{ "cells": [ { "cell_type": "code", "execution_count": 68, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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FEhMTsXr1aly5cgUzZszA8uXLIZFIANwOAn9/f/hPnYiECDlsu4keOqeuugZBkXFISUtHSkoKfH19zX0aRPS/GAb0SGpqarBlyxZERkaisLAQL730EubMmYOFCxdi5oseUH28tFFPh4Q9B7Bq226U3CiDyxAHKEIX4YXnXAHcvrEsWxGN3cdOICcnh18ZET0mDAMyibq6OuzevRsrV65EXm4unhnQD7nbNjS6Ith56Bje+TQKa8Pfx7jRLtiw72soD3yL/NREDPrT7Q30dNU1EM8JgoPzs0g/csQSp0PU6TAMyKROnTqFsWPHYs/KjzF9wrhGx90DQ/DnYU5YFyG/+9rIv76LN8ZLsTIo4O5re49mYObyz5CVldWqntFE1DJcWkomtXnzZgwc0B/eno33Ofrj1i1kndViyvMNf7i/9JcxUOf+u8Fr0zylsO/fDyqVyqz1EtFtDAMyKfWJE5gkGd3kqqHrv1egrs6AAXZ9Grw+oE8fXCkra/CatbUVJknEyFSrzVovEd3GMCCTysvPh9jZ8YFjunRp+Od61KMLujQaJ3Yeity8PFOWR0TNYBiQyRgMBuj1evS07d7k8Sd794SVlQBXbtxs8Pq1m783uloAgF49bKHX67l1BdFjwDAgkxEIBBAKhajQVTV53KZrV0iGOeO7n35u8PqhH3+GdNSIRuPLK3UQCoWNlqYSkelZW7oA6lhcXVyQrS1s9niYzwy882kU3IY7QzpqBBL/+Q0uXL2GRdNfazQ2W1uEUa6u5iyXiP4Xw4BMSurhgX1f7ERtbV2TN5FnT34RN8orsCJ5G0pu3ITrUAd8Fb0CDk8NaDCutrYOaSdPwW7AU8jJycHo0aMf1ykQdUp8zoBMSqPRQCKRNPucgbHuPGfQr18/lJaWYuLEiQgNDcVrr73Gr42IzID/V5FJjRkzBl4TJiA8XglddU2r5tBV1yAiPhleEybg0qVL2L59OyorKzFt2jQMGzYM8fHxJu2tQEQMAzKDxKQklJTdRFBkXItXAhkMBgRFxqGk7CYSk5LQtWtX/PWvf8XJkyehVqsxZswYhIaGYuDAgQgPD8f58+fNdBZEnQvDgEzOyckJSqUSKWnpkK2INvoKQVddA9mKaKSkpUOpVDbapM7d3R07d+5EUVERFixYgI0bN8LR0RGzZs3CiRMnwG88iVqP9wzIbO7tZxAZHIBpntJm+xnsz1AjIj65Rf0MKisrsWXLFsTExECr1WLs2LEICwvDzJkz0bVrV3OcElGHxTAgs7q/09kkiRhi56Ho1cMW5ZU6ZGuLcDjrdqeziV5e2JCY2OJtqw0GA7755hsoFAocPnwY9vb2eP/997FgwQL07dvXTGdG1LEwDOix0Gg0UKlUyFSrkZuXB71eD6FQiFGurnCXSiGTyUyyO2lubi7WrFmDlJQUCAQCvPPOOwgJCcGIEY0faiOi/49hQBZhMBjMukS0tLQU69evx9q1a3H16lW8/PLLCA0NxZQpU9Dl/s2RiIhhQB2bXq/Hzp07oVAocPr0aYwcORIhISHw9/dH9+5N76FE1BkxDKhTqK+vx/Hjx6FQKPDll1/Czs4OCxcuRFBQEOzt7S1dHpHFMQyo0ykqKkJsbCyUSiVqamowe/ZshIaGws3NzdKlEVkMw4A6rfLycqhUKsTGxqK4uBjjxo1DWFgY3njjDVhbc9su6lz40Bl1Wr169UJoaCi0Wi327t0LKysrzJw5E05OTli9ejXKy8stXSLRY8MrA6J7ZGVlYc2aNdixYweEQiFkMhkWL17c4mcfiNobhgFREy5fvox169Zh/fr1uHHjBry9vREaGooJEyZwaSp1SAwDogeorq7Gtm3bEBMTg/z8fIjFYoSGhsLHxwdCodDS5RGZDMOAyAj19fU4fPgwFAoFvv76a/Tv3x9BQUFYtGgRBgwY8PAJiNo4hgFRC509exaxsbHYtGkTamtr4efnh5CQEIjFYkuXRtRqDAOiViorK8PGjRsRFxeH3377DV5eXggLCzNbNzZzb+FBnRv/ZhG1kp2dHSIiIlBUVIQdO3agqqrqbje2uLi4R+7GptFoIJfL4SaRQCQSwcrKCiKRCG4SCeRyOTQajYnOhIhXBkQmlZmZiZiYGOzevRs9evTA/PnzIZfL4eDgYPQc92/7PdlNDLGzI3radkeFrgrZ2kIcOnV722+vCROQmJTEpa/0yBgGRGZw4cIFrF27FomJiaioqMCMGTMQGhoKDw+PBy5NvbchUFRwILw93ZttCHQgIxPh8coWNQQiag7DgMiMdDodNm/ejDVr1qCgoABjx45FaGgo3n777Ubd2FJTU+Hv7w//qRORECGHbTfRw+evrkFQZBxS0tKRkpICX19fc50KdXAMA6LHwGAw4Ntvv4VCocChQ4fw9NNPIzg4+G43Nq1WC7FYjJkvekD18dIW3Sg2GAyQrYjG7mMnkJOTw6+MqFUYBkSPWV5eHmJiYu52Y5szZw6yT5/G9cu/4fSWhAZXBN//nItV23Yj66wWJdfLsPfz/8KbL3o0mlNXXQPxnCA4OD+L9CNHHufpUAfB1UREj5mrqys2btyIixcv4m9/+xv27NmDkz/+iMj3Axt9NaSrqcFo5yGIWxr0wDltu4kQGRyAI0ePcpURtQr36SWykH79+uHvf/87Ll++jC9374K3p3ujMa9Ix+IV6Vij5pvmKYV9/35QqVQm6SdNnQuvDIgs7MeTJ/HS2OeaXDXUEtbWVpgkESNTrTZRZdSZMAyILCwvPx9iZ0eTzCV2HorcvDyTzEWdC8OAyIIMBgP0ej162nY3yXy9ethCr9fDYDCYZD7qPBgGRBYkEAggFApRoasyyXzllToIhULuYUQtxr8xRBbm6uKCbG2hSebK1hZhlKurSeaizoVhQGRhUg8PHDqVjdraukbHKquqcbqgEKcLbodF8eUrOF1QiAtXrjUaW1tbh0OnTsNdKjV7zdTxMAyILEwmk+HStVIcyMhsdOzUmQKMmfs+xsx9HwCwNDYRY+a+j0+StjQauz9Djcul13H06FHs3LkTtbW1Zq+dOg4+gUzUBkz08sJ5bQGytyYYtSfR/e48gdyj75N48sknkZ6ejkGDBkEul2P+/Pno3bu3GaqmjoRXBkRtQGJSEkrKbiIoMq7FK4EMBgOCIuNQUnYTe/bsweHDh3H69Gl4eXnho48+wsCBA7F48WIUFprmvgR1TAwDojbAyckJSqUSKWnpkK2Ihq66xqj36aprIFsRjZS0dCiVyrub1InFYmzatAnnz5/HkiVLsH37djg7O2P69On4/vvvwS8E6H78moioDbm3n0FkcACmeUqb7WewP0ONiPhko/oZVFdXY9u2bVAoFPjll18wZswYhIWFYdasWbCxsTHnKVE7wTAgamPu73Q2SSKG2HkoevWwRXmlDtnaIhzOut3pbKKXFzYkJhq9bXV9fT3+9a9/QaFQIC0t7e5W2gsXLoSdnZ2Zz4zaMoYBURul0WigUqmQqVYjNy8Per0eQqEQo1xd4S6VQiaTPdKGdPn5+YiJicHWrVshEAgwb948hISEYNiwYSY8C2ovGAZE7YTBYDDLk8WlpaVYv3491q5di6tXr+K1117DkiVL4OXl9cAWndSxMAyICACg1+uxfft2KBQK5OTkYPTo0QgLC4OPjw+EQqGlyyMzYxgQUQP19fVIT0+HQqHAV199hQEDBiAoKAjvvfce+vXrZ+nyyEwYBkTUrLNnz2LNmjXYtGkTDAYD5syZg9DQULi4uFi6NDIxhgERPdSNGzeQmJiI+Ph4XL58GVOnTkVYWBimTJnC+wodBB86I6KH6tu3L5YvX47i4mKkpKSgtLQUL7/88t1+ztXV1ZYukR4RrwyIqMXq6+tx/PhxKBQKfPnll+jbty/ee+89BAUF4U9/+pOly6NWYBgQ0SM5d+4cYmNjkZycjFu3bsHHxwdhYWEQi8WWLo1agGFARCbx+++/Y+PGjYiNjcXFixcxceJEhIWF4dVXX2XntXaA/4WIyCR69+6NZcuWoaioCDt27IBOp4O3tzdGjBiBdevWQafTWbpEegBeGRCR2ajVaqxevRp79+5Fr169sHDhQgQHB8Pe3t6kn2Oup7M7E/7bIyKzkUql2LVrFwoLCyGTyZCQkIDBgwfD398fWVlZrZ5Xo9FALpfDTSKBSCSClZUVRCIR3CQSyOVyaDQaE55F58ArAyJ6bCoqKpCcnIzY2FgUFxdj/PjxCAsLg7e3N6ysGm/Vfb/7d3Sd7CaG2NkRPW27o0JXhWxtIQ6dur2jq9eECUhMSjJ6R9fOjmFARI9dXV0dvvzySygUCmRkZMDR0RGLFy+GTCbDE0880eR77u31EBUcCG9P92Z7PRzIyER4vNKoXg90G8OAiCzqp59+gkKhwBdffIEePXrg3XffhVwux6BBg+6OSU1Nhb+/P/ynTkRChNyoPtG66hoERcYhJS0dKSkp8PX1NedptHsMAyJqEy5evIj4+HgkJibiP//5D9566y0sWbIEdnZ2EIvFmPmiB1QfL4VAIMDKzTuw79gPOHP+N3QT2sBj1Eh8HhSAYQ7PNJjTYDBAtiIau4+dQE5ODr8yegCGARG1KZWVldi8eTNiYmJw7tw59OndG31suyF767q7VwSvhH6E2S+9iLEjnkVtnQF/X78JuUW/Ij81sdFVg666BuI5QXBwfhbpR45Y4pTaBYYBEbVJBoMBMTExWLp0Kfas/BjTJ4xrdmzpzd8x4NW/4mhCFMb/eVSj43uPZmDm8s+QlZX1SN3hOjIuLSWiNkkgEKC4uBgDB/SHt6f7A8eWV1YBAOx6Nn3zeZqnFPb9+0GlUpm8zo6CYUBEbZb6xAlMkoxuctXQHfX19VgauwGeYhe4Og5ucoy1tRUmScTIVKvNVGn7xzAgojYrLz8fYmfHB44JXrUWOeeKkfo/Hz5wnNh5KHLz8kxZXodibekCiIiaYjAYoNfr0dO2e7Nj5NEJOJCRiWPrVmFg/we35OzVwxZ6vZ5bVzSDYUBEbZJAIIBQKESFrqrRsfr6esijE/DPYydwJCESQ55+eA+F8kodhEIhg6AZDAMiarNcXVyQrS1s9Pr7q9Zi+7+O4J//9xM80b0brtwoAwD0srVFN5GwybmytUVwGTnSrPW2Z1xaSkRtllwux74vdqJ4z6YGN5EF0pebHJ/89yWY99qURq/X1tbhmTf8cLOyCvPnz0dAQADGjBnD/s33YBgQUZul0WggkUge+pzBw9x5zkAmk+Hbb79FSUkJxGIxAgMD4efnBzs7OxNW3T4xDIioTZvo5YXz2gJkb00wak+i+93/BHJtbS3S0tKgVCpx4MABCAQCTJ8+HYGBgZg0aVKnvafAMCCiNu3cuXMYPXp0g72JjPWwvYmuXr2KrVu3QqlU4syZMxg0aBBkMhlkMhkcHBxMfSptGsOAiNq87du3w8/Pr9W7lm7btu2B21jX19cjMzMTycnJd1t2Tpo0CYGBgXjzzTchErX8iqS9YRgQUbtwbz+DyOAATPOUNtvPYH+GGhHxya3qZ1BZWYldu3YhOTkZGRkZ6NOnD/z8/BAYGIjnnnvOlKfUpjAMiKjduL/T2SSJGGLnoejVwxbllTpka4twOOt2p7OJXl7YkJj4SNtWnz17FiqVCps3b8aVK1fw5z//GYGBgfD19UWfPn1MeGaWxzAgonZHo9FApVIhU61Gbl4e9Ho9hEIhRrm6wl0qhUwmM+nupLdu3cI333yD5ORkHDx4ENbW1njrrbcQEBAALy+vDnHTmWFARO3e49xi4sqVK9iyZQuUSiUKCgowePBgyGQyzJs3r0F3tvaGYUBE1Ar19fU4ceIElEolvvjiC1RVVWHKlCkICAjAG2+8AaGw6SehTcXUAdj+r22IiCygS5cuGDduHJKTk1FSUoKkpCRUVFRg9uzZsLe3R2hoKHJyckz2eRqNBnK5HG4SCUQiEaysrCASieAmkUAul0Oj0TzS/LwyICIyoX//+99ITk7Gli1bcO3aNbi5uSEgIAA+Pj7o3bt3i+e7/6b5ZDcxxM6O6GnbHRW6KmRrC3Ho1O2b5l4TJiAxKalVN80ZBkREZnDr1i189dVXUCqV+Prrr2FjY4OZM2ciMDC/i4HfAAADpklEQVQQ48ePN+ornnuX00YFB8Lb073Z5bQHMjIRHq9s1XJagGFARGR2ly9fxpYtW5CcnAytVouhQ4ciICAAc+fOxcCBA5t8T2pqKvz9/Vv9oF1KSgp8fX2NrpFhQET0mNTX1+P48eNITk7Grl27UFNTg6lTpyIwMBDe3t6wsbEBAGi1WojFYrNswdEchgERkQVUVFRg586dUCqVOHnyJJ588knMmTMHgYGBkAcH48K5Apze0nBzvnV7D2L93oP4teQaAMBl6CB8HOCHV6RjG8x9/+Z8xmAYEBFZWH5+/t2bztevXweAJrftPnA8E1ZWAjgNfBoAsPnrQ1i1bTc0m+PhMnRwg7F3tu3Oysoy6gE8hgERURvxxx9/4M0338Tpn07i/L6tTd4svl/fKTMRGTwfgdMaNvypra3DkLfmYfqs2YiLi3voPGx7SUTURtjY2ODa1auY8vyYhwZBXV0ddqUfh65GD+moEY2OW1tbYZJEjEy12qjPZhgQEbUhefn58HthXrPHc88Vw2NBGGr++AM9unXD3s8/xsghTfdeEDsPxc70zUZ9Lp9AJiJqIwwGA/R6PXradm92zDCHgfh5cwLUSTFYNP01zFsRjV+Kzzc5tlcPW+j1ehgMhod+NsOAiKiNEAgEEAqFqNBVNTvGpmtXOD3zNNxGPIuVQQEQOw3Bmp3/bHJseaUOQqHQqKWpDAMiojbE1cUF2dpCo8fX1wN/3LrV5LFsbRFGuboaNQ/DgIioDZF6eODQqWzU1tY1Ova3dSocP52HX0uuIPdcMT5avwlHf86B79SJjcbW1tbhcFY23KVSoz6XYUBE1IbIZDJculaKAxmZjY5dLbuJdz6NxPDZ72Ly4g/xY/4ZfKP4DC893/g5gv0Zaly6VgqZTGbU5/I5AyKiNmailxfOawuQvTXBqD2J7teaJ5B5ZUBE1MYkJiWhpOwmgiLjjFoJdC+DwYCgyDiUlN1EYlKS0e9jGBARtTFOTk5QKpVISUuHbEU0dNU1Rr1PV10D2YpopKSlQ6lUtqivAb8mIiJqo+7tZxAZHIBpntJm+xnsz1AjIj6Z/QyIiDqi+zudTZKIIXYeil49bFFeqUO2tgiHs253Opvo5YUNiYnsdEZE1FFpNBqoVCpkqtXIzcuDXq+HUCjEKFdXuEulkMlkRu1O2hyGARFRO2QwGFrU9OZhGAZERMTVRERExDAgIiIwDIiICAwDIiICw4CIiMAwICIiMAyIiAjA/wOfB6kVeodPvgAAAABJRU5ErkJggg==", "text/plain": [ "Graphics object consisting of 12 graphics primitives" ] }, "execution_count": 68, "metadata": { }, "output_type": "execute_result" }, { "data": { "image/png": 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cph9IXYs6CySffaBXQIFuaPgpnwskqato9X/d1tbWSEhMRGZmJma9Ph8/Fpfhvf2Hsfx/g/He/sP4sbgMs16fj8zMTMQnJDQ7Pc/IyAgrV66ERCLB4sWLsW7dOjg4OODMmTOtDZG6oKYWSA54rjcMDQ1w97eyeseLyx6o9BbqcIEkdRWt6hk8zdnZuV49l7Y+QfXv3x8hISH429/+hlWrVmH69OmYPn06goODMXLkyLaGS13AmJdfbnCBpHH37nAZZYNzP2TXm2V0/kI2fP7YcDVeLpCkrkLjjzuaeoKyt7dHfHw8YmNj8eOPP8LW1hZr165FeXm5RtqnzqW2thbffvstRCIR8vLz8e+Miw2+y1otmo2wE//GwZNxuHzjJlZ/vh837xXjrVmqa17qFkhOcHVtj59ApFMduu/brVs3zJ49G5cvX8bmzZuxb98+2NjY4F//+hdksoZfWlPXIZVKce7cOSxduhQWFhaYOXMmCgoKsGLFCtwrfYCTqRkq35n/ymQEv/M3BBw8Aqc33kbKpTyc3hGA4YNVF4idSE3H7eIS+Pr6tsfPIdKpFq0z0LXbt29jw4YNiIiIgLOzM3bu3Al3d3ddh0XtSC6XIy0tDVFRUfj6669RXFwMKysriEQiCIVC2NraAtDMAklu0UpdiV4lgzrp6elYtWoVfvjhBwiFQgQFBWHYsGG6Dou0RKFQIDs7G1FRUYiKisKtW7cwZMgQzJ8/HyKRCC4uLipz/jW1QDI3N5cbtFOXoJfJAHjyF/bLL7/Ehg0bUFFRgQ0bNmDt2rUsbdGJXLlyBWKxGFFRUbh27RoGDBiAefPmQSgUwt3dvdkbvFgsxsKFC9WqWlqnqroGfkG7ERGXoLIuhqgz09tkUKeiogJbt25FcHAwBg8ejG3btmHevHlcHaqnbty4gejoaIjFYuTk5KB3796YNWsWRCIRvLy8Wlzz/+n9DIJWLoWPu2uj+xmcSE3H+pCDuFNaprH9DIj0hd4ngzoSiQRr167FiRMnMGnSJOzcuROOjo66DovUcPfuXRw9ehRRUVFIT0+HqakpZsyYAZFIhGnTpsHUtOVj/k97dqez5hZI7m9igSRRZ9VpkkGduLg4rF69GlevXsWbb76JgIAAPP/887oOi55RWlqKY8eOQSwWIykpCYaGhpg6dSqEQiF8fHzQq1cvjV+zbg/kjPR05OXnK/dAtrezwwRXV53sgUzUUXS6ZAAAjx8/xr59+/Dhhx9CoVDgo48+wttvv81tBXWssrIS3377LaKiohAXFwepVApPT0+IRCLMnj0b/fr1a9d4WGKC6L86ZTKoU1JSgg8++AChoaEYOXIkPv/8c0ydOlXXYXUpNTU1OHPmDMRiMU6dOoXq6mq4urpCKBRi3rx5GDx4sK5DJCJ08mRQJycnB6tWrUJycjL+/Oc/47PPPoONjY2uw+q0Hj9+jISEBIjFYhw/fhwVFRUQCAQQiUSYP38+XnzxRV2HSETP6BLJAHgyVz02NhZr165FUVER3nnnHbz//vvo3bu3rkPrFORyOVJTU5WLwe7fvw8bGxvlYrCXX35Z1yESURO6TDKoU11dje3btyMwMBC9evVCYGAglixZwrHjVlAoFMjMzIRYLEZ0dDRu376NYcOGQSgUQigUwsnJiVN8ifREl0sGdW7duoUNGzYgMjISLi4u2LVrF9zc3HQdll4oKChQrgYuLCzEwIEDMW/ePIhEIri6ujKxEumhLpsM6vznP//BP/7xD2RlZWHBggX49NNPMXToUF2H1eFcv35dmQDy8vLQp08fzJkzB0KhEJ6enjAyanM1dCLSoS6fDIAn492HDh3Cxo0bUVlZiY0bN2LNmjUwMzPTdWg6VVRUhKNHj0IsFuPChQvo0aMHfHx8IBKJMHXqVJiYmOg6RCLSECaDp1RUVCAgIAA7d+7EkCFDsH37dsyePbtLjXv/9ttviI2NhVgsRnJyMoyMjDBt2jSIRCLMmDED5ubmug6RiLSAyaAB165dw7vvvovTp0/Dw8MDO3fuhIODg67D0pqKigrlYrCzZ89CLpfD29sbIpEIM2fORN++DW8JSUSdB5NBE86cOYPVq1dDIpFgxYoVCAgIwIABA3QdlkZUV1fju+++g1gsxunTp1FTU4OJEydCJBJh7ty5sLBQ3eyFiDovJoNmPH78GCEhIdi8eTO6deuGzZs34+9//7telrZ4/Pgxzp07h6ioKHzzzTf4/fff4ezsDKFQiPnz58PS0lLXIRKRjjAZqKm4uBibNm3CgQMHMHr0aHz++eeYMmVKm9psj9o4MpkMKSkpEIvFiImJQWlpKUaPHq1cDTxq1CitXp+I9AOTQQtlZ2dj1apVSElJgY+PD3bs2KF2ueO6qpnpaWnILyhQVs20s7WFq5ubxqpmKhQKXLhwAVFRUTh69CiKioowfPhwCIVCiEQiODg4dKmX4kTUPCaDVlAoFPj666+xdu1a3L17F6tXr8b777/faNnlZ+vpvzJWAIGNFXqb90BF1UPkSH7C+YtP6ul7engg9MCBVtXTz8vLU+4M9vPPP2PQoEF4/fXXIRQKMWHCBCYAImoUk0EbPHz4ENu2bcOnn36KPn36IDAwEG+88Ua9oZ+nd9ratnIZZrhPaHSnrZOpGVgXEtainbYKCwuVi8EKCgrQt29fzJkzByKRCJMnT4ahoeq1iIiexWSgATdv3sT69esRHR2NcePGYdeuXZgwYQIiIyOxaNGiVu/BGxERgQULFqic8+uvvyoXg128eBHm5uaYOXMmhEIhpkyZAmNjY238TCLqxJgMNCglJQWrVq1CdnY2fHx8cO7sWcz1mIjwTWuUvYXvs/Ow/UgMMq9KcOd+KY598gFmTq5fE0kul8M3YAdiktOQm5sLa2trlJSUICYmBlFRUUhJSYGxsTGmT58OkUiE1157DT169NDFTyaiToLJQMNkMhnCw8Phv3IlLPr2QX5kaL0ewZn0H/Cf3AI4j7LG3I1bGkwGwJMegmDx32Ha+zkMs7TE+fPnAQCvvvoqhEIhZs6ciT59+rTb7yKizo3VxTTM0NAQTk5OqKmtxWer/qYyNDTNdRymuY5rth1zM1MErVyGuRu3wMTUFCEhIZgzZw73cyYirWAy0IJDhw5hqMVAzHCf0KZ2fNxdMWTgAEycOBFvvfWWhqIjIlLFwvNakJ6WBm8XhwZnDbWEkZEhvF0ckZGerqHIiIgaxmSgBfkFBRDYWGmkLYHNCOTl52ukLSKixjAZaJhcLkdtbS16m2tmdk+fnuaora2FXC7XSHtERA1hMtAwAwMDmJiYoKLqoUbaK6+sgomJCbeSJCKt4gtkLbCztUWO5KcGP6t8WI3CX4uUf/656C4uXfsJ/Xr3guWggSrn50iuw97OTmuxEhEBTAZa4ermhuNHoyGVylReIl+8cg1eb/9T+ec1u0IBAH+d/grCN62td65UKkN8Zg5mvT5f+0ETUZfGRWdakJWVBRcXF8QGbsIsj4mtbudYUirmbtyCzMxMjVQzJSJqDJOBlnh5euIXyTXkfLVXrZpEz3qyAtkPw21GIiExUQsREhH9F99KaknogQO4U1oGv6DdLZ4JJJfL4Re0G3dKyxB64ICWIiQi+i8mAy2xtrZGWFgYIuISsCRgO6qqa9T6XlV1DXwDdiAiLgFhYWGt2teAiKilOEykZVu3bsUHH2yC5SALbPdfDh9310b3MziRmo71IQdbtJ8BEZEmMBlokUKhwOTJk3Hnzh0MHTIEScnJGDLweXi7CCCwGYE+Pc1RXlmFHMl1xGc+2enMy9MT+0ND2SMgonbFZKBFsbGxmDt3LuLi4jBlyhTlHsgZ6enIy89X7oFsb2eHCa6uGtsDmYiopZgMtKS2thZjxozB6NGjcfr06QbPkcvlXFlMRB0CF51pye7du/HLL7/g1KlTjZ7DREBEHQV7BlpQUlICa2trLF68GCEhIboOh4ioWUwGWuDn54fIyEgUFhZiwIABug6HiKhZHCbSsIKCAuzfvx/btm1jIiAivcGegYb96U9/wk8//YSCggIYGxvrOhwiIrWwZ6BBZ86cQVxcHI4fP85EQER6hT0DDXn8+DEEAgEsLCyQkJCAbt266TokIiK1sWegIaGhobhy5QoiIyOZCIhI77BnoAEPHjyAtbU1/vKXvyAsLEzX4RARtRhXPWnAli1bUFNTgy1btug6FCKiVmEyaKPCwkLs2rULGzZswODBg3UdDhFRq3CYqI1mz56Nixcv4urVqzAzM9N1OERErcIXyG2QlJSE48eP48iRI0wERKTX2DNoJZlMhnHjxsHY2Bjp6emcQUREeo09g1b68ssvkZ2djbS0NCYCItJ77Bm0QmVlJWxsbODh4QGxWKzrcIiI2oyziVohKCgIZWVl+OSTT3QdChGRRjAZtNCtW7ewfft2vPvuuxg+fLiuwyEi0ggOE7XQokWLcP78eUgkEvTq1UvX4RARaQRfILfAhQsXcOTIERw4cICJgIg6FfYM1KRQKODu7o6qqipkZmbC0NBQ1yEREWkMewZqOnr0KNLS0hAfH89EQESdDnsGaqipqcHo0aMhEAjw7bff6jocIiKNY89ADcHBwbh9+zbOnj2r61CIiLSCPYNm3Lt3D9bW1li+fDmCg4N1HQ4RkVYwGTRjxYoViImJQWFhIfr166frcIiItILDRE3Izc1FWFgYgoODmQiIqFNjz6ARCoUCr776Kn799Vfk5eWhe/fuug6JiEhr2DNoxKlTpxAfH4+TJ08yERBRp8eeQQMePXoEe3t7WFpa4uzZsyxRTUSdHnsGDdi3bx8KCwsRExPDREBEXQJ7Bs8oLS2FtbU15s2bh/379+s6HCKidsES1s/4+OOPIZVK8fHHH+s6FCKidsNk8JSrV69iz549eO+992BhYaHrcIiI2g2HiZ7i4+ODvLw8XL58GaamproOh4io3fAF8v9XN400OjqaiYCIuhz2DADIZDI4OzujV69eSElJ4QwiIupy2DMAcPDgQeTm5uLChQtMBETUJXX5nkFFRQVsbGwwZcoUfPXVV7oOh4hIJ7r8bKLAwED8/vvvCAwM1HUoREQ606WTwY0bNxAcHIx169Zh6NChug6HiEhnuvQwkVAoxPfff49r166hZ8+eug6HiEhnuuwL5LS0NERHRyM8PJyJgIi6vC7ZM5DL5XB1dYVUKsUPP/wAA4MuPVpGRNQ1ewZisRgXLlxAcnIyEwEREbpgz+Dhw4cYNWoUxo8fj9jYWF2HQ0TUIXS5x+IdO3aguLgYQUFBug6FiKjD6FI9g6KiItjY2MDPzw/btm3TdThERB1Gl0oGvr6+OHXqFCQSCZ577jldh0NE1GF0mRfIWVlZOHz4MEJCQpgIiIie0SV6BgqFAp6enigpKUFOTg6MjLpMDiQiUkuXuCt+8803SE5OxpkzZ5gIiIga0Ol7BrW1tbC1tYWNjQ3OnDmj63CIiDqkTv+YHBISghs3buDEiRO6DoWIqMPqVD0DuVxeb0VxSUkJbGxssHDhQuzZs0eHkRERdWx63TPIyspCeHg40tPSkF9QgNraWpiYmMDO1haubm64d+8eAGDz5s06jpSIqGPTy2RQWFiIFW++icSkJAwZ+DxeGSvAwj8uQW/zHqioeogcyU84Fh2FopL7sLG2xoMHDzBgwABdh01E1GHp3TBRZGQkli9fjsH9+mLbymWY4T4BRkaGKudJpTKcTM3AupAw3CktQ1hYGEQikQ4iJiLq+PQqGURGRmLRokVYNNULe9f7w9zMtNnvVFXXwC9oNyLiEhAREYEFCxa0Q6RERPpFb5KBRCKBQCDA3MluCN+0pkWlp+VyOXwDdiAmOQ25ubmwtrbWYqRERPpHb5KBl6cnbhZew6Uv9yp7BIGHo3A8+T+48suvMDMxhpv9GHzitxSjhg9T+X5VdQ0Ei/0w3GYkEhIT2zt8IqIOTS9KWGdmZiIxKQlBby+rNzT0fXYe/ObMQPqBYJzdGQipVIap7/wPqqprVNowNzNF0MqlSExKQlZWVnuGT0TU4elFz8Df3x/ffH0U12PCG3xZXKek7AEspguRtHcbJjnZq3wulcrw0pwlmPX6fOzevVubIRMR6RW96Bmkp6XB28WhyUTnynSDAAACSklEQVQAAOWVDwEA/Xr3avBzIyNDeLsIkJGervEYiYj0mV4kg/yCAghsrJo8R6FQYM2u/XAX2MLO6sVGzxPYjEBefr6GIyQi0m8dftGZXC5HbW0tepv3aPK8ldv3ILfwZ6Ts39HkeX16mqO2tlaldAURUVfW4ZOBgYEBTExMUFH1sNFz/HfsxcnUDCTv246hA59vsr3yyiqYmJgwERARPaXDJwMAsLO1RY7kJ5XjCoUC/jv24pvkNCTuDcJLLwxqtq0cyXXY29lpI0wiIr2lF4/Hrm5uOH8xB1KprN7xt7fvwZG4BBzZ/E/06mGGu7+V4u5vpaiuqW2wHalUhvjMHExwdW2PsImI9IZeTC3NysqCi4sLYgM3YZbHROVxA9c/NXj+wfffxZLXpqgcP5aUirkbtyAzMxPOzs5ai5eISN/oRTIAnqxA/kVyDTlf7VWrJtGzuAKZiKhxejFMBAChBw7gTmkZ/IJ2Qy6Xt+i7crkcfkG7cae0DKEHDmgpQiIi/aU3ycDa2hphYWGIiEuAb8COBktONKSquga+ATsQEZeAsLAwFqkjImqA3gwT1Xl6P4OglUvh4+7a6H4GJ1LTsT7kIPczICJqht4lA0B1pzNvFwEENiPQp6c5yiurkCO5jvjMHNwuLoGXpyf2h4ayR0BE1AS9TAZ16vZAzkhPR15+vnIPZHs7O0xwdYWvry9nDRERqUGvk8GzWGKCiKh1OlUyICKi1uFjNBERMRkQERGTARERgcmAiIjAZEBERGAyICIiMBkQERGA/wcxa+Ej2fGghgAAAABJRU5ErkJggg==", "text/plain": [ "Graphics object consisting of 12 graphics primitives" ] }, "execution_count": 68, "metadata": { }, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "Graphics object consisting of 12 graphics primitives" ] }, "execution_count": 68, "metadata": { }, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "Graphics object consisting of 12 graphics primitives" ] }, "execution_count": 68, "metadata": { }, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "Graphics object consisting of 12 graphics primitives" ] }, "execution_count": 68, "metadata": { }, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "Graphics object consisting of 12 graphics primitives" ] }, "execution_count": 68, "metadata": { }, "output_type": "execute_result" } ], "source": [ "from sage.graphs.trees import TreeIterator\n", "drevo = []\n", "for G in TreeIterator(6):\n", " if G.is_connected():\n", " if len(G.cycle_basis('vertex')) == 0:\n", " drevo.append(G)\n", " G.show()" ] }, { "cell_type": "code", "execution_count": 69, "metadata": { "collapsed": false }, "outputs": [ ], "source": [ "def AZIvrednost(graf, alpha): #Izračun AZI vrednost za nek graf, len(graf[u]) nam da dolžino seznama sosedovza vozlišče u, torej je to stopnja vozlišča u\n", " vsota = 0\n", " for u in graf:\n", " for v in graf[u]:\n", " vsota = vsota + ((len(graf[u]) *len(graf[v]))/(len(graf[u]) + len(graf[v]) - 2))^alpha\n", " return vsota/2" ] }, { "cell_type": "code", "execution_count": 70, "metadata": { "collapsed": false }, "outputs": [ ], "source": [ "alpha = -3\n", "AZI_vred = {}\n", "for G in drevo:\n", " a = AZIvrednost(G, alpha)\n", " AZI_vred[a] = (G)" ] }, { "cell_type": "code", "execution_count": 71, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "64/25\n" ] }, { "data": { "image/png": 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", "text/plain": [ "Graph on 6 vertices" ] }, "execution_count": 71, "metadata": { }, "output_type": "execute_result" } ], "source": [ "\n", "print(max(AZI_vred))\n", "AZI_vred[max(AZI_vred)]" ] }, { "cell_type": "code", "execution_count": 72, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "5/8\n" ] }, { "data": { "image/png": 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", "text/plain": [ "Graph on 6 vertices" ] }, "execution_count": 72, "metadata": { }, "output_type": "execute_result" } ], "source": [ "\n", "print(min(AZI_vred))\n", "AZI_vred[min(AZI_vred)]" ] }, { "cell_type": "code", "execution_count": 73, "metadata": { "collapsed": false }, "outputs": [ ], "source": [ "alpha = -2\n", "AZI_vred = {}\n", "for G in drevo:\n", " a = AZIvrednost(G, alpha)\n", " AZI_vred[a] = (G)" ] }, { "cell_type": "code", "execution_count": 74, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "16/5\n" ] }, { "data": { "image/png": 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", "text/plain": [ "Graph on 6 vertices" ] }, "execution_count": 74, "metadata": { }, "output_type": "execute_result" } ], "source": [ "print(max(AZI_vred))\n", "AZI_vred[max(AZI_vred)]" ] }, { "cell_type": "code", "execution_count": 75, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "5/4\n" ] }, { "data": { "image/png": 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", "text/plain": [ "Graph on 6 vertices" ] }, "execution_count": 75, "metadata": { }, "output_type": "execute_result" } ], "source": [ "print(min(AZI_vred))\n", "AZI_vred[min(AZI_vred)]" ] }, { "cell_type": "code", "execution_count": 76, "metadata": { "collapsed": false }, "outputs": [ ], "source": [ "alpha = -1\n", "AZI_vred = {}\n", "for G in drevo:\n", " a = AZIvrednost(G, alpha)\n", " AZI_vred[a] = (G)" ] }, { "cell_type": "code", "execution_count": 77, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "4\n" ] }, { "data": { "image/png": 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w9vbmbBMDwTNwIh1RWFiIpk2bokePHli3bl3R67w93nDxvzqRjjhw4ACuX7+OSZMmFXud5W24eAZOpCM++OAD3LlzB3/99ZfYUUhLcAycSAdcvnwZhw4dKjZ0QsR/exHpgLVr16JGjRoYMmSI2FFIi7DAibScSqXC+vXrMXLkSFhYvPr54GQ4WOBEWi40NBR37tzBhAkTxI5CWoYXMYm0XNeuXWFsbIxwPoyKXsCLmERaLCkpCX/++Se2b98udhTSQhxCIdJifn5+qFevHv7v//5P7CikhVjgRFoqJycHmzZtwpgxY2Bqaip2HNJCLHAiLbVt2zY8fvwY48ePFzsKaSlexCTSQoIgoH379rCzs8P+/fvFjkNaihcxibTQX3/9hfj4eJY3vRTPwIm00OjRoxEWFob09HQYG5dcuIEI4Bg4kdbJzs7Gtm3bMH78eJY3vRQLnEjLbNy4EQUFBRgzZozYUUjLcQiFSIsIgoBWrVrh7bffxrZt28SOQ1qOZ+BEWiQiIgLJycmYOHGi2FFIB/AMnEiLDBo0CImJiUhKSoJEIhE7Dmk5noETaYlbt25h9+7dmDhxIsubyoQFTqQlAgMDUa1aNYwYMULsKKQj9G4IhSt0ky4qLCxEs2bN0L17dwQGBoodh3SEzjddfHw8fH190d7FBVKpFMbGxpBKpWjv4gJfX1/Ex8eLHZHolQ4ePIhr166VWHGe6GV09gw8LS0N48eNQ3hEBBra1kX39gooHJvD2tICj3KfICE1HcdOJyAj6w7c3dzgHxAABwcHsWMTafThhx/i9u3bOH36tNhRSIfo5LNQQkJCMHbsWNjZ1MKuhXPQt0tHmJiUvGOtoKAQ+6JiMXNlINq2bYvAwEAMHTpUhMREpbt8+TIOHjyIgIAAsaOQjtG5Ag8JCYGXlxe8enpg9SxfWJpLS93XxMQY/d06o0cHF/gsWoHhw4dDEAQMGzasChMTvVxAQACsra254jyVm04NoaSmpkKhUGBgt04ImjOjXBcr1Wo1vBcsxc7IaJw7d47DKaQVnj59isaNG2Pw4MFYvny52HFIx+jURcwJ48ejQe1aWD3Lt0R5nzjzN/p9PhcN+w6DkWsv7ImMLrbdyMgIq2f5ws6mFsaPG1eVsYlKFRoaiqysLN55Sa9FZwo8Li4O4RERWDR5jMZhk1ylEm0dm2LFDJ9Sj2FpLsWiKaMRHhHB2SmkFfz8/NCtWze0bt1a7Cikg3RmDHzDhg1oVM8Wfbt01Li9t+s76O36ziuP06+LKxra1kVQUBCcnZ0rOiZRmZ0/fx6RkZHYunWr2FFIR+nMGXhMdDQ8XdpqnG1SHiYmxvB0USA2JqaCkhG9Hj8/P9ja2uLjjz8WOwrpKJ0p8MSkJCgcm1fIsRSOzfB3YmKFHIvodeTm5nLFeXpjOlHgarUaKpUK1pYWFXK8GlaWUKlUUKvVFXI8ovLatm0bHj16xBXn6Y3oRIEbGRnBzMwMj3KfVMjxHubkwszMjM9MIdGsWbMGvXv3hr29vdhRSIfpzEVMuUyGhNT0CjlWQuoltJHLK+RYROV1+vRpxMXFYd++fWJHIR2nM6egrp064djpBBQUFGrcnvMkD2dT0nE25Z+Sv3zzFs6mpOParaxi+xUUFOJ4XAI6urpWemYiTdasWYO33noLvXv3FjsK6TidKXBvb29kZN3BvqhYjdtPX0yB88jJcB45GQAwY7k/nEdOxtyATcX22xsVg4ysO/D29q70zEQvys7OxtatW7niPFUInbqV3sPdHVdTU5CwefVLn4FSmtw8JRSf+qCJoxPCwsMrISHRyy1fvhwzZszA9evXUb9+fbHjkI7TmTNwAPAPCEDm/Wz4LFpR7hkkarUaExctR+a9+/DnU99IBIIgwM/PD/3792d5U4XQqQJ3cHBAYGAggg+HwXvBUuTmKcv0vtw8JUYtWIoth8JQy8YGlpaWlZyUqKTIyEhcuHCBizZQhdGpAgeAoUOHIjg4GDsjo6H41AehEVGlXtgsKChEaEQUFJ/6YFdkNJYuXQojIyN07doV165dq+LkZOjWrFmDFi1awM3NTewopCd0agz8eS+uyOPpooDCsRlqWFniYU4uElIv4XjcPyvyeLi7Y62/PxwcHHD58mV4eHhAEASEhYWhWbNmYn8rZABu376NRo0aYfHixZg2bZrYcUhP6GyBPxMfH4+goCDExsTg78REqFQqmJmZoY1cjo6urvD29i7x0Krr16/D09MTT548wfHjx9GiRQuR0pOh+PHHH/H9998jIyMDtWrVEjsO6QmdL/AXlXVV+szMTHTv3h337t3DsWPHIOeNPVRJnq047+npifXr14sdh/SIzo2Bv0pZb4+3s7NDREQE6tevDzc3N5w5c6aSk5GhOnToEK5du8ZFG6jC6d0ZeHndv38fvXr1QmpqKg4dOoQOHTqIHYn0TJ8+fZCZmYnTp09DIpGIHYf0iN6dgZeXjY0Njh49itatW+P9999HVFSU2JFIj1y5cgV//PEHJk2axPKmCmfwBQ4ANWrUwOHDh9G+fXv07NkTx48fFzsS6YmAgABUr14dQ4cOFTsK6SEW+H9ZWVnhwIEDeO+99/Dhhx/i4MGDYkciHff06VOsW7cOI0aM4M1jVClY4M8xNzfH77//jp49e+Kjjz7Cnj17xI5EOmz37t1ccZ4qlcFfxNQkPz8fw4cPR2hoKLZs2YLBgweLHYl0kLu7O9RqNSIjI8WOQnqKZ+AaVKtWDSEhIRg2bBiGDRuGjRs3ih2JdMyFCxcQERHBs2+qVDqzIk9VMzExwYYNG2BmZoZRo0ZBpVJx/UIqMz8/P9StW5crzlOlYoG/hJGREdauXQupVIoJEyZAqVTis88+EzsWabknT55g48aNmDRpEszMzMSOQ3qMBf4KRkZGWL58OczNzTF16lTk5eXhiy++EDsWaTGuOE9VhQVeBhKJBD///DPMzc3x5ZdfIi8vD3PnzuWNGaTRmjVr0KtXLzRt2lTsKKTnWOBlJJFIMH/+fJibm+Orr75CXl4efvrpJ5Y4FXP69GmcPn0ae/fuFTsKGQAWeDl9+eWXkEqlmD59OpRKJX799VeWOBXx8/ND48aN8cEHH4gdhQwAC/w1TJs2DVKpFJMmTYJSqcSaNWvK/BRE0l8PHjxASEgIvv76a644T1WCBf6aJk6cCKlUijFjxkCpVCIwMBAmJvxxGrLNmzcjPz8fY8aMETsKGQg2zhsYNWoUpFIpvLy8oFQqERwcjGrVqokdi0QgCALWrFmD//u//4OdnZ3YcchA8N/9b2jIkCH47bffsHv3bnzyySdQqVRiRyIRnDhxgivOU5Xjs1AqyB9//IGPP/4Y7u7uCA0Nhbm5udiRqAoNHToU8fHxuHjxIi9qU5XhGXgF+eCDD7B//35ERkaiT58+yM3NFTsSVZHbt29j165dmDhxIsubqhQLvAJ1794dhw8fxqlTp9CzZ088evRI7EhUBdavXw9jY2OMHDlS7ChkYDiEUgliY2PRq1cvtGjRAocOHUKtWrXEjkSVpLCwEA4ODnBzc0NQUJDYccjA8Ay8EnTs2BFhYWFIT0+Hh4cH7ty5I3YkqiSHDx/GlStX+NhYEgXPwCtRYmIiPD09UadOHRw/fhz169cXOxJVsL59+yIjIwNxcXEc/6YqxzPwSiSXyxEZGYkHDx6gW7duuHHjhtiRqAJdvXoVBw4c4IrzJBoWeCVr2bIlTpw4AaVSia5du+LKlStiR6IKEhAQACsrK644T6JhgVeB5s2b488//4SRkRHee+89pKamih2J3tDzK85bWVmJHYcMFAu8irz11ls4ceIErKys0LVrV5w/f17sSPQGfv/9d9y+fZsXL0lUvIhZxbKysvD+++/j5s2bOHr0KN5++22xI9Fr8PDwQH5+Pv7880+xo5AB4xl4FbO1tUV4eDiaNGkCd3d3/PXXX2JHonK6ePEiwsPD+dwTEh0LXAQ2NjY4fvw4WrVqBU9PT/znP/8ROxKVw9q1a1GnTh0MGDBA7Chk4FjgIqlRowYOHz4MZ2dn9OzZE+Hh4WJHojJ48uQJNmzYgNGjR3PFeRIdC1xE1atXxx9//IHOnTvjgw8+wKFDh8SORK+wfft2PHz4EBMmTBA7ChEvYmoDpVKJQYMG4fDhw9ixYwc++ugjsSNRKTp06AAbGxscPHhQ7ChEPAPXBlKpFDt37kTfvn0xcOBA/Pbbb2JHIg3i4+Nx6tQpTh0krcEC1xKmpqbYtm0bBg8ejCFDhmDz5s1iR6IXrFmzBo0aNcKHH34odhQiAFwTU6uYmJhg48aNkEqlGDlyJJRKJcaNGyd2LALw8OFDhISE4Msvv+Ti1aQ1+DdRyxgbG8Pf3x9mZmYYP348VCoVpkyZInYsg7d582aoVCquOE9ahQWuhYyMjLBy5UqYm5vD19cXeXl5mDlzptixDNbzK843aNBA7DhERVjgWkoikWDx4sUwNzfHrFmzoFQqMXv2bD62VARRUVE4f/48li9fLnYUomJY4FpMIpFgwYIFkEqlmD17NvLy8vDDDz+wxKvYmjVr4OjoCHd3d7GjEBXDAtcB33zzDczNzTFjxgzk5eVh2bJlLPEqkpWVhZ07d+Knn36CkREnbZF2YYHriH/961+QSqWYPHkylEolVq1axUKpAkFBQTAyMsKoUaPEjkJUAgtch/j4+EAqlWLs2LFQKpVYt24djI2NxY6lt9RqNdauXYvBgwfDxsZG7DhEJbDAdczo0aMhlUoxYsQIKJVKbNq0CdWqVRM7ll46fPgwLl++jJCQELGjEGnEAtdBw4YNg5mZGYYOHQqVSoWtW7fyyXiVwM/PD2+//TY6dOggdhQijTiIqqMGDBiA0NBQHDhwAB9//DGUSqXYkfTKtWvXsH//fkycOJEXjElrscB1WJ8+fbB//36Eh4ejT58+yM3NFTuS3ggICIClpSWGDx8udhSiUrHAddz777+PgwcP4uTJk+jduzcePXokdiSdl5+fj3Xr1uHTTz/livOk1VjgeqBbt244cuQIEhIS0KNHDzx48EDsSDrt999/x61bt/jYWNJ6XNBBj8TFxaFHjx5o0qQJjhw5gjp16ogdSSd5enpCpVIhKipK7ChEL8UzcD3i4uKC8PBw3LhxA+7u7rh9+7bYkXROcnIywsLCuOI86QQWuJ5p27YtIiMjce/ePXTr1g0ZGRliR9Ipz1acHzhwoNhRiF6JBa6HWrVqhRMnTiAvLw9du3bF1atXxY6kE/Ly8rBhwwZ4e3tzXj3pBBa4nnJwcMCJEycAAO+99x7S0tJETqT9duzYgezsbK44TzqDFzH1XEZGBjw9PfHo0SMcP34crVq1EjuS1urYsSNq1qyJQ4cOiR2FqEx4Bq7nGjZsiMjISNSuXRvdunXDuXPnxI6klc6cOYOTJ09y6iDpFBa4AahXrx7Cw8PRqFEjuLu7Iy4uTuxIWsfPzw+NGjVCnz59xI5CVGYscANRp04dhIWFwdHRER4eHoiOjhY7ktZ49OgRtmzZgnHjxnHFedIpLHADUrNmTRw9ehRvv/02evTogYiICLEjaYXNmzdDqVRyxXnSObyIaYCePHmCjz76CFFRUfj999/Ro0cPsSOJRhAEtG3bFk5OTti1a5fYcYjKhWfgBsjCwgL79u2Dp6cn+vbti3379okdSTT/+c9/kJiYyDsvSSfxDNyAPX36FEOHDsXevXuxdetWg7z7cPjw4Th16hSSk5O5xijpHP6NNWCmpqbYvn07PvnkEwwePBhbtmwRO1KVunPnDnbu3ImJEyeyvEkn8ZK7gTMxMcHmzZshlUrx6aefGtTFvKCgIEgkEq44TzqLBU4wNjbGunXriq14P3nyZLFjVapnK84PGjQItWvXFjsO0WthgRMAwMjICKtWrYJUKsWUKVOgVCoxY8YMsWNVmiNHjuDSpUsIDg4WOwrRa2OBUxGJRIKlS5fC3Nwcn3/+OfLy8jB79myxY1UKPz8/KBQKdOzYUewoRK+NBU7FSCQS/PDDDzA3N8ecOXOgVCqxYMECvVqZ/fr169i3bx9WrVqlV98XGR4WOGk0e/ZsSKVSzJw5E3l5eViyZInelF1AQAAsLCy44jzpPBY4lerzzz9vCpnEAAAgAElEQVSHVCqFr68vlEolVqxYofPT7Z5fcb569epixyF6IyxweqkpU6ZAKpVi/PjxUCqV8Pf3h7GxsdixXtvevXuRmZnJx8aSXuCdmFQmwcHBGDlyJIYMGYKNGzfq7FP7unfvjry8PPznP/8ROwrRG9PN/xdSlfPy8oKZmRmGDRsGlUqFkJAQmJqaih2rXFJSUnD8+HFs3rxZ7ChEFUK3BzSpSn3yySfYtWsX9u3bhwEDBkCpVIodqVzWrl2L2rVrG+QzX0g/scCpXPr164e9e/fi2LFj6NevH548eSJ2pDLJy8tDUFAQvL29IZVKxY5DVCFY4FRuPXv2xMGDBxEdHY3evXvj8ePHYkd6pd9++40rzpPe4UVMem3PCrx169Y4ePAgatasKXakUrm6uqJ69eo4cuSI2FGIKgzPwOm1derUCcePH0dycjI8PT1x7949sSNpdPbsWcTGxnLRBtI7LHB6I+3bt0d4eDiuX78Od3d33L59W+xIJfj5+aFBgwbo27ev2FGIKhQLnN6YQqFAREQE7t69Czc3N2RkZIgdqcijR48QHBzMFedJL7HAqUK0bt0akZGRyM3NRbdu3XD16lWxIwH45wYkpVKJcePGiR2FqMLxIiZVqCtXrsDDwwOFhYUICwtD8+bNRcsiCAIUCgUcHBwQGhoqWg6iysIzcKpQ9vb2OHHiBKRSKbp27YqLFy+KliU6Ohp///03n3tCeotn4FQpbt26he7du+POnTs4duwY2rRpU+UZvLy8EBsbi5SUFJ1/iiKRJvxbTZWifv36iIiIQIMGDeDm5ob4+Pgq/fy7d+/it99+44rzpNf4N5sqTZ06dRAWFgYHBwd4eHggNja2yj6bK86TIeAQClW6R48e4cMPP8TZs2dx4MABdO3atVI/T61Ww8nJCa6urnzyIOk1noFTpbO2tsahQ4fw7rvvolevXjh27Filft6xY8eQnp7OOy9J7/EMnKpMXl4eBgwYgLCwMOzatQsffvhhpXxO//79kZ6ejoSEBL1Zx5NIE56BU5UxNzfH7t270bt3b/Tv379S5mbfuHEDe/fuxaRJk1jepPdY4FSlzMzMsGPHDgwYMACDBg1CSEhIhR5/3bp1sLCwgJeXV4Uel0gb8eEQVOWqVauG4OBgmJmZwcvLCyqVCt7e3m983Pz8fAQEBGD48OFccZ4MAgucRGFsbIz169dDKpVi9OjRUCqVb3zRcd++fbh58yYvXpLBYIGTaIyMjLBmzRpIpVL4+PhAqVRi+vTpr308Pz8/uLq6QqFQVGBKIu3FAidRSSQS/PLLLzA3N8e//vUv5OXl4euvvy73cVJTU3H06FFs3LixElISaScWOIlOIpHgxx9/hLm5Ob755hsolUrMnz//lbNI1Gp10W3ya9euhY2NDQYNGlQVkYm0AguctIJEIsG3334LqVSKL774Anl5eVi0aFGxEo+Pj0dQUBBioqORmJQElUoFMzMzyFq3QtL5C/jkk0+44jwZFBY4aZVZs2ZBKpVi6tSpUCqV+Pe//41Lly5h/LhxCI+IQEPbuujeXoHh742CtaUFHuU+QUJqOjKumiM4OBgZN27APyAADg4OYn8rRJWOd2KSVvL398fEiRPRrVs3nDx5EnY2tbB4yhj07dIRJibGJfYvKCjEvqhYzFwZiMz72QgMDMTQoUNFSE5UdVjgpLUmTZoEPz8/ePXywJpZn8HS/NXDI7l5SvgsWoHgw2EIDg7GsGHDqiApkThY4KSVUlNToVAoMKBbJ2yYM6PEM71X79qHJVt2IvPefciaNsEv0ybivbflAP65uOm9YCl2Rkbj3LlzHE4hvcUCJ63k4e6Oa2kpOLtpdYkz7+3HIjFi/mKsmjkZndvKsHb3HwjcdwhJIf54q74tgH/OxBWf+qCJoxPCwsPF+BaIKh2fhUJaJy4uDuEREVg0eYzGYZNftoZidN+eGNuvN1rZv4Vfp09EY9u6WBO6v2gfS3MpFk0ZjfCIiCpfDYioqrDASets2LABjerZom+XjiW2Pc3PR1xyKnq861zs9fc7OCPm7wvFXuvXxRUNbesiKCioUvMSiYUFTlonJjoani5tNc42ufvgEQoL1ahnU6vY6/Vq1cKt+/eLvWZiYgxPFwViY2IqNS+RWFjgpHUSk5KgcGz+0n1evElTgAAJSt65qXBshr8TEysyHpHW4I08pFXUajVUKhWsLS00bq9T0xrGxka4dS+72OtZ2Q9KnJUDQA0rS6hUKixevBiOjo5o3rw5mjVrBktLy0rJT1SVWOCkVYyMjGBmZoZHuU80bjetVg0uLRxx9K8z6O/Wuej1Y6fOoN97JcfMH+bkwtjICPPnz0dubm7R63Z2dmjevHnRHwcHh6L/bWNjw9V8SCewwEnryGUyJKSml7p9+tCPMWL+YrRv6QjXNq3gv+cgrt3OwsT+JdfYTEi9hHbt2uHUX38hKysLaWlpSE9PL/pz8eJFHDhwAHfv3i16T40aNYoV+vMF36BBgxJz0onEwgInrdPR1RW7d2xDQUGhxguZg7t3w72Hj7Bg/RZk3suGvFkTHFi6AE3s6hXbr6CgEMfjEtB/0GBIJBLUq1cP9erVQ+fOnUsc89GjR0hPTy9R8DExMbhx4wae3S4hlUrRtGlTjQXfpEkTmJqaVs4PhUgD3shDWiUqKgoTJkzA+fPnsWvhnGLDJOUVGhGFgV99j7i4ODg7O7/6DaVQKpW4cuWKxoK/fPkynj59CuCf4Z+33nqrxJDMsz9WVlavnYFIExY4aYW0tDR88cUXCA0NhbOzMwRBjYdZWUjYXPJOzLKoqjsxCwsLcePGjWKl/nzJP378uGjfevXqaRxzb968OerUqcNxdyo3FjiJ6v79+1iwYAFWrVqFevXq4ccff8Tw4cNx6dIltG3bFgO7dUKQhmehvIy2PAtFEATcvXu3xFn7s6+zsrKK9rW2ti5xxv6s5Bs1asRxd9KIBU6iePr0KVatWoUFCxYgPz8fX375JaZPnw4Li/9NH9y6dSuGDx8Or54eWD3Lt9xPI9yyZYtWP1L28ePHuHTpksaCv379OtRqNQDA1NS01HF3e3t7mJmZifydkFhY4FSlBEFAaGgovvjiC1y+fBljx47F/PnzUb9+fY37h4SEYOzYsbCzqYVFU0ajXxfXUp8HvjcqBrNWrteL54E/ffq01HH3S5cuQaVSAfhnJaPGjRuXOu5ubW0t8ndClYkFTlXm1KlTmDFjBqKiotCrVy8sXrwYcrn8le9LS0srtiKPp4sCCsdmqGFliYc5uUhIvYTjcQnIyLoDD3d3rPX31+tHyKrVamRkZGgcc09PT8fDhw+L9q1bt26p4+62trYcd9dxLHCqdFevXsVXX32FrVu3ok2bNliyZAl69OhR7uM8WxMzNiYGfycmQqVSwdjICHXq1sEnnwyCt7f3G8020QeCIODevXulXlS9detW0b5WVlal3szUuHFjGBuX/JcOaRcWOFWahw8fYuHChfj1119Rq1YtLFiwAN7e3hVWDGq1GsOHD0dGRgZOnDhRIcfUd7m5uaWOu1+9erVo3L1atWpo2rSpxoJv2rQpF4/WEixwqnAFBQXw9/fH3LlzkZubi88//xyzZs2qlHnQP/zwA5YtW4a7d+9yOOAN5efn4+rVqxqHZdLT06FUKgH8M+7esGHDUu9WrVGjhsjfieFggVOFEQQBBw4cwMyZM5GcnIwRI0bg+++/R6NGjSrtM/fs2YP+/fvj5s2bsLOzq7TPMXRqtRqZmZkah2XS0tLw4MGDon1r165d6kXV+vXrG/wvWrVaXWHTQlngVCHOnj2LGTNmICwsDO7u7li6dCnatWtX6Z+blpYGR0dHHD16FN27d6/0zyPN7t+/X+q4+82bN4v2s7S0RLNmzTSOu7/11lswMdG/p3s8u3YTEx2NxKQkqFQqmJmZQS6TwbVTpze6dsMCpzeSkZGB2bNnY+PGjXBycsLixYvRp0+fKjvLKiwshJWVFRYuXIhp06ZVyWdS+Tx58gSXLl3SWPBXrlxBYWEhAMDExAT29vYah2WaNWsGc3Nzkb+T8nlx9lT39gooHJvD2tICj3KfICE1HcdO/zN7yt3NDf4BAeWePcUCp9eSk5ODxYsXY8mSJbCwsMC8efMwfvx4VKtWrcqzuLi4wNnZGQEBAVX+2fRmCgoKcO3aNY1j7unp6Xjy5H+PFW7QoEGp4+61apV8FryYnr9/YfGUMejbpWOp9y/si4rFzJWBr3X/AgucyqWwsBAbNmzA7Nmzcf/+fUybNg1ff/21qBeuRowYgdTUVMRw6TS9IggCbt26Vep893v37hXtW6tWLY3j7g4ODrCzs6vScfeQkBB4eXm99h3EwcHBGDZsWJk+iwVOZXb06FF8/vnnOHfuHIYMGYKFCxfC3t5e7FhYtGgRvv/+ezx8+NDgL5AZkgcPHpQ67n7jxo2i/czNzYvG3V8s+CZNmlTovxpTU1OhUCiKPcNnTeh++IXux5XMf559I2v2FuaMHo7eru8Ue+/rPMOHBU6vlJSUhJkzZ+LgwYPo1KkTli1bhg4dOogdq8iBAwfQp08fXL16FW+99ZbYcUgL5OXl4fLly6WOu+fn5wMAjI2N0aRJk1LH3cu79J6HuzuupaXg7Kb/PUVz35+xMDY2gkOjBgCAjX8cw5ItOxG/cSVkzeyLvb+8T9FkgVOpbt++jblz5yIgIAD29vb4+eefMWDAAK07y7169Srs7e3xxx9/oHfv3mLHIS1XWFiI69evl/qUyOeX3qtfv36p4+4vLr0XFxeH9u3bl+k59rV7DMSiKWMxpl+vEtvK8xx7/ZuzQ28sLy8Pv/zyCxYuXAgTExMsXrwYkydP1tqn3r311luwsrJCYmIiC5xeydjYGPb29rC3ty8x9VQQBGRlZZUYkklOTta49N7zhX7y5Ek0tK2Dvl1Krs36TGFhIX4L+xO5ShVc27TSuE+/Lq5oaFsXQUFBLHAqO7VajZCQEHz99dfIzMzE5MmTMWfOHNSuXVvsaC8lkUggk8mQlJQkdhTScc8vvdepU6cS258tvffiWXtsbCxuZmRgeE93jbNN/k67jE7jp0P59CmszM0R+tMctG7aRGMGExNjeLooEFuGi/IscAIAnDhxAjNmzMDp06fRv39//Pzzz3B0dBQ7VpnJZDIkJCSIHYP0nLW1Ndq1a6fxJjWpVAqFY3ON72vRpBHObFyNBzk52BUehVELliJi9aJSS1zh2Azbwza+Mg+X+TBwKSkp6N+/P7p16wYAiIyMRGhoqE6VNwDI5XKcP3++6GFMRFVJrVZDpVLB2tJC43bTatXg0LgB2rdywkKf0VA4NMW/t+8p9Xg1rCyhUqle+feZBW6g7t27h6lTp0ImkyEuLg7BwcE4efIkunbtKna01yKTyYpmHhBVNSMjI5iZmeFR7pNX7wxAEICn/50Jo8nDnFyYmZm98pkpHEIxMCqVCitXrsT333+PwsJCfPfdd5g2bZrO3ab8omcLQyQlJaF5c83/jCWqTHKZDAmp6SVe/3pNEHq7voPG9ergcW4eth2LRMSZczj4y/elHish9RLalGGxExa4gRAEATt37sQXX3yBa9euYfz48Zg3bx5sbW3FjlYh7OzsULNmTSQmJqJfv35ixyED5NqpE3bv2I6CgsJiFzJv38/GiPmLkHkvGzWsLNC2eVMc/OV7vP+u5hkmBQWFOB6XgP6DBr/yM1ngBiA2NhYzZsxAdHQ0PvzwQ+zfvx+tW7cWO1aFkkgkkMvlnIlCovH29sbKlSuxLyq22DzwwG/+Va7j7I2KQUbWHXh7e79yX46B67HLly9jyJAhcHV1RU5ODo4ePaqX5f2MTCZDYmKi2DHIQDk7O8PdzQ0zVwYiN0/5WsfIzVNi1sr1cHdzK9MjZlngeujBgweYNWsWWrZsiRMnTmD9+vWIj4/X++dly+VyXLx4EQUFBWJHIQPlHxCAzPvZ8Fm0otwzotRqNXwWrUDm/Wz4l/HJmixwPZKfn4+VK1fCwcEBq1atwtdff43U1NQKXYdSm8lkMjx9+hRpaWliRyED5eDggMDAQAQfDoP3gqVlPhPPzVPCe8FSBB8OQ2BgYJmfC84C1wOCIGDv3r1o06YNPvvsM/Tr1w+pqamYO3duuR/Go8uen4lCJJahQ4ciODgYOyOjofjUB6ERUSgoKNS4b0FBIUIjoqD41Ac7I6OxZcsWPg/ckMTHx2PGjBmIiIiAp6cnlixZgrffflvsWKKxtbXF5MmTMXfuXLGjkIF7cUUeTxcFFI7NUMPKEg9zcpGQegnH4/5ZkcfD3R1r/f25Io+huHHjBr755hts3rwZLVu2xJIlS9C7d2+te1JgVfPw8ECdOnWwY8cOsaMQAfjfmpixMTH4OzGxaE3MNnI5Orq6vtGamJxGqGMeP36MRYsWYenSpbCyssLq1asxduxYvVwM9nXIZDIcP35c7BhERZydnYsVdEWuSs8xcB1RUFAAf39/ODo6YvHixZg6dSrS0tIwceJElvdzZDIZUlNToVKpxI5CpFFFlTfAAtcJhw8fRrt27TBhwgR0794dycnJWLhwIaytrcWOpnXkcjkKCgqQkpIidhSiSscC12KJiYno1asXevXqhVq1auHUqVMIDg5GkyaaH0FJ/5yBA5yJQoaBBa6Fbt26hfHjx0OhUCA9PR27du1CZGQk3nnnnVe/2cDVqlULDRo04B2ZZBA4eKpFnjx5gmXLluGnn36Cqakpli1bhkmTJsHU1FTsaDqFq/OQoeAZuBZQq9XYtGkTnJyc8N1332HChAlIT0/H1KlTWd6vQS6X8wycDAILXGQRERF45513MHLkSHTs2BEXLlzA0qVLUatWLbGj6SyZTIb09HTk5eWJHYWoUrHARZKcnIx+/frB3d0d1apVQ1RUFHbu3MnFCCqAXC6HIAi4cOGC2FGIKhULvIrdvXsXvr6+kMvlOHfuHLZu3YqYmBh07tz51W+mMnn2uFyOg5O+40XMKqJUKrFixQr88MMPEAQBP/zwAz777DNIpVKxo+md6tWro0mTJhwHJ73HAq9kgiBg+/bt+Oqrr3D9+nVMnDgRc+fORd26dcWOptc4E4UMAYdQKlF0dDQ6deqEoUOHok2bNkhMTMTKlStZ3lWAM1HIELDAK0F6ejoGDRqEzp07Q6lU4vjx49i7dy9atmwpdjSDIZPJcPXqVTx+/FjsKESVhgVegbKzszFjxgy0atUK0dHR2LBhA+Li4uDh4SF2NIPzbHGH8+fPi5yEqPKwwCvA06dP8e9//xsODg5Yu3Yt5syZg5SUFIwcObJCnzxGZdeyZUtIJBKOg5Ne40XMNyAIAn7//XfMmjUL6enpGD16NL777jvY2dmJHc3gWVhYoHnz5hwHJ73G08PXdPr0abi5uaF///5o2rQpzpw5g4CAAJa3FuFMFNJ3LPByunbtGry8vPDOO+/g3r17OHjwIA4fPoy2bduKHY1ewJkopO9Y4GX0+PFjfPPNN2jRogWOHj2KtWvX4uzZs+jVq5fY0agUMpkMN2/eRHZ2tthRiCoFC/wVCgoK4OfnBwcHByxbtgwzZsz4Z7Xp8eO5lJmWezYThcMopK9Y4KUQBAF//PEHFAoFJk2ahJ49eyIlJQXff/89qlevLnY8KgMnJycYGxuzwElvscA1OHfuHHr06IEPP/wQdevWxenTp7Fp0yY0btxY7GhUDmZmZnBycuI4OOktFvhzbt68ibFjx+Ltt9/GtWvXsGfPHoSHh8PFxUXsaPSaOBOF9BkLHEBubi7mz58PR0dH7NmzB//+97+RmJiIjz76CBKJROx49AY4E4X0mUFfhSssLMSmTZswe/Zs3L17F5999hm++eYb1KxZU+xoVEFkMhnu3LmDrKws2Nraih2HqEIZ7Bn48ePH0b59e4wePRpdunTBhQsXsHjxYpa3nuFMFNJnBlfgFy5cQJ8+fdC9e3dIpVJER0dj+/btaNasmdjRqBI4ODjA1NSUBU56yWAKPCsrCz4+PmjTpg3Onz+P7du3Izo6Gq6urmJHo0pkYmKCli1bchyc9JLej4ErlUr8+uuv+PHHH2FkZISffvoJvr6+MDMzEzsaVRHORCF9pbdn4Gq1GiEhIWjRogXmzJmDUaNGIS0tDZ9//jnL28A8m4kiCILYUYgqlF4WeFRUFDp27Ijhw4ejXbt2SEpKwvLly1GnTh2xo5EIZDIZHjx4gMzMTLGjEFUovSrwtLQ0DBgwAO+99x4KCwsRHh6OPXv2wMnJSexoJKJnM1E4Dk76Ri8K/P79+5g+fTpat26NU6dOYdOmTfjrr7/g5uYmdjTSAk2bNoW5uTnHwUnv6PRFzKdPn2LVqlVYsGAB8vPzMXfuXEyfPh0WFhZiRyMtYmRkhNatW/MMnPSOTha4IAgIDQ3FF198gcuXL2Ps2LGYP38+6tevL3Y00lKciUL6SOeGUE6dOoWuXbti4MCBcHR0REJCAtauXcvyppeSy+VISkriTBTSKzpT4FevXsWwYcPQoUMHPHz4EIcPH8bBgweLLlARvYxMJkNOTg6uXbsmdhSiCqP1Bf7w4UN8+eWXaNGiBcLDwxEQEIAzZ86gR48eYkcjHcKZKKSPtLbACwoKsHr1ajg6OmL58uWYNWsWUlNTMXbsWBgbG4sdj3RM48aNUb16dY6Dk16p8AJXq9Vv9H5BELB//360adMGU6ZMwQcffICUlBR89913sLKyqqCUZGgkEglkMhnPwEmvvHGBx8fHw9fXF+1dXCCVSmFsbAypVIr2Li7w9fVFfHx8mY919uxZdO/eHX379oWdnR3i4uKwYcMGNGrU6E1jEnEmCumd1y7wtLQ0eLi7w8XFBbt3bIe8vg0WThyFdV9Px8KJoyCvb4PdO7bDxcUFHu7uSEtLK/VYGRkZ8Pb2hrOzMzIyMrB3714cP34c7dq1e914RCXI5XKcP38ehYWFYkchqhCvNQ88JCQEY8eOhZ1NLexaOAd9u3SEiUnJcemCgkLsi4rFzJWBaNu2LQIDAzF06NCi7Tk5OVi8eDGWLFkCCwsLrFixAuPHj0e1atVe/zsiKoVMJoNSqcTly5fh4OAgdhyiN1buM/CQkBB4eXlhYLdOSNi8Gv3dOmssbwAwMTFGf7fOSNi8GgO7dcLw4cMREhKCwsJCBAYGwsnJCT/99BOmTJmCtLQ0TJ48meVNlYYzUUjfSIRy3NmQmpoKhUKBgd06IWjODBgZlb3/1Wo1vBcsxY7wKNjb2yM5ORlDhgzBwoULYW9v/zrZicpFEATUrl0bM2bMwDfffCN2HKI3Vq4z8Anjx6NB7VpYPcu31PJeuHEbjFx7YdovfsU/yMgIq2f5ol5Na2Tdvo3Y2Fhs3bqV5U1VRiKRcJV60itlLvC4uDiER0Rg0eQxsDSXatznr/PJCPj9INo6NNW43dJcimXTJiD7wQMOlZAoOBOF9EmZC3zDhg1oVM8Wfbt01Lg950kevOYtgv+XU1Greunztft1cUVD27oICgoqf1qiNySXy3Hx4kXk5+eLHYXojZW5wGOio+Hp0rbUC5ZTlqzCB53eRfd3nV96HBMTY3i6KBAbE1O+pEQVQCaTIT8//6XTWol0RZkLPDEpCQrH5hq3bTsagfjkNCyc5F2mYykcm+FvjkOSCGQyGQDORCH9UKYCV6vVUKlUsLYsuVDC9dt3MO0XP2yeNwtSM9MyfWgNK0uoVKo3vu2eqLzq1q0LW1tbjoOTXijTjTxGRkYwMzPDo9wnJbbFXUxFVvYDtPeeUvRaYaEaJ84mYtWuvVBG7ivx8KmHObkwMzMr1zREoorCmSikL8p8J6ZcJkNCanqJ1z3bv41zwcWnDI7+YSlaNmmMWV6DND45MCH1EtrwOd4kEplMhqNHj4odg+iNlfkU2LVTJxw7nYCCguLPkahuaQF5c/tifyylUthYW0Pe3L7EcQoKCnE8LgEdXV3fODzR65DL5UhNTYVKpRI7CtEbKXOBe3t7IyPrDvZFxb7RB+6NikFG1h14e5ftgidRRZPJZCgsLERycrLYUYjeSLlupfdwd8fV1BQkbF5d6s08L5Obp4TiUx80cXRCWHh4ud9PVBEePHiAWrVqYcuWLRg2bJjYcYheW7muIvoHBCDzfjZ8Fq0o9wwStVoNn0UrkHk/G/4BAeV6L1FFqlmzJho2bMiZKKTzylXgDg4OCAwMRPDhMHgvWIrcPGWZ3pebp4T3gqUIPhyGwMBAPsqTRMeZKKQPyj2Pb+jQoQgODsbOyGgoPvVBaERUiQubzxQUFCI0IgqKT32wMzIaW7ZsKfY8cCKx8JkopA/KNQb+vLS0NIwfNw7hERFoaFsXni4KKByboYaVJR7m5CIh9RKOxyUgI+sOPNzdsdbfn2fepDWCgoIwZswY5OTkwMKi5A1qRLrgtQv8mfj4eAQFBSE2JgZ/JyZCpVLBzMwMbeRydHR1LVoqjUibnDp1Ch06dMDp06fh4uIidhyi1/LGBf4itVrNOyxJ6+Xk5KB69erYsGEDRo4cKXYcotdS4U3L8iZdYGVlBXt7e46Dk05j25LB4kwU0nUscDJYnIlCuo4FTgZLLpfj2rVrePTokdhRiF4LC5wM1rPFHc6fPy9yEqLXwwIng9WyZUsYGRlxHJx0FgucDJa5uTmaN2/OcXDSWSxwMmiciUK6jAVOBo0zUUiXscDJoMnlcmRmZuL+/ftiRyEqNxY4GbRnM1F4Fk66iAVOBs3JyQkmJiYcByedxAIng2ZqagonJyeegZNOYoGTweNMFNJVLHAyeDKZDImJiajgJysTVToWOBk8mUyGe/fuISsrS+woROXCAieDJ5fLAXAmCukeFjgZvObNm8PU1JTj4KRzWOBk8ExMTNCqVSuegZPOYYET4X8XMol0CQucCP+MgyclJXEmCukUFjgR/jkDf/jwITIyMsSOQlRmLAdxsgsAAAZRSURBVHAicCYK6SYWOBEAe3t7WFhYcBycdAoLnAiAkZERWrduzTNw0ikscKL/4kwU0jUscKL/ksvlOH/+PNRqtdhRiMqEBU70XzKZDLm5ubh69arYUYjKhAVO9F+ciUK6hgVO9F+NGjWCtbU1x8FJZ7DAif5LIpFwlXrSKSxwoudwJgrpEhY40XPkcjkuXLiAwsJCsaMQvRILnOg5MpkMKpUK6enpYkcheiUWONFzOBOFdAkLnOg59erVg42NDcfBSSewwImeI5FIip4NTqTtWOBEL+BMFNIVLHCiF8jlciQnJ+Pp06diRyF6KRY40QtkMhkKCgqQmpoqdhSil2KBE71AJpMB4EwU0n4scKIX1KlTB/Xq1eM4OGk9FjiRBpyJQrqABU6kAWeikC5ggRNpIJfLkZaWBqVSKXYUolKxwIk0kMlkUKvVuHjxothRiErFAifSgDNRSBewwIk0qFGjBho1asRxcNJqLHCiUnAmCmk7FjhRKTgThbQdC5yoFHK5HJcvX0Zubq7YUYg0YoETleLZhczz58+LnIRIMxY4USlat24NgDNRSHuxwIlKYWlpiaZNm3IcnLQWC5zoJTgThbQZC5zoJTgThbQZC5zoJeRyOW7cuIGHDx+KHYWoBBY40UvwlnrSZixwopdo2bIljIyMWOCklVjgRC8hlUrh4ODAcXDSSixwolfgTBTSVixwold4fiaKWq0WOQ3R/7DAiV4iPj4ep06dwr27dyGVmsHY2BhSqRTtXVzg6+uL+Ph4sSOSAZMIgiCIHYJI26SlpWH8uHEIj4hAg7p18P47b0Ph2BzWlhZ4lPsECanpOHY6ARlZd+Du5gb/gAA4ODiIHZsMDAuc6AUhISEYO3Ys7GxqYfGUMejbpSNMTIxL7FdQUIh9UbGYuTIQmfezERgYiKFDh4qQmAwVC5zoOSEhIfDy8oJXTw+snuULS3PpK9+Tm6eEz6IVCD4chuDgYAwbNqwKkhKxwImKpKamQqFQYGC3TgiaMwNGRv9cIpq3bjO+C9xSbN96NrWQeWBr0ddqtRreC5ZiZ2Q0zp07x+EUqhIscKL/8nB3x7W0FJzdtLrYmfe8dZuxKzwKR5cvLHrN2MgIdWvVLPb+3DwlFJ/6oImjE8LCw6ssNxkuzkIhAhAXF4fwiAgsmjxG47CJibEx6te2KfrzYnkDgKW5FIumjEZ4RARnp1CVYIETAdiwYQMa1bNF3y4dNW5PvZ6Bhn2HodnHIzF0zkJcysjUuF+/Lq5oaFsXQUFBlRmXCABgInYAIm0QEx0NT5e2GmebdJC1xMZvZ8KpcUPcvp+NHzZsRefx/0JiyFrUrmFdbF8TE2N4uigQGxNTVdHJgPEMnAhAYlISFI7NNW7r7foOBrh3QRuHpuj+rjP2L10AANj4x1GN+yscm+FvPjuFqgALnAyeWq2GSqWCtaVFmfa3NJeiTXN7pF6/qXF7DStLqFQq3nZPlY4FTgbPyMgIZmZmeJT7pEz7q54+xYUr12FX20bj9oc5uTAzMyuahkhUWTgGTgRALpMhITVd47bPlwegb5cOeKu+LbKyH+CHoK14lPsEIz/ornH/hNRLaCOXV2ZcIgAscCIAgGunTti9YzsKCgpLXMjMuHMXw+b+hLsPHqFuzRroKG+JmHW/oIldvRLHKSgoxPG4BPQfNLiqopMB4408RPjnqYMuLi7YtXAO+rt1fu3jhEZEYeBX3yMuLg7Ozs4VmJCoJBY40X95uLvjamoKEjavLtMzUF7EOzGpqvEqC9F/+QcEIPN+NnwWrSj3DBK1Wg2fRSuQeT8b/9/e/bMmDMRxGP9uGVro1C5uJd0sDi4NuNjufQ/X2dk34Ca4uRg5s/gKujnUqZAuDZS6Cb6HgkGzBAcdtGipg38Ons9+kOnhOHK/C7vdA30hsImAAyu+78taq/5gKNNoKZ3N/7Uunc1lGi31B0NZaxlkhaPhCAX4ZX0eeLP2oudKsHMe+Ot7rHq7xzxwnAQBB7ZYf5GncHOtp3JJpbtbXV1e6Gea6ms80dvn8kWex2pVnTBk542jI+DAH5IkURRF+ohjfY9GyrJMnufpvljUQxDIGMPfJjgZAg7sIc9zbljibBBwAHAUWwkAcBQBBwBHEXAAcBQBBwBHEXAAcBQBBwBHEXAAcNQCD19hEcsRyVEAAAAASUVORK5CYII=", "text/plain": [ "Graph on 6 vertices" ] }, "execution_count": 77, "metadata": { }, "output_type": "execute_result" } ], "source": [ "print(max(AZI_vred))\n", "AZI_vred[max(AZI_vred)]" ] }, { "cell_type": "code", "execution_count": 78, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "5/2\n" ] }, { "data": { "image/png": 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", "text/plain": [ "Graph on 6 vertices" ] }, "execution_count": 78, "metadata": { }, "output_type": "execute_result" } ], "source": [ "\n", "print(min(AZI_vred))\n", "AZI_vred[min(AZI_vred)]" ] }, { "cell_type": "code", "execution_count": 79, "metadata": { "collapsed": false }, "outputs": [ ], "source": [ "alpha = 0\n", "AZI_vred = {}\n", "for G in drevo:\n", " a = AZIvrednost(G, alpha)\n", " AZI_vred[a] = (G)" ] }, { "cell_type": "code", "execution_count": 80, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "5\n" ] }, { "data": { "image/png": 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", "text/plain": [ "Graph on 6 vertices" ] }, "execution_count": 80, "metadata": { }, "output_type": "execute_result" } ], "source": [ "print(max(AZI_vred))\n", "AZI_vred[max(AZI_vred)]" ] }, { "cell_type": "code", "execution_count": 81, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "5\n" ] }, { "data": { "image/png": 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", "text/plain": [ "Graph on 6 vertices" ] }, "execution_count": 81, "metadata": { }, "output_type": "execute_result" } ], "source": [ "print(min(AZI_vred))\n", "AZI_vred[min(AZI_vred)]" ] }, { "cell_type": "code", "execution_count": 82, "metadata": { "collapsed": false }, "outputs": [ ], "source": [ "alpha = 8\n", "AZI_vred = {}\n", "for G in drevo:\n", " a = AZIvrednost(G, alpha)\n", " AZI_vred[a] = (G)" ] }, { "cell_type": "code", "execution_count": 83, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "1280\n" ] }, { "data": { "image/png": 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", "text/plain": [ "Graph on 6 vertices" ] }, "execution_count": 83, "metadata": { }, "output_type": "execute_result" } ], "source": [ "print(max(AZI_vred))\n", "AZI_vred[max(AZI_vred)]" ] }, { "cell_type": "code", "execution_count": 84, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "1953125/65536\n" ] }, { "data": { "image/png": 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", "text/plain": [ "Graph on 6 vertices" ] }, "execution_count": 84, "metadata": { }, "output_type": "execute_result" } ], "source": [ "\n", "print(min(AZI_vred))\n", "AZI_vred[min(AZI_vred)]" ] }, { "cell_type": "code", "execution_count": 85, "metadata": { "collapsed": false }, "outputs": [ ], "source": [ "alpha = 2\n", "AZI_vred = {}\n", "for G in drevo:\n", " a = AZIvrednost(G, alpha)\n", " AZI_vred[a] = (G)" ] }, { "cell_type": "code", "execution_count": 86, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "20\n" ] }, { "data": { "image/png": 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qBxelJCIiws3VH2uhvVaPBWvXY9fhr7Fr165O1R+7Ferq6iyGoJKSEly8eNHgGLlcbjQC1BKAWn738PCATCbrlvcwISYGv+RkI+PDTe36m7TFFbyJiIi6gLn6Y2ve/wgHvvk3zv9SAmdHB0QPvwt/WzAXQwL9pWO7qv7YzRBCtGuidFVVlcFxCoXCYghSKpVwc3O75f2/Gbm5uQgNDWVtOCIiop5krv7Yg4v/iifuH4d77tSgWafHS1t24qf8QmQmbzNo1xWjFy2EELh8+bLF+UElJSXQarXSMTKZzGCitKkQ5OfnB2dn5071rafs3r0bsbGxHR71S0pK6tRlUoYlIiLq0yzVH2vrUlU1vB96Esc3vYmxdw832Nee+mM6nQ4XLlywOEm67URpOzs7aaJ02wDUeqK0vb195z8MK9Z6PtnahXMxdXSU2flkn55MxdINiSivrOqS+WSc4E1ERH2apfpjbV2tvb7mj8Ktn9G+6/XH7sDq1avx2GOPmbw8Vl5ebjBR2snJSQpBAQEBiI6ONhoZ8vLy6vRE6d5g5syZGDFiBJ6ePx/Tl70GPy9PTIwIQ9jgYPSXu+JqrRYZOfn4Ki0DpRWXMCEmBoe3beuSy6IcWSIioj4tMiICIQMV2LH8TxbbCSHwyNKVqPq1Fv/ass5kmzmvvIWkI19Dp9PDzc3N5EhQ620KhaLbJkr3Ji1rYJ1KTcVPZ89Ka2ANDwnByKioLl8DiyNLRETUp92o/liLhW9txI+5BTix1XRQAq7XH/voq3+hsvKS1U2U7k3Cw8MNwtCtXl2dYYmIiHo9nU6HsrIyFBQUoLCwEAUFBdLjRvXHAGDRuk347OQpfLP5LSi9PM226y93RWNjI+RyeVe/BbLgVpehYVgiIqLbnhACFy9elAJQSyBq+VlUVISmVmUwBg4cCJVKhaCgINjZ2ZmtPyaEwKJ1m/DJNyk4tmktgnwHWuxHZ+qPkfViWCIiIqvXUnes9ahQ60BUWFiI+vp6qb2Hh4cUhqZNm4agoCAEBQVBpVIhMDAQLi6/jSRlZ2WZrT/23FsbsfvIMXzyxsvo5+KMC1euF3jt7+oKZydHo/adqT9G1othiYiom7BqvWVXr141OSrU8nvrAqxubm5S+HnggQekYBQUFITAwMCbmi8UFR1ttv7Ylv0HAQAxzy012J740v9gzn9NMtjW2fpjZL14NxwR0S3CqvWGtFqtURBq/bP1atPOzs5SGGo9KtTyc8CAAV12F1l6ejoiIiLatc6SJe1ZZ4luTwxLRERdzFTV+rDBgwyq1h89fX0tmN5Utb6+vh5FRUUmR4UKCgpw6dIlqa2DgwMCAwONQlBLMPL09OzWW+qtof4YWS+GJSKiLtR6leE3Fz7Vrqr1XbXK8K3W1NSE4uJis6NDZWVlUltbW1v4+/ubHR3y8fGxqkuS1lB/jKwX5ywREXWRm6lab2dni2njR2HSvRFYsHY9YmNjIYTo0ar1LbfXm5tEXVxcDL1eD+B6LTJfX18EBQUhODgYEyZMMAhDSqUSdna3z1eMWq1GQkICYmNjAaDD9ccYlHonjiwREXUBc1Xr//XDT3gr6WOkZeWg/HIl9v9tBR4ZF21wbHeNTLS+vd7UJOq2t9d7e3ubvESmUqkQEBAAR0fju8Fudz1Zf4ysF8MSEVEXMFe1/lDq9/j3j5kIH6LG9GWvmQxLQNfMeRFCoLKy0uxaQ21vr1coFGYnUKtUKoPb6/uStnPOblR/bGsX1R8j68WwRETUSe2tWm8T9YDZsAS0726qq1evmr21vqCgwOD2+n79+pmdQK1SqViO4wa6u/4YWa/b54IyEZGVupmq9ZZcr1rviXXr1mHmzJkmR4fa3l7fMgo0ZswYzJo1yyAYsUhr53R3/TGyXgxLRESdlJqSgokRoSbnttwMOztbTIwIQ9Kej5CcnAx7e3vp9vqIiAhMnz7dYHTIy8uLYagbMSj1XQxLRESd1N6q9e1xvWr9Nygs/AU+Pj6wte1cACOizmNYIiK6STqdDiUlJcjLy0NOTk67qta31/Wq9U3w9fXlSAaRlWBYIiIyob6+Hvn5+cjLyzN6FBYWorGxEcD1SzM2NjZmq9bfLFatJ7I+DEtE1GdVVlaaDEN5eXkoLS2V2jk5OSE4OBiDBg3CQw89hEGDBkkPlUqF6Kgos1Xra+uuIbfkt5WtC8ou4Ex2HhRu/RAw0MuoPavWE1kfhiUi6rX0ej1KS0vNBqLq6mqprUKhkALQmDFjDALRjUpzWKpaf/p8NiY892fp+f++tw0AMPuh+7Bj+Z8M2rJqPZF14jpLRHRba2hoQEFBgckwVFBQgIaGBgDXy3MolUqDENT64e7u3uE+sGo9Ue/GsER0G+jr67tUV1ebHR0qKSlByz9jjo6OCAoKMhmGVCoVnJxuvpp8e7FqPVHvxbBEZIVaVg5OTUnB2cxMaeXgkGHDEBUd3etWDtbr9SgvLzcbiCorK6W27u7uZkeH/Pz8eixUsmo9Ue/FsERkRdrWpLovMgxhgwfBzdUFNdo6ZOTk4ejp6zWpYsaPx7bt22+bL9bGxkYUFhaaDEP5+fkGNcv8/PzMBiKFQtGD78Ky3bt3IzY2FnGTJ3S4aj2LsRJZH4YlIivRutr5mwufwpTRI81WO//s5Cks2ZBgddXOa2pqzI4OFRcXQ6/XAwDs7e3NXi4LCgqCs7NzD7+TjmPVeqLeh2GJyAokJycjLi6uwyMSu3btwsyZM295P4UQuHDhgtlAdPnyZamtm5ub2dEhpVLZq1emZtV6ot6FYYmoh+Xk5CAsLMzkXJdN+z7DW0kfo/xKJYYFBeKdxc9gzO9+W4PnVsx1aWpqwi+//GL2clld3W+LL/r4+JgNRB4eHn2+bhmr1hP1DgxLRD1sQkwMinKzceYDw7uo9hz9BrNWvYmNS57DqNBh2Hrg/5Dw2RfITN5msJhhR+6iqq2tNTs6VFRUBJ1OBwCws7ODSqUyGYaCg4Ph4tI1JT76ir5+VyPR7YphiagHpaWlITIy0uT6PCOfeh53D1Fj89JF0ra7npyPh8dGYc2CuQZt267PI4RARUWF2UBUUVEhHSuXy82ODvn7+8POjmvXElHfxn8FiXrQzp07ofT2wpTRIw22NzY1IS0rB3/+w+MG2++/NxypP50zOs/U0VHwuUOBxx57DHK5HPn5+aitrZX2e3t7Y9CgQVCr1Zg8ebJBIPL09Ozzl8uIiCxhWCLqQakpKZgYEWp0t9Tl6hrodHp4KwYYbPceMAAXWq051MLOzhb33xOOz1JPY9KkSfjDH/5gcLlMLpff0vdBRNSbMSwR9aCzmZmIHTPH7P62Az4CAjKYHgUKGxyMPV+fwObNm7uwh0RExLBE1A2EECgvL0d2drb0yMrKQkNDA9xcjSdJ3+HuBltbG1y4UmWwvaKq2mi0qUV/uSsaGho4iZiIqIsxLBF1ocrKSuTk5BiEouzsbOTk5ECr1QIAbGxsEBQUBI1GAzs7O9Ro64zO42Bvj4ghg/Hl9z8YTPw++t0PmDpmpFF7ALhaq4WjoyODEhFRF2NYIrpJdXV1yM3NNQpE2dnZuHLlitTO19cXGo0GI0aMQFxcHDQaDQYPHozg4GA4ODgAACIjIpCRk2fydV6Y8ShmrXoTkUMHI2r4ndj2ySEUXazAM9P+y2T7jJx8DA8JMbmPiIg6jmGJyISmpiYUFhaaDEQlJSVSO3d3dwwZMgQajQYPPfSQFIgGDx7crknVUdHROLB3D5qbdUaTvJ+4bxyuXK3Bq4lJKL9ShZDgQHy+7lUE+ngbnae5WYev0jIw7fEnOv/miYjIANdZ6sP6+twWvV6PsrIyk4GooKAAzc3NAABnZ2cMHjwYGo1GerQ87+wq1enp6YiIiDC5ztLNaLvOEhERdR2GpT6kpfRCakoKzmZmSqUXQoYNQ1R0dK8tvXDlyhWTgSgnJwfXrl0DANja2iI4ONhkIPLz87uloXJCTAx+yclGxoeb2lUTrq2OrOBNRETtx7DUB7Qt6nlfZBjCBg+Cm6sLarR1yMjJw9HT14t6xowfj23bt992RT21Wq3ZidWVrdYlUiqVJgNRUFAQ7O3te6Tvubm5CA0NNVkb7kZuRW04IiIyxDlLvVxycjLmzZsHH8UA7FuzHFNGjzSaGwNcn/Py2clTWLIhAaGhoUhISMCMGTN6oMfmNTY2oqCgwGQgKi0tldp5eHhAo9Fg6NChmDp1qhSK1Go1XF1de/AdmKZWq5GQkIDY2FgAwKali9o1wqS9Vo8Fa9dj1+GvkZSUxKBERHSLcGSpF0tOTkZcXBziJk/o0Bfwrl27MHPmzG7o6W/0ej1KSkpMBqKCggKpwKuLi4vBCFHridUeHh7d2ueu0jrYrl04F1NHR5kNtp+eTMXSDYkor6yyymBLRNSbMCz1Ujk5OQgLC7PKSztCCFy+fNlkIMrJyUF9fT2A6xXvBw0aZHTJTKPRwNfXt1fWM2t7yXRiRBjCBgejv9wVV2u1yMjJx1dp1y+ZToiJwdZt2ziiRER0izEs9VITYmJQlJuNMx9YnjS85v2P8NctO/Hfjz+Cv7/wjLS9KyYN//rrr0bziFqeV1dXS+0CAgJMBiKVStVnK963TMY/lZqKn86elSbjDw8JwcioqF47GZ+IyBr1zW+iXi4tLQ3Hjh/HvjXLLQal73/Owvb/dwih6iCjfa7OTli7cC6mL3sN6enpZr+YGxoakJ+fbzIQlZeXS+08PT2h0WgwbNgwPPLII1IgGjRoEFxcjMt99HXh4eEGn3lfX+aBiKgnMSz1Qjt37oTS2wtTRpsuiwEAtXXXELdyLba9+DxW79xtss3U0VHw8/JEYmIiFAqFyUBUWFgIvV4PAJDL5VIIGjt2rMFo0YABpuuZUfswKBER9RyGpV4oNSUFEyNCTU4ObrHwrY14KHoE7hsRbjYs2dnZYmJEGLZt3YqNGzcCAOzt7aFWq6HRaPDoo48aTLAeOHBgr5xHREREfRvDUi90NjMTsWPmmN3/0ZfHkZ6Vi+8S37vhucIGB2P3l8dx6NAhaDQaBAQE9Nl5RERE1DfxW6+X0Ov1qKioQGFhIRoaGuDmanoeUPHFS1j8zhYcfvd1ODk63PC8/eWuaGpuxqRJk3gpiIiI+qRbHpY4MbVr1NTUoLi4GEVFRdLP1r8XFxejqakJAGAjk6FGW2fyPGnnc1BRVY3I+IXSNp1Oj3+dOYuN+z5F/Tefwdb2t8t3V2u1cHR05N+QiIj6rC4PS321/lhnNDU1obS01GwQKioqwtWrV6X2NjY28PPzQ0BAAPz9/TFixAjp94CAAMTPmY2MnDyTrzUx8nf4cdcWg21zV6/D0EB/LI173CAoAUBGTj6Gh4R0/ZsmIiK6TXRZWDJVfyx2zByD+mMH9u7Bhg0bbtv6Yx3RsgCjpSBUXl6O1stdKRQKKfyMHTvWIAgFBATAx8fH4ryh0WPG4sDePWhu1hlN8u7n6oKQQSqDba5OTlC4uRltb27W4au0DEx7/IlOfw5ERES3qy4JS72p/tjN0mq1KC4uNhuEiouLpRWpAcDR0VEKP0OHDsWkSZMMgpC/v3+n65fFx8djw4YN+OzkKUwbP6rD5/n0ZCpKKy4hPj6+U/0hIiK6nXV6Be/bsf5YezU3N6O8vNxiELpy5YrUXiaTwcfHxyj8tP7d09OzW26vnxATg19yspHxoeUVvM3pihW8iYiIeoNOhSVz9cdW/uNDvJKQZNDWWzEA5Z//tp7Pra4/diNCCFRXV0vBx1QQKi0tlQq3AkD//v0tBiE/Pz84ONz4DrPukJubi9DQUKusDUdERHQ76dRluD8+/TR8PQZg09JFRl/Gw4ID8eV7a6Tntm3229jYYNPSRfj3T+fw9Pz5XT56UV9fj5KSEotzhbRardTe3t4eSqUSAQEBCAoKwrhx4wwCkb+/P/r379+lfbyV1Go1EhISEBsbCwAdGvVLSkpiUCIioj6vw2HpRvXH7GxtMdBDYfEc7a0/1pZer8fFixctBqGKigqDY7y8vKTQM2nSJKORIW9v7153e/yMGTMghMC8efPw75/OYe3CuZg6OsrsfLJPT6Zi6YZElFdWISkp6bafT0ZERNQVOhyWblR/LKe4FH48x3+VAAAC3UlEQVRTZsLR3h73DhuK1c/MQbCfj1G7lvpjO3bskMJSTU2NxSBUUlIirSkEAK6urlL4+d3vfoepU6caBCGlUgknp5uft9MbzJw5EyNGjMDT8+dj+rLX4OfliYkRYQgbHIz+cldcrdUiIycfX6VloLTiEibExODwtm0cUSIiIvqPDs9ZioyIQMhABXYs/5PRvkOp36OuvgEafz9crKzC6p27cf6XEpxN3gqP/m5G7ee88hYOnjoNXz8liouLDdYUsrW1hZ+fn8W5QgMGDGBNsnZoWQPrVGoqfjp7VloDa3hICEZGRXENLCIiIhM6HJacnJyw5pk5WPzktBu21V6rh3p6PJbETcf/zPi90f53du/H0o0JePbZZ42C0I3WFKKO4+rqREREN9ahFKLX6y3WH2vL1dkJwwepkFNcZnJ/f7krdDod3n33XX55dyN+1kRERDfWoW9LGxsbODo6mq0/1lZDYyPOFRbDx8yEb9YfIyIiImvV4etbIcOGma0/9qf3tmPK6HsRMNALFVXVWL1jN2q0dZj90H0m27P+GBEREVmrDoelqOhos/XHSi9dxsyX/4bL1TXwdO+PkSFDkfqPdxDo4210HtYfIyIiImvW4Qne6enpiIiIwL41yztVf2z/8ZOYvuw1pKWl8U4sIiIisjqdKnfC+mNERETU23VqRvW27dtRXlmFBWvXQ6/X39Sxer0eC9auR3llFbZt396ZbhARERHdMp0KSy31x3Yd/hrxr66D9lp9u47TXqtH/KvrsOvw10hISOBq0URERGS1OnUZrkVycjLmzZsHH8WAm6o/lpCQwPpjREREZNW6JCwBQG5uLp6ePx/Hjh9vV/2xraw/RkRERLeBLgtLLVh/jIiIiHqTLg9LbbH+GBEREd3ObnlYIiIiIrqdcciHiIiIyAKGJSIiIiILGJaIiIiILGBYIiIiIrKAYYmIiIjIAoYlIiIiIgsYloiIiIgs+P8gNaabwvxymQAAAABJRU5ErkJggg==", "text/plain": [ "Graph on 6 vertices" ] }, "execution_count": 86, "metadata": { }, "output_type": "execute_result" } ], "source": [ "print(max(AZI_vred))\n", "AZI_vred[max(AZI_vred)]" ] }, { "cell_type": "code", "execution_count": 87, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "125/16\n" ] }, { "data": { "image/png": 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", "text/plain": [ "Graph on 6 vertices" ] }, "execution_count": 87, "metadata": { }, "output_type": "execute_result" } ], "source": [ "print(min(AZI_vred))\n", "AZI_vred[min(AZI_vred)]" ] }, { "cell_type": "code", "execution_count": 88, "metadata": { "collapsed": false }, "outputs": [ ], "source": [ "alpha = 3\n", "AZI_vred = {}\n", "for G in drevo:\n", " a = AZIvrednost(G, alpha)\n", " AZI_vred[a] = (G)" ] }, { "cell_type": "code", "execution_count": 89, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "40\n" ] }, { "data": { "image/png": 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", "text/plain": [ "Graph on 6 vertices" ] }, "execution_count": 89, "metadata": { }, "output_type": "execute_result" } ], "source": [ "print(max(AZI_vred))\n", "AZI_vred[max(AZI_vred)]" ] }, { "cell_type": "code", "execution_count": 90, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "625/64\n" ] }, { "data": { "image/png": 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", "text/plain": [ "Graph on 6 vertices" ] }, "execution_count": 90, "metadata": { }, "output_type": "execute_result" } ], "source": [ "print(min(AZI_vred))\n", "AZI_vred[min(AZI_vred)]" ] }, { "cell_type": "markdown", "metadata": { "collapsed": false }, "source": [ "Če primerjamo različne alfa lahko opazimo najprej, da pri alfa = 0 ima graf maksimalno in minimalno AZI vrednost pri istem grafu. Zanimivo je to, da pri alfa z negativnimi vrednostmi ima zvezda maksimalno AZI vrednost, kar je obratno od alfa s pozitivnimi vrednostmi. Opazimo tudi to, da naprimer en graf, ki ima maksimalno AZI vrednost npr pri alfa = -1, isti graf ima minimalno AZI vrednost pri alfa = 1 in tisti graf ki ima pri alfa = -1 minimalno AZI vrednost ima pri alfa = 1 maksimalno AZI vrednost." ] }, { "cell_type": "code", "execution_count": 91, "metadata": { "collapsed": false }, "outputs": [ ], "source": [ "\n", "def generiranje_dreves(n):\n", " A = graphs.RandomTree(n)\n", " return A\n" ] }, { "cell_type": "code", "execution_count": 92, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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i0nk///wzRo0aBZlMhkWLFmHhwoWoXr266FjF8MhbgxkYGCAkJAQFBQWYMmUK+N9ZosqjVqvh7++Pjh074sGDBzh//jyWLl2qkcUNsLw1XtOmTbF161bExMRAKpWKjkOkk/7880/069cP06ZNg5ubG9LT09G5c2fRsV6Js4mWGDVqFPbv34+srCw0b95cdBwinRETE4PJkyejRo0a2L59O/r16yc6UqmwvLXEgwcP0L59e7z33nuIi4vjty+J3tCDBw/g7u4OqVSKoUOHYuvWrVr1uRJnEy1Rr149hIWF4ezZs9iwYYPoOERaLS4uDu3bt8f+/fsRHh6O6OhorSpugOWtVXr27InZs2dj4cKFyMzMFB2HSOsUFBRg1qxZcHR0RKtWrSCXy+Hq6qpRpwCWFmcTLVNYWIjOnTtDqVTiwoULMDEp+3WDifRReno6XF1dceXKFaxevRpfffVVhX5ppqppb3I9ZWxsDKlUipycHCxYsEB0HCKNp1QqsXr1avz3v/9F9erVceHCBXz99ddaXdwAy1srWVlZYdWqVdi4cSNOnjwpOg6Rxrp69Sp69OiBhQsXYvbs2UhJSYFlKX7cVxtwNtFSKpUKvXv3Rk5ODrKysmBubi46EpHGUKvV2L59O2bOnImGDRsiLCwM9vb2omNVKB55aykDAwOEhobi0aNHmDZtmug4RBrj1q1bGDx4MCZMmIDhw4cjMzNT54obYHlrtWbNmsHf3x9RUVGIiooSHYdIuH379sHKygpJSUnYt28ftm3bhjp16oiOVSk4m+gAFxcXHD58GHK5HM2aNRMdh6jKPXr0CDNnzsT27dsxaNAgBAYGolGjRqJjVSqWtw7Izc2FlZUV2rRpg+PHj2v9p+hEZZGQkIDRo0fjzp072LRpE8aNG6eV522XFf+W6wBzc3OEhoYiLi4OPj4+ouMQVYlnz55h/vz56N69O9555x1kZmZi/PjxelHcAI+8dcrXX3+N7777DhcuXNCZ06GISpKdnQ1XV1f8+OOPWL58OebMmaN31/theeuQgoIC2NrawtDQECkpKTA2NhYdiahCqVQqbNq0CfPnz4eFhQWkUik6duwoOpYQnE10iImJCaRSKS5duoTFixeLjkNUoX777Tf07t0bs2fPxvTp05GWlqa3xQ2wvHVOhw4d4OnpiXXr1uH06dOi4xC9MbVajfDwcFhZWeHy5cs4efIkvL299f66PpxNdJBSqYSDgwOuX7+OrKwsmJmZiY5EVC737t3D5MmTsWvXLri6usLX1xf16tUTHUsj8MhbBxkaGiIsLAy5ublwd3cXHYeoXI4cOQIrKyvExcUhOjoa4eHhLO5/YHnrqBYtWsDPzw/h4eGIiYkRHYeo1PLz8zF16lT069cP7du3h1wux+effy46lsbhbKLD1Go1hg0bhpMnT0Iul6Np06aiIxG9UnJyMkaNGoX//e9/8Pb2xuTJk/XmvO2y4pG3DqtWrRq2bt0KExMTjBs3DiqVSnQkohI9f/4cS5YsQbdu3VCvXj2kp6djypQpLO5XYHnruPr16yM4OBjHjh3Dli1bRMchKubnn39G165dsXLlSnh4eODcuXNo06aN6Fgaj+WtB/r27Yvp06dj7ty5+PHHH0XHIQLw16zn5+eHjh07Ii8vD4mJiViyZAmqV68uOppW4OatJ548eQKJRIKaNWsiKSkJNWrUEB2J9Niff/4JNzc3HDt2DNOmTYOXlxdq1aolOpZW4ZG3nqhVqxakUinkcjmWLVsmOg7psejoaFhaWkIul+PIkSPw8/NjcZcDy1uPSCQSLF26FGvWrMG5c+dExyE98+DBA7i6umL48OHo3bs35HI5+vbtKzqW1uJsomcUCgV69OiBGzduICMjA3Xr1hUdifTAyZMnMXbsWDx69AhbtmzBiBEjeCbJG+KRt54xMjJCeHg47ty5g5kzZ4qOQzru6dOn+Prrr9G7d2+8//77kMvlGDlyJIu7ArC89VDLli3h4+OD4OBg7NmzR3Qc0lHp6emwtbXFd999h40bN+L48eP8mb4KxNlET6nVagwZMgQJCQmQy+V4++23RUciHaFQKODl5YUlS5bA0tISUqkU7dq1Ex1L57C89didO3dgZWUFGxsbHDx4kP+UpTd25coVjB49GklJSZg3bx6WLl3K01IrCWcTPdawYUMEBQXh8OHD2Lp1q+g4pMXUajUCAwNhbW2Nmzdv4syZM1i1ahWLuxLxyJswZcoUhIaGIj09nV9LpjK7desWJkyYgB9++AETJ06Et7c36tSpIzqWzmN5E/Lz89GxY0fUq1cP586d49eTqdT27t2LiRMnwsDAANu2bcPAgQNFR9IbnE0IpqamkEqlkMlkWLFiheg4pAXy8vIwfvx4ODs7o1u3bpDL5SzuKsYjb/rbsmXL4OnpiYSEBHTp0kV0HNJQZ8+exejRo3H37l34+PjAzc2NH3YLwPKmvykUCtjb2+Pu3bvIyMhA7dq1RUciDVJYWIjFixdj3bp16NatG8LCwvDee++JjqW3OJvQ34q+fXnjxg3MmjVLdBzSIHK5HJ07d8bGjRuxevVqxMfHs7gFY3nTC1q3bo2NGzciMDAQBw4cEB2HBFOpVPD29oatrS1UKhVSUlIwb948GBoaio6m9zibUDFqtRqDBg1CSkoK5HI5GjVqJDoSCXD9+nWMGTMGZ86cwaxZs7BixQqYmJiIjkX/h0feVEy1atWwbds2qNVqTJgwAfzvu35Rq9UICwtD+/btce3aNcTFxWH9+vUsbg3D8qYSNW7cGNu2bcOBAwewbds20XGoity9exeff/45xowZAycnJ2RlZaFnz56iY1EJOJvQK02cOBFRUVHIyMiAhYWF6DhUiQ4fPoxx48bh2bNn+P777zF06FDRkegVWN70So8ePUKHDh3QqFEjnD17FkZGRqIjUQXLz8/HN998g61bt6Jfv34ICgpCkyZNRMei1+BsQq9Up04dSKVSpKSkYPXq1aLjUAVLTk5Ghw4dEBYWhu+++w4HDx5kcWsJlje9lp2dHRYsWIBly5YhNTVVdByqAM+fP8fixYvRrVs3vPXWW0hPT8fkyZP5TUktwtmESuX58+fo2rUr8vLyIJPJYGpqKjoSldNPP/0EV1dXZGRkYMmSJZg/fz7nMC3EI28qlerVq0MqleL333/H3LlzRcehclCpVPDz80PHjh3x+PFjJCYmwsPDg8WtpVjeVGpt2rTBunXr4O/vj8OHD4uOQ2Xwxx9/4JNPPoG7uzsmTJgAmUyGTp06iY5Fb4CzCZWJWq1G//79kZGRAblcjgYNGoiORK+xc+dOTJkyBTVr1kRwcDD69OkjOhJVAB55U5lUq1YN27dvx/PnzzFp0iR++1KD5ebmYsSIEfjiiy/Qp08fyOVyFrcOYXlTmTVp0gQBAQHYs2cPQkJCRMehEpw4cQJWVlY4dOgQIiMjsWPHDrz11luiY1EFYnlTuQwZMgRjx47FjBkzcO3aNdFx6P88ffoUM2fOxMcff4wPPvgAcrkcLi4uomNRJeDmTeWWl5cHa2trNG3aFKdPn+ZlQgVLS0vDqFGjcO3aNaxZswbu7u4wMODxma7i/7JUbnXr1kVYWBjOnz8PLy8v0XH0lkKhwMqVK9GlSxeYmJggLS0NX331FYtbx/HIm97Y/PnzsX79eiQnJ8PGxkZ0HL1y+fJljB49GsnJyZg/fz4WL16MGjVqiI5FVYDlTW/s2bNn6NKlCwoKCpCWloaaNWuKjqTz1Go1AgMDMWvWLLz99tsICwtD165dRceiKsR/V9Ebq1GjBqRSKa5evYpvv/1WdBydd/PmTQwcOBBffvklRo4ciYyMDBa3HmJ5U4X48MMPsXbtWmzevBnHjx8XHUdn7dmzB1ZWVkhNTcWBAwfw/fffo3bt2qJjkQCcTajCqFQq9O3bFz/++CPkcjnPK65AeXl5+OqrrxASEgInJycEBASgYcOGomORQDzypgpjYGCAkJAQPH36FJMnT+a3LyvImTNn0L59e+zevRvBwcGIjY1lcRPLmypW06ZNsXXrVsTExCAiIkJ0HK1WWFiIuXPnomfPnvjPf/6DzMxMjB07ltfcJgCcTaiSjBo1Cvv370dWVhaaN28uOo7WycrKwqhRo3Dp0iWsWLECs2fP5peg6AU88qZK4evrCzMzM4wZMwZKpVJ0HK2hVCqxbt06dOrUCWq1GqmpqZg7dy6Lm4pheVOlqFevHsLCwnDmzBls2LBBdByt8Ouvv6JXr16YN28evvrqK6SmpsLa2lp0LNJQnE2oUs2ZMwc+Pj4soldQq9UICwuDu7s7zM3NERYWhh49eoiORRqO5U2VqrCw8IUJwMTERHQkjXL37l18+eWXiI2NxZgxY+Dj4wMzMzPRsUgLcDahSmVsbIyIiAj88ssvWLhwoeg4GuXgwYOwtLTE6dOnsXv3boSEhLC4qdRY3lTprKyssGrVKmzYsAFxcXGi4wj3+PFjTJ48GZ9++ikkEgmys7MxZMgQ0bFIy3A2oSqhUqnQu3dv5OTkICsrC+bm5qIjCZGUlIRRo0bhzz//xIYNGzBp0iSet03lwiNvqhIGBgYIDQ3Fo0ePMG3aNNFxqtzz58/h4eGBbt26oUGDBsjIyMCXX37J4qZyY3lTlWnWrBn8/f0RFRWFqKgo0XGqzKVLl2BnZ4c1a9Zg2bJlOHv2LFq3bi06Fmk5ziZUpdRqNVxcXHD06FFkZWWhWbNmoiNVGpVKBT8/P8ybNw8tWrSAVCqFRCIRHYt0BMubqlxubi6srKzQpk0bHD9+XCd/rut///sf3NzccOLECcyYMQNr1qzhj1RQhdK9vzWk8czNzREaGoq4uDj4+PiIjlPhduzYASsrK1y6dAnHjh2Dj48Pi5sqHMubhHB0dMTMmTMxf/58ZGdni45TIXJzc+Hi4gIXFxd88sknkMvl+Pjjj0XHIh3F2YSEKSgogEQiQfXq1ZGcnAxjY2PRkcrt+PHjcHNzQ35+Pvz9/eHi4iI6Euk4HnmTMCYmJoiIiMCPP/6IxYsXi45TLk+ePMGMGTPQp08ftG3bFnK5nMVNVYLlTUJ16NABnp6eWLduHU6fPi06TpmkpaVBIpEgMDAQmzdvxtGjR/Huu++KjkV6grMJCadUKuHg4IDr168jKytL46/voVAo/j5nu3379pBKpWjbtq3oWKRneORNwhkaGiIsLAy5ubmYMWOG6DivlJOTg48++ghLlizBt99+i8TERBY3CcHyJo3QokUL+Pn5ISwsDLt27RIdpxi1Wo3vv/8eHTp0wN27d5GQkABPT0/UqFFDdDTSU5xNSGOo1Wp8/vnnOHXqFORyOd555x3RkQAAN2/exPjx43Ho0CF8+eWXWL9+PWrXri06Fuk5ljdplHv37sHKygpWVlY4fPiw8G9fxsbGYtKkSTAyMkJQUBAGDBggNA9REc4mpFHq16+P4OBgHDt2DFu2bBGW4+HDhxg7diw+++wzdO/eHXK5nMVNGoVH3qSR3N3dsW3bNshksir/QPD06dMYM2YM7t+/D19fX4wePZqXbiWNw/ImjfTkyRNIJBLUqlULiYmJVfLBYGFhIRYtWgRvb2989NFHCA0NRYsWLSr9fYnKg7MJaaRatWpBKpUiKysLy5Ytq/T3y8rKQqdOnbB582Z4eXkhLi6OxU0ajeVNGksikWDp0qVYs2YNzp07VynvoVQqsW7dOnTq1AnVqlVDamoqvvnmGxgaGlbK+xFVFM4mpNEUCgV69OiBGzduIDMzE3Xq1CnxcSqVqsxnpvz6668YPXo0EhISMGfOHCxfvlyrL45F+oVH3qTRjIyMEB4ejjt37mDmzJl/3y6TyeDu7g5biQQmJiYwNDSEiYkJbCUSuLu7QyaTvfQ11Wo1QkJC0L59e/z222+Ij4/H2rVrWdykVXjkTVohKCgIEyZMgL+/P2Kio3EqPh5NGzVEb1trWLduhbqmtZCX/wSZOVdw4kIm/rh9Bw49eyIgMBAWFhZ/v86dO3cwadIk7N27F2PHjoWPjw/q1q0r8E9GVD4sb9IKarUanTp1QkZ6Opo3aYx10ydgoH0XGBkV36YVCiUOJCRhjl8QbtzPRVBQEFxcXPDDDz9g/PjxUKkqppJiAAAgAElEQVRUCAgIgLOzs4A/CVHFYHmTVoiMjISrqytG9HHA1nkzYFrT5LXPyX9agKlevpAejYODgwPi4uIwYMAAbNu2DW+//XYVpCaqPCxv0ng5OTmwtrbG0B5dEewxu0wfTKpUKozxXI+oY/FYtmwZFi5cyC/ckE7gB5ak8b6cNAnv1DeH/1z3YsXtv/sAWg4Zg5o9BsJ27HSczXjx9zANDAywde4MNG/SGHEnT7K4SWewvEmjpaWl4VR8PLymjS82lew8cRpfb/oeC8Z+AVnoFthbW6L/rEX47ebtFx5nWtME66aPx6n4+FeehUKkTVjepNFCQkLwbuNGGGjfpdh9G6NiMW5gX0wY1A9tW/wHm76ejGaNGuK72B+KPXaQvR2aNmqI4ODgqohNVOlY3qTREs+fh6OkfbGzSp49f460n3PQp7PNC7d//F8bJMovFXsdIyNDOEqskZSYWKl5iaoKy5s0WvbFi7Bu3arY7Xcf5EGpVKHxW+Yv3N7Y3Bw3798v8bWsW7eEPDu7xPuItA3LmzSWSqVCYWEh6prWeulj/v35oxpqVEPJH0qa1TZFYWEhVCpVRcYkEoLlTRrLwMAAxsbGyMt/Uuy+BvXqwtDQADfv5b5w++3cB8WOxos8fJwPY2Nj4b/OQ1QR+P9i0miW7dohM+dKsdtrVK8OSZvWOJ6a/sLtJ1LSYWdV8o83ZOZchZWlZaXkJKpqLG/SaHZdu+LEhUwoFMpi933tMgRB+49g+4GjuPTrb/h60/f47dZtTHYu/nNlCoUSJ9My0cXOripiE1U6I9EBiF7Fzc0Nfn5+OJCQBOee3V64b3jvHrj3MA+e2yNw414uLFs2x0FvTzRv0rjY6+xPSMQft+/Azc2tqqITVSp+PZ403kf29vj9ymVkR35fqmua/Fv+0wJYj5qK5q3fR9ypU5WQkKjqcTYhjXbhwgVcvnIF/7t9B1O8fMt8pohKpcJUL1/cuJ+LgMDASkpJVPVY3qSxwsLCYG9vj+bNm8Nn82ZEHI2Dm6c38p8WlOr5+U8LMNbTG9KjcQgKCnrhut5E2o6bN2mc58+fY/bs2fD19cX48eOxZcsWGBsbw9zcHBMmTMA5+SV4TR+HQfZ2L72e9/6ERMzaFIAb9+4jIiICLi4uAv4kRJWH5U0a5fbt2xg2bBjOnTsHf39/TJ48+e8rAY4YMQKdO3fGpIkTMXT+CjRt1BCOEmtYt24Js9qmePg4H5k5V3Ey7a9f0vnww7Z4fus2nj9/LvhPRVTx+IElaYy0tDQ4Ozvj2bNn2LVrF+zt7V/6WJlMhuDgYCQlJkKenY3CwkIYGxvDytISXezs4ObmBhsbG4wdOxYxMTG4cOEC2rYt+fxvIm3E8iaNEBYWhkmTJsHa2hq7d+/Gu+++W6bnv+zX4/Pz89GpUycYGBggJSUFtWq9/Kv2RNqEH1iSUM+fP8fMmTMxZswYjBw5EqdPny5zcQN46VfeTU1NERMTg6tXr2LGjBlvGpdIY7C8SZg7d+6gT58+2LJlC7Zs2YJt27bBxKTs53G/Trt27bBlyxYEBQUhPDy8wl+fSATOJiRE0b5dWFiIXbt24aOPPqrU91Or1Rg7dix27drF/Zt0Asubqlx4eDgmTZoEKysrxMbGlmsmKY+i/dvQ0BDJycncv0mrcTahKlO0b48ePRouLi44c+ZMlRU38Nf+HR0djStXruCrr76qsvclqgwsb6oS/9y3/fz8EBQUVCn79utYWlrCz88P27Ztg1QqrfL3J6oonE2o0slkMjg7O6OgoAAxMTHo3r270DxqtRpjxoxBbGwsLly4gA8++EBoHqLyYHlTpZJKpZg4cSIsLS0RGxuLZs2aiY4EAHj8+DE6deqE6tWrIzk5GTVr1hQdiahMOJtQpVAoFJg1axZGjRqFL774AmfPntWY4gaA2rVrIyYmBpcvX+b+TVqJ5U0Vrmjf9vX1ha+vL7Zv3y5k334dS0tL+Pr6IjAwEBEREaLjEJUJZxOqUOnp6XBycsLTp0+xa9cu4fv266jVaowePRp79uxBWloa2rRpIzoSUamwvKnCREZGYsKECWjXrp1G7duv8/jxY9ja2qJGjRrcv0lrcDahN1a0b48cORLDhg3DmTNntKa4gf+/f+fk5GDmzJmi4xCVCsub3sjdu3fRt29fbN68GZs3b0ZwcLBWHrlaWVnB19cXAQEBiIyMFB2H6LU4m1C5paenw9nZGU+ePEFMTAx69OghOtIbUavVGDVqFPbt24e0tDS8//77oiMRvRTLm8qlaN/+8MMPERsbi//85z+iI1WIov3bxMQEiYmJWvmvCNIPnE2oTBQKBWbPno2RI0fi888/x9mzZ3WmuIG/9u/o6Gj8/PPP+Prrr0XHIXopljeV2t27d/HJJ5/Ax8cHPj4+CAkJ0ckj0/bt22Pz5s34/vvvERUVJToOUYk4m1CpZGRkwNnZGY8fP0ZMTAx69uwpOlKlUqvVcHV1xf79+7l/k0ZiedNrRUVFYfz48Wjbti327NmjUzPJqzx69Ai2traoWbMmkpKSNPJboqS/OJvQSykUCnzzzTcYMWIEhg4dioSEBL0pbgCoU6cOoqOj8dNPP3H/Jo3D8qYS3bt3D/369cOmTZuwadMmhIaG6uS+/TrW1tbYvHkztm7dih07doiOQ/Q3ziZUTGZmJpycnPD48WNER0fDwcFBdCSh1Go1Ro4ciQMHDkAmk6F169aiIxGxvOlFO3bswLhx49C2bVvExsaiefPmoiNphEePHkEikcDU1BSJiYncv0k4ziYE4K99e86cOXBxccFnn32GhIQEFvc/1KlTBzExMbh06RJmzZolOg4Ry5v+/769ceNGbNy4EWFhYXq5b7+OtbU1fHx88N1332Hnzp2i45Ce42yi5zIzM+Hs7IxHjx5x3y4FtVqNESNG4ODBg5DJZLCwsBAdifQUy1uP7dy5E25ubvjggw+wZ88eziSllJeXB1tbW9SuXRvnz5/n/k1CcDbRQ0qlEnPnzsUXX3yBIUOGcN8uo7p16yI6Oho//vgjZs+eLToO6SmWt565f/8++vXrhw0bNmDDhg0IDw9HrVq1RMfSOh06dMCmTZvg7++P6Oho0XFID3E20SNZWVlwcnJCXl4eoqOj0atXL9GRtJparYaLiwsOHTrE/ZuqHMtbT0RHR8PNzQ3vv/8+9uzZgxYtWoiOpBPy8vIgkUhQp04d7t9UpTib6DilUol58+Zh+PDhcHJywrlz51jcFaho/7548SK++eYb0XFIj7C8ddj9+/fRv39/rF+/Ht7e3pBKpdy3K0HHjh2xadMmbNmyBbt27RIdh/QEZxMdJZfL4eTkhIcPH2Lnzp1wdHQUHUmnqdVqfPHFFzhy5AhkMhlatWolOhLpOJa3DuK+LUZeXh5sbGxgZmaG8+fPw9jYWHQk0mGcTXSIUqnEt99+i+HDh2Pw4MHct6tY0f6dnZ3N/ZsqHctbR9y/fx8DBgzAunXrsH79ekRERHDfFsDGxgYbN26En58f92+qVJxNdEDRvv3gwQPs3LkTvXv3Fh1Jr6nVagwfPhxHjx5Feno6WrZsKToS6SCWt5aLiYmBm5sbLCwssGfPHrz33nuiIxGAhw8fwsbGBubm5jh37hz3b6pwnE20lFKpxPz58zFs2DAMGjQI58+fZ3FrEDMzM0RHR0Mul2POnDmi45AOYnlrodzcXHz66afw8vLivq3BJBIJNmzYAF9fX+zevVt0HNIxnE20THZ2NpycnJCbm4sdO3bg448/Fh2JXkGtVmPYsGE4fvw4ZDIZ92+qMCxvLbJr1y6MHTsWrVq1wt69ezmTaImi/futt95CQkIC92+qEJxNtIBSqcSCBQvw+eef49NPP+W+rWWK9u+srCzMnTtXdBzSESxvDZebm4uBAwdi7dq18PLyQlRUFExNTUXHojKSSCTw9vbG5s2bERsbKzoO6QDOJhqsaN++f/8+du7cyX1by6nVagwdOhQnT55Eeno6//VEb4TlraF2796NMWPGoGXLlti7dy8/6NIRDx48gI2NDRo0aICEhATUqFFDdCTSUpxNNIxSqcTChQsxdOhQDBgwAImJiSxuHVKvXj1ER0cjIyOD+ze9EZa3Bnnw4AEGDhyINWvWYO3atdixYwf3bR1ka2sLb29v+Pj4YO/evaLjkJbibKIhLl68CCcnJ9y7dw87duxAnz59REeiSlS0f8fFxUEmk3H/pjJjeWuA2NhYjBkzBu+99x73bT3y4MEDdOzYEQ0bNuT+TWXG2UQgpVKJRYsW4bPPPkP//v25b+uZf+7f8+bNEx2HtAzLW5AHDx5g0KBBWL16NfdtPdapUyesX78emzZtwr59+0THIS3C2USAH3/8EU5OTrhz5w527NiBvn37io5EAqnVanz22Wc4deoU0tPT+etHVCo88q5ie/bswX//+18YGxvjwoULLG5CtWrVEBQUhHr16mH48OF49uyZ6EikBVjeVUSlUsHDwwNDhgxBv379kJiYyF8Yp7+Zm5tj586dSE9Px7fffis6DmkBlncVKNq3V65ciTVr1mDnzp2oXbu26FikYTp37ox169Zh48aN3L/ptbh5V7J/7ttRUVH45JNPREciDaZWqzFkyBDEx8dz/6ZX4pF3Jdq7d+/f+3ZqaiqLm16rWrVq2L59O8zMzPDFF19w/6aXYnlXApVKhcWLF8PZ2RmffPIJEhMTYWFhIToWaQlzc3NER0dDJpNh/vz5ouOQhmJ5V7CHDx9i8ODBWLFiBVavXo3o6Gju21RmnTt3hpeXFzZs2ID9+/eLjkMaiJt3Bbp06RKcnJxw+/ZtREZGol+/fqIjkRZTq9VwdnbGmTNnkJ6ejubNm4uORBqER94VpGjfrl69OlJTU1nc9MaK9u+6devy/G8qhuX9hlQqFZYsWQJnZ2f06dMHSUlJ3Lepwrz11lvYuXMn0tLSsGDBAtFxSIOwvN/Aw4cP4eTkBE9PT6xcuRIxMTHct6nC/fe//8XatWvh7e2NAwcOiI5DGoKbdzn99NNPcHJywq1bt7hvU6VTq9UYPHgwEhISkJGRgf/85z+iI5FgPPIuh/3796Nz584wMjLivk1Volq1aggJCUGdOnUwfPhwPH/+XHQkEozlXQYqlQpLly7F4MGD8fHHH/P8bapSRfv3hQsXsHDhQtFxSDCWdyk9fPgQzs7OWL58OVauXIldu3ahTp06omORnunSpQvWrFmDdevW4YcffhAdhwTi5l0KRfv2zZs3ERkZif79+4uORHqsaP8+d+4c0tPTuX/rKR55v0bRvm1oaIjU1FQWNwlXtH/Xrl0bX3zxBfdvPcXyfgmVSoVly5Zh8ODB6N27N5KSktC6dWvRsYgA/LV/79ixA6mpqVi0aJHoOCQAy7sEeXl5cHZ2xrJly7BixQru26SR7OzssHr1anh5eeHgwYOi41AV4+b9Lz///DOcnJxw48YNREREYMCAAaIjEb2USqXC4MGDcf78eWRkZKBZs2aiI1EV4ZH3Pxw4cACdO3dGtWrVkJKSwuImjWdgYICQkBCYmppy/9YzLG/8dfSyfPlyDBo0CI6OjkhOTsb7778vOhZRqdSvXx87d+5ESkoKPDw8RMehKqL35Z2Xl4chQ4Zg6dKl8PT05L5NWsnOzg6rVq3C2rVrcejQIdFxqAro9eZdtG//+eefiIiIwKeffio6ElG5qVQqDBo0CElJSUhPT+f+reP09sj7hx9++HvfTk1NZXGT1jMwMEBoaChq1qwJFxcX7t86Tu/Ku2jfHjhwIHr16oWkpCTu26QzivbvpKQkLF68WHQcqkR6Vd55eXn47LPPsGTJEixfvhy7d+9G3bp1RcciqlBdu3bFqlWrsGbNGhw+fFh0HKokerN5//LLL3BycsIff/zBfZt0nkqlwsCBA5GcnIyMjAy8++67oiNRBdOLI+8ffvgBnTp1glqtRkpKCoubdN6/92+FQiE6ElUwnS5vlUqFFStWYNCgQXBwcEBycjLatGkjOhZRlWjQoAF27NiBxMRE7t86SGfL+9GjRxg6dCg8PDywdOlSxMbGct8mvdOtWzesXLkSq1evxpEjR0THoQqkk5v3P/dtqVSKgQMHio5EJIxKpcKnn36K1NRUZGRkoGnTpqIjUQXQuSPvgwcPonPnzlCpVEhJSWFxk94zMDBAWFgYjI2NuX/rEJ0pb7VajZUrV2LgwIHo0aMH922ifyjav8+fP48lS5aIjkMVQCfKu2jfXrRoEZYsWYI9e/bAzMxMdCwijWJvb48VK1Zg1apVOHr0qOg49Ia0fvPOycmBk5MTfv/9d0ilUgwaNEh0JCKNpVKpMGDAAFy4cIH7t5bT6iPvQ4cOoVOnTlAqlUhJSWFxE73GP/fvESNGcP/WYlpZ3mq1GqtWrcKnn36K7t27Izk5GR988IHoWERaoWHDhoiKisK5c+ewdOlS0XGonLSuvIv27YULF2Lx4sXYu3cv922iMvroo4/g6enJ/VuLadXmffnyZQwePBi///47wsPDMXjwYNGRiLSWSqVC//79IZPJkJGRgXfeeUd0JCoDrTnyPnz4MDp16gSFQoHk5GQWN9EbMjAwQHh4OKpXr879WwtpfHkX7dsDBgyAvb09UlJS0LZtW9GxiHRC0f599uxZLFu2THQcKgONLu/Hjx/j888/x8KFC+Hh4YF9+/Zx3yaqYN27d4enpydWrlyJY8eOiY5DpaSxm/fly5fh7OyMX3/9FeHh4XBychIdiUhnqVQq9OvXD+np6dy/tYRGHnkfOXIEnTp1wrNnz5CSksLiJqpkRfu3kZER928toVHlrVarsXr1avTv35/7NlEVa9So0d/79/Lly0XHodfQmPJ+/Pgxhg0bhgULFmDRokXct4kE6NGjB5YvX44VK1bgxIkTouPQK2jE5n3lyhU4OTnh119/RVhYGJydnUVHItJbKpUKn3zyCTIzM5GRkYEmTZqIjkQlEH7kfeTIEdja2qKwsBDJycksbiLBDAwMIJVKYWhoiBEjRkCpVIqORCWo8PJWqVSlepxarcaaNWvQv39/dOvWDSkpKfjwww8rOg4RlUOjRo0QGRmJM2fOcP/WUG9c3jKZDO7u7rCVSGBiYgJDQ0OYmJjAViKBu7s7ZDJZsec8fvwYw4cPx/z587Fw4ULs378f9erVe9MoRFSBevbsiWXLlsHT05P7twYq9+Z9+fJlTJo4Eafi49G0UUP0trWGdetWqGtaC3n5T5CZcwUnLmTij9t34NCzJwICA2FhYYErV67A2dkZ165dQ2hoKIYMGVLRfyYiqiBKpRL9+vVDVlYWMjIy8Pbbb4uORP+nXOUdGRmJCRMmoMlb5lg3fTwG2neBkZFhsccpFEocSEjCHL8g3LifixkzZiAgIAANGjTA3r17OZMQaYFbt26hQ4cOaNu2LY4fPw5Dw+J/16nqlbm8IyMj4erqCte+veA/1x2mNU1e+5z8pwWY4uUL6ZGTsLa2Rnx8PGcSIi1y6tQp9O7dGx4eHrwGuIYoU3nn5OTA2toaQ3t0RbDHbBgY/DWZn0mXY33ELqT9nIMbd+8jds1iOPXo+sJzVSoVxnp6Y/fp88jKyoKFhUXF/kmIqFJ5enpiyZIlOH78OBwdHUXH0Xtl+sDyy0mT8E59c/jPdf+7uAEgv6AA7Vu/B9/ZU1/+RgYG+G6uO5q8ZY5JEyeWPzERCbFgwQI4Ojpi5MiRuHnzpug4eq/U5Z2WloZT8fHwmja+2FTSz64TVnw5FkN62r/yNUxrmsBr+jicio8v8SwUItJchoaGkEqlqFatGkaOHMnzvwUrdXmHhITg3caNMNC+yxu94SB7OzRt1BDBwcFv9DpEVPUaN26MyMhIxMfHY8WKFaLj6LVSl3fi+fNwlLQv8aySsjAyMoSjxBpJiYlv9DpEJIaDgwOWLFmCZcuWIS4uTnQcvVXq8s6+eBHWrVtVyJtat24JeXZ2hbwWEVW9hQsXolevXhgxYgT3b0FKVd4qlQqFhYWoa1qrQt7UrLYpCgsLS/1VeiLSLIaGhoiIiAAAuLq6cv8WoFTlbWBgAGNjY+TlP6mQN334OB/GxsYvnLFCRNqlaP+Oi4vDypUrRcfRO6VuT8t27ZCZc6XE+x4/eYqMX64g45e/7r/2501k/HIFv928XeLjM3OuwsrSshxxiUiT9OrVC0uWLMHSpUtx6tQp0XH0SqnL265rV5y4kAmFovg/jy789AtsxkyDzZhpAIDZmwNgM2YalgSGFXusQqHEybRMdLGze4PYRKQpFi1aBAcHB4wYMQK3bt0SHUdvlPobljKZDBKJBLtXe8C5Z7dyv2FsfAKGzl+BtLQ02NjYlPt1iEhz3Lx5Ex06dICVlRWOHDnC659UgVIfedvY2MChZ0/M8QtC/tOCcr1Z/tMCzPXbDoeePVncRDrk7bffRkREBE6ePIlVq1aJjqMXyvSJYUBgIG7cz8VUL98ynymiUqkw1csXN+7nIiAwsEzPJSLN5+joiMWLF2Pp0qWIj48XHUfnlfmqglFRURg5cmSZryo41csX0qNxiIiIgIuLS7kDE5HmUiqV+Pjjj3Hp0iVkZGSgcePGoiPprDe+nrfX9HEYZG/30ut5709IxFy/7bhxPxdBQUEsbiIdd+PGDXTo0AHt27fn/l2JKuyXdBwl1rBu3RJmtU3x8HE+MnOu4mTaX7+k08vBAd8HBPAysER64sSJE+jTpw+WL1+ORYsWiY6jk8pd3kVkMhmCg4ORlJgIeXY2CgsLYWxsDCtLS3Sxs4Obmxs/nCTSQ0uWLMGKFSsQFxeHHj16iI6jc964vP9NpVLxm5NEBKVSid69e+Pnn39GRkYGGjVqJDqSTqnwlmVxExHw1/VPIiMjoVQq4erqymsZVTA2LRFVmiZNmkAqleLEiRNYvXq16Dg6pcJnEyKif1u8eDFWrlyJU6dOoXv37qLj6ASWNxFVOqVSCUdHR+Tk5CA9PZ37dwXgbEJEla5o/37+/DlGjRrF/bsCsLyJqEq88847kEqlOH78ONasWSM6jtbjbEJEVcrDwwOrVq1CfHw8PvroI9FxtBbLm4iqlEKhgKOjIy5fvoyMjAw0bNhQdCStxNmEiKqUkZERoqKiuH+/IZY3EVW5ov372LFjWLt2reg4WomzCREJs3DhQqxduxanTp3i/l1GLG8iEkahUKBXr164evUq0tPTuX+XAWcTIhKmaP8uLCzE6NGjuX+XAcubiIRq2rQppFIpjhw5gnXr1omOozU4mxCRRliwYAG8vLwQHx8Pe3t70XE0HsubiDSCQqGAg4MDrl27hoyMDDRo0EB0JI3G2YSINAL377JheRORxnj33XcRHh6Ow4cPY/369aLjaDTOJkSkcebPn49169bh9OnT6Natm+g4GonlTUQaR6FQoGfPnrh+/TrS09O5f5eAswkRaRwjIyPs2LEDT58+xZgxY7h/l4DlTUQaqWj/PnToELy9vUXH0TicTYhIo3377bdYv349zpw5g65du4qOozFY3kSk0Z4/fw4HBwdcv34dGRkZqF+/fomPU6lUMDDQnzFBf/6kRKSVqlevjqioqGL7t0wmg7u7O2wlEpiYmMDQ0BAmJiawlUjg7u4OmUwmOHnl4pE3EWmFQ4cOYcCAAZg3bx5SkpNxKj4eTRs1RG9ba1i3boW6prWQl/8EmTlXcOJCJv64fQcOPXsiIDAQFhYWouNXOJY3EWmNgQMH4tChg2j+9ttY7z4BA+27wMjIsNjjFAolDiQkYY5fEG7cz0VQUBBcXFwEJK48LG8i0gqRkZFwdXXFiL4O2Dp3Bkxrmrz2OflPCzDVyxfSo3GQSqUYMWJEFSStGixvItJ4OTk5sLa2xtAeXRHsMRsGBgb4LvYHbI39Ab/euA0AaNfyP/AYNxL97Dq98FyVSgU3T2/sOn0eWVlZOjOhsLyJSOP1cnDAb5d/QUaY/99H3AfOJsHQ0AAW774DAAg9dALrI3ZBFuqHdi1bvPD8/KcFsB41Fc1bv4+4U6eqOn6lYHkTkUZLS0uDra0tdq/2gHPPV1/npH6fofCaPgHjB31S7L7Y+AQMnb8CaWlpsLGxqay4VYanChKRRgsJCcG7jRthoH2Xlz5GqVRix/F45BcUws6qbYmPGWRvh6aNGiI4OLiyolYpI9EBiIheJfH8eThK2pd4Von88jV0nfQ1Cp49Q+2aNRG7xgMfvte8xNcxMjKEo8QaSYmJlR25SvDIm4g0WvbFi7Bu3arE+9o0fxfpof5IDNyEyc4DMNbTGz9eu/7S17Ju3RLy7OzKilqlWN5EpLFUKhUKCwtR17RWiffXqF4dFs3egW3b97F66jhYW7wHn517X/p6ZrVNUVhYqBNXKWR5E5HGMjAwgLGxMfLyn5Tq8Wo18Oz585fe//BxPoyNjXXiGijcvIlIo1m2a4fMnCvFbl/wXTD62XVCs8YN8Cj/KXacOI349Cwc3rjipa+VmXMVVpaWlRm3yrC8iUij2XXtij3RO6FQKF/40PLW/VyMXuaFG/dyYVa7Ftq3eg+HN67Ax51LPg1QoVDiZFomnIcNr6rolYrneRORRpPJZJBIJKU6z/tVdO08b5Y3EWm8Xg4OuJ7zCzLD/Ut1TZN/08VvWGr/ak9EOi8gMBA37udiqpdvmc8UUalUmOrlixv3cxEQGFhJCasey5uINJ6FhQWCgoIgPRoHN09v5D8tKNXz8p8WwM3TG9KjcQgKCtKZi1IBnE2ISItERkZiwoQJaPKWObymj8Mge7uXXs97f0Ii5vpt5/W8iYg0weXLlzFp4sS/f0nHUWIN69YtYVbbFA8f5yMz5ypOpv31Szq9HBzwfUCATh1xF2F5E5FWkslkCA4ORlJiIuTZ2SgsLISxsTGsLC3Rxc4Obm5uOnFWycuwvIlIJ+jbr8ezvImItJD+/GeKiEiHsLyJiLQQy5uISAuxvHWpS2kAAAAaSURBVImItBDLm4hIC7G8iYi0EMubiEgL/T8yUrzegbhDDwAAAABJRU5ErkJggg==", "text/plain": [ "Graphics object consisting of 10 graphics primitives" ] }, "execution_count": 92, "metadata": { }, "output_type": "execute_result" } ], "source": [ "\n", "test = Graph({0: [1, 2, 3, 4]})\n", "test.show()" ] }, { "cell_type": "code", "execution_count": 93, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "1" ] }, "execution_count": 93, "metadata": { }, "output_type": "execute_result" } ], "source": [ "choice(range(6))" ] }, { "cell_type": "code", "execution_count": 94, "metadata": { "collapsed": false }, "outputs": [ ], "source": [ "from random import choice\n", "def AZI_max(graf, n=100, tol=10^-9, i=0, alpha=3):\n", " najboljsa = trenutna = AZIvrednost(graf, alpha)\n", " najboljsi_graf = graf\n", " for j in range(n):\n", " T = n/(j+1)\n", " e = graf.random_edge(labels=False)\n", " i += 1\n", " K = Graph(graf)\n", " if i > n:\n", " return(AZIvrednost(K, alpha))\n", " K.delete_edge(e)\n", " if K.is_connected():\n", " e = K.complement().random_edge()\n", " else:\n", " A, B = K.connected_components()\n", " e = (choice(A), choice(B))\n", " K.add_edge(e)\n", " a = AZIvrednost(K, alpha)\n", " if a > najboljsa:\n", " najboljsi_graf = K\n", " najboljsa = a\n", " if a > trenutna or exp((trenutna - a) / T) > random():\n", " graf = K\n", " trenutna = a\n", " najboljsi_graf.show()\n", " return (najboljsi_graf, najboljsa)" ] }, { "cell_type": "code", "execution_count": 97, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "Graphics object consisting of 200 graphics primitives" ] }, "execution_count": 97, "metadata": { }, "output_type": "execute_result" }, { "data": { "text/plain": [ "(Graph on 100 vertices, 46052604311303188647463921/18280792200314880000000000)" ] }, "execution_count": 97, "metadata": { }, "output_type": "execute_result" } ], "source": [ "B = generiranje_dreves(100)\n", "AZI_max(B,10000, alpha = -10)" ] }, { "cell_type": "code", "execution_count": 0, "metadata": { "collapsed": false }, "outputs": [ ], "source": [ "from random import choice\n", "def AZI_min(graf, n=100, tol=10^-9, i=0, alpha=3):\n", " najboljsa = trenutna = AZIvrednost(graf, alpha)\n", " najboljsi_graf = graf\n", " for j in range(n):\n", " T = n/(j+1)\n", " e = graf.random_edge(labels=False)\n", " i += 1\n", " K = Graph(graf)\n", " if i > n:\n", " return(AZIvrednost(K, alpha))\n", " K.delete_edge(e)\n", " if K.is_connected():\n", " e = K.complement().random_edge()\n", " else:\n", " A, B = K.connected_components()\n", " e = (choice(A), choice(B))\n", " K.add_edge(e)\n", " a = AZIvrednost(K, alpha)\n", " if a < najboljsa:\n", " najboljsi_graf = K\n", " najboljsa = a\n", " if a < trenutna or exp((trenutna - a) / T) > random():\n", " graf = K\n", " trenutna = a\n", " najboljsi_graf.show()\n", " return (najboljsi_graf, najboljsa)" ] }, { "cell_type": "code", "execution_count": 98, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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tfEN+o6xaGe49eoStRV7JgKcv0qjTYxAyqZRcuZwZg/v94+Doq2wtTAnZcxCPWQtQU1PD2sqKzt26l8g9VMXKWEHII4J7CVGwZvuu46cw7tCLew/zNql2GVY4fVK5ohZr9xwkLT2D2w+SuXLrDvF3k9h6+ARf1rPm6LL5WPbypIKmBhsPHGbd3jDWTZ+ApUl1zsVfY/TC5Rjp6tDvq1Zv1DatcprIFQqys7NRUSlZvzLR0dEEBgYSceIEF+LiyMzM/L838RYfDMLnpGT9n1qKRZw4QQt7G5pY1yHYYhw1qxrz4HEqM4PWc/nWXS6ELkdHqwJZ2dl4+vzKmt0H2HL4OABe33Zk/ojBheavq5VR5VnaS6atWsuEPt3o0coZAGtzE27dT2b2mo1vHNzzSwqUpMCekJCA56BBHAoPx1ivMi0dbHH7on+hFbdbN23E398fF2dnli1fTs2aNQtd411+MAhCSVNy/m8t5V6t2Q5gjQlNrOti3tWd4D/3M6bnNyzatJ2TcZfY7jsNiUTC2EUr8PttB6H7wvnKsSG2FqZoldNEv1JFYuKv8TIjs0hvVCaVIn+LcfSY+OtYW1m9s2eF/9ZLzi+oZqhdid99pvzritvRC5dTp05tpFIZtjY21KlblyuXL3MmMvKNPhhWrFwpxhSET44I7iWAXC4nMzOTCpoaRd7TLKuOtVkN4u8kkZ6RycQlq6mip0vvab4AWJpWQ0erNkkpj7h48xYbDoSTlZ0DQPCfB6hUvjxTlgdTTb8ylqbVOXvlGgs2bMW9vavyHo+fPuf2g2SSHj4C4MrtuwAY6FRCV0uL/Weicf2qw396xnfVSy5YUK3gVNHi5K+4dW1kz3e+fqzbG8aLh8msDz2HcWWdN/pgGOcfgI2NjZgNJHxyRHAvAaRSKWpqasqa7QVlZmVx6eYdnGytyM7NIVcux729qzLNEvznAeas2Ugjy9ocX7kA1xETuXLrLkmPHpObm0sLB1s2HzrGIJ+FPHmehlFlHTw7tWXqADflPXYci2DAjF+U/91zig8AUwe6YWNuwr2Hj1mzZg3Pnz/Hy8uLZs2aIZG82XLXt02f/FMvOT4+Hg8PD3q3bk7glLFv3PPXLKtO0F+beIfuC6ND08aETJ/wxh8MQ339cHNzQ6FQ0KtXr9eeIwgliZjnXkLk75Oqo6VFB6dGVDPQIzn1CTMD13P47HllFUaXoeN4+PQZfmOHUt1An8NnYxkw4xfcWruwdtoEyjfvRD0LMzKzsyivocGt+8mkPn+B77CBDOzY5q3alJaegW2foVQxNaNHz574+flx6dIlrK2t8fLyws3NDQ2Not828hVMn8wdPvCNesn/NGe+uYsLR48eJSc3t8h733Vpz+Jxw7n/6DHj/Vex//RZnr98Sa1qVZjYrwddm3/x14rbwZgY6RO22Bef4A1MWhbEiG6dWDh6iPJaEecvMnl5MKfiLqOqooKthSmGOtr8FnaUOrVr49K8ucjHCyWeCO4lhJeXF1s3bcTRqg7HYi/w8MkzZc32nzz7Kot13X/0GO+lgew7Fc3jZ8+pVKEcyY+fcG7tEixNa9BmpDeHz52nd5sWjOvVFeveQ1AoFMSFrsCimvEbt6e4kgIKhYKwsDAWLVrEzp07qVixIgMHDmTYsGHUqFGj0Plvkz7JV3C1a0hISKFeclRUFA4ODqyeNIY2TRyUr1+4dhPXkd4M7NCamITrnL1yDYlEgqN1HSa79+Jk3GWmrQrhzOpFGOpq02PyLI6cu0CZvwaHDXW1+fpLR2Vwjzh/kbajJ/ND3+50cGpEGVVVYuKv09y+Hg7uw8nKzkYilZGYnCLy8UKJJuZ9lRDu7u4kJqfQo1UzEneGknl0F3d3rmOzz5RCVRgNdLQZ3aMLT9PSyM7N4WVGJtvnTsPStAYAbm2bk5mVTcCOPVi5DUZFJiUnN5cZgaGkpWe8UVvS0jNw/3k+IXvDCAgIUAYviURCixYt2L59O9euXWPgwIGsWrUKMzMzOnXqxMGDB1EoFMr0SZdmjuTK5VTv1AdN56+p33eosqLlqwbP/jXvW0dNM3q3bo6HhwcJCQnK9/OnivZu0wIDHW3ln13HT2NmbMidBykM/aYDZVRV+dGjN+U1NPDwWcjoHl2oWE6T6CsJ9J0+l5eZWehqVUCtjCo9XZ25dT+ZlNQnyvuM+XUFXt9+zQ99u2NpWgOLqsZ0bf4F2lrlmTdiEEkPH7Nl1mR+95nCrfir2NjYsH79+rf96xaE904E9xLCzs4OF2dnxvkH/GsQrlW9CmeDlxCxciFDOn9F/5/nc/HGLdLSM/Cat4TyGhrsX+TDmUA/xvfphoaaGpsOHsG2z3dsCT9GTk7RtAbkpUe2hB/Dts9QNh8+wbp16147iGhiYsLcuXO5e/cuS5cu5dq1a7Rs2RJra2s6duiAfiUtzly6ShlVFf78ZQZx65czz2sQFctpFrnWtsMnOH3xCka6OkgkEpaM98JQuxKegwYpj8mfKlowrZOVnc26vWG4t2/Nnl9n0f8rV76sZ8XJ85eYP9KT2/eT8Q35jczsbJztbIi4cAmvbztSoZwmZdXVCJzyPSoyGcl/Bffkx084FXcZPe2KNB00GoN2PXD+bhzHYvL2hO3o1ATjyrqs2XPwr9LIS+jazBE3NzdCQ0P/+S9YED4wkZYpQRISErCxsaFrM8e3GjBs5fUDpsaGpKQ+YduRCP6Y/zNtHRsUer9yxYo8SE3lUFQM+toVad3IQTltsriSAsvfsqSAQqHg8OHDTJ8+nfDwcDo1c+Thk6ccWTb/H89LTH5IY49R7Fk4g/ZjpzKye2dG9ejMlvBjdJ04g6ioKOzs7FBXV8dnSH9G9eisPHfTgSO4TZvNra1rMaqsA+TNye8xeRZ7T0UBUK6sOr/Pnkqrhna0HTWJ5NQnJKY8IvX5c4KnjqP3tDn0adOCwCnfc/LCJRwHjUa7Qnnmeg3CyrQGw+f7c+biVcqoqmJcWYcKGhqoqEg5E+gPiIqYQskleu4liLm5OQEBAYTsDcP95/lvnEbJyc3l4JlzbDsSAUANo8Lb38lkUsppluWg/xxG9+hCypNnXExOxXt5MB6zFuC9PJiLyal07tadqKgoDoaFvXWQkkgkODs7Y2VlRRW9yly+eQf72jXp5j0D/Xbdses7jJXbdxc6Ry6X0/enuXzv1lWZVsrX0akJxnqVCQwMfO1U0dW79tC2cQNlYAeYvDyY1OcvaGxVm3o1zRjr1pVuk2ZyPuEG80Z4Enf9FsmpT8jOyWXInEVYmdZAq1y5v9qT18/x7NQO9/au7DsdxfXE+9Qw1GdAB1fmDBvI5Vt3OBd/XXk/qVRa7DcNQfjYRHAvYXr27ElISAibD5/Ats/QImkU76WBHD13gZv37nP2yjW6TvyZw2fPczflIcFTv8e8ihFD5izidNwVrt1NYn7o7+w/fZZOfxUVe/T0GXb163MmMpKMjAxyc3PJyMjgTGQkfn5+/3kGSMSJE7RwsOXGvfss27oL86rG7Fkwk8Gd2zHyl6Ws+fOA8tg5azehIpMxotvXRa6joiKjhb0tJyMiip0qeuveAw6cOVdoBtC1u0ks3rwDEyMD7j18zI650/hxYG8caluw+PedjPdfRVZOjnIa5/OX6cQm3MDvt+2oOrVDX7siAHVNqgFw8vwlOn7RmIZ1a/HsxUu6Nv8CS9Pq5ObKkcvlyvtqllXHd/gADoWHEx0d/Z9+foLwroh57iVQr169aNiwIZ6DBtF14gwMdbVp1cAOWwtTjsVcYPnWP3j6Ig0AuUJBPQszNs2chHlVIxpb1WHiktV0HPcjL9LTMa9iRNCUsbRzbEhOTi4Ho2Lo3K278l7vupZK/krb0H3hONS2YNZ3eVvu1a9lTtyNWyzbuou+7VoSdTmeRZu2ExXk/9o587YWpmwMCwbAytKSmPhryvde3YUKUG5FGB4dw4mVC6miVxnI++by9PkLdkecYcvsKXgvDeTyrbv0cnVhx9EI9LUr0dPVhYEzf0EikdB3+lzaN21EU1tLlm/9Aw11Nb7+0pGY+OtcvZ2IikxW5OfW0akJRpV1CQwMFFMkhRJBBPcSytzcnLBDh4iOjsbX15fQzZvZsD+crJwc1MqoYlfbnEaWdXBv36rQJhoWVY3Z7DOl2Gu+7z1OC6ZPDHW1qfNXDzhfnRrV2HIorx7O0XMXSE59QvXOfZTv5+bK+d5vJb9u3MqNrWvQKqdJZmYmcrmcJo6ObN20kZycXKRSCUF/7Kdvu1bKAVaFQsGSLbuQSaVU1a9MSupT5HI5245EsP/0WfzGDGXjwSOkZ2YRfycJHa0K6GhVQEUmQ62MKpXKl6NNkwaU19DgjxOn2X4kgm9cnNh57CQR5y9x9fZvzFm7iXoWpshkRT8QVVRktHSoR8jatYwcOVLk3oWPTgT3Es7Ozo4NGzbQ3MWFW/FXORvsT/liyhT8mw+xx2nB9ElT67pc/auMQb6rtxOpbqAHQJ+2LWjZoH6h99uMmkTvti1w/6ugWX7BMqlUiru7O/7+/uw8dhLNsurKXajyDZu3mA37wwmaMpb1+8Np//0U0tIzMTM2JGjKWHq0cuaX9b/j/vN8cuVyDHQqEX0lgdTnL/iinpVyoDY8OoY/Tpxm0rIgHj19hkKhYOpAN75xdiLqcgIDZ/1Cc3vbYp/f1sKUkL1holyBUCKI4P6JWLFyJTY2Ngyft/itZtJAXo96qK8f9x6nsnflyvfYyr/TJ6N6dKap5xhmBW2gW4svOX3xCiu3/8nyH0YCKHvOBamqyDDQrkSt6lWBwgXLCk4VjVm7BHnEnkLnLtuyC4A+0+cWen1Mry70adsSgLom1bn9IAVVFRUu3biNdoXyBE/9Xvl+QRdCl2PTewgT+nRjWNeOAMTfTUShUJBwN6nYZ9cqp4lcLuebL5uIcgXCRycGVD8R/+9MmtctSHpfmjg6ciAyhvo1zdkyeyob9odj3XswMwJDWTBqCG6tm7/RdfLGB87RuEkT5WsrVq7k3uNUhvr6FRrQBJBH7Cn2T/+v8nr36/cd4mjMBVRkUuJCV/BFPSt6tW5ebGDPV7CiZlp6BmN/XYGpkQFlVFUB8AnegLRJG0YtWAb89U2jjCpBU78vdiGWIHxIouf+CenZsycKhQIPDw+On7+E7/ABdHRq8tp6LQX3OP2nBUnvUsH0SWfnprR3avTG597Yukb573njAw9JSkri5s2b1KhRQ/kB5+aWV/TsTcsaXLl1h4EzfyEjKxsnG0tMjQ3eqD0dnBoxK2gDVfR0Cdy5j9sPUqhYThOPr9ty5uIVVm7fjY25ifL4mPjrWJvVUE6PPH7+Ep6DBhF26NAb/wwE4V0Ri5g+Qa9WWmxhb/tOFyT9V/njAzFrl7xR8H1VXsGy75Cqa/Dk6VOePHlCv3798Pb2xtTUtFBBsjf5gBs2dzEPHqcikUhQKBSF/imVSsg4vBOZLO/88OgYmg+bwON9m5FJpUxcsprgPw+QlpH3TWliv+6M7fkNTQaNZvH3w5gZtB5bCzPmeQ0qspH4qwuxBOFDEj33T1DBmTSBgYGcjIhgY1iwskb6x97jNH98YKiv338YH3hCbOwRDA0NWbZsGb6+vgQFBdGnTx+8vb2JjY1VThV93Qfc3lORPHj8hC/rWRPgPZpqBnr8cfw001atBaCRZS0Wjv5OGdgLysnJJSzmHHtORSFXKHBr3ZzNh44yc4g7/X+aRzvHhrRsaMfMoLy6MjuORZCY8hD39n/vblVwIZYI7sKHJnrun5GStAfo+vXrcXNz+7+rQr6aRnr58iUrVqxgzpw5JCcn06tXLyZNmsTLly+VH3AxsbFkZ2cjlUoxNTLg6Ys0GlnWYse8nwrdJ+FOEg0HePHkRRrGlXVp4VAPEyMDFCi4dOMOv4UdQVdLi4dPn/KFrRUBk8YwIzCUizdvMabnN8wK2sDp1YtQVyuDy9BxWJpUZ8+pKKob6HHQf06he/X/aR4Xk1M5Exn5bn6wgvCGRHAX3pu3TZ/kjw/80zTC9PR0AgICmD17NklJSfTo0YNJkyZhaWkJwLx58/hhwgRy5XI01dUpr1mW29tCitzXZeg4jHR10NaqwKm4S5y9co3cVwZpAVZPHkPv1i3sy+quAAAgAElEQVQw6dKPFg3qsyfiDHt/nYWthSkAzkPHkfz4CbfuJxOzdinmVY0Knb9g/Ra8lweTkfFmA+CC8K6I4C68V+9rfCAzM5PAwEB8fHy4c+cOXbt2pU+fPnTv3p2uzRzx6vY189ZtZtPBI4RMG8/pi1fZduQEyY+fUL+mGQtHD6FB3VqFrvm6bz75ufN5Xh5877fq70VMCpQfCFKphMwju4qkeFbv3IvHrAXk5uaWmG9VQukggrvwQRQcHzh/4UKh8YHGTZr83+MDWVlZrFmzhpkzZ3Ln9m2q6lfm/LrlyjRQi+ETOH3xClX1KrNswgiMdHUI2XuQhRu2Ehe6AmM93X+8fv7gbnUDPbbN+ZFb95PJyc0lPDqGX9ZvITHlEY7WdVk63gsrsxpFzhc9d+FjEcFd+Cje9fjAqVOnaNy4Mb/7TKGzc1Pl6xeu3cSm9xBc7GzZ7+ejvGf9vkP5qmlDZgzu/49t7P/zPDYdPMKPA/ugXiZvV6aDkedITHlIc/t6vEhPp7FVnULb9BUkcu7CxyK+JwofxbtOUYSEhFBFX48OTo0LvZ5f7uBQdEyhxV9l1cpwPCbutddLS8+g/8/zCNkThlyuYNKyQLyXBXLx5i06NXMkMsiPA/6zKatW5rXXyC/UVnAhliB8KGIqpPBZKG6nJoDymho0sapD6vMX/BZ2lGOxcXRwasSpuCtYvDL4CX8P7o5ZuIIHj1NZN30CPV1dXvtN49CSuUVey/e+C7UJwj8RaRnhs1DcTk35rt1NYuDMBRw5dx4JoADKqqlRRkWFqQPdCg/u/pVykcmkGOnqcnH9iv+wEGso1S1qihWqwkchgrvwyZPL5chkMlZ5j2ZAh9avPS4tPYNnaWnce/SYHpN9SEl9QkZ2NplZ2aiVUcXarAaNLOugXaEcP68ORV1dnW+dm/5fC7HE1nvCxybSMsInr7idmoqjWVYdzbLqqJcpQ8qTp8wZ7oFnp3ZFUi4L1m9BTU2N1atXv3Udm1cXYonALnwsIrgLn4VXd2oqaO/JSBQKqFW9Cgl3kxjvv4pa1arg/lc9+Fd75fmlhj+FQm2C8DoiuAufhYI7Nb0afJ++eIn3skDuJj9Eu0I5ujg7MXNIf1RViv76v7oV4atbHr7JQqy9H7hQmyAUR+Tchc9CdHQ09vb2Rea5v61/quT4vhZiCcL7IIK78Nl4N6WG33yGS0kq1CYIrxK/mcJn4592avo3BbciXPGGWxGKwC6UZOK3U/hsfCpbEQrChyDSMsJn532UGhaET40I7sJn6U1KDR+IPEdSysOPshWhILxvIrgLn7XXzXCR5+bSsFEjFi1aJGa4CJ8lEdyFUiV/hkvr1q2RSCTs2bPnYzdJEN4LMaAqlCr5M1xcXV05fPiw2ERD+GyJ4C6USq6urmRkZHDs2LGP3RRBeC9EcBdKJSsrKwwMDNi3b9/HboogvBciuAulkkQiwdXVVQR34bMlgrtQarm6uhITE8P9+/c/dlME4Z0TwV0otVq2bAnAgQMHPnJLBOHdE8FdKLX09fWpV6+eSM0InyUR3IVSLT/vLpZ7CJ8bEdyFUs3V1ZUHDx5w/vz5j90UQXinRHAXSrWmTZtStmxZkZoRPjsiuAulmrq6Os2aNRPBXfjsiOAulHqurq4cOXKE9PT0j90UQXhnRHAXSj1XV1cyMzM5evTox26KILwzIrgLpV7dunUxMjIqlJp52236BKGkEcFdKPUkEgn29vYEBQXhYG+Puro6MpkMdXV1HOzt8fLyIjo6+mM3UxDeiqjnLpRqBXds0teuSJvGDthamFFBU4NnaS+Jib/GgcgYEpNTcHF2ZsXKlWLHJuGTIIK7UGoV3Gt17vCBdHBq/Nq9VnceO8k4/wCx16rwyRDBXSiVQkND6d27N71bN2fJeC80y6r/6zlp6RkM9fUjZG8YISEh9OrV6wO0VBD+PyK4C6VOfHw8VlZWVNaqgFwu596jx2yZPZVOzRwByM7JYfLyYHafOMP1pHtoldOkpUN9fIYOwECnEu4/z2fz4RPExsaKFI1QYokBVaHUGezpiXb5cvRydcHv+6FF3n+ZkcnZKwlMdu9FVJA/v/tM4eqdRL4ePw2pVMqS8V4YalfCc9Cgj9B6QXgzKh+7AYLwIUVFRXEoPJzffabQ2blpscdoldNk3yKfQq8tGvMdjQaO5Pb9ZKoZ6OE7fABdJ84gOjoaOzu7D9F0QXgrouculCpBQUFU0dejg1Pjtzrv6Ys0JBIJFctrAtDRqQnGepUJDAx8H80UhP9MBHehVIk4cYIW9jbFzop5nYzMLCYuDaSXqzMVNPOCu4qKjBb2tpyMiHhfTRWE/0QEd6FUuRAXh62F2Rsfn52TQ8+pPsjlchaPG17oPVsLU85fuPCumygI74TIuQulhlwuJzMzkwqaGm90fHZODt0nzeJG0n0O+s9R9trzaZXTJDMzE7lcjlQq+klCySKCu1BqSKVS1NTUeJb28l+PzQ/s8XcTCfOfg45WhSLHPH2RhpqamgjsQokkgrtQqlhZWhITf40XL9NJuJukfP1G0n3OXb2GdoXyGOnq8K33DKKvJLBz3k/kyuXcf/QYAO0K5SmjqgpATPx1rK2sPspzCMK/EcFdKFWaODqyddNGTsVdptWIicrXxy5aAUC/di350aM3O46eBKB+38Lz4MMWz8HZzpacnFwORsXQuVv3D9d4QXgLIrgLpYq7uzv+/v48S3uJPGLPa4/7p/cAdhyLIDE5BXd393fdREF4J0T5AaHUae7iwq34q8SsXfJGNWVelZaegW2foVS3qEnYoUPvoYWC8N+JkSCh1FmxciX3Hqcy1NfvrTflkMvlDPX1497jVFasXPmeWigI/50I7kKpY25uTkBAACF7w3D/eT5p6RlvdF5aegbuP88nZG8YAQEBomiYUKKJtIxQahWs5+47fAAdnZq8tp77jmMRjPdfLeq5C58MEdyFUq3gTkzGepVpYW+LrYUpWuU0efoijZj46xyMytuJqbmLC8tXrHirHrtY4CR8LCK4CwIQHR1NYGAgJyMiOH/hApmZmaiqqCCRSPAYNIiBAwe+UfXH/OtEnDjBhbg4MjMzUVNTw8rSkiaOjri7u4sqksIHIYK7IBRDLpdz8uRJmjZtypkzZ3BwcPjH41/9BtDSwVbsxSp8VGKeuyAUQyqV4uDggLq6OkeOHPnH4F4wd/+7z5Q32ovVxsZG5O6F90r03AXhH7i4uKClpcW2bduKfV/sxSqUVCK4C0IBxeXMpVIJ9evVL5Izj4+Px9bWlq7NHJkxpB/eSwPZHRFJemYWNasZs8p7NPa1LQBQKBRMDwhh5fbdpD57QUPLWmhpaHAgOlbsxSq8FyK4CwL/X87cc9Agbidc5dBiX74YPAYXe1uGdG6PnrYW1+7eo4ahPmZVjACYs3YTs4I2EDhlDDWrVmFm0HoOn41FvYwaJrVqi5WuwjsngrtQ6hXMmc8dPvCNcuaJKQ/JzMrid58pnLp4hROxcRxZNr/Y6ysUCow79GJk985M6NMNgMysLAy+6kn3ll+yYttuoqKixCwa4Z0SE3CFUi0/Z961mSMxa5fQ2bnpa7fgU1GR0dm5KTFrl9DVxQmAF+kZ7Dx6EvvaNenmPQP9dt2x6zuMldt3K8+7kXSf+49ScW34d/BWK1OGZvWteZmRJfZiFd4LEdyFUis+Pp6BAwdiaVKdozEXqNymG2bf9OengHWvrTkzePavlG/eCbta5vRu05whcxZxLTGJZVt3YV7VmD0LZjK4cztG/rKUNX8eAOD+o1QA9LUrFbqWnnYlklNTxV6swnshgrtQag329ESjjCpJDx/hN3YoFzesYM6wgcwL3YzfbzuKHL/t8AlOX7yCka4OEomEpeNHYKirTXZOLnY1zZn1nTv1a5kzuPNXeHzdhmVbdxU6XyIpfD2FQoEECbYWppw9d5aEhIT3+bhCKSOCu1AqRUVFcSg8HBNDA77+sglfNW1EDUMDujb/AteGdkRdvlro+MTkh3jNX0LItPG8zMhgzK/LmbQsCN/hA1EoFGiWVafLhJ/Qa9sdrRZdOBETx817DwAw0Mnrsef34POlpD5BX7sSWuU0yc2VY21tzfr16z/MD0D47IngLpRKQUFBVNHXo7OzI2GR57h6+y6Qt3XesZg42jZpoDxWLpfT96e5fO/WlZcZmTxPT8dQVxuAjk5NUFcrw6GoGCQSOOg3m2PL5/Mk7SXPX6Yjl8sxMTLAQKcS+8+cVV4zKzubw2fP08S6Tt5erKqqfOvcFDc3N0JDQz/sD0P4LIkVqkKpFHHiBC3sbZjYrwfPX6ZTp8cgZFIpuXI5Mwb3o6eri/LYOWs3oSKTMaC9Kw7uXuhqVUBDTQ3IG2S1Nq3BmUtXsTKrQVk1NWYFr+dG0n0UCgXlm3fG1sKENo0d8AnegEUVI87FX2f51l08S3vJd75+9GjZDGvzGgROGQuAh4cHDRs2FHPfhf9E9NyFUulCXBy2FmZsPHCYdXvDWDd9AlFB/gRNGcv80N8J/mM/AFGX41m0aTuBk8fiNX8J7Rwbol6mTKFrWZuZALDl0HGsew/mwJmzDO7cDqlEwoAOrrjY1yNkTxi9XJ0ZNs8fn+ANaKir4/Xt1wAcPnueRpZ1kEqlLBnvhaF2JTwHDfqwPxDhsyOCu1DqyOVyMjMzqaCpwXj/VUzo040erZyxNjehT9uWjOrRmdlrNgJw9NwFklOfUK1Tb9bsPoD/b9u5dT+Za4n3CNy1FwBrsxoAtHCox6O9v3FpwyqkEilyhYKs7BxmDulPeY2y2NWyIGnXerKO/cH1LcF0atYEgHuPHuPevhUAmmXV8R0+gEPh4URHR3/4H47w2RDBXSh1pFIpampqPEt7ycuMzCL11mXSvMAM0KdtC/YunEnFcuX4bdZkzq5ZgpGuDlX1KtPpS0cA5AoFqioydp04TfnmnanYqgvP0tKwq2WOVCJhw/5w0jIyaWJdp9B9MjKzAHCytcKuloXy9Y5OTcTcd+E/Ezl3oVSysrQkJv4aHZwaMStoA9X0K2NpWp2zV66xYMNW3Nu7AqCjVYEX6Rk8fvacHlNmAZCbmzcHPmRvGKH7D9GzlQu25qacDvTj4ZOnqMhk3HmQQr0+33H26jU2HDjMltlTqGtSXXl/uVzOgvVbAVg4akihtqmoyMTcd+E/E8FdKJWaODqyddNGYtcuYXrAOobNW0zy4ycYVdbBs1Nbpg5wUx7bwqEesSHLlP/dZpQ3MpmUZvVtGNPzG9qOnkTFcuVIS89At6IWAKfiLoNEwqYZ3kRejqf/z/MJX+JLXZPqyqqQ+8/kpV1MjQ2KtM/WwpSNYcHv+acgfM5EbRmhVIqOjsbe3p7ffabQ2bnpW5/vMnQcthZmfFnfiq4TZ6Aik6GnXRHvft3RVC/L2EUr6PdVK+aP8ASgldcPmBgZ0KaJA+P9A7j38DFjenZhZtB6Hu/bTMXy5Qpdf/XOvXjMWkBubq7Ypk/4v4ieu1Aq2dnZ4eLszDj/AFwb2b9RHfZX5eTkMN4/ABd7W8yrGBH8x36Gz1uCTCalvoUZxro6rN65l6cv0oi7cYvjsRdZtWMPze3rsWfBTO6mpDAzqPhFS09fpKGmpiYCu/B/E8FdKLVWrFyJjY0NQ339CJwy9q0C6UH/OfT7aR437z2grFoZ6ppU58SqBQB4+izieXo63ssCycrOUc6fBwiZNp7mDvW4/yiVhLtJAJy/dpPyGmWppq+HtlZ5IG8xlbWV1Tt+YqE0EcFdKLXMzc0JCAjAzS0vv/42Oyl95+tH6L5DuLVujkwqYdvhEyzevAMXe1vKa6hz6eYtsrJzAKhdoyqPnj6nTo2q9GrdHO+lgcqplgDNvvsegNWTx9D/K1dycnI5GBVD527d38NTC6WFCO5CqdazZ08UCgUeHh4cP38J3+ED6OjU5LX13Hcci1DmzEOmjVeuZP271vsq7j5Ioa1jA/q0bUHXiTPQ1dLieuJ9lk8YCUDKk6eYGRuy0nsUNQz12XcqmmHz/KlUPq/XvuNYBInJKbi7u3+4H4TwRuRy+SeTKhMDqoJA0Z2YWtjbYmthilY5TZ6+SCMm/joHI8+RmPKQ5vb1WDZhBOZVjYpcp+D+qKu8RzFwZl6qZt30CcoPAmu3wXRr8SVTCszIceg/nLZNGvBD3+5Y9hyEftXqnD5z5sM8vPBaxW27qKamhpWlZZFtF//Jx/hQED13QSAvRRN26JDyf+bD4eGE7DmoXMxUUNyNW8UG9sGzf2Xl9t3MH+GJAvD0+RWA0T06F6pV09TGkp3HTjKgfWuMKusQHh3L1TuJ/DJyMN/5+pGY8ogvW7V+b88q/Lvitl10+6J/oW0Xt27aiL+/v3LbxYK1gN7Vh8J/IXruglCM5i4u3E64yrcuTuw8for9i3yU78mkUipXqljo+G2HTzA9IISU1Kd879aVQV+3xbKXJ7fvJ7Nl9lQ6NXNUHpuVnY2nz6+s2X0AFZkMqVSK/9ihHD13gZC9YTjZWJKuosaZyMgP9rzC3/6fbRfvPU4lICCABg0avPVevO+rQJzouQvCK/Jrvf/uM4WYhOuoyGQY6Gi/9vj8Wu97Fs6g/dipQF6NmF9GetJ14gy2HTlO+6aNlAFi0abtnIy7xHbfaRhX1mXplp0MnrMIVRUVQqaN5/6jVLyXiwVMH0P+tou9Wzf/1wH2/G0XXRvZM9TXDzc3N1RUVKiqV5nffaa80YeCjY0NAQEB9OzZ850/iwjugvCK/FrvHZwaE5Nwnfg7iRh36IWaqiqNLGszc0h/TI0NgcK13i1NaxS6TkenvMJga/48yMEzMbRwqEddk2pMWhZE/69c+f3QMWUe31BHG/MqRvR0dWH1zr1kZmZ+UoN3n4P4+Hg8PDzo3uJLKpUvh2UvT5IfP6F+TTMWjh5Cg7q1AJi2ai0b9x/mTnIKZVRVsa9lzk+efZErFGw6mFdqwsbc5LX3Ke5DQaFQ0KtXr3f6POI3RxBekV/rXUVFRiPL2gRPHceeBTNZ8cNI7j96TFPPMTx6+gz4u9b7iG5fF7lOfq+tip4unZo5cvHmLaauXEOuXE7w7v1cvHmLTs0ciQzyo71TI9TV8koJiwVMH8dgT0+MdCqRlZPDgcizrJk6jtiQZbRqZEerERNJTH4IQM2qVfAbO5TYkGUcXTaP6ob6tB09mZ8H96OqXmVGL1z2L3fKo1lWncApY+ndujkeHh7vfJtFkXMXhFeoq6vjM6Q/o3p0LvJeWnoG5l3dGde7K83q29B+7FSigvwxqqwDgEnnvgzp0p7WjewBsOs3DJlMypnVfmhXKE81Az2ch47j0dNn+I0dSnUDfQ6fjWWorz/zR3ryXZf29P9pHheTU0XO/QOKiorCwcGB0J9+oM90X7bN+ZGvmjZSvl+/71C+atqQGYP7Fzn3WVoaFVt+U+R1fe1K3PsjbwXyg8ep/LA4gH2no3nyPI0v61mxaOxQLKoak5aegW2foVS3qEnYoUPv7JlE10AQCihY6704mmXVsTarQfydJGWt9+qd+6Dq1A5Vp3bcup/MpKWB2PUbhl2/YUBeFUm7fsP4ceUaADb8PJEGdWrS+0dfLHt6MmfNJmYM6ceQzl8pFzA1btLkgz2z8HcqrnUje3Jz5UU2ZCmrVobjMXFFzsvKzmbFtt2olVGlVvUq3N62FgMdbfq3dyU2ZCmQtxF65wnTuZ50n21zfiQ62J9qBnq0GjGRtPSM91bDX+TcBaGAgrXei5OZlcWlm3dwsrWiT9sWtGxQv9D7bUZNonfbFrh/1Ypa1auyYP0WvJcFkn54p/IYAx1tVk8eW+z1xQKmjyM/FVepQnmaWNVhRmAodWpUQ1+7Iuv3h3Mq7goWBaa/7jp2ip5TfXiZkYmhjja927Qg8tJVquhXxrWhHReu3VDOqIq/k8jJC5c5v26Zclxmybjh6Lfrwfr9h/Do2LZQDf93NUVSBHdBeEV+rXeA7xetpINTI6oZ6JGc+oSZget5lvaSfu1aoqNVAR2tCoXOVVWRYaBdiVrVqwJ/1Yj5a6emf5OWnsF4/9W4ODu/9znQQmEX4uJw+6I/AGt+HMfAmQuo0tENmUyKXU1zerk6E33lmvJ4F3tbzgYv4eHTp6zcvpvfw46SmZ2NcYdeZGZl8+TFC64n3sPU2JDMrGyAQt8GZDIZZVRVOB4Th0fHtu+lhr9IywjCK5o4OnIgMoacnFwSUx7S68fZ1O7uwTc//EwZVRUiVi2guqH+v14nJyeXg5HnaGRZ51+PlcvlDPX1497jVFasXPkuHkN4Q6+m4syqGBG+dC7Pw7Zxe9taTq1eRHZOLiZGf/+da5ZVx7yqEY2t6hAwaQwa6mp0btaUPQtm0v+rVsjlCuXAe+0aValuoIf30kBSnz0nKzub2Ws2cv9RKvcePVZe09rchPMXLryz5xI9d0F4hbu7O/7+/uw8dpL1P098q3NvbF2j/PcdxyJITHmo3B/1dQqWLFi3bt17W9QiFO91qbhFm7ax9fBxLt28w8uMDGzMTbly647yWxnAim1/sn7fIe49SiV03yH8vx+GcWVdyqjmhdbgP/czpuc3bPaZgsesBei0/haZTEpLh/o42tTl8q27NHD34sL1m2RmZSOVSHCwt38nq1hFcBeEV7yLWu9p6RmM+XUF1mY1sDEzLfaYvwuRrebe41TWrVv3XhazCP+uYCpu78lIFArYExFJs/o2PE9LR1VFBSMdbVqN8KZ7yy/5xsUJQx1trt6+S1p6BjKplJzcXCAvFWdjbkLFcuWIv5NX1tm+tgVn1yzh6Ys0rty6w8SlgZyIvYimujoudja4tW7+xqUN3pQI7oJQjAULF+LgYM+QOYsInvr9W805l8vlfOfrR1LKI27fT8bkm/7FFyKLyluG3tzFhb0rVoge+0eUv+1iTk4uT1+8xHtZIHeTHxJ/N5Euzk7MHNKfrOxs9Nv14HTcFdbvC+fh02foaJWnQZ2aDOjYmqG+/spUXAenRuw8dgon28I1+f84fppBPgvRrVgBqUTCppmTaOvYoEh73sUqVhHcBeEVDx8+xNPTExUVVUL3HUIqkbxVrfchcxYRuu8Q69ato1atWgQGBnIyIoKNYcHKAlLWVlZ07tb9gxSQEv5dwVRct5Zf0q3ll0WOSfirF7543HCsXhkk7z55JgBrdu8nMeUhcddvKQfeAX47eISY+BvMCl6Pc30brifdo1Mzx2IDO7ybVaxiEZMgFHD79m1at27No0eP2LNnD5cvX1YWkXrTWu+37j3A1MyMCxcuUOaV+dKipEDJ1dzFhVvxV4lZu6TIB7lCoaDT+GmkPn/BkWXzi5xr2qUfN+89KPSajlYFUvZsAqDZkO85GvP3YKlMJkUmlWJfy6JQaYOCClYZPXf1GpsPnyA2NvaNv+GJnrsg/OXSpUu4uroik8k4duwYNWvWxM7OjoYNG+I5aBBdJ854fa33AimW2Qt+xc3NjQkTJrBgwYJC9xCBveTK33axuFTc8HmLiU24wdHlRQM7wBf1rLh57wFqqqqELfbFxEgfWYHzHz17hqGONjbmJiTcTaJW9SocOXuepjZ1aTViInGhKzDW01Uev+3wCU5fvIKRrg6Sv745Hj9/Cc9Bg958FatCEATFqVOnFDo6OgorKytFYmJiscdERUUphg8frnCwt1eoqakpAIWamprCwd5eMXz4cEVUVJTy2F9//VUBKH777bcP9QjCOxASEqIAFL3btFA8D9umkEfsUQzr2lFRRU9Xce33IIU8Yk+RP8/DtilMjAwUgGL5hBFF3j8T6KcAFKE//aCQyaSKnfOmK54c+F0BKPYv8lHYWpgqvPv3UB5/Z3uIwriyruL8umWK6gZ6il9GDlbII/YoNvtMVgCFfs/+iei5C6Xevn376NKlC7a2tuzatYtKlSoVe5ydnV2h/Pg/pVi8vLw4duwYAwYMwNbWFgsLi/fSduHdcnNzo3///mw6eJjjsXHUqlaF2IQbHFrii4mRQaFj81NxY35dwd0HKQCMXLCMWcEbaGxVR1k9NOiP/VTR01WWNpDJZKzYthutcprYWpgWKm3wb1VG32YVqwjuQqm2ceNG+vTpg6urK5s2bUJDo/iaMsX5pxSLRCJh1apVNGjQgK5duxIREfFW1xY+HlsbG6qVV+fUxSvsORmJrpYWk5cFUdekOhU0NcjOyeHijdvKcs2VK2rRu00L1uw+QI5czov0DM7FX6Op52guhK7g5IVLtHCox/HYi0ilEtqNnox+pUrsXjCDPScjC5U2+Lcqo2+1ivU9f8sRhBLL399fIZFIFH369FFkZWW9l3vExsYqypYtq3B3d38v1xfeveHDhyuM9SorgGL/qMhkCoc6FophXTsqpBLJa4+TSiQKh9oWClUVmeKXkYMVz8O2KQ4smq2oV9NMeUy9mmYKt9Yuijo1qinOBPop9LUrKe7uWKdM0RRMy8gj9ijmj/BUqKmpvdFziNkyQqmjUCiYPn0606dPZ/To0cybN++9DnQGBwfTv39/AgICGDBgwHu7j/BuREdHY29vz+8+U+js3LTQewVTcXK5HJWm7VjlPZoBHQrveRt9JZ5O46eTkZXFwyfPihyTlp6BtdtgBn3dlpj467xIT6dlAzvGLlqBVCpRHpebm3e/qnq63Ni6htU79+IxawG5ubn/+jsr0jJCqZKbm8uIESNYsmQJPj4+TJgwAYlE8u8n/gf9+vXj2LFjDBs2DHt7e2xtbd/r/YT/5vLly8ikUsb8uqLICuWCAVUqlaJWRrXYCqKWJtVRKGB416/xWbOhyDGaZdWRSaU8efGCvaeimDNsIN+4OP1jlVF4u41cRM9dKDUyMzPp27cvmzdvZvny5Xh4eHywe6enp+Po6MiLFy+IjIxES0vrg91beHPx8fHY2tpiZ2FKxIVLqKmqkJ6ZVWST8/yt9uLvJP61x5T701IAACAASURBVG4lJvTtTpvGDsrqoYfPnic2ZCmdf/iJ3Nxclv8wkqu3E3mWlsbRmAtsO3wCUyNDtMppcnT5fFRV/sfeWYdVlXVh/HcvndKSBoKIIEgoggXKYDvq2ImFid3d2ImNggHm2IGJjQWjo34G6Ngt2Eju748rV65ggM5YvM9zH+XkPufss87ea633XdnH2kXrt6Znk/rywjG5KeSSP3LPxy+Bly9fUr9+fQ4fPsz69eupXz97laV/ExoaGqxbtw43Nzfat2/PunXr/vUZQz5yj8xSe32aNWD5zr1sPiQLXr5JSVHYLrPU3vKd+9h9IgYlqRLdp85FWUmKsZ4e5RxLyNVDPRxKsGRLJJU695PrzwDoaGpStYwL4zv7k5GRQeC0eazec4Ck5GSqupdmbv/uCufMLORSv3GTz7uYfy8skY98fB949OiRKFOmjNDR0RFRUVHftC0bNmwQgJgxY8Y3bUc+suP06dMCEH8GDZcHMFeOGigAUdBAX6wPGiZSDm9XyGE/HSbLYV8xcoA8b/39PPfMbYa0aSourQkRl9aEiMFtmgoVZWVxLnyByIiOFJ3q1xIWxkZi96wJIiYsWPi4OQtnW2uReuTd+XKb557vlsnHD4nPpfHfvHkTPz8/EhISiIyM/C50XPr27cvs2bM5ePAgXl5en94hH/8JAgMD2bRuLdfWhypITEg9q+NYrAjnr17HwtiIqu6lFRjKU8PXkZSSisjIIG59KEZ62V1uVbsP5Mb9h5xdMV/uwzf0a8jk7h1oWKUiJjWasHxkf5r4Vgbg7qMnFKrXiu3TxlCtnDuvkt7g0DwAoazKzVu3Put68rnQ+fghEBsbS2BgIO5ubqirq6OkpIS6ujrubm4EBgbmWHvy4sWLlC9fnuTkZI4ePfpdGHaAiRMnUrZsWRo3bsyjR4++dXPy8RaZpfZy0g4a07E1p8PmUK+yF/+7foMhC0LpMGEGfWcv4t6TRJ6+eImnkwMGujrZ9o29HIe5sSE37z+g86TZpKamsnrPAV69ScazlD0xl+JITUvDr+y7/mlubIijdWGOnbv4rpDL4ye5itXkj9zz8V0jPj6egI4diTpwAAsTY3zdnXG2Laagfb33tEzXJav29YkTJ6hZsybm5ubs2rULc3PzT5/sP8SdO3dwcXHBxcWFHTt2oKSU3aDk47+Furo6QZ395cHLTEg9q2cLqAK8ePWaBwlPefzsGYPnLeXgX+do6FOR0OF90dJQJ/7WXTpNmkVUzFksjI0oaKBH7OV4JBIJupoahI8ZRE2vskTsiqLd+Om8ObRV4fjVeg7B0sSItLR0Vu7aT3M/H9YfOMqbN28+63ryA6r5+G4REREhV2T8M2g4dSqU+6AiY1bt6x49ejBnzhxcXFzYunXrB+UEviUsLCyIiIjAz8+PcePGMXLkyG/dpF8a75fa+xzoaGmio6WJjZU5UfOmYFarGZsOHSO2VTx1KniwaNNOzIwM5H03Q2QQvG4rQxeEIpFIaD5iIofm5yxElpaWzoOERI6fv0RaejorRw0gKTmF8F37P9slmW/c8/FdIiIigpYtW9KyWpVPaqln1b7uMnkOkyZNonTp0uzevfu7pvz7+voyatQoRo0ahaenJ35+ft+6Sb8sPlRqLzfQ1lCnUZWK7I85w6w1m2hRrQoLBvbI0neV6NO8AXUrlpOP6L0CelPeqSQpqanMWbuZtPR0mcroW2mDImYF2T0rCBsrc2as2vDZOe6Q75bJx3eIzFzjhpW9CB3eN9dVkPzHTuXPg9G50r7+VsjIyKBmzZrExMTw119/YWlp+a2b9MvC3c0NR1MDQof34+XrJOJvy4pzuLbpxrQeAfi4OWOgq4NhAV3Gh62ibsVymBka8OT5c+b9uY3wXfv5M2g4DQePo5ilGa+S3nD/SSJmRga0qfkbw9o2U+jLTi06cf3eA14nJ5ORITPDSlIpUqmUOhXKsengUbZPH0u1cu5A7nLcgfxUyHx8HOnp6f/5OX28vUUxS3MxuHWTbHodBQ305alh6cd2ihHtWwgzIwOhrqoqKruUEufCF4gX+zcJawtz4ePt/Z+3PS949OiRsLS0FJ6enh/VuPkWz+JXQqamTMrh7WL/3Ek56sW0qekrXh/YIupX9hLmRoZCVUVFmBkZiLoVy4kTS2YJHzdnYaCrLQx0dcTWqaPFtQ1hYu34oUJVWVkENvpdXNsQJs6umC86168lANGoSkURExYsmvn5CMMCumLFyP7CwthI6OloK6RCphzeLixMjEX37t0/+3ryR+75UEBsbCyhoaFEHzvG+QsX5GXhHB0cvkpF9k8hJiYGd3d3/gwaztn4a/wZdYQ9s4Pk65WkUoz19QCZgt6EsNWEDu9DcStLxoet4tCZc1xaHcKeU7E0HDyOmJiY7yZL5mOIjo6mUqVKBAYGMn36dODbP4tfDR/TlPkcxFyKo0zbQNzsbHGyLcqSoX3k64rWb83jp89ITc+ggLYmEiSUKlaEPXMmAvAmOYX+wSGs2h3Fy6QkUlLT2DZtDDW9ygKw4cCRXPfn/FTIfACyrJQqPj64ubmxce0aHE0NCOrsT8iQ3gR19sfR1ICNa9fg5uZGFR8f4uPj/5V2hIWFYVnQhDoVygG8pXYbyH+Zhl0Iwaw1Gxni35QG3hVwLFaEsOF9ef0mmYjdUQra1z8CPD09mTp1KjNmzGDu3LnfxbP41eDq6oqPtzf9g0N4lfR5GSlZkanbXt/bi/2nz3Dl5m0AzsZdIyk5hUWDe/Hm0FbubVvF6+RkKrmUonqvIRSs2QTvrv2p6l6ax7vW8XL/ZiyMjdgZLXO/vEp6w4Dgpfh4e+fqY54fUM1HnrNS8lKR/VN4P9c47tYdLOo0R01FBQ+HEvICCP/cvc/9J4kKucFqqqpUdilF9LmLdKpfK3fa198BevToQUREBD169KCwWcFv/ix+RfQfMIA6tWvTefJslg3vl6t4z/Fz/6Oqe2kGt2nKi9dJ2DftiJJUSnpGBuM6taGZnw8ADxOf8vJ1EpNWrGVsQBsmdm1P5PHT/DF4LPuDJ1HZ1Ymq7qU5cSFLjntCIrsWL87VteQb918cec1KyU1F9twUhT5/4QItKvoD4OFQgmUj+lPcyoIHCYmMD1tF+YA+nI9YyP0niQAUNFBMczQx0OfmfVmhYmdba9bsX/ZZ5/0esGrVKk6dOkXzaj4sGNDjX3kW+fgwoqOjadGiBeYWFkTsikKK5JPvRCZeJb3hbPw/tKhelTV7DxK+az/howfiULQwZ+Ku0nvmQsyNDGlT6zd58PT3ip70btYAgNLFixF97n8s3LSdyq5Osr679yBtx05j5a79hIeH5zo5IN8t8wsjLi6ONm3aYKCjzcaDx7D+ow31B47m8o2c6c1CCGr2HoZOlXrUq+xJy2pV6NChA1euXFHYLi9sUsiea1zDswx/+FSglE1RfMu6sm3aWACW7dgj3+d97S0hBBJkCwtoa5GcnExGRkae7s9/ibi4ODp06EDLalVYNrzfZxkUkEnHhg7vK38W+S6avCEyMhJfX18cHR35+++/WblyJesPHsO5VVc2HDhCWlp6jvulpaWz4cARnFp2IS09HV0tTQYEhzCwVWOa/uZNKZuitKrhS6+m9Zm4fA0ARnq6KCspYV+0kMKxShQpxM37MsZyAW0tklNTWXfgKOHh4XmaleWP3H9hdAoIQEVJiXGd/ang7EBaegbDFoRRrddQLkQsymZgZq7eKFcyDNmyi/tPEkhOTsbOzg41NTVsbWxIfPqUO3fuyNmkLSr6K7BJN65dQ3BwsAKbNBOfyjXW0lCnVLEixN26S71KMragLNXMUL7No8Sn8tF8brSvvzUy1Qgnde9An1mL2HToGA8TnuJSvBgze3emTEk7ANqOncqyHXsV9vVwKMHeORM5eu4iAR07sj8q6ltcwg+LVatW0bp1a2rUqMGaNWvQ0NCgefPmlC1bloCOHWk4eBwWJsZUdXNW0JQ5G3eNfTEydnQVHx/uPn7C81evef0mOVufU5JKyXibu6KqokIZ++Jyn3wm4m7eobCpCSDru0pKUs6dO5fndN584/6LIiYmhqgDB7JlBiwd1oeCNZsScymOSi6l5MvPxl1jSvg6rC3MADhx4RJ1KnjQqoavgvGOvCfLDba1NGOof3NsrBRp/5/yFTs6OHA27mqObU5OSeHi9VtUcHakqLkppob67Dn1Fy52ss6fkprKwb/OMbFrO3mbSzk6foW79e8i67PoNWM+569dZ/mI/pgbGbJy1z5+6zGYCxGLsDAxAqB6OXeWDnuXiaGqrIKWhjqTu7ej4eBxxMbG5mfRfCaCg4Pp0aMHrVu3JiQkBOUsmuo2Njbsj4qSZy0dj45mzf5l8qylUo6O1G/cRJ615O7mxtm4q9Sp4MGEsNUUKmiMg3Vh/rp8lRmrN9K29juSWr8WDWk6PIiKpUvh4+pM5PHTbD16nKi5kwFZ33Up7fJFPI184/6L4v2slEw8eykbNWcVQHr95g21+gwn4dkLNNVlo/mFA3vyR5UK2Y77zniH4NyqCyFDeskDSfBpX7Gnlxcb164hLS2dQfOWUqeCB4VMTeQFEJ6/ek2bmr5IJBJ6NqlP0LLV2FqaY2tlQdCy1Wiqq9Hczyf32tffEJnPwreMC42HjWfTpJHyD+uoDq3YfCia+Ru3Ma6TPwBqqiqYGhpkO07WDKF84/5xCCEYNWoUY8aMoW/fvkyePPmDMzxXV1eF+/mhGFJm3/17xTxGLwmn29S5PEx4irmxIQH1ajCiXQv5tvW9yzN/QCATl6+h5/T52BW2ZP2E4VRwdvxqfTffuP+iyEkBTwhB39kLqeDsgGOxIvLldfqN5O7jJ7SqXpV5AwLRqVIPJaWcXwRlZSUu3bjFtTv3KFHYipajJvMw4Rm9Zy3IcftKpR3p0KEDZcuWxcbGhrZt2xIcHMzWI8e58+gxzUdO5PHT5xjrFVAogAAwoGUjkpKT6TY1mMQXL/EoWYJdMyego6XJhgNHuPPwEW3btv16N+1fQuazAFnNTHVVVYX1GmqqHD17Qf73gdi/KVizCXra2lRyKcX4Tv6YGOihrKz0w2UIfQukp6cTGBjI/PnzmThxIgMGDMhV4ZQPfQQy++6B2L+Z2bszM3t3/uhx2tWplq32KsCWI9Ffpe/mk5h+UaipqTGxS1sFBbxuU4LZcewkhxdOw9LEGIAFG7fTbUowTapWYuXogUil0g+q5AGc+t9lmgybgK6WJt4uTiS+eMm6/YfZFzyJouYF5dst2rSTKeHriF8fSvmAvhS2LS73FVfx8eFG3BXOrpj32YHFrHiV9AbnVl0Vjvk9I6saYfmOvVFVUSZ89CAKGuixas8B2oyZiq2VOZfWLGHN3oNoa6hT2LQg/9y9z4jFy0lLT+d06BzUVFWZsWoDQxYu+2zlwJ8Jn5OVlZKSQqtWrVi/fj2LFi2iffv2X7UN31PfzTfuvwhyYjuqKCvjZFOUco72PEp8yrFz/+Pg/KkUNTeV71fo95bcfvgYqUSCQJC1t7ja2XA6LFj+d8zFK3h3HYBAkJySipFeAaLmTqZ2vxEUNjVhX/Ckd/u27oaLXTGWDO2TjX0XHx+Po4MDDX0qsGxE7nKNMzIyaDt2GusPHvthtGWUlJQIGdKbdnWqcfX2XdqPn8GhM+dQUpLiWtyG4oUsiL18lQurFmXb/97jJxSp34ZVYwfRwLsCS7fuosOEGaSnp/8QgeQvQW4ZvC9fvqRBgwYcPHiQ1atX/yulFuPj43FycsqzLtLX7Lv5bpmfHDnpoWfNYDlzJZ6wbbt59eYNHg4lSE/PIPZyHKHb9rD/9BnuPHwMQIYQFNDWomxJO/acjKXrH7VpWKWS/DxXb9+lfKe+lCpWhEWDetJl8hwKGuhjoKvD5O7tZYG+y3G42tkScymOM3FXCe7XDcjuK96wYQPJKSlE7I5CIpEwPxe5xl0nz8lzXvC3wPsZQsUszTkwfwqvkt7w/NUrzIwMaTpsgsKsJyvMjAwpbGpC3C1ZIPtHyhDKKz7Vp3PKytLT06NWrVpcvHiRyMhIfHx8Pn2iPMDGxoYlS5bQooXMv56bPPmv3XfzjftPjM9hnnadEoyyshJjOrZmwcbtlGzWkbT0dMyNDPmtrAsdf6/B7pMxXL5xm0qlHdl76gwAh86cp1eTBvLjtBo9BQ01VQ4vmIa6mioaaqoUNTfFxEBPZryNjQjdtgdXO1uWbN2FfZFCeDmVBFDwFQ8ePJiJEycyfPhw7Ozs6NixI8fOXWRy93bUreD5QbbmliPRDAheyr2ExDznBX8r5JQhpKWhjpaGOonPX7DrRAyTuuXsPnjy7Dm3Hj7C7G2A9UfJEMor8sSmLlUKfQMDUlNTOXDgwL8ebG7WrBlCCDp06MDRb9h38437T4rPZZ4u2LANgBGLlyssH9OxFe3qVgdg8ead1K3oyZ2Hj0hJTQXgxr2H8mwYr1IlOXH+Ip0b1KbewFH8deUqb5JT0NbUAN4a77d06qQ3yazaHcWwtopMSmdbayJ2L+F0TAzTp0+nd+/eAHh4eOQq13jXokU/xIg9K7JmCO07/RdCgF1hS+Jv32VAcAh2hSxpW9uPl6+TGBWykj98ymNmZMD1ew8YOj8MowIFqF/Z64fKEMoL8sqm7jx5NuGR+5k6dep/lkWUlzz5r953v6ZkZj6+D1y5ckWoq6sLR+sioohZQaGuqiqKmpuKUR1aibSjO0RGdKRIPrxN9G/ZSDhaFxFqKioCENbmpuLK2qXZqrerqaoINVUVMah1ExETFizmDwgU6qqqwqtUSSGRSETHujXkkqgSiURIpRL531KpRKQe2S6m9QgQaqoqYtmIfkJFWVk82LFa4RwhQ3oLQCxevDjHa4qJiRHdu3cX7m5uQk1NTQBCTU1NuLu5ie7du392RfjvETExMQIQfwYNF6vHDhHWFmZCVUVFmBrqi65/1BGJe/4UGdGR4lXUZuHn4SqM9QsIFWVlUcjURLSp6StubFohMqIjxfqgYQL4oe/Fh3DlyhWhoaEhmvpWFj0a/S4KmZoIdVVV4eloL04smSXvR/e2rxJtavoKMyMDoaGmJqp5uImLqxeLltWrCg0NDREXF/eft/1b9d38gOpPiCo+PpyNjQFg2Yh+OFgX5vTFONqNn87YgDb0bFKPZy9f0WjIOGqV92DQ3CVULO3IuavXSXz+AqlUqsCMVKtYG/cStoQM7c2guUs4+Nc5kpKTUVVRoVpZN7YfO0lyaio1PMvI3Qftxk/j3uNEShUrwo4Z4+SBvkoupTDWK8C6CcMU2jxj1QYGzw8lOSXls64xN3o1PwK+pyyL7xFVfHy4GX8FZ5uiXLpxi3n9A+Ukr5mrN3IhYhHmxoaUD+iNirIyUwM7oqulyfRVG9h1IoaTS2bjFdDnu7g//1Xf/XnejnwA79iORc1M+b2SJ7XKe1DEzJSGVSriV9aVmEsyHZgC2lrsnh3ElsPRWJoYoauliaa6GilpaUTOHM9vHq781mMwdx4+xszIAAsTIyp26otdYSui5k5mWFuZUuPUHh0xNzZEAniWssexWBEcixVBS10dUwN9eaDw2ctXqKooc/jMedrXqZ6t3WfjruHk5PTZ1/kzGXaARYsXcy8hka6T5+RaCyercuCiXCoH/gjI7NNjA1qz+XA0k7q1p5JLKWyszBnVoRVFzU2Zv3EbcbfucPz8Jeb1706ZknbYFbZiXv/uvHydxJYj0Uzu3o6oAwc+qG30X+G/6rs/1xuSDznbMSdN6SNnL1DDs4x825hLcUTFnGVspzZsPhxNu9p+SCQSShe3VnhpypcqyYHYs9T0KsPk7h1wsbMh4flL7ApZUsTclCmBHRBA9LmLCm1JfPlSrpVxNu4aBro6WBgb4ueh6PfM9BWX8/T8d2/Od4zMLIuVu/bTduy0z9YTf5X0Rq4cuGTJkh8m3pCbD1hmn67m4fZRkldyiiwelHW9kpISqirKHD174YfT+P9S5Bv3nwyZbMfBbZrS9Ddv7Jt2RLVCLVzbdKNnk3oKUgCZxQUyX5rlO/fR3M8bXS0t4N1L06Px7zx++px7jxOp1LkvelUbMGftJso6lABkqYwGujrsOn6axZt3En/rLn/4VOTG/Qd0+aP220DhGf7wqcjNzSuzjVy+FiPvR0ezZs1yrUbo0DyA9V+gHPhfIa9KofCuT+vr6uDpaM+40AjuPnpCeno6KyP3ceLCZe49SaBEESsKm5owZH4oic9fkJKaysTla7j/JJF7TxJ+OQZvfrbMT4ZMPfRPaUoDHD9/karupdHW1EBfV5t7j58wrG1z0tPTWbXnACcuXMbWylxO998fcwapVIKViTFVy5Rm9tpN1KvkSWVXJ2qX9+DQmb+ZsnJdNq2MDQeOcOfRY9rW/i1be/NaZeZnRW6zLNRUValVu/Z3a9jzkpP+/uwjq8b/8pH9aT9+BpZ1W8hJXs39vIm9fBUVZWXWBw2nw4QZGFZrhJKSFF93F4XZ6o+m8f8lyDfuPxGy6qFn1ZQGKGVTlBv3HzJx+Rq5cT9/7TpNfSvTZOgETPT1MNDVkVWPee+lySwu0NS3MuFjBsnP93v/kYrFBfYdJOngVoU2yYz3EnzcnHG1s83W3i6TZuepyszPjNyoEZ4+fZpOnTpx+PBhKlas+K2broCvUeHrfY3/T5G83ErY8tfyeTx7+YqU1FSM9fUo174nbiVkfS+rxv/PFrd5H/nG/SdCVrbjpzSlMzIySE5JJWJ3FClpaRyaPxVjfb0cX5qPFRfIFLQqoK1FckqqwksjD/Q9TiByxngAOfv12N8XOHf1Omnp6aioqNC0SZP8os/v4XPUCEuXLs3SpUvp2rUrsbGxqKio/NfNzBFfq8LXhzT+P0XyKqAtcy3G3brD6UtxjAloDfwaDN5M5Bv3nwyZbMcPaUr/VsaFuv1Gcvpt1szlm7c5umgG6RkZ3H+SgBCCeX9uJWRLJA8SnmJrZUHcrTufVVxATVVF/tJkpVOvHDUAgKrdBxIVcxZzIwN+K+uaTQv+U9PzXx05GSSpVMr8+fNxd3dn5syZ9O/f/xu0TBFxcXFy+v2KyH2siNwnX9elQW3GBrRhZMgK9pyM4daDxxjp6fJ7JU/GBrQhdHhfAAWl0KwM3l3HT3+Q5AWwbt8hjPULUKigCeeuXqfXjPnUq+SJn4cb8PMzeLMi37j/ZPiUpnTZknac/N9lapYvQ9fJwbx+k4xL664Kx1BVUcHcyADHYkWwL2yFX88hTOnegbbjpn+0uECpYkXkdOo+sxZx7/ETmvv5cCD2b9qOm4aZoWF+0ed/AS4uLgQGBjJq1CiaNm2KlZXVf96GrCJeZ87KJCpUlZUpUcQK1xK2lLG3pduUuTSqWpG7j59w7/ETpnTvSMmihbhx/yFd3s7w1k0YxrwBgQpVpbIyeJ+9fM2QBaHcfvgYA11tGnhXYHxnf1TeFtm49ySBvrMX8SDhKWZGBrSqXpXh7WRs6J+dwfs+8klMPxliY2Nxc3PLVmEpJ0g9q2Ogq8P97avZcOAoQ+Yv5drd++hoatCqhi/jO/ujrqqCaa1mTOzajiN/X2DdvkOkpKYhlUiwsTJnRq/O/FbGFavfW5CcmsrL129IS09HSSqlgI4Wz168Ij0jgxbVqrBg4MeLPmdCYdS/cmV+0efPwPPnzylRogTlypVjw4YN/9l5cwqYOtsWU5iR7T11hjuPHqOhpsqZ5fOxLWSR7Tjr9h2i1egpvNy/CWVlJQWlUOCz+/TH8L766M+OfOP+E+JjbMdMn/fx8xeJuRQHIH9prt25h03DtsSEBctL1wHUGzAKPW1t/vCpgJKSFBtLWem8ZTv2MjV8PZO7t6f3zIXoaGpQsXQpAupVR1tDkw4TZnD93oMc29ilQW3m9u8u/1sIQa0+w4k8fpoNE0dQt2K5H0q693vAmjVraNq0Kdu2baNWrVr/+vmyBkyndG//wRnZ66Q3mNVuhrKyMm+SU7JV5wII2bKTIfPDeLhTVkQ6LS2dwvVbkSZR4vnz56SlpmJhbMSFVdlr+34OfnYGb0747qMKP0Ll+u8NObEd42/dpWr3gbj7B7Lp4DEcrQsDYGlsSN/Zi3iV9Ib7TxIB5AWmM2FioM/9hATqVCxHTa+yFC9kSfFClozv7I+2hjrjQ1fh4+bMs30b2TZtDHUrelHFvbT8Jby0JoS72yK4uy2C3bMmANCoqmJmR9bi2yDzJc8bEIiZgT4BHTv+OzfqJ0Pjxo3x9fUlMDCQ169zLjL+tZAZMG1Y2YuzK+ZR37t8joYdYNvRk7xOTuZEyCwa+lSg5ajJROx6Z2CfPHvOuNBVBNSrIV+mrKzEb2VckaSlENTZnzEBbbifkECXybPzGbyfie/OuH8J2SEfMrzPdgzdtgvnVl24cf8hfwYN558Nywgd3g+AwW2a8SDhqexDIGQvzfsVx4QQSFBcmJ6ezqrdUTx7+YoXr5NYOLCnwvqYS3FcuHYDXS1NiheyxNTQAFNDA7YdPUkxCzMqu7yTGjgbd40ZqzewZGhvhWNkFn3+HijjPwIkEglz587lzp07BAUF/WvniYuLo0OHDrSsVoXQ4X0/OZJeui2SGuXKYGNlTujwvrSsVoWOQTOJv3WX569eUbvvCEoWKcTI9i0V9nO2tebZq9f0alqfwW2aEDqsL+G7ovD/BRi8XwPfTUD1a5Ad8vEOmZrS/v7+rIjcR8vqVXMsemFmZEDIkF60HDWZF6+TALj/JBEzI0P5No8Sn8pH8+fi/8EroDdvklOQvk2tXDqsDzZW5grHXbBhO0pSKV3/qCNflpKaSviu/fRu2kA+Sn/95g3NR0xkTt9u+UWfvwKKFy/OwIEDmThxIi1btsTOzu6rn6NTQACpKSnZMmHgnbvt6u279J8TwqEz50h4/gKvUiV5kJBIQQP9twHT/9F+wnTS0tLR1lBnoKo/5wAAIABJREFUw8QR8qBoJt5Pr23m54MQ0DFoJsfO/Y/J3dv/tBr/XwPfhXH/GmSHfGRHmTJlkEqlOFgX5sjZ8xhXb4yZkQFtav7GsLbv7lsV99JUcHJg06FjANTuN4K9sydiX7QQKampHPzrHBO7tgOgmIUZE7u2Y1xoBA8Tn6Glro6zrbXCeZ+/esXqPQcwNdRndMdW8uWbDkbz9OVL/Gu9Y6r2nrkQz1L2/F4pZ12ZX40y/jUwePBgwsPD6datG3v27MlV8edPIVPEa+nQPlT3dJcvP3/1On49h9CoakVeJb2hWq+hONsUpVHViqzffwTDArrU7TeS6JCZaGmoM6pDS1qPnoKrnQ175gShrqaoFxO0bDVDF4ShJJXKU0DvP0kg8vgptNTVuH7vAQ0Hj8NAV5va5cv9dBr/XwPf3LivXLmS1q1bfzHZIR/Z0SkgAC01Ve49TpBL/x45c4HOk2fzMkk2Sr925x4jF69AQ02V9ROG02vmAm4/fESpFp2oVs6d+08SAEh4/gL/MVPZd1qW+eBkUxRVFRXuPHxMj2nz2Pu2PuqLV6+p0WsYr5OTGdG+hcJoLHN6bm4smxVsORxNVMxZYpfN/eh1/EqU8a8BDQ0NgoODqVmzJqtXr/6qA6BMEa+W1asqDMAmLl8rd7ftORnL9XsPOB06h9Ktu9K+bnUGtmyEYbVG7D99Bg+HEgSv24KykhIlixbm+avXcpKSsV4BYi/Hs3jzTvR1tBX6T+vRU3j28hXbpo3FSE+XqRHrWbhhOyf/d5mVu/aTkZGRjcH7S8/2/hWV+CxIT09X+DtTuN7N1VWoqaoKQCgrKQk3OxvRrWFdcTpsjsiIjhS3Nq8ULar5CANdHaGhpiacba3FqdA5clH+tKM7RKtvKMD/veP06dMCEG52tqJtbT/5fds/d5K8kEbWX92K5URGdKRIP7ZTtK9b/V3xjbf/qqooC3d7W4Vn9GL/JmFqoC8AsXLUQPF075+inGMJUcmllABEyJDe8vP+s2GZkEqlYuOkkfJlPRrXExKJRCgpSeU/QEilUlHZpVS2Qh7v96V8fBx//PGHMDU1FU+fPv1qx3RzdRVtavoqFFp5c2irMCygK8Z18hcZ0ZFi8+RRQklJKrZMHS0AcWlNiHgVtVlIpVIxon2LD/ZBQJwLXyhsrSzEzhnjhKqKsnCysZafR0tDXSwb0U/h3Aa6OmLx4F4/daGSvOKrj9w/VJHcplgxnj9/zq3bt7P41Nsq+NQ3HTzG3PVbqODswD937/NbWVd2TB+HiUEBrt6+h95bSjG8y6bISnbIxztklf5dvHknV27epnghS/R1dDDR12NGr0408/PhXPw/OLfqwrQeAYAsKLd4cC+2Hz1BNQ83Fg/uTZH6ranvXR4dTQ1qeJbBQFeHc/H/sHrvQR4+fUZV99J0mDADu8KWZGRksGLkAByaB3D74WPuP0nAWK8Aodt3Y6JfgFpeZeVtHNS6MR3qKmq7O7XszPSeAdSpUE6+7FeijH9NzJgxA3t7e4YPH87s2bO/yjGzinhl4n13WznHEmipq7P35F+8jNqEENA/OISMjAzuPU7A29WZjOhIZqzawJAFoQp6RP5jplLTqyyv3rwhJTUNhyySFxWcHFi79xC1vDzQ09Fi7b5DJKem4u3qRGHTgvmxmffw1Yz7xwKiUTFnWbvvIGZGn8dQbDd+Oi9evea3sq6UdZAFhIqYmWbbPjObouHgccTGxuY/1CzIKv374nWSTBBMKiU9I4NxndrI84wzZVKdW3Xh9ZtkhWMs27EXTXV1fMu4EH3uAknJKUxesZYMIVBVUaaMfXF2zhiHV6mSFG/cjrNx1wCwbSTzz48KWcGokBXEr19K2PY9tK75m8Jzz8ygeR+FCppQ1Pzd8/6VKONfE1ZWVowePZoBAwbg7+//xe/H+yJemXjf3Wasr8fa8UPpOiWYOes2I5VKaPabN652NigpvXv+7wdMV+85QOzleKLmTcajfU/0tLUw1teTb7963BCaDpuAUfVGKCspoamuxoaJIyj2lneRH5tRxFcZCkVERODk5MSNuCuyVLs/wwgd3o9eTeujrqpKxO4omvp6cyFi0UfzYTN96qaG+hQvZEmLkZPQq9oA19bdWLx5Z477/EgC/P9lzv75Cxdwti2mIP0bExZM2PC+TIv4k2Xb9wDIZVIzjamSVIq3qxNl7IsDsnx0Z1trzsT9w/NXSUTOHE9MWDDlnRx4mfSGKm7OaGmoM6evTMLgdNgcMqIj6dawLhbGRqQc3k787XvcvP+Qdm/1P3KD/EIeX4YePXrg4OBAly5dSE/PWRv+c5GTiNeNew/Ye+oM7d+bgfl5uBG/PpQHO1bzaOdalo8cwJ1HTyj6Vj4aFPWIbj14RK8ZC1g2oh99Zi7k3uMEiheyVDjmsIXLSHzxkj2zgzgVOofezRrQeOh4zsX/A8hiM+fOn/+ia/yZ8MUj94+pv8XdukPHoJnyfNjPnVZnshodrQsTd+suDbzL03P6fNRUVGhd01fxAr7jbIoPuagcHRz+VQXE3Er/upWw5Vz4QgWZVLNazdDV0qSyixPnr94gIyODKd3b41tW1t4VIwdQqF4r9p76i2rl3GUfWWMjQrftwdXOlra1f2Pu+i1sPXKc+t7lyYiO/Ly2v7ddfiGPL4OKigrz58+nQoUKhISE0KlTpy86XlYRLyBHd1tWGOkVAGD/6TM8THxK3Yrv3G2ZekQg40U8THyKe9tAhBBIpRJO/u8ypy5eYe6fW/hfxGLmrt/CufAFOFjL9nG2tebImfPM/XMrCwb2+KXkfD8HX3QHPkVm6DxpNuZGBgxr25w2Y6ZgVK0RWt6/49K6q5z6DjKNk6y/5JRUklNSaeLrjYWJEVGxZ+nwe3UWbNyWYzu+ty92fHw8VXx8cHNzY+PaNTiaGhDU2Z+QIb0J6uyPo6kBG9euwc3NjSo+PsTHx3/V878v/ft+KlxW6d+sKPB2Gvy/azd4kJBI/crlkUgk/O+fGwBUK/cu9c3c2BBH68Ice1taT1lZiarupTlxQfa3q50tPm7O9J+z+LMJJ+8jv5DH10H58uVp164dgwYN4uHDh190LE8vL/aePktaWjoZGRk5utsAQrft5vj5i1y9fZeVkftoPHQ8vZrWx66wTNQsszqXh4M9aWnpvHqThKWJEarKykzs2o6IMYMw0ddDX0cbqUSKXROZpG+TYUEETptH7GWZ/VBSeteX82MziviikXtmql3slXj0f2sIgIN1IYa3a4GJvh5RMWdZNqIffj0H4+3qTPFCFhw/f4n6lb0UgqN3t0UoHNexeScSnr+gmZ839kWtaDh4HB4Odty8/yjHdnxPX+zvIWc/NjYWXV1dgpav5unLl3SfOpdeMxdQopAVVgWNiT5/kY6/v6N6vy+T2jFoJgDjO/sDcP7aDSQSCfq6OgrnKWigL0+VBOQFOzIxo1dnyrTtTudJs1k2ol+unk1Wynh+IY8vx6RJk9i0aRMDBgwgLCwsz8dp27YtwcHBbD1yHC0N9Q+62y7fvM2Q+aEkPH9BEbOCDPFvSu+mDeTrtxyJ5s6jx1y/ex+r31vyICERwwI6LBzUg2U79hIVcxZVFWWKWZgxrG1zNNXVGLYgjMdPn7F270Hmrt9CMUszrt25z9apowHZTEBfTy8//vYWeTbumWSGQa2bUMHZQUFMqt6A0fzhUwFLEyPOXb2OVUFjnGyK8jDxKQBONtbyIAiQLaimoaZKAW0trC3MKFTQBAtjI3YeOy3XDn8f38sX+2sVKMgrsga1zYwM8PMsg11hK/afPkPMpTguXr/Jxes3Sc/I4OSFS8TfuouNlXk2mVRdTQ3K2hfH3NiQtLR0Lly7niMRRgihsDwzQJaSksq2YycYELwUJFIidkchkUhyZMjmhKyqkOHh4b8kAeVrw8jIiEmTJtGxY0fatWtHpUqV8nQcV1dXfLy96R+8hLMr5n3Q3Taxazs58e19vEp6Q5+ZC1FWUuJBYiJ/eJenqLkpU8LX0278DAoXNObPoOHMWrOJ0sWL0atpfQB83JwZPG8pR85eQE1FhVv3H6GspMSzl69IS0tn98kYXrxOws3NLZ/FzheoQgYGBrJp3VqurQ/NNjI19Gv41l9bilMX43C1s2HDgSNoqqvz5NnzbIqAWfEgIRHLui0QGYIxAW1oXLUS7cZP59jfF1g2sj8tqlXJto//mKn872Eip06fzsulfBXExcVRsmRJCmhqkJyahoa6Kl6lSjKxazv5VDQT0ef+x7CFyzhx4RIqyso421pjYWTIpiMn8qyA+LkKfe9mDCHce5yQTaHvxr0HFGvYlj+DhvN7JU+5TCrAk13rFEbvpVt14fdKXnIW6oxVGxg4dwkFDfW58/AxVXx8WLhoESdPnnzbNr1cUcbzGchfFxkZGVSoUIFnz55x5syZPFdtio+Px8nJiYaVvXIVS8tsQ9ux01gfdYSzK+bLZSsidkXRavRkWlTzYf6A3EtD92j8O7PWbOJEyCxuP3pM/+Al+X0orwnyOZEZTiydJfw83IREIpGTXzJ/1hZmYuXoATJCjLKyCBuuSEbI/E3s1l7o62iL9ROGCUfrIkJNVUWY6OsJZSWlHLdPObxdWJgYi+7du3+l1P+8wcfbW2ioqYn5AwLFufAF4q/l80Qtr7KikKmJeLF/k7y9RxdNF7pammJCl7biXPgCcXntErF2/FDxOHKdsLYwFz7e3rk+d3h4uJBIJKJl9aoK5/rY78X+TaJV9apCIpGIlaMGypePaN9CmBrqi5TD28WL/ZuEtYWZqFjaUagoK4vVY4fIt7uzNVxIpVKxc8Y4+bLWNXyFirKyUFJSEuPHj1doY1xcnPDx9haAMDU0EK1r+IppPQJEyJDeYlqPANG6hq+wMDEWgKji45NPTPuXcObMGSGVSsWkSZO+6DgRERFCIpGIVh/ocyPat8hGUDLR15P3uYqlHbOt19fRFs39PkxcXB80TPh5uArDAroCELHL5oq0oztEy+pVhZJUKjwcSuTYv8PDw7/S3fuxkGfjrqamJqb37CQyoiPF1qljhJJUxi6USCSiqntpMb1nJxEypLeQSBDqqirCwthI/hAruziJco4lcjQ6doUsRbeGdRWWZTIU047uyLb998BMy2SD/hk0XKFtD3asFoA4MG+KfJmHQwkx1L9Zjtf+qWtJTEwUp06dEhEREWLMmDGidevWonTp0kJJKhWNq1YSPRr9LgqZmgh1VVXh6WgvTiyZJT/2+y9S5s/VzkZoqKmJK2uXirSjO0QhUxMxoFXjdwzgt+s61a8lLE2MxJ7ZQSImLFhUcSstnG2tReqR7e8+ssZGolO9mh99qWJiYkS3bt2ElaWlkEokAhBqamrC3c1NdO/ePZ9h+B+gV69eQlNTU9y4ceOLjhMeHi40NDSEtYW5WB80TKQc3q5g3B2sC4u72yLEzU0rxOIhvURhUxOhoaYmwkcPFG1q+orq5dzF3W0RwsuppLA0MRKWxkbCv9Zv4njILHFtQ5jYMztIxK1bKg7MmyJql/cQBbS1BCC6NKgtN+4Z0ZHi6vowoaWuLlSUlYWGmpqo5uEmLq5e/Muz2PNk3NPT0+X08pWjBgp1VVVhVdBYTOrWXvRv0UgY6RUQ5yMWik2TRwplJSXRuoavSDm8XfwZNFwAQkkqFfo62tmM28H5UwUg/lo+T2H5tB4BQk1VRS47kPXrnNfR7tdE9+7dhWVBE4XOnREdKa6sXSoA8ffKBSIjOlLc3y4z9rP6dBGejvbCRF9PVCpdShxaMDXLLMRINGrUSISHh4vRo0eLli1binLlygkjIyMFo2xkZCQ8PT2FmZmpKGpuKhp4lxclixYSB+ZNEVfWLhUj2rcQulqa4tbmlSIjOlLc3Rah8FsytI+QSCTi75ULhLWFmfBxcxaRM8fLX5pMA924aiXhbm8rtDTUhbqaqlBRVhbqqqqidnkPcWPTCnFtQ9gHPxyqqqoffakiIiKEioqK8PHxEQkJCf/hE/u18ezZM2Fubi7q1av3xcfKOiOzMDGWz8jqVCgnzI0MZTOytwO7Km6lxZW1S0VGdKRoU9NX/F7JU5wKnSMAUa+yl6jg7JDjoGf79LFiiH9T+eBnwYAe8n6afmynKOdYQtgXsXrrITAV0rcDTVUVZeFSvJjQ1dIS7m5uX+HO/Vj4opF7i2pVcpyaVXUvLTr+XkP0aFxP/qJn1Q7J/GV1B2Q+cLcStgrLTofNEXaFLYWOpoZQU1WRjfRUVYSbnY2wK2Qp1NTUvvlXOScXVfqxnaJOBQ+FDnts8QwBCANdHbFkaB8RExYsejapL1RVVMTltUvkro3M+2RiYiK8vLxEmzZtxNixY8WqVavE6dOnRWJiohDi3YwhYswgoaQkFVunjlZog7OttRji3zTHF+b3Sp6iiltphRnDiZBZYn3QMGFtYSYfYVXzcBNLh/X5oKsp9ch2Eb8+VBQyNRFeTiXF3W0RYlSHVkJLXV0UMTP95If30KFDwsDAQJQoUUJcu3btv3hc+RBCrFmzRgBi69atOa7PrY5PpmaUacGCQiqVyN9xFWUloaOpKX4r6yri14cqvOsFtLWEhpqqUFaSCj1tLRHwew3R0KeCMNYvIErbFhMLB/XM1m/fN+6X1oTIB4QFDfRFicKWYmpgR6GloS4aV60k2tT0FeZGBgIQZdzdv7mt+C+R52wZm2LFWLvvIE2qVkJfRxuH5gE8THiKS/FipKalk5KayuiOrZBKJMxasxEVJWXepKQAssK5pYoVpWPQTMqWtMPGypznr16xbv9hpgbKNE7ib92l06RZRMWcpaCBPg28y2erzRh5/DTJyckEdOz4TSPjOeltdJ86l7/j/+HwwmnyZRkZsth1QL2a8mrtLnY27D/9F0u37iKoazucba1Zve8QCQmP0NXV/eh5M/Vjqnm4kZ6egbqqomyqhpoqR89eyLbfg4REth89Sdjbgh11K3hiaqiPT/cBvH6TTBW30kTOGI+NlXm2cmhLh/WhYM2mxFyKo5JLKSQSCaNDVvIo8Rl7Z0/E1NCATQeP0di3ErXKl/2kNETFihWJjo6mZs2alCtXji1btuDh4fHR6353P7996uuPikaNGrFkyRICAwOpUqUKly5dyjPhLiMjA1dXV1xdXYk+doxqbqVoWKUib1JSKW5lwYOERMaHraJ8QB/ORyzEsIAu1T3L0LBKRQbOXYKpgT5RsX+zeMtO+jVvyOA2TTn5v8sfJC5mRXJKKgDaGupU83Djf9dv0Kf5H0yNWI+Gmiqhw/vJkwj6zl70S0mF5/nNeP78OeZGhsReucqWI8eZ3K096yYMRUlJyulLV/DzcMPU0AAXu2I08/PBIEuWRfu61TkwfwpmRgZ0mjQLgNV7DiIENPPzJmJXlELloFubV8rlDNrVqUavpvUJHd6PW5vD+TNoODfiruDk5MSqVau+/I7k4T68r7cROG0eW48cZ//cyViaGMuXmxnJUj5LZhFDArAvUohbD2Q5/AW0tUhJSUFbW/uT587Uj9HX1cHT0Z5xoRHcffSE9PR0Vkbu48SFy9zLkoeeiWU79qKjqUGDt8WGlZWV8CvrRnJqKjU9y7B5yqhsxTcy8eyljHpuoKujUOUmZEgvbKzMibkUx5m4q7SvU/2zpSGKFy/O8ePHsbGxwdvb+4MFnvOrdH09SCQSgoODuXv3Lg4ODrki3H3sOZz9+yzOtsWoVd6DP3wqUMqmKL5lXdk2bSwAy3bIZC+a+FamVnkPrt65R+0K5VBWkoIAD8cSuNjZ0Kl+rY8SFzORqY00ZH4otlYW/B3/DxOXr+H+k0R5389MOz4XvpCGlb1o0aIFERERHz3uz4A8jdxjYmK4dfs2EWMG0WLkJIwK6NJ6zFQKaGviVKwo1hZmXHjLamxVw5dWNXy5fu8+1g38AfitrOtb0a/2spHd5TgC6tUkoF5NeUrU96TvLoTg0aNHXLx4kYsXL3Lp0iX5/2/duoVUIuH5q9cIIQicNo9NB48RNW+ygvgVQBGzgpgbGXL5xm2F5Vdu3pEXPshNzn7WGcPykf1pP34GlnVboKQkxbW4Dc39vIm9fDXbfqFbd9G8WhWFAgnOttas2nuQqDPncWwewLSeAdlSFoUQ9J29kPJODly5dZt6A0dz73ECK0cNkI/wl2zdhX2RQng5lQQ+X8zJyMiIffv24e/vT8OGDZkyZQp9+vRBIpHkV+n6l3Dq1CkQgoyk159FuOs1cyEl7e1JTUvL8TmcuRJPTFp6NmExkIn8lSpWhLhbd+XLMjIySE5JRVdLEzMjQ54+f6mw3r5IITZEHf3oNWRqI3WYMIN1+w8DcCD2b2p4lsmxDaHD+wLQoUMHypYt+1P3kzwZ97CwMCxMjKnm4YYQgogxg6haxkW+3qtjrxzdAQCxy+ZSungxQOYOMDcylOuRxN26Q4cJM3AoWpjDOVQOyjR4QghGL1nJ4s07SXz+Eg8HO2b3kQlXfclDy8jI4MaNG3LDndWQJyTIRgFKSkrY2NhQokQJWrRogb29PRODgjgbd5VuU+eyancUmyaNREdTQ87eLKClhYa6GhKJhH4tGjIqZAXOttaUti3Gsh17uHTjFusmDAU+XwHxfYW+YpbmHJg/hVdJb3j+6hVmRoY0HTaBouYFFfY7fOY8l2/eZvW4IQrLC2hrkZqayvnz53FwcKDh4HFYGBtR1b20vMrN0q27OBt/DR0NDRoOHqfgvgFIepPMqt1RDGv77uOam0Ib6urqREREYG1tTb9+/bh69Sqenp506tQpv0rXV0Ym4a5FtSqfJJcpKyuRlJzC46dPMTcylEsy5/Qc1uw7pCAslonklBQuXr9FBed3fVsqlaKmqsLzV69xL2HLxoPHMMtCaLxy884HiYsAjYeO40HCM0DGjG9dw5fVew8QOXM85dr3lPXf7gPlfJLSttbsmD7ul5EKz5Nx37F9O77uzgruAPsihShooMeqPQc4ceEyth+Y1iucXFkJ3zIuhEfuo2fjenSeNBtNdVXuPn4irxx0+mIc7cZPp4C2Fj2b1ANg8sp1zFi1kdDhfShuZcn4sFVU7z2UmLC5n/XQkpOTiYuLUzDiFy9e5PLly7x5I9NB0dTUpESJEtjb21O9enXs7e2xt7fHxsYG1fd826dOnWLj2jXceShzrfh0G6CwfumwPvjXkvnYezWtz5uUFPrMWkjC8xc421ize/YEilmayxUQ6zdu8sl7l5NCH8hGJ1oa6iQ+f8GuEzFM6tZesS1bI3ErYZutNF7mjMHGxoa0tDSGt2tOwvOXnLhwkTX7Dsp9m6WKFaGSixNta/+Gq52twjHWRx3m9ZtkWteoKl+WW2kIqVTKhAkTsLa2JiAggAXz59PiA/VfsyK/StfnIy4ujrZt22JuZMi+U3+hU6UeGyaOoF5lL4XtLl6/yaC5S9h76i+SklMwKqDLzhnjKFHE6gNHBkfrIpyNu0q/2YupU8GDQqYmPEx8yvjQVTx/9Zo2NX15+TqJUSEr+cOnPLaWFuw6foq7jxIQQnD1zl3ib93l5P8us3jzDhYOeld4PeHZCwBuvX3PGnhXwLOUPUZ6Bdhx7BSTlq/BvqgVcbfucOriFc5fu86wts2Z3acLqioqnI27hlQqQUNV7ZeQCs+1cY+IiOD69et0ryszVrlxB+QEZ1trVu7aT6kWnUhOTcXNzhYn26LUKi8LqhUxM2X1ngPEXLoCyEbts9ZsZIh/Uxp4VwAgbHhfTGs1Y/OhYwoPrVixYtncKBcvXuTatWty+V0jIyPs7e3x8PDA399fbtCtrKw+O1iXqbfxZ9Bw6r/1Y38Mg1o3YVDr7AY8twqIWRX6dh0/jRBgV9iS+Nt3GRAcgl0hS3ngFsgWtM6KzBlD5kdDX0eH0R1bZ3M12VpZfLA9S7fuom7Fcgoa3HmVhqhcuTKqqqpUdCpJ4osXFG/cjnuPE7IZobZjp7Jsx16FfcuWtKNltSq/xNQ7L+gUEICBjjbN/XzwcLSTM5Cz4urtu1Ts1Fem6JkhqFfJi7Z1/BRiZzmhnKM9mw4ew6tUSZqPnMjjp88x1itAOccSRIfMoLBZQZLeJHP+2j+siNzLk6fPuXj9Js39fOjdrAHTV21g8sp1FDUzZUavzrSoVoWXr5OIv32XLYdl7r3xYbLY2uSV6wBo6FOBTvVrMXH5GiQSKX49BqOnrUXXP+oovGdZ++6vUHg9V8Y9Li6Odu3akSEEE8JWMWR+qNxtsnXqaF4mJWFmZIhj8wBu3n+Its/vqKqo4GZnQ7eGdXI8ZgFtLTIyMihsYcazV6+zVQ46G3eNI2cvMKOXTKr0n7v3uf8kEb+y7x6ImqoqlV1KEX3uIiFDemNqqE/FihV5/frdqLZw4cLY29tTp04d+Si8RIkSGBkZ5eW+KSCr3oafh9tnUaffR14UED29vNi4dg1paek8e/maIQtCuf3wMQa62jTwrsD4zv4KNSizBq2z4v0ZQ9aPxqdcTZmIv3WXQ2fOs/1t4CwTeS200SkgAEtjQ7o0qE3M5Tja1vbL0QgBVC/nztJhfeR/qyqroKaq8ktMvXOLTE2oTw1Ehi1cRk2vMly7cw9LEyNWjBog79eZxat7NK7HzN6dAZnbpd+cEFZG7uPZy1f8c+8eJ5bMUkgoyISGuhqRMycAEHs5Dnf/QOpV9qK+d3n8cxAhO33pClW6Dcy2vE1NX5YM7cPstZuoP3A0QgjuP06gZfWqzFyzERMDPcp37M3VO/coUdiKcZ3byN1C37NU+NdCrox7pgpkcnIy9Sp7McS/aTa3SeLzF/xz9z6FTE24/ySRpDfJ/HXlKi1GTpIf50FCIoPmLmH3yVgeP32GRCJBRVmJ6uXcPlk56P6TRECmSJgVJgb63Lz/QJ75se/s/1i8eDH29vbY2dmhqZk9yPM1sWjxYpycnOg6eU6e9DbyooCYVaHuBsNZAAAgAElEQVSvsW8lGvt+XAwqM2j9Pt6fMWT9aCzYIMtW+JirCWDptl1YGBvi5/Huw5QbN1NWvG+APjUbUlNVybGi068w9c4tMtNnP6S/DrL+uP3YSVpUq0JUzFl0tTSp2n0gg1o3wcLYkMWbd+JkU1Rhn14zF7LtyAnWjR/KkAWhnL96g1p9hhO7bK5C9aX3IZeGDg754MAosywfyD4Godv2cPz8RSJ2H1CYtRnq6hA5azwpqWnMXLOR0SErmRLYkdK21izfuQ/fwMGcC18gH8H/7IXXP9u4Z75wbna2SCQSUtPSKGJmyuUbt3EqVpSDsWcpWbQQfWctJD0jA4+SdnT9oy6qKkociD1Hn1kLAbh04xZtxkxBU12NTZNGMiFsNUfPXeDCPzdpWcNXoXKQQ9HCnIm7Su+ZCzE3MpQXlwB4X6RQCIEE2ULZQzv8n/pbbWxsWLJkCS1atAD4ZKZPJr5EAfHfmjFk/Wh8bpGNCV3aMqGLojspr4U2Mg1Q1jqqH8OB2L8pWLMJetraVHIpxfhO/pgY6P0SU+/PRWbhmGVhYSQlJaFeuQ5qqio4vi18ce3OuyyVh4lPefk6iSVbIimgrcWe2UHsPfUXDQaNwdLEiKVD+8hdIyBzvS3duovlI/vjW9aVImamOLXszPmr19l9MjbHzJWsWDiwJ86tunx0YJSV92JhbIRvmdI08a1Malo6j58+Y8/JWP73zw3c/QNxtZO9Qx/jk8D3JRX+b+CzjXvWgsuTVqxlZ3QMaWnp/B3/D8cvXEIqkXD8wiXMjAxxtbMhbER/AEK27JQbdoDmIyYC0KVBLVyK23D6UhyNqlRi/oZtXLx+k7nrt3y0cpCpoWzEfv9JImZGhvLjPkp8Kh/Nf6uH1qxZM4QQdOjQgaPnLjK5e7vPVkAMDw/PU3bHvzFj+FZupkxk5u9/qBxjVmSSYQqbFuSfu/cZsXg5VQMHcjp0Dmqqqj/91PtTeD+NtEGlctnIgDGX4ug3J4Ttx06xcGBPNN+623S0NKhboRzu9sVxty/OvD+3oqmuhm9ZVwXjHnMpjtS0NLmr1MbKnCVDe9Ni5CQGz11KpdKlPtqHbKzMCRnSi5ajJiMQ2VQhI3ZF0TFoJmZGBh/NmPLtPhAlJSUu3bgFyD46WZGVT5K5/nuQCv+38NnGPWvB5fjbdwnbvgeNynXIEIJxndrwf/bOOiCqvAvDDzOUApJKWICEWKxioq5ix1qra4AFKiora7cYKxbqGtiFru3a69oBFhYoiBhgBw0CIj3z/YHMxwgoKirCff7CuXfu/GbGOffec97znskDegNQvY8zP/9UkybOY7h8OxgALXU1TiybS71qltwOfYx1v+GM6dNdZtg/qHPbrOD++BlvU1Jzfdg5JweZGBlgoKvNqes3qf3uDJ2Wno7Pzdsy/+jv+aXZ29tTv359nIcMyZITlitLSxtrmZww/k0SASGPOOMXwMvIKFrY2XFi3brPLvp9rTuG75Fmyiavjt/86NWqmezvGlWMqWtljnG3Afx3+Rq/Nm9S7G+9c/L+xUxBB8dsOXqaCX1/Y++5i1j3G86aCa4oisUkJL3F2jxLtrzrlDcpaWlUKJu7RhUeE4eykpKcHXSfNnbM27KbO4+fYt1v+EetnlWUlSirpcmOk95cCgxmoetgOjdpxJ4z5wvc9wIKGL07Aeh36M3q/UdoXKs69m2zUro5+0mg+A9eL3Bwz/7B7T7tw+nrN6lmUomEpLdMd3Jg0qpNsrTJo1dhrDlwhN+7d2ZC39+4dDuYv3bso+NYN4K2r5N1lE1YsQH/Bw9pVrsmJ69mdRa+jIqmU5MGzN28i0r6ZaluWpmb9x+yZNcB2e2VgoICI3t1Y96WXZhXMMK8YnnmbdlFaVUV7N/l5b/3l2ZmZsbZc+dkt8JXfH3ZfXaLrKW7Zo0adOvZq9BmqH6NO4bvkWaC3Pr9T8VQT5fKBuVkzTDF+db7QzN6dfX0OHnyJP3atSzQd9ewhhVuTg64eHgy0H0xVcobEvriFWXUSsuGV9c0NZHdORcEA11tapgaExEXR4/J7ujraNG2Qd0PXuhMmTqVOe7u7/bXJjYhgdIqKmw9foatx8/IHb/rz7b8NcoZr39PsuXoKZ69uypfMmoY7kMHMGnVRpzcF6Ovo4W3f6BcP8nn1oN+JAoU3PMauNy2QV2s+w3nwq0gRvbqKkubSCRS6lY1Z9EfQwDo/HMjklNT2XDoGBv/Pc7kAb3ZM2cq7UZNJS7xDS8iolBVVqaSQTkiYuP4a+RQZm3czu+LVhIZ+xqjsro4d23PdCcH2Xom9P2N5NRUfl+0grjENzSoVpUTS+eioVa6SH1p2X4b2XzNAPM17hhynjQu3g5m4ScM2vjcNFN++v2CEhOfwPPIKFkzTHG89S5Ix+7xK9eALE14WHQs/5w9L6dwyZYXZjNltRe/TvqTNRNcAdh9Omtc4omrfqSmpRMZ95rIuNeIRSL2nD1PZqaE87eCWLnvMMeXzCEtPZ24hES5q/fIuNc0qlmNHbMnMXbZOpbtPsCFgCB2njpHekYmIpECCgoKGBgYcvDgQbp06QJAy5Yt8ff3p2uXLpRXUebsSg9Ulf8/WCTo4RPajJyC7+1gqvYagpKiGAMdbZx+acumIycAGN3nVxLfJjPbazttR02lQTVLWT8JlIzB6wUK7u8PXBaJRHJ5MmszUzLe6cYN9XRAAUx/HUBYTCzVTSrTrHYt0jMySU1PJyk5Bc9/DhOX+Ib1k0fJdNE1HYbyLDwSb/9Alo4eJpNY5YWCggIzB/dj5uB+ubYV5S/taweYr3HHkH3S6N+/Hz0mu2NUVo9WObpWCzvNBPJSzPeD0ONX4dx68BCdMhrolNGQNcMY6unwJCyCqas3o6epSbd3WvjvfRdX2Hz6jN4N1HQYShm10nIKl/flhdl56t2nfTi86E8u3Q4mLDqG477XOXzeF4tKFXDp3okWNtYAOM1ZTNXKFZnQtycV9cuipKjIqWs3ZYqtsOgYgh49lTXRxcQnUKeqGdc2eQJZFzoSiVTWVdynTx+5rmKpVMrzFy/YN88NY0P5Luv5f++hSnlDHvyzSW7Mo7d/gCy4A0wf5ECNKpXpMdkdz3Eusqa7kjJ4vcBpmewfXM60SaOaVvzRsyvLdh9AU12N/d4XMdDRxvf2XSb170nLurXZ+O8Jlu4+AIC2hjrW/YbzPCISEyMDBnVuB0DI85fcffIca3PTD0qiPkZJ+dI+RmHfMZiZmXH27DlKlSpFNeufCI6M+6ppppxSzPeD0Njl64AsjfOq8a6yZpjXiUkY6ulgV6cWu9ynFLm7uMLgc2b02taqhsVvTkS9jkdX8/8uo9nywoCQR3QaN51rm5Zj9Is9rj27yvk+ldXSIubE3lwnEDVVVXTKlKFGFWMAnDq1ZZznOnQ1s0664z03ULOKMa3q1c76Hm7ckms+E4lEiETk21Wcn2IqLT2d7SfOMrr3r3nO9X2fzk0aUb6snszipCQNXi9wcM/+wQVuXZUrbTL8118IfvyUHpPdZUFkyc4DLNy2F2UlRaRSKUpiMaOXrsWujjUx8QlYm5ny6GUYtx8+YdSS1XT9uRHzXQZh3W84wz2Ws9lt3CcX8YYtWM7LqGhOePt8+idRjCmMOwZVVVW0tLRo3bo1EyZkad6/VpoppxSzW/PGH5RjZjfD5EVRvov7VEJCQhg8eDB927b4pAL3xBUbcfylLXEJiWw/cZYG1S1l296mpGA/fT6eY3/P1SeQ7fv0KjpG9j18iCUjh6IoFtNr2lwS376ltKoq6ekZGHWyx9hQn5dR0Tj+kiVljo1PZMaGrZy65sfziGj0tMrQpWkjerb4WdZVnJ9i6qCPL6/fvGFgDln0h1BUFNOy7k9cvXO3xA1eL3Bwz/7BfShtcvXOXWyHjMFAR5uIuDikUkhJTUOjdCk0Spfm8KKZPAmLoMdkd3yDgrHqPQRDPR36tWuJm5M9ykpKrJ30B/1nLUQqhTUTCz4od7iHJztOnEUKXLt2rdh/cd8DAwMDwsPDZUH9a6WZvrcUsygy1NkZQx0tDHR1MOvh+E4KnNtULy87hnpWFpxd6cE/Zy9w5sYt2eOjl66lUU0ruvzcKNfrZfs+Hb7gm+fd9LlVC+X2V1VRlgXvrcdOk5ScQkZmJumZmfjFhyIWiUhOTQXgVXQMYdExLBwxhGomlXgaHslwD0+qmVTCUEcb5yFD8lVMbTpynPYN62FUVjfXtvywNjdl1ylvrPu5fFE96EejwL/O7B/cmGVrSUpOyXOfiuXKIZVK2TvPjczLx8m4dJRM3+NM7NcL9dKqWFaqyIQVG7GzsSbsv12kXjjCkwN/M3voAJTfTWLP1tjuPHUO/fa90G3TA1Gjdhz0uZzr9TIyMtnvfRGjX+zZdvwMDm1b0K9dSwYPHkxoaOjnfB4CeZDt3x0W9grP5cu/iY/6uvXrCYuNw8XDU+YDVFAkEgnD3916rysGt97ZDYQNqluy6cgJPMe6ELxrHQt+H8SiHXvx/Oew3P7tGtblupcnupplOLV8HseWzEGtlCqm5Q14ERmN//0QDl/w5ZxfAEtH5V/bsjY3JTk1jbDo2A9+D6HPX9FyxETqDnTloM9lujWzxWPEYDZMGc2C3wfxm10TMiUSmg4dR8sRE1FVVmbvPDc6NW1IlQpGtKj7E+5DB3DM9wbzhg/knLd3noqpp2ERnL5+S5bOLSia6mqkZWRQ2dyCwMDAEhHY4RPtB9atX4+lpSXDPTzZ/IFbw+xUmMyil6zuURcPT8KiYzm+ZI7c/ibd+vM0PFLuMYlEioICxCW+AWD5noM8fhUuX8S7cYuXUdGol1KlnLYWdaqaM6RLe8FTpJB4X5XRtXH9XA0wX8tH/UukmMM8lrP9+Fnmzp1bLO7gsvPP8YlJdG7aMF9TvWxUlJV4HhFFTHwC7UZPlT2emZkVnOs5/oFL9048fBmGdpvucs/tMcWdptbVObdqYZaMND2dTW5jGeT+FxKpNNfddEEajEKfN2D3mfMsGTkUz72Hse43nA1TRslN+YpPSqKMWmm6NWtM+XJliYiNzaWY8vrvJOW0NT9onZAX8W+SUFZWLnHx4JOCu6mpKRKJhO0nzqJA7h+cnlYZxGIR4TFxrN5/hDX7j/AkLJKUtDSkUin3n71g+6yJmFU0ws5lPD43b8sdv0I5PaJfJ7B09DCGLViOeaUKbJgyiroDXXkeGcWUNV6kpqWjoqyUVaypX5tjl69zZsV8fhk7HeBdMUjwFPlSPl2VUfg+6p+t34+JxcTEhKVLl9KjRw/Mzc3zOPqPQ3b+2bJyRdYe+C9fU71svP0DuRR4h8oG5bCpao7rb13Q1SyD05zFxMYnUkpFmakDezP0PZ+hWn2H8ddIZ0yM9LOmiV3wRaSggNPsxYgUFLKUNBd8cXOyZ1SvXwvUYJQ94KWJdXVG9u7G4C7tcfHwzOpGlYJ9Wzti4hNw99qJc9f2MkOvAxeuyBRTkHU3tvm/U/Tv0DrX9x8eE0t4TJxMVXX74RM0Speikn45dDQ1CAh5RK2aNQvr6/hh+KTgni2J7NG8MXvPXeTS7WC5zrMsB0hzTl2/SfuGdXEfOpCn4RGMWbaOTIkEsVgkJ8ca3KU9fw7px9uUVCat3MjecxfZPmsiV+/cx0BHm1sP/v/lLhwxhK7NbGX5XolEQus/JjN5QG+qv/PHyEbwFPkyPkeV8bV81D9Xv6+lpUWTJk1o3bo1ly5donz5/K2KizrZ+eeRvboS/yYpX1M9yNuOYcTildzw8kRNVZVSKipcC76Pga5OnmZrGw4fJ+jhE5l/S15ziyes2Ijb2r/JyMz86GAdsW172bFFjf6fTqljacaQeUupZlyJ4Qs9qWZciRmD+gL/twE/fSOAjIxMFBXFnL5+k2fhkTjl4Rq55sB//Llxu+zfzYZnzQbeNG0Mfdu2LFaKqU/hk/3ca1SvjqJYRMDW1QxdsCzXxJ6fLKqw/uBRAh485MHzl8TEJyAWiTi7YgG/TvqTK0H3ZMG4lLIyl28HM2HFRsKiY9k+ayLd7Zrwx1+rGdmzK2sPHsXryCm518/+T7Ng6x4UxWL+6Nkl95sqAXaeX4uQkBAGDBiAjoY6B3wuc/zqDWxrVmO+ixOWlf8/pOHhi1eM99zAxcA7pKal066hjazIXtg+6p+r3z916hSNGzembdu2nD9/Hh2d3MGsqJOzgbAgpnofsmMAUFFSIjUtPbdVwYmslEVUXHyB7tT6z/KglMqHB+u4Ll6Foa4OBxZMp9K7iUrHfG8weO4SNruNo/P4GTT/fTz1rCzYP3+6zJ462wb8ZWSUTKnTpoFNvqqp/HpeAPZ7Xyw2iqlP5ZODe7Ykcv3k0ZxZsUBmwZlzYo9IQYEb78yEALTU1Zm+7m8Skt4SFh3Lkp37uff0ORduBeH5zyHUVFXp07o5vzRuIJM6OXVqS+iLV1y9czfXGvzuhbB8zyH8Nq/IV+takjxFCpOhzs4oicW4DxtIE+vqZGRKmLZmM21HTeXOjnWolVIlKTmFtqOmYm1mwhnPLCO46ev/puuEWZz2nP/Vah6fqt+vWLEiJ0+epGnTpnTo0IHTp08XaPB4USJnA+HMDVs/aKqXFzntGM6tWsiSnfu5EBCUK7D3m+WRr1VBzhQrgLFhOZJSUrGxrIRpBQM6jZsht//opWsYvXQN2hrqXNm4TG5IxuELvtjVsaaSQVmUFRVJSHrLrCH95Ob5ZncV2zZqJCimvoBP1rI5OjrKzqiQ5cfsOdaFa5s8Sfb5F2UlRRb94UzqhSMEbF1NKRVlYhMTuXw7GAWRAtPX/82UNV6oKivzS5OG7HKfzPopozjrd4vuk2fLSZ2szU25/fBJrjVcuBVEZNxrKnfrh1KTDig16cDT8EjGea7HpFt/QN5TRKBgZKsyts2cwNBuHaluaoy1uSmbpo3hWXgkfvdCALgUeIcnYRF4uY2lppkJNc1M2DR1DNfvPuDqnXt4jHDinLf3V1HR5KQgUsyqVaty7Ngx7ty5Q/fu3Ul9J8f7kchuIPyYqV5evG/HEBDyiJrvGo8gq4FwyLyl/NrMlkyJhMpd+6HWvAu1+7vIvu8KZfWYPsiBTk0bUFpVhaBHT4Es18hrd+5zYe1iXh3Zwanl89DTKiMbDL995kTZgJfwmFievIrgv0vXsG/TnLYjp6KspIS+jjYb/j0h2yczM1PWVfyliimXYqSY+hw++cr9QxpkiURCWnqGTMJkWbkCAVvX8PrNG/adu8jGf09wdsUCWVdbTswrlqeeoysKCgrsn59VHNVUV5PN7sxJv/YtaZVjIDdAu1FT6du+JY7vrmCKo6fI1ya/rsD4N1mqhewRa6lp6SgoZN3iZ6OqrIxIJOJi4B2mDbQvUjWPunXrcujQIdq3b0///v3ZsWPHBwdIFDWy7pZ30dG2/gdN9XLOJs3LjiGvTtFhC5ajr6PF9bsPaFH3J47+5U45HU0evghDS10NgE5NGzJk3lKuBt1j5+xJ/LF4NXefPsPHP5BuzRvz87BxcjWAqWs2A9BhrJvc+/itRVM0Speigr4eV+/ckz2++chJNh85CcCDPZtkOfLvZV5XXPisAdn52cHmnGYOoKykhNm7Qdl1rSy4cfcBnv8ckht6m00dSzNEIhEapUvR0bY+b94mE/z4KUqKiqRnZMh5ilQyKCfXSg3IzIOy88LFzVPkW5BXV2BOtUP2SblhjaqoqaoyceUm5g4fiFQKE1duRCKREBYdWyRrHi1atGDXrl306NEDbW1tVq9eXaD29e9NeHg4MTExvIyMpm1DG7TLaORrqicWiT5ox7Df+6Jcp6jfvRDO+QXQtZkt0a/j2TRtrOx1jQ0N5NZxJegu/Tu0oql1DZkPjZGeLqeu3ZSrAfyxeBUAF9f+hW2tanLHsOo1GPu2LWjToK4sf75k536mrPEi2edfIHeO/HvMSCgufFZw/9AZNXv6eV5IpVneEHlx++FjJBIJHWzro6go5kbgA/7auV+2PaeniJfbuA+ur7h5inwr8uoKHLFoJYGhj7mwdrHssbLaWuyZMxWXhSvw/OcQIpECfVo3p46lmeyKuCjWPLp168b69esZNGgQenp6uLvnPZO1KBAVFcXChQtZsWIFSkpKmJqYMH39VgK2rs7XVC/nbNL3WbbrABNXbkQsEmHnMpHqppXQ09SkQjk97j15jqJYjIZdV5JSUhCLRdQwqczO2VOoapx1sWRlXIlZG7Yxa+M2JBIp3Zo35qDPZUb26ipXA1ix918CHjzMFdgv3Ari/rMX7HKfIvd49t25RCIhOTUtzxz5t56RUFz4rOAO+Z9Rs6efT1q5iY6N61NRX4/EpGR2nfbB+2Ygx5a48/DFK7afOEcH23roaZUh+PEzhi/Icoub5ph1pm1Sqwbly+rRtZktnmNdPrqexwf+lv1dnDxFvhV5+ai7Ll7Fvxev4LN6Ua5Bx20a2BC614vo1/EoisVoaahj2LEPJu8c/Iqqj7qTkxMxMTFMmDABXV1dRo8e/b2XJEdsbCyLFy9m2bJlKCgoMHbsWMaMGUNMTMwXDU85eN6XjMxMWtj8RF0rcwIfPuHIpat0btqQE1f9yMyU0KtVM3q3bsbl28Es2LqHJkPHEHF0F2KxmE1TR5ORkcnB81md4ge8L1FKRUWuWJqckkpg6CPKqOf24t/073FsqppjbW4q93j8myRU3tn5fsjQ61vPSCgOfHZwh7zPqD+ZmfAyKpob9x6w+7Q3YTFxaKqXplYVE44tcad1/To8j4ji7I1bLN9zkDfJKVQsp0fX5rbMcOqLjmZWXjd7SlP2LWRBKekV8s8lpypDKpXiungVB30uc26Vh6xAlhd6WpoAnL1xi8i413RumpWvL8o1j/HjxxMdHc2YMWPQ1dWlf//+33tJxMfHs2TJEpYsWUJGRgaurq6MGzcOPb2syUfa2tqf37G7YDnnb92mVb3axCUmsmT3AVktS1VZBYlESj0rC7bOzDKE69i4AU9eRbDzlDdPwiKoUsGINQeOEvzkKYc8ZjJp1SZeRkaTmJzMjHV/y2oAS3ZlHXfIe/YACUlJ/HP2AotcnXOtLyDkEdVNKuM4e3GBcuTfckbCj84XBXfI+4yqqKhI6POX3Nm5Ps//gBX1y+K9emEeR8siKTmFscvW07xOLZkHc0EoSXaeX4NsVcbvi1ay8+Q5Di6YIVM7AGiqqVHqnfeP15GTWBlXpKyWJr5Bdxm1ZA2jenf7YWoe8+fPJyYmBicnJ7S0tOjcufN3WUdiYiLLly9n0aJFpKSkMHz4cCZOnIi+vn6ufT8n/zxu+XqeR0SxZfo4+rZrCUBmZia7TnnTb9ZCaphW5sqdu1iZVJI9Nyk5hfDYOMQiERX1y5KcksrUNZvZP9+Njo0bcPKaPxsOHcPEUJ8MiURWAwCoWrkii/6QD+K7TvkglUKfNs1zrfH0dX/eJKdy99nLz8qRC4E9f744uGeT84waGhr6RbeQwz08eR4ZyU/mpiQlpwgV8m9Edg/Dy8iscWV2v0+Q275p2hgGdsxSZtx/9oIpq72ITUjE2FCfKQN7M7r3r8CPUfNQUFBgzZo1xMXF0bNnT06cOEGzZs0+/sRCIikpiZUrV+Lh4UFiYiLOzs5MnjwZIyOjDz7vU/PPmmXK0LlpQ/q2a8nt0MfYOo8mJS0N9VKlUFQUo166FI1rVuPBsxes2vcvE1duJCk5BW0NdWqZmaCspESj4aNIz8jIpWfX0lBHV7MMQ7t1YOmuA1wMuMO9p88JfvyMnyyqyPZz7toB5/esDiDr7vxVdCz16tZlx86dwm+2kFGQSj8gkv0Cdu7ciYODQwEH22aRM0AP//UXvI6cxFBP56PDdXNWyAvT26Sk4e/vj42NDfvmuX3Uv/tD7Pe+SI/J7vj5+RX51FhKSgodO3bkxo0beHt7U7t27Xz3LYwUQHJyMmvXrmXevHnExsYyaNAgpk6dSsWKFT/+5PfIebd8OyhILv/csFEjHB0dsbW1Zd6wgYzq3Y209HSehUfJpMmLd+yjo209pgzsQ2PnMUzq34ufa9fg/M0g5m3ZRUX9sgTvXI/tkFEEhDxCCpRRK4VFxQq8io4lLDqGv0YORUdTg/WHjnPn0RPiEt/gv2WlXHDPi6TkFGo6DKVs+Ypcu379Mz9NgQ/x1YI7yJtPFUzClGVDkO0Yd+/Jc3pNm8Pth08KNFx3rVAh/2Ja2NnxNOQBAVtXfXZXoHU/FyqbW/wwLnyJiYm0aNGCp0+fcvHiRSwsLIAPD6BuZGv7ScW71NRUNmzYwNy5c4mIiGDAgAG4ublhbGxcaO/j/ZOPRCJBLBazYcponDq1zbV/pS59iU14w+tT+zh+5QZTVnsR8uIlJoYGuPbswnjP9ayfPIr7z16w9+wF6lez5ORVf2ITEjHU0+F5RBS9WzVj8/SswTpPwsIx/XXgR4O7RCLBcfZi9vpcJjAwUPjNfiUKLS2TFwW9hTxx1Y+I2DgsKpZnmqM94TFxDPxzkSxw16tbl6pWVgQHBwsV8q9Mfj0MBeFHrXloaGhw7NgxmjRpQps2bdi2bRvT3dw+OIC6oFbHaWlpbN68GXd3d16+fImDgwPTp0//KgHt/e/qY8PGDXV1eBEZLfNv+aVJg/+vOz2dccvXk/pOuvwkLIK4xDeoKCnR5edGzBk2kKt37tF3pgcoKLD63WDtjyGkT78dX/XKPSf53UJWqWKKWKxIRkYGjx49yvPW8v3ALVTIvy5fmlL7UZtHnj9/zk8//UR8fDyVDcqxcMTgAlkd55UOzMjIYOvWrfz55588ffqUXr16MWPGDKpWrfot3xJ1bWyoYaCDoZ4u7RvVk5MmL9i6h5pVjIlNSMSpU1t+adyAslqavIyKxmPbP1y4FUTwzvX43Q/hbUoqFhXLExEbx5zNO7n39AVBO9Zy+IIvzvOWUaGcHhP793olvlAAACAASURBVMTFY0WeV+5C+vTb882C+/vkF6CFwF00+PSU2o//o822OrZvY/dJIx6zT2rbtm2jV69e7Ny5k1mzZhEaGkr37t2ZOXMmNb6TcsjV1ZUDe3bTut5PnPMLkJMmT+jXExNDA2r1HYZOGQ0yMjOJS3yDvo4WP/9UEzcnezkn0GySklMw6+HIOIfuBIY8Zs/ZC9Q2N+XKO0uBXxo3wM7GWu7u/NR1f8KiY4X06TfkuwV3gaLP+5OYPtYV+CP/aENCQrC2tsbcyIDAh4/ltunraBP2307Zv+8+ecaklRvxuXkbiVRKNeNKlC+rx1Hf65SvUIFHjx7RuXNnZs6c+cEC7begIEXynSfP0Xfmh4duvE/LERN5GRlNyItXbJs5gT5t7Dhy8Qqdx8+kmkklHr4MkxusU6a0Gmf9bpGZmSlcvH0jhOAu8FHySqmJFBSoWbMmTX/+uVjUPFrY2fEs9AE9WzTl8MUrnFo+T7ZNLBJRVlsLyPKxbzBoJE6d2tKndXM01dW4++QZ1U0q09xlPMmZUv47epR69ep9r7eSi4IUyXOOy/uYOm2f9wX6zvBAQUGBLdPHyYaFvF9QzXkXvmTnfqas3UJKSt7zlwUKn69aUBUoHrzfFRgcHEz16tVZumwZzZs3/34LKySyrY73zXMjIPQRimJxnlOKAKat3UIH23p4jBgse8y0vCEAf40aSo/J7kXOcbIgRXL7tnbUr2aZ5wCeE1f9MCtvSFhMHBcDgoh6HY9YJOLU8nk0q1OL2PhEnkVE8io6BsjqgQAw0NWWfY5FvamtOCIEd4FPxswsy8HzwYMHxSK457Q6Dgh9RMjzl5TvZI+KkhINqldlzrCBmJY3RCKR8N/la4x36EG7UVO4+eAhJoYGTOrfi67NbIvseMeCWueaVTSSG8Cz9+wFtp04g0Qi5SSgAJRWVcXOxhrPsS5UM6kMZDUjObn/JTtOH7esu57pgxyYObjfD9HUVhwRgrvAJ6OsrIyJiQkPHjz43kspFHJaHTeoXpUt08fLKUMaO48haMda0jMyePM2mQVb9zDbeQDzXQZx/MoNuk+ezdkVC2hWp1aRszrO5lOsC2pVMcXOphYHfS4jkUj5Z840urdoku+xB3ZsI+tczgvByO/7IOTcBT6LDh06oKioyOHDh7/3Ur4YVVVVWRfn+2QrQ8b37UHvVs2p0NmBPq2bs/3PSbJ9uoyfgVopVXb8ObnI55Y/tUj+9u1bIl88L1FNbcUF4cpd4LOwtLTk6NGj33sZXyydzcvqOCdqpVSpWcWYkOev0NMqg6JYLGeyBVDVuBKXAu4ARdfqOJtPtc79Up+oH7GprbggBHeBz8LCwoIVK1aQnp6OUo5xe1+bwrQEgI93caampXH3yXOaWNdAWUmJelYWPHhXMMwm5NlLKhuUA4q21XFOCmqdK4y6+3ERgrvAZ2FhYUFGRgZPnjzB3Lzgtsyfy/vphC+xBHgfsyqmsulh45avp1OTBlQyKEdk3GvmeO0kIektAzq0ytru0IPebvNo+lNN7OpYc/zKDf69dIVzKz2AH1cV8qGTkTDq7sdECO4Cn0W2udaDBw++enDP2S27b55bgSwBatWq9cFu2ZSUFP755x/Wrl3LneC7RIeHk5GRycuoaOxnzCf6dQJltTRpWKMqvhuWUPndhKluzRuzeoIr8//ezci/VmNZuQJ757rRxLpGsVaFCKPufjyEgqrAZyGRSFBXV2fOnDlfdVRdtiXA5/rcbNu2DXt7e9m2+/fvs27dOjZv3kxsbCytWrWidevWTJw4sURZHX8JBbEaLs7v/0dBCO4Cn421tTW2trasXr36qxw/2xKgRzNbWTFv9f4jrNl/hCdhkQBUN62Em5MD7RvJd4TmtJW9ceMGQUFBrFmzhnPnzqGrq4ujoyPOzs6yu46SaHVcWBTV4nFJRwjuAp/Nb7/9RmxsLGfOnPkqx8+2BLj19/8D7r8XriAWizCrkDWxaMvR0yzavhf/LSuobmos9/zsgRDhsa9JSU2ladOmDBs2jF9//RVVVfkAnq0KyXkiKSiCP7lAUUQ43Qp8NhYWFrJGJolEUqjHzrYE8Ph9kNyVdKemDelgWx+LShWwqFSBOcMGol5KlStB93IdQ62UKov+GEJKaip79uzh/Pnz2Nvb5wrs8H9VyLYTZ3GcvZik5ILp1JOSU2TDnTdu3CgEdoEigxDcBT4Lf39/rl27RnhYGKqqqojFYlRVValrY4Orqyv+/v5fdPyclgD5kT3oOSkllUY1rfLcJ9sS4Pz58x99zT59+rBt2zb2+lzGup8L+70vkpGRmee+GRmZ7Pe+iHU/F/b6XBZUIQJFDiEtI/BJ5JQkGpXVo3W9n7A2ryInSTx9I0sx8amSxJxkD5nwchuXa9v7g563z5pIB9v6+R5r4J+LCI6M4/qNG5/8Hou71bFA8UUI7gIFJqckceGIQZ89paggfMgS4P1Bzxv/PYH3Kg+ZkdX7fK4lQF6qEEVFRRTFYgYPGSKoQgSKNILOXaBAfIokUVFRTLfmjWnTwAYXD08cHByQSqVyksQP8TFLAGUlJcwqZhVU61pZcOPuA5btPsjaSSPz3P9zLQHy6uLcs2cPffr04c8//0RbW7vAxxIQ+NYIwb2E8imBLiQkhMGDB/NrM1syJRIqd+1HcmoaFpXKs2HKaGyqZskJHWcvYsvR03LPrV/Nkr5tWzB48GDq16//wfSFVColODiY8+fPoygW52sJkPt5WVfz+VFYlgAikUg2A/XevXs0atToi44nIPA1EYJ7CeFLPFmGOjujr63J9bsPaFH3J47+5U45HU0evghDS11Nbt92DeuyadoY2b+VFZVQUVbi0u27OA8ZIqcBz8zMJDAwEB8fH86fP8+FCxeIjo5GUVGR0qVLyywBcjJltVeuQc/eNwM5tsQ93/demJYAlpaWKCgocPfuXSG4CxRphOBezPlST5ZsSWLXZrZEv45n07Sxsm3Ghga5Xk9FWSnPKUYeI5zoMdmdLVu2EBERwfnz57l48SLx8fGoqKjQoEEDhg0bRrNmzWjUqBGTJk3iwJ7dZGRkyuX1I2Lj6D/LQ27Q87El7rSun/eJqbAtAUqVKoWxsTF3794tlOMJCHwthIJqMaYwCqCurq4c/GcP6qoqtG1Yl5eRUfjcuk15PT2Gd/+FIV3ay47jOHsRB8/7oqykiJa6Oj/XrsmcoQMpp6NFRkYmFbs4EBH7mtKlS2Nra0uzZs34+eefqV+/fi7teUEGOxeEr2EJ0LFjRxQUFDhy5EihHE9A4GsgBPdiSmF5smRLEned9gFgdO9f+a1FU64F32f00rWsmfgH/d85Ju4+7YN6KVUqG+jz+FU409f/TUZmJje8PFFRVmbgn4u4/uQFAQGBBbIJLqqWAGPHjuXQoUOEhoYW2jEFBAoboYmpGJJdAO3btgVebmNRK6XKvC27EDVqx6gla2T7DZ2/DLMejpRu1ply7XvhMGM+E/v3lBVAQ0NDCbpzB2vzKkgkUupYmDF3uCO1Lc0Y2q0jg7u0Y82B/1+99mrVjI6NG1CjijGdmjbk6F+zefDsJf9dvgaAtbkpjx49LrD/+7r16wmLjcPFw/OTO2BzDopYV8iDIqysrHj8+HGRnbYkIABCcC+WDHV2xkhXm1UTXBGJRFwPvs/6Q8eoZWYit59NVXM2TR1D8K51HF/qjlQqpf3oaXiOdcFQR5shgwfLJImGejq5JhBZGVfiWXhUvusw1NOlskE5Qp6/AuQliQWhqFoCWFlZIZFIis0MWYHiiRDcixnve7K8eZtM35kerJs0Em0Ndbl9nbt24OfaNTE2NKCOpTmzhw7geUQUUa/j8RjhhLePj0yS2LhmtVwTiB7kmECUFzHxCTyPjMLwXYH1cySJRdESIFsOKRRVBYoyglqmmPG+J8uIRSvpYFufVvXrMGfzznyfl5ScgteRU5gYGVBRvyyVDfTR19EiJj6RgJCHjOrdjcbOY5i7eRc9W/7MteD7rD90VNY49OZtMjM3bKO7XWMM9XR4EhbB1NWb0dPUpFszW+DzJYlFbVCErq4uZcuW5d693GZlAgJFBSG4FzN8L1+mpU0tFBXF7Drljf/9UK5tWp7v/qv2/cvElRtJSk6hauWKnFw2F+V3OfG2Deqy/cRZTlz1Y/3k0eyfP50pq72Y7bUdE0MDlowahkPbFgCIRSKCHj1m6/HTvE5MwlBPB7s6tdjlPgUNtdLvJIm36Naz92e9r08d7Py1sbKyEq7cBYo0QnAvZgTduYND04E8j4hi1JI1nFg2F1UV5Xz3d2jbgtb16xAWHcviHXvpNW0uF9f+haqKMtbmpuw85U14TBz/XrxCt+aN+aVJgzyPU0pVheNL5+b7Oocv+vIyMhp9ff0ven8FHez8tbGyssLX1/ebv66AQEERcu7FiJyeLH73QoiMe01dxxEoNemAUpMO+Ny8jec/h1Bq0oHMzKy8dUDII8YuW0ef6fP49+JV7jx6ygGfS0BWATQ9I4PmdWoxfsWGAhc03ycpOYWxy9ahKBbj5uaGsrJyoVkDf68JQFWrVuX+/fuyz1FAoKghXLkXI0QiESoqKiQkveW3Fk0J3LZGbrvTnMVUrVyRCX17IhZnNTMlpaRQy9yEgb+0psdkd6RISX3n0xL/JgkVZSXWTRqFdb/huHh44uU2lrUHj35w1N3DF68Y77mBi4F3SE1LQ1tDg1fR0Yzv25Mq5Q0L1Blb1LGysiI1NZWnT59iamr6vZcjIJALIbgXM2pUr05AyEM01EpTo4qx3DY1VVV0ypShRhVjHr0MY/dpH9o0sMG5SwdeRkUDWY6LHRpleaMHhDxCT7MM9jPmIZVK2Xr8DOf8AxjbpwfzXJzkRt11nTAL/y0rMDY0oO2oqVibmXBk0Sxme+3kv0tXMS1vyGzn/nJX2jk7Y2vVqvVZ1sDfCyurrOEgd+/eFYK7QJFESMsUMxrZ2nL6RkC+csFsVJWVuRhwh45j3DD/zYle07Ly5fOGO8rsAs7cuIVYJMKleyeuey3HpXsnXkRGM27FOl6/eYOpkWGuUXeXAu/wJCyCbs0bYz99Pmdv3GLdpJE8ehnG2Ru35NaQbQ0csHUVPZrZ4uDgwI4dO77aZ1OYVKhQATU1NaGoKlBkEa7cixmOjo6sWLFCVgDNyblVC2V/G5XV5b+/ZsttFzVqR/myesC7AmhUND1b/kwtMxOqmxqjoKBAOS1NIl/H03eGBxNXbMLOxhqQkvg2mQfPXrLjxDkkEgn9Zy1EUSxGUSzG85/DKCgocDHwDq3q12Hmhq3sPuXD88golJWUsLE040/n/gAFsgYuCohEIiwtLYXgLlBkEa7cixl16tTBrnlzxq/Y+EUF0HHL12Okp8OlwGDqDnSl5YiJ+PgH0ti6OgAeIwYRERvHtuNn2Hb8LBmZmfy1cx++QcEAmBgZcNpzHjc2e2JipI9UKiUsOhYAi4oV8BzrQuC2NVxYs4jKhvq0Hz2NWc79MdTRxnnIkML5ML4yVlZWgtZdoMgiBPdiyJd4skilWZ4sEbGv8V61iMf7t7BvnhtPwyO58+gJD569pIl1df7o2ZXgneu5tmk5E/v1REtdjUyJhHaN6lHdtDIKCgrY/T4R637DKaNWmjqWZrIirn1bO1rVr4NpeUOqmxrz10hnEpLe8vDFKzxGOHHO2/uLVTTfgmytu+C9J1AUEdIyxZBsTxYHBweAArtCAizfc5jzt26zbeYE2Si7bs0b06pebTRb/Up4bBzHlrqjKBbLjbrbfuIs6RmZ3HvyXGYNnPAmq5mp6U81OXXtJiaGuTXuaenprDt4DE11NazNTdFSV6d8ubJ4eXkV+fmkVlZWxMXFERkZ+cX6fQGBwkYI7sWUPn36IJVKGTx4MOdv3WbxSGc6N2mUy8/9zdtk7j19js/NQAAuB97BfegAGteqLrffkHlLAVBRUsL8NydS09JRUVaihqkxDWtYEZuQiKGuDo/Dwllz4Aije//K5AG9uRZ8H9fFK0lLz6Bz04ay4x25eJU+0+fxNiUVQ10dTi6bi56WJgAtbay58gM0COX0mBGCu0BRQ/BzL+aEhobSws6O5y9eUL6sLi3r1ib6dTzBT54RFh2LRColPSMj1/P6tm2BpoY620+cJT7xDVJAS0OdLk0b8iIyGpuq5igrKREY8oiz/gG8eZuMUVldomJfU8mgHFtnTqCslia+QXcZMm8pOhoavDzyfyVMUnIKYdGxRMfHs/7QMc75BXBlwzLK6WixZOd+pqzdUuQtddPS0ihdujQrVqxg2LBh33s5AgJyCFfuxRwzMzMOHjqEjY0NlQ302XHyHJkSCVKpFCVFRcwrGpGUnEpqehoh/3jJ0jfDPTzZceIsCW+SADAxNKCUijLuQwcyfsUGdp3yITw2a9RdfSsLmljX4O9jp8nIzCQ9I4NuE/8kNiERY0N9OtrW50qQfOFRrZQqZhWNMKtoRMMaVlj85sTGf48zeUBvOWvg79WBWhCUlZUxMzOTKWaK+noFShZCcC8BZCto/K5fx0BXm0f7tiASKcgCUVTca/Q79MbvXgg/165J/JskNhw6RmaOYuzjsHAAKnbpC8CmaWMY2LGN3OuM7/sbNR2G8iQsgm0zJ2Lf1g6A0UvXypQy+SGVvtcZ+4nWwN8Df39/0tLS2LplC2vXrv2koeMCAl8bIbiXENatX081Kyu6Ncudd49/8xYAnTIaABy64EumREJpVRXepqTmOtbwX3+RBXbf28FMW7uFq3fuoaSoiKmRAU/CIhg4exH6OlpExL6WswZOSk5hzuaddG7aEENdHWISEli17wgvoqL5rUVT4POtgb8VOYeOG+rp0LlxPazNqxR46LiAwLdACO4lBDMzM1BQwNq8itzjUqmUscvX0sS6usyuwGPrHgCCdqxDVfn/I/F+GTsd//uh/NYyKwj73g6m/ehpTOrfi+VjhqOspERAyCPSMzIYOHsxbUdOwaJShVzWwPefPqfH0dNExyegq6lBPSsLzq9eRHVT43fWwAF069nrG3wqn07OoeP75rkVaOj4j2atIFA8EIJ7CUEikZCenk4ZtdJyj49YtJLA0MdcWLsYAL97IQQ/foaiWIzxe9LFqNfxlFErTbPatQAYs2wdrr91YVL//wdi84rlAVBRVqLHZHe2zZpAHUtz2XZVFWX2zZ+e7zqzrIGjcHR0/LI3/BX4lKHj2dYKbRrY4OLhiYODA1KpFHt7+2+4YoGSTNFOagoUGjkdI7NxXbyKfy9e4exKDyqUKwvA5v9OoadVhozMTOISEmX7pqWn8yoqBpuq5igoKBAZ+5qrd+5RTkeLxkNGY9ChN82Hj+diQBAAnZs0onxZPbyOnCrwGpOSU5iwYhN2zZsXuVx1SEgIjo6OGOnpcvr6TTRadOWgz2W5ffZ7X6TdqCmUbdcTUaN23HrwELVSqni5jZUbOi4g8C0QgnsJItsxUiqVMmLRSg54X+LMigWYGBnI9rkSdJfW9eqgpKjIqWs3ZY97HTlJpkTCoE5tAXj0KgyAWRu2MbhLe44tcae2pRmtXCcT8vwliopiWtb9iat3Cua9IpFkdcaGxcaxbv36QnzXhcNQZ2d0NNSxb2OH5ziXPPdJSk7BtmZ15rnI33WIRCJWTXD9oawVBH58hLRMCaKRrS0H9uzGxcOTXad9OLhgBhqlSxEek6Vk0VRTI+jRExzatqCMuhrjPNehq6mBThkNpq7ZTBm10vRq1QwAiSSrPcK5awccf8kqrta2NOPsjZts+vcE81ycsDY3ZfcZn4+uKyk5BRcPT7adOMv27duLXPExe+j4vnluuczYctKvfSsAnrxTFuVErZQqHiOc6DHZHX9//yJ3ZyJQ/BCCewki2zFy7cGjANj9PkFu+8Ypo0lNy8rLLxk5FEWxmF7T5pKUkkpqWhrrJ4+S+cMY6ukAUM2kktwxrIwr8TwiCsia5JSalk5aWjrKOQqz2WRkZHL4oi8TVmwiLDaO7du3F8mi4/tDxz+Xzk0a/TDWCgI/PkJwL0Fk692fhjwgYOuqPAuCLotWkJD0FlUVZTzHuuA51oWZG7ay7uBRBnRoLdvP2FAfIz1d7j99Iff8B89e0q5RXSBLry5SUKDKb060tLHG2twUTXU14t8kERDyiDN+AbyMjKKFnR0n1q0rclfs2eQcOv4lKCqKfxhrBYEfHyHnXsL4mGNkDVNjAkIeyv4tkUjY/N8p+ndoLRfcFBQUGOfQA89/DrH37AVCn7/Cbe0W7j19LsvLB4Q8oqpVVbr17EVwZBxT1m5h8NwlTFm7heDIOLr17IWfnx9nzp4tsoEdsoaOvy8h/VyszU25HRRUKMcSEPgQwpV7CeNjjpENa1hx0OcyGRmZKCqKOX39Js/CI3H6pU2uY43q3Y2UtDTGLFtLbEIi1mamnFw+lyoVjOT06p6enrLn/Ggt+jmHjhcGP4q1gsCPjxDcSyA5HSMv3b6LxwgnmWOk4y+tWbn3sGySU5sGNkh8j+d7rEn9e8np3LPJT6/+owW0vCSkX8KPYq0g8OMjBPcSir29PfXr18d5yBB6THanfLmysry4lXFFxi5fR5sGNgX2gc9JUdarfw7ZEtI3b5MJffFK9vjjV+HcevAQnTIaVDIoR2x8Is8iInkVHQPA/WdZ9QgDXW0MdLMK0EXdWkGg+CBY/grg7++Pl5cXV3x9uR0URGpqKiKRiD5tmrPFbdwnXWVKJBIcZy9mr89lAgMDi3QuvaC4urpyYM9uNk8bQ+s/JufaPqBDK7zcxrH5v5M4uf+Va/v0QQ7MHNyPjIxMTLoPzJWqEhD4GgjBXSAXEomE3bt34+DgUKBW+2ze16sXRVnj5+Dv74+Njc1Hde4fY7/3RXpMdsfPz69Y3NEIFG2E4C6QLzlNsnLm5d/nfb16cTTJamFn90EJ6cdISk7Bup8Llc0tOHvu3FdYoYCAPEJwF/ggOe1tc+bl89Orry3CevUvITQ0lFq1atGjmS1ebmNLfKpKoOgjBHeBApFXXl5FRYWaNWrQsFGjEjGYYufOnUKqSuCHQQjuAp9FSdVpC6kqgR8FIbgLCHwiQqpK4EdACO4CAp9JXqkqsUhE7dq1S0yqSqDoIgR3AYFCYtGiRcyYMYPExMQSmbISKFoI/wMFBAqJqlWr8vbtW169evXxnQUEvjJCcBcQKCQsLCwAuH///ndeiYCAENwFBAoNExMTFBUVefDgwfdeioCAENwFBAoLJSUlTE1NheAuUCQQgruAQCFiYWEhpGUEigRCcBcQKEQsLS2FK3eBIoEQ3AUEChELCwseP35MWlra916KQAlHCO4CAoWIpaUlEomEhw8ffnxnAYGviBDcBQQKkWw5pJCaEfjeCMFdQKAQMTAwQF1dXSiqCnx3hOAuIFCIKCgoCEVVgSKBENwFBAoZCwsLIbgLfHeE4C4gUMgIWneBooAQ3AUEChlLS0siIyN5/fr1916KQAlGCO4CAoVMtmImJCTkO69EoCQjBHcBgULG3NwcENwhBb4vQnAXEChkypQpg6GhoVBUFfiuCMFdQOArIChmBL43QnAXEPgK5FTMSCSS77wagZKIENwFBAoZf39/goODCb4ThKqqKmKxGFVVVera2ODq6oq/v//3XqJACUAYkC0gUEiEhobiPGQI57y9MSqrS+t6tbE2r0IZtdIkJL0lIOQhp28E8DIyCrvmzVm3fj1mZmbfe9kCxRQhuAsIFAI7duxg8ODBGOpos3DEIDo1aYiiojjXfhkZmfx78QrjV2wkLDaOjRs30qdPn++wYoHijhDcBQS+kB07dtC3b1/6tm3BqgmuqJVS/ehzkpJTcPHwZNuJs2zbtg17e/tvsFKBkoQQ3AUECohEIkEkki9ThYSEYG1tTY9mtni5jc21/WPHc5y9mL0+lwkMDCxQiiavNQgI5IXwv0RAIB/8/f1xdXWlro1NvoXRoc7OGOlqs2DEYMYsW4dxt/6UbtaZxkNGcz34/01MUqmUmRu2Ur6TPaWbdcbOZTx3nzxj1QRXDHW0cR4y5LPXICCQF8KVu4DAe+QsjJYvV5ZWda3zLYwC7Jvnxu7TPgQ9esKq8a4Y6emy7cQZlu46wJ0d6yhfTo8FW/cwd/MuvNzGYFGxAnM27+T8rdvc27WBU9f96THZHT8/P+rUqfPJaxCKswJ5IQR3AYEcfEphtMuEmdx8EMr93RvRaduDgwtm0LFxA9k+tfu70LFxfWY7D6B8J3tG9urGxH49AUhNS8OgYx/muzgxqFM7TLoPpFvPXnh6egrFWYFCQUjLCAi8I7sw2qOZLQFbV9GteeM8gyqAoqKYyLjXtG1gA0BmpgRVZWW5fUqpKHMp4A6PX4UTHhNHm/p1ZNtUlJVpVrsmvrfvoqgopqWNNVd8fT95Dd2aNyZg6yp6NLPFwcGBHTt2FNKnIfCjIwR3AQGyCqODBw+mb9sWeLmNLZDiJejRE6zNq6ChVppGNaxw99rBq6gYMjMz2Xb8DFfv3CcsJpbwmDgA9HW05Z5fTkeb8NhYAKzNTbl9+zYDBgxAKpWy9fgZNFp0RdSoHYYds67G0zMymLhyI7UchqFu14XynewZMGsh8W+S8HIbS9+2LRg8eDChoaGF/OkI/IgIwV1AAGSF0VUTXGVqlHlbdiFq1I5RS9YAEBufiOviVVTtNQi15l1ITUvnyKWrxL9J4u8Z45FKoUJnB1SbdcJzzyHs2zRHLPr/VbeCgvxrSqVSFMh6UFNdjdS0NNRLqWJlXIlXR3bw6sgOXhzeRuC21QC8TUnl5v1Qpjna47d5BfvmufHg+Uu6TJiJSCT6aHFWoGSh+L0XICDwvfHz8+Octzf75rnJrtivB99n/aFj1DIzke33KjqGsOgYFo4YQjWTSlTrM4TboY8ZPHcJ/8ydhvfqhSQlp5CQlIShni69p83FxEifctqaAITHxGGopys7NhmmOAAAD6ZJREFUXlTca9nVfPybJEQKCtSrao7/g4d0GjeDoEdPSE1LR0VZiRqmxjSsYcX8352oY2kuO8byMcNpMGgkz8IjqWRQDo8RTvSY7I6/v7+sOCtQMhGu3AVKPJs3b6aCfjk6NWkIwJu3yfSd6cG6SSPR1lCX7VejijF75kylU9OGVKlgRC0zU6qZVOLfi1fJyMgEQK2UKmExsQyZt5R95y5y8qo/Fj0HAdB5/AxcF6/C/34Iaenp+Ny8TaOaVgBcuBWEWCTi1PWbxMYnEPz4KWqqqtSzsmCcfQ9qmFbmoM9l6g50peWIiYQ+fwVknRQUFBTQ0lDLeo0mjShfrixeXl7f7PMTKJoIahmBEk9dGxtqGOjg5TYOgIF/LkK7jAZLRg2l7sARZGRKUFIU57qSTkvP4FlEJEpiMVtnTuBlVAwbDh/jStA9lMRiNNXVmNivJ9plNDjgc5mTV/3QKF2K2IREymlrAVJC/vHi4HlfnNwXU6GcHn3btaRmFROsjCsSERvHnM07uff0BUE71qKppvZOHbOBsOhYVo0fwYq9h6lauQJbZ06UvZ+Bfy4iODKO6zdufKdPVKAoIAR3gRKPqqoq84YNZFTvbuw65c3czbvY+edk/liyinN+AaiVUqWHXZNcOvMjF68Rk5BAd7smGOrqsHLvYaSAloY6fVo3Z+5wRzTVs66opVIpszZuY92Bo8QkJCAWiZFKpQzq3I7V+49g38aONRP/yFXITUpOwayHI+P79mBMn+6yx4bNX8b2k+eobKBPwLZVlFFTkz1nyc79TFm7hZSUlG/2GQoUPYScu0CJRiKRkJqaShm10jyPiGLUkjWM7NWN+oP+wFBPh+omlWlR9yeWjRku97yEpCTuPnlO6uN0zvkFEJf4hr7tWubrLaOgoMDMwf2YObgfkBWg+85YwJoDR/itRVN0y2hQ3d6ZyNjX1LaowtLRw6hXzRK1UqpYGVfE68hJluw8QEx8ApUNy6GipIS2hjoRsXFExsbLBXdNdTVSU1MFq4ISjvDNC5RoRCIRKioqJCS9xe9eCJFxr5m6xouUtDSehkVw5/FTVuw9jFKTDmRmZuXVE5Pe0n7UNDRKl2LX7Mm8fpNEz5ZN0dZQp7q9cy77gbwkjC4enkTGvaaSfjkyMjM5feMmf08fT+C2NbRuUIfWf0zmZWQ0qWlpXAu+z6voWLbOHE/AttWUUlYmMPQx838fhFFZXYYuWCb3nuLfJKGioiIE9hKO8O0LlHhqVK9OQMhD2RXxL40bcPPvldz8exV1rcxxaGvHzS2rEIvFJCQl0XbUFJSVFDm0cCaLd+7D2KAc6Rn5B+i8JIw3HzzEN+guc4c7cuiCLwt+H8TPtWuy5sB/2NWxpnxZXdzWbeG3KXNISU1jYIfWNKlVg/Ge64mOT8DKuCJ3Hz9l8oBenPML4Oqdu7L3ExDyiJo1anzHT1SgKCCkZQRKPI1sbTmwZzdPwyMpX1YXK+NKdJ0w613zkRSxSEw1k0okJr2l7cipJL59Sx0LMyp37U9MfAL6Otoc9LnMoYUz+bl2TQBmDu7HofO+rD5wBPehAzm5fJ7ca1Y1rkjQoydUM6kk1936Mioa+xnzCY+O5eGLMH5p0oDuLZpyIeA2N+494PCFK7Jj3H3yXPb3gr//Yf+C6WRkZHLGL4BuPXt9/Q9OoEgjXLkLlHgcHR15GRmFt38gDWpUZdORE3iOdSF41zpMjQzxvx+K5z+H8bsfwtU79wh+/IxtJ84SE58AQERsHBKpFP/78p2h2fYDeREQ8ggAY0N9ue7WbTMnsOD3QaCggLGRPnvnubF1xniqGVfGdshoFMVilJWU2DJ9HBLf40h8j9O/fSteRGWZmB2+6MvLyCgcHR2/4icm8CMgXLkLlHjq1KlD+fLlyUx5S3xiEp2bNpQZgAXtXEePybPxu/eAkb26IvE9Tk2HofRs+TOHL1yhhmllvNzGoWHXlY2HTzCoUzv0dbTYecqbq3fuY17RCACTbv15Gh6Z67Unr/Li7xnjqevoSoXODnLbsm0Llu85xJU7dznkMZPKhuU4fzOI3xetxFBXh1b162BtbsruMz4kJacwYcUm7Jo3FxqYBITgLiAAoK2lhU1lKywrV2Ttgf948OwFFpUqEBDyiIsBd1gyaqhs38a1qvPvxSvcfvgY+zZ2nPMLQIoU7TLqVOjsgFgsoo6FGfZtmuN//yEA1zYtJ1MiIT0jA+d5yzhx1Q+A31o2pUoFI34yN8XYyIBRvbqir6PN0AXLSUlNIzkllalrNrN/vpvshFPLzJRbIQ9ZvGMfrerXeWddkM7wBcsJi43jxPr13/4DFChyCMFdQAAICQ3FqVUTRvbqSvybJKx6D0EsEpEpkeA+dAB92tjJ9l0+ZjhD5i7lxt0QJqzYgFgsZv3kkfRr3ypP+wGAstpapGdk0GvqXMJiYhEpKKBdRoP/tXenUVHdZxzHv7PAmCDKhGFARFABjYlKkMQFFySKta7VulWDEbcaYhBrgtGq0ZjEre4ejSuxiBKbqCUYIWF1Q6Kg4BaDW2yNC1FcwAEd5uYFOoqM1Fhte+jzOWdezJ05986ZF7/zP8//uc8N8m9uPW9tBwf8fL0pvHGTnQcPM+ftEdwpM3PHbK7U+aJRq7HcvUXlelExWo2G2G/SiI2NlbnuApBwF6JCr/vnyRnEJqUSO2MiLzfw4lD+KcYvWom7wZk3u4cA5WWSrGPfo9VqiBzQB083Y4UyicNzNSi8cZOkrOzy+jlYgz3/n+dJXPQx9fsMxdPVBZVKRdK+A1y9cZOYHSlEJ3zDbfMd9I416RfcjloODgT5NyNq2Rqe09nj5eZKxsE8YnakMH/caKC8fq9SqYiNjZV57uI+RQih6HQ6ZcG4PyoeRoOydEK4YslMtL4+HD1UaezpoVgyE5XitL8rGrVaARSj3kl5s1tnxZKZqOgdaypAhdcLtRyV0l0Jyu1d25Ve7VsrHkaDcvCvy5VPoyIUQHFxqq0UpW5T4mZOVgxOtRU7jUYx1K6lhLRsoXi6uiidX/NXLJmJyk8JG5Vh3UMUd4OzUsPeXmns6aH8JWKUUrZ3h3J713bFzVmvhIaG/rf/QvE/RlbuQnC/1/1WSWmVJZB9R7+nzGKhfh1Xajk4kLz/EGZzGYqioFGr0ajVODnWpFvga0wfFYqdVsvZCxetLYz+Q8Ot5y24dp35m75k6vAhDOjcocI1s7/P57Wwd8g5kU+Lxr6smzLB5u+O353JxSuFREZGPs2/Q1QD0gopBOW97skHcuke2JJPPotj+54szl64yNb0PSyM28rvggIpumVizJwlNPdpwOXCaxhqO3K+4GfGL17JjeJbtH+lGSW7Erj4dRzrpkzA09UIQP06bta2xTNb1qNWq9k65wOCA/xY/3UyxabKM2BaNPbBTqsl/+70R1ukO0ZURQaHCQHk5OQQEBDAhulRfHfsB7bt3Mvlq9dwd3FmUEgQ04YPYfSsxehrOTIxtD/+Q9+myGTCVFKKRqPGw2jgRrGJwhs3rav8B73VtwfvvdGPhn2H2bx+3MxJDOgcZH1/5NRZmr8xhvTl86w3Rj3IYrEQNnM+X2TsJS8vTzZRRSVSlhGC8l734I4dmbZ6A7kxy1k0fkyFz+O+TSfnxEm+W7eEGjp7XvTywM/Xm7H9euEX+hauej0roiKoYW/PsTM/8sn6OBq4uzE1bDBdxk2mf6f21DU4U9fFmd5BgUwZ9gcsFguBo8Zz7lIBM6M3UsfgTD1XA8fOnOPdJavxb+RN2+YvVfqtxaYSwucuZUNSqnTHiEeSsowQd61avZoLVwsJn7sUi8ViPX5vWmTM9Chq6Co+BNunnjtrJkeSdewEGxJTCHjRlzF9e7B1zgfsOnSE6IRv8K5bhyD/5qTl5HG+4AoR/Xvj+PzzTFoezblLBXh7uHP8zDmCw9+jUf8RjFuwgpBWLfh2yWw0mvuP6TOby9iSvhu/0HC+yNgr3TGiSlKWEeIBmzZtYsiQIbzxm9et43u3Zeyl7/sfotHcXwuVlVlQqVSo1SquJP6Nbn+ayr6jx/FyNTIvYhQ927bGIbg3NXT2vB86kMnDBgHlAR2/O5OoZWvLpz7eucPulQsw6p0YPXsR6Tl5uDm/QJe7d57WrunA9aJicvNPk5R1gEtXr/F6cDArV62SFbuokoS7EA/ZuHEjI0eOpM4LeuaOHU5wCz/OF1yp8J3hH8+nUT0PXm3iy+LPt/HTz1eYHT6ChD1ZpGXnYtQ7cbnwGiqVinljR6JSqcjNP03KgUOcL/iZ1wNewc1Zz8EfTnF00yrreXtOmMb+4yfwdDNy+NTdJz/Z2aHRqNE7G4iPj5fNU/FYJNyFsOHkyZOMHjWKtPR03Jz1dGkZUGElPXfDZopMJRSbStCo1QQ2f4n5EaMxONUiftc+ZqzZwPWi4vKGd0VBZ29HM+/6tHq5CWE9Qmji5Yl7z8FMCRvMhMG/t1534aYtTP40GlPGVwCYzWZGfLxQNk7FryYbqkLY4OPjQ2paGgMHDmT7V/EcPfMjn6dkWJ+haqfV4l23vN7ecngEl64U0jXyzxSZSqhnNNCrQxtidiSzZdY0erZrVal3PmZHMrdKShn6204Vjt+bE2OxWDCV3paNU/HEJNyFqMLEiRPZvHkzk98cRJ+ObW0+uk5nb8eYvj2IHNTHemz6mhiMeie6B7a0+USkdV8l0at9a1z0ThWOXy8qRmdvx7ade4lato4LVwtl41Q8EemWEaIK91ok31u2lmJTic2gbtqwPrn5p6zvLRYLn23/lqHdQtBqNZW+f/IfP7Hz0BFG9Oxa6bPc/NOoVSr6TfqI+o0ak5eXJ8EunoiEuxD/wqNaJO9p3bSJdQwBQPL+g5y7eJnhPbrYPN+6hCTqujjTpVXFjVGzuYykrGx8GjUmOzublNRUKcWIJyYbqkI8BlstkvfknMjn1WHv8OWsqfTp2PaJr7ElfTf9Jn1Edna2dMSIf5uEuxCP6eEWyV7t2ljLLp3GTuTHi5fJjVlRIfgfV7GpBL/QcLx8G5Galva0f7r4PyThLsSv8GCLZF2jC50C/PDzbUjJ7TvMWBvDgE4d+GzquzZr848ic2LEsyDhLsQTyMnJITo6mn2ZmRw+coTS0lK0Wi1lZjNDunZixUOlm0d5eE6MbJ6Kp0XCXYin4F6LZFWlmwfdH0NQ3u64du1aCXbxVEm4C/GUPap08+CcmJTsXM5fLpA5MeKZkXAX4hmxVbrR6XQ0a9qU1m3aEBYWJl0x4pmRcBfiP8TW3a1CPCsS7kIIUQ3JMkIIIaohCXchhKiGJNyFEKIaknAXQohqSMJdCCGqIQl3IYSohiTchRCiGvoFuOxJsnH55dIAAAAASUVORK5CYII=", "text/plain": [ "Graphics object consisting of 200 graphics primitives" ] }, "execution_count": 98, "metadata": { }, "output_type": "execute_result" }, { "data": { "text/plain": [ "(Graph on 100 vertices,\n", " 2615117517349564772614520758236679811/114752696193360080142336000000000)" ] }, "execution_count": 98, "metadata": { }, "output_type": "execute_result" } ], "source": [ "B = generiranje_dreves(100)\n", "AZI_min(B,10000, alpha = 10)" ] }, { "cell_type": "code", "execution_count": 0, "metadata": { "collapsed": false }, "outputs": [ ], "source": [ ] }, { "cell_type": "code", "execution_count": 0, "metadata": { "collapsed": false }, "outputs": [ ], "source": [ ] }, { "cell_type": "code", "execution_count": 0, "metadata": { "collapsed": false }, "outputs": [ ], "source": [ ] } ], "metadata": { "kernelspec": { "display_name": "SageMath (stable)", "language": "sagemath", "metadata": { "cocalc": { "description": "Open-source mathematical software system", "priority": 10, "url": "https://www.sagemath.org/" } }, "name": "sagemath" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 2 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython2", "version": "2.7.15" } }, "nbformat": 4, "nbformat_minor": 0 }