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bayes-tutorial.ipynb
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{
"nbformat": 4,
"nbformat_minor": 0,
"metadata": {
"colab": {
"name": "bayes-tutorial.ipynb",
"provenance": [],
"include_colab_link": true
},
"kernelspec": {
"name": "python3",
"display_name": "Python 3"
}
},
"cells": [
{
"cell_type": "markdown",
"metadata": {
"id": "view-in-github",
"colab_type": "text"
},
"source": [
"<a href=\"https://colab.research.google.com/gist/kiwamizamurai/0418ca9c0c5e5ed0a5b48b9928a0d36d/bayes-tutorial.ipynb\" target=\"_parent\"><img src=\"https://colab.research.google.com/assets/colab-badge.svg\" alt=\"Open In Colab\"/></a>"
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "zB5eG2sjrlYe",
"colab_type": "text"
},
"source": [
"## ベイズ推定\n",
"\n",
"尤度からMAP推定までは次をみて欲しい\n",
"\n",
"- https://research.miidas.jp/2019/12/%e5%b0%a4%e5%ba%a6%e3%81%8b%e3%82%89map%e6%8e%a8%e5%ae%9a%e3%81%be%e3%81%a7/\n",
"\n",
"ここではベイズの理解をできる限り深める\n",
"\n"
]
},
{
"cell_type": "code",
"metadata": {
"id": "v3IqqJVwSOuj",
"colab_type": "code",
"colab": {}
},
"source": [
"import numpy as np\n",
"import matplotlib.pyplot as plt\n",
"import scipy.stats as stats\n",
"from pylab import rcParams\n",
"import seaborn as sns\n",
"rcParams['figure.figsize'] = 18, 10\n",
"rcParams['font.size'] = 20"
],
"execution_count": 0,
"outputs": []
},
{
"cell_type": "markdown",
"metadata": {
"id": "xewddNomtunG",
"colab_type": "text"
},
"source": [
"前回、MAP推定をやった。しかしプロットもコードも書かなかった。\n",
"\n",
"なのでMAP推定をプロットするところからはじめよう。"
]
},
{
"cell_type": "code",
"metadata": {
"id": "19BJ9paeWGGP",
"colab_type": "code",
"outputId": "14e592c0-5752-4822-c55a-07f7527c35b5",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 642
}
},
"source": [
"N=500\n",
"dist = stats.beta\n",
"data = stats.bernoulli.rvs(0.5, size=N)\n",
"heads = data.sum()\n",
"x = np.linspace(0, 1, 150)\n",
"y = dist.pdf(x, 1 + heads, 1 + N - heads)\n",
"plt.plot(x, y)\n",
"plt.fill_between(x, 0, y, color=\"#348ABD\", alpha=0.4)\n",
"plt.vlines(0.5, min(y), max(y), color=\"k\", linestyles=\"--\", lw=1)\n",
"plt.title(\"Head PDF [observe %d tosses, %d heads]\" % (N, heads))\n",
"\n",
"best_para_map = x[y.argmax()]\n",
"plt.scatter(best_para_map, 0, c='red', label='Best Parameter by MAP estimation')\n",
"plt.vlines(best_para_map, min(y), max(y), color=\"red\", linestyles=\"--\", lw=1)\n",
"plt.legend()\n",
"\n",
"print('Best parameter by MAP Estimation:', best_para_map)"
],
"execution_count": 6,
"outputs": [
{
"output_type": "stream",
"text": [
"Best parameter by MAP Estimation: 0.5100671140939598\n"
],
"name": "stdout"
},
{
"output_type": "display_data",
"data": {
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Ki4tx8OBBbNu2DS1atKhy8IJdRYiIiIiOM7m5uUhPT0eDBg3gdDoZtCAiomNG\nROB0OtGgQQOkp6cjNze3ymUycEFERER0nMnPz0dqampNV4OIiE5wqampyM/Pr3I5DFwQERERHWdK\nS0sRFxdX09UgIqITXFxcXFTGWWLggoiIiOg4xO4hRERU06L1WcTABRERERERERHVWgxcEBERERER\nEVGtxcAFEREREREREdVaDFwQERERERFVk4ULF0JEMG7cuJquCkWorp67rKwsZGVl1XQ1ooqBCyIi\nIiI6LomIz+JyuZCVlYURI0Zgw4YNx7Q+I0eOhIggOzs7onz2zZPn4nQ60bx5c1x55ZVYunRp9VS4\nDqurN5zRlp2d7b5mkpOTA05Lqapo3bq1O+3ChQsDlvntt9+6002YMCGsfduLw+FAo0aNMGDAAMyf\nP7+qT6/K7DqOHDmypqsSkR49epxwAzA7aroCRERERETVaezYse7/Dxw4gO+//x7/+c9/8P777+Ob\nb75Bhw4darB24cvMzHTfYBUUFOB///sfZs2ahdmzZ2PWrFm44ooraraCVGs5HA4UFBRg+vTpGD16\ntM/2L7/8Eps3b4bD4UBJSUnQsuxghR248Feep3r16uGvf/0rAODo0aNYs2YN5s2bh3nz5uGll17C\n7bffXslnVf06d+6MDRs2oEGDBjVdlYh8+eWXNV2FqGPggoiIiIiOa/5+df/LX/6Cl19+GS+++CIm\nT558zOtUGVlZWT7PZezYsRg/fjzuvvtuBi4ooI4dO2Lr1q2YOHGi30DDxIkT4XK50KtXr6AtIfbv\n34/33nsPp5xyCs466yy8//77WLVqFc4+++yAedLS0nyu20mTJmHUqFF44IEHcMMNNyAxMbHSz606\nJSYmom3btjVdjYi1bt26pqsQdewqQkREREQnnD59+gAA9u7d63f79OnT0bNnT6SlpSE+Ph6nnXYa\nHnvsMRQWFvqk/frrr3HppZeiefPmcLlcaNy4Mc477zw88sgj7jQigilTpgAAWrZs6W46X9V+6Lfe\neisAYMuWLe7ncuDAATzzzDPo1asXmjdvDqfTiYYNG2LQoEEBu5WICHr06IHff/8dN9xwA5o1a4bY\n2Fh3UOeXX37Bfffdh06dOqFhw4ZwuVzIzMzE6NGjsWPHDp/yPLtqLF++HP369UO9evWQnp6OIUOG\nYPv27QCAzZs3Y9iwYWjYsCESEhLQs2dPrFmzxm8dDx8+jCeeeAIdOnRAUlISkpOTcf7552P69OkV\n0o0cORI9e/YEADzyyCMVuip4d4GI5DyHOkbhWLp0KS666CLUq1cPKSkp6Nu3L5YvX14hzf3331/h\nevG2YsUKiAgGDhwY9n4dDgj6zAwAACAASURBVAeuv/56LF++3Of45uTkYM6cORgyZAgyMjKCljN1\n6lQcOXIEI0eOdLf+CdZdJJCRI0ciKSkJBQUFWL9+fVh5duzYgdtuuw2tWrWCy+VC/fr1MWjQICxb\ntswnbX5+Ph599FGcccYZSE1NRUpKClq3bo2rr74aK1asAGACmi1btgQATJkypcJ1Yp/TQF2O7K4a\nxcXFGD9+PFq3bo34+HiceuqpmDhxojvda6+9hjPPPBMJCQlo3rw5xo4di7KyMp/6Tp48GUOGDEGr\nVq2QkJCA1NRUdOnSBVOnTq2Qzu7asmjRIgAVu8P16NHDnS7QGBeFhYV48sknceaZZyIxMRGpqano\n1q0b3n33XZ+0nt1osrOzMWzYMDRo0ADx8fHo1KkTPv74Y9+TVI3Y4oKIiIiOS6u378fzn/2Mf/3p\nbKQlOmu6OlTLfPHFFwCATp06+WwbNWoUJk2ahObNm2PIkCFIS0vD//73Pzz00EP48ssv8fnnn8Ph\nMF+jP/nkEwwYMACpqakYNGgQmjVrhtzcXGzYsAGvvPKKu5vK2LFjMWfOHKxZswZ33HEH0tLSAMD9\nt7JU1f2/3ed9w4YNePDBB3HhhRdiwIABSE9Px7Zt2/Dhhx9i/vz5+Oijj9CvXz+fsnJzc3Heeech\nOTkZgwcPRkxMDBo1agQAmD17Nl577TX07NkTF1xwAZxOJ9avX4833ngDH330EZYvX45mzZr5lLls\n2TI89dRT6N69O2688UasW7cOs2fPxg8//IC5c+eia9euaNu2La677jps3boVs2fPxsUXX4zNmzcj\nOTnZXc7+/fvRq1cvrFq1Cueccw5GjRqFsrIyfPrpp7jmmmuwfv16PPbYYwCAyy+/HIC5Ge3evbvP\nDZ0tkvMczjEK5bvvvsMTTzyBiy66CLfeeis2bdqE2bNnY/Hixfjss8/QrVs3AMCYMWPw9NNPY8KE\nCRgxYoRPOa+//joA4Kabbgprv7YbbrgBTz75JCZOnIiXX37ZvX7KlCkoKirCjTfeiDfeeCNoGRMn\nTkRMTAyuu+46NG7cGI0bN8Y777yDZ599FklJSRHVx752wxmrYeXKlejTpw9yc3PRt29fDB482B1w\n6dq1Kz744ANccskl7nL79euHJUuW4Pzzz8cNN9wAh8OBHTt2YMGCBejWrRs6duyIHj16YP/+/Xjp\npZfQvn1793UDIOzuY8OGDcN3332HSy65BHFxcZg1axZGjx6NuLg4rF27FlOmTMHAgQPRu3dvfPjh\nhxg/fjwSExNx7733Vijn5ptvRrt27XDhhReiSZMm2LdvH+bNm4drr70WP//8Mx599FEA5v1i7Nix\nmDx5MrZu3VqhG1yoIGhRURH69u2LRYsWoW3btrj11ltx+PBhzJo1C1dffTVWr16Nf/7znz75tm7d\nis6dO6NVq1a49tprkZubi5kzZ+Kyyy7DF1984Q4SVjtVPWGWjh07KhERER0fxo4dG3T7E/M2aOa9\nH+uoyd8fmwrVIj/++OOx2dHUqaqZmaoi5u/Uqcdmv2ECoAB07Nix7uXOO+/Url27qojowIED9eDB\ngxXyTJo0SQHoFVdcoYcPH66wbezYsQpAX3zxRfe6wYMHKwBdvXq1z/737t1b4fGIESMUgG7ZsiWi\n57FgwQIFoN27d/fZ9tBDDykAbdWqlXvd/v37ffatqrp9+3Zt0qSJtm3b1mebfayuvfZaLS4u9tm+\nY8cOPXr0qM/6Tz/9VGNiYvSmm27yW2cAOtXruhg1apQC0PT0dH3ssccqbBs/frzPMVYtP3ZPPfVU\nhfVHjhzRvn37qojoqlWrfPYf6H0i0vOsGvoYBeJ5LP79739X2DZnzhwFoG3atNHS0lL3+gEDBigA\nXbduXYX0Bw8e1OTkZD355JO1pKQk5L63bNmiALRLly6qqtq7d29NS0ur8Jzbtm2rp5xyiqqqDh8+\nXAHoggULfMpaunSpAtA+ffq41919990KQN94442A+87MzPTZ9uabbyoATUpK8jn+3oqLi7V169bq\ncrl04cKFFbbt3LlTmzZtqo0bN3Zfn2vXrlUAevnll/uUVVpaqrm5uT51HDFihN99B7qOunfvrgC0\nU6dOmpeX517/66+/alxcnKalpWlWVpbu2LHDvS0vL0/r16+vDRo08Ll+Nm3a5LPvwsJC7dWrlzoc\njgrleO4/kMzMTJ/j/s9//lMBaP/+/Svsf/fu3ZqZmakA9Ntvv3Wvt48NAB03blyFsj755BN3WeEI\n9zMJwHINcC9f48GEY7kwcEFERHT8CPalTVV1xFvfaea9H2vmvR/rh6t3HqNa1Q7HJHAxdapqYqL5\nOmkviYm1Knhhf+n2t5x++uk6bdo0nzwdOnRQh8NR4WbEVlJSovXr19dzzz3Xvc4OXPz8888h61PV\nwEVmZqY7AHPPPfdot27dFIDGxMTo7NmzwyrrL3/5iwLQrVu3VlgPQJ1Op+7evTuiuqmqnnnmmdqy\nZUu/de7atatP+kWLFikAzcrK8rn5zs7OVgA6cuRI97qcnByNjY3VTp06+d3/6tWrFYD+7W9/89l/\noMBFpOdZtfLHyK6Ld3DCZt+Eet6Uf/zxxwpAb7vttgppX3vtNQWgjzzySFj79g5czJgxQwHolClT\nVFV18eLFFQJCwQIXdsDpnXfeca9bt26dAtDOnTsH3He9evXc1+29996r/fv3d78OX3rppZDPwQ7u\n3HPPPX63v/jiiwpA//vf/6pqeeDiT3/6U8iyqxq4+OKLL3zy9OzZUwHom2++6bNt5MiRCkCzs7ND\n1k1V9f33369wvrz3H4i/wEWbNm1URHTDhg0+6d944w0FoNdff717nWfgyV+QrEWLFlq/fv2wnkc0\nAhfsKkJERETHpQ2/HcTADYvxXeeL8Y85P6DbHxogLYFdRqLmwQeBw4crrjt82KwfPrxm6hSA+T5s\n2H3q77vvPgwfPhzr16/H448/DsCMobBmzRo0aNAAL774ot+yXC5XhWlUhw8fjtmzZ+OPf/wjrr76\navTs2RNdunRB8+bNo/48tm7d6h43w+FwoGHDhhg8eDDuvvtuXHDBBRXSfvvtt3jppZewdOlS7Nmz\nB0VFRRW279y5Ey1atKiwLisrCyeddJLffasqpk2bhsmTJ2PNmjXIy8tDaWmpe7vT6f+15a8rTtOm\nTQGY5vixsbEVttndTTzHzVi2bBlKS0sDTm9aXFwMAGFPb1uZ82wLdoxC6datG2JifIcY7NGjBxYt\nWoRVq1ahe/fuAID+/fujZcuWePvtt/HUU0+5B6+cMGECHA4HbrjhhkrV4YorrkCDBg0wceJEXHfd\ndZgwYQLi4uJCTgd68OBBzJw5E2lpaRUGgT3jjDPQsWNHfP/991i7di3OOussn7wHDhxwX7exsbHI\nyMhA//79cdttt7m7dwRjj8uydetWv+d/48aNAMz5v+SSS3D66aejQ4cOmD59OrZu3YrLLrsMXbt2\nRadOnQJep5UV7Pru2LGjzzbP6zszM9O9ftu2bXjqqafw5ZdfYtu2bThy5EiFfDt37qxSPfPz87Fp\n0yY0a9bM72CjvXr1AgCsWrXKZ5u/1ykAnHzyycd0KuawAxciMhRAdwAdALQHkAJgmqr+2U/ayQB8\nO2RV9JWq9g5jv1kAtgRJMlNVh4Uqh4iIiI4vTZo0Cbgtt6AIu/MLcdrBXWhzfiZe+uwX3DtrHV6/\n1veLJFXStm2Rra8lkpKS0LlzZ8yePRvNmzfH008/jZtuugknn3wy8vLyoKrYu3dvhYE1gxk8eDA+\n/vhjPPfcc3jrrbfc4w907NgRTzzxBC6++OKo1b179+4+g0v688EHH2Do0KGIj4/HxRdfjNatWyMp\nKQkxMTFYuHAhFi1a5HfwycaNGwcs86677sKLL76IJk2aoG/fvmjWrBkSEhIAwN3f3p969er5rLPH\njQi2zQ5GAMC+ffsAmACGv4EYbYcOHQq4zVNlzrMt2DEKJdBYGHaZBw4ccK+LiYnBmDFjcN9992Hm\nzJm4/vrrsWLFCqxcuRKXX365++Y4Uk6nE9dddx2ef/55LF26FLNmzcKgQYNCBmOmTZuGgoICjBkz\nBvHx8RW2jRw5EitWrMCECRMqjJ1hy8zMRHZ2dqXqC5Sf//feey9oOvv8x8bG4quvvsL48eMxa9Ys\n93gSKSkpGDFiBJ544okK46dURTSu782bN6Nz587Iy8tDt27d0KdPH9SrVw+xsbHIzs7GlClT/L5e\nI2FfW4E+N+31+/fv99kWaBweh8Phd6DR6hJJi4t/wAQsDgHYASDYvDBzAGQH2HYtgFYAAs+z498a\nq1xvP0RYDhERER0Hfvvtt4Dbftp1EACw9S/34Lz6ibjw1Ib4dP3v+HT97+jbrvI3HuShRQvA382q\n16/4tVVaWhpOPfVUrFy5EitXrsTJJ5/svtE4++yzsXLlyrDLGjBgAAYMGICCggJ89913+Pjjj/Hq\nq69i4MCBWLVqFU4//fTqehp+PfTQQ3A6nVi+fDlOO+20CtvGjBnjnpHAW6BBEvfs2YN//etfOOOM\nM7BkyRKkpKRU2O49q0e02eflzjvvxPPPPx+18iI9z0B4A0kGsnv3br/rf//99wr1so0aNQpjx47F\n66+/juuvv94dFBszZkyl6wAAN954I55//nlcddVVOHr0qN/pUb3ZM2W8/vrr7np4mzZtGp555hl3\nQCta7OMyd+5cDBo0KKw86enpeOGFF/DCCy9g06ZNWLRoEV5//XW8/PLL2L9/P95+++2o1rEqnn/+\neezbtw+TJk3yafkyffr0gLPLRMI+hva15m3Xrl0V0tVGkQQu7oQJWGyCaXmxIFBCVZ0DP0EGEUkD\n8HcARQAmR1JRAKtVdVyEeYiIiOg4NW7cOL/NhgHgRytw0fe/b+PA7X9F/7OaYN2OA7hv9jpc0Lo+\nUuLjjmFNj1OPPw6MHl2xu0hiollfR+Tl5QGA+1fD5ORktGvXDuvXr0dubm7IqSG9JSUloVevXujV\nqxfS09Px8MMPY/78+e7Ahd3c2rOLRXXYtGkT2rVr5xO0KCsrwzfffBNxeZs3b0ZZWRn69OnjE7TY\nsWMHNm/eXKX6htK5c2fExMTg66+/DjtPsGNd1fNcWd988w3Kysp8uovYrWjOPvvsCusbNmyIoUOH\nYtq0afj2228xffp0tGzZ0j2Vb2W1bdsW3bp1w9dff42srKyQrYKWL1+OVatWoWnTpujfv7/fNMuW\nLcPatWvx7rvv+p0JpSrOO+88AGba4XADF57atGmDNm3a4JprrsFJJ52EuXPnurcdq9dkMJs2bQIA\nDBkyxGdboCCjZ739dePwZk8Hu3nzZmzcuBGnnHJKhe0LFphb+3POOSeiuh9Lvp2sAlDVBaq6UT07\nCUbuWgAJAGarak4VyiEiIqITXLAm3j/9no+UeAd6v/UsAMDpiME157dAXkERHvhg3bGq4vFt+HBg\nwgQgMxMQMX8nTKh141sEMmfOHGzZsgVxcXEVxoe46667UFRUhFGjRvltNp2Xl1fhV/rFixejpKTE\nJ53967o9NgEA1K9fH4Dpz16dsrKysHHjxgqtklQV48aNw48//lip8gBz4+15g3fo0CHceOONfp9/\nNJ100kkYPnw4li9fjkcffdTvTeavv/6KLVvKe5eHOtaRnudo2LhxI1555ZUK6+bOnYtFixahTZs2\n7ulQPd18880AgKuvvtp9vP2NkxGpCRMm4IMPPsDs2bNDtiKZMGECAOCOO+7AG2+84XexW8LYaaPp\nsssuQ+vWrfF///d/mDdvnt80S5cuxWEriLplyxa/wbS8vDwUFhZWaBGSnp4OEan212Qw9uvLuxvY\np59+GnB62sq8l4waNQqqir/97W8VXkM5OTnu6VZHjRoVQc2PrWM9OOeN1t/KXNFNRWQMgPoA9gFY\nqqpro1YzIiIiOm5s2HUQDVNcFda1apiMLqfUx0drduGKs/egV9vKDbBHHoYPrxOBCs+WOQUFBfjx\nxx8xf77ptfzPf/6zwtgDo0aNwooVK/DKK6+gdevW6Nu3L1q0aIHc3Fxs2bIFixcvxvXXX4/XXnsN\nAHD77bdj586d6NKlC7KysuB0OrFixQp89dVXyMzMxLBh5UOx9e7dG8888wxuvPFGDBkyBCkpKUhL\nS8Ntt90W1ed755134qabbsLZZ5+NIUOGIC4uDt9++y1+/PFHXHrppfjoo48iKq9x48YYNmwYZsyY\ngQ4dOqBPnz44cOAAPv/8c8THx6NDhw5YvXp1VJ+Dt5dffhkbN27Eww8/jLfffhtdu3ZFo0aN8Ntv\nv2HDhg1YtmyZu0UCAJx66qlo1qwZZsyYgbi4OGRmZkJEcO211yIzMzPi8xwN/fr1w91334358+ej\nffv22LRpE2bPno34+Hi89dZbfgMSXbp0Qfv27bFmzRrExcVF7caybdu2fgdp9Hbo0CFMnz4dcXFx\nQVtS9OrVC61atcKSJUuwfv16tGvXLir1BIC4uDjMnj0bffv2xYABA3DBBRegQ4cOSExMxPbt27Fs\n2TJs3rwZu3btQmJiItasWYPBgwfj3HPPxWmnnYamTZti7969mDt3LoqLi91jXgCm9c0f//hHfP31\n1xg+fDj+8Ic/IDY2FoMGDfI70Gh1uOWWWzBp0iRceeWVGDp0KJo2bYoffvgBn3zyCa666irMnDnT\nJ0/v3r3x3nvvYfDgwbjkkkuQkJCAzMxMXHvttQH3c88992D+/PmYO3cu2rdvj0suuQSHDx/Ge++9\nhz179uDvf/87unbtWp1PtWoCTTcSbAHQA2YKm6kR5DnfyvNzhPvKQuCprBYAaBEi/2gAywEsb9Gi\nRVjTsBAREVHthwBTwRWXlGqbB/6rV76+RBXQ91fvcC/Tl2/TDo98qh0f/UwPFxb7zX88OCbTodYB\n/r4/xsbGauPGjXXQoEH62WefBcz70Ucf6YABA7Rhw4YaFxenjRo10nPPPVcffPDBCtMJzpw5U4cN\nG6Zt2rTRpKQkTUlJ0Xbt2ukDDzyge/bs8Sn3ueee07Zt26rT6XRPNRiKPSVj9+7dw37ukyZN0vbt\n22tiYqLWr19fL7/8cl27dq2OHTvW73SXocovKCjQBx54QFu3bq0ul0ubN2+ut9xyi+bk5PidmjHY\ndKShpqAMVJfCwkL997//reeff76mpqaq0+nUk08+WXv16qUvvPCC5uTkVEj//fffa69evTQ1NVVF\nxO/zDvc8h3OMAvE8FkuWLNHevXtrSkqKJicn68UXX6zff/990Pz2dJ9Dhw6NeN/e06GG4j0d6oQJ\nExSAXnHFFSHzPv744wpAb7/99gr7DucaD8fu3bv13nvv1Xbt2mlCQoImJSVpmzZtdMiQIfr2229r\ncbF5T9++fbvef//9esEFF2ijRo3U6XRqs2bNtF+/fjpv3jyfcjdu3KgDBw7UjIwM93UyadIkVQ09\nHao/waY9DvT6+/bbb7Vnz56alpamycnJ2qVLF/3ggw8C7r+kpETvv/9+bdmypTocDp9r0990qKqq\nR44c0ccff1zbtWun8fHx7n15TnFrC/U6DTUlq6doTIcqWomeHyLSwwoa+J1VJECeSQBGAvibqj4b\nwb5OAnAbzJgZdpufswCMA9ATZsyNDqpaEKqsTp066fLly8PdNREREdViK1as8Dvd3C+789HnhcUY\n2L4JBmM39p9e8Veztdv3Y/I32Xj+6vYYfHb0p6ysDTZs2OAzvgER1U0jR47ElClT8MUXX6B375CT\nMhLVOuF+JonIClX1nWMWEYxxURUiUg/AVajEoJyqukdVH1bVlaq631oWA+gD4DsAbQBUbiJjIiIi\nOu5ssAbmbJjq8ru9Wbrp3/zrnvCmTiQiqinbt2/HjBkzcNppp6FXr141XR2iGnNMAhcA/gwgEVEc\nlFNVSwDYo5VcGI0yiYiIqO7o1MnvjzLYsCsfsTGCJmkJ6HXNJT7b6yXEQQBszT1SzTUkIqqcd955\nB+PGjcPFF1+MwsJCPProo1WaipWorjtWg3Pag3L6n/S38vZaf5OiXC4RERHVUfbAnMku/19zHLEx\nSElwYNcBBi6IqHaaMGECFi9ejJNPPhkvvPCC36kyiU4k1R64EJE/AmgP4BdVXRjl4s+z/lbv5NFE\nRERUZ/y06yAapLrgcgRuWJqR5EROfuExrBURUfi8p8YkOtEdi64io62/QadAFZF6ItJWRJp4rT9H\nRHzqKSK9AdxpPZwalZoSERFRnTF27FifdbkFRdidX4iTUl0QEWwYc6efnEBGkgt5h4tQXFpW3dUk\nIiKiKgq7xYWIXA7gcuthY+vv+SIy2fo/R1Xv8cqTCuBqAIUApoTYxRUAJlnpRnqsfx7AKSKyBMAO\na91ZAOzRaR5S1SXhPg8iIiI6PowbN85nXfnAnPHm8c13+82bkexE/rYSHDhajAZJ/gfxJCIiotoh\nkq4iHQCM8FrXyloAYCuAe7y2D4cZf2JGFQblfBsmqHEugP4A4gDsBvAugJdV9etKlktERER1WNOm\nTfHbb79VWGcHLprUM4GL/hd3xPzPV/jkTU90QhXYtq/guA1cqCoH8yMiohqlqlEpJ+zAhaqOAzAu\nksJV9VUAr4aZdjL8TJWqqm8CeDOS/RIREdHxb9euXT7rNuzKR2q8A/WTTTAiYe9uv3kzkuIAANn7\nDuOcFhnVV8kaEhsbi+LiYjidzpquChERncCKi4sRGxtb5XKO1XSoRERERNXup98PokGKCwlxwb8k\npSeZG/qt+wqORbWOuZSUFBw8eLCmq0FERCe4gwcPIiUlpcrlMHBBREREddI555xT4XFxaRl+2Z2P\nBikuxMaYLhJ5p53pN687cJF7fE6JmpGRgby8POTk5KCoqChqTXWJiIhCUVUUFRUhJycHeXl5yMio\nesvGap8OlYiIiKg6rFhRceyKzXsLUFyqOCm1fMyKBdPn+80bFxuDZJcDu/Yfn4ELl8uFFi1aIDc3\nF9nZ2SgtLa3pKhER0QkkNjYWKSkpaNGiBVyuqo8lxcAFERER1UmjR4/GhAnls63/9HvFGUUA4Ozx\nf8eqh5/2mz89yYk9+YXVW8ka5HK50KRJEzRp0iR0YiIiolqMXUWIiIioTpo4cWKFxz/uOghHjLhn\nFAGAlrPfCZi/frITeQVFKCkrq7Y6EhERUdUxcEFERETHhQ278tEw1YVkV3gNStOTnMg/WoJDR0uq\nuWZERERUFQxcEBER0XHhp10HkZHkhMsR3tebjCQnSssU2/OOz3EuiIiIjhcMXBAREVGdtHPnTvf/\n+w4VYk9+IU5KjYeIuNfP+2x5wPz2zCLZx+mUqERERMcLBi6IiIioTvKcVeSn3/MBoMKMIgCQtmFd\nwPwZSXEAGLggIiKq7Ri4ICIiojpp0KBB7v837DIzijT2GJgTAC644/qA+dMTTYuLbbmHq6F2RERE\nFC0MXBAREVGd9+Oug0hNcKB+cvhzxbviYpHojMVOjnFBRERUqzFwQURERHXeT7vy0SDZhYS42Ijy\npSc6sSe/sJpqRURERNHAwAURERHVSa+//joAoLi0DBv35KNhiguxMVIhzcp/PBm0jIxkJ/IKilBa\nptVWTyIiIqoaBi6IiIioTho9ejQAYPPeAhSXqs/AnACQPfTPQcvISHLiwOFiHC4qqZY6EhERUdUx\ncEFERER1kj3tqT0wZ4PUeJ80gzs0D1pGepITJWWKnfs5zgUREVFtxcAFERER1Wm/7M5HbIygST3f\nwEUoGUlmZpHsHE6JSkREVFsxcEFERER12u6DhUiJdyDJ5Yg4b7oduNjHKVGJiIhqKwYuiIiIqE4a\nOHAgACDnUCESnbFweA3MCQC7LrwoaBkZSXEAgOx9bHFBRERUWzFwQURERHXSRx99BMAELuIDBC6W\n/mty0DISnA64HDH4jWNcEBER1VoMXBAREVGddOmllwIA9uYXIsnpcA/W6en820eGLCc9yYnd+YXR\nrh4RERFFCQMXREREVCd9/PHHKCtT5BYUBRzfosniL0KWk5HkRO6hIpSpRruKREREFAUMXBAREVGd\ndeBIMUrKFEmu2EqXkZHsxIEjxThcVBLFmhEREVG0MHBBREREdVbOIdPFozIzitgyEp0oKinD7oPs\nLkJERFQbMXBBREREdZKqYq8VuEhw+m9xMXv1jpDlpCebKVG35HBmESIiotqIgQsiIiKqkyZMmICc\nQ0UAgOR4/y0usmZNDVlORqIJXGzddzh6lSMiIqKoYeCCiIiI6qQxY8Ygx5oNJDUhzm+acx67L2Q5\n6UkmcJG9jy0uiIiIaiMGLoiIiKjOyjlUiNgYQUqAFhfhSHLFIi5WsDPvSBRrRkRERNHCwAURERHV\nWTmHCpHscsAZW/lZRUQEaYlO/H7waBRrRkRERNHCwAURERHVSR9++CFyDhUh0Wox4c+SlyaFVVb9\nZCf2FRRBVaNZRSIiIooCBi6IiIioTurYsSNy8guREBcLR4z/wMX+084Mq6yMJCcOHC7CkeLSaFaR\niIiIooCBCyIiIqqTmjVrhj35hUh0OSDiP3BxSZ9OYZWVnuTE0eIy5FjTqxIREVHtwcAFERER1Vn7\nCgqR5Kr8wJy2DGtmkS05nBKViIiotmHggoiIiOqkGFcSiksVSc7KD8xps6dE3copUYmIiGodBi6I\niIioTho2cjQAM51pIFsGXxNWWXaLi2wGLoiIiGodBi6IiIioTvrL3x8EACQ6A3cVWfXw02GVlRzv\nQGyMYHvekajUjYiIiKKHgQsiIiKqk2647U4AQFJ84MBFzz/1D6usGBGkJcZh94GjUakbERERRQ8D\nF0RERFQnbdudBwBITYgLmCZ9w7qwy8tIciLnUCFUtcp1IyIiouhh4IKIiIjqpNikNMQIkBqkxUUk\nMpKdOHCkGIUlZVEpj4iIiKKDgQsiIiKqk5IbNkWSywGnI/DXmSMNG4VdXkaiEwWFpcgtKIpG9YiI\niChKGLggIiKiOqnvkuYZegAAIABJREFUoKFIcjngiAn8dWb+5yvCLs+eEjU7hzOLEBER1SYMXBAR\nEVGdtPqnzUhwxiIuVgKmOe3V58Iuzz0lai4DF0RERLUJAxdERERUJ/2+vwCJzliIBAlcvP5C2OXV\nSzSDfHJKVCIiotqFgQsiIiKqc1QVMYlpSHJFZ2BOAO6y9h0qjFqZREREVHUMXBAREVGdc6iwBDFx\nLiQ6oxe4cDliEBsjyDtcHLUyiYiIqOoYuCAiIqI6J+eQmfkjyRUbNN1X78wLu0wRQaIzFgcYuCAi\nIqpVGLggIiKiOifH6s6RGMWuIgCQ7HLg4FEGLoiIiGoTBi6IiIiozsnJN4GLUC0uel1zSUTlJsc7\nkH+0pNL1IiIiouhj4IKIiIjqHLvFRb2EuKiWm+Ry4HBRKYpLy6JaLhEREVUeAxdERERU5+w9VAQt\nK0VqNQQujhSVoLCEgQsiIqLagoELIiIiqnNyDhUiDqVwOYJ/ldkw5s6Iyk1yxeJocRkOF7G7CBER\nUW3BwAURERHVOTn5haiflgJHTIjAxc13R1RukjXY5z5r1hIiIiKqeQxcEBERUZ2zN78QOzashCNW\ngqbrf3HHiMpNtgIXe6wxNIiIiKjmMXBBREREdc7eQ4Uo3L8HMRI8cJGwd3dE5bpbXOQzcEFERFRb\nMHBBREREdU7OoUKUFeyPern29Ko5BQxcEBER1RZhBy5EZKiI/FtEvhaRgyKiIjI1QNosa3ugZUak\nFRWRC0RknojkisgREVkrIn8VkeATuBMREdFxpaCwBEeLy5Cc6AqZNu+0MyMq225xsZctLoiIiGoN\nRwRp/wGgPYBDAHYAaBtGnjUA5vhZ/0ME+4WIXAbgfQBHAcwEkAvgUgAvAOgC4MpIyiMiIqK6K8ca\nf2Lg8P8XMu2C6fMjKjvRaXUVKeDgnERERLVFJIGLO2ECFpsAdAewIIw8q1V1XCXq5SYiqQAmAigF\n0ENVl1vrHwLwFYChIjJMVSNuxUFERER1jx24+P7Dqbjo9OCzhpw9/u9Y9fDTYZftdMTAGRuDPAYu\niIiIao2wu4qo6gJV3aiqWp0V8mMogIYAZthBC6s+R2FagQDAzce4TkRERFRD9uaboMLar+aGTNty\n9jsRl5/oisWBIyUR5yMiIqLqEUmLi8poKiJjANQHsA/AUlVdG2EZvay/n/jZthjAYQAXiIhLVdkh\nlYiI6Dhnt7goOxz9wTkBM85F/tHiaimbiIiIIlfdgYuLrcVNRBYCGKGq28Is41Tr7y/eG1S1RES2\nAGgHoBWADd5pRGQ0gNEA0KJFi7ArTkRERLWTHbgoPXygWspPdjlw8GgxVBUSYrpVIiIiqn7VNR3q\nYQCPAugIIN1a7HExegD4UkSSwiyrnvU30LcTe32av42qOkFVO6lqp4YNG4a5SyIiIqqtcg4VIskZ\ni5c+XBIy7bzPlodM4y3J5cCRolIUlZZVpnpEREQUZdUSuFDVPar6sKquVNX91rIYQB8A3wFoA+CG\n6tg3ERERHd9y8ouQ5HJg2y+hJylL27Au4vKTXLE4XFSKohIGLoiIiGqD6mpx4ZeqlgB4w3p4YZjZ\n7BYV9QJst9dXT0dXIiIiqlVyDhUi3hmL5+4KPR3qBXdcH3H5yS4HikrKcKiQA3QSERHVBsc0cGHZ\na/0Nt6vIz9bfP3hvEBEHgJYASgBsrnrViIiIqLbbe6gQic7Yais/yeVw74eIiIhqXk0ELs6z/oYb\naPjK+tvPz7YLASQCWMIZRYiIiE4MOfmF7uBCdUiKd7j3Q0RERDWvWgIXInKOiPiULSK9AdxpPZzq\nta2eiLQVkSZe2WYByAEwTEQ6eaSPB/CY9fDVqFWeiIiIaq2jxaUoKCpFksuBMf94MmT6lWGk8Vbe\n4qIo4rxEREQUfWH/XCEilwO43HrY2Pp7vohMtv7PUdV7rP+fB3CKiCwBsMNadxaAXtb/D6mq91Dg\nVwCYBGAKgJH2SlU9KCI3wgQwForIDAC5AAbBTJU6C8DMcJ8HERER1V17rVYQyS4HLhr655Dps8NI\n4y3ZZbqh5Bw6GnFeIiIiir5I2ll2ADDCa10rawGArQDswMXbMIGIcwH0BxAHYDeAdwG8rKpfR1JJ\nVZ0jIt0BPAhgCIB4AJsA3AXgX6qqkZRHREREdVOONe5EgjMWQzo0x/urdwRNP7hDc8wOkcZbktPq\nKsIWF0RERLVC2IELVR0HYFyYad8E8GYkFVHVyQAmB9n+LYBLIimTiIiIji92MMEeh6I6JFpdRfYx\ncEFERFQr1MTgnERERESVYre4SK3GwEVsjCA+LgZ5hxm4ICIiqg0YuCAiIqI6w57po15iHDpeeFHI\n9LvCSONPksuBg0eKK5WXiIiIoouBi//P3r1HS1Yddn7/7Tqn6tTj3obuVhspRpiHLauTED3osfVI\nkECIDGSicRASFgtHsEYSIg9kzAizFA1BGkXByLIs2TFGwoFEBFkKYuxkDA7CILCNMglIxGjcY4N4\nyEj9vPdW3Vvv184fVdVAd997dt06r7r9/azVq+i6v7PPbv2j07/eZ28AADA3DtU7Khc8FX1Pn/rK\nXaH57zlkjqcS+Fpr9zd1LQAAiBbFBQAAmBuH6x1VAl++Z/T5a68Mzb/dIXM8C4GveqevIft/AwCQ\nOooLAAAwNw6vdVUqePJzOT352EOh+dc5ZI6nEvhqdQfq9oebuh4AAESH4gIAAMyNQ/WOSgVPXs7E\nep9K4KnVHahDcQEAQOooLgAAwNw4XO9oIYjvRJGJSuCrP7RabbNBJwAAaaO4AAAAc6HdG2it3Ve5\n4EmSvv3US6HX3OeQOZ7KuBw5sNrZ1PUAACA6FBcAAGAuLDW6kl4uFR689+7Qa053yBzPZFXH4TrF\nBQAAaaO4AAAAc+Hw2qhEqASjFRe3f+7G0Gve6pA5nsk9lhoUFwAApI3iAgAAzIXJ6odyIZk9LiTp\n0BrFBQAAaaO4AAAAc2FSXCyW8rHfa1JcHKa4AAAgdRQXAABgLhyuj/a4OKk0KhVu/PKdodc87pA5\nnlLBk5G03ORUEQAA0kZxAQAA5sKhtY6K+ZxK41dFztp9dug1VYfM8eSMUTnwVG12N3U9AACIDsUF\nAACYC0uNriqBLz9nJEkfvXBP6DUXO2TWUyn4Wm31N309AACIBsUFAACYC9VmV6W8J98zidyvUvS1\n1uZVEQAA0kZxAQAA5sJKs6tCPifPJFNcLAS+mt2B+sNhIvcDAADHR3EBAADmQrXZUynvyYyLiwsu\nuTz0mucdMuupBL5a3YG6fYoLAADSRHEBAADmQq3ZUzHvHfn9NTfdGnrNDxwy66kEnprdvjq9wabH\nAAAAs6O4AAAAmdcfDLXW6atUeLm4+OSHLgq97jyHzHoqga+hlZZb7HMBAECaKC4AAEDmrbZHp3u8\ncsXFc3ufDr1uu0NmPZVgdOzq4bXOpscAAACzo7gAAACZV212JUmlfHKPLpPi4iDFBQAAqaK4AAAA\nmVcdv64RvGLFxfZdp4Re13LIrKcSjO51uE5xAQBAmiguAABA5tWao+Ki+Io9Lu74zpOh1z3gkFnP\nwnjFxSFWXAAAkCqKCwAAkHnV1uhVkUrBP/LdN2/7Yuh1ux0y65m8KrJU7256DAAAMDuKCwAAkHnV\n8YqLheLLxcW3bv9S6HW7HTLrCfycPGO00qS4AAAgTRQXAAAg86rNnoxe3nciCcYYlQPvyP4aAAAg\nHRQXAAAg82qtnkoFT/lcso8ulcDXGsUFAACporgAAACZV212Vcx78j1z5Ltb77k/9LqHHTIbqQS+\n1jr9mcYAAACzobgAAACZV231VMzn5OVMeDhCC4GvZmeg/mCY6H0BAMDLKC4AAEDmVZs9BXlPnnm5\nuLjh8otDrzvfIbORSuCp1RuoQ3EBAEBqKC4AAEDmVZtdFX1PxiS84qLoq90dqNkZJHpfAADwMooL\nAACQedVWT6VC8o8tlcCXlbTc4EhUAADSQnEBAAAybTi0Wm31VMz7r/r+g1dfF3rtXofMRiqF0T0P\nrnVmGgcAAGwexQUAAMi0tU5fQyuVCt6rvr/smutDr93rkNlIJRgVF4frFBcAAKSF4gIAAGRardmT\nJBXzr35s+ch7zwm99iKHzEYqwagsobgAACA9FBcAACDTqq3R/hJB/tUrLlYOHQi9tuSQ2chkxcUh\nigsAAFJDcQEAADKtOl5xUcqnszmnJC3V2ZwTAIC0UFwAAIBMq7ZGxcWkRJg4c/fZodeuOGQ2UvBz\nyntG1SbFBQAAaaG4AAAAmVYblwZHFxdf+MYDodc+4pAJUwn8I+UJAABIHsUFAADItMmrIkcXF7d9\n9obQa9/ikAlTCXytUVwAAJAaigsAAJBpK82eAj+nwH/1Y8tD990Teu0ZDpkwlcBTvTOQtXbmsQAA\nwPQoLgAAQKZVW12VCp68nEnl/gtBXs1uX70BxQUAAGmguAAAAJlWa/ZUzHvyUyouKoGnVneg7mCY\nyv0BADjRUVwAAIBMq7ZGr4ocveLiaw8+EXrt/Q6ZMJXAV6c/VL3Tn3ksAAAwPYoLAACQaSvNrooF\nT8a8urj40d6nQ6892SETZrIp6OG19sxjAQCA6VFcAACATKs2eyrlvWO+v+UTV4Ve+w6HTJhJcXGw\n3pl5LAAAMD2KCwAAkFnWWq22eioWji0uklIJRvdeqndTmwMAACcyigsAAJBZje5A/aFV0U/vkWWy\n4uIQKy4AAEgFxQUAAMisanO0yqF0nBUXV3/6ltDrv++QCbNwZI8LigsAANJAcQEAADKr2uxJkor+\nscXFhZdeEXr9Cw6ZMJMVF7wqAgBAOiguAABAZtVa4+LiOCsu3v/mU0Ovv8QhE8bLGRX8nGrt3sxj\nAQCA6VFcAACAzJqsuCinuDmnJJXyntba/VTnAADAiYriAgAAZFa1NXo9o1L0U51HOfDU6FBcAACQ\nBufiwhhzqTHm94wxf2mMWTXGWGPM3etkf8EY85vGmIeNMf9gjOkaYw4YY/7UGHPeNBM0xpw+vtd6\nv/54mvEAAMD8mKy4mGyQ+UrnnHtB6PX7HDIuygVfdYoLAABSMc0/X3xa0psk1SW9JOmNG2T/paTL\nJP2tpPslLUv6RUnvk/Q+Y8wnrLVfmXKu/5+kPznO9z+cchwAADAnaq2e8p5RKX/sqyKf+spdodd/\nzyHjolzwVGt21R8O5edYsAoAQJKmKS6u06iweFbSuyQ9skH2zyX9lrX2B6/80hjzLknfkfQFY8z/\nbq3dN8X9n7LW3jxFHgAAzLlqs6tSwZOXM8f87PPXXhlaXrz92isjKS/Kgad2b6hufyi/QHEBAECS\nnP+f11r7iLX2GWutdcjedXRpMf7+UUnflVSQ9I5pJgoAAE481WZPxfzxi4snH3so9PrXOWRclPO+\n2r2BeoPQxyAAABCxNHa6mpwlNu2Lov+eMeZqSTslLUn6nrX2byKdGQAAyJRqq6fA9+Qfp7hIUjnw\n1B9arbZ7OqmUT3UuAACcaBItLowxPyfpPZKakh6b8vL3jn+9crzvSvqwtfbHG9zzY5I+JkmnnXba\nlLcEAABpqja7KuZzMibd4qI0Po51qd7V67eXU50LAAAnmsRe0jTGBJL+N0mBpJuttSuOlzY12uzz\nHEnbx78me2y8W9JfGGMq611srf2qtXaPtXbPrl27ZvgTAACApFWbvSOlwdG+/dRLodff55BxUS6M\n/q1npdmNZDwAAOAukeLCGONJ+rqkd0r6pqTfdr3WWnvQWnuTtfb71trq+Ndjki6U9G8k/bykj8Qx\nbwAAkK5aa7THxfE8eO9xT2V/ldMdMi7K4/JkuUFxAQBA0mIvLsalxd2SPiDpW5KucNngM4y1ti/p\njvFvz511PAAAkC3t3kCd/vC4R6FK0u2fuzF0jLc6ZFxQXAAAkJ5YiwtjTF7SNyT9qqR7JF0+Lhyi\ncmj8ue6rIgAAYD5Vm6P9vIvrvCqSpJeLi07KMwEA4MQT2+acxpiCRiss/qmk/1XSVdbaYcS3edv4\n87mIxwUAACmrtkarG4p+Yltyrat0ZI+LXkgSAABELZYngfFGnP9Ko9Lij+RQWhhjTjLGvNEY87qj\nvn+rMeaYeRpj3iPpuvFvo3mBFQAAZEbYiosbv3xn6BiPO2RcjE42Ge25AQAAkuW84sIY8yuSfmX8\n29eOP99ujLlr/N+HrbX/fPzffyjpYkmHJf1E0k3HOcbsu9ba777i9/+FpDsl/S+SrnzF978j6ReM\nMY9LmmwN/h9JOn/83//CWvu4658DAADMh0lxUV6nuDhr99nhYzhkXBhjVMp7Wm1F+cYrAABwMc2r\nIm+W9OGjvjtz/EuSXpQ0KS7OGH++RtJNG4z5XYf7fl2jUuMfSbpIUl7SAY1eQ/l9a+1fOowBAADm\nTG38qshCMX/cn3/0wj2hR6JefOGeyI5ELRU8rXVYcQEAQNKciwtr7c2SbnbMvnvaiVhr75J013G+\n/yONXjcBAAAnkMmKi0oQ25ZcU6kUfDXarLgAACBp6e92BQAAcBzVVk9ezqiUz8bjSjnw1OgOFMGp\n7gAAYArZeBIAAAA4SrXZU7ngyfeO/7hywSWXh47xvEPGVbngq90bqDuI+pA0AACwEYoLAACQSbVW\nV8W8Jz93zAbfkqRrbro1dIwfOGRclQqe2r2BegNWXAAAkCSKCwAAkEnVZk9BPidvneLikx+6KHSM\n8xwyrsoFT53eUO3eILIxAQBAOIoLAACQSSvN0YqL3LFHqkuSntv7dOgY2x0yrsoFT3Y8LwAAkByK\nCwAAkEnVZk/FvJf2NI4oF0anmyw3KC4AAEgSxQUAAMikWqu34Yki23edEjpGyyHjqhyMShSKCwAA\nkkVxAQAAMqfbH6rZHWy44uKO7zwZOs4DDhlXpcJoLivNXmRjAgCAcBQXAAAgc2qtUTlQGr+ecTzf\nvO2LoePsdsi4OvKqSL0T2ZgAACAcxQUAAMicWmv0OkZxg1dFvnX7l0LH2e2QcVUer7hYYnNOAAAS\nRXEBAAAypzp+HSPws7M5J6+KAACQDooLAACQOZPiYrIhZhbkvZzyntFai+ICAIAkUVwAAIDMqY7L\ngYUNiotb77k/dJyHHTLTKBU81dr9SMcEAAAbo7gAAACZUx3vI1Ep5lOeyauVC74aFBcAACSK4gIA\nAGROrdVTzkiVwvorLm64/OLQcc53yEyjXPDU6FBcAACQJIoLAACQOdVmT6WCJ9/L1qNKOfDV6g3U\nHw7TngoAACeMbD0NAAAAaLTHRTHvyc+ZtKfyKuW8p3ZvoF7fpj0VAABOGBQXAAAgc6rNrgLfk2fW\nLy4+ePV1oePsdchMoxyMiovugBUXAAAkheICAABkTrXZUzGfU26DFReXXXN96Dh7HTLTKBU89QaW\nfS4AAEgQxQUAAMicarOr4gYbc0rSR957Tug4FzlkplEu+JKkpUYn0nEBAMD6KC4AAEDmVFs9lfIb\nFxcrhw6EjlNyyEyjPC5TlsfHtQIAgPhRXAAAgEwZDK3W2n0VQ4qLNBwpLuq9lGcCAMCJg+ICAABk\nymprVAqErbg4c/fZoWOtOGSmMXlVZJlXRQAASAzFBQAAyJTquLgIChs/pnzhGw+EjvWIQ2YapSOv\nirDiAgCApFBcAACATKmO948o+RuvuLjtszeEjvUWh8w0ysFoTiusuAAAIDEUFwAAIFMmKy5KIaeK\nPHTfPaFjneGQmcZk341ai+NQAQBICsUFAADIlNr4NYyFop/yTI6VM0alvKdai1dFAABICsUFAADI\nlMmrIpUge6eKSKOVIPUOKy4AAEgKxQUAAMiUyasilSC/Ye5rDz4ROtb9DplplQue6m2KCwAAkkJx\nAQAAMqXa7KmU95T3Nn5M+dHep0PHOtkhM61y4KnR7ctaG/nYAADgWBQXAAAgU6rNroqFnPyc2TB3\nyyeuCh3rHQ6ZaZULvtq9oXoDigsAAJJAcQEAADKl2uqp6HuhxUVaygVP7d5A3cEw7akAAHBCoLgA\nAACZUm32FOQ95bJaXAT+qLjoD9KeCgAAJwSKCwAAkCkr41dFwlz96VtCM993yEyrnPdkrbTCkagA\nACSC4gIAAGRKrdlTKe+H5i689IrQzAsOmWmVx8e0Ltc7kY8NAACORXEBAAAyYzi0Wm33VMyHP6K8\n/82nhmYucchMq1QYFxcNVlwAAJAEigsAAJAZa52+hlYq5b20p7KucmG0GmSl2U15JgAAnBgoLgAA\nQGbUmqNVDMVCdouLl1dc8KoIAABJoLgAAACZUW2NVjG4vCpyzrkXhGb2OWSmVR4XF0u8KgIAQCIo\nLgAAQGZUJysuHF4V+dRX7grNfM8hM63JqyKTuQIAgHhRXAAAgMyojo8YXQjCTxX5/LVXhmbe7pCZ\nVsHPyc8Z1TgOFQCARFBcAACAzKiNN7ysOBQXTz72UGjmdQ6ZzSgVPK1SXAAAkAiKCwAAkBmT1y8q\nxexuzimNiot6p5/2NAAAOCFQXAAAgMyotnoK/JyKfraLi0rBV4PiAgCARFBcAACAzKg2eyoVPHm5\n8EeUbz/1UmjmPofMZpQDT63eQIOhjWV8AADwMooLAACQGbVWV4Hvyc+Z0OyD994dmjndIbMZ5YKn\ndm+g3mAYy/gAAOBlFBcAACAzVpo9BfmcPIfi4vbP3RiaeatDZjPKBV/t7lBdigsAAGJHcQEAADKj\n2uyqlM/2/hbSaHPO7mCoJvtcAAAQO4oLAACQGdVmT8VC9ouL8niOS41uyjMBAGDro7gAAACZYK1V\nrdVTKe/2eHLjl+8MzTzukNmMUsGXJC03erGMDwAAXkZxAQAAMqHZHag/tCrmfaf8WbvPDs1UHTKb\nMVlxsdLsxDI+AAB4GcUFAADIhGprtHqh6Lji4qMX7gnNXOyQ2QxeFQEAIDkUFwAAIBOqzVEJMBd7\nXASTV0UoLgAAiBvFBQAAyIRac7LiYg6Ki8mrIhQXAADEzqm4MMZcaoz5PWPMXxpjVo0x1hhzd8g1\n7zDG3G+MWTbGtIwxf2OM+XVjzNRPI8aYf98Y8y1jzEFjTNsY83fGmM8YY0rTjgUAALJp8qpIxXHF\nxQWXXB6aed4hsxmTI1sncwYAAPFx2/1K+rSkN0mqS3pJ0hs3Chtj/qmkb0tqS/qmpGVJ/7mkL0l6\np6QPuE7QGPPLkh6WlJd0r6R/kHS+pJskvccY8x5rLTtjAQAw56rjFReVwO3x5Jqbbg3N/MAhsxm5\nnFExn1ON4gIAgNi5vipynaQ3SNom6ZqNgsaYbZK+Jmkg6d3W2n9mrf2kpDdL+p6kS40xv+py0/Hq\njDsllSVdaq293Fr7m5J+WaNi5J3juQEAgDlXbY1eu1gouhUXn/zQRaGZ8xwym1XKe6q3+7GNDwAA\nRpyKC2vtI9baZ6y11iF+qaRdkv7YWvvEK8Zoa7RyQwopP17hXZJ2S3rMWvt/vGKsoaQbxr/9uDHG\nOI4HAAAyqtbsKe+ZI69hhHlu79Ohme0Omc0qB77qHYoLAADiFsfmnOePP//8OD97TFJT0juMMcEs\nY1lrn5P095J+TtKZm5gnAADIkGqzp1Lek5ebj3+PKBc8NTqDtKcBAMCWF0dx8Yvjz78/+gfW2r6k\n5zXaW8OlbFh3rLFnxp9vWG8AY8zHjDFPGGOeOHTokMMtAQBAGqqtrooFT75jcbF91ymhmZZDZrPK\nBV/t3kC9wTC2ewAAgHiKi5PGn7V1fj75/uQkxrLWftVau8dau2fXrl0OtwQAAGmoNnsKfPcVF3d8\n58nQzAMOmc0qB57avYG6FBcAAMQqjuICAABgatVmT8V8Tq5bV33zti+GZnY7ZDarlB8XFz1eFwEA\nIE5xFBeTVRAnrfPzyffVhMcCAAAZVm11VXTcmFOSvnX7l0Izux0ym1UOfA2tVONkEQAAYhVHcfF3\n489j9p0wxviSzpDUl/TcLGON/cL4c709MAAAwJyoNXsqFdyLi7SVx3M9XO+mPBMAALa2OIqLh8ef\n//g4PztXUlnS49bazixjGWPO1KjQeFFuJQgAAMiodm+gdn841YqLtE2Ki5UmxQUAAHGKo7i4V9Jh\nSb9qjNkz+dIYU5T0ufFvb3vlBcaYsjHmjcaY044a61FJeyWda4x53yvyOUm/Nf7tH1prbcR/BgAA\nkKBaqydJKuXdH01uvef+0MzDDpnNmqwOWW5QXAAAECffJWSM+RVJvzL+7WvHn283xtw1/u/D1tp/\nLknW2lVjzEc1KjC+a4z5Y0nLkt6n0fGm90r65lG3+CVJj2hUVLx78qW1dmCMuUqjlRf3GmPulfRj\nSe+RtEfSX0uK7+VVAACQiGpzVFwU5+pVkdFj1ArFBQAAsXL9Z403S/rw+Nd/Ov7uzFd8d+krw9ba\nP5H0LkmPSXq/pP9WUk/Sb0j61WlWSFhr/42kfyTpTyVdKOk6jTbl/Kyk9zq+cgIAADKsOn7dYppX\nRW64/OLQzPkOmc2avCqyRHEBAECsnFZcWGtvlnTzNANba/9aktPTgrX2u5LWPfvMWvu3kj4wzf0B\nAMD8qE5eFZmrFRejuVbZ4wIAgFjFsccFAADAVGrjV0UWAqd/U8mEgp+TZ8yR/TkAAEA8KC4AAEDq\nqq3RqoXKFMXFB6++LjSz1yGzWcYYFQs5rVJcAAAQK4oLAACQumqzp5x5+fULF5ddc31oZq9DZhaV\ngq+1Tj/WewAAcKKjuAAAAKmrtnoqF3z5nvujyUfee05o5iKHzCzKgad6m+ICAIA4UVwAAIDU1Zo9\nFfOe/Ny6e3UfY+XQgdBMySEzi0rgq9kdaDB0PjANAABMieICAACkrtrqKsiPNrucJ5WCr3ZvoN5g\nmPZUAADYsiguAABA6laaPRXzOeWmWHFx5u6zw8d1yMyiHHhqdQfq9CkuAACIC8UFAABIXbXZVSnv\nvjGnJH3hGw+EZh5xyMyiXPDVH1qttTlZBACAuFBcAACA1NWaPRWnOFFEkm777A2hmbc4ZGZRCUZz\nPlzvxnofAABiub02AAAgAElEQVROZBQXAAAgVb3BUI3uQKW8P9V1D913T2jmDIfMLMqF0ZyX6p1Y\n7wMAwImM4gIAAKSq1hq9ZlHMz99jSXmy4qLBigsAAOIyf08IAABgS6k2x8XFlK+KZEFlsuKiwYoL\nAADiQnEBAABSVWuNVisUp9yc82sPPhGaud8hM4vJiotl9rgAACA2FBcAACBVkxUXpSlfFfnR3qdD\nMyc7ZGYx2eNiuUlxAQBAXCguAABAqibFRSWYbnPOWz5xVWjmHQ6ZWRT8nPKeOfJnAAAA0aO4AAAA\nqaqON+dcKE5XXGRFueBrtUVxAQBAXCguAABAqmrNroyRynO4Oac0mvdau5/2NAAA2LIoLgAAQKqq\nrZ5KeU95b7rHkqs/fUto5vsOmVmVA1+NDsUFAABxobgAAACpWmn2VCp48nPTPZZceOkVoZkXHDKz\nWgg8tXoD9QfD2O8FAMCJiOICAACkqtrsKvA9eTkz1XXvf/OpoZlLHDKzKhV8tboDdSkuAACIBcUF\nAABIVbXZUzGfm7q4yIpK4KndG6jTG6Q9FQAAtiSKCwAAkKpqs6tifj435pSkSsHX0ErLnCwCAEAs\nKC4AAECqqq3RHhfTOufcC0Iz+xwysyoHo7kvrXVivxcAACciigsAAJCawdBqrd1XMT/9I8mnvnJX\naOZ7DplZlQu+JGmp0Y39XgAAnIgoLgAAQGpWx69XbOZVkc9fe2Vo5u0OmVlVxisulpsUFwAAxIHi\nAgAApKY6Li5KmygunnzsodDM6xwys5qsuDjMqyIAAMSC4gIAAKSmOl6lEGxij4usOLLHRZ0VFwAA\nxIHiAgAApGaWFRdZMVlxsdLkVBEAAOJAcQEAAFJTG/9lf7JqYRrffuql0Mx9DplZeTmjwM+p1mLF\nBQAAcaC4AAAAqZm8KrIQ+FNf++C9d4dmTnfIRKEceFpt9xO5FwAAJxqKCwAAkJrJqyKVTRQXt3/u\nxtDMWx0yUagUfK21eVUEAIA4UFwAAIDUVJs9FfM5Fbz5fiSpBL6a3YGstWlPBQCALWe+nxIAAMBc\nq7V6KhU8eTmT9lRmUg48tboD9QYUFwAARI3iAgAApKba7Kroe/I3UVzc+OU7QzOPO2SiUCn4anUH\n6g6GidwPAIATCcUFAABITbXZU5DPbWrFxVm7zw4f3yEThXLgqdMfqtUdJHI/AABOJBQXAAAgNdVW\nT8W8J2OmLy4+euGe0MzFDpkolAujzUWXGp1E7gcAwImE4gIAAKSm2uyqVPDSnsbMKsHoz3C43k15\nJgAAbD0UFwAAIBXDoVVtvOJi3k1WXCyz4gIAgMhRXAAAgFTUu30NrTZdXFxwyeWhmecdMlEoj1dc\nLLHiAgCAyFFcAACAVNSaPUlSKb+5x5Frbro1NPMDh0wUKuMVF4fqrLgAACBqFBcAACAV1XFxEWxy\nxcUnP3RRaOY8h0wUJntcrDRZcQEAQNQoLgAAQCqqrdFf8oubXHHx3N6nQzPbHTJRCPKejKSVcRkD\nAACiQ3EBAABSMVlxUQn8lGcyu5wxKhU81VoUFwAARI3iAgAApKLamhQX+U1dv33XKaGZlkMmKpXA\n11qrn9j9AAA4UVBcAACAVNTG+0EsBJvb4+KO7zwZmnnAIROVcsFTvUNxAQBA1CguAABAKqrNngp+\nbtObc37zti+GZnY7ZKJSCXw1u30NrU3sngAAnAgoLgAAQCqqrZ5KeU9ezmzq+m/d/qXQzG6HTFQq\ngadWd6Buf5jYPQEAOBFQXAAAgFRUmz0V8578TRYXWVMu+Gr3BuoOKC4AAIgSxQUAAEhFrdVVkM9t\nesVF1pQDT72BVb3NPhcAAESJ4gIAAKRiZbziImc2V1zces/9oZmHHTJRqRRGx7oeqncSuycAACcC\nigsAAJCKarOrYn7rPIqUg1FxsURxAQBApLbO0wIAAJgb1lpVmz2VC5s7UUSSbrj84tDM+Q6ZqEz+\nLMuNbmL3BADgREBxAQAAErfa7qs/tCqNX6/YCirBqLg4XKe4AAAgShQXAAAgcZNVCbOsuMia8riE\nYcUFAADRiq24MMZcaYyxIb8GjmO9sMEY++P6MwAAgHgsN0b7QJRmKC4+ePV1oZm9DpmolANeFQEA\nIA5xrs98StJn1vnZfyLpfEkPTDFeTdLvHuf7+pTzAgAAKVsav04xS3Fx2TXXh2b2OmSiUvBy8nNG\n1RbFBQAAUYqtuLDWPqVReXEMY8z3xv/51SmGrFprb551XgAAIH0rzdFf7rcV85se4yPvPUd3fOfJ\nDTMXvfccPRCSiYoxRqWCp9VWP5H7AQBwokh8jwtjzNmS3ibpJ5L+LOn7AwCA9C2NX6dYLG7+31BW\nDh0IzZQcMlEqF3yttXuJ3hMAgK0uja28Pzb+/CNrrdMeF2OBMeYKSadJakj6G0mPTTkGAADIgOV6\nVwUvp3KwdU4VkUYni9Q7rLgAACBKiT4tGGNKkq6QNJB0x5SXv1bS14/67nljzFXW2kc3uOfHNC5L\nTjvttClvCQAA4rDc6KoSePJyZtNjnLn77NDMikMmSpXA10+rLfWHQ/k5Dm8DACAKSf8/6gclnSzp\nz621/zDFdXdKeo9G5UVF0tmSbpd0uqQHjDFvWu9Ca+1XrbV7rLV7du3atemJAwCA6Cw1uioWPPkz\nFBdf+Eb4Ht+POGSiVA48tXsDdfvDRO8LAMBWlnRxMXlN5PZpLrLWfsZa+7C19oC1tmmt/aG19uOS\nfkdSSdLNEc8TAADEaKXRVTE/W3Fx22dvCM28xSETpUrBV6s7UIfiAgCAyCRWXBhj/gNJ75D0kqT7\nIxr2D8ef50Y0HgAASMBSo6NywZMxmy8uHrrvntDMGQ6ZKJUDX0MrVZts0AkAQFSSXHGx2U05N3Jo\n/FmJaDwAAJCApUZX5YKX9jQiN/kzLTU6Kc8EAICtI5HiwhhTlPRrGm3K+UcRDv228edzEY4JAABi\n1OoO1O4NVSpsrRNFpNGpIpJ0uN5NeSYAAGwdSa24+ICk7ZIeWG9TTmNM3hjzRmPMWUd9v9sYc8yK\nCmPM6ZJ+f/zbu6OdLgAAiMtyc/SX+llXXHztwSdCM/c7ZKJUGZcxyw2KCwAAopLUP3VMXhP56gaZ\nn5W0V9KLGp0WMnGZpOuNMY+Nf7Ym6SxJ/5mkokb7Zfx2xPMFAAAxWa5HU1z8aO/T2vEzr90wc/Le\np7U/JBOl8njFxVKdV0UAAIhK7CsujDG7Jf3H2vymnI9I+tcalRWXS/oNSe+S9FeSPizpn1hr+WcN\nAADmxGT/h9KMxcUtn7gqNPMOh0yUyuMVF4dZcQEAQGRiX3Fhrd0rKXTLcGvtC8fLWWsflfRo9DMD\nAABpmLxGUQm23h4Xk1UkVYoLAAAik+SpIgAAAEeKi8VSPuWZRM/3cgr8nKotjkMFACAqFBcAACBR\ny42uckZaCGZ7VeTqT98Smvm+QyZqpYKntTbFBQAAUaG4AAAAiVpudFUJfOW92R5DLrz0itDMCw6Z\nqFUCX2vtfuL3BQBgq6K4AAAAiVpqdFUuePJzsz2GvP/Np4ZmLnHIRK1S8NToDGStTfzeAABsRRQX\nAAAgUcuNroK8J98L3bt7LpUDX61eX/0hxQUAAFGguAAAAIlabnRVKnjKma1ZXFQCX63uQJ3+MO2p\nAACwJVBcAACARC01OqoUZtuYU5LOOfeC0Mw+h0zUygVP7d5Qre4g8XsDALAVUVwAAIDE9AZDrbb6\nKhX8mcf61FfuCs18zyETtfK4lFludhO/NwAAWxHFBQAASMzK+C/z5QhWXHz+2itDM293yEStEoxK\nmaV6J/F7AwCwFVFcAACAxCw3RsVFKYLi4snHHgrNvM4hE7XyuLg4XGfFBQAAUaC4AAAAiYmyuMiq\nI6+KNFhxAQBAFCguAABAYibFxeR1iq2owooLAAAiRXEBAAASMykuFov5mcf69lMvhWbuc8hEjc05\nAQCIFsUFAABIzFJ9UlzMvuLiwXvvDs2c7pCJWik/Ki6qzV7i9wYAYCuiuAAAAIlZaXZVLngK/Nkf\nQW7/3I2hmbc6ZKKWyxmVCp5qLYoLAACiQHEBAAASs9QYFRe+Z9KeSqzKBU+rFBcAAESC4gIAACRm\nud5VMe/Jz23tR5BK4Kve7qc9DQAAtoSt/dQAAAAyZanRUbHgycvNvuLixi/fGZp53CETh8Wir3qn\nr8HQpnJ/AAC2EooLAACQmOXxqyJROGv32aGZqkMmDovFvJrdvjr9QSr3BwBgK6G4AAAAibDWqtrs\nqVKY/UQRSfrohXtCMxc7ZOKwWPTV7AzU7FJcAAAwK4oLAACQiNVWX/2hVSmiFRdZtlD0ZSUdWG2n\nPRUAAOYexQUAAEjEUqMjSSdEcbFYzEuS9lNcAAAwM4oLAACQiOVGV1J0xcUFl1wemnneIROHxeLo\ndZgDq51U7g8AwFZCcQEAABIxKS7KQTR7XFxz062hmR84ZOLwcnHBigsAAGZFcQEAABIxKS4WIyou\nPvmhi0Iz5zlk4kBxAQBAdCguAABAIpbGxcW2YjTFxXN7nw7NbHfIxKGY9+TljA7XeVUEAIBZUVwA\nAIBELDe6Kng5lSJacZFlxhgtBL6WG720pwIAwNyjuAAAAIlYaXRVCUYrEaKwfdcpoZmWQyYui0Vf\ntRbFBQAAs6K4AAAAiVhqdFUqeMpHVFzc8Z0nQzMPOGTisljytdbuaWhtanMAAGAroLgAAACJWG50\njuz9EIVv3vbF0Mxuh0xcFot5NToDdfvD1OYAAMBWQHEBAAASsVQfrbgwJpri4lu3fyk0s9shE5fF\noq9mt69mt5/aHAAA2AooLgAAQCKWG12VC17a00jMYjEva6WDa5wsAgDALCguAABA7Frdgdr9ocqF\nrX+iyMTi+NjX/asUFwAAzILiAgAAxG6pMfrLe5TFxa333B+aedghE5eFcXFxYLWV2hwAANgKKC4A\nAEDslhtdSVKpcOI8eiwW85KkA7V2yjMBAGC+nThPDwAAIDVLR4qL6Pa4uOHyi0Mz5ztk4nLkVRH2\nuAAAYCYUFwAAIHYr4+JiIcinPJPklAqeckY6vNZNeyoAAMw1igsAABC7yasii+UTZ3POnDGqBL5W\nmqy4AABgFhQXAAAgdkuNrnJGqkT4qsgHr74uNLPXIROnxaKvarOX6hwAAJh3FBcAACB2y/WuKoGv\nvBfdo8dl11wfmtnrkInTtlJea+2+rLWpzgMAgHlGcQEAAGK31OiqXPDk56J79PjIe88JzVzkkInT\nYtFXo9NXpz9MdR4AAMwzigsAABC7lWZXxbwn3zPRjXnoQGim5JCJ00Ixr2Z3oHZvkOo8AACYZxQX\nAAAgdkv1zviUjeiKi3mwWPQ1GFodqrNBJwAAm0VxAQAAYrc8flUkSmfuPjs0s+KQidNicXSKyv7V\ndqrzAABgnlFcAACAWPUGQ622+yoVoj0K9QvfeCA084hDJk6Lxbwk6UCNFRcAAGwWxQUAAIjVSrMr\nSZGvuLjtszeEZt7ikInTwpEVF61U5wEAwDyjuAAAALFaboyLiyDa4uKh++4JzZzhkInTtvGKi4Or\nrLgAAGCzKC4AAECsluuj4qKYj7a4mAflwJMxYnNOAABmQHEBAABitTRecVEJot3jYh7kjFEl8I+s\nOgEAANOjuAAAALGa/KV9slFlVL724BOhmfsdMnFbDHxVm720pwEAwNyiuAAAALGaFBfbitGuuPjR\n3qdDMyc7ZOK2WPK12u7JWpv2VAAAmEsUFwAAIFbLja7KBU8FP9rHjls+cVVo5h0OmbhtK+bV6PTV\nHQzTngoAAHOJ4gIAAMRqUlz4nkl7KqlYKPpqdgZqdQdpTwUAgLlEcQEAAGK11OiomPfk507Mx47F\nYl79odUy+1wAALApsT5BGGNeMMbYdX7tn3KsU40x/7Mx5qfGmM547N81xmyPa/4AAGB2y42uSgVP\nXi7aFRdXf/qW0Mz3HTJxWxzv7bG/1kp5JgAAzKckziWrSfrd43xfdx3AGHOWpMcl/YykP5X07yT9\nkqRPSPrHxph3WmuXIpgrAACI2FKjq1O3lyIf98JLrwjNvOCQidukuDiw2kl5JgAAzKckiouqtfbm\nGcf4A41Ki2uttb83+dIY8zuSrpP0P0j6+Iz3AAAAERsOraqNnt5wymLkY7//zafq20+9tGHmkjef\nqvtCMnFbGB8De2C1neo8AACYV5l/2XS82uJCSS9I+p+O+vF/L6kh6deMMZWEpwYAAEJUWz0NrFUp\n8NKeSmomKy72rfKqCAAAm5HEiovAGHOFpNM0Khn+RtJj1lrXrbXPG38+aK191Tli1to1Y8xfa1Rs\nvE3SX0Q0ZwAAEIH9tdEqg8lf3k9ElWD0Zz+81k15JgAAzKckniJeK+nrR333vDHmKmvtow7X/+L4\n8+/X+fkzGhUXb9BxigtjzMckfUySTjvtNKcJAwCAaExej6gE+cjHPufcC0Iz+xwycfNyRpXA01KD\n4gIAgM2I+1WROyW9R6PyoiLpbEm3Szpd0gPGmDc5jHHS+LO2zs8n3598vB9aa79qrd1jrd2za9cu\n13kDAIAI7BuvuNheib64+NRX7grNfM8hk4SFIK9qk+ICAIDNiLW4sNZ+xlr7sLX2gLW2aa39obX2\n45J+R1JJ0s1x3h8AAKRr/2pbRtLJ5ULkY3/+2itDM293yCRhW8nXaquf9jQAAJhLaW3O+Yfjz3Md\nspMVFSet8/PJ99WZZgQAACK3v9bSYtFXKR/9I8eTjz0UmnmdQyYJi8W8Gp2+uv1heBgAALxKWsXF\nofGny0kgfzf+fMM6P/+F8ed6e2AAAICU7Ku1tVD0lfcyf5BZrBaLvprdvjp9173JAQDARFpPEW8b\nfz7nkH1k/HmhMeZV8zXGLEp6p6SmpP87uukBAIAo7K+1VQl8+TmT9lRStVD01RtYLbPPBQAAU4ut\nuDDG7DbGHLOiwhhzuqTfH//27ld8nzfGvNEYc9Yr89baH0l6UKMNPf/ro4b7jEarNr5urW1ENnkA\nABCJ/attLRZ9GRN9cfHtp14KzdznkEnC5DjY/dV2yjMBAGD+xLni4jJJ+40xf2aM+QNjzG8ZY+6V\ntFfSz0u6X9JvvyL/s+OfHXOkqaT/StJBSV8xxvyJMeZ/NMY8LOk6jV4R+e9i/HMAAIBNaHT6Wmv3\ntViM/kQRSXrw3rtDM6c7ZJIw+d9g/yrFBQAA04qzuHhE0r+WdJakyyX9hqR3SforSR+W9E+stU7r\nJcerLvZIukvSL0u6fjzulyW9zVq7FPXkAQDAbCZ/SZ+sNoja7Z+7MTTzVodMEib/GxxYo7gAAGBa\n8TxJSLLWPirp0SnyL0hadx2ptfYfJF01+8wAAEASDtRGf0mvxFRczJOFyasiq52UZwIAwPw5sbf4\nBgAAsdk3Li5OKsXzqsg8mbwqcojiAgCAqVFcAACAWExeFdlRKcQy/o1fvjM087hDJglezqhU8LTc\noLgAAGBaFBcAACAW+2ttlQueykE8r4qctfvs0EzVIZOUxcDXSrOX9jQAAJg7FBcAACAW+2ptLRR9\n5b14Hjc+euGe0MzFDpmkLJZ8rbYoLgAAmBbFBQAAiMWB1ZYWAl8Fb929t08oi8W86p2+eoNh2lMB\nAGCuUFwAAIBYTFZcGENxIY2ORG12B2r3BmlPBQCAuUJxAQAAItftD7VU72oxxqNQL7jk8tDM8w6Z\npCwW8+r2h6rxuggAAFOhuAAAAJE7uNaW1cvHgMbhmptuDc38wCGTlIVxiTM5JhYAALihuAAAAJE7\nMD4KdSGmE0Uk6ZMfuig0c55DJimT1ScH1iguAACYBsUFAACI3GRVwWIpvuLiub1Ph2a2O2SSMll9\nMil1AACAG4oLAAAQuf3j4mJ7JUh5JtkxWXGxn1dFAACYCsUFAACI3P5aW3nPaFvRi+0e23edEppp\nOWSSMtnj4uBaN+WZAAAwXyguAABA5PattrWtlFfBj6+4uOM7T4ZmHnDIJCXv5VTM57Tc6KQ9FQAA\n5grFBQAAiNyBWlsLga+8F9+jxjdv+2JoZrdDJkkLga+VJsehAgAwDYoLAAAQuX21tipFX17OxHaP\nb93+pdDMbodMkraV8lqluAAAYCoUFwAAIFLDodWB1faRUzTwssViXmudvvqDYdpTAQBgblBcAACA\nSC01uuoP7ZFTNPCy7ZW81lo9Nbv9tKcCAMDcoLgAAACROrA6Ou4z7uLi1nvuD8087JBJ0vZKQf2h\n1UvVVtpTAQBgblBcAACASO2rjYqLBVZcHGNHpSBJeu5QI+WZAAAwPyguAABApPbXRqsJTi7Hu8fF\nDZdfHJo53yGTpElx8cJSM+WZAAAwPyguAABApPavtpUz0snlQtpTyZxJcfHiMisuAABwRXEBAAAi\nta/W1rZSXoHvpT2VzAnynsoFTz9ZYY8LAABcUVwAAIBIHVhtqxL4Kngm1vt88OrrQjN7HTJJ21Ep\nHNnAFAAAhKO4AAAAkdpXbWsh8OV78T5mXHbN9aGZvQ6ZpO1cKGi50VN/OEx7KgAAzAWKCwAAEBlr\nrfattrVQiv9EkY+895zQzEUOmaTtqARabfXUaPfTngoAAHOB4gIAAERmrdNXqzvQYhB/cbFy6EBo\npuSQSdqOhYIGQ6sfs88FAABOKC4AAEBk9tdGezcsFuM9CnWeTU4Wef4wJ4sAAOCC4gIAAERmUlwk\n8arImbvPDs2sOGSSNikuXliiuAAAwAXFBQAAiMykuDi5FP+Kiy9844HQzCMOmaRtnxQXrLgAAMAJ\nxQUAAIjM/vExnyeX4y8ubvvsDaGZtzhkklbwc1oIfP20xh4XAAC4oLgAAACR2VcbHYVaLsT/qshD\n990TmjnDIZOG7ZWCDq520p4GAABzgeICAABE5sBqWwtFX3mPR4yN7FwoaLnRVX8wTHsqAABkHk8V\nAAAgMvtqLVUCT3nPpD2VTNtRKWi11dNqu5/2VAAAyDyKCwAAEJn9tbYWinkZE39x8bUHnwjN3O+Q\nScOOhYKGVnpppZn2VAAAyDyKCwAAEIl2b6CVZk/bivFvzClJP9r7dGjmZIdMGiZHoj7HySIAAISi\nuAAAAJE4MD5RZLHoJXK/Wz5xVWjmHQ6ZNEyKi+cP11OeCQAA2UdxAQAAIrG/NiouFhJacTHPto+L\nixeXORIVAIAwFBcAACAS+4+suIj/KNR5l/dyWiz6+ukKxQUAAGEoLgAAQCQmKy4mr0HE7epP3xKa\n+b5DJi07KgUdXGunPQ0AADKP4gIAAERiX62top9L7FWRCy+9IjTzgkMmLTsXAq00euoNhmlPBQCA\nTKO4AAAAkTiw2tZiKa+CH/9RqJL0/jefGpq5xCGTlh2VgtbaPa22e2lPBQCATKO4AAAAkdhXa6sS\n+MrneLxwsb1S0NBKP15qpj0VAAAyjScLAAAQiX21lhYCX7lcMisu5t1kL5DnDjdSngkAANlGcQEA\nAGbWHwx1eK2rxVJyJ4qcc+4FoZl9Dpm07FgYFRcvLFFcAACwEYoLAAAws8P1rgbWajGhjTkl6VNf\nuSs08z2HTFq2l0f/W73IqyIAAGyI4gIAAMzspZXRX76TXHHx+WuvDM283SGTFt/LaVvJ10+rrbSn\nAgBAplFcAACAmT17sC5Jes349YckPPnYQ6GZ1zlk0rSjUtChtU7a0wAAINMoLgAAwMyeOVhX3jP6\nmW3FtKcyV3YuBFppdtUbDNOeCgAAmUVxAQAAZvbswbpesxCoXPDSnspc2VEpaK3dV63dS3sqAABk\nFsUFAACY2bMH6zq5UlDBS+7R4ttPvRSauc8hk6YdlYKslV7gSFQAANZFcQEAAGbS7Pb1k2pLOxcK\nMsYkdt8H7707NHO6QyZNOyrjI1EpLgAAWBfFBQAAmMmPDo7+0p3kxpySdPvnbgzNvNUhk6Yd4//N\nnl+iuAAAYD0UFwAAYCbPHlqTNNpoEtM5uVyQkfTiEkeiAgCwHooLAAAwk2cP1pUz0ikncaLItLyc\n0bZyXj+tUlwAALCe2IoLY8xOY8xHjDH/yhjzrDGmZYypGWP+yhjzz4wxzvc2xrxgjLHr/Nof158B\nAACEe/ZgXTsXAlUCP9H73vjlO0Mzjztk0rajUtChtU7a0wAAILPifML4gKTbJO2T9IikH0s6RdIl\nku6QdJEx5gPWWus4Xk3S7x7n+3oEcwUAAJv07MG6Ti7nFfjJLuQ8a/fZoZmqQyZtOysF/d3+NXX7\nQxUS/t8QAIB5EGdx8feS3ifpz6y1w8mXxphPSfp/JL1foxLj247jVa21N0c9SQAAsHnd/lAvHG7q\nl87coVyCJ4pI0kcv3BN6JOrFF+7J/pGoCwWttfuqtbratcjrNgAAHC22Wt9a+7C19v98ZWkx/n6/\npD8c//bdcd0fAADE78WlhgbWamfCJ4psJZMjUZ/jSFQAAI4r2ZdRX9Ybf/anuCYwxlwh6TRJDUl/\nI+kxa+0g6skBAAA3zx4cvbG5gxNFNm1SXLyw1NQvn7Ez5dkAAJA9iRcXxhhf0n85/u2fT3HpayV9\n/ajvnjfGXGWtfXSD+31M0sck6bTTTptmqgAAIMSkuHhtCieKXHDJ5aGZ5x0yaZuUPs8fYsUFAADH\nk8YOULdI+g8l3W+t/b8cr7lT0ns0Ki8qks6WdLuk0yU9YIx503oXWmu/aq3dY63ds2vXrpkmDgAA\nXu2Zg3VtL+e1rZT8Is5rbro1NPMDh0zaTirlZYz04+Vm2lMBACCTEi0ujDHXSrpe0r+T9Guu11lr\nPzPeM+OAtbZprf2htfbjkn5HUknSzbFMGAAAbOjZg3VtrxQU+F7i9/7khy4KzZznkEmblzM6qZTX\nvlor7akAAJBJiRUXxpj/RtKXJf2tpPOstcsRDDvZ5PPcCMYCAABTGA6tnjtc146FgrxcsieKSNJz\ne58OzWx3yGTBzoVAh9Y6aU8DAIBMSqS4MMb8uqTfk/RDjUqL/RENfWj8WYloPAAA4Ogn1ZbavaF2\nsjHnzKe9SwYAABr3SURBVHZWCqo2e+r02XMcAICjxV5cGGN+U9KXJD2lUWlxMMLh3zb+fC7CMQEA\ngINnDq5JGv2lOw3bd50Smmk5ZLJg52JB9U5fB1ZZdQEAwNFiLS6MMf9Co804n5T0Hmvt4Q2yeWPM\nG40xZx31/W5jzDErKowxp0v6/fFv745s0gAAwMnkRJFTUjhRRJLu+M6ToZkHHDJZ8LPby5KkH/x4\nJeWZAACQPbEVF8aYD0v6rKSBpL+UdK0x5uajfl35ikt+VtJeSX9x1FCXSdpvjPkzY8wfGGN+yxhz\n7zj785Lul/Tbcf05AADA8T17sK6Foq/tKa24+OZtXwzN7HbIZMHrt5ckSU9SXAAAcIw4zy47Y/zp\nSfr1dTKPSrorZJxHJP2ipLdIeqdG+1lUJf2VpK9L+rq11s46WQAAMJ1nD9a1s1JQ0U/jdHXpW7d/\nSZddc/2Gmd23f0l7QzJZsFjKa1vR17/96WraUwEAIHNiKy6stTdrimNKrbUvSDpmS3Jr7aMaFRwA\nACAjrLV65mBdZ/3MgnwvneJiqzl1R1kvHG5oaK1yJvlTWgAAyCqeNAAAwNQOrXW01u7rNZwoEpnX\n7yxrqd7Vvlo77akAAJApFBcAAGBqk405dyyks7+FJN16z/2hmYcdMllxZJ+LF5dTngkAANlCcQEA\nAKb27KFRcfEzi6y4iMqpO0Yni3z/xWrKMwEAIFsoLgAAwNSeOVBXMZ/TzsX0VlzccPnFoZnzHTJZ\nsa2U12LR1w9/Wkt7KgAAZArFBQAAmNqzB+t6zUKgUj7OA8pOPK/fUdbz4w06AQDACMUFAACY2rMH\n6zq5XFAhpaNQt6rX7xht0HlglQ06AQCY4GkDAABMpdbs6VC9o9ek+JqIJH3w6utCM3sdMlly6o7R\nBp3/Lxt0AgBwBMUFAACYyrOH1iRJO1M8UUSSLrvm+tDMXodMlpy6fbRB5w/YoBMAgCMoLgAAwFQm\nR6HuTPlEkY+895zQzEUOmSw5qZzXQuDrhz9hg04AACYoLgAAwFSePViXnzM6ZVsx1XmsHDoQmik5\nZLLm9TtKen6pyQadAACMUVwAAICpPHuwrtcsBioXvLSnsiW9fmdZS2sdNugEAGCM4gIAAEzlmcmJ\nIl66jxFn7j47NLPikMmaU7eXZSV9/8fscwEAgERxAQAAptDqDvSTlZZes1iQMSbVuXzhGw+EZh5x\nyGTN5GSR77+4kvJMAADIBooLAADg7EeH6rJK/0QRSbrtszeEZt7ikMmak0qjDTqf/ikbdAIAIFFc\nAACAKTw9Pu3iNSmfKCJJD913T2jmDIdM1hhjdOqOkp4/1JBlg04AACguAACAu7965rBOKuV16vZS\n2lPZ0l6/o6zDax0dXOukPRUAAFJHcQEAAJwMhlZ//exhnbazrMUgn/Z0trRTd5RkJT3BPhcAAFBc\nAAAAN//2pzVVWz393M6ycrl0N+aUpK89+ERo5n6HTBadur0sSfr/27v3KLuqOsHj319VpSr1SlKV\nB68KqYAEGKF5hZfMOLB0MY69pnF4zPSIttgzQ3f7wLHtnnFsl6O22i6nVZTpcdBu7BalbR8DrBFo\nEEQl0CCBIKiBBCGEkJAHJOT9qKo9f5xTsSiqUjfJufeeqvv9rHXWqZyz776/k/zq5Nzf3WefZast\nXEiSZOFCkiRV5L6VmwBYOK+zzpFkfr38iQnbzKqgTRnN6phGZ2vz/jlFJElqZBYuJElSRZas3MRR\nM6dzxIzp9Q4FgM9+4N0TtnlDBW3KKJugs8MJOiVJwsKFJEmqwK69gyx97mX6ZnfQPq253uE0hPmz\nO9i4fQ8btztBpySpsVm4kCRJE3ro2ZfYN5jon9NBRP3nt2gEfT3tpASPOEGnJKnBWbiQJEkTum/l\nJqY1BwvndtU7lP3+4KOfnbDNoxW0Kav5vdkEnY86QackqcFZuJAkSRNasnIjfb0d9Ha01juU/S6+\n/B0TtllVQZuymtUxjY7WZn7hBJ2SpAZn4UKSJB3Qhq27eWr9do6d3UFrS3kuHS47vW/CNpdW0Kas\nsgk62/m1E3RKkhpcea4+JElSKS15OnsM6oI55XgMaiM5treTTdv2sMkJOiVJDczChSRJOqAlKzfR\n1dZC/+yOeofScBbO7WQowQ+Xr693KJIk1Y2FC0mSNK6UEkue3sT82R10T59W73Be5aw3vnnCNusq\naFNmi47spr21mZuXra13KJIk1Y2FC0mSNK4V67ezYdseFszuoLmpXI9B/ciX/3bCNv9UQZsya24K\nTps/i8dWb+blHd4uIklqTBYuJEnSuO5buRGAhfPK8xjUYZ+55qoJ25xfQZuyW9zfw77BxPcffaHe\noUiSVBcWLiRJ0riWPL2Jud1tHD1zer1DeY1Hfnr3hG2OqqBN2fXP7WRG+zRuWWbhQpLUmCxcSJKk\nMe0ZGOShZ16mr7edjtbmeofTsJoiOGvBLJav28raLTvrHY4kSTVn4UKSJI3p0ee2sGvfIP1zOoko\n1/wWjebM/h6GEvz9w8/XOxRJkmrOwoUkSRrTfSs30hRw3NzOeocypu8/tmbCNv+3gjaTwdGz2pnb\n3cZtj6+rdyiSJNWchQtJkjSmJU9voq+3gzndbfUOZUx3fe+bE7bpr6DNZBARnNXfwzMbd7Bi/bZ6\nhyNJUk1ZuJAkSa+xecdenljzCvN7O2hrKef8Ftd/6sMTtjmzgjaTxZkLegC46WfP1TkSSZJqy8KF\nJEl6jSVPbyIBC+Z01DsU5eZ0t9HX286dv1xf71AkSaopCxeSJOlVUkr89ZJn6els5bg55ZzfolEt\n7u9l3ZbdLF31cr1DkSSpZixcSJKkV/nxUxv5+fNbOHthDz2drfUOZ1wf/tLXJ2zzQAVtJpPTj51F\nAP+w1KeLSJIah4ULSZK0X0qJL969gtmdrZzV31vqx6Aef/KpE7bZUkGbyWRG+zSOn9fFPcs3MDg0\nVO9wJEmqCQsXkiRpv3uf2sDja15h8XE9zOkq72gLgP988eIJ27y1gjaTzeKFPby8Yy8/WbGx3qFI\nklQTFi4kSRKQjba49u6VzO5q5cwF5R5t0chO7ZtFc1Pw3aVr6h2KJEk1YeFCkiQBcM/ybLTF2Qt7\nSz/aopG1tzZz8lHd3LdyE3sGBusdjiRJVWfhQpIkZaMt7lnBnK5WzujvmRSjLd586dsnbPNsBW0m\no7MW9rJ9zwA3PvhcvUORJKnqLFxIkiR++Kv1/OKFrSw+rpc5JX6SyEh/9LHPTdhmWQVtJqNTj5nJ\n/N52Pn/nCp7fvKPe4UiSVFUWLiRJanDDc1vM7W7jrAWTY7QFwJ/+h389YZuLKmgzGTU1Be98Qz8D\nQ0O851vLGBpK9Q5JkqSqsXAhSVKDu/OX6/nVuq0sXthD7yQZbQHwzPInJmzTU0GbyWpOdxu/c8Yx\nPLHmFf7qx0/XOxxJkqrGwoUkSQ1saChx7d0rmNvdxpmTaLSFMm943WxOOKKLL9+zkifXba13OJIk\nVYWFC0mSGtj/e3wtT764jbOPm1yjLQB65h4xYZtdFbSZzCKCK89fQEtTE++56VH2DQ7VOyRJkgpn\n4UKSpAb1oyfX86ffe5y+nnbOmISjLf76h49M2OaOCtpMdjPap3H52X08s3EHf3HH8nqHI0lS4Sxc\nSJLUgO54Yh1/cOMjzJvRxqWL+5jd2VbvkA7aP3zl8xO2ObmCNlPBGQt6OG3+TL5+/yoefvbleocj\nSVKhLFxIktRgbl62hvfe9ChHz2rnirPn0z+ns94hHZLvXP/FCducXEGbqeLfnTOfrrYW3v/tZeza\nO1jvcCRJKoyFC0mSGshND63mj7/zcxbO7eKKc+Yzv7ej3iGpIO2tLbz9vGN58ZXdXHztT1i2enO9\nQ5IkqRAWLiRJahA3LHmWj9z8BCcc0c1lZ/dx9Kz2eoekgp141Aze/S8WsnnnPi79ygP8+Q9+ye59\njr6QJE1uVS1cRERfRNwQEWsjYk9ErIqIayOi5yD76c1ftyrvZ23eb1+1YpckaapYtWkHH73lCT75\ng1/xz46ewWWL+zhyxvR6h3XYPnfT7RO2+VEFbaaaU/tm8uG3nsRp82fxN0tWcfEXf8qjjr6QJE1i\nLdXqOCKOBx4A5gG3Ak8C5wAfAN4SEReklF6qoJ/ZeT+LgB8B3wZOAt4N/HZEnJ9SeqY6RyFJ0uQ0\nOJS498kNfOPB5/jpio00NwVn9ffwllOPZHbX5JuIUweno62F37ugn9OP3cL3l67hsq88wLvO7+eD\nb17EzI5p9Q5PkqSDEiml6nQccSdwMXBNSum6Edu/AHwQuD6l9IcV9HM9cDXwhZTSh0Zsvwb4EnBn\nSuktlcS0ePHitHTp0oM7EEmSJomUEute2c2tj63lWw89x5rNu5jZPo1T+mZyxoJZ9PV00Noyde4S\nvez0Pr7/2Jox9/XdfjOvv+6zdK57gR1HHcMv3/9h1rz139Y4wnLYtXeA7z28hmWrt9AUcMoxM7nw\nxHm88YQ5nDZ/FtOap05OSJImr4h4JKW0eMx91Shc5KMtngZWAcenlIZG7OsG1gEBzEsp7ThAP13A\nBmAIOCqltG3EvibgGWBB/h4TjrqwcCFJmuz2DAyybfcAW3ftY/XLO3l6w3ZWrt/Oyg3bWLlhO9t2\nDwCwcG4np/bN5PV9M5nT2UpE1Dny4o1XuOi7/WbO/OR/pWX3rv3bBqa38+jHPtewxQuAX2/YzrLV\nm1m1cQfrtuwmAZ1tzZx33GxOPWYmR8yYzhEz2pjXPZ0jZkxndmcrTU1TL28kSeV0oMJFtW4VuShf\n3zWyaAGQUtoWEfeTjcY4D7jnAP2cB7Tn/WwbuSOlNJSP6rg6f78pd7vIhm27+fRty+sdBgBVGphz\nSMoSSrVGKx2K0kRSmkAglSiYsqRKWeKA8vz7lOvvBAYGhxgYSgwMJgaGhtg3mNg7OMSOPQNs2z3A\n9t0D7B0ces1ru6e30NvZyuuO6GJOVxvzZ3dw3NwuOlqba38gJfD66z77qqIFQMvuXbz+us82dOHi\n+HldHD+vC4DNO/byixde4ZmNO1i6ajP3LN/wmvbNTcGM6S20tTTTNq2J6S3NTJ/WxPRpzftH7kQE\nAURA04ifIYjIvqVqivzngCDbOLKtpRFJKt4lpx/DRSfNq3cYhalW4eLEfL1inP0ryQoXizhw4aKS\nfsj7GVNEXE1W3ODYY489wFuVz559Qzy8ajN7B8oxG/hU/LbucJXqb6QkwZQkjFx5ovHX57VK81dS\nmkCgOYKmpqApRvzcFMxsn8bcGW20NjfR2tJEa0sz05qDruktzOpopb21maYIpjX/5mC27d7Htt37\n6ng01ffWq97P+q27X7O948W1Y7bveHHtmO0b1aIju1l0ZDdDKbF73xA79wywfc8AO/cOsmvPIDv3\nZoWywcGUFdSGEjv3DbJ1zwCDQwnScL067S8CJoYLgnl5Mh1oW1lKmJI09Uxva7FwUYGZ+fqVcfYP\nb59V7X5SSl8FvgrZrSITvF+pzO/t4P7/dhGbd07tC09JagSji1cxaservrXOv4WOMlVVSuiqc784\n5vY0fz6xevWY2686t7/KUTWGobxYMTz6cGi4iDFiGNPwT2Ua2SRJjaKrrWrP4aiLqXU0U1BE0NvZ\nWu8wJEmaPD7zGbj6ati58zfbOjpo+sxnaG/Q22ckSZrMqjWN9PBIiJnj7B/evqVG/UiSpEZx5ZXw\n1a/CggXZMJYFC7I/X3llvSOTJEmHoFojLp7K1+PNPXFCvh5v7oqi+5EkSY3kyistVEiSNEVUa8TF\nvfn64vyxpfvlj0O9ANgJPDhBPw8Cu4AL8teN7KeJbILPke8nSZIkSZKmkKoULlJKvwbuAvqB947a\n/QmgE7gxpbRjeGNEnBQRJ43qZztwY97+46P6eV/e/50ppSn3KFRJkiRJklTdyTnfAzwAfDki3gQs\nB84FLiK7tePPRrVfnq9HT6H+EeBC4I8j4nTgZ8DJwCXABl5bGJEkSZIkSVNEtW4VGR51sRj4W7KC\nxYeA44EvAeellF6qsJ+XgPOBLwOvy/s5F/g6cFb+PpIkSZIkaQqq6uNQU0rPA++usO24D6tPKb0M\nfCBfJEmSJElSg6jaiAtJkiRJkqTDZeFCkiRJkiSVloULSZIkSZJUWhYuJEmSJElSaVm4kCRJkiRJ\npWXhQpIkSZIklZaFC0mSJEmSVFoWLiRJkiRJUmlZuJAkSZIkSaVl4UKSJEmSJJWWhQtJkiRJklRa\nFi4kSZIkSVJpWbiQJEmSJEmlZeFCkiRJkiSVloULSZIkSZJUWhYuJEmSJElSaVm4kCRJkiRJpWXh\nQpIkSZIklVaklOodQ81ExEbguXrHcQjmAJvqHYRUMPNaU5W5ranIvNZUZW5rqpqMub0gpTR3rB0N\nVbiYrCJiaUppcb3jkIpkXmuqMrc1FZnXmqrMbU1VUy23vVVEkiRJkiSVloULSZIkSZJUWhYuJoev\n1jsAqQrMa01V5ramIvNaU5W5ralqSuW2c1xIkiRJkqTScsSFJEmSJEkqLQsXkiRJkiSptCxcSJIk\nSZKk0rJwUWMR0RcRN0TE2ojYExGrIuLaiOg5yH5689etyvtZm/fbV63YpQM53NyOiM6IuDIiboqI\nJyNiR0Rsi4ilEfGhiGit9jFIoxV1zh7V5xsjYjAiUkR8qsh4pUoVmdsRcWZ+7l6T97U+In4SEb9X\njdilAynwWvufR8St+et3R8TqiLg9It5SrdilsUTE5RFxXUTcFxFb8+uHbx5iX4Vf19SKk3PWUEQc\nDzwAzANuBZ4EzgEuAp4CLkgpvVRBP7PzfhYBPwIeBk4CLgE2AOenlJ6pxjFIYykit/MLgTuAl4F7\ngaeBHuB3gCPz/t+UUtpdpcOQXqWoc/aoPruBx4E5QBfw6ZTSR4uMW5pIkbkdEe8DvgRsBm4DXgB6\ngVOANSml3y38AKRxFHit/UfA/wZ2ADcDa4A+4FKgA/hoSunT1TgGabSIeAw4DdhOlosnAd9KKb3j\nIPsp/LqmplJKLjVagDuBBLx/1PYv5Nv/T4X9XJ+3//yo7dfk2/+x3sfq0lhLEbkNnA5cCbSO2t4N\nPJL386F6H6tL4yxFnbNHvfYGsuLcR/I+PlXv43RpvKXA65GLgaG8v+4x9k+r97G6NNZS0PXINGAL\nsAs4cdS+k4HdwE6grd7H69IYC1lh4QQggAvzXP7mIfRT+HVNLRdHXNRIXuF6GlgFHJ9SGhqxrxtY\nR5aM81JKOw7QTxfZqIoh4KiU0rYR+5qAZ4AF+Xs46kJVV1RuT/Aebwe+BfwgpfRvDjtoaQLVyOuI\nuAS4BXgn0AJ8HUdcqMaKzO2I+DnwOuDYVOZv6dQQCrzWPgJ4EXg8pXTaGPsfB04F5pj3qrWIuJBs\nZPJBjbioxfV6tTnHRe1clK/vGpkoAHnx4X6yoWfnTdDPeUA7cP/IokXez/C3HiPfT6q2onL7QPbl\n64HD6EM6GIXmdUTMA74G3JJSOqT7UqWCFJLbEXEK8FvAXcDLEXFRRPxJPifRm/IvU6RaKuq8vQHY\nCCyKiBNG7oiIRWTffD9m0UKTTC2u16vK/1Rq58R8vWKc/Svz9aIa9SMVpRY5+fv5+h8Pow/pYBSd\n118j+z/3Dw8nKKkAReX22fl6A/Bjsjm3/ifwl8DdwGMR8bpDD1M6aIXkdsqGo7+X7Jz9SET8XUT8\nRUR8g+zW1V8CVxQQr1RLk/4zZEu9A2ggM/P1K+PsH94+q0b9SEWpak7mE7+9BXiMbH4AqRYKy+uI\n+H2ySWb/fUppfQGxSYejqNyel6//I9mEnL8NLAGOAD4GvAO4LSJOTSntPfRwpYoVdt5OKX03ItYC\nfw+MfDrOerLb/LwdW5PNpP8M6YgLSaUVEZcC15Lda3pZSmnfBC+RSiUi+sly+Lsppe/UNxqpUMPX\nkM3A76aUbk8pbU0prST7oLeU7Ju7y+oVoHSoIuIdZCOH7iObkLMjX98D/C/g2/WLTmpMFi5qZ7iK\nNXOc/cPbt9SoH6koVcnJiHgb2YXBBuBCJ5tVjRWV1zeQzUz/niKCkgpQVG4P738xpfRPI3fkQ+1v\nzf94zkFHKB2aQnI7n8fiBrJbQt6ZUnoypbQrpfQk2eTKjwBX5JMkSpPFpP8MaeGidp7K1+PdNzQ8\n+c949x0V3Y9UlMJzMiKuAL5LNiTzX6aUnprgJVLRisrrM8mG1G+MiDS8kA01BvizfNsthxeuVLGi\nr0fGu8jdnK/bK4xLOlxF5fbFZI9E/ckYkxgOAT/N/3jWoQQp1cmk/wzpHBe1c2++vjgimsZ4BM0F\nZM+EfnCCfh4k+/bugojoHuNxqBePej+p2orK7eHXXAn8Hdk90xc50kJ1UlRef4NsiPFoJwBvJJu7\n5RFg2WFHLFWmyOuRHUB/RHSO8fi8U/L1swXELFWiqNxuy9dzx9k/vN25WzSZFHq9Xg+OuKiRlNKv\nyR4Z1k82U/FInwA6gRtH/scfESdFxEmj+tkO3Ji3//ioft6X93+nH/ZUK0Xldr79XWQf9FYDbzSP\nVS8FnrOvSSn9p9ELvxlxcVu+7a+qdjDSCAXm9k7gb4DpwKciIka0PxW4iuwR1t8r/iik1yrweuS+\nfH15RPzWyB0RcTpwOZDInqQjlUpETMvz+viR2w/l96NsIrsNUbWQJ9ADZMOGbwWWA+eSPVd3BfCG\nkc+EzocTk1KKUf3MzvtZRHbS/BnZhEGXkM0H8IY8OaWaKCK3I+IisomwmsjuLX1+jLfaklK6tkqH\nIb1KUefscfq+iqx48emU0kcLD146gAKvR2YAPwFOBx4C7id7qsilZLeI/JeU0peqfTzSsAJz+wbg\n3WSjKm4GniP7wPc2oBW4NqX0wSofjgTsn/ftbfkfjwT+FdmTbYaLbJtSSn+St+0nG+n2XEqpf1Q/\nB/X7UTYWLmosIuYDnyR7vONsYB3ZCfETKaXNo9qOexEcEb3A/yBL4qOAl4A7gI+llNZU8xiksRxu\nbo/4IHcgrzkJS9VU1Dl7jH6vwsKF6qjA65Eu4L8DVwALyG5n/Rnwlymlu6p5DNJYisjtfATRu8hG\nDp0GdANbyW7r+1pKyaeKqGYi4uNkn/vGs//6+ECFi3x/xb8fZWPhQpIkSZIklZZzXEiSJEmSpNKy\ncCFJkiRJkkrLwoUkSZIkSSotCxeSJEmSJKm0LFxIkiRJkqTSsnAhSZIkSZJKy8KFJEmSJEkqLQsX\nkiRJkiSptCxcSJIkSZKk0vr/GQJuAdyGQ70AAAAASUVORK5CYII=\n",
"text/plain": [
"<Figure size 1296x720 with 1 Axes>"
]
},
"metadata": {
"tags": []
}
}
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "mpCOWIB3t8p1",
"colab_type": "text"
},
"source": [
"## MAPの復習とベイズ推定の概要\n",
"\n",
"まずはベイズの定理から復習する\n",
"\n",
"$$ P(\\theta | D)=\\frac{P(D | \\theta) P(\\theta)}{P(D)} $$\n",
"\n",
"$D$ はデータ\n",
"$\\theta$ はパラメータ\n",
"\n",
"個人的にはこの書き方好きではない、なぜなら$P(D)$という表記なんて意味わからんから\n"
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "gxsAlYv_xW3q",
"colab_type": "text"
},
"source": [
"ところで上のプロットは$N=500$の試行ののちの表が出る確率$\\theta$の分布なのだ。\n",
"\n",
"赤い点がMAP推定によって求められたベストなパラメータの値なのだ。\n",
"\n",
"思い出してほいいMAP推定とは上の式の分子を最大化させる手法であった。\n",
"\n",
"一方でベイズ推定とは分母を切り捨てずちゃんと計算して左を導出する。\n",
"\n",
"ということはベイズの方が難しいんだ。\n",
"\n",
"ちなみに最尤法’MAP推定は値を推定するので点推定とも呼ばれる。"
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "fG4AVuDaygho",
"colab_type": "text"
},
"source": [
"## なぜベイズ推定したいのか\n",
"\n",
"これは悪魔で僕なりの理解と見解なのでそれを踏まえて聞いて欲しい。\n",
"\n",
"前述通りMAP推定よりベイズ推定の方が難しい。理由は分母の計算があるから。\n",
"\n",
"ましてやこの計算は積分の形になる。\n",
"\n",
"さらにいうと計算できなくて困っているくらいなのだ(MCMCとか)\n",
"\n",
"そこまでしてベイズ推定するメリットはなんなのか?\n",
"\n",
"なぜMAP推定ではダメなのか?\n",
"\n",
"僕の理解だとまず、MAPがダメというわけではない。\n",
"\n",
"ベイズ推定の結果がMAP推定と同値的なことになることはある\n",
"\n",
"![gaussian_mixture](https://www.statisticshowto.datasciencecentral.com/wp-content/uploads/2016/05/Gaussian-mixture-example.svg_.png)\n",
"\n",
"上の図をみて欲しい\n",
"\n",
"(実はこれは混合ガウスと呼ばれる分布だがそれは気にしなくていい)\n",
"\n",
"例えばベイズ推定後のパラメータの分布が上のようになったとする。\n",
"\n",
"するとベイズ推定最大の利点の一つは「平均をとることもできる」という点だと思っている\n",
"\n",
"説明すると、MAP推定のみの場合、得られる情報はその値は真ん中の山の頂点を指す点、つまり$\\theta=10$のみだ\n",
"\n",
"しかし、ベイズ推定をしていたことで分布の全体像がわかるため、例えば\n",
"\n",
"$\\theta= 10$ではなくいい山が3つあるので平均をとって\n",
"\n",
"$$ \\theta = \\frac{6+10+17}{3} = 11 $$\n",
"\n",
"のようにパラメータをより主観的に微調整できる\n",
"\n",
"なぜ主観的という言葉を使ったかというとそもそもベイズの根幹に\n",
"\n",
"$$ 直感・主観 $$\n",
"\n",
"を反映させるというアイデアがあるからだ。"
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "hla5mrPkyFwv",
"colab_type": "text"
},
"source": [
"## ベイズ推定"
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "ngWCgC8VyKbU",
"colab_type": "text"
},
"source": [
"最も簡単なのでコイン投げを例にする\n",
"\n",
"なぜ簡単かというとパラメータが一つですむ。というのは\n",
"\n",
"表が出る確率を$\\theta$とすると自動的に裏が出る確率が$1-\\theta$と定まるからだ。\n",
"\n",
"加えて計算も楽なのだ。僕は数学が苦手なので複雑な理論とかはできない\n",
"\n",
"ここではパラメータ$\\theta$の分布をベイズ推定で求めると同時に、その分布の変化を可視化することで確認する"
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "0fuj3cU0McWc",
"colab_type": "text"
},
"source": [
"パラメータの確率密度関数を$f_n$、コイン投げの結果$x_n$を$H$、$T$で表し、確率変数を$c$とする。\n",
"\n",
"例えば\n",
"$$f_n(\\theta) = f_n(\\theta|c=H)$$\n",
"は表が出た時のベイズ推定で得た分布ということ\n",
"\n",
"これを踏まえると$n+1$回目の更新では次のようになる\n",
"\n",
"$$f_{n+1}(\\theta) = f_{n+1}(\\theta|c=x_n) = \\frac{p(c=x_n|\\theta) f_n(\\theta)}{p(c=x_n)} $$\n",
"\n",
"ただし\n",
"\n",
"$$ p(c=x_n) = \\int_0^1 p(c=x_n|\\theta)f_n(\\theta) d\\theta $$\n"
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "qwEXIbXOPEWt",
"colab_type": "text"
},
"source": [
"では事前分布を決めよう。これは上式の$f_1$に相当する\n",
"\n",
"事前分布とはパラメータに仮定する分布であった。\n",
"\n",
"今回のパラメータ$\\theta$はコインが表をだす確率だ。\n",
"\n",
"僕ならば一様分布を仮定する。なぜなら表も裏も同じくらい出るだろうと思っているから。\n",
"\n",
"例えばコイン持っていた人間が表がめっちゃ好きな人間ならパラメータは右に偏る\n",
"\n",
"つまり一様分布とはかけ離れ$\\theta=1$付近で最大値をとるようないわばデルタ分布を仮定すればいいが\n",
"\n",
"話がややこしくなるので僕みたいは初心者は一様分布を仮定してみよう。\n",
"\n",
"つまり\n",
"\n",
"$$ f_1(\\theta) = 1 $$\n",
"\n",
"共役事前分布は?と思った方もいるかもしれないがいったん忘れて欲しい\n",
"\n",
"なぜならとことん話が簡単になるのだよ"
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "gxpkiudrQgU8",
"colab_type": "text"
},
"source": [
"残るは尤度、上式の$p(c=x_n)$のみだ。\n",
"\n",
"尤度とはなんだった?それは試行の結果をパラメータを用いて表現したモデルだった\n",
"\n",
"つまり、$x_1=H$だったとするとその事象に対する尤度は\n",
"\n",
"$$ p(c=H|\\theta) = \\theta $$\n",
"\n",
"となる、実にシンプルだろ?二項分布とかでやると計算がだるいんだ。"
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "J9AV5Q5pOmhp",
"colab_type": "text"
},
"source": [
"ではベイズ推定してみよう。\n",
"\n",
"前述通り$x_1=H$というデータが得られたとする。まずは分母つまり次の積分を計算する。\n",
"\n",
"\n",
"$$ p(c=x_1) = \\int_0^1 p(c=H|\\theta)f_n(\\theta) d\\theta $$\n",
"代入すると\n",
"$$ p(c=x_1) = \\int_0^1 \\left( \\theta \\times 1 \\right) d\\theta = \\frac{1}{2} $$\n",
"\n",
"では分子も計算する\n",
"\n",
"$$f_{2}(\\theta) = f_{2}(\\theta|c=x_1) = \\frac{p(c=H|\\theta) f_1(\\theta)}{1/2} $$\n",
"\n",
"$$f_{2}(\\theta) = \\frac{ \\theta \\times 1}{1/2} = 2\\theta $$\n",
"\n",
"となった。\n",
"\n",
"少しまとめてみよう\n",
"\n",
"1. (試行前)裏表同じくらいで出るよなー?\n",
"2. (試行)Headが出た\n",
"3. (試行後)まじ?まさか表出やすい?けどゆうてまだ一回目やしな\n",
"\n",
"今この3にいるわけだ。では次のベイズ推定を行ってみよう。\n",
"\n",
"$f_2$は$x_2$によるベイズ推定における事前分布となることに注意する。"
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "zObeS6ehUupN",
"colab_type": "text"
},
"source": [
"二回目の試行も一回目と同じく$x_2=H$だったとしよう\n",
"\n",
"すると尤度は\n",
"\n",
"$$ p(c=H|\\theta) $$\n",
"\n",
"なのでこれを用いて先ほどと同様に積分と分布を計算する\n",
"\n",
"\n",
"$$ p(c=x_2) = \\int_0^1 \\left( \\theta \\times f_2(\\theta) \\right) d\\theta = \\frac{2}{3} $$\n",
"\n",
"\n",
"$$f_{3}(\\theta) = f_{3}(\\theta|c=x_2) = \\frac{p(c=H|\\theta) f_2(\\theta)}{2/3} $$\n",
"\n",
"$$f_{3}(\\theta) = \\frac{ \\theta \\times 2\\theta}{2/3} = 3\\theta^2 $$\n",
"\n",
"となりました。\n",
"\n",
"先ほど同様にまとめます。\n",
"\n",
"\n",
"1. (試行前)裏表同じくらいで出るよなー?\n",
"2. (試行)Headが出た\n",
"3. (試行後)まじ?まさか表出やすい?けどゆうてまだ一回目やしな\n",
"4. (試行)Headが出た\n",
"5. (試行後)うせやろ?これ表しかでーへんパターンやろ\n",
"\n",
"こんな気持ちですよね。この気持ちが分布(密度関数$f_n$)として現れているんです。\n",
"\n",
"というのは$f_n$に注目してみると\n",
"\n",
"1. $f_1 = 1$\n",
"2. $f_2 = 2\\theta$\n",
"3. $f_3 = 3\\theta^2$\n",
"\n",
"とこれ単調増加具合が増えてますよね。可視化してみます。"
]
},
{
"cell_type": "code",
"metadata": {
"id": "nOCx_4rcXF1T",
"colab_type": "code",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 658
},
"outputId": "8ac70f13-f04b-4bdc-bd8d-2257daca9ddd"
},
"source": [
"data = np.array([1])\n",
"\n",
"N = len(data)\n",
"heads = data.sum()\n",
"x = np.linspace(0, 1, 150)\n",
"y = dist.pdf(x, 1 + heads, 1 + N - heads)\n",
"\n",
"plt.subplot(211)\n",
"plt.plot(x, y)\n",
"plt.fill_between(x, 0, y, color=\"#348ABD\", alpha=0.4)\n",
"plt.vlines(0.5, min(y), max(y), color=\"k\", linestyles=\"--\", lw=1)\n",
"plt.title(\"Head PDF [observe %d tosses, %d heads]\" % (N, heads))\n",
"best_para_map = x[y.argmax()]\n",
"plt.scatter(best_para_map, 0, c='red', label='Best Parameter by MAP estimation')\n",
"plt.vlines(best_para_map, min(y), max(y), color=\"red\", linestyles=\"--\", lw=1)\n",
"plt.legend()\n",
"print('Best parameter by MAP Estimation:', best_para_map)\n",
"\n",
"data = np.array([1, 1])\n",
"\n",
"N = len(data)\n",
"heads = data.sum()\n",
"x = np.linspace(0, 1, 150)\n",
"y = dist.pdf(x, 1 + heads, 1 + N - heads)\n",
"\n",
"plt.subplot(212)\n",
"plt.plot(x, y)\n",
"plt.fill_between(x, 0, y, color=\"#348ABD\", alpha=0.4)\n",
"plt.vlines(0.5, min(y), max(y), color=\"k\", linestyles=\"--\", lw=1)\n",
"plt.title(\"Head PDF [observe %d tosses, %d heads]\" % (N, heads))\n",
"\n",
"best_para_map = x[y.argmax()]\n",
"plt.scatter(best_para_map, 0, c='red', label='Best Parameter by MAP estimation')\n",
"plt.vlines(best_para_map, min(y), max(y), color=\"red\", linestyles=\"--\", lw=1)\n",
"plt.legend()\n",
"\n",
"print('Best parameter by MAP Estimation:', best_para_map)"
],
"execution_count": 12,
"outputs": [
{
"output_type": "stream",
"text": [
"Best parameter by MAP Estimation: 1.0\n",
"Best parameter by MAP Estimation: 1.0\n"
],
"name": "stdout"
},
{
"output_type": "display_data",
"data": {
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mZiZXXnkl69evP6zxTJgwARFp9I3B4sWLa32O8PBwUlNTueiii1i6dGnLBNyG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\nnJ7pMN+fPKbPD5WhFgAAAAAA/HfffVI8fv65eNw9v4T4EUIc9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"text/plain": [
"<Figure size 1296x720 with 2 Axes>"
]
},
"metadata": {
"tags": []
}
}
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "2ufdiuuxYGGh",
"colab_type": "text"
},
"source": [
"なんとなくわかりましたか?\n",
"\n",
"これをたくさんシュミレーションすると"
]
},
{
"cell_type": "code",
"metadata": {
"id": "ereJRSplWHho",
"colab_type": "code",
"outputId": "09a0bcd7-c21c-4cdb-f02b-c3a61102fd51",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 744
}
},
"source": [
"n_trials = [0, 1, 2, 3, 4, 5, 8, 15, 50, 500]\n",
"data = stats.bernoulli.rvs(0.5, size=n_trials[-1])\n",
"x = np.linspace(0, 1, 100)\n",
"\n",
"# For the already prepared, I'm using Binomial's conj. prior.\n",
"for k, N in enumerate(n_trials):\n",
" sx = plt.subplot(len(n_trials) / 2, 2, k + 1)\n",
" plt.xlabel(\"$p$, probability of heads\") \\\n",
" if k in [0, len(n_trials) - 1] else None\n",
" plt.setp(sx.get_yticklabels(), visible=False)\n",
" heads = data[:N].sum()\n",
" y = dist.pdf(x, 1 + heads, 1 + N - heads)\n",
" plt.plot(x, y, label=\"observe %d tosses,\\n %d heads\" % (N, heads))\n",
" plt.fill_between(x, 0, y, color=\"#348ABD\", alpha=0.4)\n",
" plt.vlines(0.5, 0, 4, color=\"k\", linestyles=\"--\", lw=1)\n",
"\n",
" leg = plt.legend()\n",
" leg.get_frame().set_alpha(0.4)\n",
" plt.autoscale(tight=True)\n",
"\n",
"\n",
"plt.suptitle(\"Bayesian updating of posterior probabilities\", y=1.02, fontsize=14)\n",
"\n",
"plt.tight_layout()"
],
"execution_count": 13,
"outputs": [
{
"output_type": "display_data",
"data": {
"image/png": 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kk0+8HYYQ98SWLVsYO3Ys27Zt49q1a1SrVo0BAwYwZMgQj3NueZKQkEDlypXp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YaECR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anYU17CmqobLe5j7GoNUQ7Gsg0MfAWUkWAi16Ai0Ggn0NBPkaMOm0GLSaHlfZpXX19HMOv9UT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"text/plain": [
"<Figure size 1296x720 with 10 Axes>"
]
},
"metadata": {
"tags": []
}
}
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "skptS6rUrhkR",
"colab_type": "text"
},
"source": [
"## Reference\n",
"\n",
"- https://nbviewer.jupyter.org/github/CamDavidsonPilon/Probabilistic-Programming-and-Bayesian-Methods-for-Hackers/blob/master/Chapter1_Introduction/Ch1_Introduction_PyMC2.ipynb\n",
"- https://www.statisticshowto.datasciencecentral.com/gaussian-mixture-model/"
]
}
]
}
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kiwamizamurai commented Dec 13, 2019

シュミレーションのコードについて

y = dist.pdf(x, 1 + heads, 1 + N - heads)

二項分布にベータ分布を掛け忘れてる?
理解においては本質的なミスでは無いが重要な問題ではある。

つまり、最終的な事後分布の形が試行の順番によらないことを考えると
事前分布に一様分布を用いた場合、尤度は二項分布となり、その積分はベータ分布となる
よって最終的に得られる事後分布は「ベータ分布x二項分布」か?

http://r-tips.hatenablog.com/entry/beta-distribution

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