{ "cells": [ { "cell_type": "markdown", "id": "artificial-majority", "metadata": {}, "source": [ "# COMPUTATIONAL SOCIAL NETWORK ANALYSIS\n", "## Moses Boudourides" ] }, { "cell_type": "markdown", "id": "rocky-lawrence", "metadata": {}, "source": [ "# I. Graphs and Plots" ] }, { "cell_type": "markdown", "id": "french-aluminum", "metadata": {}, "source": [ "\n", " \n", "### [1. Constructing a Graph](#1)\n", "\n", "### [2. NetworkX Graph Generators](#2)\n", "\n", "### [3. Saving a Graph (as a file)](#3)\n", "\n", "### [4. Undirected Graphs](#4)\n", "\n", "### [5. Directed Graphs](#5)\n", "\n", "### [6. Bipartite Graphs](#6)\n", "\n", "### [7. Trees](#7)\n", "\n", "### [8. Weighted Graphs](#8)\n", "\n", "### [9. Multigraphs](#9)\n", "\n", "" ] }, { "cell_type": "code", "execution_count": 1, "id": "awful-december", "metadata": {}, "outputs": [], "source": [ "# The modules (libraries) of Python which are used in this notebook:\n", "\n", "import networkx as nx\n", "from networkx.algorithms import bipartite\n", "import matplotlib.pyplot as plt\n", "from collections import Counter\n", "import random\n", "import math\n", "import numpy as np\n", "import pygraphviz\n", "from networkx.drawing.nx_agraph import graphviz_layout\n", "from networkx.drawing.nx_agraph import to_agraph\n", "from IPython.core.display import Image, display" ] }, { "cell_type": "markdown", "id": "danish-array", "metadata": {}, "source": [ "\n", "## 1. Constructing a Graph" ] }, { "cell_type": "code", "execution_count": 2, "id": "latter-contamination", "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "display(Image('graph0.png')) #, width=1900, unconfined=True))" ] }, { "cell_type": "code", "execution_count": 3, "id": "improved-buddy", "metadata": {}, "outputs": [], "source": [ "def gne(G,name):\n", " if G.is_directed()==True:\n", " print(\"The %s graph is a directed graph\" %name)\n", " else:\n", " print(\"The %s graph is an undirected graph\" %name) \n", " if nx.is_bipartite(G)==True:\n", " print(\"The %s is a bipartite graph\" %name)\n", " if nx.is_weighted(G)==True:\n", " print(\"The %s graph is a weighted graph\" %name)\n", " if G.is_multigraph()==True:\n", " print(\"The %s graph is a multigraph\" %name)\n", " if nx.is_tree(G)==True:\n", " print(\"The %s graph is a tree\" %name)\n", " nodes=sorted(G.nodes())\n", " if set([type(n) for n in G.nodes()])=={str}:\n", " sn=\", \".join(nodes)\n", " else:\n", " sn=\", \".join([str(n) for n in G.nodes()])\n", " if nx.is_weighted(G)==False:\n", " edges=sorted(G.edges())\n", " se=\", \".join([\"(\"+str(x[0])+\", \"+ str(x[1])+\")\" for x in edges])\n", " else:\n", " edges=sorted(G.edges(data=True))\n", " se=\", \".join([\"(\"+str(x[0])+\", \"+ str(x[1])+\", weight=\"+str(x[2]['weight'])+\")\" for x in edges])\n", " print(\"The %s graph has %i nodes and %i edges.\\nThe nodes are:\\n %s.\\nThe edges are:\\n %s.\" %(name,len(nodes),len(edges),sn,se))" ] }, { "cell_type": "code", "execution_count": 4, "id": "outdoor-monitoring", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "The Example 1 graph is an undirected graph\n", "The Example 1 graph has 8 nodes and 9 edges.\n", "The nodes are:\n", " Eshan, Jackson, Kamal, May, Naomi, Oliver, Sonia, Zheng.\n", "The edges are:\n", " (Eshan, May), (Jackson, Naomi), (Kamal, Oliver), (Kamal, Zheng), (May, Naomi), (Naomi, Kamal), (Sonia, Eshan), (Sonia, Jackson), (Zheng, Oliver).\n" ] } ], "source": [ "# List of edges:\n", "\n", "list_of_edges=[(\"Sonia\",\"Eshan\"),(\"Sonia\",\"Jackson\"),\n", " (\"Eshan\",\"May\"),\n", " (\"May\",\"Naomi\"),\n", " (\"Jackson\",\"Naomi\"),\n", " (\"Naomi\",\"Kamal\"),\n", " (\"Kamal\",\"Zheng\"),(\"Kamal\",\"Oliver\"),\n", " (\"Zheng\",\"Oliver\")]\n", "G = nx.Graph() # an empty (undirected) graph\n", "G.add_edges_from(list_of_edges)\n", "name = \"Example 1\"\n", "gne(G,name)" ] }, { "cell_type": "code", "execution_count": 5, "id": "included-skiing", "metadata": {}, "outputs": [ { "data": { "image/png": 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bSwi62o+SZCtRp55LCO3u6v5/XlFsTPnOYXizDgy+bxLNS3+nRuyFp2ADUysUFJ6ECSn1nHWZ0oSU2oYsqw1EdzZk+ClLLaKesGcTLgmpOzSdEj4/4ijevGIBM4+4xJ3Vma5RsktBBmb0H+V0oJKwEkF1f6FXnacoAh70UT6t6SqURHVMSKkr6BL3S56QUu+juejfDdl+nk5SU8/fBUZls7HcuHE/YC/gOndWNlmxEruCC8yEFQpSbbpcwqOcxBcs8dV+Smaryy/VTEhpyNFc1ZFg4oSUeh/NRZ+XKegkWTTaNITNo03lQAXQjM2jTROAST7KF0fv6zOBgwihuTSWwqXJ5V1gmtlBwK+A3Qlv+o+BS919Yr3PW2xWAnQC/lgow7NmtKD+lxdU972qCSkNPZqrGr6szPBTlgIX9YbtT+jg04rwHlxMDfMZzDiZ0D/2WncWNWWtEo+8ug7TzLYBngYuAv5DOLo5mHB0AuGcZSX1C0ui/Z3wV2hWz4yrx4SUuq63g7pDbg1hGKvG2ZmakCK5IgrFqSnv7zxixnrgVjOud2du5qqTbJBXR5hmNgR40d3bb/W9i6w143ia6QyikuZ05iNO5UE6UsoXdOIf3MI+/J0POI5KWrAjL3JmFI73cyxr6MaFPAvcymj+SQjiVsD7wEXu/lHjam/UhJTE/ZpRvyO5avd1p7wxz0ekUJhxBGHy0A3ufBl3PZI5eXWECUwHKszsPuBBYLy7LwfgaS5nGYM5ld/QhdX8k+8wljO4iHs23Xo+/fgxN/AZ3Xicq5nGFAZETZXDkGAxYcjmOeC7hJm1v4Sif5txOKmHXHWB2JLUgm4BtZ/D04QUkSbkzgvRkebPzRjjzmdx1ySZkVeB6e6ronOYPwPuArqb2bPABbThRAbw1qZWWF/jMcYyinL+vukO9t95PIt6bUfrkha0fn0Z0/oNp3zQHDZM6EPFum35cP8DmXn4zvD9JYQjzNawsB103xMW/B66r6TmoFtM7YGoCSkiOcqd16PQHG3Gze58HHdNkn55FZgA7v4x0eKtZrYrcD9wO+V0pn3C+YntWYrTjPlss2nb8uOGUFq6gmblGyhq4WysaEHztesoWrsWW1NEl2nTaL7sQ94dPRAWj4CKTlA1GaXHDe7+eVM9TxHJLu5MMKMcuNaMX7vzftw1SXrlXWAmcvdPzOzvwPdpzhJW0GnTN+fQEaOCHqxiDh0A6DVhAjuN+wKA1xlMqxUzGfDRe0xmO4qAbisX8cpH2wOHAocBs4BtCSsmWBM+NRHJQu5MNuNW4Cozfu/OxLhrkvQpiruAdDKzXc3sMjPrHX29HXAGMJ4OPME0DuBzOrGSlrzAiXRlEs2ppLRrGwB6jZ9dx0M0ZyUVhFm3SwnnHm/J3DMSkVzjzofATcCPzTgw7nokffIqMIHVhIuPJ5jZWmA88CFwGcfwK/ryPmO5kj9wC80oZyQPArBsz74ANNtY87V+YRbrRrrzO+BLYC4wLXoMEZFN3PkUuAH4vhmHxl2PpEdeXVZSl2pXKHCDcVeeSb//vUyPKQtquXlPtEKBiNSDGdsRjjYfdOf5uOuRxsm3I8y6TCQ855JNWxbv1hlvVkz392oLyxLCOcpJmS1PRPKJO3OAq4GRZhwfdz3SOAUVmFFbuweB7lSF5rwhu9B+1qdYjUfaJdH+YwulLZ6IpI878wkLVh9lxqlx1yMNV1CBCRCtOnI/0JlK68XqHv3pNXF6NbsWE4ZhOwH3a7USEWkodxYTjjSHm/GtqIG75JiCOoeZyMZYFz4+YSQbWp/DoH+/RB0rFMRYqojkCTO2AW4kTBi8S81KckvBBiaAGZfSdv5XXN5zOimuUCAi0hhmtAFGA7OBP2klntxRsIFpRkvgPuAH7iyLux4RKRxmlADXE5qe3K5VfXJDwZ3DTDAMmKGwFJGm5k4ZMIawAMOVZjSPuSRJQSEH5gjglbiLEJHC5M4G4GbCWrvXRqNeksUKMjCjE++7A2/HXYuIFK5oKPZXwCpglBmtYi5JalGQgQkcBLzrTmnchYhIYXOnAvgdoQPZTdGkIMlChRqYI4BXY65BRASA6PKSPwGfArdEo2CSZQouMM3oTmhIMCXuWkREqkSheTehBeetZnSMuSRJUnCBSTi6HKdp3CKSbdxxd/5JGAG71YwuMZckCQoqMKN2VCPQ7FgRyWLu/Ad4hhCaPeKuR4KCCkygH+E5V9c7VkQka7jzBPAf4BfRMmESs0ILzOHAa+rfKCK5wJ3/EjqS3WzGjnHXU+gKJjDNaEYIzFdjLkVEJGXuvAL8BbjRjF3irqeQFUxgAoOAxe7MjbsQEZH6cOct4HbgejMGxl1PoSqkwByBJvuISI5yZxKhK9DPzNgn7noKUUEEZrQywDDgjbhrERFpKHemEvrP/sSM/eKup9AURGASwvITd1bEXYiISGO48zEwCvihGYfEXU8hKZTAPBRN9hGRPOHO58B1wHlmHBF3PYUi7wPTjG2B3YDxcdciIpIu7nwJXA2cYcaxcddTCPI+MIGDgYnRgq0iInnDnXnAVcCxZpwSdz35rhACcwQajhWRPOXOIkJoHmbG2VELUMmAvA5MM3oC3YH34q5FRCRT3FlGGJ4dRjivqdDMgLwOTEJnn9ejBVpFRPKWOyuBa4BdgR8oNNMvbwMzerNodqyIFAx31gDXA70J12o2i7mkvJK3gQnsDDgwI+5CRESaijulwGigPXCFGcXxVpQ/8jkwRwCvaGUSESk07qwHbgKKgWvMaBFzSXkhLwMz+ovqEOC1uGsREYmDO+XArUApcEPUIlQaIS8Dk7AyyQJ35sddiIhIXNzZCNwGLCIsD9Ym5pJyWr4G5qFoZRIREdypBP4AfA783Ix2MZeUs/IuMKNhhyHAuLhrERHJBtFcjv8jXJP+CzM6xFxSTsq7wAT2B6ZF1ySJiAibQvMfhIOJX5jROeaSck4+BuYIdO2liMhW3HF3HgSeB241o3vcNeWSvApMM9oDuwAT4q5FRCRbufM48CjhSLN33PXkirwKTMKlJBOia5BERKQG7jwL3A/cbEafmMvJCfkWmCPQcKyISErceQm4izB7tn/c9WS7vAlMM3oBnYGpcdciIpIr3BkH/J7Q3GD3uOvJZnkTmISjS61MIiJST+5MBH5DaKM3OO56slVeBGa0MskINBwrItIg7rwH3AxcbsawuOvJRnkRmISZsRsJnSxERKQB3JkGjAEuMeOguOvJNvkSmIcCr2plEhGRxnFnBmFNzQvMODzuerJJzgdmtDLJQWhlEhGRtHBnFnANcLYZR8VcTtbI+cAE9gLmurMg7kJERPKFO3OBq4CTzDgx7nqyQT4E5qFoso+ISNq5s5AQmt8w44xogmXByunANKM1sA/wRty1iIjkI3eWEELzAODcQg7NnA5MwsokH7qzOu5CRETylTsrCOc0BwLfL9TQzPXAHIEWihYRybjowOR6YEfgx2Y5nx/1lrNP2IyOwM7AO3HXIiJSCNxZC9wAdCI0OCiOuaQmlbOBSViZZLw7G+IuRESkULhTBtwElABXmdEi5pKaTC4H5gg0HCsi0uSiA5VbgHLgejNaxlxSk8jJwDRjO6AD8EHctYiIFCJ3NhIati8DxkRXLeS1nAxMwtHla+5Uxl2IiEihilaHuh2YDdxkRruYS8qonAtMrUwiIpI9oh7edwIfATebsW3MJWVMzgUmsBuwHpgZdyEiIrIpNO8FJgC3mtEp5pIyIhcDcwTwilYmERHJHu64O/8CXiSEZte4a0q3nApMrUwiIpLd3HkEeIIQmr3iriedciowCX1jZ7uzKO5CRESkeu48DTwA3GLGDnHXky65Fpgj0GQfEZGs584LwN+An5vRL+560iFnAtOMNsDewLi4axERkbq58zrwR2C0GbvFXU9j5UxgElYmmerOmrgLERGR1LgzAfgtcK0Ze8ZdT2PkUmAeilrhiYjkHHcmA7cCV5oxJO56GionAjO6pmdHYFLctYiISP258yGhafulZhwQdz0NkROBSViZ5G2tTCIikrvc+ZSwPNiFZhwadz31lSuBqeFYEZE84M4XwLXAt804Mu566iPrAzO6hqcd8GHctYiISOO5Mwe4GhhpxvFx15OqrA9MNq9MolZ4IiJ5wp35wFXAUWacGnc9qcjqwNTKJCIi+cudxYQjzeFmfCv6nZ+1sjowgd2BNe7MirsQERFJP3eWEUJzb+CCbA7NbA/MEejoUkQkr7mzijARaGfgYrPszKasLArAjObAAWhlEhGRvOfOWuB6oDvwUzOaxVzSVrI2MIEhwCx3lsRdiIiIZJ47ZcAYoA3ws+jAKWuYe3ZOPjXjamBS1PFeREQKRLT28RVAS+CW5KY1NsZaEYZvuwElQBmwEJjuo7wsY3VlY2Ca0ZawLMx3o8N0EREpINGQ7KVAJ+Amd0ptjHUBhgL7AsXABmBj9Hnz6PN3gIk+yhenvaYsDcyvA/u484u4axERkXhEk39+APThB7s/QNdpxwOVwCJCOCYrBroSTjc+6KN8WjrrydZzmGqFJyJS4NypBP7EgP+sYtHuf6G0/WpgHtWHJdH2ecAS4GwbYwPSWU/WBaYZXYAdgHfjrkVERJqemc0ysw1m1pnR1pmRpxVjFR/zB7uB0fyVL+hUx12UAQuA06Jh3LTIusAEhgNvulMedyEiIhKbmcAZwFCMSiofnUllaQUApV1ap3D7MsAhfetvZmNgjkDXXoqIFLp/YnybMMFnEZPYn+3Lwqm62Sceyf/a78uvuY4b+T23cCv3c+ymW97BxTzMoYRznfvaGCsxs6lmdmJjCsqqwDSjD9Aa+CjmUkREJF7jaUZnPqcbG6lgHkPZnwkAtP/oA1YfsS/DezzCtVzKMfyBWQznBQYD0J+3mcW+VM2gfZ5jgF7AM40pKKsCkzDZ51WtTCIiInTnFd5hd8YxgDbMpzcrAOj25gwGrfwvpeftz9IBndiTufTkHebQH4BDeJ9SuvEpXYFyvuBUYKy7b6j5wepW3Njnky5Rw93hhNW4RUSk0B3IGzzOCSynhH68vWl7RfMivlzai/f/vjtvzN8TByppTtdosmhrNtKdSUxkX/rxDss4HDimseVk0xHmQGClO7PjLkRERLLAbsyhDStYwh4MZwobWoeDvBnnncTEj4+lZ+k4flpxOddzKdslzX0ZxNvMYV8m0Q+j1N3fru4h6iObAnMEWplEREQ2W8gJPMs32vyBWacPZsKl5wDQ6/mXqFhXQdulC2jNRibRh3kM2+KWw/gCw3mDI9mWJ9JRTFYEphktgP2B1+OuRUREssRDDyxhwxG9Wf+jQ9nQti17PPAYAO1mLWco/+YDjuNG7uAtjqF7Ndfu78AE1tAV4w/pKCcrWuOZcSDwTXeui7sWERGJlxndgZOBgzj0usUMvbOM1ss+q/cdvcA3mUJ/X+u7p6OubJn0cygajhURKWhm7ACcAuwDPAdcyPCbWwCXsHlVktSsoR0fMpTm6etJHvsRphntgLvRyiQiIgXJjF2AkcAuwBPAc4l5EPWEPZvQ7q7u0HyDwbzC+bTgDcr4hrvX1Hu2fnVmQWAeCQxy55exFiIiIk0mupRwT+BUoAfwKPCCO+ur3T+E5umktlqJAWPTvVpJNgTmrcBj7lEHBxERyVtRUA4jBGUb4CHgNfcaVyDZfNvQSH0Im9fDLAcqgGZsXg9zAjAp79bDNKMrcDvwrVReLBERyU3RgtAHE4Zey4H/AOOjJbzqd19jrAToD3QBWgGlwGJguo/y1M9z1vdxYw7MU4HO7vw5tiJERCRjossGDyfMel1MOKKckostUGObJRsdlo+A9FwfIyIi2cOMVsCRwAnA58Bt7nwcb1WNE+dlJX2BlsAnMdYgIiJpFF35cCxwNPA+MMadL+KtKj3iDEytTCIikifM6Eg4mjwCeBu40p258VaVXk0SmDbGWgE7A92AEiqK19P3ueMpb/PT0BFPRERykRk9gJOAg4CXgUvcWRJvVZmR0Uk/0RTgoWyeArwB2MjiXXuxcNDe7DH2eeAdYGImpgCLiEhmmNGH0JVnb+BZ4Cl3VsZaVIZlLDBrvcj03QsOp/WSJez22EeEi0yLgAfTfZGpiIikVzVdeWbYXrEAACAASURBVJ51Z128VTWNjKxWYmNsAJO5llv4ETCPxLDc0LqY1T12pPfbM6Lt84AlwNlRyIqISBYxw8wYbMbNwM+AKcB57jxcKGEJdQSmmZ1f3zuMhmFPZwNLqW5Cz1f796Fk5ULaLUh8kcsIPQJPi24vIiIxi4JyP+A24PuEc5Tfc+cZdzbEW13Ty8Skn6FAJRU1vJiLd9uFzp98Ws13ygAntD16LgN1iYhICqKuPIcQhl7XE5oNvF3oVzXUGZhm1gH4J5sn7rwJXOjuX0Xf70j46+MbQCu6sZCLuANou8UdPcxhfG4j2NMW0Ov1N7mDi1lJP8Bpwzx+zG9oxiI+42grsqtx9gTmAle7+5PRY/0dWAv0IfwwpwFnuvvnjX8pREQKWzVdee4C3iv0oKySyhFmEXAvoVFuM+Ae4I+E620ghOkaYHcuoy8z+AnJXeT/xdHMYzCHH/oUXt6Bl0oPpRXL+T6XATCZvhjOepxHOJPO3M9ivkaYpvyEmQ1x96qj0tOBbwKTgfuAm6NtIiLSAFFXnm8Cx5MnXXkyoc5JP+6+1N0fcfd17r6aEFDDAcysB+FFvtDdl9OOTuzNlqti38tIFjCA8/gtZUN2ou2CBRRRQRnb8iUdaUkF+/MZRYTgrKA53+dJd9/g7i8DTwNnJNzjY+7+TrS+2b+AwWl5JURECowZ7cw4i7AmcT9CV54bFZbVS2VItjXwO0JPwA7R5nZm1gzYDljm7suj7SUkHl1W0Jo5HMxB3EVHSun64VQWDN6HHjs1p/TxEh6ZfQVs3Egff50zeJ4VtKeElRRTklDCl0CvhK8XJHy+juShXxERqZUZnQijhF8D3gKucGdevFVlv1SGZC8jXG+zr7svMLPBhCnFBswBOppZe3dfQZi4s/k+m7GOEfyNV/gebbiTfZ+dRv9np7G8z7b03nN7Vn5zexaW7cTUfx7DU3uV0GbefMpmt2fjFitqbw9MT9cTFhEpVEldeV4ij7vyZEIq12G2I6w1tiKa4DOq6hvuPp8wo/XPZtaB1SxlCjttcesDmc4h/I0XuIhJ9AFgyqztKXpyAUP/+AwD7/0XVr4eKzKandyXotYt+MPhY8yWH2029ARCE98H0/JsRUQKkBl9zLiCMEFzJXChO3crLOunriNMJyzw/G9Cc4F5hBf8hIR9ziEM2X7CbbSgOwvYi/Fb3MshfMxG7uN5LqYZd7CEroznDDbSjmYV6+jDyxzz1jPwVjFdWn/BQ1OGQfeHoet6+N2bcOkhoQN+cbPk+UQiIlK9qCvPqYRe3k8CfyqkRgPpVmtrPDM7wd0fr9cdjrGjgGHQoPHwnsAEH+XPhcfHgB0JvQr3JpyU/pQwQ3Yy8KWmO4uIbBb93hxEuIayO/AI8GIhNhpIt7qOMKc04D4nAvsRJgCV1bFvohLCedFJVRuiMPw8+njIjNbAQEJ4Xgu0MGMKITzfc2dVA+oVEcl5UVDuRwjKVoRmA6+7a1guXTLSfD3qCXs2YUZrKqFZQvhL6P76NGCPTmBXHX3uQWh0UHX0OV1vFBHJd2YUAwejrjwZF89qJZsVE1YrMWBsY1Yrid40u7E5QLsBU4kC1J1FDb1vEZFsE3Xl+RqhK89CQlCqK08GNcV6mEPY3FavHKggdAxqTgjRCcCkdK+HaUZ7YC9CeO5F6EY0mTDM/IF7vYaLRUSyQjVdeR5So4GmkdHA3PQgY6wE6A90IYytlxL6FE73UZ7x4NLkIRHJdWZsQ7jM7ijgPeBhd2bGW1VhaZLAzDbRX2h7sjlAW4AmD4lI9om68pxIaIr+FvCIuvLEoyADM5kmD4lItol+L50MHEjoyvO4Gg3ES4GZRJOHRCROZvQhzHjdC3gGeEqjXtlBgVkHTR4SkaZgxq6Erjz9gCeA59SVJ7soMOtBk4dEJJ0SuvKcShjNUleeLKbAbISkyUN7AS3R5CERqUNSV54SwjWUb2i+RHZTYKaRJg+JSG2SuvKUEYJyvEamcoMCM0M0eUhEqlTTlec/wPsKytyiwGwimjwkUniiBSOquvJ8hrry5DQFZgw0eUgkvyV05Tma8EfxQ+7MirUoaTQFZhbQ5CGR/JDUledNQlee+fFWJemiwMxCmjwkklui/7OnAAcQuvI85s7SeKuSdFNgZjlNHhLJXurKU1gUmDlGk4dE4pfUledx4Hl15cl/CswcpslDIk0n+v82mHBEqa48BUiBmUc0eUgk/aKg3J8QlC1RV56CpcDMY5o8JNJw0fyBQwiTecoIzQYmaNSmcCkwC4QmD4mkJqkrzwLCEaW68ogCs1AlTB6qmkCkyUNS0KKuPEcBxwEzCM0GPom3KskmCkzR5CEpaFFXnuMIYTkZeFhdeaQ6CkzZiiYPSSEwozNwAqErzzjgUXXlkdooMKVO0eShqqHbgWjykOQwM3oSzk8eALwIPK6uPJIKBabUiyYPSa4yoy/h0pBBwLPAk+6sjrcqySUKTGkUTR6SbGfGboSg3InNXXlK461KcpECU9ImmjzUlxCc+6DJQxKThK48pwJdgYeBl9SVRxpDgSkZo8lD0tRq6MrzujsVsRYmeUGBKU1Gk4ckU6Jz68MJXXlKUVceyQAFpsRCk4ckHaKuPEcAJxG68vwHmKqglExQYEpW0OQhqY+krjzTCV15Po23Ksl3CkzJOpo8JDUxY1vgWNSVR2KgwJSsp8lDEnXlORE4DHXlkZgoMCXnaPJQ4Yi68pxCmPn6AqErz7J4q5JCpcCUnKbJQ/kpqSvPM8BT6sojcVNgSl7R5KHcpq48ks0UmJK3kiYP7Q3sjCYPZZ3o57QXISi7ELryvKyuPJJtFJhSMDR5KLskdOU5FWhO6MrzhrrySLZSYErB0uSheCR15VlHaDbwjo72JdspMEXY9Et8VzZf+6nJQ2kWdeX5OqErz3zUlUdyjAJTpBqaPJQ+ZrQBvgkcTziHrK48kpMUmCJ10OShhom68hxHCMt3CV15voy3KpGGU2CK1FM0eWggYehWk4eSVNOV5xF3FsRblUjjKTBFGqmGyUNTCEdVBTN5yIxewMmoK4/kKQWmSBolTR7aG+hOnk8eMmNHwjWUewJPA0+rK4/kIwWmSAbl8+ShqCvPqcCOqCuPFAAFpkgTiXvykI2xVtFjdgNKgDJgITDdR3lKwZ3Ulacz8AjqyiMFQoEpEpOmmjxkY6wLMBTYFygGNgAbo8+bR5+/A0z0Ub64hlqL2NyVp5hwDeU4deWRQqLAFMkSmZg8ZGNsAHA6UAksgmrvoxjoChQBD/oon5ZQU1VXnpHAWtSVRwqYAlMkC6Vj8lAUlucQuuqkMuRaEj3O/Yz2z9jclWceISg/cMfN7BpgR3c/v95PTCSHKTBFckCYPNTqEyhqA189DR1WApNh+PYw7hD3ikO22D8Mw14CLCG1sAzK2m3Dgr325bH7nJV93id05ZmezucikquK4i5AROrmzgooK4N1G6DTB8CvgGUwZC/YY1czfm7GSWb0iSbmDCUMw6YWlms7t2Lqmfsy/icjKdt2G04+62l3blZYimxWHHcBIlIvvwa/EuzP7v6w2W/bQ1E74Ek4+FaYNgzWteC2NqUM2u55Dli8jNZLyyilmAc4ifkMAaAHkziDRynvWcJr/Y5k6rsj6P3eh8x5YGfMKzmE5dbaVlLKrwmzYX/j7rcAmNlooJ+7nx3XiyASBwWmSG6ZBLwKXA5cFzZVVrrzjtm4e4CRnPz1vfj0/V8zfubx2GU7UbJhOZ8+0pllcztzbuXNNNtYwb+Kf8S/d/whO52+Bnt5OeVrm1E8bQ5XcBfPsT+vczIt2IYwg3d7YJKZPeDuM+N52iLx05CsSO65AbjEzLokbnT3+919KQP/Z5yy8HF8fQWdfvkcfV59k4Xzd6LPEUuYcc2pfHHZkWx3fBkLZ23PsD/eT4dxH2JUcBrP0pIKRjCRclqzD8+4+2p3/wiYBgyK5dmKZAkdYYrkGHf/0MyeBq4CPq7abmaXA+dRxPYYRVTQktUVbRg86RM2UMKuzzxO3wkrePeCU9hu+mt8vOE8Wi9bD0AxaymOLhVpQzkA3bfo2lMKtG2aZyiSnXSEKZKbRgEXAL0AzOxg4ErgVK7hRK7nVpolBF4LVrCYTrRZUkrHz6axeJsdac6KWh9hY+627RPJBAWmSA5y98+AscCPok3tCE0JFrOGJTzMYVTQatMNejGRyRzNAtrSfPJips8YRm8m1Poga7XSiEgiDcmK5K4bCY0JAP4LPA9M53bWMogPacnyTXuewjM8QAl/4wb4HDoNXMcRLcfBnOruN/xemIIm+IgkUOMCkTxkY+woYBihS8/W3j3/MNosXsKuT0yt5rs9gQk+yp/LYIkiOUdDsiL5aSLh/3dJtd/t8PmXrNh+h2q+UwIY4fIVEUmgwBTJQ9GqIw8SesNuHZo9J8+htGMPNrROPC1T1Ut2bE2rlogUMgWmSJ6KVh25n9CppyeJcxZKVm6gZNVi5u/VK9reE+gE3J+4WomIbKZzmCJ5LmrEPoTN62GWAxXMHD6Qihbt6PfCO8AEYJKOLEVqpsAUKRA2xkqA/kAXoBUzR2zDG1efzAnfPctv+0rXXIrUQYEpUqCiVU3uBa51Z27c9YhkO53DFClQ7jhhNuyQuGsRyQUKTJHCpsAUSZECU6SwvQ/salbD9ZoisokCU6SAuVMKTEdLd4nUSYEpIhqWFUmBAlNEJgH7RLNmRaQGCkwR+QpwYLu4CxHJZgpMkQKny0tEUqPAFBFQYIrUSYEpIgAfAP3MaB13ISLZSoEpIrhTBnwCDI67FpFspcAUkSoalhWphQJTRKro8hKRWigwRQQAd+YB64E+MZcikpUUmCKSSMOyIjVQYIpIondRYIpUS4EpIok+APqa0TbuQkSyjQJTRDZxZwPwEbq8RGQrCkwRSabzmCLVUGCKSLJ30eUlIltRYIrIFtxZAKwFdoq7FpFsosAUkepoWFYkiQJTRKqjwBRJosAUkep8BGxnxjZxFyKSLRSYIrIVd8oJ12TuFXctItlCgSkiNdGwrEgCBaaI1ORdYG8z/Z4QAQWmiNTAncXACmDnuGsRyQYKTBGpjYZlRSIKTBGpzSRgn7iLEMkGCkwRqc3HQE8z2sddiEjcFJgiUiN3NgLvA3vHXYtI3BSYIlIXnccUQYEpInV7FxhsRrO4CxGJkwJTRGrlzjJgCdA/7lpE4qTAFJFUaFhWCp4CU0RSocCUgqfAFJFUfAp0NaNj3IWIxEWBKSJ1cqcCeA81MZACpsAUkVRpWFYKmgJTRFL1LjDIjOK4CxGJgwJTRFLizgpgHrBr3LWIxEGBKSL18S4alpUCpcAUkfrQeUwpWApMEamPGUAHMzrHXYhIU1NgikjK3KkEpqCjTClACkwRqS8Ny0pBUmCKSH1NBgaa0TzuQkSakgJTROrFnVXAHGBA3LWINCUFpog0hIZlpeAoMEWkIXQ9phQcBaaINMRnQDszusVdiEhTUWCKSL2544SjTK1eIgVDgSkiDaXzmFJQFJgi0lBTgD3MaBF3ISJNQYEpIg3izhpgJrBH3LWINAUFpog0hmbLSsFQYIpIY+g8phQMBaaINMZMoKUZPeMuRCTTFJgi0mC6vEQKiQJTRBpLw7JSEBSYItJY7wO7mdEy7kJEMkmBKSKN4s5aQqu8PeOuRSSTFJgikg66vETyngJTRNJhEjDEDIu7EJFMUWCKSDrMJvw+6RV3ISKZosAUkUaLLi/RbFnJawpMEUkXBabkNQWmiKTL+8AuZpTEXYhIJigwRSQt3CkDPgEGxV2LSCYoMEUknXR5ieQtBaaIpJMuL5G8pcAUkXSaC1QA28ddiEi6KTBFJG0SVi/RsKzkHQWmiKSbLi+RvKTAFJF0mwrsZEabuAsRSScFpoiklTvrgWno8hLJMwpMEckEnceUvKPAFJFMmATso8tLJJ8oMEUk7dyZD5QBfeOuRSRdFJgikikalpW8osAUkUzR5SWSVxSYIpIpHwJ9zGgbdyEi6aDAFJGMcGcDITT3irsWkXRQYIpIJmlYVvKGAlNEMulddHmJ5AkFpohkjDsLgVVAv7hrEWksBaaIZNokYJ+4ixBpLAWmiGSarseUvFAcdwEikvem0WJVH7vokP3p/n5boITQBWghMN1HeVm85Ymkxtw97hpEJE/ZGOsCDGXaiZfR8Yt5dH//M2Aj4Y/15tHn7wATfZQvjrFUkTppSFZEMsLG2ADgEmAYxaUf89V+JcB8YHH072xgETAMuCTaXyRrKTBFJO2i8DsHWALMo/vUL1jTbXsqi5IvL9kIzIv2O7uu0DSzc81sXEaKFqmDAlNEUmJms8zsawlfn25my81s+Bb7hWHY02HTiiWwzbw1FJetZdHArjXcfRmwADgtur1I1lFgiki9mdm3gT8BR7v7a0nfHgpUUhWWVbaZ+yWLB+xQy92WAY5m1EqW0qQfEUmJmc0Czgd2Am4GjnT3SdH3HgIOBlrRgRUcwT8YwBwA/sK5FLOBNSW9WLWxL202zuJ0/sJ/OZK57E9zVnEkdzOYOUAxj3ISU9kR6ALMAa5198eixzkXON/dD2raZy+iI0wRqZ+LgBuBw6vCMvIcsDM/4jA6sZCnOXeLWy1gHw4uf4gDr3iPoqJK/sFVdGU2V/NTejKZVxgZ7bmRTqzkOC4AtgXGAPebWY/MPzWR2ikwRaQ+jgDGAx8kbnT3e9x9NR3pyDG8xDp6s4xWm3boynvsUzGLNmsX0LXfYooo5xjGU4yzF5NYw/ab9h3OVPYGd69097HADMJMWpFYqXGBiNTHRcB1wN1mdp67u5k1IwzRjqSIHlQ1Wl9KWzpSCkAJq1g4sCulHbtTuUMnipc0Y21RK9osKaUlG6ig5aZH+B8Dmcy3bbR1jLa0BTo34XMUqZaOMEWkPhYChxPOV/452nYmcDzwNa7jeC7hdiBM36nibVrxyfHH0PflF2j7yptQWcmki85gxpG7bnHvM+nI25zA3vwe6OTu7Qlramq1E4mdAlNE6sXd5xFC80gz+x3QDlgPLGUBq3iSr295g5bN2bDbzvQe/wZ9Xp9J0cZKilasZLdHnmTRHgOZedbm/dfREgOa8wWAmX0H2KOJnppIrRSYIlJv7j4bOAw4BdgZ+BKYy//xED2YvWnHldu1o2KH7Wk2dx47vThjizvpOm0J+//2YdrMng1WxAenD6N/y2X05y1e4z7C0exA4M2mel4itdFlJSKSVjbGjgKGsbr7Ct77zkl0mTaVXZ+YWuuNVvVsyycnHkzz1dvRavnf/IEn72yaakVSp8AUkbSyMdaF9W0vY8p3D6Dt/I/Z46F3U7xpCQv3GMQDT7ZiRd93gL+5szqTtYrUh4ZkRSS9Rvs6HnysB93fW8EeD32U4q1KgO50+/A2VvQ9D1gL/NmMw8w04Ueyg44wRSRtzCghNDb4jBuKx1FUcTqhTd4iQqP1ZMVAV8Is2LE+yqcl3NfOwMXAGuBP7szLdP0itVFgikhamNECuJ6w8sgd7njUSH0IsC8hHMuBCqAZm9fDnABMqm49TDOaAccApwFPAo+4U94ET0dkKwpMEWk0M4qBqwmXl/zGncotvj/GSoD+hP6wrYBSwrqY032Ul1EHM7oAFwI9CEebqQ71iqSNAlNEGsWMIuByoCXwC/dqh17T8TgG7A98D5gM3KtJQdKUFJgi0mBRiF1COA95ozsbmuAxWxMWpz4QuAd4zR39IpOMU2CKSINEYXkB0A+4wZ06h1bT/Pj9CZOCVgJ/dmd+Uz6+FB4Fpog0iBnnAPsA17qzNqYaioFjgZHAY8BjmRoSFlFgiki9mTESOBS4yp1VWVBPV+AHhElFf3Tn45hLkjykwBSRejHjWMJR3VXuLIu7nirREPGBhGHid4D73FkTb1WSTxSYIpIyM44AziCE5aK466mOGW2AbwH7AXcD4zQpSNJBgSkiKTHjYOB84Bp35sZdT13M2JUwKWgJcKc7C2MuSXKcAlNE6mTGMMLlI9e7MyvmclIWTQo6ATgJeAR4QpOCpKEUmCJSKzMGExoTjHFnRl37ZyMzuhMmBXUgTAr6NOaSJAcpMEWkRmbsBlxL6OCT0+3ooklBBwPnAeOBf8R1OYzkJgWmiFTLjJ2AMcBt7kyJu550MaMtcC4wFPg/4C1NCpJUKDBFZCtmbA/cTGh0Pj7uejLBjAGESUELgL9k66xfyR4KTBHZghk9gF8Qmpu/Fnc9mRRNCjqJMDHoIeBJdyrirUqylQJTRDaJltG6FRjrzv/irqepRH8k/BBoR5gUlJOTmySzFJgiAoAZHQhh+aw7T8RdT1OLJgWNAL4LvAHc7866WIuSrKLAFBHMaEcYhn3DnbFx1xOn6LX4DrAX8H/uvB1zSZIlFJgiBS5aX/LnwPuESy30SwEwYw/CMO1cwqSgJTGXJDFTYIoUMDNKCJeOzAT+qrDckhnNgZOB44CxwFPuVMZblcRFgSlSoKIwuAFYCvxeYVkzM3oROgW1Jlxq81nMJUkMFJgiBSi6nOIqoBz4jS6lqFs0KegwwvnNVwmTgspiLUqalAJTpMCYUQT8lHC0dIuakdePGdsQZtLuSRjGnhBzSdJEFJgiBSQ6SroY6E5opr4h5pJylhl7EiYFzSLMpl0ab0WSaQpMkQIRheV5wC6EZbo0nNhIZrQARgJHAw8Az2hSUP5SYIoUCDPOAoYRFoDWKh1pZMZ2hElBLQmdgr6IuSTJAAWmSAEw4xTChJWr3VkZdz35KDqC/xrwbeBl4N86is8vCkyRPGfG0YTm4lfpPFvmmbEtYeh7d+BOdybFXJKkiQJTJI+ZcThwNvAzLV/VtMwYTBim/Ry4y51lMZckjaTAFMlTZhwEXEA4Zzk37noKUTQp6DTgSOBfwHNqEJG7FJgieciMocCPgevcmRVzOQUvWpD7YqCIMCloVrwVSUMoMEXyTHR94JXAje5Mj7seCaJJQV8HzgFeAB50Z328VUl9KDBF8ogZuwLXAbe682Hc9cjWonVHzydcD3unO+/GXJKkSIEpkifM2BG4EfidfglnPzP2Bi4CpgN3u7M85pKkDgpMkTwQXTh/M+GIRQse5wgzWgKnA0cA9wP/1aSg7KXAFMlxZvQAbiEs/vxK3PVI/ZnRhzApqJIwKWh2vBVJdRSYIjnMjM7AL4GH3Hk+7nqk4aJJQd8EzgKeB8aqOX52UWCK5Cgz2gO3As+783jc9Uh6mNGRcP3sTsCf3Xkv5pIkosAUyUFmtCMMw77pzoNx1yPpZ8YQwqSgj4C/qQdw/BSYIjnGjNbATYRfpPdqkkj+MqMEOAM4HLgPeFE/7/goMEVySDSrcjQwhzAjVv+BC0B0ydAPgXLgT+7MibmkgqTAFMkRZjQnNCVYSbjWUv95C4gZRcBRhCPOZwkTvTQpqAkpMEVygBnNgJ8BDvzKnYqYS5KYmNEJ+B7Qh3C0OTXeigqHAlMky0WXG/wUaAf83J2NMZckWcCMYcCFwFTgHndWxVxS3lNgimSxKCx/APQCRmsIThJFk4LOBkYA9wIva6g+cxSYIlkqCsvvArsB17tTGnNJkqXM2InQKaiUMEyr9U8zQIEpkqXMOBPYj7AA9Jq465HsFk0KOobQm/ZJ4BF3yuOtKr8oMEWykBknEdZO/JkuWJf6iNolXgj0JvSl1TJvaaLAFMkyZhwFnEQIy6Vx1yO5yYz9gO8DUwgNLlbHXFLOU2CKZBEzDgPOAa5yZ2Hc9Uhui7pCnQ0cDNwDvKpJQQ2nwBTJEmYcQDgiuNadr+KuR/KHGTsTJgWtJjR0nxdzSTlJgSmSBaJG25cCN7jzRdz1SP6Jml8cC5wKPA48qmt660eBKRIzMwYSuvjc5M6ncdcj+c2MroRJQd0Jk4KmxVxSzlBgisTIjF2A64FfuvNB3PVIYYiu8d2f0GJvEvB3XbpUNwWmSEyiFShuBG53Z1Lc9UjhMaMNYZLZ/sDfgDc0KahmCkyRGJjRm/9v786DqyrPOI5/n5sFYhCQLSgI7hVlVASkWrBg0TKtiqIialvFrXasVcdxp0JcW2zH2kXFtSq2QBEdLQqjVoqAAloXcCvugCBBpYhZIMnTP94TCTGBQ7jJyb35fWYyubn33NwnM0l+933Pe54XbgImubMg6XqkdYtmOn4JfEHYNm51wiW1SApMkWZmRnfgFuBhd/6VdD0iAGbkAscDJwMzgMe1KGhLCkyRZhR1YfkNYYXiU0nXI1KXGUXAL4AuhEVB7yRcUouhwBRpJmZ0AH4LzHbnsaTrEWlItCjoe8B5wELgQXe+Traq5CkwRZqBGe2Am4GF7jySdD0icUSLgs4EBgH3APNb86IgBaZIEzOjALgBeJuw0a/+6CSjmNGHsChoDWFR0JqES0qEAlOkCZmRD0wAVhJakukPTjJStCjoBMLGAP8Anmxti4IUmCJNJPoHMw5YD9ymsJRsYMauhEVBHQmbVbea7lQKTJEmEPXtvAIwQhefqoRLEkmbaFHQkcA5wALgIXdKk62q6SkwRdIs+mdyKdABuFG73ku2MmNnwqKgAcDdwIvZPJOiwBRJoygsLwB6ARPcqUi4JJEmZ8aBwIXAKuAud0oSLqlJKDBF0iQKy7FAX2Bca5iiEqkRnbM/CRgJTAX+mW2nIhSYImlixhjCxd7XuPNV0vWIJMGM3QijzUJCp6D3Ei4pbRSYImlgxgnACOAqd9YlXY9IkqLZlqHA2cBcYLI7ZYkWlQYKTJEdZMYI4BTgSnfWJl2PSEsRLQoaC/QjnNtcuM3nFFsBsC9QBLQFyoHPgP/6eC9vwnK3SYEpsgPMGEZYJXi1O6uSrkekJTKjL6FT0HLClnbfemNpxdYVGEhow5cLbAQqo9t50e1FwGIf74ksKlJgijSSGYcTLuC+1p3lSdcj0pKZkUfYOuxYYAow051qACu2A4AxQDWh/V59HYRygW5ACpji4/2t5qi7mVO0qQAACH9JREFUNgWmSCOY0Z9wreV17nyQdD0imcKMHoRFQW2hVw47Ld+LK1jKx5TzIFdzDReTu9VrOdsC3YHJzR2aqeZ8MZFsEE0vXUpoSqCwFNkKMzvLzJaYWamZrQYbBx0mAjPJHzycjp0PYWNBCb1ZxXX8ahthCeGc5mrg1Ggat9koMEW2gxn7AVcBE7WxrsjWmdllhD1gLyd0vvou0BvWPwP2Al1nvImnUrx06Sg+Htx7O751OeCEDkPbqiG3MbXXR4EpEpMZewC/Bm53542EyxFp0cysPVAMXOTus9x9k7t/BIwG9iCfsXSo6IaXrGSvZ5/j7f2HM4FJfFHUjqcZwK1cs8U3nMYP+BMXAlBGLn9lMLcwxcw+M7O7zKwget2hZrbCzK4MI1oeSNfPpMAUiSE671JMWOG3OOl6RDLAEYTzjTNq3+nuG4CnyGMkRgqnmp6LVrL3g08A8No5p9JjRBVldOddun3zxE8YxD7RZSl/ZxRf0ZULuIezGQn0AK6r9TLdgU5Ab+D8dP1ACkyRbTCjCLiRsCPDvKTrEckQXYC17l7fitdVQBE1rfM2FuZS2a4NAL3mzWFdv77ssu9XLCocAsC7dKOU7gzhDaqBFQxhBNPYha/oRSFwM2GVbY1qYLy7V7h72hompG1uVyQbmdGJEJbT3Xku6XpEkhT1iy0gjBxrPgrquV0A4/rBTV3Nyi6DgvwtHz9qBDmrO1CWB5UV+cwfcw5ln6XgTvh04GHkVpRS1HctH7x/CPAoizmMrrxGOzayip2pJp8pXIthVFMFVAE5tUotcU9/kwMFpkgDzML2XMBsd2YmXY9IXFFrujZsEWDf+rqhsKsn/L65LwWURR/ltT7X3K7YfN/pr8Mtm+CsDjB19uZjnknBnNPputNU8kv7UlrdlmET7uMDOrOIQzj891PJo5oKcriVibxOT1YwkEFMA6AbG0ixkTOZQC8KgHk+3uu+mW2S6yUVmNLqxGm9ZUYhcD2wwJ3pSdUq2a+eUdu2givOCK8NoVNO7VCr/bmiztdrYx5bGX+/yz6YVXWHaZfBtAWELj09gDuAT/jxhvt5jttoKNzaUEURr/A8J1NJIYN5G4AcnB7M40lGcypz6UKJmfUA+rr77Hi1NY4CU1qNOK23rNgW8cFRb8BzlwBLgEeSqldalh0ctTV07HaO2thACLe6x9Q9tqKmi06S3H2imX0O/A7YG1gPPA6cQSfKcaqxrayl6csiZnM5PZlDXq2f5zQe5VGO5z7GUsa5wErgTqBJA1OdfqRViN16qzKvO++OHMaS0+byzqhx2bx7fDbbwVFbQ8dua9RWzrdDLM6x2zFqyy5WbD8CDgM+bcTTdwMW+nh/Or1VNUwjTMk6ZjYHmOzu98I3YflTwsq8hhcCVOVV88rPD6bN+rWMPjlFyvtA8/erbE0aGLVt6zxaOkZttQMro0ZtWWYxoZlBzamRuNoCBrzcFEU1RCNMyThmdgYwqZ6HCoHxwFFEgRlNw17E5nM09avKNf5z3jFUp3IYcPcscjblA52BPye1M0JLo1GbNIXoDe1PCO3u4oRmYr1kNcKUjOPuj1Dn3KKZnUtY0XoPITBrDCRMwzb8h+gGr409iqq8NgyYNJOcTTXH17TearYpn3RIw6itoQUlRsMhtb2jtpr7NGpr5Xy8v2XFNpn4u5UYCYQlaIQpWcDM+gEvAMe6+5xoSvYFjOGkOJT2vM8Y7qWIDQAsZk/mMppSdqUNn9Pn++/Q+dAqBkx6gr+UXkwXlrGG/fmannRiJe050t/3ldFr/Qy4AWgH/AE4BzjX3Z9tXO0atYnAN4vyBrB5Ud4mNl9fWbMf5kLg5aRmfTTClIxmZh2B6cAN7j6n1kOn830uYRCDuYsTmMXRnMljfEJHZnERg7mfIbzJU4eP4rUXh3HWK9eRXxre1a7gMEbxR3ryJfdxBV9yvRnnwj4HA3fAkDPg7nfgh1fB8h4w9gAzHI3aRBotCsGnrdieB/YDuhL+VsqAEmpd9pUUBaZkLDMz4CFgKTCxzsMPMJRyoJTevMxyDgZgAYPowlKGsZQ3T+nPTv160W7Z58zf80T2GriS6mldKNr9C0qGD2NNbh5Fz+bw0boTga5w9N6w+1p4/lhgOLz6JXRLwUEHEd4F1w6xrV3XplGbSAOiUGyRmxsoMCWTXQkcCPT3b59bWE0YwVWSx0YqCX0qN9CZNfTnBg6C6QYzUnh1ii5t3qPL28uwDf1pv+It9pu5kLzSTWxYNQTbuA8wEu66E1jvzhXhJTphVnUaXDLF/eJGTcmKSOZQYEpGMrOhwLXAke6+roHDyqn7O17IF+zKS5zPw2FNT1X0wMrwYZSTV/4/upWsBSBFFU6VO27GKuA7tWooIKykFZFWQLuVSMYxs12BKcAl7v7qVg79DMjf4p7DWUgJB/FvDqASo5Rc5rMfH9Ox3u+QIocqNkVfTQeOM7MjzCwfmEA4BykirYBGmJKJziP0gb3dzG6v89jkWreXAZVYrV0M9uBLjuEOXuAk5nIeRjXt+ZAe/K2e18nFqWYTZQDu/qaZXUQI60LCKtk1hAvbRSTL6bISyWpN2XrLzNoB64B93f3DxlcpIplAU7KS7RYTfs/bbufz6m29ZWbHmdlOZlZIaCi9BPgoDXWKSAunwJSsFl3bNYXQSituaNa03ppazwXSIwmj1U8JW4SNqWeFrohkIU3JSqsQe7eSza23pibRektEWi4FprQamdB6S0RaLgWmtDpWbG1poa23RKTlUmCKiIjEoEU/IiIiMSgwRUREYlBgioiIxKDAFBERiUGBKSIiEoMCU0REJAYFpoiISAwKTBERkRgUmCIiIjEoMEVERGJQYIqIiMSgwBQREYlBgSkiIhKDAlNERCQGBaaIiEgMCkwREZEY/g96Piy9ndPA0AAAAABJRU5ErkJggg==\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Graph plot in default pygraphviz layout\n", "\n", "pos=graphviz_layout(G)\n", "plt.figure(figsize=(8,8));\n", "nodes = nx.draw_networkx_nodes(G, pos, node_color=\"g\", alpha=0.4)\n", "nx.draw_networkx_edges(G, pos,edge_color=\"b\", alpha=0.7)\n", "nx.draw_networkx_labels(G, pos)\n", "plt.axis('off');\n", "plt.title(name+\" (graph from image)\",fontsize=15);" ] }, { "cell_type": "code", "execution_count": 6, "id": "rotary-catholic", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Sonia (50.273, 286.73)\n", "Eshan (128.09, 296.99)\n", "Jackson (38.347, 208.51)\n", "May (160.32, 224.57)\n", "Naomi (106.3, 164.2)\n", "Kamal (115.75, 87.154)\n", "Zheng (87.707, 18.0)\n", "Oliver (157.58, 25.629)\n" ] } ], "source": [ "# Positions of nodes in the layout pos=graphviz_layout(G)\n", "\n", "for k,v in pos.items():\n", " print(k,v)" ] }, { "cell_type": "code", "execution_count": 7, "id": "tender-attitude", "metadata": {}, "outputs": [], "source": [ "new_pos={}\n", "xa=1.4\n", "ya=0.5\n", "new_pos[\"Eshan\"]=(0,0)\n", "new_pos[\"May\"]=(xa*1.3,-ya*0.1)\n", "new_pos[\"Sonia\"]=(xa*0.1,ya*0.8)\n", "new_pos[\"Jackson\"]=(xa*0.5,ya*0.4)\n", "new_pos[\"Naomi\"]=(xa*0.9,ya*0.6)\n", "new_pos[\"Zheng\"]=(xa*1.3,ya*1.0)\n", "new_pos[\"Oliver\"]=(xa*2,ya*0.1)\n", "new_pos[\"Kamal\"]=(xa*2.1,ya*0.9)" ] }, { "cell_type": "code", "execution_count": 8, "id": "oriented-butler", "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Graph plot in the layout of the image\n", "\n", "pos=new_pos\n", "plt.figure(figsize=(5,5));\n", "nodes = nx.draw_networkx_nodes(G, pos, node_color=\"g\", alpha=0.4)\n", "nx.draw_networkx_edges(G, pos,edge_color=\"b\", alpha=0.7)\n", "nx.draw_networkx_labels(G, pos)\n", "plt.axis('off');\n", "plt.title(name+\" (with the image layout)\",fontsize=15);\n", "\n", "display(Image('graph0.png')) #, width=1900, unconfined=True))" ] }, { "cell_type": "markdown", "id": "appropriate-error", "metadata": {}, "source": [ "### Exercise 1" ] }, { "cell_type": "markdown", "id": "studied-manual", "metadata": {}, "source": [ "Construct the graph and plot in in the same layout with the image corresponding to the following 4 images (Example 2, Example 3, Example 4, Example 5): \n", "\n", "Jack_g.png, Lawrence_g.jpg, Olivia_g.jpg, Zekai_g.png" ] }, { "cell_type": "markdown", "id": "assured-found", "metadata": {}, "source": [ "
" ] }, { "cell_type": "markdown", "id": "theoretical-kazakhstan", "metadata": {}, "source": [ "\n", "## 2. NetworkX Graph Generators" ] }, { "cell_type": "markdown", "id": "western-karaoke", "metadata": {}, "source": [ "**NetworkX Documentation**: https://networkx.org/documentation/stable//index.html" ] }, { "cell_type": "markdown", "id": "boolean-fancy", "metadata": {}, "source": [ "**NetworkX Graph Generators**: https://networkx.org/documentation/stable//reference/generators.html" ] }, { "cell_type": "markdown", "id": "differential-witness", "metadata": {}, "source": [ "\n", "## 3. Saving a Graph (as a file)" ] }, { "cell_type": "code", "execution_count": 9, "id": "weighted-flash", "metadata": {}, "outputs": [], "source": [ "# Saving (gpickeling) the previous graph G\n", "\n", "nx.write_gpickle(G, \"Graph_\"+name.replace(\" \",\"\")+\"_from_image.gpkl\")" ] }, { "cell_type": "code", "execution_count": 10, "id": "aging-substance", "metadata": {}, "outputs": [], "source": [ "# Reading a saved (gpickeled) graph\n", "\n", "G1 = nx.read_gpickle(\"Graph_\"+name.replace(\" \",\"\")+\"_from_image.gpkl\")" ] }, { "cell_type": "code", "execution_count": 11, "id": "lonely-detection", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "The Example 1 graph is an undirected graph\n", "The Example 1 graph has 8 nodes and 9 edges.\n", "The nodes are:\n", " Eshan, Jackson, Kamal, May, Naomi, Oliver, Sonia, Zheng.\n", "The edges are:\n", " (Eshan, May), (Jackson, Naomi), (Kamal, Oliver), (Kamal, Zheng), (May, Naomi), (Naomi, Kamal), (Sonia, Eshan), (Sonia, Jackson), (Zheng, Oliver).\n" ] } ], "source": [ "gne(G1,name)" ] }, { "cell_type": "code", "execution_count": 12, "id": "comic-battle", "metadata": {}, "outputs": [ { "data": { "image/png": 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1xukHRhKxlAAj0kiBnAwMwGVqJ2b+UT1ZMuAQDr/vf0i557kTMFmH6uiExxYEXtkTzpkBY26HH7UBuvtzzQRmALOAhaqUJueKjKowS8mIOlOBQ9lVDWB3uo+bx6LDD2fpIZ3pPHWJX5qPc8umxW8uIqcC7/v1NwFfwQl/VlUVIRfoCfQG9gN+DLQSYQ5OSc30nzWqNmqXCsxSMiKPn8N2AW7qSGLFNPOUvqzbYw8GPjQKp5A6AM8lmpQrIk/gUgPKlNb/qeqMCs8vNMGVSumNC5L3xg3tzWKXopqlytbaXqOxC1NKRlpQZZWAovz6fPKri+j37CSaLdsIvJSqKgF+FK8t5ZXUHsAqdllSM4AFqhVOHjYqwJSSkTb4ybWHsKueUhHOYqkP5DLv6D7MOX4tg2+/Peh6SiLkAN1wCqrs0wGYR3m3b4W5fZVjSslIO6RA8nEvfVugIVAIrOL1x5fy+eUPAb9QJfSESBEaAnvhrKle/t9cdimomcBMVTaFJmQEMaVkZBQiXAnsUOXfYcuSCBFaU96a2gvYQHm3b54qO0ITMmRMKRkZhQjtcDP/L0+HwLMI9XATgstiU33894WUD6QviYLbF0R9dFNKRsYhwm+A2aqMCFuW2iBCA1zgvMya6oNL/pxFjEWlyu5Tc1IlU4D10U0pGRmHCHsCtwNXZMrolwjNKe/29cbF0mKTPGenIhs96ProppSMjESEPwLvqfJh2LKkAp+W0JHySqoHbsJx7GhfnbLRY+qjV7cccaU5YtU6pyklIxMR4WDgYuCXUYjFBIFPSyjLRi+LUbUC5lAukC7TiKm0KSLnAv8EzlDVj3Yez7ls1+EaMdTEAsvHVV54uDaunE0zMTKVz3BK6UD//4zHu6qz/OdN2JmNXpaWcCxwDbRtA7efL0IrGNQbuAE4RVUnxh0yGfXRE847rAyzlIyMRYRjgWNVuT1sWaKCc/tyFsAl98O2A2H42TB8IpzgLameP4ZFe0NJHi1Zz/E8S19fFO9RLiaHHWyhDRvYi8Ys5lwe5W1OZAmHkctGTuQJDmARkMNwzuIr9sDlky0CblPVKgcfrJ6Skcl8DHT2gW8DV6MTSkrhiUHw3Imw9TA44QTgHuB7OHEhLB1O17em0qx7HqOaXMucwb1Y16M5AMs5mEG8xk38mnoU8yy/ox0LuYVf04nP+JCz/amKac0GTuMKXB30AuA5X0erUkwpGRmLd2feAM4KW5YIcjzwCfC1KiWqzFNljOo/z1dtdxXnXvQ3flh/FFs3t2Rp1z58ff4ZFO/di1Z7rCX3p+1ZeVRXuvI59ShiCJ+Qg3Ig09hMt51nOJqvOAhUtVRVX8K5lQOqEsxiSkam8zZwtgjtVFkZtjAR4hpc2sQTInKZK9si9YE/AmdTj47IKleRs8PTk+nFKr7NuZwGnXJY06cfSw7tBjOmkLdi484jNmAHJb6OOsA77MdnXCTDpJVf0gRoU5VgZikZGY3P6n4XOD1sWSLGCuA4YBCu5RTAz3D3aTC3czrX8QAAJbn1mX1CH0q7d6GkTRvafTONFvOnoTkVGzXzaMUkzuAgHgRaq2oLXMeaKksPm1IysoE3gGP9SJThUdWlOMV0ooj8DWgKbAfWsJyNvJ5zEgBzLj2T1Xv3od6q1TT47Gv6Dv+C0vq5SFFRhQffSgMEyGUugIhcAuxbHblMKRkZj68YMBk4OWxZooaqLsSlCvwEN6dtAdRbxr+ajaHJANflpfPIdzj0wTeQjZt37liS1wDZXrFS2odV9GYiH/EMzirbD5hQHZksJcDICkTojmvVfXk2z8CvCBHygKOBU3EdZN7kN+1yaLyqH4nqo390x6Uc/OgLNFlVWMEhK62PXhlmKRlZgSoLgLnAMSGLEilEaCfCxcDTwGHAv4FrVBlJ41XjcToiv9xOKlCS04CG67dXcNgK66NXB1NKRjYxHDjLzxvLWkQQEfqJcDuuzEsOcJMqv1fls7JpOX6KyIu4uWy7FNP2ZnnUKy2mflGiOXVlc99eqm21AFNKRjbxNW5mfZW5MpmICPkinAz8A7gS+BS4VJUnVFmWaB8/qfY53FB+JyCHwpYNqVcUP/Ukx69vTR0m45YdyDCyAlVUxFlLuMB3ViBCR+AUXED7W+BRXNJktQLKOlSnS4E8RFl9dCltR/MFZaVKXH10V85kMjDN6ikZRg0QoT7wL+CvqlTYVind8S7qQcAQXLWAd4DRdU0glQLJZ9zNp7Oh6xCG/OIlyuqjW+VJw6g9IpwK7KvK3WHLkmxEaITLPRqCm60/CvgomSOOIhwD9FflnmQdM5ZQ3bcg6v0aRgLeBc4VoZNqJe3A0wgRuuJctKOBL4AHge9SVEuqKbCxyq1qSSiWUpD1fg0jESJcADRT3TnFIu3wTQf646yiHrh5fqNT3V5KhPMBVeW/KTl+0Eop6Hq/hpEIEVrgqi1ercqGsOWpCX66zPE4y2gjMBIYr0rFGdbJPf/VuO4qI1Nx/EDdtxrU+y3GZZHmM5xH5F5ZrZv0J0HIaGQHqqwXYTzOyng+bHmqgwg9cPIeCUwF7gkpWN8UUtdAM6l5SiJypIhMFJENIrJWRCaISH/Y6bKdS/ULkANs4yyGcxPf+v0NI5m8BpzkWxpFEhHqi3C4CHfjCqWtxmVc3xfi6GFKlVLSLCURaYaL9F8DvIybPzMIN+sYQqr3axgVocoSEb4DBuNrWkcFEZoBJ+AmEa/CuWiTItIyKqWB7mS6b70BVPUF/70QlxuBXCONGM9NzKQfpeTShm85hxdpRSFzac2z/ImD+Tdfcxql5LEH7/Ezr4Ce41Q2056rQQrkQ4bxH5yyawh8CVyjqt8m8TqM7GI48GsRRtelFVGy8KV7TwUOBSYBd6m68h8Rohlp4r7NBEpE5BkROUlEWu5cM4qbmMsBnMN9XMdtFNOAlziv3N7L2ItfcSen8jdmMYTpdNi5zj0sOTjFNxqXRtAO16UiLeIBRjRR5TtgHXB4WDKIkCPCUSL8FVcNcjFwpSoPRlAhQbrElFR1Iy4Ap8DjwCoReUNE2rOOM+nLRPZiNc3ZzmBGsJJDKIo5/wmMpDFF9GMxjVnMArrEnaIIaKuqT6nqJlXdDgwD+olI82Rdh5GVhDJRV4SWIpwHPIlz1V7DlVZ5RTV17lFd8L3l8oCtqTpHUgPdqvqdql6sql1wVeY6AQ9QRBtaxOROdGMNSn2W0Wznsvm/OYXtTXIBqM8OdsSVS4ASimgsIn8WkTkishGY79dVWffXMCphMtAI2CfVJ/Iz9PuIcBMuJaEVcKcqt6kyUZWSVMtQR5oAm1PZ4DNlVQJU9XtcbZZ9yWU162m9c+UiWiGU0DHm12B7s3bMOP2QSg5Zn1c5jLIawq5tSw+/LqtLURh1w79gr5HCrici5Po+dPcBNwGzcVbRP3ytp3Qhpa4bJFEpicjeInKjiHTx37sC5wGf0JLXmc7hzKE1G2jAu5xJO6aRGxNYbLxiHmv37MvanhW5YrlsoISyGsLul+1PyZLfyHo+AHr56RpJQ4Q2IlyIK6J2DPACcJUqr6myudKdo0lKg9yQ3NG3TbhpI78WkRbAelyKwG8YQjHjOJqX+C2l5NCabzmbF8vtnbdlEy2XzmfWKUfCw+WP7NLpi+nAQyxjP2AJsBa4A5eCYBh1QpUdIozCWUsP1uVYPjbVFzeK1g8YC9ysypK6yhkBUm4pBTbNRArkZFxxrd0nQH579sEUN8hj35cmM/HG8+g2fjzdx8eatLWu92sY1UWEpriyJteqsrYW+zfATYgdQlmda3jft3nKCEQ4HthH1bdfSgFBVp6cSqJ6vwDF+Q3I2bad+kWldP94HAsHDaK4QX2/tk71fg2juqiyCfgQZ+FUG1/n+hLgKVx+0b/xda4zSSF5Upo4CQEqpQrr/QIUN8gnd6vL9O42cSF5G9cy49R+JKHer2HUkNeBE0RoWNlGCepc1yNBnesMJH0C3dUhYb1fKK+UAPq8MYltzQ+nsEUX6ljv1zBqgiorcPWITki0PkGd62m4OtdPVlTnOsNIq0B3tdit3i/k0HBtG5osbQR0BHJpsaiYrW3f5qnxW3TlPqaQjKAZAdwqwqiyuWZxda6/oYZ1rjOIlFtKoVSe9K7YaCmQD4HezB28P63mfA4sxNf75f27Af4pQl9VTDEZgaHKLBGWAYNE2IgLXPfCVay8vq51rtOczBl9q1QI4Tngl/EjHiIMwrUTviEKkyWN7ECExsBVwKXA+6SgznW6IsLDwL2qO2dTJJ3Q+775nI4mJI7oj8fNsUno3xtGMhGhqwjXAE/gvIivgH+r8q4ppJ1kpvsWRyOgKFGdGN+n6zHgDyKM90O2hpE0EtS5HgP8QpU1IhyHS6b8PDwJo4M3IDIv0J2ASvMeVJnvy5ZegJvAaBh1xidKDsYFrzfgXLT4OtcfAReKsEdES4gETQOgNNVWY+juG9UzB58HjhChZwDyGBmMCD1E+AWuvE5PXFPKG1X5ML7wvrfeR5LCibppRsoTJyEallKV5qAqm3ww/CoRbsnCYVijDviuuANxmdqdcIUCr1ZlfTV2HwM8LkK7LB91gwDiSRANpVTdC30HOAlXCvfjlEpkZAQiNMcNkpyEa+c1EvikJnWuVdkiwnvAabgAeDaT8ngSpI/7hk8JeBS4RCTB/DnD8IiwlwjXA4/hpindpcrNqoyvZeH9N4DjfL+1bCZr3LdqX6gq34nwDXA28J+USmWkFb5M6+E4F6018BZwRTJGbFVZLcJUnMX1v7oeL41pCqmvAZU2llIMT+N6dXVMkTxGGpGgzvVwnDJ6JckpJMOBISLkJvGY6UYgllIUlFKN/FSf9T0cuDxlEhmRpoo615NSUefaZzDPx1WPzFYs0F0JrwPHi3CwKp+mQCYjgoiQh+uYMwT33IwCHg2wrOxw4GoR3svSEeBmwLxUnyQKSqkJNVRKqhSJ8DhwhQhfRqRrqJEiRGiDi+ecAMzB1bmeFoJi+ArYgcsAnxLwuaNA1gS6m1GLC1Vlmq9rcxruF8zIIPyUhn1wVlE/XEXIUOtc+2lPr+KSKbNVKaXcKo2CUqqLn/o4cJ8IY2tTU9mIHgnqXI8C/h6hsrITgItE6KPKjLCFCZjMD3T7Ydx8YEtt9veV/t4GLk6iWEYIJKhz/TSuzvWoCCkkfBD9dbJz6klWBLqbAFvqGBt4CXhUhB/4vvBGmuBdtP1xuUV9cbWLblRleaiCVc07wLkidMySErhl1RQakwV5SnU2B1XZhvtVvcrfOCPixNW5voLyda6jrpDKnrnRwBlhyxIgjYGtQRRbDPslTpY5+DGuc+7xSTiWkSJE6CjCFTgXrR8ux+g6Vcb4Fz2dGAUc7efXZQOBzHuD8N23pCilmGJwBSJMSNN2yBmJd9EOwrloe+HqXP9KlbRumaXKOhEm4Oox/TdseQKgxqk7tSVsS6lW6QCJ8EW4JgE/S8bxjLohQmMRTsNNov45rrTxpao8k+4KKYYRwMl+xDDTySpLKZlWzX9wHVDeSWVhc6NiROiKG84/CvgM16jx+0zMgFZlsQjfA8fhJgBnMoGkA0A0lFLSLtQXg/svcKUIt2Xii5AspEAa4toGtcelZWwDVgAzdajWKL5TQZ3ra7Mkd2w4cL0IYzK8404g6QAQDaWU7Gp+Y4ATgSNwLoMRgxRIW5wCcY1A3bSJYv//XKBYCmQKMLWqVum+zvXxuLjKOlzwd0J8WdkM5zvcD+thuMTKTCUw9y3smFLSta//tfoXcJkVgyuPFEhf4DpgAM4qWgAswzUAXYZrBrrSr7/Ob7/7cVyd6+twGfU9YM/1IC1UGZtlCglvjQ8HzvJB/UzFAt11QZVvgOnAj5N97CghIvNFZKWINI5ZdrmIjN1tW6dgLgRWA0uhwknMxX79auCCMsUkQn0RjhDhbmAYTnldpcr9qnNuVNVsLiXzCe4Hdp+wBUkhWWUppWr4/mngFBE6pOj4UaE+8KvKNvAu27k4a6i68aJtwHK2N/25dJ5yGa4+9WnAm8Dlqrykyobai505eOt8BJk99cQC3XXFlzB9DbgM+GMqzhER7gF+KyKPqGq57hwi8iBwFvVoTRPWcxjPcRizASgkhxc4i2UcAkBHpnEewx1du9AAAB/ISURBVGlIMRPozdh6V9Cl73wWz9qH0qO2w0G/hkmLcImPbUS4V1X/5M8zDNhLVS8I7rIjx/vA+SJ0VWVR2MKkgMAC3aFZSt7/TvWFvgZ0F+HAFJ4jbKYBY4GbEqybSh8O5VbupSuT+ICr2Op/iF7hZNayB5dyF5fxe9bRk//JKcwZ3IuVpx1FkTZDN23n2vybOWT7+zDpD7iGoAfjOsrcISLWh8/jGzSOAs4MW5YUkRXuWwNAVdmeqhP4B+UJ3Ly4sK3CVHIncJ2ItI1dqKrPcR6tyaE+Z/M2peQwy7uzixnAwYyiI5to0r6UXv1nsrjxcazcdx8afz8L0SIuWPAkLTZs4ki+B9oAD6rqJlX9Fhez6xf0hUact4DDRWgVtiApILBAd5gvalDm4FTgZNw0hxEBnC9wVPUbERkF/A52VUoQkZvI45eU0A4opYR8Nvo2QTtoQRtZyxcXHsHaXgfSaPICiqbmcNgDrzGB3uSwhRyf59WQQn/IFTGnLYSsbzlUDlU2ijAW96w9E7I4ScM3S8ih+vHIOhGmpRSIUvJDto8DZ4vQMtXnC5GhuBn3nQFEZBDwWwbzV27lD9zB9dTfqVwgjw3MPO4ENnbdiwYbVpA7ag65FXSMTUEh/gzmNeAEERqGLUgSaQpsCioZOeOVEoAvofoucFEQ5wsDVZ2Nqy31S7+oKVBMK1ZSQh7Pcwol/kXZ2KkJbQ7Ywrype9Hz/jfYXNKGafVOowuTEx7ctb02qoEvvfIl8KOwZUkigcWTIEuUkudF4EAR+gR4zqD5Pa7uDbiKnGN4nqe4lxuoTxF5rGV7x5Z8fslPGND1bVpu+IpnC29h2j/2pmnbTfyENys4bibH41LBcOCMDIpjBvquimo408N8ka+eqvwjwHP+EOfv35gt8+L8HLffASuYd0w3Fgz6IT0+/oAeH+1qlbPgyO4s7X8Qh/0tUcwtB2gH/Lmmc+KyGZ9k+rYqY8OWpa6IcDjwQ9VgUmuyyVICN3ReAgwO+LyhoUO1kNJ6k5k/6GgWHTGIvsPfKKeQADpPXcz2pq3Z1LFxgkO0AyabQqoxmTT1JNB3NauUkreOHgN+LkKiFzDjECGHR7/sx8YuPTjwiVG0+3b3SbY520toumweSwbsGbcmHxBcLpRRM6bhrMxMSJsILJsbskwpAagyG5hMFhSDE6EJUMDKfXPoOvEqmq5oChVMUm4zfTZr9+wVsyQf6AC8VFW1AGN3YibqZsL8Swt0B8B/gGNE6BbS+VOOCB2Be3Ftlv+oD8z/AngOlwTZifjgdZcpi9jRpAUbOzT361sDz+lQnR6o4JnFR0A3EfYIW5A6kjXuW0oqBFQHP5H0RVwxuEzw+cshQl/gr8AbqjxRVnzMK5iHcJZiO6Ab0BFoR/2i9nSaup51ex7k1z9sCqlu+DIuI0n/qSeBKqVsyOiuiLdwvekPAyaGKEdS8SOMlwH3q/JZ/Hrvio2WAvkQ6A20BRoChazY/3vG3zJQtzUfHajQmc1o4AkR2qZxbXJTSkGgSonvgHK9CJ+mcg5eEHiL72fAscCtqiysbHs/mvZV3DFygNPT/AWKFKpsEeE94HTcPMx0JPMD3f4FCqTbZmWo8jUwkzQPRoqQh6sScCAuB6tShVQRqhTjCpYdkUTxDNfm+7g0HvHNikB3E6BQozGn6ilgiAjtwhakNvhmiH/E/S1vVa1g/lr1GQccWWfBjJ2osho3MfyksGWpKd6ACKxCAISnlMKOJ+3Euylv4OIwaYVvZ3Qfbq7VX32plrryNdAxXZV0hBkBnOpn3KcTDYEib0UHQtYrJc9wYE8RDghbkOriZb0b+K8qzyVr2ox/+CZhLlxSUWUerlHDMSGLUlMCjSdBeEopUB+1KmKKwV2ZDpMoRTgRuBH4syofpOAU43HVJY3kMhw4M83SUAJ/V8OMKUVGKXkm4zp4nBK2IBUhQj0RLgXOAG72XVtSwddAexHap+j42cqXQBH4uujpQeBeTZiWUiiJkxURUwzuHB88jhS+h92twF7Ab1RZmqpz+QGIiVjAO6nE9ogLW5YakDVKKWoxJQB8F4oPiFgxOBFaA3/BpVDcqRrIvRuPKaVUMAFnhfYOW5BqYkopArwAHByVh8bPm7oXN1T/YICjIN8Abf0cOiNJ+L/f66SPtWSB7rBRZSvwLK4DSqgBSREGAHcBT6jySpCF6WJcOBuFSz5vA/unicLPGkspioHuWD4AFDdlI3BEEBFOB64FClSZEIYc2ChcSlBlGzAGN2ARdbJm9C2ylhKEWwzOpyRcg6uO+RtVZgZ5/ji+AVqlyS96ujEKOFqEZmELUgVZYykF7qfWFFVmAZ8C5wZ1Tq8A78SVFblZlZVBnTsRvuSJjcKlAFXW4u5tZFNQPFmllCJrKcXwDHCsn86RUnxO0D3AUuAuH9uKAjYXLnWMAE4RoUHYglRC5ge6/dyfXIhpjBhRfDG4l0lxMTgR9sYppNGqPBqRicplTAdairgml0by8CkoM4DjwpalErLCUmoKbE6jFkdv4krDDkzFwUUYBNwOPKTKyFScoy54F24CNgqXKsp6xIVZBTYh4pqQ5gNbgjxvWEop0vGkWHxeyWPA5b5uUVLwI2w/BS4B7lBlarKOnQJsFC51TMe9D4eGLUgCmgBbgjYgwlJK6RBP2okqXwJzSFLCm3dhb8BZXzf5GeRRZjrQTIQuYQuSacROPQk7Ly4BoYySh6GUIp0OUAlPAqfVtc6QHwK+C2gA3OJHYSKNf3EmYAHvVPEJ7r3oG7YgcYSST2iWUjXxw/OjcO5WrfDB4nuB73BlR9KpLriNwqUIH7d7jehNPQnFgAijdlBaKiXPK8A/Rdhfla+kQBoCvYD2uIDgNmAFMDO+zbUI+wO/BZ5R5d2A5U4G3wNNROjqR42M5PIe8LOI3d9Q4r9hKaW0CXTHosoOEZ6k5dxfyR0/GEEO/XH3cAdQ7P+fCxRLgUwBpupQXSXCYOBiXMnaryo6fpRRRUV2Vg54IWx5Mg3/bL2J6xH397Dl8YRiQJj7VlPuzFnP4Jt7s/SQn+GsogXAMmCV/3chsBIYgHKd7PffW4BzgN+lq0KKwUbhUsubwOEitApbEI8FuqOOFEhfvii5jddf3Z+5x+3JljYVFYEvZkejlXx+yQH0ffU0ruj/uCqLAxU2NcwAGmZyu/MwUWUjrtX3kLBl8VigOwhEZKyIXF7j/QqkLXAuO1iDaiktFsxgxumJEyo3dWjE1P87k9LcbfQe9TKdpw3x+6c1fhTOrKXU8hpwoggNwxaELLKU0tV96w+UUuLbGO39+hQ2ddyDFfuVTxFYtXdrPr/sbJovmsfBj79Hzo4tuDIo6VSXuTLGA0dGMKcmI1BlGa5z8Y/CloWQ4r9Zm9EtIi1FZJSIrBKRdf7/XWLWtxKRp0VkqYis45/cDzGz9vM37KDjp5N4u9H5/IVhLKAFXx+0N88V/paP7j6YES+dz9/0N5QgwEpmc4rUk49FZL2IfCsip8Wc698i8g8ReVNENonIZBHZM9AbUn1m4nKsuoctSAYzHNc+PezOOpkf6A6j22Yl1AOexr1c3XAThB+OWf8foBGwDzdyHAOZCnGlaKeM3oPlMzvzo0GvUXhaVybxUxqtmc1vS2/gt9zEYYxAULajvMrPaMMXuLIk1wHPi0ifmKOdCxQALYHZuK63kSPGhbOcpRTha2itIPz5hlnhvjUEilUpCvi8u6Gqa1T1VVXdqqqbcErgaAAR6YhrsXy1qq6jKa05iNnlDvA0Z7OCvpzV4e+sPWEQq36wHw2++5Ydm3NZQCsaUMJhzKYe8Bk9KSGXq3hDVXeo6ge4RMzzYo44QlWnqGox8DxEujGmuXCpJwpTT0IxIII2D5viOnKEjog0Av4GnIizTgCaikh9oCuwVlXX+eX5xFpJJTRiEYM4ksfZ67uFtHvkafK27GC/QmEEp/Iq1wPQg3GcxxjW04J8NpBDfowIC6BcOZDlMf/finsgososXD5WD4j8vL10ZRpu9sD+uH5xgVJW4ymMWQdBW0qRiCd5bgT6AANVtRlwlF8uwCKglYi08Mu2EavA67OV43iYiVzEZPak2dLN5G/YQQu2cwmvcAu3cSr/YA6DGcfetGA922hOMbFZ3t2AJSm/yhRgLlzq8fd4BOFNPQltQCoMpRSFeBI4WQqB9SLSChhatkJVlwGjgUdEpCWbWMPnlA88H8FMjuJJ3uUaptEDgA/Yj5m0pRRoQiFCKfVQDmQe9SnmMYaISK6IHAOcCrwYxIWmiPHAIHPhUspYoIeIf76CJbR8wjDctygoJQUeAP6La9W9FLiP8t0lLsS5d99zH3l0YDkH8km5oxzFdxTzDGP4BfX5O6tpxyecRzFNqc9WevARRzADyOEs/st/Ocifbwnwc1X9PvWXmjJm437UegJzQ5YlI1GlSISROGvp/oBPH9q7KqrB1W8SYQjQVZV/BnbS3WSQz4Dfq+prNdqvQE4GBkCt2mV3AibrUB1di30jiwgXAarKs2HLkqn4ZhJPANepsjrA8x4JDFLl7qDOWUYY7ltogW4R2Qf4AfB5LXafirtf+VVtGEc+Lk41rRbnjDo2CpdiVNkCvA+cVtW2SSa0+G/WBLpF5C/AO8DNqrqgpvvrUF2FiwF1oPqKKd9v/5LfP9Moc9v2CFWKzOd1YHDAPQgt0J1qVPVmVe2sqrUuC6FDdTrwHNAG55JVFJPL8etbA8/5/TIOG4ULBlVW4XoQnhjgaUMLdGeNUkoWXsE8BEzGZWd3Azr6/3f039v59Q9nqkKKwUbhgmE4rhxzUINTob2rQY++NSM6eUq1xrtio6VAPgR6A21x2eqFuLpKu1WezGDmASXAXrikSiMFqDJPhIW4WQfvB3DKrFFKkcnoTgZe8aR74bY6EVeR0pRSankVuEKEDwJoe2SBbiOtGYeNwgXBl7jpTgcHcK7MD3T7bpsNCbjbphEIC4AiXBMFI0UEPPUkKwLdZd02SwM8pxEA/mWxFkzBMB7oIJK6HwBv8TYmpFBLkEop7UfejEqxUbgA8G3kXye11lJjoFCVkhSeo0JMKRnJYiFu9LF32IJkAe8A/UTokKLjh/quBqmU0raLiVE11lQgOFQpBN4GTk/RKUJ9V4OOKZlSymzGA0eYCxcII4FjRGiagmOHOkoetKVk6QAZjOpOF27vsGXJdFRZC0wCTknB4UPNJ7SYkpFsbBQuOEYAp4iQl+TjZo2lZEopO7ByJgGhyiJcFv2xST60BbqNzMG/KJtwdauM1DMcOFMkqe+yBbqNjMPKmQTHt7j4T+IW8rUja9w3C3RnD2WjcGF0YM4qfCrGcJKbTGmBbiOzUGUx7geob9iyZAmTgOYiSXOZsyamZEopu7BRuIDw80lfA36cpENmvvvmu23Wg+C7bRqhMQFz4YLkfWBvkXJdl2tLVgS6mwIbAyhMZUQEVZYAazEXLhB8e+23gDPrchxfbjcXlwQbCkEqJXPdsg+bCxcsb+Ks0xZVblkxzYDNYRoQppSMVDIeONxcuGBQZQPwMa4lfG1pQsij5EE9LJYOkIWosgxYA+wbtixZxGvAiSI1bppaRuhJzkFaShnTMMCoEZZIGSD+h+Ab4PhaHiJ0rybQQHdA5zKiRZkLVz9sQbKI4cAZtbznob+rFlMyUooqy4GVmAsXGKrMwPUfPKIWuzcjZK/GlJIRBObCBc9w4KxaVGuwQLeRFZgLFzxTgQbAfjXczwLdRuajykpgOTV/QYxaUoeJuqF7NRboNoLCEimDZyzQU4QeNdgn9HfVYkpGUEwADvPTGIwAUKUIGEXNpp5kfqDbB9qaYO5bVuNduKXA/mHLkmWMBgaI0Kaa22dFoLsxsM139jSyGxuFCxhVNuMqCJxW1bbegAjdqwlCKVmQ2yhjAnCouXCB8wYwWITGVWyXDxR7ty80glJKFuQ2UGUVsAToF7Ys2YR3nT8DTqhi09CtJAhOKYV+oUZksFG4cBgOnFaFlRp6jhIEo5QicaFGZJgADDQXLlhUmQssAo6uZLNIdBwy980IFFVW416OA8OWJQsp6xFX0dSTSBgQFug2wsCaCoTDF0ApcFAF6yNhQJilZITBRJwLlxu2INmEn3oygoqnnkQi/muBbiNwVFkDzMdcuDAYB3QSYa8E67LGfYvEhRqRwxIpQ8AnMb9OYmvJAt1GVjMRN/0hL2xBspC3gQNEaB+3PBIGRBDDshboNnZDlbUizMO5cJPDliebUKVQhLeB06VA/gP0Atoz8P5+7PnuAikYvR2YqUN1WxjyBaWUzFIyElE2CmdKKWhOuGEiK/d5nO2Ne9JgSymwg3bfdqbjZ32BPYFiKZApwFQdqquCFC2l7ptPkMsDtqbyPEbaMgnoby5csEiB9OWwBy6kz+uFzD6hLbAAWMamzkL9ooXAQlxd9QHAdVIggXY5TnVMqSkhd9s0oosq64A5VJw3YyQRERkmjWUkcCELKOHlUceyau99KcqvT2k9oTQnl/z1O/zmxbhSM6uBC4JUTEEopdADZ0aksblwSURELhaRr0Vkq4gsF5F/iohr492QRrSiO7CM7izjTq6j4cYVzB28N9taNqBe8XbqlcYbENtwpYx/KgXSNohrSLVSikQ034g0E4GDzYWrOyJyI/AX4DdAc+BQoDvwrojk0ZrOftNdAewun3zOyn0PYFuLfOrv2F7BobcBChxSDRnqHKdOtVKKRN6DEV1U2QDMphoPvFExItIMKACuU9UxqlqkqvOBc4Ae5HEJzehMsVdIc2nNMB6j7bTlLJnWkieX/4b6RbuU1cscx0NcC0AhOfybI7mbF0VkhYg8KiIN/XmPEZHFInKziCwHnq7rtZj7ZkQBS6SsO4fjirQNj12oqpuBt8jldIR6KKXl9hKg3/b3KNzeis2Ld7XAWshA9vKjoi9wFptoy9U8zqWcDnQG7ow5SgegFc4qu7KuFxKE+2bpAEZVTMK5cA3CFiSNaQOsVtVEZaeXAe1RShLu2WfCDFr22sji77sCMIN2bKUDg/iKUmAxgziRl2nJJrrRGPgTcG7MEUqBoaq6XVUL63ohqc5TMkvJqBJVNogwE+fCTQhbnjRlNdBGRHISKKaO5LF5NyupjHqlSk/9kG++c7WWpjKAtnxBE3awjKaUkseL3IYglFIClEC5xqKrVJOXaGmBbiMqmAtXNyYB24mb0yYiTYCTaMOnSCXv+/Hfv0vxjjy+pAuL6c/e3nVrx2bqsYOLGMbt/Jk7OV1Vm6tqk5i9k5ryY4FuIypMAg4SIT9sQdIRVd2AC3Q/JCInikiuiPQAXgYWcxLPU1nb9AaU0J5P+ZCfUExjjuQ7AOqjdGY8IzmH1TQHVolIZxGpqt53rbFAtxEJVNkIzMBG4WqNqv4VuBW4FxfLnYyr8nkcrZiOUlqptbQvU1jPD+jAp+TGuHrn8SrNWM2TXMIwxgPvAX1SdR2imrpkaxH+AdyjyvyUncTIGEQ4HjhElbvDliUTkQI5GTd1ZGktdu8ETNahOjq5Uu2OWUpGlPgEV1LDXLjUMBX3ztf0/ubjkgemJV2iBKRMKUWl26aRPqiyCfgO92tuJBk/2/9FXF5RdRVTvt/+paCqBaTSUmoAlKqyo8otDWMXNgqXQnSoTgeew+U1daLitKAcv7418JzfLxBSqZQscdKoDWUuXMOwBclUvIJ5CBcIbwd0Azr6/3f039v59Q8HqZAgtcmT5roZNUaVzSJ8i3PhPgpbnkzFu2KjpUA+BHoDbYGGQCGwigytPGlKyagtZeVMTCmlGK94vgpbjliSnhIgBdIQ6MWnlw1mfc/9Oe7254EVhKh5jfRChMa42eYXq1rV0mwjaZaSLwDVHxgI5NB2encar2qGm72cS4g1f430QpUtInyDc+HGhiyOETBJCXT7UpnX4R6iFcACNnbbyo4mq3AzlEOt+WukJdbaO0ups1LyCuZChnEHMynC1faF4vx8cgpjK9mFVvPXSEumAPt5V87IIipVSiKyOebz8G7rnct2Ls4aKk9xg3xyCxPFkAKv+WukH6psAb7GEimzjkpjSnHlCRLRH1fgaXflU9ygIXlbKgpsx9b8TflcGiNtGQ8cBXwYtiBGcNQo0C0iewFPAgcARXRiOVfyyM4NvuUHDOeXFNGUtu+splvDqQDMoi2juJDNdEFQWjOdn/IyrRgoBfIhw/geeBj4Oa6k5hjgomQWjjLSkinANSI09paTkQXUNKZ0F/AO0JJfcCID+JSyGBLAIvbnCv7Ehfye1fM78O3CboCziQ5mNDfxWy5nKIW05DVOwinF3n7vc4ATgZ7A/sDFdbguIwPw6QBf4bpyGFlCVTGl9TGfK4AinCXTiTa05ADmltthAGNoTSE9WEuzLptYtbkdAL1ZxVF8R0OK6cBm9uM91tDbH68srvR3VV2qqmuBkThrzDBsFC7LqCqm1CL2u4iMxFlLU7ibIg5gGifFBLlbsWHn/+uznS37Hciko3IpWrqdL9/fj43r21FSkgsq5LAFV+u3bI7T8phTbcVNBjSMqcC1IjRRZXPYwhipp0YxJVVdDlwBIEfK9UziHvbkM3qzezJk/TnzycvfQtf6Uxg558dIfTj63Pep174Ri2Z1Z/b7Pfn8J6ex9JBecGtTuOYIEbYAK6BRLpbIawCqFIrwBc6Fey9seYzUU9NA99nAJFVdjLAAgHqVFA2XbTvoMmUJpWwjj3Uc+txoltKcSVwJbGHPdz5hU+dPoOREaN4cGAy0hwuOhbkNRbgfl4y5PO7fVaokaiVjZCYTgGMxpZQVVKqURCTWXH4XmAU8ICLNgZUMZAx7sb7KsxzNSEZzKX/iQfJZRQ8+YTaDabZsLUf9aTgf8Ce47S3VW99z5/3XMMj/AfAY0B5XZKo3bpJmB6CVCOvYXVmV/bteNbkdFoxQmYJz4Zr6QnBGBlOnCblh1fwVIQdXpKoDu5RW7L8NcNNalpNAcakmyKsyIo0ItwDTVHk3bFmM1FLXCblTcb5+PokSKCumTjV/vetWpnB2wxcIi1dW/cq+i1DI7hZW2f9Xa0WdRI0wGQf8CEwpZTp1Ll3i57BdgHupq6OYymr+BlpiswxfO7wliS2sDkALYA0Vu4YbzTUMHt9M4BngCt+OychQklJPySumc3FTTlZCwiB0Dq7EpuCKkAeukKqDCLm43KmKlFYOiRXWcmClKtsTHNZIAiLcDHyhytthy2KkjqQVefOTaw+hrJ6SS4ws6zmei1NUk4Fp6VxPyc9ar0hhtQM2k9jCWg6s0Yr6uRtVIsIRwImq3BG2LEbqSEXlyXwiVvM3KLxr2JqKlVYz3L2oSGltNtewYkRoADwLXKkak6hrZBQp7ZBrlEeEPJw1VZHSgopdw1XWrgpE+C3wlSpjwpbFSA2mlCKCt7KaUHGaQ1tgAxVbWWuzwcoS4XDgFFVuC1sWIzWYUkoTRKiHcw0rUlpN2JWbtZviypTSHyLkkbfxeS4a/ACdpzZiVzqKNafIEEwpZQg+3tIOp6QSKa6y3K5EltbKdJi2s7M5xfenXU+TZWvpMvU73HXlsGswxZpTpDmmlLIA7xo2o2IrqzWwnoqV1rqwXcNyaScLjmjE0v77ctgDr8VtVpZ2Ug94MappJ0blmFIyEKE+lU/baUjFsawVqhQmVx6Zj5uG1ElVV+9sTnEPF7KFzpyfeztLbjmDQx57niYrEpWTCDVB16gbqeyQa6QJflrNCv/ZDZ9NHa+oYqftlMV0Kpq2UxvXcB5wnhTIi8C5fAuU+Oe1flEpTVbMZ8mAPegz8psE+8Y2p3jYXLn0wpSSUSV+AvN8/ymHdw1bUF5h7Q0c7b+3FGEtiRXWciqetvMfXM32OUApUziYbkxiJmcAsOJd5YO1F7ONXHIopBsTuICRAPydX9CJb/kJM/DNKUTkK2Coqo5Ixj0xUocpJaNOeIWyzn++j1/vKzrET9s5LOZ7rki8ldUgDwbOhXEtmK2n0IPpLKU/P+MvO5VSs4WL2fuihRw16kkWrmjBG9zAuyzieL6gN5P4huNxk3gHSgtZDXQG3kzx7TCSgCklI6V4120ZiXoDUm7aTpmS6gyNGsHF59G0rTDhm7P5cs9FNJqyg/XH9YaXYF3f9uy/aRGzcr5j+cA92P+Nr5nGFBbRG/iCo/iSqVzADFrRhxyEa4GXVDXrk0/TAVNKRqj4/Km5/gOAyLrfwaUP8iNpz5s8QtNFeXTr8ClS4uYNrj3kAD4sPpY5b+1J4fL6KKWUkks7PgWgEcV0YBpTGUgvPmUTQ4BTQ7g8oxbUuW23YaSM/XQjDXUNa7buxY/mvsU+r7j6W3s++zbf/bcDXZe8xa/0Ju7gerryUbl9+zGJRQxkCt2pz3ZVnRTGJRg1xywlI8ps4wzeYA1baMoOimJ+REvIp2HpZpqW7mAaPVjKAFqza/h/AHP5AGU8J9HW5smlE6aUjCizgu5sobtvUhFLf/7Lp5zN55xHC2bSgU8p2tmuy+FG607nMF4KSmCj7phSMiKHqvYAkAJpyK5pJMXkUsowrgJgD9ZwAp9VeqDmbKAFiziCD1MrsZFMLKZkRBYdqoW4woDtarzzZvKYyXF04mWbpJtemFIyos5U3HOaX+09PqIv93Mf+Wzmh9ybMsmMlGBz34zIk27NKYy6YUrJSAsyqTmFUTmmlIy0IVuaU2Q7ppSMtCObm1NkA6aUDMOIFDb6ZhhGpDClZBhGpDClZBhGpDClZBhGpDClZBhGpDClZBhGpDClZBhGpDClZBhGpDClZBhGpDClZBhGpDClZBhGpDClZBhGpDClZBhGpDClZBhGpDClZBhGpDClZBhGpDClZBhGpDClZBhGpDClZBhGpDClZBhGpDClZBhGpPh/3SAtfo+DKZcAAAAASUVORK5CYII=\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "pos=new_pos\n", "plt.figure(figsize=(5,5));\n", "nodes = nx.draw_networkx_nodes(G1, pos, node_color=\"g\", alpha=0.4)\n", "nx.draw_networkx_edges(G1, pos,edge_color=\"b\", alpha=0.7)\n", "nx.draw_networkx_labels(G1, pos)\n", "plt.axis('off');\n", "plt.title(name+\" (with the image layout)\",fontsize=15);" ] }, { "cell_type": "markdown", "id": "skilled-mercury", "metadata": {}, "source": [ "\n", "## 4. Undirected Graphs" ] }, { "cell_type": "code", "execution_count": 13, "id": "occasional-thermal", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "The Florentine Families graph is an undirected graph\n", "The Florentine Families graph has 15 nodes and 20 edges.\n", "The nodes are:\n", " Acciaiuoli, Albizzi, Barbadori, Bischeri, Castellani, Ginori, Guadagni, Lamberteschi, Medici, Pazzi, Peruzzi, Ridolfi, Salviati, Strozzi, Tornabuoni.\n", "The edges are:\n", " (Acciaiuoli, Medici), (Albizzi, Ginori), (Albizzi, Guadagni), (Bischeri, Guadagni), (Castellani, Barbadori), (Castellani, Peruzzi), (Castellani, Strozzi), (Guadagni, Lamberteschi), (Medici, Albizzi), (Medici, Barbadori), (Medici, Ridolfi), (Medici, Salviati), (Medici, Tornabuoni), (Peruzzi, Bischeri), (Peruzzi, Strozzi), (Ridolfi, Tornabuoni), (Salviati, Pazzi), (Strozzi, Bischeri), (Strozzi, Ridolfi), (Tornabuoni, Guadagni).\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "name = \"Florentine Families\"\n", "Gff = nx.florentine_families_graph()\n", "gne(Gff,name)\n", "\n", "pos=graphviz_layout(Gff)\n", "plt.figure(figsize=(8,8));\n", "nodes = nx.draw_networkx_nodes(Gff, pos, node_color=\"g\", alpha=0.4)\n", "nx.draw_networkx_edges(Gff, pos,edge_color=\"b\", alpha=0.7)\n", "nx.draw_networkx_labels(Gff, pos)\n", "plt.axis('off');\n", "plt.title(name+\" graph\",fontsize=15);\n", "plt.margins(x=0.2, y=0.2)" ] }, { "cell_type": "code", "execution_count": 14, "id": "addressed-palace", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "The Karate Club graph is an undirected graph\n", "The Karate Club graph has 34 nodes and 78 edges.\n", "The nodes are:\n", " 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33.\n", "The edges are:\n", " (0, 1), (0, 2), (0, 3), (0, 4), (0, 5), (0, 6), (0, 7), (0, 8), (0, 10), (0, 11), (0, 12), (0, 13), (0, 17), (0, 19), (0, 21), (0, 31), (1, 2), (1, 3), (1, 7), (1, 13), (1, 17), (1, 19), (1, 21), (1, 30), (2, 3), (2, 7), (2, 8), (2, 9), (2, 13), (2, 27), (2, 28), (2, 32), (3, 7), (3, 12), (3, 13), (4, 6), (4, 10), (5, 6), (5, 10), (5, 16), (6, 16), (8, 30), (8, 32), (8, 33), (9, 33), (13, 33), (14, 32), (14, 33), (15, 32), (15, 33), (18, 32), (18, 33), (19, 33), (20, 32), (20, 33), (22, 32), (22, 33), (23, 25), (23, 27), (23, 29), (23, 32), (23, 33), (24, 25), (24, 27), (24, 31), (25, 31), (26, 29), (26, 33), (27, 33), (28, 31), (28, 33), (29, 32), (29, 33), (30, 32), (30, 33), (31, 32), (31, 33), (32, 33).\n" ] }, { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "name = \"Karate Club\"\n", "Gkc = nx.karate_club_graph()\n", "gne(Gkc,name)\n", "\n", "pos=graphviz_layout(Gkc)\n", "plt.figure(figsize=(10,10));\n", "nodes = nx.draw_networkx_nodes(Gkc, pos, node_color=\"g\", alpha=0.4)\n", "nx.draw_networkx_edges(Gkc, pos,edge_color=\"b\", alpha=0.7)\n", "nx.draw_networkx_labels(Gkc, pos)\n", "plt.axis('off');\n", "plt.title(name+\" graph\",fontsize=15);\n", "# plt.margins(x=0.2, y=0.2)" ] }, { "cell_type": "markdown", "id": "accepted-preview", "metadata": {}, "source": [ "### Exercise 2" ] }, { "cell_type": "markdown", "id": "utility-stick", "metadata": {}, "source": [ "Repeat the above computations for the following graphs (give names):\n", "\n", "* nx.pappus_graph()\n", "* nx.erdos_renyi_graph(n=15, p=0.12, directed=False)\n", "* nx.krackhardt_kite_graph()\n", "* nx.gnm_random_graph(n=15, m=20, directed=False)" ] }, { "cell_type": "markdown", "id": "elegant-mercy", "metadata": {}, "source": [ "\n", "## 5. Directed Graphs" ] }, { "cell_type": "code", "execution_count": 15, "id": "downtown-credits", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "The directed Erdos-Renyi random graph is a directed graph\n", "The directed Erdos-Renyi random graph has 10 nodes and 12 edges.\n", "The nodes are:\n", " 0, 1, 2, 3, 4, 5, 6, 7, 8, 9.\n", "The edges are:\n", " (0, 2), (0, 3), (1, 2), (1, 8), (2, 5), (2, 9), (3, 4), (4, 0), (4, 3), (5, 4), (5, 9), (9, 3).\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "name = \"directed Erdos-Renyi random\"\n", "Ger = nx.erdos_renyi_graph(n=10, p=0.15, directed=True)\n", "gne(Ger,name)\n", "\n", "pos=graphviz_layout(Ger)\n", "plt.figure(figsize=(10,10));\n", "nodes = nx.draw_networkx_nodes(Ger, pos, node_color=\"g\", alpha=0.4)\n", "nx.draw_networkx_edges(Ger,pos,arrowsize=20,edge_color=\"b\", alpha=0.7)\n", "nx.draw_networkx_labels(Ger, pos)\n", "plt.axis('off');\n", "plt.title(\"A \"+name+\" graph\",fontsize=15);\n", "# plt.margins(x=0.2, y=0.2)" ] }, { "cell_type": "code", "execution_count": 16, "id": "efficient-japanese", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "The directed Gnm random graph is a directed graph\n", "The directed Gnm random graph has 10 nodes and 17 edges.\n", "The nodes are:\n", " 0, 1, 2, 3, 4, 5, 6, 7, 8, 9.\n", "The edges are:\n", " (0, 1), (1, 3), (1, 5), (2, 1), (2, 4), (3, 8), (4, 1), (5, 1), (5, 7), (6, 7), (7, 0), (7, 2), (8, 1), (8, 7), (9, 5), (9, 6), (9, 7).\n" ] }, { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "name = \"directed Gnm random\"\n", "Gnm = nx.gnm_random_graph(n=10, m=17, directed=True)\n", "gne(Gnm,name)\n", "\n", "pos=graphviz_layout(Gnm)\n", "plt.figure(figsize=(10,10));\n", "nodes = nx.draw_networkx_nodes(Gnm, pos, node_color=\"g\", alpha=0.4)\n", "nx.draw_networkx_edges(Gnm,pos,arrowsize=20,edge_color=\"b\", alpha=0.7)\n", "nx.draw_networkx_labels(Gnm, pos)\n", "plt.axis('off');\n", "plt.title(\"A \"+name+\" graph\",fontsize=15);\n", "# plt.margins(x=0.2, y=0.2)" ] }, { "cell_type": "markdown", "id": "enhanced-double", "metadata": {}, "source": [ "### Exercise 3" ] }, { "cell_type": "markdown", "id": "sharp-original", "metadata": {}, "source": [ "Repeat the above computations for the following graphs (give names):\n", "\n", "* nx.gn_graph(10) # the Gn random graph\n", "* nx.scale_free_graph(50) # the scale-free random graph\n", "* nx.binomial_graph(n=20, p=0.1, directed=True) # the binomial random graph\n", "* nx.gnp_random_graph(n=20, p=0.1, directed=True) # the Gnp random graph" ] }, { "cell_type": "code", "execution_count": 17, "id": "bored-cincinnati", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "The directed Binomial graph is a directed graph\n", "The directed Binomial graph has 20 nodes and 38 edges.\n", "The nodes are:\n", " 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19.\n", "The edges are:\n", " (0, 17), (1, 3), (1, 18), (2, 9), (2, 10), (2, 13), (4, 2), (4, 3), (6, 0), (7, 9), (8, 2), (8, 16), (9, 1), (9, 3), (10, 16), (10, 17), (11, 4), (11, 13), (12, 11), (13, 1), (13, 7), (14, 1), (14, 3), (15, 1), (15, 6), (15, 13), (15, 16), (15, 17), (16, 11), (17, 5), (17, 12), (18, 4), (18, 11), (18, 12), (18, 14), (18, 19), (19, 7), (19, 13).\n" ] }, { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "name = \"directed Binomial\"\n", "Gnm = nx.gnp_random_graph(n=20, p=0.1, directed=True)\n", "gne(Gnm,name)\n", "\n", "pos=graphviz_layout(Gnm)\n", "plt.figure(figsize=(10,10));\n", "nodes = nx.draw_networkx_nodes(Gnm, pos, node_color=\"g\", alpha=0.4)\n", "nx.draw_networkx_edges(Gnm,pos,arrowsize=20,edge_color=\"b\", alpha=0.7)\n", "nx.draw_networkx_labels(Gnm, pos)\n", "plt.axis('off');\n", "plt.title(\"A \"+name+\" graph\",fontsize=15);\n", "# plt.margins(x=0.2, y=0.2)" ] }, { "cell_type": "markdown", "id": "static-aluminum", "metadata": {}, "source": [ "\n", "## 6. Bipartite Graphs" ] }, { "cell_type": "markdown", "id": "elegant-volleyball", "metadata": {}, "source": [ "A **bipartite graph** is an undirected graph in which the set of nodes is partitioned in two sets and the only existing edges are between the nodes of this bipartition (i.e., there are no edges inside each bipartition)." ] }, { "cell_type": "code", "execution_count": 18, "id": "paperback-intake", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "The Southern women graph is an undirected graph\n", "The Southern women is a bipartite graph\n", "The Southern women graph has 32 nodes and 89 edges.\n", "The nodes are:\n", " Brenda Rogers, Charlotte McDowd, Dorothy Murchison, E1, E10, E11, E12, E13, E14, E2, E3, E4, E5, E6, E7, E8, E9, Eleanor Nye, Evelyn Jefferson, Flora Price, Frances Anderson, Helen Lloyd, Katherina Rogers, Laura Mandeville, Myra Liddel, Nora Fayette, Olivia Carleton, Pearl Oglethorpe, Ruth DeSand, Sylvia Avondale, Theresa Anderson, Verne Sanderson.\n", "The edges are:\n", " (Brenda Rogers, E1), (Brenda Rogers, E3), (Brenda Rogers, E4), (Brenda Rogers, E5), (Brenda Rogers, E6), (Brenda Rogers, E7), (Brenda Rogers, E8), (Charlotte McDowd, E3), (Charlotte McDowd, E4), (Charlotte McDowd, E5), (Charlotte McDowd, E7), (Dorothy Murchison, E8), (Dorothy Murchison, E9), (Eleanor Nye, E5), (Eleanor Nye, E6), (Eleanor Nye, E7), (Eleanor Nye, E8), (Evelyn Jefferson, E1), (Evelyn Jefferson, E2), (Evelyn Jefferson, E3), (Evelyn Jefferson, E4), (Evelyn Jefferson, E5), (Evelyn Jefferson, E6), (Evelyn Jefferson, E8), (Evelyn Jefferson, E9), (Flora Price, E11), (Flora Price, E9), (Frances Anderson, E3), (Frances Anderson, E5), (Frances Anderson, E6), (Frances Anderson, E8), (Helen Lloyd, E10), (Helen Lloyd, E11), (Helen Lloyd, E12), (Helen Lloyd, E7), (Helen Lloyd, E8), (Katherina Rogers, E10), (Katherina Rogers, E12), (Katherina Rogers, E13), (Katherina Rogers, E14), (Katherina Rogers, E8), (Katherina Rogers, E9), (Laura Mandeville, E1), (Laura Mandeville, E2), (Laura Mandeville, E3), (Laura Mandeville, E5), (Laura Mandeville, E6), (Laura Mandeville, E7), (Laura Mandeville, E8), (Myra Liddel, E10), (Myra Liddel, E12), (Myra Liddel, E8), (Myra Liddel, E9), (Nora Fayette, E10), (Nora Fayette, E11), (Nora Fayette, E12), (Nora Fayette, E13), (Nora Fayette, E14), (Nora Fayette, E6), (Nora Fayette, E7), (Nora Fayette, E9), (Olivia Carleton, E11), (Olivia Carleton, E9), (Pearl Oglethorpe, E6), (Pearl Oglethorpe, E8), (Pearl Oglethorpe, E9), (Ruth DeSand, E5), (Ruth DeSand, E7), (Ruth DeSand, E8), (Ruth DeSand, E9), (Sylvia Avondale, E10), (Sylvia Avondale, E12), (Sylvia Avondale, E13), (Sylvia Avondale, E14), (Sylvia Avondale, E7), (Sylvia Avondale, E8), (Sylvia Avondale, E9), (Theresa Anderson, E2), (Theresa Anderson, E3), (Theresa Anderson, E4), (Theresa Anderson, E5), (Theresa Anderson, E6), (Theresa Anderson, E7), (Theresa Anderson, E8), (Theresa Anderson, E9), (Verne Sanderson, E12), (Verne Sanderson, E7), (Verne Sanderson, E8), (Verne Sanderson, E9).\n" ] }, { "data": { "image/png": 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45NlX6bJwA3AIsKXo+vMOJqa7mlvktQHA+83s4sxzrYGxNeyriIiISKNTWG1aS4DuZtYpE1j7A4szy1Sf6PYRPskA1nIZt9CVbfyVt/AaJ1Zbpu3GHRx3x0Q6MIfJ3EjrTetZctKZLDlxJO3WLqXf0+vY1vUJeGzv9eetImYbOBx4vuC1hcAf3f1je71LREREpBmpZ7UJuftC4tT6d8ysysyOA64Gbi/5pu1U0JotdGYXL9GbuZxVcllLX0/++f0M//Wt9Jw+iV1turLymCO46+4Px4u3nWVGryJj2w38HvhxugislZmdbmZt0/guNrPz0vNVZna2mR3aoAMhIiIi0kCqrDa9S4FfEVXWtcCoGlsHnOuYzZ/4Nj+hAwvoyxRWcEStW+myaCNd/jqVnW1W8OJl69neKc2n2v944Ggz1gJTC971ReA7wGSgI1FhPc/dF5rZO4HvA3cQc8lOAj5Zj/0WERER2We63WoZSneg+gz5U/V1VQUcBNzCDb4KOBI4lzjVPw/YBgwBNhDBdap7PeZzFREREWlmCqtlykbbMOBy4haqdQmsVUBv4HYf5TOrrcs4GDibmKJqLjCHmHHgRGAj+eC6rLHGLyIiItIYFFbLWAqslxCzqK4Ait2BqhLoSXSw3lUYVKutz2hLzLmam+d1DFG9PQ4FVxERESlDCqtlLrUEnESEzEpgB9FD2oqYTmonMBGY4qN8ZZ3WaRhwBBFaBwPPENNSdU3behOwmXxwXdqIuyQiIiJSZwqr+wkbbVXAUOLOVO2IeVRXArN8lNenr7X6eqNF4Czi5gVziWrry0Sf63Ci4qrgKiIiIi1CYVWAPS0CpxDVVgMeJyqu24FBRHAdjoKriIiINCOFVakmtQgMIULrUGAC8Lg7K9Jr2eC6hXxwXdJCQxYREZEDmMKqlGTGQeRbBF4lWgRecscLguuJxIwFCq4iIiLSqBRWpVZmtCFaBM4hLuoaA0xwjym1UnAdSFycpeAqIiIijUZhdT9ho60dcXq+FzGn6lZgOft4gVW9xpBvETiHuOHAM6QWgYJlBpJvFdgTXIGl7ugXTkREROpMYbXMpamrTiY/ddV2YrqqSvJTV00CJtd16qpGGZfRnWgROAOYT1RbZ2bDaJHguo18cF2i4CoiIiK1UVgtY/W8KUAFcGdNNwVoCma0Jj+LQBsitD6TaxHILJcNricS88VOQcFVREREaqCwWkdmdgMw2N0vN7P+wEygi7vvquV9vwIWu/s367W9CKpXAEvZx9utFozHgSHuPqc+46lNCqODidB6JHGjgrHuLC+x7GHkK647yFdcFyu4ioiISI7CamJmVwHXEZPhrwfuAb7i7q+n128ghdUmH0uc+v8MsIoHOY4ZvJUt9KYVW+nIIk7lQU6jWNisAg4CbinVElDXsGpmZwO3u/uh9R6/0Y18i8BrRLV1RrEQmoLrAOLiLAVXERERqaaypQdQDszsOuBLwIeBfwN9gV8Aj5rZSHff3sxDOhnYzV84g1mczyn8idOZQRt28TRH8zLHlwirWwEngt9D2RfMrNLdi7URNDp31gL/MOMBYl/eBXzQjMeB8e5sySzrRM/rfDP+TgTX4cCngJ1mCq4iIiJvZG/4yqqZdQaWAB91979knu9IzC16vbv/vqAN4LD0WmvgvcD/c/eTMu/9AnCOu7/DzG4FFrn718ysG/BH8hdLjQM+4e6L9rw3rvr/MmtZx83cyCn8gfOZWnTwUziMJ/ggmzmECrbTi2lczt1UcRDwXW5gC/Bp4PNApbsPzFZWzawt8G3gA0Bbopr8BaL/dVV6bnPa2lBgNfC9tDzAX9Lx2ZarxAI3AdcDu4D/dvf/y8zJei4wjLggbKw7y0r/XPZUXHOtAruI0DoFBVcREZE3jIqWHkAZGEGcPr87+6S7bwQeBP6jlvffBxxhZkMyz10G/LnIshXA/xEhrD9xB6hbCpYZAlTyPAPYTWvewrSSW65gN2fyF77MtVzK91jNkdzHGUQQHpqWehcRjocVWcN303InEP2mfYGvu/sm4AJgibt3TI8lwFeB09LyxxMXVn0ts77eQJe0nquBn5tZN3fcnbnu/Bb4BhGAv2jG58w4LgXTatJ75rvz97Td3wGtiIrrN8x4lxn9ir1XREREDhxqA4CDgVUlTpEvJap6Jbn7ZjP7J3Ap8I0UWo8E7i2y7Grg77nvzezbwNiCxXoB29lEB1qzkdbsrvbqlq5tmfjZK+jy2isc9tSLdJv3OuYwiNUM4kmWMZS4+KtHesd33H1N4VjMzICPA8flXjezG4mQ/ZUSu/sh4DPuviItPxr4NfA/6fUdwDfSsXzQzDYCRxC3bE3HgLXAP814kGhXuAj4gBljKWgRyLwn2ypwNxH0hwOfBHZlWgUWqeIqIiJyYFFYjdPdB5fo6TwkvV6bPwM/IqqGlwH/cPfNhQuZWXviNPn5QLf0dCcza5WZVaAK2EkHNrGDjuygolpgbbVjF93nzmDN4cN48p1n8+rdndm0pA27d1SAGx1ZQJwyb5fesbDEmHsA7YGpkVtjiET1spQ+wILM9wvSczmrC47hZqBjsRW5swN4xowJxJRW5wIXmTGZaBFYWuJ9nra7wIx7yAfXTwC7zXiWaBVQcBURETkAKKzGXZi2Ae8hejCBPT2rFwD/XYd1PAr0MLMTiArrF0osdx1RaTzV3Zel5adBtVPZW4FKjmMeT7KTMZzAeTy759U2m3Zy3J+eAZ7hplb/j46HruOYz2+jolNrFo7pxqrnurFwyBDMZ8FkoGRgW0W0IRzt7ouLvF7sfUuIFoYZ6fv+6bkGS4FyHjDPjK7AmcC1ZiwmZhGY7l5QXa7+3lLB1TMV14UKriIiIvunN3xYdfd16XT2zWa2nuqzASwiLoiqbR07zOyvwA+A7kR4LaYTERBfN7PuwKgiyywH2tCdLRzJvUzmMirYzenMpDW7GM+RLOBIruLv7NpVSfsFMznnBw/y7OBjWLb4w1R2hjVDjuX5KzvAecDd7zDj38DL7mzLjHm3mf0WuMnMPu3uK8ysL3CMuz+cxnGQmXVx93XpbXcAXzOzyUSY/TpxUVWjcOd14N6CFoEPZloE9qpWZ95bGFz7pXX8JxFccxVXBVcREZH9yBs+rAK4+/fNbDXwQ/LzrP4D+JC7b6vxzXl/Bp4EflHDFFE/ScutIiqSPyIugMqaTe52qh/gUR5gHc/xdp7halqxlU4s4FQeBGAkf+MJLudGP4+OsxfSlydZuWUYPV56gSUnzwPeC936AxcDV5vxamziIz3NmEtctf91YIKZHQwsBn4JPOzuL5vZHcA8M2tFXKD1LaAz8EIa61/Tc43KnZ0xJiYSLQLnABeaMQUYU6pFIPN+J+Z3fS0TXIcTPbqWqbi+puAqIiJS3t7wU1eVIxttbyeutG/IKfY+wEQf5Q+ZcSgx28EpwMq0vgqiFcGI0/nTiaprXe6S1WLM6EK0CJxJ7McY4MVSLQIl1mHAoeRvQGCg4CoiIlLOFFbLULU7WNXtVqs5Re9gZUYlcCwRXAcTfbKziIufjiHmQJ1PBNfpwNJyDW5pX4YTF2R1Ah4Hnq6pRaDEenLBNTePawUKriIiImVHYbVM2WgbBlwOLKNugbWKmOf0dh/lM0uuNyqUpwIjicriM0RA600E12OI4DadqLy+VK5VVzMOI0LrscQ+jHGvfzW6RHB9Nq1zgYKriIhIy1FYLWMpsF4C7AZWEL2shSqBnkTwvKumoFpt3RHQBhLV1uHEFfnjgeeJuWdzwXUQceFSruq6pNzCmxmdybcILCPmrn2+Pi0CmXUVBtdW5CuuCq4iIiLNTGG1zKWWgJPI36J1BzGPaividq87gYnAlOyp/3ptw2gDvIkIrocSc16Nc2ehGW2JHtejifDainyva1lVXVOLwJuIamsX4AmiRWBTA9dnxMwQueBaiYKriIhIs1JY3U/YaKsibo3ag5jwfwtx0dQsH+WNFhjNOBg4PT22AOOASe5sTOGtJ/mq6+Hkq64zgMXlEuBSi8A5wHHEKf2x7izah/UVC6656bAUXEVERJqIwqoUlcLZEUS19TjgJaJNYEbu9HqqyB5BPrxWUr3qutetU5tbahF4M9EisIKYRaBBLQKZdZYKrlOB+QquIiIijUdhVWplRjuiFWEkcZvYiUSbwPLMMtmq69HErAOvke91bdGqqxmtyLcIdCc/i8DGfVyvEdOF5abDak0+uL6q4CoiIrJvFFalXsw4hKi2nka0IYwHphT2rqaq61DyVdfWRNU1N8NAvaaaakxmDCBaBI4npvEa687CRlhvLrjmKq5tyfe4KriKiIg0gMLqfsJGWztgCNCLmKZqK3FL1EbtWa3zeKJSeTQRXI8kZhEYB8wuFsrM6En+Iq3BxK1sc1XXRS0R5MzoRLQInEUE7zHAc/vSIpBZtwGHkA+uVSi4ioiI1JvCaplLswGcTH42gO3kbseanw1gEjC5obMB7PMYI/SdSgTXtsTcrc+4s7rE8q2pXnWtIn+R1szmrrpmWgTOIW6q8ATw1L62CBRsI1txrSJ/cZaCq4iISA0UVstYPedZrQDurOs8q00hVRP7E6H1ZKJndTwwzZ0dNbyvB/ngOhhYTL7qurA5w5wZ/Yi+1jcRLQJjGqNFoGAbxYLrVGCegquIiEh1CqtlKgXVK4ClNOIdrJpLqp4eT1yUNYAIY+OoZZqnTNU11zLQjvwMA81WdU3V4jOIFoHVxI0Gprmzq5G3kw2u7ci3Cii4ioiIoLDaZMzsKuAadz+j3u+NU/+fAVZRt6CaU0Wcxr5lX1sCahu/mT0E3Onuf6h9XXQj5m0dQdzUYDww0Z31dXhv9m5aQ8hXXWcArzV1oDOjAjiBqLb2IN8isKEJtpXtcW2PgquIiMiBGVbNbD5xIdJO4m5PM4HbgN+4+z5fPFNke4cBrwKt3X1neu4qGh5W3w6cAuk+9zdxHesYyrv5JsdnJra/mU+ymhP4D37ESGalZ/sAE32UP9TwPdq38ZdeJ0ac5h9BnGafRVRbp9elYpmqrkPIh9d2xM82V3Vt0J2q6sqMQ4nQeiLwHDGLwIIm2lZhcM21CsxVcBURkTeSypYeQBO62N0fM7MuxKncnxIXAX2kvisys8pcCG1q6ar/UyE/hykAVSznWU7jeP4GwAo6sJ5BVO5V4VsBnGqjbWxNswQ05z7lpJA1G5htxl1EEHsbcLkZk4i5W5fU8P4dRDidCfwlU3U9Ja1jCfle10avuqY7YN1mxt+JFoFPmrGGaBF4tjFbBNxZCtwP3J8Jrh8C2pspuIqIyBtHRUsPoKm5+zp3vxf4IPBhMzsGwMy6mNltZrbSzBaY2dfMrCK9dpWZjTOzm8xsNXCDmVWkZRaY2Yr03i5pM0+mr6+b2UYzOz23fTP7oZmtNbNXzeyC9Nz7zWxqdpxmdq2Z/ZOoHFZSeDFVPyayhJPZiQHwFCfTk2lYJiD9iqu4jQvT+4ea2dlmtiizjflmdr2ZvQBsMrNKM+tnZnen47DazG4pGNde40/PP25m16R/DzazJ8xsnZmtMrO7MsuNMLPJ6bXJZjYifi5sBfs2WGdoexa0vg2OHmf2yjfNOMuM9rX/bFnlzuPu/Bz4InAvUYX8KPADMz5ixslmdKhtXfXhziZ3Hgb+G3iUuDvWjWZcmO6Y1ajcWerO/e6MBm4CNgKXAd814xIzhqSqtYiIyAHngA+rOe4+iZjb883pqZuBLsAgovJ6JdWrrqcC84h2gm8DV6XHOek9HYFcsDszfe3q7h3d/ZnMOl4BDga+D/zOzIwIVQPN7KjM9q4gWhV6EdNTVdeRdXRgCU8xjFkXDuNVTud4JpTY3R1Ef2UxlwIXAl0BJ6p3C4DDiFuI3llwDIqNv9A3gUeIu1sdShxbzKw78ADwM6KX9sfAA2Z2UOa9l8H2y2Fnd5i5AM4/hLiF641mXGPGUXUJYu7scOcld/7qzijgO8TP75S0ruvNuMiMwxor2Lmz251p7vwo7XN3YHQKyQMaYxtFtrnMnQfc+QYRXDcQP9PvKbiKiMiB6EBuAyhmCdDdzFoRU0Kd4O4bgA1m9iMiMP4ut6y735z+vdPMPgT82N3nAZjZV4DpZlZTW8ECd/9tWplaLoYAACAASURBVP4PwC+AXu6+LFUfLwe+amZHE2HxfuK0ePHT80OYwMzKN7P+sI7s6H4oO64+CW6qxHdXUH0e+11EP2exeUJ/5u4L05hOJ3pc/1+mJeDp2sYPLCtY5w7iiv8+7r4os44Lgdnu/sf0/R1m9lngYuDW9Nz/ufustI2/wPx3uHNNqoaeArwX6GjGeGC8O6uKHpsCaY7XJ4AnzKgk3+t6VVrfTNIdtRpjPtXUIvBHM+4mWgT+04x1xI0GprmX+Jnu2zaXER8GHjCjF9EqcAnQqaBVoNH7tEVERJrLGy2s9gXWEJXC1lDt4pgF6fWcwrk1+xRZvpIIb6XsCXXuvjkVJTump/5AhLevESH5L+6+zUbbVkr9XM5iGtN2vp+2P59K324LabVtK1RVseT972dC5+fx33eAja+DtwK2lBhTdr/6EYG0VJCqafxZXyKqq5PMbC3wI3f/PXsfM9j7OGeD7+bc+tPFUmOBsenCphHAl81YSlyUNc2dbSXGXU0Kii+lx1/NOIiYGms4cJkZy8j3ui7Yl3CXxv2wGY8SU3edA7zfjCeBJ+syA0IDt7sceBB4sCC4dk7BdQoKriIish96w4RVMzuZCElPE1NC5aqBuTlJ+xPTIuUUXriyJC2f05+ogC6neviqE3efYGbbibaEy9KDtL42Rd/Uke0czHQWcRZXrv0qg362mn8zki4Tx7Hzwh740AFstr680qsNaw5/EX5dxd55LrtfC4H++3qxlbsvAz4GYGZnAI+Z2ZPsfcwgjtu/6rd+FhEXVN0NHEcE1w+aMY0IrvWa2ilVXZ8EnkxV18FE1fXDRFUyO8NAg6aoSqFwGjDNjL5EaB1txovEjQbmN2S9ddx2bcF1KjBHwVVERPYHB3xYNbPORE/pT4Hb3f3F9PxfgG+b2ZVEr+G1wA9rWNUdwPVpftGVwI3AXe6+08xWEufhB8GeKaTq4jai73WHu+dOnc8mfzvVvQPkhdzDYp5mUOZWph1nLmLkzDGsqFrJLD+PNYN78+9PfAEeORoWmRnHkQ/lWZOImw5818xGEe0Dw919XD32ATN7P/BMagFYSwTi3URgutnMLgP+QpzSH0a0O9RbqpA+CzxrRhfgNCJgktoEJrjzegPW+XJ6/M2M7kTV9USqV11nAPMbEvDcWQzcbsY9xE0SPm7GBqJFYGpTtAhktl0YXE8EPgB0UXAVEZH9wYEcVu8zs51EaJpJXNzzq8zrnyEuiplHTLz/W+D3Nawvd1r7SWLy/YfTOnKnyL8NjDOz1sD5dRzjH4nT59/MPeGjfIuNtolk51nN6sc6+rGu6NrO3/okqziGR+8cyO57KuGdj8HKi4BvAJugU0c4b6AZle7sdPddZnYxcQHUa0TI/DNRrayPk4GfpNkRlgOfy/T2XkR8UPglMAe4yN3r1HdaE3fWEafbHwEGEtXWUWbMS+N/oSEh0J01wFPAU6nqejhRdb2CCHi5quuM+lZdU4vAI2Y8BhxLzNn6vkyLQPGfayNJwfUh4CEzehIV11xwnUa0Cii4iohIWTkgbwqwvzCzdsS8qCe6++w9zzfiHazMaEtMwP8WoodyW1rneKKqNrMpK3vNKbOvI4jWjEnERVmF/ccNXX83IrgeDRxJ/Oxyva4Nqrqm262eA5yU1jMWeLU550/NBNfhxAwZ04jfjdkKriIi0tIUVluQmV1LVBrP3eu10TaMmC1gGXULrFVAb+B2H+XFTvnnbl16OhGOuhBTZO2EPVW1Aym45vZ1BLCJqLZOaqy7XKWq6yDyd9PqSvW7adXrQqo0r+wI4mezkQitU5r751EQXLuS/91QcBURkRahsNpC0i1hDXiXu08rukwE1kuIVoYVFJ/SqhLomdZ1V6mgWn3bGFEZHEFU9DYTLQCtgBfJV1x31G+vyk/Bvh5LzAgwjti/Rgtfqep6NBFcc1XXGUR4fbWu2zKjIq3jXKI6/BTRIlCvXtzGkILriURw7Ua+4jpLwVVERJqLwmqZSy0BJxET9FcSsxjsIoJlayLATgSm5E7912v9UdE7ibjwpycxtVcrovJ6oAXX7L52BSYQbQLLa3xj/bfTinyv69FE0HuJfK9rnaqu6TarZxP9yzOIamu9Zj5oLGb0IF9xVXAVEZFmo7C6n7DRVgUMJe5M1Y6YR3UlMMtHeX36WktvI/onRxDBeAMRXDsQ7QXTybcKHAjBtQ/RJnAacRzHEVfmN8qxLNhWV6pXXVeR73WtteqaQvbpRLV1EzGLQLO3CGTG04N8xbU7Cq4iItKEFFZlL6kyeAxRgRxKTOu0kbgBwqFEyJpKVAn36+Ca2dcRxG1enyMuPpvdFBXMtL1sr2t32HM3rek1VV1TS0OuRaAf0SLwREu0CGTGdDD5imt34vhNBV5RcBURkcagsCo1MqMTUWkdSdys4FliRoEjiMCUq7geCMG1cF/HAc+4s7YJt1lYdV1Nfl7XknecMqM3cTHWKUTYHUMLtQhkxqTgKiIijU5hVeokVfUGkL8o6zUijFQAJxB3pspVXKfvz8G1xL6OA55ryv1KF1cdTj68HkRUtXO9rntVUM1ol8Z5NvEhYgwwuaWPfwquuVaBg8m3Cii4iohIvSis7idstLUDhhCn4quI6ayW04g9q3Uei9GaCKgjiZA6BXiBCFfDObCCa7F9HQ8saOoqZrpLVy64HkX0EOd6Xee5syuzrKVlz03jfJpoEWiyqnBdFQmuzxHHUcFVRERqpbBa5tJsACeTnw0gNzdqJfnZACYBkxsyG8A+jy9uT3oaEea2k6aFAgYT4WQAB05wLbavE+t7J6sGbruC6r2uJauu6baq5xC/My8RswjMackWgRyzPR9ossE1V3HdVdN7RUTkjUlhtYzVc57VCuDOusyz2hRSZW8IcUr6BOAVogI5n7hzVi64ziAfXLe3xFj3VQ37Or25ApcZnaledV1Lfl7Xue7sMqOK/E0gthOhdVK5fGBIwfVEotWiB/ng+rKCq4iI5CislqkUVK8AltJId7BqLikkDScqkD1I85kSMwq8Kb12GNUrrvtrcC3c14nE3K1LmnEMFcBA8vO69iRfdZ0OrAOGES0CA4iK8BPurGmuMdYmE1yHE+NXcBUREUBhtVmZ2Q3AYHe/vMbl4tT/Z4j5OOvTj1pFnB6+JdcSYGa3Aovc/WsNGXPJMdZxvemU9Aji9PnrRFCaTFSETyDCyUAOjOBabF+nuLO5mcfRmQinx6Svr5MPruuBM4mK68tEtbVJpulqqNRukQuuvVBwFRF5Q6ts6QHsT9ItUq9x98cyz12VnjujETd1MnHqv25BdRxDeZyr+SrXE7dNPQl4qBHH02Dp7lD3mPFPIjiNBN5D3B1rHPBToCMRXM8EPmzGDOICnP0quJbaVzNeJCrLLzdHKExztU4AJqSq62FEcH0f+arr/cTNJS4HdpjtaRFo8eOdKr6PAY9lgutFwNVmPE/8bii4ioi8QSislpl01f+p0OBbgK4ATrXRNra5ZwmoSbrqezow3YwOxPyg7wPaA88Q85k+ZUZHolUgG1xzFddtLTP6+imxr+8F2pvt2ddVzTiWeelxb5pLNtfrOoxoEVgPvI0I1rlZBFY3x/hqUxBcuxHV1mxwzVVcW+RuXiIi0vQUVhuZmfUBbibC1kbgJnf/WYllTwN+TISGBcDnuIE1QCU38TkOZjYrOJJNHEpn5nIpv6MXG2sZQm6mgKHEdFKF2/wYcD0xafvTwCfcfYmZ/RzY6u7XZZa9Fxjr7jeZ2ZuA3xEXFj0IDa8QurOJOP081ox+xKnzr5ixmKhATiwIrm8GrjRjJhFOXtyPgmtt+/psc1Yz08wFhVXXo4kPDb2AC4APmjGRqL6WTYtAmoarMLheCHxUwVVE5MBV0dIDOJCYWQVwH/A80Bd4C/B5MzuvyLJ9gQeAbxHB8YvA35nPUEjhZRGncBG3ch3X4VTyL/4DALfahrKDuNincJvnAt8BPgAcQgTkO9PLfwAuTfuAmR0MvBX4s5m1Af4B/DGN9a9EpXCfubPQnbuIAP040QLxPTMuJ05ZP+3OT4CvEle7jwS+b8Z/mnGSGW0bYxzNoaZ9NWNQmmWgOcez25157tznzneI38H/JW4scBrwa+AOMz6Ubj5QNtxZ685j7nwP+CawCHg78bvxYTOOMdOHcRGRA4H+Z15//zCzbOUmdwtSiPDRw92/kb6fZ2a/JaaferhgPZcDD7r7g+n7R81sCpMZyWHpFPEAxnMEK9K/p7CQ41l6Qm+m/Of/0GrnZtpsWErHZXNY//QOeK6CzV3b0m7tNsx3QdFw8SHg9+7+LICZfQVYa2aHufskM1tHBOxH05gfd/flZnYmMafrTzyuyPubmV3boKNXQqqGPQs8m25BehpwFeBmjAcmuPM08HQ6tX4CUaW8Yn+ruNZxX9e1wLg2ELMZTDTjt8TMAecTH26uM2MKcC8x20HZzCSQKq7/Bv6dKq4nEsE12yrwkiquIiL7J4XV+ntXsQus0rcDgD5mlr0tZivgqSLrGQC838wuzjzXmvUshDTBewfWZ17Zzk7a0vv5ZQx46jZWHHsG2zr3ZWuX/mxwYE5bnvzql2m1YxMHvbKB5ccNsBtoA/17gG9MvYp9yAdr3H2jma0mqsDzierq5URYvZy4+In0vsVefeqIBXU5WA2RJrj/lxkPExPhjwRuMGMucer8BXfGAeMOgOBal31t9pCVel1fBX4J/NKMAcBlxCwVnzfjZaI6PJ244UBZBMESwfUColXgBeLiLAVXEZH9iMJq41oIvOruQ+q47B/d/WPZJ220HQd8sOS7zOG4P08EJrK9fSVzzjuGl1qfDT4U891gFexo34vFp5wCnAAn9IUehwO94fzBUHmZGduBFTBjA3AQvG1dOgV9OzDdzI4nJpr/R9rqUqCvmVkmsPYH5tbxuDRI6pWcC8w14y6if/Uc4DIzJhEVvkVQMri+RATXF8o9uNZjX1tqfAuA75jxY6IS/O70eCuwM31IyN1Nq1wuzsoG165EcD2ffHCdCsxUcBURKW8Kq41rErDBzK4Hfkb0nh4FtHP3yQXL3g5MTv2sjxGn2U/jUBZxDTuhDv2LbTbvZNg9z7GWzbxsfTho6uOs73csu3a1Ztnhi2H3TNjw9rirJbvh8oXwqZHw73Vw6mvw5VNhyAp4+FPADvCVMHAJvP5P6PIUzO9rxgo4/BmYuxP4rJn9AriYuMJ9bKMctTpIYTN3YVAPYp7QT5uxgahATkoXMxUG19OBy/ez4FrXfW2psT1hxpPAEcSNBo4COhPH+x1mbCI/r+vscgiDqYI9BhiTCa7nAR9RcBURKW8Kq43I3XeZ2UXAj4hTqG2JW3HuNXG+uy80s3cC3wfuAHYBk1jEJ4GJtOLD9dr4Du/C/Xdkbjbwq/7wbFto3wm2rwQehw+th8eWw6Vvh83nwtCl8NcHiCv7DWgD730BfvRBGPUAMbVUD5hTCXfeD5+9DtZ+F3qOgy2PwI42ZlhzXy3uzkpiGqb7icA0Enhnqu6NI07zFgbX44mKYDa4vuher5suNLs67uvuFhiXE/O1vmzGwcBZaWxziN/5dsA7gD5mzCLdCra5puyqSZHg+iZi6i4FVxGRMqQ7WJWhxrqDlRntiYu+LiCmstoJLCF6aBem5YekRztgLfyqN1z/QVh7C1R0TcsvBzbAnimWuhNX6vckKsIrgJVpuZXp+xXA+uYKspl9HQF0JeZuHe+eLlCrvlzuzlmDicCVq7iWdXDNqeu+tsC42hIV93OJDz9jienTBpO/Fexmqlddd7TMaPeWCa7DiT7uF4keVwVXEZEWpLBapmy0DSMuclpG3QJrFdAbuN1H+cy91mf0ISpfb0nLOhEoJxFhbQOsOALO+Am8aRPc9QLwGrCWmAqrkrjQ6hAiRC9Kr69M4+tIPsD2JKbOakP18Jp9NFmQzexr7uYK44GphWH0AAmuddrXZh6TER+OzklfnyEuxlpF9Dofkx59gNmk8FoOVdecEsE1V3Etm4AtIvJGoLBaxlJgvYS49eoKKFrdqSTCoQF3FQuq1dZptCKCwkjij/GmWMejreGCD0ObGdD2HFi7GzicfOW1DxFQ5xKzFexM2+0P9AO2ENXa3OM1ooqWDa+90teelA6yK4F1jRFkC/Z1CHGP+fHE1etesGx7olVgeFr2FSKcPL8/BNf67Gszj+sg8i0C84hq60vueGrPGEZUXI8mfoemEy0Ds8olFJrRhXxwPRQFVxGRZqWwWuZSS8BJROWskqhy7iKmxGpNhMaJwBQf5SvrtW6jc1rvSOJ08nqi6pqbB3QqMD8Fi7bAQKICOST9exXRozgbWENcZJMLr/2IQJqrwOZC7DJ3dqVJ5nPBtfCRDbKF7QUNCrIF+9qK/C1e1xZZdn8PrnXe12YcUxvyLQKtiNA6IXc8UzW2H/mqa1/idytXda3X73ZTKRJcp5NvFVBwFRFpAgqr+wkbbVXEKdUeRH/pFiLAzfJRvk8BKgWFAUS4OYkInpuI3tRWRHCdQgqu6T2tiHCRC6+DgW1EcJ2THhvJB9d+RJDtTvTBZquwi7JX6JtRxd4tBbmqbNu038WqsrUG2SL7Op+4UOn5YmEjBdfjiHAylP0ouBbs63BibtyS+9qMYxpCtAgcQcx68HiJ3uJc1fUYotUk1+taFlXX9KHgRKoH16nE9F0tPj4RkQOFwqpUY0ZronI0ggiXc4gQ2p/83bqmAq9mg2EKIb2J0JoLsG3JV17nEMG0kqia9Sf+wPcnWgzWkG8fWAS8lu6oVDi+KvZuKcg9qijdI7tXkC2yr5OJU+evFQu9RYLrLCLEv+DOlpqPbMuq774205i6Ey0CZxAfGsYQFcrCn5MRvyu5quuh5KuuM1r6wjLYK7j2I19xVXAVEdlHCqtSUuo3PD09thFVRYiKV1sitO4VXDPv70b1yutBRCjJhddX3dmWqrS9qN5C0I+YfaCwjWBVqXCVCbLFWgsKg2y2veB1ouKb3dfxwMRigTltqx35VoFccM1VXMs9uBb+XGvc12YYT2vyLQKtiRaBZ0pVrtOHhqPIzzCwjTQ1FvBKS4fDFFxzrQL9yVdcp7f02ERE9kcKq1KrzKnbkURAe5kInB2IalIVtQTXtJ72VK+8Hkq0BMxOjzm5ye7TNrtTvYWgX9rWIqpfyLWstqmFSgTZXIW2HdXDaxvgsLTN54kwN73UfKYpuB5HtBVkg+sL7myuaVwtqcTPtcZ9bYbxDCZC65FEi8DYmiqnBVXXo8mfDcj1urb0dF65myWchIKriEiDKKxKvaTQdxIRcA4mAsVcIkgOJ8JkrlVgXk2nmFNFLXvR1iBiqqw9rQOFt+40oyP59oFckD2YmOIrW4FdVNee0nTxWLEZCw4hQmuntOjzRM/ny0Swfb3IKetccB1O9GTuL8E193MdQez/BGLu1qUtNJ5u5FsEFhDV1hl16EluTwTdXMvAdqpXXbfX8PYmlQmuw4leYgVXEZE6UFjdT9hoa0cEul5EINxKBKZ9vsCqwWMyehPh5jSi53QcsJiocNUruKb1VRBBNNc2MISYmWBP5RVYWiQgtiH6YLNV2D7E6f1q02m5s76e+9iWCG9HAW9O+wWwLj2WUfyGCGuJVolcq8ARaR9yrQLlHFyL/VyntER7Q/pAczJRbW1LhNbxdfkgkqqufckH1/7EB6vchVorWrBftxP5VoEBRKDOBdcWC9Qib0QWZ9eK/32t3415pIkorJa5NHXVyeSnrtpOBLhK8lNXTQIm13fqqkYbY4TMo4mAcxRx16LxRJgbnh7tybcK1Bpc03qNqHBmWwfaE4EjF15fK9YCkMaU64PNVmJ3UXAhF7CyrqGlYF+PIXpwXyVmT8hWZTsQU3vlwmuuLzY3jrIPrjX8XF9p7pCXfhcOJ2YRGEZM1zbWneX1WEc7qve67iQ/r+sr2RkpmpOCq0jLsPj/dd3+vlIe0+e9USmslrF63hSgAriztpsCNLV0mv5UIuC0I90KlOgDzQbX3HRYdQqumfV3JR9eBxP7voB89XVeqdCRAk9X9r6QqwNREc62ESypQx9s0X11Z3WmIlvsgq/OxM+tY/r3bOK0+9PA4pacxL+Umva1BcbSDTiTqHS/RlRbp9fz9yhXdc1NjTWAuGlBruq6vCV+Dim45loFBlK9VUDBVaSRWHzord/fV2jRv69vZAqrZSoF1SuApTTC7VZbghn9iN7WU4gAOB6YRswKUBhcpwJz6xsQUrXscPKV137Eqfls32uNV7mnPsfC+WB7EKeBshdyLSp1KrzUvhYLGCnIHkz8T7AvcRyOJfpjN6Wxv0BcfJZtL1jbEhc+FarPvjbxOFoTfbbnEr//jxMBut7tCqlnN1d1PYaowOeCa4tUXYsE1xnEBzwFV5F9kIJqw/6+KrC2CIXVGpjZfCJMDXT3dJW6XQNc7u5nN9l249T/Z3iAQUzmMioyf5j68AzXcEeJt1YRQfCWhrYEmNntwBx3vyHz3CJinx9v2DqpJHo3RxJ/dKcSAedV4n8A2eA6jfiDXO/gmrbVmqiS5fpeDyfuzJVrG5gNrK5D/2xrou81W4XtC2ygegV2IZk5XDP7OoK4YGzPvtZhm1XE6eCziIu01hKtBFuIinBHYDXF55Ft9iC7L/vayOOwtP1ziErpJOJGAw26OCyt7xDywfUw8lXXGcTsE83dBtGRfKtALrjmKq4t0r4gsj9Jf897YbaL1q3b4O6cdNJ4brrpQa644nIWLx7A5s1dePTR/+atb937jNErr3TnxBP/h507X/Rt205r9h14g6ts6QHsB1oBnwNu3JeVmJkRHw7qEihOBnazmx10Yi7X8YM6bmYr4ES16aEGDrXRpdPpU4Gp6TT+6cBHiOrVeOBJd+5PF/YMBy4DOpgxLb2vzve3T1dV5+6gleu77EsE12OAdwNuVu1mBXudek/rWZAeZNbVk3x4fUv66mbVL+QCfk6c4t+zr2aMJ24xWvQir3TR0DPAMym4HpuOx1FEn+7zRJ9tZ6Lym5uBoSfQ0axakM1e9LWmKYJsTT/X2va1kcfhxPGZm8ZxJnCtGYuJGw3UayqutL4l6fFI+lnkZhh4K7DbbM8MAy83R1h0ZyPwFPBUCq4nEDMlXGnGTOLn8KKCq0iNLmb37tytn5cAMHVqJ045ZTqnn/4Qn/709SXfefnlF3LIIatYt65TyWWkyaiyWoP0SexXwJeAQe7+emFl1cxGAD8lP7/m59x9fHrtceJK6rOJ+UiPJfrsvkRc9LMS+J67/3rPNuOq/y8Dy7mPk5nFGUXD6mMcx7O8k60cTCWbGcDTfIgHgEpu4VrW8VPf7jdn9mUmcL2732dmw4CfpTGtAL7q7n83s0+lfXGi0fxRIgB/kJh4fRfwdXf/sZmNBH5E/BGfD3zW3Z+s+7Hdc8HMCKJiNIcIri+6s9OMXkQQO4moKGZbBRocvNJ2DyZfeR1MTE01j3zf64La+lUL1teFveeD7US+D3YR7Nnf4wr3tQ7baEt+OqxccJ0KPJeZl7Y1peeR7URUZAtnLFhBIwfZ2n6ujbWdOoyjknyLQAfyswjs08VsBVXXo4kq56vkWwaateqaCa7DieqygqtIEWY2n549P8Xy5acS/y+s/v+jzZsr6NDhl0UrqzffPIjvfvf9XHzxOB555GzmzRuqWQKalyqrtZtC9MJ9Efha9gUz6w48AHwWuAN4P/CAmQ1299wv+xXABcTdn4yYwugiIhydCTxkZpPd/dm0/BDi51LzH/YqtvF2/pejWMZ0+nIfX2AMr3EuLzKMF5nAR4Gb0ziHEwHtITPrSITQrwDnE6dxHzGz6e7+ixS+C9sA3kymDcDM+gH3EhXQR4G3AXeb2RGZ/a5R+oM+B5hjxl3EH9u3AB8yYxIwzp0HgQczwfUSoFOquOZaBeoVtNJ2V6ZH+lBBZ/LB9RKglxmvkW8bmFtqqqS0vtfT48Xc86kP9lAiuB6evvYipoLqA3wCqDRjLHFV++IaxryNuD3q5BRccxXXD5hVC665amA1mSCbC699iSDZE+hcUJHdpyBbh5/reHcW1WedDZGC8QQzJhKB8lzgQjOmAGMa2iJQoup6BBFePwtgtie4NnnVNVVcnwaeNqMDEVxHAFeo4ipS4Mwz+1KXv69ZW7ca3/rWpdx44x+ZOLEvZhDFqReaZpBSjMJq3XwdGGdmPy14/kJgtrv/MX1/h5l9FrgYuDU9d6u7z8i854HMv58ws0eIamsurPaCTI/qBgbxTX6y5/u3Vd7C6ps+TpuNy1i/cgEvrl5O1dp19HxqFvN3nciKfss4ZtUCnl7+NrNzj4Exs4jAfKe77zSzdwKz3P22tMapZvYP4H3At+t4PK4E7nX3h9P3/zKz54nw+6c6rmOP9Id0PDDejJ7E6eTPmLE+PT+5RHDtbLan4jqnoRXCdKr62fTI9Y4OIj44nA8MMGMF+fA6u7bT26mCNys9SOutJIJqrgp7FFG1/lRa/0TitPUsitxwIK13GxHUp9QSXDdl3rMDagyyuYu9chd81RRkc+0FtQbZgp9rDyJEfbrg57qppnXsq3QM5wHzzOhCvkVgCXGsX9yXynL6EPM88HyquvYmguu5wNVmvEr+pgR7zRHcmNKxHAeMU3AV2XMmpDVQBRUV3POPm2nX3tjtuwHjos+N5z3fnc9m2rOxsn3RlVx55bkMHPgqV1/9GhMn9iVOR/doxt0QFFbrxN2nm9n9xOn5lzIv9SHT05gsIP7g5yzMvmhmFwCjiE9mFcRFRS9mFqki+6mvE/OqtQEsPbY3K1tVsXLNUBbfdwRbl8LuneA7ofvwXUy+8gQ6LHU6Pt2K9aePg52vQ4++cPdiM94CX+4GP+xt1mln9U2+a4kZb4bzj4XDTjbjeGJKj13QvTv8/KtmuT7T80+Hx4aYtb8sv442FXB1BzPOrMsxraOBwHlAULr/EAAAIABJREFUNzPWEiFpbeb1dkQQvxZobcYq4oKkdY04BoiK+DAiRHchQtwO4sKt3M0BGnpKaAlRbT0E+BDwGeLnvyUFxY3psQlqPIVdQVyY9T7ieK2HPcejoaffK4ifwVHEsc49qoA2ZmwjLv7aQux/9t81qe3n2tRyt3W9hPi9yc260NhtChVEWLwI6AZY2t81RCV+VyNvr5RK4uzOlcTvbu7CvdXQ8rNLiGRUENeJ1PSoIH6nWxVZvpKYJrF15mGx6j59OPU3GznvAmMFjuEYxzGZo6lgJ7st/nt8vtuRvJVxADzzTBcefvgtTJjwrT0jjNbJdk13CKQYhdW6G0VU3n6UeW4JceV5Vn/gX5nv91RSzKwt8Hfij8Y/3X1HqmpaZvmt1PRzOWTaMi761Ge5ke/S/+g59Ph/ndndtQev3tmeXduh1bb1VG6tpPM521j/fwfBsRuh3VY4Y1KMpdsAOLEVTHyUCFtbiEruNmAHrO4BbVcBTxB/TFvBzrfBuoXENB9tofc6eNsr8MBj6X1b09dtBd8XPl/ba9uLVZ7SKfVTiD/8nUkXIXnmvu+pIpubVaAL7HvFtZT0ab0P1fteW5GpvBIXbdV7u5l9PYf40LOY+Dl1JfZrCdUv5FpSOI1RqrgeQ/RsDiN6KqcS00ttrO+YSowzW5EtvE1tFyKQFbYVrARW5Y5LXX6uTc2MgcSxPpaoWI9N7RSNvZ1c1TU3r+sgotc7N8PAkubodU0V1+OJ343DiQ/fudsBq+IqdZJ+n9sQd5WrSl/bFvm+1L+LvdaG0n8jnOpBNRdKs2Nol5bJtWWtIT6QpYLCijsYPPE2Pn0BtGcBVQUfFjfvqOCn/JLj176857l//n/2zju8rqtK+7+tbrlIlmTLvdfYiePYaU4CCUlIAmQIQygDCW1CyQADzADhY5hJTMlQJ8x8AxnKMNQBAkOZfBBIIc1xiu30OI57lYvkJsuyrLa/P969dc49Ovfec6WrEnzX89xH5Z6yyzl7v/vd71rrtzM5fryK5ctXAtDZWUpXVxnl5T807e3jrLWDteA85a0AVhOatXazMebnSJfmmdDfA//XGPM24A7gjQgc/L80l/EvViPQ6VjWV6MJy9t+d1xm66KcsS88yxU3P8HD9Us4dOgGque1UtR5goojXRS/+iW4/RL4h6nwhj0oe9IReMdL8OVF8OXp8LdbwXbBnbVQcwwu2w81x2HfOHf8GKAUqk/AC2PQZH4UXrce3vYVuH4T/N9VsKsLPnE6XLUTPtJM6oBUjtjjsWQfrEocW5cO3O5217oAeUEfQKGunkHs4ybXlqMRG/hXyEveRxXYlA/g6kDFHvd5wA3cNQTg9RWINdxCAGC32wT535184AF33ckIyJ2LYsfeh0BfPWInXwFMcIxyOCPXLmt7vPQ9cF0GXOu2pfsNXF1d9rpPijm5QzghwkQEkMYDVcb0AFkvKfhfNAktBD5pDPuQTGDdIGg+twHbnG75FcBHjWEvcsh6Nl8LHffM+Pa61/WL17p+ECgKRRh4MZ1GOg/lOE4gzfDA9TzgOmN6gOtzA3X/gg2+pQGW0bE403dxgLMM6CA5QXEs5rsuxHyG54nRaLFbheafGve/dgQ6m0kBoCm7W83A8XSLPmPa22l9YQs1zCC6q9HUVEJ7exEALS0lNDWVUFfXyU03Pc8b3/h/eo772teW89hjF/HZz15n3/GOAlAdRCtEA8hgLhrADdbae93fPk3mY6FoABciD/o5CJh8xFq7yn33APBja+13Q9f8INLAlgN3opd1s7X2M5BDNIC7WM5TvJFORjKWlxjBYTop5zXnPkjztBX89r/a6PjkLLh9Njz4ebjoIAJT1fBQKXz0XNhUrwXr1H3wpbvgL/bCPePhPW+Gg2Ng/mZ46hvw0QXwnbdDRwVc/BO4+3dw2zL4+tvgwGQosTCvEb53NyxpIHXwiA4mR4HWNAxqERoEkwyola7NT0Ms5z4EHlsi541GQLkGLc52IaZxD6mDZ7rBNu6YWAY4UpfRiLnyAHaSu3fYaSuRZ7oDf4sRSJ8DPI0Ax2bEJEwkNanBVMSYR+PBtiBmb7n76YHr09kSJ+TLXF3CGtnwpwrJAbxD2BjEkN8HrLV24LfNXfnOQmxrFVo4PDKQ2loHJuoJ4rrOQnIiz7oOeFYzx3L7qAJzgA0EjGsBuA6SuWchKYhM+l0Zwe5ZPnbA2tAY2Gsh58o/Er27YdAZ/X2MK9cx0gNP/3dzkoV+NuuJs1pWVoy13VgLs2e/yIYNt2PMt3qdYO37e/3vxhsv5I9/LEQDGAIrgNVhaGaleQ3hOHC52STgcW6xj8A1t8DGt8D6NUib9iwBC1lPAKKOQk/Wn0oEgPYRyAT8CtizZWX0juV5AOkqDZkHqiSDVM9glWSQcqzYeYiFLIaeGJ+HIwB4MgIiSxGA3eI+jQTMQ5JtrFKCwT8JuD3p2r8WbQVPQgDzAHKm2gCst5Yj/alr6BgfnisaTquUALjuRX09gyECrlGLANlxSGKzHAG4EQicP42AXFhecHAggKwxzECg9QzUNhmjNuTxvp519ZKBEkhhXXPO0JXj/QvANYFFgGU6NjJXgBkGln0BkXHfxQLLHOtaSmbgGR7fTxI/niciLQbaDPR7frXDKI75qWIFsDoMrSeDlZwgcpkcejJYcQutwINg/gW6H0UBxC9D261FaPJbg0JqjUUM4Fz0MjaiwaTdHVvvjvF6yQPI2acbaSnDesUyesfy9MD2qLVYN/DFgdjoIBjd/kk36B0lcD6agYDccgTAViMAluI847zTvcZ1LPRIBTZmG9hDALgvuiz/+whStZ41rq5Nrr32ud8zgeAaFOd2HgJwjyEmstUfG54MHNCNMrBj3f2sa/M69Gw8gaQCQwJcwxaK3Xo5cnJrRs/iCVTeasTIxiVEaOovkHXtdhGSCRxAUQSeGYhECzH3Nui98qzrbMSY+/BYA8q6OuC6BL0nc9F4sQ7V/2UDXGN2bXJ5V9MBzHSL1v5o+LPu2uTL3LM1isxjsP+9lOxjsCcYBi2ecl/MaLzt1/xqNbYUbBCtAFaHqZmV5jTgOgRacspdzC3MRBraPwJv8iJwYyhDrOIFaAJqQQP4VlwmIve/mYhRmet+b0LOIM3IY3osAjqTkH4o7PDThBi7aID6KJCNsrJHo4O0G0wryczS+r/LSR1MW1wZZrjv16At3RejbK0DrmehCbmGHIBrvszVdRqSNcxD7T8CgbK9qK2OEq89qyTosxqCOLLtSFeWif3tJJiwqtFgPJ3AeWEbcny6FwHik0PBhngLPcMr0DP4BAr51Up8QoRq5GwRlxDhYC4Tq2N+lyK2dSx6nlYNdPitSBnKCLSug8q6DhZwTSAHytWBpwK1UzvpQWVfAOagActczD0j2Xa3PBnQRubdLf+/E8Oxrn01o3G2T/OrVeKNgg2yFcDqMDYHWN+KGMwDxIfWKUGTswF+bm+2iV4kY6hFLNUFSGN03P3ciwOu1nLQGIoRKPDgdQ4aqDchkOsdqvxW8xQ0KaQ4/CBQW0E8iA0D2ThWtheQjalPCekZgkloYp+Lts53o4k2TqhvEPCbh0Dc08ixbNCAqzdjUhhvD0S3Eehet8VEAvD9ugIxj2uQ/KOT5KyR76cJ7r5TEYN5EjGYDTjW0v3d3y3LPm1TxtR1NfBEmA12z0UtvSMWjEeA8wjxCREyAlljmI5A6xK0uPnTYCQ7iJQhzLouQn21kwC87h4ogOGA6xloB2MBei7XI1kN9M+Bp4Rk0pqkEpxhCyyTWoQFjduCD/9eQna/gaPAseHOgg6kOcCa2/xaAKpDZgWwOszNSQKWI4/wEsSUuZBSlKIX7HFgrb3Z5rw14QbB+WjCX0IAPuoQGOkBrqHjPYjxALacAEBtRizXZFK3mytIdfbZhYKke9bXA6QooBjvzo0DsYmAbExdL0ZM6h5X5ibiQW41wQRRTBBtYD0COT0Dfz4cABKUfySpTltTEPDe7D82SL8a7tczkO5wNfB8H4FhKZKSXIzarhs9i8dRO/q4nUcIGPtctHqd9M/hYzJ6fuej/nmILAH/HZCtIX7xFAdk/TPY5Cd550h3EYpx24gkAk8P9sLGlaUMLbI861pGiHVF7dRXJ510ANNnA6pCi4JqxFZtdZ8WkoNK/3vHyxlY5mJOn5xtC96zoK1k2YLnz5AFHUhzkoBk82th639IrQBWXyZmVpoKNBGNQ9vDJ9DLs9HebPOyBWcMI9CLuwKB1Z0IlMwiAK5PWktT5LyxBMB1Lpq0thGA161oYvPpRz0LW4uYXC8h2IXYoJOR62diZKNANiwviM0CFVPXWqT3XG0t+0LHlBBMJN7Z5wzXNgdQHL+TaDLpJLvD2FGgJV8TiQMnMwjafaYrkwevm6zlUJK65njfUoJwWEuRs1wjaotxpPar79te/Rq6Xji0Tn9B1EiC56uMIPqD76tMwDf8dztBKB2/cKlBfV+D+jIMZJvQQmupO/YBJBHoU3gwtxWeq4Yy+l0tgTNfHQI7+xEz7vV6SRcF6QBmCrB0z5qXCsxDDoReKjCgjmHDxVzfhbWgmdjQIjIDz7AWtBAqaYDM6J2Jn18LXv/DwgpgtWCxZgwTEbg5DzFmu6EHpBwkYFybYs71YaU8gJ2C2Lce9tVajjtWIcrATkLsbgoLa9OkN00DZD1DO4Le2lj/6QGyrq7nu08TQSrQ2EHKGOoINK51aBv4BXefMWRmSioQuMvqrBDd4s9mbpKMSjY6CBYNm9yhieua4J6lBOGwFqP+eha1hdc2+349QiScVrp+7a85ADwVscErUJs+i8BTNDxQLtrITgLHwxL0TvjMXqMQwO12PyvRc78eAcQWUoOb++w7cfrMIvrvBR7+XydadHrWtYIgNNb6pGHUcjEHXM9A78l8AuD67EDcb6DNjVfZnEKr0HNwnGQOSW0FFrRgBctuBbBasIzmANBiNOEvQBP+XsTanIkYq7TA1V2jlFSnrVkIkHoQtTkkMyhCMoMwgJ2GQFcKUwc0Zhro3eQSl2FpPAISUQDbhFiz011dn0FgbmMGhraWIKpAHdK4rgNeimNCHFvrA19nchjzbG02x4dmxNami3k4nlTdqw8BtQUBohkISGStazYLAddlqA13ubZ4EgG1vPRrH8oVfoYXIvD4lLtnrg48IxB7W+l+jiDYLuxGYNTlImckeu7qEEA+iRYqnrk96erfgt6HFsR+tiBmp6+OPyezsXDOqdAD1zkIVPsIA7vyDaCGK3B1z4Znz7M5JHkWNNvuybECC1qwguXXCmC1YInN6fPOQU5Z5Wg7uRHpKJeSALi664QZQA9gOwlSlW5GelbPfBoCls5v8U5FgGEXqY5ce5M4DTggm05aUIkmnVHu7w4E5O4BtiYEruMInLNigWuW8hkEhJLo2SpJZWszbSuOIJV5HYcWH0WurieAVSjt6cFcyhwpfylyYFiGQEoPcPVsaoJ+bUD6xwOIlS2h/x7i5WibfrwrqperRB3FcmEwO7MsmorQwu5StMuw3tVvFAKz9a48x1EfHUH92UKg+SzJsa7dOdSnw91/Clq8lCCN63MIvB4mAQBOam43xEsF5qP291KBfgPXUPzTbAvCMQQsaBKHpCGNhFGwgp3KVgCrLxNzma3moomtAk00+8mjZjVxWYIwSyuAs9HE+yiaWJcg4HqYALhmFKaHGMAweK1E7J8HrztjYqWOpHfc0HEI4ERlBInbKAJkxyE2bjmaWNuQs9IzBEDKfw6HAHYtgVRgPAHjuiHfrIuL2BBNU5gO2HYT2YZEbV3t6joFbU1XuHr+DmkvMzqQOcY4HTgcSRBuaba7twejxJw3ErGRo93fI9zPIwRxaPej9g878CQBmF0u1q+XCVxA8AyvRmB6wJzljGEqiiKwFD0T91vLTgdoa4h3MKxFfRUXu7gxJhSbIXdwG/67Br3fk11Z2tz9vRNdvoLVtyEWOhFwdW0UBpyZFnGQICYoktsMujNcwYaXGY0x8fNrQbM6LKwAVoe5uWgAZxN4K7YjFtLr5TpRrMk1fYkG0O/ymZ7JZgViZdahSb+cwAEnMXANXbeaVPA6DsX59Ozr1jiHHVcer4P1bN0kNDGFt5t3oYkq8Qvgrr0cJVeYh7ZOD0AP2B5JAKbCn04kgxhw4Jql/AYNxGMJspHVIDA0FgHWscghZ5z73W9/NqJ224PY1/AEX4LaoI3snt6dSA4wAzmtNSDg/zRBEoQ2xGL1LE4GoV/9MzwTseGrge0DGPppFEF0hUMoisBTaaQjHsjG7QLUIhY2TpfdC8j2oZyl6P1bjKQdY3DpggkcMPvqAFbhzvf9XIoWKfWuvi0ELLMf71oI2OcjqO38p8m1weGXU8KCgg2duWgAyebXQjSAIbUCWB3GlmOc1SLgZ0njrA6EuagA3nmnC034jyNwshwB1yMEwPVADtcegVg5D16nImYt7LQVm23JTfb19NZLdhNx+AEOJAEorq4+7amv65PQo5ONfjyQbUETvo9k8AQKs/RiFKg4cOlZzlyYsSQAIZundweBE9F0xBLPd/U4hkBrszs2k44vquXrAbmOjT0NPRunu2uuQ6AtSerZwerXxwbQEcxLBC5Bz8SDwMNJM4elAbJeo+2BbFzItz4BWedc6OO6zkOLDR8ea0doZyGO7Y9jQqvRQqcVLYJ89rUuAqZ/grvPVvczLs1p+Kel79ENYo87leOR/rlajnFWNb8W4qwOmRXA6jA1B1SvR3rC3DJsDCFghR6QNQdN+GciMLkaTWizCRjXo/QBuLp7lCIQ5bWXsxEoCuteD2bQlxo0UUaBziikgQ07/OxJN1lF6noWsB2B1q1oZe4nUO9s47d5axGDOc39XYTYoUa01erj/aVztOnrRNze14k3VNcrECsYvqfXlx5CgGMUyfSB0YxjswlSiiYGrpEy5rtfz0TP0yModuuAsOHGMAWB1rOQI+OfrGVHP67ngWycg2EdvYFsT+SMOCAbYuZ9f9agCX8hAq6jUX8eR8/tERI4JKULaRa6bwVazCxz99qMno2n4zSuWSQpfQmHVk7gIJcI3Mb8P60kJVPdCzYw5oBq3+bXAmAdEiuA1RzNGHMx8GNr7ZQEx94F/Mxa+4Oc7qGt//7lLs6TJMAYcwswx1p7XYJjvw/sttZ+JvhfjxxgBXrZH0eT/j4EBjzj2mfg6u5ThLaJw9IBS2qygj0hvWLYWSfqfDMFAZxJrsw1BAG5m93vbdArFiYEzjsVyHlnI0EM0nSTWZc7ZylircYh0Of1mGFpQTgU16Gh0ttF+nUaAn/NCASNR4DQt/sWa2lL6Hnt2bYad2w1qq/XCTeQ6gSTSHPowqn5fvUgdjxq02ic36hWMu4ZXm0te3JossTmtNheInAESQSezCdIdn0xFrWBXzR5acV4Ava93f1u0PPut+bjgCfu/OnuensJIgzsyAcwiwGuWwiA64ClvQ0B4HwA33B4snwB30TOfgXr2frv3/xakAQMup2yYNUYcyHwZbSd1YW8Xz9qrV2T5byLSQhW+1y2leY1wDl008CX+AJFdHATtyQ8fRLwuL3Z3pWXsvQTrKZ+z3g04Z+PJrhHUDrQNgQwlyFWqRnpBtehQSGTF3imiaGOICi69/JvQcyP17hFB/24iaGDADjVuuvWuXLuQGzqVvf7EQeIo3X1qUCzeju7rWjvnDUJgd7drtweDI53ZTpIvF5x0IBsTF3XunJNQYuGaa6M4VBlGbfVQzEta5Ce9CwETlpR/Xya3zBbm8mTu1dMS8fOTyKVhZ2CGMdotrV+92uu5gDlEsS21gMPAw8lkSSEoklkc7ircsc1Rz4+i0+J+94nSBiL2judtKDd3b+EQOu6CPXTeiQZeKGvyRIidSwnCIc1aMA1X+bayCfD6E8WsUwAuL8OcH82ANgYsx2op7gYiouL6e7u5uyzH+W2237P9ddfx54902ltreKeez7NZZcFkVAuueSNrF17NidPjmDkyJMsXvwb+/DD7xqiapyydkqCVWPMGMSk3AjcgQaMi4B91tpns5x7MQMIVp3X/6eA/axmJvfyYSzFvI4vsyzRlqDX2HwxH1ECcgerpQ3Q/s9kH2TnIIZkBoH3/hH3vWd6JqNJc7/73ocX6usAXEaQRWsOAgA7CdjXLUkdMxyQGEfvsEuG3nFDfQ77RYhlWo2cq5IwgmHgOgFtD69FTKMhfUIED2TjQMWAAFnXJgsRmAvXdRNqI894z0aLhh7wSoLYqm5yX4jaYgli7p4EXnKH5CNb0DH0DE52ZfZsbF77NVczhskItC5H7fW0K2umOmfKqhb++3jSMocY2biwb3XEA9lGVxafCnY+eufDrGu/2swBV8+4nsbLDLjmy5xWOJ2mPVfg63/PR4KKKIM86ADYGLOd8eP/hv37z0VziiRA69aN5rbbzuL883fxoQ/d1Aus/uY39ZxzzmEmTWrn0UdrecMbPkZb24ftkSM/H8zyn+p2qoLV5cC91trqmO/K0ED6Smvtc+5/4xF7Nh1NTD+21k4xxtwEnG2tvTZ0/r+idv1bY8wD7tjvGmNmA99Bk6wF/gh80FqbosczK80ZwFuAHXyLd9JNCV2UUsFRbuCnANzFcp7n1XyCW3tOvINL2c8CPsw3aGYu32Y+LZyPmKjvALdaa7uNMe8CbkAxUv8aio7Cwk/B86uAcvjibPjiP0PLAqh5EcY3QPsY2PhNoAJO+1vYMQ86S2HyPvjGH+CqZn136ZVQ3wz//SBwEr48HW57FRyuhrq9cOv34R2bSR28DAIvi3R/1qBJvwFtQU4hlXH1UoH9Sfs7nbktxVkEutfpaHLtyfiUi2ONY7Oq6B1OawxB5IBRCPxYxCyvziFCQhi4TkTb4uuQc1Y0rFcpgcd/FFSMoTeQ9fKCvABZt5V9NgKuY1Bos9XW0ujayUs2fNsbeks20pbDAdcFCLx54OrjuB5Oc045ycIexeVh7yQIq1WFAFs5YtN9v051t8q1Xw1iLrPFBPXZkarQguQoAuvPooVcyrZ8rhnQ+msOyHoZTCYgexCxtjXoOS4iiOm6PqlzWYZyRIHrVrTAO6WAa74sAoCzgdtswNf/XkIeHeBIAICNMdu59tov8ItfzIAY4qe1tYiRI2/vBVbD9sgj1bzpTR+ntvbH9rnn/i5zyxUsn1Yy1AUYItsIdBljfgD8DHjMWnsYwFrbboz5GXAdcJM7/q+A+6y1jcaY8HV+BtxsjBltrT1mjCkG3gy8IeaeBvhn5Pk9Bvgf4Bbgo5Hj6oF2WihjP2dxEd+hg1Ke4DrauIOyom6mXNrOmnsnsmbBGdSPPUJXWQk7Hnsls6c/xfrTzmTVA6+B8nZ4bCVsrYVrPwLXLTOG5+FTy+DL58NNXXDLT+Cm+fC970DXl6H4JHzjRliyGX79Ebh9KtzySZj+KD3xFcf9Hr79QahtgVf+Hbz+Imi/UN/dXwV2t7X//RljzFIEyK8G1sKe6+CdK+Gd8621UYeKe6HHwWQF8B4EPnzcy43G8HMC56y/N4Zj9BO4OhZ1vft4ADQdgafzgOuMoYVUEJWWAXT/9yF1nvP/d5EMPKM7FQGKWcDbgRuNYQdwP/DHdEDLXf8wcB9wXwi4XgW8x5gexvVFa+l0DjINBLFMe8wB2bCcYDLSy44DqozhIPFpag8mBbIOFDwAPBDq15uMYR8Cc09ay273vUEspQevlwBjjGErQbtvDzv9OHD+PPB8CLguA17r7tELuDpHnkay6M1MkNs9Djwa5DjnQ9ssJoia4JM4nA+UGcMutPh6hMDpLF2g+g7iGdA9pOpCW5wcoQgBsle5+z1EKOHCUJh7NnwYqQ3h70IJIMI7AOWoXlNQwoTXAKOMYQ9aiK1Bdcpph8j181pgbQS4vtk9U95xrwBcE5jTSre6T17MPb9Jwe1ItLDJJpUoMSYTuB01kvZLXslDFHGUUZTTQSmdlNFJEd20F6VM7il2zTVX8rvfvYbOznJqag6zcuXj+WqLgiWzU5JZBTDGLERg9DK0vfp74L3W2v3GmHOBXwDTrbXWGLMW+LK19o6oDMAYswr4trX2h8aYy4H/sNbOdt894I79bsz9rwFuttYuTfn/SnM1cAa/YxZP8WZu4hN0UMTX+Crn8X1OX7KXNTeuZNv3DOXjLZNf20nb3i7Wf6mCsz53iKLiTtZ8Yjyzbt3NlptcOI4v1sIv62DtGvhKPXx9Nuz5A9CluaL6TbDxDjnwLn0TNP4X1Dim7pWvgiIL99/fuxUbymDyu6Dh+zCxHS67GCYchx+vgddeCDVt8KO1wfET3wJffQjevjdb96DBaQKayJsQcApPxGPQhFeHJnofY/FElmvnapWkAgtDZAu1j9f1bNpoVE+vQW1B9fBhro5DZm9pJG+oQ+1RSRBV4DDkvNXmncZ8alH/qXD3OYnauM39PBH6O5sl6VdvpfTWVUYjCcQ5HPloAD7iQivBs5EvptFrDcsI2qmSoN1GuZ+Vrh7FyEmpjcBT3meo8iGbvDOTj/OYi1Ui7a13zGtw1385WRmqxwj0jNSgfi9HbXQU1c23n//ksgsQjo4wFrWRf9cKoalePlaE3qm4T2nMx/1/8mKKj5RQUhKMiud/8QSLb9Qi2HbAN8uq+OraH/L3yx7pddeuLvjRj6Zy550XcOutt9v5838xsNUsWNhOVWYVa+2LwLsAjDELgB8DXwf+ylr7uDGmFbjYGLMXMT7/m+ZS/42Y1x8Cb3N/9zJjTD3wr0gbOxq9cHEsWhtQwibOZwJrKaWbUroZz1Ns4Hwuf+Z2Lv/k3/LHBa/nxVUXMv1VRzj4xFiqF3dQVA6dhyy2G8pqtqH85/ugaypsfiPwfXjuQjSR3g2UQ1UF8CbYexD2VkHlSajpoGc1WrMfGkYBm+BkO1x1Faw7C1pHg3Gv/F33wnu2wYsTYVsD8FV4cC4cPw/a6pZyAAAgAElEQVR+PDtUtzK47qfWvv2nGTsnpd2oIoh7adB28qM+nFEoxJAPh3WcgHHdl/Q+CcviwZbfup6LgNEWAvY1hQHM8fpVKCzUZWiiPogm0U56O/zsi2M5XTKFpag9JqMt4nVoe7VfE7JjMNNJC6oQmIjTKzZFy5qtX2PuXY7YaN/uM9y1w05bRyLnhBnXJQgY+2fjcOTYMDjOJBXwEoEkDl3HHQvq+/UqAgDtI1J4wNqOwHcRmmCj+eZjdaeRxAmVrj0vcdf9k6vryxaIheLenoOkQp6Bbkftd4L0CRHSLqDc87QYPRuLkBOjZ1z77fxVsJ7xsj8OZHHflREs7nLU0Tb9lrf9w0+49Z9K6GIPlXQygg5G0EUxltaOIr7J7Sw5nLIr0GPFxfCud+3i3nu7uPbaN/PccwWwOoh2yoLVsFlrNzhP9veH/v0DJAXYB/zS2rTOSr8AvmaMmYK2/89Pc9ytaD13urX2kGNW/z3muP3spZYjLOAYM/gCZwHQRRmWUvYzivrmFq584lc8x3lM+Lvv8HTRBzht6TpG762ktWoKpgiayqehF7wT7CiYZoCrYe4UWFXuyrITfJiof/o2PHYYTr4F5n0cNnbq/Hv/E4oPAL+FS6+FJxfAv30Q3nUYnq+BpXdAVR1QAvV1MKEc+EtYPhqmPA4/XuvKUYommLOM4TRy0yntAX6EJBJLgNcZw2a09fmMtYqtGpEKfMwYWgnASTY2N6u5bf6D7vMYgDGMdvecC1wLTDSG3aQ6bSXaPrOWo8AdxvALlElphavLXuTQc8LXH6g2hgZSwy7tcYDtfuD+EHB9NfBuY3gObY/2Cbi6c/a6T4o5YBiWFkx0ZR2PpAUeyIZBxVNIAjLd1fVmt027GvVrTxnd1u6L7uPv5522zgHeZgwnSI2zewBpzQ+h5+B01xYfcduFjQj0eZb0GL2B4U56h8rKaTGSoV8bXPlaETM6DS1+9iK27zBafLUh1nE6qQB6tDE9qVDD5X7I9cXrgXcaw5+Ae1w5XlbmFhV3AXe5Pp+FQOZi1Fa7UHs1Q49OejwwzrVNuqgFbbixwQHXRahPrjWmB7g+3V/97MvFHLDsD4iM+64MjflJnbGaM3zX8+mrY5Yx7R2ceG4TU5hBf3YerC2loaGuz+cXrE92SoJVx6S+Fvi5tXa3MWYqYkcfCx32Y6SbOoaCB8ea07E+APwXsM0xtnHmA2YfNcZMBj6R5rhNPMoiRrCf6/hayjc/5CYe5myu5X7K6aKedTzAtXR2V3DVut9Suq6b9hEV7Cj/EHs/3wpXvQSNk+E7Z8DfuNSIpghGjkITfAs921+3fgRWHIPpe2HSr+Dgt2HlOGi9Asp+B2yGR9yE+N674b1dwFd07rW/s9ZuNuapS1Ccyi8b8+CfgF/DTz4FPAFzR0LTZfDxNfDpDrJ7plbFfOd/b0Nsy5uACqdx20pqPNMt7hqXI03ncQR0nkMgId2g2J7LYOgms6fdxzM2MxF4vQx4rzE0Eni9b8oW5N7dfyuw1RjuQIDzAsSUrgG+7erqdbAzEGM/0RiaSGVgn7A2LXD1jGu/UnK6MneihV0vNjsGyNajkEPjEOA4jEDEWtRnbwb+2hgeBlZZy67I9UrdcRBs7+9GYG4J0klPQs/LQbTY2YGA5xOIcax2x89C7fQY0kce6m9bpLM0/boC9WO4X30kAh+1YiICr7sREPd9e5zA4SvKAo9wdS9HGvDPuMXN8wggpwvSnzMYHyxzz9hG9/mVY10XIeB6AWq754F7EFPqM8X5TyYg2wj8AfkhzGUYA9cYYJmPDHdxwDITwDya4bs+jaWDYg89tAe9byWEpR9NTSW0txcB0NJSQlNTCXV1nXR0GG644UI+/el1zJnTyve+N5s771xGV9fNQ1L+U9hOSc2qA4u3oQGuGjnE/D/gE9ba5tBx96LJYqZ1DRUXusoYcz2SAXzSWvuV0P8fIIgGsMgdMx+Blh8BH4sLgWXKzS5O5zmu5jcpX/yMV7OL5T1RAB5lDn/kE0zhgZ5IATCJBl7g27weuAKK2mH5PbBqPZSeCZ+bBv89F168H01mJ8D8PTz6EzhvHzxcBNdfAw2TYeo2mHYQOsbCqnth31F45dWwdT4UH4VFX4Mnvwylc61t3xyNs2qMuRL4HBr8TwCrgPdYa/My6LtBeyICauejLcJnkXNHN6mD8nS0JTwXbbfuRduH7aRnA7J5nybZiupA4MxLB+a4tvDM6yaSpwKtI0hnewI57jzhty0dKJxAauamqe7YcMilwwhQe6lAXoFrLubKXIvaaBrqp8kIgM9G4KsdgeAm1HcdCGAcIfM2eTGp0oGxCCz6tt+GnhMvFTjTXdc7Z8V7BOfZ8tCv4ZBah+KeJWMYg5yYLkN1Xo8WbT4lalj64MFINilC63ABI85jfTZBXNcagriuz4cdz0JRO6JSFi9vaSPQsvrMcxPRuPI4kgrkkg7Xa5vzBTD9LlVfPObTjVnDD1jm2WLjrM6e/SIbNtyOMd/qdYK176ejw7BgwYfZs2cmXV3FVFcfZ8GCO1m16t32VARPQ2inJFhNasaY7wEN6YLcD9h9ByiDlWP9fKzDJQS5w7sRE+O3QduRdq4ODbS7EVjwzj7FpDJlZfTWjHm24uhgDIJuApqPmKozEIv6CAJg3ZHjZiFwsgxN+F4q0JBGZ5UrSxGns+ogmBi8PtKnrASxf7sQA+i3/DNNMDOy1TVU31pSY8FOJejX8IRcRarGtd/A1RjKyBwmKqwFbSMVEHlAMA2FIJqBtvQPo/Y8Qrxe8WCczMGF0wpnOJtMwFZuRuB1KgqHdaa7rn82Bhy4pnmGV6Mg+un6NRrn1/erl4Z4fXNX6LzFKIrAFLSAfDCiAY86FaaL41pOb0AbC3CHYBFUTcC6LkALcx/XdWsavbcHlvUEyUQmojFuAsHiaQR6Bnei97UZPY8+xFMUWCbVVyYFn3/2wHIgrZDB6uVpBbCaxowxM9DW7lJr7bZBv/9KcxqBZjbJC1WBz118s82au9hNSuMJmIi5aNA9hpw/6tDAuMv9rwuBmmkIYHm95C4EENqJj7HogWwcmB0QIOscTZajSX8sLsVrNMRVBLieBYGOzdreIZ/6UZ50ANh/xrlyzESAwzsrHUaArAVNetHzOlC/eA/7UiR/2IAG4kyTY4k7zy86Jrjfi1A/l7q2uA9tgfaADVcfH4Ypm0NSCemD0acE48+mo3UhwHzs1hoE5ra6e4Sdvsa6dovTK/YA2ZBkwwPYma7dN7l2NOi9ONO152AC1xHoGb6ADM9wzHmjSV2UxL2vuxCgHYucsc5BLOSfEJBL9E6GnNLSxYRNEpor+my0JNxlCIc+yrZ4rHRtMQsx9z5hho9NizsvGvszDkgWuevNdp/J7v+tqI33oAXUHoLQcQeszXuUkoL1w4wWv32bX12ow4INrhXAaowZYz4HfAz4Z2vtF4asHAKsb0XMpwtD1ct8xioD/DwJUI29lxgwz7ouRmBlNxqES9GkV46LeYkAVAmBbnIiGvzDDj+70CTlsypFvcgriAexeQOyxjARgZvz3L1WA2ujnsIOgM1EAGHAgGvCMo8kcNqag9rYO235TysBAPafKaieS1H/bEB95Sf2bNlrRqKJ3Osgx6MFSBGpzkcd7m8PNnxsWR9j0zuhNaI0pQOR0Sltv7pt8xrig9PHAVn/DB5CjFqYffX655OuLWYy+MA10TOc4fxyemfkmoTquwtN2OMQq9uMHPTW5IsNdcDSL4zqEDs11v2v2v3u2fUK9Hy1EyzG/KcbOYYa97sPmZaLLOckem88eJ2B2vRZ5KOwJZfn1QF2H1XgLPRs7UFt68PrjXf1iR3rCkB2aMwB1tzm1wJQHTIrgNVhbk4SsBw4F704fgD3MeU6EeuyNm7rv8/3NT2s62I0cfstr1Y0scxFk812xERtRTKBiaQyO+301tUddCF9KogPgxQHZMNB6o/kCmSdpm0RYqrmo4npEeTwZCPHeuDqpQI9wBXYO9hbcG4hMQO1+VwCBrAnWUHYMShU1xVoC/QlpN07SPZ0pMcIAoD7SX4sWsjMQf3V7u6/E4HVFgJnvTjpRCd93/KMBRweUMTUNW2/ho6vJV6vWOPqEwYTXa6N6tACwstlytx1tiHHsCetpSl6v3xarnVNcC2vE45mW6tBY8salNhhH/3zEC8muYbSh6QKx7ItJ4j162PajiZzOtnwz7RsrQPSPoPeYtSnG5Bc4IVszpCRa4WB62L0fqxDUS8gfsE+nkCDHRe1IG+B+AvW25wkINn8Wtj6H1IrgNWXiZmVpgIBhnFowD6BXp6N9ua0YbXyc28NwvMJJAPlCPxsRi/3FASipiBWIZzxqYLejiEViCkMA9h9kZiRcUDWM7QjiM+wdIAEQNZtlZ6LgGsZYqoejfMEjwGuJwmAa8NQaMdCE+wSYCF6LooQgGwmiOPp04KOQZNwF+q3p0jNjOQn9rYEbTcGMbcXuXsfRIuUYgK9ZEq/urJkY3Vz1Qh30hv8gBZL0909n0fOYwfJDpLa3DkeyEZ3AzyQPebqOgKxgvXu/EoEXP8EPDYIwHU0csi6yN37KVfXNvrXriPczzHofR6HnqdtaGG6D21t76e3rjpdu+Y9D7x7L0eQPT1tlatbeCcgkxRhBAFwXYjeqbDWNS4RRVz5SgnCYZ2O3gfvuBd19hpN/II9CmRTxrwCkM2fGT0j8fNrbrrWgg2QFcBqwXI2x7r6AX0OAijPIwavhGALdRaSBoQDtx80piePevhThybCsIRgd9xWp9vWjAMU49HEnU5akAJk3UQxDTFVZ7t7P0JEoxk53gPXs9BEsg4xa/0Grg6EjiaZQ1IRqZMsSEfqt1sNYoheQP2yE3rSnmata8LyjkF6zmUIIG5CQKYNbTPn1K853NcH1M8Ewqa7sp2GnsGtaKIPnxc9p4v0DGA7vTNWeU/6CdDTd9Voq3oXYiXvsJatJjW/eq7APd13RQTgtN59mlB/+52OXD3EOyPvSAXStV7t6tyAFgo15LlfB8qcLCQa9SAO4FahuoVBrXeqmeB+Xw88iWQYaVMjR+6fCLjGnBcHZMNjXhfxC/YCkC3Yn50VwGrB+mVuIA5rXStwW2jIAaaOVA1gJ6mB2/c6SUAZ0tWFWdhJSAOWIiPIMsB7h6U4liIKZMO/H0PgZgUCOusQmNuRZjvZoK15z7h64LoOBee3oeM8U5XNIWkUvVOKpmOBMgbHdt7Qvs399v02As3xaARas9Y1iTmmz2fOmo76fy0CTvX0s1/7au75zNqvIQAc1u6ORn0S/n2k+/jUoP5nNal9Wk3gqNaNgGAzAs7NoY9Pt+qlF8dDP4+j59J/vAOk12p2RepQitj2CzLVtY/taBDwf5W79mPoHa5iCPp1ICzE1qZjacejHY0Z6JluRnXcjHTNR4l5d11CC3+PUtSOHrjuJgFwTVPW0aT3B+iity57P5IW9DVFdMEKNmRWAKsFy6sZwzgC1nUu2m724HUnGkg9iJqLJoctBOB1Z8hbu4h4XV0XvR25GhNsYacDsuMQsGhCA3ur+/9MNPHcBzwe2b4rInVSm4fY1kUI9DS5c4vcKUk8oZsHwhnJlbcSMd2+3acQZKMahdr4OJJEPN4fgJEGuK5D8S7bI/3qHX6i/erDL2XsV8eaJdVQ1qD+WYiY513Q410fPs8zlkljVGbS41qUavVKBCRHEcQxbSdwRGshyHfvtZvhCBDhunSnuW/4fz7GrHcSe9J9DhGjEU66ve3avB64GDl8bUDSh82uTfPSr8Pd3HO3GOkdz0DM6wH03jdDSvrebuIXoC1o7JmJ+mo7gf65z9nGQtE60kkLukgjoyoA2YINVyuA1YINmDkWYS4B6zoCbaM9j+J4Hg8xgB7AjkOOXJ593RphJgxiraIAdiS99ZJ7s4VDCl3XA9kpCGBNR/rHue76o9AEsx9NNt1oYvJ/hyejke78OQgAPkGEcR1qc30zg1TJhncqqEblvRsBzMRAJuY+oxGzuRxNyi+hZ2ArAoVhkOnjwfoYl54NbyFw/DpBsCVf7m7TlyDoXsoyDz1njyDd54mkz0yu5kD6PLStfpGrg0GsvI9j7B2MatCzFKdXPIT6Kqmzk49T6x3z9iAGNHysB8C5gHFLsEhrAx5EjOtxBIA7s7yve0hdcDYMVNsPtDlJzGlonDsNta/Xuu4hPtRbWIowFo09XgbUSJBxbx+949b2SW6RAch6htZ7xsdFLSgA2YINmRXA6svEzEozAoGKejS5tKHJa8AdrPJlLlOPd9KaBz3pH59HjKp18SVnE4CoqWiwDutee2WPceGefBgtPzGOQ220GzFYRxHgSbctH2ZBwro1HyZqvit7rStTC5qwPSMbZSsOu7J4qUAXgVRg93ABrtADpCajNl+ItpKnICD1JMo3v5m+ay0rEMCqQkBsNJrEt6HFiddXRoGRdxSrJYgJW40Y4e0EaVR39yUEkNNkLkMygfHI83f1QIcrc+09l1RPZM+mjcQttgjypVcTAAqfzCNOr9iYToMcU9cnUOzWhgwMdVJHrWno/agLlSsO7IaBrpdb+PBVo9x5ftG5w32OEjDAwx7Mur6dQbBIH0+gH38+ndbV6ZpHo/fDL/AWondjP2qHcoJxKpNMqCexRtLdmhCQTSejssQnftnPMMpm1hczIlLi59eCg9WwsAJYHebmQledTTChtSPdZwlBaI0ngDX5DF010OaYvTkEA/pI3GCOY11Dx80gYF9no4F4E247EbVBHPCsRizdeIL2Knfn++3IbSjX+B4i+rIMZa8nSI95DDGFewniKnoN2SgEZD2g8NvfMxHQ7TdwjWgt++rAE3dctytvDQIiE93/thHkl8+UaSsuT3g42oNnXJe59ghLBTL2gXsmJpHK1k1GfRFm6naRQ7zeSL8eQZKINQPtrBICrsuQfOI4WgydQM/RNPe3j7KxBS2e4vSKdagd0ukVOwayrs758mIkEdiMGOtdJHv+Kl19JoTqUoPebx9K7ThB1Iu+SDTivusaSKDlnnUvjToNgUi/SN+SCYC7RYTXuJ6Bxql1BPE+MzmMpdPBpwO2aXXwbpwZSXppgQeycfKC48MVyLrQVcnm10LoqiG1AlgdxpZjUoAi4Gd9TQow1OZY10VoQF6EJtDdBCFy/EBcjYCJ3zKrRJPObgIHIu/sEI6z6ONyFqH2iobT8h7cYRnBgSx6ySI0kaxwP59Hk/OGkNNYHamAYgICWpMI0lq2IRDyort3eJs7CfiMahiTxjRN+11069/VdTnwF2jb9yQC3E8TJCrY0pftSRcdwmtcZ6KJeC0JgGukfEn7tTET2+Su5dnlXv2aa/1yMXfvOQQRJ46iNj6AGNXwgs2D100EsYuLEEsZByg8kA0Dikb0DC5AzGhe6upkNecjyUMXSjTwuLW053idaL/OQBKbYleHAwRJKE7QO1FGEqlEnEa5r8A3NqpCpD4zCMDrBCSNeR49773C54XOjQLXBgLnrNh4sAkjjPjfIbuu3ssQoimsw0A2uoiC9BFahgzI5pgUQPNrISnAkFkBrPbRjDHbgRustffm6XovAB+01j4APUD1esTY5T3d6mBaJCZiptScPu+2D7rut8RAE/JzaOLehwbMk+7adQRe73PceVsJJvIdWdgLv9Uc1dVVoQnRT+zeaSqaA7zC1WGh+1Qi8LwXDYRx4ZE6CIKf1yLwOsH9fRyBKs8cH3B13ud+92xmLLAcaHOSi3OAV6KFw34EsP0WcFiykZOjlgOunnGdhSaHdcBzSYFr6Frhfg07/HgJQtjhpyFNuDJf1wvQhPwokgkMaBxVd+8ocG3GOeBAjx7cy2UswaJhk6tPd8z1okDWA4o61Ic+vnE3quu9wMZcQWbongYB4Veh/lwNPGD7kfkrH/0auZ5PQJAU3Cb5LgyAM4Fbv9syxX2a0aL1BbTjE07O0QOAXZkXEjh4ZQWu2cwtMJKkUA6ztdmkCG0EjHmcvMCQJiECCVPv9qmuAqp9m18LgHVI7JQBq1FwaYx5K3A7cI219sEs534f2G2t/Uy66+W1rNr6/zACR7kwVT4m4L97SYAx5hbgH3CDHXrR/t5a+2i/y5kavzDdwOZ/Zso2E/77eMwkW0vARMxHA4zfRtvhDgt7TtcRZFyahQbFgwhINSEtaTjuZboJx1/Xx9b0IYsOo8HUB0gPawvbXH0XuU8DYqrWkMXbPxT39RzgQnevPe5+flLzec3j9IqHBiqaQIYy+9it56L22IpAz3TEALYQgNdNQFMO2/J5A66R61YS6Jv9px61Z4qMILwtHqrrOajPHwGe6k9ZcihzHHD1MhLPuvpID+EFm2/37VkWbB7IekCxANXzNAL5x3Oo3imh35ICWbd7cgliXDehKAIb8wVI+tqvA2Fp4upmA74VaNE63dXDpwY+gt6jDuKBbzta1E925zcRAN6mmOPDf+ecsME9K3EOY+my4mUa89sJJCBekx4FsnGsbM5A1s3Z9RjTRWlpGdZali9fzW23/Z7rr7+OPXum09paxT33fJrLLgsWUxdffC3PPLOE48erqK5uobLyZrt9+zdyuXfB+m+nJFg1xrwT+Bfgamvt6gTnfp8BAqvGmBJrbcokYlaa16CJoi9OHpOAx+3N9i53/VuAOdba64wxJcBK4J3W2inx5cGggSObFiqcGSabFqoZTLe11nsHe2DZlyw7I5B+cor7Wenu0eTaq4XeA3MXqU46te74bWhC30jvkD4n44CfA+g+4L3fbp7i7hveat7l2uYMBHBmI0ZsNYpwkC3MlnHXX44ACgiYPO3KGadXHIOAbJxecUCBrGuXuLqeJDXeqyE1w9meJOVyDKcHrrPJE3CNlH/A+zUfZoIMZsuJAFdrFYrLeafPJmj3Ca78YclGVoc01y5LgEsRcN2D3jNLwMgeJ16v2BjXN47BOxexrZZAIpB30J9jv+acxnkgzWldTyNY+LagsWozYo6jTnF+fJyDWFe/WNyD+qOb3uNrulS4fZUTpQBg19fZdtPGoMVVK5FY0gjs+kQefger2pU7NmoBaYCsn7Oxtozw/Lpu3Whuu+0szj9/Fx/60E29wOqVV17N+9+/hte9bj933LGcd7/7rXR0XJEEOxQsf3bKgVX0An8BuNJauzb0/S9QOJkRKOf2jdbaF4wx7wO+gQbVduB+a+3V7nr/DrwDrYT/gEBgm7ve64DPI33SeuAD1tpnQ2W5HXg7YgpHogHoBm7hEe7gLpoYTRHtHGAp5Rzicv6LsxyL+FOuZDsX0sEYyjnEWfyGy3naVcVrbL5ob7ZtHqyCfRdQBe87C75zN9z9F3A5wBi44TXw6yvhRCWctg9+cC8sagCa4QvT4CtvhtYqmH8/7J8Ky/4Id/0W6IbXXgMPvRVO1sCELfDd78OrW4AKMP8G77sTfnUBdBdD4w/g2kvg3jnQXgw1R+FbP4erd9H3wbESTciLXFvuI8S6ZgCcPrSU/7SQCqISx4F0wNI7woRZnWKCifAwApcL3WmPoAk665ZdCLj6qAKGgFXbGZoYSunNTkSBbJwDxMF8AlkXjsynswVXVzQBed2lZwHHEEg2NiMGMNu2bRS4voja4tl8Ap6B7tc8ldEDV8+4HiMCXN1xFQRxV+eg5/8AId1rNslGTL+uRqGqvK40qlcch4BsHDPWiMbT+Qi0zkFt9+BASywS9qv/7B/s3Yo4c/08jcAhdSICrl7r2ktW4ca5BejZWILGRi8VOBy6bl8cMDMxxsWob5OCW88O+9B5Ub1+JWJyPcAtRlKoLjQWFhHsgFWiXbw9CNDvo2fMK/oTdeNupHH/ufo7stPQ2lrEyJG39wKrqVbCGWd8hM2bv2dbW7+U5piCDYCdamB1HdpefbW19pnI9+8BfoFemi8BF1trz3TffZ94ZvUAcA164R4B/tVa+x/GmKXAH1GKwrXAdYjRnG+tPenOPeK+b7LWnugB07dwgF/w76znfF7B7VzEC/yEa2hkPh/niwD8gWUsYjMTaebusnNZ234df7ng61ROgraqUZQ3T2Xd+zay/s1t8I7LoWEc3PsUtLbDexfB/86Bpv+E8g747iT46NXwo5/CpY3wpkth2wTY+GvYPgYWvg1uuQs+8gJ8aAn815Vwwx3wrQfgE6fBt94C//YF+Mtt8Oq/hJfOhsPvBk6CeRYqV8EtN0D9Ufi75XBwJWJpjqKB9Ii1dm9++rgn1auXDIwhNa5rr5BX7jyD2JewBrCIVAeWRAxg5Lo+u0+Y0fEOVaMQsHwBuAtNIFnD8riyTkET0HLSANeY88JANsrKViFmOY6l6DOQdWWdhRjIsxAofQSBSp/4YTSpcXYnIJDgwWtGBnCwgGvknnnv1zyVy5AqFeiJOGEt+yLHlriyh7Xex0mVbMQu2EyQdvgC0vRr6Lhq4vWK4xCT5p+zNleeeeh9vRt4aTCZzki/hnXrDaSysHuyLagG2pxEJhzX9TjBIn1T9JmLAa77CZ6NRGljcyhbGADnSwdcQoi5dbcqCn28934pIn88Wwv48WviBSz45lY+9YYuDrKbKg5TyyEm08RMDlHR2s7oLGD1wIFS5sz5Ipde+kn761/f3u/GKlhiO9XAag3acnqDtTaDdtBUI8ak2lp7NANY/Yy19sfu7y8DY6y1HzDG3I5A6D+Gjn8JeJ+19kF37mettd+LXO8GbsFwB5+mgQl8lNsAeIGJ/JJ/4GY+REt9JQ/+0xfAdmNsF6ark2e/WMWUyw4zftERijtOMGanYfeKHTz97pfg2rPg16+AkpPQMQJKj8NHPw9fWgu0wdRPQslB2PbPwEn4STFctxFOXwzrz4OuD1hrz3dlNGiwXmmt/a4x5i7gl9ba/3TfF6EJcqG1docxxgKXWmv/5L5/FfAfiI1+IlMf5MOMYSxBXNcFaID22bS2pwNhbpKtIRW8VlIcjkIAACAASURBVKMoA2ENYM4TlmO4piKAMwuFTVmMBtxngIfRtvKubEG4I8B1mbtGVuAac50SAiYsysimA7KNSH+aNIZjOfL4vwAtDJ5Ajkq7Yo6bRdDuM9y9wk5b6TyfR6KJeJk73wPX5/oSpSAXS9Cvq1xZsvZrnsoTBq4+HFYscA0dP5FU3WsxqU5bu2P05In6Nc39qun9vE1E7+sEV+Y1iJX3W9kHBkMjHCpnBb3jN09AMqKwI9eg9GuaMhrElPuxbhJiXX1c16bI8YMGXPNlDgCXkRzc+rTItUj7Ww31f0XxsQpKSk3PXtR5XzzJog9YLEV0d8C3y8q4+55Pc3kasLp06bs4eXIczz77AVtSct+AVrpgKVYy1AUYZLsR+AzwXWPMX1uH1I0xxUga8CYCT1gQQ5Ip7V140G9FgwRo4HinMebDoe/LQt8DaQfzCizdlIfuO4J2LKV0UERJWyeH7j5KwxPjaT9cDEBXO7R3VdE+eiTYLorbumgfORaYDJNr4YoD8PsnYZeB154NJ9+EGIxOGLcUXrUT+Lhu9nbgbzrgM1+C+ybCC3XG8C19Z4F5ZfDm643hbJh0Hhy8zJjKb/qCQmcx/Pe/GuO3IFe/1xjeEpz/sUb47Z3QOMqYq7bB9x+D+sFgKQwamC9GQLTcGA4jIHYYsgLPUuAViA0fA1Qa08sjtq8M2no0oC5FaTmLgU5jevLBt6CJ2+tx09lIxLbWAcaYnhivLX0sF9AzES5AHew/FUCZMZwkyFV/gtSUoenAcgXwLuBTxtBBEIIorv0M2mI/D6dvM6aXs14c81qC2vI6oMr1dRPq78GKnpCvfs2HTUPPb51rPx/dIpOjUTkCrV5XWG5Mijb9GKSA11z6NZP5lKXjgdehQakVl93LlT/6vPlncDD61i8EzkRM+khglCtXC4Pbr3FWgnav3gSMdeU6RBCfNtxnfsF7BXo2WlH7e8eswbBi9ykK/Z7Lx5/nJQQlrl64n+5TVs65/3OMK64yNNFBEV0U0YWhC0O3e3Km8ezYBVzOI71Kecklb6ShYTLr1v2QkpIRA9EQBUtvpxpY3Y9e4geBbyLwCvA24PXAZSjYeRUCMP6Bz5V+3gV8wVr7hQzHpLtmG6Ynn3xv23t0FFt/O44r+BeWs4ViY/mKuZlRq55hclkTrbX1lByfRnfRSTQw1UJRMdAJU4/BfzwMl/4F/M0WmNcMYw7D+i7E/jTD1jY49tew99vw6ELY8BbgQ9bS4ZjV18AXfmTt579rTMMM4IfW2p/EFdUY3gcr/tFauzn4723AbRhjxsMf7oAJe8IM9GCZY129XGABmlR9UoJt2RjDCAM4B22LNhLSvfZFtxgK9eO9zr3G1E8qpfR2DNkXE/dwMoFzVjEB47ojj97XJaRqZMPyAr87kU5a0BWp6+kI3K1Gko1MrPdEUnWvJaTqjXdF2qOSQCowB2UT8lKBQclOk49+zWM5ZhE4Z7USsGoZ5Thu69k7bc1F/bCbULICa2mN6dcXkUwgbb9muW8tWmSuQJKDtejZiksZ2kb6hAgD1tehEHrROL/hfvV9m/d+zVKusNZ1Euorr3VtCh1bTMC4nonaby2Sshxy14pjMvujcS1Dz2A6H4VOAkBaCj1hxjzL6hfOle46YVAecfjdew+n3/ctPnNVMUUxz3prRxFf53aWHN7Q67srr7ya555bzIMPfpUpU8YQv0Au2ADaqQZWsdY2GGMuBR40xtxmrf0Y0racRA4olcCtkdP2owE+qX0H+LUx5l60LVaJBtuHrLWxusmUe2nQiLdWF1Kp2ukv77QraLUTKNt1H2f+YJU7ahrTHvsdG65thsf/D5ych0I8TYAVx2DpLvjUAvjVGnj3HvjQxfDbjXDJbnjv5TB1J3xkIVxZDUuWwNf/15gPvATvnwffmQTXX2gMR+Edj8IvP2vMx5rhtnVwo4VvXWht9y/iim6MORsNOk8i5qENhsZ5wW13rQJWuUF6NhrM34bYiBdxkoE4xxO3Ffmi+/iB3msAzwHeZgwnSNW9Zkwy4K5r/XWN4acIVFyAwN+jwLPQs+V8BvBaV96wrm4X0tX9xhh+i4DrMuA9iJnKC3B1ujgf/zXFHJCtJQCv9Qi4jAeqHdPpAcV2tFiajJIOXG8Mj6Ht5P3h67ryNrjPQ+5eYcnGRa49wmGbtlnLamC1A65LkKPQ243hJTQhDyhwzXO/9pnxcuXYAmwxhjvQuLYM+Khj1dICV2tpQf30DPQs2Gaitr8MeK9j8/2i4X+gp65Xk6Ffs5T5IPA/xnAn6rcr0DjyAPA73x4miL8aBrDLcfIWY2gj3sHwQH/73rWrT7LwpP+/i8rgAezpwGtQv+4l1ZmrX/0atci2eRsKO7YRPW8LUX/daAxdSGKxHy0AfISB/WgRdT4w2RjaEQhsQP4WSRynMh3n7zOC+CgB49zvpaSGumokTcSZbNpwY7q6OLhjP0XM6PVlU1MJ7e0iiVpaSmhqKqGuTtd7/euv5PHHz+Huu7/CokXH0bhWyGY1yHaqaVbDcVZnosnux0gC8BPklXoI+EfgB8Bca+1mY8xc5Hw1A3jAWntNzPVuwYWIcn9fCXwODeQnEDB6j7X2WFzYq5BmVdEADlHJB/guAFup5Yfcyj9wI6V080OuYQevxNDNZB7jMNOZzWO8nlWkiQag0FVUAJPh06+Gr3wdnvkanDYWPj4Pvr8UWitg5g74wZ2w3A12/1IFn7sSjo+GBQ9Aw0y46Dfw6/uBKvjAFfDr18LRGhjRDst2w72/BY6CuRV+/XG4ZiPQDG9bAL/6GJycggavPwLvt9b2Z5s67+a8nsOsaxOB80JW1tVdwyBtW1j3WkqqBnBXUobFGCYRxDNtREzVOmtpc6AhrKubghiUg6QyOrvRROA1riVoYl1LHhnXBHXxQDbKitWjybQTba+OR3E9H0a7IQ0JndA8A+jbfTKqe9hp63gIuC5zx72EwNozg8i45qVf0zkP5lAOz7j6Z+MEAXBNFELPLdimkqp79Qu2zQhYzI2rax/KOheN1/NQRIIHrOVAlnM8kI0L+3aSNKGQ8v0sRPo13LdHCdjgRgQeu0iWxS76eynJsm2NJggFOBaF89uAdpkaCBKYTEfvypmubP7Z6NF2GmXsyxSmyv8c7cqQLeZ2M9Cav50gF2e1rKwYa7uxFmbPfpENG27HmG/1OsHa97sTv0VRUSdFRV0YA8YUUVT0eXvixGfzUa6CJbNTBqy+nCyfcVaz3ksTjB+swqFcTpIa7L4L2kdA7dfhX/8A7wmna0wJTI8kDtli641GGrRsGVB8ooChScmn9plFsI1Wg7arvfNC4gxNjgEMxxytIUgR6xnAjAHWXXkWI1ZuLmK5ViMPYBs5Ll2/euDq47XOIwCu65Dz2FC1twey41D5lyJ2bDpBnMkNxEsLYoFsiAEMSzYOETDem1G7nIGA2jwGGbhG+nUeiqfb1371jN3BvvRjBLiehZ6TnIBr6DoTSH3myxCz20Xg1Bdb14T3qEWZ1C5A79KfgBdzuU4IyMY5GI5D41Q4OH14fIL8eLr70E1+S3skAag7gJhOv6PQSOZUr21ARx/aspIgrutid50XkPTigCuTX8ifjsKOeT3scYLEL5libh8Fjg1WhIw4M2K3+ze/KtJHwQbRCmB1GFo+M1j16f4avGuBqfCxv4APHof6CfDhFfDLxbDpRpi4m0C3U0cqW1FB+lzQR61ymPvkA3GANvp3OPlAxsFwoEPKxLCuBwlY1625aNGc93o4cPsUAg2g93xP62FsFPbJx70sRRP+o+k8elP7NYXVKUdtWIH68gRiM9cgAD3kg4Sr6/lo+7IKAZNGgpzkPttPnF4xBciGGMAwiDpJsGjY464ZBa7PZgqjlS+L9GsZYiD72q+7Ip+9Nof0vCYIU+UZ1x7g6q6VKyAaS6reuN59VYXe8d8DD+fqlW4Umu0cxLaWoqgvj7mvc40TGv3OB6KvRoy/d+QpQyDzKHr2DhHEMvbb1UnYzVhgmaZfp7qy9bdffb0yBer37O9o1w570DuygSA5Rg3BGObjuKYwrsPNjOao/s2vBRnAoFsBrA5TMyvNaciTeR+55i6+2eYtd7GTEXwYKIPiDfD2r8IPjhAMnLWIgQ07hjSiAS8uvmIUyIY1ZLEZZBzblm1gTZLWNfyz33mnQ6yrB6+1kKJ1zRRJIu56ZQQawDADGA7c3msSN0HomhWIhdyBgOvTScC7A0fh7eaFiDXxTgtr0Db8o4MZNijOMtT1WXrrFT0zVoPARJxesQmxfPWkSjbKUbvvRKBksvv/RgLGdUCBa0xddyLg2td+Tfe+7k7SrzHA9SSSkPQJuLprhhds5yMmfSTq18cR4OwgNweeevRe1iCAtQVtqecSpD5JdiaDxp04B8PxrtxxC/ZG2490rxn6dZ+7/hGCKBk+G2F0vCwm8/jYE/HBWjod67qQIDxWO8EifSMad+cThEprIkhAMKBJHvpiRgxy3+ZX7awVbJCtAFaHsTnA+lbkhJQuBIzXqBrg5/kEqknMrdAnk7ryn4Qmh5TVv7U0O91sXIDweiS2j3WAIEEqRDd5jCB7mthwqthsW1bN2bbmQ/evIgCuCwlY1xeQTjLXpAJFBBpAv4XdQWrg9n2RbeJSpCu7AE1kaxHASRx31V3H96u/1hLELG1DcoGnCPVrLvXKlyWtq1tUeI1sFFDUEGgFw592VF+/eKhFwMen7q0hiOM6GMA1rq6ryVFrnOv7muYaxQgUzkPxZM9C7fIS2jJuJrmHuP+9iEAfWYlA+nTUBwcQQFiPQOxBkmW4G4UkAhe68/6EIhIMRkpcgxjJuGxyUSCbMuZFgazrszjtZ/j3GnfdElLTk/p+3Y7GjI3oOW7razuYIL6zB67T3LV9NJVGAuB6Jlpwe8Z12ABXB1hzm18LQHXIrABWh7k5ScBytC1Ygga5LoK4cp2IgVjbn63/fJoDWRNIdR6YhsoeDc/TFGIqyknvAFFJemlBzjm9HVs7muzOAGG2NpszQIsHpK4NwlrXWrR95lnXvoa1Gk+qA8sIUp22dvrtQKeRPR8xc+0EqUD75IxjDJPRNvyFSC7QjJ7FJno7ciVOV5sP62tdQ0A2Tq8YBrJH0fs3yv2/DmmzS9GzuRbn1d8f1iyJ5VLXELDM5qQzEYHWiQT1B+mEWwninHYjYBkFhyPROzvJ/b0Rgfm9pAeV4d87454Xp0m9GuWG9iGDdiNg5BdtGVldB/TPRhKBcgRaHx0sJ7qY8nhGdiZy2p1Gatt7Davf1ve61b0IqKdjQ4+FpQCRcTgsD4mOw/16Xx3ruoBgrOsglXWdieawYQdcnSQg2fxa2PofUiuA1ZeJmZWmAjEZ4xBAOYFeno32Zjskg24uZoKsUFHHkEri9VfRdIHlxAOKdEDWsxU5A9mYcofDq2SSIlSSytaGJ5JONHFMQYN3I6la1z4FM3ca2rD2chyB09ZmxHS1u+89Q/oSYuWe78d9JxFsB1cjtuYIGuDD/Rp2+OnVr/m2kKd4v+vqJvto1AL/qYOevOQjUL8Wo4nuSZQu9OFcgKtbQOXqpONlG9MRENiLnjd/TBhYZtvijv6/Ar2z/r2rd9fcQZp+de0/g+DZ6CDQuO7pJ5s3FwH0FQTvlo+zuTn02Rn3nLlrzAYuQaza48D9uYTRSlBGrwXNtPgdgxY9PqlIdPHbScCOjkB6bP/cdZE+akHWZ82VcSypEoK8va8miPHsges0JMPwO0zVBFKBYQNcjdo6fn7NTddasAGyAlgt2JCa06xFHQjGIS1RdFsydtDIAGTHIcbHOzxE5QWH88n+ORYrLD3IBHBHowHSxxLcioDVc8hL1U9iPWxtwjJUIkbXs69TEIDpSZmJtuguQO3j4172DpKd/J5h4DoCTUDr0aTb537trznJyTLyWNfQtUsRGzYJTc7hMGWz0KRcjFjn7Wiy3ovAWynx4DMOWCYFmBZNtkvQ8/UoCs3XZ4CYpt6J31dXrukECQg6yQ9wjfbrs+h9Hov6YBxqc8+8bo1qcp2j1ytQXN6diG19IQ27W0TwXmdarFa5UzLKivynD7IgQxDSLe4TBbLhhAjZUjf3exxOc90RpGpdO9G7sB6x9Gcg4HqYALgWGMyC9bICWC3YsDMHBLyuzq/+J6FBPiwh2JXNiSkCZKPygpEITMTlvT80UNvYbtLxQLUK1e10NKjPJpAdnEDgxkdCyOgQEeck49pyBgGQmo0Y0E1oS7HO3fsw2k5e0x/9pTFMJACulQTgZCtii/LSrzmWqcTd60KUtvU4Ajib3CFJ9ZXh/0N6Jx0f9Hwiats56LnrRn21nUA/2IAWEA1If9zvaBbGUI/Yx/NQX/e7X7PcL+n7ahCgXkb+gGtcXZ939/fP/FQEujx43YzkDeWIOb8AJW0Z7b5rIFX7PtIdn8Qh6eRQRM/IAGT9mOd1mXGMbCyQTdCv4b5tTuhTMJlA1z8djQsvoLFuOgXgWrA0VgCrBXtZmGM36umtv+qiN6OTNVOUu6YHsnGsbBjIRlnZw7myIknN1XMmARNRj8DNToJMUXHMThWakLLGOHTnhaUDXUiT6K/5GJr0X+qnhCIKXH0c1y0hnXK0X6cjcG1Qm/s85T6WY64pHssR6+hBZLur42QE1HegyXI7OXiI92F7tALpTF+N9JMlrlwNqE+8FvQI8Q6GjbkCWde2pyEwthCx9v3u1xzunel9bUPs8yRUfw9cd/cxqoCv64WIXfbB7Q9BT7isWa4ME91ph5F8ZQd6t8rRYm4C0iDfh7awjw3U+z4YFgGy0QV7OiDrx7yUoPwZ+rWb1IxcWcdh90541nUxejZeQOPVWLTQO0oAXNMmfSjYn78VwOrLxMxKM4IgLqFPobefl4lmdSDMDcLV9HbkGoXYqrADwZ5cAIYDsuG893FANs7hK69A1ihd42loMD8NDd5e67olohWMeg2nkyJEmaJu1GZj0fM1AYHFo8A9wP9GdX3uflGNZSZ95QQkP5iLWKt9uMkwcn439DDE0QDpJajN9xEESN9DkFs8zoGnPV2/G2W6Ogcxc5Vo6/zRgdbPuUn6dMQGnhsqfzFBrM5j7n8+NFIt6rN0oZAyAtmhqmukDOH3NQx0JkKPhOYw0hjfg4t0ENqJyKYZH4OeFZ+ZqR4tCJ5B4dd2EyzYRhGkR56LnjsvlTng/nehO+d+4LnhEG843xYCsun8ASzxC/YDuGQtGfo18TjsrjGJALhORwuOQ6hPZzKAwNVoTIqfXwua1WFhBbA6zM1FAzibwFuxnUCA770VnwDWDJdoAENtTrcZdeQajwafsAPB7r54brt4qGFpQXhwH4XARhyo6BeQdazGDIJttHqkc30eORBlChrvHTY8KKx1nxr3GUsw8de6a09031WgbbqDqA2PIRakjQD0HnPHJNFXjkJM1wIUw/Qp9Ay/mGlBMZD9agxTEZA7BwHg1ShGZKKwZX21EHBdhvr1MGJXDapfM8HWdSNBKJ2os9cxejNjHsim1GGo6hq1kMZ7PJIHzCZYlE1Cz9gh9/ELFO8Nny7zXYrGO0ld3fsxjiA83Fz0jG4j6IeTCLSuHuhoD8PFXLv4pBtxrCykj9BynMDxMPq+HqB3nN9ouC7Puvqxrhv1fYkrQ9g5q8/A1UUDSDa/FqIBDKkVwOowthzjrBYBPxvsOKsvFws5xIRX/1PQJB/eutqJy7LVj/ukYymiQDbMVhyylu4YYJlpi7saTfB+e7Od1C3zstA5XfQtCHo3ArAXoQF9GnoO9yIA0er+LiPwbs6WQrcnxqMxTCCQCowikApsTijlyGu/On3rGWjrfJYry2oGIZNXBLguRHq+HagvpiAQZUkNVeZTRoY9xsPgog71SxygOOTuk7e6RmIdZ3NI8tEz4p6R4+hZW4rAykj0PG5Fzjnhvk0SgzmnfnU7GmHwOteVtxxYBfzCWrbn1jp/PmaCDIRxiV98XNLYBTvq+2zva0+//n/2zju8rupK+7+tZkm2imXLVe6m2QYDxhgbh5AASYBQQggEAgkJpM2kDs9M6oxDJpmZj2TGmSEJ6YWQRgghgVBN6AY7GAwY27jK3ZZlSbbV2/7+WGvr7Ht0blOXfdfz3Efl3nvOLmfv/e53v2stvddEAtZ1OrJJBpkD9xEA15QjO6QZZ1XW10yc1UGzDFgdoqZA9UaCOIXJrF8yWB3LpkxlOd3DuBhCDj+I/qoz9H2D7L5T1VAWEgAIx2aWIot3IeJM1UoA+uoImLZmEgPMFoQRnUqQvWcj4kj0su2j9IcaKmsJkl+7VMsJAnx2IZP+IYLg+VGgJYtogOKSIMxE2vVFRDuYVkKF3vZrqK7naH0tAm5e7EvnrwR1GEEAXOcg2sk1WmaXTWs2cty9jcB5qNLGppbNIgCyYWbMB7L1+vc0/f0J4DlX11Bc4mQpkuPFJQ7/ryGVftVxNhWJKvAWLUc1slEqIuhXv2/7tF91IzEL0cNegMQM3Q88hUQS2GwHKTnGUDSNLhAvaoEPZB0z20GQ7jk8XmP6FdkY+3FdS/X7fuazhMBVgWrP1tcMYB0Uy4DVIWh69J9+7uLfcxmNTObDvDNKEmCMqQRusdauiHjvfOBua21F0vJJCtbZ1tobUi7bIFsCYBkFKsuQnfxEgsV9JLKwNxIcd7cj4DKRV3iqKR47CBb9sLygmPjSgpqoRdlISsY5yDHaXIS5cFrXLb2Nd6rtORNhqs7Q8u2HrhS0hoD924Jo1VzCBF9bG495m4Do1EoRQOEYtc0EYMdncZuSOHMYvW5YV1eEHA/7jM4eXwMaUdetaIrX/o4bq/ePB1zXIu0923tNQBZ21/bb4kUBUCA7GWGqpiEM1ySkrjOQtqlHNky1yHy0X1819DLjW09M+2IK0hZn6b83ICcULsbvFORZ6rd+1T65FHg30mYNSHSHjQTP/IAmxhguFgFk/U1UNsFpUwN0afGdg1hUv3Yg4PVUZDPhNM6VyGYiBrjq0X/662sgn/puRhIw8JYBq2mYgr1JwCRrbbX3/1eQnfYMa21lr+9zm7kE0Vjt7fbmNsZwF//BV/gkuZHMwSRglV1mH45T/iEPVnUR8Y+wUwGYqbCb7SQOgp7odwgyF41DQMEYZNLyHQh2JYtp2IP2yCW+s5cDslEOEIdUWpCFADPHREwk0Lq+0VvWVRfuMxGmaiKqP0UAvjtCLUbAgDvCrkzBKSgLWaRmIkzYmQhLuFfr6RxpSojOdR7F7B0NMY++rs79HE+cfo1T15XWsjvthuuBRQDXbQhwfUXLl4+092n6/gxk0a8lCIfmAtcXI2x+PMlGnl7jTII2cQkHGojWKx6MCqHWHxYCrgsQkOKiClQh/elvTJL16xkIcE2rX41hBpJo4ByCo253dOynRt6TCpN8PJsC2agMhuMIHBDbCUDsSH3tRRMZIM/tWGQzM0m/txNGvhcai8nOhuzsbDo7O1m48AWWL3+IG2+8gT17ptHYWMLjj3+ZCy8M5sTPf34B99xzIVVVFUyfvo/Nmz9podv6mrH+tZzBLsAwtO3AdcAdAMaYU5Ej3B6ZMSbHWhssnuL1vwh6nFWlClhkbjNPDkSUgBCwjJdlpyfvtZG6vrI+4r0or/A+XSj0aHQiwVHzGUCFMTQQ6/Czi14kIFBQt09f4TL4QLYcmZzn698lxlBDLJh4AAEa4xHG9XJjqCfI6705XbZQwckLwAvGUI4AuQ8gbO5K4D5k4Xbs3/uACcawi2Ax3xpmALW/jiAM4lqt73gEPC3QOjqN604E2IZZ2hnERkQoNoYmosHZBuQIsR7RXY4jfr+uQFj2OcCnjOmq6+q+3qxovZ1GsETLt1bLMhf4GDDNGBq9+tTo7y8g83wxgQSlTuv6OsIEJmIAn9H7lxOkeK1B5CW7CRivRfqzXMsRL2pBnwFZLfNOYKcx3I+A0wXALcjz5oDrk6p9jDdeGwkArOvXU0ixX61lO7DdGO5FEg28FQFPLyMnL7P0fyXGdJNs9Dqu7rFk2sYN0F0P7AHZMCs7AenTyfrRPGSs1CB90A5Mh+JiRty1ie+/Fwp5hXNYx3SOsGZNEWefvY7Fix/mU5/6QrdClZc3cM01K9i0aQLr1p0CLDLwZCZKwMBahllNw5SZ/AlwhbV2of7v28hO+hvIwlgOPIiwrx36mauAZdba+cpKzkMe9MuBf0Im/v8FTiGLNmawg/fxU/Ij0kMmYlbv5jKOUs4nWQHcw9eYr+UaBfwP8FEY/UmoeR4eLIUbvw1H3gl51XDyA7D+emi5FsiHFRPgk5+A3adAXitc/hT86kV579qLYM9YeO4JZGJoJfU0jonec3/3ObAcKPM8i8PHzdl0d/g50J/11MU5XhzZEugCshZhKMuRZ+U1BMis6ynrqqzoSQhTNQ8BwysRj/9OZQBnEGgvpyOsVxcTlULCh3EErFoJElXgJUTmEE+v6EL1JMswVoKAPJ+ltcjz7kJplSFHkNuQzZVbPF9C4pluSNa/utmIAdNxylKEjLN4cXQbESB2ItKe2wkY13rvfs5ZxTHes5Fn03fa2p2g/ZL1qwtjFHUKUI4wu1FxZKv6CshqGRxwXYAA15eRftkZihuaaLzuRvrXlf8lxLkqYb/quDsTYVtLkKPo5+gu2Zio99hMINk4LiIN9LVppJCwpGAGgZTIwIQLOOnOHXzmPQVsJYtOshlJNdNYz1tYy9TGOkaOvLMbs+rsIx9ZyooVi9i58w/APVbmyYwNkGXAahrmjtGB7wFXIhqlHcjEXYnKAIwx64FbrZWjeGPMn4DnrLX/rWD1Kwi79BeERZyD6K1e4r28n0dYznT+xvt4olshtmSN5e7Ob3Lph+9hREsDWR3tWAw2K4s1q86koamECxds5LWpR1n/4yvhzt/BNYfgg2+Dv8yHH/0Zbt4CVy6B1ybDoz+TteKKj0NzAdT/A7S0sLcqVAAAIABJREFUwITb4YTn4M+/gD+Uwj9/F976b/DYCij/DNRPhaYPMYyB5UCaeheHHX5KEQbGZ2D3DEQIIV1Qo6QFTsPojthqEcZ1DbJYV1kbsYlKfK9CJDzMEqTOLyBHrFXeZ3KQtnHe17MQYOMW8i0kCDIeB7iuQUBvj55PDVEWD9C6vx2zMwIZwwVaxzwEwG5C4ny6DE75oe/nEXjEx0vN6bSgKbFweqQ9FzkGnUsc4KqfNQjo9pNEjCZWsrE96t6p9GvEvcJA1gcXTcRnZHvEYkUA12wCxnVHgucpPF5nIBuBkUi/vgA8huhb445XY5iOgNbT9J5/s1bkXdpPMwnafjoC4ru03tZS15N6ZywwfU7LIf8FrvjvJ7jhHyeykQLqGUsTo+kgn06yyWpr4nt5Y3jwiX/l0rd3f4YDsPob4DlLxPqcsX6zDFhNwzyweg4yaT0N3ApcjExgDqx+ATjNWvsBY0wZsnueZa3dp2D17dba8yLvcZu5jPv5BLuYxKe5s9sH1pdVcE/Nv3LW/9ZjsrOAToztgM4Odj8wguYDsPCCA7z8Ri4HWzrg6T8DNbCvHipuhy//F/z7SzDyTrh+Ofz4OaAFFl4Gaz8BbQvhLXPh+R9D52wEjFpjzJeAE621Hx6ODlZD0ZRdDOvqJiDC/xgWtj+OlhOUywey8xBZwSlatiZkg7YBAUE+qDiUDMgawyRkc+ekLs8jDhDh3O2OAfRDB+UQ67S1K45zmQ9cSwkY1x4DV71uLvGBqwNfY5C2KyQItj5aL9GA9K2LC7sVcRaJBKh94bzlAVcXx7USdc6ylqNxvuPi4Lq2dwyga/utEXExU+rXBOV0QDZKr1iOnLqE48i6vPcpAVkTpPs8izSAq/d9N15PR471T0dY242IxnU7ccargt+36Pf2IzFbXw3FhM0mSFTg2t9t2LoSFmSctnpmxphKsrPHk5MDDvi8/4P3808/Xs8mKljfeipfG7GExx7/MhclZFZ/Bay1coKasQGyjGa1Z/YrRMs1A7gr4v27gQ3GmJHANcCz1lpfb7jL/7Ax5kTkmP4sDEUYchnFjsg759eIru+dn/1nOopzODKlhMNTxtBYXsa+/YsxzaVkN7fR0lwCs+sR1tbAxGwobYeTFgPl0FoO186V32mHD06HzYXALXDhXFg5GQqPSPkARhiYvcMYvgpXLIGdo43h4/TsuH9Q8mcPNdNF1rFXQBdQdBqsCoSRmaI6S98xZCcSCaDP21FBkvP6fg34jZZtJOLcczZyzHkKwrw64FJsDLVEp26stpYOZZX+YAz36bWWAO8zhrXIcfIWa7FaL5elyukmxxAs4m8BRoc0gNutpU2ZvYeBhxW4nglcrZ93jOsm79h6FMklAcUIcxrluLUTkU34LKjvxJWNAJt3IsDfpVc9Xf92x/guIHmutmULsWxrPEeoxnjPgYLFl4GXlSmehwC1q43pAq6v+MBV2VdfJzyCQLJxIfBRY6gmVrLh9+s8BLh269eoMuo9LUHUgU3+e14kB5+RPQsFtMbQTLSDYZUPZPUeu4HdxvBnBLguAD4C5BiTGLiGxuu92q/zgXcRsKdHgYI44/Uh4FFEK/sObZ+nkRBhDbrR266vx7TeE7TdT0SiD+QaEyPZiNywZSyOffKTy7jjjgLC+v/5VNHYvpavsQST9CrZEB1hI2P9Zxmw2gOz1u4wxmxHYk3eHPH+HmPMC8BVSCy3MEMangjvRNif61jGDB7g22xiRtKC5B9pJf+Ng4x7Q8JovM4YWinn7C0rWJVbDq9NhJ99HRgH+yqg7jxoawAKobQRNhfDhXrcsb1Er1oMcw2MqYOqbxEE6G6kC2zuOQGqLUHoHN9JqoTkjlR5xvS5zvWYAMAKcnbrC+harF0M1SkIEHg/0o5hR6796R7Tp1G2BiT26YueJ7aLMDAZARm7EPYwF2HITkXARakxkXnv/4iAtLMQp6xsY7pSgcZk5FL97CHECcoxgLMQ8HoVMFnbYzPCILpyOKZvCgIurkWAax0CLvbTHQDWIgxyjC60J8+Y9scaYI0ybIuQPqxGNJ/7iE1XmYewrgegq4ytBJEPphALpkcYExfQhsNKRQHXq4xhBxHAVcvfgrCHG7Xds7UMJyAygOsUnPkg6k4t7yKS9GsK7We1HepIDGQdK+uc78Yp4I+SFlSpp/9uY/gL3YGr07jGZVy1X117+v3aRmy/do1XAuD6NLJhmQt8Q+/3pB99QO/rHCvdhs2XbJwLlBnDdgK5TOVAyIiGre3fX4s8L72xXDKhqwbcMmC153YzMNpa22CMiWrHu4AvIvEL70tyrSJkUannuxgaOZOcJFqlZnJo83bUIxSgiANEO51tP4DDz4K5HfFw/Q/54Ef+Dz78PGQfhS8tgrN/C/WT4TdnKIeaDZe/Dp9eBFcthDsfguI2+P1UqC+ATx2CKZMhbwLwQQKnD39R3E93BqjBTfom/QgCRRGfDf+eZ0xKEQTSiYE6JPS42m7V+nrZ/d9ILFUHcOYhm6fRxrCPWEeuPX0dTsj3xAYeUl2Yi+u6GGm/dciztwnZoI0hlh2bi4CLUgSIVCEL+FLg/cbwpn7/ZWtpCzlH+WAtGwGxFgH0SwjSxNZpO2zXcjwA/Bo5vp2JsMOlCMjqYlz7sq18sxI4/nFjWIHMDeci+vftCAP5Qy237/BzttbHhefZSpCmssVz0gqzw1MIOWnpJtEfr3XA40jfnAfcqMzdC0QAV61DB7IZqNS6OAbQgaiLkfHtwOsvEL3uEuDfFFytRI7Be+UNnyKQ9SUFDsiWa1v4AHYPwQb8VGKB6xoECMYDrvH6tRLZKIX7dR7yrJYh43o+cLGy3fcDL0U9h9ZSg0gOVmsdRxKcNrwHiW4QlmwMmIRoyNszz+xBTqxy8DNWVVfn0NqaBUB9fQ7V1TmMHSvvNzcb6uuzaW/PArKoq4N7793GLbcMePGPZ8toVtOweHFKFax2aVb1f4UIaPuTtfZD3me/RkjvaYw5D/gRMoheoYJd1LOUz/GNboVw0QDCdgHL2cEJNDONW/iCXWYfNsZ8CPh3RF+r0QCk/Fq+HyARCfYCPwc+C3Y2MA7ungPLvgj7TgebBxPr4Cur4OaX4ZJFsLUI3vwKwvo4IBQvo00xMlFHOZJ0O9rsyQJm+i82axQATgcEh4FzvwJgPbKdTKwj10SEKYzJ3hRPs9gHZXBOLY51rUAWTxfXtSr0+ULEuWQqstBPRkJwnaDfzSNgO/cjrMZehHGqI5pJbCLIiOU7D7UQq3vdjwA1p3EtQwDLGuDNgdisKNg8AwFzU4G/I2Bup7fB63W/mtjwV/EcxkYjR/4VyMagCgGB6xGmN6XxagyjidUblxEccecS9HO3ug6EaVv4WuOw05cDsm3IZmaS/m8lAuSTpqTtQb9ORdjZ05GN10uIttUd9ycdr8qY+1E2ZiBRP9wzvzldZvtYMV2/x8fEWZ01awMbN96JMT/s9gVrPw7Axz62mB//+KbQu7+01ob/l7F+tAxY7UczxmwFPh4VhD/h93qawcrPsBGRwaq3pg4G8QI25xN7vOtryOoQtiJZrnD3M1Ggch+Q1PfnAmdis16lCm5TiSvrJydIBm5TkkMkCaWTjTBfviNXBbL4hsNpHeqLNjVBQH93RHsawqSeiIDIOiReaBvCusVLzXkUAVALkIU/F3m+GvT6dUTrFavDDkran+MJFvITkP7wj68b9T6DBVzHIMz0YqRvVwKrooCK9ut4YgHsFPqgX1U7XYbIM85G+u4wskGohZhICS69aqIUq23Etn2FXseFV9uPHI1H1nUgLQLIujlvJnJ6MAbpm/XIScdrBFELIkNP9aBfz0CIhDMJpFgupXHK/arj0Ek2HAPbSuwzv/9YkFClapkMVsPTMmC1n8wY817g/yEe9GkvcuY2Mwe4AZnE08tdvMwOeO5iD8hGMRUFxHGAAOoi4h4WEA1iw//z2dp4GYv6PQVkOhYCwL1JmhB+LwyAUwG+IxBA4nLHj0PAw04kdqhbEPc5HayJTZWayCFpFLLARvXLCIQVnIJM/pvQVLDxwh55bee0evORLFwbEAnAWGI3UWV6vyi9YheQ9RhAB17HQpcGsFrLd5r+HDDgGlHXjQjAWZdkY+JCUfkbkynIc7KbWKCzP9WIA8oSunBY8/QaawiCric6VXG/u/EqkqcgjWYZwrSOQDa1LwN/RsJgDboMxzdt3yIC50AXKq0OGVN+WuSYOc9aGtPtV5X6LEWiCDQiz2UDQf+m1a/ehs0/bSgg9rRhZ3/p3oeKGdl09Gx9lU1KxgbYMmC1H8wY8xQyGG601j7a4+sIYH0/ouOrgsgJKAdZnA3w+8EAqsksDpB1bIUDslGgoi4Ja5BD4HQSj6V1/3PsT7KUnPVDbYFMZroA5dBz4FtA0I6jkb4pQ4BEAcKitSPsWDPC8FQT255ON3hI369BjuJjGORw26oE4GQCyUArClwR/WjkJkOfKRfjcyzi+LXSWvHyVXZqDNEbqHhA9iAComYQANgKAieXfIKECmuRY9qBAK75CEg8N6quKV5jFLHs6xS91n5iHfR2JwsF5QHXBQho6wKuqt2M971E49U5mE1Hnody/doOpK1f09+H3Hg1ErbLyUiKkc3OPmTM+M9dO7Eb9joEAJ2E1D9uv3oRJd6G9NvTwLP6dq/61RhKiWVey7UODsBu72vN+1AwBazpra8ZoDpolgGrQ9xUEnAWomVy2tgOhIHIRQbYKuCl/jj6729Tpi4eI1tIdyDr2IqEQDZ0D8fWphKeqJCA/Ul4tDmUJ3Ct8wiSg/hiAhY0DOJdGtsO/dwYAkZ0AgFwdbpRd6SZSB7RSWLGtxDZxExCQOUOhHndgOhUo6QTLsXrOQhYXok4qESGl9GFv4zoZ84HsgcRUO6c/MYhYKoZ0RQW688XCRjXfmWkjGECadQ1ybXyEL2kz8JOInBK8+P8RoJQBa5zkDkqZeCapFxuvC4ErkDmvkLkGXWAtQV5lgoYQuM1BFzzCdIBbyPIEhcloxqB+BaMRea3lQgg3RWWFhjDFAS0noEA+b9ZG4RD7G2/6gZyFgGAnYKMPT9ZQX34e8PRVBKQ2vqaOfofVMuA1WFi5jaTj+j9ypEJugkZPJvsMntM5ihOAGTLkYn9INHygtqearAUyEQdZUaBvk5ScBijD9kf1aAVk/i41f1OgjL5oPRIuuXTckTpJTsIOfyguec9BjhVB7gihOWcodc2CECrRQBKrn7OB8AlCKAegwCbjfozZQc4BLy7pAg+uBij7dWq9y5EQLsrQzuSVvMJYGN/Aldt/7kIcD0FYR5XIoC5x5N6T/rV+64Dro5x3U0vgatXprnABYh+1oFVg/TtHgJtvJMQpTte/XHRJ+PVGCYSANdCggQE2yKkT6OQ5208Ap4WIhrZRqQd36T7hr0R0bSej2wa/4ZEcOj23IX6tYKgf1Pt1+kE4HUWMgZ93Wu/xHweKDMyhqPX1/R0rRnrJ8uA1YwNSwsB2TBbMRJhxKKkBT0GsqH7+6kz4wFG9/dIhKVMBBjdhFiQ4Dr+teI5svj/G9DYsybIQhQGOiPprqvbl6pe0rv2ZAS0zEM0jlsRucAGAi2sA7rOKWuB3v9N/Xwb3YFyFHB2ANgHs63ExhUuQECIC8nl9Lz5yGL3OgJc/4ScBPQ6I1WU6RH/IgS4FqAe6xqXti+un3a/RgDXPQTA9XAvyuLXtYiAaXWM/z4C7eUW58DUi/GacJylytamClzj1PV85BnbhhzvFxDMeR3IXJeH9E8OEkHgIWs5kKRMPRqvCnwnE0R6mK3l8MHr3uEMXjM29CwDVjN2zJkHZKNY2XhA9iB9zA4oS1uEAKeJ+nLlGEvg3FSCLDZAV9aiWgJtaBXCpOxDjuMOA0cHW6uXqmksSJdW1i2M5Uid/Aw/u1M9zlYd5ykEWtd2NDQWwi626Odc8oIlCCu3CwFzryTQw2q84bQiP+Qj/TkGYVtnIoB6rH6mGenT3Vpvp+s9RHdtb8pRISIiHrikESnVtTeWpF9jHH6Q9uhr4Bqu6yqEXZ2GgKiZCLB0AfO3kEJUBG/cJnMYc2xtsgxjR/DGawRwdVKBrQmAa2S/Is+Wv2E/EWFlT0DmjbWIjCacECFu7NU0+nW3tTTpeCknVvc6iljwurO/NmsZOz4sA1YzdlyZAll3xJsIyIa1srU2SM+ZT3KnrmKSM6p+rMoWT2eaisNYPIY16h5DLruXMm++rm6K/n2U2CPJXUj7JHK0M4gmzwHXaQgL5Ry1DqgMIQfxwD4XkRasQRb9pDEze2PGMBl4H6IznIkcX9dB19F4NQJcjxJki2tCQGkix7l8/X4UuG0j0NiWIczyq0iQ+mTxgTt6IaNJ1q97kI2ZSyPqgOsr1iZJhBL/nvH6tVLv7cd77cRjXpGEGT2ta1+M1xwt4wwkpNtqJI5rJHD16roEeZYin2EFnBchKX47kPFwlGADb4mIWKCvhvC9tV8nEcvCxh2vWnc/4sA4hAV34HVbMke+jGXMtwxYzVjGiPEen64vF3TdyQuKkUm/E1l0qpFJfi+xGbv6RasaUd4sEkdCCGtXkzqg0APtal+a1mkc3cMuWbrHl6xKwEI51tVJBjoJWNeNujEoRWJeLkH6dSXwYm+0lamYhso6G9FfzkaAaS4B09qIAE3nbHOUaAfDamtpVfCSLPJDGQJw5iGAqBIBiTbiOyP0M71KfRzx3hi69ysII+6kFJsRp6KXewFc4/arxwD6ocpGIfIQB2B39AcDmOJ4nYjoQcchz+x2RHO9hegNqUEc7eI+w3rf+cDb9brPIFEEOon2BRinX40XocXPRJjOeD1KbLKCqchz7Es2+nXsZWx4WwasDhMzt5kCZKCPRxaWZmSwH7MOVr21UMzWZA5JLgpAPDDXgICKAmLjko5DFrx48RVrBvu4XsFbKg5jflSARA4oR5AwVP0+eZggZWZYV1eEAC6f1dlrQ9mU9PsTEaA2F1kwtxOwrvsRgLAE8a7egiz6r/f3saUC1zMJnGkOIeN6FAImtiLPkTsq9zXaY5G+igIUB6OO/bUtktZVAXA4HXKqGeDivecDYPcCAeWjkGewQuuWjfTLa0ikhY1a1/D32xNsWFKta5gBHI88Uw5EbR1oBlBPf2YjoHsBMt/sRvq2mejx6tjqCQiLuhqRF9QQaOInIez+AqRtn7SWytC9XZazqIgFLoRT5DMHXREC3Hj1Hbn88bpbf88lALAzkfnXlw5UD9SJkJF5PXp9zThYDQnLgNUhbhq6aiFBaI1WhI3IIQitsRr4+3AMXdUTC8VrTOQokSi+avh/DT0FlXpEFi+ObBECQqISIgw6kPXNxGadStauWaTWrkf7wytew+s4XZ17jUfaNayra/S+l4/EtXSSAYswruuQRd4Fe5+AjKvnrWVPX5c/oj4OuC4gABy1yBifiTxH2/AYQIIsS2EHw3hA1gWnb1VAtGCg6qonF6mA2xLkeHkeEm91MvKsHUIArANebUQ7wUX93oGAppOQNnsV0bfuojsznI2AXMe+TkParkv3OtAMoDGMJ9C4FhEbDmsksWN0LBKP9VTkeahG2qyRYGw2IX0+CwGzzyKbghqSjFeVF0RJqMJANiwv6CB6vB4kALAtCGicirS9obtko0/nSw1dldr6mgldNaiWAatD2NJMCpAF/G4oJgVIxbwdfSoM4LDJXOUB2aj4isXEMrJDFsiGzcRmskrEWBcRu1AmiojQ1MuwS7kEXuGO0alAGB8fwO6CrmPmCQTA1bGubyDObDMRdusIwsqtDse87A8LAdeJCLjaiCz4LmHBBK2LrwFs0u9nESR3CAMKH8g6QNGOgLJTEIC8Evh7IiecgTLdmJ6KMIKLkLI2IJuMGqSfDiD1OUSQmS0eKzwWAcEn6rX2IYAuiyCDlg9gWwnmpdGIXKEeAVeV+tof+k5YKhGXAe5Be/jAtZgAuG6JSLjh4g8vRtrsdYStz0XGZykSseFM5NmoQvo/kVwo7niNALL+nJdN9w37If2/y7jm2Fg3Xg8j/TIS2bQUa/ndM1/Zm9OPNJMCyPqaSQowaJYBq0PUFKjeiEymfZZu1RjzNWC2tfaGvihnMtPFJpVg/MUIW5KKtrJ+qDkM9cQUXMVz9goD2ZhJfigDWd88tjaV5ATZpOYwdjTVRUo3Qb6uzi2KWXR3DKklYF3nIszOemShH6/vvYGAuQ0D0QcRwPU1JHPWNgKvd58BdAv55jgB3w2xMhYfUJQT6zy4AYkbuwphZAc1CYbOJScjbTEfATX7kI1rGfH79UAEkMvSay1B+tv160bkSD1R5IdJBLF/pyDg7xCB01wLsTKKHFKM7pDGe86BLilwTVDXrmdYkxm8DYnxulmvdZQ+Gq/aFvESImQTu1F3zKbTbU8hALsd2t7OgXUXsZKN1KKJaIZJerK+ZgDroNhxAVaNMY8Aq621/xb6/xXAD4EKa+2ghdUwxuQB/wlcC5RiqGEWe7mB35CeXiYf2fl/N54koC/AqseCpuIFO4LoSazbpBbWGx7PlgDIliPtWkM0IztsgGzYlK1NxtS6VxMpRFkgDltrDCV0dwwpRhzmHMhpQkDQKQjLugdZLMcgQPYFJJ5pVZ82RBxT5yEHXCchwHUNweI5ldjwQfXEagAPJtrkeXE3xyMM1xK9n0uGsB1hEqM0sgMKZCOA6wEExG9B2PxE/boTOVJu02sVIk5vS/SzKferttkYYp22Sugu2YiSQaSTFjmsAw4D4BxkbpiIgLmtSAQIPyFGM/LcnoiA1gLk+P855Nlu0/+di8R2rUcSDayJ2hwmGa/+z2TjtY0g6kUJ3YHsQYLIGTnI2lOEbILd+piv/9+OhOragmzYukKjGWMqgfEY00Fubh7WWs46ayXLlz/EjTfewJ4902hsLOHxx7/MhRcGMYpra3O48MIPsG7dAvLy2hk58v/Z/fv/PdweGetfO17A6nXAN4FZ1quwMeZeYIe19tY0r5fTl+DWGLMM8da8DtjH+/gQe7mCi3i4B5ebBKyyy2zkdxOBVQVI4UlGJ6GOYugshVx3tNtKavEFu4VByVjvLARkw2xFPCB7EHFYGJZA1jdlisJavXgAN4cU5CIEYYScdMABnQnIMfFevX2R/q8AOT4sRcDiM8iiPiCgLRFw1aD8zrHMD9yeTSx43Z3K86Cht5YA5yGSjkrkGSsjeAYbiaNX7O82iQNc1yD9Uas65Xj9GmZhS7Wui5Dj/ZWk2a/GUEQAXmcj/bCbQPe6rbdyEh0DPgPsg9kJwGnI6UAxAUCvC31nLKJbnYqA2YMIaG3Uv0cTJAnYgOi660iuEQ7LKCDQwic7ZQuP1yaIyXyXTzD2cwm0yzkEyRJaEHa2AHkeXwbWQ85vwX4E25GHbE5kTK9ZU8Ty5WeyePEuPvWpL3QDqxde+B7efHM2K1Z8j8rK2VxxxfW0tFxvrX0kxe7KWB/Y8QJWC5CJ5zJr7TP6v9HIEcAia+2rxpgRCKC9BhkUfwI+b61tMsacD9wN3AF8Hngc+Kn+bznwBYRx+bK19ud6/bjXiyjfg8AKa+131Ov/iwRaMvgt76KSpbRRzAhqOJP7uYi1ADzAYjaxlDK2s5tzyaGJ83mExdxil9lmY0bMgI67oPMMKHoNyvdAZxls+wFQAj89Fb5xFRwoh7H1sOwxuPl14DBUfBoqXoNNc6DuBPj8xXDPHNh9K4F4/6vW2l8bY7KALwMfRSaJR4BPW2sPG2OmIzvem4B/R3bAy6213+xFt2YswnThjpcQwQeyYQeIQ/3hCDXYZiRPerwF0v+7CFlouwVzRxZ4t0COQTYHBtFNOj1dO7JwPg38lQQB3vuhjqWIx/sCLUsMcNXPGARc+szraLprAOOebnj60SX6/bUImNuCgLx4esUmoh0MD/a1p72W8STkONsHri9bS03oc07f7L8aEXC3BwFG0/RzXXVNt1+VgZxJwLxOR9rCtfuWnobqSuHevlSgBEkksAZhHZ0EIAdhWpcirOsG/dxeZO1yLPtpSNusRyQziaQS7n+5CGBNFdz6zk0unbL/KkSAb5F+tgMZh1n6+RHIGC3Qazv218CkMxmxfC13XdtCHhs4mUpOoJZs7c/GxixGjryzG1gdOfJ2vvSlX/DVr64Hcnjve6/lL385YNvarulZr2SsJ5Yz2AUYCFPAeQ/wQYQBAQGRG621r+rf/4XsMk9HFp3fAP8GfEnfn4BM9tOQgbFI/+e8Vy8C7jXG3G+trU3her69CPyTMaaVJeznInIw3rHLaA6ylG8xiSM8xgJe4GZOyv03SsvbaGsu4mjNTCqmbeOq+b/g1c2n8+SWq6n8dY35Go0w9SaYswd+tRzuKoV/+ijMXA0chl83wce/BfM/DQ/fD3MXwy2/g1s+a609aMyea2DPYuBi4E34n5HAn4GF1to3jTETtU1AgOhNiO6pCrgL+C6iC3K2FFlITgRWG2Pus9ZuSNqBGUvZFJzs01eM6aLkSwsmIAt6OVBqDDVEx1cctkBWHeyq9RXXTJCfPZkMwbE/bQhT2a7XnoCAs08AnwH2G8PDwE+t7d4XfWkKdJ4EnvSA6zuADxvD6wTA9RCirXxR6zyKALheDUw0ht0EIGqrzwDqs/UK8IqGfDoH+IC2g4vx+aZfNk9a4IPXhSigNYZmouPI9gjIahnfAN7QCASOcb3EmG7A1bGpflmdRnIKgUNaHuKkdClw1Bj+Bjzsg98kZWpBAOAGvU82gWTjbOB6Y2gikA1sJkEc4XRMpQwPAw8rcD0T6evRxvAKIp3YbC1rgbVev76L2H59UuUSS5A5vgGRCLyUSD/uMcDJQp7lx3kvSiqRhwDgTmTTmKU/QcBrDQJWR+n3s+Rlspgyajo7KaCS+azAkE0bBRxiDDuZld19LXrzzUIaG0u4+GL3nLRz+ukHefjhM5I2fsb61I4TxZWLAAAgAElEQVQLZhXAGLMUeBCYYK1tNsY8D9xrrV1ujDGIPuc0a+1W/fxi4DfW2hnKrD4GFFsrMU31fw8DRU4SYIypAi5HHBLiXi+ibNnIInc9sJA8mjmVP3IZL3SryNGJI/l+1n8z+eIWyk5r5uCzhr2Pj2TRP60np/kIpq6RJ77/Ds7+xP+y+qI18N6fw+rFsLAOaIZR34GOdmj6EGR9Fuw8a+2NXlke1XL+0hjzFPCM0/oaY0YijMPNwEM+S2yMeQL4o7X2+/r3ScixUQGyM98OTLHW7tb3VwP/Y639XcqdmLF+MwWyjjUMs7KlCJMSTyM7LIFsTy0kl/FBrMsYNQvRuVYgTFA9cnS+BhkTlQQhhRyL29jXTKzqcp1UYDLEANduDKoygH7g9hlazi4QFWYAFeBNR3SOC5BxvhJYm8wJzouhG+VgWI4wY1EZlqrSBbIh4Hq6XscB10NJvltMAGBPRwDmDORofzXwPJpooSeSB0+y4etec/GYV2BXX0p4NFKAY1xHEzCum2yQqW86Ak7PwutXBCTOQ0BrBRL66pn+Yocjyu4yh6Wi9R1B16nI6G+S3TSKnFzTldbg3P88ypx/zKKDPDracvhxXjaPrPgq77xAfD6eeWY0b33rf3Hw4D8ydqw8z3fccS5f+MI7bWPjhIGob8bEjgtmFcBa+5wxphq40hjzd2TCuUrfLkcWlTWCWwG68oM7O+iAqmeHQtrVRmQ3l8r1/LJ1AN8DvmduNe/laT7EGj7ELLYzh/08yDms5yJaGAP7ZO+Y/dIrjB5VR23dCeQW5tKeX0RbYVkX0Vkz6z1Q9DYo6YSFX0aO4jrgyhNhXyHwA3j3Inj4BGMK3ueKArnZcHmL6LwqxsPSCcbwHqAFbDPcdBv85V/g8M+NKVkDV38dfvoGZFVAyV5jMLro7kCer/FeVfdHtFXGhoApsDigrxjzgKwDEuOR4+BxCCPrA1kfXFQfi0BWgZ5jKeOaLqoVwIcRpvMy4BKElTqoryY0Xqgy28kcxo6k6oioziWOcS1BGNcLgZtCjGubfr4F8YbfqOXPRgDaCQgbep0ygL7u9YC1bAe2G8M9eo+3IGzhagTg7IoC4vq/On1timi7MJA9C91IGUML0ZunSCCrz6FjXH9NAFy/Ykxi4KpRFd7Q1yNavlFIn74d+Gekb5qNYQehMGnWdgXLjzRth736UplajGRjKVBmDNsJdK+VvQnLZy0HtS6PKHA9E1kPy5RxdcB1uzH8Aa9foatf/w85UTgfWGYMbyDP27b+lMDotZtJM1i/MXX/wudu/W++/W1LOGZqJ3CoLY8fcwfZNtgUjB8vm49duwoYO/YoADU1ueTlZRIFDLAdN2BV7S5ECnAS8Ki11i3M1ciiMddaGy8odjqDL5XrRVsxR7iMNbzK29jNRApoZQ038k6WcxZbycFyO/9K4dotLF77HNUsZj9Lece/fIuWUbkcnVTEC/wnJav/CGfVwtHboLYRRo8AmmGPcwxpholH4MIt8PATBPnIm+Q9csBkCXhlJLJDLYJf1AA/hYOj4Por4MmfA7+CE/Ph4s8C7zKGNni6EN7WCfW3wEv54pvR8FFd7JphwlhYdKoxXEDysC2tx4Jj0HC1NIHsOMSxYzwCZOuI1ise6k2MxOFguqjuAr4OfN0YxiCSmksIjphd6CXnINJI4EziEl/MxdPWGtPl3JgszFuXc6MC16eApyKA6zrkODiGcVWAV6mvxxVATiBg/y4G8ozpAq9bkPisq7Sui5EToyZjWAmsSgbcQm2XDMj6JwALCKQFrUQ7GB6wluYI4HqSfv/LxlBN4JwVdzOi9bgPuM+r67kISZGvZZkHTFFgHXbkOpQI0KnEYJW+XAxTx7xeBUyOkGz0KC6uAtdHgUeNYay2hQOua5FnI7JfEdD6IHA/wsJ+GGg0hicRicDQivDS0tKKjLNYE5fN7vPRSSc1Ulh4mIcequCMM0Qm8Nprkygp2d7PJc1YyI5HsPpVRCj+efdPa22nMebHwHJjzKestVXGmMnAPGvto+neJN3rGWM+hxyvrOKfqWYlC+ggn5nsopERAJQiu7q/sIRGJkXeeER9GyM2iY6q5A9PWHvPX43pvBTK9sF3boOHLoJnroQZq4EX4MOH4B2fgx9PhQ9thEYDv54OC/bBOYcgy0ChmySLYfNo+HMxfPA1GH0IbA00jgGegLJO+O4HYd+tMHU3fOdHUHAfFPwUVswCvgiNL0GhiuA7OiEnG1mwkx7lCABOSaCfarzCDADuA0sRyPp6xbnIQj5agWyUXvGYBLIKfu72ANJbkF1cFqKBdU5bLo/8icjzvwtxhHJA57C+H5YiTA79nW9MV/KMKJb2T8jGdRaxwHUN8EYYaCi4cnroZ6ErDqxjAM8lYAAdiHoMcS5aAlxmDBuRY/M3ejr+QkB2s/+eAlmX2SsRkA3LC+5F/ApORBjcdIDrIeBBY/gr0q9L9J4bEUfc/QTZm5YgetURxsSA113AvngnEQpEX9WXcxx0ko23AzcrM+/H2a1N0pRR96kmMXBdAzwEMXW9TOu6EvHLmKNleq8xPAs8PVASgaS2f38tMj5irbo6h9bWLADq63Oors7pOvY/55wX+OEPL+Xqq3ewfn0xjz++gAsu+JeBLHbGjiPNqjPVYc5HtKst3v/zkYH2fgRA7QHutNb+n4sGYK2t8D4f9b9K4BZr7YpE14so08eAjyMTvqWEBk7nz7xNPf7v4kp28FYMnUzmRWqZxixe5Aqe64oGcCvf0svl8DW+x1jm2oN2vTFmJvBLhEl5AYm9V+pCVxljFkHWt4DTIMvCuM3wy9/ChTlw8qfhPZvhP58GquCpdrjmM1AzE7BQugX+40fwsSPQVgrXXQFPnAPtuXBGJdz1AEw/AI/nwDv+Cw5fAsW1wBEBsYV3w6HvJzsy0gXIeYamqlNK5b12+jZQd0sGAKdmesQcZmTdazQCRKL0itXHEpA1hgIEHC1BwIwLij4e0URuRfTCeQS6yTEIYPQzcu0O6yVNkJAjmcOYS8jRjIDgcuQ0ZRMS9udV6JIoJEzIoQzgLAIAW4HMfZu1nE5HOwZx9FppbYw8qN8sAsiGw761Ejxr1QQJAGYigDMpcPXu5fdrt7oaCW/lAKwLp5VSv8a5XxaBZMMxsK3ESjb29/R4XoHrmVqnMugCrm8ic2m3uiIbL5d5bD3ikNWvEoFE1hVnNS8vG2s7sRZmzdrAxo13YswPu33B2o8DQZzV118/k9zcNq699gV+9rMrbJoyhIz1zo47sDoczNxmLsGPA5eeJYyzmnZZJEZhVBikcchk7gMJH1y0kDxjUQmDlDrVA8B9BXyjAHCvgK/7+3gDwHGArHsGy5DnIUqvOKyBrDFMRBb8cxBwuBtZ8E9Cnq91yPH1FoIUle41CQG1MWydTSGPvY6FAmLH5kSCWJ0TCbIzNZA8Y1HXeFUGcDpBvNcZWrdqBBhP1nq6FK+DAgC0DYqIdjAcp+8VIM6GLgHBs4iuM2HMVO3XxfqqJk5d1cFtMn3Qr1qf8QSSjdla/i7mVa+TtqbcA64LkHHqA9fxEXV9TT/7NmRe+5vWf1AkAkZkOL1bX+lRDPSM9cIyYHUImrnNlAOfRgZ7n2aw6kuLA2QdW1FAHE9eoM7trpX9cdq8ZLEw20nBAQVJxzngD7YuEC4TS7rAN15IlxGIS13K4DbJ7y1A83AFwB6QjQIU8YDsQSQU0rAAssqSzUOA68kIs7kBGVPzEOCxBwGv6xAA4/Skfo71qQhjGuPwg4D6lMeHesOfjgCO6QSxWfcTxJ+N2pBGjdejyPPtUr5OQnSeeVq/lcgx86bBYuDC5gFZ51x4hr5OQiQb+5B+2EF3Z69G7zpR/bqSBHXV76TSr7tJnqGslFjmtRxiJBvb041moBpWF1VgLAFw3YTIAcJ1zUEkAtOQzFlP90Su0BszUu/era9hB62M9btlwOoQNXObmQPcgCwI6eUuXmYHPXexsgRRR23jkMWpW4BwBNjWRU24IfYn2dFmIbIoJnNAOdKTUDMDaREAuDfA1/9dneySan9T1Qi3DLbnvwJZl1UpEZANb6Kqh5wjiJoeF5+N6EFHIFKevyPAYC5B2sw3EMC03gEkEyQC8DM3TUHGR5ReMimY1/K4BATT9L4vAev8NvTGa7KMRcUIAMhFooNM0v/XI8BnhV6/liE2XhVInoh465+DgPP9yHM2EpnzOog+BWgkSLCQT5DiNRWJQbJ+3U2wMYnbr0bipvqSjSkI2+gnK0jJIU6vFw+47iGQCbi6bkHkeIsQveuT9CDhQk/NCJDu2foapDfO2ABaBqwOYVPA+n4EWDgtW9hykMXYAL8fCkA1mSmQjWLGnFbOhfUJs7K1qUxmClqiAG3UgtlJfJbW/71+uLKRYfMAcDrgNhU5RCd95wDXpwBYgYUvLfA3UWOQPo5KiDAkgKz22VRkwV+IAJGViKa0BAGt8xDg4VjXN4Cd4TGjulL/qHkqAi720/24Oe5CHge4rkGAa8qSnYjxOhkB6Iu1PlkEOlIXzL+GITRePeC6AGmTGoKj8WyiN1AOyLbr3xUIiHsC0bem9dxF9OsU5PlOqV+NxA+eTgBeZyGbBF/3WpPiHDyGQCowjgC4NiD96p7hl5D54zyELf4bsHogxpwC1vTW1wxQHTTLgNUhbioJOAvZgbrMOR3IBJiLDLBVwEsDcfTf3xYCsmFWdiSyYEUxFSkB2dC9DAKyUnFAGYmwPYlyyx8GDg8l9megLAIA9xb4hgFwr4EvAQCOWZQUaJQRrVccg/RtlC774GAAWQUV8xHgOh0BAc8TxDY+gQC8FiALrGNdI8Mb6TWdXtKxdZOQuvsSgl0aBiv8/T4BrnHKdTbwboRJbkJ0vHuQPqhFTlFGEAt4B228RgDXWgLnrIP6GZcxzX/WJiJs61xEdrAZ2YxsIFZakHKIqt70q9ajgljdawexyQr2puAgGwVcX0X67ByCZ/igttt05Hl+2qaYJaynppKA1NbXzNH/oFoGrA4TM7eZfGQglyMLUBMyeDbZZd2SFRyT5gHZKFY2HpA9SIpsQJJ7ZxNoa5MdbTq2NlkszKPHClvbH6YLejZ96wAXBsDJwG0roqf0c5IXI442xUhf7kUAbMxzNyDskISOcg4tHQTpMY/o+2MR0DoXmT/2Emhdu7GuoWtnIQA+zMJ20F1G0JUeVIGrr3HtK+A6GgE3S5F+OID0z2SkH3wQVUvseI03Vt14TcTS9ni8ahuegACiMxBHNQdcq+J8xyWTuEjrWkAQj7eUgAmMSoiQFMj2ol8NMvf6utdRxDKvOxPJSYwkO3DAdTwCXDcjm8VztAxvIONtPsJMP4mE4uo3sGJkXoheXzNe/0PCMmA1Y8eEKZD1897HA7Lho97avgSMJkgFmIildf9z7E9c1sf7vWWoOJwMd1Onvr4Avq6fS5HFNQcBti4XegMCTmoJMl65566B5BrhjlT7XJ+72Qjbegbi4LISeN1JKZRlm03Auo4kVuuaCtAxWt+ww49LxeyzdXuRhd8B1xnEalx7BFxDdT2dACy1E2gwOwmA6xYkFWo8LfyAjFcPuDrG9TCpAVe/rpsRgFdF9HxnidZlV+EliYhzn6h+HYVoYH1Hrj0OkBpJMOEzr+MQht+B123xpCQRwPVVLed4BKhuR7S9zqHsSUQi0GdRYTI2fCwDVjN2zJuGz/HZWF9eMIpYENFvQDaiXC74ezIHFBfEOqnDGOKEkmFrB9g8AOwD2/GIU8YEguduDMIitRJkjXMMbhsCuFxItSx6FvmhEwEOpyJe96uRNJ478ACwHs864OpYVwded6QZMaCQ7g4/4xDA1JW1CbqYXgdcHePao6N43aQuQMDcBOTI9nmkHR37dwIyzrcSANgd6UaH6OPxegRpi5MREJoKcI2sq7USgkkB50iiN+wOyEbpsuMC2ST96jty7baWRo0vO5MAvE5FNLNdWc6iwm4pa+6cs8Yjz0YLIlkYp/cqRMaPkwgkdUbL2LFjGbCasePaFMiOJVqvGAayPltRM8AOHFHa2qhFchRBLMxkR5sZtnYQTEGPC90UdjAci7B3zsmwjqDf6glkEak6x5Uh4GEadGUb20XA7Dqg24Y8P+MQIJQDXbno39RyxAPO7XGATi4CNvzj5grkOLsKusZeMYEDzuu9AK7jECC3WNvseSSeZ6OG33LA9QSt504C8Lq1L2O89mC85iDPRDnS1q8h7bGDiPEaUdeVCOsYGfM1AsiG/QEM0SD2IKFEEEn61ZcQ7ESe2WkE7T5TP+dLB6pD1x9NwLhOALZBl37WberGECQa6FeJQMaGhmXA6jAxc5spQAb7eGQhakYWnuNGszrQppNyvDiyRQiQjYojO6BANlTmLGQBTOYwVoIsAEkdUBCt3qCGpTpeLARkw4BiLAJsogBFVaLjUb3uKYgG8lREJrAWARV5dJc9lCNH6rMQkNCg9zmEzD3+d7JI3QHO5WYvQQDHGMSxaDQC2HK0XE8i7Fnac5tX1yWIVncdAuY2unGpYHIWAYCdqm3pAuZHMoB9bRHjtUTLfhoSx9UiMpJ6pP3C49XpWF3oKdd269OZgzSSQDxG1geyYXlBvbVYrUc5sY5cU/S7MRm5kD72Q2YZgk3DZsRpy/VTGLhWQ9e83KBtdxCJoLCqx9ISeSaj19eMZnVIWAasDnHTaAALCbwVWxGGJIfAW3E18PdjIRrAcDEPyEbFkS0mvrRg0IBs2PRYMZnDWDECzBtJ7oByBGjKsBz9Yx6QjXIw9IFsGFAc9NlKBSYLkditRUjcy5XOUz3ivjkIqHBxXYvxIgwgz0Y8tjdVHXApgQazQuuYjwC1PcgR/gF9OelEKlEhsrTcZyHMYmRdtY7TCMDrLAQg+rrXhEH3+9q0v2dp2c9E+vdNhGl0TLg/Vscico6ZCADcghyn76UX4zUCyPpzXjbRG/YqpP1K6O7IVUSgb96lnxuJSENO0Pq4xBObgUpraQ8B1ynaHgWIPKADAfYrgKdSlQhoNIDU1tdMNIBBtQxYHcKWZpzVLOB3wyHO6rFuCmTjOXtFAVkHLoYMkPXNY3+SOaAUI4tXKg4oR4dLRqnhYHrMGyUt8IFsFKDIQ8DQ2YjH+Urg5URH8eoY44DryYgm0cV1reyLZ1ifuUnAOxBQfQKBpncnQcxV93xB8iQZjs0dixy1byVw4okCvsUImJmgZelEANSb+toOtA4EgPWA6wIEsB0l0LgeiPjsicD5CAirR+p6EAF2fTZeFchGbdjH6bWjNuxHkM2J78g1Xsu3S3/mIHPOFKT9d+FJNpA+dcDVPRujCYDmC8BjwJtxncrSi7Mq62smzuqgWQasDlFToHojsoAMuwxWGYu2BEC2HFlADhHtyXtoKALZsClbmyzDmHs1kdxh7DAZtrZXFgFkw86GjQj4G4GABueU9RhydJ4ovJU70nWOWiUErOsb1nK0j+owEnFEWojIGGoQ1rUTkRE0EOvws4tQ7GUFcSMQwHY6IhOYScBAujaIxwaPRkCrA2aFCBD0Q+Y51jftDHDe720phBTzgWs9AXDdH/psDkGmrNnAK4iWd5se3/fbePWAbNQGKgxkaxBmtADZUDgdbAOyGXIh5Ir1+1UEjHeV1s09GwaZYxsRze99iEQgOF0QoNqz9TUDWAfFMmB1gMwYcz5wt7W2Iuln5ei/d7mLB1ASkE7dMhbfQkA2zFaUIBN6lF6xejgAWd90wXV55ZPFwswhNYexDFubpnkhi3wgMRUJrXQywlitJ3D26dpERbGvelTr4rqejDyjLq5rX7GuI5HQRgsQkLIBORo/ShA/dCoCiMIOPwf8MmjopXMQMGcI0p7WpVCOIoTVOxnRl05C2mY3AoKq9JrpJsnIIb3Ux2MR0O2cl9YiyQR2e59tRcZUT+va0/Eab6y2EaxXYXlBNsFG3Uk5RiDygXF6fZcGNl/v6fTG+7WccxAgX4Ic5x8C7gf+isXQ2/U1IwkYcMuA1ThmjKlEBk4HMjAeAT5lrU0pV7IxxgInWGu36N/nkzpYvYT/4/vUMhmjWpwCqqhgDVeygoKEC/IkYJVdZh82xtwM/DMSNLsRWXCutdb2CdvRVd4MWO13U4YkXkIEH8iGWdlDw905SiM2JNPVliCLWTPJHcaOAI0ZtjaxKZCdD1yIsFZHkWerHVm0m4jWKx60lmZ9ZmcSsK6lxGbT6rUDUxzgugZ4HWHiwg4/pYiG02dg9yDgaQYC5BYg4Hcl8GqqGyBlKWcS6F6nI23TlawgDWAYdnpLVQc8mSD6g0UAWa3WzwfAhQgjPREB1hu1jGFmOFF2uEgJRJLx6v/txmt4bDYTONs5TarbUOXq59oRUJun13HXAgGrTt9rtT1ORkB9C59hF//IAc4qvpbGxmKMCTZQCxe+wLPP/pYrr7yYp546j5aWQk46aR1/+cuvmDGjGbe+wsNxui9j/WQZsBrHFKzeYq1dYYyZADwKPGit/UqK3+8RWFWv/y+ynOuYyYtcwXMcJY/XmM7zXEsu9XyW5WTFvYRobL7F8zRwN/Aua+0rxpgy4DLgvgxYPbZMQUE8jawDslF6xWEPZH3zUlgmO9Z0bEuyDGNHkHScxz1bqwDkDEQ/Ohn4OwI6W+muVyxHgEP4eWvR908kYF1dXNftvWVdNSaoS0AwGwFga4DXXFQBjQJQQazDj/Myd+B1P3TF/XR1fd5adqVZnhy9h5/xqQkv4gBehqi+NB0LvlSgCQm6/wbyfDtw68D+mQgQc45N9SR3jstD+r/HqY8JAGceATBNNF6bEOmHS+/svles323SJhiJzIkufapkKRvFaJaxgH3AjypKueEbj/Ptm/7KSG+Mf/zji/nDH97F/fd/hxkzGrnwwpspLGzklVd+QaBh/a9MlICBtQxYjWM+WNW/bwfmWmsv1b+fQgDaT/Tvm/TzS40xzwBvQdhMC9yMMBB3A8uBLyAD6MvW2p/H3Pc2cxpwLcu5mpms4gqe63qzkjLu4jaW8iPezut0YLiHd1LJUtoppIyNXMPdlDOW71NAFbOstVfGqd+lwDeQCe0w8FNr7df0vemI88BNwL8jk8Bya+039f0C4E7gCmRX/nPgsxmwOvQsBGTDrGwpwrpEOUEcU0A2bCq5SMVhrJjuIYPiAdzjgq3VFK4uxWsjwkCuchmwFCi5mK1R2uxmgmPUIuT5zEb0lGsRrWuvWNdUgKv32RwEsPoOP1MQ4FODbIAmI3P4CiSeaUonbKH7GITJ9JMV5BKbJnZXX0t69L4zCYLuu1O2Ndayz/uc369NiLY1bl09Brg3GeDC70UBYBcHOEtfOcjzkhu6/0hkk2GR9dUgQLZIf+ZyFiVcTxGVdPKzqWWc/5NWpr+jmYms43IeYR4HmTPn45x88nbuu+8xAO64Yyaf//yt7N79eSZMaEWej3usxMLN2ABZzmAXYDiYMaYCuBgJQJzUrLXnKbM6P8SsTkAm8clI3ud7jTH3W2trva+Phzix4qZTwyh2sOXUyyg5Zxwbn5jEvr0zuXTaXYxtq+HB3ZdxT8eNfCznr8xq2UUV/2CMuQ1xlHjJWutrzBqADyI77XnA48aYtdba+73PLEW0WCcCq40x91lrNwDLCGIwjiRzJDJkTVnB/fqKMV2kfc3YeMRBYRxQakwMkPXlBdXDHchaSxtBCtS45gVTjwK2U4llcfOM4SjJHVCO6P2HpVlLNfCAMTyIzA9LgMuNYQMCcNbrcXcdEs+1yxIA2SnABcB7gAJjOECglV2LaE1TZrI0OP5KYKUC1/lIxIMPGMObet1XraVZx8huffnlHEMAXKv0Gl8E8rWuTyOZwfalMh50I7NXX8/ofcoImNelQJkxXckYNiOMc6+eFb3vVmCrMfyBALh+zhiakPS3Drgm69dO77qdCKDsy2QKhgCA9gT45hPIAooJWNUGIJ8p5NFGIZYcMAZLNm0UsYNzuYNzgU5s9rpQAxo6OnJYsWIcN9ywGwHO5X1V54ylZhmwmtjuV9A5CgGqy3p5vTbg69baduAhY0w9Mim86H0mn+gQGmIjsutpzTuR/fMvZddfCplySys7T/kHdllLeW0nry4bxXOfn03tglbIPgzfvxVWfRXaMebmKvjhNsjpANuBDGR9Xd8AfNsYboRXR8i8vH4MnPJDeX/2YbjlDmPYCuXXwTefhY/+pxTqSzXww+nG8MNetk/Gho4ZZKE+CXkmC7xXnjG0IuyLezV7P495djGOZREwdHnEMj/u9zwg1xg6kU2py8jTGuc1XCQIOcAlwEeAEQo2XUzUVO0QoostRDJvXYZsqPOBDmNoRABwPd2fu1Q3TzkIUXA9UGIMdYgE4FAK1+hEAG0xErT/Ii1rqzFUe2WrR8BRTxjSHERqcQkC6kcaQz2xG56+fCam6v3GGvGPOIi0h8uElU3v+7Wnlh3n5djVrASfCb+Ejc2lkA4sOTRBZzGPvieHrBzAGAAW3W445fI6nvz+W1ixYg0zZjTy3e++C4DDh/O0XB3IPJixAbQMWE1sV6pm9a3Abwji8/XUDilQddaIAGHfnLg82lo6iihb8xyXrrmPNXyXrd8DY7LAZEGWwRhLzpYdFMzcBB/dBO/pkLntFyfD5y6Hybvg65vgTyXw5YWwawy0Z0FHDixYB7wER0qBS2H6WrrylOe2wlENmlxbCFMcE9ECxR3QdiriXZqKTsl/r3W4ebIf7+YxslHxFUcjYySetGC4gK9+M2WPXLzLZCk584mVHsSNiDBU2FpjmIiwcucg4Gcl8FJP05kaQykSXWAhsot2rHgDAljGIsA+ysGwytpoYKWM62kIy3gixDKuadT1PIQV7tT7OuatltjsTbvSDeWlWmEXLH+2/l5DIB3YbC218a+Q8n2MXtslIGgmkArs1c9E9ivS9r2VAoSdyXKQ/k0l1FfKIcH4b95NDZexhsoxdN0AACAASURBVELoeB9X/G4Pcy6rYRobeBuvMJPDtLUZLlvzbq666lY6O7O55JLH2Lz5NE491bVzNgMD1jPmWQaspmDW2qeNMb8Avg04DWgDsuA4m9BHtzuAsC/drZLR1DOV03kEgDxqeJv9JYvsVvlAB3TkGJqemcOak1cjk8hUyKmAW7bBd9bDAwfh67+E634Fp/wO1j8KU/PhnH+EljGAhdwiuV7WGGQxPAANDbB1I/Ao5F4Nv30T3vWM3OO+90BLK3Lk509Ao0hh4jKGdnou0I98LwOA+88UcDqGJebITIFsGbFHvHP152hlsrqlCkWkBccFkNVj2QZ97U30WW3PKBA7GQnP06W1NYY2UnAYI5Trva9Nj5P/aAz3I31/LnC1MbyKHCenlctdJQXPA897MUZdUoLRqIMWwggWIkDxTP05Tk8BohwMq6zlReBFYyhAgPBZwPXGsIkAuMYFJlrX3xvDvV5dT0L0t5sQpmAKIiOr0LKEw2kditcemj7UJSHAGLL1erO1jtcaQwuxutf9cQPhS/slApH7EF3uNASE32IMFomYcACZX+sR8HwRASjfiUiNks3TDQjYTgY4E8aaTdUUhE9DnpVT+RBLuJEZVNKMaW9n5o6nWMZKsr175eZaHnnkAeABAL7xjTk89FAdixc7oiqXTOiqAbcMWE3dvgNUGmPmW2tfRXRUVxljfoJ4UTonKmcHCAJOp2ObkQnOdP2nnjxeYxrPcw1FVPJWBQgzeZqVXMk4fs4MatjPKN5oP5ELqvbzwjda4Bs5wM9gWR08cgG8+TF43xPAXMgtg3efBlMPwPJceHkRFDwFfAvOmQJ8Ep74KlyieauPXg/1mlbx7FfgmX+AynI4PAYOXAWFeUjGFH9RrCK0YIZzN+tkouxtSrvyURHvdQvxEgLAqQDfpDv2DABObgo4HRiIMV1ofY2sA7LliFbvMNGM7HEDZMOm9a7RV1zTcVRAtMPY5ND/8kPa2rgAt6e51rXsHYgTymsak3QRcB0iI1mJxPhMWK+Ia3YS6Dnv1zipDrhegjCu6xDZ1lZEklJE7AnAGfpznAJ8/1lbDTyOOEItAK5LBbjGqesFCPGwEnFCrUU2cs6RazFwDdIfLqGB+7lPyx5vPjyM+BtsQYiS6YgmdzKi+a0lkCU0E8hRskltPqxGQOtftcyzEPa5CQHi92o5c7Sdluj1V9GDfu1LM4ZRyDPhXp36KuMV1nA7h7iStSxv/iqlRw7FAFWADRsKqawcyTvecZD77pvId77zPq6++kFycy1S33ZCWuyM9b9logHEsXA0AP3fncA4a+17jTFjEWnAYmSSehy40Fq7VD/7CUTjWgB8DJkIY8I7Rd0DIuOsQgFVTGYNV/I4hbpwd2D4IxewjfNopZRcjjCDN3k//8HXaND7zyfYMf/EWnu73vtqMP8DZgxMeB2mNoAthxefgeebYemtUHshlO4AdoN5RMv/E2NMIfAD4HJgL+T8Ejo/Ax3nkvxos53kDii9Yn904c6hb46j/Pc66PkRVOTnMgBYzAOyUXFkyyASyB5EYnoel0C2p6ZsbRGJMxalM16PIAkZko5XHZtTEXCzEAE8zwNreytjUNZwBkFc17FIFACXTasu9HlDEGg+6tWOgF8XDL4MAYjPAH9XJy53rWyi5w13tH6qXmszwlL6G3S/DO4+IxFgWKffq9aXfzQebzOeS5AitgLpx23aFhsRpy3f2TbV9jUIKHZSgVZUKoCcEPRLv6ZQriwC9nQeUvetBHKMYmQTstJadhvZ1JxNcfGnusVZnTVrA7ff/kduuulTHD06moKCet75zif4wx/cGp2JszpIlgGrQ9AGM4OVaqQmExtMexIyafpHV7vSDS8TYn+SxcIshISe1V2sUE8m3nQtAgAnA7epBvF2HrXpgOBEjHHLcPfUD5sCgbC0IArIhvWK1UNFxzkcrYfjNdFYdWxti14/lyDt6TQE9DwP7OijI+BiAtb1FITZfAOJMrCb2LBHUePVBaIvR+bVsQRxWQsQ1tKx3g5Y1hKttWxD2NqZeq31SJapSqLHdSdBNi43F/doHlZt7iwC3esUBFz6yQrSCsXlAVcXDquNALgeoB/7Ve9fhMhg5unPo8im5AjSTvOR+q0EXvc3tEb6M5PBaphZBqwOUTO3mTnADYgOKL3cxctsn+Yu1p3rBIKJ002e7cRmgtmFMF19sdA49idRLEz3s5PELK2v1RsyTKYHgNNleJMxxp30LlB3t/eGKgDWZzMqZaMDGIeJ1itmgGwfmm4oogBt1PiNGq+dyJxyAgL2ngGe0t97eyrifh+HAMYxCPtYhYC2XVqGdE5FChGQdgYCAJ2cwp2+hE8ADiBzY4OGq3JpT9sI4tQmA51ZyLPtZ+SaoveMceQiwTysm4TpBOB1FgKytxAA2JpU53FPF+oY13YC4NqAnD6mVdc4dZ9OwJ6OR3S867Tep+g9OhFgvMpaDse9ngDcnq2vstHI2ABbBqwOYVPA+n5kAFYRHbLEZdQwwO/7GqjGLZtMUKOJBa8VyPHVbmJ3//v666hWy5FP8oxFxVq2epI7oBweCLa2PywEgHvjnRt+LwyAe+UAh0gg+hUA6wJXRveIBe649QjxpQUZIJum6QYzlWepCGEtS4lNvenGqJODFCGMpTsCd2GhjhA7Xmv1/6lKcjr02j4zV4cAn3XA1nSeTSNZsVxUgZORea9Sy+xiyrpNlAsP5U4ARiBAbwYCgp4H1qV6/76Yh3WcVBAkKpit5eyKOKDfTVXmMY2AcfWBawECKM9ANJ8J66rsqWPG5yB9vQ5hx7fr/5cgbPUaBAhvTxlkyzXTW18zQHXQLANWh7ipJOAsRLCfQ5A+zmXwaEdE7S/19Oi/L81Iru4pxGaCKUcm5xgWtqehbHpRtmwCrV6iXPM++5MsJefRocTW9ofpAuQ0eX0BfMMAuDcOcGEGONU87g7IRkkLxiDHivHy3g9rINtP/TkCcQjqk42M/sxCwMh5BKlAK5H5r8/GawRrNw7Rdr6BgKmUQ0NFANctBIkNmhAH0fAJwDitnwPoWYgT03MIOKpy2cHSKEeyebjLoSvsNKbPRzmxaWJHEcu87kw21iKAa4e2xesIS7lE674KAZr7CTTHLoJITD8YwxQk4sJCrcNK4JWeOgKqJCC19TVz9D+olgGrw8TMbSYf8cYsR3aoTcjg2WSX2SGdo1iPnZwO1r0mI4AgLCM4PNgpK3WSHUFqDiiOrU3mMHYEAVOZAaeWBhOX6lFvPrGAqaeRH1oJcpSXEhtT1gHZqKgFfQ5kkzDlPZGI9BdTnvJGoYftMJ4gFagLZfWStTQmGK9RG9J449X/uwMBeScSy+g51jXVDVE+4li1ADmm7gKuvnOWftYggLAcCX21FDlSz9Ky7UckC1HygpTS/PZmHtaoCz7zOg7YQQBetyUiHxIA12oEfJ6v9d+EOCu/rNdsV+/+RQi4LUDieb+gmdT6xIyMiej1tQ8zdGWs55YBqxkbFFM2w6VZ9DVYlpADwf9n78zD7KqqtP/bNaXmqiRVSSrzRCYSAiQhhEFxAokT2moLLTYCrY1g0wLaIkgICI6NDcgH3YqtgKiAogIiytiYhCEDQ0LmgcypzFWVqtS4vz/W2nXOPXXuVHVrSs56nvPUrXvumc/e+93vWutdCLPQJ19UvY5SkieglOkmSRPGkCSUY5qt7S7zAeB0gF2y3xligVkWXja3q+5VhADcI4hb2kkHuaQbF89oAtt3Jga5s8l37WC8vyooaHubhgCXaQiAXASsSRGwZdHRu5KovdZAu0dmEPKs1+txlyP9U9L2mgC4vhmPNdVznYqAuZl44QX1xHoCLHEKIgBHEt2XQD/s74sT9sOqSzseD7yORgB1O/saVgDBp9jwPl1O0PNdhDCoQ5HnukqvpUrvwVsIi7q2r44FkXWvRWA1sj5jOvsuJ3bmPwoZKHYQO/vf2d/csTpgpZKAUoyAnmQJY4eJ2NpOWQJ1hzDw6MBoCR4oLcYrP1uof/Pxyqw6MJrnW1rxSqs24j1Hp4dZ71tqkXfAlRZNBZi2HE/vgrq6T0PAXBHCuC3OFOMWp70OQcDTCQhAM8gz2oEwjYdI0l6R98IPXDfiMa7xgGvotSKyVkWEJxgO0c3DEgz3EkceUNtGGR0TueL2wzpJHIvHvo5H3uENus0AvEIWB1DXvl77SDzGtQAByhOR9lQN/BF4MZNMamT9zyKwGlmfN5VeGUlsAsFQpCPzz/63B91r/dGUfdBiDAkTxsoQli5pwhgSq9cnM/qTWQ/p5nYlbMDvCo+XLJKFJMI4QFGFxO1V6Xd+8OqvL9+IMHupXHNW2DkluK5UrrlfAGCNZTwDAXQ7EaZuRXcmSvr0PWcgLnsnCbUTcW87hYRE7fUIwtiORN6F9cArCOgOLc1qDCORa51Lgms1XlnfsARDlzTUQbFA/+8AZAP9sFvC+uEdSAzue/Q8RyNtbT8S//m2XudOa2nTScFsBIiP13szAAG7W5CJ38RE1xrZsW8RWO0nZhaaAmTGOhQZnI4inUufj1ntDtP4Kyd67RiAkcgg708g2AYc6g8DbmfMmPZYvWQJY46tTZaAchjJ1O9KQYZ0XNyprku3IllSINZXQi18QDYMUFQgzy2MGav2J5YkEKbvyrNIteJROmC/2wCwMnwnISBpAuKqX4zEP3ZrH+DT/nSVk5z250pEy7QlSXsdhPTxExDguhcR81+vn4Pt9QjS983qzLUqWxuvIIIDsmGsbJ0vHCBXz3UKIsd1kp5LDbBaz+k1hHXO1uvzhw7kIMzwcuBJ4C1radV+ZBQCYmfpKR9AwPegdK816b0QRjd8fI1iVvuERWC1j5uqAczBy1ZsQgbuHLxsxdeA1/uCGkBvmnZw/vgrx8QaYpMHtgF7+gpY6QkLsLX+AXIgXtWcgUgYRh6e6/ko8s65965VF3fvwoCpH1hmBGAeT8/Kb/rcnDh9IiAbZMb2ZoJ9CgDgribA+QFwE11nsv3/d6glbwzlSL95pn7l9DdjKll1h/kSipzCQBWeLugqa9mfZPt85NxP1+33IRNwJ3fln5C6CUWZHqcRURNYirCcDuDWppEcVkTHkAK3ZOt5WDypsVxE8WAZ4uIfQHg/vB/ph4bpOa1Fwl5G6ndb8eJeN1pLgw+4ulCBfN2mTPfR6eeqagCpja+RGkCvWgRW+7ClqbOaBfymp3RW+4tpR1dKx0SuUjxB8Hb3VV+Ng9Xr8FfcSSdBKBGj1kyI6xcvEch12jl4sZf+WE5/QtF+hP04RMdY24Zjld3uLfNpbIbFK1YiA3o81YJec6MqAM8U8HX/55AY0JYh4HE0AuBWIMxfPfEnSR0AcBeuuZhY1vUIHuu6PhGIVDbWxbhOQ9jWZYg7/Iiu98e/T0UYyal4Emz1eLq1CSuMEae9Kvg/EQl5OBkBdvsRb5aTu8qmowdgP+IFm6vntEuPUURsP7wHAcClSDjAGN2HXzKrBi/GdTby/rfovt5EgOtbqYDyNHVWZXyNdFZ7zSKw2kdNgerFSMPu1QpWx6JpNmsw/moYwmAE9WDT1Tj0A8uuDMD+z3l4wDJT5VmbusJYKugoInnCWBnS6aeSMJYy+xNZfPMlK4YxY0EgG8PK9sd4wAQAOPi5CK8YQAXSxrcjIC4InB0A7kzbirfOhW2MxmNdhyOSTU5PNG4ikQLT6QhQm4aI4zvgWhfy21MQZnk48DrCftaRWnut0b8leOzpOgRgr9D7FtNeNa7VvWfTEWZ4CgIE9yAThF14HoBDSN82EI9McP3wdr1neXpuoxGQvx4PwOYhwPU0hFU2eo+fQ+J+t4XeR7l3nRtfI8DaKxaB1W4yY8wW4HJr7bNpbyuu/8S1i+/jEgo5yBf4o+/bfFzt4gQhAcaYsUgnl2utPa6BQQBYOiHtsUjHOEKXZjwpohqks28h/qCYh5fx3ZmYvrDPXQKWvW3GtA84yRLGSpDrTpYwVkOK+pKRxZoPyAYBrAO2DcQviHDMxO8ZQwUS2zoPAUGLgNfc5FQBsN+TkK7XImxdLh37hTYErFUgz6Ae6Z83INny9YQD3zYk9vMkhPFMBFwr8MqedrhW3+8cezoTYXMbUNkq3S4o+xVsr416DeOQPvIVpHTuNoQ1DVMsGIKAYve+7dNry0X65AqkX67XY6D3shzpmx1wrUNA+Zn6+1yEhX7Kf63q+k88voabN75GIQE9bscVWFUA6UreHQGeBq6y1tYl2q4Lx4oLVo0xZwDfQeJl2pAG/R/W2nfMQjMfL6s13MLBKkhjfdUusE/HO5f+ClZ94t9dTRqJByzjsSQDkDgrVyJyMNLx7kBm/1t02eb2EYGozplPHD1ZwlgpMhglSxirQQTO+8173pvmA7JhgKISeb/jhRb0SyCr1zwFAXIzEOZsMfBOpieIcQBwsE8ajZdoNQQtAYyAq9aQbXL1+2K8+PO9SB+/EQ9Euv5tCFJ4YCzCUm5D3NzjdR+rEAZ2lbXt4DDe9bgwq9OAs/W8XXJrA7HtNlF7bdT1Tre4Au+9y0XesQak383DK9oxQLfN0u0MwvzuR4D0SXi6sYuAJ2hiDEMH/YqamkKM8Z7vnDlLWLz411x00ft46qkP0dBQxKBBe7j++ke4+uoN+isZXwU7RNaDltPbJ9AL9jFr7bPGmBHAM8CNwDcztXNjTE4yAGiMmQf8FbgB+ATSGK8BFplh5gyuYC7CbHTGqoG5ZqF5oSdUAuJdbwBYdpWNcEsYsEzkhjucYJ1fID1tYGlMexysW05DBvmdwDZj2sMItne2FODxaPosanXZkei3mokcBmJHB/4vNab9fUhWkvO4Zmv12l0M8jr/Op/+pp+RnaN/K43pAGTbwwv6MpDVa14NrFY39mzgY8DFxrRXS+psfxw8VhvS9yS6H4vcB010mopXgrQBTdIC1qnGqQPArp8sRkD3yQgAr0YYxm26PgchSLKAjyPArwXJ2N+sx5sJNGm7iecJKkQY1AnIs34DAXG1dOybj+oxwyafHdorXv+93XevXAnULF2A9tLBFmFZS4AP4AHbHIRIaAROp4j5/JwKWnJyuP4HP+fWa5bH3Pn77hvHo49+ivvu+yGXXLKVSy55L9/85hV8+cvXkZ/vii/MNfBCpBLQs3Y8glUArLU7jDFPI50Axpgy4A5gPtKo/hdYYK1tNcZMAH6KNGCLgNwrrbWHdNstwL3APwGTjTFFSQ7/A+ABa+2dvu9uNMbM4gjfR3ToWvgN57KRDwIwnT+xgou5iBuZFOKCeJ4ZLOUCGhlMCfuZytss4HfGmAeRzuAJY0wrcAvwiG71T8aYW4FCyL8bGu4EBsDyEvjYjVA9H4yBcc/Di/8LVVnw7VPhjq/B+5+D58+DU9ca85PlcMOF8PHl8PhcyG+Br70GN6wCGqGmBT73Hlh0IrRkw/QV8McHYFgdXkd2iOTgs1PAsjtMGYdVugDtGbyunOEYpGRilTHsJ1ANJuimiyx902S4fbrENQVZLpkjbKD0x+7lGUMtyRNQavpqMl53mbY9V5UrFSA7G2VmFciGVViq7ktAVnWa/w/4P2MYjoC964xpr7K0rCfPV13XS4Glvqz46cBHgC8ZwwY0Ucva9nHBgdM/avjNTOA84FIE2NXoNT6JsMc1vmudi1dR6m3dn59AKEPiYE9HJufrgT8h/bNLBItHToSFR/n7+x163i5m2iV3ukIbOb4lGw+wZuOpk9QjY/QgPW6L3q8ioJXpFNNMCXZAPiunfJqbmcV0lvJh3qaYFtasGUxFxU4uu2wrAN///hIeeugi3nyzlLlzD+MpBUxCqmpF1kN23IJVY8woBJj+Xr/6BdLIJyIv9pMIuPhvZPb2XaSBlwK/A24G/t23ywuRDmSftbbFGBPvuIVIp3BTyOpHaOBHwDJe5EQ28iE+wR2MZT8P8vn2XzUV5WAbs7E5eewbM4i1DaNYvP0Szpz4CCOH72PN+tN5fd/PjNmbDfbPUHI+fOshuH4zMAAWf1XCet5/LfzuKXi1Aj7ybXhuFHxgF3znTMiaAEt/DPYonP8V+FwOvPQAHG2ChnLY2Agrz4XaZrh+CtRcDk+sgfs/A1eeDDf+EW680lq71piyHyNZ4hOAZnjtYaiaaK29Pr2n1rdNB7GNugDt0j9VeAzsfGCUMhbBetz7+woYP5ZM76kT2o8fWkM7W+sPQXCfRyHMlgO7JcbQRPKEsRqSlLw8FiwNIOvCC2bp/0O0LYTpyO7pTSBrLTuBx4zhcQTwnAl82pj2rPMNPflc9VhbdfmzssBOYWC+TgicwkA1EtowHXH5VwM/R8DicN0uD5mcrYh3rUiG/WIEEJ6p61YBPwFWpxMm0YnEU1eWOKiC4oAr+hvHrBpdWpHxxuUhoOsLGEIJtRRDVhYtOUXsYQZ7OInnaaWAfYy4YTltv87ivvvGccklW7juujOprNzG7NmHfZfSjLzHkfWgHY9g9Q/GmBZkIHkKuN0YMxQBEeXW2gbgiDHmx8CXgP+21roAboC9xpg7gAWB/d5lrQ3NPAzYIKSB7QpZt4tWyoAW1jKbkSxmuv7uAzzBw8yluSiP5267hZZflXK0rJXXP3YKmx4upHJCK00f+SCb21oYvMtgHiyARdfABdVQWABjZyGdVCsU5espvwPlOXDeARh7AF4fCx9ohUWzYOEimDlWfnfrOrj+XGAfzKyS03+lEUovlfUXVsFfsmBTHgy6Df4ROGs3TH7ImLblkHcpvPwYnPZd+f3vWuBfrzSGQSncr2PVBiLgvdi3ZBnTXmLTVTByTEFkfc/ykdg6f0nV3MD/eUC2AltXajVscev6bRJdF6wY8UgUBJZ8Y2hDXLpH8RKNGnTpjYpsuQiIuwppr7sRtri3Q30MAkrnI5OAAiSUYzcyES5AvD3OshDweQEw0Bjq8GSmnMegGLgSIWraEJf8OoQxnw3id+tl8wPa3JDFz8TmMIBcmpGz/sun8snyQaC5PxzF5MtHMf2CpVx55df5ylcMAwbUc9ddd5Gd7T9mK3I/I+tBOx7B6gXBpCdjzAzkxd7lY0SzkEaOgtk7kQDyEl13MLDfVIAqul0bwratCayrIpvDQA5HKaOSLe1rRunxco80ce7Xb2SLvZQB+XXMqP07a1d9nv1HRlH9f0Ok+7CGNgy8UwMXbILm98CuVYg7qQbW5AMXQMVtyAy0BjZOhut/Y+03f2ZM9Rfgiq9b+6+r5Pr/ZQqiXfdlYy4+B5hlbenl3v27+BxgnrWDLvO+W/RDWFQMP18AfAnmnu+/5UCWtXw5xXt2XJhWwPFX5BqFJEzswhdCgMTB9jt5oePVtKpSIpkgP5PbTAoJY8Sp634smS95J17d+ybCKyxVW0tDD5zbGMRLNhuJ91wMvNFT4SE62XfyV5OBJXjxrHvwmNUTEdf6Kl2/1n+O6k2YjrDdM5HxKQcBrj/U68qhC9eqcbWZqqrmlxZzk7x6YrWhXQiBK1oijGsuQyhnKLQVcf7vGhl5nsGSRR51DGQLq76+j+WPnMLjj9/M+efv5fbbp3H11V9l+vRbmTfPsavZ0L3vV2Qd7XgEq2G2DWnMFXGSo25H2K0Z1toDxpgLEDeI31IaOKy1R4wxS4DPAC8EVn+WfJYAeeRzmDoG+s7Q+5zd3Iahhay6Bka+up0itjOEN7mo1WUojgYe4eZvvQ0UQs2n4IVX4Zp3gFIomCA/Kz2X9qpGU0+Aj/yDMQyBsjq44ovG8DJwGD4zFR6vFvmT8hw4FHatA40xRdbaI75zWInEEzYAJ1prEybMHO+mtcBX6wK0ayW6ONhRiPzMcGM4SKAqV7LM3ch6x1SJ4IAucU0BUAHhIHZE4Lv8QGxtXIDbXxP8FIy761jvX6f3qoRY8HoKXmhBM/FVC+ozdG5bgC3G8CiSzHQmcKExvI6Aua2ZnFDopGciHkAtRQDoMuBB7T/8tgxYpvdqpG7zYeBfjGEjXsjAXuSdccy+S4YaiCRbGeT+r0RiSmcAX0Ti8bcgSVm1JAaY6ZTtdefRjJeM5i9E4hj1IgSkBt95x3yWIO/DRMSrOJgNVDGLculZG6uZxRLexwrGI0D0jEUXMmPG23z849UALFiwinvuOcxjj01g3jyXjJVLJF3V4xaBVcBau8sY81fgP40x30ZcsOOAkdbal5CX/jBwWFUEvt7FQ34TeMYYswZJ5MoBrgXmUcRZwGeYwgr+zud5h1cYzQGe5yNx9zaLl/kLV/A6a5jFNhow3M14MJuttbXGtO6EJ3Ot5VUAYz6hHX/hnQ6cG7NmFhx4Gn74JxgyFu47Dz66HAqGwZJr4fy1wDVw11T4tzJjuIX2DmLBCLjFwKT/MWbLD+CyCcBHIXeBtU1txpifAj82xlxlra3WezjdWvtMF+/jMW/KoG7SBWhnKYbhVeU6D4mDbSaQyAXsO9YZuGPF9DnV6xIWJtRuClyc5qUfxI5AAEY7c2sMLuwpUcJYv2Jr9TwdSI8HZP3JXvGAbLAgQtpAVtnF14HXle2ch4SQNRnTXgo0CCRTMmMYjDCjjj3djYDGXyIMZ7vqijFUER4D6v9/FzK+jUYSQCcjiVJOT3Ur4lJvRABoFSL/VIEQD5uQUIAXENA2AVGEOIp47l5GvIdBYOqkteJ5Fob6/s+i47u5N+S7WjwNVueNclWtrF5Xse4vH2hkLS8yiyJMzQc4ZeXjXPbxWO/mjBlbeOSR+TzzzPN88IP7+N73pnLw4BDOOsvFuucgSVYxcdmRdb9FYNWzLwDfQzT2SpBG+X1dtxB4AGkgG4AHga919kDW2r8bY85DdFZvR2aRLwNn2T12pVloRvNeTmMnz/M41wKWqTzFbuaRF6IXeSrvUsODvMSFPMMwLPW0Mgmp4gESc3S3MeYHeszHws4K9tRbyxZj1v8b8AM46z915aOw/RvWctSYS84BexqifqCuzZpSyD8EXyD43gAAIABJREFUE/Jh2iLIa4FvvwS3XC3sz4EDcOEUWLzSmNxiKNoLU3+rmaw1CPsTubVTNE1q2KmLTkAwSDy0Y2BPBz4LFPhktNyyK9Id7d+mz89JTMW1AFsbDEWoIhYwFCZRQmhncftyew0A2Q3+dXGA7MkoQ2sMrYQXREgJyFrLAeApY/gzojl6JvBRY1iLCOSvJzZhKJhYVIAQJRP1bzGeUP5+3XYe8D68JKRUi4zUIu+Li+FsQBKLN+i+TkAmO45FXanXbTVUYBoCBmcg/cgy4G8IYJ6JgN/r8apP1eJNqIqRGPygJ2AvkpDqf7+OhpR6zUXYUZfoOAphi8HL0B+o9+cowra36fVu0fNcag+zx8B8crI+xE03XcWCBV6M+IQJq1m16l7efbeST3/6WhobiygpOcjllz/EJz+5W381BNFZ7TMKFseLHVdFAfqLhVaweodhPMLN3MBXyI2bhJFSBatMmzHmHOAha+3I2O/b2Z9EFYvc51aSVyxy7M/xmITSKVOdRsc8uHjYCrzEC38YQdQBH8eWYnt1f9tIzNL2u/bqA7KVCDCq0mWYLuAxenV4LLhrN/Gy2guRtjccYSO3ImTIfgRE5iD9tgtpcABuHZ64fjwg2poKG24MoxDgPAeRiFqMVLpqDPyuAGHmZyMgPkd/70IFihBQOF4Xx7huQMKXDuo1jNfrfgV4EVFOSCkhTlUOgrH7rjjCUQQcFyKT8zYErBYgTGq9ft4M/B2RGquO2X9UwapfWgRW+6iZhWYaL3MLc1hEHZZf80Wgja9yb5xNvNrFC2yP1i6OB1ZT3x6Dp+GXKAmlFOks60iegHK4L7M/vWmqvTic2MFgBHLf/CEE26zlcLz9RHZ8mq+9ppIw1u3tVUF2qnJIyda5z4aOcZWuepKLnSzU6ytG4iz3I6xsNeJu34V4Pw7o9q0I6DoLOF/30aTX/xbCZL6TKQ1mnajORRKjipBQhdUIuEtEHrhn5mLgSxFQWoaAwLcQVnWDXtM0JDlrBgJslwHLkXvpytkeROS+XnfJb75qacHJdDHCzO5GwGgBApBHIveyGXkOg3V9KzLJ2KrX2AGgdrg3cs6f12OkAli98VW8r5H1sEVgtQ+byTcv08IcDJZy1nIBv2JkB/CQg3SABvhtTwNV6DpYTe9YZNOxPnW8QdOxP8lKctb2F/anu0zjYIcSW5VrNDIQBMMIqvtLbGNkvWsh7XWQLhX6dyBeGWMHEIOSXq0IwLJImw6WXYb4rvBERUbirksnTMZXInhIYHHqBW0I+Bug92Ig4prehQDeoYgA/yIkUz/ltqXtNtgPzkDA4zgE3PnlqOL1gUn7Qy16MhUvhrYNL1xgrf4fBlxXIP3Jh4FT9ZwO6/1w2rHb9HsHQifqPdyqv3XfD0KAb5Z+3qPHSApQO1yPnOvn9LyrIfSZx46vEVDtNYvAah83DQmYjcyQnVRHK17puRYkbnFpT7r++7r5yr0mYmnDmIRkrs3G4wWohTAfDsQWIQORY2G3AzuiONhjx/TZO8ayKzJDQdayjXCXdiPSl2XjNDE92SGnV+v0VwcgbfEgAnAO0sfaq8ZYnoCAulMRoLVbz/Uo0q6GQHsxhWKEuWtF3Ncv6fkn679c39WCgOMq5J4sQ1jGarrB06TvRxWeMsFYJLTBAdc8ROpxHgIKQQD62wjQHI5XCvWI7qsIYWt3IuCwApHfOowHZIf7rm95ugC1w3XIPUttfI1c/71qEVjtJ2YWmnykxFsl0mE3II1nnV1go1jDLpiPnUhFCxNSSEBBklCOSbZWY8qCDGwlwnJsJ1YPtssyQZElNh+wzLSOpQOWqSbwJGM3mzIxoemr7VWk/drB2wnIhM7pnm6FmPN25zkEL57V79koQ/r4nQgI3Imnt/wunvt6MuJqr0TiQ5doNaoeMV9M/HgkHnYmoj9bh4QcLEXAXgEeeAUBgbXIO1aOXM92PJf/WuT5FCPXeBCPQc04aDTyvoePr1EyVZ+wCKxGFlmK5mNrU0lA8We/JgtF6PdsrS9b1x97NgIZkPwhBFsRlqdfX29nLQRYZgpgBoFlVwFmY6oJMX3VErTXsPYbzFZPBHAbfRnykxBZrFN0PzuQSdshOnp2CpH2kAg4u7+tCNv3IQSs7UTAk9FjDtdz3oQwqEsRwFdNN5T39amNBBOfCtGJKd4kdZee3wcQcDpZd/Ounud+hEmdjTCYRq/b6jF2I6zmZjwGNWI1j3OLwGpkkXWDKfuTSFfQ/9fpCiZMQEFiyfoNgNB7UEns4DYKGZxiErmQONg+xUTrAO1c0akm7KQCMFvoenxlzP/96b3oixbSXgfiqQBUIO/xIIQJHYSAtALk/h9CwNp2JMO8GgGsexBG0LXlTikjGEM58EHgH5AJ4BbgSYS5LKRjrKwhTkEEUtDSDdFxHqmfW4iddG5HiixY9bZMQBjlibrNLkQG611kgjYPjwWuR4DoJoSJPU2v5V29vgL9zWLglSjRM7IIrEYWWS+bVqlKJWHMsT/JEsYOE6JV2BdMAWAZHcMISvDiYN2yI41yjn5gmSzTOx2A2UInk3RC1rnknT4Fyo8Xi1MhLF5bK0ABJvIulCOg1SIu6o0I0GoJ2WdG2qsyt64y1miEldyGJE6douewCHjbH16hrvkggA0CWacjewBhN/PxBPaHQ+IKeQqgHTA9QbfdjMScrtfP+XjJWFMRRtVVzJoKnIPEs+5CQOkqvc8z8ZQUXBhA6LVGdvxYBFYji6yfWID9SebazCa1hLGanmblFDT4hdEdWB+Nx8IORwZAJ3vkgIOrAR4GMoPAsssZ4hGw7Pum0lXJ4lfd/80kj1/NRQDhdASMbcPLet+e6iSwC+01B3GTj9BjLwFeQ4BlrbW06AT3VISprNL1i61le4LzKUZCCFw1rPEIgG1BwkiOIMymS3Lys7JFxILTfDxgul7P0yLsqgOogxH2dyWSRV+FKAWcjADXZbquUn9/IuJlekfPZRACZquRtl+GgNmk1xrZsWcRWO0nZhaaAqSTGIp0FEcRN1OUYBVZB9PBLJUElBIEACYawF19bktmdCzzENCQLIayGRkknVt2sC61iAtyiy4bgT0RsDx2TCc0haQG9PKhvfJWsolZU8ix8vBA3HTk/VyFAKnVPZEkqGVVz0GSkErwAGA2sdddgiT/+K8NZII3AQG0f0ey7l3yk/NeDKCjDN0uN1lVRrYSCQGYhrCfE3V7JzHlxP/XIeNPk+57OpK579jTlQi7OgmvwMA+vBjUfSH3wOixHdgdjyddVYiEC9Qi4HqQ7m8x8Jq1HEn1XoeZEXY8fHyNEqz6hEVgtY+bSlfNwZPWaMIrL+ekNV4DXo+kq45vCzCWqcZQ5iMDYDkeeC3Wv0VIJ+7KM1qE8TiCV8XHP2ge9C31xGc3mzoLLPUaXRysP9kjm46JXBGA7WOmrm0/4Iw3mSpB+rpUXOhpJRTpOzQEj82biLwvDqCmzJ52xVSDdjri5j8BeBMBX+vjHV/ZWjeBc0zjWF1G637GIG34EDKZW4tc3y7C7+NR3WYiXpnXA3is6QbkWTggexKiozoJ8X4cRCaMK5FQnnyERR2LMLQui39/mvdnAMIAu0lEth4rV4/bjFfNarneu9XptHmVrkptfI2kq3rVIrDah80sNOmIFmcBv+mNogCRpW++TOVM6ljmIZ1txuIr8QFLZaASgQw/W3uU5AljNUB9JoCBMZTSMZGrHBks/YlcO8LYtcg6bwEWNNm74TRSk74bqcYrp3iOecQCnxw8cLqmJyXWjGE44r6fiwCgRQiYS8jgKXhzyU5usjYcYTODiU+tSELT+xBAtgZhOq3+PwFPsWMQAmxdW9mEV161Bhl/qhBAOx5hNP3saSFwOgK6T9ZjH8QDfi4+NrjUphFSYRDW0z2/CQjD7FQKmpFnWoeUd12cYhWr9MbXqChAr1kEVjNgxphLgMuttWdlbJ8CVC9GZsPplYOLAGtGzQcsM6lj6QeWmUrg6RMSWL6KPsnYs1KEvUiFPatJN7FCK+64wd0N8MOQwTaGhe2qG/FYNB8LmkymrRR5/1KRfcrI5CSFc/ezpw7cbMUDWTt6sq1otvxsBNCVI5qoi61lT5zflxI78RqFhMLspGMSYkKxf2OYBnwCKfOaiwDTVxDGdT3CvvolvsoRl/40hGkdiDxDlyy2H/GsFCAMZxUiN7UCYSGdPF2LXncl4cleuXjJXnuIBbU1iZ6Pj3U9EWF5hyAguQLpV7OR5/wsMhGIuUcKVDs3vkaAtVcsAqspmjFmCzKz8yej/MJae1Wmwaq6/r+KDKrpxMvkIzF9PwkLCdDz/F/gP6y1P/B9vx34vLX2xS6cdp8wdZPlkVkdy1w6AsuuAsymvgAse9sUEKUSl+gHRMlAUVxApMk4w+jIwjYQy0xtBQ4ca88oMJFIFs+cykTCxYJmjAXtrAUATJA9Xe1q0vfg+RgE9J2BAKrVCIv6js9b4So1BavE5RLLlm4DdidzcfsqS7lEqBOQ+7ABcdXnIOzoROANxHW+AQGo7r5NQQCju3ebraUtELYwC2ExXXhBFsnba4fqYkhfXULHMrV5xGdkY4BsyMRkjl5nJcK4HgGeA/4GbMBSAXyVsrIrOXKkBGO8ezpnzhIqKg7x9NPnt39nbRatrTmsXHkDJ56YD/wkCgnoecvp7RPoZ/Yxa+2zPXCcOYhrIt3AbpcEM9sY8zdrbRgTdQD4hjHmXmttbRfPs0umwDLdhJ1kANPFHaUigt6AuKuSAcwIWHaTKcjZp0tc0wGpiHBQNZpYli/PmPaEm3iKCGuB162lOQAYRiEM1Ejdj1/s3AGGPqdp6gP9yYC/C9EI3pdDeMksGQ3R6C4LcQ2PR7LZVwL30sPsqe+8KvA0RY8gAPU3SF9SBZxuTIeJknvHXta/KU2UdPI1Gi/edKLubz3i+n8S0TAOymINBD4JfAeZvO1H3OevAQ87mSoFqFONac/i34PEoP7GWg4kOK9U2qv7Pw9i2usOvQZX8nQgEq5QjLTTPGNCgewy4HndZhIyQXgvEjt7CfDPwCb+ky1cisFayy23/IRvfWtNyCU83f7p/PM/xurVJ3DiifuRsIvZMesj6xGLwGo3mDFmCnA3MvvcC3zbWvuIrvsI0kFMQBrn/dbam3XdWGAzZ/BHlvIe2shlPM9ykTaMBnL4NZ9iF7MBqGIpF/J7CmhhEZN4kcuYyIts5Dqy+CPwTyGntxoBaNcACwPnPQyJVxplrd2v350KPAPnjYC/ZMOwS2H/1dA2FIreglu/A1cfoHMAM4fU2cl6woFl8HcRsDwGTZ9pnS4Jy0kG3Nf+QXEUwh61Azdj2pN4/GB2LVIVqBkBd2XIwDcfGGRMB1fs9kzWXfddh2NBU9HgzSGcwXqXALvVn3Uq4yTdrAReAu5LFvfZzed1CsI6Dkdc4n9GgNNo/d6FoDj2/k1EvzTlEBQ9jmNGT0CA2F4EnDqgeSjOtgPx7ttkBHg+hExUxiDjFYA1hkZE73QmHkB9wloOpnKeGWqv8ZLuapH7OlLPOxcJSShEyJqdaMEC4EHEGzoUOI0i3oPlg3yXZmxxMXsqR3OU9eTHmYC2tsLixafzuc89qd9UA3MNvBCpBPSsRWA1w2aMKULcDTcB5yOD3N+MMSuttU4/7guIi2W6rnvDWvuH9p3sZAxX8202MJQ/cD3vsIJp7OYx5nOA8VzKrRgsv+JKHmM+F/MnAJoppYECvsZP2DnyKe2cfODwjJGwqhiuuR9uvcuY19fAnGYoLIBvfxi+OQUmb4FzfmYMK2Sbj50Hdhc8cRf8eAS0ngVP/RrO3gWfPwN+dC9c/V1igaMDlsnYzeYIWEaWaVO2dr8ucS2JPNKowHcuMWgPMjhOQcBJCQJ6q5Fkk7VIDOA2awn1XAQS1RIlJPkT1fxg+oAeww9KG47FthRHzmgLAlB/gkgv9cp167mNQ6pLnYUAswPIM5uLgKltyHvxErAz3eQ+YyjBY0xPQO7FNsR1/1dgU7zkMGVdJ+LduzJk3FkOPOR/P41hCXJPLwC+h0wCXkbCxlZ25z3OUHt1fwcj7PUUBLi68sZ5QBuns49hbJMrzx7C5tEf5j94D5Ws52z+j7PZTJbvoHfeeQL19SXceONy/cYpBUwC3srA5UeWokVgNT37gzHGz0p83Vr708BvPgpssdb+r/6/whjzO+AzwMJAXOhbxphfI64KD6yey/MU0cxMtvM3tvMuI5nGbrZzGqflPsqqmy/DtLUwaqVlw58/xItfG8L+tcWYRw2jvzGQd/aez9azZiCz7XoEIB+FmZPh3SK4qRUeehuu/Cy89j/Q2gabtwKvwbD74aGL4L+/Cpua4MnLYPAngSVwzZ+B66w9934AY36fBdSB+au19t0M3ePIIusR0wHYSXElY3+c8HzYQFmOgNs5wMcRkJlvDC147JK2QdoQpmcfwvz42dDNxILS2v7MgnbWlD2cQqxQ/ErETd2b7KmLjZyKZNnPRZ7/boSJX4fHtqctm6b7H0xsvGkp4u1aDzwKbEkUH2wMg4hlT3cj9+4B4F3/Oek7PQVhVGfqb18G7kTu+TwkW77RGBYheqa9FjrWyfbqb6uDmc0HyGIwuWRDWxtPf6qQrFynL3sGc3/Qxp++dDXlOql4+OF5zJixnFGj/J6TZv19ZD1oEVhNzy5IIWZ1DDDXGON3xeQg7giMMXORmasTnx6AdEKeVfrcONk00UQ+AE2UU5l1gH2tzTQVV5IzJo/m+jzqB0+gqSKPnGI4OnwS2VmGpuIqPQbIDLMFTiyE18qAq+G32XDWJ2DrcCgthfMvAy6ApyxUzYC3/xdWFMLwQtj+b8CVMHIe7P2gMUX/T3ZZALRkw8N3GhOe1RpZZP3cXMJecMkN+b8FT66nRrctQqR1nIcjG69iUCsSm3dEtwsuzRqm0KS/P5atELlPAxGwX4t4Zw4gE+6zdcGYHjkfF3NZhKc7PAgJX8pCWMDtCJPehKd16u0gtfMMxnVCLGN+BAHsJ8bZrytfPFDPL5dYveN8Pa+P6rYGmVxVIsC4Hpk07dNzmQB8NnCOZcD7kRCYQ4h3IW68ai9bvPZaCBSyiSEUUcJuciA3l/P+0MLID8mWRkMBnmcqn+JNdu/O4623ZvGd7/y/wDFakcEvsh60CKxm3rYBL1lrPxRn/cOI++p8a+1RY8x/IUHjnpk4zyWPQ+xvLOP9N90DwEtMI5fPM//qb7GISWziMt5z20Jac8ewbf1qVn96NV4nOBA2vR9q5gJviwfz9Hz4Sj40NUL128A6KG6Bk0rg203wbjnMfhFhDQZAyenwxZfhlk3yP62kptWZLM60/f++mLwS2bFlgTKYyRKSstAMZBIrEdSm8u5qyUuXWDMGAQdVCDg7hIATV73Lr13aEnLMsPOo6w/hACor5mdPDwB/QVjAtT3Jnqq8kl/ibBQS47gDeS4uwWcdwu6u6EyMsrJ9Y/DKlk5A3i0nvL8B2Jvs+Wm1K+fan4wwr06Sa2uQ0dXjTkUY1JP0OK6SVEoxqLqffMR7cAYyZjn5rV2p7qMzlkZ7HYqAyDakvbjJYimCdXI4CuRzlCKOQNMIqnb/ncv4OzPY0yFu9dZbTyY//wjXXrs2cErZ0LPKEpFFYLU77Enge8aYi5EMUJAsyjpr7Wpkhn5AgeppwEVI7JHfckP3PILXWc5HmMoWDLCUjzCSV2N+U7xH3P5lj75iH42NqTHmjjrEjfVFoAAmTIf7nweyYM3bSCxYKVz8OtxwMRwphp+v1m1q4JPPwz3nw6hn4F9WSZLrglPh2ScRdiFedn8+sexS3OQrY2gjDXCbYF0EgI8zU/dxPE1Q/+diBBQGE5L2IvI+MaVmMwn+rKUOSXJc7TvvPAQM+eWLxuFVINqGFzKQFbimqsD1FSZRQvAnWmU8KSye+SSVnIt6LBL2sBKRFdrd3SBbz8Flo/uBaQkCTLciz/8VBLyejvR9i4G7rE1PrkjB3QQ8t/5ohJVcr/t8wGXdJ9lPjm7vgH0xovW5VPdRF2ebaXgA1VWS+kO8BKxkphOIl4GXjWEYAlq/Zgz79XqWpiMP1on2WoNXtSoLGSfzkUldOQJSGxBcM1C3a0RY8BrgTSZzgIuZTiXvcF/dbYzb9hZz4oQUPP30PM444xWys4Nrcomkq3rcIrCanj1hjPEDn79Zaz/p/4G1ttYYcy5why5ZSNbnNfqTrwD/aYz5CRJ0/wjS0Pzmgrhj49U+zVP8mnzu5yYAhrGMT/NUYFu33bp4F6GDQj38z2vG/PQB4Ar48TJr73hRfvGvGHPFfISBvRTpzEvhtjJ4czdcdx1cOQQGHIUZGxF3UinCtIbpMPpj8xz708GtqYNJDqnrn5YnWNf+vw8ApwRuU1l3PMYS9oYpq+Iy8pMJ1GfhvXv+920DsaA0JRa0p0yTbjbrArRf9zA8QDUFATsteNqbW/RzOxunIEXba8y9qkJYuPbvjInbXoP3L7S9JjMFa1PxWMA2JMHnOaRqVLeBZb1/Q4gtCDFSV7u40mXA43jAYxoCwP4BAdG/Q1jelK5dhfz98aZDEDWGDYjU0cZUGWNlTx2wn4SAzVXAL5DY0w7APgFAfbyzADWeWctu4PfG8Afk+Z4B/IMxvI2Md3tInkAY1l5rELbZhTAUIO+zKyxQh/THrXigNQ8BsU3I+DEAmXS8hYyD64H91mKN7O+bCDsKN910FQsWeM93woTVrFlzL4sWlbNlyxTuvvvhwKUnHV8j6x6LigL0QTMLzXzgNJIEkcex4cCrdoHtkg6cMeZ54GFr7c9S+z0G6VwSyes4l00R0ukkrFiEVEHp0oDmA8BdrToV1IC1ZAj4uu+OFwDsqwiWDICW4b0rqYCqPlHBq7tM79tAOgKwIiR+0i8ivyvR+5Th9ur/vwIPZI3Bc1GvopvYU5U+csy0W0YgLny/Ru42pE/xC8oPQYDWPITJXozo7yYsv6r3rxIPnE5EmLyNeG79d1Nt0wH2dDpyz50o/zvx5K1CAOoOBKCuyBRATaO9ViAegUEImFyDANddBEJmELBYirju/RWuKnR9NcKItuExqOXIBK5BlyyEVS1GnvMG5N5vTMRYG5Gg69r4Gums9rhFYLUPWndVsEr5+MbMQeS3RnVH4QAVmnZsWTJtvTaSVyyqQdiyHklC0c47m/TAbSrFDixdA75h4RGtPQXglM1KRS+xVDdJNFnp8efaX80YihCANhLPxV2JsFsxNeM7U8Up0F6DAMVlr4/T47fhyTVtQgBHxp5rJq5VGd9ZCEgdCrwKLLI2PnjRd3sEHjA9Qa/VAdP1iDRVym1Niwc4175jT/2xp4mqsE1DxOln0EmA2l3tFenHRgPnIvqyTmu1DgGjg/V3/hKrNQgoLcSbeFT6fgMeYB2Ex1ivR+S7Uh4njey3a+NrFAbQ4xaB1T5qZqGZBnwekRNJr3bxAtvp2sXGmF8iWntXW2t/0dn9ZMICM/pkiTDxGLiwDrVPMnA6CGUK+Lq/kH4CXPB/8ErY5iP3Ouw5+Bm4hM+hJ+Mlj0frCtuYZL9G9+Nc+372dCXCTmaqvboY06F4LHIxdKgqtjMZg6nnPREBTycjbtxFiIZoh5AQvX9j8YDpeD0nPzhNqxyv7tPPnhaSAnvq29YxqHEBqo8xT8aWd7m9KtgdRGypVLcM1u336fkM1+O+isQENxP7bvqfay1evz9Bz9MloK1HgHyXvFBG7mXnxleJF46shy0Cq33YFLB+DpnBVxOMYRXLQToHA/y2K0C1P5uPJUjGEDh5mKQJKEgSSr9m9XwAOAhuC5ABxUnelBM7mJUgA0gx4m5rRlx7LtPW6YfW4mWy1yIdf1oJcLq09MUJxLFkgThOf5KRJRa8bkXiYF39+gIk9tSxgC14rv21ncyM97fXMoSZnaDnNQIBBrlIHGIdAiq2Iwxdyu1VC6PMQ1jUFgSgvhp0E6siwHi8eNORiPvagaQNndEY9bGn03W/O/DuXVz2VLf1A9STEDZvA/KMsojfvzlvVKKQmZRikfU5DcYDoX6XvQOkwbKn1QhIdZWj3ERjEqImMEyP/yqirnAY6YNc8YNWPGC6nm4q/KCANb3xNQKqvWYRWO3jpiEBsxEB6hw80ODqJrcgjX5pV1z/x4v52NpksZKlxGaNJ+v4e52t1WsrIHlpzlKE1aklMWA/TEjWeAAAdyUO2P9dFhlMgNPvIgCcxHy6m6MCSxUCYt0zehtYgsQgdqg1n8bx/MoHDjQPRyY7MYDZWmo62V5rkclWlf5dqee+Fu/9zic23rQSSVhzzOmmToJwV5feMc8FeOzpaj97Gqe9DsLTVZ2AV8GsDi+rPWHscLrnHQJI/csgPKWMDoDUFShI47nuREIBzgbO0Xu0E4kVfgF5Rmkx1l0xDQlIbXyNXP+9ahFY7SdmFpp8pBOsRDq4BqTxrLMLbFSjuBvMl4meikvNn9mayKWWdia6L8M7lYz41jjnEPy/Uxne3WV6ja5IRiYS4PwAOCMJcBzDAFiZRb/uqUXYzFpol50aivQ5MWEECcp9FtFRJqpC9+vfx/au6qoq8BuDiNefjui2btBjFSPM3jg8IJ6Dx9ZuQWJsD9GxrSRtr8ZQiceeTkQY2U267zqSt9davKIIFQh4exPRt95JBtqr9mUVxDKjQUBajTxffyxpOyD17Svl54q0wQl4kwLHWLtJwVbkvTsDYVxfQ+KHd3T2WjtjRvqM8PE1vbjWyLrJIrAaWWQZsBDNwHgA168ZWI/M3J173SKdew5eskEZ0nn6B9F47EptFAvqmSYGJYvvTTdGOJvMAV/3XXNPA2AFdyPxwOloBDysROI4q0O2yUXYMn9y00gEkB1AXPaOja1A3tv2hCf9uzuTqhfGUIKwYmcik53FSExkMR5AmogwZjHxpiRmacPaa4PuxyKgpkrvRx6ePF8j0naTtdcjyP3A9V/cAAAgAElEQVSbiTwDJ6W1PBXt1Tj3IhuPIa0kNtPeD0j9y14k5KPDM9F3ZBCxbOkovOfqDxvZbS0txlBObBJaBTIRcPd9c7w+SpUZ5ulSgzzL15IpM0R2fFgEViOLLIMWpya1/7PLoK5EGCs/WEW/c2C1BXH9BXVqwwTe+4xu6LFsAQDc1QQ4t+SQGeUH/+cOAFjZU3/saSOei3qd6r2mcv1+/dfRCCOVr/tzbvs6JInJD2r2ZILNV5ZwOgJQJ+v5b4N2+adxeMzqeiTe9ECcfaXaXkch8d1+Ka+DujiAmqy9HkFc5ZOR+78VL0kqJYAaAKT+pRIBlofoyI46hjSRlJnT9Q0ypk10TGjbZy1WwexQYicFBcTGm27rhCcpC3lPz0Du0yoEuK7uS96gyHrWIrAaWWRJTDtlx3ImynAuRQZtV0EoGcBMCA6UrU0lYawEYWmTxrMBDceiG7s/mw7OnWV/44VKOACch7wjAxGWcDci+7MZT7onHji2eNneQxEmsQoBaI5Rc6EA7clH2l5K6ZjIVYq4tf2M3I6gmznBfapCAMzZyORuv64ahgCqDb4FUotzDWuvNQiwLEeY0zF6L95CgPGaMLYvTnsdiACuqbqfRt3/NuT+hyY+4WlDlxILSgcigDTIju5BhO+TstZ6niOIfTbB57odiRv2P9cs3Waib2nCNykgw1q6OsE6DXnupUjs8ZIw5j+yY9sisNpPzCw0BcgMdijSwR5FOqgoZrWTpm5N/+ASDxSWIJ1yogSrdvakF1y6rgZ2soG5DBkEU0kYqz1eihQcS6aD+zSEeZyJuK03IDGUO+lYIMOB2zIEmA3FE2cvxhNgb9S/BxEgl478mfsLAn4rdRmmf/cRGyqwzSUiqRLB+xAh97FIO2wiFuw14L3/rj2n1V4VYA/BY50n6rk4Sa4dach75ep+ZunfdxEG9Q1NGnNKCGN1GaX3fpiegysd6irvOYZ0ly4HQ64ntL1qmISfKR2tz8A/aXBxw8FEyjyEpXbMqWOsHWu6wVoOpnJPMmHGMAIBrXORSddiYFkmQp+0slX4+BrFrPYJi8BqHzdVA5iDl63YhFeO1bmeXgNej9QAOrCgyRKSBpCA+fT/nyr709dNB6BUEsZK8DKRk2nXRmxtL5m+76Pxss9HEBt7ujfk94Pp6O7No6O7d7ffhasgy+ntZiIBboDurwABxk4ubSDShp2ubzMCkvYjIGU3wi4e0u/dsg8Bdh2SguLcuzzEJe+So3KIzdxPp859Hh5APREBqG/o3yI6uu3L9fyD7vpqfAxpoL0m6stK9FSykHFhgB63DXmum5D3Yi0SNxqmLVuEx5iegLxLjrF2laHiasH2lGnoxgwEuE5E7vMi5PzS6odUDSC18TVSA+hVi8BqH7Y0dVazgN8cqzqrPhY0WRJTKcJGJHLBu8/1EcgKNwU1xaQmgxVMKEkkgxWxtV00BRWOPZ2GMItOu3OdT04oh45xiCORSUgw8SmjckFptFeXQDgAYfyGI0D1iJ7jbmgvM5uNp+dbi7jLm+moIuH0WcPY3jy85KMKvMz0dXov4ibHhcQA5yHs9dnAqch7vlfPvQwBpAfp6K7fS4ou+zj3Nhtx2wfL7rbhsc21SGiQv0pVsL024xX5GKjfb0bKpL6NTHbSrnjWk2YMpYj6wxnI+7EYeCUVxjdNnVUZXyOd1V6zCKz2UVOgejHSmfZYBauetAAgShaXmQogcrGgxwQL2l9MgUkq8bz+iUSyyUQ0kVDzsaeOARyOACzHnu7TEqIjiQUwwxDw4nf3brOWui6cRyrttRQBhWGx2/UIC1iBAMYRCMgoRADBc8DfrGVbyPFdHKz/GgciLu2Yila6yQA91jS8uNEBCNu5HQEoLiEsWaJcKbTLqw3W8y9HAF+17nMPXoKVA6UNJAiVSPaOJ3muMUx4oueqz64KYSKn6D0p0nN3JXGbiJ2c9pv2qtc3Fkm6m4WA7sVI6EXH8Ai5/s6NrxFg7RWLwGofNHX9d612cQohAcaYF4GHrLU/68x5xt9vO3hJBmCcqzmZm7mGCLz0e9MBpYjkE5NEYCcYpnFMTk4C7OmJCMhz8ZO7EcDqB27leHGIDsDsSDHDv6vtNS54MYZiYsX3h+u51eo+RyCs5mLgzXTZRgVzwWShCXjAMh9xfS9BdUvD+hFloV0sbdBlP1D350T7tyHJVm8iQC+X9BPgXAhEMx54tQjLXIg3KRiAgN7dSPWrHXr8I4THCDdZS5teTzAZqgFfvClJijt0ob0m6s+7vb0q430KwraORJ77YgTQW3X9d218jUICetyOebBqjNmCzOD9MTqTrLU7w7fofTMLzXwkAzL8HH/MtdQxkuv4OgUdOvfhwKt2gX066XHSAKs+ViVZAo8/iScpExq5hSMLs4AbOVnMnj/sI9H71uPJb6maT9TegdPhCIjbgVeRyQGyHALC/Eh8aVtgfz3aXn26nH4po4HARgQc7ULYvbkIi7oYyew+FLrDFE2z2/2xp9kI61iDuHad1FYT4pavxwMpBQggLUPiXp3L/qB+Nxp5LpvwZKY6xUz7ztcggGkUkrQ0DmEF8/BKlR7Qc6gjviKE/7si3adLjCtC3ps9CNDdiSezla4ecFMKZVmD7TWVZNVEIVoZaa/GMBiv3G4DsJgdlDOcGZSWXkV9fSnGeNc2Z84SFi/+NW++WczFF/8ja9fOwBjLpEkreeut+3HjKyQdXyPLrOX09gn0kH3MWvtsoh8YY3Kstb0OnDTrfy7SyXS0TQzmMCeQTQMvMZMPsyzwi2pgrlloXkhNJSA/W+tXJ5s5lyKN/TA01ELBIfnMAaQCTJRwE1nGTNmX/XjyRKGWIKHOuYz97/MAY0IBWYcBsyfYWmUd/expFnK99Qi4mISX5LIVeAkBHq2B650DlKmb3H3nT5DzA4GMtVe998OJBafZeAk57nynI2DhQ8AK4EE6kQwTOO4wvKSy8XpNK4H7ELbSz4y2Ifd0KMJAgxd64NQS3kTAdBECTs9AXMmvAv/dhdCJHASgB+OG6/FY8L/q54NpKA6UEJsMVYawvRuQe7ETr0BDIsa3JMG69sUYWki/2IWTSQuuy9ZjuKp83dZerWU/8KQxPAVMZgjv5Xm+iGUT5OSw8NZ7uOH61R02/OhHr2DcuC288871DBnSxO9+N1zXyPgKL0QqAT1rxwtY7WDGmLFIZ3Q5sABp4O8xxjyKBMwXIB3YFdbaVbrNLxD3y1jgPUjsykXW2o26/kTgv5CYmWbgTmvt7caYLOAbwL8gneVzwL9aaw8YY/KBnwHnA9nksp0v8SyVccrNLeF0StjEIDazjnkxYPU+LiGHRpoYyV6+bm7OXwc3Xg831gClcMNZcO9lcKQc3rsSJlfBp/4R6ZwPw5dOhEc/AEfKoHwV3HATXL1W1pkDwFXAvyPvzXjgDuCfkI7nXeBCa+0uY0yZMdyt11QP/BS43VrbZoy5RO/5K8BlSMLEV6xNzgRHFlnQdHA/oktCb4lPAD44KRuBgMb2iZkxNJNCwhhSBjNVgOHY01MRtmcCwpw1Ia7kffrTFt33TjxZqdMQsBeUHnN/Nwe+y7j0mM+17AendQhAWg38CamGZI1hJAL4TkNAyyLgZ52VGVL21JWDnYGAyl0I+F6OMLjvAz5BbNzoTiRb3GXZtwX2O1i3OxsBvy3Iu7RS950LDDWG5mTnriEJwZhaV6LWMeBv4JPmSvHanYKDA6YnIO/pJmRS8CiwpbsmWHp8l8SWSqhDGAAO+50fAPsXB3KbEGCbo0s5Mvlw4R0FuhQa0y6rlqi97mAnS2hiHIvIgtxc1k44i8fIZzYbGauFGb7znWkcPjyQv/71R+TnS9u+5BIXQ+2UAiYhk4PIesiOW7Dqs/cigfeuE3sauBRpKN8HfgWc7Pv95xAQthz4JXAb8DljTAnwLPAj4GNIJzdNt/kqcIEeay9wF3APcCHwz8hgNApo5Gy+zABGxj3brcxj3Ji3GVq+i5fefD+vnjuPggpLc0EBrc+OZO+uYZx+znqGf+Jp3vjlCfDY7XDj3fBaG3z/GvjwQrjnCTjz07DjJvjezdbe/jNjzCcQMP1BYD3s/Sb8+wJrrz4DwBjQa5iLMKznIoB9EtIRTIF2d97dek3jkU72r8jAcr+un6v3rgL4EnC/MWaEPdZjUiLrVVPw5mSO4pqPrQ2L3xxBLNjNN6ZDrJ4/magCAacnIiCjABnwnKs3B2FUXdWjOjrG/vn/9pjXQsHXeDxwOgYBfeuRyeZD1nLY9/si4BxjOAMBLEuA7wfls1I8di5yz+Yi8Yfj8JKVGhDgV4Pnun8dAacHUnBZD0AA7yykj94IPIIk4xzxieY70Hk6MNwYDuGFX7i+bhAeMC3BiyndhDDLKRc98J2f0eP7mdMsvHjTF3W/PVLNSd83ByQzYnqNTmKrM5JnLXjxvg1I6MNY5D4ZXbKIBbt5XEQF51DIPg5CVhbWZLOGmazgbAZQRzEHWfxKMxUVe5g794usXTudgQP3cd11j3Lttev19JuRkIvIetCOl5jVCjxZihettRf4mNUJ1tpNcbZ10iPl1trDyqy2WGsv1/XzgTustVOMMRcC37DWnhKyn9XAVdba5/T/KqTTKwC+gDCN/2qtfcssNB8DTiIsgPsVJvIM1zLz9npyynN5++Y8hpzZzLD3N2Lamtn4y0KMaeOUc/az65QjrMxqhevHw5YlcMcQuH8UrPo70AptrTDkw/DVlbBgPcw+Bz6yGRaulfUtFoouhVcfgZPrwHwJfvkkfEHZqweGw3+cDfe8AB+v9uY9zQYKLoNnH4NztEP/5lR4YiKsegJungT3ngp7fiPrDubAoEth7YMwqU/LpEQWmVouwu44tsklxTid0BL9PxfaS+o6FsmxwA501evfJt/SWwljQVWHAgQ8+8FyWOnMgQiDOBDpL50OajLLIpYhK0LYs3L97BjmgwhbWofct864X7PwChIMxJOZ2k+4ZJHf3LkN1m2dOonBi5c+iABnd47pmEHeGT/r30zsRCVyOadmDqD6Fw/s/hPDmM4gdpHNz8dUcHS/IcvH2c39gaX296t545lpXHrpA/zXf73CjTeewn33fZ6lS29kxow6hN19w8KTPX51x7EdL8zqBQliVtslUowx2QhT+hmkU3Mz1wpoZxB2+7atRwYnkNn1xjjHGAM8bvyB3NLpD0Xit0YBvzHGlDOUl7mcNeSG7OUt5jGQVVzwrZ/QVJTDQS5g11MncWbrozQMKmfz/veSN8iSf+ggOUe3gK2FA6OAP8CL74XmI8ADwADIGgD5J8OeLcAq2H4ufO80+OEc74AWWNkCJytAHfImwhw0whca4dFquPy9UFcJo16Ch38st6D1X6DlZmTAOgq/eA/s+ZG1fNmYhZcAudbyZdnnQIzhUph8i7V2A5FF1gumbFpY3Gvwu2LkvW7DY4ZKkbjEGgSsrECExF8ElltLizJJBcSytPHixAsQdjWVhKfOutUN0q/5Xfoleu6OwXs3XiiBMQxB3PynIy7bxcBrwTKkypA6XdNgpn2JXqdLzjmKMLavI6zsrq6wyPpMT0IY1KmIdqirJNXBDa/n6ldZGI0wnB3kv+jIrPq3KdDf+KWldvmE/vOREBDHmo5G7qHL0t9grbqkIwu1JO3VhQsMQyYYDrAWUUMJkC8ju7V89JH9zJi/jWFs5hRWcRo7eO8Dn6W0dCj3378IgDvvXMqvfjWfhx+ewHe/+6buLyJWetiOF7CayPyd4UVIzNMHkRjWMmTGbFLYzzYkRCDeukuttYvirF8ILDTGjGU/z/E8RZwXiFk9Qi57mIUli9v4IRyBNnJopZDGPx3kFN7mVSYw4N2DzFz5FgUHnuONknHQ/GHgMIxrhpWjEdf9XmithgNlsGEz8Hs4+AFo/rm1jb/SgSyHWLfLzbDkZfhwNe0umSceAf4ISyrhM9fBt6+BPz0DWa3Q+CVkQB0AX5gNTxYawz3wrQnw2zHGsIAY19KfPm0M20g9eN/pFPZ6UlxkfdO04pKfsUqUQJiFBwT9wHAbwpiV4A2CFQgDapF20gw8jgC9VdZ2DDNQ0FWvy64k550T57yrkKz39u+MoZUQEBtyHUcQIOZ3LVu8ZKjnEVmnuK5lBQizEJA6DEk+uhthKCuByQpi/eC0BAF7/gpN7j6MRUD/MiRGdE1XS2eGANSNuv8H/QBVy9KOJDbxaQgSSuBA5jKkDGkMAA+YSwJ8w7fvIjzgOgUJCxtvTPv7koXIaS1Dws42Whsxp51or014hJKTKnMMeKsuLuZbPBt1vMWJFHAqK/hlzaXMfuNBbpi/JuZEJk/ezttvnxQ8OZ/lEklX9bhFYDXWShAQtB9x492exrZPAncYY/4duBdpONOsta8iGaq3GWP+2Vr7rjGmEjjDWvtHY8z7kM78HaCGVo4gjSwHv3vqJU4GLF/gZnJ93/+WL7Gc05nJYwAYsshpbmTa43/X7Rut5QFj7vozsBlK/w/efBU+cxUcLYehFcBH4ZbDcPddxvx5Hsx/B96phZvGwWOPIAMMcMtGaxduADDGzEFml8v1Wj8DO5Zbm/8TY9pOh4+ORUIcBgHPgFkA/BLuuxRqy5GkKweG74DNG5AOwMUmlZM8QD/fmPb62Z2RZAn7PgLAfdh0IuVYlWRFCIqJdWM78LYXAWl+MNeIvHMOZIxC4hqLEfCyF2lP9fr3MJ7u6cZMvjO6r4O6xDW9F24wDl77cCTOc4x+rkTuxQ4EiG3Sz4cRdjMfqDCGw37AqMeYiCQgnY70jVsRlnI0MBsBCK7UaTUC8JfhSUBV4clKORmolcAfgD0ZkCfKx4tBnYo822WI16oeea4TjGmv9DQa77luQyTCHFjvUgiGT5t0EHLd45B7uxi5Fy6ZbgSSw3AysE0n6q6i2OFjRU2lE+31CF5brUXGwmzd3VHf53KERLJ4MapOn9YRTAOQJKgVyORgA8/TDHwT2ANtbaE01HXXreBXv/o0X/7yPO688xVuuOEUamsHctFFG/HG5XUZuD2RpWERWI21B4DzkE78APBt4IpUNrTW1hpjPgTcCe2s4X8h7MOdSOP5qzFmONKJ/xb4I8JQ3Id0onVYfss5/BUZBLzs5vXMYySLGBtgbabxAsv4HM38HoBcihCd1aPmZq8lWmv3GWM+A7V3wXgXfvB3eGiJtQ/+DP4DY279IlzwDWi9BPIaYPI7SOcxRPby4r8Zwxo5/y+PhF9eAUdHIJ3IM8AP9XBfRRiXTbrup2B/LmLVBxqBFmu9a5NJ69VvWPtvaYUBaEfoZFBSyT4t02tJFMifrwxIyuA2xXWtx8oA1B2mrEoqOo2lukmYa7w68H1tGFOoxxqKANKT8ABqG57bdqkuDmjNRMpQLkGqRiUEkj1h+j41AA3GcBiZNI5AXMyjkJClJxDmdBPSBwXBwjCErS1F4jGHKfhzZSYrERbroO6nBQEI/qSmgwGN13wENM5HkqRaEXD6N2BtV9lT3zFmIP3kFASgLkeSOSv0+k/Tv5bY5/o4SQTx0ziPLOSeu3CKE5D3yLn0nyV+IQL/ezgK8eiNBtqMiSmFuy1T55sp62R7DU4aN+jfLGK1Yh0zPxkBrHvxiiY048V1ZyPvo0vWakbapwtj2RTGWBsZk08D4KabrmLBAq+PmDBhNWvW3Mt3v3sPt912ET//+YUMHryb7373Ho1XdTqrxz0T3tN2zCdY9UfrqQpWaZ2TuNfiVXhxzEqw/nU1gYGsr5sPACdldeN8H7YuX3efLvCN97t+AYB9zF+igcz9X4Qwf8kq4BxOB+xoHGKwwtFw3Z+LP3SAwOLpnk5D4hIde7qpLzHuxlBGLECqxIt7XA9sDh2ovXYcdNe7GNIchBUsRdijVQjoDXPRumfm4itLoV2zeRPCai1DXPFJS4umcM35eC7+aXh9zlG9jnjPtSZT7UTfp7F493088l62x5siElld0ZANMvyjiGWC3bIjk+9kd7VXBEQOouO4MQQZr2rwQkQOQLtUlgt9GaG/OYSnHVuOAFR3z9cDW1O5H1EFq/5pEVjto2YWmmnA55GBIr3axQtsj9Yu1gGwgvDOKOgi9C/9Csh2xTQOMVVwm+q6LNIDt6msa0mhXnk2HQW948WXtZE8nvIwolfapXchECvo3L0VSBvyD/LbraVB2aFxeC7qSoQ9XYnEnvY6ewrtIGIIsfGmhQgIdCCpfaAOANLgUkjHGFKnmzwNuT+LkUpNcUu1GkOB/n4OAiBzEI9UNcKGFRH7HkDyikUuaSzI0s4F3o8wqa76VAsdwdt2azOb+KKxrU6+6wTkvdqFB5I2WEttJo+Z4DyCiVyVeGEXDph3iLHtifaqbWkQ4Yl0QUDqllrkfazyXVcl0l63I8/ZgdYxCEPvgOl6upCAZ+Td7dz4KiF7kfWwRWC1D5sC1s8hHUg14RIrzl1ngN/2NFBNZlqn2c/k+DuxYiQGLtiJHVdAtrPmA8BdBb7+ko0D8GLB/DIwnlah/O/XAz2kywHf4oTZa0gBAKd53a6sZ1pZ2LptKV7FqGl6rqvwYk/DpJl61HTgH0VsXfdWYuu67yecHXWA1D859H8+qKL9JYgr9AzkvrnSp6EVw3zanw7Yj9bzcPcurpvaF7cYL1nG/91g5B0brNcyEAlF2oAXe7hOl/pMexaMoRxvQjARua9b8O77pkyEMXTV9J6WIDrXjuEdi7DLbXhyaK3IuLGf5BOFhF4LfS/dcwm+e4N1X2GkxD491yBbXIg34XAJxU6fewISeuLA6QZEQzdz/Yi0//TG1wio9ppFYLWPm4YEzEbYBZd57ILOc5EG9iqwNNOu/+42n6xNGAMUBLL+8IKkwt+RifkyyxNl1rq/LrPcZWs34DGufg1Qi6cxmoqIdxadZ3yb8EDMEGRwHKbr/O7e7Wj1pMD1ZyGDnwNZg4llT7tUlz4Tpu1gHLGu5YOIW38fAtYGEAsQCggHBtXAoQQxkq706RTETb8IWBfn94V4VaNORJ69C4tYl4h5TeGas5Dn6ADMWET8v0Kv7V0EGKxB3sMwV7RfwSGRK7o2bBLiY6z94RQFdHQt99gEJkl7Df4fTwkiC+k/XRyyA1vB9rInpKJXFvIMwvrlQXix4cFwr33W0hzyXEfq51a8CeQ25L0uxbv3jrH2y3d1qsRtOqYhAamNr5Hrv1ctAqv9xMxCk4/MoiuRDrUBaTzr7AJ7zAV7xwGybqAuQYCsv7Nsj3k61oFsQLMzWYJDAbHuvHjsSm13MUbqhkwW+zsAGWCrdBmGN0A2I0yuHzw7FYgw4OsGXAdsDyGD4FqkEEg9HcFxI9DcEzHACgIdYzoVr2xpjV6jRWLyHCANe89DAWmc41XhaaLuQ1jUpUGXub5XI/HAqWNPVyJJZdWdvN4BxFaEcnHDdXqt7n19AwHPbyWRi/LvN5U24LLMa/GyxkuRd6seeS9WI+W1t3QDW5uJ9tppjV09fhmxXojJSH/6/9k77zBLiyr/f6pznu6Z6ck5wQxRYBgygmkFBdQ1LSyIuooB/a26BnYluawupl3FVVZZFVDQdVUMCBJEwkgYosMMTGBy7MnTOdXvj1Onq+573xv7dpjhnud5n9t94/tWvVX1re8553va8AxsCQLQ9pK8AWpBNoOhl6ICD0bDftVKX6GHo4TETcF4ZCzqpmDdSDLWRuah+PW1mEw1KqwIVot2yFkAZONcoA0khxbogj+qgazxteuzSXBQ+aRMrFLWteuH05wbOqpzOQ5hV8IYvC0pEoWiAPgIxK230H3PZnfsQNoqm3CIMgqbANeFAO2JSFLQ8QhTOdG9pwdZFNe6644yVlkD0pj2qUYYo9NcezyOuPm3Rd5X49pMAWoX3rX/ch6lQutIdveG/boDAY/TEAZ5FZKE9fwQxJtWIIztAuTaFiDtvQsBVAcQBi0cX6VkThhSMGkYpePVjY/QZR9u+JUh3YuvdV+Jr8CmcbDhYUgEu9F+1THrisYwkcSCE8pYayjLptEQclO0Q8eKYLVoh5U5IJsq2UuBbBxbtXsogKxJXWc+bmGrwseBpktwODAYF+xwmrv+cSQnPlWSvCBuy3YBc7GFRyEg60ikX8PM/Zz70rkw81V+qMOX45yEr57TgCz0B9w5bkMW9N140JRrclx3Cre9QUD7aUjS00sIi7pc2yPCnh7t/lb29MVs2dNIv4YgJq5f97nfOhEBjC8jAPWFQgJUl2A3l0TX8mYSk6GSKldFvqMS6bvJCEs4Ce8WH4svB1uHsMKt7vr24mO1d7hjO9LXO4ZivKYBpBrru4/kTbu67FNVJitDxtVr3OM8EuW/ViObmWeBldbS58bNDBJjrLtJjDfdPho3zUU7dKwIVov2qrE0QLYZAYx7iI8BTAKy7rtC5iQVGG1AJu5MpTP3A22H8oTuFs8ws1ePLpLdgjnJ+7jvDmNPxyIxjS8iIGt/4a4k5TlUkczkT0QAUjPCyqkb92VEOP9ZJP5ysMoP4WvKAIdhD5MQcNaBgNSV+GIHFgFe0xCmsR1pu78i7ddGCgDsrjvnfnWMrcpMDQlANYYmfJb+POSeiLqWu917y8hOE7QBYbwzKRccRNo1mwz7MjJvQDUUJwFEurZXsBy99+IAaThnpZVxct8dxpdOR+6RbuLd+LrZnI0A2XHuqyoQUP4c0serRouSRtEOHyuC1aIVjQQgq8keM/Dxk03IAqbB9yDusxaEPdlPmsVosFVxRqM5Birqxp+MMEsJiRz5SvvEsKe78OzpuiFiwquJz3bWYhK7kXhZZVMbkYV6OY5FGuqF2jFZtfhs/hk40I4wfJXuuTCjXeWqduPDIkJQXI6AlF4EfFTjKwLVIffyDoQZ3ooAGWWF9cD95iJkDK3Au/gHFffnmNxJJLqWK5B7bAc+ES2VUH0l6V36QzZeXThCOoDciL/PtEJTKV55Yy/S5tvc9e5StqwAACAASURBVK53jxkBaXAOOl5DD8cUshivjrEOZdOmIv2/Bdn49CPjY7q7lq0kJnJtPlQ8QUUbvVYEq4eImetMNTJRTEQWmU5kkj4sE6wKaQELminBoQFZdKOxZAfxyQdVyCI+BpmgQ0Y2Gl6w+3CIy3JyT1F3b7gohSLleSdJOKZnLj5+sglhCNVFfSDNx3P5nRCQRhn2ChLDQw4g/d2ELNJTkAU4zFrOmAxUoPM2CKt1GsJYrkPc/M+78w4LGnTggf3qOAAW6dcZiJalAlu9j/cioLSEeKWHOoTxnoPMTfvwMklavz1nrV93PdPdOemGyLrvb8NXMIobr3GsZcFlrnIxx+yOI16HtBGf1KRqHBrTDMnFGBqQuSgVS9sTfGYcct824cFu2vFqDGNJ3BQoY63xputTgU/nfQiTrmYgm4xdJDK1m4Yj2z9bM7I5i19fiwlWo8KKYHWUm5OuWoyX1lD2owwvrfEk8NShJl01GDO+Bncq11sISitIjgWNS3DImVVxi1AYWhCyceEiFOemG1VA1rVpM8mMaTnJVYG2F4LZdK7ckD3diU/wyZs9dW7oVLJo5cRvLlQgP2SRmpBqTApO1w03U+5A5SkISC1FAOrjMKAZezQCorXi1HJr2RV83uBLkKbqV+3bjP3q2vZ4BDDPQ8IO1MXfGbyvBC9xVomAnvFIm2p8b2NwaHzoGPe5TmTc6qEhDW3Bcx3kngCX9FqBkprynQv25FqJym3AxyAMtsqdzUCAaQ1eZ7UfHyutSWXRObAaP+7n4ytD6T2/aTBj3bXLJBLvvenuHKPxzXlX/8rr3OS6s1tfi9JVI2pFsDqKLceiACXAnaOtKECuFkzCmXQG65EFJ61LjxFkVXJgU6LAaddQA1l3bhqHGOohdpDIvmyigGLc7neVPT0a6csVCDhdkQt76kBTKmF8BaRxqhAHXVylQdpAgel8ZDzpIr0acWEOu4KEa6djEIA6D4kHfBYBfco8t+HZ0zVO5zLs1ygwyLtfUwDUZQjznapEZ7rx2onfbGoi2noSCzQkMdZBgYFCVIDT5yoQNjIb5YcevHdFQyTUla/VwbYj4HAHBdqc5tuvwaZe+6IJf7/PRsZ9ifueVsS1v4304RKDDpWIbKDCOagCXygg3BgXfD7MsSiArK/FogAjZq9qsGqMuRaYZ629pEDf9z7gg9baMwb9XQJU/x6ZOEZ1udVM5iamOtImIpzx9zC9G+54isyJCMqCjppa7blaAGTjmL9GhAWJ09fMOk4t+K0qkhc5dc0lJFJkypbOxxx7quD0COQ6FGStTwcGA0Aap7dbRjxTtRMHSCPfVYbPWp6PgOZ2Euu6p6zENBxmDFMRgLoEAT2vIIvpEXj2dDkC6loZgn4NxutEJC72RIS507jXA3igqclDmcarlnRV1roJkezSTcH6kYrtdtcbFrmowSsBTMTfc+OReasDXzSjE18sow8PhEMAnKvkmUVY6HH4e30c0vYbyKFfXayqtvt8hIltITGMZZ97bxgulSlxNAy/SNfvOSWNOkm7UDVkumuLaMjR5kGFHAlQzW99LQLWEbHDHqwaY/4O+BTiYjyIMBQ3WGsfHUmwaox5CLjdWvuD4DkLzOda9gNXIotD9vEy13Iz5bTzIebam+x2953lyG652VprMpzTa4EHYYDR2Ie4HL9qrX0q+f0ZEwf0UVmVlMATxlwHPeug/QuHckZ8ISwFkNVFS4FsbGgBAiKi7t4xyD0Qunu3DlXSgzv/eXj3fsievpgigSOOHZ2AB6RxwD0JkEa+VxdqZU1nus+FUkajoYJVDT5ZajyyMPcgfdeKANP1CCiagu/bnPo1y/E6DgE0yhRuRFjUFch8FAUnHTGbAuPOM4x7LCXRtTwijHVwjqEySPTeS6UM0kKWDGkMAE7F6o5FXPdaCKMZX8SgDQHEHXjXdC/pZc3AA92J7lq2khjKkpAYl2s/BHJ8qZj0uMS2jB6wVJuVSHJYWHxgD4mJXBuzSeZ0rv8rGTPmY7S11WOMv/7Fi//C2972NJ/97KcoK/Pj6P3vv4Obb34WadebiiEBw29lI30CQ2nGmE8BnweuAO5FJvu/AS4EHi3wbxWyLRcjbErugd3ldPA4VwDXumfejLibm7P8hq1gF0FHA9yyAP77EnjxMWO++BX40ibSS7Lo47rIc0mSLFEz5kAHBa4hf6iaayvVakywAMg2I2zbEgSQTUcW2m4EwGxAFqcHcUBjKJlol5QRsqfbEXB6GwK0NKlpkTFJAKGURFDwEvBnZEFIC0gj51BPYl33SchithoZ/2sLLTyfr7l4ziOB04FTSUwaKkXGzfMIA3mye48uzM8Cv8HfH+qKHgOc5GJcs5FQ0kctFDAeASH3A08hMagZ2auAsQ7BaSsCjFa6c00qhTvUlqPm8laEyCiI5rK7VgWEB4LSro0kgq5SpF+X4TcdSWVQ3fWEAFgPVUiYi7j1x+A3dS/gWe0qpPjD8UTAszEJADhbrd/wte3IfDPwfKDrq4VOoiB2KsJuDoR4GUMP6Vna1UhsdCsklHWdjqzr04yhm0giFzL3hfeerK/WWq6//iauuuqlhIb+6lcXUFu7n9bWz0X7AGG9TwL+EPNa0YbQDluwaowZA1wPXG6t/WXw0m/doVZhjLkVeBtyg19mrV3mvuPzwD8gk8wm4J+ttb9yr73PvfYkcCnwXWRyDs/hNOA/EZ3BVcAnrbVLjTE3AGcCpxhj/gP4EaJJCPA8X6Kck7mVN7GVBzmGZVxEF+OoYRtv4HaOZUvKC5/OUrbyTnOd+YpTCbgUuBX4VwcSGuCeafCxz8HWJdBfCXPXwoqfwy1HwWcagWug+gB8fD98/BF4zWS46d3wpUuAA3DWfHjsOuifF7muc4BvWWuPcdd/H9BorV3s/n8E+Lq19tfGmNcAtyAT7d1QBKmpzE340XKV05BJexPwa3z1mFISF+WjgXOBJmPYR3xSUc5ANmBPFaDWI4vJVgSg1AW/rzFfISBdiQDSneRRtScQpQ9LODbgXcs/BzaMNtkwNwbPAc5D2qwcYYh6ETeyxmy3IwD2FQS0luAX9iXAG/Fei3aSF/Y9yKYxBKUDLKhjszUGdS6yofkd8NdMANWFlShjPY9Exvpx4Pbh0L1155JLNTvVAh3SanZubEwh0cMxFelPBVB/RsZsrlXKmklMACxBxt1jwI+RDP+sr8uNo3KSGeBUf9eSRRywA8CZgO8OPMjVe66cREA+EQHhNci9PobE4il6f69BgCx4JYQzkH6oNsa1+1x28DCvZzyvZNtGEdsJLDHwp6JKwPDaYQtWESaiCvhVhvddALwduBz4V+AmJPMWZOE7E9k5vhO43Rgzz1qrTMQS4E5kQJUD79YvNcaMBX4PfAK4w33+9+7z/2yMOZ24MIBzeRdncRqwgeeYzlIu4018h9ewnj9wCr/jY8znaqrppb/E0NlUScfYajrHVMMymLLkAOuWzeXOr11rrl3bBnV/A7/slLWNTwIH4MpLoKwVHvsIzNgOn5wDPAhfPwb2nmktnw4byJjnNgD3g1mBTCCPx12Xe36+MWY8MoEcC/QaY+qRxfgk4BFjTAUCsP7DtfeF7rv+PUNfHfbmXMKhHqIypi14tuAZJF4tlWRSUhWiFNVuFrrHscawnwz1wI1hHAJuliAufg3t6EQWzYWIC1KB8ArgIfIEpJHzN8iCHzKnBu/afIgcF+rhMgfu3ga8A2FTVTuzG2mbdmSz1o9sQOoQdjqOXVoX+f9ADlW/ao1JAqhLgZvTAVTH1IbViSYh9+Ia4B6kYtiQMdYBII0Li6knGZA+i8+yH9L7wcmgReOGJ5LbeE313WXIRiCMsW5F7vkVFICxdp/tdkdeeshRiwDgbJLcatO8Fj724ecc8IltJfjsfS0dW+E+14202RHAQmbSzL3MZR3dUFvL2pkn8BvKmM0OZrOXOrdp7+iop6bma5SXd3Pccc9x552/ZsqUUClgAcJcF22Y7HAGq+OAXdbaTIzRo9bauwGMMbcB/09fsNb+b/C+nxljvoC45O5yz2211n7b/d1rTEJI6PnAamvtbe7/O4wxnwDeijCp8VbPeHAxZ09xJjN5mMWsA+Ct/IUXzXn85kPXM2ZBFwaL6e2itKeD0u52WAbdsybRvH4HrXccC/etgab74O4fABcDN8DkJtj+ZWCctSc48fKf/Fmuf8XsFGe1FQEGjQhLF3td1tofGWOeAs5yn3keiY86Hdk5r7bW7jbGnIVMLP9hJWj6Fy5k41VjbkKPugSnI4vvFjwYeBCJQxwUQ+gAjS7o0XNRIKuAYDrCSswEZjv3eh2eBVyLMFQvkVjTviB1zd056UKt8aZzkMV0DRLD+WuS3XsjYi6mLnS5T0GA+xkIqJ+ALLT7kZCINbgkEaQ940BpZ4HklGqR0pmaJJUWoAZZ2qFLvx4f8/gzhLEuaEhJCkCqhwJS9QhsRgDgsABSd34G6d9o8k84XtcCfyLP8eo2NXPx4HQGcs1rkD67tVBaw0NpQwiANZwhUxywKjXUInNsE7KJrqOZSeynjlZKseUV3Prhs7n9Y2cP/NCSG/v56ms/z513fomLLtrOn/40lg984HIuuuhdPPnk7e5dPWQfVle0AtnhDFZ3A+ONMWUZAOv24O92oEo/Y4y5FEnOmuVer0MmcrVNab53CuLiCG0Dwg6ltlIqUQmNdsaxjVP5EucOvG5tGf1rV1E6uxJrSrAlZfRWN9JTK+d1YP5imstKeemJ10P/ufA/e2DqrUJi8gL8vBIu7Ic9j7j4nn5kIe2Du+rgg83G8IB/jj64swneC+z+Nlw7F55tNIbb/OtnNsMRHzWGU+HiWmi9Dia3QW8JNFbD5i9DZR/sLTGGm+HLc+H7ZbD2ex7fnzkBZpxnzGE7CdQgk6fK3dS651vd0eYeO/Ai6wOWuA8qiGmBg+rIoSxHKTI/tCHgaQvCalTgGc5KZEHqdOfdYcxAhnQn5AQiSkmMbatz3xkCuRqEtTpdPzQE7RJaBd4tmeqodo8m+L8SYXu6EHD1KDLP9ODDXbQ6WkobxLWp3mczAqb2uvPYA5zgjvD7o3rFEMnoxod7DObctLBAeL/p/+X4+6YjOPS5ie5IsiG6B6rx47SeoRmvUZm+avedYRLSDHecm8P3Hkpm8HHa4aFsafgY977w0LFaEny3fn8ZUEYXNeylXPwAJSW86Zc9TH9jPyX0UEIvJfSylZm8c7Gwpm98426+8IX/49Of/jigYLUP6auiDaMdzmD1L8hicRHwi1w/bIyZCXwfeB3wF2ttnzHmOeTmV0vHfGxFmKHQZiBus9Sf7aML7Zca9tLM3fxdNJj7fndE7HFu5ph/vZGZVdUs7/4HKO2Cs98Bty1E4plugJrpsO862PIITK0kYXHYOhk6ZyAxvT0IaO6Fb7wXJmyApgfAdMC6sxCmxe1ot9fBazcAbXD6y/Clc6FpD3z8PmjeDz95L5R0w/l3A3+GXQtg8/HQ8z9Q7mKYlp0ILz2KxBlrluohJ03lGCKNL1UWZipeTiiUX9k/VMxgID+USodUJZt2I5N5Ex4MPIfXPU0pjeOShMLQgvB3xiGLbZxqwS58xRhl8CYgcayaMf7KYEt0xpyvanRm0vBVsLwbD9rakHbSTYdWMCtB5oRpyLhtBR5AvC9rhov5NYY6PIM6G3gCieFbHjKojrGehW/3uQh7F2rL5i3M7hQHUjGktcimJ6rqsBPYO0J6tuF41UPHa6j1OajxanzBjTCMpQ5hiLXtC85YF8rc+ZdSGF3b8DWDjK1U8l79ePBaTmJMq250qhAG1a1X4N6j49kiAFP8DEdSyhGs5icH3sFJL/yEq9/4/AC8jbOSErA2fEcpjI5EzVeTHbZg1Vq73xhzNfAdY0wv8EcEgL0eOMda+9kMX1GL3OQtAMaYywmYhSzsbuDbTjrr50i82iIkiQFkgZgT+cwOVlHFa6gA4EQe4R4+wlO8xImso40KnuIITmAVjWmSICo74RSu4NH+VdaWv2jMB/YCWMsP4USMsUtg2hiYdyXcYuCGc+Del+GFs6HnQjm3vjHw7HT4+lnwzGnwnd8Bk+Ajq+C7b4MPjIVv3gOXnABra2DKZ4DtUFsO21bDzlJ40w9gTglc/GHobYB3PyEneNVW+B5wyf+DW5bCV06ArtfA37QDn8VNRMYkZNSmykzNqXpNIRcD52KNuvGbpf0GFrgnEZmegk9uEUAaF8+nYtd6/BW5n3uRe+8od2jIxnJE/iWrBdmBixZ3vBg5txLE9abgdR6SsTsXAQMWH+qwAhkv25EYvFyriJWQCDjTyTNBvNt9TfB3D7L4TcW7excgbdiBZ2tAmOV64D4EpD47XHXQXXiGxqDORvrgYeC7ClCNodoYjsaDpOlIO69BGN8fZSP3E/ndCvx9FgdIVY+1BfEmLWMEAamaiwcPRejjxusyJL50UOPV3ZNhjPV8ZDwqML0fCRco+GYmAJbZJEzlAjAheR5ONR/vJ/V83I0HnKGSRThep5I4Xg8i41LZUpA5pATPSPfj2fsyZPP7MhJ6I/17O/OR3JINXNF7IRXdXUlA9cYbj+Ckk1o4++w9PPZYE1/+8ttYtOi54B3lFKWrht1eDTqrFwP/iMSQHUTYhhtc9vq1BDqrxphZSAJDuQsDuAH4CDIIbkUWhdustT+I01SNPmeMOQNRA5iHTFCftNY+6l47FWE7m913fsIYcwVwDWU0sZjbeRNP8hBHsYwL6WACJXTTyBou5sexYPVabuZirmU+BlA1AFzy02rVWXXJX99EwEMF8Cdr7dsjOqsGmSSWQunXoPc5BiaUD50JP/8ctE2Fpha49tfw0d3u9VqYewGUdMHq/5DvmPNh2DkVWt/BAECYNg+2fMe1zd3uClZba/9FznFIdvJVEAuAsxHqVk3EkEmsRADXevxit7XAgDgVINUjCkgHDmVFHXs0H+/KrcFXCkrLnuZ5zrpQh8xpH4G+KdKucQB7HDJOd+DrwGud9D4SFzd9rCXRfRonz7QfYcZCltEgjHK0ik4dXv5mNz784EhkbPS4z3UgsYR/CcubDqXFANTleAa12xjGkBhvOgEvY7YaKRebkbF2cbgKRqPMfAhIowl5IwpIISEePFreM+zXgo5XN8Zm4cHpHOSeCwtOJDHWQSxmJlCZCmCmeq2f7KWostrwp2uniNcineZ2uvGqmyYNUapFxtkE/LxwEJnDSxGQWo+sVRvJol+NfObzwA4aGq6nvb0hQWd17tyVHHPMav7whzfQ1VVDVVUbxx77LD/96a+ZOVO9nhOArxTVAIbXDnuweiiauc6chyRybc3j41OAJ+w1dkR04FyyjkqHpGO5xiATaqYKKKrTWpAF0LlB04HbKiSWUIW6tYJNCTJRhkLdfe79huw1CVO9VubarREvzq5ALkyOSijNmgpoGsN4PDidj7hftfJR1uxpNhYs1KFreS9+kV6NKwEZ3B+pFrJGd80T8ZsLdQFWIPfDdnxFmw3IBnNnOkbWAeiJJAOYPhKFxTchoEbbbjzCzrQhYG0GkgW8FHh5ONz8DqCqi38WAUDFl89UkFSDJPooSNqYCmREAGl045AKkO5E5JZGhepCDv26kUFmzkeSfBqR9l6AtP1U5J7XJLDdyPyWDfhUYDkYrdOE1wq1YU4xXlPN6f1kLn19AFIy82HoUAuyKSxD7ukGpI0H3a9GZOMGt74WdVaH3YpgdRSauc5IhY1cK1jJBCgVNq6xo9pNkUf8YBtpGLPg764cROQrECYtzO6dgjB6YWzpxnRZuAEAzsT4NiIL63ikn8YiYGMMAnjVRaZlGve5o5XMC1QvPpN/FjLJr0Bc/39FFtKCFF1w7tS5eHA6HVlctiGL9X5IKN0Y9nENAvrTltIlwoK63y3BMy3RY7z73hZk3Fh3DlppZyIp+tVJMx2NhEQsdG21HAHFU5GFbQ+iZblsOAoLRADqTGST8QzSRipnpIx1GG+6LezjNIB0AtI2GsYR1d7dOxqUFkJz4zWML51BivGK3AvZZo9nw1o2IO3YgAD5CgSQbkfu+60kx15mAzC7hztO1c291aQHnnmP1yxi2feTeK/twYNS7d+c5+Gsr18rWA1mfS2GAQy7FcHqKDVznVkEXIJMhrnVLr7GrhjKcxtuc5NfyNamA7iGeDDbg5+gm/CAcTuJ7qPN+Sb2uEWgnviyoRNgoDJVUoJJVIPRAeBoucboojoRr784Dc9K7EaY3+iCqxnq2bI2ve4zTSSKmzfhF6lOBDClqj4Tfa61kKycixvWjOkjEKZrCh74q8twB4kyWxXIPTAd2US8hADUNe47tPTp48BSaweqPA2ZxQDUlcj9aRGX/xw8Y70aSeDa7QBpqrjlapLvNwWnuQrSD4ml0OVsRK5Z7zm970Ix+INIWEaqcCHV5cwn7KcOuY80brkcYdg1nGJjtvq2w2VuzlAWNBMB0Mcgxqubk1VxInrvjXWfT/AC4WO+J5MYdjMeuc/DhLa85+FszEj+SH7rq5AARRtmK4LVUWwOsL4HH5cYtwPXGBoD/OxwA6q5mlu4ZyOAYy6y6KseojIfKsvVQvrwgyTNS7ewNhDPGkxAQFuSu54YQJrHtZUjgExZwCq8a39Fpu8PAHCjO9/xeA3CJnwIgsoENSGLPniQsB9hei0+y1alfAadAOcekxhg1+5jSda5rCaZVdseslVuYZ2BFAo5AWFP+/Hxp9vc/2Ndu6xA9DIfHcoF051bA4k6qLuQtq5AwNJWBBxtQO7FuPhlBaRxG6GCAtIAWOabpBP3mso2VeLl0wyJYv/bEGDRQXabra4ciiWUIPdSmKnfQ2K86baRAPYBCxoXMhP9uxq/iUzLhGZZRjcsJBKd50JAmlRIBJkXdLyG4RnR8boJadthV0FwgDW39bUIVEfMimB1lJsLCTgJqRpUhk80UV25XkSmZtlod/0X2txkqvWhdVKcBpnrQ7sFqo7Uk/8EhAHQhBLwbd6Od3urIPh6JHmltcDXOAEfPznPXctyd2wOQLTW4M6Gfe4lMalBP6su9laE1VuOLNjbUy3Urg9SuVDzBTHlJLJlte7oxoMyjVttIR74diP9NwcB+I3BNb1oLftdRa7TkPKnZUjsawt+MzIeAeFxDFFLNgt+ijZTgHoG0q8HkT4x7rv3ut9VAK2ANDZumRSA1MTXki9EhniuteQHXN7IplEZuWZk/HaQuZ57wcyFE8zCJwDORlzRAzHW1rJnKH47OId8x2usC94dbbl6LUx8ZTsFp6kAaUKJ5sg8HDKmGefhkTYXEpDd+lp0/Y+oFcHqIWLmOlOFsIXNyMLVgQyeVZr1fzibY0y1DKkeU5BFJiHgPhspnqAiTaoEEwVGGlPVjo8NTRVrm6pOe5yrrSMFwKhA+lkBai0ColSfMtVvh/Wy0yU4dLh2VAYpXKhXIwv13kztVyhL068HEDC2A2EbdyOLSDrg24iAkOnI4tmNxL1pYlwXXpZqMrJZWYeA2G3EA7AKfCEHLe+occatxC/kSUDWAdTXA29AWHENydBiC8pS78XHKquruxV/32WbFV7lzj0ElgVJ4MkGELl+DaW/prs230skoW2oqzK5UJEwxnoa0u4DzGkhFDHcnKLJQKkSCHMdrwcGK4WWBpBOQO7lfcQz87uijGcO8/CQ92shzUh/xK+vxaz/UWFFsFq0UWcudi/q7h2LzwAP40tTslsBII0DoxOQxTeONduZTxJNwNZmihdrRBY1BU+VyGIyDlk82vCJVTvxwCUduxJb6tQt1GFd92nIYqLgdG2hpatSmevXqM5lzv0afF8pwpwqsB+LuOlexLGn7n0GAbFnI8lSWxBd2Vcg6+S46P81yOakIvJ6lXtNE7y0VK0ykm3Iwq59qmUpu9z/6uYuBMDsHqZSpGG/at/m3a8FOJ8mEmXTxiKbEr3n1+UCAB0LmikTXl/rIXNYUcrxmq+5saCMdTRmXgFpHDO/O41aREHm4aIVrRBWBKtFGzEzvg551H1UQbL7aHtcDFoaQKqgVAFpHPtVsKzugFXJ5NLT2DLNMB6PuH+VRVTJG81kjis7miohogMvZRRdqDUxZP1Qi9a7thhHcrxa1v2a5rsbEWbyaET3dBc+LGJdCM4cm3kKcBbS3s8gyghd5B9fWemuQyvr6Gu1JCo8qOxWK8Im7nX/a+KPSqBpBTktfWzw4DUfwBoXF9xdIBWIIevXQZ7TJBK1ZStJVEjYFAXtOY7XStJLMQ08l2tBixyvtYxkhlTBaSMCSOPillMCUve9mebhMPFpWPq1aEWLWhGsFm1YzE20mgUaHh0k6+bticSXqsh3HGvQjCzKsQkmg02QcUlNmZhSfewi9UJWjrjLNOFrAz45akuamFAtCpDqt6chrOEUZCHrRZiPjYje5rrgHMIEi0LpMJYhYCEEMNOQPokmPu1JB5oCObMQGFYjAGQR4qZrdNe3FenjUMtSmU2V7xqPdzvvJPekL4sPAVAN2CZ3KHuqsYeT3f+dSKnne4FnouAluJfjAEczMh6UeVX29QC+UEc+sablJAPgTNff465bC2HomGvHxWeTZb8W0hyDOJ1E5rQDH2+6zv2fKSGpHmmTuPEaBaVtw3h9CkjjFEUakfs5Lm45LSCNfH90vIbzcHjkXXa3aEUrtBXB6iFi5jqjtdRVLL0TmahGXcyqMVTh45p0UpyEr7c9cGhCUpaLeCph/Jyu3/2W1nfP5NarIDm2LI5dSWBVXGzXEXgWsAzPAL6UZ5hBKdKeIYukC/VqBER0prim8Ll69750yRr6d3uQxBXt19kISA51E/cgC2o6QfRMoAp8wtdYBLRpEttmEjPCFWSpVurRSPzpUkR26mAGgFxDah1SLau4EwFpVa7tmvG1yKsRhnUpUlp3Rb7sWoZN2QTyHAMuPCUqgxb2Qz3Sr1oIYxICmDoQZrjVXX8nkhGpSgAAIABJREFUEmur7LIC4MEoP0Qz+KMqEJXIfXYMMpbmunPZg0sqcucyqPE6nOYA43ji57koIA2PPblsMiPjVceszsMhE745mzj/w9lcZav49bUYszoqrAhWR7k5NYDF+GzFbmSRLMNnKz4JPDUSagDO1RrdpSv7FbqPtuCTW1K57KOLceiyz6ZEZDmZS/3lDdYy/LZBJjoFTHPw7Oly8qgD7hbqOXhgOhsBKKHO5r4svkfBSggQm/AxsmORflHpqlCLtg4GJK9K8G5rjb3UIgDK/uXjru5GgNIRru0akdhTLQcbm6jhgOZi4HR33n9BSp/uiHlfnPyOAtK4uGWtjKQMXhmywJe49qpFQgqWuXMcUumdQYS7JHgX3HgNN5Fx43UzAmBShotEAHC+yg+hMH090qbleDa7zr2nGwGguxAViD348bnX/b8HCaHZR+QeGyHJqSggDY8x7nyT9JYRNjNnN3uW8/BmxItTjC915tQAsltfi2oAI2pFsDqKLUed1RLgzqHSWXWLpZabDAPuy0iMVduELBRhXfEoII2Lq4oFpFm4wcO/y0kPPAvqBg/YUwWoJXjX/so8GN96BBgtxIvbtyCLzHaknSC3RKAqpI/SgciQmVJXN+53t+JBwMHgO6PMdDQMIl37t7nfUb3YI5F74kXXfutTJQY5kHQkIjl1tPvMUoR1jTKRCk7LSAHk3DUpY62xvsrerXbtXotsGqYipVafZhgAaraWBsjOcoeWBC5H+mgdsAppu7VIHGKhyhnnOl67kftPs+g1TnI9kgC3EblHw0S4XCpPVeArwhU0cc0BUpXgSgVI4zZCeQHSoH2znYcL1q+Ho+Wosyrra1FndcSsCFZHqTmg+vd4SZ1MVrAKVm4SnkKi+2gqAjLUfbQfWWgqSS572U5qYfwu9xsKkFItZKEcVCfZ6QzGykEVyoJkDnXtz8FL4KxFAF0uDFMT4nZVtq8WzyBpu2Urgp7utW5rsWn6tZ1EFnwTOZbbzCJhRWWlZrnrxf3OK0hloJ2kSVgxhmZED/Uc99mNCKumTL0C0riNUEIoQMBYK2s6031Gk3JaEMB6omuvUQdQQwviwaNxw9qvWtGsG2EqoxJtGRUxshivYSyojte4DYuWrNTzLSXwFCCMbiErnIVas7nIfoXsb1g0oxGv7lCKhEjsR8a+sry78aU8s40RTpIEy2K8hmN21JXHHc3mgGp+62sRsI6IFcHqKDBjzPuAD1prz4AB1//gahdnGRJgDNUkJz1NRBatPchk3IMkjyh7o2LpcWUcO9x5ZEpIKiNzqb/9CNAoBAtaQn4i6FrOU8s+lpGogamxfJni87rw1YcmIYtQP7JAr0LKfa6jcJnb1SQyL2G/RuOGh0S6yhjG4lnnIxCWcjmia7qP+BK6zUjbhJufRgQ07EXA7TqE8d2MhFqsJ02FIcdYayjFfKT9N+EB0lqkr09glAPUSL/qY1796sbEFPwmYpr7fyLS7qUI22SR+7cF6cNtyNyUdrw6sBWNsW4lEN9HPCojugi58KE4l30zcl/uJhnMq7RcHBDOZ56pCZ6rdv9X4+PBw0IYB8gyRrjIrCabc/0Pbn0thgQMu5WN9AmMBjPGrEcmaK1xvhS4wlq7aYROaTECZDIPpO/xPnZwMoZeDH00sp3T2Ax8P3xb4CqMuo+a8fGGCkr3uOdr8BV1WhFw8Io7t1D8egbpRfH3IAAjoyi+O9dQEqjZMWG5TPxxr5WSfQyllrqchtwXG4B7EKC1IXh/UlnQ4BrKEMYudC3rQn2Pexz0Qh30a1Tnsh5hfTcjYOwhJF5tqKV15uEBaj3ian4auE2TOJz2a1wsn7rbekkci88ibEYJiaz7JAQENwBVxgwk1vThS1SORea5Ne47foloy/Y4GawTgfMQpu95pG9WjjRAzbJfXwH+TKRf3XhpMIbJpGdDo+N1BwIgdez2I2NBY0vVAzAPubejIRUVwGxjBkqX6nvWIMlut6v27XCbA6Tqso/GLTeQWNp1C/Ac0h57hoDpjetXg8yROxFQuguZdzX8IW4TnXH+M4ZeCpgAh5SePtQBsKyvDQ1X097egDH+ehYv/gtLl94x8P+JJ17GM8+cxu9+9y+cf34Lsj6eBPxhuE/61W5FsOrtrdba+40xVcB/Ad8GLop7ozGm1Fo7JFpzLut/CSQmiaS12dzLpdxFG+XcziU8whfN7Af/yPpzJyAT4RHI4lGLLE66EFeSWOe9373WjTCndciCM5t45nMdwi52wKZemN5J6rrhE925DLzmslXjAKZW98lm8mxFFppM7rZ0wLIKiYM8GimDCQJM7wNezjK5qwoBpApOZyALz2oEcN062IoujgnTeLVwsTN4Ru0Z4C7EjTscgvDj8GERRyCs23LgZ8h9pIzV0cYkANKQpVqBANo5wPHuq/8IPJ4J3LjFP0zOOhK5jxR4vIKA1wbgOKSC1FiXkFLuXl/ufm8fMgYmGcN+CizcnuEaJpCc+BT267PAA/iSpQo6lwBj3PXocyWkHq/R2O18knmMOwftr9ci9/0kZP7Yg2yQXkSA305kjA5p9n0ASOPilutJBqTP4rPsCz5W0ozXErz7/hngN8COQp+D66dyst/c16Z5LQTAfRQI+Orfw6Xd6rL+/fp6/fU3cdVVL8W++T//cx4tLc2RZ3cCSwz8qagSMLxWBKsRs9Z2GmN+AfyHPmeM+RHi3p6JVMG50BjzCHAD8C5kIP8K+EdrbYcx5rXA7cA3gc8hi+VV1tofuu8bB/wQmeRfQjQZ1eZzO29mI/PopZpqdnIGP+NU1sSfsTH011bz0rnH0Dp5EmO31bPy99Ooq/wl0A59ZfDpZvjpZOgqhSVb4bZnYKIF9sPVc+GmU6CrHM5fCn88Ab54J3x6JfQchHceBQ+dCV01cORa+L+7YY6Fp5rh5A/APz8E/3UijN8HT94Kbzwf/roA+g007YC7vgpLWogHlqkmtpTAshDmJvHJeAZwFrKQL0cAwfZMv+/AQehanogsQKuRXffawWi8uoV3ColM+FRkc6AA5k/uMbY2/FCYY0/n44F9M46BQsIZGoDXIaVFQ9btRXe+LTgQ6L7rWCSbfw4CWH+EiPtnYqw13nQO0iZrgKeAnxKpP+4qGqmLvwqp9b3anVdYcSzKRFYbMxAXnbaEbraFFoJ+VeAy2x09+PCSDgTsaeWkU1x7tpEcMrMLAdzh+XQW+n4IhONDl369++0HgJuRcIw+93wIGI/Xvx3Tl0q1oD2L84gDpHooINWN0GYEDA4ZII2cV9x4bcUD02Edr+43tEJaQaSp3H2gBUuy8WqNjXk+6W8HgAuVAJcOAKuyR3rPSXt7CTfc8B6++c0fcsklVwevqFLAAiRUqGjDZEWwGjFjTA3wbsRtFdrfIe7CtyDurq8gTNrxyELzU+Bq4Avu/ZOQhWYqwub8whjza2vtXuA7yKCajCxU9yJgCWAik9jEG7mDJjr4Fa/jQT7McXyBGnppH1fFY/90Jf3l1fSXVdFz+xhMo2XtG06iv6OXbU/WUN3YR92OCmAP3Dgefj4J7nsEprfB+SfAOxfBw7+A39fDV14L37gJ/n4VnHcBHGiAbVuBl+H1b4HnFsDXL4Ezt8EZn4fjj4QDH4B/mgh8AG7YJG2ytx+aLkUWiNOBLthxPJyy2lo74jWiHfO5EM8C9iMA6gFE97QrzWejC/V8BOSsRUDPncCGfF3HTlop6hZsRhZZTaJ4Gkk+ybigF8qCzO75CBtxHHL9Wm9+DwIS48BHSiF1Y5huDKcj7rgtCPP833F9EDDW2vYz8O7qx4AfxzHWDqCe6I6JiIv/bqSvs+onB4yVxQxB7GSEydX/xzgQFgLJbrzMlZbSHY8k6qg+aS/i6diCgKx0FZIODmfloCCeNbznLT7W9EFEji0OACq4T9hgB4xsCDCPw7nlHWBRFrbL/R7IfKvx8vUIQNf7bDMyNloYYkAaXEem8bqJERivw2FuTPe4Y6gAcKZQrybSAF/92xj6iYLbzzCTs5nGbqZDZRUbpy3iJzQClm4q6aGcD/EAl1zyehYsWM3FF2/hkkuip9yD9HfRhtGKYNXbr40xvYgrpAV4U+T1u6y1jwEYY7qADwHHWmv3uOf+DQGsClZ7gOuttb3A3caYVuAIY8xTwDuAY6y1bcByY8yPkZKQAFW8nmfAJUe8i/v4Euexmkkcx2b6ykvoapiBNSUYLBjD9j+VsfORcvq6oKKxn+MuPEB7TwPQD7+ZDR9vgeOci+c72+HkJdB9MvxhNpzdAh+fA8yAuztgnIHjzgbmwZqL4FuPwmVvl1N7pA+Ofit0fRm+USs44MkyWPwNef3qI+DOI+E7P4Y37NGGM2bwnZOn1SBgYSwCug7iNRk7kDY/C2LPUaWZFKhAsvzSMe4gxXfEWQWJOpKqLdmGsDD62I5sdKYizFouv5GrlSPusSp8codqrlYhwH4/0m673Pl1IGBrpjuSLHKuKgEz0f2eSnHVIcDvcvd+1crVdq/GZ1zvR/pwhjteF/mdCmQRGe+uQRNj9iFSV6fFnFcuVup+o9w9hketO191pZYhbvxeZC7oCw5dPLXcqmblR49odvhQmgLJMClS69wPMLZIvN5JBTgnTXisDg4dD1qq1rrzKnHn0spA2NGA3q/eh4M9n1Q2Gsfrq80MMvZSHSXIeNPH8DnVS5W/N9DEs1SzA4OtqeGWj76JH37C/9KpX+6k/bQOHnzwLJ5++oYU56Mx8UUbRiuCVW8XuZjVUuBC4M/GmEXW2u3u9TDZSpOPnjZ+NtIBpbbbAVW1dmSya0baPfy+DcHfnfyKs1jFsXQzBoA+qjhAHQD129t5y0evBKC7poxb+t7PjIYOTj/1aXbYyTz28JvpXbmTsrPXAith7aXQdx/i+myDyd3Q93/w4B3w6MVQ1w38HqiEMZVQ/UbYvw3YDi21cMUb4SNu4bCAsbB8N7S6djnyIfleuuBTf4A/vh3edhb01MK038FDXxdGN9FdMxQJLAF7qvqduxA27UUk9jSWPXUuvFl4BmkOnr3TjPGcSg86ZmoiyQzMQSRWLszc3jkMYQ+qRBCN55uAZ/cqEcDShAjsP4EwRBvzOT/XBosQpn0hwqAuRdhNG2hGarvPc+f5ND5jPC1j7RQH1MU/EXG1Po30dzblJzVpK11pznDDsh1fZlUTXRqQ+3o9wra/jLDhLTFyRKUkxpym0yLVTUI6tQyNrc2JUXSqAhpjrYz1ehILTgyKOXNyV1GtZT1q8fGsUVWRveH1ZLh/J+J1MuNCC7JSuogZrxpnquM1rPiU1K9FG+inUnJXRsiUPAsDa0zGELJQt7eeRMWRBpoYw9HUM5ct3Nr6Tj7573fx0Y+9wBRaqXKei4ULr+A97/kdc+emqjJYCrlXICza4KwIViPmEqd+aYy5GTgD+IW+FLxtF3KzHmWt3ZLjT7QgTMB0JF4VZGIU+yVTWckZXMDXWMRWSrF8iW/GflNFey+Gbkq7DrDg9ytYwAosW3nsiQ/yd2sv5/n3bYSeM+AxHcRTYdURUNIPr50L07ph9RgG4vd+cQBavwJX3mrtx+83pudt0P9+6H2CpAnky7OBL0LPcgZcOI2V8PhvgT/CfVPgvf8IX66G/3o++nljBuRwBhunNBYBl0e4Nl2LT5iJBYHBQq0AaToCQlYDjwA/zGWhdmB3KomJFFMQQKGA9H73eGAogGmaBV2P6IL+IgIYJiHtUIMX5V8xGDkrY5iIsJinIKzmY8BtSH9NBc4xZqDt+/EbgvvJotJXAFBPctf2HPA7BAT3ubaodMlfmSqa1eKZ2xAA7kDiMTUTfixecuwAAuxCncus+tW58ve5I901GmSsxIHYidFrMCb2GsJY2358kuM8124bkLb/PRInnHOMtVMeCAuAhJn2tSS67DcgccUtRABpOnPtetAdayO/H973+vvHuP8nOldwVEd2LwI4xuPH61SknXS83scQjteRtsD1no26Si7gU13v2czh+9O8FsaeJmw63cZiHImblknu73HIfaJ9vZFQWvFmFiJhfhu4oudCxu5vYU4kifOVV45kw4Z53HbbOwae+9u//Twf/ODP+Pa3n8SXYS7aMFoRrEbMCFV6AcIurYx7j7W23xjzfeCbxpiPW2t3GmOmAkdba++N+0zw2T5jzC+Ba40x70cYvcuQxQ/WsA9DP+PooIcS7uRv6MvB5XAWq1nGQW7fdaq1LDVm3/fh3s+B+QYywH4EpT+DqpvhNafAPbfBN86Ff2iDn7wdSkrhW5cawxFw/l/g8Zvgxs/AZ5+D5lLYtdhae5cxV7mFZtyTyiAbY85x17ECWUQvhu/ea+1//TC5nVNKssRNmqq/WYUsTMp8TEEYbXUP73PtORk4E+gyhi7EJTQGX0JUWZ0NSKzwn93ndZKsMIY6YpK9nOyS/r4mUoxHwK4udE8i8WoF3X0HMX+pasf3kbgov0DAMBnDeHxS2etdGywHHiZP9jQ4tyoEPJ7mzutxJDa7EgHDH0Q2CPsQgPQ8shHck2U523Hu+09FgMV6fDnbeqS/zzcmiZWMgrbtxLCSQb/qcTyJ/boRAd0F79c4c22iovJplUECtjYE4jOReNBZyD1a575rL66cKgLSa5C4+bFOASGMke133x8C0iizGQWk65H7fyeSSDSkDGQWQHYCAl4XIbkDs9x5W+RaQwmwzcF1pIy5Hm7LI6YzW/CZHNOZGmAmlbGN+1yhPGYBIJ0VqIjoMRbpu1Df+2X32JJOns/I3KNJUvH2+ONfpLfXB3CcfPJX+frXb+Jv/3YzPjlr1WCur2i5WxGsevutMaYPmcQ2AJdZa19M8/7PIQlVjxtjxiML/3dJzOxPZR9H1AC2I+zqD9HKPO38lnH8hVu4jhI6mMv9VLAn9Vcl2QRm8mP+yqeMMTcB/4OAuoeRSepe6LvSWvbCl/7PmH+th09fD5+uRRQQpsMvfgUfWw+/WAvvLocb74Crx0BDJ1z0gjFMg99YwfTbjzRmoF73JOB7CIhrReSLbos7STep9UJG4XKVJlKQNQNh4f6AAJUB9jQAwNMQpnWBO2pcW69DXNv78WLeNQgIimMLGhC9StWarEXAsVao2YFINa3EV5rqQybZOmNyVztIkYQSglNNQtHjBXceLVE21DG+CxAQd7S7hhcRIPnDwRYDcOc6H3HzH4cs+mvd41xEOWMb0l8PE8NYG4NxCStx7vApSDjHPGSjsR8BQ+uRxUrj0rYji9UAKE0T8mGQxU4B6XQjuqA1CFjZhIzJ+5BCA6OmIEAas0h7hZn6fcjC/JB73Obeq2xttK2PRNp7MnKfjXUguNR9v8o+bUPmur/iNwxdIw3sIv0auvKr8f26zD1uQ9onqvd7dPA3xsSGFgyoWaQ5j1yy5bN9LQ5Ypppf9pIZfHaP9L3tAOl44jdCUUC6ExmXOxG1j7xk0Cx0GFkDTgbg6qs/zjXX+A3V3Lkreeml7yZ9cObMViZM6EHGyBNF2arht2IFq1Fow1nBKuF3jalDdtDzrbXrkl+nAplc4li9qGxMOMnklKXrwIvqnh6FJFcsd8eqUCbITXgqQq6LdS+J8aYpqxsF3zGJZD3EHmRh3uauQ5OL8qlQEz5XggCAUsSlpNq0mnDSgy/b2EJiBZvQdRYuRL0uDrQZD+zn4dnT5UhVo0JUxxqLMJzn4LOz+xHgsw5p81fc8+pGTxej2Ydn9HqRe2uy++zzyOLyLOKSzeU+0n6N6pf2klxHfcQrKWVrbhMym8QY670kxpvujvlcJfHu+gkIWA/HbQu+OhukL7FqSC/tNRBzWwimNc14zalfTXod0kb3G1rNSwGUFpkIK9d14wtZlEBaHdJ0gDOdK3zYlCAKaW7Doy776H03Frkv4sr95g1IM55TsYLVIWlFsDpKzVxnFgGXIAAlmwFVhdYuvsZmXbvYGPNWRL7JAF9HJIpOsDneGFnqH0YZCtXntAgbquBU2dPlwHJr2Rn5ndl4YKoLtQLT1damZqLdgj2VRPZlivuOhIVuMCL+biFsIJ4d1aSQvXhtTVUYaHVfkS3wrcEvqJoEpOzXJvd92S6WUQamN2Cty4FzETp9EbIgtyHs2n58WV4FMNXBdWUCMnV4manxSAzqMmRjktUiHdOvGje8D+nXgQSZwRZnGG5zm7dQ03caUnZTN2RrrZX7xoVjpBLGryZ5I6lH3tqfru2zSRirI14rNu7vTrf5Cvt1FjL21XOjMle7kbHUT+4bx7DCUzYJPMrYqzqAJss1IuDLInN2XDsPS5GJ4bYIII3edyEgjc7/LSPF7hqZw/JbXyXMrWjDbEWwOorNAdb34JNj4ga2SgIZ4Ge5AFUAY8wPgL91n18GfNRa+/Jgzjv5N2KB7BQkQ3w6sogeRNw8zyNC3luRRSjMWtaFegsenK5J5c42UhM+LC07HZlUt+FB6UakXGU+ySVRQBqdqHuIBwYtg9FfdDFcyp7OddexEomj2kXurkd1w49BFl9diBsR97tKf/Xh4z6VBVGQoUlDKg22Dx8aES70PQ6EjMdn8Y9HmNOnyQKgunjiKFtasH4daXMasSE4HY8w1nrPb8UnWkXHlQLSOA/HsIjRu3GhYTbhUY3cT+PcYyNeIq0BH1Pe5N6r0kMqU3UAv+ndBwPldePus6w2ZUNQNSpTKeG4DXsLEiM8ahfjNIB0Aj5EJ26u2zXS4QapzAHW3NbXIlAdMSuC1VFuLiTgJITxLMNrNqoLuRdxky7Lx/U/XOYWMGVPj3Z/r0FA1g5kIp+AsCcLERA2GWEqNrv3vojEaG5BpKT6g+8eR3LiUyWJLsFNSEhA1i4142t5p0ow6SaeRRkUII2cQwUSe6ptV4F37b8U9zvuvEMQGpcJr39XIYxXKR5QzETa7yCSMPNHBDCpPmY+SR1jEHaiCbl3NcltCz6ZKAosKvGgWePbShEwqglyryBVx0blopjOXD9NIhGcViKM9W6k/S1yfys4rSLZZa+gJydAGgGW+STpxP1dgS8ckSqBp5xECa9xSL+qR2ArsvE6iNcBjmNt6xGXfNoKY+6xYyQBoQOyqZIjS0m9yRgWIOsAqY6x6Dk2IRuEuHMctYA0k7mQgOzW16Lrf0StCFYPETPXmSoEsDQjE3cHMnhW2WvsqGSPnPtyEb5qVCdB7CkyEehCrW79SjyDtB65To0Zm4BMorMRIAsyqVQiC9Ja973LETCTlTZqAEhTxfN1ER9XVTBAGnM+yp5qgtFG5LpWIi7QdO7WqKh73OLdjWdKpuFj/mrc8TAuOWeQKgHj8S7+sQhz/lcEaFaQGM4w1Z3LVIR5n4jP2j6AL0bQRyI4KiN3ybNMTFz3EEmMleDloxYimepleIZQBccridcg3efOs1AJPBXIfZJriEi6Nu0ONpKlyFidHjm6SGTBN5GjlnHQnmHJ3HShCKUkgtdUAPfgcIOvAMjGMZcKZOOYy5yArEtCjTKkOuc1IvdXHPu7+1AFpNmYkfEQv74Wk6lGhRXBatEKZg5kzcCD06kI8FyOsKJ7kIVK67rPQyaCgXhTYEcQJ1lJsht/MsI4bcXXUe/Dy1tNQBamPSQDzE4EGITgVz+jgDQ6Ue8caqmiACyfALwGabsadw57ENazxr2nktQLbcJzYYKCS4oKNwVjEVZyN55J3YHIMz09GPd5DEANXfz9Qb+GrvzJ7lqjccMZ9W4dYMmG9csFyJXhy6JmA27j/gbpt2OQhMH57no1CacbH7et1Zg0YSeMv4wDlrkm6aQCmN2FcoWnGa959WuhzZ1ftCBDHMBtQPoiHUurzw05W+s2/XFenYnIfRqdt/Yg90kcAI4DpHoc1oC0aIe2FcFq0QZljhFYhACsRcgkr+zpBhIz9Wch4CiMN93rvqeBZNmZJgSUhgvdlgyyRJrFewTCwM5EQPNEZLHvR0DoNve9r7jzUWanYFm3LlY36noPF8gpSILYNIQd2omwycoqxy2WGfUfA9dyWNe9HF8VapN7/TSkvR4HllqbXs8zw2824wFqEx6gbsMDUz3GkkO/DrUFAvwhOFRN3wYSk2lqEBCgj1omtBEPeBrda5UIK6YAUwHQQaQvw9Khbe7vdnwZzzb3ntbgMRqfOSQMcCYrxHgdrRYUGsiUMNaAjKtsEsYOFBIIOoZ0PNLuOrfORDYH45ANURcSX74VHy6zBhmTh2Wxg6IdvlYEq0XLyQL2VOMnpyCu9xeRCVGTQ+YjE6fGm65G3PQdyG4/6hYsJzG2dCMShxgtV6mANJUOaQcpkhispTOY5OPcbWOQrOK4WMBdQXWkWjKX5mxAwLEmgexHgEi9+/2piNv9eSSxbXm+DK5zteqipbGPHfh2dxXKOBLRRD0aCSd4DKlWlRezFgNQ1yLtpeoOWfdrDr9ZQmL4QDYxlJmY1XKSWdQoA2nxSUK1ePDajPS1dd9j8UUPnkH6tTvDuefqug+PiuDcB+O6T3gt8G5oSdwoY1rQfj1UzcWTpwK04XP1SDunkvUKAW67S0LMZa6KSgX2OkY2VWiBVmGK8ybtLwLZoo02K4LVomW0CHt6FML4LEcWqRKEHVTh9rV4Bm8jHpjqQjcNAVJRPcQ9kQUyCkhDYBoFpGFSU17ua8eCjkXYiVnuPCcjDGQzsjhYvCaoFgXY6o59xCw6CIhWYD8HX3VpOVmUFk1xrpX4Np+HMMgtJOps7nPvHY8wqKci/fYY8GS+BQGcEsFiRPB/GsKUtyNAKtqvWiVpMFV2sgGWOQGxmNe6HThQd2tc3HI5co91I67XeuR+6UI2agOs9XACtgAADxb4Kps8Fp+NX4UwyJ0kSs9tQ1zNObX3qxkApdjkqgLCNBI1XesRRt4ggHQXniHdhMwhG5Bkury0SCNANnq/VxDE5ZMYp18EskUbESuC1UPEzHWmGmHOJiKLiJZhLHiClZtYZ+LBqbKn2xA2cAICksrwLv2NMJD6J6RLAAAgAElEQVTxr+zLJGSijepctgWANC4zVgFpXGZs1oC0wO68Vne91SQnKIRxYHuQxX8cAna7kISiF4GVeUpk1eOB6Tw8Y62s6SthopcDs69BWNQpSDb/UmvZlOY3UsV9NiD3wRJkwzIOcWsrUFf3dDvJSgGFSnwqmNs7x/i/3e65MQgTPhe5L8OCEzsPxcXb6bFGvRs6Xjch4Gg70gZ9DJ7JTpXIlW8CXEHjbYfS3EZYGdIoMIyLr9+Lj8UP56845raLzAljWYUPBedbHZxrdKykSvw7pIGskXk9fn0tJliNCiuC1VFuTrpqMV5aQ6ullOGlNZ4EnhqMdJXTrgxjT9uRwdqFDOQ5CDO3GlnEOmBA73I6Mnmq7Iy6Bbe698S565vdb8S53Hemi3MLXG+ZEiXU9TZkiRJBOdhTkH6ajxc+137KOsM2KBsZxpuOwcfWrkFYlVKSgcE8RIblKPcbq5A+KCcz21aGd3VXIYzPJASIdyP9uRIB3tvcNWYCHSMVTxkHSPVQQBq3EepC7nNt+1nuPWGM9b5hvJRBW6AFHNWlHUN8fGl3iq8qxHmkksjKN4QjG4msXJPj8tJejQDS6NGAB6TReSDvOPlAni7TPJh3YmbMb1aTOrSgktSqBaMSyDrpquzW16J01YhaEayOYsuxKEAJcGe2RQEi7KnqnmpWchkyiHVCVZfxWHw2cyg504oAnegkNp5EQBplSAcAqTufetInJOnfKvWTcsJlCCVoHHMZloMtIVH3tDN4bzleiklrr0/Eaxd24DO/a/HlR5VhUZmp0NWrjKX+jspP9QIvI8UVQjdt3EKtsbPNCCid4p4rcY+9wFLgQUS+alQxWFloVsbGLRNI/UQY6/lIO2zCg9MExnq0WyB5Fk18io7XTYjqxqjq01wtpvhAvsoP0ddCAByOmR48SFaJt1pkvFQhY26HO7Yhm4EtSLjPiJZLdfGv2XiYMknehSxuQkUux9anyiUomDZwoSzHogCyvhaLAoyYvWrBqjHmWmCetfaSkT6XOHNA9e+RSa8g5VYde3qUO46H22fBlefA3u8jE/A+BJj2IrvKSQgQ3Yx3TXWTKIky3n0mLr5Jd6LpgOeoEfd2iUqpFr6pePkhjdXUsoodMZ/Tx1Iibmw8G6LsZS++3KrGRNa469XFb2tw7ED68HSECXwWiUV9JdoubpFS/dIwbrgVAS0H8coEFUhS0NMIiziiYCbHakDhkVTWMigcocB0PnLfhTHW6/ONARxuy6JfQw/HiICBQ9GCzaVuMDWWdBIyR4UKDe14dQYFsqlAsZZ1zbnKVszzXUg52oKPzzyKiYQJpOlCEUpJvbkc9qprDqjmt74WAeuI2GELVo0xrcG/NcgA193th3GuvtEIVp3r/0okfix5ID3GAu7j0xzJL3kP9wavVCEL8k32Gtvi4hCVPT0ZET3uRBb6Mri1Ej75Bth7CwJUdLLpRNpK40pDQKogtBU/SSv4ipvUSki9M49Ku+RSWSoOWGbrXkz1msq9dCGLS71rz/GuPdYjigfrkEk6G9djKb5c7DzXHzsJ4h7jatWnKG+4ADgOAai7EZf8cwh70+LOqRJZZLWS10T3WsiqdSGT9YlIXz2DKBKsHebkIF0Y4xYwBaRxC1gsII357qkkassaApc+4vYe9eyiC2uI6tJOILlfNx1KTPBIWYryz3rUk5hMFs2yzydEwCCb/8EmwKUCwIWKB88JALsNU1SfNhXA7SU1CaH61yoXFwdk4zwleQFZ5/q/kjFjPkZbWz3G+GtevPgvXHTRM9x447s5eHAsxvQza9ZqbrnlDk4/vRNdX4shAcNuZSN9AkNl1to6/dsYsx74oLX2/uC5awv1W8aYMmttId3NixHXRPyObzmnUkobGzgVEsBqJ1215bx8wcVuIjkZGfw6se1CBr+riGLHh5eBj9PRbOtuZDLZhAekx8p3drZDVXTy2YXEVkYnohBYRifcSbjSns69nu2ErcAyGzaiFVmAMk3YzXjX/mwElP4Wce9vz7IaVgOJruWJCKBYDdyDAMKMO3kH3HcaQ5s7r3lIH/wYKf9Xj/TFAuBMBMA0If28E+/OfgphD/qRGMx3uc8+A9zJEAPUIAs6zjUYAlJdhF5EKmdlBKSR3ylD7iNlTecg/b7afeevEfmxUbs7D5IOo4lP9fh48DVIaMbWQ4UFHglzce3jid8IKSDVjdBmZDzkDUjTmbvnut1RkGII7l5RgJcN8B0b83zS38bQR/7AtwW/GQ5f60fWnTgQO5VEkFuNJzM2wsDmqwwJoZqDZ34rjaGFeFZ2b5qxLuurtZbrr7+Jq656KeHVp5+u58wz/5NTT93P3r1lvP3tF3L55RezatV3kHC3k4A/pPjuog2RHbZgNUurMMbcCrwNGRiXWWuXARhjpgDfBs5CFr1vWmu/5V67Fl8+9ALgU8aY/wE+C/wDsuA8AFxhrd1jjKkCfgC8GQFuq4G3WGt3GGMud5+bBrRQwTe4imZIIdB+kAp2cCKLuZUneT9Pm1lMO7qdrSccwbbaY3nyv45l4a6DMLkKOg18YAt8bQXQBwcnwLvmw8OTYUwbvPVF961GXl8xFi59C6ycDuWdcN798NN75DrPfiNsmgYlXbBhCbz1Fji9G/79k7BvMpT3wCnPwAP3ApXwtaPgG+fAvnqYtQu+cz+csw3ogqZPwJsfgftPhP1NMPsF+PO3YOJBZDLfReaJsXewwMPFWC3EV9zqR4DNg0jsacokL/d5gyyIYTJUHd61fCewIde4WceIL0IkpxYh9+bLyEQ5B5GNssjCsAq51zYik7W6u5uRwgivRSooNSFtu859phQBrzXGsBMBcvnK4EQBaTRuzZDIjCwnYOjzTGyrQhhrbfsZyJhZjYRE/DiOsR4t5vpY40vDxCfw7vunEZC981BggIfbHCANgWi4EapH5hG95zYj7dnCEADS4TY3ZnrcMVQAOBO4HZvifdHP95Me+IYgtweZm8pJZKNLSUzQq0LmwCZkvV3g3l+BAN4SY9iO9PsmdEP8bg7wU5ZQkqYAyoknJrZnaWk/u3c3u/92AksM/KmoEjC89moHqxcAbwcuB/4VuAk4xRhTgjBqdwHvRYDk/caYl621ymReCLwTuBQZQFcCFyFAogX4FvAd9/nLkF2j1sQ+HgYE4HcCb0EYybPo5h5W8lMWsiX2jP/Mayg13TReMYGG+zp5YtKn2fZecZ9375TH/VsqmPzTdWyr6oazj4J3b4PFO+Cjk2FDFbx0B+wtgfPOd99qoLcfzn8LvHY9/PkH8HwFvPU98PU2+PRyqK+D9Uvgk9+Gf/8e7OyD474Ep90Bv/0NPFUC35oJPAmXToHb/gmmvAc+fB/85yfg3A8Bi6y13cbsuwzumITscDvh5cdgUoO19qf5dmQ25ibjKfiksplIuy8H7ico9Zri8yUku5YtXt/0QcS1nBeINoapwPnIPVSKxBD3I+CzHQEwDyCTb2x2rTFMQtz7JyEMxLPALe4cFciGi/uR7nGcMRwgPgGiBWFs60jtPrWRzy0Pvitr2Zw0baOMtTKnExBVhDXA3Ui87qhcPII4yJAtnYqADAWmafv11WoOkKaSUaojEZBuQgCpMmuHNCAdbhtiAJxtaEMD6YGvPtfvjhJkXtPDImusbmaPR+ZBGVMbqOG7jGM7u7G1dayacwq30cRkWphLCzPZTwnw0ENjedObrqa7u4qSkn4+8IHb3CWpUsAC4IVCtFHRsrPDNmY1tDRhAGdYa1/v/l8EPG2trTbGLAH+11o7I3j/F4AF1trL3WfPtdaeFby+Evi4tfYB9/9kZBGqRgDtBxGmNe0NbhrMY8xnPxfw69g3fLPy81SePpvp77LsecKy6eclHP+lfZTRQde2Hp796gzOffdL7H7TWp6/fAVMfy+86374+qNQ/29w+U3wrYeBg3DMm2Hlx6D3GJh7NLxyG9iZPls64zU/DPwJ+La1dlfw/BeBY6y173L/azbyxdbah1x//Iu19nb3+o1Ag7X2inRtk48F7Km69/sQIPUi8HIGiaxyhH1UkDQHcU+FOpu782QGaxHQMhtx45+ELMgvI+VP/4qPQ0xb2coYJuMrSdXgk6TW5uBGL0GYktnItc5GGL8pCHtchsQt70DYig0Ig7wacVG3FwpkBVWTwk1BHT7WdA15MNbDYUG/holP6ikJE582F+NLxVz4TyqB+jr8hikaQ1oEpK9CiwBgPVSVISyPXIuvNtcENPFejmQJU9lAOd+fMZnOPSWUBJzdkhv7eehDH6HE/b9yZQ1XXXUmb3jDKj760XXu2cnAo1Y2mEUbJnu1M6vbg7/bgSpjjMa+TTHGhJqKpcAjwf9RgfWZwK9MGKwtwGgicBuyaN1pjGkEbgf+2VrbY4x5M3ANslMrAWpp59HYs11PE/u7ZrGk7F5qtjRSPaGUDd0n0PrIbiYcf5DerkoAysaXYkumAjUwsR4mnQ4cAd3NcOm7ETa5FK5vgI80A3+Cq+rhw9OhvscY/cFq4IR9xnAffHQWrK0xhruQHW0fPHUQPnsZLPucMfNa4TPPwBXr4bzTobbHGG6W77HA/DJ43xeN4b0wfhzc+B5jOFNev+xE2NDg3z9oq0Ump7HIRHUAkZVRRYPXugN/rSBtkhA/VYuv564xuNVIn56hH4p8R5zpZFpH4kSq1Yf2IgBwGdK2C92R7vtr8NJTZQjD1OLO8Vx3pPpsOb5CUXXksO6a9ehEQgf6g88di+gSVrtr6wE6jKEz5rPZggmt7qPxbODbXauBHesO0lzbcFpcvyqob3VHmzumueNU/fAoOP/htBL8PRa978pg4N7pRPpa/+9CwMHkuC99lbXh4WIl7ijNcLhE4KTnou8rc8+rhUxrScLRQzltqtBiLRfcuY35bzlAKb2U0Iuhn99wLBc51nThwnauuuovnH321bzvfZ+lpsatfVQPVeMULd5e7WA1lW0C1llr56d5T5RF2gS831r7WIr3XwdcZ4yZhbgtXzbG3A78H8K83mWt7TEN5jESB563pZwCGJ7546nwRz0LS8uvDvKeX32XVxjHMv6Nk79zB2U8bJ+/7AFjnn4Inr7d2n/6gTHd62DxZ6y19wAY8/Z/QIDyqfC9M8B8Fw6+jlgXzXPvg93TgJ/7106qhAcfhd4q+Pdj4MoL4J0/hIltsLIRAWGd0NcF26ug+q/Acuh8O6x5Bkn+6YK/VsCOycB3SS3jkjJG1QlVh+zpLuD38lusSsWeGkMjiclQzYgsSaizmTZuNfJ9JUjCWDRB5gDCdu5G3PCz3HOPAU9kG1sZw6D+FmFQEySrAs3aVFIxWtwhKdM+1zKsASMbp684DnEnRjN59yAgbxbS9nORjaO2+2qC8rsjbVn0a1ihrWW0nPdwW4QhjR41CAMfJ4xfZEhHoaWJYR2sokGoYpAqQbYbD1Y1FlWLm+ihOrc9SMhUOs1tqUL4v7wOyQXYxg/2/xsnvnAnV70lMcEqap2dJXR01LNhQxULF7YjADmtt6tohbciWI23J4GDxpjPIbGn3QgYqrbWPpXiM98DbjDGXGat3WCMaQZOs9beZYw5BwFQK5DB04MwThow3gL0Opb1BAxPx/7CRk5lHr/jHP488NxKZvEYH2YntcE7y4iX1vg58AVjzBPIIL8SQMqfLrsf2AfmXZFr7rfWPmzM0tPkb36iX2aMuQS411rbYsy/vB44D8b///bOPMyOss73n7fXdJbOQhKyAQlZCIvIFhBR4V51dNydUdwQ5zqIywDO4zYjCgEEHcfrMK7o6AAuyOI2d2RAxVFRFjMEZA1L2AlZOiF7uju95L1//N43Vae6zulzeq2kv5/nqaf7nFpO1TlV9X7rt54H0xfAprvgyD/B9XfDmz8Mu7fD235g+9bTA9tjabFWmNIK3ZOxm0i5G2BdsNzFm1oM8J9u22AtZgGMsZKd4RiPSK03iaSs0/ywjejKvgZ4tlrXcoili3GI0d07x77Dva7eW8J+LQzHdjwmLv8Tc2NXU11gDolAbQnr/xCLtZ2ECYGTnevjQu2lVBTcTxCntQrSSgSRsYnk/E7vexSyB2GxY6/GxOkc7PzfgH3/D2JCL+7rjtESfOF3jVbQSr/rs0VO4BougiDNc9dHQZrOzn4au5f2l50tBkkZYTkUTRLykqPKCcytFebFv3WYB6Jcze14P5+AeSbSorONUgG6HYvxrt6gYOdlU8WFPvnJYznllLW8/vVtrFo1gQ996HRmznw2CFUw0azSVSOMxGoO3vte59wbgC9jAqgZiyX8bIXVvoK5HX4dKgm0AddjSVqzMDEbi3ZfD/zAe9/jnDsPE5HNwC+o40aSPuWJcLqLBezmAF7F75hFUkN2LvdzNxv5I8s4lgfCu71YxneWi8N+PIWJqKuAjw7imF8L/ItzbjwWw/hO730HsMqE7KrPw4vmYrVAX+v9wQ8BONe5G75+j/df+429/u1RWKH/b5b7oNDQ4GiszuiRmGX7EWxA3EBpeayYCDQb+87nhO/UETqvkLgaF2Oi5BRgt3O5N2awG+kULLzgAEworsdE1tOYtfwJkm5fcZvvD8vcAXyzmoz7jEBtxX6Ph7CHnJlY0l6eIL2PpDvYkAnSWklZrGO86QzsGP4AXIkJ7W7su0xb3xaFv9OdYyf5Vri2oWoJGs6pdKenedhguZ4k8elPWHxpIZO3hoMQ5521kEZxmq17+RQmSAdc93KsUaHu6mAFZn9lp9Kv++twtxvYXU3t61A2Lt19cDJ2vuTVXu0l3/K5PvN65zBZ21eTJEnBhReew/LlyecsXPgwxx33CO9739tpb59EU1Mnhx76GNdee0VYIo7LeeOrGEbGRILVvoa72L0Oq5G6dgCrzwFW+OV+n64DF27o80hc+wdjLuIHgQe9py2zfCNJctAiLBlqCynXsvdszqzTQN9+5bHua+wONBuzGEU3U+w01UnilorrTwzrz8DEdMxW30rlQaEeE0xHYdn5E0ha327C6qT2STApQoJOqsVnzNJfhAmamAi1GrNC1tLwoY6+QjadgBOFbJ+OaXlWlrCPsVVw2o3fQmnS03PAuiImbg01ZQRppULsw9pRqKjUUNC/bO3SMssNRUH/ktdD2dI1HHe52qhZAdqChftU6mAVG79UbQUdLhwMfnxVndURR2K1gPTbwao8JR2shmPfhpPQqScde7obsyg+iGXud6eWnUDSGSq2QH2eRJw+4X3KAt33s+opjUOMlrUukvjDKGDKFpMP2zkKc/MfhrnbV4b10gPVASStG6Poiq7mSST9qddjQrUbs0LEBIOBDmjl5nUPsIpBXfi+ojBdFPY1HW9aVQOFgZASsnlCazqJxdxj310L9v1uwx4eqvpd9wdSgrQQLS6HmyCw4sNnLTGU/c3rYWiuub2vRytGN2UFLdf2utquU+nXu/almOO9HawGM74qDGDEkVgtKO5idwRwBiZeautdvNzvE72LM9bTo8L/0Xr6UNp66hxTKa2zOQ1zQUYL3lMVEqmaSdpVxmkOJgqju3cNViaqlmSnlwIvwW5cd2BCrZX8wvhdYbkuTGzNxkTe7cCdYf8rCeLsADxYK08D1Q20vSTiMArtzSSxvo9igqeTAQrggZLzu8ZY5C7M+h3PhzhAt5NvLcy1yO4LBEGaZx2dif3eeW0qNzLKgjQjLIcqgSdPWFbT4a7ivKILsVTb4qzwzBOi4zAraKXW19swK+iQhNsUEWfNVgY2vmZi88XIILFaYIJgfSeJ1S3PPdmADUwOuL7oQjVYT48g6RrVSXDtY5n73eHmO4vSuMdmEsvd45iw7OP2co5JJFbS6Padhrl8snUuaxIooerA/wJeGfZvDfZ0Hi1YXeS7pxvCsR6PuRTvwayvT49iIlEd+SJ2KmaxXoAJvwOxMIYXMJG6DUrWTW8jCuBaXZiVxEWX9/jB/q7hnEqHFqQtjjOwkIs8K2PbaAvZIEjzrKMzse9+bzxvZhqSBgNlhOVgBWYT9rBWzTlQrcDsKrqwrIVgBa0kPNPzuqmcCR9F6YA6xu2PBMFa2/gqoTpqSKwWnBAScAJW17KBxD0cW9L1YL3iVxbR9R8GuoNJxOlcTHBG6+nGYDnMupZ3U+paLukulWp1mnXjN5G02Isu3/XVxnOF7U6mVBC8CMtmX0DSLvQBSnvat8Xi/WEbc0mSpBqxLP67GUWBmkewWKfjTdMW69WYxbcqC0tGAA8mcWQa5m47gMQa5ElEc9pS2En1wndvWZycc2kK+YIwCtlyFtkhSbwKD0J5QjotSPMehLblHEsTtcdQVhKY5YTlQB9A9jthWS0pK2gl4RlfN1PB8pl+b6Ctksc6ISSguvFVrv9RRWJ1H8Fd7MZhjQNmYPFmHdjF85hf7guVqRziSY/AxOkR2L5G6+lqzDK3gMRyugCzUEZx+rj3bEltrwGzZGYTZDromyDTb0eplDjJs1TNwAbUnWGZ2ZhF8Q/ALd6zqcI20wK1gcSCWlWZquEmZbGOwnQxdkNOJ0M9N1IiosrfdQ0mznYxdC7jRswKXq24bSDphjMpTFPCtBNLgFtHRkxmhWxGkMYpVqpooVSQxKYC7diAWa34bEod21BZuMeksKyFkODZXyLSZOzc6aKyCz7+P+g2xaI6nF1H+eNrbXGtYpiQWBWDJmU9jbGnc7DSHjE5qhNzLUcL3hxMiOxtnxkz24PLMxuHOAsTs+nEpzXel+9fnRKkeeV38qxlsVj9POxJex5Wkud27/t0K0t/RlagRgvqqAvUYLE+mFKLdQeJMF2NWYSHfT+H6ncdon2JncNqFb7p7mPjsUEtitZJqW3GzkyxV7nHLDW92LWwi0RQ7sAsxtvC++1hil2wak6oG+3zbn8hXN8TqOyCj3+b6BsLmmcNlRVUiAEgsSoGRMZ6eiQ2uEbr6WYs3jGKpKlYQk46GarbOVrpa1WbQhKHGBOfnq8Qh5gVpDW5b8M2FpAU7X8SS5a6L6+EUSopLArUegoiUEPC0aEkwnQBJsL3xvp6z9byWxiy/RjU7zoEn58Vo0Ntje0JrxtTy7VgosWRiJQOkk539WG5KHR6MDEaW4zuxlyQ3SR9z2u1klZlQR3rYjZYQftzwcfXnVTOhI//t4/171WI4URiVVRFEGmHkIjTaD19ELOOTScRpw2UxpuuCfOzCTINlJYSivGlezKf2188YV5iTMV4QueYjGXyvxQLS7gDuDNPzBVVoIako2ixXoSFLKwhsZo+OZy1WMP3MoMB/K6pbZSLcx2MwGzARF6tsazp9x2lAibdUraB/IYFG6ii+1aZuOh0Ldndqe3GpLZYx9KVOe5qY1OrjT+tJXRg1MMEwnc6keoSkhrpvzVntILu9zV3hdgXkFjdR3AXuxZMlByIDTyd2OA4bDGrocNPOvZ0J/AwNoA2YFa8hZjbMorTJ7HBIO3unRuWSSc9PUdowVhFpna65FBJgklNrfYsRvJoTKAuBP6MidQnsgIjR6DWkQjUZ0daoKYK26fjTaeQWKxXY8lbw+JiDN/dXOw3PxR7cIl1aTdh50QUVl1ULzCzFQQGIzDTMZbVtLKdQPk6pHmCdNjbwWaEbN6+RSHbp0ZqTPCrYvt5JaMG0zmpidKSUYNJvCoRwKH9bX+Z8DEWtJPq6oJ2yAoq0jjzjOSPr4pZLQQSqwUnVANYRpKt2EXSLi5mK/4PcNdgqwFkrKdHYZa6J7BOUHtIuju1YQLpWcyyGfu/H4Rd7Bvpm/jUTt+uRNli7sNSA9M55mEC9USsrt7twD3Z7aYE6gnAcYyiQA37MofSeNN6SuNNny9n0QoWy4F22ZlEIpAOwH7fSZiQ2IqJ0k3Y75yNq6xVqAxrbdYgSMvFLddTvg7psAnSgZISsuUSA7spfw0Nt4W91pqpUXBOIRGdE0higluw+9seSmN4d1DaM34rdn/agt2LKj7MjLYFWBSLUA2guvFV1QBGFYnVAlNjndU64Lpa66wG6+mRqWk3JkZ6sIFjJiZK12GDhscG+9h56XlKE2Q6yBel07EBJ68e5JAXZQ8i5URMpE7CCu/f4X3pDScMtAeRWFAdIyxQQyLUeEyQLg1/F2K/xToSAdVJ9eKz2q5XsWD+FEyUTg/biL/rU6mpkBapHEGanuoobyHdb2pOhvM4ryFFnpDNeieGRMiGmOn+XPDRCtpOZRf8Nuz83MPgw0Sy3ahqtdRXnCcBvG9SY51VG19VZ3XUkFgtKEGovhcTK0PWwSpY3NLW0/nY4NCFWUcaCQM5dvE2Y+5fR1JKKPa6r6e0Z3sUpFX3bR9KwrEdjgnUo7BaqHcAj+TEwR5MIlDBxOlKrHRT2Ysi001qMAPneOz3moEJxdhfO7ZcXUfyPQ9kUO3J1N+sI4kvTSc+1ZE8aMTEpw1FGoBTtSnLFcavo0xBf/YjQTpQcoRsNrygh/LfXyelsaCVEpLqqZwJn44FHbI+9tUSvoeYFFetuK1mXhTAQxYHXKTrb38kCNWBja8SrKOCxGoBCa7/wfUuToUEhEScI7Di9svg3mlw7Nug8ypo7sZEURc26E/CRNNmTLB2YdbUaL2aHt5vg3+eAp/7G9jxJmAjuNuAs7z3v3HOXQQs8t6fMcCvoWqcYyYmUE/GBsQ7MNdNOnayGYu1PA6LW63HQhyewgbQasVnHQOLxYtP6HMwkTgV61X/MNay9IkhLDDfGD4nnfg0F/vdsolPhegDnyoTVE5QRUGa9yA05gVprQQraBSas7Fzch523sTrfBp23m7DmjFsxB6knsfOnY2UitLOsfY7hPO2gcG1Ps679/QydAlwMQRixB8Qikhw/Q9ufFVIwIjTMNo7MFI4554mCKnR3pc0zrnfA6cCx3jv7wtvL+NbvJ31LOXVfJlTeKzKzXUCnt6GE5zjUUycvgxzK/di1qkd4KO7owkTMB5zheyx+UzBxBz0tbhsTDoafQr41AXJsXvraaIAACAASURBVNR27GlCAk8tyR4TsCLOh2PCby02kE4C3gS8HRM4jSTu7R7gaUyk7u1nH5bbgd28+hsIevobkFPdtdLJUBOx5LPVwM1YFYFBZxqH9rVpS+nB2M24jUSQ3o3VLx22uMVqSGVsl4u5dJRa9R4kEacSpP0QrOeTqC4hqY5EaEax+QBwG6UJSWDncvYh4kjseioJ53Fub0OEXcN7tMUgnJOx5NiQ1AfOEcD93ROnVZi3933n2MPQJMDt/X8fFcDLgD20tl5Ie3srziVW7GXL7uRVr3qQK698LRs3zqWhoZvDD7+fn/70Bg45xMZXy2m4eZT2fcwyZsTqSOCca/DeD0SAPAacCXzcXexa2MxpvMAcGmq4+bVPa2bd8Qez+dCl+Lr30LhrE90TGkg64ICJsV3gJtlLv46k807aYrWpUovNlLDM3ECbmuBdS52jC05cCJvnOsfb+i6XezN1VGcpiO1BD8Esk9djzQfaU8vNxMIAjsEE+I0kgm3IBU8QCXNJhOki7KYWk6F+iyVDDfizUyW8oiCN4nQiSXvZ+FlrR6vweEqQlstmh3xB2oY69vQhfJ8xFjSvGH36vYnYw2fW9R5r7abfq6Xe6tawfna/YiJe/I2PJvzOztFLTsUCLEZ2TAjZgTLMArhaY8CUCvP2rpcSwAMVvnlNLYatXFjI+j8JOy/hkku+zvnnP1Ky0LnnnsgHPnATH/zgarZta+B1rzuL009/GytWXIOdwyc5+J2qBIwsY16sOuemAj8gyQa8HfiQ935NmP80KYts2r3tnJuPuZHPApZjVrtXOOd+DLwcuzDuAz7svX+owm5cA5ztnPsUF7GYOzmamfyZNl68d4mVzOdW3kE7s6mjiwP5M6884XbaTj6aHXOWcNunD+OQye2s/8k4enc4mp6cTPdNf4a69dC1Bl5zItz5l1C/C068zjba/nMY1wj3ToV3fQKeXgZ1Hk6+3bkbfwWdLTDrEvjpVfD64Cp/cjIsPRMe+i78oRU+9gbY9gWgE8Y1w6L5wFZoaQ57vh1og48ugqvOhl2HQuPzcMJn4bbfk9ysessNnqF//clh6gVuAf7kPdvD/FjF4GQsBrUXE6ffYhgEanCzzyfJ0l8YjnM1cD/wM6po+1ph+3WYAMhaTPeQxJXeFT5n40jHt2UEaV6dUE/pw48EaYbwG7dSXUIS5CcitWXe3zFS50L4DaMF9on0vDLnR1rIxoSWPpOE7PCQEcA7h2KbGQFcTRx/VgDnruccniFMgKNUAC8O+1xeEH/ta/+z9/9Zs7r4q7/6I1dd9cbwTqwUsAS714sRYsyLVcwddhVwOub6vhL4OvCWGrZxKuaOjgPFzcD7sZjJL2Ji9JgK66/Fgrb/AujhUY7iZfyQW1JitY49vIIbOGjxDu5496d57Fun8d/zX8Gsw3twvZa4tPXPnuPOeoiWJ+v5/Y2L4N974AO74NMnwapj4bbvwpSd8Bfvso02HwF0wF+dBy2b4YEz4XEHp38BTj0QVlwDE5bB/+mGti8BnbD0/dA9x/vFH3JuyWnAK7znCwDObf8oXPBL7z/7G+duXQQs8p5fO+fmAj/HAtp/CbtfCbdfB26p9z53cAqC8MVYLOoCLPnpSuDpWJvVOeaTJElFgfpNBmnFzNmXFkyQRsvpQVjIwWrMbXr1QFuEhuOcS6m1dA4mAqIb/zeYQN02UkKvgiCNU1Zw3M8YFxwpK2h/rTknY2EssQRTVoCuTr833ImJQ004R3eEqVohOwM4MCVk86yyetApEMMogGMSazU5BLEmcaW44CiAuzmbOZzKLDawA8aP57GFL+UrLMaF86qOXs7JuPj/9KfFzJ69LvVON3a+ihFkzItV7/0LwE/ja+fcZcDvatzMRWnR5b2/MrW9i4AtzrnJ3vtteSsHvg+cyZ+5lW7GcSJPcktq7nE8C0DPs/WMm9bNjJPa2fFQHY0v2RSWmMTcV7fDzGk438j4I3rY+cwJwEFw+wL4+GY44RSgF76427R543vgmTpYswxe+BVM+gAs6oWLd8LVZwML4V+nwideiw0wvbDgTfCeVc7xbfjBbDhviv0PMP0A+Oe/d463w/uOh2dabd4HXwyPvgC/ezPwZlv2mHZ46w3O9YnHnYhZFWdiN8ANWPjCK8I00bm9lQc8NpiF8Ab+MkyDip+FPoXIx5F0EIrdhA4J06tq+LwGSvvLTwzb7gjHGqdd2E12BpYQtpdBHlcejSS97NN97Vuw77cjNXWm/u/BrMvzsxschn0cbWIWeVNqyr6Ok8ceUruwQa2rzNRNYlWt/OH73/dZiUYs6zp7LrYA3rmSczA9qdPU/kVdmBrC3/oBTNn1YCsTeZYm2ujFNzZxzftP5Nqzk0992aVbmHfu87wlWE0vu+xw7rrrZG644QupfevFzkcxgox5seqcGw9cDrwWi4cEmOScq/feVxs8/lxqe/XAZViCzwwSa+t0koSFPH4GfJk7GM+h3Ndn7qPM5Feczo7dh9D70Sagjok8y2s+8SUA7uTbHPOtr7CEjcBs7uGlcO9KuPTzsPLP0P05+NRtQDOsWgL8P2i/BK4+CrpfDge8Ih4BeAeTtwIPwDvGwd+dDD9ugUN74OkD4IOrgJ3Q3gy9vVg2+27Y/dfwzAPAPfB4K6ydCfwIbpkOTx0L9cGi6z34Bnjid7D8C9jAdBJmRR0HXIu1Pn0hPGnPx6ynx2Hi9QbMijpoC2rY/kwSq+li7Ea0kqQr17O1xFGluk1l3fgtwCOUdvJaN6wxWklsYbnC+LuwmOk+NTj3Zwtp+F7GUd4Cmk5ImoDFbfZXF3T7vmYF3VfoJzkvLxY6fT4rOW+YGEAyWFn3f+b9/urh1poM1uU9PQ5ejY0z6/juts9z8We+3ydmNfLNby7g0kvPYvnyb/OmN7Wl5tRD/93ixNAy5sUq8HHgMOAk7/1659wxWBvOaM/YhWXRR2blbCN9I3w3Zj18FRbDOhnrrlLRPuK9b3fO3cxG3subuaLPAjfxHqbwHGfyHaawmx/zSp4ttbqlaKSbTuj13rPLud7n4Z4J3vMUgHMXHWSLTf0jJp7+Gbon5yeHNeHcjilwugc2QN3P4cB/AJrh6tNg12uAm+x1VxesawO2miBtagDmwREept8FK35K6Q1pERZ/Og1zqz+DhUQcDZwcSlLNxW44j4V9XRtezwNmBEtLXpxSbtZ+iBU8iNJkqB6SrlC/xgRkVYNb2N4s+tYv7SERpCuAn2ACcDgSvKIgLVeHNJu1fR9JZYf9SpCG5L9yGfHZ93rJF57rM693qu7l6JIJLXgyPa9M2bOjSK4F51x+QwTGkJAtSJmtzWXeT//fNYwP8BswD0hlrr76ID7xib/jYx/7Hp/+dFbMNqLSVSPOWBOrjc65canXPdjA1gFsdc5NwxKl0twLvNM5dzMWQ/k24JcVPiO2pXwBE7mfr2H/zmcS32cep5L9bXoZRxMdtLKbh5nFE5xKY26cpAWPt1vyUeAG4Dzn3I2Y+P7HOMN7v84592vgy865CzA39AJgnvf+1rDYj4D/sGPa85kgcHY5d+dmLDHqEQDndnfBvz3g/bd/49wdpwB7vOca5278A3AXuFXw3IPQ8HK4+S1w5BNw4newh4M9WND6MuDY8PqB8LnpOqgTSbosVbqx1jnHbszd2hLWm4IJlR1YDOga7PfdSLhJYoJvSlg3ewOOWf9pa+kc7GEkJj79CmsskP7+B80ACrvfSxJDOqolqwZLOPYW8oVnVoDG5grZjPi12MNOFKE7ZAXdPwhiM4bQ5AnZbEOJI0k1lIjltihQQ4mCNDDYXGZetoXtvlS+ajVJklQ+1103h4985KOcffZ1XHZZNokqJmdVW05SDBFjTazelHl9GfCvmBjbhA1oX6Y0ueoCzC29Bbg1LDutwmd8H3gNVjh7c1j/w9XsnPd+LbDWXezGYa1CE07hJ9zKGVzKa5jIc8xlJW0clrOZmcAK9pTEEn4HE4L3YYP3/wX+d2r+mcA/YUlek7Ab/hdT+7XCObcLE2YDqC/nN8E/XAg/vgIOmw29XVB3F+z5FHQ2YHGmx2M3v7uBS6nBupkmtN5cGI53KSYoN2IZ6WsxQbeH0pv/RKzYc/qmHl3nsTj6VGzQ2479rrFI+nOw1zo5I6y3qILFN3uz747HWWPLzDbgHkag9/twkbKCVpOQ1E2+6/15SuuCjhlLmeifcC7swu5pT2bn57TqPQI4jUTIZkMKorDdkblum6jexV2t+KylNeyuCvP2rjfWPQQeOpx5umx8vfDCc1i+PPlOFi58mPHj2+nomMg3vnEm3/jGmQC0tm7mhRcuIoyvKls18qiDVQEZ6g5Wo0G4gR+GxQcdjVm17sBE43ySLP5OTKDezQAEaihrlY43PQArJxbjTZ+qZEEL+3kAiaU0dnxqprTT03PYgFWuVEstrrNWEivvREqTdbow4bWFUlG8EbMYVhO31T3KFqHx9N+aM524Vq41Z7o9Z9m6v0JUS0ZY9iciW0naSB9A8tA6GbsPdGHXWw9m1d2KXbc7GILSS2NdWA4X6mC1byKxWlDcxe4I4Awsfq623sXL/aj1LnaOA0han3aQtD6dgXX+OI6UQPWetTVs22HHmI43bSYpvv845oLPdUs5Rz1Ja8n0tJtEkMY408HUSXUkJVXyCuPvJrHUpGtl7sSsvrXGjGXnNTA0SQnpeb2Ud71nRWkU3P0lJKkUkShLBWE5mASeJkxc1tSqNGe52C1sMvbgmb6+68kPK2gjZZEVo4czC/rAxlfzQIoRRmK1wATB+k6SmpZ5Qeex57wDrh8NoeocTVic6Usx8XcX1lyhkSSLv2aBGsTlQSTCdBE2UERhuhrYUCaRqpnEShpF6WzMWhkF6XOYuK25RmpGkOYVxo+CNOtGbPN+eDNJQ9JXtYN5HGynkojNSZSW2BqPnWedmLuxHRPWMeFlO2ZVilO6m1glS1KXBu79g5SwrNXTUGleExb+0Z91stas8GG1WIbQgmyiY3xobSD/vrABCdkRJQjW2sZXCdVRQ2K14ISQgBNIOmx1Y1auekwM9mAxOCtH0vUfBqcFmEA9HnO934GJlxeH9zqwElB3e8+6KrbZHLYZLafzMTd4FKePe8+WnPVa6VsmaioWo5oWps/XklSTanGaZx2dQb4gjTGko1baJDQa6C8RaTImSrvIuNzJt4Z2UCpGaonDKzevkcSVOqgONUgAV02qeUGtMZSVBGYMYRnMb5f3MLNfucKdYzzlPS6NlG+IsF3n9dDjEo9f/+OrXP+jisTqPkJIulqCXVwtmHjYCDzml/sRC/YOwvAlmEitxwTq+rBvx2FWtWhBrShQgwUiHW86G8uof5xEnLanlnfY8Wctpo2UxpY+C6yvZqBLCdJydUjj95zX43wkv/dYnqe/1pytmHDozw2/HeuONGrF1IMFOGuNG6x4yhPAgxVPu0c5BnioHg7i6+H4jvY7YTnSBCFbro5sLJeU93AsITtInF0X+eOrkqkKgcSq6JeQtf0iTKAuwsoircESD6oWqCGeNR1vOhXL0E0nQ3WnPjPGl8bEp4Owm0iJGx/YXOlmXUaQpoVpB/luuY3DLUiDFbRc7Gf2dSdlitFn3msfq4NXSgAPxhU9UKthF2aV2UNSezn7O9RDSUvJgVifK1kjZX3eD6kgZGdg52eekN3ICLZoFmI4kVgVZXGOucApWJmPWLS/GROuFQVqEIizSYTpYszNko43XeM9e5xjHH2TnmZh2Zppa+ka7/N7UKcEaV5h/ChI8+opDrkgTXXbqZQJH/9vpLLwTGfEq6XkEFEhrrecqJ2AhU3EGN70FNuBxnar5cSqC1Nd+BsFZAd2PbVTGhO8K/ytNjZT1s0xSEbIZsMLmilN5kxPErJin0FiVZQQXPPLMCvqZCwWdQ9Wu3QXiUBdn1mvAbOARmG6EBt00+J0I+yNL0278SeTH1/alfkMh1lj89z1M8Ln5XaqGYoC8CGRrL9M+BgL2kk/rTnD3w4NGJXJCMuBdtnJzstWTBhIAk+eK7zazmd5me6DdfWXS0gajCVWAngfxjlaKE38TE/NlA8tkJAVhUJidR/BXexaMBF4IDY4dWJibNAxq0EMHI4J1KOwm9Vu7Ia2kxyBGqyhC0jiTQ8J66XLSGUtpgdjVqV0iajnsIz+PWG7WUGanqZTKkizFtKaBWnGCtpfQlI9ZWI/KRWgO8aqFTScS0MZg9pMIiyHKr6yk1GsRTtc1FhDtJZ56VJPgw1BiDHAEsCjTBCy5WJks0I2/fC/db+7dswzkj++Kma1EEisFpxQDWAZSbZiF0m7uJit+D/AXbVWA3COmVg91JPDtnZhVsHNJAJ1Q1h2EqXxprMwwfk4Zn3twG580WI6DxO62cSnreHjp5F/o5we9iM3BqtaQRoqC/Tngo9F+dupLiFpv7KChtJg5SyTAxWY9QwikanMvP1OWO4rDHN3piFLgEPdmYaUYIzIq1gwExN2uUmn7GNCNlQDqG58VTWAUUVitcDUWGe1DriuvzqrQcQdj8WiLsUEZRPmho+dpNqwTh3RaroIE3dPYKJzZ/i8uZgwnYldyGlr6RpscMqrQRoFaV6ZlrKCNFjt0rGglRKS6uknE57EClr43tZlhOVgrWf11N4woD8R0bMvDVZi5BmCvvfllqul731VIR8SwH1JCdk8i2wUsnner0IJ2RrrrNr4qjqro4bEakEJQvW9wDoG2cEqDA6LMIF6Kpb0UY9l4t+F9ZhvoLT4vsP6ru/E4uAmYNbSSeH9KEi3YRf7NPpaSHeSn6FaIkiDgO6vNWe0gu6i/4SkbTCq5YbqGVyXnbx5ddQeQ9nfYC1hKfYLKgjgSuK2mmuxl6GJZ977el94OB4oZYRstNDmCdlorBhRIRuE6sDGVwnWUUFidQhxzj0NnOW9/82gtmOu/4H1Ln6SJfyQU9nDfJh+KdzzKLz1cnh4HixbD7+/GvhT2PZUTKAeignO7ZgbpA4Tn2CCdDPmKu/FRG3aQponSNuwYv7RFd9fQlIdicislJA05FbQkBg2GGtO3oBXxyCsOWX+l7AUYgQJAriBoRO+cdpDDeK2wrx9SgAHo0S5hgjjCYYM+oYXbBnKe19w/Q9sfDWP49cVEjDyNIz2DowGQVQeCCUX+NXe+3NGZ4/6sAy7odmFdDkf51BW8GZu62e9Tn7PSzlgxiY2tv0HcCr8y7tgcwtsPA/Gt2PH/TZMlMYLtRkToy58bhf2xNmKWVl3kLpxYBf5fZjbZDyJ+DwMK3PVillBd9JXeMYkrPR7VVlBnaMhVCsYSOvGcv87qncXbs95P289CUsh9nHCNdwdpppbMudRRgBXErdTKszb+9q5vQJ4MCE8JfOGOkk0eNNimFgJQcimxet8bCyZCYx3jk3ke+kq1tgug42vra0X0t7einNJqMeyZXdy+eU38d73nsHzzx9Ce/tkbrnlfF71qhew78hjHa9urvEzxSAZk2I18MbBWkCHg5D1fxL2dFkd3sELS6bx9CuOZesvlzBvQSdbd26he+IjsGo6LO6C8adhv3cTZvXsobTmY/r/Xpvf3gHj12Gu/2lY9r8nP/azjVIB2k7l9pyzw/aagXHhZtWfwMwTluVuwNsrzEv/7ZWwFEKMBMMsgKu1+GYFcO591zk8QyR843vlBHAQsmvClD2+PCG7LPw/ISVks1bZLdmY45D1n4yvl1zydc4//5GSD7z77kmceOKDnHzyzZxzzj9kdqcNOMnB71QlYGQZy2K1D865Zuwkfpn3/sHw3gwscegQ732bc+4NwKXYBbMK+JD3/v7MdmZh8aAHee9fCO8dB/wKmAO8BzgLc8f/LZYh/xHv/c0kxfPLP9X+lhexkrewmwNoad3JonduYdzSVh766lR2rGnmkbUT8NPfDK/eCr+cavqy5a/hggfg/HvhwgXw3RfDthZY3AZX3w7HdAD14L4A7/85/OxlsKcONn8cTnkj3HsK9DbCxI3wlSvgzC3w5GR4x1mw6nBo6oE33A9X3Q0N4+DCJXDdUli6Bm45GsZ1wCd/DOffR9+b2TYGcaMTQoixSkYA5zZNqZUggGNSZzUJcJNJSl6VDZUIAnigwrcDeBS4PzXPU1pZ5hD6CtkkpOAbTOFdTKKVtWUP/vjjd/DDH95Ke3sd5/RxtsZKAUvCfogRQmI1hfd+t3PuZ8C7gM+Et08Hbg1C9VjgSuCNwErgDOA/nXOHee93p7az3jn3+7DuFeHt9wLXee+7nXNgT3ffw+I+zwb+3Tk3l4s4EEqL4ZdwT/0h3NFwNks+sIOWpXW8sGIqq34ygxdd0M7Sj3fx8OX1zDu0kz3nbuSxN22Ec2fA6kb45R+BHvjGwfBvx8GPfw0nboVzjoHTT4PHrsUsq8AfXwQrvgJTd8LnjoYnDoeV58LSzfBvM2HyZmAdnPJZ6NwO150E/zUevnst3HgtbPkOfO4M4Duw+iL7zjrPhs9cAJ/5kFegtBBCFJYggHvCtGuotpvKEagmXKuVRACXsxiPC5vOitsNmIewEbMkzwbGs5IlNHAwz3MqTJjIYwtfyr8zi8lsYzpbmc02FrM5joRl6MbEsRhBxrJY/Q/nXNpS90nv/XeAHwHfJhGr7w6vwUTlt733K8Lr7znnzgdeAtya2f73gPOAK5xz9ZgAflNq/jPh83DOfQ/4JklB4vIWxJUtf8H0lzfRctRU3J5uZpzUybqbW2h/tIMpC3fhehqhp4OWzZuBjdAzGXysGVcPVx8OH34QXr4TcHDFPTDhxXDvgXBMeCr/7COw5GD7/9A50DAVHnsrLG2Dj4Qd6Xaw8XXwm5/AaeeZfp+yFn5xAXAMLF8CV7TDhhOAE2BLA0ybDY9+zzk6yh6fEEIIUT2OpFxheqrDNE7yt5dZ7GI8u9mDb6jnmvefyLVnn7h3Syf/Uyd//+EreUtFq2kvFk4gRpAxWQ2gUtZ+EJZrgLdgT2cPAbO89zucczcBp1Fq+WwC/tZ7f216u865cViS0nFY4tFXvPeHhc/4m7Dcy1Kf64HFXMQCrJPUur2fkE6w+grnso0luFRymKeeE/g+r+MuLufjLOUR/pKv+uX+v51zFwGLvPdnhM9ZhRXuTwviZuCV3vs7wn4s8d6vTu3becD7MBfLz4BPYBfremCi935XWO61wNe894srHaP3/vHcH0YIIYQYJhy8mji+trZ+nn/8x+/3iVmNtLfXMWHCFakEq8hs4DYP/z0CuywCY9mymov3vtc5dwNmCd0A3Oi9j4HwzwGXee8vq2I7nWE7Z2DF939Q5S5swARwPuPZwgxu4t0VshHrqKd8aY14DNdU2IeSJxjv/VeBrzrnZgI3AJ8ELsLcIYeQ1J07GKvBKoQQQhSNyuNrdTSi0lUjTuXIjLHLj4B3YIlQP0q9/x3gQ865k5wxwTn3eufcpDLb+T7wN5j7v1qxupokiLsvx/NHnuZU7mIBe4AdNPFbXsRWmsMSDsuAfKzM9r8FfNo5dySAc26yc+7t5XbGObcsHG9sx9oJ7PHe92LC9TLn3CTn3CHAx4AfVnmcQgghxEhSeXyNbNrUwNattszOnQ1s2hSXj8nP5cZXMUyMZcvqL5xz6Tqrt3jv3wrgvV/hnNuFZe7vtWB671c65z4AfB3L2u8AbgP+kPcB3vvbndVwu8d7/0w1O+WX+w53sVuB1ZhLZyyatfM4nmE7P+BW3sUvmUkdXUzhcY4LF089TWzhSb/c55bV8N7/3Dk3EbguCMxtwC3Aj8vsUitwOdY4oBOraPClMO9c4GtY5YNOTMxfWc1xCiGEECOJhw4HcXyFCy88h+XLk/JWCxc+zCOPXMGMGd/Y+95b33qJrew/iCV8rVDZqpFnTMasjiTOud8CP/Lef7fqdbIdrL7EZziG/+LV3NvPqkmHjeVebgohhBAihTpY7ZsoDGAYcc4twxKsrq9lvSA0rwNm8TDzaWc2i3i2n9Vi7+LrJVSFEEKIvgShaeNrUvqqP5LxVUJ1VJBldZgI5ajeAnzUe3/1gLYxxX2XTk7nKG7njfyC/JJWDZhrwmFCdVXOMkIIIYQIODgCeCfWYryNasbXJJlYjDASqwUnhAScgDURaMAy8HuxOnKN2AW2Algpi6oQQghRHSEkoLrxVRbVUUVidR/BXezGYS3eZmA1Tjuwi+excslUQgghhKiMMzd//viqZKpCILEqhBBCCCEKixKshBBCCCFEYZFYFUIIIYQQhUViVQghhBBCFBaJVSGEEEIIUVgkVoUQQgghRGGRWBVCCCGEEIVFYlUIIYQQQhQWiVUhhBBCCFFYJFaFEEIIIURhkVgVQgghhBCFRWJVCCGEEEIUFolVIYQQQghRWCRWhRBCCCFEYZFYFUIIIYQQhUViVQghhBBCFBaJVSGEEEIIUVgkVoUQQgghRGGRWBVCCCGEEIVFYlUIIYQQQhQWiVUhhBBCCFFYJFaFEEIIIURhkVgVQgghhBCFRWJVCCGEEEIUFolVIYQQQghRWCRWhRBCCCFEYZFYFUIIIYQQhUViVQghhBBCFBaJVSGEEEIIUVgkVoUQQgghRGGRWBVCCCGEEIVFYlUIIYQQQhQWiVUhhBBCCFFYJFaFEEIIIURhkVgVQgghhBCFRWJVCCGEEEIUFolVIYQQQghRWCRWhRBCCCFEYZFYFUIIIYQQhUViVQghhBBCFBaJVSGEEEIIUVgkVoUQQgghRGGRWBVCCCGEEIVFYlUIIYQQQhQWiVUhhBBCCFFYJFaFEEIIIURhkVgVQgghhBCFRWJVCCGEEEIUFolVIYQQQghRWCRWhRBCCCFEYZFYFUIIIYQQhUViVQghhBBCFBaJVSGEEEIIUVgkVoUQQgghRGGRWBVCCCGEEIVFYlUIIYQQQhQWiVUhhBBCCFFYJFaFEEIIIURhkVgVQgghhBCFRWJVCCGEEEIUFolVIYQQQghRHT2s8AAAAMlJREFUWCRWhRBCCCFEYZFYFUIIIYQQhUViVQghhBBCFBaJVSGEEEIIUVgkVoUQQgghRGGRWBVCCCGEEIVFYlUIIYQQQhQWiVUhhBBCCFFYJFaFEEIIIURhkVgVQgghhBCFRWJVCCGEEEIUFolVIYQQQghRWCRWhRBCCCFEYZFYFUIIIYQQhUViVQghhBBCFBaJVSGEEEIIUVgkVoUQQgghRGGRWBVCCCGEEIVFYlUIIYQQQhQWiVUhhBBCCFFYJFaFEEIIIURh+f9UZ/Gq0FaKiwAAAABJRU5ErkJggg==\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "name = \"Southern women\"\n", "\n", "Gsw = nx.davis_southern_women_graph()\n", "\n", "X=[n for n in Gsw.nodes() if len(n)>3]\n", "Y=[n for n in Gsw.nodes() if len(n)<4]\n", "\n", "gne(Gsw,name)\n", "\n", "pos={}\n", "for i,x in list(enumerate(X)):\n", " pos[x]=(0,i)\n", "for j,y in list(enumerate(Y)):\n", " pos[y]=(1,j)\n", "plt.figure(figsize=(12,10));\n", "nodes1 = nx.draw_networkx_nodes(Gsw, pos, nodelist=list(X), node_color=\"g\", alpha=0.4)\n", "nodes2 = nx.draw_networkx_nodes(Gsw, pos, nodelist=list(Y), node_color=\"cyan\", alpha=0.4)\n", "nx.draw_networkx_edges(Gsw, pos,arrowsize=20, edge_color=\"b\", alpha=0.6)\n", "nx.draw_networkx_labels(Gsw, pos)\n", "plt.axis('off');\n", "plt.title(\"The \"+name+\" graph\",fontsize=15);\n", "plt.margins(x=0.2, y=0.2)" ] }, { "cell_type": "code", "execution_count": 19, "id": "pending-fountain", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "The X-Y random bipartite graph is an undirected graph\n", "The X-Y random bipartite is a bipartite graph\n", "The X-Y random bipartite graph has 16 nodes and 24 edges.\n", "The nodes are:\n", " x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, y0, y1, y2, y3, y4, y5.\n", "The edges are:\n", " (x0, y0), (x1, y0), (x1, y3), (x1, y4), (x2, y3), (x2, y4), (x3, y1), (x3, y3), (x3, y5), (x4, y0), (x4, y1), (x4, y2), (x4, y4), (x5, y4), (x5, y5), (x6, y3), (x6, y4), (x6, y5), (x7, y0), (x7, y1), (x7, y5), (x8, y0), (x8, y2), (x9, y0).\n" ] }, { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Construction of a random bipartite set with a bipartition X, Y\n", "# where len(X)=10 and len(Y)=6.\n", "\n", "name = \"X-Y random bipartite\"\n", "B = nx.Graph()\n", "X = [\"x\"+str(i) for i in range(10)]\n", "Y = [\"y\"+str(i) for i in range(6)]\n", "\n", "XY = [(x,y) for x in X for y in Y]\n", "p = random.uniform(0.4,0.5) # probability of edge occurrence\n", "E = random.sample(XY,int(p*len(XY)))\n", "\n", "B.add_nodes_from(X, bipartite=0)\n", "B.add_nodes_from(Y, bipartite=1)\n", "B.add_edges_from(E)\n", "\n", "gne(B,name)\n", "\n", "pos={}\n", "for i,x in list(enumerate(X)):\n", " pos[x]=(0,i)\n", "for j,y in list(enumerate(Y)):\n", " pos[y]=(1,j)\n", "plt.figure(figsize=(8,8));\n", "nodes1 = nx.draw_networkx_nodes(B, pos, nodelist=list(X), node_color=\"g\", alpha=0.4)\n", "nodes2 = nx.draw_networkx_nodes(B, pos, nodelist=list(Y), node_color=\"cyan\", alpha=0.4)\n", "nx.draw_networkx_edges(B, pos,arrowsize=20, edge_color=\"b\", alpha=0.6)\n", "nx.draw_networkx_labels(B, pos)\n", "plt.axis('off');\n", "plt.title(\"A \"+name+\" graph\",fontsize=15);" ] }, { "cell_type": "code", "execution_count": 9, "id": "artistic-action", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "The X-Y random bipartite graph is an undirected graph\n", "The X-Y random bipartite is a bipartite graph\n", "The X-Y random bipartite graph has 16 nodes and 60 edges.\n", "The nodes are:\n", " x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, y0, y1, y2, y3, y4, y5.\n", "The edges are:\n", " (x0, y0), (x0, y1), (x0, y2), (x0, y3), (x0, y4), (x0, y5), (x1, y0), (x1, y1), (x1, y2), (x1, y3), (x1, y4), (x1, y5), (x2, y0), (x2, y1), (x2, y2), (x2, y3), (x2, y4), (x2, y5), (x3, y0), (x3, y1), (x3, y2), (x3, y3), (x3, y4), (x3, y5), (x4, y0), (x4, y1), (x4, y2), (x4, y3), (x4, y4), (x4, y5), (x5, y0), (x5, y1), (x5, y2), (x5, y3), (x5, y4), (x5, y5), (x6, y0), (x6, y1), (x6, y2), (x6, y3), (x6, y4), (x6, y5), (x7, y0), (x7, y1), (x7, y2), (x7, y3), (x7, y4), (x7, y5), (x8, y0), (x8, y1), (x8, y2), (x8, y3), (x8, y4), (x8, y5), (x9, y0), (x9, y1), (x9, y2), (x9, y3), (x9, y4), (x9, y5).\n" ] }, { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Construction of a random bipartite set with a bipartition X, Y\n", "# where len(X)=10 and len(Y)=6.\n", "\n", "name = \"X-Y random bipartite\"\n", "B = nx.Graph()\n", "X = [\"x\"+str(i) for i in range(10)]\n", "Y = [\"y\"+str(i) for i in range(6)]\n", "\n", "XY = [(x,y) for x in X for y in Y]\n", "p = 1 #random.uniform(0.4,0.5) # probability of edge occurrence\n", "E = random.sample(XY,int(p*len(XY)))\n", "\n", "B.add_nodes_from(X, bipartite=0)\n", "B.add_nodes_from(Y, bipartite=1)\n", "B.add_edges_from(E)\n", "\n", "gne(B,name)\n", "\n", "pos={}\n", "for i,x in list(enumerate(X)):\n", " pos[x]=(0,i)\n", "for j,y in list(enumerate(Y)):\n", " pos[y]=(1,j)\n", "plt.figure(figsize=(8,8));\n", "nodes1 = nx.draw_networkx_nodes(B, pos, nodelist=list(X), node_color=\"g\", alpha=0.4)\n", "nodes2 = nx.draw_networkx_nodes(B, pos, nodelist=list(Y), node_color=\"cyan\", alpha=0.4)\n", "nx.draw_networkx_edges(B, pos,arrowsize=20, edge_color=\"b\", alpha=0.6)\n", "nx.draw_networkx_labels(B, pos)\n", "plt.axis('off');\n", "plt.title(\"A \"+name+\" graph\",fontsize=15);" ] }, { "cell_type": "code", "execution_count": 10, "id": "supposed-roberts", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "The Erdos-Renyi random bipartite graph is an undirected graph\n", "The Erdos-Renyi random bipartite is a bipartite graph\n", "The Erdos-Renyi random bipartite graph has 15 nodes and 38 edges.\n", "The nodes are:\n", " 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14.\n", "The edges are:\n", " (0, 6), (0, 11), (0, 13), (1, 8), (1, 9), (1, 11), (1, 12), (2, 6), (2, 8), (3, 4), (3, 6), (3, 8), (3, 9), (3, 11), (3, 12), (4, 5), (4, 7), (4, 10), (4, 14), (5, 6), (5, 8), (5, 9), (5, 11), (5, 12), (5, 13), (6, 7), (6, 14), (7, 8), (7, 9), (7, 11), (7, 12), (8, 10), (8, 14), (9, 10), (9, 14), (10, 12), (11, 14), (13, 14).\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Construction of a random bipartite graph by bipartitioning the nodes of \n", "# a random Erdos-Renyi graph into the bipartition X, Y with len(X) = 8, len(Y) = 7, \n", "# and removing edges inside the sets of the bipartition.\n", "\n", "name = \"Erdos-Renyi random bipartite\"\n", "Ger=nx.erdos_renyi_graph(n=15, p=0.5, directed=False)\n", "\n", "X=random.sample(Ger.nodes(),8)\n", "Y=[n for n in Ger.nodes() if n not in X]\n", "\n", "I=[e for e in Ger.edges() if (e[0] in X and e[1] in X) or (e[0] in Y and e[1] in Y)]\n", "Ger.remove_edges_from(I)\n", "\n", "gne(Ger,name)\n", "\n", "pos={}\n", "for i,x in list(enumerate(X)):\n", " pos[x]=(0,i)\n", "for j,y in list(enumerate(Y)):\n", " pos[y]=(1,j)\n", "plt.figure(figsize=(8,8));\n", "nodes1 = nx.draw_networkx_nodes(Ger, pos, nodelist=list(X), node_color=\"g\", alpha=0.4)\n", "nodes2 = nx.draw_networkx_nodes(Ger, pos, nodelist=list(Y), node_color=\"cyan\", alpha=0.4)\n", "nx.draw_networkx_edges(Ger, pos,arrowsize=20, edge_color=\"b\", alpha=0.6)\n", "nx.draw_networkx_labels(Ger, pos)\n", "plt.axis('off');\n", "plt.title(\"An \"+name+\" graph\",fontsize=15);" ] }, { "cell_type": "markdown", "id": "social-ballot", "metadata": {}, "source": [ "### Exercise 4" ] }, { "cell_type": "markdown", "id": "iraqi-court", "metadata": {}, "source": [ "1. Construct a random bipartite set with a bipartition X, Y where len(X)=len(Y)=7.\n", "2. Construct a random bipartite graph by bipartitioning the nodes of a binomial graph nx.binomial_graph(n=25, p=0.3, directed=False) into the bipartition X, Y with len(X) = 15, len(Y) = 10, and removing edges inside the sets of the bipartition." ] }, { "cell_type": "markdown", "id": "undefined-paste", "metadata": {}, "source": [ "\n", "## 7. Trees" ] }, { "cell_type": "code", "execution_count": 21, "id": "arabic-stocks", "metadata": { "scrolled": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "The binomial tree graph is an undirected graph\n", "The binomial tree is a bipartite graph\n", "The binomial tree graph is a tree\n", "The binomial tree graph has 8 nodes and 7 edges.\n", "The nodes are:\n", " 0, 1, 2, 3, 4, 5, 6, 7.\n", "The edges are:\n", " (0, 1), (0, 2), (0, 4), (2, 3), (4, 5), (4, 6), (6, 7).\n" ] }, { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "name=\"binomial tree\"\n", "n=random.randint(3,6) #number of nodes\n", "T=nx.binomial_tree(n)\n", "\n", "gne(T,name)\n", "\n", "pos=graphviz_layout(T)\n", "plt.figure(figsize=(12,8));\n", "pos=graphviz_layout(T, prog='dot') #, args=\"-Grankdir=LR\")\n", "nodes = nx.draw_networkx_nodes(T, pos, node_color=\"g\", alpha=0.4)#,)\n", "nx.draw_networkx_edges(T, pos, edge_color='b', alpha=0.7)\n", "nx.draw_networkx_labels(T, pos,font_size=8)\n", "plt.axis('off');\n", "plt.title(\"A \"+name,fontsize=15);" ] }, { "cell_type": "code", "execution_count": 22, "id": "immediate-sacramento", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "The preferential attachment tree graph is an undirected graph\n", "The preferential attachment tree is a bipartite graph\n", "The preferential attachment tree graph is a tree\n", "The preferential attachment tree graph has 20 nodes and 19 edges.\n", "The nodes are:\n", " 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19.\n", "The edges are:\n", " (0, 1), (1, 2), (1, 3), (1, 4), (1, 5), (1, 6), (1, 7), (1, 8), (1, 9), (1, 10), (1, 11), (1, 13), (1, 14), (1, 18), (2, 17), (2, 19), (6, 12), (6, 16), (11, 15).\n" ] }, { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "name=\"preferential attachment tree\"\n", "T=nx.barabasi_albert_graph(n=20, m=1)\n", "\n", "gne(T,name)\n", "\n", "pos=graphviz_layout(T)\n", "plt.figure(figsize=(12,8));\n", "pos=graphviz_layout(T, prog='dot') #, args=\"-Grankdir=LR\")\n", "nodes = nx.draw_networkx_nodes(T, pos, node_color=\"g\", alpha=0.4)#,)\n", "nx.draw_networkx_edges(T, pos, edge_color='b', alpha=0.7)\n", "nx.draw_networkx_labels(T, pos,font_size=8)\n", "plt.axis('off');\n", "plt.title(\"A \"+name,fontsize=15);" ] }, { "cell_type": "code", "execution_count": 11, "id": "indian-white", "metadata": {}, "outputs": [], "source": [ "def hierarchy_pos(G, root=None, width=1., vert_gap = 0.2, vert_loc = 0, xcenter = 0.5):\n", "\n", " '''\n", " From Joel's answer at https://stackoverflow.com/a/29597209/2966723. \n", " Licensed under Creative Commons Attribution-Share Alike \n", " \n", " If the graph is a tree this will return the positions to plot this in a \n", " hierarchical layout.\n", " \n", " G: the graph (must be a tree)\n", " \n", " root: the root node of current branch \n", " - if the tree is directed and this is not given, \n", " the root will be found and used\n", " - if the tree is directed and this is given, then \n", " the positions will be just for the descendants of this node.\n", " - if the tree is undirected and not given, \n", " then a random choice will be used.\n", " \n", " width: horizontal space allocated for this branch - avoids overlap with other branches\n", " \n", " vert_gap: gap between levels of hierarchy\n", " \n", " vert_loc: vertical location of root\n", " \n", " xcenter: horizontal location of root\n", " '''\n", " if not nx.is_tree(G):\n", " raise TypeError('cannot use hierarchy_pos on a graph that is not a tree')\n", "\n", " if root is None:\n", " if isinstance(G, nx.DiGraph):\n", " root = next(iter(nx.topological_sort(G))) #allows back compatibility with nx version 1.11\n", " else:\n", " root = random.choice(list(G.nodes))\n", "\n", " def _hierarchy_pos(G, root, width=1., vert_gap = 0.2, vert_loc = 0, xcenter = 0.5, pos = None, parent = None):\n", " '''\n", " see hierarchy_pos docstring for most arguments\n", "\n", " pos: a dict saying where all nodes go if they have been assigned\n", " parent: parent of this branch. - only affects it if non-directed\n", "\n", " '''\n", " \n", " if pos is None:\n", " pos = {root:(xcenter,vert_loc)}\n", " else:\n", " pos[root] = (xcenter, vert_loc)\n", " children = list(G.neighbors(root))\n", " if not isinstance(G, nx.DiGraph) and parent is not None:\n", " children.remove(parent) \n", " if len(children)!=0:\n", " dx = width/len(children) \n", " nextx = xcenter - width/2 - dx/2\n", " for child in children:\n", " nextx += dx\n", " pos = _hierarchy_pos(G,child, width = dx, vert_gap = vert_gap, \n", " vert_loc = vert_loc-vert_gap, xcenter=nextx,\n", " pos=pos, parent = root)\n", " return pos\n", "\n", " \n", " return _hierarchy_pos(G, root, width, vert_gap, vert_loc, xcenter)" ] }, { "cell_type": "code", "execution_count": 18, "id": "alike-projector", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "The minimum spanning tree of an Erdos-Renyi graph is an undirected graph\n", "The minimum spanning tree of an Erdos-Renyi is a bipartite graph\n", "The minimum spanning tree of an Erdos-Renyi graph is a tree\n", "The minimum spanning tree of an Erdos-Renyi graph has 20 nodes and 19 edges.\n", "The nodes are:\n", " 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19.\n", "The edges are:\n", " (0, 1), (0, 2), (0, 4), (0, 5), (0, 6), (0, 8), (0, 9), (0, 12), (0, 17), (0, 19), (1, 3), (1, 13), (1, 16), (1, 18), (2, 10), (2, 11), (2, 15), (3, 7), (3, 14).\n" ] }, { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "name=\"minimum spanning tree of an Erdos-Renyi\"\n", "Ger=nx.erdos_renyi_graph(n=20, p=0.5, directed=False)\n", "T = nx.minimum_spanning_tree(Ger)\n", "\n", "gne(T,name)\n", "\n", "plt.figure(figsize=(12,8));\n", "\n", "pos = hierarchy_pos(T,0) \n", "nodes = nx.draw_networkx_nodes(T, pos, node_color=\"g\", alpha=0.4)#,)\n", "nx.draw_networkx_edges(T, pos, edge_color='b', alpha=0.7)\n", "nx.draw_networkx_labels(T, pos,font_size=8)\n", "\n", "plt.axis('off');\n", "plt.title(\"A \"+name+\" graph\",fontsize=15);" ] }, { "cell_type": "code", "execution_count": 20, "id": "public-lawsuit", "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(20,8));\n", "\n", "pos = hierarchy_pos(T,0) \n", "nodes = nx.draw_networkx_nodes(T, pos, node_color=\"g\", alpha=0.4)#,)\n", "nx.draw_networkx_edges(T, pos, edge_color='b', alpha=0.7)\n", "nx.draw_networkx_labels(T, pos,font_size=8)\n", "\n", "plt.axis('off');\n", "plt.title(\"A \"+name+\" graph\",fontsize=15);" ] }, { "cell_type": "markdown", "id": "juvenile-treatment", "metadata": {}, "source": [ "### Exercise 5" ] }, { "cell_type": "markdown", "id": "sporting-spending", "metadata": {}, "source": [ "1. Construct a preferential attachment tree with n=30.\n", "2. Construct a minimum spanning tree of a binomial graph nx.binomial_graph(n=30, p=0.3, directed=False)." ] }, { "cell_type": "markdown", "id": "cooked-bible", "metadata": {}, "source": [ "\n", "## 8. Weighted Graphs" ] }, { "cell_type": "markdown", "id": "adaptive-typing", "metadata": {}, "source": [ "**Weighted graph** is a (directed or undirected) graph with edges (joining pairs of nodes) labeled by a scalar weight.\n", "\n", "*NetworkX can NOT plot weighted directed graphs with reciprocating edges among pairs of nodes!*" ] }, { "cell_type": "code", "execution_count": 21, "id": "short-bathroom", "metadata": {}, "outputs": [], "source": [ "# Function alocating randomly integer weights on edges of a graph.\n", "\n", "def weight_attr(G,maxw):\n", " # G is a graph\n", " # maxw is a positive integer (maximum weight value)\n", " weight={}\n", " for edge in G.edges():\n", " ed=edge[0]\n", " de=edge[1]\n", " G[ed][de]['weight']=random.randrange(1,maxw)\n", " weight[(ed,de)]=G[ed][de]['weight']\n", " return weight" ] }, { "cell_type": "code", "execution_count": 25, "id": "dietary-glossary", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "The weighted Erdos-Renyi random undirected graph is an undirected graph\n", "The weighted Erdos-Renyi random undirected graph is a weighted graph\n", "The weighted Erdos-Renyi random undirected graph has 16 nodes and 37 edges.\n", "The nodes are:\n", " 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15.\n", "The edges are:\n", " (0, 1, weight=5), (0, 6, weight=1), (0, 8, weight=3), (0, 12, weight=12), (0, 14, weight=1), (0, 15, weight=7), (1, 3, weight=4), (1, 4, weight=7), (1, 6, weight=1), (1, 8, weight=2), (1, 14, weight=6), (2, 9, weight=3), (2, 12, weight=1), (2, 13, weight=2), (3, 5, weight=11), (3, 7, weight=4), (3, 10, weight=10), (3, 11, weight=6), (4, 8, weight=1), (4, 11, weight=1), (4, 13, weight=11), (4, 14, weight=4), (5, 7, weight=8), (5, 9, weight=7), (6, 9, weight=10), (6, 10, weight=11), (7, 12, weight=12), (7, 14, weight=4), (8, 10, weight=4), (9, 15, weight=12), (10, 11, weight=12), (10, 14, weight=4), (11, 14, weight=7), (12, 13, weight=7), (12, 14, weight=1), (12, 15, weight=3), (13, 14, weight=8).\n", "min weight = 1 max weight = 12\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "nodes=random.randint(15,26)\n", "p=random.uniform(0.2,0.3)\n", "name=\"weighted Erdos-Renyi random undirected\"\n", "\n", "G=nx.erdos_renyi_graph(nodes,p)\n", "maxw=random.randint(5,16)\n", "weight=weight_attr(G,maxw)\n", "w_edges=[(x,y,z) for (x,y),z in weight.items()]\n", "G.add_weighted_edges_from(w_edges)\n", "\n", "gne(G,name)\n", "\n", "edge_width=[G[u][v]['weight'] for u,v in G.edges()] \n", "edge_width=[w for w in edge_width]\n", "print(\"min weight =\",min(edge_width),\"max weight =\",max(edge_width))\n", "\n", "pos=graphviz_layout(G)\n", "plt.figure(figsize=(8,8));\n", "nodes = nx.draw_networkx_nodes(G, pos, node_color=\"g\", alpha=0.3)\n", "nx.draw_networkx_edges(G, pos,arrowsize=20, width=edge_width, edge_color=\"b\", alpha=0.5)\n", "nx.draw_networkx_labels(G, pos)\n", "plt.axis('off');\n", "plt.title(\"A \"+name+\" graph\",fontsize=15);" ] }, { "cell_type": "code", "execution_count": 27, "id": "affecting-result", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "min weight = 1 max weight = 12\n", "The weighted Gnm random directed graph is a directed graph\n", "The weighted Gnm random directed graph is a weighted graph\n", "The weighted Gnm random directed graph has 17 nodes and 38 edges.\n", "The nodes are:\n", " 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16.\n", "The edges are:\n", " (0, 2, weight=5), (0, 4, weight=3), (1, 16, weight=2), (2, 3, weight=1), (2, 14, weight=2), (3, 1, weight=4), (3, 12, weight=1), (3, 13, weight=5), (4, 2, weight=4), (4, 6, weight=2), (4, 8, weight=2), (4, 9, weight=1), (5, 4, weight=2), (5, 8, weight=6), (5, 16, weight=5), (6, 11, weight=4), (6, 14, weight=5), (7, 1, weight=5), (7, 13, weight=3), (7, 15, weight=4), (8, 2, weight=6), (8, 15, weight=3), (9, 3, weight=3), (10, 6, weight=2), (11, 9, weight=3), (12, 4, weight=3), (12, 9, weight=6), (13, 9, weight=1), (13, 12, weight=5), (14, 3, weight=2), (14, 8, weight=5), (14, 15, weight=3), (14, 16, weight=4), (15, 5, weight=4), (15, 10, weight=2), (15, 12, weight=4), (16, 2, weight=5), (16, 7, weight=3).\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "nodes=random.randint(15,26)\n", "edges=40\n", "name=\"weighted Gnm random directed\"\n", "G=nx.gnm_random_graph(nodes,edges,directed=True)\n", "\n", "for e in G.edges():\n", " if (e[1],e[0]) in G.edges:\n", " G.remove_edge(*(e[1],e[0]))\n", "\n", "maxw=random.randint(5,16)\n", "weight=weight_attr(G,maxw)\n", "w_edges=[(x,y,z) for (x,y),z in weight.items()]\n", "G.add_weighted_edges_from(w_edges)\n", "print(\"min weight =\",min(edge_width),\"max weight =\",max(edge_width))\n", "\n", "gne(G,name)\n", "\n", "edge_width=[G[u][v]['weight'] for u,v in G.edges()] \n", "edge_width=[w for w in edge_width]\n", "\n", "pos=graphviz_layout(G)\n", "plt.figure(figsize=(8,8));\n", "nodes = nx.draw_networkx_nodes(G, pos, node_color=\"g\", alpha=0.3)\n", "nx.draw_networkx_edges(G, pos,arrowsize=20, width=edge_width, edge_color=\"b\", alpha=0.5)\n", "nx.draw_networkx_labels(G, pos)\n", "plt.axis('off');\n", "plt.title(\"A \"+name+\" graph\",fontsize=15);" ] }, { "cell_type": "markdown", "id": "offshore-youth", "metadata": {}, "source": [ "### Exercise 6" ] }, { "cell_type": "markdown", "id": "public-imperial", "metadata": {}, "source": [ "As above construct and plot:\n", "\n", "1. a weighted binomial undirected graph\n", "2. a weighted scale-free directed graph" ] }, { "cell_type": "markdown", "id": "seeing-satisfaction", "metadata": {}, "source": [ "\n", "## 9. Multigraphs" ] }, { "cell_type": "markdown", "id": "stone-frost", "metadata": {}, "source": [ "**Multigraph** is a (directed or undirected) graph with multiple edges (joining pairs of nodes).\n", "\n", "*NetworkX can NOT plot directed multigraphs with reciprocating edges among pairs of nodes!*" ] }, { "cell_type": "code", "execution_count": 37, "id": "linear-colombia", "metadata": {}, "outputs": [], "source": [ "def add_multiedges(G,k):\n", " # E is a list of edges\n", " # k is a positive integer for the edges to be added in parallel to existing ones \n", " edges = list(G.edges())\n", " for _ in range(k):\n", " e=random.choice(list(E))\n", " for b in range(5):\n", " edges.append(e)\n", " Gm = nx.MultiGraph()\n", " Gm.add_edges_from(edges)\n", " return Gm" ] }, { "cell_type": "code", "execution_count": 38, "id": "pointed-india", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "15\n", "Counter({(0, 18): 6, (4, 24): 6, (6, 10): 6, (8, 1): 6, (8, 16): 6, (8, 22): 6, (18, 2): 6, (18, 7): 6, (18, 14): 6, (21, 22): 6, (1, 9): 6, (1, 17): 6, (5, 19): 6, (10, 16): 6, (16, 15): 6, (0, 3): 1, (0, 4): 1, (0, 6): 1, (0, 8): 1, (0, 21): 1, (3, 1): 1, (3, 5): 1, (3, 7): 1, (3, 10): 1, (3, 16): 1, (3, 19): 1, (3, 21): 1, (3, 23): 1, (4, 8): 1, (4, 9): 1, (4, 11): 1, (4, 14): 1, (4, 16): 1, (4, 21): 1, (4, 22): 1, (4, 23): 1, (6, 9): 1, (6, 11): 1, (6, 23): 1, (8, 2): 1, (8, 12): 1, (8, 15): 1, (8, 19): 1, (8, 20): 1, (8, 23): 1, (18, 11): 1, (18, 17): 1, (18, 23): 1, (21, 2): 1, (21, 16): 1, (21, 23): 1, (21, 24): 1, (1, 11): 1, (9, 13): 1, (9, 16): 1, (9, 24): 1, (11, 2): 1, (11, 10): 1, (11, 19): 1, (11, 24): 1, (17, 10): 1, (2, 5): 1, (2, 20): 1, (20, 15): 1, (20, 24): 1, (7, 10): 1, (7, 14): 1, (7, 19): 1, (7, 23): 1, (7, 24): 1, (16, 13): 1, (16, 22): 1, (16, 23): 1, (16, 24): 1, (19, 22): 1, (19, 24): 1, (22, 13): 1})\n", "1 6\n", "The Erdos-Renyi random undirected multigraph graph is an undirected graph\n", "The Erdos-Renyi random undirected multigraph graph is a multigraph\n", "The Erdos-Renyi random undirected multigraph graph has 25 nodes and 152 edges.\n", "The nodes are:\n", " 0, 3, 4, 6, 8, 18, 21, 1, 9, 11, 17, 2, 5, 20, 7, 10, 16, 19, 23, 14, 22, 24, 12, 15, 13.\n", "The edges are:\n", " (0, 3), (0, 4), (0, 6), (0, 8), (0, 18), (0, 18), (0, 18), (0, 18), (0, 18), (0, 18), (0, 21), (1, 9), (1, 9), (1, 9), (1, 9), (1, 9), (1, 9), (1, 11), (1, 17), (1, 17), (1, 17), (1, 17), (1, 17), (1, 17), (2, 5), (2, 20), (3, 1), (3, 5), (3, 7), (3, 10), (3, 16), (3, 19), (3, 21), (3, 23), (4, 8), (4, 9), (4, 11), (4, 14), (4, 16), (4, 21), (4, 22), (4, 23), (4, 24), (4, 24), (4, 24), (4, 24), (4, 24), (4, 24), (5, 19), (5, 19), (5, 19), (5, 19), (5, 19), (5, 19), (6, 9), (6, 10), (6, 10), (6, 10), (6, 10), (6, 10), (6, 10), (6, 11), (6, 23), (7, 10), (7, 14), (7, 19), (7, 23), (7, 24), (8, 1), (8, 1), (8, 1), (8, 1), (8, 1), (8, 1), (8, 2), (8, 12), (8, 15), (8, 16), (8, 16), (8, 16), (8, 16), (8, 16), (8, 16), (8, 19), (8, 20), (8, 22), (8, 22), (8, 22), (8, 22), (8, 22), (8, 22), (8, 23), (9, 13), (9, 16), (9, 24), (10, 16), (10, 16), (10, 16), (10, 16), (10, 16), (10, 16), (11, 2), (11, 10), (11, 19), (11, 24), (16, 13), (16, 15), (16, 15), (16, 15), (16, 15), (16, 15), (16, 15), (16, 22), (16, 23), (16, 24), (17, 10), (18, 2), (18, 2), (18, 2), (18, 2), (18, 2), (18, 2), (18, 7), (18, 7), (18, 7), (18, 7), (18, 7), (18, 7), (18, 11), (18, 14), (18, 14), (18, 14), (18, 14), (18, 14), (18, 14), (18, 17), (18, 23), (19, 22), (19, 24), (20, 15), (20, 24), (21, 2), (21, 16), (21, 22), (21, 22), (21, 22), (21, 22), (21, 22), (21, 22), (21, 23), (21, 24), (22, 13).\n" ] }, { "data": { "image/png": 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4HI40cILpcDgcDkcaOMF0OBwOhyMNnGA6HA6Hw5EGTjAdDofD4UgDJ5gOh8PhcKSBE0yHw+FwONLACabD4XA4HGngBNPhcDgcjjRw03s5ug1ZIoXAKHSm+AKgATgAbDOLTUNPts3hcDjawk3v5ehyZIn0B6YB09FOWgMQA6KocDYBHwJrzGJzsKfa6XA4HKlwgunoUmSJjAUWoAK53/4NEgXK7d8nzGKzpfta6HA4HOnhBNPRZVixvBCoAOrT2KQQGAI85kTT4XBkGk4wHV2CdcMu4h7mspUzqGMcA3mBr/E/AKxiCMu4DaGueaPRPMjneAQYCCxz7lmHw5FJuKAfR1cxDYhRQgXTuI/tnEiMglZr/QNXUUg8sDQGTAHe6IZ2OhwOR1q4tBJHp2OjYacD+7mE17iYNyiguh272A/MlCXSWmAdDoejh3AWpqMrGIXeW2EBPi35ceQOiMfox3tcyu8YTbXdLg8YDWzsyoY6HA5HujjBdHRFfuQAu49w3vjqKWyZtYhx+6opL36DST94gMf3f5ZlfJtvsdiu1Qj078CxHQ6Ho0twgpnDpJMfKUukI/mRBSSzLt/5/PF8dM63MJECCgfHqKubzoHPvM8lP/s1f2Ap+yhmEEfs9oUd/3YOh8PRubgxzBzFpnwsAo4F9gE7gL1Apf27wy6fDiyy66dLAyq6rdl77CzENAEGIxFiheVUzDidqilqTcYRu2aU9FJRHA6Ho1twFmYOIuXyPRr4O2oY0SLV421G8zQ3U89wAErYwFn8htlUABfKEkk3P/IA2IjYeiI0EMUQweQVEK+NETlygNrtBUTKohQMz+ewTOLZupspZQVDqLX7yAdcWonD4cgYnGDmGLJE+jOVETRyL1uY2SLVYySVXMR/MJUKYkS4jwt4ku8wm6+jxQcWyBJJJz9yO1ruLsqdLGIbn9bFTfDG92DIaRuIzqpj77I+xKoiRIrLKZ0Y5dQxt8FLoNZlE7Ct88+Aw+FwdAwnmLnHNM5jOVDBbYzjCOXNnwyjhmHUABpyI8RpYIT9tJ408yPNYlMvS2QlcCyf5x7gHur75PHy/7uEeH4BA9etYctJV9Dv7PGYSDEISJNQtfUk6j5YTVHVQGCFK8jucDgyCTeGmUO0yI9Mxb9wL//OQ6zni4xhme+T9uRHrkYtRQ3c2XDeeOL5BRQd2MfAjbspPrCFvLp9YFSaTbSYw8OOZ83Fc+x2a9v/DR0Oh6PrcBZmbpE6P/Lw0EI2nz6OU+b8icJNu9l+axH9TYVvjbTzI81ic1CWyBPAhcSie9k7YwoAw99ZQ+GhevLqD1NU9RHxaBGxwkEgUYwZTPWIc1n5yb83y+5345cOhyOjcIKZW4TnR75541zy6+o5NGI4+6eeBSbG4eEz6DtzD2/f9FkKrrmdAQV7KaiuZcDGIqpHThNhP1BtTPLiBGax2SJL5DEqZl5P4cFhSFMF45/dTtWYEgCKDuzEEKG2fC7FB4uINBbwzueHcWDSycD7XXQOHA6Ho0M4wcwtQvIjJULV2GNoLO7LkfJJxPPKMBIhr24fDcVDMSafg3nHwIQBAFSPKKZi+lhgDmBEOAwcsq+q1n/NNgau28/INys48fa9RJtG0GdnnJKKYqINhrEvrGDjeRPYfspQ9k2LUjdgIHCFCM8Zw/ruOjEOh8PRFk4wcwvNj2yR6lFQQL30o75sDIfeKiSv7xFKxx6iaMtGNj56AtGCBoaUrKN8+Tbq+5ZQcHg4+yfvQwWxj+81MskxS6mcPJPKyYdZf+HzTHkkjyGrYNeJDTQVNdJ3x528/cVGGks/g1rA+cBxwGdEWJLKgnU4HI7uxE3vlUPIEpkAnMvtnJ5I9bAM/vgOCsfHqHhkKI0H84lEGikesp9x579PvwkHGfHW20x/YB0qjE+ZxWajCFGgDOgH9E3y9yR0jsutwEe+I85DA4Jes/tYAIxBBbMR2AD8EHgetVjrjMHdrA6Ho8dwFmZuofmRn2cZcA8A7103k73TZ2AiUWoHjmfgaYfIr91HUdWuFlvuPGk2+TUxJv/tMDY/0lp/VfbVChH6o2K4EbgLjX71hHQ0MBR1Ee+36wxB78l84Bjg26i12QA0ioS5fBN/jXGVgRwOR9fhBDOHaJEfqYUI4MiAfgBIPEZx5SaOlE8g0lQXuoP9k87i/fK7zUN/TDc/8mTAAG8Zw4f+D0QYiIriH1EBngj8FDgNKELvzRGoqG5Ex18H2VcoopNRJxVUVFQb02y7w+FwtMAJZu6xGpiJukPraejbt/mTiBVNiTe12irvSJRIXHj2h8eJsNyY1GklIhQBJ9q3r4Ws4pXAKzGGBmCVCLcBY4Hx6L1ZBpQD30et0FSu376o0BahlmqydtWSXFCraCPyNxvogtlpHI6cwAlmjtEqP7KhpE+LFSKxRqYve5I1l5xOrLAIULEs213Ge9eto2psI3CVCEuNSVm67kRUlDcbw66Qz5sF07fsb8A5qFXZx24/G/g08FNj2APsCTuYCGL3lUpQ+9p1SsDWy22NP/I3mbAeNoZ4iu+ekXTh7DQOR07gBDMHac6PrBl6BWW7+1A7uJZ4vgbURBrqGfH2fqL1z7Hqio9TdLA/kZjw3nXr2DHPG6vMB64R4Q5j2B3cvw0GOtm+fTVJM1oJpjHUivAH4ARglj3OQOBi4GngvaTfSQOCauwrTKA9US0jtaimE/kbF6Ga1JZqbSYFKdnZZhagArmP8OIVUVRMj5Ml8kSahfYdjpzBCWaOYhabLTLlzy9RWDWNEW8NJdIUIV4Qo7CqFhjC0A/zyatbwQv/fAxbzjpE1ZjguGYRmvrxO2NaldqbhgrQPkiaSxlmYQK8BfwVjZgdhIrmVOA6EVYfTWCPFbBq+9oRtk6akb+l9m+/FIdrEkmVn8ohuiny14rlhei4darzF7PrFNK+2WkcjpzACWYus+6iImAHay7dzfC3+1K2u4jBqzegltxByjds44PrRwHXED6/ZSkqZL8zRiNlrRU3337+egpBCBVMY4iLcCdwCnA6Ksx9UFftOaiYdhltRf4CiJBHwsWbTFiLUet4YIrDNVhRTWqp2vHdDmPdsAsIiuU7jOJZvkQtE8mjihn8not53X5aT/tmp3E4cgInmLmNRpw2lsXYesYBu+wl8/wtbzevsZiPRHgA+BThxfr7kRDNGtQyHIEKYqrydsksTIxhkz3mZDT9JA8NBrpGhDdCLNpuxRia0Im2K5OtI0IBqQW1H+lH/raK9qWlqLYO0kowDbUcE2JZT4TH+WdG8Tc+zfd5nhm8yvcYyzeYxc7mtdKcncbhyBWcYOY2g0OW7QsuMIbVIjwKXJZkP+Woe/YOtCABaCpJqhSOpIJpeRg4Ex2/LEMtzXnAJ4FbU+w3I7CW4T5Czic0W+KFpB/5OzTZsZJG/g57t45rh5xE0YHt5PkuxQeMopGBXMujRIBzIh/wQXw1b3EWs7jLt2tvdpp3XfSsw+EEM2exD+wwy2Zv2PrG8L4IhcAFSXY5DPiC3WcjOhaZipSCaQwHrWv2OHQMMw9NF7lchGd7e51Z66qus6+uifwtODSAlZ+cwKExVUQb6sg7Ukt+bS0HVpfB0xE2fnwMhYfrWXvRmcT/bxjVFY20NFbTnp3G4cgFnGDmLn1Rl6CfBtQ6CcUY3rT5lWcnWeVkdOzuj8ZwuI3jNwumCJJkrPN54EnUxevlDOZMndk0I38jJIKQWgrqoDUzEXsdYoXFxAqLqe9fTsPkUeS9HeGpslsY+Fk4vKY/NXvyKB1byIqTpjLp8Q0UVXnK2Qj079pv6nD0Dpxg5i5h1uW+NKI2X0JdhPMDy/NRKzMKlIsQSZWraAxNIjSgIliIWlrBdRpFWIrWo51LwoX5CeAp25acxp5jL/K3BbLkS9uBDTQVHKR6RDE1Q4qpHVzG6suuYdR3D7F76SD2fQGKJkCfj8WJ1MOW08+lYuZ0Bm5Yz8Qn1tFnVwxvEnCHI8dxgpm7hI1fhrpj/RiDEeEpaFHJB9QdGEUDYUYBF4vwaBsCXIMKZgkhgmlZBTyKltEbjt6zE9FAo/eMaS0UjmZ0dpq8hjgDNtcwYHMN204RYvnFFE7MY8y/NmEi+gzY+p0I/efn0VA2jLyGGvZNm87+KVMZ+cZ++m7f3KPfwuHIEMKiHh25QaiFmc6GVgT/Aqy0iyKoSALN1X+OBxbYcbhktBX44x3rPnRMtA6ax/VOQ3MLHck5QNDtvvG8kzGRAuo/AlNXT7wuTuVDhqYD0OfCEuJ5JdT1G42RCCYS5dCIiTz540tFuEKEYT3zNRyOzMBZmLlLhyxMD5sv+RD6QD7N/j2MPqQ9TkFF7vkku2lTMO2xdotwD1o0/hgShdmvEuFlY9iebrtzDJ2dRi3/GHtm9qd6+CRMtJCqZ/M4+EIJJmYoPhZGLYkj+UJj3mgisSPU9RtO6d6dxPPi7JxTjdYfninCBuBlYEsmVTJyOLoDJ5i5S4ctTA9jiImwDE2MB0KF60wR6o1JXYA9jcM9TqLObF98dWZF+Il7eLemxew08UgF688/kXh+CfFoIcM+e5hhnz1EtKGKeF4pTcXDMERAojQVDUZiDeQfHsrOkzbSWOYPrppoX9tFeBlY6869I1dwLtkcRIQSNLLST4wUifgpGANsQa3TiiTrLBDhhJDlaQumMdQCS9FSe03ovTsQuAitO+sIZzUQZdu88RwpH0qsoBREO8rRhiqKDnxEtOEg0boKBINBiBWUU3C4iWhjnG3zNyXZ7yjgKuArIhxvSwo6HFmNE8zcJMwdW9nBGTjmoWL7G5LkE1ouFuHYwLL2WJig45iPoW7fOBqZOw0NAHKRnCGYxeYgdX2f4sCEU4k0FhPP03Mt8QbyjuynoPYg+bX76L/lRSR2BMEQqY8g8Vl8eOVHHDxmFzrZeLKZaQYBlwLfEGGerXDkcGQlTjBzk7QLFqRChCGoe64ReAWdDDpZ3VEBrhBhom9ZuwTTCvpdwLtoBKg3+8g5wMfb2/6c4T+qhvLWl3ZQWNWfkopipMkQaawmr05zbvtuW0VBzSH6bnud0l0xSiph7cIou066EC1JONQYbgd+B6xLcpS+qGv+ZhHOsl4MhyOrcIKZm6RVEi8NTrF/3zOGWmM4hLpNkxUtiAJXijDGvm+vhYkxbAIeAHaTqEQzFrhaJHlN1lxFhGLgDHbMq+K1b+5j9/HQZ3cT/TdH6b+piZKKYoasbOS4pZsYuLGGg8esYuWVMaqOEfQ+ORcdhx5lDFuN4W7gV8AHEOqR0OOpcJ4v4ooeOLIHJ5i5yVFbmCKUoWOHBppnucAYKlHRPJJkU28uzeF0QDAtj6DzbHrH8OrMXtHO/eQCZ6IiBjXDBrH1jDreunEz6y7Ywo65O6mYXknV6LcYuOl+XvrHn/HRuY9SN6ACva4RNLBqLOodKAQwhj3G8BDwv2hh9rCawflo5aevi3C59UY4HL0aMcYFuOUaItxM67kcbzUmvPxakn2chVoSa4zh3pDPRwLX07r8nkctWpDg02iFoZ+ne2y7/3OAH6NjmHno7BqvAl81JqnbMKewFveXSXSMr0ADpqqADSSimn9tU3ciwGfQFJIvoR0Rg3oM/g941xgeDjlOKVqJaS6eOIezDnjZGLYe5VdzOHoEZ2HmGDYoIyiWhna4ZEXIR8vVAaHpIhjDDjRYJNnUUyXo7CdFtN/CBHgRLY93CG1/Afqgv9bOV+mA80j8xkvRc+3VCvaudwzrXbBjxA/b90/Yz7xx4kXALBFmBg9iDDXG8Bzw33a7ZPWIJwOfE+FzIkxuo6iFw5FxOMHMPcLcsQfbmIoryCxU5HZCcmvBjjfeT/hYF6g1chzQz1o3aWPbuxT4kEQAkFdnNljnNucQ4RhUoDxGotHFBq0765Ui3OMvYm/Hof8ErEAtQoOe2/FoKcSFIgwIO6YxNNh82/9B3ebJOmFjgKuBG0WY5VJSHL0FJ5i5x1EVLLBWgRfs81pbSevGsBZ9eIatZ9Cxrll0bEaMVejDfR8qyl6d2c+I0KcD+8sKbOdjQWBxKYkxY//1buWGN4bVwNuotelZ8FE0GnkwOsVa0meHMcSM4T3gF8C9hBe0AJ2u7TJ0nPNk67lwODIWJ5i5x1GVxAMmoYrdIDEAACAASURBVKJbhQpWmxjDB8Bfk3zciLr8rmtvDp8V63sJrzO7sD37yjJOoOWE0xFa/tZTCqblCbQQxf0k3OoF6JjzaHT8OiXGYIxhDXA7cAc6bhpGP+B8NLL2DJeS4shUnGDmHkdbEm+e/ftGe+ajNIa3gKdDPvJcwWPR2rDtGn80hj3oWKm/bqpXZ3ZUqm2zERvJGpyvdA+JKbqOoLPEeIQKpjE0AA8CO9Ao6Dg0Tzq+ADjdlx6UEiucm43hTuDXqLs3zONQApwF3CTCApFWY+0OR4/iBDP36LCFaVNBxqMRqe+098DG8DJauNuPJ5j5aGH1T7Z3PBOtM/s8KgQGFYcT0TqzuRZYchotyx42kphGDVp2juKkqM5ko6afBl5AhdUbzzwBGIemmhS1p3HGsNsYHkRTUt4iPCisAO2YfUOES0VC71mHo9txgplD2OCKgSEfpWthetblO8Yknb+yLZ4Blvve+wUTYCpwSXuEztaZ/QMapBKsM3t8B9vZ67BFAk4JLH4NWpQk9F/rCmOSRjF7vA5sRKdY8655FB17LEeDgNrdKTGGA8bwGPAzdCLwsPspgl6/r4jkpsfAkVk4wcwtBtL6mh82JmmRgWZE6AvMQK2MNzraADvu+FfULQetBRM0COgT7XwQL7f7DdaZvb69VlAv5lxazkBUjRbG94oGNNAy5aPNvFt7vbyI17+RSDUpRVNNZnAUxe+N4bAxPIOmpDxl2xzGVODvRLhBhIk56DlwZABOMHOLoymJdzJ6v6wyJmm92LSw+X6PoBZhmGB6xzuznfu8k9Z1Zs9GozuzGjueOD2w+BlgAnoeQK+1f+wwrUIVxlCNXq9VwFoSrtmxaD7uBSKhnou0MYZ6Y3gFTUn5E7A/yarjgGuBL4owswPue4ejw7ibLbfoUEk8G706274NLVTQXmzA0P2oBQStBRPgDJH0cyqNYbPdp7/O7Bi0FF/W1pm11lYwjWQX8D5qZXspNsHOUdqVnWz1pDeBh9AIaS/V5ExgGDqeedT5lMbQZAzvoCkpy9Bc3zCGoZWLvibCSS4lxdEdOMHMLTpqYZ6AVonZakzSnLp2Y4sPPIi6CZM98M4TaRbrdHgUDSzy15k9BQ0mylY33ky0MIGfx1FX7FA0CKqJljPJGLRj0R6eIpFq4nkGClDX7Eja4RFoC2OIG8Mq4LdogYqPkqw6ALgQjaw9LYfc744ewAlmbtFuC9O6vJoLFXR6i9RaWUF40IfHQhFmpLMz6y6+E33ANqJW0BDgcjSHNKuwllVwarPVxrAFHffz3LGVtKy4tLed1Z38HZwd6L3gpZqUo6J1qgjj2/0lUh/TGMNHxrAUnXN1JeEpKaWo6/1mEc7L5cIVjq7DCWaOYK2rjrhkp6K9+Ep0/KqzqUWF7X00YCcMQavLpCt4Xp3ZalrWmb0uC+vMzkfnovSIod8dOskd68fmvT6FRrbuJDGeORMdL73MTinW6RjDTmO4H/g5WokoLA+4ED0nN4lwsQjlXdEWR27iBDN36Edrt2c9yeeu9PBSSV63gTWdjVeuLYq63pJFSUbQuTTHtrXDFHVmFwAfO9oGZwrWijo1sPgNY6i0KSbDUAszTusgmg4JpuVNYD1aZekIifHMS9BO2cVd6f42hv3G8Gc0JeUV9D4OEkVzcb8qwiI7e47DcVQ4wcwdQgsWpKoFK8JotAxaHfBeF7WrHn2gF6Ji+UcSIhokD50oekQa+11NIh3CqzM7geyqM3sOLTtBtah1DeoZALUwD9DaGuuwYAZSTR4jkWpSAlyJWrYndHT/7WhHtTE8haakPE1450/QPNS/F+E6ESZk8Vi2o4txgpk7dKQknmddLrel0jod+/D1BLLYGCrQMcgwqwFUWK9tq/qL3e8ysrTOrK26FMx/fM5XUGIaKqZFhF/n9gb8tMAYalDRXIt2TjzX7Gh0zPv87opMNoY6W0XqZ8BfSO7aPwad7/MLIkx3KSmO9uJumNyhXSXx7BRO01DrocOFCtLEE8wS0LEq2p5L87pk00x52PG2u2lZZ3Y4Wmd2dCe0u0fwpZH4LaW96LieN6HzGNQda2jtjt1vTNIOSdoYwwa0EtCjJKYOiwCnk0g16bYxY5uSshyd7PoBkncKhgOfQt21s7NwXNvRRTjBzB3aa2GejD6QP7SJ611JC8GE5pzKZSSfS7MP6blXHweeo3Wd2at7sWtuKprA7+cJ3xjzZPTa9UFTdoLegWS5jR3haVSY7qNlEYorUWEKFoLvcmxKyofAraiLf1OSVb3yiTeJcKpLSXG0hRPMHMAKQ9oWpn1wnGjfdkUqSZBWggnNyfIPE55GAPrA+0yqqExb9m8prevMLqQX1pm11tC5gcUbrLXn4Y1flhHeKTqagJ8W2Fq0D6Ki+RKJVJMBqBjNF2FCZx2vnW0zxrDRGP6A5nN6ruMgZWhqzs0ifFykORXH4WiBE8zcoBRaiUowkd3PbDQVY5MxRzfWlSaeYJYGPzCGFWhgSTKGoGOahSnWWW734a8zOxW4oRdaFXNpWUA/js5dCTRXZfIEqg9dLJgAxrDXtuE11P3tjWdOR63dy6ybuMcwhh3GcB9aQehdkqeknIpanAuPttyfI/twgpkbhLlj94elidjyZifbt692aasShFqYHnZc6qmwzywjSTGXZoo6s2fROuk/Y7Gic3pg8dtWsDwmohHBeagohBXW71TB9NoBrEFTTWpJpJosRAW+S1NN0sUY9hnDo2jN2ldp7a4GPXdz0LJ7n7QBVg6HE8wcoT0l8Y5FE+H3QQs3X1fiTWgcKpgAtjD3Syn2MR74VLJ6prbyzTJ6d53ZM6GFRVyHzgPqpy137IGjmJotKTYq2Sua/mcSqSbFwKeBKagIZQTGcMgYnkRTUp6l5aTaHoLOxvJFET4jwvhMEH1Hz+EEMzdIq8KPfRh4xc5fS5Wj2cmktDB9PIumiSRjCqnn0gyrM3syKrQZ/SC0aTTBmrov2vQOb50o6gKFbnLH+rHzkj6MFjXwStgJ6gGYDywQaZ5qLCMwhiPG8CKakvJXkg9TTACuR6cYm5bp94uja3CCmRuka2GORSMba4APurRFLUlLMH1zaaZq23HodFOtHmjGUIVGTQbrzF5GQmgylfNo+XutRCvu+BlHwgIVwhP5OzNCthXG8BHq6vwz2kYv1eRU9N7q1lSTdDGGRmN4E/hfNIhpT5JVR6IRwF8R4YRM/C6OrsMJZm6Qbg1Zr1DBW+0tzH2UpGtheqL5KKnr2p5E8nSGl4AnaVln9jg02jYjH34iTKR14finbISqn6m+/5NNCt5lFqaPZ1FhDqaaLEJnTwlG+WYMNiVlBfBr4C4S088FGYSWAvyGCPPbCDpzZAlOMLMc+0PuG1jcKpndFqmegkbPpnJ7dgVpCya0mEszWX4dwGkirevG2o7AH2lZZ7YvGVpn1lajCc51uRkNsPGvJyQEM0p4MAt0g2Da6+NZaS+QSDXpD1wKnNyOQvo9gk1JWW8MvwduJ3kHrQ9q/d8swtk9HQ3s6FqcYGY/YdblgRDrxLMuP/CPi3UTzYKZ7tiQbf+9kHJ+znNFQgNNUtWZDXYueprZtHSpG7RIQXB8eSSJmUmiaMGCIFV2nLHLMYb9qPv8DWArifHMafZ1aW/JdzSGbcZwD5qS8h7hxTSK0Ajmm0W4oK0qVI7eSUa6oBydSpsFC0QoIZHE3x2FClpgDI0iNKJuu3ySW0fB7epFuAv4LCQNJrlQhHrrZvO2MyLch46rfQK1bL06sxehrrgex+aInhVY/L4xoVai3x17gJCcVrrHHevnPdSVfC/wNfQcR4HzUe/ApSLc1Y3BZUeFTd95RITn0A7mbFrPAJSH5srOEWEl8LIt0ZgSWSKFwCi04EMB+hs4AGwzi02X1HF2tB8nmNlPOiXx5qD3wvpATl93UotOwVVCmoIJGuUowh9R0QxLNBc0cb7eVg7ytqsQ4W40uX4C+v2HA4tEeNEYtnX8q3Qap9PSTd0IPBNcyVrl03yLaskAwbQdkz+j1u+j6BhmHolUk9+jUcqvd2e7jhYbPPa4CC+i4ngyrQuDRNA5QmeKsB6Nzt4a7BzIEumPXrvp6LlpQFNyoqhwNskS+RBYYxabZBG8jm7CuWSzn5QWpg10mWvfdrt16aNd45h+bK3bpYS7IUHv80UireqvPonmMfrrzM4mA+rM2iozJwcWv5ykru8gaJ4o2RuXDaNLI2TDsKUJHwY2otHNnmt2ONohOFeEYd3drs7AGGqN4Xk0l/NvQFWSVSehHbrPiTDFu7dkiYxFOxHHop3YHehvs9L+3WGXTwcW2fUdPYgTzOynrZSSmWiS+25SB9F0NR0WTABjOEh6c2mO9G1zBPgDGtDh1ZkdgFanOTFsJ93Ix6FFEYZDJK+85HfHbiIhnkG62yULNBfSfwkd09xPItXkFGAEmmoSdG32GoyhwRjeQFNSHib5LECjUcv6y3LKz84nFr0IFccKwkv1YZdX2PUudKLZszjBzGKs9RgWfLDPfi4kgn26s1BBGEclmNA8xpRqLs0CtO6sf7zzbbTObCUt68xe11N1ZkUYi1odfp5Okerjd8fuJdzCrDYmNC+zu3gBDdC6l4TLPR+dZmswGmnaqzGGmDG8D/wSnZ4u3K3fb+toBm68kVe/M4cPPzWO+j6JobGHOI1/45cs4X7+ld/wbPN9UI8K5wLrxnX0AG4MM7spp/XDs9pXGm0CGixTjaZZ9CRHLZigc2nascnPEH5/F6PRsL8zhgPGELeBQ/NRF2ExLevM/uVo2tNefHNd+tkBiaClwPr9UCsNVPCTlb3rEevSwxhiIjyE3m/PobmYUXTc+goAETYa0zJdpjdiO55rgbUijEGDyxKFMcY+P4h41FA3oIBdc05kz6wZlK9dy84Hilh95AZO40fMZx2bWnV261GLcwpdP0etIwRnYWY3bRUs8KzLN2zuXE/SKYIJzXVj7yP1XJrXeXNp+urM7qFlndlrbUm67mQWCQH0CEsj8Zji+z/j3LF+jKESteaXowUBvPHMyWjN1ovTmN+0V2EMW43hbuBXwAcUHBKGvz2E2sGJoYN4fgF7Z8xkRdmNjJrxGseN2UYehklUMonKwC73AzNliRR049dwWJxgZjdJxy9FGIpamI2oW7KnSTrFV0cwhvVo8nwyoRmAiqYn0I+i42xeO7q9zqydmuucwOKVxrA1xWb+8cs1kHRmjR4XTMsHqLW8jESwVRS1qgehEc1ZV6fVGPYYw0NcefnDlG/Ygom2zIOOx4Qj+8s50ncsv6j8LT/k9/yKL3KIoDB6HbrR3dV2RwInmNlNKgvzFPv3XRv80tN0moXpYQwr0ZqmyRiMnUvTV2d2E4k6s4Pp3jqz86GFhRUDnk62sp04e5xv0QaS56N2e4RsGNZSfgztuD1MItilCLgKOIbEBADZx4Rn8pj813c55WePMnjVSiKNOp5bX1kE8QgHPzqGU86/jev5OtUcw30sCtlLI1o1ydHNOMHMbkJTSmyFlePQ3n2m5MC1OcVXRzCGd9D0kWSMAD5tozRfpnWd2ZmoJdql4/22wlCwNN9rxnAgxWaTSfyGt6Pjr2G/6RoITUfpEewY+oNoib93SJTOG4aOHZ8t0sotnS0UADHK9tRz/B8+4GM/fpThb7+D6aOWZL9FZey59hu8/PDtDLo+wv7QSlUxcLVrewInmFmKrUEaNp61D827jAJr7LhSJtDpFqaHMbwKvJhilXFotGYczedcQes6s6d2drsCnEPLqjE1pJ7/E9rhjs20ajq2MMQLaAdlH4lUk7no+PEV1kWdbTTgTxcqqmpi2kPrKItUkFdufDF6ApFkrukoySPBHV2IE8zspT+to0SPoD80r9fak4UKgnSZYFqeI3Vk4WTU/bqW1nVmj0Fdt11SZ9bmhs4KLH7WmOQPRWsRT/Qt6g3jl0FeROvM3ktCAPKAy1HvyCd6qF1dyQHwdQRiecJbN86jbuAI+p4d5+BjQtNBiB2Gvc8MY1DoRAj5JJ+309GFOMHMXpKVxDseFaUdJMsT6xm8cdTirgj6sBbW48D7KVabAVyABqS8gaZoCHq+TkfrzHYqSdJI9gDvtrHpBBIW6T5j2Efr6FqPjBRMY4gDD6H5hc+grkbPqr8COFGkVT5qb2c7WiQjSlNBhLe+Mp/qUWNpKuzHoEWNFE00bL4xwqavFlI0ooYrWRbYPmq3z6Tfbs7gBDN7SVYSzwv2eTWT3HQ2raUOvSe7pGCAby7NVLl+c9Dx3bvRh5I+3HR87UqbV9eZHAut9vmEFZNU+N2xq0WIonNNhpGRggnNFZr+gnYQNpFINZmIXoeLba5pVmAWm3pgJbHoYN768nyqR4zBSIRIUy2RaIyhNxom3hNn4h11jP/cRvq0KlZRDqxwBdl7BieY2UuYhVmC/uAOolNcZRpd7Zb1rJoHgI9SrHYqGiTzHC3rzJ6IltfrlN+NDSQKTqa8zpiUbfPGp/35l2vQDlI0ZPUjZLj7zhg+RGc2WUYi4CqKVv/xUk2y51m16/h1rLpiLnX9xxFpbCC/tpqig+l0agrR85Jq8nRHF5I9N6EjSJiF6dWhfCMNC6Yn6HLBhLTn0jwdnUh7LRrG768ze0InNeVkWqYHxEkd0esxlsTsGIfQlJFeE/CThL+hQwYPkUg1KURrr44jAyf37ggi5HHruwt4/abD9N1WwOCVW4k21CMm7Pfov26FaMrQE27Wkp7DCWYWYsfFgoLZB33g16Oh/JlItwgmaMFsdN7LVHMVHoNWpTlAos7sFOCGo60zK0IpKsp+3rJjkW3RIjrWCmJvC/hpgQ1wehANAlpOItVkMFqi8CwRRvVcC48eG6h1FTCZHfN2UTvop9T3OZYZ926isVA9QuITSTGepT0EnbruMbPYbOn+ljs8nGBmJ2W0ztMajo4Rvp0q+rKH6TbBhObZSv4IKVNrmoB1aEdD0HN7Jq1dqe3lLFpeoyNomkVKbGcomE4CvVwwAYxhB+oGfxodb/dSTeagVvUVIr0z/9AnlhNRN/8feOY/hvDOF+9i77T1lFT2pe82KN0DxfugdI/Qb3MR6pL+EFjmxLLncYKZnQSty0L0QR8ns4s2d6tgAtgZPFLNpVmN1u/cR8uyZNd0tM6sLUs4O7D4BWOSTk3mZzg0B8EcAbbY8b1kc0r2GsG0vIIWNLiHRKpJFE01KUejmHsVNp/0ajSyWcVSf49j2HXiY9zzlxpe+seNbDivnl2zDJWTDLuPj7P6sl3AUrPYvOHcsJmBE8zsJBjwMwp9uK6yJeAylW4XTGiO1FxKotpQkA2oFerNBNLhOrN2/fNoOYvMfgjNtwvDb12us9HFgyB0Psl6UlvPGYcdW/fmlHySRKpJGTrZ8iwRZvZcC9uHFctrgPHAYeAO1MW/EHjMDg1MpqnEUDm1nl1zYdtpsPPkGLtOqnbRsJmFE8zsxG/5RFGrpJbkExBnCj0imAB27DDZXJr1qFvsMIk0k8Go1TMlZP1UTEItDT9PtmO2mHa5Y3tJwE8LbKfuz2ih9g0kUk3GowFXC0Uyv5aqdR9fi7qTq4Hf2zlbzwB2GsN6mzIzFL2vmgK7yMTAvJzGCWZ24rcwh6NuxA3GZEYB7hT0mGACGMMuNBAobKLmrWgqSiOJOrMz0Lk106oza3MlgxMlb0LHSNPZvpxEcfUmYKP9v9ePXwYxhlVocNqDqLvcC4A5B+2sXJHJqSY2KOwzaI7tIVQs91t3/IloVDAkqjXtpvXctb2us5PtZOwN5zgqPAtToDmy8Nkeakt76NQpvjqCnUrrPmhl8cVRi8cLRulIndnZtOzMGFLPdRnEb11usO48yELBtDyOnu+HSFhfXqrJaFpHGWcEPrEcBVShYllp3fEXoWUPD9vVvZlwdtJaMJ2FmWE4wcwy7I+1zL4dhI631QBv9lij0qdHLUwPY9hA+Fya+1A3qNfOfDT15Lq26szaqbjOCix+1xh2t6Nprdyx9iGclYJpOwQPoNb9myRSTQahlvoZXVB56aiw1/k6YCQ6Vvl734wzc9Dv8LZd16tTDITeB87CzDCcYGYf/vFLb5LZle0YI+tJumSKr45gXYJ/CvloJVqHN4b+fkpQC/PiNnZ5OoliA6CzVqRt9YvQh8T1jJNw45ZD6KwejWgwUa/GusmfQdNNdpOw7k9ECxpcfrQ5sZ2FnYz8erSmbyVwhw0o867fWcBffB6FcWinaze0ipA2OAsz43CCmX14Lr++9tVI6oLjmUQd+qAosuN9PYoxvIu6Bf3UotN/VZEoZjAcWJTM2rFjj3MDi1/yueXSwR9ctMWXgpLMutydodWcOsJr6PjxvSQilaPo7DKD0CCgTi/Y3x5sIYrr0fSe/ahY+iPSzweWG0OFb9kk+3cd+ix2Y5gZjhPM7MOzMD1rZCfh7p6Mw/a8PSEoTrVud2EMrwPPBxZvRHMFvTHEIlLXmT2XlnVeq2j/xN1h0bGQXDAzPcArbex98TDqEn+CRKpJKZpqMgMt1N4j2AnZr0ejXfehYnnI9/kUVEhf8i0TEuOX6wl/FmdLhydr6NJZ5B09wmBUbAahP7gdkFa5tUyhFn0QlkC7LLCu5AVUFL2ZXprQYuHDUMGKAoPIq72Ik361WpZ8ewfqJm3gta+Xkv+v02ks87vEnzYmNBI3FOtyHO9blI5g9urxyyDGUC3Co+h9MQXtQAiasjEHaBBhW3dPiG5drdejv7e9wB/8ngObh3kB8GjgmpejpSpr0d/oCbS2MB0ZhrMws49BaMCBoPMMNqA/5N5CRgT++LEWzhO0nKNyN2oZ1FF0wDDqlXxmLT2Rst3foK7PbGASscgsig98gbP/aRYz/ziKfluL0ILvH7azCZNIWKg7PVdfNgf8hGEMa9ECDw+iVrqXanIWmm5zRXe68m2g1w3ob24PalkGO3lnA5tCZqDx3LEbrOs87FnsXLIZhhPMLMLWqxxE4iHqTTLb2yxMyCDBhGbR/DOwylsErGDAugpm3GsYsgpqhuSzY+6xfHDtKKCS9QvL2DtDqB1Sw4i3BzP/x8dy/tdWdKCYQDJ3bH/C5w5tond1ktrDk+h3u59EvmwBWqd1JFrnt8uxBQduQC3F3ahlWRNYZwTqLg6bgcbvjgXnku0VOJdsdlGOPjSiaJReDVDly9frDWSkYIKWbRPhITQXcAIjX4PJj1VTcewRGstKAcFEB7LjlIvZ+eZGds6ZBUA833B4RA0D1u9kzm2zZcnPd6dbSNumHkzyLfIL5ogkm+3JooCfFhhDowgPoO7M19EI5QhendmCQxE5/58aOeXntXhucU3v2NZZZeZslaHrbRu03qsW8vevE0FzLp8K1gi2FYDGop2uDd5iWrpkXZRsBuIEM7sYigomJOZ67E3WJWSwYILOpSnCfQxc9wWOu/tEPlwhVCwtoGFXhD6nGYbdFKW+zwSWf/Hz5O/cyfqlJ1C1YQwmHqEotpE5fA9YIEtkWZoFtY8hkTZSSUvLMWfcsX6MYY8IT0FzHuNIig4Ig1bOYuKTTeTXTaOuz9MUVdehnccCoEmWyIfAmqMpZC7CAFQs+6OBVX8MiqXlFLR+8wchn01ARX6rb1tnYfYCnEs2u5iDWj81JIpu9zbXXEYLJtiE+s+e/gH5tVXk9z/E8DPW0u+MRA1aEy2kdtAsVj94Jk1HCjn+5sdYeOW/cGr8VrQubYz0a9D63bGrA+7crI+QTcGbqDvzXvpvrGP6fTBkdZQ9x81i/5Q4737uGOIRr4PhBb5NBxbJEhmbYr9JEWEg6obtj3ZIW1mWdr3+qOX7WBL3uz+dxMMJZi/ACWaWYANAvCjO7b6PnGB2MrJECumzZzKT//wXxsxazYjjVpEXPQRGH3CGCHU7izm8fjDjvraDktJDTH90JfOba7/uB2bKEgkrOJA4jrr1/MK6xvdZTgX8BLFC9ChjXoxx4u3rODLAcHioEC8oZOMHC3jhzr/jB/GH+T++YTeJoUFwlcCF7RVNm0t7Azq12jbUsqwLWU+AC4HXjWldOMJ+7gnm+uDnwa/ZnjY6uh4nmNnDOHRMqwGN2PNwLtnOZxSQR9neWo6/41nyj9Qgh6sgbvMDJcKR9VHyhgjbHpvOqz+8mv+q/wWPMN9u759XMxWjSdTVPUzLjlBfws9RjN7XSeoYt0geF371CLHCDUTi2xAMBiE6oowhlx9gwLSNmILgtGf1qHAukCWS1ownIgxCxbIvsAW4M8Uk7MeiovpKks+Ho6Urq2w7mg+DqyWb8TjBzB7mo/mXO2j5Q+ttD8/eIJgD8IoW9N9ay8y7n4X8Aojmg+hDr2k/NGyFSHkfpv7qI8ZcvZH3o9/ihWnH2300QptTVLWIjk3THVthTKtporKVaQxdsYu+21fRb9vrSFMNgqFsvlB84Wii/QUzfAhNBcHnXNpucTtJ+A1AH7RYxV3JxNLmy34CLX+XrBRls3UZuJ7BNrqgnwzECWYWYHvAXqUT//hVbTBCrxfQGwSzAG82k4NjSvjwqjOI9W85aXekUCAPBl4lNJVPInrRLEon1bJ2+BW88u2zqJxQho43h2Jdd8nSSSB5hGzWu2PBusV1THI/x935HgXVB+m742Uwel2M5BEfOhpTUsL71x0fsos23eIiDEHFsgwtzXdXGxHnHwfW2hlvkhFMJ2k+XIptHBmCE8zsYB7quttNy7kce5t1CRkwxVcaNABRNpw3muU3LmTf1PMg3+ZDGrUaCscl1jZEMHklmLK+NI2azL6p81h9ybk8/tP5KSZCHopasqAW0abA5zk7fmlRtzjEiOdH6L95G/V9hiOxepAISASTX0h8yEh2zD2Hj84eGdg+pVtchGGoWJaipRDvSVWdydYRngI8nWKdUrSj00Tr6+lqyfYCXFpJL8f+CGehFtn2wMe9bfwSVIxiQL4I+e0pIddtHB5azY6TZrPltIFUD5pOxAePIgAAIABJREFUfXQkxggmLsQbQaJQPB3yB0HlsjgDPyUcWSvUfigMvqGA2kGzqR5ZzZbTGoEyEV5Di7H7vQF+63JdiIsvlyNkoalgIPsn92XdwmOpnHgSDaXDiRf0w0QLbfCVFZ9IhNrBs3nn8yPYNftPzP7NSxRVeS7rULe4CMPRKbqKUUvwvlRubltd6CLg8bBAIB+TbLs2h1iqLkq2F+AEs/czB72OB2k9RVCvszCNwYhQQyKopaqNTboVEYZStPoTnHHLaOr7lrPziWPZvyxRjq36BRh4FQz+dBOjvlPLrl+WUPlQHvmDhWE3xSkYLdAUpaG0HxXHLUDdiiOAE0V4CXjDdhKSumNt/dIyWhOnZSBJ1iHCUGAuU+++kb47pnJ4eCnxaBEmUgCRPEyzpWbU0sQQjxTRWDKC7XM/w8Gxx3LcXfcz+rUKtGNWGNj/CFQsi4C1wP1pjAl/DP39rWpjvbB0kuZDhyzrDVPy5RROMHsxtgqMN23UXlqPifVGCxNU+DNKMO2Y4knAedQNyGPraTFK9h5P+TVC+TV+15lBTJxI4yH6DtxM6b/0JZ5XSiR2hFjhQOKmjNL9QsVxECssQIuqj0DHyEYBc0VYjlqQBnXfbWjZmqTW5d6MtMiPEttBOA74JHoNhlM9vB+l+0uJFeQ1B1phDBFTTzwexcSjmJjBxCHeAJFoAfH8KNUj5vPmV8ax46SHmX3rJvLr633HGQVci4rlGlQsU4qWTTc5BfhNqpKH1gqdYN+GpZM4l2wvwAlm7+Y4dIxlF1oaLEivszAtGRX4YycGvoREVGVfNp09j+nLConWQawIvIebxBvIP7JLRbKpjvwjB2goG0qk6QjRxsNIYxl5dYPYNzUfnUtT0Af0VLRc2iq0E9QHFdHXQqIysz7gx87yMRWd6ePj6FhjH/SeKKJ2UBRpspZkvBGJ1xOJ1RNpqmHX/UPZ/3AimKf6BaF8UZxB10QxkWIaS8ew9dTPEs9bRfH+FfZ4o1GxLESvwYNpiKUAC4GXvYmiUzAavc57jeFA2O4C712UbAbiBLOXYn+s8+zbFcB5gVUaIDEnXy8jYwRThPHA5ejDGvSBeiF1A8vZsECY/BgcHmKIFYGYGKV7lyPxRo4MnK5rV1cQzyvERKL02b6VgpoxvHddBXUDGlDrcghavi2Cdn5mAzPRXNr+wD4RRhrDDl+zsjLgxxZqGIfOPrIQdWH2Q++DYvR5pSJ5aEwjECN6pI4Ih8k/vJNBa9+g6GAVkcs+yahLYpRWrKaxZABHBk4mVtCfeLwEIlGMFBCPDKBywkm8+6//KcJtqKDlozPJPJRmLd7jUBFMZ27TdIsV+HGCmWE4wey9TETnvjxEuCW5rwOzYmQKPS6Y1oV2JlrizOv9R9DpmsYBEarGw7oLDBOfBBMxNJbsYPp9d7Hu4gub9wJQsncHkfgkSvYWseLTr7D/2HpULDehgjAPjYiN2Fcxam0OQQuHF4nwDvCMne8xqwJ+7LjkyajL9Vj0vvZEsoDE+Y+h9VlriRVVc3DcQab8aQsDNr/I2Be2k18X57WbTwMgWl+FGENBTSVle56gsaSMA+PPIlbQHxMppKQyyu7jC4kVnQD8N7AS+B1piqX1OpwL3J2muCZLJ/EIc8k6wcwwnGD2Xjzr8g3C3bG9dfwSelgwbYHtK9AxRT9zUKvC+90Yqo4xrLwyxpAVlcy47x3GPwu7j48Qy4PiyiLKdvUlnh9jx8nv8951ezk0xqs9uhoN3FmFPkRPAE5Ex24FfYCWoO7IWajAzhThXfR6B8cqDS0rPGU0dlxyFnqe56KTcZehIllIImo0jorkEbTa0U7gNeBBpj20ndm3L0TL3cWJR6B6uKaJ5B9JjH1H6+s49d//xopPr2LTOYuI5Y8n0ljMvmneOS5Cr+vVwGYRXkxDBM8DPjSm7U6KTR0ajKYHJcvRDAv6cYKZYTjB7IXYHLFjULfrO8A5Iav11vFL6EHBFGEm6g4MBlAdg1qb+bQMxohRN+AAW09/kMqJ9zH3l7vYfspc6vrVIOYQTYUb2TX7EI1lMdR1Ptm378Pob/BBdLzyQ7QO6WjUsjL282HAxajLdRoqmFvQNCJvnG1fpk/j5huXXIha6i3HJROTZMdRcam1rwp01o8HgOXGeJ3B25Altz+BnrMKds3uQ6ywDIk1Eq1PzE0pcUO0yXD8Hz9k1OsVbDxvEa9/Yzp1AwaR6JwUo8L9a+BOEX6RZKzRc9OPB36R5lf3rMuNKcZFXaWfXoATzN6JV2T9XWM4Yst3BXGC2Q7sw/wCIKwqTLn9rDiwPIa6TJ8GdnN4xHKz2NTJLexGrZ4q+7nHQPShfzUJi6IA9RbchorJFDRFYQxqcRXadQvsshFANSo0I9FybbvI0PFLOy45HnVvpx6XVKu5FrUmK1HL+1HgRXQqrFZDDGax2SJL5DFgAYeGT0cahbz6g4hvXTFxVIzLGbQ+ygef+Q8OTLoBOAN1hXsBWCWoiH8FOFmEJcDb/uPayPSFwF/b0UFJlU7SvGtctZ+MxwlmL8O6smaiDxgv2GBQyKrOJZsmNlH9k4S7tkvQpPQ+geVx1EJ8CO2crPAlrRsITWAfgVqFjwPn+5b3B64E3gKWo0K4w+73DBIBKZ5wlqOu23327yhgtQiSKePWdlzyFNTlmt64pI7HbwWesK+16dTFNYvNFvnalAdYc9lMBq0pJm97E1BKPBonEovQZ3t/9DeygnsebmLtpReg48fPoEFWF6PntNC2bQDqTbgDuF2E24yh2h7udHSC7rVpnod8tMMArdOD/LjCBb0AJ5i9j7lob3mVMRywwQfBMnIxEvNh9ka6RTB9U6J9nIQ70E8e6jocTMugDE8Q70GFrRAVuuZdo/mTwbkSBQ0YetPuc47vs9GohVmDTh91nz3ODjR/73TUNesXzuHog363bWepCE+1Ucu0y/CNS3r5ku0fl4SVxlBDe/n52kHAfvIPv87wt8so211Efm0ejSVNmOhKZjywlFvMMcCn0Gv9BtpxuQd4CfgW6jotQa976f/P3nvHx3VW+f/vZ0bdsmRZtuVe5BLX2HGq03sgkBAgBJKFBZYalrKwu7Qfm8SULOW7yy4tQFgCARISEgg9vXfHceIex1W23G3ZVpdm5vn98Xke3TujO9LIlmMpmfN6zcvWzJ2ZO7ecz3PO+ZzPQefq34FFLtrcjc7ZTX3Ysynu8+qtpamH7fLTSgaB5QFzEJlLG3on+4z7Nyq63J8jc2+g2lEHTGMoB65AbOPITVB6dDrpEZFPHT6GnO1FyBlGkT+6zUMEaq1ljTH8HaVoa0PfdwICyy3AcmvZaQzPozaLOqQKdAE6Lt7BFiGwfTuKTKcbw0uIUXvU0/LumpyF6oj9UJc8bJsHQGf5WurOmZrx2g5usNMQkMfQvXO/i8Y7gbuMYSnwZeASFGEWu8dwtKCaAbwEadFmLpZrO0k+whwElgfMwWUL0Gp9m7Vsdc+93uqXEALMo5FmNIZpCCyj5OVATjSF0qGlpINlAqnAfAKNcgKlUsPm9zcqyq8FsJakMdwJfBgteqrQ/TgFsV13ue0OAvc4vdlr0PmuQeldX980KK17AQGjdo4D20f76OB7tVBd8jyUrp5KUJcsQyB52HXJw9ifYgIpwQ0EijrexiFQj6E5lQ9mfq+1bDKGTwFXAZ9xv8/XWMsRYE4EjDHssrb3fkqXweitncSbz2CEo8w8YA4wywPmADQ3umg8cqJFQAedxQco2n0GHRUAT4c2jwLMwVy/xFoSxtCBfnsRZB3W2ydzvZUXQNcg5yjbgWpN/4dAILzyT6H050dR2nscAoJVmV/l/t1P0CbirdoYhlnLAWtpM4bbgI+QnikYjQCxS6zAWnY5AJyEAGGP+/5RBGnaAgSmnlE7AVhgDE8BT/Uw9Dgny6hLznH7nFmX9OzOqLrkvUhIvr/ndc5Ex6AOuqVzR7nX1yKQfiQbSLsa9K3G8BxwHVowDUO/zaeU3wrMNob/QdJ5PRF/RqJryKede7Iows+AqEfnLbA8YA4gcxPgZyFnVEAwuSPOvuMmct5/LGTPnPWcu3hHyJdGpWQHe4QJcrZFyCEfMWA6zc93kl1WDpSqewX4AwKeTLA8CHzRWl4whre551/qQb81iRxl5mipWtQOhLXsN4Y7ULTmrQG42hhudhGmtzGIQbsUAcFBBOCV7nf5aLgQgeW7EIiMA042hkdR+jNnUe8+1CWTBCnXZve7n0akqJVHeS6rnwW7nPRzVoPAchfwKPBYLhGttbxiDB8F3g98HJ2vIhQ5D3WfeSNwljHc2EPN2EeX6/sYSVvybSUD0vKAOUDMLDaTUP0kiSLEdKe2/s3H0z60mXm3t1Kx/V1msbnPXm+38DqMMJ21oNX9EIjuh8vFXFpsPmoLyTYsuBm4B9XVfoNql77dAeS8WoAfAL8zhlJgrnvtBbJbHPVXZgVMZ0nUHjKTQNKwHIHmz0NRTBjsd6OF0VhUKx2GIqKJBNFeMarRjkMpwXGoXeJhRK6JdOIZdckLULYj17rkywR1yagabr+aq0XXomO4CjFyQcB+HDoOL1vLo335XGtpNoab0ILj6wh8K9BipAQtWK5EYhLfBv4aETnn0k7iLV/DHASWB8wBYA4s1XwdFU1tXzic1uGjiHW2M2bZC8hhvcV8dvL9sLkyY2vL6wcw4QiIP6629VY8ISTaNqCIsh1JpJ1DkOIEHc924C/Ad6wlZQzz3TYbMkHBAbQ3D5hnZXznlIza7EwUKZaRLowwGniHi0A9ASVsnkX7XdQeUY8A8iwUjXrQL3PHoBaJI0wCXnGM2k1uv31d8nx3zKYiEPYp157qkuvQguMJYOtr3Noy1+3Xq64nOYZ+uxfK34gEIw7HCtHxfD8id30QLTpK0LH1LV7fBc42hv9nrfph3aJqAgK9jTl8V5RwQT4lO8AsD5jH2Fwa9hKa2c8tfJSDLCBJOUXsZD638maWUnfmTPYsq2HzPcfzZNvVlPEKb+NHjIi9ncq6Eg5ODPf8HXydjHjytajDAkw3qumdqA4cZSkkOODZxp9EpBpPpIGA5LMU+KxzyH7MF0RHlzH32V6lZ6v7jPC9NgRFLDvd53nCyiaUcg0vgmYilmY20kiDS9s+bAxLkEDAVhTdnInaTry4ezlqS5rpftNUY9iCamwXoegsW10yiVppfF1yC0G/5NGoS+ZqPh3rQXEOAVhuQMficCO1cxEx6WVjWI4WBNchpno5AtRStLD5RzTT9BvAw2jBEUPDonsaKu0tKsLM2wCzPGAee5sFJOkgQSl7OZ8vMYM93MdJLOHz1Iz6AnvLprP+7rOYU/QDLuZJbuO9/IF/4ZpRtzPx8WpWvDc8yeL1UL+Ew4wwHQCdgSKlbE5oPxrfVO/eczHwJQRk4fckETB8JNSiMQWB0CGIbF6PIwedAgocgWkL3ZmbtSiqHEkgmNCOpNnej5ywtzPIYaSXY8P+2RieRSC7CUVAJxMQmOIocjwfAWorQSQaI7e6pO+XPJp1yV7NGEag49IOrDOGU9FvAhG3trn/9xkwnZjFfOBHoMHmwHPG8I/Ap9DiqgZFm4UoXbsQ9Wj+lmCBk0s6FvIp2UFhecA8hubYsHOAvVSR5EPc3vXiW1jCcnaxdvwZNK+YQXH5Xt7Z8AgAV3Eb3+M3rBkynLFLalh7xU6nVQpvYMB0BJV3ECirRNnLSNas3b3nOOD7KN0ZFi9IotrgJ61Nc3q+D3Zpll7XGEE6rcAB+EaiAfNpgugSgrTi7Yg5G257uQSl7DPnLnaTxHPgfrtjx16MhN5PRm1J5QQtDF4OzpIeSR7TumQfzKfaV6PzcgkuPQtp49D6lNp0ad3LUPtJGuvWWvYZw1cR4/bLKMINR5vjEIu6AbWw5DrOK3NaST4lOwAtnwY4tjYeLVq6sxY3M4wOxlF86hBa2mspPq6QB751NeveMpnKWDtF7GRP+0RiiRhjllaE3vl6qF9CHwHTGGYA15IdLDvQ6KY/hMByFGofmUg6WHrZu28g+TT/HRUI4FKkk3bC5gEzGfo7qoY1yemShgFzLXT1Xt4OaWnOSrS4ytSz7UlDdhtihx5EqekE3aec+MgS9Ls86Wgl8BVEbPmotdw3kMDSLUR8OrYQgSVoEVKfsXlfI7VT0HF4KepFa0lZy8No4PQvUeTdis57IYrgJyNewoeMIZNnEGX5CHMQWB4wj61VQUQfVxtx7uJfGV75PAULh5PqiBOviNE4Zh4rr/oIf/vBZ4hVxukoGk6qKEn5zpLQu99QEaYxFBjDm1GKLNu29cCPrWV56H2lwH+jqCuTEdsG/Bq4OYPAshDdM2t7EAPwwOsBswClXjPTl4WoZjg2tH1XNOLSxX8IfaYnBM0jPTOUBpjGYIxhtDFcgZz5HUgcYQxBI76lewRj3PcUIIBdg9LF2WrAx9p8n/IIAm3lPxEd0eUMPA7czgb+0ht5yVp2olT+Z1EU3ogWJHEC4PwM8EtjWJhBCMu0KF+cjzAHmOVTssfWisiMLhMYfsLnMCQ496zf88qQT2JKLMlONxLKGDrKa0iWjiAxr5SD43ZhSCCn/HphyEIOgOmmtFyJaklRZlFa7JFw76FLuX0Jpd0yST6dKCr7jzB5yokenOj+zFT2CVu4/geqY7Ybw0aCVhRvYfbspkxyiLWscnW6K0L7WIaAdgUieDW7/asgvV9yDAF5J1yXTLiHJyb5SR3+8wtQ+ngMSnVOQPXBB6xlQw+/+7W24xHbtwAtEv9kLcuM4dyIbXMCTAdolwLP5SrV58hOf3ZyhF9EUeVot18FCNTPQYuXm12bUJSmbH681yCwPGAeW+sgnApMATfxaToYxrtmfJfVl1xJqmAIJeMTHHi8hFS8hFiyjWSroXNfEcWTmkgWjuTQ+AqCloFRxvSP5NgxtqyA6RzbQiRNV5jl/U0oBRuVDr0apW+jZO/WAJ+wlkMZ75mB2gj2op7JbObPp0+n+nssCjBPJBgovDbL5z1OMCzc23DU7vB3Y1iA2kDOo2/9kqsQMWYYAsUzUETpGbVDUF3wOMSorTWGlcADvnXiWJlbvFyO0u9LgHus5WX38pGkNmciAtbv+rpP1rLVGD6LhPW/gc6RV18a4vb1C8DpxrDYWtbk8rF93Y+8HV3LA+axtQbCzfQ38QlaGM9H+A+Gr2tjFTGwCSpOa2P37eU0PFdN1bzt7LyzhuKx7ZRMSBLfGqdlOGglexLwHWC1I3ysQKOIBuONFwmYLpV6GUGDepStA/4YNfXCGE5GDq2CLLJ31naxK8PmW0mW9HI8u0WY7t9M4C5Eda7tCFwjx0VZizWGdUjOz9eqS9G5nkvAeu2tX3IfSlf+AXgS1y/pFJAuQIza2Uj6bpj7HTH3neegiO4ZYKYTKn8424Dlo2lusfReBORNwK3WpvVZHhZgGkMJGrl29+G2yFhLhzGsQCzi+QS9rGEh94uB44zhe8DtoaxCFOknH2EOMMsD5rG1bchZxlnDcPbwJgydfJ9b9fKnDBOuXMewyw0TPpVk+60j2H7TbEomtDDhM7sxiRJShXCg1t/gnUiBZBTB5Is1rods5bFwcEdgnkRRagwxJxgwEfVWZiNRJIH7geejQM29/6dkl737grUsjXjfCBTBd0JXJJPNwqlPcFGetRwwhv0E4gPVbtthSF6vJ4H0GgRoZ6Ga5xAEuOG0arZ+yc3omNyLWLhpYOCIPHcaw9OoF3Mdinzno2jVt6JUI0A5EQH9PNe+8vhr1V7iwPJClPa0wB0ZYAnRmqy5AM/5SMJuy5HtJdPRQvjLCNQ/hY5XWMh9GvBVJK33DZfqzmvJDgLLA+YxNHu9bTeLjeS8ZrGbG7i820YvVixg787ZFE8cRtWNI0kVllHQuo+OoeMp3Rtn5/wOksV+6zADstI9apHz2+n6AVdwuDMHX0NzANmGHE2piwzPIftU+r3AXY6I0c0cmeMmepa9uyvLZ/tWkvCQ6GyWLSULijI9YHoN4CqITs+5uuTJqCl+PHK2fhqIZ+OCzrtPuTYhItCTKJrMqV/SWrYZwy+Qw9+EdFlPQ33Cpe77ClBt8wpEpBqHmvWfAJ49moIZDiwvRn2Ww1F99c8Rm/aZPONELmbhei6PYB99/Rd03J92i4rrEJGoEmWUStD5fxuaKvPfRJcW8hHmALM8YB57W4NYfsVEyeLN+sMqnv7XqRjbQFFzA50lQ4mlEsQ6SylsseyZ005A6ohyWGWo/jYFtU/UAm9yJJQViPHZL9NAjoJ5Pdl/Imjuj7IXgXuzTY4wmnr/DeS0omTv/oiTvcvy3gXuz57IPt6ypWRBgHmS28azT6sI1S+dnN8slHY+F523kQQkknDqzhN42pGqzTJUf1tqbd8HiLuofJ0xrEeLrDqC4dVTCAhSRShquoZAK9eLu7+UpT/1sM2B5ZuAUxFYrkW/MbMnFfqYknX10MvQfMzMgd99Na/ju8uL5lvNPv0IktX7CKoXh6PNWcC3UMq8JxZt3gaA5QHzGJu93h4wi819ZNOSLW3opGb5SnacuBCAwrZGCpoNlQcP8eI/7aS12qvTlKGpDJnjpLz5mtlEVKsbglJDncbwCgLP9X2ZZPEaWCWKsFZA2tQOb23An63tNl6ry5yz/QTRsnediNDyrz04y7koItiWI9klMyUbvsc2ue8NiyRYIGUM01Fa8C10ny8Zjj6SBEpCh1Bk/QrqP/zf/pCoc4C3zJF8TkXR5BQU4Y8nWHQUo4h9Ilr4TQQWGcMDKP3bH7MuPXP1ZAKR+iEQtAhlWF9rmItQO8jKw9/LLoucfWktTcbwA8TYvg4dUy/kXkpQRgmn1vM1zAFoecAcAGavt1vMYvNXgmkl+wi3mxz3p1fZM/s4UgXllO0pw5piXvynFvYc/wJy5uNRFLIM3XR+yHBUrS+G6mBj3Pdsde+ZC7Qaw2oEUFuOFVnIRXWXEPRIRqWrtiKCRlSUEbaLEDsxm+zdh3tpIehJNzbKsqZknYrPDhRVgKKRFJqQMhql6UoJQNIPFE4RiA60I7WfVxB47HevDwUuM4Z7+uu8uRTrk8bwIqqf1hNEnDWkM2oXonTuy2hhttq1okQRqHIyB5ZvRXXTBBLAfxs6d6uzvC1nwDSGKkSmyuy3PVzLOp3Eff6LxvABNDLs/ege9NJ6nmRlM/6ftwFkecAcIOZA8060YvfN6Z1AksK2ODP+spO6M45n+0m72XxeksZxM5GTbETtAU+jVfep7n3bCcYQ1SCnFjaDHPQIFKlsRdHKie5xyDH+XlOmrdGQ4isR6PsUcxgwLWq1eKy31J8xzAR+SM+yd1mly4xhHFpcRA2JzmY9RZigLMA0BJBDkTP3ogFFpKd0fbYhgc5zHUpH7gZuQ2AeVjaaj87hEznua07maqD3GQ2wPh9dK7NQdFZFOqP2DKRI9CwwwxiWAQ/1VSUoJE93Avr9t6NruWsySZa35gSYITB+qj/IcMYwHJUNWiH7IsGRv76FztFX0EKjHN2rEGRAKhAjOdbfKe68Hb7lAXMAmb3eHgCeM4vNMlTr8JT0dsYse5RbH7yE9spRKKIErfa9fNd2a3nSGJ5BgHs6cjB17uEnZIwiuDm9VSAn52/2nQTO7wxgjwfPo8W0NcEUkIsJrstMwDyEospemYxO9u5n6Fhlk717uJeP8WSfZX0gtGRGmPFQXfJyFCHNImj/8DVJn2ZtQ+ehBYFrDKU7d7jnvdWjFO+HSa/vXmAM+6zNGoEdtrlzf3eIUfsqAumTEPh74B+OMgQLEaDPNYbn0CInqmk/zRxYvs19didwm7VsMoYL3CbZ0rGQO0t2HgKqZ3vbnxzNp2M39AZwbvH5lDG8DykBvYeg/glBnfjDKF3//YEkS/hGtjxgDkCz19sO6K6qYr7KvYgx6aPFYcg57cdJ4rka5EvG8DIC1NMR0acZETQ2olRtDYriwtFbKUorTUYRaj0SVxiJIovzjWEbijpX9hfT1hjKkIM8LuOlMGCuQWouvRIz3Of9D9ll735FL2k41+/pxb1zTcdCeoQ4HHg3cvy1BMxlX0u1oW2b0Dnah9Ktf0CAdFnEd7QAh1wf5W3IsYY1Zt9uDAesZXsf9jtnc7XcW41hKgLOVYhROxulkz2jdjRaJOxAC8ATjOFJ4OkeCFox4O3o2HcgsNxsMiaT9LB7vUaY7txejPog+6tm35dh0QBYy15juB54DLgFkaf8tWrQQuhaRKj6OmIi59O0x9DygDmIzFo2GsMGlKbyNhX1fe3N2NaiVO16YxiNgHMucigH3eNV5NRHodSsj44KkezYBBTlbCUQEhjvHpf0B9PWGKagCSNDI17uRM7uZeDOXJyFYz1+CZFnokg+jwDX5RAxerDdkCvj1EXJo1AEOZdA7SWsBZspLNCBQGA9Sjvej1KOSWO6pPgybYc/FlbTM+4E3kcAFoXA1cZwc4RiUb+ZtWxw18A8lMWYhto+pqIsho+UJgJXoZrxOOAkY3gMeDFDsjCOroU56Lj82touJSQvtL66F2JTLm0lF7vPyRRpPywzpos17O+5nM1Fow8aw73oHPoZpKDrrxJlef4P+IUx/PhontO89Wx5wBx89gC6sbz5VGtW0XXXm/h7Y3gI1ThPRGBiUUSzj6A5vYbA0fvp9WGCkCfZxJCDnAYkMpi2vTI1nXM8FznYbHT6nah2t6MPK+v3IFJFlOzdauCfe3M4Dvh8OrbXVhLX43kCqr2egZxnWKPV70eY4WrROfN1yWes5ZaMjx6T5SvT2LouXflX0qPRoQg0b8kWzfWHufOy3JHFTkYpfc+onUAAAMUoChuPorAJwGnG8CD6/TEkSjEbLSB+bS1boet8+Gi/p3Qs9BJhGsNkBOg/7ONP7clq0f2z9QhEHNrQ7y4kGLeWIFhsTUIi76caw2JUHslHm6+x5QFz8FkjSsGGBwxPhN5rQ6437H4AoIUrAAAgAElEQVS3ul+I0mieSZtEZJLdRDNtq92jEQHnHoKVewGKCuaQA9PWsRPfSVCLjbLnEcB9gNxHfJ0C3Eh32bskPcveZVp4SHRkis3VJWcjkPLtFkMJxAU8SIbrkkkCwtF+4Dn3GsBYYzRwOvQ12QCzW6rVWpa6tGVYd3YMSs/mFJ0fibn9fsaRfM50++gZtaMJIusyFC1ORZmDSQgwi9E114bAMnye/GQSr1zUk2UFTCcs8FZC81D7yXw6NtfZl1Hma9m+pcQLUZSiRUcROgbno0XqT4zhlwNdgOT1ZnnAHHw2EjmNUaTPMTwFqbv0as5ZPONYj7NRVBQGYM+yDTNtRyEwGOre04aiiR2kT1wpJZ1puxKB505Xc5uHnFYx0daKdGDXOuYh5ACYRrJ3PyH9uEDQr/h5a7POsMy0rlaSMIHD1demIu3VtxDUJTN1XA06Jgm0kNmO6pLNKEI/hDIDYdWgQgQMm913xck+hSVbP+gDCOhnhJ6bhZzsQ5Hv6GdzSkgPGsMSJAhf5/bhdOTwfStKOQL3OQQp/zrgxohFjU/H5hJV9RRhngnstTar0H2fzUW/fa5fRljmfh8CfovaeWrRNeaF3Kci6b0zjOGr1kbrEOet/y0PmIPPRiBHW4/SWiBnc6YxvNiXlJCrH61woDYZObXpGZu1kZ1pO410glDmqr3CfebpQIMxlLvnshF3NqMJIz5lmutMzN5k776PBLF7NSM5uuNwQ6KdQxyDovF3Iucf1S/pdVx9bbQV1YnvQ+m//UhAAQLBhPDwaJAj3Oz+P4Lo+7MNontPnZzg3UgZKQy2ZxnDXmt71cHtN3PZjHsca/tCVNs7HqW6fQbAM2qr0GJiP/Aet5B7xFoa3cJhjvvYTN3YKIsETBd9nwL8+PB/VaTVoN/TiOr9h2tRZYlH0XX9/6FFWhWKNIsJtH1nGsP/Il3dgarY9bqxPGAOPhvp/t2CHHkBAoUStBq9r68f6Fbtm4BNrh1jEXJu8YxNM5m2PvKcSDpBKDNNVI6clQe+Q27bPYjckULO4ckMSn67e604Il0JdBEu/pPDkL3LYicip7sJRZrvROlrP1+yjOh+Sa/j2uj+fdH9+6SLls8Mfcd6lL7LBMxagkgwa/2ypyjLavbm7UiGLdx7e7kxNIRINK+JWcsu4DdG03Mugq5a5zyCVhTQcb3IPT8BmO/aV3a713aTGyBlayu5DLW19Ddhpkvd5wjT3lHzMK21vGoM1yJ2/LXoXvPRZrn7/q+jRdGN1rLpCPYhb71YHjAHn3nATCDQnEoQiZ1iDM/loH6T1axlN/BHY3gYgdzJdO/bhIBpux6tfH2bymgUKWxF7N3xCAjCDqHCPaahyPRXaGhvGqi5FG4LcgylkD7RwwSyd+8hmhH7ApK9600w3X9eKUoXL0RMyhEENcnM+ZK+LtmMHPnLSMfVoBS3n0zi77EwOK6FyF7SscZQ6lpnxmbZzV7l+Vxz/O2o/uu/P46it5uPVi8tgFlsiglqjkVoQdTADWzlBvszlM7fio7fHBQp+VS2T0tfiTIa4xDot6NxYrkAUlSEOQsdh1y0gPtq/ZGOhR76R9318BO36LgOpZYrCITcRyJ28Vxj+C9U0jhqQvhvZMsD5uCzEaH/+4kRPqKLo3rV74/0S6zGTT1kNIniBBR1DovaFIHDftKZtiegCCJB94jT2x6UglyEes3WIRZkmGnrAbMMuo3Auhj4PNGyd5uBj/Qie+drhVPRcXs3cuKeqZg5X7KDQFRgP0G/5JNAvQP4091Hdyn9GMNQAoJTCljnZPLC475w3zMZ9ZzmxJDNZlbTR/6IImRvZcA1xvB/uS4icjWz2AxDwDQH+ZUOdB68glGCG8xKNp6/gVsfOogWDB2oHeoURP4JM2qnoWPmSWaL3PFa1QtwZgJmISoJfK+/FXNcv+949DujBpX3xXqdh2ktK43hQyh78E/o3g8Luc9B83DPMoZv91fbTN4CywPmIDLHzKwIPZVCN2q4Jni8MTxjcxMK79VcS8JzjsThyRvjsmzumbYJlLL1Gqee4djknkuilGR4FFcBij5mA20hpq3/bZmDpGeikVzZZO8+lU32LlSXXIQAZSZaiAwj6B+E7vMlDyIg/jt0CYxnNr57h+1X+AWkR5dbQuIL4XFf3mpdi85ooi1nMQJrWeFqd+eEnh4JXGkMt/UXgJjFZhKBDvJeiBQDiNNRNp/GMR9n3DMN1C9aC1yP6sUbCBi1vsxgCOrElQSzXl8x0qjNlnrMBMxpKOKKHPt2hDbN7efmfmjdyWkepqvrfpdAWu8U0oXca9CggQXG8E00hWUgDVQY1JYHzMFlIyKeewWt1MMkj4uM4Vf92UrgnOsqB2QTEXBmKvMYlH71ZKRG94ijKHAUIqw8Bz2mBUtQWnSh+zwDTDKGzS6Kq6Fn2buvEyF758hBCxFInohAKVyXDEvyheuS9QTzJVf3ojbk96cz9HcYMMOzL/24r7DVoig9SnC+A/o8tutRdN3MCT03DQHc3/v4Wd3MgWX0pJ2wtVUallw7h0RJKSfdXM7p//0Le+fvtgPbjeEF1JNbh66pM9w+h6einIKO4wvAVCOpxgdcjTRsYcAcjsDkmSP9nVmsP9pJslnWaSXuvl5iJOT+z8B70bVcio5ZBRLe+D7wO2P4riu15O0ILQ+Yg8tGRjy3B/Usvjf0XC1asfdJdSQXczfrFmBLqO9vPkG7SZRiTxJFmKtQvW+E266B7mnWwIoOxaleN4zig2Mp3f9ZihsvNQvMKgreczmJ0myyd78kJHsX6pd8G4q0xhFdl/TiBq1uv3ah6S93o9mLudb9MsXXS9ECw1u4BcCP+wpHF5ltIWHri4AD0FUHvgdFz+HMwKmOOXvYdT2Xhr2ETLDcTjl38GkOcQIFHOK4ot9Q84k4bcNGUNDWyJSHnmRY3almsdlir7cHXPr/zyFG7Sbk8M9E58hP8KhErSoL0LCBmcawFNU3/fi3WOjf6QjM+p096lqMprk/+wMwo0g/vWnSNhjDjWgx92WC+7AQXd9jUer2RLfd4/2dln6jWR4wB5dFRZh7UEprIwJKbxcaw4aj2bDutDD/4vbhw0STg0CR0VqC6MiLLHjyTwJC7TCVdSVMenQEY5aOonPICFqryilsHU7JgeNoqb6C42+dzO55MfbOgrYqCEg+D6M0nzWGGQT9klOI7pcM1yUL3L/PIYm6p3B1yT4eFg/APkU3jsAZbg859vC4r0yCz/wsn31YaXZr6TSG36LaVzil/2Zj2G9td93iHG0W6VNVZL/j48RI8Cnex4ulM3i68zpoeJDq4u0s+MVDDKtrRtmG49Dx9vu5F/itY8d+jOD68OQf34pSjWZknogWI8c7sH2C4FhPJhD5OBogMR5dS/ts/wij5yoan2YOAB91mZ/PAu9CC2s/NmwYQTvNr43hh0eT9PV6tzxgDi6LjDBdFPEg8NHQ86NRa8hR671z0dtbUSvANlRfG00wVR7ksNZCZI3HU/y9s2hkwlOjmfvb40jFLS2jmmmtKqFj6FAKW5I0jhtJS/VESMUZtcpQsxzWX2I5OMXXcr8JvAmJd89CjjVbv2QbIiMdQjXPRgSS3zzCmk9mhDmeoB1iTffN2Uh3wJxDtNThYdelXe3rNhRx+KkYMeAqY/iZtdmlFaPMsWHnkKFhTAPFNHA6b+eTFI9MUfTRsQy9Yzu7nhzHBU2/omqzJ4DtA+aZxWaZGzYQ3tc6Y6hDrTkHUNTkSwBe8rAAHbcrESloHAJQP7llNIFo/tEAzMhh0UdgUezenM1adhvDV9Douy+irMoQgmhzAkrfnmoMX0WiHHlpvT5aHjAHl0VFmHsBrGW7q+vMC712vjGsykXbta9mDONRLbAq9HQKgeYO93wj5ERv14077pnxLLhlMp1lW0gWJ0gVjMKktO+JkmG0V07HxgohZmiqgXgbzPgrvPrmDg5MBbgTraxjqO7VU79kPXIuf0SiBCOBv/QDQSJM+okhx+0BM0phZgOk9WiCIuJ+BUyQprATNngPwSKlGDFnb+6jDup45D/Sj9daxmFIUTtmPy986ALaK6oYUr2HphdiVCXDbOmke/8EMibzGMNIRP7ZBvwXiri3ogyKV77xjNoi9/c49zkHUe1yDcG1dzQAs7/aSbyFNYe99TX9ngT+bgzLEXv8crSA8PdCFbrWbgF+7s559pJI3rpZHjAHiTkdzExGJaSv8B9GK0ufFqxE6Zin+3E/fJ/h+WRfFe8Dfmot9cYwAdU5Z5FdZF1p2ONvm8qhCa0kSqsxySQV2zazv6GZDS+cQeu2CkwhlJ9uGfVhMHFIlkDTKJh2X5yVV0+iraqQ9LpmigAkmxEr9yXgLjQpo8FoSPRIt02uQ6J7snBK1vci+mMS1eKyFUWj/l70EXE56frAnVne3yezVixT1JLjrQp4tyOKJdw5jqPopIBASD74+/IPLmDE2lE015SQLCwgVRgnVRCnfs88Yo/BQ9/4PJ2lI0kVDiU2fAvJZBSJqZPoViW/6Fvt+glfcCCwiECj9iwUYfrMQQm6xiyBgEQpiuD7NZJy5LEadI57nc2ao/W5hpnN3H33byhF/a8oGg5L600G/g2J33/VWlYe7k6/0SwPmIPH/ASRsDWG++kcADxPugD32cawrBdmZ07m+gnfgSKgbPYyIXFrq4kTW50u7GmoP7O785z06AhScUuiVBGLjcc5NGEKq/5yAfEJxUz9eoJkc4xt18U48HeoukyfnipJkSospHptEfVdP9vruHYiINwJ/A0ReJZlpKK8buxL/RSJhyPMEaG/10SlwBxAeQEKCEhTVaQD5k4g5tLg6eAV/XdPrxWixZSfshFD5+Zc1wtbgJx1p3skuv1/34wpFLaOoLWqkFgiSTyRINaZJFk7htRDRbRWn4AlhrEJOipqiZdtpXsAmyRDU9iBdZd2bOg4dQCPOUbtOWihMR0t3kaFfkcMgfDxBJmOq4zhj7b/5oP66HJDP7Zs9DrHsy/mFhp3OVLUlxE5qwod72LkTy4EZhjDTcCv+phheENaHjAHj2VjyGaaFxrwBBwvmXf/kXy5I9FcQXZd1w6U0owcv2Q1U/JvxvAoaqU4FS/dVnQozpilo2gZFaTsrDF0llbS0V7NiHMNpjhGQTEMORE66vSJYLHEaK6GmuWWnQs7SRb7lpAGxBLegOqoFqWoznCp6xXIg89139iXIdH+mPhaWhiQfCvDSERIsSgaKTKGRUQD2yQUVcXctr4ndDwBCHhyUCfRQBYNbHq0RWy7BMnFjSUYOZZEjMsnemNTmsVfOgmBkq7BVAyWfvRk7Im12B9DR32KwnEGa+K01ZdRNK+UxLIYBR3hz43TncE6wf32yMkkVtM5/mYMzyJS12aUVTmNIAPjI87J7ni+BZhgDC8CD/UD6eVotJPk1IfZV7Ma/fZJJMrxGbTYDYsdTEP9nKcbw9ez9S7nTZYHzMFjUYDZLUVnLS1GU+0vDD19ijE8fziSeS4VfBECuGxWD9xtcxi07Faxjzsm5PHA6YxeNp1YIkaq0JIsLKGzrIpEyTBsrICqy1I0PllI2fGQbILmpVD9DwAWY5MYmwCTpKANhm08yL5ZG1BdaR9BO0Imw3ImquOVoFX3WuAE91v7ErH5Gl4YoOag+lvcfXaCgJlbGdq2LfT/A8ixpwjIUgmUPk645/9gc5+2kpMZw48Ruzmc6j8X1Vx7m+jRgE83N0wewsvvO4eDk06gqKCRofMb2fvrUkZ/OkHbpgKalhYy+boyXhk/lTl3hx1yId2F5H06tsfJJO5a+527ji5C98KZCHC9TKIfJ3YhutamIPm451CLRZ9HY7lrxLPRjxZg+hFf/VJ7ddmeW93v/gpqzRlGIOQ+ApH3ZhvD/wB32byQe6TlAXPwWLaWkih7jkABBHSez0ON9zmbI19cSfYxUxYxSx/pa2rKpT9fNIZlzP/Vu+gYOonmEVNJFWqWZGfpaFKFFZQcH+fAQ7D+3UAKKs6H8lMtxrohzDZJvPMgxY27Gb6hjn2zWlHENpn0yCn8r///NOQ0fAp3HYpKm8kxgst06sZwJYpa9yKyShL4nbX8NduxcJGqF6ePEzCKiwmUjvorndhlbnF1G+ktQQZ4pzH8vBe1qG2kYknWXj6T+lPn01lWSXHjDlqqhzDh/Rup++kU1r+/gvhQqPl4kuLpxWwc9lam3/s9ipq9ZF4CpVb1xZIp9BF/b4Oi/W+od7q505Em8SXo3I8kqG8WoEXM29BxHIcWSE+iwd190V2d7D53x2tAmOlXspKrX38MaQx/DGVAfLQ5FC0kb0TSev9pbb/VZ183lgfMwWM5RZjQ1Xf3CHIQ3rxkXq8SYc6BL0QtGlFkDVB97ffWHp6GpvuO8cBCti06n6oNRaQKh9BRPplUXK0D1hrqF0PlJTDhWxbbZtj5Pdj78wRjr9lNYXM9Rc17iXe0UHyomLJ9+5Gj3YyAqgqBZ+bUFdxro1GktwKB/xQUobzqntuQa12zS3T81O9Op61yAh1DJ7Nvegn7jmsjWdJjtObagjahtojw8a5CEViC7IujIzLXS3snEr7wdbRC4OoeWZQ32ApO+d5kRr80nnhnO7Q10jFkOCaVpCK5kbkf3sSh8WeQLBgKsUJSqTLaqqaz6l1zOOEXy1GkvyKjpWQacuC7IxR8erLzkXjHnwkIXFUIEKoIdFqL0PVwDSIDjUcaxo+gGnYuANXf7STe+o3005O5RdJNKPV+PWrX8dJ6fvbtlcA8Y/gOKrP0O8t+sFoeMAeBOVWR6oiXenKiLyPyzyj/MSg19etevqsU1bZm97DZOqTPeTgprSEo8jobEV1Gs2fWyZjUcNoqPbApPZVqtCT2GKouTRIvBApSDDurnT2/KqDyjCcwoegu3llEZ4lnXS5wz1p0jJIEw6+9edWbHaTXigoQ23IW0B7StN0c5VC7iY6PXTKZg5PGgClmxNoqUn9LcvaNNWZx0z57ve0pJb4RpUPDVoVUb3YdTT1Qa9loDH9DaTlvFQg0bwlHYC4KPAM4jZ0LHmLCM/+ASZUDSVKFpZQcqCPeKSJaUeNm2iumkTJxiBWQKiyn7oxLmXnPJkoPxKHb4GNP9skpunT7Mw4d+x9ZzQPdiVpLxqM6aBWB+EFYam8mAtRX0CJpketlXpctFWz6b1h05MfTvY55VFR53O9bbgwfRL3bH0THp4Qg2pwH/DeKNv9ff2lTD3bLA+bgsGF0P1e+8T7SnPN4APiH0NPTjKE2W1RoDBNRb2Vllo9NIvLQ831penaAvwAB9kJUM5uInzHZPDJGLJQVM6Qg1UlJ4T4Kq2s4eHcTw68ugkPNHLyvmJLx7XQOqaKoOaiZxjriNI3OnMBhCBYM/u+k+32jUWq1J0dQjAhUJwBNRoO2VyDFHhspOt48ZhqHJhYR62ihfVgbBc2NxDrnAnPNYnOfvd5mS3NtRKAetqHovB91Z2UtL7gUfLhWPRZ4uzH8zkXBY1HWohH4CXVnn0Wy8BALbh1N0+gmiuJ7iCWDiLG0oY5kYTmdZeOwBUNIxctIFk6h7qxzOO7PN4YXEI7967WJcxkU7a+ry5DAuGd4xhDQ1KHjNhFlHCajRVoNgdLTEHRdTkP14snAGmO431q2RXzlCATALfR/ijxyHmY/f0f6F1gOGY0DewKNDTsJXYNeyH00msO50EnrPfRGl9bLA+bgsMj6ZQ6gtZ7AWXi7yBh+Gn6vczxnI7p+tl7JvYgMkNPUB9eCcjyKmk5CjqYUpcSqCK49y6EJllQcYp0pDE0UNW6ifPcrYC1TPjSLbb+ZxL6/lUCshPIxO5h81TqSRWXYlgMYmyLWaUgVpNhxYm/DgT0JqNr9znaUwutAqc+ealnliIl5GrDfzP7Rfg4Ufpq9nVNIMoQidjKfW6mIxUgUV1Dc3qKmmttH8o32n3AmX+VC3mIWm79GgaZrCco89gYtll6r1f19aDEzPfTcbCSzCAKX+xCgLQJOon7RQWAd53wjxr6pk2kZ1UmqUNdWLNFBzcr72X7iu0nZEsr2xyloK+eB/5zB7X86wPVp3+1nVm4Oywf2YqehRWMYYMPA04lY0t9H13YdwcQdn6qNoYXJGShSXQJMN4aXgAczZO+62LFHATiy9ygfRXN+4DljeB/wKbTAriGQ1qtAi9wfAXcYw//YXkbmvZ4tD5iDw3JtKUkzFxU8gDREvY1BxIoV0NWE/Q4EZNnsReBe28MII5fKnYzSrKch5+NVgMYT3IRhsXQ9kiVtNEzbSe0DdbQN301BazPD129k0uMbeeHaFCM/vZa2ihrah9VSsfVZjLXQAIVNB6l9aCnt5TNYd1k7neVeXacnMwTtGWsRUFYQECCaEQP0INlW+JV1Yxn30iUcmFfG/Pl/Y2LjSjbfW82Sps9zQsPvSRWUApb2bXEOrqihgAZSdCKR8kvMYnNnZnrWgWVUraiK1wgwXVbiLuBDBJH5MOBzaJzZj6yl2RhmExY+qF/0JC/943riHZ9k7JIaMZ6LksTbG5l7x6t0luyhedQQdp5Qyt6ZhbRVTUKR6q2hr+/We9mTGcMwxIr9WcbCMer8N1jL70OM2lcR+J+Izr0XavC9iQtQPXuOY5Y+Zi1NHN3pJK9JDTObWct+Y/gaija/jM5HONoch/zIScbwdeCpN6K0Xh4wB4dllcTrzRyLcCUB+xDgAmNYgwgMl5NdNL0N+LO13RVwjOkiUExxj6kIiGrQTVbu/vbRZCZtPonaF5YCy9k/rZCTbqqmcusKxr5QRyzlt9T7CtsO0dmZnoLuLK9kf+0UFvx6PdPvv5Mln2wjAO2pRCsjjUDkj2aCloZD7uEjutEoEmlC4LmfcNf9pEdHEC9LUPvu5UAhuziB0pMshV9vZm/zXCqdZu3W/xvLhAtfYsvdcxz2trvfnSY67qwCIsUlhsFrN5rJWtod6/TjqI5VjQBiCDDcCVC8I/SWLcAfWX3VIqCetVfsZMzSCsp3llD96mbK9j/L/qltrH7X50mWjEfHvgL4gDH83Vr2uGzEFHRsVve2j25x8RbEcN2f8XzWfkaXHfmVMUxFwLgKpaDnIIZyDF2rNQSM2omIUfs8aidJwmGL1ff4syKee03Tny5qftgYViEloLejhZMXy6hEi+GbgV8aw48Pp1VtMFseMAeHHVaEGbKHEQB4Us1w4F/oXjML21bUW3kAuvrPxiOnMYWARFGDAKYcgcooRKIoJ53I4CPKZkSYeMxtvxt4kYOTljPn7pHIERbT1dDukoGxjjaMTTJ0x1aaRo8HoKA1Tmf5Ah654QH76PU+xbfWPTCGKoJRZ7VoYeCFzqNqUBYBZANB6rbGvbcT2E9h00FGLxtDy8j09G/LwaF0tAyncH4bieI4Ox8fS8y2U3PydgFml2UTHR+DADxz3JdFYJVrmrI/bCSKKlIoRZlA184H3es+GtoH3OHUinROOsuT1J3jhQEeto9/Zam5gVUoIq1E1145OqZXA99DizmDCDe5KFLNcZ+VKfkYqZaTGQlZywZj2IgWBF7k/UxUy/RZkEIElu9Ci4K5bt+fIXqQwJGaZ/J27SavMWB2fbFllzF8EWktfx75Dj/AoAwdl88gab2vIZnJN0S0mQfMAW5u1XzYESZ0pVteIFDXmY1W+s/RPQ1o0Y3yODDGGOYhgJxIcL140kwxwTzLKe65qGiyEwHUs6iu2oFSby/iCDRu0y1msfkrAZEmqB8ZLLHOVkau2kxHWRVFTaOIJQ0v/eM66hedYgxLM1sgnKLLUmCpq9PORVFxkt7TnCm0KNnjftNIYBRVGybTUj2cpjEHiXc0UdDeiGlp55U7z6Hy5P0UTYmTaupk+8NzmP2hx/zOh7K72UTHx7jj1EQ6m7cRgcuyXvb3iM0xmN+EFka3uP3w0WQhIj9ZdN4agd+4NgVD+qxNb9sArKXNGH6IAKocXTcVwHuM4Q/0gR3rUv+XAHdGMIdzjtJCTNHVSB6xHl3D56Bz48Xdi1EqdjJBqv4TxvAQWeQOD9OOeYQZNnds/+xquV9ADOrhpAu5n4MWoze7vt2mbJ/3erE8YA58K6d7yrST7gopvdnj6KKfRbASnwhpjFmLnNYYtLIM63wWEawwUyid6lflEhtIjyZTKM25GtVFEmg1vwxYla0eaq+3W8xicydKW86joq6SVFGSVDxFQXOKWGIqc+5cx2PXWerO3s/BiW3u+68whl9nc2CuPjcORQtLEdt3MkH6Nqptx1sCAewOqtcdoKBjKlBC55CRdJSOZPOvazFlcUZ/LkWyuJLdv4lTcUmSxElzSG17ju7OMEp0fIz7t4HXGDAd4M1FQLQc1So73WsjEHHLpy1B5+bfQunQSrpnK3zK3dvTaME0DC0AhyBg+iRKRbeRW23wQmCt0yjOtKgIs0dAcz2GzxjDMnQ916Pr4RyUXfALwGK0ILzIPT8JWGsMD/RTg/9RkcY7UrOWrcbwOXQPf47gfvdC7lMQoJ5uJOTea0p9MFseMAe+RUWX+/rY1lGGapW+TuNtCgK2ISgFupn04cX7kSMbihxdB3KWC91+eXq+t5Tbpg43gBmlYF9GaZvc6q4ixDxnPjNtGauumkf5zhIKWwpoHd7BrgXbeM87fsiK956GGta9ebLRM1mOQRFBf+YSJ/31int4Ekk4fVsa9TkUNaUobNnHkL2tJOLFrL39HBJNBUy8rplUSSWYGC0roHNvjAP3ToTEGJKpAp7lC2znbj7A3USIjpMOmBNDzzcBtcZgjkbay5G+3oJA73Zrqc/Y5BH3ehjg96AsRZ37Oyq63BFueHdp2+8TtC6UouvqbYhQ9EBvDfKu7Wk6YmxG2WELmFsNMXjQ1SrPQyWJWeiaGkHgK4egTM0slK6eZjRJ5UFr+7XWfMxSspnmFrd3GMMSJK13EboewkLuFwPHuUzCr21oKMTryfKAOfDtiEk4oVUAACAASURBVOqXxjAFpdWGonrhcSgd5puUK9HKfztKN21C6d5hbtvhbh/OQgAb1umEgMDTgHrZnnPPrUepu3WH3XT/vfUJ97neCoEibrCdSKlkKuns3guNYXOWJuu5bt+3RrXGuFrti0iuL4YAzAPoBHz9N1GaIJbUb19364m0Hyhl6pfXY2JldLj+1fFfA5uwGFKYRCeb/yVF7bS/sqBwCZ0rYhS2pYmOO9KLjyoPIkcZIxhVNQRFNTm19ORiLqo8ES06nkO1yKjzdB5a9DS6fdyArr/TjGGvtbwArn6ZbpnAC1o4PYJ6fYsJev1OQk3yPe1vHPVc3tuDMz7iiR/Wcgj4ozE8g6LZV1GEPY9gVFsc3R/nowXms0iH9XngUfcZfbUBlZKNMidw8QlUe/4UytBkCrlfj6LNb1h7VMhRx9TygDnwLWdJvLA5B/Mm4FJUb/B9kEUE6bMWlJL9HQK70Sh6XICczyJUXxpGOinBr35b3fufQNGoB52XDtNpdPsZGX+3u0e1k3T7PXAtQco6jnRQfxpO+Tpw8GO8lvT2pY4tWO8eT7jodDIwlbbKU4h1jKNp7zAalk/CFFhWf3qm9jVmqPkEVJyrTzHWYlIWigvoPG0O22ph+zs6qXkpQd2Zh8wNbEOLmDGhr0+h4zgcnR/vNGvpJ8A0hmqUcYgDv8gWGRnDQtSfm0I155GkA+GlxrCfHuqXYXNp8ZtQ6nMoyniUooi6InP7DDsDLZ7W9LBNv43IcsfkNteK4ie6FCJQ8GL+BYjkdilafEwA5rv3PNXHKCtqePSAAkzoisRvMZoWcx26PiqRXylB0fjbUEvOd5F85tEgSR0TywPmwLecRdeN6RppNA9dtJkr/wSq4bWjmtxq5LQuQkBZim56P/XBS4l5C7eDvICcqG8FWAZs6ue0YZQT2YZ+115rOWgMfwKuCm0zAtXi/hx6bhwCpRZyaFvINHfDrwPWmcWXPszB8ddy6J/PZOFPnyRZVI6NFZAsriJRXIM14TS1xaTamf7jVgraC2npmErZ7q001RTw0geOR3XBJuRoahAgdLh/h0MaiamWIxwE7iLnRQh8HkeKTZFO2bVehKXyVqHo8IMEercxNDZqKN2Zo1ERJigF/hfgnwhqYcXAp4zh41FpWQfwpwE/6eX66teZks72okXhAfdvLRI+mIHuF8+oHYc0WLei6/MkY3gMeCFHLdZMluyANmtZYwwfQdfDR5C/CEebs4FvImm9b2apOQ86ywPmwLesEaaLfCYS9EKOQY53BsHoqYPoZm9AztmDxmWI9TgURRolyBkMJXs7yFoUTbYg0HwRWJ5jK8DhWJS25lZ0c74EYC2rjeYcLgxtd6IxbAgREHx0ueyIhaRvsB2c/u1yhm4vhJicQGdpJS0jPBkqls7VsCninYdIxUsxBZ0YZrLl7FV0lvv0ZzlKF/uFUROK3EtJHyA9yRgKDnf/jWE0WkS1AjfbHmZCGkMNWoR4ANqJG/nkovp3hzavRsD/IoFSUgtEf74T0/g5qnlVI7AsQUB+Gkq1h/fFIOB+PAcFoKOR1pzm/n0O+C2KJLcRMGonkc6onYrA81UEnKc5Ru3KXsB+UESYYbOWJmP4AeIrXIdqu5lC7u9Ggx++gwbLD2oh9zxgDmBzEWOYfehnO841hsnoxvS9lXEEeEPQDd2AIpTwTdeIIsvj0cU8Bd3UQ4i+YX07yNNodd1O0A6y4zXovcoWYS7MeP5e5LjCTNfLjKGeYEal5TCGREfY2ax6Tzmnf8dQ0BonUZokVVBMLNGCSbW7QCHuBBcsmJhAM3GIwuYUJlVE3dljEJlqo9uv8Dkud48RiFhSjdLdDehcbe7Lzrr+2XPQMXsQpcuznjdXT72GgJR0CLjNkaR8ZPEgwbzVCgTuc1CN0gL1PX2HtWwxGiQ+C1+XVkT9SWO6CFne5rt9eT6Hn3s0Isyu6SSuxvu8MbyMosztCCDPRotVz6gtRYugWmAlTuTdMWqjp/sUtMSp2GYoOQDxdoHvnDvHm8U/2JbRrzugzJ3nF43h/ag88n50LLy03lB0Dr+Los3/ylVecyBaHjAHto1CF1wVqiNWItDyqTqLUl8HkcPaCN2IG0Xuc5qgq1/uHLRy9o7aA5OfF3kQpeCeIkjjLgNWv8b1iCjA3AlUGUNxyIl3GMPdSNLNLyBKkVLJq+g6f7WnqCqnnTEcB5zHwYltLL9mAwtunUHT6CaaR4pBGks0kyqMY01cAvI2SbzzEIWteyhstpTtHcqaty+jZWQNipIrUKo3SmmpFR17X38G+KKR1OEGNHqsx3mMjlV6OUrh/ziH7YsQWHrx/XbUa5lZj34KAfoCgtrjMAQur5A9HRu2DSjzYVBqtsJ93rlIr9azuy90+5AL8PW5raQnczyAqe7Prukk7rp7xLFGz0Vs4RmolOHZ435xewqajLIUsZ1XIkbwTghNuzn1m2NoL4+RLDbYuKWosZhp950JzDCLzUpgbS/Tbo6pufLIt1AG6itogRaW1huDwPQEY/hPNEN3QEfQUZYHzAFkLv2kyK9073TGvXohhS1zKGiPkShO0TIiwf7pW0iUPYvYrFtQWvVCgvoiyAkNx08DUSp1htu2mu7tIP69+4A/oSi0CUUMy46h2HI3wLSWpNEIp3GEekitZbtLfV0c2n4ycsIHOMLo0vUjBpJwXnR89l1zKNtTTkf5bmy8mFR8CMQsWKfYk4gxbHOSkgMNLL/meXad8AQ63u9CJKvTkFPJJIh41Z+wjUX16Xlun3Yj4NkIbPGLGaPJHxegCO7vufTGufrmlQQEpBQSB+g2l9KlVf+CgPyU0Eu+Thw16SP8XSXot7+Ezk8RQZT5CWN4yjXBXwKsyMJ6jrL+jjAnoOh2T5QEnNvHvzgCzAXonpyHSgCeKBdDC5BzUaT1NDDTGF7gmresZwaLgCRNozppG26xRld9Z1mS9mE7UGZhDnB8L9Nujrm5aPMpIyH3zwDvQf7MR5uV6NjchAhV37fp4vYD3vKAeQzNAeRwghrkZCrrqpn06AjGLB1FR/koOoYWEUs2U9jaStHBNqrXNzD93gMsubaJv/7oSoIaCwQ0fa/C046A5Syi20ESiKyxE6WXfMrzdwQpqGNpUREmBMSfzPTWM+h41Lq/hyMH9hhHIJjtHPzVZPZO1i86yMHJ+xi9rJip9x+ivXIojaMhWQyxhCHeDiZVxPaTDrDzhNVOZGEWmp5xP6rvXOr2OUn6tJQ9BJGlNz/uy9eBRrnHIiBpDHUIeI8jECDotb7srsM3E6QfAf7aU1uA66u8h3TCFejYl0W8JWx+Msn9yJkOQQDjySKXGilTTSJ7z2WU9Tdg5jQs2i0o7zCBuPsaVOtcgH5TDC1Sq/GM2lEvzeLgxGKWX7OUafe9jO3mii0mmULXxW507WWddjOQzDHYr0f33ZfRPTiEdCH3a9Hw7m8gTeBjLtKQi+UB8zU2Y6ggAMgphGdPjnumkhNuGUdpw24Kmx9m1/xaiI0gFYP2QmivgOHr69g57zxILmTcM9uoX9SIiEFjkNMxCEyqCOjvUe0gGxBTciQClh2IyNOORiwda7CEngFzAZkvKvL5A7oZy1BEZtCxKIS02lhuOyAweQfZlICaxpSyfsxTbDk7yehl9aQKJhBLlJAohvbKdg5ObiJZ7AUgcPtxvrXcYwy/QFGwJ/w0IKCsRE6yhHQBBS8OHxXxlyDQG4bSojOAAmO60rc9tfmcRkCMAnjCWpb2sL234aimvZDAl7QCbzWG3T3Uqua5f59Fv3MqgUMdhliXtfS9JaG/AbNPw6KdKs4taMGyBS1aTnd/ezWsAkoaxlJ841geetbSXv9mKms3Mr4guNabXzLs/tFoVu/6KWW8wlv5H2axhx6m3Qw0c+nWB026kPsIAmm9SsTW/hnwCyMh9/5oRTuqlgfMo2xG+pyTCQAy0/G2AJs46YetnPu1WZTtfoqYlWOvP3V22pYWw75Z49hy3nhMooiZfzqD9soO9s5OoAtwIt1Zrnpn0A6yBBEREogtuxa4gqApuwxdyA/1w88/UssGmFuRU+6mfmMtjcbwR+AD6FinEMP3UuAPh7EP55EeeYVtCIpyO+gsb2XrWZsRo9OfA4uAMtORzzeGZ61lpzHsQ6AzCwF7CTo/P0Q1sfMIatgx9/9MwByJnPtudH6T6DzOdQ+MYY/b1w1oQeTTt+mjuvTdD+dwXECRgmddz3O/uRFdS1cbw82Z+qKhBaNvR3oFzWCsQAA81O3zRmtzA6qQ9RtgGgn3j0TnL+eWCHc9rjWGdagEshUtCM5Ci4AiRqw2FFQbhr8XmpemsI01JIs6wMRJHILt34oz5oP7uOihz3Pf2rfyJz7PLP6dnqfdDEizlh3G8AW0OP93VM8dgrCnDGURPovYxIsR637ARpt5wOxnc+m78NirmoxNvATdJvfYzQ2mklau4ee8iQPMI0k5Rexi/MpN1Jy8k/2rq6l7aAGte6sxJkXZ1CbGfWgXZSOh9oFRNI0ppa2qmIx+BgKlmLXogm1D6dcXUW2o1e3zSOSYvZ3m2IrHesUXCZgOFDuRg+1WA7GWV4zhoHv/HpR2nm8M663Nbd4idIHJ2T1sUkewAFpD0MrjJ44Y992Zg6kNcIkx3IkAcB8ihcxBKbyFyFm/iNK1WwlqYXF0DkcjYJqBHM9K6PF8jXSPU1H6dqvb/lR0XVj3e+7pg8PyggX7kbLT9NA+VCLQ/IW1ab8/PJmkDcAYfoQWDOUE47/mGsOYPtQvoX/bSnx0ueFwsi0uwlpqDCtQBK9WlILW86hZMYHmi+IUFhja1sdIdA4hVViKxdD0jKFoAgw7q5khD7VzFbfxPX7DMsZxAvVkn3YzYM21kvzRSK/3S2jxOpygdl2F/M804MfG8Etrac72ecfS8oB5hGZM1xggD5A+DejNi45vRAC5I5MdZhYzi04sJezi7dzGDPbwlxHn8PI9n6Z8/N9oKxhD1eUw/qQ9FCT2se2Xk6n7xXQmfBWG7DJUr4X6Rd7J+XaQekQw2IQc4gqk5xrlgJ5BKTnPmi1EJIU/HdnROWLLFmFCUMfsBpiO3egjyzBj863GsC0XtqwxjEKRdzZ7ATl5bysRSSRBAJgxlIJaTXdx8imo9uitFQHkDOjSd11BEKmmCHobb0fA8w5EzGqn97ph2OJopb8QOaxOdI3eT46jxFyqOiyMUe/2IQza44C3GcPdIRCOmkzyGFowVCJQ96Pk3gt8pw+/qz9TsjnVL3szF8k/bgxLgbMZ+3wrFVsX0TJiMsZW4n2wBC+gYysUT9axiiUtVbRTxE7qmOQAM9u0mwFv1lJnDJ9BTNrPEtS7vZB7Lap5nmEMX7NWY/oGkuUBs4/mnPE4grmQ4wlaGSBorvcR5LaemnXNYlMMzKGCHXyI27temH3yJtY818LejlMZ+qY4JaYAGyskEaum8p1xtn45hsXSXG2pWW7ZuTBJsvggctxPI8e9maAdJDPK6TLXlvEo6couJxjDM9b2ae5mf1sugPlyxPtmohvxcQT+/jovBt5hDLf0RGk3GiF1NUGaOtO2oKj9JPd3EzrWpQSA6fe/xL02lu4Drd/i3uu3T7nPbXHfPQ9dZ/UENdAS4NMovf5tq9mFBgGNn7wyiUCNJ8oKEHCFf99elJq92JgudRufvo2q/VYiJxe2tejY1Iaem+s++1G3CBlNxmQSd/19H0VifvZmBZI5vMtaNvXwW8LWL20lbhE82f15RIDZtROKmP5uPvLv7TTUxmmr2kRb1URInkD4XKVaoaDCgonTXlFEKgbxVDPtabXsqGk3g8LcAuI2I93dryB2cRW6FotRxubNiEn8PaRxPGCE3POA2Ys5uv1ogggy0xlZxDD1AFnXR6LCeIJUXmA7C8bScbCcwhmGVFGZVqBWN3/rKiieiHr9Yp0UH2pg9LJHqD/tVeSAX0LtIH2hbL9IMJkB5OwvhBCIv/bWE2BuJX2yStg8geVh9xmXhl6bgPpQH4n8wqC9IpOh6u0QYhFfEHpuldNJ3U93wPQqMA+QrpDj9+UA3YdZe6GIq9xnnYhSvr7m8wjwMw/6Lnrb7R7POLGCiQTi8WGtWj8X1EekXic2zKYd4R6nACmXvvXtK9vd90YJru8A7kT9sGGFqnONYS/lO8YzfF0VE57dzEVfPMUs7pIB3Ap2DUqflyGnWYYWph82hq/kmCburwhzCron6/s9NTh+SRvjlzxPRX0hK9/9TkxLI6SGoX6SGLGiBHbrHoZteow1bz+X1e+Mk/xmDR0Lanl+TiPFjS0M21RAW9UBY9gEHBqM6jnWst4YrkX1639G17WPNstRhP814ExjuDFz0eQCDU9uLCKQlNx6NFPVecDMsNBqPWj16N5YvpsAILccoTRcFZk6nG3Eee6Jqxk2YxNFk8Z2pWswhvaNln13GMZ/oY2iQ5so37WKivpCxi5ZRf1pdwPrD7fmYqTg8p7Q08cZwyTbP/P+Dsd6AsydQLUxFNl0ofWR6Jx1oLRfB6qNhIk7ZxvDxiy/63yCZvVMSyB5NN8e4s3XRfei1X8YML2SjY++wtNVytH53036IO8drq/0J8DHUM/mxe7zn8r4jm7mHOhG93jQEc88eF5BenSyhp5rnzG3z5PQsWl1jnokui/Cq/9tVsOib0NMV4FyZV0Jkx/+FGOWjcYk40x5pB7VCOPu2CQ4/dujWHvFb9g/40PufV7M4M3Ab8hNA7i/ALNf0rFZrIOGyVVsvHA2hS0HMNaCTRFLdWKJUzK6gwOvDCdZXMaJN99J527LU41XMWHvCwzdcYj2yiE0jhnNxgvjaME11Bha0cLrYJZH60Ak0ji/+TOjyTDXI5JbBYGQ+0hUdphnDP8F3MMNZgi69+Yg/OpAwUbXtXQ0hR7e8IDpALKK9FaPzFRTAwLHjShF1Z+TxYsIR5cJDD/hc8QO7OOq6v/lMXtT16XesR22fdVQ874mhk2qI5ZopbO0ksKW7YxZVs+Rt4O8QqDV6u1iY/jZMbrhsgKm6wPchVKdm0Pb+DTpcp9KdKzZa0lXNnqHo7J3LXaMYS66abPZnx2QzSRYRDXg6qTW0umcl3fSBt3Ila7l5T7go+61OEGUlznI29eZOxAYX40yBwkENAnUf9lNVCDKXJS0wi0mNiOAHu72u4Oe07eZVop6JU9AadlWAum+3e77GozhDuAfGffMcI6/bSqdZSXsPH4k5buWM2Jt+sSRzWeNZ/j6uXzi+Cf4+ePPsv2UEej4elH6a43hMzkowxwxYDp/0Kd2kj7ZQ18dSUX9eXQUttBaPBpbUAyJJLa1DRNLUXGaZfdt5ey+v5L4xnbustdQwibOWb0stGbYx9y7HrBLP7bBZUTK0bnwj2q0QPJ/FzgSXNTjAIpSj1kbmbWsMoYPAR9G2YlxdBdy/zajX7iU/bVrGL5xH1o8Ru1znKMo9PCGBMweeyFljQQR5KYolY9+tA58DTQF3MSn6WAYH2Mxj3zp30nF5VQ7d8O266D6KkvFm0pJtFUxdPur/P/svXeYXVd59v17zjnTRyNpJI16HfVmC6vYxhW5Y4wNjgsBbIJpJoSX8L1JviTE9pXw8SVvSCiBEDCB0FzAGBsb4W7LclXvvdcZzWiKpp+y3j+etWaXs8/MaDSyZc3c13UuafbZZ/e97vW0+0l0tJAsGcrBCy8GxomwDY3r7TlV6Sk7qD+LPrQOY9EHdvNpn+mpIzwAhknbkfs+6JR262wS3fkjQ7Otz/yE77eD0SSg39jzduLkufCmMZ3x0rm+5WFR7UaChBnDWnSWbDeg8UN/EtA41C3bBtQbQ4sI41BZu3rgx+ggMBslugvQ7NYeJ2WJsAAv47cFje8+jT574wm6b6OyTQObw+vf6QrRxwK3inA+Lv65+NurKd/0Jd56ZQaNVWNIt+WRP2gK7Yn9fLBjJasZz/P8Je1vjocVKV4xc7ns1uW0P1tD7cxSdOJahiagXUD3rdn6wsKsQJ+NJjilDN0uYYntavK/fDFXfk3Y8/QFVL0+rXOFxtcLGX5LMyPvqGfyHW9z8Jez+ZZ5iGJ28KFA4lMcnTAdhM5s3Eb7iSx/EVV+KrPn5SQ2/YQ6SIQWcluoZ9xKtZnv30ITgr6GhgOckHsRQ/aMYuKrt7Lirw8wZvWvOf+nNSQiPa9nVOihXxCmqCblJDyCDLfMasVHkEDtO2hR1eGSL/6Te2lhHJ/haxTnp0gVDAYMyRo49PfCkA/CkOu1HjNdOILG8ZdReuwtYh1pmka1oQ+Xk05rsint64Gqnp6PLb7eStDluFSEbe/CLLQrlyxo4s9839/z0BflQFjSzRh2iyqxXOxbPAfYJcJ21BWdy9Lai2aQOlKe4ftuU2hdv+C9I0z/hOxFlPgG+ZbF0OdyK1AtwrX2XP6ITlQuRi3pVfaYy4BPinAEWN3dvRVhCtqdxmEX2jnCqT255/4F+6448qwkuk+lU6/xI4lO/iYAExh84DpGbJtG3fBWEqMzVH5mH/kVSZqXnWTVb/6GSbF7GZs5wftufJJBE1u54Htv8wg38MLBD/GB767lpX8sp7W8CC8R5M9FuKer5DX6pqzEkdjOvhoDrEv8VmAyHWVpDi9pZOqYFMP/4gAm5oV7JNNBSfUGhk0+yp3yDRKRxz4M2HgqcTrraTlO7raAvbVS/W7g07ZS7fVeJcLdaFzz48AoCuuKqHw2j/0b8qlbPpO1B+5jxdT9fCz291RsaeAxLmcTX/RtKoYhn+v4ay7sW6GHd4Qw3+kArZ1R+WshR4VW6SBYC9ljQjkDOASk2MYojnMdQpLv8jM9xE8Io+85TnvTCJLHhNqHoPYhV98XY/ojZTRVXErRiR0cvWBtaLulaNnCReggvB6tvexJbeULKCm4QdFZNT3pGNGX6Alh3mDdaOAl++TSjX0Rrw2aww3oNcqVdViPtrZyg9cMPGJ16it+1KGDtDvWGD7SMYZ6Ue3RuaHfjUTJthx4GZW1awEQ6XTXtqMJXZXoM30TMF6Ep3IRic1MvZ1gq65f5/I+2H1uAjbZ6zoMjzwnoe/voIifBp+riS8PJ1WQQIY2M/pTDSRLxpHJtDH0Ayc4/Hwb6ydfwweSTxFfPIS533udDJrE1s4oKp95la03T2Lv1aV2X2WoxXEpXYsq9IWF2afxSxHGoNffTZri7LmqggX/nSDeXkjKJr/G0i0U1u0mr6WBEVt3kOiIOu4C1MLc3hfH5nAKVurg0KeSM2ClWpf+11Fr82+p2LgQpJTYyATDbofmNRkyrWN47c++yuQXf83Nv1rOR1OvdG7gUZayk9tZzFbUY9BnQg9nlDA7lfjPcIDWpoGPJ1gL6X95XC2kI8ijZ4n0G+Y+0y4PyGZmMpv7uSlrhWMrh/LGV77C8NtnYmIu49L+GKGovog9S2eRLG1F69miJiAVqMblVTZhYz2wNVc2r1EtyDV48UCAy0VYn6PE4EyhS8I02iEhjU7EilESydkk2sY9H0MTaRzpzUTJck14+6jV9EgoU9JPdBsjBgBHmO74XdcKP16F0IxYz2EY8BVjeD60/jG8HpkZdDBvtH+fB4wS4dFwVrRoq64/JUerru5gz63Gft6yJVXjgU+i19opGrltK/Ib44xeXUFLhV63WKoNMUkkk6KltYKOhlLMh89jfSFMWr6Cf6v6KRnbjHkiv2TY7t3MfWQzBy4bTLqgGK+4/V5b6pQrye60ykpsOdF49Bqfdo2jdU/fSHCcnUlLRT5bb0kx4/dxmivSmEQDiZbjFJysRtJpKp+L2ncB+h4//W7I4tlnxmViZ6EbK9W5geM+KzUqSanTSrXP3isy+cVdTH/qhxxeuICyCwdjJJ+2XXFSHQnay6ax84Z7OT7rZS740VOU79HnbT8fYBQv2qehT4UezhhhygMyEe02kKaPA7T2xR2DVws5nq5rIQ+e5anXW/HcicHBbNT6Oia98hiHLrya5hELMPFi22sR4m0gaaFmVj5qAZYDy8id9SjoNZuCxu+2ouS5N8LieJlgrV4J6hqMLMc4Q+jOwgSvHtNltq7p6l7bycAy1DpzbbZAn6OwmPuTfqEHO6D6xe7D7lhQq9NPmP54n/88qvGIvhyv6XJUVwxjrcw5vsVVaBbwWHsenxXhcVfsLdmtujpQsuy1epMdzPbZ8pk1eNqvLoFIMWptGbFUjEyewcTipPNLiaVayKQT7P9hJWWXJSmcDOkTJUx7ei//wJ3UUcAyljKYaiDNtD+sZdi2yVSfN8ieQxn6PF5N7tjt6VqYlej9ylV72iPY8elagp1cQN3VIwDhxIxCtslJZj2eIZZuAzmMicOQfbsprvUP7E60PY6S5VkpvH7GrNQlG0qZ/NIqYAvHFlxPR8l4MKqRbeIFpAqGc2LaDWy/6TAXfWsFWxlBM3O4ge/Y3fap0MMZIUwZJl+jg3toZgzlvMKX+DYAy5nB2/wpLUxFyDCIjdzED5lCA10EaO3sZSTBWkh/0bVBA/T+Wsh30hI6LZj7TL08IM+ghezVhElz1m83Uzd5CvH2kzSNXkw6fyixthil1bDjhgxtQ135QiWaUfl7smv7wshDB6D5wEkX73SxP6Pd1N9AaxYdLhZhlemmr2IfoqeEWYnXJLonouFrUfetX/ZuAkpYTk3nNZMtozcLb2J22BhORGy7nmx5vLDKz0h05uvcjcfRe96OXuO1ER6QMGGCEtUP0WSl2cAdIryGui2jWnWdduNeO2lwOQBJvNjY/49OqioZtf4qTGI8ycJBtJeNIVVUgUlnOPTtcqQgzsh706RMOYOO7MbEBDKqaHMby/gGv2Au9zLxaB0TVzxN9XkjCQqzf16El3MQ/+kS5mm7Y0UoRetnJ4S+cpn4oM9DO3XTj7PuU4bJLx5g3BuDiaeE6U+dwCPIPNQ7thHYfrYLrneHXlipQ8hrnUX17FEkS9KUVG3GjIpBuhKMYIhBAVhfogAAIABJREFULAZpw5LvrADgDT5ACVuYE8hh6DOhhz4nTHlAhjCTMSR5mP3MI+0jtmZKmcozvJ9vkEeaX/B5HufLfJX78Snxc79pQF9Kfy1kUWhXxwnWQrb09bm8kzD3mf3ygDyNZ5XX4qzywoYUY1eu48AlFzJk9wrSeQtJF45ixw2GhilxgvGyYegL+xL6ovVkwBiEWo8X21KN9fa3r6NuWedSdJJ5vz/d8+0hekKYB9HawhZ63iS6GH0hkwRbds1E45/biBafn+f7f5R1CVpi4SdMNwgAnWULl6HX9QBKeu68XAxzEdrJw4+w9QtqXQoqpHAhan29H61dbMNzzz9tDLtyHO+pYkzEshpbf2mAFvKbYmTiGcSkyeSVkCGPI/9ZSupknPH3tSOJBMaUcOz8D7PhE9Us+IlmH6cRMhRwhGFMpIELv/UWK794MV4T9UFoPOrDwM8jjqPXhGkHa+c96FU5iQjj0Xcv7FEoRCc07nl2jRCgpWIzm+84zo4b41Q+W8Pi77+G52mq5wwX4p9NiLJS5YG/zaDXQSenTSML+PnQ/02qfC5i8rTm4dAKGscVM+RAC8f4AFN5NLTpNOHWfL3EmbAwZ3ENq4BqHmQSrb7uHNeHZv/v4yme5xsAnJiS4OTocWz/0OfRWVV4Vl6Pp8e67x20ct4xWNJ8FB0U5qH3JwmkmfZUM21lGVqGxzm86Hn2XD2Zlor34SUCuJdR0MnFB9AX922i45q5MBItkr8avd6H0JfdWTwLRDttvBOSeT0hzKPo8a2h+7ID5y67DSXNrWgM0O3HJaf9U9hFbeOBk3zHkavMpg5PWMBtt9huYwiarXoR6k5tsvt3qkKuvtfFiztjdTYRoo6gApEAk6wb9g2bNfv/oM9OOxrLfdr0rFVXTxFW+MkD8kS4E7X0E9RNGU3RiUKSxYNJ5w/h2H8W07HfMOEfG4jnxTHGEOuop3FtCftOzmYuG6mngN/wCeI0MZeDwFCG7aoD/gvNXC3Fa0L8KRH+GPEMno6FORa9T3VE6BN3BxEuQBPI4qGvYqhnIA99h1zzc9AJk55DsjTNto88ae4zPZUB7C/wyu4ASqvaSTQcIcZI8pqTJDoaSLQ3s+WjC+n49+MkKecDvB7aRpxetPaLQp8SZqcuanS/viAaxxSx3VxKQdMJXvrqTaSKSoglhUFHSshrWk+ytIFgLWRPLIf3PKzb5S15QNaifvchQAEx006qaBsv/tN1JEvT6Mt2BM0cdILVzgUYR0lzMTpg/BxN0ggnn3QFwYvpnI8KmVehE5elqOLNmUZPCHMSXlZqT6yoa/HUdurR6+j+djVcc8kmX7+FsL+LWKDzDPit/iIRlqDu7TfQwd91sdmNxp8FOieBRagV+kxo23vsun5UQqdItRM/r0efmzFAs0S0QTsNjEXDIcPR524Iet1drDSPE5UVlO+aRkdpgo6qOPUvFSEJw857CsBoPuyYj6eRRAtbn7uRDdxCjA5K2ME13M8gkijB1KMTk/V47b9K0Rj8HWgjbj9Op6ykU6zgVK6VqAzhDaiQfRSmoxPXFvRc3H6cGIpDFUEBjgEovLK7dmK0xRMkJ47DpAwle9YQi2UQSTHzidU8xN2U8zrDs5LC3LN02uhrCzNaF9Xh4EUVVM0bT9PIkdRUTeTgT5cy7bblliw7KK6pYuxqwy13Pcmjj606G+Wc3ilYN0xWkNqWCTgN1Z0oaV6IKq8U4A0aMXTgvQTNrvsiOpudj7oee3rvXdunOSjptgOTRdhuDOFSlr5GTwhzEUoSVd0JNdji/XAixj7UaitDiacZbb2135hArKUn7lhQ11FYHq8cJeH/Rl/cK33rN6FWx2gIKEgtFm2x5o+TOnL1Y4o9t3GojFgSJZhSdy5o6ckTp5nI4jLeb8YlrnhohM5M9bEcn5NgyotAJo/C4U1c+O8rkFQHsYyOCy3lE0kXlJHXfJzpFVsprK9j8ff8af+dxflGhdn/A6/1mSvCv8MmOR3y/e50smQ76y97uL4TQLkdz2IMYwz6ztSi3oxCdILRhlr//mN7oz+Pd11Ay+4gzi+4jYPpOzurat762iRGLtrEFWN/TN6eDmq5hAutx9JDQOjhdNHXhJmti+rH8VljqKucTtOhUrb9/Aomve8F5iZfYsSvqhixuZ54yqCDe2bg4cmJ59GBy8WGm4Hvoy7UW1Arw7kwXDLQDNQivB/4H/S+z0bJc1IP9nkcHRTL0AFrAnC/zTZ19Z19KRfo0CVhijAYncHXQdci2ZZQboz4yqCD2XC8wu4E2injR7YUZSieKzJD17qmThfWuWRdjPkXxtAuwliyB/a96EDqJ7Q4Kn7vj8fsI+jqBdXTnYi6mV2pTC3wz6jlfDN6ryts6UlkwkUURBhufzsLJfRC9P0MYwRKGnGglVTxYU5U1jB8eyXJ4j1Mee5F9l/hCUZIJgXGkN98gvIdezk+Zwb7Lx3FxFddUlK4OP91NLQwBL1PJegz+GeibaD81nwY3VqY1t0+Gp1s7Otuffsbd81zeW3K0JjoPt82x9nj2UywR2oTXU/C+i06y+5gNjfNfJr1d6UxMc9FW1J9hBn/vpsY8A/cGbGJUxZ66Ap9TZhBXdQwRq07QP2hErY8fw9TzE/52JvLsnMb+i5Aey7CSkgtRwdTh+moePEW4KvoxMXFNR1pVgD/glpK/2AMa4A11nJw2bJhBSQ/dqNWrMNg1GoaherN7kbJc1s3aiyngu4sTOfKfBsYmcv1aAfE28mOLzlsQAcxf//LkegkZBnB2svdXSWYWVJM4bnI0+ggWYHOckdH/KyD6Oze2SJMMIYDdtstIhwlmHiTQHVynQh6C/BLe4xbRahGz70C+IwIT0Zk/wKdCUmjUIKcRbDjCARVfwRvAtVsz60GHfyrqJ4nTHolj/yT26mePzWwFcmkSXQ0Ekt3kC7IY9LLK9mzdBGj1i2j4GScUHG+1ej9Dur2LEU9J4PQePBDeFZhb2OYzrrc0135mb1Gi1HLPWp/QKca1Ga8eGg+eg92QFb+xcqzvOzt3cZW0onz2Hn9ogBZxpIdzH3obWI5b3GfCz3kuuG9hQZo24lxkjwMMYz9fzsxmtfAG8/exfjMk3zMLMuxjT4L0J7DeBMCrjpBk3y+CdyNdsUId7SIo4PMnwEP2RkyxlBvDMuB7wE/QhUxogihgezY9BQ8Up4KfBT43yLcLMJknwJPb5GTMG3yjnNPvmK/C2sC+5N8otRpQAe0x/Ayg/1YIsI0QtqxOQ9WyBPhapRIkniDdRyPfKIIE1TbNSqR7drQdfRny7pWXa5cIQU87BcwsP9/EJ0U5KGW8w32uiCCiDBehGvQPpufQ+OnYbLEnpfgNXoGJYWVeMpZjwI/oHZGARs+tpsRW4VkUfCcJZMir1mPMVlUwOSXj1JcU8P2Dy1ASeWZiBKKdeh9dlq9Rei1/Lzv+vSWMHtUTmIFUm5Bs5BzjZ2CWr+bCCYPjUFd7+HSnhS5lakGgM3rePLBE+S1jifR6hHm+NdWUXYkl4iFE3qIepZ6jb62MDVA+wtu56DPPP4mVzKehwBDklHs5U4e8H1/H7f5ttFnAdpzFdZN+CzBVlyTgZnG8IwIH0KzCxeiD457uV1c80rgSRG+iNYbGmuZHQYO221PRa3OGXjPyR7UxeHP/hxNsObTCaCfDzSKio1vOBVXoA9dWZizUHdYNWrdHMLrL+nH9QS7r/jRjhJMG4AIT+MlWjn8KZ6cYwqiu8CLMAm1eI6hlr7fWhc8V2YuwjyIuoTDAvBjUVJ0ZL4Hr6PKDHuszt30O2eN+mHjgI+jsejrUeH2+dYrMIHckwk/xO6rELUiG+zy4ygxvIzXF3QiMJjDFx1gxV81Mvnl2WTihpYRLWTyDHktdZ3xzFSRWgHzf36QTbcv5e17nzJPfy+rFttu9/to2cwgvPZfS1GvyQZ6QZg2acc1vM5JmNYTczu5759DHjpx8HvanNrT1oj1N5i+7rl5jkGE0XDXTGqm72D+ryrJxA2x1A6mPhMl4nBGhR76mjA1QPtpHiV34+Gusiv7NEB7jmM76ib19268VoRdxrBDhFvRONZHiY5rTkfvxQMi/MTvErJF89uB7SKdNWTnoTGxsEtwEprhF+WKL0MH90usK3E92t2jp/HOrgjT6cautEo4TvGn00oUYSFBeb8wHveXJthawseAT+ENvpPRAXoDmkEZ8H5Y9ZKr0ev5B2PYJsL1eJm7Lo5Zbq26kUTjKGo9XRixzlIRttp7dAB9R6b61stHRdi7ioPF7fYPoclBg1AreAvkzEDPQGfP0HHoc+Sf0bei7/lroYQrJ4i/nW0fXcDRRVuYsHwYY1aOJJaKUVq1l/pJ44ilY5RUjQaGU9Swhq0f3cCeay4QYXUO6cptwB+Au/Daf41AhdnvpXcWphNBqTKmcxIQgKh4/a147diiYFAre3LEd2VoJnHUsWTFpAbgwU5obgFiHL6ogaaxW5j8QjHXfmUfscxYXNndOyT00KeEGQjQ5lBz6AZ9GqA9l2FJ4o9o/MoNFEPQGr/lxlBrLchNwF+hmZrhuOYIVKFlnghfixowrPXl4p1D0fjNn+NZJfn4Wmx1gdH24493bu8m3hlJmDZTeCJek2hQIrim84fCBNSayoWXnYxcYAfareUVvEzWCtQqHwc8Ejg4YTqqzrQLFUt3ccQTBAdHJ2JeQXQctRVoMF7PzE+Gvh+CEukK612AYLLWESJKuUTl8aah1vg0vNyADXZZOUpu+/CIMWXPZztqFbk2S4PwnrM2u/5ue0x+V7lLKHPnnUfDhDY2fvww224+xri3Clj0veVUz7mFZHGKjkGHmPfIz8x9pkPuR1DCuRjV2w3AXp8HUauy1H7KUKtzEb0rK8nZ+9K6ei9G8wW6Ci84HeelOfZfQ/RYu7uXnpf+hCvxJ5o1TGhj3ad+ws1/thd/2d07JPRwJoQLcuuido0zosR/LsMYjouwEnWxOVwqwjpjaLQJKN9GrYjvoO63PLyX38U1PwVMFeFeY3ITn62FfUaEJJpxOhJ9mMejg3ZPHtQYOkhNA9pF2IKS5/6IhJ1cFqazGv1i8EfQTFDtn6dxy1xJPtvQAS4XXkXddHPxFKYmYDV6Rds1XYeS6O+MCdTTgV+lyVP7GUJud94Rd+7GsEeEnXgDucOlIqxFr/kk3/ITqCtxCipeUIRau7NQKzTqHU+is/CJ9jMBdbH+DH1WZqOKTv6YcBn6Pu9HrWEDHIq4Z1PRa1aVdQ7J0jR7l77A3qVv4t3DFjfAWUJ8CtXF3WJMtoCAMewT4dfAl+1+ClDi/xLwi4hz7S7bPrKcxE42Pky2HGEYx4AnCGYp+7GZYEmSHwPWZRewk96LQ4vXGcN2e1tPWxv2VNHnhNmtLmo03lUl/vc4XkZfSOcuykNdhI9Bp+r/syLciMY1F5Md1yzESt5Z19aKiIHQj9fQAa8RtUZcXNO5RnqKAjTzdgHQ4It3OjdpmDAzdiBzdaidyRI2k/I4SmJXka0U5VCDumJznp+Nl/0WL1YISky3iGq1LkWttO/nsJBrCbb4EjSmmYsww42Kn0OJx3/+BegAPhEvftiEDsh5qKxhwn7fk2S+FuBx++9C9Bm4A008Ct/DJpRQjhK02A6RDeeOrSfYNxT0eqwkmFRW7M9uNtr+bDnwIRH+J8d9+iV6LZyFWYZm0EZl/+a0MEUYhj67rf5zEaEcvRZRJTR+bERlIm8jqMDk/z4s6elQQ8+ENvol7Ht+M8F3oAHtEfuuoa+zZAGVeEO7uZeT2w2FXV5h1ztrlfjPZlj5tHCPwHl2duZfbxfwJ2jMqYlgzNG5aKfZ7z9vLbVc+2zHs9BcC6hW4CfAU5CdeNIDDEZVi74owmdFlXHCMSODDsiRTaLRQe82cheStwMP9bCAv5FglqMTHPiM3cazXbiTG/BqMUGv71B6SJjWTRcuM8kHPmG3cxJ1i9aik6WLUEtoAV2/000oYf0M+FdjeALVzH0FtUoX23N0x9mCNs7+Nnp/w+Rz2P+HjXdPR887KpFopzGcsNfNeSPiZJeRvY0+j5HqOfa+/xy9Rym89l83kW3ldeWSddblLheDtVnRn6VrssygKkxuUjU1Yp0qVNUp6juANwdqzbvE1Sgv+PGEL+zxruCMtffqUhf1HFTif5fhelf6G2VfZwvvO19KYzghwp+jbreouGYCjWv+EzBHhL83JmfG8irUFewe6hjwfmN4BO2aPhQlt/PIfvC7wxj7cYIBx1ByMPiSfSJ+Nxi9DlE6rwZ4LMrNlwMTUcI4iro7K1FCPo5aNIdz/5Raogkz3MjcIWxhQrC9Whx9hwahpFaHEs7E0G+Gkp0lXI+GSbbgc6HacpLZKEGOQC1Ig9c2by/wH7b2swh8mtAewtdgFvoM1RAt0u5vQN5CsHVc50BoLfwngbtE2GGidaMfQyeApai7exDqWp5GUFiiK8LsLCcRTxT/CrqOVzajDcX3ijCTYMcbhzY03v3+HNtoRcMQA4iACJV477nDSmMiGxC8ozijDaRz6qL2QyX+Mwk7wPwRrcF0GINaHGtC63bYuOZGVItzEtFxzbvQuOYXImJ0GENahBfQQcthlgjjjeGgjXe+Yt1r49DB3x8T7Alc95VhKAFVoIPNEUIp+rasYx7B4no/XjTmlLpQuGMtsftch6cmdJMIh01uPdk6sgmznOj3rY2ILFWj7dVeRV2Pi1CrLx8vG7Od7HMdihLdcfT6bAWOhZJyBJ3EXkGQwDOom/kF9H4VAp8U4RGiybImYrbv3LFRhFNLMObUjFe+U0xI8NwYqkRYheq0BpKt7Pd1NgHo/8Nr/1WKWqV78Ag4kjBtdvNEPOnH21HJyK5wBG0o3iCqgnRLxDoGJfM2vNBBGKv6UNzjnIL1UoRLq06gYYp3HWeUMB1y6aIOoO9gkyE2E0xSWGqTJ9pC6xrgBVuv+QM0AzMqrnkZGtf8C+ClCBfSFtTK8LtAr7ZlKi4mZdAyoYM2A3QaOrBOp/t4p3/gTdjfddhjvUyEDUYbQg9GibvD/iaccLYFWNHNvrydaizwenuM+1GL+1rf8Rah8cyfm2j92hqiLcwoRBHaWNRam4MSm7+m84T9O1xCctLu90FjsmOLdrtTUYsybP11oAkobxhDqwijUNf2KFTIICpWGVgmqqs6yf4Zda5vh54ffxwzl7zccjQ8MMuYyBrGPwAfxxNmd5aw614DuS3MKej9rLPb6ErlCrSH6tM2S7kAJdgoRbKXjWGnCJcSPb5m6EFXnX6M6whOBA2aWHdWGFbvCGEO4B3DcwSFBkpQ0ns2amVj2C3CbWhpyZ/Y9cP1mlPReNHXrYs36fu9EeE5gpbtBHsMUSUbKazlY918c9BZeC5hAT9ieM2WG+15XSbCMdRSyKAu/0bUNevS9avRF65H8SJLFp9BSWW1/f1KvGQqB1f+EEXEfsJ07u5cSUhHRHsxTkAH+pl4A8Y4glmeDSgxuia7R1DiqcGzqAL7sUQ5BSXKcGuuJKrs9Lrxyf0ZwzERfogmXcxELakmPC1byHbHzrPn2UGwuTt22brQMn+xfmR9oyWn3wO3irA3YuLXLML30OfNCbMXoM/UDnvMuQhzGl4iVpRL3CGNJpqsss+7oBZQlBLSDmC5rbcNi/w7bOrCM9GvYV3c54cWvx4lxvFuYYAwzyHYDMPX0DZSDheKsMaY6JZr1rX1JdRi+Rs8lQx/XHM4amXNFeFv/XFNa9nuwIsHAVxlY08540c2WWkVGu909YD+3pAQtDBL7d8nIDBwXomWWhjUrRfDI8xWVMmn29mptSpdY+cWvBjTJjtQvo7GMaf4fvYBO5AHyMMO5G32mBxpFhK0fF2pyQx0kAiTxnC7v2aUQFP23OvRScMBdPIRHmCmYCcr1k19JdmxzhQ6CVhhcqjMWBGHR7CNxdHnogy11pNkW52udKKIbBGLdRGJVj2xMDGG/SJsQycrUY3LX0GtycHoNcu3/5+PirZHaQvHUA/CLLqWpWsCHg0N2Bfj1Zn6cQL4rX1W5pBbPWmglCQCtlTrQ6HF1cBL78Lh5MQZyZIdwLuKFRAQIIih7sScsITyH2jB/G6idWhL0SzNR0UCpAHaQcW//nCCQu1dwmZOvozWiv43OoiF42NuAPKT0zg8tRtXuuFit9PQLMVu+6iKMB74PBoj/RFBV9sme4wGrwzDIYZqs0a55sLWjYuxDUcH6ovRQX082WQ5yK4jdhur0VKe11EiP2KPMUs7F5giqg17F2r5+8kyjVqU3zaGZ3KRpYM95y3204FOZhba4+0suBcVkhhll0dZ8m9HLOvWwvThBWCanQCEj7EdjcWfQCcCziU/C52QhBuBFwH32u/bIafq1EHgv/xkaZ/7qyLWTWIlFq0FelGObR4wJiAjOQA6vSAfJDhxyqDlX2eVKP0AYZ5jsC7TcIB8mk2X7+p3xhheQGd5K1DC8g82Lq55CRrXXGofdFcGEXa5XWlrqU7l2I0xHDCGp4B/RVP3a9ABMA8dtB0BDiUoC+jQbo+zAxWk/wsRrrQ1dwGIkC8qY3cbWprzCF5yDajF2umus9maT4Q2U060opATCQdvEL8QTSYaidc3Nix076QIa1Gi+j3qIn4RshJFJhEsoxhkz/leghJtaXQS8h1jWJYj6zQXxqFW7Sp0IlaAehMWiid67pJ9YmS7QPfk8G70yMKETrWpp9Fkq6hyp7fRZ9bJ9uXh1WZ2Ho8II9GSESfanytjehXwU/91EtWSvZXohKYnjKfYM4Hc5UNv5Fje3zGXbKv9FWO6dJW/KxggzHMTm/Gkzhyus7GVLmFTt29D45a56jUr0Vq+P/eR4ksQmA2WogTRK9iZ5V7UwqtCB7e9qAXjSCVq8DKoteEn1suBL4lwjwiLRCgWYSpKLAWoAMEWa1EFGkWHY5/GsJ3spI3zRbzfWfdSDK/FV9z+PzyB8Fs3baiLtcNufwt6D39mLcHnyCYj1zmk1B73BSiBO7d2BnVXftcYnjI5tFK7gUvocnHIg2gc9XrUus63+y4iejx5K2IZnJqF6a77UYLhBvddGvWQuLpMN0GZhk1EEmEucA96bdzk6URoU2mU/J4yPi1b666/Lcdxvm6CGr65rMs6BlTMsiDaeu+DocVHOIUkvXcSAzHMcxDG05n9LB6pDEPrJl/vwe/rRfgySlZ/R+645gNoXPNvbCz0TYLqOJeICmn3thuDi/0NRq2bX6PE/Ffo4BZlbTShL1wZZCVXjEMH0P+FDqy/Al5wbh+b0u63xCP7RqJJVJMIJn581Lomx6Nu0BFkE0j4eI+j1sxWNCb5p3ikmEYFEmpB23RJtgxiCcEaZ4chqHX+ijFZpHCq8CcKGdRlvxZN2JqLujYHodc73LqqntwdQHpsYfqwDPiCCJuMydrXJvtxtcUJu907RPuTOiLLs8ebIeiub0RLRsJiDM5dGFVXug8NR7h1y8lWN3J4q6uYfn+EL4Gq0Lc4hbpic/dVfhcxYGGeo7DujDWhxZeL5MzWDP8+CfwnmnK/i9xxzY8Bv7bFxisIDoT5RFgEpwBB3VuCkksbSsiNaPLEWpQcnWWbRAfNBqLrMUegNY2u9u4i4Ksi3GjjmDPxJpHHukiUSgK/QQff8ajr7wq0n+Rke7wtBK+Xm2i0oQkza1FhgKfQusEbCWrERrXqesX+vhi1sBfhaali91eNEvDvTpcsrUciSmzhFeCH6D2ZhcY1o2o13+6CJE7JwgStTUUJ6iabuOP/zqBu65MErcyr0O4sDuX2u3o878k+NF4ZJUbxPqLj8Y3Ar0Pnt4Ror0c7er8HEMT7yFZCetH4OgidbRggzHMbLxJMnilAY1w9go0pvoTGNZeTO655MRpru8Su58dCO/PuDRJ48aAj6Ozd38y5AU3lfx1P17MFr7TEIR+1iCaj7updeINlETrgfxr4S5S0iohoFC2qjlMhwhXoIFyBuqcdOQ/GS7JpJUiYjszetPtvwOsjejnBIvcXjIm0bovQAXkRnnSbi9m2oNbqFoL9N08Ho8j2QjWjnVVq0AStDHreYwjq3ybpmiQCFqb0vNn4OvSco9z9x1G3Zzt6vZ01uQRvrHPE7uKXbwI/j/KCiDAOFU4II41ao82+dQvJnei2JiJLuF9DVAksnIy4n7M8i3jAJXsOw5Y3vIwWAzssEGHVqWTrGZUBux34OnAnalmG6zWnYDVKUcJyJBJDxcp/3YtTqETJrsnubz4RbZjQQfuXxvCmjR/Osb8tQGNWU9D411Zy1+U5a1FQ0jxoS0M2o1bJLPvxW1KH7Xf+ZRNRV98xlBQK0PcsQ/B9SwI1IpyPWqcOawjFb+zgchlKqs5KdYpJx1ESMwRJaApkae2eKqI0ef0dSiah5D8CvU/jUILagvbnbI34vYNryJ2wH5fU1SVsuOH3wD0ibAtZ0TGUUGfhWa359jwmoAOym7xVoWUgG4iA9cTk6njzdIQ1uoDsGDXofckVx+2X8Lli/derA/WKnNVu6wEL89zHSoK9EgW4/hRm9ADYhJGvAH+PDtJhJZsEShx/j7o6/RJ4c0RyCqJ3BZc5V0vuJB/QUou37HE2G8PbaAwviZLJq2jCUFcv4wjf9htRwv1fqMzZt9Ai/ig1mG14A30j6l6tQbNp/QTm4rEOVSi53uRbthsdjJ3e62BRNaYv4QmrZ+w+atFyk00oOZcQdJ+GS396g7DQAQTLeuah8VLnYm5Hrc0LyI5nBmDPsTdxTCxJvgbcGHqOXYPuJjw3fRx9FhfhyRPWou7wXGQZRzNio9z6q40Jhjqse3hJxLoAW01uPeb+iiUEww8AzxrTfQnYu40BC/Mch1HN1z+isUiH8ahrM1dSS65tJUX4ATpIfw91wYV1aEtRi/YwmhzjLICrJXe7pizYBJoxqPtrBPqsRv32CPCUj2Tc4LUATTi53/5uImqhziFofYPoAAAgAElEQVRa0mwkOrAWo8TmHyyL7TEkUbdqFUqOBrV4V6MDsnO75QGzSbSmGXQQiuoh3q5CBZIZytELGkmWNqPyam7SWoUWyadt5uClKPGELZw9wI/RZtlOIckNNJPt8aWBSSLETzN5ItLChE4X5Ay7zi577qvwJjY32PrU17q4506UAfQan8qA+Qb6DJ8HrLMW4SX2eKrRyU0Cvb4F6GRiDvo8/k9E0pAfV5E9oIM+08sils/E08UN46x2Mb7TENXgDdey7iK7O89ZiQHC7Acwhl0ibCeYwXe1CNt7ooIT2pYBXhXhJuD76MAepUM7EU0IWoZaTpPQDNSeCqC7bgWuW0cUmtFYUhI6SfYm1Lr4EfA+n4tnH7BPhGVoHeF59l8njzbPHrshu+OHQ55dt9Ce0wtoYkudCM24TMzBBwoZ+8YsSqsGk0kIqXwgLuQ1FzN8ayUznxAOL57CoYsP0jChDU1U+RWQJ8KVaEw1/G7uR/V899lzfRaNu4JaVEl7rSag1rRzMe/LcS5dQqI7lBi8uOtsPClFN1FIogLu++1xXAWME+F3JrotU68sTAh0NPm4CC1onN15AJKohTsJjzQL0QnFw0TEpx1seVBUaUgzOqGJKqTPVUpyBC3DGQCdk9lbCD7bbcCTPZ1Iv9sYIMz+g2dRi9CRTxk6Iw/30uwRrCTencA/ouUQ4bhmwu7jZjQp522UpHd1F6ewlsl8lJxieAk6/pcqgw5gDdaFdimq3/kiOlvNQ62cRGiQi9mPW1aAWpeO8NvIlnZLo5bJcTxFGdCB8iIRDqCDcC1j35jC/F9Vks6Pc2hxgnSRJ47XXhYnr7WJ1sGVjF4dZ8Jrg9h0+zYOXvIze+yLyS49OYiW0uw1wVZtB8UT2zeodebKWo6gJDaFXhIm0dalv0PJfNQDUB1apwH4KTo5ugW1vj4rwqMRVl2gkfSpHqAxHBWhCS1v2k7QZV+DXo8i9B7HUXdxJdk1ykCnsMFNEV8ZtKVXVh2rDTXk0kJ+471CBO8QnAfAjz+Y95C27gBh9hPYOr43Cfbou1iEtb2NHViy+kuULP4BtUhcsb77FKEJKyPQ4vvzyS53CWMeOhiXka1u47DMqM7oWDSBoB74ge/l6xChFhglwgnUup6FDph+i/Uw6q4T1MpxmY8pNNblSLIrkp8ATGDMWyOY8eRiGsYdB2nAJAzGEnH7EWH/X5QzaPZSJv3lEVpG1JFoS7DkOxXA5zl4SVjx5whK/ru7GHSfRwnJdd2oQIl/MhpbnUIvJ0R0Eb8U7Q4zGZ1ohEUcVtoJ0XYR/gt1O49Ck3SeMiagCHXKpSUO4nWUGY26Q4cRJMw0eg1dlnU+nuDFUIJxfWdR3050be9zJqLFnUUu67KRYF/Ofg3RpgZXhBZv5RTDQu82Bgizf2E56op0tZgJVNT60d5u0GhHiR+h2aTfRy0Lf1xT0MFqLpp0kRFhY6cb9QEpQAfnoUA+mXgHk5d9lIOXzCZVVEPQLeiIYw2wXoRrUXL9I7DZBNtkDULJ+rMo+eVKcCtCMzuTaBzxh+hgWo6SUVS8MxuDDxRy3i/GUz+xjuaR45HMaIwkOo+m+gdC4ZQM5OUTS3fQUTaCVFEbx+dkmPvITBonbLHu2WOoRbmjO+vEuoLfQst6/JOeUdi2ayIU5nCHdoec8Us8eb8GgupOaXyTIXt8P0ZLMxYAN9t612XW6u+VS1a0ldht6HOTQa3LmWRPanah1uRCPGH2cuAOVBnIbU/QMqGo8qfN5JC0sxOHKCF2UFf9WVl8/07DTm4+QvAdbMaXe/BewQBh9iMYQ7sIz6NuUofZIkzuYgbdk+0a4LVQXLMQLybo5OHGorqoNfL/Dv4xhY2u52MCzTRNUzV3NBNe/xBjVkHtzGYOXJKgZYR/UD6Ezty/gLorv29saypbfuHKP8ajxFFO1zP9ErvNGlSN5TH3hahu6Qx0klFJV1nlE18eTiZuiGVqSLQXkyoYDDFVR2pcDrFSKJhhSO5PkCosJ95xkrzWRlJFkIkbpi4TVn/uUTSr8lQGkeV4HUta8bKTK9ESi0lEtFrrCuL15AzDZcjOR8lqX+j7TeF6RjsxekKEgyhxXgCMFuFRemFhijARbUXnF+CoRycMU33b3Gc/69BrMRR9zgqBO21c1U0ALodIreVqVCov1/1YTPQzkeQ9ksTyDuEKsuuCnzoNBbB3DQNlJf0P68nuZXh9WDmlNzCG/Wid5oNoIkuaYOmJZooO2X0/Gz7+UzqK56NEdRg4TiZ2gnV3X0jdFEPHoGpGrxnK+x4cwbAtzsprt9v9EGql/BYter9MhM8BXyaYPZpL8ceVJfwIJZNd6KAbcA8ZQ9IYNhnDL4F/Qy3ZbEHo/MY4o1dX0DJCLabC+sNIOqk5yi2G2l/BiE8DEoNEgnjHSQobNJ6X19zIiM3Pc+MXdnK/7DrVGbe1Hl+xf/qtTOem7E15yVCyCSwJVNk433TU8g6Ll+esN7SlGD+2xzgGbUztlxbs0sK0ohFLgLuI7i262y5PoPdxn13+Bl63FWP3Mx64225zOtmuQtBn7ZFcSXGiGroXRH2HtjPrqga138B6FN4fWrzeRDcEP+sxYGH2M9jC72WoELVDBfryn3YneGNoFOGvUFfW/QTT+4XBe4Vpy4rZd+k1VM8t4cJv/4Th27UrxJpPX0Br+WQwhkT7CU6OLiOTSDLnN8PYfFsTtTOdiMHjQKUI1xBdG+nQilq2+ag1utV+qu11GOX7fQddZPBaWbY3gTdtNu589JoNo2LTCDL5ZbQNLSATS2BiCcRkMLE8an8ZY/DVkDfcdccUEm31SCbN2LdWM/2pPcRTBjqTR3af4iUHLedYjEdGDpVEd3TpDlHxy6M2M3UeeqzHCSZhHepODMMm6fwQTQaajk5uylG3aU4L01r6NxJUQwojhcodxghOHDqAl9GEkzheJ5MPoxOgqHZdoKIGubqZYI+lMMd3A0IFdE4qbiYYW24kujTnPYEBwuyHMIZDIqwnOAB9QFTU+rRnxjau+d8oOX0fHRzzKawTpjwFOx6P0bypiPTJq9g49BJmTn6Q+VO3cGTuJez95iRa9xeQaphH5WdXU3KJ0DChkBlP5rOppIbG8dPwSk66w2E0Q3eZMZH1cP7OJNuBlI19lqDWSkk3/1cyLmwYQ/OICtoHBWNW7duaaVmXx6RvZcAIYgySSRNLtZGJJTh04SKq5s+ksKGeYVuE5tHn2USlhlOxNG3t5nOoC9q5wEFJaL4Ig6MyPLtAZPzSumoXopZhuJ1bj0jCGFpFeAglMKefWwbRLcdE22rdTu6WWQ5bUXfsEjQJa59d7hSW9tnl5ajbejTwDdTTEMYrxuTuLGKvQ65OPDtMDg3ifoilZJcmPdHLmPpZgQHC7L94Ho31OXmqIuBK4A99sXE74L9ulWq+D1zO8C3FZCRGfCSMv9OQGGFoWZlgwze/SPITbxIvKqR4WjOjF29i9y/fR6ZkMMniYUi6DWhk1JrpNI7vauB3oupbgG02i/dKNGY2lmziuw11Xebjdf44pdME6ik5doji462kivNIFg0lnVcKIrSubCNZDbv/TLRysD0G6Tw2bl/MBX/9RxAhWVJGsqSMdKKI6jnDUcu1XYQqCHyqu9Ej3Y4KNczHa7YNSkgzOTWrJ1f8cqLdVjvBJuVNnEJGqK+WtwYV4C4HrhDhIb/knGjD5lvpOr7pRNdXAF9Fr8FCPMnAoWg5yXJ0AC+2n3L0fu8kWBqzE7VIu8I0osXmYUCoAOi8d2H1o1XG9MqDctZggDD7KYzhpAivooOIw0JRndlwbd3p7OegCB8j/+Q/Mmr9Zzg5ppDhdzorSChdIuSNEupbFzJkSC0jb64j3gbymzzSpSOQdAuJ9lqaR8DYVUPYuzROstTp1+ajz3C1/dSiVt9cYIlIp1zcJLLdeWV4TZaTZDdy7gnagSYS7THKDndQeLKaREsbYqBlxFCKZ41hzIzBSLIDk8jnwPOzSR6B+Vc9TaK5gGSxEitALB0jWeyvDZ1gP50QoQ6yiLTOGDLWxfwsKq7vJ8w8NNmmR4RpMxqjrLlDaKxvDNlx3FW9zAjdhtbnzkPvxz0i/AF1MV+EZnB3JeHYCjxmDLvssQt6T/aiyVpr8WK4r9vv7sKrzSxGXdlP49Wy/rYH1n2uUpIqu+9+DasC9eHQ4jq0Fvw9jQHC7N94A53hu4bDMTQB6Gd9me5tDCflryd9n13XlbPl1luAIrt1IVkXI3kE8iclSBVUgMRJFqquq6STiEmSzh8MBTE6SkoZuvsqqs9rxRMScCQ5muiBvhG1JoVgzG2k7/81uAijEmez/TR19X8niCAPfKESHdyz20NVzx5M7fThHLpoMQlaSOUVcuUvnyeeMrQPSlA7rYzG8UOIdUxl75UuBleUtR3FUPuZ6VuWFOmU66tCLc1JBEsslogwtIf1tiPJVlZy534lOknxi7pn6GVGqCX5OpTYKtGY4E2o5R8lIOFHFfBw6Jxc4toR6JRWdDHcnXY/H0Tj1nG8iclYlOge7i4kYePek3N8/eZ7rUziDOFagt2CDCqsfkqqYmcjBgizH8PGGp9B69IcJqMDct9msRWfKGP+r16mtfwg+674Apm8MjIpOPZvMcquNOSPt27LRCmSbrX8lsbEXGKFwcROMmT/AarP20HXg6kfHejsthkdSJtQUhyOkmkH8Av0fFu6UyHKgUNo0kk867gqtjQwZH8TRxaez9RbNQt33/NjqXzuEAUnU4xZc4IxaxqAZqYv+xn3myRqIY4MfYYTndWehw74zo1aZP9vUMu5w37uEuG7PbAEcwkWTEOtNXf9HLYYEx1/7CFa0AnNLrSG89PoYNuMCmJEEdhG4PcRA7D/+uxAk7JO2G3tQgnyMPqM56HjXxFqZX7fmB51d8kVu2zmPVaEfyYgwgyy25y9YTPo3/MYIMwBbEcFvf3lB9eIsDOHbmZvkQ+kWfIfb9IyfATHp9/Ake+NhgRUfM4g6Q6QOJgMJmbLSCSOZNqIpVqQTAeJtnqKapvQQbRHViBqqdyIxgDfAhBtdu0SM5rQDhS9bitk7jPt8oBsRovYs93Z+c1pynftpGbWHACOLphB5XOHfGsMAzaa+0wH9wFK5I2oVYQ95gRKmhUEidTvfgW9NkfQjFtHCACfRIUM9pDt1m3yWUa5BAsuR92m4RjU6WaEulq8cjQRaAdam1uCEt42vHuVQdWicllyfsJ0fVGnoX1SU8An7Pbmos9jAV4LuK6yrYHOll+54twr+/h9ec9BhGK05MuP4/RebeqswwBh9nNYt9gfgc/jDThDUfWYcDPo00EHztU347crWN9xNalUG+O+niAWS1PQtI+OkvFg0sQ76iE1mljLCSQdU7Jsb2DYzm0s+e6DZt2nTmmQFuEQOiFwv/M3od58OmTpw1Z0MC2AiOScKc/vpGbmbE0GGlZB1bwhjNxYj6dzmjMrE9QbgKoABfRYbZw2TKLbUXek37VaiGYrNxN0RwO0+JKMlqDjQjOeW/c4Km/ommA7HMVT/+ktWtBkokkomVWhLt6ZaDbuXLQkaBOqHdxVjDBsgXeg1msKldEbi06QNqDiGvn2N/nAF0V4rZti+kVENwJIo3HX/o4PEqyRzQCPn0sTiQHCHADGUC3CSoJZbZeKsK4PhZHrcBm5j2+4k/ZB+cz9yz+QbhhFXssJTCxBfuMhMm0ZChprIP0RaGqBljxMPqQKBtM4dja//fkN8n8oQes8q3sYMzqEDvjOUpvl+65P3GjmPlMvD8gz6KBRTZg0Bx9qZdCRA5wcOxGA/ZfOYOTGdSjZPW3uM73qmWgH+L34kk1EeBp1ObosaJccNRgloeOhzRSjbsrpeM+AQa3Vk2h8dgpq6fnP663TidlZkf0L8GKCTsc1jd7fcWgMcog9ju7KNcKEORS9v5fY3zpd4i2oNyAPnbAMsn/fQI5G5/a5WZhjvxtsnW6/hQhzUc+AH8u7q819r2GAMAfg8DJqIbkU/jy0qPu3fbR9jfNtYxTHuQ45mWTV1z2JvgnXrGLkdSdY/w+Xk2xW1Ze9D54PD8KMf9lO4fAkmTzDgUtiKPldBtTYjh2bgeNdDN41QKF1qY3DKzivIypRp5cw95n98oA8jSY9pNGEJC9mOP6NHWy5dSKxpJCJz6FtcBWFDU+a+0xfx3eOohbvcIIKOhvRa/GM/c5ZpK60yO/eFfRZMGgSzih0vLgEtT5r0Ws6AajqpuQlC6J9Ee8g2PQ6LHx+CC3TGIpOLD4nwq+j4mHylUkFTPifcgYdLSTRmqC9rIATU8uoq2wmWToclc1zcfk21CJcYs8/DyXle0R4Pkdy1DxyqxH161ISW7v8wdDio2jj9nMKYsxAUtcAFCIsIvvB/7ExfdPTTx6Qi/DH+dZ8+nxqp3vWXkfxEBJtJyk+UcX7//k51t19PjUzZ5MqHEThiQqq5x1i20c25Nj8cZQ4t0SVxYjwcXSQnIvnkn3VGF7oi3ML7OsBGYKWNcxDSSYJpMlInI0fu5KW4YM4srCaE1MfN4cu7JO616xjEG5DyW2+b/E++3nWGF636wlKFiNRor8EJYYilDRr0ZKcOOoadW7aA2js26Ge7NjoiSh3twgzUbWfAtR1PN1+dQRPbSmDKsKsssdzK1727/PY1ln2Ws8iE5vLyi98mExeikzckCwdQSqvgryWY9TM2snuaybSUrEFr6H588D/RpN4yqHT5f11Y3gwdLyChizCrmyAPcbws4jl/QL22tyJdw9BJ4n/1ZflaWcLBizMAfixGnU7+QeG60X4UR+lywfjfDN/t4U3vlJJJk8tnLzWRpIlQ2nLpNl/2WgQEGMoOtFMcc0xTo75ETrgz8GpB3kYgdYJXiHSSZ6bjel0Px5CB1x/E+2cjYRPB9a9+pY8IGvR5JshQAEx007NrKO8+eWLSJamgVkiPHOGulrsRicnJ/C6cJSj1+8y625vsfe1DqgTYSF63UDdm444W1D3bDtqjRmyLfMh9uO/vqlQyUuV/d6faepv3+buZxMarzzg/hbhZ2iN6SVYvWD5i2lrGMaVQJp0Xi2NE7zwQfPwfJIlhQw61MiYVcMZtV5Ye/d8aua8ipLwa6gFPQONu+WjSU2fEOH3oYxZ18osCv3aukQzYqeHlr14LpIlDBDmAHywWqHLgLt9i8eg3TDWnvb2w3G+4tp2KjZt4dgC7bYhJqNHEc/n4MXzKamqJtEap/RYKes+uYPDF9Zb0eatVl90Gh55+t15fvKsRkmgCR1s3TNf3cMygtM53w5CWaVyP3E0tjgIL3Z2JsoRnPW3G3Vpit2f69hxOT5Nz4gOJRk0bjgBJd2NqLWZj1piqwmWvEQlwyTQ52eM/f8sNCO4HS+TOYbeu6T99yBKloFSFWupPm8TuG5h7BsXcvDij2LkGYbvrCaT741lmViCVPEITCyPWOYkTWMMidY25v+ykq0fGcvRhQ/YZLdX0FKWwfa4StBJ1Z+iYvsOuYQKavFlMvc3WNnC60KLD5CjHdq5gAHCHEAAxrBPpDMpwuEqEbacapwqcvvhON+MJ3dTM2s6qUKNnea11NExaASJtiSxdCnFNUVKlhc14BMesG2jtgBbrMjzVKLJs8J+Enafm1CX8BmxLruD1X1dhYoAgFpbfU6YRntRuljcMVTUwblfa4BFIrztExh3Gqt+DEUnH0k8V2YH8KQxXmsvEeIEY6LhkpcS1A3utu/KOcrx6kgNSpaNwHm+rN2Tfu+GMWyTS7/xMMN2/BOr91Tyx9p/oZ0yyptfZabNIG4tHsO+b46mbU+C1Ik7mP6xFxhxXjWS3sGCn5QzcuN0+NQWo+3uvovXI7YQtTL/RITf2ndhONGtv6AfCxXYCdbNBL08SVSgoC+yzs9KDBDmAKLwLEo87vkoQS2SPpG2sqT5KDCD/JZ5THvqGAffP49MPEMsHSOVX4hkhrLjgw0cWewaKwPRg5MtYPeTp7M8XTNrhzLUBTcZbVVl0JhnV10pzgRWoUlLcbQ2cpwxp12eEYU9aBbqXnTSEEdJsAa17K4CHrHrRtVfujZp/s4k1RBMurEuZUdwnbB1eZegzYPr0ThhCcFsVtcCrha1POcQzLZszdLV/Zt/Hku87RW2LihgzGXN1O8YTaZuOEaqyCQKaB80juIZSUZcVc2Bb43oPMrJL71EvGMMVfPvEuFv7XGvRN2z6jZXN+04NAHoa+QWKmhFW+X1VyxGrXE/njWmc2J1TmKAMAeQBWOoF+E1lCQdloiwuq/IJRDnG7lhAqs+/2mMVJAsTtE06gBHFo0gVZxGZ/5dEmbo2Duw8UtLntPRAfgy1DoqQAmjDNXRXSrCMbyY5xl/4Y2hWYSNeI2fLwR+cwZ25QizA3WVTcaTQQSNoU60WadhhZ88u6yFIBH2qJREtL/q+9F6Xn/9qKCWnBPCj6FE6lyzYQnDInRgngRo79F1d82no6SayS27SRYfZeOxUSTNEFqGT9XWaoWFDP9wC4nWOiSmggSj1q1n4ooqMlLDicoPsu3my2Hki1bt6j9QAhhk91eGlpg8Ru6WYqvPBam33sBa3VeHFu+mH9SiDhDmAHLhNTSg7xowx1GX5q/6cic2zrdLvs6PgY/7vipEraLBePV3p9pcuQN1vW6yJSUVqCUVFg8fZT9LRTiKR5490V7tLd7EI8zZIpT1Yc2rw168dl+H0FhiMUFxhWtF+BHZFuZU+28bXmeSNnrgPraW5a1EN6929Z2t6AD7a+Be6Gyr9jz6zDm3bkHg16PWliGpOO1DSmgfYss8TAZTOoi2IUMxEieWaUdSLUhGk6nyqquZ86KWlMRMmspnt1Cx8RqRkRtsK66NwAuoW7kA79n7O/RZCD93GVQ0vt/BToRuJsgdbaib/px3Tw8Q5gAiYQwdtvvFrb7F00WYZswZSXTYjQ7wroj9KJokksIrtu/VC2nrxMahGaIl6EA4Gs9t609YcSLuV4lwBK9UpU/J0xiOibAfVbmJoSoyfVriYgwt1noejbo+96IKOkPxLD6X1OWvhxSUMMPW5drurCoRRqP9K4d0c3hvAs/ZmG4LSuSNaD/JKrstQSdMXly0fPciMvmecowRwRSXYNrzMBIDycNIhphJISYNmQyDX91CzBdWK6ltZOozJ9h71U0i/MQmAP0A9UI4y7cMtY5ryZ5gbT4Dk5v3Ct5PtjdimTm1fqvvWUSJOQ9gAA6boTO13+Fam+TRp7Cz0+d8izJoJqXLXIReEiZKjIKnM9tqDBuN4WHg/6DiDNvJFnQfg7qevizCZ0S42GYG9hX8JQkX2Mzfvoa/VvIYmpk6NLTOhwnGeoejFp+LTYJe+y6tKhHOQ8XTu7pGKbSF1h995TR+ObrO3pfGYIyh3hi2G8NyY/g1N3/6dyz8zyepfGY58bYWmkbNxZSUgcSIJ08SSzWRaD9OftNRimr3QHs7sfbwfU2z5Nu70GfiArtsF/AkStoZ1DU7CBU3CI+T/bKUxHZquSK0eBsqNdgvMGBhDiAn7Mx7GfBZvL6Ew9F4T5+njhvDERvbcwLXdWhZQwvqIustYfq1YzeiM+Ttdp9t6Au/wfbxm4ESbCVBy9N1BLlGhMN4btvTmVlvR5NhhqBEMQ8tc+hL7EGtAoddBDOgQc8rjjc5mo4S20m8ziQ7c1nZdgJ1DdkNg8OoBx4xJsti83c/yaWmgwh53HjPeOIdF3P4okl0FFfoFx3tSEeGRFsNmDRiMsTbG4mlUzkemTiJZBsqyn63CDuMoVGEn6BlEqWohVmAXpvxeIlOB4zpO3Wo9wrsPb6F4DvRAjzVH1yxDgOEOYAuYQxHRViL9s10uEKEDd0IVfcWL6IDehwd7ZrRmf6k3mxMhKF4LiQXe+okTD8sea4H1lvynImS5xRyk+chPLftKZGnrXt9GyUbgAtFWNvHA9ABlPzcu16PEmEJnmVXhtYhHkUtzTFojDOQ7BO1cRsb/hPUtdwV9gC/MSayUXekhWm3L/Z4FgBzWXf3VCqfX0JHCZgUmLRg0gbaO8g/spu8dDOFbfV0mELS+UVQkE8ymc/JTB4lJK2tmAfUWw3lt4EPivCwMRwS4WHgr+w1ieO1/zqMXsd+aV2ilmVYvOGp/qahO0CYA+gJXkBJzGmwFqAZpk/29Y5s/eBKNHNUUBfiaHTWX8mpW2B+63I3amG9P8e6/uNoA9YB60QoImh5+l104+znWhEO4pFnT2Nca9GazDzUip4EXXbkOCUYQ1KEAwQTcHajVq2fMBNo/DiGF090ai01BF27AIgwFo1XloW/C2EFqv6Sqz4vy8K0RHweGl8dYY9rIscWTGTiinwk2c7Rh4Zy/HkvnrZqw4cYPf4FPl31MP+c/BFJoyUlb3E/bwG3cQ+zqUWJz8k9rgA+hz7fm4GH7d/D8OpFR6H3/S3UBdmvIMI4tDzIj43GsOXdOJ53EwOEOYBuYcsgXkGzZB0WiLDqDHUjWI5aFM4NfBJN/nifCI+dYmF02B17GBgjQqyn2zGGVoLk6bc8/eQ53n6usyS1GdjaFXkaQ6sI69CkH9CJQp8RpkW432kL3rXNwxMUGIsnNlANnQk+b4etXhHehyo2dRXP7gCeMKZTbi8XHGHGgBk2cWgq3rUdhF7zElLFrdRO28n414TSqzcx3VY35DfWMfPJN23LNPg7Ps3hRcPZ8pGlEIsx/rW3mPlkNTop2Wizs10T9SeB20R7habw2qPl2WMoRGOdD57LRflRsHH1W/CeF9D38YxoIJ/tGCDMAfQUb6ODhmu0Kygx/KSvYxg2u3MFXtlFEzqAVaBxvh4VjIt09okEOxBadZeTdlvHcv4497G1olbhWls+4cjTWWcOE+zHkecW1PI8STbewiPM6SKU93E9aJZ1iF7TJJ7OLCgxjbLfuThjB77rLdrm6nq8ZJlcOAE83J2mqHW5FqEEORKNWzvLJQrnFNwAACAASURBVIZa3GPQLOkdQANHFxYy+aXZJFrjpApTVGzaxJxHt5DoCJLZ2JU1nByzkoMXL+HgRYsYsreVURsh5I43hoMibEVd4+12P/PxSkzyUYtzPP0PS9Fz9+NJ+x70OwxkyQ6gR7AZjX8MLZ5A0ILrS7wJgZeyER04L7e1YD2B/9h2+KT9DpGdGn/KsOLla4zh58C/okkkeyBghQga37se+EsRPiXCYutydNupQV3Fbv3Fp3tsIRyDrAFOUOLwu1MHo+7YDF7PzHXuutnynLvpnix3Aj/siixFKBHhQrQLyM3o/cgj2GpsEmp9vmGPVWPEDRPa2PCx3ZTvTHP+T1/ivF9syiJLh5lP7GHo7h0k2vM4svBa9l6+Ikfv0RfQEqMPoKS5Cq0vzKDjZAIVZh8e8dtzEiJMJlvpaPUZKit7T2CAMAfQYxjDLrz2Sw5XW0Wdvt5XEgKuvCY0vjWB3OornbCWS9gd63CQPrYWLHmuNtrq6Zt45Om3vh153gB8VYS7RVhkydOfVLNAJFSwf3rHliHazVuP52Uqwku4MXik/zaAaN/Lz9H9ROMV4Fc2BhyACHERZohwB/BVNCN1JMGOJS47N4lev2Nkl/ukOXzR75jx+79jxLYYnuxfFOIs+PFhyne2svozB/ifly+2VnIAdlJwAPVgxNA4bxVKnga1NqegMdtzHvb5+3BocR19JI/5XsWAS3YAp4pnCJZclKFJNC+dgX0dwKvFBO2XOAW1MjeYrttijcFzN7YT7CpxCC1KPyOw2cOrgdUilKACDHNQi8nFggRP8u0GVFShGI88zidHZmovsYfscpJJqCU5DrXo3MSnFSWy14BaERaj5NbVBLsdeNyY7KQY6xpfgLo5o8pGnEDCSdT9NwiyCdfiKCrwXQUNdGoSh3uP6vOZB6SIpzeQKnyawxfdbs/1gyJBZRrrtRhjj2ESer1WoglHCbu9wcCdIvyuH5SWXEuwntag8ejTbsDwXsYAYQ7glGAMtSK8STDT9P22HCLK1XW62INXl1mLxgono4Syuovf+a3Lrf+XvfcOc+u677w/B2V6H05hp1hEsUsUKZGSqWoV22q2HEkush03uSXZ19k32U3iUEw2Xr+7jrMpG9uyY8e2LMmyJMuS1SvV2EVS7JQ4JIfDXmY4vQA47x+/cwcXGGAGGJQByPN5nnmGuANcXBSe7/l1rQm4bp8EypSiJE6ZQ9ow4rkR2GgsSUc8pxIpnk6f15mI5VeiFNvTWLoTK445E9PIAclC9hIe63UB8EPEyrg4xmPdnELilU4LQ0xy1ALz2AlxHncIiQd/APwbshGLRxCxXt92b5Tizh4VAW8DDjkJPqZk5IuIeB8jckNykXns+0g82WkyfxjJ0q5GxH4yUrv53XO1/lApLiSyjAxkMsuBMbicnMIKpmU0vEF4JBLI9+hG4NE0P49CRNIp7teIJTad8BDkIVamsRbcghkxysvUPx5GrI1oF3PGMDVrG4ANRjznmh9HPI8RFs7LgO8qxSbC2bajFnetOaNk3Je7y08VIkQ9hK3LLuR99gKfg5hJSm52IRZfn3nfZyAieRGx3aTtmFpXrTllShY+h4iqO3PX7aZ1WZVxXl+M2aND7iM1xb9H2j3epBQntB50VTuxOscVfBGyIXsGuA2x/osQK/N2ZMrLB5xjmES226IOn0Lqo897rGBaksYsjq8QGeOYqxQXuBagdOAsoPsIJ5qcRARmFmIpxJqQMIVweUQ3sa0rJ/Ena4LpxojnemC9SaZxW55TzN0mI3Gj6YgbcT8inrtHKZ4yvaSg3Uvj5goKuqbh6/PSW15JxyQvbRdAsLADEQYPYbdwrP6xGllE3wJqlWIFsokqj3HfAFK/uAVoMhsWn1LcgLjGFSJUznrkCGZMqzIVtGa7afH2IWTu5QOIGE5x3e0YEhedBPwLEnb4BLKpKEbE/T6l+Itz0Mr8COGNMIjH4Xcmp+C8xwqmZbQ4tYNud9vNSvHjNNaqueswTyCLtGNlzkA6Dm2JcrdCpHW5I871tBB/1mFWMaUmjni+AvwNEkOsQRbzbhi03mYAt5iaQUc8E0vxn/ncSUpOTmL8pno8QQ/tE8YTKC6hKuShcZuXQKGXk3OKObGwhJ7aZsRCvIChXZGctnJFSO/YeIlAh5HvyXb3NRqr8g6IyDgdIFwP6icBqzIFXkXe31nAPRCz5d9eZANzGHFNX4kISQmyKbgB+Z6lffj3WKEU8wiHPxzeOg/itQljBdMyKlx9Zr/kOtyAWIIb0vQ07mLp/YQ7DTlW5kVIrGWwKbjpeelObolwx7poQYY3J9zAIBtoTbNSvIq8Nmd2ZxuRWb0eJP44E7hVKfYhtYtxxVOtUlP5ZPkSNv9xHd31XQQLoLNBESgqRekA2jMAWlG/o5wJ7/ay9yN+Ts/tQ+oyD8NgC7QgImYfJ/b60Yn05t0SXVZiiuCvBZYT+dlC2IoNIa7Qh9NlVUZjLNzHga8g36NrEdeym17EHfsx4JfAc4jruAgR9jrgW0rxjUxdZzYxIYKPRR0+hlj4FoMtK7GMGq05xNBJBdeZhI904F5Ue6Ke6wBmsVORUz6mEy6PaGfotBVAykCQxb0uTdeaTpx+pX3IAv0Q8E9IhnJL1H09iKV0O/BfleIzSnGx6YULGLGEj1HUcYyB8hZCfk3QX4z2FoLyEfKVEfIVg+qnq2GA3ooO5j1WS+3OQuQzuAixNKcibskLiBTLICI4DwH/pDUvxhDLyUhZiuOCjWYA8SRsQoQ/oyJkyl4eQT7/BiJdss71/ArZtFwC/BTZODhdkioQt+5S8hxTgnUrkX18g4grNu83A+nEWpiWVHkZWVCdpJFipFHzc2k4d/TCuh6JLTmW11TEbXYpYZFxu5S2jxBjcuKYmXD7pcJB5JoaEPfkYq15GyngX6MUlYgVPY9Id6gXEc9ZQFAp9jH95WbuKV1EQZfUFJYdPUZfRTW7f3oZnYca0P0evNWamtv6GHdtK97+doJF0NkYZPYz49nc0E9PrR+JFUe3uDuGZLluixdTHcGqdAgisdJqxOVeEud+6eYsYXfsBUjC02lze6tpCfkUcC/wI+Bx4FvId7wQcZn/iVK8q0eYE5rjLEJKc9y8liF3eF5jBdOSEmYs0ptICy2HpUqxaaS2aAkQvcB2I7WB15nbBxDR+LDJJgURb4eR4ktOA4PhylOyjnF3ryWcVHWZUqxxXMdmKoojnlWExXOi6zRe4ELKjlzHu1+sJeT7gHF7m6k8dIrTs6HhjuM0ziuC4hL6Wjwc+ptCSsd7qG44SV/FFHqry/D2+6jb3kvz1S2IiDkzRR2X67CtBY1VeQdDW6u5OQI8ibiXnaktcUd8pZlFyOtxBpfPQZr7d2M2YFoGfb+LJMM8iFhizvivCmSzdjWRs1zzBrP5+kjU4UPAO2NwOTmPdcla0sEaIhMnPEgCUDyLIlGiH6+RhcwpdTiNLHjzgCWIZVXg+ttIvWLT0iIvQ2wj3JS8ksiNwCBaBiy/ozU/Af4ZWbilIX5Bu5fxm+rpauilq3EiB69aTtP1H6KnejK+hQ2oogJQavBt7j1VykBpHYoQoOip6WXSuh68vb2IS3wb8I9ahj/HfW+Vwq8UNyI1j/HEMoi0o/up2VjFHfGVCcx300n6OojExX1IIs8Bd00pEsdrQD6HBxFXfxD5rlUD3zANKvIK8x7cARFdpQaQZKucievnElYwLSljslSjW2ZNZ6ibJ1mGCKZxfb3uOrYfSUy5mcgC+5HcsSCZt+VpjLmmDfOeuktmRszo1ZpWrXlbax4A/pmFD26j+EwHIX/4fdDKQ6CwgmBBNUcfKGHvXQUc+JYfXw1UXiK9WlWwD29/G76+YxSfOcGEDTuR5Kno2OUQTAu9rxE/VgkSC/yx1rzpWpgTGiKdRmYRKea7kZh2CVDl3uyZz+JppCPT00hzA2fTVo6IrHuST76wFPlM3byk9aBb2hKFFUxLutjN0HrHm2L17UyCWBYmSNzMsQDOIIvXQiR26jBiur9ZrI8Q6crMJTYQ7uk6RcnYq4TQmlZu+WYTFz/4Cpc+8DRV+z8gUFRO5/gFBIobAE3j14PMeiTI5O8GKVsWwuPpRYUCVO9fx5zHf0Tpyb34+k5RfsRpQFDK0LmIwKBVeRPwxwxvVb4M/EcMd31WLUyGbkCCyKagFWnocK37j6bLzfuYMV9I5vIAEmOuAr5q3ON5gVLUIqUxbvaTvgz3cxIrmJa0YKy554mc1FGNJHuMlpiCaYTOHTM6gMQi5yCxu2NRLrXhaCFHxzaZ+kx3ok1ydaPt48tpunYKW++9luMLl9NXPh6UB0+wB0+gG0IBvKF2yi48S+DYAKefLuOSn/2Qa1f+nrm/+4DywwcJeUP4u92bnuUm7jWIy6ocLrHnMPAjrXkrjrsvaxamUjQQOR/UoRf4GfI9u8rUJbp5CfGabEPKeJxSmzLgQuDOjFxwmjEdme6AiOzyPsQVe641YkgrVjAtacNYDdGdd1YoFTFCKhmiF1/3QruXcMnIGXPfesRaTKaYPJfjmBDZ73S+eyxYLJTCoxQzleJunvn3+2i6/lZaL1hGf1kjIV8h6CCeAVnolQ7g7TtDycmtqI4OBvb1cmZWw+DJZj+1Fe+AZqDE3RjCh0nwGoVVeTLOfSDKwkxD/Hs44m08upFNnxNeuMN0BQIGS1GeBT6MZM2eQepHfUh8814jxrnOFQzdJD5vksksw2AF05JuXiNy9mIBssCMhnguWceidRY2P7JwFSJWZjLz+pwGBplcoEeN1rQQrr30IslNQ1CKWqW4HvhbYBXwFVovmAa6TBJ7nDuGggSP99H5VCu+ox9Q1ryR9tfg7OYaqqYf4fSFczhwlbh+qw90UbvnEJ2N0ZNDFirFUlK3Kt2vc4Bw/1gvpG+8mRuTnBPdzcZhg7mOtUi/Wz9wj+mv6lznLiT2HUK6GLUj38tSJB74mUxcd7owgn5t1OE9yGuxjIAVTEtaMZ1mohs1LzQlBskSVzDNc7UgrrE6xKXUi7jHol1pcTHTQLrJzQYGDmtd/17ixIWVolApLlGKrwP/C/g2EsedCPg4M6sP7QcVAG9/BxUtm5nzxM8pO7SD0y9WsPNP57D+O3fS/OJiJl27icZl0gKt6YZldIwvArxMfWs3xxa7M2KdLkN/RXyrMoC4L0eyKqPJRhxzKbETl4KY+J3ZjP0BEfwqpOese618FomZ/xqxMvsQka8w952aoWtPCdMF6+NENsXvBp62rtjEsHWYlkywCbGE3O6pm5Xip0n+xxxWMA2vAJ8y/25DrIJPmrrFeDMVo3HcsqnWjWaKXYglU4FsCG4wmb1XIa61GmJZeYGSblqnbWHBQ8cYv+Udqpq72XPrBfgm+ln69adY8d0/sPPO2Ry/OHJ8V7CgiPc+u5zl399BQde79JdrJEPUKW9xsorHwZBYcQsyNzEZoXToJjyDsRQRo7RhNhrxOvNsMw3xAbF4leI3wFcRy/FGxF2L1nSYnr9LkZIqZ6RYCfI9+qJS3J+DInQVhF3Mhmfcr9syPNbCtKQd4357PurwREaeqxhNIoIZIJww0oNkvV4IrEjieXI6jmnak+1EOhutAFYCX0fez1oi36cgUnj+EPA1bvvqfcx5agdVzUECBR6OXCqN6Sds2oavP8T83+yi5OTQmsr+0okcuGY24q7biljgF0NECc4M13M7VuXPRimWkHkLcwHxE4rWRh/QmnZkjFcQWKZUxPd3M2JZrkY2Db3IeloB3ELqJVVpRSkmMvT/xHath3RvsgyDFUxLRjBjvnZGHb5eqaRiU4kI5jyk8DyIlAR8gFiZdyVRX+l0/MkpTFLNAqX4EnA3Ei+cgVgJ0ck/bUh96n8Hvqw1D2jNQf0/z7YhPWjr2Xf9RQSKy/B3tTPzuQMAeEKw8Ndr8PaHrXFfj5eyY2W8+vde7tezkR6w0swgEmfUVQsSq3w7xYL3jGXKRjUqiGZ/vEYMpl/ys+bmLWbSiuO2fRp5/W8hHoAQ0vu3Afh6lBt3zDDtCT9O5HrfSfh1WRIkJz5QyznLixAxeqsMcQslSiKCuQBJ+DmEuFSd/qDTiWzXNxzHgUp3w/KxQimUUkxUituA/4kk8XwGcQu6ZxJWIFbNTuD/AF/Smvu1Zr3W9LnPqVfqg7RPeIGOSZdSdqSUyW/vwBsIv5flR3uZ8eIaPAOKsiOllJwqZsvn99FyZQNwP5J9fJqhY7BC5poeSqKMZzgyaWFeAHEzWIdYl260ZhMS3/QBd5v5pZgC/7eRsqajiIfDsTKvRVrv5QLXETlKDeCpVAaSn6/YGKYlY2hNm1K8Q6RILjPNqhPpJjKsYJria6eY/wAiIEVIAfZixMp8daSFwYx7Ooq4jfclcF1px5SLLEQaAyxAFveCqLu1I5uOTsSq/g7SJHxkq+4Hh+upbG5i5rOw7F96kNfqDGn2MvVNL33lR9j2qQoOXDNAx6RZhN2vFyLC7AzyVsjGZA9iFX6IoZ2eRkMmazHjWZdnSGyI+PPIxmEqIpr/aToArUE6/axHLP9i5Ds4DmnMft9YDl9WimkMfe3vaj02g9PzHSuYlkzzFhL7cmoxvUgbsYcSeOxIFqZ7UPRuxB17CyIsZxA360eQKRMj4bhlsyaYJmtxFnAZUhs3AeLWrLYTOd4sANQmIpbGDb6Cs1N62fS1h7j16weQ1+okq/QBbey78dds++z/YKhlVI9Yl0eRGHEv4oZ1Po/LlWKD1jEHMSdDRixMs7G6MM6f1yaSnKM1QaV4FEkCmgR8VCmeNsefMscOI0JfjnyOyxA3+htpeBlJYz7324n8f+S46C2jwAqmJaNoTb9SvERkF5QLlWKm1nwwwsPjCqaJSUWM8kKySZchu/sDSPboHynF86Z8ZDhaiFPjmG6Uoh6xgK9BXMfjiB0e6UMsyZeAN7TmuFJcBNxj/n6pUqxOwIK5HBGgFuB9vVJrojYGxhL5IuJWDDB0bZiJWJl/jbiI3V1ivEit7W9HuI6RyJSFGc+67CWJ+kMz7usRZGj6YqS5/3qtOaIUbyDejkbkvS5Avn/fVIr1SWRsp5MbkW5bbn4f7bK3JI6NYVqywXaGDnK+2VhYwzGchdlAOC7TD+wx2aSvmGPtSNytEWkDNhIZbWCgFMVKsVQpvg18H/h/kIW8nsj/hyEkpvp7c5+va81vXbMJ9xKOJRYjbtxhnxexXgFeibamlKJAKT4KfAFZXHsZ6qIMIW7uAGJFxRr9NG+UtbZu3IKZFgvTvP542dmbkp1jqTVHkc8G5Ds8zfz7NWQTchRxmSvE0ryYxGPpaUMpZiLuczdrTTKeZZRYwbRkHFefWfdiPQ5xRQ7HcILpti73uKys3Yh7FcTKBLhzpJZyphatl6HJEaPGtKmboRT3AP8I/A1wGzCFoZ1sOpA42N8jCTz/pDU7oyfeGxfsetehy0cQ+Sswcd3oxdIs9l9n6OdwAln4QWKVG5ENRR1itbwNMWv3bkpxw+H2AqTLwryUSGvYIfp9TBit2Ya8Bx4kTl5lvn+PIAMI2pHNhTP+62tOolA2MJuE26MOnya8mbSMEiuYlqygNUeQ2jU3V48wRzCmYJpF2R2/HOwda8TZaczegdTI1RBubjAcaanHVIoapbgO+Dvgu8BXkCHPlVF37Ueskp8iwvWXWvNaAoXkm81jQSzU6BFNznWUIu5YcC2WMazKWOxGhHILkZbfUqS0JbqbE8h7l3CXpRik1cI0Hox4m7KdKfZOfQWJmZcg7fP8WtMEPIOIk3v811xk8HS2+Ih5XgcN/G4sk4/OFaxgWrLJKxARPylCUt7jEf39dCzMSYTFp4eoeJzWNCMLPoStzNujp2zEYNSCaUToYqX4JvAD4C+Q7NEGIluRaWRY8bPA/wt8TWse1JqWRDvDmHiYO/YWL0a3ArFy9po2gsNZlW6agX9DXMexFtnbERft8Rh/+7Aa/Ui3Phi0qP2mfjAV5hI/iWrYUpKRMJb+40hyWSPy/VLA75AQRCfy3vnMNXzRJB9lFKWYy1A3/VvO529JDSuYlqxhEm9ejzq8WMWf8xjPJet2x+6KdlsaXkbcbp2IQJUhFtVwHCIJwTQ1k1OV4k7E5Xo/8EfANBhS09kJvAt8D/iK1vwvrdmawq7fPcVkllLURF1bBeEkplcTtCoDSAblf2rNaVPMH6tcpAgphH8pxt+qCFu1SWE2DGlJ/BmhUcGhdAiI6Zv8CGLtzweuNMf+FXFldyDf2XLEKr8r1eccDhN2uCXq8HGkG5ElDVjBtGSb9UT2H1XAR+LEvoYIpume4nb7xRzlZQrp3zU3D5jfH1Fq2BjlcaB6pG5ESlGhFCuQpgLfA76BiHj0AOEB89y/BL4F/LnWvKA1bcOdPxFMHaszlUUxVKSuRqybHUhy0DcY2ar8odasiSpV2UDYWnczxfzEynRe4Z7wkSTpKi2ZTPzB4ClZl27MSLsnzM3rlWIW4jJ/BomJ9yMehkrg06ZFXdox/39uIfI9CyKu2EDsR1mSxQqmJasYazC6DmwKsWNfsSzMCwhbHh1I2UU8ViOi1YUkshQBXx7h2o4RY6FVCp9SzFeKryCddf4K6eYynqEu19OI9fVXwH1a8zOtOZCBZtzuhf9iR+iNtXkJ8v/bB3yeoWLuMIAkZP1nrGYS5pp/jySyRLMCEdPo11WElMyMhnSVlsSzLs8i5UdpQ2t2I1myCimfqkHc8qcQz4JGhGwK8PkMZWIvRBrju3k9Xss/y+iwgmnJOlrzPkNnVt4YI2YVSzDdyT47hivc15oOwiUQB83jrx9hlz/oljUu1wmmTd3/RjJYP43UTkb3qe1GrN0fICL5D1qzIcM1b00w2Oi8EBFJELGqQYR/uCbgzUgP2LUjvI89SLwuWhgVYsnGauC9ZARrPh4pW5hKUYXMRY3FuhT73cbjDUSIi5A62S7gXxArzxn/VYmUOE1P5xOb2PxHog63IJm8ljRiBdMyVjwPEbHHCiRJxk20YHqIXAi3J/A87yCLVxciLn6kW0s8WoCZSrEcaWT+feBPETGqjrqmACKwDwN/BvyZ1jydpr6qI2KsP3cs8zLTHPwTiMURb2qIY1X+PMEWhWjNQYbGn0Hic+UwpJ7RA9yQyLmjSIeFeTmxh1r3E3bTpxXzWTyJeDLqkM/gQcQC70Hi6cWIR+Kr6bIyzXluIzJmPgA8maGNwXmNFUzLmGAW6nVRh6801oFD9KIynfDC0IoU0Y/0PM4IJpB4ogY+pFTkLl8pvEoxG7GYvob0ab0RaVfnzvrUSGbkaiSGeZ/W/Fhr3h+jBeo9GOwiMx2xaiYhdZSxusscRGKVCbWEi+JNwvFgN1OJPbtytquwP1FSsjCNW3pxnD9vzmTHHfNdewQRSOe79LeIgLnHf91IauU3bpYgCUVuXs7Wpu18wwqmZSx5g8gF0kekVRItmHNd/96exIK/CYkrdiMWgBcprUAp6pTiZiR557vIGK0ahpYj9CAut38FvqE1K7XmnbGe+GA61byH9Eq9DLHAQwyN7Q4AzyGxylENZjYbgieQ9yKaeJNAkm1mkKqFeQlDm0IAQ6zxjGDe28fM812FbOxeRbwRjpVZj7TMG6nT1bCYWPWNUYcPMMqGDJaRsYJpGTPMbv/lqMPzXFaJe6F1GpU7JOKOdZ7H3TLvgDnvtUrxfSSB58+RgnxnGHMfYskGkWbjj5v7fEtrnsilRApjKS9CXH1VyIJ8ikgXqWNVrks18UjLUOUnY10K8p5Fi8B4RmjfF8WoLUyTQR2vpGXPaDcKyaI1+wiX3NyB1LS2I1amQjZjK0ihd7F5rXcQ2cWoD3HFpju5zGKwgmkZa7YgouTmI2ZBcAtmLWHX6AlXb9VE2YUsWDORZJgLkO4/ExnaOu0UklDzd4jL9V9jtakbS5SiUCluAT6HWFRdiMCECCfnpGxVxkJr9hDbWovXWvD6JJoQpGJhziZ+jWnaSkkSZA1i+RcgGbu/RT6bIPJ51QLfUmrICLdEWYZk3bpJS8mSJT52WollTNEarRTPIRMgHBqoPHA51U21lJ4ow9fjo3P8NAZKdnF0cSsDZQlbl0pRjcS0PoxYYnMQK8iDCEw5Up7Si2SNvorUFi7ROjcLvo1VeTuRrfYcQWpHkk5eBX6bQavqJSR22Rh1vA9xz7o3NBUkPuYqlRhmvFKSowxffpR2zPf6aWQDMQFJDjuMiFwx8p4sRdy20V6WYTHTbqIbuu9laOtJS5qxgmkZc7TmkFK8ByyksrmIqa+PY9Lab6M9xYT8AYJ+DyUnx1PV3Mucx6cw9c031arNVXqljrmbNrv2OUh5xVJkAXcEpQdZiPuR3X8lkuX6ItI1aMDElm5SisJcGoVkElpuZOgUimrEaulBYmb7kF6pGXNBak1AKR5DMo7dVlIbUg/YTmSs80NKBoeP1Cd3VBamUkxABDwWo0lwShnzXfoN8h7VIrWan0Y+K6cx+zeUSjwWbr6bHyfS9d0DPG1dsZnHumQtucLLTH6rlCv+91zGv1tHx8QAJ+aX0Dm+m7NT/XSND3J2ajvBgkNM2DwZuEutUoMLpKmZnKIUn0Tikv8DWVgmEelybUWsyQOI1XEUyZ58z2lT52pgMCELrzshlGIG0q0nWiwh3Hz9bcRVehhYmmpSyUiYTMxnY/ypGdmwuNeXAqTRw0g4JRgAhUn0pY1nXXaSRLw73ZgG779BXLHdiKXptEMsRzpE3ZzEKVfAkFaSz5iaY0uGsYJpyQ3uV9Vc9x0v3eN66JzQRcivCZTUEvQXESgypSYaqpr3I5muZ4CPqS9cM9e0qVuF9HP9BpJNGz1OqQ+xvH6M1FY+hwxEDgKfixFLSsvkklQxscpbgXsZOu0ExHIpReJlfwKDdZUVxC/eTydbzXO76Ubc3NEF+ouNOzEuxkpyW6YjumVN39z5cf68fqxjz2YYwHPI+tAozAAAIABJREFU69qDuJ2DyEauCqnLjNeJaRBjRV8VdXiH1mO3ITjfsC5Zy5ijVqkq4CbWrK6keet19J2toXLmQab8dSe9lZMI+Yo4+UI1u566hUDHx3mBnVx5+WMEr5xKoPizlJzopbs+1uYvBIM9ZV9GSlF6zWzCP0UszEYkrnQz8JTrsYeIP3g4Kxir8jZiC6VDBdLv9Umt6VGKjUj9H0jGaEYXUxOrewbZXLgbwB8wz99KWMQV4lJ+cITTdhF2x5YQuy2fm6XE3vwHkBFlY47WbFSKRsTSno+8Pi8yFOBCxBvy83iPN5b2x4l8nZ1Iz1pLlrAWpiUXmAMEKdXHmVn5ONUXNclhpQgU19K+o5oTTzYy9xPPc8NXf4BvUQ2rj/83jl98BX0VNTRuiRaUdiT79vtIzeT3tGajU7Ru3FdrEKvzKLKQ36Mih0y3AJMy1PdzWIxVeRvxrUqQGOwuZMzWCcLCsIFwB6XJmWr27cbEeR8jsnPTALIhuYjIGOdMsxEYjoTjmCb7Nl55xtaxrpON4jkkoWwLEhYIIUZLJdJjNl4tK8gYvLqoY0/n2Os757GCaRlT1CpViHQ9Oc3trOETzc/gD4WTVULeIs5uq6V8WR9cO5NjV36Mhs/30HOgnN7DBXTVDTB+cxm+HmcyyK+A/wp8W2ueHabjydvIwtyMLFwTcE2pN/WGAeKXKWQEpZiJuJXjdasBeZ0/gkH35mpnIoVJqnH3dh3VqK1k0TIg/JWow4cREZ1DZInQjaZsKB7JZMouYmhfX4dsl5IMi3ENP4oI5jHCscxSJA796ViPU4qpSJaxm82mvMeSRaxL1jLWTEK+h2KdeELgPXQMJtaB8hLylUNBIToEgaJxqNAA2qy1PQcLKBt3ksqDZ1j8k1+w/k+fS3THrTV9SrEaaVp9xFzHbUrxvKu/qtOIPeMF70pRhLgrhxPKfqScYyPiLq4117Yl6n5rCTcLmKcUL2UpKWQNErecaW6HkHrWuYjb2yntaECuP15f14QszBFmXn6gddxeumOG1nQqxa+RJhwNiPXtBSrw9dylbvn2Bpb+qNcc7+fspE4KdnyU/gr3huMsQyf+WLKAtTAtY0010Y27PV29qPZ2CAXwBLspXazpeMdDd3MpgWApx39XLwZLWw9lx/ZSeuIg5UcqgPFKUZ6EG3UjEmNzrMwGpGm2QwsyVzGjJGhV7ke69WxAFthrzPHXo5NajLV3yNz0kkJHmWQwCTu/g4jSkROIi3wake7l64Yp2k/UwpxJ7EYJkGPWpRvz+fwQJ2O2qFUx6e1SFv90NiHvfyOkFiKCupBji77Ftd+5hgW/mkRls9NH+feZ7IlriY+1MC1jTQHEyGJUfQOEfNUEC6opudjDuHsCtHy/glCXZtzSfXh80ynxHSZYUETbtGpOzS4hXIfXrRQnkOL5wd+m7+ogWhNUileATxK2Mm9Siue0pgURzGTauiVFslalq85uMSI+J4mf1LOWsNgvUYo3szFIWGu6lOIJJP7qbFw+QK55DrJJCSDJLlcitYnRJBrDjGddnkQyonMWrdmsFA9Q9cHfMePlQrTXQ8f4QrprL6JuVwHTXz3MwRWNNF9Vg2egiwmb6pi0vp4DK57QO+9qGuvrP1+xFqZlrHEm0kcRDOLra0PpIKCpubmbuf/fVpb97W9pmPc+OuShYqo0LvAEPQyUuMWgBLFoLgduRYZG/5VS/JlSfEoprlOKeUpRh5SWHEGszCBisdxlrNSjwLgU2pfFRSlmkZhV+e9mrqY2j/MTLi14dZgJKbsJZ5eWEr/sIu1oTRPwlutQOyJiRUTO57zClIREM6KFacpT4iUPjUmjgqT5b5UvsOhXJ+mp6qezQRHyFxAsqGLPbTfTXVvAvg9L/Dnk13RO6GKg+CR33lvurj+2ZBdrYVrGmlacLMo+PPTjReNBD4TQPQPosn40fvr3dVFWehz19jE+eGsFdfN3UFAhSROefi+djYm4qKrNj3vRDiC9V6cjSRhlSFnGM1qzRymOIwlBB9LxYo1VeRPhYc+x6Ec6D22KsfBfZq7xCCKKMTHW83qkJSDAMqXYmkUheR1JZHFqWZuQmGsd8n4eQeoQr2NoM/dELMx41mU3Q+tCcw61SlXxDP/AB9+roDdUTPkKTeN/8aB9JXQ1LOKxS8tp+cESBrpK8Jd2M+maLVx/5D/x9XcAN6lV6tF4na4smcMKpmWsaUFEy8uD3MUhPiWHe6D1m1D78W6qP6lo+bdx7D9+I57Achp5mS+ceZDeEwW0TqshWDSN1+dvJLwgJ9roG8L/B/yINVOHxDL/WSkeRbqqXK8ULyJu3VG3yjNW5a0MHR3mpgl4KlYTbdMazxmy/WoC4rcJEX8/4XrTrPRUNYL9GDJbtAgp2j+MuIlnIokrXcAipVinNUddDx/WwlSKUuK7yjc6HZtynDmU0cqc/l+wf8GnCYYmAx60p4Ce9hqaXpnGjE+spuHSIxzfMIGmJ64goH+ClEIFkU1fxseVWSKxgmkZU/RK3adWqR3AXL7Ew0hfVwh54Nl//RO6x80jWNTAzH86Q/GZnXz4v/8bxa2yIPqP9lJ+NAA8qbtr18Hg2KNqpOSiwfW7hqHzNd00mft0IPHBqYhLN4iULkw2528jKjYKnB6um0warEqH5UgJRTMJxOhMI4P3CLfTW0YWm5BrTZtSPAXcZQ45jSL8SObsJiTZ6kal+KXrdY9kYS4h9toVROpQcxLz3Sxk5nOVfHT6Fcxp3EZfhZcje1rormhAUYDGy8DZUrylmuprA6gOmDJ3Fwcev4QDNDKVs0gjiAVqldqsV+r+EZ7WkkasYFpygV1IT81CMBacJwT+nrOokLhMtacQ7S2gfVIpxa2O9VWIxD8H69FMTO+0+dnlHDexP8d6dIup06ygC6mN8yJt9YqRovt1hMskQFqZVRHp1g0qxSkihfQ4Ir4zScGqdF1/CeFavFeScK2uIyyYFylFVTZHQGnNTqXYZK4hgIjmTEQIZyJTNi5AskL3moe5W+MVK4XHidWajjdL4zzd9kyXzwyKnnw/ihHr2f27AvmeVSMbsEpzrBz5rhVxdlIFG++rpW2aD+0tpv/hMjjjRSvZ0BXO8lIwMcTx3fOY1HCC0z/qQzHAwsGwQBBZuyeT48lN5xpWMC1jjl6p29Qq9QLwMURwRDQLOttQoQHQoD1eQp4CuupKkYkYhYjgPZNILMe46Y4QNXvTuPccAd2FzMgsQxa7emTx08iCGC9O6jWPd3dq8SEu0ApEjN0/ToJSP1JP924CAngl8pr3aZ24lag1J5SiCYnRKiQG+mKij08TzyOLez3ilp2IiMsE5LM8gViZ+7QmaNy5PYQbEpQQLlWZDxEdmdwkVEpiRK+IoWIXLXo1iPANFT35LJyfAsRq9iPfBYUkVHpc/3Z+e/F3++ip8RAoMh4Pr4pwfiiPpvLKTlr+fRyHAnejCLCE71EdEQ4YgJH7z1rSixVMS06gV+qDapV6BnFdBoHTFLWdEcEkhFY+tNdPb0U5svB6EbFMycWoNV1INup+YK1SnEZqHD+ELNQFwPuEBzMnUuNZi/QHLTS3oxe2XsSqfAERzXqlOBXPrWt6315mbr6a0AuLZC3hRuiLleL16BKbTGLGXDmjwHyIVeRk7V6IZNGOQzKGHZdqN1GCGdWoQJlzOT/HgFrTCrAYec9rGSp6FYh164heEfIZJyN6zvNH/8DQ74f7sfI3bwBCvhh3NXRtVZx4qIx5d/6OWx/7FRuCM3idv6GW+1nGfnMvZxC1JYtYwbTkDEY0H0XcnQtoeM9Hx3hNT41GhbyUnCxFMRkZRLwnQ1mCbyHuwwNIaUoJhW1buPDp03z0T3dwfEE9J+aXc3ipn90fV/RV1RKejOJD3IzRQ5XdOG7JE0hM04lrOm7d6PrRdkS8/cBurTk8itf0PtIRqAYRiEVkOdZnLN3ngVuQhvhtiKgVmOvZBdypFEFEYJz5liXAnxhn5RRz30Lk/XALZidwH5kTvbgvLcaxSIGMPkewANQwA1T69kPJ7H7qpx+lMBjiQ7zPBvayl4tdgumF3JnVer5gBdOSUxgRXKdWqc00XX8DRxZfTqhgMoGiAgaKu9nwrZ36kcqMZQeaaSZvAOWUnJhG4+apTH2jlvLjxyhug2lvBpn2phd+WABfDABvs+VzB3nyFxcBdyCWaDvhaRRuziDx1lgLndutu8B9SUgbuW5gjekrejyZTi9mosg6pA0gwOVKRTRCGDUJuDcdS6/W/HsJknlcgliVjqA5CVb3IpuKckRMFZLpq81txzSLFrFK0id62vU7+gfC3oYQ8rm5f4YTX3l8TxX4+jQ6AARCEPCgg4pQHyivpmRKN62PFMIB6da0hul0Mpc5EZNJ/JC9WLRFsIJpyUn0St2v7mc7UvDu9NaE+K3Q0skGpr5+M9Nf8tNXWULb1ABnpzYw/5EzFHS5TQMvfWWXUNDxOSau6ePw8lakrtShCIl5+RE3ZBciHMk0DLmIcPvA5eYHpWgnnFzkWKNx3bpIv9nrEOtsHFL0/4E510ii5ySwOKJXhQia273puDhHcm86STPu2w6OKIWi/lZgjscbiB1L+JMRPee38+8gEiMcQN73PvMzYK69xLz+EiKt1ejXEX09IWCA9sl9eIKa1v/wcOqZcHP/jtUw7uM9TL5lB55xLbx16L/wOlV4aWcqv+XmwZ7BXmRTcQhLVrGCacll2hCx7EUW6UIYdgRSerhfTeTIYi+77zhKV0MJ2lOMChXw/s3Tmff4+4P3a7qukQPXLEGFyrj4l2XAXg4vP+s6Uy/Suu5prTkLg1me4xiarRsri7YYce9qhjZOcOJxs8xtBXiU4ixi4Tp1jk6SUbV53vnI+7hcKY4yOtFL1b0Z7++KSKGJFr1QjL87A6ejRS9gfqJFrw/5XDqRLGbnvWpFPACnzO1eRDhnISUwixAXfTWyCXLcwvEEE3MtAfOcneb8TQSL1lPR0sGtbQ1s+cn19FVOJ1g4DhXso6BzP9V7NnHr4efx8AtiUwtssyUl2ccKpiWX6UBckU6ZQQFQqRQFmUpaGRxm3bh5Cx98pBp/dxW9BY0c+uk0dmz7ex5DUaiOc8GH1lFzk9OWLkhnYycLH5pB58SdnJ3SiyySLyBjmAYXedPP9Zj5CT+vohgRz8lId5wJSHyzDFlo6wiXMjjWnztbMzqm57gIHZFzEpYcS10THi/liB+kP6YXz9LzELYYPQwVGadlYgj5/L2IgAUJi2E/0vhiN7FFrwcRvujfvbFaCprSo0uQxKJlSEKSE6N2NhLR7437tbmvvdNcQxMSL94ArBncON12egIty34Bqp5gQQ3oEL6eYxS1NbPoF6vxxOt4OLSUypI9rGBachatCZms1X5kQSpBRKIKcUNmAhlm7dF9TF29mT231dJbXoe/NsjMv25mxvuPs+fklex+/k4WXfospeOlK02gOEjIq5nyRi3bPrsGyWYdAGaYxgWOyLndm9ElC25Lzyl38SECeilhIXS7K2Mt4PGst+hjjqsTYlt20bdH4950i9sAkZZejXlNFVH3PYK/q4W6HX7KjnnxdwUIFgXprO/i+MWtDJT2m/uFgH8ebV2pUniRjkGOQM5BPpcKwtmzsd5f93vhWJDdiEfkIDK2bB3wjmtUXCRP//QGxu0sYcaLE+gr94I6jb/nFDNefJ7Klp6Yj0mylMqSfqxgWnIdpy7TSfooQkQm7YLpGmYtQ6envnWclmWH6S+rZfw9BQSKJtA8+R4quk9QsL6f0x0LCC3uRnv8aI+fsxO8lB8dwNs7m2DRfYzOvekszD7ClpfT7SaeezPW36Jxi577viHXcbelFHT9OGIXLXqOJe24Nx138BnE2jtpbsez9HxI67yZiDUHJSd9NG4qZepbk/H1BVHBs/TUjqfk1HE8/eXMe7SeI0tO0Hz1Kc5O2ZSMWJqylLmIOC5HPus6IgUyVoar+/1xxL/bvN4WwgK5JqrFX7zrmAfczqm54xko8jPr2T4KulopPbWRWc8eiPEQLyLkaSmlsoweK5iWXOcoYcH0E7YwM0HkMGuAmS9sYeu9E+gvbUD7iumvmEl3YDr9rQV4L55EX0XYGlM6SKDIQ2XzBM5c6AjTaN2bjgUZdN3HbdXFs/Siz6tcf3OE0O2WdeKc/ebHEUFH1Lpct48jn8dRJOGkBWgdZmLKiCjF74DPAhOp3VnDnN/XEPJqzkz3gSdAQWc3A6U+Qn5pl+cZUIOjrrTnSfjn4c6tkBjkckQkFyAWWiVi8ScikM6GwRHIo0gC1VpkKkpS4qUUZUj5yxRgPGenB9lxz/tMe30vK763C09oIrIpCSIC6UdEehuZK6WyJIgVTEuu4whmCFk8CpHddiYYOsy6YVsblc1N9JfWMlA6kWComKP/5KPiWk3BFK+x10SwtPISLILCtpHcm8O5ODXh0gnHqovl3nR+3JZeB+HYmWPpnUEWex/h7M7ZiCtSm7+tiXGdsfAgXXomEh5K3RFj9ujJRGdvas37SvEOjZumcuEzs+hs7CdQLO9B0F+F9hahQuHPxBl1VXa0jeX/Z7Fa9S9H3RaXUkwDrkAaPVyMlLC4BdJd+hFxKUQKZA/yPp4Atpr3aA2wf7TlOEbA70KEe4a5lsP0jNvPrk/+PXf/0R4khu0kuPUhbt5DNsEnN7CCacl1WolM6S9EFsFMEHuY9eyn3qOzcSJBbzHvP3gl+KD+Po0iBNpYV1oWXK3A3+u4MuPF9NwlC9GiF0QSfrqA1Yhb00lkiefe7AH6ErX0THLLnyMbj1Kky1E/knRUmeB75VBuftyzKUNKcYahTepbY4rNfZds5Niiz3JkSSuBYplOsu3LF4EyVrYOoQcWUTvvfS66dxMA43bvAE5wZvrdqn77UU7OX4h0CpqACI4jkPHqNt3uZ0cgO8y1bkfEcT2wK40j0eYjfYWnIe97F5L9/BSwXa/UGtsbNqexgmnJdZzSkgHCWaHDddJJhdjDrKuau2ncuJWXdq4g6Asx+W/78OpeVG8fSg+gQgFUaAAVGqDkJJydfBxxWbab628jvui5/90HfAFx172uNa9n4kWaVnUbkQ5CXebYQ4AzWaWeodNeipJ4Cg9SwjIOiRM69CvFSaKF9P4tF1J6bAMn5hfSV3ERKMWCn+5koHQSWvnh7Bn2fGU84xY1E/QVEigqp+n6q9l+90yK2hooavUTjhUnKpC9iECeRIaIr0XikNuHmzwzWkx7w68in20jsjHah7haH82LgdcWK5iWnMddi1lJZmsxw8Oso3l147309VWy+HM/p+6ZJgo6eyno7sff3U9BRz+FHf0UtfVT1FqPJ/SiXqmTthSUYiayoDpu0kyyAXFdeoBpStGg9WAHoWbz41yXQqzI6NrROuI3E4hFAWGXrjnS7mXD12YTKDxCUdtJusfNIOQrQax1LyhF26YGfBUaz61zafObBCjlQysffRVe6nYqjlwGwYjWqm4Xt2PFtyNTbPZgYpBI2U/aBdKNef/uRizM6ch71oJsqn5s+hlb8gArmJZcx22RgSy61UrhSzROlgThYdZu1+wu6jjdcgnKE+Kdf7wXJ943n//Lnax2Pd6LWMJJd2Axi+p15ubbqQyqTgStOasUuwhbgMuA38e5r0Y+h3akLy0wWJZRy1BrNPGkrMbNFYQ8JXROqAfAE+hloHSijHNTfvD4ObvaS8UNmlBxPRpPOGaMQnvAE4SKgyFaL3QE0snk7UAE8gPEelyLzBvNdg/WhUgP3QuQutpOxBX7O63ZkeVrsaSAFUxLTmNGPZ0hnCnr1DNWQpwat9E+l3uYtbtsZfyULq785sN4Bvq55v4n8Abiuc9S6cByERJ/60RiZ9lgLWHBXKAULydj7RjL7IT52e4cV2qwXjBaSIuHnKT8aBGhgvDGp7j1EIHiWgJFMlat/4SiZwc0/glovIBGo1Ail1Kt6w1SfKaP1kHXdxMikOuA9VoTr64x4yhFBeKKnYy8BwOIgL8HPDZW12UZHVYwLfnAccLNC5yRTFWkWTANQ4dZn5wr/WuLW08NI5aj7sBierk61uUbZnZnNmhB5oNOQNaCS5FJMClhLLhDuCxtY0GXEW4wLyLq7x5PyOsuzQlRcnI37ZNqUTpAx0uK4jlF+Bv04N/RQYkdB3vxBjopbm2lfucGjiz7LbAu00OkE8W85k8hmxInK/YQ4u7+sdZ0j+HlWUaBFUxLPnAMccm6mxdkpBYz5jDrs1PqACg7ejLOw1LtwDIfiQeeRYrgs4KZYrIW+IQ5tFQp3s5ETM+4dTvMzwfOcfWdry+ls345p+YF6Wysoqemkt7KKrrHnSTkK+Hsyw3UfCqA0hoV6sXb14q/5wQlJz+gpmkv01/aRU1TKbBFb/7ipnRfd4pcAnwUccWWIq99P/CE1uwaywuzjA4rmJZ8wF2L6UMEqiZTTzZkmHVPlSQZVTdFC2bKHVhMHPAac/P1DMRlR2IHcCNi/ZUj7uhtWXt2X/8Zqlr6qWo5jCvRiLf+oovmM5cSaJ9E3fxdeNo91O5dzUVPrqFhe/SmpIocG3WlFJXAV5AkLscVuw+p6XxiDC/NkgLJjBmyWMYKJ4YZIDweKlO1mICIJvAoHY178fdOoPJAGY2bfYSTXCYiZRPbgUdTaFd2MSL+p5HFNKsYa9I9TPryLF+CO9EqjPZ4Ofn2eCqmHaKyfRvlR7cy/eWNMcQy50ZdGVfsZ5DetBcg39nDSJ/ZB8YypmpJDWthWvIBp7Skn3AMM1O1mIPolbpNKY7i73yPaa91cdkPN5HGDixm1NfV5uZrqbSYS5FNwFWI+ExSikla05KNJ46baBXy+Zj7hQ0Rdy7oihXbzcVRV0uAmwm7YtsRsXxMaztlJJ+xgmnJBxzB7EMaZReQjbmYwlQGyoK8f+smvVKnO0a2BHk9x2Hsygu0plMptiHWLoiVmRXBNAxNtAr5hq5N/u5od3XOjbpSimrgy0Rmxe5DYtNPjuGlWdKAdcla8gFnoG8P0sGlEKgx8b9MM8X8bh72XkmiFAXACnPz1Rzo9LLO9e95phwiK5hEqRcQV7d0H9DekQTTSbR6IVcakke5Ymcw1BXbO8zDLXmAFUxLzmMSYc4QbozuzJfM6KJuXKZOV5p0x8guR9x1h4G9aT530pixVE4c1kO4uXp2nl9iwM8g8dx60EM7LhV0OrHOenO/XBt1dTmSKHYB8v1sRxoU/FbrcGawJX+xgmnJF5y5mCHCQ5YzNebLYTwStjiZzpo506/1SnPzlRywLh3cVuYSs2HIGoOJVoGCHRSfqqDiYAVlR0spOVFM2ZES/J0NpCfRKu0oRQ3wJcQVW0ekKzZmByVL/mFjmJZ84RjZm4vpkBF3LDKfsQixPvan+dypsBtxf1cio8AWAJuzeQEm0WoL/s6tjN9UQdmxIvzdPoKF3Xj0S+TgqCvjir0X6dY0HTFEmhGL/cdj0IrPkiGsYFryhehB0oXI/MpMknbBVIpSRDAhN2KXg2hNSCnWAzeYQ8uUYssYXGMhA2VBmq9udR3r0Ns+naujr5Yj75njim1DxPI3WtM0lhdmSS/WJWvJF04TnouZ8VpMYzVMNjfTaWFeiWT5vq912i3XdPAuDLbma0BmN2abWBNjcsqqdFCKWuCLDHXFbgT+MIaXZskAVjAt+YJ7LqaTKZvJ5gXjELdkB2nqImNmIl5mbr6ajnOmG1NU726gkO1GBhBbMHPOrWl6AH8emI1Yl4qwK/YB64o997CCackX3M0LHMGsz+DzDbpj0+iSvAoJg+w0Wam5ijv5Z7apLcwm+WJhXglcj8QtHVdsM/Cw1jkVm7akCSuYlnzBqcXsRgSzAKg1u/xMkNb4pRGdS5EY7GvpOGem0JqThBukK8JWcbYojHEspwRTKeqAP0ZcseOQ62tCRrM9O4aXZskgVjAteYHW9CM7eGfhLEZcpuUZesp0J/xcjfx/e88IUq7jtjIXmxmX2SKnXbJmk/YF4ELCrthDSMbzT8x31XIOYgXTkk9kpRbTxBqrzXMdT8P5xgGLkOtener5ssQHhOeNFiLXny1y3SW7ArgWEcsiwlmxv9aanKkNtaQfK5iWfMJdi5nJuZiOddmSpobo1yJWyGatOZOG82UcE7d1W5mXm8zhbJCzgqkU9Qx1xe5D3qsXxvDSLFnACqYln3DXYjpzMTMpmCm7Y5WiEZiHjKDKF+vSYQsM9j+tBWZm6XlzMoZpehf/MfI+TDOHmwm7YmNNU7GcQ1jBtOQTp4ici5mpMV/pjF9eZ35v1Jr2NJwva5hYnLvTz7IsPXWuxjCvNj/TiXTFPqh17szjtGQOK5iWfMJdWpKR5gUmuaURiTceTvFck5DEkH7gzdSvbkxYD4NlNTNMdmimyTmXrPEUfAHZTNUiAr4PWAO8OHZXZskmVjAt+USs5gXpnos5yZz7aBqyHa83v9dpTVeK5xoTtKaVyHmT2WhkkFOCaVyxX0RGdk01h5uRMpKfmmk6lvMAK5iWfCJ6LmYBUJfmZJS0uGOV4gIki7IXeCfVixpj1rr+vUgpijP8fLkWw7wOyYx1XLGtyPfjQa1T80JY8gsrmJa8wQzgbSeciOLUYpal8WlSFkwj4E7s8h3Tbi6fOUi4vMYPLM7w8+VMDFMpxgOfQ7Jia8x1NAFvAy+PxTVZxg4rmJZ84wRibYQQSyRtpSXG9TbJ3EzFwpyFLLDdRJZm5CWmxMRtZV6WwQ5LkCMuWTMP9MuIK3aaOXwAiV1aV+x5iBVMS76RyVrMRsSCOj3amGOUdfnmOdSAexsMDtGuRGY/Zopcccl+GOkXOx25pjNIR59f5ngvYEuGsIJpyTei52KmUzDTEb+ciwhvBzLi6ZzAWFPu15PJ5J8xd8kqxURkKPQUpOtTL+KKfZMcnTRjyTxWMC35xklk8Qwi398C0pcpm5JgGjfltebm6nOwkH2YDLnFAAARcUlEQVQDDHY+mmrie5lgTF2yxhX7FSRpy/lOHETaBf5Ma4LZuhZLbmEF05JvuEtLnOYFKS/cxpWaqoW5EGmX1kpkwf85gdZ0ADtch9JuZZrPYaxjmDciTRpmIK7Y08h34j+15lgWr8OSY1jBtOQbjmD2kd5azBqgFOiC5Pu9moSha8zN189hK8SdxLRAqbRmKIO42aPLhAJp6uk7IkoxGfgsUm9ZRdgVuxp4IxvXYMldrGBa8g2nFrOX9NZipjow+hJkgT2JJMick2hNC9BibnqRGZ/pZMzil0rhZ6gr9gDiiv35ObwJsiSIFUxLvtGDJNQ4i2gRUodZkuJ5R+2ONQvt1ebma9myhsYQt5W51FjX6WIs3bE3I27mGeY6TiFZsT/XmhNZugZLDmMF05JXGOvPSfzRpG8uZirxyyXIIOtjwK4UryMf2IlsWkA2K/PSeO4xEUylmAp8mkhX7H7gNfK3D7AlzVjBtOQj7lrMlJsXKEUp0lB7wJw7mccWIm3TAF4dpTs3rzCuyQ2uQ8vS2J4w6zWYSlFA2BU7Gfle7Qf2Iok+57rHwJIgVjAt+YgjmCFkLmaqFqZ7YHSycarLEXfwIeD9FK4h39gEg51uJhDukJQqYxHD/BhwGbFdsScz/NyWPMIKpiUfOU5YML2IVVKfwvnctXYJY5qQX2FunhfWpYPphORObkrXrMysumRNk/x7kO9AJRIjbwJeQfrFWiyDWMG05CPRtZipzsUcbfzyCsS6bdKa/Sk8f77i7i87Rykq03DOrLlkjTv9q0jccgphV+we4BfWFWuJxgqmJR+JVYvZOJoTmfjVeJIcGG3ino5VdV62StOa40jZBchasjQNp82mS/YWJGFrBlL/eRJxxf5Ma05n6DkteYwVTEs+ks5azInI/4NjSTZKX4EssntMbeL5itvKvNSU2KRCVlyySjEDuBuxLh1X7H7gJWBNup/Pcm5gBdOSj3SZH2cuZhFS1lE0inMl7Y5VigrEMgEpOzif2Yu0AgSZT7owxfNlXDCjXLGTEO9CE7Ab+NX5FIu2JIcVTEve4arF7Cf1WszRxC+vRrJzd5zvvUVNnG+969DlKZaYZCOGeTsyBDvaFfsfWiffFtFy/mAF05KvpFyLaaaLTDY3DyX4mBqkDZ7GWpcOmwmLWj1SzzhaMhrDVIpZwB8hA6ErCLtiX+AcGPZtySxWMC35yjHEJRti9HMxG5AF+oyZxJEI1yD/b7Zqzakkn++cRGt6gS2uQ6lMMcmYS9aUATmu2InId2cf0p3pQeuKtYyEFUxLvnIMWUidWswCZLRWMiTljlWKemABMovz9SSf61zH7Za90FjioyGTMczbEe+A44o9jngWfqI1bWl6Dss5jBVMS77irsVUiIU5IclzJBu/vMY817t2gY3EWNtOpyOFdM4ZDRmJYSrFbOCTiHVZjiSN7QeeR7oWWSwjYgXTkq84gtnPKGoxkx0YrRTjgblIOzg7FzE27hjgJSYbNVnSHsOM44rdj7hif21dsZZEsYJpyVecWsw+5HtcQHLt8aoQS6MbEipSv878Xp9EvPN8Yx8MxnULgYtHcY5MuGQ/ASwi0hXbjLhiz6Z4bst5hBVMS77SgYhdj7ldBFQolXAtZsIDo5ViCjALWbjfGsW1nheY99HdyGA0JSZpdckqxRzgTiRzt4ywK/ZZJLvXYkkYK5iWvMQszqcYWouZaD/ThNyxZsF3rMs1WtOd/NWeV7xHuKFEDbLRSIa0WZhKUQLch5QOjUeStfYBO4CHrSvWkixWMC35jLsWs4DkSksSjV9OR2r2erAt00ZEa/qJTKJJeIqJUniRjGc3IcJjxJLlj5DOQzOJzIp9QGvaR3lOy3mMFUxLPuOei5mwYBrLow5ZiI8Ocz+3dfm2qTe0jMwGGLTepptynESIaV2OxhJUinnAHchmpxToRFyxf0CsYIslaaxgWvKZ6EHShUBtAo9zuvuMNDB6NpJV2UlknaFlGEzJzS7XoUQbGaQlfqkUZQx1xTYB24FHrCvWMlqsYFrymVYkXhYgXFqSSC3miO5YY11ea26+aVyNlsRxl5gsMlb9SKRcUmI+t7uQBhMzEBfvMeSzfkBrOpM5n8XixgqmJZ8ZbS1mIvHLeUjrvLPYwvbR0EzY3e1Dmp2PRDoSfuYDtxJ2xXYhMzufQixMi2XUWMG05DPuuZgeRDCHjZeZeY0TkBhbzDmWpim7Y12u1nrUSSfnLcbt6bYyLzNJPcORkmAqRTnSoGAKsnFyXLHbgEetK9aSKlYwLflMO5K96iTjFABVSsVceB0mIG6648Mk8SxCYqFngK1putbzke2IhQcyGeSiEe4/6himccXejViY05HP+Chi6f5Y68HrsFhGjRVMS95iZjGeJlxaUszItZjDumOVwof0jAV4fYSkIMswGMt8o+vQSCUmqcQwFyKuWHeDggPAk1qzI8FzWCzDYgXTku8cJ7m5mCPFLxcjgnsCG/NKBxtgcNMxWalhk7JG5ZJVigrEFTsJiTsPAB8g5SO/TepqLZZhsIJpyXeOEhbMYediRg2MHiKYJr55lbn5mrFgLSlgslLdFt5wVmbSgmlcsZ9CkrScrFi3K9Z2ZrKkDSuYlnzHPRfTj1iZ8WYx1iGC2han08tliDvvCLA7/Zd63uLuLzvPJOfEYjQxzEuAjyKuWHeDgie0jqgFtVhSxgqmJd85Q+RczOFqMeO6Y80oqg+Zm6/ajMr0oTVHkJZ0IBbgkjh3TSqGqRSVwFeQz9Vxxe5DErWeGO31WizxsIJpyXec0hK3YMarxRwufrkcSRo6iCy6lvTitjKXmOSqaBJ2yRpX7GeAOYh16QEOI5/fA1oPTrGxWNKGFUxLvuM0L0ikFjOmYJouNMvNTWtdZobdMOgGL0XKP6JJxiW7BLiZsCu2AxHLx7RmT2qXarHExgqmJd9xNy8AsVJqoi0YpahCsl97gJNR57gSWaz3ac3BzF7u+Ykpz3H34401KzMhl6xSVANfRhK43K7Yd4En03LBFksMrGBa8hqzECdSi+lYl4fcFqRJQLnM3Hw1s1d73vMuIm4gTdGnRP19RJesEdnPIq7YGQx1xdqJMpaMYQXTci5wgvAg6Xi1mPHilyuQ7NrdWnM4kxd5vmNKPNyjtaKnmCQSw7wcuBFxxRYjbt4DwG+15oP0XKnFEhsrmJZzgWOIS3a4QdJDBNO4aS81j7PWZXZw95edYz4Dh2FjmEpRA3wJccXWEemK/X36L9ViicQKpuVc4AhD52JWO39UimIkEShg7utwFVLmsF1rTmTtas9jzPvcZG4qYKnrz3FjmMYVey/Sj3Y6sna1IK7YH2ud3Bgwi2U0WMG0nAucQRbWAOFMWXctptPd54gzeUQpaoGLEZF9LXuXaiHSyrzU1Sx/OJfscuAGwq7Ys4hY/kbrQQG2WDKKFUzLuYCTKevMxSwishYzVvzyGuT7v0VrzmThGi1h9sLge14ELDQWZCzBHDCbmy8S6YptQhq7/yHzl2uxCFYwLecCTi1mHwwuvA2uv0cIplI0IHWAQWB19i7TAoOzMiNKTIgjlub354HZiHWpkK5BB5CsWOuKtWQNK5iWc4GziFj2Eu72U6MUXlOPOdHcz2nPdq2530atOZvti7UAsJlwjWUdIojR9CE1stcjcctiZHN0EHhYa/Zn4TotlkFitaeyWPIKrRlQajCOCeLmK0aGFpcjiT0ntKZHKSYiiSMDwJtjcb0W0Jo+pdiCU1pS1LqC+veqKT9ahK/HR6A4QFddOy3Lv0SgZDIwDnG5NyHW6bNjdvGW8xYrmJZzhROEM2XdtZiOdenEL68zv9eZ0VOWsWMdlQevYurqOhq2LcczoEH1EvJqVMhDf9lSJmwq59AVEzg5T9FbfQiZRPITrUeek2mxpBsrmJZzhWOEu/24azEH45dKMQ3pDtMHvD0G12hxc78qZ9vddXQ21tE+qY/+8gqKzkoyUF95Pb3V1YRUBXW7Chm/uZum645zat6vbftCy1hhY5iWcwWnFtMZJF2ICKZ7YLRjXb5jp1mMLWqVmgp8jOqmd+mc0EWwQBEorkZ7vAT9RfRWTSfoKyNYVEFXXYCB4qNc9n+7+PZEO+PSMmZYC9NyruD0kx1ALMxCJFbptE8bh1ib3USOmrJkGbVKVQE38TCLObjhavo2TadyzhGm/GUb/SXVDJTWEfSXE/JXcOoRD6cf8TH9vl4uW/t7Ko5cr1ap03qlbhvr12E5/7AWpuVcIdZczAvN39zW5Vu2FGHMmQMEKeEEc/kNtVVr0Eoml/RVTWOguIGQr5S+Yz463gJv+QAl27cyfusRpBQoVkatxZJxrGBazhXa8Hf1U7s7yIR1Hi54qYoZL1zMlNXVFJ3xI51/OoENY3yd5zVqlSoE5gGnuZ013MY6CtuOoLRGKx+BwjpC/jK0p5ATP1I0fvwwKtRP2VqnsfppYIFapWLVbVosGcW6ZC15j1qlqviLmtms/+ZEequgr0Lh7S/B1zOZ6qYu5j86iUPLWjk79SF98KqBkc9oySCTkHUnOHhEhTT09BAsrEZ7C9CeQjreAo/qp27ePo72FOMJhcy9g+bxk5HG6xZL1rAWpiWvMckjd1Fy5kJ6K0/TMbGP7nroaiigY6KP03MU7RMGmPJWKZ+//kJzf8vYUc3QkV2genpQoT608hPs9nDqV4oJnznMhI2vw6BYOgwwdBqNxZJxrGBa8pbBTEvpS3oC70AbKjQgzdc8BaC8DBRVof0hyo+txRs4BXzMiuaYUoDbunRQp9uo3/YHyg+/zulf9VN5+Vlq1BYWPrglxjmCxB4FZrFkFOuSteQlg5mW4YYFUNjeigoN0PzXXnr3loGnDEIT8BfO47reR5CSkxPATWqVetRmWo4J/UjnpUhU/wBX/8PzwPN8j5kM+BrZ8NT1bNDXEaSCtfwlR3icL/C4ebxN3LJkHSuYlnxFMi3dC2dxqwgmQP1XglR/uJuSU1uZ88QjeJ/X5l59hDMt12HJNq04jdb78NCPF40HjYcO/BQQ5F7+hv5AWFR/zQ+Yz39wFZvMET/SU9ZiySpWMC15hyvT8lTEH0pOnR10yaI8gAfPQA8zXmyOOoWTablZr9S2xVp2aUHmlnp5kLs4xKcG//KPXMtkHuZLPBzxCEWIEjqpoRexLgOEG+lbLFnDCqYlHxmaaQlQ1NqFCoqFeepXipO/LKWw+BKKQvP5MNtd97SZlmOEXqn71Cq1A5hrhPHhkR7DX/Nl161aYJvd6FjGApv0Y8lHYmdalp3owhPqp/7eXi74cYhZPzpNw+ytvMN32BYxUBpspuVYsguxFJNN3Ck0j9uT9iuyWBLAWpiWfCR2pmXN++3MefxhfH2/ouRUN/2lfiavPck/Us1WlrCAP7jubTMtxwi9UrepVeoFJMM5nLQ1PIVAPfCMTdayjBVWMC35SOxMS39viFnPR8crQbJjo7GZlmOIXqkPqlXqGSTTOYjElYduguRzqjW/n9ErtZ1UYhkzrEvWko+EMy2jOUYpz3MJHfjpw8PjXE0n81nAu1H3tJmWY4wRv0eB7Uhz/ImIFVlrfk80x7cDj1qxtIw11sK05CPhTMtoq6QfL1v5LOuZBIQopIVl/AOLOOK6l820zBGMe3WdWqU2I0lYVYj7tQ/Z0ByyCT6WXEFpHctbZbHkNmqVWg7MRWJgyVIPbNcrta3DtFgsCWNdspZ8xWZaWiyWrGIF05KXGFfeC4i1mKhoOpmWL9hMy/+/nTu2YRCIgii4yBKtELlIl0UdRK7FDhwcBSxIBFgzTTzdafWBo3zJcmv7IfUjS8vVeAQ4QzC5vf0Q+5LkmTFk+2SE85Gxhv0m2ZK8vSyBswSTvzG9pjmWlsBFBBMACkY/AFAQTAAoCCYAFAQTAAqCCQAFwQSAgmACQEEwAaAgmABQEEwAKAgmABQEEwAKggkABcEEgIJgAkBBMAGg8AMi7fH9uVcyRgAAAABJRU5ErkJggg==\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "nodes=random.randint(15,26)\n", "p=random.uniform(0.2,0.3)\n", "name=\"Erdos-Renyi random undirected multigraph\"\n", "G=nx.erdos_renyi_graph(nodes,p)\n", " \n", "E=G.edges()\n", "k=random.randint(5,16)\n", "print(k)\n", "\n", "G=add_multiedges(G,k)\n", "print(Counter(G.edges()))\n", "print(min(Counter(G.edges()).values()),max(Counter(G.edges()).values()))\n", " \n", "gne(G,name)\n", "\n", "pos=graphviz_layout(G)\n", "plt.figure(figsize=(8,8));\n", "nodes = nx.draw_networkx_nodes(G, pos, node_color=\"g\", alpha=0.3)\n", "nx.draw_networkx_edges(G, pos,arrowsize=20, width=edge_width, edge_color=\"b\", alpha=0.5)\n", "nx.draw_networkx_labels(G, pos)\n", "plt.axis('off');\n", "plt.title(\"An \"+name,fontsize=15);" ] }, { "cell_type": "code", "execution_count": 39, "id": "olympic-headquarters", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "The Gnm random directed multigraph graph is a directed graph\n", "The Gnm random directed multigraph graph is a weighted graph\n", "The Gnm random directed multigraph graph has 20 nodes and 39 edges.\n", "The nodes are:\n", " 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19.\n", "The edges are:\n", " (0, 3, weight=5), (0, 18, weight=4), (1, 0, weight=2), (1, 8, weight=2), (1, 11, weight=5), (1, 17, weight=1), (2, 1, weight=5), (2, 13, weight=2), (4, 1, weight=3), (5, 2, weight=1), (6, 17, weight=5), (7, 15, weight=2), (8, 9, weight=4), (8, 16, weight=5), (9, 13, weight=4), (9, 16, weight=1), (10, 9, weight=3), (10, 14, weight=3), (11, 3, weight=5), (11, 5, weight=5), (11, 9, weight=1), (11, 10, weight=1), (11, 19, weight=3), (12, 5, weight=2), (12, 6, weight=1), (12, 8, weight=2), (12, 13, weight=1), (12, 14, weight=4), (13, 6, weight=5), (13, 8, weight=3), (14, 1, weight=4), (14, 6, weight=4), (15, 16, weight=3), (15, 18, weight=2), (17, 2, weight=4), (17, 10, weight=5), (17, 18, weight=2), (18, 6, weight=2), (19, 1, weight=1).\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "nodes=random.randint(15,26)\n", "edges=40\n", "name=\"Gnm random directed multigraph\"\n", "G=nx.gnm_random_graph(nodes,edges,directed=True)\n", "for e in G.edges():\n", " if (e[1],e[0]) in G.edges:\n", " G.remove_edge(*(e[1],e[0]))\n", "maxw=random.randint(5,16)\n", "weight=weight_attr(G,maxw)\n", "w_edges=[(x,y,z) for (x,y),z in weight.items()]\n", "G.add_weighted_edges_from(w_edges)\n", "\n", "gne(G,name)\n", "\n", "edge_width=[G[u][v]['weight'] for u,v in G.edges()] \n", "edge_width=[w for w in edge_width]\n", "\n", "pos=graphviz_layout(G)\n", "plt.figure(figsize=(8,8));\n", "nodes = nx.draw_networkx_nodes(G, pos, node_color=\"g\", alpha=0.3)\n", "nx.draw_networkx_edges(G, pos,arrowsize=20, width=edge_width, edge_color=\"b\", alpha=0.5)\n", "nx.draw_networkx_labels(G, pos)\n", "plt.axis('off');\n", "plt.title(\"A \"+name,fontsize=15);" ] }, { "cell_type": "markdown", "id": "protected-petersburg", "metadata": {}, "source": [ "#### Converting multigraph to weighted graph" ] }, { "cell_type": "code", "execution_count": 40, "id": "cultural-turkish", "metadata": { "scrolled": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "The corresponding weighted Gnm random directed graph is a directed graph\n", "The corresponding weighted Gnm random directed graph is a weighted graph\n", "The corresponding weighted Gnm random directed graph has 20 nodes and 39 edges.\n", "The nodes are:\n", " 0, 3, 18, 1, 17, 11, 8, 2, 13, 4, 5, 6, 7, 15, 16, 9, 10, 14, 19, 12.\n", "The edges are:\n", " (0, 3, weight={'weight': 5}), (0, 18, weight={'weight': 4}), (1, 0, weight={'weight': 2}), (1, 8, weight={'weight': 2}), (1, 11, weight={'weight': 5}), (1, 17, weight={'weight': 1}), (2, 1, weight={'weight': 5}), (2, 13, weight={'weight': 2}), (4, 1, weight={'weight': 3}), (5, 2, weight={'weight': 1}), (6, 17, weight={'weight': 5}), (7, 15, weight={'weight': 2}), (8, 9, weight={'weight': 4}), (8, 16, weight={'weight': 5}), (9, 13, weight={'weight': 4}), (9, 16, weight={'weight': 1}), (10, 9, weight={'weight': 3}), (10, 14, weight={'weight': 3}), (11, 3, weight={'weight': 5}), (11, 5, weight={'weight': 5}), (11, 9, weight={'weight': 1}), (11, 10, weight={'weight': 1}), (11, 19, weight={'weight': 3}), (12, 5, weight={'weight': 2}), (12, 6, weight={'weight': 1}), (12, 8, weight={'weight': 2}), (12, 13, weight={'weight': 1}), (12, 14, weight={'weight': 4}), (13, 6, weight={'weight': 5}), (13, 8, weight={'weight': 3}), (14, 1, weight={'weight': 4}), (14, 6, weight={'weight': 4}), (15, 16, weight={'weight': 3}), (15, 18, weight={'weight': 2}), (17, 2, weight={'weight': 4}), (17, 10, weight={'weight': 5}), (17, 18, weight={'weight': 2}), (18, 6, weight={'weight': 2}), (19, 1, weight={'weight': 1}).\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "name=\"corresponding weighted Gnm random directed\"\n", "weight=[(x, y, {'weight': v}) for (x, y), v in Counter(G.edges()).items()]\n", "G = nx.DiGraph(weight)\n", "edge_width=[G[u][v]['weight'] for u,v in G.edges()] \n", "edge_width=[w['weight'] for w in edge_width]\n", "\n", "gne(G,name)\n", "\n", "pos=pos #graphviz_layout(G)\n", "plt.figure(figsize=(8,8));\n", "nodes = nx.draw_networkx_nodes(G, pos, node_color=\"g\", alpha=0.3)\n", "nx.draw_networkx_edges(G, pos,arrowsize=20, width=edge_width, edge_color=\"b\", alpha=0.5)\n", "nx.draw_networkx_labels(G, pos)\n", "plt.axis('off');\n", "plt.title(\"The \"+name+\" graph\",fontsize=15);" ] }, { "cell_type": "markdown", "id": "olive-salvation", "metadata": {}, "source": [ "### Exercise 7" ] }, { "cell_type": "markdown", "id": "comic-chicago", "metadata": {}, "source": [ "First, as above. construct and plot:\n", "\n", "1. a binomial undirected multigraph\n", "2. a scale-free directed multigraph\n", "\n", "Next, convert these graphs to weighted undirected/directed multigraphs." ] }, { "cell_type": "code", "execution_count": null, "id": "empty-keyboard", "metadata": {}, "outputs": [], "source": [] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.7.1" } }, "nbformat": 4, "nbformat_minor": 5 }