{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Getting Started with `pyGAM`\n", "\n", "## Introduction\n", "\n", "Generalized Additive Models (GAMs) are smooth semi-parametric models of the form:\n", "\n", "$$\n", " g(\\mathbb{E}[y|X]) = \\beta_0 + f_1(X_1) + f_2(X_2) + \\ldots + f_p(X_p)\n", "$$\n", "\n", "where `X.T = [X_1, X_2, ..., X_p]` are independent variables, `y` is the dependent variable, and `g()` is the link function that relates our predictor variables to the expected value of the dependent variable.\n", "\n", "The feature functions `f_i()` are built using **penalized B splines**, which allow us to **automatically model non-linear relationships** without having to manually try out many different transformations on each variable.\n", "\n", "\n", "![Basis splines](pygam_basis.png)\n", "\n", "GAMs extend generalized linear models by allowing non-linear functions of features while maintaining additivity. Since the model is additive, it is easy to examine the effect of each `X_i` on `Y` individually while holding all other predictors constant.\n", "\n", "The result is a very flexible model, where it is easy to incorporate prior knowledge and control overfitting.\n", "\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Regression\n", "\n", "For **regression** problems, we can use a **linear GAM** which models:\n", "\n", "$$\n", " \\mathbb{E}[y|X]=\\beta_0+f_1(X_1)+f_2(X_2)+\\dots+f_p(X_p)\n", "$$" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "import matplotlib.pyplot as plt" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "plt.ion()\n", "plt.rcParams['figure.figsize'] = (12, 8)" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "100% (11 of 11) |########################| Elapsed Time: 0:00:01 Time: 0:00:01\n" ] }, { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from pygam import LinearGAM\n", "from pygam.datasets import wage\n", "\n", "X, y = wage(return_X_y=True)\n", "\n", "gam = LinearGAM(n_splines=10).gridsearch(X, y)\n", "XX = gam.generate_X_grid()\n", "\n", "fig, axs = plt.subplots(1, 3)\n", "titles = ['year', 'age', 'education']\n", "\n", "for i, ax in enumerate(axs):\n", " pdep, confi = gam.partial_dependence(XX, feature=i, width=.95)\n", "\n", " ax.plot(XX[:, i], pdep)\n", " ax.plot(XX[:, i], *confi, c='r', ls='--')\n", " ax.set_title(titles[i])\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Even though we allowed n_splines=10 per numerical feature, our smoothing penalty reduces us to just 14 effective degrees of freedom:" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "LinearGAM \n", "=============================================== ==========================================================\n", "Distribution: NormalDist Effective DoF: 13.532\n", "Link Function: IdentityLink Log Likelihood: -24119.2327\n", "Number of Samples: 3000 AIC: 48267.5293\n", " AICc: 48267.6805\n", " GCV: 1247.0706\n", " Scale: 1236.9495\n", " Pseudo R-Squared: 0.2926\n", "==========================================================================================================\n", "Feature Function Data Type Num Splines Spline Order Linear Fit Lambda P > x Sig. Code \n", "================== ============== ============= ============= =========== ========== ========== ==========\n", "feature 1 numerical 10 3 False 15.8489 8.23e-03 ** \n", "feature 2 numerical 10 3 False 15.8489 1.11e-16 *** \n", "feature 3 categorical 5 0 False 15.8489 1.11e-16 *** \n", "intercept 1.11e-16 *** \n", "==========================================================================================================\n", "Significance codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1\n", "\n", "WARNING: Fitting splines and a linear function to a feature introduces a model identifiability problem\n", " which can cause p-values to appear significant when they are not.\n", "\n", "WARNING: p-values calculated in this manner behave correctly for un-penalized models or models with\n", " known smoothing parameters, but when smoothing parameters have been estimated, the p-values\n", " are typically lower than they should be, meaning that the tests reject the null too readily.\n" ] } ], "source": [ "gam.summary()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "With **LinearGAMs**, we can also check the **prediction intervals**:" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "100% (11 of 11) |########################| Elapsed Time: 0:00:00 Time: 0:00:00\n" ] }, { "data": { "text/plain": [ "Text(0.5,1,'95% prediction interval')" ] }, "execution_count": 5, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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TaKWUqqIsS5LmGTNgypTCF05JTk4u9LFJSUmVHN3ldekCpgmLFkkynZl56WuFxZeWlkZm7p2UUqoSaRKtlFJV1PPPw7RpskpgUaXC7dq1K7DN09OTVq1aVXJ0JdOsmayiOGECeHnJUuIAbdu2LbBvWFgYvrqmuFLKQTSJVkqpKuiLL2D+fBg3rvj9WrZsyYABA/Dykikyfn5+3HLLLQQEBFR+kCXk7S0j0RcugGHI4iyDB1+bJ9Fv2LAho0aNcmKUSqnqRrtzKKVUFbNrFwwcCGvWSPu4kkhJSSE+Pp769etfTKhd0dGjMHo0NG0qHxQs6zwZGRk0aNDA2aEppaqOEnXn0CRaKaWqmIwMWQ2wWzdnR1I50tLgjTfgqaek17UTmogopao2TaKVUqo6sSxJLB99tOQj0O5u+HAZmb7//rx13ydOnGDdunXEx8fTsmVL+vXrh4+Pj/MCVUq5E02ilVKqOvnkE5lIuHGjrABYHezZI8uY9+wp37u/v7To+/TTT/N06mjRogXjx493YqRKKTeiy34rpVR1cfgwvPgifP119UmgATp0gM2bISsL1q6VbVu2bCnQ6u7w4cOcPHnSCREqpaoq1509opRSqsQuXID33oOOHZ0diePVrAlffin///hj2L+/LkFBBfcrqie2UkqVhY5EK6WUm1u9Glq1gnvucXYkzterF3z//VX88st1ZGZeeovz8/MjNDTUiZEppaoaTaKVUsqNHTwIt94K0dHOjsQ1XHUV7Njhg2W1ZPXqgQDUqlWLMWPGuHTrPqWU+9GJhUop5aYsS7pTXHstPPuss6NxLXY7nDuXzIEDKRw+XIdx43TMSClVYjqxUCmlqrJt22QZ7KeecnYkrsfDA+rV88fPrx7//KcH99wDCQnOjkopVZXoSLRSSrkhy5K+yKmp1asbR1kkJcHEibB9u3TysJVojEkpVY1pn2illKqqnnkGrr4abrvN2ZG4j5MnITgY5syBv/wFvL2dHZFSykVpOYdSSlVFO3fCV1/BwIHOjsS9NGokrQDnzZPFWbZvd3ZESil3pkm0Ukq5kZylvV9+GerVc3Y07qdWLVi8GJ58EoYOlbpypZQqCy3nUEopN5KRAW+9Bc8/r+UI5RUbCw0aSFIdEgJduzo7IqWUMyQnw/nz0KTJxU1azqGUUlVJejpERsIrr2gCXRGCg2WSYVISDBsmbQIvXHB2VEopR8nIgGnTwNcXGjcu/eM1iVZKKTfx3/9qP+jKMHYsRERATAw8+qizo1FKOUJCAtx4IyxZAmlpZevao+UcSinlBhIToU0b+O036NLF2dFUXWlpMhr9t7/B5MnQooWzI1JKVbTEROjXTzocffghFLKYqZZzKKVUVfHxx7IyoSbQlcvXFwIDoXNn6NEDJk2Scg+lVNVw/jwEBMDbb8vraiEJdInpSLRSSrmBhARISYGGDZ0dSfVx9Kh0QfnnP6Ve0s8PPD2dHZVSqiwsCz76CKZMgd275QNzMXQkWimlqoJPP4UTJzSBdrSwMOnH3aaNvPl27w7Lljk7KqVUaaWkwH33wSefyN/wZRLoEivHILZSSqnKduIEPPcc7Njh7Eiqt+eeg3btYMIEKfWYP1+XD1fKHViWlHD4+cGGDVCzZsUdW8s5lFLKhT3+uLz4v/eesyNRIG0Gw8Ohd294800YMEAmJymlXItlycjzypXwzTelfniJPiLrSLRSSrmotDTYuBF+/dXZkRRkWRYZGRn4+Pg4OxSH8vGRBBqkz/Sdd0Lr1vDvf1/arpRyrrNnpV1lZGSZEugS05FopZRyYZblemUDERERLF++nPj4eIKDg7n++usJCwtzdlhOkZ4OX34pz9NDD8HSpdJFRRfDUco5LAvmzIGtW2V11xo1ynSYEr3qahKtlFIu6NgxmQjz+++ulUSfPHmSmTNnkvu9w8fHh4kTJ+Ln5+fEyJwvMRFuugkOHoS//lWS6rp1nR2VUtVDbKz83Y0eLbdy0u4cSinlrt59F666yrUSaICdO3eSf/AlPT2dffv2OSki1xEYCKtWwU8/wZ49sGgRZGXJZCb3Ga9Syr3Y7fDZZ3DFFdCypaxC6ChaE62UUi7m1CmYO1d6mboaryJWJihqe3XUrRt88YX8/+hRuP9+SaLvvx/Gj4dGjZwanlJVxrlzEBQEERHwyy/ShtKRdCRaKaVczMmT8NJLrplsdenSpUDCHBAQQLt27ZwUkWsLC5MPQ7NmySSnP/+UZcU/+kieZ6VU6R0/Lh9IBw+W+1OmOD6BBq2JVkopl5KcLJPSXHli2tGjR1m1ahWxsbE0a9aMIUOGUL9+fWeH5TZOnIDnn5dyjw4dYPJkSQZccRKpUq7m88/h73+HRx6BF16QMqpK4BoTC2022xEgEcgCMi3LMmw2W13gW6A5cAQYY1nWucscSpNopVSVN2mSTFB7/31nR6IqW1oarF4to9W1a0sN/KBB0nt62DAIDXV2hEq5hrg4GW2eOFGu5NSoUelX6lxqYuEgy7K6WpZlZN9/HlhuWVYbYHn2faWUqtYSE2HaNOlvqqo+X18YOhTatpUl3VeuhP795d8lS2Sf+++XkepffoHTp50br1KOduKELDjVtq38/tvt0Ly565S6OWok2rAsKy7Xtn3AQMuyYmw2W2NglWVZlyuo05FopVSV9v77YJqVuziAch+WBd99J/1ut26FZs1kwuILL8jIXLt20KIF3HYbJCWBl5ck5kq5M8uSKzQtWkBmpswneOIJ+aDpQC5TznEYOIckwTMsy5pps9nOW5YVlGufc5Zl1bnMoTSJVkpVaevWSV/hDh2cHcnlZWRkkJiYSFBQEB4eOkfdkTZtgm3bYO9eiI+XGtEpU+DZZ6UsJDgY5s2DgACpva5VS+pGhw+XMpGpUyE1VerumzSBceOkDd+BA5KIe3nBDTfIZfPw8Evb2rWDxo2lE0JgoNxq1XLt+n3lPhIT4dNPYeZMmRswfbqUNjmJyyz73deyrBM2my0YWGaz2faW5SAxMTEVHJZSSrmOAwc8adjQTmCghTu93J06dcrZIVQ7oaFyGzVK7sfEwNixssDEmTMenDnjgb9/JqmpNgYN8iUx0caFCx4kJ6cTE5NBbGxNzp/3ICMDzp61ExOTxKZNfqxd60Nmpo2sLOjUKZ7Dh714770AMjNtZGbCww8nMWxYGmPH1r94zN6905k16xwTJ9Zm505vGjSwExycxQcfxLN/vxeRkV6EhmbRrFkmdepYOnFS5ZGaCitX+hIamkWTJlmsX1+LN99MpmfPDGw2nPZa2Lhx4xLt59DuHDabbRJwAXiIMpZz/P67rAY1erSuBOUKUlIu3Tw9pU4pI0NGLfTFUqmSsSzo2RNeflkSo7S0NE6fPk3dunXx9/d3dnh5HD9+nFmzZuXZ5unpycSJEwkICCiwf2xsLHa7nUauUsToIK78HFaG2FiIjpYe52fOwJ13yvv1xx/D4cNyW7hQLtH/7W/QqhV07Cgjja1bOzt65WinT8Nzz8GCBdC1K7z6qlNHnQvj/JFom81WE/CwLCsx+//DgH8BPwH3AG9l/7uwpMcMCIAVK+SHP3iw1MoEBV3+cap00tLgyBG5vGcYsurWX/8qL5CxsXDHHfDaa/LGHx0tM2Vbt5Y6phdfhP/8Ry4pNmkC8+fLMSMioE8fudyolLpk3To4f16WjDZNk99++42MjAw8PT0ZMGAA/fv3d3aIF+3Zs6fAtqysLCIjI+meq1FrUlIS8+bNIyoqCoCGDRsybtw4gqrBC/bWrVv57bffSE9Px9PTk/79+zPAxTKEihYcLLfchgyRWw7Lkkv2d98t7y1//CHvHa1aSY/fxo2hUycYOFDKSVTVcf48/Por/Pwz3HorXH89XHkl/Pvf0LSps6Mru0odibbZbC2BH7PvegFfW5b1us1mqwd8B4QCx4DRlmWdvczh8gQaHw+LF8Nf/gL//S8sXQo33yzLPTZoUNHfSdV14ADs2CH/HjoknQG+/hoefFAuF7ZqBW+8Ae3by2zxhg3l1rhx8b0ZU1Ik2Y6Kgh49JIF+5hmZNNWmjYxO9O4t++qItarubr1Vko2xY8/w0UcfFfj6/fffT7NmzZwQWUGrV69m5cqVBbaPGTOGDrmKuefPn09ERESefVq1asVdd91V5LEty+LYsWNkZWURFhaGp6dnxQXuIOfOnePDDz8ssDT6vffeS1hYmJOicm2WJe8/O3fKLSAAnnxS3t/PnZP3kF69HLucsyofu11yi6ZNZRJsz55wzTXyHN58s+QQLs41JhZWoCIDPXtWErwFC2DZMplskZIiq0P17w81azoyTNdhWfKzycqSEYJ335UXqAMHoH59ubQ2aRJs3y6jyK1aXVqeNmciSUVLT4fNmyWRjo6WEe0JE+Dee2WCilLVUUQEtGwJO3duYunSpQW+3r9/fwbnLM3lZAkJCUyfPp3U1NSL2+rWrcuECRPyJL1vv/12nn1yvPLKK4VORExISGDOnDmczu7jVqtWLe644w4aOnhKfnlt2bKFJTn96XLp27cvQ3IPy6rLOnkStmyR94yoKJlAOW2aJGcDB8rl/yZNnB2lAskbQHKMSZPkKkO9evDJJ9Cvn+RkbpaLOb+cw1Hq1oW77pJbejr4+MgT+MYb0haofXsp+2jTRj7ttmtXdWYTp6RIjXhOzdnIkeDhIZeFDx+WOuWXXpLVfby95YXngQfkZwHyy+5IPj7yBwWS2H/yiSx/O2mSXOa5+mrHxqOUs/30k/ze16xJoTXFUPR2Z6hVqxb33Xcfq1ev5vTp0zRr1owBAwYUGDUOCAgokETXrFmzyE4ey5Ytu5hAgyTVP//8Mw888EDFfxOVqKjnKrCSllWryho1kveym266tG3IEGl79t13Ult94ICUHu7eLQvVVLPSe6fav19W3dy4UUo5f/sN6tSBW26Rks7cZRpulkCXWJUYiS5OSoqMtHbsKJ9kb70Vjh2TUZ9XX4UxY2DuXClRyJnxXKNGRYdeeunpcgkkJkY+4RkGzJkjv6gxMfIJfcMGKb14802ZrNGihfRSbNECdu2Sf+tcrnGgi4iKkqR65Ur54PP0067xPChVmc6dkytAO3fKiFpmZiYzZswgLu5iW31q1arFY489Rg03+4PYvn07Cxfmne4ydOhQri7ik/K7775LcnJyge0vvvgi3m406pGVlcWMGTPyfCAIDAzksccew8/Pz4mRVT05y6SvWSM91v/4QxK3H36Qntrp6TpnqqIcPw5r10rCHB4Oy5dL0rx0qZRm9u0rOUcVUn3KOUorNVVKPYKC5A/t/vvlk+yxY1LoPn++1GP9+adcjqhXD2bMkGQ8ZyJEjRqy0lTdupLY2mzyB92smSTsa9ZAQoLUBXl6ShH9xo1yS06W5P6JJ2QW8/PPy5vpuXMyee+RR+ScOT08Bw+G996DH3+UiX2NG8v27t3l2FXJgQMyar5vH3z2mY5Mq6rtnXckgf7yy0vbkpKSWL9+PSdOnCA4OJi+fftSy01rnSIjIwkPD8dut9OlSxc6d+5c5L6ffPIJJ06cyLOtZs2aPPPMM9jcbOJEcnIy69evJzo6muDgYK6++mpq64zqSpeZKf2zO3eWXtojR8qV6MGDZZ6PdgEpmRMnJFEOD5de4e+8A6+8IoNzffpI0tynT+WUfLoQTaLLY/9++eR19qxMYnzgAZlB//33koSnpspoaXAwjB9/6RPxyJGSCD/2GBw9KqUVISEy+XHhQuks4ucnt0cekUR5zRoZMQ4KkpHwOnUuHa86siwZSZg1SyaPVtefg6raLEve4L/6SibdVHf79u3j22+/zTMh7/rrr6dHjx5OjEq5s7Q0SaZXrJCr0LVry/v14MFw7bXyd+fj4+woncey5CpweLhcAW7aVPKS4cPla927S8Kc04+8mtEkWrm/xER4+GF4+235gKFUVRIbW7AtWHUWFRVFeHg4WVlZdOnShVatWjk7JFWFpKbCqlWSVC9fLgn13/4GH34o5Qhdu1a9q7s50tNhzx658hURIbXl11wjo/OdO0vCPHSoy/VqdqbqM7FQVV0BAfLH3bOn1H+7SIMCpcpt6lTpTqMuCQkJISQkxNlhqCqqRg0ZZR0+XO5b1qVOXv/9r8xsSoEtAAAgAElEQVQ3eu45KbFcvx6aN3fP7h8xMTJnKidhfv11Kcu4+2644gpJmhs2lFH4Y8ecHa1705Fo5RZWrZLuK9u2aR9w5f4OHpTLpMeOSWmXUsr5Tp6UpLpFC/mA+9tv4Osr5QwffyxzmjIyoEMHaRPrDJYlTQeSkyEsTLqUrFwp84mOH5cuJd9+K4NOOQnz8OG6wnMZaDmHqlouXJCR6XXr5NKbUu7q73+X+RLvvOPsSJRSRbEsaRV79qx0yJoyBebNk7IIT09Jutetk4Q1JERGrUeMkBKt7dulBrtWLbnVrCkJOlwqGfHxkQYEZ89KqUlysiToCQnSSODsWWk+cN11MGyYrOZ48KAca9QomTc0d640JWjdWlrXtmyp84gqiCbRqupJSZEXszFjpEWhUu7Gboe2bWVhqCrWEkqpasGyJLmtX19GgJcvlwl6J05IjXXDhtLbOj5ebuPHy2JnvXpJ16+sLJnjc/AgvPWWlJLUqCFXpb77TpLgd9+V0eO6daV+uVs3SegbNgR/f2f/BKoFTaJV1XTqlDTVv+MOePllZ0ejVOmlpcllYqWUUi6pREl04UtHKeXCGjaU2dXHjkl9mlLuwrLgqaekNKng1yyOHj1KZGQkGfqLrZRSLk9HopVbO3ZM+lvecouzI1Hq8jZulAmykZFSE50jKSmJOXPmcPLkSQBq1KjBuHHjCAsLc1KkSilVrelItKr6kpPh0UdlFrVSrm7GDFnMwCPfK++qVasuJtAAqamp/PTTT1TEIEdCQgLh4eFERkZit9vLfTyllFJC+0Qrt9a+vaxueOut8Pvv0KWLsyNSqnBZWbIy2NtvF/zakSNHCmw7e/YsCQkJ5VoueseOHSxcuPBi8hwcHMw999yDv85MUkqpctMkWrm9fv1g2jSZGa1JtHJVnp7S9qqw9lN16tQhLi4uzzYfH59yJbsZGRksWbIkz+hzbGws69evZ8iQIaU/oGVJ760ZM+DQISnsHjQIHnhAVnNISpJPtd26SYNaF5KUlMSxY8eoXbs2Tdxx9QyllEvScg5VJYweLb00v/1WRvyUcjX33Sd9ZQvTv39/PPOtN9yvXz+8vb3LfL7Tp0+TlpZWYPvx48dLdgDLkmXPnn5amtd+//2l5rhXXCF/cN26yb4tWkh/rl9+udR78ssvpXdXUd+0g/z555988MEHfPfdd3zyySfMnTuXzMxMp8aklKoadGKhqjIyM6Uhfe/e8MYbzo5GqUu2boXbb5e+sPnroXPExsYSHh5OWloaHTp0oG3btuU6Z0pKCu+//z5Z+T5Vdu/enZtuuqnoB6alSdubyEgYO1bWCr7+eujevejgC7N0KXz1FSxZIn+Y33xTusdXgNTUVN5///0CSfPw4cPp1auXQ2NRSrmVEk0s1HIOVWV4eclI9FVXSYnH9dc7OyKlxCefSNVDcTlkcHAww4cPr7Bz+vn50b9/f1atWnVxm7+/P32LWu7Tbpel115+WVaAGDsW9u0re+I7fLjcEhNlRNvDA958U5Z2GzcOyjHKXlJRUVGFjjofOXJEk2ilVLlpEq2qlAYNZPDrm280iVauwbJkVbNXXnH8uQcMGEBoaCiRkZHUrFmTrl27EhAQUHDHtDTo318S3a++kv9DxawfHBgoI9EgS7b9+9/w2muy5vmtt5b/+MWoU6dOqbYrpVRpaDmHqrKio6FxY4dfQVbKfWRmyihx//7SxLpXr4pJnC9nxQrYuxcmTJBm76GhlXaqWbNm5akD9/DwYMKECdSrV6/SzqmUcnvaJ1pVbw88AP/5j7OjUNXduHEyEu1y4uJg6FCYPFlKOXr3dkwCDTB4sCTQ58/LeSdOlLKPCpaSkkJMTEyebXa7nQMu+YQ4T2JiIlu3bmX37t066VKpUtAkWlVZ06ZJfhAZ6exIVHUVEQFr10Lz5s6OJJ/9+6FHD0lglyxx3uWaoCD5IcXHQ+fOsGtXhR4+Ojq6yJpoJfbs2cPUqVP5+eef+f777/n4449JSEhwdlhKuQVNolWV1aoV/POf8NRTzo5EVVezZsG998qkV5eRlQWNGsGUKTLRL19rPYerVw8+/xxmz4aWLWUy4/nzFXLounXrFrpda6JFVlYWS5YsydPB5dy5c/zxxx+F7h8bG8vOnTs5e/aso0JUyqVpEq2qtL/+FT791NlRqOrq7Fm45x5nR5HLggUwZAgEBMCoUc6OJq+BA6XX9A8/QNeusHp1uQ9Zt25dunbtmmdbzZo1tTNHtvj4eC5cuFBge1RUVJ77lmWxaNEipk+fzg8//MCHH37I8uXLHRWmUi7LlcZHlKpwHh4y6HbvvTIq3bKlsyNS1cns2c6OIJd586T2ePFix9U+l8WLL8rSo2PHwj/+IYu9lMPIkSNp2bIlBw8epHbt2hiGQWBgYAUF694CAwPx9fUtsChPcHBwnvsHDx4kPDw8z7a1a9fSqVMnGjVqVOlxKuWqdCRaVXk2myy49sQT0m5MKUd44AFYt87ZUWSLiYFnn4Xff5dG6q7uxhtljfRBg2Thl+joMh/KZrNxxRVXcPPNNzNo0CBNoHPx9vZm8ODBebbVqFGDa665Js+2o0ePFvp4rS1X1Z22uFPVQnq6XCF+4w24+WZnR6OqutOnoU0b6d5Wq5YLBNOgASQlQc2aTg6mDFatklHpL76AESOcHU2VFBUVxZ49e/Dz8+PKK68s8EFj27Zt/PTTTwUe95e//KXcK2sq5aK0xZ1SOXx8YPr0SumipVQB33wDN93kAgn0rl1wxRVw+LB7JtAgtdL/+x889JCspug+Az9uIyQkhKFDh9KvX79CR+o7d+5coMQjNDSUNm3aOCpEpVySjkSrasWyZPJ/+/bOjkRVZa+/LkvPDxjgxCDOnpU2dpMmwd13OzGQChIbK8n0hAlS4uGAZcPVJWlpaYSHhxMbG0uTJk3o2rUr3vocqKqrRCPRmkSrauXMGWjXThZna93a2dEoVYn+8Q9ZROX9950dScU6dQquvlra4uWr3VVKqQqiSbRShXnjDQgPl0EtpSraCy9IBcUddzgxiJQUaU3j6eliTaoryNKl0nLn6aflw4IrdxtRSrkjrYlWqjBPPQWbN8OmTc6ORFU1GRkyQNqjhxODWLAArr8efH2rZgINMHy4/BFv3lxhC7MopVRp6Ui0qpYOHpSlmJ29WJuqWhYtgrfflqW+nSI6Grp3l0S6Tx8nBeFgdrvUfD/9dJna90VHR7Nz5068vLzo2rUr9erVq4QglVJuRss5lCrOsmVy1XvkSGdHoqqKuXNlvtuYMU4KYMQIqRd+5RUnBeAk330Hjz8OkyfDww+XuLxj+/btLFy48OJ9Ly8v7r77bkJDQysrUqWUe9AkWqni/PGHlFXu2yct8JQqD8tygdLcnTtlZaHqeIll3z64/XaYObNEo/B2u50pU6aQmK/vZYsWLRg/fnxlRamUcg9aE61UcQYMgLZt4bPPnB2JqgqmTYPXXnPSyXftgpdegs6dq2cCDdJ2JzxcEuhvv5WkuhhpaWkFEmiAuLi4yopQKVXFaBKtqrXJk2H5cmdHoaqC2bOdVIaclSVrjDdr5oSTu5icvsVJSdKo+7vvitzVz8+PBg0aFNjeTH+OSqkS0iRaVWs9esD33+siaKp89u2DqCi49lonnHzqVPDzk1pgJe6/H379VfoNzpxZ5G433HADvr6+F+/Xrl2ba53yJCql3JHWRKtqLzFR1mxYvRoKWfFWqctatw5ME5580gknf+01uPNOXT2oMPHxkJkpI9NnzkC3bgV2SU1NZf/+/Xh7e9O6dWu8qmpbQKVUaejEQqVK6o47ZIGMF15wdiTK3eS8hDp8UqFlwd69MpFQFe+33+Cuu+C556RRvIdehFVKFUsnFipVUi+/DFOmyICVUqWxcSPceKMTTjx/PowdK32SVfGGDZPVlebPd2L/QaVUVaPXrZQCOnaEZ56Bc+egZk1nR6Pcydy50Lu3g0+alCQjql99paOqJdWihfS13L1bRvE3bJCe2kopVUZazqFULufOgb+/rJis1OVkZEDTpjIa3bKlA0/8+uuSDM6d68CTVqzU1FR27NhBYmIibdq0cewCJ6dOQd++0k5l6lSoW9dx51ZKuQOtiVaqtEaPhsGD4bHHnB2JcgcnTsB778H//Z+DT5yUBKmp4KZLVCckJPDZZ5+RkJBwcdvAgQMZMGCA44JISoIXX5T2PGvXOvhTkFLKxWkSrVRpbdgA48bBgQOXWs4qVRSnrFL40kvw4INSnuCmfv31VzZu3Jhnm6enJ0899RQ1HV1PtW0bXHml/PG3awf16zv2/FWAZVns2rWLw4cPExQURPfu3R3/PCpVsXRioVKl1aeP5Cbff+/sSJSru3AB2rSRAWGHWb1aSjgaN3bgSStebGxsgW1ZWVmcOXPG8cF06yZ15StWSIueb77RxvGltGDBAn744QfCw8NZsWIFM2fO5MKFC84OS6lKp0m0UvlMmQI9ezo7CuXqFiyA9u2hRg0HndBuh7//Hd54w4EnrRxNmjQpsM3b25vg4GAnRJPtlVeke8dbb0krPFUip0+fZseOHXm2JSQkYJqmkyJSynE0iVYqn65dwcdHVqFTqihz5sgaJw5z4oTU7Y4b58CTVo4+ffoUWHJ76NCh1HD2h4M+fWDrVmnVc/YsTJ4MKSnOjcnFFXX1wClXFZRyMG1xp1Qhli6FRYvkplR+djuEhsLIkeU7jmVZ7NmzhwMHDlCrVi26d+9OrVq1Cu6YmQmNGsG8eeU7oYvw9/fnkUceYd++fSQmJtK6dWvqucokSS8vaNgQYmNhxw7o3Fk6eNxwgxMK4F1fSEgIHh4e2PP1Kw8LC3NSREo5jk4sVKoQKSnQvDmsWqULwqmC7PaKac+8ZMkStmzZcvG+v78/Dz30EEFBQXl3nD5dJsDNnFn+k6rSWboUnn0Wfv4ZmjXTRLoQmzdvZunSpeTkE61atWLcuHG6hLpyZ9qdQ6nyeO01uYI+Y4azI1GuZsAAGZzs2rXsx4iPj2fq1Knkfw3u2bMnI0aMuLQhJUVmMP74I/ToUfYTqrLLacOSu8yjadMid09LS2Pz5s1ER0cTHBxMr169qny3ioSEBI4cOUKdOnVo1qxZhR7bbrezdetWDh06RK1atejVqxd1y9HbOzIykoiICDw8POjevXu1HDXftWsXu3fvxsfHB8MwaFrM77MjREZGsmPHDjw9PR3+nJw6dYotW7aQnJxMu3bt6NKlCzZbyT4taxKtVBHOn4e0NLmyq1SO/fuhf3+IipIr/2V15MgRZs+eXWB769atuTN3sfWUKbByJSxcWPaTqYoRHy8TD2fOhH/8A55/vsAudrudTz/9lJiYmIvbgoKCeOSRR5xf8+2m/ve//7Fr166L9319fXnooYfKVAK0efNmfvnllzzbRo8eTceOHcsdp7tYtWoVf/zxx8X7Hh4e3HnnnbR0Uq/0TZs2sXTp0ov3bTYbo0ePpoMDLgOfOHGCzz//nMzMzIvbsgcytMWdUuURFCTrMcyf7+xIlCuZO1fm9hWWQF+4cIEff/yR9957j5kzZ7Jnz54ij9O4cWN8fHwKbC8wAtOlC7z5ZnnDVhWhdm15LsLDLy3O8u238ok72/79+/Mk0ADnz58nIiLCkZFWGWfOnMmTQIOM9G/atKnUx7IsizVr1hTYvnr16jLH524yMjLYsGFDnm12u521a9c6JZ7CnpOinqfKsH79+jwJNFCqzjKaRCtVjMxMePRRnaCvLqlVC+69t/CvzZ07lx07dpCUlERMTAzff/89R48eLXRfX19fbrjhBjw9PS9uCw0NpWfu/oqmCVdfDdVolMwthIXBmDGQlQW//gqtW8Orr8K5c8THxxf6kKK2q+IV9XPLvdplSWVlZRXav7o6PTepqamkp6cX2O6sn0FmZiZJSUkFtjsqnsLOk3+SbHG06l+pYrRtK2Wo8+bBffc5OxrlbHY7PP104V+Ljo7m5MmTebZZlkV4eHiR9X1dunShZcuWHDlyhMDAwLz7xcfD9dfLAivt21fUt1CsjIwMVq9ezb59+/D396dPnz60a9fOIed2S56eMGsWHDwIr78On39Oy7vvpmZiIkmBgXl2bdWqlZOCdG8hISH4+vqSlpaWZ3tZSg+8vLwICwsr8MG2Oj03gYGBBAcHF1jwyFk/A29vb0JDQzl27JhT4mnZsiVRUVF5tgXm+9stjo5EK3UZTzwBX33l7CiUK3j6acmZCpP/kmCOrKysYo8ZEBBA586dCybaU6bA8OEOS6ABfvzxR9auXcvp06c5evQo8+bNY//+/Q47v9tq1Up+MZ5+mvopKUycOZPbf/iBJlFR2Gw2+vTpQws3XqbdmXx8fLj55pvx9fW9uK1jx45cddVVZTrejTfeSJ06dS7eb9iwIcOGDSt3nO5k1KhReRLFkJAQBg0a5LR4brzxxjwdiRo2bMjQoUMdcu6+ffvm+UDm5+fHLbfcUuLH68RCpS7Dbpelnf39nR2JcqaMDAgJgXXr5Op9fna7nQ8//JDzuepjAcaNG1f60dzkZCkZ2LCh8JNVgoSEBD744IMC29u0acMdd9zhkBiqjPh40qZPx+Ojj0h/5x1qjhkjNWGlGOFSeaWnp3P8+HFq165N/fr1y3Usu93O8ePH8fT0pGnTppSwEUOVkpWVxfHjx/Hx8Sl0BVFHc+pzYlnErV9Pks1G0549c1oz6sRCpSqChwecPAnvvOPsSJQz/f47tGhRdE7r4eHBHXfccbG9l7+/P9ddd13ZyiH8/WHTJocl0ECBy+WX266KUbs2vs8/j/fRo9QcPVpWQQwNhQcflPKcUtRcKuHj40OrVq3KnUCD/K2GhYUREhJSLRNoAE9PT5o3b+4SCTQ44TmJjoYPPoCePeGHH6h/1VWENWtW6t7mOhKtVAnEx0sCtWsXNG7s7GiUMyxeLN1axoy5/L7p6el4eXnhUZYVWVJTpZTjueccvrDHxx9/zOnTp/Nsu+666+jdu7dD46iSYmJg9mxp7zJliky22L8fune/+DxblsWmTZvYvn07NpuNbt265Z1oqpQqu5Mnwc8PjhyBQYNg1Cj4y19g8ODC2i1pn2ilKtKECRAcDJMmOTsS5Wh2u+Q5DslpZ8yAn36SrN3B4uLimD9/PjExMXh6enLVVVdx3XXXle3DgCqaZckKlGPGSJ3QjTfCk0+y6sSJPP17Aa699lr69evnpECVcnPx8dKGct48aU353XcwZIj83eWqsy+EJtFKVaRdu+Dhh6UmVlUvc+fKVfiyrF6ZkJDAmjVriImJoWHDhvTv37/gst45MjOhXTsZsXRi4pSQkICvr2+eyVyqElgW7NkDixbBTTcxY/ZsBs+fz5HmzTnSvDkxjRsTEBTE00W1hFFKFXTunKzwOmCAtKF85RUYOxZGjJCR6JLRJFqpima3S420ql6uvx7uugtKO78uPT2d6dOn55lsGBgYyIQJEwpfvW79enjpJVmhUFU7b7/yCs3376f5kSOEHTlCePfu7OjXj+eTkmTRHcOQujJ9EVKqoMhIaaG0Zg1cey289hpccUVZj6ZJtFIV7dgx+bv87DNnR6IcJTZW+oVHR0PNmqV77Pbt21lYyHLdN9xwA4ZhFP6gzMzyrSeu3Nb8+fPzrmxoWVzVuTM37tsnC+9s3QpDh8oL0Guvyaf6sDBJrAcNkkvUXl4Or6VXyilOnYKFC2VZ4Zdflnagv/4KI0dWRCecEv0R6Su1UqXQpAksWwbbt0PXrs6ORjnCmTPw4oulT6ABkpOTC91e2ApdLF0KERHwj3+U/kSqShgxYgRpaWlERkZis9lo36EDQ2+6CW6//dJOOX3Hu3SRGs/Vq2XkbdAg+Oc/4d13ZXnyoCBpKZOUJFc3fH3ldued0n/8hReknMTbW7rA3HMPLFkCBw7INm9v2XbiBGzeDD4+sq1bN2jYEPbulXMEBcklck3clSMcPSqTkzZuhFtukRKN+++XN+SAAPn9diAdiVaqlP71L5loP326syNRjpCVJQvTlcWZM2eYNm0a+V9nH3nkERo1apR352uugccek9niqoCoqCjWr19PQkICrVq1om/fvvj4+Dg7rEqRnJyMzWbDr+T1m5dkZMhkqvPnpa1efLxM5EhLk1v37tC5M/znP5JgZ2RAs2ayJOvs2TLinZEht48/lgR66lRIT5dtzz0nx+jVS85x7hyMGwdffCGTRmJiZLShRQt4/nlJwnOarJf1D0lVb1FR8rs5f75cDl66VMo07HYorCyuYrh2OYfNZhsOTAU8gU8ty3rrMg/RJNoVpKfLJ8HTp2UkJClJZr3mjI706SO3efNk5CI4WEY58icMbiw6Gh54AH75RQdfqroDB2SwY8eOsj/X4eHh/Pbbb6SlpeHj48O1115bsG2ZacKtt8KhQ1rKUYiYmBg+++yzPKs/tm7dmjsdPOqkipBTghQRAYcPS+KclATPPCOjDa+/DnFx0Ly5dJ2pUQOWL5dEqEOHykyElDtKSYFVq+R35ZVX5Hdq7ly47TaZcO2Y10jXLeew2WyewDRgKBAFbLHZbD9ZlrW7qMecPXuWFStWEB0dTXBwMIMGDSo4klMIy7JYv349f/75Jx4eHhf7blbXBusldvy4zBrfv196K/7739Lb9PnnZZShYUP4/HNZFCLn8h9AQgIAmatXE7d9O1ZMDBlBQaR++y1tf/xRXlx795a6vgpomp9bfHw8K1as4NixY9SvX58BAwYQEhJSoecAaNpUPgirqu/rr+UqeXleLrp3784VV1zB2bNnqVOnTuGjp3v2wLPPagJdhM2bNxdYPv3AgQOcPn2aBg0aOCkqtX//ftauXUtiYiKtWrVi8ODB+OWfyPXYY3JLTpZkKCQEDh6UF9F335X3j08/5fSQIUQ99xz7a9fG0zC4ZvhwfW6LsHnzZsLDw7Hb7XTp0oWrr77a/dtQnjghucW8eXJFo2tXuOEGeU3s3VtuLsgpI9E2m60PMMmyrOuy778AYFnWm0U95v3337cuXLhw8b6vry+PP/54nvXfC7NixQrWrFmTZ5v23URq4XImoXz2mSTLkZFyCe6DD6TG6OhRaNNGWm5NnCgjCz4+cruML7/8ksOHD1+8b7PZeLBbN5rs3SuXFsPDZdTt8GGoU6fcCXVWVhbTpk3j3LlzF7d5e3vz6KOPUrdu3XIduzBHjsATT0g7X/08VjVZlvzqz5kji1pV6on0l6hY33zzDZGRkQW233vvvYSFhTkhInXs2DG++OKLPKVKYWFh3HvvvaU7UHo6KYmJzPj4Y65etIim0dEEx8ayZcAAui1ahN/69TJhrGnTiv0G3NT69etZtmxZnm19+/ZlyJAhToqoHHbskB7OixdfGrjz9JTXw0p43y4l1x2JBpoCx3PdjwJ6FfeA3Ak0yFK006ZNo3fv3lxzzTVFfgrbsmVLodtcIYk+cuQIK1as4NSpU4SEhDB06NASja6XVFRUFGsWLCBj1y48unRhSJcuNJo6VRLm/ftldPmpp+DPP+UF6u67pVYOYNasggcMCCjReePi4vIk0CBXBNalpjL6H/+QiVM5haaLF8vqJddfL7H06FGm7/XAgQN5EmiAjIwMtm/fzuDBg8t0zOKEhsLu3VIu2KvY31zlrpKS5NeyjL+SJTdpkvz9PfxwJZ/IfbVr165AEl2zZs1KudLkKg4cOMDKlSuJi4sjLCyMYcOGVciS1xXFNM0Ctf5Hjx7l1KlTNGzYsNjHxsfH8+uvv3Lo0CFq165NSEgI8XY7v9xwAwCeGRn4pqXhvXMnPb74QiY81q0rfSZffVVqu6tpD/PCchrTNLn22mtd+wq73Q47d8rM/E2bZMQ5MlIGEaZNkzdSN7wS56yR6NHAdZZlPZh9/26gp2VZTxT1mJiYGK2JLoLt3Dm8Dh/G88gRPE+dIumxx/D7+mtqTZ4MdjuZLVsSP2UKWfXr47tqFVktW5LZogVW7drODh2Q+P3+9z9qLF3K2e++w5aWhuXv7+ywLuujj2py4IAXU6bEOzsUVQnKM6GwxFJSCO7ZkzMLFpDVqlUln0wpN2W347V3Lx7nzpHety917rwTz9hY0gYNIm3wYNJd9FJ/decRHY3X/v2kDxxIrWefxXfdOtKuuYb0/v1JHTbMpZPmxo0bu+7EwrKUc0yePNnKysqiXlwc9eLiSK1Rg7QaNThTty4169Vj4sSJ4OFBREQEGzduJDU1lfbt2xMfH8+uXbvyHKtr1674+voSGRlJzZo16dOnDx07dqyU73Xv3r2sX7+eCxcu0KZNGwYOHMiOHTtYs2ZNoW2uRo0aRdfcvdMsC86eBU9PTqakcOzVV7EdPEijpCTqd+9O1FNPYbvnHgKjosgKC6NBnz54v/UW5rJlrFy+nGR//zyXikeMGFFgUlN4eDhbtmwhIyODjh070rdvXzZs2MDOnTvx8vLCMIw8PW23b9/O5s2bSUtLo2PHjgwYMACvXH8MlmXx0Ucfcfbs2eK/t6IMHSq9T995p8AlnePHj/PHH38QFxdHaGgogwcPJjo6mnXr1hETE1PgUPfddx+hoaGFniYhIYEVK1Zw5MgR6tWrx4ABA4rctzCxsTJ4PmeOXo2vajIzpTf0hg1S/l9pPvlEaoIWLarEk1QdycnJXLhwgQYNGrj2qFs5LVu2jPXr1xfYPmbMGDp06OCEiArasWMHP/74Y55tQUFBPPHEE8XW5x49epQvvvjissf38PDg8ccfL7wcLzNTRjN/+UW6NXz5pbwQp6RIy7MqfIViyZIlBUajO3XqxO252yA6g2VBYiLUqiWTAb/+WuZIjRoFn34KqalFTiC12+2sXbuWiIgIPD096d69O126dGHFihXs37+fwMBA+vbtS7t27Rz5Hbl0OccWoI3NZmsBRAPjgGLXAhszZgyLFy+m3t69dA8Pp0ZqKjVSU1k4ahQ+mZng7YsLChMAACAASURBVE2Wvz/NPD2J6dWLDVdfTd0XXqCNnx9d/P055OHB5j596OflhffSpUSfP08db2+OhYay4OBBag4aRFjHjjJRLiDg0kS5cjh48CDffvut3LEsNm/eTNSff5J08iT+GRkEZGVxqnFjGkdHE3bsGH4pKTTduVNqkuPiZCbqiRPg60vqv/7F7JQUBv75JxcCAjgaEkK8ry/R33yDdd11F88ZEhLCAx4eXPD1JbmQxrZpaWl57m/bto1Fud7A16xZw549e4iLi7u4bfHixViWRY8ePfjzzz/zLB6RM6nk5ptvvrjNZrMxduxYFixYQExMDD4+PvTq1atkCTTA//4njdM7doT//heyj3327Fm+/PJLMjMzAYiIiODQoUOFfhjx9/dn0KBBRSbFdrud2bNnX0z04+PjOXbsGI888kiJL5kGB8uEYffpEqlKavlyKdOv1AQaZKj72Wcr+SRVh7+/P/5ucJWqvOx2e6HbXaklbZcuXThz5gwbN24kPT2dRo0acfPNN192gltR31toaCjnzp0jMTGRwMBArrvuuqLns3h5Qd++cstRp46Ufbzwgszt2bhRkrjAQJce8SytIUOGkJKSwq5du7Asi7Zt23JDdhmMw1kWzJwpnTRWr5bJfz/8AIMHS9vDDh0ura5ZTAeWZcuWsXHjxov3f/nlFzZu3HixRPP8+fPMmzeP8ePH06JFi8r8jkrNKb9ZlmVl2my2vwK/Ii3uZlmWtau4x7Rt25Y2bdrwww8/MK99+zxf69u3L7zxBt/OmEFsZCSZ2QnwnvbtCUhOZkSfPrQICGDgffeRNWsWh775hgYZGfikp3PyttuoHxdH3bvvlje05GR4+2146CFpWO/hIX+Aw4bJJ6uHHpIleb28ZP+ICPmleeUVuf6blQUzZsCVV9Lkqqv4R3o63hkZRHTpwqKRIxn8ySfUO3OGdB8f4mvX5uu77qJWYiJB58+TFhBA7T59pNarbVv5lN20KdSsybYNG0j97TeWXn99/h9mnrtRUVHExMQUOUqTf3th9VW5E+jc+/Xo0QPTNAt8LSIiguHDh+dZxjg4OJiHH36YpKQkfHx88C7Nh5LateHDD2H8eKmjysiAtDS2bdt2MYHOUeiiFcADDzxQ7ITCgwcPFhgpz8zMZNu2bQwdOrTEoR48KGV669fraHRVMneuA3r2JyXJBF6l8rniiivYtGlTnqTZz8+P1q1bOzGqggYNGkT//v1JS0ujZglXIwoLCyMoKIjz58/n2X7NNdfQokULkpOT8ff3L323iRtukFtW1qUJah9+KF2lhg2TCQ5jx7p9LbWPjw+33XYbN954I3a7vWy9xMsiI0OaAmzcKJfoeveWDyzHjsnPd/JkaNlS9h00qMSHtdvtbN26tcD2/HOcALZu3apJdA7LspYAS0rzGJvNxsiRI/H29iYiIuJiy7pBgwaBpydJ3t7E16lzcf+DbdoAMPChhwgKCsIbiL39duafPp3nuMcCApj/9tvcc889uQOUhsBZWXLpKKc48t//hgsXZFtmpiTZQ4bIhDxPT7k1agQ1arBk8mQOHTtGhrc3GdmfhOeMH1/g+9rXvj3xAwcyfPhwfHLPNG/b9uJ/MzIySvxzSk9Px7OIYs78L0zp6eklPmZR+9vt9gLJbY6SvrAWKmdG1/ffwyuv4DtxYokfmr8dVn5F/TxL+vPI0bKlrDewZo2slaGqhrAweb+tVKNHy4fyW26p5BMpd9OkSRNuvfVWVqxYwblz5wgJCWHEiBEuubiMl5dXnnK+y/Hw8ODOO+9k8eLFHDlyhMDAQAYMGECr7DkBASWcwF4kT89LE+T/+U9p6r90qQxKjRsn/27ZIkl19+6XRkrdjG9lfhiwLJn0t3Gj3G67TZLml16SCYB33in9mkF6gJdDcflDfqV9f3YEt7vG4ePjw6hRoxg5ciSQd2S1U6dOnDhxIs/+TZs2JSgo6OL94OBgGjRowOl8iXSnTp3ynshmK3zt9cK6Z9SpI7d8Wvbty84zZ/Jsq1GjBqmpqXm2dezYkdGjRxc8bi4dOnRg1apVeUYmbDZbgct7tWvXplmzZgQGBrJy5co8l848PDwK1NN16tSJ1atX59nm7+9fYLnilJQUFi5cSJs2bYiNjc3ztdDQULZu3ZqnnqlXRbasGD0akpPp88wzHB4xgkO5RmM8PT0LJMwNGzYstr/ob7/9VugIPBTye3AZNhs8+ihMn24nPX0Fu3fvxtfXl549e9KtW7dSHUu5hsxMGD9+P0uWrLm4Ot61115bsWUEhw7JG/kPP1TcMVWV0rlzZzp37ozdbnf/HsD51K9fn3vuuccx31vTppJIP/DApfvLl8uVzrNn5e+wVi1JHHPlCtXKyZPSdtY04cEH5RLr+PGX+jO3aiVlruvWVfipvby8aN++PXv27Mmz3dfXt0D5aWnfnx3Bc9KkSc6OoaQm5b5js9kKlCY0bdqU1NRUTp06hd1uJywsjFtvvTVPmQFAy5YtOXHiBAkJCXh7e9O7d2/69etX4RNVGjVqRFZWFidPniQrK4umTf+fvfsOi+Lc/gD+3aWDgCCKoFhQ7EREVCxYYyzEGk1ssURNjFHTk5tiEpP8cnNjcmO6MZbYYone2I2xRAUrNlRUFEEMIk06LNuY3x9HENgFts2y7J7P8/Aow868Awu7Z9457znNMHHiRCgUivKUifbt25fPrtfEzc0NjRo1QkpKChQKBTw9PTF27Fj4+Pjg/v37UKvVaNq0KSZMmAB3d3e4uLjAx8cHKSkpkMvl8PT0xOjRoxEQEFDpuC1atEBhYSEyMjIgCAICAwMxfvx45OXlVUp3KPs+5HI5OnbsiPT0dAiCgNatW8Pb2xunT5+GTCZDUVEREhIS4OTkpDGWUUJCIO3dG42vXMENPz8olUo0atQI48ePh5ubW/lzHhAQgKeeeqraW1zHjx9HVFSURl6eq6srHn/8cYP+SNu3BzZvvg2Vai9KSkpQWFiI+Ph4eHl5mbRkITOPJ56Q4eLFQ7CzuwO5XI779+8jOTkZoaGhphvk88+pW1td5TKyesOaF1DWyffm60vpBy+9RDOsLVrQTHVEBP175w7dBfbwMP+5iU0QqP/D33/THd7+/amj5IQJtN3Hh4rid+lCvSEmTKAgWsskoSm1bt0aWVlZePDgAaRSKYKDgxEZGYm0tDQUFBTA0dERffv2Rbh5q7As0eVBddb22wA6n6hSqYRKpao1V6i4uBiOjo563YoyhEqlgkKhqDSTJZfLIQiCRoBfm9LSUshkMri6upa/AKlUqmpz0rQ9XhuFQgG1Wl3pZ7Zz505cunRJ47EzZ86Ev78/VCoVnJyc8Pnnn2ukR3h7e2PhwmorFhpFfeoUVMeOwfHtt8u/J6VSCaVSWets4VdffaVRcxwApk6danC+YUlJCZYuXQqFArC3fxScN2vWDHPmzDHomKxuZGQArVsr8corS+HoWPl3eu7cufD39zfNQL/9RrdFuawdY5ahuBg4dowWyL3wAi3uX7CAAs2ePSnIFn2lsQmlpQFxcdTQQK2moHjOHEpn6daNUlnee+/Rui8LuFgrKSmBVCqtlLZkrjhNC4uuziEqBwcHnRaymWuVt7acMUPzmaRSqUawXFNOmrbHa6Mt1666CyylUln+M1ar1VrzmcTMXbJr0QJ2a9bQfff33weg+3NeXa60MeerUqmQkdEQmzdPwvz5P5an2OmTx84sw5YtQPfuqRoBNGDC5/P+fUq4Fr0INWNMZ66uVB5vxAj6vGlTKjJw/Diwfj0FmsOH08djj9GdpB49qD11XXQdVatp4b1cThWtyjoA9+lDbdbHjaMqY507P+oI9sMPFr2wUtukoqVX47HKIJqZRufOnREbG1tpm5ubG1q1alX+uZ2dndZ8pi5lCzvE0KwZzRgMHkwvCG++qfOu7dq10/ieyr4HQzVo0ADdu3tg69ZS3LnTGoGB1K1R1J8BE4WXF/D886W4fbvy9rK1Bibx1FPAu+8CTz5pmuMxxkzP2RkYMIA+yiiVVInr0iWqUFFcTEF0eDjlV7duTWXdvvmG8ofj44HGjWl9VY8eFGinpAAuLhTgNmhAH8nJdGylkoL1oCCqgx0fT2X6MjNpkeThw/RvWhp9lKVkHDlCYw8Z8mhB/qlTmt+TBQfQ9ZVVpnMw0zl16hSioqIgk8ng6+uLUaNGoVmzZpUeU1xcjF27duHmzZuQSCTl+Ux6lbUzRHo6lcbQowB7aWkp1qxZg5SUFAA0Az9x4kSjS0fl5+dj4cLrOH/eDZMn70S3bt0wfPhwq1sQZM3K3r8kEqqXfuLECcjlcvj5+WHMmDG1tjLWyaVLwKhRNGNkRbVrGbNpJSWUS52UBCgU1GBk505gxw4KgAsLgbVrKV9syhR6vFJJLcxffJFykGUyek2IiKDmJMuW0WI/d3fKVX7nHSAnh8bx9QX8/CgYZ2Kx3I6FBqo3J2pt1Go15HJ5rbdV5HI5JBKJ+cswLVpELzy1VDgBKEXlr7/+wrlz56BSqdC0aVOMGzcOTZo0Mfo08vKAZcuUePddiH8BwUzuww8BR0dKEwR0/73XywsvUDe1xYtNd0zGGGOmxkE0sxGXLtFq623bai3WfO7cOezdu7fStkaNGuGll14y2Urx3FzbrZRUXwkC0LYtsHUr0L27iAP9+Sfd/uWqLczCKJVK2NnZ6X33rLS0FGq1micOmLWx3YWFzMaEhFC1g2eeoYC6htvu165d09j24MEDpKenm6Qc3ZUrtJ7j5s16W8PfJp0+TbPQpqxip+HGDbrIs/CFMroSBLpzzWmW9VtBQQF2796NW7duwdHRET179sTgwYN1mlQ4efIkoqOjIZPJ0LJlS4waNQqNGjUyw1kzZhn4bZ5Zh8cfB3btAmpJy6iuKoqpuj916ULrRA4fNsnhmJkIAmVYiLbAXhAo3ej0aZEGEI8gABcvArduUUGA0FAqoWtvT+mdAJWT9fcHBg6k7KrSUvpglm/btm24desWAKpSFB0djTNnztS637Vr13Dw4EHIZDIAQHJyMjZt2lRtVSfGrBEH0cx69OhBCzHmzqV3fq0P6aGxLSgoCF4mKiYvkVDa688/m+RwzAzUaioDWxYQiuLsWVpMNGiQiIOYVnY2sHAhBceTJgGXL1NVvjVrgLt3aRa6rOHi+vVUTOC996iillQKfPwx0LUr8NFHtBaKWZ78/HzcvXtXY/uVK1dq3VfbYx48eIB79+6Z5NwYqw84nYNZl86dadrsxx+pI1UVgYGBmDx5MqKiolBYWIiOHTti4MCBJj2FqVO5BHB9sm8fLYbfuVPEQVaupLbDFtDQoDZHjtDvb69edGMnKoryxct07aq5j4sLEBBAH2UWL6alCps2AX37UjaLINCdGk51EodMJkNOTg4aN26sU45ydfnPujS2sKvmRa4OmmJYtOLiYuTm5ur8nLD6hX/bmXVxdgY2bwZ696Z37pCQSl9Wq9WIi4vDvXv3IAgCrl27hk6dOqF58+YmOwUPD2oMdfcudZRllm3Dhkf9FUTz/PNAy5YiD2Kc2Fjg7beBhARg+XL6UzKmiIidHfV96NOHqnXZ2VGVrt27gX/9C5g8mS82Teno0aOIjo6GWq2Gs7MzRo4cieDg4Br3adCgAdq3b4/4+PhK23VpcR8aGoq4uLhK25o1a2aStSXW4u+//8aJEyfKn5PIyEjuH2BluDoHs05//kn1o1u3rrT51KlT+Ouvvypt8/DwwMsvv2zSms4XLlBPjdu3edbNkuXn0+xpYiIg2nqoy5epGocJyiiKRRBo1njsWMqGEqtKpSAABw9SioeTE81614PJeYuXlJSEdevWVdomlUrxyiuvwN3dvcZ95XI5Dh8+jOvXr8PZ2Rnh4eHormOJmri4OERHR6OgoABt27bF0KFDdeqQW58plUoUFhbC09OzxveMxMRErF+/vtI2Ozs7vPzyy7U+J5ZOoVCguLgYnp6eJqtqZYG4OgezYcOHU+Hm5cuBefPKN9+8eVPjofn5+UhPT4efn5/Jhu/WjbrfHTwIDBtmssMyE8vLowZgohYUeOEFSha2wA6Fly/T979pE/DXX+IHtBIJBetDh9KFC0C509OnAxUaoTI9VZ1JBqj0XEJCArp161bjvk5OThg5ciRGjhyp97idO3dG586d9d6vvjp58iSOHz8OuVwOT09PjBo1Cm3atNH6WG3PiVqtxu3btxFS5Q5pfXLkyBGcPn0aSqUS3t7eGDt2rOm6udZDPEfGrJedHfDFF0CFutDVzZKYtKEGeIFhfdG4MfD666Y5VkFBAVJTU6FWqx9tvHqV8nqGDzfNICa0eTN1CR4/nlI3zDmhJJEAbdpQBQ9HRyAsDFi6lJq4GUsQBKSlpSE7O9v4g9UT1b2uWfussDklJSXh4MGDkMvlAIC8vDxs3boVJSUlWh9vjc9JXFwcoqKioHz4h5qdnY0tW7ZApVLV8ZnVHZ6JZtarQQNg9Wpg2jQq4OzlhZ49e2rk8QUGBsLT09Pkw0+ZUmPJalbH7t0DwsOpcoQxubmCIGDfvn04f/48BEGAm5sbxo4dS63kV64EZs2yuBbfiYmU73zokPaFguZiZ0f50RMnAvPnA82aGVclJSsrC1u2bEFWVhYAoE2bNpg4caLJSlhaqm7duuH06dMoLi4u3+br60u/g8wktPUYUCgUSEhI0Jrn3K1bN5w5c0bjOalu5ro+uH79usa2oqIi3L17F4GBgXVwRnWPZ6KZdRs4kOpznTwJAEhJSdF4SFZWFkpFKGrr7k4TkFVidmYhNm2i58fYxW2XL1/GuXPnyuvjFhUVYdu2bVAoFMDLL1OdOJHIZDLk5ubq/HilkqqQBAYC167VbQBdUZs2tIxh8mRqPPrJJ4Ahk1s7duwoD6AB4Pbt2zhy5IgJz9QyNWjQALNnz0ZoaChatGiBPn36YPr06SZd52HrnJ2d9dru7u6O5557Dt26dUOLFi3Qt29fzJgxo14/J9VdjFb3M7AFljU9wpgYvvyS/s3NLW8qUJEYOdFlrl2jDoaJiVyJwJIIArB2LfD998YfS1uevVwuR/r+/Qjo3FmU2xFqtRp79uzB5cuXUVpaCj8/Pzz11FM1dosrKaGmnioVpWdbWrWtsnSS8HBayrB/P9Wf1nXirri4WGuN4lu3bmGE6OVX6p63tzdGjRpV16dhtcpmlpUVco4aN25c4wxso0aNMHr0aHOcnlmEhYUhNja2UspaQEAA/P396/Cs6lb9vSRiTB9XrwLdusGjmtvqps6JLhMaSkUZDhwQ5fDMQAoFMGYMEBFh/LGqy3Fs8t//AjExxg+gxYkTJ3Dp0qXyOyj379/H9rLOJ1rI5fT9OjkBf/xh2Rd0zZvTIsennwZee033/RwdHbXW4a3POajMcnh7e2PmzJno0KEDGjdujO7du9vcbL+fnx+effZZBAUFoXHjxujVqxemiNqlyvJxiTtmO6ZMQb63N75t2rTSlXRwcDDGjx8v2rArV1JtXFGbeTC9FBUBpoqtsrKysGLFikozVF08PfHUJ59Q4rUItzp//vlnpKWlaWx/+eWX0bBhQ43tRUXAd98Bb75p2QF0VaWl1Dnxiy+AJUuoqUtNDh06hBMnTlTa9vTTT6Njx44iniVjzApxiTvGKvnvf+ERHIw5W7fiRHY2CgsL0a5dO/Ts2VPUYSdNAvg93HIoFJQicOkSlW82lo+PD2bPno1Tp04hNzcXgYGB6Hv8ODBhgigBNKA9B1EikcCxSoFnQaD84ueeowV89Y1USrPnKSmU5vH770C7dtU/fsiQIfD29kZcXBwcHR0RFhZWrxdyMcYsG89EM9ty/jwQHCxeN4lq5ORQ2+Pevc06LNPijz+og96xYyIOkp1NScgi5QreuHEDW7ZsqbSta9euGDt2bKVtS5YAe/ZQU5P63N9BEIAVK4BPPwWuX6fCO4wxJiKdZqI5iGa2JyqK7m/rUbtXrVZDoVDAxcUFxcXFcHZ2Ls+FEwQBMpkMLi4u1XZvio2lxVzGllNjxhs7Fhg9mmZndSWTyeDo6Ag7XZ68+HgKog24YlIqleUtgmtz48YNnDlzBiUlJejYsSP69u1b6fz+9z/glVcoLdtaSi3m5gINGwJbtz7K8bZlVV+LGGMmw+kcjGmlUgEvvkhTWjoEK0ePHsXp06chl8vh4OAApVIJV1dXDBgwAK6urjh48CDy8/Ph5eWFESNGICgoSOMYXbvSpOT+/RbZuM6m9OlDmRa6uH//Pnbt2oW0tDS4uLigX79+6NOnT807LVtGq+P0CKJLS0tx4MABXLhwASqVCoGBgRgzZgw8PDyq3adDhw7o0KFDtV93c6NA2loCaIACaKWSyhN+9RWld7RoUddnZX537tzB3r17kZWVBTc3NwwZMqTWzoSMMdPjmWhmk9SjR0MeEgLXjz+u8XGnTp3CX3/9Ve3XJRIJKv4N2dvbY9GiRXDXcu989WpKJdi92/DzZsYpm8nUhVqtxjfffIOCgoJK2ydPnox21SXmlpRQx5CLF/WK7qKjo3H48OFK21q1aoUZM2bofIwyOTnAhg3AggXm7UJoToJAlSu/+opSVTp1quszMp+SkhJ8/fXXVIe8gtmzZ6N58+Z1dFaMWR2dXj35HhCzKaWlpdizZw9+CgxE+vr1+OH773H//n2Nx2VlZWH58uU1BtAAUPUiVKVS4caNG1ofO2kSvemzujNoUHnfnVolJydrBNAAcPXq1ep32rMHCAnRe3pU2zHv3LmDwsJCvY4jCMDcucCtW9YbQAP0vb35Jl2QBgUByclUycMW3Lp1SyOABqDRiZUxJj4OoplNOXfuHM6fP48HXl5YN2MGsjIz8fvvv2sEw9u3b0d6erpBY2irVQsArq50i/3gQYMOy4wUG0upyuHhuj3evpqa4tU9vwCAUaOAX39FcXFxpTKKtdF2TIlEolsOdgUrVgC3bwNLl+q1W73Vowc1jXnnHWDkSKBCs0KrZdDvJWNMFBxEM5tSdZZ49qpVkNy6Vanmbm5urtYavFVJpVKNkmJubm411qTNzgZmzTKspTEzztq1wPTpVDZNFwEBAfCtklAslUoRGhqqfYf0dORs3IgV+/dj6dKl+PLLLxEVFaXTWGFhYRrbunTpApfaCiNXcfky5Qvb2oK7deuAxx4DuncHzp2r67MRV1BQEDw9PStts7e3R0hISB2dEWO2y+6jjz6q63PQ1Ud1fQKs/ouPj0dW2XSVRIIGRUXoHBeHRs8/X14RQRAEnDp1SmN2WiqVwsvLC/b29vDz88Po0aPRvXt35OfnQ6VSoXXr1hg3blyNi8F8fYFt2+jf9u1F+zaZFjk5NFHs5aXb4yUSCTp06ACZTIbi4mL4+voiMjISrVq10vr40uXLkbR2Lc4+bB+vUqmQlJQEX19fNG7cuMaxmjZtCk9PT+Tl5cHe3h6hoaEYNmyYzjPRCgVVfpk2DfDx0e37syZSKTB0KNC6NeW8N25MKR/WmNIilUrRvn17FBYWQi6Xw9/fH2PGjEFTUxQ9Z4yVWaLLg3hhIbMpycnJWLt2bXmA7CCX49WffoLL339TLutDO3fuxKVLlyrtO2nSJLQ3QeS7di2wfTuwa5fRh2I6ysqi4Fm08oKCAEWnTvitVy8kt25d6UudOnXCxIkTRRqYfPAB1SHfulXUYeqN//s/4No14OefuaY0Y8wgXOKOsapatmyJadOm4fTp0ygsLERQUBActNwGffLJJ+Ht7Y0bN27A2dkZvXr10qjIkJ6eDrVaDT8/v2rrQ2vzzDNAZKTR3wrTwwsv0Cz0zJnav15cXIzMzEw0adJE7xQKAMCVK5AWFiK5ZUuNL4mdq3rxIrB8OXVgZOS114CXXgJ69aIyeLZUvYOJq6CgADk5OWjatKlGOh+zPTwTzRgAFBZSwrIOVRWKioqwefNmpKSkAKC2z5MnT4a3t7fOw926BVy5Aowfb/AZMx1lZQFt21IFhyqppACAqKgoHDt2DGq1Gvb29hgyZAjCdV19WEYQgNRU/LJvH1JTU8s3SyQSzJo1CwEBAUZ+F9UbMoRyvQ2ohmf1Vq+mluEffFDXZ8KswZ9//omzZ89CEAQ4OjoiMjISjz32WF2fFhMHl7hjTGdbtlBtMB389ddf5QE0QOXwdutZ/FmhoDq+SqVeuzEDrFtHHQq1BdApKSk4cuRIeSUNlUqFAwcOIDMzU/cBlErgxx8Bf39MmTIFoaGh8PT0RIsWLTB58mRRA2iAUjimTxd1iHrruecogI6JAZ56yjaqdzBxlHUILZt4VCgU2LVrl95lKJl14SCaMQB49lnqYHj2bK0PTUhI0Nh2584dKPWIiDt3BgIDgb179TpLZoDu3YE33tD+NW3PJUC1eHV24ADw22+ARAI3NzeMGjUKr7zyCmbNmqW1e6WpJCVR7XFvb+tcQGdKjz1Giw5DQoAqPW0Y04m21wq1Wo2kpKQ6OBtmKTiIZgwAHB2Bt98GPvmk1odq60bo6upabf3W6sybB6xfr9cuTE9paUBYGAVR2mh7LmvartXGjVQWw4wEAVi4kNrJcwBdOycn6nC4Zg3w8cd8B4jpzySvFczqcBDNWJnZs4FPP631Yf369dPY1rdvX70WFwLA009Te2YmnnffpUV31enSpQsaVukD7uPjU2Ot70qKi4H9+wGRq29UtWsXNVV5/XWzDlvvDR0KHD1K3Q1nzqSbT4zpIjQ0FK6urpW2BQQEoKWWxcTMdvDCQsYqys8Hdu6k9I4a3L59GxcuXIBarUZwcDA6d+5s0HDXrtGb+vz5Bu3OapCfD7RsCcTHA02aVP+4goICnDp1Cunp6fD390fv3r013ixrlJYGmLlG79atVGt8wACzDms1BIHK373/Pt2Aeu01EcsfMquRk5ODU6dO4cGDB2jZsiV69eoFJ1vrbGQ7dJoV4yCasYqKiyl58tgxkd2xsAAAIABJREFUoEMH0YdLTQW6dKH8Vm0L35jhfv6ZWqxv2ybiIKtXA+PG6d7BxQSuX6dfTU7jMF5SEt2A+vhjQMsNJsaY7eIgmjGDLFkCpKSg8OuvcevWLTg7O6Ndu3Y6d4/T16RJQHg48MorohzeZl25QjOOolWgSksDOnYE7t0D9Jm5NkJqKhAcDMTGAs2bm2VIqycIdEHy9df0+aJFPCvNGOMgmjHDZGVB1aEDvnrxRZQ8XCzo7e2NGTNm1NjS21AnT1LcfuCAyQ9ts+7do0BI1CyLZcuo08natSIOUtmsWZTG8fnnZhvSZiQkUEk8hYLuYnTtWtdnxBirQxxEM2aI0tJS/PD558iusoQ/NDQUo0aNMvl4gkAfUl7mazILFgA+PsBHH4k4SO/edPXzxBMiDvJIXBw1Vrl5ExDhWo6BFhyuWkV3Mb79lj7nv0vGbBI3W2HMELm5uciWyzF83z44yOXl2ys2WDEliYQqLSxcKMrhbU5xMbBpE80qimrPHmDwYJEHeaRjR+DECQ6gxSSVUs+lb78F0tNpvcL+/XV9VowxS8VBNGNVuLu7w8nFBR75+eh26VL59saNG4s2ZkAAVVy4cUO0IWzGpk1A3746dXA33K5d1P5Oz9rghoqKAnbsANq0MctwDJQ2s2wZ3dWYMIHy0RljrCIOohmrwsHBAYMGDcLJvn0RfuoUJGo1nJycEBERIdqYzs40A/bdd6INYTOGDgW++ELEAQQBePVVoKBAxEEqD/fGG0CFmyLMTJ54Arh6FejWja6XUlPN9rQzxuoBDqIZ06JXr1544sMPoW7bFpGtWmH+/Pnw9fUVdcyXXqKSW/VnmYLlSUigdA5RqxOeOQM4OFA/cTPYvRuQyYBnnjHLcKwKFxfgvfeo1vjWrfS7tWYN5UszxmwbLyxkrCZl9a+se0irMWMGlYB74w0RB3ntNaoLvXixiIM88uKLwPDhwJgxZhmO1eLsWSpH6eEB/PlnXZ8NY0wkXJ2DMZNYsACYOpWqMYigtLQUCQkJyMvLg49PG0yY4I0TJyjFg+kuKwsICqLZ6EaNRByopITqoJlhhV/Fl2e+sBJHUVER4uPj4eDggPbt28PR0bHWfQSBFgO3aUOt18eNA0TM9mKMmZ9Or7jmWRXDWH3Wpg0lK4sQRMvlcqxbtw6pFVYtOTktwsaNXpg92+TDWbU1a2i2VtQAOiaGkmLNUJVDpaK23lu2cGMVsSQmJmLz5s1QPixn2aBBA8yYMQM+Pj417ieRAG3bPmrmM3060K4d8MknQM+e5jhzxpgl4JxoxmozaxbVuRJheX5MTEylABoA2rffi6VLSznnUk9z5wL/938iD7JsGfXdNoP16yn1ulkzswxnk/bt21ceQANAYWEhjhw5ovP+EgkwcyYQHw889RSQkkK50n/9xTnTjNkCnolmrDYNG1IS5O3bgL+/SQ+trfZ0y5a3IZHkIy+vIby8TDqc1Tp/noKWHj1EHKSwENi7lwJpkSmVNKu5bh2ncYhFJpPhwYMHGtsNqQfv6Ag8/zz9PzUVePtteg4XLaJMMDc3Y8+WMWaJeCaasVqo1WrceOYZxDg7Iyc726TH1lZ7WiqV4OuvJXBwMOlQVm3JEuDyZZEH2bcP6NcPELFeeJm8PEoR6NdP9KFslrOzMzy05LUbWw/e3x+4cIGutfbvB/7+m6qr3Lpl1GEZYxaIFxYyVgOZTIZff/0VGRkZGLFvH1ICAtDiX/9CWFiYSY5fWFiIVatWITc3t3xbeHg4nnhiGLp0oZlIM1VSq7du3wbCw4HkZMDVVcSBSkuB3FzA21vEQWiY7GxqW87EdeXKFfzxxx8oex90cHDA9OnT0dzESejnzgGRkZQ3PWMG8PTT3HmSMQvH1TkYM9aRI0cQFRUFAGh/4wb6RUVh3fz5eP311+Hk5GSSMUpKShAbG4u8vDy0adMGbR62pfvqKyqntWWLSYaxWu+8Q//++98iDpKRQQWbzbDac8cO4L//BY4fF30oBiA9PR1Xr16Fg4MDunbtCk9PT1HGUShoZnrtWuBf/6KOmidPAsOGcboHYxaIg2jGjLV+/XokJiYCACSlpVj47bfYNnEihi9ejICAAFHHLiwEAgOp5XP79qIOVa8pFNTNz91dxEG+/ZYqc6xfL+IgVO2hVy+6MBg3TtShWB27coVKjp89Czz+OPDxx0DnznV9Voyxh3QKojknmrEaVMyPFKRS/D14MJzUari5ueHSpUs4f/48ioqKRBm7QQNg9WqRUxTquU2bKP9U1AAaADZuBKZNE3kQ4PBhunjixirWLzgYOHgQSEwERo2i3+HYWGox/vbbwKFD9LvAGLNcPBPNWA3y8vKwatUqFBQUlG/rHhKCm3FxKHhYGsvBwQGTJ09G69atRTmHu3cBe3uTFwap95RKmqnftYsCD9EkJ9P0cEoKPREiunuXqjuEh4s6DLNQSiXNTB88SEH0vHnU7v2VV4CwMKpJ3bEjX1gzZgaczsGYKchkMly+fBkFBQUICgpC8bx5SFGpcLJC6YQmTZrgxRdfFGX899+nbnzLl4ty+Hpr0yZgxQqqfmAItVqN27dvQ6VSoW3btjV3qnvwQOQuLlRr2N6eevswVqa4GPjlFwqur14FBg2iyh+vvUYNeVq2BDp0oIWLZcWDPD0BO7u6PW/G6jkOohkTw/oFCxD522/4buFCQPooI+rdd9+Fgwh16bKyaFX/5cvcua6iadNolm7UKP33zcnJwbp168qrori4uGDKlCmaVRkEgVZ4LlwImGghaXVGjwaGDwfmzxd1GGYl9uyhsnnJyRQwf/UV8MEHwPffA/n5lB5y+TLd3Xj5Zfr1dXKiWe3Ro6l+tZ0dNfQJCaFf8V9/pYs5R0fa/s47wI0bdKHq6EgfQ4YAfn507IYNH31IOTmUWRdu+82YGNTdu0O+fTsCExOR2LYtAMDLy0uUABqgUmfPPUdvkl9/LcoQ9dL69RTjGuLgwYOVygrKZDLs3bsXL7zwQuUHxsQAP/8MvP66zsfOzMxEYmIiPDw80K5dO9jpMCV48yZw+jRXYmG6e/JJzW0ff0wfajUF0h4eNCu9fDktvi0pAYKCHu2vVNLCXD8/2ubpSfsoFFTbWiKh41y/To+VyymX28UFmDOHKj7m5NDF7PLl9DqVm0tdNoOCqNlMdjbg7MwpKMw6cRDNdHbrFs1SJCXRi/Gbb1Ig8/PP9LlSCWzeTC/g06fTTIi3N3XNHj2aqky0awf4+tb1d2KcwUOG4NiwYSh5GDRLpVIMHTpU1DHfeYdu3TLy6qv0hh0cbNj+d+/e1diWlpYGuVxeuXThhg005a1j28CTJ0/i4MGD5Z83bdoUM2bMgLOzc437ff89dbxzcdHt/BmriZ0dyrudenhQPnVVkydrbtNWEaZ3b/qo6sKFR/8vu5h96SV6f0hNpUAcoN/tzz6jyYB27YDffqPzS0kBOnUS/QYPY6LidA5WThAoEBYE4McfgWvX6FZejx5Ut/bZZyk1tHVr+njjDQqs79+nN38HB3qRBGjmIj+fHh8URAtiRo6k2bYGDShgWLyYAkOR12qJIjc3F3ExMShVKNCxVy/4mKEzxp07wIkTdBvWlsXHAxER9GZtaH3dNWvWaATS7u7uePXVVyEpC5hLS6mY79GjwMM7DjUpKirC119/DbVaXWn7oEGD0L9//xr3ffCAbodzm3dmjdRq4J9/6G938GCqj71gATVKatsW+O47oG9fej9p355TQ5hF4Jxopp1aTQFZ8+aUT/fZZxQwX79OwfLs2bRopX17WrDSocOj233GEgQgIYGChvBwamvs50ez1U88Uc8C6pdfpsVmH3xgluHu3aOLkcuX6XaprZo1i6pyLF5s+DGSkpKwcePGSgHv6NGj0a1qmY+cHJ0j29u3b2PDhg0a29u3b49JkyZVu9+uXXTx2aGDbufOmLUoKQHi4uhataQEGDiQ/uR696a1AZGR9J6h440gZuWKi6kkZGAgpQ2tXAlkZlIvrKeeok6gI0cC6el0IdatGy0+/+Yb4MwZugvu60v5/yoVUFRE8Uc1v18cRNs6tZpm65KSgKFDqZrBF1/QbECTJsCBA5RysX8/3Vbr2JEWiJhTbi7lga5eTX8YmzaZd3yjxMZSYmFSktmi/7feohl+W63UoVYDEycCq1YZP2ubmZmJS5cuQaVSoUuXLprNc9asoT8cHVdz5ufnY9myZaj6mhoREYHBgwdr3UeppLs6e/bQ4i7GbF1aGnDqFP3ZhYTQ30fPnrSgcdgwnW4KsXouO5veXhMSgLlzKT54/33a3qoVsH37o1z/xo3po3t3mvg7e/ZRUOzoCHTtCly8SBdr6en08fHHVJN/1iy6eGvXjtYbRURUOg0Oom2FWk1XZ9eu0S/P6NGULrFhA111PfYYtRK+fZuu8jt2pJQKS5OfTwtQ+venSd5Jk+rBDETv3pSwPHq0WYZ78IBue54/b5utgtVqM5XuKiykd/GbN+mKU0eHDh3CiRMnyj/38vLC7Nmz4VbNk/XbbzSbcuSI0WfMmFW6f5/+Pg4dogDqww8p/SM4mO5k1qu7l0xDVhal98hktEB1+nTgjz8o+A0JoWaxmZm0qLVZM9O//ufk0MRimzYUjFdQt0G0RCL5CMBcAJkPN70rCMK+h197B8BsAGoAiwRBOKDDIW0+iJbJKHhKSKCPPn2AESPodoSzM7WMHTaMVkT/8w/N1FlisFyb6Gi63eLpCfz0EwX9FuvECfpBd+pktiHNFkhamLQ0usC6epVmGES1cSN97Nun96537tzB7du34enpieDg4MoLFasYMYJuWxtSpo8xWyQIlIL4xx90E/Cllx5VJLHF18X6RBDoOVMoKH2tf3+acQ4Pp9fABQvo7rSHh0XkxVtEEF0oCMKXVbZ3ArAJQE8A/gAOAWgnCIJa4yCVWW0QXVxMtykyMuiKa9gwWsu0YQPlwd67R7NVXl50lRYURLe0RoygRX8ymfWt6lerqepH3770x+bgYBF/VNqVJWBVuYwV09SplNrRtavZhqxzb71FOWw//GCGwcaPByZMAKZMEXWYkhK6ILDY323GLNi9e1QJpEcPmlTy8KAKI2PGAE2b1vXZMbWaZpAFgVInoqNp+5tvUoWlpCQgIMBi7yZYbBD9DgAIgvDvh58fAPCRIAinajmk6EG0QkF3cd3dH6VIKJX00bQp3d2NiqI3cqWSZnkHDaKKE9evP6qtOXcuFbhfs4Y+LymhoKd/f1ookZNDV1t9+lCuz/jxlPTeuDH9Qu3aRTk8587R7Qt/fwokrS1Q1tUXX1Ab3HXrTLfA0RAKhQInT55EcnIyvLy80KdPHzg6OuLBjBkoUKmQvmgR+vTpU+2te1PJyMjAe++lIyamIb79Ngm9e/cWrUa1pUhPpzsSsbH0NyI6mYwiWxHrby1ZQhVvAgNFG4Ixm1FQAPz5J81Qy2T076FDlFPNXUDNJz2dOmxGRVFstHQpxUSbNtGMc+vW9SBNk1hEs5UFEolkOoBzAF4XBCEHQDMApys8JuXhNpPLz6dAODGRiigMGAB8+imlRGRk0K2f48eB//yHVvoLAgXGR47Q7NCECTQD6uAAvPAC5Rl/9x2Ql0fb2renIPraNTqOoyMFumVl2xo1os9dXCj4k0opTaFhQ5pVLku1/N//NM89NJQ+GFUKKS6mxSU7dtACgrqwcePG8rJod+7cQVxcHBwdHeHUvDlmrlmDnSEhiI+Px7x582Av0qX1gwcPsGrVKjRtqsadOwvw668JSE5OxrPPPivKeJZCLqdmM2YJoPftoz/eXr1EGyIlhXL99Ojhwhirgbs7LTqeOPHRtmPHqMx7kyb071tv1d35WaOcHPoZR0fTx9KldMGSn09pNhs3Un1wQPSbenXGqJloiURyCIC2mybvgQLlLNAM8icA/ARBeE4ikfwA4JQgCBseHmMVgH2CIGyvaaz79+9Xe6L5+RKcO+eIuDh73LjhgGeeKUb37kp07doELVuq0aKFGkOHlmDKFBn++ssJSqUEPj5qeHuXIihIjZISCnBFz7NkRtm/3wkJCfZYuLCork9Fg/fEiSh+9lmUmGmBIQDs3esMZ2cBQ4bIzTZmXXjwQAJBkMDHp9Qs4zWKjETBm29CMXCgaGN88UUD5OdL8emn+aKNwRiju8rnzjkgOdkeTz8tw5Il7gCA4cNLEBam5DxqHQkCkJxsh7NnHXH2rCM+/DAfZ886YvVqV/TsqUTPngqEhCis5o65n5+f5VTnkEgkrQDsEQShi7HpHDIZpTmcOEErOn/4gWZ1PviA8kODg6mYe0AA15e0Vn//TYvLFi4035jXr1/H1q1bq/26b1oaZM7OyG/YEMOGDUN4eLgo57Ft2zbExcWVf15aCuTne2L+/EgElfXztTILFlDL4C++MMNgt25RnaOUFFET9QYOrAeLZhmzQleuUIm0P/6gybOLF+nPvXFj7p5YUUkJdaW8do1avC9ZQjWXIyKoKsr06ZSDbsXqPCfaTxCE+w///yqAXoIgTJJIJJ0B/IZHCwsPAwjSdWHhN9/QLYK+fR9Vp6iPFSiY4ZKTgccfp4UK774rzhiCIODcuXO4fv06nJ2d0bVrV2zfvh1KpbLafXwyMyF3csKMd99Fo0aNRDmv2NhY7Nixo/zz1NSm2LJlMpKSnOHlZX23Uu7epYL516/rXmkuLy8P0dHRyMzMhL+/P/r27at7nvp//kM1tZYtM/ykdcAX+IzVvbJeSq++Cvz6K8UT48ZRKqet/X2mpdHFRFgYlZhduZIu8vv2pRrKKhWlsdrQz6XOg+j1AEJAwe8dAC9UCKrfA/AcABWAVwRB2K/DIa22OgfT3/371Adjxgxa6Wtq+/btQ0xMTPnnEokEERERiImJgUwmg1QqRY8ePdCgQQMcO3YMKpUKww4fRqtWrdB03TrTn9BDgiBg3759OH/+PARBgKurK44efQFhYR5YskS0YevMrFm0oPeTT3R7vEwmw08//YSCgoLybT4+Ppg3bx7sdLlvW1pKCfgiXpnPmUMXf7ygkDHLkZYG7NxJd7p/+YVquKek0Fqq7t0ttoKEQTIy6K5+y5bUofjQIVqY+cwzdIcsOZlymW2xF0EFlpPOYSL15kSZeWRlUaWUgADTlggrKSnBl19+WaklNAC0adMGkyZNQlpaGho2bIgGDwMtmUyGBw8eoEluLhyHDKHpU5HvCxYUFCA/Px++vr5ITbVHt250m9LfX9RhzS45GfD2pkVDujhz5gz+/PNPje0TJkxA586da975yhWa8n76aQPOVDdXrgDDhwN37tCsDjO969evIy4uDg4ODujevTua69hxkrGKjh8Htm2jcrP//EMBdUoK/T80lF6XLJ1MRo1EmjallLhnn6XCCkVFNPn07ruUHhkQQBf1XGqzEouozsGYaHx86OP556lO6Ny5pjmuTCbTCKABIDs7G/b29hpvyi4uLrSteXPqeLNjB13Si8jd3R3uDyPLFi3oBb8uy/+ZmiAA//43rfDWNYAGgMLCQq3bi4p0WIy6YoXotb5/+ol+XzmAFkdUVBSOVGj/GBsbi6lTp6IN1zhjeurfnz4AKknr5kZNzv7zH+DSJSrgs3s3pZnt30+to4OCaLs5Ux4UCppsSEqijylT6GJ9xgwK+tu0oaoZw4ZRHvPXX1cuMzdokPnO1RpxEM3qvbfeoltujRpRzW1jubq6at0u0eWVcflyszZdKdO5M5VKdHYGRo40+/Amt2cPrX3QtyRVu3btEF1W0f8hiUSCtm3b1ryjUgls3UqrlUUiCNQc4v33RRvCpqlUqkot1wFKf4qKiuIgmhmlYUP6NzKSPkpLaQ1yixb0N33wIBU5uHmTuicuWkQNX7y8aBa4e3cqvRcTQyVyGzSgj86dKY0iK+vRWL6+dJF94QL1rSgspH4RPXrQUo2rVyn1xMGBFkd+/DGlngQGUnA8diwdd/duCqArXrA/9ZR5f262gINoVu+1bUsNaoYPpxcaY2sJFxcXa92uU05tu3ZUOiYggF5hzcjLi2Yfrl2r34ttFQoKnr/8Uv88xICAAAwZMqQ8T93R0RHDhg2Dd233Xk+epHchEYMtiYRyLpk45HI55HLNco95eXl1cDbMmkml1CcCoPefDRvo/4JAJfUEAZg3j9bupKVR3WSAZqyPHaN0isJC4PJlKktfcYH8ihVASAgt7nN3p9fykSPpva1hQypf7+tLgTVAvS8+/VTzHD09xfv+2SOcE82sRmIixUHGVj4QBAHff/89srOzK23v3bs3nnjiidoP8OabdAJmqclW2YwZlOLy1VdmH9pkzp6lAHrLFsOfR5lMhuzsbPj4+MDJyQlZWVk4c+YMCgsL0aZNG4SGhkJaNQGwoEC/3BE9CALwxBO0YKlVK1GGYACWL1+O9PT0SttCQ0MxatSoOjojxlg9pdO7D6eRM6sRGEhX9kOGUIc7Q0kkEowdO7ZSWbQWLVqgf1mCXG3mzgXWrjXuJAz05ZdAairNhtRHCgV1pjQmgAYoT71Zs2ZwcnJCZmYmfvnlF5w7dw43btzA3r17sbPilHBhIfDZZ6IF0ABw5gwtJmzZUrQhGIAxY8aUrxUAAH9/fwwePLgOz4gxZs14JppZldJSyvtq0YJqihtDpVLhn3/+gbOzM/z0WLWXn58P9YABSBg6FK4zZqBTp0665VObUHo6xYTVpHdbrHHjgEmTTLsuc/fu3bhw4YLG9kWLFsHLy4vuxW7aBOzda7pBq5gzh277/utfog3BHlKr1bh79y4cHR3RrOyeN2OM6YerczDbI5UCq1dTCaJBg2iRhaHs7e3RunVrvfbJycnBypUrYTdoEIqcnFC6bRvCwsIQGRlp+IkY4MMPaZGhyD1DTGrPHlo0M2aMaY+bn6+9tXZ+fj4F0Rs30rJ1EQkCMHOmqEOwh+zs7PT+u2WMMUNwOgezOl5etNCwd2/zj3369GkUFxejwNMTbRMS0DAnB+fPnzf74qbPPgN+/51qgNYHeXnAiy9SCThnZ9MeO1BLVxMXFxf4+/vTwDExwOjRph20AkEAVq2iVfqMMcasBwfRzCoFB1MqwyuvULtSc6m4GLHF3bsIi4mBIAjIyckx30mAGgGsXEmBaX3Ij27QgM738cdNf+wePXqgQ4cO5Z87OTlh7NixcHBwoCXsycmituYaPJjqtjLGGLMunBPNrFZpKRWYHzSocgkhU5LL5Th//jwyMjLg7++PkpIS/P1w+tf7wQPMWr0aP779Nl5+6y04idzFUJusLKqfDZi3AYA+9u+n2Wexi/5nZmaioKAAAQEBFEADwOefUy2qskKwJhYbC4waRU0QdKmQyBhjzCJw22/G7t6lQveHDgFdu5r22EqlEitXrkRGRkb5tmbNmsHBwQF37twBAExftw6SRYvQ6uWXTTu4Hr74gmbjxbqQMEZGBj0vv/8O9Otn5sFv3qQuPf/8o39Bah0tWEAlBz/6SJTDM8YYEwcvLGSsrErHnTumD6KvXr1aKYAGgHv37mHSpEkYPHgw8vPz0eS55+BWpU24uU2dCoSFUbH+oUPr9FQqUamAyZOB2bPrIIAGaEHhpEmiBdAATXDPmiXa4RljjNUhDqKZ1ZsyhRZ3Xb0KdOliuuNWbcZScXv7snZWALBmDdC/v6jd8GrSrBnVXZ4wgeoVW0rhgsxM6vq1ZEkdncCOHfTciESp1N5JjDHGmHXghYXMJmRkAAMHAvHxpjtmq2paz2mU17pxA/j5Z9MNbID+/am9rKU0+zh9mupY//ijeXKFc3NzcfjwYezYsQNXr16FIAjAqVNAt26ijTl8OBAVJdrhGWOM1TEOoplN8PUFFi+mNWSmWgbQpk0bhIWFVdoWERGBplVrmc2ZU2cdDCsKC6NCFE8+SR2u68r587TYzpQXNDXJzs7GihUrEB0djdjYWGzfvh1X588H7t0TbbVlYiJ1z+zVS5TDM8YYswCczsFsxoIFwPr1wO7dpisLHBkZiZ49e5ZX5/Dy8tJ8UFAQ1dw7frzOk5JbtgT8/YGRI6kqRoMG5h3/5k0K4lesoAWf5nDq1CnIZLLyzx0UCrT99Vfkv/IKPPQ4zsWLFxETEwOVSoXOnTujX79+sKtmGn3dOsr3dnQ08uQZY4xZLK7OwWxKRgZVS5Ca+x5MSYnpu4gYqLQUmDuX+oxs22besVeupMnf2bPNN+aGDRtw+/bt8s+DY2MRfOUKHA8dQksd81vOnz+PPXv2VNrWo0cPjBw5Uuvjf/6Zmv089pjh580YY6zO6HSbktM5mE1p0oTycc2+4MvZGVi6lKZi65hUCvzyC/Dll1QhIytL/DETEugOwJw55g2gAc3c9XY3byKuRw/4+fnpfIyYmBiNbRcvXoRSqdTYXlICvPACB9CMMWbtOIhmNicoiMre3bhh5oGzsih6tQBSKdCqFXDgAJW+u3pVvLHOngUiIoD0dPHGqEmvXr0qLfbc9cwzCHr7bTjqkWuhUCg0tqlUKpSWlmpsf/FFYPVqw86VMcZY/cHpHMwm/fe/1IBl3z4zDpqQAPTpQ8096qB7YXU2bABeew1YtozKAZrSoUOUG7xqleny0A2VkpICyaZN8AkNhdOQIXrte+jQIZw4caLStrZt22Lq1KmVthUWAgEBwPXrQNX1pYwxxuoNTudgrDoLFlBqR2GhGQdt25ZKZGhJDahL06bRIsO7d+lzLZOuesvOppnnTp2AgwfrPoAGgObNmqHZypVwcnXVe9+BAweia9eukD5Mpg8MDMSYMWM0Hve//wF9+3IAzRhjtoBnoplNy8ujChXmqFUMgFb1mX1Vo+4yMqh08vz5wMKFgIc+5StAOdZr11I5wY8/phxoi3H6NDB9OtXWM7C0nVwuh1qthms1gfi+fYCLCzBokDEnyhhjrI7xTDRjtZk2jdIZzEYqBd580yIWGGrTpAlw5AjWpU8LAAAgAElEQVSlI7RtS81CBKH22toqFT2mRw/6ee7caWEBNAD89Rcwc6ZRtaGdnJyqDaCLi4FhwziAZowxW8Ez0cymRUdTIB0fb/o05cLCQhw+fBhJSUnw8vJCREQEAgMDgbffphnppUtNO6CJxccDjRpRg5aJE6lxSPv2wJgxNFv9+ed0LXDuHG3//XcgNZXqUFsslQqwF6c8/iefAEVF9HNhjDFWr+k028JBNLN5o0ZRD5RFi0x3TEEQ8PPPPyO9QkkKqVSKOXPmwK+oyCIXGFZHEGhmOiaGOvENHEizrUuWUO5vt25AaKhosalpHDhAidqTJ4tyeEGgmfvNm2k2njHGWL2mUxBtyW97jJnFf/9LE5SmdPfu3UoBNACUlpbiwoULiIyMBAYMAOLiKPoUgVKpxKFDh3DlyhXY29uje/fu6N+/PyQGpDJIJLRAsFOnyts//NBEJ2sO334LTJpU/qkgCDh+/DjOnz8PlUqF4OBgPP7443BwcDDo8NHRVAq8Shd4xhhjVoyDaGbzgoKoksTBg6bryq2tCQdQod7w77+bZqBq7N+/HxcvXiz//OjRo5BKpYiIiBB1XIuUmgqcPAls3Vq+KTo6GkePHi3//OzZs1AoFForbujCzQ347DOj0q0ZY4zVM7ywkDEAOTnA1KlAQYFpjteqVSu4ublpbO/SpcujT2bOFGWBoUqlwuXLlzW2VwyqbcqxYzQLXeH50PazuHLlClQG3JKQy4EOHShXnDHGmO3gIJoxUBD0+OPADz+Y5nj29vaYPHkymjRpAgBwdnbG0KFDERQU9OhBvr7AihWmGbAKbWsdtHXXswmTJ2s8sdp+PoauD/njD9FSrRljjFkwXljI2ENxccCIEbR4zpSL5IqKiuDs7Ay7qsWok5JoFdrdu4ABDUBq8r///Q9XrlyptK1///4YZGv116KjgTNngNdfr7T577//xvHjxyttCw4Oxvjx4/UeYtQo4OmngWefNepMGWOMWQ6uE82YPjp3BmJjTV9lws3NTTOABoDWrSn6Skgw7YAAIiMjERISAjs7Ozg6OqJ3794YMGCAycexeD/9BGhZLDhgwAD07t0bjo6OsLOzQ9euXWnBp56ysqiW9rhxpjhZxhhj9QnPRDNWgVpNpe6+/JI6z5lF2d+gCKvSBEEwqCKHVcjJoQuVxETA27vahxnzM0pNpep5s2YZepKMMcYsEM9EM6YvOzsq37x2rRkHnTyZpjNFYLMBNACcPw9MmFBjAA0Y9zNyduYAmjHGbBXPRDNWRXQ0BUY3blBQbajs7Gz8+eefSExMhJeXFwYMGFC5OkeZ77+nChIil71jppWYCPTrB6SkUDd3xhhjVoNnohkzRN++VDs6Pt7wY5SWlmLDhg24desW1Go1srKysH37dty9e1fzwTNmAIcP0xQ4M43z54E33hB1iI0bgfHjOYBmjDFbxS//jFUhkQB792p26NNHcnIycnJyNLZfunRJ88Hu7sAHHwCZmYYPyCr75Zda0ziMIQgURE+bJtoQjDHGLBwH0YxpIZEAL74IVKmCprPq0qSqTZ965RXgsceAajodMj0UFlJ3whkzRBtCqQTmzgV69RJtCMYYYxaO234zVo2QEGDpUqB//9ofW1JSgj///BPXrl2Dk5MTwsLC0LBhQ+Tm5lZ6XNeuXas/yMyZwBNPANOnG3fitu76dWDiRKBZM9GGyM/XKD3NGGPMxvDCQsaqIZNRhbQjR2pP7di8eTPiqyRRR0RE4N69e0hKSkLDhg0xcOBAPPbYY9UfZO9eYPFiyue15aoaFk6lAgICgJMn6feDMcaY1dHpTZhnohmrhosL8NFHwL17NQfRxcXFGgE0ACQkJOD555/XfcARI2h68+hRwNY6CxooNzcXhw4dQnJyMry9vfGEuzua7d0LrFkj2phHjlAQzQE0Y4zZNg6iGavBvHm0iEyhABwd9dtX77s8UimwbBng4aHffjaqtLQU69evR3Z2NgCgsLAQD/74Ax7jxsFdxHE3bACmThVxAMYYY/UCLyxkrBYffwx8/nn1X3d1dUW7du00toeEhOg/2PDhQPv2QEaG/vvamKSkpPIAGgBciooQFB+Ps8aUVdHB4MHApEmiDsEYY6we4CCasVo89RSwfDnNRldn7NixeOyxx2Bvbw83NzcMGjQIPXv2NGzAZcuA9983bF8bolKpKn3eMC8PZ3r1gkzEfu1ZWbTu09dXtCEYY4zVE7ywkDEdDBkCzJ4NTJlihsEyMmg2Oj4eaNLEDAPWT0qlEsuWLUNxcTFQWkqLMSUSzJgxA61atRJlzCefpNrQPBPNGGNWTaeFhRxEM6aDY8eAkhJg2DBxjp+RkYH8/HwEBATAyckJeP55wN+fVjYaqLS0FMnJybC3t0fz5s0hscKKH/fu3cOePXvQICoKYVevonDVKnTv3l2UsTIzqZNlSgrQoIEoQzDGGLMMHEQzZkoqFZCXBzRqZLpjqtVqbN++HdevXwcAODo6YsyYMejk6goUFADBwQYdNyMjA7/99hvy8vIAAE2aNMG0adPg7i7mkru6o37ySUjHjoVkzhzRxvjhB+DECeC330QbgjHGmGXQKYjmnGjGdPTTT9RY0JTOnz9fHkADgEKhwM6dOyH386NUjpgYg467e/fu8gAaoKD64MGDRp+vRbp9G3ZnzkAyebKow3TuDLz6qqhDMMYYq0c4iGZMR9OmAXv2AGlppjtmUlKSxjaFQoGUlBTKiZ4yhabA9VC+fxWJiYkGn6dFy88H/v1vwM1N1CF69QJ69BBtCMYYY/UMB9GM6cjLC3jmGWDFCtMd06OamtCenp5ARASVgdi2Ta9jOjg4wE1LQOnp6WnQOVo0mYw64YiYxgEA33wDvPOOqEMwxhirZziIZkwPb7wBDBxouuP16tULzs7OlbZ16dIFPj4+VG3i3XeBpUv1OqZEIkFERITGtv79+xt9vhbnxx+Bl18WdQhBoAYrXJGDMcZYRbywkDE95edTpYY2bUxzvJycHJw9exZ5eXlo06YNunXrBqn04fWtIACpqUCzZnof99atW7hy5Qrs7OwQGhqKgIAA05ywpVCp6EnYvh0ICxNtmHPnKIC+dYuuaxhjjFk9rs7BmBg2bwZWrgQOHTLTgAUFwNdfA4sXcxRX0datwHffAVFRog5z8yalp48aJeowjDHGLAcH0YyJQS4HWrSg2E1Lt+9KSktLkZ2djQYNGmikbeistBTo0oUSc4cONewY1ujiRSre3bu3aEOoVEBODtC4sWhDMMYYszwcRDMmln/9C1Aqga++qv4xSUlJ2LlzJ/Ly8mBvb4/w8HAMGTLEsAHXrwdWrQKOHjVsf2tz9y7g7k6rPUV04AD1uzl1StRhGGOMWRauE82YWBYtAmbOrP7rCoUCW7duLa/VrFKpEB0djWvXrhk24KRJNCWqpXSdTXrjDWDdOtGH2biRFxQyxhjTjoNoxgzg70+dCy9d0v715ORklJSUaGy/ceOGYQM6OFD6QvPmhu1vTW7fBo4cAWbNEnWY4mJg924OohljjGnHQTRjBoqJAebP1/616vKfXVxcDB9QKgUWLgSOHTP8GNZg6VJg3jygmhrbpqJQ0HpOX19Rh2GMMVZPcRDNmIEiI4F//gFiYzW/FhAQgOZVZo3t7e0RZmwptp49gffeo9J3tuq118zSf7uoqOaUHcYYY7aNg2jGDGRvD8ydCyxfrv3rU6dORe/evdG0aVN06NABM2fORGNjyzxMmUK50fv3G3ec+mrnTsDTk3JpHlIoFEhOTkZ+fr7JhsnMBDp3ppQOxhhjTBuuzsGYER48oCprBvRCMdy+fVQ7+plnzDioBcjOBtq2pan/h41jrl69ij179kAul0MikSAsLAwjRoyAxMh62j/8AJw4Afz2mylOnDHGWD3D1TkYE1ujRnTbX+R+H5WNHAk8/TRNl9qS774Dxo4tD6CLi4uxc+dOyOVyAIAgCIiJicH169eNHmrjRmDaNKMPwxhjzIpxEM2Yke7coZJ3Zr2pc/o0EBFB3UBsgVJJdbLfead80507d6DS8v3funXLqKEEAZg+nfvaMMYYqxkH0YwZ6fHHKbvizBkzDhoeTmUj1q8346B1yMEBiIsDgoLKN7m7u2t9aHXbdZWaCjz/PA3JGGOMVYeDaMaMJJVS0LV6tRkHlUiAzz8HFi+mfBJrlp1NKzgbNKi0OSAgAC1btqy0zcXFBd27dzd4KEEAhgwBzp0z+BCMMcZsBC8sZMwECgroXyMnQVFcXIzk5GR4enrC39+/9h2OHAEGDADs7Iwb2JK99x7lf69YofElhUKBM2fOIDk5Gd7e3ggPD4e3t7fBQ507R81Vbt2i6xTGGGM2Sad3AKOCaIlEMhHARwA6AugpCMK5Cl97B8BsAGoAiwRBOPBw+3AA3wCwA7BSEITPdRyOg2hm0S5cADIygOHDDds/NjYWu3fvhlqtBgAEBQXh6aefhr29fc07bttG6R3W2M0wMxPo0IG6NbZoIfpwr75KPVyWLBF9KMYYY5bLLNU5rgIYD+B4pZElkk4AJgHoDGA4gB8lEomdRCKxA/ADgBEAOgGY/PCxjNV7OTnAW28ZtsCwpKQEe/bsKQ+gAVogd+HChdp3vnABePdd/QetDy5fpu6EZgigAcpvF7mbOGOMMSthVBAtCMJ1QRDitXxpDIDNgiDIBUFIApAAoOfDjwRBEBIFQVAA2PzwsYzVe4MGUXMOQxYYpqSkaK00kZSUVPvO77wDHDpk5pWNZlBSQgnK//d/ZhkuPZ2Ga9XKLMMxxhir58RaWNgMwD8VPk95uK267YzVe2ULDDdt0n9fJycnrdu9vLxq39ndHfjPf4A1a/Qf2EjZ2dnIyckR5+DTppm128lbb2lNu2aMMca0qjUnWiKRHALQVMuX3hMEYefDxxwF8EZZTrREIvkBwClBEDY8/HwVgH2goH2YIAhzHm5/FpRLvbC2E71//z7nRDOLJ5NRabTa0phNThAe5ZFI63/RHYeYGHjNm4eMqCjA1VX08YqLge7dfXHsWCaaNCkVfTzGGGOWy8/PT6ec6Frf6gVBeNyA8VMABFT4vDmA1If/r257jfz8/Aw4DcbM79gxqso2blztj7106RJ27txZaZudnR3Cw8PRs2dPeHh46D6wTAb07AkcPAg01XbdazpbtmzBjRs3Km0LDg7G+PHjjT+4INDM+mefwa9NG+OPp4PNm4FevYCuXX3NMh5jjLH6T6wpq10AJkkkEieJRNIaQBCAswBiAARJJJLWEonEEbT4cJdI58BYnVCpgA8/1G2B4c2bNzW2qdVqBAYG6hdAA4CLC/Dkk8Brr+m3n54EQdB63vHx2pZHGDQAMH8+8OyzpjmeDjp2pOeMMcYY05VRQbREIhknkUhSAPQGsFcikRwAAEEQ4gBsBXANwJ8AXhIEQS0IggrAAgAHAFwHsPXhYxmzGvosMHStJlXh3r17Whca1ur992ng3bv131dHEokELi4uGtur+170kpsL7NkDTJ1qttrXBQVUHbBPH7MMxxhjzEpwsxXGRPDFF0B+PvDppzU/Lj09HStXrtQaMDdu3BizZs3SGrDW6OxZ6u7XSbzqkSdPnsTBgwcrbRs5ciR69Ohh3IEXLKCp/OXLjTuOHn78EYiONusaRsYYY5ZN/GYrZlZvTpQxlYomUnXpepeamopjx45pTZEYOHAgBgwYoP8JFBQAW7cCs2frv6+OYmNjERsbC4lEgm7duqFLly7GHfDCBWDECOD6dcCIroP66tuXymxHRpptSMYYY5bNNAsLGWP6s7cHdu2itI5Jk2p+rL+/P8LCwrQG0WlpaYadgFQK/PvfgI8PMEacUuxdu3ZF165dTXfAH38EPv/crAF0YiK1+H7iCbMNyRhjzErU/1pYjFkoNzfgs890W2Do6+sLqZbSdAZXpXFzA9auBV54AUhJMewY5lSWwjFzplmHdXEBVq6ksoTV+eeff3Ds2DHExsZCqVSa7+QYY4xZNA6iGROJPgsMPTw8EBERUWlb48aNjcsx7tsXePVVqrlnyS5coNJ8Uqlu+S8mIgjUFHH06Oofc/jwYaxevRpHjx7Fjh078Msvv0Amk5ntHBljjFkuzolmTERLl1Jc+MYbuj0+NTUVt2/fRsOGDdGxY0fYm6prS2IiEBhommPVICkpCfHx8XBzc0NISAjc3d1r3kEuB8LCqF2gGUvaARS7T5wIJCRoj93z8vLwzTffoOpr5KBBg9C/f38znSVjjLE6wDnRjNW1N97Qb3LV398f/v7+pj2J4mKgf3/gl19o4Z5Ijh07hqNHj5Z/fvr0aTz33HNo1KhR9Tu99RbQrh21+DazDRuokl51z096erpGAF22nTHGGON0DsZEJJEA69dTenKdcXUFtmwBZswA4sQpyy6TyRAdHV1pW3FxMU6cOFHzjrNmAatWmTWNA6AU7N9+qzl2b9q0KSRazqupyN0gGWOM1Q8cRDMmMn9/4KuvdFtgKJq+fYEvvwQWLxbl8Lm5uVprXWdlZWnf4epV4O23gZAQoGFDUc6pJkolPSft2lX/GA8PD420DV9fX+NrYTPGGLMKnM7BmMgqLjAMD6/DE5k+HZg8GcjOBpydaYbaRHx8fODs7IySkpJK25s3b6754MxMYPx40QJ6XfzzDzBlSu2PGzhwINq1a4fExMTyPHU7M3VSZIwxZtl4JpoxkUmlwKJFNPla5xwcgG++AcaOpdIUJjusAyIjIyuV6WvSpAn69etX+YFFRdTVZOJEsy8kLJOTA/ToQR3GdeHv749+/fqhS5cuHEAzxhgrx9U5GKtnlEolrl69itzcXAQGBqJly5b6HUClohV1RUXA//4HODqa7NwKCgqQkJAANzc3tG3bVrP2tVpNnRQnTTIqD1oul+PKlSsoLCxEUFAQmjVrpvO+y5cDhw8Dv/9u8PCMMcasG7f9ZsySfP894OQEzJ1r+DFkMtn/t3fnwVWX9x7H3w8RZBcBEeqGIirg4IJDBYqIQuWOShVxGWvVWlFcqrYVvd7baac6ba2jVquWq6VaL61StXWZe1v3oha4CgoCCkFURFkrW0IgCSTP/eN3jCCB5GT7nZy8XzOZ5Dz5nd/5hmc4fPLwLDz88MM7zTUeOnQoo0ePzu5G27bB+efD97+fzDdpbFu3wlVXwaRJMGBAvW5VVFTEww8/zKZNm6raRo0axbBhw2r1/CFD4Mc/9phvSdJu1SpEO51DaiL9+8N999VvgeHs2bN3Waw3a9YsNtZ2bsIXWreGv/wlCdCPP964pxquXw+jRyfBvW/fet9u5syZOwVogOnTp9fqEJQYk/NnTjut3mVIklo4Q7TURE4+ORmQrc0JhrtT3R7FMUbWrl2b/c2+mE6xYkUyPPvGG3UvbHdihHPOgaFDk73+GmDqSHV/Btu3b2fdunU1PnfxYvjWt6ChzrCRJLVchmipibRqlRy+8umndb9HdQexhBDqt3fxjTfC5Mlw3nnJftINIcZk0nFFBUybBnfckfwBNIDq/gxat25N9+7d9/i8ykoYMyYJ0pIk1ZfjMVITuvLK5HOMdVtXd8IJJ7Bw4UJWr15d1TZixAg6d+5cv8LOOAPmz0+meSxalCTNs86qW5GFhcmciTVrkpMS99+/frV9xdChQyksLNxp5HnUqFG0bdt2j8+bPh323ReOOaZBy5EktVAuLJSa2G23QbducPXVdXt+RUUFhYWFVbtzNPgJem+9BRMnJgH65pvh7LOTcL0nMSajzh98kATnSZPghhsadOePHW3fvp1FixZV7c5R0yg0wKWXJgH6Bz9olJIkSfnD3TmkXPTqq0m+fPfdJj/tuvZihKefhkceSaZ4vP02zJkDRx2VjCwfdRSUl8MzzyTtL7yQBOcJE6CoCPbZJ+2fYBevv54s7qxF3pYktWyGaCkXxZgcNz11asonGH7FunXrWLhwIa1atWLgwIHss2MQfuONZG7z0qWwdi388Y/Jfn0//SkcdxycckryOUd/K1iyBPbbL5nOIUlSDQzRUq569FHo2TN3tlorLCzkiSeeoLKyEkgW6l100UUcfPDBKVfWME49NZmhcu65aVciSWoGDNFSLvtiGnEubLd2//3377JF3MEHH8x3v/vdlCpqOMuWwQknJFth17D2UJIk8LAVKbfdeCM8+GDaVSQLFavbY7m6/Zibo0cegQsvNEBLkhqWIVpKyemnJyE67f8MKigoYP9qtqE74IADUqim4V1wAfzoR2lXIUnKN4ZoKSUjR9b/BMOGMmbMGFrvsI1du3btGD16dIoVNYzCQmjfHg45JO1KJEn5xjnRUoqeeAIOPDA5FTttJSUlLFq0iIKCAvr161fj4SXNwbnnwqhRXx5yI0lSLbiwUGoOysuTBYbt2qVdSX7517+gb1/45JOc3LZakpS7ahWic2BfAKllmzChiPLypQwf/n/06dOHESNG1HkUeMOGDbz22musWLGCnj17MmLEiD2e5rdx48aq63v06MFJJ51Ejx496vqjVFmyZAmzZs1iy5YtHHnkkQwfPnyn6SK7s3nzZqZPn87y5cvp1q0bw4cP52tf+1qdapg6NTm53AAtSWoMjkRLKVq5ciW33vo3pk0bz3XX/YaCgljnreXKy8u5//77KS4urmpr374911xzDe3bt9/l+m3btvHAAw+wadOmqra2bdtyzTXX0LFjx7r9QMAHH3zAY489tlNb//79ObeGTZorKyuZPHkyn3/+eVVb69atmThxIl27ds26jtWroazM+dCSpKy5xZ2U6+bMmUOvXivo1KmYJUuOBGD58uWsWrUq63u9//77OwVogC1btjB//vxqr1+8ePFOARqgtLR0t9fX1uzZs2tV21d99NFHOwVoSIL+3Llzs66hsDAJ0QZoSVJjMURLKSorKwNg9OiX6dz5y0BbWlpa53vVtn13r1GX167N83dXR2PUc8cd8MILWT9NkqRaM0RLKerXrx8AhxyynG7d1lNc3IGOHTvW6bjtI488klatdv0r/cVr1Pf62qru+T169Njj3GyAww8/nDZt2uzS3r9//6xev6gI/vpXuPjirJ4mSVJWDNFSio4++uiqRXdvvTWYWbP+jfPPP5+CgoKs79WlSxfGjRtXNZ+5ffv2jB07drcLBTt37sz48ePp1KkTkOwNfcYZZ9CrV6+6/0DA17/+dQYNGlT1M/Ts2bPG+dCQzMc+77zz2CezEnDvvfdm9OjRHHrooVm9/p/+lGxrV88fQ5KkPXJhoZQDysvL+eSTrQwe3JmlSwPdutX9XhUVFRQVFdGpUyf22msv1qxZw8yZM9mwYQO9e/dm2LBh7L333lXXV1ZWsmnTpqrrG0ppaSllZWVVobi2Yoxs3LiRjh071mpHj68qKYGNGyFPDlyUJDU994mWmptLLoEBA+CmmxrmfuvXr+fBBx+kvLy8qu2ggw7isssua5gXyDHz58P69XDyyWlXIklqxtwnWmpufvKT5PCVhjJnzpydAjTAp59+yqeffspBBx3UcC/UCGbPns3cuXOJMTJw4EBOPPFEQtjz+9rtt8PgwYZoSVLjM0RLOaRPH1ixAt55B44/vv7327JlS7XtJSUl9b95I5oxYwYvv/xy1ePVq1dTWlrKyJEjd/uctWvhb3+DBx5oigolSS2dCwulHPPOOzBhAjTETKsjjjhil7Y2bdpkvVivqVW313R1bTt6/HEYNw723bexqpIk6UuGaCnHnH46bNkC06fX/179+/dnyJAhVVvZdejQgXPOOWenhYW5qLo9pcvKytjTGo5rr4W7727MqiRJ+pILC6UcNGUKPPdc8tEQtmzZwqZNm+jRo0edts9ras8999wuJxUOGDCA8ePHV3v9jBmwbh2MHdsU1UmS8py7c0jNVWkpbNjQcvc6Lisr49lnn2Xx4sXEGOnbty9nn3027dq1q/b6M8+Es86C732viQuVJOUjQ7TUnK1YAc8/37KD4datW4kx0r59+91e89FHyY4cn3wCHTo0YXGSpHxVqxDtnGgpR7VtC5MmwcqVaVeSnnbt2u0xQAM8/TRcfrkBWpLUtByJlnLYddcl4fCXv0y7kkRpaSlvvvkmn332Gd27d2fIkCF07tw57bLYtg3qcLihJEnVcTqH1Nx9/DGcdhosWgRprwesrKxkypQprFq1qqqtU6dOXHXVVbudq9zY/vAH6NrVBYWSpAbldA6puTv0UFiwIP0ADbB06dKdAjRAcXEx8+bNS6Weigr42c+gZ89UXl6S1MIZoqUcV1AA558PmzenW0dRUVG17cXFxU1cSeLZZ5PdSwYPTuXlJUktnCFaynF77ZV8njw53Tr69OlDCLv+D9fhhx+eQjUwdy788IepvLQkSc6JlpqDBQvgm9+EDz+EGjaraFRz5szhxRdfZNu2bbRq1YohQ4YwatSo9AqSJKnhubBQyifXXgsTJsAxx6RbR2lpKatXr6Zbt2506tQplRquvhrGj4dTTknl5SVJ+c0QLeWbGKGyMjcWGqZl+XI47rhkVL5Ll7SrkSTlIXfnkPLND34ADz2UdhXpuusuuOwyA7QkKV2GaKkZueACuP12KCtLu5L0FBQkv0xIkpQmp3NIzcyZZ8KoUXD99WlX0vRKSjzeW5LU6JzOIeWj22+HPn3SrqLpFRXB4YfD55+nXYkkSYZoqdkZMADGjEn2SW5JHnwQRoyA7t3TrkSSJKdzSM3SsmUwaBAsXgz77Zd2NY2vpCQZfX/xRRg4MO1qJEl5zukcUr7q3RsuvBB+8Yu0K2kaFRVw550GaElS7nAkWmqm1qyB/v1h4ULo1SvtahrP5s3wwQfJ3tCSJDUBD1uR8t3HHyej0qFWf92bp9tvh3nzYNq0tCuRJLUQhmipJZgyBY4/PvnIN8XFyVzo116Dfv3SrkaS1EI4J1pqKa67LjkSPN888ACcdpoBWpKUexyJlpq5ikDYqDIAAAkWSURBVAoYPBgmTUpONMwnJSWwZUvL2IFEkpQzHImWWoKCArj3XpgxI+1KGtbdd8OKFQZoSVJuciRayiP5ciz2okVw0klQWAhdu6ZdjSSphXEkWmpJysvh6KPh/ffTrqT+brkFbr7ZAC1Jyl31CtEhhHNDCO+FECpDCCfs0N47hLA1hDAv8/FfO3xvUAhhQQhhaQjhNyHk8+ZcUtNp0wZuvBGuuAIqK9Oupu7Wr0/2hr722rQrkSRp9+o7Er0QGAe8Xs33PowxHpv5mLhD+2TgCqBv5mNMPWuQlDFxImzfDr//fdqV1M22bdC5M7z8MrRtm3Y1kiTt3l71eXKMcRFAbQeTQwi9gM4xxlmZx/8NnAX8vT51SEoUFMDUqdC+fdqV1M2ddyYnMd5zT9qVSJK0Z405J/rQEMLcEMJrIYThmbYDgM92uOazTJukBtK3L7RrB7fd1rz2jl6+HO66C66/Pu1KJEmqWY0j0SGEl4Ge1XzrP2OMz+7maauAg2OM60IIg4BnQggDqH61Y63+mV+1alVtLpNEssjwySe7065dCd/+9ta0y6mVCRP25dJLt9G27Wb86y5JSkuvXr1qdV2NITrGOCrbF48xlgFlma/fDiF8CBxBMvJ84A6XHgisrM09a/sDSUpMmwYjRnRh3LguHHZY2tXU7KabYPjwtrRp0yntUiRJqlGjTOcIIewXQijIfH0YyQLCj2KMq4DiEMKJmV05LgZ2N5otqR7694dbb4WFC9OuZM9WrID77oNTT012GJEkqTmo7xZ3Z4cQPgOGAP8bQngh862TgPkhhHeBp4CJMcb1me9dBUwBlgIf4qJCqdFcdRWMHQuzZ6ddSfViTLbkW7++5mslScolnlgo5bmSEhgwIDlGe9y4tKvZ2W9/C1OmwJtvQuvWaVcjSRLgiYWSIDkG/Mkn4corYcmStKv5Uowwfz78+c8GaElS8+NItNRC/O53ybSOhx5KuxJYty6ZwtG3b9qVSJK0i1qNRBuipRakogJWr4auXZO9pNOwfTuceSYcfzz8/Ofp1CBJ0h4YoiXt6oYbkoNNnnwyOeGwKcUIl18OK1fCc885jUOSlJOcEy1pV7/6FRQXw8UXJ6PCTWnZsiRAP/WUAVqS1LwZoqUWZu+9k1HgrVthwYKme92//x16904+d+jQdK8rSVJjcDqH1MJNnZrsJb3PPo1z/8pKmDQpCc///GcyH1uSpBzmdA5Je1ZRATNnwuDB8P77DX//7dvhO99J9oE2QEuS8okhWmrBCgpg8mS4+WYYMQLmzWu4e5eUJPcfNAheeskALUnKL07nkATAu+/CUUcl86Q7dky+rovycrj33mQ/6vfegzZtGrZOSZIamdM5JNXeMcckiw6XLIFvfAMuvRTmzs3uHjNnJkeMv/IKvPiiAVqSlL8ciZa0i/XrkxMOX30Vnn8eZsxI2gcMgC5dIIRkPvWyZfDOO0lgvuWWpP3jj+GUU1ItX5Kk+vCwFUkN49e/hsceS0apy8qS7fGmTIHbbktGsEeOTPad7t497UolSao3Q7Skhrd1a3pHhkuS1AQM0ZIkSVKWXFgoSZIkNQZDtCRJkpQlQ7QkSZKUJUO0JEmSlCVDtCRJkpQlQ7QkSZKUJUO0JEmSlCVDtCRJkpQlQ7QkSZKUJUO0JEmSlCVDtCRJkpQlQ7QkSZKUJUO0JEmSlCVDtCRJkpQlQ7QkSZKUJUO0JEmSlCVDtCRJkpQlQ7QkSZKUJUO0JEmSlCVDtCRJkpQlQ7QkSZKUJUO0JEmSlCVDtCRJkpQlQ7QkSZKUJUO0JEmSlCVDtCRJkpQlQ7QkSZKUJUO0JEmSlCVDtCRJkpQlQ7QkSZKUJUO0JEmSlCVDtCRJkpQlQ7QkSZKUJUO0JEmSlKUQY0y7hloJITwPdE+7jhaoO/B52kWo0di/+c3+zX/2cX6zf9PxeYxxTE0XNZsQrXSEEObEGE9Iuw41Dvs3v9m/+c8+zm/2b25zOockSZKUJUO0JEmSlCVDtGryUNoFqFHZv/nN/s1/9nF+s39zmHOiJUmSpCw5Ei1JkiRlyRCtKiGEh0MIa0MIC3do6xpCeCmE8EHm875p1qi6CyEcFEL4RwhhUQjhvRDC9Zl2+zgPhBDahhDeCiG8m+nfn2XaDw0hvJnp3z+HENqkXavqLoRQEEKYG0L4n8xj+zdPhBCWhRAWhBDmhRDmZNp8f85hhmjt6A/AV/dF/HfglRhjX+CVzGM1T9uBH8UY+wEnAteEEPpjH+eLMuCUGOMxwLHAmBDCicCvgF9n+ncD8L0Ua1T9XQ8s2uGx/ZtfRsYYj91hWzvfn3OYIVpVYoyvA+u/0vwt4NHM148CZzVpUWowMcZVMcZ3Ml8Xk/xDfAD2cV6Iic2Zh60zHxE4BXgq027/NmMhhAOB04EpmccB+zff+f6cwwzRqsn+McZVkIQwoEfK9agBhBB6A8cBb2If543Mf/XPA9YCLwEfAhtjjNszl3xG8ouTmqd7gJuAyszjbti/+SQCL4YQ3g4hXJFp8/05h+2VdgGSmlYIoSPwF+CGGGNRMpilfBBjrACODSF0AZ4G+lV3WdNWpYYQQjgDWBtjfDuEcPIXzdVcav82X8NijCtDCD2Al0IIi9MuSHvmSLRqsiaE0Asg83ltyvWoHkIIrUkC9J9ijH/NNNvHeSbGuBGYTjL3vUsI4YsBkwOBlWnVpXoZBowNISwDppFM47gH+zdvxBhXZj6vJfkleDC+P+c0Q7Rq8hxwSebrS4BnU6xF9ZCZP/l7YFGM8e4dvmUf54EQwn6ZEWhCCO2AUSTz3v8BjM9cZv82UzHGW2KMB8YYewMXAK/GGL+N/ZsXQggdQgidvvga+CawEN+fc5qHrahKCOFx4GSgO7AG+CnwDPAEcDCwHDg3xvjVxYdqBkII3wDeABbw5ZzK/yCZF20fN3MhhIEkC48KSAZInogx3hpCOIxk5LIrMBe4KMZYll6lqq/MdI4bY4xn2L/5IdOPT2ce7gU8FmP8eQihG74/5yxDtCRJkpQlp3NIkiRJWTJES5IkSVkyREuSJElZMkRLkiRJWTJES5IkSVkyREuSJElZMkRLkiRJWTJES5IkSVn6f1yZvhMFgVxCAAAAAElFTkSuQmCC\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from pygam.datasets import mcycle\n", "\n", "X, y = mcycle(return_X_y=True)\n", "\n", "gam = LinearGAM().gridsearch(X, y)\n", "XX = gam.generate_X_grid()\n", "\n", "plt.plot(XX, gam.predict(XX), 'r--')\n", "plt.plot(XX, gam.prediction_intervals(XX, width=.95), color='b', ls='--')\n", "\n", "plt.scatter(X, y, facecolor='gray', edgecolors='none')\n", "plt.title('95% prediction interval')\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "And simulate from the posterior:" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0.5,1,'draw samples from the posterior of the coefficients')" ] }, "execution_count": 6, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# continuing last example with the mcycle dataset\n", "for response in gam.sample(X, y, quantity='y', n_draws=50, sample_at_X=XX):\n", " plt.scatter(XX, response, alpha=.03, color='k')\n", "plt.plot(XX, gam.predict(XX), 'r--')\n", "plt.plot(XX, gam.prediction_intervals(XX, width=.95), color='b', ls='--')\n", "plt.title('draw samples from the posterior of the coefficients')\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Classification\n", "\n", "For **binary classification** problems, we can use a **logistic GAM** which models:\n", "\n", "$$\n", " log\\left(\\frac{P(y=1|X)}{P(y=0|X)}\\right)=\\beta_0+f_1(X_1)+f_2(X_2)+\\dots+f_p(X_p)\n", "$$" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "100% (11 of 11) |########################| Elapsed Time: 0:00:07 Time: 0:00:07\n" ] }, { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from pygam import LogisticGAM\n", "from pygam.datasets import default\n", "\n", "X, y = default(return_X_y=True)\n", "\n", "gam = LogisticGAM().gridsearch(X, y)\n", "XX = gam.generate_X_grid()\n", "\n", "fig, axs = plt.subplots(1, 3)\n", "titles = ['student', 'balance', 'income']\n", "\n", "for i, ax in enumerate(axs):\n", " pdep, confi = gam.partial_dependence(XX, feature=i, width=.95)\n", "\n", " ax.plot(XX[:, i], pdep)\n", " ax.plot(XX[:, i], confi[0], c='r', ls='--')\n", " ax.set_title(titles[i]) \n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can then check the accuracy:" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "0.9739" ] }, "execution_count": 8, "metadata": {}, "output_type": "execute_result" } ], "source": [ "gam.accuracy(X, y)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Since the **scale** of the **Binomial distribution** is known, our gridsearch minimizes the **Un-Biased Risk Estimator** (UBRE) objective:" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "LogisticGAM \n", "=============================================== ==========================================================\n", "Distribution: BinomialDist Effective DoF: 4.3643\n", "Link Function: LogitLink Log Likelihood: -788.7121\n", "Number of Samples: 10000 AIC: 1586.1527\n", " AICc: 1586.1595\n", " UBRE: 2.159\n", " Scale: 1.0\n", " Pseudo R-Squared: 0.4599\n", "==========================================================================================================\n", "Feature Function Data Type Num Splines Spline Order Linear Fit Lambda P > x Sig. Code \n", "================== ============== ============= ============= =========== ========== ========== ==========\n", "feature 1 categorical 2 0 False 1000.0 4.41e-03 ** \n", "feature 2 numerical 25 3 False 1000.0 0.00e+00 *** \n", "feature 3 numerical 25 3 False 1000.0 2.35e-02 * \n", "intercept 0.00e+00 *** \n", "==========================================================================================================\n", "Significance codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1\n", "\n", "WARNING: Fitting splines and a linear function to a feature introduces a model identifiability problem\n", " which can cause p-values to appear significant when they are not.\n", "\n", "WARNING: p-values calculated in this manner behave correctly for un-penalized models or models with\n", " known smoothing parameters, but when smoothing parameters have been estimated, the p-values\n", " are typically lower than they should be, meaning that the tests reject the null too readily.\n" ] } ], "source": [ "gam.summary()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Poisson and Histogram Smoothing\n", "We can intuitively perform **histogram smoothing** by modeling the counts in each bin\n", "as being distributed Poisson via **PoissonGAM**." ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "100% (11 of 11) |########################| Elapsed Time: 0:00:00 Time: 0:00:00\n" ] }, { "data": { "text/plain": [ "Text(0.5,1,'Best Lambda: 3.98')" ] }, "execution_count": 10, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from pygam import PoissonGAM\n", "from pygam.datasets import faithful\n", "\n", "X, y = faithful(return_X_y=True)\n", "\n", "gam = PoissonGAM().gridsearch(X, y)\n", "\n", "plt.hist(faithful(return_X_y=False)['eruptions'], bins=200, color='k');\n", "plt.plot(X, gam.predict(X), color='r')\n", "plt.title('Best Lambda: {0:.2f}'.format(gam.lam))\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Custom Models\n", "\n", "It's also easy to build custom models, by using the base **GAM** class and specifying the **distribution** and the **link function**.`" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "100% (11 of 11) |########################| Elapsed Time: 0:00:00 Time: 0:00:00\n" ] }, { "data": { "text/plain": [ "Text(0,0.5,'predicted volume')" ] }, "execution_count": 11, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from pygam import GAM\n", "from pygam.datasets import trees\n", "\n", "X, y = trees(return_X_y=True)\n", "\n", "gam = GAM(distribution='gamma', link='log', n_splines=4)\n", "gam.gridsearch(X, y)\n", "\n", "plt.scatter(y, gam.predict(X))\n", "plt.xlabel('true volume')\n", "plt.ylabel('predicted volume')\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can check the quality of the fit by looking at the Pseudo R-Squared:" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "GAM \n", "=============================================== ==========================================================\n", "Distribution: GammaDist Effective DoF: 4.1544\n", "Link Function: LogLink Log Likelihood: -66.9372\n", "Number of Samples: 31 AIC: 144.1832\n", " AICc: 146.7368\n", " GCV: 0.0095\n", " Scale: 0.0073\n", " Pseudo R-Squared: 0.9767\n", "==========================================================================================================\n", "Feature Function Data Type Num Splines Spline Order Linear Fit Lambda P > x Sig. Code \n", "================== ============== ============= ============= =========== ========== ========== ==========\n", "feature 1 numerical 4 3 False 0.0158 1.11e-16 *** \n", "feature 2 numerical 4 3 False 0.0158 8.28e-05 *** \n", "intercept 1.11e-16 *** \n", "==========================================================================================================\n", "Significance codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1\n", "\n", "WARNING: Fitting splines and a linear function to a feature introduces a model identifiability problem\n", " which can cause p-values to appear significant when they are not.\n", "\n", "WARNING: p-values calculated in this manner behave correctly for un-penalized models or models with\n", " known smoothing parameters, but when smoothing parameters have been estimated, the p-values\n", " are typically lower than they should be, meaning that the tests reject the null too readily.\n" ] } ], "source": [ "gam.summary()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Penalties / Constraints\n", "\n", "With GAMs we can encode **prior knowledge** and **control overfitting** by using penalties and constraints.\n", "\n", "**Available penalties**\n", "- second derivative smoothing (default on numerical features)\n", "- L2 smoothing (default on categorical features)\n", "\n", "**Availabe constraints**\n", "- monotonic increasing/decreasing smoothing\n", "- convex/concave smoothing\n", "- periodic smoothing [soon...]\n", "\n", "\n", "We can inject our intuition into our model by using **monotonic** and **concave** constraints:\n" ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 13, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from pygam import LinearGAM\n", "from pygam.datasets import hepatitis\n", "\n", "X, y = hepatitis(return_X_y=True)\n", "\n", "gam1 = LinearGAM(constraints='monotonic_inc').fit(X, y)\n", "gam2 = LinearGAM(constraints='concave').fit(X, y)\n", "\n", "fig, ax = plt.subplots(1, 2)\n", "ax[0].plot(X, y, label='data')\n", "ax[0].plot(X, gam1.predict(X), label='monotonic fit')\n", "ax[0].legend()\n", "\n", "ax[1].plot(X, y, label='data')\n", "ax[1].plot(X, gam2.predict(X), label='concave fit')\n", "ax[1].legend()\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## API\n", "\n", "pyGAM is intuitive, modular, and adheres to a familiar API:" ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "LogisticGAM(callbacks=[Deviance(), Diffs(), Accuracy()], \n", " constraints=None, dtype='auto', fit_intercept=True, \n", " fit_linear=False, fit_splines=True, lam=0.6, max_iter=100, \n", " n_splines=25, penalties='auto', spline_order=3, tol=0.0001, \n", " verbose=False)" ] }, "execution_count": 14, "metadata": {}, "output_type": "execute_result" } ], "source": [ "from pygam import LogisticGAM\n", "from pygam.datasets import toy_classification\n", "\n", "X, y = toy_classification(return_X_y=True, n=5000)\n", "\n", "gam = LogisticGAM()\n", "gam.fit(X, y)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Since GAMs are additive, it is also super easy to visualize each individual **feature function**, `f_i(X_i)`. These feature functions describe the effect of each `X_i` on `y` individually while marginalizing out all other predictors:\n" ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import numpy as np\n", "\n", "pdeps = gam.partial_dependence(np.sort(X, axis=0))\n", "_ = plt.plot(pdeps)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Current Features\n", "\n", "### Models\n", "pyGAM comes with many models out-of-the-box:\n", "\n", "- GAM (base class for constructing custom models)\n", "- LinearGAM\n", "- LogisticGAM\n", "- GammaGAM\n", "- PoissonGAM\n", "- InvGaussGAM\n", "\n", "You can mix and match distributions with link functions to create custom models!" ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "GAM(callbacks=['deviance', 'diffs'], constraints=None, \n", " distribution='gamma', dtype='auto', fit_intercept=True, \n", " fit_linear=False, fit_splines=True, lam=0.6, link='inverse', \n", " max_iter=100, n_splines=25, penalties='auto', spline_order=3, \n", " tol=0.0001, verbose=False)" ] }, "execution_count": 16, "metadata": {}, "output_type": "execute_result" } ], "source": [ "GAM(distribution='gamma', link='inverse')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Distributions\n", "\n", "- Normal\n", "- Binomial\n", "- Gamma\n", "- Poisson\n", "- Inverse Gaussian\n", "\n", "### Link Functions\n", "Link functions take the distribution mean to the linear prediction. These are the canonical link functions for the above distributions:\n", "\n", "- Identity\n", "- Logit\n", "- Inverse\n", "- Log\n", "- Inverse-squared\n", "\n", "### Callbacks\n", "Callbacks are performed during each optimization iteration. It's also easy to write your own.\n", "\n", "- deviance - model deviance\n", "- diffs - differences of coefficient norm\n", "- accuracy - model accuracy for LogisticGAM\n", "- coef - coefficient logging\n", "\n", "You can check a callback by inspecting:\n" ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "_ = plt.plot(gam.logs_['deviance'])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Linear Extrapolation" ] }, { "cell_type": "code", "execution_count": 18, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "100% (11 of 11) |########################| Elapsed Time: 0:00:00 Time: 0:00:00\n" ] }, { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "X, y = mcycle()\n", "\n", "gam = LinearGAM()\n", "gam.gridsearch(X, y)\n", "\n", "XX = gam.generate_X_grid()\n", "\n", "m = X.min()\n", "M = X.max()\n", "XX = np.linspace(m - 10, M + 10, 500)\n", "Xl = np.linspace(m - 10, m, 50)\n", "Xr = np.linspace(M, M + 10, 50)\n", "\n", "plt.figure()\n", "\n", "plt.plot(XX, gam.predict(XX), 'k')\n", "plt.plot(Xl, gam.confidence_intervals(Xl), color='b', ls='--')\n", "plt.plot(Xr, gam.confidence_intervals(Xr), color='b', ls='--')\n", "_ = plt.plot(X, gam.confidence_intervals(X), color='r', ls='--')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Citing pyGAM\n", "Please consider citing pyGAM if it has helped you in your research or work:\n", "\n", "Daniel Servén, & Charlie Brummitt. (2018, March 27). pyGAM: Generalized Additive Models in Python. Zenodo. [DOI: 10.5281/zenodo.1208723](http://doi.org/10.5281/zenodo.1208723)\n", "\n", "BibTex:\n", "\n", " @misc{daniel\\_serven\\_2018_1208723,\n", " author = {Daniel Servén and\n", " Charlie Brummitt},\n", " title = {pyGAM: Generalized Additive Models in Python},\n", " month = mar,\n", " year = 2018,\n", " doi = {10.5281/zenodo.1208723},\n", " url = {https://doi.org/10.5281/zenodo.1208723}\n", " }\n", "\n", "## References\n", "1. Simon N. Wood, 2006 \n", "Generalized Additive Models: an introduction with R\n", "\n", "0. Hastie, Tibshirani, Friedman \n", "The Elements of Statistical Learning \n", "http://statweb.stanford.edu/~tibs/ElemStatLearn/printings/ESLII_print10.pdf \n", "\n", "0. James, Witten, Hastie and Tibshirani \n", "An Introduction to Statistical Learning \n", "http://www-bcf.usc.edu/~gareth/ISL/ISLR%20Sixth%20Printing.pdf \n", "\n", "0. Paul Eilers & Brian Marx, 1996\n", "Flexible Smoothing with B-splines and Penalties\n", "http://www.stat.washington.edu/courses/stat527/s13/readings/EilersMarx_StatSci_1996.pdf\n", "\n", "0. Kim Larsen, 2015 \n", "GAM: The Predictive Modeling Silver Bullet \n", "http://multithreaded.stitchfix.com/assets/files/gam.pdf \n", "\n", "0. Deva Ramanan, 2008 \n", "UCI Machine Learning: Notes on IRLS \n", "http://www.ics.uci.edu/~dramanan/teaching/ics273a_winter08/homework/irls_notes.pdf \n", "\n", "0. Paul Eilers & Brian Marx, 2015 \n", "International Biometric Society: A Crash Course on P-splines \n", "http://www.ibschannel2015.nl/project/userfiles/Crash_course_handout.pdf\n", "\n", "0. Keiding, Niels, 1991 \n", "Age-specific incidence and prevalence: a statistical perspective\n" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] } ], "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": "3.6.4" } }, "nbformat": 4, "nbformat_minor": 2 }