{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# 0 基于python语言的网络分析实践\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 0.1 本文档创作目的\n", "\n", "创作本文档的主要目的是为研究生和本科提供一本使用python语言,基于networkX,igraph,SNAP和graphlab进行社交网络分析的讲义,使学生能通过自学的方式掌握这些工具的使用方法。" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 0.2 本文档内容简介\n", "\n", "本文档有以下章节:\n", "\n", "- 第一章 基于networkX进行网络图的绘制\n", "- 第二章 网络的读入、创建和保存\n", "- 第三章 不同的网络类型(应该能和第二章合在一起)\n", "- 第四章 无向无权网络的统计分析\n", "- 第五章 社交网络社团发现专题\n", "- 第六章 社交网络中链路预测专题\n", "- 第七章 社交网络中信息传播专题\n", "- 第八章 有向无权网络的统计分析\n", "- 第九章 加权网络的统计分析\n", "\n", "暂时这几章都放在这个文档中,慢慢应该每一章为一个ipynb文件。" ] }, { "cell_type": "code", "execution_count": 352, "metadata": { "collapsed": true }, "outputs": [], "source": [] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 0.3 进行环境的初始化" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "collapsed": true }, "outputs": [], "source": [ "import networkx as nx #导入networkx网络分析模块,缩写为nx" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Populating the interactive namespace from numpy and matplotlib\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "//anaconda/lib/python2.7/site-packages/matplotlib/font_manager.py:273: UserWarning: Matplotlib is building the font cache using fc-list. This may take a moment.\n", " warnings.warn('Matplotlib is building the font cache using fc-list. This may take a moment.')\n" ] } ], "source": [ "#%pylab命令将载入pylab,并且将这两个模块中的名字载入到全局名字空间中。\n", "#缺省参数时,它使用matplotlib的缺省界面库显示图表,如果带inline参数则将图表作为图像插入到Notebook中。\n", "#使用界面库显示图像时可以使用交互工具,而将图表直接插入到Notebook中则有利于编写文档。\n", "%pylab inline " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# 1. 绘制网络图" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 1.1 绘制一个网络: 使用nx.draw()方法" ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAeIAAAFBCAYAAACrYazjAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nEBMRESmIQUxERKQgBjEREZGC/h8cLo+xjXzliwAAAABJRU5ErkJggg==\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "G =nx.random_graphs.barabasi_albert_graph(40,2) #生成一个BA无标度网络G\n", "nx.draw(G) #绘制网络G" ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.savefig(\"ba.png\") #输出方式1: 将图像存为一个png格式的图片文件" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 1.2 样式及参数\n", "NetworkX提供了一系列样式参数,可以用来修饰和美化图形,达到我们想要的效果。常用的参数包括:\n", "\n", "- `node_size`: 指定节点的尺寸大小(默认是300,单位未知,就是上图中那么大的点)\n", "- `node_color`: 指定节点的颜色 (默认是红色,可以用字符串简单标识颜色,例如'r'为红色,'b'为绿色等,具体可查看手册)\n", "- `node_shape`: 节点的形状(默认是圆形,用字符串'o'标识,具体可查看手册)\n", "- `alpha`: 透明度 (默认是1.0,不透明,0为完全透明)\n", "- `width`: 边的宽度 (默认为1.0)\n", "- `edge_color`: 边的颜色(默认为黑色)\n", "- `style`: 边的样式(默认为实现,可选: solid|dashed|dotted,dashdot)\n", "- `with_labels`: 节点是否带标签(默认为True)\n", "- `font_size`: 节点标签字体大小 (默认为12)\n", "- `font_color`: 节点标签字体颜色(默认为黑色)" ] }, { "cell_type": "code", "execution_count": 18, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAeIAAAFBCAYAAACrYazjAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nRRzEjDHGmBRxEDPGGGNS9H/IhYpe6CjHLAAAAABJRU5ErkJggg==\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "#node_size: 指定节点的尺寸大小(默认是300) \n", "nx.draw(G,node_size = 30) " ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "collapsed": false, "scrolled": true }, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAeIAAAFBCAYAAACrYazjAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\ngg==\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "#node_color: 指定节点的颜色 (默认是红色,可以用字符串简单标识颜色,例如'r'为红色,'b'为绿色等)\n", "nx.draw(G, node_color = 'b') " ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAeIAAAFBCAYAAACrYazjAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "#node_shape: 节点的形状(默认是圆形,用字符串'o'标识)\n", "nx.draw(G, node_shape = 's')" ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAeIAAAFBCAYAAACrYazjAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\nAAALEgAACxIB0t1+/AAAIABJREFUeJzs3XlQ22me5/m3bolDCCEJcd9gLDAYk8Z3Op3Oy+3MyqNq\nKzs7q3uqZ3ejeme7YvefmZiYmZiKmIiZnf1nZqp7tnu7eqY7tjO6Mqsys7PzcFZmOtN2+gYfYC5z\nI24kIRAIHejaPwwawEKAEyxIP68IwjYSP36SQR/9nuf7fB9JJBKJIAiCIAhCQkgTfQKCIAiC8CQT\nQSwIgiAICSSCWBAEQRASSASxIAiCICSQCGJBEARBSCARxIIgCIKQQCKIBUEQBCGBRBALgiAIQgKJ\nIBYEQRCEBBJBLAiCIAgJJIJYEARBEBJIBLEgCIIgJJAIYkEQBEFIIBHEgiAIgpBAIogFQRAEIYFE\nEAuCIAhCAokgFgRBEIQEEkEsCIIgCAkkglgQBEEQEkgEsSAIgiAkkAhiQRAEQUggEcSCIAiCkEAi\niAVBEAQhgUQQC4IgCEICiSAWBEEQhAQSQSwIgiAICSSCWBAEQRASSASxIAiCICSQCGJBEARBSCAR\nxIIgCIKQQCKIBUEQBCGBRBALgiAIQgKJIBYEQRCEBBJBLAiCIAgJJIJYEARBEBJIBLEgCIIgJJAI\nYkEQBEFIIBHEgiAIgpBAIogFQRAEIYFEEAuCIAhCAokgFgRBEIQEEkEsCIIgCAkkglgQBEEQEkgE\nsSAIgiAkkAhiQRAEQUggEcSCIAiCkEAiiAVBEAQhgUQQC4IgCEICiSAWBEEQhAQSQSwIgiAICSSC\nWBAEQRASSASxIAiCICSQCGJBEARBSCARxIIgCIKQQCKIBUEQBCGBRBALgiAIQgKJIBYEQRCEBJIn\n+gQEQdg5vF4vPd3dzExOEvT5kKvV6DIzKa+oQK1WJ/r0BOF7SRKJRCKJPglBEBLLbrfT2tjIUGMj\nRcEgRoUCpVzOQjCIPRBgQC4n/+BBqg8exGg0Jvp0BeF7RQSxIDzhOtvbuf3uu9RIpZSbTKgUiofu\n4w8E6LbZaAmHOfDmm1RaLAk4U0H4fhJBLAhPsM72dlr+7u84k5WFVqNZ9/6zXi/nJiaoefttEcaC\nsEVEsZYgPKHsdju33313wyEMoNVoOGM2c/u997Db7dt8hoLwZBBBLAhPqNbGRmqk0g2H8BKtRkON\nREJbU9M2nZkgPFlE1bQgPIG8Xi9DjY0cNZke6evLTSZu37yJ79SpHVlNLaq/hd1EBLEgPIF6ursp\nCgZjFmZthEqhoCgYpLuri301NVt8do9uvervd0X1t7ADiSAWhCfQzOQkxkcM4SVGhYKpHTRPvLz6\n++ga1d+HAgG6Gxv54sYNUf0t7BhijlgQnkBBnw+lfO334ZcvX2ZoaCjuMRQyGQGvd6tP7ZEsVX+/\nYjBQnZOz5pW+SqGgOieHVwwGWt55h8729sd8poLwMBHEgvAEkqvVLASDMW8Lh8N4PB6cTmfcYwRC\nIRSbLPTaDqL6W9jtRBALwhNIl5mJPRCIeZvX6yU9PR2v14vP51vzGPZAgLQdMM8qqr+F3U4EsSA8\ngcrKyxmQy/HHCOP5+XlSU1MxGAxrXi36F9telldUbPepxrVU/V3+Haq/rTdvxn3DIQjbTQSxIDyB\nNBoN+QcP0m2zPXSbe36epORkTCYTkzFuB+i22ShoaEj4UqCtrP4WhEQRQSwIT6jqgwdpCYeZXVVw\nNe92k5KcTFpaGuFQiDm3e8Xts14vLZEIVU899ThPN6Z41d9zc3O0tLQQDofjHsOoUOAS88RCAokg\nFoQnlNFo5MCbb3JuYmJFGM/Pz5OcnAyAyWTCNjkZvW2p1/SBH/94R6zDjVX9HQ6HsQ4NcefOHWw2\nGxKJJO4xdlL1t/BkEuuIBeEJVmmxwNtv8/Hi+ttCnY5wOBwdcjZlZnKvpYXs3Fx6HA7uRSIc2EEb\nPqyu/vZ6vdzv6kImk5GTk4NEIlk3iHdK9bfw5BJBLAhPuEqLBcPPf05bUxMXvvoKjceDbmzswZVi\nKETL7Cw3+/vZ99xzvPDUUzviSnjJ8urv8fFxBgcHyc/PJzs7m7t371JcUrLuMeyBAOk76DEJTx4R\nxIIgYDQaeebMGVKMRjo7OpjKySHg9aLQaDBUV5OcnMwzL76Y6NN8SFl5Oe9EIqS2tEAoxL59+0hO\nTsbr9bKwsECaVhv365eqvxsSXP0tPNlEEAuCEOV2uznY0MCePXuin/P5fLz77rsEAgEU37Et5lab\nnJzE6veTu7DACwcOIJU+KHuZmpoiIyNj3WHpnVL9LTzZRLGWIAhRSwG2nFqtxmw2Mzg4mJiTimFh\nYYFLly5x48YN3vzpT5kym3H7/dHb7Q4HBoMh7jF2UvW38GQTQSwIAvCg2tjlcpGenv7QbWVlZfT0\n9CTgrB42MTHBBx98gEQi4Y033qCqqmpF9bff78fr9ZKWlrbmMXZa9bfwZBND04IgADA9PU1qairy\nGJtBFBQUcOXKFTweD0lJSQk4uwdvFG7dukV3dzfHjx+noKAgetvy6m+zw0GmVhsdpl7OHwjQZbPt\nuOpv4ckmiUQikUSfhCAIidfT08PQ0BDPPvtszNsvXbpEeno6+/bte8xnBk6nkwsXLpCSksKJEyfQ\nrLHcyG6389d//udoXC72JydjVCii1d/2xcKsgoYGqnZY9bfwZBNXxIIgALHnh5crKyvj+vXrjzWI\nI5EIbW1t3L17l4aGBirWqW5OSUkhq6iIH/3oR/T19jJlt0erv9ONRhoqKkRhlrDjiCAWBAF4EMTV\n1dVr3p6VlYXP58PpdKLX67f9fNxuNxcvXiQcDvPqq6+iXWcpEoDVaiUvL4/k5GT21dRs+zkKwlYQ\nxVqCIADrXxFLJBLKysro7e3d9nPp6enhww8/JDc3l5dffnlDIQzQ399PUVHRNp+dIGwtEcSCIODx\neACiPabXUlpaSk9PD9tVWuL3+zl//jzNzc2cOXOG2traddcCL/9am81GXl7etpybIGwXMTQtCAJT\nU1MbGm7W6/Wo1WrGx8fJzs7e0nMYGRnh0qVLFBcXc/LkyZjV2/FYrVays7N3XNMRQViPCGLhe8Xr\n9dLT3c3M5CRBnw+5Wo0uM5NyUaQT13rD0sstrSneqiAOBoPcvHkTq9XKyZMnycnJeaTjDAwMUFxc\nvCXnJAiPkwhi4XvBbrfT2tjIUGMjRcEgRoUCpVzOQjCIPRDgXbmc/IMHqT54UCxbicHpdJKbm7uh\n+5aWlvKb3/yGo0ePbvqqdTW73c6FCxcwGAz88Ic/RKlUPtJxAoEAY2NjPPPMM9/pfAQhEUQQC7te\nZ3s7txe38TtqMqGKMTR5KBCgu7GRL27c4MCbb4pGDqtMTU1teFlSUlISJpMJq9VKyQZ2N4olHA7T\n3NxMW1sbR48efeTjLBkaGsJsNj9ykAtCIokgFna1zvZ2Wv7u73glKwttnD1lVQoF1Tk5FHi9nHvn\nHRBdlaJCoRCzs7MxW1uupaysjLa2Nubd7k1PA7hcLi5cuIBSqeSNN95Yt0BsIwYGBkS1tLBriSAW\ndi273c7td99dN4SX02o0nDGb+fi99zD86Z+KYWoetLZMS0tDJpNt6P52u52Bjg4u/Pf/TnJFBdlJ\nSRueBujs7KSpqYm6ujosFsuGK6LjCQaDjIyMcOzYse98LEFIBBHEwq7V2thIjVS64RBeotVoqJFI\naGtq4pkzZ7bp7HaPjVZMw8ppgD8uKCBDoyFnVdFWrGkAj8fDt99+i8fj4ZVXXkGn023Z+Y+MjGAw\nGEQxnrBriSAWdiWv18tQYyNHTaZH+vpyk4nbN2/iO3XqiX8B32jF9OppgOmkJAYHBx+qcl49DTD6\nzDOMT05SWVlJXV1dzM0YvgsxLC3sdqKhh7Ar9XR3UxQMxizM2giVQkFRMEh3V9cWn9nu43Q61w3i\npWmAM8umAdLS0vD7/dFmIKslKRSUu92c/8u/pK6ujvr6+i0P4XA4zNDQEIWFhVt6XEF4nMQVsbAl\nHvf63ZnJSYxxQjgSiXDv3j1SU1NJTU1Fq9WiUqlW3MeoUDBlt2/5ucWzE9c5b2RoOtY0gFQqxWg0\nYrPZHgrCGZeL7q4u0tPT+bHFgs1qxbINxXGjo6PodLotKfgShEQRQSx8J4lavxv0+VCus4Z1bm4O\neNC+sbe3F6lUuiKYpRIJAa93y84pnp26znl+fh6pVBp3j+F40wCmzEw6OzooKChAIpEQDocZtFqx\nTU5SVl5Ohl6PPxDg19s0DSCGpYXvAxHEwiNL5PpduVrNQjC45u0SiYSqqiq6u7ujQ6Jer5e5uTnm\n5ubo7++nfWyMoXAYZXo6mZmZmEwm0tLStuT8ltvJ65w3Mj8cbxogNSUFqUzG7Owscrmc+/fvo9Zo\nOHDgQLTV5PJpgK3cESkcDjM4OMhrr722ZccUhEQQQSw8kkSv39VlZmIPBOLfR6cjOSWF0dFR8vLy\n0Gg0aDQaTItXdtM6HTlPP41Wq8VqtdLU1EQgEIiG8tLHd2kSkejnaT0bGZZebxrAaDTS1taGVCql\nqKgIs9n88H22YRpgYmKClJQUUlNTt/S4gvC4iSAWNm0nrN8tKy/nPbmcQ4FA3IKtoqIiWpqbyczM\nXBGo/kCAIaWSN48cWTFc6vF4sNlsTE5OcvfuXex2OykpKdFwzszMJD09fUPrX3fC87SeqakpCgoK\n4t5nrWmASCSC3W6nt6cHv9/PqThDzwqZbMunAcSwtPB9IYJY2LSdsH5Xo9GQf/Ag3Y2NVMfZJCBp\n8QrYOjREWWlp9PPdNhsFDQ0PBUdSUhKFhYXR4qNwOIzT6YyGc2trK/Pz8xiNxmgwm0wmNDGei53w\nPK22uljs+s2bqF54gby8vDVDdPU0QCQSweFwYLVakcvl6HQ6MjMz487/BkIhFJt8HuKJRCIMDAxw\n9uzZLTvmdtuJhXrCziCCWNiUnbR+t/rgQb64cYMCrzdu2OXn53Pr1i2ys7JITk5m1uulJRLhhaee\nWvd7SKVSDAYDBoOBvXv3Av9j31ubzUZ7ezsXLlxApVKtCOakpKQd8zxB7GIxmURCUVsbwUiEd7/+\nes1isaVpgEgkwtTUFFarFalMRklJCWlpady4eXPdK3d7IED6Fl7d22w2VCrVljYG2S47tVBP2DlE\nEAubspXrd79r4Y7RaOTAm29y7p13OGM2rxnGCoWC/Px8+vv7KSgt5dzEBAfefvuRX/RUKhV5eXnR\nDegjkQgulysazl1dXbS1tpLV3s6Iz0eqVos2NXVTgbqVz9NaxWJzc3PszcqirrAQf5xisbLycv5f\ntxvVrVsoZTIKi4rIWJxXdjgcJCclPbQ0bDl/IMCAXE5DRcV3ehzL7ZZh6Z1cqCfsHCKIhU2JV7gT\nDofp6upi0GolLS2N5MUlMdH5VIkECTDtdHLrs88YGx9HIpFEb1/6e6zPxbs9bLHwX7/+mlqplML0\ndFQKBUszuEv38weDXO7o4H2Hg31vvIE/EKClpWVT32e9c1MqleTl5ZGfn09gbo6MsTF8Ph+OqSnm\n3W6AaHFRWloaGQYDqjiFYFtR4BSvWMw9Px9df7tWsdjw8DC3bt1iNimJBeDQqpCw2+3R4re1rDUN\nsFGxhnSv37nD2z/5ySMd73HZ6YV6ws4hgljYlLUKd4LBIO3t7QDk5+UxNTXF9MwMGXo9er1+xTpV\nn0qFz2xm7969RCKRFR/Apv4diUTYV1tLTl4evW1ttNy7R1EohEEuRy6VEgiFcASD9MtkSI4dIxgM\nkpOby8LCQtzvHev7rPe55X8fGhgg1eslrFI9qNZWq1lYWMDj8TA9PY3X68Xr9ZKenh6dY1798V0L\nnNYrFpt3ux9qhLFULPbOr35F4/79JCUlceDAAY4ePcqXf/ZnzC6bBgiGQkxPT1O6bO59tc1MA8Q6\n/1hDutOzs6R2d/OV17tjh3R3Q6GesHOIIBY2Jdb6Xf/CAm2treh0OoqLi6NXiW63G7vdzujo6IMu\nTCYTRqOR5JQUcvLzyc/P39Jze/rpp/H5fHR3deGy2wl4vag0GvYajby6WBDz6aefotVqo/O92yVJ\nKsUgkbB31YYIy005nQwODOB2u1Gp1UQiEZxOZzSkrbOzDIXDSBevoJd/yNdpZgLrF4vNz88/tIZ4\nZmYGq9WK3mYjVF3ND3/4w+j/5+ppgCmHA61WG10vvNqs1/vI0wDxhnQHPR5erKwkx2TasUO6O7FQ\nT9i5RBALm7J6/a7H66WttRWz2fxQsKakpJCSkkJRURGzs7PY7XbutbTQ4nKRYbHgdrtJSUnZ0vNT\nq9Vx51QPHz7MuXPnKC0t3dZN5DeyzjlDrydDr2dmZoah4WHsdju5ublUVFQglUrx9PZiPnYMs9mM\ny+Wit7cXl8vF7OxstFBpdUCnpqYik8k2VFQ3Pz8fff5dLhdWqxW/309+fj4VlZW8OzSE3++PDilX\nWizw9tt8vBiQAYeD3Kysh47rDwTostm4F4lw4BGGWdcb0nU4HJSXl+/YId2dVNAo7A4iiIVNWb5+\nd8Hvp72tjYLCQrJiNHFYTqvVotVqycnLo6m/nzSdjg8//BCdTkdJSQnFxcUxlwBttYyMDAoKCrh7\n9y4NDQ3b9n02us4ZHjQe0el0zM7OMjQ0xNDQEEazmSGVij84evShF+NIJML8/Dwulyv6MTY2xszM\nDPOL875TDge6wUEcPFiSpVarUavV0atbn88X7TZ2//59vF4v+fn5mEym6MYMsYrFKi0WDD//OXeu\nXuXzv/kbXklNxRwMPhhGD4WwLxZmFTQ08MJTT236Snjd4fT5eULhMFqtNvq5Rx3S3a7lRDupoFHY\nHUQQC5uytH731vnzSGdmKCsrw2AwbPjre+x2qk6f5pnnniMcDjMyMkJfXx9NTU0YjUZKS0spLCyM\nW4X7XdXX1/P+++9TWVm54gV9K210nfNyWq2Wqqoq3G4355ubGTCZ6OzsxGKxrLh6l0gk0dGG1VsQ\nhsNh5ubm+OqTT9AnJ+PxeplaHO4OLCygVqvRaDT4/X7Gx8eRSKXk5+eTuSyAl6xVLGY0GskrL+eF\nn/0MQ3Y2U4vTAAqNhnSjkYbvEGTrDek6pqYwxGjJuZkh3e1eTmQfGUEfiTDndhMMBAgEgyv+dExN\nUbd//5pD+pCYDUmExBFBLGxaqsnEb/v7+d/r6zcVwqsLd6SLIZCfn08wGGRoaIi+vj6uX79OVlYW\nJSUlFBYWbmg+dKO8Xi+9PT0E3G5+9V/+C081NGxbU4WNrnNeLSyT4S4s5J/84R8yMjLCu+++S2Vl\nJdXV1eueo1QqJS0tDb1WS352NqXLhkdDoRA+nw+v10tbWxtjY2McOXKEzMzMmMeKVyzW19dHdXX1\nlm4/uJEh3SmHg+KSkpi3bWRIdzPLic5du4bl1VcpKi7G7/fj8/nw+/3Rv6/+99Lf++7d48DEBBGn\nE7lCgUIuR65QIJVIGBsbYyEQIBAIxA3i7ehEJuxcIoiFTeno6KCrq4vX/vk/59qnn6LbYMisV7gj\nl8spLi6muLiYhYUFrFYrvb29XLlyhby8PEpKSsjLy0Mmkz3Sea++Cjook9F1/z4ql4tplWpbmips\ndJ3zcsufp9LSUkpLS5mdnaWlpYX33nuPiooK9u3bF3e3JIhdVCeTyUhOTiY5OZmcnBycTicDAwOE\nI5GYUwtrdcOan5/H6XRG11FvlfWGdL1eLwsLC6StMYqx1pBuOBzG5/Nxr6WFtr//e55NT0ctk2Gb\nmCAYDBIIBGL+aV5Y4KN/9+8wnDxJaXk5KpUKlUoVHVVIT0+P/nv5bVfOn8dw7dqKQj2Xy0VXVxdZ\nWVkUFRWt+3O81Z3IhJ1NBLGwYbdu3aK3t5dXXnkFrVaLTqeLFu6Ur3F18SiFO0qlkrKyMsrKyvD5\nfAwMDNDW1salS5coKCigtLSU7OzsDW8yv9ZVUKZSyejoKAfLyjgUDG5LBe7qAqdHeZ60Wi3Hjx+n\nrq6Oe/fu8dvf/paSkhJqamrW3PBgvWIxqVSKWq1mT2UlXV1dhIJBcnNzV9xnrW5YfX19FBYWPvKb\norWst7mEw+EgLS0Nr9f7IDBXDfkGgkFmJyZo/OQTevv6olepoVAIv9/PyDffcFavx+NyEVAokMvl\nKBQK1Gp19O/L/5TJZBz2evl4aoqGhoYNv0Fb/tyHw2GGh4cZHx+Pbgu5EVvdiUzY2UQQC+uKRCJc\nuXIFu93OD37wg2hR1VLhTltTE7dv3ozOt21V4Q48qIKurKyksrISj8dDX1/fgwYTs7MUFxdTWlpK\nZmbmmpswxKvANZlMjI6NYbPZyMzM3LYK3K16npKTkzl8+DC1tbW0trby4YcfUlBQwP79+x/avnG9\nYrFAMEhqaiqhUIiafftoa2sjGAxGh5rjdcPq7e3dlkK3WGvUw+Ewo6Oj9PT0MDg4iFKpZGx8nHSd\nDqVSuWLoNzkpCWNGBt6cHE6cOBG9SlUqlXzz2WecqKra8Hz9kkdZTrT03Ne63Qz29SGVStlfVxe3\necty29GJTNjZRBALcYVCIb755hv8fj9nz559aMmP0WjkmTNn8J06RXdX15YW7qyWlJREdXU11dXV\nzM7O0t/fz5UrV/D7/ZSUlFBSUrIixDbSVKGkuJjOzk4MBgMymWzbmips5fOk0Wg4ePAgNTU1tLe3\n84//+I/k5OSwf//+6JaG6xWLBQMBtFotbrebDL2empoaWltbCQaDlJSUrNkNy+Vy4fF4yI6zPvpR\nLQ2nh8NhHFNT9Pb2MmS1RrdXfP2NNwgsLDC22LEsw2DAbDavCLgZICsvb0XtwuNeTqTRaJDn5vLJ\nZ59xct8+cnJyNrRb15Lv2olM2H1EEAtrWlhY4Msvv0StVvPSSy/FHYpcb/3uVtNqtdTW1lJbW8v0\n9DR9fX18/fXXAJSWllJSUrKhpgpLy6pGRkcpWFwHvZ1NFbbyeVKpVNTV1VFdXU1HRwfnzp3DaDSy\nf/9+TCZT3GKxQDCILi0N92LrTYVCwb59+2hvb+d2aysd6em8FKMbVm9v74qmLVslFArhCYW40tZG\nd2Mjfr+frKwsnj558qGKbqPRyPz8PGNjY9y+dQu9Xk92djZarTbmkO7jXE4UCAS4evUqXiBcUoI2\nI2NTz9V36UQm7F4iiIWYvF4vn3/+OSaTiaNHj275C+9WSk9Pp76+nvr6ehwOB729vXz00Ud0njvH\n/1JSgtfrjbtGuaioiDt37664utpNTRUUCgU1NTVYLBa6uro4f/48Op2O/fv3r1ksFgwE0KalYVu2\nREYul5NfUsJ/vXED87590avr5fr6+jh58uSWnHcoFGJ0dJSuri5u3brF1NQUM9PT/J81NZQWFcVd\nwpacnExZWRmFhYVMLm60EQKalEp+tqqqer2551AotO5890aWE9lsNr755huys7P56U9/Sk9X1yMX\n6on2lk8W2S9+8YtfJPokhJ1ldnaWTz/9lOLiYg4dOrSjQ3i1pKQkcnNzkUok6Ht7yZDJ6O/vxzE1\nRSgUQqVSPbQcSi6XEwwGmZqaig5pymUyXNPTeMxmMtdpVrJTSKVSTCYTFouFcDjMzZs3mXO70e/Z\nw62ODiRuNzqNBrlMxtDQEIWFhYyOjGA2mwmGw3RMTHDF5+OZP/kT5EolXV1dKyp8l97kHDp06JHP\nMRQKMTIywp07d/jss8+4ffs2w8PDVFdX8+qrr5JdVESSw0F2evqGjieTydBqtWRnZ2OdnWXYaGR4\nfByfz0daWhoqlYq+9nb0djv65GT8fj8ulyvaerWvr4+7zc2UlpTELf6b8XiYNhgoijFvG4lEaGlp\n4dq1a9E5/KWWrrKsLC42Nq547lfzBwJ0TEzwrcfD/rfe2hHdwYTHS1wRCys4HA5+97vfUVdXt+39\nmLeTy2ajSK+nLDubkuLi6Ivv7aEhkpOSVrSElMvl5OXlcevWLebcblIX2z7u1qYKUqmUPXv2UF5e\nTn9/P3fv3iVQXEwbcGtwkKJgkGGHA73TyeTCAr/r6mIqPX1Fsdjeqiq+/fZbPvvsM1566SVUKhW9\nvb1xN3hYy9KVb39/P319fQ+aiwQC6PV6jh8/Tnl5eXQ5llqt5oubNze99nrO52MwNZV/8rOfoVKp\n6Ojo4O///u9Rq9VMWq3MdnXh6O8nEolEm6GYTCYikQjpev26a9XjLeW6cOECkUiE11577aGWrY+j\noFHY/UQQC1FjY2OcP3+e48eP74q9XuNZXoErlUpJT08nPT2d0nAYp9PJBx98gEQiISsri4yMjOgu\nRI2NjdTW1pKk0SCTSnd1UwWpVBqdL7dardy5c4dweTnTGg2dPh85+/dj0+lIz8zkzR/8YMUQvEQi\n4cSJE9y4cYNPPvmEl156ib6+Pl566aUNfe/l4Wu1WpFIJIRCIYLBIHv27KGyspLs7OyHRlseZe21\ny+PhH6xWzM8/T19fHw6Hg6mpKTQaDQsLC4xNTSFzOKipqyMvLy8auna7Ha/Xy/7KynW/R6y558HB\nQS5fvkxVVRW1tbVrjhw9zoJGYXcSQSwADzZav3z5MqdPn96WitjHLVZDC/gfnacqF198VSoVC4td\njtLT02lra+N+ZydyhYJum43BQIDg4gYLSx9LQ567hUQiobCwkMLCQoaHh7l69SpzCwvklJeTW1GB\n1WqNGQQSiYTDhw9z584d3nnnHZKSkmLOGy9ZHb4pKSlIpVKkUilKpZLKykrKysrW7Skeb+11OBzG\n6/XidruZmpmhbXSURo8H87Fj5MjlqFQqampqMBgM0e/j9Xr563/9r5l1u2lsbMRoMpGh19Pb20tV\nVVXM4eLlVi8nCgaDXL9+ndHRUV544YV192Ne8rgLGoXdQwSxQGdnJ7dv3+bMmTObalm5k8VraOHz\n+0lOTqa0tJTOzk4q9+zBbrczNjZGYWEhc3NzPFVfz7zVSsHp0+Tm5TEzM8PIyAhtbW24XC5kMtlD\n4azT6UhNTd1wo5FEyMvL4/Tp08zPz9PX18fAwAB9vb3Ig0EigUDMjQ/q6upoa2tjZGSEmZkZdDpd\n9HhL/cJEQOtsAAAgAElEQVSXwjc9PZ3U1FQMBgN2u538/HwOHTpEVoxdmuKptFhI/2f/jBsXLvDF\nlStkzs2RtLBAwO9HKpfjUSqZTE2l5OxZ/o+TJx9qRrKcRqPBcuoU0sZGDlRUML448mMwGPAv/izE\n+z9bvpxoamqKr7/+GqPRyOuvv76tO3gJTw4RxE+4O3fu0N3dHe2W9X0Rr6GF3+dDpVKRlpZGfn4+\nQ0ND1NTU4PP5GBoaYnh4mLBEwkBWFn+wxnrOpd2PZmZmoiG99G/33ByyUIgkpZJUnY7soiL219Wt\nCLBE8vv9aDQa1JEIkf5+kq9dY7S/n4K8PNL0eqZDoRUtP5f2LH7hhRf49NNPef755/H5fCvCNyMj\nA5lMRvONGxAKkV9cjGX/fqr37dvQsOtSsZzD4Yh+uFwutFot+37wA+bm5pAFg6QqlWhSU0kzGjfV\nHzy6lCsUQiKRUFFRQVZWVrRgKysrC7PZ/FCwLi0ner6+ntbWVu7evcuRI0ceaa5cENYiiUQikUSf\nhPD4RSIRrl27xsTEBC+99NK6vYt3o28++wxjjIYWo6OjeLxeyhZfTO93dQGwZ3Ho0eFw8P999hn2\np57izZ/+FIvFsm4xz1Iv64Hr18mZnyclHCYUCDDn8TDqdtMRCJBSWsqe2lry8/NXXElrtdrHehX9\n5e9+x4133uG1khLKTSbud3RgMBiYnZ1lZmaG7JwcDEYj/U4nLeEw2SdPMuNyUV9fz9WrV7lw4QJH\njx6lrq4Oj8fDla++YripibrUVPZkZaFPS4vuZDQQo4f3wsLCQ6E7NzeHTqfDYDBEP/QbKKLajM72\ndq7+5V9SND3NsUOHokvV5txuxsfGcDgc6DMyyM7KQqvVRpcTVfzwh0zYbPj9fk6dOvW9esMq7Awi\niJ9AoVCICxcu4PP5eP7557+3w2t2u50vfvlLXjEYVhT99Pf3o1AoopsWhEIhWlpaMJvNZGdnM+v1\n8ud371L84osYDAbGx8fZt28fe/fujbljzvJe1vF6SS/NZ+adOkWG0cjMzAwul4v5+XlSUlIeGubW\n6XRbXsTT2d7O+f/0nziWlMT+qirgwdpgpVJJXl4eHo+H4eFhppxOzJmZhGUy/p8bNwhZLDx7+jTF\nxcWEQiE+/vhjFnw+Ql1dPGsycaiiguQYc79uj4cWq5Xr8/OkHzxIckoKHo+HjIyMFaGbnp6+7W9G\n/H4/v/zP/5mksTFO6HQP/V8FAgEmJycZHB5m1ONh3GDA8sorTNrt7Nmzh7q6uh097SDsXiKInzCB\nQIAvv/wSpVLJqVOntrxx/07T2d5Oy6oK3M7OTjIyMlYU2Xi9XlpaWsgpKuKqx8OeH/2Ie21tvPLK\nK4TDYe7cuRMzkJd6WZ+J00ZzuaWrrJplvaxDoRAulys6tL18yFsikcQM6Ee5il56Y7Lf5yNJLo9W\nxk9OTuJ0OqmsrCQcDjM9M8PY4pCtz+dj1uvFX1/P8X/6T7HZbIyNjTHncmH99FP+t0OHKF58Q+Nf\nWMDtdq/4CAWDpKSkEFEouOb1UvdHf8TBBK1NP3/+PElJSZSVldHW1IR1jeVE/XI56sJCuoeGmJiY\n4OWXX+bEiRMPLU0ShK0igvgJstQty2g0cuzYsV3VqOO7WH3F2tHeTnFR0YqNEvyBADd7evjMauXH\n/+pfUVdfz7179xgbG+PFF18EwOl0rghko9HIN3/xFw9dca9ndnFHnxc20Mva6/VGQ3l5QC9dRS8P\n56WwXqsqeWmoPtnvR6lURguc3G43TU1NZGdnM+V0kpyUFL1SHR8fp7Gxkb6ZGQb27uV//fnPycrK\n4ne//CWHwmEGurpI0+lQyOUr1ugufajV6ujP2WYe91a7f/8+bW1tvPbaa9E3nz6fj+6uLlzLlhOl\nGY0YTSauXr2KTqdj37599PX10d3dTVZWFhaLhZxNbhwhCOsRQbzLeb1eerq7mZmcJOjzxax6BZib\nm+PcuXOUlJRQX1+fwDNODLvdHr0Kcjc3c9RiIUWjeaipQkipxOPxcPbsWSKRCL/97W85fvz4ihff\n6elp7ty5w4Vz5zjhdnOqtnbdJTCrtY6O4mhoeORe1qFQiNnZ2RXhvBTWwEMBrVQq+d1f/AV/YDZj\nHRggNTUVpUqFw25namoKq9XK0aNHyczMRKFQMD09zcTEBB2dnZjNZvQGA3/V10ekoIDpsTFOeb08\nVVKCXKFgdGSEouJiijew9vy7Pu5HMTMzw8cff8zLL79M+joduzo6Orh16xYNDQ1ULOuiFQgE6O3t\npb29nXA4jMVioays7Hs7rSM8XiKId6nVG90bFQqUcnnMIhmZTMbnn39ObW0tlie8fZ7H4+H//o//\nkWeOHiXk90evgpbeuEQiEb744gu0Wi1HjhxhYGCA27dv88Ybb6wYQfB6vfztv/23HPF68c7Pk5OT\nQ1Z29oYD2R8I8GubjTf/5b/c8nlgn8/3UDi3NDejvHSJmrQ0hoeHUSgUmM1msrKzycnJoa+3l6ys\nLKanpxkaHn7QDlSpZHh4mIqKCrRaLffm5lC89BLtn33G06EQpoyMaIOM1tZWTCYTBQUFCXvcsYRC\nIT766CP27t0bXTsei8/n49KlS8zPz3Pq1Km4Fe7j4+O0t7czOjpKaWkpFotlx1TEC7uTWL60C621\n0f1yhwIBuhsbef+rr3CZTPxPb75JcXFxAs52ZwmFQpRXVPD088/HvF0ikXDq1Ck+/PBDTCYTpaWl\ntLa20tXVxZ49e6L36+nuZq9CQU1pKfPz8wwNDdHU2Ehubu6GAnkzO/psllqtxmw2Yzabo/v5dt+7\nR7pCQVJSEunp6eTn56PRaHA6nfQu7vW7eo9nn8+HwWBg3759Dw48Nkbj1BRPZ2dzNDeXifFx2tra\nSElJobi4mMHBQYLBYNzdmbbzccfS2NiIVquNG8Kjo6NcvHiR0tJSnnvuuXXn3rOyssjKymJ+fp7O\nzk4++eQT9Ho9FouF/Px8UdAlbJoI4l0m3kb3y6kUCrJUKsrsdgaCQfy7uFXjVnK73esW3SiVSp5/\n/nk+/fRT9Ho9hw8f5osvvqCkpCRapLV8R5/k5GQqKysfCuScnJy4L8rb1ct6KXz7+vqwWq3odDqS\n1Wr279tHudnM5cuXgQdz3jKZjD179qBQKPD5fJSVlUWvpJ1OJ2VlZdHjKmQyXIuPWy6TkZubS3Z2\nNhMTE/QuVl6PjY8jkUrjDlM/rh7ew8PDDAwM8MYbb8S8PRwO09TURG9vL08//XTcpiCxJCcnU19f\nz/79+xkYGIhu/LB371727Nkj2lYKGyaCeBfZyEb3S8YnJrAODtJw4AAHZbIt3+h+t9pIEAPo9XqO\nHDnCl19+yeuvv05ubi7Nzc08tbhP7PJe1kuWB/Kg1YqztRVLnBaKCplsy3pZL4Vvf38/g4OD6HQ6\niouLOXDgAF6vl49HRrjf08PM0BDT09MUFxdTXl6ORqMhEolgs9nQarXk5uZSUVGBzWaju7sbmUyG\n3W5/sAdwIIBUrV7xuKVSKdnZ2ZjNZmw2Gzdv3mTW5SItLY2MNdphbuXjXovH4+HSpUs8++yzMduR\nulwuvv76a5KTk3njjTe+U2jKZDJKS0spLS3F4XDQ3t7Ou+++S2FhIRaL5ZF/5zZa/yHsfiKId5GN\nbHQPMLS47GJfTQ1Ji/fdro3ud5uNBjFAaWlpdI/ZY8eO8cEHH1BZWUlKSsqavazhQSDvraykt6+P\nttbWB/2MYzSmWGtHn41aK3z37t3L9PQ0IyMj3L1790EXLa0WpdHIYYuFa9eukZeXF60e9nq9yOVy\nzGYzk5OTlJWVEYlEsFgslJeXMz09jcPh4HJ3N/25uQxJJORqtSvCQCqVIpPJyMrKIi8/n8GBAayD\ng+Tn55ORkbFiqPq7Pu71RCIRLl68yJ49e2K21uzq6uLmzZvU19dv+Q5jBoOBp59+moaGBrq6uvjq\nq69ISkrCYrFQXFy8oeWC69V/vBujSYqwu4kg3iW8Xi9DjY0cjdNgPhKJ0N/fz8zMDDW1tdHOQbC7\nNrrfTm63O9qycSMOHTrEp59+Snd3N1VVVTQ2Nj4o5onTyxoezDWXlZbS29tLa1sb1THCONaOPuuJ\nFb6FhYUcO3YMp9NJT08Pt2/fJicnh7y8PA4ePEhKSgper5f3envxLSwArAiEubk5UlNTyczM5Pad\nOxQXF2Oz2chbnO/MyMggRaslOTmZU/X1jPzmN9y9exe1Wh1d5iSRSKKbKKSmpmLOzGRqaorh4WEG\nrVby8/IwGAxIpdJHetyb0draSiAQoK6ubsXn/X4/ly9fZmZmhrNnz8bdwOK7UqvV1NTUsG/fPoaG\nhmhvb+fGjRvRnafWejO4mfqPL27c4MCbb4r9i78HRBDvEj3d3RQFgzF/MeHBC3R3dzd+v5+ampqH\nXvQfd5HMTuV2u9et7F1OKpVy+vRp/uEf/oHDhw9z//59bDZb3F7Wy5WWltLX18e9e/eorq6OzjGv\n3tEnnljhazabqaqqwul0cvfuXbRaLXl5eRw5cgSTyfTQ3LRGoyH/4EE6r1596GdjKYhVKhXa1FRG\nR0fxer2kL6sE7rbZKDp0iEPPPMN7t29TazDg83hwOBzcbW5mfGyM/Pz8aMBLJJJoSE9PTzM0NITV\nasWYlUWfVMpbG3jcj8LhcNDc3Mxrr7224jmYmJjgm2++obCwkJMnT25p68x4JBIJBQUFFBQUMDMz\nQ0dHBx988AHZ2dlYLJYVO51tpv6jOieHAq+Xc++8A8uawwi7k+wXv/jFLxJ9EsL6uu7dwzg2hjE1\nNebtDoeD3r4+6g4cQLlGMHg8HqYNBgqe4Orp5uZm9uzZs+5WfMspFApMJhMXL15k7969tLW1UV1d\nzfj0NMPXrhGamcE+NobT6cTr86FJSlpxxanX6/H6fAxZrRgMBmQyGZ0TEygbGihbo5p3aVej5uZm\nvv32W6amppDL5eh0OtxuNxMTE6hUKgoKCjhy5Aj79u0jJyeHlJSUNSuWU9LTufDtt+g8HgoXu2EB\nWIeGMGdmolarkUqldHR0kJWVFd2Ja9br5VuPhyOvvUZaWhpOjwd/Tw8FJhMZGRkEgkHkMhl6vZ6B\ngQEmJicJLG4tqVQq0Wg0mM1mUlJSuNrRwf2kJLLz89Hr9ZuuMPZ6vXR2dNB17x597e0MW6243G7S\ndDoikQjnzp3j0KFDmM3m6PN4+/ZtGhsbOX78OFVVVQmralar1eTl5WGxWAgEAty+fZuOjg4kEgmB\nQIBrf/u3nM3M3HBzGJVCQb5azcWmJrKqqqJ7agu7j7gi3iViFQctp9PpyMvNpfnuXYqLi2POHT2O\nIpmdaHnRy53Ll9EnJWHMzd1U0YvZbKauro7Ozk5cLhfv/OpXOLu6mG1vJz8lBb1KRTAcxh0K0SSV\noi8qIqewkNTFN07FRUUMAPfu3aOgtJSWSIQXFgu/liy/8rVarcjlcjQaDVqtlpmZGaRSKXl5eVRX\nV0eHgzfDaDRScfYsl/78z9nv9aLVaAiHw3gWu3TBgzcNNpstut58qSXngbffjv5MRXcy8noJ+XzY\nJiepq6tDqVRSUlLC3NwcDoeDtvZ2pBIJRqORDIMBiVKJt7SUt37/9xkeHqa5uZnq6uo1e3gvt5F5\n0xmNhqLKSkpKSoAHV/rffPMNCoWC119/fcdsbKJQKNi7dy979+5lbGyM9vZ23vnVrzg6O4t8E9Mm\nAFqNRtR/fA+IIN4l4hUHwYNf7vLyclwuFz29vUxOTlJaWroiaLa7SGanWf3inS6VUjs8TFZTE/Zr\n1zZd9GKxWGi6eZO+zz/HEg7zP588iTU5mbuNjZxRq9EuhklRKMTkwADt/f0UPPUUWYvDj0VFRbgX\nFvizq1d59d/8G4xG44rw7e/vJxgMolQqiUQihMNh9Ho9eXl55OTkxKz+3az8wkKynn+ej4eHqZFK\nyUpKQq1WryjcSklJYXpuDlsoxL1IhAOrhj6NRiMH3nyTf/ybvyF7YoK66upohymJRIJWq0Wr1VJc\nXBwN5VstLXwzPY3l93+fjIwMKisrcTqdNDc38+tf/xqLxUJVVVXMx7iRedPi8XGu3LrFzNwcnaWl\nKFQqrl27Rm1tLdXV1Tu2nWt2djbp6en0f/01pRkZ3Lt3j+TkZLKzs9Hr9Rs6b1H/sfuJoeldwuV2\nM9XaSuE6HXyWmjksLCzQ3d0NQGpqKhKJhA6nE93Bg2QuDtt9n3W2t3P5v/03isfGOGkyUaLXkyKX\nE/J6qamooFCno1KjwdfdzdUbN1BkZmKMUwi3dEz7119TFwqRJpWiUiopyc1FptVycXAQid+PTqFA\nKZOhVavJkMvp7e9HmpaGUq2mY2KCewoF2adO0d3bi9Pp5Pz587S2tuJwOAiHw+Tk5FBRUcHBgwdp\naGigsLCQ9PT0LZvTnJiYQKVWc/jsWQYlEj5rasI7P49CoWDG46G1r48J4JzNRu7LL3P09dcpKCx8\n6DgGo5EbAwP0T06SqdGg02hiL9OSShnz+ehNS6Phj/4Io8nE3bt3aWlpedBcpbwci8XC8PAwV65c\nYWFhAb1e/9CmGmczM8nX62N+D5/PR/f9+xyrr6dUo+HX771H7+wsP/zRjygqKtqxIbyks6ODlM5O\nDhQXk52djUQiYWR0lKHhYSLhMEmrpjpWk8tkuKan8ZjNT8Tv9veRuCLeJTZaHAREhzCNRiO9vb1M\n2mzkFxZuuDhot1ur6MXn96NedsW1maKX6BrunBwUOTk0NTXR3dNDZmYmlTk5GLRa2gYHuT0wQFE4\njFEmQyGRIItE+OD8eWhowFRTgyY5mcHBQQYGBvj22285ceIE9fX10QYg6w3Rfld+vx+VSoXRaOSZ\nM2cIyOV45ueZSk0l4PVy3efj6bfeItlmo6y6es2RgtbWVsxZWbz67/89Hbdvc3uNnYyWeni/8NRT\n0WPV19czPT3NwMAAV65cwefzUVRUxJEjR5icnOQ3v/kNZWVlZGdnr7tuPhwOc//+ffLy8oiEw/R1\ndfG8wcA9p5Pd0r13eXMYqVRKZmYmmZmZzM3NMTY2xo0bNygtLY25FGvJ42qSImwPEcS7xFLVa3eM\nje7XolarqaqqwuFw8LumJlwNDdt8lokXr+mJ3+eLOfSp1Wg4YzbHbXqyeg23paqKa1ev0tPbi2Xv\nXoypqTxTXY1vzx66JyaYmpvDv7CA3+/HNzpK+/g4WSpV9P/khRdeYGZmhpGREWprax/bFnt+v3/F\n8OXMzAzPPvssGRkZ2O127B4PT588yf3797l//z75+fkPHcNut0crk1NTU8k8cwbfqVN0d3UxtWwn\no3SjkYY15uHT09NJT0+nrq4Ol8vFwMAAra2tuN1usrOzcTgcfPKb33BkZgbFYtFYLENDQ0hlMkLh\nMB0dHZSWlmIwGJCPju6aedO16j9SU1OpqKggGAzinp+Pe4wntf7j+0IE8S6yvEhmM9vuKZOTCVZW\nUlpVxW9/+1saGhooLy/fxjNNnHhNT5auBmOJV/QSaw13hl6PpaqKW01N5Ofnk7oYpEqZDLNKhXd8\nHPvoKIGFBSpSU5mVyfjDP/5jCgsLVwwzt7a28sknn3D27NloYdd28vv90e+zsLh/8NKORL29vdFC\np+LiYm7cuIHX611RYb6wsMDXX3/N8ePHV5yvWq1+5GVxaWlp1NbWUltby+zsLIODg3R2djLf14cm\nJYWrV6+Sk5NDfn7+isrgGZeL4ZERkjQaZqanqa2tjYb+bpo3jVf/MeNy4Xa7ObCsz3ksT1r9x/eN\nCOJdZKlI5tyqje7jWap6bVgcdnU4HFy+fJmuri6OHz/+vdo1Zr2mJ36/P+42eGu9eK+1hruosJCR\n4WGuXb1KZWUlg4ODjI2PQyRCVlYWdfv3YzabUavVaK1WPPPzD831VldXI5VKo2Gs1Wq/wzOwvuVv\nRhwOR7TJRiQSoa+vj7NnzwIP+m0XFhbS2tqKWqWKtllsvX+fNKMx7jDpd6HVah9sMhGJoK+ooDI5\nmcnJSfr6+ui8f5/srCwqKytJSkriVlMTAAX5+eTl5a2YC95N6+bXag4TDofp6+2luLh43U1EtrtJ\nirC9RBDvMpUWC7z9Nh8v2+g+1pyxPxCgy2Z7qOrVYDDw6quv0tHRwccff0xlZSX79+9/bA0OttN6\nTU/8fj+qOFdHa714L5/DWxIKhZiZmUGlUnHx4kUGBwexWCw8c/IkRqPxobWq8ebwLBYLEomETz/9\nlN/7vd8jLS1tow9503zLhudtNlt0GH58fJykpKToGzO73c7UyAifffQRZysqMCoUuKanyR4fJ6Ok\nhHf/w3/Y1jaLM5OT5KSkkLO4TaOlqgq7zUZPTw8ff/wxPp8PvV7Pc889t+abl90yb7pW/cfY+DgK\npXLd53czzWGEnWn3v/o+gSotFgw//zltTU2bKpJZIpFIsFgsFBUVcf36dd5//32OHj1K3rImD7tR\nrMBcLhyJMDY6CkCaVhuzmjbWi/fSHF4wGMTpdDI1NcX09DQLgQDWwUGeOXWK3Jwcxicm8Pl8MYuE\n1pvD27t3L1KpNBrG2zVSsfyK2G63R7fGXD4svXy5kFmrpXqxarvFauXM4cMkJyfj3+Y2i6vnTVVK\nJbm5ueTm5jLldPLXv/oVScnJcd9A7pZ501j1H/6FBYaHhqjZwNV8t81GQUPDjh+CF9YmgniXWqp6\n3WyRzHJJSUk8++yzjIyMcOXKFQwGA0eOHNkxjQ82a72mJ3srK7HZbPT19hIMBjEajRhNpuj8Ljz8\n4u31ehmz2Zi7f59JmYy0tDT0ej3hcJjx8XHKy8s5ePBgdMODgYEBbt26RWFhISaTKRr2G5nD27Nn\nz4owjjeM/qiWB7HNZqOhoYFwOMzg4CCvv/76QxXnw+EwY+PjzLvdFBYWRudot7vNYrx5U7vdzp7K\nSvR6PZ9//jkvvfRSzJ/Z3TRvurr+Y6C/H7PZvO7v4qzXG7M5jLC7iCDe5b5LkcyS3NxcfvjDH9Lc\n3Mz777/PgQMH2Lt3745ff7naek1PVCoVeXl55OXlMT8/j91up7OjA6lUitFkwmg0EgiFCEQitLa2\nMjAwgNPpJBAOk5yaSkN1NQuBwIOvkcnQaDTU1NZG13iq1WoqKyuZnZ2lr7+f0dFRiktK0KWlbXgO\nr7y8HIlEwmeffcaZM2e2fGOCpSD2eDwEg0G0Wm10z2Kv1/tQxbkpM5PPz51bc/nMRirOH8Va86b+\nhQVsk5NkLG5TefnyZb766itOnz79UIvH3TRvurz+44hGg2t2lvoDB+J+TayuZ8LulJimq8KOI5fL\nqa+v55VXXqG/v5+PPvoIh8OR6NPalPV2RFouOTmZwsJCDh48SHl5OXOzs3zzzTe8+8UXfPrll4yN\njVFbW8tPfvIT3v7JT3CZTEw6HLQ0N2MymQgGApSVl0e3mVxOq9Wyv7aW3Nxcurq6aL53j85QiPIN\nzuGVlZVx+PBhzp07x9TU1Kaeg3jC4TChUAilUonNZsO0WNTW19dHaWlpzIrzudlZwuFw3Kvz5RXn\nW6WsvJwBuRz/qv/P8bEx9Hp9tC/20WPH0Gq1XLx4kTm3O3q/pXnTjT7nO0GlxUL1W2/xF/fu4U9O\nJhgOx7yfPxDg3ugoH09NUSM2fPheEEEsrKDT6Xj55ZexWCx8/vnnXLt2jYXFrfN2urVevGOJRCLM\nzs4yMDBAV1cX8x4PRSUlqKur+b2zZxkfH+fevXv09PQA4NFqudjcTFVVFXNzc6Snp2Na5yrEZDJR\nf+AAtkCA4UCA5ubmDT+XJSUlHDlyhHPnzm3ZGyK/3x9tRWm32zEajQSDQYaGhsjKymKosZHyZRXn\nPp+P3t5e6urq1j2HcpMJ682b+Hy+LTnX6LypzRb9XCgUYnx8nAyDIdr4RC6TceToUdRqNdeuXmV2\ndhbYvfOmoUiEfW+8QeiFF/i1zcYlq5WOsTF6JifpGBvjktXKr202phoaeOFP/1SE8PeEaHEpxJSR\nkUFFRQXDw8Ncv36dlJSUbZmz3EoKhQKnx4Ovu5vMGJW04XAYl8vFyMgIvb29TE9Pk5ycTH5+PsXF\nxUz6/WScPs1zL71EdXU1KpWK+/fv81d/9Vf4gkGQSjEGg/jm56msrNzQ0L3b7+eOVMrrf/InOJ1O\nrl69ikKhICMjY92vT09PJy0tja+//prs7OzvvLvO/Pw8VqsVi8VCc3MzxcXFOJ1O/H4/kXAYdWsr\nJYtD4eHFBhmZmZnk5eVhtVpXtJ5cbTvaLKakp3P1xg0KlUpUCgUTExNEIhFSUlNZ8Pujw7FymQyz\n2czo6Cijo6PIk5JoDIc58tpru2pHovn5eS5cuMDLL7/Mnupq9hw+jMdsZtpgYNpgwF9Sgu7gQZ5+\n9VXKKit31WMT4hNzxMKa1Go1J06cYGJigsuXL9Pd3c3Ro0e3rPHE8l2Rgj4fcrUaXWbmpnZFWm11\n0cvSMiOHw4HT6UStVpORkUF1dfWKQpjVRS8ymQy1Wo3L5eKtt95Cp9Px8Ucf8X/9+tf8rKGBmZkZ\ndDpd3C31ls/hLe1JOzU1xfXr12lra+Pw4cPrVqoXFhYikUj4/PPPefHFF6PDyY9iaX44EolEr4i/\n/fZbSkpKmBgcXFFxPjQ0hEQqJTc3F4lEgikzk8nJSYqKitY8/lYvF1o+b/pSZiajo6OUlZcz73Yj\nX/WGICkpiaeeeopL16/zyytXOPMv/sWumze9ceMGlZWV0eVrW1H/IewO4opYWFdKSgqVlZXMz89z\n6dIlIpHIiorgzbLb7dy8eJFr772HurUV49gYersdldXKVGsrV65dw+nxkJKevul3/cnJyUT0es79\n7ncwOcnQ4CA+nw+dTkdxcTF5eXmkpaWtuLJbCsz9b70V3eCgpaWF69ev88wzz7B3715SU1MZGR3l\nwIsv0tLdzZTVytTYGIGFBeQyGSqVKvp8+AMBOiYm+NbjYf9bb60YPkxKSqK8vJyUlBSuX7/O0NAQ\nGQw7AIwAACAASURBVBkZcfdH1ul0pKenc/78eTIzMx+5HabT6WR6ehqTyUR/fz8Wi4Xr169z/Phx\nBu/fR2+3o09OZsblYnBwkKrq6ujyIIfDwcLCQtxwm1nc77poC+dljSYTsqwsPjp/noWpKarLynDN\nzCCXyVYs8fIHAvRNT3NPqcRfVEQoHCYjI2PXNKxZ2g7x9OnTCdsvWUgcSWS3dEYXdoS5uTmuXr3K\n3Nwcx48fj27AvlHL16jGa0bSbbPREg5veI2q1+vFarU+2Jh+YoKA34+npYUTej2W7Oz1m578+MdU\nWiwsLCxw8eJFPB4Pp0+fJiUlhUgkwhdffIFOp+PQoUPY7Xbampro+vZbdHY70rk5JJEIWp2OcEoK\nk1otBQ0NVMVYw73c0vDvnTt3KCoqor6+Pm4gj4yM8M033/Dcc889Umer7u5uRkdHyc3NxWq1kpub\ny8jICKdPn+bbL7/EcO0aZUYjd+7coaysLFqxPTAwwJTT+WC4fnGOOZaOsTGmjh3j+OnTmz639bzz\nzjvg8xEcHkY6MEB+aio5ZvND6+arnnoKm83G9evXkUqlnDhxgtLSUmB7RmC2Qjgc5v333+fgwYMU\nxtjpSvj+E0EsPJKBgQGuXbtGbm4uDRssillao3omzm46yy1dqa5VGTo3NxfdycjpdJKbm0tRURF5\neXkolcpoYFrXaXqyFJhOp5Mvv/yS3NxcDh8+HF2W1NLSwuDgIC+//PKKqxWfz8f/z96bBbd5pmfa\nF1YCBAmABAHuG7jvWklt1mJZki3Ltix3ddtuz3SSSaZqkkxqKiczqclBH3TN5GQqVfkPkqpk0p3p\nTrttt9OybLEtWftCidRKUtz3BaQIcMG+L/+BSIQUQRKSSFm2vqsKBYoEgQ8Ahft7n/d+7qe3pweb\nxcKM2Yx5ZoZZp5PcvDwqKyspKiqKK7LS5/Nx9+5d+vr6qKuro7q6esWxdyaTifPnz/Paa6+RNT/n\nOF7a29txOBzAoyrH6OhoNNilrbWVuU8/Jc3pRKlUYjQaiUQiDA4OYrPZqKmpWXMy1OWREVJ++MN1\nL6dOT09z9uxZ3n//ffx+P7/4+c9JTUoiTatFplSi0euXiWlzczN9fX2EQiFKSkrwzs1F51LrZTLk\nUin+YDD6d7CRKWFr0draysTEBG+88cZzf2yBFwNBiAWeGr/fz+3btxkYGFhzkITFYuHM3/0db6el\nPdHACrvHw6mZGY7M96gujM8bHh7G6XSSn59PYWEh2dnZK4rXYsFcCD15/MO7t7eXmzdvsmvXrugK\nCh7N7/3mm29499134yoJRyKRaDbywMAAarWa4uJijEbjmuEMNpuN5uZmZmZmaGhoiKZePc7ExATn\nzp3j4MGDZMc5iQvg9u3biMViRkdHqamp4dq1a3z00UdIJBI8Hg//31/+JftCIbZv2YJIJKKvrw+3\n2011dfWaEai+QICPzWbe/6u/WvfV5YULF0hLS3uUQQ2cOnWK7du3r1oViEQiXLx4kY72dsYvXuRQ\nZiavVFevWwVmvXC5XHz++eccP358w3PGBV5cBLOWwFMjl8vZtWsXpaWlaw6SWG0q0mokKxQUud18\n/q//SkpmJsFgkMLCQnbs2EFGRkZc+2mrmV5CoRBNTU1MTEzw1ltvLXGGezwezp8/z759++LelxWJ\nRGRkZJCRkcHOnTsxmUwMDAxw+/Zt9Ho9xcXFFBYWRtuIFqPRaDh8+DATExNRQ9eOHTuWGbSysrI4\nfPgwZ8+e5cCBA3FHk/p8PtRqNbOzs9hsNvLz86MnLy6XC5tSiXj+uLq7uwkEg9TU1Kw6lH6BjWoX\ncjqdjI2NsWfPnuj3Hp8IFQuRSIQhLY2mq1d5LzMTUTCI+eHDmK/VRqeErcaNGzeorKwURPglRzBr\nCTwziYmJlJeXEwwGuXTpEn6/n/T09KhIejwemj75hP0Gw5pTZGB5m1HY66XTYuHYf/gP7Nmzh9zc\nXJKTk585+cvhcNDY2IhUKuX1119fIraRSIRvvvmG3NxcKisrn+r+RSIRGo2GgoICqqurkcvl0ZK+\nxWJBJBKRnJy87GQiOTk52h519epVpqen0ev1S8Q7KSmJjIwMzp07F21zWov+/n5EIhE+nw+Hw0F1\ndTVqtZpAIEBjYyMNe/bQ3deHb2gIqVhMVVVVXCJs93i44nZvSLvQ3bt30el0S/ZOb9++veagEovF\nwvWf/5wPS0qwTU+TmpoaNZytZOBKkMnIUyi4dOsWmdXVG94eZDKZ6Orq4uDBg4JB6yVHEGKBdUEk\nEmEwGCgpKYmuADUaDRqNhq7OziU9qrEIh8PMzs4yNjZGf38/DoeD5ORkCgsLMRYWEgkGwWhctx7V\n0dFRzpw5Q1VV1ZL94AXu3buHzWZj//796xL1KRaLSUlJoaioiMrKSiKRSLQcbrVakUqlJCUlRR9L\nJBKRlpZGRUUFVquVy5cvR/OxF441KSmJzMxMzp8/j0ajWdMh3NXVRTgcRiwWY7Va2b17d1Tsk5OT\naWhooLm/n66eHg5WV6NcYXbzYmI5zteLQCDApUuX2LdvXzQfOxwOc+fOHbZv377q+9J86RLGiQkK\n0tLQ6XQMDg2Rk52NxWLB7XavGB2aIJMhcjgYFokoLClZ1+ezmFAoxJkzZ9i5c+e6x5gKfPcQStMC\n60qsQRJht5ucVYw+ff39DA0OYpjPe87Pz19W4lyvHtVIJMKdO3fo6enh0KFDMV3fJpOJzs5OTpw4\nsSErFblcTllZGWVlZbjdbgYHB7l9+zYOhwOj0UhxcTHp6enAo5CSbdu2UV5eTktLC5988gnbt2+P\nZlIbDAbeeOMNfv/73xOJRJb1+S52Ct+9ehWJXI5crWbz5s2IxWL6+vowm80cO3aMxsZGyisq0O/Z\nw1effkqd1frEYzbXk+7ubrKzs5f0rXu9XhQKxaoi/Phc6oSEBKqrqmhvb6eoqIhxk4m+vj6Ki4tj\n3s9Kc6nXk/b2dtRqNfn5+Rty/wLfLQQhFtgQFg+SOPnVV7wRDhPJzIz5wadRq0lNTcXn9xMMhRDF\nEL/1GGnn9Xq5cOEC4XCYEydOxNxndLvdXLx4kQMHDjyXKVSJiYlUV1dTXV2N3W6nv7+fy5cvEwqF\nKCoqori4mNTUVJKSknj11VejrTkLgSBZWVmkpaVx9OhRGhsbiUQiGI1GLBYL7S0tS5zClQMDeAIB\nLH4/HRMTOKenGTWbOXHiBGfOnEGv10dXyYaMjKces7kehMNhHjx4wMGDB5d83+PxrCmOseZSq1Qq\nyisq6OrspKqq6lG0aW8vpSUly062VppLvV44nU7a2to4fvz4ut+3wHcTwTUtsOGc/rd/w/fZZxRq\ntRSXlCwZO7gYp9PJ5OQkFosFrVZLZmYmWq0WkUj0zD2qZrOZc+fOUVxczLZt22KudMPhMKdPnyYr\nK4uta0y+2WhmZmbo7+9nYGAAuVxOcXExRUVF0dXh4OAgzc3N6HQ6Ghoa0Gg0zM7O0tjYSJpOx3RT\n07Je7WvXruHxeEhOTqZu82ZOXb3KiFqNvLKSnbt309DQsOw44nGcbwSDg4O0t7fzzjvvLPn++Pg4\nra2tvPnmmyv+7kJPdGWM9q6pqSn6+vrYvHkzg4ODSCSS6PjJxWxkT/Q333xDamrqt/43JvDiIKyI\nBTac3KIi5oxGshQKOh48iJafHzfbJCUlUVJSQmFhIWazmd7eXqxzcyQplXR7vYjT059KBDo6Orhz\n5w779u1btRR4584dxGIxW7Zseernul7odDp0Oh319fVMTU3R39/P7373OzQaTbQd6oc//CHt7e18\n8cUXlJSUsGXLFoqLivjqf/0v/qC2luJFDuFIJILL5QIgPT2dSZOJcr0eg9PJ/fZ21EeOxDyObytm\nsa2tjboYj/u4YzoUCuHxePB6vXi93kel+O5uQg8fInU6CQQC+AMBgoEAgUCAUDiMx+0mHIlQVVVF\nV3c3nZ2dVFRULPEJrEcFJhbj4+PMzMxw4MCBdb9vge8ughALbDglpaV8IpWyIzWVrampDA0NcefO\nHYxGY8yypsfjwT4zQ2hqiky3G//EBN1WK7sSExnr7eWuWh1XAEMgEODKlStYrdY1+zTHxsbo7e3l\nxIkTL9Qc5sXtULt27Yo6yW/duoXBYKC4uJh33nmH9vZ2/vEf/xF/ezt/tmsXo/39JCUkRPfAg8Eg\ngUCASCSCVCplZGQEsURCSX4+W3W6dZ8n/LQsTIMym81IJBJ6e3ujAuv1euns7MRmszE1NYXX6yUU\nCqFUKlEoFNFrfzhMKBIhWa1GJpUik8mQyeXRrxdTUV5OT08PHR0dVFZVRV39gVAI2RO22q1FKBTi\n+vXr7Nq1a82+bIGXC+GvQWDDiY60a2mhJjub0tJSbDYbff39TE1NUVxcHF3hTk5MMHLrFjkiEUXJ\nyci0WtqtVg5v2UK5TsfDhw/ROZ24GxtpbGqi/rEs5wWsVitnz54lPT2dd955Z9UPPqfTyaVLl3jt\ntdfW7E/9NhGLxeTl5ZGXl0cwGGRkZIT+/v5owllCJEKG3c744CDZ8zGWkUiEzPn+a6fLRWpKCoOD\ng4TDYcqMxmg618I84QNHj67rMQcCgSVCuvD14/9euI5EIvT19ZGRkcGDBw9QKpWIRCLMU1P4HQ7m\nxsdJTE4mPy+P6pqamCdXaTodcxYLmXE47MViMeXl5fT19fGgvT0aXmIJBEhZ55OStrY2tFoteXl5\n63q/At99BCEWeC48PhVJo9GwZfNmTCYT9+7dIycnB4lYjKm5mTqNBuX8ysUeCDyailRUhD45mZyc\nHKxWKxOTk4SGh/nqf/9vrH/6p+zctSv6WIODg1y7do36+nrKy8tXPa5wOMz58+epqal5qvzmbwup\nVEpRURFFRUX4fD66urq4cP06JXI5IrGYgf5+VCoVfX19RCIRkpOTsdlsKJVK/IEA27dtizqzIX6n\nsN/vjymgK12LRKIlq9WFa4VCQUpKypJ/K5VKPB4PJ0+e5IMPPsBqtdLe0sLIIsNZ+sOHyG02Ao2N\n/NvZszErI9EKTCAQ0/H9OCKRiJKSEgYHB2lra6O0vJwhqZSGdRxesWDQOnHixLrdp8D3B8GsJfDc\n6OrooPVXv+JoRsaShC2v10t7eztjd+6wPzeX1HlDkj0QoNFup66+nooYUY4+n4++kRH+X38/Ne+9\nR0NDA1NTU4yPj3Po0CHS0tLWPKaFPt4jR468UCXpJ2UhK3pHRgYWiwWz2YzZbMblchEOhyk0Gjnz\n9dcUFhby2qFDGOaFKxgMRvdQLw4NwaFD5BcUrLhqFYlEy0R1tesnLcE2NTUhlUpJVqliDgd58OAB\nGRkZpKWlrRpNeeH0afTzFZgnYWhoiOb+fjQffsgb7777RL+7GmfPniUtLe2F8B8IvHgIK2KB50ZF\nVRV89BGnHvuAVSgUJCsUVKekYJ2exulyMS2T0SkWs3UFEYb5/tDSUn6cmMg9l4tf/vKXeL1e3n77\n7ZgRko8zPDzM4ODgC7cvHItwOEwwGCQYDBIKhZZcB4NButvayHQ6mZubQywWYzAYSEpKwmw209ff\nz28+/hiPx0NeXh63b91CKpMhFomQyWQolUpkcjkiu53RgQEys7JQqVTR8YyLV60bubfp8/no6+uj\nuqqK1l/+krdjDAcJBIPR93a1aMrHKzDxosvIYGx6Gsf0NE6n86lHTi5mbGyM2dnZZa1YAgILCEIs\n8FypqKoi7S/+YkmPqhbofvCAcqWSGZmM+w4HCpGIfVu3rijCi0lPSKD1zBne/x//g7KyMrq7uzl5\n8iRpaWlUVlaSl5e3rD3F4XBw5coVjhw58lRtOOFweIkQPsvXK4nr4n/Do3K0VCpFIpEs+3p0cBC1\n3Y5NKkUskSAWiZDMz0mWSaUkJCQgkUiYmppCLBYjEokQSyRIJBJkUimJKhWecBiX3Y7X60UsFiOV\nSgmFQoRCISKRyIafrHR3d6NWq+n64ouYIgwQ8PuXGa7USiVHMzKWGM70ej1b33+fxhgVmJVYSAk7\n9t/+G8FwmC+//JI333zzmXKgFwxau3fvjisuVODlRBBigeeOXq/nwNGjeF99ld6eHu7evImtr+9R\nOEVyMn+akUHA56O/r4/W1lZKSkpihmtEIhHGxsaYmJjg1dxcpFIpCoWC6upqSkpKouEYdrsdo9FI\nfn4+crkcn8/H+fPnycrKYmxsjKGhobgFceHrSCSyRBAXi+Ja309ISIjr9ou/XivhK1kmIy0SoSwr\nC5/fz4TJhMlkwuFwIBaLqW9oIC83l4dTUzjsdsrLy8nPzycQCOB0OrHb7UyNjjI2MYHs9m0SEhKi\nxymVSolEIvh8PmQyGYmJicsuSqVyyb/jqUgsZiHAI1EkWnU4SCAQQBbjvtVK5TLD2UoVmMdZKSVM\nKpVGxXit+NCVaG1tJTU1Ne7BHAIvJ4IQC3xrLPSoWqemSKusXBLAoJDJ2LRpE5OTk9y/f59QOIw6\nOZlQKEQ4EiHg9zMxMUEgECA9PZ05i4Ubv/41HXV1SwROo9Egl8vp6uri0qVLGAwG/H4/SqWSgoIC\nxGJxdC8zHhFduLxoIf3a9HRG7XakTifT09Oo1WrEYjESqZSi4uJHzzc/n2AwSFlZGZ0dHczMzFBS\nWhqtGMxpNNT84Afk5eczNzfH7Oxs9NrtdqPVaklKSoqWqmUyGSKRCIfDwdTUFG63O3oBYgr245eE\nhAREIhEDAwMoFApsbW2UPjZtaoGFE6CVBofEMpzFqsDEmxJWUVGBVCrlq6++4o033kCn0z3Re+Jw\nOGhvb+e99957ot8TePkQhFjgWyfo9SKPsfcoEonIyspCm5JC882bqFQqDAbDo9CGvj6qqqsxFhYi\nlUoZsFjI2bSJV996a8XHCQQCXLhwga+//pqtW7eiUCgoLS3d0ISo58HU1BQjo6NcGBzkv5SVUWg0\nMjw0REJCAiqVCqlUik6nQ61WI5PJSE5KYseOHTzo6GBwYICphw/JLShgSCrl/YoKFAoFqampFBUV\nRR8jGAwyNzcXFeaFi9/vJyUlhZSUFAoLC0lJSSE1NRWZTLZEmBcuc3NzS/4dCARQKpW0tbWhTk4m\nb3CQh/P7wIsvMplsxdXwAitFUz5egZlZlBKWotfTsEpATElJCRKJhMbGRo4cObJsJOVqNDU1UVtb\nuy77zALfbwQhFvjWkSoU+Of3QWORqFRSX19Pe3s7oVCI2dlZysrKlqxe4glgcLvdTE1N8T//5/8k\nFArR2dnJb37zG/Lz86msrFzSzvOiE4lEGB0dpbW1FZfLRW1tLfI/+AMGvvqK1JkZ0jMymLZYqKys\n5N69e5TNt+Lk5OQwOjrKli1b2L5tGx0dHYhEIs42N2PbuXPFx5NKpdG918X4/f4lK+eRkRFmZ2eJ\nRCKkpqZGhVmv15OSkhKdorRAKBRicHAQt9uNOiGB9MlJIpEIDocDv98fvQSCQSLh8JrjHlcbDvK0\nKWFGoxGpVMrXX3/NoUOH4mpzGx0dxWq18toGRGQKfP8QhFjgW0ebno4lEFj1NgqFArlczt27dzn4\n2mvLBGGtAIZgMMi5c+fYtm1btK0pPT39UZZyby8XL15EKpVSWVlJSUnJMkPQi0IoFKK/v5/W1lak\nUil1dXUUFhbi9/tpbW2lx+nkD8vLmRwZoba2FpvNhkarjbqddTodw8PDWK1WtFotmzdvpuX+fXoU\nCrZXVPDpp5+yfft2ysvL4zJnyeXyaPLXYjweT1Sgp6en6evrY3Z2FplMRmpqalSkU1JS6OnpYc+e\nPUz29ZGTmUlBjFVnJBLBHwisOc96o6Ip8/LyOHjwIN988w2vvvoqOTk5K942GAzS1NTEnj17BIOW\nQFwIQizwrbNWAIPH46Grq4vExEQOHDjA4MAA6uTkaDnRN7/Pt1oAw40bN9BqtVRWVi75vkKhoLa2\nlpqaGiYmJujs7OTWrVvRucHPMit28QjCoNeLVKFAm57+VAMT/H4/XV1dtLe3k5qayu7du8med5Rb\nLBa++eYbiouLKf3Lv+SffvYz/njzZlQqFQODg0sSpkQiEdk5OYyPj6PVavEEg4zodJS98gper5e9\ne/c+EvR5cYynFzsWSqWS7Ozs6DEu4HQ6owI9MTFBS0sLly9fZv/+/UyNjhIcGUHNo2lJSqUyuhcv\nEolIiMMAthHRlAtkZ2dz+PBhzp49S319PX6fL+Z729HRgU6nW1WsBQQWIwR6CLwQrBTAsLCays/P\nj8YxmkwmJicnqaurQyaT0W4yMd3QsGI8Y19fH3fv3uXEiRNxrXRdLhc9PT10dXWRlJREZWUlRqMx\n7tVNrBGEcqkUfzAYNQfFk5UNj8rp7e3tdHd3k5ubS21t7RJx7Onpobm5mVdeeYXc3FxOnToFkQju\n+/epCIVwjI3xyq5dS449HA5z7cYNEtLT6VMo2PqjH1FRVUVnZyd37tzhwIEDuFwuWlpaKCwsZPv2\n7ctKyuvF1atXo3v1169fx/7b31Kn0eByuaKzh1UqFYkqFarERBJVKpSrzCO+PDJCyg9/uGGDKiwW\nC1fPnuXqZ5+xNzOTsvT0Je9tVyjEWCDAH//5ny+bDS0gsBKCEAs8F9ZaHVosFs783d/xdloaaqWS\ncDjMyMgIZouFivLyZb2cg0ND2G028ouLOW21cmSFgQVzc3N8+eWXHDt27IlXt+FwmNHRUTo7O5me\nnqa0tJSKiopV9ym7OjpiJkItZrVEqAWsVittbW0MDQ1RUlJCTU1NdAQiPCpRNzU1MTk5yeHDh9Fq\ntZw7dw6JRMKBAwewWCx8+dlnjDY3cyAnZ5lTuGl6GmVhIT/+T/9pyes2MTHB+fPn2bx5MyUlJbS0\ntDAyMkJ9fT2lpaVP9Pqthdfr5Te/+Q0/+tGPovGWn/zN3/DB/OsWDofxeDy4XC7cbnf0esH1vlic\nVYmJiCQSPjabef+v/mpDDHiL39vspCR6u7ooKChYUpa/29rKdDCI2WBY8b0VEHgcQYgFNpQnWR1O\nm820/upXvJaaysTICCKRiPLy8pir2Egkwp22Ns7OzHD8r/+ayurqZbcJBoP87ne/o6amZs3M6bWw\n2+10dXXR09ODTqejsrKS/Pz8JW1MXR0dtP7ylxxdIYxi2X3OB0jULepdnZqaorW1lampKaqqqqis\nrFwmKi6Xi2+++YbExET2798f3TsfHR3lrbfeiq5+F5672+VaNk84v6CAkydP8t577y1z9TocDs6c\nOYPBYGD37t3Mzs5y9epVpFIpe/bseaZy/WLu3r2L0+lk79690e/FE00ZDIXwLBJml8uFy+Wid2aG\nsdpaXjl0aIlRbD0GecR6b90eD+3t7eTm5JCVlcXMzAxDQ0Ns2bIFp8+37L0VEFgJQYgFNoynWR1a\npqc5/bd/ywG9nv11dShi7AsuBDDc9vkYFInI0uspLy5etsq+dOkSAPv371+35xQKhRgaGqKzsxP7\nfDBGRUUFbrd7yYo+XuweD19MT1P17ruMj49HHdBlZWUx4yQnJia4cOEC1dXVbNq0CXg05OLmzZsc\nP348Gnxis9k4deoUP/7xj1fseb5x4wYikYgdO3Ys+1kgEODixYt4vV4OHTqEQqGgq6uL27dvU1pa\nytatW5/J0BYKhfj1r3/NsWPHSElJiX7/8cpIvNg9Hv5taoptH374qCd6UZuVSCSKivLi63jL7asd\n00JOusFgYGpqipKSkujzsXs8nJqZWbFaIyCwgCDEAhvC06wOf9HWhru4mCOvv451cpKRFQIYHvj9\n+JOSkDgcVEulzA4NkZ6Whk6vj66yRVlZBKVSfvKTn2xYPvLs7CydnZ0MDAxgGR1l5+wsu+J0G8Oj\n0rfZbOZSezv9paV88Ed/RGFh4YrC2dbWRmtrKwcOHIgagaanp2lsbOTo0aNL9o7v3r2L1+tl16Kp\nVI/jdDr5/PPP+eCDD2ImYUUiEe7cuUNvby9HjhxBp9Ph8Xhobm7GZDKxc+dOjEZjXM/1cXp6ehgc\nHOSNN95Y9rOVhoOsRKzKwmIW+pcXt1nNzc0hl8ujwrzYxf3438taq3Sfz8eFCxdQKBQcOHBgyc/a\nTSZMmzaRZTSui2lP4PuJ5Kc//elPv+2DEPh+YbFYuPp//y/H0tPj+iANBoMMDw6i9nrxSiRsf/11\nqjZtonznTtwZGcylpTGXloavqIjZ1FSCDx/yiljMkZwcStLSKMrJwWIykZWSQlV2NnmRCAMXLhCI\nREjKzUX/BCEMT4JSqSQvLw+j0cjtkycp8Hp5ODFBOBwmMTFxRXNXMBjEZDLR3d1NIBCgqrgYcyTC\nrqNHY64yA4EAly5dYnJykjfffDO6unK73Zw+fXqJg3qBq1evsmXLFlQq1YrHL5fLmZubw+l0Lms/\ngn8PVFGpVJw/f57k5GQMBgMFBQUYDAaam5sZHh7GYDA8saBcvHiRbdu2xcxx1hsMSDIzudTSgsjp\nRKtUxmxb8gUCdD58yBW3m80rzKUGkMlkqNVq0tPTyc/Pp7y8nE2bNlFYWIharSYQCGA2m+nu7qal\npYWenh4mJiaign3niy84mJmJbIUTukAgwPTMDAkJCdGAEwCLw0HP2BhfnzpFttVK+sOHpFosJIyM\nMNPezrWmJmbdbpJSUlZ9nwS+/whCLLDuNF+6hHFigrw49hJdLhft7e0kJiayqaYGudfLsEhEYUkJ\nUqmU9IwM8o1GCsvKcHs8mH7/e97JzCQvNTX64SyVSEid70dVKBQMDgywpaKCTXo915qakGRmbpgY\nA/R0d6MbHGRPZSXJycnMzc3R39+Py+VCNj9dCsDn9zM6OkpPby9SiYTi4mJyc3NJUqmwzc3hzsgg\n/TFBtNlsnD59mqSkJA4dOhTd7wyFQvz+97+PtlktZnp6moGBARoaGtY8drVaTVNTE1VVVSuuxFNS\nUsjOzuby5cv4fD4yMzNJTk6mvLwcr9fL5cuXCQQCGAyGuKI/x8fHMZlMMUviC+gNBjJrahgW2FQV\npQAAIABJREFUibjW2/vo9XG7sbrdTNntdM7OctXjQd7QwK533yW/oGDNx12MSCQiISEBjUZDRkYG\nhYWFVFZWUldXR25uLomJiXi9Xlqam4m0tBCansZssWCz2XB7PAQDARCJkEql9PT0kJGeTmlpKWNj\nYzhdLqbcbq41NVFit7NVLCYnL4+inBxSVSr0yckUaLVUKJV4e3u5fvMmsvT0Df0bFXixEUrTAuvK\n487X1TCbzQwMDGA0GqOpVr5AIKbzNZ69Q5vNxrlz5yguLqZuvn3leezTXTl7lrSmpiVZ2YFAgCmz\nmcmJCcRiMX6/H6fTSXZ2NoWFhcsMRJ0TE8zs2cMri5KYRkZGuHz5Mtu2bVsmthcvXiQcDsccrXfz\n5k2kUinbtm2L6/gbGxsxGo1rGto8Hg9nz55FqVRy4MCB6Ord5XJx48YNLBYLu3fvJi8vb83HKy4u\njtuF7fV66e3pWWY4ex6l3YX3tjwjA7fbjWO+D3p2dhbr3Bw2mw2JRMLBgwdJS0sjHA7z5dWrTAwM\n8OOCArRyORM2G67iYkoqKmI+xlqldYHvP0Kgh8C60tfbS2EwuKoIh8NhBgYHsc7NUVtbu6Qst1Je\ncHtLy6pTeeCRIOjS0nC53dEe1FhTedabWFnZMpmMnOxscrKzsVqtjI6OolAocDid3LlzB4VSSeL8\nrN/ExER8Hg8uux34973Znp4ejhw5six68/79+8zNzfH2228vO5ZIJEJ/fz/Hjh2L+/g3bdrEtWvX\nKCsrW3V/W6lUcuzYMa5du8YXX3zBkSNHSE5ORqVS8dprrzE+Ps7169fp6upi165dS9qtFlgQscU5\n1mvxtNGUz0IkEsHpdGIaGSFiNiOy2aK9zUqlEr1eT8H8NK979+4xODjI4OAgco0G6+wsryYk4Jmd\nRZ2ejkQsJuT3r/hYscY4CrxcCEIssK5Yp6bQryLCkUiElpYWkpKS2Lx5c0wj1eN5wR6Ph9GWFnav\nUrpzOJ3Rflfr3Bzt7e1s2rQJmUwWcyrPerJWVrZWq10yRi8UCuHxeHB7PHg8Hubm5hgwmbgXCmGa\nm4uK9oEDB/B6vVit1ug0peHhYTo6Ojh+/HjM125ycpLExMQnGtuXlZX1aKbx6Cj5+fmr3lYikbBv\n3z4ePHjAF198wcGDB6PZyzk5OfzgBz+gtbWVTz755NGeskZDxO+PGpQezrdlvUjRjwt52bOzs8zM\nzES/lsvlTE5NoQsE0GVlkZeXtyTta4G6ujos09MUGY3829WrGB4+RJOWhs/nY3JyEhITkayRCvY8\nThgFXlwEIRZYV1aapLSAaH5fze12YzabycjIWPbB9nhe8Fqr7GAwSHdXF8XFxSTOrzR9Ph8POjqo\nralZcZW9XsSTlb0YiURCUlLSkv7dKaWSI4cPMzQ8zNatWzEajTgcDjo7O7HNr8YAuru7OXDgAGNj\nY2i1WjQazZIyd39/P8XFxU/8HOrq6mhtbV1TiBeorq6Ohohs27aNivmy6+zsLNbJSUL9/biGhzEH\ngxQXFqJUqTC53TT29PD6H/wBlpyc577yC4fD2Gy2ZaLr9XqjzunU1FSKi4tJTU0lISGBttZW5j79\ndNWpS+np6YyPj2NzuQj5/ewvK8PvduP1+ZiensYSDlNcU7Pm8W30CaPAi4sgxALrylqrQ4Bt27Zh\ns9kYGxtjdHSUnNxcMjMyoqukx/OC11plT09PEwqFlnywFxYW0t3TQ3d3NxUVFatO5XlW1srKXgtf\nIMBtmw1NXx/79++PKaQul4tf//rXHD16lJSUFB4+fEh3dzc2m41IJIJWqyU5OZnr16/z3nvvMTs7\ni0ajiXvlWVhYSEtLC1NTU3FPocrJyeHtt9/mzJkzzMzMkKLRcO/TT6kTi9mdm0uC0cjMzAz9AwOI\ngkEKpFL+pKiI8P37nLl7d0OTpzwez5LV7ezsLFarFZVKFRXc8vJyUlNTSU5OXrEkH897KxaLKSgo\n4MK9exSEQqjkclRyOVqtFpvDQWtvL5abNwmEQuTm5Kwosht9wijw4iIIscC6Eu/qUKPRoNFocDid\njI2OMj42RlZWFllZWcsmKa21yk5JSWFiYoLunh5KS0qiK+zSkhI6OjoYGBhAplZvyFQemG9jqq+n\nd41EqFiEw2HO3b2LPS2NPzxxImZqVTgc5vz582zatInt27cv+/lC+bqjo4PExETGx8fp6OjA4XBE\ny9QajSZaItdoNMvaZcRiMbW1tbS2tnL48OG4j1+j0XD8+HF+8c//jPncOf7Ljh3oFrUk6XQ6tFot\nw8PDNDU1sWvXLgozM8n3+Wj81a/gGQ1KwWAQq9W6RHRnZmaIRCLodDpSU1PJyMiIDvB40p7yeN/b\ntLQ0HB4PRp8v+j0R4AyFqH/tNUISCX29vTx8+JDU1FSyMjOXBJkssJEnjAIvLoIQC6wrT7o6TJ4f\nquByuRgbH+f6zZtcS0jgzxaVSNdaZSckJFBXV0dvby+tbW1UVlaSIJcjFoupqKykrbWVWbudhFXm\n7T4rNfX1nLl5k3yPJ+5EKJ/fz+3WVm55PPzJf/2vK0ZHLgxGWMkFrVAoyMjI4MGDB7z55pvRMnE4\nHMbhcGC1WrHZbExPT9Pf34/NZiMYDEbFeeFap9PR0tLyaHTiGnN/F2Oz2VCaTLyVl8dAdzeKqqol\nQi+RSFAqlVRVVeFyu7l37x7FxcVPbFByOBzL9nEdDgcajYbU1NToxCOdThdNGFsP4nlvRSIR+rQ0\nXB0dhDMzEYtEeAIBRsNhMpOS8Hq9RCIRNm/ahMPhYHBwkEgkQlZWFgaDIXqCsFFjHAVebIQ+YoF1\nRSaTMet24+3tJT1GWMNKyOVy0tLSsASDmHNyGB4fj+7duX0+ZtrbKVjFgCQWi9Hr9fj9fvr7+9Fo\nNFExTtXpONfejry6mrJVRiU+CyqVCll6OteamshTKNY8CbHb7TTfucNd4J3//t8pWmFft729nbGx\nMV5//fVVy8x+v5/r16/zyiuvRD/URSIRCoUCrVYbDbMoKyujrq6OyspK0tPTkcvleL1eJicn6evr\no7u7m6amJjweD2azGbvdjt/vRyQSIZfLY5Zwmy9domhiglqjEalUSnd3d9QNDo8Mej09PZSUlJCf\nl4dUJqO/r4+gz4dWLGZMKqWwpGTJc7FYLI96rnt6uHfvHjdu3KC/vx+n04lCoSAzM5Oqqip27txJ\nVVUVhYWFZGRkoNFo1n2WdLzvrdnpJDQ+jlYiweHx0DQ+jlerJTExkVSdjpqaGpRKJcnJyWRlZZGo\nUj3q+R4cxOfzoVAomPV48BUVkf+UiWUC302EFbHAuvM0q0N41E/ZI5fzwR/+IUqlkra2Nj777DNy\ncnLoD4XiWmXn5+WRqFTyoL2d4uLiRystkQhxWRkWi4WxsTFyc3Of9SnGpKKqCj76iFNr5GsPjY5y\n7cEDbPn5vP6f//OKpdmxsTFaW1s5fvz4muIyPDxMZmZm3CafhIQEDAbDMhPSm2++yS9+8QtKS0vx\n+XxYrVaGh4ex2Wz4fD7UavWSVbRcLmeoqYnd8z3U6enpKJVKurq6cLvd5OXlMTs7i1Qqja6yDXo9\nqampjAwPMz04yOWREaTJybhcrpjmqaKioqh56ttirffW7/cT8PmY8HrxPHhAyGDAuHMn5RUVK5bD\ntRoNWo0m6q5ua2vjgctFdn09kUgk7qhUge8+QqCHwIawXnnBnvkJNyc//pgdc3O8tnkziXHcn8Pp\npLOzk4yMDOwSCdMNDVRu3cqZM2d44403NtSxa7FYeHDr1rKsbG8gwL3BQR74fOz90Y9o2LdvxeOw\nWq2cOnUqZh9xLBobGykrK3ui/tyVuHbtGgkJCcv2owOBADabLVrqtlqttN6/j+TCBRrmBXhhJSyV\nShkeHkatVuPz+0k3GFAqldFJSS6XC4/HQzgS4fLwMLPbtvHhhx9SWlq6qnnq22bxe5vt8SB1OnHY\nbDhcLlwJCdwZGuItg4Hi0tInnvjl8fn4+95ecl55hWAwSGVlJeXl5YKD+iVAKE0LbAjrlRcsk8nI\nzs6mrLqai1euEBwZwefxkJiYGHNQwQIJcjl6vZ7O/n5+b7Fw5D/+x2jp8uLFixQUFGzYCkulUlFY\nUrIkK9ukUnHFbEZRW8uf//VfU71p04r5wl6vl6+++ort27fH1U7k8XhoaWlh7969cUVMroVWq+Xa\ntWtUVlYuKYdLJJJHZdbUVLKysjAajQScTmrCYSqNxmgpenZuDpPJxMzMDPfu3aP9wQNmZmbwzpdf\n1RoNGenpGI1GCgoK0Ol0SMrLMc/M4Pf7ycjI2LBBHc9KKBTCFwphF4tpczqxGwzIKirIOniQkjfe\nIKe6mrRAAPf0NBmLOgHioXtqCs3+/Rw7fpyMjAzGxsa4du0aVquVpKSkdd33FnixEFbEAhvKSqvD\nhUlKQ1Ip+Q0NVG/fvuYqtaujg7v/8i9sBuzT0ySr1eTl5sZMcIJHq+yvJibwlZaiSUnhyJEjqFQq\nOjs7aWtr4/jx489ltTE+Ps7FixfZtGkTNWv0k4bDYRobG9Hr9XFlRQN0dHRgNpuXTf55Fs6dO0dG\nRgbVMeY8w6N9X7vdzulPPyX77l3SEhJwu1z4fD4SExNJVKlQJSZiMpkACASDTJhMRCIRMjIzycvL\nQ6/Xk6RS0W82M7ZpE7sPH+bWrVsMDQ3R0NAQVwSmx+Ohr7d3Qycbzc3NMTQ0xNDQEG63m4KCAgoL\nC8nKylp24rMQxVpls6FRqTAWFsb1GCtFsXq9Xrq7u+ns7CQxMZHq6mqMRuO6nHAJvDgIQizwXFiv\nvOCFGcfVgDocxjI1RaJSSW5eHtr5PciFecVtkQhbf/QjKqqquH//Ph0dHRw6dAiDwcCtW7cwmUwc\nO3Zsw1ZfkUgk+riLE6hW49q1azidTo4cORJ3efbkyZNs3bp1Xfe+zWYz586d4/3338fn8y1zK1ut\nVpRKJRNDQ9QOD1OXn48qMXFJ8pTH4+H+/ftsr69HKpEQDoexWCwMDw8/SpyCR8MVlEqcr77KOz/8\nISqVCovFwrVr15BIJOzZsyemm9xisdDe0sJoS0v0BE8uleIPBqMneHn19dTU1z/VNsT09HRUfIPB\nIAUFBdFM9LXel66ODm79/OdkTk6yd8eONSsv8WRNRyIRRkZG6OjoYHZ2loqKCioqKoSpTd8TBCEW\n+M6xeJWdHwggttuZNpsRSSTI9HpmUlJirrKHh4e5cuUKu3btori4mEuXLuH1ejl8+PC6rzD8fj+X\nLl3C7XZz6NChuD4wOzs76ejo4J133lm17L4Yu93OyZMn+eijj575OQSDwSUBGF9//XV09OFi89TC\n7F65XB5NntoXo4Te19+PVCKhMMaqMBgMMjMzg8lk4uueHmY2byY3L4+MjAzy8vLIns/obm1tpbS0\nlK1bt0YNawsnY6sZ4nyBAL1mM63hcFzBIZFIBLPZHBVfkUhEYWEhhYWFq6ZqrURXRwen/s//oTIc\n5vD27Sse4+MnjPGw0DPe399PdnY2VVVVcZ3kCby4CEIs8J1l8Srb53YzPTfHuNlMbl4eDQ0N5Ofn\nL1u9zM7OcubMGYqLi9myZQtnzpwhKSmJvXv3rttxzc3NcfbsWbKzs9m5c2dc+4Qmk4kLFy7wzjvv\nxJzRuxL37t3D5XKxZ8+euH8nEoksiXpcuLjd7mhPbmpqKh6Ph4GBAX784x+veF8rTdsKBALcunWL\nrdu2kbDKSYUvEOD/mUxsPnGC0dFRHj58GDV7BQKB6FjJYDDI4cOH8Xu9tP7ylxzNzHwmEyA82gZ4\n+PBhVHwTEhIoLCzEaDSu2NP9JIyPj/P3f/u35EqlVEilz7QtEwu/309fXx8dHR2IxWKqqqoomR8f\nKvDdQhBige8VkUiE4eFh7t27RzgcZtOmTRQVFS0RZK/Xy9mzZ1EoFOzZs4evv/6agoICtmzZ8syP\nPzg4yLVr19ixY0fcY/5sNhunTp3i4MGDZC0apRgPn376KXv37iXjsTnGC7jd7mWCu1BWXrzC1el0\n0cESC0QiEX7729+yc+dOcnJyVjyGC6dPo38seWp4eBi/37/ma9BuMjHd0BAddGCz2ejv76evr49w\nOIxGo0EulzM8PExzczOS/n7+bMsWSgsK4t7SWLz/qtPpMJlMDA0NMTw8TFJSUtQ09iSDMuLl/v37\nmEwmcnNyNnSMo8lk4sGDB0xNTVFaWkplZeUTndAJfLsIQizwvWVsbIx79+7h8XjYtGkTJYviL0Oh\nENeuXWN6epq9e/dy7tw5Nm/evKTl5EmMQOFwmJaWFgYHBzl8+DBpaWlxHaPf7+fkyZPU1tY+cbvL\nzMwMZ8+e5YMPPlhWVl64RCKRqNAuLivHG3rR29tLX18fb7755oq3eXxWdCgUoqWlhbq6ulWdvmvN\nijabzfT39zMwMEBSUhKTg4Pobt5E5nAgk8kwpKejm38+Go1mxZVgKBTienc3dzMySMnKQqvVRsvO\nKxn91otgMMgnn3wS9SZsNAuDQnp6ejAYDFRVVZGTk/NM7WDPwxD3siMIscD3nsnJSe7evYvNZqOu\nro6ysrLoh3Z7ezutra00NDRw8+ZN9u3bh1KpfCIjkNfr5dy5c4hEIg4ePBj3h1M4HObrr79Gq9Wy\na9euuH/HbrczOzvLlStXsNvtGAwG3G43Wq122V7us7a8hMNhPv74Y44cObLqycXivnHH7CxWm42q\nysoVbx+PQWnxMQwMDPCvP/sZ+8Nh1CoVXq8Xv99PWloa4UgEh91OUlIS2pQUUrRalEolc1YrM9PT\nzM3NIVcquSAS8cc/+9m6lJ2fhO7u7ieeEf2sBINBBgYG6OjowO/3U1VVRVlZWdzeA9h4Q5zAvyMI\nscBLg9ls5t69e1gsFmpra6moqEAmkzE2NsbFixcpKSnh8sWLpExPsys5OS4jUOHhw4yMjVFcXMz2\n7dufaOXR1NSE1Wrl9ddfj2m0WqmsnJiYSEpKCrdu3eLo0aMYjcZlZeX1pK2tjenpaV599dVVb9fV\n0cGtjz9G0tnJ4fp69DEE72kNSgumsD05OczOzmI2m5mcnMTpdJKenk5NTQ1uj4fRkRHGx8ex2+2k\npaWRk5tLQX4+arWayyMjpPzwh899slE4HOazzz5j9+7dq5b4N4qpqSk6OjoYHR2lqKiIqqqqNU9G\nNsIQJ7AyghALvHQsBE1MTExQXV1NdXU1LpeLf/6nf8J14wa7ExPZtX37kjm/segdHuZf2tvZ/+d/\nzqEjR57oGLq7u6PxlWKxmLm5uWWiC8R0K8tkMiYnJ7l+/To/+MEPnvp1iBe/38/HH3/MiRMn1izl\nNjc3c+H0aTJFomfuG1/MlbNnSWtqonLRHnogEMBsNtPV1YXZbCY/Px9tSgr6tDSSkpJwOBzMWa1Y\n5+aQSCRMh0LRNqknWRmuB4ODg9y/f5933333W0sNc7vd0Z5kjUZDVVUVBQUFy07gujo61s0QJxAf\nghALvLRYrVbu37/P6Ogo6enpjJ47R5XNRtDtRi6Xs2XLlpgf2OFwmP7+fux2OzlGI+fc7hX3OR//\nPbvdTnd3N2fOnKG2thafz/dUZeWrV6+SnJzMpk2bnvl1iIfm5mZCodCaJfTPP/+c7du3YzAY1qVv\nfIELp06R19ZG8Qr7rIFAALFYvKJD3eVycbe/nxtpaegLCkhNTSUnJ4fs7GwMBsNzCcj43e9+R21t\n7brEkD4L4XCY4eFhHjx4gMPhiPYkK5XKZfv98bLWfr/A6gg+d4GXFq1Wy/79+3E4HPzi7/8ebV8f\nhtJS/ImJjIyOcu/ePbZu27YkmtPr9dLV1UVCQgKbNm9GKpFQ5/Hw4NatqPMXVi4ri0Qiurq62Ldv\nHxUVFaSmpj5xWTkcDjM0NMS77767rq/HatTU1PDZZ5+xZcuWFYXUZDIRDofJzc1FJBKtawl4rVGY\na5nPVCoVOr2enXv2sOvAAR4+fMj4+DjXr1/H4XCQlZUVFeYnGQH5JDQ0NHDlyhUKCwvx+XzfmgFK\nLBZjNBoxGo3MzMzQ0dHBJ598Ql5eHtbJSerE4icSYQC1UkmdSLTs/4FAfAhCLPDSI5VKSXa5eGff\nPqanprDabGg1GkbHxgDYvn07YrEYq9VKd3c32dnZ0RSrYChEhlLJmdOnYX6oweNl5YXB9CqVisbG\nRn7yk59Q9QwlvPHxcbRa7YY7fheTmJhIQUEBnZ2dVFRUxBSRwaEh6urqNqT0qk1PxxIIPNN9WAIB\nUvR6JBIJ2dnZZGdn09DQgMfjwWQyMT4+zt27d5FIJFFRzs7OXrdM8qysLCKRCP/yD/+AaGoqpgHq\nN8/ZAKXT6di7dy8NDQ20trZy+vPPyU5LY0oqRa/XP9EJYqnBwJ3mZryvviq4qZ8QQYgFXnr6ensp\nDAZRq1SojUZyc3MxmUw4nU5aW1vxer0YjUYGBwfJyckhFArR0dGBy+UiEAigVCoxOJ3MTE+zY+fO\nmGXlSCTCmTNnyMjIeCIRjtU60jMywrZt29b7ZViTrKws/uUf/oFCpZLiSGSJiIzYbFwZGSHpj/6I\nlJSUdReRktJSPpFK4xqFGQvf/P50Q4x51EqlkuLiYornZ0LPzc0xPj5OT08Ply9fJiUlJSrM6enp\nT13G7urowH77NqrBQU4cOEBiDLHaEQjQ29LCmZs3n6sBKiEhAUVCAm+Vl1OsVjM5McHg4CAZGRlx\nj9dMkMkoDAbp7el57oa47zqCEAu89FinptAv+nCXyWQUFBSQk5NDTk4On3/+OU03blBRXo5MJiMt\nLQ2DwYBKpUKpVCISiVBMTDAz/4Edi5aWFoLBILt3747rmFZqHXH7/Xju3eP28DBzExPPbeW04KLd\n8vAhW4xGCvLylvxcbLfzZ+XluG/d4kxz87qLiFKpJK++nt7HgkPipddsJr+hIS5BSUlJISUlhZqa\nGkKhEFNTU4yPj3Pjxg3sdjsZGRnRv414Q0AWDFAf5OVhCoeZNpvJe+w1hEdiVpOdTb7HQ+OvfgXP\n0QBlnZrCIJejS01Fl5qK2+NhcmKCu/fukaRSkZWVtWZ/vF4mY8ZieS7H+31CEGKBl56g14s8RhjE\nwsonNzcXY1ERBfn52B2O6J5vcnJy9CICAh5PzPvv7e1laGgo6pBei8WtI7sfax0xm828WlhISVbW\nc1s5LYjI25mZhNVq+np7yV8UEuH1epmdm6N++3akUumGiUhNfT1nbt4k3+N5YiNRayTCkcfmK8eD\nRCIhKyuLrKws6uvr8Xq90TJ2W1sbwJIydiyht1gs3PnNb3h73oUsLSig9f59MjMzV9zbViuVHM3I\n4NQnn5C2wQYov9+P0+lkcnwc6ewsw34/Pp8Pn9+P3+cjFAwyPj5OMBhcU4hlEsmK/w8EVkYQYoGX\nnlhGoHA4THd3Nz6fj8zMTDQazZLpRl6vF4fDgcPhYHR0lPbxcYZCISRqNQaDAYPBQEpKChaLhZs3\nb/LWW2/FtRpbLHqxxMZsNmOYF+fnsXJ6XERQKpHKZMzMzEQ/lE0mE5mLZghvlIjo9Xq2vv8+jfPB\nIU/SWrP1o4/W5TgUCgVFRUVR57PVamV8fJy+vj6uXr2KWq2OrpbT09ORSCS0t7QsMUAlKpWk6fWM\njY1hNBpXfKz1MED5/X5cLhdOp3PJ9eKvAZKSkhg1mUh2OMhOTkat0aBISCAhIQF5QkLMWeKxCIRC\nyJ7Q6CUgCLGAwDIjUDgcpqurC+BRhrNIhM/rXfI7CoUChUIR/XCf1WjIPXgQvV7P1NQU7e3tzMzM\n0NfXx759+7Barcjl8lWnMC0TvccIBALY7XbKKyqi39voldPjIgKQm5PD2Pg4aWlpBAIBpsxmtm7d\nuuT3NspFW1FVBR99xKk4wiaiwSEbWN7VarVotVqqq6sJh8NMTU1hMploaWlhbm6OlJQUer7+mj95\nrGUpLy+PO3fukJWVteoJ2moGqEAgEBXUWALrdDqJRCIkJSWhUqmi1+np6Uv+vdCitxCakh9jkla8\nLBjiBJ4MQYgFXnoWG4FkEgmdnZ2IxWLKy8vp6ekh3WBgcHCQcDgcs7TsCwQYkcl4f8cOFAoFlZWV\nBAIBPv/8c9544w10Oh09PT1cvXoViUQSXTEbDAb0ev2/x23GEL3FWCwWUlJSlq1ONkr0PB4Poy0t\n7H6sd1en0zE0NITVZsNms5Gm08WcsLRRLtqKqirS/uIveHDrFneam1cNDjnylJONngaxWExmZiaZ\nmZls27YNn8/H+XPnyHQ66evpIRIOR/eftVotmRkZjI6OxhyMEQqFHpWHfT7UU1N8cfIkmVlZS8Q2\nHA6jUqmiopqUlIRer6egoCAqsk/i+N5IQ5zA6ghCLPDSs2AE6rp5E4nVilQqpaysDJFIhNVqxWg0\nMjY+jt/vjykojxuBIpEIly5dIjMzk3379i25rd1ux2w2YzabaW5uZnZ2FrVajVar5X5jI39UUEAk\nEonZAmSxWFY0g22E6C24yR//UBaJRGRnZzM6Oorb5aK2tjbm72+ki1av13Pg6FG8r75Kb08PM4uC\nQ1L0ehpegIEECQkJJMlkFBQXU5mVhdvjwTo3h2V6mv7+fmQyGRMTE8Cj13RBeH1+P+FQiISF0rDX\ny8z0NDW1tRQUFETFd72f3/M0xAksRRBiAQGgfPNm/uGXv+TttDSqysoQi8XY7XZkcjkJCQkoFQo8\nHs+yD5lYRqA7d+7g8XhiZjOr1WrUanW0VSYUCjEzM8PVq1fRW60M9PYSCARISkoiOTkZtVpNcnIy\n4XAYt9tNSkpKzOPfCNF73E2+mPT0dNra2khPT181AWyjXbQKheKFbpVZbARMVCpJVCrJysoiHA7j\ncDhITU1FLBaTkJBAamoq8vk2osUmLuXUFIn5+VSuMkRjvfg2DHECghALCOD3+7l9+zbFr79OX3c3\npT4f6vnpPanzwqeYF+LFQhjLCDQwMEBfXx/Hjx9fMW5xMQulan1yMhUlJVRmZT3aC3ZDxVc0AAAN\nsklEQVQ4cNjtTExM4HA48Pl85Ofnr+q6Xm/RW8lNvnDc+/fvX9MF/rK7aFdKBBOLxWg0mrhSvJ6n\nAepFMMS9jAhCLPBS4/f7aWxsRKfT8dZbb9Hd2Rk1AnksFkrmXa1KpRLvvGFrJSOQxWLh+vXrHDt2\nbM2BEY+zWPRkMlm0lxMelbp9Pt+aJb/1Fr21YiXjKUG+7C7a9UwEe168aIa4lwFBiAVeWnw+H42N\njaSnp0eHGSwYge42NdH4z//McZ0Ojd1O58gIpokJFAMDmBMSKNyxgyPvvBNtaXK5XJw9e5a9e/c+\n1bzb1URPJBJ9K6L3XRSRF43vqgHqRTXEfV8RhFjgpcTr9XL69Gmys7PZsWPHkp/p9XpKamrY+t57\nDNpsjLe0kOlwkBwMUmMwoE5JwTo5yfl/+ify6uup2LKFmzdvRsfKPQ0vouh9V0XkReK7bID6Lhji\nvi8IQizw0uHxeDh9+jR5eXnU19fHvM21q1eZbmriUEYGH+3YgUQspvnmTXbV1kYdzQu5wP/48cfk\nHjjApmeYhvQiit53WUReJL7rBqgX3RD3fWDjh3AKCLxAuN1uvvzySwoKClYU4a6ODnp/+1s+LCyk\nJjubBJkMqUSCRCLB7/dHb5cgk6EOhTigUJDQ20tXR8dTH1dU9Mzmp/r9jRK9mvp6WsNh7E+497wg\nItWCi/bfDVAPH8b9OkYNUD/6kVD2fQkQhFjgpcHlcvHll19SXFy84vQii8XCtV/8gldTUsh4bK9X\nqVTiWfRBOj09zcOHD6nftIljWVnc+eQTLM/gWn4RRU8QkfWhoqqKuo8+4tT0NO0mE74VtiF8gQBt\nJhOnZmaoEwxQLw2Sn/70pz/9tg9CQGCjcTqdfPXVV1RUVLB58+YVb9d86RKa9nbyU1PR6XRLfmaz\n2ZBIpSQnJeF0Ounq6qKquppEpZIEmQyRw8GwSERhSclTHaNKpUKWns61pibyFIq4StQLorf5ww/J\nf8r96bXQGwxIMjO51NKCyOlEq1TGzB72BQJ0PnzIFbebzR9+KIjIY+gNBjJrahgWibjW24ttbg63\n243V7WbKbqdzdparHg/yhgZ2vfvuhr2fAi8eokgkEvm2D0JAYCNxOBx89dVXVFdXU1NTs+LtPB4P\nn/zN31BjsZCfk7Ns0szI6CjhUIj/v737+2n63uM4/gILUqf4iwKiSNDZofJjEyyeOA2yH04vPDlZ\nIibz8ux2N7vav7Gcm2W725Jtt0vUnS3b8cQsRnA5tsoQ0GkpldIvPwva0m8L52JCAKGlFPlofT4u\nzdcvbWJ85sv38/58Knbv1q1bt7SvunrBE9+UbevbcFgXPvssq18Rzz99aUWjI21t6xI9y7J0p6ND\n/jSraGtZRZtWLBZTT3e3xuctgNrqcsnNAqhXEiFGThsfH9elS5f05ptvpt2ZyOf1aujbb7VxYEDN\nzc1ze0DPCluWrHBYcdvWju3bl9wc/79+v7afP5/14pYXOXpEBFhbrJpGzhobG9OlS5fU2Niompqa\n9NcPDsoZj2vT5s3PRFiSijZu1L379+U+cGDJQ92ltdvd6kUeHWEVLbC2CDFy0sjIiC5fviyPx7Pk\n6TZLScRisicnVbHotKFEIqFQKKSuri4VOBxyu91LHsogrf3uVkQPyH2EGDlneHhYV65c0bFjx+YO\nV1gJR1GRQqOj8jydxY3FYnr06JFCg4Pavm2bioqK1NTUlHIP6Vd9S0cAmSPEyClDQ0O6cuWKjh8/\nrn1P94leqcItWzQYi0l5ebrb3a2RkRGVlZbqyFtvaWh4WMlkctnTj2a96ls6AsgcIUbOCIfD+vHH\nH3Xy5MlVbTU5Hono1uPH+p/Xq+q9e/X6/v1yOByybVuBvr5lz92dxZaOAFaDECMnhEIh/fTTT2pp\naVl2IdVSpqende/ePfl8Pnm9XtW0tGhrIqHKPXvmrunr61OJy6XXXnst5b3Y0hHAahBivPQGBgb0\n888/q7W1VXvmBTSVqakpdXV16c6dO9qxY4c8Ho8mJyd16tQpXfvqK1U/3Rf4yZMnCofDy+7ENetF\n2RcYwMuHEOOlFgwG9csvv+jdd99VRUVF2usnJiZ0+/Zt9fb2au/evTpz5ox27typUCikLVu2qKqq\nSk/mHYweePBAe/bsUUGKXa44GB1ANtjQAy+t/v5+/frrr3rvvfe0a9eulNdaliWfz6f+/n7V1NSo\ntrZ2wa+ab968qWQyqebmZkl/7W519csvtTUQ0D9aWuTcuPGZe5rY3QpA7uGJGC+lvr4+Xb16VadP\nn1ZZWdmS18zMzCgQCMjr9WpiYkK1tbU6ceKECgsLn7k2EAjMRViSag4d0vX6eqm+Xt/7/RyMDuC5\nIcR4YUSjUfX29GhscFCJWEyOoiJtKyt7ZuvEhw8f6tq1a/rggw9UumjzDUlKJpPq7e2Vz+eTw+FQ\nfX299u3bp/z8pQ8bi8ViGhsbU3l5+dyf9fT0qKSkROfOnZvb0vFF2t0KQO4gxDDOsizdbm9XX3v7\n3JNnocOheCIhy7b1ncOhvR6P6jweTUxM6LffftOZM2eeOZQhFovpjz/+UGdnp0pKSvT222+v6L1x\nMBhURUXFXKht21ZHR4fef/99SexuBeD54h0xjFrpSUM94bD+MzSkaGWl/vnxxwuOKIxEInMLsKqr\nq1VXV6cdi84STuXq1atyuVw6/PQd782bNxWJRNTa2pr9FwSANHgihjFdnZ3yfv21zu3apeIU20Ju\nLChQqcOhw+Pj6issVDgU0s6dOxUOh+X1ejUwMKCamhqdP39emzZtyvhz9Pf368iRI5L+Ore4s7NT\nH3744aq/FwBkghDDCMuy9Pt336WNsCQNhELq8/v1t6YmNUn6+osvdPPoUTkcDtXV1amlpSXleFEq\nIyMjcjgcKi4uliR1dHTo0KFD2rx586ruBwCZIsQw4nZ7uxry89NG+NGjRwr096u2tlZjY2MKBoMq\njUSUsG21ffTRsguwVioQCMxtAmJZloLBoNra2rK6JwBkIrv/xYBViEaj6mtvl3uJFc/z9QeDeuj3\na/u2bfL5fBodHZXb7dbfT55U3O9XPB7P+rMEAgFVVlZKkq5fv66mpqZVP10DwGrwRIx119vTo+pE\nYsmFWXPX9Pbq7t27Ki4uVl5enhoaGha8/61OJNTT3Z3VambbtmVZlioqKvTgwQPF43G9wYENANYZ\nIca6GxsclCtFhKenp9Xb26uamhpVVVUtuQGHq6BAw5aV0c9dPKc8EolocmJC8XhcN27c0IkTJ5SX\nl5fx9wGAbBBirLtELKZCx/L/9PLz83X27NmU9yjYsEF2NLqin7fcnPLUn3+qND9f//r0U+VVVKjw\nnXcy+h4AsBYIMdado6hI8UQiq3vYyaQK0iz0khbOKR9fNKc86vfr2Ouvy9fZKefjx/r355+r8cIF\n9owGsK5YrIV1t62sTJZtZ3UPy7a1Nc3+znNzyiUlqtu9e0GEo9GoksmkhoaHtbu8XJ79+3WupETe\nb75RV2dnVp8NADJBiLHuDrjdeuBwaGqVMZ56euCCO8XCqtk55bPLzCmPjo7K6XRqyLJUVVUlSSp2\nOnW2vFy/f/+9rAzfPwPAahFirDun06m9Ho96wuFV/f2ecFhVzc0pD1xIN6c8OjqqyclJVVZWLhhX\nKnY61ZCXpzsdHav6bACQKUIMI+o8HnmnpxVZ4YKrWZFoVN6ZGdUePbrsNenmlKenpzUwMKD8/Pwl\nD4Vwl5bKf+OGYrFYRp8NAFaDEMMIl8ulxgsXdDkUWnGMI9GoLodCamxrS3n+b7o55UgkorGxMR04\ncGDJnbk2FhTMzSkDwPNGiGHMwcOH1XDxon4YGtLtYHDZd8ZTti1fMKgfhofVcPFi2lXN6eaU792/\nr+KtW585RnE+V0GBxnlPDGAdML4Eow4ePqySTz7RnY4O/X7jxtycb8GGDbKTSVlPF2ZVNTfr9NGj\nKZ+EZ6WbUz508KASacanMplTBoBsEGIY53K5dOrsWcVaW9XT3a1hy5IdjarA6dR2l0vNb7yRcmHW\nYunmlFdyVOJK55QBIFuEGC+MoqKirPaOnrVWc8rbV/D0DQDZ4h0xcs56zCkDwFohxMg56zGnDABr\nhRAjJz3POWUAWEuEGDnpec4pA8BaypuZmZkx/SGA52X+6UvuRacvzZqybXWHw/LNzKixrY3TlwCs\nK0KMnGdZlu50dMifZk65doVzygCwlggxXhmxWEw93d0anzenvNXlkjvDOWUAWEuEGAAAg1isBQCA\nQYQYAACDCDEAAAYRYgAADCLEAAAYRIgBADCIEAMAYBAhBgDAIEIMAIBBhBgAAIMIMQAABhFiAAAM\nIsQAABhEiAEAMIgQAwBgECEGAMAgQgwAgEGEGAAAgwgxAAAGEWIAAAwixAAAGESIAQAwiBADAGAQ\nIQYAwCBCDACAQYQYAACDCDEAAAYRYgAADCLEAAAYRIgBADCIEAMAYBAhBgDAIEIMAIBBhBgAAIMI\nMQAABhFiAAAMIsQAABhEiAEAMIgQAwBgECEGAMAgQgwAgEGEGAAAgwgxAAAGEWIAAAwixAAAGESI\nAQAwiBADAGAQIQYAwCBCDACAQYQYAACDCDEAAAYRYgAADCLEAAAYRIgBADCIEAMAYBAhBgDAIEIM\nAIBBhBgAAIMIMQAABhFiAAAMIsQAABhEiAEAMOj/6Ddl0AVcIxMAAAAASUVORK5CYII=\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "#alpha: 透明度 (默认是1.0,不透明) \n", "nx.draw(G, alpha = 0.4)" ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAeIAAAFBCAYAAACrYazjAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nYII=\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "#edge_color: 边的颜色(默认为黑色)\n", "nx.draw(G, edge_color ='r')" ] }, { "cell_type": "code", "execution_count": 14, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAeIAAAFBCAYAAACrYazjAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\nAAALEgAACxIB0t1+/AAAIABJREFUeJzs3Xlczdn/B/DX1aKbkkpZQgyKIoaKMYwwNChkJ0vGOuZr\nMLIztqGJGMuQMCbGMot1kF2FsZU1w5B9CZWo1G279/37o+n+5N643fu5S/V+Ph49HjP3nnvu+3Pr\nen8+53PO+4iIiMAYY4wxvSin7wAYY4yxsowTMWOMMaZHnIgZY4wxPeJEzBhjjOkRJ2LGGGNMjzgR\nM8YYY3rEiZgxxhjTI07EjDHGmB5xImaMMcb0iBMxY4wxpkeciBljjDE94kTMGGOM6REnYsYYY0yP\nOBEzxhhjesSJmDHGGNMjTsSMMcaYHnEiZowxxvSIEzFjjDGmR5yIGWOMMT3iRMwYY4zpESdixhhj\nTI84ETPGGGN6xImYMcYY0yNOxIwxxpgecSJmjDHG9IgTMWOMMaZHnIgZY4wxPeJEzBhjjOkRJ2LG\nGGNMjzgRM8YYY3rEiZgxxhjTI07EjDHGmB5xImaMMcb0iBMxY4wxpkeciBljjDE94kTMGGOM6REn\nYsYYY0yPOBEzxhhjesSJmDHGGNMjTsSMMcaYHnEiZowxxvSIEzFjjDGmR5yIGWOMMT3iRMwYY4zp\nESdixhhjTI84ETPGGGN6xImYMcYY0yNOxIwxxpgecSJmjDHG9IgTMWOMMaZHxvoOgDHGSrPExERs\nDg/H7WvX8CY1FRZWVnByc8PQYcNgZ2en7/CYARAREek7CMYYK21iYmKwIigIBw4eRE8AHllZsASQ\nDuCCWIzdROjauTPGT58ODw8PPUfL9IkTMWOMCWxdaCjmBAZiqkSCoUSwVtLmFYBwkQiLxWLMCwnB\nqK++0nWYzEBwImaMMQGtCw1FcGAgDmdmop4K7e8A8DY3x1ROxmUWJ2LGGBNITEwMunl54ZSKSbjA\nHQBtzM2xLzoa7u7u2gqPGSieNc0YYwJZERSEqRJJsZIwANQDMEUiwYqgIG2ExQwcXxEzxpgAEhMT\n4ezoiHtZWUrvCX9ICoC6Zma4/egRz6YuY/iKmDHGBLA5PBx+gFpJGABsAPiJRNgcHi5cUKxE4ETM\nGGMCuH3tGjyzsjTqw0Miwe24OIEiYiUFJ2LGGBPAm9RUWGrYhyWA9FevhAiHlSCciBljTAAWVlZI\n17CPdACW1uoObrOSihMxY4wJwMnNDRfMzDTqI0YshlPjxgJFxEoKnjXNGGMC4FnTTF18RcwYYwKw\nt7dH1y++QLhIpNbrN4lE8OnShZNwGcS7LzHGDEJJ36UoIyMDSZmZmA/AFyh2Za3FYjH2TZ+uneCY\nQeOhacaYXpWGXYpu3bqFXr16wdPTE82aNsWP06dzrWmmOmKMMT0JW7OGqpqb048iEaUAREp+UgBa\nJhJRVXNzCluzRt8hK8jNzSVXV1dav369/LGC41r2nuN6CdBSAz4upjt8RcwY04vStEtRVlYWzN6Z\nMR0bG4sVQUHYHxEBP5EIHhKJ/Eo/5r8rfZ8uXTB++nTe6KGM40TMGNO5srRLUVJSUv6977g4xJ47\nB1OxGL0HDcKQgIASce+baR8nYsaYzg3q2RPue/Zgghr//PwoEuGSnx9+3blTC5FpV0hICJ4/f46Q\nkBB9h8IMCC9fYozpVGJiIg4cPIihal4DDCXC/ogIJCUlCRzZ+xERli1bplEStbS0RHq6pvW3WGnD\niZgxplMlcZeitLQ09OnTB9u3b0efPn3U7qdixYpIS0sTMDJWGnAiZozpVEnbpeiff/6Bp6cn7Ozs\ncPr0aTg6Oqrdl7OzMz755BMBo2OlARf0YIzpVEnapejo0aMYOHAgli5diiFDhmjcX7NmzdCsWTMB\nImOlCSdixpjOEBHuPnhQYnYpatSoEY4dO4YmTZpo/b1Y2cVD04wxrVC2IEMkEqFanTo4a2qqUd+6\n2qWoWrVqnISZ1vHyJcaYxqRSKf755x+cPn1a/rN582Z4eXkptOVdihgrjK+IGWMaWbhwISpXrow+\nffrg4sWL6NixI44fP462bdsqbW9vb4+unTtjkwHtUiSTybBt2zZIpVLB+mRMVXxFzBj7oOTkZGRk\nZCidMXz37l1YWlrC3t5e5f4MqbLW69evMXTo0Pz1zQcOwMbGRpB+ixIeHo5BgwbB2Jin6LB8fEXM\nGCuEiHD37l1s2rQJI0eORMOGDVG3bl388ccfStvXrVu3WEkYADw8PDAvJATe5ua4o+Jr7gD4TCRC\nO19fwZLw1atX4e7uDkdHR0RHR2s9CQPApEmTkJqaqvX3YSUHn5IxpkeGuAfvoUOHMHLkSLRu3Rqt\nW7fG119/jcaNG8PIyEjQ9ynYuKFNYCCmSCQIIFJ6zzgFQLhIhCViMcZNm4a169fjl19+wbBhwzR6\n/02bNiEwMBArV67EgAEDNOqrOCwtLZGWlgZbW1udvSczbDw0zZge6HMP3vT0dJw7dw7379/HqFGj\nFJ6XyWQQiUQQqXkPt7iKu0vR7du38fDhQ3Ts2FHt95TJZBg9ejQmTJgAV1dXwY5FFW5ubtiyZQvc\n3Nx0+r7McHEiZkzH1oWGYk5gIKZKJBhaxFXgK+RfBS4WizFPw23/8vLysHv3bvls5lu3buHjjz9G\n+/btMW/ePLX7FdrbuxSlv3oFS2trODVuXOp2Kfr0008RHByM1q1b6zsUZiB4aJoxHSrYg/dDk5Ss\nAUwkgm9mJrwDAwFA7WRsZGSE3bt3o2nTpli1ahWaN2+O8uXLq9WXNtnZ2WHS5Mn6DkPrKlasyBs/\nsEL4ipgxHdHGTOHs7GxcvHhRfrW7dOlS1K9fX9C4SzqZTIY3b96gYsWK+g4FALBmzRq0bNmSS12+\nxRDnSugSJ2LGdETIPXjXrVuHLVu24NKlS3B2dpZPrPL29jaYhKNL+/fvh62trcKGCi9fvsTgwYPh\n4uLCewAbIH3OlTAoxBjTuhcvXlAlMzNKAYjU+HkJUCUzM0pMTCQiosOHD9PRo0cpLS1Nz0dmGCIi\nIsje3p4uXrwofyw2NpZq165N3377LeXk5OgxOqZM2Jo1VNXcnH4UiYr8XqQAtEwkoqrm5hS2Zo2+\nQ9YaviJmTAdCFi/GjTlzsFGD7f++FIvhOm9embiP+jZVhy13796NsWPH4ujRozh79ixmzJiBNWvW\naLR/MNOOgrkSh1W8TXMHgLe5OaZqOHHRUPFkLcZ0QKg9eK/oaA9eQ/DeYctdu+A0Z06hYUs/Pz9I\nJBJ89tlnsLW1xalTp9CgQQM9H8X/K+v3QQvExMRgjgoTFt9WD8DhzEy0CQxEMw8PwQq6GAx9X5Iz\nVhYM8PGhLWoOSxf8/ApQLRsb6tevH02cOJGWLFlCZ86c0fehaYUmw5br1q0jJycnys3N1eMR/L8L\nFy6Qv58fVTIzoy/NzCgUoC0AhQI0TCymSmZm5O/nRxcuXNB3qDrh7+dHP4pEan0HlolENKhnT30f\nguB4aJoxHRg1aBCabd2KMRr0EQrgUMeO6BcQgISEBDx79gweHh7o37+/QtsdO3Zg9+7dqF69OqpX\nr45q1aqhevXqcHZ2RpUqVTSIQvuEGLZ8/vw5qlatqtU4VaHrNeOGjnfeUs5o7ty5c/UdBGOl3a07\nd3Dl9Gl0z8tTu49QsRgew4dj9JgxaNWqFby9vdGoUSOlbU1MTCAWiyGTyfDkyRPExMRg7969MDIy\nUjr79Pjx49i3bx8eP36MV69eIS8vD2ZmZjAxMVE7XnXExMRg9MCBOFGMYUsbAF1zczEkMhJe3t6o\nXr06LCwstBmmSgpOKE5kZqILAHER7cQAPgHQIzcXYyIjIbaxQfNSOkM4dPVqVI6KQn81vwdiALdN\nTPDM2hqtPv1U2OD0Sc9X5IyVKqmpqbRlyxbq3r07RUZGyh8Xeta00A4dOkTjxo2jXr160SeffEKO\njo5kampKK1euVNo+Li6O/v77b7p//z5lZWUJFkdpGba8cOECVTU3p/hiHkM8QFXNzSkmJkbfh6AV\nI/39KVTDWzRrABo1eLC+D0VQPFmLMQ2lp6dj//79+OOPP3D8+HF89tln6Nu3Lz7++GN5G/kevGqu\nI9bGHrxv8/b2hre3d6HHiAh5RVy5REZGYuvWrUhISMDz589RsWJFVKtWDUFBQfDx8VFon5qaCnNz\n8/deYScmJuLAwYNYpebdsqFEmB8RgaSkJKWfExHprH72iqAgTJVIilW4BciflDRFIsGKoCD5mnFD\nlJCQgKdPn+LNmzeFflq2bInGjRsrtF+xYgX+/PNPPIiLg/JdqlVnCSD91SsNezEsnIgZ09COHTvw\n559/om/fvti4cSOsrZXf/Ro/fTq6HT4MHzUqay0Wi7Fv+nRB4lWVSCQqMnGOGzcO48aNA5Bfuerl\ny5dISEgo8r7s5MmTER4eDmtra/n96urVq+N///sfmjZtCgDYHB4OP0Cte4dA/hC1n0iEzeHhCku8\nYmNjMWXKFOzbtw8VKlRQ8x1Uo+0TClVkZ2cjLS1NIVHWrVsXH330kUL77du3Y//+/Qrtp0yZgqFD\nhyq0/+WXX7B7925YWFgU+imqqpu3tzeaN2+O5UFBSI+IUOuYCqQDsCziO1ZScSJmTEVSqVTpVoDD\nhg1TaUs++R68akxEmhcSYrBLNsqVKwc7O7v3Jo1169YhNDQUycnJSEhIkP9YWlrK22hjideNGzfk\ndZ0rVKiA9u3b46effkLDhg2V3kd+/vw5cnJyUK5cOZQrVw5GRkYoV64crKysYGpqqtA+NzcXAOTt\nRf+dCAh9QnH06FFERkYqJMqAgAD07dtXoY958+Zh/fr1Coly7NixShNxnTp10KVLF1hYWKBChQry\n9g4ODkpjnDlzJmbOnKnyMRUsIzvXti0unDiBMRr8nmPEYrgqueouyXjWNGPvkZmZiYMHD+KPP/5A\nTEwM4uPjNd6Xt2Amrap78Jb2mbQFBvr6ouv+/fDXoI8tACJ8fLBt3z4AwNdff43Y2FjIZDJIpVLc\nv38fUqkUERERSnc/6t+/P86cOSNvL5PJIJPJsGvXLrRp00ahfadOnRAZGSlvJxKJICbCUkDjGfJX\nBg9G2ObNAIAjR44gNjZWIbG6uLigdu3aGryTbvGs6SLo8wY1Y4Zq79691K9fP7KysqKOHTvS+vXr\nKSkpSbD+Y2JiaFDPnlTJzIyGicW05r91wmveWls6qGfPUjtpRxldTOTJycmh7t27U+/evQVfZyyT\nyUgqlVL/rl0FWTM+wMdH0PgMRWmZkCckHppmTInz58+jffv2WLVqlVbOvN3d3fHrzp3yPXivvLUH\nr2vjxgguZXvwqsLJzQ0Xdu7U6rCliYkJfv/9dwwaNAi3b9+Gi4uL2u/1LpFIBJFIBMtKlaDpJoel\n8T5ogfHTp6NrRAR8srNLxFwJXeChaVZmZWVlITU11eALXBSXoZVSVDWe0jJsyXXF32/79u34atQo\nWOfl4WhWFteaBnhompUtWVlZtG/fPho8eDBVqlSJvv/+e73E8eLFC1oSHEwj/f1pgI8PjfT3pyXB\nwRqtEza0UorqxFMahi0Nfc24Pq1fv55q1KhBcXFx8jKmy95TxvQlQEvLwO5LnIiZXmkjISnz+PFj\nGjp0KFlbW1ObNm1o1apVlJCQIOh7qEJbydLQtpRTN57SUgijNJxQaMPVq1fpwYMH8v/nuRL5OBEz\nvdD11dvr169p+fLl9OTJE0H6U4e2kmXYmjX0UTGSVzxAH2kxGasTTx2xWB6Pvo7nxo0bQhw+EZWe\nEwpdSUxMpJDFi2nU4ME0wMeHRg0eTCGLF5fKUQFlOBEzndNWQsrJyaFDhw5RZmamlo+g+LSVXAzt\nH3yh4in4G1mqo2HL7OxscnZ2ph9//FGIj4GIDO8EiRkuTsRMp4T+xyk3N5eOHDlCI0aMIFtbW2rZ\nsiXduXNHx0f1ftpMloY2BCpkPBcuXCB7CwuqaGqqk2HLhw8fkqOjI61du1btPt68eVPo/8vyfdDs\n7Gx9h1BicCJmOiN0Qlq7di1VrlyZPD09KSQkpNC9J0OirWRpaJOChI7nyJEj5OrqSk2bNqWgRYt0\nMmx5584dcnBwoM2bNxf7tbt27aK6deuSRCIp9HhZvA/67Nkzatq0KZ08eVLfoZQInIiZzgidkG7c\nuEH379/Xz8GoSJvJcklwMA0zM1Or34KfYWIxhSxeLMixCh2Pr68vffvtt+Tp6SlIfKq6ceMGVa1a\nlXbs2KHya1avXk3VqlWj2NjYItuUlfugd+7coY8++ojmz59PMplM3+GUCFzQg+mENgrhN2zYUMgQ\ntUKIusPdibBg3jx09/ODo6Mj6tXLX3mpjdrMmhAynnv37uHs2bPyGsi61LBhQxw6dAg5OTkfbEtE\nmDlzJnbs2IHTp08rreNcwM7OrlSuC37b5cuX4ePjg9mzZ2PMGE2KfJYtnIiZTmhzZx0hvHr1Cikp\nKcjJyUFOTg6ys7ORk5ODWrVqoVatWgrtz549i5iYGHm7gtd4e3ujXbt28nZCJKcW2dkIXL0aoWFh\nGDhwIDZt2gQAeJOaCssPvPZDhNxSTsh4MjMzsXjxYixZskR+vLrUpEkTldqNGjUKcXFx+Pvvv8tc\nJbR3nTp1Cr169UJoaCh69eql73BKFE7ETCeEulpa9/PPiL97V574+vTpgx49eii0XbFiBdauXauQ\nKGfPno3AwECF9mFhYVi/fj1MTU0L/YwdOxb+/orbELx48QJ37tyRtytfvjysrKxgbm5eqJ1Qyan7\nWxsZFLCwshKklOKREyfQpUsXNG7cGI0aNULXrl1hY2NT7L6EisfS2hqNGjVChQoVMG3aNDRv3lzD\nXrVn4MCB8PT01PrWiiWBvb09fv/990Inokw1nIiZTgiVkMobG6NJkyYoX748TE1Ni9z/tF+/fujU\nqVOhRGlqaqqQKAtMmzYN06ZNUzmWHj16KD0BeJeQyeldQtRmviAWY9S4cWjZqhWuX7+OiIgItGjR\nQmkifvLkCapVq1bk7lNC14r++++/0blzZ5QrV07t/rSNk87/c3Z2hrOzs77DKJG41jTTiVGDBqHZ\n1q2Cbg1XEghdd5jyJ1iiXLlyOq/N3LJlS1y7dg0NGjRAo0aN5FfQHTp0gKmpqVbiyc3NhYmJiRq9\nCe/XX3+Fm5ubysPWjKnKcE81Wani5OaGC2ZmGvURIxbDqYRtCD4kIAC7Aah7FzYFwG4ifNGlC5Ys\nWQIXFxccOXIEQP5QYNfOnbFJJFKr700iEXy6dFH53ua5c+eQmJiItWvXwsvLC8+ePcPy5ctRcC6v\njXgMJQkX+OKLL3Dz5k19h6F3MpkMfA0nIP1N2GZliaGteRXa+2pma7Jsa6lIRPWqVycrKysKCAig\nU6dOFVoSUtoqaxnqutN9+/ZRrVq1KCwsjGrUqGFwRWN0KTs7mwYMGEBbtmzRdyilBidipjOGVgVK\nCKrUzP7Cy4vszczUSk5WAE2ePJlSU1OLjEGoamVSqZQuXbqk8Weibjzz586lGjVqUG5ursYxCGnd\nunVUtWpVOn/+PBHlF5KpXbs2PXz4UM+R6V56ejp16tSJunfvbpClZEsqTsRMZwzt6k1TxamZXcnE\nhGqZmhY7ObVq0YKaNWv2wc0qhCileO/ePapevTp9+eWXGo88FDeeqZMnk5GREdna2tKAAQNo4cKF\ntHfvXr0mO5lMRnPmzKG6devS7du3Cz23bNkyatGiRZkqWJGUlESenp705ZdfGtzJUknHiZjpVGkp\nhK/OcdibmFBlU9NiJUuZTEY//PADOTg4fPBERIhSiqmpqTRhwgSys7OjtWvXklQqVfszKk48GRkZ\nZGtrS3/99RetXLmShgwZQp07d6axY8cq7TsvL0/rSXDcuHHk7u5Oz58/V/p8UScrutraU5cePnxI\nDRo0oGnTppWpkw9d4UTMdK6kF8LX5Mretnx58m7ThiyNjWmASFQoOQ0yNiYLIyOlyXLXrl1UuXJl\n+vPPPz8YnxClFK9cuUKtWrUiT09PjfdtLojHHKB+XbsqjWfdunXk6+tLREQhISE0evTo9/YZFhZG\nlStXJi8vL/rf//5HYWFh9Pfff793CL+4Tp8+Tenp6Sq31/XWnrr04MEDCg0N1XcYpRYvX2J6ERsb\nixVBQdgfEQE/kQgeEkl+VSXkz47eTQSfLl0wfvp0uLu76zvcQgb17An3PXswQY2vzjKRCPOMjODV\npQuq2NsDEkn+GmtraySmpsLWzg4bNmxQ+trLly9j+/btWLx4saaHoBKZTIZdu3ahR48eMDbWrOSA\nTCaDkZERZDIZRO/MqiYiNGnSBEuXLkXHjh3RoUMHjB8/Ht26dSuyPyLC8+fPcf36dflPXFwcevXq\nhalTpypt/+77CmldaCjmBAZiqkSCoURKl2+9AhAuEmGxWIx5ISEY9dVXWouHlSyciJleJSUlYXN4\nOG7HxSH91StYWlvDqXFjDAkIMMiSgYKslS1fHrcfP1Y4vo0bN+LUqVP45ZdfBInVkGRnZ6NixYrI\nzs5WeO7NmzeYN28eFi9ejPT0dDg4OODZs2ewsLAQ7P3Hjx+Pw4cPy9c+F6yDrlu3bpEFSlS1LjQU\nwYGBOJyZiXoqtL8DwNvcHFPLYDJOTEzM/75fu4Y3qamwsLKCk5sbhg4bZpDfd53R38U4YyWPNnc8\nioiIoMDAQD0cVfG9u+/uh6SlpZGFhcUH2+3atYs6deqkblhFys7Opri4ONq2bRvNmDGDunXrRh99\n9JF8qP/169dq9VvaJiBqS2kethcCJ2KmV0Le09OFkf7+FKpBEqb/7gePGjxYsJh0PXlGKpWSi4sL\nBQYGqnwPVSaT0cuXLz/Ybvjw4bR8+XJNQyyWiIgIql69OqWkpMgf69atG3366ac0evRo+umnnygq\nKoqSk5MVXlsal+QtXbqUFgu0NSZR8VYXGOKcEF3gRMz05s2bN2Rubk45OTn6DkVlA3x8aIuGifhX\ngAb4+AgSj1QqJS8vL9q/f78g/anq+fPnNGTIEKpRowb98ccfKp0MqDKb+Oeff9bpHtMbN26kKlWq\n0JkzZwo9npSURJGRkbRq1SoaNWoUtWrViipWrEg3b96UtyltRWpkMhlNnTqVGjRoQI8ePRKkz9Ky\nSkLbOBEzvTlz5gw1b95c32EUiyFeEZ89e5aqVatGy5Yt0/nV8cmTJ6lRo0bUqVMnio+PV9rGEIcl\nZTIZLViwgGrXrk3//vuvyq95+/PV5m0KXcvNzaUvv/ySWrRoofTKXx08bK863n2J6c3ly5fx8ccf\n6zuMYhF6hyEhtGzZEmfPnoWvry9u3ryJ1atX66xGc5s2bXDp0iWsWrUKSUlJqFev8HSlt2cTryLF\n2cRjJBIsBRC+Zw+6HT4s6Gzi900MCg4OxokTJ3D27FlUrVpVpf7enXUt1NaeV+LiAOTPLP/tt99Q\noUIFWFhYoEKFCvL/rlOnjkbv8z4SiQT9+/dHdnY2jh8/LtiWjiuCgjBVIlFpAtvb6gGYIpFgRVAQ\nft25U5BYDB3PmmZ6M2LECDRv3hxflaCZo7re8ag40tPTMXDgQGRkZCAiIgJmGm6yoSl9zSaOiYnB\niqAgHDh4ED0BeGRlyZfGXfhvaVyrli0xec4ceHl5Ke3j0aNHSEhIwNOnT5GQkCD/759//ll+kjPQ\n1xdd9++H4m7VqtsCIOK/vaazs7MxbNgwZGRk4M2bN8jIyEBGRgakUilu3Lih8FqJRCLfC/ntxG1j\nY4PvvvtO4SSkXqNGqFGrFhwcHAol+czMTGzYsAELFy6EqampBkfz/wz5e2KI+IqY6c3ly5cxYsQI\nfYdRLPIdhtRcR/z2DkNEhde2ymQyxMXFqb3NnqWlJfbs2YO9e/eifPnyavUhlJiYGMwJDMQpFZMw\nkH8ldDgzE20CA9HMw0Ot9eOqXoH/Eh2NPt7emLNkCf73zTcK/fj6+sLMzAwODg6oXr06qlevjvbt\n20Mmk8nbCL3XdPny5bFt2zaVX2tqaoqtW7cWStrXrl3D0b174ezoqHASct7MDPNycmBrbQ3zypUB\n5C8dMzY2xoMHDxRjS09Hly5dFK7OK1eujHnz5im0z8vLw/nz52FhYYHtW7eiB6BWEgYAGwB+IhE2\nh4dj0uTJavZSguh5aJyVUVKplNzc3CgjI0PfoRSbUPe+fv75Z+rSpYv83mheXh6VK1dOo7KShkKX\ns4kLZmR/N2tWsScG1RGL1Z4YJPQ94n379tG3335LBw8eVOt7IfTs5JycHIqOjqYDBw7QH3/8QRs3\nbqRVq1bRypUrlbZ/9eoVtWzZkho3bkx2FSoY3FwKQ8aJmLEPUDbbt3ePHlRHLNZoNmhWVhb99NNP\n5ODgQD4+PhQbG0vm5ubFXqNraIScTVzU5LOJEyfSp59+SnXq1KHy5cuThYUFVRKJdDoxSOhZ0//+\n+y/Nnz+f2rRpQxYWFtSuXTtatGgR3bt374OxGNrsZENbXWDoOBEzVoQPzfatYGxMNkZGtFTDmtkS\niYRWrVpFDg4OZGpqSrdu3RL8WJ48eUJ5eXmC96uMEFeK/UUiMjM1pdOnTyt9j+PHj1N0dDTFx8fT\nmzdvdHYFnpWVVehESaj3TUhIoGHDhtH169eJKL8Ayr59++ibb76hqKio98ZkiLOTDXF1gSHjRMyY\nEqoO800EyLpcObI0NlZ7x6MCEomE7OzsFLbcE8KIESOoc+fOWi2g8uLFC4qNjaWu7doJ8o9wQL9+\nJJPJ6PTp0zR79mxauHAhLV26lFavXk0bN26Uf6a6WM+bl5dH4eHh5OjoSD///LP8caGS4Llz52jh\nwoVUpUoV8vHxoVOnTn1wKVpISAjt2rWL+nbtanBFRZYEB1NAKVnapQs8WYuxdxTM9v3QRCNrAMsA\njJXJ8Hn58kj/4gtcsbCQ18x2bdwYwcWomW1mZoZq1aohIyNDiMMoZM2aNRg/fjxatWqFffv2qbQc\n5tmzZ7h37x6SkpKQnJyMpKQkJCUloXv37mjbtq1C++XLl+PgwYNIffIEAzSM1xJAdkYGRCIRTExM\nYGxsjDc7UhpjAAAgAElEQVRv3iA5ORkSiQRZWVkwMTGBu7s7NoeHww+aTQzqkpMDr88+Q0NXV4jF\nYpiZmeGLL75Az549sXfvXsycORM2NjbYsmULrK2tsX37dpiZmcHMzAz+o0ah49q1OJqVVazZ4fNC\nQuDu7o6srCwEBATA1dUVZ86cwdGjRxEQEAB7e3usXLmyyElrxsbGWLFiBS5ER2Otmsc+lAjzIyKQ\nlJQk2Ozkly9f4sGjR/g9KwvLoN7vJQXAbiIEBwQIEpOh40TM2FvUne17TCJBm8OHsS86WqPdopo2\nbap0l6AdO3agfv36as+oNjExwbRp01CuXDk0a9YMw4YNg6WlJZKSkuDr64vOnTsrvCY8PBx//fUX\n7Ozs5D/Vq1eHjY2N0vdYtGgRFi1ahFGDBiF961a14izw9mxiT09PeHp6FtlWiPW8rWUynH75Ejdv\n3pQ/FhcXh5EjR6Jq1aoICQlB586dIRKJcODAAezduxeXL19GVlYWpFIpMkxN4ZmTg5kyGb6E8uST\nAuBnAAsBlDMxwemzZ1HJ1hZdu3bFpUuX8P3336NFixYYOHAgvL29ERcXh6CgIFSpUgVmZmb4+OOP\n4e7ujrp168LU1BTjx49HbnY2ap87B2slm2moQsjZya9fv8ayZcuwevVq9OnTB529vbHpyBGNVxeU\nBZyImc4lJyfj4cOHaN68ub5DUaDvIgSbNm1S+nhKSgq++OILtGrVCnPmzIGbmxsePnyI69evy69U\nC65au3Tpgt69eyv0sW/fPty4cQONGzfG2rVrMXLkSLi4uKBGjRpK33P69OmYPn26wuNEhHv37iEy\nMhKRkZGIi4vD5cuXUa5cOQDaL3qSnp6OO3fu4M6dO4iPj8fp6GgoXp8XjyUAF2dnTF2wAHl5ecjL\ny4NUKsXVq1cxbtw4WFpaytt27doVXbt2xebNm/H69WtIpVLk5eXhwYMH+C0qCt/fvQu/cuUKbe15\nwcwMO3JzUb1aNTR3coK5uTnS09OxY8cOeHl5wd7eHgsXLkS/fv0wcOBASCQSGBsb4/79+/JYdu3a\nBbFYjGPHjsHBwQFA/klISzWTcIG3i4po4vbt23jy5AliY2NRp04dxMTEoNupU/ApxkktkD9isFgs\nxj4lf3ulFRf0YDq3fft27NixAzsNrGqOvosQ3L9/H5cuXZIn1oLk6u3tjaFDhyIzMxOhoaFYsmQJ\n2rRpgyZNmuDMmTOoXLlyoavWFi1aoFGjRh88Vnt7+2LFR0QYPXo0Dh06hLy8PLRr1w5eXl5o164d\n6tatK7+S1+bnuH79eowfPx5169ZF/fr1Ua9ePcScPIl+589jjBrvVSAUwJXBgxG2ebMGveTTdGtP\nqVSKsLAw9OrVC1WqVFF4/saNG9i0aRPGjx+PwNGjBS0qIjTeIlI1fEXMdO7SpUto1qyZvsNQIMS9\nxreH+e7du4czZ84Uur+anJyMDh064Ouvv1Z4/cWLF7Ft2zbY2dmhcuXK+Oijj9CiRQt5GVBzc3NM\nmjQJY8aMQWhoKK5du4aIiAi1Yv1QEiYihSFykUiEzp07Y9KkSXByclI6hF7QtyZFTzYCqPLfycW7\nhg4diuHDh8uvvgEgZPFiXLh6VaMr8LMmJmgiUNlROzs7jYZ5jYyMMHbs2CKft7KygkQigaurK2rY\n2uIztd8p39u3AVSRlZWFrKwsVKpU6YNtC5Jpm8BATJFIEECKRVaA/JOvcJEIS8RiQcuclhTlPtyE\nMWFdvnzZIBOxULWDb/83zHfr1i1ERETg/v37EIvFaNasGfz9/dGhQweF1yUmJuLBvXuobG6O9IQE\nJD18iLycHHTq1AkuLi6F2laoUAGBgYHYLMDVW4GEhARs3boVI0eORL169bB//36l7fz8/ODs7Fxk\nEi4wfvp0BIvFuFPMOO4ACBGLsbmI0RJTU9NCSfjly5cYEhCA3QBeFfO9CqQA2C2TYUgJmRjk4OCA\nlStXIj4+HtXr1EG0hv3FiMVwUuEkJCcnB6GhoahXrx62b9+ucv+jvvoK+6KjccnPDx+ZmeFLsRih\nyL8SDwXwpViMumZmuOznh33R0WUuCQMAL19iOiWTycjGxoaePXum71AU6KMIgTZ2JkpKSlK5bXh4\nODk5OZGNjQ21a9eOAgMDKS4uTu3qXo8fP6bhw4fTZ599RtZWVlT1v6U6qi7pKU6RiRMnTpC9vT09\nfPhQo/W8Sw10X+B3yWQy6tOnD+3Zs0f+2IsXL6hS+fJaXbqVk5NDGzZsIEdHR/riiy802iUrMTGR\nQhYvplGDB9MAHx8aNXgwhSxebDBbQeoLJ2KmUw8ePKBq1arpOwyldF2EQBsbpkskEqpZsyYNHDiw\n0N65ubm5Sttfv36dLl++TFKplPbv30+VK1emP//8U6FdRkYGXb16lXbs2EE//PADzZgxQ2l/KSkp\ntHbtWjp+/Dg9fPiQQlevpqrm5rRMw6In79q+fTvZ2dnRiRMniMgwi1poQ2RkJNWvX5969epFCQkJ\nRKTdcqJZWVnk7OxM7du3L7K4CtMcJ2KmUwVl/AyRLveX1WZJwrS0NJo5cyZVrFiRnJycqH79+tS3\nb1+VPoNLly5RzZo16fvvvyeZTEZpaWlUvXp1MjMzIxcXF+rWrRtNmjSJNmzYoFJ/REQxMTHk4epK\nFkqKngQUs+gJEdHSpUupRo0adO3atUKPG1qZR23JzMykGTNmUOXKlSksLIzOnTun1ZOQt0/omHZw\nImbsP0JXaOrRowdNmzaNTp8+Xai8pDav3u7evUtNmjQhS0tL+vzzz8nb25sqVapEq1evlre5du0a\n7dq1i4KDg2nkyJHk5eVFtWrVouzsbCIievr0Kbm7u5O/vz9lZmbSw4cPNS6POXPmTJo2bZp8WLJH\nhw5UqXx5WvzDD8UallywYAG5uLjQw4cPlT5fMMog9BW4Ibp69Sp5enrS77//XmZOQkorTsSMvUWo\nYT6ZTEZnzpyhGTNmkJubG9na2tKgQYPot99+I/8ePTR+j/T0dKXxZ2VlUWRkJF26dEmeWFNTU+n5\n8+fyNq1atSJfX1/69ttvac2aNXT06FF68OBBoZKKGRkZ1LdvXzp06JAgn+vkyZMpODhY/v+hoaE0\naNCgYvdz48YNSklJeW+bmJgY6tS6NZmLRDS0fHmNyo4aury8PPn9fFVPQpYAVOWtXadkMhkdOHCA\nZs2apc9DKdN4HTFjb4mJiUE3L69iVdYC8mf7tjE3L7Ky1qNHjxAREYFz585h7++/a7TGtqZIBJG5\nOZ49ewZLS0usX78esbGxiI+PR3x8PJKSklCnTh0cPnwYtWrVUuNd8hEpLmFS14QJE1C+fHl8/PHH\n6N+/P7p164b+/ftj/fr12L17t0pLYVQRExOD6dOn4+HDh5g8eTLSXr9G/PXraq3nLYliY2OxIigI\n+yMi4CcSFSoqEiMWY7dMhrp16mBZWBjatGmD48ePY/bs2UhPT8f8+fPRs2dPfR9CmcTriBl7i4eH\nB+aFhMBbjSIEBbWDlalVqxbGjBmDN2lpKAfN1ir3NjGBy8yZ8mpP2dnZaNKkCXr37o369eujZs2a\nMDIy+mBf//zzD5YuXYqZM2eibt26Cs8LlYSB/KUvSUlJePHiBXr06IGoqCiEh4dj48aNOH36NHx8\nfDTq/8mTJxg/fjzOnz+P7777DsOGDYOJiYlA0Zcc7u7u+HXnThw4cABXLl3Clfh4pbXP//77b7Rr\n1w4JCQmYO3cu+vXrp9LfDNMOTsSMvUObRQiEWKvcMicHV96qify///1PrX4cHBxQq1YttGjRAt27\nd8fMmTPx0UcfaRRbUXJzc5Geno4mTZogOjoabm5usLGxQdu2bREVFaU0ERdnIwJzc3O0atUKW7Zs\ngVgsFjr8EicqKgq//fYbfvrpJ3Tv3l3+uEwmAwCcO3cOAQEBGDRoEIyN89PAkSNHkJycjL59+8of\nYzqi56FxVoYcPnyYzp49q+8wVBYTE0ODevakSmZmGm9xWMAQN0xPSUmh2bNnk42NDQ0fPly+LEaZ\nCxcu0NixYyknJ6dY75GRkUFDhw6lsLAwOnXqlHyJ1MmTJ8nd3V2hfXR0NNnb21N8fHzxDobJvbvU\nSSKRUI0aNSgzM1Np+1OnTlHbtm3J0dGRVq5cWWjfZaZdfNrDdGbDhg3o3r07WrZsqbcYEhMT8+sA\nX7uGN6mpsLCygpObG4YOG6Zw9VUwzFdQO/jKW7WDi9riUCKR4Pbt27h586b8p0ePHhg4cCAAwMLK\nCukaHkNxSxJ+iLW1NebPn48JEyZg+fLl7x2SbtCgAR49egRvb2/s2LGjyJ2Y3mVubo7nz5+jRo0a\naN26tfxxT09P/Pvvv0hNTYWVlRWA/J2mxo4di23btqFevcI3B9LS0vDixQvUr19fjSMtW7y8vLBn\nzx5s27YNTZo0QVhYGBwdHXHy5El4e3srtG/dujWioqJw/vx5LF68GAsWLMDYsWMxZcoUmJubF+u9\ni/M9Y+ArYqY79erVo3/++Ucv762NClbvWrlypXy9ba9evWjq1Kk0depUWrVqlbyNLtcqa0teXh5N\nmjSJ6tevT7du3VL5dS4uLgprf4mI2rVrRwcPHiSi/M/QwcGBLl++XKiNRCKhpUuXkr29PX3//fea\nHUAZ8O+//1L//v2pSpUq9PTpU7p27RpdvXqVFixYQBMnTlS5j8mTJxdZDEYZXXzPSiNOxEwnXr9+\nTRUqVNB4Pao61K1gJZPJ6MmTJ3T06FFauXIlffXVV9SuXTuaOnWq0vdJS0ujs2fP0qJFi6hdu3Zk\nYWFBbdq0oZ9++kneRui1yrpy48YNhbW769evJ3t7ezp+/HiRr3vx4gUtCQ6mkf7+1NLVlQL69aMl\nwcGF4n/9+jXJZDJasmQJOTs70/379+XP5ebm0oYNG6hmzZrUvXt3iouLE/zYSpM7d+7QkCFDyM7O\njhYtWqSwzC0mJoYaNmyolffWRqW4soITMdOJ6Ohoatmypc7fV5NCB3v27CF7e3tq27YtjRkzhpYv\nX06HDx8u8h7qy5cvydXVlb755hvat28fpaWlKW2nzZKE2rJx40aysbGhMWPG0KNHj+SPR0ZG0oED\nBxTaq3NldOfOHUpOTi7UT7t27aht27Z05swZ7R1cKXHw4EGytbWluXPn0uvXr5W2kUqlZGdnJz+p\nenvteHHs2bOHjh07Jn89FxTRDCdiphPLly+nsWPH6vQ9Na1gpWz47NWrV7Rz584iJ7zoIi59FaJI\nTEykKVOmkLW1NY0dO5YeP36stJ2QV0ZPnz5VO1mUNRkZGfTy5csPthsxYgTt37+fiIi+/fZbGjt2\nLKWmphbrvXbs2EENGjSg5s2b08KFC0vk37Mh4UTMFLw9nDjAx4dG+vsrDCcW1/nz53V2X6hgOE6I\nK8/s7GyKjo6mWbNmUYsWLcjCwoK8vb0LXRWqoyRfQSQmJtLkyZPJyclJ4f5hST6usiglJYVGjBhB\nNWrUKLSrkyqkUint2bOHalhbU4ga3zF9jvAYGq6sxeRiYmKwIigIBw4eRE8AHllZ8qo8F8Ri7CZC\n186dMX76dHh4eOg5WiAvLw9RUVGFZijfvHkTJiYmuHjxIpwdHTWqYFXXzAztu3TBo0eP0LFjR3z+\n+edo1aoVzMzMBIl/XWgo5qi5VjkzM7PYM1mFlpubW6hohiZVyVoYG+PAqVN6nVGvbULMJH758iUW\nL16Mli1bws/PT7DYoqKiMGrUKLi5uWHVqlWoVq2aSq9LTEwU5Ht2+9Gjsj2bWt9nAswwGOpEi9zc\nXLp165bS4cm8vDzq0KEDjRkzhlasWEFHjhyhx48f50/8EWh28uIfftDq8amzVvny5ctUt25devDg\ngVZjKy5N9wTu9vnn+j4ErRBiJvGrV6/ka71Hjx6t8YiMMhKJhGbOnEmTJk1S+TWlYRWAIeBEzLQy\nnKju8PaOHTto9uzZ1Lt3b3J1dSUzMzOqXbu2Sve+3qatvYWTkpLo0qVLdP36dbp9+zY9ePCAEhIS\nipyY9S6pVEr9+/enK1euFHq8uBumL1++nBwdHenu3bvF+ly0RYjZ4GYA3bt3T9+HIihNT3AlEgkt\nWLCAKleuTMOGDdPJ51Oce/K63sO7tOKCHmVcTEwM5gQGFms4sR6Aw5mZaBMYiGYeHoXqK793eHvX\nLjh99x1atmiBKXPnol27dgp9nzlzBubm5vDz88OMGTPg7Oys1hDsm9RUWBb7VYVZAkh/9Uohvu++\n+w45OTnIzc1FTk4OcnJy0Lt3b6xatUqhj61bt2LChAkwNTWFqakp3rx5g8zMTNSrVw9NmjSRt7Oz\ns8OkyZMRGRmJ9evXI7tcOdyKj8e8efNgamqKli1bom/fvvL248ePR/ny5fHpp59iwoQJqFmzpvw9\nTE1NUatWLbi4uCh+Lm/eID09HSYmJoXalytXTqPPanN4OPygWQ3tnuXKIWjhQqzbsEGjWAzFutBQ\nBKvw3bIGMJEIvpmZ8A4MBPD/ZVaNjIzw8uVL/P3333ByctJ+0ChejXFtfc/KHH2fCTD9EnIpjapn\n/0sAsjcz0+rwtqGcqUskEnrx4gU9fvyYtm7dSpUrV5ZvO6jM3bt3acuWLbRx40YKCwujVatW0dKl\nSykiIkJp+ylTppBYLKbOnTtTr169yNfXl7y9vWnJkiVK22/bto2qVq1KNjY2ZGFhQeXLlycANGLE\nCKXt//zzT3J1daWPP/6YWrRoQa1bt6b27dvTjz/+WKidUJ+3u6trMT5dw1USZsbv3btXYblYUWJj\nY+nvv/9WeNxQvmclHSfiMkyI4UQrU1PatGkTfT9vnkHNljW0e1cJCQlUrVo1Onr0qCD9vW379u10\n48YNtV8vk8nke9q+KyUlha5du0YXL16ks2fPUnR0NB07doyuX79eqJ0QNbR/Qn6xkpH+/uTVvDnV\nqVqVGjdqRP3796dvvvmGZs2aVeT+yOnp6fTy5cti18DWlpKwVtzPz49+/fVXldoeOnSIqlWrprDU\nydC+ZyUVJ+IyTIgvUX+RiGo7OpJ9+fIGdfZvaBWsOnbsSHPnzhWkL33KzMykixcvUmRkZKHHNbky\nugCQP0CWAA0ACk1mGmxqSpYmJtSicWMaNWoU7d27V2lc69evJ2trazIyMiKxWExVqlSh+vXr0+Ii\n/oGPjY2l1atX05YtW+ivv/6iqKgounTpEr148ULjz8jQ/vaKsnbtWvL391e5vbKlTi9evKBK5csb\n/LEaOr5HXIYJsSXfZ0S4JpNhfE5OsZasAPn3mqdIJFgRFIRfd+7UKI532dvbo2vnzti0Zw8mEBX7\n9ZtEIvh06SLYkooff/wRDRo0EKQvXUpOTsbKlStx/fp1XL9+HY8fP4aTkxO8vb3h5eUlb+fk5oYL\nO3diTDH/ntYBmANgKoBVULzHPCYnB68AhF+/jsV376J506ZK+xkxYgRGjBgBIkJmZibS0tKQlpYG\nCwsLpe1TU1MRFxcnb1fwM3DgQEyePFmh/ebNm7Fx40ZUrFhR/mNlZYXPP/8cHTp0KNw2PBw9lByL\nqmwA+IlE2BwejklKYhGKt7c3Zs+eDZlMptIcAWtra6xfvx7R0dEYNWoUIiIiMGPGDJgYG+OX7Gx8\nq0YMQn/PSipOxGWYEBMtZAAePn2KoWokOwAYSoT5ERHF2ntWVeOnT0e3w4fho8a61sViMfZNn/7B\ntqquDXV1dS3+AeiATCbD/fv3cf/+fXz++ecKzxsbG0MkEmHAgAFo1KgR6tWrB2NjY8TExBT6nQ0J\nCIDznDlYCtUT0DoAwQBOAWpPZnqXSCRChQoVUKFChfeuhW3fvj3at2+vYqRAhw4dUKtWLaSlpSE1\nNVWeuEnJ3/3ta9fQQsMTXA+JBFfi4jTq40Nq164NW1tbXL58Gc2bN1f5dW3btsXVq1dx48YNODg4\nYNaiRVgweTK6FfNk/A6ARSYmOKjC96zU0+8FOdMnISZa9ATI38jIYO8RaavSk6HvMrNq1SqF4WOi\n/OVTISEhFBAQQO7u7lShQgWqVasW+fr6fnDZyr///kuzZ8+munXrUv369RXqPxfnvugFgKr+93kb\nyu0MoRjintNFmTBhgsa7WV24cIEqmZhQnWL8PuMBqgNQJRMTg/5d6gon4jJMiHvELiKRwc+aLJjN\nvew9s7lfIr+ohCrFSgy1+EmB5ORk+vHHH8nW1pYOHz6s8Py0adNo3bp1dObMmSI3B3jb8ePHqVmz\nZlStWjWaOHEixcTEKE3axZkp7A/Qj2r+vRh6WcSSNJP46tWrdOLECY36KDgBC0P+ydWy//7+i/ye\n/dcurAT8LnWFE3EZJsikEqBEnP2rU8FKGUOspfzbb7/RhAkT6PPPP6eqVauSlZUVtWrVinbv3k12\ndnbyAv/qunXrFh0/flzpFpbq1Jp+8d/fTWmd4FMaZxLHxMRQ+/btFTaHePffkBiABv33+x323/dL\n/j377/FB/7UrCb9LXeFEXMZpuszCpWZNQc7+27i7CzJj9UOKW8HqbfpaGyqRSOjKlStFVhf74Ycf\naMmSJXTw4EF5ic8C586dI3t7e9q1a9d73yMjI0Pp1fP7nD17lurXr6+wC9OHRiCWABSg4d+MoSWq\nt5WUWdOqyMrKopkzZ5K9vT1t27ZNYSSkqJOORIBCABqF/Jnwo/77/8QS9rvUFU7EZZymyeWbceM0\nPvsfbGJCLTw86ObNm/r+ON5LV2tDo6Ojae7cudS7d29q0KABmZmZkaurK50+fVqtuC9evEjNmzcn\niURS6PHc3Fw6dOgQDRkyhCpVqkSdOnVSaKOMTCajkJAQsre3L3I50ftGIBoZGZWYoVtVyGQyioqK\nKnSiVRLWEX/IxYsXqXHjxuTr61vkHtwlaRjekHEiZhoNt2r77F8mk1FAQAAtX76crly5UmThCW0T\n8jilUindv3+fnj59qvS91q9fTzNnzqTt27dTXFwcZWdnaxz/u5/b999/T/b29tSiRQtasWIFPXv2\nTKV+UlJSqFu3buTp6Un379+XP56QkEBHjhxRaK9sBMKzYcMScTvjQ6RSKe3atYtatGhB9evXL1T9\nrCRU1nqfx48fU5UqVWjz5s3vncRXkiamGTJOxIyINJvQpM2z/7y8PNq6dSuNHDmS6tevTzY2NtSj\nRw9atWqVLj4WOSHu+/kbGZFjzZpkYWFBDg4OtHHjRp0ew9uOHz9Od+7cKdZrpFIpNW3alCZMmFDo\n5CAvL4/at2+vcsESoa6iRg4aRMOGDaNdu3bp9AQtOzubNmzYQM7OzuTh4UE7duxQev/cEOcTFIcq\nG5nwFbEwOBEzOXUnNOny7P/p06e0bds2WrBggdCH/15C/YPTw9ubUlJSdBLzw4cP6dy5c4L2+fz5\nc4XH5s+fT15eXkqTEZHibj5CTWb6avRoqlmzJtWtW5dcXV3pt99+KzIGIWVkZFCfPn3oxIkTH1zy\nJfSMfW1ZsWIFrV69utivK40T0/SBEzFToM6EJk3P/s+fPy/IVU1kZCR169aNli1bRpcuXRLsH+aS\nMgSXlJREoaGh1KZNG7K1taVFixYV2VaIJB0VFUVVq1YtcpidiKhKlSqUlJQk/3+hhvlfvHhB+/fv\np8aNG1PDhg3J1dWVnJ2dPzgxTdeEmrGvLYmJibRr1y7q1KmTyq/JycmhuLi4UjUxTZ84ETPBqHv2\nL5FIyN3dnWrXrk2LFi1S+X6lMi9fvqTt27fT6NGjydnZmSpVqkTdunWjAwcOaHRshj4El5qaSl27\ndiUrKyvq378//fXXX++9t5yamkp169al4OBgtd8zMTGRatSoQQcPHiyyTV5eHhkZGSmcEGl6O8PD\n1VV+/zIvL49+/fVXql27Nnl6ego25B8fHy/oiIImM/a1ITc3l4KCgsje3p7u3btHFhYWlJGR8d7X\nSCQSCg0NJUdHR+rXrx8RlY6JafrGiZgJSpOz/5iYGBoxYgRVqlSJevfuTSdPntQ4noSEBPrtt98o\nKipKo34MfQhOJpPRzp07KT09XeXXPHnyhJycnGj+/PkKff3000+05gPDpBcvXqQffvjhvW1evHhB\ntra2Co9rejtjy5Yt1KhRI/Lz85Mve8vOzqawsDDKyspS+TNQJjY2lvr06UOVK1emtWvXatSXobpx\n4wZ5enpShw4d5FtytmnTpsiTqjdv3tCyZcuoevXq1KVLl0JbIpb0iWmGgBMx0wpNzv5fv35Nq1ev\npp9++knrcY4ePZp8fX1p6dKlFBsbW+RQtiEMwUmlUjp58qTCul1NPHv2jFxcXGjWrFkkk8no9evX\n1KdPH2ratCndvn1b4/6vX79ODRo0UPqcprczsrKyaPr06VSlShXasWPHe+PIzc2lsLCwIq/4ZDIZ\nHT16lDp06EA1atSgZcuWFeukpqTIy8ujxYsXU+XKlSk0NLTQPe6FCxfS+PHjlb6uZ8+e1KtXL7p4\n8aLS50v6xDR940TMyrTnz5/TH3/8QWPHjiUXFxeysrIiHx8f+VXC2/QxBCeTyejKlSs0ZcoUqlmz\nJjVu3FiQkYK3JSYmkpubG40fP57q1atHY8aMUWk9sSqioqKoTZs2RT4ftmYNVRGLaakGk5nOnj1L\nTk5OtGzZsiLf59ixY+Tj40NVqlSh4OBghSSbl5dHvr6+FB4e/t4h/RcvXtCS4GAa6e9PA3x8aKS/\nPy0JDi4x9ziTk5OpV69edPfuXYXnLl68SO7u7kpfp8oSupIyMc0QcSJmJYpMJqO+ffvSsmXLiqw0\npYmCxKzsakjXQ3BRUVHk4uJCjo6ONH36dLp27ZpQh6kgPDycbGxsaNu2bYL2u3PnTur5gRMQISYz\nZWRkFJoQ9q4ZM2aQnZ0dTZo0iXr37k12dna0YMEClWptExn+Jh9CkEqlCiUsi8vQJ6YZKhERkb53\ngGJMVUSE06dPIywsDPv370e3bt0wevRotGrVCiKRSKvvnZGRgWr29qiYlYUomUylLd/uAPA2N8fU\nkEUg3NEAACAASURBVJAit+4ryuPHj/H48WN88sknWj+2+/fvIycnB87OzoL3LZVKYWRk9MF2SUlJ\n+VtKxsUh/dUrWFpbw6lxYwwJCBBki8x//vkHU6ZMQWxsLL755hvcvHkTPXr0QO/evd/7unWhoZgT\nGIipEgmGEind5vEVgHCRCIvFYsxT43etb48ePcKSJUuwZ88exMfHw8zMTKP+tP27LHX0ex7AmPqS\nkpIoJCSEnJycqHv37jp5zxcvXtDoESPIxtiYluADu8yoMASXmppKf/755wfXoxqC0NBQCg0N1XcY\nxVIwpPrkyROaNGkS2djYkL+/P3322WfUq1evD76+pN77lEqltHXrVoVNOd4VHx9Pw4cPJxsbG5oy\nZYrSdeJM+/iKmJV4RISEhAQ4ODgI1mdiYmL+Gf21a3iTmgoLKys4ublh6LBhsLOzQ2xsLFYEBWH/\ngQPoDqBFdjYsAaQDiBGLsZsInTt1wjfTp6Nly5aF+s7OzsahQ4ewdetWHD58GF5eXtiyZQssLS21\nFq86iAgymQxGRka4cuUKOnbsiDNnzqB+/fpqx6lrXbp0wYMHD/D8+XMMHToUEydORK1atUBESElJ\nga2trcJrMjIykJaWhidPnqCblxdOZWYWe8P7Nubm2BcdDXd3d8GORVX379/Hl19+iezsbOzZswf2\n9vZK261evRpz587F119/jW+++QY2NjY6jpTJ6fU0gDEtu3Tpkkql+goU917g+2aHb9myhSpWrEid\nO3em4OBgOn/+PM2bN49sbGyobdu2tG7dOo3vcxc33vT0dFq5cqVKV+CbNm2ivn37UkpKCjk5OdHW\nrVs1ilUVz58/13h/3Ld16dKFmjRpQnXq1Cm05OZ9Tpw4QdbW1tSoTh1aVoLWx0qlUlqzZg3Z2trS\nkiVLPljM5unTpxrfE2bC4ETMSrVx48ZRpUqVaPTo0XTp0qX3ti2Y9fnje2Z9pvz3j6yqsz6TkpJo\n586dNG7cOGrcuDGZm5tTSEiIIMdW3Hi/mzWLGjRoQF9++aVKs2AlEgl16dKFatasSQEBAYLE/CHX\nrl2jqlWrUmZmpqD97t69m6pVq0aTJ09+74zwtLQ0Gj58OO3fv58sjIxKTMWo169fU4cOHcjDw4Nu\n3LihUV8vX74scpkS0w5OxKzUe/r0KS1YsIBq1apFHh4etGHDBoUrQiHvBd6+fZuOHz+uNJakpKQi\n78M9evSIcnJyVDomdeKtClDAkCEq9V/gl19+IUtLS/L29lZrSZM6O0d169atWJt65OTkfPAkiyh/\n9KJXr14UFhZWZJuMjAxauHAhVRCLyd/ISK0kXPCjyxrKUqmUNm/eXOiesEwmo2PHjlGHDh0oPj5e\n5b5OnTpFjRo1KtHLtEoaTsSszMjLy6MDBw7QpEmTCj0uxLKkhIQE+vHHH8nDw4OqVq363hrPRRk4\ncKA86QUFBdGZM2eUJmZdLqN6/vw5Xb9+nfr160cdO3b8YAnEd1WpUuW9daiVOX/+PNWqVeuDSfzN\nmze0cuVKcnR0JF9fX5WG22UymUrthvTubdAlTd9HJpPRvn37qGXLluTs7EybNm1S+QTvwoULNKB7\ndxIDNKyULtMyRJyIWZmnSaGOpSIROdrZUaVKlSggIICOHDnywZmq75OcnEy7d++m8ePHU5MmTcjS\n0lJhU3Z9FBbJzc2lKVOmFCupSqVSMjY2Vuuq+PPPP6eff/5Z6XPJyck0d+5csrOzIz8/P8F3mCIq\nOZt8vOvixYvUtGlTcnNzo99//71Ym55o49YMUw0nYlamCVG6sqKJCT18+FAr8b18+bLQFZwhlNpU\nVUpKCllZWan12sjISHJ2dlZ69Tp48GAaPnw4/fvvv5qGKHfjxo1CJ1CGusnH06dPqX///vTkyROl\nzz969Ij++uuvYi+HK6nLtEqLcvqetc2YPm0OD4cfoLRIgypsAPQyNsafv/8uYFRv9W9jU6iYhxDx\n+olE2BweLkB075eUlKT20qm2bdsiIiJCaSGTTZs2YcOGDYIWH5k3bx7atGmD27dvAwCc3NxwQcOi\nFjFiMZwaNxYiPBARfv31VzRt2hTOzs5Ffq41a9aEr69vsQrAxMTEYE5gIA4XY5lWPQCHMzMxJzAQ\nsbGxKr8XU85Y3wEwpk+3r12DZ1aWRn14SCS4EhcnUETvJ1S8kSdPIm30aFSsWLHQc4mJibCxsYGx\nsfr/NBSsaT59/Diyk5MxatAgtdY05+XlKX1cG1XGtm3bhtDQUHz66aeYNWsWBg0ZgoZz5mAp1Dvp\nSQGwmwjBAQGFHldnvffz588xevRo3L9/H4cPH4azszPWrl2LVq1aCbJOeUVQEKZKJMVaKw3kJ+Mp\nEglWBAXh1507NY6jTNP3JTlj+qSNe4G5ubm0bds2ioqKolu3bgm6i49Q8VazsKDff/+9UN/Z2dnk\n7u5OI0eOpK+//pq+++47WrlyJW3dupUOHTok326wgEwmo2XLlskfF6Ies1QqpT179tAnn3xCDRo0\nUOv+sibi4+Pp008/JS8vL/Lr1Emwe/HqfjZv3rwhBwcHmjVrFiUnJ9MPP/xAVapUoR49etA///yj\n8fGWpFsdpRkPTbMyzcLKCuka9pEOwNL6/6+bMjMzsXfvXnz33Xfo2rUr7O3tUbFiRbRq1Urp63Nz\nc3Hnzh1kZmbqLF5fPz/07du30OPTpk1DjRo14O/vLx/2vXXrFvbt24elS5fi6tWrCn29fv0ajRo1\ngpurK7745BM0270b97Ky8HNWFsYA8AcwBsBGiQT3srLQfM8edPPywrrQ0EL95OTk4JdffkGjRo2w\nYMECTJw4EdevX4epqamGR1s89erVQ3R0NLp27YquffsiWCzGnWL2cQfAYrEY46dPB5Bfq7qblxfc\n9+wp9mdToUIFnDx5EsbGxmjQoAGuXr2KY8eOYffu3XBxcdH4eEvSrY5STd9nAozp05LgYBpmZqbR\nFeaH1osW7POrbOs5ovwJNh999BGZmZmRlZUVNWzYkNq3b08TJ07UWbx//fUXOTo6qlXpq13btlTt\nvwk8qk70qV6uHDV2daXBgwfThAkTqHXr1tSqVSs6duyYQdXd1nQSkxCToF69ekVjxowRZH/odxnq\npLSyhhMxK9MMaWhOJpNRSkoKXb9+nY4ePUr79+9XGq+Vqamg8T569Ijs7e1VLgH5Nk3WNNuVL0/f\nffcdhYSE0NSpU+nmzZtK3+OLL74gKysratq0KXXo0IH69u1LX331VZGJKSMjQ9Bkru4+u7reNlMd\nJXWZVmnDiZiVefpYl6tRvD16qF0DOeT/2rv/oKrK/A/g7ysoXBTl8ktFDcFd/BW0NlDf75TpN0IF\nfySFi/sV8scW5kxKKsZSprKOi+h11WkTf2QBun5xCWwkIdxtJ8BG85Ip/tiVgNQsXBABFS4il+f7\nB0EmIPfHuffcC+/XTDMNnPOc5x4d3/c8z3M+DyD++4knRHZ2dsf+xm+99ZbYvHmzcX2xwL2rra0V\nI0eOFPv37xf5+fni0KFD4r333hPff/99l8cHBwcLe3t74enpKcaPHy+effZZMXfu3G5fd7py5Yq4\ncePGI4tetO+z69y/v1jk6KjXPru28PeKT8TWgbsvUZ+n0WhsapcdU/r7X/37Y+qcOdDpdPD19cW2\nbdvQ2toKAOjXr23JyMWLF5GRkQEvLy94eXlh+PDh8PLywtChQ9G/f/+O9qqqqjDW2xsVTU1Grywe\n4+iI0mvXelxNvXv3buTk5ODYsWN6td3c3Ixbt26hpqYGN2/eRE1NDaZMmdLlbktz587Fl19+idra\nWgwaNAhubm5wc3PDwYMH4efn13GcEAIrV67Evr17MWn8eHi4usLVwwMTJk3qtM+uJe+NKTasX48r\nyclIvXfP6DaWKJWYmJiI1WvWSNizPkbmLwJEVsHWChqYs7+lpaUiMTFRLF26VMyZM0cEBgYKLy8v\n8bvf/e4Xx1lifr2dVqsVXl5eetWUNpZOpxM1NTWitLRUnDx5Uty9e7fL40JDQ8WAAQOEUqkUDg4O\nwtHRUYwYMUKUlZV1HGPJe2Ooe/fuiezsbPHiiy8KZ2dnMcje3iqmZvoyBjHRT4ydC+wr/X143lXq\nYc3MzEwREBAg/P39hb+/v3j88cfF448/LjZs2CCEEGLbtm0iIiKi4/qHDx8W48aNE2PHjhV+fn7C\nz89P/PrXvxbvvPNOl/0/dOiQ8PHxEaNHjxajR48W3t7ewtvbW/zhD3/o8vgDBw4ILy8vMXz4cDF8\n+HAxbNgwMWzYMBEXFycaGhpEbGys8PLyEkVFReLq1ati//79wt3dXbi5uYkhAwZY3ZDv7du3xfLl\ny4W7u7t47rnnxP79+0V9fb1NDKH3dhyaJnpAcXExdiYl4dPcXIQrFAjSauGMtld+NEoljgiBWWFh\niE1IkGXT94fJ2d//nT0bMz/9FAtMaOMggNxZs3AoJwc1NTW4fv06gJ+LdigUCqhUKowcORINDQ2Y\nMGECvv76a7i7u6O2thY3btzoOK79HBcXFwwdOrTTtW7fvo2bN292an/QoEFwd3fvdHxDQwPq6uo6\nHa9UKuHi4gIAKCgoQEBAAFQqFbRaLe7evQsAWBYVhfDjxyW7N1LQ6XRQq9WYN28efH19O35ua1Mz\nvREraxE9IDAwEAeyslBdXY301FScPX8ed2pr4axSYaK/P5IfmguUmzH9PXToEKZOnQovLy+Tri31\nO9jtc7PdGThwIEpLS+Hg4AAAUKlUUKn0n4EdPHhwp0pijzJw4EAMHDjwkcdMmTKl4/+VSiWUSiUA\nwNXDQ/L30/XV1NQEnU7Xqe92dnaIj4/vdHxQUBAS1WpMN6DMZRmA6U5OSFSrGcJSkPuRnIgsp7Cw\nUAwdOrTbTQMMYc3zoHKz9L1pbW0VJ0+eFEuXLhWurq4iIyPD4D7b2tRMb8KhaaI+oqamBpMmTcLu\n3bsRFhZm8PlNTU1oaGjoeGq1lZXBlqbT6TB37lwUHj+OK83NZr03//nPf7B//36kpaVBCIFFixYh\nKioKjz32mFF9t7Wpmd6CJS6J+oD2f6QjIyMNDuHLly9j9erVGDVqFA4ePNjxc09PT8wMDUWakZsw\npCkUmBUW1qtCGGgbAl6yZAnsFAp8ZGQbD96bxsZG7NmzB01dbPZx/fp1XL16Fampqbh8+TLefvtt\no0MY+Hmqo/TaNUxMTMTZ6GjkzpqFs9HRmJiYiNJr13AgK4shLDE+ERP1Aj3t6rN9+3YcPnwYhYWF\netVvbm5uRnZ2Nvbs2YNLly5h8eLFeO211zBmzJhfHMeFPt07fvw45oeF4bROZ9K9+eGHH7B06VJ8\n8803WLNmDWJiYuDk5GSubpMc5BwXJyLT6Lurz4oVK0RFRYXe7VZWVooXXnhBHD58uMcdkEx9p9mY\n+erW1lYREREhqqurDT7Xknbv2iUeGzDA6HtTUVEhNmzYIMaMGSNycnJEeHi4GDZsmNi6dauku3qR\nvBjERDaqfXHN9kcsrrn107ue5l5cY+xCn7q6OuHl5SXUarXB9aFjYmLE2rVrzfFxJLVn1y4xVKkU\n2/S8Nzu3bxc7d+4UY3x8hIuDg/AfPVq8NGOG2JKcLKqqqsS5c+fEb3/7W3H8+HG5PxpJhEFMZIOk\nqKxVUVEhEhISRGFhoSR9aq/H7OLoKBYrlXrVYxairdZzYGCgiIiIELdv39b7euXl5cLNzU3U1dVJ\n0n9z0vfepKamiifHjRNO/fqJKDs7o/Z0JtvDOWIiG2PqvOyqDRvw+eefo7i4GNHR0VixYgV8fHwk\n61/7O82lD7zT7Ofv36ke84OampoQGxuLgoICZGdn673XbnR0NCZMmICEn/b+tXYP3xuls3NHreoj\nH3+M9XFxeEurxSIhulxtXQsgVaHAFqUSiWo1YpYt+8Xv6+rqoNPpHvk+Nlkhub8JEJFhTClJuBUQ\nI11dRXp6umhsbJT7o3Ty0UcfiYkTJ4r79+/rdfyFCxeEp6dnt3WhrVFdXZ3Yu3eviI6OFj4+PmLH\njh0i5f33Jakdnp2dLVQqlYiPj2f9ZxvCICayIda0f3JPtFqtyM3NNfi8pqYmg45/9dVXxalTpwy+\njiW1tLSIzz77TMyfP18MGTJEvPzyy+Lo0aPi8uXLwt/fX6j69ZNs3+IrV66IZcuWCZVKJVavXi0q\nKytl+tSkL75HTGRD0lNTEQ4YVSQCAFwBhCsUSE9Nla5T3dBqtZg/f77B57WXsNTXvn378PTTTxt8\nHUsKCQnB2rVr8eyzz6K8vBwff/wxZs+eDT8/P/j7+uJdIQyaZgCAXwF4S6vFzqSkX/zc29sbu3bt\nQklJCZqbmzFx4kRUVlZK9llIepwjJrIhMVFRePKvf8XrJrSRAuBsdDT2pKdL1a0utba2on///mhu\nboadnZ1Zr2Xt6uvrMWTIkE4/t0R1straWoNqcpPl8YmYyIbcra+Hs4ltOAO4U1srRXceqV+/fhg8\neHDHDkam2Lp1K7Zu3QprfW64f/8+cnJykJmZ2eXvuwphwDIjHN2FsLXey76IQUxkQ6Te8cjcVCoV\naiUI/cjISGRmZiIiIgK3b9+WoGfSOHfuHFatWoVRo0Zh8+bNBp9fWlKCp7ooXWmIIK0WpefPG3ze\nm2++iUWLFqG0tNSk65PpGMRENsQvIACnHR1NakOjVMLP31+iHj2aVEH82GOPoaioCB4eHggKCsLF\nixe7PE4IgdbWVlRVVUG9ZQtioqLwv7NnIyYqCuotW1BdXW1yXwDgzp07mDRpEmbPng0nJycUFhbi\nyy+/xLx58wxqR84RjsTERPj6+uKZZ57BggULcOnSJRN7QkaTdakYERnEllZNCyHE2rVrxfnz5yVt\nMzU1Vbi7u3dZWSosLEz8z1NP9VjyU4qCGCdPnhQ6nc6kNl5bsECkGPln2f7fLkDEREcb3Yf6+nrx\npz/9SXh4eIgFCxYYXOGMTMcgJrIxprxH/GeFQkS99JLcH8Fk33zzjfjxxx9/8bM9u3YJDwcHoQYk\nKfnZ2toqNBqN+O6778z2OaTet7i8vFzvd7AfdufOHZGXlyflxyM9MYiJbMzp06fFMAOKP/T03mlv\nIEXJz3Y//PCDSE5OFhMmTBC+vr7is88+M1u/JRnhcHDoGOGYOXOmcHFxEeHh4WL37t1m/RJB0mEQ\nE9kgKYPH1kn1xeTChQtixowZwsXFRSxZskQUFhZaZJjWlBEONdoqpWm12o72KisrRXp6uliwYIHw\n9PQU48aNM7hIysP++Mc/ihMnTpj6UakbDGIiG2Xsjke9jVRD9devXxcHDx4UDQ0NFu2/qV8kQkJC\nRGRkZJfz1TqdTvzrX//q8ro6nU6vOe7W1laxb98+MXr0aPH888+LL774wuTPTL/Egh5ENqy4uBg7\nk5LwaW4uwhUKBGm1bato0bY6+ogQmBUWhtiEBAQGBsrdXclZoiCGJexNSUFyXBzy9dzIowzAdCcn\nxKvVeGXxYmRmZiIqKgoKhULvaxYVFSEiIgIhISGYPn06pk2bhqFDh3Z7/P3793Hw4EFs2rQJI0aM\nQGJiIqZOnar39dpVVVW1bXxRUoK79fUYNGQI/AICsHDxYln/DOTEICbqBYzZ8cgSfvzxR5SVleG5\n554zS/vqLVtwaf16fGjCu7hLlEpMTEzE6jVrJOyZ4fampPS4+9IttO2+tLWb3ZcM9d133+H48ePI\nz8/HP//5T/j4+GDVqlWIjo7u9pyWlhZkZGSgrq4Ob7zxht7X0mg02JmUhGN5eXgJQFBTU8eXxtM/\nfWmcGRqK2IQEBAUFmfS5bI68D+RE1Jvl5+eLF154wWztW8PrP1IydE/nlpYWERoaKs6dO2fyte/f\nvy9OnDghvvrqK5Pbelj7NMr2R0yjGLKivbexl/uLABH1XiqVSpISl92xpZKf+ggMDMSBrKyOEY6z\nD4xwTPT3R/JDIxx2dnZYuHAhpk2bhtzcXDz55JNGX9ve3h7PPPNMt79fs2YN6uvrMX36dAQHB8PF\nxaXTMUII/OMf/0BwcDD69WurF9U+7N7T/tkqACuFwOzGRkyPiwMAk5/4bQWDmIjMxsXFRZLKWt2x\ntZKf+vLw8NB7qDwyMhIDBgxAaGgojh49iqeffhrffvstnJ2dMWzYMMn69OqrryI3NxcffPABFi9e\nDH9/f0ybNg3Lly+Hq6srgLYNJt5++21otVq8++678Pb2xno9QvhBvwKQ39iIyXFxeDIoqFeubXgY\nS1wSkdlIVeKyO7ZW8tNcwsPD8eGHH2L27Nk4ceIEsrKy8OKLL6KxsVGya4wdOxYrV65EXl4eqqqq\nsGHDBty5cwf29j8/z7m6uuL06dPYunUrduzYgRdDQvCWVivZFo+9FRdrEZHZtLS0wNHREc3NzR1D\nlVLqLaumpfL3v/8dn3/+OZKSkvDKK6+gsbERmZmZZrn3j3L37l2sWrUK//fRR7jW0sI/mx7wiZiI\nzMbe3h5RUVFobm42S/uenp6YGRqKNANe23lQmkKBWWFhveYf+pCQEGzevBkKhQIffPABbt68ifj4\neIv3o6WlBd9fvYo5Op1Zt3jsLRjERGRWqampcDRx+PhRYhMSkKxUoszA88oAbFEqEZuQYI5uyc7B\nwQFHjhzB0aNHsXv3bote28XFBaM8PDDZxAFXY7d4tDUMYiKyaUFBQUhUqzHdyUnvMG4viJGoVvfq\nxUCurq44duwY+vfvb/Fr97YV7ebEICYimxezbBni1WpMdnLCdoUC3f3TfQvAnxUKTP6pKlVfeD1m\n8ODBsgy999YV7ebAICYim3Pq1ClERUXhwbWmMcuWIaegAGfCw+Hr6IglSiVSABwEkIK2ClpjHB3x\nTXg4cgoK+kQIA8DNmzfx+uuvIy0tzaLX5Yp2/XHVNBHZlPz8fERFRSEtLQ1hYWFdHmOtJT/l8u9/\n/xshISF49913ERMT0+n35qj/zBXt+mMQE5FZnT17FgqFAk888YTJbWVkZCA2NhbZ2dmPrAJFnZWV\nlSE4OBhr1qzBjBkz4OPjgzNnzpi1/nPUSy8h8JNP8KYRMbNdocCZ8HAcyMoy+FxbwyAmIrPauHEj\nmpqasGnTJpPa2bVrFzZt2oS8vDwEBAR0e1xra6vF35u1FVeuXMHzzz8PLy8vOA4YgItffYV4rRYL\nu9lkohZtm0xsMXKTCY1GgzlTpxpUWQtoW0w32ckJOQUFvXoxXTv+bSUis5Ki3nRraysuXryIoqKi\nR4YwACQlJWHjxo0mXa+3Gj16NDQaDV4OD8elL75AUWMj3uwmhIGf6z8XNTYiOS4Oe1NSDLoeV7Tr\nh0FMRGYlRZnLfv364f3334evr2+PxxYXF8PPz8+k6/VmFRUV2LJuHQqFMLj+8/q4OBQXFxt0Pa5o\n7xmDmIjMytz1ph9WXFzcZ56kjLEzKQnxFq7/zBXtj8Y5YiIyq5MnT2LlypU4deqU2a9148YNjB8/\nHrdu3YLCyLKXvZk1rGTmivbOuA0iEZnVyJEjERwcrPfxdXV1WLduHZKTk6FUKg261tdff43AwECG\ncDfSU1MRDkhS/1nfbRofZsgWj30Fh6aJyKxGjRql94rpyspKTJkyBXZ2dnBwcDD4WuXl5Ua9ZtNX\nlJaU4KmmJpPa6Cv1ny2JT8REZDaGFIooLy/HtGnT8Pvf/x4JCQlGPdWuWLECnG3rHus/WycGMRFJ\nTqPRdF8oIjsbfuvX/6JQxLlz5xAWFoZ169Zh6dKlJl2bw9LdY/1n68QgJiJJ7U1Jwfq4OMRrtXiv\ni3dUX9dqsQ1A6iefYE5+PhLVapRcvIgdO3Zg3rx5cnS5z/ALCMDprCy8bsLwtEapxMQ+UP/Zkrhq\nmogkszclBclxccjXs5JSe/GGvvbeqFysYdU0dcbFWkQkCY1Gg/UGhDBgWqEIMpynpydmhoYizcjh\n+zSFArPCwhjCEmMQE5Ek5CgU8aALFy7g3r17JrXRF8QmJCBZqdS75GS7MgBblErEJiSYo1t9GoOY\niExWVVWFY3l5WGjkTNdCIfBpbi6qq6uNOl8IgeDgYKPP70tY/9n6MIiJyGRSFoowxvXr16FQKDBi\nxAgje9C3sP6zdWEQE5HJ5C4U0V5fmq8u6Y/1n60HX18iIpPJXSiCGz0YJzAwEAeysjrqP599oP7z\nRH9/JPfh+s+WxCAmIpPJXSiiuLgYy5cvN7EHfRfrP8uLQ9NEZDK/gACcdnQ0qQ2NUgk/IwtFjBw5\nkk/EZLNY0IOITMZCEUTG4xMxEZmMhSKIjMcnYiKShEajwZypU1FkQGUtoO0d1clOTsgpKODwMvVJ\nfCImIkmwUASRcRjERCQZFoogMhyHpolIcsXFxdiZlIRPc3MRrlAgSKvt2I9Yo1TiiBCYFRaG2IQE\nk56EKysrUVBQgPnz50vWdyJLYxATkdm0F4oofaBQhJ+/P155qFDEmTNn4O3tDTc3N4Paz8jIwN/+\n9jdkZ2dL3XUii2FBDyIyG30LRWRmZqK4uBh5eXmwt9f/nyVW1KLegHPERCS7jRs3AgDeeecdg85j\nEFNvwKFpIrIKNTU1CAwMxObNmxEZGdnj8a2trVCpVKioqDB4SJvImvCJmIisgpubG44cOYI33ngD\nJSUlPR7/7bffws3NjSFMNo9BTERW4ze/+Q3+8pe/4Pvvv+/xWCcnJ2zatMkCvSIyLw5NE5FNqKqq\naluBXVKCu/X1GDRkCPwCArBw8WKWxiSbxiAmIqum0WiwMykJx/Ly8BKAoKamjneST//0TvLM0FDE\nJiQgKChI5t4SGY5BTERWa29KCtbHxSFeq8VCIbrc2akWQKpCgS1KJRJZpYtsEIOYiKzS3pQUJMfF\nIV/PTSTa61azZCbZGgYxEVkd7uREfQlXTROR1dmZlIR4rdagEAaAXwF4S6vFzqQkc3SLyCz4RExE\nVqWqqgpjvb1R0dTU5ZxwT24BGOPoiNJr17iammwCn4iJyKqkp6YiHDAqhAHAFUC4QoH01FTpgksH\nhAAAAh1JREFUOkVkRgxiIrIqpSUleKqpyaQ2grRalJ4/L1GPiMyLQUxEVuVufT2cTWzDGcCd2lop\nukNkdgxiIrIqg4YMwR0T27gDwFll7OA2kWUxiInIqvgFBOC0o6NJbWiUSvj5+0vUIyLz4qppIrIq\nXDVNfQ2fiInIqnh6emJmaCjSFAqjzk9TKDArLIwhTDaDT8REZHVYWYv6Ej4RE5HVCQoKQqJajelO\nTijT85z2WtOJajVDmGwKg5iIrFLMsmWIV6sx2ckJ2xUKdPcy0i0Af1YoMJkbPpCN4tA0EVm14uJi\n7ExKwqe5uQhXKBCk1XbsR6z5aT/iWWFhiE1I4JMw2SQGMRHZhOrqaqSnpqL0/Hncqa2Fs0oFP39/\nvLJoERdmkU1jEBMREcmIc8REREQyYhATERHJiEFMREQkIwYxERGRjBjEREREMmIQExERyYhBTERE\nJCMGMRERkYwYxERERDJiEBMREcmIQUxERCQjBjEREZGMGMREREQyYhATERHJiEFMREQkIwYxERGR\njBjEREREMmIQExERyYhBTEREJCMGMRERkYwYxERERDJiEBMREcmIQUxERCQjBjEREZGMGMREREQy\nYhATERHJiEFMREQkIwYxERGRjBjEREREMmIQExERyYhBTEREJCMGMRERkYwYxERERDJiEBMREcmI\nQUxERCQjBjEREZGMGMREREQyYhATERHJiEFMREQko/8HcoTpz5kBwIUAAAAASUVORK5CYII=\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "#style: 边的样式(默认为实线,可选: solid|dashed|dotted,dashdot)\n", "nx.draw(G, style = 'dashed')" ] }, { "cell_type": "code", "execution_count": 15, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAeIAAAFBCAYAAACrYazjAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\nAAALEgAACxIB0t1+/AAAIABJREFUeJzs3XdcVfX/B/DXdcFFAZmCJbhAUcFSQFtojhyoAVo5UHFr\nX03LXY4sx8+dZeLKFDOtnIkr96oENUeOXKWVCqiETBHu6/fHuRcvcIELAhfw/Xw87kPuuWd87gXv\n+3zW+6MiSQghhBDCJMqZugBCCCHEs0wCsRBCCGFCEoiFEEIIE5JALIQQQpiQBGIhhBDChCQQCyGE\nECYkgVgIIYQwIQnEQgghhAlJIBZCCCFMSAKxEEIIYUISiIUQQggTkkAshBBCmJAEYiGEEMKEJBAL\nIYQQJiSBWAghhDAhCcRCCCGECUkgFkIIIUxIArEQQghhQhKIhRBCCBOSQCyEEEKYkARiIYQQwoQk\nEAshhBAmJIFYCCGEMCEJxEIIIYQJSSAWQgghTEgCsRBCCGFCEoiFEEIIE5JALIQQQpiQBGIhhBDC\nhCQQCyGEECYkgVgIIYQwIQnEQgghhAlJIBZCCCFMSAKxEEIIYUISiIUQQggTkkAshBBCmJAEYiGE\nEMKEJBALIYQQJiSBWAghhDAhCcRCCCGECUkgFkIIIUxIArEQQghhQhKIhRBCCBOSQCyEEEKYkARi\nIYQQwoQkEAshhBAmJIFYCCGEMCEJxEIIIYQJSSAWQgghTEgCsRBCCGFCEoiFEEIIE5JALIQQQpiQ\nBGIhhBDChCQQCyGEECYkgVgIIYQwIQnEQgghhAlJIBZCCCFMSAKxEEIIYUISiIUQQggTkkAshBBC\nmJAEYiGEEMKEJBALIYQQJiSBWAghhDAhCcRCCCGECUkgFkIIIUyogqkLUJpER0cjbPVqXDl3Dglx\ncahibQ13Ly/07dcPDg4Opi6eEEKIUkhFkqYuREkXGRmJRbNmYceuXQgC4JOSAksA8QAi1GpsIeHf\noQNGTpwIHx8fE5dWCCFEaSKBOA/LQ0MxdcwYjE9ORl8SNgb2iQWwWqXCHLUa0+bNw+Bhw4q7mEII\nIUopCcS5WB4aitljxmBPUhLqGrH/NQDtLCwwXoKxEEIII0kgzkFkZCS6tGyJo0lJmAZgH4BkAE4A\nxgIYAOASgD4ArgNQAWgK4AMA/SwssP3wYXh7e5um8EIIIUoNCcQ5CA4KgvfWrRhF4iKA2gDMAVwB\n0ALATgB1ANwHUAsAASwGsBJAiEqF04GBWLtpk2kKL4QQotSQ6UsGREdHY8euXeirvUdpACUIA0rA\nVUGpBVtBCcIAkA7lw7wOoC+J8J07ERMTU6zlFkIIUfpIIDYgbPVqBAKZBmb9D0BlAB4AqgPoqPea\nDQALACMBfATAFkCgSoWw1auLpbxCCCFKLwnEBlw5dw6+KSmZtn0JIAHAMQBBAMz0XosFEAelabqx\ndptPcjKunD9f9IUVQghRqkkgNiAhLg6WBrarALwM4G8AoVleUwMYAmXw1j1AmWccG1uUxRRCCFEG\nSCA2oIq1NeJzeT0NSl9wVukAkgD8CyXZh6WNoVnHQgghxBMSiA1w9/JChLkyPCsGwHcAEgFoAOwB\nsAFAayhTms5otz+EMnXJFko/cqRaDXdPz2IvuxBCiNJFpi8ZEB0djXqurriRkoJ0AN0AnIMScF2h\nDMrqD2AjgMlQasBqAL4AZkEZzFXH3BxXbt2SHNRCCCFyJYE4B/rziPNrHoADLVpg56FDhV4uIYQQ\nZYs0Tedg5MSJmK1W41o+j7sGYI6ZGU6cP48PP/wQjx49KoriCSGEKCMkEOfAx8cH0+bNQzsLC6OD\nsS7X9PSFC3Hx4kVcuHABvr6+OHfuXFEWVQghRClW/uOPP/7Y1IUoqZr6+EBta4s+Bw+ifFoa6kPp\nC87qAYBQlQoDLSwwSbvgQ5UqVdC9e3eo1WoEBwdDo9HgpZdeQrlycu8jhBDiCekjNsLJkyexaNYs\nhO/ciUCVCj7JyRnrEUdq1yPu1LEjRk6caHChh5s3b6Jfv35ISUnBmjVr4ObmVuzvQQghRMkkgTgf\nYmJiELZ6NS6fPYsN69ahZ+/ecPf0RJ+QkDxHR2s0GixevBiffPIJPvnkEwwbNgwqlaqYSi6EEKKk\nkkBcACRRrlw5FOSju3z5Mvr27Qtra2usWrUKzz//fBGUUAghRGkhHZYFoKvJajSafB9bv359HD9+\nHH5+fmjSpAnWrl1boIAuhBCibJAacQFVqFABycnJqFixYoHP8dtvv6FPnz5wd3fH0qVLJfmHEEI8\ng6RGXEDly5dHenr6U53jxRdfxMmTJ1G3bl14eXlh27ZthVQ6IYQQpYXUiAvIwsICMTExqFy5cqGc\n79ixY+jbty9ee+01LFq0CNbW1oVyXiGEECWb1IgLqFy5cgXqI87Jq6++irNnz0KtVsPLywsHDhwo\ntHMLIYQouaRGXEDW1ta4efMmqlatWujn3r17NwYOHIigoCD83//9HywsLAr9GqJkiY6ORtjq1bhy\n7hwS4uJQxdoa7l5e6Nuvn4wdEKKMk0BcQLa2trh69Srs7OyK5PyxsbEYPnw4Tp48ibCwMDRr1qxI\nriNMKzIyEotmzcKOXbsQBMAnJSUjWUyENlmMf4cOGDlxInx8fExcWiFEUZBAXEAODg64cOECHB0d\ni/Q6GzduxPDhwzFw4EBMmTIFlSpVAiA1qLJgeWgopo4Zg/HJyehLwsbAPrEAVqtUmKNWY5o2faoQ\nomyRQFxATk5OOHPmDJycnIr8Wnfv3sWgQYPwzz//YNy4cdjxww9SgyrlloeGYvaYMdiTlIS6Ruyv\nW1BkvARjIcocCcQFVL16dURGRuK5554rluuRREifPtj2zTeYqlIhRGpQpVZkZCQ6t2gBv+RkRED5\nndUBMBNAewA3AdQCUAUAAagAjAfwDoDXLCyw/fBhgznNhRClUwVTF6C0Kox5xPmxYulSHNu8GScB\n1M3l3skGwPskOiclod2YMQAgwbiEWTRrFj5ITkYKgPkAagDYAeBtAL9r91EBiNP+q29ccjIWzZqF\ntZs2FVt5hRBFS2rEBVSzZk0cPHgQtWrVKvJrRUZGokvLlmiWlIQTAJIBOAEYC2BAln0/AfAxgH0A\nXCA1qJImOjoa9VxdcSMlJVuLRmMov7smUGrEjwGUz7LPAwB1zM1x5dYtGQsgRBkh84gLqHz58oU6\njzg3i2bNwvjkZMwE8CeA/wD8CGASgN/09rsBYCOA6trndfGkBiVKhrDVqxEIZAvCUQCuAGikfa4C\nUBPKzVR/APe1220BBKpUCFu9usjLKoQoHhKIC6hcuXLF0jQdHR2NHbt2oS+JBgDMtdt1fYfX9fb9\nH4A5APSzX/clEb5zJ2JiYoq8rCJvV86dg29KSqZtaQCCAfQD4AbAHkAklL7iU1AG4vXS298nORlX\nzp8vlvIKIYqeBOJ8io6Oxrw5cxAfFYXRgwdjcHAw5s2ZU2SBLmsN6n8AKgPwgFLz7ajd/gOUIN0+\ny/FSgypZEuLiYKn3nFCCsBmAL7TbKkNpni4HwAHAYgA/AUjUvm4JID42tljKK4QoejJYy0hZEy98\nnJICy8OHlWlDmzfDferUIpk2lLUG9SWUL+ZfAByC8gWeAOAjAPtzOIdPcjLOSA3KZO7du4fIyEjl\n8dtv8NN7bQCAewB2Int/sD4VAF1HSDwASxtDY+aFEKWR1IiNsDw0FF1atoT31q24kZKCr1JSMBRK\nc+FQAKuSk3EjJQVNt25Fl5YtsTw0tNCunbUGBShfyi8D+BvAEigDfPpAGX1riNSgis/Dhw9x6NAh\nzJ07F2+//TZq1aqFunXrYt68eUhKSsJLr7+OE+ZKB8NQAJeh9PdX0jtHBJT+YkLpGx4J4HUg4+8g\nUq2Gu6dncb0lIUQRkxpxHnSJF47mkXihqKYNVbG2RnwOr6VBGaB1GMA/UGrLABADZSrMeCgjq6UG\nVTRSUlJw5syZJ7XdyEj8/fffaNy4Mby9vdGlSxd8+umncHNzQ7lyyj1vdHQ06m3ciA8ALIfSnVBN\nez4VgGXafz+E8nu0AtAWwLfafR4A2EJidkhIsb1PIUTRkkCci8jISEwZPRp+yclog+yJF04AmAxl\nQE0FAC0BLAKwJykJr40ZgyY+Pk89bcjdywsRmzaha0oKDgDoBEANYC+ADdrHFChTXXS8AXyGJ/3F\nRwD8e+MGkpKSZAGJAkpLS8OFCxcyBd3Lly+jfv368PHxgZ+fH0aPHo2GDRuiQoWc/1s5OjrCv0MH\n7N+6FZpcZg52z2H7GpUKnTp2lKlLQpQhMo84F8FBQfDasgUpUEa06hIv9ICSeOEilAE07aAE4v8B\nuA1gF4CFKhVOBwY+deIF3bzTyJQUDARwDkpfoSuUJsv+Bo6pDWAlgFbQzjs1M0PLDh1w6dIlhIWF\nwdfX96nKVNZpNBpcu3YtU9A9e/YsatSoAR8fn4xH48aNoVar831+3bzwvFpZsroGmRcuRFkkgTgH\nxiReCMyy/TcoteI4FG7iheCgIHhv3YpRBfhV6d8QfP/99xgxYgQGDx6MyZMnZywg8Swjib///jtT\n0D116hSqVq2aKeg2bdoUVlZWhXbdguSablmuHBwaNcKvEREwMzMrtLIIIUxLAnEO5s2Zg4tTp2JV\nljmfUVCyHp0B4J7lmM8AfA/gZ+3z/mo1Gk6bhtFjxz5VWQqzBnXnzh0MHDgQd+7cQVhYGBo1apT7\nScqYmJiYTEE3MjISKpUqU9D19vYulqZf3epL45KTc8wd/gBK7vC5ajUmz56Ng4cPIy4uDlu2bEHl\nypWLvIxCiGJAYdCgXr0YCpB6j8cA2wAclmU7AZ4FaAvwuN62JQAH9+5dKOVZtmQJa1tY8KqBaxt6\nXAVYS63msiVLsp1Lo9FwxYoVtLe355w5c5iWllYoZSxp/vvvPx44cICzZ89mt27d6OrqSmtra7Zu\n3ZoTJkzgpk2beOvWLWo0GpOVMTIyksFBQaxqbs5+ajWXAFyr/dvpp1azqrk5g4OCGBkZSZJ8/Pgx\nQ0JC+PLLLzM2NtZk5RZCFB6pEeegZ+fO8A8Pz8hoRCh9wwkAtiHznM9rUJqk5wDoqbf9GwA7/P2x\nPjy8UMqUnxrUzPLlYevigrO//55jP+aff/6JkJAQaDQarFmzBrVr1871+iV5DeTk5ORsI5j/+ecf\nNG7cOFNtt27duhkjmEuSmJgY5bM9fx7xsbGwtLGBu6cn+oSEZPtsNRoN3n//fRw9ehR79uwx+Wcv\nhHg6EohzMDg4GE3WrcNQ7fP+AG5BSbyg37N6E0oQ/hDAoCznCAUwtlw5VK9TB25ubqhbty7c3Nwy\nHi4uLrmOsDXk5MmTWDRrFsJ37kSgSgWf5OSM9YgjtesRd+rYESPGj8eiRYuQlJSEjRs3onx5w+ki\nNBoNPvvsM8yaNQvTp0/H4MGDoVJlXvMnazITU6+B/Pjx42wjmP/444+MEcy6R14jmEszkpg8eTI2\nb96MvXv3FttynEKIwieBOAf6fcRDoYxW3gdAf/LPvwBaAHgXwAcGztFfrUa9yZPRJSAAV69exbVr\n13D16tWMn+/evQtXV9dsQbpu3bpwdXXNMXgCmWtQP27ZgtdatkQzP79MNajU1FR07NgR7u7u+PLL\nL7MFWH0XL15Enz594ODggJUrV2Z8setq4eOTk9HXBGsgazQaXL16NVPQPXfuHFxcXLKNYDY3N8/7\nhGXMnDlzsGzZMuzduzfPFg0hRMkkgTgHulHTR1JS0BhK4gVdWNQlXrgKYBqU3MDAk4UYHsK4UdMp\nKSm4ceOGwSAdFRWFmjVrGgzSLi4umYJ0q1at8OGHH6JNmzbZrvHw4UO0aNEC3bp1w0cffZTre378\n+DFmzpyJJUuW4LPPPsPD//7DnHyO7G1nYYHxBQzGJHHr1q1sI5htbW0zBd0mTZoU6gjm0i40NBQz\nZ87Enj170KBBA1MXRwiRTxKIc1FY04YKIjk5GTdu3MgUoHVBOiYmBjVr1swI0MeOHUOrVq0wdOhQ\n1KhRI1tN+s6dO3j55ZcxdepUhBiRkenkyZN46623EHXzJuqSuAKl73uV9vVLUFJqXody49EUSiIT\nD+Rvrmt0dHS2EczlypUzyQjm0m7t2rUYN24cduzYgSZNmpi6OEKIfJBAnIuSmnghOTkZ169fzwjS\na9euRVJSEh49eoR79+5l5DfW749WqVTo0aMHVq9ejQ4dOuR5jR5vvgnzH39EIIA9AJLxJBA/hJID\nuRaUVoDFUBKInNW+bugmJC4uDidPnsTJkyczgu7Dhw/h7e2dKeg+//zzuTahi5xt2bIFQ4YMwZYt\nW/DKK6+YujhCCCNJIM5DQRIvPE3zbEHMnTsXd+/exfz585GUlJQpSOs3e8fExCA9PR2vvPIKfHx8\nMjV7P//885nzIeslM5kMpT98lYFrp0Fpph8PZUQ5oDTL16pUCeOmTMGlS5cQGRmJf//9Fy+88EKm\n2m6dOnVK5Ajm0mzPnj0IDg7Gt99+i7Zt25q6OEIII5TNIaWFSBdMXzNi2tDXKhU+BdCzd+9iC8IA\n4OzsjDNnzgAALCws4OnpCU8Dq/MkJibiq6++wtSpU+Hr64vIyEisX78eV69exYMHD1C7dm24ubnh\nv9hYdE5PN/g+9dlASfGpAfCp3nZbAP6PH2PH9u0YMGgQxo0bhwYNGpTZEcwlSbt27bBlyxYEBQVh\n+fLlCAgIMHWRhBB5kG9GIwweNgxNfHywaNYsfJLHtKFFXbpgzJgxGDFyJDw8PIqlfE5OTrhz506e\n+1WuXBnvvfce1Go1Zs+ejePHj6NaNWXtn8TERFy/fh1Xr17FgunT8fLjx3mcTRktnQxgDQCXLK+9\nRsLS3R0DBgzI9/sRT+fVV1/Frl274O/vj8TERPTq1Svvg4QQJiOB2Eje3t5Yu2lTxrShM3qJFxp6\nemK23rQhjUaDgIAAREREwNrausjL5uTkhLt37xq9/6BBg/Dvv//C398fhw4dQpUqVVC5cmV4eXnB\ny8sLm1avhqW2hp0XNYAhABygrK1rr90uayCbVtOmTXHgwAG88cYbSEhIwJAhQ0xdJCFEDiQQ55OD\ng0OeuaP79euHU6dOITg4GNu2bSvyflBnZ+d8BWIAmDp1Km7fvo1u3bph+/btqFixYsZrua2BbEg6\ngCQo/ci6QCxrIJtegwYNcOTIEbRp0wYPHz7E2KfMeS6EKBoyUqaILFy4EHFxcfj444+L/Fo2NjZI\nSEhASpYFKnKjUqmwZMkSVKxYEQMHDoT+mD13Ly9EmJsjHUAKlECbBuCR9ud9UBa90EAZQf0BlH5h\n/Yb4SLUa7gb6qUXxql27No4cOYJVq1ZhypQpkLGZQpQ8Mmq6CEVFRcHHxweLFi1CYGDWRRMLV40a\nNXDs2DG4urrm67jExES0bt0arVq1wsyZMwE8GTU9JCUFc6DMFdaZCqABnoykVgPwBTALgG4dp8Jc\nAtJYJTkPdkkQHR2Ndu3aoUWLFliwYIGMVheiJCnWJSaeQREREbS3t+eFCxeK9Do+Pj789ddfC3Rs\nTEwM3d3d+cUXX2Rs6xUYyIUqlVErPWV9LFCpGBwUVFhvLVcRERHsFRjIqubm7G9uzlCA3wAM1Vu9\nqFdgICMiIoqlPCVZbGwsX3rpJfbv37/MrrglRGkkgbgYfP3113RzcyvSZes6d+7MLVu2FPj4Gzdu\nsHr16ty4cSNJJcA55WPZRf3lF50sLDKW7StKy5YsoZOFBReqVHyQQ3keaG8MnCwsDC4J+ayJj49n\n69at+fbbb/PRo0emLo4QgqS0T2lFR0dj3pw5GBwcjJ6dO2NwcDDmzZmDmJiYpz53SEgI3njjDQQH\nB0Oj0RRCabPL78jprGrVqoXw8HAMGzYMR48ehY+PD6bNm4d2Fha4ZuQ5dMlMps2bVyQZxfQtDw3F\n6BEjkJ6UhI9JvATgK73Xk6EsxuEO4BMSLklJmD1mDJaHhhZpuUq6KlWqIDw8HCkpKQgKCkJycrKp\niySEMPWdgKkVV9NmamoqX3vtNU6ePLmQSp7ZlClTOHXq1Kc+z969e+no6Mjff/+d5JNa5/xcap33\nAc4FaFehQrHUOnW19Z0Ak7Vl+AOgE8DT2ue9APbQlk2j3V6ctfWSLjU1lT179mTLli358OFDUxdH\niGfaMx2Ii7tp8+7du6xRowY3b95cSO/giSVLlnDw4MGFcq5169axRo0avHXrFkkyMjKS1SwtaVWp\nEvup1VwCcC3AJXo3K2/5+9PR0ZF79uwplDLkxlD/9WWAzgB/0P5sDTDexP3XJV1aWhoHDx5MX19f\n3r9/P9vrUVFRnDt7Ngf16sUenTpxUK9enDt7NqOjo01QWiHKrmc2EC9bsoS189EHehVg7UIIxkU1\neGvz5s3s0qVLoZ1v7ty5bNiwIWNjY3n+/Hk+//zzvHv3LufNmcPBvXuzR6dOHNy7N+fNmZPxxbx/\n/35Wr16dUVFRhVaOrKKioljV3DzjxuldgBYAVQCbAkwEGAbQE+D7AO0BegHcpFd7r2puLsFES6PR\ncPTo0fTy8uLdu3dJygA4IYrbMxmIdU2bb2qbM60B1gO4Uvtl/Zf2i90SYBXtv9MLsWmzKAZv/fLL\nL/T19S2082k0Go4cOZJ+fn4cN24cx4wZY9RxEyZMoL+/PzUaTaGVRd/c2bPZz9w8002SBuBxgDMA\nPgY4U/v7+0T7/LD293hZu38/tZrz5swpkvKVRhqNhtOmTaObmxtnTZ8uA+BMTFoinj3PZCDWNW1e\nyKGP8S+A5bRf8EXVtDl8+HD6+/szPT29EN4R+eeff7JGjRqFci6d9PR0vv3226xcubLRtZ/U1FT6\n+Phw0aJFhVoWnUG9ejE0hwAxFODnABcCNMvy++usfY3aJvXBvXsXSflKs7e6dqWzSlXsrURCIS0R\nz65nLhBnbdo01MeoqxGnGfjyKaymzdTUVPr5+XHSpEmF8p5mzpjByipVod9BHzlyhGq1msOHDze6\nlnvt2jXa29vz7NmzT339rHp06sRvcggMAwGOArhfG4jT9V7roheI1wLs0alToZetNIuIiKBlxYr0\n1H52/fQ+u3V6LUOWeNIVIAPgCo9MxXu2PXOBOGvTpqE+Rl2N+HmANbRfSvf0/kMUVtNmVFQUa9So\nwU2bNhXo+OK4gx45ciTHjx9PT09P/t///Z/Rx4WFhdHDw4OJiYkFvrYhuhpxNMANABO0AXe3NliE\nQ2mOdoPSnZAG8BhAK22rh9SIDesVGMj+ALdp/0/oB+Ksj9UA6+o9lwFwT8dU41VEyfHMBWJDTZv6\nfYxp2i/3U9ov+GiA3QC209u/ML/ICzp4qzjuoNPS0ujs7MxLly7xn3/+oaurK8PCwow+vlevXhw6\ndGi+r5sb3Y1UDMAWAG2g9PF7AfxK771fBPiSNjg31AaYwr6RKiuythJNyiMQvw6l/72wW4meRRER\nEaymVvMtgK7aG8YXAe4y8LlP01YY9kNaIsqaZy4Q59a0ORTgFwa239X+B0jAk6bNtzt2LLQy5Xfw\nVnHdQR84cIAvvPBCxvOLFy/S0dGRu3fvNur4uLg41q5du1Cna+XUtWDsQ4JGdllbiXILxH8BrKD9\nV3+73NwUTK/AQM7WBtlb2s8yHEoXwE29z/c6lJkAz2kDsbRElC3PXGat3Jb4SwNwPYfXVFBWGwKU\nJf7Cd+1CtWrV4Ovri27dumH06NFYtGgRtmzZgtOnT+PevXsgaVSZQkJC0K5dO6Myb0VGRmLqmDHY\nnpSE/wNQE4A1gCYAdmv3uQTAB8qKSHZQMkx9mZSEqWPG4OTJk0aVCQDWr1+PHj16ZDz38PDA5s2b\nERwcjFOnTuV5vJWVFdatW4ehQ4fin3/+Mfq6uXF0dIR/hw5YrVLlvbMBa1QqdOrYURaC0HPl3Dn4\nGrlyVxiA1wC4Ztnuk5yMK+fPF3bRyrTo6Gjs2LULgwBMAVBDu90fQC0A+v/D/gdgDoCKetv6kgjf\nubNQsv8J03rmArFuib8YAN8BSIQSYPcA2ACgNYAIAFcAEMB9ACMBvA5lsXsAOFa+PCpZWiI1NRXl\ny5eHSqXCf//9h/Pnz2P16tXo378/3N3dUaVKFXh4eKBdu3YYPHgwpk+fjrVr1+Lw4cP4888/8fjx\n44xyLViwAPHx8Zg6dWqu5V80axbGJyejJgAXAEcBxAH4FMDbAG4BqA7geyirIN0D0BnAeADjkpOx\naNYsoz6n1NRUbN68Gd27d8+0/ZVXXsHy5cvRpUsX3LhxI8/zNG/eHO+99x569+6N9PR0o66dlw5d\nu2IaaXTqTZ1rAOao1Rg5cWKhlKOsSIiLy/jbzstaACEGtlsCiI+NLbQyPQvCVq9GIICsq3ZHQfn+\naah9/gMAcwDts+xnCyBQpULY6tVFWUxRDCqYugDFrU9ICOpNnYoPAYQCGAYlELsCWASgE5SA/CGA\nGABWANoC+FZ7/AMAOytWxJVr15CWloaIiAhERETgxIkTiIyMhL29PZo1a4Z+/fqhYcOGsLW1RVRU\nFG7evIlbt25h9+7duHXrFm7duoU7d+7A0dERrq6ucHFxgZeXFxYvXoz09HT06NEDLi4usLa2zii7\n7g76CxIWUO6idfTvogOh1JIBZf3gclBq+n1JfKK9g86rRvjTTz+hfv36cHFxyfZaYGAg7t69i/bt\n2+P48eN5nmvChAnYt28fZs+ejQ8//DDXffMSERGBDz74AO8MHIh2336LPUlJqGvEccWZB7u0ya2V\nSN9xAHcAdDXwWjwAS5usIUXkxlBLRBqAYAD9oORJjwfwEYD9OZzDJzkZZ6QlotR75gKxrmkzfOtW\nHMqh6bi79mFI1qbNN998E2+++SYAQKPR4I8//sCJEycQERGBsLAwXL58GR4eHmjWrBl8fX3Rp08f\nuLu7o1y5ckhLS8Pt27czgvStW7fQqlUrzJs3D99//z3u3r2L8uXLZwTq2Pv30SktLdsdNKDcRV/F\nk7toQLnT1tX4P0XmO+jRY8fm+jllbZbOatiwYfj333/h7++PgwcPonLlyjnuW758eaxduxZNmzZF\n69at0axE/SFoAAAgAElEQVRZs1yvnZOjR4+ia9euWLVqFTp16oTlTZrgtTFjMC45GSGkwc/lAYDV\nKhXmqtWYNm8eBg8bVqBrl2XuXl6I2LQJg1JS8BjKzVsagEdQviDKa/dbAyUIG/pNR6rVaOjpWSzl\nLSuytkQQShA2A/CFdts0AH3wpNk6K2mJKCNM3EdtEsW5xF9SUhKPHz/OBQsWsHv37qxVqxatra3Z\npk0bfvTRR9y2bVtGakGd1atX083NjQ8ePOCDBw/422+/cdu2bfTz9jaYzOIxwDYAhxl4LQnKdKYd\nMH7Ed2JiIq2trfNMVanRaNivXz927NiRqampeX4WmzdvZu3atRkXF5f3B5fF3r17aW9vz71792ba\nHhkZyeCgIFY1N8+WBzvE3JxVzc0ZHBQko0tzoRsAN147KLGc3mOa9u8mBcoI9YMyAO6pJSUl8Zdf\nfqGfj0+m/8/9ALYG+Ehv2wsAHaAkG3ICWB6gHcA5+fj/LEq+ZzIQk6aduxcdHc3w8HBOnjyZ7dq1\no42NDV1cXPjWW29x3rx5PHLkCIcOHcqOHTtmWsDd0IhvDcB3APrDcAIS3T52AGNgXDKLDRs28I03\n3jDqvaSmprJDhw7s37+/UQk/hgwZwuDgYKPOrbN9+3Y6ODjwyJEjOe4THR2dKQ92LScnDujXT4KD\nkQwtpGHsQ0bv5iwxMZE///wzv/jiC4aEhNDT05NqtZovvvgim/n4sHfFiiTAIVCm2yVm+WwfAIzS\ne9SAkjddt5+MVi8bntlATD6Zi7sgjyX+5hdxNhuNRsMrV65w7dq1HDFiBH19fWlhYcHKlSvzxRdf\n5MqVK3n+/HkO7NkzW43Y0F20oRqzGuAZI++gAwICuGrVKqPLn5CQQB8fH6OyhCUmJtLDw4Nr1641\n6tw//PADHR0deeLECaPLQ5Jjx47l9OnT83XMsywiIoIOZmbF0kpUVuUUdJs0acJBgwZx6dKljIyM\nZEpKCsknLRHntC0Raijz3nVZzL418HnXwpPpS9ISUXY804GYzL1pU5edyhRNmykpKdy1axerVq1K\nPz8/urm50bxSJfbUq7XkdBe9F+BvUBKSxAEcAWX+4SOA3QG+1KwZ9+zZY7A5OTY2llZWVvlekCIq\nKop169ZlaGhonvueOXOG9vb2vHbtWq77hYWF0dnZmWfOnMlXWUjy22+/Zbdu3fJ93LNq27ZttK5S\nhTXNzfPVSuQE0LVGjYzg8qxITEzk8ePH+fnnn7Nv375s1KhRtqB78uTJPD+XXoGBXCAtEc+8Zz4Q\n62Rt2sy6xJ+pREZGZmTeunz5Mq0qVuQDKJP9c7qL/gFgfe1zR4CdAJ7X3kFbm5lx8uTJbNasGW1t\nbdmnTx9u27aNSUlJJMlVq1YxICCgQGW9du0anZ2duWXLljz3/eyzz+jr65tj3/KyZcv43HPP8eLF\niwUqy8WLF1mnTp0CHfus+fHHH+no6MjIyMh8txJNmTSJFhYWdHNzK/R0piWFLuguWrSIffr0YcOG\nDalWq9m0aVMOHjyYy5YtMyroGvLzzz/Ttnx5aYl4xkkgLgV0g7diY2Ofqi9vLsBWzZtnnPfvv//m\n559/zpYtW9La2ppvv/02PT09uXr16gKXNTIykg4ODjx27Fim7VmXdhvYqxc96tXjyJEjs53js88+\no6urK69evVrgcqSlpbFy5cr877//CnyOZ4F+ENbJbyvRX3/9RWtraz733HM5tqSUlqX9EhISeOzY\nsWxB19vbm0OGDOHy5ct56tQpPnr06KmvFRsby1atWrGxpydrq9WSa/oZJoG4lBgxYgQ7duzIX375\npcAjvm3Kl6ednR39/f15586dTOePiori/PnzWaFCBVpaWrJz5878+uuvef/+/XyXdffu3XR0dOTF\nixdzXZgixNycaoBvvPpqxsIUM2bMYN26dXnz5s2n/syaN2/Ow4cPP/V5yipDQVhfflqJYmJiWK1a\nNdrZ2WX62yrJS/vFx8fz6NGj/Oyzz9i7d282aNCgyIJuVjdu3KCHhwdHjhzJtLS0EjNeRZiGBOJS\nIjU1lS1atOBHH31UoBHfrmZmDOjShZ06dWLlypVZrlw5vvjii/z000/5008/MTY2ll988QV79erF\n2NhYfvPNNwwMDKSlpSXbtGnD0NDQbME7N2vWrKG9rS2rqdV5LkwxF2A1tZr+7duzQYMGvH37dqF8\nZsOGDcvXusilpdZWGHRBuDADYHx8PGvXrk1LS0teu3atRC3tl1PQ9fHx4dChQ7lixQqePn26SIJu\nVj///DOdnZ25ePHiTNtL6ngVUfQkEJciUVFRdHFx4aZNm57qDlqj0TA8PJyurq6sWbMmfX19WaVK\nFarVarZq1YqLFy9mZGQkHz16xISEBG7cuJE9e/Zk1apV+corr3DBggX8888/cy3rsiVLWKNixXzd\nLFRXqQp1KsayZcsYEhKS534ludZWFIoiCOs8evSIjRs3ZqUKFfI98Kuwmlvj4+N55MgRLly4kMHB\nwfTw8KCFhYVJgm5W3333HR0cHLhjx44c9ymp41VE0ZFAXMroBm/9/vvvT30HnZqayhkzZtDOzo5T\np06ltbU1lyxZwoEDB9LT05MWFhZs3rw5R44cyXXr1vHChQsMDw9n//79aW9vz6ZNm3LGjBm8fPly\npvPqEqZMBeiN7AvNE+A+KAPKKgNsBWXwWWEPQImIiGDjxo1z3ccUtTZT1ry3b99eZEFY59dff6Va\npaKngd/9rwDbArSFMpDwbYB39IJxfn//OQVdX19fDhs2jCtXruRvv/1mVMKZoqTRaDhjxgy6uLgU\naBaAKNtUJGnq7F4if8LCwvDpp58iIiICNjY2iImJQdjq1bhy/jziY2NhaWMDd09P9AkJMWqVocuX\nL6N9+/ZISUnBoUOHUL9+fQBAQkICTp06lZGy88SJE0hOToavry+8vb1hYWGBa9euYdeuXahatSq6\ndu2KoKAgzJs2Dd7btqEmiXJQFtRIBrBKe737AOpon3cCMAnK4hW/AFigUuG3wECs3bTpqT+nlJQU\n2NraIjY2FmZmZtleXx4aitljxuQ7X/X4AqbKjIyMxKJZs7Bj1y4EAfBJSVFSFAKIUKuxhYR/hw4Y\nOXEifHx88n3+vISHh2PAgAEIDw8vkvPrBAcFodKWLQhA9t/9bihpV9tBSZ/5PwC3AezSvr5QpcLp\nHH7/8fHx+O2333Dq1KmMx61bt9CoUSM0bdoUTZs2hbe3Nxo0aICKFStmO95UUlNTMXToUJw9exbb\nt29H9erVTV0kUdKY+k5AFMyIESPYoUOHTJm3nsYLL7zAESNG0M7OjjNmzMixBvHvv/9yy5YtnDBh\nAlu1akUrKyvWqVOHbdu2ZatWrVitWjWqtbVIXS0o6/q2ywG+ovc8Eco0rD+0zelVzcwKrXbYqFEj\nnj59Ott2Xa39TShzYa0B1gO4Uq9cKwDWhTINrAPA209Razd1f6kuO1l+E6PkV9b1onNb25gATwO0\nytKdUtXcnDdu3ODhw4e5YMEC9uzZk/Xq1aOFhQWbNWvGd999l1999RXPnDlj8ppuXh48eMDXX3+d\nb775JhMSEkxdHFFCSSAupfQHbz2tS5cu0dnZmWlpafzrr7/Yvn17Nm7cmKdOncrz2LS0NF64cIGr\nVq3ikCFD+JyzM7tn+bLN+mU8EuC7WfbxBLhZ+3Ov8uULra84ODiYX331VbbtumlgFwAma697WRuU\nT0PJqewI8BKUzGTDALbQ7pffRAqmTKdKFl8QJsm5s2ezn7l5jr/7rI+FUJLS6G/rrlKxUoUKmYLu\n2bNnS3zQzer69eusX78+P/jgg0K7YRZlkwTiUkx/8NbTmDJlCkeNGpXxXKPRMCwsjI6Ojhw/fnxG\nsg9jDOrVK1sazqxfxgMATsyyzysA12h/XgKw4+uvP9V70pk/fz6HDx+eaVvWWpvucRlgdSgJUcYA\n/J/ea7ehJFC5gfylFjSmv1z3mKa9xv6nqHlnpesTLo4gTGb//ecWiM9C6Ss+nmX7EoADe/UqlvIW\nlePHj9PJyYlLZJqRMMIztwxiWeLo6IhNmzahQ4cOqFevHho2bJj3QVmQxPr16/HNN99kbFOpVOjd\nuzfeeOMNvPfee2jcuDFWrlwJPz+/PM9nzCLzVQA8zLItDsg4zhLA0YMH0ahRI9ja2sLS0hKWlpaw\nsrIy+HNOz83MzPDiiy9i8+bNma6VdUH2/wFYDaUvswmAjgBOZCmfRvvv7wA6w/jlJBfNmoXxycmo\nqT23rs80qxsANgLQ9R7WBTAuORmLZs0qcH+5rk94+/bt8PX1LdA58suY3z+g9Ld3hLLc38tZXrME\nkBgXV9hFKzYbNmzAe++9h7CwMLRv397UxRGlgATiUs7b2xvz589HQEBAxuCt/Pjtt9+Qnp5ucPBO\ntWrV8N1332Hr1q3o2bMnOnfujNmzZ8PKyirH8xmzyHxDKGvb6iQCuI4naynHA6hTrx4qVa6MadOm\nISEhAfHx8RmPhw8f4u+//8703NDPGo0GVapUQVxcHDw9PTOC9M3LlzFKb0H2LwEshjJY7BCU9WDb\nA+gJYCiUgWWfACgHIEl7jDELskdHR2PHrl34gk/WSo4E8K+Bff8HYA4A/SFgfUl8snMnYmJijBp0\npy88PBz9+/dHeHh4sQVhwLjf/00AbQFMhfIZZxUPwDKff8clAUnMmDEDK1aswP79++Ep6zMLI0kg\nLgP69OmDU6dOoVevXti+fTvKly+f90Fa69evR/fu3aFSqXLcJyAgAC1btsS4cePQqFEjhIaGwt/f\n3+C+7l5eOLFpE4ampCAdMLjQfCCAcQC2QKkVTQPwAgB37Tki1Gr07NcP27Zvx6lTpzBmzBij34++\nR48eIT4+Ho0bN8bMmTNha2uLhw8fYvakSbC8dSvTviooNbO1AEIBDAfwMYAgKIFhFJSa2vPa/S0B\n/LRzJwIDA3OslR/cvx9dNBrkFVJ+AGAOJfjrs4XxNW99O3bsMEkQBpTff8SmTRiUkmLwdx8FoDWA\nEQAG5XCOSLUaDUtZEEtNTcXgwYNx4cIF/Prrr3B2djZ1kUQpUs7UBRCFY968eUhKSsKUKVOMPkaj\n0WDDhg3o0aNHnvtWrVoVy5cvx+rVq/Hee++hV69eiImJybTPvXv3cO/BA3yXkoJYANMBWACYDWCd\n9ucZAOwBbALwIZRgcxLABu05HgD4LiUFaRoNli1bhjlz5uDUqVNGvyd9ZmZmsLe3h6+vL5KTk/HK\nK6+gQ4cOcPfwyLHWlgaldg4otdMrAO5ACchpABppX4sH4PnCC+jduzdat26N+vXrw9LSEvHx8bh8\n+TIOHDiAXw8dwkupqbmWMQHARwA+z+F1n+RkXMmj5q3PlEEYAPqEhGALlPdk6He/EsCfUG5yrKDc\n0Oi3rzwAsIVEn5CQ4iv0U3rw4AHeeOMNPHz4EIcOHZIgLPLPxH3UohDpBm9t3LjRqP2PHDnCRo0a\n5fs6iYmJHD16NKtVq8Zvv/2WFy9e5JAhQ1i1alUOGDCAnVu3LvDCFPNVKrb382O3bt1oY2PDDh06\n0NXVlfHx8fkup860adM4YcKEjOe6kb3RADcATICyZORuKKtYhQNMAfi7tkw3AbbUDjzSldOYBdl7\ndOrEb/IYuDYa4Kd6z2viyXqzhJKgpUenTka9z/Dw8GIdmJWTp1mYpLQt7Xf16lW6u7tzzJgxTE9P\nN3VxRCklgbiMOXnyZEbmrbwMGzaMM2bMKNB1NBoNv/zyS1paWrJSpUp8//33effuXZJPRgo/7dJu\nN2/e5IQJE2hmZsbnn3+eu3fvLtCX3Y8//sj27dtnPNeNmr4KZUqSDZR5xF4Av9KW5T/t8yoAnQF+\nBFCDzHNd8xo1bcwI8hcAOkCZNuUEsDxAO4Bz9EYQD+7dO8/3GB4eXmxTlPJSWL//ku7o0aOsVq0a\nly5dauqiiFJOAnEZtGbNGtatW5cPHjzI2JY1reKAHj1YxcIi36kOHz16xDVr1rBx48b08PBgaGgo\nJ02aRHt7e4aGhmYEyoLMnXUGOMXAvOjo6Gg6OjrSxcWF9erV4+LFi/nw4UOjy3zr1i1Wq1Yt07bi\nqLXpz6lNgzJfeSLA3toadxqUJB5Reo8aADdBSXJibM1bF4R//fVXoz+TojZyxAg6a3+vxv7+S9PS\nfuvWraODgwN3795t6qKIMkACcRn13nvvsUOHDvzll19yXNCgh0pl9IIG9+7d44wZM1i9enW2bduW\nu3btylQ7/f3339msWTP6+fnxypUrJJnvhSkGDRhAZ2dnXrx4Mdv1dTX9DRs2sGvXrrSxseHIkSON\nWrNYo9HQzs4u06pOxVFr05+v/DGUOcLl9B7TDJy/Fp40TRtT896xY0eJC8K///47HRwcOOaDD+hg\nZsa5QJlZ2k+j0XDatGl0dXXl+fPnTV0cUUZIIC6jUlNTWc/NjXYVKjxVWsU//viDw4YNo42NDfv1\n68dz587leM20tDQuXLiQdnZ2nD17Nh8/fpzrwhR9KlXKtjBFWFgYn3vuOYMBdu7cuXz55Zf5+PFj\n3rx5k+PHj6e9vT39/f25Z88eajSaHMvWpk2bbCveFEfGq6KseZfEIHz37l3WrFmTa9euJUk2adKE\nft7eZWJpv5SUFPbu3Zs+Pj75WhJUiLxIIC6jli1ZwlpqdYGCjEaj4cGDB9m5c2c6ODhw8uTJ+fri\nuXHjBtu0acMmTZpkrDSTdWk3n0aN+EbbtgZre8uXL6eLi0u2pRbT09PZtm1bTp06NWNbYmIiV6xY\nQS8vL9avXz/HZuuxY8ca7A8v6gXZi6rmXRKDcFJSEps3b87JkyeTVFZhcnFxYWpqaqlf2u/evXv0\n8/NjUFAQExMTTV0cUcZIIC6DcvvyXw/QA8ryg3UBHsvy5e9QqRLr1avH+vXrc9myZflKb6lPo9Fw\n1apVdHBw4Icffsjk5ORMr2/YsIGBgYE5Hv/FF1+wdu3a/PvvvzNtv337Np2cnHjkyJFs1zt06BCD\ngoJoa2vLUaNG8dq1axmvr1u3jt26dTN4Lf1ae3eVKlOtrTuURSieptZW2DVvXRD+5ZdfClSeopCe\nns533nmH3bt3z2iZCAwM5KJFi0xcsqd35coVurm5cezYsTIyWhQJCcRlUE7NoT9BmR4ToX1+W/vQ\n32cewDYvv1xoXzi3b99mUFAQ69Wrx2PHjmVsv3TpEmvXrp3rsfPmzaObm1umvl1SGZzk4uKSaTCa\nvr/++iuj2bpTp0786aefeOHCBdapUyfX6924cYOVKlTgQO2AtsG9e7NhgwaFki+4sGreJTEIk+Sk\nSZP40ksvZdxwXb58mQ4ODqV+xaEjR46wWrVqXL58uamLIsowCcRlTE4LGhDgywBX5VEby8+CBvmx\nceNGOjs7c/jw4Xz48CHT0tJoYWHBuLi4XI+bPn06GzRokK08I0aMYLdu3XLtF9Y1W3t6etLDw4OV\nKlXiP//8k+P+P//8M729vTNtW7FiBd955x0j3mHecusv71W+fJ79pTt37iyRQXjNmjWsVasWo6Ki\nMrYNGDAgUxdCSZF19sCgXr04d/Zsg3/va9eupYODA3/66ScTlFQ8SyQQlzFZl6HTPdIBVgL4f9om\n6RoAh0OZRpN1X2OmzBTE/fv32a9fP7q6unLXrl309fXl0aNH8zxu0qRJbNy4Me/fv5+xLTk5mV5e\nXly5cmWex+v6vG1sbGhlZcX3338/U7O1ztKlS9m/f/9M227fvs2qVavy0aNHRrxD42TtL+3m70+n\natVyvfkpqUH48OHDtLOz45gPPsgIbr2Cgmhhbs5Lly6ZungZIiIicpw9oBs0pps9oNFoOHXqVNas\nWdOo+fhCPC0JxGWMoSQSumZoFUAfKPNV70NZenCSgX2NTSJRUHv27GHNmjXp5ubG2bNn57m/RqPh\nmDFj6O3tzf/++y9j+4ULF2hvb8/Lly8bdd2hQ4dy6tSpHDduHO3s7Ni5c2fu3bs3o1Y9bNgwg32a\nvr6+3Ldvn5HvLv8ePXpEtVqd4yCgkhqEN27cSBszM1pVrJgtuOlq+MZMjStqum4BY2cPNPf1ZbNm\nzTIS1AhR1CQQlzGG0ioSYKw2EK/V27YJYBMD++YnrWJBxcfHs2XLllSr1fz+++9zbWImlWA8fPhw\nvvTSS5lGRYeGhvLFF19kSkpKntdctmwZQ0JCSCrN1suXL2ejRo3o4eHBJUuWsHnz5jx48GC24z79\n9FOOHDkyf28wn5o0aWIw0JbUILxg7lxaq1S59nnnNTWuOBRkoNxz5cvzizIwyEyUHhKIy5icasTU\nNkfrB+LNOQTiJQD7de9e5GU9evQoGzRoQA8PD7755pv8999/c90/PT2dgwYNYosWLTJqjxqNhgEB\nARw9enSe14uIiGDjxo0zbdM1WwcGBlKlUvHdd9/l9evXM+1z9uxZ1qpVK8+bhacxcOBAfvnll5m2\n7dq1q0QG4S+/+ILVy5Ur8VmzdLMHpgL0BmiGzOlFCTAJ4DCA9gCrQkl5WtpSbYrSTwJxGfL333+z\nTevW7J7DF+IUgL4Ao7W1ldcATjWw3ztQMj/VqVOHEyZMMNifWhji4uJoYWHBxMRETp48mfb29lyx\nYkWuAS89PZ29e/dm27ZtM0bo3rt3LyMXdW6SkpKoVqsN9vfeuHGDTk5OHDt2LO3s7NilS5eMZmuN\nRkMXF5ci7S9csmQJBwwYkPG8pAbhEydO0KZcOb4F0BWgFcAXAe7S+/v5DsoUOSuADQFuNVFw080e\n2AJwG8B3DQTiXgB7QOmq0QA8rd1e2hafEKWbBOJSLj09nXv27GFAQEBG9ivrSpUMNhc+1n4ZVYWS\n13kUwEdZ9tGNml6/fj39/f1ZuXJlli9fnnZ2duzVqxcPHDjA1NTUQit/7dq1Mwb1nD17lt7e3mzV\nqlWuwf/x48d855136O/vnxFUDxw4QGdn50wjdw1p2LAhT58+nW371q1b2bFjR5JkQkICly1bxkaN\nGrFBgwYMDQ3lkCFDOHPmzIK+zTz9+uuvfPHFF0mW3CBMkj4NGnAmlPSct7R/M+EALaGsUvUvlEGB\ne7Sv7QBoATCmmIObodkDWRfcuAxlsY94A/9Ximr2gBCGSCAupe7fv8958+axbt269PLy4tKlSzP6\nTgszraJGo2FERAT79etHe3t7VqxYkWZmZmzZsiVXr17NmJiYp3ofgYGB3LBhQ8bzx48fc968ebSz\ns+O8efOYlpZm8LjU1FQGBAQwMDAw48Zg4sSJ7NChQ6416uDgYH711VfZtn/yySeZlkoklfd+4MAB\nBgQE0MrKis7Ozrxx40ZB3maedLX1H3/8kQ4ODvz555+L5DpPY+XKlVTDcN5oLyhdHScAVsvymgPA\nX4s5uBmaPZA1EIdpy/0+lKZpLyjjJop69oAQWUkgLkL5mbNoDI1GwxMnTrBv3760trZmcHAwjx8/\nni3wFOWCBpcuXeLEiRNZs2ZNVqpUiRUrVmT9+vU5bdo0njt3Lt/9qB9//DEnTpyYbfvVq1fZsmVL\n+vj45JjfOiUlhR07dmT37t2ZlpbG1NRUNmvWjJ999lmO15s/fz6HDx+ebXvXrl25fv36HI+7dOkS\nK1WqRFtbW3bp0oX79u0r9D5jV1dX2tjYlMggfOLECVaxsGBfM7Nsfzd3AZoDvAJlmlxLgNu1P2+B\nMjYhqZiDmzFLUM6EMoDxE21r0WEoy15expOxEkU5e0AIHQnERSA/cxaNkZiYyJUrV7JJkyasVasW\nZxsRzPuHhNBZpSrSATU3b97k/Pnz6eXlxUqVKrFy5cq0s7PjgAEDuGPHDqPSY27dupUdOnQw+JpG\no+Hy5ctpb2/PKVOmGBwZnZyczDZt2rBv375MT0/n9evXaW9vn5HjOqsDBw7w1Vdfzbbdzc2NFy5c\nyLWs3bp1Y2hoKJctW8aGDRuyYcOGXLp0aaFkj9q1axfNzc2z1cpLgr/++ovVq1dnhxYtsgW3xwDb\nQBnwpNv2lTagVYCSSnWn3muFGdx0i38cOXKEa9eu5fTp0zlw4EC2bduWTpUrZ5s9kDUQL4QygEuj\nt60zwM+1PxfH7AEhSAnEhS6/cxZzC3yXLl3iyJEjaWtry06dOnHnzp1GpZ48deqUErwmTSrSBQ30\nRUdHc8WKFWzRogXNzMxoY2NDMzMzvvHGG1y6dGm2nNE6f/75J6tXr57ruf/55x926dKFDRo0MNhv\nmpCQQD8/Pw4ePJgajYZr165l/fr1Dc7LvX//Pi0tLTN9jgkJCVSr1Xz8+HGu5VizZk1GfmyNRsP9\n+/fzzTffpJ2dHUePHl3gZmtdn/DIkSM5bNiwAp2jqMTFxbFRo0ZcuHBhtqlxGigD+/yhrK1MgHsB\n2uHJoKdIKOMRzhYguCUnJ/OPP/7gTz/9xBUrVnDSpEns3bs3/fz86OrqykqVKvG5557jyy+/zB49\nenDChAkMDQ3lzp07+VanTnnWiPdrA3G63rYueoF4CcBBwcFF/AkLIYG4UBVGcv/U1FT+8MMPfP31\n11mtWjVOnDgx2ypEuYmJiaGrqyu///57kpnTKgZXqFAsy9DFxcVxw4YNDAgIoIWFBR0dHWlhYcEG\nDRrwo48+4i+//JLR96vRaGhtbZ1nX7NGo+F3331HJycnjho1Klst9OHDh2zevDnfe+89ajQaBgcH\nc/DgwQbP5erqmrFmMqkMlGrSpEme7ysmJoZWVlbZFrC4ceMGx4wZQzs7O7755pvcv3+/0c3Wu3fv\npoODA48fP87Dhw+zefPmRh1X1FJSUnj69Gk2btyYTZs2Zbdu3ehkbZ0puPUD2BqZB/zNAxiU5e88\nAOB8AzXiuLg4njt3jtu3b+fixYs5duxYvv3222zWrBmdnJxYqVIl1q5dm6+//jpDQkI4depUrlq1\nivv37+e1a9dyzXam30ecBjAZ4ESAvaFkk0vT1ubdAE7XPj8GZaT3H9qydlepaGtjw1GjRvHw4cM5\njjxVo0EAACAASURBVFcQ4mlJIC4k+v2ywQCdoIzIrAdwpd6X0j6A9bVNdq2g9Es5WVgwPDycU6ZM\nYfXq1fnaa69x/fr1+U6r+PjxY7Zq1cpg82Z0dDRfeekl+nl7F9kydIb6xGfOmMFvvvmGISEhtLa2\nZrVq1ejo6EgbGxv26dOH33//PV966SWjM1fdu3ePvXv3Zq1atbh3795Mr8XGxrJp06YcO3Ys//vv\nP9auXZubNm3Kdo6AgAB+9913Gc+XL1+ekegjL6+++ip37txp8LWEhAQuXbqUDRo0YMOGDbls2bJc\nm631gzD5ZDpXXjXzwpSYmMhTp07xm2++4YcffsiAgAC6u7vT3NycNjY2dHR05EcffcT169fzg1Gj\nGKINbkMAvgQwMUvQPQzQEeAZ7fPTUAZC7dU+71muHKs7O7Nq1aq0sLCgh4cH27dvz6FDh3LWrFn8\n9ttvefz4cf7zzz9PFfj0R01/DKUvuJzeY5q2PBe076MKlKlW2/Raiqqam/PgwYOcNm0aX3jhBTo4\nOHDAgAEMDw/PdjMmxNOQQFxI9EcqX9DegVN7d+2k/UK6pw3Om7S1iLEAm2trEdYVK/Ldd9/l+fPn\nC1yGDz74gO3atcvxC+ytt97KNEK5sBjbJ/7zzz/z4MGDHDFiBJ2dnVmtWjXWrl2bFSpUYJ06dTh/\n/nz+8ccfRl1z586ddHFxYf/+/TOtwnTv3j16eXlxypQp/PXXX+no6Mhbt25lOnbatGmZBogNHz6c\nCxcuNOq6c+bMybP5WKPRcN++fRnN1mPGjMnWqpE1COu4ubkVyXzlhw8f8sSJE/z66685duxY+vv7\ns1atWjQ3N6enpyffeecdTps2jT/88AMvXLjA+fPns0GDBplSiuqC2zltYFNrA1gVKNOXvtX+zX8J\nJZ+5FcA6UPpidcHNqmJF7t27lzExMUWaIIUs3NkDpNLysWDBAvr5+dHa2ppvvfUWv/3220yfkRAF\nIYG4EOS24tFlKH1kPwBcDiW/s+61RO2X2Qkoa94+Te103bp1rFOnTqaFEbJq0aIFDxw4UOBrGFLQ\nPnHdtKgJEybQ0dGRZmZmbNiwIe3s7Fi3bl2OGjWK+/bty7VV4OHDh/zf//7H6tWrZ6r5RkVF0cPD\ngzNmzODMmTPZokWLTDcn27ZtY/v27TOev/baa9y/f79R7/fSpUt8/vnnjQ4i169f5+jRo2lra8uA\ngAAeOHAgo084axAmyXfeeYdhYWFGnduQBw8e8Pjx41yxYgXff/99tmvXjjVq1KCFhQWbNGnC4OBg\nzpw5k1u3buWVK1cM1r63b99OJycnHjx4kPv27eNXX33FKVOmsG/fvnSxt+e8AgS2nIJbUSrK2QNR\nUVFcuXIl/f39aWlpyXbt2nHp0qW8c+dOsb0/UXZIIC4EhuYsvgslkYEKYFNt0B2p3a6/nyeU+ZdP\nM63j9OnTtLe3z3Gaj46Hh0eh1rYKa8H7iIgIuru7c/r06WzSpAmrVq3KJk2a0N3dnVZWVuzatSu/\n/vrrHJN1HD16lPXq1WPXrl0zvghv375NNzc3zp07ly1btuT06dMz9j99+jQtq1TJaEK3qliRH0+Z\nYtSNkEajYd26dQ0mBclNfHw8Q0ND6eLiwvLly3P8+PEGB5PNnj2bo0aNyvN80dHRPHToEJcsWcLh\nw4ezVatWdHZ2ZpUqVejr68uQkBDOmTOH4eHhvHHjRrZBfvHx8fz9998ZHh7OL7/8kuPGjeM777xD\nLy8vlitXjhUrVmTNmjXZokUL9u3bl1OmTOFXX33FxYsXs5q5eZEEt6KwbMkS1qhYsUhnDzx8+JDf\nf/89e/TowapVq/Lll1/mnDlzePXq1SJ8Z6IskUBcCHLK76wBeBzgDCgDQwZAGTCiv88rANdAGcQy\noGfPfF87JiaGNWvWzNTnmRM7O7tC6xOOiIhgNbU611SHK6A0UVoC7ABlBShDX8hJSUk0NzfPqP3+\n+eefXLhwIf38/GhlZUUfHx82a9aMVlZWbNasGT/55BOePn06U600OTmZH374IR0cHPj1119To9Hw\n1q1brFWrFj/99FM6Ojpy5cqVGU3oPYACTyv74IMP+PHHH+f7M9uzZw/t7e25aNEidunShXZ2dhw7\ndmymZuu9e/fSz8+PpBL0b9++zX379vHzzz/n0KFD6efnR3t7+/9n77zDorjaNn4vSO/dDliAWMCG\nLdaILypY0Kgx9oY1IX7B2EU0itiNhVhDLLFF7L1rLIhG1ITYewMVVKQJu/f3xyxkgd1lFxZRM7/r\nmovdmTPnnJkd5jnnOU/JeeEPGjSI8+bN4/79+/ngwYOckJzPnz/nhQsXuHXrVs6bN49BQUHs1KkT\na9euTVtbW5qYmNDDw4O+vr4MDAzk9OnTuWjRIjo6OnLx4sVq12eXLV1KVxMTrYRbWT09NmnU6L2u\nf5PCc2ppbk4nE5P34j2Qnp7Offv2cciQISxdujRr1KjBSZMm8eLFi8Wuihf5eJGQJESKxNft28Nv\n9270VHF8GIBqAG4DyAKwWOFYTQBTAaQAGC6RQGZqCltb21ybnZ1dvn22trawsrLCyJEj0bBhQ8yZ\nM0dtHzMzM2Fqaor09HTo6+sX+Zp7de4Mz23bkA6gP4AKAPYA6AHgLwB3AHQHcAJAFQDfAogDcBzA\nfIkEfwYEYO3WrTn1Va9eHb/99hu8vLxytZOQkICdO3ciKioKf/zxB6pVqwZLS0vcunUL7969g5+f\nH/z8/NCqVSuYmZkhNjYWAwYMgL29PZYvXw6SaN68OapUqoQ/T55ECIB+JGyUXFMSgEiJBLNMTBA6\nZw4Chw1Teu3Hjx9HcHAwLly4oPH9OnjwIHr16oXt27ejcePGAIA7d+5gyZIliIyMhLe3N1q2bImM\njAz8+OOP8Pb2RlxcHAwMDFCtWrVcm4eHB2QyGR48eID79+/nbPfu3cP9+/fx4MEDGBgYwNnZOdfm\n4uKS89ne3h4SiSSnfykpKWjevDkCAgIwYcKEAq/Hv21bnD18GBOlUpX3M1F+P2ebmGDc9OnYf/Ag\n9PT0sGnTJpiZmWl87wpLSkoK6tSpg2nTpqFSpUpYGBaG3Xv3IkAigXdaGiwAJAOIMTHBNhL+7doh\naNw41KtXTyfty2QynDt3Dtu2bcO2bduQlZWFTp06ISAgAE2aNNHJ/6HIp4EoiHVAYK9eqLN+PYaq\nOD4YgDmA6gAiAfwh358CwAFALIAjAC716oW5S5ciMTERiYmJePnyZc5nxS17f1xcHN6+fQuZTAYD\nAwO1gltPTw8zZszAtm3bcu03MTHJ9ULWhISEBLg7O+NOenq+F7AXgCkAzgBIw7+DjqcAykEYjFgB\nqGxsjBsPHsDBwQEA8PXXX8PX1xd9+/ZV2e7r16+xd+9eREVF4eDBg/Dw8EDZsmWRkJCAq1evokmT\nJvDz80ObNm3w+++/Y/bs2Zg0aRJeJybi52nTcJJEFQ2u7xYAX1NTjFEhjDMzM1G6dGlcuXIF5cqV\nK7C+bCEcFRWFsmXLIi4uLt+mr6+PrKwsmJiYIC0tDZMnT0bVqlXx+vXrXML2/v37ePToEWxtbfMJ\nWsXN0tJSgysVkMlk+PLLL2FhYYHIyMgCn4fk5GS4urpi5cqV2Lp2rcbCLTMzE4MHD8a1a9ewe/du\n2Nvba9zHwjBs2DC8ffsWa9euzdn3/PlzrImMxI2rV5GclAQLGxu41ayJPv365TyLxQFJ/P333zlC\n+eHDh2jfvj0CAgLQunVrGBsbF1vbIh8+oiDWAXNmzUJcSAhWp6fjOYCjAPwBmAA4BOBLABsBNABQ\nFcBqAO0ATIIglM8AGGBiguqhofh+9GiN2vztt98wadIkxMTEwMbGBqmpqWqF982bN3H06FHUqlUr\nl0AHoHbWrezY2jVrcGv6dPySnp6rT/EAXCEMLFYgtyB+DGHWvANAeyXXGx4ejvj4eMybN0+j609L\nS8OhQ4ewbds27Nq1CxUrVoSHhwdSU1Nx5swZODk5oXHjxjh27Bie376NGJkslxBuASAagAEAAigP\n4B+F47cANDU1xa4TJ5TOkLp06QIJCVtTU7x9/RrmVlZw8/RE3/79YWNjgzt37iAuLg47duzAhg0b\n4OzsjEePHsHOzg7u7u4oW7YsrK2tYWhoiKysLMTHx+PevXu4ceMGXr58CYlEgnLlysHb2xvVq1fP\nJWQrVqyo0Ys7ISFBEDpXruTro6LQGTNmDM6dO4eDBw/CyMiowHrnzp2L8+fPY9OmTQC0E24kMWHC\nBERFRWH//v1wcXEpsL3CsGfPHowYMQKXL1+GlZVVsbRRFO7du4cdO3Zg27ZtiI2NRevWrdGpUyf4\n+fnB2tpa5+1p+iyIlAyiINYBijNEKQTBewWADIAzgCAAA+RljwIYAeABBMEcCWG2nHeGqI7sf9wj\nR47A09NToz4eOnQI4eHhOHz4cK79aWlpKoW3KsH++ulTzJJKc2kAsgC0hTDQWAphhv+1/G9lAN8B\nWAVgPQSVdQSA2N69sWzNGgDA/v37MXv2bBw5ckSj61EkKysLJ0+eRFRUFLZv3w5LS0vUr18f+vr6\n2Pv77wh+8wbf5zmnJYA+ENTqqlCmQo+JicHCsDDs2r0b7aVSNJHJcmaBp/T1sV0mg55EAlN7e1hb\nW+Pu3buoXbs2TE1NkZSUhEePHiElJQUVK1ZUqTb+5Zdf8PjxY5ibm+PXX39FixYt8M0336B58+Ya\naS+y+7hn3z50BuCdnp7Tx/Pymapf27YIGjcOly9fRnh4OM6dOwc7O7sC63737h0qVaqEnTt3ok6d\nOgWWV8WiRYsQHh6OPXv25FuOKCoJCQmoVasWNm7ciGbNmum07uLg+fPn2LVrF7Zt24YTJ06gUaNG\nCAgIQMeOHVGmTJki1a3Ns+Dt7a2LyxEpDCW0Nv3JoWufRVVoY5ylyLp169ijR4/CXFo+NAl1SLkB\nWlUIftQzIaRf/EN+bC0E/1NDQ0NaWVmxTJky1NfX5xdffMEePXpw1KhRnD17Njdt2sTo6Gg+e/ZM\nI0MfqVTKc+fOccyYMXRxcVGZLagFhJjI6n6X7KAODx48YGxsLAf170+7UqU4V0Wd2a5aswFaSSQ0\n0Ndnly5dOHv2bG7evDnnOgoy2tm9ezd9fHxICtbNS5cupYeHB2vWrMkVK1YotbbORht3MkcjI1qZ\nm2vsu02Sq1evzulbUdm8eTMdHBx06lInk8nYoUMHjhkzRmd1vk+Sk5O5ZcsWfv3117S2tmbDhg0Z\nHh6eKxKcpugy3K5I8SIKYh1RnD6L2WRmZrJVq1b84YcftO7f3LlzGRQUVJhLy0deK3FloQ7zbjfk\ngveVgpCu5uLCzz//nJUqVaK1tTUhaIlpYGCQk9lJX1+fEokk55ienh6NjIxoZWXFcuXK0cPDgw0b\nNqSfnx/79+/P8ePHc8mSJdy9eze/HzWKfQ0NlfanBYQIUA4AmwA8rqLfXwHUk0hobGjI0vLfS9Pf\n1cXYuFAvtydPntDW1jaXwJbJZDx48CD9/f1pb2/PMWPG8P79+7nOK4w7mYuRkcZ9lEql9PDwyBfR\nrCgcPXqUDg4OWg8sVbFixQrWqlVL66h0HyIZGRk8cOAAhw4dyjJlyrB69eqcMGECL1y4UOBgTleu\nhSLvB1EQ65Difvi///57/u9//ytU6L8xY8boLLG9ot+0qlCH6QD/kn++Lxd8ExWFtxK/6datW3PL\nli38559/ePDgQa5atYpTpkzhgAED2KpVK1auXJnGxsY0Njamk5MTnZ2dWblyZVaqVInOzs4sW7Ys\n7ezsaG5uTgMDA5oASt3KCPA8wLcA30FwH7MAeEdJuaUA61WrRgcjI5W/6w0IaQB7F2GQlZfSpUvn\nE7TZ3Lp1i6NGjaKtrS07d+7M48ePMzo6ukB3slQIWZLsIWgnmmvZx+3bt7NOnTo6d8OJjY1luXLl\n+NNPPxWpnps3b9Le3r7ALFofI1KplGfOnOHo0aNZpUoVVqxYkd9++y2PHj2aT1OUPSnoCNWhdjcB\n/Ez+nFQHuL2Iz6tI0RAFsY7JVgfp2mfxt99+Y6VKldRGzlJH//79uXLlykKdmxdNQh2+gpBo3RxC\nZLEJ+DfdnKoE8cHBwZw+fbratmUyGRMTE3n58mXu3r2bERERHD9+PHv37s3mzZvT2dmZBgYGtLCw\noIOxcb5UeKq2NgAXK9m/Vi601EWT+h/AZkoEMVH4aFLt2rXjtm3b1JZJTk7mkiVL6OHhwdKWlpwJ\nIYbyA3nbu+W/x335954Ae8jvvwz/ZkjSpI8ymYyNGjXS2cw1L3fv3qW7uzvHjh2rUtCry++dmZnJ\nBg0acOHChcXSvw8JmUzGv/76i9OmTWPdunVpb2/Pfv36cceOHUxNTc1ZJlMVavcxQEOAB+TH9kAI\nPvS8CM+rSNEQjbWKgQsXLujUZ7Ewxll58ff3x5AhQ9C+fftCnZ+XXp07o9727fiuEI+PMiMoAFi3\nbh127dqVY42bF5lMhvj4+HzuPIqbRCKBs7MzSpcujQfXr+O7Bw9UupUp0k6+jcyzPwLADxCM65T5\nym4EsB2Cn/gtAGvyHE8EUEEiQa1GjVC+fHmUKVMGjo6OsLOzg42NTc5ma2sLGxsbWFlZQU9PD5Mm\nTYJEIsHUqVML7PuzZ8/gXrEi7mVmqnQnqwbBOPARBOPAvH0syFjw1KlT6N+/P65fv15s/q8vXryA\nv78/3N3dsXLlShgYGADQzOCokosLSlla4uzZs9DT0yuW/n2oPHjwANu3b8e2bdtw4cIFMDUVD2Wy\nXM/CdQgGij8BqAigA4BnCscdAeyCYGypjeGoiG4QBXExoolbR0FuBS9fvkS9evUQFhaGr776qtB9\nqV+/PhYtWoQGDRro5NpiYmLQoUULnEpN1cg3Nxt1bkGXLl3Cl19+iVWrVikVsg8fPoSVlZVa/1lF\n1485s2bh75CQfG5WryG4LjUHUAqCMB0K4BKQ71q+AnADwJ9KruUNAG8AxyC4a91GfkEMAF9LJDhk\nYwMZgDdv3gAAjI2NYWBgkCM0srKykJGRgXfv3sHU1BSGhobIzMyEt7c37O3t8wlsxc9bNm3CkwUL\n1LqTRQOYDcAHwFoAZQGEAOgsL1uQ+5y/vz/at2+PIUOGKD2uK1JSUtC9e3fIZDJs2bIF69esQUhw\nMMakpaEvVQdiWQVgjokJps6dqzIQy3+B0JAQ3A4Lw5rMTACCh0YkBFfCOgBOAjAG0ArA9xAGnzsh\nBNy5DsHlUltXSpGiU6qkO/Ap4+DgoPJhVjvKj4qCW0gI2vr64taTJ+jatWuRhDAAxMfHw9HRsUh1\nKOLt7Y3QOXPgGxyMAxoK41sAWhsbo9uAAbh48SKioqJyCdr4+HhkZWVhwoQJqFSpEpydndGwYUN0\n7949x3/WxMREo/6RhLOrK0IyMjAPuWezmQAmQnjx6APwgODfnPcaEiG8pEJVtDEZQrCWsgX0pSkJ\nCz+/HFetlJQUJCQkICEhAc+fP8/5nJCQgPj4eDx9+hQPHz7E7du3ceLECRgaGsLMzAwmJiYwNDTM\nmZHKZDK8e/cOyfHxmJGRkavNLAC9APQD4AZgK4SIZ10hBFc5A8APQpAZdwDeaWmIvXpVaf//+usv\nXLx4Eb///nsBV1p0zMzMsH37dgwZMgQ1q1cHEhJwKi1N7fNlAyAYQKe0NPgGBwPAf1YYP759G43l\nQhgAlkDw5T8LIaqdEQA9AL0hRMFLl+/bAkEIA+qfBZHiQRTEJcDyiIicUf4iJaP8oWlpmAtg9Y4d\n2K+nhwFqok1pAkkkJCToVBAD/77smgYHY3RaGvqrmLEkQpix/AjA1MICcdeuISUtDc7OzvD19c3x\nozUwMEB9b284WVhA+uoVEkhYW1qidqdOGqvJSOLw4cOYMmWKoE2oWxeRFy9ilILixx7AeQ3q+gWA\noUSCskqURrEADsv/FoQFgOSkpJzvZmZmcHV1haurq9rrsLe3x9WrV2FqaqpUaGd/jz58GBYKgpgQ\nhLARgEXyfSYADCEMQCQAmkFQVR6EIIjz9lGRWbNm4dtvv31v0Z9KlSqFIUOGYMeaNTiXlZUjhC0g\n9B0QrjENwoxvoXxfFQAHUlPRNDgYdby9dRaqsqQhibS0NLx69QqvXr1CUlKS0s+vXr3CySNH0DzP\n+RIAjSFoQiIAfAZhueUkgNoALkBQVe8H4An1z4JI8SAK4vfM8ogIhAcHF6jStYGgOuook8H3hx+g\np6dX6FH+27dvoa+vX6T4vjKZDM+ePVOqMjYtXRpT7t/HRKkUnSQSYQYIYXZ/1tAQOwG09vHBoZAQ\n1K9fP1/dMTExmDBqFPbs2wf/zEx8/uRJPu1AQUEH8grgyZMno3v37vjzzz/RoUULtC+ECn2moSGs\nbWyQHB+f7/gJAPchrLcRwFsAUgjxtPNGoE4GYGGjbIiiGolEgjp16iA2Nhbt2rWDtbU13NzclJYN\n7NULyevX53wfCOAFgL0QZvyA8IKFvK/ZwkwxNEgygHMXLqBHjx5wdHSEo6NjzuBn+/btCAoKwuvX\nr2Fpaal1SNTC8NPMmZgoleb6zZIVPqcAKAOgW57zqgD4IS0NC8PC8tkglCSZmZkFCtK8QlXxu56e\nHqytrWFjYwNra+t8n0uXLg0PDw88vHEDyc+eKe1DFoTlkwwIyzK15fvrQbAfOAzhOSnM8ypSNERB\n/B6JiYlBiBIhfB/AcAjqI2MAXSCM8vWgm1G+JrPhzMxMPHz4UKUR1KNHj/Ktz3722Wdo06ZNzvfM\nzEysiYxErMKauFfNmpirJo6vptqByO3b0eHAgXzJGEji0KFDmDJlCpKSkjB58mR069YtR31bWBV6\nUwCVatZERWdnnNuzB0PzqH6HQFDtZTMbwu/4s5L6/tDXh5WpKUhqJcRq166NP//8E+3atVNbzs3T\nE+e3bsXQ9HQMBXANwkvVUKFMMwiDhjAAYwGcg6CqnC0/Hm1khNb+/mjWokXObPvu3bs4evQozM3N\n0a1bNyQkJODdu3c5QjpbYOf9rvjZ1NRU4+vNJiEhAXv27cMiNeYrv0MwMPpcybG+JKbu3Yvnz5/r\nzOBIJpPhzZs3GgvOvJ8zMjLUClIbGxtUrFhR6X4rKyuNtRGvEhNxPiYGXdLT84Xa3SjfLADMAnAZ\ngjHfJQihdkfI64gxMUH1mjV1ct9ENEM01nqPqLI09oPwUlkOwfDEB0AgclvwqrI01oSzZ88iKCgI\nkZGRKgVtQkICypQpo9IISpv1WU1ZumgRxo4aBUupFMkQQmHOANBGfvwIhHvwEMKIPQRAf3kyhsFD\nh6oVwHnJFvg/pKWpzRb0i0SCcENDvDMwwJaoKHh5ealMcKFIKJQbayUCKC+RwLZsWZibmyMwMBB9\n+vTRKOHBxo0bsXnzZkRFRaktlx1i9WR6OrwgDOay74IEwDIIg4Z/IMyWr0IIvToDgkpSldX0y5cv\nUbVqVVy9ejUnuUVaWppKFbmy76VKldJYaDs4OMDQ0DBX7HZVtIIwq5us4nhegyOSSE1N1Wg2qkzA\nJicnw9zcXK0gVfY5+7uZmdl70SRkPwsx6ekYBNWhdpcCmA8gAULimZEQwtBqYkEvontEQfyeUJex\nqDqAufhXAP0AQT0UoVBG3T8ISSQlJSlNiXf//n3cvHkTKSkpqFKlikpBW65cOZQq9f4UJDExMWjf\nvDm6p6UhGPnTKJpBEMyrIYzqJwI4BWGdq7GREZyqVoVUKsXkyZPRtWvXAl1qEhISsGrVKqxfsQJ3\n7t1DRxLNgBwV+Gl9fewxMMhxK0tNTcWXX36JQ4cOYXZoaKFdteYAWGRvjyxDQ5QuXRoODg44d+4c\n/Pz8EBgYiGbNmql8Qd+4cQP/+9//cO/evQLbKYo72RwA+xo2xJGzZ3PtDw0NxYMHD7Bq1Sqt6wSE\n5zI5OVmtoFb8/OLFC5iZmcFIJkNocrJKt7P7EDRFtyAIGGVEAJhhZwdjG5scgWpgYKCV8FT8bGlp\n+dGkLSwO10KR4kUUxO8JdaP8FQBOQ3h5JEIQyNMhzFYU6WdkBGmXLqjh6ZlvRquvr69SyJ48eRLX\nrl3DypUri/syNUbVyyLb7/UFgF/xb8rIVAhGVrEQLJl3e3vjyNmzKl+OL1++xIkTJ3Ds2DEcO3YM\njx49QtOmTdGyZUvUqlULf164gE1r1gBSKVyrVMHRM2fwz7VruQY5GzduxOjRoxEREYHB3bsXylWr\niYkJug0ahFOnTuHu3buQyWRwd3dHkyZNcODAAchkMpWzZJlMlpM4oqCEDEVxJ/vcyAgmpUujVq1a\nWLx4McqXL4+UlBS4urri5MmT8PDw0KLGwiOTyfDq1Sv069IF3Y8fV5nf+0cI2pJjaupaB2D9559j\nwapVOepdTTJLfQoUh2uhSDHzHoOH/KfJG59ZcfsHYF2ApQDqQYjdrKzcUoAeFSsyODiYixYt4s6d\nO3n58mW+evVKbdvTpk3j+PHj39OVFkx2ZK68kceeyaN0XQcYBHB4nuM1AUapiMyVlJTEHTt28Lvv\nvqOXlxctLCzYpk0bhoeH8/z580oTRowePZozZ86kVCqlnZ0dHz58mK/MrFmzWKNGDS6YO7fI4Uv/\n+ecfTpgwgQ4ODtTX12eVKlU4depU9u7dm1ZWVuzRowePHTuWK7JU06ZNNY7tvGzpUjqrCcWpro/p\n6ekMCQmhnZ0dFy5cyAULFjAgIECbn1VnqPtfIUA3gJEFXNtSgIG9e5dI/z8ExFjTHxeiIH5P5M1Y\nlL3JIMQGDoMQ9zgRYEeAPygpuxZgD39/rdv+5ptvuGDBgmK4qsKhGKs6e8sE6AMhFjIBDgQ4Ls/1\nfw4hLjQB9jM25sD+/RkcHMy6devS3NycPj4+nD59Os+cOcN3794V2I/g4GDOkse7DggI4Lp16/KV\nkclkHDFiBFu1asUlixZpFL50FkBrPT1+9+23SsM1ymQynj59mi1btqSenh4tLS0ZGBjIyZMnwyyK\n3QAAIABJREFUs1q1anRzc+OcOXP4/PlzBgUF5fSxIC5cuEALMzM6GhsXOsTqP//8w2bNmtHQ0JC/\n/vqrRu3qisePH3PZsmWs5uHBr1T0/TSEsKlvCxAsymKZ/9cornC7IrrnvxULrgQxt7LK5X6RTSIE\nY6QREJLU20DIkbtPSdnCuhUUhw9xUbhx5QrqK6jolfm9mkOIXKXIawhrugBQPz0dR/buhYWFBebP\nn48XL17g0KFDGD9+PBo1apQTHlEdMpksZ322efPmOHnyZL4yEokECxcuhLm5Oc6dP4+dx4/jz4AA\nVDI2xgATE0RAUINGQDAQqmxsjMsBARg9bRr27NuHVq1a4WyetVeJRILGjRvj6NGjeP36NXr27Im1\na9di5syZMDQ0hJ+fH6Kjo1GlShVER0dj3759YAErSA8fPkTHjh2xZt067Dl1qsA+XgoIwK4TJ/K5\nxHl4eGDw4MFwcXFBcHAwgoODkZKSUuC9LAwkcfXqVfz444+oX78+atSogePHjyNo1CjsNzKCMk/W\nNRC8CtQ54iUC2EaiT79+xdHtj4bAYcOw68SJQj8LIu+Rkh4J/FdQNgvM3irLZ1FZAJMABgDspcNR\nfsuWLXn48OFiuKrCkVc7oCyN4nL5DDj7+1v8q7bO1g7UcHbm/PnzuXv3bl6/fl2jWbAio0aN4ty5\nc0mSf/75J93d3VWWTUlJYYMGDThhwgSSZEJCAufMmsXA3r3ZrW1bmuvpcfasWbnU5ZmZmVy5ciUr\nVKhAf39/xsbGqqw/OTmZP/74I62srOjq6kpzc3O2aNGC7dq1o4GBAd3c3Dh79mw+f/4837lv3ryh\nl5cXZ8+enWu/Yh97+PszsHdvzsnTx7zIZDJ6enpy7969jI+PZ8+ePens7Mw9e/aoPEcb3r17x8OH\nD/Pbb7+li4sLXVxcGBQUxCNHjuT6/d5Xfu//CoV5FkTeH6Igfk+oWhclwMsQ0gTaQMiP2x1gghIV\nkrKMRZpQrVo1Xr16tRiuqnAorgGqSqP4HELWoygIKRVHy8sprgE2rVePI0eOpK+vLytVqkQjIyNW\nrlyZbdq04TfffMOffvqJe/fu5c2bN5WuEQcFBXHevHkkyaysLFpbW/Pp06cq+52QkMDKlStz2bJl\n+Y7Z2tqq/G3S0tK4cOFCOjk58auvvuL169dVtvH69WtOnTqVdnZ2bNGiBZs1a0YJwIoODnS2taVl\nqVKs5enJqKgoymQyZmVl0c/Pj4MHD9YqPaGqTEYbNmygp6dnrroOHjzIypUrs2vXrnzy5InGbWST\nlJTE3377jV999RVtbGzYoEEDTp8+nVevXlXZ5/eR31tE5ENBFMTvkaKM8mcD9K5enSkpKVq3a29v\nz/j4+GK4osIxOzyc/YyNeR+q0ygS4BGAHhBStLXEv+n8VGkHMjIyeO3aNe7atYvz5s3jsGHD6OPj\nQ2dnZxoZGbFq1aps164dg4KCuHjxYnbq1IkTJ07Mye/s7+9fYJq/GzdusHTp0vlmiLVq1eKFCxfU\nnpucnMzp06fT3t6eAwcOVJlvmCQPHz7M2u7uNIGQujAC4Dr53x4SCU0AOpiZ0cvLi02bNtVYG3D+\n/Hn2DAigtbExBxgb56q3v4kJTSUSNqtbl+fPn891XmpqKseNG0d7e3tGRERQKpWqbefOnTtcsGAB\nv/jiC1pYWLB9+/ZcsWKFVoJcNDgS+a8gCuL3SFFG+U7Gxvziiy9Yrlw5Llu2TOkMTxmZmZnU19dn\neFiY0jyu74vMzExGR0czLCyMNWvWpDGg0oCkoK0w2oG0tDT+/fff3L59O2fPns3AwECWK1eOVlZW\nNDY2poeHB6tVq0YvLy9GRETw8OHDvH//vlKBc/bsWdrb2+cSvO3bty8wf3A2iYmJHD9+PG1tbfnt\nt9/y2bNnuY5nG9nMV2NkkygfnFkCNDIwYLdu3Xj06FG1s2JN61VnvHPlyhU2atSIjRs3zqVlkUql\njI6O5oQJE1izZk06OjpywIAB3L59e6EGj3n7LBociXzKiIL4PVPUUX50dDRbtmxJNzc3btmyRe2L\n9/z58+zSti1NAKWzH2tjY/YMCMg3+9EFWVlZvHjxIufMmUM/Pz9aWlrS2dmZjo6OrFixIpvUqcN5\nJbwGOGLECP70009MSUnhlStXGB4eTicnJw4cOJDNmjVjmTJlaGJiwurVq7NTp04cPXo0ly9fzmPH\njnHFihUsW7Ys79y5Q5IcPnw4f/rpJ63af/bsGYOCgmhra8vx48czMTFR6fOxGGA9gEbI79p2E2AZ\niYTmJia0t7dnhQoVGK5kkKXL2aVUKmVERATt7e3ZtWtX9u/fn6VLl2a1atU4duxYnjlzJkfLoAti\nYmLYq3NnWhoY8Gs9PS6FYCOwVOE57tW5s6iOFvloEQVxCVDUUb5MJuOBAwdYu3Zt1qtXT6khliZt\nJMqFmi5mElKplJcvX+aCBQvYsWNH2tjY0MPDg0OHDuWYMWNYq1Yt1qxZk7///julUukHsQY4fPhw\nLl68OOd7ZmYmLS0tcxlEJScn89KlS9y8eTOnT5/Ofv368fPPP6ejoyMNDQ1pZGTE9u3bs3nz5mzT\npg1PnjzJp0+farVee//+fQ4cOJBWVla0MzDId0+2AdwBwa9amY/5TYCOxsbs27cvy5QpQ0tLSxoZ\nGbFdu3Y8cuQIo6Oj893rDAguYs7yWXVtgPs0uNfx8fFctWoVO3bsSHNzczo4ONDOzo6RkZFF/j0K\nYuLEiWzetKlocCTyySEK4hIie5RvbWzM/iYmhRrlS6VSbtiwgZUrV2br1q158eJFku9nbU0mk/Hv\nv//m4sWL2aVLF9rb27NKlSocPHgwf/vtNz5+/Ji7du1i3bp16enpya1bt+ZT85b0GuDQoUO5ZMmS\nXPvatGnDqKgojc5/9eoVe/XqRXd3dwYEBNDZ2ZkNGzaknZ0dLSwsWLt2bXbr1o0TJkxgZGQkT58+\nzYSEBJVCuqOPD+equf6JKgQx5YO2Xp07UyaT8ezZswwMDKSFhQWNjY1pbWCQr94UgKEAH8i/74aw\nPn9fSb0dfHw4c+ZMNm7cmFZWVuzatSvXrl3LFy9ekCR3795NZ2dn9urVq1iFYq9evbh69epiq19E\npKQQBXEJowu3gnfv3nHp0qUsU6YMfXx86GRszBAV6sx7EAykLPCvcdSPGsw0ZTIZr1+/zp9//pnd\nu3enk5MTXVxc2L9/f65Zs4YPHjzIKbdz5061AliRklwDHDJkCCMiInLtmzFjBoOCgjSuQyqVsmvX\nrmzZsiUbNWqUsz8xMZHR0dFct24dQ0JC+PXXX9Pb25vW1ta0srJivXr12KNHD06ePJlr167l3r17\naW1kpHbdXJ0gfgnQvFQp3r59O6cPmZmZ3LRpE8309DRaj/eEYKWet14TgAMGDOCBAweYnp6u9D68\nffuW33//PR0dHbl69WqtNAKaUqtWrWJZRhERKWlEQfwJ8fbtW9b97DPOUaPOvAchjKZMyYs479rr\nnTt3uHLlSvbs2ZPlypVj+fLl2bt3b65evZp3797N1Xa2AK5Tpw495e41BVnWZqML7UBhGDx4MH/+\n+edc+06fPs1atWppVU9aWhrr1atHCwuLAsvKZDI+f/6cZ86c4a+//sqJEyeye/fuLF+2rMpoUpoI\nYgLsqa9Pc1NThoWFMTk5maR6/3XFTTG8aN5j/bTwX//zzz9Zr149Nm/enNeuXdPqPqojMzOTJiYm\nfPv2rc7qFBH5UBAF8SeEMl/lvC/v7BlxlopZlYWBAbt3705nZ2eWLl2aPXr04PLly3nz5k2V4Rp3\n7NjBOnXq0MvLSysBnJf3HXRg0KBB+XyCMzIyaG5uzsTERK3qevbsGQEUOpRoQfGVNRHESwE6mJvT\nysqKpUqVEgZPtrYF1ps3vKiyerWJ25yVlcUFCxbQzs6OU6ZMUTmL1oZr166xUqVKRa5HRORD5P3l\nvRMpdtZERiIAUJs3FxBy1LrI//pASA5vB8AWQHuZDBnv3mH//v1wd3dXmaKPJHbt2oUpU6ZAJpNh\nypQp6NChA/T0Ch811cHBISd/7PuAZL7+GhoaokGDBvjjjz/Qvn17jetycnKCo6MjZsyYAWdnZ3Tq\n1Emrvrx9/TonfGdhsQBQ3d0dc5cvx61btxAREYErp0+rrZfIH15UWb3JScoCTipHX18fQUFB6Ny5\nM0aOHAkvLy8sW7YMzZs317iOvPz111+oUaNGoc8XEfmQEWNNf0LkjeGsDHsAMRByul6EEL9aMd1c\nE6kUdubm8PDwUCqESWLHjh2oW7cuQkJCMHnyZPz555/o1KlTkYRwSaAYa1qR5s2b48SJE1rX5+rq\nihkzZmDw4ME4d+6cVueqikUOAFIA6fK/WQAy5J/zkgzg2s2baNKkCWbOnAlXV1e4Vqmisl4AGAgh\n5WQUAFXZdgsb47xChQrYsWMHwsLC0LNnTwwcOBCJiYla1wOIgljk0+bjenOKqEWTWZUZgDoQfngH\nAIsBHASQHdZf1exHUQBPmTIFISEhH60AzkbZjBhQnQCiICpUqABzc3NERkYiICAAt27d0vhcN09P\nRBsbKz32IwBTAOEA1ss/T1dSLsbEBMETJ+LFixeIiIhA/fr1YWBhgVMqtBpDAVyDkN/ZUE3fYkxM\n4FazpsbXkpeAgADExcXB1NQU1atXx/r160FSqzpEQSzyKfNxvkFFlKJuVqUOCQCZ/HPe2Q9JbN++\nHXXq1MklgDt27KhSbf2xoGpGXL9+fcTFxSE5Wbu7WaFCBTx8+BB+fn4IDQ1F27Zt8fz58wLPk0ql\nMDAywqb0dKUZh0Ig/D5ShW1ynjKKGYdMTU3RoEEDDB06FFN//BE7JJJ89T4AsBxALAAnCAMwSwAb\n1NRbFCwtLbFo0SJs374ds2bNgq+vL27fvq3x+aIgFvmUEQXxJ4SbpyfOGxsjAcAsAAMgqBxPAZgJ\n4BmA8wBuQFgbfAkgCEBL/JteMHv2oyiAp06ditDQ0E9GAGejakZsbGyMunXr4vTp01rVV7FiRTx4\n8AAAEBgYiG7duqF9+/ZITU1V2f7u3bvh5eWF33//HS2aNcOvhby3v0ok8G/XDg4ODgCAy5cvo1On\nTujXrx88a9RAZJ56K0IQ7qkQBl/JENJO9shTb6REgiaNG8PKyqpQ/cpLgwYNcOHCBbRu3RoNGjRA\nWFgYMjMz1Z6Tnp6Oe/fuwd3dXSd9EBH54CgpKzER3bN//35a6enRGkKkJEmezRhCasGyEHyIywLs\nCzBewWra2tiYv/zyC728vFi7dm3u2LGjWHxCPwR69uzJNWvWKD02adIkjh07Vqv6fv/9d3bq1Cnn\nu0wmY69evdixY8d8IR/PnTvHZs2asVq1aty5cydlMplOoo399ddf/PLLL1m6dGnOnz+fqampRarX\nVl+flSpVoomJCb28vNivXz8uXLiQJ06c4OvXr7W/6QrcuXOHbdq0YY0aNXjmzBmV5WJjY1mtWrUi\ntSUi8iEjCuJPhOzAGHOhOplCIsB5AEsDXKbk+FyJhGUsLVmnTp0c4fAp8/XXX3PdunVKjx0+fDhX\ngA5NiI6OZt26dXPty8jI4BdffMGRI0fmBEXp0qULy5cvz1WrVuVL3lHYaGOhISHs0aMHHR0dOWvW\nrHz+tsuWLqWLsXGho5ilpqYyOjqay5Yt49ChQ9mgQQOampqycuXK7NKlC3/88Ufu2bOHjx8/1uq5\nkclk3LhxI8uUKcOhQ4cyKSkpX5l169axW7duGtcpIvKxIQriT4BCvbzzCOObAK319Dh37txPXgBn\n89VXX3H9+vVKj6WkpNDU1FSrABJPnjyho6Njvv2vXr2ih4cHGzZsSHt7e86cOVNtRiJNo43NkUjo\nZGzMRg0a0N7entOnT+ebN2+U1vny5Uva29rSwciowHpnyZ+FIPngQRVZWVmMi4vj+vXrOXr0aPr4\n+NDOzo6Ojo709fXlmDFjuHHjRl6/fr1A3/LExEQGBgaybNmy3Lx5c652x44dy6lTp6o9X0TkY0YU\nxB852WrHEKjO0LMCYBUI4SzbAnySrc4EGCP/7GxkxJ//Yynkunfvzt9++03l8caNGytNqKEKqVRK\nQ0NDpqWl5ex78+YNJ02aRCsrK5qbm3PlypUa1VVQtDFTPT1WsLOjlZUVp0yZwlevXqmsSyaTsUOH\nDhw1apRGUcx6BgRwxowZ/Oyzz/j555/zyJEjGt8DmUzGhw8fcufOnQwNDWVAQABdXFxobm7Oxo0b\nc8SIEVy5ciUvXLigNNDHqVOnWK1aNfr5+fHevXskhTzRmsb/Lirx8fGcHR5eoilDRf57iIL4I6dn\nQADnSyQqQ1oeA+gI8B8IEZSGAWyerYoG2EC+vvhfzOParVs3bty4UeXxcePGcdKkSVrV6erqyps3\nbzIjI4OLFi2ik5MTe/fuzbt37/Ly5ct0cHDgyZMnNa4vb7Sxnp07s1HDhjQzM6OTkxNfvnxZYB3z\n5s1j/fr1mZGRka/ejv/7Hyva2CiNYpaVlcV169axatWqbNGihVb9zktiYiKPHj3KefPmsXfv3qxR\nowZNTEzo6enJvn37cv78+Tx+/DhfvXrFjIwM/vjjj7Szs+PcuXPp7OzMmzdvFrptTTh//jx7BgTQ\n2tj4vacMFRERBfFHjCYhLYMBjlD4/gSC4dYduRrSTE+PBw8eLOlLKRG+/PJLbtq0SeXxffv2sVmz\nZlrV2bRpU06aNImVK1dmmzZtGBsbm+v4wYMH6ejoyLi4OK3qffLkCb/55hva2Njwhx9+YHx8PKtU\nqcLTp0+rPS86OpoODg45eZPzcuzYsQKvMTMzk7/88gtdXV3ZunVrnj17Vqu+qyItLY0xMTFcvnw5\nhw8fzkaNGtHMzIyurq7s3Lkzv/vuO9aoUYMSiURnbSojeylg/ntKGSoikhdREH/EKAvoX5AgfiQX\nxDvl3/trEdD/U6NLly7csmWLyuNv3ryhmZlZLlWzOo4cOUJbW1u6uLioVef+8ssvdHFx4dOnTwus\nMz4+nv/3f/9HGxsbjho1is+ePcs5Nm/ePH799dcqz01KSqKrqyu3bt2qsszhw4fZsmXLAvtBCoZn\ny5YtY4UKFdiuXTteuHBBo/O0ISsri9euXeOGDRv4ww8/0Nvbm3p6epRIJKxYsSKDgoK4YcMGXrt2\nLZ8lemEo6VScIiKkKIg/apQlCsgriA/LVdNXAaYCDASoD3Cj/Li2Af0/JQICAvj777+rLePt7c3j\nx4+rLRMbG0tfX19WqlSJHTt2ZGhoaIFth4aGsk6dOjlZkvLy4sULjhkzhra2thw5ciQfP36cr0xi\nYiKtra1zCedsZDIZO3fuzJEjR6rtx4EDB9i6desC+6tIeno6Fy9ezLJly7JTp068fPmyVudrw8qV\nK9m3b19euXKFPj4+tLKyYsOGDVmpUiWam5uzUaNGHD58OJcvX86YmBiNB03kv/YVHeX2ElYA3QGu\nlP9vrMe/qUItAJrKB7HboT5lqIiItogBPT5iNAlp2QrAFACdAVSSbxYAysuPaxvQ/1OCKgJ6KKIu\n7vT9+/fRp08f+Pr6wt/fHydOnIC+RIKta9fi6/btEdirF+bMmqU0utakSZNQu3ZtdO/eHVlZWTn7\nk5KSMGnSJLi5ueHVq1eIjY3FokWLULZs2Xx12NjY4Msvv8TKlSvzHVuyZAnu3buHOXPmqL2+rKws\n6OurijKtHCMjI4wYMQK3bt1C8+bN4evri27duiEuLk6rejQhO6JWzZo1cejQIWzbtg0vX76El5cX\noqOjERYWBjc3N5w+fRoDBw6Era0tatasiT59+mD+/Pk4duwYklQ83wvDwjAmLQ0zANwF8ApCuM+J\nAC4B+Br/Bjp5A2ApgMoAOgL4IS0NC8PCdH69Iv9RSnokIFJ4NJkR591uyEf5r8QZMTt06MBt27ap\nLbNr1y5+8cUXufa9ePGC//d//0dbW1tOnjyZR48ezTH06WtoqLGhz7t37+jr68vBgwfz1atXDA0N\npZ2dHQcMGJAv37MqLl26xAoVKuTyR7548SIdHBw0MnDauXMn/fz8NGpLFW/fvmV4eDgdHR3Zs2dP\nXr9+vUj1KeLj48N9+/bl2peWlsZJkybR3t6eixYtyqWiTk9P58WLF7ly5UqOGDGCn3/+Oc3Nzeni\n4sKAgACGhoZy586dvHTpUj77CgK8BrAMwC1K/ndaApyKf928rI2NRWtqEZ0gCuKPGMU14iyAaQDH\nAewNMF2+Lx3gX/KXx32ALeTCOvvl8l9eI27fvj23b9+utkxSUhLNzc2ZkZHB1NRUhoWF0c7OjkOH\nDuXTp0+LbOjz5MkTli1blqampuzdu3ehrIMbN26c497z+vVrVq5cWa0RmiLbtm1jx44dtW5TGW/e\nvOG0adNob2/Pfv368fbt21rXkdd9yMbYmBPGj1cq8P7++282adKE9evXz2cUp4hUKuX169e5adMm\njh07lr6+vrQwM+NXCr/RcAXVc12AKXl+w3sAS8n/iv87IrpGFMQfMYpW01PkLxE9hS1UPvP1lM+C\nywCcAFAmjupJCv6pO3fuLLCcl5cXx44dy3LlyrFLly45M76iGPqkpKRw9uzZdHR0ZMeOHVm2bFmV\n4TYLYv369WzVqhVlMhm7d+/OIUOGaHzuli1b2Llz50K1q4qkpCROnjyZdnZ2HDx4MO/fv1/gOerc\nh/qp0SpIpVKuWLGCDg4OHD16tMYBWJRpk2QATwOcLh/EKh6bKp8RK+77L2uTRHSLKIg/crL9iDUR\nBHm3eRIJe+n4Jfwx0a5dO+7atUvlcZlMxh07duRYQiu60KiK35wIsBNAM4AuAH9TIoztDQxoZ2fH\nLl268OrVqySF2Z2jo6NWAUSySU9Pp5OTE6dMmUJPT0+mpqZqfO7GjRvZtWtXrdvUhJcvX3LcuHG0\ntbXl8OHD+ejRI6XldOE+9OzZM/bo0YOurq75VNnK6OHvz3Uq2hoKcFGefVUB/ppn31qAPfz9i3yf\nREREQfyRU5SA/o5GRv9py8+2bdtyz549So+dOXOGTZo0YfXq1Tl+/Hj6+vrmOq5qAPSVfEsF+AcE\nS9y4PGXmAPTPs+5MksePH6eDgwOvXLmi9bUMGjSIxsbGvHbtmlbnrV+/nl999ZXW7WlDfHw8v//+\ne9rY2PC7777L5bala/ehffv20dXVld27d1fqHvbixQvu3LmT9apVyzcjzt4GAfxO4fsfEDRKb8UZ\nsUgxIQriT4DCvMycjYxoZW7OiIiIku5+ieHr68u9e/fm2nft2jUGBASwfPnyXL16NbOysvj8+XNa\nWFjkGEQpC6RCCOuKhgBvKezrA2HdXrGcuiWBDRs2sEKFCnz48GGu/epCL75584aVKlWimZmZSnco\nVaxZs4a9evXS8s4VjidPnvDbb7+ljY0NR48ezYMHDyodRP4D8Av5IKYqwG1Knl917kMpKSkcM2YM\n7e3tOXXqVK5atYqDBg2ih4cHLS0t2bp1a/7Px4d9DA2ZAMGV7y1AKcD9cqG7W6G9wRCylOX9PxLX\niEV0hSiIPxE0TRQwV0G9d+PGDXp4eHD48OF89+5dSV/Ce+d///sf9+/fT1IQEoGBgbS3t2d4eHg+\n9W6NGjUYHR1NUnkgFQK8BEElrbhvLsAOWr7Ew8PD6enpydevX2sUetG9QgV26NCBAQEBWg+sVq9e\nzb59+2p/84rAw4cPOWzYMFoZGHBunvuSBdAN4AIIa7ZH5fc0r7BWtqySkZHBs2fPcvbs2ezUqRNt\nbW1paGhIe3t7jh8/npcuXcqxsM4eTN2EEPLVRi74PQGuUmgnXX7smBaDKRERbREF8SeEJgH9e3Xu\nnGsm8erVK7Zr144tW7bkixcvSrD37x8fHx9GRUVx4sSJtLW1ZXBwsMrYzSNGjODs2bNJKjf0IcBT\nEAziFPetQH4jn4LUmjKZjMOHD2c1d3eN1k5nAyxtYsJRQUGsUaOGVtmzVqxYwQEDBmh/84pIfHw8\nrYyM8l3XXxCCZyju+x/AycoEoZER161bx7Fjx7Jp06Y0MzNjrVq1OGLECG7YsIEPHjxgVlYWlyxZ\nQnt7e06cODFXwA/RvkLkQ0EUxJ8geRMFKAvor0hWVhZHjx7NypUr8++//37PvS0ZMjIy6ObmRmtr\na/bt27dAy97NmzfTX26Yo8rQR9mMeI6KGXFBhj4RixeznL6+1munZZyceOLECY3vw88//8zAwECN\ny+sKVVoFZYK4NcDOSq75K4BVq1RhSEgIDx48yNevX6ts7/Hjx+zSpQurVKmSE360KPYVYmQtEV0i\nCmKRHH799Vc6ODiotST+2JFKpfztt9/o6upKW1tbLl++XKPznj59Smtra2ZlZamcEadASEOpuEbc\nG/nXiAuaEZ8/f55OJibsCtAZoCXA2gD3yc99B/BLCFbZEoAnFASEvYEBfXx8NL4fixcv5rBhwzQu\nrytU3cNMgJXls/xMgAcgrLu30fIeqmLnzp2sWLEi+/Tpw+fPn4uxpkU+CMQQlyI59OnTBzt37sSQ\nIUMQHh4OkiXdJZ1y+PBheHt7Y/78+Vi1ahU8PT1RuXJljc4tXbo0nJyccOXKFbh5euK8sXG+MqYQ\nQolOBpAK4A8AuwD0VlJfjIkJ3GrWVNrWwrAw/F9aGmoAOAXgNYBpALoBeCAv0xTAegBlFM6rAmBc\nVhZiTpzA06dPNbouqVSqdYhLXaAqPGspANsB7IZwbfMBdMe/IVkVKUx41vbt2+Pvv/+Gra0tqlev\nDkMTE/wwZw6amppivkQCVbUlApgnkaCpqSnGzJmDwGHDtGpXREQdoiAWyUXDhg0RHR2NzZs3o0+f\nPkhPTy/pLhWZS5cuwdfXF8OGDcPYsWMRHR2Nli1bgiw41rQi2XGn+/Trh22A0pf2EghC2BFALwA/\nA/gsT5lEANtI9OnXL9/5CQkJ2LNvHwZDEOgV5Pv9ALgCuAjAAMC3ABoj/z9wPxJZMhm+uf/3AAAW\nPElEQVTmz5+v0TWVlCA2t7JCsopjNQAcB/AcwD4AtwHUV1IuGYCFjY32bZubY/78+di7dy8WLVqE\nTVu2YPGaNfgzIACVjI0xwMQEEQDWAYgAMMDEBJWNjXGuXTt0GzgQF06fLjCWuIiINoiCWCQf5cuX\nx6lTp5CZmYnmzZtrPLv60Lh79y569eqFdu3aoWPHjoiLi0PXrl0hkUgAADKZLOezJmQLYkdHR/i1\nbYtflZxrA2AbgLcA7kGYzeXlV4kE/u3awcHBId+xNZGRCJDXo0g8gJsAqhfQR1sAX5YqheU//4zM\nzMyCLglSqRSlSpUqsJyuUaVVAICrADIgDGjmAHgGoJ+Scuq0CppQt25dREdHo3379hgyZAjcatXC\n1Zs3UT00FLG9e2Ovvz9ie/eG5aBBaPXFFzh05AjerliBOuvXw2/3btRZvx5xU6bArWJF9OrcGTEx\nMYXui8h/nJLWjYt8uMhkMk6bNo3ly5f/qAxTnj9/zu+++462trYMCQnhmzdvlJZr0qQJT548qXG9\njx49op2dHaVSabEZ+ihbO80E6ANwmJL6yiusESuunTo7OnLz5s0FXlNYWBh/+OEHje+BrlDli02A\noyG4DFkAbAfwtpIyunYfunfvHv39/fnZZ5/leiZ0EfVLRKQgxBmxiEokEgkmTpyIn376CW3btsWG\nDRtKuktqSU1NxYwZM+Dh4YF3794hLi4OU6ZMgYWF8mSR2s6Iy5UrB2tra8TFxcHb2xuhc+bA19QU\ntzQ8/xYAX1NThM6Zg3r16iktk3ftlBBU3EYAFmnYjgUAl/LlsWTJkgLLlpRqWp1WYRYE9f0bAHsg\npO7MizqtQmFwdnbGzp07MW3aNPTo0QODBw/G/Llz8f0330CamoopJBoBWCUvnwmgK4TlAjsAdUmc\nSk1FeHAwlkdE6KRPIv8dREEsUiABAQE4cuQIxo8fjwkTJkAmk5V0l3KRlZWFlStXws3NDbGxsTh7\n9iyWLFkCJycntedRyzViAGjWrFlOfuLAYcMwRseGPnnXTgcCeAEgCoCm4jIZQNXPPsONGzfw119/\nqS1bUqppAAgaNw7hJiYaD2SyuQVglokJgsaN02l/JBIJunTpgr///htJSUkIDQ7GZqkUD5A/VzGQ\n32CuCoADqakICQ7GhQsXdNo3kU8bURCLaISnpyfOnz+PU6dOoXPnzkhOVmVq8/4giR07dsDT0xPr\n169HVFQUNm/ejKpVq2p0vrYzYuDfdeJsAocNw64TJwo09LkUEIBdJ04UaG2ruHY6FMA1CALAME+5\ndwCyzegy5Fs2MSYm8PDyQmBgIJYuXaq2vaysrBKZEQMoNq1CUbGysoKxTIYQiQRtAWSvZBOABILx\nmCqDuSoAfkhLw8KwsGLpm8gnSknrxkU+LjIyMjho0CDWqFGDd+7cKbF+/PHHH/z8889Zo0YN7tmz\nR6toUtnUr18/V0YlTbh79y4dHR2VtqdtIBVlZK+dXpH7CJtAiH1sLl8zzc7m5ILcKS/1IOSbVlw7\nffz4MW1sbNQGuhg/fjynTZum1T3QNZqGZ50F0N7QsNjXYfOuXxeUqzjvOr0Y/lJEW0RBLKI1MpmM\nP/30E52cnHj8+PH32nZcXBw7duzIChUqMDIyMid2cGHw9vbOiR+tDRUrVuQ///xT6HYLQpehF7t2\n7cpFixapbGvMmDGcMWNGsV2LpmgSnrWDjw+trKyKfQCoLOqXulzFygzmxIQQItogqqZFtEYikeCb\nb77BunXr0K1bNyxbtqzY23zy5AkCAwPRrFkzNGnSBDdu3EDfvn2LpFYtjGoayK+e1jW6XDsdMWIE\nli5dqjI4S0muEStSr149rN26FTcePMjnPlQ9NBQ3HjzAjkOHMH78eAwcOLBY7RRuXLmC+nn85yUQ\n1NAPISw5FIR3WhpuXL1aDL0T+RQp+f9AkY8WHx8f/PHHH+jQoQOuXr2K+fPnw8DAIF+5hIQErImM\nxI0rV/D29WuYW1nBzdMTffv3L9Dq9fXr15g1axZ+/vlnDBo0CDdu3IBNIYI4KIOFMNYCBEF89OhR\nDBkyRCf9yEvO2mlwMA6kpqKKBueoWjtt1qwZ9PT0cOzYMXzxxRf5zivJNWJlODg44PvRo1Ue//77\n7xEVFYWff/4Zw4cPL5Y+qIr6BQBZENaIC6IwUb9E/ruIM2KRIlG1alWcO3cOt2/fRps2bZCYmJhz\nLCYmBr06d4a7szP+CQnRKhBCRkYGFixYADc3Nzx9+hSxsbEIDw/XmRAGCj8jrlGjBvbs3o3BvXoV\nW4QlXVlkSyQSjBgxQqUrU0m5LxUWfX19REZGYvLkybh7926xtJFtuf4cwCYAKQBkAA4A2AjAR15O\nncFcYaN+ifxHKWnduMinQVZWFr///vucDE6FDYQglUq5bt06uri40N/fn1evXi22Pnt5efHSpUsa\nl1fMDdwDUJobuGdAAM+fP6+zPhYmtWVe3rx5QxsbGz58+DDfseHDh3Px4sU66+/7YtasWWzRogWl\nUqnO685eI34O9bmKXVQYzIlrxCLaIgpiEZ0SGRlJS3Nzmunp0UH+AnMHuFL+gjoHIa2dLUBHgN0A\nnoGQ0Sbom29Yq1YtNmjQ4L0YgdWsWZOxsbEalS3pCEtFtcgeOXIkJ06cmG9/YGAgIyIidNrX90FW\nVhYbNmxYLIMIdVG/NNlEq2kRbREFsYhOOX/+PB2NjLgXYJr8xXQNYGmAf0JI5fc7wGT58QEQUtzd\nBGglkXDmzJmFckUqDDVq1OCVK1cKLPcppMqLi4tj6dKlmZGRkWv/wIEDNU4F+aHxzz//0M7Ojrdv\n39Z53bq0XBcRKQhxjVhEpywMC8O4d+9yBUIA/g2E0AZAFwDm8uMjAZyBEAhhMoC/zp8v1LptYdBk\njTgmJgYhwcHonZqKHhD6PEDhuGKoQz0AJ/FhRlj67LPPUK1aNWzdujXX/o9tjVgRDw8PjB07tlis\nqD+0qF8inzaiIBbRGdkp/PrKXWVGADCDkAawLIB2Ss45gX8zCvUjsXvv3veWVo5kgYJ4YVgYxqSl\noRaASRBCTuZFVW7gDy3CkjKjrQ/FfamwjBo1Cunp6YjQcXznDzXql8iniSiIRXRG3hR+SyCkA/wD\nQGcIiQsUuQIh4f0c+XdbAAESCdZERhZ/Z1Gw+5LiwKITgA7yPiqiLjdw3/c8sCiIDh064P79+7h8\n+XLOvg/NfUlb9PX18csvvyAkJAR37tzRad2KluvzdBRLXEREGaIgFtEZ2gRCuAVhhrxIfjyb9xEI\nISEhAXNmzULS48cYM3y4SvcjVbmBNeV9DywKolSpUhgyZAiWLFmScw8unT6N5XPnftRJ7rNV1AMG\nDNC5ijo7lvjGatVQUV+/yLHERUSU8fHqpEQ+ODQNhHAfQGsAIQC+zlOuOAMhxMTEYGFYGPbs24fO\nAKakp8Pi+HEkAzgfFQW3kBD4tW2LoHHj4O3trXRgoS3eaWmI/YAiLNWrVw9zpk7FljVr0FkiQVB6\nOiwePEDypUtK78HHwqhRoxAVFYWlS5di5MiROq27Xr16MLa1xYp16/D44UPEXr2K5KQkWNjYoHrN\nmgjv109n6RhF/qOUqKmYyCdFdlL7BIAbAb4FKAW4H0LSgt0AHwOsDHCuCovTpQADe/fWed8K437U\nw9+f6/KUmQiwv4rzlcUcXgvQv0WLfNbKJUH2PZgrv9ZPLcn9tWvXaGdnx1u3bum03pcvX9LCwoKp\nqak6rVdEJBtxRiyiM9w8PXF+61Z8mZ6OCADDIEQkcgawEIAfgKkA7gKYIt+yU8u9kdcRY2KC6jVr\n6rRfyyMiEB4cjFMFhIu0ATCKRPvUVPgGB6Nc9eooarLHZADnL1yApaUlypcvD3d3d7i7u8PNzS3n\nc5kyZYrdUryw9wDAR6NudXd3x7hx4zBgwAAcO3asUOFLlXHgwAG0aNECJiYmOqlPRCQvElJFNHgR\nES1JSEiAu7Mz7qSnF2pdNRFAZWNj3HjwQGeqvpiYGLT6/HO4ZGbiBgRV+GqF45shDAgeA6gAYDqA\njhDWsBsZGKCRRIKd795BCsFVaSqARwBWQFjX0YcQ6lAGoKq87mb41zBtgIkJqoeG4pugINy5cwfX\nr1/HjRs3cP369ZzP/9/e/cdGXd9xHH9+SxCLJYpCZdFy4YdFxGJkPcXab+tM/EFhLjBRiR1xWyY2\nRGsyddPMMcwyMmhAHcyUZARBtiULLUhLpnNbuSut/Ii9maXSaxOkJqOl09qwcEXau/3x5b69Xlvo\nj7t+73qvR9J/rt+7fvttk9f38/l+3p/3hQsX7GCODOjbbruNadOGmuwf2TV47IEHBoTwD4CPgAAw\nC3iZ/qvCWwBz6lQOHTmSNKuAe3t7KSgoYM2aNTGboi4uLsY0zbjtLS6iIJaYKl61itwDB3hxFP9W\n2wyDT1auZG9UretYz2dKZSXfw9orOEBfEP8Hq/73EPAwcBirJvgMMANrJewbhsHpYJC3gY1Yo/ew\nDVi1z3OA1qifexqrVno4NxadnZ34/f4BAd3c3Mz06dMHBPSCBQtwuVzDLjsa6m/SCMzFqo32A4WX\nr8HdEcfE428Sb36/n/vvv5+PP/6YefPmjemzent7ufnmm2loaCArKytGZyjSn4JYYmqo0dfVxGP0\nFT1Cfx1r5BsO4uNYJUltEe/JxArme7FG6LPT0vh5MMgvRvHzxxpiwWCQL774YkBANzU10d7ezpw5\ncwaEdHZ2NjNmzLCnuoc7S9EEfAd4G3g84vV4zFKMh61bt3Lw4MExT1EfPXqU9evX4/P5Ynh2Iv3p\nGbHEVCxb+I3V1cqPcrE2G6nCKqV6H2t0uPjy928EHp88mS29vTzV0zPiG4vN6ekcGsMOS2lpabhc\nLlwuFw899FC/7wUCAVpaWuyAPnLkCDt37qSpqQnDMOxQ7mhv57FgcMhrsB7YjTVTsISBm65ElmBd\nqT1hoiktLWX//v3s2LGD559/ftSfU1VVxfLly2N4ZiIDKYgl5sKLe8yXXuKVQIBnQqFBg+ArYLdh\nsCU9nY1x2AjhauVHaVjPSddgtbObAvwFiFySc+/Fi5zOzeWRxsYR3Vg8nJ7OTzdsICsri7a2NkLW\nvu72FzDgtZEeYxgGt99+OwsWLLBfCwaDdHZ2cvr0aT7//HNOer089s03Q57rDmA7UA/UMHDTFUi8\nEqzhCG/0kZeXR1FR0ainqKurqykvL4/x2Yn0pyCWuHi2pIQlbjdvbdrEG4cPs9IwcAcCVp0w1uro\nylCIFUVFHHr11bgsBrpSXTNYC5Vewdof+m7gJNZU9V/pGxVPA3yffMLFtDS+Td82l0PdWPwBa8FX\n0DD47ZYtbC4rwzCMQb+AIb8Xq2O6vvzyitcA+jZd2Yu1SUX0EqdkbXKfnZ3Na6+9NupV1K2trZw9\ne5Z77rknTmcoYlEQS9zk5uayd/9+Ojo62LN797hvhBBu8D6Uf2EtUAovTsrFejb8EX1BfB546umn\nKd+zh5MnT/LWpk3MvcqNxUdxurEYjWeLizm/b9+wjo3cdCXSeSDjhhtieVrjprS0lIqKCrZv384L\nL7wwovdWV1ezbNmypN4CVJKDgljibubMmY48XwzXNf+ku5tLQC9W2FzE+sd3A5uxAvkuoAFrX+z1\nEZ8RWdfs9I3FaISvwXNRU/QdwD+AFVhT8X8D/nz5K5oHOHzwIF1PPklBQQGmaXLnnXfGrE43niZN\nmsSuXbvsKer584f/pL+qqoq1a9fG8exELFo1LRNWeMXwuu5uNjN46dHvgW3AOWAm1rTsi5ePSdYV\nw5GGWjX9X6zV0Z/St+lKKf1bPELfNfjQ46GxsRGPx4PX66Wjo4P8/HxM06SgoIAlS5ZwzTXXjMvv\nNBrbtm2jsrKSmpqaYd1AXLhwgVmzZtHa2soNSTobIMlDQSwTWqLVNTshHtegra0Nr9drf7W0tOB2\nu+0R89KlS7nuuuti9SuMWW9vL4WFhTzxxBPDmqKuqqqirKyMmpqa+J+cpDwFsUxoiVTX7JTxuAZf\nf/01dXV19ojZ5/ORk5ODaZqYpkl+fj433hjdRHJ8NTc3k5eXR319/VWnqEtKSpg7dy4vJ1HJliQv\nBbFMeOF9lkda1zyResuO9zUIBAIcO3YMr9eLx+Ph2LFjuFwue8Rsmia33HLLiD93rN58800qKiqu\nOEUdCoVwuVx88MEHLFy4cJzPUFKRglhSws533mGDw3XNTnPyGly6dAmfz2ePmGtra7n++uvtZ8ym\naTJ//vy4N78IT1GvXr2a0tJSwHqOvmf3bvyffsr/urq4FArxz7o6Gk+dIjMzM67nIwIKYkkh4fKj\nqquUH5UmUPlRrCXKNQgGg3z22Wf2iNnr9dLT02OPlk3TJCcnJy6lQ83Nzdx3332Ul5dTuW+f3Z/a\n3d1tX4vaSZOonjw5KXszS/JREEvKCZcf+SPKj7JzclibgOVH8ZJo1yAUCnHmzBk7lD0eD+fOnSMv\nL88eMefm5sZsZfaTq1fzYUUFvwyFhpwd6MSaHdg8QWdIJHEoiEUkIbW3t1NbW2uHs9/vx+1229PZ\nS5cuJSMjY8SfqzUDkmgUxCKSFLq6uqirq7NLphoaGrjjjjvsEXN+fj433XTTFT/jxIkTfLewkIJA\ngONYo955wG+AR4E/AuvoqznvxWqIUQk8N0FW0UviURCLSFLq7u7m+PHj9oi5vr6e2bNn28+YCwoK\nuPXWW/u9p3jVKhZXVtIN/BDIAqqxGn/8G5gd9TPeBX4NNDNx6sol8SiIRWRC6Onpwefz2c+Ya2tr\nycjIsEfMixYtoujBBwftzXwX8CtgZdTrD2L1aX6dibHTmiQmBbGITEihUIhTp07ZI+bqqioe7eri\nT1HHtQNzAB+QHfH6GWA+1jNi1+XXfpSezqKNG5OqN7MkvsTftV1EZBQMw2DhwoWsW7eO9957j9Ur\nVlAYdUwPUAw8Q/8QBtgDmPSFMFi9mf1J1ptZEp+CWERSQnR/6hBWCE8BfjfI8XuxAjpSsvZmlsSm\nNogikhKi+1P/GKsL1WEgetuQo8BZ4PtRr58Hpk0frOpYZPQ0IhaRlJC9eDHHr70WgOeAU8D7wGBb\nhLyLFcLR/aNOpKeTfbk/tUisaLGWiKSEcG9mT3c3dwHX0jcSNoByrDKmi8C3gArggYj3a9W0xIum\npkUkJWRmZrJ82TL+fuAAwSuMP6ZghW60dw2DFUVFCmGJOY2IRSRlqD+1JCI9IxaRlOF2u9lYVsYj\nU6fSMsz3hPea3lhWphCWuFAQi0hKebakhJ+VlWFOnco2w2CoYqSvgK2GgamGDxJnmpoWkZSUKL2Z\nRRTEIpLSEq03s6QeBbGIiIiD9IxYRETEQQpiERERBymIRUREHKQgFhERcZCCWERExEEKYhEREQcp\niEVERBykIBYREXGQglhERMRBCmIREREHKYhFREQcpCAWERFxkIJYRETEQQpiERERBymIRUREHKQg\nFhERcZCCWERExEEKYhEREQcpiEVERBykIBYREXGQglhERMRBCmIREREHKYhFREQcpCAWERFxkIJY\nRETEQQpiERERBymIRUREHKQgFhERcZCCWERExEEKYhEREQcpiEVERBykIBYREXHQ/wGg9sY7cM0F\nmwAAAABJRU5ErkJggg==\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "#with_labels: 节点是否带标签(默认为False)\n", "nx.draw(G, with_labels=True)" ] }, { "cell_type": "code", "execution_count": 17, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAeIAAAFBCAYAAACrYazjAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nwXDMAAAAAElFTkSuQmCC\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "#font_size: 节点标签字体大小 (默认为12)\n", "nx.draw(G, with_labels=True, font_size=18)" ] }, { "cell_type": "code", "execution_count": 20, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAeIAAAFBCAYAAACrYazjAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "#font_color: 节点标签字体颜色(默认为黑色)\n", "nx.draw(G, with_labels=True, font_size=16, font_color='g')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 1.3 节点布局\n", "节点布局指定节点排列的形式" ] }, { "cell_type": "code", "execution_count": 21, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAeIAAAFBCAYAAACrYazjAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "pos = nx.circular_layout(G) #circular_layout:节点在一个圆环上均匀分布 \n", "nx.draw(G,pos)" ] }, { "cell_type": "code", "execution_count": 22, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAeIAAAFBCAYAAACrYazjAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "pos = nx.random_layout(G) #random_layout:节点随机分布 \n", "nx.draw(G,pos)" ] }, { "cell_type": "code", "execution_count": 24, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAeIAAAFBCAYAAACrYazjAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "pos = nx.spring_layout(G) #spring_layout: 用Fruchterman-Reingold算法排列节点,默认布局方式 \n", "nx.draw(G,pos)" ] }, { "cell_type": "code", "execution_count": 25, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAeIAAAFBCAYAAACrYazjAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nDACAQQQxAAAGEcQAABj0P9hH1WW5Vp1AAAAAAElFTkSuQmCC\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "pos = nx.spectral_layout(G) #spectral_layout:根据图的拉普拉斯特征向量排列节点 \n", "nx.draw(G,pos)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# 2. 读网络和保存网络" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 2.1 读取网络数据" ] }, { "cell_type": "code", "execution_count": 26, "metadata": { "collapsed": true }, "outputs": [], "source": [ "# 连边对数据可以直接读取来生成网络\n", "G = nx.read_edgelist(\"karate.txt\")\n", "G = G.to_undirected() " ] }, { "cell_type": "code", "execution_count": 27, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAeIAAAFBCAYAAACrYazjAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\nAAALEgAACxIB0t1+/AAAIABJREFUeJzs3Xdc1dX/wPHXFZR7URBliIoi7gXu0XCVWzTBlSvF0tS0\nrEgt+6aWhZNSHGlp5iotc2CYpalZYYALNQtnjlKcqAwZ9/3743MhxgUu236e5+NxH3o/65x7G+97\n1vvoRERQFEVRFKVElCrpCiiKoijKo0wFYkVRFEUpQSoQK4qiKEoJUoFYURRFUUqQCsSKoiiKUoJU\nIFYURVGUEqQCsaIoiqKUIBWIFUVRFKUEqUCsKIqiKCVIBWJFURRFKUEqECuKoihKCVKBWFEURVFK\nkArEiqIoilKCVCBWFEVRlBKkArGiKIqilCAViBVFURSlBKlArCiKoiglSAViRVEURSlBKhAriqIo\nSglSgVhRFEVRSpAKxIqiKIpSglQgVhRFUZQSpAKxoiiKopQgFYgVRVEUpQSpQKwoiqIoJUgFYkVR\nFEUpQSoQK4qiKEoJUoFYURRFUUqQdUlXQFEUJT+io6NZs3o1UZGR3I+JoVz58tT18mKEnx/Ozs4l\nXT1FsZhORKSkK6EoimKp8PBwFgYE8O3OnfgCrRISsAPuAWEGA1tE6NWjB6+8+SatWrUq4doqSu5U\nIFYU5T9jxbJlTPf3Z0p8PCNEqGDmmtvAap2OuQYDM+fPZ8y4ccVdTUXJExWIFUX5T1ixbBlz/P3Z\nFRdHbQuuPwN0s7VligrGykNOBWJFUR564eHh9OnYkT1xcQQCu9FavrWAD4DuwF+AB1AOEEAHvAB8\nYWtL8P79tGzZsmQqryi5ULOmFUV56C0MCGBKfDw1gOrAASAGeA8YCFw0XaczHb8H3AUCgcnx8SwM\nCCj2OiuKpVSLWFGUh1p0dDT13N05l5Bgdky4CTADaI7WIk4CrNKdvwXU0uuJunhRzaZWHkqqRawo\nykNtzerV+IDZIHwNiAIam97rIK3VPAq4CVQEfHQ61qxeXeR1VZT8UIFYUZSHWlRkJK0TErIcTwaG\nAX5AHcAJCEcbKz6E1j091HRtq/h4oo4fL5b6KkpeqYQeiqI81O7HxGCX6ZigBWEbIMh0rCxa9zSA\nM7AYqAzEgrbO+Pbtoq+souSDCsSKohSJwsp8Va58ee5lOvY8cAMIIeN4cGY6wIjWOrarYK5zW1FK\nnuqaVhSlUIWHhzPM15d67u6cmj6d5uvX02vHDpqvX8/vM2ZQt3p1hvn6Eh4ebtHz6np5cdDGJu39\nWOAPYDtQJt11YWjjxYI2NvwK0AmtNRxuMFDX07NQPp+iFDY1a1pRlEJTmJmvUlJSCAkJYf78+YT/\n9BNX0Fq2NQA9/7aEdcBy059vAdcBe6ALMBet20/NmlYeZqprWlGUQpGa+epALpmvKgCvitA7Lo5u\n/v4AGYLxnTt3WLVqFYsXL8bZ2ZmXX36ZKg4OfB4czCQRjDk8+1kzxz7U6fDu2VMFYeWhpVrEiqIU\nmCWZr9J7F23t7+fAZFPmK1tbW4KCgvjyyy/p1asXEydOpE2bNhmen1uQz+wM0E5l1lIecqpFrChK\ngZnLfFUN+BYt89UJ03GAc8DXQBWgKvBGfDz9e/bkgZUVY8eO5dSpU7i6umZ4fqtWrZg5fz7d8phr\nur1OR7vu3VUQVh5qarKWoigFEh0dzbc7dzJCBFvgHbQgDNALLdvVoXTXv4Q2dlva9H6kCLfu3CEi\nIoLp06dnCcKpxowbx5T582lna8uHOh3ZLUa6BQTqdLSzteXlWbOIOHKEpUuXFvRjKkqRUYFYUZQC\nsSTzVSPT+6/QJlql76quCPS3tubLDRtyLWvMuHEE79/PYR8fPMqUYYhOxzJgHbAMGGUwUEuv54iP\nD8H79zP1rbfYs2cPs2fPZtWqVQX4lIpSdFTXtKIoBWJJ5qu6aDOepwF7zDyjVXw8Ry3MfNWyZUvW\nbt7Mu+++y66dO7GrU4d7t29jV6ECjTw9mTNyZIaJWR4eHuzevZtOnTqh1+sZMmRI3j+kohQhFYgV\nRSkQSzNfzQSe499u6/Tyk/kqPDycV159lYEDB+Z6bd26dfn+++/p3Lkzer0eX1/fPJWlKEVJBWJF\nUQrE0sxXe4ArwBLT++toE7mmoO0hnJfMVykpKRw4cICVK1dafE+jRo0ICQmhe/fu6PV6evbsafG9\nilKU1BixoigFUtfLizC9Pu19dpmvfkSbPX3M9KoCrECbvJXXzFdHjx6latWquLi45KmuzZo1Y/v2\n7YwcOZLdu3fn6V5FKSoqECuKUiDPjRzJFrR1wxfRgutRoBJal7M98AXaZC6XdC9rwAFIALaI8NzI\nkRaXuXfvXjp27Jiv+rZp04bNmzczZMgQDhw4kK9nKEphUoFYUZQCcXFxoVePHnyu01EdbZOFOLTJ\nWfeAu8BgM/edA54CPs9H5qt9+/bRqVOnfNe5Xbt2fPHFF/Tr14/ffvst389RlMKgMmspilJgxZn5\nKjk5GScnJ6KiovLcNZ1ZSEgIfn5+fPfddzRr1qxAz1KU/FItYkVRCiwt85WtLWcsvOcM0M3Wlpnz\n5+cp89WRI0dwc3MrcBAG6NmzJ8uWLaNHjx6cOHGiwM9TlPxQs6YVRSkUqRs3tPP3Z3J8PCOz2X3p\nFrASmGdjw6wcdl/KTkG7pTPz9fUlISGBbt26sXfvXurWrVtoz1YUS6iuaUVRClVERAQLAwLYERKC\nj05Hq/h4bZ0w2uzoLSK0btmS42fPcvbsWQwGQ56e36tXL0aNGkW/fv0Ktd6fffYZ06dPZ//+/Xh4\neBTqsxUlJyoQK4pSJK5fv86a1auJOn6cOzdu8O2uXcyYPZsRpsxXAwYMoFGjRsyYMcPiZyYnJ+Po\n6MjZs2dxcnIq9DovXbqU+fPns3//fqpVM5d6RFEKnwrEiqIUC0dHR/7444+02dEXL16kWbNmRERE\nWNwCDQsL44UXXiAyMrLI6hkYGMjHH3/M/v37qVy5cpGVoyip1GQtRVGKhZubG5cvX057X716dV59\n9VVee+01i5+xb9++fK8fttRrr73GiBEj6Ny5M9evXy/SshQFVCBWFKWYZA7EAP7+/kRGRrJr1y6L\nnlGQRB55MW3aNPr27UvXrl25nccc2IqSVyoQK4pSLNzc3Lh06VKGY3q9no8++oiXX36ZxMTEHO9P\nSkril19+oUOHDkVZzTSzZs2iU6dOdO/enbt37xZLmcqjSQViRVGKRbVq1bK0iAG8vb2pXbs2Cxcu\nzPH+w4cP4+HhgaOjY1FVMQOdTseCBQto0aIFvXr1IjY2tljKVR49KhArilIszHVNgxbwPvroI+bM\nmcPff/+d7f179+4t1PXDltDpdCxevJg6derwzDPPEB8fX6zlK48GFYgVRSkW2QVigDp16jBmzBgm\nT56c7f3FMVHLnFKlSvHJJ5/g4uJC//79c+1CV5S8UsuXFEUpFn/++Sfe3t6cPn3a7PnY2FgaNGjA\n+vXradeuXYZzSUlJODo6cuHCBSpWrFgc1c0iKSmJQYMGAbBx40ZKly6ddi46OlpbMx0Zyf2YGMqV\nL09dLy9G+PnlaTMLSxRnWUrxUIFYUZRicf/+fZydnYmLi0On05m9ZuPGjXzwwQccOnQIa+t/M/CG\nhoYyfvx4jhw5UlzVNevBgwf4+PhQvnx51q1bx+HDh1kYEMC3O3fiC7RKSEjLIhZmyiLWq0cPXnnz\nTVq1alWgssPDw4utLKV4qUCsKEqxqVChAmfOnMl2wpWI8NRTT9G/f39eeumltOMBAQFER0fz4Ycf\nFldVsxUfH4+3tzcJcXGci4xkSnw8I7LJq30bWK3TMddgYGY+8mqnWrFsGdP9/YulLKUEiKIoSjFp\n3LixHDlyJMdrjh8/Lk5OThIdHZ12rGvXrrJ169airp7FAufPF1uQqiD2IM1AdoIIyO8gLUEqgFQE\n6WI6V9PWVpYvXZrnspYvXSo1bW3ltOn5ub1OF6AspWSoyVqKohSb7JYwpde4cWOGDh3KtGnTAEhM\nTCQ0NJT27dsXRxVzFR4ezpz//Y8XgFAgBngPGAhcBKoAm9B2mboB9AamALvi4pju709ERESeynrn\n9ddpERdHZ6A80Bz4znT+N6Ar4AhUAgYB5fJZllJyVCBWFKXY5DRzOr0ZM2YQHBxMREQEERER1K5d\nmwoVzHXIFr+FAQFMTUhgIZC6LUQvwAM4hBYsUzNnp6D9T/YsUBuYHB/PwoCAPJX1Wnw8jYEDZA36\nt4EXgb9Mr3KAXz7LUkqOGiNWFKXYvPvuuyQmJjJr1qxcr/3ss89Yvnw5vXv35ubNmwQGBhZDDXMW\nHR1NPXd3ziUkZBinvYYWfI8CqbsZVwBiASNa8HwTrZVcS68n6uLFXGc4Z1cWQBNgBuCT6fgRoCNa\nwM5LWUrJUi1iRVGKTbVq1bKkuczOiBEjANiwYUOxJ/LIzprVq/GBDIExGRgGjOTfIAxaazUGWIwW\nOAEqAj46HWtWr85XWaAF/dNAIzP37E93PC9lKSVLBWJFUYqNpV3ToCXSCAwM5NSpU3h5eRVxzSwT\nFRlJ64SEtPeCFoRtgCAz1xvQuo6fQxsvBmgVH0/U8eN5LguyD/oAkWgt7/npjllallKyVCBWFKXY\n5CUQg7acqWLFig/FsiWA+zEx2KV7/zxagP0GsMrmnhQgDrhiem8H3LNgR6fMZeUU9M8APU3HH093\n3NKylJKlArGiKMUmNRBbOjVl7969DBw4kA0bNnDixIkirl3uypUvzz3T38cCfwDbgTLprtmNNlZs\nBO4Cr6F1Ezcwnb8H2Fkw8Sx9WZB90P8L6AJMB4ZkeoalZSklyzr3SxRFUQqHnZ0dpUuX5vbt2xal\nqty3bx+TJk2iYcOGTJw4kR9//DHbrFzFoa6XF2GbN9MzIYEVgB5t2RCADlgOlAYmorWADUBrtOVG\nqcE6tEwZGjdsaHFZYxMS0oL+bjIG/SvA06byRpt5RrjBQCNPzzx+yvxRqTfzT82aVhSlWDVu3JgN\nGzbkOu774MEDnJycuHz5MmXLlqVFixZMmzaNgQMHFlNNs4qOjqaOmxsXkpLMZrfKzS2gmk6HnYsL\nY8eOZcyYMVSpUiXbsuq5u/NTQgJN0IJ+aks4NeifBmYCZU3HxXTuLsU3a1ql3iw41TWtKEqxsnSc\nOCwsjPr161O+fHmsra0JCgri9ddfL7F9ge/cucO0adMobWXF6ny2yj/X6fD18WH37t1ER0fTuHFj\nBgwYwL59+7J017u4uNCrRw/26HQY0caZ75led4HBwDtoY9B3Ta/Uc6lleffsWaRBeMWyZfTp2JGW\nW7dyLiGBlabW+1C0rvtV8fGcS0igxdat9OnYkRXLlhVZXf7LVCBWFKVYWbqEKfO2h+3bt6d9+/Z8\n8MEHRVg787Zv307jxo2xtrbmq5AQ5hoMnMnjM84Acw0GXnnzTRo3bszSpUu5cOECHTt2ZPz48TRu\n3JglS5Zw9+7dtHteefNN5hSwrKKyYtky5vj7cyAujknZ5L8GbfnVqyIciItjjr+/CsbmlGB6TUVR\nHkEzZsyQt99+O9frnnrqKdmxY0eGY5cvXxZHR0c5ffp0UVUvg+joaBk0aJDUqlVL9u7dm3a8sPM/\nG41G2bt3r/Tv318qVKgg48ePlxMnThSorHlz5si8OXNk9NChMtjbW0YPHSrz5szJkMM7v8LCwqSS\nwSADQNzN5NsWkDiQcSBOIA4gHUx1c7W1lfDw8ALX4f8TFYgVRSlWn376qYwcOTLHaxISEqRcuXIS\nExOT5dycOXOkV69eRVU9EdEC4/r166VSpUri7+8vsbGxWa5ZvnSpuNraSqBOJ7eyCYo3QRbodOKa\nh00YLl++LNOnT5fKlStLhw4dZOPGjbI0KEhc9HqZB7mW5WhjI483aSIOer2M0utlGcg6kGUgfgaD\nOOj1MtTHR8LCwvL9/Qz18ZE5IDNBLprK3wFiB/KX6f1QkMGmehlBDpuOB+p0MszXN99l/3+kArGi\nKMVq165d0rlz5xyv2b9/v7Rq1crsuQcPHkjdunUlODi4KKonly5dEm9vb2ncuHGuwSo8PFyG+fqK\ng14vfgaDLAVZC7IUZKReLw56vQzz9c1XCzAxMVE2bdokHTp0kMqVK0vt2rXFrWJFKWdllaWs1ADb\ntmlTcdHr5cMcfhzcMgXDvPw4SO/atWvioNebfb4XyDcgf4CUB7mXzQ8GB72+UFrm/1+o5UuKohQr\nNze3XMeI9+7dm2F8OL0yZcqwaNEiXnrpJTp37oxery+UeokIn3zyCdOmTWPChAls3ryZMmXK5HhP\ny5YtWbt5M9evX2fN6tV89c03XL1yhbuxsfgMHkzU9On5nixVunRpBgwYwIABA/jpp5/o0qULycnJ\nPP7449g0bMiRuDju37mDXYUKNPL0pBGwdMYMfklIoHYOz00ds+0dF0c3f3+APO1dbEnqzd+A6miT\nydai7Ug1HfAlY+rN1994w+Jy/z9Tk7UURSlWliT12LdvX475pbt164anpycLFiwolDqdPXuWp59+\nmpUrV7J3716mT5+eaxBOz9nZmdffeIMXJk6k6ZNP0sPXlwYNGxbajOUDBw7wzDPP4OjoyLPPPstP\nP//Mz4cO8Xi3bsxbvJj2HTsyb/r0bLdLBPgUqAPYo2XhKkv+tku0JPXmZeAEWrD+By3j1wjgT9P1\nKvVmRioQK4pSrOzt7SlVqhQxMTFmzyckJBAeHs4TTzyR43MCAwMJDAzk4sWLgLbudv7cuYwZNowh\nvXszZtgw5s+dy/Xr17N9RkpKCoGBgbRp04ZevXrx66+/0rhx43x/Nr1eT0JCAs2aNePw4cP5fk56\nSUlJLFu2DHd3d/r06cNLL73EiRMnWLZsGT/99BPu7u74DRzIqzlsl7gPmAYEo60vroG2/Cmv2yWK\nCDejo3NNvWlASzzyNlrWqPZAJ+B703mVejMj1TWtKEqxS13C5ODgkOXcwYMHadSoEfb29jk+w8PD\ng4kTJzJq1Chc7e3NJ5T45hvqTp9uNqHEyZMnGTVqFLa2thw8eJDatXPq0LVM+kC8cuXKAj8PYMuW\nLdSqVYtDhw4xadIkAHQ6HR06dKBDhw5ERkbyRIsWjCFjd3H6PZJ/BQYA9U3n/gdUBc4DI0R4NySE\n69ev4+zszO3btzl//jwXLlzg/Pnzaa8LFy5w4cIFyiQn0yVdOampN0P4N+FIaqqW1AQjpPsTVOrN\nzFSLWFGUYpdTUo/cuqXTc6pYkYgff6RFHhJKJCYm8u6779KxY0eef/559uzZUyhBGLRAHB8fj5eX\nF6dOnSIxMbHAzwwKCsLPz4+IiAg6d+6c5fz3333HAGvrPG2XaDT9eQJtzLZnYiJNmzTBwcFBa2H7\n+bFmzRouXbpEnTp1ePHFF/niiy/4559/mPbee4SZxuWzy7fdHm2MOAAt4cgvaK3ybqbz4QYDdYsp\n9eZ/QsnOFVMU5VE0atQoWbFihdlzHTp0kJ07d+b6jPysr62h14tblSrSq1cvuXTpUmF/LPnll1+k\nbdu2IiLSoEEDOXLkSIGed/jwYalWrZqsXbtWvL29zV4zeuhQWZbpsyaBdDat4xWQ3SAuIMdN63vH\ngFiBfGk6vxSkX8+ecvPmTTEajTnWKXXWdCSIDsQAUs70sgPZYHrm7yCPmY43AtmmZk1nS7WIFUUp\ndtWqVTPbIo6PjyciIiLX8eHw8HDeef31bCcnbUAbh7Q3vcqiTSL6KCGBBzduMH36dNzc3ArvA5mk\ndk0DNG/evMDjxEFBQYwbN45vv/2WPn36mL3Gku0SnwZmoM1arml62QGp34AdUKZUKSpWrJjrphou\nLi706NqVHyDb1Jug7Tb1q+n4CSC19sWRevO/RgViRVGKXXZLmA4ePIinpyd2dnZm7vrXwoAAXsth\nctIQ/g0Md4GlQC3gGeDNpCQWzZ5diJ/mXwaDIS0QN2vWjCNHjuT7WTdu3GDLli2MGDGC7777Dm9v\nb7PXWbpd4jggCm0Wsy/aTOfUaWl5GbM9d+4cR0+fZpaV1UOZevO/SAViRVGKXXZjxJnzS5sTHR3N\ntzt3MhptnWo10/H0k5My+xx4zvT3ESLsME1OKmzpW8QFDcSffvopffv25dSpU9StW5fKlSubva6u\nl1euY7YPgJOmv18ExgCT0HoSwPIx26+//pq2bdsyZswYAoKC6GZra3EwPgN0s7Vl5vz5tGzZ0sK7\nHhEl3TeuKMqj5/jx49KgQYMsx9u1ayffffddjvfOmzNH/PT6LGPAV03jlX9mOn4BxNr0Z+oxP4NB\n5s+dW+if6++//xZXV1cREbl165aUK1dOkpOT8/ycpKQkqVatmhw6dEheeeUVee+997K91pIx2zum\nrFflQCqDTDOlnbR0zDY+Pl7Gjx8vHh4eGbKNFVWaz0eNahErilLszI0Rx8XFcfjw4VzHhy1JKJHe\nGqAd4J7uWFEllEidNQ1QoUIFnJycOHMmrx24sG3bNqpXr06zZs3Yvn17tuPDYNl2ieWBY6ZjfwOz\n+Hc5UW5jtlFRUbRt25bo6GiOHDmSYQnYmHHjCN6/n8M+PtTU6xllMLAMWAcsA0YZDNTS6zni40Pw\n/v15yuD1KFHriBVFKXb29vaICDExMZQvr3WQHjx4EC8vL8qVK5fjvZZMTkpvLVpiifSKKqFE+q5p\n+HfCVr169fL0nKCgICZOnMjJkycxGo145tJt/Mqbb9Jn1y684+JyTG+ZWeqYbXA2Y7br169n0qRJ\nvPfee7z44otmJ3JlTvN59Phx7t2+nZZ6c87IkWpiVi5UIFYUpdjpdLq0ceLUQJxTfun0spuclD6h\nRKpf0CYn9ct0vKgSSuj1ehITExERdDpd2jjx4MGDc7/ZJDIyktOnT+Pr68u8efPo06dPrjOZW7Vq\nxbMvvEC7RYs4ABYF45zGbOPi4pg4cSI///wzu3fvpkmTJrk+LzXNp5J3qmtaUZQSkbl72tJEHpZM\nTkr1OVoQLpvpeFEllNDpdJQpU4YHDx4A+ZuwlbpkqXTp0gQHB9O7d+9c7zl37hzrNmzgrl7PE3o9\nH+p0ZNfevwUE6nS0s7Vlyvz5WbqLT548SatWrXjw4AEREREWBWGlgEp6kFpRlEeTn5+ffPLJJyIi\nEhsbK2XLlpX79+/nep+lCSUSQCqA7C3mbfjKly8vt2/fFhFt8lbFihVzTZKR6ubNm+Lg4CDXrl2T\nf/75R8qXLy8PHjzI8Z579+5Jo0aNpG7duhIQEJDj1oyp2yWa25rRaDTKypUrxcnJSVatWmVxnZWC\nU13TiqIUu+joaC5dvMinERH8uG0b9+LjcXZyIi4ujrJlM7dfM0qbnLR1K8YcdnCyQWv9ZVbUCSXS\njxNXrlyZ0qVLc+nSJapXr57rvStXrqR37964uLiwcuVKunXrluMuUCLCyJEj09Zd+/v7Y21tnecx\n23v37jF27FiOHTvG/v37adiwYQG+ASXPSvqXgKIoj46wsDAZ6uMjDnq9PFe6tCwDWQeyDGSYtbU4\n6PUy1McnwxKZ7J7jmof0lunTXLra2mZpDRYmd3d3OXfuXNr7Hj16yJYtW3K9Lzk5Wdzd3dM+e58+\nfWTdunU53vPee+9JkyZNxNHRUf7888981ffIkSNSp04deeGFFyQ2NjZfz1AKRgViRVGKReqa0w9z\nWHN6CyTQwjWn+ck1XbMY1rLWq1dPfv/997T3b731lrzzzju53rdly5a0PNVxcXFiZ2cnN2/ezPb6\n7du3S5UqVaR58+ayaNGiPNfTaDTKkiVLxMnJSdavX5/n+5XCowKxoihFrqiCpqUJJebrdFLRykqa\nNWmSrwQbedG0aVM5fPhw2vuvvvpKevfunet9Tz31VFpADA4Olg4dOmR77e+//y7Ozs4ybtw46dSp\nk6SkpOSpjrdv35Z+/fpJ06ZNJSoqKk/3KoVPzZpWFKVIhYeHM93fH8+4ONoBDmj74qbu1puEtleu\nB9oyjp/Qlt/siotjur8/ERER2T47LaFE375UBfz0erMJJY76+LDjwAHKV6jAG0W8xCa7tcQ5OXny\nJL///jv9+/cHyDGJx507d+jbty8TJkzgq6++4rPPPqNUKcv/Vx4WFkbz5s2pXLkyoaGh1KlTx+J7\nlSJS0r8EFEX5/22oj498qNPJSZB4Uyv1TxBXkMMgiSALQX4BqQKyP11rNlCnk2G+vrmWERUVJVWq\nVJH5c+fKmOHDZbC3t4wZPlzmz52bYXb0rVu3pH79+hIUFFRkn7djx47y448/pr03Go1Svnx5uXbt\nWrb3vPjiizJ9+nQREUlJSRFXV1ezLdXk5GTp0aOHjBs3Tpo0aSIrV660uF5Go1EWLFggzs7Osnnz\nZss/kFLk1KxpRVGKTOoGDUEiGTauF7QUi2eBZsDLpuOZ23UjRHjXtEFDTrOcQ0NDefLJJ3NNKFGh\nQgVCQkJ44okncHd3t2iNbl6lT3MJZEjs0a1btyzX3759m40bN/L7778DcOjQIRwcHMy2VN9++23i\n4+NxcHDAzc0NPz8/i+p08+ZNRo4cSXR0NL/99hseHh75/HRKUVBd04qiFJk1q1fjA2lB+CW05BoN\ngCpAz1zurwj46HSsWb06x+tCQ0N5/PHHLaqTh4cHW7duZdSoURw6ZG6vpoLJ3DUNOSf2+Oyzz+jZ\ns2fa7krZdUtv3LiRL774gqlTp7Jy5Uo++eSTXDNuAfz88880a9aMevXqceDAgVyDcHR0NPPnzmXM\nsGEM6d2bMcOGMX/u3CLZrUoxKekmuaIo/3+NHjpUlmWaPGU0dUO/D5Kc6Zxbpq5pMSWiGDN8eI7l\nNGnSRH777bc81e2bb76RKlWqyIULFwryEbMYPHhwllnIa9eulYEDB2a5Njk5WTw8PCQ0NDTtmJeX\nl/z8888Zrjty5Ig4OTlJaGio1KtXT7788stc65GSkiIffPCBVKpUSYKDg3O9Pv3SslF6fYalZamJ\nQCxZWqbknWoRK4pSZDJv0ABal/TjwCW0CVW5yW2Dhnv37nHmzBmaNm2ap7r5+Pjwxhtv0KtXL2Ji\nYvJ0b04dYRAlAAAgAElEQVSyaxGbm7AVEhKCo6Mjbdq0AeCvv/7in3/+oW3btmnX3LhxAx8fHxYv\nXszGjRtp2rQpgwYNyrEO165do3v37oSEhBAREYG3t3eO169Ytow+HTvScutWziUksDIhgbHAULQ0\noqvi4zmXkECLrVvp07EjK5ZZ8k9OsZQKxIqiFJnMGzSkl4w2Rpyb3DZoCAsLo2nTpjlmoMrOK6+8\nQqdOnejXrx+JiYl5vt8cc4G4Xr16/P3339y9ezfD8aCgIF5++eW0Lubg4GB69uyJlZW2fUVSUhID\nBw5k0KBBVKpUiU2bNrFkyZIcy//xxx9p3rw5rVu3Zu/evbi5ueV4/Yply5jj78+BuDgmZRrLT68C\n8KoIB+LimOPvr4JxIVKBWFGUIpO6QcN1YCMQCxiBXcCXQGfTdYlAauh6YHqlOlimDLUbNcq2jNDQ\nUB577LF81U+n0/HRRx9ha2vL2LFjkRxSZlrKXCC2trbG09OTo0ePph07deoUkZGRDBw4MO1Y5vFh\nf39/9Ho9U6dOxc/Pj+XLl+Po6Gi23JSUFKZPn86wYcNYvXo1s2bNwto65/m4qUvLhsfFMRjQA6My\nXbMJaIi2p3Fj4CSWLS1TLKcCsaIoRea5kSPZAsSgdUNXQ5uANRlYCPQyXVcPbRLX30B3wBa4iJYr\n+uukJGbPncsLL7zAzp07s7Rc8zJRyxwrKyu++OILIiMjef/99/P9nFSZZ02nyjxha/HixYwePRob\nGxsAYmJiCA0NpWvXroA2iWvnzp1s2LCByZMn89RTT2XbxXzlyhWefvppfv75Zw4fPkyXLl0squvC\ngACmxMfTFPgf2paS6f0NDAc+QvtnOBcYgrYWfHJ8PAsDAiwqR8mZCsSKohSZ1A0aduh07EMLrHeA\nY2RseZ0HUjK9qgOfAWVKl6Zt27bY2dnx/vvv4+rqyvDhw9m2bRuxsbEcPHgw3y3iVGXLliU4OJhP\nP/2U9evXF+hZ5lrEkDGxR0xMDF988QVjx45NO79r1y6efPJJypUrx2+//caUKVPYtm0boaGhfP/9\n93z44Ydmy/vuu+9o0aIFnTt35vvvv8fV1dWieqYuLRshQl+gD9qPpPQuo3VJdzW974n2g+ks2tKy\nHaalZUrBqECsKEqReuXNN5ljMHAmj/edAebb2rLthx/o0qULmzdvpnTp0gQFBdGmTRsWLlxI5cqV\nSUhI4MCBA9y/f79A9axcuTI7duzg1VdfZf/+/fl+jsFgMBuI07eIV69eTdeuXalatWra+eDgYPr0\n6cM///xD//79+fTTT6lUqRKjR49m1apV2NvbZ3heUlISU6dOZfTo0WzatIm33347bWzZEpmXlpnT\nEm2p2Q60IYWtaN3XXli+tEyxQAnP2lYU5RHw8dKl4mZtnadc01WtrGRxus0MEhMTZe3ateLp6Sme\nnp6ydu1aWbBggbRq1Uq6desm9vb20rdvX1m7dq3cuXMn33X94YcfxMXFRf7444983b9o0SKZMGFC\nluPx8fGi1+slNjZWateunWGJUlJSklSsWFHOnDkjbdu2lXfffVdERIYMGSITJ07M8qwLFy7IY489\nJj169Mj3vsrmlpa9DeKX6dhK017P1iBlQULyuLRMyZ1qESuKUuQSk5MRZ2faGQx8qNOR3WKkW0Cg\nTkc7W1tcPT3ZuWsXDx5oU7dKly7NsGHDOHbsGHPnzmXVqlW88847uLm58fXXX3PhwgX69u3Lpk2b\nqF69Or169WLVqlXcvHkzT3Xt3Lkzs2fPpmfPnkRHR+f5s2bXNa3X66lbty4rVqzAzs4uw7j2L7/8\ngru7OwEBAVSuXJlp06bx9ddfEx4ezuzZszM8Z9u2bbRu3RpfX1927NiR732VzS0ty2w32nj+T2g5\nwfehjSNHms7ntrRMsYwKxIqiFKndu3fz/vvv89PPPxP8008c9vGhpl7PKIPB7AYNR3x8CN6/n9Cw\nMAwGA/369UsLxqDNdO7evTs//vgjlSpV4u7du9SoUYMFCxbQvXt3tm/fzuXLlxk+fDghISHUrFmT\nLl268PHHH3Pt2jWL6uzn58eQIUPo06eP2YlXOclushZo3dOffvpphiVLoHVLu7q6cvDgQT7//HOu\nX7/OhAkT+Pzzz7G1tQXgwYMHTJo0iVdeeYVt27bh7++fp80eMstpaVmqY0AHtDSkoHVVt0EL0JD7\n0jLFQiXdJFcU5f+vqKgocXFxkb1792Y4Hh0dnesGDSJad/SAAQOkZ8+eEh8fn+HcnTt3pFy5cpKY\nmCinT5+WsWPHioODg7z44oty+vTptOtiY2Nl8+bNMmTIEHFwcJD27dvLwoUL5dKlSznW3Wg0ypAh\nQ8TX1zdP2wxu2rRJ+vXrZ/bctGnTRK/XZ/gsRqNRqlatmtY1bTQapU+fPjJ16tS0a86cOSMtWrSQ\nvn37yq1btyyuizlxcXGyfv16qe7mJs+aupiTTRtyvAkyHCTBdGw/iAvIUdN1h0GcQH4wvfczGGT+\n3LkFqo+i9iNWFKWI3LlzR+rXry/Lli0r0HNSg3GPHj0yBLBdu3ZJ+/btM1x79epVefvtt8XJyUn6\n9++fJR1jfHy8BAcHy8iRI6VixYrSpk0bmTdvnpw7d85s2QkJCdK+fXt5/fXXLa7v9u3bpVevXmbP\n+fr6SuXKlTMc2717t5QqVUp27dolIiKrV68WT09PSUhIEBGRjRs3irOzsyxatEiMRqPF9cj8ObZs\n2SJPPfWUlC5dWqytraVBgwZiZ20tt0BmgOhASqV7zTQF2yUgtUHsQWqBfJhun2cHvT7fY9TKv1Qg\nVhSl0KVu1zd+/PhCeV5SUpIMHDhQunfvnhaMZ8yYIVOmTDF7/b179+Sjjz6S6tWrS8eOHSUkJCRL\nEEtMTJRdu3bJmDFjxMXFRZo1ayazZs3KMknr5s2bUq9ePVmyZIlFdf3hhx/k6aefznL87t274uDg\nIAaDQZKSkkREa61XqVJFHnvsMRERuXjxojg5OcmRI0ckLi5OXnzxRalVq5ZERERYVHZ6Dx48kB07\ndkifPn3ExsZGbGxsxM3NTWbOnClXr14VkX+3qLRkAl3ml6VbVCq5U4FYUZRC98Ybb0inTp0kMTGx\n0J6ZORh369ZNtm7dmuM9iYmJsm7dOvHy8hJPT09Zs2aN2TolJyfL3r17ZcKECVKlShVp1KiRvPPO\nOxIZGSlGo1HOnj0rrq6usmPHjlzreeDAAXniiSeyHA8KChJvb29xdnSUAb16yWBvb6nv7i7lbG1l\nw4YNkpKSIp07d5ZZs2bJqVOnxNPTU5599lmJiYmx+DtKTEyUnTt3yuDBg8XW1lbKlSsn9vb28uKL\nL8qxY8eyXB8WFiautrYWz2ZPP6vd1dZWwsPDLa6bkj0ViBVFKVSff/651KxZU27cuFHoz05KSpJB\ngwZJ165dpXz58nLt2jWL7jMajbJz507p1KmTVKtWTQIDA+Xu3btmr01JSZFff/1VXnvtNXF3d5c6\nderI1KlTZdWqVeLo6CiHDh3Ksazw8HBp0aJFhmMHDx4Ul3LlxL5MGRlmZZVhZ6NnQRxsbOSxJk2k\nQYMG8tlnn4mTk5OsWLHCoq7opKQk+f7778XPz0/s7OykYsWKotfrpXfv3hISEpLW+s7O8qVLpWYe\ngvFpkJq2trJ86dJc66ZYRgViRVEKTWhoqDg7O8uJEyeKrIykpCTp0aOHGAwGiYuLy/P9YWFhMmDA\nAHF0dJRp06alddOaYzQaJTw8XKZOnSp16tQRZ2dnKVeunHzzzTfZTuA6fvy4NGzYMO398qVLxdnG\nRuaD3MomuN0CmQdSwcpKKleqJJGRkbl+B3v27JHRo0eLg4ODVKpUScqVKyctW7aU5cuXy+3bt/P0\nnSxfulRcbW0lUKfLto43QRbodOKqgnChU4FYUZRCcenSJalSpYps3769yMv6+OOPpUaNGtK1a9d8\nBWMRkdOnT8u4cePSZlpHRUXleL3RaJTIyEjp0qWL2NjYSOXKlWXChAmyd+9eSU5OzvDcmjVrikjh\ntjaTk5Nl3759Mm7cOHF0dJSqVauKq6urVK1aVf73v/9lmCmeH+Hh4TLM11cc9HrxMxhkKchaU9KO\n1P2Ih/n6qu7oIqATKYTtRhRFeaTFxcXRvn17+vfvz9SpU4u8vOeff56mTZty8OBBrl+/zrZt2zAY\nDGnno6OjWbN6NVGRkdyPiaFc+fLU9fJihJ9flgQY0dHRBAUF8fHHH9OhQwcmT55M69atsy1bRJgw\nYQJHjx6le/fubNmyhStXrtC3b1+efvppjh45wvKFC2nTogUHQ0OpkpLCdbQdpVyBN9CSYvyGttHC\nIcAa6Ii2EcZ9oJ2tLcH799O8eXN+/fVXNm7cyFdffYWNjQ16vZ6rV6/Sr18/RowYQbt27Qq0njiz\n69eva9/d8ePcu30buwoVqOvpyXMjR+Y7eYiSMxWIFUUpEBFhyJAhWFlZsXbt2gyJKopKw4YNWb9+\nPZ6enowYMSItGJ84cYKFAQF8u3MnvkCrhAQt+xMQZjCwRYRePXrwyptv0qpVqwzPvH//PitXriQw\nMBAPDw8mT55Mjx49zH6e5ORk+vbti6urK5988gnbtm0j4H//48TJkzwjQntIK/d74EfAG+gLTARC\ngGto20J2QwvEL6HtdrQTLbvY6po1uREXh16vx9HRkdOnT9O6dWtGjBiBj49PWqIP5b9PBWJFUQrk\n/fffZ9u2bezfvz9Dq7So3L59G3d3d27duoW1tTUpKSmMGDGCIxER3Lp4kSkJCYzIZoP728BqnY65\nBgMz589nzLhxWa5JSkpi06ZNzJ07F6PRyOTJk3n22WcpXbp0huvu379P+/btqVGtGqG7dzMlPj7n\ncoEP0FJFfgr0z3TNEbRWcQxaqs9qpUrh4OpK+fLlGTFiBMOGDcuwSURJyUtvg2KhkuoTVxTlv2/r\n1q1StWpVuXz5crGVGRISIp06dcpwbNnixeJmZVWoM3+NRqN89913Oc60nhMQIJV1ulzLHQ9ia0qa\nUQYkyMw1H4I8lu79UCsreWXixHwn8ShsYWFhMtTHRxz0ehml12eY+Z06hjzUxydLEhUldyoQK4qS\nL5GRkeLk5CS//fZbsZb7v//9T956662096lrYU+CPA/ibsoC1QxkZ7rAthGkgelcI1MAsXQtbPqZ\n1m+99ZZcvXo1rdxnQFxByoPUA/nUVN7vIC1BKoBUBOkCsh7kNZBKIOHp6nbMdM0v6Y49TDsbpc6q\n/jCHWdW30JJ8qFnVeacCsfKfc+3aNZk3Z46MHjpUBnt7y+ihQ2XenDkq1V4xio6OFg8PD1m/fn2x\nl925c2cJDg5Oe5+aHSoWLS3jRVNg2AFiB/IXyBVTS3SX6dy3phbqu5Cn7FDpZ1o3rFFDAnU6OYmW\np1lA/jQF5cMgMSDnTMeNIItAvEDGgviADEvXOq9qCtLpA9takCY1a8qSJUtk586d8scff6SlvSxO\nap1x0VNjxMp/Rnh4eL4n4iiFJzExkS5duvD4448TEBBQrGWnpKRQsWJFzp49i5OTE9HR0dRzd+dc\nQoLZsdkmwAygKtAHuJrunAvazk+D9HqiLl7M0/jmyZMnadukCRdTUjKU+yfQCVhExjHgZGA5MAUY\njDY560tgD9APeAsYnamMZcC6Zs3wbN2ac+fOcf78eS5duoSTkxM1a9bEw8Mjy5+VK1cu1BnU4eHh\nPP3EE9RISiIKGAKsMp37C/AAygEC6Eyfbxpwhn9nfrds2bLQ6vP/lXVJV0BRLLFi2TKm+/szJT6e\nIDMTYsbGx7MAWL11K3127cp2Io5SMCLCxIkTsbe3Z9asWcVe/u+//46rqytOTk4ArFm9Gh8wG4Sv\nAVFAY6AW0ADYAfQEtgN6oB3go9OxZvVqXn/jDYvrsfPbbxlQujQVUlIAbcbzaiAeaG4qA+A6WrBK\nBIzAcLQA/CXaBK6umA/CAOEGA76DB2eoV0pKCpcvX+b8+fNpwXnXrl1p72NiYnB3d882UJcvX97i\nzwiwMCCAAUlJPAPsMn2+9HRok8syzyuvDUyOj2dhQABrN2/OU5mPIhWIlYfeimXLmOPvz4G4OGrn\ncF0F4FUResfF0c3fH0AF40K2dOlSfvnlF3799VesrKyKvfxff/2Vxx57LO19VGQkrRMSslyXDAwD\n/IA6pmPD0VqjCYAN8BVgAFrFx7N6zRruxcZibW2NlZVVrn9+v307vunKXQIsBkKBfabngxagWqLt\n65tgOrcQ6AV8jDY7eobpldqqvGs6vkWEOSNHZvhcVlZWuLu74+7uTseOHbN87tjYWC5cuJAhUP/0\n009p721sbMwG6Jo1a1K9enXKlCmT9qzo6Gi+3bmTc2j/bYUDVzKVJ2g/MMz9mzBChHdDQrh+/bqa\nTZ0LFYiVh1p4eDjT/f15MS6OwcBxMnaPJZneR6B1le0D2gO74uJo5+9P81atVNdYIdmzZw/vvfce\nv/76K/b29iVSh9DQ0AyB+H5MDHaZrhG0IGwDBJmO7QYmAz+hbXIfgdZV/R3aet+UxEREhISEBJKT\nk0lJScnxz4vnz2cpVwc8DqxF61aeADih/TuZWi9nU7kAg0xlbzDzOVcBpdASlzg4OKDX6zEYDOj1\n+rRXTu+dnZ2pXr063bt3TztmY2NDbGwsFy9e5MKFC5w7d46IiAg2bdrE+fPnuXLlCq6urmmB+e/L\nl+mdqes9Mx1Qw/RnZ2Ae4Gg6V5H89TY8ilQgVh5qCwMCmBIfTw20Lj9z3WPtgFeBAemOqa6xwnXm\nzBmGDBnCl19+Sc2aNUusHqGhobz22mtp78uVL8+9TNc8D9xAS5qR2lI7BnRAC8KgtVLboAVoA9Ci\nTRtmzpxpcT3GDBvGvfXrzZ5LBs6aOZ4CxKG1Kp3Q5jZkDuagja/OtbHBq21b9u/fT79+/WjWrBmJ\niYkkJCQQHx9PTEwM165dS3ufkJCQ9sr8PvMxo9GYJXjb2trSuHFjSpUqxb1794iIiCD6wgVmJCVl\n+x04obWSmwI3gfHAULQfN6laxcdz9Pjx3L7OR54KxMpDK7VrLP2YcObusdLAy6a/Z56iorrGCsfd\nu3fp06cP06dPp1OnTiVWj5s3b3L16lUaNWqUdqyulxdhmzcz1tRNPBb4Ay3Alkl3bytgLlpAboKW\nPONntLHdDQYDjTw9cy3faDQSFhbGggULCN62jXtoE61Ss2YZgB/Qxn+/MNXBCfBCS1v5NlorsYHp\neeFAo4xFcAboZmvLLNMch6NHjzJmzBjOnj3L8uXLqV+/viVfVY6Sk5NzDNSp7wNnzsTu8OFsn1MW\n7ccxaC39xUBltGxhZU3H7YB7t28XuM7/75XklG1Fycm8OXPET6/PsDTibRC/bJZNuIHsz3TMz2CQ\n+XPnlvRH+c9KTk6WXr16ydixY0u6KrJjxw7p3LlzhmPXrl0TB71ebpmWKelADCDlTC87kA2mfxeW\ngNQ2rSOuhZZA4yaIg16f7dK32NhY2b59uwwdOlTs7OzEyspKbG1txcbGRsqWKiWnQTqY1gqXNy1P\nWmkq7yuQ+qY6uIB4gxzn352MHECi072fr9NJeZApb7yRoQ7JycmyaNEicXR0lOnTpxfbEqbRQ4fK\nMgv/2xOQqyClQO6mO/YwrYV+mBXePHdFKWTZTcTJi1bx8USprrF8e+utt4iNjWXRokUlXZUsE7UA\nXFxc6NWjB5/rdFRHmzgUh9btew9t4tNg07XjgdNos3zPAJOAz3U6vHv2zNBj8vfff7NixQp69+6N\ns7Mzzz//PJs2bcLa2hpnZ2emTp3K2bNn6fvMMwTrdOxDm1x1B63FPcr0nP7AKVMdrgHBaDO4QZth\n7QV8DQy3tqaWjQ1HfXx4c/ZsNm/ZQmxsbFp9rKysmDhxIkeOHOHo0aM0adKE/fv3F/j7zE1dLy/C\n9HpS0CaapaB1uz8w/T0MbVa6oHVNv4K2dCt9d3u4wUBdC3obHnkl/UtAUbIz2Ntb1mX61Z3XFvFa\nkMHe3iX9Uf6T1qxZIx4eHnL9+vWSroqIiHTq1ElCQkKyHE/NcGVpwon0iSdcbW0lLCxMIiIiZPr0\n6dKiRQupUKGCtG7dWipXriz29vZiMBikR48e8u2332bY7vDXX3+VinlIq5m+3IpWVtL1ySdlUO/e\n8libNmJvby8jR46UY8eOyfDhw2X8+PHZfg/ffPONuLm5yfPPPy83b94sku9a5N/ehimmnoZS6V4z\nQb4A8TD1PFQBGQFyLd3nzK23QfmXahErDy1zE3Hy6h5gVyGneZ+KOb/99huvvfYa27dvT1uzW5KS\nk5OJiIigbdu2Wc61atWKmfPn083WljMWPu8M0NnGhrrNm9O3b18GDx7MpUuXcHd3JzExkaioKJKS\nkpg0aRJRUVGEhITQs2fPtCVbCQkJzJ07lzKOjrQzPc/ScjtZW/NBUBC7Dhzgy+3b+fXgQc6dO0ed\nOnXo0aMHf/31F1999RU7d+40+wwfHx9OnjyJwWCgUaNGbNiwASmCvEypvQ2uOh1GtFZw6usd4Fng\nHNp/Y1fQWvku6e4319ugZKOkfwkoSnbSjxEno6URfBNkOEiC6ZiAPDCdcwP53nROjRHn3+XLl6Vq\n1aqybdu2kq5KmiNHjkj9+vVzvGb50qVSyWCQeZBtPuSbIPNM48T16tSRefPmyYoVK6Rdu3ai1+vF\nxsZGOnXqJMHBwRlav+ndu3dPOnToIFWqVJFmzZqJs6OjOJcpI4E55GG+CbJApxNXg0Gqu7nJG2+8\nYXYzhwcPHsjatWulTp06Ym1tLXPnzpX79+9n+5lDQ0PF09NTunXrJmfPns3bl2qBgvY2WJLHW1G5\nppWHWPqJODOy6R4TkBqZjpdCm7ijusbyLi4uTlq2bCkffPBBSVclg6VLl8qoUaNyvc7X11ea1q0r\nDnq9jDQYZKlpeGIpyLMgZUuVkg4tW8qWLVskICBAXFxcxNbWVhwcHOStt96Sixcv5vj8mzdvipeX\nl9jb28vYsWNl7NixMnToUAkPD5fBzzwjtjqdDLO2zlBu6s5Ew3x9JTw8XG7cuCFNmjSRqVOnZruz\nktFolP79+0vVqlXF0dFRpkyZIpcuXTJ7bWJiosyePVscHR1lzpw5kpiYmPsXmgcq13TRU4FYeail\nJvTPy6/x1FegTpenhP6POqPRKM8++6wMHjz4odl6L9WwYcPkk08+yfGas2fPSsWKFWXDhg3y3HPP\nSXl7e3GxsxOvmjWlT5cuMicgQH788Ufp16+f2NjYSJkyZeTxxx+XrVu3SlJSUq51+Oeff6RatWqi\n1+tlzZo18v3334ubm5vcunVLjEajjBgxQvr06SPz5s6V2lWrSqdWrWTM8OEyf+7cLD8Gr1+/Lp6e\nnjJt2rRsv+u4uDipX7++fPTRR/Lyyy9LhQoVZPDgwdluM3jmzBnp0qWLeHl5FfqOWKm7L1nU6ldB\nOM9UIFYeaqprrPh88MEH0rJlS4mLiyuxOmS3s1aNGjXkxIkTZu/5+++/5ZNPPhE3NzexsbGR9u3b\ny7x58+SPP/4QEa27d82aNVK3bl0pU6aM2NnZyauvvip//fWXxfX6448/xN7eXhwdHeXYsWNy+/Zt\nqVatmuzatUtERAIDA6Vp06Zp3ch9+/aVb775JsdnRkdHS+PGjeWdd97J9prw8HBxcXGRy5cvy+3b\nt2X+/PlSvXp1eeKJJ+Trr7/O0n1uNBpl3bp1UqlSJZk4caLExMRY/BlzEx4eLsN8fcVBrxe/TL0N\nmVv9St6oQKw89PLTNVZZp5M+ara0xbZt2yZVq1aVy5cvl0j5OW06P1KvFwPIkL59JSwsTIxGoxw+\nfFhmzpwpLVu2FAcHB+nRo4fY2dnJ+fPn05555coVGTdunJQtW1asra2lWbNm8vXXX1vU+k1v9+7d\nUqZMGWnSpElaYEs/s3nXrl3i6uoqFy5cSLunX79+smnTplyffe3aNWnYsKHMmDEj22tmzpwp3bp1\nS2s5JyUlyaZNm+Sxxx6TGjVqSGBgYJaAe+PGDRk1apS4ubnJli1b8vR5cxMdHS3z586VMcOHy2Bv\n72xb/YrlVCBW/hPy2jU2b/ZsqVevnsybN6+kq/7Qi4yMFCcnp0LvzrSUpZvOL9DppKK1tVR0cJBa\ntWrJpEmTZM+ePZKYmCj9+/eXOXPmiNFolB9++EFat26dlnxjzJgxGQJ0XgQFBUmpUqVk0KBBaYFw\n8+bNUrt2bbl//75ERUWJi4uL/PTTTxnuGzRokHzxxRcWlXH16lVp0KCBvPfee2bPJyYmSqtWrWTJ\nkiVZzh08eFAGDRokFSpUkEmTJsm5c+cynN+7d6/UrVtX+vbtm+0Ys1LyVCBW/jPy2jV26dIlqVmz\npgQFBZVwzR9e169fFw8PD1m7dm2JlJ+f3o4aer18nG4M8vDhw1KpUiWZNm2aODk5SalSpaR+/fqy\ndu3afE9cSklJET8/PylVqlSGAHn16lWpVKmS/PLLLxITEyMNGjSQjz/+OMv9Q4YMydN3+s8//0i9\nevWynST3xx9/iJOTk0RFRZk9/9dff4m/v79UrFhRfH195cCBA2k/HOLj4+Wdd94RR0dHWbRoUbaz\nwZWSowKx8p+Tl66x8+fPS/Xq1XOd6PMoSkxMlI4dO8rkyZNzvC67cduCdkVmN/5/AaQnWtrIyiAT\nQFKyGf8/ceJEWvC1sbGRwYMHy5kzZwpUr5s3b0qLFi2kdOnS8uWXX6YdNxqN0qdPH5k6daokJyeL\nt7e3jBs3zuwznnvuOVm9enWeyr1y5YrUqVNHZs+ebfZ8UFCQtGnTJseu9Xv37smiRYukVq1a0rJl\nS1m/fn3aj5GTJ0/Kk08+Ka1bt5Zjx47lqW5K0VKBWPl/LyoqSqpWrSrr1q0r6ao8VMaOHSu9evXK\ntoWU07htag/EUB+fbGfx5maoj48EmpkR3xNkJEgiWqYmT5CgTNcs0OnEydZWdDqdWFlZyaJFiwpl\n2WrTW9YAACAASURBVE5ERIQ4OzuLra2tHDhwIMO5zz77TLy8vCQhIUHefPNN6dChQ7Zl+vn5yaef\nfprn8i9fviy1a9c2O6SSkpIinTt3llmzZuX6nOTkZNm6dat06NBBqlatKrNnz5Zbt25JSkqKrFix\nQpydnWXy5MkSGxub43OK6keYkpEKxMoj4eTJk+Lq6ipff/11SVflobBkyRJp0KBBtrNqLR23DczH\ncpWrV6/Khx9+KGVLlTL77IYgO9O9fwNkrJn5AGVLlZJmzZrlK+BlZjQaZcWKFVKuXDmpUKFClhbj\nhQsXxMnJSY4dOyYbNmyQGjVq5BiMRo8eLcuXL89XXS5duiS1atWSwMBAs+ecnZ3l0KFDFj/v8OHD\nMnz4cHFwcJDx48fLn3/+Kf/88488++yz4uHhId99912We4r6R5iSkQrEyiPjyJEj4uLiIsHBwSVd\nlRK1Z88ecXFxkdOnT5s9X9gJHIxGoxw9elTee+89adOmjTg4OIiXp6cML13a7PNWoOUtjgO5DNIY\nZJuZ654rU0acHR3zPAs6s7i4OPHz8xMXFxepWrVqlu8lJSVFOnXqJAEBARIRESFOTk5y9OjRHJ85\nbtw4s5OrLHXx4kWpWbOmfPTRR1nOrVu3Tho2bCjx8fF5euaVK1dk2rRp4uzsLN7e3rJnzx759ttv\npUaNGjJkyBC5du2aiBTtjzDFPBWIlUdKWFiYODs7y/fff1/SVSkRZ86ckUqVKsmePXvMnk8dt50O\n0hLEhqybbHyCtp2gHUgPkL/Jum47ISFBdu7cKePHj5fq1atLzZo15ZVXXpEffvhBHjx4kGWLvfSv\nUyAtQKzRsqRlt8nHUpAuTz5Z4O/Dy8tLGjZsKHXr1jU7s3jhwoXy2GOPyeXLl6VatWoW9apMmDBB\nFi5cWKC6XbhwQTw8PLJMNjQajTJgwAB57bXX8vXc2NhYWb58uTRo0EC8vLzk448/lldffVWcnZ3l\nuaFDxbF0afHM5p996msmWqa7Nbn8CFMsowKx8sg5cOCAODs7y759+0q6KsUqJiZGGjZsKIsXL872\nmtRMZltMrdDxmf5nvBdtb91TIEkg49D2400dt32yeXPx8fERe3t7eeKJJ2T27Nly8uTJLNmjzO2s\nJSBGEHeQANMY8S2QZ0Amm7l2LcizBVgrvn37dnFycpJ27dpJ8+bNzXY1nzp1ShwdHeXEiRPy+OOP\n55h8I71JkyaZ7VrOq/Pnz4u7u3uW1vWNGzekSpUqsnfv3nw/OyUlRXbu3Cldu/5fe/cd1+TVxQH8\nF1EhDBmypIoiww0uHCh1L8SBdYOKW97Waluq4harqKV1vuKqRZRaB4r7dYuoCFgHjjpQq1arqCAO\ndnLeP5LQAElIIBLU8/188lGTZ9wHhPPc5957TleytbWlfv36kZlAQKuVfO9lr7uQjNt/BtBxBTdh\nTHMciNkn6fjx42RlZUXnzp3TdVPKhGyW7/jx45WmVJTP7S37pVu47GQgQF/K/fuJtGd0D/+O265c\nubLY0onKesQvULS4fLT0F7+iHnFJis7n5uZSUFAQVa9enbp27Uqenp706tUrhdu5u7vTqlWraPTo\n0eTj40MikUitc3z33Xe0REvFRu7du0f29vZFlkkdPHiQatasqbDtmrp27RrVq1mTQlV872Wv7pCM\n4deSBmICp5MtLS6DyD5JHTt2REREBPr27YuLFy/qujnv3cyZM/H69WusWLECAoFA4TYR4eHwAaBJ\n0Uix9M9rACwADNTXR3ZmZrGlE2VF5wurCsABwBpIyu29ArAJgJuCYySUoOh8SkoKunXrhri4ODRs\n2BAVK1bE//73P5iamhbZNiQkBGZmZhCJREhISEBERAQqVFDvV2bFihUhEok0apsyDg4OOHHiBBYs\nWID169fnv9+jRw90794dkydPLvU5rKys8M+zZxhVzHY7ABgA6F7o/RFE2H/wIJ4/f17qtnyKOBCz\nT1b37t2xdu1aeHl54erVq7puznsTGRmJbdu2ISoqCpUrV1a63e2kJLTIylJ5rO6Q/DK+BiATQDAk\nv0QypJ+7Z2bithpfyy8GDMDOvDykKfhsF4CDAKwAuACoDODnQtukAogmwnB//2LPJRMXF4fmzZuj\nSZMmAABTU1Ps3r0bhoaGRba9ePEiVq5ciVGjRmHhwoXYs2cPjI2N1T6Xnp4e8vLy1N6+OI6Ojjhx\n4gSCg4Pxyy+/5L8fGhqK2NhYREdHl+r46tyEvQUwA8AKBZ9ZAPARCBARHl6qdnyqOBCzT1rfvn2x\nbNkydOvWDbdu3dJ1c7QuISEBkydPxp49e4rtpb5NT4dJMcfrBGAugH4AaktfJgCqSz83AfAmTVF4\nlZ7j7VssWbIErVu3ho21NcIV9M5dAZyEJNimAPgdkqAsL1yDovNEhJUrV6JPnz4ICQlBbGwsXFxc\nEBkZqfDGJCsrC8OGDcPUqVMxefJkbN26FQ4ODsWeR542e8QyTk5OOHHiBObMmYNwacAzNjbGpk2b\nEBAQgJSUlBIfW52bsLkAhgOooeRzdW/CWFEciNknb/DgwQgJCUHnzp1x7949XTdHax4/fox+/fph\nw4YNaKTGI1xjU1O8UeO4AQBuA/gHkoCcB6Ch9LM3AEzMi/arXr9+jYULF6J27dq4ePEijh49it+i\no7FEKESyuhcklQxgUaVKmBQUVOy2b9++ha+vLzZu3Ijo6GiEhISgXbt2WLNmDfT09BTuM2vWLDg7\nO2Pjxo2YNWsWOnTooGELtd8jlnF2dsbx48cxY8YMREREAADatGkDf39/jB07FkRUouOqcxN2HJLe\ncDXp6xGAgQB+lH5e3E0YU44DMWMARowYgRkzZqBTp054+PChrptTapmZmfDx8UFAQAD69Omj1j7y\n47YiAFnSP/MAZEv/ng3gunT7hwDGAZgMQDbCmlho3PbVq1cIDg6Go6Mjbty4gZiYGPz+++9o1KgR\n3N3dMS80FN0MDdUOxskAuhgYgIyNsW/fPojFYqXb3rx5Ey1btoSBgQF+++03DBs2DL6+vli8eLHS\ncfLTp08jMjIS2dnZaNOmDf7zn/+o2bKC3kePWKZOnTo4duwYgoKCsGXLFgDAvHnz8ODBA/z6668l\nOqb8TZiy7/0JSIYkrkhfdgDWAfhSup+ymzCmBh1PFmOsXFm6dCk5OTnR48ePdd2UEhOLxTR06FAa\nPHiw0hnSisjPmp4rnQ1dQe41D6BXALkCZAxJHugZ0iVHsmxXZgYGlJKSQi9fvswvNDB8+HC6deuW\n0vOqW1lrCUDWBga0dvVqevr0KbVu3Zr69++vME3jjh07yNLSktavX0/Xr1+n6tWrF5tg4/Xr1+Tg\n4EADBw6ktm3bUnZ2ttpfu8IWL15M33//fYn3V8f169epWrVqFBkZSUT/VtEqXIFJHT8uXkwjDQyI\nVHzvC39PHORmTRMkGbdCtTRT/FPDgZixQhYuXEj16tXLzzT0oQkJCaFmzZoVm0e4MJFIRC0aNiyw\nhEWT188CAQ3o2ZOmT59OFhYWNGrUKKXZuwqTr6zlq6dXpLKWScWK5GRnV2CtamZmJg0bNoyaNm2a\nn4gjJyeHvv32W6pVqxZduHCBEhISyMbGRq1KSGPHjqX27duTvb19qb/3oaGh9M0335TqGOq4evUq\n2dra5henWLJkCX3++ecaV1hStHRNk5f8TRjTHAdixhSYNWsWubq60suXL3XdFI3s3buX7OzsNK49\n++TJE+rSpQs1atSIbAwM1E5vKZ/msmrFimRiYkLjxo0rUa+MSFJZq46zM5np61PvDh1o3LBhtGD+\nfLK0tKRr164V2V4sFtOiRYvIzs6O9u/fT23btiUvLy96+fIlnTx5kqysrGjPnj3FnvfAgQNUrVo1\nsrCwoIsXL5ao7fKWLVtGX3/9damPo46kpCSytbWl7du3U15eHnl6elJoaKjGx5ElcynpTRivIy45\nDsSMKSAWiykwMJCaN2+ulYQJZUFWEjAuLk6j/fbt20e2trY0e/Zsys3NLVGuaVuA2n/+OT148KDU\n12FnZ0fm5ub5j9WDg4PJ19dX5T4LFiygChUqUP/+/UkkEtG+ffvIysqKTpw4QUSqqwi9ePGCbG1t\nycbGpkDZw9JYuXIl/ec//9HKsdRx+fJlsrGxoZ07d9K9e/fI0tKSrl69qtExlJWlVOv7z5m1SoUD\nMWNKiMVi+vLLL8nDw4PevHmj6+ao9OLFC6pduzZFRESovU9GRgZ99dVXZG9vT6dPny7wmSbjthYV\nK9IiJQXtNfXmzRvS19ennj17EpGkNnDVqlWVPuIWi8W0ZMkSsrGxobCwMKpVqxb17duXbGxsKD4+\nXq0qQk52dmRpaUnTp0/XyjUQEYWFhdH48eO1djx1XLp0iWxsbGjXrl20YcMGcnNzyx/nVrecobYL\nfjD1cCBmTAWRSESjR4+mDh06UEZGhq6bo1BOTg61b99eo8lBV69epYYNG9KAAQMoNTVV4Taycdsq\nlSvTEGkOYtm47WCAjPX0qH+PHlrtCSUmJpKVlRUtWLCAiIiCgoJozJgxCrd99eoV+fj4kLu7e35P\nfPHixVS5cmXq1KkTrVi2TK0qQj8CZF6hAoWVolpSYevWraPRo0dr7Xjq+uOPP8ja2pqio6OpV69e\n5O/vr3E5Q3Vvwn7i6ktaw4GYsWLk5eXR0KFDqXv37pSVlaXr5hQREBBAXl5eak3QEYvFtGrVKrK0\ntKSNGzeqNat6+vTp1MLdnVydnMi8YkVqXr8+zZ09+71MzImIiKCqVavSiRMn6OnTp2RhYaHwcXdS\nUhI5OztTQEBA/vckJCSEHBwc6Pr16+TRqhUJAbICyBSgOgBtkAskxwCqC5ARQB0BitFyz27jxo3k\n7++vlWNpKjExkaytrWnkiBFkKh2/1bScofzkuZFCYZHJc2YGBuTXrx8/jtYSDsSMqSE3N5e++OIL\n6tOnD+Xk5Oi6OflWr15N9erVU2scOyUlhby9valZs2YqlxPJS05Opho1apCxsTFNnz692GIOJSH/\n2LSxoyMZCQT0w/z5NHbsWIUTnjZv3kyWlpb5j+HFYjFNnTqV6tevT3///Xf+WOdBgDKlAeeWdBz7\nIiSFJUwBigIoG6DvAWql5bHOTZs2kZ+fX6mPU1JBU6ZQNek1leYRc0pKCoUuWULjhg2jId7eNG7Y\nMApdsoRnR2sZB2LG1JSdnU3e3t40aNAgjZeHvA8nT54ka2trtZYIHTlyhOzs7GjKlClqrY+9desW\nDR8+nKpWrUqGhoaUlJSkjSYXoGr81t/AgIQAfdGjR/5j06ysLAoICCBnZ+f89uTl5dGECROoefPm\n9OLFCyJSPPv3JiTrnncAtA6gNnKfvQNIKA3W2pr9GxkZSUOGDCn1cUpCdiNyHaDRkJSVrAJQE0iq\nJql6KsCTrnSDAzFjGsjMzKTOnTvT8OHD1S6J9z7cvXuXbGxs6NixYyq3y87OpsDAQPrss8/o6NGj\nxR73+vXrNHToULK0tKTg4GC6dOkSffbZZ9pqdj7ZOGRx47eyx6YhP/xALVq0IB8fn/zef05ODg0Z\nMoTatWtH6enpRFR0Pex/ADKEJEFFM2nQnSR9X/5cjQDaBe2th922bRsNGDCg1F+nkpDdiLyDJBHH\nQ+k17gfIBKAHKp4K8DIk3eBAzJiG3r59S56enipr+75Pr1+/pgYNGtDKlStVbnfz5k1q2rQp9e7d\nu9hHyklJSTRw4ECysrKihQsX5ge2yMhI+uKLL7TWdqKSzcytBtAXPj75X++MjAzq2bMneXt7F5hE\nJ58hSvYSA3QWoAUA5Up7iUGFztEGoE3Sv2sjQ9TOnTvJx8enVMcoieISc7hKbziUPRWI19KNCNMM\n55pmTENGRkY4cOAALl++jG+++QZEVGbnFovF8PPzg4eHB7788kuF2xARfvnlF7Rt2xZjxoxBdHS0\n0spLly9fxhdffIEuXbqgefPmuHfvHoKCglClShUAwPnz59GqVSuttT8xMRFzAgNxOCMDTtL3cgCM\nAVALkpzVTQH8T24fJwCnAZw9fBh//PEHXr9+jR49esDU1BS7du2CUCjM31ZRFSEBAA9IihSEATAG\n8LpQu9KB/KIH2qgi9D5zTauiqpzhMwB3ADSAJF+4fI1nQ0i+zo/B5Qx1gQMxYyVgYmKC//3vfzh9\n+jSmT59eZsF45syZePXqFVatWqWwcEFaWhoGDhyI5cuX49SpUwgICFC43YULF9CnTx94eXmhbdu2\nuHv3Lr7//vsiNXe1HYiXh4RgamZmfhAGJIUF7AHEQhIQ50NS1Ue+9IYTgCmZmVgydy46deqEevXq\nYfPmzahUqVKB46uqIpQH4B4klaIuy73/DsBdSAIUoJ0qQu+r+lJxlJUzzAPgB8AfkhrPb/FvoQ6Z\nKpAUbuByhmWPAzFjJWRmZoYjR45g//79+OGHH977+X777Tds3boVO3fuVFhH9/Tp02jcuDHs7OyQ\nkJCABg0aFNkmPj4ePXv2RN++fdG5c2fcvXsX33zzDYyMjIpsm5mZievXr6Np06ZaaX9KSgoOHDqE\nEYVuWgwBzMa/dW57AnAA8Eeh/UcQYf/Bg/Dw8MDq1atRoULRX1+yKkLPAWyDJMiKARyGpK5xZwB9\nIekR7oakstA8AI0hCVCAdqoI6apHrOhGhCAJwvoAVkrfU/VUgMsZlr2Kum4A+zClpKQgIjwct5OS\n8DY9HcampnBxdcWIkSPVKtb+sbC0tMSxY8fQrl07CIVCBAYGvpfzJCYmYtKkSTh+/HiRr29ubi6C\ng4OxYcMGbNiwAT179iyy/9mzZxEcHIw///wTQUFBiIqKgoG05KEyFy9eRL169WBoaKiVa1D12FSe\n/CNUeRYAvtDTg3316krLGLq4uiI+Kgr9s7IQBkntZDGAmgCWQxLkASAKkvJ9fgBaQhKkZRKFQjRQ\no36zKrrqESuqKT0awAsABwHIKjA3ALBJbhv5pwLHweUMyxoHYqaRxMRELA8JwYFDh9APgHtWluQO\nGkDCrl1wmTMHPXv0wKSgILi7u+u4tWXDxsYmPxgbGBjgq6++0urxnzx5gn79+mHdunVwdXUt8Nm9\ne/fg6+sLU1NTXLp0Cba2tgU+j4mJQXBwMO7du4fp06djxIgRCnvTipw/fx6tW7fW2nUoe2wqr/Aj\n1MI88vJwWclj03fv3uFlWhq2ZWXhZwCnVJynI4A/FbyfCmA3ERb7+6tsZ3F01SN2cXVFQlQUJki/\nzhMA3ARwDID8d90HwBRIngp4oeBTgUVauBFhGtLpVDH2QdF0ycmnlvru/v37ZG9vT+vXr9faMTMy\nMqhFixY0f/78Ip9t2bKFLC0taenSpQWWUonFYjp+/Dh9/vnn5OjoSBs3bixREpL+/fvTli1bStV+\n+Tb5dO5MW1TMjhYDNAigngDlKdlmM0BDvL0LHDs7O5tWrVpFtra2NHjwYOrTpYvOqwjFxMRQ27Zt\nS30cTcnPmn4gXbYlhKR+tLF0+dJv0ms9Dsk6YkOAOki353KGusGBmKmFk8Gr5/bt2/TZZ5+pVf+2\nOGKxmHx9fWnQoEEFlkmlp6eTn58f1a1bt0DJPrFYTIcPH6Y2bdqQs7Mzbdq0iXJzc0t8/urVq1Ny\ncrLG+2VnZ9Ply5dp06ZN9O2331KnTp3I0tKSzPT1KUzF/5mRAHWSrmtVts1qgMYNG0ZEkjzgW7Zs\nIQcHB+revXv+16I8VBE6e/YstWrVqtTHKQkuZ/jh4UDMiqXsF1s7gAykd9nG0rvr9/WL7UNy/fp1\nsrW1pR07dpTqOIsXL6amTZvSu3fv8t+Li4sjBwcHGjduHL19+5aIJAH4wIED1LJlS6pXrx5FRkaW\nOvPXo0ePyNLSsth10ikpKXT06FEKDQ2lYcOGkaurKxkYGFC9evVo8ODBFBISQgcPHqTHjx/TEgVr\nfGWv8QC1hmQ9q6pAMVIopB+XLKH9+/eTq6srtWrVik6ePFmkXbq+cYyPjyd3d3etHEtT5eFGhGmG\nAzErlrI77PYAbXxPd9jqlm0rry5dukTW1ta0b9++Ip+pc2379u0jOzs7evjwIRFJUjnOnz+frK2t\nadeuXUQkCcB79uyhZs2aUcOGDWnbtm1aS725c+dO8pZ7BJybm0s3btygrVu30rRp06hHjx5kZ2dH\npqam5OnpSV999RWtX7+eEhISlFapUpZsorhHqLLXS4AMBQJycnKi+vXrU3R0tMobBV1WEbpw4QI1\nadJEa8fTlK5vRJhmOBAzlVRl6mkP0C/F/IBrOuakTv3YwmXbyquEhASysrKiI0eO5P9bnWvbunUr\nWVlZUVxcHBERPXz4kD7//HNq3749PXr0iEQiEUVFRZGbmxu5ublRVFSUVtNtpqWl0aBBg6hnz540\nevRoat68ORkaGpKjoyP169eP5s2bR9HR0XT//n2NM4v1696dQjXsqcleoQCZVa5Mjo6O5ODgQEuX\nLs3PAKaMrqoIXb58mVxdXbV6TE1xOcMPBwdippKilIHygdgaklJzbQE6peSHXd2UgR/jZLDY2Fiy\nsrKi7yZPVuvafhIIyFQgIP/hw4mIaMeOHWRtbU0hISGUnZ1N27Zto4YNG1KzZs1oz549pUqxKRKJ\nKDk5maKiomjWrFnUu3dvqlmzJhkZGZGxsTF5e3vT6tWr6ezZs/T69etSfy3OnDlDlpaWZFGxYoke\nm1pWqkRnz54lIskj+sGDB5O5uTlNmjSp2LHssq4idPXqVapfv/57ObYmuJzhh4EDMVNprK+v0gk2\nCQC9BSgHkjy9JgDdU7DdaoDG+PqqPM/H/Cjt20mTSlSSrq2HBzk6OtK5c+coMjKS6tWrRy1btqQD\nBw5oHIDfvn1LcXFxtGbNGgoICCAPDw8yMTGhGjVqkLe3N82YMYO2b99Ot27dooyMDDIyMtJK8JVZ\ns2YNWVlZ0bp168jMxIRqaBCM7wBUWyhU+L1++PAhTZs2jSwtLalPnz508uRJneT/LuzPP/+kOnXq\n6LoZ+bicYfnGgZipNMTbW+WSE/lXd4BWKXh/szRIm5qakoODAzVt2pQ6d+5MAwcOpAkTJtCIESPI\nqEIFagSQPiSzZ+X3L1yu7YHcL+jyPrlE2cSZVID6Sq+pFoqOh94ByEJPj4KCgsjFxYU8PDzo8OHD\nxQYZsVhMDx48oL1799L8+fOpf//+5OzsTEKhkJo2bUojR46kZcuW0cmTJ+nly5cKj5GYmEiNGjUq\n1XXLxsFHDRlCDeztybZKFQqYMIFq1KhBy5YtI1MTE6pasSKFSr8Wyh6bhqr59OPt27cUFhZGdevW\npcaNG1N4eDhlZWWV6hpK4/bt2+To6Kiz87MPi4CISKcLmVm5Ns7PD00jIzFBjW29pK/C6SzCAKys\nVQvDxo2Ds7MzqlWrhnfv3iEtLQ2pqan4ZeVKNPrzT/hAkoowE8BG6b4vAThK/+0NYCYkOYnjpJ//\nLBAgys0NX0+bBgsLC5ibm8PCwgIWFhaoUqWKwjSIZcmvXz80j47G5EI/ZkOkf24EcBGSjE9xAOrJ\nbRMKYKWlJX7dtg0dOnQokk0qKysLN27cwJUrVwq8KleuDDc3N7i5uaFx48Zwc3ODi4tLkbzMyqxa\ntQpJSUlYt26dxtcrn/DFB0ALuYQvpwUC7NfTg421NVp26IDjx49DXyTC85cvMbBy5QLbJhgYIBqA\nt5cXJgUFoXnz5mqdXywW48iRI1i2bBkuX76MgIAATJgwATY2NhpfS2ncv38fHTt2xP3798v0vOzD\nxIGYKZSdnY1Dhw5hzuzZqH/1KrYW+jwdQDyAdpCkZ/sdkiw+l4ACCf0BwF9fH1l9+sDcwgLx8fG4\nefMmGjRogJYtW6JevXqY8e23uJ+TA3MAsyCpACMLxOshScV3RvrvDACWkCTtd4EkE5K9nh469eyJ\njIwMpKamIjU1FWlpaXj79i3MzMwKBOfCwVrRe+bm5mpnn1IlJSUFdWrWxL2srAJpHTMgSfN4A5Kb\nDAAYAeAzAAvltksF4GhggNsPH0IkEhUJuHfv3oWTk1N+0JW9Sht0/Pz80LFjR4waNUqj/daFhWFO\nYCCmZmZiBJHCVJZpAH4BsLhyZWTp6aFD587w8PDAopAQ2JqZwbl2bdjVqAGXRo0w3N+/VOlSb9y4\ngRUrVmDbtm3o27cvJk2ahMaNG5f4eJp4+PAh2rRpg0ePHpXJ+diHjVNcsnxisRixsbGIjIxEVFQU\nGjZsiGHDh2PBzJlIy84u8Is1F5Le6S1I8tfWBbAHRYNwKoA9AgFur1qV/0s1IyMDFy9eRHx8PNat\nXYse0iCsiLJybdchCcQWAAZWrowGbdviu++/L7BvXl4eXr16VSA4y/6empqKv/76CxcvXizwnmwb\nAwMDjQO4hYUFjIyM8nuuynIr3wZQCf8GYUivMabQdhYAvHJy4OjggEr6+vmBtkuXLggMDET9+vWh\nr6+v5CtXcufPn8f06dM12mddWBgWBwYiVq68oSLmAAIB9M3JwecCARLOn0dGRgaOHD2KFi1alKbZ\nRdSvXx9r1qzBggULsH79enh7e8PZ2RmTJ0+Gt7c39PT0ij9ICVWsWFEnuabZh4kD8SeOiJCUlITI\nyEhs3boVFhYWGDp0KC5dugR7e3sAwOVz57Cp0ONVSwAJahx/k0AAby+vAj0bQ0NDtG3bFm3btsWt\nS5fQVEXJtbcArAu9JyvXJuOemYmNmzbhZVoaKlSooNbL1NQU5ubmcHJyKvKZQCBATk4OMjMzkZGR\nkf9nRkYGHj9+jNu3b+Pdu3d4+/ZtgdebN2+Ql5cHExMTmJiYIDc9HbMV5FZ+K70GVdck01YshqBb\nN2zeuVNpoQNtSklJwYsXL1C3bl2195HVGB6fkYEhAK4CGIp/n2r8CWA4JEUFBACaQVKA4TQRPF6/\nxqJFi9R+9FwSVatWxbRp0/Ddd98hKioKCxcuxLfffouvv/4aI0eOzK+9rE26yjXNPkwciD9Rzb4r\njgAAIABJREFUDx48wG+//YbIyEi8efMGQ4cOxaFDh9CwYcMi204KCkLvw4fhXUxvp7BkAEuEQuwL\nClK6jar6sUDxRdwh+7tIBGNjY4jF4vxXXl5egX+X9CUSiQr8GwCEQiH09fVhbm5e5JzZ2dnIycnB\nP2lpCq9NnWuSv7brSUkIDQ3N730Xfowu3wsvrfj4eLRs2VKjsfXlISGYkpkJBwBN8e84v8xnALZD\nUtqQAKwCMBjAFQBBOTlYHhKCzVFRWmm/KpUqVcLgwYMxePBgxMXFYdmyZZg3bx5GjBiBiRMnonbt\n2lo7l66qL7EPEwfiT8iLFy+wY8cOREZG4ubNm+jfvz/CwsLQpk0blb943d3dMS80FN0CA3FYzWCc\nDKCboSHmhYaq7O0oKtsmT1W5Npk3AJq6u2v8OPV98+3XD2927y7yvgskVYbu4t/H01dQtOwfILk2\nobExUlJScPPmzQKPz2V/5ubmKg3Siv6U/d3c3LzIBK7z58+jVatWal9jSkoK9h84gJVyY8KJkIzz\ny1TBv08ARJAUQb8r/fcIIgQfPIjnz5+XafnM1q1bo3Xr1nj48CH++9//okWLFvD09MQ333wDT0/P\nUt/YcI+YaYIDsQ6VRU3fjIwM7N27F5GRkTh9+jR69OiBqVOnolu3bhpNSBoXEAAA8AwMxJTMTPgr\nmYyTCiBcIMCPQiHmhYbm76eMrGzb2Kws5ELyizoPkoLtFaG6XJuMNurHlhYR4c6dOzh9+jROnz6N\n2NhYvEhJASpUwARpL1rGEEA/ALMhmYx2EcA+AOcUHDdRKMQXQ4cWGf+Wl52dXSQ4y//9zp07Rd5L\nS0tDWloahEJhgeB87do1NG3aFFOnTlUZ1E1MTCAQCDDxq69UjvHLM4fkRkoMYL70PQsAPgIBIsLD\nVV7j+2Jvb4/Fixdj9uzZiIiIwLhx42BoaIjJkydj0KBBJRqDT0lJwfp160Dv3mFor16fbK1upgHd\nrZz6dL3vNI65ubl06NAh8vPzI1NTU+rWrRtFRERoJUGDtjP1yFJoToUk33AFudc86XpSReXaSppC\nU1tEIhFdvnyZVqxYQQMGDCAbGxuqUaMG+fr60tq1a+nPP/+kp0+fkpm+vsJ1svLriGsC9LuSdbRG\nenp09OjR93YNr169ovv379Mff/xBhw8fJgMDAwoNDaWQkBD6/vvvacyYMdSvXz9q3749ubm5UY0a\nNcjY2JgqVqxIBgYGZCQQFEn4MlPBWnDZK0P6//yA3HvyFZV0TSQS0cGDB6lr165ka2tL8+bNo2fP\nnqm1r/zP9cgPPD0rK1sciMvY+0rjKBaLKS4ujr766iuytramFi1a0PLly+np06fv5TpkmXpaN25M\njR0dS5Wp50Mo25aTk0NxcXG0ePFi6tmzJ5mZmZGLiwuNGTOGIiIi6K+//iqwvVgspujoaLIyMqKf\nSnBdBEm6S/cGDcje3p48PDxo69atJaorrK6kpCRycXEpdrunT59SmzZtqHPnztSjbdsiCV9UBWKC\npO5wVYCe49+EL4VrDJcH165do7Fjx5KZmRmNHDmSLl++rHTbjzE9Kys7HIjL0PtI43jz5k2aNWsW\nOTo6kouLC82bN49u375dZte0cOFCmjZtWqmOUR7Ltr17945OnDhBc+fOpY4dO5KxsTG5ubnRxIkT\naceOHfTPP/8o3TcpKYk6depE9evXpxUrVpT62nJzcykqKorat29PdnZ2FBwc/F5usNauXUvDpTmu\nlUlISKAaNWrQzJkzSSQSKUyBWlwgzoWk0tLlctgjVuT58+e0YMECsrOzow4dOtCePXsKVLn6mNOz\nsrLBgbiMyILNHICaQ3EqxwyAAgCyBMgMknq/ioLN48eP6aeffqJmzZqRra0tTZ48mRITE3WSY1cb\ngZhI97/MXr16RQcOHKCpU6dS69atycjIiFq1akVTpkyh/fv3U1paWrHHeP78OQUEBJCVlRWtXLmS\ncnNzS3xt1QAKmjKlyDmuXLmS30sbNmxYqR5zFi7H2LB2bern46P0qUZ4eDhZWlpSVFQUEUmGQAYO\nGECDpe3OAygToCCAhgGUJX3vKECXABIBlA7QRIA+Ayhbup+6RUF0LTs7myIjI6l58+bk6OhIK1as\noJMnTyq80foTknSspgA5A7S7DG8i2YeHA3EZkT1+3Q3QHoD+oyAQ+wI0BJKxQTFAF/Hv49dBvXrR\nxo0bqVOnTmRmZkb+/v509OhRrdWfLakFCxZoJRATlW3ZtmfPntHOnTvp66+/piZNmpCRkRF16NCB\n5syZQ8ePH6e3b9+qfaycnBxaunQpWVpa0sSJExXmcJZd20/FXFuotPrSmJEjycrKis6dO6fwnC9f\nvqQlS5ZQzZo1qVWrVhQZGUnZ2dlqtVfVHIUR+vpFxjJzcnLo66+/JicnJ7p27RqJxWLatWsX1alT\nh+zs7MgAkseuc6F4nH8HJGP8JpBU6/IG6KrcNetijL80xGIxnT17lvr370+mlSoVGXrIA8gFoGXS\nn+MTkMwFKBysy2pYhZV/HIjLgKKavoUf392U3j2/UfILWghQ9+7dafv27UoLr+vCggULKCgoSGvH\nk58MNkJfX2tl2x48eECbN2+msWPHUt26dcnU1JS8vLxo0aJFdO7cObWDWGEHDx6kOnXqUNeuXen6\n9esqt01ISCDbKlXIpGJFGiIQKL22AQMG0MCBA+ngwYNkZWVFMTExSo+Zl5dHu3fvpo4dO1K1atVo\n7ty5Kh+bazqWGbpkCbVr14569OhBqampdPz4cWrSpAnZ2NiQsbExmZmZUQMHh3I/xv8+PHv2jEwV\nTMa7Jr3pkH+vK0CzFfxcf2g3Iez94EBcBhTV9C0ciCMAcgXoG0geTbsCFCX3ub+BQbl8fPfDDz9o\nNRDLpKSk0KSJE6m6hYXGZdvEYjHdvHmT1q1bR35+fmRvb0/W1tb0xRdf0PLly+nSpUulfpLw559/\nUo8ePcjZ2Zn27dun1rBAbGws1alTh6ZPn06ft21L44YNo94dOpClkVGBa8vIyKBGjRrRhg0b6Nix\nY2RlZUXHjx8v9vhXr16l8ePHk5mZGfn6+tL58+cLfF6iR+QCAfXo1o3i4+Opbdu2VKVKFTIyMqLR\no0eTu7s7TZw4keLj46lqpUrlaoy/LCir1a0oEHcBqJ+Cr8GH8lievV8ciMuAOhNaFkLyWC8Yksks\nMQAZS3vKhPI3oUU2vtjKzY2aODnRWF9f+nHxYq3e3cfExJCnp2ex2+Xl5dGlS5do+fLl9MUXX5C1\ntTXVrFmT/Pz8aN26dXTz5k2tjZ+npqbSpEmTyNLSkn766SeNetJDhgyhZcuWUe/evWnbtm1EJBln\nrVy5cpGSfdevXydLS0u6ceMGnTp1iqysrOh///uf2m0MDQ2lWrVqkbu7O23evJnOnDmjcCxzFZTP\nWZAFS/MKFUhfX58MDQ1pypQp9OjRI+rTpw8NGTKE8vLyaNasWVTN2pochMJPasKSslrduQA5AvSj\n9O+HAaoMSZnQwtuWt59rphsciMuAopq+hQPxUukvQ7Hce70AWiH9e3lZ4vG+10DLO3z4MHXp0qXI\n+9nZ2XTu3DlatGgReXl5kZmZGdWpU4fGjh1LmzdvLrKUSBtyc3Ppv//9L1lbW9P48eM1vuF4+vQp\nmZmZUWpqKllaWtLDhw/zP3N0dKSbN28W2WfdunXk6upKmZmZdObMGbKysqJ9+/apfc68vDzas2cP\nde7cmcz19RUuo1I1Z0H2+hGg5vXrU3p6OonFYho1ahR17dqVsrKy6JtvviFXV1d69uxZmY7xlweq\nanVfhWSypaU0AA8DaIyC7crLzzXTLQ7EZUCdHvFxaSAWyb3XWy4QrwbIzcWFVq9eTadPn6bU1NQy\nv46yXisZHR1NvXv3pnfv3tHx48dpzpw51KFDBzI2NqYmTZrQ119/TTt37nxva6Vljh49Sg0bNqQO\nHTrQlStXSnSMBQsW0JgxY+jOnTtUvXr1Ap9169aN9u/fX2QfsVhM/fv3p4kTJxIRUXx8PFlbW9Ou\nXbs0OvezZ8/ItHJlpd8zRf8flY1lTps2jVq0aEGvXr2icePGUYsWLQpMTpMf4x9eubLWxvjLI2U9\nYkUvD4DWcY+YKcEpLsuALI3jhKwsiACFqRw/B2APIATANADnAZwC8KP0GOcrV0atunVx8eJFRERE\n4Pr166hSpQoaNmyY/2rUqBHq1asHQ0NDrV+DJmXuviFCr4wMdAsMBIBi01wW9urVK5w9exa//PIL\nzp49C2tra7i5ucHT0xOBgYHw8PCAmZlZyS9GTcnJyfjuu+9w7do1hIaGom/fviXKQSwSibBmzRpE\nR0cjLi4OrVu3LvC5o6Mj7t69W2Q/gUCAdevWoUmTJujSpQt69eqFQ4cOwcvLC7m5uRg4cKBa548I\nD0e/ChXUSkOpiCwN5ZhRo3A7ORknT57El19+ib///hvHjh2Dicm/5SqaN2+OzVFReP78OTxatcI/\n1arB0twcJubmaNCoERaXssZweSL/c13YVUjSsIoArAbwFIC/gmOUh/SsrBzQ9Z3Ap0B+1vRcKE/l\neB2g1pCMDTeQPjIs3COREYvF9Ndff9G+ffsoJCSEfH19yc3NjYRCITk5OVHfvn1p5syZtG3bNrp+\n/XqpMjKpSrixFaB6kCzPcALojNxn6k7Gefr0Ke3YsYMmTpxIbm5uZGxsTB07dqQ+ffpQ165d6d27\ndyVue0m8evWKAgMDqWrVqhQSEkKZmZmlOt6ePXuoVatWREQUEBBAP//8c4HPf/755/xeryJnzpwh\nGxsb+vvvv4lIspbY1taWtmzZotb51em5FZeEYzVAVQ0N6fbt2+Tj40Pdu3dX+X2Jj48ne3v795oJ\nTNcUrYaQvb4HyBySSVteAN0t5kkD+7RxIC4jZZXGMScnh27cuEHbt2+n2bNnk4+PDzk7O5OBgQE1\natSIhg4dSgsXLqS9e/fSvXv3SCQSlbjtRwCqBVCC9N9PpK/i2v7XX39RREQEjRkzhlxcXMjMzIx6\n9uxJixcvpri4uPwJUGFhYTR+/HjNv9gllJeXR+vXrydbW1saOXIkPXnyRCvHleX6JiJyc3OjuLi4\nAp/v2bOHvLy8VB5j/vz51L59+/zZ3teuXSM7Ozv69ddfiz2/qrFMdQPxZoB6eHpSt27dyMfHp8jk\nssL69+9Py5YtK7ZtH7oPIT0rK/84EJcRXadxfPfuHf3xxx+0adMmCgwMpO7du1P16tXJ2NiYWrZs\nSaNHj6alS5fS0aNH6enTp/mzjFXd9XsAtLGY9r8EyLRyZQoNDSVfX1+qUaMG2djYUP/+/WnFihV0\n+fJlpUuJfv75Z5o0aVKprltdMTEx1LhxY2rTpg1duHBBa8e9c+cOWVpaUmZmJr1+/ZoMDQ0VzpAu\nLsdzXl4etWvXjn744Yf8927evEnVq1entWvXqtxXWz3imtbW5Ofnl58xTJnbt2+TpaWlRklRPlS6\n/rlmHwcOxGVI12kcFUlLS6PY2FgKCwujL7/8ktq1a0cWFhZkaWlJ7du3pzatW9OwSpWKtE0EyZKM\nRZA8kq4B0FeQpDUsvO1ggYCaNW1K69evp1u3bqm9lEhb6TNVuX//PvXv35/s7e3p999/13qa0MDA\nQPr++++JiOj48ePk4eFRZJvMzEzS19cvdm3zo0ePyMbGhs6ePZv/3p07d8je3p5WrlypdL9pU6aQ\nn56ewv9jytJSFt5uiEBArVu2VOsJyvjx42nWrFnFbvexKI8/1+zDwoG4jH0ISzzEYjE9efKEjhw5\nQm2bNlXYm3oCyVi3O0DPpG1uI+1ZKepNlWRm6OzZs2nu3Lnv4QqJ3rx5Q9OnTycLCwsKDg5+L9nK\nMjIyyNLSkpKTk4lIkvzku+++U7ht9erV6f79+8Uec8+ePVSzZs0Cua/v379PDg4O9NNPP+W/l5eX\nR/v27aMePXqQhYUFGevpKfz/pmrOgvz/R2M9PbXKAT59+pTMzc3VLh34sfgQfq5Z+VVBx3PFPjnj\nAgKwLyYGF318UNvAAKOEQoQB2AIgDMAooRCOBga45OODfTExGs841gaBQIBq1aqhS5cuqGFnBxMF\n2wilf34NwBqSmbXfAjioYFsTAG/S0jRuR2ZmJoRCYfEbakAsFmPTpk2oU6cOHjx4gCtXrmDWrFla\nPw8AbN++He7u7nB0dAQAnDt3rsiMaRknJyckJycXe8zevXujV69eGDduHIgIAFCrVi3ExMQgLCwM\ns2bNwpIlS+Dk5ITg4GAMHDgQf//9N/r07o1NCmZ8zwEghmR2r+w1u9A24QD69u4Na2vrYtu3YsUK\nDBkyRK1tPyYfws81K794+ZIOyC/xiAgPx+WrV/EmLa1cLvEwNjXFGwXvmwGoXug9ZQt73gAwMdd8\n8UxWVhYMDAw03k+Zc+fOYfLkyRAIBIiKikKrVq20dmxFVq9ejVmzZgEAiAjnz5/H+vXrFW4rW8LU\nuXPnYo/7448/omXLltiwYQPGjh0LIsI///yDxo0bY+HChXB1dcW2bdvQokWL/H0mBQWh9+HD8C5m\n+VlhyQB+NDTEvunTi932zZs3WLt2LeLj4zU4w8fjQ/q5ZuULB2IdsrKywnfff6/rZqikaq3kSAAr\nAXSD5D/SUgC9FByjpGslMzMztRKIHz16hGnTpiEmJgYhISHw9fVFhQrv92HQhQsX8OzZM/To0QMA\ncPv2bZiYmMDOzk7h9ur2iAHAwMAAv//+Ozw9PfHs2TNER0cjNTUVAQEBCA4OxoABA7B37164u7vn\nr3t2d3fHvNBQdAsMxGE1g3EygG6GhpgXGormzZsXu/2GDRvQqVOn/CcAn6oP4eealTM6fjTOyjlV\ns6ZzIUmNaAZJ/dzJ+LfGrPy4WEnXSvr5+eUv+ymJd+/e0dy5c8nCwoJmzpxJb968KfGxNDVq1Cha\nuHBh/r9//fVXGjx4sNLtt2/fTj4+PmodOzk5mb777jsyNjYmExMT2r17d4FJVCkpKeTm5kaBgYFF\nJp+tXb2aqlaqRD8CxZZj1GQsMzs7m6pXr67VGeeMfSp4jJipZG1tjZ49eigcX6wI4L8A0gA8gaRH\nXLnQNr8CaP/55yV6JFfSHjERYevWrahbty5u3LiBixcvYv78+TA2Ntb4WCWRlpaGqKgojB49Ov89\nVePDQPE9YpFIhP3798PLywutWrVChQoVcPnyZXTv3h3Hjh0r0MO3srLCiRMncPLkSUyePDl/LBkA\nBvv64p2eHtZUq6ZwLHMwgJp6eris4Vjm77//jjp16qBZs2Zqbc8Yk6PrOwFW/pVmrWTVSpXI1NSU\nZsyYoXaGLFllJyc7O+ro7q5RZaeEhATy8PCgJk2a0OnTp0t76SWydOlSGjp0aIH3GjZsqHLNaHp6\nOhkZGRXpwT5//pwWL16cX0np119/LTDDOy0tjWrVqkXR0dFFjpmWlkYtW7akCRMm5PeYZ8yYQUKh\nkJKSkiglJYVClyyhFo0akY2hIZlWrkyebdqQt4ZFCMRiMTVo0IAOHz6s0X6MMQkOxEwtpVkr+ejR\nIxo0aBDVrFmToqKilK7VLU1lpydPntCIESPI1taWNmzYUOp6wyUlEonI2dmZzpw5k//eq1evyMjI\nqNh0j1ZWVvnZvOLj42n48OFkZmZGI0aMUFnN6uzZs2RtbU2PHj0q8ll6ejq1adOGRo0aRc+ePSMj\nIyNq3759/ucrV64kOzs7srCwoBMnTtDz58+pSpUqGi3n2r9/PzVu3Fjra7AZ+1RwIGZqK+1ayRMn\nTlD9+vWpa9euRcr+lbSyU2ZmJi1YsICqVq1KU6ZMofT09DL7esh67mN9fWmItzeN9fWlcWPGUP36\n9QsEpSNHjqhVV7lly5Y0bdo0at68OTk4ONCSJUvoxYsXarXlhx9+oHbt2uXfgMi3bUD37lTL2pps\nra3J2NiYTp06RUREW7duJQsLC7KwsKBz587lH6tDhw4Ke9jKfP755/Tbb7+pvT1jrCAOxEwj8mXu\nRgqFGpe5y8nJoZ9++omqVq1KU6dOpTdv3pS4tz1+7FhycHCgvn375ifNKAuqeu5DK1Qgk4oVC/Tc\n586dS1OmTFF6PNnkK319fXJ1daUDBw5o3KPPy8ujDh060Pjx45W2bRBAQoCG9OlDK1asoCpVqlDV\nqlXp4sWLBY61cuVKGj58uFrnjYuLo1q1ahWb9pIxphwHYlYisvHFccOG0RBvbxo3bBiFLlmi9uzo\nJ0+ekJ+fH1lbW5NV5coKg/BtgAwgSb2oKBibCQS0uowzFJWk596tW7ciPUz5zFeWlpb0/fff06RJ\nk2jGjBklbtuihQvJVHpuVW0LBagKQFWMjen69etFjvPo0SOysLBQq3KSj4+PyvSajLHicSBmOtXN\n05NClQSNrgB9riQQk/QReFlWrylpz91IKMxP+ahq8tXmzZtVLnHStG1+ANkCZApQHYA2FGpbLQMD\npcuTWrRoQUePHlV5zps3b5KVldUnUdyBsfeJAzHTGVVrlLdKH6XOUxGIy7Kea0JCAtkIhTQAoJrS\nHmUTgA5J25IDUH9IykIKAIqRC3imAgGFh4cXO/kqLi6OmjdvXqK2KZrVfh2Sgg4E0C1pUL5YKBgr\nqwC0aNEiCggIUHnesWPHvrdc4Ix9SngdMdOZiPBw+AAonPzyNSQ5kH8GQEX2+pcFAB+BABHh4e+n\ngXKWh4Tg28xMNAQQCyAdwHwAAwE8lG7jCSASQDW5/ZwAzCRC4H/+g4YNGyI5ORnh4eFwd3cvcg4n\nJyfcvXu3RG2bmplZJFtWfQCyVdgESQpS+aM7AQjMyMDP8+cXOaaPjw+io6MhFosVnvOff/7Bzp07\n8eWXX2rcXsZYQRyImc7cTkpCCwWpM2cDGAtAcTLIgtwzM3H76lVtN62AlJQUHDh0CGOlbashfb8n\nAAcAfwCoBEkBDA8U/aEaBSBPLIa/vz+qVq2q9DxVq1aFSCRCamqqxm0bQYpvWb4EYASgHiRfT69C\nn48EsGffPty/f7/A+y4uLrCwsFCaN3rFihXw9fWFpaWl2m1ljCnGuaaZzrxNTy9S2ekygGPSP9VR\n0spOmlDWc38G4A6ABsXsL99zV5WDWCAQ5PeKLSwsStU2mf8CWAUgDsApAPqK2lahAjp16IDLSUmo\nUqVK/mf9+vXD5s2bcTY2FreTkvA2PR3Gpqawd3HB2rVrcfHiRbXayBhTjQMx0xlFlZ1iADwAYA/J\n49S3kJTmuwHggoJjlLSykyYU9dzzAPgB8AfgosYx3DMzcVmNnrujoyOSk5MVPrpWt22FCSDpqW+G\nJI3lV4U+byMS4Zq+Prp06YLDhw/DzMwMiYmJuHjmDE6cOoXB+vpokZUluekBcLZiReSIxZj57beY\nFBSkdlsZY4rxo2mmMy6urkgolEt6PCTjmJcBXAEwAYA3gCNKjpEoFMKlBJWdNFG4506QBGF9SKpP\nqUPdnrsmVZgUtU2VPBQcI5ZvW30XF7Ru3RqdOnXCz6Gh6N2+PTqdOoXHRNiYlYUJAHwh+X5szsvD\nI7EYzaKj0bt9e6wLC1O7vYyxojgQM50Z7u+P3ZAUjZAxAGAt9zKWvqfoQW0qgN1EGO7v/17bWbjn\nPhrACwC7AOipeQx1e+6yusQlbZvMcwDbALwDIAZwGMDvABRVO5a1benSpbCuWhU/TZmC2IwMfEOk\n9JG3OYBviBCbkYHFgYEcjBkrBQ7ETGdUVXaSmQMgQslnmwQCeHt5vfdi6/I99wkAbgLYi6KVpnIA\nyB4SZ0tfMur23DXtESt6qgBIHkeHQTKxzALAFADLIZlgVti5ihVRrVYtXLhwAZfPnkUMUf4MbBMA\nVaQvE0jGsibJtxfA4YwMzAkMxIULigYPGGPFERApmW7JWBlITExE7/btEatmsXqZZACehobYFxOj\nVtH60khJSUGdmjVxOisLbpD00GU9YQGAtQCGQDKD+mGhfe9D0qt3NDDA7YcPi71p+Pvvv+Hu7o5/\n/vlHo7bdy8pS2ntVJRWAvZ4e9IyMYGtigglPnuAbJb8S3kGyNOsQgDaFPlsqEOCijw82R0WVoBWM\nfdq4R8x0yt3dHfNCQ9HN0BDq9gOTAXQzNMS80ND3HoSBf3vuxwUCiAFkQPI49w0ka56HSLe7D8nE\nMvmXPTTrudvZ2SE9PR1v375Vu21dO3fGr5pelNQmgQA+ffrgwoUL+OfZM/iruC/fCclwQeEgDAAj\niLD/4EE8f/68hC1h7NPFgZjp3LiAAEwNDYWnoSGWCgRQNqUpFcDPAgE8DQ0xNTRU7aL12jApKAiL\nhUK1bxZkkgEsEQoxKShIre0rVKiA2rVr4969e2ptf//+fVy4cQMLKlYsVdv27N6N/hUrquxVRwAY\nruSzskyuwtjHhgMxKxfGBQRgX0wMLvr4oLaBAUYJhQgDsAWSsc5RQiEcDQxwyccH+2JiyjQIA2Xb\nc5ctYSpObGwsPDw8MHnyZCxcsQKd9fVL3LbilkE9AHAawAgVxyyL5CqMfYx4HTErN5o3b47NUVF4\n/vw5IsLDcfnqVbxJS4OJuTkaNGqExf7+731iliqy4O8ZGIgpmZnwVzKrOBXALwBCDQwwvwQ9d3VS\nXf7666+YNm0aNm/ejK5du4KIELJwITyeP0dQTo7KtoULBPhRKMQ8ubYVtwxqM4C2AGqq2KYskqsw\n9jHiQMzKHSsrK5UZqHRpXEAAmrq7Y3lICIIPHoSPQAD3zMz8ZBeJQiF2i8UQ5+XhyKlTaNmypcbn\ncHR0xJUrVxR+JhKJMGXKFOzduxcxMTGoW7cuAGDXrl2oam2NHbt2YcWiRcrbRgRvLy/sCwoq0EtX\ntgxKZjOA6cW0uyySqzD2MeJAzJiGiuu5d7KzQ3h4eImCMCDpEe/atavI+69fv8aQIUOQlZWF+Pj4\n/DSYIpEIs2fPRmhoKNzd3Uv0VMHF1RUJUVGYoODx9DkATwD0L6bdiUIhGrzn5CqMfYxxYjG9AAAJ\ni0lEQVR4+RJjWjZjxgzo6ekhODi4RPvfvXsXnTp1wl9//ZX/3r1799C7d294enpixYoVqFSpUv5n\nW7ZswZo1axAbGwuBijXZqqhaBjUBkvXR4Sr2T4X6S7QYYwXxZC3GtCwuLg6tW7cu8f41a9bEP//8\ng+xsSUqQmJgYeHh4ICAgAGFhYQWCcG5uLubOnYsffvihxEEYUJ1cZQ1UB2Gg7JKrMPYx4h4xY1qU\nl5cHc3NzPHz4EOalGC91dnbG/v37cebMGQQFBSEyMhJdunQpst369euxbds2HDt2rDTNBvBhJFdh\n7GPEY8SMadHVq1dRo0aNUgVhAKhduzamTp2KGzduIDY2FnXq1CmyTVZWFubPn4/t27eX6lwy+Uu0\nAgNxWM1gXNbJVRj7GHEgZkyLSvtYGgDS09Nx8+ZNGBgYID4+XmlQX79+Pdzc3NCqVatSnU+eJku0\nFC2DYoxpjgMxY1oUFxeHdu3alXj/u3fvolevXqhRowbc3NyUBuF3794hJCQEBw8eLPG5lFFriZaS\nZVCMMc3xGDFjWuTo6Ii9e/eiQYMGGu976tQpDB48GLNnz0aNGjWwZs0aHDhwQOG2S5YswYULF7T2\nWFoZ2TKo23LLoFwaNcJwHSdXYexjwoGYMS1JSUlBnTp18PLlS1SooNmChPXr12PmzJmIjIxE586d\ncePGDfj4+ODWrVtFtk1PT4ezszNiYmJQr149bTWfMaYj/GiaMS2Ji4tDy5YtNQrCeXl5CAwMxKFD\nhxAbGwsXFxcAkslaDx48gEgkgp6eXoF9li1bhh49enAQZuwjwYGYMS3RdKJWeno6Bg0aBJFIhPPn\nzxcYDzYwMIC1tTUePXqEWrVq5b//8uVLrFy5EgkJCdpsOmNMhzgQM6Yl586dw8yZM9XaNjk5Gb16\n9ULnzp2xdOlSVKxY8EcxJSUF+pUqYeKYMTARCmFsagoXV1c8/Ptv9O/fH7Vr134fl8AY0wEeI2ZM\nC3Jzc2Fubo7Hjx/D1NRU5bYnT57EkCFDMHfuXEyYMKHAZ4mJiVgeEoIDhw7BOzcXbUSi/NnK8QYG\n2JaVhR7du2NacDDc3d3f3wUxxsoMp7hkTAuuXLkCBweHYoPw2rVrMXjwYPz2229FgvC6sDD0bt8e\nzaOjcS8rC5tFIkwA4AtJvudfs7LwGEDbw4fRu317rAsLe1+XwxgrQ/xomjEtOHfunMrx4by8PHz7\n7bc4cuQIzpw5A2dn5wKfrwsLw/RJk2CXm4tpAJIAbJR+9huA8QBkWaBFRMjMyEDwt98CACfTYOwD\nx4+mGSuBlJQUyfrapCS8TU/HpatX4dqiBVb9979F1te+evUKgwYNAgBs27YNZmZmBT6X5XienZGB\nzwAcBpCJfwNxYZsA/ADgEDjHM2MfA340zZgGEhMT4devH+rUrIk/58xB08hI9Ny/H5MePIBw3z64\n2NvDr18/JCYmAgDu3LmDVq1aoW7dujhw4ECRIAwAy0NCMDUzEwEAegOwKKYNmwAMB+AEYEpmJpaH\nhGj3IhljZYp7xIypaV1YGOYEBmJqZiZGKMnBnAZJDuYlQiGGjh2LLVu3Ijg4GOPHj1d4TEV1gGcB\neAzFPeIHkATgZAA1wXWAGfsYcI+YMTWsCwvD4sBAxGZkYLKSIAwA5gC+IUJsRga2Ll8Ov6FDlQZh\nAIgID4ePdD91RADwhCQIA5Les49AgIjwcDWPwBgrbzgQM1aMxMREzAkMxLCMDAwBYABglNzn8QC6\nAqgKwAbAIADGAE4D+G3dOly4cEHpsW8nJaFFVpbabdkMwL/Qe+6Zmbh99arax2CMlS8ciBkrhmwM\ntzEkj41HF/o8DZJZzQ+kL2MAI6HeGO7b9HSYqNmOswD+AfBFofdNALxJS1PzKIyx8oaXLzGmQkpK\nCg4cOoSVco+jEyEZw5XpXmifrwC0l/59BBGCDx7E8+fPFY7hGpua4o307yIAudI/8wBkQ/IDKss0\nvQmSIGxU6BhvAJgoKZfIGCv/uEfMmAqajuECQAwAWRHE4sZwXVxdkWBgAECyJMkQwGIAkdK/L5Bu\nlw1gJ4o+lgYk9YFdGjXSoIWMsfKEAzFjKmg6hpsEYD6AULn3VI3hDvf3x25IHm/PASCGpEcse82W\nbqcPyQzp9oX2TwWwmwjD/f3VbiNjrHzhQMyYCpqM4SYD8AKwEoCH3PuqxnCtra3Rs0cPbBIIFH5e\nnE0CAby9vHjpEmMfMA7EjKkgP4arygMAXSDp1Q4t9FlxY7iTgoKwWChEsoZtSwawRCjEpKAgDfdk\njJUnHIgZU0F+DFcEIAsFJ1OJADwB0AnARABjFRyjuDFcd3d3zAsNRTdDQ7WDcTKAboaGmBcayukt\nGfvAcWYtxlSQz3y1AsA8/Ft8AZD0gCF9XzabmaTbvIZmma9kmbumZGbCX0nSkFRIMnf9KBRiXmgo\nF3xg7CPAgZixYvj164fm0dGYXIIflaUCAS76+GBzVJRa21+4cAHLQ0Kw/+BB+AgEcM/MzK9HnCgU\nYjcRvL28MCkoiHvCjH0kOBAzVgxZdaTYjAw4abBfMkpeHen58+eS6k5Xr+JNWhpMzM3h0qgRhvv7\n88Qsxj4yHIgZU4Ms1/RhNYOxbAx3Kj8+ZowVgydrMaaGcQEBmBoaCk9DQywVCKAsoWQqgJ8FAnhy\nEGaMqYl7xIxpgMdwGWPaxoGYsRLgMVzGmLZwIGaMMcZ0iMeIGWOMMR3iQMwYY4zpEAdixhhjTIc4\nEDPGGGM6xIGYMcYY0yEOxIwxxpgOcSBmjDHGdIgDMWOMMaZDHIgZY4wxHeJAzBhjjOkQB2LGGGNM\nhzgQM8YYYzrEgZgxxhjTIQ7EjDHGmA5xIGaMMcZ0iAMxY4wxpkMciBljjDEd4kDMGGOM6RAHYsYY\nY0yHOBAzxhhjOsSBmDHGGNMhDsSMMcaYDnEgZowxxnSIAzFjjDGmQxyIGWOMMR3iQMwYY4zpEAdi\nxhhjTIc4EDPGGGM6xIGYMcYY0yEOxIwxxpgOcSBmjDHGdIgDMWOMMaZDHIgZY4wxHeJAzBhjjOkQ\nB2LGGGNMhzgQM8YYYzrEgZgxxhjTIQ7EjDHGmA5xIGaMMcZ0iAMxY4wxpkMciBljjDEd4kDMGGOM\n6RAHYsYYY0yHOBAzxhhjOsSBmDHGGNMhDsSMMcaYDnEgZowxxnSIAzFjjDGmQxyIGWOMMR3iQMwY\nY4zpEAdixhhjTIc4EDPGGGM6xIGYMcYY0yEOxIwxxpgOcSBmjDHGdIgDMWOMMaZD/wfTYCWzsq68\ntQAAAABJRU5ErkJggg==\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "#对生成的网络数据进行可视化\n", "pos=nx.spring_layout(G)\n", "nx.draw(G,pos,with_labels=True)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 2.2 保存网络数据" ] }, { "cell_type": "code", "execution_count": 28, "metadata": { "collapsed": true }, "outputs": [], "source": [ "nx.write_edgelist(G, \"karate_new.txt\")" ] }, { "cell_type": "code", "execution_count": 29, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAeIAAAFBCAYAAACrYazjAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n6dH/A0Xsk6jH4Gi0AAAAAElFTkSuQmCC\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "G1 = nx.read_edgelist(\"karate_new.txt\")\n", "G1 = G1.to_undirected() \n", "\n", "pos=nx.spring_layout(G1)\n", "nx.draw(G1,pos,with_labels=True)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# 3. 网络的不同类型" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 3.1 无向无权网络" ] }, { "cell_type": "code", "execution_count": 31, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "nodes: [1, 2, 3]\n", "edges: [(1, 2), (1, 3), (2, 3)]\n", "number of edges: 3\n" ] } ], "source": [ "G = nx.Graph() #建立一个空的无向图G\n", "G.add_node(1) #添加一个节点1\n", "G.add_edge(2,3) #添加一条边2-3(隐含着添加了两个节点2、3)\n", "G.add_edge(3,2) #对于无向图,边3-2与边2-3被认为是一条边\n", "G.add_edges_from([(1,2),(1,3)]) #添加两条边1-2以及1-3\n", "print \"nodes:\", G.nodes() #输出全部的节点: [1, 2, 3]\n", "print \"edges:\", G.edges() #输出全部的边: [(2, 3)]\n", "print \"number of edges:\", G.number_of_edges() #输出边的数量: 1" ] }, { "cell_type": "code", "execution_count": 32, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAeIAAAFBCAYAAACrYazjAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nDACAQQQxAAAGEcQAABj0/wGsl2i8LBq22AAAAABJRU5ErkJggg==\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "nx.draw(G,with_labels=True)\n", "plt.savefig(\"undirected_network.png\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 3.2 有向无权网络" ] }, { "cell_type": "code", "execution_count": 33, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "nodes: [1, 2, 3, 4, 5, 6, 7]\n", "edges: [(1, 2), (1, 3), (2, 3), (3, 4), (3, 5), (3, 6), (4, 1), (6, 7)]\n", "number of edges: 8\n" ] } ], "source": [ "G = nx.DiGraph() #建立一个空的有向图G\n", "G.add_node(1) #添加一个节点1\n", "G.add_node(2) #添加一个节点2\n", "G.add_nodes_from([3,4,5,6]) #加点集合3,4,5,6\n", "G.add_cycle([1,2,3,4]) #加环\n", "G.add_edge(1,3) #加边1-3\n", "G.add_edges_from([(3,5),(3,6),(6,7)]) #加边集合,3-5,3-6,6-7\n", "\n", "print \"nodes:\", G.nodes() #输出全部的节点\n", "print \"edges:\", G.edges() #输出全部的边\n", "print \"number of edges:\", G.number_of_edges() #输出边的数量" ] }, { "cell_type": "code", "execution_count": 34, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAeIAAAFBCAYAAACrYazjAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\nAAALEgAACxIB0t1+/AAAIABJREFUeJzt3Xtc1HWi//H3KLcZRdS8lulpVUxTyhTrV5q2PVbzkonl\ntLuZ19aE3TbLW5xTmtYjjqZ1rGTU7Si6XdYxb3m/lItlrmJpuBqhaUezEguWSAcV+P7+QFlEQJQZ\nPszwej4e8xDn+52Z96DMm8/38vnaLMuyBAAAjKhlOgAAADUZRQwAgEEUMQAABlHEAAAYRBEDAGAQ\nRQwAgEEUMQAABlHEAAAYRBEDAGAQRQwAgEEUMQAABlHEAAAYRBEDAGAQRQwAgEEUMQAABlHEAAAY\nRBEDAGAQRQwAgEEUMQAABlHEAAAYRBEDAGAQRQwAgEEUMQAABlHEAAAYRBEDAGAQRQwAgEEUMQAA\nBlHEAAAYRBEDAGAQRQwAgEEUMQAABlHEAAAYRBEDAGAQRQwAgEEUMQAABlHEAAAYRBEDAGAQRQwA\ngEEUMQAABlHEAAAYRBEDAGAQRQwAgEEUMQAABlHEAAAYRBEDAGAQRQwAgEEUMQAABlHEAAAYRBED\nAGAQRQwAgEEUMQAABlHEAAAYRBEDAGAQRQwAgEEUMQAABlHEAAAYRBEDAGAQRQwAgEEUMQAABgWZ\nDgBUhYyMDC1JSlJ6aqp+yc5W3YgIRUZFafjIkWrcuLHpeABqMJtlWZbpEICvpKSkaE5CgtZt2KDB\nkqJzcxUuKUfSbrtdKy1L/fv21VPx8YqOjjacFkBNRBEjYC1wuTR1wgRN9ng03LLUoJR1siQl2Wya\nabdr2qxZGhMbW9UxAdRwFDEC0gKXSzMmTNCmM2fUpgLrH5bUx+HQZMoYQBWjiBFwUlJSNLBXL31c\nrITDJdkufG1J8kj6o6Q5xR53WFIPh0NrkpPVtWvXqgsMoEbjqGkEnDkJCZrs8VwyEs6R9POF2w+S\nHJKcJR7XRtIkj0dzEhKqJigAiBExAkxGRobatWqlI7m5pe4TlqTFkl5U4Qi4pExJrcPClH7sGEdT\nA6gSjIgRUJYkJSlGKrOEJWmJpGFlLGsoKcZm05KkJG9HA4BSUcQIKOmpqeqWm1vm8v+TtF3S8HKe\nI9rjUfr+/d6OBgCloogRUH7JzlZ4Ocv/Kqm7pFblrBMuKScry6u5AKAsFDECSt2ICOWUs/yvkkZc\n4TlyJIU3KG/jNgB4D0WMgBIZFaXdYWGlLvtU0neSHr7Cc6TY7Yrs1Mnb0QCgVBw1jYBS3lHTYyXl\nSkoq5/EcNQ2gqjEiRkBp0qSJ+vftq8U222XL5qn8EpakxTabBvTrRwkDqDKMiBFwSptZqyKYWQuA\nCYyIEXCio6M1bdYs9XE4Sp20ozQX55qeNmsWJQygSlHECEhjYmM1edYs9XA49JrNprJORsqU9Iqk\nLpJGPfssF3wAUOWCTAcAfGVMbKxuj47WnIQETV+/XjE2m6I9nqLrEW+32bTKsmRT4UUg9h84YDYw\ngBqJfcSoEU6dOqUlSUlK379fOVlZCm/QQL/k5end9967ZL1du3apW7duhlICqIkoYtRYBQUF6tq1\nq/bu3Vt0X8+ePbVt2zbZSjnqGgB8gX3EqLFq1aqlV1555ZL7kpOTtW7dOkOJANREjIhR4/Xt21cb\nN24s+nv79u2VmpqqoCAOoQDge4yIUePNmDHjkk3RX375pRYtWmQwEYCahBExIGnkyJFKKnYN4mbN\nmunw4cOqU6eOuVAAagRGxICkF198UWHFLhbxww8/6NVXXzWYCEBNQREDklq0aKGnn3666O9BQUE6\nd+6cwUQAago2TQMXZGdnq23bturYsaOOHDmiQ4cOKTg42HQsAAGOETFwQUREhNLS0vTRRx/p5ptv\n1vz5801HAlADMCIGSvHFF1+oT58+Sk9PV7169UzHARDAGBEDpbj11lt1//33a+bMmaajAAhwjIiB\nMhw/fly33XabUlNTdcMNN5iOAyBAUcRAOZ599ln9+OOPeuutt0xHARCgKGKgHNnZ2YqMjNSHH36o\njh07mo4DIACxjxgoR0REhP7zP/9TkydPNh0FQICiiIEriI2NLTqtCQC8jSIGriAkJEQvv/yyJk2a\npIKCAtNxAAQYihiogCFDhqhWrVpaunSp6SgAAgwHawEVlJycrBEjRigtLU2hoaGm4wAIEIyIgQrq\n2bOnOnXqpLlz55qOAiCAMCIGrsLBgwfVq1cvffXVV2rQoIHpOAACAEUMXKUxY8aofv36TH8JwCso\nYuAqfffdd+rUqZM+//xztWrVynQcAH6OIgauwZQpU/TNN99oyZIlpqMA8HMUMXANcnJyFBkZqfXr\n16tz586m4wDwYxw1DVyD8PBwTZkyRRMnThS/ywKoDIoYuEaPP/64jh8/rs2bN5uOAsCPUcTANQoO\nDtZ///d/a9KkScrPzzcdB4CfooiBShg0aJDq1q2rt99+23QUAH6Kg7WASvr000/129/+Vl999ZXs\ndrvpOAD8DCNioJLuuusuRUdHa86cOaajAPBDjIgBL0hPT9ddd92ltLQ0NWrUyHQcAH6EIga85E9/\n+pOCgoL0P//zP6ajAPAjFDHgJRkZGerQoYN27dql1q1bm44DwE+wjxjwkiZNmmjcuHH6r//6L9NR\nAPgRRsSAF50+fVqRkZFauXKlunXrZjoOAD/AiBjwojp16mj69OlMfQmgwihiwMuGDx+un376SWvX\nrjUdBYAfYNM04APr1q3TxIkTlZqaqqCgINNxAFRjjIgBH+jXr5+aNm2qRYsWmY4CoJpjRAz4SEpK\nigYNGqT09HTVqVPHdBwA1RQjYsBHoqOjdc8992j27NmmowCoxhgRAz509OhRde3aVQcPHlTTpk1N\nxwFQDVHEgI8988wzys3NVWJioukoAKohihjwsZ9++kk333yzPvnkE7Vr1850HADVDPuIAR+77rrr\nNHHiRMXHx5uOAqAaYkQMVAGPx6N27drp3XffVffu3U3HAVCNMCIGqoDdbtdLL73E1JcALkMRA1Vk\n6NCh8ng8WrFihekoAKoRNk0DVWjLli2Ki4vTwYMHlZWVpSVJSUpPTdUv2dmqGxGhyKgoDR85Uo0b\nNzYdFUAVoYiBKnbnnXeqlsejL9PTNVhSdG6uwiXlSNptt2ulZal/3756Kj5e0dHRhtMC8DWKGKhC\nC1wuPf/MM5qUm6tRkhqUsk6WpCSbTTPtdk2bNUtjYmOrOCWAqkQRA1VkgculGRMmaNOZM2pTgfUP\nS+rjcGgyZQwENIoYqAIpKSka2KuXPi6lhP8mabqkY5KaS0qSdPeFZYcl9XA4tCY5WV27dq2yvACq\nDkdNA1VgTkKCJns8l5XwFknxkhZL+kXSdkm/Kra8jaRJHo/mJCRUTVAAVY4RMeBjGRkZateqlY7k\n5l62T/huSY9LGlnO4zMltQ4LU/qxYxxNDQQgRsSAjy1JSlKMLj8wq0DSHkkZktpKainpSUlnS6zX\nUFKMzaYlSUk+TgrABIoY8LH01FR1y8297P6Tks5LWi5ph6R9kvZKeqmU54j2eJS+f78vYwIwhCIG\nfOyX7GyFl3K//cKff5bURIUj32ckrS9l3XBJOVlZvgkIwCiKGPCxuhERyinl/vqSWpS4z1bGc+RI\nCm9Q2lnHAPwdRQz4WGRUlHaHhZW6bKSkNySdUuFEHq9JeqCU9VLsdkV26uSzjADM4ahpwMfKO2o6\nT9JTkt5V4abqRyTNkBRSbB2OmgYCGyNiwMeaNGmi/n37arHt8g3PQZLmqnA0/J0KR8QhJdZZbLNp\nQL9+lDAQoBgRA1WgvJm1ysPMWkDgY0QMVIHo6GhNmzVLfRwOHa7gYy7ONT1t1ixKGAhgFDFQRcbE\nxmryrFnq4XDoNZtNZZ2MlCnpFUldJI157jku+AAEuCDTAYCaZExsrG6PjtachARNX79eMTaboj2e\nousRb5e0SoWnMXkk/d/x4ybjAqgC7CMGDDl16pSWJCUpff9+5WRlKbxBA2WePq33V6woWic4OFhf\nffWVbrrpJoNJAfgSRQxUI+fOndPNN9+so0ePFt03cuRILVy40GAqAL7EPmKgGgkJCdHUqVMvuW/x\n4sVKT083lAiAr1HEQDXz6KOPql27dkV/Lygo0AsvvGAuEACfooiBaiYoKEjTpk275L6//e1v2s/V\nl4CARBED1dCQIUPUqdjc0pZlaevWrQYTAfAVDtYCqqnVq1dr0KBBatmypfr27at58+aZjgTAByhi\noJqyLEv79+9XvXr11LVrV6WlpalRo0amYwHwMooY8ANxcXEKDw/XjBkzTEcB4GUUMeAHTpw4oaio\nKB04cEDNmjUzHQeAF1HEgJ94+umnVVBQoDlz5piOAsCLKGLAT5w8eVIdOnTQvn37dOONN5qOA8BL\nKGLAj8THxyszM1Pz5883HQWAl1DEgB/JzMxUZGSkdu3apdatW5uOA8ALmNAD8CMNGzbUk08+qenT\np5uOAsBLGBEDfiY7O1tt27ZVcnKy2rdvbzoOgEqiiAE/NGPGDH3++edaunSp6SgAKokiBvzQ6dOn\n1aZNG23cuFG33nqr6TgAKoF9xIAfqlOnjp599llNmTLFdBQAlcSIGPBTubm5atu2rZYvX65u3bqZ\njgPgGjEiBvxUWFiYnnvuOT3//POmowCoBIoY8GMjR47UoUOHtH37dtNRAFwjihjwYyEhIZo6daqe\ne+45sZcJ8E8UMeDnHn30UWVkZGjr1q2mowC4BhQx4OeCgoI0bdo0RsWAn6KIgQAwZMgQeTwerV27\n1nQUAFeJIgYCQK1atfTiiy/q+eefV0FBgek4AK4CRQwEiIEDByo4OFjLly83HQXAVWBCDyCAbNq0\nSePGjdM///lP1a5d23QcABXAiBgIIL1791ajRo307rvvmo4CoIIYEQMBJjk5WaNGjVJaWpqCg4NN\nxwFwBYyIgQDTs2dP/epXv1JSUpLpKAAqgBExEID+8Y9/yOl0Kj09XWFhYabjACgHI2IgAN155526\n9dZb9Ze//MV0FABXwIgYCFB79+5V//79dfjwYTkcDtNxAJSBETEQoDp37qy7775bc+fONR0FQDkY\nEQMB7ODBg+rVq5cOHz6sevXqmY4DoBSMiIEA1qFDB/Xp00dz5swxHQVAGRgRAwHu8OHDuvPOO5We\nnq6GDRuajgOgBEbEQIBr06aNYmJiNHv2bNNRAJSCETFQAxw7dkydO3dWWlqaGjdubDoOgGIoYqCG\nePLJJxUaGqpZs2aZjgKgGIoYqCG+//57dezYUfv379f1119vOg4qKCMjQ0uSkpSemqpfsrNVNyJC\nkVFRGj5yJFs3AgRFDNQgEydOlMfj0Ztvvmk6Cq4gJSVFcxIStG7DBg2WFJ2bq3BJOZJ22+1aaVnq\n37evnoqPV3R0tOG0qAyKGKhBTp06pZtvvlmff/657HY7I61qaoHLpakTJmiyx6PhlqUGpayTJSnJ\nZtNMu13TZs3SmNjYqo4JL6GIgRpm9OjR2vnhh/r+5ElGWtXQApdLMyZM0KYzZ9SmAusfltTH4dBk\nythvUcRVhP08qA4WuFyaOn68Jng8GiUx0qpmUlJSNLBXL31crITPSYqTtFWF/zatJb0s6f5ijzss\nqYfDoTXJyeratWuVZkblUcQ+xn4eVBeMtKq/oYMHq+uqVRpX7GP5jKRZkkZKulHSOkm/k/RPSS2L\nPfY1m02fx8Tor8uXV2FieIUFn5mfmGg1czis12w2K1OyrFJumZL1qs1mNXM4rPmJiaYjI0Dt3r3b\nauZwWIdK/P8bKlnNJCtCstpJ1lsllh+SrGYOh5WSkmL6LQS8kydPWvXDwsr8rCh+i5KsFSXu+0my\n6oeFWRkZGabfCq4SM2v5yMXRx8dnzmhcGQdbSIWbBp+2LH185oxmTJigBS5XVcZEDTEnIUGTPZ7L\nRsLxko5K+pekDyQ9J2lvseVtJE3yeDQnIaFqgtZgS5KSFKPSdxcUd1LSIUm3lLi/oaQYm01LkpJ8\nkA6+xKZpHyhtP48k9ZK0S1KwJEtSC0lfFlvOfh74QkZGhtq1aqUjubnlfsh/JeleSa9LerjY/ZmS\nWoeGavf+/apXr57OnTt3Tbfz58+rS5cu6tGjhy/frtcVFBRc8X1d6/ek+O2TzZv1xyNHNLacLHmS\n+kpqKymxlOUuSfsee0zzlyzxxbcCPhJkOkAgKmv0YVPhD8/IMh5XfPTBfh54y5VGWn+UlCTJI+l2\nSf1KLG8oqc/Zs2oXGanK/tY+adIk9ejR44rl5svCu9rnys/PV2hoqEJCQhQSEqLg4OCirytzczgc\nioiIKPp76o4dCi/ne2dJGiopVNIbZawTLiknK6uS/0qoahSxl2VkZGjdhg16o4wNDVf6IBtuWXph\n7VqtXr1a9erVU35+vvLz81VQUHDJnxX5ujLrzpgxQ6Ghod7/BuESlmVV+N/rWv89t2/erH65uWVm\nmCvpTUk7Jf1dhR/0JfWUtFpS2c9SMbNnz9bs2bMvK7fSbtdSeA6HQ/Xr1/fKc1281a5dWzabrZLv\nvGw//fSTFi1apENHjyqnnPVGS/pR0npJtctYJ0dSeIMrbdxGdUMRe9mVRh/xkp6V1E7SSyr8gCuu\noaS+584pZtCgSo8+KmPcuHFyOBxeL/iq+CXCxLrX+jjLsmSz2VS7dm3Vrl1btWrVKvfrKy0vbd1j\nBw7okSv8e9sk3SXpryrcvPmnEsvD5Z0Pi9GjR2vu3Lk+L7fqzrIs7d69W4mJiVq6dKnOnj0rm6Rk\nqdRN02MlpanwFKaQcp43xW7XLZ06+SAxfIki9rL01FR1K2P0MVNSBxX+IL0n6QFJX0i6qcR63hp9\nVMZtt92m4OBgrxaCt9e9eAsJCakWea42e61atVSrVi2fF9KYoUOV8847FVo3T9LXpdyfI6lWcLCa\nNGhQqZFm9+7dFRRUcz92Tp8+rffee0+JiYnau3fvJcssSatUeK5w8V/kj0laIClMUtML99kkzVfh\naUwXZUpaaVmaMWKEb8LDZ2ruT4SP/JKdXeZ+nuJnCQ9TYRmvV+E+uuK8NfqojCNHjnAR+QARGRWl\n3cuXa2yJXxBPSfpI0gBJdklbJP3twq2kT4OC9Ic//UmvzJ5do0ey1yotLU0ul0uLFy9WdnZ2mesF\n2WxaZFl6pth9LSUVVOA1FttsGtCvHxME+SHTn/cBp25ERLn7eYqzqfR9xjmSrmvSRF3at7/qEZa3\n1rXb7d77psCoYSNGqN3UqZqtS0daNhVuho5V4Qd9K0lzJPUv8fhMSassS/WXLdO6DRvkdDrldDp1\nyy0lT6BBcefPn9fq1auVmJiobdu2lbvuTTfdpLFjx+q2227T8JgYDazgpCsXHZY0027Xmvj4SmWG\nIQbPYQ5Ir8yYYY0MC7vsBPx/SdYmycqVrDzJeluy6l6YMKHkuiPtdmvWzJmm3woCyKMxMdZrNtsV\nJ4oo7faqzWYNHTzYKigosHbt2mWNHz/euvHGG60OHTpYL7zwgnXw4EHTb69aOX78uDVlyhSrefPm\nlgp/1y71ZrPZrAEDBljr1q2z8vLyih4/PzHR+lUpk6+UdTskWb9iQiC/RhF7WVmz45ySrGjJqidZ\nDSTr/0nWh6X8UDE7DnyhrJm1KvIhX9rMWvn5+dbOnTutcePGWTfccIPVsWNHa/r06VZaWpqhd2hW\nfn6+tWXLFmvw4MFW7dq1yy3gxo0bW/Hx8dbRo0fLfL6Ls/K9Ws6sfD9J1mxm5QsIFLEPeGP0AXib\nr0Za+fn51ieffGL9+c9/tpo3b25FRUVZL730kpWenl5F78yczMxM69VXX7UiIyPLLV9JVvfu3a13\n3nnHys3NrdBzp6SkWEMHD7bqh4VZI+12K1Gy/ipZiRe2mtUPC7OGDh7M9KMBgJm1fKCsmbWuhJm1\n4GsLXC49N26cJp07p9Eq/TS7TBVefemVa7j6UkFBgXbs2CG32633339fzZs3l9Pp1JAhQ9S6dWtv\nvQ3j9uzZI5fLpffee08ej6fM9erWrauhQ4cqNjZWUVFR1/Rap06dKrxy2/79ysnKUniDBors1EnD\nRozgwKxAYfo3gUDFfh5UV/369bPskhUmWY9cGGH5YqSVl5dn/f3vf7fi4uKspk2bWl26dLFmzJhh\nHTlyxEvvxIyXX375iqPfW265xZo7d66VnZ1tOi78ACNiH1rgcmnqhAma5PFoRBkXfqjM6AO4Wnl5\neWratKkyMzMlFR45PbB3bzlCQnw60srPz9f27dvldru1fPly/cd//EfRSLlVq1ZefS1fW7lypQYP\nHnzZ/cHBwXrooYcUFxen7t27c5oXKowi9rE9e/ZoTkKC1q5frxibTdEeT9H1iFMuXI94QL9+eio+\nns3R8Lnt27erZ89/z+fWsGFDnTx5skon2cjLy1NycrLcbrdWrFih1q1by+l06uGHH1bLli2v/AQG\nnDt3TitXrlRiYqIOHTqkoKAgHT9+XJLUsmVLPfHEExo9erSaNm16hWcCLkcRVxH286A6+PTTTzV9\n+nRt2rRJkvTYY49picEr9Zw/f17btm2T2+3WqlWrFBkZWVTKLVq0MJbromPHjmnBggV666231KFD\nB8XFxenBBx/U8uXLtXjxYsXFxalfv36qXbus2Z+BK6OIgRpmw4YNeumllzR+/Hi1aNFC3bp1Mx1J\nUmEpf/jhh3K73Vq9erXat29fVMrXX399leUoKCjQli1blJiYqE8++URDhw7V2LFj1b59+yrLgJqF\nIgZqmNjYWLVu3VoTJkwwHaVM586d09atW+V2u/XBBx+oY8eORaXcrFkzn7zmxasgzZs3T+Hh4frj\nH/+o3/3ud6pTp45PXg+4iCIGahDLstSiRQtt27ZNkZGRpuNUyNmzZ7Vlyxa53W6tWbNGt912m5xO\npwYPHlzpfbKWZWnXrl1yuVxavXq1HnzwQcXGxuqOO+7gYCtUGYoYqEE+++wz/f73v9dXX31lOso1\nyc3N1ebNm+V2u7Vu3TrdfvvtRaV8NcdaFL8KUnZ2tsaOHauRI0eqUaNGPkwPlI4iBmqQqVOn6syZ\nM3rllVdMR6k0j8ejjRs3yu12a8OGDYqOjpbT6VRMTEyZhXrxKkhvv/22unfvrtjYWPXu3Vu1atWq\n4vTAv1HEQA3SuXNnvf766+rRo4fpKF515swZbdiwQW63Wxs3btSdd95ZVMrh4eFFV0E6ePCgRo8e\nrTFjxvjd+csIXBQxUEMcO3ZMt99+u3744YcqPW+4qp0+fVrr16/X4sWLtXXrVklSq1atNHHiRA0b\nNkwhISGGEwKXCtyfRgCXWLNmjfr37x/QJVxQUKCdO3fqvffe06effqphw4YpMjJSO3fu1Pjx47Vy\n5Uo98sgjGjhwoOrXr286LiCJIgZqjA8++EBjxowxHcMnsrKylJSUpHnz5ik0NFRxcXFavHixwsPD\ni9bJycnR2rVr5Xa79eSTT6pnz55yOp0aOHCg6tWrZzA9ajo2TQM1wM8//6wWLVroxIkTl5STv9uz\nZ48SExO1YsUK9e/fX3FxcbrrrruueOrRzz//rA8++EBut1vJycm699575XQ69cADDwTU9wf+gSIG\naoBly5Zp4cKF2rBhg+kolXbmzBktXbpULpdLGRkZGjt2rEaNGqUmTZpc0/P961//Kirljz/+WPfd\nd5+cTqcGDBigunXrejk9cDmKGKgBHnvsMd11112K9eOrex06dEjz5s3T4sWLdccddyguLk7333+/\nV+d5zsrK0urVq+V2u7Vjxw795je/kdPpVP/+/ZlhCz5DEQMB7uKlD7/44otqcSGFq5GXl6c1a9bI\n5XJp3759GjVqlJ544gnddNNNPn/tzMxMrVq1Sm63Wzt37lSfPn3kdDrVr18/ORwOn78+ag6KGAhw\nycnJeuaZZ/TZZ5+ZjlJh33//vd566y0tWLBALVu2VFxcnB5++GGFhoYayfPjjz8WlfLu3bvVt29f\nOZ1O3X///bLb7UYyIXAwnQwQ4D744AMNHDjQdIwrsixL27Ztk9PpVIcOHXTixAmtXbtWO3bs0KOP\nPmqshCWpUaNGevzxx7V582YdOnRI9957r9588001b95cjz76qFavXq3c3Fxj+eDfGBEDAcyyLLVt\n21bLli1T586dTccpVXZ2tpYsWSKXyyWbzaa4uDgNHTpUERERpqNd0cmTJ7VixQq53W7t27dPAwYM\nkNPpVO/evY3+4gD/QhEDAezLL79U7969dezYsWp3NaG9e/fK5XJp2bJl6tOnj2JjY3XPPfdUu5wV\n9cMPP2j58uVyu93av3+/HnjgATmdTv3mN79hNi+UiyIGAtiMGTN07NgxzZ0713QUSYVXT1q2bJkS\nExN14sQJjRkzRo8//rjPrjFsynfffVdUygcOHNCDDz4op9Op++67j1LGZShiIIDdfffdmjJlivr0\n6WM0x9dff6358+dr0aJF6tKli2JjYwN+us2Lvv3226JSTktL06BBg+R0OvXrX/9awcHBResVFBTI\nZrP57RYBXDuKGAhQGRkZioyM1MmTJ43sr8zPz9f69euVmJioPXv2aPjw4Ro7dqzatGlT5Vmqi+PH\nj2vZsmVyu936+uuvFRMTI6fTqV69eundd99VQkKCnE6nnE6nbrnlFtNxUUUoYiBALVq0SOvXr9ey\nZcuq9HVPnjyp//3f/9X8+fPVvHlzxcbGyul0cppPCd98843ef/99ud1uffPNN7Lb7Tp27FjR8g4d\nOhSVcvv27Q0mha9RxECAiomJ0eDBg/XYY4/5/LUsy9Inn3yixMREbdy4UQ899JBiY2PVpUsXn792\nINi3b5+6du2q/Pz8Upd37NixqJTbtWtXxengaxQxEIA8Ho+aNm2qo0eP6rrrrvPZ6/z88896++23\nlZiYqLy8PMXGxmrYsGFq0KCBz14zEG3evFn9+/dXXl7eFdeNiooqKuW2bdtWQTr4GkUMBKB169Zp\n5syZSk5O9snzp6amyuVyaenSpfr1r3+tuLg43XvvvRxoVAmZmZlavXq1li5dqq1bt5Y5Oi6uc+fO\ncjqdGjIw2GaEAAAHsUlEQVRkiFq3bn1Nr5uRkaElSUlKT03VL9nZqhsRocioKA0fOVKNGze+pufE\n1aGIgQD0xBNPKDIyUuPHj/fac549e1bLly9XYmKijh49WnTq0Q033OC110Chn376SStXrpTb7dZH\nH31UoVLu0qVLUSlXZC7ulJQUzUlI0LoNGzRYUnRursIl5UjabbdrpWWpf9++eio+XtHR0ZV+Tygb\nRQwEmIKCArVo0ULJycle2XT5zTffaP78+Vq4cKE6deqkuLg4PfDAA5ecegPfOXXqVFEpb9u2TQUF\nBVd8THR0dFEpt2rV6rLlC1wuTZ0wQZM9Hg23LJW2IyFLUpLNppl2u6bNmqUxfnzlruqOIgb8XMlN\ni2fz8vTJZ5/pnwcOXPOmxfz8fG3atEkul0uffvqphg0bprFjx3KgkGEZGRlFU2omJydXqJTvuOMO\nOZ1OPfzww2rZsqUWuFyaMWGCNp05o4qcSHZYUh+HQ5MpY5+hiAE/Vd6mxR1BQVobFHTVmxZPnTql\nhQsXav78+WrYsKHi4uL029/+lsv+VUM//PBDUSlv375dFfko79Spk75PS9PO8+cvK+FDkqIkDZG0\npMSyw5J6OBxak5ysrl27eiU/irEA+J35iYlWM4fDes1mszIlyyrllilZr9psVjOHw5qfmFjmcxUU\nFFg7duywhg4dakVERFgjRoywdu/eXYXvBpX13XffWW+88YbVo0cPy2azWZJKvTkka1YZ/196S9Y9\nkvVYGctftdmsoYMHm36rAYkRMeBnvLVp8ZdfftE777wjl8ul06dPKzY2ViNGjFDDhg19lh2+d+LE\niaIpNXfs2HHJsjBJ30mX7RP+m6RVkjqo8P9LyRGxJGVKah0WpvRjxzia2ssoYsCPpKSkaGCvXvq4\nWAnPlZQkab+k30taWMrjim9adDgccrlceuedd9SzZ0/FxcXpvvvuU61aXJ480Bw/frxo9q5d//iH\nHpH0Xol1fpYULWmbpL9I+lqlF7EkjbLbdcu0aRo/caLvQtdAgT/jOhBA5iQkaLLHc8lI+AZJz0va\nJMlTxuPaSJro8eihvn11LihIf/jDH/TFF1/oxhtv9HVkXCXLsnT+/HmdPXtWZ8+e1blz58r9+krL\nz549q+7duysnI0M9jxy57PWmSPqDpOsrkC3a49G+/fu9/ZZrPIoY8BMZGRlat2GD3iixEWvQhT9T\nJJ0o5/EjLEvTsrN18OjRcs/9vdoiKOvrzp07q1evXpV92z5TUFBQ6ffoi6/PnTunoKAghYaGKjQ0\nVCEhIZX62m63q379+gq32xVe4nuwT9LWC39WRLiknKwsr/47gCIG/MaSpCTF6PL9exXVUFL/vDzd\ndeedqt+wYblF4A3jxo1Tz549lZeXV21KrvjX+fn5RYXljcKLiIi45P5rfb6QkBCf7CY49MUXyjlw\n4JL7kiX9n6SWKjya6xdJ+ZIOStpTynPkSApn+lKvo4gBP5GemqpuubmVeo4elqWV336rY99+66VU\nZXv99dc1Z84c1a5du1KlVPK+evXqVbo0Q0NDFRQUVKOm5IyMitLu5cs1ttj/oSck/a7YOq+osJjn\nlfEcKXa7bunUyXchayiKGPATv2RnX7Zp8WqFq+p+6IcOHaqFCxeqdu3aVfSKKM+wESPUbupUzda/\nt6qEXbhdVPfC30s7bj5T0krL0owRI3yasyaiiAE/UTciQjmVfI4cSVe+vo8UHBxc6c21d9xxByVc\njTRp0kT9+/bV4lWrNK6Mk2WmlvP4xTabBvTrx6lLPkARA36itE2LUuE+vfMX/syTdFaFP9ilVeCu\nkBCNGTNGox5/vMwCDQ4O5lSmAPVUfLwGbtqkARU8B/2iw5Jm2u1aEx/vq2g1GucRA34iIyND7Vq1\n0pHc3EsO2Jp24VZ8b+dUFZ6WUhwTMkDy3oQw8B5+7QX8RNGmxRIHGE2VVKDCEfHFW8kSlti0iEJj\nYmM1edYs9XA49JrNprJORsqU9KrNph6UsM8xIgb8SGkza1UEk/ajpD179mhOQoLWrl+vGJtN0R5P\n0UVDUi5cj3hAv356Kj6e/zM+RhEDfoZNi/CmU6dOFV5Gc/9+5WRlKbxBA0V26qRhI0aw9aSKUMSA\nH7p4YfdJHo9GlHFh90wVXtj9FS7sDlRrFDHgp9i0CAQGihjwc2xaBPwbRQwAgEGcvgQAgEEUMQAA\nBlHEAAAYRBEDAGAQRQwAgEEUMQAABlHEAAAYRBEDAGAQRQwAgEEUMQAABlHEAAAYRBEDAGAQRQwA\ngEEUMQAABlHEAAAYRBEDAGAQRQwAgEEUMQAABlHEAAAYRBEDAGAQRQwAgEEUMQAABlHEAAAYRBED\nAGAQRQwAgEEUMQAABlHEAAAYRBEDAGAQRQwAgEEUMQAABlHEAAAYRBEDAGAQRQwAgEEUMQAABlHE\nAAAYRBEDAGAQRQwAgEEUMQAABlHEAAAYRBEDAGAQRQwAgEEUMQAABlHEAAAYRBEDAGAQRQwAgEEU\nMQAABlHEAAAYRBEDAGAQRQwAgEEUMQAABlHEAAAYRBEDAGAQRQwAgEEUMQAABlHEAAAYRBEDAGAQ\nRQwAgEEUMQAABlHEAAAYRBEDAGAQRQwAgEEUMQAABlHEAAAYRBEDAGDQ/wcN29CnYJQreAAAAABJ\nRU5ErkJggg==\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "nx.draw(G,with_labels=True) #绘图\n", "plt.savefig(\"directed_network.png\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 3.3 无向加权网络" ] }, { "cell_type": "code", "execution_count": 35, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAeIAAAFBCAYAAACrYazjAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nBWSIJUkKyBBLkhTQ/wO3FJVH5Ord7wAAAABJRU5ErkJggg==\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "G = nx.Graph() #建立一个空的无向图G\n", "G.add_edge(2,3) #添加一条边2-3(隐含着添加了两个节点2、3)\n", "G.add_weighted_edges_from([(3, 4, 3.5),(3, 5, 7.0)]) \n", "\n", "nx.draw(G,with_labels=True)\n", "plt.savefig(\"undirected_weighted_network.png\")" ] }, { "cell_type": "code", "execution_count": 36, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "{}\n", "{'weight': 3.5}\n", "{'weight': 7.0}\n" ] } ], "source": [ "print G.get_edge_data(2, 3) #读取边2-3的权重属性\n", "print G.get_edge_data(3, 4) #读取边3-4的权重属性\n", "print G.get_edge_data(3, 5) #读取边3-5的权重属性" ] }, { "cell_type": "code", "execution_count": 37, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "3.5" ] }, "execution_count": 37, "metadata": {}, "output_type": "execute_result" } ], "source": [ "G[3][4]['weight'] #查看边3-4的权重属性" ] }, { "cell_type": "code", "execution_count": 39, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "[(2, 3), (3, 4), (3, 5)]" ] }, "execution_count": 39, "metadata": {}, "output_type": "execute_result" } ], "source": [ "G.edges() #查看所有边" ] }, { "cell_type": "code", "execution_count": 38, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "[(2, 3, {}), (3, 4, {'weight': 3.5}), (3, 5, {'weight': 7.0})]" ] }, "execution_count": 38, "metadata": {}, "output_type": "execute_result" } ], "source": [ "G.edges(data=True) #查看所有边的属性" ] }, { "cell_type": "code", "execution_count": 44, "metadata": { "collapsed": false }, "outputs": [], "source": [ "G[3][4]['weight'] = 1 #更改边3-4的权重属性" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 3.4 有向加权网络" ] }, { "cell_type": "code", "execution_count": 45, "metadata": { "collapsed": false, "scrolled": true }, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAeIAAAFBCAYAAACrYazjAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nYII=\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "G = nx.Graph() #建立一个空的无向图G\n", "G = G.to_directed() #转化成有向图G\n", "G.add_edge(2,3) #添加一条边2-3(隐含着添加了两个节点2、3)\n", "G.add_weighted_edges_from([(3, 4, 3.5),(3, 5, 7.0)]) #添加两条有向边3-4和3-5,权重分别为3.5和7.0\n", "\n", "nx.draw(G,with_labels=True)\n", "plt.savefig(\"directed_weighted_network.png\")" ] }, { "cell_type": "code", "execution_count": 48, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "[(2, 3, {}), (3, 4, {'weight': 3.5}), (3, 5, {'weight': 7.0})]" ] }, "execution_count": 48, "metadata": {}, "output_type": "execute_result" } ], "source": [ "G.edges(data=True) #查看所有边属性" ] }, { "cell_type": "code", "execution_count": 46, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "{}\n", "{'weight': 3.5}\n", "{'weight': 7.0}\n" ] } ], "source": [ "print G.get_edge_data(2, 3) #读取边2-3的权重属性\n", "print G.get_edge_data(3, 4) #读取边3-4的权重属性\n", "print G.get_edge_data(3, 5) #读取边3-5的权重属性" ] }, { "cell_type": "code", "execution_count": 47, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "None\n", "None\n", "None\n" ] } ], "source": [ "print G.get_edge_data(3, 2) #读取边3-2的权重属性\n", "print G.get_edge_data(4, 3) #读取边4-3的权重属性\n", "print G.get_edge_data(5, 3) #读取边5-3的权重属性" ] }, { "cell_type": "code", "execution_count": 49, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "nodes: [2, 3, 4, 5]\n", "edges: [(2, 3), (3, 4), (3, 5)]\n", "number of edges: 3\n" ] } ], "source": [ "print \"nodes:\", G.nodes() #输出全部的节点\n", "print \"edges:\", G.edges() #输出全部的边\n", "print \"number of edges:\", G.number_of_edges() #输出边的数量" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 3.5 有向网络和无向网络可以互相转换\n", "- Graph.to_undirected():有向网络转换成无向网络\n", "- Graph.to_directed():无向网络转换成有向网络" ] }, { "cell_type": "code", "execution_count": 50, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAeIAAAFBCAYAAACrYazjAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nAwBgEEUMAIBBFDEAAAZRxAAAGPT/AYLOaAsxQ3IRAAAAAElFTkSuQmCC\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "G = G.to_undirected() \n", "nx.draw(G,with_labels=True)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# 4 无向无权网络的分析" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 4.1 节点的平均度" ] }, { "cell_type": "code", "execution_count": 99, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAeIAAAFBCAYAAACrYazjAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "G = nx.Graph() \n", "G.add_nodes_from(['A','B','C','D','E'])\n", "G.add_edges_from([('A','B'),('B','C'),('B','D'),('C','D'),('C','E'),('D','E')])\n", "nx.draw(G,with_labels=True, node_size = 800)" ] }, { "cell_type": "code", "execution_count": 63, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "the node number of this network is 5\n", "the edge number of this network is 6\n", "the average degree of this network is 2.4\n" ] } ], "source": [ "#计算方式1:2*所有的连边数/所有的节点数\n", "print 'the node number of this network is', G.number_of_nodes()\n", "print 'the edge number of this network is', G.number_of_edges()\n", "print 'the average degree of this network is', 2.0*G.number_of_edges()/G.number_of_nodes()" ] }, { "cell_type": "code", "execution_count": 55, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "1" ] }, "execution_count": 55, "metadata": {}, "output_type": "execute_result" } ], "source": [ "G.degree('A') #获得单个节点A的度值" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "collapsed": true }, "outputs": [], "source": [ "G.degree(['A','B']) #获得节点A和节点B的度值" ] }, { "cell_type": "code", "execution_count": 56, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "{'A': 1, 'B': 3, 'C': 3, 'D': 3, 'E': 2}" ] }, "execution_count": 56, "metadata": {}, "output_type": "execute_result" } ], "source": [ "G.degree() #获得图G中所有节点的度值" ] }, { "cell_type": "code", "execution_count": 59, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "[1, 3, 3, 2, 3]" ] }, "execution_count": 59, "metadata": {}, "output_type": "execute_result" } ], "source": [ "G.degree().values() #以列表形式展现所有节点的度值" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "collapsed": true }, "outputs": [], "source": [ "G.degree().values() #以列表形式展现所有节点的度值" ] }, { "cell_type": "code", "execution_count": 64, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "the average degree of this network is 2.4\n" ] } ], "source": [ "#计算方式2:所有节点的度的平均值\n", "print 'the average degree of this network is', mean(G.degree().values()) " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 4.2 网络的密度" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### 4.2.1 网络的方阵表示\n", "邻接矩阵是计算机中表示一个网络的常用方式,网络$G$的邻接矩阵$A$是一个$N$阶方阵,$N$为网络规模,即节点数目。 \n", "无权无向图G的邻接矩阵A中:\n", "- $a_{ij}=1$ 表示节点$i$和节点$j$之间有边\n", "- $a_{ij}=0$ 表示节点$i$和节点$j$之间没有边" ] }, { "cell_type": "code", "execution_count": 104, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ " (0, 2)\t1\n", " (1, 2)\t1\n", " (1, 3)\t1\n", " (1, 4)\t1\n", " (2, 0)\t1\n", " (2, 1)\t1\n", " (2, 4)\t1\n", " (3, 1)\t1\n", " (3, 4)\t1\n", " (4, 1)\t1\n", " (4, 2)\t1\n", " (4, 3)\t1\n" ] } ], "source": [ "A_sparse = nx.adjacency_matrix(G) \n", "print A_sparse " ] }, { "cell_type": "code", "execution_count": 105, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[[0 0 1 0 0]\n", " [0 0 1 1 1]\n", " [1 1 0 0 1]\n", " [0 1 0 0 1]\n", " [0 1 1 1 0]]\n" ] } ], "source": [ "A_dense= A_sparse.todense() #三元组转化为二维矩阵形式\n", "print A_dense\n", "#特点:(1) 对角线上的元素(对角元)取值均为0\n", "# (2) 矩阵对称,节点i和节点j之间存在连边,那么节点j和节点i之间也存在连边" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### 4.2.2 网络密度的计算" ] }, { "cell_type": "code", "execution_count": 65, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "the node number of this network is 5\n", "the edge number of this network is 6\n", "the density of this network is 0.6\n" ] } ], "source": [ "#网络的密度=实际边数/最大可能的边数\n", "#设网络的节点数为m,连边数为n,则网络的密度d=2*n/(m*(m-1))\n", "print 'the node number of this network is', G.number_of_nodes()\n", "print 'the edge number of this network is', G.number_of_edges()\n", "print 'the density of this network is', 2.0*G.number_of_edges()/(G.number_of_nodes()*(G.number_of_nodes()-1))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 4.3 模型网络的生成" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### 4.3.1 规则网络的生成" ] }, { "cell_type": "code", "execution_count": 67, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAeIAAAFBCAYAAACrYazjAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "RG = nx.random_graphs.random_regular_graph(4,20) #生成包含20个节点、每个节点有4个邻居的规则网络\n", "pos = nx.spring_layout(RG) \n", "nx.draw(RG,pos, with_labels=True, node_size =800) #绘制规则网络的图形" ] }, { "cell_type": "code", "execution_count": 70, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "[4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]" ] }, "execution_count": 70, "metadata": {}, "output_type": "execute_result" } ], "source": [ "RG.degree().values() #以列表形式展现所有节点的度值" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### 4.3.2 ER随机网络的生成" ] }, { "cell_type": "code", "execution_count": 78, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAeIAAAFBCAYAAACrYazjAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nRK5CYII=\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "ER = nx.random_graphs.erdos_renyi_graph(20,0.16) #生成包含20个节点、以概率0.2连接的ER随机网络\n", "pos = nx.spring_layout(ER) \n", "nx.draw(ER,pos, with_labels=True, node_size =800) #绘制ER随机网络的图形" ] }, { "cell_type": "code", "execution_count": 79, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "[3, 2, 3, 4, 2, 2, 2, 2, 2, 4, 3, 3, 2, 1, 1, 2, 1, 4, 2, 1]" ] }, "execution_count": 79, "metadata": {}, "output_type": "execute_result" } ], "source": [ "ER.degree().values() #以列表形式展现所有节点的度值" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### 4.3.3 SW小世界网络的生成" ] }, { "cell_type": "code", "execution_count": 82, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAeIAAAFBCAYAAACrYazjAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "WS = nx.random_graphs.watts_strogatz_graph(20,4,0.3) #生成包含20个节点、每个节点4个近邻、随机化重连概率为0.3的小世界网络 \n", "pos = nx.circular_layout(WS) #定义一个布局,此处采用了circular布局方式\n", "nx.draw(WS,pos, with_labels=True, node_size =800) #绘制WS小世界网络的图形" ] }, { "cell_type": "code", "execution_count": 83, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAeIAAAFBCAYAAACrYazjAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "WS = nx.random_graphs.watts_strogatz_graph(20,4,0) #p=0时,生成规则网络\n", "nx.draw(WS,pos, with_labels=True, node_size =800) " ] }, { "cell_type": "code", "execution_count": 84, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAeIAAAFBCAYAAACrYazjAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nxAAAAABJRU5ErkJggg==\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "WS = nx.random_graphs.watts_strogatz_graph(20,4,1.0) #p=1时,生成ER随机网络\n", "nx.draw(WS,pos, with_labels=True, node_size =800) " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### 4.3.4 BA无标度网络的生成" ] }, { "cell_type": "code", "execution_count": 85, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAeIAAAFBCAYAAACrYazjAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nSUVORK5CYII=\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "BA = nx.random_graphs.barabasi_albert_graph(20,2) #生成n=20、m=1的BA无标度网络\n", "pos = nx.spring_layout(WS) #定义一个布局,此处采用了spring布局方式\n", "nx.draw(WS,pos, with_labels=True, node_size =800) #绘制BA无标度网络的图形" ] }, { "cell_type": "code", "execution_count": 86, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "[4, 13, 8, 7, 2, 4, 5, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2]" ] }, "execution_count": 86, "metadata": {}, "output_type": "execute_result" } ], "source": [ "BA.degree().values() #以列表形式展现所有节点的度值" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 4.4 网络的度分布\n", "\n", "- 网络平均度:网络中所有节点度的平均值,反映了网络的疏密程度\n", "- 度分布(Degree Distribution):网络中随机选取的一个节点的度为k的概率P(k),通过网络中节点度的分布规律刻画不同节点的重要性。\n", "- 度分布的实际应用:在大规模网络中,度分布通常作为区分不同类型网络的指标,比如ER随机图服从“泊松分布”,在线社交网络等复杂网络服从“幂律分布”。\n", "- 度分布函数P(k):网络中度为k的节点在整个网络中所占的比例,即度值为k的节点数目与网络总节点数目的比值。" ] }, { "cell_type": "markdown", "metadata": { "collapsed": false }, "source": [ "### 4.4.1 ER随机网络的度分布" ] }, { "cell_type": "code", "execution_count": 96, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAYwAAAEZCAYAAACEkhK6AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nPsWt+1XofQAAAABJRU5ErkJggg==\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "G = nx.random_graphs.erdos_renyi_graph(10000,0.001) \n", "degree = nx.degree_histogram(G) \n", "degree_index = range(len(degree)) \n", "degree_distribution = [degree_i / float(sum(degree)) for degree_i in degree] #将频次转换为概率\n", "\n", "plot(degree_index,degree_distribution,'b-',marker='o')\n", "title(\"Degree distribution plot\")\n", "ylabel(\"density\")\n", "xlabel(\"degree\")\n", "\n", "savefig(\"ER_degree_histogram.png\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### 4.4.2 BA无标度网络的度分布" ] }, { "cell_type": "code", "execution_count": 98, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAY8AAAEdCAYAAAD0NOuvAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "G = nx.random_graphs.barabasi_albert_graph(10000,2) #生成n=10000、m=2的BA无标度网络\n", "degree = nx.degree_histogram(G) \n", "degree_index = range(len(degree)) \n", "degree_distribution = [degree_i / float(sum(degree)) for degree_i in degree] #将频次转换为概率\n", "\n", "loglog(degree_index,degree_distribution,'b-',marker='o')\n", "title(\"Degree distribution plot\")\n", "ylabel(\"density\")\n", "xlabel(\"degree\")\n", "\n", "savefig(\"BA_degree_histogram.png\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 4.5 网络聚类系数\n", "聚类系数(Clustering Coefficient):网络中与同一节点相连的节点之间也互为邻域节点的程度。 \n", "节点聚类系数数学公式:\n", "\n", "对于网络中的节点i,聚类系数Ci定义为与它相邻的节点间也存在连接的平均概率。假设节点i的度为ki,也即节点i所连接的邻居个数;Ei表示ki个邻居之间实际存在的边数;ki个邻居之间可能存在边的数目上限0.5ki(ki-1)。\n", "\n", "节点的聚类系数在社交网络中有直观的含义,通俗地讲,聚类系数定量刻画你的任意两个朋友之间也互相为朋友的概率,反映的是你的朋友圈的紧密程度。" ] }, { "cell_type": "code", "execution_count": 106, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAeIAAAFBCAYAAACrYazjAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nWERExCIFsYiIiEUKYhEREYv+D/0YUQbpS+szAAAAAElFTkSuQmCC\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "G = nx.Graph() \n", "G.add_nodes_from([1,2,3,4,5,6]) \n", "G.add_edges_from([(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(3,4),(4,5)]) \n", "pos = nx.spring_layout(G)\n", "nx.draw(G,pos,with_labels=True,node_size = 800) " ] }, { "cell_type": "code", "execution_count": 107, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "{1: 0.3, 2: 1.0, 3: 0.6666666666666666, 4: 0.6666666666666666, 5: 1.0, 6: 0.0}\n" ] } ], "source": [ "#计算网络中每个节点的聚类系数\n", "C_all=nx.clustering(G)\n", "print C_all" ] }, { "cell_type": "code", "execution_count": 108, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "0.605555555556\n" ] } ], "source": [ "#计算网络平均聚类系数\n", "Average_C=nx.average_clustering(G)\n", "print Average_C" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 4.6 网络的度匹配系数\n", "同配性(Assortativity):\n", "功能:反映的是网络中度相近节点间相互关联的程度。\n", "\n", "度相关性:表示一个节点的度与其邻居节点度之间的相关性。" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "同配:网络中度大(小)的节点倾向于连接度大(小)的节点,则该网络是正相关的;\n", "异配:网络中度大(小)的节点倾向于连接度小(大)的节点,则该网络是负相关的;" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "同配系数(Pearson Coefficient----皮尔森系数):\n", "功能:评价网络中一个节点的度与其相邻节点的度之间的关系\n", "计算公式:" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "式中,ji和ki分别代表第i条边连接的两个节点的度;M表示网络中的总边数。\n", "r取值大于0,网络中互相邻接的节点之间,其度是正相关的,即度大的节点倾向于连接度大的节点,而度小的节点倾向于连接度小的节点,这样的网络具有同配性,对应的相关性系数称为同配系数。" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "同配系数r取值范围:0<=|r|<=1\n", "- (1) 当r<0时,网络是异配的;\n", "- (2) 当r>0时,网络是同配的;\n", "- (3) 当r=0时,网络是不相关的,即网络中一个节点的度与其邻居节点度之间没有相关性,如随机网络。" ] }, { "cell_type": "code", "execution_count": 114, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAeIAAAFBCAYAAACrYazjAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nQmCC\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "#生成自定义网络G\n", "G = nx.Graph() \n", "G.add_nodes_from(['CK','YC','ZXX','GDG',\n", " 'ZW','LXR','LKF','LZY']) \n", "G.add_edges_from([('LKF','ZW'),('ZW','YC'),\n", " ('ZW','CK'),('ZW','ZXX'),\n", " ('CK','YC'),('CK','LXR'),\n", " ('LXR','YC'),('LXR','ZXX'),\n", " ('LXR','LZY'),('LXR','GDG'),\n", " ('LZY','GDG'),('ZW','LXR')])\n", "pos = nx.spring_layout(G)\n", "nx.draw(G,pos,with_labels=True,node_size = 800) " ] }, { "cell_type": "code", "execution_count": 115, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "-0.485148514851\n" ] } ], "source": [ "#计算网络的匹配系数\n", "r_G=nx.degree_assortativity_coefficient(G)\n", "print r_G" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "结论:该网络的同配系数r<0,说明该网络为异配网络。 \n", "现实生活中由于个人所处社会阶级的限制,通常只能够跟与自己在同一阶层的人社交,精英人物之间更容易结识,而普通人只能认识与自己相似的人。在线社交网络打破了这一社交阶层的制约,普通人更容易与精英人物建立单向关注关系或相识关系。因此,在社交网络通常具有异配性,或表现出不明显的同配性。" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 4.7 网络中节点的重要性\n", "\n", "很多复杂网络呈现出异质的拓扑结构,这说明这些网络中每个节点的重要程度是不同的。在复杂网络的各种基础研究工作中,识别出网络中的一些最重要节点具有非常明显的实用价值。对于各种各样的实证网络,识别出重要节点可以针对性地分析其性质,制定正确的策略和措施。如在恐怖组织关系网络中,如果能定位出组织中的头目和骨干分子,那么就能迅速侦察到恐怖集团的破坏行动;在大规模计算机网络中,可以根据服务器节点的重要程度进行有针对性的备份,这样既能保证网络的鲁棒性,也能有效地节省资源;在传染病传播的社交网络中,如果能尽快找出超级传染者,就可以有针对性地治疗和隔离重点病人,有效防止病毒的传播和扩散。为满足应用的需求就需要设计和计算各种有针对性的中心化指标,不同类型的复杂网络通常也需要使用不同的中心化指标来进行度量和刻画。目前最常用的衡量节点重要性的中心化指标为度中心性指标、紧密度中心性指标和介数中心性指标" ] }, { "cell_type": "code", "execution_count": 261, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAeIAAAFBCAYAAACrYazjAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nlFJBpEGslFJKBdH/Ay510d7m5SrQAAAAAElFTkSuQmCC\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# 连边对数据可以直接读取来生成网络\n", "G = nx.read_edgelist(\"karate.txt\")\n", "G = Gn_karate.to_undirected() \n", "pos=nx.spring_layout(G)\n", "nx.draw(G,pos,with_labels=True,node_size=600)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### 4.7.1 度中心性 (Degree Centrality)\n", "节点度就是所有和它直接相连的节点数量,是研究网络拓扑结构的最基本参数。节点的度值体现了该节点和周围节点之间建立直接联系的能力,因此节点的度值中心性大小体现了节点的活跃特性,中心性较高的节点具有较多的连接关系。设网络中有个节点,则节点的度指标计算公式为\n", " ![](图片4.png)\n", "其中,![Alt text](图片5.png)表示节点直接相连的节点数,也就是该节点的度值。" ] }, { "cell_type": "code", "execution_count": 258, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAeIAAAFBCAYAAACrYazjAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "#求节点的度\n", "degree_G=G.degree()\n", "\n", "#取出键值\n", "degree_values=degree_G.values()\n", "#取键形成新的列表\n", "degree_keys=degree_G.keys()\n", "\n", "pos=nx.spring_layout(G)\n", "nx.draw(G,pos,with_labels=True,nodelist=degree_keys,node_size=[x*200 for x in degree_values])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### 4.7.2 紧密度中心性 (Closeness Centrality)\n", "节点中心性的第二种观点是建立在紧密度概念的基础上,度量方法强调在所有节点的集合中,某一个节点与所有其他节点之间的接近程度。从接近程度的角度看,占据中心的节点在与其他节点之间交流信息时比较有效率。紧密度中心性刻画网络中节点到达网络中其它节点的难易程度, 其值定义为该节点到达所有其它节点的最短距离之和的倒数。设网络中有个节点,则节点的紧密度中心性计算公式为\n", "![](图片2.png)\n", "其中,![](图片6.png)是节点和之间的最短路径。度中心性指标反映了一个节点对于网络中其他节点的直接影响力,而紧密度中心性指标则反映的是节点通过网络对其他节点施加影响的能力,因而紧密度指标相对于度指标更加能反映网络全局的结构。" ] }, { "cell_type": "code", "execution_count": 257, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAeIAAAFBCAYAAACrYazjAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nAABJRU5ErkJggg==\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "closeness_G=nx.closeness_centrality(G)\n", "#取出键值\n", "closeness_values=closeness_G.values()\n", "#取键形成新的列表\n", "closeness_keys=closeness_G.keys()\n", "\n", "pos=nx.spring_layout(G)\n", "nx.draw(G,pos,with_labels=True,nodelist=closeness_keys,node_size=[x*2000 for x in closeness_values])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### 4.7.3 介数中心性 (Betweenness Centrality)\n", "介数中心性是建立在以下假设的基础上,即一个节点如果能够控制传播通道的话,则它在网络中应该获得更大的权利、具有较高的重要性。两个不相邻节点之间的相互作用依赖于网络中的其他节点,特别是那些在这两个节点之间提供连接路径的节点,因此可认为重要节点在某种程度上控制着很多不相邻节点之间的相互作用,这就是介数中心性的物理意义。介数指标刻画了网络中节点对于信息流动的影响力,在网络中使用最短路径路由算法,介数中心性指标刻画了信息流经给定节点的可能性,节点的介数中心性均会随着经过该节点的信息流的增大而增大,因此利用介数指标可以确定信息负载繁重的网络节点。网络中节点的介数中心性计算公式为\n", " ![](图片1.png)\n", "其中,![](图片7.png)表示节点和之间经过节点的最短路径数。![](图片8.png)表示节点和之间的最短路径数。介数中心性除了能衡量节点的重要性外,它的另一个重要作用是能够分辨出跨界者,即那些在两个或多个社团结构中扮演着不可或缺桥梁作用的个体。" ] }, { "cell_type": "code", "execution_count": 255, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAeIAAAFBCAYAAACrYazjAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nKkQaxEoppVQh+n/LAjgY8+NHDgAAAABJRU5ErkJggg==\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "betweenness_G=nx.betweenness_centrality(G)\n", "\n", "#取出键值\n", "betweenness_values=betweenness_G.values()\n", "#取键形成新的列表\n", "betweenness_keys=betweenness_G.keys()\n", "\n", "pos=nx.spring_layout(G)\n", "nx.draw(G,pos,with_labels=True,nodelist=betweenness_keys,node_size=[x*10000+20 for x in betweenness_values])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### 4.7.4 eigenvector_centrality" ] }, { "cell_type": "code", "execution_count": 250, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAeIAAAFBCAYAAACrYazjAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "eigenvector_G=nx.eigenvector_centrality_numpy(G)\n", "\n", "#取出键值\n", "eigenvector_values=eigenvector_G.values()\n", "#取键形成新的列表\n", "eigenvector_keys=eigenvector_G.keys()\n", "\n", "pos=nx.spring_layout(G)\n", "nx.draw(G,pos,with_labels=True,nodelist=eigenvector_keys,node_size=[x*5000 for x in eigenvector_values])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### 4.7.5 katz_centrality" ] }, { "cell_type": "code", "execution_count": 263, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAeIAAAFBCAYAAACrYazjAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nUiqINBArpZRSQaSBWCmllAqi/wd4PrsKtZadIQAAAABJRU5ErkJggg==\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "katz_G=nx.katz_centrality_numpy(G)\n", "\n", "#取出键值\n", "katz_values=katz_G.values()\n", "#取键形成新的列表\n", "katz_keys=katz_G.keys()\n", "\n", "pos=nx.spring_layout(G)\n", "nx.draw(G,pos,with_labels=True,nodelist=katz_keys,node_size=[x*6000 for x in katz_values])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### 4.7.6 communicability_centrality" ] }, { "cell_type": "code", "execution_count": 267, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAeIAAAFBCAYAAACrYazjAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nQgghnEgCsRBCCOFEEoiFEEIIJ/p/5iVjARUyA9IAAAAASUVORK5CYII=\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "communicability_G=nx.communicability_centrality(G)\n", "\n", "#取出键值\n", "communicability_values=communicability_G.values()\n", "#取键形成新的列表\n", "communicability_keys=communicability_G.keys()\n", "\n", "pos=nx.spring_layout(G)\n", "nx.draw(G,pos,with_labels=True,nodelist=communicability_keys,node_size=[x*20 for x in communicability_values])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### 4.7.7 load_centrality" ] }, { "cell_type": "code", "execution_count": 279, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAeIAAAFBCAYAAACrYazjAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nQ311YQAAAABJRU5ErkJggg==\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "load_centrality_G=nx.load_centrality(G)\n", "\n", "#取出键值\n", "load_centrality_values=load_centrality_G.values()\n", "#取键形成新的列表\n", "load_centrality_keys=load_centrality_G.keys()\n", "\n", "pos=nx.spring_layout(G)\n", "nx.draw(G,pos,with_labels=True,nodelist=load_centrality_keys,node_size=[x*10000+10 for x in load_centrality_values])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### 4.7.8 边的中心性(edge_betweenness_centrality)" ] }, { "cell_type": "code", "execution_count": 286, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAeIAAAFBCAYAAACrYazjAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\nAAALEgAACxIB0t1+/AAAIABJREFUeJzsnXd4FFX3xz+buhsISYCE3iH0ohBA6RZAQgtVJChFgQCi\nKIJYaOqLCbFQBEXhRYr1VXrTHwoICISigIBUAUGSkEAoKSSb8/tjdpfdZDfZhQ0RuJ/nmSfJzJ07\ndyb7zHfvOeeeoxMRQaFQKBQKRaHgUdgDUCgUCoXifkYJsUKhUCgUhYgSYoVCoVAoChElxAqFQqFQ\nFCJKiBUKhUKhKESUECsUCoVCUYgoIVYoFAqFohBRQqxQKBQKRSGihFihUCgUikJECbFCoVAoFIWI\nEmKFQqFQKAoRJcQKhUKhUBQiSogVCoVCoShElBArFAqFQlGIKCFWKBQKhaIQUUKsUCgUCkUhooRY\noVAoFIpCRAmxQqFQKBSFiBJihUKhUCgKESXECoVCoVAUIkqIFQqFQqEoRJQQKxQKhUJRiCghVigU\nCoWiEPEq7AEoFArFv4WEhAQWLVzI0f37uZaSQtGAAEIbNOCZQYMIDg4u7OEp7lF0IiKFPQiFQqEo\nTOLi4pgxbRpr1q2jBxCWno4/cBXYZTCwTITwJ57ghQkTCAsLK+TRKu41lBArFIr7mnlz5zJp7FjG\np6XxjAhBdtpcAhbqdMQYDEyJjWVoVNSdHqbiHkYJsUKhuG+ZN3cu0WPHsiE1lepOtD8OdPDzY7wS\nY4UbUUKsUCjuS+Li4ujati3DUlNZAxwAngIWWLX5BpgMnAMqAO8AdYFWfn6s2ryZJk2aOOxf+ZsV\nzqKEWKFQ3JdE9uhBk+XLqSyCB7ABSOOmEJ8HqgCrgPbAWqA3cBpYrNOxNyKCxd99l6tf5W9WuIoS\nYoVCcd+RkJBAzUqVOJmebvEJv4k28zUL8S6gK3DB6rwQNGGuAVTT6zl65ozN7Fb5mxW3glq+pFAo\n7jsWLVxIBNgVSjNNgNrAaqATsBLQAw0AAxCh07Fo4UJefuUV4Ka/+Zd8/M1BwBgRuqSm0mHsWIA8\nxViZuO99VEIPhUJx33F0/36apqfn2cYDGAD0A3yBSOATNBEGCEtL4+iBA4Bmjp748ss0Tk3lMSAA\neBBYb9XfRjRhLwo8CvgAG1JTmTR2LLt37851/bi4OCJ79KBmpUocnjSJB5cuJXz1ah5cupRDkycT\nWrEikT16EBcXd8vPQfHvQAmxQqG477iWkoJ/Pm3+DxgHbAEygU3AEGC/6bg/cPXSJQBmTJvGS2lp\n1AN+AVKAt4A+wBkgCeiJFuyVDDQG+gLVgXFpacyYNs3m2vPmzqVr27Y0Wb6ck+npzE9PZzjQHxgO\nLEhL42R6Oo2XL6dr27bMmzv31h+GotBRpmmFQnHX46r5tmhAAFfz6fN3oA3wgOnvJkAzNIFugBZ8\n5R8UREJCAmvWrWMWtqbucLRgrz3ARaAe0MN0bDJQEjgKPCPC1LVrSUxMJDg4uMBM3Ip/L2pGrFAo\n7lpu1Xwb2qABu/R6AIxAuulnFpBh+j0M2IomyAD7TH83MF/bYCC0fn2H/uZ44Bjacqc/gIZWx/zQ\nZsN/AMW56W+Oi4tj0tixDEhNpR+aT3qwg3ufivYCP0PeJm7Fvx8lxAqF4q7kdsy3Tw8cyDK0COa3\n0YQxGlhq+v0doDUwCeiF5vPtDbwOPIZmXl4mwtMDB9r1N2eh+ZQHAqHANVMf1hQDy6zc7G+eMW0a\n49PSaIQWxT3Ewb2fBP4HlDX97cjErbg7UEKsUCjuOqzNty86WCYEN823v6SmEj12rEWMQ0JCCH/i\nCT7X6ZgEZKPNgs3bRNP5I9BmtSloWbVeNO3/XKejc6dOBAcH5/I3C5oI+wKzTPuKAldyjC0FLOf5\nA4kXLrBm3TqeEaE72tKp4g7uayQQA3hb7XtGhNUmE7fi7kIJsUKhuKvIL0J5J1oCjhJAKbSgqKLk\nNt++MGEC0QYDx128/nEgxmDghQkTgNz+5iFoPuHvAU/TvrrAb1ZtrgMnTPtBmxn/c/FivkuqAL5F\nM1l3zLHf2sStuLtQQqxQKO4q8otQvgQMQ8uAdRpNhAeR23wbFhbGlNhYOvj5OS3G5lzTU2JjLekt\nrf3Nw4EjaGuOfazOi0DzBy9D80FPARqhma1B8zd7Qr5Lqq6hmcdnOjhuvaRKcfeghFihUNw1mCOU\nn0MzH1cw7beOUO6ItlSoKNrMcRSw3dQup/l2aFQU42NjaeXnxwc6HZccXDcZeF+no5Wdgg9mf/MB\nYB7azLcUmrm5GPAlWoT0d8BraDPX3cBXVn0vE6F0cHC+S6omA09b3XdOrJdUKe4elBArFIq7Bmci\nlHOy2Wq/PfPt0KgoVm3ezN6ICKrq9Qw2GJgLLAHmAgN9famm17MvIoJVmzfnWiJk9jdv1OnIBlLR\nTM1X0fzC/UztHgEOo5mlfwIqmvab/c3Fg4PzXVK1EW02XMa0nUWzBEw3HTcvqVLcXSghVigUdw3O\nRChbsx/NbB1rtc+e+bZJkyYs/u47jp45Q90pU/htwABe8PHhJcCzXz+OnjnD4u++c1htyR3+ZmeW\nVP0EHERbUvU7WtT0PLTgLbi5pEpxd6GEWKFQ3DU4E6Fs5jhajuhZwMNW+/My3wYHB/PyK6/wyaJF\nlA0NJR1o0KhRvjmd3eFvdmZJVRBa4Qnz5gUEmo5bL6lS3F0oIVYoFHcNzkQogxak9TjaOuCncvTh\nrPm2YkXNePzHH384NTZrf/N74LK/2dklVdacRDN5g+2SKsXdhRJihUJx1+BMhPI5tKIKzwPP2enD\nWfNtaKhm6D527JjT4xsaFcW3GzYwSaejLNDfw8PG3zzYYMjT3+yuJVWKuwuVa1qhUNw1PD1wIDUn\nTWIMmm9UjxahDKBDq450DDiFFmE8Gc18rUMLnDKbb6OdMN/WN4n16dOnXRrjpUuXuG4q857Yrh2/\nlS3L1UuX8A8Kom79+kQPHOhw1hoWFkarjh1p9f33/AJ55po2Y29JleLuQgmxQqG4a7BEKC9fTrZJ\n7Oxhz4wLrplvH3hAK/cQHx/v0hiXLVuGp6cnRqORF8aMITw83OlzN2zYwP+WLaOInx+NU1OZiJZr\n2p4hPRlYqNMRo9fTqn17dm/bxqa1a1W94rsQnUgen2aFQqH4lxEXF0fXtm3zrU6Uk+NAKz8/Vm3e\n7NTMMSUlhcDAQACuXr1K0aJF8z0nKyuLUqVKkZycDGjrnp0Vw2PHjtG0aVOCgoI4deoU/v7+dGzd\nmh83biRCpyMsLU0LNEMzr39vNFK6ZEnOXbxIHw8PwtLTLcd3GQwsEyH8iSd4YcIEwsLCnBqDonBQ\nQqxQKO46zLmmNzgpxmbzbc5kHPnh7e1NVlYWBw8epG5de6uUbdm0aRPt2rUDoGrVqpw4ccKp66Sk\npNC8eXNSUlK4fv06V65cYc6cOURFRZGYmKiVeDxwwGLiTr52jS3r1zMhPZ1nHOTavoRpxmwwMMXF\n+1bcYUShUCjuQj6ZM0dK+/nJ+zqdJIOInS0JJAYkAGT2jBkuXyMwMFAAWb16tVPtR48eLXq9XgB5\n6qmnnDonKytLwsPDRa/XS5cuXQSQBx98ULKysuy2/2TOHKnq5yfHHNxzzu0YSFU/P/lkzhyn71tx\nZ1FR0wqF4q4kv4xYgw0GKnl6MgktH/XZ8+ddvobZrPzXX3/l21ZEWL58OcWLazWTmjVr5tQ13njj\nDdasWcOrr77KqlWrAJg9ezaenp652uZXr/g02lKYYtxMsfk1ql7xvx0VrKVQKO5azBmxzObb36zM\nt3Xr1+f1Hj1o2rQpacnJxMTE0KdPHx588EGn+y9fvjzHjh3j+PH8FxTt3buXM2fO4O+vpRxxRoi/\n/PJL3n33XcaNG8eKFSsAGDRoEA899JDd9uZ6xZXRKk5tANJytNGhffHQ5dhvLnix+Lvv8h2X4g5T\n2FNyhUKhKEhiY2MFEE9PT2nQoIHcuHHD6XOfffZZAaRjx475tn399dfF19dXAPHx8ZH09PQ82+/e\nvVv0er2Eh4fLrFmzBJDAwECJj4+32z4+Pl4C9XobM/wbIIOs/v4LRAeS5cBMH6jXS0JCgtP3r7gz\nKNO0QqG4pxk5ciQVKlTAaDSyf/9+YmJinD63Tp06AJw8eTLftsuWLaNevXoANGrUCF9fX4dtL1y4\nQPfu3alcuTIzZszgzTffBOCtt94iJCTE7jmOCl7kRAdURisqMRhIMu1X9Yr/vSghVigU9zR6vZ4p\nU6YA4Ovry5QpUzh06JBT55rN2Ofz8S8fPXqUQ4cOOeUfzsjIoGfPnly7do2VK1cybdo0Ll++TMOG\nDRk+fLjja9gpeJGTkkAcmq94D9pSpv5WxwuyXnFCQgKxMTEMjYzkqS5dGBoZSWxMjKXkpMIxSogV\nCsU9z9NPP02dOnXIyMhAr9czZMgQjEZjvuc1aNAAgGvXrnH9+nWH7cxJPMzrhx0JsYgwYsQIduzY\nwddff01ycjLz588H4KOPPsLLy3HYTs6CF/YoguY79gCCgdnAD2ilF6Fg6hXHxcUR2aMHNStV4vCk\nSTy4dCnhq1fz4NKlHJo8mdCKFYns0YO4uDi3XvdeQgmxQqG45/H09OQ///kPADdu3GDHjh3MmpWz\nXlNugoKC8PDQXpN5pbpctmwZrVq14oBptulIiGfNmsWCBQuYPn06jz76KCNHagUMn376aVq0aJHn\nWHIWvHAWHVoBCXB/veJ5c+fStW1bmixfzsn0dOanpzMcbRY+HFiQlsbJ9HQaL19O17ZtmTd3rtuu\nfU9R2E5qhUKhuBNkZ2fLww8/LIBUr15d/Pz85MSJE/meV7RoUQFkzZo1do///fffAsjYsWMFkBIl\nSkh2dnaudv/3f/8nnp6e8vTTT0t2drZ8/PHHAkixYsXkwoUL+Y5jenS0DNLrRUzBWGkgE0AGgKSb\n9u0E+RMkG+QiSF+QR60CtgYZDBIbE5P/w3ICtZ7ZfSghVigU9w1btmyxRFAHBQXJI488Ylc0ralY\nsaIA8tFHH9k9/tFHHwkgU6ZMEUA6deqUq83x48clKChImjVrJmlpaXLx4kUpXry4APLhhx86Nfb4\n+HgJ8PGRZJDJpuhoD6ttCsiXIFVAioKUBXkGJL4AoqZ37dolpQwG6Q1SCaQYyAMg66yENxUkCqQk\nSCBIG5MYl/bzk7i4uNsew72EMk0rFIr7hlatWhEeHo7RaCQ0NJSffvqJzz77LM9zypQpAzhO6rFs\n2TLCwsI4evQokNssffXqVbp164Zer+f7779Hr9fz2muvkZycTP369S3m6bw4ffo0Y8aMIfPGDRaA\nw3rFT6LVKL6KVg5yIWCOwXZnveIZ06bxUloa9YBf0NYtvwX0Ac6Y2jwHXAb+RCtQ8QFaNSnzemaF\nFYX9TUChUCjuJPv37xedTieAtGnTRooVKyZ///23w/ZPPvmkANKtW7dcx5KTk8XLy0v+85//SPXq\n1QWQ9evXW44bjUbp1q2b+Pr6ys6dO0VEJC4uznL9zZs35znWy5cvy/jx48XX11cCAgKke/fuUsw0\ns3TGHGxtFnbXTNTeembz1gDke5AjaGlFr6r1zE6hZsQKheK+on79+kRGRgJgNBrx8PAgKioKcVD/\nplatWgB2s2utXr2arKws2rVrZznetGlTy/FJkyaxYsUKPv30U5o2bUp2djYjR45EROjfvz+tW7e2\ne83MzEzmzJlD9erVee+99xg2bBjvvPMOq1ev5irQxsOD/HN9abi7XrGj9czxaLWg6wK70NYxT0SL\n3m4IfG9qp9Yz26GwvwkoFArFnebUqVPi4+MjgLz88ssCyBdffGG37bJlywSQgICAXMe6d+8utWrV\nkjVr1gggoaGhlmPffPONJYjLzKeffiqA+Pv7y/nz53P1l52dLStXrpSaNWsKIBEREXLkyBF56623\nBBBAnnzySZk9Y4ZTBS/e0+mktJsDpJ7r31/m5rhWJshjJp+wgPzH5MOeajq22eS3PmI6Pgdk6IAB\nbhvT3Y4SYoVCcV/ywgsvWCodPf7441KyZEm75tJz585ZRPD69euW/devXxeDwSATJkyQiRMnCiAD\nTOKyb98+8fPzk44dO1qqKCUlJUmJEiUEkPfffz/Xdfbs2SPt2rUTQJo0aSKbN2+WGzduyJAhQyzX\nHz9+vBiNRhHRTNyRPXpIoF4vgwwGmQOy2CRygwwGCdTrJbJHD7cHRvXr3FmWWIlwNlp0djg3U2t+\nAOJrOmZu1wVkpun3xSD9Ond267juZpQQKxSK+5KEhATL0qRZs2ZJkSJF5Mknn7Tb1uzTPXTokGXf\n999/L4Ds2rVLOnToIIDMnj1b4uPjpWLFihIaGiqXLl2ytI+KihJA6tata5Pv+syZMzJgwAABpEKF\nCrJkyRIxGo1y5coVS78eHh4Oo7YTEhIkNiZGhg4YIP06d5ahAwZIbEyM232wly5dkk8//VQqh4TY\nzIgHoS2RyrDat9EkxEarfV2thFjNiG1RQqxQKO5bJk+ebFlX/OGHHwogK1asyNXOXGN47dq1ln0D\nBgyQ8uXLi9FolKCgIAFk+/bt0qpVKylWrJgcOXLE0nb37t0WMd+0aZOIiFy5ckVef/110ev14u/v\nL9OmTZPU1FQR0WbhjRo1EkD8/Pxk5cqVBfwk7JOeni7Lli2Tnj17Wkz5OpAnTYI6DOQhkOt2TNU1\nQN42zZK3oi1x+tMs3m5cz3wvoIRYoVDct1y5ckWCg4Mts9kWLVpImTJlbGayIiKlS5cWQOaYfK03\nbtyQwMBAGTVqlPz5558CiK+vrzz77LOi0+lskn8YjUZp1qyZANKvXz/JzMyUjz/+WEJCQsTT01NG\njBhhU3Hp4MGDUqFCBQEkJCREdu3adWcehtV4f/nlFxk2bJjlC0bOTQ+y3yTKBpP/tyiIP8gXJrE9\nZBLpoiB1QVZY+a5V1LQtSogVCsV9zcyZMwWQ0qVLy969e8XX11eGDBli06ZBgwYWH62IyI8//iiA\nbNy4URYtWiSAVK1aVQCJjo62OXf+/PkCSJEiRWTx4sVSp04dAaRz5842pm4RkY0bN0pAQIAAUrNm\nTTl58mTB3rwVhw4dktdff10qV65sV3xBS4TSvn17aVCtmryv07m0hMq8va/TSWSPHnfsvu4GlBAr\nFIr7moyMDKlSpYoA8vbbb8u0adMEkB9//NHSpnPnzgJI7969RURkxIgRUrx4ccnMzJSRI0dqJlud\nTvr372+TqSs5OVlKliwpgNSoUUMAeeCBB2Tjxo25xrF48WLx9vYWQFq2bCkXL14skPuNj4+X6dHR\n8lz//tLj8celZePGUr5cOYfiC0hYWJjMmDFDfvzxR1m5cqVs375dSruQ3tK8qcxa9lFCrFAo7nuW\nLFkicDPv84MPPiiVK1eWq1evSnx8vLRu2VIMIOWKFZNn+/eXAH9/6du3r4jcnC1XrVrV4uM1M3Dg\nQIuYlStXThYuXGiJejaTnZ0tb7/9tqVdnz59JC0tze33uGvXLukfESGBvr7ytLe3zAVZAjIXLepZ\nbzIzm8dRpUoVefPNN+XIkSOSkpIi3333nU1ubpVr2n0oIVYoFPc9RqNRGjZsKIC89NJL8ttvv4mn\np6fUr1ZNAvV6u8JVzNtbenXqZBGu7du3W/q7du2aDBs2zHJs0KBBNkufzGRmZspzzz1naTd27Nhc\nQu0O5syeLcG+vvIeOFx3nAwyHaS4l5eMe/lly8x+y5Yt8sMPP9jNyf3JnDmFtp75XkIJsUKhUIjI\n2rVrBRAfHx+Z9vbbUsLLS2LzEa5YtGjgogaDZGdnS1ZWlsyfP1/KlCljEdcuXbrYvd6VK1fkiSee\nsCxPmjVrllvvJzs7W+Li4uTRdu2kDM6nxTTPXGOmTZP//e9/+VaGKqz1zPcSOhEHed0UCoXiPkJE\naNeuHVs2b6acpyeNjUZ2AmlAaeAVYAiwE3gT2AN4AU2AvR4ePDlyJD9t3sz+/fupX78+Bw4coEiR\nIhw5coTy5cvbXOuff/4hPDycffv2YTAY+PLLL+nWrZtb7uPkyZN88cUXLFmyhD///BN/oCNa2slL\nQDXgP6Z9AJ8B0WgpKlsC84HrQAtfX9Zs3ep0WszExEQWLVzI0QMHuHrpEv5BQYTWr8/TAwe6pdDE\nPU0hfxFQKBSKfw3z58+3FFX4A63mr6ClZiwNshet1N//0AoapIEMBmltmhlXq1ZNvvvuOwkJCRFA\n3n333VzX+OOPPyylFYODg2XHjh23Pe6LFy/K3LlzpUWLFjZBVn5o6SangJwx3ctqtGVGp0F+BgkB\nOYy29jcKrVyhim6+s6gZsUKhUJiI7NGDB5ct46Uc+/8E2gEzgV45ju0D2gKTdDr2du9OiQoVmDlz\nJjVr1mT//v34+PhY2m7atInu3buTkpJCjRo1WLduHdWqVbulsaanp7N69WqWLFnC2rVryczMzNVG\nD5wnd4GGhsBkYDvajH+2af8/QDngBBAAVNPrOXrmjJrRFjCq+pJCoVAACQkJrFm3jkFW+0YCRYDa\nQFmgk53zNqNVHBoowuo1a5g1axYAs2bNshHhL774gvbt25OSksLDDz/M9u3bXRbh7OxsNm3axLPP\nPkupUqXo3bs3K1asyCXCxYoVI6xxY/r4+ORZJSlX/6afB1FVku4kXoU9AIVCce+TkJCg+Q/37+da\nSgpFAwIIbdCAZwYN+tfMtuyV9/sIbbb4K7AJ8M1xzn7gLWAVmnB1yszkK5Ov2d/fn19//RWj0cii\nRYv49NNPAWjVqhXjxo1jz549iAjZ2dkON/Px06dPs3XrVrZv386lS5fsjt/Dw4PatWvTpEkTateu\nzapvvuGhGzds2mQBkcBAIBTNT/wUMBzNdzwVbXaWamoflpbGbwcOuPwsFa6hTNMKhaLAiIuLY8a0\naaxZt44eQFh6Ov7AVWCXwcAyEcKfeIIXJkwgLCysUMc6NDKSB5cuZbiD41Fos8hRpr+Po5mkY9DE\nDGAu8BKQXoDjtIeHhweenp54eHjg4eGBTqfDJyOD2UYj/U1tBOgHXANWAJ5WY/4A7X/yIvAusBpo\nASwB1nbuzBerVt3J27nvUKZphUJRIMybO5eubdvSZPlyTqanMz89neFAf7QZ2IK0NE6mp9N4+XK6\ntm3LvLlz7/gYr1y5ws6dO1m4cCFxO3bgn0fbLDTfKcBp4HFgEjdFGMAfqF6pEvv27WP79u20bNnS\ncuy1117j6NGjHD9+nBMnTnDq1ClOnz7N2bNnOXfuHP/88w/Hjx9nxowZtGrVKs9xV69encmTJ3Ps\n2DFEBKPRSEZGBgcPHmTOnDn069cPXz8/rlqdMwS4CHzPTREG7QvGUTT/cA/TfdYzHbsK+AflNG4r\n3I0yTSsUCrczb+5coseO5ZfUVKrn0S4IGCNCl9RUOowdC8DQqCi3jkVESExM5PDhwxw+fJhDhw5Z\nfk9MTKRGjRrUrl0bHyvhSgR+AjoDBuBH4CvTdh54FHgeeC7Hta4CzVq0oHTp0oSHh7N37170ej1f\nfPEFERERdseXmZnJhg0bWLJkCStWrCA93f58Ojg4mH79+hEZGUmTJk3Iysrit99+44MPPmDr1q1s\n27aN+Ph4S3svDw9+0ekYLsJw4Ajwf4CPVZ8ZaDP7usAZYCjarDjAdDzOYKBu/fr5PmPF7aFM0wqF\nwq3ExcXRtW1bmqWm2l2HC7ARzcR7FmgG/Be4AbTy82PV5s1Or121RkQ4e/asjdCahTcjI4PatWtb\ntjp16lC7dm2qVq2Kl5c2H4mNieHQpEksSE/nIlp09H60AKZKwCC02eJXwF60WYyH1c8rwDM+PpQa\nPZpvvv2W06dPU7JkSVatWkXz5s1zjXXHjh0sXbqUr776iqSkJLv3ZDAYiIiIIDIykmbNmrFnzx62\nbt3K1q1b2bFjB6mpqZa2xYsXp0WLFrRs2ZKWLVtSoUIFGoSGsiU9nYZoEdTmmbAO+AQt+Kw1cBJt\nNj8YzeetA5JRUdN3CiXECoXCrUT26EGT5ctpL0JVNAE4CrQB1gIV0QKDFqDNON8AfkELiPpAp2Nv\nRASLv/vOYf9ZWVmcOHEi1wz3yJEj6PV6i8habxUqVECn0+U57oSEBGqUL89fmZk2AVtxwAxgDZrp\nNgxu+rmBZUA4WgBUhKcnOj8/rl69SvXq1Vm3bh3Vq9+0CRw7dowlS5awdOlSTpw4gT08PDx47LHH\nCA8PJyAgwCK+v//+O9nZ2ZZ2VapUsYhuy5YtqVWrFh4ett5G8//ixVt4zTvzv1C4ByXECoXCbSQk\nJFCzUiVOpqfbiJn1OtxLwOfAVtOxVKAk8Jvpp3kWVrRoUY4ePZprhnvs2DFCQkJsZrbm7VZnbklJ\nSYwePZrlX3zBVOBl0/55aH7g8cAz5F6Pi+l+FqJlq7qKZu6tXbs2W7ZsoWTJkiQmJvL111+zZMkS\ndu7c6XAMtWvXpl69eogIe/bs4dSpU5ZjHh4eNGrUyCK6LVq0oGzZsvnel9k6kZ+LICfHuT3rhMI1\nlBArFAq3YW3eBW0d7kI08/SDwBbgNSATbWmQmQbAFCAC6O/hwYbAQK5cvUrlypVzmZRr1aqFv39e\nYVWusXLlSoYNG8aFCxcoX748NxIT2ZaRwU9oqR83gFMidhxoBaT7+3P56lUaN26Mv78/v/zyC0aj\n0e45gYGBlCxZkoSEBK5cuWLZ7+fnR/PmzS3C27x581u+Z7O/foOTYnwc6ODnx/jYWLf76xUOuMOZ\nvBQKxT3Mc/37y9wcRQSyQbaBvGNKozgEZEKONi1APjf9Pgekd+fOBVIK0JqkpCSJjIy01BJ+8cUX\n5fr16xL51FNSAqQUSDdTassAkJogn5nGeAikCUgQSHGQx037joEU9/QUHx8fh7V9PT09xdPT02Zf\nqVKlpGfPnvLBBx9IXFyc3Lhxw633qqok/btRUdMKhcJtXEtJybUESAc8DCxGW7NaFC2wyZoUsJzn\nD2xYs4bKlStTokQJSpQoQfHixS2/O9qKFy9uk8kqL1atWsWwYcP4559/qFatGv/9739p1aoVCQkJ\nrF67lhu6iFK7AAAgAElEQVRoyS2egFx+7gfRfNzfAFXQlHQ28CTwOzDBaGSigxkwgNFopGbNmjb+\n3WrVquXrw74dhkZF8WBYGDOmTWPq2rV0MRp5KDPT4uuOM63p7typE6smTFDm6DuMEmKFQuE2igYE\n2KxdtSYLLTq3Hpq52sx1tPW55pSLV4HylStTqVYtkpKS+Oeffzh48KDDjFLW+Pv75ynaer2eb775\nho0bNwIwbNgwYmNjKVq0KABjx47l8uXL6NEiiK19woL2peIE8ABQzLTfiBY1bQ69GoxWncmMTqej\nePHiJCUlUatWLWbNmsVjjz2W7724myZNmrD4u+9ITExkRFQUv/n5Waok1a1fn2hVJanQUD5ihULh\nNsw+4uj09FzrcHuhLf1pBtRAi5ruhCZaW9EKEAAMNhioO2UKL7/yik3fRqORS5cukZSUlGtLTk62\nuz8pKcnhulwznp6eFC9eHL1ez9mzZ9EBfYEvTcft+bn9TMeC0L5IZKMt+5lg2t9Pp+NCq1ZMnjqV\nsLAw/Pz8iIuLY/To0ezcuZMhQ4bwzjvvEBIS4uojvm1EhE8//ZShQ4fe8Wsr7KOEWKFQuA1z1HRc\nejrPYrsO9wW02SJoyTJGoiWRaIYmdBUpmLWr58+f58UXX+Tbb78FoGPHjnTs2JFr165ZxDohIYFN\nmzaRnp6OAXgfbFJdCjfzTY/HNjNVGloUeEVuFoWYC/w2YACfLFpkM5bs7GyWLFnC+PHjSUtLY9Kk\nSYwaNQpvb2+33KszxMfHs337docJRhSFQKF6qBUKxT1H/4gI+UCnsxsQlN/m7hq4a9eulXLlygkg\nVapUkZ9//tnmeHZ2thw6dEi6d+9uCZwqCrLEwfiGg8yysz8bpARIounvxSD9Ond2OK4rV67I+PHj\nxdvbW2rVqiXr16932z3nx6+//ir79u27Y9dT5I/KNa1QKNzKCxMmEG0wcNzF844DMQYDL0yYkG/b\n/EhJSWHIkCF06tSJc+fOMXLkSPbv30/z5s3ZunUr0dHRdOnShZIlS1KnTh2WL19uOdcIefq57aXh\nMKKthz5n+vsqmr/cEf7+/rz77rv88ccfVK9enY4dO9K1a1eOH3f1qbnOqVOnqFKlSoFfR+E8SogV\nCoVbCQsLo1OfPrQCp8XYvHZ1SmzsbUfsbtiwgXr16rFgwQIqVqzIlClTMBgMtG/fnoCAAFq1asWr\nr77K6tWrSU5OznV+OlqN4UTga276gDeg+bgfRcvZ/Jtp/xW0ikvF0eoWYzr/m1WrGDduHAfyKCNY\no0YNVq1axbp16zh69Ch169ZlwoQJXLt27baeQV5cuXKFgDy+JCgKgcKekisUinuLbdu2iY+Pj+hA\ngn187tja1cuXL0uvXr0sJuaAgACHa3nz2/SmNcFtTGuFA0AagMw3jftbkFog/iAhIJ1BDljdk0Gn\ns+mvYcOGMn36dDl37pzD8WdkZMh7770nxYoVkzJlysjixYslOzv7tp6JPT755BO396m4PZQQKxQK\nt3Hq1CkJDg4WQCZNmiRxcXES2aOHBOr1MshgkDkm/+kckEEGgwTq9RLZo4fExcW5fK20tDT55Zdf\n5N1335VmzZqJh4eHS2Lr7e3t8JgfSOwt+Lgtfu6ICNm3b5+89NJLUrp0aUu/Hh4e8vjjj8vnn38u\nV69etXtfFy5ckMGDB4tOp5OHHnrolp5NXnz88cdu7U9x+yghVigUbiElJUXq1asngPTt29dmNpeQ\nkCCxMTEydMAAqVepkgwdMEBiY2IkISHB6f4TEhJk+fLl8sorr8hDDz2UZ/Yqe1uFChWkXbt20rBh\nQ6dEu5hpVuyKCB8DKe3nZyOeWVlZsmHDBomMjBQ/P7+bYu/nJ/3795f169dLZmZmrvuNi4uThx56\nSHQ6nQwePFguXLhwe/8gE0qI/30oIVYoFLdNVlaWhIeHCyBNmzaV1NRUh22joqLy7S87O1sOHz4s\nn332mQwaNEhCQ0NdEl0PDw9p1KiRjBw5Uj777DOZPHmy1KpVy6U+dCDlvbycFuNjIFXzMbFfvXpV\nFi9eLO3bt7f5MlC6dGkZM2aM7N271+YLjNFolEWLFkmZMmWkWLFiEhsbKxkZGa79c6zIysqSefPm\n3fL5ioJBCbFCobhtxowZI4CUL19ezp8/n2dbe0KclpYmW7dulejoaOnatauULFnSJdH08/OTRx99\nVCZNmiQ//PCDpKSkyL59+2To0KE2s1BAgoKCbMzF9rYSJUrI2rVrZdSIEVIMZDrk6eeOASnu5eWS\nn/v8+fPy3nvvSaNGjWyuXadOHZk2bZqcOXPG0vbKlSvy6quvio+Pj9SsWVPWrVvn9HXi4+NlenS0\nPNe/v3R/9FHp1LatTI+OdskaoShYlBArFPcp1i/ofp07y3P9+9/SC3revHkCSJEiRZxanxoVFSWJ\niYkWM/PDDz/sspkZEIPBIFFRUbJnzx6LaTc9PV2WLFkiDz/8cK72TZs2lYULF8qHH36YZ78tWrSQ\ns2fPiojI7NmztWuhBXD1BRs/90CDQQJ9fSXI11d0Op3s37/f9X+EiBw4cEDGjx8v5cuXvzkj1+mk\nbdu2Mn/+fElJSRERkWPHjknXrl0FkM6dO8uxY8cc9rlr1y7pHxEhgXq9DNbrZS7a+ui53PTP94+I\nkF27dt3SmBXuQwmxQnGf4c4X9E8//SReXl6i0+lk+fLldttkZ2fLkSNHZP78+TJ48GAJDAx0zUSs\n00m9evWkbt26ln1DhgyRy5cvW65x6tQpefXVV3PNpPV6vQwePNjis/3nn3+kSJEiDq/16quv2lQ+\nGjt2rMDNwC6dSZSDDQbRg0x6801JSEiQBQsWCCCPPfbYbUU6G41G+emnn2TQoEHi7+9vcx99+vSR\nVatWyY0bN2T9+vVSq1Yt8fHxkfHjx8uVK1ds+jFXW/ogj4j1ZLTAMlVtqfBRQqxQ3Ee48wV99OhR\nCQoKEkCio6Mt+9PT02Xbtm23bGYuUqSIPProozJx4kTZsGGDrFq1SipXriyAlCtXTtauXSsimmit\nXbtWOnfuLLocy4WqV68u77//viQlJVnGlZGR4dBPXKJECVmzZk2ue+zdu7cAUrx4cUtbT09Padiw\noQCye/duy1geeOABAWTVqlVu+V9dv35dvvrqKwkPD7cpm1iyZEkZNWqUbNu2zWa50+effy5Go1E+\nmTNHqvr5udW3rShYlBArFPcJ7nxBJycnWwKonnzySVm+fLmMGzdOWrRoIb6+vvZntqbZZFHTT51p\nf7ly5aRPnz4yY8YM2b17t8XMfPXqVRk5cqTl/EGDBsmlS5fk4sWLEhMTI1WrVrXp38PDQ7p37y4/\n/PCDGI1Gm/H+9ddfDkX44YcftvHHWhMWFmYRP2shbtu2rQA2VoDNmzcLIKGhobcVUGWP+Ph4mTlz\npmU85i00NFTGjRsnffr0sVgOgn19pTdIJbTI7wdA1pF/HeWc0d6KO4cSYoXiPmDXrl1S2s9PJple\nxL4gg3II76cg1dGSVDwBct7OCzo7O1sOHjwotWvXFrOfNr8Zrh+af7Uf2JjBB/j4SICvr10z+KZN\nm6RKlSoCSNmyZWX16tWyc+dOeeaZZ3IJfUhIiLz++usOxXTlypUOzeHPP/+8jSk6J+Y10TkDvnr2\n7CmAzJ4926a9ef+HH354m/8xxxw+fFjeeOMNi5XAvDVq1EiC/fzkPyBTQM6Y/q+rTf/T0yCXQU5y\nMz/2TLREJYL783wrnEcJsUJxH2AuxLAMZAXIiBxC/DNahqjDIJkgUWhZpQQt81XTevWkW7duLpmZ\ndaYZ2Xs4jjjOaQa/du2ajBo1ytJH//79ZebMmdK4ceNc/bdq1Uq+/PJLh7PPGzduyMsvv+xwfGPG\njMnzmV27ds3hucOHDxezT9maEydOiI+PjwQGBsrFixfd9v+zh9FolC1btsjQoUMtXzT0Dp51A5Dv\nc+zLBJkNUoSb0d+Ber2Kpi4ElBArFPc48fHxEqjX27yg38ghxGNBRlr9fd4kpCdNL2i9k+JbtmxZ\n6d27t/Tt1Usq6/UumcEr+/pKSIkSAkhwcLB069Yt10y2aNGiEhUVlW908unTp6V58+YOx9m8efN8\ng6oOHTqU6zzzbHzixIkCSGRkZK7zxo0bJ4CMGjXqtv5vrpCWliZPR0bKUx4euZ7tBTRXwJ9W+wJB\nvEE8Qf5jtX+QwSCxMTF3bNwKDVX0QaG4x1m0cCERaEXsnSXb9PMgWjGDboAuRxudTkeDBg2Iiopi\nyZIlnDp1ir///ptXXnmFzWvX8mN6OtWt2p8Gwk39lQWet7pOdeDHjAzSk5IoUaIEiYmJrFixgsuX\nLwNQt25dPvroI86dO8ecOXOoX7++w7GvXr2aRo0asWPHDrvHvb29WbBgATpdzjuy5a+//sq1r2bN\nmgCUKlUKgL///jtXm9dff52QkBDmzp3LoUOH8ryGu9Dr9fiK0Co722Z/FhAJDARCrfZfAlKA2UBD\nq/1haWkczaNIhaJgUEKsUNzjHN2/n6bp6Xm26Qh8iya8acBUtJdDqul4G8DX9HuHDh1Yt24dycnJ\n/P7778yZM4f+/ftTuXJldDodM6ZNY3xamo0IA4wAQoB4tMpFm4E5VserA28CqUlJAHh5edG3b182\nb97MgQMHGDFiBMWKFXN4D5mZmbzyyit06dKFS5cuOWz3yiuvULt2bYfHzdgT4lq1agEQEBBAYGCg\nXSEuVqwYb7/9NkajkbFjx+Z7HXdxLSUFf6u/BU2EfYFZdtobgGHA08BF0z5/4Goez05RMCghViju\ncXK+oO3xKDAZ6AFUNW3+QHnTcX/AC4iKimLdunV07NiRwMDAXP0kJCSwZt06nhHJdewvoC/gjSbI\nHYE/crQZbPr56quvcvbsWb766itat26d7+z1zJkztGnThtjY2DzbValShddffz3PNmZOnz4NYHPt\n0FBtXqnX6ylfvjx///03YudeBw8eTIMGDVi3bh3r1q1z6nq3S9GAAJs6ykPQBPZ7wNPBOfbqKPsH\nuWI7UbgDJcQKxT1Ozhe0I6KAo8A/aIKcBdQzHbsKBJcuzYwZM/IUxbzM4C+i1fNNQ3vxrwOeyNGm\nONDXYKBk8eKULl3aiVFrpugHHniAX3/9Nd+2s2fPxs/Pz6l+zTNia6GtVq0acFOI09PT7dY09vT0\n5IMPPgDg5ZdfJjMz06lr3g6hDRqwS68HYDhwBFgJ+Fi1ya+OcpzBQGgeZn9FwaCEWKG4x7F+QRvR\nCt8b0YQ2w/R7Bjdnp2eAoWjCaS4fv0WnY3BUFN7e3nleKy8zeCs003cxoCIQBnS1066pk37KzMxM\nxo0bR5cuXXKJob+/f64vDD179qRTp0759mvGnmm6YsWKwE0hBvt+YoBHHnmEbt26cfjwYebNm+f0\ndW+VpwcOZBlwAJiHJril0KwZxYAvgctAPyAQqAGcAtajiXUysEyEpwcOLPCxKmxRQqxQ3OOYX9CX\ngLcBPyAaWGr6/R00cX4K7aXdHGiB5icG7QW9zseHYVFR+V7LkRlc0EzRvdBMoRdN/Y6309YZP+XZ\ns2dp06YN06dPz3WsWbNmVKpUyWYmW7RoUT788MN8x29NTiGuVq0anp6akdcZIQaYPn063t7eTJw4\nMU+/tTsICQkh/Ikn2KjTkY32nK+atitoAtwLOGz6Ox5YxU2rx+c6HZ07dSI4OLhAx6nIjRJiheIe\nx/yC/lynYxKaWdJotU1Em/n+jvbSPo8m2Ob55EKdji7h4U69oB2ZwZOBs8BINB9xEDAIzTydk/z8\nlGvXrqVRo0Z2TdEvv/wyffv25eDBgzb733rrLYtwOkNaWhrx8fE2+xo1akS6abbvrBDXqFGD559/\nnuTkZKZOneqwnbt4YcIEog0Gjrt43nEgxmDghQkTCmJYivwo3NVTCsW/A3dVIvq3Ys6s5Y5C93kx\nPTpaBur1dvuqhlYuMAvkEkgESKSddo7Wst64cUPGjx9vd11wUFCQrFixQs6dO2dTLAG0jFPmtJnO\ncuTIkVzX6Ni+vXRs00aKgvTu3FmeHTxYAHnjjTfy7OvSpUtSokQJ8fLykj///NOlcdwKKtf03YcS\nYsV9zf1UKu6TOXOkgrd3gb6gjx07JkU8POxmd/odpC1anuNgtJKCCTnaOMrudObMGWnRooVdEW7W\nrJn89ddfIiLSt29fm2M6nU527Njh8rNav369pQ9zis5nfHxsPh/P+PqKHqRWxYr5fj7mzJkjgHTp\n0sXlsdwKI4YPlxLe3vJ+HsU9ktCypqnqS4WPEmLFfcv9Viru4MGD4u3p6VSh++mmmbAr93zw4EEJ\nDQ0VP5BYF2fe5s1evuM1a9ZICVPGrZzbSy+9ZElxaS2e5m348OG39Kw+/vhjS4rO2DyeVbLpeH7P\nKjMz01LG8ccff7ylMTlLYmKiREREyI4dOySyRw8J1OtlkMFgU0e5L0iAr69E9uihCj38C1BCrLgv\nud/Mdzdu3LDJ11wmIMDhC9qg08mTXbq49IL+6quvbAojFDM9s9sxg+dlig4MDLSpfJSamirVqlWz\naRMSEiLJycm39Lye6NBBSrtwD858PjZs2CCA1KtXz2VTubNkZ2fLwIED5ejRo5Z9CQkJEhsTI0MH\nDJB+nTvL0AEDpHzZsvLWW28VyBgUrqOEWHHfsWvXLvH39pb65K5CtBStTJ+/afNDy7m8145Q3E28\n/fbbFoHy8fGRY8eO2bygH6xRQ/Qg/kWKyJ49e5zu98aNGzJmzJhcQqmD2xKys2fPOjRFN23aVE6d\nOmUzjjfffDNXuyVLltzSs9q1a5cEeXg4LCUoIF+D1DYdqwuy3MnPR3h4uADy8ccf39LY8uPLL7+U\nWbNm5dtuypQp0qZNmwIZg8J1lBAr7jv6R0TIYOxXIcq5LUQrDZiX6fTfzu+//y7e3t4CWs3efv36\n2Rz/4osvBLSCBtu3b3e633/++Udat25tVyy9vb3lqSeflNJ+fi77KdeuXevQFD1mzJhc1ZaOHDli\nuT/z9sgjj+Rb1MER/SMi8iwleA7EB2SD6dga0xe2RCc+H4cPHxYvLy8JDg6Wy5cv39L4HHH+/Hnp\n3bt3rlrM9vj999/Fw8NDEhMT3ToGxa2hhFhxX5GzElHOKkQ5t3YgU3MIx91UKu7GjRvSqFEji0AF\nBQXJhQsXLMd//fVXS0UhV2aQ27Ztk7Jly9oVy3Llysmvv/4qIiJxcXEO/ZSRXl4SaOWnzMzMlFdf\nfdWhKXrZsmW5xpGdnS2PPPKITVsfHx85cuTILT0ve5WqzJu5lOBOkFI5jgWD7HDy8zF69GgB5JVX\nXrmlMdojOztb+vXrZwlac6Z9lSpV5L///a/bxqC4dZQQK+4rpkdHyyCr5TV5CfFfIF6mn9b776ZS\ncZMnT7YIVJkyZWxe/qdPn5ZSpUqJM0twzGRnZ8usWbPEy8vLrmC2bdtW4uPjc51nz08ZNWyYfPbZ\nZyIi8vfff0vLli3t9hkWFiYnT560O54lS5bkav/mm2/ewpPScLT86gJa5PRRECNa9Pcq0+/LQCqA\npDr5+UhKSpKgoCDx9vaWY8eO3fJYrZk/f77Mnz/fpXPGjBkj3bp1c8v1FbeHEmLFfcVz/fvLXKsX\nbF5CPNU0I865fw7I0AEDCvtW8mXv3r0WwfTy8pJy5cpJUlKSiIhcvXpVGjZsKID06tXLKXPm9evX\nJTIy0q5YAjJ27FiXgpAyMjLkpZdeknXr1knJkiXt9vniiy/mMkWbSU5OlpCQEJv21apVk9TUVKfH\nkJOcnw8ByQR5DCTKat98tFgCL5AiIGtd/HzMmDFDAImIiLjlsZr566+/5KmnnnLZFL9582YxGAxy\n/fr12x6D4vZQQqy4r+jXubMscVKIa4B8bmf/YpB+nTsX9q3kSUZGhtSvX98iUO3atZOpU6eKiEhW\nVpZ07dpVAGncuLFTL+Ljx49LgwYN7Ipl0aJF5dtvv3V5jJmZmTaR3NZbQECAXVO0NcOHD8913vr1\n610ehzU5Px/ZaJHk4WiJSATkR5ASaAF8AhIHUgZtnbSzn48bN25IzZo1BZCff/75lsdrNBqld+/e\ncv78eZfPzczMlJIlS+b7nBUFj0pxqbhjJCQkEBsTw9DISJ7q0oWhkZHExsSQmJh4x8bgbCWibWhV\niHraOXY3lIp76623OGAqnNCwYUNOnz7Niy++CMCECRNYuXIlZcuWZcWKFflWI1qzZg1NmjRh//79\nuY7VrFmTXbt20atXL5fGd+7cOR555BH27NmT61hYWBj79u2je/fuDs/fuXMnn3zyic2+vn370qFD\nB5fGkRNnSgn+jlaf+QHT302AZmiVjcC5z4e3tzfvv/8+AGPGjMFoNN7SeD/66CN69uxJmTJlXD7X\ny8uLLl26sHz58lu6tsKNFPY3AcW9z78pe5XZR5wFkgYyAWQASLrVjEdAngN5xsFMuS9IrZo15dNP\nP/1XBm3FxcWJp6enJXBp4MCBEhsbKyIiCxYsEEAMBoPs3r07z36MRqNMmjTJoSm6Z8+ekpKS4vL4\n1q9f79AU/cILLzg0RZvJzMy0CUADpFixYnLu3DmXx5KT6dHREunlJQIyDOQhkOs5/v+bQUJAfjP9\nvRekpGmm7EoMQXZ2trRv314Ai6/cFf78808ZOHDgrdymhRUrVkjx4sULbF2zwjmUECsKlH9b9ipz\nVOx4tLWuHlbbFNN40tHSMP5sZ6xJIAE+PvLGG29I06ZNxdPTU9q0aSMzZ86Us2fPFujYnSE9PV3q\n1KljEajXXnvN4jfdtGmTZZnPd999l2c/SUlJ8sQTT9gVSw8PD4mOjnbZJ5mZmSmvvfaaQ1P0999/\n71Q/H3zwQa7zZ86c6dJYHPHzzz+LAWS/6fNhQPMFm9eWf2H6HHyEtqytGFoO7Q+sPh+uRNUfPHhQ\nPDw8pFSpUnLlyhWnx5mVlSURERG3vfwoNTVV/Pz8bss8rrh9lBArCox/a/aq/hER8oFO59SYcm45\n14meOXNGZsyYIa1btxZPT09p2rSpREdHuy0a1lWsl/80a9ZMhg8fLnPmzJHjx49L8eLFBZB33nkn\nzz727t0rVapUsSuYJUuWlI0bN7o8rnPnzjlcc1yqVCmniyGcPXtWihYtanN+48aNJSsry+UxWbN/\n/37p1auX5vPW6dyaojM/RowYIYBMmDDB6XPeffddWbFihau3aZeIiAgZPXq0W/pS3BpKiBUFgrna\nzySQJuTOYHUDpBdIZdPMY7OVGBd09qqCqkR04cIFmTdvnnTo0EG8vLykfv36MnnyZNm/f/8tJ5dw\nhR07doiHh4eAlpzj//7v/6RmzZoSHx8vtWrVEkAGDBiQ51g+//xz0ev1dgWzadOmcubMGZfHtWHD\nBgkODrbb5+jRo2Xp0qWyZcsWp/rq2bOnzfk6ne62PivWAlyjRg1ZvHixFClSxC0pOp0lMTFRAgIC\nxNfXV06dOpVvJbD9+/fLsGHDbvmec7Jo0SKpWLHiHfmMKuyjhFhRIJhnncuwn8HqBsgMkG0gZa2E\n+FZnFa5yK7P1Sr6+Ts/WL126JIsXL5bu3buLXq+X6tWry/jx42Xnzp1uf+HFx8fLf95+W0oVKyZF\n0cypncPD5cknn5T58+db/JAPP/ywpKen2+0jIyPDMjOztw0bNsxyrrMlIzMzM+WNN94QnU5n1xRt\nNo8nJSXJxIkT873PNWvW5Opn1KhRt/TM7AlwZmamZGRkaAKP6yk6q+j1t2zNee+997SxlCuXZyxF\nv27dpHXr1m7NypWUlCSenp6yd+9et/WpcA0lxAq3Yy87UV7LhMrnEOI7lb3K7L/OLwVjDJov0L9I\nEfn7779dvs61a9fk22+/lX79+om/v7+UL19eRo8eLZs2bbotk6p1EFykp2euEn1+Op3UNZmYK1eu\nbDfRhohm7m3evLldAfb19ZUFCxbkul5+QXfnzp2TNm3a2O2zcePGcuLECZsxPP/883ne6/Xr13OZ\ny0uXLu2yIFkLcGhoqEWAzRw/fvzmbBukhLd3ntWXzJWqioG89MILLo3Fmo9mzZIAk0k8v0pPwS58\nIXSWRx55xKkvQ4qCQQmxwu3kzF7lqhALdy57VV4pGM3i0qFVK8usrmXLlrcVYZqeni6rV6+WwYMH\nS4kSJSQ4OFiee+45WbduXb7RwtY4GwRnFomJDjJn/fzzz7mSYpi3SpUqWQpAuBJ0F+zrK8Vy+HHN\n2/PPP293Vj5x4kRLshF72Avy+vLLL51+XvkJsJkffvjB5hpTpkyRYD+/PD8fD5kSo3z++edOj8ea\nf0MsxcyZM6VBgwZu60/hGkqIFW7HXnYiV4X4TmevspeCMTYmxjIrnzp1quXlPH78eLdcMzMzUzZu\n3CgjR46UMmXKSEBAgERGRsr333+fZ5INd7y4s7OzJTY21rLMKefWoUMHuXjx4i1frzTajNJ6edH/\n/vc/h/e0efNm+eabb+we++OPP3IVdXj88cedMvE7K8Bm3nrrLZvrjBo1SmJMnwNHn4/ly5eLM0Fw\n9ti1a5eUMhgcVnpyVA1sOe6NpTh9+rQAuSwVijuDEmKF28mZnehWhPjflr0qKytLHn/8ccsLevXq\n1W7t32g0yvbt22Xs2LFSpUoV8fPzk549e8rSpUtt1uraCzSbjf2AuFziaHpxX7lyRXr37m1XgEHL\n1Ww2mecXdHfItD8IpDjI46Z9x0yiYjZFHz9+PM/7N6e7zEl2dnauaGtfX1+berv2cFWAzX7v0AoV\nLH72IgaDlC9fPl/z9+7duwWQqKioPNvZo39EhETjuNJTzv/jQm5WA3N3LMWDDz4o77//vtv6UziP\nEmKF23HXjLhts2Yura0saOLj4y0Vh4oXLy6nT58ukOtkZ2fLvn375M0335Q6deqIj4+PdOrUST77\n7DPp1alTrqVXjgLicm7v63TS7fHHpXbt2nYFOCAgQFauXGkzlvyC7lJATpp+zwaZiValSNDM4vWq\nVljIlw0AACAASURBVHUYIJaTIUOGSEyOILC+ffrkGueUKVMc9uGqAOfl935Sp5Oinp75Jpu5cOGC\nANKlSxen7tOMM5Wecu63rgbm7liKqVOnSuvWrd3Sl8I1lBAr3I61jzivDFYZpmPlQX4wHTO/cPqi\nmeCKFi0qw4cPl99++62wb0tERLZs2WIx5zZv3twlv+6tcvjwYXnnnXekQYMGosdxME9+JR2TTDM9\neyJcr169XGufXQ26y0SbnRdxUSjMYujv5SUDfX1txRCt6pF53KGhoXaF/ffff7csbXJGgEXcl2zG\naDSKt7e3PPDAA/n8J22xF0shaJWeDCB/5tj/F7mrgbkzlmL//v3i4eHxr8wWd6+jhFjhdqxf4JNx\nnMGqco79HmjmuCTTyzenWDRv3lz++9//Fnq1mHfffdcyJnvm1IJienS0DPT1dSi0+Qmx9Rcc6+f6\n1FNPybVr1+xez9mgu0AQbxBPkP+4IBSuBp2NyRGZnFOAlyxZ4lQkursDpCpXrizBwcH5XteM0WiU\np3v1cqrSk3mzVw3MnbEU2dnZUrVqVUuUvOLOoYRYUSDcTvaqWBB/B0FEoBWJf+GFF+TQoUOFcm9G\no1E6depkGc+dql5jz+TvqhDPsfqS4+npKVFRUbJx40bZunWr7Nq1S/bt2yd//PGHHDt2TJ7q3t0l\nF0Mq2ix2jZNCcTtieKsCLHLT790NLagsAKQmyGem69xKspkWLVoIILt375affvpJvv76a5k9e7ZM\nmjRJRowYIb1795a2bdtK3bp1JSQkRDw9PaUo5FvpyXqzVw3M3bEUL730knTt2tVt/SmcQwmxokC4\n3exVP//8s8ydO9dh6T3z1qZNG/nyyy+d9kO6i4sXL0qFChXE7Fu9E9Gm9oLgXBXixWhRuB4eHlK5\ncmVp1qyZPPLIIxIeHi69evWS/v37y+DBg+XZZ5+V2uXLuxR0ZxaTEiCJ+QiFvc9HBsgQ7EcPW38+\ngkxf0lwVYDPmL4l/oLlGBM0MXBqtgENeyWZiQepWriw9evSQVq1aSa1ataREiRJ5fkYdbQaw+aIz\nCORR03PI+Vy3mv5v13Lsd/fqgi1btoher7drIVEUHF4oFAVAWFgYU2Jj6TB2LBtSU6nuxDnHgQ5+\nfkyJjaVt27a0bduWYcOGsXPnTj7++GO+/vpr0tPTbc7ZvHkzmzdvJjg4mMGDBzN06FCqVq1aIPdk\nTYkSJfj6669p3bo1KSkp9OnTh23btuHr61tg13S2hGNeXAV8/fzo0q0bly9f5vz585w8eTJXKUpv\nb28CvL1dvp4RSAXOASVxXBJwxrRpjE9Ls/lcZAEVgV+ACsAaoA9w0LQfoDrwmtHIqiZN+GnHDjw9\nPcmPtLQ09u3bx6+//sqvv/7KuuXLmSWC9agE0AEn0Mobjjbtz1kndhDwxl9/8cdff+V7XQBPT09K\nlixJcHBwru33337j1zVrGJ6ZyXDgCFopRR87/XyOVpKzSI79cQYDdevXd2oszvDwww/j7+/PDz/8\nQEREhNv6VeSNTkSksAehuHeZN3cuk8aOZVxaGgNzvPzMJAMLdTqmGwxMiY1laFSU3b6Sk5NZtGgR\nn3zyCUeOHHF4zfbt2zN8+HC6dOmCl1fBftd8//33efnllwEYNWoUs2bNKpDrZGZm0rF9e0I2beLL\nHMeMQCYwFfgb+BTw4mb9XGsiPT1p8Pbb/9/encdFVa9/AP8Mi8yALC4Qbqlp7tomeV0j/amoiIK3\nMpcUM83KXK5llvtGJriloi1muaVh5V4uqVmmwDWTupmlaTdRQEGvCSjMPL8/DjMNw+wMDMrn/Xqd\nlzrnzDnfWZznfM/5fp8Hr772WrHHb9++jcuXLyM9Pd2wrF+3DvelpGCjiMVjHIQScNsA+AvAVCi1\ne89BCShDvbyQ+fjjeLxrV/j6+uKhhx5C3bp18XCLFjiXn2/2+2DsAQAzARiHhGwAjXx8sPfIEeh0\nOmRlZSErKwsZGRk4e/Yszp49iz///BNXrlzBjRs3UFhYaHiuCsBTgOE9fBHAWgB5AB4G8DUA4+rM\n9QBsANDF6LGnARypVQstWrUyBNVff/0Vu3fvxvjx4zFgwADD40FBQfDwMF/2PTMzE03r18fX+fl4\nAIAaf39mKgCri451C0Ctovc13PR9UKtx5o8/EBwcbOOdtN/IkSNRUFCADz/80GX7JBvc3SWnu589\n2auGxMTYnZxAp9PJoUOHZODAgSUSPRgvtWvXlunTpztVqMBeOp1O+vXrZzimpaQUzsrMzJR58+ZJ\n7dq1xcPDw+yo6ZmwPCDOeLFnFLNOp5Mvv/xSevbsKQAMx7N0jE8AaQZl3msIIJGApBkdT38/2tfX\nVxo1aiQPPvig1K1dWwbZMX7A0uhhgflBZ/YsppeD9ZfTvwVkHkrem7U0te6fffpITk6O4X1LSkoS\nALJgwQKHPl9XVgJzlR07dkhgYKAsiIuzmU+cXIOBmMqNrexVzsjIyJA333zTYtk+QLkfGhUVJbt3\n7y51uTxzsrOzpUGDBgJA/P39bSabsMf3338vsbGx4uPjI+Hh4dKtWzcloAGS4MSPtq0f7vz8fFmz\nZo20atWq2HtXmuMlqFQS0bmzbNq0SRISEmT8+PHyf//3fxLs52d10JnA+uhhfTA0N7Le1mI6QMp4\neR6Qt+0IxPr77IAyPuCBBx6Qzp07C6CkQP3000/lxIkTkp2dbTP7V1lVAnNWcnKyDIyKEg0gw6pU\nsZpPnFyHgZjuClqtVr744gvp37+/xbSNgFL8YP78+XL58mWXHj85OdnQO3/wwQclNzfX4X0UFBRI\nUlKSdOnSRdRqtTz77LPyww8/yO7duw3t9/Pzkxre3i774c7KypI5c+bIPffcU+x9qlKlisTGxsrG\njRudDxQajSxfvlymTp0qXbp0ER8fH5vBUGB79LBpMCxtj1i/jARkvB2B2NJJgKpo//rMXKqiz6t1\n69bSt29fGTt2rCQkJMjWrVslNTVVrly5IjqdrkLkmhZx3bxqchwDMd11/vvf/8rMmTOlTp06Fn+Q\nvby85IknnpADBw64rCzh22+/bdj/qFGj7H7e1atXZcGCBXLvvfdK3bp1JS4uTrKyskRE6W3rs3kB\nkAkTJognIHU8PEr1w3369GkZPXp0idrDNWrUkKlTp8qlS5cM2zoTKGp7eIinmfKHtoKhwProYVvB\n0NaigpIkJBOQj6GMQtYC8kVRAN1ZtH9ryWaG+fjIoKeflrlz50q/fv2kfnCwaFQqebrodel7kE+h\neDISsz30qlWlVatW0qZVK6nu5SUJNiqBLQTKJAhWlJOByoqBmO5aBQUFsm3bNunVq5fZmrj6pUmT\nJpKQkGAocuAsnU5XLIfzhg0brG6flpYmo0aNEo1GI506dZItW7bI7du3i20zbNgww/46d+4svr6+\n8uCDD8prr7wigSqVLIT1En3xRr0XnU4nBw8elMjISLPvQWJiosVkKYsWLpRAlcpmoNCXjLR2/1Yf\nDM3tYzQg7QG5aSMQOHuPGEXB8VdAHoOSIzsQSkrJ94323wCWk81U9fSUc+fO2d2DjAckUKWSKlau\n1BifpKiLXp/xWIpBHh7i5+EhfiqVTJ48WZKTkyUzM9MlJ5G2Ck+cL3qv/fF3AYq5KLvL45URR01T\npfD777/j3Xffxfvvv4/MzEyz2/j4+ODJJ5/E6NGj0aFDB6hUKoePc/36dbRt2xa//fYb/Pz8kJqa\nimbNmhnWa7Va7Nq1C0uXLsW3336LgQMHYuzYsXjkkUdK7GvHjh2IiooCAAQEBECtVqNKlSqYMmUK\nXnnlFeTm5kID5Re8H4DHAPhDmTKUotFgq1aLdmFhmB0fj7Nnz2LRokU4ceJEsWOEh4dj4sSJ6NOn\nj8XRvYAyklan0+G3U6dw4uRJ9NXp0EXEcLzDALZBGe2bZ8f7pAaQDhQbNf0HgAawPHpYLxtAHQDF\nJ7LZzxfK6O9/OfHceADTAfgEBCAgPx8Hbt92aGre89OmodNjj+H8+fO4cOECzp8/X2y5desWAOV1\n+0AZmV4IZeS0uR9qX19f1K9fHw0aNCi26B8LCQmx+T0eEhODNp99hnwo07P0U8eehjJ1TADcV9QO\n0z0tVqlwIjoa67ZuteNdIIvcfSZAVJ5u3bolmzdvlq5du1rtmbRq1UqWL1/ucOF5EWWglf5+aKtW\nreTmzZuSk5MjCQkJ0rBhQ6lVq5bMnj1bMjIyLO7j6tWrEhoaamhPnTp1xN/fXwYPHmyxl9mqUSN5\nsndvaf/ggxL/1lty5swZ6datW7FL24ByWX7w4MGSmppq8fg6nU5++uknSUxMlG7dupUYna4q6rlV\nLfrT0d6pb1FP0Z7LoKbLQli/3Gu8qNVq8ff3Fw8Pj2KPBxT16Bw5rnEyEXPP/xmQrlB62PdDKcZh\n+nxrPUitViuXLl2SY8eOyccffyxvvvmmPP/88xIRESHNmjUTjUbjcO9fo9FIs2bNJCIiQp5//nmJ\ni4uTTZs2yXfffSeXLl2Sy5cv2yw8cb7o8zV3v97VhScqKwZiqrROnz4tEydOlGrVqlkOGL6+MnLk\nSKtBy5xVq1YZ9tGsWTPx8/OTdu3aycaNG+0qFGEccGvWrCmenp4lRjTrlypVqsg777xjuEz5r3/9\nS8aOHSt+fn7FtgsMDJRXX33V7HSugoICSU1NlUWLFkn//v2levXqDv/oO7o4GwwDzOxLrVbLww8/\nLMOHD5eEhATZu3dvsQF5+fn5kpKSIomJifLss8/KvXXqSKgDxze+J9q9Y8cSJxGFgDQBZAmUwWZf\nQSl+Ybr/0kw50ul0kpGRIU888YQ88sgjsmDBAhkzZoz07t1bWrRoIb6+vg5/Bt6envK0melTl6Gc\nYJ0pCsQeUO6X14NyD/+K0bauLDxRWTEQU6WXm5sry5cvlwb165cY9Wr8o9W2bVt57733bKb/02q1\nsnPnTqlVq5bhuVOnTrW7PZ9++mmxIKsPouZ+SOvVqyfHjx8XnU4n33zzjcTExJTYJigoSJYsWVKs\npGR+fr4cOXJE5s2bJ48//rhTva3SLirA4WAYCkhwjRrSr18/mTp1qmzZskV+/vlnm5WWzHl76VIJ\nUavtuu9dzdNT/hkTI5999pkE+fiU2P5HKPdOjR/rAch0M/srbQ/y8uXLUrVqVTly5Eixx3U6nWRm\nZkpycrJs2bJFFi5cKC+++KL06dNHWrZsWeLEDDA/cM506thfgPwbyqC2TCh5uHsabe/qNJuVEQMx\nVWrW6tFaGvUaEBAgL730kqSlpRXb1/Xr12XZsmVy//33S0hIiLz22mvSqFEj0V8iNN3enKysLAkJ\nCSl2PNPLqvqlW7dukp6eLps3b5Z27dqVWN++fXtJSkqS1NRU2bhxo+zcuVNGjhwpTZs2tTrFq7yD\ncQBg16CzELValrq4cL21ZDODPT1Fo1KJr0l7zQ00MxeIuwMSY2ZbV/QgZ8yYIR06dHBosJZOp5Mr\nV65IamqqJCUlSXx8vLRu0MChwhMCpbeswt95r11deKIy4mAtqrT06Tcn5+VhmJhPv5kD4H0Ac6AM\nSjL9z9KxY0dER0fj3LlzWLduHZo0aYJx48bhySefhI+PD9LS0tCuXTvk5eWhWbNmSElJQdWqVZGZ\nmYmP1q7FmVOn8Nf166gaGIgmbdrgm6NHsW3bNpttHz9+POrUqYPly5fjwoULhsc9PDzQo0cPNGjQ\nANWrV8fhw4fx888/Izs72/k3qox5enoi2M8PN/76C9EeHuhQWFhs0NlnIojs3RvjpkxB27Zty6QN\nWVlZyueRloYbOTnwr1YNTVq3xjPDh0Oj0eDkyZNITU3Fu0uXYuz583je5PmFAJoBeB7AeABfAegL\noCuAPSbbJgI4OXQoVn/0kdPtvXHjBho1aoT33nvPMKDPGaOGDMHDGzYYXs8IKIPmdsN8zmsAyABQ\nG8A1KIMDXfF6Kj03nwgQuYUz8yZDYXlQUpUqVWTgwIFy+vTpEsdas2aNYbuIiAgZ3L+/2R740CpV\n7Jp3GhUVJQEBAcUe9/b2lnr16knNmjWtTtVy91KnTh1Rq9VStWpVWbFihaSlpRmmbJVF5jVXs1YB\nKw3KlKiagEQAMhRKkhDT7VzVg1y2bJm0aNGiVNnijGtOW5o6dhxKmlEdlHvDT0GZ5+3KHn5lx0BM\nlY6teZPW6tHW9Pa2WfauW7dusmXLlmKDsoYNG2a4DLvIxrzThTA/F9fcPb6KvAQFBcnQoUNlxYoV\n8vXXX8vly5elQ4cOolar79gUibZqQhsvHQB5x8zjrrqneuvWLWnYsKGsWbPG6X1kZGRIkFotp1A8\nM5h+vvBGQDYB0rDosdqADAMkA667500MxFQJDY6OlgVQihb8UfSDsrPoh+cCrNejXQhIrYAAee21\n12TgwIGGwVTmlnvuuUdef/11+f3332XZkiVSW6VyWQ+8oiyenp7SvHlzeeqpp2Ts2LHSsGFDqVKl\niixbtqzY/UudTicjRowQwHaik4rMuAdpupyCkoHrZtH35L6i75LpdkO9veWtN990SXvWr18vdevW\ndSqlql5FLDxR2TAQU6Wi7wFYmzdp/JhprmHTHkBWVpbEx8dL48aNrQasaiYpKbMB6Q9liksDKD0P\nc8HY3FQddy21atWSHj16yKRJk+TDDz+U77//XvLy8kSr1crixYvFx8dHHnnkEfn5559LvO9Lly4V\nAPLaa6+V90fuUta+P69AydTlD0hvQM6a2UZfkap58+ayb9++UrdHq9XKAw88IAsXLnR6HxWt8ERl\nxEBMlYqlHo2lknvmkv6buyem1Wpl//798s9//lO8vLyKBTBzySsGFi25gHwDJQnEf8z82DmSvMJV\ni1qtlkcffVSeffZZWbp0qXz11VeG3Nem/vjjD+natat4eHjItGnTSqToFBHZu3eveHh4SGRkZJlU\nvypvpelBmn6effv2lV9++aVU7dmzZ49Uq1atWFlGRzHXtHtx1DRVKqajRAFlxGsvAPcDWGmyvbnC\n8IkA3m7QAOG9eiEoKAiBgYGGPwMDA1FYWIj9+/cjKSkJ6enpJdI55hb9/T8AGhU9NgxK2sb5Jscv\nbTpHa1QqFRo3bow2bdqgdevW+OWXX+Dl5YW1a9daTXept3HjRrzwwguoWbMm1q1bh/bt25fY5tdf\nf0W7du0QGhqKY8eOISAgoAxeSflKSUlBVHg4juTm2pXeUu83AJ19ffH8q6/inXfeQXp6OgDAy8sL\nY8eOxbRp01Ctmrmx+9aJCLp27Yr27dtj/nzTb5D93klMxNQJE/Da7duIFfOzCLIBrFWpsFCjwaz4\neIwaM8bp45ERN58IEJUr01GvtuZN2qpHa2sxN+/0eyiXpI0fSwAkykLvozQFDvRLzZo1pWvXrjJ+\n/HhZuHChvP7668UKPJw5c0YaNWok169ft/keXr16VQYOHCiAUmXqxo0bZre7du2aNG/eXKpVqya/\n/vqryz7DiqC0Pci//vpLpk+fXqz6VY0aNWT58uVOJSc5fvy4+Pr6ysWLF51+TefOnZNNmzZZnFet\nr0c8JCaGl6NdjIGYKhXTUa+2Su5Zqkd7b82a0rJlS6lTp45UrVrVYgA0l7noCCC1TB57F5DHLbTB\nkZJ/Pj4+8vDDD8uwYcOkV69esnfvXrl06VKJxA9xcXGGAT46nU66desmW7dutfn+7d27V+rUqSMh\nISGyY8cOi9sVFhZKnz59xNPTU/bv31+6D62C0ldfsjYK/iogCVbq9164cEEGDRpU7DNs0aKFfPHF\nFw63Z8CAAQ6V3zSm0+mKfZ53wlSyuwkDMVUq9sybFFivR2t6jzg9PV127Nghb7zxhvTq1Uvq1atn\n+FGtCpSYd2quRxwPyz1iSz3whg0bSlRUlEydOlU2b95cItVjQkKC5OXlmX0f0tPTJTExUURE1q1b\nJ3379rWapSk3N1defvllASD9+/e3+YM8efJkASDLli1z5OO541jLzOVID/K7774rkR2tV69e8p//\n/Mfutpw+fVp8fHzMzmW35fDhw04VOCHXYCCmSsWeeZMC6/VoA7y95eWXX5aIiAi55557rPZQzfWI\nbwLiA8hvRo8NBWSKlR5x/ZAQefHFF2X16tVy9OjRYnmjLdmzZ4/8+9//trj+rbfekvPnz0vDhg3l\nwoULFrdLTU2VZs2aSdWqVWXNmjU20yquX79eAMjIkSNdUi/3TuCKHqRWq5UNGzZI3bp1Dd8fT09P\nGTt2rN21skeNGiUDBgxwqO05OTny9ddfO/Qcci0GYqp0XDnq1Zl7xALI04AMKgrKRwAJgvlR0wLI\ncCczF6Wnp1tN9pCZmSnt27eXhIQEs+sLCgpk7ty54uXlJZ06dZJz587ZPGZycrL4+PhIp06d7Koy\nRSXdvHlTZs+eXayaUrVq1WTJkiVmR6Ubu3jxovj6+sqxY8fsPt727dsrzQlTRcVATOUuIyNDFi5Y\nIM8NHixPR0bKc4MHy8IFC8rt/lNp5k1amtdrLbGHGiULGhjPI64PyMcWjnm1KPAvX77c5o+wKZ1O\nJ/PmzbO4/vDhw1KnTh2zva3ffvtN2rdvL97e3vLmm2/aNe3o4sWLUrt2balXr57VWstknz///FOe\neeaZYt+lpk2bys6dO60GzilTpkh4eLhdwfXkyZNy/vx5VzabnMBATOXGWqUj/f20wdHRZZb+UKfT\nycWLF2Xnzp3SLzJS6nh6OpXpqlGjRhIdHS0xMTHSoEEDm71ic/OI7V3ii54PKAk1Vq5cafG+r6mM\njAzpFRFh9oQnPz9fWrZsKfv27ZMlS5YUe4/eeecd8fPzk5YtW8r3339v17Hy8vLk0UcfFV9fX7uf\nQ/ZJTk6Wjh07FvtOde/e3WI1r5ycHKlWrZrs2bPH6knv7du3Zffu3eX8asgcBmIqF/oRpott5Fle\nZGWEqSO0Wq2cPn1aNm3aJJMnT5YePXpIcHBwicvG9pTgWwglx/S/JkyQs2fPypw5cyQ0NNTuy9Mo\nOo6zmYs++eQT6dmzp9JmlUpq1KghCxYssDjVyPiEZ6iXl9kTnkeaN5cnn3xSRESWLFkiV69elcuX\nL0tkZKQAkIkTJ9od8HU6nQwdOlQAyJYtW0r1uZF5Op1ONm/eLPXr1zd8pzw8PGTMmDFmryS9/PLL\nUisgwOpJ7/916CBHjx51w6shUwzEVObKOmtPXl6epKSkyLvvvisvvPCCtG/f3qECCRool48HqVTF\nRr0ONxr1unnzZnnuueeKzft0ZFEBDvfATd8Dfc9IpVKJh4eHBAQEyLRp04plvbL3hGchIKEajaxe\nuVKuXbsmsbGxEhwcLHXr1pUDBw449PkuXLhQAMj06dMdeh45Ljc3V+bPn19sylxgYKAkJCQY7snr\nvwPxVk4ws2F9WhWVLwZiKlP6+7EzAGkLZbRwrMmPwn5AmkG5X9oVyuhkS3lsc3Jy5ODBg7Jo0SIZ\nOnSotG7dukRKSVtLaGioREREyJQpU2TLli1y5swZuXz5colRrwvfeku2bNkiERER9gVbC+UHVSqV\nzJs3T1a5YN6piDKXV/+6vb29RaPRyIQJE+TN+fMdP+HRaKRThw4CQAYMGOBwmsRdu3aJSqWS6Oho\n0Wq1Tn9PyDHp6ekyYsSIYt+5xo0bywujRzNV5R2IgZjKlH6E8meAbAPkBZNAfAVKnuWtUObuvgLI\nP4rWJahU0q19e5k9e7ZER0fbdT/WdGncuLE88cQTMn/+fNm9e7dcunTJZpvz8vLk/fffl1atWtl1\njODgYPHw8DC7LigoqNh9OON5p8N8fJyed6rVamXz5s1y3333iUajER8fH7OXv4dAubcdCEhTQN4z\n80McAMiMGTMcLhzw888/S0BAgLRu3dpidi0qWydOnJAuXboYvm/+gMXynsbLLChXaQ6AxRsqAgZi\nKjPmKtVMNQnE7wDS0ejfN/F38QV9pRp7gqG3t7c89NBDMmLECFm2bJkcOXLErrm2pu2dOXOmhISE\n2HXMTp06Sa9evSyub9mypcXUjpmZmTJt6lRRQ5nDfH/duk5lLrp9+7asWrVKqvn4mB0Q9hOUxCRS\n9J6GAnLCZJuEolJ2iYmJkp6ebtdxs7Oz5f7775eaNWvK77//7lCbybV0Op1s3bpVavr6ynxYLu+p\n/7zPAtIakDpFgVjAcobuxkBMZcZcpSPTQDwOSi/ZeJvW+Lscobk8ywEBAdKlSxd5+eWX5YMPPpCT\nJ0+Was5qWlqaPPvss+Lj42Mz+Hp5ecmgQYNk//79EhYWZnG7AQMG2DwRyM/PN2zfvn17p9ufkZEh\nQT4+Fi9365fTUFJrfmLyuL6044ULFyQuLs6wT0ujbQsKCqR79+7i5eUlhw4dcrrd5DrWvgOm5T0j\noPSSGxgFYtPynlS+vEBURs6cOoVH863XDfoLQIjJYwEAbhT9/TEA/65dG0/FxuKhhx7Cgw8+iIYN\nG9pVHcgaEcGXX36JxYsXY+/evTa3r1atGkaPHo0XX3wRV69eRdeuXZGdnV1iO5VKhblz52LKlClQ\nqVRW9+nj4wN/f3/cuHEDV65ccfq1fLR2LaJVKrPVcgDgRQBrAeQBeBhAb5P11QFEq1T4ZPNm3Lhx\nAwMiIvDV4cOIARCWnw9/KJ9H8qefosmMGahXpw7Szp7FqlWr8NhjjzndbnIdS9+BDABnALQs+vcn\nANQAIky2038HPlq7Fv965ZWybSyVwEBMZeav69fhb2ObqgD+Z/LYdcDwPH8AYQ8/jLlz57qkTXl5\neVi/fj0WL16Mn3/+2eb2jRs3xoQJEzBs2DD4+fnhgw8+wHPPPQetVlti28DAQGzatAm9evWyuz01\na9YsdSC2dcKzAsByAN8BOATAx8w2YXl5+DgpCWd+/BGv5uXhPSlZBu/5vDwkAHj/7FnEeXlBpdM5\n3WZyLXPfgUIAQwDEAmgC5WTqDQAHLOwjLC8PJ9PSyrKZZAEDMZWZqoGBhp6tJS0BfGj075sAtSz+\niwAAGHBJREFUzuLvM/gbAPydqNFq6vLly1i5ciUSExPtCnrh4eGYOHEi+vTpAw8PD2i1WsTGxmLt\n2rVmt2/RogU+//xz3H///Q61q2bNmvj999+Rk5ODwsJCeHk5/l/SnhMeFYAOANZBqaf8ksn6VABn\nU1NxRKezWmO3GoBJAPoXFqLnpEkAwJq0FYDpd0CgBGEfAG8XPTYLwDNQamyb4w/gRk5OmbWRLCvd\n9T0iK5q0aYNktRoAoIVS3F4L5Uz9VtHfowH8BOCzosdmAXgQyhk8AKRoNGjSurXTbTh16hRiY2NR\nv359zJkzx2oQ9vb2xjPPPIMTJ07g4MGD6Nu3Lzw8PHD16lW0adPGYhCOiYnBsWPHHA7CgBKI9cxd\n6raHPSc8eoVQTnSMpQDYDuCQURD2h3KLIKDo714Axhk9pzGAL3NzMWPSJKSmpjrVbnId0+/AswCu\nAPgUgGfRYwcALANQq2j5L4AnASwsWu+qk15ygrtvUtPdy3jU9MyiQVfG1YxmFQ0UOQBlHrEvlJq8\nF0o5gESr1crOnTulW7dudo1+rl69urzxxhtmi6ofP37cYr1h/fzg0iTM12ekAiA//fSTU/swNyhO\nAMmEksP6L0C0gHwBZYT2TpPtBgOSYGWQ119QRt5+Y2YdR9tWDPaU98wGJMNoqQdl2qB+O9PynlR+\nGIipTJWm0pGjP/I3b96UxMREadq0qV0BuGnTprJq1Sq5efOm2f0tWbLE4vzgwMBA2bVrV6nfnwkT\nJhj2efjwYaf2YW6amACSBchjgFSDMo+4DSDvm2yTAaXyk7UR12sBaWRhHUfbVgz2lvc0XhqCo6Yr\nCgZiKlOlqXRkb5KBixcvyuuvvy7Vq1e3KwB369ZNdu3aZTETVGFhoURHR1t8fosWLeTMmTMueX/m\nzZtn2O/WrVud3o+zJzwLodRCtrZNV/x99cLcwp5UxVCeJ73kWgzEVObKKtf0iRMnZOjQoeLt7W0z\n+FapUkWGDx8uJ0+etLrPjIwMqxm8YmJiHE4UYvW9Wb3asO/Vq1c7vR9nT3gGQikEYGn9eUC8iv60\ntM1KQEYNHeqy94ScUx4nvVQ2GIipXKxeuVJCfHwkwY48y/doNPKmhTq6Wq1Wtm3bJuHh4Xb1fmvW\nrCnTpk2zK7Xl/v37LRZ1UKlUMnfuXJcXUN+6davhGNZqB9vDmROeezw8ZL2VbeYAEm5jP+sAeToy\n0kXvCJVGWRdYobLB6UtULkaOHo2c//0P3ycnY87u3YhWqRCWl2dIFpGi0eAzEUT27o2dU6bAy8sL\nN2/ehJ+fHwDg5s2bWLt2LZYuXYpff/3V5vGaN2+OiRMnYvDgwdBoNDa3nzFjBubMmQMRKbEuMDAQ\nGzZsQJ8+fRx92TbVqFHD8PfSzCUG/p5G1GHCBEy+dQsjALNJPrIBrFWpsFCjQfOWLXEjJcXiPtcB\neN3GcTnatuLQfwc6T5qEV/PyMFxKzgcHin8HZsXHcwqamzEQU7nYt28fxowZg4DJk5GVlYWP1q7F\nybQ03MjJgX+1amjZujUWDB+O4OBgw3O+/fZb3HvvvVixYgVWr16Na9eu2TxOjx49MGHCBPTs2dNm\nZisAKCgoQPfu3XH48GGz652dH2wv4+lLpQ3EABA7ciRWrFqF5Hvvxdz9+62e8OyYMgWHvvoKyWlp\neN5MQpCjANIB/NPGMVM0GrQsxRQzcq1RY8bg4bAwLI2Lw2wbJ707pkxB27Zt3d3kSk8l5roARC6U\nl5eHAwcOIDIy0u7npKamIj4+HklJSWazWBnz8fHBkCFDMH78eLRq1cruY5w7dw7/+Mc/kJWVZXZ9\ndHQ0PvzwQ/j720qX4byMjAyEhoYCAHr16oXdu3eXan8rV65EQUEBxo0bZzjhOWN0wtOkdWs8Y3TC\nk5mZiab16+Ncfn7JTFpQ5n6vtXK8bACN1Gqc+eOPYidRVDHY8x2gCsDNl8apEvj888/l9u3bNrcr\nLCyUTz/9VDp37mzX/d+QkBCZOXOmZGRkONymTZs2WaxjrL8fXB71dW/fvm04blhYWKn2de3aNenQ\noYPDBTA42pbIvXhpmkotMzNTOes+dQp/Xb+OqoGBaNKmDYbFxkKlUiEwMBDe3t4Wn3/jxg188MEH\nWLp0Kc6dO2fzeK1atcKECRMwaNAgqIsyd9lLRDB69Gi8++67ZteX5f1gc7y9vREUFIRr166V+tL0\n/Pnz8corr6BKlSoOPW/clCmI+vJLRObmWk1vaeo3AG9pNNgxZYpDxyMiE+4+E6A7V3JysgyOjpYg\ntVpGqNWSCMj6oukw+iL34Y8+KsePHzf7/AsXLsikSZMkMDDQrh5wRESE7Nu3z+mRy9evX5dWrVpZ\n3L8r5wc7onHjxgJA/P39nd7H77//Lj169HD6veFoWyL3YSAmp6xeuVJCfX1lsZXpSNlF05FCTX6w\njx8/Lk899ZR4enraDL5qtVpGjRolP/74oxw9erRYG6zVzDWVnJxsMVUlAImOjnbp/GBH/OMf/zC0\nIz8/36l9PP3006WeB6r/TBfZMcXM9DMlIucxEJPDnO09jR45Ujp06GBX7zc0NFTmzJkjWVlZhuPm\n5OTIjz/+aFdPfHB0tCQnJ4uISEJCgqhUKov3g+fMmVMu94MtiYyMNLTHXL5rW7777jsZ6qKEGikp\nKTIkJkaC1GqJ1WhkJZR5wiuN3tshMTFM/kDkQhw1TQ5JSUlBVHg4jpjcTwwHcByAN5SIUheAcbXf\n3wA8gpK1h0098MADmDBhAgYOHAgfn5KVc+fPnYtl8+fjtfx8DLMwRzIHyhzJtzQahNx3H079+KPZ\nYwUEBGDjxo3ldj/YEuPyiqdOnUJrB6YCiQi6d++ODz74APXqWSpw5ziOtiUqPxysRQ5ZGheHyXl5\nJQb1qACshFKE3JzGAKYBmA4gz8z6yMhITJgwAY8//rjF+b/vJCbi/bg4fGPm+MaqAZgggr65uej8\n449QQTk5MNa8eXN8/vnnaNKkiZk9lK/SzCVOSkpC+/btXRqEASA4OBj/euUVl+6TiMxjPWKyW2Zm\nJnbt2YNhFi6i2Lq0MsJkG41GgzFjxuD06dPYsWMHunbtajEIp6SkYMakSfjSwsjeXwFooBQ+12sM\n4AgA01nA0dHROH78eIUIwoDzgfjWrVtYvHgxXn311bJoFhGVEwZisttHa9ciGubTJgLAFAAhADoD\nMJenqjqAfgAC/f0xf/58/Pe//8XKlSvRtGlTm8e21BPXewnAo2Ye1/fENQBUKhXmzJmDpKSkMk3S\n4ShnA/Hbb7+N2NjYCvVaiMhxvDRNdjtz6hQeNZMKEQDeAtACQBUAmwD0BfADgIYm2z0GoGrfvpji\nwNxTfU/8bQs98Y+hnBy0gHIv2tQIKJfE169fj0GDBtl93PLiTCC+cuUKtm/fjoMHD5ZVs4ionLBH\nTHb76/r1Epd59cIA+EEZrPUMgI4AzCVr9AeQ+z9bQ7aKs9YT/x+AGQAWwfKl8eoAnlSrceniRYeO\nW16cCcSzZs3C1KlT4enpWVbNIqJywkBMdqsaGIgbdm5rboAU4FylHms98ekAngNQ28Y+2uXn40xa\nmkPHLS+OBuLTp0/jwoUL6NGjR1k2i4jKCQMx2a1JmzZINpNS8jqAvQBuAdAC2ABlkFSEmX2kaDRo\n4mClHks98ZMA9gMYb8c+/AHcyMlx6LjlxdFA/PrrryMuLq4sm0RE5YiBmOz2zPDh+AzKPF1jBQCm\nQhmoFQxgBYBtQImBVdkAPhPBM8OHO3RcSz3xwwAuALgXQC0A8QCSAJgr6laRa+YGBQXBw0P5r2gr\nEB88eBAhISFo2bJleTSNiMoBAzHZLSQkBH169cJakylGNQEkQ+kZZ0OpY9vVzPM/VKkQ2bu3wwkh\nLPXERwM4C6Vn/AOUsn2RUHrnppzpiZcXT09PVK9eHYD1QKzVajFz5kzMmjWrvJpGROWAgZgc8vzE\niZjj4WF2dLI1+ko945yo1GOpJ66G0gvXL1WLHqtusp2zPfHypL88bS0Qr1u3DhEREbjnnnvKq1lE\nVA4YiMlu165dw9SpU3FNq8VjDgTj3wD09PXFrPh4tG1r7sKxdSEhIejcsSPW2NhuBoCPzDzubE+8\nPOkDcW5uLnJzc0usv3nzJt555x2MH2/PHXEiupMwEJNd0tPT0aVLFxw+fBj9+vfHlMWL0dnXF4tV\nqhI9Vb1sAAkqFTqq1ZgcH49RY8Y4dexPP/0U+48exWyYnydsTWl64uXJeMDW1atXS6xPSEjASy+9\nBI1GU57NIqJywEBMNp0+fRrt27dHWloaRo8ejaSkJLz08svYcfgwTkRH4z61GiM0GiQCWA8gEcAI\njQaN1GqcjI7GmqQk9IqMdPi4Wq0WU6dOxYABA5CXl4cbULJ2lVdPvDxZGzmdnp6OQ4cOYeDAgeXd\nLCIqB8ysRVYdO3YMkZGRuHr1KmbOnInp06cb8kG3bdsW67ZuNVTqOWlUqadl69ZYYFSp58SJEwgO\nDoa6aNBVZmamUt3n1Cn8df06qgYGokmbNhgWG4vg4GBcu3YNgwcPxu7df6cFEQAZUKo4TYeSMcvc\nOOhsKNWXFmo0mFWKnnh5shaIp0+fjtmzZxtGVhPR3YVlEMmiXbt24YknnsCtW7eQmJiIUaNGOb0v\nEcHx48fh6emJpXFx2LVnD2IAhOXnK3N8ASRrNPhMBJ07dsT3v/yCP//80+y+Ro0ahZtZWdi1Zw+i\nVSqE5eUZ9pFStI/I3r0xbsqUCt8T1ps5cyZmz5oFNYCwhx5C0xYt0KRNGzwSFobExERs2bLF3U0k\nojLCQExmrVmzBqNGjYK3tzc2bdqE/v37l3qfSxctQtwbb+C1W7es1hJ+H8AcKIHV+MsZEBCADRs2\nILLoMvfdUDM3JSUFS+PisH3nTkQWFKALYDipOK7RYMutW+jerRvemDcPYWFhbm4tEZUJITKi0+lk\n7ty5AkCCgoLkyJEjLtnv6pUr5T5fX/kVELFj+RWQUEBUSiyWZs2ayenTp13Slopi9cqVEurrK4tV\nKsm28D5kA7JIpZJQX19ZvXKlu5tMRGWAgZgMCgsL5cUXXxQAUrduXfnxxx9dst/k5GQJtRCENwHS\nHBA/QBoD8o1JMA4ApEuXLnL9+nWXtKWicObE5D4GY6K7Ekd/EAAgPz8fAwcOxIoVK9CiRQscPXrU\nZWkULdUS3gelhvGHAP4C8DWA+4zWNwYwQ6VCvRo1EBAQ4JK2VAQpKSmYNG4c/HJz0QrKoDO94wB6\nAKgB4B4ATwG4DOW9+DI3FzMmTUJqamq5t5mIyg7vEROuX7+Ofv364fDhw+jYsSO2b99uSLlYWpmZ\nmWhavz7O5eeXuCfcEcBIALFWnp8NoJFajTN//HHH3Pe1ZUhMDHw++wz9AHwJIA8wJCv5AsBNAD2h\nTGl4EUA6gD1F6xerVDgRHY11W7eWc6uJqKywR1zJFUvU0a8f9u3b57IgDFiuJawDkAogE8D9UAo3\njIVSwclYdQDRKhU+WrvWZW1yp8zMTOzaswfxAKJQMh1nBIAB+Dtd50tQcnfrDRPBzt27kZWVVS7t\nJaKyx0BciekTdZw6dQqjRo1CUlKSyzM3WaolnAGlatNWAN9CKdzwPYC5ZvYRlpdXYWsJO8rSiYkl\nhwEY3yC4205MiIiBuNI6duwYOnXqhD/++AMzZ87EqlWr4OXl+vwulmoJ68P9y1AKNlQHMBHAbjPb\nVuRawo6ydGJiziko07jiTR6/m05MiIiZtSol40Qdq1atwujRo11+jKysLOzatQv//uEHdDGzPghA\nXZPHVGa2Ayp2LWFHWToxMfUbgN4A3gbQwWTd3XRiQkQMxJXOBx98gOeeew5eXl7YunWrSxJ16P3y\nyy/Yvn07tm/fjqNHj0Kn00EF4GuVCs+bGRMYCyXQ6AcmLQbQ18x+UzQatKygtYQdVTUwEDdsbHMB\nQHco1aQGmVl/N52YEBEDcaUhIoiLi8Mbb7yBoKAg7NixA506dSrVPrVaLb777jtD8P3ll18AACqV\nCu3atUNUVBQ6duyIfj17IsfMqOlpAK4AaALlUvVTAF432UZfS3hBBa4l7IgmbdogeetWPJefjwIA\nWgCFUAapeUG5d94NysC15yzs4246MSEiTl+qFLRaLcaNG4cVK1agbt26+OKLL5yeI3zz5k3s3bsX\n27dvx86dOw0FCtRqNbp3746oqChERkYiNDTU8JwhMTFo+/nnGO/EV+1um66jn841Oj8fb6H45fgZ\nRX/OAuBX9Hcp2uZ/Rf++G6dzEVV2DMR3KFvVi/Ty8/MxdOhQJCUloXnz5vjyyy9Rr149h46Vnp6O\nnTt3Yvv27di/fz9u3VImGQUHB6Nv376IiopC9+7d4evra/b5KSkpiAoPx5Hc3BJJPaz5DUBnX1/s\nOHz4jineYA+emBBRMe5L6kXOSE5OlsHR0RKkVssItVoSAVkPSCIgsRqNBKnVMjg6WpKTk+XatWsS\nHh4uAKRjx45y9epVu46h0+nk1KlTMnfuXAkLCxMU5XsGIM2bN5fJkyfL0aNHpbCw0O52M6Xj36yl\n/LSZf9vXV1JSUtz9EojIhRiI7yCOFAm4R6ORenXqCACJioqS3Nxcq/u+ffu2HDhwQMaNGycNGzY0\nBF4PDw/p0qWLxMfHy5kzZ1zS/kVW2n8VkIRKUOSAJyZEpMdAfIdwtnpRl06dpKCgwOw+r127Jh9/\n/LE8/fTTEhgYaAi+fn5+MmDAAPnwww/lypUrLn0dKSkpMiQmRoLUaonVaGQlIOsAWWnUox8SE1Mp\nen08MSEiERHeI74DpKSkoFvHjmhQUIAzUKa0rDFanwfgXwA+gTIC9wEAh2D+HuuFCxewY8cObNu2\nDYcOHUJhYSEAoHbt2oiKikK/fv0QHh4OtVpdpq/pbqgl7AqpqalYGheHnbt3I1qlQlhenqEecYpG\ng89EENm7N8ZNmXJX3Scnor8xEN8BrBUJAIAhUHI3L4eSOvEkgIeK1i1SqfBVeDge6dwZ27Ztww8/\n/GB43gMPPIB+/fohKioKDz/8MFQqSyk1qKzxxISo8mIgruBMqxdNA3ARfwfiXwC0A/AnlEIBprIB\n1AGQD8DLywvh4eHo168f+vbti/r165fDKyAiImuY0KOCs1UkIBlAfQDTAawDUBvKfNSYovXVAcR4\nesJj4EAsX7ECgYGBZd1kIiJyAIs+VHC2igT8CSANSqC+BCVl5DAoPWW9TlotfD08GISJiCogBuIK\nzlaRAA2AKgCmQrm80QXA4wD2Gm3DIgFERBUXA3EFZ6tIQJuiP41v9JsOuWKRACKiiouBuIJr0qYN\nktVqaKEMuDIuEqCF0gO+F0Bc0b+/hTJ1qafRPlI0GjRhkQAiogqJo6YrOFtFAqYD+A+AkVDuFdcH\nMB9AVNE2LBJARFSxcdR0BRcSEoI+vXoh9PPPobNwztQCwFELz/9QpUJk794MwkREFRR7xHcAVi8i\nIrp78R7xHSAsLAyz4uPR09cXv9n5nN8A9PT1xaz4eAZhIqIKjIH4DjFqzBhMjo9HZ19fLFapYGky\nUjaUtJadfX0xOT4eo8aMKc9mEhGRg3hp+g7DIgFERHcXBuI7FIsEEBHdHRiIiYiI3Ij3iImIiNyI\ngZiIiMiNGIiJiIjciIGYiIjIjRiIiYiI3IiBmIiIyI0YiImIiNyIgZiIiMiNGIiJiIjciIGYiIjI\njRiIiYiI3IiBmIiIyI0YiImIiNyIgZiIiMiNGIiJiIjciIGYiIjIjRiIiYiI3IiBmIiIyI0YiImI\niNyIgZiIiMiNGIiJiIjciIGYiIjIjRiIiYiI3IiBmIiIyI0YiImIiNyIgZiIiMiNGIiJiIjciIGY\niIjIjRiIiYiI3IiBmIiIyI0YiImIiNyIgZiIiMiNGIiJiIjciIGYiIjIjRiIiYiI3IiBmIiIyI0Y\niImIiNyIgZiIiMiNGIiJiIjciIGYiIjIjRiIiYiI3IiBmIiIyI0YiImIiNyIgZiIiMiNGIiJiIjc\niIGYiIjIjRiIiYiI3IiBmIiIyI0YiImIiNyIgZiIiMiNGIiJiIjciIGYiIjIjRiIiYiI3IiBmIiI\nyI0YiImIiNyIgZiIiMiNGIiJiIjciIGYiIjIjRiIiYiI3IiBmIiIyI0YiImIiNyIgZiIiMiNGIiJ\niIjciIGYiIjIjRiIiYiI3IiBmIiIyI0YiImIiNyIgZiIiMiNGIiJiIjciIGYiIjIjRiIiYiI3IiB\nmIiIyI0YiImIiNyIgZiIiMiNGIiJiIjciIGYiIjIjRiIiYiI3IiBmIiIyI0YiImIiNyIgZiIiMiN\nGIiJiIjciIGYiIjIjRiIiYiI3IiBmIiIyI0YiImIiNyIgZiIiMiNGIiJiIjc6P8BtQg3MD6ksbYA\nAAAASUVORK5CYII=\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "edge_betweenness=nx.edge_betweenness_centrality(G)\n", "\n", "#取出键值\n", "edge_betweenness_values=edge_betweenness.values()\n", "#取键形成新的列表\n", "edge_betweenness_keys=edge_betweenness.keys()\n", "\n", "pos=nx.spring_layout(G)\n", "#nx.draw(G,pos,with_labels=True,nodelist=load_centrality_keys,node_size=[x*10000+10 for x in load_centrality_values])\n", "nx.draw(G,pos,with_labels=True,edgelist=edge_betweenness_keys,width=[x*60 for x in edge_betweenness_values])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 4.8 网络中的平均最短路径长度\n", "\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### 4.8.1 取出网络中的连通成分" ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "collapsed": false }, "outputs": [ { "ename": "NameError", "evalue": "name 'nx' is not defined", "output_type": "error", "traceback": [ "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m", "\u001b[0;31mNameError\u001b[0m Traceback (most recent call last)", "\u001b[0;32m\u001b[0m in \u001b[0;36m\u001b[0;34m()\u001b[0m\n\u001b[0;32m----> 1\u001b[0;31m \u001b[0mG\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0mnx\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mread_edgelist\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m'edge.txt'\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 2\u001b[0m \u001b[0;31m#如果该网络是连通的则返回True,否则返回Flase\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 3\u001b[0m \u001b[0;32mprint\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mnx\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mis_connected\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mG\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 4\u001b[0m \u001b[0;31m#打印连通成分的列表\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 5\u001b[0m \u001b[0;32mprint\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0mlen\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mc\u001b[0m\u001b[0;34m)\u001b[0m \u001b[0;32mfor\u001b[0m \u001b[0mc\u001b[0m \u001b[0;32min\u001b[0m \u001b[0msorted\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mnx\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mconnected_components\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mG\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mkey\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0mlen\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mreverse\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0mTrue\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n", "\u001b[0;31mNameError\u001b[0m: name 'nx' is not defined" ] } ], "source": [ "G=nx.read_edgelist('edge.txt')\n", "#如果该网络是连通的则返回True,否则返回Flase\n", "print(nx.is_connected(G)) \n", "#打印连通成分的列表\n", "print([len(c) for c in sorted(nx.connected_components(G), key=len, reverse=True)])\n", "#选择最大的连通成分\n", "Gc = max(nx.connected_component_subgraphs(G), key=len) \n", "print(nx.is_connected(Gc))\n", "pos=nx.spring_layout(Gc)\n", "#绘制图表\n", "nx.draw(Gc,pos,with_labels=False,node_size=500)\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### 4.8.2 网络的直径" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "nx.diameter(G)返回图G的直径(最长最短路径的长度)," ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### 4.8.3 节点间平均最短路径长度" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "而nx.average_shortest_path_length(G)则返回图G所有节点间平均最短路径长度。" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# 5 社交网络的社团划分算法" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 5.1 创建环境与网络数据的读入" ] }, { "cell_type": "code", "execution_count": 144, "metadata": { "collapsed": true }, "outputs": [], "source": [ "#由于networkx中没有常用的社团划分算法,所以这里面我们使用igraph包中的社团划分算法来分析网络社团结构,但是画图还是用networkx中的画图功能\n", "import igraph as ig #导入igraph网络分析模块" ] }, { "cell_type": "code", "execution_count": 146, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAeIAAAFBCAYAAACrYazjAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nIRYIBAKBwIQIIRYIBAKBwIT8P3ztAgJw2j92AAAAAElFTkSuQmCC\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# 连边对数据可以直接读取来生成网络\n", "Gn_karate = nx.read_edgelist(\"karate.txt\")\n", "Gn_karate = Gn_karate.to_undirected() \n", "\n", "#对生成的网络数据进行可视化\n", "pos=nx.spring_layout(Gn_karate)\n", "nx.draw(Gn_karate,pos,with_labels=True)" ] }, { "cell_type": "code", "execution_count": 161, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "IGRAPH U--- 34 78 --\n", "+ edges:\n", " 0 -- 1 2 3 4 5 6 7 8 10 11 12 13 17 19 21 31\n", " 1 -- 0 2 3 7 13 17 19 21 30\n", " 2 -- 0 1 3 7 8 9 13 27 28 32\n", " 3 -- 0 1 2 7 12 13\n", " 4 -- 0 6 10\n", " 5 -- 0 6 10 16\n", " 6 -- 0 4 5 16\n", " 7 -- 0 1 2 3\n", " 8 -- 0 2 30 32 33\n", " 9 -- 2 33\n", "10 -- 0 4 5\n", "11 -- 0\n", "12 -- 0 3\n", "13 -- 0 1 2 3 33\n", "14 -- 32 33\n", "15 -- 32 33\n", "16 -- 5 6\n", "17 -- 0 1\n", "18 -- 32 33\n", "19 -- 0 1 33\n", "20 -- 32 33\n", "21 -- 0 1\n", "22 -- 32 33\n", "23 -- 25 27 29 32 33\n", "24 -- 25 27 31\n", "25 -- 23 24 31\n", "26 -- 29 33\n", "27 -- 2 23 24 33\n", "28 -- 2 31 33\n", "29 -- 23 26 32 33\n", "30 -- 1 8 32 33\n", "31 -- 0 24 25 28 32 33\n", "32 -- 2 8 14 15 18 20 22 23 29 30 31 33\n", "33 -- 8 9 13 14 15 18 19 20 22 23 26 27 28 29 30 31 32\n" ] } ], "source": [ "#获取网络数据中的边列表,并根据其使用igraph创建网络\n", "Gi_karate_d=ig.Graph.Read_Edgelist(\"karate.txt\") #基于这些连边使用igraph创建一个新网络\n", "Gi_karate=Gi_karate_d.as_undirected()\n", "print Gi_karate" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 5.2 基于K派系进行社团检测" ] }, { "cell_type": "code", "execution_count": 194, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[frozenset([u'10', u'16', u'5', u'4', u'0', u'6']), frozenset([u'22', u'26', u'19', u'12', u'15', u'21', u'13', u'27', u'20', u'14', u'17', u'23', u'33', u'32', u'31', u'30', u'28', u'29', u'1', u'0', u'3', u'2', u'7', u'18', u'8']), frozenset([u'24', u'25', u'31'])]\n" ] } ], "source": [ "community_list=list(nx.k_clique_communities(Gn_karate, 3)) # k=3\n", "print community_list" ] }, { "cell_type": "code", "execution_count": 195, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 195, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAeIAAAFBCAYAAACrYazjAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nAAAAAElFTkSuQmCC\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "#用三个不同颜色表示出三个不同的社团\n", "nx.draw(Gn_karate,pos,with_labels=True, node_size = 500)\n", "\n", "nx.draw_networkx_nodes(Gn_karate,pos,nodelist=community_list[0], node_size=500, node_color='g', with_labels=True)\n", "nx.draw_networkx_nodes(Gn_karate,pos,nodelist=community_list[1], node_size=500, node_color='y', with_labels=True)\n", "nx.draw_networkx_nodes(Gn_karate, pos,nodelist= community_list[2], node_size=500, node_color='b', with_labels=True) " ] }, { "cell_type": "code", "execution_count": 196, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1]\n", "0.170529257068\n" ] } ], "source": [ "#计算社团划分对应模块度\n", "membership=[] #新建一个空列表,membership初始化\n", "for i in range(0,len(Gn_karate)):\n", " membership.append(0)\n", "\n", "# 根据社团划分对membership赋值\n", "for i in range(0,len(community_list)):\n", " nodes=map(int, community_list[i])\n", " for j in nodes:\n", " membership[j]=i\n", "print membership \n", "\n", "#根据membership计算模块度\n", "Q_modularity=ig.GraphBase.modularity(Gi_karate, membership)\n", "print Q_modularity " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 5.3 基于fastgreedy算法的社团检测" ] }, { "cell_type": "code", "execution_count": 162, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Dendrogram, 34 elements, 33 merges\n", "\n", "18 22 15 8 30 32 24 25 31 28 26 29 33 23 27 14 20 7 3 12 9 2 13 1 17 21 19 16 5 6 0 4 10 11\n", "| | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |\n", "| | | | | | | | | | | | | | | | | | | | | | | | | | | `--' | | | | |\n", "| | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |\n", "| | | | | | | | | | | | | | | | | | | | | | | | | | | `---' | | | |\n", "| | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |\n", "| | | | | | | | | | | | | | | | | | | | | | | | | | | `---' | | |\n", "| | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |\n", "| | | | | | | | | | | | | | | | | | | | | | | | | | | `---' | |\n", "| | | | | | | | | | | | | | | | | | | | | | | | | | | | | |\n", "| | | | | | | | | | `--' | | | | | | | | | | | | | | | `---' |\n", "| | | | | | | | | | | | | | | | | | | | | | | | | | | |\n", "| | | | | | | | | | `----' | | | | | | | | | | | | | | | |\n", "| | | | | | | | | | | | | | | | | | | | | | | | | | |\n", "| | | | | | | | | | `-----' | | | | | | | | | | | | | | |\n", "| | | | | | | | | | | | | | | | | | | | | | | | | |\n", "| | | | | | `--' | | `-----' | | | | | | | | | | | | | |\n", "| | | | | | | | | | | | | | | | | | | | | | | |\n", "| | | `-' | `----' | | | | | `-' | | | `-' | | | |\n", "| | | | | | | | | | | | | | | | | | | |\n", "| | | `---' | | | | | `--' `-' | `---' | | |\n", "| | | | | | | | | | | | | | | |\n", "| | | | | | | | | `------' | | | | |\n", "| | | | | | | | | | | | | | |\n", "| | | | | | | | | `------' | | | |\n", "| | | | | | | | | | | | | |\n", "| | | | `-----' | | | `---------' | `----'\n", "| | | | | | | | | | | \n", "| | `-----' `--------------' | | | | | \n", "| | | | | | | | | \n", "| `-----' | | | | | | \n", "| | | | | | | | \n", "`-----' | | | | | | \n", " | | | | | | | \n", " `--------------------------' | | | | | \n", " | | | | | | \n", " `---------------------------' | | | | \n", " | | | | | \n", " `----------------' | `-------------' \n", " | | | \n", " | `----------------' \n", " | | \n", " `-------------------------------'\n" ] } ], "source": [ "#对g1进行社团划分,并显示结果\n", "h1=Gi_karate.community_fastgreedy(weights=None) # fastgreedy算法社团检测\n", "print h1" ] }, { "cell_type": "code", "execution_count": 171, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[[0, 4, 5, 6, 10, 11, 16, 19], [1, 2, 3, 7, 9, 12, 13, 17, 21], [8, 14, 15, 18, 20, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33]]\n" ] } ], "source": [ "community_list=list(h1.as_clustering()) # 对系统树图进行切割\n", "print community_list" ] }, { "cell_type": "code", "execution_count": 185, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 185, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAeIAAAFBCAYAAACrYazjAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nRK5CYII=\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "pos=nx.spring_layout(Gn_karate)\n", "nx.draw(Gn_karate,pos,with_labels=True, node_size = 500)\n", "\n", "#必须将networkx中的节点编号转换成字符才能和igraph里面的节点对应上\n", "community_list_s=community_list\n", "for i in range(0,len(community_list)): \n", " community_list_s[i]=map(str, community_list[i])\n", "\n", "#将不同社团中的节点绘制成不同的颜色 \n", "nx.draw_networkx_nodes(Gn_karate,pos,nodelist=community_list_s[0],node_size=500, node_color='g', with_labels=True)\n", "nx.draw_networkx_nodes(Gn_karate,pos,nodelist=community_list_s[1], node_size=500, node_color='y', with_labels=True)\n", "nx.draw_networkx_nodes(Gn_karate,pos,nodelist=community_list_s[2], node_size=500, node_color='r', with_labels=True) " ] }, { "cell_type": "code", "execution_count": 198, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1]\n", "0.170529257068\n" ] } ], "source": [ "#计算社团划分对应模块度\n", "membership=[] #新建一个空列表,membership初始化\n", "for i in range(0,len(Gn_karate)):\n", " membership.append(0)\n", "\n", "# 根据社团划分对membership赋值\n", "for i in range(0,len(community_list)):\n", " nodes=map(int, community_list[i])\n", " for j in nodes:\n", " membership[j]=i\n", "print membership \n", "\n", "#根据membership计算模块度\n", "Q_modularity=ig.GraphBase.modularity(Gi_karate, membership)\n", "print Q_modularity " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "$$NMI\\left( {X;Y} \\right){\\rm{ = }}\\frac{{I\\left( {X;Y} \\right)}}{{\\sqrt {H\\left( X \\right)H\\left( Y \\right)} }}$$" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 5.3 基于GN算法算法的社团检测" ] }, { "cell_type": "code", "execution_count": 199, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Dendrogram, 34 elements, 33 merges\n", "\n", "2 28 27 24 25 31 26 14 15 18 20 22 8 30 23 29 32 33 9 0 1 3 13 7 21 19 17 12 11 5 6 16 4 10\n", "| | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |\n", "| | | | | | | | | | | | | | | | `--' | | | | | | | | | | | | | | | |\n", "| | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |\n", "| | | | `--' | | | | | | | | | `---' | | | | | | | | | | | | | | | |\n", "| | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |\n", "`-' | `---' | | | | | | | | `----' | | | `-' | | | | | | | `-' `-'\n", " | | | | | | | | | | | | | | | | | | | | | | | | | \n", " | | | | | | | | | | | | | | `--' | | | | | | `--' | \n", " | | | | | | | | | | | | | | | | | | | | | | | \n", " | | | | | | | | | | | | | `--' | | | | | | | | \n", " | | | | | | | | | | | | | | | | | | | | | | \n", " | | | | | | | | | | `----' | `-------' | | | | | | | \n", " | | | | | | | | | | | | | | | | | | | | \n", " `---' | | | | | | | `---' | `-----' | | | | | | \n", " | | | | | | | | | | | | | | | | | \n", " | | | | | | | `----' | `-----' | | | `------' \n", " | | | | | | | | | | | | | | \n", " | | | | | | `----' | `-----' | | | \n", " | | | | | | | | | | | | \n", " | | | | | `----' | | | | | \n", " | | | | | | | | | | | \n", " `------' | | `----' | | | | | \n", " | | | | | | | | | \n", " | | `----' | `-----' | | \n", " | | | | | | | \n", " | `----' | `-----' | \n", " | | | | | \n", " `------------' | `---------' \n", " | | | \n", " `---------------------------------------' | \n", " | | \n", " `----------------------------------------------'\n" ] } ], "source": [ "h1=Gi_karate.community_edge_betweenness(clusters=None, directed=False, weights=None) # GN算法社团检测\n", "print h1" ] }, { "cell_type": "code", "execution_count": 201, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[[0, 1, 3, 7, 11, 12, 13, 17, 19, 21], [2, 24, 25, 27, 28, 31], [4, 5, 6, 10, 16], [8, 14, 15, 18, 20, 22, 23, 26, 29, 30, 32, 33], [9]]\n" ] } ], "source": [ "community_list=list(h1.as_clustering()) # 对系统树图进行切割,按照Q值最大的标准\n", "print community_list" ] }, { "cell_type": "code", "execution_count": 204, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 204, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAeIAAAFBCAYAAACrYazjAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nGPl/UZLlajkQkrEAAAAASUVORK5CYII=\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "pos=nx.spring_layout(Gn_karate)\n", "nx.draw(Gn_karate,pos,with_labels=True, node_size = 500)\n", "\n", "#必须将networkx中的节点编号转换成字符才能和igraph里面的节点对应上\n", "community_list_s=community_list\n", "for i in range(0,len(community_list)): \n", " community_list_s[i]=map(str, community_list[i])\n", "\n", "#将不同社团中的节点绘制成不同的颜色 \n", "nx.draw_networkx_nodes(Gn_karate,pos,nodelist=community_list_s[0],node_size=500, node_color='g', with_labels=True)\n", "nx.draw_networkx_nodes(Gn_karate,pos,nodelist=community_list_s[1], node_size=500, node_color='y', with_labels=True)\n", "nx.draw_networkx_nodes(Gn_karate,pos,nodelist=community_list_s[2], node_size=500, node_color='r', with_labels=True) \n", "nx.draw_networkx_nodes(Gn_karate,pos,nodelist=community_list_s[3], node_size=500, node_color='b', with_labels=True)\n", "nx.draw_networkx_nodes(Gn_karate,pos,nodelist=community_list_s[4], node_size=500, node_color='k', with_labels=True) " ] }, { "cell_type": "code", "execution_count": 202, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[0, 0, 1, 0, 2, 2, 2, 0, 3, 4, 2, 0, 0, 0, 3, 3, 2, 0, 3, 0, 3, 0, 3, 3, 1, 1, 3, 1, 1, 3, 3, 1, 3, 3]\n", "0.401298487837\n" ] } ], "source": [ "#计算社团划分对应模块度\n", "membership=[] #新建一个空列表,membership初始化\n", "for i in range(0,len(Gn_karate)):\n", " membership.append(0)\n", "\n", "# 根据社团划分对membership赋值\n", "for i in range(0,len(community_list)):\n", " nodes=map(int, community_list[i])\n", " for j in nodes:\n", " membership[j]=i\n", "print membership \n", "\n", "#根据membership计算模块度\n", "Q_modularity=ig.GraphBase.modularity(Gi_karate, membership)\n", "print Q_modularity " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 5.4 基于标签传播算法的社团检测" ] }, { "cell_type": "code", "execution_count": 317, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "the modularity of this network is 0.132807363577\n" ] } ], "source": [ "community_list1=Gi_karate.community_label_propagation(weights=None, initial=None, fixed=None) # GN算法社团检测\n", "print 'the modularity of this network is', community_list1.modularity " ] }, { "cell_type": "code", "execution_count": 318, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[[0, 1, 2, 3, 7, 8, 9, 11, 12, 13, 14, 15, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33], [4, 5, 6, 10, 16]]\n" ] } ], "source": [ "community_list=[]\n", "for item in community_list1:\n", " community_list.append(item)\n", " \n", "print community_list" ] }, { "cell_type": "code", "execution_count": 324, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAeIAAAFBCAYAAACrYazjAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nSUVORK5CYII=\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "pos=nx.spring_layout(Gn_karate)\n", "nx.draw(Gn_karate,pos,with_labels=True, node_size = 500)\n", "\n", "#必须将networkx中的节点编号转换成字符才能和igraph里面的节点对应上\n", "community_list_s=community_list\n", "for i in range(0,len(community_list)): \n", " community_list_s[i]=map(str, community_list[i])\n", "\n", "#将不同社团中的节点绘制成不同的颜色\n", "for i in range(0,len(community_list_s)):\n", " if i%5 == 0:\n", " nx.draw_networkx_nodes(Gn_karate,pos,nodelist=community_list_s[0],node_size=500, node_color='g', with_labels=True)\n", " elif i%5 == 1:\n", " nx.draw_networkx_nodes(Gn_karate,pos,nodelist=community_list_s[1], node_size=500, node_color='y', with_labels=True)\n", " elif i%5 == 2:\n", " nx.draw_networkx_nodes(Gn_karate,pos,nodelist=community_list_s[2], node_size=500, node_color='b', with_labels=True) \n", " elif i%5 == 3:\n", " nx.draw_networkx_nodes(Gn_karate,pos,nodelist=community_list_s[3], node_size=500, node_color='r', with_labels=True) \n", " elif i%5 == 4:\n", " nx.draw_networkx_nodes(Gn_karate,pos,nodelist=community_list_s[4], node_size=500, node_color='m', with_labels=True) \n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 5.5 基于community_leading_eigenvector算法的社团检测" ] }, { "cell_type": "code", "execution_count": 320, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "the modularity of this network is 0.393408941486\n" ] } ], "source": [ "community_list1=Gi_karate.community_leading_eigenvector(clusters=None)\n", "print 'the modularity of this network is', community_list1.modularity " ] }, { "cell_type": "code", "execution_count": 321, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[[0, 4, 5, 6, 10, 11, 16], [8, 9, 14, 15, 18, 20, 22, 26, 29, 30, 32, 33], [1, 2, 3, 7, 12, 13, 17, 19, 21], [23, 24, 25, 27, 28, 31]]\n" ] } ], "source": [ "community_list=[]\n", "for item in community_list1:\n", " community_list.append(item)\n", " \n", "print community_list" ] }, { "cell_type": "code", "execution_count": 325, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAeIAAAFBCAYAAACrYazjAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nRpQQKxQKhUJRjCghVigUCoWiGPl/UICHM/PobykAAAAASUVORK5CYII=\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "pos=nx.spring_layout(Gn_karate)\n", "nx.draw(Gn_karate,pos,with_labels=True, node_size = 500)\n", "\n", "#必须将networkx中的节点编号转换成字符才能和igraph里面的节点对应上\n", "community_list_s=community_list\n", "for i in range(0,len(community_list)): \n", " community_list_s[i]=map(str, community_list[i])\n", "\n", "#将不同社团中的节点绘制成不同的颜色\n", "for i in range(0,len(community_list_s)):\n", " if i%5 == 0:\n", " nx.draw_networkx_nodes(Gn_karate,pos,nodelist=community_list_s[0],node_size=500, node_color='g', with_labels=True)\n", " elif i%5 == 1:\n", " nx.draw_networkx_nodes(Gn_karate,pos,nodelist=community_list_s[1], node_size=500, node_color='y', with_labels=True)\n", " elif i%5 == 2:\n", " nx.draw_networkx_nodes(Gn_karate,pos,nodelist=community_list_s[2], node_size=500, node_color='b', with_labels=True) \n", " elif i%5 == 3:\n", " nx.draw_networkx_nodes(Gn_karate,pos,nodelist=community_list_s[3], node_size=500, node_color='r', with_labels=True) \n", " elif i%5 == 4:\n", " nx.draw_networkx_nodes(Gn_karate,pos,nodelist=community_list_s[4], node_size=500, node_color='m', with_labels=True) \n", " " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 5.5 基于community_multilevel算法的社团检测" ] }, { "cell_type": "code", "execution_count": 338, "metadata": { "collapsed": false }, "outputs": [ { "ename": "AttributeError", "evalue": "'list' object has no attribute 'as_clustering'", "output_type": "error", "traceback": [ "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m", "\u001b[0;31mAttributeError\u001b[0m Traceback (most recent call last)", "\u001b[0;32m\u001b[0m in \u001b[0;36m\u001b[0;34m()\u001b[0m\n\u001b[1;32m 1\u001b[0m \u001b[0mcommunity_list1\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0mGi_karate\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mcommunity_multilevel\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mweights\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0mNone\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mreturn_levels\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0mTrue\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m----> 2\u001b[0;31m \u001b[0mcommunity_list\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0mlist\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mcommunity_list1\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mas_clustering\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m)\u001b[0m \u001b[0;31m# 对系统树图进行切割\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 3\u001b[0m \u001b[0;32mprint\u001b[0m \u001b[0mcommunity_list\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n", "\u001b[0;31mAttributeError\u001b[0m: 'list' object has no attribute 'as_clustering'" ] } ], "source": [ "community_list1=Gi_karate.community_multilevel(weights=None, return_levels=True)\n" ] }, { "cell_type": "code", "execution_count": 329, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[, ]\n" ] } ], "source": [ "community_list=[]\n", "for item in community_list1:\n", " community_list.append(item)\n", " \n", "print community_list" ] }, { "cell_type": "code", "execution_count": 327, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "[,\n", " ]" ] }, "execution_count": 327, "metadata": {}, "output_type": "execute_result" }, { "name": "stdout", "output_type": "stream", "text": [ "\n" ] } ], "source": [ "Gi_karate.community_multilevel(weights=None, return_levels=True)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 5.6 基于community_optimal_modularity算法的社团检测" ] }, { "cell_type": "code", "execution_count": 330, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "the modularity of this network is 0.419789612097\n" ] } ], "source": [ "community_list1=Gi_karate.community_optimal_modularity(weights=None)\n", "print 'the modularity of this network is', community_list1.modularity " ] }, { "cell_type": "code", "execution_count": 331, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[[0, 1, 2, 3, 7, 11, 12, 13, 17, 19, 21], [4, 5, 6, 10, 16], [8, 9, 14, 15, 18, 20, 22, 26, 29, 30, 32, 33], [23, 24, 25, 27, 28, 31]]\n" ] } ], "source": [ "community_list=[]\n", "for item in community_list1:\n", " community_list.append(item)\n", " \n", "print community_list" ] }, { "cell_type": "code", "execution_count": 332, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAeIAAAFBCAYAAACrYazjAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nIo3wFudAAAAAAElFTkSuQmCC\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "pos=nx.spring_layout(Gn_karate)\n", "nx.draw(Gn_karate,pos,with_labels=True, node_size = 500)\n", "\n", "#必须将networkx中的节点编号转换成字符才能和igraph里面的节点对应上\n", "community_list_s=community_list\n", "for i in range(0,len(community_list)): \n", " community_list_s[i]=map(str, community_list[i])\n", "\n", "#将不同社团中的节点绘制成不同的颜色\n", "for i in range(0,len(community_list_s)):\n", " if i%5 == 0:\n", " nx.draw_networkx_nodes(Gn_karate,pos,nodelist=community_list_s[0],node_size=500, node_color='g', with_labels=True)\n", " elif i%5 == 1:\n", " nx.draw_networkx_nodes(Gn_karate,pos,nodelist=community_list_s[1], node_size=500, node_color='y', with_labels=True)\n", " elif i%5 == 2:\n", " nx.draw_networkx_nodes(Gn_karate,pos,nodelist=community_list_s[2], node_size=500, node_color='b', with_labels=True) \n", " elif i%5 == 3:\n", " nx.draw_networkx_nodes(Gn_karate,pos,nodelist=community_list_s[3], node_size=500, node_color='r', with_labels=True) \n", " elif i%5 == 4:\n", " nx.draw_networkx_nodes(Gn_karate,pos,nodelist=community_list_s[4], node_size=500, node_color='m', with_labels=True) \n", " " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 5.7 基于community_walktrap算法的社团检测" ] }, { "cell_type": "code", "execution_count": 340, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Dendrogram, 34 elements, 33 merges\n", "\n", "21 0 6 11 12 3 17 1 13 19 16 7 10 4 5 32 29 2 30 25 24 27 33 8 20 28 26 31 14 15 18 22 9 23\n", "| | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |\n", "`--' | | | | | | | | | | | | | `--' | | | | | `--' | | | | | | | | | |\n", " | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |\n", " `---' | | | | | | | | | | | | | | | `--' | `---' | | | | | | | | |\n", " | | | | | | | | | | | | | | | | | | | | | | | | | | | |\n", " | | `--' `--' | | | | | | | `----' | `----' | | | | | | | | | |\n", " | | | | | | | | | | | | | | | | | | | | | | | |\n", " `---' `----' | | | | | | | | | | | | | | | | | | | |\n", " | | | | | | | | | | | | | | | | | | | | | |\n", " `-------' | | | | | | | `----' `--------' | | | | | | | | |\n", " | | | | | | | | | | | | | | | | | | |\n", " `----------' | | | `--' | `------------' | | | | | | | | |\n", " | | | | | | | | | | | | | | | |\n", " `--------' | | `---' `----------------' | | | | | | | |\n", " | | | | | | | | | | | | |\n", " `-------' | | `-----------' | | | | | | |\n", " | | | | | | | | | | |\n", " | | | `--------' | | | | | |\n", " | | | | | | | | | |\n", " | | | `-------' | | | | |\n", " | | | | | | | | |\n", " | | | `------' | | | |\n", " | | | | | | | |\n", " | | | `------' | | |\n", " | | | | | | |\n", " | | | `------' | |\n", " | | | | | |\n", " | | | `------' |\n", " | | | | |\n", " `------' | `-----'\n", " | | | \n", " `--------' | \n", " | | \n", " `--------------------------------------------------------'\n" ] } ], "source": [ "h1=Gi_karate.community_walktrap(weights=None, steps=1000)\n", "print h1" ] }, { "cell_type": "code", "execution_count": 341, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[[0, 1, 3, 4, 5, 6, 7, 10, 11, 12, 13, 16, 17, 19, 21], [2, 8, 9, 14, 15, 18, 20, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33]]\n" ] } ], "source": [ "community_list=list(h1.as_clustering()) # 对系统树图进行切割,按照Q值最大的标准\n", "print community_list" ] }, { "cell_type": "code", "execution_count": 343, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAeIAAAFBCAYAAACrYazjAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\npSuaW/gAAAAASUVORK5CYII=\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "pos=nx.spring_layout(Gn_karate)\n", "nx.draw(Gn_karate,pos,with_labels=True, node_size = 500)\n", "\n", "#必须将networkx中的节点编号转换成字符才能和igraph里面的节点对应上\n", "community_list_s=community_list\n", "for i in range(0,len(community_list)): \n", " community_list_s[i]=map(str, community_list[i])\n", "\n", "#将不同社团中的节点绘制成不同的颜色\n", "for i in range(0,len(community_list_s)):\n", " if i%5 == 0:\n", " nx.draw_networkx_nodes(Gn_karate,pos,nodelist=community_list_s[0],node_size=500, node_color='g', with_labels=True)\n", " elif i%5 == 1:\n", " nx.draw_networkx_nodes(Gn_karate,pos,nodelist=community_list_s[1], node_size=500, node_color='y', with_labels=True)\n", " elif i%5 == 2:\n", " nx.draw_networkx_nodes(Gn_karate,pos,nodelist=community_list_s[2], node_size=500, node_color='b', with_labels=True) \n", " elif i%5 == 3:\n", " nx.draw_networkx_nodes(Gn_karate,pos,nodelist=community_list_s[3], node_size=500, node_color='r', with_labels=True) \n", " elif i%5 == 4:\n", " nx.draw_networkx_nodes(Gn_karate,pos,nodelist=community_list_s[4], node_size=500, node_color='m', with_labels=True) \n", " " ] }, { "cell_type": "code", "execution_count": 344, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1]\n", "0.359960552268\n" ] } ], "source": [ "#计算社团划分对应模块度\n", "membership=[] #新建一个空列表,membership初始化\n", "for i in range(0,len(Gn_karate)):\n", " membership.append(0)\n", "\n", "# 根据社团划分对membership赋值\n", "for i in range(0,len(community_list)):\n", " nodes=map(int, community_list[i])\n", " for j in nodes:\n", " membership[j]=i\n", "print membership \n", "\n", "#根据membership计算模块度\n", "Q_modularity=ig.GraphBase.modularity(Gi_karate, membership)\n", "print Q_modularity " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 5.8 基于community_spinglass算法的社团检测" ] }, { "cell_type": "code", "execution_count": 346, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "the modularity of this network is 0.418803418803\n" ] } ], "source": [ "community_list1=Gi_karate.community_spinglass(weights=None,spins=25,parupdate=False,start_temp=1,stop_temp=0.01,cool_fact=0.99,update_rule=\"config\",gamma=1,implementation=\"orig\")\n", "print 'the modularity of this network is', community_list1.modularity " ] }, { "cell_type": "code", "execution_count": 347, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[[23, 24, 25, 27, 28, 31], [0, 1, 2, 3, 7, 9, 11, 12, 13, 17, 19, 21], [4, 5, 6, 10, 16], [8, 14, 15, 18, 20, 22, 26, 29, 30, 32, 33]]\n" ] } ], "source": [ "community_list=[]\n", "for item in community_list1:\n", " community_list.append(item)\n", " \n", "print community_list" ] }, { "cell_type": "code", "execution_count": 348, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAeIAAAFBCAYAAACrYazjAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nCrFEIpFIJC5ECrFEIpFIJC7k/wMyK8eaJwzHsQAAAABJRU5ErkJggg==\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "pos=nx.spring_layout(Gn_karate)\n", "nx.draw(Gn_karate,pos,with_labels=True, node_size = 500)\n", "\n", "#必须将networkx中的节点编号转换成字符才能和igraph里面的节点对应上\n", "community_list_s=community_list\n", "for i in range(0,len(community_list)): \n", " community_list_s[i]=map(str, community_list[i])\n", "\n", "#将不同社团中的节点绘制成不同的颜色\n", "for i in range(0,len(community_list_s)):\n", " if i%5 == 0:\n", " nx.draw_networkx_nodes(Gn_karate,pos,nodelist=community_list_s[0],node_size=500, node_color='g', with_labels=True)\n", " elif i%5 == 1:\n", " nx.draw_networkx_nodes(Gn_karate,pos,nodelist=community_list_s[1], node_size=500, node_color='y', with_labels=True)\n", " elif i%5 == 2:\n", " nx.draw_networkx_nodes(Gn_karate,pos,nodelist=community_list_s[2], node_size=500, node_color='b', with_labels=True) \n", " elif i%5 == 3:\n", " nx.draw_networkx_nodes(Gn_karate,pos,nodelist=community_list_s[3], node_size=500, node_color='r', with_labels=True) \n", " elif i%5 == 4:\n", " nx.draw_networkx_nodes(Gn_karate,pos,nodelist=community_list_s[4], node_size=500, node_color='m', with_labels=True) \n", " " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 5.9 基于community_infomap算法的社团检测" ] }, { "cell_type": "code", "execution_count": 349, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "the modularity of this network is 0.402038132807\n" ] } ], "source": [ "community_list1=Gi_karate.community_infomap()\n", "print 'the modularity of this network is', community_list1.modularity " ] }, { "cell_type": "code", "execution_count": 350, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[[8, 14, 15, 18, 20, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33], [0, 1, 2, 3, 7, 9, 11, 12, 13, 17, 19, 21], [4, 5, 6, 10, 16]]\n" ] } ], "source": [ "community_list=[]\n", "for item in community_list1:\n", " community_list.append(item)\n", " \n", "print community_list" ] }, { "cell_type": "code", "execution_count": 351, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAeIAAAFBCAYAAACrYazjAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nICLEgiAIglCA/D8LyEI/8utxkAAAAABJRU5ErkJggg==\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "pos=nx.spring_layout(Gn_karate)\n", "nx.draw(Gn_karate,pos,with_labels=True, node_size = 500)\n", "\n", "#必须将networkx中的节点编号转换成字符才能和igraph里面的节点对应上\n", "community_list_s=community_list\n", "for i in range(0,len(community_list)): \n", " community_list_s[i]=map(str, community_list[i])\n", "\n", "#将不同社团中的节点绘制成不同的颜色\n", "for i in range(0,len(community_list_s)):\n", " if i%5 == 0:\n", " nx.draw_networkx_nodes(Gn_karate,pos,nodelist=community_list_s[0],node_size=500, node_color='g', with_labels=True)\n", " elif i%5 == 1:\n", " nx.draw_networkx_nodes(Gn_karate,pos,nodelist=community_list_s[1], node_size=500, node_color='y', with_labels=True)\n", " elif i%5 == 2:\n", " nx.draw_networkx_nodes(Gn_karate,pos,nodelist=community_list_s[2], node_size=500, node_color='b', with_labels=True) \n", " elif i%5 == 3:\n", " nx.draw_networkx_nodes(Gn_karate,pos,nodelist=community_list_s[3], node_size=500, node_color='r', with_labels=True) \n", " elif i%5 == 4:\n", " nx.draw_networkx_nodes(Gn_karate,pos,nodelist=community_list_s[4], node_size=500, node_color='m', with_labels=True) \n", " " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 5.10 比较不同社交检测算法之间的差别\n", "\n", "(1) compare_communities(comm1, comm2, method='vi', remove_none=False)\n", "Compares two community structures using various distance measures. \t\n", "(2) split_join_distance(comm1, comm2, remove_none=False)\n", "Calculates the split-join distance between two community structures." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 5.11 尚未完成的其他部分(许)\n", "\n", "snap库中进行社团划分的方法\n", "\n", "1)\t对训练集中社交圈子数据的分析,主要包括:\n", "(1)\t每个人的社交圈子数量\n", "(2)\t每个社交圈子的成员数量\n", "(3)\t被分圈好友占所有好友的百分比,每个用户好友数量\n", "(4)\t被分在多个社交圈子的成员次数占所有成员的百分比\n", "(5)\t是否有大圈子中有小圈子的情形(现将圈子分为学校,然后再分出班级来)\n", "(6)\t被分圈成员在网络结构上的偏好性(是不是朋友多的被分圈了)\n", "(7)\t社交圈子和社交网络结构尤其是社团检测算法的契合程度(定性)\n" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "collapsed": true }, "outputs": [], "source": [] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# 6 有向无权网络的统计量分析" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "collapsed": true }, "outputs": [], "source": [] }, { "cell_type": "code", "execution_count": null, "metadata": { "collapsed": true }, "outputs": [], "source": [] }, { "cell_type": "code", "execution_count": null, "metadata": { "collapsed": true }, "outputs": [], "source": [] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 6.1 有向无权网络中节点的几种度" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### 6.1.1 有向网络中节点的入度" ] }, { "cell_type": "code", "execution_count": 112, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAeIAAAFBCAYAAACrYazjAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nAAAAAElFTkSuQmCC\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "G = nx.DiGraph() #生成一个有向网络\n", "G.add_nodes_from([1,2,3,4,5]) #加点集合\n", "G.add_edges_from([(1,2),(2,3),(2,4),(4,5),(5,1)]) #加边集合:边(node1,node2)为一条由node1指向node2的单向有向边\n", "nx.draw(G,with_labels=True, node_size = 800)" ] }, { "cell_type": "code", "execution_count": 113, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "{1: 1, 2: 1, 3: 1, 4: 1, 5: 1}" ] }, "execution_count": 113, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# 获得有向网络中所有节点的入度值\n", "G.in_degree()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# 7 加权网络的统计量分析" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 7.x 加权网络中的最短路径" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### 7.x.1 无向加权网络中的最短路径" ] }, { "cell_type": "code", "execution_count": 117, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAeIAAAFBCAYAAACrYazjAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\nAAALEgAACxIB0t1+/AAAIABJREFUeJzt3XlcVWXix/EPyAW5RGpNUmlTooWCmSZmcl1SRnGZmrKc\nRjRLnRy3JltcanLBX2XaYmUuNaaNidZUZosimKnJJZc0KkVT06YwQysX5CJcvOf3hw2vmrYLcnnu\n8n2/Xr2q6Z7zfHkN8uV5zjnPCbMsy0JERESMCDcdQEREJJSpiEVERAxSEYuIiBikIhYRETFIRSwi\nImKQilhERMQgFbGIiIhBKmIRERGDVMQiIiIGqYhFREQMUhGLiIgYpCIWERExSEUsIiJikIpYRETE\nIBWxiIiIQSpiERERg1TEIiIiBqmIRUREDFIRi4iIGKQiFhERMUhFLCIiYpCKWERExCAVsYiIiEEq\nYhEREYNUxCIiIgapiEVERAxSEYuIiBikIhYRETFIRSwiImKQilhERMQgFbGIiIhBKmIRERGDVMQi\nIiIGqYhFREQMUhGLiIgYpCIWERExSEUsIiJikIpYRETEIBWxiIiIQSpiERERg1TEIiIiBqmIRURE\nDFIRi4iIGKQiFhERMSjCdAARX3G73RQVFVFeXk5kZCRxcXHYbDbTsUREfkRFLEHDsiycTidLFy5k\nS24uO/bvp77NRlR4OGUeD0fdbpKaNKFdx470HzwYh8NBWFiY6dgiEuLCLMuyTIcQOROWZZG5eDGP\nTp5M6aFDDHW5cFgWrYGzfvC5E0A+4AwL43m7neiGDRmbkcGAgQNVyCJijIpYAlphYSHDBgzg661b\nmV5SQire3fjgAdYA42JiuKBtW57LzKRx48a+DSsi8jN0s5YErNzcXNomJtIhL49NJSV0x/tv6HCg\nO7C5pISr8/Jom5iI0+n0XVgRkV+gGbEEpNzcXG5IS2Oxy0VaDZwvGxhot7M8JweHw1EDZxQR8Y6K\nWAJOYWEhbRMTWVRcXCMl/F/ZwKDYWLYWFGiZWkRqjZamJaBYlsXt6emMLi2t0RIGSANGlZYybMAA\n9PupiNQWFbEElMzFiynato0JFRU+Of99FRUc3LqVJZmZPjm/iMj/0tK0BAzLsmjdtCmP7d9Pdx+O\nsxq4Nz6e/L179ViTiPicZsQSMJxOJycPHSLVy8/PBtoBdYEhVRgnFSgtKiIvL6+qEUVEqkxFLAFj\n6cKFDHG5vP6mbQRMBIZWcZxwYIjLxZIFC6p4pIhI1amIJWBsyc3FUYUrKdcD1wHnVGMsh2XxgZ4r\nFpFaoCKWgOB2u9mxfz+ta2m8NsD2fftwu921NKKIhCoVsQSEoqIi6ttsP9o72pfOAurZbBQVFdXS\niCISqlTEEhDKy8uJCq/db9eo8HDKy8trdUwRCT0qYgkIkZGRlHk8tTpmmcdDZGRkrY4pIqFHRSwB\nIS4ujqNuNyeqcMwp4OT3f68Ayr7/Z28UA8fcbuLi4qoWVESkilTEEhBsNhtJTZqQX4VjHgTswHQg\n8/t/fsjLY/OBlvHx2Gy2qgUVEakiFbEEjHYdO+Kswk5Xkzn93uFTP/hrkpfHOsPCSNZbmESkFqiI\nJWD0HzyY5+12fH2l2AMssNtJH1KV/bhERKpHRSwBw+FwEN2wIWt8PM4awB4XR0pKio9HEhFREUuA\nSenRgzsAX22z4QbGxcQwNiNDL3wQkVqhIpaAUFBQQNeuXdm0eTO/a9OGRyIifDLOtIgILkxOJn3A\nAJ+cX0Tkf6mIxa+VlJQwYcIEunTpQr9+/diyZQsvvfkmz0RHk13DY2UDs6OjeS4zU7NhEak1KmLx\nS5ZlsXz5chITEzlw4ACffPIJo0aNok6dOjRu3JhlWVkMtNtrrIyzgYF2O8uysmjUqFENnVVE5LeF\nWVYVXmcjUgv279/P3//+d/bu3cucOXPo2rXrz37O6XTSt1cvRpWWcl9FBdV54tcNPBwRwZzoaJZl\nZeHQI0siUss0Ixa/UVZWxkMPPUS7du1wOBx89NFHv1jCcPou6q0FBWxMSeGqmBhWg9ePNnmA1cBV\nMTFs+v48KmERMUEzYvELa9asYeTIkbRo0YInn3ySSy65xOtjLctiSWYmMyZPprSoiCEuFw7Log38\n6G1NJ4APOb1ZxwK7naOnTnHDLbcw79lndU1YRIxREYtRBw8e5J577uH999/n6aef5tprr632uSzL\nIi8vjyULFvCB08n2ffuoZ7MRFR5OmcfDMbeblvHxJDscpA8Zgsfj4dZbb+XTTz/VVpYiYoyKWIyo\nqKhgzpw5/N///R/Dhg3jH//4B3a7vUbHcLvdFBUVUV5eTmRkJHFxcT8p3LS0NG688UaGDRtWo2OL\niHhLRSy1buPGjYwYMYJzzjmH2bNn07x5c2NZNm3aRL9+/dizZw9RUVHGcohI6NLNWlJrvv32W4YN\nG8aNN97IuHHjeOedd4yWMED79u1p1aoV8+fPN5pDREKXilh8zuPxsHDhQpKSkqhbty4FBQX079/f\nb26Qmjp1KtOmTaO0tNR0FBEJQVqaFp/6+OOPGTlyJG63m7lz53LllVeajvSz+vbtS6dOnbjrrrtM\nRxGREKMiFp8oLi5mypQpvPjiizz44IP89a9/JTzcfxdgPv74Y9LS0ti7dy8xMTGm44hICPHfn4wS\nkCzL4pVXXiExMZEjR46wY8cOhg0b5tclDNCqVSs6d+7M7NmzTUcRkRCjGbHUmD179jB69Gi++uor\n5s6dS8eOHU1HqpKdO3dyzTXXsHfvXmJjY03HEZEQ4d/TFAkIJ0+eZMqUKXTo0IEePXqwbdu2gCth\ngBYtWtCjRw+eeuop01FEJIRoRixnZNWqVYwePZo2bdowc+ZMGjdubDrSGdmzZw8pKSns2bOH+vXr\nm44jIiFARSzV8uWXX3LXXXeRn5/PM888Q8+ePU1HqjFDhgyhcePGTJ061XQUEQkBWpqWKnG73Tz2\n2GO0adOGli1bsn379qAqYYCJEycyZ84cvv32W9NRRCQEaEYsXsvNzWXEiBE0atSIWbNmcemll5qO\n5DPDhw+nQYMGTJs2zXQUEQlyKmL5TYcPH67cknLmzJnceOONfrMrlq98+eWXtG7dmp07d9KwYUPT\ncUQkiGlpWn6Rx+Ph2WefJSkpiXPPPZeCggJuuummoC9hgIsuuoj09HSmT59uOoqIBDnNiOVnbdu2\njREjRmCz2Zg7dy6XX3656Ui17uDBg5XXwS+44ALTcUQkSGlGLD9y7Ngx/v73v9O7d2+GDx/Oe++9\nF5IlDHDBBRdw22236TqxiPiUiliA01tTLlmyhBYtWlBWVsaOHTsYPHiw329N6Wvjx48nMzOTL7/8\n0nQUEQlSWpoWdu3axahRo/juu++YO3cuV199telIfmXChAkcPXqUefPmmY4iIkFIRRzCXC4XDz30\nEM899xwTJ05k5MiRREREmI7ld7799lsSEhLYsmULTZo0MR1HRIJMaK87hrC33nqLpKQk9u/fz8cf\nf8zf//53lfAvOPfccxk5ciQPPvig6SgiEoQ0Iw4xn3/+OXfeeSeffvops2fPJjU11XSkgHD06FEu\nvfRS3n//fZo1a2Y6jogEEc2IQ0R5eTnTpk0jOTmZq666io8++kglXAX169fnzjvvJCMjw3QUEQky\nmhGHgLVr1zJy5EiaNm3KrFmzdJ2zmo4fP06zZs1Yv349LVq0MB1HRIKEijiIff3119x7771s2LCB\np59+muuuuy4kdsXypenTp/Phhx/y0ksvmY4iIkFCS9NB6NSpUzzzzDNcfvnlXHTRRRQUFPCnP/1J\nJVwDRo8ezfr16/nkk09MRxGRIKEZcZDZvHkzI0aM4Oyzz2b27NkkJiaajhR0Zs6cyYYNG1i2bJnp\nKCISBFTEQeLIkSPcf//9vPHGG8yYMYMBAwZoBuwjpaWlNGvWjLfeeosrr7zSdBwRCXBamg5wlmXx\nr3/9i8TEROrUqUNBQQEDBw5UCftQdHQ09913H5MmTTIdRUSCgGbEAWz79u2MHDmS0tJS5s6dS3Jy\nsulIIaOsrIxLL72UV155hfbt25uOIyIBTDPiAHTixAnGjh1Lt27dSE9PZ+PGjSrhWhYVFcUDDzyg\nWbGInDEVcQCxLItly5aRmJjIoUOH+OSTTxg+fDh16tQxHS0k3XbbbezevZvc3FzTUUQkgGlpOkB8\n9tln3HHHHfznP/9hzpw5dOnSxXQkARYuXMiiRYtYu3at6SgiEqA0I/ZzJ0+eZOrUqbRv356uXbuS\nn5+vEvYjt9xyCwcOHFARi0i1qYj9WE5ODq1ateKjjz5i27ZtjB07FpvNZjqW/EBERASTJ09m4sSJ\naHFJRKpDS9N+6MCBA9x9991s2bKFZ555ht69e5uOJL/i1KlTXH755cycOZO0tDTTcUQkwGhG7Ecq\nKiqYOXMmV1xxBQkJCezYsUMlHADq1KnDlClTNCsWkWpREfsJp9NJ27ZtWblyJXl5eUydOpXo6GjT\nscRLN910E2VlZbz99tumo4hIgNHStGHffPMN48ePJzs7myeeeIJ+/fppV6wAtXz5cjIyMti2bZv+\nPxQRr2lG/CvcbjeFhYXs27ePwsJC3G53jZ3b4/Ewf/58kpKSOPvssykoKODPf/6zfoAHsD/96U+E\nh4fz+uuvm44iIgFEM+IfsCwLp9PJ0oUL2ZKby479+6lvsxEVHk6Zx8NRt5ukJk1o17Ej/QcPxuFw\nVKs48/PzGTFiBGFhYcyZM4fWrVv74KsRE1asWMGECRP46KOPCA/X77ki8ttUxJwu4MzFi3l08mRK\nDx1iqMuFw7JoDZz1g8+dAPIBZ1gYz9vtRDdsyNiMDAZ4+ZKF48ePM2nSJJYuXcrDDz/M4MGD9cM6\nyFiWRYcOHRgzZgx/+ctfTMcRkQAQ8kVcWFjIsAED+HrrVqaXlJCKd+v1HmANMC4mhgvatuW5zEwa\nN278s5+1LIt///vf3HPPPfTs2ZNHHnmE3/3udzX4VYg/Wb16NXfccQc7duzQ9qMi8ptCuohzc3O5\nsXdvRpeWMqGigupsleEGpkVEMDs6mmVZWTgcjh/99927dzNq1CgOHTrE3LlzSUlJqZHs4r8sy6JL\nly7cfvvt3HLLLabjiIifC9kizs3N5Ya0NBa7XNTEFgzZwEC7neU5OTgcDkpLS3n44YeZO3cuDzzw\nAKNHjyYiIqIGRpJAsH79eoYOHcrOnTu1G5qI/KqQvEBZWFjIjb1711gJA6QBi10u+vbqxb/+9S+S\nkpLYs2cPH330EWPGjFEJh5guXbpw8cUXs2jRItNRRMTPhdyM2LIsenfpQsr77zOxoqLGzz8pLIw5\nUVEseeMNevToUePnl8CRl5dHeno6u3fvJjIy0nQcEfFTITcjzly8mKJt25jggxIGmGhZXBQezuFD\nh3xyfgkcKSkptGjRggULFpiOIiJ+LKRmxJZl0bppUx7bv5/uPhxnNXBvfDz5e/dqg44Qt2XLFvr2\n7cuePXuoW7eu6Tgi4odCakbsdDo5eegQqV5+/hogGjgbiAVaeHlcKlBaVEReXl7VQ0pQadeuHW3a\ntOG5554zHUVE/FRIFfHShQsZ4nJ5/UWHAXOA40AxsNPL48KBIS4XS7QkKcDUqVN55JFHcLlcpqOI\niB8KqSLekpuLo4or8dVdt3dYFh84ndU8WoJJ69atSUlJYc6cOaajiIgfCplrxG63m/oxMRS53T/a\ntvLXdAUKOF3GCcCDQBcvjz0BxNlsHC0p0XOkwvbt20lNTeWzzz7jrLO8/Q4UkVAQMjPioqIi6tts\nXpcwwAxgH3AAuB24Ftjv5bFnAfVsNoqKiqoWVIJSy5Yt6datG7NmzTIdRUT8TMgUcXl5OVFVfMFC\nOyAGsAGDAAewsgrHR4WHU15eXqUxJXhNmTKFmTNncuzYMdNRRMSPhEwRR0ZGUubxnNE5wqjaNeMy\nj0cbOUilhIQEevXqxZNPPmk6ioj4EV0j/gXHgE2cviYcAbwEDAc+BJp5cXwxcL6uEcv/+Oyzz2jf\nvj179uyhQYMGpuOIiB8ImRmxzWYjqUkT8r38vBt4AGgInAfMBt7AuxKG0+8tbhkfrxKWH2natCk3\n3HADjz/+uOkoIuInQqaIAdp17IjTy52ufgds5vTM+DsgD+hWhbGcYWEk/88rEUUAHnjgAebOncs3\n33xjOoqI+IGQKuL+gwfzvN3OmV0p/m0eYIHdTvqQIT4eSQLRxRdfzM0338yMGTNMRxERPxAy14ih\ndveaHhsfz4faa1p+wYEDB2jVqhU7duzg/PPPNx1HRAwKqRlxWFgYYzMyGB8Tg9tHY7iBcTExjM3I\nUAnLL2rUqBG33HIL06dPNx1FRAwLqRkxnJ4V97nmGjrk5fnkfcRTIyLY5HDw9tq1KmL5VV9//TVJ\nSUl8/PHHNGrUyHQcETEk5IoYoLCwkLaJiSwqLiatBs+bDQyKjWXbzp36wSpeGTt2LC6Xi9mzZ5uO\nIiKGhGQRw+lXIl7foweLXa4aKeNsYKDdzvKcHBy6W1q8dPjwYZo3b862bdu4+OKLTccREQNC6hrx\nDzkcDpbn5DAoNpapERHVvmbsBqZERDAoNlYlLFV23nnnMXz4cB566CHTUUTEkJCdEf9XYWEhwwYM\n4ODWrcwoKSEV73478QBrgNFhYdRr0YJl2dk0btzYt2ElKH333XdcdtllbN68mfj4eNNxRKSWhXwR\nw+kbuJZkZjJj8mRKi4oY4nLhsCzawI+2wzzB6S0unWFhLLDbiY6Lo3e/frz8739TUFBA3bp1zXwB\nEvCmTJnC559/zgsvvGA6iojUMhXxD1iWRV5eHksWLOADp5Pt+/ZRz2YjKjycMo+HY243LePjSXY4\nSB8yhJSUFMLCwrj++uu5+uqrmTBhgukvQQLUsWPHaNasGbm5uSQkJJiOIyK1SEX8K9xuN0VFRZSX\nlxMZGUlcXNzP7h29d+9e2rdvz/bt27ngggsMJJVg8PDDD7N9+3aWLFliOoqI1CIVcQ0ZP348hw4d\nYuHChaajSIAqLi6mWbNmvPvuuyQlJZmOIyK1REVcQ44fP07z5s154403aNeunek4EqAeffRRNm/e\nzCuvvGI6iojUEhVxDVqwYAHz58/H6XRqVy2pFpfLRbNmzVi5ciWtW7c2HUdEakHIPkfsC7fddhvl\n5eUsXbrUdBQJUHa7nfHjxzN58mTTUUSklmhGXMOcTid/+ctf2LVrFzExMabjSAA6efIkzZo1Y/ny\n5SQnJ5uOIyI+phlxDXM4HHTs2FHvmpVqq1u3Lvfffz+TJk0yHUVEaoFmxD7wxRdf0KZNG+0fLNVW\nVlbGZZddxksvvUSHDh1MxxERH1IR+8iUKVPYuXMnL7/8sukoEqDmz5/PSy+9xDvvvGM6ioj4kIrY\nR1wuF82bNyczM5NOnTqZjiMByO1206JFC55//nm6dOliOo6I+IiuEfuI3W5nxowZ3HnnnZw6dcp0\nHAlANpuNSZMmMWnSJPT7skjwUhH70M0334zdbtduW1Jt6enpfP3116xZs8Z0FBHxES1N+9jWrVv5\n4x//yK5du6hXr57pOBKAli5dytNPP01eXp42ihEJQpoR+1jbtm3p3bs3Dz74oOkoEqBuvvlmiouL\nycrKMh1FRHxAM+Ja8PXXX9OyZUvef/99Lr30UtNxJAC99tprTJs2jS1btmhWLBJkNCOuBeeffz7j\nxo3jnnvuMR1FAtQNN9xARUUFb775pukoIlLDVMS15M4776SgoICcnBzTUSQAhYeHM3XqVCZNmoTH\n4zEdR0RqkIq4lkRFRfH4449z11134Xa7TceRAHTttdcSFRXFa6+9ZjqKiNQgFXEtuu6667jwwguZ\nN2+e6SgSgMLCwpg6dSqTJ0/Ws+kiQUQ3a9Wy7du3061bN3bu3Mm5555rOo4EGMuycDgcjB49mvT0\n9B/9N7fbTVFREeXl5URGRhIXF4fNZjOUVES8pSI2YPTo0QA888wzhpNIIFqzZg0jRoxgx44dbNq0\niaULF7IlN5cd+/dT32YjKjycMo+Ho243SU2a0K5jR/oPHozD4dAd1yJ+SEVswLfffkuLFi149913\nadmypek4EmA8Hg9JiYmUffcdES4XQ10uHJZFa+CsH3zuBJAPOMPCeN5uJ7phQ8ZmZDBg4EAVsogf\nUREbMmvWLN544w1Wr16tH4ritcLCQoYNGMCBzZt57ORJUvHuRg8PsAYYFxPDBW3b8lxmJo0bN/Zt\nWBHxim7WMmT48OEcPHhQz4WK13Jzc2mbmEiHvDw+OHmS7nj/Bzgc6A5sLinh6rw82iYm4nQ6fRdW\nRLymGbFBq1evrrzWFxUVZTqO+LHc3FxuSEtjsctFWg2cLxsYaLezPCcHh8NRA2cUkepSERt23XXX\n0bFjR8aNG2c6ivipwsJC2iYmsqi4uEZK+L+ygUGxsWwtKNAytYhBKmLD9uzZQ4cOHdi+fTvnn3++\n6TjiZyzLoneXLqS8/z4TKypq/PxTIyLYmJLCinXrdK+CiCG6RmzYpZdeyuDBg7n//vtNRxE/lLl4\nMUXbtjHBByUMcF9FBQe3bmVJZqZPzi8iv00zYj9w7NgxmjdvzltvvUVycrLpOOInLMuiddOmPLZ/\nP919OM5q4N74ePL37tWsWMQAzYj9QL169XjwwQcZM2YM+r1I/svpdHLy0CFSvfhsOfBX4BKgHnAl\nsMrLcVKB0qIi8vLyqpVTRM6MithP3HbbbbhcLl5++WXTUcRPLF24kCEul1d/SCuA3wMbgGPA/wF/\nBr7w4thwYIjLxZIFC6qdVUSqT0XsJ+rUqcNTTz3FuHHjcLlcpuOIH9iSm4vDyxUSOzAJuOj7f+8D\nNAG2ejmWw7L4QM8Vixiha8R+5i9/+QvNmzdnypQppqOIQW63m/oxMRS53T/attJbRZwu4nzgMi8+\nfwKIs9k4WlKiF0WI1DLNiP3MjBkzmDVrFl984c2iogSroqIi6tts1SrhCmAgcBvelTCc3qO6ns1G\nUVFRNUYUkTOhIvYzv//97xk9ejTjx483HUUMKi8vJyq86n88LU6XcBQwq4rHRoWHU15eXuUxReTM\nqIj90Lhx48jNzSU3N9d0FDEkMjKSMo+nyscNBb4BlgF1qnhsmcdDZGRklccUkTOjIvZDMTExTJ8+\nnTvvvBNPNX4YS+CLi4vjqNvNiSocMxzYBbwJVLVOi4FjbjdxcXFVPFJEzpSK2E/179+funXr8sIL\nL5iOIgbYbDaSmjQh38vPfwE8x+mbs+KAWOBsYKmXx+cDzS++WDdqiRigIvZTYWFhPPnkkzzwwAMc\nP37cdBwxoF3Hjji93Onq95x+57CL07PbYuA40N/LsTYAu//zH9q1a8eUKVPYsmWLVmNEaokeX/Jz\ngwcPpmHDhkyfPt10FKllubm5DOnZk10lJT79jdkDNI+J4bm338bj8bBixQpWrFjB0aNH6dWrF336\n9KFHjx6cffbZPkwhErpUxH7u4MGDXH755WzcuJFmzZqZjiO1qDb3mh4bH8+H/7PX9GeffVZZynl5\nebRr144+ffrQp08fEhIStC+1SA1REQeARx55hI0bN7J8+XLTUaSWLX7xRZ4YMYJNJSX44uqtG7gq\nJoZ7581jwMCBv/i5EydO8O6771YWc1RUVGUpd+nShbp16/ognUhoUBEHgJMnT5KUlMS8efPo3t2X\ncyPxN5Zl0eeaa+iQl+ez9xFvcjh4e+1ar2e4lmXx8ccfV5by9u3bueaaayqLuVGjRjWeUySYqYgD\nxOuvv87EiRPJz88nIiLCdBypRYWFhbRNTGRRcTFpNXjebGBQbCzbdu48o/L89ttvWbVqFStWrCA7\nO5uLLrqospTbt29PnTpVfaJZJLSoiAOEZVn84Q9/oG/fvowaNcp0HKllq1evpm/Pnrzq8dRIGWcD\nA+12lufk4HA4auCMp1VUVLBx48bK2fJXX31Fz5496dOnD2lpaZxzzjk1NpZIsFARB5BPPvmE1NRU\ndu3apR9oIeTkyZP06dMHu93O5vXrGVVayn0VFdW6ZuwGHo6IYE50NMuysmq0hH/OF198wcqVK1mx\nYgXr16/niiuuqJwtt2zZUjd8iaAiDjgjR44kIiKCp59+2nQUqQUVFRX069cPm83G0qVLOXjwIMMG\nDODg1q3MKCkhFe82A/AAa4BxMTFckJzMc4sX07hxY9+G/x+lpaWsW7eucrZ86tSpylLu1q0bdru9\nVvOI+AsVcYD55ptvaNGiBevWrSMpKcl0HPEhj8fD0KFD+eqrr3jzzTeJiooCTl+mWJKZyYzJkykt\nKmKIy4XDsmgDP3pb0wngQ8AZFsYCu53ouDjGZWSQPmCA8ZmoZVns3LmzspS3bt1Kp06dKov5kksu\nMZpPpDapiAPQ008/zdtvv012drbxH6jiG5Zlcc8997Bx40ZWr15NTEzMz34mLy+PJQsW8IHTyfZ9\n+6hnsxEVHk6Zx8Mxt5uW8fEkOxykDxlCSkqK336/HD16lJycHFasWEFWVhbnnXdeZSmnpKRo600J\nairiAOR2u7niiiuYPn061157rek44gMPPvgg//73v1m/fj0NGjTw6hi3201RURHl5eVERkYSFxcX\nkAXm8XjYsmVL5Wx537599OjRgz59+tCrVy/OO+880xFFapSKOEBlZ2czevRotm/fXrlkKcFh9uzZ\nzJw5kw0bNnDBBReYjmPcwYMHK2/4WrNmDS1atKicLbdu3Zrwary3WcSfqIgD2B//+Ee6dOnC2LFj\nTUeRGpKZmcn48ePZsGEDTZo0MR3H75SVlbFhw4bK2fKJEycq98Pu3r07sbGxpiOKVJmKOIDt3r2b\nlJQUduzYoffIBoG33nqL22+/nTVr1uhGPC/t2bOnspQ3btxI+/btK2fLl112mel4Il5REQe4e++9\nl6NHjzJ//nzTUeQMrF+/nptuuokVK1Zw1VVXmY4TkIqLi3nnnXdYsWIFK1euJCYmprKUO3furEs4\n4rdUxAHu2LFjJCQksHLlSq688krTcaQatm3bRs+ePVm6dCmpqamm4wQFy7LIz8+vnC0XFBTQrVs3\n+vTpQ+/Qi+giAAATqklEQVTevbnwwgtNRxSppCIOAv/85z9ZtGgR7733nt8+niI/b9euXXTt2pU5\nc+Zwww03mI4TtA4fPly5H3ZOTg6XXHJJ5Wy5Xbt22g9bjFIRB4FTp06RnJzMhAkTuPnmm03HES99\n8cUXdOrUiYyMDG677TbTcUJGRUUFeXl5lbPlQ4cO/Wg/7Pr165uOKCFGRRwk3nvvPW655RZ27typ\nrQIDwKFDh+jUqRMjRoxgzJgxpuOEtM8//7zy8agNGzbQpk2bytlyYmKiVpnE51TEQeTPf/4zLVu2\nZNKkSaajyK84duwYXbt25Y9//CNTp041HUd+wOVysXbt2srZclhYWGUpd+3alejoaNMRJQipiIPI\n559/Ttu2bcnPz+eiiy4yHUd+hsvlomfPnrRq1YpZs2ZptuXHLMtix44dlaWcn59P586dK4v597//\nvemIVRIsO68FIxVxkJk4cSL79u0jMzPTdBT5H263m+uvv54GDRqwaNEi7QgVYI4cOUJ2djYrVqxg\n1apVnH/++ZWl3KFDByIiIkxH/BHLsnA6nSxduJAtubns2L+f+j/Yi/yo201Skya069iR/oMH43A4\n9IuhISriIFNSUkLz5s156aWXfP6uWfGex+Nh4MCBFBcXs2zZMs1EAtypU6fYvHlz5Wz5iy++qNwP\nu2fPnvzud78zls2yLDIXL+bRyZMpPXSIod+/nas1P307Vz6n3871vN1OdMOGjM3IYMDAgSrkWqYi\nDkKLFy/mySefZPPmzZp1+QHLsir3BV+1apWuMwahAwcOVN7wtXbtWpKSkipny1dccUWtFVthYSHD\nBgzg661bmV7d91W3bctzmZm1/r7qUKYiDkIejweHw8Hf/vY3PRbjBx544AGysrJ49913qVevnuk4\n4mNlZWWsX7++crZ88uRJevfuTZ8+fUhNTeWss8767ZNUQ25uLjf27s3o0lImVFRQnTUXNzAtIoLZ\n0dEsy8rSqlotUREHqc2bN3P99dfz6aefaiN8gx5//HH++c9/smHDBr2+LwRZlsXu3bsrS3nz5s10\n6NChcrbcrFmzGhknNzeXG9LSWOxykVYD58sGBtrtLM/JURnXAhVxELv11lu58MILmTZtmukoIWnB\nggVMnTqVDRs26C52AeD48eOsXr26cj/sevXqVZZyp06diIyMrPI5CwsLaZuYyKLi4hop4f/KBgbF\nxrK1oEDL1D6mIg5iX331Fa1atWLTpk00bdrUdJyQsmzZMkaNGsW6detISEgwHUf8kMfjYdu2bZWz\n5d27d5Oamlq5H/b555//m+ewLIveXbqQ8v77TKyoqPGMUyMi2JiSwop163QDlw+piIPcww8/zJYt\nW3j99ddNRwkZ77zzDunp6axatUov4hCvFRUVVe6HvXr1apo2bVo5W05OTv7ZGy8Xv/giT4wYwaaS\nkmpdE/4tbuCqmBjunTePAQMH+mAEARVx0Dt58iQtWrRg/vz5erNPLdi4cSPXXnstr732Gp07dzYd\nRwKU2+3G6XRWzpa//fZbevXqRZ8+fejRowf16tXDsixaN23KY/v3092HWVYD98bHk793r2bFPqIi\nDgHLli1j8uTJfPjhh3636UAw2b59O6mpqSxYsIA+ffqYjiNBZN++fZWPR+Xm5pKcnExiYiI5L7zA\npy6XV48o3QK8A5QC5wNjgaFeHOcBmsfEsDA7Wzdu+YiKOARYlkW3bt3o168fI0eONB0nKO3bt4/O\nnTvz6KOP0r9/f9NxJIiVlJTw7rvvMnHsWG7+9FPu8/K4AiAeqAvsBroAK4E2Xhz7SFgYXw4ezOzn\nn69eaPlV2u0hBISFhfHkk0+SkZHBd999ZzpO0Pnqq6/o3r07//jHP1TC4nMxMTFce+21RFoWnapw\nXCKnSxjAAsKAz7w81mFZfOB0ViWmVIFmxCFkxIgRREZG8tRTT5mOEjS+++47unTpQv/+/bn//vtN\nx5EQ4Xa7qR8TQ5HbTVW2BxkFvMDp5ekrgfcAb16aegKIs9k4WlKi7Vl9QEUcQg4fPkxiYiLr168n\nMTHRdJyAd+LECbp3747D4eDRRx/VjSxSawoLC2mfkMABl6vKx1rA+8A6YDxQx8vjLrTb2fzpp3qm\n2Ae0NB1CzjvvPP7xj39w1113od+/zkxZWRl9+/YlMTFRJSy1rry8nKhq7iMfBqQAXwJzq3BcVHg4\n5eXl1RpTfp2KOMSMGjWK//znP6xYscJ0lIBVUVFBeno6sbGxPPvssyphqXWRkZGUeTxndI4KvL9G\nDFDm8VRr5y/5bSriEGOz2Zg5cyZ33323frutBsuy+Nvf/sbx48dZsmSJHgcTI+Li4jjqdnPCy88f\nBl4GSjj9OFI28BLwBy+PLwaOud3ExcVVOav8NhVxCOrVqxeXXnops2bNMh0loFiWxdixY9mxYwev\nv/46UVFRpiNJiLLZbCQ1aUK+l58P4/Qy9EXAOcA44CnA26fd84GW8fG6UctHVMQh6oknnmDatGkc\nOnTIdJSAMW3aNLKzs1m5cqXPXmUn4q12HTvi9PKyyO84fXPWd8BR4CNgSBXGcoaFkazNPHxGRRyi\nEhISGDRoEA888IDpKAFh7ty5PP/882RnZ3POOeeYjiNC/8GDed5u58yuFP82D7DAbid9SFWqW6pC\njy+FsKNHj9K8eXOysrJo08ab/XVC09KlSxk7dizvvfce8fHxpuOIANTqXtNj4+P5UHtN+4xmxCGs\nfv36ZGRkMGbMGD3O9AtWrlzJmDFjWLVqlUpY/EpYWBhjMzIYHxOD20djuIFxMTGMzchQCfuQijjE\n/fWvf+Xo0aO8+uqrpqP4nQ0bNnDrrbfyxhtv0LJlS9NxRH5iwMCBnN+2LY/46O79aRERXJicTPqA\nAT45v5ympWlh3bp13HbbbezcuZPo6GjTcfzChx9+SFpaGpmZmXTv7suFP5EzU1hYSNvERBYVF5NW\ng+fNBgbFxrJt504aNWpUg2eW/6UZsXDNNdeQnJzM448/bjqKX9i9eze9e/dm3rx5KmHxe40bN2ZZ\nVhYD7Xaya+ic2cBAu51lWVkq4VqgGbEAsH//fpKTk/noo49Cei/ZL7/8kk6dOjFp0iSG6C5RCSBO\np5O+vXoxqrSU+yoqqM4Tv27g4YgI5kRHsywrS+8friWaEQsATZo0Yfjw4UyYMMF0FGMOHz5M9+7d\nueOOO1TCEnAcDgdbCwrYmJLCVTExrAavH23ycPru6KtiYtj0/XlUwrVHM2KpdOLECRISEnj11Vfp\n0KGD6Ti16vjx43Tt2pWePXvy0EMPmY4jUm2WZbEkM5MZkydTWlTEEJcLh2XRBn70ysQTwIec3qxj\ngd1OdFwc4zIySB8wQHdI1zIVsfzIiy++yKxZs9i4cSPh1Xy7S6ApLS2lV69eJCYmMnv2bP0QkqBg\nWRZ5eXksWbCAD5xOtu/bRz2bjajwcMo8Ho653bSMjyfZ4SB9yBBSUlL0vW+Iilh+xOPx0KFDB0aN\nGsWgQYNMx/E5t9tN3759iY2NZfHixSHzy4eEHrfbTVFREeXl5URGRhIXF6e9o/2Eilh+YuPGjdx4\n443s2rWL2NhY03F8xuPxMGjQII4cOcLy5cv1Q0lEjNCv//ITV199NampqUybNs10FJ+xLIs777yT\nL774gldeeUUlLCLGaEYsP+vAgQO0atWKLVu2BOXWjpMnT+bNN99k3bp11KtXz3QcEQlhmhHLz2rU\nqBF33303Y8eONR2lxj355JO89NJLZGdnq4RFxDjNiOUXlZaW0qJFCxYuXEjXrl1Nx6kRL7zwApMm\nTWLDhg1cfPHFpuOIiGhGLL8sOjqaxx57jDFjxlBRUWE6zhlbvnw59913Hzk5OSphEfEbKmL5VTfe\neCMNGjRg/vz5pqOckTVr1jBs2DDefvttmjdvbjqOiEglLU3Lb8rPzyctLY1du3bRoEED03GqbPPm\nzfTp04dXX32VLl26mI4jIvIjKmLxyt/+9jfsdjszZ840HaVKduzYQbdu3Zg/fz7XXnut6TgiIj+h\nIhavHD58mMTERDZs2BAwS7v79++nc+fOTJs2jYEDB5qOIyLys3SNWLxy3nnncd9993H33XebjuKV\ngwcP0r17d8aPH68SFhG/piIWr40ePZrPPvuMlStXmo7yq44cOUJaWhq33noro0ePNh1HRORXaWla\nqmTFihXcfffdfPLJJ0RGRpqO8xMlJSV0796d9u3b88QTT+htMiLi9zQjlirp3bs38fHxzJ4923SU\nnygrK6Nv374kJCTw+OOPq4RFJCBoRixVtnPnTjp37kxBQQHnnXee6TgAnDp1iv79++N2u3nllVeI\niIgwHUlExCsqYqmWMWPGcPLkSebNm2c6CpZlMWzYMPbt28eKFSuoW7eu6UgiIl5TEUu1HDlyhObN\nm5OdnU3r1q2NZhk/fjxr165lzZo1Qf3+ZBEJTrpGLNXSoEEDMjIyGDNmDCZ/l5s+fTpvv/02WVlZ\nKmERCUgqYqm2v/71r3z33XcsW7bMyPjPPvsszz77LDk5OZx77rlGMoiInCktTcsZeffddxk6dCgF\nBQVER0fX2rgvv/wyd999N+vXr6dZs2a1Nq6ISE3TjFjOSLdu3WjTpg1PPPFErY25atUq7rjjDrKy\nslTCIhLwNCOWM7Zv3z7atWvHxx9/TKNGjXw6ltPp5Prrr+eNN94gJSXFp2OJiNQGFbHUiPvvv5/C\nwkIWLVrkszHy8/Pp0aMHL774ImlpaT4bR0SkNqmIpUYUFxfTvHlzXnvtNa6++uoaP/+ePXvo0qUL\nTz31FP369avx84uImKIilhrzr3/9i7lz55KXl0d4+E9vP3C73RQVFVFeXk5kZCRxcXHYbLbfPG9h\nYSGdOnXi/vvv5/bbb/dFdBERY3SzltSYW265BY/HQ2ZmJnB6x6vc3FxGDR3KVQkJ1I+JoX1CAn+4\n4graf//vVyUkMGroUHJzc3/2eeRvvvmGHj16MHLkSJWwiAQlzYilRr3//vvcdNNNZEyZwqxp0yg9\ndIihLhcOy6I1cNYPPnsCyAecYWE8b7cT3bAhYzMyGDBwIGFhYRw/fpzU1FT+8Ic/MG3aNDNfkIiI\nj6mIpUYVFhbSqW1bYo4cYabbTSreLbt4gDXAuJgYLmjblqeff57bb7+dyy67jHnz5ulNSiIStFTE\nUmNyc3O5sXdvRpWWcl9FBb999fen3MDDERE8DrTr3JmcnBzq1KlTw0lFRPyHilhqRG5uLjekpbHY\n5aImHizKBgba7SzPycHhcNTAGUVE/JOKWM5YYWEhbRMTWVRcXCMl/F/ZwKDYWLYWFNC4ceMaPLOI\niP/QXdNyRizL4vb0dEaXltZoCQOkAaNKSxk2YIDRNzyJiPiSiljOSObixRRt28aEigqfnP++igoO\nbt3Kku8fiRIRCTZampZqsyyL1k2b8tj+/XT34TirgXvj48nfu1d3T4tI0NGMWKrN6XRy8tAhUqt4\n3B4gGhjk5edTgdKiIvLy8qo4koiI/1MRS7UtXbiQIS5Xlb+JRgNXVeHz4cAQl4slCxZUcSQREf+n\nIpZq25Kbi6OKVzZeAhpAlWfRDsviA6ezikeJiPg/XSOWanG73dSPiaHI7f7RtpW/5jjQDlgL/BP4\nDPD2pYkngDibjaMlJV69KEJEJFBoRizVUlRURH2bzesSBpgE3A5cWI3xzgLq2WwUFRVV42gREf8V\nYTqABKby8nKifuZVh78kH3jn+79XV1R4OOXl5WdwBhER/6MilmqJjIykzOPx+vPrgf8AvwcsTi81\nnwIKgA+8PEeZx0NkZGQVk4qI+DddI5Zqqeo14pOcvkb8X49yupjnAed4cXwxcL6uEYtIENI1YqkW\nm81GUpMmXi811wUa/uCvs77/37wpYTi9pN0yPl4lLCJBR0Us1dauY0ec1dzpajLe3zEN4AwLI1lv\nYRKRIKQilmrrP3gwz9vteH+luHo8wAK7nfQhQ3w8kohI7VMRS7U5HA6iGzZkjY/HWQPY4+JISUnx\n8UgiIrVPRSzVFhYWxtiMDMbHxOD20RhuYFxMDGMzMvTCBxEJSrprWs6IZVn0ueYaOuTlMdEHr0Kc\nGhHBJoeDt9euVRGLSFBSEcsZKywspG1iIouKi0mrwfNmA4NiY9m2cyeNGjWqwTOLiPgPLU3LGWvc\nuDHLsrIYaLeTXUPnzAYG2u0sy8pSCYtIUFMRS41wOBwsz8lhUGwsUyMiqn3N2A1kREQwKDaW5Tk5\nOPTIkogEORWx1BiHw8HWggI2pqRwVUwMq8HrR5s8wGrgqpgYNn1/HpWwiIQCXSOWGmdZFksyM5kx\neTKlRUUMcblwWBZt4EfbYZ4APuT0Zh0L7Hai4+IYl5FB+oABujFLREKGilh8xrIs8vLyWLJgAR84\nnWzft496NhtR4eGUeTwcc7tpGR9PssNB+pAhpKSkqIBFJOSoiKXWuN1uioqKKC8vJzIykri4OO0d\nLSIhT0UsIiJikG7WEhERMUhFLCIiYpCKWERExCAVsYiIiEEqYhEREYNUxCIiIgapiEVERAxSEYuI\niBikIhYRETFIRSwiImKQilhERMQgFbGIiIhBKmIRERGDVMQiIiIGqYhFREQMUhGLiIgYpCIWEREx\nSEUsIiJikIpYRETEIBWxiIiIQSpiERERg1TEIiIiBqmIRUREDFIRi4iIGKQiFhERMUhFLCIiYpCK\nWERExCAVsYiIiEEqYhEREYNUxCIiIgapiEVERAz6f5e7ajUX3+kuAAAAAElFTkSuQmCC\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "G = nx.Graph() #建立一个空的无向图G\n", "G.add_nodes_from([1,2,3,4,5]) #加点集合\n", "G.add_weighted_edges_from([(1,2,3),(1,5,1),(2,3,1),(2,4,2),(4,5,1)]) #加边集合,有权边\n", "nx.draw(G,with_labels=True, node_size = 800)" ] }, { "cell_type": "code", "execution_count": 118, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "[3, 2, 4, 5]" ] }, "execution_count": 118, "metadata": {}, "output_type": "execute_result" } ], "source": [ "#节点4和节点5之间的最短路径\n", "nx.shortest_path(G,source=3,target=5,weight='weight') " ] }, { "cell_type": "code", "execution_count": 119, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "4" ] }, "execution_count": 119, "metadata": {}, "output_type": "execute_result" } ], "source": [ "#节点3和节点5之间的最短路径长度\n", "nx.shortest_path_length(G,source=3,target=5 ,weight='weight') " ] }, { "cell_type": "code", "execution_count": 120, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "{1: {1: [1], 2: [1, 2], 3: [1, 2, 3], 4: [1, 5, 4], 5: [1, 5]},\n", " 2: {1: [2, 1], 2: [2], 3: [2, 3], 4: [2, 4], 5: [2, 4, 5]},\n", " 3: {1: [3, 2, 1], 2: [3, 2], 3: [3], 4: [3, 2, 4], 5: [3, 2, 4, 5]},\n", " 4: {1: [4, 5, 1], 2: [4, 2], 3: [4, 2, 3], 4: [4], 5: [4, 5]},\n", " 5: {1: [5, 1], 2: [5, 4, 2], 3: [5, 4, 2, 3], 4: [5, 4], 5: [5]}}" ] }, "execution_count": 120, "metadata": {}, "output_type": "execute_result" } ], "source": [ "#网络G中所有节点对之间的最短路径\n", "nx.shortest_path(G,weight='weight') " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### 7.x.2 有向加权网络中的最短路径" ] }, { "cell_type": "code", "execution_count": 121, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAeIAAAFBCAYAAACrYazjAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n0Dl2lpbkrjQAAAAASUVORK5CYII=\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "G = nx.DiGraph() #生成一个有向网络\n", "G.add_nodes_from([0,2,3,4,6,9,10,11,12]) #加点集合\n", "G.add_weighted_edges_from([(0,2,2),(0,4,6),(0,6,9),(2,3,1),(2,4,3),(3,4,1),(3,9,6),(4,6,2),(4,10,7),(4,11,9),(6,10,4),(9,12,5),(10,11,1),(10,12,5),(11,9,5),(11,12,1)]) #加边集合,有权边 #建立一个空的无向图G\n", "pos = nx.spring_layout(G)\n", "nx.draw(G,pos,with_labels=True,node_size = 800) #绘制图形" ] }, { "cell_type": "code", "execution_count": 122, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "[0, 2, 3, 4, 6, 10, 11, 12]" ] }, "execution_count": 122, "metadata": {}, "output_type": "execute_result" } ], "source": [ "#查看节点0到节点12的最短路径\n", "nx.shortest_path(G,0,12,weight='weight')" ] }, { "cell_type": "code", "execution_count": 123, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "[0, 2, 3, 4, 6, 10, 11, 12]" ] }, "execution_count": 123, "metadata": {}, "output_type": "execute_result" } ], "source": [ "#查看节点0到节点12的Dijkstra路径\n", "nx.dijkstra_path(G,0,12)" ] }, { "cell_type": "code", "execution_count": 124, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "12" ] }, "execution_count": 124, "metadata": {}, "output_type": "execute_result" } ], "source": [ "#查看节点0到节点12的最短路径长度\n", "nx.shortest_path_length(G,source=0,target=12,weight='weight')" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "collapsed": true }, "outputs": [], "source": [] } ], "metadata": { "kernelspec": { "display_name": "Python 2", "language": "python", "name": "python2" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 2 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython2", "version": "2.7.12" }, "latex_envs": { "bibliofile": "biblio.bib", "cite_by": "apalike", "current_citInitial": 1, "eqLabelWithNumbers": true, "eqNumInitial": 0 }, "toc": { "toc_cell": false, "toc_number_sections": true, "toc_threshold": 6, "toc_window_display": false } }, "nbformat": 4, "nbformat_minor": 0 }