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@tok41
Created December 3, 2017 10:46
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{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# 目的正味重量分布の予測\n",
"- pymcでチョコボールの正味重量の分布を予測する\n",
"- モデル\n",
" - 重量分布は正規分布であると仮定する\n",
" - 事前分布は平均28gの正規分布とする(分散を大きくして一様分布みたいなものとする)"
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [],
"source": [
"import sys, os\n",
"import sqlite3\n",
"import numpy as np\n",
"import pandas as pd\n",
"import scipy.stats as stats\n",
"\n",
"%matplotlib inline\n",
"import matplotlib.pyplot as plt\n",
"\n",
"import pymc as pm"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {},
"outputs": [],
"source": [
"def get_data(db_file='../data/choco-ball.db', table_name='measurement', limit_code=''):\n",
" \"\"\"\n",
" dbファイルから計測データを取得する\n",
" \n",
" TODO:\n",
" エラー処理を入れる\n",
" \"\"\"\n",
" con = sqlite3.connect(db_file)\n",
" sql = 'SELECT '\n",
" sql += 'measure_date,best_before,weight,box_weight,ball_number,factory,shop,angel '\n",
" sql += ', (weight - box_weight), (weight - box_weight)/ball_number '\n",
" sql += 'FROM ' + table_name + ' '\n",
" sql += limit_code\n",
" sql += ';'\n",
" sql_result = con.execute(sql)\n",
" res = sql_result.fetchall()\n",
" con.close()\n",
" data = pd.DataFrame(res, columns=['measure_date','best_before','weight','box_weight','ball_number','factory','shop','angel', 'net_weight', 'mean_weight'])\n",
" print 'Shape of MeasurementData(record_num, n_columns) : {}'.format(data.shape)\n",
" return data\n"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# データをロードする\n",
"- mysqlに貯めているデータをロード\n",
"- ヒストグラムを描画してみる"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Shape of MeasurementData(record_num, n_columns) : (30, 10)\n"
]
},
{
"data": {
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EuIlNMOVwVFU9yujn5iXA6UmOXtOx0t/9pt1HR03aUzcd9B/d8j5G+/FXp1PteMf003fK\nd+J9NK2zUMLoSPRgVX3gmG89BLyiW74Y+M4ym38ZuCTJGUnOAC7p1m2otfTU9XJyt3wmcBHwrWEr\nXt1K/ST5xe7rM4C/YPSB0vE25a9bWEtPSZ6V5LSjy4x+7g5Mo+6VJNme5PRu+ZnAqxjN638FeG03\n7Grgn5bZ/PPAVUlOTrITeAFw2/BVr24tPXXbbuuWn8+op/unUfdKVujn7p6bT551U/pk9jcZ/Vfg\nm8D+7nF5t34fo0/H9wAv7sbPAR8+Zvs3M/rQ5V7gTdOoeciegJcCd3Zj7gTeson7uYbR2RvfBv6G\n/7/465eALx6z/eXdmPuA92x0P2vtidEZNXd0j7s2Q0/ArwOLXT8HgL88ptbbuvfHZ4GTu/VXAH91\nzPbv6fbPPXRnSm30Yy09Mfrw+a5uH90O/P4m7uedjI6wn2B0kHc0C9aUdV6JKUmN8kpMSWqUAS5J\njTLAJalRBrgkNcoAl6RGGeCS1CgDXJIaZYBLUqP+DzkRjerubGE5AAAAAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7fa0b1952a10>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"#data = get_data(limit_code='limit 1')\n",
"data = get_data()\n",
"ret = plt.hist(data['net_weight'], bins=np.arange(28.0, 31.0, 0.1), \n",
" color=\"#0000FF\", edgecolor=\"#0000FF\", alpha=0.3)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# 正規分布のパラメータを予測\n",
"## 最尤推定"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"mean:29.4786, std:0.269398896652\n"
]
}
],
"source": [
"m = data['net_weight'].mean()\n",
"s = data['net_weight'].std()\n",
"print 'mean:{}, std:{}'.format(m, s)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## MCMCによるベイズ推定\n",
"### モデルの設定"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {},
"outputs": [],
"source": [
"# 精度$\\tau$(分散の逆数)\n",
"tau = 1.0 / pm.Uniform(\"std\", 0, 100)**2\n",
"\n",
"# 分布の中心\n",
"## 事前分布の中心として、製品仕様の28を、tauを0.01(分散=100)\n",
"center = pm.Normal(\"center\", 28, 0.01)\n",
"\n",
"# 観測とモデルを結びつける\n",
"observations = pm.Normal(\"obs\", center, tau, value=data['net_weight'].values, observed=True)\n",
"\n",
"# Modelオブジェクト生成\n",
"model = pm.Model([tau, center])"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### mcmcの計算"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
" [-----------------100%-----------------] 30000 of 30000 complete in 2.4 sec"
]
}
],
"source": [
"mcmc = pm.MCMC(model)\n",
"mcmc.sample(30000) # バーンイン無し"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### MCMCの結果を確認"
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {},
"outputs": [],
"source": [
"center_trace = mcmc.trace(\"center\")[:]\n",
"std_trace = mcmc.trace(\"std\")[:]"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.legend.Legend at 0x7fa0aecc7f10>"
]
},
"execution_count": 8,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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AAHDvsK3iIPCvUsrgdPftbKbMs6eEa4psvH9NDfva3GxYWDbiR3RpVQFf3bQ0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2SwPUh72Ms3j03T0eDFWLGQGzqT4tsn54hliw5JtytRxFA0TPwehXzJwCNLfOZ9g3z/3DLTiTxn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4wwNHZmrVrki2Prw1ltdwyCJup0C+ZNQJ5SpvvaaH9+9bX6sKJwplzi6kmFjKMRLOYgl2nm5e\n1ZAlgbt39fDjkyHShTLdATdv3tlLX0uaI1NxOn1uUkWVh88sUtAM7rm2rxbl9q3nJxgKZXjBjLKu\n1d4Gj+Xt6yQC6yspGrpl0epV6qwSZxcztHgc9LW4GQ1n8Dhk0kWdR4YWmE8UKBkVa4oski1pPDce\nIZJdbY41sBdP7R4FAwuHKPDgsTni+XLtPEzsYSDLsQCvUyBTtJBEO1Jv/5YOtnT5KOsGJ+biZIom\nVuVdC2dUtnV58boUru33s5hWieXKNfE3n1b50mOjIIIoCKhlHdWo9yPrlm0rSaqrJaMiQH+rm1s2\ntuNzypxZSDGymOYnJxcQgFNzGV6ciFPWTTSt/vmKDCXdoMWtEHA58LmcDLTZk+uen4gx0OahJ+gm\nns/WdhgkUeC7R2fZ2u3DIYsML6TZ1RtkLpnn/sNzF87bNJc19wmUyhYuWaLFLZEpGnXi16dQv0MB\ndPgVQukSvS1ufE4Z07QAHcO0KJnwk5Mhipq5qokR7AWlA3jjlg7++bmJVd+/aUPwNasKQ1MMN2nS\npEmTq0z1Q+vLB0bJqgaHztvbm9VUhpV0+Bz810dGVv27iD0o4NB4jO6AiydGlrAsi9dt7uDPfnyK\nhaz9aXwylOVkqL7Kupgu8vqt7cTzGrv7giiSyKYOD8Wyzni0wM9PL3B+KYNhWCxly4gi+J0yyWUd\nSpoFjw6FuWlja60yvBa6bjIezdHtd7KUVhsK142dHvZuaOXcQprTCzmGQhn+y0+GANizroVQMl9/\nTAss3cSwBERrtcBWRNue8cTIEjlV565d3TxyeoHvH5tHrzSLtXoU3KJJR9DJB27awO/euZWBVg8P\nHp9jsMNL2TBo8yh4HTJFTcMwTGLZEo+cXrQr2DmVb784zXA4V/e+OCU7Sq2/xU2bz8GfvHUnTwyH\nOTAcpt3r5NYt7bWM3WryR6qgIQpQ1k0My6DV6+R1m108PWJ7zC3LIpzJk20w0GE5BhZv2NzJ4YkY\nRU3HKdkCuFGlskpJs7hrZydeh1SzIAyH0mSKGunihWc6ZQFVt4jnSpya07ljexdf+80tfOGxYZ4e\njVbOvWKbMIAGJoJqFTpZXH1GAuBzyTgVifFolpdmkpgW5Es6pglel0y29AzYrQAAIABJREFUpDOX\nLNWeI2Fbg/auD7KYVtEMC6cictvWDk7PJwmlCuRVlceGFtnQ6iGWU/EokNfA5xDQDJOZRJ6pWI63\n7OpBN0E1TI5PJ1advWXZ51yolMM7/S4+cec2zi1lmYrmOD6bZHdvkOfHo6DpeCvDWlyKyHUDbZwJ\npZhNFMiWypQqQr6q51XVpEH/X42yaVeqe4IuJlYkZxydTvPQiVDdAJqryWWLYUEQJOA4ELIs6+2C\nIGwEHgDagJeB37Isq4Er5tXx0IkQh8Zj7N/S8ZpdhCZNmjRpcvUYDqX5zpFpIpXK4XL/bzWVoeoZ\n7vA5mIgXGx7HBEzToifg5A9/cALNtFA1WxJWhfBabGj3Mr6UtfOHUwUG2jxMRPOkSxrziQKSAPOp\nC6rLNKGora7nvjQT5YYNHQwEnYTSKgKNq77ZsknAJfGZe2/kUz86yZGJJKIEggUlE5xANKdyeDxG\nvmx7Z8VKB/9DpxaQJBGjwYE7fQ7etL2b49OxOoEgAm6HyDcOTSFLAg8eneEjr9/Id4/M1Ebigi1A\nLSCSKfPTkyF29AR4+twSXqfMyEKK+WQJSRIAkx09LRybinNyPoMAnF1MkSwYdT+z2jxVqlRCr10X\n5F171/Gdw9M8dCZcq/oNdnj5+G2bKykCF6Lf2jwOHIqIQxT53jH7XG/d3MpAq5fNnT6+8uQ5GgnM\n5eSKOueXspQ0jcKK26DNI5IorBahFgJnQhk+845reMvuHsDOqi4bZi1JAUCt7E7ECwbxgsG3D88x\nFs6QKOiYFSF8KariL+CEzAphbwHJok6yaC+cPA6Zje0+zobSFDSDkrZaLlrAR14/iM+l8OJkjDaP\nk7lEAUUW+egbNvHAsVnCaZVMKc9YpH5BtanLj8chs7svyJGpOKFUAVXTefTMIvkGVesuv21pGg3n\nUA2LAyMRhuaT3HNdP0en7JHbZcPEqiw9qsNaAm6FqVgOEbhtayc7egMYhsXPToZYrDRDVgVim0cm\n4FKYTxZZsRnEaDjDR/dvIlvUOL1wYQEmidT84a8FV1IZ/iQwAlSNWl8E/sayrAcEQfhH4LeBf7ia\nJ7dW5l6TJk2aNPnlpDoaeGjZBxnYFZ9D56N88dFhJqMFdvT6OPWXb+W9f/88xIu1ipyE3SRULapp\nJoyFsxgWDLR6mUvmOTy5uosdoMsrU9QMBtq8bO3y8pNTdr5uqpBnY4cPSRLZHnRxZi7ZMKKqtPKT\nGYjkDB6r+DY9EogSq5qhHKJA2bQIJUt8+YlRnpuo2CoMuHlDkFReYyxWQC0adX7pqrAaCqXY0uVF\nbOCvaPc5ccgwv6JS5nGIaLqJaYFhWOQNuP/FaQzBQKiM3oULslI1LOaSRQ4ML/HMuQiZooEigcsh\nMxDwEM3Zj1RkCcOyxfpyIQz1lVeHJKAZFqPhDP/xgZdrokiqDN64//Ak3zsyw+s2t3Pfh/exqz/I\nrv4gc/ECX33qHOfCOW7d1MZt27sIJQqMR/Ns6vRx88a2uir8pnY3v/fm7fzFQ6dIFO1z1C2IZUvc\nsKGDkcW0bSepvAftXje7eh0X3gPsCnab10FB03jkdIh1LW4AQskCTkm0xxRjV2A3dHiIpEtkK82V\npgWHp+sHpVwOmzs87OwLMhnNMryYwyHalc/lhDMlZFFgaCGNIFi8/dpecqpGX4ub7xyeq90KJvDz\nUwu0+BwsJAuIoj0S+pvPTRJKq2SL2qrlQ1Xgjy5k2NrtJ5wpMdDq5jeu6+f4dIK5xCL7NrQRcGcY\nWtZcOJ0swbKqNNgLz288N1372uOQ7DQW0V7odXhlbtvWgUOWAAFZFhlo9bC5w8ePXq6fWqeI4FMU\nFtMlhAYLi1iuzNBcapVQF7iQrvFacFliWBCEdcA9wOeBPxAEQQDuBH6z8pB/Af6CqyyG18rca9Kk\nSZMmv5xUJ8N1+ZRaigHYDVa/8+2jNZ/h0GKOt3/1Wd52bR/HZ1O1itzrNrficzl4YniJgEsmU9JJ\nFOxmqVCqgCIKpIurq8KKCH0tbk6FskxEc5yP2GK8KrLnkgWCbpnzSxlKF9urvQgFg5pY9TlFTNOk\noNkNYQB717dw/+Hp+uuxkK6r1DYio5p8+/Ac6wIu8lq9EGnxOJiI5pAdIn5FJJ7X6Qs6ecvuXiYi\nWX4xHq81iqVUA6ck4JQsrEp03XgkXxNVum5ycGShJshVA8pFnXE1Q9mEDa06gmCirXG+LtGu+I5F\n8rWs3PFofbNWdT2RLtl+0eW7AnPxAh/79lFGl+zq5ZmFDLGcymNnw5R1i+8cmeZrH7wRoC65Yy5e\nIFWsV06pok40WyRbKQ1X34O8qjOT0Lm+3084o9LidZAqaBQ0jZJqciaU5ZMPnkAAHLKEYVn0BRz0\nBj38zh1b2DfYxicfeIlnxhr72y+X7d1+TNNkS4cPRRJwKxKHp1J1j1nK5vHIDlJFDdOyeG48Rm/Q\nxUJGZbDdzVS8WIlIg8VMiWhexTQtXIpICYFoxU9iNTjPWqXbhKHFLAGPzBfffT3ZksYjQ4sspIss\npou1+L4r4cxC1p68J9lfx/I6Dx4P4VYEBlo9vO2aHgZaPfzs9AJuRUYWNPTKgiPglpBkELBwOES0\nFSsEj0NC1Q3SJQ1nZTCLJMK91/W9pvrvcivDXwH+CPBXvm4HUpZlVf+kzANX/SzXytxr0qRJkya/\nnOzuDZAqlCnpJg7A5RTZ0RPAqcgcGq/fMx5azPH7dwfY1ulhrCKqnptI8padnYgCZEo6ogDvuWGA\njR0+XppNcn4pwzPn6jvsB1vd+FxSzTesLitoVkX27r4Az56LohpWLRXglVB9rmlCV8DD7l4/Q6EM\nb9rewW3bu3hsKMxc6oKgbTCZeE3iBRW/kxWeWQu1bFAs23mxXofAnTt7EAQLSRRocUukikbtvByS\nRdkU8Dhl4vkSbodAruL/7Ao4WUjXvwcWdnUP4OhMmqBLoj+o0B10sZQqElq2z79/eyeRTL1Yvxxe\nnLArvd87Osu5pfpt/IfPLNZi2oqaxbeen2RTp5fJqG1tqebRelY0bJlQE9UAQaeEUxEJZ1RMYC5p\nn3c4W+buHZ14nRJnQll29AY4MZtAQMDjkIjkNGTBHkDy0kySbd1+vvqBG/nS48O8NJMk6JLrKsOV\nsIiLImFPJTRMi0fOLCIgoBurVxjpIqS5sM2gVsZUN8KOSrPfR3XZsSSBmjVFxG7OE0RqGdBVXphI\n8sRwGL9bQRZFbtzQxmQ0hyKJl3g1jbFgVSJEUbMYi+R58Ogst2xuJ6tqWJj0Bt2EU0U0IJ43SOWL\nGIBomLX7tlqFL2kmnX6XPQSn8kvqkkRaPc5VUw2vJpcUw4IgvB2IWJb1kiAIt1f/ucFDG/5tEQTh\n48DHAdavX39FJ1ddBTQ9w02aNGnyq8F4JEckU7KTJET43Dv38PmHh1jKNS7HfuI7x1d9qCbyGp99\nxzU8MxbFrYg8M2anOhTLel3maqtb4r03DnBtfwv/8cGTq47d61fob/Vyx44uBEFAEGNsbvMyFkmR\nKb4yOaxgex81w2QpVUDTTWRJ4Oh0kjdt66avxVknhhvR4pIpqjrqilPoDrhQDROPYhLNaUgCvDBx\nocnJNCEgi+zu9fM3T44BAnrFaFx9TFfATTit4nfKZEplXIpMoaxhAr1BN4JlMZ9Zu70nXTLo9Dvp\na3FjWSaqYWKYFiYGR6YS5FU7VeByRGGVbd1ePv4vx3hqJLJKKKzMKx5eSNVi0r59eI6ZuG0L+OAt\nG/nekak1Y8rSqoGoGg2b6J4ajfLpe3YyFS9wfCpOKl/G45aZjNoH87nsdIufnpzn+EyM12/u5Ddv\nHuRz77oOgN9/4GUeOrWISxZp9dpT5qaTa7/HBvCzUwts7vKhSBJ+l0wk1dgX/2oxLAg4BURRxClL\nqJqBZlgEFItMqf5qf/nAKO/Y249RSY1wKyK3b+9ieCF72e/l5XByPsXu/iA3rm8D4NhEjLllr7/6\ns1yKiM8pE8mV7b8XwIZ2D8dnErR5FfKagaqZbOjw4HHJa444vxpcTmX4DcC9giD8OuDC9gx/BWgR\nBEGuVIfXAQuNnmxZ1teBrwPs27fviv/63Lu3vymCmzRp0uRXhEPjsQveSAv+5N9OUljjk7a3xcli\nanV0gG4YtUSKP/3pEKYFT40s0eGzh0HIop23GnA5ePPOHv7iZ2caHj+W17h7t5/peIGegBNJgKl4\nFkO36PEppEv6qjg3gIEWJ5mSRrpUL6129vjIqTrhdIl1rV7mk3ki2RIdPifJQpnzkSyDHQGOTqfX\nrDw7RDAxVgnhoEtiW08AVddxSCLPjUcREFdFa8ULBj87HULVTSRRrPmXnRJ0+Vy0uh1MxYqEUtVx\nxBcu/vHZFDu6vXjy5TXfE4B1rR7ef9MAoUSBLzw2gmmBqll4nCJtHpFoXqsd9VJV9la3yESsQCKX\nxuDSIjq74pq/PJNkY5ePWE7ltu09DC+kmU6s3XDZCEGA4zNJFAGWKhdMLeh0eWVKmm25AMiUNGLz\nZcajBZ4cXuK/vfc6/C6FFo+TmwZbMUwTlyIxGc2t8ZMukFNNzsxl8DpFknkD07IF1yt06FyUrGph\nYdDhE9BNA80AWV7903KaxXePzrO9x0eLW0YSBcYjOfyV3YWV+BSBsm7VDRy5HAbbPQwv2tX0gVYP\nP1sjHuS2rXZu8FOjS5gmWAKsb/MyspgmntPQse+vVF5DkYS6YTBXm0uKYcuyPgV8CqBSGf5/Lcv6\nkCAIPwDei50o8RHgp6/ZWTZp0qRJk18JhubrM3nXEl0iEG0ghAEi2TKf//lZvnN4xh6UINjbxPmy\nXcmrenAVWeSrT59DEsVVDUruyqjl+w/PocgComD7Dp8aiVDWIayt7V9wyDKqVn9u77uhnz3rW4ik\nS3zjuUki2SICIAgCqmHbFHxOme3dvtqYZ7A/zJ2VqK2NHR529QV4+HR41c/c2O7h8EQUn0NGFERK\nGqwl7xI5rSbgqqgGhNIlYgU7D7fX56h18S9ndClPZejcmsLUIQns6W8hnC6xoydASTNYSBXJlTTS\nK56wlk4SAI8i0OZ1MRUr1F6JueyalBq8vBWTj/G5Fd55XT8zyTzXr2tF1fQ1xfBayAIcnoyv8pon\nizpbu7wMh227RVa1kyU6vA5Uw+QHx2c5NpMkldfwOGVSeZXIFfheTKDDo1A2LELqxcO2FBEcsu0V\ncCgygiAgi5BTDUQscisvzDKq34lVdl8UQBFF1rW4mF+xS2EBc7EcS4q9O9HoPaiS1yxaPTIiJrGC\nyeZ2N60eheNzmbrHuSXbry+KIn63zKZOPwKwsy+AQxQplBsvAQqawVjYFs3tPgfRXJlfjC+RLZq1\n1yQAqWKZVo/ymlWF4dXlDP8x8IAgCJ8DTgD/fHVOqUmTJk2aXCmCILwV+Cq2xvkny7K+sOL7/xfw\nu9j6Jwd83LKs4at9HnOXECoC8NHXb2Brt59/eGaCmeTqx+uGXte9Xm1kyqsWXgV8LgW/y8Fbr+nl\n+HScYtmk0++kUC5T1i3yGjUxKgrgdynEcmW+fzyESwZZFtAuIi6mY/k6kSgJIIgCkiDQFXTxvhvX\nkSvqTMbzhJJFUnkNSYJfjEVYyqo4JGqT06qe3N6Ak7/94A3cf3imoQCt+p0zy0STQwS3SyS9LCpM\nBNp8DqSl1ULWBIIumaJWJtxACFdp8cjE8/qaFdqDo1E++cDL7N3QSiSrMr1MzCoi3DjQQjhbQkAg\nVSiTUVcfScSeJvaLc9E6Sd8fdPKJO7fyV48MU2oQ7bWSxbTKFx8b4dq+AMOhLMUG0WMXI+AUGOzw\nMxXLN2yIWznoxLIgq+o4RZHvvzRH/iJl0epku5299vEzDV7PVPISockVnDLs7G1hz7ogglCdlCdy\nLpIlnlc5tUKArnkc0b4PiuUy+aKdgFIy6pdVJR0s4eJCuEq2oNcaNCfiRTY3MMkWDft7O7q9TEZz\nhJIliprK0EKa9a1u+lq8ZAqZujq13ykwFcujGRaaCZFKxT5fOam6hZoFY+HLe/2vlCsSw5ZlPQM8\nU/n/SeDmq39KTZo0adLkSqjkwN8H3I3d0HxMEISHVojd71qW9Y+Vx98LfBl469U+lx09vlWVo+UE\n3RL9rR4kSaSsNxY2iTXKyYZFRehqWJad1DCfLNATdDEbL5MuWqtqqbplxzVBpelHr/7f2qz86YYF\nb9zcwZu2d5EolLl3Tz+//pVnCC3z3uqGPR3NI6+egAawvs3FV548Vxs/XcWjiBTWiG8omxAUq+m+\nNiZgGMaar6Aqgi/2CuP5iwtKzYJnxmKMR7Kk81rdNdVMOBlK0e13sbPXz+hSlpxaXHXdDeAX49E6\nO4gswL7BNoYX0w2FYxUHsFzKqwYcn8vglgWsFa9seUZwIwqqxelQ4/vR71Jo8yi1SXoAmzvd3LWj\nh9MLKcKZiy/sJIFKXnWRvhY3hWh+VXLI5VojcmVYyhRxKW0cPBehO+DCskw0w2IhUbj0ASpUL+ta\niSAASiWlYTmNqvUWF0ZaV5mOFde0xkxG82BCWTYo6HBsOsnx6SQ9AQctXrnuOkuCRDhZXHX86nu5\nPFbOsOzUkrl4gYF2z9ov7FXQnEDXpEmTJr/63AyMV4oUCILwAPAOoCaGLctargi8vPJAhTUZDqVX\nbXNXUUQ76msxlefvnxknV9AoNXisQxIoX2KygQlEchrMp3A6ZHoCHsbCuYtOIHs13DLYwrUDdmza\nwdEIo4upNRu5GglhgMVUiSMN8mrXEsIAXodIsoFwvZLc2ytpdFvJ/Bo2Fs2AhVSJpXSpNvLXLQur\n/NfqylO34NxSltl4nrXwOgQkQaTcoNrcyN9dvVVEwK2sTu9YS4h6FJF9G1p4erR+ceJ1KjxzPkoi\np65KZFhJi1siVjAo5vU1FxhXUseeTZb41xencTskFAEm4wW2d/tqiSgr2d7to6/FZU8NzGlkCmXm\nV075aIBprBa5b9/TQ8Cl8N2jcxf9w2AALW6RVIPpelWbUtUVoUgCumHhdMi4oU4Mpy4j37BahN7Z\n46PV62A6kW+K4SZNmjRpsib9wNyyr+eBW1Y+SBCE3wX+ALv4dufVPolqxnAjNNPOCcYCj0NZM0LK\nqVxaDFeJ5DXEvEYoWWwYcXQ1uK4/wDv2ruNHL83xdwcnLvl4ryyQbyBe4vkrG9AqAsWy+aoF/p6B\nIG/c0nFZ576SizXHmVAbVmEBXqdIUV9bPUqA2yGwkC6Qb7BiqkXWGRZao1F8a9DqljFMg6JmVXzW\ndjNh0C0TWSPBpNuvsHeglSeGI6sWCm6HyNhSDkm89JWPXawL8RVS1gwMw+BUpcJ/fDbNSqesQxIQ\nBMCyODOfpt3nxKWIZFatPhpT/c2rVq37/HYWs2laeBSR/MXKytBQCLsred7Lv1P9PXZJIgvpSzcd\nrsRVGb6TLGhs7ITBNu8VH+NyeWUBc02aNGnS5JeJy4q7tCzrPsuyNmP3fHy64YEE4eOCIBwXBOF4\nNBpt9JA12d0bQDftscTL6Q047Z9vWuzf2olpNRYRASf0+p1X9DOrJoKLyRL/K2xCb/FI/No1vVy/\nroV/PTx1eecjrRZ6DmBbt++ynv/xN27k3Tf08fHbNr0qISxgb+EXygZnFtLcsa39io9xOUuSWvNW\n/uLC0OMQyZYt0suE1HKRVz1O0ai3SFwKTdcBkRvXBwH7frCArV2BVY8VqQ5n8VLU7IWGskwF+RR4\ncTJFQTNrWc+v1SJrLSxxddtkVbxWr5dhWqi6xblInlhe49xSjvNLGYoNqumNqL6mqnReyJY5NB7n\n4aGlSwrhNc/bXG1RAtsaE0oXSV95PHVtCmW6qHPn9u7XrCoMTTHcpEmTJv87MA8MLPt6zbjLCg8A\n72z0Dcuyvm5Z1j7LsvZ1dnZe0Uns6g/y4Vs2sLHDxwduWsf16wIoIixWtm5LFV9to+336/v9XD/Q\nxlj0ypICdOyoNae0tmy5SC/ZmgjYY47bPApfPzTRsBrW8Gc12KUuAyfms6u/sYIun8JAh4d9G9pI\nFi6v8aoRMhV7hAXnlnIcm0owvJil3fP/30d+duUsYlZv1V8MeY23N6dBRjU4PG1Ht5nY2cVHJu2s\nYo9sCx2XLLKu1Y3fJfO2a7p52zU9tifWrD/WSizs51+3LsBN61cL7KuNpsMaVnpEsXJfNlilFLT6\n6yliL8Ia4ZIFfA7RTrCo3BIX+fW5LDzOxkYDRRbob3l1IlaWBOZfo5zmKk0x3KRJkya/+hwDtgqC\nsFEQBAfwAeCh5Q8QBGHrsi/vAc6/FieytcuPxykRyaoMdnj51Nt20uW1a1ruBp+Xb93dzaH/dAeD\nnT6eH080PGb1c9otX/jI8jtFdvb4qOwW86pm5y6jKqx7/E529AQYj+bJFPX/JR+WDkni347NMjSf\n5smRpUs/oYK7vhCPTr1XNV82WcqWiRdeneliuSB1iAJeRUQWIOCU1n7SVeCaXh8Bt8SunsbVdbGB\nkKu+/oJuC+SSbjKbLJIu6PzzoclVY7MvRnfAyf6tnbxuc+PF4dW8N2RZQFnjchrm5Rv9TdausBd0\nC80wafMo3DAQXFNgXy4+BRLF1Qrep9i/u9PR+oWgLMCtg0G6fauj0hr9W6ao4ZJf29/Apme4SZMm\nTX7FsSxLFwThE8Dj2EXBb1qWdVYQhM8Axy3Legj4hCAIb8YuICWx8+GvKnPxAt87NoNLlihpOv9h\n/2Zu2Wxvz3/u4REafF7yzPASH7p1A6dm02taHWpb6Mta9bOqyUjY9iEa1itrEvM7VleNdRN0LCI5\nlcWsyrGZFCJ2CkZy2WACCegJOkkX1FUVxVsHg8wnihed9NaI+XSJ+XSJU6FLV5GXUzRYM8XiarLc\nCl02LUQsHLKIaVm4ZDuy62rS6ZMRLHtsN0Ci0Nh3eiXrIANYymksrdUBuQJZgFhG5WsX8Vy3eSVU\n3UKUqIvBeyWUdWvNivnVvLyqAT1BF2/b08+1A62cmE0ym8iv6bO+GF1+D7kGiRduh0Jfi4vz4fr7\nWbfsJlCPLLCz28u5pTwORaDH70IRhVXvjWbClx4bYXdfsPb35GrTrAw3adKkyf8GWJb1iGVZ2yzL\n2mxZ1ucr//ZnFSGMZVmftCxrt2VZ11uWdYdlWWev9jlMJ+xoqd19QURB5ImRJYZDae7e1cMHb15H\nj2/1xm3Jgs8+NMTUZcRHKVfxE6vbJ1/UPrG8UmZie28HW20/s4C9ZW1ZtqhYyX99716+9x/eQFuD\nUvhrVUN9rYVwIxRF5HWbO1jX5uaO7V2X5a/d2e3Fc4mL4FZEvIpAQdWJXCIG7rXCLdnvs25d2s4R\nyxuYpsn+zV3cvnW1WLvS93yltneIsKXj6vtlT4Wy/PnPhvnGc9Ocmk9TWsufcRG8Mvz6np6G3+sK\nuOgNelaNW69S0C1GlvK8b18/27t8RLJFzsca/x0oGvClx656LHqNZmW4SZMmTZpcFQbbvMginJxL\ncno+yXyywEMn5wFo97vIrtHtPhZt/AGoiPWezlfY21Oj3SPhlGXu2dPL/Ydnrui5qgFORQbUmtc0\nnFHxOWH5sLr1rU6eOBvmfCTLQKubRLG+Knb18wdee7yKgN8tE87Uy0JZkuyhJk6ZQ+djlzxOr19h\nMVNCViS4SGJEUTNRhFfufHGI0OJRyBY0LtPqvQrNuLLswbIBqm427Lh7te+5zyVz9+5uIodnKarG\nFXmtLxfNBO0VNLnldbhuoBW/UyC7Ysb42cUsZxcvvcvx/eOhy7rWk2sI5atBUww3adKkSZOrwkC7\nhz+8ewdfPzTB2FKWsmbZecBALKdd8VbkqxW/K9nS5WOwI4BLkRpm1l6KsUh9Pq4JZFToDziIZMq4\nXSJzSZW/enT0Kp3xLwd5zcKprJZ0maLGC+MxOv1ONMPC67CHR6xFNKehWxf0oqsyHW0lDuzBH6/U\nxtrpc7K128vwYpbiZdohVnKlNVLNhNHFDHOpxoqy1S2SfIXKXBbtyY4fef0gz43HODF3+TnT/yv4\n2L++tOrfriTf+nLf594W1+We0hXTFMNNmjRp0uSqMdDu4cb1rTx+NlyXiPBaDcS4XHwKnJlPc3I+\njWHYHfWlKxTEaz26bJi0+RWWsq9Fze6Vsac/QLvPwWg4S6ms1/mdXwmJBl5YywLDNInliqhGvWWk\nY8XEMbjgOa5eR79bRizpqyweZewpaZJgv0ctbplssfH4aAHo8Cm0ehTGInblMJRRCV3G8In/yd6b\nx8lx1nf+76f67p7unvsezei+ZcmSLYMtfOHbmGNtThMCBDYJ2SWJSRaWzRLyWxIIIWGTQLJAnEC4\n7cRAbAx2sAwytmVLlixpdM1oNDOa++77ruf3R3W3ume6Z3pOjeF5v17zmu7q6q5vPVXd9anv8z2W\nmmJCGCgqhD12Df8cfZFHgkkePzmEADbUll5rd7Y60Qtla52LM8PFm6aUpW+Iip1tXrvAV6jbTgm0\nVak6wwqFQqF4DeALJxgPxdnS4JnhfV0qQVzvtrCn2cO1bRUlre+yCBorXYSTxvR3UjJvITwbk+Ek\nIwsQwgJwW0uraeWylLqeifU1TvauKUdKCEYThEusPzsX08ub6Rie3ULe4OlCuBCjwZlCOEMidfkY\nTRUQwhlTJIbHOSOEi5VgW62EonrJtYwl0DESYn2J9XYlUOJpUzKzCWGAWMKIty4WJ71QIQzwzLkR\nDl8YX/D7Z0OJYYVCoVAsGS9dHOfUgI/2vsJl0haDCdhc6+S+3c0IoRGOlybydF1yPn0Rz8ShNnls\nSyackvOc0rcIw5tZ67YQiM/9TgsU7NpWiFAixcB4mG++2Msvzo8RiOnEluguZAnvHxaFmeLjPZeN\npiugejRmlr/LkGL+3tuu8TAFclELYtbmvkFYX+3EYys8MPMdLpMGFotp1hCJ3KY8mc8v5ato1jSO\n9k7O06LSUGJYoVAoFEvC6X4fX/zZeV7oHF90TdtCfejsFuifivJa9BGuAAAgAElEQVRvr/RxdnCK\nUwP+kj5ruo60meAtVzdht2jYr4ArMSGNGOqJEuNZ5+tzjuiXY25fY47SOTFhhFfMB6/dRHWZGadF\nK9oufDnRMaohLNWxkEBLlZsKhxnXHCVWoilwzdLU0YTR0tpf4I6pxmWd981Da3UZ/kKB4Dnkvp7Z\n6lw3BBpQZjOzd01ps0HzRYlhhUKhUCwJ7YN+dB0qXAvsf5xDoYjPUAKCcZ3xUGJepcSS067zW+rd\nBKIJ4gljivpKCcYSnb0LJvPxxbySK43AaLm9GG7bVkv1LC27C4maLQ0ePve23ThLDEmZC7dNo9yh\noQH1ZaUL88zxmK1bYqmcHQxg0uSc7ZMlzN4KWcCJSzNvKqtdFqrcVqpm+S6bxcxGOheHC9eCLkap\np+ZtW2v54jv2qDrDCoVCoVjdbG/wIKXOVCSOa2YjqRWh2mVmS11+os2mWidNOSrs1f4A33jxEnEJ\nkaRc8iSjjNSxmaDWvfgbg8VgElDttpU0rW7R4CM3rafaZVq0OFhX7eSBvY24c6bfq1wai81rS+o6\nH79zK/ftrC94E1NIGo4FYty6rY7kEoROmwFd15mK6OjAUDA575upKpeFe3fVL6rmtASSC3Rz28Tl\nVs1mTRTsVPfA3hY+/aYdPPi6tqLx6knJjEY68+18njkkc51vu1rKl00Il7J9hUKhUChKYluTl0/f\nt5PXr6tme9PyTGfOxa1b6/jJH9zEPTvqqHSYua7Ni1UTJVcXWArf4W/d0Eb3Z+/h8/fvZmS2zh4r\nQFLCpanYrCXPMuxtrSAaT2LSTGxtcC9qu5cmwjgsJsqslyXfWChfvDnMAts8w1Re6Jrgr58+yy86\nxvLCQLbWlVHtLCxpyuyG+/L6DdXz2lYGl8W4UbBohtgOpeNWMlubfjM1l8gd9Mc5N+hfdP3hqQUm\no8WkIVo1wO0ofNc6HIhy7NIkPz83TMVscRZLxFyJfp9/6jxfemZZOsgDqrSaQqFQKJaQ/eur2NLg\n4ZmzwxzvnSSe1j9lFma0LZ7OfGqTFmJ9tZPfvmkjp/t99E1FCESSvNg9v5qsC5EXVhMIHWrLbdy5\nvYFP3rsdgB+fHFjApxWn0WNjYBlLhr3aO8nhi5NIYDgQX1RproQO33jx0qzrVJVZ8UUSxOaRmReK\n67QPXp6Kz7yzezQ4a4ON5zvH+MjNGznaM8HQPCt/1Hqc1HlsnOidzIvfzmxOI98j3VhuZyoSJVDk\nUEmgo0ijmZVEB8aK3CU9eXKAx4/N39O7UGKznAJaugHLwbMjfOSWjcuyfSWGFQqFQrGkeJ0Wnjw5\nkBXCcFkIVzlNNJa7uHNHPf/3P8/nrdNc4eDGzdVziqhiXBgL8xtffYEBX2zFOr157SauXlNJ31SY\nB69r5ZrWSh45cgmbSeMX50eWZBsWDX77xvVcu66K9z/80rJVdZheirjMrlFfZi/aInehmACbReOa\ntVWYNXjk6MybhqvXeNlYW8YPjvUXbHltJr8xxmxC+NU+Pw99/xgb69xc1VLJ1Zrgx6eGSrb34ngY\nh0Ur2lY4d9MmYHAqSoXLQiC28LrTy1EjeD5MD39YCC6z0aFusWQqwNiXuk5cDkoMKxQKhWLJOdxV\nuLSajsYf37WFl7rG84QwgMWs4Y8muXlTFQfP59cTtVKal+qSb3mbLdyzo45ESjIWjLG90c2R7inO\nDvvRMKppPPLyJRACXziG2WRiKQJVK50WvvViDz94pW/JhPB0b2YhKhw2PnhgHX/y2KklbQGcAsIJ\nnbODfoJFWnS39/tZV13GtgYPx/pmJnjNV2MN+uMM+sdp8doZDMy/7/DpodISwzJHezQ094hNbzee\nyyqpYrdgbCbBu65r4+u/vLhkiaLPXZjkS890LIt3WMUMKxQKhWLJ2b+usuDyyXCCv3nqHF9//mLe\ncosGd+5ooG8izOHumbVEl8DBVJBMYr9jjhJVGZ48NczJAR8jgSj37mrmD2/fzHXrqvitA+uI6zqx\nlE5rlQur2YzDqi2Jx2k4mGAiklxSoT+XPrGZ4PP3X4XTaqayrHg2pMMMu5sWFl98ZijI4GRhYRpP\nSfomw+xormC2QzPfyniXfNEZ1UVyWanKIuV2I7zmV5VYSvK9l7oXreozxyPzPT14dmlmW6ajxLBC\noVAolpyvvO9abt9ag9c2szLBK5d8M+qarq120T0eYjIcR+Rku2dfr3LgsIiSRWupyPTFOprQsWjQ\n4p09WUgHPHYLkWSKf37+Ih67hWvaKukcDdA1EiSW0OkZDxGJJ3FYzDRXOCjSz2BF2dviYWtOlY25\nNEosBZ//yWn+6NFXGZ4l2DuSNLqiLZRiNzkSOD3g49GXe4p6T2HpG4GshEe2tsxMS6WbyDzd7WVW\njTu31xZN0JtLyJdyY7aU+jwQl4ueUcgcj1T6wc1bahf5iYVZBV9RhUKhUPwq8pX3Xcurn75zzguN\nxwZffMcebtxUw3v2t2HRBPacLlWVDhMfesN67t+7hpqypc1sN2mGiKhyatjMpYVZnBsOMhlMcm44\nwJ8/eZrJUJwfHR+gayzMeDCC3QwD/hjdExG6JyNL1gFuITjMghs3VvNfb9rIeGh+6VBHLvmJpeaW\nh/oydbLwx/SicbqvZbY1eOkaC867PXmFy8pdOxp53/WtuCwi+72yYITSXDWHh76U2ZUPvWHtPK1a\nOTZUO5ctgW5OMSyEaBFCHBRCnBFCtAshPppeXimEeFoI0ZH+f2Xq6CgUCoVi1fDwoS7e+7UXefhQ\nV3bZloayWd8TjMEX//M80WQKu9XEn923kzt3NLCu2okGTEZSfOpHp6j32LAs8dRyQgevQ2MsrJdU\nfizjXTNp4LVb6ZsI86VnOogmdKrLbCSl4GR/aZ3xFoJZuzxlXAo7m7yYNfj0j04tKqFrNjwuK40e\nGxbm52ET5LfmXSgu68L8erUuCzYxP5tNQKvXjttmWnBIxSs9k5enJKbhskJbpZ39ayuoKbNmm1qU\nO0ysrSrjzJCfIV+UUEJmxXSZ04xJg1MDgQVadJnvv9wz5zq2BRwyweK8zhrwWwfWLeITZqcUr3kS\neEhK+YoQwg0cFUI8Dfwm8DMp5WeFEB8HPg78j2WzVKFQKBSrmocPdfF/njiDBH7ZaSTAPdU+QOdI\nELuAYmVRdeCpMyP0TUZ43foqHnxdGxVlVp7vHAXAahYkk5JvH+4lpRf3p3nsZvzRy/4vE0ZFhGhC\np9xhJpqQ+AqUJijm2JxesYCc5wkdjvdN5b12cXz5y2Vl4l1LTSh8qWdq7pUWgQCkrhNOSa5u9eKw\nWXj2/FhJ75UwZ+veYjitGuF0BmZoeiZmCVQ6BE8/dDNPnBzgmy9c5PRQaaEe1R4rLoeZnlnbus1O\nMK4X9QqH4hCbjLJnTQX9k2FwWCCSoMJpI6nraEJwYdRI5stUnAhGkpi0y1UXMnzohjaeOTvMhbFI\nybZNTCvLIYDdzR6O9/mzIQuFqnvMhRl4+zXNPNk+yER45gd47RCJMyOpVgBum4k3XdXAO/e3zn/D\nJTLnDZGUclBK+Ur6cQA4AzQBbwa+nl7t68BblstIhUKhUKx+Dp4bQWIIFQn89VNneLHbRzRlCGEN\nY0p3OpkL0dmhAP/2yiW6RoJMBuOM+WLoQCwpSQFeh5nN9R6avfaCFy9/NIkG3L29jps2VfGGzdXc\nuLmWGzfVMBxMFhTCANe25Sf7mTGEhK2Au6jOvbSt9Qzv6Pzft1T1X8W0/zXzbB0ogZFQkqloisM9\nPg6VKISnM/14OkywqdZFhaOwTAmXIIDLrHDD+sKT1hMRybu/8jzReIrEPMTdeCA+ZwvkuZjr3UkJ\nj58Y5K4dDVzVVIHHbiUYS9A1GuSXHSN0DRvCPSNOExKiqfzP3dviocHrIFJgnMyCog1KpuN2mLhh\nQw32aZmKGtDktVLl1DAxd7yyBB450sdkOFVwXV8UPn7XVjZUO7PLBMZvSZXbRkO5E194eWY2YJ6l\n1YQQbcAe4DBQJ6UcBEMwCyGWJ6pZoVAoFK8Jbt5cy6HO8aynbnp1KZ3LF2ybSWA1SQLxy8tq3FYQ\n8PTpIX7wSt8MT/LpoSDmkSAWUVxQrK12sq+tkq8c6sJmMaEndfrm8OJdGA1SX2ZmKGj4fZPACxfG\nuX1HA48dH8yud8+OOrwOK99+eWF1kAth0gRWk5k1Xo3eZS4LVwg57b/dYsKmJWbEOa+rdNA1ke9h\nLFQLd6EhvjqGB9BmEdy6pZ6dTV4ePzHARCjG3PKxMK9fX8MLXeNFX28fCnL+yTPcsKGKjtHZPcMC\nsKVLoUVjSbx2gW+WDnCLrROc0OGbL/SgI0mkoLrMykgwzngoXlJSWnufn+OXCne5S0oYCxtjaoFZ\nPy8aTxGIJal2WfPi6StcZva0VnHvrgb+s32IR4/NrBVtBhw2E1KmjBCk9IBoFB6bbx/upjPHi13r\ntuK0mXng6hbcTjMT4The5/L0eS85VEYIUQb8G/D7UsqSA6KEEB8WQhwRQhwZHR2dt4GHL4zz5YOd\nHL5Q/IRWKBQKxeqjmBjQMERga42bKqeZ2jILbpuGpgksmkAIQbSI/knql5tD5Lby1dIP/dEkJwem\nEAI217oJJZJzipLeiSijwfyAiPMjAVw2U9Zj5DCB1ayxobaMNRWObCznQnBZjKRBm8mImY0lkySK\nxJCWin0J0uE9NhPNlU5q3DOTFLsmIljTYywwvIvralzZZcUQwA0bKvn/3rJ9zu0HYin84STPnhvl\n7352nqM9k4wtsGvD9gY3ZpOJwCzZiw6Lhi4hGEsWnLEAspVAJBDVDbE/HIzjtFopm17yBKh2mbLr\nL5ZIShJLe3xHgnF0Cc4SA3ajsrQbk7mEtdUkqHbbZqjFUCyFrku2N3g53F1Yn9ltxvdyeiy+DpQ7\nZp44ndPCOeLJBF67mX5fBJMQVDoLDPgSUdLXRwhhwRDC35JS/nt68bAQoiH9egNQsPiblPIrUsp9\nUsp9NTU18zLu8IVxHnrkGP/6YjcPPXJMCWKFQqFYxXz35d6S1tOAMpuZ8WCcao+dv3vXXm7YUI0/\nEiOR1BnylRZ7m9vGNxMvua2hjH2tlVg0jaO9E5g0MeeFzm7RKJ82bWyS8M3DfdkY4UgKHjs+yJ//\n+Ax3bK/jqpaKWT+33GFiS50Lj11kBVKGcAJCMWiucCKEJBCTDPrzFUNVidPYAHYTuOxmttS55pVc\nN5111U4uTYToK+Kh1jG6gNk0EAIGJkIIDTbWOCmgbQBDDIeiSf7luYvUlhCCEdfBH0kwGkyQ0hde\n97ep3EFrpaPga5kwm0hCR0owm7Si2V0ZLW3OuREAmArHqXQ5eNvuRmrLrLhtJurdFtZUzp4sahbG\njdVCCSxTeQ2LqbAgfP/163jvdW3cvq0+b3mZzczVa8r5RccIlyYLny81LiflTgvTb61qyyzct6sF\n1xwd5SYjklP9fn7wSh9lVvOyeYWhhDAJIYQA/gk4I6X865yXfgS8D/hs+v8Pl9q4o72TpCQ0lTvp\nnwpztHeS/eurlnozCoVCoVgCNG3mxW16Elqj24rVYqKh3E5VmY237m7ma89d4OkzxsxhKJ5g+Pzc\njo+tdS5MJo1IPMVEKEYwmsJu1RjwxfnyM52MBWOgGc08bizQ0S5DpdOELmEyJ6nHazchpSRSwKuY\nlPDtl3q5Z2cDL16c2Rwkw1QkxVQkhEWDCCmcZoglDW+dRRPoSMwmQTxe2IfoC5ceGhBNQTScZDyc\nZFOtk6QONpPGxfEQsaTMeilNzO4tnAwn2VjnYdg/WrC2b1JCMt1OzGmCFIJEStI1GuaatRWEYglO\nDuR3atOhYAe5QmS64iV0I8Gs2HR6ISocJiYjKawmiKdgJBCltco5Yz2XReMv7t/FS13j/Mvz3bjt\nZob9MbRZkiidNhM6KYKxy/ZYzIIBX4THT0aIp6DRY0i+Uf/sITm6hDfuaOBMv4/xUIyULD2J0G6G\naBFHudUEZVbBRKTwiO1oLOPUQOEueo1uKzrgsJkRUjIWiuK0Wqn32Lh2XRVep4U/edMO4kmdH746\nYMzsmATffqkXu1mb0c3QlH5+ccK4qRVAvdvCVDiB22nh3p1NdI4FKHdYCCUKR79nzlW71fgunuj3\ncd+epjnHaKGUcut5PfBe4BYhxPH0390YIvg2IUQHcFv6+ZKyd00FJgH9U2FMwniuUCgUitXJLZvr\nZiybfu0eCMTpnYzw8sVJLEKjxm3j7FBxseS0aJQXSDA7Mxzi1ECAEX+Uq1oqqPXYiSd0esaC9Ptj\nxHSodTvQNBPraz28Y1/hC+n6Gg9t1S5MGrRVOalxW0gkUjOaguSSSukM+0uL703qRrWKRE6CU1yX\nJHUYnAoRKJKMZSkhDKOQX+38SJh4Qqd3Ikg0RwhXOMzct7th1s/b0eTBrBnl23JxmY3QjlzCKaPL\nmI4hWl68OMnULAlO5nQ95yaPrWiJrcxIZNbb2eSeM7kw4wk3p2/E4mldWeG08NXnuvPWFUC5w8I/\nHOzk/FCA5gonm+s9pHTJ5kY3NpPIG9ONNS4qXBbMJpheSC2ZMo5hZnsD/hgD/tisdaoF8OB1LXzo\nwDru2NlArdeBnKU6SgZ7OpymmBA29h+mighhgO6x4rMt25q8fPSNm9izppxNdV4avC4SqSQ942Ge\nbh/kUMcol8bDfOyOrdy7q5Eaj50alxV/umuIVsCxPt2SGo+TP75zKxqC/3i1n2M9k1y1pqKgR7bC\nYSZTLS8cS2ESgtetW15H6JxfNynlcxSfqbh1ac3JZ//6Kr7wwB6O9k6yd02F8gorFArFKuZd167h\n67+8QG6YZ8ZTl4suDeHzcs8E7z+wli31Hi5NFs4piSX0oqXPAAJxnaPdE7RUOZkKm4inUlmv0mgg\nitUsiCWSPHlyqGBS02gwRr3HhkmDEX+YZBKKOGuz2K0masqs2MwCDUlkmkjJ9cBKDMH25j2NjAfj\ndI+FuJhORCump8ss2pwiyWU2xrHQrHmhhMHWSgdVZXZ+47oWDp0fI5pMcf/eFkYCUX5wbAC33Uzf\nVIRbt9QxEojRPxlhKpzAYQWLyVSwHNZ04rP0OU7qhvftgwfW0T0e5BsvFk9CTOgQSyXZ0VSLy2bh\n+a6JoutmeoI0lTv4zesb+OHxfurcdgYKjIEE+v0x+tMD77YJ+ibDaMKIjbWaNdx2DU1I3HYrU+E4\no9OzQDPbTck5Pe257Kh38+Eb12e9mwOTEU4P+Kl32zjaM0GwyEm3scbFB29Yy1cPdeGPFha0Ds0I\nvcklMyNj0aDR62DIX7i8mgAGfFECsSTjgTixhM5kKMZ4yNizb7x4iSM9U2yqK+Oh27bw5qua6BgJ\nMOSLkUjpWEwmdjZ6GAtEGfLHjZujabsigalQlO8f6SUYTeKymoknJZPhBDvSZdtyqffYODtsfKl0\n4C17Grl128wb7aVkKdqmLyv711cpEaxQKBSvAVqqnNx/zRq++WJvVgTKWdRC31SUIxcn+KsH9vC3\nPzvHkycHjQtyzsW00mUiHE/NWts0FNf51L07+Ounz3CyP4DJAh6bhZZKO8P+BI+fGCSSSOF1mJjK\nUY8mAbtbyjmwoRp0yeGeqaLT8lvrXPRMhGitcnHz5np2rynn4LlR/NEEVU4Lb9xWS3u/n6tby+kY\nDvDCxcv1fZPS6Dr2X/a28MF/eYnuiQgOiyCcKLy1YAmlu0JJsGrQ6LUx4ovN2V3seH+AjpEQFrPg\nCw/syYqLR45con0gQGuVi57xEFazRoXTQsegn6SEQAxKlXz15Q7Gg4mCtrRU2Hj/69fxgXTjhPND\nfl7s9hX9rLFQim+9VFgw17osvH5DFc91jDKWFunH+wOsrSljIhSlfypCbJbSa5mbIpNmosplY32t\ni+c6xhBCJ6ULPnbnFnY1l/M73zwKoUTBm6jmCgfra8t46szlm7jp4thpBqfNwvuvXzujc9qaSiea\nJugcDhUVwgA1bhu9kxG2NnjoGQvPGFsNY9wvTqv0kUzvZ22ZjYlQtOj3x6zBziYPh7smmIzEQcJE\nWllnBHUgmiSpQ/ugj4lQnA21bsJxnQ01ZUgBuq7PGgrjsWsM+mLo0rgJqXAKrGbBVChGNKnPCLO4\nMBpCE0YzFX9M58xgAF84cWVjhhUKhUKhKJW7dzTyH68OEEvos9ZjdZg14imdl7on+MCBdfzJm3bw\nJ2/aAcCHv/4ShzrGcNlMJVUTsJvge0d6ec/+tfiicUIxo8nGnz95itwQzkhCxyag3GnBbrdw+9Y6\nJsMxDnWM0DkWmjU+dSwUJ5mEjqEQqeQgJg3G06JhPJxgTaWLz92/m0vjYd79tednvD+zn3fvbOCV\n3qmsEG7yWBnyx+ddkswIZxBc01bFzmYv/3TowowkvOnYrCaSKZ0XusazYnh7gweTBj3jIUwanOyb\n4uWucUpwBOfRVG4zuoyZjBsgoUG5w0yly8Yd2+t56I4teet/97dv4LuHe3j2/CjtfVMltcEGQ3De\ntLWOYDRBIK3wMmLqZ2eGCMQkZm321sOZ4xyNJ5kQgvhAknBCx6xBNGGEB7xzfyu3b6/jq891550X\nZox9M5k1hgMxfuO6Fk4PBNizppwtDR4ePdLLyX4/lS4bzZV2PnrL5hkOPV84wfG+KcKxOJemiscY\n20wwMBXBbBK0VDjZ1uzhxDTRuavJzUCRzxDAkD9GS6UTRyzByDQvt80EN26q4aftQ8STOomUZE9L\nOV6HmfFQMjuGbrsZswYeu4VzQwGmwnGkLklKnZ2N5bT3+9DSnxdJweY6F5vr3Yz4Y2gadI4ECUZ1\nTMKoiSyEoN5j59xwqGDRvG0Nbk72B7KhSgNTEf71xW7ee13bsgliJYYVCoVCsaRICaki0rLRY2PI\nHyOe0tEE3LTJqDJ0ut9H+6Cf7Q0ePnHPdg50jvLY0T7GQz7K7GYCswRMhlPw78cG+OGxAd5zXQt/\n9pZdfPlgJ4mk4dPLePbWVTv52O1b2ddWyaNHL/H0mSGOX5oilZBzlpgaDV5e4/xYmKHnLwJGebdY\nUnLw7AgfuWUj3RMhqly2vAx7jcv7+YED65gMx/nW4R6sZhMmk0ZzhYNALF5SKEKGpA5JXbKproxr\n11YyGYzxpZ9fboHtsgi21rs5NeAnno5XngolcNm0vPjLbU1ePnj9Og51jjE4FeKJU8OzbteSrrU7\nnWA0ictmZmuDhwavk6vXlHPnjgZapiWxHb4wng19fOf+Vt65vxVfOMG1n3mqpM5mNovAbTUxGoix\nsbaMU4PBnDrVdgKxSEH7bMCG+jLaql08f2GMyUiKuA6xcAKn2Uh+03VjnIb9US6NhxkNxmgpt3Np\nKorHZqLabeOqZi/H+nyUO6xMhuPsbK7gz96yC4BL42HODQUIJyVXNZUz5I/SOxlmS9iTJ+ImwnFS\nUjIyx82L3WJGR5BISu7Z1cjaaqNayMlL/qxQ7Z6IYBb53zUNo6SZw2YmHEsSSSSZiuSf4U3ldnQp\nmQgl0CXUeRz0T4VJ6EYFiclgjDNDfva2VnLtuiraKl0APPzLLoZ8MRxWjQ01Zdy5o55ql5VDHWPZ\nkB2v3Uw0rvOhA+tp8Nr5b985ylgwgRAClxlu2VpL91iYjtH8sA+LBg0eG/fubmZ7U5CftA9R6bJS\n7rQyFogta51hJYYVCoVCsWT87OyIIVyLZJqsq3Wxb20Fk6EE9+w0Wqye7vfxicdOMOKLEYoneMc1\na1hbU0ZzpYPjl3yEYzOFcLGGD9948RJtVWXsXVOBwyqIpJPInBaNj92+NesRvaatkp+2D2HRNKQp\nlTe/bQLslplNQ3IJpb1WmfJuN28x+k61VbpoqzaEw8VxPw0eF7/5+rV5rWSvXVfFxfEwsUSKp8/k\nVyWtLTO8qVe1lPPEiX7iKSOcw2O3MjytYKsAukZDeJwWmiqd/Leb1/PT9iHMmsZNm2tprnRwRzTJ\n4ycHcdtN9E9GeMueprz4y9P9Pv7pl12kdGgfmDnVrWGUUdOkUZO2WPx2UpcEokmqymz8z7u3zhDB\ncLlcakrCv/zyAtetraaizMqelgq2Nbg51hcoOt52AWtqXOxqqaB3MsywP4pJ02j22pgIJyizm7Bb\nTJTZNMIxnRTgMAuiSUm918aWeg8fuGEtXruFV/ummEwrNwFUllkZCcTIRK34InG6J0IkddhY78YX\nTbClwUM4lqLcYWEqFGMiGEMTZGvfXhoP87FHXuH0oJ9YQjIwGaa6zMbgVIS/euoMQsKNm+u4dVsd\nlU4rJiFoq3ZyYZbEtkg8iddhIZpI8IWfnqFrPIKmGd0YNcBu1YjGkjNqcl/bWs7LvVMEo0nMmhGS\nMRXKP3f8kQReh5mbt9TSORpgPBTDZhbcvLmGN19lxDV3T4Roq3Rlj+XFsRA7m8txWYNEkzrxlM6x\nnklaKp3cd1UDvZMRLELSORYmnvRzqGOEB69r4+YtdURPDpLUYUNtGXfvaOSn7QP8vOOyPSag1uNg\n/7pKAtEk9+xq5NSAj96JMLGEzo2bapa1zrASwwqFQqFYMnrHgyQlWaVqF+R1knuuc4K9rV4eft/+\nrJenfdDPiC/GoBGgyj89183/umcrf3DbFnY3V/BS9wTXtlXys7NDHOuZJDxH5MRXf3GBMruF162r\nwWY2EU/pvHVPc54IrHBasZggkdKzCX5GMxD47RvXs6bKRSCS4OvPd9MzOTP56A2bqtjXVsXBsyPc\nvKU2GxPaUuXkodu2zBASubRVujBr0D6SL/404MbN9Xz+gasAeNueFp4+M4wvEqdrNEQkmcCfM5gV\nTgt1HjsNHgftgz5ODwVorHAyEYyxptJJQupsb/LSPugjqUN1mY0djeU8cuQS2xs8bGvy0j7oTwtc\nOePmotpl4Q2bqjnVH6DcaeHckI9AVC8SQ+ukqszCR2/ZVHCf4XK51HKHlTNDAf7j5BAmAU+cGOSt\nu5uJJXVOD83sBNda6cBq1tje5GVPSzkvdI1z184GxoJRBLaiPoMAACAASURBVPDYK/0kdWM6vtHr\nJGZLMhKIk0wZ+zQVjjPqj9JW6WIyEqfea2dwKoYuwWGG9+xv5e+f6cjWV37m3BjbGr2YNSMpUBPG\nZzgsJtbXutnZXE5C1wlGkkxFDJH57PlhTvb7SaQkUoJF07BbTDx2vJ++iTBWs8aPTgxk47Xv2dnI\n69ZXs63hEi9cGGdbo5uJYILHTw1l97vSZUXXJcf7Atnxbi534LImSaQETouJqbQbPBOvvKnWxeff\nvoc//Y9TnB3047CZOd0/la2XLDCE3+Y6N390xxb2r69iS72HzzzRzpA/xrPnR9A0wekBP5omMGvw\n0G1baKly0jUSpL3fT63bShmSV3omefWSD4nklk217F1byaFzo8STfgLpwP+vPdfNHdvr+OAN6+iZ\nDLG7uYLvvNxDUod1VQ66xo3vlgQCkRjPd41xy5Z6esdDnB30k9SNWYdql1XFDCsUCoXitUFk2hz1\n/g3VdAwHGMgpndA/Ecm7sG1v8BCKp8s0pZVWJsZ27QEj6eriWAiLRePeXU186WAnyVSKcqeVHY1e\njnRP0D15OW5yMBCHQJyO0RAfuqGNT947s/tZUkpu3FSHx2Hl7KCfNZUOHFYLN22qyfPiTobj/N3B\nC3nvbfHa+OcPXAcwIzEKDEFcTBBmXn/oti18+6Vuvvbzi9kQDZOGkcyH4bHtnQxz29Y6ftI+SCyp\nc3VrFd2jIaKJFNubPHz4wAYujAUZ9Ee4MBJgeCrCpno348EYZ4f8dI8H+bY/yjVtldy2vYF4Qudv\nnzlPSje29Rdv3ZWNGb4wki9CNeCGjdXcs7OJ80PnmAzH0YSGSdPxOq2MB+OUOwS1Hie3b6vPTqUX\n2+/PPN7OEycG8UcTjOacCxazRiIlcdhMfOnBa4jEkvyPfztOx1CQOq8dm8WE1WxCImn2OgjFDW+n\nrkuqXDbCMSMgJ1Pb1uuysL2xGn84Ts94iBMDAaIJyZnBAL/sHOWunY3ctaPRqLAQiPHgta3cuLmW\nLz9rHOOMqHzhwhh/846r6Z4IEU/onOyfYsQf5cJIgHA0yaUpoyvaT04NcW1bFQOTUXT9ckhOMqVz\n/JIvK2I9FjOJVCobr+11WvA6LXmx1L5wgmgqxZHuCapcNiqcVnrGQwgMEWuEcESwWwRvuqqBSpcd\nXyTG9470Zyc23ry7iaSU7Gz2Uu918MuOUWI6eOwCf9SIp3bZTPzOTRvYv76KwxfG+Zunz2ZF6Su9\nPnwRIwZ+e6OX7vEQ3RMhBqYifOpHJ0noEqTk7p2NmDQtm3hZ7bFxw4YaGj0Onj2fP9vRPuDDatbY\n1VyOw2KiazTERChBNBHPjpcO+GM6gViMJ08OcGnCC0JQ67YyGojx6NE+djWXs63JW/R7tRiUGFYo\nFArFknHXjnqe6xxDSmN6/a4d9dR7bXzvSH92nRs353cj3dbk5X2vX8uXDl4AaQi1TIxthkqnFV84\nwYlLU7hsJt6wsYFBf5Q3X93MX71jDw8f6uLguRGOdI/nlTp7/NUB3n1dGyM+I34z4xGtdFoZCUR5\n/oJhazSh88V37JmR7LSmyjUj292bM117ut/Hj17tJ5JIcfeOxqLVj3zhBBPhOJVOw8PlcVhoqXTx\n9v3NvNQ1QYXLxoP7W7lvT1M2bCQjWj94/Tp6JyOYhWD3mvKspw5gS4OHwxfHOTsQYCgQ5dJkmB1N\nXibDMZ5NNxo5MxQiEE0SSej4o0m2NXjpGQ/xzRe7Sehw+7Z6LtYEefTYQNZeHRjxx3BYTVy1ppyp\ncIJGr50XuyYIhONIICU1gtEkSNjVVJ69wcmN/97W5OUzj7fPqPkLhgiKJHSSKZ1IPMnaahdfeqYj\n27ijZzLKb1zXws7mCrY3eGiqcDIRjnPD+mr+8+wIdrNG32QYh0VDIih3WPDaLQSiCa5aU0EkkUQb\nCGDWBEld8uz5Ud65v5X797Zwy9a67LG4OBZiW6Ob3slIVlRG0zd1BzbWcLrfx//6waVsbWmbRVDu\nsNJa5UITgpe6xzkz5MNs1kgmdSrLrDR6HYyFfNg1iOgwHopj0YwW0MXwOi186t4dfOflXnTdaMqS\nSKUYDyWy59+WejehuLEsqUseum0LaypdeTMUvnACt83Ccx2jdGfK+EUlDhPsbKlg/9pKJsJxHj7U\nxf/7xQWGA/khFCNTETbXeTg/HECXOlVOK8+eHyUloaXCRf9UGF2XeYmX17RWsrbaRSSWxGs3M5pO\nfNWAmzfXUllm5dq1lRw6P8qJ/vxwHIdFEEnHqJjS3vgyqxlNwGggRlIacdyfeOwEf/HWXcsiiJUY\nVigUCsWSkfGqPnt+NOtlzSw7dH6MA5uq+dz9u2e876E7ttBU7sh7Xy7+SILTAz580QT+SJILY0E8\ndnM2secDB9bhtJo41JnfaS4YT/K1X3Ty8/OjuO1WrGaRvaA6LSasJo2mchfDgUi2y+ml8XA2zGF7\ng4dKlzmvqkUmPvh0v4/f+84r9EyEERJ+eLyfd13Typuuasy7YPvCCf7+Zx3Zz/y9Wzdmk6hu3lzP\nlgYvN2yoYW061jgTutBa5eLIxXH+7pkO7txR2PvqdVrwRRJYLSb2tlbSNRrkwMYavvlid944/PD4\nIBVlZqaCScLxJFKXPDLkRxMCTYPPve0qfnlhLK8ixYXRIM91juGLJKl0WdlU58brtNLeP8VoMEGj\n10E4kaTPF8kmN00X8n/x1l08e84oP6aJy22zc0np8C/Pd7O+poyDZw2vYiYx8fRAIJugltnfi2Mh\nKlwWEgmdX3aOYTGZEEg+cvMmTg1McbRnktZKJ1VlNnSMJicAXoc5+xm5MxOVTitv2FTLWCDGmcEA\nO5vLqXbb6J4I0VLl5JGjlxjM8WZHEpKqMkEwlsRlNwOCMruVu3c2cnbIzwN7m7FoGif7fdma1Rpg\nMWn864vd7G6pKFo3t6XKyX99w/rsjdM79q3h2y910zkSotJpxW7TeKVnig01ZQz6o7QP+rh7VyMP\n5lRa8Dot3L+3hZN9k5wZCGCzaEyEk7jsFqxmw4aqMhsj/ii6brSHzq1X/cbt9XzowHoefr4LXTfx\nzLkRttZ78pqgeRwWasrs1LptPHhda/Z8bx/0U+d10lQBXaNBNtd72FjvxiQErZUuvtzfCeTH/Edz\nSgymdKM99ntf18bt2+v5xgvdDPuj7GqpoGc8RPugX4lhhUKhUBRGCHEn8H8xZnq/JqX87LTX/xD4\nLYyqU6PAB6SUPcthS64AzlBIAJfyvgzdEyE0TeOatiqcVjP7Wit5067GPGH47PnRvIusBjSUOxgN\nxElJqPPaGAvEsxfU6zfU8O/H+hgORLJdTi+Nh/nC02dJ6mTjJb/xgev4wlNn6R4PcffORqKJFLd9\n4VkavHaC0QRmIZBIpiIp/uEXXXzrpYt890PXZy/aB88O8/1XerNexO1NHm7eUodJCAb9xnR7bnJQ\nJnThyMVxhoNxhoNxLhy8QIXTyoGN+R7z3PVHAzHKnRbesLGGx17pAy4LOCGgwePEH/ajS4jGU6Sk\n0UAknkhxqHOM+/e25IWE3LiphnKnhUDUqJxQ47bzR7dv4cyQn7956hxT0Tga0Ox1ZO3PFfIZ8fK6\n9ZV0jIYKCmEwRKo/muTZ86PcvKWWI71TMxITc8kkoL0yMIUuYWejlwFfhGfPjfCT04aYPjN0gR31\nbgDMwqj1HC1S19nrtHDPzkbaqlx888WebKysVdM41DFK/2R+6TIN2FhbRluViwf2tuC2WzjUMUI4\nnmJdtYubNtUxMBXh5s21TEUSWE2CE/0+at12RgLRvNJ2mRmDSCzJeDievdnJCNv+yTDraty8aVcT\nTRVO2gd8jPrjDPqj6LpO50iQ0WAMkxDcs7MxTxC/6apm/vPMEJPp1t7heIp4MoUuwWUzYzYLwtHL\nMcflLjNv3FrH5+7fzfOdY5wfDmIzmegcDXL1mopsE7RIPMnXnusimZIgjKS4zLmeORfDcZ3qMhvv\nva6NnS3lWS/8TZtq+En7cF7M+Z4WL9UuG+FkgqQOH7phfXaGZUNtGZ947ETWA729wVP4JFokSgwr\nFArFaxwhhAn4EnAb0Ae8LIT4kZTydM5qx4B9UsqwEOJ3gL8E3rHUtkyfIl8qMkln3eMhvA7zDCEM\nRmjFz84MZ0trra9x4rCYqHFbMQkY9sWwmkXeBfWGDTUIIXjL7ib2r6/iUMcoSR3aqlzZeMkDG2v4\np/fvB8ib8u8YDeG2CZJS5lVZ8Ecln/rhCR753QMAdI2FkBKjq1kkRtdYiLekBVhu6ESGbU1e/uKt\nu/jod48xHIzjsmqE4zoHz41km1bkklk/d9w/cvNG/vv3jmfX8TgshlfPJNjTXEF7v49wIko4ZsTg\nHthQne2Olply/60D63ni5AAtlQ5q3FbeuruJ88MBXro4wQP7WjCZBIFIgnhS5+ygn/3rq2bULd7e\n4GFfWyUdIwEujoVZW+2kucLJ8V4fdR4rhy9O4o8ms2X2MjdD0xMTp4eZ3LOzkeoyGycu+Wgf8OGy\nmeiZMOKeM17lYDyJ3WyUgrMIsJu1os0bvE4Lr99QTUuFk+6JEFZNyyZ6+SJR7BrZqg2b6sv40IH1\nbG/0Zj8rN2ny/HCA//nYCUBgMcG7rm3l1ICPkUAUTZAtbZeZMTg95GPIF2VDrRuHVcuGwRTysufa\naBKCC2NBGjwOBv2RvNJjl8bDWC0ad25v5OD5URq9DnomQkyGjbEOxZKYACElKQEep4kvv3tfVoT6\nIwmkBKfNRDSUwh9JcOfOBvavr+KPHnmVZEpmv2dfeOoMt22rp6XKybYmL//9lk38/TMdlNntPHNu\nmD1rKrJ2vXN/KwfPjvDM2REqXBakgDduq+c9+1tn/S4sx29KLqteDLd9/Im8592fvecKWaJQKBSr\nlmuBTillF4AQ4rvAm4GsGJZSHsxZ/0XgwaU2otDFe6kuXqVUacgN0djZ5GVXSzlVTisOm5n7rmrO\nixnOLfNlEvCW3YYQzBXdZo1sGEaG6VP+XruN9+xv4Ku/uJjXOOPMYDD7+Pr11Tx6pJdIIkGZ1cT1\n640kuenT9blsa/LyrmvX8H+eOEM4blRwuHnzTC9p7vqZsfaFE+xsKeezb93B0d4pDmyops5j52dn\nh43yaQKqPVZ2NnsYCcR4+76WrBB+6I4teUlduYL9SPcEDz1yDF0a+/+hA+v57su9pCT8+7E+vvCA\nEXM9Xbz4wgmu31DL5roY1W5bXvOETOONXCH8kVs25iUmPnyoi0df6WNTbRnXrqvKekCbyx1omuGV\nlxjl8s4MhbJe5Qf2tWAzm/jxqQH2rqlkTbVzzlq1meTH3JsigN+5pYb+qSjN5Q7euqd5xvmXeZ8v\nnOB7L/cSSRgJnrGEjhBG178XusZ53bqqrFc4M2OQTEliSZ11NWUkdfjnX15gwBfDH4nTNxlhXXUZ\nkUQqO6ORu63u8VDe7MLhC+PZ41zhshKMxql125BAY7mDB/e34rFb6JuK0DkS4FDHKE3lLvp9IR59\npY/GcgctVU62N3ppqXASSaRoqTCeZziwoZpHjvZln4cS8Jkn2vnH37gGAKtFo6nSmXdDmTteH7hh\nHe2Dvux3b29aLBc6Lr5wAofNzO3b6n99q0lMF8KZZUoQKxQKRR5NQG7v2j5g/yzrfxB4cqmNKDRF\nvpSenLmqNMDMUIuMR3FLgycvuS1T5qup3En/VDgbLzyX6L5pc03elP9dO+v5+N3b+PGJQXpzOoFV\nui6HPexfX8XfvOPqbLOJYkl208l4gQ+eG+HmzbUFvcLT8YUTPHFygJSUmITgf92zLSsicuOhMzcJ\n0z1x08kVKS90jaNLstP9B8+OFBzDXGEOl+O9wwmdkUDUqHGb4yksFhoDhlj+8x+fISXh3JBRiu51\n66vxOi20D/qxmU1sqvPQMx5iZ3MFf3S7Y0YymdNmyo5HqbVqp98UvW1Py5znHhgNNZorHZh7tGw5\ntswxnx4nnJkx8NqtDAejdI+FcFo1njwZIJUTRzAZmmRNlXNGiIB32uzC2UE/Dz1yjFA8ZSR0bm+k\nzG7l1q112C3mbBLiEycHcDvMVLqsmDWNfl+IYDRJ36QRIpTxTH/irq0Fvwf37Wnizx4/lRdHf3bo\ncpnAuW4o96+vyoZcZMYm8z3tGgnyat8U66pd7G2t5FDnaPbY5YaBLDWrWgwrFAqFoiQKtbgoGCAp\nhHgQ2AfcWOT1DwMfBlizZs28jCg0RX6l+NIzHTx9eohat50Dm2tmXEz3rqng24e7swlBe9dUZN87\nm+jOlGl79twoN22uyT7/2B1b8sISPjat/fD+9VUli+BcPpAuLVcqmcS8QlPnUNoNRTFet66KR4/2\nZqf7b95Sy3de6ik4hrlk4r13NLoLegpn49nzo0Y9YItGJKFzfiSYFbSFzrcH9rXkeZWnC8bMWEwP\nu5jO9Jsij8NI3Dt8YSzrbc9403OpdFrZUOvmLXsa6ZuI8I5r1hQ97pkZg4Seospp5u37WniucwwI\nZCuYmACzGXa3XC4rlpvgmRtfnHuD1zES4PSgjy0Nbm7aVJfXOCNzfgD88Z1beP7COH2TYfa2VuYd\nn9nOlbfuac6rEHJbjtAvZRYn9/uQuYHrHAnw6NFLSGkkdd6xtYENdWWsqykreC4vJUoMKxQKxWuf\nPqAl53kzMDB9JSHEG4FPAjdKKWPTXweQUn4F+ArAvn37iqQ8FWal4vvm4kvPdPD5p86nn/lx2cxc\n3VaRdzEt5J0qlU/eu51P3pu/LCOMDnWOFRVKK8GIL8rxnikGPVGaKx0L7tpVSCzeuq1uxnT/vtbK\nOcdwLk/hbGTiwKMJHZOA+69uztpT6vk2fQp+uve8mMcxNxzhiZMDvNI7wQ+PDaAJweMnjFKB049z\nMfFdiEIzBv5ogp93jGXXSQFWIXjTrkaAggmeGbGZucEbD8WocJj5L1c3z2iJXem0Ek/onBqYwm2z\ncMsu4xh+4emz8zo+xW4Kp49dKWRu4KbCCVI6eBxmookUI8EozVXOgkmmS82qFsPdn71HxQwrFArF\n3LwMbBRCrAX6gXcC785dQQixB/h/wJ1SypGZH7E0TJ8ivxJkynNZTRBPwdGeSa5ZWznjYjpfb+3P\nTg/PiPvM5b49TcsugmfzaJ7u9/HnT54mnpS0D0zx6ft2LsiTNptYvHVbXd6+lzKGpXgKi1GoVF8u\nCznf5vKeF1t/cCpqxIk7jVrGhzrHCh7v2WLBp5M7fqf7ffyiYxSLZiT9ZbzDW+rc2THPtImeHo/r\nCyeo9dr59H07OTccmPXmRAJSiuzU0UKPT6GbwoWQqQ5S7rRg0oyOc5oGG2vcvDXdRGSuG4vFsqrF\nMCjxq1AoFHMhpUwKIX4P+CnGzOrDUsp2IcSfAUeklD8CPg+UAY8IIQB6pZT3XTGjl5FMea5Mm+Xb\n0+1vF3Mx/dnp4Wzy2KNHe7NtdVeSuTyamZjtqjIrXaNBXugaW1BoxnzFYiksJjyjWFzxXKEOxciI\nr1I9jpn1G8rtaAICkQRaTrfAuSi1wkrm+G2ud3NqwGjBbNHgHddcDlcq5GWffl68Z39r0fGYCMex\nWTTaqrx5x3Yxx2ex5HrTr19fk40ZvnlL3bIK4FxWvRhWKBQKxdxIKX8M/Hjasv+d8/iNK27UFSIT\nMzq9PNdimJ48llsrdqWYS6Rub/AQS6Z4uTuAAH58cpDbt9XP23M6X7F4JcgIwNFgjKlQnAf2tpS8\nn/MJZcisf2BDDS2VTrbVezkzFCg5FGY+FVYyMdApXdDosdFW4+S+XU15NwKFvLi5ccBz3bys1mOb\n8aavrXat+PcKlBhWKBQKxa8g08tzLZbpyWOZWrEryVxCZluTl3t2NvDIkT7W1bqYDCUWVNFjvmLx\nSjARjjMajPF85zihWJLeyQh/eu/2kr2b8wll8IUT2aoGdqspr0LHXMynwkqpMdDTvbjzEbivhWN7\nJVBiWKFQKBS/9nz3cA8/PjXIxpoyfvP6dTNEVaHksZWmFCFz+7Z6Dp4bYTKUWFRFj/mIxStBpdPK\nVChOKJak2m3FLMS8qlTMh8WEjcy3wspCYqAX4ulezcf2SvCaEMPTk+g8NjjxaRVLrFAoFIrF893D\nPXzysVOkgF90jHO0d5K/e9fegoL4SojgXOYSMqulosdy43VaeGBvC72TEcxC4LBq86pSMR8WE1qw\nUsdDCdzFserFcKHGG/4Y7PrUE0oQKxQKhWLRPHt+FB0jWSmpw6A/tmxexpVgNVT0WAm2NXn503u3\nL6hKxXxYbGjBr8vxeC2jLebNQog7hRDnhBCdQoiPL5VRpeCPFRbKCoVCoVDMh5s21aBhlLOSQIPH\ntmxeRsXS0lLl5MDGmmW/cckkdynv668mC/YMCyFMwJeA2zAKvr8shPiRlPL0UhlXCrmC2GmC059R\n3mKFQqFQlE4mW3+2mGGFQvGry2LCJK4FOqWUXQBCiO8CbwaWVAwXarxRjHBKeYsVCkVpqBrmilyK\n1bJVLA0LrQmsUKwEiwmTaAIu5TzvSy9bctRFS6FQLDXqxlmhWBkyNYGf6xzliZMD+MKJK22SQpHH\nYsSwKLBsRh97IcSHhRBHhBBHRkdHF7wxJYgVCoVCoXjtkVuaLCUlE+H4lTZJochjMWESfUBLzvNm\nYGD6SlLKrwBfAdi3b98MsTwfcgWx8uooFAqFQrH6Wa1dzxSKDIsRwy8DG4UQa4F+4J3Au5fEqhJQ\nwlihUCwGNdukUKwMquuZYrWzYDEspUwKIX4P+ClgAh6WUrYvmWXzQF3UFAqFQqFYvaimEIrVzKKa\nbkgpfwz8eIlsUSgUCoVCoVAoVpRFNd1QKBQKhUKhUCheyygxrFAoFAqFQqH4tUVIuagCD/PbmBCj\nQM8C3loNjC2xOSuBsntlUXavLL9udrdKKWuW2pjVzK/Ib/ZqsWW12AGrx5bVYgcoWwqxWuyAZf7d\nXlExvFCEEEeklPuutB3zRdm9sii7VxZlt6IYq2mMV4stq8UOWD22rBY7QNmymu2A5bdFhUkoFAqF\nQqFQKH5tUWJYoVAoFAqFQvFry2tFDH/lShuwQJTdK4uye2VRdiuKsZrGeLXYslrsgNVjy2qxA5Qt\nhVgtdsAy2/KaiBlWKBQKhUKhUCiWg9eKZ1ihUCgUCoVCoVhyVrUYFkLcKYQ4J4ToFEJ8/ErbAyCE\n6BZCnBRCHBdCHEkvqxRCPC2E6Ej/r0gvF0KIv03bf0IIcXXO57wvvX6HEOJ9y2Dnw0KIESHEqZxl\nS2anEGJvehw60+8Vy2z7nwoh+tPjflwIcXfOa59I23FOCHFHzvKC548QYq0Q4nB6n74nhLAugc0t\nQoiDQogzQoh2IcRH08tX9ZjPYveqHu/059qFEC8JIV5N2/7p2bYnhLCln3emX29b6D4pirPcY7YS\n5+w8bFkV1wMhxOac/T4uhPALIX5/pcZErJLrTRE7Pi+EOJve1mNCiPL08jYhRCRnbP5xru0V26d5\n2LLiv6tF7Phejg3dQojjKzQmq/c6KaVclX+ACbgArAOswKvAtlVgVzdQPW3ZXwIfTz/+OPC59OO7\ngScBAVwHHE4vrwS60v8r0o8rltjONwBXA6eWw07gJeB16fc8Cdy1zLb/KfCxAutuS58bNmBt+pwx\nzXb+AN8H3pl+/I/A7yyBzQ3A1enHbuB82rZVPeaz2L2qxzv9WQIoSz+2AIfTY1lwe8DvAv+YfvxO\n4HsL3Sf1V/SYLPuYrcQ5Ow9bulll14P0fg0BrSs1JqyS600RO24HzOnHn8uxoy13vWmfU3B7xfZp\nHrYs2fGgxN/VQnZMe/0LwP9eoTFZtdfJ1ewZvhbolFJ2SSnjwHeBN19hm4rxZuDr6cdfB96Ss/wb\n0uBFoFwI0QDcATwtpZyQUk4CTwN3LqVBUspfABPLYWf6NY+U8gVpnH3fyPms5bK9GG8GviuljEkp\nLwKdGOdOwfMnfZd4C/Bo+v2547AYmwellK+kHweAM0ATq3zMZ7G7GKtivNP2SillMP3Ukv6Ts2wv\n91g8Ctyatm9e+7QUtv8Ks+xjttzn7BKYeKWvB7cCF6SUszVLWdIxWS3Xm0J2SCmfklIm009fBJpn\n25c5tldsn0qyZRaW7Xd1NjvSn/N24DuzGbeEY7Jqr5OrWQw3AZdynvcx+w/eSiGBp4QQR4UQH04v\nq5NSDoJxsIHa9PJi+3Cl9m2p7GxKP56+fLn5vfRUycM5UzHztb0KmMr5cVxy24Ux/b4Hw1P5mhnz\naXbDa2C8hRCm9BTfCMYP4oVZtpe1Mf26L23favuevpZZ0TFbpnN2PqzG68E7yRc3Kz0mGVbjb98H\nMLyFGdYKIY4JIX4uhDiQY1+x7RXbp/mwmn5XDwDDUsqOnGUrMiar7Tq5msVwoTiP1VD64nop5dXA\nXcBHhBBvmGXdYvuw2vZtvnZeCfv/AVgP7AYGMaZ2mMWWK2K7EKIM+Dfg96WU/tlWLWLHarH7NTHe\nUsqUlHI3hrfnWmDrLNtbVbb/irJiY7aM5+x8WFXXg3Tc6H3AI+lFV2JM5jRzntteEpuEEJ8EksC3\n0osGgTVSyj3AHwLfFkJ4lmp7RVhtv6vvIv/GaUXGZDVeJ1ezGO4DWnKeNwMDV8iWLFLKgfT/EeAx\njAvwcNo9n5lOGEmvXmwfrtS+LZWdfeRPNS27/VLK4bTw0YGvYow7c9hYaPkYxlSLealtF0JYML7g\n35JS/nt68aof80J2vxbGOxcp5RTwLEZcWbHtZW1Mv+7FmD5cbd/T1zIrMmbLfM6WzCq8HtwFvCKl\nHE7bteJjksOq+e1LJ1jdC7wnPX1OOiRhPP34KMas0qY5tldsn0piNf2upt/7NuB7OfYt+5is2uuk\nXGCQ/nL/AWaMoOi1XA4c336FbXIB7pzHz2PEdn2e/ODvv0w/vof84O+X5OXg74sYgd8V6ceVy2Bv\nG/nB+0tmJ/Byet1MkPrdy2x7Q87jP8CIrwLYTn7iZXIwQwAAAeNJREFUQRdG0kHR8wfDa5KbePC7\nS2CvwIhP+uK05at6zGexe1WPd/qzaoDy9GMHcAjjgldwe8BHyE+g+/5C90n9FT0myz5mK3HOlmjH\nqrseYMSUvv9KjAmr5HpTwI47gdNAzbT1agBT+vE6oH+u7RXbp3nYckV+V6fbkTMuP1/JMWEVXyev\n+I/nHCfS3RjZhhfg/2/v7m0aBuIwjD9UIBp2yABUKZkAiYoNoGGHrAF9JIoUdPQsQAHkgwLhFZiA\nJsX9rRgUhw/Z1kn3/CQrihPbr+9O9lk+y0wyyDOKxjgHXutMpPE7D8B7fNaVsgfcRP4lMG6s64I0\nSL6icfDqMOuMdMvjk3S1dNllTmAMrGKZa0gvcOkx+21kWwD3fD2oTCLHG40nR9vaT9TjY+zTHbDf\nQeYT0u2YBfAS02nuZb4jd9blHes9Bp4j44rNE9FbtwccxPcqfh/9d5+cdtZLr2U2RJv9ZY6szgfA\nIfABHDXmDVImZHK+aclRkcaX1m2lviA+j3qbA0/A2U/ba9unP2QZ/Li6LUfMnwJX3/7bd5lke570\nDXSSJEkqVs5jhiVJkqRe2RmWJElSsewMS5IkqVh2hiVJklQsO8OSJEkqlp1hSZIkFcvOsCRJkopl\nZ1iSJEnFWgPdhFpsTx4t1AAAAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7fa0aee40850>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.figure(figsize=(12, 6))\n",
"plt.subplot(2,2,1)\n",
"plt.plot(center_trace, '.', alpha=0.3, label=\"center_trace\")\n",
"plt.legend()\n",
"\n",
"plt.subplot(2,2,2)\n",
"plt.plot(center_trace[10000:], '.', alpha=0.3, label=\"center_trace(10000~)\")\n",
"plt.legend()\n",
"\n",
"plt.subplot(2,2,3)\n",
"plt.plot(std_trace, '.', alpha=0.3, label=\"std_trace\")\n",
"plt.legend()\n",
"\n",
"plt.subplot(2,2,4)\n",
"plt.plot(std_trace[10000:], '.', alpha=0.3, label=\"std_trace(10000~)\")\n",
"plt.legend()\n",
"#plt.savefig(\"trace_plot_net_weight.png\")"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"上記の結果は、MCMCでのシミュレーションサンプルの系列を表している。\n",
"開始すぐに収束しているのがわかる。"
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"esetimate_center : 29.4559763336\n",
"Bayesian credit section [5%~95%] : 29.393524647~29.5618374629\n",
"estimate_std : 0.371963951976\n"
]
},
{
"data": {
"image/png": 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SVGkWvJIkSao0C15JkiRVmgWvJEmSKs2CV5IkSZVmwStJkqRKs+CVJElSpVnwSpIkqdIs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\nFh95bgAAAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7fa0aece7250>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.figure(figsize=(12, 4))\n",
"\n",
"# 平均の予測\n",
"plt.subplot(1,2,1)\n",
"ret = plt.hist(center_trace[10000:], bins=np.arange(28.0, 31.0, 0.1), \n",
" normed=True, label='distribution of mean')\n",
"# ret = plt.hist(center_trace[10000:], \n",
"# normed=True, label='distribution of mean')\n",
"plt.vlines(x=np.percentile(center_trace[10000:], 5), ymin=0, ymax=ret[0].max(), \n",
" colors='#00FF00', linewidth=2)\n",
"plt.vlines(x=np.percentile(center_trace[10000:], 95), ymin=0, ymax=ret[0].max(), \n",
" colors='#00FF00', linewidth=2)\n",
"plt.xlabel('net weight [g]')\n",
"plt.xlim([27.5, 31.5])\n",
"plt.legend()\n",
"print 'esetimate_center : {}'.format(center_trace[10000].mean())\n",
"print 'Bayesian credit section [5%~95%] : {}~{}'.format(\n",
" np.percentile(center_trace[10000:], 5), np.percentile(center_trace[10000:], 95))\n",
"m_b = center_trace[10000].mean()\n",
"\n",
"# 分散の予測\n",
"plt.subplot(1,2,2)\n",
"ret = plt.hist(std_trace[10000:], normed=True, label='distribution of std')\n",
"plt.xlabel('standard deviation of net_weight [g]')\n",
"plt.legend()\n",
"print 'estimate_std : {}'.format(std_trace.mean())\n",
"s_b = std_trace[10000:].mean()\n",
"\n",
"plt.savefig('fig/estimated_dist_{}.png'.format(data.shape[0]))"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# 予測結果を表示"
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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L2AM0a1bSzingStxM7cB5uG+GlhQqp3iSwnJvbCIAROQC4L/+hWRMFRCl6Sg7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\nSUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7fa0aee40550>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"min_range=27.0\n",
"max_range=31.0\n",
"step=0.1\n",
"spec=28.0\n",
"\n",
"b = np.arange(min_range, max_range, step)\n",
"ret = plt.hist(data['net_weight'], \n",
" bins=b, color=\"#0000FF\", alpha=0.5, edgecolor=\"#0000FF\", \n",
" label='measure', normed=True)\n",
"plt.vlines(x=spec, ymin=0, ymax=ret[0].max(), \n",
" colors='#FF0000', linewidths=2, label='spec')\n",
"\n",
"# 最尤推定パラメータの分布\n",
"x = np.linspace(min_range, max_range, 300)\n",
"y = stats.norm.pdf(x, loc=m, scale=s)\n",
"plt.plot(x, y, lw=3, color='#0000FF', label='MLE')\n",
"\n",
"# ベイズ推定での分布\n",
"y = stats.norm.pdf(x, loc=m_b, scale=s_b)\n",
"plt.plot(x, y, lw=3, color='#FF00FF', label='Bayes')\n",
"\n",
"plt.legend()\n",
"plt.xlabel('net weight [g]')\n",
"plt.ylabel('probability density')\n",
"\n",
"plt.savefig('fig/weight_distribution_{}.png'.format(data.shape[0]))"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": []
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 2",
"language": "python",
"name": "python2"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 2
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython2",
"version": "2.7.14"
},
"toc": {
"nav_menu": {},
"number_sections": true,
"sideBar": true,
"skip_h1_title": false,
"toc_cell": false,
"toc_position": {},
"toc_section_display": "block",
"toc_window_display": false
}
},
"nbformat": 4,
"nbformat_minor": 2
}
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