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@xccds
Created December 14, 2014 01:08
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{
"metadata": {
"name": "",
"signature": "sha256:717a0182270ff2fde166942eadef6096a338010a807efe90cfb9313f18690d24"
},
"nbformat": 3,
"nbformat_minor": 0,
"worksheets": [
{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### \u7528pymc\u5b9e\u65bdMCMC"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"%matplotlib inline\n",
"import matplotlib.pylab as plt\n",
"from pymc import *\n",
"from numpy import array, empty\n",
"from numpy.random import randint\n",
"\n",
"# \u77ff\u96be\u7684\u53d1\u751f\u6570\n",
"disasters_array = array([4, 5, 4, 0, 1, 4, 3, 4, 0, 6, 3, 3, 4, 0, 2, 6,\n",
" 3, 3, 5, 4, 5, 3, 1, 4, 4, 1, 5, 5, 3, 4, 2, 5,\n",
" 2, 2, 3, 4, 2, 1, 3, 2, 2, 1, 1, 1, 1, 3, 0, 0,\n",
" 1, 0, 1, 1, 0, 0, 3, 1, 0, 3, 2, 2, 0, 1, 1, 1,\n",
" 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2,\n",
" 3, 3, 1, 1, 2, 1, 1, 1, 1, 2, 4, 2, 0, 0, 1, 4,\n",
" 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1])"
],
"language": "python",
"metadata": {},
"outputs": []
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"# 1851\u5e74\u52301962\u5e74\u95f4\u82f1\u56fd\u7164\u77ff\u77ff\u96be\u53d1\u751f\u6570\u5b57\n",
"plt.figure(figsize=(12.5, 3.5))\n",
"plt.bar(np.arange(1851, 1962), disasters_array, color=\"#348ABD\",linewidth=0)\n",
"plt.xlabel(\"Year\")\n",
"plt.ylabel(\"Disasters\")\n",
"plt.title(\"UK coal mining disasters, 1851-1962\")\n",
"plt.xlim(1851, 1962)\n",
"plt.plot(np.arange(1851, 1962), expected, lw=4, color=\"#E24A33\",\n",
" label=\"expected number of text-messages received\")"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
"png": 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SdwC3A1sAPwUeBjyaJpCvqaovJtkZ+FhbBuA1VXVGkjHgrcBNwCOr6hH9tl6S\nlg4DuCSNiCT3pxn5/iVwAs1jko9uH5n+DZrR8QLWVdUvkuwKfKKq9m4D+AnA7lX1g/l5B5K0NPgo\nekkaEVV1e5JP0Yx+vwh4dpI3tJs3A3YCrgPel2QP4C5g14FDnGn4lqTuGcAlabSsa78CPL+qvje4\nMcka4NqqelmS5cDPBzb/rLdWStIS5l1QJGk0nQS8duJFkr3axZU0o+AABwHLe26XJC15BnBJGj1F\nc0HlJkm+k+R8YG277f3AwUnOAR5BM11lcD9JUse8CFOSJEnqkSPgkiRJUo8M4JIkSVKPDOCSJElS\njwzgkiRJUo8M4JIkSVKPDOCSJElSjwzgkiRJUo8M4JIkSVKP/j+HlFY6Lzaw/gAAAABJRU5ErkJg\ngg==\n",
"text": [
"<matplotlib.figure.Figure at 0x10a583b90>"
]
}
],
"prompt_number": 35
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"- \u4ece\u56fe\u4e0a\u770b\u77ff\u96be\u53d1\u751f\u6570\u5b57\u6709\u4e00\u4e2a\u8f6c\u6298\u70b9\uff0c\u4e4b\u524d\u7684\u6570\u5b57\u6bd4\u8f83\u9ad8\uff0c\u4e4b\u540e\u7684\u6570\u5b57\u6bd4\u8f83\u4f4e\u3002\n",
"- \u6211\u4eec\u9700\u8981\u5229\u7528\u8d1d\u53f6\u65af\u65b9\u6cd5\u5bf9\u6b64\u5efa\u6a21\uff0c\u5e76\u627e\u5230\u4e09\u4e2a\u76f8\u5173\u53c2\u6570\u7684\u5206\u5e03\uff0c\u5373\u8f6c\u6298\u70b9\u7684\u65f6\u95f4\uff0c\u524d\u671f\u7684\u53d1\u751f\u5747\u503c\uff0c\u540e\u671f\u7684\u53d1\u751f\u5747\u503c\u3002\n",
"- \u5047\u8bbe\u8f6c\u6298\u70b9$\\tau$\u4e3a\u5747\u5300\u5206\u5e03\n",
"- \u5047\u8bbe\u524d\u671f\u53d1\u751f\u6570\u670d\u4ecepossion\u5206\u5e03\uff0c\u53c2\u6570\u4e3a$\\lambda_1$\n",
"- \u5047\u8bbe\u540e\u671f\u53d1\u751f\u6570\u670d\u4ecepossion\u5206\u5e03\uff0c\u53c2\u6570\u4e3a$\\lambda_2$\n",
"\n",
"$$\\begin{array}{ccc} \n",
"(y_t | \\tau, \\lambda_1, \\lambda_2) \\sim\\text{Poisson}\\left(r_t\\right), & r_t=\\left\\{\n",
"\\begin{array}{lll} \n",
"\\lambda_1 &\\text{if}& t< \\tau\\\\ \n",
"\\lambda_2 &\\text{if}& t\\ge \\tau \n",
"\\end{array}\\right.,&t\\in[t_l,t_h]\\\\ \n",
"\\tau \\sim \\text{DiscreteUniform}(t_l, t_h)\\\\ \n",
"\\lambda_1\\sim \\text{Exponential}(a)\\\\ \n",
"\\lambda_2\\sim \\text{Exponential}(b) \n",
"\\end{array}$$"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"- \u5148\u5b9a\u4e49\u5404\u968f\u673a\u53d8\u91cf\u548c\u89c2\u6d4b"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"# \u5b9a\u4e49\u5148\u9a8c\u6982\u7387\u5206\u5e03\n",
"# \u8f6c\u6298\u70b9\u670d\u4ece\u4e00\u4e2a\u79bb\u6563\u5747\u5300\u5206\u5e03\n",
"switchpoint = DiscreteUniform(\n",
" 'switchpoint',\n",
" lower=0,\n",
" upper=110)\n",
"\n",
"# \u524d\u671f\u77ff\u96be\u7684\u53d1\u751f\u670d\u4ecepoisson\u5206\u5e03\uff0c\u6b64\u5206\u5e03\u7684\u53c2\u6570\u670d\u4ece\u4e00\u4e2abeta\u4e3a1\u7684\u6307\u6570\u5206\u5e03\u3002\n",
"early_mean = Exponential('early_mean', beta=1.)\n",
"\n",
"# \u540e\u671f\u77ff\u96be\u7684\u53d1\u751f\u670d\u4ecepoisson\u5206\u5e03\uff0c\u6b64\u5206\u5e03\u7684\u53c2\u6570\u670d\u4ece\u4e00\u4e2abeta\u4e3a1\u7684\u6307\u6570\u5206\u5e03\u3002\n",
"late_mean = Exponential('late_mean', beta=1.)\n",
"\n",
"# \u7528\u88c5\u9970\u5668\u5b9a\u4e49rate\u548c\u5176\u5b83\u53d8\u91cf\u7684\u786e\u5b9a\u6027\u5173\u7cfb\n",
"@deterministic(plot=False)\n",
"def rate(s=switchpoint, e=early_mean, l=late_mean):\n",
" ''' Concatenate Poisson means '''\n",
" out = empty(len(disasters_array))\n",
" out[:s] = e\n",
" out[s:] = l\n",
" return out\n",
"\n",
"# \u5b9a\u4e49\u89c2\u6d4b\u6570\u636e\u7684\u5206\u5e03\u51fd\u6570\uff0covserved\u4e3a\u771f\u8868\u793a\u6b64\u53d8\u91cf\u7684\u6570\u503c\u4e0d\u53d1\u751f\u6539\u53d8\n",
"disasters = Poisson('disasters', mu=rate, value=disasters_array, observed=True)"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 84
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"# \u53d8\u91cf\u95f4\u5b58\u5728\u4f9d\u5b58\u5173\u7cfb\uff0c\u4f8b\u5982rate\u4f9d\u8d56\u4e8e\u4e09\u4e2a\u53d8\u91cf\uff0c\u800crate\u53c8\u662fdisasters\u7684\u53c2\u6570\n",
"rate.parents\n",
"rate.children"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "pyout",
"prompt_number": 85,
"text": [
"{<pymc.distributions.Poisson 'disasters' at 0x10c513f90>}"
]
}
],
"prompt_number": 85
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"# \u53d8\u91cf\u5185\u5b58\u653e\u7740\u6570\u503c\uff0c\u968f\u673a\u53d8\u91cf\u4f1a\u7ed9\u4e00\u4e2a\u968f\u673a\u521d\u503c\n",
"switchpoint.value"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "pyout",
"prompt_number": 86,
"text": [
"array(6)"
]
}
],
"prompt_number": 86
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"from pymc import graph, MCMC\n",
"graph.dag(MCMC([switchpoint, rate, early_mean, late_mean, disasters]))\n",
"!dot MCMC.dot -Tpng -o dag.png\n",
"from IPython.core.display import Image\n",
"Image('dag.png')"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "pyout",
"png": 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7kpkpoGDDRi0bwqXem8osSxz+B3D2NMODH3WlEwMBPjrx+0iYoNCXbVzqxb6v\nOpwOVDs0wC1bsRR6ilnfcu/tFbNuUaWtGrWmhIICSaiAF1XahaajzkxMqQk3koXoMxRaDv8+NwRQ\n7ETxkD3IUOkxmxRyYpIkiNKJyuRtNsUsr67Yjdlk7O/EDwG07Vg94pNRxUtF01AstOZsuKNdB6PE\nBy8DqlN1IICm7CHq6J3VI/5i0QCOI9Hn1LGEBT0IffbGsZxepv9ZD5x++ummFY0jfjXlygmWnJlk\nmDpROnQ/xdSCBw0a5KKjEJgKPKO6HZrO6N5zykF33KuiPilNOw1xN47wc3UQHvf6Jal8aoMXoE2v\nLh3NvERDgMW++ojLMYGBobNwCB3bx77gCSog0k8mM2wbpUfjyQWCvJkkmWCaocblgbpeMzEs0S+K\n6ZU/l4r5u40jgMgce1BV0LIVWbYy+sZTLu0bRKIgagGDFfazxTJZKm2tkpEbtr+YF2GDh2gVEXoU\n5jWlRE8dg5h9qrpmM6aJCYRTeRHAvIqoJYxtSCYK4UsFMckQBuypiPuIEgu2dBQqPc5Y+J6fy48A\n+2Hqjs9ibLICQ7yKuIi9yEon9q6IHRrWC0cYTOSc4ocAjIUQY9g9YsyN7WO6LWr8Stxwifj9qJvN\nQB3BW50IsYeNr1PpEGAbhrEsdJ5BaLcolCkjYZIhDAzALGnxMMJApaF/bGbIPoNTeRFgo5qgzWp2\nYEoHiFeJyVeNpO66zPMRe6uIWfB25JO28rc0xu8wQ7woMT6w+sdbS6WtHBtCEgcpeNUK68j2Bd6K\nuO9UHAQIZE+/wgsUK0f2skPPV1HkGCmTTC8QAxUR7AngiRiCzoLroUKWvenp+3XjCBCc9ZxzzjE3\negxKuKxixa/2Xo1/XAVv0NcGDx6cGrBwsYaHGwJsO5UGASbIGsDA3D4ygDFpIcB0LtqFpSlptLmw\nsmT7Ao8u1BspG+YjjItOhSOAJQF6MTBEJsPwGdza4XYxaioakwwLSmXUEDxQZ+SmjUiH0cgXwaWX\nXmp+BatBzBfWtdxnXKrxw8SPLJvVMEb8imoMzsSvpPD1qc6fTf0bXFA6Y7BGRFvJYr5y97nM/BF5\ngTU+QBHls0+MW0HsQxGFJdH8hT1K/NmG/m4xQ2CyxmoHvJyyQ0Ad6wcPP/ywiekxUaNv4buWlXtd\n7iSzS7Xxtxp0S6eDSaSEF3gCueLaSQdzixGJlweichCWhsgZ6ZHOI828ChNTMZWo8o25VRqn0SQI\nEMs9QoERRFiVWIQgwdqZqrD2+VVJfxIWp1K1J0WdxgsBuAn9RYBxvJLQBwlvVqkeffJDJf+vwJPA\n4bj2IooK7uOImEGkCiLq4EqOSD51RXzPP9fK/BKslDGaxx6dMJjnJcY/dSxhWBEJqVQh0yoFQaJz\nwCtwi0okJSIk6eRL8PyGBzCC2xebSsok0ytDh1FxoKg3Fxk7dqwN8LrqtE7CwA4Q4UFHSjqB14wZ\nM+xHBmPkAD9cx+HLk0kGkw1+cASrdsoOAUKo0QcZ3BnkCcul4hvR/XRjlmEfJBirTzbEJrZh/wvP\nhNDCJSNBigk5Rh8kRJxTwwgQUzb01asRMixWqTpqEXWWYQd4qkSo4USq6Kmuqm3SShjB8MANpTqw\nESYQuKdUbzkld59XNiaZ2bYEINa9IlEFC2MEzLhmavBXqGPHjrY60lBTEh6sOKt1dkrcRgJKpx/E\njFMPP7bqYQBitcNB0GZifzpFgwDxRonTR//jYKXJRAR/qTDOsP+F5zZt2kSTccxSUa1gWyFm9kH8\nzkKqxZnqg6pNKBqiSzS0VsxqUTnFYaLBSonYnRwa4spWTayUwJa+RwxcfvvE1630CRsSLyYJ/L6Y\n7HOmzvjAhikyQWCyQAxhJqrl7FuxYZJ1dWeYBQMVgXD5sQKqbsxapHjd2zTmyY8VJopjaI7wmtUn\n78SRGHRV088mAbpfYWcmBFyzWqTekO7l2I+CAZkZJitsfiguCixdq/Jjpv+poomoSn9q4sKEBcJJ\nOcGz0/te2BdZ4RM8Oo6kugC2Kkzvf2EfJDg593mHVbUqfFn/ow/S/xi0qLdT8RBAqsaCgYNtARgI\n4wakNqXSuXNnmxwzQU4/4iR1QzSKZEadftQ4GOM4eM5Ch35F9BH6FsyR/+M0dseaSdbVBVlxwihD\nhskPOzxgPCzZIdWotWW5apVJ+sGPW4PD2kFnS7+mwdifYtaSeWbAoFHJP/PMXqvaiqYitofXDKSq\nnmyHalpKeDBrDEk9jKQYO4Mrs0REe+o/1eTwamgthOkp50wqLKuf/0BAjeCtD7IfB1MJ+yBnBriQ\nmBWn9z+uWX2yMk3ve+E1EyP6Xmb/439WD3X1P/ojKz9VbLB+GPY/zhzqhivV98I+yEQs/bdCNJKQ\nuXMOGSNn73tha5b2zATt5JNPtrGAMHGq/CPs0bHqYgyE0cCA6HMhA2VSw34wB9sunDVou6hWsfU5\n+l140OeYxIX9Lf3MeEdfyzzoZ+ppqNbBPjSiUSKlhGf6GNtEEHmGzJxJJUwexshYx1gdZ6o4JtkQ\nmAwWiIM0iLOw1xQOCOGZezCocPCgAxSDYHwwYDoGTJmBkY6aPljSeRmMuFcf3XTTTaKaqdaZ1AGA\nMdP63vX78UGAiREDFwNG2PfCM30QpsVAA1NLZ6hR1oABL2S86hGrRt8L+yN9Up092+GMMEr0C0+L\n/oNyCoxQbc/tur5Umeww7jFZo8+lMyoYFn2PCTt9LmSm9aWV630mdYxzMOF0xgyD5kCaAnOM0wo3\n1zpWFZPMtfKqjl5j9s3Mrb6ZOrN4Bp66Vpl0lPRVaZQzI/WranEU+RHANMsV0zFXbP397BBggAsn\nbTBNpBKZkgr+V1MV27s566yz6uyHrAhCpkhfdJF8dvjH8S00r9VrmSntqO9RE+dHVU7GvHAlSL+D\naWauFvk/HO/SV5dcI20LV6Kcoxzroqpj1OkkmklGDWax0qNjn3LKKSZ2Ofzww2XYsGHCatUpOQgg\namPAZG/eqToRYDLE9orGqhR1nC7Dhw/3yU4Mmjqemi0xACZORWBVoF5LRA1p5aGHHpIePXrYvkSc\nyuhlcQQcgfwRQJ8CG131Sibqc1hGjBjhDDJ/OCP90plkpHAWNzGcA7Bpz54S5h+sKJ0cAUegshF4\n6qmnTLMTfQlsT/v371/ZFaqy0juTrLAGxW4K5wsae8803/CsgyKIkyPgCFQWAuxHa3hB87aDAwZ1\n5yfqGL2yKpGA0jqTrMBGxoaIHxeuwHAygIExbumcHAFHoDIQQOMUd31DhgwxEeudd95pdtGVUfpk\nldKZZAW3N4a3iF/xuqNRVmx1yea/kyPgCMQXAdwfYiOIoT3enY466qj4FtZLJs4kK7wTYKyu8erk\nhhtukKFDh5obJ7ylODkCjkC8EMCwXkPV2YSWCS5uOGGWTvFGwJlkvNsn69IxG8V1Gr4P+eFpeLKs\nv/UXHQFHoLgI4JGGqCh4z8LEg4ktdq1O8UfAmWT82yjrErLpj3bcAQccIBq/z2ytiuXRJetC+YuO\nQMIRQKSKX1Icg+C8fMCAAQlHpLKq70yystqr0dK6TWWjEPkLjkDJELj66qvN/pEoHjjKx3TLqbIQ\ncCZZWe2VdWndpjJrqPxFRyByBPCVuttuu8lpp50mgwYNskge+NB1qjwEnElWXptlXWK3qcwaKn/R\nEYgMAcJa4RWLrQ9smnE1hy9Up8pEwJlkZbZb1qV2m8qsofIXHYGCEUDLvHfv3hbhB/EqQYOdKhsB\nZ5KV3X5Zl95tKrOGyl90BHJGAK3y/fbbT4477jhbOY4ZM8bihuackH8QOwScScauSYpXILepLB62\nnnJyESAAfM+ePeW5554T/LASsQUJjlN1IOAtWR3tmFMt3KYyJ7j8ZUegXgRuvfVW6dWrlwUVnjJl\nirmaq/dlf1CRCDiTrMhmK7zQblNZOIaeQnIRmD9/vhx22GF2HH/88eY7eeWVV04uIFVcc2eSVdy4\njVXNbSobQ8ifOwK1EZg+fbrZOxLfdfTo0TJ48GBZdNFFa7/od6oCAWeSVdGMhVXCbSoLw8+/Tg4C\n99xzj2ywwQYWEBntVULVOVU3As4kq7t9s66d21RmDZW/mEAEfvnlFzn22GNl3333lUMOOURefPFF\n6dChQwKRSF6VnUkmr83rrbHbVNYLjT9IMAIzZ84UTKiI+UjggGHDhkmzZs0SjEiyqu5MMlntnVVt\n3aYyK5j8pQQgwJ7j+uuvL8RpJcrOXnvtlYBaexXTEXAmmY6GX6cQcJvKFBR+kUAEYIoDBw6UXXfd\nVfbcc0+ZOHGirLHGGglEwqvsTNL7QIMIuE1lg/D4wypE4NNPP7XIHbiYu/3222XEiBGmqFOFVfUq\nZYGAM8ksQEr6K25TmfQekJz6P/300xb7ce7cuTJp0iTp379/cirvNa0TAWeSdcLiNzMRcJvKTET8\n/2pCYOHChXLuuedKv379pG/fvsYgEa/iau6kk06SJ554opqq63XJAQFnkjmA5a+KuE2l94JqQ2D2\n7NnmTm7IkCFy4403mhZr8+bN5c033zRt1muuuUY+++yzaqu21ydLBJxJZgmUv/YHAm5T+QcWflXZ\nCIwfP97Eq7NmzZJXXnlF2IMPCa1WbCOdko2AM8lkt3/etXebyryh8w9jgEAQBHLJJZfIX/7yF7OB\nfP3116Vbt261Sha6m/OgybWgScwNdziYmKYuTkVDm8ojjjjCBhyisF944YU5+7KcM2eOPP7448J5\ntdVWM9u0VVddtTiFrvBUEf0RkgktTPDfZpttKrxGpS3+119/LQceeKDtN1511VUyYMCA0hbAc6so\nBJxJVlRzxbOwoU3lTTfdJCeeeKJFRLjrrrukY8eOWRV43rx5sv322wuiryWXXDKlUehMsjZ848aN\nk7vvvluOOeYYadmypdnxHXTQQXLdddfVftnv1EIAkeo+++wjrAwnTJhgjsprveQ3HIE0BFzcmgaG\nXxaGQL42lbj7atGihR1NmzY1Mdivv/5aWGGq8Ovff/9dWLEPHTrU9tHw/sKAf/3115uxexVWOdIq\nXX311Wb/uN566wnOyTfccMNI0/fEqhMBX0lWZ7uWrVahTeUpp5xiA/iYMWPM1+VSSy1Vb5nWWmst\nef75500EBgPo1KmTeGy+2nB9++23dvO0005LPUQzE/H0+++/LxtttFHqvl/8gQCSikMPPVQeffRR\nufjii+X000+3leQfb/iVI1A/As4k68fGn+SJQGhTue2221pQ2pdeeklGjRolXbt2rTPFrbfe2lyA\nsT/0yCOPyN///ncb1Op8OcE3iUSBCNtFq9l3gjfeeMP8rf78888yduxY2XzzzbP/2N90BBQBF7d6\nNygaAtnaVKIpe+WVVwreTtq2bWuMlUC2TrURIOCvi6Jr41LXHdzK9e7d2yQTiFedQdaFkt9rDAFn\nko0h5M8LQiAbm8pbbrlF2G/r06eP7RWhrTl8+PCC8q3Gj1mh//jjj2bwnl4/xInsSzr9D4EffvhB\n9ttvPznuuOMEbWtE/m3atHF4HIG8EHAmmRds/lEuCDRmUzljxgx55plnLEn2Lom8sPzyy+eSRSLe\nbdWqlbRr185E06y8p02bZh5hUJhyH6P/6wJvvfWW9OzZ08w7MJO54IILhP6XL4X7wDBep2QikH/v\nSSZeXusCEAhtKjfeeGOzqTz77LMtTt/iiy9upiPXXnutmTfANEeOHFlATtX5KYM9Imn2JVHeQUnq\noosukjPPPNPMQaqz1tnX6tZbb5VevXrJCiusIFOmTDHJRPZf137ztddeM5tfntx2223y5JNP1n7J\n71Q9Ak3U80RQ9bX0CsYOgdCmEi8nhCNaffXVzZEADHPppZeOXXnLXSBWRPfdd5+8/fbbVpSPP/7Y\nNDTbt29f7qKVPf/58+eb+ziY5KmnnmomRKGnnLIXzgtQ8Qj4SrLim7AyK5BuU4l47N5777V9I2eQ\n2bVnhw4dxBmkyHvvvWf2jg8//LCMHj1aUPhyBpldH/K3skPAmWR2OPlbRUAgtKk84IADzKYSQ/mf\nfvqpCDl5ktWIAGZFPXr0sIDIaK/utNNO1VhNr1OZEXAmWeYGSHr2oU0lK4GHHnrIBr2pU6cmHRav\nfwMIYC9KdA40WHES8OKLLworaydHoBgIOJMsBqqeZs4IZGtTmXPC/kFVITBz5kxz6o4rQ0T0w4YN\nk2bNmlVVHb0y8ULAmWS82iPRpcnGpjLRACW88uw5EuPxt99+k8mTJ5snnYRD4tUvAQLOJEsAsmeR\nPQKN2VRmn5K/WS0IwBQHDhxo9rN77rmnOXNfY401qqV6Xo+YI+BMMuYNlNTi1WdTmVQ8klpvYmZu\nscUW5mUIU6ERI0aYok5S8fB6lx4BZ5Klx9xzzBKBME4lPjiJDoLvzY8++ijLr/21SkcAjzndu3eX\nuXPnCob97lWo0lu0MsvvTLIy2y1RpU63qcT5AAobTtWLwMKFC+Xcc8+1QNx9+/aVSZMmmXeh6q2x\n1yzOCDiTjHPreNlSCLhNZQqKqr744osvzJ3ckCFDTMSKFmvz5s2rus5euXgj4Ewy3u3jpUtDwG0q\n08Cowsvx48cLkoJZs2bJK6+8IkgQnByBciPgTLLcLeD554yA21TmDFmsP8B99KWXXmpO71HYev31\n141ZxrrQXrjEIOBMMjFNXV0VdZvK6mjPr7/+2vYeceB+1VVXyf333y+EBHNyBOKCgDPJuLSElyNn\nBNymMmfIYvUBIlW0V9955x2ZMGGCDBgwIFbl88I4AiDgTNL7QcUj4DaVldeEV199tdk/rrfeeoJz\n8g033LDyKuElTgQCziQT0czVX0m3qayMNp43b57stttuFjR60KBB8uijj0rr1q0ro/BeykQi4Ewy\nkc1evZV2m8r4tu0bb7xhUV5wDDB27Fg544wzLHB0fEvsJXMEXNzqfaAKEXCbyvg1Kl6TevfuLZ06\ndTLxKt6TnByBSkDAV5KV0EpexpwRcJvKnCErygc//PCDxX087rjjbOU4ZswYadOmTVHy8kQdgWIg\n4EyyGKh6mrFBwG0qy9cUb731lvTs2VOee+45wQ8rZh5oJDs5ApWEgPfYSmotL2teCLhNZV6wFfTR\nrbfeKr169ZIVVlhBpkyZYq7mCkrQP3YEyoSAM8kyAe/ZlhYBt6ksDd7z58+Xww47zI7jjz9exo0b\nJyuvvHJpMvdcHIEiIOBMsgigepLxRcBtKovXNtOnTzd7x4cfflhGjx4tgwcPlkUXXbR4GXrKjkAJ\nEHAmWQKQPYt4IeA2ldG3x6hRo2SDDTawgMg4B9hpp52iz8RTdATKgIAzyTKA7lnGAwG3qSy8HX75\n5Rc59thjTYP1kEMOkRdffFE6dOhQeMKegiMQEwScScakIbwY5UHAbSrzx33mzJmC+JqYjwTCHjZs\nmDRr1iz/BP1LRyCGCPiGQQwbxYtUWgRCm8ptt93WFE5eeuklQXzYtWvX0hYkLTdWZD/99FPqzpdf\nfiktWrQQ7AxDatKkiWy00UbSsmXL8FbJzuw5snJk1Th58mRZY401Spa3Z+QIlBKBJhrLLShlhp6X\nIxBnBD799FM58MADZeLEiXLFFVfICSecUPLifv7551lrhP79738vaRl/++03cwpAWKsjjjhChg8f\nbvuQJQfJM3QESoSAi1tLBLRnUxkI5GJTyX7c9ddfLwsWLIi0cm3btpXOnTtnleZ2222X1XvZvoRG\nKuLTuogJxBZbbCG4mLv99ttlxIgRziDrAsrvVRcCrCSdHAFHoDYCKvIM2rdvH6idX6AOuWu9oK7W\nkMIEp512Wq1nhd64/PLLAzWfsPTJo65j3XXXLTSbGt+rZxzLp2nTpsGkSZNqPFOPOcHyyy8fKPMO\n3n777RrP/B9HoJoRkGqunNfNESgUgblz5wZ77LFHoM4IgrPOOiv49ddfLclHHnkkxbh0bzB44YUX\nCs2qxvcfffRRKv26GCQMVEWeNb4p5B/1sRroKtrqCZNcZZVVgm+++SZQ8WpwzjnnBNTxgAMOCHjP\nyRFIEgK+J6kjkJMj0BgCN910k5x44onSrVs3GTp0qPTt21e+++47JpmiTEUQkb7zzjuRKtEQiFhX\ndJZHZvlQ2pk1a5YoM8t8lNf/mHFQR/YcIZwAIFpduHCh7c+y94nJjJMjkDQEnEkmrcW9vnkjABPc\nZ5995P333zdmEjIUEoSpoPAzcuTIvNPP/JD9ThSHYFTphIu9jTfe2GwS0+/ne/3888/LlltuWetz\nGDHM//HHH7fJQa0X/IYjkAAEXHEnAY3sVYwGAWwqVfQqKOykM0hS53+ceqsYNprMNJW99tqrzlUk\nGRx00EGR5IOZCWmxGs4kVsmzZ8+WH3/8MfOR/+8IJAYBX0kmpqm9ooUi8Morr8imm24qv//+e51J\nsfLC5R0+TIl+EQX16dNHVGmoRp4wtDlz5kjr1q0LzmLAgAGmoZvJ9MOEWbWqwo4Q9iqqOoVp+9kR\nqAQEfCVZCa3kZSw7At9++62t7GCE9RErr++//94cEtT3Tq73M1eMMEicHkTBIHFYgJ1jfQySsjIh\nUAUe2XfffWsw6lzr4e87ApWKgDPJSm05L3dJERg0aJD897//rbU/mFkIGM5jjz0W2d7krrvuWiOS\nBkyrf//+mdnm/D8hrUiHlWJDxKQA5j9+/HjBDZ2TI5A0BBr+hSQNDa+vI1APAkceeaRpt7Zr187e\nQFGnIUJbVM04Gnolq2e4nCOiRpgfvlF33nnnrL5t6KWzzz7btGMzlYL4BsbJAYPENyuarWjSrrba\nag0l6c8cgapEwPckq7JZvVLFRGDatGny6KOPyoMPPiivvfaaZQVTSWc4MLVevXrJhAkTGl2tNVbW\nhx56SHbffXdTrtlzzz3Nr2xj3zT0nL1VmB8rxJAQ47JK5bzVVluZFu8uu+xi+5HhO352BJKIgDPJ\nJLa61zkyBL7++mt54oknLMjwk08+aU7JF1tsMVGnA5YH/l9PPfXUgvJDm3a55ZYzLVOY84477ph3\nej///LN06dJFPvzwQ1udIh5mddqvXz/bc2XV2qpVq7zT9w8dgWpDwJlktbVoFdeHlZq6ghMYUxyJ\nlRjROj777DPbv2TfD5ElTI1II4UQK1b2RFndNbaP2FA+7733nkydOtVWjOpuT/BVu9JKK6XEuQ19\nW65n1Pfcc8815l6uMni+yUXAmWRy277iag6TxKH3s88+a0xn++23r9O+Ly4VQyNW3dqJ+n8tiLFR\nH1aA2CuyoiyEsIvEU1CbNm0KLlMh5cjmW0JwoSwEE3/mmWdknXXWyeYzf8cRiBSBhrUPIs3KE3ME\nCkOA/bKnn37aQlidf/75tqIkGgVMyKl6EEBUfeGFF8oDDzxgSko333yz22hWT/NWXE1cu7XimizZ\nBUb0dsYZZ8irr75qos311luvYEWWZCMar9q/++67Fkj6mmuukeuuu872et2JQbzaKGmlcSaZtBav\nkvriaPz11183f6n777+/7LfffjJv3rwqqV0yq0GcyvXXX9/2R//973/LX//612QC4bWOFQK+Jxmr\n5vDC5IMAIthDDz3UBtfbbrvNTBjySce/KQ8C+Ic97LDDZMyYMSYluOCCC2KtSFQelDzXciHgK8ly\nIe/5RoYAYavefPNN2WCDDWSbbbaR008/XRYsWBBZ+p5Q8RAYPXq0aPBo83eLTenFF1/sDLJ4cHvK\neSDgTDIP0PyT+CGA1ieKHsREJMQUhvxvv/12/ArqJTIE0NQ9+uijBbd7O+ywg5mlEP7LyRGIGwLO\nJOPWIl6eghA44ogjbMBdaqmlpGfPnubAO92zTEGJ+8eRIIDSFXvKTGo4CDHWokWLSNL2RByBqBFw\nJhk1op5e2RFYddVVzR0cWrAnn3yyII7FwN+pvAhg53rRRRdZuDH8wCIix92ekyMQZwRccSfOreNl\nKxgBPNUceOCBZlOJKJagyU6lR+CDDz6wdpgyZYpcfvnlcsIJJ5g3otKXxHN0BHJDwFeSueHlb1cY\nAuxNYk7AigXn4IcffrjFfKywatQoLq7vnnrqqRr34vzPyJEjTbyK1yDMdgj03FBczjjXxcuWPASc\nSSavzRNX4+bNm8uIESPMMB0H4V27dpWXX365InFAZIldaBRhuIoNwFdffSW77babsE+MzSN7kWuv\nvXaxs/X0HYFIEXAmGSmcnlicESAOI/tgnTt3ls0331xwbUcUjHIQPl3RwoWIHjJ48OBUWXBCjru9\ngQMHCmGyQiIayD777GO+azGX+Mc//iGff/55+NjuX3LJJZZuuZ3As9LFtOONN96QsWPHypVXXmnR\nRlKF9QtHoFIQUM0/J0cgcQhce+21gWrABmpbGUyfPr2k9VdtTstbY04Gw4cPD3RlS2DHQKNzBEOH\nDg223HLLQCOKBOrcO+jYsWOgzNTKpx6FAl0R27safisYN25coMw2UOYZ6GotuPvuuwPd8wtUrBws\nv/zygZrAlLReZKYO1APdb7Qy7rvvvgFldnIEKhkBAq86OQKJRED9hAY9evQwhqWrspJicMABBxgj\n0cDNlq8Gcrbz6quvHhx77LGpsqgdYaDRTlL/wwRhqLfcckvq3pAhQwJdFaf+nzVrlr2jWr2pe6W4\n0FVjoKv0YJlllgnuuuuuUmTpeTgCRUfAo4BUypLfyxk5Amuuuaa88sorct5558kxxxwj7Fcq87Ew\nUpFnlpEgsRwh4kNCa621lp3Hjx8v7KFC77zzjijDs9BWdiPtT7riy9VXX202ocpcU29Qt2+++Sb1\nfzEviKOpjFrOOecc2WSTTSxSS7t27YqZpaftCJQMAWeSJYPaM4ojAosttphcdtll5vWlf//+to8G\noyRQcjEpDJwcnsO8VlllFfNh+thjj8kWW2wh2BOiEZpJIZPEqTs2oCjH7LTTTpmvFf3/jz/+WA46\n6CCZOHGi2UCqGDj2cSqLDopnUFUIuOJOVTWnVyZfBDbddFPz1LPtttsas/nb3/4mBCguNZ177rnm\nvxRFHmw6iaFZF4VMMmSyKCSVmlSkaprCaLGiuYrP3LA8pS6L5+cIFAsBZ5LFQtbTrTgEWrVqJXfc\ncYfce++9FqOye/fuMnny5JLVQxV1jEHi/GDJJZe0fBFlplPIHDEFgShzp06dhDBT8+fPT39V7rzz\nTvnkk09q3IviH1avhCajnKwiWeniZs7JEahGBJxJVmOrep0KQmCvvfYyUxH21XC6femll0rIlApK\nOO1jHHxD6aYaP/zwg90bNWqU7UNi5vHCCy8I5iI8+/7776Vt27b2DnupqrEg//nPfwQR56effipb\nb721sKeJ8wTMW7799ltp3769vR/VH9WoNZH0888/bw4Nhg0bJksssURUyXs6jkD8ECi6apBn4AhU\nKAKYYVx11VXB4osvHqhCSvDhhx9GUpObb7450L1H00Dde++9AxVVptLVuIoBpiFoud54443B/fff\nHzRr1ixQBhgoQ7X3NByYfbvVVlsFuido5iJnnnmmfacjjJ3Vb22gjD2VbqEXmJlgdqIr2UC9FwUq\nYi00Sf/eEagIBNx3a/zmLV6imCHAfp+abJiXG7WvNBFjMYvIirFly5apLHAioIw69b+OLKasg5JP\nOiFuVUZu4leioERFb731lolWSfuaa66xAMlRpe3pOAJxR8DFrXFvIS9f2RHAc8ykSZNMg/SQQw4R\nxLHFNK9IZ5BUPp1B8j/7kpkMkvvsY3bp0kWiYpAwY8SpBLPGLAXn5LrSJSsnRyAxCPhKMjFN7RWN\nAoHnnntOYJQo1BAHsU+fPlEkG7s0MCuhnuxBonF79tln16tpG7vCe4EcgQgR8JVkhGB6UtWPgO4H\nmrIMJiPEqSReJdEtqol0H9SUc3CijiN4nC3UZ4pSTfX2ujgCdSHgTLIuVPyeI9AAAssuu6zcc889\ntpLE8QDiSLRMK53YCz300ENNnIyNJlqy1M3JEUgyAs4kk9z6XveCEMBGEOYI04SZqCasmWUUlGiZ\nPn7ppZfMMcDjjz8ujzzyiBCgOnSPV6YiebaOQCwQcCYZi2bwQlQqAh06dDDbROwS1QxDEMdis1gp\nRKgw9hxxgUesRzR5y+HerlLw8nImDwFX3Elem3uNi4QAsRMxFZk9e7Z5wNFQUUXKKZpkiVtJeXGk\nTrxHXPE5OQKOR26MIAAAGt1JREFUQE0EfCVZEw//zxHIG4H111/fggzjso0Dh+l4vYkjEbAZt3uY\necDcnUHGsZW8THFAwJlkHFrBy1A1CGCrqEGS5YknnpBnnnnG9vlwLRcXmjNnTsqB+4knnmihwgir\n5eQIOAJ1I+BMsm5c/K4jUBAC/fr1s/09HH+r+zjbr/z1118LSrPQjwm/hWMEPOjge/WSSy4RQoU5\nOQKOQP0IOJOsHxt/4ggUhMAKK6wgDz/8sKgPVhk+fLhsuOGGMm3atILSzOdjQn4RVBqFnO22285C\ngmHn6eQIOAKNI+BMsnGM/A1HoCAEjjzySHPppo7KpUePHnLdddcVlF4uH+NOj71Hwn9x3HbbbRZe\nK5c0/F1HIMkIOJNMcut73UuGgEb1kBdffNHCWg0YMEAQx6IFWywitBfi1N69e1u4LOw58Tnr5Ag4\nArkh4CYgueHlbzsCBSMwceJEi6qB5uuIESNk1113LTjN9AQI3kxAZIIhX3bZZYKCThisOf09v3YE\nHIHGEfCVZOMY+RuOQKQIbLTRRiZ+3XnnnWW33XYTxLFhwOVCM8LpeteuXS29yZMny0knneQMslBQ\n/ftEI+BMMtHN75UvFwItWrQQ/L4++OCDptyDFiwrzHyJ0F177rmnhbKC6b722muyzjrr5Jucf+cI\nOAL/j4AzSe8KjkAZEWAlyX7hGmusIWicXnDBBYKruFwIe0xMO1599VV59tlnzYdsZgzKXNLzdx0B\nR+APBJxJ/oGFXzkCZUGgbdu28uSTT8rQoUPliiuuMGb5/vvvN1oWQnSx30jIrs0228yY7dZbb93o\nd/6CI+AIZI+AM8nssfI3HYGiInD88cebss2CBQsE8evNN99cb35Tp06Vnj17ysiRI82sY9SoURaN\npN4P/IEj4AjkhYAzybxg848cgeIg0LlzZ9ubPO644+Too482zdevvvoqlRm+VocMGSK9evWS1q1b\n2+oRH7FOjoAjUBwE3ASkOLh6qo5AwQjgOo6Ylaws//nPf5oizsEHH2z2loMGDZLTTjtNFlnE57kF\nA+0JOAINIOBMsgFw/JEjUG4EsKU89thj5V//+pcFQW7Xrp1dE3HEyRFwBIqPgDPJ4mPsOTgCBSNw\n+umnmxj2qaeeEiKNODkCjkBpEHBZTWlw9lwcgYIQgDGyN+kMsiAY/WNHIGcEnEnmDJl/4Ag4Ao6A\nI5AUBJxJJqWlvZ6OgCPgCDgCOSPgTDJnyPwDR8ARcAQcgaQg4EwyKS3t9XQEHAFHwBHIGQFnkjlD\n5h84Ao6AI+AIJAUBZ5JJaWmvpyPgCDgCjkDOCDiTzBky/8ARcAQcAUcgKQg4k0xKS3s9HQFHwBFw\nBHJGwJlkzpD5B46AI+AIOAJJQcCZZFJa2uvpCDgCjoAjkDMCziRzhsw/cAQcAUfAEUgKAs4kk9LS\nXk9HwBFwBByBnBFwJpkzZP6BI+AIOAKOQFIQcCaZlJb2ejoCjoAj4AjkjIAzyZwh8w8cAUfAEXAE\nkoKAM8mktLTX0xFwBBwBRyBnBJxJ5gyZf+AIOAKOgCOQFAScSSalpb2ejoAj4Ag4Ajkj4EwyZ8j8\nA0fAEXAEHIGkIOBMMikt7fV0BBwBR8ARyBkBZ5I5Q+YfOAKOgCPgCCQFAWeSSWlpr6cj4Ag4Ao5A\nzgg4k8wZMv/AEXAEHAFHICkIOJNMSkt7PR0BR8ARcARyRsCZZM6Q+QeOgCPgCDgCSUHAmWRSWtrr\n6Qg4Ao6AI5AzAs4kc4bMP3AEHAFHwBFICgLOJJPS0l5PR8ARcAQcgZwRWDTnL/wDR8ARKBsC8+fP\nl9GjR8vOO+8sc+bMkSeeeEJWXnll2WmnnaRp06byxRdfyCOPPCKLLLKI7LXXXtKqVSv5/PPP5cEH\nH5Rff/1V+vTpI126dJFx48bJ1KlTrR677767tG/fvmx18owdgTgj4Ewyzq3jZXME0hD48ccfpWvX\nrjJjxgy56qqrZPr06bL00kvLqaeeKv369ZPttttOxo8fLwsXLpR77rnHmCkMs23bttKmTRvZe++9\n5eabbzYmudVWW8mECRPk/PPPl7XXXtuZZBrOfukIpCPgTDIdDb92BGKMQPPmzeWII46Qk08+2Zga\nZ4gV5OWXXy7777+/3HnnnXZvtdVWkyFDhsjvv/9uq0oYYSZ1794985b/7wg4AhkI+J5kBiD+ryMQ\nZwRYOULrrrtuqphrrrmmXbPKDGmttdaSX375RT777LPwlp8dAUcgDwScSeYBmn/iCMQJgcUXX7xW\ncRZbbDG7h4jWyRFwBPJHwJlk/tj5l45ALBBo0qRJveVo6Fm9H/kDR8ARSCHgTDIFhV84AtWLwKKL\n/k/94Oeff67eSnrNHIEiIOBMsgigepKOQLEQ+P777y1p9htD+uGHH+zym2++CW9JKGYNmeKf//xn\n6dixo4waNUo+/vhjeffdd+W+++6z9//973+bgk/qY79wBByBFAJNL1BK/ecXjoAjEEsEMO2YPHmy\nTJs2zWwhsZdEUQdbx0suucRsIVHS6datm7z//vty2WWXyaeffiowTu4tt9xy0rJlS9N+vfbaa2X2\n7Nly1FFHybPPPmuasmjD8o6TI+AI1ESgSaBU85b/5wg4AnFDgLksK7+33367oKKxssSpAAyTM+Yj\nOB5wcgQcgboR+N9GRd3P/K4j4AhUGQJLLLGEcEChBmyVVdGr4whEioBPISOF0xNzBBwBR8ARqCYE\nnElWU2t6XRwBR8ARcAQiRcCZZKRwemKOgCPgCDgC1YSAM8lqak2viyPgCDgCjkCkCDiTjBROT8wR\ncAQcAUegmhBwJllNrel1cQQcAUfAEYgUAWeSkcLpiTkCjoAj4AhUEwLOJKupNb0ujoAj4Ag4ApEi\n4EwyUjg9MUfAEXAEHIFqQsCZZDW1ptfFEXAEHAFHIFIEnElGCqcn5gg4Ao6AI1BNCLiD82pqTa9L\nVSBA6KvDDz88Fe6KSn3wwQcWuWOTTTZJ1RHH5AMHDpTNN988dc8vHAFHIFoEnElGi6en5ggUjABM\nsnXr1halo7HE7rrrLtlvv/0ae82fOwKOQJ4IuLg1T+D8M0egWAi0aNFCdtxxR1l00YaD9Cy++OKy\n8847F6sYnq4j4AgoAs4kvRs4AjFEoH///vLbb7/VWzIY6C677CLNmzev9x1/4Ag4AoUj4EyycAw9\nBUcgcgS23377BhkgDPTAAw+MPF9P0BFwBGoi4EyyJh7+nyMQCwQQpe611171ilwRyfbt2zcWZfVC\nOALVjIAzyWpuXa9bRSOw//771ylyXWyxxWTfffeVZs2aVXT9vPCOQCUg4NqtldBKXsZEIrBw4UJp\n06aNfPPNN7XqP27cONlyyy1r3fcbjoAjEC0CvpKMFk9PzRGIDIGmTZvKAQccIKwc02n55Zd328h0\nQPzaESgiAs4kiwiuJ+0IFIoAItdff/01lQwM86CDDhIcCTg5Ao5A8RFwcWvxMfYcHIGCEPjTn/4k\n//3vf1NpTJo0SXr27Jn63y8cAUegeAj4dLR42HrKjkAkCBx88MEpkWuHDh2cQUaCqifiCGSHgDPJ\n7HDytxyBsiEQilybNGkiMEwnR8ARKB0CLm4tHdaekyOQNwJrrbWWTJ8+Xd59911Zc801807HP3QE\nHIHcEHAmmRte/rYjkDcCQRDIl19+KZ988onMmjXLjs8//9xMPObOnWtnzD24/vnnn81GcsGCBcLx\nyy+/CN9jG5l+oMjTsmVLWW655cwpOo7Rl112WVlhhRWkXbt20r59ezuvssoqKZFt3hXwDx2BBCLg\nTDKBje5VLi4CMDhWfO+8844d06ZNk7feeks++ugjY3hh7jA27CCXXnppY3StWrWS8FhiiSXM2w5M\nkANfrWi0oumafuCe7vvvv5fvvvuuxvHVV1/JnDlzUs4IENW2bdtWOnfuLGuvvXbq6NKlizHYsEx+\ndgQcgZoIOJOsiYf/5wjkjMB7770nr776qh0TJ06UqVOnGnOCsaFo06lTJ1l11VXtGka10koryYor\nrlh0jzm///67wCxnz55tx6effioffvihzJw5086E5IIo30YbbSQbbrihHd27dxfc4jk5Ao6AiDNJ\n7wWOQI4IwHSeffZZeeaZZ2TMmDHGgFjtsW+4zjrryLrrrius0BB1NhbuKsesI339iy++sH3ON998\n01a6rHbnzZsnrGI322wz8w3bp08fWW+99SLN1xNzBCoJAWeSldRaXtayIcBq8b777rODlSJMsVu3\nbrbyYhWGCJN7lU7sl7722mvyyiuv2Bmmyap31113lb333lu22GILwROQkyOQFAScSSalpb2eOSPw\n2Wefya233ir33HOP/Oc//zHFmK233lo4evToIUsttVTOaVbSB4hr2Vt94YUXbOWMdi0KQXvssYd5\n/dl4440rqTpeVkcgLwScSeYFm39UrQigQYoY9YYbbpBHH31UCEm13XbbybbbbmuMMcmrqI8//tjE\ny08++aTMmDHDxLDHHHOM+ZdFw9bJEahGBJxJVmOrep1yRgAt0TvuuEMuvfRSef/992WDDTawFRN7\nch6SqjaciJzvv/9+eeqpp0z8CrMcOHCgiWZrv+13HIHKRcCZZOW2nZc8AgQwp0Ckeskll5h/1B13\n3FEOPfRQ00aNIPmqTwLzE5jlbbfdJj/++KP89a9/ldNOO83MTaq+8l7BRCDgTDIRzeyVrAsBxKkn\nn3yyGffvvvvuxhxXXnnlul71e40ggLODBx54QEaOHCnffvutnHHGGXLqqafKkksu2ciX/tgRiDcC\nziTj3T5euiIgQESNv/3tb/LII4/I9ttvLwMGDBBnjtEAjXegO++8U0aMGGGOEv7xj3/IX/7yl2gS\n91QcgTIg4A7OywC6Z1k+BNBUxZYRbdV//vOfMnjwYGeQETYH+7eHHXaYjB49WlZffXVhT/f44483\nN3sRZuNJOQIlQ8BXkiWD2jMqJwLsPZ500kly3XXXCVE1uMZo3qm4CKDYM2jQIFlttdXkoYceko4d\nOxY3Q0/dEYgYAWeSEQPqycUPAfyasueIgTwKOi7+K20b4Q6PScnXX38tjz/+uGkOl7YEnpsjkD8C\nziTzx86/rAAEUCJB5IeN3/XXX+9hpsrUZj/99JMp8rzxxhtmNrLJJpuUqSSerSOQGwLOJHPDy9+u\nIATQuGTViN0j+4+EjnIqHwKIvE8//XTBCfxLL71kPm7LVxrP2RHIDgFnktnh5G9VIAKHH364+VrF\nSQB7Yk7lRwBGieMB4mhOmTLFYl+Wv1ReAkegfgRcu7V+bPxJBSOAM3JWj5dddpkzyBi1I07ghwwZ\nYjExjzrqqBiVzIviCNSNgDPJunHxuxWMAJ5fMDvYc889LWpFMavCXtv48ePl6quvTmUza9YsOffc\ncy2EVuqmX6QQWGaZZeSCCy5IubVLPfALRyCGCDiTjGGjeJEKQ+Daa681F2k4CSg2vfjii7Zaxel3\nSNOmTZOHH37YnICH9/xcE4HevXvLVlttJWeffXbNB/6fIxAzBJxJxqxBvDiFIUB4J7RYCefEiqXY\nRHQQgiynB1fmHuGlCFxcKsJ7UKXREUccIWi7vvrqq5VWdC9vghBwJpmgxk5CVV9//XXzxbrTTjuV\nrLpNmjQRjnRadtll0/8t6jVBkv/+978XNY9iJL7eeutJp06dzOdrMdL3NB2BKBBYNIpEPA1HIC4I\nTJgwQZZbbrmi2kNiezlmzBghKHOXLl2EGJTpTJLV7OTJky0oMy7wQsKYnhXmN998Y+YonTt3Tpml\n/PzzzzJp0iRBVLvIIosITH7FFVcMP7U8SJMgyDyHuSCyhEGy/0r+9957r/lL3XLLLVPf4UDhzTff\nlFatWllczPTVNdqlaJuSFitRwoOxKqY+deWVSjTCiw033NAwiTBJT8oRiBQBX0lGCqcnVm4E3nvv\nvaKGuZo5c6YcffTRssYaa8ixxx4rc+fOlbFjx6aY5AcffGBxFTE/efvtt1Nw4PUHp+p9+/aVQw45\nRJ599lljiLyA8s8OO+xgbvL4buHChdK/f/8a/k6HDRtmK2Tud+3aVYYPH25pw/z+/Oc/W8xLmN1K\nK61k92F+559/vsybN8+Ul2CmMF7KB3OnLKT13HPPmds4gkzfcsst9m19ednDiP9gmkObOTkCcUXA\nmWRcW8bLlRcCMCMYR7EIRRNWXN26dbN9SDRo01d8DPrEVMykxx57zFaWSy21lAUpPuGEE4RAzxBM\n9ssvv7QVXdOmTYWVIHaEOEGAWNkRs7F9+/b2P6tTlF6gtdZaS1q3bm1MknLxP/Svf/3LytWvXz9b\nVRPjEYZ5xRVXmEN3QllB7AkOHTpUnn76aWOqDeVlH0T8h7aizZwcgbgi4Ewyri3j5coLAZyW42mn\nGISCCaLLXr16pZJHzInINV3cSiSMTGKVhwgT5oS49U9/+lPKhyzhutCGXX755a3siF0hXOlBpN1R\nHYMPHDjQGCr3WI2mU3r+3L/99tttpXrxxRcLx80332xpICqGVlhhBTtvvvnmxrRhtOyjZpOXfRjR\nH8TM7mg+IjA9maIg4HuSRYHVEy0XAqy2xo0bV5Tsp0+fbukiak2nTAaV/iy8Zu/t4IMPlttuu83K\nB7Pcbbfd7DF7jOyjYrqy+OKLG9PlAXubIbGCJUA0Zi2kdfnllxtTDZ+nl4GVGStTNHxZldZF5AmF\n5/R3Gssr/d1Cr3F+Hq6QC03Lv3cEioGArySLgaqnWTYEevbsKR999JFFnIi6ED/88IMlSSzKTEpn\nUpnP+B9mxEqQIMSs4s4777zUHiCMArEtSjNHHnlknfEtEaPiRWifffYxBZ+9995bwlUh6afnHzK+\nGTNm8ChnaiyvnBNs4AOUh2gzJ0cgrgg4k4xry3i58kKAvboll1zSFGPySqCBj1CQgfKx63vwwQdt\nZYhGKsyO1eBdd91l6WHXyf7kFltsYf+nryC5sWDBAnn00UelefPmcs4555gdKCtFlH8gGCTKPiG1\naNFCVlllFSHANOLMdCId9jvro8byqu+7fO5TB/ZEd9xxx3w+928cgZIg4EyyJDB7JqVCAEay3377\nGQPKZDaFlgHRJXuLMBr2F6E5c+bY9ezZswVxLMwORgOhKBMS+4uYY0Aw8a233jrl7GD+/Pny1Vdf\nmSkE2rIwNwgmgugUZRrucYZgtOwfhuYc7GViXoI7PA60ZQ899FD54osvBG3Z0LSEgNOshtu2bSvk\nCaWXkf8by4t3oqK7777b6rDLLrtElaSn4whEjkBT9aF4QeSpeoKOQBkRWHvttU1ZBa1TrqMixJgo\nusB0RowYYczyww8/tIG+ZcuWplWL6cXIkSOF+yjowJBQumHFxH4kTAhGhtkDZhiIXjHbIHwUq01E\nxdg94hTh+eefN9Ere6CYaIQmJbjCY1WL6BWC6WLnOHr0aNNo7dGjh+1rUhbsOVEKIm2M92GaMGzM\nPCgD5iA4HcdmE81aVqQN5RUVljDwM88809zShSvoqNL2dByBKBHwUFlRoulpxQYB9v9uuukmYw6h\n7WCUhYMBopWJSQcrN84NEStMXNex4kP7FaaaTqx6EY2G6cBM+QYGBnHNPVacMN5M+v77723fk5V0\nOpEme56IX2Gm2VBjeWWTRkPvUA8mCDBKtIVRVnJyBOKKgDPJuLaMl6sgBBAnYjfI6oiQWT4QFwRn\npB8zeWG1inekjTbaKNK0PTFHIGoEfE8yakQ9vVggwKoJESOiTQzpWR05lR8BRMJ4C+JwBln+9vAS\nNI6AM8nGMfI3KhQB9u0ef/xx8296yimnpBRqKrQ6FV/sBx54wOJsYv5Sl1eiiq+gV6AqEXBxa1U2\nq1cqHQG0SvGN2qFDB7nmmmvMcD/9uV8XFwH2W1k54vVn0KBBxiiLm6On7ghEh4Azyeiw9JRijADR\nM3DwjUkF3mrYr3QqPgIoKp111llmJsNeJF6HnByBSkLAxa2V1Fpe1rwRwIsMto2bbrqpmUFceeWV\nKVvBvBP1DxtEAKfpuN7DhvTll192BtkgWv4wrgj4SjKuLePlKhoC2CueeOKJZm5x6qmnphyNFy3D\nhCWMrefgwYMFe07Cig0ZMkTwAuTkCFQiAs4kK7HVvMwFI4CNHgzyjjvuEIzviQ3pItjCYGXFSExK\nwnrhnAB3e6zcnRyBSkbAmWQlt56XvWAECEbMnhnBh7t3724OxjfbbLOC001SApjZwBzx+rPyyiub\nYg5u8UJH60nCwutafQg4k6y+NvUa5YEAGrAXXnihBR/GdISoHDjezvSMk0fSVfkJGqsvvfSSrRrH\njx9vmsOE2DrooINSXoKqsuJeqcQh4EwycU3uFW4IAXys4g2GCB0wgr59+woOuBHJ+spI5JNPPpEn\nnnjCHDUQTQSn78ccc4zsvvvu5navIWz9mSNQiQg4k6zEVvMyFx0BYjXeeeed5sh86tSpZltJ5I4+\nffrY3iV+WJNCOGt/5pln7CDSCU7ZDzzwQFPKWXPNNZMCg9czoQg4k0xow3u1s0eAaBnEgCRcFQ65\nEcGi5INbtY033tiifGSfWvzfZIJAzEwik3Cw50g4rj322EMI9kzUDnziOjkCSUDAmWQSWtnrGBkC\nM2bMsH1LQlCNGzfO4jMSZYQwVOuuu64daHaG0Twiy7hICSFSZqUI8w8PVotQz549Tdy87bbbWgxL\nZ4xFagRPNtYIOJOMdfN44eKMAE7TWWkR95Ezqy8CJbN3ueqqq9qx2mqr2ZlgzbjFI7xWOQhmyB4i\nDPGDDz6wM/aMMERCfVEutHtZHW+yySYWFJrAzk6OQNIRcCaZ9B7g9Y8UARgPzJJ9zHfeeccCJcOY\nYFIQjIeVJwdBodu0aSNLL720BWwOz61atbLQXsSSZO+TM0eTJk0smgnBlGHQnBcsWGCrWUSkuNwL\nD+JOYguK7SJnDgIqQ2Ew6i5dulhwZkTHrITD2JX2kv9xBBwBQ8CZpHcER6DICPzyyy/CvibMkv09\nDrREOT777DOZN2+ewOQIRlwoIeaFEcN827VrJ+3bt0+dWcnins9XiIWi7N8nCQFnkklqba9rbBFg\npQmjnDt3rh0wVlaJHOGKkXeaNWtmKz7O4cHKE8bXunVrXw3GtoW9YJWKgDPJSm05L7cj4Ag4Ao5A\n0RHwKCBFh9gzcAQcAUfAEahUBJxJVmrLebkdAUfAEXAEio6AM8miQ+wZOAKOgCPgCFQqAv8Hp7ta\n3a/o6JQAAAAASUVORK5CYII=\n",
"prompt_number": 39,
"text": [
"<IPython.core.display.Image at 0x10a71a210>"
]
}
],
"prompt_number": 39
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"# \u5efa\u7acb\u6a21\u578b\uff0c\u5c06\u4e94\u4e2a\u53d8\u91cf\u653e\u8fdb\u6765\n",
"mymodel = pymc.Model([switchpoint,\n",
" early_mean,\n",
" late_mean,\n",
" rate,\n",
" disasters])\n",
"M = MCMC(mymodel)"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 43
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"# sample\u65b9\u6cd5\u6765\u8fd0\u884c\u6a21\u62df\u8fc7\u7a0b\uff0c burn\u53c2\u6570\u8868\u793a\u653e\u5f03\u6700\u524d\u9762\u76841000\u4e2a\u6570\u503c\uff0cthin\u53c2\u6570\u8868\u793a\u62bd10\u5206\u4e4b1\u7684\u6570\u503c\u4ee5\u907f\u514d\u81ea\u76f8\u5173\n",
"M.sample(iter=10000, burn=1000, thin=10)"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\r",
" [------------- 34% ] 3439 of 10000 complete in 0.5 sec"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\r",
" [-----------------62%--- ] 6258 of 10000 complete in 1.0 sec"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\r",
" [-----------------90%-------------- ] 9021 of 10000 complete in 1.5 sec"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\r",
" [-----------------100%-----------------] 10000 of 10000 complete in 1.7 sec"
]
}
],
"prompt_number": 44
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"# \u8f93\u51fa\u7684\u662f\u4e00\u4e2atrace\n",
"M.trace('switchpoint')[100:110]"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "pyout",
"prompt_number": 47,
"text": [
"array([41, 44, 40, 48, 39, 46, 38, 42, 41, 43])"
]
}
],
"prompt_number": 47
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"# \u89c2\u5bdf\u53c2\u6570\u7684\u540e\u9a8c\u5206\u5e03\n",
"plt.hist(M.trace('early_mean')[:],bins=50);"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
"png": 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"text": [
"<matplotlib.figure.Figure at 0x10a5c9790>"
]
}
],
"prompt_number": 60
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"# \u8f93\u51fa\u6240\u6709\u53c2\u6570\u7684\u5206\u5e03\u56fe\n",
"pymc.Matplot.plot(M);"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"Plotting late_mean\n",
"Plotting"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
" early_mean\n",
"Plotting"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
" switchpoint\n"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": 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llxP7P7K5Am34uQL98lhdcEHwNgmCIOQTWVuE2fZ+1y7giSdi9y1YAPTqZZ/V\nVVIC3OqxYoF2CQLxA4DpZvKaOu+Xr6hTJ6BxY+Djj93P1wwYoLJZa3RAsdcg53QFvvOOWjbljjvi\n2xokeN08rrczIaw+/DD63ummCxJjFcQVqK9dtCheQNisnV6uQCDqPgPiLTw2i5VX+8y8XvPnR915\npsC38dlnKpYPiH5mjzxSTQSYPNm+lJLZjrlzVbyYxnQFAvYkqgsWRP93knUFvvOO93GhfCDxN/mP\n9HH4ZN1i9dVXaoHYPXuAWbOi8Tq9eql4qa++UrOwTCGk8RMRZtZrt+Vc3HAru27d+FxUP/7on/iT\nWblydMA2oBaA7tUrftCePDm67RRW2mr3yCOxZQPBLFbmcZ1Ve88eFfDuJgo3b1ZuR1ssWRBhBQB/\n/GP8Ncm6AvX2jBn2nGHHHhsrrLZts8clvfmmvS6NabFyPtegrkA3qlVTrzYXpYnZ//ozvHIlcP/9\nwJ//DPiFR3TtCrRpE+/a0+Xa8qodf3z0B4ufsPL6IeHmJhbKD0OGDJEYnDxH+jh8siqsVq4E2rdX\nYsW0wABKTH39dXRAswkrPzeKbWZa0GttAmX0aCUCk0HfuzMR5yuvxIsJnZYAcBdWJslarGbOVK+z\nZwPLl7tfc/fdwNFH291pbs/R69kHCV7XQmzNmug1zs/PGWco64/GfFbmM1m0SAlHN9zu4aefohZG\nP2G1cCGwapV7HU78Ypxs2FyBtn3Ll0efy+bNsf3mtOQ5LcF6Vqtfjq8gMVZjx/qfIwiCkG9k1RXY\nsmV027YuHVH0Gi02SkuVheif//QXEbVrx5ZlYg4YNjeRm7BKFl2eLcO5sy6bu05jE1Z+Fitb8Pr3\n30eDngcMiMb/JEoYMVY2V6AWfZdeGl+2WZ4pDMx7N8WbmXrChvlZ2LpVCTYnphCaNw9o1y7+nDvv\ntJdpw8z55YRI5cXS2xrbjws3i5Ge/eoUXtrVXlKiXO8DBsQer1dPveqFo/0sVtOn24/b6hYEQagI\nZPSrz08I2ZIN6i/wcePU6969wKhRwC23+P9qbt/evWxz4POyxNisKSbapeOHHphtg+O//hXbJrMe\np+XHz2IV1BLnzLSeSC4rW91OvIRVEIsVAFx+eWyuLptYMfvOFD9aNO7bl5iwOv985WJ04ux7PdvP\nJBFXoC02ykRncTefjU2o+AXyO6/RArqkxNtq5iesglissiWsiKghEX1CREuIaDER3RTZX5uIPiCi\nb4loOhE9EdjWAAAgAElEQVQdZFxzFxF9R0TLiOjs7LQ895D4m/xH+jh8gmReH0NEG4jIdf4bET0Z\n+VJaQERtkmmIbYAwLVaavXujIsAmdMwv8xo14ve/9JJ69RNWtrJtg8lVV8Xvs6HrsJWrM5DbhJUz\nxsYMqNYkYrHq00ctfxJWxmw3sewlrJzuXTdhNWmSPTs6EE28quPEnNfqTPaJWqzcCJIwNhFh5YzJ\nGzHCHkhukoqwcrbHzxVZvbr9Ok2QZ2b7EZEh9gIYxMwtAZwMYAARNQdwJ4APmPkYAB9F3oOIWgDo\nDqAFgC4AniYisbdB4m8qAtLH4RPky+MFqC8bK0R0HoCjmbkJgD4ARoXUNgB2YaUHBdtgZ1p0zOM6\n87SOtTEHBjNOx7z2yy+V29FWnlv73NBByl4Dmm1RYLNON2GVSIzVG2+onErOdiQrrNzux0tYaWH8\n+OPxz8/NLepc0ua669S2KYpt9960qT0/mEmQPgwSE5WKsLr11tjYOo2fxcrNKlRaquLD3ILjS0q8\n26gtseXRYhVZDWJ+ZHs7gG8A1AdwIYAXI6e9CEAnWukGYAIz72XmVQC+B9AegiAISRBkSZsZALzm\nvJV9WTHzLAAHEdGhiTbEHEBOOim6z8tiZftyN4WHOdB+/rl61b+ibUk+TUpLgVNOiV3uxja4Bs0h\npAWA1wDtnAoPxLroCgq8E5Y6hZWe8eUUNnfdpdJENGyogud12cng5kL0ElY6C/rPP6vB301IArGz\nKDVm9nj9XJ94AmUL/zqZN8++XzNoUPTz4YZXSgq9eHYiSTPN8rzWpUw2xqqkROW40tgsVl7t1f8T\nqWRez4UYKyJqDKANgFkADmVmPf1kAwD9PVUPsSvrroESYoIgCAkTxldffQBm6PkaAA1SKXD2bPVa\nUhKfAHTPHm9XoDn42I5//XViOZH89jkHHreBLojFyiaszAHQJjQBd1dgA49eWLVKlaeFaLKDoNv9\neM0KdIoUW8oEJ84+02Xu2aNml+o0HTbM3GE2Zs3yz7uk1/ezoSckJGKxMtEJav2shom4AolirXnO\n9ixZEiu8nAwfbr/OrTwbbkI3U0QWg58M4GZmjnEIMzMD8LoLWbQHEn9TEZA+Dp+w1gp0fr0n/KVk\nGyBuuCHejeMXY+WVewhQwbsLFyYurJhTcwXq+JmgwkoHR+/bF5uN3NbuRFyBJgUF0eeVSVegecwp\nmLyElYm53qGfcPKLsQLsszWDkqqw0tYyP4tVIsKqsNBbWA0frgSlH/qeqlZVrtt+/WL3e+EXoJ9O\niKgylKgax8yRjGXYQER1mXk9ER0GQE9BWAugoXF5g8i+GIYaSrGoqAhFRUVpaHluIbE3+Y/0cZTi\n4mIUFxenXE4YwirQl5JiqLFdFPlzxxYb4+cKNC1We/cCvXurX+amANhvv8wLK53/yktYmWvXDRwY\n3WcGcNvaYFqs/NYKdO7XFqt0CisnzlxgiVqsiGKFlV8fZEpYmbMJvdIpOEnFFfjLL7HvGzcGunVT\n+ajMNjifkW3Chg1zPcniYn9htXt3MYDiYIWnCSIiAM8DWMrMjxuH3gJwNYCHI69vGvvHE9EIKAt8\nEwCzneUOzbYJThCEtOL8wZSsJS8MYfUWgBsBTCSikwH8asQxOBjqWghRdNFeL/yC183BZ88elXx0\nv/1i8x0513Wz4Rw4/ESNHzquyMuiZFqsdLlOi5VtQEvWYkWUHYuVXvsOUPfpFWNlnqdZvDja7iAp\nJoIIK6doad7cO6moiW1CQSLo9hF5Z/AP4q4tLVXPZtKk2P3Oz6mX8D3ooKi16c03o25WM9ec2+e+\natUixP5gyoqLoQOAXgAWEpGOsLsLwP8BeJWIrgOwCsBlAMDMS4noVQBLAewD0D/iKhQEQUgYX2FF\nRBMAdARwMBGtBjAEQGUAYOZnmfk/RHQeEX0P4HcA1yTTECLv7N+aRx4BXn1VbfsJq7171TIszvPc\nXGomNouVl6jxQwurIBYrZ4yVzkrvdJsVFADduyeWbsHEdAVmMnjdPObsi6CuQPNZ+YlJU1gdfHC8\nlQeIt1glIqxSsXaZEAFe3qWgwsorJYfGS1jVqBEVVnfcoZ4FAHzxhVqWqX//xAL1Mw0zfw73+NHO\nLtc8BMCy8FHFRv9iF3dR/iJ9HD6+QwIz9whwzo3hNMcfnYcK8HcF7tmjrFM2kRSWK1DPqvMjiLBy\nC15/+mm17bRYaYtTKhYrtzxHQUkl3QKQmLCytXHvXrsAOuyw6PIsbrmuTJyiJRGxFKawWrgwfh+g\nfnQEsUpri5Vtv4mXsHImoTWvHTBACSux51QMZLDNf6SPwycHJkQrknFF+QWv792rgm6dg3+QuJyg\nrkAnbvehp68HEValpbExRGYbzPd6EN20SZUfZBFmZ1t1PYlcZ5LMrMBkhZVb/b17x++vWdN+ftDy\nE3HvJSOsdAJOE68Yq6VLg5XrJqyc96eFvg3n9V4zUQVBEIRYckZY+WWdtvHFF/H7zEFhzx41QDoH\nhnfeASZP9i47qMXKiduAoy0EiboCnWU7hVZhoXLX9Onjv0yJE9safX75nNza7MTLYuVcLDlIjBXg\nbrGyYWbdN3Er37k/3RarAw8Mdp4ZsB+EMCxWznizVFzggiAIFY2MCqu2bd2P2dZe8+Paa+P3OV2B\nhYXx1odbb41mYncjWWH14Yf2/YlYrPbtU8kzndhcgVoc/fijut4mNL7+2l6fc3YdAJx+unv7bITt\nCvzgA3t5XhYrJ4MHR9e6c2JmIj/wQOC446LtMElkOZawhJXTHblyJbBmTfx5XpSUBLNYeQkrZzsS\nsVglOwlCyE0kx1H+I30cPmHlsQpEnTrpr8NpsapUCbjkkvhZUn4kK6wAtUj0o4/GposIkiDUTLfg\nTIyq2+AMXtcDmVvyUC/c1ugzM5v7kUzwuvkMnEurvPCCvTy3GKt//CN+X506wYRRhw5R4eLs22wI\nK+dzOvJI92NuuAWvOz8bXq7AIMJKLFYVA4m/yX+kj8MnoxYrZ1BsOnDOCiwstMez+OEcOLZti03Z\n0KyZ+7W1asW7ovTMtCDpFrzaZJ5jWpyCXO/E5grU9QQlbIuVG4nE9BQUBJtBR+TufrUJKzexlUy6\nhSDCKugxk6AxVl7P03mfqaQZEQRBqGhkVFilmu8nCOaAql2B+++feDnOweTUU2Pf163rfm2lSvED\npxZlQVyBbtisZvp+CwpSs1g5rUhui/c6cXMpeQmrN96Ibmthpaf0u7FvX/DBvLAwVhx4WZ8SEVZu\nlql0WaySIajFygunKLVZJXVf3Htv8HIFQRAqAhkVVrfckv46nLMCk7VYOQdaZ6yL12BdWBhvsUrE\nFejG4sUqlkpjuuxKS4Fly7yvd0IENGmitidMiG3H4sXByrAtYF2zpvesQBMdN3bEEd71uLkcTbp1\nU68FBbH94zZD0GyXM82BTSyFIaz0Z/GAA4JfAwS3RrpZrMzPltvz0DiF1f332+sBgMMPj90vlqz8\nQuJv8h/p4/DJaIxVy5bpryNdwqpWLWD9ens9TgoL44OntcXKa/20//3PXpbZFp2bSaMHwU8/dS/X\njYICoH79+P3btgEPPxysDNvSKDVqeFusgOh9aYuVn7Vm6FB/AdO7NzB1arwr0E0EEwFHHw18/338\nIsu2a9yseIkIq379VC6ohyypKL2egVdMlImbsDKTpNaqBWzd6l6GU1itWGGvx3auxF7lFxJ/k/9I\nH4ePr8WKiLoQ0TIi+o6I7rAcr0VEU4hoARHNIiJX+ZSJGUO2WYHJuAKdA8QZZ7jXY2uD87gZn6Vx\nPg8z+anGz32ayjN1u/a114ApU4KVYSbf1DiFlVci16DCCvC26L3zTtRiVVgYO+B7CZ/XXgNutKS3\nTVfwOpGyztlmX3o9A69ZfCZuwspcqLp2be8ygsSnacuUCCtBEIRYPL9CiagQwEgAXQC0ANCDiJzR\nMH8D8DUzHwfgKgBPuFaWAcejWcesWXbrURCcFqsqVYDOxmIYXvfiHNjdCBJz5jdop/JM3QbyoNYR\nwC6sataMFQJeSw/pWYGpfjbq14/ej9MV6PYMiZRL7uCD3dsXhETO1c/iqqvij3k9gyCuUF2+n7Cq\nVcu7DGc7GjaMP0cLKPMz9PzzyaVNEQRByCf8hrP2AL5n5lXMvBfARADdHOc0B/AJADDzcgCNiegQ\nW2GZsFg5B4WOHRMb+DROMbB3b6wQcpZpxjdVqhSsziCWDr9zvJ7pwQcD992ntnv1iu7v2FG9ug3k\nbvE89erF77MJq7//PVZY2USBabEyM80ni9k3iQgr89UkkRmsuq4//MH/XC+LTliuQJtgN/vDT1g5\nP7vbtsV/VmwWK/Eo5B8Sf5P/SB+Hj9/QXh+AsaY91gA4yXHOAgCXAPiciNoDOBxAAwBxKS4zIazM\nOo44Qg12eqA4/HDlFgyyPMj338e+dwor52DdtGl02+YKBIBDDwU2bHAvw4YeiB97TCU2NQli6dEi\nyQwqHjwYWLTIvT/c3E4//RS/zymsbrxRJYI1y7C58JJxBdpYsEAl+TSfpdNi6BVjBdifoV+At4ku\nv0MHfxdqsksH7dkDnHsusGSJPRZP4yasTBJ1BW7bpqy+ZjydTVgle29C7iLxN/Fs3boVK1euDL3c\nOnXqoIbbkhFpRPo4fPyG9iBzfP4PwBNENA/AIgDzAFi/YjPtCtSDrR749t8fOOgg7+tr1QK2bIkX\nA3v3xlox/GKsnPd6zTXxWcWDCCsddNytW7ywAvxzH7mJmn37Yq+tWjVqFbHN9HPDGbxeWKiek2ml\nslms9L2nKqyOOiq2PN2GoDFWgPcafUHQn4VEhHLQdmh271afTa863Ja/efJJ4Kabou9Ni1W9evGC\n2fnZLSlR6SEGDAAmTlT7bK5Ac3KHIOQnNTBlysd4882PQy119+5fMHLkY+jTp0+o5QrZwW8oWAvA\njLBoCGW1KoOZtwEoW1yGiFYC+AEWHnxwqPGuKPIXLrYBVX/5B7HwVK1q379rV2wQfCIxVpMnAxdf\nHJ/7KshATOQ+hd3vftyysRcWKrFjXmtu+7mdzJxZTotVpUpKWPlZrHR9WlglK7p1f6XiCkxV8Ou6\ngrh/vaw6fsHrbpZQTadO6tX5eXG6/pIJXq9UCbjuOjXrculS91mBQHHkTxDykevx++/Xh15qtWoi\nqPIJvyFlDoAmRNSYiKoA6A7gLfMEIqoZOQYiugHAp8xsmQMH3HffUAD6ryiVdrtiDjx6sNUDVtWq\n8YNX376x792E1QcfeLsCTSpVindFEUXFxuDB/mVo9CDpFrzsZ7GyDeSVKqnyzGvNbS2s3Mo2n4O5\naLMWNIWFsYO7lyvw00+BSy8FvvzS/T68cIpn3Y4gFiu3GKu7706sDTq4O8hkhGQtVnp5Ji9hpVNu\nOIWVM16sWjXvNtqElZ5tuG9fNG5PnxvrWi9C9H98qHdFQs4j8Tf5j/Rx+HgKK2beB+BGAO8DWApg\nEjN/Q0R9iUhLkhYAFhHRMgDnALjZrbyg7pVDrKHvwbANqHrfu+/GHu/ZE3jmmdjrvYKWvYLXTZyW\nBb1GohYsWiQlMk0/GWEFREWNOdhqV6D5LGzCyg3z3sxy99sveswcvL2C1/WgvHmzd51+mILFabHS\n223a2K81n0OLFsADDyRW99FHq1xPQdJ6eFmsvD5TXsLqwAPVGotu1zs/Z8nMNN29OyqszHsoKFBZ\n83v08C5TKJ8MGTJEYnDyHOnj8PEd2pl5GoBpjn3PGttfAGjqvM5GUJdLWLmZnO6KevXcxYTGzWIF\nJCesTOGhLVa6XUEsHNoVaAso98tyXVDgneogiMXKVofbwFy1avRY9erRhJq2tus2vPeeek0m/9HZ\nZ0e3zZhPp7D917+ABg1UfN1RRwE/R6ZV2CxWtn4D1KxPt/UhidSCyUE+t8kKKy1sbM++sFAlR73h\nBvXe2XZnuW7C2KsdWtjt2hV7XN9zMsv6CIIg5CMZXdLG6SIy0bOp5s1LLebFvFYHYTvdRM7tmTOj\ng6aXxcoZIO2GWx4rPagOGOBfhkY/rwYN7Mffecf9Wpsr8I03ovdouvFM/CxWXsLKZrGylaf7RAdO\n24TVJZfEWxQ1++0HXB8JdWCOxhH17atijfTzP+oo4JRTlLvuwANjxawtxiqZZWsS+SHgJSC9Pg9b\ntrjHWLkl63Qr17wXZyZ/t3K2b1fXbdyoYgad58pSNoIgCIqMCisvunRRr/Xrp1dY2UTWKadEB1yb\nxUofMwdlL8uWM8bKZL/9oi6jRGKsDj0UePBBtX3OOdHjfhm5L7gAOO206PuLL7aLx0RirNzaXa1a\n9JiZEsAmrJwCwyY4GjdWrjkAePHF2GNOV6bmmWdUio3u3YELL4xPm+F370HdaTbSabF66SUlDoMI\nKz+LVTKzJC+5xH6drnPuXO8yhfKJxN/kP9LH4ZMzBvwgM6u++UZlkD7JmUnLwBxs9Yw1P4uViW3g\nrVED2LQpmOsO8M68bgbQBy1PowfM996LluEViEwEnHee+uvZM7YNtnM1Wgj5uRKdDBwIXHZZ7D4d\nl+NVH2AXVo0auT8rN2Gl6dw5NlO+xuxfm8XKT1jVrBm/zp5XolEnyVqsADXp4fnn4/frz0VQUehX\nj+251qhhF1b6nv2SjgrlE4m9yX+kj8MnZyxWQYRVQYG/y8G8XosON2EVNOO2XhInEWHldh9VqiQf\nl2IblIOuL2c+tyAWq5o1Y2fHde0a3Xa7tyOPjF/U2VbXRx8Bf/pT7D5bvzZs6P2skrFs2lyB5r3r\nGZsa7SK2WS2d5QRpT6pJNL/9Nn7fEUfE1p+sxap9e/v5gPo8ePWBrBEoCIKgyBlhpb+gidzFQpCY\nJF1O+/bAf/8bu8+5bcNmzdEDih5UH33Uuwwib2GlMc8pKvIuzw2veKh27fzbYKtj925g0KBYi48Z\nKO5mJbMNvGZdurwzz4wNNne7v0aNots2QZOMsLLdu1nOJZeoVy1OlixRr5UqKffiHXHLkNsnA9x6\nK7B6dfy5Xj8MkhVdM2ao16DCyu25OWfRaj77DBg2LLZ/R4yIPVeyrguCIChyRlhpvAaeIAOpHtwa\nNYqubecWY2WryzbwOoWVM/eV5v33/dtatWp0EAoa9GwmOHXizJJurufnljYgiLByujO1RWLxYuDD\nD+3lmgPvyJHq9fTTo/vcnonb/hNPjG6nQ1gFceHpY4WFKuv4bbfFHv/vf6MC0CzniiviJxxcc030\nudgIYvUZPjx+nxapbp8Tr1mBJs6VCjSnnx5vsapeXb26WayCpJ4Qch+Jv8l/pI/DJ2dirABg0qRY\nS4YT20Bat27sUhpaWJiDizngvftudNsmVJpaEkc4hZUbplXHbdCvUsU+gLZtCxQX26/xEhBOi9UR\nR0Rn2rnlbfIKvNdl6qSmGi0GW7aMPfegg4Bff1Xb5sCrrx03zn8ZIVss1+GHx1ovnVnr9XWJ0r+/\n6uOXXgrmwvMTX6eeGn+u2/mnnKImIbgRRFh5tVX3gxOnJbFtW+/z3O7VrFsLJ32uWKzyE4m/yX+k\nj8MnpyxWl13mbT0oLPRfHNeWqNCtTNtApq0k48dH92kBZmZyP/549zYQBRNWZrtuvDG6PWZMfHlm\nOzRXXhkvrA480F5vojFWzpmNzgB0LShMoWrLb+SVvsJ2nbM+Xc6JJwJr18aek4ywuuqq+BmGQSyH\niZ6TTC626dPDaYcT8zk99lisi9VEr7voVoe5XwsrN1egpF8QBKGi4js0EVEXIlpGRN8RUVyECREd\nTETvEdF8IlpMRL2DVn7eed7HnRaiggIVTOxcNNbEZh1xG4BtVi3buTpg2BRW110Xm8/HiU0sHHyw\nEiS2Y2a9DRvGHnMTVpUqKVeUmX7hgAPc26QJ6gq0JVt1ttG02NgsVjax5UTf+z33RPc5hRUQL6pT\nXeNPX28rx/msExVWtgWR/cSGju/yIsg9m/W89hrQunX0vfn/ceutsWs9/utf/mVrnK5Ap7AaNgyQ\nH8KCIFREPL+miagQwEgAXaCWrulBRM0dp90IYB4zHw+1UNhjRJSSi1EPRs44Df0lrpeIMc8FgIce\nUjPTAHdXoInNYuWV8FALEq9BdsgQFVtjc2muWwc89ZQ6vmRJsPxJZn22wb5pU+Dtt6P73Nx/hx8e\n3bYNzqbLSwsrE+fA6bZQr/N4kJmP+lyz7VpY6QHcbKNXGxIhkTQJQSZOmCQzS87sIzeCtNX8nFx8\nsbsLu7Q0OuMViLqIg9Shz9X36fx83HYbMHSofzlCbiPxN/mP9HH4+A177QF8z8yrAICIJgLoBuAb\n45x1AI6NbNcAsCmyxmDK7L9/bNyITh/g9sV/++32/W4DsG3wO+YY9/Y4F3W2iQY9mPzhD/HHzPN1\n4kuvNh5wgMp47Sas9DXmwHnNNcCrrwILFsSee//98akETEwxq12BthgrjU1o2IRVEPFjC4DWwurY\nY4Hvvotto2bTJv+yg+DXxvXr/RcuBtRsx9deU7MBbZ+tIEsQ+RHkHDOnlNf5zng5TSLCSvfTq6+q\nZX+6d/e/Vig/SPxN/iN9HD5+X9P1AZiTxtdE9pmMBtCSiH4CsAAeizAnirb6vP66ip3SYsVvujiQ\nuMVKn9+8ufsA6BRWXbtG41KcBFlI2s9ipYWin7DS3HILcNhhdgtF5cpA7drebWnbVqWpCGKxGjEC\n+PTT2H02V6CzDhtewgpQixzbrvdKURGEoBYrr4Bzk65doxnng1qsKldWAf5du7q347rrgK++CtZW\nAPjjH6PC2pm+xPwsXXddsDY6eeaZaAC8/lwce2zUJf2f/yRXriAIQj7gZ7EKEoL6NwDzmbmIiI4C\n8AERHcfM25wnDo3xDRRF/tyZNk0ta1K3bmwwuR6IFy9Wg4i14QGEVZAAW9usNzN+qEMHYMWK+OvO\nOss7BsuJvqfzzosOWrY4HRPn/iBiTtOsmbIwmGV99RVw9dUqb5Ezxso5k/CQQ+Lrs1msgmBb+Hjv\n3vjzzPY0bWq3CiZCIok9E8VMqeH1OSstBXr1Un//93/2c+69N+om9Gur7jcz7UaieIm3//5XzW60\nzQZU/ViMV14pxqxZydcvCIJQnvETVmsBmKHUDaGsVianAngQAJh5BRGtBNAUwBxnYVpY+blz9Ze2\nW8yJPu7M8u1XnhMvq4IeDBcvBr74Arj00niLlReVKgULRtZocfH88/EB+FqwBA2oTmaWmykW9+2L\nt3rdcgtw7rneZSZrsdL73SxWtusXLfJuSyLY2pXqrLagrkDzvCCJcbWwGjwYeOSR+HNvuMG9rqB4\nfX7MyQpAbD+pdhbhqquKylKPSOxG+Ub3n7iL8hfp4/DxE1ZzADQhosYAfgLQHYAzocEyAJ0B/JeI\nDoUSVT8Eqfz444O5DYLk1Unm+iDumvr1owLPJqwaNw7WBr92eQV7u6VQcBNHQQZVt2ei63fGWFWr\nBpxwgv2aiy4C3nwz2AxAjdlGfe+mW9Vv+Z5E11m0kU6LVVBhZXsOTmzLMD38MDBvHvDBB9FjM2ZE\n46bc0lz49Uv37sql50xJ4YYprPzyYAnlDxls8x/p4/DxHFIiQeg3AngfwFIAk5j5GyLqS0Q6//hD\nANoS0QIAHwIYzMybg1R+//0qpilZnPEjbjRvbo9hMgc1L4HkTBBq1nnvvcCWLf5t8MO2VqJunxZW\n3bsD118fPZ6KIHBe6wzIT0S4TJmiZu/5Wazc0Pfcvr265/POU4HgTsIesJMVVmPHqpgiL4KI9qCz\nHIMK1tNOiwau16wJ/Pxz9NjXXyux5ZV/DVDZ5RP5sWC6AitXVolX9ZqDgiAIFRHfyfDMPA3ANMe+\nZ43tXwBckGjFn3yiBpJUxIHX4G+KpiOPtLuWzMFv4sTYnD4memCzCatKlfwzi7vRrJmKWXnxRbvF\nascO9aqD+Fu3BkaPjh53E0dBcLN26dfKlRMvzy/G6txzo8HdJs5zzaSjtjaGTaLlXn21ivlbuND9\nHFsSWCfOjPPO51C9uvoMJLLWpcnBB0e327TxXlcyWZz/V1deGX4dgiAI5YmsZV7XS5Qk88seUMHN\nZg6eZDDFV/XqsfmxjjsumkMpGStOEEaNArZtU9nAbRarVavUq9vMw1SEhpsoe+st9ZqqsLJdO3Cg\nilnza4tXHWHiNSsw1dQIQVyBfsJYL3FkfiauuCKatyxd2c11O9w+dya2HyxC/iA5jvIf6ePwycpa\ngb//HhUtfrE0tvdAsMSTfngNTK1aqXYC3harVKhcOVqmHmR1XbNnq9QJ//ynu0UsFWuf2zPWVrtE\nRWRBgbvF6tJLVX4nN445JlhOqoIC4I03EpsU4EWYwtRJkISifsJKx0mZ5+23H3D++f5lJ8qTTyZ+\nzRVXqNmvQv4i8Tf5j/Rx+GRFWJnZtIMs3prMAOgmmiZPVtayDh0Sz46tB7h0uKT0QKzFSbt2wa/R\nZNMVWL16bEoGW8C1G2+9FU3+6keYVhqdnyqZMr2E1ezZ7gsdmzj7z1mmFreJZn1PhpNPTvyaV14J\nvx2CIAjlnawIK5Nklv4IgttgaVo7Eq07kSVQEoVIBacHtUIVFyt3ZbKY9TRpEh/UnKjFatGi2GV8\nzGdkxvrYqF49Vmx7EZawWrs26voNKupMvD4Dpig2z0vUFWizWKWLBg3i98nsPkEQhMTJSWEVxBWY\nrrptpCuWxcnEicHP7dgxtbrMwXrpUru1JJHn7hRP5rWPPuq+3FCi6LUgU8VMoPnbb4lfn2pyUiD+\nmTsXmfZLXxDW5zJTn2+h/CE5jvIf6ePwyUlhFQZBBot8G1CSdQXa4tXMPFbJWEzM8qtXTy3fl0mb\nNuH329at6tVcosevjieeAO67L7F6/CxWV1yhUmtcfHHs8Uy4AgXBhgy2+Y/0cfhkbVagJl3Cqlmz\n8OrWLpl8EmJ+VhDTYpWMsPK7Rq8rlwtoYXXGGcGv2X9/oFGj1Op1CqbCQmWJNJ/7nj3xywmlG3EB\nCid3YscAACAASURBVIIgJE/OW6yOPTa6CG9QduxwzzytueYaoEuXYOUdeaRaVy+MRKC5gpvw+eQT\n9czNwbV798TL9xucTz1VxTltDpRKNr3Y4ouqVQunbL88Vk5q1VL/Ezr5bdBcbWHitpSUIAiC4I+v\nLYKIuhDRMiL6jojusBy/jYjmRf4WEdE+IgqcMtM2K9AcjBYsAGrXDlqaolo1f/fJmDHAZZcFL7Np\n08TakOu4DfitW6tXPbgDwMsvJ15+ECtXvXoqrUW2uflmYNeu2H1/+Qswf3649fi5Ap0EDegPm7p1\nVVvFciVIjqP8R/o4fDwtVkRUCGAk1FqAawF8RURvMfM3+hxmHg5geOT88wH8lZl/DdoAm8UqkRlp\n8uUfJZFn0aEDsGKF+/FUXbTlqV8KCuLdbVWqpDbr0kn16vEpGLyE1Z49/v8HbmtICkJYSPxN/iN9\nHD5+doX2AL5n5lXMvBfARADdPM6/AsCERBpgG8A/+MB7uZBsUZ7Egh+PPAKsX+9+vFq19CbQrGj8\n/jtwyimx+7ysqkF+XLzwArB8eWrtEgRBEMLFL8aqPoDVxvs1AE6ynUhE1QGcA6B/Ig2wuQIlxiM5\nwhJ+P/6oArOXLs1+W8o7icZYJUKtWtFFl9OB9KEgCELi+AmrRMJjLwDwuZcbcOjQoWXbRUVFKCoq\nStusQCF59Gy3evWSX4/RTBYq2BkxAlizJtutCJfi4mIU60UOhXKP5DjKf6SPw8dPWK0F0NB43xDK\namXjcvi4AU1hpRFhlbscdFB07cBEOe00YOXKcNuTb/zpT9luQfjoH0waCYot38hgm/9IH4ePnzNi\nDoAmRNSYiKoA6A7gLedJRFQTwBkApibagCBrBXqRTldIeUO7ll57Dfjii+y2hSi8pKDlGXGnCYIg\nVCw8hRUz7wNwI4D3ASwFMImZvyGivkTU1zj1IgDvM3PC9o1ULVYffQScfnpqZeQDH38M9Omjths3\nTm5RXSF8RFgJgiBULHwThDLzNADTHPuedbx/EcCLyTQgVWH1hz+oYPcZM1Irp7zTqVO2WyAIQr4h\n8Tf5j/Rx+OR85vUgiFVAEMJH/q8EGWzzH+nj8Ml6tqEwhFW7dpnJm5RPawUKmUHEiSAIQsUi68Iq\nDLEycGDqQfCCIAiCIAipknVXYKtW/uv6CYKQecTaJkj8Tf4jfRw+WRdWs2ZluwXBkYFGEISKhAy2\n+Y/0cfhkXVhVr57tFghC+hAxLgiCULHIeoyVIAhCmBDRGCLaQESLjH1DiWgNEc2L/J1rHLuLiL4j\nomVEdHZ2Wi0IQr7ga7Eioi4AHgdQCOA5Zn7Yck4RgH8CqAzgF2YuCreZglA++dvfgG3bst2KCscL\nAP4F4CVjHwMYwcwjzBOJqAXUihItoBad/5CIjmFmWWwLEn9TEZA+Dh9PYUVEhQBGAugMtW7gV0T0\nFjN/Y5xzEICnAJzDzGuI6OB0NlgQyhN3353tFiRPeXVjMvMMImpsOWS7o24AJjDzXgCriOh7AO0B\nfJm+FpYfZLDNf6SPw8fPFdgewPfMvCryxTMR6ovI5AoAk5l5DQAw8y/hN1MQBCFlBhLRAiJ6PvKD\nEADqIXZh+TVQlitBEISk8BNW9QGsNt7bvnSaAKhNRJ8Q0RwiujLMBgqCIITAKABHADgewDoAj3mc\nK6mABUFIGr8YqyBfMJUBnADgLADVAXxBRF8y83epNk4QBCEMmHmj3iai5wC8HXm7FkBD49QGkX1x\nDB06tGy7qKgIRUVFYTcz55D4m/xH+jhKcXExiouLUy7HT1g5v3QaItZsDiiL1i/MvBPATiL6DMBx\nAOKEVUX8YhKE8koyMVZhfTGFDREdxszrIm8vBqBnDL4FYDwRjYCyxjcBMNtWhvn9VVGQwTb/kT6O\n4tQlWnQmip+wmgOgSSQQ9Ceo2TM9HOdMBTAyEuheFcBJAEbAQkX8YhKE8srUqcDPPyd2TVhfTKlA\nRBMAdARwMBGtBjAEQBERHQ9lhV8JoC8AMPNSInoVwFIA+wD0Z5ZVQQVBSB5PYcXM+4joRgDvQ6Vb\neJ6ZvyEi/aX0LDMvI6L3ACwEUApgNDMvTXfDBUFIL0cfrf7KG8zs/PEHAGM8zn8IwEPpa5EgCBUJ\n3zxWzDwNwDTHvmcd74cDGB5u0wRBEIRsIvE3+Y/0cfhkfUmb8kSTJsCJJ2a7FYIgCJlBBtv8R/o4\nfGRJmwSoXRuYMyfbrRAEQRAEIVcRYSUIgiAIghASIqwEQRAEK8OGDcvKzE4hc0gfh4/EWAmCIAhW\nJP4m/5E+Dh+xWAmCIAiCIISECCtBEARBEISQEGElCIIgWJH4m/xH+jh8fGOsiKgLgMehMq8/x8wP\nO44XQS1r80Nk12RmfiDkdgqCIAgZRuJv8h/p4/DxtFhF1v8bCaALgBYAehBRc8upnzJzm8hfToiq\nTC8Em+/1ZaNOqa981ycIglAR8XMFtgfwPTOvYua9ACYC6GY5j0JvWYrk+6Alwkrqy/X6BEEQKiJ+\nwqo+gNXG+zWRfSYM4FQiWkBE/yGiFmE2UBAEQcgOEn+T/0gfh49fjBUHKONrAA2ZeQcRnQvgTQDH\npNwyQRCECET0EoAJkUXhhQwh8Tf5j/Rx+BCzu3YiopMBDGXmLpH3dwEodQawO65ZCeBEZt7s2B9E\npAmCkGcwc8qhAkRUFUB3AF0BzISaSPN7quUmUD97fVcKyfHDDz/guOM6Y/v2H/xPzgj6o5rZvq5W\nrQ8ef7wt+vTpk9F6BW+IKKnvLz+L1RwATYioMYCfoL7YejgqPhTARmZmImoPJdY2OwsK48tVEIQK\nSx0ARwLYCmADgDFQ30eCIAg5haewYuZ9RHQjgPeh0i08z8zfEFHfyPFnAfwZQD8i2gdgB4DL09xm\nQRAqHrcCeJqZVwAAEa32OV8IAR17I+6i/EX6OHw8XYGCIAi5ABFdwMxvR7a7MvO7Ga5fXIFpQFyB\nCnEF5ibJugLTnnmdiLoQ0TIi+o6I7gix3DFEtIGIFhn7ahPRB0T0LRFNJ6KDjGN3RdqwjIjOTqK+\nhkT0CREtIaLFRHRTOuskov2IaBYRzSeipUT0j3TfY6SMQiKaR0R6EEvnM11FRAsj9c3OQH0HEdHr\nRPRN5JmelMb+axq5L/23lYhuykD/3RX5jC4iovFEVDXNz/TmSF2LiejmyL501NfR2D490XYKgiBk\nDGZO2x+U+/B7AI0BVAYwH0DzkMo+HUAbAIuMfY8AGBzZvgPA/0W2W0Tqrhxpy/cAChKsry6A4yPb\nBwBYDqB5muusHnmtBOBLAKels75IObcAeAXAWxl4pisB1HbsS2d9LwK41nimNdP9PCNlFQBYB6Bh\nmu+vMdQKCFUj7ycBuDpddQJoBWARgP2g/tc/AHBUOuqL9N1ZAM4E8EIy/ZDKHwAWwmfFihV8wAFH\nMMA58ofIX2brrVbtBn722Wez3R2Cg8j/fcLfF+m2WAVNMJowzDwDwBbH7guhvoAReb0ost0Naqr2\nXmZeBfWF3j7B+tYz8/zI9nYA30Dl9EpnnTsim1WgBq4t6ayPiBoAOA/Ac4jaxNNWn67W8T4t9RFR\nTQCnM/MYQMUPMvPWdNXnoDPU/8HqNNf3G4C9AKoTUSUA1aEmnaSrzmYAZjHzLmYuAfApgD+lqb6b\noNK4NAPw1wTaKKSA5DjKf6SPw8d3rcAUsSUYPSmN9R3KzBsi2xsAHBrZrgdl8THb4Ux0GhhSsyTb\nAJiVzjqJqAAqT9hRAEYx8xIiSuc9/hPA7QBqGPvSWR8D+JCISgA8y8yj01jfEQB+JqIXABwHYC7U\nAJ2Jz8zlACZEttNWHzNvJqLHAPwPwE4A7zPzB2n8zCwG8CAR1QawC0qUz0F67rERlIWxKoCbAfw9\ngXYKSSIBzfmP9HH4pFtYZS3ak5mZvHNnJdU2IjoAwGQANzPzNqKowSXsOpm5FMDxEWvL+0TUyXE8\ntPqI6HyotBnzSC2sbWtP2M+0AzOvI6JDAHxARMvSWF8lACcAuJGZvyKixwHcmcb6AABEVAXABVAu\nsdjCQq6PiI6CEouNodISvEZEvdJVJzMvI6KHAUwH8DuUm68kTfXdAuAxKIucIAhCzpJuYbUWKq5E\n0xDqV2q62EBEdZl5PREdBmCjSzsaRPYlBBFVhhJV45j5zUzUCQDMvJWI3gVwYhrrOxXAhUR0HlTM\nTA0iGpfG+sDM6yKvPxPRFCi3ULrqWwNgDTN/FXn/OoC7AKxPc/+dC2AuM/8ceZ/Oz0tbADOZeRMA\nENEbAE5BGu8x4lodE6nvQajnnI57XMzMixNpmyCUJ95//31s3bo19HIvv/xyNGzY0P9EITTSmm4h\nEuexHCro9CcAswH0YOZvQiq/MYC3mbl15P0jADYx88NEdCeAg5j5TlLrF46HGrjrA/gQwNGcwM2T\nMk29GCl/kLE/LXUS0cEA9jHzr0RUDSqX2DAA56TrHo26OwK4jZkvSOP9VQdQGLH67Q9l9RgGFY+U\nrj78DMD1zPwtEQ2FikFCuuqL1DkRwDRmfjHyPp2f0eOgJh60g3LNjYX6nzs8jXX+gZk3ElEjqM/o\nyQDuDrs+InoHyrq1CwCY+dKgbQwDqqDpFtKd40jSLWheR6VKs0IvtbBwAqZPH48zzjjD9RzJY+UO\nJZluIROzac6FElffA7grxHInQIm1PVBxXNcAqA31Zf0t1EB9kHH+3yJtWAbgnCTqOw1AKZS7Y17k\nr0u66gTQGiq+aj6AhQBuj+xP2z0a5XREdFZguu7viMi9zYeK1bkr3fcHFVv1FYAFAN6AitlJZ337\nA/gFwIHGvrT2H4DBAJZAzdZ7EWoGXjrv8bNIffMBdErXPULNxG0X2W6Q7Gc7hf8JFsJHZgWm969m\nzdP5008/zXY3l1uQ5KxASRAqCELOQ0SjAexh5gFE9DQz989w/SzfleEjFqv0UrPmGXjrrQc8LVaC\nO8larNIdYyUIghAG2xFNr7Izmw0RBEHwIu2Z1wVBEELgFwCnRtJJlGa7MRUFyXGU/0gfh49YrARB\nyHmY+UEiagaVqX1ptttTUZCA5vxH+jh8RFgJgpDzEJFOsFotEvdwkecFgiAIWUKElSAIOQ8z9wDK\n0p4M8jldEAQha4iwEgQh5yGillBTtSoDaJnl5lQYJMdR/iN9HD4irARBKA/8OfK6G8CT2WxIRUIG\n2/xH+jh8RFgJglAemGNsNyCiBsz8btZaIwiC4IIIK0EQygPXA/gvlDvwNABvep8uCIKQHURYCYJQ\nHljGzMMBgIgO4cjai0J6kfib/Ef6OHxEWAmCUC4gouehLFYbst2WioIMtvmP9HH4iLASBKE8cDeA\nBgB+hQpgFwRByElkSRtBEMoDjwMYwsy/AfhXthsjCILghggrQRDKA6UAfoxs/5rNhlQkZB25/Ef6\nOHzEFSgIQnlgN4AWRDQQQK1sN6aiIPE3+Y/0cfiIsBIEIaeJLGPzOoCDARCAp7PbIkEQBHdEWAmC\nkNMwMxNRJ2Z+JNttEQRB8EOElSAIOQ0RdQPQjYjOAbAZAJj50uy2qmIgOY7yH+nj8MmYsCIizlRd\ngiDkDsxMKRbRhZk7ENEoZu4XSqOEQMhgm/9IH4dPRmcFMnNe/A0ZMiTrbZD7kHspD38h0YiIukZe\nzyOi88IqWBAEIWzEFSgIQq7zGlTg+qsADslyWwRBEDwRYSUIQk7DzGOz3YaKisTf5D/Sx+EjwioJ\nioqKst2EUMiX+wDkXgQhHchgm/9IH4ePZF5PgnwZ+PLlPgC5F0EQBCE3EGElCIIgCIIQEr7CiojG\nENEGIlrkcc6TRPQdES0gojbhNlEQBEHIBrKOXP4jfRw+QWKsXoBaTf4l28HI1OejmbkJEZ0EYBSA\nk8NroiAIgpANJP4m/5E+Dh9fixUzzwCwxeOUCwG8GDl3FoCDiOjQcJonCIIgCIJQfggjxqo+gNXG\n+zUAGoRQriAIgiAIQrkirOB155IVsnyNIAhCOUfib/If6ePwCSOP1VoADY33DSL74hg6dGjZdlFR\nkUwrF4Q8o7i4GMXFxdluhhASEn+T/0gfh08YwuotADcCmEhEJwP4lZk32E40hZUgCPmH8wdTNn4J\nE9EYAF0BbGTm1pF9tQFMAnA4gFUALmPmXyPH7gJwLYASADcx8/SMN1oQhLwhSLqFCQBmAmhKRKuJ\n6Foi6ktEfQGAmf8D4Aci+h7AswD6p7XFgiAI3rwAoItj350APmDmYwB8FHkPImoBoDuAFpFrniYi\nye8nCELS+FqsmLlHgHNuDKc5giAIqcHMM4iosWP3hQA6RrZfBFAMJa66AZjAzHsBrIr8QGwP4MuM\nNDbHkXXk8h/p4/CRtQIFQagIHGqEKGwAoFPC1EOsiFoDNdNZgAy2FQHp4/DJGZP32LFj8dRTT7ke\nHz16dAZbIwhCvsLMDO+ZyzKrWRCEpMkZixWRM2NDLP/+979xww03ZKg1mae0tBQFBVGdy8y+z0QQ\nhMBsIKK6zLyeiA4DsDGyX2Y1C4IAILxZzTkjrEx69uyJtWvXoqSkBOPHj8ecOXOwfPlydOrUCX36\n9MFJJ52E/v37Y/fu3WjTpg1GjBgRV8aqVatwxRVXoFGjRli6dCnuv/9+PPfcc1i9ejVef/11HH30\n0Rg7dizGjBmDkpISPPDAA+jUqROGDx+Od999F7/99hsefvhhdO7cGb1790a1atWwYsUK7L///pgy\nZUpMXS+//DKef/55/Pbbbxg0aBB69eqFn3/+Gddccw22b9+Ohg0bYty4cZg4cSIef/xxEBGGDRuG\ns88+G0VFRTjppJMwb9489OzZE9OmTcOOHTvQr18/nHvuuZl65IKQ77wF4GoAD0de3zT2jyeiEVAu\nwCYAZtsKqIizmiX+Jv+RPo4S2qxmZs7In6rKnbFjx/LIkSOZmXnHjh3MzDxlyhS+++67mZm5bdu2\nZedeeuml/MMPPzAzc79+/XjOnDlx5a1cuZKbN2/OpaWlPH36dG7Xrh0zM0+dOpXvu+8+3rRpE3fp\n0oWZmbdv385FRUUxdW/YsIE7duzIzMy9e/fmcePGMTP/f3v3Hi1XWd5x/PtwzokYgdBIiAROCCCQ\nRCEQIEQuYVCWHFmVIHUJsUgBl41t0XoncdmeYVVQWrRAgy1ycakFaStoAwsiUpiUKgLR3IAkkEQC\nIZJw0WC4JDknT//Ye8JkMvfZe2b2nt9nrVlnLnve592zZ/Y8532f2dvPO+88X7Zs2S6x8s95/fXX\nferUqe7u/vnPf97vvPPOncsMDQ35lClTfOvWrf7qq6/uXJ9MJuMPPPDAztfgwgsvrPg6iSRJ+Llv\n2X4mCMmPgA3ANoKzQlwMjAbuB54C7gP2LVj+q8BqYCVwZpk2432hutSaNWt8r70OcfAOuRBe2t2P\naC6jRp3qCxcubPdmTqxG918dN2K1Y8cOvvzlL7N8+XLeeOMNjjrqqN2WWbVqFZdccgkAW7ZsYWBg\ngOOOO2635SZPnoyZccABBzB58mQAxo0bx/3338+aNWt44oknOP300wF46aWXAPjBD37Abbfdxh57\n7MELL7yws61jjz0WgP7+fn7/+11PnbhgwQKuu+463J01a9YAsHLlSr72ta/tXObFF19k/PjxjBgx\nghEjRtDX18fw8DAAJ5xwws7ljj/++DpfMREp5OV/yXxGmeWvBK6Mr0ci0k06LrFasmQJmzdvZuHC\nhdxxxx3cfffdwK41WEceeSRXX30148ePB9iZoBQrfE7hdXfn0EMP5eijj97Z/tDQEADz5s1j2bJl\nbNq0iVNPPbXs8wtdccUVPPTQQ7g7hx12GACTJk1i4cKFfOQjH8HdGTNmDOvWrWPr1q1s3bqVbdu2\n0dPTA7BLbVXhdREREUmWjkqszIyJEyeybt06PvjBDzJx4sSdCc3pp5/OOeecw8UXX8xVV13Fpz/9\nad588016enq45ZZb6O/v362t/HNLXX/nO9/J+eefz2mnnUZPTw9HHXUU1157Laeccgonn3wy06dP\nZ++99y7bz0Lnnnsup5xyClOnTmX06NEAzJ07l4suuohrr712Z43VnDlzmDFjBnvssQdXXHFFTW2L\niLSL6m/ST9s4elY8+hJbIDNvVSwR6Qxmhrsn/r8F7b/isXbtWqZMOYMtW9a2uyuh/Fs1Hdt61KgZ\nzJ//dWbMmNHuriRSo/uvjhqxatRTTz3F7Nmzd7nv1ltvZdy4cW3qkYiIiHSjVCRWRxxxBA8++GC7\nuyEiIiJdTpXSIiJS0uWXX974sXwkEbSNo5eKESsREYmeCprTT9s4ehqxEhEREYmIEisRERGRiCix\nEhGRklR/k37axtFTjZWIiJSk+pv00zaOXtURKzMbMLOVZva0mV1W4vH9zGyBmS0xs8fN7KJYeioi\nIiLS4SomVmbWA8wDBoDJwCwzm1S02KXAYnc/BsgA3zIzjYSJiIhI16k2YjUNWO3uz7j7duB2YGbR\nMr8D9gmv7wO87O5D0XZTRERaTfU36adtHL1qI0sHAs8V3F4PnFi0zI3AA2a2Adgb+Fh03RMRkXZR\n/U36aRtHr9qIVS1novwqsMTdxwHHANeb2d5N90xEREQkYaqNWD0P9Bfc7icYtSp0EnAFgLuvMbPf\nAkcCi4oby2azO69nMhkymUzdHRaRzpXL5cjlcu3uhohI25h7+UGpsAh9FfABYAPwKDDL3VcULPNt\nYLO7X25mY4FfA0e7+ytFbXmlWCKSPmaGu1u7+9Gsbt1/5Wtv4pouWrt2LVOmnMGWLWtjab9++bdq\nOrb1qFEzmD//68yYMaPsMnFv4yRrdP9VccTK3YfM7FLgZ0APcLO7rzCz2eHjNwBXAt8zs6UEU4tf\nKU6qREQkefRlm37axtGrelgEd78XuLfovhsKrr8EfDj6romIiIgki05pIyIiIhIRJVYiIlKSjnGU\nftrG0atYvB5poC4t/hTpZipeT4+JE6ewZcv2SNscGtrG5s07ePNNFa/HoZbidSkvluJ1ERERgNWr\nVzA8/CgwIuKW+yJuT6S9lFiJiEiNJhN9YiWSLqqxEhGRklR/k37axtFTjZWIxEY1VunR2zuC4eEt\npHvESjVW8pZG918asRIRERGJiBIrERERkYgosRIRkZJUf5N+2sbRU42ViMRGNVbpoRqr5FGNVXNU\nYyUiIiLSZkqsRERERCKixEpEREpS/U36aRtHTzVWIhIb1Vilh2qskkc1Vs1RjZWIiIhIm1VNrMxs\nwMxWmtnTZnZZmWUyZrbYzB43s1zkvRQRERFJgIonYTazHmAecAbwPPCYmc139xUFy+wLXA+c6e7r\nzWy/ODssIiKtka+9GRwcbHNPJC7axtGrmFgB04DV7v4MgJndDswEVhQs83HgDndfD+DuL8XQTxER\naTF92aaftnH0qk0FHgg8V3B7fXhfocOB0Wb2oJktMrNPRNlBERERkaSoNmJVy08j+oCpwAeAkcDD\nZvYrd3+62c6JiIiIJEm1xOp5oL/gdj/BqFWh54CX3P0N4A0z+19gCrBbYpXNZndez2QyZDKZ+nss\nIh0rl8uRy+Xa3Q2JiOpv0k/bOHoVj2NlZr3AKoLRqA3Ao8CsouL1iQQF7mcCbwMeAc5z9yeL2ur6\n48CIdBsdxyo9dByr5NFxrJrT6P6r4oiVuw+Z2aXAz4Ae4GZ3X2Fms8PHb3D3lWa2AFgG7ABuLE6q\nRERERLpBtalA3P1e4N6i+24oun01cHW0XRMRERFJFh15XUREStJ55NJP2zh6OlegiMRGNVbpoRqr\n5FGNVXN0rkARERGRNlNiJSIiIhIRJVYiIlKS6m/ST9s4eqqxEpHYqMYqPVRjlTyqsWqOaqxERERE\n2kyJlYiIiEhElFiJiEhJqr9JP23j6KnGSkRioxqr9FCNVfKoxqo5qrESERERaTMlViIiIiIRUWIl\nIiIlqf4m/bSNo6caKxGJTafVWJnZM8CrwDCw3d2nmdlo4D+Ag4FngI+5+x+Kntf1+y/VWCWPaqya\noxorEZHqHMi4+7HuPi28bw7wc3c/Avif8LaISEOUWIlItyn+D/Rs4Pvh9e8D57S2OyKSJkqsRKSb\nOHC/mS0ys0+F9411943h9Y3A2PZ0rfOo/ib9tI2j11ttATMbAK4BeoCb3P2qMsudADxMUJ9wZ6S9\nFBGJxsnu/jszGwP83MxWFj7o7m5m6SiwicDg4GC7uyAx0zaOXsXEysx6gHnAGcDzwGNmNt/dV5RY\n7ipgAbsPs4uIdAR3/13490Uz+wkwDdhoZu9y9xfM7ABgU6nnZrPZndczmQyZTCb+DotIy+RyOXK5\nXNPtVPxVoJm9Dxh094Hw9hwAd/9m0XKfA7YBJwB3u/sdJdrq+l/ViHSbTvpVoJmNBHrc/Y9m9g7g\nPuBygn8cX3b3q8J93L7uPqfouV2//9KvApNHvwpsTqP7r2pTgQcCzxXcXg+cWBT4QGAm8H6CxCod\n70gRSZuxwE/MDIJ9363ufp+ZLQL+08w+SXi4hfZ1sbPka280XZRe2sbRq5ZY1ZIkXQPMCWsTjApT\ngRpKF0m3qIbS4+DuvwWOKXH/KwSjVlJEX7bpp20cvWpTgdOBbMFU4FxgR2EBu5mt5a1kaj/gdeBT\n7j6/qK2uH0oX6TadNBXYDO2/NBWYRJoKbE5cU4GLgMPNbAKwATgPmFW4gLsfWtCJ7wF3FSdVIiIi\nIt2gYmLl7kNmdinwM4LDLdzs7ivMbHb4+A0t6KOIiLSB6m/ST9s4ejpXoIjERlOB6aGpwOTRVGBz\ndK5AERERkTZTYiUiIiISESVWIiJSks4jl37axtFTjZWIxEY1VumhGqvkUY1Vc1RjJSIiItJmSqxE\nREREIqLESkRESlL9TfppG0dPNVYiEhvVWKWHaqySRzVWzVGNlYiIiEibKbESERERiYimAkUkNpoK\nTLbC88hpKjB59txzBmbL6e0tv82++MW/BuBb3/pOze329sKqVY8zZsyYpvvYyRrdfymxEpHYh2J5\nzwAAD9lJREFUKLFKDyVWSfQKsD3yVvfc8z2sW/ck+++/f+Rtd5JG91+9cXRGRERE2m10TO2qiqgS\nvToiIiIiEVFiJSIiJekYR+mXzV5ONqttHCXVWIlIbFRjlR6qsZK8Pffcn3XrHleNVRk1jViZ2YCZ\nrTSzp83sshKP/7mZLTWzZWb2CzM7ut6OiIiIiCRd1cTKzHqAecAAMBmYZWaTihZbC8xw96OBfwC+\nG3VHRURERDpdLSNW04DV7v6Mu28HbgdmFi7g7g+7++bw5iPAQdF2U0REWk01VumnGqvoVa2xMrOP\nAme6+6fC2xcAJ7r7Z8os/yXgCHf/y6L7u75GQaTbqMYqPVRjJXmqsaqsluNY1fwOM7PTgUuAk+vt\niIiIiEjS1ZJYPQ/0F9zuB9YXLxQWrN8IDLj770s1lM1md17PZDJkMpk6uioinS6Xy5HL5drdDRGR\ntqllKrAXWAV8ANgAPArMcvcVBcuMBx4ALnD3X5Vpp+uH0kW6jaYCk03nCky/fH1VNjtY83M0FVjl\nebXsLMzsQ8A1QA9ws7t/w8xmA7j7DWZ2E/AR4NnwKdvdfVpRG125YxLpZkqs0kOJleQpsaryPB0g\nVETiosQqPZRYSZ4Sq8p0ShsRERGRiCixEhGRknQcq/TTcayip6lAEYmNpgLTQ1OBkqepwMo0YiUi\nIiISESVWIiIiIhFRYiUiIiWpxir9VGMVPdVYiUhsVGPVet/97nfZtGlT5O3+/d8P4v4GqrES1VhV\nVsspbUREJCGuvHIezz57IjA20nbd56JJDpHqUp9YZbPZXc5RKCKSZu7g/hng6HZ3RaQrpf7fD9UH\niIg0RvU36adtHL3U11iFc6QtjysiqrFqh4MPPppnn/13NGLVCNVY1UI1VpWlfsRKREREpFWUWHUo\n1YWJiIgkjxKrDqXasORQEixppfqb9NM2jl7H1FjF9eu9pNZYJbXf3UjbqjzVWLWeaqyaoRqrWqjG\nqrKOGbHSCE1ytWrERiNDIiLS6aomVmY2YGYrzexpM7uszDLXhY8vNbNjaw0e5xdlK76EC2O0+ku/\nk5KMViXFSr531UnvARERCVScCjSzHmAVcAbwPPAYMMvdVxQscxZwqbufZWYnAte6+/QSbe02lF44\nhVLvdEq1qcN8e3FO0zTT/3rabuTxqOVf71Kve5x9KYxXKU5UU8mNtJP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"text": [
"<matplotlib.figure.Figure at 0x10b6c5dd0>"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": 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ghrnAMhG1ATAYwAOxXc6v2m++iZ1gnLFypb286QrM5EvdHFSCrB6q3Uy6AYFE\nYaW3X1npHTvrLO+zsqC4WqxcgtddLVarVnl/y8ri27Y2AS+rd3UQlvzUJGqMnrrfrsJK7bv/fu+v\nS/C6Kazat7f3RT9v+3Zg//39jweJt3QsVg0a+N/DESOC6xAEQajtuFisKpm5K4C2AI4johKjyDgA\n1zMzw3MDOrsC16xRbSTuP/BAYO1aW1+8vy6uwCBsMVabNweXsR3zy0+0bBnQqpV7fxT6YGe7NiVU\n/FyBQRarTOWxeuEF7+///geMGmUvY7ous4Etj5XZvg4z0KlTfFv/a5Yz2bnT7k7Vy7vm9fJr2xT2\nLrPzwmLEgvJY2SxWUYSV34+bxx4LrkOIjsS1CPmCPItuOOexYuYfiegVAEcBmKkdOhLA0+S9dVsA\nOI2Iypj5RbOO0tLSWF0AUILJk0tQUmIfzC67DDjxROCaa/Q+eH+jugJdyqnEoGZbQejZy6dM8fp7\n8cXeUiTr14efb2LmsVL4WR5MYbVtm3dMz7fkGrweJIJWrwaaNAGaNYu2LmF1ZeN2cQUqC5s+m9FV\n+O3c6aUxsJW3iUjz2bEdC7NY6egi0m/bhtlf3b1ss1j5uQIffRS48ML4fa1XD5g3z9tOjm2cidLS\nmcEdEyIhcS1CviDPohuBwoqIWgAoZ+bNRLQbgJMBJMhVZu6glX8EwEs2UQXEhVVlpZezRwkJm4h5\n+WUvv44urDLlCrRZrPT8P3pbQeeby8LceacnrFLtl7ofTz8N7LGHf1/8YqwuusgTiGp9NyJvar3N\nYvXdd4mfg/rcvr2XqHLatOCAdZV3K1VhNX8+cMAB0c4ZPhw488zEfbbvzpYEM0qMle7+spVP12Ll\nsuzNypXAH/6QvF//8RAkyHUrWJQYqxEjgH794sKsshL41a+S2/MoQWlpSdUn+XUrCEJdI8z+sA+A\nt2MxVvPhiaa3iGg0EY1OtVH1wjctLibNmiV+DnIF+uEavB7FNeYXY9Wokbd+mim4XFFWhPPOc3Pp\n2O7f0qWJZb/80m6x6tUr8XOY9Ua5If2E1dat8UzxNrFRWQm8805wG716xTOPuzJjRrCFSKEHoKfi\nCmzYMHVXoM1iFRa8buOJJ7wZeUF99WsXSJxoEcVipepSwswWTyYIgiB4hKVbWAKgu2X/BJ/yTqGr\nrpYnvxQKLkvaRE234Hd+EKaA2n134IILgJEjw8+1oQ92ZvC6jhIJq1Z5S500aRI/ZgqfzZuBffZx\nT0EQ1jcgQfjVAAAgAElEQVSXnEr696TKv/sucPzx4e2YYtoPfY0+s86KCs8d26aNd+1A4np46l4M\nH+59X2GzF5Ur0BaMbxNKQc9SOq5A895HFVapWqwALx5yyRJvW3/uRVhlH2X1EzeMkGvkWXQjJ2sF\nulqs/OKAbBarU07xb88czGyuwCjCys9K0aiR91dfry0K+mDnYrG67z7PCvTAA/Dlhx+Atm3dZ8r5\noYSVX4yVPuivWxevU51ns5DYSCX3lU1Y9egBDB3qXf+DD8b7rQuxWbO8tRZ1YeVnsdptN3eLVaZj\nrPyIGryuCyv9+zjxROCtt4KfkX/9K779978ntjdpklt/hdSQQUzIF+RZdCMnS9q4CqsoFqsgwmbN\n2Y65BjbrgkIJqgYN3M418RNWZt+UsNqyJfm4adXYutV/RptOJi1WtvQErvfEtmxMEMz+Anz9euDV\nVz1rmc0VCLhdz65d/sHrLsIqXyxWc+Yk19m5M9C0qbcd9Izobu8334xvv/02cMklwf0QBEGoS+Sd\nsHJx70WNsTLL2yxWqcRYAcBxxyXvT3UJkqgWK+WaChMKRUXhyR/1NpYvB/74x8TjUYSVQh+oXYVV\nKoLWZrEC4gKPKNEVGFVY+c0KXLEinjKktBT4+Wf7+UHC6qWXvD4ExeUFTRgI2udyL4uKkv8/2vDL\n2XbGGeFtCIIg1CVyKqzCYqUyJaxcpten4goEEsWQCg52nQ23axew337e9qefAp99Zm9jxozk84Dk\n3Ft+1KsXLqz09iZOBMaOTTweJqxs90u/D+r8MJdXKrmv/KyNmRZW5vfaubPnbgS8GZEffxzcH9u+\nDz/0/vqJMp10LVa2a61Xz20WZ6aT4QruSO4gIV+QZ9GNao2xuvJKLy4oyGLlEqvi4grU3Sc2i1V5\nuX/eKL0twFs895BDvBQRfu0A0YXV1q1eok3AG6T9rv377xPPUyJBrSeYaYuVrWxYjFXjxsF1qu0d\nOxLzbJm4ztQLOq7uoxIrRP6uQJe2/FyBlZXx1QNUueuvTxYhQRYrVacurG64IfF8FzFrixPcYCww\nVVQU75uqs6jIbWajCKvcIXEtQr4gz6Ib1WqxUkt8BAkrl9lVrmvkmefp5YqKgPff97bDgtenTvXy\natmO6YOeGhxdhZVakNd2TtCsQNNtFCaslMXqf/8DFi/2MsOb6O3b+q9EaKquQNVHPUmlTtDgbvt+\ng2YFqu/Kz2IV1SoWlCBUb7usDLj99uT1++bP9xLeqvb180wRCAC33Wbvh3nvw67j6KMTP+s/JFRd\nusUqSHxHSSFi5kgTBEGoS+RdjJU+WLz2WjzWp3dv4D//SSwT5OKz1Wn+1V1vfjFW6pd6ixbBdQOJ\ng7cLxx7rf+yhh+Lb5qAWZBGxUVTk9W3gQKBrV886ZtKxo/d3yhS7uy7dGCvVR9OKYh63Cauw+/n+\n+4mz3EzxFsUVGDQr0Gbt0j+r78V0Fa9aFV+Q2c9i5RJjZfb1kUeSy9riBxU2S6Ge4yxIWKlM6y4s\nWuReVhAEobaRdzFW5iCqYn3mzo2/3M3zggZe3RqlzlPl9aSXfgOmcsP5tWFzoUW1iNgGc33mVRRh\nFWSxcrGknX9+ontLoVyALkvaKCorPWuN3sfp0/3LAvbBPUw4jhuXeG1qdqbuvtRFj+tsUsXOnfHg\n+6jCykwzoT+zS5fGny+XGCuzHlsWdrN/+g8CP4uViyswCl98kZl6UoWI2hHRDCL6hIiWEtHVsf17\nEtEbRPQZEb1ORE21c24gopVEtIKI+ueu98lIXIuQL8iz6EZojBURNQAwC0AxgPoAXmDmG4wyQwFc\nB28B5p8AXMbMH/vVqV7kNiES9HJXg3oUYaWX8xNWehmFKmOLmwqzWEUdoFq3Dj5uCikXi5Xp9iwv\nd7c26Rm6FelarEwxvWoVcMwx3sy65s39hVVFRbhF0g+9z34WK5d6d+0Ciovj1h1dXOp9U+JIvwZT\niOoWq8MPTz43iKCZkH7o1kebxco1eN2VvfcGrrjCW1/yjjvSry9FygBcy8yLiGh3AB8S0RsARgB4\ng5nvIKI/ALgewPVEdCiAcwEcCqANgDeJ6EBmTmEqReaRuBYhX5Bn0Y1Q+wMz/wygHzN3BdAFQD8i\nMp1YXwA4jpm7APgbgIcQgKsrMKmzBYllXC1W5sCh/r7ySrwcc6J1gdlb+2/u3MRzzP7q+6O6AhVh\nMSmmxcp01dksVvo+ZbFyFUVbtybvCxJWfoO8LV5OicJOnTxrjUrtoESGKazeeSd4Vl2QqFTPy5Ah\ncREdJqxs7NzpJRItKEgWH3pd6r7pwtcvMarN8uVXNso9N/frM0dt9bu6Al1RPxIeeyz9ulKFmb9j\n5kWx7a0AlsMTTIMAqJ49BkCtMjkYwBRmLmPm1QBWATAi1ARBENxwcuwws8rZXB9AIYBNxvG5zKzs\nP/MBtA2qL11hlSlX4LffJrZrCqvf/z6e1dzv17zNFZgpl4rCtGa4uAL1frlarFQ9NouVuvfpxliZ\nInHLFi8Duop3M+/dzp3BwsqG7blSAeWpxlgVF3v3wC8ZKRAXVvo1mharIEFYVBScxTwVi9UFF8S3\nbcJKdwW6pu8IYvfdvb9RxWu2IKL9AXSD915qxcyxdQGwDkCr2HZrAGu109bCE2KCIAiRcRJWRFQQ\nW4h5HYAZzGyZV1bFxQBeDaovVWGl8gRFsVjpx02LlR4UbLNY2c4J6m+qFqswzGBsF1dgKsJKXaPN\nYqXOtcVY+Q2itntm9t1cf8/VFeiSGkAvo+LGzFmBUYSVbTHrqBaroJmshYXAggXJ+219TUW46N+d\nqst2Temg4tsy/X8gFWJuwGcBjGHmn/RjzMwAgu5inkhDiWsR8gd5Ft1wymMVizXoSkRNAEwnohJm\nnmmWI6J+AEYC6ONXlz6w2YLXXaw9qsyOHW7ByH4iSXepmcLK7KNfGoigGKvFi738V/XrB/cvjCjC\nKh1XoOq3WipHt/b5zUwz2+rZE9hjDy/43hZjZVqs5s0LzqFVXm7/foOWQ9JzVinUbMRUXIG7dsVd\ngeXl3tqLU6cmt68sfS7CyiY8/ESO7Z77CZegawtzBaZK+/bAl19626muk5lpiKgInqh6nJmfj+1e\nR0R7M/N3RLQPgPWx/V8DaKed3ja2L4HS0tKq7ZKSEpSUlGSh58lIXIuQL9T2Z3HmzJmYOXNm2vVE\nShDKzD8S0SsAjgKQ0DoRdQEwEcCpzPyDvYZSdOoEDBgAACUoLy+J1Rsv4fKSVwN2v37AXXcBI0f6\nl7XFWCkBpP5GtVjpBLkCu3b1ptmPHp1cb5TBXV88F0jNYrV6tZcyIAhTWOkECSuzXXUfg2KsFO+/\nn9h/V4tVkLCyTSJQ9zCKsFq6FLj8cs+9deihXpqKefOAr79OzlUFAD/9lNyuKWZsMwcVYWs6pmux\n8hNW6brtWrWKC6stW2YCmIlt27xlfnIBERGASQCWMfM47dCLAC4CcHvs7/Pa/qeI6G54LsBOAN43\n6y3N1QUJglAtmD+YUrXOhboCiaiFmpZMRLsBOBnAQqPMvgCeAzCMmVf511aKtWtLcfXVpfCElbc3\nTFgFxbX8+GPwrDFbjJWfsLJlYrfFTUUJXo9isXBl167EGV5hMVb16gGbNnmCIIigjPaursCKimBh\nZVqsvvsu8R7aLFbmvdpzz+DUFma+MiBuTTItnJWVXp82bkxOE7B8OTB7tpdQtbgY6NDBK+eHKYCB\n5Ptly5avKCy0CyvX4HWb9VY/1zab0RY3FhX9Ge/QoQRAKRo2LM2lEOkDYBi8iTYLY/9OBXAbgJOJ\n6DMAJ8Q+Ixba8F8AywBMA3B5zFUoCIIQGZcYq30AvB2LsZoP4CVmfouIRhORssX8BUAzAA/EXmJJ\nv/YUygKx++7AypVe7EuYsLJZMcz6/LBZrJTVQHcFmsHrKkdQRUXybLAo6RZUMK95btBru3nzxM9m\nIlHmRPeiXtf69cn7gpaQ0bEN6r/4ReLnsEFeT0fgEmP17bfBwsr2/RYWxsup623UKPm+qQWSgbiw\nMi1W06Z57quzz/aSpNq+223bPGEVtubi6tXJ+1xnBaqyQa7AMItVmECyWWTDhNWIEfb9v/lNfFv/\nQdKokX//qgtmfpeZC5i5KzN3i/17jZk3MfNJzHwgM/dn5s3aOWOZ+QBmPpiZfbKt5QaJaxHyBXkW\n3Qh1BTLzEgDdLfsnaNuXALjEpUEVY9W6tfd39mxv0V+FbXA3BzN91tr69clr6QGJrhr1kh840Ptr\nWqxUGX3gee65eH+CXDRhCUL32MNbYmXgQK+NoFlhinPPBf71r/hnm5XIz2K1enViO0DiwBeE7RrV\nfXCNsdIFqi3Gavv25LxlejnTxWaLsdKFlaJDB6+vnTrF9+mzKVVguc0VWFmZHESv93nbNk/I6sLK\n9v3pSV0VfqI2yGJlih1zsgUA9O3rVqeO/hzpwiroPL9nRxf2+v+bfImxqk3U9rgWoeYgz6Ib1Z55\nXQ36BQXeS3v6dOCtt+LHbb+ebUusKCZOBE4+OXm/7pZRA8eKFYn16YOzXx6h8nJvcHSxWNkSLRYW\nxtv96CNPNJl1mJiDkz4gdujg/fUTVkByigLXbOlhEweY/V1LCt1iZd5fwBM/urVDT94JJOYWU3XY\nLFZmXwsKgq9Tt1i5pGoAEidJKItV0LMIeLnPdFq2tJez9UEJeFOM2VyMH33kVqeObXJGmMXKRVjp\nZfwy1AuCINQVcrakjRoITdeQ7SX/ySfB9a1d639MdwUqXGKsFDaLVdgsRlNsqXpffDFuOdHFpIkZ\nZK4LBnXMzxUIeG3ofXC1IgQJq0ce8bJq26bs+8VYmcKquNjbDsskb/YpyBWoMIWVKU78XIEKlY5B\nFzF6u6aw8hMObYzsR3vtZS8XZLEy+96mjffshBElxkqPQUxFWOl91AWb2hZhJQhCXSXnwsoMZra9\n5Pv4Jm9ww3zJl5UlW6fMGCuFGuhcXIH6OYrycs8VCMR/zQPA6af791eJpxNOAP7738R+uQorfV/r\n1smWFBthFqv16+0DtZ8r0AxeP+ooYPz4xOshChZWNouVzXJUWJiesFLZ73UBGCSs/MSIaTXzm5Ef\nJKz073bCBO/z4MHBPyBUn1zTLegWq6Bz/FyZfq5Av5gyIXUkrkXIF+RZdCNSuoVMobuLTGGV6azl\nfhYr3QplS7egKC8PtliFCatly+LWqWnT3PqsxFOHDl5QtZ6N2yaszKSSW7fGg4gB7/psloeiokSB\nEvXe21xvusVKp7LS64fpegoTVn4Wq9tuS9yn6lbUr59ofdq+3RNHLukWbEkuVYyVLUeW2Q/FyJFe\nyg0btpguVa8uZvQfH2EuXZcYqzlzgEGD3IPXzefm738H/vSncGElFqvMIXEtQr4gz6IbObFYPfNM\nPEi3OoSVzWJl/hJn9hcKRUX+g09YegjdZfXOO259Ni0mNleg3v/nn0cCpisQSA46b9sWuPLKxH0u\n9z4sGamfsFLxWeZAvnMnsG5dcnmFX/D6ypXJZfVrNL/fsjJPDLgklLUJK1dXoP5dNWrkL4YusUz1\nYI67nvX6Jk/2tl1yiIVZrA48MDHOLKqwUq7NMFegIAhCXSUnwuqWW7y4KZuwuu66zLdnDhw2C4mf\nxUrFSG3YEF9SRw1eXbuGW6xSEYrduyf2Wx+cVfqGoBQK5sw7ouR+lJcnD/oui/DqA7fNOuHnUvUT\nVoAXu+VHRYVn9dOxBXOb2O5POhYrJayiWKwaNYq2tuKqVcCMGckWK1dcLFbq/rvOCjS/SyW0dIuV\n3kexWAmCUNfJibCqatwSvG5zl02aBJhuXT1eKQybxcq0mvjNFlMWhF27gCOOSKyvVSu7cEpHWP39\n796yMECwsApaJscmHmzCSg2CTZp420EuOYVeb9isQPM8fWDXOeww//bKy4HTTkvc169feD9twqp+\n/fBZgUDcKqjfM1NYuVisdt89mjAC4qkdbPWFiZWw44WF3v+bzZvjM1XDLFZm/9Uzo99fXTyKxSrz\nSFyLkC/Is+hGTmKsFDaLlY169ZJ/+btmi/aLsdIHoTlzvAB521R6lW7Br182N1ZQwkuX/ipUv/V9\nLhYrUzwQ2RNvqkFTxWC5fBdhrkA/YeUXYwUEL7VjE6ZXXQU89lhwP9OxWCmrjC3GSg+Ct+FisWrb\nNjgQ3c9iFfbMv/BCcJnCwvi9nj073t8oz6gSTrr4C5vQIKSHxLUI+YI8i24ECisiagBgFoBiAPUB\nvMDMN1jKjQdwGoDtAIYz80KzjI10hJVtwC0uTq7Pthba//6XPAAxxweYo47yBr/nn0+OeVFlVb9s\ng5ItuaMfnTsnppPQr1Odqw+ue+zh/VWDr60PZoJQWz9MV2BhYXRhpc7Xs8tHjbECgq2PtvurB+bb\n+gXYLXrFxd46lUExXXpdej8bNXJzBbpYrMLWbNSFlX4dYcLqwguT94XlHSsoSHa1msd1bK5AvQ2b\nKBUEQahLBDoqmPlnAP2YuSuALvDW3kpYYIWITgdwADN3AjAKwAPOjTsKK3MqPWAXLK1aJe9r0CBZ\nDCxZYl/IWA3iV14ZFzC2vEK6sLIxd258O0rSRsBusdKvfZ99gPvvB7p08T6rbPI6plXGJcZq+3a3\ntBYursCowipIaPzlL8n7XPJy+bkCw0QVYBdWzZtHD15v3dpusdIzwtvQ+77PPvHtdCd2qO/l2mvj\n+8JclWb/xRUoCIIQTGgECDOrUOH6AAoBbDKKDALwWKzsfABNicgiceKogdEWY2XDZrGyYSuz226J\nA+SBB3qWC9uyJmrQ1NMrhLkCwwgbDIMGItVvvUz9+sDllwONG3ufbX2zxREFxViF3Vt9Db6hQ4ED\nDvC2o6RbCIqxCrPgnHlm4mc/i1XY+oiq3f/8J7g9Vc6WPytK8HqvXonuVoX6MaFi6QCgf3973w89\nNL49a1Zwv8NQfdl33+R9fpjPRpjFSlyBmUfiWoR8QZ5FN0KlAREVAPgIQEcAD8RWgtdpA0Bb7hZr\nAbQF4GsbaNTIs5Ck4wq09zV5nznrqaDAf+DXhZW+JlyQKzCMsPgVc2ALs1ipQVfts/XBFmNlCquK\niuD1/3RU+gezz7bz/CxWeoyV2ZewiQjduiWmlLAJKyDRJWkTVip31DnneFY/v/QXNosVEC1B6KJF\nwJ57xu9R/frxZ13NauzUCZg/39vWLVN635s395KMzpwJLF9ub9MVm7UpVWElFqvqQ+JahHxBnkU3\nXCxWlTFXYFsAxxFRiaWYOcQG/l5VA2MUYRU0ACiLx+rVycfMeCO/NeUqKuKDprlkihmvE0VYqToH\nD7YfT1dYuVisiID99ksu4zpjzRws1XmpugLNSQKmcDMx779f+aZN4xYl231Zo8n/IDG5ZIk3O1MJ\nwMMP9/66zApU9Zr3SO/zhRcCF12UvKakImjGZ1Rs1iQzT5br+UB48LqkWxAEoa7jPBmcmX8E8AqA\no4xDXwNop31uG9tnoRRAKbZuLQUwM1KMVdBAGORKMuON/CxWFRXATz9522am9aIiL27KXAfORViF\nDcRRY6xMYWXDlgTTlpAyW8LKL92CElampcjP1dqyJfDuu8lCI+hZUG37WU6USAqz0k2a5F3Lb34D\nfPCBty+Kxcq06unC6v77gUcfTRTven/N+xElF1YQ6j76WZtsuAgrnRUrZgIoRVlZKUpLS1PopSAI\nQs0mcGglohZE1DS2vRuAkwGYM/5eBHBhrEwvAJuZ2eoGfOihUgCluPTSUnTvXoKCAmDHjvBOhrkC\ng4KZmRPdSEEWK709fdArKPBmCep1qnJhRAl2BsJnBao2gywDNouV7f65um2iCCs9jYOOHmO1fn3i\nMb/vtlUrL6DeJrxatkyuP6xv+nlhgkLlNisujouIKDFWZj9sQsRPWAU9V7//fXC/g2jaNLl+8z7N\nmJH4OaorsEuXEgClqFevFL/5TWnqnRWqkLgWIV+QZ9GNMGmwD4DHYnFWBQAeZ+a3iGg0ADDzBGZ+\nlYhOJ6JVALYBGOFXmQrWPekkYOxY769TJ0NcgUpYXXAB8PjjiceYEwPkCwrsg6oSMW3bJrsClTBR\ng2kUYbVwYeI5JqZbzGax0mOQTIuVi7DyIyhWSicTrkA9xgrw4otsy9KY5wBerJKJX59NYWOixIWr\nsDJFratQNu/t1xYbbiquQNX/VFDnBsVYhVkHXTOv79yZLH6F1JC4FiFfkGfRjbB0C0uYuTszd2Xm\nLsz8j9j+Ccw8QSt3JTMfwMxHMPNHvo0Zg41rHEaYK1AJq8mTgffeM68h0SoWJKxmzACWLk12BSpL\ni9nfoCSdiqVL4/0YYZGcJ5+c+NlmsbrhBuBf/0psM0xY2RJ5mrgKK1NABp3nkscKSHTfhrV/3nnJ\n9ykMvzrDhJXq+6ZNdmGVqsXKhp/F6rPP7HUG9dsFF4uVObEgLN1Cq1bxFQnM+kaPTr2vgiAINRXn\nGKtMYA46rsIqzBWoD9K9eyceq6xMXFsuSFg1beot71KvHvDFF4n91tMERLFY6fz738n7zjvP+zty\nZLwtve8A0L59PF9VmLAaNMjdYuUaaGz2O2g2YSrCyuSXv0zsV0GBty6jrQ9R2Guv+PI4fufrlhjT\nrRllSRsX0eonrNSalDZGjfI/FkaTJt5fvwWU99svXFiZFqsLLpAZgoIgCDrVKqzMQSeKsHKZFWiD\nOb4MiWrbNtiVl8f3d+yYKKxUfFBlpbf/1FPj/XIlLHhdzdrT+2azOpnCykznUK9e8kzIVN1mgOe+\n1fMt2erTY9yCZgXqEweCLFZnnx0/R2F+xy5B12Zy0XXr4qJNP3/IkPi2Lqx27UoWVnPmeNuuwetB\nmHF8fuh91XOKRUUF0Ptldn///WRhZbZnS9mgY8vCLqSHxLUI+YI8i25U66svzBV46aXAxInJ56Ub\nvO4irPS8Tvvu62XN/uYb7/Pbb8eF1SYtPWqUX+RhwkoNQjZXoOo3kCyszFmVRUXe4P/55/F96boC\n/VDnmffBJcbKFErq/i5fnug+VZi5rsw+m/d3+vRE9+Hee/uff8QRwHPPedumsNJzY+lCwdUVGGQ5\nHDPGy6A/blxif7p29fJgmfgtVk0Unv5B75N+HWbaBFNYDR/ulb/oIu+z61qBelkhPSSuRcgX5Fl0\nI68sVn6/gtNNtxBVWAFxtwngiRc18Js5sdJFDT62LOg2q5OyOqi2zeVR6tUD7rsP+POfw9t2EVa2\nAdvPPWTWa9ajCytdKOmzFg8+2C68w5KI2rj88vj9Ou64xGN+YiDMYqVwdQUGZd4fNAi4557k/tx9\nt72vrVvb63G1/Npyn5luPLO/BQWJOdBMVyBRPBO/3le9rCAIQl0ir4RVs2b28/be221WoA3mRPER\nJKz0NnRhpawt6QirVCxWtraUwPCzWNmsBGGB2n7Cwq/ffgHNQX0IElZA+H31y+2kZyw32W03b/ah\nrU9+wqp9ey93VVFRXFArUrFYua7vp7cTtsRPqrhYrGzXZbsH+vdx6qmeG1HVoRCLlSAIdZG8ElY2\nJkzwgo7VC1sXPIojj/Q/3zXzuh5jBcTX4lN1qFmBUYTVgQcm1mEjyGKlD8pqvymsTItVFLeezWLl\nZ2XQF+41g9ddZg3qeayAZPFgiyfT9/ndv/vus+83z/NLGaHaU67Ali2Bu+7ynrMgi5V6DkpK7PVG\nFVb6vfKzzqXisrXNKNRFkX5NNouVWYdfglDb8ysWq8wgcS1CviDPohs5EVZRBgjTAmBbGmboUPsv\n7T/+0Uu1oOeK8kuWaboCzfXolCuwT5/EfUHox/1mEpoJP11dgeqzed36+b16Je+z9U8/7ueO1d1T\n6lrCYqz0/UExVmb/bPFJ+pR+/Ry/eD3T+hlmsVKzSZX18/vvgcce8xdWZWXeMfP7jBJj5Ye6N2am\n/3RSLeh9Us/22LHA+ecn1q8Lq7FjE88DvPt41FHx58T8HsRilXluuukmiW0R8gJ5Ft3IC4uV+VJu\n1iweOG4O/jYx06CBfdA5/njgrbdSi7Ey29HTLfiVMbG1YyZ4tIkQhbkUDxC3Zqi6n3km8Rw9c3ZY\nni0XYWWzFJn7/ISVKSyDXIG2fqmBHfBipO68M/45SGTMng1s3Giv03Z+QUHcQmm6lf2E1a5d3r0K\nS57qarHS76kSz08/7XauK6pPe+zh/f3lLxOv188VaN6rBQuS779NWInFShCEukiosCKidkQ0g4g+\nIaKlRHS1pUwLInqNiBbFygy3NhbBFaimeQcJq86dPVeYX4xVSYmXXNPsg0uMlYuwcpnyr1DX2qpV\nYhnXWYF+Fqt2+iqNALZujW/b6tSJ4grUUffBzxXoIqyC4ohUvb/4hX2/uW1y7LHJlqxhw4LrUkLP\nFJZ+S83s2mVPA5JqjJVfFna9TvV30iS3Ok1MYWXLsq7349BDE9s1t219lFmBgiDUdVwsVmUArmXm\nzgB6AbiCiA4xylwJYCEzdwVQAuAuIkoaok1hZQ7QChWPox+z/SIuKEhc3NbWnk0g6XWo5VLMGCt1\nni4S0rFYqQF++nRvFpVpqVKDtt6GS/A6AEyZEp8Or7swwyxWtnuaTYuV/n2YswL1v1FyQblywgmJ\nn83vWn22zYpT6MJq5043i1X79m79s4loPxFzwQVudZqYwso2IaBfP+DKK73vS7ndgyy5fpYrQCxW\nmULiWoR8QZ5FN0Jffcz8HYDvYttbiWg5gNYAlmvFvgXQJbbdGMBGZjZSV4bHxcTbtMccmYT9InYR\nVi1bermKvv7aPoCo5W1sbpJUBv42bbw18q6/Hrj99vg1qMziP/4YL2uzdigrg37tv/qVJwwfe8wu\nrMKsDKlarBQuawm6xFgFiWjAHuDu8izZ0OvWM/O7CiubK/C115KvvUOHuLUuCFvOMj/BmaolSJ2v\nfozY3H4tWwL//Gd4HSYSY5U9JKZFyBfkWXQjkjQgov0BdAMw3zg0EUBnIvoGwGIAY6yNhcRYKdQg\nrPrf+xoAACAASURBVKPK6gNl2ItbH8j9YrRUGb8YK936Yg7S6aRbMAWSEkT6AKsPfCoA329wtU2l\nDxNWCv34Mcd4+ZVc8HMFqmuL6gpMNzg7Cvr3sX699/eXvwT69/fvk80VqH8Pp5wSHAsYRJCwMvuS\n6n3S+3T55d5sW1v9QWRapAuCINQ2nF99RLQ7gKkAxjDzVuPwjQAWMXMJEXUE8AYRHcHMP+mF7ryz\nFADwwAPA2WeXgLkkVjcS/uqDnhIXauCJIqyA+GCyebM3hd60WOmDvS3GSg0OmXIFKpTVwIyD0pc5\n0c/Zc0/g3nvjn/3icPQ+uiwSDSRex5FHApddFo9bS8UVaCYxVefo98PVReaHqkultHBNkmlD3TNz\nIgDguW4vu8zbtrkCbRZR/a+iuDg555itD0C45Y4IeOEF+wzZIPR67r8/+Ljf/jBX4KJFMwHMBAC8\n8kq0/gmCINQGnH5XE1ERgGcBPMHMz1uK9AbwDAAw8+cAvgRwkFno+utLAZTiqqtKUVJS4muxsuUv\nsrnFgoSVadnRY5P09ho0sFsITGFlG3RswmrffRM/n3WW9zfMYmULdjatGFdr0wb8LFZ6O6lYrMws\n9zbBYgpM0zKhhJXeRxVjpYTjqacCW7Ykth/FyqPOUQHWfrgIrqAyN94Y37a5AsOC1xVBSWyB+He9\nbFm4xcqVli29ZKdh50+f7l5/mCvwyCNLAJQCKMWQIaVO/RSCkbgWIV+QZ9GNUIsVERGASQCWMfM4\nn2IrAJwE4D0iagVPVH1hFnIdMPSBTiXAVAOyLQWBjbfeSqxbtySo7eef99whw4cn98PmWjOtVrb2\nzUH6uee8ev0sVmYdfq5AE7/8SalYrMzrDhM4piA2+2ILsB8+3Is3UvcaiAdRm/1Ix/qUCkH3+RBt\nmkaYKxDwt1j96leepdYP9b3rwjZd1+hvf5soPP3qC8t3phPFFSgxVplB4lqEfEGeRTdcbAR9AAwD\n0I+IFsb+nUZEo4lodKzMWABHEdFiAG8CuI6ZN5kV+cVYmQOp/vmnmDPRJqyivLj1ttXLf/BgL6bI\nJvjUtt6GOVgqd1aPHvF9foO0ud9Mm6CuS3cFBg34qVisHn7YS0WgsFkMTYtekCvQzzpjikaV6PKL\nLxKTtZpEERKuZV2C2oPus56SQBeCfrMC/e7Jv/4FXHihfzuqD0HCNqrQcrV4+f3gCSrr0qbEWAmC\nUBdxmRX4LkIEGDN/D2BgWF1+wsocbPWBTs2Si+oKNNF/UZsDiM3K4CKsBgzw/nbs6CVNBIAnngDW\nrk2eEl9uzJH0W5PPzxVo4hJjZQ5sF18MvPce8O67ifvN2LKwAdYUKy7B6wrzPgDhMUUupGPlCjpX\n/56aNQOuuQYYNy48QWhYwlcT3WLlkmrEBVfXajrCKqiPYrESBKEuUq2/Kf2EVRCmsFLnHHMMcOaZ\n7m27CCubxcomtvx44on42nEXXJBYfteuxLJm/i0zSF/fZ8NvQLe5AoOCj23HwwZkM+4szBX4kzaF\nwWaxchUMRx8dnz2ZrsUqrMzLL3vC2e9ZUa7A3r29NBeKIBHkKqzMOlJdlNlV2LikNlGIK7D6UTEt\n4oapfnbt2o7HH388q22cdtppaNGiRVbbyBTyLLqRE2FlswbpqAGoYUPg8MO9bdMVOGdOcFvK0mBz\nh0QRVkEWK3P/0KH+/TGFVZcuiZ+VIPKbFWhi3jv1/9LmCrT11Q8XV+Dhh3tuRZWU1M8VqPrYtq0X\nlA0kB/dH6VvfvomZ5TOFTcD6iVp1b3bt8q5z1CgvD5a+SLVeTue66/wXDLe5AlUdyuXsKiYPOgj4\n9NPMuQKjCC5xBWYeGcRyxW6oqBiAyy9/PWstlJW9ilmzDqwxwkqeRTdyarEyFzpWqEFGX+PPlm7B\njyVLvOVu/DAHim+/Td5vs1ilE/tiWmoOOyw4rYS5bWIKq759vXxMRx8d35eKxapnTzdXYM+e8c9+\nrkBVT5Mm8WPduoUn7XT5jtMN7A6LsfK79+r+7dzpJZY1+xLU98MPj/9Q0OnWzcuBNWWK3RV46aWJ\ni2CHsWCBt/ZhWGoERRRXoInfjxTAffKEIOQne2LnzscD06SkS5MmPcMLCTWOahVWpljxE1a2wckW\nvO7HYYf5H2NOjvPZsMH7q9Yn1Pv68svxBX3DLFZBmBYrW7+AeN+OPRY4+GD/8jZrQMuW4a7AQ8zF\niBDv/+DByZY0lzxWfjMU1bUEuTRV+auvThRgYQTNJHXZr2OL+/Lrs+kKtPUlKh995Anv4cMTLYbq\nr3oObO00awb88IO9j35xeCZRhFUUV2CqLkxBEISaTF5ZrIIsFlGEVRjDhnmuEp2zzkoMVDYHNSA9\ni1WYsFKDtLrO2bODy/u5UcPSLVx9tefGW7o0vs/W//XrvVQUqcwKjCqsgMTkpy6kK2b086MIK3Xe\nDz/EraJRs6wHYbNYKfbfP7n8yy977tHGjYFZs7ylkqLmwcpEegcRVtlD4lqEfEGeRTdyGmMVxWIV\nxRUYhu2Z0BcFBuyDTFRhFRS8rrN4cdySFOT+0wmLTwPsFisiLznn0qXJAkk/t2VL/7b9kp3qbQBe\ntvh16+LX1K6dvb50RdKDD3o5smz4PS+6cLLd8zCL1YYN8TQSZob5VNBj+mwiZdOmuOtRb6d37/g+\n5bIIE7w2gvod5Eo269SfSxFWmUEGMSFfkGfRjQz+1g7HHDDOOw848UQvPYFOkMUqXfTBScccBGyD\nkG1fly6eUAkjSFjp7jfX60zVYgV41g2dqMJGtaHOGzAgWYgxe24qwPuehw4FvvwyWjtB6H0ePRo4\n+eRo54fFsg0eDLz4YnC7++yTvC9VdDFkE/DNmoXHLJkW4UzPyvvoo+RnR2Gb7CHCShCEukhO5+30\n75+86K0fqboC9UFv40b/pUVMi5UN24C3eLH3t1+/4HPDXIEKV4uV3yCr3x+/GCDzHgS5slxcgUVF\nwOmnx9MOmAL6d7/zrz9X6ALUtm5hcTEw0JKZTb9XyuKaaYuVS8yT7ZiZNsHVFehKt27h/RFhJQhC\nXSdQWBFROwCTAewFgAE8xMzjLeVKANwDoAjA96xWV06BefOCXYFDhnjupVTYc0//Yy6uwCBatfI/\n9vjjbsINcBdW3boB06Yl73exWLlY54Iwv5+CAi9GbdUqLwFp1HozMRvNDxehc9tt7u0OHQp89hnw\nn/+kN5vORLdYucQ82a7LtFhFcQWminLv6v3/5BMv/kyEVWaQuBYhX5Bn0Y0wi1UZgGuZeRER7Q7g\nQyJ6g5mXqwJE1BTA/QBOYea1RBSakCNosOvpM/u0f39v0D77bO9fpnERG6laI4YNcyt34onxRZvD\nKCiwuyDDZgUCcYvVCSeEt+MyK7CgwHOdDR7stVUda/1lUlhFybd00EHAPff4C6tsxVi5EOYKzLSw\n2rw5eb3HwkLgwAO9bTMJrpAaMogJ+YI8i24EDinM/B2A72LbW4loOYDWAJZrxc4H8Cwzr42V+z4b\nHT3zzGiZ1qMwdqwXB6STCWEVdSB7881o5W2EJQgF4ta1/fbz/qZqsfITAErcjRhhz9uUCVz77DIj\nMSpBlqF0rTR6Atuoz5sp9DJlsWra1L5fT49hugL1LPmCIAh1CefgdSLaH0A3APONQ50A7ElEM4jo\nAyK6wDw337nhBvtUdpOgpKP5wrhx8Wvxs1idempiIHm66QLM85WYGTnSW3w4jGy4qBR+kwEykVrA\nJqz23z95MoYrV1yRXlJNv2Sd99+fep0AcMABwJYtbm0rYTV/vixpIwhC3cTJCRJzA04FMIaZzUVF\nigB0B3AigIYA5hLRPGZeadZTWloKAPjnP4H+/UtQohbWyyKpDqC28955x4uVymYm3nQZNswL0r/m\nGn9hRZQoJImARx6xL7fi4go063eNE/M7P5PnZGo2qY4pqMy+qDQMUbnvvsTP6VpIVfzT5Zd7oi0d\nMWm6/Px4//2ZePTRmak3JCQhcS1CviDPohuhwoqIigA8C+AJZn7eUmQNvID1HQB2ENE7AI4AYBVW\nMW3l05Zbp6uDfOpLVNSA72r9IPKyfrsSliA0G+63VMmGxSosSDxTpCOsfv65emOcVNvHHluCc84p\nqdqvXsRC6sggJuQL8iy6ETgkEBEBmARgGTOP8yn2AoBjiaiQiBoC6AlgWWa7Wf2EDbz5/HzpaRD0\nz2HlbbhYrEwXaXUIq3QtVpkUVv37exahTBMkrGzxS/o12URVNn8s2NItCIIg1EXCLFZ9AAwD8DER\nLYztuxHAvgDAzBOYeQURvQbgYwCVACYyc94Iq3RnafntD7K8hdWRbaJarNLNY6VmgSmiCqua7grc\ne+9kN14mCHp2TzzRS/ugk46AThcRVoIgCB5hswLfhUOAOzPfCeDOTHUqH6hNrsBMD7g33hh8XtTZ\nYGY9J5wAPPlktDr8qA6LVS4gAjp1in5OthFhlXkkrkXIF+RZdCOnmddN8knMZKIvixalX0cqpBJj\nZaNjR+DYYxP3nXxyfH26bt2ANWsSj2/aFF/KJlWKi4Hzzw8uk08Wq2yR6fQeYrGqmcggJuQL8iy6\nkVfCKhtkclZgFJo1A374Ib06UiVTFquVSdMPEpk0KVm4pCuqXNlvP2DJkvByNVlYRUWElSAIQu7J\nq6GhOjJ2uxIWYxVG8+aZ60tUzOB11/K2/eYx/TsqLMzMzLNUBvynnwY2bHAraxNANcEVmO2EtNlA\nhJUgCHWdWm+xSpV0B6n69TPTj1RQA77fIswm+TAgR6VRI/dYLtuSNTVBWGV6EoBYrGomEtci5Avy\nLLohwsqHdC1WuVwnLaor0CXrfDbJ9tInUdYCdMEvf1e+07Zt9uoWYZU9ZBAT8gV5Ft3IG2F1ySXZ\nWVw5VfzEyBtvuGVezydhFcTGjbld023pUm9h42xSUy1WmXQFZtvNruqvaWJTEAQh0+TNa3DixOys\nxdejR2oix2+Q6t0b6Ncv/PxcCiuFsh4EDbh77pnbvnbunHmLkkm2LFbZdqFGFUP77gv07JmdvoSR\nT9n2iejfRLSOiJZo+0qJaC0RLYz9O007dgMRrSSiFUTUPze9FgShthCWeb1dbHHlT4hoKRFdHVC2\nBxGVE9GQzHczdXr29Jb3qG5yKVbUICfWA+Doo4GTTkre/4c/pL6mX76y++7AvHm5aTufhBWARwCc\nauxjAHczc7fYv2kAQESHAjgXwKGxc/5FRHn1P+fmm2+WpYGEvECeRTfCfsuXAbiWmRfFFmL+kIje\nYObleiEiKgRwO4DXANTAUOhkdtstvfNzGbyuBrlMW1YaNPByV9Uk5s+37+/Tx0t0mo2laDJFPs2S\nDSPqwtvZhJlnE9H+lkO2/wmDAUxh5jIAq4loFYCjAeRIoiYjcS1CviDPohuBv8yY+TtmXhTb3gpg\nOYDWlqJXAZgKwHECfP5z+eXArFmpn3/CCblNuQBk3mL100/A7bdnts5cku/CJd/7p5NnFis/riKi\nxUQ0iYiaxva1BrBWK7MWQC2zZQqCUJ04D72xX4DdAMw39reB96vvgdiuGjQc+NO8OXDccamff+21\nwPffZ64/URgwwMvzlGmLVb16NTM1gx/5LFweegg48shc98KdGiCsHgDQHkBXAN8CuCugbB4/GYIg\n5DtOYb0xN+BUAGNiliudcQCuZ2YmIkItcQXWZFq2BM49F1i7NrxsXSafxcCll+a6B9HId8HNzOvV\nNhE9DOCl2MevAbTTiraN7UuiVFt5vaSkBCUlJZnuphXJHSTkC7X9WZw5cyZmzpyZdj2hwoqIigA8\nC+AJZn7eUuRIAE97mgotAJxGRGXM/KJZMFcvprqKcgXm+6CXK/LZYlXTOOAAYPbszL2YMg0R7cPM\n38Y+ngVAzRh8EcBTRHQ3PBdgJwDv2+rQ31/VSW0dxISaR21/Fk1dkmqgfqCwilmgJgFYxszjbGWY\nuYNW/hEAL9lEFZC7F1NdpbrSAtRU+vbNfg6tugKRWrA7My+m9PpCUwAcD6AFEa0BcBOAEiLqCs/N\n9yWA0QDAzMuI6L8AlgEoB3A5s0huQRBSJ8xi1QfAMAAfE9HC2L4bAewLAMw8IYt9E9JEBFUw3bsD\nK1bkuhdCpmHm8yy7/x1QfiyAsdnrkSAIdYlAYcXM7yJCgDszj0i7R0LGEFegINR8antci1BzkGfR\njbxZ0kbIPA0ben8bN85tP2orIliF6kAGMSFfkGfRDRFWtZjdd5cAbUEQBEGoTvJq6QZBEARBEISa\njAgrQRCEPEbWZxPyBXkW3RBXoCCkiLhZhepA4lqEfEGeRTfEYiUIgiAIgpAhRFgJgiAIgiBkCBFW\ngiAIeYzEtQj5gjyLbrisFdgOwGQAe8FbDuIhZh5vlBkK4Dp4CzD/BOAyZv44890VBEGoW0hci5Av\nyLPohovFqgzAtczcGUAvAFcQ0SFGmS8AHMfMXQD8DcBDme1mdKp7IdhcLDxb269R2qvZ7QmCINRF\nQoUVM3/HzIti21sBLAfQ2igzl5l/jH2cD6BtpjsalbowaNX2a8z39vbbr3rbSxcRVoIgCNknUroF\nItofQDd44smPiwG8mnqXBCH/kVQLQnUh67MJ+YI8i244Cysi2h3AVABjYpYrW5l+AEYC6JOZ7gmC\nIABENBnAFGaeluu+VDcyiAn5gjyLbhA7/PQmoiIALwOYxszjfMp0AfAcgFOZeZXluPzGF4Q6CDOn\nvVw1ERUDOBfAGQDmAHiYmbelW2+E9tnlXSlUH+PHj8d1163Czp3jwws7ox7V6vmumzTpienTx6Nn\nz57V0p4QDSJK6f3lMiuQAEwCsCxAVO0LT1QNs4kqIDMvV0EQ6izNAXQA8COAdQD+DU9oCYIg5BUu\nrsA+AIYB+JiIFsb23QhgXwBg5gkA/gKgGYAHPB2GMmY+OvPdFQShjvJbAP9i5s8BgIjW5Lg/1YbE\ntdRuvvrqKzRt2jRr9Tdr1gx77bVXRuqSZ9ENJ1egIAhCLiGigcz8Umz7DGZ+pZrbF1dgnlEbXIHF\nxWejfv3spXzctWsTrrhiBO66646stVGbSdUVWC2Z14noVCJaQUQriegPGarz30S0joiWaPv2JKI3\niOgzInqdiJpqx26Itb+CiPqn0F47IppBRJ8Q0VIiujqbbRJRAyKaT0SLiGgZEd2a7WuM1VFIRAuJ\nSA1i2bynq4no41h771dDe02JaCoRLY/d055Zbu+g2LWpfz8S0dVZbvOG2DO6hIieIqLiLLc3JtbW\nUiIaE9uXjfaO17b7Ru2nIOQjO3c+g59++jRr/3bu/D0qK3N9lXWPrFusiKgQwKcATgLwNYAFAM5j\n5uVp1tsXwFYAk5n58Ni+OwB8z8x3xARcM2a+nogOBfAUgB4A2gB4E8CBzOz8yBHR3gD2ZuZF5M2Q\n/BDAmQBGZLHNhsy8nYjqAXgXwO8ADMpWe7E2fwPgSAB7MPOgLN/TLwEcycybtH3ZbO8xALOY+d+x\ne9oIwB+z1Z7RdgG85/9oAFdlo03y0qG8DeAQZt5JRP+Bl/qkc5baOwzAlNj5ZQBeA/BrAKMz3V7s\nu5sMz5RwATOPcOljpiCxWEXmiSeewJo12fPYvvfee3jzzQ412mKVfe7ANdd8j3vuEYtVKlC2gtcz\nwNEAVjHzagAgoqcBDIaXaDRlmHl2bCDRGYT4L9vHAMwEcH2svSnMXAZgNRGtivVrXoT2vgPwXWx7\nKxEthzc4ZLPN7bHN+gAKAfyQzfaIqC2A0wHcAuA3sd1Za081a3zOSntE1ARAX2a+CACYuRzAj0SU\n7etTnATv/8GaLLa5BZ7AaUhEFQAaAvgGwA1Zau9gAPOZ+WcAIKJZAH6B7HyHVwM4H97zco1j/2oF\nNTWu5R//mIilS9siFo6bBQ5HZWXvLNUt2Kipz2J1Ux3Cqg0A/WfLWgDZmlvaipnXxbbXAWgV226N\nxJf32li/UoISE6Vmrc2YleMjAB0BPMDMnxBRNq/xHgC/B9BY25fN9hjAmzERMIGZJ2axvfYANhDR\nIwCOgGdxvCaL7Zn8Cp51B9lqk5k3EdFdAP4HYAeA6cz8RhafmaUAbiGiPQH8DE+Uf4DsXN++AJoA\nKAYwBsBfI/SzRlOTB7HKylFI9OIKNZma/CxWJ9UhrHJiU2VmpuDcWSn1K+YGfBZeotSfiOIGl0y3\nGXORdI1ZW6aTl4A1K+0R0QAA65l5IRGV+PQn0/e0DzN/S0QtAbxBRCuy2F49AN0BXMnMC4hoHDwr\nSrbaq4KI6gMYCPx/e/ceLVVd/3/8+eaieTugC0UFDC00/a6EvCBR6jH9KlGAS75d+EbfLhL2NfjC\nL1LRX8lgS1OXqallSEqWfjXSLCxvmB5zlWKYgAZH8UI/kJtCVALiOfL+/bH3OQ7DXPbM2Xtmz5zX\nY629zsyez+zP5zPnM3ve89nvvYfd8gtj/h9+gCBYHExwWYJfmtnEpOpz91Yzuwp4BNgKLAHeTai+\nbwLfJ5iRExFJrWokr78ODMq6P4jgm2oSNoS5UJjZIcDGAm0YGK4riwUXSr0X+Lm7/7oadQKEv8P4\nO4Lcp6TqGwmMDfOe7gI+YWY/T7A+3H1d+PcN4D6Cw0JJ1bcGWOPufw7v30MQaK1P+v8HfBJ4Nuwn\nJNfHE4A/ufum8FDnr4CPkmAf3f02dz/B3U8lOFT9UkL9e8HdX3D3F939xXLaKCJSTdUIrBYDQ8xs\ncPjN/XPAgoTqWgB8Kbz9JeDXWes/b2Z7mNnhwBDgmXI2bFbwQqmJ1Glm/TrOpjKzvYB/B55Lqj53\nv8TdB7n74QSHrR5z9y8m2L+9zWy/8PY+wJnA8wn2bz2w2syODFedAfwVuD+J+nJM4L3DgB3bTqLO\nVmCEme0VjtczgOUk2EczOyj8exhwDkFyehL9O83M7jezX5rZL8tpY72bPXt2Z26LSC1pLEbk7okv\nBN/YXwReBi6OaZt3ESTmvkOQw/UV4ACCM41eIjg80Ter/CVh/a3AWRXU93FgJ8HhjufCZVRSdQIf\nJsivWgIsAy4I1yfWx6ztnAosSLI+gpynJeHyQse4SPh/OJTgrNSlBLM5fZJ+PQnOPHyT4CxLqtDH\nCwkCxucJEsd7J1zfH8L6lgCnJdU/YF/gxPD2wErHdhfeEy7lOfbYUxxaPPjJ8npZCJdatyOu5Sqf\nPv2CWg+FuhW+78veX+gCoSKSemY2F3jH3b9hZj9y9/OrXL9rX1meoUNPZdmyy6iv5HVdbkHek+bL\nLYiIdNVbBDlcEJzxKCKSSlW58rqISBe9CYwMLyfRra4lrbwWSQuNxWg0YyUiqeful5vZh4Ae7r68\n1u2pJl07SNJCYzEaBVYiknpm1nFW5V5h3sPZNW2QiEgBCqxEJPXcfQJ0Xvbk/9S4OSIiBSmwEpHU\nM7N/IzhVqzfBj0p3G/p9NkkLjcVoFFiJSD34j/DvDuCGWjak2vQhJmmhsRiNAisRqQeLs24PNLOB\n7v67mrVGRKQABVYiUg8mAX8kOBz4cd77mRwRkVRRYCUi9aDV3a8BMLMD3f32WjeoWpTXImmhsRiN\nAisRqQtmdivBjNWGWrelmvQhJmmhsRiNAisRqQf/FxgIbCFIYBcRSSX9pI2I1IPrgVnu/k/gxlo3\nRkSkEAVWIlIPdgJ/C29vqWVDqk2/zyZpobEYjQ4Fikg92AEcY2ZTgf1r3ZhqUl6LpIXGYjQKrEQk\n1cKfsbkH6AcY8KPatkhEpDAFViKSau7uZnaau19d67aIiJSiwEpEUs3MxgHjzOwsYDOAu3+mtq2q\nHl07SNJCYzGaqgVWZubVqktE0sPdrYubGOXuHzOzm939v2NpVB3Rh5ikhcZiNFU9K9DdG2KZNWtW\nzdugfqgv9bDE5DAz+1T4d7SZjY5rwyIicdOhQBFJu18SJK7PBw6scVtERIpSYCUiqebuP611G2pJ\neS2SFhqL0SiwqkBzc3OtmxCLRukHqC/SuPQhJmmhsRiNrrxegUb54GuUfoD6IiIi6aDASkRERCQm\nJQMrM7vNzDaY2fNFytxgZivNbKmZfSTeJoqIdF/6fTZJC43FaKLkWM0j+DX5n+V7MDz1+YPuPsTM\nTgJuBkbE10QRke5LeS2SFhqL0ZScsXL3J4G/FykyFrg9LLsI6Gtm/eNpnoiIiEj9iCPHagCwOuv+\nGmBgDNsVERERqStxJa/n/mSFfr5GRCQGymuRtNBYjCaO61i9DgzKuj8wXLebTCbTebu5uVmnlYs0\nmJaWFlpaWmrdjIaivBZJC43FaOIIrBYAU4C7zWwEsMXdN+QrmB1YiUjjyf3CVItvt2Z2G/ApYKO7\nfzhcdwDwC+D9wCrgs+6+JXzsYuCrwLvA/7j7I1VvtIg0jCiXW7gL+BNwlJmtNrOvmtl5ZnYegLs/\nALxqZi8Dc4DzE22xiEhx84BROetmAgvd/Ujg9+F9zOwY4HPAMeFzfmRmur6fiFSs5IyVu0+IUGZK\nPM0REekad3/SzAbnrB4LnBrevh1oIQiuxgF3uXsbsCr8gjgceLoqjY1Av88maaGxGE3d/1ZgJpPh\nxBNP5FOf+lStmyIi6dU/K0VhA9BxSZhD2TWIWkNwpnNq6ENM0kJjMZq6nvLeuXMnZrknJDYWd897\nW0Qq48EbqdibSW80EalYamas3n77bSZNmsS6devYd999ueOOO9hnn30466yzaGtrY4899uDee+9l\nv/3245hjjmHEiBH06dOHvn37AvCDH/yAgw46iAkTJvDSSy9x2WWXcccdd+xWz3HHHcfIkSN56qmn\n+MY3vsETTzzB0qVL+c53vsP48eNZvHgxF154Ie3t7YwbN44ZM2awcOFCLr/8crZt28b48eO56KKL\n+OlPf8r9999PW1sb69evZ8GCBRx88MGd9bzwwgtMmTKFd955h+OPP54bb7wRd2fKlCk8//zz9OrV\ni/nz57Nu3TrOP/983J1Pf/rTzJw5k0wmw6pVq3jjjTe44oormDp1KoceeijDhg1j5syZVfufxWp0\nxQAAHBlJREFUiDSQDWZ2sLuvN7NDgI3hep3VLCJAjGc1u3tVlqCqwm688Ua/7bbb3N397rvv9muu\nucbd3bdt2+bu7tddd53PnTvX3d2bmpp8y5Yt7u6eyWT8t7/9rW/cuNHHjRvn7u6XXnqpP/zww3nr\nOeKII3zNmjX+1ltveVNTk7/xxhu+ZcsWb25udnf3008/vXPbY8aM8Q0bNnS24d133/UTTzzRt2/f\n7vPmzfNzzz3X3d1vvvlmv+GGG3apZ/v27Z23x40b5ytXrvTf/OY3PnXq1M71O3fu9DFjxnhra6u7\nu5955pm+atUqz2Qyfumll7q7+2uvveYf+MAHvK2trejrJ5JG4fu+avsZf29/Mxh4Puv+1cBF4e2Z\nwJXh7WOAJcAewOHAK4Dl2V6SL1NRmUzGM5lMzeqv1LHHnuLQ4uB1tBAutW5HXMtVPn36BbH9T+t1\nLFaq0v1Xamasli9fzuLFi/nZz35GW1sbp5xyClu3bmXy5Mm8/vrrbN68mc985jMAfPCDH6RPnz6d\nzzUzDjzwQHr27MnGjRt57LHHCl7aYf/992fAgCCFYsiQIfTr1w8IZswAli1bxtlnnw3Ali1bWLNm\nDVu3buWyyy6jra2Nv/3tb2zcuBEzY9iwYQAMGjSIZ599dpd6Xn31Vb71rW+xbds2Xn31VdauXUtr\nayunnnpqZxkzY/369Rx11FFAMJv2yiuvAHDCCSd0lhs6dCi9eqXmXyWSauGZzKcC/cxsNXApcCUw\n38zOJbzcAoC7Lzez+cByoB04P9yhpkYSeS2bN2/msMMO5913Y990px073kpu41ITyrGKJjWf1kcf\nfTQjR45k4sSJALS3t7NgwQKOOOII7rzzTq699lr+9a9/AdCjx66pYR37wS984QtMmzaN4cOHF8y9\nyl6fr8ywYcO45557aGpqYufOnfTo0YOxY8cyZ84cBg8ezPHHH99ZX8fzO6LUbD/+8Y+ZMWMGp59+\nOuPGjcPdOfroo3n00UcZP348EOSI9e/fn9bWVo466ij+8pe/8PWvf50nn3xylz7m9ldECvPCZzKf\nUaD8FcAVybUofdyd9vYe7NixKuGa9kl4+yLpk5rAavLkyUyePJl58+YBMGPGDEaMGMEVV1zBc889\nR//+/Xn/+9+f97kdAc6YMWOYPHkyCxcuLFhPocCq4/aVV17JOeecw86dO9lzzz257777GD9+PGef\nfTYf/vCHaWpq2u05ZrZbkDZmzBimTZvGhz70IdwdM2PMmDE89NBDnHzyyfTu3Zv58+dz+eWXM2nS\nJNyDHKuOPhbbtohI1/UA+pQsJSLlsWrNeptZ4jPsO3bs4Mwzz+SJJ55ItB4RicbMcPe6/2ZQjf1X\nIUlcO2jTpk0MGHAkO3Zsim2bjaFjqKbqaHAXXM306W9y3XVXx7K17nYdq0r3X6mZseqqlStXMmnS\nJKZNm9a5bvTo0Wzfvr3z/gUXXMDo0aNr0TwRkYp0lw8xST+NxWgaJrAaMmTIbjNVDzzwQI1aIyIi\nIt2RsqJFREREYqLASkQkxWbPnt2Z2yJSSxqL0TTMoUARkUakvBZJC43FaDRjJSIiIhITBVYiIiIi\nMVFgJSKSYsprkbTQWIxGOVYiIimmvBZJC43FaErOWJnZKDNrNbOVZnZRnsf7mdlDZrbEzF4wsy8n\n0lIRERGRlCsaWJlZT+AmYBRwDDDBzI7OKTYFeM7dhwHNwPfNTDNhIiIi0u2UmrEaDrzs7qvcvQ24\nGxiXU2Yd0PHLxE3AJndvj7eZIiLdk/JaJC00FqMpNbM0AFiddX8NcFJOmbnAY2a2FtgP+Gx8zRMR\n6d6U1yJpobEYTakZqyg/8X0JsMTdDwWGAT80s/263DIRERGROlNqxup1YFDW/UEEs1bZRgKXA7j7\nK2b2GnAUsDh3Y5lMpvN2c3Mzzc3NZTdYRNKrpaWFlpaWWjdDRKRmzL3wpFSYhP4icDqwFngGmODu\nK7LKXAv8w91nm1l/4FngWHffnLMtL1aXiDQeM8Pdrdbt6Kpa7r86clriPAyzadMmBgw4kh07NsW2\nzcbQMVQb5bPqaqZPf5Prrrs6lq0lMRbTrNL9V9EZK3dvN7MpwMNAT+BWd19hZueFj88BrgDmmdlS\ngkOLF+YGVSIiUpnu8iEm6aexGE3JyyK4+4PAgznr5mTdfhMYE3/TREREROqLftJGREREJCYKrERE\nUkzXDpK00FiMRldIFxFJMeW1SFpoLEajGSsRERGRmCiwEhEREYmJAisRkRRTXoukhcZiNMqxEhFJ\nMeW1SFpoLEajGSsRERGRmCiwEhEREYmJAisRkRRTXoukhcZiNMqxEhFJMeW1SFpoLEajGSsRERGR\nmCiwEhEREYmJAisRkRRTXoukhcZiNMqxEhFJMeW1SFpoLEajGSsRERGRmJQMrMxslJm1mtlKM7uo\nQJlmM3vOzF4ws5bYWykiIiJSB4oeCjSznsBNwBnA68CfzWyBu6/IKtMX+CFwlruvMbN+STZYRKQ7\n6chp0WEYqTWNxWhK5VgNB15291UAZnY3MA5YkVXmP4F73X0NgLu/mUA7RUS6JX2ISVpoLEZT6lDg\nAGB11v014bpsQ4ADzOxxM1tsZl+Ms4EiIiIi9aLUjJVH2EZv4DjgdGBv4Ckze9rdV3a1cSIiIiL1\npFRg9TowKOv+IIJZq2yrgTfdfTuw3cz+AAwFdgusMplM5+3m5maam5vLb7GIpFZLSwstLS21bkZD\nUV6LpIXGYjTmXnhSysx6AS8SzEatBZ4BJuQkr3+IIMH9LGBPYBHwOXdfnrMtL1aXiDQeM8Pdrdbt\n6KpG239t2rSJAQOOZMeOTbVuSsp0DNVG+V9fzfTpb3LddVfXuiF1qdL9V9EZK3dvN7MpwMNAT+BW\nd19hZueFj89x91YzewhYBuwE5uYGVSIiIiLdQckrr7v7g8CDOevm5Ny/Brgm3qaJiIhIV7z99nY2\nb96c2PZ79OhB3759E9t+PSp6KDDWihpsKl1EStOhwK5LIq9FhwILabRDgTew556Z2LZ28cXTAPje\n934AgPu7HHhgP9aseSW2OtKk0v2XAisRSYwCq3RSYFVIowVWSXuFgw46kw0bFFhl028FioiIiMRE\ngZWIiIhITBRYiYik2OzZszvzrERqKZOZTSajsViKcqxEJDHKsUon5VgVohyr8ijHKh/NWImIiIjE\nRIGViIiISEwUWImIpJhyrCQtlGMVjXKsRCQxyrFKJ+VYFaIcq/IoxyofzViJiIiIxESBlYiIiEhM\nFFiJiKSYcqwkLZRjFY1yrEQkMWnLsTKzVcA/gXeBNncfbmYHAL8A3g+sAj7r7ltyntdQ+y/lWBWi\nHKvyKMcqH81YiUh34kCzu3/E3YeH62YCC939SOD34X0RkYoosBKR7ib3G+hY4Pbw9u3A2dVtjog0\nEgVWItKdOPComS02s6+F6/q7+4bw9gagf22alp9yrCQtlGMVTckcKzMbBVwP9AR+4u5XFSh3IvAU\nQX7Cr/I83lA5CiJSWgpzrA5x93VmdiCwEJgKLHD3/bPKbHb3A3Ke11D7L+VYFaIcq/IoxyqfXiU2\n2hO4CTgDeB34s5ktcPcVecpdBTzE7tPsIiKp4O7rwr9vmNl9wHBgg5kd7O7rzewQYGO+52Yymc7b\nzc3NNDc3J99gEamalpYWWlpaurydojNWZvZRYJa7jwrvzwRw9ytzyk0H3gFOBH7r7vfm2VZDfeMT\nkdLSNGNlZnsDPd39X2a2D/AIMJvgi+Mmd78q3Mf1dfeZOc9tqP2XZqwK0YxVeTRjlU/RGStgALA6\n6/4a4KScigcA44BPEARWGpEikkb9gfvMDIJ9353u/oiZLQbmm9m5hJdbqF0Td9eRXzVr1qwat0S6\nu478qkxGY7GYUoFVlCDpemCmu7sFe6yC0Z2m0kUaW1xT6Ulw99eAYXnWbyaYtUolBVSSFgqooil1\nKHAEkMk6FHgxsDM7gd3MXuW9YKofsA34mrsvyNlWQ02li0hpaToU2BWNtv/SocBCdCiwPDoUmE+p\nGavFwBAzGwysBT4HTMgu4O5HZDViHnB/blAlIiIi0h0UDazcvd3MpgAPE1xu4VZ3X2Fm54WPz6lC\nG0VEui3lWElaKMcqGv1WoIgkRocC00mHAgvRocDy6FBgPrryuoiIiEhMFFiJiIiIxESBlYhIium3\nAiUt9FuB0SjHSkQSoxyrdFKOVSHKsSqPcqzy0YyViIiISEwUWImIiIjERIGViEiKKcdK0kI5VtEo\nx0pEEqMcq3RSjlUhyrEqj3Ks8tGMlYiIiEhMFFiJiIiIxESBlYhIiinHStJCOVbRKMdKRBKjHKt0\nUo5VIcqxKo9yrPLRjJWIiIhITBRYiYiIiMREgZWISIopx0rSQjlW0SjHSkQSoxyrdFKOVSHKsSqP\ncqzyiTRjZWajzKzVzFaa2UV5Hv+CmS01s2Vm9kczO7bchoiIiIjUu5KBlZn1BG4CRgHHABPM7Oic\nYq8Cp7j7scB3gVvibqiIiIhI2kWZsRoOvOzuq9y9DbgbGJddwN2fcvd/hHcXAQPjbaaISPekHCtJ\nC+VYRdMrQpkBwOqs+2uAk4qUPxd4oCuNEhHpzhYtWsT8+b/aZd2MGbtlYVRs+/btsW1Luo9MZlat\nm1AXogRWkbP4zOw04KvAxypukYhIN7d06VJuvPFx2trGJ1jLpQluW6T7ihJYvQ4Myro/iGDWahdh\nwvpcYJS7/z3fhjKZTOft5uZmmpuby2iqiKRdS0sLLS0ttW5GQ+jVaxhtbfHNUolIdZS83IKZ9QJe\nBE4H1gLPABPcfUVWmcOAx4CJ7v50ge001OnKIlKaLrdQmVtuuYXp0xezffstnTktOgxTDbrcQjG7\nj0VdbiGfkjNW7t5uZlOAh4GewK3uvsLMzgsfn0Mwp7w/cLOZAbS5+/ByGyMiIrtSQCVpobEYTZRD\ngbj7g8CDOevmZN2eBEyKt2kiIiKSZm1tO1i2bFmidQwZMoS99tor0TriFCmwEhEREdnVHrz99gGc\nfPLExGrYtu0lFi9exNChQxOrI24KrEREUkw5VpIWu4/FQWzfvowkr97R1FQ/AVWHmgRWmUxmlzME\nRUQkPwVUkhYai9FE+q3AuOkqwiIiItKIahJYiYiIiDQiBVYiIimm32eTtNBYjEbJ6yIiKaa8FkkL\njcVoNGMlIiIiEhMFViIiIiIxUWAlIpJiymuRtNBYjKamOVa6npWISHHKa5G00FiMpqYzVrqeVW0o\nmBUREUmGDgUmKK0BjAJaERGRZNRFYJXWAKUUBTAi0lXKa5G00FiMpi4Cq3oKUOo1CEySXhORymUy\ns5TbIqmgsRhNXQRWtZQvKOhYl+8xBYG7q6fXJC5JvrYKVEVE0qtkYGVmo8ys1cxWmtlFBcrcED6+\n1Mw+ElfjigU11ZIvKOhYFzVgKNXmWn1QVhLwRO1Ld//wTzKY7I6BqohI3XD3ggvQE3gZGAz0BpYA\nR+eUGQ08EN4+CXi6wLa8Q8ft7HX55CvXcXvWrFlFn1uJjm1mbztfG/O1q+M5UftZqo5S7eqKqK9/\nseeWs+1K6ql3Sfa5nl7PsK1F9zP1sFT7NZ8zZ47vtdfXHNwzmYxnMhkH15L4QrjUuh3pXGoxFpua\njvUlS5ZU9f3XodL9lwXPzc/MPgrMcvdR4f2Z4R7myqwyPwYed/dfhPdbgVPdfUPOtryjLjMLKg//\nFql/t3JRn5tPqetmFauvknYVa2upOkrV1xVd2V5X/mf5lPqf1Ou1zqK+tpX0L65xUA1hW63W7eiq\n7P1XNdxyyy1Mn76Y7dtvqVqdAtAxVOvj/dUdNDUN5etfH8WAAQMSq2P48OGMGDFit/WV7r9KBVb/\nAZzl7l8L708ETnL3qVll7ge+5+5/Cu8/Clzk7s/mbKvmgVVcQYECq8pew3xBRKHtdZTNfjztQVZ2\n+/L1q5z+F6PAqvoUWHUXCqzSpkePK+nde21i229vX8TFF5/Fd7972W6PVbz/KjadBYwH5mbdnwjc\nmFPmfuBjWfcfBY7Ls63c6TXPXpdPvnL51kU9RNaV+ippV7G2lqqjVH1R5XtturK9Uq971Nch3/ai\nbidtov5Pi63L91pmryvn0HGtFDmUXvZUetqWar/m2YcCtVRz0aHA7rfM9m9/+zt534eV7r9KzViN\nADL+3qHAi4Gd7n5VVpkfAy3ufnd4v+ChQJiVtaY5XESkcbSES4fZuGasypY9Y9Vx3SCd5l4NmrEq\npjHH4mV8+9vtVZ2x6gW8QpC8vgelk9dHECF5PSnZdeSbRchXNokk+DiUaldH+7P7l29d7mNR6iu2\n7WJt6aqo2yk1u5Pvfxv1tSnndYqiq/+LqNsuNt5LjZFy1xXadpE2lv2NL21LNfZf2TRjVatFM1bd\nb4l/xqp0Afgk8CLB2YEXh+vOA87LKnNT+PhS8hwGDMvEvvMp8CLsotCHVLV3lHEr9sFX7BBdFPkO\n6RT7sI/rtYwryC0WeJUaI3GPi1JBYFdEDXQUWCmw0hJ1UWDV/ZYaBFZxLdXYMZXzgZXWmaqoys3V\nSrK/9RSkxj0jVUtRA+gkA6uIM6tV288ktSiw6i6LAqvut1Q5xypO1c5R6C7KObuwGm1Iu3pqayVK\nnYGa72zLfGdtlnvZjBLtUY5VmZRjVSvKsSqmMcdi/DlWvWJpl9TMrFmNNMClq0qNh1LXDJP0aawP\nMalnGovRKLCqc2n4MFRwlx6VjAf9/8q3detW2tvbE9v+tm3bEtu2iCRLgZV0WRqCO6lcsf+fgq78\nPvnJc3jqqSfp0aN3YnXs3PnlxLYtIslRYNVA9CFYWnd8jfL1OerrkB10NfJrZ2ajgOsJfh/1J551\nrb58duyA9vb7gLMSb1tj5rVIPdJYjKiSjPdKlqCqxvD444/XugmxaJR+uKsvcYv5khBV289UshDt\nx+Z36dfw4Wc6PJTw2UqPV/nsKNUHcZ4VmMb+1XudSdQX/1mBPaofytW/lpaWWjchFo3SD1Bf4tbN\nDu8OB15291Xu3gbcDYyrcZvY9Qr2qk/1pa2+WtRZ7foqo8BKRLq7AcDqrPtrwnUiImVTjpWIdHde\n7hN69oS9976UXr1uSqI9ALz99ou8733P8s1vngDAtdcuTqyu7PqqJY31/fOfwd+mpjFVqS9O1agv\ndyw2Qh937HgJ+Fys26zqBUKrUpGIpIqn/AKhEX9sXvsvkW6okv1X1QIrEZE0MrNeBL+HejqwFngG\nmODuK2raMBGpSzoUKCLdmru3m9kU4GGCMwRvVVAlIpXSjJWIiIhITKpyVqCZjTKzVjNbaWYXVaPO\nOJjZIDN73Mz+amYvmNn/hOsPMLOFZvaSmT1iZn1r3daozKynmT1nZveH9+uyL2bW18zuMbMVZrbc\nzE6qx76Y2cXh+HrezP7XzPasl36Y2W1mtsHMns9aV7DtYV9XhvuCM2vT6sIKvd9zynzBzJaa2TIz\n+6OZHZtkfVllTzSzdjM7J+n6zKw53Ee8YGYtldYXtU4z62dmD5nZkrDMl7tQ3/vMbFG4reVm9r0C\n5W4Ix+JSM/tIkvXFPGYi9S8sG8eYifp6xjlmorymsY2ZrG3u8tmY5/HoYyYNF99L6wIcDAwLb+9L\nkIdxNHA1cGG4/iLgylq3tYw+fRO4E1gQ3q/LvgC3A18Nb/cC+tRbX8L3xKvAnuH9XwBfqpd+ACcD\nHwGez1qXt+3AMeF7v3fY75eBHrXuQ05/8r7fc8p8FOgT3h4FPJ1kfeFjPYHHgN8C4xPuX1/gr8DA\n8H6/KrymGeB7HfUBm4BeXahz7/BvL+Bp4OM5j48GHghvn9SV/2HE+mIbM1Hqi3PMROxfrGMmYp2x\njplwO7t8NnZlzFRjxiqlF98rzd3Xu/uS8PZbwAqC69uMJfhgJ/x7dm1aWB4zG0gwQH4CdJzpUHd9\nMbM+wMnufhsEOTLu/g/qry//BNqAvS1IoN6bIHm6Lvrh7k8Cf89ZXajt44C73L3N3VcRBFbDq9HO\nqAq83w/NKfNUONYAFgEDk6wvNBW4B3ij0rrKqO8/gXvdfU1Y7s0q1LkOaApvNwGb3L3iX7h2945f\nsN6DIMDYnFOkc4y6+yKgr5n1T6q+OMdMlPpCsYyZiPXFOmYi1hnrmCnw2ZitrDFTjcCqIS6+Z2aD\nCb6dLwL6u/uG8KENQMVvyiq7DrgA2Jm1rh77cjjwhpnNM7O/mNlcM9uHOuuLu28Gvg/8P4KAaou7\nL6TO+pGjUNsPJXjvd0j1fiDn/V7IucADSdZnZgMIgtKbw1WxJMUW6d8Q4IDw8N1iM/tiHPWVqHMu\n8G9mthZYCkzrYj09zGwJwfh73N2X5xTJ95lUcbATob5sXR4zpeqLe8xE6F/sYyZCnbGOGfJ/NmYr\na8xUI7Cq++x4M9sXuBeY5u7/yn7Mg7nB1PfRzD4NbHT358gfkddNXwimh48DfuTuxwFbgZnZBeqh\nL2b2AWA6waGxQ4F9zWxidpl66EchEdqeyn6F7/d7CN7vbxUocxrwVYLDnUnWdz0wM3wtjQLv3Rjr\n603w3hpN8AvT3zGzIQnXeQmwxN0PBYYBPzSz/Sqty913uvswgg++U8ysOV+Tcp+WcH2xjZkI9cU6\nZiLUF/uYiVBnbGMmymdjR9HcZhYqWI3A6nVgUNb9Qez6zTXVzKw3QVD1c3f/dbh6g5kdHD5+CLCx\nVu0rw0hgrJm9BtwFfMLMfk599mUNsMbd/xzev4fgjb2+zvpyAvAnd++Yxv4VQT5GvfUjW6HxlLsf\nGBiuS5Ws9/sdWe/33DLHEnxjHuvuuYdC467veODu8H07HviRmY1NsL7VwCPuvt3dNwF/AIZWWl/E\nOkcCvwRw91eA14CjulJnuK1/AL8jeJ9lS2QsFqkv1jETob5Yx0yE+mIfMxHqjHPM5Pts/FlOmbLG\nTDUCq8XAEDMbbGZ7EFw7fkEV6u0yMzPgVmC5u1+f9dACgiRjwr95d8Bp4u6XuPsgdz8c+DzwmLt/\nkfrsy3pgtZkdGa46gyB58n7qqy+twAgz2ysca2cAy6m/fmQrNJ4WAJ83sz3M7HCCwwfP1KB9BRV5\nv2eXOYwgAJ7o7i8nXZ+7H+Huh4fv23uA/3b3ivafUeoDfgN8PDxDam+CRN1ih7biqLOVYOwT5q0c\nRXBSRyX19bPwTFQz2wv4d+C5nGILgP8Ky4wgOAS/gQpEqS/mMVOyvpjHTJTXM+4xE6XO2MZMgc/G\n/8opVtaYSfwCoV7fF9/7GDARWGZmHf/Yi4Ergflmdi6wCvhsbZrXJR3TmPXal6nAnWGw/grwFYLx\nVTd9cfel4TejxQTH9v8C3ALsRx30w8zuAk4F+pnZauBSCownd19uZvMJdrjtwPnhoYo0yfd+vwQ4\nDMDd5xD0cX/g5iBmoM3dK03Cj1JfnErW5+6tZvYQsIxgTM4tkTPU5TqBK4B5ZraU4Mv+hWH+YSUO\nAW43sx7htn7u7r83s/M66nP3B8xstJm9TJBG8JVKOxelPuIdM1Hqi1OU1zPuMROlj3GOmVwO0JUx\nowuEioiIiMSkKhcIFREREekOFFiJiIiIxESBlYiIiEhMFFiJiIiIxESBlYiIiEhMFFiJiIiIxESB\nlYiIiEhMFFiJiIiIxOT/A7JpSN00kUlyAAAAAElFTkSuQmCC\n",
"text": [
"<matplotlib.figure.Figure at 0x10c767ad0>"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": 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ye/IK4JfAWiHbTwDuiFNQJWOoSjnkF1fkhO3rj02qdQ+Vv6y4962UdgR5qIKE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\nYII=\n",
"text": [
"<matplotlib.figure.Figure at 0x10b4156d0>"
]
}
],
"prompt_number": 82
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"early = M.trace('early_mean')[:].mean()\n",
"late = M.trace('late_mean')[:].mean()\n",
"expected = [early]*40 + [late]*(1962-1851-40)"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 83
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"- \u6240\u7ed3\u679c\u53ef\u4ee5\u770b\u5230\uff0c\u4f30\u8ba1\u51fa\u7684\u8f6c\u6298\u65f6\u95f4\u57281891\u5e74\u9644\u4ef6\uff0c\u4e4b\u524d\u7684\u5e73\u5747\u53d1\u751f\u6570\u662f3\u6b21\uff0c\u4e4b\u540e\u7684\u5e73\u5747\u53d1\u751f\u6570\u662f0.9\u6b21"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"plt.figure(figsize=(12.5, 3.5))\n",
"plt.bar(np.arange(1851, 1962), disasters_array, color=\"#348ABD\",linewidth=0,alpha=0.65,\n",
" label=\"observed disaster per year\")\n",
"plt.xlabel(\"Year\")\n",
"plt.ylabel(\"Disasters\")\n",
"plt.title(\"UK coal mining disasters, 1851-1962\")\n",
"plt.xlim(1851, 1962)\n",
"plt.plot(np.arange(1851, 1962), expected, lw=4, color=\"#E24A33\",\n",
" label=\"expected number of disaster per year\")\n",
"plt.legend();"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
"png": 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A4d7aF154gTvvvJOMjAx69uzJxRdfDIRvz/3+++/z9ddfs3PnTubOnUvTpk0B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\nHCkBFxERERGJo/8PonIuBHZRb8cAAAAASUVORK5CYII=\n",
"text": [
"<matplotlib.figure.Figure at 0x10c5b5e10>"
]
}
],
"prompt_number": 77
}
],
"metadata": {}
}
]
}
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