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@fonnesbeck
Last active January 4, 2017 14:43
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Frank's model.ipynb
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{
"cells": [
{
"metadata": {
"collapsed": true,
"trusted": true
},
"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, distributions as dst\nimport rpy2\n\nnp.random.seed(1)",
"execution_count": 1,
"outputs": []
},
{
"metadata": {
"collapsed": false,
"trusted": true
},
"cell_type": "code",
"source": "pystan.__version__",
"execution_count": 2,
"outputs": [
{
"output_type": "execute_result",
"data": {
"text/plain": "'2.12.0.0'"
},
"metadata": {},
"execution_count": 2
}
]
},
{
"metadata": {
"collapsed": true,
"trusted": true
},
"cell_type": "code",
"source": "%load_ext rpy2.ipython",
"execution_count": 3,
"outputs": []
},
{
"metadata": {
"collapsed": true,
"trusted": true
},
"cell_type": "code",
"source": "%%R -o data\n\n# Simulate a single trial with sample size n\nsim <- function(n) {\n trt <- c(rep('A', n / 2), rep('B', n / 2))\n sbp0 <- rnorm(n, 140, 7)\n sbp <- sbp0 - 5 - 3 * (trt == 'B') + rnorm(n, sd=7)\n logit <- -2.6 + log(0.8) * (trt == 'B') + 0.05 * (sbp0 - 140) +\n 0.05 * (sbp - 130)\n ds <- ifelse(runif(n) <= plogis(logit), 1, 0)\n data.frame(trt, sbp0, sbp, ds)\n}\n\nset.seed(7)\ndata <- sim(n=1500)",
"execution_count": 4,
"outputs": []
},
{
"metadata": {
"collapsed": false,
"trusted": true
},
"cell_type": "code",
"source": "data.head()",
"execution_count": 5,
"outputs": [
{
"output_type": "execute_result",
"data": {
"text/plain": " trt sbp0 sbp ds\n1 A 156.010730 145.740946 0.0\n2 A 131.622598 125.179766 0.0\n3 A 135.139952 128.711171 0.0\n4 A 137.113949 127.264851 0.0\n5 A 133.205287 131.413852 0.0",
"text/html": "<div>\n<table border=\"1\" class=\"dataframe\">\n <thead>\n <tr style=\"text-align: right;\">\n <th></th>\n <th>trt</th>\n <th>sbp0</th>\n <th>sbp</th>\n <th>ds</th>\n </tr>\n </thead>\n <tbody>\n <tr>\n <th>1</th>\n <td>A</td>\n <td>156.010730</td>\n <td>145.740946</td>\n <td>0.0</td>\n </tr>\n <tr>\n <th>2</th>\n <td>A</td>\n <td>131.622598</td>\n <td>125.179766</td>\n <td>0.0</td>\n </tr>\n <tr>\n <th>3</th>\n <td>A</td>\n <td>135.139952</td>\n <td>128.711171</td>\n <td>0.0</td>\n </tr>\n <tr>\n <th>4</th>\n <td>A</td>\n <td>137.113949</td>\n <td>127.264851</td>\n <td>0.0</td>\n </tr>\n <tr>\n <th>5</th>\n <td>A</td>\n <td>133.205287</td>\n <td>131.413852</td>\n <td>0.0</td>\n </tr>\n </tbody>\n</table>\n</div>"
},
"metadata": {},
"execution_count": 5
}
]
},
{
"metadata": {
"collapsed": false,
"trusted": true
},
"cell_type": "code",
"source": "data.assign(treat=(data.trt=='B').astype(int)).plot.scatter('sbp0', 'sbp', c='treat', cmap='plasma', alpha=0.4);",
"execution_count": 6,
"outputs": [
{
"output_type": "display_data",
"data": {
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AZ5Yh+PmSBFQIIYQQYg609oUYgr99AZ4ZuSQBFUIIIYSYA5+5MtwhLHmSgAohhBBCzIFO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JAAAg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\nQZavb03NFzbxrweRJAe+qjamJkO0tkMhDwsLWepqmgmsZ+npqCWXyyFKU8j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PoLJKB8AC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"text/plain": "<matplotlib.figure.Figure at 0x11680b0b8>"
},
"metadata": {}
}
]
},
{
"metadata": {
"collapsed": true,
"trusted": 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[2] Zero;\n vector<lower=0>[2] sigma_b;\n}\n\nparameters {\n vector[2] alpha;\n vector[2] beta;\n vector[2] mu;\n real<lower=0> sigma_y;\n cholesky_factor_corr[2] L_b;\n}\n\ntransformed parameters {\n vector[n] theta1;\n vector[n] theta2;\n \n theta1 = mu[1] + alpha[1]*x + beta[1]*treat;\n theta2 = mu[2] + alpha[2]*x + beta[2]*treat;\n}\n\n\nmodel {\n beta ~ multi_normal_cholesky(Zero, diag_pre_multiply(sigma_b, L_b)); \n L_b ~ lkj_corr_cholesky(1); // correlation matrix for reg. parameters, LKJ prior\n \n y1 ~ normal(theta1, sigma_y);\n y2 ~ bernoulli_logit(theta2);\n}\n\n\ngenerated quantities {\n matrix[2,2] Omega;\n matrix[2,2] Sigma;\n Omega <- multiply_lower_tri_self_transpose(L_b);\n Sigma <- quad_form_diag(Omega, sigma_b); \n}\n\n\"\"\"\n\n\n",
"execution_count": 7,
"outputs": []
},
{
"metadata": {
"trusted": true,
"collapsed": false,
"scrolled": true
},
"cell_type": "code",
"source": "fit = pystan.stan(model_code=model, seed=7, n_jobs=1,\n data=dict(x=data.sbp0.values, \n y1=data.sbp.values, \n y2=data.ds.astype(int).values, \n treat=(data.trt=='B').astype(int).values, \n n=data.shape[0], \n sigma_b=(-10/dst.norm.ppf(0.1), np.log(0.5)/dst.norm.ppf(0.05)),\n Zero=np.zeros(2)))",
"execution_count": 8,
"outputs": [
{
"output_type": "stream",
"text": "INFO:pystan:COMPILING THE C++ CODE FOR MODEL anon_model_e939446386a69132052970fed98900ee NOW.\n",
"name": "stderr"
}
]
},
{
"metadata": {
"collapsed": false,
"trusted": true
},
"cell_type": "code",
"source": "fit.plot(pars=['beta']);",
"execution_count": 10,
"outputs": [
{
"output_type": "display_data",
"data": {
"image/png": 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SJjC5zemVBGczCaYkyzfkqx0CRRBreheYqAn9TJx1QmxV7/6eJ1WPqcSQ3PKQ\n28qMpf16TG0S+rqLs4uhEVKXmjIJJqKksbkDKsH6Xu0Q2vNJsUNkEkyx6X1Je1zxKEwrnRT22EnF\nqVlcoxahV7IwtXSyokvJGo0WWVq1qqNCyqvBWo3WvyA3T5+DUfkjUnr+VAlsZ8gz5GFicSVG5g0P\nOS47wvdeluWYzjN7yMz4Aowi1W8VmAQTUdIEtkP0rgQHJsWByTJROKXGUmTrsoMSFwHAiIJhyDPk\nhv2cVFXfeve7K9U7mY1VltYQ9HGuPgfaGB9rRtk0XFA2LeiSe2XROEXnD3c5XYmpJeHfvCgxrXSy\nomR6WukkzKmYgamlkzA0whSEEWESxlgY9TkwKmzJ0Wt0GJJbimmlk/CVYbODfr6Ls4viiiOQVtCi\nMKsgbHVVqwn/s6KkEuvb9GigYhJMREkT2ObQuyc4cGSanZXgjGLUGxUv+hlXOBozyqbCkMBFO/1N\nXn2mlEzExOJKTC9TvjCvMKsg7oq1TqOLe9RYti4r5HODktoYEstYpwjoNTqMKqwIuk2AgFx9Dqb0\nkQgP62Ncl9I+cEEQkGMwRn2DNDQntHUgFnn6HEyPuDgz9HxfGTYbs4fOxKSy8f43ckNzh2Bi8QQM\nz6vA8NzkLRAbklse8jfZH6kgYHTBqJgeZ2Lx+LCtFuFoNFoMifO5TRYmwUSUNLaghXHBCYdWo4Wh\np5LlYE9wRtEK2rCXZxNhbOEY6LUGTCge3+exga0AI/txaVyn0aEwqwC5+hyUGAsVfe7E4sqIl6Vj\nMam4Elm6LAzPq+j74ASL8ao5BEHAmKKRvW6L/jnTy6ZgSskkFGUpez6jyYuxaikIAvS9quw+qZhv\nXJiVj+F5w6CNMLljdMHIPqZ69P0GZnT+yLC3+1ohwr3BKTGGTtfQaXQRH6u3YTlDgt7U5BnyQn5u\nhRQ3RDAJJqKk8bVDZGuzw15i81WDbRyRlnH0MSQTRdlF0Gi0kS/Th8mkyowluLB8ep/J06SSCSjP\nOb8wqLyfi4R8JpaOw4i8YcoqXjFUXcNdui/JLkaOPgczy6YlfYZsf1sflDLqjGHaXPp+nnRafUhf\n9ITi8ZhUMiFs5b+s52fA10frO8YYYZLE9LKpuHDITBRG2dFMaUuEUkNyyjG7fGbEVoTAZ6k/LUGB\nVfYxBaMxvnBsxGNjaaWJJZZIiX+ycMsWIkoa/25xES47G3XZ6HRZuFnGAKTT6OASXXF/fqQkoji7\nGB2ODgDuABxpAAAgAElEQVTAuILR0AiahPf2Tiud7H+Bn1g8AQatLmEvvnqtHiPyK3CuyxTX5xu0\nhrDP66j8EXCJbv9zU5ZTGjZxN0SoYMYkSml3SslESLKEA82HIh6j0+rhEd0ht0fb5cw3RzzocfpR\nbZ1ZOhVajRZnu8/5b4v2hmhswWgMz62AXqODxdWNvJ6fC+9Vgq6Q431v3oqzi9HptIR9zHEFo9HY\ndQpl2aVotJwE4E0AY62cx0IQBIwtHI2jbccg99pxM1vnLTo4RVe/rrhMKBqPFlsrCrMK+typrji7\nCHOGXhj08zEifzhkWcaZ7rPemPs439jCMXHHGi9WgokoaXwL3nL04XvPfC/Y/UmmSB1jCmJvH5g7\ndBYuKJ8ecvvE4gkht43KH448Qx4qei4HR0uA402NNQGjsgqz8iP2RvZHvLHpNcE9z4KgQVHPAqnA\nS9Qj84aHfW6Ks5QtphpTMAoQBBj1xj43Seh9NSe3V8Wz90K3sYVjUGosweiC0Mvl0ZL16aVT+go7\nSODXHM+bGYNWD0EQUJiVn5A3Qzl6I6aWTAq60lAa50YdJcYSAEBBmDeNRl122AkNw3KHYFrpZMwq\nnxE0G9nXQlGQdX504JTSSRE3ETFo9RiZPzzmrZp7/3xU5A4N6uH33q/uqLjeWAkmoqSxemwAgFxd\n+MuDWUyCB6xSYwlastrR6ewE4F0lbnVbwx4bKZEtzMrHuMIxaOhs9N+m0+gwpWRiTDEkuj+zxFiM\ndru30jqqYCROWZr6/JxE7LimE7TQaw1wiy6Myh+BmvZa7x2CgFnlM/yJWb4hD5NLJkZdEBfuufZW\nIcOXIXP0RlxYNj2u5C9blwWNRgtJEgGETqsoM5agzFgCXc8UgtlDZuBfZw8DAAqizHBW+n0dUzAS\nBq0eBYbILQqpEO65n1wyEV2ubgzNKUerTfnVgbEFo1CaXeKvUPemETSYUTYVDtEJjaCBLMvnn9te\n4cwonQKzsxMlAUlvnj4XeUW52H+uI6Z4JhZX4ri5HqXZJTEdX5JdjHPWFgChc4nLjWVwiupeBWQS\nTERJY3V7k+BIK7h91SAnk+ABKUdv9CfBQ3LK0NB5PgkuyCqAxWkJ2LDi/CtyYJJTaizBGes5OBW0\nxJTllKLD0YmJMSx+Cy98QjgmfxQKDQXIN+TDoNVHTYLHF41Fq60tyqzZ2CtegiBgRukUuCVPyK5m\nvZPTWKpyk0om4ERnvf/jMmNpUALWu3+zP9vkziyb5r1kHkMCqtfqQ7Y9VrIQqiDC167T6EK+D5NL\nJqLRciplu49pNTpUhJnmkG/IC/s9GxZjXBpBg8Ks6Ju+ZOuyY5p0YtAa+uxV72v6SmFWAWaXz4z5\nTZMvSQ80vWwKnKILhYYCnLU2+29Xo0bMJJiIksbWkwTn9tEOwSR48KksHAuLq8tflTJo9SjOLobV\nbY26mjyWpGhswWiMyZeh1yd2EY1Wo0WpMXyFq7JoHOrMDQCAirxhKMkuDqqo9aZR2Mes1WgT1pcc\nrco6oXh8Qicu6DU6jOjHZIpcfU7IVYTeFdVxhWPQ6bJgVF7sLTj5hryQ5CuRAiMcnleBYblDFM3X\nHZmfnOko8SrPKYPFbcHkskq4rNGbl/v7c2rUGf0tSEVZBf6eYTVmDjMJJqKk8bdDRPjjlqXpaYeQ\nmAQPBr52gjxDHrQabciw/8qisQk7V6q3oS3OLsJXhs2GKIkxJQGFWQXI0mVBlER4JA+A6G0JqSKk\n2VIgQRAwtXQSjnfURVxoVmosCXpzYtTnwO62YYSKiWRxdhGaus9AlmUMySlL6Va/yTCmYBS0WgG5\nhhy4rOHbmmJRllMKk60t5mkiOfocTC6ZCAFCyFWQVGASTERJIcvy+XaICAuPWAkeTASMLRiNkuxi\n5OtTO04rmnGFY9Bsa4VTdEHsSUb7Q8llYN8CrzZ7B1rsJowtGIXqtmP9jiEWw3LL0YXwSWU6GlMw\nGg2djTG1e0wpngC7xxGyMC+VNIIGM8um+f89GCTijeXo/JEoziqO2MMcTqwL75KBSTARJYVTdELq\nGd0TsRLMhXGDikbQJPRSeyL4qoi1HXWwRKg0JosvOSrPKQ2aFJAKI/OHQ8wqg5gj4LTlXN+f0MuI\nvAqc7jqThMjCM2j1mFwSOi0kHK1GG3Gr7FQaLMlvIsXSw5xO+B0koqTwVYGByD3BTIIJQFCLQKrb\nHFJtWsRtdUP1Zyc5jaDBkNxSZOuyglblR/pd9LmgfDoqi8ZhWE707YojGZU/AjqNLqYd+9JZ4OLN\nkfkjkKvPxbgom0XQwMRKMBElRWASnBNhRFpgO4Qsy4M+ARpsAmfa6rWD7+UkW5cNh8cBIYEVvxx9\nDqaVTsGXlpMoi7AIb3heBTqcnRifoM0DcvU5mFo6GVpB0+f4MYPW0K8NN4bmDgm7u91AMyxnCMxO\nCwwaHYblBm/3G6+R+cPRbDMl7PtK/Tf4/moRUVoITIIjXbr0vdjKkOGWPH2O56H0Um4sRZerGzqN\nNupEgr5oNVpATGBgCTKpeAJM9raoUyDikaM3Rq0ID88blvBtkNXsnx2ItBotpiuo2sdiWO7QmEej\nUWqwHYKIkiJw5FGkF+DA4fpsiRh4BEFAZdFY765j/TCuYAw0Gq1/Z7R0YdDqMTxvmCqr1oko+VgJ\nJqKk6PYE9AT30Q4BeFsi8qD+YhdKvRy9EbPKZ6RsoZG6Q8qIKF2wEkxESWF1eSvBRl12xLFShoCe\nUrfkTklclJ6SnQAH7hzWe3tfCq+kp2c5i5VwGqRYCSaipPBvlBGhCgx4d5vycSdghitRJPmGPEwr\nnQydRs/RVjEaWzAKRVkFAVtfEw0uTIKJKCms7ui7xQGAXstKMKVODheHKaIRNAlfFEiUTvh2mIiS\n4nwSHK0SfD4J9jAJJiKiFGISTERJYfPYAXgXPUWiYzsEERGphEkwESWF3e1Ngo26yElw0MI4kZVg\nIiJKHSbBRJQUvkqwUZcd8RhWgomISC1Mgoko4WRZht3jAADkRKkEczoEERGphUkwESWcS3JDlL37\n4EZPgrkwjmggmVQyAQatAaP7uUsgUTrgiDQiSjh7TysEABijLIzTarTQCBpIsgQXk2CitFdgyMcF\n5dPVDoMoIVgJJqKEs7kDkuAoPcHA+b5gD9shiIgohZgEE1HC2QIqwdHaIYDzfcHsCSYiolRiEkxE\nCefoWRQHANl9VIJ9fcEckUZERKnEJJiIEs4pOv3/ztZmRT2WlWAiIlKD6klwc3Mz1q1bhwULFuDr\nX/86tmzZApfLFfbYo0ePYsWKFZg1axauu+46fPHFFymOlohi4RTP/w5naQ1Rj/VVgjkdIvW+973v\nYffu3WqHQUSkCtWT4HXr1sHpdOKPf/wjnnnmGXzwwQf4xS9+EXKc3W7HmjVrMG/ePLz++uuYNWsW\nbr/9djgcjjCPSkRqCkyCDTEmwawEp44sy9i4cSM++eQTtUMhIlKNqklwfX09Dh8+jM2bN6OyshJz\n587FunXrsGfPnpBj//a3v8FoNOKee+7B+PHjsWHDBuTm5uKdd95RIXIiisbXDmHQ6KERov+Z0fnb\nIVgJToXm5mbcfPPN+OCDD1BQUKB2OEREqlE1CS4vL8eOHTtQUlLiv02WZXR1dYUce/jwYcydOzfo\ntjlz5uDgwYNJj5OIlPFVgrP66AcG2BOcakePHsXw4cPx+uuvIzc3V+1wiIhUo+pmGfn5+Vi4cKH/\nY1mW8corr+BrX/tayLEtLS2YNGlS0G2lpaU4ceJE0uMkImV8leC++oEBQKfRAgBESUxqTOT1zW9+\nE9/85jfVDoOISHVptWPck08+iZqaGvzlL38Juc/hcMBgCH5BNRgMERfRRaPVqt4KrZgvZsaeWow9\nPi7J+3uZrc+GThf9/Hptz8I42eM/djA872pxOp1obm4Oe195eTmMxuhzm2Ol9tcZGEM6xAKkVzyM\nJbx0igVIr3jSMZZkS5skeOvWrdi5cyd+/vOfo7KyMuT+rKyskITX5XIhOzv6DNJwCgoS8yKgBsau\nDsaujKyRAAC5WUYUF0e/5J6T3dMyoZFDjh3Iz7taDh06hNWrV0MQhJD7tm3bhqVLlybkPOn0vUmn\nWID0ioexhJdOsQDpFU86xZJsaZEEb9y4Ebt27cLWrVuxbNmysMcMHToUra2tQbeZTCaUl5crPp/F\nYocoSnHFqhatVoOCAiNjTzHGHp8uu9Ubg6xDR4c16rG+VmCn2+U/djA872qZP38+ampqkn6edPje\npNvPSTrFw1jSP5Z0iycdY0k21ZPgbdu2YdeuXXj22WfxrW99K+JxF154IXbs2BF028GDB3HHHXco\nPqcoSvB41P/hjwdjVwdjV8bh8U2HMPR5bg28PcFu0RNy7EB+3ge7dPrepFMsQHrFw1jCS6dYgPSK\nJ51iSTZVGz/q6uqwfft2rFmzBrNnz4bJZPL/B3grvU6n98X00ksvRVdXFx5//HHU1dVh06ZNsNls\nuOyyy9T8EogojPPTIWJZGOd9L+7hdAgiIkohVZPgvXv3QpIkbN++HYsWLcKiRYuwcOFCLFq0CACw\ncOFC/P3vfwcA5OXl4fnnn8f+/ftxzTXXoKqqCjt27IirJ5iIksvVkwT3tVEGAOgEbyXYI3M6RKqF\n6xsmIsoUqrZDrFmzBmvWrIl4f+++tpkzZ+L1119PdlhE1E+uno0vDD27wUXDSrB69u7dq3YIRESq\nUX8OBhENOr7d33zjz6LxzQn2cE4wERGlEJNgIko4l9iTBMdSCRa8lWBRZiWYiIhSh0kwESWULMv+\nSrBB03fHVWAlWJblpMZGRETkwySYiBIqsLc3tnYIb6IsQ4YkZ8ZYHiIiUh+TYCJKKF8VGIitHULb\nUwn2fi5bIoiIKDWYBBNRQrkUJsG+nmAAEDkmjYiIUoRJMBEllFs8X801KGiHADgmjYiIUodJMBEl\nlNJ2CF1AOwSTYCIiShUmwUSUUIFJsOJKMNshiIgoRZgEE1FC+bZMBpT3BLMSTEREqcIkmIgSyhU4\nIk3BtskAk2AiIkodJsFElFD96QnmdAgiIkoVJsFElFBusR89wawEExFRijAJJqKECq4E971tslYI\nnA7BSjAREaUGk2AiSiiP4p5gtkMQEVHqMQkmooTybX0sQIBG6PtPDCvBRESkBibBRJRQviRYr9FB\nEIQ+jw/sCWYlmIiIUoVJMBEllK8dQhdDPzAQXAkWWQkmIqIUYRJMRAnlCagExyJo22SZ0yGIiCg1\nmAQTUUKxEkxERAMBk2AiSijfiDRdDJMhAEAjaCDA2zvsYU8wERGlCJNgIkoot8J2CEEQoO1piWAl\nmIiIUoVJMBEllNJ2CADQ9bREZPKINIfDgd27d+Ppp5+G2WzGvn370NHRoXZYRESDVuyvUkREMVC6\nMA6AtxIsAmKGLowzmUy4/vrrYTKZ4HK5sGLFCrz00ks4cuQIfv/736OyslLtEImIBh1Wgokoodwy\nK8FKbdmyBRMmTMA///lPZGVlAQCeeOIJTJw4EVu3blU5OiKiwYlJMBEllEdUngRre47N1M0yPv30\nU6xbtw5Go9F/W2FhIe677z4cOHBAxciIiAYvJsFElFBKF8YBrARbrVbk5OSEvc/jycwWESKiZGMS\nTEQJ5YmjHcI/HSJDe4LnzZuHP/3pT0G3ud1ubN++HXPmzFEpKiKiwY0L44gooVgJVu6+++7DjTfe\niH379sHtduPhhx9GfX09urq68Morr6gdHhHRoMQkmIgSKp4RaZneE1xZWYk33ngDf/rTnzBkyBBI\nkoTLLrsMK1euxMiRI9UOj4hoUGISTEQJFVcSnOGVYAAYOnQofvjDH6odBhFRxmASTEQJ5ds2WR/j\ntskAoMvwnuD169dHvX/z5s0pioSIKHMwCSaihPJXggXlC+MytRLc1NQU9LEoijh58iS6u7vxne98\nR6WoiIgGNybBRJRQvkTWV92NhS9hFjM0Cd65c2fIbbIsY+PGjcjNzVUhIiKiwY8j0ogoYSRZ8i9u\ni2dEmidDF8aFIwgCbrnlFrz22mtqh0JENCgpToKvu+46/PnPf0ZXV1cy4iGiASywkhvPtsmZWgmO\npLGxES6XS+0wiIgGJcXtEAsWLMDzzz+PzZs3Y+nSpbj66qtx8cUXQxCEZMRHRAOIJ2BhW3yVYC6M\n87Farfj444+xdOlSFSIiIhr8FCfBd999N37yk5/gk08+we7du3HXXXehoKAAy5cvx/LlyzFu3Lhk\nxElEA0Dgwja9oKQnOLMrwb0XxgGAwWDALbfcgltvvVWFiIiIBr+4FsYJgoCLL74YF198Mex2O3bu\n3InnnnsOL7zwAubMmYObb74Zl1xySaJjJaI055sMAcS3WUam9gSHWxhHRETJFfd0iJaWFrz55pt4\n8803UVtbizlz5uCqq67CuXPn8MADD+Dzzz/Hhg0bEhkrEaU5d7xJsOBdnpBJleAzZ87EfOzw4cOT\nGAkRUWZSnAS/8cYbeOONN/DZZ5+hpKQEy5cvxy9/+UuMHTvWf0xFRQUee+wxJsFEGSbeSrDOXwnO\nnJ7gJUuW9LmWQpZlCIKA6urqFEVFRJQ5FCfBGzZswDe/+U386le/wuLFi6HRhA6YGDduHG688caE\nBEhEA0fc7RAZ2BP88ssvqx0CEVFGU5wEf/TRRyguLobZbPYnwIcPH8b06dOh1XpfyObOnYu5c+cm\nNlIiSnvB0yEULIzLwDnB8+fPVzsEIqKMpjgJ7u7uxg033IClS5fi3nvvBQCsWbMGZWVl2LFjByoq\nKhIeJBENDEGVYCXbJmdgJTiQ0+nErl27UFtbC1E8/xy4XC4cOXIE7777rorRERENToo3y3j88ccx\nZsyYoLE9b7/9NioqKrB58+aEBkdEA4s73s0yeo4VZRGyLCc8rnS3adMmbN26FcePH8cbb7yBkydP\n4v/+7//w9ttvY8mSJWqHR0Q0KClOgvfv34/7778f5eXl/ttKSkpw77334tNPP01ocEQ0sPS3Jxjw\nbr2cafbu3YvNmzdj165dGDFiBDZu3IgPPvgAS5cuhdvtVjs8IqJBSXESrNPpYLFYQm632+0ZWcEh\novOCk2DlPcFAZvUF+1gsFsyZMwcAMGHCBBw9ehR6vR633347PvjgA5WjIyIanBQnwYsXL8amTZtw\n8uRJ/22nTp3C5s2bsWjRooQGR0QDSyIqwaKUOWPSfEpKStDW1gYAGDt2LGprawEAxcXFMJlMaoZG\nRDRoKU6C77vvPrhcLlx66aVYsGABFixYgEsuuQRutxvr169PRoxENEAETYdQsDAu0yvBixcvxiOP\nPILjx49j7ty52LNnD6qqqvCHP/wBw4YNUzs8IqJBSfF0iNLSUvz1r3/FJ598guPHj0On02HChAm4\n6KKL+hz8TkSDmydgYZw+7kpw5iXB9957L+6//37s27cPK1euxK5du3DddddBp9PhiSeeUDs8IqJB\nKa5tk7VaLRYtWsT2ByIK4muHECBAI8R+oUkbWAnOwCS4oKAAzz33nP/jF154AdXV1SgrK8OQIUNU\njIyIaPBSnAS3trbi5z//OQ4cOAC32x2yGG7v3r0JC46IBhZfEqzTaBVdGQpsnRAzaOtknyVLluCq\nq67C8uXLMWrUKAiCgGnTpqkdFhHRoKY4Cf7Zz36GI0eO4PLLL0dBQUEyYiKiAep8EqzsT0umV4Kv\nvvpq7NmzB8899xzmzp2Lq6++Gt/+9reRk5OjdmhERIOW4iT4008/xYsvvoivfOUryYiHiAYw36I2\nJYvigOCFcWIGLoy78847ceedd+Lw4cN488038cwzz2Djxo249NJLcdVVV2HBggVqh0hENOgong6R\nk5OD0tLSZMRCRANc3JVgIbOTYJ8LLrgADzzwAD766CPcfffdeO+993DLLbeoHRYR0aCkuBJ85ZVX\n4sUXX8Sjjz4KrTb2YfhENPgF9gQrEZg0Z2I7hM/Zs2fx1ltv4a233kJdXR3mz5+Pq6++Wu2wiIgG\nJcVJsNlsxp49e/C///u/GDVqFAwGQ9D9L7/8csKCI6KBJSGV4AxMgnft2oW33noLBw4cwIgRI7B8\n+XJcddVVGD58uNqhERENWnGNSPvud7+b6DiIaBBw9ySwSpPg4M0yMm86xJYtW/Dtb38bP/jBDzBv\n3jy1wyEiygiKk+DNmzcnIw4iGgR8CazShXGZXgn++OOPOQmCiCjFFC+MA4CWlhZs27YNP/nJT9DW\n1oZ33nkH9fX1/Q7G5XLhiiuuwOeffx7xmLVr12LKlCmYOnWq//8ffvhhv89NRP0Xb0+wNsO3TU5l\nAtzV1YUNGzbg4osvxkUXXYT169ejq6srZecnIkoXipPgxsZGXHHFFfjrX/+Kd999FzabDW+//Tau\nueYaHDp0KO5AXC4XfvzjH+PEiRNRj6uvr8fTTz+Nf/zjH/j444/xj3/8A1/72tfiPi8RJY4vCdZr\n9Io+TycEzgnOvHaIVHrwwQdRW1uLHTt24KWXXkJdXR1+9rOfqR0WEVHKKU6Ct2zZgmXLlmHv3r3Q\n670vdM888wyWLFmCp556Kq4g6urqsGLFCjQ1NUU9zuVyoampCTNmzEBpaan/P18cRKSueBfGBR6f\nySPSks1ut+O9997Dgw8+iGnTpmHq1Kn46U9/ivfffx8ul0vt8IiIUkpxEnzw4EHceuutQbfpdDr8\n13/9F44ePRpXEPv27cNFF12EXbt2hWzDHKihoQGCIGDkyJFxnYeIksvjXxinsB1CyOwd41JFo9Hg\n+eefx5QpU/y3ybIMURRhs9lUjIyIKPUUL4wTRRGSJIXcbrVa454bfMMNN8R0XF1dHfLy8nDvvffi\ns88+Q0VFBe666y4sXrw4rvMSUWL5F8YprARrBA0ECJAhQ8zQdoiWlha8+uqrqK+vx4YNG/D5559j\n0qRJGD9+fMLOkZWVhYULFwbd9vLLL2Py5MkoKipK2HmIiAYCxUnwwoUL8etf/xpbt27132Y2m7F1\n61Z89atfTWhwvdXX18PpdGLRokVYs2YN3nvvPaxduxavvvoqpk+fHvPjaLVxrQdUlS9mxp5ajF0Z\nXwJr0Oqh0yk7r06jhVvyQBKkQfG8K9HY2IgVK1YgLy8Pzc3N+NGPfoS3334b69evx+9+9ztceOGF\nMT+W0+lEc3Nz2PvKy8thNBr9H7/yyit499138Zvf/EZxzOnwvUm3n5N0ioexhJdOsQDpFU86xpJs\nghyt/yCM5uZmrF69Gl1dXTCbzRg/fjxOnz6NoqIivPLKKxgxYkS/ApoyZQp27twZcVZmV1cX8vPz\n/R/fcccdGDJkCB599NF+nZeI+m/d3x7Eue5WXDrh6/je3OsVfe7Nr/8IdrcDK2Z8F9dO/06SIkxP\na9euRUlJCR577DHMnj0bb775JioqKnDfffehpaUFO3fujPmx9u3bh9WrV0MQhJD7tm3bhqVLlwIA\n/vCHP2DTpk3YsGEDbrrppoR9LUREA4XiSvDQoUOxe/du7NmzB9XV1ZAkCTfccAOuvPJK5OXlJSPG\nIIEJMABUVlairq5O0WNYLHaIYmhLRzrTajUoKDAy9hRj7Mo4PW4AgOiW0dFhVfS5Wnjbqbqsdlgs\n9gH/vCtx8OBBvPLKK0G3+dZarFixQtFjzZ8/HzU1NVGP+c1vfoOtW7fi/vvvjzsBTofvjdq/ny63\nCIP+fBug2vEEYizpH0u6xZOOsSRbXDvGGY1GXHfddYmOpU/r16+HRqPBY4895r+tpqYGkyZNUvQ4\noijB41H/hz8ejF0djD02HtHbDqGBVvE5fYvj3KLH/wd4ID/vSiRjrUUkf/3rX/HUU09hw4YNWLVq\nVdyPk07fGzViqT9jQYvZhgnDC1FWFPxinenPTSSMJbJ0iiedYkk2xUnw6tWro97/8ssvxx1MOCaT\nCfn5+cjKysLSpUvxox/9CPPmzcOcOXPw5ptv4sCBA9i4cWNCz0lE8Yl3YVzg52TijnGpWmvR2dmJ\njRs3Yvny5bjssstgMpn895WUlECjUb8XcKBoMXunaZw40xmSBBPRwKD4lap3z6/H40FjYyNqa2tx\n88039zug3n1sCxcuxJYtW7B8+XIsW7YMDz30ELZv345z585hwoQJePHFFzF8+PB+n5eI+s+/WYbC\nbZOB82PV3HLmTYe4//77sXr1aixcuBBOpxNr1671r7XYsmVLws7z8ccfw263Y/fu3di9ezcA74g0\nQRCwd+9e/i0lShGnW4RB4eJhSjzFr1SbN28Oe/uvfvUrnDt3rt8BVVdXB33cu7ft2muvxbXXXtvv\n8xBRYsmyHPecYOB8O0QmVoJTtdbi8ssvx+WXX56wxyMi5dotDtQ2mVGSn41p40rUDiejxdUTHM6V\nV16J5cuXszWBKENJsgQZ3mEz/WmHyNTNMtRaa0FEqVXbZAYAtHc5VI6EEpYEHzx4MOELOIho4HAH\nbHIRXxLs/fvhyZB2iL7WVwRK9FoLIiJK0MK47u5uHDt2DCtXrkxIUEQ08AQmr/EkwZnWDtHfmepE\nRNQ/il+phg8fHrJ4Ta/X46abbsJ//Md/JCwwIhpYPP2uBPe0Q2RIJTjS+gqiWLk9EvRcXEUUN8Wv\nVIlcqUxEg0dgEqzvRztEplSCezt9+jReffVVHDt2DFqtFtOnT8eKFStQVlamdmiUhhrOWtDcYcPE\nEUUoLcxWO5yIWjpsONdhx+ypWoTuYUjpzOkWIQBBG8IMNopfqT7//POYj4209TERDT5BleA4RqRp\nBd/CuMyoBAc6ePAgbr31VhQXF2PGjBkQRRG7du3C73//e+zcuVPxhkA0+DV3eOcUHz9tRmnhMJWj\niaz+rAVajQZVJ0y4YFxx0H2d3U6cOG3B8LIcVJTmqhQhheN0izh4vBUAMHfSkEF7xUHxK9WqVav8\n7RCyLPtv732bIAgh486IaPBK3MK4zKsEb9myBZdddhk2btwInc773Lndbqxfvx6PP/44fve736kb\nYMTx+5EAACAASURBVBK5PSJ0Wk1Imx0NftUnOwAAjc1dTILTTKvZ7v+3uduJ8kG6IYziV6rnn38e\nmzZtwj333IP58+fDYDCgqqoKjz76KK666irOoCTKUP3uCRYyd8e4mpoabN682Z8AA961Fnfccceg\nHpvWaXWhprEDhbkGTBlT3PcnUNJJsozak2ZoNAImjizkmxMa1BTXtzdv3owHH3wQl156KYqLi5Gb\nm4uvfvWrePTRR/GnP/0JI0aM8P9HRJmjv0mw1lcJzsB2iNGjR4dsDAR4+4QrKipUiCg1jp8yQ4YM\ns9WpdigZT5JlNHfY8OXZLpitTrR3OdDRxe/LQOb2SHC5M6+ooITiV6qWlpawCW5eXh46OjoSEhQR\nDTzuBC2My8R2iNtuuw2bNm1CS0sLFixYAJ1Oh6qqKjz77LNYuXJl0FqMwbTWQgpoqSN1nW2z4VRL\nV9BtHlFSKRrqL48o4V+1LQCA2RPLkZXExW3tFgdOm6wYPSQPhXlZSTtPMih+pZo1axaeeeYZPPHE\nE/7tPM1mM7Zu3YqLLroo4QES0cDQ70pwhs0JDnTfffcBCD995xe/+IX/3wNtrcWX5yxwuSVMGFkI\nDS+rx02S5aQ/f6aAHlAa+Dq7Xf5/N7fbMHpoftLO5dsBr/pkB746LX0XaYaj+JXqgQcewOrVq7F4\n8WKMHTsWANDQ0IDy8nLuakSUwQIruL6qrhLnt03OvHaIvXv3qh1CQnTb3TDoNDDotei2u3Gu3TvB\noLldH7Lw6YzJykpwDNotDtQ2mVFakI2JI4vUDocGCN8W9hSd4iS4srISb7/9Nvbs2YO6ujoAwMqV\nK/Gd73wHRuPgXD1IRH1zi27/v/UaveLP1wmZtW1yoMGwhqKz2+lf7T9/6tCgS+kOV3B1X5JknOx1\n6Z3C81XZ2iwOjPWI0OsSc1m7rdMBtyhhWElOQh5vIGntsMNmdSEnS/kVq8HA7vTA6nCjpCA74VcY\nmtttaO6wYfzwQuQZY3sdcLlFON0i8nMMCY0lFnH9BBQWFuK6665DU1MTRo0aBcC7kpmIMld/t03O\n5ErwyZMn8dRTT+H48eNwuVwh9w+ESvEZk9X/b7c7ei+pkgqwxeZC/RkLKkpyMDSNE7am1m5AAIqK\nzsdod3qgEQRkGaInrh5Rwtk2Gwpy9FF7KrtsbpQU9D8Jdrg8OH7am1zrtZq03mwj0czdTpxstcFq\ndeLCytJBuxGEEGVrkkN1JgDAKLeEEWWJHU3XcM4CADj6ZTvmTx3a5/GyLONAzzziyaOKUZyf2p5i\nxa9Usizj6aefxs6dO+F2u/Huu+/i2WefhdFoxMMPP8xkmChDeQJ6eX1VXSX0/iRYDJpBngnuvfde\ntLa24rLLLkN2duYkJLE4+mU7AO+La7omwV02F5pau6HVaDCiww69ADhdoj/ZmDupPGoF91RLN5o7\nbDgNpKSnMrAyb7G5MioJbrc4/P+2OT2DNgmOxVmTNeFJsE+sb3Q94vnjTpu60z8J3rlzJ9544w08\n9NBDePTRRwEAy5YtwyOPPIKysjL86Ec/SniQRJT+3JK3HUIjaPzjzpTwVYJlyJDkzFqVXlNTgz/8\n4Q+YPn262qEkRG2TGSUpfjFTkzNgDJXV4UaRUQdT5/mFZh3dLgyJstlAW6cj4n29ybIMmzPzrpZQ\n7FxuEXVnOtUOIyqbww2PKMOYpe6bEMVzgnft2oUHH3wQV199tX+I9uWXX45NmzbhrbfeSniARDQw\n+CrB8VSBgeAWCneGtUSMHTsWdvvgWZ1vdbhxqrVb8edIkrcq5PZk1pugWAmCgLozFlTVt6kdiuok\nWUZNYwdqT5kz7spRX+pOdwZVYtstTlTVt6HTGtxq1bsd2OUWIUrJfy7dHgmH69twtLEdVfXtST9f\nNIorwU1NTZg6dWrI7VOmTEFra2tCgiKigcfXyxtPP3Dvz8u0vuAHH3wQjzzyCFatWoVRo0ZBowmu\nTwym2cCRVNW3IT/HgNKCbHx5zoKR5XkYWZ6ndlhpJ7DCnMlazXb/JivmbmPKL6P7dNvd0GkFZBvU\nWWR32mQFZBnDy3L9hclOW3Cy63B7ADdQ3dgesd2m2+5GdWMHhrTZUTksub93Vsf5RdQuj7ojMRV/\n10aMGIGqqiqMHDky6PaPPvrIv0iOiDKPL3GNZ6MMILOT4NraWtTV1eGBBx4IuW+gzQbujy6bC109\nL+BNrd0ZmwRLkgxBwIDcsvh4kxl2pwdTx5RAr1N8sTlmgVcL3Cpt6mGxunC00VvJnD9lKNq7HNAI\nAkoKUtNjXXvKjPYubyuNTqvpV898w1nvgjar3Z1Rm6QofrX63ve+h0ceeQStra2QZRn//Oc/sWvX\nLuzcuRP3339/MmIkogGg35XggDaKTEuCt23bhmuvvRY33XQTR00OADZH8n4+3R4Rh060Qa/T4ILK\n0qSdJxnsTg/aehaeNbV2Y1xFQUrOW3+mEx0WByaPLk7J+Xx8c7ABb2XaNxnhgvGlyMlO/pAAXwIM\npPfC0XSm+NXqmmuugcfjwfbt2+FwOPDggw+itLQUP/zhD3HDDTckI0YiGgDccgLbITJs62Sr1Yrb\nbrst5AobpafD9aY+j+mrs1KW5bCV3jMmGzySBI9LgsUaOi5PDZIkw9RpR36OAcYos3UDe3NT3dfd\n0e2E0y3GsD1wcqrrloAWhG6HJ+FJcLfdjVazHcNKcqJ+D9JVw1kLbE4PJo+KvOFLtLFuyaL4mdyz\nZw++/e1v4z//8z/R3t4OWZZRWjqw3q0SUeJ5xP4lwfoMXhi3bNkyvP/++7jlllvUDiUpmjtsKMnP\nijoDN5XsTg+aO2wYUmRMScXOx+bwwO0R4fJIaDhrwZih+SHVu8AFTalY7hVLx8Wplm6cbffOgU7n\nbXFbzfaEttB0Wl2w2t0YVpIDjSZ5CVosC/uONHgXQ7ZbnJg7uTwh5/UtghOlvt+wNLfb4PZIGFGe\nq7hNx+Hy/r4B3p+laP3bTrcIQxLbaHpT/Gr16KOP4o9//CMKCwtRUlKSjJiIaADyjUiLZ7c4oFcl\nOGD3uUxQXl6Op59+Gn//+98xevRo6HTBf5o3b96sUmSJU32yA/OmDIFWo4Hai/mPftkOtyjhXLst\n5qTO5RbR0mGPqd9TkmWIYvAXKUpSSAVZrUvYSp9/XwKcaap7+n0lScbIIXn+NyiJ3GXN6Rbx6ZFz\nkD0e/7bYjee64PKIqBxRGHIut+i9SpaIqwSSLMNideHYKTNESYK2Z0Fu758Pu9ODM23en4FsgxZl\nUcb9hT1PQI7tcke+ytdld+Hg8VYU5mZhZopagRQnwWPHjkVtbS0mTJiQjHiIaIDytTDo4pgR7P28\nzK0EV1VVYdasWQCAc+fOqRxN8oiiDG3qijwRxbOQquakGTanG02mvke/VdW1+Rf4Ad4L8E5Xei82\nSvQavPYuR8oXWEmSDIvNhXyjvt+LCgOrsyaLA8PLcnHohAmSDFw4oRS6BP0gexNeGVarC06XCI8k\n+d905Bn1qCgNv5lFYD9yf/gW9kUTOAf7xJlOlBZm9+v5PWuK/qaqs2fqRyooToKnTJmCu+++Gy++\n+CLGjh2LrKzgsvZgqFgQkXIJrQRnWE/wzp071Q5hwOrsduKMyYqyguykXrK2OWO7OmF3epK6cC4R\nkjF0wmJ1hcyYbeo1K9rpFqHt4+ROt4jqxg78f/buPL6t+sob/+dq3yxbtrzH8ZrYSUxiJyQQCHsK\nT1tCOg8J85Q2tLR9wvRVCoUWKEsbSiGEwDDtAEN5UYbOQJ8py4+ZdigtQ4eWaYGGhOyLk3jJ4n23\nvGi/9/fH1ZUlW7Il626Szvv14oUjazm+kuVzvzrfc3LMetSW5yYVQ/fQJLqHJlGab0VlSU5St52L\nx8evhHpD7bwGRt1xk9N4pjwBdPS6UDhjFZU/UeCPCQcOgYha6sjJfmoy7PIueMrg+JQfgQTKL+SS\nUBK8e/du3HbbbcjNzcVf/vIXNDc3Q6PRUF9gQkhYqjXBOiZ7W6QBQCAQwNDQEIKhjzs5joPP58OR\nI0dwww03KBydeh08NYDJSS+8viAqitKvpdrIuFf2pCBWOUQqU+gGx9xo7Zo9oWx8KvrEYf/JATQv\ncc65inq2dxweXwAeXwCVJTkLWnHtGZ5MKAlmkxgMEZnQx7rZfCUmJ86OwB8MRn1CIDZ/gIVWK/4Z\nzswNa6m8XtWUAAMJJsGvvvoqbr75ZuTm5qK7uxtvvPEGbYYjhEQJcKn2Cc7eFml/+ctfcN9992F4\nePZHkyaTiZLgBAyOuudNgt3eANpD/VClEm+He7wF0JPnRySMRh7d83y8HWnKG4DdYoj7/ciuEjM3\njPUOT6Gzf0K0ROpU5yiWLsoL13mPTXjRNTiJRYU25FjE3TAp1PLO5VDrEMqcya0wR9p/agAWU/p1\njlBSQkervLwct99+e3hS3GOPPTarDALgG3vv3LlT3AgJIWnBTxPjFuzpp5/G8uXLsW3bNtx55514\n6qmn0N3djX/8x3+kErMZWI7DxJQftgUkKac7xxIua1io/hFxajWT0TM0Oe/H8/Fass3FF2DRJ1Lt\nqRjO9Ip/AnOqczS8OfLEOf6E5PjZYVy0rFj0x5oPBw5dCdScA7E7SnDgoqaxJXq7WPcjLvWOtU7o\nr9WTTz6Jn/3sZ+jq6gLDMOju7oZeL19bGUKI+vlFnBiXbRvjWltbsXPnTjQ0NGDZsmWwWCzYtm0b\nLBYLXnrpJWzcuFHpEEW28D+KbV1jGHJ54LSb0VA193CESY8fDBBugyZ1AqyUs33jMOq1MTtXcByH\nY2eG4fezaKzJT6q8YGZNrxwiE7AgyyEdM4327jHYTPqEVmXHJnywWpNrHSj785J+gwsTltBfq8bG\nRjz77LMAgKuvvhrPP/88HA55J7MQQtRNaGumW+DGOH0WrwRrtVrk5PA1jJWVlTh16hTWr1+Piy++\nGE888YTC0amLMJFs0OUGEP/vUOfARDhZqC6xZ/w0rfEpf8wk2DU5PYq6e3ASi4vF2zAGhDYCplBP\nPNOEe/pEpW/YndIGt0CQxeiEF3k2o2jdHCL5AvFLHI6fGcaFDUUAAK/IG9yUODlJTfJZdN/wFByO\nhZeGJCrpV8X7779PCTAhZBaho8NCV4K1UWOT1bkrWipLlizB+++/DwCoqanBp59+CiCz26VJLTJR\n6JDgY/R0EbmJa2b3BoCvsx12eWZdHs/IuBcHTg/g4OlBjE36cOr8qBhhxsSm2FD65PlRtHaNLSjG\nWBv9wjgOQZaNSthnEuqW3d4ADrSqp4nA0Fjiz7WS2rvl+Z2lCmpCiCiEFmkLrQlmGAY6jQ4BNhC+\nr2yxfft23HHHHdDr9bj++uvxzDPPYPv27Th58iQuvvhipcPLCPFqIdu7XfAHgliyKC9ui7VUkzGx\nnO0bl+R+T3UmniRGbuQ7kUCP2VTEStqTIayAuxbQkWFonhODyQTb4J04u/CNj30jU/D6gmioFG/h\nsbV7juReMOOwD465436/I6GNpur4/YlFBW3LCSGZINWa4MjbZls5xMaNG/HGG2+gqakJpaWl+PnP\nfw6tVotrrrkGjzzyiNLhKWbmONeZyei5iKRwvj+zI+OxG/D3j05hZMKLnjgbwM70uvDJib75g5WB\nx5f474XPH8TZXlfUbUbHvUm1BUtVrBOPZD4YHxxz49T5UbhFLLeQ21wlE4kYnfRK2lZtITp6XeEx\nyH0KbAQVE60EE0JEEUixO0TkbbNtYxwArFixIvz1unXrUFdXl/Wj6Tu6o1c+22Z8RN01MJnwpqLA\nPMlfz+Ak3J4AnHkmjE54UZJvgcmgS2gy15wfnadg5s+bjONnRqDRaTEZMX3LGwiio9eF/JyFDTpI\nVrK1wrES9OFxD6Y8ATQtcYoVliQiW7uJTcbzloR19LhQ7Eiszn5MhBHPUqGVYEJIyoJsECzH/xFY\n6MQ4ADCEbusPZlc5hMvlwg9+8AOcPHkSwWAQt956Ky699FJ89rOfxfnz55UOTzH85rdp831EnYoA\ny2LQ5UbLuRH0Dk/hWIe4/XuT6aUrWMh4Z0G81dOBUbcqexMPjrqxt6U/5vc8fnWdFMfKScfd6k30\nkiVmzu31ByUr4xEDJcGEkJRFjjmOHHqRLKGzRLatBD/++OP461//Cp1Oh/feew/79u3D7t27UVVV\nhd27dysdXlrwBYLoWkCiGY8/GEyop2qiBmbWVcYRr2wj07V2j83Zn7ZLhI4IQTZ23+MTZ0fSZsOY\nHMTsiKb2UhYqhyCEpCxyI1sqK8H6cDlEdq0Ef/DBB3juuedQW1uLF198EZdeeik2bdqE+vp6fOlL\nX1I6PNFJtc/sfP84HDajaFOz9ohUC9zZn3gCl2oNaaY6L0IS3Nkf+yRpbNKLsUnxTz7UngDKQe0t\nhmklmBCSssiNbKnUBGfrxripqSmUlpYCAD788ENccsklAPiRycEExq2SaamUEEjFK0Nim2onhWww\nOiHvKvuxDnG6ZyTTwk5OrZ3S1MLLiVaCCSEpi0xaU+sOwa8i+7KsJri2thZ/+tOfUFpaioGBAVx+\n+eUAgNdffx21tbUKRzc3rz+Ijm4XxhLYwe72BWHQa0UtW5hFJe3M5NY/OoWaMjsAfkiEmp3tHZe8\n7ONw25Ck95+IACvO8yB3BwavP4j+kfnLd2bW7KcjSoIJISmLrOHVMSl0h9BmZ3eIO+64A9/+9rfh\n9/tx/fXXo6qqCo8//jh++ctf4rnnnlM6vDm1dY0l3If1xNlhrKp1pn1bJbJwHT0uUSfMxSPpiOwM\nP8862j48qz1hpqIkmBCSsqiaYG0qNcH8bQNZVhN8xRVX4IMPPkBfXx8aGhoAAJ///Odx0003qX4l\neK6pWbEcahuUKJIQJnYVotprE7OFHAkwIYmiJJgQkjJ/UKxyCP622VYOAQAOhyNqJP3KlSsVjCa9\nxaqhVMvUN6KMvuEpuH0BaDXibIXyUDKfEWhjHCEkZeJ1hxBWgukPDFmYYJCNOQY4sfGuJFN19Ir7\n/LfT6ykjUBJMCEmZ2N0hsq0mOF25vQHVrbB2D0m46Y4QklEoCSaEpMwvcneIbOsTnG4CQRbjUz6c\nVmGLpGRrlDPJsY5h1Z2UEKJmVBNMCEmZ6MMysrAmOJ18fKQH4+OerNlBni7G3T70j7jhzDUpHUpG\n8/ipd3fC4mxUVQtaCSaEpCyqT3AK3SGydWxyumFpMINq+ShBk9xggiOwifpREkwISZkvYiVYx2gX\nfD/6LO0TTIhYqCaakMRREkxS0tHjwuG2IUx66OPrbCasBGsYDbSaFJLg0EpwkAuCpY/aCSEkbXEc\np/oJjlQTTBbs42O9ePE/jwMAbGY97r25GYsKbQpHRZQg9AlOZVMcf/vpUgpfMLEpZIQQQtTH7Q3g\nxLkRpcOYE60EkwXpGpzEy++0hP894fbjhd8cgz9A9WjZSJjwlsqmOAAwRNQTeykJJoSQtHW4fUjp\nEOZFSTBZkD/sO49AkIWGYXBBTQEAoGtgEn850qtwZEQJQg1vykmwJjIJphIbQggh0qEkmCTN4wvg\nr8f7AADrVxTjO1tXhssg3t/fydcBkaziD68Ep1YOYdAawl/7ArQSTMhCqLwrFSGqQUkwSdreln54\nfXzZwxXN5WAYBtesKQfArwafOj97ZCnJbMJKcCrT4gAqhyBEDBNT9CkKIYmgJJgk7XArX+dTlGdG\nbZkdAHDx8hKYDHxXgE9O9CsWG1GGX6SaYL1meiXYSyvBhCyI2jcjEaIWlASTpARZFsfP8m+wF9QU\ngAl97mY0aNFU5wQAfHpqgJrpZ5mABCvB1B2CEEKIlCgJJklp73bB7eUTnhU1+VHfW1NfCABwTfrQ\n2jUme2xEOT6xaoI1VA5BCCFEHpQEk6Qc6xgGAGg1DBoW50V9r7GmAAY9/5I6cHpA9tiIcvyhTg6p\njEwGojfGUTkEIYQQKVESTJJyupNf4a0ps8NkiF71M+q1WF7Jrw4faR+WPTaiHKEcwiBiizQqhyCE\nECIlVSXBPp8PmzZtwt69e+Ne5/jx47jpppvQ1NSErVu34tixYzJGmN2CLIv2bhcAoG5RbszrXBAq\nkegenMTQmEe22IiyfCJtjNNpdGDA15nTSrA0hoeHcccdd+DCCy/Ehg0b8NRTT9GIakJIVlJNEuzz\n+XD33XejtbU17nXcbje2b9+OtWvX4q233kJTUxNuu+02eDyUbMmhs38SXj/fGq2uPF4SXBD++kga\nTIsh4gh3h0ixHIJhmPB9UE2wNL73ve9hcnISr7/+On7605/it7/9LX7+858rHRYhhMhOFUlwW1sb\nbrrpJnR2ds55vd/+9rcwm8245557UFNTgwcffBBWqxW///3vZYo0u53unO7/Gy8JduaZUVpgATBd\nP0wynz8oTIxLbWMcMF0SQeUQ4vP5fHA6nXj44YdRU1ODNWvW4LrrrsOnn36qdGiEECI7VSTBn3zy\nCdavX4/XXnttzmljhw8fxpo1a6IuW716NQ4cOCB1iARAW6gUoiTfghyLIe71llfxJREnzo5Qq7Qs\nIVafYGB6c5w3QA3/xWYwGLB7925UVFQAAE6fPo33338fF110kcKREUKI/FJfthHBF7/4xYSu19/f\nj6VLl0ZdVlBQMGcJBRFPRygJFgZkxLO8yoH//rQTU94AzvaNY0lF3pzXJ+lPrJpgYDoJ9gS8Kd8X\niW/btm3Yu3cvGhsbcfPNNysdDiGEyE4VSXCiPB4PDIboFUiDwQCfL7mPTbVaVSyAJ0WIWanYx6d8\n6B91AwBqF+VCp4sfx4rqAmgYBizH4cTZETSEVobpuMtLrtg5jgu3SDPp9XO+NhJhCifBnrQ+7krx\ner3o6+uL+b3CwkKYzWYAwEMPPQSXy4VHHnkEd911F55//vmkHkejYaD0h4l8DOqIZToOdcRDsag/\nluk41BGPGmORWlolwUajcVbC6/P5YDKZkrofu90sZliyUir29r6J8NdNDcVwOKxxr+sAsHRxHlrO\njuBU51g4ZjruypA69gAbBAe+7CXXZpvztZEIm8kCuPiV4HQ+7ko5dOgQbrnllvA0x0jPPvssrrnm\nGgBAfX09AODxxx/Hli1b0N3djbKysoQfx2yOXxIlNzXFAqgrHoolNjXFAqgrHjXFIrW0SoKLi4sx\nMBA9hGFwcBCFhYVJ3Y/L5UYwmF4tgbRaDex2s2KxHz7ZDwDQaRnkmXUYGZmc8/pLK/gk+ETHMAaH\nJuAssNFxl5lcsbsD091Z/F523tfGfLQc/7bkCXjT+rgrZd26dWhpaYn5vYmJCbzzzjv43Oc+F76s\nrq4OADAyMpJUEux2+xSv+ddoGJjNBlXEorZ4KBb1x6K2eNQWixzSKgletWoVXnzxxajLDhw4gL/7\nu79L6n6CQRaBQHr9YRUoFbswBrmiKAfgMG8MDRV5+A0Af5BFy9kRbCiw0XFXiNSxu33Ttbta6FJ+\nLIMmVA7h96b1cVcjj8eDu+++G+Xl5Vi1ahUA4OjRo9DpdKiqqkrqvliWQ1Dx/sIaFcUCqCseikX9\nsQDqikd9sWTGo6RgcHAQXi//R/a6667D+Pg4du7ciba2Njz66KOYmprCZz/7WYWjzGwcx6Gjh98U\nVzPPpjhBbbkd+lBt6HFqlZbRhHpgQJwWaUbaGCcZp9OJa6+9Fo888ghOnDiBffv24aGHHsK2bdtg\ntaZWxkIIIelGdUnwzDq2DRs24He/+x0AwGaz4Wc/+xn27duHG2+8EUeOHMGLL76YdE0wSc7QmAfj\nU3yiU1OaWBKs12mxJDRV7tgZSoIzmdAeDRCnO4RRZwQQXWZBxLNz5040NDTga1/7Gr797W/jqquu\nwne/+12lwyKEENmprhzixIkTUf+eWdt2wQUX4K233pIzpKzXHloFBoDqBFeCAWBZpQPHz4ygo8eF\nCTf1fM1UPrGTYC2fBNNKsDRsNhsee+wxpcMghBDFqW4lmKiPUAphMepQ5Eh8w48wNIPjgCOtg5LE\nRpQnTIsDAEOKY5OB6HKIuYbnEEIIIamgJJjMSxiSUV2aA02MtkvxVBbnwGLkP2w4fHpgnmuTdCV2\nOYQptBLMciz8bGCeaxNCCCELQ0kwmVMgyKKjdxxAcqUQAN/ipH4xPy3uICXBGSsyCRZnJdgY/tob\npJIIQggh0qAkmMzpfP8E/KEWVXXlyY8/XlHNl0R09k9gaIw2OmUiX3B6gI1ek3qTdaEcAqC6YEII\nIdKhJJjMqbVzLPx1bXlyK8HAdBIMAEc7hkSJiaiLLyjuSrBZN93thTpEEEIIkQolwWRObd18Elxa\nYIHVlHyCU5RnRmEev5nuWDu1SstEUeUQYtQE66Y3X7oD7pTvjxBCCImFkmASF8dxOB1aCa4tz13Q\nfTAMg8bQavDRjmHFRzES8Qkt0rSMFlqNNuX7o5VgQgghcqAkmMTVN+LGyDhfk9mwOPl6YMEFtQUA\ngAm3Hx29rnmuTdKNUBMsRikEQEkwIYQQeVASTOI6ETHpbVll/hzXnNuK6nxoNXxrtSNtVBecaYSa\nYDFKIYDpFmkAJcGEEEKkQ0kwievE2REAQEm+BY4c4zzXjs9s1GF5Nb8afITqgjOOUA6h16beGQIA\ntBptOKGmJJgQQohUKAkmMbEsF06Cl1U6Ur6/C5cVAQDO9LjgmvTNc22STvxCOYRIK8EAYNbzm+Pc\nftoYRwghRBqUBJOYWrvGMOnhp3U1Vi+8FEJw4bJiAAAH4Eg7lURkkumVYBGT4FBdMK0EE0IIkQol\nwSSmA6EJbwadBstFSIIrinPgzOUTm0OtgynfH1EPsWuCAUqCCSGESI+SYDILx3E4cJpPVJdX5cOo\nT73tFcMwaFriBAAcOzOMQJBN+T6JOkx3hxCnJhgAzKFewZQEE0IIkQolwWSW8/0T6B/hazGFxFUM\nwn25vUGcPj8q2v0SZQnDMsRcCbaGaoKn/FOi3SchhBASiZJgMsueE30AAK2GweqlhaLdb0Ol3zO/\noQAAIABJREFUI7yqfLCV6oIzhVATLOZKsCW0EjxFE+MIIYRIhJJgEoXjOHxyvB8AvyHOZhZvdc+g\n02J5Fd9p4lDrIDiOpsdlAqEcQsyNcRa9BQAwRd0hCCGESISSYBKlrcuFIRdfh3nR8mLR739VHV8S\n0T/qRu8wfdSdCbyhJNgoak0wvzFuKuCmkyVCCCGSoCSYRBFKIQw6jaj1wIKVoRHKAHCYpsdlhHAS\nrBEvCbaGVoJZjoU36BXtfgkhhBABJcEkLMiy2NvCl0I0LXHCZNCJ/hh5NiMqi3MAUBKcKYQk1ahb\n+FTBmSyhjXEA1QUTQgiRBiXBJKy1cyw8zW1tg/ilEAJhNfjU+VG4vQHJHodIL8AGwHJ8uzuDiCvB\nwsY4gNqkEUIIkQYlwSTsUKhjg0GnwQU1qQ/IiGdlHZ8EByNGM5P0JGyKA8StCRY2xgHUJo0QQog0\nKAkmYQdbpwdkGEQYkBFPdYkdVhNfanG0Y1iyxyHS80qWBFM5BCGEEGlREkwAAH0jU+FuDcJKrVQ0\nGgYrQqOYj7YP0e7/NBaZBIvZJ9gaUQ5BbdIIIYRIgZJgAgA4fma6LGFljbRJMAA0VvOPMTjmQd8I\nJTnpKrJzg1Er3sY4o84IhmEA0EowIYQQaVASTADwm9QAoMhhRr7dJPnjCSvBAHCMSiLSlk+ilWAN\nowmXRFASTAghRAqUBBNwHIeT5/iV4KUVebI8piPHiDKnFQBw/AwlwelKqppgALDR1DhCCCESoiSY\nYGDUjdEJPpmplykJBoDllfwI5ZZzowiyrGyPS8QjZRJsNYSS4AB1hyCEECI+SoIJTneOhb+WMwle\nVsUnwW5vAGd6x2V7XCIeqTbGAZFJMK0EE0IIER8lwQQdPS4AQK7VgIJc6euBBfUVDoT2PqGF+gWn\npeiNcdIkwW4qhyCEECIBSoJJeBW2qiQnvCNfDhaTDlUl/Ajlk+dGZXtcIh5PIDQyWWuAhhH37SRc\nE0wT4wghhEiAkuAsFwiyONc3AQCoKrXL/vj1i/mSiNNdYwgEqS443XiCfIJq0or/CYJFWAmmcghC\niMoV5prnvxJRHUqCs1zXwGQ4+RRWZeUk1CB7fUGc7aO64HTjCZVDmHTi9QgWWEMt0ty0EkwIUTmN\nhoHDJv77IJEWJcFZ7kyvK/y1EknwkkV54brgU1QSkXY8oQRVzEEZAquBT4L9rB9+NiD6/RNCCMlu\nlARnufP9fClErs2AXAXOYi0mHSqKbACiu1SQ9OANrwRLUA4RqgkGppNtQgghRCyUBGe5zlASLCSi\nSliyiC+JaO0aA8dxisVBkidsjDNJsBIsTIwDqE0aIYQQ8VESnMU4jsP5gUkAQEWhkklwLgBgwu1H\n7zANRkgnQk2wlOUQAG2OI/IpzbcqHQIhkjIZdEqHoBqUBGexYZcXbi9fa7lIwZXguvLc8NdUEpFe\nvKGVYLMkG+OmyyHcfiqHIPKoVGBvBCFyqi2TvxOUWlESnMU6BybCXyu5EpxvN6HAzteUtlISnFbc\nQek2xlkMVA5BCCFi02kp9RPQkchiQhKs1TAoKbDMc21p1ZbzZ6btPa55rknUJFwTLMnGuOkkmDbG\nEZJ9SvOtWNtQpHQYCUuXLS0yzsRSPUqCs1hXqB64pMCi+JlhTWhQR8/gZLhEg6hbgA3Az/oBABYJ\nkuDIKXTCijMhJDs4c82oLMmBVqOBzaRXOhxZWYxUsysXSoKzWPcgnwSXO5XfCFJTxtcFcwA6aDU4\nLUQOsZBiJZhhmHDXCVoJJgQozDPDqNMqHQaJwWoWL1G3mPRYs7RQtPubyaiX9jVUU2pHfYVD0scQ\nCyXBWYplOfSEOjGUqSAJXlxsg1bDf0bT3k1JcDqITILNEiTBkfdLU+MIAapL7WiWMDkiC1OYZ0Zh\n7vzvgcLel0RoNOLVLNSV5Ub9m5G4HkKn1cCRkx7T8ygJzlIDo274A/y45LIC5ZNgg14b7lBBK8Hp\nwROVBJvnuObCmUN1wULtMSELUVmc/h0fivIs0FAxpyrVluVKnliKpTBXmvfqdEVJcJYSSiEAoLxQ\n+SQYAKpDrYnO9I4rHAlJRGTHBqlWgoVyCKoJJqnIT2IFLhE6Tfr96RT2XUglx2JI+LqN1QUSRkLm\nki7JulzS7zeZiKIrlARrNQwK89RxZij05xwZ98I16VM4GjIfD5VDkCxk1Gmxpl79JQk6bXSyU+SQ\ntgNQZL93OalplV/M5hBiJquRcVEOHI2S4CzVPRTqDJGvfGcIQVXJ9EoFrQar35Qc5RChJJg2xqlL\nc30R8myJr/wpTa8T9z1OjtW0YocFS0Mj5RdihcyrrfE2W1lNejAMUB0xoMFkiL5uUV6MBD3BjLJU\nBeV8ouNApS8yUUf2Q2QnlEOoYVOcoMxpDW+OO9NLdcFq5wmVQzBgYNRKkxBREqxOdqshqY+/pZBM\ngqhhGDQvUf/q7UzaBS5Q6LUaWEzqaLPVsNiBCxuKsLjEjuVVDqysKZi18DJz1VoMDNSXRDIMEzvh\nj8MmYscJOYm5qU9qlARnIZbl0DPEd4ZQQ3s0gV6nwaLQ5LqztBKsesJKsElnDPfzFZuwMY7KIdTH\nblUmCa4qsWNVrTPpOl+p20KpidGgnp+VYaYnlOXajLDI1POXE7U4QTyLEtiDU+bkE2U1JvLx5FmN\nsJr0yLUakavQe8NCUBKchQZdnunOECpKggGgsoRPgs/3T8xzTaI0YWOcRaJSCGB6Y5wnSN0h1MZu\nNcCuwGpwSb4FZhGGCZgNC7sPOVOrhaZAYiZPNpMeFmN04lqaL+7fjXlXPCXIBSuKbQlfV+pNhZGa\n6pyynSiISaNhcEFNAZZVOtJq8x0lwVkosjNEqcqS4IoifpPD4JgHUx6aHKdmU34ZkuBQOYSf9SPI\nBiV7HLIwYnddkFP94oXX2yohmZVNMXMQU4yThcqSHFE3pCmxL6U4iY2CiW4qZFOcm2zUaaOOt1iL\nVLGOb7oMs5AaJcFZqCeiM0SxQx2dIQQVRdNn550DtBqsZu4AX1Jj1ku36zyy6wStBqtP+qz3zBYr\nuUtVjkUdK3hirJQLCvPS90RHKvHGOOenOCBieXV+1L8dOUY0VhdgdQr17KtqnTFPihw5xqROBDIV\nJcFZSFgJLnKYVdMZQiDUBANUEqF2spRD6Kb/qNDAjPQjfLKjpMiuM2LKjVEKUl6Y+Efs8zHMUcPc\nsNgBq0mPFVX5ca+TqpU1BVi22IFcmzyTv9SekDXVOVFZnINlix1YUR37uBfnW1BZnDPnzzLXKn2s\nunWbWT/na2EuBp0WZqMu6n7VcqKmFurKgIgsulTYGUJgMengDI2fPNdHm+PUTJZyCG1EEkwDM9LO\nzL/3Uqy+zmdmO65ENNfNv/K2dHEeli2O/kg5clO8NcW6ztL8+IlUns2IC2oKJO3QYTHpZUuAAaCq\nJPqESemNbVUldjjtZqys4VvNmQw6lBZYkWszxq151TAMSgusqC61q2KgijC62GzUobYsFxVFOXDK\nODFurscy6dXRvUT5Z4nIiuW4cI9gNXWGiLQ4VGtGK8HqFl4J1ktfEwzQSnA6mpnGzEx0xFRTJt6w\nBqNBi5I5klAA0Go0cyaJqba3SrTNVF1ZLow6LfJzpCtbiPUxf4rlr7Mks5mqLNQbWMqfuSTfgrpF\nuQvepNZYkw+n3Yxyp3ifDqSiMM8s+9/8qlDt+AU10T2rnblmrKwtwKpap6zxxEJJcJYZGvPA51dn\nZwiB0EKme2gy5Y0GRDpylENE1wTTSjCJr0jkyZd6XfIryJEr3XJ1znDmmdG8tFDS/R15Kda6JirR\nccoVRTY0VhegblH8Ex/jAp4/MZkMOtQtylX1UBmtiP18Y02e1Wk1KC2wzqpRL3KYodEwMOiVT0GV\nj4DIqiuiM4RaV4KFumCfn8XAqFvhaEgsvqAfAZbv3iHtSnBkTTAlwelO7ee0qX6EbTRosby6AFWl\nOSjIzcwNZXnW+AmxVOUuM1u+MQwDm1kfc6pascMCZ64ZF9TKOzEvHZU5rUk/Z4tmrGxfUFOA+gpH\nuPQiGVqNJnyyksp0xFSooyiDyKY7sjPEPB/3KaU8opl4Z/+k6jdMZKOpUGcIALDoZOoOQeUQREKl\n+VYUJbCaOl8iX+gwQwcWgVAv9kyjDU13i1VrbdRr4fFNt7bUaTSirjYmojqip2+uxYCxKd+s61SW\n2kVtI5eudFoNmuqc+Ovx3gXfh9WkhzWF872VdQXwB1hF9gsAtBKcdboG+CS4ON+ius4QgmKHBXod\nH1sXtUlTpUn/dBJslbBFml6jD0+jc1M5hPokmUioLfFwhGp66yscqCzJifrYVu7kLZbI92ilkoR4\n5usRXV/hQNMSpyiDExZcuhfnsatK7Yr8/VP+FaU+Wo1G0de2KrIgn8+HBx54AGvXrsVll12Gl19+\nOe51v/nNb6KhoQHLli0L//+DDz6QMdr01jXIJ5VqrQcG+A0hwsYH6hWsTlMyJcEMw8AY6hDhpZVg\nSTz88MPYtm2b0mFIZq6V26UVeWheUhjzo1yxa4wFkSUXuRbDnB8DW0w6lBVYUWA3zdktIh6zSRd+\nnFRE5pKJlrSYjdqkE814j5PoR+0zOw5UJjEVTio2sx5mgw5ajQaLimygVDgxTpnKiVRxavnEE0/g\n+PHjeOWVV9DZ2Yn77rsP5eXluPbaa2ddt729HX//93+Piy++OHyZ3S7fSMN0FmRZdA/yyUsi88uV\nVF5oxdm+cXQOTM5/ZSK7yJVgKcshAL5NmjvgpmEZEti/fz9ee+01rF27VulQFMEwTMzerED87gwW\nU2p/NoX3NgDIsRjmTfAWpzCZrWlJITpMWsk26Rn1Wnj9QTjtyZ8wWIw6THnFmQq6ssaJwTH3rBK/\nZDo7lDtt4UUiMTEMgwtqC8CyHHRaDfwLLJMpybegd3hq/itKKNdikLRxXW1ZLroGJ1FdkoMCiU5C\nZ1J8JdjtduPNN9/EQw89hIaGBmzcuBHf+MY38Oqrr866rs/nQ2dnJxobG1FQUBD+T6+n5s+J6Bt2\nIxDkfwEXidjUXQpCfP0jbvgDNC5XbSYDkSvB0r5ZCXXBtDFOXH6/Hzt27EBzc7Okj1MR+l3OtRhS\nbhumBjNrYYvy+MQr0b0L+sjVUYZPktYsXfhEsLkY9FoUOeYvfZu5IdBiTOx5aqzOR115LqrLkk/U\nrSK+FiwmHRYX58Q9oZl53Vgip5WKTcMwKZdfSDX0ZS5ith1MRGGeGU11Tln7UyueBLe0tCAYDKKp\nqSl82Zo1a3D48OFZ1+3o6ADDMFi0aJGcIWaMyNKCRRL+wotB2BzHchx6hpQ9+yWzCYMytIw2XK4g\nFeH+aSVYXC+88ALq6+txySWXSPo45YV8O6v6xQ7otBqsWVqIpjrl+4OKpbqU74OaSg9kvU4bdxRv\nwlKovW1a4kRd+XTCk+hUMb1OC2euGVoVDIZIREWhDcsqHfNfkQDgS4Iin1vROp6oqEuM4q/cgYEB\n5OXlQaebPjsrKCiA1+vFyMhI1HXb2tpgs9lw7733YsOGDdi6dSv+53/+R+6Q05aQBBv1WtnqbRYq\nsn1bZFs3og5COYRFbxZl48tchDZp1B1CPG1tbfjVr36FBx54QNoHChV22sz6cHmBXqeFyaCDXit+\nH9emOidqynLDq7OpqgyVIsyV5DEMA6tJL/nvwXwiV6hzrcmVP+i0GtVulBaLhmFQXmhb8AhiKUjx\nyYjYk+pW1hbAaTejsjgnZi/gdKd4TbDb7YbBEP0LK/zb54tubdLe3g6v14vLLrsM27dvx3vvvYdv\nfvObeP3117FixYqEH1Obhr/sQsypxC4kk4uK5H0jWEjshQ4zzEYt3N4geoamoNMp85yJcdyVImXs\nU0E+CbbpLZI8N5GxW/T8CZuX9Sr2OkiGGl4rXq8XfX19Mb9XWFiIHTt24M4770R+fv6CH0MbSpxm\nJohaLYNgkE9+tTpN3OessSYfh9uGZl1eXWZHR7cr7uNG3p+QWGs0DHQ6DWw6A2wWAzp6XOG4dBEx\nRMaayGupojgHBblm+PxBnDg7Ev754t125u9crORZq5s+ZjrtdGwaLZN0fJF0Og1WVBfA5w+iKN8S\n8/c/6v61DAx6LSqKbPwxinguZ/6MOl3k9+I/p9qInyHquMeIJfLxhOtGxxD9OAs9NsLtLCYd/3NE\nxDLzPpN5DJvZALc3gOJ8c1LxcBExaTUaaDR8iaLwGk7kZ4kn12ZAYa4ZrV1j/PXneK5i3W/k7xOg\nCT8vDVXTq+faBbxOWY6bdZt5f1aZ3kcVT4KNRuOsZFf4t9kcfdZx++234ytf+Qpycviz8/r6ehw9\nehSvvfYaHnnkkYQf076AIn61SCX2rtCmuLqKPDgc8m+MSzb2qtJcnDgzjP5RjyLxRsrW10w8PvCr\nsnkWu6TPjd1uht0SGp7C+RR/HaSLQ4cO4ZZbbom5Onn33XeDZVls3bo1pcew282Y9LGwjvGvBQ3D\nwGE3Ii/HiLbOsfB14j1nDgfQ1jt7I1JxYQ4qy/Og0TDYc3R2/9LI+zObDeH/R14+NOHHuIffS5Cb\na4Yjl/8dsEYMekj0teQAMOLywBp6/8zJif8zCYTfOWuMwRK5uRZYRzzh6wn3ZbNNABp/0vFFxRrj\nNpG//5HxFOdb0FA1fRLEabVxf8ZclsOZ/kkEgxwalxTCFmejXc7QFAIc/5rLy5s9KSwylhyXF5M+\nPgHMzbUgL8cIkyUAa+g1UVhgjYphIc8dAKyoK8TAqBvLq/OjNsrZ7eZZ95nMY2xYbYZr0gtHjinh\nEdcA4A8Ew49jsxrAaYR8xzDvY8Z6PQmuWM2XiQ6NudEzKry+TAkdq4tWluFs7ziqy+w4fHow/HsV\n67YavQ6jU9MbGhO5f5blomIXnm81UDwJLi4uxujoKFiWhSZ0pjA4OAiTyRSz64OQAAtqa2vR1taW\n1GO6XG4Eg+nVyFyr1cBuNy849km3H/2hnaXFeSaMjMhXYrDQ2EscZpw4A7R3jcoab6RUj7uSpIx9\nZJJfqTMy0ryWImPXBPlPLaa8bsVeB8kQYlfSunXr0NLSEvN7t9xyC44ePRreEOf3+8GyLFavXo13\n3nkHJSUlCT2Gy+XG2NgUJif5JHhxsQ3l+Wb0j0xf5nK5MWKM/6mTcL1IY6NTYEJ/IGN9P/I14Hb7\nYDYb4Hb7oi53jbvDtx0bc0PDsrPuL5nX0uiEN3zbcaMGIyOxk8CZv3Mxf76xGcfHxB+fiQkPJt3T\nyUWqr/VYv/+R8bj0TNRjjI3P/TPWl9sRCLLwe/0Y8foRy7jLg8lJPqkbHZ2EJ9T/NVYsOnDhx/O6\nvRgJ8D+7zaiFxxuA3aSNPgYsi0m3H44cY1LHxm7Swl5ig9ftg9fti4pl5ush2deHBvzzmQx/IOJ1\nwbJwewMxX8OxxHo9CYTbRj6PLqM24Z+jusgKbah8ye32gWW5uLdN9jixHBd1m7GxKXCBuTuDyPU+\nqngSvGzZMuh0Ohw8eBCrV68GAOzbtw+NjY2zrnv//fdDo9HgscceC1/W0tKCpUuXJvWYwWD6TvNZ\naOztER8vLiq0KfLzJxt7aQFf1zc45sH4pG/WqoKcsvE1M5dxH//GZ9VZJD0uwSALg4ZPiNwBT9o+\nB2ry1FNPweud/oP0L//yLzhy5AieeuopFBUVJXw/wSDL/xdKMANBDoEAi0CQC18WDMz92ltR5cCw\ny4spbwDD457Q/UzfRrgfQbEj+vXGslz4/5GX2816dIVua9BpYt5fMq8lLcOEb2vUa+e9rfA7F/l4\nDBg4cowIBiKPWcTPGnHcko0vkViA6J8/GIw+Zka9Nvx9h80Y8/F1Gs2ccUW+HoIBDgENO+v7wu3t\nFgMqS3Jg0GmgYZjw5YuFTdtc9DFYuigXYxM+5NoMohybyFgBzHq+pHqviXwcNsjGfQ3HMvP3Yeb9\nAjOegwW+97Ms/1qMd9tkjxPLzX5tq+W9XPEk2GQyYfPmzdixYwd27tyJvr4+vPzyy9i1axcAflU4\nJycHRqMR11xzDe666y6sXbsWq1evxm9+8xvs378fP/7xjxX+KdTvXKgvJYPplkVqVx4RZ/fQJGpl\nbtdC4pv0h5JgvfTlCeGNcUEvOI5TfANSupuZ6Obl5cFoNKKiokL2WCwmPSwmPTp64tcAC5x2MyoT\n7MCQazNiSXkedDpNQm2z5mM26lBZnAOfn13wEI019YXQaTUYHHWnHI8U9DoNVtY4EWRZ5EjUV3im\nZI6lTqsRrztBHDazHhPu2KvcamAz6THhUW98iVJyQWsm5XdwgF/hbWxsxFe+8hX8+Mc/xp133omN\nGzcCADZs2IDf/e53AICNGzdix44deP7557Fp0yb88Y9/xM9//nOUlZUpGX5aEJLgkgILjDFmvqtR\necRAjy4amqEaLMeGu0PY5EiCQy3SWI6Fn03/PwBkbvFOceoW5UKTxAlQQa4p6S4JcyktsKKyJCep\nkzBhLLMz15wW3RcsJp1sCbAaLVmUB6fdPOcUv1Slcg5fv9ihisUgp90MBgzqKxbWbk6vog3OqkjH\nTSYTHn/8cTz++OOzvjezrm3Lli3YsmWLXKFljHN9/GaDVKYPyc1uMcBuNcA16aPxySoyFXCDCzV6\nlCMJFoZlAIA74IVBm71/pKVw++23Kx1CFBW1EE3ZkkV5GHf7E+q7u6jQhpPn+Q4Uztz03Yibzox6\nLeoWKZ9kxqPXaVCYZ0Zb91jc6yQ61joVdYtyURnIWVAyazaoIu0MU1c0RBJeXzA8cGKxCmapJ2NR\noRXHJ320Eqwik77p58Kql3ZkMgCYIpJgT9CDXKTPiVxWifHXN5MS2oXQaJiEV6MdOUY0VhdAL1IJ\nB5lfjsWA8Smf7JPRMoGaVnNTkRk/BZnT2b5xsKE/UNUKjF5MRbmTT9ppJVg9xv3TSXCOQfqTKpM2\nIgmm0cnqonB9tk7LP35Fgif3FYU2aBgmajqamtjMekkT4LICaT+5WRyq2TbqtDDo1Z9eLKt0YGWN\nc8F13mpEWyaSQyvBWeBMaNMJAyS8sUQtFoXqgsen/Bib8Mo6U5zENuGbPiGx6aVPgqPLISgJJtNW\nLXFCbzQAgUB4QMdcygttKHVak6otziSOHCO6h6T7VM1q0qN5SSF0WiYtNrBqGAYWk3JpkBo/KRGe\ntmwpyVH/qRpJWXsoCS4psKhqV2YiIld4zvfTarAajPunn4ccg3zdIQC+QwRRD1PEqqUpVOvnsE1/\n/C/1eHaDTot8uymphCtbE2Agele+VM+NUa+dd7IZUa91y0tQU2ZHdWl6LZgtVHplRGRBzvTwnSGq\nS9OrFAIAykOrNizH4Xz/BBprCpQOKetNhGqCDVqDLJvUqBxCvexWA8qdNrAsF25fpddp0VTnBMdN\nJ8Zk2szRwXLSaTVorC6AP8Aijz5VIzGYjDoU50vb/11N6B0qw41P+dAf6kuZjkmwXqdFSYEF3YOT\ntBKsEsJKcI4MpRBA9EowlUOoT0XR7NeBWMlvscOC/hE3llZI17JKbnk2A/KsRgQ5DkUO+T9ytpnn\n71RB0ktkrXfk5xzZ/KlHoigJznBtXdNN6NW6GWQ+FUU2SoJVZDxUEyzHpjgA0DAaGLUGeIM+eAJU\nDpFNqkvtWFxsy6iP1xmGQUPlwvqrEhJL5ImN3WqAxaiHP8CizCl9uVq6y5x3FhLT6a5RAHyd1qKi\n9PyFEMZo9gxNwR8IKhwNEZJgOXoEC4SSCE+QVoKzTSYlwIRIIbJdGcMwuKAmH81LnRnTxkxKdIQy\nXGsn31S7psyetn9MhM1xLMehk/oFK05Igu0yrQQD0x0i3AF1jpwlhBAllORbZk35YxiGSiESlJ5Z\nEUlIIMiiI7QpLl1LIQCgMmLK3ZnecQUjIUBkOYR8u4fNOr52kmqCCSFkWlWa9f5XG0qCM1hHjwuB\nIL/Dc4mKR0HOJ8diQIGdXwk82+ua59pESkE2iMkAP31QrppgADDrhZVgSoIJIelLq2GgC30qG2tT\naaYzqGwaIm2My2AtZ/k59FoNo+p56ImoKsnBkMtDK8EKi+wRLGc5hCW0EjxF5RCEkDTGMAyaljjh\n87OKDuqQk4ZhUJJvwdiEDzUq61JFK8EZrOUcvymuqjQn7ft1VoUad3cNTNLmOAWN+yIHZShRDkFJ\nMCEkvem0mpQS4JpSOxgwWFyUPgMtqkrsWFXnhNFAK8FEBv4Ai9YuflNcw+L0b8cjjHsOshzO90+i\npkxdZ5PZwuVTZiU4vDHOT+UQhJDsVuSwwJlrhkZDm99SRSvBGaq9ewz+0MSXTEiCI4v/27vHFIwk\nu437pstR5F0Jnu4OwXGcbI9L5FHmtIIBA71WC7tV+imEhKQ7SoDFQSvBGepoxzAA/mOXdN4UJ7CZ\n9SjJt6B3eArt3bQ5TimuUBKsZbThOl05COUQAS4IPxuAQUtTrzKJUa/F6qWF0GhoyhUhRD60Epyh\njoWS4KUVuarbjblQtaESiDZaCVZM5LQ4RsZkxRJaCQaAqVB3CpJZ9DpN2vYyJ4SkJ3rHyUATbj/O\nhroorKjOVzga8dSEeh0PjHrgmvIpHE12ElaC5awHBgCLzhL+espPm+MIIZkhN1T+U5xvmeeaRApU\nDpGBjnUMQ6iaXFGVQUlwRGuVtq4xNC8pVDCa7ORSYFAGAFj1EUkwdYgghGSIhkoHtAY9gn4/2CDt\nd5AbrQRnoCPtQwCAXJsho5pxLyqyhturCOOgibyEjXFyDsoAAEtEEjzpp9HZhJDMoNEwyMsxUi28\nQigJzjAsx+FoKAm+oLpA1rpNqWk1GtSF6oJPUxKsCKEm2K7gSvCkn2qCCSGEpI6S4Axzrm8crik/\nAGBlbYHC0YivblEeAOBMr4uGZsgsyAbDCajcK8EmrREahn+7oiSYEEKIGCgJzjCH2/hVYA3DYHlV\n+vcHnklo9xYIcujooRHKcprwT4ELVZvn6OVNghmGCa8GUxJMCCFEDJQEZxihHriu3A7OfHgRAAAf\nQklEQVSLKfN6qdaU2aENNQk/dX5U4Wiyy4Q/cmSy/LXmVh0lwYQQQsRDSXAGmXD70d7FD5K4IANL\nIQDAZNCFRyifpCRYVq6IaXFy1wQD03XBk9QnmBBCiAgoCc4gRzuGwq3RLqjJzCQYAOor+Lrg1s4x\nBIKswtFkD2FTHKDMSrDwmJFxEEIIIQtFSXAGOdrOT4nLtNZoM9Uv5pNgrz+Is31UFyyXiVDyyYCJ\n6tYgF6E38biPnnNCCCGpoyQ4Q7Ach6OhUcmZ1hptprryPAg/3slzVBIhl/FQf16b3hru1CCnHL2V\nj4NWggkhhIiAkuAM0dk/AdckP0q4sSZzpsTFYjHpUFnMrwq2nB1ROJrs4VJoUIZAWAn2BL3wBf2K\nxEAIISRzUBKcIYSuEAwDLM+gUcnxLKvk27+dprpg2QjlEDaFkmB7xOPSajAhhJBUURKcIY6FSiGq\nS+2wmTOvNdpMDaEk2OsPoqPHpXA02WHcx5dDCGUJcotMvsf9VBdMCCEkNZQEZwCPLxAeI9xYnfmr\nwAA/NEPoF3ziDJVEyGE81CdYqXKIPKM9/PWol058CCGEpIaS4AzQcnYUQZZvjtZYnbmt0SKZDDpU\nl/FJ0fEzwwpHk/k4jguXICiVBOcac8Nfj3rGFImBEEJI5qAkOAMc7eDrgc1GHarL5B9ioJQVodrn\ntm4X3N6AwtFkNm/QCz/Lb0ZTKgnWa3Thcc2jXkqCCSGEpIaS4DTHcVx4U9yKKge0mux5SoUkOMhy\nND1OYkI9MIBwIqqEPBO/GjzipeebEEJIarInY8pQvcNTGBj1AMjcUcnxVJflwGzUApjeGEikEbkR\nLUeBkcmCvFBJxIiHkmBCCCGpoSQ4zR1pn07+MnlUcixajQbLKvnV4CNtQ+A4bp5bkIVSemSyoMDE\ndwUZ8tBmSEIIIamhJDjNHW4bBAAsLrIhz2ZUOBr5rQytfvePutE7PKVwNJnLFZEE2xVMgp1m/vke\n9Y7BTwMzCCGEpICS4DQ26fGHxwY3LXEqHI0yVkaUgBxuG1Iwksw2HpoWZ9QaYNAaFIvDaZ5uATjk\noRIYQgghC0dJcBo73DoUbo3WvKRQ4WiUkWczorKEr1E9eHpQ4Wgy11goCc412Oe5prQKzdMnPQNu\nOukhhBCycJQEp7H9pwYAAAV2ExYXK/cRtdJWh1bBT3WOYmzSp3A0mWksNJzCblS2BV+BuQAM+CEp\nfVMDisZCCCEkvVESnKamPAEcCn38v3ppIRiGUTgi5VzYUAQA4LjpEwMiLpdXHSvBeo0OhRZ+Nbh3\nsl/RWAghhKQ3SoLT1L6T/QgEWQDA+sZihaNRVmmBFeWFVgDA3hN9CkeTmcZ86lgJBoBSC/96752k\n55oQQsjCURKcpj4+2gsAKC2woLJY+cREaeuW8YlRy7lRDIy6FY4ms7AcC5dKaoIBoMTKP9fdk71g\nOVbhaAghhKQrSoLTUNfARHhC2iWNJVldCiG4tLEEwlH4KHSCQMQx7psIJ5u5RuWT4EU5ZQAAb9BH\nm+MIIYQsGCXBaej9/V0AAJ2WwWUryxSORh3y7SYsr+bbZ/35cDeCLK0QimU4YjBFfmhYhZIqbOXh\nr8+PdykYCSGEkHRGSXCacU368OHRHgDA2oZi2K3K9WxVmyub+BOCYZcXn56kDXJiiUyCC1SQBDvN\n+TDrTACAs67zCkdDCCEkXVESnGZ+t+csfH5+lfO6dRUKR6MuzUsK4czlk6N3PzlPY5RFMuzhS280\njEYV5RAMw6DKvhgA0DF2TuFoCCGEpCtKgtPIyLgHf9jbCQBoXuLEYtoQF0WjYfCZC/kTg44eF451\n0EQxMQyFVoIdxlxoGHW8ZVSHkuDz4500PpkQQsiCqOMvGknIv717El5/EABww6XVCkejTpc3lSE3\nVCLy739up9VgEfSF+vEWWdQzlbA2j3/9B7ggzrhoNZgQQkjyKAlOE+f7J/DunrMAgPUrisOjgkk0\no16Lz62vBAB09Izjr8epl2yqeqf4JLjEUqRwJNNqciuhZbQAgFMjbQpHQwghJB1REpwGOI7DK79v\nActyMOg0+N+X1yodkqpd1VyOYocZAPDGH1vh9gYUjih9Tfnd4R7BxVb1JMEGrQHVuXxJRMvIaYWj\nIYQQko4oCU4DHx3tRcs5fnPSDRuqURDa/EVi02k1+D/XLAEAjE748PofWxWOKH2dG+8Mf11mLVEw\nktmW5dcD4DfHTfmnFI6GEEJIuqEkWOVcUz689j6fxJUXWvG/Ll6scETpYVWdE+uW8SuXHxzsxqHW\nQYUjSk/tY2cAADpGi8U55XNfWWbLC5YCADhwOD50UuFoCCGEpBtKglWM4zi88u5JTLj53e/f2tIE\ng06rcFTp4+bPLA33UX7ptycw7PIoHFH6OTnCn4BV5CyCXqtXOJpoFbZy5BlzAQCHB48rHA0hhJB0\nQ0mwin10tDc89OHqNYtwQZ1T4YjSi91iwP+9fjkYABNuP575/46Eu2uQ+Y15x9E2egYA0OhsUDaY\nGBiGwUrncgDAsaEW+Fmq/SaEEJI4SoJVqmtwEq/8F/8Rb1GeGf/nmjqFI0pPK6rzsfkyvp3W2b5x\nvPifx8Gy1DYtEXt69oEDf6yaCy9QOJrYVhU2AgA8QS9ahk8pHA0hhJB0QkmwCk24/XjmzcPw+Vlo\nNQxu27wCJoNO6bDS1vWXVOHCBr4+eP+pAbz63inqHzyPIBvEB10fAQCW5NWoqjNEpCV5NbDqLQCA\n/f2HFY6GEEJIOqEkWGXc3gB+8sYh9I+6AQBf+sxSVJcqP6o2nWkYBv/3+mVYsoivH/3TgS68/sdW\nSoTn8Gn/IYx6xwAAV1ZsUDia+LQaLZpCq8GHB47T9DhCCCEJU0US7PP58MADD2Dt2rW47LLL8PLL\nL8e97vHjx3HTTTehqakJW7duxbFjx2SMVFquKR+e+tVBtHe7AAAbL1yEK5vVtSM/Xel1Wty5ZSUq\nimwAgHc/OY//995psJQIz8JxHP773P8AAIrMznDdrVqtKWoCAHiCHhwbalE4mvRw4sQJNDQ0YNmy\nZWhoaEBDQwO2bNmidFiEECIrVSTBTzzxBI4fP45XXnkFO3bswLPPPov/+q//mnU9t9uN7du3Y+3a\ntXjrrbfQ1NSE2267DR5P+u/6b+0cw49/sRcdPXwCvGFlabjXLRGHxaTH9/5PExYV8onwf+/vxD/9\n+1EapjHD8eGT6JzoBgBcvfgyaBhVvE3EtcRRg1wDP0Hxk979CkeTHlpbW7F8+XJ8+OGH4f9eeukl\npcMihBBZKf7Xze12480338RDDz2EhoYGbNy4Ed/4xjfw6quvzrrub3/7W5jNZtxzzz2oqanBgw8+\nCKvVit///vcKRC6OwTE3fvG7E3j81U8x5PICAP7XusX46mcboGEYhaPLPDkWA+69uRl15XxpxP5T\nA/jRL/bi1PlRhSNThwAbwH+0vgMAsBtycHHJhQpHND8No8GFJc0AgCNDJ8JlHCS+trY21NTUID8/\nHwUFBSgoKEBubq7SYRFCiKwUT4JbWloQDAbR1NQUvmzNmjU4fHj2JpfDhw9jzZo1UZetXr0aBw4c\nkDxOMY1NePHhkR785I1DuO9nH+N/DvWAA2A26rD9huW46eo6SoAlZDPzK8LrVxQDAPpH3Nj1y/34\n6RuHcLRjCEGWVThCZbAci9dP/Rrdk70AgM9Vf0Z1vYHj2VB2MRgwYDkW/3X2j0qHo3ptbW2oqqpS\nOgxCCFGU4i0HBgYGkJeXB51uOpSCggJ4vV6MjIzA4XCEL+/v78fSpUujbl9QUIDWVvWPxfUHWPzH\nn9tx4PQgeoejR7wyDHBJYwn+9+W1cOQYFYowuxj0Wnzj+uVYXpWPX/33aUx6AjjUNoRDbUOwmnRY\nsigPq5cW4ormMqVDlUzXRA/OuM7BYcwDAwZ/OPcBWkZOAwDqHXW4tGydwhEmrsjiRHPRBdjffxgf\ndH4Ef9CPNcVNaMinkqJY2trawLIsNm3ahImJCVx22WW49957YbPZlA6NEEJko3gS7Ha7YTAYoi4T\n/u3z+aIu93g8Ma8783rz0WrlXwA/3TmK3+05F3VZYZ4ZFy8vxpWry1GYZ57z9kLMSsSeKjXHfkVz\nOdY0FOF3H5/F+/s7MekJYNITwMHWQRxsHcTSyjzk59tUGft85jru3oAXf//pP8Eb9M76Xk1uJf6u\n6Ssw6JV7e1jIa+amhhvQOtoBl28cH/XsxUc9e7Hr8h/AYZL3Y341vFa8Xi/6+vpifi8/Px/nzp3D\n4sWLsWvXLrhcLuzcuRP33XcfnnvuuYQfQw0/p9reW9QUD8USm5piAdQVjxpjkZriSbDRaJyVxAr/\nNpvNCV3XZDIl9Zh2+9wJpxQucVjxn80VKd+PErGLRa2xOxzA9hvzsP3GVXGvo9bYExE7dite2fIT\n2WNJVjLH3QErfv43uyWMJn0cOnQIt9xyC5gYZVXPPvss9uzZA5PJBK2WH8O+a9cu3HjjjRgYGEBh\nYWFCj6Gm3wk1xQKoKx6KJTY1xQKoKx41xSI1xZPg4uJijI6OgmVZaDR85j84OAiTyQS73T7rugMD\nA1GXDQ4OJvymTQgh2WDdunVoaUm8XVxtbS0AoK+vj95PCSFZQ/E172XLlkGn0+HgwYPhy/bt24fG\nxsZZ1121atWsTXAHDhyI2lRHCCEkvra2NqxevRpdXV3hy44fPw6dTofKykoFIyOEEHkpngSbTCZs\n3rwZO3bswJEjR/CHP/wBL7/8Mr7yla8A4Fd6vV6+bvG6667D+Pg4du7ciba2Njz66KOYmprCZz/7\nWSV/BEIISRs1NTWoqqrCD37wA5w+fRr79u3DD3/4Q/zt3/4tcnJylA6PEEJkw3AqmB3r8Xjwox/9\nC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"text/plain": "<matplotlib.figure.Figure at 0x11931f5c0>"
},
"metadata": {}
}
]
},
{
"metadata": {
"collapsed": true,
"trusted": true
},
"cell_type": "code",
"source": "output = fit.extract(permuted=True)",
"execution_count": 15,
"outputs": []
},
{
"metadata": {},
"cell_type": "markdown",
"source": "Look at the correlations of the posterior means of the thetas!"
},
{
"metadata": {
"trusted": true,
"collapsed": false
},
"cell_type": "code",
"source": "sns.jointplot(output['theta1'].mean(0), output['theta2'].mean(0), kind='kde')",
"execution_count": 23,
"outputs": [
{
"output_type": "stream",
"text": "/Users/fonnescj/anaconda3/envs/dev/lib/python3.5/site-packages/statsmodels/nonparametric/kdetools.py:20: VisibleDeprecationWarning: using a non-integer number instead of an integer will result in an error in the future\n y = X[:m/2+1] + np.r_[0,X[m/2+1:],0]*1j\n",
"name": "stderr"
},
{
"output_type": "execute_result",
"data": {
"text/plain": "<seaborn.axisgrid.JointGrid at 0x12711e390>"
},
"metadata": {},
"execution_count": 23
},
{
"output_type": "display_data",
"data": {
"image/png": 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88dSzqJg1GwDwxyd/j//85gP4z28+gF/8/Kd4/NHv4ZXXt/m+jtGvNdZ9X/sm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\nXEDqvYUBVEYHIh1tx7FTxHaY6qjtH05nHMeZdpy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"text/plain": "<matplotlib.figure.Figure at 0x12712b550>"
},
"metadata": {}
}
]
},
{
"metadata": {},
"cell_type": "markdown",
"source": "Meanwhile, here are the posteriors of the regression parameters: `beta`, `mu` and `alpha`"
},
{
"metadata": {
"trusted": true,
"collapsed": false
},
"cell_type": "code",
"source": "sns.jointplot(*output['beta'].T, kind='kde')",
"execution_count": 16,
"outputs": [
{
"output_type": "stream",
"text": "/Users/fonnescj/anaconda3/envs/dev/lib/python3.5/site-packages/statsmodels/nonparametric/kdetools.py:20: VisibleDeprecationWarning: using a non-integer number instead of an integer will result in an error in the future\n y = X[:m/2+1] + np.r_[0,X[m/2+1:],0]*1j\n",
"name": "stderr"
},
{
"output_type": "execute_result",
"data": {
"text/plain": "<seaborn.axisgrid.JointGrid at 0x11a8b4668>"
},
"metadata": {},
"execution_count": 16
},
{
"output_type": "display_data",
"data": {
"image/png": 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v4sH778P7H3wMAHjjtVeQuy8HL/7jFdgdDix79M/41z9fwu/v/4MnX3KfXnzh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\nZCkIID9O40n26zr6IuTWzzPYlN5Ai8tjkp3WsxvC/NJ1cjI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"text/plain": "<matplotlib.figure.Figure at 0x11a8b43c8>"
},
"metadata": {}
}
]
},
{
"metadata": {
"trusted": true,
"collapsed": false
},
"cell_type": "code",
"source": "sns.jointplot(*output['alpha'].T, kind='kde')",
"execution_count": 17,
"outputs": [
{
"output_type": "stream",
"text": "/Users/fonnescj/anaconda3/envs/dev/lib/python3.5/site-packages/statsmodels/nonparametric/kdetools.py:20: VisibleDeprecationWarning: using a non-integer number instead of an integer will result in an error in the future\n y = X[:m/2+1] + np.r_[0,X[m/2+1:],0]*1j\n",
"name": "stderr"
},
{
"output_type": "execute_result",
"data": {
"text/plain": "<seaborn.axisgrid.JointGrid at 0x11bc682e8>"
},
"metadata": {},
"execution_count": 17
},
{
"output_type": "display_data",
"data": {
"image/png": 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I0TjQdV8fvL8OF10wqc92dj/299a9jRuvuwqXXTIDS3//QL9VK38+D4Kgw9N/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\n4hZFjvAEmMDOASpc1wopVoWqWIUmieAERFvt4Wb9peG8JGn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"text/plain": "<matplotlib.figure.Figure at 0x11bc682b0>"
},
"metadata": {}
}
]
},
{
"metadata": {
"trusted": true,
"collapsed": false
},
"cell_type": "code",
"source": "sns.jointplot(*output['mu'].T, kind='kde')",
"execution_count": 18,
"outputs": [
{
"output_type": "stream",
"text": "/Users/fonnescj/anaconda3/envs/dev/lib/python3.5/site-packages/statsmodels/nonparametric/kdetools.py:20: VisibleDeprecationWarning: using a non-integer number instead of an integer will result in an error in the future\n y = X[:m/2+1] + np.r_[0,X[m/2+1:],0]*1j\n",
"name": "stderr"
},
{
"output_type": "execute_result",
"data": {
"text/plain": "<seaborn.axisgrid.JointGrid at 0x12712be48>"
},
"metadata": {},
"execution_count": 18
},
{
"output_type": "display_data",
"data": {
"image/png": 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R3BiYyO81my1YuvE4Vu8ohl10XAEXGarD+WekIzWOrUrkHRGhelx21iDkFddh1Y4i1DW1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\nAAAASUVORK5CYII=\n",
"text/plain": "<matplotlib.figure.Figure at 0x12712b668>"
},
"metadata": {}
}
]
},
{
"metadata": {
"collapsed": false,
"trusted": false
},
"cell_type": "code",
"source": "output['Omega'].mean(0)",
"execution_count": 30,
"outputs": [
{
"data": {
"text/plain": "array([[ 1. , 0.18826785],\n [ 0.18826785, 1. ]])"
},
"metadata": {},
"output_type": "execute_result",
"execution_count": 30
}
]
},
{
"metadata": {
"collapsed": false,
"trusted": false
},
"cell_type": "code",
"source": "output['Omega'].std(0)",
"execution_count": 31,
"outputs": [
{
"data": {
"text/plain": "array([[ 0.00000000e+00, 5.56033789e-01],\n [ 5.56033789e-01, 7.09587996e-17]])"
},
"metadata": {},
"output_type": "execute_result",
"execution_count": 31
}
]
},
{
"metadata": {
"trusted": true,
"collapsed": false
},
"cell_type": "code",
"source": "output['Sigma'].mean(0)",
"execution_count": 19,
"outputs": [
{
"output_type": "execute_result",
"data": {
"text/plain": "array([[ 60.88745604, 0.61906789],\n [ 0.61906789, 0.17758096]])"
},
"metadata": {},
"execution_count": 19
}
]
}
],
"metadata": {
"kernelspec": {
"name": "python3",
"display_name": "Python 3",
"language": "python"
},
"_draft": {
"nbviewer_url": "https://gist.github.com/3df0392d675647571e2ab42f31b9b64e"
},
"latex_envs": {
"eqLabelWithNumbers": true,
"cite_by": "apalike",
"eqNumInitial": 0,
"current_citInitial": 1,
"bibliofile": "biblio.bib"
},
"language_info": {
"pygments_lexer": "ipython3",
"name": "python",
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"nbconvert_exporter": "python",
"version": "3.5.2",
"mimetype": "text/x-python",
"file_extension": ".py"
},
"gist": {
"id": "3df0392d675647571e2ab42f31b9b64e",
"data": {
"description": "Frank's model.ipynb",
"public": true
}
}
},
"nbformat": 4,
"nbformat_minor": 2
}
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