{ "cells": [ { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "### 网络科学理论\n", "***\n", "***\n", "# 网络科学:使用NetworkX分析复杂网络\n", "***\n", "***\n", "\n", "王成军 \n", "\n", "wangchengjun@nju.edu.cn\n", "\n", "计算传播网 http://computational-communication.com" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "http://networkx.readthedocs.org/en/networkx-1.11/tutorial/" ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "collapsed": false, "slideshow": { "slide_type": "slide" } }, "outputs": [], "source": [ "%matplotlib inline\n", "import networkx as nx\n", "import matplotlib.cm as cm\n", "import matplotlib.pyplot as plt" ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "collapsed": false, "slideshow": { "slide_type": "slide" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[1, 2, 'spam']\n", "[(1, 2)]\n" ] } ], "source": [ "import networkx as nx\n", "\n", "G=nx.Graph() # G = nx.DiGraph() # 有向网络\n", "# 添加(孤立)节点\n", "G.add_node(\"spam\")\n", "# 添加节点和链接\n", "G.add_edge(1,2)\n", "\n", "print(G.nodes())\n", "\n", "print(G.edges())" ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "collapsed": false, "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "data": { "image/png": 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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# 绘制网络\n", "nx.draw(G, with_labels = True)" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "# WWW Data download \n", "\n", "http://www3.nd.edu/~networks/resources.htm\n", "\n", "World-Wide-Web: [README] [DATA]\n", "Réka Albert, Hawoong Jeong and Albert-László Barabási:\n", "Diameter of the World Wide Web Nature 401, 130 (1999) [ PDF ]\n", "\n", "# 作业:\n", "\n", "- 下载www数据\n", "- 构建networkx的网络对象g(提示:有向网络)\n", "- 将www数据添加到g当中\n", "- 计算网络中的节点数量和链接数量\n" ] }, { "cell_type": "code", "execution_count": 12, "metadata": { "collapsed": false, "slideshow": { "slide_type": "subslide" } }, "outputs": [], "source": [ "G = nx.Graph()\n", "n = 0\n", "with open ('/Users/chengjun/bigdata/www.dat.gz.txt') as f:\n", " for line in f:\n", " n += 1\n", " #if n % 10**4 == 0:\n", " #flushPrint(n)\n", " x, y = line.rstrip().split(' ')\n", " G.add_edge(x,y)" ] }, { "cell_type": "code", "execution_count": 13, "metadata": { "collapsed": false, "slideshow": { "slide_type": "fragment" } }, "outputs": [ { "data": { "text/plain": [ "'Name: \\nType: Graph\\nNumber of nodes: 325729\\nNumber of edges: 1117563\\nAverage degree: 6.8619'" ] }, "execution_count": 13, "metadata": {}, "output_type": "execute_result" } ], "source": [ "nx.info(G)" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "# 描述网络\n", "### nx.karate_club_graph" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "我们从karate_club_graph开始,探索网络的基本性质。" ] }, { "cell_type": "code", "execution_count": 23, "metadata": { "collapsed": false, "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "data": { "image/png": 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iBgwaIBxcHISxmbEwNDYU1vbWoq1vW3Hs2LFs/16lrJOBWJLeQaGhoeJ///uf\nsLW1Fb169RL//vtvlo9t2LChqFmnpjDPZy7yFcknrMtaC+uS1sLczlyUKFdCLFq0KFVgTc/58+eF\nt7e3cHZ2FtOnT09VExVC6cc8dOiQ+N///idKlCghChYsKPr16yd27dqV5X7lmJgY4eXlJby8vLJU\nto0bNwoXFxfRv3//pFp7QkKCKFmypNi7d2+q/RMSEoSnp6eYNGmSEEKIAgUKJNXkp0yZInr27Jml\nci5cuFCUKVNGDB48OEv7Z+ZdCMLXrl0TNerVEKbWpsKotpGgH4LhKC0rgxD6jfWFhbOFKP5JcbFn\nz548K+eHTAZiSXqH3LlzR/Tv31/Y2tqKAQMGiDt37mTr+MuXLwtHR0cRExMjYmJiRGBgoNizZ484\nePCguHr1ao5rNWfPnhWtWrUSrq6u4s8//xTx8fFp7qfT6cTly5fFxIkTRfXq1YWNjY1o3769WLly\npXj69GmG10hISBBdunQRnp6eme4rhFKT/vrrr4Wbm5vYvXu3EEKI1atXi2rVqqV5n3fu3BGOjo7i\n6NGjomnTpmLz5s1CCCFu3bol7O3tM62NCyGEp6enKFiwoDh+/Him+2bmXQjCJ06cEPny5xN6TfQy\nTvYbg6AjwszGTCxevDjPyvuhkoFYkt4B//77r+jRo4ewtbUVQ4YMEQ8ePMjRebp165YqSzg3BQYG\nimbNmolChQqJefPmZVrjffDggVi4cKFo0aKFsLKyEvXr1xczZsxIN8tXq9WKwYMHi/Lly4t79+5l\nqUw7d+4UhQsXFt26dRPh4eGiUqVKYtOmTWnu6+/vLwoXLiwGDRokxo4dm7Tdw8Mj04B4/fp1kT9/\nflG4cOHXbqZ9F4Lw1atXhVV+K0HHbGTZ91dyC148xEi5QwZiScpDV65cEV26dBF2dnZi1KhRIjw8\nPMfnunPnjrC1tRVPnjzJxRKm7fjx46JRo0bCzc1NLFq0KEu1yejoaLFp0ybRrVs34eDgICpWrChG\njRolAgMDUwQ2nU4nJk2aJNzc3MS1a9eyVJ7IyEjRr18/4erqKkaNGiXKlSuXbgLW999/L9zd3UXr\n1q2Tts2YMUN07do1w2uMGDFCfP755+J///tflsqUnnchCAshxKcenwqaIKiCwBqBCQJnJY/gRUIf\nxRCYIbBAUA7B/xD0RFhYW2S5e0PKnAzEkpQHgoODRfv27YWDg4P4+eefxbNnz177nIMHDxbff/99\nLpQu6w659tiSAAAgAElEQVQfPizq168vihcvLpYtWybUanWWjtNoNOLIkSNiyJAholSpUsLV1VX0\n6dNH7NixI6nZe9GiRcLZ2VkEBQVluTwBAQGiePHiws7OTsyePTvNfVQqlahQoYLInz9/0rb79+8L\nW1vbdJvcNRqNcHV1FW5ubuLkyZNZLs+rjh079k4E4QsXLggzWzPBjwjqIhicGHw7ITBW+obpjKB9\nYn/xyMSAXULZz6K8hWyizkUyEEvSW3Tq1CnRsmVL4ezsLKZOnZpieNDrCA8PF7a2tuLu3bu5cr7s\nOnDggKhVq5YoVaqUWLlyZbaGAwmhNJNOnjxZeHp6Cmtra+Hj4yNWrFghli9fLhwcHLKc1SyEkvjl\n6+srDAwMxLJly9JsRg4JCRFAisSu2rVriy1btqR5zt27d4syZcqIIkWK5LhZ+l0JwkII0b1Xd2FQ\nzyDt5mcnBL5pbO+dWGseqwTpkuVLykzqXCKXQZSkt+Do0aP8/PPPXLp0iaFDh9KjRw/MzMxy7fzj\nx4/n9u3bLF68ONfOmV1CCPbt28eYMWOIiIhg7Nix+Pj4ZHvSi8ePH/PPP/+wZcsWDhw4QPHixQkJ\nCWHKlCn069cvy+fx8PDgzp07uLu7M2/ePFxdXVO8X6ZMGZ4/f86VK1ewsbFh7ty5HD58mDlz5vDg\nwQNiY2OxtramUKFCdO/enfDwcCpVqpRi2cWsOn78OK1atWL58uU0adIk28fnNksbS2K6xYDNK29E\noyy92AdlLvLkjgOXUFZ80oH5n+YEnwymRIkSb77AH7o8fhCQpA+WTqcTe/fuFXXr1hVFixYV8+fP\nT7fp83VER0cLBwcHceXKlVw/d07odDqxY8cOUbVqVVGhQgWxcePGHNecYmJixJYtW0SrVq2Evr6+\ncHFxESNHjhQnT57MdBxvUFCQcHFxEcOHDxf29vZi4cKFKcrRt29fUatWLdG2bVuh1WrF+vXrhYGZ\ngTA2NxZWLlYiX5F8wtJJGXNtZGokChYsKAIDA7N9D+9STVgIZbiZnr6ekgmdvMY7OrFP+LM0asN9\nEvuKu7/cZl3COlcnNfmYyRqxJOUyIQQ7duxgwoQJPHnyhJEjR9KxY0eMjIzeyPX++OMPDh48iJ+f\n3xs5f04JIdi2bRtjxowBYNy4cTRv3jzHS/Rdu3aN+vXrU7x4ccLCwnj+/DktW7akZcuW1K9fH1NT\n01TH+Pj4UK1aNZo0aUL37t2xsbFh4cKFFC1alAULFnDkyBGCgoJ49OwRCYYJRFeMhkqASbKTPAW9\nQD04A61atmLl0pWYm5tnqczvWk04JiaG69ev417VHTFKwItfhQA2AAkoi4Ekb8R4AiwFvgAqvtxs\nvcqazfM3U7du3bdQ8g+bDMSSlEt0Oh2bN29mwoQJqNVqRo0ahY+PT64vk5ecWq2mePHibNiw4Z1d\nDF4IwebNm/npp58wMTFh/PjxNGnSJEcB+cGDBzRp0oS6devSt2/fpCbs8+fP88UXX9CyZUu8vLyw\ns7MD4MqVK9SpU4eQkBAsLCz4/fffmTJlCmPGjKFatWp07dqV+4/vE1M7BqrwMjClRQ2mO0wppV+K\noweOYmmZ8RrObzsICyGIiIjg9u3b3L59m1u3biX994tXdHQ0hQsXJuTfEMRQ8fKBYzPwHOhMyuUz\nI1CCcC3APeX1rBZZcfifw1SqVOmN39uHTgZiSXpNWq2WdevW8csvv2BqasqoUaNo2bJlri4IkJ7l\ny5ezbNky9u3b98av9bp0Oh1+fn6MHTsWa2trxo8fT4MGDbIdkCMiImjZsiWFChViyZIlGBsbExYW\nxrZt29iyZQv79u2jSpUqtGrVilatWjFhwgQKFSrE+PHjAaVm/c033xATE8O5S+fAGyiTxYsLMN1u\nyufWn7Nv5750H7LeRBAWQvD48eM0A+yLbQBubm4UKVIk6ZX833Z2dhw/fpz2Xdrz8NOHSu1/K/AI\n+AowTnbBSGAJUBXwfKUw4WC1yoqw0DBMTEyQXo8MxJKUQ2q1mpUrV/Lrr79ib2/P6NGjc1zTywmd\nTkeFChWYMWMGX3zxxVu5Zm548eAyduxYnJycGD9+fLabN+Pi4vD19UWtVrNhwwYsLCxSvLdv3z62\nbNnC1q1byZcvH3fv3mXjxo00btwYfX19dDod1Tyrcdr4NDQANgL/AWrAHKV2XBu4B+wHHqA017oB\njcDCz4I1s9fQvHnzVGXLaRDWarXcv38/zQB7+/Zt7ty5g6WlZbpBtkiRItjY2KT6+9NoNAQEBODn\n58fmzZtxcHCgXLly+J/0J7ZVrJKcZUjK5ugWKE3SB4FXe1RGKGsgD6wxkKmTp2b5/qT0yUAsSdmk\nUqlYsmQJkyZNolixYowePZq6deu+tQD8wtatWxk7dixBQUFv/dq5QaPRsHr1asaNG0fhwoUZP348\nNWvWzNbxPXv25MqVK2zbti2pOTo5nU7HqVOn+Pbbb7l16xbGxsa0aNGC+vXr061nN+L7xIMl8Biw\nRQk64Sg1wTaJJ0kAiqMEqu1AFFAOakbX5PDewymul1EQVqlU3L17N91m49DQUOzt7dMMsC9eyR84\nMqJSqdi3bx9+fn74+/vj5uaGt7c33t7elCxZEo1Gg3MhZ560eAKumZ8vhXgwnWPK1fNXKVKkSDYP\nltIiA7H0Qbt+/Tr+/v48evwIrVaLo4MjjRo14tNPP832uWJjY1m4cCFTp06lYsWKjBw5kho1aryB\nUmdOCEGNGjUYPHgw7dq1y5My5Ba1Ws2KFSv4+eefKVWqFOPGjcPDwyNLxwohGDZsGP/88w+7d++m\nYMGCae738OFDypUrx8aNGwkKCmLOnDn8Z/If+KaxcziwHOgAuLzy3gOUPtMfwHSWKRfPXKR48eIA\nHDhwAB8fH7777jscHBxS1WqfPHmCq6trquD6IugWLFjwtZp54+Li2LlzJ35+fmzbto1y5crh7e1N\n27Zt0wyYy5cvp+8PfYntGqs8jGSFFsw3mNOpTicWzl2Y47JKKclALH1wdDod/v7+TJ4xmXPnzqEr\nqyPBPAH0wDDeEONrxrgVdGPY4GH4+vpm+uUXFRXF3Llz+f3336levTojR47ks88+e0t3k7bDhw/T\nvXt3rl69+kaTwd6mhIQEli5dyoQJE6hQoQLjxo3L8uc8depUZs+ezc6dOylTJu0O3xEjRvD48WMW\nLVqER10PTrqchNLJdtgGnAO0QFOUvtFXJRtLa7jJkPJ65dHX1+fGjRtERkbi6upKuXLl0mw6dnFx\nyfXfVVRUFNu3b8fPz49du3bh7u6Ot7c3bdq0wcXl1aeI1H4a9xPT5k0jtn0s5M9kZxWYbzanRtEa\nbN+yHUNDw0wOkLJKBmLpgxIXF0eb9m04ev4o0Z9FwyekzAIF0AEhYHHaghLWJdi7fS/29q/OXqAk\nBf3xxx/MmjWLBg0aMHLkSCpUqPA2biNTXl5etGrVil69euV1UXKdSqVi8eLF/Prrr7i7uzNu3Dgq\nV66c6XFLlixhxIgR+Pv7U7Vq6ij67NkzSpUqxZEjR2jh04IQjxB4tQItgNvAWuBLUjbbPgSWoQzv\nKQx6e/TwLeRLw4YNGTZsGMuXL6dZs2Y5vOuse/bsGVu3bsXPz48DBw5Qo0YNvL29adWqFQ4ODtk+\n36zZsxj641AoC/FV4lO3AkSA4VlDDM8Z4uvjy6J5i2QQzmUyEEsfjISEBOo1qseZyDPEe8WnDsCv\n0oFxgDGuj1w5e/Is1tbWAISHhzN9+nTmzZtHixYtGD58OKVLl874XLlMo9Hg7+/P/CXzuRd6D5VK\nhY2NDQ1qNaB+3fp069aN//77L82xs3lNCEFsbCzx8fFYW1vn+Es7Pj6e+fPnM2nSJDw9PRk3bhzl\ny5fP8Bh/f3969OjBypUr00xgmzhxIsHBwZy7co5rVa9BoXRO9A/K38+Lbt40xtIa7DWgZ/me+Pn5\nsWzZMpo2bZqT28ySsLAwNm/ejJ+fH8eOHaNevXr4+PjQokULbGxenR4r+x4/fsyChQuYOXsmKgMV\n+jb6CD0BsaAJ0/BVl68YNGDQW///4GMhA7H0wejdrzcrAlYQZxqnZMDGoyTgNABKooyJnEHKIRo1\nwCTehBr5avD3kr/57bff+Ouvv2jXrh3Dhg2jWLFib/Ue4uPjmTh5IrPmzEKTT0NUuSilydAQiAPj\n/4zRnNZQrHgxVi9bnedN5MldunSJ6bOms2rlKtRqNQZGBiTEJlC8bHGGfjeUTp06ZTnZKLnY2Fjm\nzp3L1KlTqVu3Lj/99BNly5ZNd//Dhw/j7e3Nn3/+Sfv27VO8FxMTQ4kSJXAu4sy5IueUFpO0+AMW\nKH876Y2lXQNchXLlylGnTh0qVqxIhQoVKF++PPny5cv2fb4qNDSUTZs24efnx+nTp2ncuDHe3t40\na9YMKyur1z5/WrRaLadPnyYsLAyNRkP+/Pn59NNPc/R7k7JOBmLpg/DkyRNci7ii6qlS+vmqANbA\ndZQZg15MUTwTGEPKiRu0YDjdEHN9c7p27cqQIUMoVCi9qtKb8/TpUxo2a8iV6CvE14oH53R2VAHn\nwfyoOUsXLM3zZK1bt27R/sv2XLx8kYRKCWiraJXPHpRugP/AMtgS3W0dQ4cMZczIMTnK8o6Ojmb2\n7Nn89ttvNGrUiDFjxlCqVKk09w0ODqZZs2aMHDky1fzUs2bNYsGCBdzUv0lM2xiIAW4CpVAeeP4D\n1qOMq7Ui7bG08cBvMHvGbMqUKcP58+e5cOEC58+f5/Llyzg6OiYF5hc/S5YsmWnrwO3bt/Hz88PP\nz4/Lly/TvHlzvL29ady4ca7OTS69W2Qglj4IU6dN5ac1PxHXIi71m3OBukABlBrxGFKOmQT09uvR\nsUhHVi5f+aaLmqa4uDiq16nOFcMrJHyRkKp8aXoAZmvN8Fvl90abRTNy4cIF6jSow/Mqz9FV02Xc\nHfAMzLeY06JGC1YtX5XjCU8iIyOZNWsWM2bMoHnz5owePTrNlov//vuPRo0a0aVLF8aMeRn8VSoV\nJUqU4GH4QzR9NUqZ16FMagFKC0QdlESuANIeS9sA3CPcCToWlOq6Wq2Wf//9Nykwv/gZGhpKmTJl\nUgToihUrEhkZmRR8b968SatWrfD29qZBgwZysoyPhAzE0gehQJECPPziYeo+vxeryfQFDFBqxC9a\n9YoBjVAmcIgEs4VmhD0Iy5NmuIGDB7Jg3wJUhqq0m9XPo/RbviBQJp9oBRYBFty9eRdbW9u3WuZ7\n9+5RuWplnng+STEHcYYSwGKdBd2ad2PW9Fmvdf2IiAhmzJjBn3/+SZs2bRg1alSqYTqPHj2iSZMm\neHp68scff6Cnp8fq1asZPHgwz6Ofo6ukQ9NEozQ/x6DU4M1QPvv0EpwTwHShKdvWbKN+/fpZLm90\ndDSXLl3i/PnzBAQEcOzYMe7evYsQggIFCvD555/TtGlTKleuzCeffJLl+azfFWq1mpCQEJ4+fYqR\nkRGOjo64ubm9l2Pc3zYZiKX3nkqlwtzCHN0oXaomZ1ai1HCao0zMEI7S5BuHMlxFBXRRdrdaYMWp\nfafSHf7ypsTExODo4khsl1hlaExazeqv5uOcAw4BA8Hc35yfv/yZ7wd//1bL3a5TOzaFbkJbT5vy\njTCUiS9CUfpZvwCSd+nGgvkic47tP5Yr8xQ/ffqU33//nblz59K+fXtGjBiRomvhxeIQoARvMzMz\nfv31V3r27Mmj8EfEGMUoDz5WKC0RsSgB2R34lJcPbgAaMFxnSBv3NqxduTbLQUYIwdmzZ/Hz82PD\nhg3ExcXRtm1bvL29cXNz49KlS0k15/Pnz3P9+nUKFy6cqnm7aNGib2Xq1Oy4f/8+c+fPZfa82WgM\nNRhYGIAOEp4lUMi1EMMGD6NDhw7v3YPF2yQDsfTeCwsLo1DxQqj+p3q5MaPVZF6IBqYBIwBjsF5u\nze7Vu9/64gmLFy9m0IxBRPtEp37zRbP6q7lJS4GiKE2ot8Flvwt3/7v71r6kw8PDKVS0EPH94pUW\nhRd0wGyUPtXPgVvAKpT1bZNNfGVwyIAvi37J0kVLc7VM06ZNY+HChXTq1Inhw4fj4uLCyZMnGTJk\nCGfPnqV48eIcPnyY/fv306FLBxLsEtBV1ymtDsk/ugdAEMqDUVWgHhALRhuN4CFs2bAl0+4AnU7H\nyZMnk5qdDQwMkma3qlq1aoZBXK1Wc+3atVTN28+ePaNcuXKpAnT+/JkNAs59Op2OwT8MZsHCBYgK\nAlVlFTgl3wH4FyzPWSLuCVYsWUGbNm3SO91HTQZi6b0XFxeHlbUV2pHJambprSaTXDTwG/AjYAJW\nC604vus45cqVe8MlTqlStUqcL3leSRZ6tXxpLdIeAfwBDESpKQuwXGTJrnW78PR8dXb+N2PylMmM\nWz+OuOav9Mk/BhahPNy8sAJlvG69ZNsiwXSBKQ/vPUwaNpZbHj9+zOTJk1m0aBGOjo7ExsYyfvx4\nOnfuTP/+/dm3fx8Pnz0k3ic+9TjiV8UAq5WfRvFG9OvXj9bNW9O+fXs2b96c6vPWarUcPnwYPz8/\nNm3aRL58+fD29sbHx4eKFSu+djNtREQEFy5cSBGgL1y4QL58+VIE5ooVK1KmTBmMjY0zP2kOaLVa\nvH292RO8h9i2sSkfxtJyH8z8zJgxaQa9en54Y99flxyVLb33zMzMsLCyIDI8UglYW1GaoL8i5V/4\nPcAUpWYWB+xAmcTfBIiHhIiELM1GlNvu37ufenUbLcpCBJVJGYQBgoHCvGyu1gM9Rz3u3bv3Zgua\nzPK1y4krn0ZiXFoESoBOLh8YFTFi3759tG3bNlfLplariYyMxMjICCcnJy5dusS1a9eIiorCx8eH\nZWuXoflak/pzTYsF0BUMlxvSo3MPZkybASjTQ7Zp04adO3dSvnx5Dhw4kLSogouLC97e3uzZsyfD\nYVY5YWNjQ61atahVq1bSNiEEt2/fTgrMW7du5ddff+XmzZuUKFEiVYAuWLDgaz8QfPf9d+w5v4dY\n39jUiWxpcYW4znEMGjaIwoUKvxNrM79LZCCWPgg9v+nJrGOzSKiaAKdR/rKnJduhReLPfSh9gCYo\nyVreidvPgbOLM3fvvv2kJ1W8KuX/iQIlCBsAaU3UFIyyMlAyMeoYJk6cyNatW7GyssrWKyeZuU+f\nPE3Zd/qCHUrwOgp4oAwLuo3SjP4KrYWW8PDwbF87Pc+ePWPSpEksWrSIXr16ERISgq2tLffu3WPi\nxImULl0araEWTSuN0r+e1mpLYcAm4GniSR2AhqDpqGHJ3CUMHzqcQoUKUbduXbp3706NGjUwNjam\nTJkyeHt7c+zYsaS5p98WPT093NzccHNzS+oLB2VM+pUrV5IC9MyZM7lw4QLx8fGpgnP58uWzPDb5\n1q1bLF6ymPje8UouQFrJhSRu347SMlUQaAVxzeLoM7APN6/dlElcycimaemDcOvWLcpULINqgCrl\nhB1ZIcB8gTntG7dn7969uLq60rt3b9q3b/9WMqidizjzqOWjlzW0jJrV7wB/Az+Q4j7N15vT36s/\n5cqVIyoqKsNXZGRkin/r6ellO3gPHDKQ5+2fp12rfITyBRyGMl2ieeJ9tEy5m/5mfdyN3KlZsyaO\njo5pvrKS4BMbG8usWbOYNm0abdq04aeffsLVNfWSQuvWraNzv85o+muUsqW12lJBlNYSW5QHolMo\nQXsImOw2oalzU8xMzNi+fTsVK1akUKFCHDhwgKNHj1K0aBpPG++gsLCwFIlhFy5c4PLlyzg5OaUK\n0CVKlEg19vmHoT8oD711EuAYaScXGqOMUGiF0uWyH+Vv9xuwWGjB9tXbqV37lafJj5gMxNIHo3Hz\nxgQ8DyChYUK2jtMP1Kf4zeJcu3gNrVbLzp07WbBgAUePHqVDhw706tUrV7J70+PV2ovtmu1KUlB6\ni7S/4I/SbJ0850UNpn+acvH0xWzXxoQQqFSqTIP3q6/NOzcT0ypGaSLPzGKUJnb3lJuNVhnhWcCT\nggULEhcXR2xsLFFRUTx//pxnz54RHh6OgYEBTk5OqQK0g4MDdnZ2nD17llWrVlG1alUmTZqU4RSY\nLdq2YJtqG6LaK1956a22pEVpXTmD0k8fBgaLDZgxdQY+Pj44OyszrsyePZvff/+dw4cP50nXRm54\nMfY5eWLYhQsXCA0NpWzZskmBuXTp0nTo0oHoztFpP4S9SC6MRcns/yZxewIwBegDev/q4WXqxdaN\nW9/Kvb0PZCCWPhhPnz6lUtVKPCj2AG0NbcqhTOk5D9aHrDlz8kyqSSHu3bvHX3/9xaJFiyhQoAC9\ne/fG19c312vJfn5+dOzXEXUndfqLtFcANCjN7b6kbOoNhurPqnPswLFcLVdGhg0fxoxDM0holMZD\nzyOUJmodEIiSfdyflONy48BghgHt27ZHq9WmG/ATEhKwsLDAzMwMY2NjjIyM0NPTIyYmhidPnqCv\nr4+5uTlqtZq4uDjMzMywtrYmf/782Nvb4+TkhLOzM66urowaO4qEfgkvl/zLaLWlSSjBwwroStLK\nRFaLrTiw6QDu7imfKiZNmsSKFSs4ePBgmguIvK+Sj32+cOECR44c4eyts/BdWjvzMrkwEOX375Xs\n/TkoCXsFwXyhOTHPY954+d8XMhBLH5R79+5R54s63De7j8rjleEUyT0Do0AjrG9ac2D3gQxrUslr\nyYcPH06qJWdlRaCM3Llzh2nTprFixQrUemqlhumWzZMIsFxhycrpK1P0D75pd+7coXT50sQPiE9d\nc9+NUovUAUVQgtwro2v0TujRwqIFWzZsyfA6arWa6OjopMAcEBDArFmzSEhISFpn98X7kZGRhIWF\n8fTpU549e8bz58+Jjo4mNjaWuLg41Gp16lnVMlptSY0ys9a/KMEFMF5iTOOKjdOcAvXEiRPcvXuX\nli1bJvW75/bX65v4us7OOe/evcvey3tJ+PqVB7BXx+xvQckVaJhsn8UorSIVQO8XPTRqzTs3Jjqv\nyGQt6YNSsGBBzp48y5RpU5g9dzba/FqiSke9nKwhBixDLBF3Bd2+7saIDSMoUKBAhuc0MDDAy8sL\nLy8v7t27x5IlS2jVqhVOTk706tWLDh06YGmZ1ZXV4dq1a0yePJktW7bQo0cPrly5wp69e+gzpI8y\nqUc2KtyGxw1xNnXGy8sr851zUeHChalZqyZ7z+xVkrKSa5T4So8azM+ZM2T9kEyvY2RkhK2tLbdv\n3+bHH38kJCSECRMm4Ovrm60vcZ1Oh5GRETqhS/mGHsrDTzngAikDsRFKIDmFsgSiM+jr6ePm5pbm\nKkRly5Zl/fr1HDhwgG+//TYpGOd2UtKbSHLK6jlNTEzYf3V/yo1pJRcao0yWk5wKJUlSKNeTyVov\nyRqx9MFSq9Vs2bKFmXNnci74HGU/KYt9fnt8Wvq89kw/Wq2WXbt2sWDBAg4dOoSvry+9evWiSpUq\n6R5z9uxZJk6cSEBAAAMGDKB///4pMrR/GPoDc9fMJbZdLGS2eI8AjkL+8/kJPh1MwYKZDYjNfRcv\nXsSjlgcxrbNRk9eBmb8ZDdwa4L/RP9Mv43///ZfRo0dz4MABRo4cSa9evXI8NjafXT6iukQpiViv\nSr7aUnJaYCLKFKn5wXK+JUd3HaVixbTn9NTpdHTr1o2HDx/i7+//wc0VHRwcTM2mNYnuFf2y6yet\n5MLTpNtHjD5Yr7QmIjziLZb83SbbBaQPlpGRET4+Pgz+djANajbg1KFTbN+8ne7du7/2dHsGBgY0\na9aMzZs3c+HCBVxdXWndujVVq1Zl4cKFREVFJe175MgRmjVrRosWLahevTr//fcfo0ePTjVMaurk\nqfzY+0fMlphhcMgAol69Kkpz7zWwXGeJ3SU78ufL/8aWxMtM+fLl2bJhC+abzOFKFg5IALPNZlS0\nqsj61eszDMKPHj2if//+VKtWjTJlyhASEkL//v1zFIRVKhVbt27F3s5eCQ4xwEWlPOiAGygzaJVB\naYZ+kLg9HtiFkpRkB9wDSyPLDLsx9PX1Wbx4MVZWVnTs2BGNRpPt8r7LKlSogKWhpTImH16O2e9I\nyvbVMiiZ6VdQchsCUKaWtQeDCwb4+Pi8vUK/D4QkfeDmzJkjevXq9cavo9FoxPbt20Xr1q2Fra2t\naNasmahSpYooVqyYWLBggYiPj8/SeYKDg8XXPb4WZlZmwrKipTCsaSj0ausJ0+qmwtzBXJStVFYs\nXbpUxMbGigEDBohGjRoJtVr9hu8ufadOnRKOro7CqpiVoDWCkQjGJnsNQBjXNBam+UxFxy4dM/wc\nnj9/LsaMGSPy588vBg0aJB4/fpyjMqnVarFr1y7RvXt3kT9/flG7dm3RoUMHoWemJ/gfgiIITBNf\nLgg6Jpa1HQJ7BMYILBGURzBYec/M3UxMmTolS9ePj48XTZo0EV26dBFarTZH9/CumjJ1ijBzNxMM\nQgACw8TP68XLO/Gz/CrxszRC4Iay/2iEWX4zcfHixby+jXeKbJqWPnjjxo1Dq9Uyfvz4N34trVbL\npk2bGDduHI8fP0an01G4cGF69+5Nx44ds1V7ff78OVu3buXBgweoVCpsbGyoXr16ioxdjUZD8+bN\nKVmyJLNmvd5qRq9Dq9Wyfft2Jk+fTFBgECa2Jqg0KoRKYIIJvb7pxbd9v013rK1KpWLevHlMnDiR\nRo0aMX78eNzc3LJVBp1Ox5EjR1izZg0bNmygaNGidOjQgXbt2mFnZ0eFChXQGmq5VeaWMvY1O56A\nyV8m3L99Hzs7u8z3Rxnf3KRJEypUqMCff/75wfSJPnnyhIJuBYnvFp9i/vCs0DutR+Wwypw5fubN\nFO49JQOx9MHr168fn3zyCf37939j11Cr1axcuZJJkyZhY2PDyJEj8fLyQgjBnj17WLBgAQcOHKBd\nu3b07t071fCX1/H8+XM8PT3p168f3377ba6dN6ceP37Mw4cPWbx4MRERESxYsCDdvlKtVsuqVasY\nM427rRUAACAASURBVGYM5cqV49dff023/zUtQggCAwNZs2YN69atw87Ojg4dOuDr65tiONqoUaO4\ndu0ao0aNokbdGtnr144G5oOZ1gz/Lf40bNgw00NeiIyMpEGDBjRo0ICJEyd+MMF4/vz5fP/T98R+\nGZv2DGtp+Q8s/S05fvh4hs37HyPZRyx98B49eoSTU3rjmF5PXFwcf/75JyVKlGDlypXMnTuX48eP\n06JFC/T19TEwMKBJkyZs3LiRy5cv4+bmho+PD+7u7syfP5/IyMjXLoO1tTVbt25lwoQJ7N69Oxfu\n6vU4OjpSsWJFPvvsMzQaTZpBWAjBtm3bqFKlCnPnzmX58uX8888/WQrCQgiCg4MZMWIExYsXp0uX\nLlhZWbF7926Cg4MZPnx4iiB86dIl5s+fz8yZM6lUqdLLfu1glL7gjISC+TJzunfojqmJKT4+Pvzy\nyy/odJkdqMiXLx87d+7kn3/+YeLEiVk65n3Qu3dvhvUfhvlyc7ifyc464CxY+Fvwz+Z/ZBBOS961\nikvS21GjRg1x8ODBXD1nRESEmDhxonBychKtW7cWJ0+ezPKxWq1W7Nq1S7Rt21bY2NiIHv9n77zD\nmjrbMH6zSdhTQAEFpMhQ6x7FjdY9cdZBrXWLo866Wmur0qp1gdo6SnFvrQP3QnHipzhwD6YMBcJM\ncn9/BCibsMHmd125Qs67nnM4yX3e9TzffMMbN25QKpWWyqZLly7RxMSEDx8+LFU9ZcXJkyfp5uaW\n53hAQABdXV3p6OjIQ4cOyX3ejx8/5uLFi+ng4EBra2vOnj2bd+/eLbS8RCJhq1atuGHDhhzH79y5\nQ3tnewpNhVR2UyZmZpvT/l42z6lhpUF9E31u27aNJBkSEkJra2vWqlWL3bt3Z2xsrNzXIiwsjLa2\ntlyzZo3cZaoDvn/70sjMiDp2OkRfEPMyruEiEDNAlU4qFBoL6fS5E//3v/9VtrlVFoUQK/jksbOz\n4+PHj8ukrqioKH7//fc0MjLisGHDeP/+/VLVFxYWxp9//pl16tTh559/Tm9vb378+LHE9W3bto22\ntrZ8//59qewqC27fvs2GDRtmfQ4ODmbv3r1paWnJLVu2UCwWF1nHy5cvuWzZMjZs2JDm5ub09PTk\ntWvX5BbvjRs3skWLFvkumJJKpQwMDKRbNzdCBVRVVyVUQGVlZarrqLNFixZMS0vLUSYyMpJNmzZl\nvXr1WLt2bd66dUsuOzLPxdLSklu3bpW7THUgPT2dhw4dYos2LaiiqkJVDVUqqypTU0uTw0YO4+3b\ntyvbxCqPQogVfJKkpqby6dOnvHXrFoVCIZ8/f16q+t68eUNPT08aGBhw7Nixpa4vNxKJhP7+/hww\nYAD19fU5evRoBgYGlqiXPHv2bLZp04apqallamNxefPmDS0sLPjmzRt6eHjQxMSEXl5eTEpKKrRc\naGgoV69ezRYtWtDY2Jhjx47l+fPn5RLu7ISHh9PY2LjInpi3tzdHjRpFkUhEFRUVJicns0mTJqxR\no0a+118kErF37950dnamsbExN23aVKxevbm5Offu3Vusc6kuSKVSJiYmyr1DQIEMhRAr+KR4/fo1\nZ86eSV0jXWqZalHXWpfQBTW0NNiuczseP368WNtJQkJCOHr0aBoaGvK7775jaGhoOVovIzw8nL/8\n8gttbGzYsGFDbtiwgR8+fJC7vEQiYZ8+fejh4VHq4e7S8O7dOyorK9PQ0JBz585lXFxcgXmjoqLo\n7e3Ntm3b0sDAgKNGjeLJkyfz9EiLw+DBgzl79uwi83l4eNDb25skqaury7i4OLZo0YJWVlYFTjmI\nxWJOnDiR9vb2tLe3zxJyeQgKCqKpqSn/+ecf+U9GwSeNQogVfBKkpqbyq1FfUVNHk+qt1YmJufay\nzgPRG9SurU1zK/Mih8uCgoI4aNAgGhsbc/HixYyOjq6gM/kXiUTC06dP093dnfr6+vz66695/fp1\nucQ1ISGBDRs25IoV8u17LUtEIhF//vlnGhkZUU1NjY8ePco3X1xcHLdu3couXbpQT0+PgwcP5qFD\nh5icnFxqG06cOME6derIJY5OTk68c+cOSdLc3Jzv3r1j48aNOXr0aM6YMaPAclKplF5eXqxZsya7\ndevGBg0a8OnTp3LZFxAQQGNjY164cEG+E1LwSaMQYgXVnuTkZLZs25ICZwExN5cA5/dyB4V6Qp4/\nfz5PXVevXmX37t1pbm7OX3/9lfHx8RV/QvkQERHBZcuW0dbWlvXr1+f69euL7CW/ffuWNWvW5OHD\nhwvNJ5VK+eDBA548eZIHDx7kuXPnSuRIIy0tjT4+PrSwsKC7uzufPHlCGxubHOKUmJjInTt3snfv\n3tTV1WWfPn24a9cuJiYmFru9ghCJRKxTpw5PnjxZZN74+HhqaWll9bxtbW0ZEhJCZ2dn7tu3j5aW\nlkU++OzatYvGxsacMmUKTUxMePDgQbnsPHPmDE1MTIq10E/Bp4lCiBVUa6RSKXv260lBAwGxUA4R\nznyNALX1tRkcHEypVMpTp06xbdu2rFOnDn18fMqkV1YeSCQSnjlzhgMHDqS+vj49PDwKXbx048YN\nGhsb8+7du3nSRCIR//jjD9Z1rkuhsZB6jnrUra9Lvc/0qKmtyd7uvXnlypUihUgqlXLPnj2sW7cu\nO3bsyJs3b2alNW/enOfOneOBAwc4aNAg6unpsWvXrty+fXuxhtuLw6xZszhkyBC58p4/f56tWrXK\n+uzi4sKgoCDa29vz4cOHrFevHq9du1ZkPRcvXqSpqSkXLlxIKysrzpo1Sy5vZ0eOHGGNGjUUK4r/\n4yiEWEG15vLly9Qy0yLmgPgchB4IDRBmIIblI8DtMtzyjQCVuiixQdMGbNy4MR0dHenr61upriKL\nS2RkJJcvX047Ozu6uLhw7dq1+c7D7t69m1ZWVgwPD886du7cOeoa6lLLWUt2nXI/xMwGlb5UopaZ\nFpt/0ZwxMTH52nDmzBk2adKEjRo1or+/f9bxtLQ0Hj9+nLVq1aKWlhbbt2/PjRs3lvtq7qCgIJqY\nmDAiIkKu/MuWLePUqVOzPrdo0YJXr15l7dq1+eLFCy5atIjTpk2Tq67g4GBaW1tzzpw57Ny5M9u1\na5fjmhfEzp07aWFhwZCQELnaUfDpoRBiBdWaXv17UelLJdkccLt//QJjaIbf26nZxGUKCFMQOhl+\ncOeCSupK3Lx5c7X2ByyRSHj27NmsHueoUaMYEBCQoyf7ww8/sFmzZkxKSuKRI0co1BcSI+UYOVgo\n8xNtXdc6h4jevn2bbm5utLW15a5duyiRSCgWi3nu3Dl+++23NDY2ZsuWLdm8eXN6eXlVyHUQi8Vs\n3rw5N23aJHeZfv36cceOHVmfO3TowNOnT2fNFT948IC1atWS+/4ICwvj559/zq+//poLFixgzZo1\nefny5SLLbd68mdbW1nzz5o3ctiv4dFB41lJQbYmMjIT/KX+wAWXxT9sB0MtItIcs3F14tgLHAbhB\nFjcVADQA9cbqePHqRbUOUK6srIwOHTpg165dePr0KRwdHTFixAjUr18fa9euRVxcHBYsWABbW1v0\n7dsXg4cPRtKAJCB/t8+5KgfSOqUh3Dwcbt3c8PjxYwwePBjdu3dH3759ERwcDEtLS0ybNg21atXC\nd999B1tbW9y8eRMBAQFo164d0tLSim6nDPDx8YGamhpGjx5ddOYMbty4gebNm2d91tLSQlJSEtLS\n0qChoQEnJyfo6enh+vXrctVnbm6OS5cuISwsDLdu3cLatWsxYMAArFy5EizEm/A333wDT09PdOrU\nCZGRkXLbr+DToPr++ij4z3P+/Hmo2aoBgnwSEwHEADDJ+BwMWZi2ujmzpTqk4sCxA+VpZoViYmKC\nmTNnIiQkBGvWrEFAQADq1KkDDw8PjBkzBtduX0NS6ySgFmTB3H+FLN7u7wAuZVQiAbAHwGoAiwG8\nAtLapSE4LBhNmzaFk5MT9u7di5cvX8Le3h7ffPMNjI2NcfHiRdy+fRuzZs3KCthgYmKC9+/fl/t5\nh4WFYfHixdi4caPcD1VhYWFITk7OEYhCKBRCJBIhNTU1K+TiwIEDsWfPHrlt0dbWxpEjR2BhYYGf\nfvoJR48exc6dO+Hu7l6oS9Np06Zh6NChcHNzQ2xsrNztKaj+KIRYQbUlNjYWYkE+8V4lkIlMQ8hi\nyaYCOAugaz6VaAHvI9/j3r17ePr0Kd69e4fY2FikpKQU2oOp6igpKaF9+/bYuXMnnj59ChcXF4we\nPRoJ8QlAg4xMXwDwBDAXsqDugZDF5gUAKwD98K9Df2UgvXk6tI204evri5EjR0JNTQ3Hjh1DcHAw\nFixYAHt7+zx2mJqaVogQT5kyBePGjYOjo6PcZW7cuIFmzZrlCMQgFAqzesSZQuzu7o69e/fK7V8a\nkMXC3rx5M/r27YuBAwfijz/+gKmpKZo2bYoHDx4UWG7hwoVwc3NDt27dcsS0VvBpo1p0FgUKqib5\n9nwImQirAOiWcewCZOKjlzc7CCQkJmDEiBFISkrK8UpPT4dAIIBQKMzxyn2stHk0NTXLdWjcxMQE\nM2bMQGR0JFZfWI10jXRZgmmujCoAhBnvLTKOZQ8W5Ai8P/kea7evRf/+/eWKJFQRPeKjR4/i3r17\n+Pvvv4tVLlOIs6OlpQWRSJRDiOvVqwcjIyMEBATgiy++kLt+JSUlzJ8/H1ZWVujcuTP27duHli1b\non379li1ahW++uqrrLxisRhBQUGIjo5Ghw4d8OzZM/Ts2RMnTpyAQJDfkI+CTwmFECuothgbG0M1\nMdctfBhAEmQ9vExtewkgHsDNjM8iAHsh6xGaA/af2ePerXt56pdIJEhOTs4S5ux/5/c581hUVFSR\nebJ/Tk1NhaamZokEvThlTp49ifR66TlP8h8AQZCNInQFYFHIBVcFNJw08OHDB7nD+ZmYmCAqKkqu\nvCUhMTERkyZNwpYtW6CpqVmssjdu3MD06dNzHBMKhUhISICqqmqOh6PM4eniCHEmI0aMgLm5Ofr3\n74+1a9fi3Llz6N+/PwICAjBnzhxs274NazasQZpqGpT1ZG0ykUiKSoJzfWf4n/SHra1tsdtVUH1Q\nCLGCakunTp2Q7pEumw/WBnAUQDSAEch5Z4+ETGgy2QTgSwB2gMBfgOEDh+dbv4qKCrS1taGtrV0u\n9mcilUqRkpJSqFjnJ+ixsbFyPRhkfZYkAbnDIHeHbOTgNYDdkAlxzYJtTVNPQ0xMjNznVt5D0wsX\nLkS7du3QsWPHYpWTSqW4detWnh5xphDnDt3o7u6e1ZNVUVFBcXFzc8OZM2fQo0cPTJkyBYGBgXBt\n6wqfuj5Qb6iO1N6pgHmuQtHAyxsvYe9sD89Jnvh1+a/VelGhgoJRCLGCaou+vj4GDBiAnUE7IXGW\nALchu6N/zZapJwCXXAWVAWgCEAN8TIz+Wv5VtuWBsrJyVu+1PLF1tMUL6Yu8CUoAagNwAnAfhQqx\nOEWMuXPnYtmyZTA0NISRkVHWe/a/M9+1tLQQFRWF2NhY6Ovrl6mQ3LlzB35+foXOuRZESEgIjIyM\nYGxsnON4pr2Zw9KZfPbZZzA1NcXVq1fRpk2bEtlbv359BAQEoGvXrvDb5YeXsS/BCUSqfmr+BYwB\ndiPYjli7Yy1Cw0Oxy3eX3KMRCqoPCiFWUK2Z4TkDBzodQFLjJNkKX3mYKntTOa+C7j265/kx/lQx\nMzPDi7gXBQ8/SwGoFV6HTpoOvH298eWXXyI2NhYxMTF53h8/fpzjmFgsRp06dSASiWBgYJBHrAsT\nckNDQ2hra+cRH7FYjG+//RbLly+HiYlJAdYWTGBgYJ7eMCDrEScmJuYRYuDf4emSCjEA1KpVCyNH\njcTspbMhHSOVzckXhRAQjxDjwPYDmDt/LpYtXVbi9hVUTZRYnZeGVlM+fPiA7Vu3wtfbG6GRkUhO\nS4O+lhaaNGmC8TNnokOHDoqn3mIwftJ4/HX6LyS5JxUpJFncBwwvGyLoVhAsLS3L1b6qwrZt2zD5\n18lIdE+UzZO/hGy/tSqAF5DNm4+ArEcshmzh21oAvQFYA0gGBJsEiHgXAV1dXbnbtbGxgb+/P6yt\nrREXF4eYmJh8BTzzPfex9PT0POIcERGBsLAwjB8/PkvEc+cpbJHTxIkTYWdnh2nTpuW5RkePHsWt\nW7fw+vXrHGlPnz6Fq6srQkNDSzQ8DQApKSkwtTBFwqAE2Sr1FwBSINvz3hH/bq97BOAcZGsbdDPS\nagKq61UR/jb8P/Pw+F9B0SOuQD5+/IhZkydjz9696KqsDK+kJHwG2TbYuJQUnDp1ClOvXkW6nh4W\nLV+OIcOGlZstd+7cwfZNm/D22TMkiUTQMzDA561b4+sxY2Bqmns5bdVm3e/r8H7Ye5zceRKi3qL8\nV0dnIgGUbypD97Yuzp0+958RYQAYNGgQJk+bDMQC0IBs8dqxjERDyLYrZQ5LrwPwMePvjMXIyi2V\nMWjQoGKJMPDvPLGdnR1MTU2LfX+lpKTkEOmQkBBMnz4d48aNQ1xcHJ4/f55HyGNiYqCqqlpgb/vI\nkSMYPnw4Dh8+nCNNQ0MDIpEo3x5x3bp1YW5ujsuXL6Ndu3bFOodM9u3bB5pTdr31AHyd8R4C2YPQ\nBMgeJg8AGATALlvaVEBiJ8GIkSNw/J/jJWpfQdVE0SOuIMLCwvClqytahIZiSWoqahSQj5D5Vfha\nKMRwT08sWrq0zHrHJLFz506s/flnhL18iW9SU+EokUAA2W/uWU1N7AfQ7csvMXPRIjRs2LBM2q0I\npFIpFv24CL+t/A3KdZQhaiCSeY7KnJKMB1TuqkD9njrq2dfDvh37cjhy+K8wedpkbL68Gak9UnNu\nTSqKRED4pxDXLlxD/fr1i9Vmz549MWbMGPTq1at4xhZAnz590KhRIyxcuLDAPCQhEony7W1HRUXh\np59+wuDBg/Hhw4c8PXElJSUoKyvDxcUlj4DfvXsXycnJmD59eo40fX19uXrJLo1d8MD+AeCQT6I3\nZN7htAHsAjAzW9oKAENlfyr/rYz1q9Zj3Lhx8l4yBVUcRY+4AoiPj0fXNm0w4M0bLBCLC/39UwLQ\nFsC1pCR0+P136BkYYNrMmYWUkI/09HSM9/DArUOHsEQkQjf86+kxkyEpKfACsO3wYXT298e6LVsw\ncNCgUrddESgrK2PJ4iWYNWMW/v77b6z4fQXe7HgDdS11SNIlUFZSxpChQzD99+lwccm9euu/w0+L\nf8LxFsfx+sprSFwlRRcAgGRAuE8IzwmexRZhoGy3MB08eBBPnjzB7t27C82npKSUteLdysoqR1pg\nYCAOHz4MX1/fPOXOnj2L6dOnQywWw8fHJ49IGxoaYs+ePVBTU8sxzB4fHw89Pb1C5711dHTw8N5D\noEc+Bmd6gjOFzImKMoAnkA1VP4Hsl7qG7F1doI7FixdDR0cHw8px1ExBxaEQ4gpg8dy5aPTuHQzF\nYjSDbGHqUABbsuVJBjADshEoMWT+J44nJaHxokXo2bcv7OzsStw+SXw7YgTCDh/GleRkFLYZxwDA\nNBIdkpLQ1cMDGpqa6N27d4nbrmh0dHQwfvx4jB8/Hmlpafjw4QM0NTWho6OjmHcHoKenh0tnLuGL\nDl8g7FQY0lzTCl8wFA4Ijwkxos8ILF2ytERtltUWpvj4eEyZMgV+fn55thcVh4IWagGy+yc9PR26\nurpo2rRpvnmCg4Mxa9YsdOjQIeuYRCJBXFxcgfPeDx8+RFhYmGzYOffC8eye4IwyjvWE7MdAAtkT\n80BkrX9Q11HH+pXrMXHiRGhra1er76eC/FEIcTkjEomwfds23ElNxV0ACwCcgkx4szMGskWrTyAT\nwyDIvAyOFovh8/vv+HXt2hLb8Ofmzbh/9CiGJiejPfI+CKRnfL4F2XbSCwDaADiSnIwvhw5F4ydP\nUKtWrRK3X1moq6tXu/nuiqBmzZq4G3gXYyeNxb7V+6DipIL0Rukyd6CqkLkEfQ6o3VCDrkQXPy78\nERPGTyhxeyYmJggNDS213fPnz0fnzp1LtWoZkDnyyC6i2REKhUhOTi50JXbm6unsdaioqMDY2LjQ\nRVSxsbGwsLZAKrJtV8rPE1wYgCOQzR+bAwgFsBPAVwDMAEoIBwcHHDt2DN26dYOWlhY6deokx5kr\nqKoodoeXM7t27UJrJSVYA+gDoBdk6zSy8wSyNTObMtKUAHyekTY2PR3bt21DcnJu6ZYPkli1dCl+\nFYlgA9mDQH67Zl0B+CGnT4EmAAZLJNi0YUOJ2lZQddHX18fi7xfDSM8IC/otgOVFS2iu04TKchVo\n/6GNZtHNYApTLJq3qFQiDJTN0PSNGzewZ88eeHl5laqezLqyR1zKTqYQ57dYKxN3d3ccOHAAYnE+\nfs4LQU9PD5I0Sc6n8ExPcIOQ0xOcJf79MtaELEjHCwBiIPVDKkxMTNCkSRPs378fQ4cORUBAQLFs\nUVC1UAhxObPTxwdfi0SF5rkB2e6QhZAFC2oA2UMyIFtv1FBZGadOnSpR+5cuXQJjY9EWBT8IqAGY\nAqAV8t4Q41NTsXnDhgoLZaeg4li5ciUmTZqEBfMX4M3TN0hOTIY4XYyEuAQEXgrExYsXsXTpUpw+\nfbpU7ZTW33TmnuFff/0Vhoa5797iERsbi4iICDg45LdaSubQIzU1tdChbxsbG1hbW+PixYtyt5ue\nno5Tp06hhkUN2XAX8K8nuCHIOTZZA7KhqYiMz+EA3mQcfwyoaahlPQS4urrC19cXffv2xd27d+W2\nR0HVQiHE5UxEZCSK8hL7DrLh4szwuWsh88r4JCO9Tno6IiIiCihdOH+uXYtxIlGxFshmxwmAvVSK\nEydOlLAGBVWRiIgI7Nu3DxMmFNzbtbW1xZ49ezBs2DA8fvy4xG2Vdo549erVMDU1LZOFSbdu3ULj\nxo0LXOEsFAqRkpJSaI8YkC80Iklcu3YNkyZNQs2aNfHTTz9hYN+BEN4TAh8g8wQXAZknuJ8zXvch\n27LUGjKXoz9DFpLSFYAtoH1PGz3ceqBJkya4cOECAKBLly7w9vZGt27d8OjRI3kvhYIqhGKOuJxJ\nS09H4V9p2T5idQDzIRuWbgOgPQB/AJ8B0JBKS9wjffHkCb4p5Q61BqmpePnyZanqUFC1WL9+PYYM\nGVKkY4g2bdpg+fLl6NGjBwIDA2FkZFRo/vwoTY/41atXWLZsGQIDA8tksV1hC7UAmRCnpqZCTa1w\nzzDu7u5o2rQp1q9fD1XVnD+jjx8/hp+fH3bs2AE1NTUMGzYM165dg62tLUji8InDePH2ReGe4Fpn\nvLLzElD9oApfX19cuHABQ4YMwdSpUzFr1iz069cPiYmJ6Ny5My5duvSf3JpXnVH0iMsZfV1dFBXi\nO3NDSHa5zP6TE6umBn19/RK1LxKJoFWikv+inZ4OURHD6wqqDyKRCD4+Pnm8ShWEh4cH+vXrh379\n+pXogTBzjri4LgtIYuLEiZg+fXqZRR/KL/RhJo8ePYK3tzeUlJTw5MkTbNq0CeHh4fnmrV27Nmxs\nbHD+/HkAQHh4OFatWoUmTZqgQ4cOEIlE2LNnDx49eoQFCxZk2a+kpIQ9f++B8IxQNvwsL5GA4LAA\ne/xkW6fc3Nxw48YNHDx4EH379sWHDx8wYsQIzJkzB506dSqTxXEKKg6FEJczrTt2xNGMJ2YJZN7s\nJJBtUUrN+LsNZCukf8n4fBWylctdMvKfFovRqlWrErWvq6OD0oYXj1dXL7Y3JQVVl23btsHV1RV1\n69YtOnMGv/zyC/T19TF+/PhiC6pAIIC6unqxA93v3bsXr1+/xnfffVescgVBMs9CLbFYjH379qF9\nkybo0Lgx7s+ciTlSKbrcu4fL06bBsU4dDOzeHRcuXMhz3r169cJPP/0ENzc3ODo64n//+x+WLVuG\nt2/fYuXKlWjcuHG+vfjGjRvj0N5DEB4QAneQMzJYbqQAHgKCHQL8seEPuLm5ZSVZWlri0qVLsLKy\nQpMmTRAUFISJEydizJgxcHNzQ3R0dCmvmIIKgwrKlcePH9NUU5MpABcDVAKonO31A0ACDAbYEqA2\nQCeAhzOO+wLs0qpVidsfN2oUl6iokADFAJMBzgU4HGBKxjECTM1IqwXQPyONAKUAG+ro8PTp02V4\nVRRUFmKxmDY2Nrxy5UqxyyYkJLBBgwb08vIqdtk6derw2bNncuePi4ujhYVFiewsiFevXtHc3JxS\nqZQkGRsby7ZNmrCltjZ3ZXwHmOv1AeBaJSXaaWnxm6++YmJiIg8fPkx3d3dqa2tTXV2dfn5+TEpK\nKrY9d+7cYYNmDSgwFFClvQoxBcT3IOaDmAoqd1am0FTIus51eeHChULr2rFjB42Njbl161aS5Lx5\n89ioUSN++PCh2HYpqHgUQlwBdGrenNvz+ZIX9ZIAbKatzcOHD5e47bt379JSKGR6EQ8CtXMdVwb4\nGmAAwDqmppRIJGV4RRRUFvv372eLFi2yxKi4vH79mhYWFsW+J5s1a8aAgAC5848bN45jx44trnmF\nsnv3bvbu3Zsk+fHjRzaws+M0dXVK5PguxgPsoKJCXTU1fvHFF/Tx8WFMTAxbtGjBkydPlsqu//3v\nf/QY40F9E32qqKlQRVWFuka6HDBkAAMDA+X+XwUHB9PBwYFjxoxhUlISJ02axNatWzMxMTHf/GFh\nYfzf//7HoKAgvnnzpsT3hILSoxDiCuDKlSs0EQj4oJhCPEdNjS3r12d6enqp2m/p7MyDJXgQIMCB\nqqoUampy6tSpDAsLK6MroqCyaNmyJfft21eqOq5fv05jY2MGBQXJXaZ79+5yi3dAQADNzc0ZGxtb\nUhPzZcaMGVy6dClJsmeHDhyvoUFpMb4LKQBdBQIumjs3q86VK1fy66+/LjMbpVJpqQQxPj6eAwcO\nZKNGjfjs2TOOHDmSbm5uTElJIUkmJSVx69atdKjvQA0dDerW0qWupS4F+gJa2lpyzZo1/PjxzFVj\nPwAAIABJREFUY1mdjgI5UQhxBfH3X3/RXCDgDTl7wrPU1elgZcX379+Xuu1Dhw6xjlDIiGKK8FGA\nZnp6fPDgAT09PWlgYKAQ5GrM1atXaWNjQ7FYXOq6du7cSSsrK4aHh8uV38PDg3/88UeR+dLS0ujs\n7Mxdu3aV1sQ8uLq68syZMwwKCmJNoZBp+dzz7wD2BGgI0BzgpIzvY2b6a4CGQmFWL/PNmzc0NDRk\nampqmdtbUqRSKVevXk1TU1MePnyY/fv3Z58+ffj3339TW1+b2k7axFAQC0EszngtAjES1GqoRYGO\ngL+t+q2yT+M/hWKxVgUxbPhw+OzahS+FQgwVCnEFyLFKGgASAKwHYKekhGvOzrhy506ZxB3t3bs3\nRk6bhs5CIeRdS3kcgIdQiEOnTsHJyQmrV69GcHAwSMLJyQnTpk0rcEWpgqrJr7/+iunTp5c4lm52\nBg8eDA8PD/Tp00cur2/yetf67bffYGlpiYEDB5baxuyIxWLcvXsXTZo0gfeqVfg2NTXf0NVTIHP3\nHAGZ342LALL7lbMC4KqkhB1+fgBkC6YcHBxw9uzZMrW3NCgpKcHT0xMHDx7ExIkTUbduXTx68ggj\nx49E4qBEWTxqe+RcqqsEoA4g6iNCskcyFngtwLTv5FtVr6AMqOwngf8acXFxXL1yJe0tLFhPW5u9\ndXU5SEeHXfT0aKCpyW5t2hAAT5w4UabtSqVS/vLjj7QQCvmrkhKjC+gF/w/gOA0N1tDVLXBOLyws\njFOnTqWBgQE9PT0VPeRqQEhICI2NjQucLywJUqmUgwYN4pAhQ4ocTvXy8uK0adMKzfPs2TMaGRnx\nxYsXZWZjJvfu3aODgwPj4+OpLxAwtID73x7giWyfZwIclyvPKYCf29ll1b169WqOGjWqzG0uCyIj\nI+nk7ERlLWViarYecFGvWaDQQqjoGVcQinjElQRJ3Lx5E6GhoUhOToa+vj4aNmwICwsLdOzYEc+f\nP8erV6/KvN3AwECs9/LCkWPH0EtZGY7JyRBC5ujnjLY2nqmq4tuJEzF24kSYm5sXWld4eDhWrFiB\n7du3Y8SIEZg9e3aRZRRUDhMnToShoSGWLFlSpvUmJyejXbt26N69e6Hxgf/66y+cPn0639CDgOz7\n0KVLF7i5uWFmGYT9zM3mzZtx+fJltGnTBssmTMCz9PR883kCiAOwEUAsgC8BLIXMNWwm6QAEyspI\nF4uhpKSE0NBQuLi4ICIiokiPXBWNWCyGmaUZYrrHADch81edDlnErc8h2zuJjOPHIQtMXgtAbwBS\nQHOLJiLeRUBPT68SrP8PUbnPAQry4+3bt1RWVubevXvLrY2oqCiuXbuWs6ZP56RvvuH8efO4b98+\npqWlFbsuRQ+5avP+/XsaGBjIPZ9bXMLCwmhlZcXdu3cXmOf48ePs0qVLgel+fn6sX79+ie6/wpBK\npbx79y5dXFyop6dHOzs7NtXULHBdRCzAzwGqQrZzwKOAfJoqKvT19eXp06cZGBjIxo0b86+//mJi\nYmKVWn186NAh6tjpyHq5EzK2Ry0GMQmEFoivZL1faIAYmLF1qhWIWrJ8woZCrlmzprJP45NH0SOu\novTo0QO3b99GWFhYtYmjGx4eDi8vL2zbtg3Dhw/H7NmzYWFhUdlm/edZsmQJXr9+jT/++KPc2ggK\nCoKbmxv++eeffD1X3bp1C99++y3u3LmTJy02NhZOTk44dOhQgVGRisurV6+wY8cO+Pn5QSQSITk5\nGWvXroWNjQ3GduyI2/Hx+ZZrBqAfgO8gW7PhAZmb2eXZ8kghC5TSq08fxMfHIz4+Hq9fv0ZCQgKU\nlJSQlpYGXV3drJeenl6+fxeWpqenB01NzVJ/91u1a4VrRtf+dd+XSTSAvwAMhszBfRD+DcuWBmAF\ngHEAEgHLy5Z4/fR1tfkdqo4ohLiKEhUVBXNzc2zZsgUjR46sbHOKRUREBFasWKEQ5CpASkoKateu\njXPnzsHR0bFc2zp8+DAmTJiA69evw9LSMuu4WCzGgQMHMH78eKxbtw4GBgZo1qxZViSlMWPGQEND\nA+vWrStV+zExMdi7dy/8/Pzw6NEjuLu7Y9iwYWjQoAHMzMwQHByMo0ePYt7UqYiSSiHIVT4agClk\no7M6mecEWejQ/2XL9xBAZwMDvIv913ltWFgYnJycEBERAWVlZSQkJODjx49ZQl3Q34WlicXiIsW6\nsL+FQiEsrSwhnSv9N6rAP5CJrgRAVwBNAZyA7Omie7aT3ACZw3sHQLBGgMdBj2FlZVWq/4+CglEE\nfaiimJqaom/fvpgxYwZGjBhRrZ5GzczMsHLlSsyaNQsrVqyAs7OzQpArCV9fXzRp0qTcRRiQrc5/\n8uQJevXqhcuXLyMhIQF/+Phg07p1qJGejkYJCTg0dixilJVxOzUVfXr1QsuOHXHixAk8fPiwRG0m\nJSXh6NGj8PPzw6VLl/Dll19i1qxZ6NKlC1JTU3Hx4kV8/fXXIIlGjRqhQ4cOsLSwwJ5375D78dYY\ngAUAHwDTIesRb4csLGl2NqqrY9SYMTmOWVhYoH79+vD390fPnj1haGhY6pCNaWlpcgl2aGhovvk+\nfPgAqbI05698dwDdALyCLKqTOWQ94NwO6TUg88GrBKjpqCEmJkYhxOWIokdchYmNjYWpqSlWr16N\nSZMmVbY5JSYiIgJeXl7YunUrvvrqK8yePRs1a9asbLM+eaRSKRwdHeHj44N27dpVSJskMXr0aNy9\nfRuvQ0IwCMD4lJQ8I6PvAWxRVsYqEnU//xz+V65AIMjdR80fsViMc+fOwc/PD0eOHEGzZs0wbNgw\n9OjRA48fP8bp06dx5swZBAUFoVmzZtDQ0IC2tjaGDRuGNWvWICgoCFaJibibTwCLGwBmAHgA2fBz\nB8jCkppkpIsAWGlq4u6TJ3mEaf369bh+/XqBC9IqmtjYWFhYWyD1u9T8MxyDTKSJgnvE9QDdLbq4\ndOQSGjTI/UiioKxQ7COuwhgaGmLo0KGYP38+JJLCPMNXbczMzPDbb7/h4cOHUFNTg4uLC6ZMmaKI\nEFPOHD9+HNra2mjbtm2FtamkpAQbS0vEPHiAmykp8M5HhAGZsM2WSvGahNXDh+jyxReF7kcmiVu3\nbmHatGmwtLTE999/j4YNG+Lw4cPo0aMH9u/fDxsbG0ycOBEikQgLFixAZGQkjhw5gsjISFy+fBk/\n/vgjvv76a7x79w4JRkbYmU87zQBchmzldBSAXfhXhAHgBzU1tGvbNt/eYf/+/XHs2DGkpKQU44qV\nH3p6ehCniGU92/zInOw2hWzjdCZpkC0ZN5HlSfuQVib+DBQUQqUtE1MgF3FxcVRVVeUvv/xS2aaU\nGeHh4Zw+fToNDAw4efJkvnv3rrJN+iRp27Ytd+zYUaFt7tqxg7WFQoYVw4ObBOBggYCDevbMU9+z\nZ8/4ww8/0N7enra2tpw+fTpXrFjBkSNHsmbNmrSysuLo0aO5a9cuRkVFZZV79+4d58yZQ2NjYwoE\nAvr5+eVYzXzv3j2aaGnxeDHs9FJRoX3NmoV6u2vXrh0PHTpUthe1FHTq1onoAWImiAEg5mV41Poq\nY6X0mIw0TRCD8q6axlDQ3tm+Sq0E/xRRCHE1YMyYMdTS0sryF/upEBERwRkzZtDAwICTJk1SCHIZ\ncuPGDVpZWZX5dqDCkEgktDMz4+VcApYKcDRAa4C6GduDTuTKkwywplDIe/fuMTIykmvWrGHz5s1p\nYmLCHj16cNCgQXRycqKBgQH79evHDRs2MCQkJI9A3Lp1i8OGDct6yLt27RoNDAzyFZKAgADW0NXl\nD8rKjCpEgJ8C/FpdnY7W1nz9+nWh12DDhg0cOnRomV7X0uDv709tS22Z2FpnCK4mCAsQQ7I58BgB\nwhiEGojayHL+oeWkxT///LOyT+OTRzFHXA1ISEiAsbExZs6ciZ9++qmyzSlzIiMj4eXlhS1btmDY\nsGGYM2eOYg65lAwePBjNmzfHtGkV56bQ398fcwYMwO2EBGRfWpgE4FfItgJZQrZwdwhk87DZB3gX\nKyvD18wMUfHxsLGxgUQiwcuXL9GsWTO4ubmhU6dOaNy4cR4XnRKJBEePHsWqVavw8uVLTJ48GWPG\njIG+vj6OHj2KdevW4dSpU/na/Pz5cyydPx8HDx1CD2VlDEhKgglki4rfAdiurY07ADy++QZzFy2C\nvr5+odcgMjISDg4OCAsLk3vOuzyRSqWoWacmIlwjAPnDT8uIAIQ7hHgf/h5CobBc7FMgQyHE1QRP\nT09s2rQJ0dHR0NLKvcTx00AhyGXDq1ev0LhxY7x69Qo6OjpFFygj+nTqhB5nz+IbOfI2ALAYQN9s\nx8IA2AKoU68eunXrBjc3N3zxxRcF3u+JiYnYunUrfv/9dxgaGmL69Ono378/1NT+9SK9YMECACjS\no1hsbCy2bdmC0wcOIC4uDqoqKjCuUQP9R42Cu7s7NDU15TgrGR06dMCUKVPQp08fucuUF/fu3UO3\nbt0Q9SEK4pFioIacBT8CQl8hNq7eiK+GfVWuNiqAYo64upCYmEhNTU16enpWtinlTkREBL/77jvF\nkHUJ8fT05KxZsyq8XSMtLYbLMdcaAVAA8Ek+ac11dHj58uVC23nz5g1nzpxJIyMj9u/fn1euXClw\nDrNz5848evRoeZxugXh7e3PIkCEV2mZ+/PnnnzQ2Nqafnx937NxBgb6AGJYRaakwP9PfgEIjIb1+\n9arsU/jPoBDiasTs2bOprq7OuLi4yjalQsguyBMnTuTbt28r26QqT2xsLA0MDCrl4UVFWZmpRYhw\nOsBOAMcXkN5dT49HjhzJt/7AwEAOHjw4KxxnUcEhpFIpDQwMGBERUR6nWyCRkZHU09NjUlJShbab\niUgkooeHB+vVq8fg4OCs42fOnKG5tTm1rbSJnhkLtzLFdz6IfqCOnQ4NTA24c+fOSrH9v4pCiKsR\nSUlJFAgEHD16dNaxjx8/8uXLl3z9+nWZRtapSkRGRioEWU6WLVvG4cOHV0rbAjU1JhQiwlKAgwB2\nByguIE8nPT2eOnUqq06xWMx9+/axdevWtLa25m+//cYPHz7IZU9ISAitra3L6WwLp2PHjty/f3+F\ntxsSEsL69etz6NChTEhIyJMukUh46tQpduzakSqqKtTQ1qCmriaVVZTZ7Itm3L9/f4Uu8FMgQyHE\n1YwffviBqqqqXLt2LZs7OlJLTY1WWlqsKRRSoKrKLq1a8fDhw2US/L2qERkZyZkzZyoEuQBSU1Np\nYWHBoKCgSmnfxtSU9woRYg+AHTNWURck1DZaWrx37x4/fvzIVatWsU6dOmzZsiX37t3L9PT0Ytnj\n6+tLd3f3cjrbwtm4cSMHDRpUoW3u3buXJiYm9Pb2lmu7UXp6OqOjoxkVFaUQ30pGIcTVDJ8NGygA\n2E5VlUdz9SySAf4FsKWODq2MjXP0LD4lsgvyhAkT+ObNm8o2qUqwbds2urm5VVr738+aRU919XxF\ndizAlgBFhQj1eYCfWVhw2rRpNDQ05MCBA3nt2rUS2zN58mR6eVXOPGdUVBR1dXUpEonKva3U1FR6\nenqyTp06vHXrVrm3p6DsUQhxNeLH+fNpKxTygRwLYs4BrCEQ8O+//qpss8sNhSD/i1QqpbOzc6U+\nfL169Yr6ampMzHUvvgaolLFASzvjpQNwR658PVVUqCUQcMaMGXz16lWp7WnevDkvXbpUBmdWMtzc\n3Mo1lClJvn79mi1atGDPnj0ZGxtbrm0pKD8UQlxN2LhhA+sKhYyUQ4QzX8EATQUC+vv7V7b55Upk\nZCRnzZr1nxbkkydP0sXFpdI8IN27d4/t2rVjDS0tLlZRkfsezXzdBqijplZmi8xSU1MpFAordd3E\n5s2by3Vo/MSJE6xRowaXL19OiURSbu0oKH8UQlwN+PjxI/UFAoYU8CO2E2A9gFoA7QBeyZZ2AmBd\nC4v/xBc1KioqS5DHjx//nxJkNzc3bt++vcLbjY6O5oQJE2hiYsL169fz5cuXtDQy4jYlJblFOASg\nsbIy/fz8ysyumzdvsn79+mVWX0mIjo6mrq5umT8MiMViLliwgBYWFrx48WKZ1q2gclAEfagG+P71\nF9yUlfN1jHMawFzIwrUlArgEwCZbehcAmvHxOHfuXPkbWsmYmJhg+fLlePLkCXR0dNCgQQNMmDAB\nb9++rWzTypV79+4hODgYgwcPrrA2xWIxNmzYgHr16kFJSQmPHz/GhAkTULt2bZy8dAkLjIywQEUF\nHwupQwLgEABXgQCfNW8OHx8fJCQklIl9gYGBaNasWZnUVVKMjIzQsmVL/PPPP2VWZ1RUFLp06YIr\nV67g9u3baNOmTZnVraDyUAhxFYckNnh5YYJIlG/6YgALIYvvDcjCi5pnS1cCMCExERtWrChPM6sU\n2QVZV1cXDRs2/KQF+bfffsOUKVOgrq5eIe1duHABjRo1wt69e3HmzBmsW7cuR+xdR0dHXAsKwm4z\nM9RSUcE36uq4DiAcQDSAJwCWKSujtro6vtXUxF+HDuHSlStwdHRE586d8eHDh1LbeOPGjUoXYgAY\nOHAg9uzZUyZ1XblyBY0bN0aLFi1w+vRpmJmZlUm9CqoAld0lV1A4z58/p4VQSGk+Q3oSgOoAl2UM\nSVsCnAQwJVe+jwDVVFTKbf6wqkdmiYqK4uzZs2lgYMBx48YV6bi/OvH27VsaGBhUiJOXV69eccCA\nAbS2tubevXsL/b8HBgZSX1+fzs7ONDE0pLWhIXVUVKiroUEbU1OOGjSI169fZ4MGDXjw4EGSsvvI\n09OTjRo1YnR0dKlsdXBw4L1790pVR1kQExNDXV3dfPf0yotUKqWXlxdNTU35zz//lKF1CqoKCiGu\n4ty4cYON9PTynVsLy1iN2hRgJMAYgK0Bzs8nr1BVlfHx8WViU1RUFH/56Sc61KxJLXV1KispUV8g\nYPsmTbhnz54quyfxUxTkmTNncurUqeXahkgk4sKFC2loaMgffvihUI9RsbGxXLZsGTU0NFi3bt0c\ne9rbtm3Lc+fO5ch/7NgxOjo6ZuWRSqWcNWsWXVxcSuwR68OHD9TW1i72vuPyomvXriX2VBUXF8c+\nffqwWbNmZbKSXEHVRCHEVZwbN26wcQFCHJchxL7Zju0H2CifvFpqaqUW4ri4OI4YMID6mpr8WiDg\ndYDxkLktjAa4G2BbHR2a6+tzzcqVVban/P79e86ZM4eGhobVWpA/fvxIQ0NDvnz5slzql0ql3L17\nN62srDho0KBCr9PTp085adIkGhgYsEOHDrS2ts4jhE2bNuX169fztNG6descC82kUikXLVpEBwcH\nhoaGFtvu06dP09XVtdjlyoutW7eyb9++xS53+/Zt2tjYcPLkyUxNTS0HyxRUFRRCXMV5/vw5axYw\nNM2M4ejsQnwgHyFOAKgM8LPPPuPAgQO5ZMkSHjx4kM+ePZN7NXVoaCidatfmBHV1xhSxCvY+wIZa\nWhw7cmSVXq2dKcgGBgYcO3ZstetxrFy5koMHDy6XuoOCgti2bVs2aNCAFy5cyDePVCrlhQsX2KtX\nLxobG3PevHl88+YNnZ2deejQoTz5HR0def/+/TzHL126xNq1a+cRm59//pl2dnbFflBaunQpZ8yY\nUawy5UlsbCx1dXXlfhCWSqXcuHEjjY2NuWvXrnK2TkFVQCHEVRypVEqHWrV4qQDRWwiwGcAogLEA\nXQEuypVnI8CaenoUCAS0t7dnq1at2KJFC1paWlJLS4tNmzalh4cHV65cSX9/f4aHh+fozX78+JEN\n7Oz4o6qq3FtS4gG2Ego5q5yHTcuC7D3k6iLIaWlptLKy4s2bN8u03vfv33PcuHE0NTWlt7d3vq5S\nU1NT6evry88//5z29vb09vbO8iC1ZcsWurq65jsaYm1tXWCghq5du3Lt2rV5jq9atYq1a9fm8+fP\n5T6H3r17c8+ePXLnrwi6d+8u1/asxMREDh8+nM7Oznz8+HEFWKagKqAQ4mrAmt9/52ChMF/BSwc4\nAaA+QHOAU5HTl68UYENtbZ46dYoikYj+/v6cM2cOmzZtSm1tbbZv357jxo3jnDlzOGHCBLZr145G\nRkY0MjJiu3btOGnSJH7ZsSO/UlMrsFceAlAT4PBcx6MB1hIKy1wsyov3799z7ty51UKQd+zYwbZt\n25ZZfenp6Vy7di1NTEw4efJkxsTE5MkTExPDn3/+mRYWFuzYsSOPHTuWY8RDJBKxZs2aeYafMzEx\nMSlw3vfOnTs0MzPLd8/thg0baGlpySdPnuRr98GDB7ng++855dtvOXP6dOro6FQ5V4/bt29n7969\nC83z6NEjOjk5ccSIERXiGlNB1UEhxNWADx8+UF9Tk8/l7I1mf50GaGdunu8QcVxcHA8dOsQpU6bQ\n2dmZ+vr67NWrF1etWsXz58/z1KlTXL58OXVUVfm0kDY6A2yTjxAT4C/KyvQop+HT8iK7IH/77bdV\nTpClUikbNWpUZnF2z549S2dnZ3bo0CHfoePHjx9z3Lhx1NfX56hRowoMKrF06dJCPUkJhcJCVw8P\nGjSIS5cuzTftzz//pIWFBR88eEBS5k3tx4ULWcvQkK10dLgI4CqAPwMcCFBfU5ND+/RhQEBAYade\nYcTFxVFXV5cfP37MN33nzp00Njbm5s2bq+zaCgXlh0KIqwnrfv+dnwmFfF8MEX4Cmb/pEydOyNVG\nREQEd+7cyW+++YY2NjY0NTVl8+bN2UFDo8A2dkIW2u6HAoQ4EqCepma+PayqTlUV5HPnztHBwaHU\n8+8vX75kv379WLt2be7fvz+HAEilUp49e5bdu3enqakpFyxYwPDw8ALrioyMpJGREZ89e5ZvukQi\noZKSUqE2h4SE0NjYuMB7xc/Pj2ZmZvz7779prq/PMZqavFvAfRkLcJWSEmsJhfxh/vwqIW49e/ak\nr69vjmMpKSmcOHEibW1teefOnUqyTEFloxDiasT8mTNpLxTysRwifBmgmUDArX/+WeL2Xr58ySb2\n9txVQBsfAdoDDAW4uAAhJsBuqqocMmQI/f39GRYWViV+FItDdHQ0582bV2UEuVu3bty8eXOJyycm\nJnLBggU0NDTkkiVLcmxHSklJ4datW1m/fn3Wq1ePmzZtkivA/aRJkzhlypQC00UiETU1NYusZ8yY\nMZwzZ06B6cuXL6dQSYmH5HwYDQf4uVDIuVVg8db27dvZrFkzftW3Lzs3b87WTk6spavL+s7OlX5P\nKahcFEJczfBet46GQiF7amnxBGROPTJ/dFIhi2jTAKCZri6PHTtW6vaaffYZrxXwI+cJ0Cvj78KE\n2FNFha1bt84x/9y2bVtOmjSJPj4+vHr1qtzB3iuT7II8ZsyYcts2VBjBwcE0MzNjcnJysctKpVLu\n3LmTlpaWHDx4cA5f3FFRUfzxxx9pZmbGzp0788SJE3I/MGX2ZN+/f19gnqioKBoZGRVZ19u3b2lo\naMiwsLA8aR8/fmRNQ0OOBtgEoAZkMY4z77OHGccNIFsz0TrjgTQKoJ1QyN27d8t1PmVNUlISf/np\nJ1oZGdERoA9kPuBPA9wFcLBQSH1NTY4ZPrxYi9IUfDoohLgakpiYyD/++IOf29lRV12dttrarK2t\nTS01NXZo0oSGhoZs06ZNmbT1uY0Nb+YjrncBOkG2WKwoIZ6lrMxFixaRlIlBeHg4T58+zZUrV9LD\nw4NNmzallpYWrays2K1bN86ePZu+vr4MCgpiSkpKmZxHWVKZgjx69Gj++OOPxS53584durq6smHD\nhjlCAwYHB3PMmDHU19fn6NGj850jLor+/fvzl19+KTTPy5cvaWVlJVd906dP54QJE/IcX7d2LQcI\nhTwI8DBkixSzC/FHgC/w7yLFNQBrZHw+AbBR3boVPhoTHR3NVg0asLdAwFtF9NwXKSuzhq4ur1y5\nUqE2Kqh8FEJcjZFKpXz//j1DQkL47NmzLDeH+/fvp7KycoHzdcWhQ+PGPJnPD8dqyOLKmgM0y/hb\nALBxPnmHKSlRVVWVZmZmdHV1pYeHB3/++Wfu2bOHd+/eZUJCAiUSCZ89e8aDBw9yyZIlHDhwIB0d\nHampqcl69erR3d2dP/74Iw8cOMCnT5/mu62moqloQQ4PD6e+vn6hPc/cvH//nmPHjmWNGjW4ceNG\nisViSqVS+vv788svv2SNGjW4ePFiRkZGlsimgIAAWlpaFjl8HRwcTAcHB7ltNjIyytE7lEqldLSy\n4vls99X8XEKc/ZUOcB3AzzM+SwDaaGkxMDCwROdZEhITE9mkXj3OUFPLMXJV2OskQBMtLd6+fbvC\n7FRQ+SiRZCW7u1ZQxpCElZUV7O3tcfbs2VLV9ePChQj38oJ3SkqO4ykA4rN99gLwGoAPAMNsx9MA\nWAsEOH3jBvT09PDs2TM8ffo0x/vz58+hp6eHunXrws7OLsd7rVq1EBYWhvv37+PBgwdZ79HR0ahX\nrx6cnZ3h4uKS9W5mZgYlJaVSnXNxiYmJwapVq+Dt7Y1+/fph3rx5qFOnTpm3M3/+fMTFxWH9+vVF\n5k1PT4e3tzeWLFmCYcOGYdGiRRAIBPDz88Pq1asBANOmTcPQoUOhqalZIntIwtXVFWPGjMHIkSML\nzXvz5k2MHz8et27dkqvuH374Ac+ePYOvry8AWcCDb7t2RXBiIjL/uwsAhALYkqusAQARAAsAZwHY\nZhz/VVkZD93dsWXXLrlsKC3jRo5E8p49aJqSgu0A7gMYmsvePwAsBxAJ4AsAfwIIADDdxARP372r\nsEAeCioXhRB/ohw8eBADBgzAixcvIJFI4O/vj9jYWACAsbExunbtCktLyyLrCQsLg5ONDV6npkK3\nkHw/AHgO4K9cx3cD8GncGOcL+QGWSqUICwvD06dPCxTp3AJtbm6OlJQUvHjxIkug79+/DwBwdnbO\nEmYXFxc4OTlBT0+vyHMtLWUhyKGhodj6xx94EhSEhA8foK2rCzsXFwwaNgxt2rTBtWu35YQ7AAAg\nAElEQVTXYGdnV2gdZ86cgaenJywsLLB69WoYGxvD29sbPj4+aNSoEaZPn46OHTuW+oHl4MGDWLx4\nMe7cuQMVFZVC8164cAGLFi3CxYsX5ao7ISEBdevWxenTp+Hi4oJNmzbh5tSp2JycnJWnICEGgGTI\nIpOdBnAn49g1ANMcHHD90SO5bCgNcXFxsLGwwJOUFARAFubuVIZdmfZeADAIwEUAdgCmAHiYcby9\ntjbG//knBg4cWO62Kqh8FEL8iSKVSlGjRg1oisVITklBLyUl1EhNBZWUEKahgWMSCdq6umLi7NlF\n/igP7N4drU6cwNRi3ipSAK7a2pi6ZQvc3d1LfB6ZIp27N51bpG1tbWFqagqJRIK4uDg8e/YM9+/f\nx8OHD2FkZJSn9+zg4AANDY0S2VUYJRHkgIAArFyyBOcuXMBgEi1SU6EDWYzpW+rq2C6VwkBfH1v2\n7EH79u3zrePFixeYMWMG7t27h5UrV8LW1harV6/GgQMHMHDgQEydOhX16tUrk3NMT0+Hs7Mz1qxZ\ngy5duhSZ//jx41i7di1OnDghdxurVq3ChQsXcPjwYaxYsQIR33+PlWJxVnphQgwABKADWQ+zPoBg\nAO41a+Lhu3dy21BSVv32G24tWAC/Qh4cZkImzOsyPocDqAnZA+0tAOsbNcKF27fL3VYFlY9CiD9B\nRCIRhvTujRdXr+K7lBQMAiDIlScRgB+A37W00KBTJ2zbvbtAUXrw4AE6tGiBgyIRWhfDjrnq6rjo\n4ICLt25BTU2tZCdTCEWJtK6ublYv2tDQECoqKhCJRIiIiMDjx4/x4sUL1KlTJ49A16lTp8genjzE\nxsZi1apV2LBhA/r27Yvvv/8+X0Fev2YNls6diwVJSfgKMvHIjQjATgA/CIWYNG8eZs2bl/XwlJiY\niGXLlsHHxwdTp06Fi4sL1q9fjwcPHmDixIkYO3YsjI2NS30+2dmwYQMOHToEf39/ufLv3bsXu3fv\nxr59+/KkJSYmIjQ0FGFhYTne3759i3/++QeGhoZ4//49hkkk2J6tXFFCLAagC+B/kPU4AwFMqlsX\nN0NCinGmJeMzc3P8GRGBL7IdK0qIQwFYAjgM4EsAlgIBrt6/D1tbWyj4tFEI8SdGSkoKOrduDZuH\nD7E5JQVFyV8ygOECAURNmuDI2bMFCuapU6cwvF8/+CYloaj+jxTAdBUV+NeqhUu3bpW5CMhDpkjn\nNyf97Nkz6OrqwtbWFsbGxtDU1ERaWhpiYmLw+vVrREdHw9HRsczmnwsTZO9167By9mz4JyVBnkHs\nUABdhEKM+P57zJw7Fzt37sTs2bPRqlUrNGrUCNu3b4e6ujqmTZuGwYMHl0uPPyEhAfb29jhx4gQa\nNmxYYL709HSEh4cjLCwMf//9N27evIn27dvnEVyxWAwLCwvUrFkzz/udO3dw8eJFzJkzB8tGjMD1\nhARIAKQD+BHAOwCbAagCOA/AGLLebyKA+QAuA7ibYc8mAGe6dsWe48fL/JpkQlL2QDRhAt4DOaZz\ncgvxWcjmjDPnsadCNkfsB9mQdXs9PSw4cAAdOnQoN3sVVA0UQvyJ4TFoEJKOHsXO5GQoy1lGDKCX\nUAj74cOx2senwHxXr17FgB49UF8sxoTERHSH7Acwk1gA25SUsEEgQExaGnwPHkSPHj1KfjLlhFQq\nRXh4eIFz0lpaWjA3N4e2tjZIIj4+HqGh/2/vvuOqqv84jr8umwsoICiCuBMV9yg1cWaaK3NrYW5F\nc5VaroZmZmWpObLUcmRZalpZpjlwpJlaao5wIq5cyN58fn9c5AfIugpeq8/z8bgP8JzvOed7Lsj7\nnnO+4xIGg4EaNWpkCuhq1arl+/lz1kBu3749Qc8+y+7YWDJe84QD/TE93/QE3gJ6ZVh/CXjMwQG3\nihUxGAzUqVOHH374gccee4wXX3yRZs2aFWqDtSlTphASEsLEiROzvZK98/XWrVsUL14cHx8fEhIS\nSElJoVevXncFrqura471TU5Oxt/fn9mzZzMkMJANN2/yLaY2CRm3eA2oyv/DzhloCryD6SpTgDrO\nzsxcu5Ynn3wy1/NLSkoiJibmrldsbGyuy27fvk1wcDC3bt0iJjqaRDL//8juCn4h8AEQhSmI3wa+\nBx4H2hctypAVK+jQoUN+fizqH0yD+F8kNDSUOpUrExofj3OWdc0w3ZqzxfRHqRSQscnKTaCCvT2n\nL17M9Qo2Pj6er7/+mgUzZ3Lh7Fn87OwwAreBP+Pjad+2LcPGjiU8PJxhw4bxxx9/4ObmVpCnWagy\nhnTGgA4JCeHMmTPY29vj5uaGjY0NcXFxXL9+HTc3N2rUqEGtWrXSA7pKlSo5Xo3eunWL2bNnM/ft\nt5mYlMT4LOvvhO5STA2N2mFqaJTx6e5HwLSiRYk1GOjVqxejRo3Cz8/vvs8/Ojo6x2C9fPkyoaGh\nXLp0iaJFi+Lr65vjlay3tzclSpRIv8X/7rvv8vfff/Pee++ZXaevvvqKd955h04dOhD69tt8kqUF\nf37sBZ52dKTVM8+kh2d2wRoTE4OI4OTklP4yGo2Z/p3d8qioKJYtW4afnx9BQUEMDAzkfGJiph4E\ned1KPwXUwXSVXxQIKFqUNzdsoGnTpmafr/pn0SD+F5k0fjwxc+YwOzHxrnXNgT5Av1y27+voSNVX\nX2X8K6/k63ghISGEhYURGxuLq6srVapUyRTio0aN4vLly3z11VcPvEtRYRCRu55Jnzp1iuPHj3Pu\n3DlsbW1xdHQkOTmZ6Ohoihcvjr+/P/Xr16devXpUq1aN8uXLY21tzY0bN6hYqhRnEhIoluEYsZi6\n3xzn/91unsfUiOetDOWiAR8bG3YfOkT16tXzrHtSUhJXr17N9Qr28uXLJCYm4uPjk2O4zps3j1Kl\nSjFr1qxc36f4+PhMQffBBx+QmJhI9+7dcwzAnK44o6OjOXPmDLa2tkhsLFuBhmb83OKAJra2VOjU\niXYdOuQYrneW2dnZmfX7unLlSsaMGcM777xDv36m/2EBNWsy9sgRnoYcb6UnA6cBf+ACpp9zY2Aa\npq6BZeztOXH+PF5eXmacrfon0iD+l0hKSsLXw4PgyEiyuy5qDgRiuuWZk/1Az+LFOXP1aoEEZ3x8\nPI8++iijR4+mf//cjvzPdyek7wT0yZMn+eOPPwgJCeHKlStYWVlhMBhISUmhePHiGB0dqRsaypcZ\nWgED/IHpj3F0hmXvY+risiHLMUfY2+P58ssMGzEiz4C9efNm+m1ib29vvLy88PDwoFixYri6ulKk\nSBGMRiNWVlbExsZmG4oXLlxg3bp1tG3b9q7btxnLx8bGYmNjkynkwsPDMRqN+Pn55XplmdPyAwcO\nMH36dN566y1e6NOHjXFx1M3HzyUW6OHoiEvr1qxcuxYrq/w+sMlbfHw8o0ePZtu2baxZs4YaNWqk\nr/v8889ZPnQoP0VH8wbZ30ofBTQBzmJqoNcfUwgbgPkGA8FPPcVXGzcWWH3Vw0uD+F/iwoULNKpS\nhYuxsdmub47pKksAP+BNTM/QMhKgiK0tl27coEiR3HoN59+xY8do1qwZu3fvLpBbpw+bO/99cvua\nMaSPHDnCgQMHCP7pJ8bfusWoLPvbDXQHLmdYthhYBWzLUvZTYKTBQIqDA87OzhiNRuzt7bGzs8Pa\n2hqDwYCIkJycTGJiYqawTElJyTb8crtaXLVqFdWqVePpp5/Os6yNjU2mug4fPpwqVarwwgsv3PP7\n3KxZM/r27Yubmxv9unVjQnIyA8k8gMwdKZj67b7q5ESVNm1YsmpVgQ6OcfbsWbp160aFChVYvHjx\nXf9fDhw4QPMGDTiUksIjZu5bgGrOzsz/7juaNWtWUFVWDzGbvIuof4KIiAiK2uT843wHU2MWO0zd\nYDoAhyFTS10DYJecTPXq1dOf7eUVNPkpk5iYSLVq1XB3d8dgMJCcnExSXBy2SWkjVQNJ1tZYOTrm\n+7gFUa/72Vd27txFyM9Xu6QknLLZhzOZRywDiCD7Lk3OgK+3Nx2efTbfV5Z3Xubeft2+fTtLlixh\n+fLl99QSOyYmBien7M44fwwGAzNmzKBXr14sX74c66JFOdiwITN+/plOBgNPxsVRFNNt6L+srFjs\n6IiHry8jJ0wgMDCwQB+NfPvttwwcOJDJkyczYsSITPu+ceMGU6ZMYd26dbR66in6btvGz7Gxd3Uf\nzM00W1uKlCunz4b/QzSI/yWMRiNxqak5rq+f4fs+mML4B2B4lnKptrasXbsWNze3fAdLXmVEhP79\n++Pk5ETCrVvs3beP54BmSUkUwXT78IgIixMS8C5blkEvvsjTTz+dfhvRnIAzp14Fta+cxMfHExoa\nyvnz5zl//jznzp1L//7k4cNEZdPoqBKmZ4dn+P8z4sOYniNmFQk81qgRM2fOzLUe9ys1NZVx48Yx\nY8aMe+4OFRsbi9FovK96NGrUCH9/f7p3785HH31E165duX79Op8uXsyG3bsJv3mTX/fvp9fzz7M6\nKIj69evnvVMzJCcnM2nSJL788ku+/fZbGjRokL7uzpCib775Jj179uTEiRO4urryXJcudNq8mTWx\nsdl+mMpIgHdsbPjM3Z1fNm/+V7SrUPmjQfwvUaJECW4kJnIbcM1HeQOm//gZXQbikpJYvHgxzZo1\nIyAgAB8fnwKp31Nt2vDaSy/xtghfcvcV3jMpKUyKi2PjiRNMGj2a3/fuZe7HHxfIwBqFJTExkQsX\nLtwVtHe+3rx5E19fX8qVK0fZsmUpW7YsHTt2pGzZsgQHB7P3zTcZk+VRghHoDLyKqVHPIeA7TKND\nZbUDWP/994R36kRAQAABAQHUrl27wAdPWb16NVZWVvc13OL9XhHf4enpSURERPpoXp6enoyfMCF9\nv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fERLy8v6datmzzZvLmMtrXN9cNc1tb5GV/7QCp4eengHOqhoUGsHphLly7JlFdeEa+i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\nlLKg/wE9IidkvI7ujQAAAABJRU5ErkJggg==\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "G = nx.karate_club_graph()\n", " \n", "clubs = [G.node[i]['club'] for i in G.nodes()]\n", "colors = []\n", "for j in clubs:\n", " if j == 'Mr. Hi':\n", " colors.append('r')\n", " else:\n", " colors.append('g')\n", " \n", "nx.draw(G, with_labels = True, node_color = colors)" ] }, { "cell_type": "code", "execution_count": 57, "metadata": { "collapsed": false, "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "data": { "text/plain": [ "{'club': 'Mr. Hi'}" ] }, "execution_count": 57, "metadata": {}, "output_type": "execute_result" } ], "source": [ "G.node[1] # 节点1的属性" ] }, { "cell_type": "code", "execution_count": 64, "metadata": { "collapsed": false, "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "data": { "text/plain": [ "[0, 1, 2]" ] }, "execution_count": 64, "metadata": {}, "output_type": "execute_result" } ], "source": [ "G.edge.keys()[:3] # 前三条边的id" ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "collapsed": false, "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "data": { "text/plain": [ "\"Name: Zachary's Karate Club\\nType: Graph\\nNumber of nodes: 34\\nNumber of edges: 78\\nAverage degree: 4.5882\"" ] }, "execution_count": 9, "metadata": {}, "output_type": "execute_result" } ], "source": [ "nx.info(G)" ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "collapsed": false, "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "data": { "text/plain": [ "[0, 1, 2, 3, 4, 5, 6, 7, 8, 9]" ] }, "execution_count": 11, "metadata": {}, "output_type": "execute_result" } ], "source": [ "G.nodes()[:10]" ] }, { "cell_type": "code", "execution_count": 13, "metadata": { "collapsed": false, "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "data": { "text/plain": [ "[(0, 1), (0, 2), (0, 3)]" ] }, "execution_count": 13, "metadata": {}, "output_type": "execute_result" } ], "source": [ "G.edges()[:3]" ] }, { "cell_type": "code", "execution_count": 78, "metadata": { "collapsed": false, "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "data": { "text/plain": [ "[0, 2, 3, 7, 13, 17, 19, 21, 30]" ] }, "execution_count": 78, "metadata": {}, "output_type": "execute_result" } ], "source": [ "G.neighbors(1)" ] }, { "cell_type": "code", "execution_count": 51, "metadata": { "collapsed": false, "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "data": { "text/plain": [ "2.408199643493761" ] }, "execution_count": 51, "metadata": {}, "output_type": "execute_result" } ], "source": [ "nx.average_shortest_path_length(G) " ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "### 网络直径" ] }, { "cell_type": "code", "execution_count": 49, "metadata": { "collapsed": false, "slideshow": { "slide_type": "fragment" } }, "outputs": [ { "data": { "text/plain": [ "5" ] }, "execution_count": 49, "metadata": {}, "output_type": "execute_result" } ], "source": [ "nx.diameter(G)#返回图G的直径(最长最短路径的长度)" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "### 密度" ] }, { "cell_type": "code", "execution_count": 136, "metadata": { "collapsed": false, "slideshow": { "slide_type": "fragment" } }, "outputs": [ { "data": { "text/plain": [ "0.13903743315508021" ] }, "execution_count": 136, "metadata": {}, "output_type": "execute_result" } ], "source": [ "nx.density(G)" ] }, { "cell_type": "code", "execution_count": 138, "metadata": { "collapsed": false, "slideshow": { "slide_type": "fragment" } }, "outputs": [ { "data": { "text/plain": [ "0.13903743315508021" ] }, "execution_count": 138, "metadata": {}, "output_type": "execute_result" } ], "source": [ "nodeNum = len(G.nodes())\n", "edgeNum = len(G.edges())\n", "\n", "2.0*edgeNum/(nodeNum * (nodeNum - 1))" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "# 作业:\n", "- 计算www网络的网络密度" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "### 聚集系数" ] }, { "cell_type": "code", "execution_count": 48, "metadata": { "collapsed": false, "slideshow": { "slide_type": "fragment" } }, "outputs": [ { "data": { "text/plain": [ "[(0, 0.15),\n", " (1, 0.3333333333333333),\n", " (2, 0.24444444444444444),\n", " (3, 0.6666666666666666),\n", " (4, 0.6666666666666666)]" ] }, "execution_count": 48, "metadata": {}, "output_type": "execute_result" } ], "source": [ "cc = nx.clustering(G)\n", "cc.items()[:5]" ] }, { "cell_type": "code", "execution_count": 97, "metadata": { "collapsed": false, "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "data": { "image/png": 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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.hist(cc.values(), bins = 15)\n", "plt.xlabel('$Clustering \\, Coefficient, \\, C$', fontsize = 20)\n", "plt.ylabel('$Frequency, \\, F$', fontsize = 20)\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Spacing in Math Mode\n", "\n", "\n", "In a math environment, LaTeX ignores the spaces you type and puts in the spacing that it thinks is best. LaTeX formats mathematics the way it's done in mathematics texts. If you want different spacing, LaTeX provides the following four commands for use in math mode:\n", "\n", "\\; - a thick space\n", "\n", "\\: - a medium space\n", "\n", "\\, - a thin space\n", "\n", "\\\\! - a negative thin space" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "### 匹配系数" ] }, { "cell_type": "code", "execution_count": 67, "metadata": { "collapsed": false, "slideshow": { "slide_type": "fragment" } }, "outputs": [ { "data": { "text/plain": [ "-0.47561309768461457" ] }, "execution_count": 67, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# M. E. J. Newman, Mixing patterns in networks Physical Review E, 67 026126, 2003\n", "nx.degree_assortativity_coefficient(G) #计算一个图的度匹配性。" ] }, { "cell_type": "code", "execution_count": 65, "metadata": { "collapsed": false, "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "1.0\n" ] } ], "source": [ "Ge=nx.Graph()\n", "Ge.add_nodes_from([0,1],size=2)\n", "Ge.add_nodes_from([2,3],size=3)\n", "Ge.add_edges_from([(0,1),(2,3)])\n", "print(nx.numeric_assortativity_coefficient(Ge,'size'))" ] }, { "cell_type": "code", "execution_count": 28, "metadata": { "collapsed": false, "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "data": { "image/png": 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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# plot degree correlation \n", "from collections import defaultdict\n", "import numpy as np\n", "\n", "l=defaultdict(list)\n", "g = nx.karate_club_graph()\n", "\n", "for i in g.nodes():\n", " k = []\n", " for j in g.neighbors(i):\n", " k.append(g.degree(j))\n", " l[g.degree(i)].append(np.mean(k)) \n", " #l.append([g.degree(i),np.mean(k)])\n", " \n", "x = l.keys()\n", "y = [np.mean(i) for i in l.values()]\n", "\n", "#x, y = np.array(l).T\n", "plt.plot(x, y, 'r-o', label = '$Karate\\;Club$')\n", "plt.legend(loc=1,fontsize=10, numpoints=1)\n", "plt.xscale('log'); plt.yscale('log')\n", "plt.ylabel(r'$ ', fontsize = 20)\n", "plt.xlabel('$k$', fontsize = 20)\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "# Degree centrality measures.(度中心性)\n", "* degree_centrality(G) # Compute the degree centrality for nodes.\n", "* in_degree_centrality(G) # Compute the in-degree centrality for nodes.\n", "* out_degree_centrality(G) # Compute the out-degree centrality for nodes.\n", "* closeness_centrality(G[, v, weighted_edges]) # Compute closeness centrality for nodes.\n", "* betweenness_centrality(G[, normalized, ...]) # Betweenness centrality measures.(介数中心性)" ] }, { "cell_type": "code", "execution_count": 103, "metadata": { "collapsed": false, "slideshow": { "slide_type": "subslide" } }, "outputs": [], "source": [ "dc = nx.degree_centrality(G)\n", "closeness = nx.closeness_centrality(G)\n", "betweenness= nx.betweenness_centrality(G)\n" ] }, { "cell_type": "code", "execution_count": 114, "metadata": { "collapsed": false, "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "data": { "image/png": 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U/my7r68hAAAAgEjFNTEAAAAAAEBEoIkBAAAAAAAiQo3/OgkAwPmm\nTs3U1q15Pj2nefMmysx8JDSBAAAAYAuaGAAAx1u48N/66iuXvL8m0X7Fxs6nieEjfy6w69SL5Ybr\nYsG+cGImAAAiDU0MAECEGC6pp5fzfiNpfgizVFfV6cLCTt0WJ15QGgCAyME1MQAAAAAAQESgiQEA\nAAAAACICTQwAAAAAABARuCYGAAAAAMDRAr04slMvRO1ETh9rmhgAAAAAgAjg7x/HXPTYd84da75O\nAgAAAAAAIgJNDAAAAAAAEBFoYgAAAAAAgIgQEU2M7OxsXXzxxbrwwgv16KOP2h0nDNx2B8AZue0O\nEFRut9vuCEHmtjtARKuO9TbS3uPkDQe33QF85LY7gB/cdgdwvMiqt267A0hyWr1x2x1AkrPGxElZ\neH3Kc1KWQDm+iVFSUqLbb79d2dnZ+vLLL5WVlaXNmzfbHSvE3HYHwBm57Q4QVNWpoJ3itjtAxKqu\n9TbS3uPkDQe33QF85LY7gB/cdgdwtMirt267A0hyWr1x2x1AkrPGxElZeH3Kc1KWQDm+ifHRRx+p\nbdu2atWqlWJiYnTNNddo6dKldscCgGqHegsA4UG9BQD/Of4Wq7t371ZiYqLn94SEBH344YdBW36t\nWlLdun9RdPSzXs1vzHEdOxa01QOAY4S63gYiOlo655xJqlXrPK/mLy39UVGOb9MDqKm8rbcNGlzp\n87KLinbrp58CigcAjmYZY/y9AWxYLF68WNnZ2XruueckSS+99JI+/PBDPf300555LIv7/gKonsJZ\noqm3AGoy6i0AhEeg9dbxZ2K0aNFC+fn5nt/z8/OVkJBQZh6H92EAICJQbwEgPKi3AOA/x59s2717\nd3399dfKy8tTYWGh/vnPf2ro0KF2xwKAaod6CwDhQb0FAP85/kyM6OhoPfPMM/rNb36jkpIS3XTT\nTUpKSrI7FgBUO9RbAAgP6i0A+M/xZ2JI0uDBg7V161Y988wzWrBgwRnvp33nnXfqwgsvVHJysjZs\n2BDmpL6p6v7gW7ZsUa9evVSnTh09/vjjNiT0TVXb8/LLLys5OVmdO3fWr371K3322Wc2pPROVduy\ndOlSJScnKyUlRd26ddOqVatsSOk9b+9Fv379ekVHR+tf//pXGNP5rqrtcbvdOvfcc5WSkqKUlBQ9\n8sgjNqT0njevj9vtVkpKijp27CiXyxWyHHfffbdKS0t1yy236P777y/z+Jk+w61atVLnzp2VkpKi\nHj16hCRfRXn9/Zx6+5lwUmYnjvFpp2vH4sWLfX5usAWS2YljfKZ6ZscY+5r3f/7nfzyP2TG+3mSW\nKq+xoRrjquqtVPkxbTAzebOsynIE+/UM5Lg4nGNyphzhHpMz7ZeD/d4NJEswx8VJ+36n7NOdtK8O\n2z7YRIji4mLTpk0b8+2335rCwkKTnJxsvvzyyzLzLF++3AwePNgYY8wHH3xgevbsaUdUr3izPd9/\n/71Zv369efDBB81jjz1mU1LveLM969atM0eOHDHGGPPmm2869vXxZlsKCgo8P3/22WemTZs24Y7p\nNW+25/R8AwYMMFdccYV57bXXbEjqHW+2Z/Xq1ebKK6+0KaFvvNmew4cPm/bt25v8/HxjjDH79++3\nJceZPsOtWrUyBw8eDHquQPJW9jn19jPhpMzGOHOMT8/3y9rh5DGuLLMxzhzjyuqZHWMcaP0N9/ga\nE1iNDdUYB3JMG8xMgR5bB/P1DOS4ONxjcqbj83CPSWX75WC/d51yjOCkfb9T9ulO2leHcx8cEWdi\nSN7dT3vZsmVKS0uTJPXs2VNHjhzRvn377IhbJW+2JzY2Vt27d1dMTIxNKb3nzfb06tVL5557rqRT\nr8+uXbvsiFolb7blnHPO8fxcUFCgJk2ahDum17y9F/3TTz+tq666SrGxsTak9J6322Mi5IJo3mzP\nK6+8ohEjRngu+haK91swPsPhHPNAPqfevoeclPk0p42xVHHtcPIYV5b5NCeOcUWZ7BjjYNTfcNfm\nQGpsqMbY32PavXv3BjVTMI6tg/V6BnJcHO4xqer4PJxjUtl+OdjvXaccIzhp3++UfbqT9tXh3AdH\nTBOjovtp7969u8p5nPqHsjfbE0l83Z558+ZpyJAh4YjmM2+3ZcmSJUpKStLgwYP11FNPhTOiT7z9\n7CxdulRjx46V5OzbunmzPZZlad26dUpOTtaQIUP05Zdfhjum17zZnq+//lqHDh3SgAED1L17d/3j\nH/+wJcfP/fIzbFmWLrvsMnXv3t1zy8BQCuRzalf9DbS2OHGMK6sdTh7jM9U7J45xZfXMjjEOtP6G\ne3y9zVxZjQ3VGPt7TLt792599913QcsUSA4puK9nIGMdzNcp0GXZOSY/3y8H+73rlGMEJ+37nbJP\nd9K+Opz7YMdf2PM0b/+o+mX3xql/jDk1l7982Z7Vq1frhRde0Nq1a0OYyH/ebsuwYcM0bNgw5ebm\n6vrrr9fWrVtDnMw/3mzPhAkTlJmZKcuyZIxx9FkM3mxP165dlZ+fr7p16+rNN9/UsGHD9NVXX4Uh\nne+82Z6ioiJ9+umnevfdd3X8+HH16tVLl156qS688MKw5jitos/w2rVr1axZM+3fv1+pqam6+OKL\n1bdv36Dl+yV/P6dbtmwJWaaqBFpbnDjGldUOu/ZxgdY7J46xk+pZoHnDPb7eZq6sxobqfezvMa3T\ncrz33ntq3rx5UF7PQMY6mK9ToMsK5ns8kP1ysN+7TjlGcNK+3yn7dCftq8O5D46YMzG8uZ/2L+fZ\ntWuXWrRoEbaMvvBmeyKJt9vz2Wef6ZZbbtGyZct03nnnhTOi13x9bfr27avi4mIdPHgwHPF85s32\nfPLJJ7rmmmvUunVrLV68WOPGjdOyZcvCHdUr3mxP/fr1VbduXUmnLgxcVFSkQ4cOhTWnt7zZnsTE\nRA0aNEhnn322GjdurH79+mnTpk1hzyFV/hlu1qyZpFOn2f7+97/XRx99FNR8/uY97fTn9NChQ0pI\nSLCl/gZaW5w4xpXVDrv2cYHWOyeOcWX1zI73caD1N9zj623mympsqN7H/h7TJiQkBDVToMfWzZs3\nlxSc1zOQ7Qr3mJxJMN/jgeyXg/3edcoxgpP2/U7ZpztpXx3WfbCvF+ywS1FRkbngggvMt99+a06e\nPFnlxYfef/99x1440hjvtue0hx9+2PEX9vRme3bs2GHatGlj3n//fZtSesebbdm2bZspLS01xhjz\nySefmAsuuMCOqF7x5b1mjDE33HCDWbx4cRgT+sab7dm7d6/n9fnwww/N+eefb0NS73izPZs3bzYD\nBw40xcXF5scffzQdO3Y0X3zxRdhzVPYZ/vHHH83Ro0eNMacuYtW7d2/z1ltvBTWfP3kr+5z6+plw\nQmanjvHP/bx2OHmMK8vs1DGurJ7ZMcaB5LVjfL3NXFmNDdUYB3JMG8xMgeQI9usZyHFxuMekshx2\njEll++Vgv3edcozgpH2/U/bpTtpXh3MfHDFNDGOMWbFihWnXrp1p06aNmTZtmjHGmLlz55q5c+d6\n5hk/frxp06aN6dy5s/nkk0/siuqVqrZnz549JiEhwTRo0MA0bNjQJCYmmmPHjtkZ+Yyq2p6bbrrJ\nNGrUyHTp0sV06dLFXHLJJXbGPaOqtuXRRx81HTp0MF26dDF9+vQxH330kZ1xq+TNZ+c0pzcxjKl6\ne5555hnToUMHk5ycbHr16uX4xpk3r8+MGTNM+/btTceOHc2sWbNsyVHZZ3j79u0mOTnZJCcnmw4d\nOnieG2qBfE4req6TMzt1jH/ul7XDqWNcWWanjvGZ6pkdY+xvXrvG15vMxlReY0M1xoEc0wYzk785\nQvF6BnJcHM4xqSyHHWNypmPrYL93nXKM4KR9v1P26U7aV4drH2wZ4+AvvwMAAAAAAPxHxFwTAwAA\nAAAA1Gw0MQAAAAAAQESgiQEAAAAAACICTQwAAAAAABARaGIAAAAAAICIQBMDAAAAAABEBJoYAAAA\nAAAgItDEAAAAAAAAEYEmBgAAAAAAiAg0MWq4kSNHqnPnzoqKilKDBg30m9/8RoMHD9bgwYPVu3dv\nderUSU888YRKS0vtjmqLL774Qvfee6/69eun1NRUjRw5Urfeeqvy8vJkjFFaWpr27dtnd8yAjR49\nWk2bNlVUVJR27NhR5rGDBw+qbdu2evzxx21KBziXtzXiTJ8x+If6TH1GZLn55pvVrVs3RUVFqV69\neho0aJDnmHPgwIHq0KGDHnroIZ04ccLuqAgS6jR1OmQMaryNGzcay7LMn/70p3KPbdq0ybRr186M\nGDHChmT2+eGHH8zNN99sWrZsaV5++WVTWFjoeWz//v1m+PDh5oYbbjAXX3xxSHNs27bNNGvWzOzc\nuTOk6zHGmEmTJpmWLVuWm75r1y7TtWtX884779iaD3ASf2pEZZ8x+MYp9dmY8NVA6jOqi7y8PGNZ\nlnnggQfKPbZ+/XpTu3Ztc8UVV/i8XN7vzkKd/i/qdGhE291Egf1ycnIkSQMGDCj3WOfOnTV//nz1\n6dNHL7/8skaPHh3ueGH37bff6oorrlCjRo20ceNGnXfeeWUeb9KkiaZNm6akpCTdfvvtIc3y+uuv\n6/Dhw4qLiwvpeiRpzZo16t+/f7npLVq00CeffFLhc8KZD3AKf2tEZZ8xeM9J9VkKXw2kPqO6OH3M\nOXDgwHKPde/eXR07dtSKFSt08OBBNW7c2Ovl8n53Dup0WdTp0ODrJNCaNWtUu3Zt9erVq8LHe/fu\nrQsvvFDz5s0Lc7LwO3TokC6//HKVlJRo+fLl5QrvaRdddJEuuuiiCnfCwZSbm6tLL71UtWvXDul6\njh49qo0bN/r8B1a48gFO4W+N8Pczhv9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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig = plt.figure(figsize=(15, 4),facecolor='white')\n", "ax = plt.subplot(1, 3, 1)\n", "plt.hist(dc.values(), bins = 20)\n", "plt.xlabel('$Degree \\, Centrality$', fontsize = 20)\n", "plt.ylabel('$Frequency, \\, F$', fontsize = 20)\n", "\n", "ax = plt.subplot(1, 3, 2)\n", "plt.hist(closeness.values(), bins = 20)\n", "plt.xlabel('$Closeness \\, Centrality$', fontsize = 20)\n", "\n", "ax = plt.subplot(1, 3, 3)\n", "plt.hist(betweenness.values(), bins = 20)\n", "plt.xlabel('$Betweenness \\, Centrality$', fontsize = 20)\n", "plt.tight_layout()\n", "plt.show()\n" ] }, { "cell_type": "code", "execution_count": 135, "metadata": { "collapsed": false, "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "data": { "image/png": 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ASomfn58OH/5UM2fG6K67usjDo7+ktZK+knT55tdXktbKw6O/PDy6aubMXjp8+FNKI8ot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\nhoY6ukSn9Nlnnykq6jGVlLhLklxd87V27cf6zW9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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig = plt.figure(figsize=(15, 8),facecolor='white')\n", "\n", "for k in betweenness:\n", " plt.scatter(dc[k], closeness[k], s = betweenness[k]*1000)\n", " plt.text(dc[k], closeness[k]+0.02, str(k))\n", "plt.xlabel('$Degree \\, Centrality$', fontsize = 20)\n", "plt.ylabel('$Closeness \\, Centrality$', fontsize = 20)\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "# 度分布" ] }, { "cell_type": "code", "execution_count": 27, "metadata": { "collapsed": false, "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "data": { "image/png": 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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from collections import defaultdict\n", "import numpy as np\n", "\n", "def plotDegreeDistribution(G):\n", " degs = defaultdict(int)\n", " for i in G.degree().values(): degs[i]+=1\n", " items = sorted ( degs.items () )\n", " x, y = np.array(items).T\n", " y_sum = np.sum(y)\n", " y = [float(i)/y_sum for i in y]\n", " plt.plot(x, y, 'b-o')\n", " plt.xscale('log')\n", " plt.yscale('log')\n", " plt.legend(['Degree'])\n", " plt.xlabel('$K$', fontsize = 20)\n", " plt.ylabel('$P_K$', fontsize = 20)\n", " plt.title('$Degree\\,Distribution$', fontsize = 20)\n", " plt.show() \n", " \n", "G = nx.karate_club_graph() \n", "plotDegreeDistribution(G)" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "### 网络科学理论简介\n", "***\n", "***\n", "# 网络科学:分析网络结构\n", "***\n", "***\n", "\n", "王成军 \n", "\n", "wangchengjun@nju.edu.cn\n", "\n", "计算传播网 http://computational-communication.com" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "# 规则网络" ] }, { "cell_type": "code", "execution_count": 28, "metadata": { "collapsed": false, "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "data": { "image/png": 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cOXMQEBBQyqtfLywkBIJly4rdPWg0gKSWLXHoxAm1/WUyGTw8PDB58mT07t27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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import networkx as nx\n", "import matplotlib.pyplot as plt\n", "RG = nx.random_graphs.random_regular_graph(3,200) #生成包含200个节点、每个节点有3个邻居的规则图RG\n", "pos = nx.spectral_layout(RG) #定义一个布局,此处采用了spectral布局方式,后变还会介绍其它布局方式,注意图形上的区别\n", "nx.draw(RG,pos,with_labels=False,node_size = 30) #绘制规则图的图形,with_labels决定节点是非带标签(编号),node_size是节点的直径\n", "plt.show() #显示图形" ] }, { "cell_type": "code", "execution_count": 29, "metadata": { "collapsed": false, "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "data": { "image/png": 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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plotDegreeDistribution(RG)" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "# ER随机网络" ] }, { "cell_type": "code", "execution_count": 30, "metadata": { "collapsed": false, "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "data": { "image/png": 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Iz+X3+2GaJi666CI88sgjuO6661BaWgrLsmAYBpYvX27bvqamBpqm4fbbb8fQ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\nrrt4dmqKS2lKmqb8B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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import networkx as nx\n", "import matplotlib.pyplot as plt\n", "ER = nx.random_graphs.erdos_renyi_graph(200,0.05) #生成包含20个节点、以概率0.2连接的随机图\n", "pos = nx.shell_layout(ER) #定义一个布局,此处采用了shell布局方式\n", "nx.draw(ER,pos,with_labels=False,node_size = 30) \n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 31, "metadata": { "collapsed": false, "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "data": { "image/png": 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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plotDegreeDistribution(ER)" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "# 小世界网络" ] }, { "cell_type": "code", "execution_count": 32, "metadata": { "collapsed": false, "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "data": { "image/png": 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Wlobt27cjODgYgwYNwsCBA5GTk4NGjRqhWbNmOiXWR48ewcHBAVu2bMHs2bPR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G3bNjx69AglJSVwc3MDIQTGxsZYtGgRnj9/joULF6Jjx46ws7PDu3fvwOPxVGaO3rx5Ax0dHYXt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\nP26k6+HhQQYGBvT48WO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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import networkx as nx\n", "import matplotlib.pyplot as plt\n", "WS = nx.random_graphs.watts_strogatz_graph(200,4,0.3) #生成包含200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=False,node_size = 30) #绘制图形\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 33, "metadata": { "collapsed": false, "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "data": { "image/png": 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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "cc = nx.clustering(WS)\n", "plt.hist(cc.values(), bins = 10)\n", "plt.xlabel('$Clustering \\, Coefficient, \\, C$', fontsize = 20)\n", "plt.ylabel('$Frequency, \\, F$', fontsize = 20)\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 14, "metadata": { "collapsed": false, "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "data": { "text/plain": [ "0.19566666666666663" ] }, "execution_count": 14, "metadata": {}, "output_type": "execute_result" } ], "source": [ "import numpy as np\n", "np.mean(cc.values())" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "# BA网络" ] }, { "cell_type": "code", "execution_count": 34, "metadata": { "collapsed": false, "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "data": { "image/png": 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8uMptxo4di6VLlyJhzBiFNtlELlfugX327Fk4ODigoqICCxcuhFgsxqZNm+p8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\nWL58OUJDQ2FtbY2RI0fWWZziefjuu+/g7e2N0tLSZ/r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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import networkx as nx\n", "import matplotlib.pyplot as plt\n", "BA= nx.random_graphs.barabasi_albert_graph(200,2) #生成n=20、m=1的BA无标度网络\n", "pos = nx.spring_layout(BA) #定义一个布局,此处采用了spring布局方式\n", "nx.draw(BA,pos,with_labels=False,node_size = 30) #绘制图形\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 35, "metadata": { "collapsed": false, "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "data": { "image/png": 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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plotDegreeDistribution(BA)" ] }, { "cell_type": "code", "execution_count": 36, "metadata": { "collapsed": false, "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "data": { "image/png": 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Zj0gkS7a9CVvLm65NmlQXSjSgbjaRzkulZdMD+Hfg3wA3s3eBvwEvAUmTj5ld\n6e7/mbYoRTIgfvHnpElTePXVKBBp0WpJpZtNRFKTSrL5P+AHwJHAUQTlaS4mVhnAzMYALwCzgefd\n/QPgBEDJRvJe/OLPBQvgoINgyJDmde11s4lI6lJJNu+5+3vAe8CdAGa2J83J50jgtNjDzexzWmnx\n5ANVfZZkKithwIAGjj22jmg0mAxwwQVjmDmzms8/bzk1evLkiTmOViQ78qrqM4CZDaU5+XwHqMyX\nG6aF6TobaU19fQMHHjiVlSvjiWUuPXtezZdfDmK33T5jxYphjB1bzpQpmo0mpScd19l0+X42AO6+\nEJgWe2Bm76XjuCLZMmlSXSjRNAD30Nj4EFDOp5820a1bNaedpkQj0lmZ6nxekqHjimREy8kAdQT3\nwWmehbZhQy233lqXg8hEikOmks05GTquSEY0TwaA1m5DsGyZZqGJdFZGko27L8vEcUUypeU1N+HE\nE9dENKpZaCKdlZYJAoVCEwSkLfHSNPPmreLdd9fQ2DiV+Cy0wYOr2XHHiXz8scZspPRk5RYDxUTJ\nRlIVvgfOwIERfvrTCRx4YAWNjbBd3s2zFMksJZuQ2N1DfwLsAjzt7vck2UbJRjptyBD429+Ca3JA\nRTqldOTN1Od8EKtccGHsBm8PA9skG5Gu+MpX4KOPwL2Byy+/lZkzv+DLL5u72lSkU6R1eTfiaWb3\nmNlyM3snYflxZvaBmX1kZle3su+JwJMEyUYkrfbaC15+OagE/fjjPUOJBlSkU6RteZdsgPuAY8ML\nzCwC3B5b/jXgrFi3GWZ2tpndbGYD3P0Jd/8uMCHLMUsJ2GsveOiheCXoCCrSKZK6vOtGc/c5ZpbY\nD3Ew8LG7NwCY2cPAWOADd/898HszO8rMrgF2BJ7PatBSEnr1aqC+fh5BklGRTpGOyLtk04pBwKLQ\n88UECWgrd3+BoPp0m2pqarZ+r4Kckqr6+gZ+8YupbNpUQZBkJgDVNFcaUJFOKR7pLMAZl5ez0WIt\nmyfcfb/Y81OAY939gtjz8cDB7n5pB4+r2WjSKePH1zJ9+lXA58BUgiTzOXA3ZWXz6dt3IC+9dIkm\nB0hRKqXZaEuAoaHng+lk/TXdYkA6o7l2WjkwEZgCROnX7z3+/OdbOPbYCgYPbrmPpkZLocu7Wwyk\nm5lVErRshseebwd8CIwGlgGvA2e5+9wOHlctG+mU5pZNyzGaceOmMHnyBA48sI5+/Vaxfv0i+vff\nk379NvKR0wg6AAAUUklEQVTWW1EWLryecDebpkZLISrKizrN7EFgJLArsByodvf7zOx44FaCkdl7\n3P2GThxbyUY6pb4+mPIczERrTh733vt9zjvvj8yb90OCS7vi6ycB15AsOU2bVp31+EW6oii70dz9\nB60sfwp4qqvHVzeadEZVVQWzZk1k0qQpW0vYTJ48MVZLrZagWy18WwJNjZbCV/TdaJmilo2k26hR\n1cyeXUvzzDQIbr52BfAAzTdjqwM2UVk5l+eeu1ldaVJQirJlk2lq2Ug6Nd8HJ/41PlvtlwQJKNy9\n9jkLFtzNvvtey4gRPSkv78WaNT00eUDyllo2naSWjaRb81hOPKl0p3msJtzCSZwyfRswGU0ekEKQ\njpaNLncW6YL4WM64cY9wyCGb6dbtPZrHaiqAr8ee19E8plNHc6IB1VWTUlByyaampibtV8ZKaauq\nqmDatGpeeeVWTj31G7S8y2e8ey18q+nkt53W5AHJN7Nnz25RdaUr1I0mkkbbTpGeS1nZjWzePITm\n7rVaIHzNTgNwN7vv3sDRRw/T+I3knaK8ziaTlGwkGxLv8nnBBWO4+eZHefrpL1i/fiotx2w0fiP5\nT8mmg5RsJJfq6xv46U/reOSRKCecsIa//a2M1avnAb9HF39KPtPU507Q1GfJlaqqCh5+uJrXXoP/\n/E846CAIpkdr/EbyUzqnPpfkBAElGsmlffeF55+HsjLYYYf4BIIw3RdH8sPIkSPTNkFAv9EiWfbV\nr8JjjwVf+/WbwNCh1TQnnPh9cSbkLkCRDFCyEcmyffeFZ5+FffaBvn0r+PWvJ3LooVOAavbbb4om\nB0hR0piNSJb16dPA5s11PP98lMbGCGvWTOCMM6p59134xjegqkr3wpH8oHI1naTZaJJr9fUNjB49\nlfr65lsV9OtXzRlnTOS99ypobISHHkp+OwO1eCRXVK5GpMBMmlQXSjQA5SxfXsvMmXV8+9vw4Yfw\n85/XhRJNsI3K2UihK7luNJFcar69dFg5q1dH6d27gXXr6vjLX+bR8tYEUSDCvHmr2j2+ut8kXynZ\niGRR8y0JWl7E6b6Gm2+eysaNtWzcOAWYS8s7fzbx7rsTqa9vaDV5JLub6KuvqvtN8oO60USyaPLk\nCQwb1nKqc+/e1WzeXMby5fEkMQG4mpZ3/iynsXFqm11pzXcNVfeb5J+Sa9loNprkUuLtpdetizBk\nyERmzLiXlrcm+Crbdrd9zl//+ir9+p0M9OSQQ/px662XbG21tNZFp2oE0lmajdZJmo0m+ebRR+HB\nB+Gvf61l/fpwJehklaF/CexEuGjn0KHXMnv2FVRVVTB+fC3Tp4f3AdVZk3TQbDSRAte7N3zxBUSj\nE6iqCnevnU4kcnHo+d1AfxJvurZw4fVbu8mSddGpGoHki5LrRhPJJ717w4oVEI1W8MwzE7nuuik8\n8kiUnXaKcPHF5zN//hSefDIKNLB6dRVtdZPFu+iOOmoKGzdGGTMmwuTJmhwg+UHJRiSHeveGBQug\nTx/YY48KJk+ewHPP1bFsWZTXX3+Ga68dwxtvPMPixasIxnKaCO6BU0cwJTpKr16NW49XVVXBV79a\nTa9eMG1a9n8ekdYo2YjkUO/esHYtDBjQPHV52bJgRtnMmXN59tkb2bz5amAJ8ClwGYnjNm+9dW2L\nKdFr18IOO+ToBxJphcZsRHKoT5/g6847J5u6/AibN98BPALcAvycIOG0Pm4D0NgIGzZkJXyRlJVc\ny0ZTnyWf7Lhj0ArZeedkU5fjz+Nfy4Fv0d705rVrm5OYSFekc+pzSSYbkXzSu3eQbCKRxOoC8efh\n5ckrEIRvtqaWjaRL/B/z2traLh9L3WgiORZPNttOXT6dsrKLgdMJbh/dRFBdYBJtTW9euxa+/DI7\nsYukShd1iuRQfX0DBx5Yx047RTn88AgXXDCG3/3uGZYujTJwYPPzefNW8emni+jffxj9+m3CvYxn\nnunBwQevoVevMtas6cGgQRGuu24Ce+9dwd57wwcfpB6DindKW9JxUaeSjUiOJCuc2ZH71hx6aAMN\nDc2z16CJqqpq6usnUlFRwYIFmY9BSoMqCIgUsK4Wzly6tC6UaIL96+trMatLecxGxTslW5RsRHKk\nq4Uzt2xJvn9ZWTTlMRsV75RsUbIRyZHme9uEtZxZ1pZdd02+f48ekZSTTVdjEEmVfqNEcqSrhTPP\nOGMC3bq13H/gwGr22msCGzZAKsOTKt4p2VJUEwTMrAfwAlDt7jOSrNcEAckr8Zlg8dlnHZkJ9vjj\ncOqpDWzeXMfee0c58MAIRxwxgRkzKpgxA5qaUitbU1/fwBln1PHGG1FOOSXCTTdpNpq0pNloCcys\nFlgLvK9kI8XulVfgsMOC72+6Ca66CqZPhxkzgkS0bBnstFNqx7ruOpg8GRYuhCFDMhezFKZ0JJu8\nqyBgZvcAJwDL3X2/0PLjgFsJuv7ucfcbE/YbA7wP7Ah06aSIFIINGxqAOsrKotx/f4SDDx7Dbbc9\nw5IlUTZtivDhhxM48MAK6usbuPzyW3nllQagJ8OHd6e8vBfLl29i+fJF9OmzO5988hmwJxdf3IPb\nbut6yybx2p349UK6lqeEuXtePYDDgf2Bd0LLIsAnBDXWtwfeBvaJrTuboErhPcDNwEzgj60c20WK\nwfz5C7yq6kqHRg9GZ973srJzQs8bvaLiSn/hhTk+ZMj5DpfH1i2Iff++w5Whr837DRt2pc+fv6BL\nsQ0b1nZsXX0Nya7YZ2fXPtu7eoBMPGJJJZxsDgGeCj2/Bri6lX3/BfhuK+u6dsZF8sS4cTWhD293\nSHwefKhXVp7s8PPQuvh2iV9b7jduXE3GY+vKa0h2pSPZ5F03WisGAYtCzxcDByfb0N0faOtA4UKc\nqv4shar1CtFh5axeHS/eWZ6wXeLXlvt15TqbVGPTtTz5K53VnuMKJdmkjao+SzFovj4msUJ0y2rQ\nffo0sXp1lG2rRierKN28X1eus0k1Nl3Lk78S/xEvparPS4ChoeeDY8s6rKamJu0ZWyTbWq8Q3Xy9\nzKBB1dx//xUMGbKc5krRE2LfxytJhytKB/t19TqbVGLTtTyFYfbs2Wn7Bz0vpz6bWSXwhLsPjz3f\nDvgQGA0sA14HznL3uR08rufjzyvSGfEZXx9+GOWTTyI8/vgYxo59hj33jLJwYYSbb57AuHHBbLTh\nw28lGm3AvScjRnRn5cpevPXWJnbYYRHQl02bVrDLLsPYa69ypk9Pz2y0Aw+sY+XKKKefHuHii8dw\n5pnPsHZtlLFjNRut0KRj6nPOJwMkPoAHgaXABmAhcG5s+fEECedj4JpOHturq6v9+eef7+QwmUj+\nmTfPvaoq+H7QIPeFC92PO859xozmbfr1c7/5ZvfTTgue//rXwUD97ru79+zpPmSI+wUXuN95Z/ri\n6tvXvXdv97lzg+cHH+xeUZG+40vmPf/8815dXV2cEwTc/QetLH8KeKqrx9eYjRSbnXaCNWuCOV6f\nfw677QbdujXfQM0dVq6EYcOCCz4BVq0Kvn72WfC1shK6d4f169MT0/r18MUXMGIELFoE++wTxLBy\nZXqOL9mhO3WKyFY77RTcnbO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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "BA= nx.random_graphs.barabasi_albert_graph(20000,2) #生成n=20、m=1的BA无标度网络\n", "plotDegreeDistribution(BA)" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "collapsed": false, "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "data": { "image/png": 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OhiBlOh3pNRpaq3JO2QMHkiEkhAyytazEgIsAihBFr8YepQCly/dUrRlIU6ip\nqaHo6GiaNnEidY2JoRhBILMc22+Pbly1eO9XX31FeXl5FKnV0hKP+5sh3yOfcfb4+EBfEtNOYSFm\nOhRp8fFujSoUd/ESgMIhJSQZAIqIiKAIjYbKtFo3d3FlZSU9+OCDlKLXq4pncmQkdevWjYKCgqhT\np07UrVMn6m40Utf4eOoeG0sJRiMlREZSmUts0BgcTAs8BKxEo6E4g4HS09OpoqKCamtr/bo+z9hj\nEbyTwDzFulR2U7u56UWRzB5u0jKdjmIjI6lHdDSNU/lMKtSTwHrK4usZBjAEBTWpb/add95J06ZN\n8xnbL5Xdu63lCm8JXv3CtVqKCg4mvV5P0aGhXuGBIoBC5MWMskAqkxc72QCZAeoaExPQa2LaLyzE\nTIeiZ3y8s0OU8vBOkx90C2SrJFSjIR28s4CLAArTaikqKopC5Exiz/cTjEa6//77ae/evd7JOHo9\nhQmClyiVyWLsmfB1+PBh2rx5M02cOJGio6OpqKiIDhw4cM5rdE3gun7aNDIajfTRRx853/eM8frK\noo4WBKfgKYMnunXrRsnx8c4saNfPTPFh0altWwlQNOC0ws8VF//xxx8pOjqaCvLzvSz+eQANkr/D\nnpAs/EDGjZUchD5wT2grFkUa3Lev02ug/P6lAhQVHEyzZ8+mBx98kNK6dqVoSDF3JWdB8Tg01YvA\nXBywEDMdioL8fDLKFpmnRVUpWyBdunShGF8lR7170+eff04HDx70zpaOiqKnnnqKJk6cSBFBQVTs\nYlFa5H37shpHyIlevjKLjxw5QnfeeSclJCTQlVdeSa+88gqdOXPGr2uurKyk+Ph4+uKLL4jI3SK2\nyALmmQVdqtVSZHAw3TJ/Pg0zmUgfFERGQaDLMzOpsLDQ6Wp2vY65cHdBK/e2QGXbYvm4ngsSXwK6\nePFiKi4uplEZGaptPpVjKn22s9PTW/aL0kwUS9jX71esvLBpLPPbYrGQIShI9Z4Zg4MDbu0z7Q8W\nYqZDYbFYKMFgoBQV8VkCkDE8nLp27UpDTCavAQtqsVZf4nnFoEFuD9xSlz+eselSjYZKbrnFrxrS\n06dP0/r16+nyyy+nzp070z333ENHjx495zWPGzWK4oKCaMGcOVRVVUUJBgMNEgSKAZxZ0sWQ3PI9\nIdUOFxYW0s6dO93KkubJYlsgil6uVSMk135/+d8Z8n4VgVa2XQqpF7VaDDqjd29nXFy5H8MHDqTI\n4GB6440jPsgeAAAgAElEQVQ3KDoiwm0YhVle3LhZngCZTaZW+o1pGjfPn08lougloAWQrP8+Xbs6\ncwsUi7iPfL4Wi4WOHTtG69evp25RUc4QSikkr8UUgHoAHTJLnGlbWIiZNqUtGhxYLBaaPWMGRYii\n05JaAlB0SAht2bKFHA5Ho/XB/uAZh1Xcv56x6SKAwkWRLrvsMrcaUn+Ot3nzZhrcvz9FazTUr2dP\n2rBhg1dyl1rTj1hRdA5p8KobxlkXs16rJYP8GaeljLOx4SpZCBMguZmrXK5vPs4OgAgDKFKrJb28\n+JkCyZXsafGVajTUKSaGBg0aRE888YTb/S8WBAoFSKfTSQsBSJavMmiijyz+VfI1XdqvX4t+RxpD\n7Xfyl19+ocLCQoqSXe1qbvgEg4GqqqrUh38IAkWIIgUFBVHPnj0pKTaWbvT4XSmRF0qBsvaZ9gsL\nMdNmtFQMXXE4HPTFF1/QAw88QMOGDSO9Xk+jR4+mvCuvpCsuuURV5Js7GUjt3LNcYsquscFwUSRA\nyqL2Vf/rz/5LRJEiRJF69epFjzzyCJ04cYKIzi4IXBcAayFZwbGyoFngnp2rdNhSRLnURah9LSiW\n4KwbWq1ZSFxkJBWIotO6KwAoSj5v1+/2yJEj9MYbb1DnuDjVGLwOoGBBoGRI1rmnUBnl19vKIlZL\nwtJrtSQIAgmCQCHy4s4zTp4B0NDBg6mkpIQmTZpEseHhqtcXodNRbGwsJSYmOr0IXi79AFn7TPuF\nhz4wbcaq8nJcV1uL5Q0NANQHKigowwD2V1c7h9YnJibiww8/xNtvv423334bZ86cwYQJE3DnnXdi\n5MiRCAkJafT4zZ0MpHy2au9erCovx8odOzCwb19seOMN6E6dQo7NBrsgoC4qCgf27pWu7dJLMfaH\nH9z2kWOz4YHt233eG7dhEw4HRJ0O1gED8MEHH+Cuu+7Ctddei/0ffYT/Z7NhFYDrABRBGjgxE8Cf\nAWyRf34AwHOQmscrM40GA3gbwEkASQAmADDLn3lP3sdyeds8SMMnXgew2uNcxwLY26MHNlosZ6dU\n6XQIDgtD3aRJWHngAExmM6qWLUNKSgq6dOmCx+67D3m//OK1nzUAThLhNwDHVc7BAeBZAEFffYX0\n9HTodDpotVq3v9VeO9ffyr83v/02Zpw4geUOh3TMhgbY5Gs+A+CMIOBJSAMvciENxlgv39+/WK3o\n3LkzLrnkEhz98kvkffWV1/Xt7tsXFS++CLvdjhsmTsTob79122YMgN0it29g3GEhZtqMXdu343ZZ\nhBVG2WzIf/JJHD12DAMHDkR6ejpiY2MxOS/P+ZB/77PPYKqoAIWGIi0tDRMmTMCrr76K9PR0CIJw\n3s7fU8iVxcLyf/8b1fv2oXr7dufkoLzJk7GtosI54hAANgsCdh86hLS0NOTm5mLUqFEYOXIkDAYD\n9ldXo1Rl2MTKo0expboaR48exZNPPokN336LTQD2ALgd0mAHT/HSAHgUAEESjdcALJD/7gGpocce\nAE8A+BaAHUAyzk5aUhgDYC2AV+ExpUmnw5DsbDy3bJlzYWIym7FTFl5P7HY7zmg02OSxn0oADVot\nQhwOdHE48DmkkYuu5AHYCOCSMWNwxz33wGazoaGhoVl/u/67vr4eNpsN33/9NW6VRVhhLIB1oghd\nXBzsdjtqjx3DdgD7IS1qqiA1cjEmJqKsrAwAsGfHDmz77ju373ubTofM4cPRt29fAMDIceOwdfVq\n5Ln8H9gq30uGcSPQJjnTvmlJjNdsMqm65rrExdGMGTNo6NChlJSURCFyMpHrdiUaDS2cO7cNr6xl\nTJgwgdatW+f82Zcb/vDhw7R7924qLy+n3NxcioiIoKFDh9KwjAwq9ag9LhZFunHWLLf7vX37dooL\nD6dk2c3pq1TJKMcfr4V7FrJn/DgDIC1AYSr3XHHBRsqNPZoTTrBarTRy5Egym82qMfPnn3+eesbE\n0Fr5nNV+PyIhxWObm0/Q2O+sryEfGQMHUo8ePSg5OZm6RUdTnIvLfCm8M7n9Cbu0ZmiGubBhIWZ8\n4u+DxNeDL3vgQNUHWkJoKKWlpVFUVBSFhoZSYmhohxsGsGbNGpo0aZLba1VVVWQ2mSglPJzMJpNq\nzejvv/9OW7dupZtvvpkiNBpnNnOJKFKkRkPhKiJYVVVFPWJiKA6gLMBZR638WQKpL/Q8WcQa6+6U\nCVBSeDhdccUVFC4IztcVwV6Lc5diueL63U8cO5ZiYmLo3nvvpYaGBp8xeqWrWZUsxkqpkJK5XYVG\nMtzPsSA81+9sY+87HA46cOAAjRw2jObhbLZzKUAFKrXN/uQg+NqGpzQxrrAQMz4pyM+nLEFwPoyU\nSTyeD0i1B9uRI0do3uzZbgk+pZCyZAf3709r1qyhgwcPkt1u75Dj8f73v/+RXq93dsyqqqoiY3Aw\n9YGUILVAqz2n9WOxWOjmefNoSM+edEn//hQVHu5lpRYLAvVITqZOMTF0I6QkKT1csnVl8cqSX+/l\nw2LOlcU2SxCc91Xt+23O5Cqly9gSgOIjI88pKmqZ4DE4m3jmrPlOTaVff/21SZalvy1CGxNQz+sq\nFgQKFwTq0aMHlZaW0rZt26i+vt6ve3Su62dLmSFiIWZ8YLFYSK/RqFpMCcHBdOWVV1J+fj5dOmSI\nd92lIJAhJITi4+PJoNO5dXfyZVF3xAfTmDFjaMOGDWSxWMgYHOxWZ5vkw4pqDF9TkcxpafTuu+9S\nosFAZbJ4ZUIqqXEVrwUApahYxKWQypSMcHf5tkaJl6d73V8hdxVDs8nk3SJUFKlHcjJFRkZSgtHo\n1lylseO01qhFT7E+fPgw7dy5k/70pz9RZmYmGQwGmjJlCj3zzDP0448/qn/Wh7U7/4YbyCwIztaX\nI+QFUkF+fpPOkblwYCFmVCldvNhLYJUYYoLRSPHx8RQiDw/w1WlKqef1x83ZklKjQPHggw9Sv169\nqGd8vKo7eApAIy+5xG835LmsOWU/l/XvT5HBwRQdFubVAaoKkvtfeb1YEChCEKhrTIzqQIXm3ne7\n3U4DUlJaTfR8LQhsNhtd1r+/X8dxOByUO3y493fRBt6Vn376iZ599lmaOnUqRUVFUUZGBv3xj3+k\nt956y708Sh5R+cQTT9Add9xB2dnZbnXUyuKtFCC9RtMhfu+Z1oeFmFHFl2URI4q0ceNG+vbbb+n4\n8eNUcsstHc6t3BpYLBbqJE9AMvtYjKQCZAgJobiICL+sTkWQSuX2nGrb7tu3jxISEui1115z9kT2\n7DBWIIpkNpnaZFFjsVhowZw5lKLXkyE4uEm10+far68FgT/u5tOnT9P8+fMpNTWVEvX68+pdOXPm\nDP3zn/+ksrIySjAaVeuLQzUaioyMpIigICqShVhtUEdBfj7Hji9CWIgZVdQefsqDwpWO6lZuKa73\npxTSpB3P7N8IQaAQOSHLr5hlZiYV5OfTpPHjqVNYmNeD+MCBA9SpUyd64YUXnJ9Tem8r4wRL5ZGI\nd999d6tfs8VioTi5kUUlpHh/ONDsDOumHNfzdyzRYHBOflo4dy4NGTKEJk+eTCdPngyod8XXAlYP\nkCAIFAlQX0hhBbXtYjUav/8vccLXhQMLMaNKUwS2I7qVW4rrA1fpUqXE05fg7LzekZdc4tOtqgip\nXqNx61CVqNdT165d3Y73n//8h5KTk2nNmjVun1OmH5XILujMgQPpk08+od69e9Pdd9/d5HnIvqir\nq6NL+vf3svYWaLVtZn274vo7VpCfTwkupVFKe9PDhw+3ybGbgtoCtghSyVi4INCNkMrMMuGd/V4k\nv+5ZWjVv9myv5LCWVjQw7QsWYsYnF6PA+ovnA9cCKeEmLT7eq1RH7cE8sE8fSjQYpCxmj4dvmU5H\n+pAQ57GOHDlCXbt2pdWrVzsfwGqfK9VqKVavJ4fDQT/99BOlp6dTUVER2e32Fl3rZ599Rn369KGu\nBkO7KDNrz1n2vgRywujRtEQW32J4txgtlr0LaoM04oKCSKfTUadOnSgrK4umTZtG5kGDvHI4ynQ6\nKrnllnOeC/8/bn+wEDNMM/AsV5oHqD7klO2U5CkleWdAaiplQMpynoKz8V3l4RsFkMPhoB9++IF6\n9epFq1atIqKzIuSrsUdCSIhzdnFNTQ0NGzaM8vPzyWazNfka7XY7PfTQQxQbG0uTJ08mfUjIOSda\nnQ88RykGakHgC7UFrOJBcf3elJ7lmQDFA5SeluZzgdHQ0EBWq5U+/vhjeuGFF2hAcrLqPYgSBEpK\nSiKTyUTdO3f2O9ucCSwsxAzTRJx1pnJstBjShKKXXnpJdbsFWi1NgTS5yBgcTG+++aZbaVgJzna/\nUmLxoQANT0+n+Kgouu2225z7VB7oauMYi0WRuiUkUO+4OKcA1NXV0ZgxY2jSpEn0+++/+319C+fO\npRS9njrFxFD37t3p6quvpp07dwbcwqqpqaFeXbp0OIFRFlC+8gmUUEZL66WLFi4kq9VKu3fvpqy0\ntHa9YGHOwkLMME1EzS2dCVBicDDNmzWLPvroIzp8+DAtyM+nMq3WbSatWRBoYGoqlXgIiev4wjBI\nM4CVjluuD2O1aUxKV6owwDka0bVmu76+nqZNm0Y5OTnOBiS+8EzIWgJQbHg4HTlyxPl+oMIVBw8e\npO7du9PAPn284urt3eXquihzLS9zzSdQtvO33O9cot2eXfiMOyzEDNNEzpWoFS6K1KlTJ4qVm2+4\nCmapLJhqscAYSK0qu3u851lLrDzQx0KqRY0WBOrbrRvN9xR3lyz3hoYGmjdvHmVlZdGvv/7q3Jdr\nIs+hQ4do8IAB56UOt6m8++67FB0dTbFhYbRAq6Vx8n3VA3Td1KntWoQVlPudnZ5OZpPJ2Uq0uefu\nb4cwjhG3f1iIGaaJeJYuebqISzUaGjdqFI3KzqZMlfeLIDVG8bSIC2Qhn6Ii0ll9+jgzoJW4s2K1\nlmm1pNdoVMU91qVJhMPhoLKyMhowYICXm7lUo6EwSLHp9uTOdDgctHz5curUqRNdd801UutQl4VN\niWxRsriowwmXHQMWYqZd0JHKLFwtDV/NPHrExNDs2bMpRi4vUhNI1xhzHKRSIGNwsHe7R42GEoxG\n6tevHz322GO0eMECKlPJxPYU96WQXObFN93kPHeHw0H33nsvxen1XolXxZBqXD0bTQTKIv79999p\n1qxZNHjwYPr6669pcM+eNEW+Lld3fwbA7SGZDg1PqGYCjtVqxdD0dIgVFSjduRNiRQWGpqfDarU2\neT9lhYUYbTajrLCwyZ/3l5SUFFTt3QvHwoX4NT4eWzwGvW/RaDDpuuuwdu1aXHPDDV7vb9PpMHnW\nLNCiRXggPR2fmEzok56OiEWLUPnBB3gnMhK36nTYBKAYwNqgIOzYswePPvoo/vnPf+KFp5/GKI9Z\nxhkADgHoA2AqgIWQZhMXAnj5uefw/fffw2q1YmlRET54800ENTQg125328cYAFEANgAoBbAJwEKt\nFk+LInZt396m9xRw//4WzZ2LoUOH4tixY7jssstw6aWX4r8nT2I/gIEAhgIQ5fMcDmDDunVtem4M\n06YEeiXAeNORrMPWoDWSSpoz/ag18IzDlWq1FC6K9O2336q+70+cztWdOG/2bIqOjnYbqbggP98t\njmuBNNBBcVUrE5mqICVtjRg6lGJjY52tNhubBWyW9zcFoE6hoWQMDm5S56zm/u563qciSDOTg4OD\nKSYmhoKCgqhHjx5S0xIVd3+xKAY8js0wzYWFuJ1xMSZY+GoLOLhnT6qpqXHbVu1B72v60YImTj9q\nLp5xuIyMDHrxxRd9vt/U7/L111+nrl27uiVZRWo0TuHNgvfEpWKA0gFK0OvJYrHQtddcQ0twNrms\np+wOL8PZJDODLMQE0BJBoM5Go/dkLVGknh5NS1yv07Vcqw/cM4IbQ5lR7OluD9NqKSkpidLT02nE\niBGUnZ1NxnYWx2aYlsJC3M64GEsO1K65RKOh1K5dKTIyknJycujvf/87ffLJJ6qLlJlTp/qcfhSI\nh/Mbb7xBQ4YMabX2kkREpaWlNH78eLLb7XTy5EkKDQ2ljP79KQ1SfbKaMBkB6p+aSrmZmZQWH09r\nZaHtI/89Ud4mTb5X82UxLtBoKC4igvp37qy630yPBaLNZqMvv/ySrho9muYLAiXIiwOzvK0hKKjR\nxcfx48epX1KS3+JakJ/vPRnsAv8/wlzYsBC3M1prnmpHojEvQF1dHb3++us0Z84c0oeEqPY69pUQ\nlQrQuFGjqKGhwXmc8+Hyt9vtlJaWRv/6179abZ9nzpyhSy+9lB544AF66623aOTIkW7tLotVFiIZ\n8p9KgAZCyohW6leVMqrpOJv0VAqpfjk6JITeeecd9UUhzvZILhYEio+KouDgYEpMTKSksDAaK4u7\nktW8VP5ZLZmqtraW/vrXv1JsbCyZ0tKozM/Zxhej14i5sGEhbmd0NIu4tcTNH/ftKJVFyhRZbDxj\nhkpjjE6dOlGPHj3o8ccfP68P7wceeIB6d+nSqqJvsVgoISGBpkyZQvfff7/ztYL8fArH2VpmxTW/\nVhZYglQa5TkFShlA4CqacQDFBgWRVqslvV5P4YJARS7i7doBrBIgoyhSUlIS9enTh1Li4ykO3sMM\nSgHqGR/vvI5Tp07RypUrKSEhgWbMmEEHDhxosrhyWQ5zIcFC3M7wfCAtgTQwXG2oe6A535aJ2iIl\nTRYctaYZQUFBFB8fT8HBwRSsIkRttcCxWCyUFBXljOG25n159913SavV0ubNm91eL8jPpyxBcFq2\nSnmPIopqvamVTl6eseVEvZ6y0tKof69eZDAYKHf4cOoZE0MpAGW77l+rpavz8uiRRx6hO+64g6ZN\nm+YzfpsWH0/19fX02GOPUefOnWnixIm0d+9er/vG4spcjLAQt0MUKydGFClDFpr26H4739a7mvAr\nWb2edaXdk5NpbE4OZaWl0dgrr6SuUVFUCff60ykAXT5woOpxWmLlly5e7LebtalYrVYKCQmhnJwc\np8vd9d6UuWQdG12s11J4Z0n7ii0rry/V6SghMpLS0tLcksNK5X0nGAxe92bm1KleC54igK647DLq\n2rUr5eXl0Y4dO1p8HxjmQoKFuJ3SEVzUgYhne1pNao3yEyIjKSokxDmrt1gQSK/V0nUajVdXpjCA\nukRF0cSxY+ngwYNksVgo0WBw9jEuEUVKVBEcNX766Sd67LHHKDkyss3uy5o1a+iaa66hK664gu6+\n+2639yorKyk5Lo46R0RQVFgYheJsItZMjYbCBcGtiYhRxY1c7PHaUp2OMgcM8G7+4dI+0/P7cb1/\nSwSBwkWRsrKyaPv27S2+foa5EGEhbqd0hKSt9rJY8BTngvx8r/NaIggUpmIVKsMWiuX3u3bq5OWu\nLYLvzk3//e9/6fHHH6eRI0eSwWCg66+/niaPG6daijN86FA3K7Y5XH/99VRRUUFHjx6l+Ph4mnr1\n1ZQzZAgNveQSio6Opr/85S8UZzCQEVLG8lpI7ucIQaCrx42jgvx8GpGeTsbgYJqp0VCcfE8UKzoO\n3iMZU8LDVX8XR2VkqJ7j4cOH6eq8PEoICaGUhARav359q2aQM8yFBgtxO0VN5MramUXs6Q4tayfu\nc1+LmGgfrthcl/ubIF+L5zaxokjFN99MFouF9uzZQ6OvuIJS9HqK0OlowoQJ9Nprr9GpU6ecYYVY\njYayBMEZVkg0GOjSSy+lyy+/3Nnso6k4HA5KSEigb7/9liwWC8VHRDgTqYoFgeIiIihCFJ2vKUlb\nijs+SxCc34/aAII+XbvSjR7XvlSnI7PJpLqwiYmIoIljx1JuZiYV5OdTQX4+ZfbuTUmxsdS/f3/a\nuHEjHTlyRLXu2x/Xf2PbXWxNb5gLGxbidobygFGslgWyK3EJQLFhYe3ugaOcb59OnSgzPb1dnJ8v\nSz1jwADv2K2LK7YS0jQftazfZNliDBcECpGFz3XxUVVVRQX5+W7j+UpE0S3Rzm6300MPPUSxsbH0\n7LPPNtlK3LdvH/Xo0YOIiG6aN89rJm8GvBPSiiE175gCKdGqMY/Fd999R+GCcNalL7vl1dz/iQYD\nRYeF0RLZ6jbKx1YGSCj3RO1zCQaDaoKfq7gW5OdTYiPbcfkScyHBQtyO8GzTWKDRkDE4mLLT0+mG\nGTPIaDQ225pqa44cOULR0dF08uTJQJ+Kzwd1VVWVe/wSoEQXV2yxKFIw4HRhK7HUMICuc3Exew5X\nUIY1ZAmCl4irCd++ffvIZDLR5MmT6ZdffjnntSjiNHLYMJo5cyb94x//oFh5geZ6rEt8WPyZ8vUY\nZdEckZ7u81iG4GDKlD+TJQjOhCw197/iflebQFUiitQ9MZFKRNErkW6g57YaDQ2/9FKKDQujUo2G\nKiE1A/E1jlEtGa69eYsYpimwELcT/GnT+NBDD9GwYcPIZrMF+GzVGTduHI0aPrxduAvVSmEsFgsl\nGAyUJfcrzoBUR7sWUimOITiYwiF1mPJsclHgIWyEsy7fbvK+RvgQQrW4/unTp2np0qWUlJREGzdu\n9HkNnqVsEaJI/fv3p1nTp3slUCVDZXISzlr4ZfK5+xob6Cvbu2jhQvrss89o7dq1tGzZMho3bhzF\nBQU5r1WtNEoJBTwsLwCci0uAIuEdh9aLopvw+tynRuNzVKOvBQbDtHdYiNsJpYsXq3ZHmgJQRq9e\n9Ntvv5HdbqecnBxaunRpu4uPWSwWio+MbJPa2caO6XofqqqqGr0vvvoZRwLUJTGRBvXr57OkJ9dl\ne2UwgmftslEWO8/9Xz9tms+Y5r/+9S/q0qUL3XTTTfTbb795na9X6085Vv3qq69SmCCcLSnSaikK\nUrKV6zl5NuCIhe8e3KMyMlSvPUoQyGQy0XXXXUf33XcfvfnmmzRv1qxGLeIlAIXI99ZzcXkj3N3/\npRoNddXr3Y5dCu8QQRFAxvBwn0l3ZpOpzX7XGKYtYSFuJ4xIT/fZpjHOYKCwsDAaO3Ys/fnPf6Yw\nQaDSJkzEOR+oiVxbNszwTIhaoNW6leeUyWVMK1asoNtuu42uvvpqig8ObjT7Nzcz0znv1lNUpsgi\nGCG7rzNUhGIB3Ns7FgEUChAAitRonG5Xz++spqaGZs2aRampqW41tr6SzkYMGkRJSUnUo0cPChFF\nyurTh0oXL6ZBaWlOaz4NUr9nV8uzGJJFWgnQ8IED6c0336T77ruPrrvuOjKZTBQq1wq7xce1Wrd5\nxq7fgWKtKzFiZVFQotFQpEZDEUFB3k1U5HvpWqucZDR6ZborE6WUeLXSKS0lPp66eyw4lI5g2WwR\nMx0UFuJ2gtlk8rKIlfhk9+7dKT4+noKCgkiH89chqimcr3IrRQCUOK9iZRWoWElLABqQmkr33nsv\nvfrqqzRn5sxGFwulixdL4xNdHvLFAEWKImWnpzst2e+++466yQ1CPK93IKTYaqycpLVx40bqmZLi\n9Z2ViCJNmTDBLaa+YcMGiomJocvNZrq0Xz8K12opHXDrllWm01FKfDylpKRQcHAwffzxx87PZw8c\n6BQoT3F0zaAuAig6IoLGjRtHy5Yto3/84x+0a9cu+uqrryhRr3d+5lxZ8K7ufyVr2jUUkD1woM+G\nIWaTySts4FUPbjC47XPv3r2U0auXNOYS7uGDG4GA/x9gmObCQtxOUB6inmPpUpOSaN26dfT888/T\n888/T4O6dWuX9cXnq6bY1yCCnjh3fPZc2baeY/zS4HuMn9p5LAFILwgUp9fTnDlzqLKykk6dOuVz\nkZIYHk4hGg0ZtVrqFBJC3Tt1cvZ29spEln+O1GrJYDCQTqejt956y+nuvmnePJowZgwVyAljufLi\nZBCkWG2WvM9iQaBOUVE+xfXtt9+mznFx1CM6mkYNH94iT4tazLkYvmPU/rS49LVY8rVPhukIsBC3\nE5QHjOsqXy2WpyYARQBNGDMmoE0TzldNsS9RS1OxiNUWAud62Pvb79iXqB85coT27NlD999/P2Vn\nZ1NkZCT17tKFSj3G9s2F5LZWulspruxISGVGZtnq8xT6UIA0Gg0VFhaSMTjY6botAihcFMkQFOT0\nFihtLh+Gu5Xe2DVNnzSJkiMjaeyoUdQpJqZFeQjO3wmXEjx/5xOfa5/+LJYYpqMgEBGBCThWqxVD\n09Mxs64OOTYbtul0WB8Rgaq9e5GSktLodmtDQmBMSkJKSgoeffRRpKWlndfzXlVejv3V1ejWrx8A\nYPPrr+OSYcPwSEWF27m3BmWFhRArKrDcZjv7GoB/AvhaELBIo8Gohgaf9681cV77jh0wmc0oXrbM\n61g1NTV44YUXcEdJCeacOYM8AK8IAjYACCPC9QBWumxfAsAKIAXA8wB2yf8GgE0AlgD4MTgYkZGR\nmP7rryglwioA+wGcFAT0mDIFnRITsX/HDnTr2xcAcPjAAZ/n53otQ9PTce3Jkxhkt2MJgNkAxgIt\nupf+3KOm0hb7ZJiAEuiVAHOWplhjntvZbDZauXIlxcTE0B/+8AevDNy2OFfPBhaKVXj77bdTYWFh\nmx3X1RItAigcoAidjsx9+ji7RLWXbHIFi8VCJbfcQkNSUylcHuaR5Mud7uLGdcsuhpTopAcoRhRV\np07pNZpmXberp0UtC7o95CEwzIUKW8QXGEePHsXSpUvxySefYNWqVZg4cSIEQWjVYyjWU8rx4xhG\nhBUu792q0+HoxInYd/Ag9u/f36rHdT2+YhGlpKbipRdfxI0NDS223s4HC+bMwSv/+AfmAfgOQBe4\nW8S3AnAAWIGzFvDfAGwG8ASAJAA/AOgPQAQwHEAR4LSKjwPoNXWqZBVXV8OUleWXxTjabEbpzp3I\nAzAaQCmAPJf3NwFYaTZjS3V1i66fYRhvxECfANO6JCUlYf369XjggQewcO5cdDcaMf+GG2C1Wlvt\nGKvKyzGzrg56IuR6vJdjs+HnI0dgtVrx888/t9oxXUlJScGKRx7BlupqREVFYaEg4G+QhGO5zYaZ\ndb7uaxQAACAASURBVHVYVV7eJsduDlarFWWFhRhtNuONF1/EXADLATwMYAMk0dsEyS29HkCx/LnN\nAMIgCbUVQC8AUQAKALwG4GsAXwAYAIDk/WQDePOVV1C3ejVKd+6EWFGBoenp5/z+TVlZ2KbTSf8G\nsM3j/W06HUxmcwvuAsMwvmAhvgCprq7GzXPmwHj8ODJOnIDjuecwKDUVX3/9tZsolBUWNkug91dX\nI8dmU31gv6fVYmBWFrKzs/H++++3xuWc81xGucSLAWkxsH/HjjY/tj8o3gOxogKlO3dCV1/vXLyk\nAKgCcAjALADPAIgD8D4kUX4JwFsAtgDoDmAUACOkuC0gWc6/AJgPSazzIFnSBQAiGhqatDApXrYM\n6yMicKtOh0EAnoa0INgEycuxPiICxcuWtfyGMAzjBQtxO8VfwfTcrrq6GmNHjMCc+nqsgvQA3wxg\n8unTuHTwYAzp188pCv5aS54o1lMxJAvuVkgP7GIAq+126GNjMWjQIDz45z+3SPCbci6ubNPp0K1v\n3xYvOFqK1WrF1PHjMb2mBsttNuQBGA+g0mWbowC2A7geknV8BYBFAB4HMA6SxVsGYB2AWgAWAHcD\nuB3AHEjC7OmVyIPkplbwZ2GSkpKCqr174Vi4EM+ZzZian49T+flYaTbDsXBhu3X1M8wFQaCD1Bcz\nvtoe+jtdRm07Y3CwV3ekMjnJp1NoqPM9pU9yH0jNFZqS4OPZVSlLEChWFGmIyUR6vZ4MBgNFarXn\npd2lV4OPc0z4OV8o5+XZMtMiJ1uVyHW9SgtIz3K0uLAwCoU0lGIQQAlw79iljHRUS6zyTPIqAqhz\nXBw9+uij9OuvvzrPr721SWWYixVO1goQvsqV3q+uRvm990K/fj1WNDQ4ty/TaPBVTg5umD8fGo0G\nGo0Ga598Et02bcIKu925XW8Aj8A70WYxgGMaDV6029EfwFAAMwHkQLKYX4qKwnsff4z4+HicOXMG\nNpsNZ86c8fqjvP7DDz/grVdewfdffYWE7t0xIjcXEREROHHiBJ7+v//DVT/8gL+5nMOtOh0cCxdi\nxSOPtMm9nDh2LBx1dciZMAG1tbUwrF/vVuJUIor4bfZsPLFmTZscXynhMmVloWjpUhTfdBO6VlZC\nA8nttNxl+x4ABgPYA0ALKdHK8/v6I6RY7QsAggFEQPJuZELyPAyBVF5UDPfvshLAUwAmaTSYbbc7\nf68e/PvfsXHjRlRWViI7OxvV77+PG+rrMaqRUjmGYc4PLMQBQq0edgmAJ0QRkVot1so1pwqbANwc\nHY3BI0fCbrfDbrdj34cfYvWJE27b9YP0UPesTa0A0ADgJkgPf09xWALgaZ0OIXo9goKCnH90Op3b\nz2qvef686cUX8fBPPzUr69ZT1PytEZ0zZw6uuOIK5OTkIDcjA6t+/tnr+LM1Gnz23XetKjaeC6ot\noogniKAhwgbAa9GzCcA/goIwx2bDF0TQQxJY1++iGMApABsBTAcwBlKceB2AyQDeAZAGScjnARgI\n4DFIyVtdAGRqtdjbty8MoaFedbY1NTWYMXky+n3wAVa5HLMtF0oMwzSONtAncLGyv7oapR5JRmMB\nHBgyRIp7VlQgz+X9bTodJs+c6fagLCss9NruDKQHtgbSg38bpMYQ3ZOTcfeKFSiaPx9RtbVuD2Hn\nsS+5pFXKU8SGBq/zqgRQa7OhpqYGRqNR9XOuolZqs2Hbnj0Y+vzzfllqp0+fxm+//Yah6elIPn4c\n70FakFghWZzvAgi12/GXu+5qkVXsuVCora3FdbW1WC57L/IcDtgBPCUIeE8UkWe3o0o+h2IABpMJ\nm558EteMHYuU48fRjQjr5X0r3omnIGVIXwfgIfm9PEjfqQOSqG8F4AgKwgdnzuADSAsrHaTkri8a\nGnA4NFT1uzQajcCpU26LFECKI69sJwluDHPREVjP+MVLY72ZWxojLtBoVFtlNjQ0UGFhoTN+6xmX\nnDZxYqtcm9p5dTIYaObMmRQbG0vl5eV06tSpJt2Tcx0vrXt3SjYYqFgQnCMKF0CayqOM4WtJwwvX\n61LaeJaIIhl9NOWIEcVG49QWi4Xm33ADRQgC3SjH8FPlmPHDcuzeV7OPSoBiNRqqqqois8lEaTg7\nFIIgjRVs7J6dr77gDMP4BwtxgPBnAEFzumxVVVWp7nfPnj2Um5tLV1xxBe3atctrm/iICIqPj6c/\n/elP1NDQ0CrXp3b+Bw4coGuuuYZSUlLo6aefdjtWcyY4KfexWBAoXRY014EHnguOYlFstuAULlzo\n1TPaLM8E9hxCkSUIVJCf3+h3ePfdd1O/fv3olvnzKS0+nszyIkLpbuXVO1t+vQigKRMmuF2/8l2W\nyuMgb7vtNp+9x/1d6DEMc35gIQ4g/ortOT+vknVdkJ9PafHx1DM+niaOG0dJSUm0bNkystlsPo99\n9OhRGjFiBI0aNYp++umnVr9eV/79739TdnY29evXj958801yOBzNstSUzyjza12H0Mf6sirPIeye\n99RisdCyZcsoRp4n7Lq/tZBabJbCfdzg2nMcZ9WqVdS7d2/nffZchFhka17JPC+Wf16g1VJsWBil\npaXR6dOn3c9Z/i537NhBAwcOpJtuusn5ffu8zmb+7jEM03qwEHdQGrNqPF2oSwCKCw/362Frs9no\nzjvvpM6dO9P777/fptfgcDjonXfeoQEDBtCwYcPo1VdfpSSjsUllT4qAlUIq03IVyUw0bXazmnVp\n0OnIYDBQcXExzZs9W3WhkJ6WRlmC4DY3uLHjPPvss9SlSxc6cuSI87XSxYu9ZiXPBZy9s80mk3Mm\n8pEjR2jixIl0++23+7wvJ06coNzcXLrqqqvo4MGDXKrEMO0YFuIOipr1WCKKlN6nD/Xq0sXbXdrE\nGGBlZSUlJCTQfffdR3a7vQ2vhKihoYHWrFlDSUlJ1CMlhfSCQL1iYxsd2acwY/JkWuISO/W0ViM1\nGr9dsKr3VKOhWwoKiMj34sdXOEDtOK+99holJibSgQMHnK8pHowYQaBM+bxLtVqK1Gp9nutPP/1E\nCQkJ9PHHH/u8N2fOnKFp06ZRpEbjHEXIbmiGaX9wZ60OitJm0pXRDgdw+jSMwcGqWbGNdVfy7NDV\nv39/fPrpp3j33Xcxfvx4HDt2rMntMf3dXqPR4MorrwROncLEH37ABiJc9euvePuNN/5/e3ceHmV5\nNX78OxsJWZgEEwLUCWEHNQQLmaEiamUxiPKiuLIYFQhQtpAAfftr61a1FhSlalmsgoJQ0FbeurC7\noNZEREF8RVG2RMFCFTAh+JJkzu+PZ2aYzJIFEiaB87kurpZZnnnmCeY8932f+5xqj79nzx42vfsu\nK+Li+NFkYkPA85/abNw2ahTu8eNrVSEq5DWtrGTX9u1A1epT/sdzuVwhHw/8nI0bNzJ+/Hhef/11\nunXr5rtGfTIysC9fzjIR+ppMTLZY2JqZyTXDhoU915SUFJ5++mmys7M5fvx4yNfYbDYubNWKsSI8\nWseSl0qpsyjSdwLq9FS3njo0K6vGEbH/Wui47GxpHSbD9+TJkzJr1ixp06aNtIqPr/Xosq4JQaG+\nz1QQR3Ky7NixI+j1x44dk4svvlieeuqpalsy1mXk15DZxAUFBZKcnCzvvPNOrT6zb+/ecu+999Z4\n3JEjR8qkSZPCPn86CXBKqbNLA3ETFS7QvfTSS2K328Vus0k3jCziHKs1KCPb/70uzxYa/y1P48xm\nuX7QIFm+fLksXbpUevfoUaf11roGtXABowtIjMkkv/vd7+TEiRMiYkxlX3fddTJhwoQqmcH1kfzW\nENnEO3bskJSUFHnttddq/b07XHCBLF68uMZj//DDD3LhhRfKhg0bQj4f6ueQ59nOppRqHDQQN2GB\ngWfDhg1ywQUXSKu4ON+aYC5IQrNmsmLFClm7dq0888wz0jczU3JNJt8v5n6ejFxvLeMZnr/Hg1gs\nFjGZTGIPsQa7BqR3p05y6NChoHMLF2D6padXPXdPAtG47OyggDENxAkyzmKRru3bS2pqqixZskTG\njRsn7du2lQG9e9d78lF9ZxPv3r1bfvazn8ny5ctDPh/uhqVdmzby1ltv1eoz1q5dKw6HQ44cORL0\nXKgEtBiTSebNm6cJXEo1EhqImzhv4LgyI0NaxsVJ/379Qk7xJtvt0r9/f7nzzjule9u2VYKkk+A9\nq7kg0SDNmjWT5s2biz06WqYH7KGdbjZLp9RUsdvt0q1bNxk3bpy88MILsnfvXpk+aVLQeeSazZLQ\nvLn07NlTLoiJ8WV1z7DZJMVul9Z2e9B2nbEY25A6JCfLjBkzJCUlRZpjFK1o7MlH3377rXTo0EHm\nz58f9jXhRuFt2rSRvXv31vqzJkyYINnZ2WE/w//mYsGCBRJjMjWJa6jU+UADcSNWU4ecUJWekkLs\ndQ1cE8ybPLlKUL0yzGg3AcTlcskbb7wh+/fvDzttW1FRIR9//LHMmzdPbrrpJklJSZHWrVuL3Wbz\n/bLP97x+z549cuN111UZkXtHgeOys6VtQoJ0oWqlqKkg8Z5tRDaCtyTl+015N5auQv/5z3/k4osv\nlocffrjG1wYGyt27d4vNZpOTJ0/W+vNKSkqkQ4cOsnr16hpfmzd5suRZrQ2yFq6UqjsNxI1UuJHS\n7t27Zfv27fLCCy9Ir0suCUrKcplMMt1s9rU5HMipKk8ixi/s5557TuJMJl8RChfBFajyMapGhUzw\nqmHa1u12y65du2TOnDmS0a2btIqKkvioKOnfv7/86U9/kl907x4y8F+eni4dEhNlDVQ5/+EYrQOB\nsFPknZKSZPXq1caNid+0fGJUlBQUFJyNH5nPjz/+KE6nU2bOnBm2ulV19uzZI6mpqXV+3+bNmyU5\nOVkmjhlT7Y2IJnAp1bhoIG6kwmURNwdxOBzSqVMnSTCZQu6djfPUQPYG2mmegORyuSQ2NlZ++ctf\niuvSS8XpKUIxDqPvrX9VqtpUh6qLAwcOyKpVq2TKlCnSNikpaFQ73WyWuKgoifecT1tOrVlPB4kB\niYqKkv79+gUVvpgGkpaSIhfExQWXtPR897M1Mt61a5d0+NnPpFNyskyfNOm0PvfNN9+UK664os7v\nKyoqksSoKMn1/LsIVza1Y6tWQcsMOiJWKnI0EDdS4UYtbTFKOXZp105imzWTPIsl6Bdqz65dg37R\n5prNcuN110lpaamIBI+4x5hMEu+Zpq5NdagzUVRUJG0SEnzT1tNMJokBad2ypfTASBILXLOeBpLY\nrJmveIb/qDcZI8s7XAOGrnBWgsyePXukhc0WNhDW1nPPPSd33HFHnT8/VHWuPItFfjVmTJWf9wue\nf0N1qWCmlGo4WtCjkUp3udhks1V5bA3gAJYDWfv3E9OsGS/GxTHTZmMtRk/Z5XFx2KOjjeIefq5x\nuyk5dIjY2FgguDiF+Y47iLHbybTZGAj82XOs3Fmz6v27ORwOCj/9FCZOZK7TiWXSJLbt2kVaSgoz\ngChgUMB7soDkkyf51dixXJmVxfK4OKZhtP/bCixyu+nouUb+NgGXAOtXr+bf//53vX8XL7fbzbDB\ng7m7ooLHRU67eEZxcTHPzp/Plo0ba1U0xd8n//oXA/wKkhQD+ysr+duzz9I9LY2sI0eYU17OaGA7\nUGAykduqVY2FTpRSDUsDcSOVO2sWy+PimI7RTH46sBR4CSMozQOy/+//GDpsWFBFp179+gUF8U02\nG+lOZ5XHHA4Hjz35JOsLC1m0ZAlbduyodRWqeiMCQHR0NJf17892m40bgPUBL9sEpAPFu3Zx8OBB\nYqxW5gGPYdycAEwFnjWZyMO4ZjMxblpaWixY4uLo2rUrw4cPZ+3atVRWVtbjVxDy8vL4/ttvucbz\nfbz6l5fzxt//zoYNGygrK6vyXGDlscLCQvpkZJD50UfMPXAA88KF9MnIqFUwPnToEF8WFbEWIwDn\nYNyAXIjRj3qM283fAW+HYgdwn+dcdxQW8sTs2XUK+kqpehTpIbkKr6ioyNdvtqNnzbY2CTaNvc1d\nqPNrbbfL7bffLjEYzQ78+wjne6bkx1mtcusNN8jcuXPlki5dgtaD8ywWGTJokCRGRUlXgouZHD16\nVObPny+9evWS1NRUuf/+++vlmtx3332SkZEhk8aODVk8o2/v3tK3b1+JjY0Vp9Mpl2dmyqUdO0pi\nVJRvij3fZpMWVqvcHfCdarM8UFxcLF27dpXRo0dLtGfa2elZYghaL6dqNnqm9xr71c1uDFnnSp1P\nNBA3ct6g5fJkOdf2l3RjbnPnn4jmzY7ugpGIlpSUJCmJiZLRoYPEm83SKURAFQm9dctus0lqaqrE\nxsZKWps20jUlRa4bOFDeeeedoMYVH3/8sUycOFESExPl2muvlVdeeaVO24W8/NsZ1nQDtHPnTkmO\ni5OxJpN096zR+meH9wbpxKl+yuM8AbVDcnLYn9/XX38taWlpMnv2bMnOzhZnRoZMN5tDNsHwViob\n7vnMOL+gLCB3gzaIUCoCNBA3AfVVS7mx8CaiFVE1O3oqSGJ0tHz99dciUvPNRLjnv//+e1m/fr38\n8Y9/lOHDh0u7du3EbrfL1VdfLTNnzpSVK1fK7t27xe12S2lpqSxZskT69u0rbdq0kd/85je+z6/J\nkiVLxOFwyL59+2o8JxHjBiTHapW2IN08Mxz+398bHB/3jFzv9gTNLp4AuXnz5ir7pLNvv11SUlJk\nwYIFsnv3bmnZsqX88uc/9x1rRuCNm+d4Dk/QHxzw/HCCt7HlWSySO3Himf7IlVLVMIkELGqpRqu4\nuJgnZs9mx4cfku50kjtrVpNMsLlr5EgSVqzALIIZmOP33EybDff48Tz25JP1+pmHDx9m69atfPTR\nR74/ZWVl9O7d2/enRYsWvP766yxbtowePXowbtw4brjhBqKiogC/619YSGxSEu9/9BGbN2/2dVKq\nySCnkxZbttAecANvYiSmtcBY/87FWPPeCNiAPcAYjMS19cBCIKp5c+6uqGBAeTlrgRdjY/l4504e\neOABWrduTdnRo5gXLmRqeTl9gBFAf2AdsAoYAnwK7AKGA8/4nV9XjNyDLIx15ieA94DPgUv69OFX\nv/oVGRkZPP/MM+woLCTd5eKWUaNYtWyZ7+9N9d+kUpGkgVidNZ988gkPPfQQb7/9NlJWRvKJEzwB\nVVo2rgXmOp2sLywMc5T6c/DgQbZu3eoL0Fu2bMHtdnPppZcSFxfH119/zTfffMMdd9zBddddxx03\n38yI0lL6e4Lg3+Lj2fK//1urwFNcXMxNQ4awf8cOLgfuAG4HJgADMZLRlgOPANOAzsDlGIHZaxrw\nL2CL32MzbTaOjRjB3199lV27dlFWVkafjAxGlJbSo7ycP2ME9D5AG4xkv1sxAvz1wEjgGoxkvr+a\nTNxVUcF0t7tKEF8L/NVkotxmw3LyJDkYP7N/WCwsd7uZYLEwoKKCTZ5Me83AVqpuNBCrBvfBBx/w\n0EMP8cknnzBjxgxycnL44YcfuGnIEC7bsYPH/V7bUCPi2hARDhw4UGXUXFhYyMmTJ6k8cYLxbjdP\nnMa5ensO315SwoCKCtYDS4BsqPrdgXcAARKBPIJvUu4BPgx4bGqrVtxw55386U9/8n2ed+YkrXt3\nADavWUPC4cO8JOLLMr8b2JScTGqbNpwUwVRRwa49e+h88iSXi1S5CZhps7GuXTv6797N455fGfme\nc517GtdEKeUngtPi6hwRqr6z2+2WN998U66++mpp166dzJ8/39fG0P99jSm7O9T3+Omnn2TZsmXy\ns7i40y4LGapKWpcwyVSJnrXjUGu8uSaTuAJqdHurrb366qs1frfAa93Gbhen01klQSvHapULQlRs\nWwPiiI2t8ni4hLBenTr5CseEu65KqVM0EKszEvgLPt9mk+S4OOnVq5d06dJFlixZUm02cmPJ7i4q\nKpIUu11cJpM4QTJAYk0mSTSZJM5mEyvBzSZqW3ksVJW0UIlRuSA9MbZtBSay5ZpM0tpulxS7Paiq\n2N0YPZvvvvtu2bZtW9igF+paT580KagKm7deeeB3daanV7mhyCO4Atp0i0U6XHihxMfHy9ChQ+XR\nRx+VNnZ7o7nZUqox0kCsqlXTaCbUaG8ayPWDBklFRUWEzrruxmVnS6In8HlLQE7lVDZ3c5AoTpWF\nnAqSHBtbY0Bxu92SmZERFHRzrNYq+4i9QfVWkFjP31/wBMUki0XGZWdLUVFRlb3l/h2q8m02Se/a\nVWI8QbS2QS/UTcILIC0slqDg6S0v6n08x2qVWJMp5HanH374QZYuXSrdOnQ47RsYpc4XWllLheVd\n2zQvXEjeli3IX/7Cxe3b81/XXsvs2bPJzc1lxbPP0t+vrCIY65o/HT2KxWKJzImfhjfXrOEujAzu\nbRjJTDOADcBO4GIgymzmH0lJPJyRwfc330xFs2Z8//33QcfyVswamJnJpRddxInKSlYlJFQpRfpa\nfDxr3nmHH0eOZJTZzMsYyVR7McrdLW7WjGczMug7aRIf793LoiVLcDgcOBwO7NHRPEHVqmIDyssp\nO3KEiRYLc91uX4nN22sosRmqlOqnNhu3jhoVVGXN5XJVKYsaN2ECmz74AJkwIagaW2JiIqNGjcJx\nwQUMDvjM/uXl7PjwQ5RSHpG+E1CNV97kyZIf0Lc2D2MPagxGW8JQ/YGb4oina6tWvpHhQELv8Y3H\naC7hHfWtXLlSUlNT5eDBg77jBBYayTWZpE1CwqmKVQFT8KFmFHLNZl/bylCmTZwYNMKebjZX+Q7+\na7bpDkeVNVt/Db1OH+r7NcV/H0o1JA3EKqwrMzJCJyh5pk6be4JxDPg6KTXVNcBx2dm+SldOjNKP\nQclSnoDsH0juu+8+6dOnjy8Rra6Bp7a9gb1LBP169JDWdrvYQS4EudRzYxQNct3AgSFLbHbv2FFS\nUlJk9uzZUlJSEnQODblO39gS8pRqjHRqWoVUXFzMnuJi1gY87m2+cA3GtGhCVBR3TJjg66TUVDv5\n/P4Pf2Bp8+b0ADIw9t72D3jNNcAOqk6t3nPPPbRr146xY8ciIuwoLAyaqq9uKjbd5WJjDQ06vEsE\npQsW8MWnn3LdsWM0A24GHgb6AhaTiffefJMFlZV0Am4Cxlut/C0+nnVvvcXGjRvZunUrHTt25JFH\nHqGkpMR3fP/mH489+WS9/uwCu3w11X8fSjUk3Uesgnh/8Q8+coR/YhR2yOJU0YkC4M8Y65k7gNLE\nxCb3y9W/StYlTicJrVrx6MMPM+bkSR4XIQeII2CPLEZFLHPAXtkTJ05w5ZVXMmzYML4/eBDzwoXM\n8QvG1e2tLS4uptdFFzGitNS4xiGKYuRPmYJ54ULc5eWYvedA1Ypk0zGqYaUCy4ChwD+ioljzzju4\nXC7f6z7//HMefPBBNm7cyLRp05g8eTJ2u/1ML6dS6kxEeESuGiH/BvNFGM0HWnqmQF/wTNm2BRkT\nYqq2KQicLs01mSTOYpE+3br5pom924fyPFPF3qzmwOYTXt9++604HA5ZuHBhradivVPCbWNiJKl5\nc6NrUnq6FBQUVHmdd/rau2833P7dgd6p8Fr8XHbu3CmjRo2SpKQkuf/+++XIkSP1d4GVUnWiU9Oq\nioqKCt58/XVfg3kHsAij7vAu4CGMkfAQjHKJuTS9LNgnZs9mRGkpc8rLyQIeF2G82YzbZmOdyQQY\n37sAeB+jAtXfW7akW0YGcRMmhBz9t23bltWrV/Pb3/6WZ5Ytq3Eq1jvrwPz5PFtWxugTJ7ACPXfu\n5MbBg6v0BvZmNqdzamlgU8B38j4OxpR64BR6oG7durF06VLef/999uzZQ6dOnbj33ns5cuRIUJ9k\n7VOsVAOL9J2AiozA/cH79u2T5cuXS+fOnSWtbVvJC8iWzvWMjL0t+1yevzfFLFj/BClvG0IniCMh\nQaL9RsHekf8LIZKnwnn55ZfF4XDIgQMHqn1dyKSuMCNZ7wg+x2qVZJCxVO3XnOs5z6KA4+RZrbX+\nuXz11Vdy1113id1ul8ToaF/WtyZXKdXwNBCfhwKnZvMsFokzm+XSSy+VjRs3yv79+4OqZcWaTJLj\nKdwwlVOlGJvaL+qKigrp6HDIVIKrV03DaDfYw3Oz4S2YUdcbjQcffFAyMzOlrKws7GvCZkvXlDWd\nkSHO9HRxde8uzvR0+cVFF0liVJSM82St53qWETI8P6Mbhwyp089mzOjRkhtQRjM/xI2BlqxUqv5o\nstZ5yJv8459QlG+1IuPHM/epp4Dglou+dnd+jQT27dzZ6Nsx+idldUxP53/WrOHo0aO0sFpJKy2l\nb0Bzg3yLhQWVlUy02RhQXn5aHYVEhFGjRlFZWcmKFSsweaa7/YX6GYRLBqvtd9z67rsc/ekn9nz1\nFXe53QzGaAqxskULPvzss1qd/yCnk7wtW4KaTdwdE8Mf/vxn+vfvT9+f/9zXhWqj1cpzFguXdO1K\n5hVXNOp/C0o1WhG+EVARUNu9q01d4Mh/Kkis2SyffvqpFBUVhS2AkZGWdsb7ak+cOCEul0vuv//+\nas8tsMRluGSw2go15T0VZPxdd53R++3R0WKz2XxlPgOXLYY3wdkRpRoLTdY6D4Uqaxi4d7Up85WY\n7N0bx9GjTPUkZc0DJlgsLFm0CIfDwZBbbgm6DmtNJq4eMuSM99VGR0ezevVqnn32WVatWhX0vHd/\nrUyYwCMZGfwrPb3aZLDaCrWPeTCwesUKJufk1JiAlTtrFsvj4nzlOPOtVp41mejesydRZjMxVG3N\nCMb+6h8xSmqOqKGkplIqhEjfCaiz71yudhS0/h2QyOQ/8i8qKpLWdruvScJUkFbx8fV6HT755BNJ\nSkqSLVu21NsxqxNqRJtvs0mc2Sy53iS0Gn7egZW2Vq5cKbEmk2R6ktrCVRw7V2dWlGpoGojPU42l\n/WB9qy4bOTDD29v60OkJMpkgKXZ7vV+LV155RS688EL55ptv6vW4oYS6yUqMipJxAVnwdUlA/eeg\n0gAAE5VJREFU89YcD1eDu4Xfjc5UkIs7dZKNGzdKZWWlJnYpVQsaiNU5Jdz6d2aIkeDZbEjwxz/+\nUXr16iXHjx+v92MHCrzJ6tejR8hrckVGRq0Cpfea5nkCsHfL10CMIi89/UbabRIS5IEHHpAePXpI\namqqtIyODtkmUSl1igZidU6ZOGZMcDKR2SwdW7UKCjRnM2nN7XbL6NGj5aabbpLKysp6P351wvWM\nbm6zSbzF4puyzg+TKOZ9f+B2r1yzWVrb7TIuOztoZsXtdsvIm28O2grV1PacK3U2aCBWTVbgaO7N\nN9+U1NTUWhekyJs8+awGip9++kkuu+wyueeeexrk+OH4T1e/4BnFJoLEYhQHqW7PcKj3u0wmSbJY\nZFx2drWj2/MlO1+pM6VZ06pJ8paINC9cSN6WLTB/Ptf378/UqVPZvmuXsSe6hm4/v7jySp4BZngy\nhGd69gznzprVIOccFRXFK6+8wvPPP8+KFSsa5DNC8WZoHxsxgskWC30xmneMBf4Ho1mE14AQZTH9\nOygtdTrpO2kSH+/dy6IlS6rN7j7Xs/OVqi/WSJ+AUqfDv140QFZlJVitHNi3z9fWLxRv8YvtBQXs\n+Pprfvfwwxz+9lvmegqXFDRwQYpWrVrxz3/+kwEDBtChQ4cqnZEaksPhID4+nhyzmTmVlYCxDcmE\nUUfcW9RkLYQMlNVd03ByZ82iz4svgqf4h684SgPd6CjVVGllLdUkhasANdfpZH1hYcj3eEfR3qpQ\n60wmViUkRKSF46uvvsqECRMoKCg4a58d7prlYgTjdcDzUVFs/+qrejunwAptWnlLqWA6IlZNUrrL\nxaZt28jyK15R07Rn0ChaBKunAEVdR3tn6vrrr+fLL79k6NChvPfee8TGxjb4Z4a6ZuswehvnAoc8\n/YvrM1CezkhaqfONjohVkxQ4uq1NTejTGUU3JBFhzJgxHD16lJdffhmzuWFTNgKv2UabjefMZi7p\n1o3Mfv10tKpUhGiylmqS/BOIakrK8mpsyUMmk4n58+fzn//8h9///vcN/nmB10zGj2f7V1+xedu2\n0y7lqZQ6czoiVueN0xlFnw2HDx/G5XLxwAMPMGrUqNM+jn+nqXSXS0e4SjUROiJW543TGUWfDcnJ\nyfzzn/8kLy+PDz744LSOEbidy7xwIX0yMsI2d4gkb1OOmhpQ1PZ1SjV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WC8dHj9ZELaWa\nKF0jVqqJ8CZ0bX33XU643USZzWT266f1mpVq4jQQK6WUUhGkU9NKKaVUBGkgVkoppSJIA7FSSikV\nQRqIlVJKqQjSQKyUUkpFkAZipZRSKoI0ECullFIRpIFYKaWUiiANxEoppVQEaSBWSimlIkgDsVJK\nKRVBGoiVUkqpCNJArJRSSkWQBmKllFIqgjQQK6WUUhGkgVgppZSKIA3ESimlVARpIFZKKaUiSAOx\nUkopFUEaiJVSSqkI0kCslFJKRZAGYqWUUiqCNBArpZRSEaSBWCmllIogDcRKKaVUBGkgVkoppSJI\nA7FSSikVQRqIlVJKqQjSQKyUUkpFkAZipZRSKoI0ECullFIRpIFYKaWUiiANxEoppVQEaSBWSiml\nIkgDsVJKKRVBGoiVUkqpCNJArJRSSkWQBmKllFIqgjQQK6WUUhGkgVgppZSKIA3ESimlVARpIFZK\nKaUiSAOxUkopFUEaiJVSSqkI0kCslFJKRZAGYqWUUiqCNBArpZRSEaSBWCmllIogDcRKKaVUBGkg\nVkoppSJIA7FSSikVQRqIlVJKqQjSQKyUUkpFkAZipZRSKoI0ECullFIRpIFYKaWUiiANxEoppVQE\n/X+afYYcRqefNAAAAABJRU5ErkJggg==\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import networkx as nx\n", "import matplotlib.pyplot as plt\n", "BA= nx.random_graphs.barabasi_albert_graph(500,1) #生成n=20、m=1的BA无标度网络\n", "pos = nx.spring_layout(BA) #定义一个布局,此处采用了spring布局方式\n", "nx.draw(BA,pos,with_labels=False,node_size = 30) #绘制图形\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "collapsed": false, "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "data": { "text/plain": [ "[0, 334, 80]" ] }, "execution_count": 3, "metadata": {}, "output_type": "execute_result" } ], "source": [ "nx.degree_histogram(BA)[:3]" ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "collapsed": false, "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "data": { "text/plain": [ "[(0, 9), (1, 23), (2, 13)]" ] }, "execution_count": 4, "metadata": {}, "output_type": "execute_result" } ], "source": [ "BA.degree().items()[:3]" ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "collapsed": false, "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "data": { "image/png": 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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.hist(BA.degree().values())\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 24, "metadata": { "collapsed": false, "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "data": { "image/png": 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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from collections import defaultdict\n", "import numpy as np\n", "def plotDegreeDistributionLongTail(G):\n", " degs = defaultdict(int)\n", " for i in G.degree().values(): degs[i]+=1\n", " items = sorted ( degs.items () )\n", " x, y = np.array(items).T\n", " y_sum = np.sum(y)\n", " y = [float(i)/y_sum for i in y]\n", " plt.plot(x, y, 'b-o')\n", " plt.legend(['Degree'])\n", " plt.xlabel('$K$', fontsize = 20)\n", " plt.ylabel('$P_K$', fontsize = 20)\n", " plt.title('$Degree\\,Distribution$', fontsize = 20)\n", " plt.show() \n", " \n", "BA= nx.random_graphs.barabasi_albert_graph(5000,2) #生成n=20、m=1的BA无标度网络 \n", "plotDegreeDistributionLongTail(BA)" ] }, { "cell_type": "code", "execution_count": 23, "metadata": { "collapsed": false, "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "data": { "image/png": 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Ev2mZRpWJ9KZ0BZjz05SvSEI0qkwk89LSRJZt1ERWeOKNKlMfjEhysrIPJtso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\nNeGfK4DKNttLSqoYO/b74eO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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "def plotDegreeDistribution(G):\n", " degs = defaultdict(int)\n", " for i in G.degree().values(): degs[i]+=1\n", " items = sorted ( degs.items () )\n", " x, y = np.array(items).T\n", " x, y = np.array(items).T\n", " y_sum = np.sum(y)\n", " plt.plot(x, y, 'b-o')\n", " plt.xscale('log')\n", " plt.yscale('log')\n", " plt.legend(['Degree'])\n", " plt.xlabel('$K$', fontsize = 20)\n", " plt.ylabel('$P_K$', fontsize = 20)\n", " plt.title('$Degree\\,Distribution$', fontsize = 20)\n", " plt.show() \n", "\n", "BA= nx.random_graphs.barabasi_albert_graph(50000,2) #生成n=20、m=1的BA无标度网络 \n", "plotDegreeDistribution(BA)" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "\n", "# 作业:\n", "\n", "- 阅读 Barabasi (1999) Internet Diameter of the world wide web.Nature.401\n", "- 绘制www网络的出度分布、入度分布\n", "- 使用BA模型生成节点数为N、幂指数为$\\gamma$的网络\n", "- 计算平均路径长度d与节点数量的关系" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "" ] }, { "cell_type": "code", "execution_count": 17, "metadata": { "collapsed": false, "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "10\n", "100\n", "1000\n", "10000\n" ] } ], "source": [ "Ns = [i*10 for i in [1, 10, 100, 1000]]\n", "ds = []\n", "for N in Ns:\n", " print N\n", " BA= nx.random_graphs.barabasi_albert_graph(N,2)\n", " d = nx.average_shortest_path_length(BA)\n", " ds.append(d)" ] }, { "cell_type": "code", "execution_count": 19, "metadata": { "collapsed": false, "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "data": { "image/png": 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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.plot(Ns, ds, 'r-o')\n", "plt.xlabel('$N$', fontsize = 20)\n", "plt.ylabel('$$', fontsize = 20)\n", "plt.xscale('log')\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "# 参考\n", "* https://networkx.readthedocs.org/en/stable/tutorial/tutorial.html\n", "* http://computational-communication.com/wiki/index.php?title=Networkx" ] }, { "cell_type": "markdown", "metadata": {}, "source": [] } ], "metadata": { "celltoolbar": "Slideshow", "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 }