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@fonnesbeck
Created November 7, 2016 22:20
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Dual Endpoints.ipynb
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{
"cells": [
{
"metadata": {},
"cell_type": "markdown",
"source": "# Simulated clinical trial\n\nSimulated randomized clinical trials (RCT) are useful because we know the true treatment effects being estimated. Consider a two-treatment (A, B) RCT for hypertension where covariate adjustment is used for baseline systolic blood pressure (SBP) and where there are two outcomes: (1) incidence of death or stroke (DS) within one year and (2) systolic blood pressure at one year after randomization. Even though time to DS would be a preferred outcome (and would handle censoring) we ignore the timing of events for this example and use a binary logistic model for DS. SBP is assumed to follow a normal distribution with constant SD $\\sigma=7$ given baseline SBP. The true B:A treatment effect is assumed to be a mean 7mmHg drop in SBP with B. We assume a correlation between SBP reduction and incidence of DS by forming a population logistic model for DS in which baseline and 1y SBP each have a regression coefficient of 0.05 for predicting DS and treatment has a coefficient of log(0.8). To estimate the true effect of treatment on DS not adjusted for follow-up SBP we first simulate a trial with $n=40000$.\n\nThe regression coefficient for treatment in the proper outcome model that did not adjust for 1y SBP was `round(btrt, 4)` which corresponds to a B:A odds ratio of `round(exp(btrt), 4)` which we take as the true treatment effect on the binary outcome.\n\nThe trial could easily be run sequentially but we treat the sample size as fixed at $n=1500$ and simulate the trial data as such. "
},
{
"metadata": {
"trusted": true,
"collapsed": false
},
"cell_type": "code",
"source": "%matplotlib inline\nimport numpy as np\nimport pandas as pd\nimport matplotlib.pyplot as plt\nimport seaborn as sns\nsns.set()\nimport pystan\nimport statsmodels.api as sm\nimport statsmodels.formula.api as smf\nfrom scipy.stats import logistic\n\nnp.random.seed(1)",
"execution_count": 1,
"outputs": [
{
"output_type": "stream",
"text": "/Users/fonnescj/anaconda3/envs/dev/lib/python3.5/site-packages/Cython/Distutils/old_build_ext.py:30: UserWarning: Cython.Distutils.old_build_ext does not properly handle dependencies and is deprecated.\n \"Cython.Distutils.old_build_ext does not properly handle dependencies \"\n",
"name": "stderr"
}
]
},
{
"metadata": {
"trusted": true,
"collapsed": true
},
"cell_type": "code",
"source": "invlogit = lambda x: 1 / (1 + np.exp(-x))",
"execution_count": 10,
"outputs": []
},
{
"metadata": {
"trusted": true,
"collapsed": false
},
"cell_type": "code",
"source": "A,B = 0,1\n\ndef sim(n):\n trt = np.r_[np.ones(int(n/2)), np.zeros(int(n/2))]\n sbp0 = np.random.normal(140, 7, size=n)\n sbp = sbp0 - 5 - 7*(trt==B) + np.random.normal(scale=5, size=n)\n logit = -2.6 - np.log(0.8)*(trt==B) + 0.05*(sbp0 - 140) + 0.05*(sbp - 130)\n ds = np.arange(2)[(np.random.random(n) <= invlogit(logit)).astype(int)]\n \n df = pd.DataFrame({'trt': trt,\n 'sbp0': sbp0,\n 'sbp': sbp,\n 'ds': ds})\n return df",
"execution_count": 11,
"outputs": []
},
{
"metadata": {
"trusted": true,
"collapsed": false
},
"cell_type": "code",
"source": "n = 1500\ndata = sim(n)\ndata.plot.scatter('sbp0', 'sbp', c='trt', cmap='plasma', alpha=0.4);",
"execution_count": 12,
"outputs": [
{
"output_type": "display_data",
"data": {
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mXAJ67NixmM9Llizh+eefn/T6rVu3jg/BCyGEEEIkW9AmQ/DTNecSUCGEEEKIucwwdCAJ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\n/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MePzfGBD95GJBJ53dfs2TvG4uLTZDMWuh7CNBsIYoa777nz+37ff/2XF0ivyAjiKrGY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SG3acTv8PWxykNqucOztOZ8fRfX1ttiiXLs5x+x03AbCyssrsTAW77eo+HFG0kM24SCQ29olI\nXQ8xPb3AyEj/vjnL5TJLiW8wPGz/4R5BlaWl76Km7iYWa73Sz+Fw7EvBI8tvbj/hwsIyY2OzbOfK\nbG8nCEeCxKJxDEMhHMly3/2H6ersxu6aorvbw9ildaxWEU3X2cqk0TUPLscgsqWKridwOAxK+Rb+\nt/+8xMHRPtraXaRTSZzOJhYvl9H0ErfdPkCpVCMxpNDSYiGxnKW1bYbZmWnSKRVv8Dyd3RnCUYVn\nn60RCh+gUFCwO6xspTN4vG7cnjL3P3CM5EYWsGGobr72D8v09tkJBzs4eMiHIMLEWIpzZ2384Gk/\n2bQOyNhsViRZp64Y7GwLrK0FSCV3MLBy+EiE6akssgS75SShwAH6B+zYrAZLSzmyWYNw2I4k7dDa\n3k69rpLeSnDPvW0I7G2BaGiEixe+x+jwLwOwsTmOJGqEwxZK5QBeX5WV5RXm5uD+B4bZ3KzS2dlB\nsTDJ8rKF9vaRN/XsmpsOkVheoX/Af6UtlargdR97U+NNTEx+vjF0sxLS28UUoCY3jNXEDlZraF+b\nxWJnK12ms2N/X1EUqdWupjxKp3Ng7A9OqVQq1BWZUrmyr91qtZPfLV9z/sTqeYaG7PsCVDo63EyM\nXdgnQH8StrayPPvMIh3tR9jOLSDLIko9TyZzEZenztFjrUyM5RgcGCWVcrIw/woOh4/2rjypjW1c\nTi+GYUNVrZRLO0RjA2xtbdLTG+LSpTwOqwWLtUJ+V0epyYTDHlYTVYZHKiQSCdweA7ujC0Es43Ta\nKFfOoDGOPxAklUrjCyp8/A+c/MWjl3E4mshmK7S0Cbg9Mr/4kI+uLgsvnTLIF1pRlB68zoP09dTI\n725RKleoK3ZCwZu4+aSd9tb/xDe2FzC0Bex2CTC4dKHO6Re6qRSttA10sHK5gZWlNT704VEsthma\nmnQMrZXgewyefnKDer3G8rLKVnaDW271UChEOX8uyciB3ivi81UikSL5/C5erw9DWObAgUPMzcyC\nWGd6Ksnqaon+/ijr6+BxD2KRLQQCFtbXZsnlGhEEp4IpIgAAIABJREFUgUAg+LrPz+PxU68/wMTY\nWSQ5j6bZ8bqP0dzc97beCxMTk58PgodNF/zbxRSgJu84XJ5rLYzVWomW1quioa2tEUEcA91Lva5Q\nKm1is9eRLBvompN8PofXu9e/XNmmq7vnmjkFYRdJuvZckvzGrvUfxTAM1tcvUyytIkluWltGuXRp\nHqcjBsDRo71MT+skEknKZYmTt3YzPWlhTPEhsMjhwyOUy11cqD1OOBBlY+0cDkeYQr5EXakgW3Xs\ndjfVapBiqYYg2KlWPLz04g4trU1Ewn7WNxZIplbYTO31j0Z9VCoJioUGcrk8a2vnec/9AoGgztaW\nxmYyj82q87HfETh/tgIEsForBAIiff0GihKlUHCS3AgTjfSwubHAN776Eidv06hVy3h9EWJRGVWV\nkSQJr/cwm5tZHK4isiwwfslLueREMJyoqg2n04WidDA9neTIUZF8VcPjshCJODl6fJORg6vUlRbi\nje2UymmeeWaOrvYPEvAvX7PeomSgaRqGYSAKKrJsZ3Bw8MrnXs95vF4rjfHhK23Z7A4bm5OEI3kM\nHcYnXbQ2vwef77WFaDAYIxh88C29CyYmJv8+yJ7P3OhLeNdjClCTG0ZrW5CJsQpWq+NKm6JUuPfe\nYVaW15HEKLJsoVLJE43V6e3tutIvFoty/ESUp55MUqvWCAQhn8/T3LpNIKRx7tzTOByd2Gwat9zW\nQjweu+b8uu5C10vXpOjRNMc1fV8LXdcZn3iCjq4dWjscKEqKC+dfZnKqiqE1geEkFGpncLCP1UQC\nq9VCMV/FYrUiSVYunN9gcLALh8NBX3+E5eU5urtjLMxXESUVRAObxYWiKMiyjmCECfjqWOQ2wqFu\n3O4KNWWKYFCgrX2Xnh4nU5N5NC1IPq9hs9WZGJ/h2Ak7olRFqeeIRKw4nA5mp4sodZX/9GsHULUq\ntVodr6cVr8/O//3ZKRQlBsIYO/lZCqUtLLUyuew6H/pInPxugsRShlTydvp7BU4e/4+8dHadzNYU\nLlee8YsWNM1JMDhItbyXxcBqtVIuOcjltslsOWhqdKKqGhZbDoutiqZP4g/KhCJOIhF4+dQr2J0u\nevvc+9Z8K+1gaCCAIAio9QBQ3/d5pWwjGLzqOtd1nY2NSYZH/cTje9kLGhrg0sUnGfZ+5G1nSjAx\nMfn3h2kBffuYAtTkhnH48BC57EskEgVEwYWuF2nvcHLnnTejKArj47OUimVaWxto72i7Rih86KH7\n8Pmf5cknv8H6Wg2vz0E4FGNjQ8ZmExEFg+bmTnZ3qiiKck06p9aWo0xPf52hoavVdFYTJYL+21FV\nlXq9jsPx+mI0kZilu2cXj3evX7W2S3f/ImurVQp5P7KssLF2nkJJxu2x4XBqyBYD2MVqU8hmRRKJ\ndXRjA4drmgfe7yOVrvDXn7uMw9mC1aZSzGtspUvYnWkCQRvvee8DrK+toSg7CIIBoozPv0l7h4ez\nL6vIcpDvfDvDieODtLZbyWbLBII2kskCg4N7a6CpVgxqqHUbTreN7Z0Ku7sOWlv37iOZ3GZoOEY2\nW0FAZGDASi5XRTOsTE0liYZDWKwizc0iiqLg8wW59eQnSabPsbY2i8A6keCtNDa2U62WWV+bQ5Ty\neLwqs5O9RGKgaTrlskIqtUEwWGb0wF5gka6X0bQq0XiS3Z07mJ1Zo63dhqpqLC0ZxKP3XnkXmhpv\nYXz8O/T2ythsFjKZEuiHGb+YYCNyBodTZH2tTKxBJRTo2vfsGhrLZDJpIpFrf5yYmJiYvB5mENLb\nxxSgJjcMQRB4z30nKRTybKVzRKL9eDx7FiqbzcbRo6OvO14URY4ePUAq9RwHD7YhiiIvnU7g88ap\nVIo0NPqIRsOoap1Ll2a46ab987lcbpobPsD42FlkeRdNtRPwHyW3vUS++Bx2h05mSwK9ifb2UYLB\na3/xVmqreLx26mqdQmGb7Z15ursd9A+pzE5vsbsdJN5oJXlxmWIpz9CojWh0b+9qubzD6moOwxjl\nO9/+AT5fGLUukUxu09bhp1hIs5Oz4XaXSW1l8QdsjB4coFrJ0tMb5L73jjIx9U1OnuykqgTxB1ax\nWi0YhkExv83OtpNkskSpFGbpcp7mVp3ESomqUkAUdKYmNCQRTr+YIhTqp609/8PrqiJKBbbSWzhd\nEpWySrWqIYo65VIBr0cgt10lk5UY7DfI5VLE4y34fGHa2x9iu6dEwDfJK+dygIDd7iIeO0BdXeXO\nO+7A5XJRKpWYn51gK51kbaNGLF5la0siFHYhiiKKUsHrdaDXJVqaPsrayjyybKWvu2tfNgO/P4zT\n+TCJ5Unq9QJ+XzvhUJl4QwaboxlVK1Apg8VSQZYt+56dJAkoyn7rqYmJicmbwayE9PYxBajJDcfj\n8V4Rnm8Vt9vD8rKd7m4RXdep10VsVqgrdsrlvdQ5smwhn79+/kaPJ8DQwH1XjqdnnqW7N4nd7mIz\nOUdnT4bNzTPs5udZW29koP8BZPlHUvEYVlLpJUQpic8nUlMSrK7Z0NQov/hLXSzMZ9lY32a3mKO1\nY4dwqJNqtUatVgZ0XJ41Xnh+jLWEwYWtVTTNglJ3s7ud55bbrYRCIr19MSDGzHSSSGyOaHSH/t4P\nEY/HyW534PEWcep2kukEzU17X4yBQCPdPT1899urNDWFSKeSaHoSm71Oc7ObclnixIk4Pp+Lmekc\nfX297Oysc2rqIouXl+joVLk8b6N/oIHdnQq1mopkTfK+D9Tx+y0IQhWLtcr4+GUODP/SNes6OjqA\nzXaZ6el1lJpGLOzg+Ik98QngcrlwOvxE4q9gdckUCnkiMYVEokIo5Gdzw0YoCIUdG3a7nc7O145e\nt1qtdHUeunI8NfOPDHd6AA8AoYDK7NwpctvrRMJXg8s2N2X6exrf6BUzMTExuQbTBf/2MQWoybse\nr6eH9fVtwqG9OuuFvIoohpDlPQGqKFWikTcWuIZhIIgr2O1Ocrkk/mAOp8OO329lfnaboRE/czMv\nMjJ895UxdlsDG+uLHD66lyDd5bYhShoTl4qMjor09kXo7NLIZi0cPjbJC89PUigauN02QpESx2+V\n+eNPfh+13okoBjEMDUXZwDDcvHxqGbdXoFSq4fVa6OyWuP0uK5mUk2ee+T4jI1VUrc7TT58iHnfi\n9jSRSKS5vLCDz9PG959Oc+ttMYJBF9vbJzl9uopkWUCggcyWQCxeY/FyGbdriGd+sIVhVPF4dW69\nPYyqFTh4OMWT39siFA6xuZbhfe/dJRLxUqsJCIJINOLgzKllbrvZf9317Ovroq+v67qfGYbBzu5Z\nfKEEkTgUi3421vJsbpSQJR83HW9gatzOQO+Bt/Qu6LqOxVIBru4btVhkAr5epqbWOX6sAV3XWVpS\nCfnvfIslOk1MTEz2yL5iBiG9XUwBavKuxmKx0NERZnenm3w+i8/npFbRESWRxsYImqZid+SIN7Ty\nvX89Tamk4vFauOmmgWuqI+m6jiTtpXpS6hlCjr39kpIkousKFouMIG7uG1OtbRCPjzIxvoTDobC9\n7USUqrR3uK6UAp2ZqTEy/B6mp57jpuNbtLbLFIsGghHmyX91YrWG2VirYeh1JLkOAtSUBUTRgSj5\nqFYEMltVcjtLpNMhopEOlhbLTE1+A6drixM3N5BO77CVmSG50cLRw79Ga2s3Vts/EgzuWWsDAS93\n3nk/F8f+hYsXV2ltUykUJeyOCHbHGhvrQYaGm9GMSSJRJwtzNRSlwMmbFaJxjfFLNRwOP6+cUXC6\n7Dgcdux2H6Gw9ycqeVqpVFDURZqaDarVIG6PiD8g0d6h8tg3szz3dCf9fe8jsfoKolhA1720tR7B\n6XS+7ryiKFKvX1s7PhQOsbN9lLUVF6Io093RjcViuc4MJiYmJm9M6Ej4Rl/Cux5TgJq867n7niM8\n8fhpbDYb7W1dBAIJ7A6VSLRGNCrT2jbC449dwm5vAKBSNvjm11/mlx46vk+ESpJEreYF9H3zZ7NV\nfN4WFEUll8tTLpcJBK4GLjU0RGhoiKAoKu1tIju7acYuLaKrKprmp6XpblZWv0dTYz8ORx3BkAgG\nZIoFWJy3oNat6LoDq1VG1RQwLFSVy7S3C5QqRQwM+gZV0skQ5bKDTGYchyNCpVIjtRnju09kae90\nEwwWGD2Yw+V9menpJax2Bbi6XcDptDE3XeLw8ToHDgQRBIGaUmVyPIGuR/B4O1hcyiNKCiMHrFSr\nblZWypw5JbO05OfkyRjNAyHy+SKKUsUwZJTq/gj1N4vNZqNYKiHLIoahkd+tIYga29s65VID99/7\n31hPPs7goOOHJVBLTE19nbbmD+J2v7412+08wObmWRoa9sSqruvMTOsM9B0xRaeJicm/CZlzpgX0\n7WIKUJN3PS6Xi488fC/JZIpyqUJzy8F9Ee/f+PpT5LaziGICkJDEMOFwK2fPTnPvvSf2zdXUcBsT\nE98mEg1SKiUol3U21z1Uq3WeeDxBcj3O7OQpBoYC3HzzIaKRQdbXvkNTsxurde/Pye+LEgx00d/7\nAADZbIZYvEwkMsJTTy5R6VQAnVrNQq1qwetzo+s5yhUHTqeMYag47AKNjT683hRen4jPZ2Nl0U65\nUqOv1086V0Srh3G6ROrqOhaLHYulhbHxRaLRAqubL7K5kaJYjuF0+vG6m/EH/IhygYZGF6pmIElQ\nV3TiDTZymRIb6yVKpTpt7QJf+0eJ3W0ftZoHzSjT33c/C3NLpNOXGRySMAxYuKyj6X7K5RIu11sT\nopIkUS03kkpdIhyt4PN5MAw3G2s1enuDTM88yc23Oq9YViVJZHjYzsT4ywwNvOd1525tHWBjw8rE\n2CSipKBrYXq6TmCx7AVo1ev1azIimJiYmLwVDMz0bW8XU4Ca/NxwvVyfqqqytHyWpuYmXn3da9UU\n6bSK3XltEvJAIILL9SskVse5dN6Cz1/F5RJ57vt1NK2V9vZBLBaZzXU4feoCx08cYnFxlLnZMRoa\nJIoljVTSS2/3XfvmFQQQJYFYvBWrbYlw2IYguKhWS6wsl4hEwuTzBVS1htWWJeASaWsrEo3bKZVs\nSJJMrQYut0RzS4j5uV2cjr0vQKdTQ1XrgM7kRIah4ccZPlDj4BEZTd3AZtPAqHPmJZlo1AcGnH5x\nh90dg64eK81NFuqKSjHfjNvt4Z+/DnZ7GEkyqFZEZMlPcsMgGj6E3V5geUnBbrPSGI9waHSYmelT\n+wK53iyHDz7M6RfP0NuvIwgqum4lHGrA7WxjcWkGQRje118QBGS58KbmbmzsorFx//7Ty4vnUNRZ\nbDaFasWB133IrGxkYmLyExE2XfBvG1OAmvxck0hM09kFterVNptdBnELu/36VXCsVivdXUfo7jpC\nqVTiC1/4J3QtQjzWgijuBTZZLDZWVlIcPwGdnYep1YbY2lrD4fAyOrw/OjIYDDE57UTVpxkYqrOV\n9rO+tsPkRJpSYZRo1EluO4vHV8Fq0ZCsVYZGt/AGDM6e0dG1GqGwBa+/iiTaWV3dRFFsaKqKbCnQ\n124BRJLJLJGIjsdt0NnpYHdXQFMd5LIKsuyjUJSxWBr5u/+1TCTcid1u5cVnyjg9qxj1EW774IN8\n5R+fIb8DqlMArLhcbnTdx27OSyDoYqD/borFXawWO07n3jYEScq+4XPY2clRLucJhRqw2fa2BYTD\ncfz+o+jaJja7Qr0mUS7F6e5uY35u+rrzaOq1+zvfDEtLY0RiM/j9dl7dlrCaOM3WlodIxIyENzEx\neWtsmS74t40pQE3eFdRqNZ75wTmSm3s13eONLu6888gVMfNaKPVdbr4lxneeyGK3X607bxhJRkbu\nv+4YXdf5wQ+e5+WXpkkmC+hakO1clkp5hobmAAP9PbS3N6FrV8fYbDaam68f8S0IAg7bKIuXn2dp\noc5qQiCXdSNKUdo72wiFQ6yueClXtohEVWpKhc5OiYvnSwhGAy6Xg2xml2h8lSM3iawlXPj8TlYT\n6/T0ellZUlFVHVEq8MCDBYolg2rVidXiweq2oOs2DDVET2+c/+/LK/h8nZTLKrWajlq3cfFCC4ND\nVZaWT6OrHcTjATRVQdc07A4Xm5sqfn8zNaWALMn4fXvrqOk6Ozsp0mmdznYFWb5WHCqKwszsd4hE\nc3j9EqvrOgJDdHXeBEAwMMjgQDOapiNJIoIgUCxWCfhOkEis09p61bW/slIiEr75dZ/3a1FV5n4o\nPq/S0upmYnzCFKAmJiZvmfBR0wL6djEFqMm7giceP0WlHMJq3Uv5k0lrPP4vL/LQh+9+3XFeTxM2\n+yIPvN/HuXMpyiUBtwda22M0Nzdd079Wq/F//ennSacCJJM1DL2JdHoBlyuM19tGYjkJRgZVrXPg\n4J44mp5eYGpyDaVmEAhaOXnz8DUR9ppeolJqZWbKhixZ8PncpFM7JFZWGB05TFOTxmrCQSY7TyBg\nZ34mSnd3B1aLjXKlzMzMGqVCGzPTO7S1lXj/B3dY33Bw7vSeK19TczQ2p+kfElhbLbGxYRAOO7Ba\nLdRqKi67HV3zY7d1YLNp5LI5wKBWg6GhOFZrhqGRLLph4Ytf2KCxIY4oSmxvS/h9/bjcJdpbj7G2\n+j2aW9zkCzlK5TlkuY6qCrxw+pO4nD20thwjHjuEIOxZiucvP8vwaBVZ3svJ6fXB5uYUqVQDsVgz\nHW23cunCt+ju3UtNlcmUWEuEOHz4HtLpBBPjF5GkMprmJBS48ycWi6JYB64NQBIF5Seaz8TE5N83\nmbM33gKqKAp/8id/wpNPPondbudjH/sYv/Ebv3Hdvo899hif+9znSCaTDA4O8qlPfYrR0dcv9vLT\nxhSgJu940uktcjkJl1O60rYnjmTS6S2i0ddOCNzQ0M74+Dg9/QV+4QMdFPJlTr24AXr3dft/+4kf\nkNkKIUkWVNUJhoEkNlIqbuBwOBAEP4V8is3NJL/7yG8wMT7L2bMZ7La9a9jOwT9/82Ue/ujt2O1X\nLW6i4GR2GsLhq27/eEOACxc2qder+P1hBgcPoGlD+Pw7TEy9QDzWAsDk82fQ1Q7sXjuFnSwpa4mZ\n6VWOnVSxSBl6eg2cThsvPLsX5X7i1gATF/M0NJZ56eUdzp7qopBP09neRqUi0NXVRjjciq7plCvL\neDwytdqeOBsZbeT4iRLJjVa8nhiCAEo9xS23DBGJNLK6eoLxsQvkS2OEAlbW1zWO3+zA67WQSi3S\n3Bjn7JkEw4O/hCAISFISWd5fzrShwcXkxCyxWDNOp4uhwYdZXZ0jUcsS8LcxOrJ33/F4O/F4+3Wf\nU6lUYm19DF2vE430EQq9fjlNVQ1iGPl96aJqtTqS1Po6o0xMTEyuj2Hc+CCkP/uzP2NqaoovfelL\nrK2t8clPfpKmpibuu2//nvxz587xh3/4h3z605/m4MGD/P3f/z2//du/zTPPPPOG5aZ/mpgC1OQd\nT7FQQhKvde9Kop18vvi6AlQQBIaHH2R5eYwzZ06zsGAQCpzEZrOysvwUv/CBk7jdV928U1Pr2O2t\n1Gp7wS41RUWSrCB6aWj0UKkU6ez00NffjaLUGJ9Yx27bL34kMcbFC9OcOHm1Oo8kudnO+bBaKiwt\nlahWQRR1IpEWRClJpVpDEgUam93ceefNzM2f2jt/rUaxYEeSRTTNQJaqCKJGOhUkm1lG12tYLAqB\nYBRvQKe93cLSok6lauGL/6vK2MU20Nvo7DiKWo9Tq3iYncnR1x9EUSo4HCIrKxk+8tHeK9f6wPtb\nmJv2USpq2Owyw8NXxXRLSz+plI9gqEgo5EKynMXr3ROvwZBIvpCltd1OMpmgoaENeK16dVdTXUmS\nRHv7wGs+wx9nc3ORUuU5evocyLLExvplZud66eu95TXHtLWcZOzSv9DXL2K3WygUqizM2RkaPPym\nz2tiYmLyKjfaBV+pVPja177G5z//efr7++nv7+e3fuu3+PKXv3yNAM1kMjzyyCM8+OCDADzyyCN8\n4QtfYGFhgZGR164y99PGFKAm73gam+IYxgLgQtNUFhcX2N2toql5BoZO0NX1+onQRVHEao1SKo7Q\n1RG40m7oHp599gLvf/9tV9q8XgepzRqiaKdeT6HrYeqqhCxrOBxurLYyvX0jWCwFXC43yY0kBhuI\nYh1dt+Fxt+F2+ykUrpb+TKXWyObOs7Kyxvf+VcRmdWOxgN8fwO0WuOlYP4cO7blCXr2P7p4ekptJ\nVFVDlnwIQoXMVpYTt2ooiojN6mR2Wue+B/zksiXErRIOu522djd2e51qMYCqeOjrdSHJ4HSsk0yv\n0dNziFT6Epcv51GUGpKU4oEHO+nqarhyvaWSSlNTK5HI1bYfRZIkRFGmUlHweq8KTF03EAWRYNDB\n5tomDQ1taFocTdtBkq5WHEqlSgT9x9/k09+PYRhs777M8MjVHw2NTR40bY7d3QF8vusHlrndXvp7\nP0JiZYJ6fQe7Lc7IcJ9ZCcnExOQn4kYHIc3MzKBpGgcPHrzSduTIEf76r//6mr7333813qFWq/F3\nf/d3hMNhuruv7wn8WWEKUJN3PHa7nZEDUcYuZpmdWUZRIqiqRFNzmNlpFaV2jtvvuOl155idXcXp\nCOxrEwSBdKqyr5LPHXce4vy5J1A1A6erSCaTplSxEgw40PU0vb1NlMtF3N4NXn7568i2SSLhPkAC\nVLbSU+h6P/2De0IokZjCYnsZUSpQrZZwOmMoNQlZdpFK7RJr8LOyvMPhw/sF9Ac/8GEe+5d/Ynpq\nhkJxG7tdIBw1KJXA0AXOnsnysf/sxu+zs3i5xPRklYMHIxi6QSKhEo8PoxsThCMBdnZErFaZpiZY\nX1tgdHSU+x+4iWq1wtLy0xw4dDWaStd1NtddjI5cX3wChMNRxiYcDA3D0opAPL7XnstCV0eExOoO\nAX8zAN2ddzB+6XEamgq43RaSyTr1Wh+9PS1v5tFfQz6/SzBY5cf3cza3uJmZmsPnO3H9gexVzfrR\nmvEmJiYmPyk32gK6tbWF3+9Hlq/KuFAoRK1WY3t7m0AgcM2Y06dP85u/+ZsA/MVf/MUNdb+DKUBN\n3iXcdNMoknSR+XkLDlcJRSmQzZbJ57fJZkWOnxjFarW+piVUEoXrlowUf+x4ZKSfwZEv8sJzNdR6\nCL/fQWdnEZd7naGRA0jiFvHmFR7+aD/LK+eQbVt8/0loa9vLJxkMyaRS5xka+l2mpp8hufUNGhoM\nvvvdEnZHgGhsm91dDV11EAxZUWoGhUKNra0tXC7XvlKTH/iFj3DP3SW+9a1/Zm5GQdMyVCvzCILO\n8LCNYt7CqRfzpJIWAr4jrCxVmBhLYLH40JUtOjtFUkkNiyWAoRtksjlK5W22cjvs7nYQjTYx0P8g\nLzz3T1SVS1gsGpVylKOHP/aGz6Ot5T1MTjxJpeohYc8iSi4C/gEURWVpwUlzk4VqtYrdbmd05CEy\nmSTpzW1ikbY3LKf5elitNrbz17ZXKgoW2XXtByYmJiY/BbbOvnH6uZ8mlUrlmoIarx4ryvWDK/v6\n+vjGN77BM888wyc/+Umam5tvaCDSO0qAKorCQw89xB/90R9x0017Fq2LFy/ymc98htnZWeLxOB/7\n2Mf45V/+5StjTp06xaOPPsrq6ioHDx7kT//0T2lp+cmsKybvXIrFPGtry7S0xJmdXUESGxEEkZoG\np09NUal+kYaGDrw+C8eP9dDSuj/CfXiki8sLYzid0SttmqbS2OzeJ0qLxQIer5OP/uoAlYpCZqtC\nqeRDlqPEGyr0DYqMjHYjyxKCUOfEzWFkOcPqihNBsBOJihw41M78wvO0dazhDeUJhirEGgw21jQE\no4VQR4BCwYrX6yWZnuDcWQfVigNJqtPa7uCee44jiiKLi+cRLZf46H9wcuniFs8+W0at2+gbXOf+\n99mQrTEKhSy6bsFhqyNLbiSLC6/HzsrSHE6PSmE+QDDgYn1jlUhURbKs88D7AxTKj1FN3IHFYqer\nW6epZc8lLiAwMfFdXK4PX8nzeT18vhCjvo+Sy2VZW5tDtm6R39bJ5XaIxUG2PcH6pkhd6aa/71bC\n4TjhcPxtvwcOh4NCPoaqFpDlq0FpCws6/T1vfh+piYmJydvBeK3t7T8jbDbbNULz1ePXsmwGg0GC\nwSD9/f1cvHiRr3zlK6YAhb2F+4M/+AMWFhautGUyGX7nd36HX/3VX+XP//zPmZiY4FOf+hTRaJQ7\n7riDjY0NHnnkEX7/93+f2267jb/8y7/kkUce4bHHHruBd2Lyb830zLO4PIuMHqry3HMvk9/pwB/Y\nqy60vb1LpWJna8tGZ0cj9Rp871+n+dCHnftcEOFwiGPHGzh/fg2l5kAQFGINEnfeeXLfuURRYndb\nxu3SmRjbRdM8SJJEpVJjcXGcPzzYCuy5p3XdjmHU6O5xYbUIjIy2oWk6E2N+7M4VBFFH0wp4PQ5C\nwTyHb/Jw6vltikUBSXSys5NGqVppbe3F49lz2W+u13j5pYuMjHYjWS/R0bGXvujI0WaOHG3micfn\nCIRqVCoaakFn8bITr9tLqZykVnPS33+cgD9GW6vC4tJLvP8DDi6dX6SzK4nTU6C1XSUaXada0zn9\n4hLRyFEOH9kvNAcGHMxMvcJA/+0A5HJpNlMXkOUKmuqjve3YFXEaDIYIBvfWcGXlEjffMo8kC+ia\nQTgM+d1lFhe9dHb+233J9fXcy9TkD7DZNpEtBqWil6aG+/e5okxMTEx+mkRuCr1xp58isViMnZ0d\ndF2/spc9k8lgt9vxer37+o6PjyNJEoODg1faurq6uHz58s/0mn+cd8Q39uXLl/mv//W/XtP+1FNP\nEYlE+MQnPgFAa2srL730Eo8//jh33HEHX/3qVxkZGeHXf/3XAXj00Ue55ZZbOHv27BULqsm7m0Ri\nhsbmFQIBD+AhEFhEqRoUCml8vjjbuR0CAReqcjWq2uGIc+H8HHffsz/QZWS0n4HBbrLZLC6XE7fb\nc835nE4nguhhYX4bw/AhCAZrazmyGY1AIMKtmQVLAAAgAElEQVT/+OxlPvG/Wzh4qIndnQDf/PoU\nmuqkUq6xvLxAY2Mjrc0jVJUlisUkLqefSqXEbXdZ+NY3tujtjTA3l8bpcrBbWOLwkYP7SojuVVhK\nEwxP0zdwrQWysdGJxdpLal1DkmUOjjZhtcpsJi+R33ER8Md+uAZWAv5+nnvmHFZ7nZ7+Cj4ftLR0\nIUsSdgf0DRQZu3iOw0eOoek66fQ8grgD6KyvB2htOUw2u8nl5f9JU5OKYQgIkp/5yyv0dj98za/s\nmrKM12unVK4BUFfrFCuLLK2OUasfQqCFnu6TSJL047f1lrBarQwPvhdVVdE0DVvr6xcjMDExMfm3\nJn2DXfADAwPIsszFixc5fHgvm8e5c+cYHh6+pu/XvvY11tbW+PznP3+lbXJykqGhoZ/Z9V6Pd4QA\nPXPmDCdPnuQTn/gEBw4cuNJ+++2371Psr1Io7KXIGRsb2yc07XY7g4ODXLhwwRSgPyeUK0u0B67u\nGbznPY18/8kyiZUiVpsXf0AgGIwhCKkrfQRBoFbTrjcdsiwTi712zkhBELjrztv5q//nSQRBZyu9\nTbXqw24v0dQ0SKFg5QffLxBv2ObF51VcjuPMzaXw+9qZnbSBFuTgaIjpWQfhqEA0FiWzlUXTivQN\n7KDUVG6+NcLJk14unG8jk25Hkvb/GWqagSRaUVUdq3Xvl20ut8vG5jx1LcduRiASaaCre+CKG3or\nXSMev5rTUtd1NjZX6OqtotQlJDGHy22lVishO/d+HStVGadjb52SqSniDRVkyYKq6rS0wfzCt9hI\njfHgL8gIwl7Qj6KUmJq4zEriFfr7bv2xxbvqkzIwSKUu0dwCyc0KwchllNo8r5xPceymh15z/d8K\nsiybVk8TE5MbQvQGW0Dtdjsf/OAH+eM//mM+/elPk0ql+MIXvsBnPvMZYM8a6vF4sNlsPPzww3zk\nIx/hS1/6Erfffjvf+ta3GB8f58/+7M9u6D28I769f+VXfuW67Y2NjTQ2Xq18ks1m+fa3v81/+S//\nBYB0Ok00Gt03JhwOk0qlMHl3Ua1W2d3dxev17rOsGexPk3P4SJz5uRXs9igN8W4EDAqFHF09V9+D\ner1GvGF/JaK3wk3HDnDulWnmZxRSqQz+gEE00oMkWQiFWtjJKvzV5y4gS53UFSvtrffgcOxZK9Pp\nDTRNw++9iUw6h2xNE4mE2co4EAjywPviTE8aGEYPzY02apX9ATm6rtHQ6KSlZZCF+TEGh2SSyR2+\n993TtHZYCAa9tLfHsdo2mJmZoqGhlVQqw+J8jJaWq5bA1dUkDudlmlsCuF0hnn56g5EDBhvrCzid\nhyjkVQQhgtfrYno6g9OdoFwWEAQbS5dtdHeNsryUpKU1iyBcXVurVcLry7OTTV+zbqLQQK22AUB+\nN0cwrLK1lUGUNBobPRgYZDJPMTfXQW+vmX/TxMTk3UvqTO5GXwKf+tSn+O///b/za7/2a3g8Hn7/\n93+fe++9F4Bbb72Vz3zmM/ziL/4ig4ODfO5zn+Ozn/0sn/3sZ+np6eFv//ZvX9cY87PgHSFA3wy1\nWo2Pf/zjRKNRHn74YWBPtFwvCuy1IsBM3pm8+OJ55ma2UVU7olSls9PNnXcdQxAEfJ5etraeJxLZ\nE2p2u4UPfDDON7+uYrFkGD1oZ329TCS894dUq1VwuXcZGbnjmvNomsbK8iq6YdDe3vK61rMHH7yd\n74jT1BQBm3UveEZRyvS0h2hoiJAvCjjtA1dKTr6Krgmk0+vs7M5Sqbr43hMiiCt0dks0NrqZGF9A\nZJTW5psZ6HNTrZ1idSWD3R6gVivi8Za55dbb2N0tMHEpyJe/9Bwb6wUOHgpTyHsQJQfHT1hp6+hk\ncekFqrUC8XiMo8eDnD6Vobs7QDgiMD29xOCwDZ8vjIBAT083p15YwEBhYzWPz9dOV1cbF3ftLMzN\nEgjvUK1aqVYqOO2NWG0ygqAgy9dmFXC5YWP1Wjd6T/cxZqaewuPfpF7Ps72e4fLlJHffs+cSEhBo\na7cxO/Uyun7QzMFpYmLy7uUGByHBnhX00Ucf5dFHH73ms5mZmX3Hd9xxB3fcce3/xRvJu0KAlstl\nfvd3f5dEIsFXvvIVbLY9S89rRYH9+AbcN+JHk2Sb7PHqmvy012Zyco7L8you19W8k2trZcbHpjl8\nZJjW1i7m5rfI52eIRgV2dzR2tqP8+q9fDTqpVCqcPz9NqVjC67Pg8VpYWn4Gu62RtrZBRFFkfT3J\nk9+7hKb6AIFTpxa4684BOjqvX4qxo6OZ99ynsLQ0S7Fgx2aV6OoO0NAQoVLJcf/9x3n6yXUkyU2p\nlMdud+JwOLDZy6j6M4wecgMeOrsHWF0tUyx42NkpcN8DUZTaOqde+DQ3H/9vvO99t5HJZFhZ3iQS\nbae1tZm5uUWe/cESq2sZFuZ0dC3M5YUCA4MePO4gFy/kiMQUDhyMEAkfwe3eq1IUjtiYHGsgm9ml\nWHSRzepEYypOp4Wu7hD1usJWJkss1oHNHmFyQkaWrLzvF1qZX9hkYHBvHk3TyaQSgBel1s7OzjaB\n4NUfelNTGkdG76JYzLGxOQZoeD0dtLX1ctPRDzE+McHLZ/6OcDTP/e/3s7mxzOamh77+BnI5kY4u\nC8XiLsHgjXVh/Sz5Wf09vRsx1+a1MdfmtbnRaxI99u/n++unxTtegBaLRX7rt36LtbU1vvjFL+5L\nsRSLxdja2trXP5PJMDDw1tKxeL03NhnrO5mf9tpsrO9cI0ScThvJ5BaBwJ5b+/ixe6hWbyGTSdLe\nGsA3st+9Hgi4aGy8jXR6nc30t+ntdSJJIsXiFPOzKxw5/CFeOj2L39f5I6OCnDmzxOiBnte0hB47\nNkJXVxNf++opdC2I1WqnXNnipmNhDh0a4fz50ywtpYiE/eQLCtu7Cnfc0cDI6NX7WcxnGBr2Mj+/\nxpEjXVfaj99cYyv9Iu3tv0og4KKnpw3Yq/QzNbnO9k4K2TJOLB4EXaZcVKlUclgtVpzOCKnUJQIB\nL7Ho1bXQNY1K7Xvcd99JFOUAM/MzJFZW6OzswOOx0dkZJ7nRiiT8AkFvE/3dDVwc+zJ+n4tQoJvk\nxhJt7XvPO1/M4XbdhstpUKueJ7uVQRDrrCWgvenXgR1q6gscPeZBEARyuXNcXtzk0MH7UZQF3vtA\nlLk5K8VShqZmB9mswdy0A6+rH0F00tAQflv5QN+tmN81r425Nq+NuTbvPJJnbmwQ0s8D72gBahgG\nv/d7v8f6+jpf/vKXaW9v3/f5gQMHOH/+/JXjSqXC1NQUH//4x9/SefL5Cpqmv3HHf0dIkojX6/ip\nr02xWKXyw6jpH0Wp19jeLu1rc7ki6Dpsb5colUrk8zkCgciVOuWzcz9g+ICFaq0OgCAKNLZs8+ST\n3yWXteByXT2PpmnkcnVOn77A8PC1gW6vIoo2Hvrw7czOXqaQL9PXP0woFGR5eYZ77jOoq35mZ7Zx\nuy10dft58fk5SuWrddWrNZXFpTTNLQI1Rb3aXlHJZKZ46ulvUi4XCYbqCIKAUguwvFSmUlkk1uhg\nc72GzWbFwMH62i7u/hLFooP1tSqtrf1XIs4Bpqen6e6Vf3j/InbrQWrKGN9/eonW1lbyu27i0ffS\n1Lj3A217u0SpqFMqq8TiMXJZBxfOr4Ggs7XRyaFDg2xsTrC8HMHlakRVwTAKWCwTvHLxAvGGKJFo\nL6IoYrNLOFyLJFaXmZz+Jk7vDp3dTtbW7NTDKqWiQnKzjZO3xJiZ9NEQNajV9j/fn2d+Vn9P70bM\ntXltzLV5bV5dmxtFzLSAvm3e0QL0q1/9KmfOnOGv/uqvcLvdZDJ7tVctFgs+n4+HHnqIv/3bv+Vv\n/uZvuOuuu/jLv/xLWltbOXbs2Fs6j6bpqKr5x309ftpr09DoY3K8gtVqv9KmqnWamj3XPa+u60zN\nPIXXt4HfL5BYB6XaRX/frQjiNrrm3tff6bBSqaXQ9CY0bW/TzsrKOhvreaqVOoViikQix733nnid\nPYkCvb1Xa+Zqms5ufo7WDhu6ZuXkyR85p1hC165uDopFG5mYnCIckTF+eDuVap3pqSQdHQqiWKTZ\nWWBt1c7I8CHq9RR//6UZwhEnbpcDuzONprpxuaw4nQ4WF/5/9u40OI7zPPT9v5fp2XfsM9j3jQRJ\nkRIpapclWV4kR7ZPbCdOOcepm9QtxSk7VUnq3kqcSsVWzqc4TrmSqsQ5x06dm5PEceLY0WJbu0iJ\npLhh33dgFgxmAMy+dN8PQwIaARBFgRRJsX9VKhE93T09jeHwmfd9n+dRqayUuav+17GYZ0qeK53Z\nQBL9m9v8vg7iiRpmJpco5I5RW9NGZaW/5L4a5GZWIxdxuUy4XHZcrk6WlxIkrH5CkX+lpc1Ka7vA\n5GSYhfkQ9z/QTiqVpKpGwmiM8vqrb9HQ0EhVdRker4GXXvxbLLYFqqptaKTJ5UwkEhJmc4GFxRhD\n/WW0t9132/590z9rdqffm93p9+bmE3hLHwHdq5suABUEYbMzzQsvvICmafz2b/92yT6HDx/mBz/4\nAT6fj+9+97v8+Z//Od/73vc4ePAgf/3Xf30jLlv3AR082E0o+AbLSwmMRieZ7AZlZTnuvOueHfef\nnDpDa9sKZnMx6HO5YG1tmtlZL4WCsm3/QkGlzFvNnDkJuIhEVllYSKEYnJjMS9T6DxBYyvPmyfMc\nu7s0M1tVVaLRKIpiwG7fvq44mcxw+q0A8Ti43AIHD1bhdjUyOhKnrd2KIAi4XHYS6+30n1/gyF1p\nshm4eD7K8XtrWJgTsTkSeD0WnM4CU5MztLU3c+iIxvCgRnQ1y/4+D4MDS6zFknjLZQS1iv/+1S9j\nsVgYHslgsc3hdsPqKgSXKzjQ5y+5RpvVQWVFJZ3tD+54Pxsb9zExmWZpcRyzJUsyYcZo6COVfglL\nZp2xMZGa6lpgjdb2ELl8EwaDQjiSwWBYweZIY7UXmJiYZG1do7u7hf6BYgkpWRYpLzdhMEjEVl3U\n1x2nu+uh9/Gu0Ol0upubxs5tn3Xv300XgA4PD2/++e/+7u+uuP8999zDc889dz0vSXcdiaLI45+4\nh1AozNJiiKrq1pLC7O9WUOcwm0sDTafTzOL8JIqhhY31ceyOrXJE42NJav19eNxpfvHzc8zMBFFV\nC3l1iY6uRkRRQhQlZmdDHLt765xLSxPENt6kvDzLehymZ9y0tX4ck8lENpvl9VeD/PKXZzCbPLg9\nIg2N5YwMTbF//xEqyg4x0H8GWU6Sz1s5etfXWF0NcPHsL6mtk1AMQwQDBmy2GizmGQCMRomCtgbA\nJz/VQXB5nGwuRTC0zp1HVTq6RSbGvDx43/+92YWoq/NBkskkGxtRqso9WE0R5uZ+SV3dVgH7ubkE\nstTKyOjrSJKRWn/v5pKFQGCO2NocZpOXhvr/Rj6fx+gzcvLNH+FvHKexwYmqasxMn2V5SeKuuxXW\nYyt4vFXE4xt0dkvkcgZMZpmObpkf/2iUu4/dQ3ilkYH+OcrK0lgsIuPjBey2bsq8W6PIOp1Odyur\nOuK50Zdwy7vpAlDd7amiopyKivI9nEGjpfkIE5MwNzeJKGYoFFxUlD2KzWbHZrPzxS99DPgpazE7\nTmdbyZS7qm5NZSeTSRKp1+npsQHFYM3nzzFw8Rf0dH+Sf/j+P3HxwirrMR/rQoJ4XGVp6SweTw0O\ne5a+/R6czkdKrs5ud+H3t7KyEkIULfhrLGRzOdY2prlc9lRTL7dTy/HFLz5NIDhELj/H6uoqa5Fm\nHn/0sW3LBCwWy2Yyj9nsJxC4j9dfe43RkQVSKSOSAI8+forGJhf5fIGJ8UEctvsJr/RTWx+lq9bC\nxsYMQ8PnaW15kvX1KOWVQTzuYhAvigJNzVaWFiMsLcm4nEaSySR+v5eN9XUWFjIoikp01UBPTzuL\ni0FqalqIrWWwWUXSmTwet4n1aAPdXb17+P3qdDrdzSPw1o2vA3qr0wNQ3a1FqyKbXUBRtt668XgG\nxVAcXWtpPgLsvAZYEAQOHGznrZOrRKNB8oU0TkcViqJQXbOVkb2w2E9LW+nidlEUsdjCnDjxLJls\nGLNZxGYXURSJeFxFEGtpbfMQCJ4jmXxgxwxvSZKorKwmkdjP2tpFnE4zhVw5ydQKibiG09HExnqG\nlVAVeWcIm7WKmppj77t1ZSy2ytjYRU6cyFJd+RgmQ4505hxvvBbB57dhNBro7LLx/HP/zD33+jav\n0W43sa9PZXDgNWTJSXtnOUuBRRwOFUEoBrxNrSZeeVHhkUeNyHIxYI+s2Gmsv4OqS18cYtEo4xPr\n3HlXA4p8gMWFWWKxBGruLg4f/pTetUin031k6COge6f/i6C7pbQ038XQwH9RWb2K221kJZwhEqkm\nlRB4+8xLaAhUV9s5enT/jgFPdbWbPP+CpJhx2VwEg+MoipXPfv43NvdR1TyiuH19jyBoBMP9OBxe\nDIY4GmlMZgOKohJPiCSTaZpaDMwvnKe97diur6GpaT9j40mWl8ax2So5e0omnTJSXV3P9JSG3TFP\nlS9CoaAyMv4mFd4HKS/3ved9mZg8hdkySHQtTF1dJeHQGWJRGbcnTiBQ4D9/coHP/MpBJEnEZgsi\nSTUlx4uiiCRFMBlrSSZzVJT3sLg4gqLEQYCpcZn77/kGibUEy/EZZmbmuPe+euz2rUA7EDTS0/ll\nBi++CYJModCNv3ofPl/re167TqfT3WqW9RHQPdMDUN0tRZZl9vV+mkgkyMJsCK/Xx0hgjIX5PAZD\nsWXk7HSe1chrPPHkA9uOX1x+lf/rt9uJRDaYndng/nIromBgYWGSXH4Vg2zDZq3ln//pRQTBhEER\n6Oyy0NlZQWzVTEengzdPbODzm1lYXAWsiJKIpsVQFDd3HC5nNbK9rNS7tbUeJZ8/TCgUpKvDhtPp\n5PXXz3Dy5LN4vVaGBqPcccRBb28ZFy+8TFnZFzeT894tHl/HYBykts7Oyy+uIEkCLpfAwmI/ja0O\njIqMJEW52H+anu5DpDMS4qVR1Wwux9paEFGUKBTK8fvbGBx+m74DRnzV+8gX8uRyeaxmF5qmYbW6\n8fmaqa7cz9TkC/j8cWRZYGFBotxzH35/E1Zr5baM3Xh8A1k2bK4/1el0uluZnoS0d3oAqvtQpNNp\nZmbmMZmM1NX599yG0eutxOutJJlMMj2VxGLZSlySJJmVFQOBQLAkoSmdTmOzrwN2vN7ifwBLy6OE\nVv43dx/vI5HI8L2/niCf6cRqX8PtNvDyL9e5eH6Ghx/6DQLhn9PQtM7yghW/v0Ams8baWoLa+hwf\n/0QjJpMBm6X23Ze7TTQaZnH5JTyeBBtJeP6FOJPjVfj8PhSlWLLplRcjOJ0bVFVDJLJCWdnOa2SX\nA+O0tBUTj8wWjWwGVlfDdHXZiG/kMbgl3F6Rnl6R8bEpJKGHlVAWxRhCZRZPmYH1WJalpRhVFWHq\nax/nuWf/DrN1DrWgEQxYaGhsRjGHSafh4oCDlqbH6On6AqHQEhk1T3uLH6PRsO3aVlaWCYRexe1O\nkMuLxNfLaG352GY3M51Op7sVVd2pT8HvlR6A6q67/osjnDm9gCi6KRSyGE0jPP6Jw7jd7j2fe319\nHVXdHswoBhvBQKQkAJUkiXzuXcdvRDFbw5Rd6iU/PRWlvMxHOJTBbj1EJBxEkmpJJVTS6QSh4DKi\nPILJplJWYcRqy9DVZeHu4w+wtpZmZspLb08z70VVVRaXX2DffiNQDIJPECaTWUbTbKytJUilkpjN\nZi6ci9Czz4PhPQJ2g2whlcpis5nY12fntZfXEKUsGgImpYZQaJh7HpCJxfLMz6ncd/xXmZo6Tzj6\nv2htNTA5kUXNl/HIo230X3wFUSjn/gdqMRgayOWyrG28TXB5HJfrTiRJpLpGpf/CL+np/jSVlbsv\nDchms4QiL7BvvxUolrEqFJIMXHyB3p5Pvec90ul0upuZPgW/d3oAqrtuVFUlmUzw1ltLWC2Xe72b\nAAcv/vIcT31259qU75ROp0mnUzgczh1HTV0uF7Kc3rY9m13D5+8p2WYwGEilKikU4pt9hBOJMPGE\nRm1dsSf8ykoWRXGgGNNIkkR5eXF7NDbH9Oy/s7yUIxLpBC2JJoQQRT8ux/0MD+WxWWrp7WkumSpX\nVZXz54eZn1u9lFFegdMp0dBQOkWdywqUVygMDEzS0SlT7TaQSKwzOhbC463mwP7du27U1rYxPPY2\n+/ZBW1s5ohDhv362TCZrpKHBzpN3HcLhUBAlEV+NB0VRECWBo3cdJ5POU15mwGAofhQ4HGusb0Qx\nmcqK9yOyTEWlEbu9wPz8Mg0NPgRBwOaIkE6n33NKfX5+iJaW0pJZkiRid66QSqUwm/X2gjqd7tZU\nrY+A7pkegOquuUAgxIk3hohFs8wvLoDqoLW1oiQwi0ZhdXWV06eGCSwn0TSNqmor9z9wCJPJRKFQ\n4MUXTzHYv0A8EcFoitPd3cDHPvYEBsPWVK/JZKKtw8346AZGY3E0MZtN4a+VKSvbCto0TWNpaRpR\ncHPqzTWqfQmMRo3BIZX2thYsluIoamWlkenJNIWCCAhEo0Ey2XWi0UFmpkEUaikvE1AUmWy2iamp\nOZqbj+w6pfz8c28QClpQlOKH1em3VrE7lvjkk6WZ7Z4ymJ+P0tjoJZ/fIJ3Joap5GpsLqIX3/qCT\nJAlf1aNcvPAqdsc68XgBt8dFd7eTvgN1m4H73Fwci6me4ZGXCYZGQFynra2hJLBPpgrYbFu/Jw0N\nQQCr1UA6ldzcLorF4Pq95AtpFGV7Br9RKXa7Aj0A1el0t6alN/UR0L3a20I8ne5dUqkUz/7sPJl0\nOWazD0X2EQ4pTEyMbtv3hedPsRK2oyg1GI0+IisOfvqfJwB4442zDA2sYrau0dJqoba2gsXFOd44\n8YNtgc/ddx/krmNebPYoFmuUfX1mPvbI0c3Hk8kE/QP/B7vrDbp65vHXpgkHq1CkJzly8PdIJuyb\n+7Z3lKMYQ2TTVpaXL2KxzuD2LNB3eIGJ8Qi5XL7kuQ2ym9HRyZJt+Xyek2/+B88+9z94++0zRKOL\naFqxzqjRaGdlxcLEeGkf9HvuqWR9Yxq73YnT0Ug65cFml3ns0Yex2pIl+yaTSRKJ0uPd7nJ6up4i\ntlqHw2ngS792EI9X5IUXTnD27TAD/RrRlWYK2knaOgO0d4ZJ507w3HP/zODgEPl8AU3TyKTLSaW2\n7ofLWU1kNUswmMb7jjWo62uOHUtNvVN1VTvz89v7va+uWnbsLKXT6XS3Cu06/He70UdAddfUxQuj\nGAxb6y5raipYXJggHE7R0qIhCAKapmEwbBCPu7FatkbIRFFkLWYgFAozMxND1UI4nVtTuDabl1Rq\nmfn5UerrO0uet6OjlY6Oncv9TM28wr4+EVEsjrjV1tmx2sIk1mP4fE3Y4/cz0P8mTmeSdFqko7MP\ntCgGZQmzRaKnx4EgthJYXGQlHMLn31r3mC+UjuJtbER55bX/wfH7kkyMpfCWVyGJ0ywtp/DVFJcE\niIKdVKKNiYkpGhosqKrG0pLGY48dwOlMsLaW544jZlpauxFFEU0r3qN4fJ3pmV/idMcQBJiasVPn\nfxCnszhCGgwuUOOfp7KyuLa2oaGZhoZmLpwz0NXxBEMjP6K1zcbC4gVqfFnKKuooK19idWWC11+L\n4XIdo6XpMVZXF5idfZO6Oismo5nFxXImxmPce6+FtbUUoyMFFLmZycnz+P2du47+OhxugqFu5uYG\n8fut5PMqE+MZyr1XXnqh0+l0NzN9Cn7v9ABUd00lk1kkaasVpKIotLSWMzIyyMZGFEnScDhz9O5v\n48ypjW3HS5KJ9fU42UwORckDWwGqIAjFdZzpINC57djLcrkcqVQSq9WGJEnI8gqiWDpa5/FYWF6a\nxEcTVVUNVFU1EI/HKfcqKI0KZvNP6OreCi413IjSDNlccUSvkFdZWsxitbhpb99KOuof/A/uOJLC\n67WSbRDov5gln1vFaFJIp5OYTBZEMUN391E07TATYwOIgoE6fydGwxQu79u43VvPu7aWwqTsB2Bq\n5nn294EgFEco6+vh/Lln6bF/AVEUWY2O09JmZHh4BEFMohYkvF4/JrORbDaLwbBBMiVgdySQJBOS\nZMPvayUcEKitq8XteBCr1YbV2kE0WsbQQD8IOazmX+H40TqW5qeIxcLY7NM0Ny8AMD11Aav52K61\nPltbjrC+3sro8AiSZKSxvlvPgNfpdLc8fQp+7/QAVHdN1dVXMDMdwGTamsatrCynxtfB3cebMRqN\nlJV5SafTnDn1BmAtOV7T1vH5eqiqmmdsrHSFSCqVoNpnQDHsnJCjaRpj428gSlPY7QWWgwYMcg/a\nritNStcn2my2rXOpMpDd/FlA4LOfO8D3vjvF1KSIzWrH6Sjj+L1tmwFVPL6BwbCMy11co1pdbcFb\nFmE9Vk0mHSeVSiCKAo3N1s0EnLbWra5N9fVdjE+sEwqO4XDm2ViXKeSbaW/bRyQSprIqvhl8bh7T\nUCAQmKOmpoFCQWB4+DSd3RqqlkdRzASXRwgEamhulMkXDGQya1hsW/ejkNewmp1UVtqJhCK4XMVv\n9W53GW53aR3V2tp20rmzdHVtXUNHp4GhwZPk843IcmnC0WUOhxuH4+iOj+l0Ot2tqOYufQR0r/QA\nVHdNNTXVMzoyRzAQx2SyoaoFMtkgjzzag89XvbmfyWSid38FF86tACby+TyilKevrxyz2cx99x9g\nYmKUaHQDt9tOMrlGXUOKQs5PXcvOo59T0+fw185idxRHO2t8EAxeZHnUQDabL2nfuTAfp6Lsnl1f\nh8fdzfLyK1RXF8+VzeYZH4/Q1dVDT89+KircuN1lCMI7g1gBh9NBOBTA2lgMQj/1hJsTrwd4/VUT\ntb79tLUbOXSoZ9vzbWysUygUaG25i1zuEPH4BnV+G4qisLoaYmzslxgtg6yveWlsatx8LUajRDSb\nunSNGhbHHCoSiiKQzmhY7DbSGQeiKPkLVzoAACAASURBVCKLraiFQeIbKqZLg5BjI2kaGupYXs5S\n4d29pNLKSoCh4Zep8o2TSjVjNm99cfD7IRCYpaFB73ik0+luD4v6COie6QGo7poSBIGPP34PExPT\nzM2FMZkM9PUdw2q1btu3s7OR9Y23iEaXMRgEnG4XNb5HAbDb7fzu1/47L7/8c8IrI3R0WnG5umls\nOLprT/Fsbgq7o3R6t7LSQmDJyPCQjMMZwGrViKwYMCoHqXlHjdB3q6ysZ3b2IIMD/SSSYX7x/DoG\nuYuqylZOvLHMvffKVFRUl3T8sdlsZDOVqGqE9fUNHA4DsixS7ZN57NHH2b//kW3PE4+vMzXzAl7v\nOrIMA0MWqiruo6ysGKwHAtNkC69w9B4LoTCUlcUY6H+bnu47kGWJ+bkcdf4mACKrF2hsKWMtFsVq\nU8llIRZLYrOZUVWV1pYjTEzC3MICHm8QxeDA59tHKlUgnWzBUrtzUtH4xFvYHUN0dueRlA1SmQsk\nUw14PcV2nvkCyPL2IvQ6nU73UXU7Jg1da3oAqrvmBEGgtbWJ1tam99xvavoXPPQxJ4Lg2tw2NvoG\nyaQPi8WCKIo8+OCjwKObj6+uhpiefQ1JzAIeGhvuQFGUS8+bZ6e3tMEAft9xLl4YQZTgwIF972sd\nYn19D5rWzQ9/8Cx1/rrNMlI2ayVnToeoqq7AZivN5rZZuhkeHSMUlHE6c0RWwWb5OHce2R58AkzN\nvMD+Pg1BKJ6nugb6+3+By/UFZFlmNXaWnt7i0gCT0sTq6gTtHSJTk3NIchkG6Y7N1yKIKewOJ4ri\nIpnKYrJJeD0Gpsbim6WWWpqP0NJ8hIWFceKJSZYXNWzWFjradx69jMfjGIxD1PjsaJrGxX6JvgMK\ny8tzFNQqJFFkfk6mp+vK3Z90Op3uo8KnT8HvmR6A6m6IZDKJwxVFEOwUCgXy+TyKUaGp2czk+CCt\nLYe3HXN5NPByQJbLzTHYP09X51PIsoxaqEBVVzaDLQ2NZDLDyDC8/uppTEYv+XyW8dFX+Pgn7qCs\n7MofIIlEnEzajMFW2vfXYilneHiaw4eLCUL5fJ6hoZ9RUxvjscebmZ4KMD9r555jv4aiKGxsrLG0\nPIIsWTAabahqFpPJTXn5+mbweVljo8Di4jj19Z1I0gZQfL0uVwXZrIvY2hKzs0buPPy5knWrlRV+\nRobC7OszYrUUC8SHQmlEsX3b6/L7W4ErT5mHQpPUNhTPJQgCDfU9XDg/hMUSZy26RDpVTa3vkV37\n1Ot0Ot1H0cJJfQp+r/QAVHdDaJoGgsZyYAxJiqAoKqsxBcXgR1XrdzzmnaOBAAaDTHtnltm5fpqb\nDtDUeIwL5/6D5pY06ewyK5F5Bi8WGBpooaKsAskiI0kyYOHll87z2c9duRyQJMkI4vbJFlUtYDRu\n/fWZmHyTrt4UilJcatDa6sPvz3LijX9BI4wkL+KrqWZtfQ6zmmctVsXbp9PY7Qk++el9lJVtJfYo\nikw0GiSenCMYHsLpseFxN2AyWlAUBY+7Fr+vtiT4BJBEP7X1KoP900hyClWV0ArVNDeWJhNdycrK\nMqGVU0jSGpGVOMnMGvv2FYNVp9PGvt4jDA0EsFk/TWtT3VWdW6fT6T4K9BHQvdMDUN0NYbVaOfFW\nkAcfjqEoxSlkN3Dm9BDl7p37hL9zNPAys1khl18BLiU29XyOEyd/jM2epLqmi5qaJNm0h5XwKOl0\nHyZTcZ3jWqw4CnulYupms5myMhgemieZzGEyyTQ01CCKa/T0HNvaUQiUJDkBRFZHsLtitLTKeDwm\n3j57grJyD0ODIqPDGSor2hgdHeF/fX+Cu47HaW6xIQpuFucNGJR1evd5sM/UYFDmiK1dwOXcj8lo\nYXg4TXPDwW3X2tpynOGRZ6moVHG6FEKhLKlEC7W1be/5Gt9pYyNGdO35S4G+BQ0z/f1jTE+baGws\nTrMXCirZbC3+dj341Ol0t6cFPQlpz/QAVHfDOJ1ehgdXaGgsoBgl5uezeNytbMSngYZt+xcK2/uO\n53J5xHeUJhJFEW9Zju6ebgDmZxdQVZWycoXA0jxVVcXp6Gh0mfHJn2E0CmhqGU2NR3dcF5rJZFhb\nSxKJREgmZDRVIBga5//5f59CUZR3JCHJwFaXpPWNKG5Pgvn5JG5POblcnoYGkf4LQZYWOrHbRQqF\nAqJoIJFYY3w0y5E7c0yMzzIwIPLrXy5m6Dc0+JmbE9nYWGSwf5KK8ruo8z+0Yw92g8HAvt5PE41G\nCAdWKPP6sfq3J3+9l4XFc3R2bwXlAgLtbXfw0kvDZDNuNE0gm62ko10vJq/T6W5fehLS3ukBqO6G\ncdhNdHTeSWA5QjaXpdZXgclkYHAgu+P+FlM34fA5ysu3AqSRkSzNDX0l+4lilstv7d79FfRfXMRs\nrgShAEAoPI2/YZoDBzsAKBRCXDz/Y3p7Pl/SFx3g9OkBJLGWQ4cayWbTFAp5bLY+pqZC+HxbiTcG\nuZ6NjSHs9mIQm0yuYrEIGBUPakGFSx2gYjENSTSRy2tks3nsjjyK4iOwlGSoX6a1bT/p9GlisTgu\nV3G0t66uBqhBFGQa6x9iavoUCCtoqoLH3UtlZWkCkNvtxe3euVbqlYhiets9MBpN1Nd10tTwBQRB\n2Pa4TqfT3W78+hT8nukBqO6GKeS9CEKSGt9Wj/GN9TQWU/eO+zc09DI3JxMKjiCKGfJ5546jgfmc\nE8gBxSn6Bx5y8tKL88Q36plKnkSUz3DPfQ0UCgUkSUKSRFrasju2+FyNpJCkYmtLRTG9Y3u6ZL+m\nxj5GRtcxmmZwugrMToOi2Ond10Y4fJqqKhPptIIkJVG1PKsRyGSmsDliSJKEyZyms+sAimLA5bIS\ni61tBqBQXDObzRgZHvk3evcLyLIE5FlceJGFhbvw+7cnGn0QolhGJhPDaCwtq1TIO5AkaZejdDqd\n7vYyr0/B75kegN4mCoUCb568wMLCGpoGNT47x4717VpT88NQX3ecC+f/k7Z2AYvFSDicYHG+nN6e\njl2PqavrZKc2nPH4BotLA4TD8yCs8tLL/Xi9Fsq9jZSXO2huqqGzO0Zjo5Fc3kSNL8ryUpSqqgPI\nkozdbmJ+Nrzt3EajSCK+/TqMxtJRQEEQ6Oy4j3T6TuLxOD1dVsbG/x1JlDAZ21lanCKfsxOLZpmd\nXcDhqMJiVcjl7FitAm0dMVZjc1RVNJOIe5mdXSKVDqGpEl6vj1jUiFqopL1rFVneWirg81sZ6D8P\nXJsAtKG+j6GBKTq7c5hMBlRVZWw0RVXl7kX7dTqd7najj4DunR6A3iaef+4EkRUbslwBwOx0jljs\nDT796fve87hoNMzC4gCCIFFT3Y3D4d62j6qqmwk9l6dniwHhBVQ1h9vVTFXV9oQVm81JV8evMjc3\nTDa3httVz77eq68nOTc3RIG3cLqSOD3jGE0iuVwTAirzc4sIaheesg327bejqiqjoxKyLFHjKxAK\nzVFV0cT6WhqLuWLbuff3NfOznw6VPJZOx+g70LxtXygmQl0ekW1rfZLBgdeRpAKqeohMupxPf+Iw\npyp+wmpkmHjCSiSyga82xoMPewkEV0gkfExNrnH8niYy2WUEMcv8/DQm+QmM5hQWy/Z1qoqS3BzN\n3SuDwUB311PMzJynUFhBVc3U+g9is9l33H9tbZWFpdPI8gaoFlpb70ZRtr9HdDqd7qNET0LaOz0A\nvQ2sr6+xtJjHat3q1S3LBkIBWFmJUFa283rBkdG3yBVO09VjQdM0ZmfHiUYPU1+/1UryzJl+hgaD\nZDMSRlOB7p5qqqvNJNOv0N5pRRRFwuE5Bodq6e7anrgiyzJNTb0f+LXlcjlSmTN0dtkZHJygZ19x\nfWggsITXc5jKikYG+5OI0gagIIoiRmMNodAiFRUmIMHU5ByjoyHq62UGh+eor71rs8B8VVUlDz2c\n4czpSTY2cpjNMnceraezs4VoNFFyLZqmEQzOE49HKC+vx+n00N35sW3XXF1TxsOP7L90TBNTU3OM\nDEdYXChgkIw88EALdocZKP5eqipgoH8GSWwlnQ5iMpVOj2ezpms6PS7LMi3Nd1xxv42NGIHQT+m9\ndM9FKUUw8ByCeg+eS12SdDqd7qNIvfIuuivQA9DbwOrqGqK4vdyQwWAjEonuGIAmk0ny6gX8tTbU\ngoYgCDQ22hkeOks+34Esy4yMTNB/MY7JWI3h0jvpwrk1QuGXefyTW20uy8ut5HNzRCJBvN7d219+\nEOHwIjWXWphLch4oBmIut8D6+ioedwWilEFVjVzOW2xqqmdxwcRA/xL9F6LsPyDxyKMHkCSJUHiA\nk6eeo6ryEJJYTXPT3TQ01NHQsDWCK8vbk3AymQwjo/9BXUOKimoTgeXzLCzW0d310LZ9reY61tfO\n4HCaEASB5uZ6oJ58xoQkWbE7ItuOsVgzeF3tjAyPsL9P3iz8Hg4nMZv27+0mfkDzi2/T3WMu2dbU\nZOXUm+f0AFSn032k1epT8HumB6C3gYqKMjTGeXcNzXx+jZqanbvhBIPTNLcZUbXSYhOVVSqRSJDK\nSh8jI0uYjKXBqyAYCQQiQGmgWV1jY2hg4poHoIpiJp0u4HRCIW9G0zIIgkA+pyLLCqqqUsh7sVmr\nCIdPb2bQ+/yVpMatNDfn6OwoThkHQpO43Ss88JCB2eklmpsNXDj37/T2fO6Kmd8TU6+yrw8kqVj2\nyF9rx2pb4NXX/j/KK4ptQgt5L/V191Bb207/wBS+2jDl5VZSqSxjoyoNdQ8TDs+QSi1jNisl50+l\nZGx+Gy1Nn2Fw4CSSFEVVDdgsR2hs2H3N7PUkSYkdOyCJUmKHvXU6ne6jY+4mmILPZrN885vf5Oc/\n/zkmk4nf/M3f5Ctf+cqO+7788sv85V/+JbOzs9TV1fG1r32NBx+8seX09AD0NmCxWGhrdzE5voHR\nWFzLl8kkaGq2Yrc7djzGaLQVC6+bS98iqaSG5VIx93x2+ySELMtsJLZPB6dSWRTD1dWkfD/Kyiq5\n2G+lokKjvr6ZgYtn6ehWiEYNVJRb6b+YpbnxCBaLldlZlWBgCElKUSg4cDvvR3W+BEBBVRGEMCZT\nMfArFFKIokhzS5rFxYkrFnOXpBCSVLo+c3l5lobmDA31BwADmpbgwrmf0N31q+zrfZxgcJ6hgVli\n0Q3sdpGFxXOUeTsZHRm81B++GNxFoykUuRNBELBYrHR1PHzN7+NuCoUC8/OjpDNBFIOXurquzcS1\nQt5W0vr0MrVg2+lUOp1O95FxM4yA/sVf/AVDQ0P88Ic/ZGFhgT/4gz/A5/PxyCOPlOw3OjrK008/\nzR/+4R9y77338uqrr/K7v/u7/OhHP6K9/doksH4QegB6m7jnnkNUVEwyORFA06CxqZyurt2Dqurq\nOsYnz9DaXtjcpqoq4ZCLfb3FEcOKKitzM/lL7S232B1lpFJZxscjhII5HA4JSbbT07lzeaW9am76\nOP0XXsRq30CSOnnhZzGqq1qIx2poazmwWWC+vr4bKL2GoZFiUJzLZTGZigF1MplDUcoAcDhNLMyH\ngCt1EyoNwrLZPAbjKkbT1oeUIAi0tGnMz4/R0NBJZWUtK5Fx2rtCeL1WNE1jfv45jEovA/0RJGkV\nTVMwG/to3sM62Q8qm80yPPLvtLbnsNmMJJNLDA0P0tb6GUwmE3W1dzA8/GO6uiybwfLERJzKiqtr\n/anT6XS3mhs9AppKpfjXf/1X/v7v/56Ojg46Ojr46le/yj/+4z9uC0B/+tOfcvToUb70pS8B8KUv\nfYkXX3yRZ599Vg9AdR+O9vZm2tt3zt5+N0EQ6Op4knPnf4pBWUHTBDLpctpat9Y03nXXfpaXXiGZ\ndGIyWslkElht6zz62Bf43nf/J/mcjNFoIp1RcDhstDSmMRgM7/GsH4zVaqen+wnS6WJtzvaW7V2C\nduO0H2Bh/gQ1fjOxNQmrtcDIMOzr9QMQiSRxOt5HZr5WSyYzv1k/M5POUShksZhLlxzYbCbmMsUP\nrmh0BY93Dq+3OGIoCAJ1dTaGBkfobP/CDS/4PjV9it792mbZJ4vFyL4+laGBE3R1PojN5qC25kkG\n+k8hy3FQLXR0HEeS7O/oEKXT6XQfPTe6E9LIyAiFQoG+vq1GLIcOHeJv//Zvt+37mc98hlwut217\nPL5DjcEPkR6A6nZltzvo7XmCVKq4rvLdNUMVReFzn3+I8fFpQqEYVVVlNDffwVtvnafcex+iKKFp\n6qX/a5w40c+jjx7b5dn2bqf2lFfi87USDlsZGrjISrgWo3mFQ4e6kCSRdDrH/IyT3t4r9zxvbTnK\n8EgCu2MJu10jHBIJhvx0tJWukQ2FEnjcDcU/hyfp6Nq+LMHjzbK2FsPtvrFTPIK4cqng/RZRFBGl\nrW/+NptzM9NflkXcbuu26gA6nU73UVN3g6fgw+EwLper5N9lr9dLJpMhGo3idm+Vw2tqaio5dnx8\nnDfffJMvfvGLH9r17kQPQHVX9F6jlqIoXhpZ3doWCiY3uwcJgnTp/wKrkcx1vc4Pqry8hvLyGuh4\njKWlKcZHRxDEPJJYT3f3QdbWogSCw8iymbraHmR5e6ArSRI9XY+SSCRIJhM0NbgxG8eZnztFbV1x\nhHNjPc3yYgW9PcW0fbPJRXxjHLuj9HyJBFSVm7c9x7WWzWYJheZRFDMVFduz1tWCgXf2t79M0679\nKLZOp9PdSmZvgil4RSlNVr38cza7cztrgNXVVZ5++mkOHTrEQw9tr9LyYdIDUN0HpqoquVxuc43l\nZSaTSHKHQbB3dw+6GdXUNFFTs/VtcXTsDeyOMTq7beRyBcbH+6kqfxS3e+fqAVarFau1OKpZV9dF\nJOJlcGAAyGMxddPTvZWx7ve3MjD4NvsPbCUcZbN5EvEazHXXNwCdnR0gk3sbn08knVG5OGCiqeHj\nm/VPAVzOLgKB16iq2irhFYmksJp7djqlTqfT3TZu9Aio0WjcFmhe/tls3vnfj5WVFb7yla8gCALf\n+c53rvs1XokegOqumqZpvHnyPGPjK+SzIja7SGOTA6Nipqq6nN59TTz3XyOYzVs93jOZdfYfuLVq\nQ0ajK9gdY/hr7WxsxIgnA3jKYGziJ7S1feN9ncPrrdy19JQoijQ1fpKBi68hyStoiKD66Wi7vm0v\n4/F1NPE0HZ3Figh2oKxMo//CS/R0P7G5X3V1I7OzCQYH+jFb0qRSCkZDL02NN6bsk06n090sbvQI\naGVlJbFYDFVVN/MFVlZWMJlMOBzbq9sEg0G+/OUvI0kSP/zhD0um6G8UPQDVXbUzZ/oZG82jKDXI\nYoFzZ/v5xc+nuOOOTiR5haoqOH5vHefPzhKPFzCa4MChGrq6dh41vFkFQyN0dtsIhWcwmZepqSmO\n9Eaj53n77Is0Nd655+ew2Rx0d31iz+e5GotLg7R3lq49FQQBq32VdDpdspa2vr4HTesmm82iKMqO\ndT91Op3udnOjk5A6OzuRZZnz589z8OBBAM6cOUNPz/YZqlQqxVe/+lUMBgM/+MEP8HhufAkp0ANQ\n3RUkEglmZi+gaQVqqrtwONyMj6+gKMVRvZmZSVJJNzarzPLSKu0djaxGMkSj63z+Vx8o+XZ2q5Fl\nM8lUGkFcwuncCspMJiOiOEI6vR9ZVt7jDHunqioLC2MkUwEUg6ekDueHRRCEbcssdDqd7nZWf4On\n4E0mE0888QR/8id/wre+9S2CwSD/8A//wDPPPAMUR0PtdjtGo5G/+Zu/YWFhgR/84AeoqsrKysrm\nOWy2G1e3WQ9AdbuanR0muPIL2josCALMzY2xEjlAPqtyOS8pFk0hScU3cO5S6R2DwcjiQgTu5KYP\nPrPZLIlEHLvdsS2wq/X3cO78Sxw6svUa8nmVVNJOV5eR82dOYjKbKC9rwuMpf/ep9ySdTjMx+SrL\ngV9QXlHA5fJRVVXJ0PAALc1PYLF88KL+vppuZmZGaGqyb27TNI34uhtT3dVXEtDpdLrbzcxN0Anp\nj/7oj/jTP/1TfuM3fgO73c7XvvY1Hn642Kjk+PHjPPPMMzz55JO88MILpNNpPv/5z5cc/+STT/Lt\nb3/7Rlw6oAegul0UCgVW107S2mZHLRQnGxoa7IyPncNqqyN7OaH90pRsPpfD7d5KVhHFm3uqVtM0\nRsfeQDZMYncUmJqRkcROmpsOb+5jNBpxOx7mzKnvU1eXI5sVSCbstLS2MTh4Cpe3kfr6coKBYfoH\na+jp+tg1maJWVZXRsR9T5Zunu09AloysxZZYXMixr6+RocGTe+qGZLM5iEQOMzK8lYS0uGCiqeHG\ntmXT6XS6W0XDTdAJyWQy8e1vf3vHIHJkZGTzz88+++yHeVnvmx6A3qZSqWKryd2mVldWglRW5oDS\nx2vrTGysWblwfhFRKKe83Mb0VAynS6KmplgvM5NN0t1bdr1fwp5MT1+gtn4Wu704klhdDSsrw0xP\nW0hnwgjiCpomYVKasZrux2mPYzQZMBoNLC4NIcsmmluqUAsa1TU2bLYQs7PDNDR07fna5uZGaW1X\niSfjyFKxjJXTpbC8FETTGhHFlfc8fmFhjPX4AJKUppC3U1lxGK+3qmSf+voestm2zTJM+3purQQx\nnU6nu5Gmb4IR0FudHoDeZsLhCK+8fIFYFERRo6JK4eGHD28r4m40mkinwWwpPT6dzlNRUcUXvniQ\n/v4xausqqasPkUiYSCTWkKQ0La0O9u3r/BBf1dXL5Cax20uDa4/HxKm3/jePPrYfSRKBAmtrF0im\nGpidtSFJASDH/EKGT33qDvKFrW4/doeJ+bkZYO8BaDoTwWYzshEvXb5gsRZIpbJommWXI4vBp8H0\nJj2NFkABMoyNPofB8AQOR2nWo6Io+P3vrzOWTqfT6XTXkh6A3kby+TzP/dfbyLKPS6UqWYuqPP/8\nWzzxxH0l+7pcHsYnnThdSWBrWnlmWqSnqw5RFDl0aCvbLp1Os7a2htPp/EAdiT4IVVXRNA1Jkq68\n87sIgso7X9faeoSJ8YtUVq8QDBvxuhsxGs04nWZkwzTNjV/cXCMqCv8Ho9FAPllaWF/Vrv46dmKz\nVrG2No3VWsPa2ihOZzFQTsRlLOYCJqVl12PX4wOXgs8trW1WBvvP0eXQp9h1Op3uWrgZpuBvdXoA\nehsZH5+iUHDzzlwbURQJhwrE4/Ft2XDdnZ/i7bM/wWgOI4qwse6gsf7xHROLTCbThxZ4FgoFxsZf\nRRDnkWWVTMZFTdXduN3vPxFIUyvI5wPIskQsFkKQJlGM61RVOyivSLG0eIEy7yEUgwG7vUA6ncJm\nKybtiGI9qdRSyfkCgQQe1+GSbaqqMj19kVx+ARCxWVvx+69cisrna+bixYt09cokEg0sLS4QjW0Q\nWKxHErpobtq367GSlKY48rlFEAQkKfX+boxOp9Pprkifgt87PQC9jSSTGQyG7Ws+NVUml9veustq\ntdLb82kSiRSqqtJQe/3bQ+5G0zSWl2dY31hkYWmU48dNWCyXR/ry9Pc/i9X6q9tak+2mueko/Rf+\ng4amJOnMAgZFIxBw4K9VEBCorpYJBueoqmhmfd1AZfnWqGJb611MT54gr45jtaqsRiRksZempvqS\n5xgcep6WtlWs1uI9j0ROMj6xSmvLe9cPFQSB7u5PMz11loJqRS00YzE3ce/xtitWFSjkHUC6ZFs+\nXwBc7+u+6HQ6ne7K9BHQvdMD0I+oYDDEwMA0mgotLVU0NNbT1lbPubNnsFpKO/NYLFlcrt27Itzo\nGpCqqjIw8FPqGmNU+41YHOcZHzfQ2noQi6U46traamB+Zojm5r73dU5FUdjX+1mWl2cYGJ7iwIEG\nHn7IzfkLZ7DZCiiKBKQJh5Moht6SaX5RFGlpvpvx8SrSCYWmhqptJZwikSAVVUGs1q1RZa/Xwkp4\nhGz2wBUDZVmWaW058r5eyztVVR5mdORZ2tqtCIJAPl9goD9Pe+sdV30unU6n0+1s6s3Ijb6EW54e\ngH4EXbw4zOm3QlgsxUz0+blFmltC3HvfYfbvL+PC+RAWSzmqWiCbC/HAg203dYebmZmLtHVuYLFY\nyGQzOJ0GGhqMDPaP093dC4DJZCCXj1/VeQVBoKamkdj6PioriwlFvT0HmZqYJpOPElx00N52jKbG\nrTWXhUKBV179BzxlE5gtKhvrHjbiR+jsKF1DuxpdoKVte7KQx6uyvr5OWdn1qRLg8VRiMDzJ0MA5\nRDEJuGlvPXTDv0TodDqdTvdOegD6EZPP5zn39iIWS/XmNpPJyfhYiH37Yxw+so+W1ihDg9MYFIne\n3uOYzTduav39yOYWsViKAZRRMbK6qiB4BCRpK+AMBhN4PR8so9vjOsDc3KvU1VmRZYmW1ib6L+a4\n+9hntwVuv3jxbzh6zwTVVXYyWY34RpClxdeYnvbS2LiVlOWwVxCNDlBWVlowfi0mUFN1fTtP2O0u\nOjseuK7PodPpdLezRn0Kfs/0APQjZnV1lWzWxLtneI1GD9NTCxw46MLtdnP38d2n3G82qmYAtpJo\nLJYGQqExCoXieshIJElw2UdPd/UuZ3hvVVWNhMNGBi6eR5KzFPJOWpruLAk+NzbWCYWWsdtH8Xi2\nAkirVcHhXGV5YRzYCkArK2u5cMGOy5VDlovT94lElnSq/kNL1tLpdDrd9TGpJyHtmR6AfsRYLBZE\ncXtCUTabxO3x3YAr2rtybw+LCz/H5y+OJjodZUQiCkuLGqheXM7D9HTXX+EsV3iO8hrKy7cXY89m\ns4yMPoenbAVVWCKVnWd1tZrqqq0pdJsNEomNbcd2dn6S0eGTCGIAkJDEFjo7Dm/bT6fT6XS3liZ9\nBHTP9AD0I8Zms1FdY2A1kkeSir9eVVWxWOPU19fe4Kt7/7LZLG+evEAomEBWRByOSmKxKHZHmmRC\nQlPbePD+u3ddu7q8PMva+jwWcxl+/5Wzx3czNvEivfvTSJKDjQ2VZNpCOh0imbJvJiZFVnPYLNtr\ncyqKsm1t6LslEgmWl8dQFAt+KxEZjAAAGd9JREFUf+sHvk6dTqfTfXj0EdC90wPQj6BHHj3Ka6++\nzcLCBmpBo6LSzL33HbupE43eSVVV/v3Hr5DNVCBJFnI5iK0asNuqqfO3UFVu3JZ1DhAOB8hkkoRW\nLtDYtIGvzsLG+gz9A+dpb3vyqqe+C4UCihJEkoojr3a7C4+7jsDyFKuRZVp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"text/plain": "<matplotlib.figure.Figure at 0x105cb5668>"
},
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},
{
"metadata": {
"trusted": true,
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"cell_type": "code",
"source": "fit1 = smf.ols(formula='sbp ~ sbp0 + trt', data=data).fit()\nfit1.summary()",
"execution_count": 13,
"outputs": [
{
"output_type": "execute_result",
"data": {
"text/html": "<table class=\"simpletable\">\n<caption>OLS Regression Results</caption>\n<tr>\n <th>Dep. Variable:</th> <td>sbp</td> <th> R-squared: </th> <td> 0.712</td>\n</tr>\n<tr>\n <th>Model:</th> <td>OLS</td> <th> Adj. R-squared: </th> <td> 0.712</td>\n</tr>\n<tr>\n <th>Method:</th> <td>Least Squares</td> <th> F-statistic: </th> <td> 1852.</td>\n</tr>\n<tr>\n <th>Date:</th> <td>Mon, 07 Nov 2016</td> <th> Prob (F-statistic):</th> <td> 0.00</td> \n</tr>\n<tr>\n <th>Time:</th> <td>17:14:18</td> <th> Log-Likelihood: </th> <td> -4532.6</td>\n</tr>\n<tr>\n <th>No. Observations:</th> <td> 1500</td> <th> AIC: </th> <td> 9071.</td>\n</tr>\n<tr>\n <th>Df Residuals:</th> <td> 1497</td> <th> BIC: </th> <td> 9087.</td>\n</tr>\n<tr>\n <th>Df Model:</th> <td> 2</td> <th> </th> <td> </td> \n</tr>\n<tr>\n <th>Covariance Type:</th> <td>nonrobust</td> <th> </th> <td> </td> \n</tr>\n</table>\n<table class=\"simpletable\">\n<tr>\n <td></td> <th>coef</th> <th>std err</th> <th>t</th> <th>P>|t|</th> <th>[95.0% Conf. Int.]</th> \n</tr>\n<tr>\n <th>Intercept</th> <td> -4.8409</td> <td> 2.595</td> <td> -1.865</td> <td> 0.062</td> <td> -9.932 0.250</td>\n</tr>\n<tr>\n <th>sbp0</th> <td> 0.9978</td> <td> 0.018</td> <td> 54.137</td> <td> 0.000</td> <td> 0.962 1.034</td>\n</tr>\n<tr>\n <th>trt</th> <td> -6.9345</td> <td> 0.257</td> <td> -27.007</td> <td> 0.000</td> <td> -7.438 -6.431</td>\n</tr>\n</table>\n<table class=\"simpletable\">\n<tr>\n <th>Omnibus:</th> <td> 2.361</td> <th> Durbin-Watson: </th> <td> 2.015</td>\n</tr>\n<tr>\n <th>Prob(Omnibus):</th> <td> 0.307</td> <th> Jarque-Bera (JB): </th> <td> 2.373</td>\n</tr>\n<tr>\n <th>Skew:</th> <td> 0.071</td> <th> Prob(JB): </th> <td> 0.305</td>\n</tr>\n<tr>\n <th>Kurtosis:</th> <td> 2.866</td> <th> Cond. No. </th> <td>2.84e+03</td>\n</tr>\n</table>",
"text/plain": "<class 'statsmodels.iolib.summary.Summary'>\n\"\"\"\n OLS Regression Results \n==============================================================================\nDep. Variable: sbp R-squared: 0.712\nModel: OLS Adj. R-squared: 0.712\nMethod: Least Squares F-statistic: 1852.\nDate: Mon, 07 Nov 2016 Prob (F-statistic): 0.00\nTime: 17:14:18 Log-Likelihood: -4532.6\nNo. Observations: 1500 AIC: 9071.\nDf Residuals: 1497 BIC: 9087.\nDf Model: 2 \nCovariance Type: nonrobust \n==============================================================================\n coef std err t P>|t| [95.0% Conf. Int.]\n------------------------------------------------------------------------------\nIntercept -4.8409 2.595 -1.865 0.062 -9.932 0.250\nsbp0 0.9978 0.018 54.137 0.000 0.962 1.034\ntrt -6.9345 0.257 -27.007 0.000 -7.438 -6.431\n==============================================================================\nOmnibus: 2.361 Durbin-Watson: 2.015\nProb(Omnibus): 0.307 Jarque-Bera (JB): 2.373\nSkew: 0.071 Prob(JB): 0.305\nKurtosis: 2.866 Cond. No. 2.84e+03\n==============================================================================\n\nWarnings:\n[1] Standard Errors assume that the covariance matrix of the errors is correctly specified.\n[2] The condition number is large, 2.84e+03. This might indicate that there are\nstrong multicollinearity or other numerical problems.\n\"\"\""
},
"metadata": {},
"execution_count": 13
}
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"metadata": {
"trusted": true,
"collapsed": false
},
"cell_type": "code",
"source": "fit2 = smf.glm(formula='ds ~ sbp0 + sbp + trt', data=data, family=sm.families.Binomial()).fit()\nfit2.summary()",
"execution_count": 14,
"outputs": [
{
"output_type": "execute_result",
"data": {
"text/html": "<table class=\"simpletable\">\n<caption>Generalized Linear Model Regression Results</caption>\n<tr>\n <th>Dep. Variable:</th> <td>ds</td> <th> No. Observations: </th> <td> 1500</td> \n</tr>\n<tr>\n <th>Model:</th> <td>GLM</td> <th> Df Residuals: </th> <td> 1496</td> \n</tr>\n<tr>\n <th>Model Family:</th> <td>Binomial</td> <th> Df Model: </th> <td> 3</td> \n</tr>\n<tr>\n <th>Link Function:</th> <td>logit</td> <th> Scale: </th> <td>1.0</td> \n</tr>\n<tr>\n <th>Method:</th> <td>IRLS</td> <th> Log-Likelihood: </th> <td> -461.49</td>\n</tr>\n<tr>\n <th>Date:</th> <td>Mon, 07 Nov 2016</td> <th> Deviance: </th> <td> 922.98</td>\n</tr>\n<tr>\n <th>Time:</th> <td>17:14:18</td> <th> Pearson chi2: </th> <td>1.50e+03</td>\n</tr>\n<tr>\n <th>No. Iterations:</th> <td>8</td> <th> </th> <td> </td> \n</tr>\n</table>\n<table class=\"simpletable\">\n<tr>\n <td></td> <th>coef</th> <th>std err</th> <th>z</th> <th>P>|z|</th> <th>[95.0% Conf. Int.]</th> \n</tr>\n<tr>\n <th>Intercept</th> <td> -15.7563</td> <td> 1.922</td> <td> -8.197</td> <td> 0.000</td> <td> -19.524 -11.989</td>\n</tr>\n<tr>\n <th>sbp0</th> <td> 0.0784</td> <td> 0.022</td> <td> 3.572</td> <td> 0.000</td> <td> 0.035 0.121</td>\n</tr>\n<tr>\n <th>sbp</th> <td> 0.0173</td> <td> 0.018</td> <td> 0.983</td> <td> 0.325</td> <td> -0.017 0.052</td>\n</tr>\n<tr>\n <th>trt</th> <td> 0.2147</td> <td> 0.215</td> <td> 0.998</td> <td> 0.318</td> <td> -0.207 0.636</td>\n</tr>\n</table>",
"text/plain": "<class 'statsmodels.iolib.summary.Summary'>\n\"\"\"\n Generalized Linear Model Regression Results \n==============================================================================\nDep. Variable: ds No. Observations: 1500\nModel: GLM Df Residuals: 1496\nModel Family: Binomial Df Model: 3\nLink Function: logit Scale: 1.0\nMethod: IRLS Log-Likelihood: -461.49\nDate: Mon, 07 Nov 2016 Deviance: 922.98\nTime: 17:14:18 Pearson chi2: 1.50e+03\nNo. Iterations: 8 \n==============================================================================\n coef std err z P>|z| [95.0% Conf. Int.]\n------------------------------------------------------------------------------\nIntercept -15.7563 1.922 -8.197 0.000 -19.524 -11.989\nsbp0 0.0784 0.022 3.572 0.000 0.035 0.121\nsbp 0.0173 0.018 0.983 0.325 -0.017 0.052\ntrt 0.2147 0.215 0.998 0.318 -0.207 0.636\n==============================================================================\n\"\"\""
},
"metadata": {},
"execution_count": 14
}
]
},
{
"metadata": {},
"cell_type": "markdown",
"source": "Specify Stan model"
},
{
"metadata": {
"trusted": true,
"collapsed": true
},
"cell_type": "code",
"source": "model = \"\"\"\ndata {\n int n;\n vector[n] x;\n real y1[n];\n int y2[n];\n vector[n] treat;\n vector<lower=0>[2] sigma_b;\n vector[2] Zero;\n}\n\nparameters {\n vector[2] alpha;\n vector[2] beta;\n vector[2] mu;\n real<lower=0> sigma;\n corr_matrix[2] Omega_b; \n}\n\n\ntransformed parameters {\n vector[n] theta1;\n vector[n] theta2;\n cov_matrix[2] Sigma; \n \n Sigma <- quad_form_diag(Omega_b, sigma_b); \n \n theta1 <- mu[1] + alpha[1]*x + beta[1]*treat;\n theta2 <- mu[2] + alpha[2]*x + beta[2]*treat;\n}\n\nmodel {\n beta ~ multi_normal(Zero, Sigma); \n Omega_b ~ lkj_corr(1);\n\n sigma ~ cauchy(0, 5);\n \n y1 ~ normal(theta1, sigma);\n y2 ~ bernoulli_logit(theta2);\n}\n\ngenerated quantities {\n real A;\n real B;\n real A_or_B;\n real A_and_B;\n\n A <- if_else(beta[1] < -7, 1, 0);\n B <- if_else(exp(beta[2]) < 0.8, 1, 0);\n \n A_or_B <- if_else(A || B, 1, 0);\n A_and_B <- if_else(A && B, 1, 0);\n}\n\"\"\"",
"execution_count": 15,
"outputs": []
},
{
"metadata": {
"trusted": true,
"scrolled": true,
"collapsed": false
},
"cell_type": "code",
"source": "fit = pystan.stan(model_code=model, \n data=dict(x=data.sbp0, \n y1=data.sbp, \n y2=data.ds, \n treat=data.trt, n=n, sigma_b=(2, 1.5), Zero=(0,0)))",
"execution_count": 16,
"outputs": [
{
"output_type": "stream",
"text": "INFO:pystan:COMPILING THE C++ CODE FOR MODEL anon_model_456ec81631c7e21b1d5f3580dbc6353b NOW.\n",
"name": "stderr"
}
]
},
{
"metadata": {
"trusted": true,
"collapsed": false
},
"cell_type": "code",
"source": "fit['beta'].mean(0)",
"execution_count": 17,
"outputs": [
{
"output_type": "execute_result",
"data": {
"text/plain": "array([-6.8113808 , 0.09079104])"
},
"metadata": {},
"execution_count": 17
}
]
},
{
"metadata": {
"trusted": true,
"collapsed": false
},
"cell_type": "code",
"source": "np.exp(fit['beta'][:,1]).mean()",
"execution_count": 18,
"outputs": [
{
"output_type": "execute_result",
"data": {
"text/plain": "1.1123857364294381"
},
"metadata": {},
"execution_count": 18
}
]
},
{
"metadata": {
"trusted": true,
"collapsed": false
},
"cell_type": "code",
"source": "fit.plot(pars=['beta']);",
"execution_count": 19,
"outputs": [
{
"output_type": "display_data",
"data": {
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HbEexu6Eap+K0sMRy0uF/jNT5exZwxFaLr0/v6Pb7DAB1jt4ni6fb6wFJQk1LqM0gvJob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"text/plain": "<matplotlib.figure.Figure at 0x111fc95c0>"
},
"metadata": {}
}
]
},
{
"metadata": {},
"cell_type": "markdown",
"source": "Probabilities of A OR B and A AND B::"
},
{
"metadata": {
"trusted": true,
"collapsed": false
},
"cell_type": "code",
"source": "sample = fit.extract(pars=['A_or_B', 'A_and_B'])",
"execution_count": 20,
"outputs": []
},
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"cell_type": "code",
"source": "[sample[s].mean(0) for s in sample]",
"execution_count": 21,
"outputs": [
{
"output_type": "execute_result",
"data": {
"text/plain": "[0.25574999999999998, 0.0082500000000000004]"
},
"metadata": {},
"execution_count": 21
}
]
},
{
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"source": "Correlation between betas"
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"cell_type": "code",
"source": "fit['Omega_b'].mean(0)",
"execution_count": 22,
"outputs": [
{
"output_type": "execute_result",
"data": {
"text/plain": "array([[ 1. , -0.01236086],\n [-0.01236086, 1. ]])"
},
"metadata": {},
"execution_count": 22
}
]
}
],
"metadata": {
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