+TDDz9k7ty5TJ8+HUmSWLZsGRs3biQ7O7tHHIb1\nej12u71dQ0whBC6Xq5nA9TsdqKqErFG9L5IOjD2rK4LeEMFaYrPZzKJFi5q11lm4aBH/WV7cJeF6\nO15VYeOF02TG2cm292y526AXr6ooRTM3SUmgqFfR9fHBqj9xu2nTzp07uXHjBgsXLmTcuHF3fSRO\nCMGZM2fYs2cPCQkJ3RLzfZE23BXBfObMGdLT04mOju7hWUW4k+rKJk6fLEHpoMa1MzQ2eDhzsoRJ\nU9M6fjDfCdTq6uoWArWhoYHo6OhmAjUzMzMkUDsyH4uNjcVisVBWVtYr7UiizHp+9sP7+OHPD9Do\n8nUphdhk0JE7KoE/fqxrkQGtaVe86rRe9MmBXs2DBFmWWb16Nb/+9a9JT0/vUJiWlpYyffr0Xppd\nhO7SafHaaeF6O7dErPcIGGeArud7jiqKQnV1dYtIqsPhIDExMSRUs7KyQnWpPb0GkyQJEb8YKjaC\n6qTLAlbSgymdw2ecHDiwk9WrVzcrP0pLS2PcuHF88cUXLF++XNvJd3aKkhSqdw2u30TTUDh3CVRt\nzP78QqK0WkEvSoiJiSEqKkrzEjuXy4Ver29xnkhISGDNmjVcunSJ3x7cz834aNQw/m+8qsIvjh/i\nX+9fjL4HywTvAvFahZaNlAX1kd5ft2EymTh48CAFBQXMmDGD5cuX90h630Aj2PZGlmWWLVvWrXpQ\nRVFoaGjo9TY5XRHMx48fZ+7cuT08owit8dWXVzQby+32s+vzi83Eq9/vb1OgOhwOYmJimgnUUaNG\nER8fT1xcXNju2FlZWVy5cqXXemkOTbDyqz+dx09/f5yC63W4O4hmyxLo9TKPz8/kmUWj0en6tpa/\nXfFqGwZVRg0jsAKiBleP09jYWJYuXcqWLVt47bXXMJsDHQWEEFQ4myisr6XaHTCyu6p4Ua1RkXVA\nP6dT4lWp6oZwbTZAQMCaHwRJmzZwwbrUO1N+a2pqiImJCaX8Tpo0ieTkZOLj4/vUS0TSRSGSn4Sq\nj0Bp6HwKsaRHNY3iDweclJSe4qWXXmp1rfPAAw+wdu1aioqK+k97Kou2ASxJqBw6fYPahgIaGhpw\nu92hWtxgunJr17vi9dBRj9eRWVlUXT2H4g8/q6bJ5+NYeQn3DO25DJVBL14FWhSTNx8RPMDAa5cj\nhEAVTfhFLQIFCT16OR6d1PU0EiEE58+fp7S0FCFEpPXNLUpLS9m1axd1dXU88MADYUWga2triYmJ\n6VVjECFEpx2Oy8vLaWho6PW05ggBzp4qwx9GneadXDxbytatW6mtraW6uprGxkZiY2ND4jQxMZHR\no0eHBGpP/l9mZmZy+PBhZs+e3WOvcSeJsWb++Y17OfBtKe/tusT18kb0ehm3x48qwKCTMRpk3B4f\n44ab+dH37iVjSP/IOLjTd6AZtnQ0rc1CAnP/arGkBTk5OVy9epWtW7eybMUKvrxeyNarBTT6vMiS\nhE9RAoJ1xBD++uAeLHoDSzJH82B6JibdoF9KDTg6FK9CBe9Rwg9uKOA9BaYZXX5mU1NTSJwGU34r\nKiowmUzNIqmzZs0iMTGx3wYGJJ0VkbwGHEfAcezWvW2IWMkAkgGX6T7e//ArYmNjefHFF9s8fplM\nJhYvXszWrVv5wQ9+0OttA1tDknWI5BlQ/jWIcP9/JHRJuTwx88nQPX6/n8bGxha1uEEH6OBtnU7X\nocC1Wq3IstwsZbg1vq0sQ9HI2M+t+PnD1YKIeA0HoWHUNYCEwD+gTJsU0YTLdw6XcvGWaJUJVgEL\nVCT0WPRjsehzOiVky8vL2b59O06nk/T0dMaNG3fXC9fa2lp2795NUVERc+fOZerUqWEv7vsiZdjp\ndCJJUqfqS44fP87kyZMjDtJ9RMl1bTfmPB6VuLhExo4dS3x8PLGxsX3mqJqRkcGHH36Iz+fr1QWb\nJEnMyU1lTm4qFbVOLl6vp7jcgc+vYrMYGJUWi85XzaGv9pExpP+0hmov8ipZkhDmRHCWhv9Ckg6S\npyMN0rYhixYt4mfrf8cf7fwMD4EUuBbIMoqi4FEUNl88y+dXC/jR1JmMiU/s9flGaJ1gnWK75zG1\njDYFVtdeDdRyEK6AI3EreL3eFum+FRUVKIoSEqlDhw4lNzeX5OTkHqnv7GkkSYaYexC2KeC8CO4r\ngXY6qgeQQGcF4xCIGsvNKh2bfvdfTJs2jTlz5nS4wT927FhOnTrF/v37uf/++3vnDXXE0DlQcTh8\n8SrrIW1Bs7v0ej1xcXHtrquFELjd7lYF7uXLl0O3XS5XSMBKksTnn3/eqtg9W12BR9Gq9Q9ca6hD\nFQK5h7JTBr14BW1PsqqqUl5RSXy8od3+gf0BIQRO/1ma/McI7LwHojRBQR/cYxEoOP1ncPrPYtNP\nx6If2+rBxOl0smfPHs6dO8f8+fPJy8tj586doZrXu5Gmpib27dvH6dOnueeee1i2bFm323bcSV85\nDXemTY7f7+f06dO8+uqrvTSzCHfi82m7MafX6Zg0IZeYuL5fOJlMJoYMGcK1a9f6LLKfbI8i2R4F\nNE+RVdV4dm7/AxUVFSQn93ytW2doN20YYNgiuPx++EZLkgxDei8a3tucrqnkXGoCvk46f3pVBa9H\n4R8P7+eVSXnMShvRwzOM0Bk8Hg8Gg6H9zTd/IVqWlOG/gSJnUl1d3SLlt7GxkcTExFDK76hRo0hO\nTiY6OnrQpZ5LshFsEwOXVjhx4gS7du3i0UcfZcyYMZ0ed/HixbzzzjtMmDChX/RYlowxiIzlUPRx\n94+rsgHSFiKZu77xFQwyWCwWUlLaTmNWFAWHw8Hu3btRVZX4+HgcDgcVFRXNhG9h9ggCb1E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yMATJ48mVOnTvHNN98wffr0Yb/9vgi0bNhut/cQqx0dHWRnZ5Odne0LIg72/bqtrc0v06zi5FT+\ncd5SXj9xmJvtrbhUtc80lllRkJB4qXAys0dlDtsZIvROAiNAt+iTsVqjaW9vH+ntBIRBiscjGnRb\nr6NNZs9f/0pdXR2xsbGkpaWRmprq+zcyMtJn2jRgj8kQcKodnG/ejkc4GWwxloaKU2vnfMvHTIh7\ngkjDt9nEyspKdu3ahcvl4vHHH2fMmDEhd2B3u926R+0GQ3+C+dq1a1it1pArzQlzP4k2K0+vK+Hp\ndSUD/qwkSaxYsYI//OEP7N69e0Szh30RERGBzWbj5s2b940fCwWSk5OJjo7m2rVrI+Z8qVfmtT/x\nXVpaypEjR6isrAypw7mmaTQ1Nd0nUpubm4mJifGJ1IkTJ1JWVkZiYmKPIIgmBJvrb+FyOXXZjyRJ\nZMUM/yE+zLf4VbJpzAFk8Jxh8AJWBgxgnglyPFYrPPvss1y8eJEPP/yQcePGsXjx4ofWoRu6BdH7\n779PfHw869evH7GMs/c97He/+x3jx48f9nNTX3R1dflVNux0OqmsrPT1rba0tJCRkUFOTg5Tpkwh\nJSVlyMHR/ma89oUt0sr/89gCrrQ0saPiMhca6+l0uzDIMkKAQJAeFc3izDweG5WJZZgDy2HxehfR\n0Q++eDUrmXg8zeiTfTUwKnkKr7xSgKqqNDQ0UF1dTU1NDZcvX6ampgaz2YzH4+HQoUNMnDiRtLQ0\nYmJidBGEmlC51PJXv4Rrz993c7Hlr0xKeIamhlZ2795NbW0tCxYsoKioKKRKTO6mqalpRMbkNDc3\n91k2HDZqengxGAysXbuWt99+m6SkJEpKBha9w01ubi7Xrl0LSfEK3858HW7x2uF20OLqoNOsYZc8\nAXkP9Fc2DN3Pk4ULF7Jz5042bNgw7EE/IQQtLS3U1dX1EKmNjY1ERUX5ROrYsWOZPXv2oOeky5LE\n8px8/nz5QsDGTUZZZnFWLoYQfW95FNA0zf9KMGMWKIngOg6ilb7LiO88rko6GCeB1PP5NX78eLKy\nsvj888954403WLFiRciNcvHS0eXmXEUTl2+10tDqwKBIZKZEM3Z0LPkZcShy36/vGzdusGXLFmbM\nmMHs2bNHPAFgs9koLS1lx44drF27FoAuj4tbnQ3UdLVg9zgxSAq2iBhGRSaSaAm+8dxAbsNut5sb\nN274Mqv19fWMGjWK7OxsnnzySdLT03UzvGptbR2SqJckifz4RPLju5ManW4XnW43BlkmzmwZ0VnW\nYfF6F9HR0VRXV4/0NgIiwjCOTs8pnVYTWAzdF15FUUhJSekxRsEreD766CNcLhfHjh2juroaTdN8\nmVlvljYhIcFvMXa78yRuzU4g9heqcPP1xT9x5JMq5syZw5o1a0Ky9PBuRqJkuL29HZPJ1GukuKOj\ng2vXrvHUU08N657CDB+RkZGsW7eO3/3udyQkJJCZmTnSW+pBXl4en3/+OYsWLRrprfRKYWEhX3zx\nBQ6Ho99RU3rQ4GjjYO1FzjXfwKV5MEgKzokxbLr9NeI2ZEXbmJ0ykdzoFL8Olf2VDXspLCzk4MGD\nnD9/noKCgkDvSq8IIWhra7tPpDY0NBAREeETqbm5ucyYMQObzRZw1nlp9hg+vXYpYPFqkhVW5o0L\naI0wgeF9Dfod/JWjwDIPtDbw3ACt4Y6ZkwYoIMeAnAyGzG6jpz6IiIjgqaee4urVq2zfvp3s7Gwe\nf/zxEZ8F7eVWfQfv7LjEgbM1GAwyTpcH9Y5WNxtlZFnCZFB4dn4uT8/LxWTsKaCOHTvGF198werV\nq8nPzx+Be9A7c+bM4c033+TQ+RNcN7dT3lqFQVJwax60O2dIk2xAE4J4s5V5aYUUxWcFTXjfm3n1\neDzcvn3bJ1arqqpITU0lJyeHxYsXM3r06KCcTTVNo7OzUxeneKvRhNUYGt4YoX2KH2aio6MpLy8f\n6W0EhCxFYFHG4lDLCSz7qhCpFCBLfZe9SJJEQkICycnJpKWl+Rzm2tvbqampobq6mgsXLvDFF1/Q\n2dlJSkpKj5Lj5OTkPl+squaituscIuAMskZEoosf/ewlYiJDyzW6L0ZiTE5/gvnUqVNMmDDhoS6B\nCtMdvf7Od77Dli1bWL9+fVDaAIbK6NGjaWxsDLqD41CJjIwkNzeXc+fOMXXq1KDchkvz8NnN45xs\nrEATmu9ApgoNDDJu0X2tvNpWw82OBmyWWNbkzibePDjn9IEyr9B9zV+yZAnbt29n/PjxAWUGhBB0\ndHTcJ1Lr6+sxmUw+kZqRkcHUqVOx2WxBCwxcvXSJ5Ms36MpOxzPEYKlJVvhJyfSQOdw9qgR8jZBj\nwFQY8D7y8vL4yU9+wu7du/nlL3/JE088wYQJEwJed6gIIdjy5VV+/9kl3B4NTYDrHlM/p7v7/11O\nlXc/L2f7gUr+84vTGJcRh6qqfPbZZ1y7do2XXnop5Ga9S4pM2oIidnSch65uQaqKnvfPpXV7ptQ7\n2thWeZgjdeWsyZ1NrMmq+346Oztpamri9OnTXL9+nVu3bpGUlER2djZz5swhMzNzWEwS29vbsVqt\nQR1bNBKExetdxMTEPPBlwwDRxlJcaiUa/Y+56RsJWYrEapw8qJ/29rz6bj86mujo6B5ROYfD4RO0\nlZWVHD58mKamJhITE3tkaVNTUzGbzTQ4riIh6TJyQJZlWrRrxBBaF9u+aGxsHHYDqb4EsxCC48eP\ns3r16mHdT5iRYcyYMcydO5dNmzaxYcOGoGcRB4uiKGRmZlJRURG0jF+glJSUsH///qCI13Z3Fxsv\nfk6724FHDBzQc2kequ1N/Mf5T/nemDJyolMG/J2Bel695OTkkJiYyDfffMOMGTMGtf/Ozs4eItUr\nVGVZ9onUtLQ0iouLSU5OHrYslaqqfP7555SXl/PjNWu4qrn5zZnjfo+JMMkKz08oYnJKWpB2Gmaw\nhFKAy2w288QTT1BQUMC2bds4e/Ysy5cvH/ZRfEII/vm9U+w7WeUTqAPhdGvUNXfxt68f4P/6XhHl\nx3djMpl4+eWXQ+Z9wYsqNDZd2Uulsw6UwWVS3ZrK7c5G3ji/g5fHLyXJElivrBCC2tpaKioquHbt\nGqqq8te//pWcnBymT5/OmjVrRuTvNtSS4VAnLF7vIjo6mra2tpHeRsBIkoE48xM0O7cjcOFf2a2E\nhIV403KkAUbNeImIiKCzs/9Zad6BydnZ2b6vud1u6urqfH20Z86coa6ujujoaCYtiSUyUR/XZIFG\nq+sWEDpOdP3R1NTEpEmThvU2GxsbexWvlZWVKIrC6NHhAeyPCtOnT6e+vp4//elPPP/88yHTG+6d\n9xqq4jVYM18dqpu3L35Om8vuy7YOBg2Bpnn445U9vDR2MaOsfbciCCH86pddvHgxf/jDHyguLu5x\nIOvq6rovi1pXV4emadhsNp9QLSgoIDk5GatV/4zHYGltbWXLli1ERUXx6quvEhERQToQZ7bwHycP\n4/B4cA/gQGyQZEyKwk9KSpmSMng3zzDBI5TEq5esrCx+/OMfs2fPHt58802WLl1KUVHRsPWK/nFn\nOftOVeFw+3+mcrpV/us7x1k/bxTPrlwUMu8Hd7Ot8jCV7XW+6pPBoiFwqC5+c2knvyhciUUZfCZU\nCEFDQ4OvDPj69etERkaSnZ3NuHHjqK6u5ic/+Ym/d0V3hmLW9CAQFq93YbVacTgcqKr6wKfYDXIM\nCeanaHXtxiNaoZ8RM3f9FgYpnljzIhRp8Bf/iIgIGhr8dzg2Go2MGjWqR5ZR0zQaGhqo1D4b8PdV\nAeLOaNuBRvQ51XaE0O44S4c23oz0cN9mb4LZa9Q00oYMYYaX5cuXs2nTJj777DOWL18+0tsBusXh\noUOHAjIlCiaKojBp0iROnTqla2/uJzeO0uHu8ku43o1bU3nv6j5+UbgSo9xHm8adftfB/l3j4uJI\nT0/nww8/JDEx0SdSXS4XNpvNJ1THjRtHcnIyUVFRIfWYXb58ma1btzJr1iwee+yxHnsrsqXwL/OX\n88m1S+ysvEqXw4nBaPCN0jHJis/MZlFmHivzxhEVojOSH0UGMsoZKYxGI0uWLKGgoICtW7dy9uxZ\nVqxYEfSsWEVVG5t3X8E1yIxrb2hCZle5kWcIndewl6ttNZxruuG3cPUiAKfq5uPKozybO7vvn7tj\nGOcVqxUVFSiKQk5ODuPHj2fZsmW+x7K2tnZEA3N3E868PgJIkkRUVBQdHR0PRaRCkaOIN6+iy3MB\nu+cUAs+dHtK7L2LdY4JkyUykUkKEYazfhwyLxYLD4dBlz94yshv14r6jmhDQpUq0OmUcqox2R7iK\nO/fCrAhizSqRBkFvd0ETKkqIi1en04nT6dSlud4fehPMXV1dlJeXs2zZsmHdS5iRR5Zlnn32WTZu\n3MjRo0cpLS0d6S2RlJTkG4sy3MGdwVJcXMymTZtYsGCBLhmKW50NXGi5iUcENoPU7nGxv+Y8C9N7\nr+joq9/V5XL1KPP1/usdjdbY2EhaWppv7mBsbGxIidR70TSNPXv2cPLkSdasWdPnyJ9Io5E14wop\nS0zhV1s+YOYTy2josiOEICnCSk5sHNmx8WFX4RAkFDOvd5Oens6rr77K/v37eeutt1i4cGFQA8Rv\nbjuHOwDhCt1nrJpGO4fO1TC7KHRK44UQfHzj6JCFqxeP0LjQcov6rlZsEd+e/dva2nqIVVVVycnJ\nITs7mwULFhAXF9fr4xZKAZS2trYRmb8bbMLi9R68pcMPg3iFbkEeaZxIhGECbq0Oj1aHW6tH4EaS\njBjlZIxyMgZp8AOP7yUiIkI38erb9z39rk5Votau4NG8X+/eq/dnNLqFrcMuIUuQEukhwvDtCoLQ\nzNbcS1NTE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irYtm0bZ8+eZdmyZb2Wqy4tzaC53cEfPrvsl4BVZIkIs4F/ee0xEmJCzxxP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\n/hsO2e20hM470pbGpsZ/hIlxi8f0zyQajPvw+uwbJ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Ods2xlKz71JaEjrMntTtsKscFN/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WdnJ/v27eOZZ57pc/fr4MGD+Pn5MW3atG6/lyWZKL9govyGrtbixo0bFBcXs2zZsiGbg457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\nry9Tp05l6tSp1NXVkZeXx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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "figure(figsize=(16,8))\n", "for i, prog in enumerate('dot neato fdp sfdp twopi circo'.split()):\n", " subplot(2, 3, i + 1)\n", " title(prog)\n", " networkx.draw(\n", " G, pos=networkx.nx_pydot.graphviz_layout(G, prog=prog),\n", " node_size=400, cmap=cm.Spectral, node_color=range(len(G)), edge_color='gray'\n", " )" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Отрисовка графов собственно `graphviz`, со всеми возможностями Dot Language, возможна через класс `AGraph` библиотеки `pygraphviz`. К ребрам и вершинам графов можно добавлять атрибуты, управляющие отображением, например:\n", "\n", "* и вершины, и ребра: `label`, `style`, `color`, `fontcolor`, `fontname`, `fontsize`\n", "* вершины: `shape`, `fillcolor`\n", "* ребра: `headlabel`, `taillabel`, `penwidth`, `arrowhead`" ] }, { "cell_type": "code", "execution_count": 20, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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LSUMdUdJAiJjYbDYWL16MoKAgrFu3DjNmzJCrPQqIdF29ehWampqwLzftT5Km\nTp0KTU1Noffl5ubi2LFjUqm3ITAyMqKkoY7oPx0hYnj+/DnmzJmD9PR0eHl5oW/fvkyHRGQsKCgI\n/fv3h5qU5vbr6enhu+++q/b+c+fO0SyAWjI0NKSkoY4oaSBEROfOncOYMWNgamqKffv2oU2bNkyH\nRGTs1atXePXqlURnTQgzbty4asdLFBcX49ChQ1Ktv76inoa6o6SBkC/gcDjYuHEjpk+fjrFjx2Lr\n1q3Q1tb+4uNUVcVZCJ8ogqCgIJiZmaFz585SradRo0aYNm1atfcHBwfj1atXUo2hPqKkoe5oRUhC\napCfn4/Zs2cjODgYO3fuxIgRI0TesGratGn4+uuvJRqPemEhph86hPMjR+KDqalEyxbFlStXUFZW\nhmHDhtW6DEXdR6GsrAzBwcFwcXGpdj0FSRo+fDjOnDmDpKSkKvdxOBzs27cPW7ZskXoc9YmRkREy\nMzPB4XBoHFItUdJASDVSU1MxYcIEvHnzBhcuXICtra1YC8MYGRkJpnmJ4+LFi9i6davQnSBN/f1h\nkJ2Nzi4u6KAlzf2BhcvLy8P27duxYMECmJmZybx+Jj148ABZWVlSmTUhjLKyMmbNmoXVq1cLvT8i\nIgKRkZHo0aOHTOKpD4yMjFBWVoaMjIxa/W0SujxBiFCxsbEYPHgw2Gw2goODYWtrK/U68/LyEBUV\nha1bt1Z7jklgIDL69EEpAwkDADg5OcHMzKxBXlO/cuUKOnfuLNNkqU+fPrC0tKz2/v3794PL5cos\nHkVHCzzVHSUNhFRy8+ZNDBkyBObm5rh69Spat24t9TodHR0xfPhwLFq0qNpzNN++hfazZ0hxcpJ6\nPNVRVlbGjBkzcP36dbx8+ZKxOGQtLy8Pt2/flvoAyMpYLBbmzJlT7f1xcXG4evWqDCNSbAYGBlBS\nUqLZJ3VASQMh5Rw/fhxjxozBN998g/Pnz0t8xb+6MLl0CUXGxsiytmY0jr59+6Jdu3bw9vZmNA5Z\nCgkJAZfLRf/+/WVet6WlJRwcHKq938fHByUlJTKMSHEpKyujadOm1NNQB5Q0EAKAy+XC09MTP/74\nIxYuXIgDBw5AXV1dZvWHhIQIbsKwyspgHBSElG++ARgewMVisTBr1izcv38fMTExjMYiK0FBQbC3\nt0fjxo0Zqb+m5aVTUlJw/vx52QakwIyNjWkGRR1Q0kAavNLSUsydOxe7du3Cnj17sGLFCpmMjhdH\n03v3oMZmI2XoUKZDAQDY2NjAxsYGBw4cYDoUqUtJScGjR49kNgBSmJYtW2L48OHV3n/06FHk5eXJ\nMCLFZWhoSD0NdUBJA2nQCgsLMXHiRAQEBOD06dOYMGEC0yEJZXL5MtjduqGQgWmW1Zk7dy6mTp3K\ndBhSFxwcDF1dXfTq1YvROKZMmQINDQ2h9+Xk5OD48eMyjkgxGRsb05iGOqCkgTRYOTk5GDVqFO7f\nvw9/f384OjoyHZJQqmw29MPD5aaXga9Nmzbo2bMn02FI3ZUrVzBw4MBqLw/Iir6+fo3LS589e5a6\n3UVAS0nXDSUNpEFKS0uDs7MzXr9+jUuXLsn1XHfj4GBwVFWR0a8f06E0OE+fPsW7d+9kPmuiOm5u\nbtUOzi0qKsL//vc/GUekeIyMjJCVlUWDR2uJkgbS4CQmJmLYsGHIz89HUFAQOnbsKPJjZTk4ks/k\n8mWk9++Psmq6pon0XLlyBV999RXatWvHdCgAAE1NTUyePLna+69cuYKEhAQZRqR4FGmtBmltilYX\ntCIkaVBiY2MxcuRIGBoaws/PT+xV4TQ1NWFlZSWd4CqxsrKCcnQ0tBISwN27V2b1Ep6ioiLcunUL\nCxYskKu279y5MwICAoQmBxwOBydPnsTp06cZiEwx8BfnatKkiVz9XhUF9TSQBiM6OhrDhg1D69at\ncfHiRYVYRlbt+HFw2rVDmYT3sCBfduXKFWRnZ9c4joAJqqqq1S4tDfCmh966dUuGESkWQ0NDqKmp\n4f3790yHopAoaSANQnR0NFxdXWFjY4OzZ8+KtEulLOnq6gpu5Y+pe3tDuQGtvChPfH194ejoCFM5\nmrHC9+2338LGxqba+9esWUPLS1eDxWLB3Nwc7969YzoUhURJA6n3+AlDr169cOzYsWqnrZG6ef36\nNVxdXRXiWvGXZGZm4urVqxg3bhzToQjFYrGwfv36au+PiorCP//8I8OIFIuZmRmSk5OZDkMhUdJA\n6rXKCYM8DiwCADabXeVWMnAgSv7bNEsRGBsb49mzZ9i2bRvTodTZ2bNnoa6ujhEjRjAdSrXs7Ozg\nVMM+JJ6eniguLpZhRIqjefPm1NNQS5Q0kHpLURIGYZSSk6Fy4waKJ05kOhSRaWpq4pdffsH//vc/\nJCUlMR1OnZw8eRIjRoyApqYm06HUaO3atdWuH/H69esGuRupKMzMzChpqCVKGki9FB0djW+//VYh\nEwYAUPX1BVdXFyVytqDTl0yZMgVmZmbYvHkz06HU2osXLxAVFSW3q4OW17Fjxxrj3LJlC3Jzc2UY\nkWJo1qwZDYSsJUoaSL3DTxhsbW0VMmEAlwu1EydQMnYsoGCxq6qqYsWKFTh16hRiY2OZDqdWTp06\nhWbNmsHe3p7pUESyYsUKNGrUSOh9mZmZ2LFjh2wDUgBmZmbIzs6m/TpqgZIGUq/ExsZizJgxsLW1\nxdGjRxUvYQCgcu8elF69QvH33zMdSq2MHj0anTp1qnGgnrzicDg4deoUvvvuOygxvJuoqExNTTFv\n3rxq79+zZw9SUlJkGJH848+I+fDhA8ORKB7F+KsgRATJyckYNWoULCwsFDZhAADVo0dRZmmJsq5d\nmQ6lVpSUlLBq1SpcunQJ9+/fZzocsdy6dQvv37+X21kT1VmwYAH09fWF3ldQUICNGzfKOCL5xl/g\niS5RiI+SBlIvZGZmYsyYMdDT01PMSxL/YeXlQfX8eZQo0ABIYb755hssXbq02jcyeeXr6wtra2t0\n6NCB6VDE0qRJEyxdurTa+0+cOKGwl4ukwdDQEOrq6jTtshYoaSAKr6CgAOPGjUNhYSEuXLggdws3\niUP1wgWwSkpQLGerENbGypUr0aZNG6bDEFl+fj4CAgLg5ubGdCi1Mn36dLRq1UrofWVlZVi7dq1s\nA5JzpqamlDTUAiUNRKEVFxdj2rRpePPmDfz8/GBgYMB0SHWieuwYSoYOBbdpU6ZDaXD8/f1RUlKC\n0aNHMx1KraipqcHDw6Pa+wMDA3Hnzh0ZRiTfTE1NaUxDLVDSQBQWl8uFu7s77ty5A39/f7Ru3Zrp\nkOpE6fVrqNy9i2IFmOpXH50+fRqDBg1SuEsq5Y0aNQrdu3ev9v7Vq1fT8tL/MTc3pzENtUBJA1FY\n69evx/nz53Hs2DFYWFgwHU6dqR0/Dq6xMUoHDmQ6lAbnw4cPCAkJwfjx45kOpU6+tLz0gwcP4O/v\nL8OI5Bf1NNQOJQ1EIR0/fhy7du3C4cOH0bdvX6bDqTsOB6onTqB43DhAhXasl7XTp09DR0cH33zz\nDdOh1FmfPn0wZMiQau9ft24dSkpKZBiRfKL9J2qHkgaicCIiIrBw4UKsWLECw4YNYzociVC5cQNK\nyckKtWx0feLr64vRo0cr7KybytauXVvtOhMJCQk4fPiwbAOSQ+bm5khPT6f9OcRESQNRKMnJyZg4\ncSKcnZ2xaNEipsORGLUTJ1D29dfgtGvHdChSc/r0aRw5coTpMKqIiYlBbGwsvqsHM1b4LCwsarzU\n8scff+DTp08yjEj+mJmZgcvl0iUKMVHSQBRGQUEBJk6cCGNjY/z1119gsVhMhyQRLDYbqv/+W+8H\nQL569Qpr1qyRu107fX190aZNG/Tq1YvpUCRqxYoV1W4Dn56ejt27d8s4IvlCq0LWDiUNRGEsWLAA\niYmJOHnyZLVr7Ssi1bNnwWWxUDJqFNOhSJW7uzuUlZWxc+dOpkMRKCkpwdmzZxV2bYaamJubY86c\nOdXev3v37ga9vLSxsTGUlZVpXIOYKGkgCmH37t04d+4cjh07JlgCtr5QO3YMpS4u4DZpwnQoUtWk\nSRMsWrQI+/btk5tPd9euXUNGRobCLRstqoULF0JPT0/offn5+fj9999lHJH8UFFRgZGRESUNYqKk\ngci9q1evYu3atdiyZQtsbW2ZDkeilJ89g/LDhw1mAOSMGTPQtGlTuXmzOnnyJOzs7NCiRQumQ5EK\nHR2dGpeXPnr0KOLi4gAApaWl+Oeff7B27Vrs3LkTHz9+lFWYjKFVIcVHSQORaykpKZg7dy6mTJmC\nKVOmMBZHeno6vLy8oKurCzc3N5w9e7bC/aGhoVi0aBF0dXWxceNGxMfHi1Su6vHj4LRsiVIHB2mE\nLXc0NDSwbNkyHDt2DK9evWI0luzsbFy+fFnh12b4khkzZlSbFJWWlmLdunW4cuUKDAwMMH36dOzY\nsQNr1qyBlZUVnj9/LuNoZcvc3JySBjGx2Gw2LQ9G5FJZWRlGjhwJNpuN4OBgqKurMxJHeno65s+f\nj8DAwArHly5dipUrV+Ls2bOYMWNGlce9fPkShoaGgp9V7t5FWdeu4Gpp8Q6UlEDbwgJFM2ei6Ndf\npfoc5ElZWRns7e1hYWGBQ4cOyaTOxMREPHv2DP379xe8jg4fPozly5cjLi4OTer5paHTp09j9uzZ\nYj/OxsYGV69elUJE8mHZsmWIiopCUFAQ06EoBBaL5U49DURubd++HZGRkfDx8WEsYQB4vQiBgYFY\nunQpEhMTwWaz8eDBAzx+/BhHjhzBjBkz4OPjAzabDTabDR8fHwDApUuXBGUoxcVBa+hQaJubo9Hc\nuVC5cweqQUFgZWaipJ5/0q1MWVkZa9euRbNmzSosaczlcnH69GncunVL4nUuW7YMbm5uaNu2LZYu\nXYqIiAicPHkSw4cPr/cJAwCMGTMG3bp1E/txkZGRyMnJkUJE8oEuT4iPehqIXIqMjMSQIUPw119/\nMT6y3c3NDYGBgUhMTKywg+a7d+9gaWkp6HHgy8nJEXQH86cXqoSHQ8vJiXeCqipQUgKutja4+vrI\nCwgAp1kzmT0feXT16lWsXr0az549Q5MmTZCUlCTR8t3d3eHr64uysjKoqqqipKQE6urqGDlyJDw8\nPNCsAbR/SEgIXF1dxX5cREQE2tXT9UNOnz6NH3/8EampqdUuhkU+o54GIpcKCwsxZ84cjBw5kvGE\nAYDgskR1W25XHmvxxa25/1vCl5WTA6WkJDTp0gVaI0ZA9fRpoLCw7gErkIiICDg5OWHMmDF48eIF\nAIDD4Ui8nqKiIsG6HvwllIuKinD27Fl06dIFTk5OOHHiBArrafvn5+fjwYMHUFZWFvuxaWlpUohI\nPpibm6OkpKReP0dJo0XuidxZt24dcnNzsWXLFqZDqSAnJ6dCQlDd6ob87lwnfs8C76DwQktLAQAq\nd+5A5dYtlO3Zg08hIRKJV57FxsZi3bp1uHz5MlT+22ujrKwMAJCXl4fU1FQYGxtLtM7S/9q6PH4C\nce/ePYSHh4PD4WBiPZvJcufOHUyfPr3WazJkZGRIOCL5wV/gKTk5GSYmJgxHoxiop4HIlTt37uDA\ngQPYtWtXtfPLZY2/GFFwcLDg2NmzZ7Flyxbs3LkTS5YsEcyWyMnJEay0N3To0M+FfGk74v/eMIvm\nzZNg5PLn/fv3mDt3Luzs7AQD7IS9mct6ZoWysjIsLCwwevRomdYrbZGRkXBzc6vTIk71+VM4f80X\neVk3RBFQTwORG0VFRfj5558xYcKEGnfpk7Vhw4bh559/xowZMyrMkvDx8cHo0aPx7t072NjYVHiM\nk5NThc20WAUFNVeipISixYtRUo/2PxDG1dUVL1++BFD9ZQhlZWXExcXBzs5OYvUW1ND+ysrK0NHR\ngZ+fX71aaRQA9u7dW+eBjJmZmRKKRv5oaGhAX18f79+/ZzoUhUE9DURu/Pnnn8jNzYWnpyfToVRg\naGiIBw8eCBbJcXJygr+/v+BT6cqVK+Hj4yO4HOHp6Yndu3dXmG6JmrYiVlFBiYsLCleskNpzkBc+\nPj7Q09MTXJIQRllZWZBYSEpNOxmyWCycOnWq3q00CvAG69ZVfe5pAGiLbHFRTwORCy9fvsSOHTuw\nZ88e6OjoMB1OFW3btsXKlSsrzJIob/To0TV2bbNKSgAVFcEYBgFVVZRZWKBg716gnmzAVZOuXbvi\n+vXrcHZ2RlpammBMQXklJSWCQZGSIuwSCJ+Xl1eVnqL6omfPnggPD69TGenp6RKKRj6Zmpo26D04\nxEU9DUQuLFmyBH379q1315QFhHWPq6iAq6eHvFOnwK1n3eI1adWqFa5du4ZWrVpBVVW1yv1cLhex\nsbFSj0NJSQk//fSTXMzQkZalS5eibdu2dSqjPg+EBHg9DXR5QnSUNBDGBQYGIjw8HFu3bmU6FOkp\nKwPKzwNnsQBlZeSdPw9uAxy1bWJigqCgIHTt2lXopYrk5OQaLymIq/KYBhUVFQwYMABr1qyRWB3y\nSFtbG4GBgejbt2+ty6jvPQ10eUI8lDQQRpWUlGD16tX44Ycf0LJlS6bDkRpWXl6lAyzkHz6MMgsL\nZgKSA7q6urh48SL69etXZf0ADoeDhIQEidVV/jKIiooKWrZsiUOHDtVq3QJFY2BggHPnzmHRokWC\ntSrE0RCSBuppEB0lDYRRhw4dwsePH7FkyRKmQ5EdFguFq1ejpPyUzAaqUaNG8PX1haura5UV+UTd\n9EsU/JkaSkpKaNSoEc6cOfPlRbjqEWVlZaxevRonTpwQe8xQdna2RHt95I2ZmRkKCwuRlZXFdCgK\ngZIGwpiCggJs27YNy5cvr/f/wFm5uUBxMaCiguIJE1C0YAHTIckNNTU1eHt7Y9q0aYJPwmpqahKf\nQcF3/PhxtG7dWiply7uhQ4fixo0b6NKli1iPq8/TLvmzZugShWho9gRhzKFDh9CoUSNMnjyZ6VC+\nqKCgAPHx8Xj//j1SUlKQkpICNpuNwsJCFBUVoaCgACoqKmjcuDGUlZWhq6sLQ0NDmJiYwMTEBL2T\nkqAOoLRXLxRs387005E7SkpK2LZtGwwNDfHbb7+huLi4QtJQ1/aPiooCAGzevLlO1/frg9atWyMo\nKAiLFi2Cr6+vSI9JTExERkZGrdu/TZs2FacgyxEzMzOwWCwkJyejc+fOTIcj9yhpIIwoKCjAzp07\nsWrVKqEj6JlUVFSEqKgohIWF4eHDh3j+/Dnevn0r6OLW1dWFiYkJdHR00KhRI6ipqUFTUxP5+fnI\nyMhAaWkpsrOzkZ6ejrS0NHA4HPwBYCmA0VwuzNesgb29PXr37g19fX1Gn6u8WbZsGZo0aYKVK1fi\nxIkTYLPZEml/gDeW4d9//8WbN28afPs3atQIe/fuRc+ePbF8+XIUFRXVeL6Tk5NgR9Latr++vj46\nd+6Mzp07y1X7a2trQ0NDA6mpqUyHohBol0vCiN27d8PHxwcPHjyocaEfWXn37h0uXryIS5cu4f79\n+ygsLES7du1gZWWFTp06oVOnTmjfvj3Mzc2hoaEhcrmlpaXIyMhAfHw8YmNj8ezZMzx58gQPHz5E\naWkpOnTogG+++QbOzs6wsbGp1UC1+kBY+xsYGKB///7U/lIWFRWF77//vsallFesWIHRo0fX2/bv\n0aMH3NzcBAu4EeFYLJY7JQ1E5kpKStClSxcsXLgQP/zwA2Nx5OTk4PTp0zh27BhiYmLQtGlTDB06\nFAMGDICdnZ1UN7ApKCjA/fv3ERoaikuXLuH58+cwNTXF6NGjMXXq1DrPrVcE1P7Mqtz+KioqQhfb\natSoEeLi4tCkSROJ1S1v7T9s2DB07txZ7jbJkzeUNBBGnDt3DgsWLMCzZ8+gpaUl8/rj4+Oxe/du\n+Pn5AQDGjBmDMWPGwM7OjrEpePHx8bhw4QL+/vtvJCYmom/fvpg3bx6++eYbRuKRJmp/ZlXX/ra2\nttiyZQv+/PNPwQqaKioq2L9/v9QXXWO6/adNm4bS0lIcPXpUJvUpKkoaCCMGDx6Mr7/+WuZ7TLx8\n+RLbtm3DmTNn0Lp1a/zwww8YN26cRD9B1RWHw8H169dx8OBBXLlyBVZWVvj1118rbrOtoKj9mSVq\n+7958wYBAQEAABcXF5mun8JU+y9fvhwRERGCnVeJcJQ0EJmLjIzEoEGDEBkZKbNpb3l5efjjjz+w\nZ88etG7dGkuWLMHo0aOrrAsgb2JiYvD777/j8uXL6Nu3L7Zu3Yp27doxHZbYqP2ZRe3/ZTt37oS3\ntzeePHkilfLrCxaL5S7frxpS7/j6+sLOzk5mCcO1a9fw9ddf4/Dhw/jtt99w9+5djB07Vu7/YQJA\nt27dcOLECVy5cgVZWVmwt7fH5s2ba9x8Sd5Q+zOL2l80xsbG9X43T0mR/1cOqTeKi4vxzz//yGSD\noJKSEqxatQpjxoxB79698eDBA8yYMUMh/llW1qtXL1y/fh3r16/Hrl274OzsLJEtj6WJ2p9Z1P7i\nMTExQXFxcb3fnEsSFO8VRBTW1atXkZ+fD1dXV6nWk5WVBWdnZxw6dAh79+6Ft7e33C4sIyoVFRXM\nmTMHN27cQHZ2Nvr27VvnLY+lhdqfWdT+4uPP1KHehi+jpIHIzLlz5zBw4ECpDnxLSkqCk5MT0tPT\nERoaWu+2Pe7YsSNu3LiBAQMGwNXVVTBgTV5Q+zOL2r92jIyMAIAWeBIBJQ1EJsrKynD16lWpTqFK\nTk7GsGHDoKWlhStXrqBNmzZSq4tJGhoa8Pb2xqxZszB16lRcvnyZ6ZAAUPszjdq/9po2bQp1dfUa\nF7giPMwvxUcahIiICLDZbAwZMkQq5efk5GDMmDEwNjaGv78/NDU1pVKPvGCxWNiwYQM0NTUxbdo0\nnD59mtE9Faj9qf1lSRrtb2xsTD0NIqCkgcjElStX0KVLF6ms8sflcjF79mxwOBycPHmy3v/DLG/5\n8uXIyMjA1KlTcefOHamuolgdan9qf6ZIsv0paRANXZ4gMhEeHg47OzuplO3t7Y3bt2/j9OnTMDAw\nkEod8uyPP/6ApaWl4I1D1qj9qf2ZJKn2NzExocsTIqCkgUhdaWkpoqOj0b17d4mX/e7dO6xZswZ/\n/vknWrRoIfHyFYGysjIOHDiAJ0+e4PDhwzKtW97aX1dXF7q6ujKtsz63v7jtqcjtb2JiUqGnIT4+\nHm5uboLntGjRIqSnp4t8v6jevXuHI0eOCMpxc3ODl5dXtQtNhYaGYuPGjYLzN27ciNDQUPGfcC1R\n0kCk7vnz5ygoKECPHj0kXvb69evh6OiIsWPHSrxsRWJiYoKNGzdi8+bNyM3NlVm91P481P7MkkT7\nm5iYVJhy2bZtW5w8eVLw859//llh6mr5+z09PavcL4p3797B0tISjRs3BpvNBpvNxoEDBxAWFoaQ\nkJAq52/cuBHnz5/HuHHjBOd/++232LNnT62TFnFR0kCkLjo6Gk2aNJH4aO6YmBicO3cOa9eulWi5\nimrcuHEwMTHBrl27ZFIftX9F1P7Mqmv7m5iYIDk5WcJR1ezatWsAUGFDMG1tbYwdOxZdu3atcK6X\nlxceP36MtWvXVtgF1NLSErt378ahQ4dw4MABqcdMSQORutevX+Orr74Ci8WSaLl79uzBwIED0aFD\nB4mWq6iUlJQwd+5cHDx4EIWFhVKvj9q/Imp/ZtW1/U1MTFBYWIicnBwpRCdcdb0iHTp0QNOmTQU/\nx8fHw8PDA1OnToW2tnaV8w0NDeHj44MtW7ZIff8MShqI1L19+1biO+Xl5OTA398fkyZNkmi5whw5\ncgSLFi2qcO2yumuI4pwrDa6urigpKcHFixelWo+8tn95Z8+eFVxz9vLykknXbX1sfz5x21PR2t/Y\n2BiAbBd44i90FxERUeG4paUlLC0tBT/fvn1bcLw6X3/9NQDepoDSREkDkbrExESJJw1BQUEAeNts\nS9vPP/+MQ4cOCX4+dOgQXFxchL5xiXOuNGhqauKbb77BhQsXpFqPvLY/n5ubG2bMmIHAwEAAgIeH\nB+bPny/1T5H1sf0B8dtTEdufnzTIcgbFwIEDAfB+j0eOHKm2fWJiYgBAaC8DX7NmzQBA6ouNUdJA\npC4lJUXia9/fu3cP3bt3h5qamkTLFYY/4Ih/8/f3BwCcP3++TudKS8+ePXH//n2p1iGv7c/n4OCA\nly9fgs1mIzExEUuXLkVgYCDu3Lkj9XjrW/sD4renIra/gYEBVFVVq+1p4Pd0Vb7VRbNmzRAWFgYn\nJyf8/PPPmD17ttBkmJ8015Q08PETNWmhpIFIXX5+vsT3m3j48CGsra0lWqao+CvPlf/0K4lzJcXG\nxgapqalISkqSWh3y3v7u7u6CRFVbWxvjxo0DIP2uW6B+tr+47amI7c9isWBoaFjtplWVk1f+ra4s\nLS1x4MAB+Pj4IDAwEC4uLti4caNMx1aIg5IGInX5+fnQ0tKSaJnv37+HqampRMusTk5ODgIDA+Hl\n5SW4ti6Jc6WFvyqeNK/Nymv7V4c/2nzLli0Sjq6q+tb+wojbnorS/pKcQSFOj4S2tjZGjx4t6JXZ\nsmULdu/eLbh/+vTpACDSuBAnJ6cvxlUXtIw0kbqCggKoqqpKtMysrCzo6elJtExh4uPjYWNjI/Fz\npYm/KmBGRobU6pDH9pcX9an9FVFd2r/yWg21paurW6UXQtixyrS1tbFy5UpkZmZiy5YtmD17NgwN\nDdGtWzcAQHZ2drWXet+9ewcAGDp0aJ3jrwn1NBCpU1NTQ1lZGdNh1MqpU6cAADt37sSTJ09q7JIU\n51wiGmpTIkuy3n8iNDRUaO+Bq6srAKCoqAgAYG9vD+DzgEhh+FMta1pETxI9n5Q0EKnT0tKS+Cp5\nTZs2RVZWlkTLFIbfnTplyhTB6GRJnCtN/E9Y0tyHQB7bvyb8f6g7d+6USFw1qU/tXx1x21NR2t/Y\n2FgisydETWwfPXokdJzHrVu34OTkJHjNt23bFp6enpgxY4agR6G8nJwcHD58GEuXLq12WqYoPR2i\noKSBSJ2Wlhby8vIkWqaZmZlMpkbxrw/Gx8cD+Hx9va7nSlNKSgoASHXHRXls//LKL3Dz7t07eHp6\nAqj5U5ik1Kf25xO3PRW1/U1NTWW+02VQUJBg0GNOTg7Onj2LLVu2wMPDo8J57u7uWLp0KZYsWVJh\nXYd3795h7dq1MDMzw+zZs4XWIamEAaAxDUQG9PX18fHjR4mW2b17d0RFRUm0TGGmTp2KwMDACtfV\nqxtoJM650vTgwQMYGxtLtbdDHtu/PAcHhyrHPD09a1wcR1LqU/vzidueitr+xsbGyMnJQWFhId69\ne1fhjdvNzQ27d+8WjCl48uSJ4Hl6eHggISEBy5cvFzrmoLo3bUdHRwCosNkY/1KcsPhXrlyJ0NBQ\nBAUFCdboWLp0KVxdXQWziqSNehqI1LVp0wYJCQkSLdPW1hZRUVGCa37S4uTkVGHTGh8fn2rXdxfn\nXGmKiIgQrA4nLfLY/uX5+/sLRpw7OTnB398f7u7uUouzvPrU/nzitqeitj9/gafk5GTBhlT8cTQn\nT56skBBYWlpWmHpZmw2rLC0t4e7uXqGcL12K69u3L1auXCk4f+XKlTUmDJLsZQAAFpvN5kqsNEKE\n8PT0xOXLlwVLoUpCbm4u2rdvD29vbzg7O0usXEWXl5eHDh06YOfOnRU2wZE0an/hqP2ZVdf2T0lJ\nQceOHREYGAhbW1uJxCTpN21x666JuHGxWCx36mkgUte2bVskJCSAw+FIrMwmTZrg22+/xdGjRyVW\nZn1w/vx5qKmpSf2NhNpfOGp/ZtW1/Q0MDKCkpCSxcQ3lEwYm1mypbjGqusxCoqSBSF2PHj1QUFCA\nZ8+eSbTcefPm4caNG4iNjZVouYqKw+Fgz549mDVrFtTV1aVeH7V/RdT+zJJE+6uoqMDAwEAig0yZ\n7GGQJkoaiNS1a9cOJiYmCAsLk2i5Xbt2xahRo7BmzRqJlquoTp06hbS0NMyfP18m9VH7V0TtzyxJ\ntb+JiYlEehoqJwzykkDUNQ5KGohM9OnTRyo7PXp4eCA0NBSnT5+WeNmK5MOHD1i5ciWWL1+Oxo0b\ny6xean8ean9mSbL9Zb3Ak6KhpIHIxIABAxAWFibx0d7NmjXDhg0bsHjxYrx580aiZSuKsrIyzJo1\nC126dMHUqVNlWje1P7U/0yTd/pJa4Km+oqSByISzszNKSkoQFBQk8bJnzJgBBwcHjBkzRqrr/cur\nX375Bc+fP8f+/fuhpCT7P2lqf2p/Jkm6/ZlY4EmRUNJAZKJJkyYYOnSoYC8BSWKxWNi/fz/U1NTg\n5uYm8dUn5dn69etx4sQJHD16VKorENaE2p/anynSaH8jIyNKGmpASQORme+++w7BwcES2UWuMm1t\nbfj5+SEzMxPOzs5SqUOecLlcrFixAjt37sShQ4dgZ2fHaDzU/tT+siTN9jcxMUFmZqbMFs5SNJQ0\nEJkZOHAgDA0NsWfPHqmUb2ZmhoCAABQUFGDIkCGIi4uTSj1MKygowPTp03Ho0CH8/fffUt8KV1TU\n/syi9pcMfo8F9TYIR0kDkRlVVVX89NNPOHjwILKzs6VSR7NmzRAYGAhTU1P0798fvr6+UqmHKc+f\nP8eAAQNw8+ZNXLhwAcOHD2c6pAqo/ZlF7V93/KWkKWkQjpIGIlOTJ0+GpqYm9u3bJ7U6dHV14e/v\nj5kzZ2LevHmYOXOmwv8DKC0txb59+zBgwADo6uoiNDRU6vsb1Ba1P7NYLBa6d+8OZWVlav9a4CcN\n/N0ySUWUNBCZ0tDQwLx587Br1y6pTmtSVVXFunXrcPbsWYSHh6NXr144cOAASktLpVantISHh8PR\n0RGrV6/GggULEBAQINUdFCWB2l/2SktLcfDgQVhbW+PUqVNYvXo1Tp8+Te0vJnV1dTRt2pSShmpQ\n0kBkbu7cuTAxMcHKlSulXteAAQNw//59TJ8+HR4eHujduzdOnTqFsrIyqdddVw8fPoSbmxuGDh0K\nIyMj3L17F7/++itUVBRnR3tqf9m4evUqHBwcsGLFCowfPx5RUVGYOXMmBg8eTO1fC0ZGRvV+MGlt\nUdJAZE5dXR2///47/vnnH9y8eVPq9WlqamLNmjW4d+8ebGxs8OOPPwo+eeXk5Ei9fnFwOBxcuXIF\nY8eOxYABA5CRkYFTp07hn3/+QZs2bZgOr1ao/aUnNjYWY8aMwZgxY9C2bVuEh4fD09MTOjo6gnOo\n/cVnYmJCCzxVg7bGJoyZNGkSnj59itDQUJkuvZuQkIDdu3fj9OnT4HA4GDVqFMaOHQsHBwfGPkW+\nePEC58+fx7Fjx/D+/Xs4Ojpizpw5GDJkCCPxSBO1f91lZmZi8+bNOHz4MCwsLLBp0yY4ODiI9Fhq\n/y+bM2cOMjMzcebMGUbql1csFsudkgbCmJSUFPTp0wf9+/fHgQMHZF7/p0+fcObMGZw4cQIPHjyA\nnp4ehg4dCkdHR/Tp00eqi/Xk5+fj3r17CAsLw8WLF/HixQs0a9YMY8aMwZQpU9CqVSup1S0vqP3F\nV1hYiL/++gu7du1Co0aN4OHhgQkTJtRqJURq/+qtWbMGN27ckMp+OYqMkgbCuGvXrmHMmDHYtWsX\nJk2axFgcycnJCAgIwKVLl3Dv3j0UFhaidevWsLKygoWFBTp16oT27dvD3NwcmpqaIpdbUlKC9PR0\nxMfH4/nz53j+/DkeP36MmJgYlJWVoVOnThgyZAhcXFzQvXt3sFgsKT5L+UXtXzMul4uzZ89i7dq1\nyMjIgLu7OxYuXAgtLS2JlC/L9o+JicGjR4/A4XDktv337t2L7du319u1LmqLkgYiF9auXYv9+/fj\n2rVrsLCwYDocFBcXIyoqCnfu3EF0dDSePn2KN2/eCAaPNW7cGObm5mjSpAkaN24MVVVVaGlpoaio\nCAUFBSgqKkJubi7S09ORlpYGLpf3J2ZkZAQLCwt07twZ9vb2sLW1RdOmTZl8qnKJ2r+iiIgIrFix\nApGRkZgwYQI8PDyk2gsg7fYvLi5GdHQ0bt++zXiPQnUuXLiAadOmIS0tTS4HvjKFkgYiF0pLSzFq\n1CjEx8fj2rVrMDU1ZTqkKgoLC/Hq1Su8e/cOqampSE5ORm5uLvLy8lBcXIz8/HzBP081NTVoa2vD\n0NAQ5ubmMDQ0RLt27RTiDUpeNcT2f/fuHdauXYuzZ8/C3t4emzZtQteuXRmJRZLtn5ubCysrK0ye\nPBlr1qxh5Pl8SXh4OJycnBAbG8vYniLyiJIGIjc+fvyIQYMGoWnTpggICECjRo2YDokQRuTl5WH7\n9u3w8vKCmZkZ1q9fD2dnZ6bDkigvLy9s3LgRMTExMDIyYjqcKhISEmBtbY0bN26ge/fuTIcjN1gs\nljtNuSRyoWnTpvDz88ObN28wffp0hZhHTogkcTgcHDt2DD169IC3tzc8PDwQHh5e7xIGAJg5cyZ0\ndXWxdetWpkMRyszMDAAtJS0MJQ1EbrRu3RonT55ESEgIli1bxnQ4hMhMWFgYHB0dsWDBAjg7OyMq\nKgru7u5QU1NjOjSp0NDQwC+//IIjR44gKSmJ6XCq0NDQgLa2NiUNQlDSQOSKjY0Ndu3ahYMHD8LH\nx4fpcAiRqri4OEycOBHOzs4wMjJCWFgYtm7dCn19faZDk7qJEyfCzMwMv/32G9OhCGVsbEwLPAlB\nSQORO2PHjsXq1avxyy+/4PLly0yHQ4jEZWZmYsmSJbCzs0N8fDz8/Pzg5+eHjh07Mh2azKiqqmLZ\nsmU4deqUXE5tNDU1pZ4GIShpIHJp4cKFmDp1KqZPn47IyEimwyFEIoqLi+Hl5QVra2tcvHgRf/zx\nB8LCwjBo0CCmQ2PE2LFj0a5dO2zevJnpUKowNjampEEIShqI3Nq8eTO+/vprjBs3Ti4/iRAijosX\nL8LW1haenp6YNWsWIiMjMX369Aa9DoCSkhI8PDxw/vx5PHr0iOlwKjAyMqKdLoWgpIHILTU1Nfj6\n+qJt27ZwdXXFmzdvmA6JELE9evQIzs7OmDRpEqytrfHgwQN4eHhIbDVHRTds2DBYW1vD09OT6VAq\noMsTwlHSQORao0aNcPr0aRgaGmLUqFFITk5mOiRCRJKSkgJ3d3c4OjqiqKgIQUFBOHjwIJo1a8Z0\naHKFxWLBw8MDQUFBCA8PZzocAQMDA6SnpzMdhtyhpIHIPW1tbZw9exZqampwdXWlLkMi1woLC7F1\n61b06NEDISEhOHDgAIKCgtCzZ0+mQ5Nb/fv3h4ODAzZs2MB0KALGxsYoLi5GVlYW06HIFUoaiEIw\nMDDAhQsXwGKx4OzsTFOhiNzhcrnw8/ODjY0Ntm/fjoULF+LBgwcYM2aM3GzEJM9Wr16N27dv4+rV\nq0yHAgCClSqpt6EiShqIwjA2NsbFixehqqqK4cOH4/3790yHRAgA3uJMAwYMwOzZs+Ho6IjIyEgs\nWbIEGhoaTIemMHr16gUnJyds3LhRsMkVk/hJA/VsVkRJA1EohoaGCAgIgKamJoYNG4aEhASmQyIN\nWEJCgmBxpsaNGyMkJAReXl60yVEteXh4ICYmBgEBAUyHAn19fSgrK1NPQyWUNBCFY2BggICAABga\nGmLo0KF4/Pgx0yGRBiY7OxseHh6wtbUVLM4UEBDA2C6U9YWlpSVcXV2xadMmxvefUVJSgoGBAdLS\n0hiNQ95Q0kAUkp6eHvz9/WFpaYnhw4fj9u3bTIdEGoDS0lIcPHgQ1tbW8PX1xaZNmxr04kzSsHLl\nSsTHx+PMmTNMhwJjY2NKGiqhpIEoLE1NTfj6+mLIkCEYPXo0zp07x3RIpB67evUqHBwcsGLFCowf\nPx5RUVGYOXNmg16cSRratGmD8ePHY/PmzSguLmY0FuppqIqSBqLQ1NTUcODAAcyePRvTp0/Hn3/+\nyXRIpJ6JjY3FmDFjMGbMGLRt2xbh4eHw9PSEjo4O06HVW8uWLUNKSgqOHj3KaBwmJia0wFMllDQQ\nhaekpIT169dj586d2Lx5M+bNm4eioiKmwyIKjr+plIODA9LS0nDx4kUcO3YMrVu3Zjq0es/c3BzT\npk3Dli1bUFhYyFgchoaGyMjIYKx+eURJA6k3Jk+eDD8/P1y6dAnDhw+n1SNJrRQWFmLnzp2CTaV2\n7NiBkJAQODg4MB1ag7J48WLk5OTgwIEDjMVgbGxMUy4roaSB1Cv9+vXD9evXkZ+fj379+tEASSKy\n8oszbd68WbCp1MSJE6GkRP8qZc3Q0BDz5s3D9u3bkZuby1gMGRkZcrFuhLygvwRS77Ru3RrBwcHo\n06cPvv32W2zfvh0cDofpsIgci4iIwJAhQwSLM9GmUvJh/vz54HK58PLyYqR+IyMjlJaWIjMzk5H6\n5RElDaRe0tLSwqFDh7B+/Xr89ttvGD16NA1oIlW8e/cOM2fOxJAhQ6Curi5YnIk2lZIPOjo6+Omn\nn/DXX38x8sZtbGwMgJaSLo+SBlKvzZs3D1euXEFiYiL69OmDK1euMB0SkQN5eXnw9PSEjY0NoqKi\ncPToUVy8eJEWZ5JDc+bMgaamJiMzowwMDACAPnCUQ0kDqfesrKxw8+ZNDBgwAOPGjcO8efOQk5PD\ndFiEARwOB8eOHUOPHj3g7e0NDw8PhIeHw9nZmenQSDU0NTWxePFi+Pj4yHyjOgMDA6iqqtJaDeVQ\n0kAahMaNG2Pfvn3w9fXF1atXYWtrS70ODUxYWBgcHR2xYMECODs7IyoqCu7u7lBTU2M6NPIFU6dO\nhaGhIX7//XeZ121gYECXJ8qhpIE0KEOHDsW9e/dgZ2eHcePGYcqUKbTNdj1XflMpIyMjhIWFYevW\nrdDX12c6NCIidXV1/Prrrzh+/Dhev34t07pp2mVFlDSQBkdPTw8HDx7E2bNn8ejRI/Ts2RNeXl6M\nL1lLJIu/OFOvXr0Em0r5+fmhY8eOTIdGasHNzQ2tWrXC5s2bZVqvkZERLfBUDiUNpMEaOHAg7t69\nix9//FEwKO7UqVM0PVPBFRcXw8vLC9bW1ggICMBvv/1Gm0rVAyoqKli2bBn8/Pzw/PlzmdVrZGRE\nPQ3lUNJAGjQNDQ0sX74ckZGR6Nu3L3788Uf07dsXQUFBTIdGauHixYuwtbWFp6cnZs2aRZtK1TMj\nR46EpaUlPD09ZVansbExjWkoh5IGQsBb697LywthYWFo2bIlvvvuOwwfPhwRERFMh0ZE8OjRIzg7\nO2PSpEmwtramxZnqKRaLhZUrV+LSpUt48OCBTOo0NDSk2RPlUNJASDkdO3bE8ePHERwcDC6Xi8GD\nB+Pbb79FYGAgXbaQQykpKXB3d4ejoyOKiooQFBSEgwcP0uJM9dg333yDr7/+Ghs3bpRJfcbGxsjM\nzERZWZlM6pN3lDQQIkTPnj1x6dIl/PPPP1BTU8P48eNhY2ODffv24dOnT0yH1+AVFhZi69at6NGj\nB0JCQnDgwAEEBQWhZ8+eTIdGZGDVqlW4ceMGbt26JfW6DA0NUVZWRktJ/4fFZrNpJw5CvuDly5fY\nv38/Tpw4AWVlZUyePBkzZsygbZJljMvl4uzZs1i7di2ysrKwcOFCuLu7Q0NDg+nQiIyNHj0aubm5\nUh9/9PLlS/Ts2RO3bt1Cly5dpFqXvGOxWO7U00CICNq1a4etW7fi+fPnWLp0KS5cuABra2sMHDgQ\ne/bsobUeZCAsLAyDBw8WbCoVGRmJJUuWUMLQQHl4eCAiIgKBgYFSrcfQ0BAAaNrlf6ingZBaKCsr\nw61bt+Dn54eAgADk5ubCzs4Oo0aNgqurK5o2bcp0iPVGQkICVq9ejYsXL8LBwQGbNm0SukdEbm4u\nsrOzBTc2m42cnBwUFhYiNzcXxcXFyM3NRWFhIQoLC5GTkyMYp1JaWlrjZSctLS2oqqoC4K0uyp+N\noaOjA11dXejo6Ahu5X/W09MTPI5I3sSJE/HmzRuEhoZKdftyY2Nj7NixA+PHj5daHYqAxWK5U9JA\nSB0VFRXh+vXr8PPzw+XLl1FcXAwbGxv069cP/fr1g42NDS1VLKbi4mIkJCRg27ZtOHfuHAwNDTFo\n0CDo6uoiMzOzwo2fIJQfqKqlpQUdHR1oaWlBS0sLmpqaUFNTg66uLtTV1dGoUaMKb/58ysrKaNKk\nSYU48vPzAUCQbJT/Pjc3F2w2u0KiUlJSIni8kpISjIyMYGpqChMTEzRv3hwmJiYwMzODmZkZzM3N\n0bJlS5oSWkuxsbGws7ODt7c3Ro8eLbV6unTpglmzZuGnn36SWh2KgJIGQiQsPz8fV69exY0bNxAa\nGopXr15BU1MTdnZ26NevH+zt7WFhYdFgu9Rzc3Px4cMHpKenIzk5GRkZGfjw4QPS0tKQmpqKlJQU\npKWlVRh01rhxY5ibm0NfXx+GhoYwNDSEvr6+4Na0adMqn/SZfBPOz88XJBAfPnxAamoqkpKSkJKS\nguTkZCQnJwueJwCoqamhVatWaN++Pdq1a4f27dsLvi+fwBDh5syZg4iICNy7d09qv/cBAwagd+/e\nMpuxIa8oaSBEyt69e4ebN28iJCQEoaGhSE1NhYqKCjp27IguXbqga9eugq/a2tpMh1srxcXFgjf/\n9PR0wZt/RkYGUlJSkJ6ejg8fPiA5OVnwKVxDQwOGhoYwMzODgYGB4CubzUZAQABSU1MxceJEeHh4\n1Ns9IoqKipCYmIgXL17g5cuXiIuLE3zl78JqamqKLl26wNraGtbW1ujevbvgGjvhefv2LWxsbLBt\n2zZMnjxZKnWMHz8eTZo0wYEDB6RSvqKgpIEQGUtKSkJMTAweP36MR48e4fHjx3j37h0AwMTEBC1a\ntKhwa9myJZo1awYDAwPo6enJJMbi4mJ8/PgRbDYbWVlZ+Pjxo+ArPxngJwhpaWn4+PEjAN7CO/xe\nABMTExgbG8PQ0BAmJiY4f/48IiIiMHPmTKxatQo6OjoV6oyNjYWHhweuXr0KZ2dnrF+/vkHPTElN\nTUVcXBxiY2Px8OFDREVFIS4uDhwOBy1atECPHj0EiYSVlVWDX8Rq8eLFCAwMRGRkpFR68X766Se8\nffsWFy5ckHjZioSSBkLkQEZGBp4+fYq3b98iMTFRcHvz5g1SU1PB5X7+E9XT0xPcdHV10aRJE6io\nqKBx48YAeNfQK/dYcDgcwSdX4POgv7y8POTl5SE/Px9sNhv5+fmCY3waGhpo2rSpoE5DQ0MYGxtD\nX19f0DvATxAMDAyEdg+vW7cOO3bsAJfLhbq6OqKjo2FqagqAt6nU5s2bcfjwYVhYWGDTpk1wcHCQ\naPvWF58+fUJ0dDSioqIQGRmJqKgoJCUlQUVFBT169ICjo2ODHUOTkpICKysrrF27FnPmzJF4+Zs2\nbUJAQADu3r0r8bIVCSUNhMi5oqIipKWlISsrC1lZWWCz2YJP/jk5OWCz2YJzy88GyMvLq/Dpk8Vi\nCT7d878vP0hQR0cHmpqaaNy4MXR1dQWJQl0/tfn4+GDx4sWCn1VVVTF69Gjs2LEDBw8exJYtW9Co\nUSN4eHhgwoQJUh0BXx+lpaUhPDwcISEhuHnzJl69egUtLS3Y29ujX79+cHR0hIWFBVgsFtOhSt3q\n1avh6+uLmJgYaGpqSrTsAwcO4I8//kB8fLxEy1U0lDQQQqQmNDQUrq6uVZbfZrFYMDExQVZWFtzd\n3bFw4cIG370uKUlJSYIE4ubNm0hPT4eRkREGDBgAFxcXDBgwoN4Owv348SO6deuGn3/+GUuWLJFo\n2f7+/pgyZQrS0tIa9BRaShoIIVLx7NkzDBo0CIWFhVWSBhUVFbRo0QL+/v60R4QUcblcPH36FDdu\n3MClS5dw7949aGpqYsiQIXBxccGQIUMk/omcab///jv27NmDmJgY6OrqSqzcu3fvYujQoYiNjYWJ\niYnEylU0tCIkIUTikpOT4erqiuLiYqGbfJWWliIhIQEPHz5kILqGg8ViwdLSEvPnz8fly5fx/Plz\nrF+/Hh8/fsTMmTPRunVrfP/99zh16hRyc3OZDlci5s2bBxUVFezcuVOi5RoZGQHgjZ1o6ChpIIRI\nTE5ODlxdXZGVlYXS0tJqz1NSUsKKFStQVFQkw+gaNmNjY0yfPh3nz59HXFwctmzZguLiYsyfPx9t\n27bFhAkTcOXKFYXezbFJkyZYuHAh9u/fL9HtrI2NjQEA6enpEitTUVHSQAiRiOLiYri5ueH169cV\nVkUUhsPhICkpCfv27ZNRdKS8pk2bYtKkSThz5gxevnyJnTt3Ii8vD25ubujcuTM8PT3x+vVrpsOs\nlZkzZ0JHRwdbt26VWJmNGzeGhoaGRBMRRUVJAyGkzrhcLubNm4f79+/XmDCoqKhUGEgWGxsri/BI\nDXR0dODm5oYLFy4gKioKkyZNwrFjx2BtbQ0XFxecPn1asHy2ItDQ0MDSpUtx5MgRJCUlSaxcExMT\nShpAG1YRQiRg7dq12LFjh+BnFosFVVVVlJSUgMvlQlVVFW3btoWVlRU6d+4suPGvFRP5UlZWhmvX\nruHw4cMIDg5G48aNMXbsWEydOhUWFhZMh/dFJSUl6NWrF+zs7PDXX39JpMzBgwfDxsYGmzdvlkh5\nikhisycyMzNx69YtPHnyBCkpKTXuFkcIqV9SU1MrLHqjoaFRYS8IbW1tNG7cuEGsFSBr6urq0NPT\nQ6dOndC7d2+0b99e4nWkpaXhxIkTOH78OOLj4zFgwADMnz8fjo6OEq9Lkk6ePAl3d3fcuXNHIu0y\nceJEqKmp4dChQxKITjHVKWkoLS3FP//8gyNHvBEeHgklJcDCQhUmJqXQ1lbcgTSVJSYC9+4BY8cy\nHQlRBA3x9VJcDLx4AZiaAjo6QF2msTfE9quLwkIlfPyogqdPOWCzS9GypRkmTJiC6dOnS3yPCi6X\ni6CgIHh5eeHWrVvo0qUL3N3dMWrUKLlcu4DD4cDe3h4dO3bE//73vzqXt3DhQrx69Qr+/v4SiE4x\n1TppCAsLwy+/LMTLl68wahQwZQoH/fsD9XHNkBMngO+/B7h0EYeIgF4vdUPtV3sPHwJnzgA+Pqoo\nKlLD0qXLMXv2bKksKR0dHY3du3fjwoULMDY2xpw5czB16lS525Xz4sWLmDRpEm7evImuXbvWqazf\nfvsN//zzD+7fvy+h6BSP2Os05OfnY+bMaXB2dsZXXyXg2TMOTp7kYOjQ+pkwEEKIoujeHdi0CXj9\nugTu7nnYuHEN+vSxxbNnzyRel5WVFXx8fPDw4UO4uLjg999/R9euXbF9+/YKe5cwbfjw4bC2toan\np2edyzIyMqIplxBj9sSHDx8wbNhghIVdxKVLwL//lqFtW2mGRgghRFyamoCnJ/DsWRmaNUvEkCED\nERwcLJW6mjdvjs2bN+PJkyeYPXs2tm3bBisrK+zdu1cuZlywWCx4eHggKCgI4eHhdSrL0NAQWVlZ\nKC4ullB0ikmkpCEhIQEDBvRBWVkc7t0rwdCh0g6LEEJIXXz1FRAYWIqJEwvh5jYOf//9t9Tq0tXV\nxfLlyxETE4MJEyZg/fr16N69O3x8fBh/k+3fvz8cHBywYcOGOpVDCzzxfDFpyMnJwXffuaJjRzZu\n3y5BixayCIsQQkhdqagAe/dysXkzB0uWLERoaKhU69PX18e6desQHR2Nb7/9FitWrICNjQ1OnDgh\ndElxWVm9ejVu376Na9eu1boM/sDS1NRUSYWlkGpMGkpLSzFx4jg0apSCc+dKIWdjXAghhIhg6VJg\n/nwOJk50k8n2zsbGxvjtt98QFRWFAQMG4KeffoKjoyPCwsKkXrcwvXr1gpOTEzZu3FjrMvgbVTX0\nBZ5qTBoOHjyI588f4MKFYujoyCokQgghkvb771w4Ohbjp59mgyuj6Snm5ubYsWMHwsLCYGRkBGdn\nZ0ycOBEJCQkyqb+8X375BVFRUbC2tkZkZKTYj2/UqBG0tLSQkJCAZ8+eISQkBKdPn66wqFlDUG3S\nkJGRgc2b12PPnhK0aiXLkAghhEiasjJw6FApXrx4Aj8/P5nW3bFjR/j5+cHPzw/x8fGwtbWFh4cH\nsrOzZRoHALx58waDBg3C9OnTa0xekpOT4ebmBmdnZ9jY2KBVq1bIz8/HihUrYGdnB1dXV8yePRtr\n165Ffn6+DJ8Bs6pNGjZuXIfu3cswZowswyHSxGJVva1aBVTX2xYezruff663t/Bz+fcDwMmTgIsL\n7+dt26qe7+3Nu+/kyYrHT578XAchRDr09YENG4qxfv0KFBQUyLz+QYMGISwsDJs2bYKvry+sra1x\n9OjRL/Z8SGKV4eTkZAC8RZ+4XC4CAgLQq1cvLF++HJmZmVXOj4iIQGBgIMLCwhAfH4+srCyhcbZq\n1Qqampp1jk9RCE0akpKS8Pffx7F5M21bW995egJr1lQ9fvIk0Ls3736+2bOBmTOB6j4cuLgA48cD\nAQG8n5csqXr+rFnAiBG88/jHs7N5P48YwbufECI9s2cDLFY2Y8shq6ioYObMmYiKisLYsWOxcOFC\nDB06tNr1JI4dO4ZmzZrh3Llzdao3OTm5wsqVJSUlKC0thbe3N7p27YodO3ZUmCY6fPhwwTiG6qiq\nqmLgwIF1ikvRCE0a/v77b1hYqMLWVtbhEFngcnk3/iDgyrsTx8Tw3sQ9PHjn8M/39eUlBJcvCy+3\nXz/g7VveuWw27/EBAUDlAdv8mU8HD/K+8suT4E62hJBqKCsDM2YU4/Dh/YzGoaOjg99++w3Xr19H\nSUkJ+vbti9WrV1dYHCo5ORm//vorAODHH3+s01iIlJQUKClVfcsrLS1FXl4eNmzYACsrK9y+fRsA\nL7lxd3eHsrJytWWWlpaiT58+tY5JEQlNGi5dOgdXV+plaCh8fSv+zF8ldckSoPwmhG5uvK83bwov\nZ/FiCKbk6ugAkyZVLI+vWzdegrBkyecE5cABQAp77RBChBg5Enj5MhFxcXFMh4KuXbsiODgYW7Zs\nwZEjR/D111/j33//BZfLhbu7O4qKeO9FxcXFmDRpkuBncSUnJ9e4bXtZWRlSUlJw7NgxwbFp06ZB\n4wvLHTs4ONQqHkVVJWlgs9l4+jQeDSx5alD4YxCMjXmXBCov1jV7Nu+rrm7VMRBA1Z6J6vCTAGEr\nuM6cyavbyoouSxAia126ADo6Krhz5w7ToQAAlJSUMG3aNERERMDBwQETJ07Et99+ixs3bqC0tBQA\n71N9bGwsVqxYUas6kpKSvrhWhLq6OkxNTQU/a2lpYfr06dVuyNWmTRvo6+vXKh5FVSVpiI2NBQB0\n7izzWAgDAgJ4PQKJibKtV0cHmDCB9z0lDITIXqdOLLx48YLpMCowMjLCvn374OPjg3v37lUZeFhW\nVgYfHx+cP39e7LKTkpK+eA6Hw6kyjuHHH38UOgCyIY5nAIQkDVlZWQCApk1lHguREf4YBS4XuHuX\nlzhs3lzzeZVv4hgxouqx7GzejoYAb8YEAzOvCGnQDA3LBP/v5QmXy8WRI0eq7RVgsViYN28eXr9+\nLVa5oqzkWFJSAjMzswrHTExMMHr06Cq9DQ1xPAMgJGngT22hXSsbBv5g1/KXHPgDEmNi6lY2//HC\nkobTp3nJSnQ07yt/UCQhRDaaNOGgrKyM6TCqOHz4MEJDQ6sdf8DlclFcXIyJEyeKPL4hOztb5HMr\nJw0A8NNPPwkuk5RnZ2cnUpn1iVhbY5P65/p13tc5cz4fGzSI93XVKt5aDeXFxPDWXxCm/JiquDje\n4wGgV6+q582ezRuA2a0b7yt/UCQhpOF69+4dFi5c+MV1G8Qd36CpqYlu3boBgNAZFOUJSxo6d+6M\nfv36QUVFRXCsffv2aNoAu+QpaWiAyg9s5F+SmzLl8/38N/KAAN5aDeXPt7LivcEL06HD5/M6dOA9\n/sABXnnl8R/PH4DJ/8pPMgghDVNKSorge1VVVbD4o6+FEGd8g6qqKkJCQuDj4wNzc/Nqp1EqKysL\nNqaqbP78+YLeBjU1NfTv3/+L9dZHlDQ0cHPm8C4RVF6Tw82Nd7z82gkjRvCSibdvhZd17drnHosR\nI3g/Vx7k6O3NSyZ8fSHYz0RH53OSQitCEtJw2djYIDMzE9euXcPKlSvh4OAAdXV1ALw36spYLBZ+\n/PFHkcY3sFgsjB49GpGRkfD09ISOjk6FngMAaNq0abUJxcCBA9GpUycoKSkJ1pVoiFhsNrtCP9CZ\nM2cwa9YssQe71VcnTgDffy/+4L+GhP9hgNqIXi91Re0nO99/D5SUjIW3nGfqRUVFePDgAUJDQ3H1\n6lVER0ejrKwMampqKC4uBgA0b94cDx48ECQYosjOzsaOHTvw119/gcvloqSkBF26dMGtW7eqfczJ\nkycx579PRm/evIGurm6dnpuiYbFY7ipfPo0QQggR3/r16yW6o2Xz5s1hamqKzMxMpKenIy0tDTk5\nOUhKSoKNjQ169Oghdpn9+/fH8+fPkZiYiOTkZEydOrXac8vP6FiwYEE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"text/plain": [ "" ] }, "execution_count": 20, "metadata": {}, "output_type": "execute_result" } ], "source": [ "G = networkx.DiGraph()\n", "\n", "G.add_node('a', shape='square', style='filled', fillcolor='black', fontcolor='white', fontname='PT Serif', fontsize=40)\n", "G.add_node('b', fontcolor='#008000', fontname='Verdana')\n", "G.add_node('C', fillcolor='yellow', style='filled', color='red')\n", "G.add_node('bba', shape='record', style='rounded,filled', fillcolor='yellow',\n", " label = u' лево |{ верх | центр здесь | низ }| право | правее')\n", "G.add_node('bbc', label=u'<wat CO2!>', shape='rect')\n", "\n", "G.add_edge('a', 'aa', color='red', headlabel='∞', taillabel='1')\n", "G.add_edge('a', 'ab', style='dashed')\n", "G.add_edge('a', 'bbc')\n", "G.add_edge('b', 'ab')\n", "G.add_edge('b', 'bb', penwidth=5)\n", "G.add_edge('C', 'bbc', label='2SO4>', fontname='PT Serif')\n", "G.add_edge('bb', 'bba')\n", "G.add_edge('bb', 'bbc', arrowhead='diamond')\n", "\n", "A = networkx.nx_agraph.to_agraph(G)\n", "A.graph_attr['bgcolor'] = '#F0F0F0'\n", "# A.node_attr и A.edge_attr действуют только на вершины и ребра ниже\n", "for node in A.nodes():\n", " if not node.attr['fontname']:\n", " node.attr['fontname'] = 'Verdana'\n", "for edge in A.edges():\n", " if not edge.attr['fontname']:\n", " edge.attr['fontname'] = 'Verdana'\n", "\n", "# Для отрисовки подграфа name должен начинаться с cluster\n", "A.add_subgraph(['a', 'b', 'C'], rank='same',\n", " name='cluster0', label='top', shape='none', style='filled', color='gray', fontname='PT Sans')\n", "A.add_subgraph(['aa', 'ab', 'bb'], rank='same')\n", "A.add_subgraph(['bba', 'bbc'], rank='same')\n", "\n", "io = BytesIO()\n", "A.draw(io, format='png', prog='dot')\n", "PIL.Image.open(io)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Экспорт-импорт графов" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Обмен графами происходит обычно в формате программы `graphviz` — Dot Language https://www.graphviz.org/gallery/. Его можно записать в файл и отрендерить из командной строки." ] }, { "cell_type": "code", "execution_count": 21, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "strict graph {\n", "0;\n", "1;\n", "2;\n", "3;\n", "4;\n", "5;\n", "6;\n", "7;\n", "8;\n", "9;\n", "10;\n", "11;\n", "0 -- 1;\n", "0 -- 4;\n", "0 -- 5;\n", "1 -- 8;\n", "1 -- 3;\n", "1 -- 11;\n", "1 -- 9;\n", "2 -- 10;\n", "2 -- 3;\n", "2 -- 6;\n", "3 -- 7;\n", "}\n", "\n" ] } ], "source": [ "print networkx.nx_pydot.to_pydot(tree).to_string()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Дефолтный формат Gephi — основанный на XML формат GEXF" ] }, { "cell_type": "code", "execution_count": 22, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "\n", "\n", " \n", " \n", " NetworkX 2.0\n", " 06/06/2018\n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", "\n", "\n" ] } ], "source": [ "io = BytesIO()\n", "networkx.write_gexf(tree, io)\n", "print io.getvalue()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Похож на него и GraphML" ] }, { "cell_type": "code", "execution_count": 23, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n" ] } ], "source": [ "io = BytesIO()\n", "networkx.write_graphml(tree, io)\n", "print io.getvalue()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Алгоритмы" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Библиотека `networkx` содержит почти все популярные алгоритмы над графами." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Поиск кратчайших путей" ] }, { "cell_type": "code", "execution_count": 24, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "['a', 'b', 'c']\n", "a -> b 0.5\n", "b -> c 0.6\n" ] }, { "data": { "image/png": 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BGzduwNHRETNnzkS/fv1Ex6H/4DqEkVm/fj2OHTuGlJQU0VGISEesrKwQFRWF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\nIuIGAAAAAElFTkSuQmCC\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "G = networkx.Graph()\n", "#G.add_edge('a', 'b', weight=0.5)\n", "#G.add_edge('b', 'c', weight=0.6)\n", "#G.add_edge('a', 'c', weight=1.2)\n", "G.add_weighted_edges_from([('a','b',0.5), ('b','c',0.6), ('a','c',1.2)])\n", "\n", "pos = networkx.nx_pydot.graphviz_layout(G)\n", "\n", "networkx.draw(G, pos, with_labels=True, node_color='r', font_color='w')\n", "labels = networkx.get_edge_attributes(G, 'weight')\n", "networkx.draw_networkx_edge_labels(G, pos, edge_labels=labels);\n", "\n", "path = networkx.dijkstra_path(G, 'a', 'c')\n", "print path\n", "for u, v in networkx.utils.pairwise(path):\n", " print u, '->', v, G[u][v]['weight']" ] }, { "cell_type": "code", "execution_count": 25, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[0, 5, 4, 15, 14] 332.423288929\n", "{0: 0, 1: 1, 2: 2, 3: 3, 4: 2, 5: 1, 6: 2, 7: 3, 8: 2, 9: 3, 10: 4, 11: 3, 12: 2, 13: 3, 14: 4, 15: 3, 16: 2, 17: 1}\n", "[0, 5, 6, 7, 14]\n" ] } ], "source": [ "G = networkx.pappus_graph()\n", "pos = networkx.nx_pydot.graphviz_layout(G)\n", "weights = {(v1, v2): hypot(pos[v1][0] - pos[v2][0], pos[v1][1] - pos[v2][1]) for v1, v2 in G.edges()}\n", "networkx.set_edge_attributes(G, weights, 'weight')\n", "\n", "print networkx.shortest_path(G, 0, 14, weight='weight'), networkx.shortest_path_length(G, 0, 14, weight='weight')\n", "print networkx.single_source_shortest_path_length(G, 0)\n", "print dict(networkx.all_pairs_shortest_path(G))[0][14]" ] }, { "cell_type": "code", "execution_count": 26, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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Egb///e88/vjjeHh4iG3ODeh0OtLT03FxceHzzz9vv4uRHLxlcunSJdasWYOn\npycymYz4+HhiY2PZsGEDDz74IIGBgWKbaHHo1GoqU1LQ+PsTkpVl9pDTjtFV12+MX/+4sbERT09P\nVq5cyYoVKxgxYgTPPvusWe3tCWlm0E+qqqpwdHS0SCEAkMvl+Pj40NTUdF19eQlLob6+vr0sdEtL\nCzKZjPvuuw9/f/920Z48eTI7d+5k6dKlkpBfh9zODp+dO2lOSuLC888T9u67Zr2+TCbD3t4ee3v7\nHv/Hzp07x6+//grol62KiorMYWKfkMSgn5i6kc1A0Gg0aDQaPD09KS0tRalUYmNjY4SqkxIDpbm5\nub0sdG1tLcOHD2f69Ol4e3vz0Ucf3ZAjkpSUxMGDBzl79qxUf6oL7IcMQbl1Kz4TJlAeG0vQSssq\ne33p0iX27NmDi4sLAQEBbN++nQ0bNrDhxv6eoiN5h35SVFRksZUJX331Vf7617+2P3Z0dOQvf/kL\nL7/8snhG3cIolUoKCgrIzc2loqKC6OhoJkyYQERERHvwQW1tbZfryHK5nLS0NHbu3ElUVJTouQOW\niHtiIpfWr8froYeoiYrCJy1NbJPakclkrFmzhuzsbORyOeHh4bzzzjvcc889Ypt2A9KeQT9QqVS8\n/fbb/O53vxOlVktf+Oabb4iIiOD2228X25Rbira2tvZcgOLiYsLDw4mPjyc6OrrLXICLFy/y448/\n8sQTT9zwmiAIrFu3jvj4eIsLR7Qkyt5+G/dXXkF+6BAu0dFim9OOVqvlzTff5Pnnn8fhJhvdYiPN\nDPpBcXGxWbqaGYPY2FhycnIkMTADWq2W8+fPk5eXx9mzZwkICCA+Pp45c+b06AQ6hpVej0wmIz09\nnQ0bNpCQkGAVf3diEPzCC5QUFOCcno7diRPYeXqKbRKgb1bk4eFh0UIAkhj0C0sNKe2KqKgoNm/e\nfFNnI9F/BEGgtLSU3NxcTp8+jZeXF/Hx8e2RXL2lp88nICCA8PBwfvnlFyZPnmwEywcnoR9+SFla\nGqpp0wj89VdkFpADVFZWRnBwsNhm9Ii0ANkPioqKGDZsmNhm9Ap7e3tCQkIoLCwU25RBgyAIVFZW\nsmPHDt555x22bNmCu7s7jz32GI8++iipqal9EgLQJwT2JNZTpkzh8OHDNDc3D8T8QY1MLidg82Zs\nGhooWbhQbHMA6xEDaWbQR65cuUJbW5tVNaKPiYnhzJkzxMXFiW2KVVNTU9MeCqrT6YiPj2fRokVG\n+VswJJwQIU/kAAAgAElEQVTdDA8PD5KSkti7dy+zZs0a8DUHKzbOzrjt2oXDqFFc+POfCf3b30S1\np6yszCIKWfaEJAZ9xBBSak0x3zExMezevRutVmtRpTOsgYaGhvay0E1NTcTFxTF37lwCAwON+jfQ\n22W8CRMmsGrVKlJTUxkyZIjRrj/YcAoORvXDD/ikp1MZE4N/P/tCDJSGhga0Wi2eFrJ/cTMkMegj\nRUVFxMfHi21Gn3B1dcXHx4eSkhKr2esQk5aWFvLz88nNzeXy5cvExsaSnp5OaGioyUI7eysGjo6O\n3HHHHezevZuHHnrIJLYMFjzHjKHyo49we/JJ6iIj8RShr4Bhicgabh4lMegDWq2WkpIS5syZI7Yp\nfSY2NpaCggJJDLpBpVJRUFBAXl4eZWVlREVFMW7cOCIjI82SrKdSqXrdwzolJYXs7GwuXLhAaGio\niS2zbvwXLuRCQQHu99xDy9GjOJl57d5a9gtAEoM+UVpaio+Pj2jtLQdCbGwsa9eu5e6777aKuxRz\noNFoOHfuHHl5eRQVFREaGkpiYiL333+/2cM31Wp1r69pY2PDlClT2LlzJ48++qj0efZA6N/+RvGZ\nMzimpWF37Bg2Zqz4WlZWZjUrCZIY9AFrCim9Hm9vbxwcHKioqLCo/gvmRqfTUVxcTF5eHgUFBfj5\n+REfH8+sWbNwdHQUza6+hv7Gx8fz66+/kp+fLwUG9IKwf/6TirFjuThrFsG7d5ulqJ1araampgZ/\nf3+TX8sYSGLQB4qKipgxY4bYZvSbmJgYCgoKbjkxEASB8vJycnNzyc/Px93dnYSEBKZMmdLrpRlT\n01cxMCSibd68mZiYGKnuVA/IFAp8t2+nISmJCytWEPbxxya/ZkVFBX5+flbz2Uh5Br3E0NXMmksJ\nx8bGcubMGbHN6DWrVq0iOTkZe3t7li1b1um1lpYWnnrqKXx8fHB3d2fixImdXhcEgaqqKnbt2sW7\n777L5s2bcXFxYfny5Tz++OOMGTPGYoQA+i4GAOHh4fj4+HDkyBETWTW4sPP0xHHnTrw2bqTs7bdN\nfr2ysjKruvGyDsmyACyxq1lfCQgIQKVSUVNTg4+Pj9jm9EhAQEC3vZyfeOIJNBpNe9bviRMnAH0e\niCEXQK1WEx8fz4IFC/D19bXotfX+ZoinpaWxbt06kpKSLL7cgSXgEh1NzcaNeM+dy6WoKHxnzzbZ\ntcrKyqyqDIwkBr3EmvcLDMhksvaoovHjx4ttTo/MmzcP4IZezgUFBfzwww+Ul5fj5uZGU1MTbW1t\nfPLJJzQ0NDBixAhmz55NUFCQRQtAR/orBr6+vkRHR3PgwAHSLKhapyXjk5ZG+Vtv4fHwwzTs3497\nYqLRr2FYmrSmyENpmagXCIJgVSUoboZBDKyZw4cPExISwooVK3B1dSUqKop//etfTJkyhRdeeIG7\n777bamK7DQykdtTkyZM5duwYDQ0NRrZq8BK0ciU1y5ahmTED1eXLRh+/pqYGR0fHPpclERNJDHpB\nZWWlRXc16wuhoaHU1tbS1NQktik9otPpaGxspKGhgbq6Ovbv38/mzZvZsmULp06doq2tjQMHDvDP\nf/6TDz74ALVabZX1/nU6HRqNpsvS1r3Bzc2N5ORkfvrpJyNbNrgJ/f/+P5oTE6lJT0enVht17NLS\nUqvJLzAgLRP1gsGwRGRAoVAQFRVFQUEBo0ePFtUWrVZLY2Mj9fX1NDQ03PC9sbERR0dHiouLaW5u\nRqlU4ufnh4ODAzY2NmzYsKE9UuPOO+9kx44dDB8+XNT31B8MOQYDmcnccccdrFq1iqqqKvz8/Ixo\n3eBFJpcT9K9/UT16NKX330/Y998bbezy8nJJDAYjRUVF3HHHHWKbYTRiY2M5duyYycWgra2NhoaG\ndgdvcPKGx83Nzbi6uuLu7o6Hhwfu7u4EBwcTHx/f/tjGxoa6ujrKy8tJT08H9HsJmZmZqFSqdjGw\npiWh6zFGeXF7e3smTpzIzp07Wbx4sZEsG/woHBzw2rmTlpEjKfn97wl76y2jjFtWVsYYEcpfDARJ\nDHpApVJRWVk5qNL+hw0bxvfff49SqRxQBIpKperW0dfX16NUKnFzc2t37B4eHkRERODh4YGHhweu\nrq43jc7SaDQolUq0Wi1arba9l/OMGTPw8fHh+eefZ/Xq1Rw6dIiffvqJN998s9/vRUyM1Wvi9ttv\n59ChQxQVFZGdnc1f//pXSktL8fPzIyMjgwkTJhjB2sGHg58fqi1b8Jk0iYqYGAIfe2xA4129epXm\n5marKyQoiUEPWFNXs95iZ2dHWFgY586dIyEhoctjBEFAqVR2cvTXf29ra2t37AZn7+fn1/7Y1dV1\nQHfs1/dyzszMbO/lnJmZyeOPP467uzuhoaGsW7eO2NjYfl9LTIwlBgqFgqlTp/Lee+/x3Xff8dVX\nX5GSkkJlZaURrBzcuI8cSdXnn+OxdCm1UVF4T5rU77HKy8sJCgqyuv0rqQdyD2RlZeHh4TGolokA\njh49ytmzZ5kwYUK3d/cymayTozd8N/zs5OQk2vKMIAj84x//YNKkSURbUL/b/lBYWMjBgwd5+OGH\nBzyWIAhERUWxaNGiTkIq0TtK33gDjzffRJGdjXM/9wl37dqFra0tkwYgKGIgzQxugiAIFBYWWmWp\nYJ1OR1NTU7eOvqGhAY1GQ2NjI56enri7u+Pj48OwYcPanb4lJzHJZDJSU1M5dOiQ1YuBMVuS6nQ6\nSktLOXr0KMOGDUOpVDJ37lzeeustUWsvWQshf/gDJQUFOF3ro2zr5tbnMcrKyqxOCEASg5ty5coV\ntFqtRXY16xiJ09UyTlNTU3s4rOFO3t/fn9jY2PbH69evZ/z48URFRYn9dvpFXFwcO3fu5NKlSxb5\nGfWWvlQs7Ynq6mra2trIz8/n73//OxMnTmTOnDm8+uqrvPbaa0a5xmAn9LPPKJs0iarp0wnav79P\nfZS1Wi2VlZVWWbbmlheDVatWkZGRQW5uLgsWLCAjIwOA9evX8/jjjyMIAn/+85/R6XS0trZy5MgR\nRo0aZXK7DJE4XTn6+vp6WlpacHFx6eTsQ0JC2h+7ubn1WCDLkIBmrWKgUChITk7m0KFDzDZhWQFT\nY8yZgeHu//777+f06dNMnjyZF154QRKDPiCTywnYupXapCRKli0j/Isven1uZWUl3t7eRvs8zckt\nLwbd1b9ZtGgRcrmchIQE4uPjycjI4JVXXjFarRGVSnWDg+/o9JVKZae1end3dyIjI9sfu7m5DXiD\nKjY2lk8//ZSZM2da3WaXgVGjRvHBBx+QlpZmtcsgxhQDT09PgoKCsLW1JTAwkKysLKvsvyE2Ni4u\nuOzcicPo0ZS++iohL73Uq/OsrThdR255Meiu/s31Xc3Wrl3LkiVLerVhKggCra2t3Tr6+vp6tFpt\nJ0fv4eFBQEBA+88uLi4m35z19PTExcWF8vJyQkJCTHotU+Hi4kJMTAxHjx61inpLXaFSqYxatuCR\nRx7h66+/5pVXXqGsrIzMzExmzZpltPFvFZzDw7ny3Xd4T59OVUwMfvff3+M5ZWVlVpn4CJIYdEvH\nrmYXLlzg559/5rPPPgP0zv7q1avdOvr6+noUCsUNUTgdl3EcHR0tIlHK0OPAWsUAIDU1lS+//JJx\n48ZZ5QxHpVLh7e1ttPH+9Kc/cfLkSR555BGcnJyIjo7mt7/9rdHGv5XwGj+ei6tW4b58OfXh4Xgk\nJ3d7rCAIlJWVcdddd5nRQuMhiUE3nDlzBh8fH3Jycnj33XcZMWIEBw4c4Mcff6SxsRE7O7tO6/WG\nSBzDY0uOxOlIbGwsGzduJD093SLEqT/4+/vj4eHB6dOnrbLrlzE3kAFsbW35zW9+w4svvsiECRPY\nvn07P//8M/fee6/RrnErEbBsGRfOnMFt5kxajx/HMSCgy+MM4dju7u5mttA4SGLQDVqtlsLCQnQ6\nHdu2bePRRx9l7Nix7cs6gyUJzc/PD51Ox+XLl606Iic1NZWDBw9apRgYc8/AgE6na58l3Xnnnaxe\nvXpQ1dgyN6Gvv05JQQHK9HTsjh5F0X6zdwnIAHKQy8uYN09AJtMAjwDWlYFsfXNqM5GWloanpycl\nJSXU19fz+9//nmHDhjFkyJBBIwTQuceBNRMbG0tjYyMXL14U25Q+Ywox0Gq17aU+7OzsmDlzJllZ\nWbS1tRn1OrcSIV9/jc7envLZsxF0h4B5QCjwF2A97u4/Exa2H3gZCLn2erZo9vaVW14Muqp/o9Fo\nsLe35+GHH+a7775j3LhxVlWXvK8MBjGQy+WMHj2aQ4cOiW1KnzG1GABERUURGBjIvn37jHqdWwm5\nrS1Ddu3CK/kIQtt44DtAee2rI63XnvsOmAysMaud/eWWF4NXX30VR0dH3njjDTIzM3F0dOTVV19t\nfz03N5e4uLhBXSs+JCSkPTvZmrn99ts5e/Yszc3NYpvSJ8whBgDTpk3j+PHjVFVVGfVatxJ2Xl/h\n8poSub0G6KmSjwC0AC9iDYJwy4vByy+/jCAInb5efvllABwcHKivr+e1116joKBg0N5VyeVyoqOj\nrX524OjoSFxcnNU1iDf1noEBFxcX0tLS2Lx5MzqdzqjXuzXIBl7kg9VKkpPB3h6WLev6yL/9DWQy\n2LUL/iMIlv13ecuLQW9wdnZmyZIl5Obm8u9//1tsc0xCTEwMZ86cEduMAZOamsqRI0fQaDRim9Ir\nBEFApVIZfR+qq5kBQFJSEnZ2dhw+fNio17s1eB1oJSAAXnoJli/v+qiiIti4Efz9Oz7beu18y0US\ng17i4uLCkiVLOHr0KAcPHhTbHKMTGRnJxYsXO2VhWyNDhgxh6NChnDp1SmxTeoVWq0Umk/VYOqSv\n6HS6LsVAJpMxa9Ysfv75Z6tfFjQvl4CtgMC8eTB3LnSXGvL00/B//wed9V0AtgDG77dsLCQx6ANu\nbm4sXbqUQ4cOkZ1tPVECvcHW1pbw8HDOnj0rtikDxlDN1Bqqs5tiiQi6nxkAeHt7M2bMGLKysqzi\nd2QZZPTqqI0b9ctHd9/d1auyXo8jBpIY9BF3d3eWLFnCgQMHOHbsmNjmGJXBEFUE+sgZlUpFWVmZ\n2Kb0iCnF4GbZ2HfccQf19fXk5+cb/dqDkxxujBrqTFMT/M//wLvvdndEK5BrZLuMhyQG/cDT05Ml\nS5awd+9eTpw4IbY5RiMqKori4mKrj0WXyWSkpKRYRZipGDMD0Fd8nT17Ntu2bbP6pUFToNPpqKur\no7CwkMOHD1Ndfa7Hc15+GRYvhrCwmx1VZyQLjY+UgdxPvL29WbJkCWvXrkWhUHTbPtKacHJywt/f\nn/PnzxMTEyO2OQMiKSmJffv20dDQYNHlAUwlBt3tGXQkODiY2NhYdu3aZdUlwPuLIAg0NTVRW1vL\nlStXOn2vr6/HyckJb29vvLy8CA/37HG83buhvBxWr9Y/vnwZHngA/vu/9V96eh5HLCQxGAA+Pj4s\nXryYL774AoVCwYgRI8Q2acAYloqsXQzs7e1JTEzk8OHDpKeni21Ot4g1MzAwdepU1qxZw4ULFwgN\nDTW6HWIjCAItLS1dOvwrV65gZ2fX7vC9vb0JDg7Gy8sLLy8vbG1tO4yUD+wDlGg0oNGAVqv/UirB\nxkYvBh0n1aNHw9tvw4wZhmccAcu9aZTEYID4+vqyaNEiMjMzUSgUVu9EY2Nj+fnnn7uMU7c2UlNT\n2/skW2oJEbH2DAw4ODgwY8YMNm/ezIoVK4we1WQulEpllw6/trYWmUyGt7d3u9MfPnx4u/Pv/e9+\nGYLwZ2QyePVV6NheOjMT/vIX/TJRRxQK8PSE/xQvEIBlA32rJsM6P3kLw8/Pj4ULF7J+/Xrmzp1r\ntZ3DgPZCfKWlpYTdfPHT4vH09CQ4OJicnBySb1J6WEyMXbHUQG9nBqC/ATh58iT79+/nzjvvNLot\nxkKtVndy9h0dvkajaXfwXl5eREZGkpKSgpeXl1Ga+5w71wBEERl5ipdfFm5w/F1RUtLxkQy4G0su\nXieJgZEICAhgwYIFbNiwgfnz5xMRESG2Sf3G0OPA2sUA9LODrVu3MmrUKIss0S3mnkFHZsyYwUcf\nfUR8fDxDhojnsDQaDXV1dV3e5be2tuLp6dnu8IODg0lKSsLLy8tkzaBaW1vZvn07Fy5c4L77XkEu\nX4Q+o7ivOAJ/NLJ1xkUSAyMSFBTEAw88wNdff839999vtc40NjaWDRs2MG3aNIt0oH0hLCwMmUzG\n+fPnLbJ8s9h7Bgbc3NyYPHkymzdv5pFHHjHp567T6aivr+/S4Tc1NeHu7t7u8P38/IiLi8PLywt3\nd3ez/j0WFBSwZcsWhg8fzsqVK6/N4P6OvrREXwTB6dp5ljk7NSCJgZEJDQ3lvvvuY+PGjTz44INW\n2UHM19cXuVxOdXU1fn5+YpszIGQyWXsSmqWKgbOzs9HH7e2eQUeSk5PJycnh6NGjA15WEwSBxsbG\nbiN1XFxcOm3cRkVF4eXlhYeHR59EzBRcvXqVbdu2cfHiRebPn3/dxvrKa99fRBBakclulrQnQz8j\n+HuH8ywXSQxMQHh4OPPmzeOrr75i4cKFBAYGim1Sn+jY48DaxQAgISGB3bt3U1tba9T2ksbAUmYG\noP/cZ8+ezdq1a4mJicHV1fWmxxvav3YXqePg4NDJ4YeGhrZH6ljiRrUgCOTn57Nt2zYSEhJYsWLF\ndRFFBlYCo2lt/RN2druwsbFFn1BmwBH9ZvHd6JeGLHtGYMDyPpFBQmRkJHPmzGHDhg0sWrQI/85V\nqyye2NhYtmzZwuTJk8U2ZcDY2tpy++23c/jwYWb8J87PIjDVBnJf9wwM+Pr6MmrUKLZu3coDDzwA\n6NfNu4vUUSgUnSJ14uLi2n+21AiurmhubiYrK4uamhoefPBBgoKCejgjmePHX0KpXMrUqWXoM4vr\n0OcRJKCPGrLczeKukMTAhERHRzNz5kzWr1/P4sWLGTp0qNgm9ZqgoCCam5upq6vD09NyE2V6y+jR\no1mzZg133nmnRfWntpSZgVqtbnf0crmcoqIiVq1aRUtLCzqdrlOkTlRUFGPGjMHLywtHR0ej225O\nBEEgJyeHnTt3MnLkSObPn9/rWUtZWRnx8fHAQ6Y10kxIYmBihg8fjk6nIzMzkyVLlogaqdEXOvY4\nGDt2rNjmDBg3NzciIyM5ceIEY8aMMfv1V61aRUZGBrm5uSxYsICMjAwAiouLeeutt9rrKI0aNYr3\n3ntvwAmMXe0ZaDSaG0IyDT8rlcpODj85OZkTJ07w2GOP4enpafWBBF3R2NjIjz/+SGNjIwsXLiSg\nm0b3XSEIAmVlZdzddUU6q0QSAzMQFxeHVqvliy++YMmSJfj4+IhtUq+IjY3ll19+GRRiAPow03/9\n61+kpKSYPaEuICCAl156ie3bt3eqBeTo6Mg//vEPRo0aBcAHH3zAQw89RE5OTr+uo9VqqaurQ6fT\nkZ2d3cn5Nzc34+Hh0e7wAwICSEhIwMvLCzc3txscfmtrKwcPHhxUDg/0jvz48ePs3r2b0aNH8+CD\nD/Z5Sa2urg4bGxvc3NxMZKX5kcTATCQmJrYLwtKlS/Hy8hLbpB6JiIhg06ZNXL161SQRL+YmKCgI\nR0dHzp07Z/ZM8Xnz5gFw5MgRysvL259XKBTExsaiUCjQaDQoFAoKCwtvOpYgCDQ0NHS5jt/Q0NC+\n8VtXV4ePjw8xMTHtkTp9EcH09HRWr15NYmJiL9bQrYP6+no2b95Ma2srS5Ys6ffSbWlpKcHBwUa2\nTlwkMTAjI0eORKvVsm7dOpYtW4aHh4fYJt0UGxsbIiMjOXv2LCNHjhTbnAHTMczUUsqGGPYMPDw8\naG5uRqfT8be//Q1BEGhubu7S4dfV1eHo6NgpUic8PBwvLy88PT0RBIE333xzwHf0jo6OTJs2jc2b\nN/PEE0+IHvI5EARB4MiRI/z000+MGzeOcePGDWh2WFZWJomBxMBITk5Gq9Wydu1ali1bZtEVNUG/\nVJSXlzcoxAD0S3Y7d+7k0qVL+Pr6imqLIAio1Wqqq6vZt28f5eXlfPfdd1RVVfHGG29gY2PTKVLH\nsKTTU6SOUqk0muOOi4vj5MmT/PLLL0yYMMEoY5qbK1eu8MMPP6DVannkkUeMsm9XVlbWvrQ3WJDE\nQARSU1M7zRB6iucWk6ioKH788UeThUCaG4VCQXJyMocOHRK1bHNhYSGHDh3C29ub7du3tzv8Z555\nhsmTJ3Py5Ml+Jyz2J8egO2QyGTNnzuTjjz9mxIgRFpencTN0Oh2HDh1i//79TJgwgdTUVKPsFSmV\nShoaGgZFDk5HJDEQiXHjxrULwtKlS3H5T2lDi8LBwYGgoCAKCwsHRYlu0EfsfPDBB0ydOtUoRcx6\ni0qloqKigtOnT7N7925SUlKIj4/vlNik0WjaK3AORAyMuUHu4eHBhAkTyMrKYvHixVYRWVRTU8P3\n33+PQqHg0UcfNaqIlZeXExAQYPVVfa9ncL0bK2PChAnExcXxxRdf0NLSn+JX5iE2NpYzZ86IbYbR\ncHFxISYmxmxtS2tqati8eTNvvfUW9fX1BAYGsmTJEhISEti7dy/Hjx9Hq9XS2NjICy+8gKenJ8OH\nD+/39fqbcHYzUlNTUSqVnDx50qjjGhudTseBAwf47LPPSEhIYOnSpUafzQzGzWOQZgaiM2nSpE5h\np5aYxBMTE8OePXuMuvwgNqmpqXz55ZeMHTvWJO9Jp9Nx7ty5ay0Tq8nNzWXdunXtrzs5OfGXv/yF\nuLg4fvOb31BeXo6joyMpKSls27ZtQIlxpvic5HI5s2fPZv369URFRVlkdFl1dTU//PADDg4OPPHE\nEyYL0CgvLx804dYdkcRAZGQyGVOmTEGj0ZCZmcnixYstKkMW9Alb3t7eXLhwwapLc3fE398fDw8P\nCgoKiIuLM9q4ra2tHD9+nOzsbJycnEhJSSEuLg4bGxvWrl3b5Tn333+/0a4PphED0P/OEhMT2b59\ne3uorCWg1Wo5cOAAhw8fZurUqYwcOdJkS1k6nY6KiopBE2rbEWmZyAKQyWTcddddBAYGsn79elQq\nldgm3YChx8FgwhBmagyqq6vZvHkz7733HlVVVcyfP5/HH3+c2267zexF2Yy9Z9CRyZMnU1ZW1mMu\nhLmorKzkk08+oby8nCeeeILbb7/dpHsa1dXVuLu7W+QMfqBIYmAhyGQyZsyYga+vL//85z9Rq9Vi\nm9SJ4cOHU1BQgCDcrGSvdREbG0tjYyMXL17s1/k6nY7Tp0+zdu1aMjMzcXNz4+mnn2bevHmi3jma\nYs/AgJ2dHTNnziQrK0vUv1GNRsOePXvIzMxk7NixLFy40Cxh2oMxv8CAJAYWhEwmY9asWXh5efHl\nl1/S1rG7tsj4+PhgZ2dHZWWl2KYYDblczujRo/s8O2hpaeHAgQO89957/Prrr4waNYrf/va3TJo0\nySKiwky9tzNs2DCCg4PZu3evya5xM8rLy/n444+5fPkyK1as4LbbbjNbhJMkBhJmw1BT3sXFha++\n+gqNRiO2Se3ExsZy+vRpsc0wKrfffjtnz56lqampx2MrKyv5/vvvef/996mtreXBBx9k+fLlxMfH\nW9TGujk2+qdNm0ZOTo5Zbw7a2trYsWMHX375JRMnTuSBBx4we46OJAYSZkUulzN37lzs7e3ZuHEj\nWq1WbJOAwRdiCvqSC3FxcRw5cqTL17VaLXl5eXz22Wd8+eWX7Ylhc+bMsdgeFabcMzDg7OxMWloa\nmzdvRqfTmfRaoA/n/PDDD2lsbGTlypXEx8ebPd+hsbGRtrY2q6gr1h8kMbBQ5HI58+bNQyaT8c03\n31iEIAQGBlJRUUF6ejqenp74+fnxzDPPWNTspT+kpqZy9OjRTu+jubmZffv28e6773LkyBHGjBnD\nc889x4QJEywyrLIjptwz6Mhtt92Gg4OD0Tbhu0KtVrN161Y2btxIWloa9913n2i/f8OswBqS7vqD\nJAYWjEKh4L777kOr1fKvf/3LLHdgN0Mmk7F9+3ZsbGyorKzkxIkT7Nu3j9WrV4tq10AZMmQIfn5+\n5OXlUV5ezqZNm/jggw9obGxk0aJFLFu2jBEjRlhNxqm58kEMe1z79++nvr7e6OMXFxfz4YcfolQq\neeqppwaUiGcMysrKBmVIqQHr+Ou+hbGxseGBBx6gtbWV77//XnRBqKurIzo6GgcHB/z8/Jg+fTqn\nTp0S1aaBotFo8PX1ZcuWLXz77bf4+fnx7LPPMnv2bKvqTmfAnMmBXl5ejB07lqysLKNFmqlUKn78\n8Ue+++47pk+fzr333msRoZxlZWX9LhFiDUhiYAXY2Njw0EMP0djYyObNm0UN73zxxRc5cOAA1dXV\nVFRUsHXrVqZPny6aPQOhsbGRPXv28M4771BVVYWDgwP33HMP48aNswjn01/MsWfQkXHjxtHY2GiU\nm4LCwkLWrFmDTqdj5cqVREdHG8HCgdPW1sbly5ctdp/IGEhiYCXY2tqyYMECrly5YtS7sL4yefLk\n9vo6QUFBJCcnM3fuXFFs6Q+CIFBaWso333zDmjVrUCqVLF26lCVLljB+/Hiys7PFNnHAmGvPwIBC\noWD27Nk3dHHrC4aZ748//sjs2bO55557LCoTv6KiAl9f305FBQcbMmEwZRHdAqhUKr744gsCAwOZ\nPn26WTezdDod4eHhzJ8/H19fX9RqNZs2bSIoKIilS5diZ2fX5Ze9vX23j21sbMzyHtra2sjLy+Pw\n4cOo1WpSUlLaN0ANqFQq3n33XZPWtTEHR44cobKy0uwlurdu3YparWbOnDl9Ou/MmTNkZWURGxvL\n1KlTsbe3N5GF/Wf//v20tLQwbdo0sU0xGZIYWCFKpZJ169YRFhZGenq62QShpqaGIUOGUF9fT1lZ\nGXl5eWRlZbFnzx4++eQThgwZgk6nQ61Wo1KpUKvVXX51fE2r1fYoHj29dv1zHe+KGxoayM7O5vjx\n40x/sN0AABSPSURBVAQGBpKSkkJkZGS3v7Pt27cjl8tJT083y+/UFBw6dIja2lqz9y5WqVSsXr2a\nuXPnEh4e3uPxLS0tbNu2jfLycu655x7CwsJMb2Q/2bBhA7fddtugKePeFZIYWCmtra2sXbuWqKgo\npkyZYjZBiIiI4Mknn+R3v/sdzc3NLF26lLa2Nh5++GFKS0uJjo4mMTGRiIiIXq1bG8SjK6G42XPd\nvaZSqZDJZNjY2KDT6dBqtTg7O+Pp6Ymzs3OPQqJSqcjKymLZsmWdjremcMJffvmFpqYmUe5iz5w5\nw44dO/jjH//Y6fnW1laeeuop3n//fQDy8/PZunUr8fHxTJkyxaKXXwRB4K233mLlypUW3YhqoEhi\nYMVcvXqVtWvXEhcXx6RJk8xyzRMnTvDb3/6WkydPolAomDJlCu+//z5Dhw7l6tWrnDp1ipycHOrr\n64mPjycxMRF/f3+zOFO1Wk1OTg6HDx9Gp9O1i5KhveTNxKatra395+rqahQKBXK5HJVKhUajwcbG\nxiizFsNzCoXCZL+TAwcOoFQqSUtLM8n4PfH111/j4+PDlClTAH3Ohp+fH1u2bOH2229n69atXLp0\niXvuuccqsnlrampYv349zz33nNimmBSphLUV4+zszJIlS8jIyEChUDB+/HiTXzMpKanbmjTOzs6k\npKSQkpJCbW0tOTk5bNy4ERsbGxITE0lISDDJWnxdXR2HDx9ubxU5ffp0wsPD++1si4uL2bJlC089\n9RQymQxBEGhra+vVrKW1tZWGhoYej9fpdDcVD1tb216JS8fHhpmYuaOJrmfGjBl8+OGHxMfH4+vr\ny7fffouvry8eHh58+OGHJCUlce+995q9mmt/GcwlKDoizQwGAU1NTWRkZJCcnGxxTTcEQaCsrIyc\nnBzy8/Px9fUlMTGRESNGDChaRBAEzp8/z+HDhykvLycpKYnRo0cbRWwEQeCjjz4iPT2dyMjIAY/X\nFVqttldLXt0tj3X1ukKhwM7Orj2ayNPTc0AzGVtb234L6pEjRzh58iTLly9n8uTJ+Pj4kJaWxpw5\ncwgICDDyb9O0fP/99wQEBDB69GixTTEpkhgMEhoaGsjIyGDs2LGkpKSIbU6XaDQaCgsLycnJ4fz5\n80RERJCYmEhUVFSvQyFVKhUnT57k8OHD2NjYkJKSQkJCgtHXnI8dO0ZBQQELFy406rimQhAENBoN\narWaPXv2YGNjQ1xcXL/3XtRqNRqNBltb215t7HclJDt37kQQBJ555hkyMzN58MEHLaqgX0dWrVpF\nRkYGubm5LFiwgIyMjPbXnn32WbZs2cLFixdJTU0lIyOD0NBQ8Yw1EZIYDCLq6upYu3YtEyZMYNSo\nUWKbc1NaW1vJz88nJyeHy5cvExcXR2JiIkFBQV3ejdbW1nL48GFycnKIiIggJSWFkJAQk627t7W1\n8c4777B8+XKj99A1Ndu3b8fNzW3As0SdTtfr5bGOey+G11paWvjpp58oLS3l119/NdK7Mw2bNm1C\nLpe350oYxMAQFLF27VrmzJnDn/70J/bv38/BgwfFNdgESGIwyLhy5QoZGRlMmTKFpKQksc3pFfX1\n9eTm5pKTk4NWqyUhIYHExES8vLza+whXVVUxcuRIkpOTzdLEBGD37t2oVCqzh2gOlC1btuDt7U1q\naqrYphAdHc0f/vAHli9fLrYpveKll16ivLy8XQxeeeUV1q1bx7lz5wB90IaPjw/Hjx8nNjZWREuN\nj3Xs4Ej0Gi8vL5YsWcK6detQKBQkJCSIbVKPeHh4MGHCBMaPH09lZSXHjh3j448/bg8LHTduHA89\n9JDZNxxHjx7NmjVrmDJlikVlw/aEOWsT3YxffvmFiooKo/d4NifHjx/vlFvg7OzMsGHDOHXq1KAT\nA6kcxSDEx8eHhx9+mB07dpCfny+2Ob3m8uXLHDt2jFOnThEdHc3UqVMJCQnhp59+YuPGjZw6dcqs\n3d/c3NyIjIzk+PHjZrumMTB3OYruWLt2LfPmzbPq2Pyamhr8/Pw6Pefm5tarZkjWhjQzGKT4+vqy\naNEiMjMzkcvlFnsXo9PpOHv2LIcPH+by5cuMGjWKp556qpMDUalUFBQUcOzYMX788UdiY2NJTEwk\nLCzM5PkLqampbNq0idTUVKmEdR/56KOPxDbhprS1tdHU1ERTUxPNzc00NTVx/vx5Kisr+fjjj7ly\n5UqXf18NDQ1WLXDdIYnBIMbPz4+FCxfyz3/+E4VCQVRUlNgmtdPS0sKxY8c4cuQIrq6upKSkMGLE\niC6dmL29Pbfddhu33XYbjY2N5OXltW/0GfYXfH19TWJnUND/397dxbRV/nEA/xbGwFI3oBQy3Bhu\nvDkGeAjrEpS5i21Gp1NJ9kaImzpvdDoudDdOhnjpzeKIiZlOsiVMEkNCsgsxSyZLplJLD5SBBWGM\nd3pA3qS8tj3/i4XzL3QMZEBb+v0kJ9kOrDkd4fn2PM/v/J6tUKvVaG5u9tpAnc/Tzxl4mt1uVwZ3\n12P+uZmZGTz99NPKERISgomJCdhsNoyOjiI9PR1BQUEoLy9XXttms6G1tRUpKSkefIergwvIfqCr\nqws3btxATk7OqtXNL1VfXx+qq6thsViQlJQEvV6/7Lpzq9UKs9mM+vp6hIaGIjU1FampqSv+qc1s\nNqO2thZvv/32ir7uaikrK0NaWprHN4NZaU6n85GD/PyBfnJyEhqNRhnkXf/sesy2KX/w4AGMRiMs\nFgtEUYQsyygtLUVQUBCGhoYQHx+Pq1ev4vDhwygoKMCdO3dYTUS+q6OjA2VlZTh69OiaNwRzOByw\nWCwwGAwYHh5GZmYmMjIyVmz7QqfTifb2dpjNZlgsFsTExCiD4caNG5/49R0OBy5duoS8vDyf2Oym\ntLQUmZmZXrMXwGKcTifGx8cXHeTHx8ehVqsXHeRDQ0MXnT4cHR1FbW0tamtrsXHjRhiNRnz//fdz\nvufixYsoLCzErVu3cPbsWbS3tyvPGXhzU73lYhj4kba2Nvz00084fvz4muzYZLPZUFNTA6PRiIiI\nCOj1eiQnJ6/qFMbMzAyamppgNpuX1ThvIVVVVRgZGcGRI0dW8GpXx/Xr15GVleXxu0BZljExMfHI\nQd71sNlsCAkJeeTAPn+Qf5KfocPhQHNzM0RRRGdnJ1JSUpCRkbFmvbO8HcPAz7S2tqK8vBwnT55c\ntf1cu7u7YTAY0NzcjOeeew56vd6tImMtrGTjPJvNhuLiYnz00UdQq9WrdMUro6SkBC+99NKS2kgv\nhyzLmJqaWnSQHxsbQ1BQ0KKDvEajWdUF74GBAYiiiLq6Omi1WgiCgF27dq3IXeN6wjDwQ3///Tcq\nKiqQm5u7Yn1iHA4HGhoaYDAYYLPZlKkgb9k+crZxntlsXnbjvIqKCkRERCA7O3sVr/TJXb16FQcO\nHFjW3d/8QX6hOfrAwMBFp2s0Go3HWlNPT0+jsbERoihicHAQaWlpEAQBkZGRHrkeX8Aw8FMWiwU3\nb95EXl7eE31q//fff2E0GmEymaDT6aDX65GYmOi11SxP0jivr68PN27cwMcff+wVpZsLuXLlCl59\n9VU888wzyjnXMsrHDfZOpxObNm1adKD3xk/Vsiyjp6cHJpMJjY2NiI2NhSAI/6n3lT9jGPixzz77\nDNeuXYMkSXOac/3xxx/4/PPPUVNTg8DAQOzfvx9ff/21shm4LMvo6uqCwWBAS0sLdu/eDb1eD51O\n58F3898tp3FeSUkJIiIicOnSJdTU1ECn0+Grr77CW2+9tcZX/9Cjyijv3LmDrVu3wm63L1hGudAg\nHxwc7HPz5+Pj4zCbzRBFETMzMxAEAenp6di0aZOnL82nMAz8WHl5OTo7O1FWVobY2Fj8+OOPAB7u\nZTs2NoaXX34ZGzZswNmzZ9HT04ObN28q+whPTU1hz549eP75532qVcNClto4r76+HgcPHsT58+dx\n7tw5VFVV4fXXX4coiitaveNwOGCz2ZZVRtnY2Ii9e/ciJiZmThmlrw3yjyPLMtra2mAymdDS0oLE\nxEQIgrAmDyKuVwwDwvvvv4+6ujr8/PPPiIiIcPt6VVUVXnnlFRQVFWHLli3Q6/WIj49ft790w8PD\nyvqC0+lUHmzTarUwm83Ys2cPWltblQX4Q4cOYe/evfjyyy8Xfe3HlVG6HhMTE3PKKBc61Gq128/h\n8uXLyM3N9bluq0sxMjKilISGhIRAEASkpqZ6zdqUL+MTyITo6GhER0fj2rVrOH36NMLCwiDLMtrb\n22EwGHD9+nXExsbinXfeWZcDzHxhYWHYt28fsrOz0dvbC7PZjB9++AFhYWFKeWN1dbUSBrIs4969\ne0sa5Bcqo9yyZQsSExNXpIzSW9pRrBSHw4GmpiaIooju7m6kpKTg2LFjyrQlrQyGAQEAtFotsrKy\nUFJSgrS0NDQ1NcHpdCI8PBx3795FRUWFXwSBK5VKhZiYGMTExODQoUNobW2FKIp46qmncOXKFUxM\nTMBkMuH27dt49tlnUVxc7DYvr9PpsGPHjjUrowTWTxj09/dDFEWYzWZERkZCEAQcO3bMYxVK6x3D\ngBR6vR5BQUGorKyE0+kEABQUFODcuXOIjY3FxMSE396OBwQEICEhAQkJCdixYwc++OADnD17Funp\n6cjJyUFoaCjOnz/v6csE4Nu9iaanp9HQ0ABRFDE0NIT09HS/uSP1NIYBzSEIAgRBgMViwYEDB3Dm\nzBlkZGTg1q1bkCQJwcHBiI6ORlRUlHLodDqf2dx8JWRmZsJgMCh/z8rKwqlTpzx4RXN5SwvrpZJl\nGd3d3TCZTPjrr7+wfft2vPDCC0hISPDZUPNF/vMbTG7sdjvsdjscDgccDgcmJyexYcMGWK1WHD58\nGPn5+fjkk0+U75dlGcPDw5AkCZIkoaWlBXfv3sXQ0BDCwsLmBER0dDTCw8PX5SKz2WxGYmIinE4n\nvvnmG/T29uL06dOeviyFr0wTjY+Po66uDqIowuFwQBAEt/bltHZYTeTHCgsL8cUXX8w5d/HiRahU\nKhQWFro1khsbG3vk6zgcDgwMDECSJFitViUsxsfHodPp5gREVFQUNBrNqr2ntfDpp5/iu+++w8zM\nDLKzs3H58mXEx8d7+rIURUVFuHDhgld+qnY6nbh//z5EUURrayuSkpIgCAK2b9++Lj84+BKGAa2a\nyclJ9Pf3zwkISZKgUqncAiIqKsorn2r1NbIso6ioCAUFBV41uA4PDysloWq1WikJXQ/PqKwXnCai\nVRMSEoJt27Zh27ZtyjlZljE2NqYEREdHB4xGI/r7+6HRaNzWI7RarU9MeXiL2SkibwgCu92ulIT2\n9PRg9+7dOHHihEeaFtLiGAa0plQqlVJm6Tq14nQ6MTg4qNw9NDY24vbt2xgdHYVWq3Vbj9i0aZNX\nDHjexhsqiSRJgslkQn19PaKiopCRkYHjx4+zJNTLMQzIKwQEBCAyMhKRkZHYtWuXcn5mZgb9/f3K\nekR1dTUkScLMzIxbQERFRflt6essT1USTU1NoaGhASaTSdky8r333nvkE+3knRgG5NWCgoKUB79c\njY+PKwFhtVpRX1+vlL7ODwh/Kn1dy0qi2YaFJpMJFosFcXFx2LdvH+Lj4z1+d0L/nX/8htC6o1ar\nERcXN2f7QVmWMTIyoqxHtLS04LfffsPg4CA2b97sth4RHh6+7gattQgDm82mlITKsgxBEPDhhx/6\nfJWYv2MY0LqhUqkQFhaGsLAwJCUlKeddS18lSUJtbS2sVqtb6evs3cRS9tD1Vqu1ZuB0OpV2HPfv\n30dycjJee+01xMbG+uz/Fc3FMKB1LzAwUGnG52pqakoJCKvViqamJrfS19mA0Ol0CA4O9tA7WLqV\nXjMYGhpSSkI1Gg0EQcCRI0dYEroOMQzIbwUHBy9Y+jobEJ2dnaipqcHAwABCQ0Pd1iO8rfR1JaaJ\n7HY7LBYLRFFEb28vUlNTkZub6xamtL4wDIhcuJa+7ty5UznvdDoxNDSkrEc0Njbi119/xcjICCIi\nItzWIzZv3uyR6ZMnCQOr1QqTyYR79+4hOjoaGRkZOHnypN8svvs7/pSJliAgIABarRZarXbB0ldJ\nkmAwGGC1Wt1KX2fvJla79PW/rhlMTU2hvr4eoihibGwM6enpOHPmDMLDw1fxKskbsR0F0SqYLX2d\n36/JtfR1NiAiIyOX9UBWcXExSkpKUF9fr+xh3d7ejl9++QWVlZUwGo1ob2/H7du3sX//fuXfybKM\njo4OiKIIi8WCHTt2QBAE7Ny5c91VV9HS8c6AaBU8rvR1NiBaW1vx+++/K6Wv89cjFit9jYmJwYUL\nF1BZWYmJiQkA/58mevHFF5Gfn4+jR48q3z82NqaUhKpUKgiCgIMHD7o1JCT/xDAgWiOupa+JiYnK\neYfDgX/++Ue5g6itrYUkSbDZbIiMjHRbj9BoNFCpVMjJyQEAGI1GdHV1Ka8VHByM/Px8AA8rqTo7\nO1FWVoYHDx4gOTkZb7zxBrZu3cqSUJqDYUDkYYGBgcpA78q19FWSJDQ3N8NqtQLAnIAYHR2Fw+EA\n8P81g6GhIWUdwGw248SJE3jzzTd9ojyWPINrBkQ+xLX0dfb49ttv0dfXh1OnTkGtVmNkZASyLCM1\nNRXvvvsuSktL56wZED0K7wyIfMijSl///PNPdHZ2Ii8vD5IkKa3DN2zYwAVhWjKGAdE6oFKplNJX\nouXgxwYiH2W32zE5OTlnD2u73Q7g4XrD5OQkAGB6ehqTk5PgjDA9DtcMiHzUQntYFxYWIi4uDu3t\n7XO+1tbWNqfUlcgVw4CIiDhNREREDAMiIgLDgIiIwDAgIiIwDIiICAwDIiICw4CIiMAwICIiMAyI\niAgMAyIiAsOAiIjAMCAiIjAMiIgIDAMiIgLDgIiIwDAgIiIwDIiICAwDIiICw4CIiMAwICIiMAyI\niAgMAyIiAsOAiIjAMCAiIjAMiIgIDAMiIgLDgIiIwDAgIiIwDIiICAwDIiICw4CIiMAwICIiMAyI\niAgMAyIiAsOAiIjAMCAiIjAMiIgIDAMiIgLwP/aJkQFESJ/oAAAAAElFTkSuQmCC\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "path = networkx.shortest_path(G, 0, 14, weight='weight')\n", "SG = networkx.subgraph(G, path)\n", "\n", "networkx.draw_networkx_edges(G, pos, edge_color='gray')\n", "networkx.draw_networkx_labels(G, pos)\n", "networkx.draw(SG, pos, node_color='yellow', edge_color='red');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Популярный алгоритм A`*`, ускоряющий поиск, если расстояния в графе не меньше расстояния по прямой между вершинами, реализован в методе `networkx.astar_path`. Минорирующее расстояние считается функцией, передаваемой в аргумент `heuristic=`." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Минимальное остовное дерево (MST)" ] }, { "cell_type": "code", "execution_count": 27, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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cF+Jvu43c7GyCbroJvwMHSBw6tMv2nW1X1dXVUVJS0ul2VU8Oyc96V5UB39CZ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\nAgkGQgghkGAghBACCQZCCCGA/wcjTjZCxTuVUQAAAABJRU5ErkJggg==\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "networkx.draw_networkx_edges(G, pos, edge_color='gray')\n", "networkx.draw(networkx.minimum_spanning_tree(G), pos, node_color='yellow', edge_color='red')\n", "networkx.draw_networkx_labels(G, pos);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Связные компоненты" ] }, { "cell_type": "code", "execution_count": 28, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[set([0, 1, 2]), set([3, 4, 5, 6]), set([8, 9, 7])]\n", "[3, 3, 3]\n" ] }, { "data": { "image/png": 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CggIVFBQMeVd6enp04sSJfuPd0NAQMezp6emDGoGH287n8w38WHV+vrlkZaCmJvPmDf39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\nAGDJ/wNxC2AP0g+pFgAAAABJRU5ErkJggg==\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "G = networkx.from_edgelist([(0,1), (1,2), (2,0), (3,4), (4,5), (5,6), (7,8), (8,9), (9,7)])\n", "networkx.draw(G, with_labels=True, font_color='w')\n", "print list(networkx.connected_components(G))\n", "print [SG.number_of_edges() for SG in networkx.connected_component_subgraphs(G)]" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Диаметр графа это $\\max_{u,v \\in V} \\rho(u,v)$, радиус $\\min_{u \\in V} \\max_{v \\in V} \\rho(u,v)$, центр — вершина(ы), где радиус достигается." ] }, { "cell_type": "code", "execution_count": 29, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "1 2 [2, 3]\n" ] }, { "data": { "image/png": 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JE5DL5ahfvz7+/PNPVKxYUXQknWHII+eXVa5cGbt27cLnn3+Oli1b4ueff+YtV0RqwrW1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\nTkSuQmCC\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "G = networkx.house_x_graph()\n", "networkx.draw(G, with_labels=True, font_color='w')\n", "print networkx.radius(G), networkx.diameter(G), networkx.center(G)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Клика это полный подграф" ] }, { "cell_type": "code", "execution_count": 30, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[[0], [1], [2], [3], [4], [0, 1], [0, 2], [0, 3], [1, 2], [1, 3], [2, 3], [2, 4], [3, 4], [0, 1, 2], [0, 1, 3], [0, 2, 3], [1, 2, 3], [2, 3, 4], [0, 1, 2, 3]]\n" ] } ], "source": [ "G = networkx.house_x_graph()\n", "print list(networkx.clique.enumerate_all_cliques(G))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Мост и шарнир это, соответственно, ребро и вершина, при удалении которых из графа число его компонент связности возрастает." ] }, { "cell_type": "code", "execution_count": 31, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Мосты: [(4, 6)]\n", "Шарниры: [6, 4, 2]\n" ] }, { "data": { "image/png": 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kph6+vr7WnUGetRPI3wQ0D2MXD2DKh0CfBYBHL6CmAPhhO1B8tOV7tQCG7gRmbbBefXZI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\niK1rkiUGMhE5Hba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f/hKfXr2Kl156CVOmTJGm1mYEQYBarTbZZjYYDCa3iQwICLDaddDU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\nZOD/A3a4Iw9Y4KurAAAAAElFTkSuQmCC\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "G = networkx.from_edgelist([(1,2),(2,3),(3,1), (2,4),(4,5),(5,2), (4,6), (6,7),(7,8),(8,6),(8,9),(7,9),(6,9)])\n", "pos = networkx.nx_pydot.graphviz_layout(G)\n", "\n", "bridges = list(networkx.bridges(G))\n", "articulation_points = list(networkx.articulation_points(G))\n", "\n", "print 'Мосты:', bridges\n", "print 'Шарниры:', articulation_points\n", "\n", "networkx.draw(G, pos=pos, with_labels=True, font_color='w', edge_color='gray')\n", "networkx.draw_networkx_edges(G, pos=pos, edgelist=bridges, width=5, edge_color='k')\n", "networkx.draw_networkx_nodes(G, pos=pos, nodelist=articulation_points, node_color='orange');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Граф можно разложить на базисные циклы" ] }, { "cell_type": "code", "execution_count": 32, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "[[2, 3, 1], [4, 5, 2], [8, 7, 6], [9, 7, 6], [8, 9, 6]]" ] }, "execution_count": 32, "metadata": {}, "output_type": "execute_result" } ], "source": [ "networkx.cycle_basis(G)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Максимальный поток минимальной стоимости" ] }, { "cell_type": "code", "execution_count": 33, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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Cr76Czp2zLd3QkZKifvzWrbm+TGpq6ivr/8bHxyOTybIlVQ8PD+rUqaP9WjNG+iply5bF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\nBa1ecRkKAAAAAElFTkSuQmCC\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "seed(1)\n", "G = networkx.house_x_graph()\n", "capacity = list(random.randint(1, 20, (G.number_of_edges(),), dtype=int))\n", "networkx.set_edge_attributes(G, dict(zip(G.edges(), capacity)), 'capacity')\n", "cost = list(random.randint(1, 100, (G.number_of_edges(),), dtype=int))\n", "networkx.set_edge_attributes(G, dict(zip(G.edges(), cost)), 'weight')\n", "\n", "flow = networkx.max_flow_min_cost(G, 0, 4)\n", "DG = networkx.DiGraph()\n", "DG.add_edges_from([(u,v) for u in flow for v in flow[u] if flow[u][v]])\n", "edge_labels = {(u,v): '%d / %d (cost %d)' % (\n", " flow[u][v] + flow[v][u], G.edges()[(u,v)]['capacity'], G.edges()[(u,v)]['weight']) for (u,v) in G.edges()}\n", "\n", "pos = networkx.nx_pydot.graphviz_layout(G)\n", "networkx.draw(G, pos, with_labels=True, font_color='w', edge_color='gray')\n", "networkx.draw_networkx_edges(DG, pos)\n", "networkx.draw_networkx_edge_labels(G, pos, edge_labels);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Топологическая сортировка ациклического орграфа" ] }, { "cell_type": "code", "execution_count": 34, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "[0, 2, 3, 4]" ] }, "execution_count": 34, "metadata": {}, "output_type": "execute_result" } ], "source": [ "list(networkx.topological_sort(DG))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Алгоритм PageRank" ] }, { "cell_type": "code", "execution_count": 35, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "{0: 0.1284148072693334,\n", " 2: 0.18299091153140434,\n", " 3: 0.26076167126881566,\n", " 4: 0.42783260993044653}" ] }, "execution_count": 35, "metadata": {}, "output_type": "execute_result" } ], "source": [ "networkx.pagerank(DG)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Метрики вершин" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "В анализе сетей часто используют метрики центральности, числа, выражающие, насколько та или иная вершина или ребро «важны» в сети. Например, closeness centrality вершины это обратное от средней длины кратчайшего расстояния до других вершин. В треугольной сетке 4×5 от вершины (0,0) 2 других вершины расположены на расстоянии 1, 4 — 2, 5 — 3, 5 — 4, 1 — 5. Сумма расстояний до 17 вершин равна 50, closeness centrality = 17/50." ] }, { "cell_type": "code", "execution_count": 36, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "0.34\n" ] } ], "source": [ "G = networkx.triangular_lattice_graph(4, 5)\n", "print networkx.closeness_centrality(G)[(0,0)]" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "При нужде вершины могут быть переименованы согласно нумерации с 0." ] }, { "cell_type": "code", "execution_count": 37, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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48WLcuXMHfX19cHBwwB/+8AdlyK5atQr79+9HYWEh/P391fl21YrNZiu/jOvS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\n9wRVrVajsLAQWVlZqKqqQkxMD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JlMBgcHB73PPDU3NzOlqPfu3UN4eDji4+OxZMkS2ryu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\nQgghxCBQgkoIIYQQQgghxCBQgkoIIYQQQgghxCBQg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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "figure(figsize=(16,5))\n", "subplot(121)\n", "pos = networkx.nx_pydot.graphviz_layout(G, prog='sfdp')\n", "networkx.draw(G, pos, with_labels=True, node_color='w', edge_color='gray')\n", "\n", "subplot(122)\n", "G2 = networkx.convert_node_labels_to_integers(G)\n", "pos = networkx.nx_pydot.graphviz_layout(G2, prog='sfdp')\n", "networkx.draw(G2, pos, with_labels=True, node_color='w', edge_color='gray')" ] }, { "cell_type": "code", "execution_count": 38, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "\n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " 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0-00-10-20-30-41-01-11-21-31-42-02-12-22-32-43-03-23-4
approximate_current_flow_betweenness_centrality0.030.200.110.180.050.150.270.250.330.150.160.230.350.290.210.050.180.06
betweenness_centrality0.000.120.030.120.000.040.180.230.180.040.040.120.230.120.040.000.030.00
betweenness_centrality_source0.000.120.030.120.000.040.180.230.180.040.040.120.230.120.040.000.030.00
closeness_centrality0.340.460.420.460.340.400.530.570.530.400.400.460.570.460.400.340.420.34
communicability_betweenness_centrality0.030.240.110.240.030.140.380.420.380.140.140.240.420.240.140.030.110.03
current_flow_betweenness_centrality0.050.230.120.230.050.160.270.280.270.160.160.230.280.230.160.050.120.05
current_flow_closeness_centrality0.050.080.070.080.050.070.090.100.090.070.070.080.100.080.070.050.070.05
degree_centrality0.120.290.180.290.120.240.350.350.350.240.240.290.350.290.240.120.180.12
eigenvector_centrality0.090.250.190.250.090.190.340.370.340.190.190.250.370.250.190.090.190.09
eigenvector_centrality_numpy0.090.250.190.250.090.190.340.370.340.190.190.250.370.250.190.090.190.09
harmonic_centrality7.129.758.679.757.128.8310.8311.1710.838.838.839.7511.179.758.837.128.677.12
information_centrality0.050.080.070.080.050.070.090.100.090.070.070.080.100.080.070.050.070.05
katz_centrality0.180.250.210.250.180.230.280.290.280.230.230.250.290.250.230.180.210.18
katz_centrality_numpy0.180.250.210.250.180.230.280.290.280.230.230.250.290.250.230.180.210.18
load_centrality0.000.120.030.120.000.040.180.220.180.040.040.120.220.120.040.000.030.00
subgraph_centrality3.6211.126.4511.123.628.1916.6417.0716.648.198.1911.1217.0711.128.193.626.453.62
subgraph_centrality_exp3.6211.126.4511.123.628.1916.6417.0716.648.198.1911.1217.0711.128.193.626.453.62
" ], "text/plain": [ "" ] }, "execution_count": 38, "metadata": {}, "output_type": "execute_result" } ], "source": [ "metrics = {k: v for k, v in networkx.__dict__.items() if 'centrality' in k}\n", "\n", "table = {}\n", "for k, metric in metrics.items():\n", " result = trydefault(lambda: metric(G))\n", " if result and type(result) == dict and set(result.keys()) == set(list(G.nodes())):\n", " table[k] = {'-'.join(map(str, k)):v for k,v in result.items()}\n", "\n", "import pandas\n", "df = pandas.DataFrame(table)\n", "IPython.display.HTML(df.T.to_html(float_format='%.2f'))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Алгоритм Катхилла-Макки" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Алгоритм Катхилла-Макки умеет переставлять колонки матрицы корреляции, чтобы сильно коррелирующие колонки оказывались рядом." ] }, { "cell_type": "code", "execution_count": 39, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[1, 4, 10, 14, 0, 3, 6, 5, 9, 8, 13, 11, 2]\n" ] }, { "data": { "image/png": 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SpWjTpk3d1zVrlkRERER2YOTIkUhNTcWMGTOwY8ECSLGxwN69yptFRbcG7twJLFoEhIQA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\nAAF45ze10c60UQCo59dfPe93OKze0Y8/ljp3lu6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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "seed(1)\n", "N = 15\n", "A = rand(N, N)\n", "CA = corrcoef(A)\n", "\n", "G = networkx.Graph()\n", "for i in range(CA.shape[0]):\n", " for j in range(i + 1, CA.shape[1]):\n", " if CA[i,j] > 0.3:\n", " G.add_edge(i, j, weight=CA[i,j])\n", "\n", "reorder = list(networkx.utils.cuthill_mckee_ordering(G))\n", "print reorder\n", "\n", "figure(figsize=(16,5))\n", "subplot(141)\n", "imshow(A)\n", "subplot(142)\n", "imshow((CA > 0.3) * CA * (1 - eye(N)), vmin=0, vmax=1);\n", "subplot(143)\n", "networkx.draw(G, with_labels=True, node_color='r', font_color='w')\n", "subplot(144)\n", "imshow(networkx.adjacency_matrix(G, nodelist=reorder).todense(), vmin=0, vmax=1)\n", "colorbar();" ] } ], "metadata": { "kernelspec": { "display_name": "Python 2", "language": "python", "name": "python2" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 2 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython2", "version": "2.7.12" } }, "nbformat": 4, "nbformat_minor": 2 }