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@sshojiro
Last active May 9, 2019 17:02
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{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# 発生確率をパラメータに持つBernoulli関数による確率モデリング\n",
"\n",
"参考文献: [Pythonで体験するベイズ推論 PyMCによるMCMC入門](https://www.amazon.co.jp/Python%E3%81%A7%E4%BD%93%E9%A8%93%E3%81%99%E3%82%8B%E3%83%99%E3%82%A4%E3%82%BA%E6%8E%A8%E8%AB%96-PyMC%E3%81%AB%E3%82%88%E3%82%8BMCMC%E5%85%A5%E9%96%80-%E3%82%AD%E3%83%A3%E3%83%A1%E3%83%AD%E3%83%B3-%E3%83%87%E3%83%93%E3%83%83%E3%83%89%E3%82%BD%E3%83%B3-%E3%83%94%E3%83%AD%E3%83%B3/dp/4627077912)"
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"('data/challenger_data.csv', <http.client.HTTPMessage at 0x14bdfc002b0>)"
]
},
"execution_count": 1,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"from os import makedirs\n",
"makedirs('data', exist_ok=True)\n",
"from urllib.request import urlretrieve\n",
"urlretrieve('https://git.io/vXknD', 'data/challenger_data.csv')"
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {},
"outputs": [],
"source": [
"import numpy as np\n",
"import matplotlib.pyplot as plt\n",
"\n",
"plt.rcParams['figure.figsize']=[12,8]\n",
"plt.rcParams['font.size']=24\n"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"(23, 2)"
]
},
"execution_count": 5,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"\n",
"challenger_data = np.genfromtxt('data/challenger_data.csv',\n",
" skip_header=1, usecols=[1,2],\n",
" missing_values='NA',\n",
" delimiter=',')\n",
"challenger_data = challenger_data[~np.isnan(challenger_data[:,1])]\n",
"\n",
"challenger_data.shape"
]
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 864x576 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"plt.scatter(*challenger_data.T,s=75, color=\"k\", alpha=.5)\n",
"plt.xlabel('Outside temerature (Fahrenheit)')\n",
"plt.ylabel('Damage incident?')\n",
"plt.yticks([0,1])\n",
"plt.title('Defects of the space shuttle O-rings versus temperature')\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Modeling with PyMC\n",
"\n",
"\n",
"$$\n",
"p(t) = \\frac{1}{1+\\it{e}^{\\beta t+\\alpha}}\n",
"$$\n",
"\n",
"Whether the ring was broken is modelled as $D_i$.\n",
"\n",
"$$\n",
"D_i \\tilde \\ Bern(D_i | p(t_i)) (i=1,2,...,N)\n",
"$$"
]
},
{
"cell_type": "code",
"execution_count": 12,
"metadata": {},
"outputs": [],
"source": [
"import pymc as pm"
]
},
{
"cell_type": "code",
"execution_count": 25,
"metadata": {},
"outputs": [],
"source": [
"temperature, D = challenger_data.T\n",
"\n",
"beta = pm.Normal('beta', 0, 0.001, value=0)\n",
"alpha = pm.Normal('alpha', 0, 0.001, value=0)\n",
"\n",
"@pm.deterministic\n",
"def p(t=temperature, alpha=alpha, beta=beta):\n",
" return 1.0 / (1. + np.exp(beta * t + alpha))\n"
]
},
{
"cell_type": "code",
"execution_count": 33,
"metadata": {},
"outputs": [],
"source": [
"observed = pm.Bernoulli('bernoulli_obs', p, value=D, observed=True)\n",
"model = pm.Model([observed, beta, alpha])"
]
},
{
"cell_type": "code",
"execution_count": 34,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
" [-----------------100%-----------------] 120000 of 120000 complete in 24.1 sec"
]
}
],
"source": [
"map_ = pm.MAP(model)\n",
"map_.fit()\n",
"\n",
"mcmc = pm.MCMC(model)\n",
"mcmc.sample(120000, 100000, 2)"
]
},
{
"cell_type": "code",
"execution_count": 72,
"metadata": {},
"outputs": [],
"source": [
"alpha_samples = mcmc.trace('beta')[:].reshape(-1,)\n",
"beta_samples = mcmc.trace('alpha')[:].reshape(-1,)"
]
},
{
"cell_type": "code",
"execution_count": 73,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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0PW7v4hLHco5r+9ae+7mQbdK/0fye78/wYx3gM7kGlkYp2oxDnOtAttuKdrPe5fBdnY3olbS3pipgZocTDM2fENfgI5kktiGLM62X4cnKY8Knz2XzvdJpkwR3/4jmDG6CmdVkKH4azQv/Lzk29UTk8cAW07ZEHvckA3dfR3CsI8DBZlbyDXob9mHOwtgSIz8c08pxhmcXOZxY1oEiOzk86Sqd/xN5/GSK6dF/TTJ9AX6rlThi6Y/2vG6m045jbvN1tD1u7+ISx3KOa/vWzvu5kG1S9CiItMewm9khpB/lJVelaLNgMa8DWW0r2vF6l+m7OhvR9z+85UQz6wn8IvJSY7oR4OIS7kn89/Dpx5nKAscTnMgMwcX7WtVpk4TQ9PC+HLjLzHq3LGBmewM/C59uIzjGMDHt8HB6JtGVv+Xup+iQXP+WRbzTaM7U7zSzgzKUxYJh107Jot5CFNSHRTYjvO8F/MZSDDVnZl8k+csmJyVYB4plEPDz8J+EJGZ2NsHVIiEYZz3VruEFNI+gcmGa9eAggnU4kzj7oz2vm+m0x5hLtY5Oo/1t7+ISx3KOa/s2jfbZz4Vsk96m+Z/qU8M9Mi3r+ATwuxjjLUWbcZlGPOtALtuKuNrMSgzf1dmIjuiWlJyH6/EMYL/Iy93MbFimCs1sZmSkpzPziGk/mhO2iWZ2Ypp29qR5G/MuwfDLrerM5yQA3AmcQrBiHA4sNrNbCP7l6Ulwhb5LaR4y7DJ3Xx6Z/2iC4bv+SnBhkJdpHnFhGMGJMaeHz9cTDDkVtZhgmNY+wPfNbBXBhUUSP7Y2uHtiZAvcfb6ZXQX8mGAD+oKZ/R54jODCSYSvjyK4pPlo4B7g/px6JTeF9mEx/Zag/w8nuNT7C2Z2K8EHuZpg+ZxP8IGoJL9/Dtp0HSiivxFcBXYPM/t/BNcZGUBwAtMZYZnNpBn32d3XhuvimQRXip1nZjeG9exC0P/nA+8T/NuSrq/j7I/2vG6m0x5jLsk62k63d3GJYznHsn1rx/2c9zYp3B49QtAH/w4sNLP/JDgeuyfBBa8uAvoTnD8wutBgS9FmXGJcB7LeVpRgvSv0uzob9xNcj8uAC8L89h6C/riY4AroEFzh+Hvh4xlmNg34wN1XE7+Wydf/mNlvCC7o9xHByGDjgfMI9lpuAb7l7puzqt2LeAW4Qm5kuOJyjvX0ITizPtWV5xK37aS+LPq0VuZL3FYCY9K0f3WG+WammeccghNQsmn7/7WY98zItHFZ9M+4SPkz4+7DfOPKYfn2JxhPO11cHxIcr7cs3bqUqQ/aeh3IpZ9aW3Yt6hoPPJohjo3A+Cz6+h8Z6nib4CqPafs6l/5oj+smwUV/HFhWim1Si3oy9nOOMWW7TGLvKwrY3uXw/rKKO5t1LixXEyk3rYjrZsHbt7j6Odu+yWE5FLRNIjjh+80M828DvkOGq8Xnsj7H1Wap1se4Pmvk+JsmhvUu276almUbab+rs1yHr8pQdyPwfYI/4Je1mHZWmvruj5Q5Lo94fh5Z97a38t7fzWY9j946+54E3L0e+IqZHUvw78RhBKMmbCe4zPlTwAx3T3WhkhsJLobz+XC+YeG8PQgy0SUEWfGv3X1jmvavMbM3CVb0UQQb/YxXYHT3O8zsDwS7syYQ/HPbn2AFXEuwkVoIPOLurV2QpmAF9mGxY1tnZmOAcwmOh9+H4KSk94A/Af/p7h+l2KOdrZKsA0WwHZhI8M/dGQTrVBXB7uM/Az9z9/czVRDp6ykEJ33tSTDq0TvAA8D/dffa1vo6zv5oz+tmOu0x5lKuo+1texeXOJZznNu3dtjPBW2T3P3D8Pj/S4CTCLZHTjAc6dMEPzhfCf/FjUUp2oxTHOtArtuKNlzvCv6uzoa7X2dmiwn+mT+E4J/6LQR7+K5z9z8BmNmXgDsIrk1QRvNFE1tKnEi8lGC9z1ViT8LfCdbLqQTnxAwg6OM1BHtV/gTcE26XsmZhJiIiIiJSNOEx1/8dPj3K3eeWLhqR0jKzT9M8ZOnX3P0POc7fjWCPWx/gdnf/TswhdvoTl0VERERE2pujwvuXyXwF53T+jebrEv0jU8F8KUkQEREREWlbiSThR57fYT3Rk5aLctE2JQkiIiIiIm3I3b/h7ubuj+RZRSJJcOCfMYWVREmCiIiIiEjHkkgS3nb3umI0oCRBRERERKRjOSC8L8r5CKDRjXYyYMAAr6mpKXUYIiIiItLJLVq0aI2753Ox16Lr9NdJyFVNTQ0vvfRSqcMQERERkU7OzFpebb3d0OFGIiIiIiKSREmCiIiIiIgkUZIgIiIiIiJJlCSIiIiIiEgSJQkiIiIiIpJESYKIiIiIiCRRkiAiIiIiIkl0nQQREZESufXqR2OpZ8o1x8VSj4hIgvYkiIiIiIhIEiUJIiIiIiKSRIcbiYiItKEdO3awbt06NmzYwOhjhgJWcJ2vvfZa4YGJSM7KysqoqKigurqaqqoqzAr/PLcXShJERETaSGNjI++99x49e/Zk+PDhVPXeFMuPisHD+sUQnYjkwt1paGigrq6ONWvWsHnzZgYNGtRpEgUdbiQiItJG1q9fT/fu3Rk6dCg9e/bsND8mRLoiM6N79+7069eP3Xffnfr6empra0sdVmyUJIiIiLSRuro6+vXrp+RApJMpKyujf//+bNy4sdShxEZJgoiISBvZsmULFRUVpQ5DRIqgsrKSTZs2lTqM2OScJJjZEDObbmb/MrMtZvaRmT1iZkfnE4CZ9TSzL5rZlWb2sJl9YGYe3o7JoZ5JZva0ma01s01m9pqZ/djMqvKJS0REJG6NjY1066b/50Q6o7KyMhoaGkodRmxyOnHZzEYCTwO7hi9tBAYAxwFfNrMr3P2GHGPYB/hLjvO0jOsO4Nvh0x3AFmBv4IfAN8zscHf/oJA2RERE4qBDjUQ6p8722c767wwz6w38iSBBWAzs7+59gV2AWwjGcLvezCbkEcfHwFPADcDXcpnRzM4jSBAage8Ble5eBYwBlgN7ALPyiElEREREpEvKZU/CucDuQB0w0d1XALj7RmCqmX0K+ApwPfBkDvW+AvR3d0+8kG0mZmY9gWnh0+nufnNimrsvNLMTgUXAGDOb6O6P5BCXiIiIiEiXlMuBkaeF9/ckEoQWbgrvDzKzvbOt1N0bowlCjr4ADAKcYG9Gy7oXA3PCp6e1nC4iIiIiIjvLKkkIT/49OHz6RJpiLwAbwsefLzCubB0V3i9Jk7hAc7xtFZOIiIiISIeW7Z6EfWi+bvzSVAXcvRF4I3y6b4FxZSvRTsqYQq+G9wPNbECR4xERERER6fCyTRKGRh5nGiUoMW1ohjJxSrSTTUzR8iIiIiKd1rhx4zAzZs6cWepQYlVbW8sll1zCpz71KXr06IGZUVNTk3d9f/7znznuuOMYNGgQ5eXl7Lrrrhx99NH86U9/ii/oDirbE5f7RB5vzlAucQWJyvzCyVkirmxigjRxmdk5wDkAw4cPjycyERER6XJmzpzJsmXL+MpXvsIBBxxQ6nA6nZNOOok5c4LTTaurq+nfvz8DBw7Mq66LLrqI2267rel5dXU169at4+mnn+bpp59m1qxZTJo0KZa4O6Jsk4T2OvBrIq58T3wOZna/A7gD4JBDDimoLhERkULc9V/zc56ne/f2c4G2KdccV+oQSmrmzJnMmzePmpqakiYJw4cPZ6+99qJv374liyFuS5cuZc6cOZSXlzN//nwOPfTQvOv69a9/zW233UZ5eTnXXnst5513Hn379mXlypV8/etfZ968edx+++1KErJQF3ncG6hNUy5xrfm6NNPjlmgn0zXuo9PaKi4RERGRkrnrrrtKHULsli4NTkEdOXJkQQnCjh07uPrqqwG47rrruOyyy5qmDRkyhO9+97vMmzePNWvWFBZwB5ftXw/R4/o/kaFcYtqH+YWTs0Rc2cQEbReXiIiIiMRo8+bg6PLKysKOap87dy4ffPABVVVVXHzxxTtNTyQHn/zkJwtqp6PLNkl4neZDevZLVcDMugF7hU9fTVWmCBLtpIwplBgBabW7d+2UUEREpIOqqanBzJg7dy7vvvsuZ599Np/85Cfp1asXI0aMYOrUqWzYsCFjHQ8++CDHHHMMAwcOpGfPnuy2226cdtpp/P3vf09Zftu2bUyfPp3Ro0fTr18/ysvLGTx4MKNGjeKCCy7g+eefbyo7c+ZMzIx58+YBMHnyZMys6Zbq5NolS5Zw1llnMWLECHr16kW/fv0YM2YMv/zlL9m+fXur/bBixQrOP/989thjD3r27Jl0eFM2Jy7n2h/Ztp2tbNufNm0aZsaZZ54JwLx585L6du7cuTm1m1hG48ePp2fPnjtNv++++wA48sgjc35PnUlWhxu5e62ZvQR8BhgPPJii2OeAxIFvT8UTXqueAaYC+5nZJ9w91ShHE9o4JhERESmSt99+m5NPPpnVq1dTWVmJmbFs2TJuueUWHn74YebPn8/QocmDGTY2NjJ58uSmQ3DKysqoqqpixYoV3HPPPdx3333MmDGD8847r2meHTt2MGHChKYflGZG3759Wbt2LatWreKVV15h7dq1HHbYYQD07t2bwYMHs27dOrZv3051dTW9e/duqq/lybUzZszgoosuorGxEYA+ffpQV1fHwoULWbhwIffffz+PPfYYFRWpj6h+8803mTRpEmvWrKGiooLy8vKs+zCf/oir7Xzar6ysZPDgwWzevJmNGzdSXl5O//79m+rr0aNHTu0vWrQIgM9+9rM7TbvzzjuZN28ePXv25NRTT82p3s4mlzOd7gnvTzOzVEOJTg3vF7n7GymmF8NTwCqC93FJy4lmNorgqswAv2+jmERERKRIpk6dSt++fXn22Wepra2lvr6ehx56iAEDBvD2229zxhln7DTPjTfeyF133YWZcd1117F+/XrWr1/P+++/z6RJk2hsbOS73/0u8+c3nzR+zz33MG/ePCoqKrj77rvZtGkT69evZ+vWrSxfvpwZM2YwatSopvKnnHIKK1euZPTo0QBMnz6dlStXNt1efPHFprIPP/wwF154Ib179+anP/0pH330EXV1dWzevJknn3ySvfbai7lz5zJlypS0/XDppZcydOhQFixYQH19PXV1dTzwwANZ9WE+/RFX2/m0P3XqVFauXMn06dMBGD16dFLfJvo8Wy+//DIABx10EBAkhK+99hoXXnghZ599NhDsvfjEJzIdzd755ZIk3A4sB6qAR81sXwiuxmxmNwInheWuaDmjmXl4m5aqYjPbxcwGJG6RSdXR180sKVV1961Aos4pZnapmfUM6zwM+GP4Hhe4+6M5vFcRERFph7Zu3crjjz/O2LFjAejWrRsnnHACs2bNAmD27Nk899xzTeXr6+u5/vrrAbjsssu48sorqaqqAmDYsGHce++9jB07lsbGRq688sqm+V544QUATj/9dL75zW/Sq1cvIPjXe/jw4VxwwQVcfvnlOcff0NDARRddBMDdd9/N5ZdfzqBBgwAoLy9n/PjxPP744/Tp04ff/va3fPhh6tMpu3fvzuzZs5N+IO+5556ttp9vf8TRdlztF2LVqlVNfXrggQfym9/8hl69erHvvvsyY8YM3J2f/exn/OAHP4i97Y4m6yTB3TcDJwBrgYOApWa2AfgY+B7BOQuXu/uTecSxGFgduSXc3+L1MSni+gXwq/C93AzUmlktsBAYAbwDnJxHTCIiItLOnHzyySl/kB511FFNP1qj/2o/+eSTbNy4kR49evD9739/p/nKysq46qqrAHj22WdZuXIlEIyZD6T9kZ6vuXPnsnz5cmpqajjxxBNTlhkxYgSHHnooO3bsSHu8/emnn87gwYNzbj/f/oij7bjaL8TixYsB2G233RgwYAALFiygoaGhaXpDQwOPPfYYb731VqztdkQ5Dazs7v8A9gduI/jx3ZMgaXgMGO/uN8QeYXZxnQOcQnCOQh3BuRavAz8BDkhzroKIiIh0MOPGjUs7LXGiafTE18TjUaNGscsuu6Sc74gjjqB79+5J5Y899lggODTo+OOP58EHH2Tt2rUFx79w4UIAPvjgA4YMGZL2tmDBAgDee++9lPUkzoXIVb79EUfbcbVfiESScOCBBwLB9RLWr19S5ci8AAAgAElEQVTPSy+9xDXXXEO/fv2YP38+48ePbxpNqavK9joJTdx9JXBReMt2nowXY3P3mlzjSFHHLGBWofWIiIhI+zVs2LBWp61e3XxQQuJxpvl69erFrrvuykcffdRU/sgjj+Taa6/l2muv5ZFHHuGRRx4BYO+99+bLX/4y5557Lp/+9Kdzjj+xZ2Lbtm189NFHrZbftGlTytfzvcpwvv0RR9txtV+IlklCt27d6NevHwcffDAHH3wwEydO5JBDDmH58uXMmTOHiRMnxtp+R9J+LtEoIiIiUgB3Tztt69atOdd31VVX8eabb3L99dfzxS9+kerqal5//XVuueUW9t1337wuWJYYzejEE0/E3Vu9TZs2LWU9ZWVlObcdlU9/xNV2oe0XInHSciJJaOnAAw9sOpyttSF1OzslCSIiItJhfPBB+iOIE//SR//pTjxevnx52vm2bNnSdChRy3/JR4wYwQ9+8AP+8pe/sG7dOp555hmOOOIIduzYwfnnn8+qVatyij9xLP+rr7bVJaWSFdofHbn9+vp63n77baB5ZKOWGhsbm9rOtLejK1CSICIiIh1G4roFmaZFfwAmHr/11lusWLEi5Xzz589nx44dO83bUllZGePGjePRRx+lvLyc+vp6XnrppaQy3boFP63S7dVIHM//xhtvsHTp0rRtFUuc/dHR2v/HP/5BY2Mj/fv3Z/jw4SnLPPfcc6xdu5aKigoOPfTQ2NruiJQkiIiICDt2NBZ8awv3338/77zzzk6vz58/v+lk30mTJjW9PmHCBKqrq9m+fTs33XTTTvM1NDRw3XXXAXD44YczZMgQIDhnIJ0ePXo0HXLT8rCZxKhIH3/8ccp5jz766KYfqFOmTEkaWael9evXp52Wr3z7ozO0nzgfob6+PuU61NDQ0DTs6qmnnpp0MbyuSEmCiIiIdBg9evTg2GOPbRolqLGxkUceeYSvfe1rAIwfP54xY5pHTO/Tpw9XXBFcwum2227jJz/5CXV1dQCsWLGCb3zjGzz33HN069aNH//4x03znX766UyePJknnniC2trapteXLVvGGWecwZYtW+jduzeHH354Unz77bcfAA8++GDKY9rLy8v5+c9/jpkxe/ZsJkyYwF//+temPQ87duxg0aJF/OAHP2CPPfYouL9ayrc/OkP7iSRh69atHHPMMU3X02hsbGTp0qUcf/zxPPvss/Tv359rr7021rY7opxHNxIREREplZtvvpkrrriCMWPGUFlZSUNDQ9NQlXvuuSd33nnnTvNMnTqVV199lbvuuosrr7ySq6++murqaj7++GPcnW7duvHzn/+cI444ommeLVu2cP/99zNz5kzMjL59+7Jt27am0YbKysq4/fbbGTBgQFJb3/rWt7j55pt57rnnGDBgAIMGDaK8vJzddtut6Ufp8ccfz29+8xu+853v8PTTT3PooYfSq1cv+vTpw8cff5xx70Ic8umPztB+4qRlM+Ott97i8MMPb7pI3pYtWwAYMmQIDz30EEOHDo217Y5ISYKISDt069XxXCR+yjXHxVKPSHux5557No1p/8QTT7B69Wpqamr46le/ylVXXUXfvn13mqesrIw777yT448/njvuuINFixaxceNGhg4dypFHHsmll17KwQcfnDTPDTfcwJgxY3j66ad56623+PDDD2loaOBTn/oURxxxBBdffDEjR47cqa29996b2bNnc/311/Piiy+ycuXKphGNoiZPnsxRRx3F9OnTmT17NsuXL2fDhg3suuuu7Lfffnz5y19u2jsSt3z6o6O3v2PHDpYsWQLArFmz+N3vfseCBQtYv349lZWVjBw5kokTJ3L++efTv3//WNvuqCzTcGFd0SGHHOItT0ISEWlrShI6p9dee4199tmn6flHK1Ift56rwcP6FVxHHLHEEUc6NTU1LF++nGeeeSbjBdVEUvnnP//JyJEjqaiooLa2tukE87i1/Iy3xswWufshRQmmQDonQUREREQ6tcT5CPvvv3/REoTORocbiYiIdHBx7ZEQ6awSScIBBxxQ4kg6DqVSIiIiItKpJU5aHjVqVIkj6TiUJIiIiIhIp6YkIXc63EhERETavWXLlpU6BOnAinFhus5OexJERERERCSJkgQREREREUmiJEFERERERJIoSRARERERkSRKEkREREREJImSBBERkTbk7qUOQUSKoLN9tpUkiIiItJFu3brR2NhY6jBEpAgaGhooKysrdRixUZIgIiLSRnr16sWmTZtKHYaIFEFdXR0VFRWlDiM2ShJERETaSGVlJR9//HGnOyxBpKtraGhg3bp1VFdXlzqU2OiKyyIiInm49epHc57HDPY/dAD1tVup6tOXsrLumFkRohORYnN3GhoaqKurY926dfTp04eqqqpShxUbJQkiIiJtxB1efXEt6z7azCdqPqa8hwGdJ0lYt7F3qUMQaVNlZWVUVFQwYMAAqqqqOlXSryRBRESkDTXscFa8U8+Kd+pLHUrsplxzXKlDEJGY6JwEERERERFJoiRBRERERESSKEkQEREREZEkShJERERERCSJkgQREREREUmiJEFERERERJIoSRARERERkSS6ToKIiIjEIp+rUKei6y2IlJ72JIiIiIiISBIlCSIiIiIikkRJgoiIiIiIJFGSICIiIiIiSZQkiIiIiIhIEiUJIiIiIiKSREOgiohIlxLXMJ0iIp2Z9iSIiIiIiEgSJQkiIiIiIpJESYKIiIiIiCRRkiAiIiIiIkmUJIiIiIiISBIlCSIiIiIikkRJgoiIiIiIJFGSICIiIiIiSZQkiIiIiIhIEl1xWUSkE4vj6sJTrjkuhkhERKQj0Z4EERERERFJoiRBRERERESSKEkQEREREZEkShJERERERCSJTlwWEYlZHCcLi4iIlJL2JIiIiIiISBIlCSIiIiIikkRJgoiIiIiIJFGSICIiIiIiSXTisoiIiLQrulK4SOlpT4KIiIiIiCRRkiAiIiIiIkmUJIiIiIiISBIlCSIiIiIikkRJgoiIiIiIJFGSICIiIiIiSZQkiIiIiIhIkpyTBDMbYmbTzexfZrbFzD4ys0fM7OhCAjGzajP7sZm9ZmabzGytmT1lZl9rZb5lZuat3KYWEpuIiIiISFeS08XUzGwk8DSwa/jSRmAAcBzwZTO7wt1vyDUIM9sNmA+MCF+qA6qBzwOfN7Nfuvt5rVSzHtiWZlp9rjGJiIiIiHRVWe9JMLPewJ8IEoTFwP7u3hfYBbgFMOB6M5uQSwBmZsADBAnCMmCMu1cBVcD3gUbgO2b27VaqOsndh6S5/SKXmEREREREurJcDjc6F9id4F/+ie6+FMDdN7r7VOChsNz1OcZwAvA5gmTgRHdfGNa7xd1vAm4Ly11rZj1yrFtERERERHKUS5JwWnh/j7uvSDH9pvD+IDPbO49657j7yymm3ww4MITg8CMRERERESmirJIEM6sCDg6fPpGm2AvAhvBxLj/mx2WqN0xIluZRr4iIiIiI5CHbPQn7EJxzAM0/2JO4eyPwRvh032wqNbNBBCc+p6039GoW9d5qZqvNbJuZrTSzP5vZqWZWlk0sIiIiIiISyDZJGBp5/EGGcolpQzOUKVa9BwAVwBZgMHAs8HvgKTPrl2U8IiIiIiJdXrZDoPaJPN6codym8L6yDet9iGD41HnuvhbAzIYDFwKXAEcCs4C0oy6Z2TnAOQDDhw/PMnQREcnFrVc/WuoQREQkS9nuSbDWi+QlWq/nU4G7X+zuDyYShPC1d939ewSJAsD4TEOzuvsd7n6Iux8ycODAfMIQEREREek0sk0S6iKPe2coV5GifLb1VqQtlXu9Cb8guPYCwMQc5xURERER6ZKyTRKi5wt8IkO5xLQPS1wvAO7uwIvh0z1ymVdEREREpKvKNkl4nebDgfZLVcDMugF7hU9fTVWmJXdfDazJVG8oMapRVvW2DC3RXB7zioiIiIh0OVklCe5eC7wUPh2fptjngL7h46dyiOGZTPWa2TCaE4hc6sXMDDgkfLosl3lFRERERLqqbEc3ArgH+Axwmpld6+4tD/2ZGt4vcvc3yN49wCRggpmNcvd/tJh+CcHegA9pTiiAIAkIDylK51ygJnz8WA4xiUgbimPUmynXHBdDJCIiIgLZH24EcDuwHKgCHjWzfSG4GrOZ3QicFJa7ouWMZubhbVqKeh8G/hrG8kczOzScp6eZXQpcHJa72t23tZj3NjObbmZjzazphGoz+6SZ3QDMCF96xt0fz+G9ioiIiIh0WVnvSXD3zWZ2AsEhPwcBS81sI8G1C7oRHPN/hbs/mUsA7u5m9jWCax2MAJ43szqgVyS+X7r7r1LMXgWcAfwH0GhmG4AyoDpSZh7wtVxiEhERERHpynI53Ah3/4eZ7Q9cDhwHDAPWAn8DbnX3nM4ZiNT7vpkdAFxGsEeiBqgFXgZ+4e7/k2bWXwKrgdHAcGBXgoTlPYJzKO4F/uDujfnEJSIiIiLSFeWUJAC4+0rgovCW7TytXozN3TcCPwxv2db7AvBCtuVFRCR3ulKydEQ610mkMDknCSIinZl+EIuIiOR24rKIiIiIiHQBShJERERERCSJDjcS6aJ0WI2IiIikoz0JIiIiIiKSREmCiIiIiIgkUZIgIiIiIiJJlCSIiIiIiEgSJQkiIiIiIpJESYKIiIiIiCTREKgi0iloSFcREZH4aE+CiIiIiIgk0Z4EkTYU17/dU645LpZ6RERERFLRngQREREREUmiJEFERERERJIoSRARERERkSRKEkREREREJImSBBERERERSaLRjaTT04hCIiIiIrlRkiDSAenCYSIiIlJMOtxIRERERESSKEkQEREREZEkShJERERERCSJkgQREREREUmiJEFERERERJIoSRARERERkSRKEkREREREJImukyCSJV2bQERERLoK7UkQEREREZEkShJERERERCSJkgQREREREUmiJEFERERERJIoSRARERERkSRKEkREREREJImSBBERERERSaIkQUREREREkihJEBERERGRJLrisoiIiEgKt179aCz1TLnmuFjqEWlL2pMgIiIiIiJJlCSIiIiIiEgSJQkiIiIiIpJESYKIiIiIiCTRicuyE52oJSIiItK1aU+CiIiIiIgk0Z4Eadfi2qshIiIiItnTngQREREREUmiJEFERERERJIoSRARERERkSRKEkREREREJImSBBERERERSaIkQUREREREkihJEBERERGRJEoSREREREQkiS6mJkWjC6GJiIiIdEzakyAiIiIiIkmUJIiIiIiISBIdbiQiIiJSRHEcfjvlmuNiiEQke9qTICIiIiIiSZQkiIiIiIhIEiUJIiIiIiKSREmCiIiIiIgkUZIgIiIiIiJJNLqRiIiIiLSpuC64qlGfikdJgoiIiIh0SBpetniUJHQycWXmIiIiItJ1KUloR/QDX0RERETaAyUJIiIiIl2EDs+RbOWcJJjZEOBy4DhgGLAB+Bvwf939qXwDMbNq4PvAV4Hdgc3Ay8Av3P2BLOafBJwHjAJ6A8uBPwA/c/fafOMSERERKbX2dLRBe4pFiienIVDNbCSwBPgPYA9gKzCAIGGYbWY/yCcIM9uNICH4IbA30ABUA58H/sfMftHK/HcAs4Cjwvkawnp+CLxsZp/IJy4RERERka4o6yTBzHoDfwJ2BRYD+7t7X2AX4BbAgOvNbEIuAZiZAQ8AI4BlwBh3rwKqCPYsNALfMbNvp5n/PODbYbnvAZXh/GMI9ibsQZBAiIiIiIhIFnLZk3AuwWFAdcBEd18K4O4b3X0q8FBY7vocYzgB+BzBj/wT3X1hWO8Wd78JuC0sd62Z9YjOaGY9gWnh0+nufrO7bw3nXwicCDgwxswm5hiXiIiIiEiXlEuScFp4f4+7r0gx/abw/iAz2zuPeue4+8sppt9M8EN/CMHhR1FfAAaF029pOaO7LwbmtGhHREREREQyyCpJMLMq4ODw6RNpir1AcBIz7PxjPpNxmeoNE5Klaeo9KrxfkiZxidabS0wiIiIiIl1WtnsS9iE45wCaf7AncfdG4I3w6b7ZVGpmgwhOfE5bb+jVNPUmnmcz70AzG5ChnIiIiIiIkH2SMDTy+IMM5RLThmYoE2e9Q1tMzzRvLnGJiIiIiHRZ2SYJfSKPN2cotym8r2yjehPzZzNvLnGJiIiIiHRZ2V5MzVovkpdovV7A/PnM21yJ2TnAOeHTOjN7I1N5id0AYE2pg5CS0LLvmrTcuyYt966rXS/7S64tafO7l7T1DLJNEuoij3sD6a5gXJGifLb1VqQtlb7euhbTM82bNi53vwO4I0MdUkRm9pK7H1LqOKTtadl3TVruXZOWe9elZd8xZXu4UfS4/kxXL05M+7CN6v2gxfRM8+YSl4iIiIhIl5VtkvA6zYf07JeqgJl1A/YKn76aqkxL7r6a5t1PKesNJUYxallv4nk2865293a7q0tEREREpL3IKklw91rgpfDp+DTFPgf0DR8/lUMMz2Sq18yG0ZwEtKw3Me9+ZpZub8KEPGKStqVDvbouLfuuScu9a9Jy77q07Dsgc8/unF8zuxi4leB8hL3c/cMW0/8AnAQsyuW4MzP7CvBHoBE4yN3/0WL6LcAlBIcK1bj7tsi0nsC7BFddvsXdp7aYdxTwd4JkaKK7P5ptXCIiIiIiXVW2hxsB3A4sB6qAR81sXwiuxmxmNxIkCABXtJzRzDy8TUtR78PAX8NY/mhmh4bz9DSzS4GLw3JXRxMEAHffCiTqnGJml4aJA2Z2GEHy0Q1YoARBRERERCQ7We9JgKZ/5p8Cdg1f2khw7YFuBOcsXOHuN6SYL9HINe4+LcX03YD5wIjwpTqgF82jL/3S3c/LENcdwLfDp9uBrTRfE+Ed4HB3z3TBNRERERERCeWyJ4HwUKD9gdsIfnz3BNYCjwHjUyUIWdb7PnAA8FOCk6S7ExzW9AxwcqYEIZz/HOCUsHxdOP/rwE+AA5QgtC9mNtDMzjWz/zGzf5nZFjOrN7PXzGyGme3Zyvyexe1rbfV+JHuFLvuwDjOzc8zseTP72MxqzWyxmX3PzHq0xfuQ3IR7hr9oZlea2cNm9kHks3pMFvMvy+IzP7W1eqRtFbrcI/VMMrOnzWytmW0Ktxc/NrOqYsYvxWFm47L8Hh9Q6li7upz2JIjEwcy2k3yNjjqgR3gD2AKc5e73ppk/sdKuARrSNHO2DjFrf2JY9uXAQ8CXwpe2EawDvcPnLwKfd/dsr9UibcDMDgAWp5l8rLv/pZX5lxFccGg9wTJP5Rp3/0XeQUrsCl3uYR3RIwV2EGwjdKRAB2Zm4wj+1G0EVmcouq+7r2uToCSlnPYkiMSkO8HhZWcAQ929iuCid2OBlwkONbvLzEa2Us9n3H1ImpsShPap0GX/Y4IEYQtwZjhvH2AisA74DMH5U9L+fExwuOoNQL57+k7K8JlXgtA+5b3czew8ggShEfgeUBluM8YQnCO5BzAr1milLb2X4fM8RAlC6WlPgrQ5MzvC3eenmTYQWEIwYtVMd5+cokxipR3h7suKFqjErpBlb2ZDgGUEhzle5O63tZh+AsFeBic4zPCV+N+B5CO8jo575Asn8jnOZU/CUe4+t1hxSrwKWe4tRi+81d0vaTH9QGARYMDx7v5I3PFLcUT2JCx395rSRiOZaE+CtLl0PxLDaauBP4dPD26biKStFLjsv0qQIGwgxZjb7v4w8CbBj4ZTCw5WYuPuja5/pLqcApf7FwgSBAduSVH3YmBO+PS0PNsQkQyUJEh7tDa8LytpFFIKmZb9UeH9fHffkmb+J8P7z8calYi0tcTnfYm7r0hT5onwXp93kSJQkiDt0ZHh/ZJWys0ys/VmttXM3jezP5jZl4sdnBRVpmW/b3i/NMP8r4b3+5iZxRaVtBe3mtlqM9tmZivN7M9mdqqZ6Q+FzieXz/tAjYTTIQ00s7+HI9zVm9mbZnaHmf17qQOTgJIEaVfC48oTV+z+71aKf4bgH+ftwDCCC/o9amazNBRmx5PFsh8a3mcaySQxrZLmEVCk8ziA4GT1LcBg4Fjg98BTZtavlIFJ7HL5vEfLS8dRARxIcG2r7sCnCU5UX6whjdsHJQnSbpjZMJqPNf9ThpPa7gSOAXZx92p3rwT2ofmH5SRgRlGDlVhluez7hPebM1S1KfJYSULn8RDBOSkD3L2Pu1cTnMh8M8HIN0eiUW46G33eO6+PgZsI/hTq7e79CRKGI4GFBH/+3WRmOresxJQkSFbM7EdmtiPP20+yqL+S4IfAIIKh7f5PurLufqa7P+HuH0dee93dzyLY8ACcbWZ7F/auBdrXsg/pBNg2UOzlngt3v9jdH3T3tZHX3nX37wEXhi+NN7MJcbbbFbWj5Z44XFCf93YgzvXC3V929++7+6LE+WXu3hAObHEUsCAs+rNwhCwpEXW+ZKsbQXaf7y0tM+sFPEzwr8Jq4IvuvibPOK8h+OfJAJ2fEI/2suzrw/uKDFVGp+mCaoUp2nKP2S8IhsaF4HoZUpj2stwTn1993tuHNlkv3H0bcFX4dDeCw5GkRLq3XkQE3H0aMC3uesNzBx4gGJ3iY2CCu7+Rb33uXm9mSwjOV9gjnii7tna07D8A+gGfyFAmMa0O/WgoSLGWe9zc3c3sRaAGfeYL1o6W+wcE56Bk83kH+LC44XRtbbxe/DXyeA+C62FICWhPgpSMmXUH7iX4x78O+JK7vxxH1eG9dlO3U3ku+8RIJvtlKJMYEeU1jcvfpegz3/nk8nlfXcDeZ2nf9JkuISUJUhLhcYZ3EoxItJngipnPx1BvH5q/VJYVWp/Er4Bl/0x4f3h4mFIq48P7pwqLUjqKcKjbxKhYy0oYisQr8Xnfz8zS7U1InIOiz3vn8rnI42WlCkKUJEgJhF/qdxBcFXcbcJK7P5N5rqR5M7kK6E3w78OfWykrbayQZQ88SDBUXj/g7BR1TwT2Ilj298YSsJRcFp/5cwkONQJ4rLjRSBt6ClhF8DvlkpYTzWwUwVWZIRgGVzqITJ9pMysHrg2ffgj8vU2CkpSUJEgp/CfBCDY7gJMzDHWayiwz+4mZHRK9FoKZ7WVmvwIuC1+6091fTV2FlFDey97dVwLTw6c3mtm3LLyIlpl9ieYhcO9191dijFliYGa7mNmAxC0yqTr6evgjIeo2M5tuZmPNrHekvk+a2Q00D3f8jLs/Xuz3IbnJd7m7+1aaj4GfYmaXmlnPsM7DgD8S/IZZ4O6PtsFbkfgsMbMLzezTiYTBzMrMbCxBcjg2LHe5uzeWLErBdNiutCUzG04wzCUEF0Fbl6m8uw9pMf9cmq/K2wBsAHrSPKY2BCfDfjP8kpF2otBlH9ZRTjBc6pfCl7YSrAeJUU5eBI5299o4Ypb4mNkygmsbtOYod58bmW8mcEb4tJHgM18GVEfmmUewVyrjOiVtL9/lHpn/DoILbEGw3dhK8zUR3gEOd/dMF1yTdsbMoj88twK1BJ/nxB9/DcAP3f1nbR2bJNPoRtLWonuvygmumpqLnwKvAIcSDI/Wn+CHw/8CLwAz3f3JGOKU+BW67HH37eFhRd8GziQ4cbEMeJngEKP/Gw6hJ53HLwmGxx0NDAd2JViX3gNeIljuf9A/jp2Tu59jZnOA7xCMdtQbeB34A/Az/SHQIZ0LjAEOJrg+zi4E56e9QZDw/0JHArQP2pMgIiIiIiJJdE6CiIiIiIgkUZIgIiIiIiJJlCSIiIiIiEgSJQkiIiIiIpJESYKIiIiIiCRRkiAiIiIiIkmUJIiIiIiISBIlCSIiIiIikkRJgoiIiIiIJFGSICIiIiIiSZQkiIiIiIhIEiUJIiIiIiKSpHupA2hvBgwY4DU1NaUOQ0REREQ6uUWLFq1x94GljiMVJQkt1NTU8NJLL5U6DBERERHp5MxsealjSEeHG4mIiIiISBIlCSIiIiIikkRJgoiIiIiIJFGSICIiIiIiSZQkiIiIiIhIEiUJIiIiIiKSREmCiIiIiIgkUZIgIiIiIiJJdDE1EekUHt3/2FjqOW7J47HUIyIi0pFpT4KIiIiIiCTRngQREZE24u7U1tayceNGNm3aRENDQ6lDEpEClJWVUVFRQXV1NVVVVZhZqUOKjZIEERGRNuDurFq1ivr6evr378+QIUMoKyvrVD8qRLoSd6ehoYG6ujrWrFnD5s2bGTRoUKf5TCtJEBERaQO1tbXU19ez++67U1ZWVupwRKRAZkb37t3p168fVVVVLF++nNraWqqrq0sdWix0ToKIiEgb2LhxI/3791eCINIJlZWV0b9/fzZu3FjqUGKjJEFERKQNbNq0icrKylKHISJFUllZyaZNm0odRmyUJIiIiLSBhoYG7UUQ6cTKyso61WAEOidBREourmsciLR3neWERhHZWWf7fGtPgoiIiIiIJFGSICIiIiIiSZQkiIiIiIhIEiUJIiIiIiKSREmCiIiIiIgkUZIgIiIi0smMGzcOM2PmzJmlDiVWtbW1XHLJJXzqU5+iR48emBk1NTWlDqtT0hCoIiIiIjGZOXMmy5Yt4ytf+QoHHHBAqcPpdE466STmzJkDQHV1Nf3792fgwIEljqpzUpIgIiLSTnT0a4Yct+TxUodQcjNnzmTevHnU1NSUNEkYPnw4e+21F3379i1ZDHFbunQpc+bMoby8nPnz53PooYeWOqROTUmCiIiISCdz1113lTqE2C1duhSAkSNHKkFoA53unAQz28PMbjWz18yszsw2hI9/a2ZHljo+EREREcnd5s2bAaisrCxxJF1Dp0oSzOwsYAlwMbB3+HJ5+Hgy8K0ShSYiIiIFqKmpwcyYO3cu7777LmeffTaf/OQn6dWrFyNGjGDq1Kls2LAhYx0PPvggxxxzDAMHDqRnz57stttunHbaafz9739PWX7btm1Mnz6d0aNH069fP8rLyxk8eDCjRmpQejUAACAASURBVI3iggsu4Pnnn28qO3PmTMyMefPmATB58mTMrOmW6uTaJUuWcNZZZzFixAh69epFv379GDNmDL/85S/Zvn17q/2wYsUKzj//fPbYYw969uyZdHhTNicu59of2badrWzbnzZtGmbGmWeeCcC8efOS+nbu3Lk5t+3u3HfffXzhC19gl112oV+/fowdO5ZnnnmmqcxXv/pVzIxnn3025/o7g05zuJGZfR34NWDADOBWd38nnDYYGA/0KF2EIiIiUqi3336bk08+mdWrV1NZWYmZsWzZMm655RYefvhh5s+fz9ChQ5PmaWxsZPLkyU2H4JSVlVFVVcWKFSu45557uO+++5gxYwbnnXde0zw7duxgwoQJTT/6zYy+ffuydu1aVq1axSuvvMLatWs57LDDAOjduzeDBw9m3bp1bN++nerqanr37t1UX8uTa2fMmMFFF11EY2MjAH369KGuro6FCxeycOFC7r//fh577DEqKipS9sObb77JpEmTWLNmDRUVFZSXl2fdh/n0R1xt59N+ZWUlgwcPZvPmzWzcuJHy8nL69+/fVF+PHrn9vFu7di1f//rXk06Arq2tZcGCBUyYMIF//vOfdOvWjYceeohx48Zx+OGH51R/Z9Ep9iSY2SDgvwgShCvc/cJEggDg7h+5++/c/bclC1JEREQKNnXqVPr27cuzzz5LbW0t9fX1PPTQQwwYMIC3336bM844Y6d5brzxRu666y7MjOuuu47169ezfv163n//fSZNmkRjYyPf/e53mT9/ftM899xzD/PmzaOiooK7776bTZs2sX79erZu3cry5cuZMWMGo0aNaip/yimnsHLlSkaPHg3A9OnTWblyZdPtxRdfbCr78MMPc+GFF9K7d29++tOf8tFHH1FXV8fmzZt58skn2WuvvZg7dy5TpkxJ2w+XXnopQ4cOZcGCBdTX11NXV8cDDzyQVR/m0x9xtZ1P+1OnTmXlypVMnz4dgNGjRyf1baLPs7F161a+9KUvMWfOHPbdd18WLVrEhg0b+OCDDzjggAPYsWMHv/rVr7jxxhtpbGzkqquuyrruzqZTJAnAecAuwBvAz0oci4iIiBTJ1q1befzxxxk7diwA3bp144QTTmDWrFkAzJ49m+eee66pfH19Pddffz0Al112GVdeeSVVVVUADBs2jHvvvZexY8fS2NjIlVde2TTfCy+8AMDpp5/ON7/5TXr16gUE/3oPHz6cCy64gMsvvzzn+BsaGrjooosAuPvuu7n88ssZNGgQAOXl5YwfP57HH3+cPn368Nvf/pYPP/wwZT3du3dn9uzZST+Q99xzz1bbz7c/4mg7rvYLccstt/C3v/2NiooKHn/8cQ466CAAhgwZwv9v787j5KrKhI//niSEJZCQsAhGVvUFAfeoCMoiimyiiDCDCoqOOO46bujoiLggiuMovi6or6C4II4DgiKgiIiIMYCOoCyKRAGBAAESQvbn/ePeSldXqqqru2vt/n0/n/upqnvPOff0qdPd97n3nnPf+973AnDllVfyzW9+k7322ovnPe95ba/DoJgoQcIrytdvZObantZEkiR1zNFHH133gHT//fdfd9BafVb7kksu4aGHHmL69Om85z3vWS/f1KlT150t/uUvf8ldd90FFLegAA0P0sfq8ssvZ+HChey4444cccQRddPstNNO7Lnnnqxevbrh/fbHHXccj3rUo0a9/7G2Rzv23a79j9XKlSv5zGc+A8CJJ57I9ttvP2x7pV/Nnz+flStXTuqrCDABxiRExBbA48uPV0bE84D3As8ENgRuA34InJaZ9/akkpKktmjHcwScy3+w7bfffg237bvvvlx11VXDBr5W3j/5yU9m9uzZdfPts88+TJs2jdWrV3PttddyyCGHcPDBB3Pqqady/vnnc/jhh/PqV7+afffdly222GJc9b/qqqsAuPPOO9lmm20apqsMwv773/9ed3tlLMRojbU92rHvdu1/rC655BLuvfdepk2bxpve9Kb1tleuFgHMmzePgw46qC37HVQDHyQwFCAAHAi8n2JswpJy3RPK5ZUR8YLM/FOX6ydpgHgQKvW3uXPnjrht0aJF69ZV3jfLt9FGG7HFFltw9913r0u/7777cvLJJ3PyySdzwQUXcMEFFwCw6667cuihh/L617+exz/+8Q3LbKRyZWLlypXcfffdI6ZftmxZ3fVjfcrwWNujHftu1/7HqjJz0XOe85xhA5/rmexXEWBi3G60edX79wM3AM/KzJnApsAhwD3AXOC/I2IiBEaSJKlGZjbctmLFilGX98EPfpCbb76ZU045hRe+8IXMnDmTG2+8kU9/+tPstttuY3pgWWU2oyOOOILMHHE56aST6pYzderUUe+72ljao137Hu/+x+q6664DYO+99667vfIcht13353DDz+8a/XqVxMhSKj+GdYAR2TmfIDMXJuZFwGvKbc/AVjvBsCIOCEiFkTEgnZGrJIkqb3uvPPOhtsqZ+mrz3RX3i9cuLBhvuXLl3PfffetlxeK8QEnnngiP/nJT7j//vv5+c9/zj777MPq1at54xvfyD333DOq+lfu5f/jH/84qnztMt72GOT933bbbQBst912dbf/53/+J9D6IOyJbiIECUur3v8oM/9cmyAzfwTcXH58fp3tZ2TmvMyc1+5fBkmS1D6V5xY021aZsab6/S233MIdd9xRN98VV1zB6tWr18tba+rUqey3335ceOGFbLDBBjz88MMsWLBgWJopU4pDq0ZXNSr38990003ccMMNDffVKe1sj0Hb/8qVK4GhqznVFixYwDnnnAMw6uc+TFQTIUioPqVwU5N0lW31w0dJktT3zjnnHG699db11l9xxRX86le/AuCoo45at/7AAw9k5syZrFq1ik996lPr5VuzZg0f+chHAHjuc5+7bjBx5YCynunTp6+75ab2tpnKrEgPPPBA3bwHHHDAull13vGOd7BmzZqG+1m8eHHDbWM11vaYCPuvnAieP3/+sPUrV67khBNOWBfYNftOJpOJECTcCjxSvm98M+KQVtJIkqQ+NH36dA4++OB1swStXbuWCy64gJe97GUAvOAFLxh2z/mMGTN4//vfD8DnPvc5Pvaxj7F0aXETwh133MExxxzDlVdeyZQpU/joRz+6Lt9xxx3H8ccfz8UXX8ySJUvWrb/tttt41atexfLly9l4443Xexrv7rvvDsAPfvCDdTMUVdtggw04/fTTiQguvfRSDjzwQH7zm9+sO0BdvXo111xzDSeeeCI777zzuNur1ljbYyLsvzIz1tlnn71umtx77rmHI488kuuuu27dd/eLX/yipUHlE93ABwnlcxEuLz/u2iTpLuVr45vgJElSXzvttNNYvHgxe++9N5ttthmbbrophx9+OIsWLeJxj3scZ5111np53vWud3HccceRmXzgAx9g8803Z86cOWy33Xace+65TJkyhdNPP5199tlnXZ7ly5dz5plnctBBBzFr1ixmz57NjBkz2GmnnTjnnHOYOnUqX/7yl9lyyy2H7evYY49l+vTpXHnllWy55ZbMnTuXHXfccd3D3wAOP/xwvva1rzF9+nQuu+wy9txzTzbZZBO23HJLNtpoI+bNm8epp57a8GrEeI2lPSbC/t/xjncwe/ZsVq9ezVFHHcXMmTPZdtttufDCC3niE5/IxRdfzGabbcb999/PTjvtxGtf+9q27n/QDHyQUPpm+XpoRKw32iQiDgX+T/nxx12rlSRJaqvHPe5xLFiwgNe85jXMmjWLNWvWsOOOO/LOd76TBQsWsO22266XZ+rUqZx11ll8//vf58ADD2TzzTdn6dKlbLvtthxzzDHMnz+fN77xjcPyfOITn+CTn/wkBx10EDvvvDMrV65kzZo1PPaxj+X444/n2muv5dhjj11vX7vuuiuXXnrpuuDirrvuYuHChdx+++3D0h1//PHcdNNNvP3tb2f33Xdn2rRpPPjgg2yxxRbsv//+nHbaaesG2rbbWNpjIux/++235+qrr+boo49m6623ZtmyZcyaNYtjjjmGX/7yl8ydO5fvfve7bL/99jzyyCMNBzhPFtFsurBBERFTgPnA04Hrgddk5m/L9QcCZwKPKtPsmU1+6Hnz5mXtICRJndWOZxP0E5+T0DmD/ByLP/3pTzzhCU/oyb4ngh133JGFCxfy85//vOkD1aReGu3veURck5nzOlilMZsQzwzIzLUR8RLgF8AewPyIWAJMBTYpk90EvKxZgCBJkiRp4txuRGbeDjwZ+DDF1YSpFIOUrwP+HZiXmfWfbS5JkiRpnQlxJaEiM5cCJ5WLJEmSpDGYMFcSJEmSJLXHhLqSIEmSJqZOzfQjqT6vJEiSJEkaxiBBkiRJ0jAGCZIkSZKGMUiQJEmSNIwDlyWN2UR7UrIkSSp4JUGSJEnSMF5JkCYprwJI3ZeZRESvqyGpAzKz11VoK68kSJLUBdOmTWPlypW9roakDlm5ciXTpk2c8+8GCZIkdcGsWbO47777JtzZRknFVYT77ruPWbNm9boqbdPxICEint/pfUiS1O/mzJnDihUruP3221myZAlr1qwxYJAGWGayZs0alixZwu23386KFSuYM2dOr6vVNt24JnJJRCwEzgTOzMyFXdinJEl9Zdq0aeywww4sXryYxYsXc+edd7J27dpeV0vSOEyZMoWNN96YGTNmMHv2bKZMmTg36XQjSFgG7AD8B/DBiLgM+H/A/2Tmii7sX5KkvjBlyhS22GILtthii15XRZKa6ka48yjgdcCvy/09H/gW8I+I+HxEPL0LdZAkSZLUoo4HCZn5cGZ+LTOfA+wCnAr8A9gceAMwPyJ+HxFviYiJcyOXJEmSNKC6euNUZt6Sme8DtgcOA/4HWAU8Efgv4I6IOCciDgonkpYkSZJ6oiejKzJzbWb+ODNfBswF3g78EdgQeBnwI2BhRHwoIrbpRR0lSZKkyaofhmDvSHEb0qOBBKJcHkMx2PnWiPhQz2onSZIkTTI9CRIiYquIeEdE/C8wH/hXYDbwe+DNFAHDscBVwEbAf0TEe3pRV0mSJGmy6VqQEBFTI+JFEfE/wO3AacAewBLgDGBeZj4tM7+QmXdl5rcy87kUMyMFcEK36ipJkiRNZh1/TkJE7AYcD7wS2JrigB+KqwRfAb6XmY80yp+ZX4uIUymetSBJkiSpw7rxMLU/lK8BLAK+CXw1M28cRRlLKW5HkiRJktRh3QgSArgU+CpwXmauGkMZe9OdukqSJEmTXjcOvHfKzIXjKSAz72hXZSRJkiQ1142By/tGxFGtJo6Il0bEcZ2skCRJkqTGuhEknEnxNOVWfRr4f52piiRJkqSRdGsK1Bg5ybjSS5IkSWqTfnjicq3NgeW9roQkSZI0WfXVjEER8VJgFjCa6VElSQPgwj0O7nUVJEktanuQEBFvA95Ws3qriLi1WTaK4GAWkMAP2l0vSZIkSa3pxJWEzYEdqz4nMLVmXSOrgO8AH2l7rSRJkiS1pBNBwpnA5eX7AC4D7geObJJnLfAQcEtmLutAnSSpa9pxW81h11/UhppIkjQ2bQ8SygenrXt4WkT8Dbg7M3/R7n1JkiRJar+OD1zOzB07vQ9JklrVrgHUXu2RNJH14xSo4xYRm0bE3yMiy+XVva6TJEmSNCjaeiUhIvYp3y7LzAU160YlM68YR1U+CjxmHPklSZKkSavdtxtdTjGb0U3AbjXrRiMZY90i4mnAm4HfAM8aSxmSJEnSZNbuIOFvFAf4d9ZZ13ERMQX4cvnxDcC13divJEmSNJG0NUioN0i5ywOX3wLMAz6fmddFRBd3LUmSJE0ME2bgckTMpXgI293AB3pcHUmSJGlgdXwK1C46HdgMeGNmPtjrykid1K4pHCVJkurpSpAQEdOBtZm5umZ9AP8K7AtsCPwE+Epmrh1l+S8CjgAuz8yz21NrSZIkaXLq+O1GEXEC8AhwZp3NFwCfB44CXgx8AThvlOXPKMtYBbxprHWMiAURsWDRokVjKUKSJEmaMLoxJqFyX8Q3qleWZ/8PKT+eA3yd4kD/0Ih4xSjKPxnYHvhMZv5xLBXMzDMyc15mzttqq63GUoQkSZI0YXQjSNi9fJ1fs/5YiqlRT8nMl2fmaylmJwrguFYKjoinAG8D/k4RLEiSJEkap24ECVsDD2fmAzXrn1e+fqVq3dkUgcNTWiz7s8BU4N8phjhsWr1UpduwXLfJGOovSZIkTSrdCBI2prg6sE5E7ALMAW7NzIWV9Zn5CPAAsHmLZe9Qvn4DWFJnqfhS+XlMtyNJkiRJk0k3goR7gE3K5xhUVMYpXFkn/UaAU5hKkiRJPdKNIOE35euHorAl8GaK24ouqU4YEdtTXHm4s5WCM3PHzIxGS1XS48t1O47/x5EkSZImtm4ECadT3G70WoorBH8HdgbuAH5Qk/bA8vXaLtRLkiRJUh0dDxIy8xcUD0x7GNiU4qFptwBHZOaKmuSvKV9/2ul6SZIkSaqvK09czswzIuKbwB7AQ8AttU9VjogNgFPLjz/rRr0kSZIkra8rQQKsm7not022rwLOb/M+Y+RUktR/Ltzj4JETteCw6y9qSzmSpMmlG2MSJEmSJA2Qrl1JAIiI7SiewDwb2KBZ2sz8RlcqJUmSJGmYrgQJEfEsiqcjP2MU2QwSJEmSpB7oeJAQEU8HLqN4SFoAt1NMf7q80/uWpMmuHWMbHNcgSZNPN64knETxgLQ/UDzUzGcgSJIkSX2sG0HCXhRPV35FZl7fhf1JkiRJGoduzG60EbDUAEGSJEkaDN0IEv4MbBgRXZ1JSZIkSdLYdCNI+DowHXhxF/YlSZIkaZy6cXb/c8ALgS9FxJ2Z+esu7FOSJI2CM2FJqtaNIOEDwG+BZwFXRsQvy89LmmXKzJO7UDdJkiRJNbo1BWpSPCMBYB/guU3SR5neIEGSJEnqgW4ECd+gOOiXJEmSNAA6HiRk5qs7vQ9JkiRJ7dON2Y0kSZIkDRCDBEmSJEnDdO0BZxGxE/AO4AXAdsBGmTmtavvmwFspxi98PDPXdKtukiT1QjumHQWnHpXUfl0JEiLiCIoBzJswNMvRsMHMmflAROxPMfvRfODibtRNkiRJ0nAdv90oInYFvgXMAL5EMf3pvQ2Sn0ERRBzZ6XpJkiRJqq8bVxLeDWwEnJaZ7wGIiEa3Ev20fN27C/WSJEmSVEc3goQDKG4t+tRICTNzUUQspRizIEmSWtCusQ2SVNGN2Y22AZZk5qIW068CpnewPpIkSZKa6EaQ8DAwIyJGvGoREbOBzYH7O14rSZIkSXV143ajGyjGGDwTuGqEtMdSDFy+ptOVknrBWwIkSdIg6MaVhO9RHPh/tNnVhIjYF/g4xfiFb3WhXpIkSZLq6EaQ8GXgf4F9gV9GxLHABgARsXtEHB0R36WY2WgT4FfAOV2olyRJkqQ6On67UWauioiDgB8Cz6K47ajif6veB3A18NLMHPagNUmS+o23D0qayLryxOXMvCsi9gJeDbwKeAZDMxitARYAZwJfy8zV3aiTJKk1HgyrVe3qK4ddf1FbypE0dl0JEgDKg/+vAl+NiKnAHIrbne4zMJAkSZL6R9eCBICq4CCB+zOz0ZOXJUmSJPVIxwcuR8ShEfGtiPgbsBK4C7gbWBkRCyPi7IjwWrYkSZLUJzp2JSEitgX+m2KwMhQDk2ttBxwDHBMRVwFHZeZdnaqTJEmSpJF1JEiIiC2B3wBzKYKDu4HLgD8Ai8tks4EnAgcAWwN7Ab+OiKdnpk9cliRJPeVAbE1mnbqS8AXgMcBy4F3AVzJzVb2EEbEBcALwSWB74PPAyztUL0mSJEkjaHuQEBE7AkdSTG36ksy8pFn6Mnj4vxHxZ+BHwNER8b7MXNjuukmSpP7XjjP4nr2XxqcTA5ePobjF6NyRAoRqmXkxcG6Z95jR7DAito+It0fEBRHxt4hYERFLIuL3EfGJcnyEJEmSpBZ04najZ1JMcXrmGPJ+HfgnhgY7jygitgNuY/jA6IeAGcCTyuWEiDgyM38+hjpJkiRJk0onriTsUb5ePYa8lTx7NE013NTy9UfAUcCczJwFbAIcAvyVYpD0eRGxzRjqJEmSJE0qnbiSMBtYnpkPjTZjZj4UEcvKMlq1GHhqZv6+pqyVwEURcQhwHTATeD3w4dHWS5IkDZZ2zUwkTVaduJIwk+J2n7FaUpbRksx8sDZAqNl+I0NXKJ4+jnpJkiRJk0IngoRpFGMSxmPqyElG5b4OlStJkiRNOJ0IEvpKREwD9i4/Xt/LukiSJEmDoFMPU5sTEZeNNW9bawJvArYB1gLfaHPZkiRJ0oTTqSBhOrDfOPKP93YlACLiScDHy4+fz8wbGqQ7geKpz2y//fbt2LUkSZI0sDoRJJzVgTJHrXyA2nkUU6FeA7y3UdrMPAM4A2DevHltCVAkSZKkQdX2ICEzj293maMVEXOAS4CdgFuAQzNzeW9rJUmSJA2GTt1u1DMRMQu4mOKBbH8Dnp+Zd/e2VpIkabJqxzMbDrv+ojbURGrdhJrdKCJmAD8G5gF3UQQIf+ttrSRJkqTBMmGChIjYGLgA2IviuQjPz8xbelsrSZIkafBMiCAhIqYDPwD2Bx4ADmw0k5EkSZKk5gY+SIiIqcC3gYOAJcDBmXltb2slSZIkDa6JMHB5b+DI8v0GwHkR0Sjt3zPzGV2plSRJkjSgJkKQUH01ZKNyacRpUCVJkqQRDHyQkJmXAw0vHUiSJEkanYEfkyBJkiSpvQwSJEmSJA1jkCBJkiRpmIEfkyB1y4V7HNzrKkiSJHWFVxIkSZIkDWOQIEmSJGkYgwRJkiRJwxgkSJIkSRrGIEGSJEnSMAYJkiRJkoYxSJAkSZI0jM9JkCRJmiTa8cyfw66/qA01Ub/zSoIkSZKkYQwSJEmSJA1jkCBJkiRpGMckSJIkqWWOa5gcvJIgSZIkaRivJEiSJPW5dpy9l0bDKwmSJEmShjFIkCRJkjSMQYIkSZKkYQwSJEmSJA1jkCBJkiRpGIMESZIkScMYJEiSJEkaxiBBkiRJ0jA+TE0Tng+gkSRJGh2vJEiSJEkaxisJkiRJ6qp2XeU/7PqL2lKO1meQoPX4iytJkjS5GSRMMN5/L0mSpPFyTIIkSZKkYbyS0Ee8CiBJkqR+YJCgjjHokSRJGkzebiRJkiRpmAkTJETENhHx2Yj4S0Qsj4i7I+KCiDig13WTJEmSBsmEuN0oIp4EXAZsUa56CNgSOAw4NCLen5mf6FX9JEmS1H7tuLXZKdvrG/grCRGxMfBDigDhOmCPzJwFzAY+DQRwSkQc2LtaSpIkSYNj4IME4PXADsBS4EWZeQNAZj6Ume8CzivTndKj+kmSJEkDZSIECa8oX7+dmXfU2f6p8vVpEbFrl+okSZIkDayBDhIiYjPg6eXHixskuxp4sHz/vI5XSpIkSRpwAx0kAE+gGHMAcEO9BJm5Frip/LhbNyolSZIkDbJBDxK2rXp/Z5N0lW3bNkkjSZIkicGfAnVG1ftHmqRbVr5uWm9jRJwAnFB+XBoRN9VLN4ItgXvHkE+N2abtZ5u2n23afrZp+9mm7Webtl9v2jRi5DSds0Mvd97MoAcJbflWM/MM4IxxVSRiQWbOa0d9VLBN2882bT/btP1s0/azTdvPNm0/27S/DPrtRkur3m/cJN0mddJLkiRJqmPQg4TqcQiPbpKusu0fHayLJEmSNCEMepBwI5Dl+93rJYiIKcAu5cc/drAu47pdSXXZpu1nm7afbdp+tmn72abtZ5u2n23aRyIzR07VxyJiPvAM4EuZ+YY6258NXFV+3DUzxzIoWZIkSZo0Bv1KAsC3y9dXRES9KU7fVb5eY4AgSZIkjWwiBAlfBhYCmwEXRsRuUDyNOSI+Cby0TPf+HtVPkiRJGigDHyRk5iPAi4H7gKcBN0TEg8ADwLspxiy8LzMvAYiIbSLisxHxl4hYHhF3R8QFEXHAeOoRETMj4qMR8aeIWBYR90XEzyLiZSPkuy0icoTlXc3K6LV2t2lEbBgRL4yID0TE+RFxZ1VbHDSKco6KiMvK72JZ+d18NCI2G0u9uqnf2tR+Wre8rSLi9RFxblWZD5f97PMR8bgWyoiIOCEifh0RD0TEkoi4LiLeHRHTx1Kvbuq3Nm2hj+ZIf5N7rQNtukv5e//DiLgpIu6PiJVluRdHxKuiGLvXrAz76fDyxtWm9tOW9zE1IhZUtclJI6Qf6H7alzJzQizANsBngb8Ay4F7gAuBA6rSPIniIR1ZLg8Ca8r3a4ETx7jvxwC3VpW7BFhV9fmLTfLeVqa5H7irwfKGXrdvk/q3vU2Bp1SVV7sc1GIZZ1TlWVV+J5XPfwEe3eu2G6Q2tZ/WLXNVTTsuAVZUfX4EOKZJ/g2AH1WlX0Hx4MfK5/nApr1uuwFr00q6RU366WG9brsut+mJNW26jGI68Op1vwRm2k+71qb209b28/aaNj2pSdqB7qf9uvS8Al37QYvnKNxWdpZrgd3L9TOB06o60oGjLDeAq8u8fwX2KtdvRHElo/KL87oG+St12q/XbdRHbfoUYDHwU+AU4Miqslo5oH1DmXYNxZiUDcv1e1XV98pet9+Atan9dP1yE/gFcBywTbluKrA3cB1DAeqTGuQ/laED31eVeQM4jOLKaALf6nX7DVibVva7Y6/bqI/a9EUUB7XPBmZVrd8KeA9DgdnX7Kdda1P76cj7eQzFSYLbKIKmkYKEge2n/bz0vAJd+0GHItIlwNw62/+n3H7NKMt9CUMHpE+ps/0z5fZ/ANPrbK/8su3X6zbqozadQjnzVtW6lg5ogQ2Bu8u0/1ln+1MpznQk8KJet+EgtGmZ1n66fr59mmzbqqoffr3O9m0orngm8NY621/M0Fm5ugfEtmndNIN88NWRNm1hvx9h6OBqg5pt9tM2t2m53X468n4q5RxeSRE4zQAAFOBJREFU9f/npAZpB7qf9vMy8GMSRuEV5eu3M/OOOts/Vb4+LSJ2HUO5P83M39XZXomstwGeN4pyB0FH2jQz12b5mz0Gzwe2pmjzT9cp+zqKs+kwVP9+0o9tOug61aZXNNm2CPhx+fHpdZIcSRHQPkidecEz83zgZoozYS9vtU5d1I9tOug69T9qJL8tXzcC5tRss5+OTbM2HXQdb9OIOJziBOyFmfnDFrIMej/tW5MiSIhioGrln8rFDZJdTdHBYHQH8/s1K7f8JbphDOX2tQ636XjsX75e3+APGAzVt6++jz5u04HV4za9r3ydWmdbpZ9ekZnLG+S/pAN1Grc+btOB1eM23at8XUYxlq+a/XRsmrXpwOpGm0bEDODzFFdh3tpitoHtp/1uUgQJwBMoIkgYOmAfJjPXApXnKOzWSqERsTWwZbNyS5UnPTcr9zMRsaicIeGuiPhxRLw8Ivr1n2FH2rQNKvtp5fvYKiK2bJKu2/q1TavZT1u3b/l6fZ1to+mnT4iIaJKu2/q1Tat9LyIWR8SKiLg9Iv47Ig5tYz3arattGhEblzP0nEwxdg7g/9a52mg/bdEo2rSa/XR9HwG2Az6emX9tMc8g99O+NlmChOqHrN3ZJF1lW72HsnW63KcAm1DcV/co4GDgW8DPImLzFuvTTZ1q0/Gq7KeVOlWn7wf92qbV7KctiIgXA/PKj19vUq9W6rRpufSLfm3Tas+guNqwCphL8bycCyPie306FWJX2jQiVkdEUpzhvhH4IMV92l8A/r1JveynDYyhTavZT6tExFMprh7cDHxyDPUaxH7a1yZLkDCj6v0jTdItK19b7UDtKPc8ivvptszMGZk5E9iBYizDWoozZ99rsT7d1Kk2Ha9KvVqpE/TXH4t+bVOwn7YsIuYydF/sDzPzJ03qZT9tQYttCnAWcBAwOzNnZuamFGc/K0HFURS3MvSbbrXpXRSDv6v38UXgY5m5qkm97KeNjbZNwX66nvK5El+mCJrenJkrx1CvQeynfW2yBAmdurRUXe6YBoVm5tsz8weZeV/Vur9l5ruBt5SrXhARB46jnp3Qr5frKvUaxEG6/dqm9tNWdxaxKUVAtTXFk+BfO0IW++lIOxtFm2bmqzPz4sx8oGrdjZn5GoYGVP5LmweptkNX2jQzH5OZ21AcVO1AMbnDG4A/RMS+zbJ2o35t1rdtaj+t600UV1a+l5mXjrGMQeynfW2yBAlLq95v3CTdJnXSt1ruJg1Tjb7cii9STP0FxbzM/aRTbTpelf208n1Up+8H/dqmI7GfAhGxEXA+xS0xi4AXZua9DZI/XLPfZnUaV706oF/bdCQfpjjTGEC/3ffd1d/9LPwtM98F/BvFDDzfKQeNVrOftmgUbTqSSddPI+LRwEfL9P82hnoNcj/ta5MlSKi+T+3RTdJVtv2jx+UCxR8dhqZS23k0ebugoz/7OFTq1UqdoHv1akW/tmlT9lMo7x/+PsXMGQ9QPEjopiZZRtNPl9Jf/9T6tU2bysyHGRrwPCn7aQNnUDyddluKW2Dq1ct+OjrN2rSpSdpPT6F4GNupwIMRsWn1wtAVjOlV6+rVaxD7aV+bLEHCjQxdhtq9XoLyfrhdyo9/rJemVjlvd+WsVt1yS5WR9y2VW1u1yu7GkLeTOtKmbVDZTyvfx6JxnJXshH5t01ZM2n4aEdOA71Cc9VsKHNLgmSnVRtNP/9Rnz7jo1zZtqejytZ/aE3r4u5+ZKxiaWvaxNZvtp2MwQpu2YrL10x3K149QPKStdtm+3P6+qnXVBrmf9rVJESRk5hJgQfnxBQ2SPQuYVb7/2SiK/3mzcssBd5WOO5pyKafpqszmcdto8nZah9t0PCrfx+7lJcx6KvfNd6tOLenjNm1qMvfT8h/iWRSzkjwCHJ6Zv24ha6WfPre8paaeSn374nuu6OM2HancGQz9Lb5tvOW1Uy9/98uzsluVH2vPsNpPx2CENh0pr/109Aa2n/a92kcwT9SFoUeJPwRsW2f7f5fbF4yy3JeU+dYAT66z/dPl9juB6TXbYoSy/5Whx7cf3Os27FabNthXpR0OGiHdhhQzTSRwWp3tTy6/qwQO63UbDkib2k8btAvw1TLvipHasSbvNhTTyCbFTB61219UblsLPKnXbTggbTpSP/1EVZvu1us27GKbThth+79X/f4+sWab/bT9bWo/Hf0+byvLPKnB9oHup/289LwCXftBi0E2lY52TeWXD9iMYj7eyi/0gXXyZqMOWv5Tu7rcfiuwZ7l+Q+CdDB2Qvq5O3tOBzwLPATauWr9d+YdidZn3sl63XzfbtNw+m+JBdZWlkv7omvUb1Mn7BoYCt3cCG5brn11+Rwlc2ev2G5Q2tZ82/N3/TLltFfDiMdTr1DL/MuBYYGq5/hCK2xgT+Fav229Q2hQ4F/gYxVWt6VXrdwG+UrXfr/e6/brcpjdTzED2WKoOUMt2+SzFgVMCP7Cfdr5N7aeN/0c12edtI+Ub5H7az0vPK9DVH7Y4i3xvVUd9kKGD+LXAiQ3yjXTw9RiGDj6T4n65VVWfv9gg35lVadYA95d1yqrlcmBOr9uuB216W007NFr2a5D/jKo0K8vvpPL5L8Cje912g9Km9tP125TiHtnq/nVXs6VB2RsAP6oqZznFLB2Vz/OBzXrddoPSpmUfrORfTXFP+NKafnou5UmDflw68btf8/Mvp5glalnN+ouATe2nnW9T+2nHgoSB7qf9uvS8Al3/gYvLUp+lOFBcDtwDXAgc0CTPiB2bYmT+x4A/UdxHez9wGXBUkzx7UsyJ/Cvg7+UfmeXA34AfUDxQZUqv26wXbco4g4SyjKPL7+D+8jv5E8U0a33/h6Kf2tR+WveAdscW2zKBbFL+FOD1wK8p/tEuBa4D3kPN7Yn9uPRTm1KMNfocxcHAnWV9llGcwPk2dc5s9uPS7t99ilst/otiBrI7KAKwh4FbKJ6WfkgLdbKftqlN7aedCRImQj/txyXKhpUkSZIkYJLMbiRJkiSpdQYJkiRJkoYxSJAkSZI0jEGCJEmSpGEMEiRJkiQNY5AgSZIkaRiDBEmSJEnDGCRIkiRJGsYgQdKkFRFnR0RGxAd6XZduiIiZEfFfEXFrRKwsf/Y/97pekqT+Y5AgqSci4qzyIPWPo8jzpjLP8ojYvJP1m6DOB94G7AQ8AtwNLOppjVRXRMyJiJMi4j96XRdJk5NBgqReObN8fUJEzGsxz3Hl6/mZ+UD7qzRxRcSTgf2AFcAzM3NWZm6Tmc/ubc3UwBzgQ4BBgqSeMEiQ1CuXAwvL98c1SQdAROwCPLP8eFaH6jSR7V6+/i4zf9vTmkiS+p5BgqSeyMwEvll+/OeImDZClkogcRdwcccqNnFtXL4u7WktJEkDwSBBUi9VrghsBRzcKFFEBPDK8uO3MnNN1bapEXFARJweEddGxN0RsSIi7oyIH0TEfqOtVEQ8f6RBvRHxL2WanzZJs09EnBMRt5d1ui8iLo2IfxptnWrKfXpEfLuq3EUR8ZOIeGmdtB+NiAS+Wq46oKx3ZXlOi/u8vZI+InaIiK+V65aXA6E/GREzG+TdMCJeVOb5fdkOyyNiYUR8MyKe2uJ+t4uIL0bEX8ufe0FVurnlmJWLIuLPEbEsIh4q+8SHImJWg/KHfdcRcXBE/CwiFpfLJRHxrKr0m0fEKRFxS/kz/K38vNEI7ddyX4iIK4Fbyo9Ta76vugPtI2KniPh8RNxc9bMviIj3RMQmddJPqyrvMRGxe0R8o6zfqoj4frOfR9IkkJkuLi4uPVuAXwEJnNskzf5lmgSeWLPtKVXbElhOcba8et17GpR7drn9AzXrn1+u/3OTOv1LmeandbYFcFpNHR4C1lZ9PhuYMob2eiOwpqqcxcDqqs9nVpcLvJfi6suD5fYV5efK8swW93t7mf81wL3l+yUUA6Ar+74ReFSdvC+paYuHa/KtAl4+wn5fB9xXlf9hYEFVuvNq9rG4pp1uBh5dp/x13zXw1vI7WlPVXgksA/YEtgZuKNctBVZWpTmvQf1H3RcoBpgvqtp+V83y9pp9HEXR76vru6Lq8++ArWryTKva/soyT5Y/93Lg+73+2+Di4tLbpecVcHFxmdwLcAJDB/ebN0jz9TLNtXW2PQH4LnBoeRAX5fpHUQz6XF0e9D29Tt5OBQnvLLfdDby+8nNR3PLzT8A/yu3vHmVb7VN14PtdYG65fjPgg1UHnieOpr4t7rtysP4AcBOwV7l+KnAEQwfwP66T9wCKKxn7A3Oq1u8AfI6hA/+5Tfa7pDzYfVbVtsdVvT8VeD+wK7BRuW6Dcp8LyjLOr1N+5buuHPSfDMwqt+0EXF1u/zXFwfsfgb3L7dPL/lsJ0g5sV18AHleuXz3C97InRZC1Cvg4sF3V9/Js4LdlOT+qyVcdJCwBLgN2L7cF8Nhe/D1wcXHpn6XnFXBxcZncCzCLobPKJ9TZvgnFmdcE3jaG8j9c5v1KnW1tDxIoZqV5mOJM7nqBSZlm7zLvvcC0Ufwsvyjz/YI6VyGATzJ0NnjTVuo7in1XDtaXATvV2V5pswT2HGXZZ5X5/r3Jfu+j5mz4KMrfssy/tnIQ3aDe9frIzlXbVzT42Sv1P6NdfWEUQcKvy3RvabB9C4YCkadUra8OEm6mDKxcXFxcKotjEiT1VGY+SHGGFurPcnQExZny1cB3xrCLC8rXvceQdyyOoghsrsjMa+olyMxfUczstAXQ8H78ahGxNcWVBICPZ+baOslOoTgbPhM4aJT1btV3MvOvtSsz86fA/PLjy0ZZZivf0ZmZOaZnOmTmvRQH00Fxdr2RU+rkvRW4tfz43Xo/O/Cz8nWPmvUd6QsV5Yxfe1IEImc0KP8+hgb6v6BBUadn5vLR7FvSxDfSbCKS1A1nUdx6sXdE7FwemFVUAoeLMvOeepnLgZn/CryY4vaj2az/9+3R7a1yQ3tVXiPiribp5pSv21HcEjKSygHkGuCKegkyc3FEXAc8C3ga0InBp5c32fYLimlqn1a7ISK2AN5MEbzsQhHITK1J1uw7+vVIFYuIPSlu6dkLmAvMqJOs0T4erul31e6huKJwfYPtd5evs2vWd6ov1Ja/IbAwIhql27Sq/HpGbFtJk49BgqR+cAnFLRHbAsdS3CJERGxLcT87NHg2QkTMpThwfVzV6ocpBq6upTgQ3ZL6B4ydsG35ukm5jKSVNFDMAAWwODMfaZLudoogYasmacbjjha2Ddt3RDwR+CnFmJGK6kHP0ykOsJt9R02vIkTEiRT35FeOlFdT9IGV5edZwEZN9tHsIL4ym9Y/Rti+Qc36TvWF2vKnUYzBGWv5PnVb0nq83UhSz2UxpenZ5cdjqza9kuIg/36Gbkmp9TmKAOEvFLcmzc7MTTNz68zcBqhM8dnwNGubVf6ufiozo4Xl7KalrW/Ddle4jRq18dcpAoQFwIEU4yVmZuajyu/omBHyw9CB+Po7LZ4mXQkQPgvsRnGP/Zwsniq9DcXsRyPto9063Rcq5f+2xfL/pUE5DdtW0uRlkCCpX1SuFDw2Iiq3UVQChu9m5sraDOXc9IeVH/85M8/LzAdqkrVyhrXW6vK12dz3defdZ+jWk93GsN9mKmd7N4uI2ttaqj2mJn27NbslqHJme92+I2Jn4OkUbfqizLw0Mx+uyTeW76jakRQH/z/KzLdn5p+y6lkabdrHWHSqL9SWv0tE1N66JUnjYpAgqS9k5g1AZXDnceUDtp5Yfq57qxHF2enp5fvfNUjz/DFUpxJobNPk4OsZDdZX7u/ef4SD+dG6rur9/vUSlPurjF24to37rrZvC9uq910JWu7KzEa39IzlO6pW2cd19TZGxGYUYyW6bTx9oTIwvdmVj0r5Mxm6LU+S2sIgQVI/qQQDR1M8PAvgxsyc3yD9Q1Xva2eWISIeA7xpDPW4kWLe+akMXamoLncXigeE1XMOxTShm1DM3d/QaA4cy0HblQHL742Ien+/30cRND0E/KTVskfp5RGxQ+3KiNifYiwEwLlVmx4sXx9dDl6uzfcUikHr41HZxxMbbP8g3RuTUm08faHSt6eUQc56MvN6ilu4AD5Z78nKVeVvEhHTG22XpFoGCZL6yXcoDs5nU8xSA42vIlDeWlSZDebM8t50ImJKRLyAYkBzjrYS5XSQlTEQn4uIvcoyp0bEQRQDrZc1yLsI+ED58XUR8Z2I2L2yPSI2iojnRsQXaTBLURMfoDjD/EzgWxHx6LLMzSLig8C7ynQfz8yloyy7VauAn5QzCVXa+sUMBQYXZeZvqtJfTzHgdwpwTnn7ERGxQUS8jGJ6ziXjrNOl5euLI+K9EbFxuY+tI+LTwLspnpPQVePpC+W0rZXZvI5vsps3UwzOfjJwRUQ8r3L1q/xu9oiI/6AYs7N1k3IkaRiDBEl9ozww+lH5cQrFAfFIgznfTvG05icDv4uIpRSzG10CbE7xELGxeC/FgOntgV9RHMguBS6iePDVyU1+js8AJ1EEKP8MXB8RD0fE/WXdrqCYsrXZmId65f4SeEtVubeXZS4u6xPAN4BPjabcUXonxexFv46Ihyja5DyKef5vpuaAthwb8FaK7/IA4C9V+c6lCLb+bTwVyswfAz8sP34CqLT1XWXZZ9C5Kysj1W08feGr5etnI2JJRNxWLm+uKv83FGMyllCM/fgZsCwi7qX4vfgDxWxh2zCGgFnS5GWQIKnfVF85uCwzb2+WODOvopgv/nyKg+VpFAeHXwKeQuO57ZvKzD9TPKjquxRBwVTg78BHKGZManqmPjM/TDE+4KvAnykO4GdQnFW/iOLAcK+GBTQu9wsU4yG+W5a1KcUYikuAIzPzVQ0etNYuN1EcjH6d4sB0KvBXisDkGZl5d22GzPw+xbiDn5V5NgBuK/M8FbizDfV6GfB+hm4VA7gSODYzX98wVxeMoy98iOIWsj9QtPMO5bJ5TfkXAo+nmOHpOorgYHOKW5Z+RXG71a6Z2Wz6WkkaJjI9sSBJai4ibqd4QNlzM/PKXtdHktRZXkmQJEmSNIxBgiRJkqRhDBIkSZIkDWOQIEmSJGkYBy5LkiRJGsYrCZIkSZKGMUiQJEmSNIxBgiRJkqRhDBIkSZIkDWOQIEmSJGkYgwRJkiRJw/x/bFOy84pIyRkAAAAASUVORK5CYII=\n",
"text/plain": [
"<Figure size 864x576 with 2 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"plt.subplot(211)\n",
"\n",
"plt.hist(beta_samples,histtype='stepfilled',\n",
" bins=35, alpha=.85, color='#7A68A6', density=True,\n",
" label=r'posterior of $ \\beta $')\n",
"plt.title(r'Posterior distribution of the model parameters $\\alpha$, $\\beta$')\n",
"plt.legend()\n",
"\n",
"plt.subplot(212)\n",
"plt.hist(alpha_samples,histtype='stepfilled',\n",
" bins=35, alpha=.85, color='#A60628', density=True,\n",
" label=r'posterior of $ \\alpha $')\n",
"plt.xlabel('Value of parameter')\n",
"plt.ylabel('Density')\n",
"plt.legend()\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Visualization of expected temperature"
]
},
{
"cell_type": "code",
"execution_count": 84,
"metadata": {},
"outputs": [],
"source": [
"t = np.linspace(temperature.min()-5,\n",
" temperature.max()+5, 50)[:,None]#.reshape(-1,)\n",
"def logistic(x, b, a):\n",
" return 1.0 / (1. + np.exp(np.dot(x, b) + a))\n",
"\n",
"\n",
"p_t = np.array([logistic(t.T, b, a).reshape(-1,)for a,b in zip(beta_samples, alpha_samples)])\n",
"mean_prob_t = p_t.mean(axis=0)"
]
},
{
"cell_type": "code",
"execution_count": 86,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 864x576 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"plt.plot(t, mean_prob_t, lw=3,\n",
" label=\"average posterior \\n\"\n",
" \"probability of defect\")\n",
"plt.plot(t, p_t[0, :], ls=\"--\",\n",
" label=\"realization from posterior\")\n",
"plt.plot(t, p_t[-2, :], ls='--',\n",
" label='realizatoin from posterior')\n",
"plt.scatter(temperature, D, color='k', s=50, alpha=.5)\n",
"plt.title('Posterior expected value of the probability of defect, '\n",
" 'including two realizations')\n",
"plt.legend(loc='lower left')\n",
"plt.ylim(-.1, 1.1)\n",
"plt.xlim(t.min(),t.max())\n",
"plt.ylabel('Probability')\n",
"plt.xlabel('Temperature')\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Visualization of 95% credible interval"
]
},
{
"cell_type": "code",
"execution_count": 121,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 864x576 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"from scipy.stats.mstats import mquantiles\n",
"\n",
"qs = mquantiles(p_t, [0.01, 0.99], axis=0)\n",
"plt.fill_between(t[:,0], *qs,alpha=.3)# , color=\"#7A68A6\"\n",
"\n",
"\n",
"qs = mquantiles(p_t, [0.025, 0.975], axis=0)\n",
"plt.fill_between(t[:,0], *qs,alpha=.7, color=\"#7A68A6\")\n",
"\n",
"plt.plot(t[:,0], qs[0], label='95% CI', color='#7A68A6', alpha=.7)\n",
"plt.plot(t, mean_prob_t, lw=1, ls='--', color='k',\n",
" label='average posterior \\n'\n",
" 'probability of defect')\n",
"plt.xlim(t.min(), t.max())\n",
"plt.ylim(-.02, 1.02)\n",
"plt.legend(loc='lower left')\n",
"plt.scatter(temperature, D, color='k', s=50, alpha=.5)\n",
"plt.xlabel(r'Temperature, $t$')\n",
"plt.ylabel('Probability estimate')\n",
"plt.title(r'Posterior probability of estimats, '\n",
" 'given temperature $t$')\n",
"plt.show()\n"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Check goodness of fit"
]
},
{
"cell_type": "code",
"execution_count": 122,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
" [-----------------100%-----------------] 10000 of 10000 complete in 3.4 sec"
]
}
],
"source": [
"simulated = pm.Bernoulli('bernoulli_sim', p)\n",
"N=10000\n",
"\n",
"mcmc = pm.MCMC([simulated, alpha, beta, observed])\n",
"mcmc.sample(N)"
]
},
{
"cell_type": "code",
"execution_count": 123,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Data shape: (10000, 23)\n"
]
}
],
"source": [
"\n",
"simulations = mcmc.trace('bernoulli_sim')[:].astype(int)\n",
"print('Data shape: {}'.format(simulations.shape))"
]
},
{
"cell_type": "code",
"execution_count": 126,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 864x576 with 4 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"plt.title('Simulated datasets using posterior parameters')\n",
"\n",
"for i in range(4):\n",
" ax = plt.subplot(4, 1, i+1)\n",
" plt.scatter(temperature, simulations[1000*i,:],\n",
" color='k', s=50, alpha=.6)"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": [
"\n"
]
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 3",
"language": "python",
"name": "python3"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.6.8"
}
},
"nbformat": 4,
"nbformat_minor": 2
}
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