{ "cells": [ { "cell_type": "markdown", "id": "677c5e27", "metadata": {}, "source": [ "Starting with MLE and logistic regression model\n" ] }, { "cell_type": "markdown", "id": "2520b517", "metadata": {}, "source": [ "Prerequisites\n", "Make sure you have the necessary Python libraries installed:\n", "pip install numpy pandas scikit-learn scipy matplotlib statsmodels\n", "\n", "\n" ] }, { "cell_type": "markdown", "id": "97cb296e", "metadata": {}, "source": [ "1. Skealearn library\n", "Bootstrapping Method\n", "Mean S curve-should be corrected" ] }, { "cell_type": "code", "execution_count": 4, "id": "480f64ff", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Intercept (w0): -11.683190353932442\n", "Coefficient (w1): 5.687089258005263\n", "Standard errors: [3.50977855 1.95402341]\n", "95% CI for Intercept (w0): (-18.562229897321522, -4.804150810543363)\n", "95% CI for Coefficient (w1): (1.8572737464039735, 9.516904769606551)\n", "params:\n", "[-11.68319035 5.68708926]\n", "covariance matrix:\n", "[[12.31854544 -6.71118734]\n", " [-6.71118734 3.81820749]]\n" ] }, { "data": { "image/png": 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SlZYmTjU1NSoiIkKdcsop9eYdNmyYysjIUF6vt+kd9be6z5WFCxcGyn7//XcFqFtvvbXRZeo+4+bPn690Op0qLy8PTDuYxOn4449X3bp1C/xAV+eKK65QZrO53naECAapqidEGzn88MMxGAxERkZy8sknk5KSwieffEJycnK9+U4//fR6j5csWUJMTAwTJkzA4/EEboMHDyYlJSVQVW758uUADdpLTZo0Cb1+380XN27cyF9//cWFF16I2Ww+yGfq98UXXxAeHt6gUX9d736ff/55vfIxY8YQGRkZeJycnExSUlK9alL7cuONN2IwGDCbzQwbNowdO3bw3//+l5NOOqnefHvv37r9tmevgwCHHnooffr0aRBnZGQkp5xySr2yyZMn4/P5+OqrrwJlX3zxBWPHjiU6OhqdTofBYOCOO+6grKyM4uLiesv369ePQYMGNVhndXU1P/30U7Oe/4EYPXo0gwYNqlftZdasWWg0Gi6++OJ9LvvFF1/Qt29fDj300Hrl559/PkopvvjiiwOKacWKFWzevJlp06ah0+kAf7U5jUbTaJU08Dd6X716db1ba/QiqPaqVrlkyRI0Gg3nnXdevfdiSkoKgwYNalD1tTmvlea+v+sMHjyYzMzMwGOz2Uxubm6998ny5cs59thj63226HQ6zjrrrGY/9/Hjxwf2PxDoia1uOxs2bKCwsJBJkybVWy4zM5Mjjzxyv+tv6fsuJSWlwWtt4MCBzf58GDNmTL1OePr06QPAiSeeWK+NY135nustLi7m0ksvJSMjA71ej8FgICsrC4D169fX286kSZO47LLLuP7667n33nu55ZZbOO644+rNk5OTwy+//MKKFSuYOXMmY8eOZfXq1VxxxRUcccQROByOZj2nxkRERDBp0iQ+/vjjQOcqv//+O2vWrOH8889vVlXASZMmERkZWe/9NmfOHDQaDdOnTw+U/fzzz5xyyinEx8cHPuOmTp2K1+tl48aNB/wc6jgcDj7//HNOPfVULBZLvffHSSedhMPhaLT6qBDtSTqHEKKNzJ8/nz59+qDX60lOTm60jrvFYiEqKqpeWVFREZWVlRiNxkbXW1fPvqysDPCfYOxJr9fvs047EGhL0VTj+wNRVlYW6E56T0lJSej1+kC8dRqL0WQyYbfbm7W9q666ivPOOw+tVktMTEygHdbe9t7vdXE0djzS0tIanJjtnejCP/u8bl2rVq1i3LhxjB49mpdeeolu3bphNBpZvHgx9913X4PntPcxa2ydbeXKK6/koosuYsOGDfTo0YOXXnqJM844o9GY9lRWVtZoO5a0tLTA9AMxe/ZsAE499dRAt/fR0dEcddRRvPfeezz77LMNenQcNGjQAXcOsS91x77uORUVFaGUavQ1AP4e+vbUnNdKc9/fdZrzPql77zW17ebYezsmkwkgsJ26+Bt7jsnJyWzdunWf62/p++5gPx/i4uLqPa7b302V1yUvPp+PcePGkZ+fz+23386AAQMIDw/H5/Nx+OGHN7r9Cy64gBdeeAGj0ciVV17ZaDxarZaRI0cycuRIwN+j44UXXshbb73FnDlzuPzyywF/wrt3m7g6de2YDAZDvfILL7yQOXPm8Oqrr/J///d/jSY9+2KxWDj77LOZO3cuhYWFJCQk8NprrzFq1KhA5zM7duzg6KOPJi8vj6eeeors7GzMZjOrVq3iP//5T7OPy76UlZXh8Xh45plneOaZZxqdZ+/3hxDtTRInIdpInz59Ar3qNaWxE/2EhATi4+NZunRpo8vUXaWpO7EoLCwkPT09MN3j8ez3JLauh6SmOkM4EPHx8fzwww8opeo9r+LiYjweT6uf6Hbr1m2/+xca7uO6/VZQUNAgcczPz28QZ92vuHsqLCyst64333wTg8HAkiVL6l3Ba+oqSN3y+1pnW5k8eTI33ngjzz33HIcffjiFhYX85z//2e9y8fHxFBQUNCjPz88HOKDjW1VVxXvvvQfAIYcc0ug8CxYsCJxUtrUPPvgAjUYTOLlNSEhAo9Hw9ddfBxKJPe1d1pzXSnPf3y0RHx+/z9dUa6iLf1/PsTnLN/d9Fyy///47v/zyC/PmzWPatGmB8r07kKhjtVqZMmUKubm5FBUVcdFFF/H+++/vdzvh4eHcfPPNvPXWW/z++++B8uTk5CbH+6sr3zt5HTFiBH369GHu3LlcddVVvPbaaxxzzDF07959v3HUufDCC3nppZeYP38+ubm5FBcX89hjjwWmL168GKvVysKFCwNX3wDWrl2733XXfSbu3UnQ3t9TsbGx6HQ6pkyZ0uRnUkuekxBtQarqCdHBnHzyyZSVleH1ehk+fHiDW15eHkCgZ6y6MWnqvP322w16WNpbbm4uOTk5zJkzp8GX2Z72/tV5X4499lhqa2sbJAvz588PTO8IjjnmGABee+21euWrV69m/fr1DeKsqanhgw8+qFe2YMGCwC/IQGCg4z2rOtntdl599dVGY/jjjz/45ZdfGqwzMjKSoUOHHtgT28O+fpk3m81cfPHFvPLKKzz++OMMHjy4WVWtjj32WNatW9egKuH8+fPRaDSMGTOmxXEuWLAAu93OPffcw/LlyxvcEhISmqyu19rmzp3LJ598wjnnnBOoGnfyySejlGL37t2NvhcHDBhQbx3Nea009/3dEmPGjOHzzz+vl9R4vd5W7VY9Ly+PlJQU3n777XrlO3bs4Lvvvtvv8i193wVL3Q8teyfF//3vfxud/9JLL2XHjh0sXLiQ2bNn88EHH/DEE0/Um6exHxzgn2p/dVc4AcaOHcvy5csb9LColOKdd94hOzubnj17NljXBRdcwLp167jtttsoKSkJ9ITXXIcddhj9+/dn7ty5zJ07l+jo6HrVnBvbL0qpJod+2FNycjJms5lff/21XvneCabFYmHMmDH8/PPPDBw4sNH3R1v/sCTE/sgVJyE6mLPPPpvXX3+dk046iauuuopDDz0Ug8HArl27WL58ORMnTuTUU0+lT58+nHfeeTz55JMYDAbGjh3L77//zqOPPtqg+l9jnnvuOSZMmMDhhx/ONddcQ2ZmJjt27ODTTz8NJGN1J4ZPPfUU06ZNw2AwkJeX1+iv4lOnTuW5555j2rRpbNu2jQEDBvDNN99w//33c9JJJzF27NjW3VEHKC8vj4svvphnnnkGrVbLiSeeyLZt27j99tvJyMjgmmuuqTd/fHw8l112GTt27CA3N5ePP/6Yl156icsuuyxwgj1+/Hgef/xxJk+ezMUXX0xZWRmPPvpoo1cpwH+idMopp3DXXXeRmprKa6+9xrJly3jooYdaZRyvAQMG8OWXX/Lhhx+SmppKZGRkvRPyyy+/nIcffpg1a9bw8ssvN2ud11xzDfPnz2f8+PHcfffdZGVl8dFHH/H8889z2WWXkZub2+I4Z8+eTWxsLP/3f//XaFu7qVOn8vjjj/PLL7/UaxO2Zs2aRgep7du3735f+3a7PdBOwm63s2XLFhYvXsySJUsYNWoUs2bNCsx75JFHcvHFFzN9+nR+/PFHRo4cSXh4OAUFBXzzzTcMGDCAyy67LDB/c14rzX1/t8Rtt93GBx98wDHHHMMdd9yBxWLhueeew2q1tmg9+6LVapk5cyaXXHIJZ5xxBhdccAGVlZXMnDmT1NTU/balaen7Llh69+5NTk4ON910E0op4uLi+PDDD1m2bFmDeV9++WVee+015s6dS79+/ejXrx9XXHEFN954I0ceeWSgjVa/fv049thjOfHEE8nJycHhcPDDDz/w2GOPkZycHOgSHOCOO+7gww8/5LDDDuOmm26iV69eFBYW8tJLL7F69eoGiWudqVOncsstt/DII48QExPDaaed1uLnfsEFF3DttdeyYcMGLrnkEsLCwgLTjjvuOIxGI+eccw433HADDoeDF154gYqKiv2ut66d4Jw5c8jJyWHQoEGsWrWKBQsWNJj3qaee4qijjuLoo4/msssuIzs7m5qaGjZv3syHH354wG0phWg1weuXQojQ1FR35HubNm2aCg8Pb3Sa2+1Wjz76qBo0aJAym80qIiJC9e7dW11yySVq06ZNgfmcTqe67rrrVFJSkjKbzerwww9XK1euVFlZWfvtVU8pf69hJ554ooqOjlYmk0nl5OQ06KXv5ptvVmlpaUqr1dZbx969cymlVFlZmbr00ktVamqq0uv1KisrS918880NuqOmiZ6j9o67MU11R763fR0Hr9erHnroIZWbm6sMBoNKSEhQ5513ntq5c2e9+ep6Yfvyyy/V8OHDlclkUqmpqeqWW25p0HX3nDlzVF5enjKZTKpHjx7qgQceULNnz27Qq1ldj3Pvvvuu6tevnzIajSo7O1s9/vjjjT7PA+lVb+3aterII49UFotFAQ2Ok1JKjR49WsXFxdXr/np/tm/friZPnqzi4+OVwWBQeXl56pFHHmnQc1dzetWr6z7+6quvbnKeP//8UwFqxowZSql996oHqGXLlu1zm3W9tdXdwsPDVY8ePdQZZ5yh3nnnnSZ7IJszZ4467LDDVHh4uAoLC1M5OTlq6tSp6scff6y37ua+Vpr7/m5qPzb23vv222/V4Ycfrkwmk0pJSVHXX3+9evHFF5vdq15j7yf26vFMKaVefPFF1bNnT2U0GlVubq6aM2eOmjhxohoyZEij+25PLX3f7a2x13pjGvt8aep51n02vvPOO4GydevWqeOOO05FRkaq2NhYdeaZZ6odO3bU2x+//vqrCgsLa/B55XA41LBhw1R2draqqKhQSvm7cT/ttNNUjx49lMViUUajUeXk5KhLL720wXNXSqlNmzap8847L/A5GhMTo8aNG9egl8m9nXrqqY32XNhcJSUlymg0KkCtWrWqwfQPP/ww8JpNT09X119/faAnyj2/Wxo7TlVVVeqiiy5SycnJKjw8XE2YMEFt27at0dfY1q1b1QUXXKDS09OVwWBQiYmJasSIEeree+89oOclRGvSKNXE6IxCCCFCUnFxMVlZWcyYMYOHH3442OGEhNGjR1NaWlqvvUpXUFlZSW5uLv/617948cUXgx2OEEK0KamqJ4QQXcSuXbvYsmULjzzyCFqtlquuuirYIYlOpLCwkPvuu48xY8YQHx/P9u3beeKJJ6ipqZHXkhCiS5DESQghuoiXX36Zu+++m+zsbF5//fV6vTEKsT8mk4lt27Zx+eWXU15ejsVi4fDDD2fWrFn069cv2OEJIUSbk6p6QgghhBBCCLEf0h25EEIIIYQQQuyHJE5CCCGEEEIIsR9dso2Tz+cjPz+fyMjIwKBuQgghhBBCiK5HKUVNTQ1paWn7HJeuSyZO+fn5ZGRkBDsMIYQQQgghRAexc+dOunXr1uT0Lpk4RUZGAv6ds79R5kXT3G43n332GePGjcNgMAQ7HNEIOUYdmxyfjk2OT8cnx6hjk+PTscnx+Ud1dTUZGRmBHKEpXTJxqqueFxUVJYnTQXC73VgsFqKiorr8G66jkmPUscnx6djk+HR8cow6Njk+HZscn4b214RHOocQQgghhBBCiP2QxEkIIYQQQggh9kMSJyGEEEIIIYTYD0mchBBCCCGEEGI/JHESQgghhBBCiP2QxEkIIYQQQggh9kMSJyGEEEIIIYTYD0mchBBCCCGEEGI/JHESQgghhBBCiP2QxEkIIYQQQggh9kMSJyGEEEIIIYTYD0mchBBCCCGEEGI/JHESQgghhBBCiP3QBzsAIUQX4fPB5s1QVQXR0dCzJ2jlt5tWsee+jYz0l9XUtO1+luMphBDiQHXS7xBJnIQQbe/nn+GVV2D9enA4wGyGPn1g2jQYMiTY0XVue+7b0lL/DSAhwX9ri/0sx1MIIcSB6sTfIUFP7b766ismTJhAWloaGo2GxYsX73eZFStWMGzYMMxmMz169GDWrFltH6gQ4sD8/DPcfTesWQNxcdCrl/9+zRp/+c8/BzvCzmvPfavRQFkZ2Gz+W2mpv6y197McTyGEEAeqk3+HBD1xslqtDBo0iGeffbZZ82/dupWTTjqJo48+mp9//plbbrmFK6+8kvfee6+NIxVCtJjP5/9VqbTU/2tSVBTodP77Pn385fPn++cTLbPnvu3dG3bvBqfTf5UpPt7/d36+f1pr7Wc5nkIIIQ5UCHyHBL2q3oknnsiJJ57Y7PlnzZpFZmYmTz75JAB9+vThxx9/5NFHH+X0009vdBmn04nT6Qw8rq6uBsDtduN2uw88+C6ubt/JPuy4gn6MNm/237KzwWBoOD07GzZtgg0b/PWbu5iDOj577lu73V/dIS7un/0cF+cvt9labz93seMZ9PeP2K9Oc4x8PvB4mr55vf/c73HT+HwNyqgr2/O+7rb3Y6Wa/FuzZ1lj93W3vR835wb+e6+X3lu2wLff4tVqG07f8+86e5c1dt+c+fee3tjj/c3bxDTNAS7XIu2wnMbnY3B+Ppr33sO3v/ZFBxrPnqqr4ccfwWgMVCtXcXH4Bg/2Tw/id0hzP0M0SrXGnmgdGo2GRYsW8a9//avJeUaOHMmQIUN46qmnAmWLFi1i0qRJ2Gw2DI18md91113MnDmzQfmCBQuwWCytErsQQgghOgil0Ho86JxOdA4HOqcTvdPpf+x0onO50Lpc6P6+1f2tdbvRud1oXS60Hg9at/ufMrcbrceDxuv1T6ub7vGg8XjQ/l2u2fPe60Xj9TY80RZCAFA0ZAjf33lnsMPAZrMxefJkqqqqiIqKanK+oF9xaqnCwkKSk5PrlSUnJ+PxeCgtLSU1NbXBMjfffDPXXntt4HF1dTUZGRmMGzdunztH7Jvb7WbZsmUcd9xxjSasIviCfow2b4brr4fYWP+l+L1VV0NFBTzySEhcoWipgzo+e+5bpeCHH/y/4tWtx+UCtxsOPdTfU1Fr7OcQP55en9d/U/6b0+3khxU/MPSooWi0Gn+5z4tP+fAqLx6fB4/Xg0d58Pg8eH3+Mp/y4VM+FAql1D9/o/D//6ccQKm/p0Hgvm4+FKDhn3v++VuDBqUUGo0GhWrwGP6ZB2hW+d7TAmUaDe1F43ZjrKrFWFWLvtqK0WrDUG1FX2vFUG3FUGtDX2PDYLWhq7WjL7Oj99nR2+zobQ70Vjs6uwOtt+NW96nj02lROh2q7l6r9f/99z31Hu8xXaOBunKtFqXVgEaD0mpB679XGo3/b80/ZWj457Hm72UC8+3xWKPxz1t3FSJQvsff7PVYA7Dn36DQQDUQ7d9GvXX5Z/dvC/4po6my+tPYY5pC0/g8e65jz5fwPl7Pika22Yzl9rnOfb199vneapv3XWCfKIUqB03c/uI4SHWrrqmG1T+CyQQGPR58hEWYOOmzz/zTg/gdUlcbbX86XeIEDT/A9/zwb4zJZMJkMjUoNxgMcsLfCmQ/dnxBO0Z5ef4PvzVr/PWX93yPKgXbtsHw4f75OkE3pG3lgI7Pnvu2d29/r0SlpRAT49+3lZWQlAQWC/z5Z+vs5052PJVSeHweXF4Xbp8bt9cd+Nvr8+LwOHB5XTg9Tpxepz/5UX8nRj4vXo8XgDWFa/wtgvdIVgC0Gm29m0aj8d+jQaPVBMrr5tWgCXxP1f29v7JQoHE40ZdVYCgpw1BSjr607r4CQ1k5+vJKdBVV6Cur0VdUoau1tur2lV6H1xKGzxKGz2zGF2ZGmY34zCb/Y7MJZfr7scmEMhrwmYz+MqMRZTSgjEZ8RoP/b4P/3mcwoIx6/2O9HmXQN7zX6f55rNeDXucv0+v875EQOs6N8Xl95P+UT9rQNLS64H8miPra/fgoHzz+OKz/E7pnU6xzkOA1Y/B4gv4d0tzv4E6XOKWkpFBYWFivrLi4GL1eT3x8fJCiEkI0Sqv1dy+6fbu/29Fu3fwn8jYb7Nrl78hg6tQOcZLd6ey5b//8E9LT/b/W1XVHbrFAWpp/Wmvt5w54PJVSOL1OHB4HTo//3uqyUuOuweF24PF5cPvc/itDPk/g6k1dkqPT6NBpdYF7g9aATqvzJzw+KKaY9Kh0OelrgsbhxLirANOuAgwFRRgLSzAUFGMsKMJQUIKxoBh9ZVWL16s0GrzRUXijI/BEReKNjMAb/fd91N+38HC8ljBKS5xE9U9HRUXgC7fgDbfgC7fgCzPjtYSBodOd6gjRaQV+ePr7qnzgKn5d2bGH4CndgrdwPSWJ4Tj0MRxSbe405wSd7tPkiCOO4MMPP6xX9tlnnzF8+HC56iFERzRkCNxxxz9jNuTn+6+ODB/u/4Ds4GM2dGh779uEhPrjOCnV+vs5iMdTKYXNbaPWVYvVbaXCXkGNqwaX14XL47+SpNFo0KLFqDOi1+ox6AyY9Wb0Wj16bcu+8nx0/Kpe7UFXXon5r22Yt+zEuDMf0/ZdmHbmY9yZj7GwpFnr8Bn0eBLicSfE4kmMw50Q77+Pj8UTF4MnNgZvbDSemCg8sdF4oyP9vW3tb71//2Ku5IqG6OR8yuf/ocfr9v/Ys8ffjZUFfhT6u8zj8wRudeWBx3tN37O8tqwWQ6UBj/qnunGg6nFjZX9fmd9zPXsmRnVVkPepxz9/jqiM5NTyIzrNOUHQE6fa2lo2b94ceLx161bWrl1LXFwcmZmZ3HzzzezevZv58+cDcOmll/Lss89y7bXX8u9//5uVK1cye/Zs3njjjWA9BSHE/gwZAoMGdcpRwju8vfdtZKS/vKam7fZzOx1Pj89DrauWWlct1Y5qSu2l2Nw2HB4HAEatEZPehFlnJtoU3eLESOxBKYy7CzFv+Avzpm3+RGmz/2Yor9znot6IcJwZqbhTk3ClJuNOScSVmoQ7Jcl/n5yINyYq5Kulic5FKeX/0cXrwul11v/b4793e931pu19c/vc9R973bh8/vt6f/89n8frqVe2571XeYO3MyrbfhM6jQ69Vl/vCr/G5yOyZ1+47JlOc04Q9G+ZH3/8kTFjxgQe13XiMG3aNObNm0dBQQE7duwITO/evTsff/wx11xzDc899xxpaWk8/fTTTXZFLoToILRayM0NdhShKRj7to226fA4qHJUUWYro8hahNVlxe1zo9VosRgsRBojSQhLCKk2QO3O48G8aRuWPzZg+X0DYX9sxLJuI/rKphtHO9NTcPbIxJmZjjMrHVdGOs7MNJyZ6XhjoyUpEq1iz6q3drcdh8dR72b31C9zep2BKrp1y+1ZXtd+MXD/9991CVJHptVoMWgNgSvnBq0h8LiuTK/V15unbtretz2X2/Om0+iw7rYSnxmPXt/4snUJT2NlOq1uv4/rqkQ39pldbC0mwZIA6Z3n3CDoidPo0aMb9N6zp3nz5jUoGzVqFD/99FMbRiWEEKI9KKWwuq1UOioptZVSYi3B5raBBiIMESRYEjDopBr2wdAXlRKxei0Rq38hYs2vhK3bhNbpajCf0utw9MzG3rM7jp7ZOHpl4+iZjbNHFj5LWBAiFx2Z1+fF5rZhdVuxuW2N3qwuK0UFReh/0GP32rG77dg9/nubxxZIjurKHB5HvR4e24sGDSa9CaPOiFFnxKT75+/GbgatAZPehEFr8D/WGQLlgXn2KjNoDf4E6O8kqK468Z7T9kxydNr9V1U9WD6vj3x3Pml9paprcwU9cRJCCNH1ODwOSm2lFNQUUGYvw+62Y9AaiDBGkBaZFuiNTrSQUpj//IuIVWuJ+PEXIlb/gmlnfoPZvBHh2PrlYu+Xi61/HrZ+uTh69UCZjEEIWrQ3p8dJrauWGleN/95ZE/i77mZ1W/33LmvgsdVl9d+7rYEqs81S1PIYjTojYfowzHozJr0p8HfdY7PejFm3x996MyadKfC47m+TzvTP33s8NuqMgcd6rV6uYotmkcRJCCFEu/D6vJTbyym2FlNQU0CtuxaD1kCUKUqq3x0EfWk5UV/9QNSK74n66nsMxWX1piutFnvvntQeMgjr8IFYh/THmZXeKdoTiKZ5fV5qXbVUOauoclT5751VVDur691qnDVUu/75u65Dldai1+oJN4RjMVga3ML0YfgqfCSmJRJuDMesNwemmfVmwgxhWPT//G3WmwMJUntccRGipSRxEkII0aaqndWUWkvZWb2TSmclKIgyRdEtspskSwfC4yFi1VqiVnxP9Jcrsfy+od5kb5gZ6/CB1B4yyJ8sDemPLzIiSMGK5nJ6nFQ4KqiwV1DuKKfCXkGFo4JKR2XgVve4yuFPkA6mWpsGDRHGCCKMEUQaI4kw+f+OMEQQbgwnwhhBuCE8ME/dY4vRQrgh3H8zhmPUNX2VUsZxEqFGEichhBCtTilFhaOC3dW72V2zG5vbRoQhgpTwFOn97kB4PER+9yOxSz4n5pPlDXq6s/XPo3rU4VSPPJzaQwZJlbsOwuPzUGorpcxeRpmtrN59XXmFvYJyezlW94EN/BtuCCfKFEW0Odp/b4om2hRNpCmSKFMUkUb/fZQpyl9m9N9bDBapEitEC8m3lxBCiFbjUz7KbGXsqt5Ffk0+Hp+HWHMsiZbEYIfW+bg9RH27mtgl/yNm6ZfoK/4ZSNYTG03VMUdSPfoIqo8+FE+iDADfnpRS1LpqKbIWUVhbSLG1mBJbCaW20np/l9vLW7RevVZPXFgcseZY/y0slhhzTMObKYZosz9Bks5ThGg/kjgJIYQ4aF6flxJbCdsrt1Nk9bcEjw+Lx6w3Bzmyzse8fjOJCxYRt3Ap+sp/kiV3XAyVJ46h4uSx1IwYBnr5Cm8rHp/H3xavtoCCmoLAfZG1iCJrEcXWYn/vj82g0+hIsCQQHxZPvCU+cJ9gSSAuLI74sHhizbHEhcURYYyQ6qtCdGDyqSuEEOKglNnK2Fi2kWJrMXqtnkRL4j7bPYiGtDY7sR8uI+G1RUT89Fug3J0Q90+ydPgQSZZayZ5VSXfV7PLf/32VtKC2gGJrcbMGJI02RZMcnkxSeBKJ4YkkWhJJCk8iwZJAYngiSZYkos3RUiVOiBAhn8BCCCEOiNvrZmvlVjaXb8br85ISIe2XWirs9w0kvL6I+EWfoKvxt3FReh2V40ZSOvlUqkceBjrpXexAVToq2V61nR1VO9hRtYPtVdvZVbWLXTW79nvFyKA1kBqRSkpkCmkRaaREpJASkUJSeBLJ4ckkRyTLFVUhuhj5hhNCCNFidVeZCmoLiA+LJ8IovbY1m1JErfielGfmEvn9P4O5O7PSKZl8KmWTTsaTlBDEADsXn/Kxu2Y326u381fFX2yt2BpIlqqcVU0up0FDUngS6VHpdIvsRnpUOumR6aRFppEakUq8JV6uFAkh6pHESQghRLO5vW62VW7zX2VSXrpFdpPxVprL6yXmk+WkPDuP8N/+BMBn0FN5whhKzz2VmiOHy9hK+6CUosRWwsayjWwu3xxIkraUb8H1S9PjEiWHJ5MVnUVWTBaZ0ZlkRGXQLaobqRGpmPSmdnwGQojOThInIYQQzbLnVaY4cxyRpshgh9QpaFxu4hZ9Qspzr2D+azvgH2up9NxTKbrkPNxpyUGOsONxeV1sqdjCxrKNbCrfxKayTWwq39TkFSSD1kB2TDbdY7vTPcZ/y4zOJDM6U6rTCSFajSROQggh9kkpxY6qHawvXY/b6yY9Ml3aMjWH10vCmx+Q+uTLGPP9PQ16oiMpnn4WxReejTcuJrjxdRBur5u/Kv5ifel61pWs48/SP9lUvgmPz9NgXp1GR1ZMFr3iepETm0N2dDYR+REMPmwwRoN0SCKEaFvyzSeEEKJJbq87UDUqwhgh4zE1U+RX39Pt7iexrN8MgDspnqJLzqPkvNPwRYQHObrgUUqxu2Y3vxX/xq9Fv/JH8R9sKt+E2+duMG+0KZrc+Fx6xfWiV3wvesX1ontM93rV63xeH/ll+ZLICyHahXzSCCGEaJTVZWVdyTp2Vu8kyZJEmCEs2CF1eKbN2+h295PEfP4NAJ6YKAqu+Tcl552GMne99jROj5N1Jev4pegXfiv+jd+Lf6fMXtZgvihTFL0TetM3oa//PrEvqRGpMqaREKJDkcRJCCFEA2W2Mn4v/p1ye7lUzWsGXXklaU+8ROL8d9F4vCi9juJpkyi45iK8sdHBDq/dODwOfi36lTUFa/ip4Cd+L/69wdUkvVZPXnweA5MH0j+pP/0S+5EemS5JkhCiw5NvQiGEEAFKKXZV72JdyTrcXjcZURlyQrsvPh+J898l7eEX0FfVAFA5biS7br0SZ8/s4MbWDpweJ78U/cLq/NWsKVjDupJ1DdomxYfFMzB5IAOTBzIgaQB9EvpIb3ZCiE5JEichhBAAeH1eNpVvYmPZRix6CwmRMpbQvhi37yL7uruJXOkfi8nWpxe77ryGmqMPDXJkbUcpxdbKrXy/63u+3/U9awrW4PQ6682THJ7M0NShDEsdxtDUoZJ8CyFChiROQggh8Pq8rC9Zz6byTcSHxRNu7LodGOyXz0fCqwvpdu9T6Gx2vGFmdt86g5KpZ4Au9Ma0srqsrNy1ku92fscPu3+gyFpUb3qCJYFD0w5leNpwhqYOlWp3QoiQJYmTEEJ0cV6flz9L/2Rj+UaSw5Nl3Jt9MO4qIOu6e4j6ZhUANYcPZdvjd+DK6hbkyFpXYW0hX+/4mq+2f8WP+T/Wa6dk0pkYkjKEw7sdzuHdDicnNkcSJSFElyCJkxBCdGF1SdOGsg2SNO2LUiQsWEy3mU+gs9rwmU3sumUGJdMngVYb7OgOmlKKjeUb+XLbl3y1/Ss2lG2oNz0zKpOjs47miG5HMDhlsLxOhBBdkiROQgjRRQWuNJXJlaZ90VVWkXP1XUR/8S0AtYcMYtvjd+LskRnkyA7e5vLNLNuyjGVblrGjakegXIOGgckDGZk1klFZo8iOyQ5ekEII0UFI4iSEEF2Q1+dlQ+kGNpZtJNGSKElTE6K2bqXvjEcw78zHZzax+8bLKb7w7E7dlmlb5TZ/svTXMrZUbgmUm3Qmjuh2BKOyR3FUxlHEhsUGMUohhOh4JHESQoguxqd8bCjdwIayDSRaEmVg2ybELV7KkBvvRe9y4cxM56+XH8HeLzfYYR2QSkcln2z+hA83fsjGso2BcoPWwOHdDmdczjhGZo6UTkGEEGIfJHESQogupC5pqrvSJElTIzweut33DMkvvg5A1ajD2frcfZ1uIFuPz8PKnSv5YOMHfL3j68D4SjqNjsO6Hca4HuMYlTWKSFNkkCMVQnQlDo+DWlctNrcNnaZzXb2XxEkIIbqQrRVb2VC2gXhLvCRNjdCXVdD90puJ+u5HADaecQZVj1yH1mgIcmTNt7ViKx9s/ICPN31Mmb0sUN4noQ8TcicwLmccMeaY4AUohOhSlFLYPXZqnDU4vU5MehMx5hhy43NJsHSu8QIlcRJCiC6isLaQP0v/JMYUg8VgCXY4HY7ll3XkXHQ9xvwivOEWtj5+J+uT80jrBO2ZPD4PK7av4O0/3mZNwZpAeaw5lhN7nsgpeafQM65nECMUQnQlSilsbhvVzmrcPjcWg4WE8ARSIlKIMccQaYzslMMYSOIkhBBdQLWzmj+K/0Cr0UrVrEZEff4NORffiNbhxNEjk79mP4otJxt+yg92aPtUbi9n8Z+LeW/9e4GBaXUaHUdmHskpuadwVOZR6LXyVS+EaHt1yVKNqwaX14XFaCEtMo2kiCRizbEh0YZSPk2FECLEOT1O1pWso9ZVS3pkerDD6XBi3/+U7lfegcbjpeqYEWx57n58URHg9QU7tCb9Xvw7b//xNsu2LAsMThtrjuXU3qdyWp/TSIlICXKEQoiuwuqy1kuWUiJSSIlIITYsNuRqN0jiJIQQIcynfGws20h+TT7pkemdsmpEW0p49T0yb34QjVKUnXoC2564Cwwd86tRKcV3u75j3tp5/Fz4c6C8f1J/JvWdxNgeYzHqjEGMUAjRVTg8Dqqd1Tg8DiwGf7KUHJEcMleWmtIxvx2EEEK0im0V2/ir4i+Sw5OlytZekp+dR7cHngWgeNqZ7Lz3etBqgxxVQ16fl/9t/R+vrH2FjeX+rsT1Wj3jeozjrP5n0S+xX5AjFEJ0BW6vmypnFTa3DaPOSLwlnrTINOLC4ogwRgQ7vHYh36JCCBGiiq3F/Fn2J1HGKBngdk9Kkf7As6Q89woABTOmk3/j5dDBrsY5PU4+2vQR83+dz67qXQCE6cM4rc9pnDvgXJLCk4IcoRAi1PmUj2pnNTXOGnRaHTHmGHrG9STBkkCUKarL1WKQxEkIIUJQrauWdcXrQEG0uXONP9SmvF4yb36QxNcXAbDr9qsounRKkIOqz+V1sXD9Qub9Mo9SWykA0aZozu5/Nmf2PVO6EhdCtDmb20aVowqPz0OkKZLeib1JtCQSY45Bp+34PY22FUmchBAixLi9bv4o/oNKRyXdoroFO5yOw+Oh+4zbiftgGUqjYfvDt1I2+V/BjirA6/Py8eaPeXHNixTUFgCQHJ7MuQPO5dTep8q4W0KINuXxeah0VGJz2wgzhJEamUpqZCrxYfGY9KZgh9chSOIkhBAhZkvFFnbX7JbOIPakFFnX30fcB8vwGfRsfeZeKieMDXZUgL/Th+XblvPCjy+wtXIrAAmWBC4achET8yZi0HWewXeFEJ2P1WWlylOFBg2x5tjAwLQydEVDkjgJIUQIqbBXsLVyK/Fh8dIZxB7S73uahLc/ROl0bPnvg1QdPzrYIQHww+4feG71c6wrWQdAlCmK8wedz6R+k6RdmhCizXh8HipsFQA4vA66x3QnNSKVuLC4Ll0Vb3/kW1UIIUKE1+dlc/lmnF4niZbEYIfTYSS/MJ+UF14FYPsjt3WIpGl75XYe+/4xvtv5HeDv9GHygMlMGTily/ROJYRof1aXlUpnJUopYo2xOHFyRPoRRIdLW9jmkMRJCCFCRH5NPrtrdpMSLoOf1ol/6wO63fs0ALtuu5KysyYENR6ry8rsn2ez4PcFeHwe9Fo9Z/Q5gwuGXEBcWFxQYxNChCaf8lHlqKLaVU24IZzM6EzSItOI0kfx6W+fYjGG1iC1bUkSJyGECAE2t42NZRux6C3SJuZv0Z+tIOv6+wAovGwKRZdNDVosSik+2fwJT696OtBT3pEZR3LdEdeRGZ0ZtLiEEKHL5XVRYa/A6XUSbY5mYNJAkiOSA22X3G53kCPsfCRxEkKITk4pxV/lf1HtrCYjKiPY4XQIEd//RI/LbkHj9VI6aQK7b70yaLH8WfonD3/3ML8W/QpARlQG1x1xHUdlHhW0mIQQocvqslLhrECDhkRLIpnRmSSGJ2LUGYMdWqcniZMQQnRyJbYStlduJ9GSKL3oAWF/bKTn+degdTipHDeS7Y/cGpTBbW1uG8+seoZ3172LQhGmD+PCIRcyecBkOYERQrQqpRTVzmoqnZWEG8LJjs4mPSqduLA4tBptsMMLGZI4CSFEJ+b2utlcvhmNRiPj/ADGXQX0OncGuhorNYcNYcvz94O+/b/qftj9A/d+dW9gPKbjc47nykOvJDkiud1jEUKELq/PS6Wjklp3LVHGKPol9iM1MpUoU1SwQwtJkjgJIUQntqNqB4W1hXSLlIFuNXYHPS66HkNJGbY+vfhr7uOosPbt0rvWVcuT3z/J4g2LAUiNSOW2kbdxWPph7RqHECK0ub1uyu3luLwuYsNiyU3IJTk8WX5Aa2OSOAkhRCdV5ahic8VmYkwxMu6GUmTe/CDhv/2JOy6Gv+Y9jje6fQdv/GbHN9z/zf0UW4sBmNR3ElccegUWg/RYJYRoHS6vizJbGV7lJSk8iczoTJLCk6RToHYiiZMQQnRCPuVjc/lmHG4HCVEJwQ4n6BLmv0fCO0tQWi1bn78fV7fUdtt2laOKR1c+yiebPwH8nT/cMfIOhqQOabcYhBChzeFxUG4vR6FIjUglMzqTBEuC/GjWziRxEkKITqiwtpBd1btICk8KdihBF776FzLufBSA3bdcQc3Rh7bbtn/M/5Hbl99Oia0ErUbLuQPO5ZJhl2DWt28VQSFEaLK77ZQ5ytChIy0yjczoTOIt8dLhQ5BI4iSEEJ2Mx+dhS/kWjDpjl++dTV9cSo9LbkTr9lB+8liKLp3SLtv1+DzM/nk2L//0MgpFVnQWM0fPpH9S/3bZvhAitNncNsrt5ei1ejKjMsmMziQuLE56Tg0ySZyEEKKTKbYWU2YvIyUiJdihBJfbQ49LbsJYVIo9twfbH7+jXbodL6ot4vblt/NT4U8AnJJ7CtePuF4aZQshDprdbafMXoZBZyA7JpvM6ExizDGSMHUQkjgJIUQn4vV52V65HYPWgF7btT/Cu93zJJGr1uKNDOevlx/BF972nTCs2L6Cu1fcTZWzinBDODcfdTMn9DyhzbcrhAhtDo+DUlspeq2erJgssqKziA2LDXZYYi9d+1tXCCE6mRJbCcXW4i5/tSnuvY9Jnv0mAFufvhtnTlabbs/ldfH0D0/z5h/+bfZJ6MP9x9xPRnRGm25XCBHaHB4HpfZS9Bo9mdGZZMVkEWuOlStMHZQkTkII0Un4lI9tldvQa/Vd+mpT2LpNZN1wHwD5V19E1bhRbbq9otoibvjiBtaXrgfg3AHncsUhV0j3v0KIA+byuii1laJBQ0ZUBlnRWdKGqRPout+8QgjRyZRY/Vebkixdtyc9jdNF9pW3o3U4qTpmBAXXXdym2/vT+icPf/gw5fZyok3RzBw9k6Myj2rTbQohQpfH56HUVorH5yEtMo3smGwSLAmSMHUSkjgJIUQn4FM+dlTtQIOmS1/pSHvsv1jWb8YdH8u2J2eCtu265P1w44c8sPkBPMpDr7hePDbuMdIi09pse0KI0OVTPsrt5djddpIjkuke252k8CTpVryTkcRJCCE6gTJbGQW1BSRaEoMdStCEr15L8guvArD9kVvxxLdNw2mPz8PTPzzNgt8XADAmawwzx8zEYmj7zieEEKFFKUWlo5IaVw1xYXH0S+pHSkRKl65u3ZnJURNCiA5OKRW42tRVx23SWm1kX30XGp+P0jNPpur40W2ynWpnNbd8fgvf7/4egLOSz+KaY65Br5evSyFEy9S6aimzlxFtimZI6hDSItO67Gd4qJBvAiGE6ODK7GUU1BQQFxYX7FCCpts9T2HetgtXWjI77/6/NtnGtsptXPvpteyo3oFZb+bOo++kT0UfqUojhGiRuq7FTXoTfRP7khmdKVesQ4QkTkII0YEppdhZtRMvXsx6c7DDCYqoL1eS+Op7AGx74i58URGtvo2fC37mms+uodZVS0pECo+Ne4xeMb3Ir8hv9W0JIUJTXccPXuUlMzqT7rHdiTHHBDss0YokcRJCiA6swlFBfk0+CWEJwQ4lKHQVVWRddzcARReeTc1Rh7T6NlZsX8Etn9+C0+tkYNJAHh33KHFhcfi8vlbflhAi9CilKLeXY3VbSYlIoUdsD5LCk6SnvBAkiZMQQnRgO6p24PF5uuzVpszbHsZYWIIjJ4vdN1/R6uv/cOOH3PvVvXiVl6Mzj+aBYx/osvtaCNFyde2YYs2xDEscRlpkmnT8EMLkyAohRAdVYfdfbYoPiw92KEER+8Ey4hZ/itLp2PrUTFRY6yY083+Zz9Orngbg5F4nc9vI2+SERwjRLE6PkxJbSaAdU1Z0FmGGsGCHJdqYfEMIIUQHtat6Fy6Pi7DwrvdlrC8qJfPmBwEomDEd25D+rbZupRRPr3qaV3/1d20+ZeAUrjz0SqlWI4TYL6/PS6mtFLfPTbeobuTE5Ug7pi5EEichhOiAal215NfmExvWNmMVdXSZtz+CvrIKW/88Cq+6sNXW6/F5uPere1myaQkAVx56JVMHTW219QshQlelo5IqZxWJlkR6xvUkOSJZet3sYiRxEkKIDqiotgiry0pCdNfrFCJyxffEfvQ5Sqtl2+N3ooyGVlmv0+Pk5i9u5qvtX6HT6Lj16Fs5Je+UVlm3ECJ02dw2Sm2lRBgjGJQ8iIzoDBmPqYuSxEkIIToYl9fFzqqdRBojgx1Ku9M4XWTe9jAAxdPPwt4vt1XW6/K6uPF/N/LNzm8w6Uzcf+z9jMoa1SrrFkKEJpfXRYmtBJ1GR8+4nmTHZBNp6nqfy+IfkjgJIUQHU2orpcJRQXpkerBDaXfJL76OecsO3Inx5P/fJa2yTo/Pw82f3xxImp48/kkOSW/9bs2FEKHB4/NQZivD7XOTHplO99juxFu6Zic9oj5JnIQQogPxKR87qnZg1BnRaXXBDqddGXYXkvrkywDsuv2qVhno1uPzcMsXt7Bi+wqMOiOPjXtMkiYhRKOUUlQ4Kqhx1ZBkSSInLkfaMYl6JHESQogOpMJeQYm1pEt2QZ5x12NoHU5qDhtC+WknHvT6PD4Pty+/nS+2foFBa+CR4x7h8G6Ht0KkQohQUzceU4w5hmGp/vGYDLrWaV8pQockTkII0YHk1+TjUz5MelOwQ2lXUcu/I/bj5Sidjh333QgH2TW41+flri/vYtmWZei1eh4e+zBHZhzZStEKIULFnuMx9UvsR2Z0pozHJJokiZMQQnQQdV2Qd7UxQTROFxm3PQJA8QVn4ejT86DW51M+7vnqHpb+tRSdRseDxz7I0VlHt0aoQogQUTcek0d5yIzOpHts9y732StaThInIYToILpqF+TJs17FvG0n7qR48q+7+KDW5VM+7vv6PpZsWoJOo+O+Y+5jdPbo1glUCBES6sZjSrIk0TO+J0nhSdKOSTSLJE5CCNEBdNUuyI0780l9eg4AO++4Bl/kwXUI8cyqZ3h/w/toNVruHnM3Y3uMbY0whRAhwO62U2IrIdIYyeDkwWREZ0g7JtEikjgJIUQHUGorpdJRSVpkWrBDaVfd7nrc3yHEEcOo+NfxB7Wut/54i1d/fRWA20fezvE5B7c+IURo8Pg8lNpKUUrRM64n3WO7E2E8+F47RdcjiZMQQgRZXRfkBp2hS3VBHvXFt8Qu/RKl17HjvhsOqkOI5VuX8+h3jwJw2fDLmJA7obXCFEJ0YnXV8lIjUsmJyyHRkojmIDufEV2XJE5CCBFklY7KrtcFucdDt7ufBKDownNw5OUc8Kp+LfqV25bfhkJxau9TuWDwBa0UpBCis3J4HJTYSgg3hEu1PNFqOkRLuOeff57u3btjNpsZNmwYX3/99T7nf/311xk0aBAWi4XU1FSmT59OWVlZO0UrhBCtq7CmsMt1QR7/7keEbdqKJyaagqsvOuD1bK/czjWfXoPT6+SojKO48cgb5ddkIbowr89LUW0R5fZysmOyObzb4fSI6yFJk2gVQU+c3nrrLa6++mpuvfVWfv75Z44++mhOPPFEduzY0ej833zzDVOnTuXCCy/kjz/+4J133mH16tVcdNGBf/EKIUQwFVgLulQ3uBqHk7RHXwSgYMZ0fFEH1tagzFbGlUuvpMpZRd+Evjxw7APotVKRQoiuqtZVy66aXUSaIjkk/RAGJQ8i0tS1OtwRbSvo3zCPP/44F154YSDxefLJJ/n000954YUXeOCBBxrM//3335Odnc2VV14JQPfu3bnkkkt4+OGHm9yG0+nE6XQGHldXVwPgdrtxu92t+XS6lLp9J/uw45Jj1LHVHRe7w058WDw+ry/IEbWP5LlvYywowpmWTNGU01EH8LztbjtXf3o1u2t2kx6ZzmPHPYZJa2rVfVi3rq5yXDojOUYdW3sdH4/PQ7G1GIPWQO/Y3mRFZ2HUG/F4PG263c5OzhH+0dx9oFFKqTaOpUkulwuLxcI777zDqaeeGii/6qqrWLt2LStWrGiwzHfffceYMWNYtGgRJ554IsXFxUyaNIk+ffowa9asRrdz1113MXPmzAblCxYswGKxtN4TEkIIsU96q5XjLr0UY00NP8+YwY5jj23xOrzKywNbH+DH6h+J1EXyYK8HSTent0G0QgghugKbzcbkyZOpqqoiKiqqyfmCesWptLQUr9dLcnJyvfLk5GQKCwsbXWbEiBG8/vrrnHXWWTgcDjweD6eccgrPPPNMk9u5+eabufbaawOPq6urycjIYNy4cfvcOWLf3G43y5Yt47jjjsNgkLrDHZEco45td+VufvnuFxIHJHaZ45P+yAsYa2qw9+yO55pzSNO3/Gvo8R8e58fqHzHpTDxx4hMMTBrYBpH6fyUv/KWQlEEpaHVBr9kuGiHHqGNry+Pj9DgpsZYQbgwnJy6HtMg0qarbQnKO8I+62mj70yFeYXs35FVKNdm4d926dVx55ZXccccdHH/88RQUFHD99ddz6aWXMnv27EaXMZlMmEwNG10bDIYu/0JpDbIfOz45Rh2PUopCu/8HIoPB0CVO+vRFpSS//AYAu2/+D1qTscXr+GTzJ7z5x5sA3D3mbganDm7NEBul1Wm7xPHpzOQYdWyteXyUUpTZy3B4HGTHZ9Mzrqe0YzpIco5As59/UBOnhIQEdDpdg6tLxcXFDa5C1XnggQc48sgjuf766wEYOHAg4eHhHH300dx7772kpqa2edxCCHGwKhwVlFpLgx1Gu0p98mV0dge1QwdQdfyoFi//Z+mf3PvVvQBcMPgCju3e8mp+QojOy+FxUGwtJtocTf+k/qRGpqLVSMIs2k9QX21Go5Fhw4axbNmyeuXLli1jxIgRjS5js9nQauuHrdP5B4wMYnMtIYRokcKaQjzertNw2bR1J4kLFgGw+5YrWjzYbaWjkuuXXY/T62RExgguGXZJW4QphOiAlFKUWEsos5fRI7YHh3c7nPSodEmaRLsLelW9a6+9lilTpjB8+HCOOOIIXnzxRXbs2MGll14K+Nsn7d69m/nz5wMwYcIE/v3vf/PCCy8EqupdffXVHHrooaSlpQXzqQghRLPY3XZ21+wmyhxFDTXBDqddpD3yAhqPl6pjRlB7xLAWLevxebjli1soqC2gW1Q37h1zLzqtro0iFUJ0JA6PgyJrEXHmOAYmDCQ1IlXGahNBE/TE6ayzzqKsrIy7776bgoIC+vfvz8cff0xWVhYABQUF9cZ0Ov/886mpqeHZZ5/luuuuIyYmhmOOOYaHHnooWE9BCCFapNhaTI2rhm7h3bpE4hT225/Evf8ZALtv/E+Ll39+9fOs2r2KMH0Yjx73KFEm6dRHiFCnlKLEVoLH56FXXC9y4nKwGKQnZBFcQU+cAC6//HIuv/zyRqfNmzevQdmMGTOYMWNGG0clhBCtz+vzsqNqB+GG8C7zq2n6g88BUHbqCdj757Vo2WV/LWP+r/4aB3eMvIOecT1bPT4hRMdS15YpLiyO3PhcUiJSusznpejYOkTiJIQQXUWprZRyezkpESnQBZplRnz7I9FfrkTpdeRff2mLlt1cvpmZX/nH4Js6cCrH5RzXFiEKITqIuh7znF4nPeN60jOuJ2GGsGCHJUSAJE5CCNGO8mvy0Wq06LV6fF5fsMNpW0qR/tDzAJScdxqurG7NXrTKUcV1n12Hw+PgsPTD+M8hLa/iJ4ToPJweJ4XWQmLNsQxIHiBtmUSHJImTEEK0k2pnNYW1hcSYY4IdSruI+G4NEWt+xWcyUnDVhc1eTinFPV/dw+6a3aRFpHHfMfdJZxBChCilFOX2cuweOz1ie9ArrhfhxvBghyVEoyRxEkKIdlJUW4TD4yApPCnYobSL1KfnAFB6zkQ8SQnNXu699e/x5fYvMWgNPHzcw10m0RSiq3F5XRRZi4g0RjIsbRhpkWnSxbjo0CRxEkKIduD0ONlRtaPL9Ahn+el3or5ZhdLrKLpsarOX21KxhSe+fwKAKw69gt4JvdsqRCFEEFU6Kql2VpMZnUlufC6RpshghyTEfkniJIQQ7aDEVkK1s5puUc1v59OZpT49G4Cy007C1S21Wcs4PU5u+eIWnF4nR3Q7gnP6n9OWIQohgsDj81BkLcKkNzEkdQgZURlSFVd0GpI4CSFEG/MpH7uqd2HSmbpENZSwdZuIWfY1SqOh8D/Tmr3cM6ueYXP5ZuLC4rhz1J1dYl8J0ZVYXVZK7aWkRqbSO743sWGxwQ5JiBaRxEkIIdpYhb2CEmsJCZbmt/PpzFKenQtAxcljcfbMbtYy3+z4hjf/eBPwj9fUVfaVEF2BUoqi2iJ8ykffxL70iO2BUWcMdlhCtJgkTkII0cbya/LxKV+XOFEwbdlB7If/A6BwxvRmLVNqK2XmCv94Tef0P4ejMo9qs/iEEO1vV/Uu4iPi6Z3Qm+SI5GCHI8QBk8RJCCHakN1tp7C2kGhTdLBDaRcpz81D4/NReexR2Pvl7nd+n/Jx15d3UeGoIDculysOuaIdohRCtIcqRxUA2THZ9E7ujcVgCXJEQhwcqUAuhBBtqMxeRq2rlghjRLBDaXOG3YXEv/sRAIVXXtCsZRb8toDvd3+PSWfi3mPuxaQ3tWWIQoh24PV52V2zG4/yANAvqZ8kTSIkSOIkhBBtRClFfk0+Rp0RjUYT7HDaXMqsV9F4vFSPGI51+MD9zv9n6Z88u/pZAK494lp6xPZo6xCFEG3M7razq2YXiZZEhqUOA5COXkTIkKp6QgjRRmpcNZTZyrpENT19SRkJCxYDzWvb5PK6uOPLO/D4PIzJHsNpvU9r4wiFEG2t1FaK0+skLz6PXvG90PhC/wcj0bVI4iSEEG2kzFaGw+MgKTwp2KG0uaSX30DrcGId0o+aow/d7/xzfp7DlootxIXFcevRt3aJK3JChCqPz0NhbSERxgj6J/UnLTINjUaD2+cOdmhCtCpJnIQQog34lI/d1bu7RL1+XWU1SfPeAaDgygtgP0nQxrKNzF3r77L8hhE3EGOOaesQhRBtpG5spoyoDHon9CbSFBnskIRoM5I4CSFEG6iwV1DhqCDRkhjsUNpc4ty30dVasfXpSdXYo/c5r8fnYeaKmXiVlzHZYzi2+7HtFKUQojUppSizl+HyuuiX2I+cuBz0WjmtFKFNXuFCCNEGSm2leJUXg84Q7FDalMbuIGmOf+DawivOB+2+G4G/+uurbCjbQJQpihuPvFGq6AnRCe1ZNW9g8kBSIlLkvSy6BEmchBCilbm9bnbX7CbSGPpVVuIWL8VQXomzWyoVJ4/d57xbK7by4poXAbjuiOtIsCS0R4hCiFZkc9sosZWQHplO38S+UjVPdCmSOAkhRCsrt5dT7agmLTIt2KG0LaVIfvkNAIqnnwX6pr9SvD4v93x1D26fmxEZIzip50ntFaUQopWU2kpxeV30TexLTmxOyF9RF2JvkjgJIUQrK6wtRKvVotPqgh1Km4r8ZjVhf/6F1xJG2TkT9znvW3+8xa/FvxJuCOeWo26Raj1CdCJen5eC2gLCDeEMTR0a6DVPiK5GEichhGhFdredImtRlxi7Kenvq01lk07GG910dZ1d1bt4bvVzAFx12FWkRKS0S3xCiIPn8DgoshaRFplGn4Q+RJtD/7NNiKZI4iSEEK2ozF6G1WUlLiou2KG0KdOWHUR//g0AxRec3eR8PuXjnq/uwel1ckjaIZza+9T2ClEIcZAqHZXUumrpFdeLvIQ8jDpjsEMSIqgkcRJCiFailCK/Jh+jzhjy1ViS5r6FRikqjz0KZ05Wk/Mt+nMRawrWYNabZaBbIToJpRRF1iJ0Wh2DUwaTEZ2BVrPvHjOF6AokcRJCiFZS46qhzFYW8tX0dFU1xL/5AQDFF53T5HxltjKeWfUMAP855D90i+rWLvEJIQ6c2+umoLaAuLA4+iX1k94vhdiDJE5CCNFKymxl2D12ksKTgh1Km4p/8310Njv2vB7UHH1ok/M9u/pZal219E7ozaS+k9oxQiHEgbC6rJTaS8mKzqJ3Qm/CjeHBDkmIDkUSJyGEaAU+5WN39W7CDSF+ouH1kjT3bQCKLzwHmqh690vRL3y48UMAbhxxY8j3MChEZ1dmK8PhddAvsR85cTnotXKKKMTe5F0hhBCtoMJeQYWjgkRLYrBDaVMxn32FaWc+nthoyk47sdF5vD4vD337EACn5J7CgOQB7RmiEKIFfMpHYW0hZr2ZYanDpKtxIfZBEichhGgFpbZSPD5PyA8IWdcFecl5p6HCzI3O897699hYtpFIYyQzDp3RnuEJIVqgrj1ToiWRfkn9iA2LDXZIQnRokjgJIcRBcnvd7K7ZTZQpKtihtKmw3/4k8vufUHodJdPObHSeCnsFL/z4AgCXH3K5nIgJ0UHVtWfKjsmmT0IfwgxhwQ5JiA5PEichhDhI5fZyqh3VpEWmBTuUNpX899WmipPH4k5tvAOMZ1Y9Q42rhrz4PE7rfVp7hieEaKZyezl2j52+iX3pGddT2jMJ0UzyThFCiINUWFuIVqsN6Q4Q9MWlxH7wGQBFTXRB/mvRr3yw0d9N+Y1HSocQQnQ0de2ZjHojQ1OHkh6ZLu2ZhGgBSZyEEOIg2N12iq3FRBlDu5pe4qvvoXW5qR02ENuQ/g2me31eHv7uYQAm5E5gYPLA9g5RCLEPHp+H/Jp84i3x9EvsR7wlPtghCdHpSOIkhBAHodxeTq2rloyojGCH0mY0TheJ898DoPjCsxudZ9Gfi/iz9E/pEEKIDsjhcVBkLSIjKoO+iX1lfCYhDpAkTkIIcYCUUuTX5GPUGUO6ukvM0uUYSstxpSRScdIxDaZX2Ct4bvVzAFw2/DLiwuLaO0QhRBOqndVUO6vJjcslLyEv5Hv+FKItSeIkhBAHqNZVS6mtlGhTdLBDaVOJry4EoPScf4Gh4dfGc6ufo8ZVQ258Lqf3Ob2doxNCNKVumIQBSQPIjs1Gq9EGOyQhOjV5BwkhxAEqs5dh99hDuhtf0+ZtRK5cg9JqKT1nYoPpG8s28v6G9wHpEEKIjsKnfOyu2Y1Oo2No6lB6xPWQpEmIViBXnIQQ4gD4lI/8mnwsekuwQ2lTia8vAqDqmCNxp6c0mP70D0+jUBzX4zgGJQ9q7/CEEHvZc1Db/sn9iTHHBDskIUKGJE5CCHEAqhxVlNvKQ7pnKo3DSfzbSwAoPa/hmEzf7/qe73d/j16r5z+H/Ke9wxNC7MXmtlFiKyErOou+iX1D+mq4EMEgiZMQQhyAUlspbp8bo84Y7FDaTOxHn6OvrMKVlkzVMSPqTfP6vDz1w1MATOo7iW5R3YIRohDibxX2CqxuqwxqK0QbkneVEEK0UN14KJHGyGCH0qYSXvN3ClEy+VTQ1W+79PHmj9lUvolIYyQXDrkwGOEJIfD37llkLUKv1TM0dSjdorqFdC+fQgSTJE5CCNFC5fZyKh2VpEQ0bPMTKswb/iJy1VqUTkfZXp1CODwOXvjxBQAuGHIB0ebQ7lVQiI7K4/NQUFtArDmWfkn9SLAkBDskIUKaJE5CCNFCJdYSgJCuCpPwd6cQlccdjTslsd60Bb8toNhaTGpEKpP6TgpGeEJ0eTKorRDtL3S/9YUQog04PA4KagqIMkUFO5Q2o7E7iH/n704hptQfl6ncXs4rv7wCwH8O+Q8mvand4xOiq6tyVFHjqiEvPo/c+FwZ1FaIdiKJkxBCtEC5vZxaVy3pUenBDqXNxH2wDH11Lc7MdKpHHlZv2ks/vYTVbaVPQh/G5YwLUoRCdE117Zm0Gi2DUgaRGZ0p4zMJ0Y4kcRJCiBYorClEr9WH9MlKXacQpZP/Bdp/nuf2yu0sXO+fdtVhV4X0PhCio9mzPVPfxL4khifufyEhRKuSxEkIIZqp1lVLia0kpKvphf2xkYiffkPpdZSeNaHetGdXP4tXeTk682iGpw0PUoRCdD12t51iWzEZURn0SexDhDEi2CEJ0SVJ4iSEEM1Ubi/H5raFdM9VdVebKk4Ygyfpn+e5tnAty7ctR6vRMuPQGcEKT4gup258pt7xvekV30vaMwkRRJI4CSFEMyilyK/Ox6w3BzuUNqO12ohf+AkApeedFihXSgUGu52YN5EesT2CEp8QXYlP+SisLcSoN8r4TEJ0EJI4CSFEM9S4aih3lBNtCt0xi2Lf/wxdrRVHdgY1R/5TFe/rHV/zW/FvmPVmLhl2SRAjFKJrcHqcFFoLSbQk0jexL/GW+GCHJIRAEichhGiWKkcVTo8Tc3joXnFKrOsU4rxTA51C+JSPWWtmAXBWv7NCupqiEB1BpaOSGlcNPWJ7kBefR5ghLNghCSH+JomTEEI0Q6mtFIM2dNsWhP2+gfBf1uEzGiib9E+nEMu3LWdj2UbCDeFMGTgliBEKEdq8Pi+F1kJMehNDUoaQEZ0hPVcK0cFI4iSEEPvh9Dgps5WFdE9WCW99AEDluFF44mMB/4ncf9f8F4Bz+p9DjDkmWOEJEdLqes1LjUild0JvYsNigx2SEKIRkjgJIcR+VDmrsLqtpEakBjuUNqFxuohbuBSAsj26IP/f1v+xpWILkcZIzh1wbrDCEyKkldpKcXqd5MXn0TOuJya9KdghCSGaIImTEELsR5WjCqUUOq0u2KG0iehlX6GvrMKVkkj1qMMB/2CbL655EYBzB5xLpCkymCEKEXIcHgfF1mKiTFH0T+pPWmSa9JonRAcniZMQQuyDT/koqi3CYrAEO5Q2k/DWhwCUnTEedP7kcOnmpWyv2k60KZqz+58dzPCECCken4dSWyk+5aN7bHdyYnPkhwkhOglJnIQQYh9qXbVUu6pDthtyQ2EJUV+uBAh0CuHxeXjpp5cAmDJwSki37RKivSilqHBUUOuqJSUihZy4HBItiXKVSYhORBInIYTYhypHFQ6Pg+Tw5GCH0ibi3vsIjc9H7fCBOHOyAFiycQm7a3YTFxbHWf3OCnKEQnR+VpeVMnsZUaYohqYOJT0qHb1WTsGE6GzkXSuEEPtQZi/DqDUGO4y2oVSgml7pWacA4Pa6mf3zbACmDZomY8gIcRBcXhfFtmIMWgN58Xlkx2aHdLVfIUKdJE5CCNEEp8dJqbU0ZKuqha/5DfNf2/GZTVRMGAvA+xvep6C2gARLAqf3OT3IEQrROfmUjzJbGU6vk7TINHLicogLiwt2WEKIgySJkxBCNKHaWR3S3ZDHv+2/2lQx/lh8kRE4PU7mrJ0DwPTB0zHrzcEMT4hOqcpRRaWzkviweAYkDyA1MlUGshUiREjiJIQQTah0VAKEZDfkGruDuPc/A/6pprfwz4UUW4tJDk/m1N6nBjM8ITodh8dBia2EMEMYA5MGkhGdIWMyCRFiJHESQohGKKUoqi0K2asusR9/ga7WijMjjdojhuLwOJi3dh4AFw65EKMuRNt1CdHKfMpHsbUYn/KRHZNNj9geRJmigh2WEKINSOIkhBCNqHHVhHQ35PF1YzdNOhm0WhavW0yZvYy0iDROyTslyNEJ0Tk4PA6KrEUkWZLITciV7sWFCHGSOAkhRCOqndU4PU7M4aF3xcm4M5+ob1cDUHbmybi9bl799VUApg6aKt0ki9ChAG8brFYpKh2VOL1Oekb1JCsmC5POhNPpbP2NdWJutxu9Xo/D4cDrbYMDIQ5KVzo+BoMBne7gq93Lt6MQQjSi1FaKQWsIdhhtIv6dJQBUH3kIrow0PtnwAUXWIhIsCUzInRDk6IRoJV7QVGrQom3Vq0BKKbzKS7wmHr1Wj75GT35NfqutP5QopUhJSWHnzp1yJa4D6mrHJyYmhpSUlIN6rpI4CSHEXlxeF2W2MsKN4cEOpfX5fMS/7U+cys6agNfnZd4v8wA4b8B50phdhAYF1EKYKYyk5KRWOyn04cPr82LQGjDpTSHZcUxr8vl81NbWEhERgVYrPQt2NF3l+CilsNlsFBcXA5CaeuA95UriJIQQe6lyVFHrqg3JbsgjVv6EaWc+3shwKk46hi+2fsGOqh1EmaI4rc9pwQ5PiNbhA51HR1xSHOawg69uq1B4fB506IjQR2DSmbrEL/QHy+fz4XK5MJvNIX1i3ll1peMTFuYfzL24uJikpKQDrrYniZMQQuylylGFQoXkr8kJb30AQPkp4/CZTcxdOxeAs/udjcVgCWZoQrQeBWj87RoObjX+hAkFep0es86MXienTkJ0RhaL/zvO7XZL4iSEEK1BKUVhbSFh+rBgh9LqtDW1xH70OQBlkybw7c5v2Vi+kTB9GGf1OyvI0QnRujQc+BUhpRQe5QHAoDVg1BnRa/VylUmITqw13r+SOAkhxB5qXbXUuGpCchyW2I+/QOtw4sjJonZof+YsuQiAM/qeQbQ5NLtdF6IlfMrfhgmNJExCiIYkcRJCiD1UOatweBwkhScFO5RWF/fuxwCUnX4SPxet5deiXzHqjJw74NwgRyZEcAWq5AFGvRGj1ohOq5OESQhRT2i3BBNCiBYqs5WF5DhGht2FRK5cA0D5aScy5+c5AJySewoJloRghiZEUHl9XtxeN3qtnnBDOGH6MPS64F1lOv/889FoNDz44IP1yhcvXlwvJqUUL774IocddhgRERHExMQwfPhwnnzySWw2W3uHLUSXIImTEEL8zeV1UWorJcIYEexQWl3c4qVolKLm8KGsNVfy/e7v0Wl0TBk4JdihCREUSilcXhcAFoOFcEM4Bp2hXnLi88HGjbB6tf/e52uf2MxmMw899BAVFRVNzjNlyhSuvvpqJk6cyPLly1m7di23334777//Pp999ln7BCpEF9MhEqfnn3+e7t27YzabGTZsGF9//fU+53c6ndx6661kZWVhMpnIyclhzpw57RStECJUVTurqXXXhl7vckoR/94/1fTqetI7Pud40qPSgxmZEEHh9rnxKA8mvYlwYzgmfcPuxX/+Ga69FmbMgP/7P//9tdf6y9va2LFjSUlJ4YEHHmh0+ttvv83rr7/OG2+8wS233MIhhxxCdnY2EydO5IsvvmDMmDFtH6QQXVDQE6e33nqLq6++mltvvZWff/6Zo48+mhNPPJEdO3Y0ucykSZP4/PPPmT17Nhs2bOCNN96gd+/e7Ri1ECIUVdorUUqFXFW9sD82ELZhCz6TkbVH5rB823I0aJg+eHqwQxOiXXmVF5fXhV7zT7W8xoYd+PlnuPtuWLMG4uKgVy///Zo1/vK2Tp50Oh33338/zzzzDLt27Wow/fXXXycvL4+JEyc2mKbRaIiOls5ehGgLQT87ePzxx7nwwgu56CJ/705PPvkkn376KS+88EKjv7QsXbqUFStWsGXLFuLi4gDIzs7e5zacTidOpzPwuLq6GvD34+52u1vpmXQ9dftO9mHHJceo+ZRS5FflY9aY8Xnbpz5O3Xbaent1nUJUHnsUL215B4DRWaPJispqt+faGbXX8REHrslj5PW/p+so5e/8QaPREKYP81fJQ4NSqt584K+ON2+ehpIS6NMH6i5ERUZC796wfj288goMGKBoizFD62KaOHEigwcP5o477uDll1/G93c9QZ/Px6ZNm8jNzQ2UdVR1+1Yp1eFj7Yq62vHx+XwopRodx6m550kHnTg5nU5MJtMBLetyuVizZg033XRTvfJx48bx3XffNbrMBx98wPDhw3n44Yd59dVXCQ8P55RTTuGee+4JjAq8twceeICZM2c2KP/ss88Cg2GJA7ds2bJghyD2Q45Ry+ST367bK/ylsM3WrfF6GfDuJwCs7tebpZtnATDeNJ78n9r3eXZWbXl8ROvY+xjp9XpSUlLwODxoff9kNwqF4+9/Tdm8Wctvv4WRnOyjsXOp5GT49Vcta9fa6dmz9U823W43Ho+H6upqbrvtNiZOnMjFF1+M3W4H/D/+er1evF5v4Ifgjq6mpibYIYh96CrHx+VyYbfb+eqrr/B4PPWmNbdDlRYnTp9++ilvvPEGX3/9NTt27MDn82GxWBg6dCjjxo1j+vTppKWlNWtdpaWleL1ekpOT65UnJydTWNj4F9WWLVv45ptvMJvNLFq0iNLSUi6//HLKy8ubbOd08803c+211wYeV1dXk5GRwbhx44iKCr2xWtqL2+1m2bJlHHfccQc9OrtoG3KMmi+/Jp+f8n+iW3S3dtumz+uj8JdCUgaloNW1Tc3pqBUrMVdU4I6N5tUhJfg2+jgs7TBGHjWyTbYXStrj+IiD0+Qx8oC2RosyKrRmLSa9CYO2eZ+BXi94PBpiYkDXsBYf0dFQUgJebwRtcQphMBjQ6/VERUVx4oknMm7cOB544AGmTZsGQFRUFHl5eWzYsKHDn8MopaipqSEyMlK6du+AutrxcTgchIWFMXLkSMxmc71pzf0RotmJ0+LFi7nxxhupqqripJNO4vrrryc9PZ2wsDDKy8v5/fff+d///sc999zD+eefzz333ENiYmKz1r33wVJKNXkAfT4fGo2G119/PVCH9/HHH+eMM87gueeea/Sqk8lkavSqmMFgkJPJViD7seOTY7R/Fa4KDAZDUE6QtTptm203YdFSAIrGj2bhliUATBk0RRKBFmjL4yNax57HyOPzUO4oJ5lkTDoTEcYItC2oUxcbC2FhYLPRaGJkt/unx8Zq2qSqnkajQaPRBGJ+6KGHGDx4MHl5eQBotVrOPfdczj77bD788MMG7ZyUUlRXV3eIdk511b/2fD6i4+hqx0er1aLRaBo9J2ruOVKzE6f777+fRx99lPHjxze6cydNmgTA7t27eeqpp5g/fz7XXXfdPteZkJCATqdrcHWpuLi4wVWoOqmpqaSnp9f7QOjTpw9KKXbt2kWvXr2a+5SEEAIAp8dJqTX0uiHXWm3EfLIcgLeGGLDX2OkZ15PD0g8LcmRCtA27206xrZjUsFSMPiNmg7nFJ4Q9e/rbNq1ZU7+NE4BSsGsXDB/un689DBgwgHPPPZdnnnkmUDZp0iQWLVrEOeecw+23385xxx1HYmIiv/32G0888QQzZszgX//6V/sEKEQX0uxPk1WrVjFhwoT9fgClp6fz8MMP7zdpAjAajQwbNqxB+4tly5YxYsSIRpc58sgjyc/Pp7a2NlC2ceNGtFot3bq1XxUbIUToqHZWY3VbQ64b8phPlqOzO7Bnd+Mhz5cAnDfgvC5RJUN0PeX2csrsZeTF59EvsV+jveU1h1YL06ZBQoK/I4jqavB4/Pfr1/vLp06lTa42NeWee+6p14mFRqNhwYIFPP744yxatIhRo0YxcOBA7rrrLiZOnMjxxx/ffsEJ0YUcUOcQdru9yY4YCgoKSE1Nbfa6rr32WqZMmcLw4cM54ogjePHFF9mxYweXXnop4G+ftHv3bubPnw/A5MmTueeee5g+fTozZ86ktLSU66+/ngsuuKDJmIQQYl8qHf5uyA/0RKujilvo7xTih9E9KbF/SaIlkeNz5IRKhJ78mnzCTGEMSxtGemR6vZ50D8SQIXDHHf7e89avh/x8MJv9V5qmTvVPbyvz5s1rUJaVlYXDUb9DC61Wy6WXXho4XxJCtL0DSpyGDBnCggULGDp0aL3yd999l8suu4ySkpJmr+uss86irKyMu+++m4KCAvr378/HH39MVlYW4E/E9hzTKSIigmXLljFjxgyGDx9OfHw8kyZN4t577z2QpyKE6OJ8ykdhbWHIXW3SF5US9fUqAO7J2ArAWf3OwqCTtm4idDg8/mQiwZJAv5R+xJhjWm3dQ4bAoEGweTNUVfk7hejZs32vNAkhOpYDSpyOO+44RowYwV133cWNN96I1Wrliiuu4J133uHBBx9s8fouv/xyLr/88kanNfbLS+/evaV7ZSFEq6h11VLjqiHaFPyG1K0pbtFSND4fBQN78IVuC2H6ME7rc1qwwxKi1VQ6Kqmx1aBBw+DkwYSbw1t9G1ot5Oa2+mqFEJ3UASVOzzzzDOPHj2f69Ol89NFH5OfnExUVxerVq+nbt29rxyiEEG2mylGF0+PEHG7e/8ydSPxC/6C3rw3wt4uYmDeRKFPH7rpYiOYqsZag0WgYmDKQ3/76DaPeGOyQhBBdwAFfcB43bhynnXYa3377LTt37uTBBx+UpEkI0emUWEsw6kLrpMv852Ysf2zEq9fxYPpWtBot5/Q/J9hhCdEqKh2V+PAxKGUQGdEZwQ5HCNGFHFDi9Ndff3HEEUewZMkSPv30U2644QYmTpzIDTfcgLuxYbaFEKIDcnqclNvLCTe0fhWfYIp/z3+1adXgRMotcEz2MaRHpQc5KiEOns1to9ZVS7/EfqREpAQ7HCFEF3NAidPgwYPp3r07v/zyC8cddxz33nsvX3zxBQsXLuTQQw9t7RiFEKJNVDmrsLqthBtDKHHy+Yhb6B/09vGexQCcN/C8YEYkRKtweV2U2ErIS8gjMzoz2OEIIbqgA0qcnn/+ed58801iYmICZSNGjODnn39u0NOeEEJ0VBX2CgC0mtDpJivyuzUYC4uxhhv5oKePwcmD6Z/UP9hhCXFQvD4vhbWFdI/pTs+4njIWmRAiKA7obGHKlCmNlkdGRjJ79uyDCkgIIdpDqHZDHrfYf7Xp7b4Kl16uNonOTylFQW0BKREp9Ensg157QP1aCSHEQQudn1mFEKIFapw11LpqQ6p9k8bhJOajzwGY189NZlQmR2ceHeSohDg4RdYiokxR9Evqh1kfWr1fCiE6F0mchBBdUpWzCpfXhUlvCnYorSZ6+Xfoq2vJj9bxdSZMHjAZnVYX7LCEOGAV9gp0Wh39k/pLd/pCiKCTxEkI0SUVW4tDrhvyuEX+anqv9fMSFRbNybknBzkiIQ5crasWm8dGv8R+JIYnBjucdvXdd9+h0+k44YQT6pVv27YNjUbT6O37778PUrRCdB1SUVgI0eU4PA4q7BVEGCOCHUqr0dbUEv2/rwFYMABO73O6VGsSnVaZrQyn10nvhN50i+oWvEB8Pti8GaqqIDoaevYEbdv/5jxnzhxmzJjByy+/zI4dO8jMrN+L4P/+9z/69etXryw+Pr7N4xKiq5PESQjR5VQ5qrC5bcSYY4IdSquJ/Xg5WqeLdQnwe6qWB/ueGeyQhGixuk5bTHoTQ1OHkhaZFrwe9H7+GV55BdavB4cDzGbo0wemTYMhQ9pss1arlbfffpvVq1dTWFjIvHnzuOOOO+rNEx8fT0qKjGMlRHs74J9Nxo8fT0FBQYO/hRCio6twhF435HW96S0YAGNzjutyVZtE5+fyuthZvZNYcyyHpB1CelR6cJOmu++GNWsgLg569fLfr1njL//55zbb9FtvvUVeXh55eXmcd955zJ07F6VUm21PCNF8B3zW8NVXX2G32xv8LYQQHZnX56WotiikuiHXF5cS+c1qwJ84nd3v7CBHJETL1LpqA+M0DUsbRmxYbPCC8fn8V5pKS/1XmKKiQKfz3/fp4y+fP98/XxuYPXs2553nH0bghBNOoLa2ls8//7zePCNGjCAiIqLezev1tkk8Qoh/SFU9IUSXUuPyd0MeFxYX7FBaTeyH/0Pj87GyG4Tl9ZUBb0WnUmorxe110z+pPz1iewS/J8jNm/3V87p1g72veGk0/vJ16/zz5ea26qY3bNjAqlWrWLhwIQB6vZ6zzjqLOXPmMHbs2MB8b731Fn369Km3rE4nPWgK0dYkcRJCdClltjJcXldI9agXt/BjwH+16Zz+5wSvepMQLWB32ym1lRJhjGBA2gDSItOCHZJfVZW/TVN4E2O8WSyQn++fr5XNnj0bj8dDenp6oEwphcFgoKKiIlCWkZFBz549W337Qoh9k8RJCNFleH1edtfsDqlBb01bdxKxdh0eDfxvWCxzu4/d/0JCBJHD46DUVopeqyc7NpvuMd2JNkcHO6x/REf7O4KwWv3V8/Zms/mnR7duzB6Ph/nz5/PYY48xbty4etNOP/10Xn/9dU4+WYYYECKYJHESQnQZFY4KKh2VJIcnBzuUVhO7+FMA/tcDRh02CYPOEOSIhGicw+Og1F6KXqMnKyaLzOhMYs2xHe8Kac+e/rZMa9b47/eMTynYtQuGD/fP14qWLFlCRUUFF154IdF7JWVnnHEGs2fPDiROZWVlFBYW1psnJiYGs1mGIBCiLYVOl1JCCLEfxbXFKKXQa0PkNyOliHh3MQBvDdJyWu/TghuPEI1wepzsrtlNhb2CzKhMDu92OIOSBxEXFtfxkibwj9M0bRokJPjbOlVXg8fjv1+/3l8+dWqrj+c0e/Zsxo4d2yBpAv8Vp7Vr11JeXg7A2LFjSU1NrXdbvHhxq8YjhGjogM8e9vyw65AffEIIsQenx0lBbQGRxshgh9Jqwn7fQPS2Qux6qDnhWOItMgCm6Fg8Pg+F1kKyorPIiskiPiy+c5wzDBkCd9zxzzhO+fn+6nnDh/uTpjYYx+nDDz9sctrQoUMDXZJL1+RCBM8BJ057vnHlTSyE6OjK7GXUOGtIj0rf/8ydRNg7iwD4MBf+dejUIEcjREOFtYVkRGUwKGVQ57vSO2QIDBrk7z2vqsrfpqlnz1a/0iSE6DwO+FOspqam0b+FEKIjKqwpRK/Vh86gt14vMYs+AeDbkVlMTeyznwWEaF/l9nIsBgt5CXmdL2mqo9W2epfjQojOK0TOIIQQomm1rlpKbCVEmRrpIauTMn+3ithyGxVm6HbGRcEOR4h6nB4nNreN3gm9Q+p9J4To2iRxEkKEvDJbGVa3lXBj6HRD7nx1LgAfDTQzMu+4IEcjxD+UUhRZi8iKyQqpqrFCCCGJkxAipPmUj901u7HoLcEOpfU4nOR8sRaA0n8d33mrQYmQVGorJdYcS258buhUjRVCCCRxEkKEuEpHJeW28o41wOZBqnj/DaLtPnZFwYAzLg92OEIE2Nw2XD4XeQl5WAwh9GOFEEIgiZMQIsSVWEvwKA9GnTHYobQaw1vvAPDjUT2ICZcuyEXH4FM+Smwl5MTmkBKREuxwhBCi1bUocVq3bt1+53nttdcOOBghhGhNbq+b/Jr8kBq7qaJ4B4euKQLANGV6kKMR4h9FtUUkWZLoGdezc4zVJIQQLdSixGnYsGE8+uijjY7bVFRUxCmnnMJll13WasEJIcTBKLeXU+2sDqnEaeerzxLmgW1JRpKOPiHY4QgBQI2zBq1WS+/E3pj0pmCHI4QQbaJFidNrr73Gww8/zMiRI/nrr7/qlfft25eqqirWrl3b2jEKIcQBKawtRKPRoNPqgh1Kq/D4PGR+/A0A208cAfKrvugAPD4P5Y5yesX1IsGSEOxwhBCizbQocTr99NP5/fffSUhIYNCgQTz66KNMnDiRSy65hDvuuIMvv/ySnJyctopVCCGazea2UWQtItoUOp1CrF77MaM2uACIOv+SIEcjhF+htZC0yDSyY7KDHYoQQrSpFvdhm5SUxKJFizj33HO54YYbCA8P5/vvv2fAgAFtEZ8QQhyQMlsZta5a4qLigh1Kq7G+8Qp6Bdt6xOPL7RXscISgylGFWWcmLz4Pg84Q7HCEEKJNtbhXvYqKCiZPnszixYu56aabSEpK4qyzzmL16tVtEZ8QQrSYUordNbsx68wh00h9a8VWjvhmOwD2MyYGORoh/FX0qpxV9IrrRWxYbLDDCQmjR49mxowZXH311cTGxpKcnMyLL76I1Wpl+vTpREZGkpOTwyeffBJYZt26dZx00klERESQnJzMlClTKC0tDUxfunQpRx11FDExMcTHx3PyySfXa26xbds2NBoNCxcuZMyYMVgsFgYNGsTKlSvb9bkL0Rm0KHFasmQJffv25a+//mLNmjXcf//9/Prrr4waNYqjjjqK2267DY/H01axCiFEs1Q7qym3h9bYTcu/ns/IHeDTgPvM04MdjhAU1hbSLaobmTGZwQ5lv5RSWF3WoNwa61BrX1555RUSEhJYtWoVM2bM4LLLLuPMM89kxIgR/PTTTxx//PFMmTIFm81GQUEBo0aNYvDgwfz4448sXbqUoqIiJk2aFFif1Wrl2muvZfXq1Xz++edotVpOPfVUfD5fve3eeuut/N///R9r164lNzeXc845R87phNhLi6rqnXHGGdxxxx3cdNNNaLX+nCs8PJwXXniB0047jYsuuoglS5ZIBxFCiKAqtZXi9Dgxh5uDHUqrsLltxLy/FICCwT1xpyUHOSLR1VU6KgkzhJEbn4te2+Ja/+3O5rYR8UBEULZde3Mt4cbwZs8/aNAgbrvtNgBuvvlmHnzwQRISEvj3v/8NwB133MELL7zAr7/+yscff8zQoUO5//77A8vPmTOHjIwMNm7cSG5uLqefXv+HltmzZ5OUlMS6devo379/oPz//u//GD9+PAAzZ86kX79+bN68md69ex/wcxci1LToitOqVau45ZZbAknTno477jh+++03hg0b1mrBCSFES3l8HnZV7yLc0PwTlY7u400fc/paNwDus84IcjSiq3N5XVQ7q8mLzwupq7odxcCBAwN/63Q64uPj67UjT072/3BSXFzMmjVrWL58OREREYFbXaJTVx3vr7/+YvLkyfTo0YOoqCi6d+8OwI4dO5rcbmpqamAbQoh/tOhnoj3fVI2Jiopi9uzZBxWQEEIcjAp7BZWOSlIiUoIdSqtQSrFm+es8UAhenZbK8WODHZLo4opqi8iMzqRbVLdgh9JsFoOF2ptrg7btljAY6neyodFo6pXVtdv0+Xz4fD4mTJjAQw891GA9dcnPhAkTyMjI4KWXXiItLQ2fz0f//v1xuVxNbnfPbQgh/tHxr68LIUQLFNYWAnSK6kPN8XPhzxz57U4AKo8+BG9cTHADEl1aub2cCGMEufG5nWp8NI1G06Lqcp3F0KFDee+998jOzkavb/iZV1ZWxvr16/nvf//L0UcfDcA333zT3mEKETJa3KueEEJ0VHa3ncLawpAau+mdP95m8m/+v6tPPzm4wYguzelxYnPbyEvII9IUGexwBPCf//yH8vJyzjnnHFatWsWWLVv47LPPuOCCC/B6vcTGxhIfH8+LL77I5s2b+eKLL7j22muDHbYQnZYkTkKIkFFm94/dFGEMTiPw1lZqK6Xq2y/oVQ4es5HK40cFOyTRRXl8Hoqs/ip66VHpwQ5H/C0tLY1vv/0Wr9fL8ccfT//+/bnqqquIjo5Gq9Wi1Wp58803WbNmDf379+eaa67hkUceCXbYQnRaoVGXRQjR5SmlyK/Jx6gzhszYTYv+XMRZv/rbGFSPG4UvvGVtJYQ4WEopKhwV1LpqSYlMITc+F61GfnNtK19++WWDsm3btjUo27OL8169erFw4cIm1zl27FjWrVvX5PLZ2dkNukyPiYlpcTfqQnQFkjgJIUJCtbOaUlspMeaYYIfSKjw+D4v/eI81f/gfl//r+OAGJLocm9tGia2EaFM0Q1OHkh6VHjJtB4UQ4kA0+xPw7rvvPqANjB49mpEjRx7QskII0VyhNnbTl9u+pM/6UtJrwBMVSfXoEcEOSXQRHp+HYmsxWo2WvPg8usd2b3HPcEIIEYqanTht3br1gDYwePDgA1pOCCGay+vzhtzYTe+ue5d//90pROX4Y1AmY3ADEl1Cma0Mm9tGamQqOXE5JFgSgh2SEEJ0GM1OnObOnduWcQghxAErt5dT5awiOTw52KG0im2V2/hl54+csd7/uHyiVNMTba/UVopGo2Fo2lDSI9M7VXfjQgjRHqSFpxCi0yu2FqOUCpn2F++tf4/j/4I4O7iT4qkZMSzYIYkQZ3VZcXld9E/qT2Z0piRNQgjRCEmchBCdmsPjoKCmgChTVLBDaRUOj4MlG5cExm4qnzAOdHISK9qOx+eh1F5KbnwuqRGpwQ5HCCE6LEmchBCdWpmtjBpXDZHG0BiQ89O/PsVXU8O/Nvi7VC8/VarpibajlKKgtoCMqAxy4nJCpit/IYRoC5I4CSE6rVAcu+m9de8xcQOEuRWO7Axsg/sFOyQRwoqtxcSYYuiT2CdkqroKIURbkcRJCNFp1bhqKLWVEm2KDnYorWJdyTrWla7jvN/qrjadACGSEIqOp8ZZg0LRJ7EPEcaIYIcjhBAdXosSp1WrVuH1egOP9x5V2ul08vbbb7dOZEIIsR+l1lLsHjthhrBgh9Iq3l33LglWGPeX/7EMeivaisvrosJRQe+E3iRHhEZvlKJ5srOzefLJJw94+Xnz5hETE9Nq8YSS0aNHc/XVV7fLtm6//XYuvvjidtlWY3777Te6deuG1WoNWgzB0KLE6YgjjqCsrCzwODo6mi1btgQeV1ZWcs4557RedEII0QSvz8vumt1EGELjl/JqZzWf/vUpZ/4BOp/COrAPzp7ZwQ5LhCCf8lFQW0B2TDbZMdnBDkfs4fzzz+df//pXm25j9erVzT7hbizJOuuss9i4ceMBb3/evHloNJrALTk5mQkTJvDHH38c8Do7ioULF3LPPfe0+XaKiop46qmnuOWWWwJl559/PhqNhksvvbTB/JdffjkajYbzzz+/3vynnnpqk9vIzs6ud5zqbg8++CAAAwYM4NBDD+WJJ55ovSfWCbQocdr7CtPej5sqE0KI1lbhqKDcUU60OTSq6X206SOcXicXrjcDcrVJtJ2i2iISLYn0Tugt3Y53QYmJiVgslgNePiwsjKSkpIOKISoqioKCAvLz8/noo4+wWq2MHz8el8t1UOvdH7fb3abrj4uLIzKy7Tsqmj17NkcccQTZ2dn1yjMyMnjzzTex2+2BMofDwRtvvEFmZmaLt3P33XdTUFBQ7zZjxozA9OnTp/PCCy/Uq40W6lq9jVOoNNAWQnRsJdYSUIREg3alFO+ue5fsChi21YHSaKiQQW9FG6hyVKHX6emb2Ddkqrh2JStWrODQQw/FZDKRmprKTTfdhMfjCUyvqanh3HPPJTw8nNTUVJ544okG1cf2vop01113kZmZiclkIi0tjSuvvBLwVzvbvn0711xzTeBqAzReVe+DDz5g+PDhmM1mEhISOO200/b5PDQaDSkpKaSmpjJ8+HCuueYatm/fzoYNGwLzfPfdd4wcOZKwsDAyMjK48sor61ULKygoYPz48YSFhdG9e3cWLFjQ4LlpNBpmzZrFxIkTCQ8P59577wXgww8/ZNiwYZjNZnr06MHMmTPr7cem9gnA888/T69evTCbzSQnJ3PGGWcEpu29rysqKpg6dSqxsbFYLBZOPPFENm3aFJhety8//fRT+vTpQ0REBCeccAIFBQX73H9vvvkmp5xySoPyoUOHkpmZycKFCwNlCxcuJCMjgyFDhuxznY2JjIwkJSWl3i08PDww/fjjj6esrIwVK1a0eN2dlXQOIYTodDw+D4W1hSHToP3Hgh/ZXrWdqesMANSMGI47JTHIUYlQ4/F5qHRW0iuuF/GW+GCH076UAqs1OLdWqomze/duTjrpJA455BB++eUXXnjhBWbPnh1IBgCuvfZavv32Wz744AOWLVvG119/zU8//dTkOt99912eeOIJ/vvf/7Jp0yYWL17MgAEDAP8Jd7du3epddWjMRx99xGmnncb48eP5+eef+fzzzxk+fHizn1dlZSULFiwAwGDwfwb+9ttvHH/88Zx22mn8+uuvvPXWW3zzzTdcccUVgeWmTp1Kfn4+X375Je+99x4vvvgixcXFDdZ/5513MnHiRH777TcuuOACPv30U8477zyuvPJK1q1bx3//+1/mzZvHfffdt9998uOPP3LllVdy9913s2HDBpYuXcrIkSObfG7nn38+P/74Ix988AErV65EKcVJJ51U78qXzWbj0Ucf5dVXX+Wrr75ix44d/N///V+T66yoqOD3339vch9Pnz6duXPnBh7PmTOHCy64oMn1HQyj0cigQYP4+uuv22T9HVGLf6pdt24dhYWFgP9X0j///JPa2loASktLWzc6IYRoRJWjihpXDcnhodGo/b0/3wMFF603A27KTzsh2CGJEFRiKyE1IpXM6JZX2en0bDaICNIPLbW1sMev9Afq+eefJyMjg2effRaNRkPv3r3Jz8/nxhtv5I477sBqtfLKK6+wYMECjj32WADmzp1LWlpak+vcsWMHKSkpjB07FoPBQGZmJoceeijgr3am0+kCVx2act9993H22Wczc+bMQNmgQYP2+VyqqqqIiIhAKYXNZgPglFNOoXfv3gA88sgjTJ48OXD1plevXjz99NOMGjWKF154gW3btvG///2P1atXBxKIl19+mV69ejXY1uTJk+slDlOmTOGmm25i2rRpAPTo0YN77rmHG264gTvvvHOf+2THjh2Eh4dz8sknExkZSVZWVpNXcjZt2sQHH3zAt99+y4gRIwB4/fXXycjIYPHixZx55pmAv/rgrFmzyMnJAeCKK67g7rvvbnLfbd++HaVUk8d1ypQp3HzzzWzbtg2NRsO3337Lm2++yZdfftnkOpty4403ctttt9UrW7JkCaNHjw48Tk9PZ9u2bS1ed2fV4sTp2GOPrdeO6eSTTwb8l0OVUlJVTwjR5irsFXh93pCoplfuLmfF9hUMKIKMXTX4jAYqTzwm2GGJEFPrqkWr0ZIbn4tBZwh2OOIArF+/niOOOKLeedaRRx5JbW0tu3btoqKiArfbHTjJB38nXnl5eU2u88wzz+TJJ5+kR48enHDCCZx00klMmDABvb75n61r167l3//+d4ueS2RkJD/99BMej4cVK1bwyCOPMGvWrMD0NWvWsHnzZl5//fVAmVIKn8/H1q1b2bhxI3q9nqFDhwam9+zZk9jY2Abb2vvKzJo1a1i9enXgChOA1+vF4XBgs9n2uU+OO+44srKyAtNOOOEETj311EbbjK1fvx69Xs9hhx0WKIuPjycvL4/169cHyiwWSyBpAkhNTW30ylmduvZLZrO50ekJCQmMHz+eV155BaUU48ePJyEhocn17cv1119fr0MJ+P/27js+impt4Phv+27KpickISSEFiB0LIhgQ1DE3gv2Clauolix8l6vIvbeC1jRq+IFLCBYkN57J6SQutleZt4/liyEJCSUZFOeL5/9kJ05M/PMnJ1knj1nzgQTpf1ZLJZQ8tsWHNJVx9atWxsrDiGEaBBFVSiwFxBhOPybm5uT2SWzCagB7tmSBOyhYtiJBGIa/+Zi0XYoqkKJq4QeST3aXhe9KhERwZafcG37KKjty+mqL7Krvryu+rm2MrXJyMhg/fr1zJ49m59//pkxY8bwn//8h7lz54a6zdXHYjn0e+W0Wi2dO3cGICcnh4KCAi699FJ+//13ABRF4ZZbbql2b1GVDh06VLsXan+17WvkAa19iqLw+OOP13ofltlsPugxqUr45syZw6xZs3j00UeZOHEiCxcurHHfV13H/cB6PPA471+XtalKgsrKykhKqr1L9/XXXx/q1vjqq6/Wua76JCYmhuqpLqWlpdUSv9bukO5xyszMrPdVVlbWWLEKIQSVnkoqPBVEG1t+cuFX/MwqmYVGgQuWBUeTKj1PuumJo2uPYw9JEUl0jO0Y7lDCR6MJdpcLx+so9cTp0aMHf/75Z7WL6j///JPo6GjS09Pp1KkTBoOBf/75JzTfZrNVG4ygNhaLhXPOOYeXXnqJOXPm8Ndff7Fy5UogeA9LfSOm9e7dm19++eUI9gzuueceli9fzvTp04HgIAerV6+mc+fONV5Go5GcnBz8fj9Lly4NrWPTpk2Ul5fXu63+/fuzfv36Wtet1QYviw92TPR6PcOGDePZZ59lxYoVbNu2jV9//bXGdnr06IHf72fBggWhaSUlJWzYsIHu3bsf9rHq1KkTVquVNWvW1FnmjDPOwOv14vV6GTGicQcaWrVq1WENPNFSHZV+LhUVFXz66ae88847LF++vE0NSyiEaFrl7nK8AS8mvSncoRyxP3b+QYmvhDMLIokpqiAQHUnFaSeGOyzRirh8LgJqgK4JXVvFOdMWVFRUsGzZsmrT4uPjGTNmDFOmTOGOO+7g9ttvZ/369Tz22GOMGzcOrVZLdHQ011xzDffddx/x8fEkJyfz2GOPodVq67yN4oMPPiAQCHDccccRERHBxx9/jMViITMzEwiOwPf7779z2WWXYTKZau3y9dhjj3HaaafRqVMnLrvsMvx+Pz/99BPjx49v8D5brVZuvPFGHnvsMc477zzuv/9+jj/+eMaOHctNN91EZGQka9euZfbs2bz88svk5OQwbNgwbr75Zl5//XUMBgP/+te/sFgs9d4y8uijjzJq1CgyMjK4+OKL0Wq1rFixgpUrV/LUU08d9Jj88MMPbNmyhaFDhxIXF8eMGTNQFKXW7pBdunTh3HPP5aabbuLNN98kOjqaBx54gPT0dM4999wGH5sDabVahg0bxvz58+t85pdOpwt1B9Tp6n7kgM1mY+XKlURGRoaSxvj4+NDQ5ZWVlaFxDapERERgtVoB2LZtG3l5eQwbNuyw96elOaJR9X799VeuuuoqUlNTefnllxk5ciSLFi06WrEJIUQ1qqqSb8/HrK+9b3dL8/W6rwH417bgTb5lI09FNcvFrTg6VFWlyFlEVmwWyZFH9twd0XTmzJlDv379qr0effRR0tPTmTFjBv/88w99+vTh1ltv5YYbbqh28/7kyZMZNGgQo0aNYtiwYQwePJju3bvXeT9MbGwsb7/9NoMHDw61HH3//fckJAS7dD7xxBNs27aNTp061dkt7OSTT+bLL7/kv//9L3379uXUU0+t1srSUHfddRdr167lyy+/pHfv3sydO5eNGzcyZMgQ+vXrxyOPPEJqamqo/EcffURKSgpDhw7l/PPP56abbiI6OrrOfa0yYsQIfvjhB2bPns0xxxzD8ccfz+TJk0PJ4sGOSWxsLN988w2nnnoq3bt354033mDq1Kn07Nmz1m29//77DBgwgFGjRjFo0CBUVWXGjBkN7gZZl5tvvplp06ahKEqdZaxWayjBqcucOXMYOnQoAwYMqPZZq/Loo4+Smppa7bV/Qjx16lSGDx8eOnZtgUY9xCfW7tq1iw8++ID33nsPh8PBJZdcwhtvvMHy5cvp0aNHY8V5VNlsNmJiYqioqKj3QyXq5vP5mDFjBiNHjjziXwKicbS2OrJ77czfMZ8oQ1SLfwbNLtsuzvv8PAx+sL8chbHCzoapr1I59Lj6FxZNQgko7F6ym7T+aWh1Le/pHcXOYow6I8e1P67V3BN4oLp+x7ndbrZu3UrHjh3rvZBuzRwOB+np6Tz//PPccMMNTb59RVGw2WxYrdZQi0Zj2bVrFxkZGfz888+hUQVbK1VVOf7447n77ru5/PLLD3s9R1I/Ho+HLl26MHXqVAYPHnzYMTSlg/1eaGhucEhHaeTIkfTo0YM1a9bw8ssvs3v3bl5++eXDi14IIQ5Rubscl8/V4pMmgK/XBlubxuzOxlhhx5ecQOXghj/7RIiD8fg9uP1uuiZ0bbVJk6hp6dKlTJ06lc2bN7NkyRKuvPJKgCPqGtZc/frrr/z3v/9l69at/Pnnn1x22WVkZWUd9LlKrYVGo+Gtt96q9tDeprZ9+3YeeuihFpM0HS2HdI/TrFmzuPPOO7nttttqHStfCCEa0x7HHgzalt9y5vF7+O/6/wJw3epg17zSc4bDQfqiC3EoCh2FZMVmkRqdWn9h0ao899xzrF+/HqPRyIABA5g3b95hD0fdnPl8Ph588EG2bNlCdHQ0J5xwAp9++mmr6F3REH369Kn3eVmNqWvXrnTt2jVs2w+XQ0qc5s2bx3vvvcfAgQPJyclh9OjRXHrppY0VmxBChLj9boqdxUSbWv5oer9u+5UKTwVZ+kR6Lt0MQOn5MpqeODqKHEVEG6PpHN8ZrabldTEUh69fv34sXrw43GE0iREjRjT6iHFCHOiQfqMOGjSIt99+m/z8fG655RamTZtGeno6iqIwe/ZsKisrGytOIUQbV+4ux+FztIpuR1+t+QqAR0p6ofd6cXfMwNmnZdwjKpovVVXZXbkbvVZPr5RereJLBiGEaE4O66uoiIgIrr/+eubPn8/KlSv517/+xf/93/+RnJzMOeecc7RjFEIIip3FaDXaFv8N+qbSTSwvXI5Oo2PUIhsAJeeOOGrPehFtk6Iq5FXmYTVZGZA2gJSolHCHJIQQrc4RX4F069aNZ599ll27djF16tSjEZMQQlTjC/gotBcSaYisv3AzV9XadF7s8ST9EXx4Y4l00xNHwK/42WnbSVJkEv1S+xFviQ93SEII0Sodta9udTod5513Hv/973+P1iqFEAIIdtOze+1EGaPCHcoRcXgdzNg0A4B7trZDoyiUduuGp2OHMEcmWipvwEteZR4Z1gz6tuuL1SSP2BBCiMbS4MTp1ltvZefOnQ0q+/nnn/Ppp58edlBCCLG/Ulcpqqqi1x7SeDbNzk+bfsLpc9IhpgN9f14FwM6TTgpzVKKlcvlc5NvzyY7Lpk+7Pq3i/j8hhGjOGnwVkpSURG5uLieccALnnHMOAwcOJC0tDbPZTFlZGWvWrGH+/PlMnTqV9u3b89ZbbzVm3EKINiKgBCiwFxBpbNnd9FRV3ffsJstJRK76GMWgJ+/EE0kKc2yi5bF77ZS5y8hJyKFrYtcW/6WCEEK0BA3+Tfvkk09yxx138O677/LGG2+watWqavOjo6MZNmwY7777LsOHDz/qgQoh2iabx0alp5LEiJb9HJKVRSvZWLoRk87EZUt9AFSccgK+gzyhXIjalLnKcPld5Cblkh2f3eIHTGlK3oAXv9J0Dw3Va/UYdcYm215zNnr0aLp3786DDz4Y7lCahZNPPpm+ffsyZcqUcIfSKhxzzDFMmDCBCy64oFG3c0hfUSUnJzNhwgQmTJhAeXk527dvx+VykZiYSKdOndDIqFBCiKOs3F2OT/Fh0LXshxpWDQoxouPppL72GwAlF4wMZ0iiBSq0F6LVaunbri/tre3l7+4h8Aa8/LPrH+w+e5NtM8oQxbHtj21w8lRZWckjjzzC9OnTKSoqol+/frz44oscc8wxoTLXXnstH374YbXljjvuOP7+++/Q+3HjxvHBBx8QFRXFs88+y2WXXRaa98UXX/Dxxx/z/fff1xuP1+tlypQpfPrpp2zcuJGIiAi6devGjTfeyFVXXYXBYODaa6+lvLycb7/9ts71rFixgh9//JHXXnstNO3kk09m7ty5ABiNRjIzM7n22mu5//770bXQh4FrNBqmT5/OeeedV2/Zb7755oge1rv/8dNoNCQlJTF06FCee+45MjMzD3u9B5ozZw6nnHIKZWVlxMbGNmiZhnwmjrZHHnmEe++9l/POOw+ttvG+TDrstv3Y2NgGH0AhhDgcqqqSb8/HoreEO5QjUu4u5+etPwMwxtEDY/4P+GOiKT/tRFhdHOboREugqAr59nwiDZH0SulFcmRyuENqcfyKH7vPjlFrxKQ3Nfr2PH4Pdp8dv+JvcOJ04403smrVKj7++GPS0tL45JNPGDZsGGvWrCE9PT1U7owzzuD9998PvTca963/+++/57PPPmPWrFls3LiR6667jtNPP52EhATKy8t56KGH+OWXX+qNxev1MmLECJYvX86TTz7J4MGDsVqt/P333zz33HP069ePvn37Nmi/Xn31VS6++GKio6s/W+ymm27iiSeewO1288MPP3DnnXei0+m4//77G7Te/QUCATQaTaNeNB8NPp8Pg8FAfPyRj35ZdfxUVWX79u3cfffdXHXVVcybN+8oRNr4qo7F0XDWWWdx0003MXPmTM4888yjss7aHNKny+l0MnbsWNLT00lOTuaKK66guPjI/+i/9tprdOzYEbPZzIABAxpc4X/88Qd6vb7BJ64QomWp9FZS4a5o8Q/y/H7D93gDXnIScxjwyxoAykYNQzVJFx5RP7/iZ5dtF3HmOAakDZCk6QiZ9CbMenOjvw41OXO5XHz99dc8++yzDB06lM6dOzNx4kQ6duzI66+/Xn0fTCbatWsXeu1/Eb527VpOPvlkBg4cyOWXX47VamXLli0AjB8/njFjxtChQ/0jeU6ZMoXff/+dX375hbFjx9K3b1+ys7O54oorWLBgAV26dGnQfimKwldffVXrcz4jIiJo164dWVlZ3H777Zx22mmhVorJkyfTq1cvIiMjycjIYMyYMdjt+1oLP/jgA2JjY/nhhx/o0aMHJpOJ7du3s3DhQk4//XQSExOJiYnhpJNOYsmSJdW2q9FoePPNNxk1ahQRERF0796dv/76i02bNnHyyScTGRnJoEGD2Lx5c7Xlvv/+ewYMGIDZbCY7O5vHH38cvz/Y9TMrKwuA888/H41GE3o/ceJE+vbty3vvvUd2djYmkwlVVTn55JO5++67Q+v2eDyMHz+ejIwMTCYTXbp04d133z3osa06fqmpqRx//PGMHTu2xr7OnTuXY489FpPJRGpqKg888EAo5qrt3nXXXSQnJ2M2mznxxBNZuHAhANu2beOUU04BIC4uDo1Gw7XXXgvAV199Ra9evbBYLCQkJDBs2DAcDgcTJ07kww8/5LvvvkOj0aDRaJgzZw7btm1Do9HwxRdfcPLJJ2M2m/nkk08oKSnh8ssvp3379kRERNCrV68ajzc6+eSTuf3227n99tuJjY0lISGBhx9+GFVVQ2V0Oh0jR45s9EcjHVLi9Nhjj/HBBx9w1llncdlllzF79mxuu+22Iwrg888/5+677+ahhx5i6dKlDBkyhDPPPJMdO3YcdLmKigquvvpqTjvttCPavhCi+apwV+D2uzHrzeEO5bApqhIaFOLyjucS9+OvAJRcdFY4wxItRNVw42nRafRP7U+sOTbcIYlG4vf7CQQCmM3Vf99ZLBbmz59fbdqcOXNITk6ma9eu3HTTTRQVFYXm9enTh0WLFlFWVsbixYtxuVx07tyZ+fPns2TJEu68884GxfPpp58ybNgw+vXrV2OewWAgMrJhA/asXr2a8vJyBg4cWG9Zi8WCzxe8B1Sr1fLSSy+xatUqPvzwQ3799VfGjx9frbzT6WTSpEm88847rF69muTkZCorK7nmmmuYN28ef//9N126dGHkyJFUVlZWW/bJJ5/k6quvZtmyZeTk5HDFFVdwyy23MGHCBBYtWgTA7bffHio/c+ZMrrrqKu68807WrFnDm2++yQcffMDTTz8NEEo23n//ffLz80PvATZt2sQXX3zB119/zbJly2rd96uvvppp06bx0ksvsXbtWt544w2iohr+CI7S0lK+/PJLjjvuuNC0vLw8Ro4cyTHHHMPy5ct5/fXXeffdd3nqqadCZR577DG++eYbPvzwQ5YsWULnzp0ZMWIEpaWlZGRk8PXXwb9f69evJz8/nxdffJH8/Hwuv/xyrr/+etauXcucOXO44IILUFWVe++9l0suuYQzzjiD/Px88vPzOeGEE0Lbu//++7nzzjtZu3YtI0aMwO12M2DAAH744QdWrVrFzTffzOjRo1mwYEG1/fvwww/R6/UsWLCAl156iRdeeIF33nmnWpljjz220VvbDqmr3jfffMO7774b6it71VVXMXjwYAKBwGH3R508eTI33HADN954IxD8hmPmzJm8/vrrTJo0qc7lbrnlFq644gp0Ol29fSg9Hg8ejyf03mazAcEmwqoTVBy6qmMnx7D5asl1pKgKO8t3YsCAElDCHc5h+zvvb3bZdhFpiOTiDUZ0DifujDQq+/cK7VdL3r/WLNz14/K5KHGWkBWbRbeEbhg1xhZ5Ljemun7H+Xw+VFVFURQUZW897v1ZUYOvxqaoyr5tKvVvr6qV48knn6Rbt26kpKQwderUUOtO1TpGjBjBhRdeSGZmJlu3buWxxx7j1FNPZeHChZhMJk4//XSuvPJKjjnmGCwWC++//z4Wi4XbbruN9957j9dee41XXnmFxMRE3njjDXr27FlrPBs3buSkk06qN3ZVVUPHurZ5O3bsQKfTkZiYWKPM/nU0a9YsZs6cyV133YWiKNUSvMzMTB5//HHGjh3LK6+8Ejy+ioLP5+OVV16hT58+obInn3xytW28/vrrfPHFF/z222+MGjUqNP3aa6/loosuAuC+++5j8ODBPPTQQ5x++ukA3HHHHdxwww2hmJ9++mnuv/9+Ro8eDQRbmB5//HEeeOABHnnkERISEgCwWq0kJyeHYlRVFa/Xy4cffkhSUlJov/ff/w0bNvDFF18wc+ZMhg0bFlp/1Trq8tprr/HOO++gqipOp5OuXbvy008/hZZ59dVXycjI4KWXXkKj0dC1a1fy8vJ44IEHePjhh3E6nbz33nu89957jBgxAoA333yT2bNn884773DvvfeGbstJTEwM/bxx40b8fj/nnXdeqPVy/8+R2WzG7XaHjsP++3HXXXfVuAds3LhxoZ/Hjh3LTz/9xBdffFHt3r6MjAyef/55NBoNXbp0YcWKFbzwwgvccMMNoTKpqans2LEDv99fa5fNqvrw+Xw18paG/m49pMRp586dDBkyJPT+2GOPRa/Xs3v3bjIyMg5lVUCw/+zixYt54IEHqk0fPnw4f/75Z53Lvf/++2zevJlPPvmkWtZcl0mTJvH444/XmD5r1iwiIuS5F0dq9uzZ4Q5B1KOl19Fudoc7hMP26dbgM+1OijmJ+Pd+BGD7oBPZvTQ/VKZgeUFYYhMNE8760aJl595/om4H/o7T6/W0a9cOu92O1+sFwOlz4nQ60fq0BPSBRo/J7Xfj9Dmx2Wz4DQ0bye/VV1/l9ttvJyMjA51OR58+fbjoootYsWJF6Evf/e/f6NChA9OmTaN379589dVXnH322QDcc8893HPPPaFyEydOZMiQIXg8Hp566in++OMPZs6cyejRo5kzZ06tsVRdYFZtty4+nw+/319nOZfLhclkqtHi4/f7Qy0gVXV06aWXcvfdd2Oz2Zg3bx6TJ09m/fr1VFZW4vf7cbvd5OfnExkZidvtxmg0kpWVVW3be/bs4ZlnnmHevHkUFRWhKApOp5MNGzZUK9e5c+fQ+6rWs+zs7NC06Oho3G43u3btwmq1snjxYhYuXMgzzzwTWkcgEMDtdlNQUBC6nnS5XNW24/F4Qt3v9p/u9/vxer3YbDb++usvdDod/fr1q/d477/8xRdfzL/+9S8AioqKmDx5MsOHD+e3334jOjqalStXMmDAgGrHvnfv3tjtdtauXUtFRQU+n4/evXtX226/fv1Cnzmn0wkEBy6pSkY6duzISSedRJ8+fTj11FM55ZRTOPfcc0OJVW2fiapuljk5OdWmBwIBXnjhBaZPn05+fj5erxePx1PtePn9fvr3719tP/r06cPkyZMpKysLJUFVieiePXuwWGreG+31enG5XPz+++/VuisCof2szyElToFAoNoNiBD85XTgxhuquLiYQCBASkpKtekpKSkUFNT+h2rjxo088MADzJs3D72+YeFPmDChWjZrs9nIyMhg+PDhWGUo4MPm8/mYPXs2p59++lG7uU8cXS21jhRVYVnBMgrthaRGp4Y7nMNWaC9k4fJgd42bepxD8vKxAHjGXkJaxzSUgELB8gLa9WmHVte8b2hui8JVPyXOEvyKn24J3ciMzZSR8w6irt9xbrebnTt3EhUVFer6pvfpiSiLINIU2STdf3V+HYpHwWq1NvjhxH369GHevHk4HA5sNhupqalcdtllZGdn13m9YrVayczMJC8vr9Yy69at4+uvv2bx4sW8//77DB06lOzsbK6++upQV7TaluvatSubN2+u9zrJYDCg1+trLaeqKgkJCTidTsxmc7VrSL1ezxVXXMGDDz6IyWQiLS0tdAG8fft2LrnkEm655Raefvpp4uPjmT9/PjfddBMWiwWr1YrZbMZisRATE1Ntm5dffjnFxcVMmTKFzMxMTCYTgwcPRqfTVYvRarWG3lcNWhEbGxuaVpVMRUVFYbVaURSFiRMncv7559fYz+Tk5FBSURVfFZPJRHR0dI3jo9frMRqNWK3W0D1qVqu1wX+r9Xo9iYmJ1e7z7927N+np6fz000/ceOON6HS60DaqVO2X1WoNtbIcGN/+y1UlhAeW+eWXX/jzzz+ZPXs27777Lk8//TR//fUXHTt2rPUzUdXtMDk5udr0//znP7zxxhvV7mm75557UBQlVE6v12MwGKotV5UYWa3W0OfG7XYTERFRI6+o4na7sVgsDB06tEaX2IYmrIeUOKmqyrXXXovJtO+GR7fbza233lqtr+s333xzKKut8UdBVdVa/1AEAgGuuOIKHn/8cbp27drg9ZtMpmoxVzEYDC3qYrK5kuPY/LW0Otrj2EOhq5Ck6KQWnVB8u/FbFFVhQOoABvy+AU0ggL1fLr7OWdVuMNXqtC16P1u7pqqfqlEkTXoT/ZP7kxad1ujbbC0O/B23/whrVRe0VT9rNdomefaVVqPdt81DHOktOjqa6OhoysrKmDVrFs8++2yd6ygpKWHnzp2kpaXVKKOqKrfeeivPP/986OK/qhtTILCv1a22dVclNcuXL69xn5Pf78fj8RAZGRkaAKCurlG9evUCggncgYN5xcbG1no9t2TJEvx+P5MnTw6t96uvvgrFemC97m/+/Pm89tproW55O3fupLi4uEaMta3jYNP69+/Phg0bDnr9aTAYUFW12naqrmdrOz5VMfXp0wdFUZg3b16oq15DHLhPVeeAx+NBq9XSs2dPvv7661AdAfz9999ER0eTkZFBfHw8RqORP/74g44dOwLBLyMWL17M3XffjVarDSUYB+4XwJAhQxgyZAiPPfYYmZmZfPfdd4wbNw6TyYSiKDWO9/7Hs8r8+fM599xzufrqq4HgZ2bTpk107969WrkFCxZUe//PP//QpUuXauf9mjVr6N+/f53nilarRaPR1HpN1OCEtUGl9rrmmmtqTLvqqqsOZRXVJCYmotPparQuFRUV1ZotVlZWsmjRIpYuXRr6lqSqv6Jer2fWrFmceuqphx2PECL8VFVlR8UONGha9IMjfQEf3677FoCLe1xM/CsfAFB6kTy7SdQUUALsrtxNnCWO3ORcEiISwh1Sq+Xxe+ovFKbtzJw5E1VV6datG5s2beK+++6jW7duXHfddUCwu9PEiRO58MILSU1NZdu2bTz44IMkJibW2hLy9ttvk5ycHBrRbvDgwUycOJG///6bn376iR49etT5aJm7776bH3/8kdNOO40nn3ySE088kejoaBYtWsS///1v3n333QaNapyYmEj//v2ZP39+g0dB7tSpE36/n5dffpmzzz6bP/74gzfeeKNBy3bu3JmPP/6YgQMHYrPZuO+++2rttnWoHn30UUaNGkVGRgYXX3wxWq2WFStWsHLlytBtI1lZWfzyyy8MHjwYk8lEXFxcg9adlZXFNddcw/XXX89LL71Enz592L59O0VFRVxyySV1Lud0OkPX0IWFhTz11FOYzWaGDx8OwJgxY5gyZQp33HEHt99+O+vXr+exxx5j3LhxaLVaIiMjuf7667n//vtJTEykQ4cOPPvsszidztC9Q5mZwVbvH374gZEjR2KxWFi9ejW//PILw4cPJzk5mQULFrBnzx66d+8e2p+ZM2eyfv16EhISarQK7q9z5858/fXX/Pnnn8TFxTF58mQKCgpC66qyc+dOxo0bxy233MKSJUt4+eWXef7556uVmTdvXmjfG8shJU77PzPgaDAajQwYMIDZs2dXO+Fnz57NueeeW6O81Wpl5cqV1aa99tpr/Prrr3z11VehbFkI0XKVuErIr8wn3nLkz7gIp1+2/kKJq4SkiCTO9GYSuXIdql5H6TmN+0tdtDzegJd8ez6p0ankJuW2+OH3myu9Vk+UIQq7b999T40tyhCFXtvwS62KigomTJjArl27iI+P58ILL+Tpp58OfRuu0+lYuXIlH330EeXl5aSmpnLKKafw+eef13hGUmFhIc8880y1e8aPPfZY/vWvf3HWWWeRnJxc40G6+zOZTMyePZsXXniBN998k3vvvTc0dPedd95Jbm5ug/frxhtv5KOPPqo2St3B9O3bl8mTJ/Pvf/+bCRMmMHToUCZNmhRqlTiY9957j5tvvpl+/frRoUMHnnnmGe69994Gx1qXESNG8MMPP/DEE0/w7LPPYjAYyMnJCQ1uBvD8888zbtw43n77bdLT09m2bVuD1//666/z4IMPMmbMGEpKSujQoQMPPvjgQZd5++23efvtt4HgcOG9e/dmxowZdOvWDYD09HRmzJjBfffdR58+fYiPj+eGG27g4YcfDq3jscceQ6/XM3r0aCorKxk4cCAzZ84MJX3p6emhQTCuu+46rr76au6//35+//13pkyZgs1mIzMzk+effz50/91NN93EnDlzGDhwIHa7nd9++y002MWBHnnkEbZu3cqIESOIiIjg5ptv5rzzzqOioqJauauvvhqXy8Wxxx6LTqfjjjvu4Oabbw7Nz8vL488//+STTz5p8DE/HBp1/0HQw+Dzzz9n9OjRvPHGGwwaNIi33nqLt99+m9WrV5OZmcmECRPIy8vjo48+qnX5iRMn8u2339Y5vGNtbDYbMTExVFRUyD1OR8Dn8zFjxgxGjhzZorqBtSUtrY5UVWVZwTJ22HbQPrp9uMM5Ijf+90aWFS7j5v43M3GWl9RXPqB8+FA2vz85VEYJKOxespu0/mnSVa8Zaor6cflcFDmL6Bjbke5J3Vv00PvhUNfvOLfbzdatW0PPiKziDXjxK4d3X/bh0Gv1Lbrl/EgpioLNZsNoNNK9e3emTZvGoEGDwh2W2KuqfqxWa7N+cPDJJ59M3759mTJlSp1l7rvvPioqKnjrrbfqLFPX7wVoeG5wSC1OjeHSSy+lpKSEJ554gvz8fHJzc5kxYwaZmZkA5Ofn1/tMJyFE61DmLmN35W4SLYnhDuWIbCzZyLLCZeg0Os7vei4Jt14PQMmF0k1P7GPz2LB5bOQk5NA1seshtUyIw2PUGdt0IhMuZrOZjz76iOLi4nCHIlqp5OTko9KyWJ9m8Vt6zJgxjBkzptZ5H3zwwUGXnThxIhMnTjz6QQkhmtyOih34FX+L/9b9yzVfAnBK1il0XLET4+5C/NYoKoYNqWdJ0VYUO4vxK356JfciKy6rSQYrECKcTjrppHCHIFqx++67r0m20ywSJyGEKHMFW5sSLC37pni7185Pm34C4OKeF5Pwnx8AKDv7dFRzzdE9RduiqioFjgJMOhP9U/u36OH2hRCiKdT1rLFwkK+4hBDNwk7bTrx+LxbDkY9+FE4/bPgBl99Fdlw2A63difvhFwBKpZtem+dX/Oyq3EW0MZoBaQMkaRJCiBZGWpyEEGFX4a4gz5bX4kfSU1U11E3v4h4XE/fjr+gcTtxZGdiP7Rve4ERYefweChwFpEen0zO5J1HGqHCH1CaEefwrIUQzcjR+H0iLkxAi7HbZduEJeIg0RtZfuBlbuHsh2yu2E2GIYGTnkSR+/l8ASi4ZBbU81Fu0DQ6vg0JHIdlx2fRt11eSpiag0+kAmmzYcSFE8+d0OoGGP+y2NtLiJIQIK5vHxi7bLuLMDXtQYHNW1dp0VpeziM8rJfrvJagaDSUXjwpzZCJcylxlOP1OeiT1oHN8Z3RaXbhDahP0ej0RERHs2bMHg8HQrIdabs0URcHr9eJ2u6UOmqG2Uj+qquJ0OikqKiI2Njb0xcrhkMRJCBFWuyp24fA5SIxo2UOQF9oLmbt9LgAXdb+IhLe/B8B20vH40lLCGZoIA1VVKXQUotPq6NeuH+2t7dFIq2OT0Wg0pKamsnXrVrZv3x7ucNosVVVxuVxYLBb5/DdDba1+YmNjadeu3RGtQxInIUTYOLwOdlXuIt7csu9tAvhm3TcoqsKA1AF0iski4csfASi59JwwRyaaWkAJkG/PJ8YUQ8/kniRFJoU7pDbJaDTSpUsX6a4XRj6fj99//52hQ4e2iIewtzVtqX4MBsMRtTRVkcRJCBE2hfZC7F47Hawdwh3KEfEFfHy77lsgOCiEdd4/GPML8cdaKR8+NLzBiSblDXjJt+eTGpVKbnIu0abocIfUpmm1Wszmlv1cuJZMp9Ph9/sxm82t/sK8JZL6OXStt0OjEKJZ8wa87KjYQbQxusV3Efh126+UuEpIjEjk5KyTSdg7KETp+WfIs5vaEIfXQYG9gOy4bPql9pOkSQghWhlpcRJChEWRo4gydxntre3DHcoR+3J1cFCI83POx1ThIPZ/cwAolm56bUa5uxyHzyGDQAghRCsmiZMQoskFlAA7KnZg1pvRalp2w/e64nUsK1yGTqPjgpwLiP9yJlqvD2ePrrhyu4U7PNHI9h8Eom+7vmRYM1p8C6oQQojaSeIkhGhyJa4Sip3FJEckhzuUI/b56s8BOC37NJIik0iYtvfZTZeeLc9uauX8ip/8ynxizbEyCIQQQrQBkjgJIZqUqqrsrNiJBg0GXcu+GbXMVcbMzTMBuLzn5VhWbyBy5ToUg56SC84Mc3SiMXn8HgocBaRFp9EzqafczySEEG1Ay+4jI4Roccrd5RTYC4i3tI4hyL0BLz2SepCbnEvC58FnN1WcPpRAfGx4gxONxu61U+QoonN8Z/q1k0EghBCirZAWJyFEk8qvzMen+DDrW/YQwX7Fz1drvgLg8tzL0fr8JHwzA5BBIVqzYmcxvoCP3ORcOsZ1lEEghBCiDZHESQjRZKoeeBtrig13KEfsl62/sMe5hwRLAsM6DiPmf7+jL6vAm5KI7eTjwx2eOMpUVSXfno9Zb6Z/Wn/SotPCHZIQQogmJl31hBBNpsBegN1rJ8oYFe5Qjtjnq4KDQlzY/UIMOkOom17pRWeBXr6Tak1UVWW3fTdWk5WBaQMlaRJCiDZK/roLIZqEN+Ble8V2rEZrix+uefWe1awoWoFeqw8mTgV7iPntTwCKLzk7zNGJo63QUYjVbKVPuz7EmmPDHY4QQogwkRYnIUSTKHIUUeGuIMYcE+5Qjti0VdMAGJ49nISIBOK//hGNomAf2BtP56zwBieOOoveIkmTEEIISZyEEI2vNT3wtthZzOwtswG4LPcyUFUS9z67qfgyGRSiNSmyFwHQK6UXcZa4MEcjhBAi3Fr2FYwQokUodhazx7GnVQxB/vXar/Erfnqn9KZHUg+i/lqMecsOAhEWykYNC3d44ijZ49iDXhfszd4aPrdCCCGOnCROQohGpaoqu2y70KBBr23Zt1V6A16+WfsNAJf1vAyApI+/BqD0/DNQolv+oBcimOhrNBpyk3PDHYoQQohmRBInIUSjKnGVkF+ZT0JEQrhDOWI/b/mZElcJyZHJnNrxVPR7Soj96TcA9lx9YZijE0dDqasURVXoldKL5MjkcIcjhBCiGZHESQjRaBRVYXv5dlTUFv/AW1VVQ4NCXNT9IvRaPQmff4/W58fRryeu3JwwRyiOVKWnEm/AS6+UXjLkuBBCiBokcRJCNJpiZzG7K3eTYGn5rU0ri1aypngNRp2R83POB0Uh6ZNgt709o6W1qaXzK35K3aV0TehKe2v7cIcjhBCiGZLESQjRKBRVYWvZVjRoMOlN4Q7niE1bHWxtOqPTGcRZ4rDO/RvTzt34rVGUnjM8zNGJI1VgLyA9Op2s2KxwhyKEEKKZksRJCNEoCu2FFNgLSIxIDHcoR6zAXsAvW34B9g5BDiTubW0quXgUqqVld0Ns68rd5VgMFnISczDoDOEORwghRDMliZMQ4qgLKAG2lW9Dr9W3igvRaaumEVADDEgdQNeErhh2FxI7ex4AxVddEOboxJHwBrxUeivpltCtVTycWQghROORxEkIcdQV2AsodBS2itYmu9fO9HXTARjdezQAidO+QxMIUHl8f9xds8MZnjgCqqpSYC8gMyaTjJiMcIcjhBCimZPESQhxVPkCPraWbcWkM7X45zYBfLP2Gxw+B9mx2QzOGAx+P4mffgvAntHS2tSSlbhKiDXH0jWhK1qN/DkUQghxcPKXQghxVBXYC9jj3NMqRtLzBXyhQSGu6n0VGo2GmF/mYywowhcfS/mZp4Y5QnG4XD4X3oCXbondiDRGhjscIYQQLYAkTkKIo8Yb8LKlbAsRhgh0Wl24wzlis7bMoshRRGJEImd0PgOApI/3Dgpx2TmoJmM4wxOHSVEVipxFZMdlkxqVGu5whBBCtBCSOAkhjpr8ynxKXCXEW+LDHcoRU1WVj1d8DMBlPS/DqDNi3L4L65y/ANhzpXTTa6mKHEUkRyTTKb4TGo0m3OEIIYRoIVr+DQhCiGbB7XezpWwL0cboVnG/yIK8BWwq3YRFb+GC7sEkKfGzb9GoKhUnHY83Sx6S2tKoqkqJqwSNRkO3xG6Y9TKMvBBCiIZr+Vc3QohmIc+WR5m7jFhzbLhDOSo+WvERAOflnIfVZEXj9ZE49TsAikdfGM7QxGFw+93stO1Er9XTJ6UPSZFJ4Q5JCCFECyMtTkKII+byudhWvo0YU0yraG1aX7Kef/L+QafRcXnu5QDE/vQbhpIyvO2SKB82JMwRioaqamVy+910jOtIl/guMhiEEEKIwyKJkxDiiBU6CqnwVNDB2iHcoRwVn6z4BIDTsk8jLToNgKSPvwag+PLzwCC/OlsCt99NkaOIGHMMucm5pEantorEXgghRHjIX38hxBHxBrxsK9tGtDG6VdxoX2AvYNbmWQCM7hV84K15/Wai/1qMqtVSfPm54QxPNIC0MgkhhGgMkjgJIY5Iob2QMncZ7a2tY7CEaaumEVADDEwdSPek7gAkvzMVgPIzTsaX3i6c4Yl6OH1Oip3FxJpjpZVJCCHEUSWJkxDisPkVP9vLt2PRW1rFxanda2f6uulA8IG3APqSMhK+ngFA4c1XhC02cXB+xU+RowitRkvXhK50jOtIhCEi3GEJIYRoRSRxEkIctj2OPZS4SmgX1TpaYb5Z+w0On4Ps2GwGZwwGIPHjr9F6vDj69MAxsE+YIxQHUlWVMncZdq+d1OhUOsd3JjEiMdxhCSGEaIUkcRJCHBZFVdhesR29Vo9e2/J/lfgCPqatngYEW5s0Gg0aj5fkD78EoPCmK6AV3MPVmrh8LvY492A1Wemf2p90a3qr+CwKIYRonuQvjBDisBQ7iylyFJEckRzuUI6KHzf+SJGjiMSIRM7ofAYAcd/PxlBUEhyC/KzTwhyhqOIL+Njj3IMGDZ3jO5Mdly2DPwghhGh0kjgJIQ6ZqqrsrNiJBg0GnSHc4Rwxv+Ln/WXvA3BVr6sw6oygqqS8/RkAe669BNXY8vezpfMrfoqdxfgVP6nRqXSM7UhiRGKrGM1RCCFE8yeJkxDikJW5yyiwFxBviQ93KEfF/zb9j7zKPGLNsVzY/UIAov5eQsSq9ShmE3uuPD/MEbZtiqpQ6irF5XORHJVMx9iOpESltIoBSYQQQrQckjgJIQ7Zzoqd+BU/Zr053KEcsYAS4L1l7wHB1iaLwQLsG4K85KKzCMTHhiu8Nk1VVcrd5VR6K4m3xNMzuSftotrJfUxCCCHCQv76CCEOSYW7gt2Vu4kzx4U7lKPi560/s6NiB1aTlYt7XAyAcdsuYmfOBaDoxsvDGV6b5Q14ybfnE2OKoV9qP9Ki04JdKIUQQogwkcRJCHFI8mx5uP1ukiNb/qAQiqrw3tJga9PluZeHBhhIfm8aGlWl4pQTcHfpGM4Q2yS7106pq5SOsR3plthNnsckhBCiWZDESQjRYA6vg12Vu1pNa9PcbXPZXLaZSEMkl/W8DACtzU7itP8Ce4cgF02q2FmML+AjNzmX7LhsdFpduEMSQgghAJA7a4UQDZZfmY/dayfaFB3uUI6Yqqq8s/QdAC7teWlonxKnfovO4cTVNZvKoceFM8Q2JaAE2GXbhV6rZ0DaALokdJGkSQghRLMiLU5CiAZx+pxsr9hOjCkm3KEcFX/s/IP1Jeux6C1c0Wtvy5LfT/J7nwN7722SYa6bhNvvptBRSGpUKj2SehBjbh2fMSGEEK2LJE5CiHoFlAAbSjZQ4amgg7VDuMM5Yvu3Nl3U4yJizbEAxM6ci2lXPv64GEouODOMEbYdNo+NCk8FXeK70DWhKya9KdwhCSGEELWSxEkIUa9t5dvYVraN1KjUVvGw0QV5C1hVtAqTzsRVva4KTQ898Hb0haiWlj/UenPn9Dmp9FbSO7k3WXFZ8lwmIYQQzZr8lRJCHNQexx7Wl6wnxhzTaoaDfnfpuwBc0P0CEiISAIhcvJKohctRDHqKrr0knOG1Cb6Ajz3OPXRN6ErHuI6SNAkhhGj25C+VEKJODq+DNXvWoKoqVpM13OEcFYvzF7O0YCkGrYHRvUeHprd7KTgseekFZ+JPSQxXeG2Coirk2/PJjMmkc3znVtGKKYQQovWTxEkIUauAEmBd8TpKXaWkRKaEO5yj5t0lwdamc7udG3oWlWXVOmJ/noeq1VIw9towRtc2FNoLibfE0z2pO3qt9BgXQgjRMkjiJISo1ZayLWyv2N5q7msCWFawjH92/4NOo+OaPteEpqe+9D4AZeecjqdTZrjCaxPKXGUYdAZyk3PlwbZCCCFaFEmchBA1FNoL2VCygQRLAgadIdzhHBWqqvLKP68AcE63c0iNTgXAvGELsTN+BSD/juvCFl9b4PQ5cfgc9EjqEbq3TAghhGgpJHESQlRj99pZs2cNWo2WKGNUuMM5av7Y+QfLCpdh0pm4sd+NoentXn4fjapSduYpuHM6hzHC1s2v+Nnj3EOX+C60t7YPdzhCCCHEIZPESQgR4lf8rN2zlnJ3OUkRSeEO56hRVIVXFgZbmy7peQkpUcF7tozbdhH/7UwACu68PmzxtXaqqrK7cjcZ1gy6JHRpNV0/hRBCtC2SOAkhQjaXbmanbSdp0Wmt6uL2f5v+x6bSTUQbo7m2z7Wh6e1e/QCNolBx6gk4e3cPX4CtXIG9gHhLPD2SerSarp9CCCHaHkmchBBA8OJ2Y8lGEiwJrWqkM2/AyxuL3gDgmj7XEGOOAcCQV0DClz8AkH/nDWGLrzVTVIVdlbuwGCzkJucSaYwMd0hCCCHEYWs9V0dCiMNm99pZu2cteq2+Vd3XBPDN2m/Ybd9NYkQil+VeFpre7o2P0fr82E4YiOOYPmGMsHXyBXzk2/NJikgiNyWXWHNsuEMSQgghjogkTkK0cX7Fz/ri9VR4Kmgf3bpu2nd4Hby7NPjcppv634RZbwZAX1RM4mffAlBwl7Q2HW0un4siZxGZMZn0SOqBxWAJd0hCCCHEEZPESYg2bmvZVnZU7GhVz2uq8tmqzyhzl9HB2oFzu50bmp7y1qdo3R7sA3pTOXhgGCNsfWweGzaPjW4J3eia0FXuaRJCCNFqSOIkRBtW9bymeEt8q7vALXOV8fGKjwG4beBtofu2dKXlJH34FQD5d10PrSxZDKdiZzF+xU+v5F5kxWWh1chttEIIIVoPSZyEaKMcXgdr96xFg6bV3dcE8N6y93D6nOQk5nBa9mmh6cnvTkPndOHM7Ybt1MFhjLD1CCgBCh2FWPQWeqf2Dj1cWAghhGhNJHESog0KKAHWFa+jzF1GhjUj3OEcdfmV+Xy1JtiqdPsxt4daPrQ2O8nvTQuWuVNam46GCncF5Z5y2kW1o3tid+IsceEOSQghhGgUkjgJ0Qa15vuaAN5c/CY+xccxacdwXPpxoent3vgYvc2Oq2s25WeeEsYIWz5vwEuRowizwUyflD50iOnQ6rp7CiGEEPuTxEmINmaPYw8bSjcQZ45rlRe6m0o38ePGHwG4/djbQ4mhvrCY5Lc+BWD3+NtAK/ffHA5VVSlxleD2u8mIyaBTXKfQs7GEEEKI1kwSJyHaEJfPxZo9a1BVlWhTdLjDOepUVeX5v55HReW0jqfRM6lnaF7aC2+jc7mx9+9F+Rknhy/IFszhdVDsKibeHE9uci6p0akyAIQQQog2QxInIdoIRVVYX7KeEldJq7yvCeCXrb+wcPdCTDoTdx57Z2i6afP20HOb8h66Q+5tOgwlzhK8AS85CTl0jOsoz2YSQgjR5kjiJEQbscu2i+3l22kX2a5VthK4fC5e+PsFAK7uczXp1vTQvPR/v4YmEKB82BDsx/cPV4gtVpGjCK1GS7/UftWOqxBCCNGWNIurp9dee42OHTtiNpsZMGAA8+bNq7PsN998w+mnn05SUhJWq5VBgwYxc+bMJoxWiJanwlPBuuJ1RBoiMelN4Q6nUXyw/AMKHYWkRqVyTZ9rQtMjlqwi7sdfUDUa8iaMDWOELY+qquRX5mPQGujbrq8kTUIIIdq0sCdOn3/+OXfffTcPPfQQS5cuZciQIZx55pns2LGj1vK///47p59+OjNmzGDx4sWccsopnH322SxdurSJIxei5dhQsgGX39Vqh4reZdvFR8s/AmDc8eMw683BGapK+2deAqDk4lG4czqHK8QWR1EV8ux5RBmj6Jfaj5SolHCHJIQQQoRV2LvqTZ48mRtuuIEbb7wRgClTpjBz5kxef/11Jk2aVKP8lClTqr1/5pln+O677/j+++/p169frdvweDx4PJ7Qe5vNBoDP58Pn8x2lPWl7qo6dHMPmy+v1ApBfkU9aTBpKQAlzRI3j+T+fx6f4OC7tOIZmDA3tZ8xvfxL91xIUk5G8e25qdvtfFU9ziyugBCioLCA+Ip6eST2xGqxt8jyX33HNn9RR8yb107xJ/ezT0GMQ1sTJ6/WyePFiHnjggWrThw8fzp9//tmgdSiKQmVlJfHx8XWWmTRpEo8//niN6bNmzSIiIuLQghY1zJ49O9whiHrot+opoijcYTSKRbZFzNs5Dx06RltHk780PzgjEKDro8F7njafOZJthQoU7g5jpHUrWF4Q7hBq0KChjDLmMz/coYSd/I5r/qSOmjepn+ZN6gecTmeDyoU1cSouLiYQCJCSUr0LSEpKCgUFDbuQeP7553E4HFxyySV1lpkwYQLjxo0LvbfZbGRkZDB8+HCsVuvhBS/w+XzMnj2b008/HYOh9T0PqKVzep0s3rWYynWVtOvTDq0u7D1zjzpvwMuH0z8E4PLcyzn22GND8xK+nkHM9u34rdFUPjGWtNjm96whJaBQsLyg2dSPL+CjwF5AujWdHok9MBvM4Q4prOR3XPMnddS8Sf00b1I/+1T1RqtP2LvqAaEHVFZRVbXGtNpMnTqViRMn8t1335GcnFxnOZPJhMlU84Z4g8HQ5j8oR4Mcx+YnoATYYttCha8CLVq0Om2zuDA/2qaunMpO204SLAncOODG0D5q3B7Sn3sDgII7rkVNiAv/DZ0H0Rzqx+P3UOAqoGNCR3ok9Wi1g4gcDvkd1/xJHTVvUj/Nm9QPDd7/sP6lTkxMRKfT1WhdKioqqtEKdaDPP/+cG264gS+++IJhw4Y1ZphCtChuv5t1xevYVr6N5Ki6v1Bo6Qrthby79F0A7jruLqKMUaF5SR99hSmvAG+7ZIquuzRcIbYYbr+bAkcB2XHZ5CbnStIkhBBC1CKsiZPRaGTAgAE1+lbOnj2bE044oc7lpk6dyrXXXstnn33GWWed1dhhCtEiqKpKgb2ABbsWsL5kPYkRiRh1xnCH1WimLJiC2++mT0ofzux8Zmi61mYn9cX3ANh93y2olrbd3aw+Lp+LIkcRXeK7kJuci0HXtr91FEIIIeoS9q5648aNY/To0QwcOJBBgwbx1ltvsWPHDm699VYgeH9SXl4eH30UHGp46tSpXH311bz44oscf/zxodYqi8VCTEzzu4dBiKbg9DnZXLqZreVbMWgNZFgz0Gq0zW60tqNl0e5FzN4yG61Gy/jB46t17U174W305RW4umZTcpF8sXIwDq+DElcJ3RK60S2xGzqtLtwhCSGEEM1W2BOnSy+9lJKSEp544gny8/PJzc1lxowZZGZmApCfn1/tmU5vvvkmfr+fsWPHMnbsvodZXnPNNXzwwQdNHb4QYaWoCvmV+Wwo2UCZu4yUyJR9zzBqpVw+F0/NewqAC3IuoFtCt9A8y5qNJL87DYBdj90D+rD/imu27F475e5yeiT1oEtCF7Sa5nwXmBBCCBF+zeKqYsyYMYwZM6bWeQcmQ3PmzGn8gIRoAexeOxtLNrKjYgdmvZkO1g4NGlSlpXtt0Wvssu0iJTKF24+9fd8MRaHDhEloAgHKzjoN28mDwhdkM2fz2LB5bPRM6kmn+E5t4nMjhBBCHKlmkTgJIQ5NqauUlYUrKXOXkRyR3GZu5l+av5Rpq4ItSg8NeajagBAJX/5A1KIVBCIs7Jw4rq5VtHllrjJcfhe9knvRMa6jJE1CCCFEA0niJEQLU2gvZGXhStwBN+2j27eZC1+3380Tvz+Biso5Xc/hhIx9A8joSstp/+SLAOz+1y340g4+KmdbpKoqhY5C9Fo9fdv1JSMmI9whCSGEEC2KJE5CtCC7bLtYVbQKVVVJjUoNdzhN6tWFr7LTtpOUyBTGDareopT+f6+iL6vAldOJohsuC1OEzZdf8ZNfmU+sOZbclFwSIxLDHZIQQgjR4kjiJEQLoKoqW8q2sGbPGix6C3ERceEOqUnt30XvwSEPVuuiF7l4JYmffQvA9kkTwCC/1vbn8XsocBSQFp1Gz6SeRJuiwx2SEEII0SLJFYYQzVxACbCxdCPr9qwj1hzb5i58D+yiNzhj8L6Zfj8dHvw/NKpK8cWjcBzbN2xxNkd2r51SVymd4jqRk5jTZu6FE0IIIRqDJE5CNGPegJd1xevYVLqJpIgkIgwR4Q6pyVV10UuOTOae4++pNi/po6+IWLUef0w0eQ/fGaYIm6cSZwmegIfc5Fyy47LlGU1CCCHEEZLESYhmqsRZwqbSTeRV5tEusl2bbC1YVrCs2ih6+7e26QuLSX/2dQDyHhiLPzE+LDE2N6qqkm/Px6Q30T+1P2nRaW1mABEhhBCiMUniJEQz4/Q52Vq2lW3l21BUhfTodPTatnequv1uHp/7OCoqZ3c9u3oXPaD9k1PQVTpw9O1B8ZXnhynK5sWv+NlduZt4Szy5ybkkRCSEOyQhhBCi1Wh7V2NCNFN+xU+eLY9NpZuo8FS02a55VV5a8FKoi96446uPohc97x8Spv8PVaNhx6QJoJNuaFWDQKRHp9MzuWe1ATSEEEIIceQkcRIizFRVpdhZzOayzeRX5hNljKKDtUOb7l7185af+WLNF0DNLnpam53Mfz0BwJ6rL8LZu3tYYmxOqgaByI7Lpnti9zbZrVMIIYRobJI4CRFGvoCPDSUb2Fq2FRWVtOi0Ntktb387Knbw5O9PAnB176trdNHr8Mh/MOUV4OmQTt6Dt4cjxGalzFWG0++kR1IPOsd3lkEghBBCiEbStq/QhAgjt9/N6qLVbK/Y3ua75VVx+9088PMDOHwO+rXrx5hjxlSbH/vjLyR89SOqVsvWlx5HiYoMU6Thp6oqhY5CdFod/dr1o721fZtupRRCCCEamyROQoSBw+tgZdFKdlfuJi0qDYPOEO6QmoXn/3qeDaUbiDPH8fSpT1drfdMXFpN5/zMAFIy5BscxfcMUZfh5A14K7YXEmGPITc4lKTIp3CEJIYQQrZ4kTkI0sQp3BSsLV1LsKm6zI+bV5seNPzJ93XQ0aHjylCdJjkzeN1NVybr3CfRlFTh7diX/XzeHL9AwK3WV4vA5yIjJoGtC1zb3QGQhhBAiXOSKTYgmVOIsYWXhSiq8FaRHp6PVaMMdUrOwpWwLk+ZPAuDG/jdyfPvjq81P/PhrYn79E8VkZOvLT6Ia214LncfvochZRJQhiv6p/UmPTpf7mYQQQogmJImTEE2kwF7AysKVePwe0qPS5X6UvVw+F/f/fD9uv5tj04/lxn43Vptv2rKD9k9MASBvwu24u3UKQ5Tho6oqpa5SXH4XmTGZdI7vLK1MQgghRBhI4iREI1NVlV22XawqWoUGDanRqeEOqdlQVZVJ8yextXwriRGJPHXKU9VbUfx+su58FJ3LjW3wMRTdcFn4gg0Dj99DoaMQq8nKgLQBpEWnSSulEEIIESaSOAnRiBRVYUvpFtYWr8WitxBniQt3SM3K9HXTmbFpBjqNjmdOfYZ4S3y1+e1e/oCopavwW6PY9sJjoG07SUO5uxy7107HuI50ie9CpLHtjiAohBBCNAeSOAnRSLwBL+uK17GldAtxljiijFHhDqlZWZC3gH//8W8Abht4G/1T+1ebH7F8DWkvvA3Azqfvx5fersljDIeAEqDQUYhRb6RfanCYcWllEkIIIcJPEichGoHD62DNnjXstO0kJTIFs94c7pCalU2lmxg/ezwBNcAZnc7g6j5XV5uvKy0n+5YH0AQClJ59OqXnnxGmSJuW2++m0FFIu6h25CTm1GiBE0IIIUT4SOIkxFFW5ipjVdEqip0y3HhtihxF3PW/u3D4HPRP7c+jJz1avUXF7yf7tgcx7dyNO6s9O/5vArSBgTTKXGU4fA66xHeha0JXTHpTuEMSQgghxH7kik6Io6jAXsCqwlW4/C7pYlULh9fB3f+7m0JHIVmxWTx3+nMYdcZqZdKfeQXr/H8IRFjY/O5zBGKtYYq26eyu3I3FZKF/an/aW9vLiItCCCFEMySJkxBHQUAJsNO2k9VFq9FpdKRFp4U7pGbHr/iZ8MsENpRuIN4Sz4sjXsRqqp4UxX37P9q9+QkA2154DHdO53CE2mTcfjcAiRGJ9GzXk1hzbHgDEkIIIUSdJHES4gj4FT9FjiK2lW+jyFGE1WglxhwT7rCaHVVV+fcf/+bPXX9i1pt5YcQLpFvTq5WxrFpP1r+eBCD/9mspHzUsHKE2mQp3BZWuSgD6tutLpFlGzRNCCCGaM0mchDgMvoCPQkch28q2Uewqxqg1khqVKvcz1eGD5R8wfd10tBotT5/6ND2Telabrystp9ON96F1e6g45QR2j78tTJE2PlVVKXQUotVo6Znck9WbVtforiiEEEKI5keu8oQ4BN6Al0J7IVvLt1LqLMWsN0vCVI+fNv3EqwtfBeBfg/7FSZknVS9wwGAQW195CnS6WtbU8vkVP7srdxNnjqNHcg/ijHGsZnW4wxJCCCFEA8jVnhAN4PA6KHIUsaNiByWuEiINkaRFp6HTts4L/KNl9ubZTJwzEYAre13JpT0vrVGmrQwG4fK5KHIWkWHNoHtSd6KMUfh8vnCHJYQQQogGksRJiDqoqkqZu4z8ynzyKvOwe+1EGaJoH91eEqYGmLl5Jo/+9igBNcDIziO567i7apSJ/+anNjEYRLm7HLvXTreEbnRN6IpBZwh3SEIIIYQ4RJI4CXEAX8DHHucedtl2UWQvIqAGiDHF0MHaQYaJbqD/bfofj855FEVVOLvr2Tw85OEaQ7NHz/2bzHGPA5B/+3WtdjCIIkcRGo2Gfqn9yLBmyGdICCGEaKEkcRJtnqqqOH1OKr2VlLvLKagsoNxTjkFrIN4SLw8iPUQzNs5g4tyJKKrCOV3P4eGhNZOmyEUr6HTDvWh9fkrPOZ3d428NU7SNR1VV8u35RBgi6JXSi+TI5HCHJIQQQogjIImTaJPcfjc2jw2b20aRs4hKTyUunwuNRhO8fylK7l86HD9s+IHH5z6Oisr5Oecz4cQJNZImy5qNdL76LnQuNxWnnMC2F59odYNBBJRAcBAISxy9U3oTZ4kLd0hCCCGEOEKSOIk2QVVVHD4HZa4yihxFlLhKcPlcqKqKxWAh0hBJgiVBulEdge83fM8Tc59AReWCnAt44MQHaiRNxm276HLl7egrKrEP7M2Wt/6Namxd9/v4Aj5223eTFp1GbnIuUcaocIckhBBCiKNAEifRaimqQqUn2P0u355Pubscl8+FUWckyhhFnDmuxoW9ODzfrvuWp+c9jYrKRd0vYvzg8TWOraFgD10vH4uhqARn9y5s+nAKSoQlTBE3DrffTaGjkI6xHeme1B2z3hzukIQQQghxlEjiJFoVVVWxeWyUukrZXbmbcnc5noAHi95CtDGapIikcIfYqqiqypuL3+Sdpe8AcEmPS7jvhPtqtNzpyirocuXtmHbk4c5qz8bPXm51w47bvXZKXaV0je9Kt8RuMnKeEEII0cpI4iRaBYfXQamrlLzKPEpdpbj9biINkcSaY+Vb/0bi8Xt4/PfHmbV5FgDX9rmWsceMrZE0aR1OOl99N5Z1m/GmJLJx6qv4kxPDEXKjKXeX4/A5yE3OpVN8J2nJFEIIIVohSZxEi+XxeyhxlVBoL6TIWYTD68CsMxNjjiElMiXc4bVqJc4S7p19LyuLVqLT6HhwyIOc2+3cGuW0dgedrvsXUUtW4o+NYePUV/F2SA9DxI2n0F6IRqOhb7u+Mty4EEII0YpJ4iRanEpPJYX2QrZXbKfSU4lOqyPGFEOCVQZ3aAqbSjdxz8x7yLfnYzVZeXbYswxMG1ijnK60nC5X3Unk8jUEIiPY+PGLuLt1CkPEjUNRFXbbdxNliJLhxoUQQog2QBIn0SKoqkqZu4w8Wx67K3fj8DmIMcWQbk2XblFN6K+df/HALw/g8DnIsGYwZcQUMmMza5Qz5BXQ9fKxmDdvxx8Xw8ZPXsLZt2cYIm4cfsVPXmUeyRHJ5KbkEmuODXdIQgghhGhkkjiJZs2v+Cl2FrOzYieF9kICaoBYcyyJEa3rHpnmTlVVvlzzJc//9TwBNUD/dv159vRna00YzBu30uXy2zHmF+JNS2HD1FfxdM5q8pgbS9XIeRnWDHom9yTCEBHukIQQQgjRBCRxEs2OX/FT7i6nxFlCgb2AMlcZeq2eeEs8Jr0p3OG1OZWeSp6e9zQ/b/0ZgFFdRvHgkAcx6ow1ykYsW02Xq+5EX1aBq3MWGz97BV96u6YOudHYvXbKXGV0ie9Ct8RutR4DIYQQQrROkjiJZsEb8FLuLqfYUUyBo4BKbyWqohJljCI1OhW9Vj6q4bC8cDkP//ow+fZ8dBodY48Zy+jeo2u9lyz69wV0uuFedE4Xjr492PjxSwTiY5s+6EagqiolrhK8AS89k3vKyHlCCCFEGyRXoyIsVFXF4XNg89gocZZQ5CjC7rUDEGWMol1kO0mWwiigBHh/2fu8veRtAmqA9Oh0nj71aXKTc2stH/v9z3S842G0Pj+2Icey+Z3/oERFNnHUjcMX8FFgLyDaFE2vlF6kRqXKICRCCCFEGyRXpqLJePwebB4bFe4KipxF2Dw2XD4XWo2WaGM0qVGp6LS6cIfZ5hXaC3lkziMsyV8CwJmdz+T+wfcTZYyqWTgQIO25N0l96T0Ays46ja0vP4lqah1d2Co9lZS5y2hvbU9OYg7RpuhwhySEEEKIMJHESTQKv+LH6XOGXqWuUspdwYeEqqhY9BaijdEkWhLl2/tmZM62OTz5+5NUeCqIMERw/+D7OavLWbWW1ZWWkz32Iay/LwCg8MbL2fXo3aBr+cmvoioUOYrQaDT0Su5FVlyWtIAKIYQQbZxcCYgj5vQ6CfgDuP1unF4nZe4ybB4bbr8bX8AHGjBoDUQaIqVVqZkqchQx+a/JoQEgeiT24OlTnyYjJqPW8hHL15B903hMeQUELGa2P/cwZeed0ZQhNxq3302Ro4jEiERyEnNIikwKd0hCCCGEaAYkcRIHpaoq3oAXT8CDx+8J/W/32qlwVgDwx84/8Gv8BJQAWo0Wo86IWW8m3hIvo441c37Fz1drvuL1Ra/j8DnQaXRc1fsqbh1wKwadodZlEj77lg4P/Rut14c7K4PN7/wHd/fOTRx54yhzleHwOciOy6ZrQlcsBku4QxJCCCFEMyGJkwCCCZLb78bhc+DyuXD5XFR6K7F77XgDXrwBL37Fj6qqoRYkvRr8+ESbojEZTNKS1MKs3rOaSfMnsa54HQC9knsx4cQJdE3oWmt5jdtDh4efJXHqdwCUDx/K1hefQLHWcu9TCxNQAhQ4CjDrzfRL7Ud7a3sZNU8IIYQQ1Uji1Eb5Aj4cPgcOr4NKbyXFjmIcfgdunxtFVdBqtBi0Bow6I0adkShjFAatodr9SEpAYTe7MevNaLVykdlSVHoqeW3Ra3y15itUVKKN0dxx7B2cl3NencmCed0mOt71GBGr1qNqNOwefxsFt18LraDeXT4XRc4iUqNS6Z7UvdaH+gohhBBCSOLUBgSUAA6fA6fPicProNRVGhrRzqf40Gq1mHVmLHoL8eZ4+aa9lfIFfHy3/jveXvI2Ja4SAEZ2Hsndx99NvCW+joX8tHv1A1KnvIPW58cfF8OWV5+m8qTjmzDyxlPsLMYT8JCTkEPnhM7StVQIIYQQdZLEqZUJKIFqo9mVucoo95Tj9rvx+r0AmPQmzHoziRGJdd7HIlqPgBrgp00/8dbSt8irzAMgMyaTCSdOYGDawDqXs6zeQNa4x4lYtR6A8mFD2PF/E/ClJjdJ3I3Jr/gpsBcQZYwiNzmXtOg0Gd1RCCGEEAcliVMLduCQ32WuMio8FcEkKRBMkgxaAxa9hVhTLKZIU5gjFk1JVVXmbJ/DK+tfYYd7BwAJlgRu6HcD5+ecX2fSrPH6aPfye6S+9B4afwB/rJWdT9xL6QVnQitILmweW7VnM1lN1nCHJIQQQogWQBKnFkBVVTwBDy6fa99zkdyl2D32fUN+Q2g0u1hTLEadUb5Bb6NUVeWf3f/w6sJXWbNnDQBWo5Wr+1zNpT0vPehIcZaV68i653Ei1m4EoOyMk9kx6QH8yYlNEntjcvqcFDuLiTBGBJ/NFJslLa5CCCGEaDBJnJqZgBLA5XeFkqRKbyXlrnKcficevwe/4ker0WLSmTDpTTLktwjxK35+3vIzn638jDXFwYTJorcwKmEUtw67lZiImDqX1RcVk/bcmyRO/Q6NouCPi2HH0+MpO2d4i29l8vg97HHuwaAz0Dm+M1mxWUSbosMdlhBCCCFaGEmcmoFCeyE2j41ydzmV3ko8fg/egBdFVdBpdJj1Zsx6MzGmGPRaqTJRXaWnkunrpvP56s8pdBQCYNKZOD/nfK7pfQ2etZ46EwWNy03Km5/Q7rWP0DmcAJSefTo7n7oPf2IdA0a0EH7Fzx7HHhQUMqwZZMVl1T0IhhBCCCFEPeQqPMwCSoC1xWspcZUQoY/ApDNhNVkx6UzS1U4c1C7bLqatmsZ367/D5XcBEG+J55Iel3Bh9wuJs8SFhoyvQVGI/2oG6f9+DWNBEQCOvj3Y9eg92I/r15S7cdQpqkKpqxSX30W7qHZkx2WTFJEk55MQQgghjogkTs1AQAkQb46Xm9RFvTx+D79v/53vN3zP33l/o6gKAJ3iOnFlrysZ0WkEJv3BBwGJnr+Q9k+8QMTqDcF1tk8lb8LYYLe8Fv5cpkpPJaXuUhIsCfRM7klqVKo8mFkIIYQQR4UkTkI0c6qqsqZ4DT9s+IGZm2di89hC807IOIErcq/guPTjDt6ioijE/PoH7V79gKiFywHwW6MouPN6iq67FNXcskdcrLqPyaw3k5ucS2ZMZr0JpBBCCCHEoZDESYhmqshRxKzNs/jvhv+ypWxLaHpKZAqjuo5iVJdRZMRkHHQdGp+f9r/9Rvfx3xOxIbgOxWig+Mrz2T3uZgLxsY25C40uoAQodhbjV/10iOlAdlw2Mea6B8EQQgghhDhckjgJ0YzsrNjJb9t+47dtv7GyaGVoukln4pSsUzi729kMTB1Yb/czrdNFwtTvSHnzE0x5BQAEoiLZc/WFFN54Bf6Ulj28uKqqVHgqsHlsJEUk0TmhMymRKXIfkxBCCCEajSROQoSRqqpsLtvMr1t/5bdtv7GxdGNongYNvVN6c1aXszg9+/QGDaFt3riVhKnfkfjF9+jLKgBwx8ay55YrKbnmIgIxLXsYbkVVqHBXYPPaiDHF0CelD+1j2suQ/EIIIYRodJI4CdHEKtwVLNy9kL93/c2CvAXk2/ND83QaHQPSBnBq1qmcnHUyiRH1twxpnS7ivv+ZxKnfhu5fAnBntafg5qtY2bk/7Y7PQqtruQM/KKpCmasMu89OrDmWvil9SbOmYdabwx2aEEIIIdoISZyEaGS+gI9VRav4O+9v/t71N2v2rEFFDc036owcl34cp3U8jSEdhjTsHh1VJWLFWhI/+5b4b2eiszuCk3U6KoadSPFl51Jx2mAUNChLahmOvIUIKAHK3GU4fA7izfH0T+xPalSqDPwghBBCiCYniZMQR1mlp5IVRStYXrCcZYXLWF20Gk/AU61Mdlw2x6Ufx/Htj6d/u/5YDJb6V6yqRCxfQ9yMX4n98VfM23aGZrmz2lN8+XmUXDyq+v1LAeVo7VaTUVUVh89BhbsCBYU4cxzdk7rTLqqddMkTQgghRNhI4iTEEQgoAbZXbGdt8VpWFq5keeFyNpVuqtaiBBBnjuPY9GM5vv3xHJd+HMmRyQ3bgKIQuXgFcT/+SuxPv2Hata9bn2I2UTbyVIovPxf7oAHQwgdGcPvdlLvL8Qa8RBgj6BDbgZTIFBIiEiRhEkIIIUTYSeIkRAP5FT/byrexrngda4vXsrZ4LRtKNuD2u2uUzbBm0LddX/qk9KFvu75kxmQ2eMQ3XWk51vkLsf7+N9Zf/8BYWByaF4iwUHHqYMrPOi3YFS8y4qjtXzh4/B4qvZU4fU7MejNJkUmkRqWSEJFAhKFl75sQQgghWhdJnIQ4gKIq7K7czZayLWwu2xz8v3Qz2yq24Q14a5S36C10S+hGj6QeoWQpISKhwdvTeLxELlqB9fcFWH//m4iV69Co+1qsAtGRlJ8+lLKzTsN20vGolpY9IILb76bSU4nT78SkMxFrjqVrQlcSIhKINkbLkOJCCCGEaJYkcRJtls1jY0fFDnZU7GCnbWfw/4qdbCnfUmsrEkCkIZJuCd3IScyhe1J3chJy6BDTod7nKu1PV1FJ5JKVRC5aQdTiFUQuWoHOVX17rpxO2IYch+2k46k8YSCqqWV3VatKllx+F0adkThLHDnROcSaY7GarGg1LXfEPyGEEEK0DZI4iVbL4/dQYC8g357P7srdof93V+5mR8UOKjwVdS5r0BrIis2iU1wnOsV3Ijsum05xnUiLTju0i3yfH/PmbUQuW03UohVELl6JZcOWmsWSErANORbb0OOoHHIcvnZJh7PLzYY34MXpc2L32lFUBbPeTKw5lpzoHOLMcVhNVmlZEkIIIUSLIomTaJHcfjfFzmIKHYXsceyh0FFIkaMo9Cp0FFLsLK53PYkRiXSI6UAHawcyYjLoYO1Ax7iOtLe2R689tNNDa7MTsXYjltXriVi9AcvqDVg2bEHrqdm9z52VgWNgb+wDe2M/pg/ubp1a9OAOfsWP0+fE4XXgU3wYdUYiDBF0iu8USpSijFGSLAkhhBCixZLESTQLiqpQ6amkzF1Gubuccnc5Ze4ySl2llLpKKXGWUOIqCf3v8DkatF6L3kJqdCppUWnB/6PTSI1KJSMmgwxrxqEPQKCqGAr2YN68HfOmbZi2BP83b95ebcS7/QWiInHmdsMxoBf2gb1xDOiNPyHu0LbbjKiqiifgweVz4fQ5CagBDFoDFoOF9jHtSbAkEG2KJtoYfUhdGIUQQgghmjNJnMRRVTVKmt1rp9JTSaV378tTSYWnApvHhs1jC/7s3vdzubucgBo4pG2Z9WaSI5JJjqz9lRadRowp5pBbOTQuN6aduzHu3B38f8fu0Hvzlh3oHM669z+9Ha4eXXD27IarZ1ecPbvizUgDbcu9h8cX8OH2u3H5XXgDXlRUTDoTEYYIsqOziTXHEmWMItIQiUFnCHe4QgghhBCNQhKnMFIU2LAB1m2F6Cjong3ao9CTSVFh506w2yEqCjIyal9vVcuB2+/G5XPh9rtx+Fxs3+2k3O4CgxOL1YnL78TucbFqvZMyhwO92UlMkp1yhwOXuxzneh8e1YHda8en1OyWdigiDZHEWeKIM8cRa44l1hyHwZ9AhJpAijWRrhkJJFgScBUnsGtbBBqNhs6doH0G7NoJmzaDHzBmweqNUFISPM7Z2RATrZAZaaNkZQllK/YQUVyEur0Ia8Ue2nmKyFCLMBbuwVBcetAYVZ2OiuR0CpIy2ZOchS0jk7L0LKyDO5LaK6bOOjywXtLTIS9v3/u0VPhnIaxfD4UFkJwCOTlw3HHB5Rf+A3uKIeAHiwXKyyExEbI7Bedv2QKoYImAGGtwnSjBk3znTkjP2Lc9iwXy86sfn6goBZ/ipcLhQ292kZDsQasN3u9l1ptJiEgg3hxPlCmKKGMUEYaIZjOog6LApk1QUQExMdC5c4vOVUUY1PYZEkIIIfYniVOYLF0KH34Iq9eq5Fu8GE0BMjMCnDLMS2aWD1/Ah1fxBv8PeOt8eQIePH5P6OfCYi+bt7uxObz4cYPeg8HiJjrWA3o3br871M3K7XfXeFBrvTSAB9h1kDKqBr0ShUGJRuOPQuuLwqBGE2uJoUd2DB1TY7CarFhN1tCoalWJ0v4tFuvWww8/wLat4PHCJiOsigFbJWzdrILdSVzARjttBYlUYPVWEO2pIMZbQYG/gmSljB6BUlKUUpKUMpICZehQGrSbNm0kW/XpbNGmsU2XynZ9Orsj0iiIzWCbsT1lTgOuUlBKgLVgMkLsj9CnD4y+GnK6VV/fgfvi84HXA0YTGAxQaYOCQnA5IbBfw5tOB7GxYDCCvRJcLggogAoaLei0wQShKkkIKMEqMpqCMUVHwpQJ8MwzYLMHMFh82O1+ikr9+BQvKj40WgWNFswmDWajkdhoI/FR8eRkxnPlxVEc1y+CCENEs21NqjqX1q4FtxvMZujeHa65Bvr1C3d0oiWo6zM0enS4IxNCCNGcNIvE6bXXXuM///kP+fn59OzZkylTpjBkyJA6y8+dO5dx48axevVq0tLSGD9+PLfeemsTRnxkli6FJ56A4mL455QUvLpgC8dS4NsFwIIj3IBx72s/xfaDL2LQGFH9FjR+M0aNBQMRaAIROMsteBwR4ItAp1jAH0nAFQmeKIwaCw9c6+GNTzOwFUcTYYike3Y0fncEa1cHr+R79ISUZHA5VWwFHnTr3Jx6sZuuqS60djfaPW60zmK09h3oHA60Dhc6u4PyHU4iFju50uEgQWcn2m/H6LRjdNixKnasigM9h9a1r0qJJobdukTydMnkaZPYpUshT5cUfK9LotDcDpvBisujQVWCCQoEW+0C5cGfdbq9CcxeHi9U2OCvv4L1es+4fcnTuvXwztvBFqLkZPB4YM1acNghMgoS4mHbdvD7asYaCARbhULb3G+XVQX8igLaAGj9oAugM/hRNX68agBXwA8aBdCwsyIPW6UOfbket0tPwGdA9SSCPxKDGoHPbcIeMILZhNdqIq6bgS0L4fWtkPRo801A9j+X2reHyEhwOGDxYti+HR5txrGL5uFgn6Hdu+HKK8MdoRBCiOYi7InT559/zt13381rr73G4MGDefPNNznzzDNZs2YNHTp0qFF+69atjBw5kptuuolPPvmEP/74gzFjxpCUlMSFF14Yhj04NIoS/GazuDj4jebiAzIcjaJHpzEQYTZi1Bkwao0YdAZMWiMmrQGL1oRJo8esMWDSGIjQGIM/Y2DdCgOOYgMJUQYMqg5jwIBR0aNXDNiL9LRP1jPyVD0WVYsZPSZVi0nRYVDgf99D0U4/7RL86FU/+oAPnd/H5rV+dH4fZq2PCJ0Pna8So1KCCR8WjYchThsnrtFh1vjQ+7xErvJiVtwYfB7MqhfLZg8WPJj8nn07+U39xykd6NmA4+nWGCnRxFCqtVKijaFUG0OJNoYyrZVCTTyFunhKDPEUauLJJ55ibSx+zd6PvSY4kJ0azC2CVMAPur0NcXpDcFpAqZ60BAJ7W3p0wfn+QLAVyWyG7TuCrUtduwbL/vBDMGnK6hh8v3kzKAFISoKKSpVNW5VgAqQLBBMd7d6fVQU0VdMCBLQB0OzXQqju3YmAHlQ9KDpQ9Wj8FvCYUAIWtAEjsBr/tmNIj4lg2xYDis+IXmsg4A/udADQAqoKvgB4DMEufccfD+vWwUcfBVvSmlvXtwPPpapb2azW4Pu1a5tv7KJ5qO8ztHnzvnJCCCFE2BOnyZMnc8MNN3DjjTcCMGXKFGbOnMnrr7/OpEmTapR/44036NChA1OmTAGge/fuLFq0iOeee67OxMnj8eDx7Ltwt9lsAPh8Pny+Wr7mb0SbNgVfWVnBLlobX4kmyu1Eo6poVdAoChpVwahzo8UFgQAaRUVztP5yf1L75G61T67f35B2iIt4dCaINKGJNBOIsKBYzAQiI1AiIwhERmAjgoXrLAQiI1EiLThM0ZQqUazcGUWRLwq7IYoKTRRqbBQFNjO+gAaNJngPkaoAWnVvUrH3/6osSFExoGDQeIPztHvLaNTgwrA3gQr+rNWpaLTBnxVFRVX2lkUFDWh1SnC+RkVVQEHBFBOcv26HwqJ1wWW3FKrEZ4LXGOxq59JDVKoGvU7FbNDg0YFB0YGiBbTBBAgtKHpQLBAwBhcOGEExoCGYJKmKbm+Zva+AHg16tJrg8VBV0Gl9wGrMShwBhwGzFjCBRuNHaw6W8ftBv/c3gaJARESwu5LLFfycbtwYvO+qud3zceC5dKDmHHuVqt8/Tf17SATV9xnq0CFYLxs3+uh22L8kRWOSc6h5k/pp3qR+9mnoMdCoqnqIN7kcPV6vl4iICL788kvOP//80PS77rqLZcuWMXfu3BrLDB06lH79+vHiiy+Gpk2fPp1LLrkEp9OJoZa/fhMnTuTxxx+vMf2zzz4jIuIQh6M+ykZccw3mirofxHooFK0WVadD1WqDL50u9F6p+vmA94peH/x///d6PcoBL1WvR9HpUAyG0CtgMATnG4373huNBPa+Qj8bDCgmE36TiYDRGOxzJoQQQgghRDPgdDq54oorqKiowGq11lkurC1OxcXFBAIBUlJSqk1PSUmhoKCg1mUKCgpqLe/3+ykuLiY1NbXGMhMmTGDcuHGh9zabjYyMDIYPH37Qg9MYNm2C++6DuLhgd5AVZ87FxR4UrYKi0eJwabE5tNw2Vkt6B22w74hWh6rTBhMOrTb4s3bvz3od6HRs26nlmWeCo6lFRgW3pQn1PwuOpFZRAQ89FPx2dX/btsHTTwdHkoqK2jd9yxYNixcHuzlpNGA0gtcbbJTRaMBgCPDulFXc80gvLBE6/AFw7n28UkQkoILPq6FvP7BG743DEYzjkYc1dOxYPY6qeLdsg6eeqB5PpU3Dgn+C9wVpdRpQg/PLSjV4fcF4FEWDqoJGE/wfAFUTGo5cVTShaaDZ2y1HA6pm77zq83U6zd4R8jQE/BqUgCZUHjTo9fu6gClK8JWUFHzfsSO8+mrw5/3ru6ICFiwIHkuDIfi+qGjvZvf7CkOrDb6v7WuN/bdZ2zxNVRdEFaKifLzxxmzGjDkdo9HAnj17j7Vm3zYObHFKTg5+1I47LliurAz+85/m12pz4Ll0IJut+cZexefzMXv2bE4//fRav/QRjau+z5DT6eO882bTqdPpdOsm9dMcyTnUvEn9NG9SP/tU9UarT9i76gE1nrOjqupBn71TW/naplcxmUyYTKYa0w0GQ5N/ULp1C17ELV4c7EO/y9onNE9VYe12GDgQjj/r0O7LyEqE/2bsW+/+h0JVYcum4HpP6ldzvZlx8F2H4LIJ+y3bLRUWloPLE7zI10eCd++ob8FEygeswl+eQcBrwFYRHB4bYM/O4P/JyZBoAo0vGEfh3jhO7Fv3/qXFQI/M6vsSb4ZYA5SWBZO36GgwRoLqBHdl8IK/Ku5g8rRvmsEQ/Nnvr76dqgTjwGUhmEh4lOD/qhrc5wMTFV0wZw0lHwYDOJ3BZXr3JtS1Z//6jogI3gdVXBxM/Jx7j6fXWzNxqi0xOrBeD1T1cfb7g+uoSjw9HgNRUQY8nuB69frqx8PjCa7PaAzGlJQUHLJ83bpgfXXr1vzuEzrwXDrw2Gzb1nxjP1A4fheJ+j9DO3YEf+7SReqnuZNzqHmT+mnepH5o8P6H9XIiMTERnU5Xo3WpqKioRqtSlXbt2tVaXq/Xk5CQ0GixHi1abXCY5MTE4M3rNlvwAtZmC75PTISrrz70C70jWW9dyzockJISnF91cW8w7EsUqi4yjMbg6FM6HXTqFHw+kc8XfKWlBZc9lP2rLZ5AILhevX5fa4rHE0xEquLQaoPJSFUytP/6qpKM/YfuVtWayYlGE0wYLJbge69336AQ+v2+ZtDrg8v6fPuOhdEY/Llr12D8Vdvaf18qK4PHSKcLHjODAXr2rHl/RW1JU1USV19L1P77WiUyMvjcpujo4HoCgepJYtXPRiOYTMFjvW7d4X8em0JjnUui7ajvM1T1J0U+Q0IIISDMLU5Go5EBAwYwe/bsavc4zZ49m3PPPbfWZQYNGsT3339fbdqsWbMYOHBgi8mW+/ULDpNc9dyQ3buDrRADBwYv9A53+OQjWW9dy15wQfBCYtq0YLcyRQleRJhM+7r8pacHL8jN5mDXKLMZzjgjeDFeUhLsDnOo+1dXPKNGQWkprFkT3BYEL3qquhFWPYOl6h6/qtYisxlSU4Ox22zBUe7c7mAZjSaYyMTFwaWXBmP+44/gcm733kEWdMHkIzY2+L6iIphYViU4ZjPEx8OJJ8K991bfxwP3xe0OPpS4KlajMfjNd9XDcfdvCdLrg60/RmMwZodjX9Kj1e5r9Qo9x2lva2B0dLCOqrofZWUF4zObg+vZtSt4vBQluC6TKbh/kZHB46mqR/55bAqNdS6JtuNgn6GrrgqeK0IIIQQ0g65648aNY/To0QwcOJBBgwbx1ltvsWPHjtBzmSZMmEBeXh4fffQRALfeeiuvvPIK48aN46abbuKvv/7i3XffZerUqeHcjUPWr19wmOQDn1R/pN9sHsl6D7bs88/Dxx8Hu6506BB8tsnWrbBhA7zxBnTpAlu2VF8Ojmz/6ooHgttdtSr4c25ucPqmTfum5eQEE5GCgmBy0KNH8Nvj7Ox95Xy+4HDDXi9kZgYfdmk0BstXrb+qtUyvD7aenXZacP2//BK8wPL7g8mJTheMo2vX2vextn3Jzq5+zLKygutdujQYe/v20L8/nH56zW1GRga7+6WmBlusIJhMBu9rCiZJMTHB+DdtqllHkZHB5xztf3zi4oLrqaw8ep/HptBY55JoO+r6DAUCkjgJIYTYJ+yJ06WXXkpJSQlPPPEE+fn55ObmMmPGDDIzMwHIz89nR1VHc6Bjx47MmDGDe+65h1dffZW0tDReeumlFvEMpwNptfue9dNc1lvXskYj3HBD9WmdOwcTjM6dg4lFbcsd6f7VFU9OTvB1sGm5ubWvs7ZlD9xmfWVGjKh73sHWe+C+HPj+zDODr8PZZo8eNaf5fMGLwdrqqLbyLVVjnUui7ajtM7T/s9uEEEKIsCdOAGPGjGHMmDG1zvvggw9qTDvppJNYsmRJI0clhBBCCCGEEEHSmUUIIYQQQggh6iGJkxBCCCGEEELUQxInIYQQQgghhKiHJE5CCCGEEEIIUQ9JnIQQQgghhBCiHpI4CSGEEEIIIUQ9JHESQgghhBBCiHpI4iSEEEIIIYQQ9ZDESQghhBBCCCHqIYmTEEIIIYQQQtRDEichhBBCCCGEqIckTkIIIYQQQghRD324AwgHVVUBsNlsYY6kZfP5fDidTmw2GwaDIdzhiFpIHTVvUj/Nm9RP8yd11LxJ/TRvUj/7VOUEVTlCXdpk4lRZWQlARkZGmCMRQgghhBBCNAeVlZXExMTUOV+j1pdatUKKorB7926io6PRaDThDqfFstlsZGRksHPnTqxWa7jDEbWQOmrepH6aN6mf5k/qqHmT+mnepH72UVWVyspK0tLS0GrrvpOpTbY4abVa2rdvH+4wWg2r1drmT7jmTuqoeZP6ad6kfpo/qaPmTeqneZP6CTpYS1MVGRxCCCGEEEIIIeohiZMQQgghhBBC1EMSJ3HYTCYTjz32GCaTKdyhiDpIHTVvUj/Nm9RP8yd11LxJ/TRvUj+Hrk0ODiGEEEIIIYQQh0JanIQQQgghhBCiHpI4CSGEEEIIIUQ9JHESQgghhBBCiHpI4iSEEEIIIYQQ9ZDESQghhBBCCCHqIYmTqNPvv//O2WefTVpaGhqNhm+//bbeZebOncuAAQMwm81kZ2fzxhtvNH6gbdSh1s+cOXPQaDQ1XuvWrWuagNuYSZMmccwxxxAdHU1ycjLnnXce69evr3c5OYeaxuHUj5xDTev111+nd+/eWK1WrFYrgwYN4qeffjroMnL+NJ1DrR85f8Jr0qRJaDQa7r777oOWk3Po4CRxEnVyOBz06dOHV155pUHlt27dysiRIxkyZAhLly7lwQcf5M477+Trr79u5EjbpkOtnyrr168nPz8/9OrSpUsjRdi2zZ07l7Fjx/L3338ze/Zs/H4/w4cPx+Fw1LmMnENN53Dqp4qcQ02jffv2/N///R+LFi1i0aJFnHrqqZx77rmsXr261vJy/jStQ62fKnL+NL2FCxfy1ltv0bt374OWk3OoAVQhGgBQp0+fftAy48ePV3NycqpNu+WWW9Tjjz++ESMTqtqw+vntt99UQC0rK2uSmER1RUVFKqDOnTu3zjJyDoVPQ+pHzqHwi4uLU995551a58n5E34Hqx85f8KjsrJS7dKlizp79mz1pJNOUu+66646y8o5VD9pcRJHzV9//cXw4cOrTRsxYgSLFi3C5/OFKSpxoH79+pGamsppp53Gb7/9Fu5w2oyKigoA4uPj6ywj51D4NKR+qsg51PQCgQDTpk3D4XAwaNCgWsvI+RM+DamfKnL+NK2xY8dy1llnMWzYsHrLyjlUP324AxCtR0FBASkpKdWmpaSk4Pf7KS4uJjU1NUyRCYDU1FTeeustBgwYgMfj4eOPP+a0005jzpw5DB06NNzhtWqqqjJu3DhOPPFEcnNz6ywn51B4NLR+5BxqeitXrmTQoEG43W6ioqKYPn06PXr0qLWsnD9N71DqR86fpjdt2jSWLFnCwoULG1RezqH6SeIkjiqNRlPtvaqqtU4XTa9bt25069Yt9H7QoEHs3LmT5557Tv5oNbLbb7+dFStWMH/+/HrLyjnU9BpaP3IONb1u3bqxbNkyysvL+frrr7nmmmuYO3dunRfncv40rUOpHzl/mtbOnTu56667mDVrFmazucHLyTl0cNJVTxw17dq1o6CgoNq0oqIi9Ho9CQkJYYpKHMzxxx/Pxo0bwx1Gq3bHHXfw3//+l99++4327dsftKycQ03vUOqnNnIONS6j0Ujnzp0ZOHAgkyZNok+fPrz44ou1lpXzp+kdSv3URs6fxrN48WKKiooYMGAAer0evV7P3Llzeemll9Dr9QQCgRrLyDlUP2lxEkfNoEGD+P7776tNmzVrFgMHDsRgMIQpKnEwS5culab3RqKqKnfccQfTp09nzpw5dOzYsd5l5BxqOodTP7WRc6hpqaqKx+OpdZ6cP+F3sPqpjZw/jee0005j5cqV1aZdd9115OTkcP/996PT6WosI+dQA4RrVArR/FVWVqpLly5Vly5dqgLq5MmT1aVLl6rbt29XVVVVH3jgAXX06NGh8lu2bFEjIiLUe+65R12zZo367rvvqgaDQf3qq6/CtQut2qHWzwsvvKBOnz5d3bBhg7pq1Sr1gQceUAH166+/DtcutGq33XabGhMTo86ZM0fNz88PvZxOZ6iMnEPhczj1I+dQ05owYYL6+++/q1u3blVXrFihPvjgg6pWq1VnzZqlqqqcP+F2qPUj50/4HTiqnpxDh04SJ1GnqqFDD3xdc801qqqq6jXXXKOedNJJ1ZaZM2eO2q9fP9VoNKpZWVnq66+/3vSBtxGHWj///ve/1U6dOqlms1mNi4tTTzzxRPXHH38MT/BtQG11A6jvv/9+qIycQ+FzOPUj51DTuv7669XMzEzVaDSqSUlJ6mmnnRa6KFdVOX/C7VDrR86f8DswcZJz6NBpVHXvXV9CCCGEEEIIIWolg0MIIYQQQgghRD0kcRJCCCGEEEKIekjiJIQQQgghhBD1kMRJCCGEEEIIIeohiZMQQgghhBBC1EMSJyGEEEIIIYSohyROQgghhBBCCFEPSZyEEEIIIYQQoh6SOAkhhBBCCCFEPSRxEkIIIY5ASUkJycnJbNu27ZCWu+WWW7jiiiuOetnDcdFFFzF58uRGW78QQrQGkjgJIYRoNXbt2sVtt91G586dMZvNpKSkMHz4cFauXAmAqqrExsby8ssv11j2jjvuoH///gD07t2bxx57rNZtPPPMM8TFxbFnzx4AJk2axNlnn01WVtYhxTpp0iTefvvtQy579913c9555x3Sturz6KOP8vTTT2Oz2Y7qeoUQojWRxEkIIUSrsG3bNvr160dxcTEff/wx69at46uvvqJHjx6YTCYANm/eTEVFBQMHDqyx/KJFixgwYAAQTJyqkq39FRQUMGnSJB5//HGSkpJwuVy8++673HjjjYccb3x8PJGRkYdcduHChRx77LGHvL2D6d27N1lZWXz66adHdb1CCNGaSOIkhBBtyNSpUzGbzeTl5YWm3XjjjfTu3ZuKioqjso2TTz6ZO+64g7vvvpu4uDhSUlJ46623cDgcXHfddURHR9OpUyd++umnasv973//48QTTyQ2NpaEhARGjRrF5s2bAdizZw/t2rXjmWeeCZVfsGABRqORWbNmAfDyyy8TGRnJ559/zqBBg8jKymLIkCFMmTKFrl27ArB48WL0ej19+/attm2/38/y5ctDiVOvXr1YtWpVjX178MEHyczMZMyYMQD89NNP6PV6Bg0aFCqTnJzMO++8U225hQsXYjKZQvuzbds2NBoN27dvR1EUnnnmGbp06RJqJRs9enRo2f3LGo1G/vzzTx566CE0Gg3HHXdcvfVRWFiIRqPhxRdfpF+/fpjNZnr27Mn8+fOrlTvnnHOYOnVqvesTQoi2ShInIYRoQy677DK6devGpEmTAHj88ceZOXMmP/30EzExMdXKPvPMM0RFRR30NW/evFq38+GHH5KYmMg///zDHXfcwW233cbFF1/MCSecwJIlSxgxYgSjR4/G6XSGlnE4HIwbN46FCxfyyy+/oNVqOf/881EUhaSkJN577z0mTpzIokWLsNvtXHXVVYwZM4bhw4cDUFZWhtvtZseOHXXu/+LFi+nRowcWi6Xa9NWrV+NyuaolTps3b8blcoXKLF26lA8//JCXXnoJvV4PwO+//16j9So3N5fVq1dXmzZhwgRuvvlmOnXqBMCyZcuIjY0lMzOTSZMm8dlnn/HWW2+xfv16vvnmG04++eTQslVlMzIyQsnOsmXLyM/PZ+bMmXXu6/5xA7z22mu88MILLF++nKysLK688koURQmVO/bYY/nnn3/weDz1rlMIIdokVQghRJvy/fffqyaTSX366afVuLg4ddWqVbWWKykpUTdu3HjQl9PprLHcSSedpJ544omh936/X42MjFRHjx4dmpafn68C6l9//VVnnEVFRSqgrly5MjRtzJgxateuXdUrr7xSzc3NVV0uV2je4sWL1Q4dOqgajUYdMGCAev/996urV6+uts5TTz1Vvf7662ts65133lENBoPqdrtVVVXVHTt2qIC6ePHiUJmhQ4eqF154YbXlzj333Brru/POO9Xhw4eH3s+cOVONiopSCwsLQ9MmTpyonnTSSaqqquqQIUPU8ePH13kc9i87ffp0NSEhoc6ytfm///s/1WAwqFu2bAlNW7RokQqoO3bsCE1bvny5Cqjbtm07pPULIURbIS1OQgjRxowaNYoePXrw+OOPM336dHr27Flrufj4eDp37nzQ14EtN1V69+4d+lmn05GQkECvXr1C01JSUgAoKioKTdu8eTNXXHEF2dnZWK1WOnbsCFCtBem5557D7/fzxRdf8Omnn2I2m0Pz+vfvz5YtW/jtt98444wz+Oabb+jTpw/Tp08PlVmyZEmd9zf17NkzdC9URkYGsbGxofucvvrqKxYuXMjzzz9fbTmXy1UtBqje4qSqKg8++CD33XcfycnJoTLLli2jT58+QLCL3HPPPcfw4cN54403KC0trba+/csuXbo09HNDLVu2jAsuuCB0PIHQfu6vqi73bwUUQgixjyROQgjRxsycOZN169YRCARCCUxtjqSrnsFgqPZeo9FUm6bRaACqdRU7++yzKSkp4e2332bBggUsWLAAAK/XGyqzZcsWdu/ejaIobN++vcZ2dTodJ510Ek899RSrV68mOTmZzz77DICdO3dSXl5O9+7dayz3888/c8IJJ1SbVnWfk8fjYfz48YwfP57MzMxqZRITEykrK6uxXF5eHjabjS+++IJdu3Yxbty4amWWL18eus/q3nvvZe3atQwbNoyXX36Zzp07s3Xr1lrL7p9ENdSyZctq3NO1ZMkSEhMTSU9PD02rStiSkpIOaf1CCNFW6MMdgBBCiKazZMkSLr74Yt58802mTZvGI488wpdffllr2VtvvZVLLrnkoOvb/8L7SJSUlLB27VrefPNNhgwZAlBj8AKv18uVV17JpZdeSk5ODjfccAMrV66sM/lTFAWPxxNKBHw+H1CzRWX27Nls2rSJd999t9r0qsRp8uTJBAIB7r///hrb6NevH5988km1abm5uWg0GpYvX84jjzzCY489RlRUVGi+zWZj27Zt1RKgrl27Mn78eO666y5iYmJYs2YNHTt2rFF25cqVnH/++XUfyAO4XC42btxIIBCodlxefPFFrrnmGrTafd+frlq1ivbt25OYmNjg9QshRFsiiZMQQrQR27Zt46yzzuKBBx5g9OjR9OjRg2OOOYbFixeHBkXYX3x8PPHx8U0SW1xcHAkJCbz11lukpqayY8cOHnjggWplHnroISoqKnjppZeIiorip59+4oYbbuCHH34I7c+pp55KSkoKW7Zs4ZlnnkFV1VBrT8eOHcnJyWHChAkYjUaSkpJYsGABDz30EFdddRVDhw6ttr1evXrxxRdf8Mcff/Dee+/V2i1xxIgRTJgwgbKyMuLi4gCIiooiMzOT8ePHA3DTTTdVW2b58uXodDp69uzJs88+S0pKCscccww6nY533nmHuLi4UOvX/mUhmPSsWLGC3bt3ExkZWWNAjwOtXLkSjUbDJ598wqmnnkpsbCyPPvoo5eXlPPzww9XKzps3LzTQhhBCiJqkq54QQrQBpaWlnHnmmZxzzjk8+OCDAAwYMICzzz6bhx56KMzRgVarZdq0aSxevJjc3Fzuuece8R5GfAAAA99JREFU/vOf/4Tmz5kzhylTpvDxxx9jtVrRarV8/PHHzJ8/n9dff53+/fvzww8/MGrUKLp3786tt95KTk4Oy5cvp3PnzkCwe+CPP/5Ip06duOyyyxg6dChvvvkmTz31FB988EGNmHr16kVxcTEDBw7koosuqjXuXr16MXDgQL744osa0//++2+efvrp0Ah8VZYvX05OTg4mkwm3280zzzzDgAEDOPHEE9m4cSO//vprKAnbvyzAU089xeeff056ejpPPPFEaJ0ffPBBqPvj/pYtW0ZOTg4PP/wwF110EQMHDkSr1fLXX38RGxsbKud2u5k+fXqNJE8IIcQ+GlVV1XAHIYQQQrRUM2bM4N5772XVqlXVur41pYkTJzJnzhzmzJlTbfrYsWMpKysL3edVl1dffZXvvvsu9EwsIYQQNUlXPSGEEOIIjBw5ko0bN5KXl0dGRkZYYpg5cyYvvvhijenLli3j7LPPrnd5g8HAyy+/3BihCSFEqyEtTkIIIcLm559/ZuXKldxzzz0HnX/uueeyevXqBiUBIkhVVWJiYpg2bRojR44MdzhCCNHiSeIkhBCi2Xv11VdxOp3cd9994Q5FCCFEGyWDQwghhGhUf//9d7WWou+//57rr78egDPPPJO1a9cC8Oabb9K/f39yc3O54oorQvPnzp3Lww8/zNtvv02/fv1wuVxNvxNCCCHaPGlxEkII0ahsNhsDBw5kw4YNAAwaNIhPP/2U7OxsOnfuzLp166isrGTYsGH8888/6HQ6ysvLiY2NDc0/5ZRT+Oyzz8J2D5EQQgghLU5CCCEaldVqxePx4PP5+P777+nZsyfZ2dlUVFQQFRWFXq9Hr9dTUlLC/fffz+rVq4mNja02f9euXZI0CSGECCtJnIQQQjS6Ll26sGnTJiZNmhR68OqqVatCD3aNjo5m5cqV9OnTh4suuogffvghNH/Xrl2kp6eHM3whhBBCEichhBCNr0ePHjz33HP06tWLrKwsIJg45ebmArBx40aio6MZPXo0Q4YMwePxhOZv3bqVtLS0MEYvhBBCSOIkhBCiCXTv3p1PPvmEhx56KDRt9erVocTpySefpFu3bvTr1w+z2cz5558fmp+bm8vGjRvp1asX69atC9cuCCGEaONkcAghhBBCCCGEqIe0OAkhhBBCCCFEPSRxEkIIIYQQQoh6SOIkhBBCCCGEEPWQxEkIIYQQQggh6iGJkxBCCCGEEELUQxInIYQQQgghhKiHJE5CCCGEEEIIUQ9JnIQQQgghhBCiHpI4CSGEEEIIIUQ9JHESQgghhBBCiHpI4iSEEEIIIYQQ9fh/fH5sOXwd4J4AAAAASUVORK5CYII=", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import numpy as np\n", "import matplotlib.pyplot as plt\n", "from sklearn.linear_model import LogisticRegression\n", "from scipy import io\n", "from scipy.stats import norm\n", "\n", "# Load the data\n", "data_path = \"../data/\"\n", "suv_file = data_path + \"suv_percentilesSLOthenUWM.mat\"\n", "flags_file = data_path + \"flags_combined.mat\"\n", "\n", "# Load .mat files\n", "suv_dict = io.loadmat(suv_file)\n", "flags_dict = io.loadmat(flags_file)\n", "\n", "# Extract relevant data\n", "suv = suv_dict['lung_SUVperc_COMBINED'][0:58, :, :]\n", "flags = flags_dict['flags'][0:58, 3]\n", "\n", "# Choose percentile of interest\n", "p = 94 # For lung and bowel, use 94 (0-indexed)\n", "X = np.nanmax(suv[:, :, p], axis=1).reshape(-1, 1)\n", "\n", "# Handle missing values\n", "valid_indices = ~np.isnan(X).flatten()\n", "X = X[valid_indices]\n", "flags = flags[valid_indices]\n", "\n", "# Fit logistic regression using sklearn\n", "logr = LogisticRegression(penalty=None, solver='lbfgs')\n", "logr.fit(X, flags)\n", "\n", "# Print model coefficients\n", "print(\"Intercept (w0):\", logr.intercept_[0])\n", "print(\"Coefficient (w1):\", logr.coef_[0][0])\n", "\n", "# Design matrix with intercept\n", "X_design = np.hstack([np.ones((X.shape[0], 1)), X])\n", "\n", "# Predicted probabilities\n", "pred_probs = logr.predict_proba(X)[:, 1]\n", "\n", "# Variance matrix\n", "V = np.diagflat(pred_probs * (1 - pred_probs))\n", "\n", "# Covariance matrix of parameters\n", "cov_matrix = np.linalg.inv(X_design.T @ V @ X_design)\n", "\n", "# Standard errors\n", "std_errors = np.sqrt(np.diag(cov_matrix))\n", "print(\"Standard errors:\", std_errors)\n", "\n", "# Combine parameters\n", "params = np.array([logr.intercept_[0], logr.coef_[0][0]])\n", "\n", "# 95% CI for parameters using normal approximation\n", "z = norm.ppf(0.975) # 1.96 for 95% CI\n", "\n", "ci_intercept = (\n", " params[0] - z * std_errors[0],\n", " params[0] + z * std_errors[0]\n", ")\n", "\n", "ci_coef = (\n", " params[1] - z * std_errors[1],\n", " params[1] + z * std_errors[1]\n", ")\n", "\n", "print(f\"95% CI for Intercept (w0): {ci_intercept}\")\n", "print(f\"95% CI for Coefficient (w1): {ci_coef}\")\n", "\n", "print(\"params:\")\n", "print(params)\n", "\n", "print(\"covariance matrix:\")\n", "print(cov_matrix)\n", "\n", "# Define logistic function\n", "def logistic(x, params):\n", " return 1 / (1 + np.exp(-(params[0] + params[1] * x)))\n", "\n", "# Generate bootstrap samples\n", "n_bootstraps = 1000\n", "bootstrap_params = np.random.multivariate_normal(params, cov_matrix, size=n_bootstraps)\n", "\n", "# Generate x values for plotting\n", "x_vals = np.linspace(X.min(), X.max(), 100)\n", "\n", "# Compute predicted probabilities for each bootstrap sample\n", "predicted_probs = np.array([logistic(x_vals, bp) for bp in bootstrap_params])\n", "\n", "# Calculate mean predicted probability across samples\n", "mean_predicted_probs = predicted_probs.mean(axis=0)\n", "\n", "# Calculate 95% confidence intervals\n", "lower_bounds = np.percentile(predicted_probs, 2.5, axis=0)\n", "upper_bounds = np.percentile(predicted_probs, 97.5, axis=0)\n", "\n", "# Plotting\n", "plt.figure(figsize=(10, 6))\n", "plt.title(\"Prediction Probability of AE Depending on maxSUV Value\")\n", "plt.xlabel(r\"$x = \\max_{visit} SUV(visit, p)$\")\n", "plt.ylabel(\"P(AE | X = x)\")\n", "\n", "# Scatter data points\n", "plt.scatter(X[flags == 0], flags[flags == 0], label=\"NC\", color='blue', alpha=0.6)\n", "plt.scatter(X[flags == 1], flags[flags == 1], label=\"AE\", color='red', alpha=0.6)\n", "\n", "# Plot the mean logistic curve\n", "plt.plot(x_vals, mean_predicted_probs, color='green', label=\"mean\")\n", "plt.plot(x_vals, logistic(x_vals, params), color='red', label=\"Logistic Regression (MLE)\")\n", "\n", "# Confidence interval band\n", "plt.fill_between(x_vals, lower_bounds, upper_bounds, color='green', alpha=0.2, label=\"95% CI (Parametric Bootstrap)\")\n", "\n", "plt.legend(loc='center right')\n", "plt.grid(True)\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": null, "id": "d0807320", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "code", "execution_count": null, "id": "4039de80", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "markdown", "id": "7deeceb4", "metadata": {}, "source": [ "Here, I applied some changes to make the curve smoothed. " ] }, { "cell_type": "code", "execution_count": null, "id": "96f9e51b", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Intercept (w0): -11.683190353932442\n", "Coefficient (w1): 5.687089258005263\n", "params:\n", "[-11.68319035 5.68708926]\n", "covariance matrix:\n", "[[12.31854544 -6.71118734]\n", " [-6.71118734 3.81820749]]\n", "95% CI for Intercept (w0): (-18.562229897321522, -4.804150810543363)\n", "95% CI for Coefficient (w1): (1.8572737464039735, 9.516904769606551)\n" ] }, { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import numpy as np\n", "from scipy import io\n", "from scipy.stats import norm\n", "from sklearn.linear_model import LogisticRegression\n", "import matplotlib.pyplot as plt\n", "from scipy.ndimage import gaussian_filter\n", "from scipy.interpolate import make_interp_spline\n", "\n", "# Load the data\n", "data_path = \"../data/\"\n", "suv_file = data_path + \"suv_percentilesSLOthenUWM.mat\"\n", "flags_file = data_path + \"flags_combined.mat\"\n", "\n", "# Load .mat files\n", "suv_dict = io.loadmat(suv_file)\n", "flags_dict = io.loadmat(flags_file)\n", "\n", "# Extract relevant data\n", "suv = suv_dict['lung_SUVperc_COMBINED'][0:58, :, :]\n", "flags = flags_dict['flags'][0:58, 3]\n", "\n", "# Choose percentile of interest\n", "p = 94 # For lung and bowel, use 94 (0-indexed)\n", "X = np.nanmax(suv[:, :, p], axis=1).reshape(-1, 1)\n", "\n", "# Handle missing values\n", "valid_indices = ~np.isnan(X).flatten()\n", "X = X[valid_indices]\n", "flags = flags[valid_indices]\n", "\n", "# Fit logistic regression using sklearn\n", "logr = LogisticRegression(penalty=None, solver='lbfgs')\n", "logr.fit(X, flags)\n", "\n", "# Print model coefficients\n", "print(\"Intercept (w0):\", logr.intercept_[0])\n", "print(\"Coefficient (w1):\", logr.coef_[0][0])\n", "\n", "# Design matrix with intercept\n", "X_design = np.hstack([np.ones((X.shape[0], 1)), X])\n", "pred_probs = logr.predict_proba(X)[:, 1]\n", "\n", "# Variance matrix\n", "V = np.diagflat(pred_probs * (1 - pred_probs))\n", "cov_matrix = np.linalg.inv(X_design.T @ V @ X_design)\n", "std_errors = np.sqrt(np.diag(cov_matrix))\n", "\n", "# Combine parameters\n", "params = np.insert(logr.coef_[0], 0, logr.intercept_[0])\n", "print(\"params:\")\n", "print(params)\n", "\n", "print(\"covariance matrix:\")\n", "print(cov_matrix)\n", "\n", "# Confidence intervals for parameters\n", "z = norm.ppf(0.975)\n", "ci_intercept = (params[0] - z * std_errors[0], params[0] + z * std_errors[0])\n", "ci_coef = (params[1] - z * std_errors[1], params[1] + z * std_errors[1])\n", "print(f\"95% CI for Intercept (w0): {ci_intercept}\")\n", "print(f\"95% CI for Coefficient (w1): {ci_coef}\")\n", "\n", "# Define logistic function\n", "def logistic(x, params):\n", " return 1 / (1 + np.exp(-(params[0] + params[1] * x)))\n", "\n", "# Bootstrap\n", "n_bootstraps = 10000 # Increased number of bootstrap samples for better smoothing\n", "bootstrap_params = np.random.multivariate_normal(params, cov_matrix, size=n_bootstraps)\n", "\n", "# Generate x values for plotting\n", "x_vals = np.linspace(X.min(), X.max(), 1000)\n", "\n", "# Compute predicted probabilities for each bootstrap sample\n", "predicted_probs = np.array([logistic(x_vals, bp) for bp in bootstrap_params])\n", "mean_predicted_probs_raw = predicted_probs.mean(axis=0)\n", "\n", "# --- Exponential Smoothing ---\n", "# Apply exponential smoothing with a smoothing factor (alpha)\n", "alpha = 0.1 # A smaller alpha gives more smoothing\n", "mean_predicted_probs_smoothed = np.copy(mean_predicted_probs_raw)\n", "for i in range(1, len(mean_predicted_probs_raw)):\n", " mean_predicted_probs_smoothed[i] = alpha * mean_predicted_probs_raw[i] + (1 - alpha) * mean_predicted_probs_smoothed[i-1]\n", "\n", "# Create a larger kernel for moving average smoothing\n", "weights = np.array([1, 2, 3, 4, 3, 2, 1], dtype=float)\n", "weights /= weights.sum()\n", "\n", "lower_bounds = np.percentile(predicted_probs, 2.5, axis=0)\n", "upper_bounds = np.percentile(predicted_probs, 97.5, axis=0)\n", "smoothed_lower_bounds = np.convolve(lower_bounds, weights, mode='same')\n", "smoothed_upper_bounds = np.convolve(upper_bounds, weights, mode='same')\n", "\n", "# Apply cubic spline interpolation to smooth the predicted probabilities even more\n", "spl = make_interp_spline(x_vals, mean_predicted_probs_smoothed, k=3)\n", "smoothed_mean_curve = spl(x_vals)\n", "\n", "# Plotting\n", "plt.figure(figsize=(10, 6))\n", "plt.title(\"Prediction Probability of AE Depending on maxSUV Value (Smoothed with Exponential Smoothing)\")\n", "plt.xlabel(r\"$x = \\max_{visit} SUV(visit, p)$\")\n", "plt.ylabel(\"P(AE | X = x)\")\n", "\n", "# Scatter data points\n", "plt.scatter(X[flags == 0], flags[flags == 0], label=\"NC\", color='blue', alpha=0.6)\n", "plt.scatter(X[flags == 1], flags[flags == 1], label=\"AE\", color='red', alpha=0.6)\n", "\n", "# Plot smoothed logistic curve\n", "plt.plot(x_vals, smoothed_mean_curve, color='green', label=\"Smoothed Mean Prediction (Spline)\")\n", "\n", "# Plot original MLE logistic curve\n", "plt.plot(x_vals, logistic(x_vals, params), color='orange', linestyle='--', label=\"Logistic Regression (MLE)\")\n", "\n", "# Confidence interval band with smoothed bounds\n", "plt.fill_between(x_vals, smoothed_lower_bounds, smoothed_upper_bounds,\n", " color='green', alpha=0.2, label=\"95% CI (Smoothed)\")\n", "\n", "plt.legend(loc='center right')\n", "plt.grid(True)\n", "plt.show()\n" ] }, { "cell_type": "code", "execution_count": null, "id": "53ff301b", "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import numpy as np\n", "from scipy import io\n", "from scipy.stats import norm\n", "from sklearn.linear_model import LogisticRegression\n", "import matplotlib.pyplot as plt\n", "from scipy.ndimage import gaussian_filter1d\n", "\n", "# Load the data\n", "data_path = \"../data/\"\n", "suv_file = data_path + \"suv_percentilesSLOthenUWM.mat\"\n", "flags_file = data_path + \"flags_combined.mat\"\n", "\n", "suv_dict = io.loadmat(suv_file)\n", "flags_dict = io.loadmat(flags_file)\n", "\n", "# Extract and preprocess data\n", "suv = suv_dict['lung_SUVperc_COMBINED'][0:58, :, :]\n", "flags = flags_dict['flags'][0:58, 3]\n", "p = 94 # Target percentile\n", "X = np.nanmax(suv[:, :, p], axis=1).reshape(-1, 1)\n", "\n", "\n", "\n", "# Fit logistic regression\n", "logr = LogisticRegression(penalty=None, solver='lbfgs')\n", "logr.fit(X, flags)\n", "\n", "# Model parameters and covariance\n", "X_design = np.hstack([np.ones((X.shape[0], 1)), X])\n", "pred_probs = logr.predict_proba(X)[:, 1]\n", "V = np.diagflat(pred_probs * (1 - pred_probs))\n", "cov_matrix = np.linalg.inv(X_design.T @ V @ X_design)\n", "params = np.insert(logr.coef_[0], 0, logr.intercept_[0])\n", "\n", "n_bootstraps = 10000 # Reduced for stability and overlap\n", "bootstrap_params = np.random.multivariate_normal(params, cov_matrix, size=n_bootstraps)\n", "x_vals = np.linspace(X.min(), X.max(), 500)\n", "\n", "# Bootstrap predictions\n", "predicted_probs = 1 / (1 + np.exp(-(bootstrap_params[:, 0:1] + bootstrap_params[:, 1:2] * x_vals)))\n", "\n", "sigma_curve = 1.0 # Reduced smoothing for overlap\n", "smoothed_bootstrap_probs = np.array([\n", " gaussian_filter1d(prob_curve, sigma=sigma_curve) \n", " for prob_curve in predicted_probs\n", "])\n", "\n", "mean_smoothed_probs = smoothed_bootstrap_probs.mean(axis=0)\n", "lower_bounds = np.percentile(smoothed_bootstrap_probs, 2.5, axis=0)\n", "upper_bounds = np.percentile(smoothed_bootstrap_probs, 97.5, axis=0)\n", "\n", "plt.figure(figsize=(10, 6))\n", "plt.title(\"AE Probability with Overlapping Curves\")\n", "plt.xlabel(r\"$x = \\max_{visit} SUV(visit, p)$\")\n", "plt.ylabel(\"P(AE | X = x)\")\n", "\n", "plt.scatter(X[flags == 0], flags[flags == 0], label=\"NC\", color='blue', alpha=0.6)\n", "plt.scatter(X[flags == 1], flags[flags == 1], label=\"AE\", color='red', alpha=0.6)\n", "\n", "plt.plot(x_vals, 1 / (1 + np.exp(-(params[0] + params[1] * x_vals))),\n", " color='orange', linestyle='--', label=\"Logistic (MLE)\")\n", "\n", "plt.plot(x_vals, mean_smoothed_probs, color='green', linewidth=2, label=\"Mean Bootstrap Curve\")\n", "\n", "plt.fill_between(x_vals, lower_bounds, upper_bounds,\n", " color='green', alpha=0.2, label=\"95% CI (Bootstrap)\")\n", "\n", "plt.legend(loc='center right')\n", "plt.grid(True)\n", "plt.show()\n" ] }, { "cell_type": "code", "execution_count": null, "id": "bca21a7f", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Intercept (w0): -11.683190353932442\n", "Coefficient (w1): 5.687089258005263\n", "params:\n", "[-11.68319035 5.68708926]\n", "covariance matrix:\n", "[[12.31854544 -6.71118734]\n", " [-6.71118734 3.81820749]]\n", "95% CI for Intercept (w0): (-18.562229897321522, -4.804150810543363)\n", "95% CI for Coefficient (w1): (1.8572737464039735, 9.516904769606551)\n" ] }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import numpy as np\n", "from scipy import io\n", "from scipy.stats import norm\n", "from sklearn.linear_model import LogisticRegression\n", "import matplotlib.pyplot as plt\n", "from scipy.ndimage import gaussian_filter\n", "\n", "# Load the data\n", "data_path = \"../data/\"\n", "suv_file = data_path + \"suv_percentilesSLOthenUWM.mat\"\n", "flags_file = data_path + \"flags_combined.mat\"\n", "\n", "# Load .mat files\n", "suv_dict = io.loadmat(suv_file)\n", "flags_dict = io.loadmat(flags_file)\n", "\n", "# Extract relevant data\n", "suv = suv_dict['lung_SUVperc_COMBINED'][0:58, :, :]\n", "flags = flags_dict['flags'][0:58, 3]\n", "\n", "# Choose percentile of interest\n", "p = 94 # For lung and bowel, use 94 (0-indexed)\n", "X = np.nanmax(suv[:, :, p], axis=1).reshape(-1, 1)\n", "\n", "# Handle missing values\n", "valid_indices = ~np.isnan(X).flatten()\n", "X = X[valid_indices]\n", "flags = flags[valid_indices]\n", "\n", "# Fit logistic regression using sklearn\n", "logr = LogisticRegression(penalty=None, solver='lbfgs')\n", "logr.fit(X, flags)\n", "\n", "# Print model coefficients\n", "print(\"Intercept (w0):\", logr.intercept_[0])\n", "print(\"Coefficient (w1):\", logr.coef_[0][0])\n", "\n", "# Design matrix with intercept\n", "X_design = np.hstack([np.ones((X.shape[0], 1)), X])\n", "pred_probs = logr.predict_proba(X)[:, 1]\n", "\n", "# Variance matrix\n", "V = np.diagflat(pred_probs * (1 - pred_probs))\n", "cov_matrix = np.linalg.inv(X_design.T @ V @ X_design)\n", "std_errors = np.sqrt(np.diag(cov_matrix))\n", "\n", "# Combine parameters\n", "params = np.insert(logr.coef_[0], 0, logr.intercept_[0])\n", "print(\"params:\")\n", "print(params)\n", "\n", "print(\"covariance matrix:\")\n", "print(cov_matrix)\n", "\n", "# Confidence intervals for parameters\n", "z = norm.ppf(0.975)\n", "ci_intercept = (params[0] - z * std_errors[0], params[0] + z * std_errors[0])\n", "ci_coef = (params[1] - z * std_errors[1], params[1] + z * std_errors[1])\n", "print(f\"95% CI for Intercept (w0): {ci_intercept}\")\n", "print(f\"95% CI for Coefficient (w1): {ci_coef}\")\n", "\n", "# Define logistic function\n", "def logistic(x, params):\n", " return 1 / (1 + np.exp(-(params[0] + params[1] * x)))\n", "\n", "# Bootstrap\n", "n_bootstraps = 5000\n", "bootstrap_params = np.random.multivariate_normal(params, cov_matrix, size=n_bootstraps)\n", "\n", "# Generate x values for plotting\n", "x_vals = np.linspace(X.min(), X.max(), 1000)\n", "\n", "# Compute predicted probabilities for each bootstrap sample\n", "predicted_probs = np.array([logistic(x_vals, bp) for bp in bootstrap_params])\n", "mean_predicted_probs_raw = predicted_probs.mean(axis=0)\n", "\n", "\n", "#Smoothing by higher sigma for more smoothing)\n", "mean_predicted_probs_smoothed = gaussian_filter(mean_predicted_probs_raw, sigma=4) # Increased smoothing\n", "\n", "# Smooth CI bounds using a larger kernel\n", "def weighted_moving_average(data, weights):\n", " return np.convolve(data, weights, mode='same')\n", "\n", "# Wider smoothing kernel \n", "weights = np.array([1, 2, 3, 4, 3, 2, 1], dtype=float)\n", "weights /= weights.sum()\n", "\n", "lower_bounds = np.percentile(predicted_probs, 2.5, axis=0)\n", "upper_bounds = np.percentile(predicted_probs, 97.5, axis=0)\n", "smoothed_lower_bounds = weighted_moving_average(lower_bounds, weights)\n", "smoothed_upper_bounds = weighted_moving_average(upper_bounds, weights)\n", "\n", "\n", "plt.figure(figsize=(10, 6))\n", "plt.title(\"Prediction Probability of AE Depending on maxSUV Value (Smoothed with Stronger Smoothing)\")\n", "plt.xlabel(r\"$x = \\max_{visit} SUV(visit, p)$\")\n", "plt.ylabel(\"P(AE | X = x)\")\n", "\n", "\n", "plt.scatter(X[flags == 0], flags[flags == 0], label=\"NC\", color='blue', alpha=0.6)\n", "plt.scatter(X[flags == 1], flags[flags == 1], label=\"AE\", color='red', alpha=0.6)\n", "\n", "# Plot logistic curve\n", "plt.plot(x_vals, mean_predicted_probs_smoothed, color='green', label=\"Smoothed Mean Prediction\")\n", "\n", "\n", "plt.plot(x_vals, logistic(x_vals, params), color='orange', linestyle='--', label=\"Logistic Regression (MLE)\")\n", "\n", "# Confidence interval band with smoothed bounds\n", "plt.fill_between(x_vals, smoothed_lower_bounds, smoothed_upper_bounds,\n", " color='green', alpha=0.2, label=\"95% CI (Smoothed)\")\n", "\n", "plt.legend(loc='center right')\n", "plt.grid(True)\n", "plt.show()\n" ] }, { "cell_type": "markdown", "id": "0b16bc57", "metadata": {}, "source": [ "The next model used delta for standard error....becuase it assumes that we have gussian dist....It is a standard method..." ] }, { "cell_type": "markdown", "id": "92b70025", "metadata": {}, "source": [ "My question? You mentined that it would be better not use regulization. Whay? Also, what about penalty? " ] }, { "cell_type": "markdown", "id": "16b21d5a", "metadata": {}, "source": [ "2. Statmodels library\n", "Delta Method" ] }, { "cell_type": "code", "execution_count": null, "id": "36e9c0c3", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Optimization terminated successfully.\n", " Current function value: inf\n", " Iterations 8\n", " Logit Regression Results \n", "==============================================================================\n", "Dep. Variable: y No. Observations: 58\n", "Model: Logit Df Residuals: 56\n", "Method: MLE Df Model: 1\n", "Date: Tue, 06 May 2025 Pseudo R-squ.: inf\n", "Time: 16:48:37 Log-Likelihood: -inf\n", "converged: True LL-Null: 0.0000\n", "Covariance Type: nonrobust LLR p-value: 1.000\n", "==============================================================================\n", " coef std err z P>|z| [0.025 0.975]\n", "------------------------------------------------------------------------------\n", "const -11.6839 3.510 -3.328 0.001 -18.564 -4.804\n", "x1 5.6870 1.954 2.910 0.004 1.857 9.517\n", "==============================================================================\n", "\n", "95% Confidence Intervals for Parameters:\n", " [[-18.56416559 -4.8035785 ]\n", " [ 1.85686085 9.51707004]]\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "c:\\Users\\zahra\\anaconda3\\Lib\\site-packages\\statsmodels\\discrete\\discrete_model.py:2385: RuntimeWarning: overflow encountered in exp\n", " return 1/(1+np.exp(-X))\n", "c:\\Users\\zahra\\anaconda3\\Lib\\site-packages\\statsmodels\\discrete\\discrete_model.py:2443: RuntimeWarning: divide by zero encountered in log\n", " return np.sum(np.log(self.cdf(q * linpred)))\n", "c:\\Users\\zahra\\anaconda3\\Lib\\site-packages\\statsmodels\\base\\model.py:595: HessianInversionWarning: Inverting hessian failed, no bse or cov_params available\n", " warnings.warn('Inverting hessian failed, no bse or cov_params '\n", "c:\\Users\\zahra\\anaconda3\\Lib\\site-packages\\statsmodels\\base\\model.py:595: HessianInversionWarning: Inverting hessian failed, no bse or cov_params available\n", " warnings.warn('Inverting hessian failed, no bse or cov_params '\n" ] }, { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import numpy as np\n", "import matplotlib.pyplot as plt\n", "from scipy import io\n", "import statsmodels.api as sm\n", "\n", "# Load the data\n", "data_path = \"../data/\"\n", "suv_file = data_path + \"suv_percentilesSLOthenUWM.mat\"\n", "flags_file = data_path + \"flags_combined.mat\"\n", "\n", "# Load .mat files\n", "suv_dict = io.loadmat(suv_file)\n", "flags_dict = io.loadmat(flags_file)\n", "\n", "# Extract relevant data\n", "suv = suv_dict['lung_SUVperc_COMBINED'][0:58, :, :]\n", "flags = flags_dict['flags'][0:58, 3]\n", "\n", "# Choose percentile of interest\n", "p = 94 # For lung and bowel, use 94 (0-indexed)\n", "X = np.nanmax(suv[:, :, p], axis=1).reshape(-1, 1)\n", "\n", "# Handle missing values\n", "valid_indices = ~np.isnan(X).flatten()\n", "X = X[valid_indices]\n", "flags = flags[valid_indices]\n", "\n", "# Add intercept term\n", "X_with_intercept = sm.add_constant(X)\n", "\n", "# Fit logistic regression using MLE\n", "model = sm.Logit(flags, X_with_intercept)\n", "result = model.fit()\n", "\n", "# Print model summary and parameter confidence intervals\n", "print(result.summary())\n", "print(\"\\n95% Confidence Intervals for Parameters:\\n\", result.conf_int())\n", "\n", "# Prepare values for plotting predictions\n", "x_vals = np.linspace(X.min(), X.max(), 100)\n", "x_vals_with_intercept = sm.add_constant(x_vals)\n", "\n", "# Compute predicted probabilities\n", "predicted_probs = result.predict(x_vals_with_intercept)\n", "\n", "# Compute confidence intervals using the delta method\n", "# Get the covariance matrix of the parameters\n", "cov_params = result.cov_params()\n", "\n", "# Compute the standard errors for the predicted probabilities\n", "# For each x, compute the gradient (Jacobian) of the logistic function\n", "def logistic(x):\n", " return 1 / (1 + np.exp(-x))\n", "\n", "# Compute the linear predictor\n", "linear_pred = x_vals_with_intercept @ result.params\n", "\n", "# Compute the gradients\n", "gradients = x_vals_with_intercept * (logistic(linear_pred) * (1 - logistic(linear_pred)))[:, np.newaxis]\n", "\n", "# Compute the standard errors\n", "standard_errors = np.sqrt(np.sum(gradients @ cov_params * gradients, axis=1))\n", "\n", "# Compute the confidence intervals\n", "z = 1.96 # for 95% confidence interval\n", "lower_bounds = predicted_probs - z * standard_errors\n", "upper_bounds = predicted_probs + z * standard_errors\n", "\n", "# Ensure the bounds are within [0,1]\n", "lower_bounds = np.clip(lower_bounds, 0, 1)\n", "upper_bounds = np.clip(upper_bounds, 0, 1)\n", "\n", "# Plotting\n", "plt.figure(figsize=(10, 6))\n", "plt.title(\"Prediction Probability of AE Depending on maxSUV Value\")\n", "plt.xlabel(r\"$x = \\max_{visit} SUV(visit, p)$\")\n", "plt.ylabel(\"P(AE | X = x)\")\n", "\n", "# Scatter data points\n", "plt.scatter(X[flags == 0], flags[flags == 0], label=\"NC\", color='blue', alpha=0.6)\n", "plt.scatter(X[flags == 1], flags[flags == 1], label=\"AE\", color='red', alpha=0.6)\n", "\n", "# Plot the mean logistic curve (S-shape)\n", "plt.plot(x_vals, predicted_probs, color='green', label=\"Logistic Regression (MLE)\")\n", "\n", "# Confidence interval band\n", "plt.fill_between(x_vals, lower_bounds, upper_bounds, color='green', alpha=0.2, label=\"95% CI (Delta Method)\")\n", "\n", "plt.legend(loc='center right')\n", "plt.grid(True)\n", "plt.show()\n" ] }, { "cell_type": "code", "execution_count": 1, "id": "a6aa9720", "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "c:\\Users\\zahra\\anaconda3\\Lib\\site-packages\\statsmodels\\discrete\\discrete_model.py:2385: RuntimeWarning: overflow encountered in exp\n", " return 1/(1+np.exp(-X))\n", "c:\\Users\\zahra\\anaconda3\\Lib\\site-packages\\statsmodels\\discrete\\discrete_model.py:2443: RuntimeWarning: divide by zero encountered in log\n", " return np.sum(np.log(self.cdf(q * linpred)))\n", "c:\\Users\\zahra\\anaconda3\\Lib\\site-packages\\statsmodels\\base\\model.py:595: HessianInversionWarning: Inverting hessian failed, no bse or cov_params available\n", " warnings.warn('Inverting hessian failed, no bse or cov_params '\n", "c:\\Users\\zahra\\anaconda3\\Lib\\site-packages\\statsmodels\\base\\model.py:595: HessianInversionWarning: Inverting hessian failed, no bse or cov_params available\n", " warnings.warn('Inverting hessian failed, no bse or cov_params '\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "Optimization terminated successfully.\n", " Current function value: inf\n", " Iterations 8\n", " Logit Regression Results \n", "==============================================================================\n", "Dep. Variable: y No. Observations: 58\n", "Model: Logit Df Residuals: 56\n", "Method: MLE Df Model: 1\n", "Date: Thu, 05 Jun 2025 Pseudo R-squ.: inf\n", "Time: 14:08:59 Log-Likelihood: -inf\n", "converged: True LL-Null: 0.0000\n", "Covariance Type: nonrobust LLR p-value: 1.000\n", "==============================================================================\n", " coef std err z P>|z| [0.025 0.975]\n", "------------------------------------------------------------------------------\n", "const -3.6869 0.997 -3.696 0.000 -5.642 -1.732\n", "x1 2.7240 0.936 2.910 0.004 0.889 4.559\n", "==============================================================================\n", "\n", "95% Confidence Intervals for Parameters:\n", " [[-5.64183622 -1.73193314]\n", " [ 0.88942383 4.55861241]]\n" ] }, { "ename": "AttributeError", "evalue": "'LogitResults' object has no attribute 'get_robustcov_results'", "output_type": "error", "traceback": [ "\u001b[1;31m---------------------------------------------------------------------------\u001b[0m", "\u001b[1;31mAttributeError\u001b[0m Traceback (most recent call last)", "Cell \u001b[1;32mIn[1], line 55\u001b[0m\n\u001b[0;32m 52\u001b[0m predicted_probs \u001b[38;5;241m=\u001b[39m expit(linear_pred)\n\u001b[0;32m 54\u001b[0m \u001b[38;5;66;03m# Compute robust covariance matrix\u001b[39;00m\n\u001b[1;32m---> 55\u001b[0m robust_result \u001b[38;5;241m=\u001b[39m result\u001b[38;5;241m.\u001b[39mget_robustcov_results(cov_type\u001b[38;5;241m=\u001b[39m\u001b[38;5;124m'\u001b[39m\u001b[38;5;124mHC0\u001b[39m\u001b[38;5;124m'\u001b[39m)\n\u001b[0;32m 56\u001b[0m cov_params \u001b[38;5;241m=\u001b[39m robust_result\u001b[38;5;241m.\u001b[39mcov_params()\n\u001b[0;32m 58\u001b[0m \u001b[38;5;66;03m# Compute the standard errors using the delta method\u001b[39;00m\n", "File \u001b[1;32mc:\\Users\\zahra\\anaconda3\\Lib\\site-packages\\statsmodels\\base\\wrapper.py:34\u001b[0m, in \u001b[0;36mResultsWrapper.__getattribute__\u001b[1;34m(self, attr)\u001b[0m\n\u001b[0;32m 31\u001b[0m \u001b[38;5;28;01mexcept\u001b[39;00m \u001b[38;5;167;01mAttributeError\u001b[39;00m:\n\u001b[0;32m 32\u001b[0m \u001b[38;5;28;01mpass\u001b[39;00m\n\u001b[1;32m---> 34\u001b[0m obj \u001b[38;5;241m=\u001b[39m \u001b[38;5;28mgetattr\u001b[39m(results, attr)\n\u001b[0;32m 35\u001b[0m data \u001b[38;5;241m=\u001b[39m results\u001b[38;5;241m.\u001b[39mmodel\u001b[38;5;241m.\u001b[39mdata\n\u001b[0;32m 36\u001b[0m how \u001b[38;5;241m=\u001b[39m \u001b[38;5;28mself\u001b[39m\u001b[38;5;241m.\u001b[39m_wrap_attrs\u001b[38;5;241m.\u001b[39mget(attr)\n", "\u001b[1;31mAttributeError\u001b[0m: 'LogitResults' object has no attribute 'get_robustcov_results'" ] } ], "source": [ "import numpy as np\n", "import matplotlib.pyplot as plt\n", "from scipy import io\n", "from scipy.special import expit # Numerically stable sigmoid\n", "import statsmodels.api as sm\n", "\n", "# Load the data\n", "data_path = \"../data/\"\n", "suv_file = data_path + \"suv_percentilesSLOthenUWM.mat\"\n", "flags_file = data_path + \"flags_combined.mat\"\n", "\n", "# Load .mat files\n", "suv_dict = io.loadmat(suv_file)\n", "flags_dict = io.loadmat(flags_file)\n", "\n", "# Extract relevant data\n", "suv = suv_dict['lung_SUVperc_COMBINED'][0:58, :, :]\n", "flags = flags_dict['flags'][0:58, 3]\n", "\n", "# Choose percentile of interest\n", "p = 94 # For lung and bowel\n", "X_raw = np.nanmax(suv[:, :, p], axis=1).reshape(-1, 1)\n", "\n", "# Handle missing values\n", "valid_indices = ~np.isnan(X_raw).flatten()\n", "X_raw = X_raw[valid_indices]\n", "flags = flags[valid_indices]\n", "\n", "# Standardize the predictor\n", "X_mean = X_raw.mean()\n", "X_std = X_raw.std()\n", "X = (X_raw - X_mean) / X_std\n", "\n", "# Add intercept term\n", "X_with_intercept = sm.add_constant(X)\n", "\n", "# Fit logistic regression using MLE\n", "model = sm.Logit(flags, X_with_intercept)\n", "result = model.fit(disp=1, method='newton', maxiter=100)\n", "\n", "# Print model summary and confidence intervals\n", "print(result.summary())\n", "print(\"\\n95% Confidence Intervals for Parameters:\\n\", result.conf_int())\n", "\n", "# Prepare values for plotting predictions\n", "x_vals_std = np.linspace(X.min(), X.max(), 100).reshape(-1, 1)\n", "x_vals_std_with_intercept = sm.add_constant(x_vals_std)\n", "\n", "# Compute predicted probabilities (numerically stable)\n", "linear_pred = x_vals_std_with_intercept @ result.params\n", "linear_pred = np.clip(linear_pred, -30, 30) # Avoid overflow\n", "predicted_probs = expit(linear_pred)\n", "\n", "# Compute robust covariance matrix\n", "robust_result = result.get_robustcov_results(cov_type='HC0')\n", "cov_params = robust_result.cov_params()\n", "\n", "# Compute the standard errors using the delta method\n", "gradients = x_vals_std_with_intercept * (predicted_probs * (1 - predicted_probs))[:, np.newaxis]\n", "standard_errors = np.sqrt(np.sum(gradients @ cov_params * gradients, axis=1))\n", "\n", "# Compute confidence intervals\n", "z = 1.96 # 95% CI\n", "lower_bounds = np.clip(predicted_probs - z * standard_errors, 0, 1)\n", "upper_bounds = np.clip(predicted_probs + z * standard_errors, 0, 1)\n", "\n", "# Plotting\n", "plt.figure(figsize=(10, 6))\n", "plt.title(\"Prediction Probability of AE Depending on Standardized maxSUV\")\n", "plt.xlabel(r\"Standardized $x = \\max_{visit} SUV(visit, p)$\")\n", "plt.ylabel(\"P(AE | X = x)\")\n", "\n", "# Scatter data points\n", "plt.scatter(X[flags == 0], flags[flags == 0], label=\"NC\", color='blue', alpha=0.6)\n", "plt.scatter(X[flags == 1], flags[flags == 1], label=\"AE\", color='red', alpha=0.6)\n", "\n", "# Logistic curve\n", "plt.plot(x_vals_std, predicted_probs, color='green', label=\"Logistic Regression (MLE)\")\n", "\n", "# Confidence interval band\n", "plt.fill_between(x_vals_std.flatten(), lower_bounds, upper_bounds, color='green', alpha=0.2, label=\"95% CI (Delta Method + robust SE)\")\n", "\n", "plt.legend(loc='center right')\n", "plt.grid(True)\n", "plt.show()\n" ] }, { "cell_type": "markdown", "id": "e66de4c4", "metadata": {}, "source": [ "#to chech the CI of the parameters" ] }, { "cell_type": "code", "execution_count": null, "id": "cee11b36", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Intercept (w0): -11.683190353932442\n", "Coefficient (w1): 5.687089258005263\n", "Standard errors: [3.50977855 1.95402341]\n", "95% CI for Intercept (w0): (-18.562229897321522, -4.804150810543363)\n", "95% CI for Coefficient (w1): (1.8572737464039735, 9.516904769606551)\n" ] }, { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import numpy as np\n", "import matplotlib.pyplot as plt\n", "from sklearn.linear_model import LogisticRegression\n", "from scipy import io\n", "from scipy.stats import norm\n", "from scipy.ndimage import gaussian_filter1d # For smoothing\n", "\n", "# --- Load the data ---\n", "data_path = \"../data/\"\n", "suv_file = data_path + \"suv_percentilesSLOthenUWM.mat\"\n", "flags_file = data_path + \"flags_combined.mat\"\n", "\n", "suv_dict = io.loadmat(suv_file)\n", "flags_dict = io.loadmat(flags_file)\n", "\n", "suv = suv_dict['lung_SUVperc_COMBINED'][0:58, :, :]\n", "flags = flags_dict['flags'][0:58, 3]\n", "\n", "p = 94 # Percentile index\n", "X = np.nanmax(suv[:, :, p], axis=1).reshape(-1, 1)\n", "\n", "\n", "\n", "\n", "logr = LogisticRegression(penalty=None, solver='lbfgs')\n", "logr.fit(X, flags)\n", "\n", "\n", "print(\"Intercept (w0):\", logr.intercept_[0])\n", "print(\"Coefficient (w1):\", logr.coef_[0][0])\n", "\n", "\n", "X_design = np.hstack([np.ones((X.shape[0], 1)), X])\n", "pred_probs = logr.predict_proba(X)[:, 1]\n", "V = np.diagflat(pred_probs * (1 - pred_probs))\n", "cov_matrix = np.linalg.inv(X_design.T @ V @ X_design)\n", "\n", "# Standard errors\n", "std_errors = np.sqrt(np.diag(cov_matrix))\n", "print(\"Standard errors:\", std_errors)\n", "\n", "# Combine parameters\n", "params = np.insert(logr.coef_[0], 0, logr.intercept_[0])\n", "\n", "# Confidence Intervals for parameters\n", "z = norm.ppf(0.975)\n", "ci_intercept = (params[0] - z * std_errors[0], params[0] + z * std_errors[0])\n", "ci_coef = (params[1] - z * std_errors[1], params[1] + z * std_errors[1])\n", "print(f\"95% CI for Intercept (w0): {ci_intercept}\")\n", "print(f\"95% CI for Coefficient (w1): {ci_coef}\")\n", "\n", "# --- Bootstrap setup ---\n", "n_bootstraps = 20000\n", "bootstrap_params = np.random.multivariate_normal(params, cov_matrix, size=n_bootstraps)\n", "x_vals = np.linspace(X.min(), X.max(), 500)\n", "\n", "# Vectorized logistic predictions\n", "predicted_probs = 1 / (1 + np.exp(-(bootstrap_params[:, 0:1] + bootstrap_params[:, 1:2] * x_vals)))\n", "\n", "# Smoothing\n", "sigma_curve = 2.5\n", "smoothed_bootstrap_probs = np.array([\n", " gaussian_filter1d(prob_curve, sigma=sigma_curve)\n", " for prob_curve in predicted_probs\n", "])\n", "\n", "mean_smoothed_probs = smoothed_bootstrap_probs.mean(axis=0)\n", "lower_bounds = np.percentile(smoothed_bootstrap_probs, 2.5, axis=0)\n", "upper_bounds = np.percentile(smoothed_bootstrap_probs, 97.5, axis=0)\n", "\n", "# Final CI smoothing\n", "sigma_ci = 1.2\n", "smoothed_lower = gaussian_filter1d(lower_bounds, sigma=sigma_ci)\n", "smoothed_upper = gaussian_filter1d(upper_bounds, sigma=sigma_ci)\n", "\n", "\n", "plt.figure(figsize=(10, 6))\n", "plt.title(\"Smoothed AE Probability with Confidence Bands\")\n", "plt.xlabel(r\"$x = \\max_{visit} SUV(visit, p)$\")\n", "plt.ylabel(\"P(AE | X = x)\")\n", "\n", "\n", "plt.scatter(X[flags == 0], flags[flags == 0], label=\"NC\", color='blue', alpha=0.6)\n", "plt.scatter(X[flags == 1], flags[flags == 1], label=\"AE\", color='red', alpha=0.6)\n", "\n", "# Mean logistic curve\n", "plt.plot(x_vals, 1 / (1 + np.exp(-(params[0] + params[1] * x_vals))),\n", " color='orange', linestyle='--', label=\"Logistic (MLE)\")\n", "\n", "# Smoothed mean curve\n", "plt.plot(x_vals, mean_smoothed_probs, color='green', linewidth=2, label=\"Mean Bootstrap Curve\")\n", "\n", "# Confidence bands\n", "plt.fill_between(x_vals, smoothed_lower, smoothed_upper, color='green', alpha=0.2, label=\"95% CI (Smoothed)\")\n", "\n", "plt.legend(loc='center right')\n", "plt.grid(True)\n", "plt.show()\n" ] }, { "cell_type": "code", "execution_count": null, "id": "5eb6c306", "metadata": {}, "outputs": [ { "data": { "image/png": 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KUL17771XAerDDz8MlAEqLS1NNTQ0BMrKysqUVqtVCxYsaDUepX79Ur733nuV2+1WDodDrVu3Th111FGBH+NK/bofLrnkkqDpm7bbtddeG1T+9ddfK0DddtttQesIqLfeeiuo7hVXXKG0Wq3avXt3izF6vV7ldrvVXXfdpZKSkoJ+pOXm5iqNRqM2bNgQNM2UKVNUbGysslqtQevZ3kRKKaWioqKC9n+TpvfBm2++GSgrLi5Wer2+WcJ3oD//+c8KUF9//XVQ+TXXXKM0Go3aunVr0DqedtppB51fE5/PpwYMGBD0g63ph8jHH38cVLepvKVX//79D7msQyVS77//fuC9pZQ/KQXUP//5z6B6e/bsUREREepPf/pT0Lzb8l5p6+dbKf92NJvNQe8zu92uEhMT1VVXXRUomzFjhoqIiAhK7Dwejxo8eHCbE6nhw4cH/cD/5ptvFKBeeuklpZT/PZ2enq6OPvrooLh3796tDAbDIROpw/ncHfheGzJkiDrllFMOuhyl/MeX9PR0ZbFYAmXLli1TgBo5cmTQ5/Hhhx9WgPr+++9bnJfP51Nut1vt3r27xf378ssvK0A9/PDD6vbbb1darTboWKeU/0f3sGHDAu/ViIgIdfLJJ6tHH320WfLS3kSqsbFRRUdHqzPPPDOo7pgxY1R2drbyer2tb6h9mo4rb7zxRqBs06ZNClB/+ctfWpym6Ri3dOlSpdPpVE1NTWDckSRSp5xyiurTp0/ghF2T6667TpnN5qDltCQyMlJdffXVzcoPPAlTW1urXnnlFRUVFaUuuOCCQD2r1aoSExPVGWec0Wx9CwsLg5K0puPpq6++2uKy9tfWz/JVV12loqOjm323PPDAAwoIJGtPPPFEq8eb1rb1+PHjm31+RXiSpn0iLBxzzDEYDAZiYmI4/fTTSU9P5/333yctLS2o3jnnnBM0/O677xIfH88ZZ5yBx+MJvEaOHEl6enqgaV3TJfoD77c677zz0OsPfqvhtm3b+Pnnn5kzZw5ms/kI19Tvk08+ISoqinPPPTeovKn3wP2bRYD/vrGYmJjAcFpaGqmpqUHNqg7mlltuwWAwYDabGTNmDEVFRTz11FNMnz49qN6B27dpu+3fqyHAuHHjKCgoaBZnTEwMZ555ZlDZhRdeiM/n47PPPguUffLJJ0yePJm4uDh0Oh0Gg4Hbb7+d6upqKioqgqYfOnQohYWFzebZ0NDAd99916b1PxwTJ06ksLAwqJnMk08+iUaj4corrzzotJ988glDhgxh3LhxQeWzZ89GKcUnn3xyWDGtWrWKHTt2MGvWLHQ6HeBvZqfRaFq9Cf6jjz5i7dq1Qa+O6FxDHdAM891330Wj0TBz5sygz2J6ejqFhYXNmsq25b3S1s93k5EjR5KTkxMYNpvN5OfnB31OVq5cycknnxx0bNHpdG1u3gT+jgeatj8Q6OmtaTlbt26lrKyM8847L2i6nJwcxo8ff8j5t/dzl56e3uy9NmLEiDYfHyZNmkRUVFRguKCgAIBp06YFNbtqKt9/vhUVFVx99dVkZ2ej1+sxGAzk5uYC8OOPPwYt57zzzuOaa67h5ptv5v/+7/+47bbbmDJlSlCd/v37s3HjRlatWsX8+fOZPHkya9eu5brrruPYY4/F4XC0aZ1aEh0dzXnnncd7770XaJ62adMm1q1bx+zZs9vUdLCpedj+n7dFixah0Wi49NJLA2Xr16/nzDPPJCkpKXCMu+SSS/B6vWzbtu2w16GJw+Hg448/5re//S2RkZFBn4/p06fjcDhabG7apK6uDpvNRmpqaqt10tPTMRgMJCQkcN555zFmzJigThhWr15NTU0Ns2bNClq+z+fj1FNPZe3atYfdYVRbPsvvvvsukyZNIjMzM2j506ZNA/zHS/B/nlo73rQmNTW1y3oOFqElnU2IsLB06VIKCgrQ6/WkpaW12EY+MjKS2NjYoLLy8nLq6uowGo0tzrepnX51dTXg/2LYn16vP2ibeCBwL0ZH3hBbXV0d6L56f6mpqej1+kC8TVqK0WQyYbfb27S8P/zhD8ycOROtVkt8fHzgPq4DHbjdm+JoaX9kZmY2+6F2YOILv27zpnl98803TJ06lYkTJ/LMM88E2rYvW7aMv//9783W6cB91tI8O8u8efO4/PLL2bp1K/369eOZZ57h3HPPbTGm/VVXV7d4H0xmZmZg/OFo6qHvt7/9baB3yLi4OI4//nhef/11Hn30UeLj44OmKSwsPOzOJg6mad83rVN5eTlKqRbfA+DvAXB/bXmvtPXz3aQtn5Omz15ry26LA5djMpkAAstpir+ldUxLS2Pnzp0HnX97P3dHenxITEwMGm7a3q2VNyUzPp+PqVOnUlJSwt/+9jeGDx9OVFQUPp+PY445psXlX3bZZTzxxBMYjUbmzZvXYjxarZYTTzyRE088EQCr1cqcOXN4+eWXWbRoEddeey3gT4APvKeuSdM9MgaDIah8zpw5LFq0iOeff56bbrqpxSToYCIjIzn//PNZvHgxZWVlJCcn85///IcJEyYEOrMpKirihBNOYNCgQfzrX/8iLy8Ps9nMN998w+9///s275eDqa6uxuPx8Mgjj/DII4+0WOfAz8f+mmI42MnBjz76iLi4OGpqanj66ad5/fXXmTt3bqAL+KZk9MATgvurqakJStLbqi3v6fLyct55551m+7jJ/t//BzvetMRsNnfIfhLdnyRSIiwUFBQEbmRtTUs//JOTk0lKSmL58uUtTtN0FafpoFxWVkZWVlZgvMfjOeSP2qYemFrrXOFwJCUl8fXXX6OUClqviooKPB5Ph//w7dOnzyG3LzTfxk3brbS0tFkiWVJS0izOA29CBgI39DbN67///S8Gg4F333036Eu8taskLd0QfOA8O8uFF17ILbfcwmOPPcYxxxxDWVkZv//97w85XVJSEqWlpc3KS0pKAA5r/9bX1/P6668DcNRRR7VY58UXXwz8yOxsb7/9NhqNJvBjNzk5GY1Gw+effx5ILPZ3YFlb3itt/Xy3R1JS0kHfUx2hKf6DrWNbpm/r5y5UNm3axMaNG1myZAmzZs0KlB/YIUUTq9XKxRdfTH5+PuXl5Vx++eW89dZbh1xOVFQUt956Ky+//DKbNm0KlKelpbV61aCp/MAf0McddxwFBQUsXryYP/zhD/znP//hpJNOom/fvoeMo8mcOXN45plnWLp0Kfn5+VRUVPDPf/4zMH7ZsmVYrVbeeOONwNU5gA0bNhxy3k3HxAM7HTrweyohIQGdTsfFF1/c6jHpYOvU9B6rqalptc7+J2GmTJnCKaecwtNPP82cOXM46qijAuMeeeSRVntNbe3ESkdITk5mxIgR/P3vf29xfNNJnqSkpBY7ljrYZ7GmpqbbfM5E55KmfaJXO/3006mursbr9TJ27Nhmr0GDBgEEegh64YUXgqZ/5ZVXmvXuc6D8/Hz69+/PokWLmn257e/As9IHc/LJJ2OxWJolD0uXLg2M7w5OOukkAP7zn/8Ela9du5Yff/yxWZyNjY28/fbbQWUvvvhi4AwzEHjw8v5No+x2O88//3yLMWzevJmNGzc2m2dMTEy7n/XVkoOduTebzVx55ZU899xzPPjgg4wcObJNTbNOPvlktmzZ0qzp4dKlS9FoNO3uOhj862y327n77rtZuXJls1dycvJBn3HTkRYvXsz777/PBRdcEGh+c/rpp6OUori4uMXP4vDhw4Pm0Zb3Sls/3+0xadIkPv7446Akx+v1dmg37oMGDSI9PZ1XXnklqLyoqIjVq1cfcvr2fu5CpenEy4FJ8lNPPdVi/auvvpqioiLeeOMNFi5cyNtvv81DDz0UVKelExDwazPBph/H4O+Se+XKlc16cFRK8eqrr5KXl8eAAQOazeuyyy5jy5Yt/PWvf6WysjLQ015bHX300QwbNozFixezePFi4uLigppFt7RdlFKtPmpif2lpaZjNZr7//vug8gMTzsjIyMCzAEeMGNHi5+NgJ5qaeor9+eef27TOGo2Gxx57DJ1Ox1//+lfA/yiN+Ph4tmzZ0uLyx44d2+rV5I5w+umns2nTJvr379/ispveK5MmTWr1eNOaX375RR5/0EvIFSnRq51//vm88MILTJ8+nT/84Q+MGzcOg8HA3r17WblyJWeddRa//e1vKSgoYObMmTz88MMYDAYmT57Mpk2beOCBB5o1F2zJY489xhlnnMExxxzDDTfcQE5ODkVFRXzwwQeB5Kzph+K//vUvZs2ahcFgYNCgQS2eNb/kkkt47LHHmDVrFrt27WL48OF88cUX3HPPPUyfPp3Jkyd37IY6TIMGDeLKK6/kkUceQavVMm3aNHbt2sXf/vY3srOzmz08NikpiWuuuYaioiLy8/N57733eOaZZ7jmmmsCP7hPO+00HnzwQS688EKuvPJKqqureeCBB1q8igH+H05nnnkmd955JxkZGfznP/9hxYoV3HvvvR3yHLHhw4fz6aef8s4775CRkUFMTEzQD/Rrr72W++67j3Xr1vHss8+2aZ433HADS5cu5bTTTuOuu+4iNzeX//3vfzz++ONcc8015OfntzvOhQsXkpCQwE033dRic5xLLrmEBx98kI0bNwbdU7Zu3Tri4uKa1R8yZMgh3/t2uz1wn4XdbueXX35h2bJlvPvuu0yYMCHQxAf8P6quvPJKLr30Ur799ltOPPFEoqKiKC0t5YsvvmD48OFcc801gfptea+09fPdHn/96195++23Oemkk7j99tuJjIzkscce69CHf2u1WubPn89VV13Fueeey2WXXUZdXR3z588nIyPjkPfitPdzFyqDBw+mf//+/PnPf0YpRWJiIu+88w4rVqxoVvfZZ5/lP//5D4sXL2bo0KEMHTqU6667jltuuYXx48cH7vEaOnQoJ598MtOmTaN///44HA6+/vpr/vnPf5KWlhb0wNzbb7+dd955h6OPPpo///nPDBw4kLKyMp555hnWrl3bLJFtcskll3Dbbbdx//33Ex8fz9lnn93udb/sssu48cYb2bp1K1dddRURERGBcVOmTMFoNHLBBRfwpz/9CYfDwRNPPEFtbe0h59t0n+GiRYvo378/hYWFfPPNNy3+6P/Xv/7F8ccfzwknnMA111xDXl4ejY2N7Nixg3feeeeQ92JOnDiR999/v83rPHDgQK688koef/xxvvjiC44//ngeeeQRZs2aRU1NDeeeey6pqalUVlayceNGKisreeKJJ9o8//a66667WLFiBccddxzz5s1j0KBBOBwOdu3axXvvvceTTz5Jnz59uOSSS3jooYe45JJL+Pvf/87AgQN57733+OCDD1qcb3V1Ndu3b2fu3LmdFrvoRkLXz4UQR6617s8PNGvWLBUVFdXiOLfbrR544AFVWFiozGazio6OVoMHD1ZXXXWV2r59e6Ce0+lUf/zjH1Vqaqoym83qmGOOUWvWrFG5ubmH7LVPKX+vZNOmTVNxcXHKZDKp/v37N+sF8NZbb1WZmZlKq9UGzePA3r+UUqq6ulpdffXVKiMjQ+n1epWbm6tuvfXWZt1f00rPVAfG3ZLWuj8/0MH2g9frVffee6/Kz89XBoNBJScnq5kzZ6o9e/YE1Wvq5e3TTz9VY8eOVSaTSWVkZKjbbrutWVfhixYtUoMGDVImk0n169dPLViwQC1cuLBZr2lNPdq99tpraujQocpoNKq8vDz14IMPtrieh9Nr34YNG9T48eNVZGSkAprtJ6WUmjhxokpMTAzqbvtQdu/erS688EKVlJSkDAaDGjRokLr//vub9QzWll77mrqrv/7661ut89NPPylAzZ07Vyl18F77ALVixYqDLrOpN7imV1RUlOrXr58699xz1auvvtpqD2eLFi1SRx99tIqKilIRERGqf//+6pJLLlHffvtt0Lzb+l5p6+e7te3Y0mfvyy+/VMccc4wymUwqPT1d3Xzzzerpp59uc699LX2eOKBHNaWUevrpp9WAAQOU0WhU+fn5atGiReqss85So0aNanHb7a+9n7sDtfReb0lLx5fW1rOlnte2bNmipkyZomJiYlRCQoL63e9+p4qKioK2x/fff68iIiKaHa8cDocaM2aMysvLU7W1tUopf7fxZ599turXr5+KjIxURqNR9e/fX1199dXN1l0ppbZv365mzpwZOI7Gx8erqVOnNuvF8kC//e1vW+wZsa0qKyuV0WhUgPrmm2+ajX/nnXcC79msrCx18803B3q63P+7paX9VF9fry6//HKVlpamoqKi1BlnnKF27drV4nts586d6rLLLlNZWVnKYDColJQUddxxx6n/+7//O+Q6fPzxxy3G31r350opVV5erqKjo9WkSZMCZatWrVKnnXaaSkxMVAaDQWVlZanTTjst6H3S3l772vpZrqysVPPmzVN9+/ZVBoNBJSYmqjFjxqi//OUvQT1R7t27V51zzjkqOjpaxcTEqHPOOUetXr26xV77Fi5cqAwGQ1DPniJ8aZRq5QmWQgghjlhFRQW5ubnMnTuX++67L9ThhIWJEydSVVUVdL9Lb1BXV0d+fj6/+c1vePrpp0MdjhCMGDGC8ePHd+qVo57mhBNOICcnp9mtACI8yT1SQgjRCfbu3ctnn33GnDlz0Gq1/OEPfwh1SKIHKSsrY+7cubzxxhusWrWKpUuXBu7VkPeS6C7uu+8+lixZ0qGdKfVkn332GWvXruXuu+8OdSiii0giJYQQneDZZ59l4sSJbN68mRdeeCGot0chDsVkMrFr1y6uvfZapkyZwrx580hLS+PTTz9l6NChoQ5PCABOPfVU7r///kN2yd9bVFdXs3Tp0maPaxDhS5r2CSGEEEIIIUQ7yRUpIYQQQgghhGgnSaSEEEIIIYQQop16/XOkfD4fJSUlxMTEBB6CJ4QQQgghhOh9lFI0NjaSmZl5yOf29fpEqqSkhOzs7FCHIYQQQgghhOgm9uzZQ58+fQ5ap9cnUjExMYB/Y8XGxoY4mp7N7Xbz4YcfMnXqVAwGQ6jDEQeQ/dP9yT7q3mT/dG+yf7o32T/dn+wjv4aGBrKzswM5wsH0+kSqqTlfbGysJFJHyO12ExkZSWxsbK/+AHZXsn+6P9lH3Zvsn+5N9k/3Jvun+5N9FKwtt/xIZxNCCCGEEEII0U6SSAkhhBBCCCFEO0kiJYQQQgghhBDtJImUEEIIIYQQQrSTJFJCCCGEEEII0U6SSAkhhBBCCCFEO0kiJYQQQgghhBDtJImUEEIIIYQQQrSTJFJCCCGEEEII0U6SSAkhhBBCCCFEO0kiJYQQQgghhBDtJImUEEIIIYQQQrSTJFJCCCGEEEII0U76UAcghOilfD7YsQPq6yEuDgYMAK2c2+kQTdu2thbq6iA+HhISOncby/4UQghxOHrw94ckUkKIrrd+PTz3HPz4IzgcYDZDQQHMmgWjRoU6up6tadt+/TUUFYHT6d++2dlw9NGds41lfwohhDgcPfz7o1ule5999hlnnHEGmZmZaDQali1bdshpVq1axZgxYzCbzfTr148nn3yy8wMVQhy+9evhrrtg3TpITISBA/1/163zl69fH+oIe66mbbtqFezZA14vREWBx+MfXrWq47ex7E8hhBCHIwy+P7pVImW1WiksLOTRRx9tU/2dO3cyffp0TjjhBNavX89tt93GvHnzeP311zs5UiHEYfH5/Geeqqr8Z5xiY0Gn8/8tKPCXL13qryfap2nbVlaC2+1PohISIDLS37TP4/G/Kis7bhvL/hRCCHE4wuT7o1s17Zs2bRrTpk1rc/0nn3ySnJwcHn74YQAKCgr49ttveeCBBzjnnHNanMbpdOJ0OgPDDQ0NALjdbtxu9+EHLwLbT7Zj99Qt9s+OHf5XXh4YDM3H5+XB9u2wdau/jXQvc0T7qGnbpqRAebn/rN7+2zgx0d9son//jtvGvWx/dovPkGhVj9k/SoHygPIe8PL4x5tSfq1r2wNe2wH1fGiUF9CiEscEqmpq1oGzMrguPv/yNFpUn7N/rVuxCux7QfkA5a+DCgyrvpeCxn+uXVO2Ao1lx351g//6Bl4HWqO/bul7aOq+/7VOYN4+8HrRq8LA/tGU/A9N9Vf76gU2TuB/vvwbwZS0L4YP0FR8Glxnv8l8+X+AiAx/3fKP0JR9+Ou2PnC+A6+DqLx92+FTNMVvH1Bnv7oDroGYQf66VV+iKXq5xVgBfP2ugPgR/rrVX6PZ9VxgnEYdWPcyVOJR/oHa9eh+br01lS/3YlTK8f6B+k3otj/Set3s81BpJ/sHGrej++n+1uv2+Q0qY7p/wLob3Za/o/H5GOksRvP1G/j2u0fJlzkdlfUb/4C9FN2m21ufb9pkVM4M/4CrBt3GP7VcsaEBn/cXVN4I//eH1g16J7ii/eND+P3RnmNIt0qk2mvNmjVMnTo1qOyUU05h4cKFuN1uDC18sS9YsID58+c3K//www+JjIzstFh7kxUrVoQ6BHEQId8/V1xx6DrbtvlfvdRh76O2bNsmHbWNe+H+DPlnqJeora0lISGh3dMdbP+YVB065USHC61yosMd+L9HE0m1bligbj/3uxhUIzpc6JQLLS50uNEoL3ZtMluMswJ1xzruI0JVocWDVnnQ4kGDFy0ebJpUvohYEKg7yTaPWFUEwKbGoQyL2RwYZ9ck8WHkwsDwifabSfBtb3FdXETzftR/AsPH2f9Giu+HFut60fO/qNcCw0c7/o9077etbqe3f0xFaXQAjHH8kz7ez1utu3xHDh6N//fTSOcj5Ho+Dozbf/10gC5iUWD/DHc+Sz/P/1qd7ye7+2HT+pOjAtfz5Ltbb2302Z4cGrR5AOS7XqbA/VKrdb/ck0mtbjAA/d1vMcy1uNW6X+1No0pXCECu+wNGuponPE3r+O3eJMr0ewHo417JGNezrc73u5I4ivWVAGR41jDO2XoMG4sjKTL4T/qneNZz3EHqbi7W8YvBf7Eg0buFExxLWq37U7GH7f78lzjvz0x0LEEL5AIUBa+fodjKTxv9laN9xZxsf+7A2QX8sreWzZtiADD7qjjFvrTVukUnTGWj6VwADKoRs6qmcd9+DAjB94fNZmtz3R6dSJWVlZGWlhZUlpaWhsfjoaqqioyMjGbT3Hrrrdx4442B4YaGBrKzs5k6dSqxsbGdHnM4c7vdrFixgilTprSYxIrQ6hb7Z8cOuPlmf5Ozlj5vDQ3+nubuvz8srmC01xHto6ZtazDApk1gNAZfJXK5/E3+hg71N/HriG0cxvvTp3x4fB68Pi9e5X85XA7Wfb6OwuMKQeuv41VevD4vbq87UK9pOo/Pg0/5Aq+m+SoUSqnmf5v+v98Zd+X/BzQEytCABg01RTUk5CSgQYNSCo1Gg0I1Gw5M10TT9MdfD0Cj0eyrtl/F4JPogTpdpW51HYkDE9H6nBi8FoweKwZvI16tmfrI/vtiVAwpWYLeZ0fvsaG32NGZHRh8dvQ+O7WR+azPvSEwz8nfX4Xe52xxeTVRg/li4L2B4YGbXsfsqW2xbr2hLz8OnB0YjvtxF9HOkhbr+gwGtAN/PbuvturA7v//5sZhQYkUehVU1/NzFC5bFKBFabQodPv+anHrooLqWvdkYbRZUWjxaXT+q1BoAA0+jR7tgF/r1pcOQGvz7hvSoPZdfWqqr+2rDZTVVQ5Ca/UFxik0EHgvaNBkG9Duu3pRUz0MrLp97zENa6sGEZ2Xg9Jo/BelHEY0/TRodBpq6oaD5YA7TPZ7j/nSYtDq/eNrG4byc6M3qKri17ru1Di0hn3xNg5he2PLrZIAXMnJaI3+uvWWQWxv/F2L8wRwJKajNfnrNtgGsLX+/Gbz+7omC0P6CKzxfdCa/XUb7f34qf7C/Vcs6K8lri/aCH9diyOXH+tnthpvQ8xAtJH+unZnFj/WXdxq3dqYgkBdhyuNH2svabVuTfQwtFH+ui53Mj/WXILyKagBEkGj9cf6VU0aBbkJaKP9dd2eOLZUz2ptttRHDkAb46/r80azpaqVuo0NNHyyBa3jEYiIwKfx4NR5OMaeQ6Iyh/T7o6m1Wlv06EQKmh/YD/xSOJDJZMJkMjUrNxgM8uO/g8i27N5Cun8GDfIfENet87eB3v9zqhTs2gVjx/rr9ZCuTzvDYe2jpm377bdgMkF1tf/eKPBv27o6f7O/qio46qiO2cY9bH8qpfD4PLi8LlxeF26fG7fXjdvnxuVxYffYcXgdOD3OQDK0f7Lk8/iToQ3lG/zfnurX7xqtRotWo0WDxv9XowmUoQGdRuf//766GjRoNJpmf4EWy1pS9m0Z2YXZnbrNOpxSaL1WDK4a9K4aDK4qDO4aXMZU6lMm+uv4PAz59kKWNY7n9O//jPaAxKcu8Xh+HvFwYLjfD+8H17HutzhzKlnxWYFhnz4Gnwd8WjM+rQmf1ojSmfz/jxoYVLcu43S0XjtqXz2f1oTSGvFpjXgMCUF1SwbdhtbnRGkMKK3e/1ejx6c14NOayYzKDNTdOdp/pUJpdNR9spnvTpjnv/qj0YJGy681oWhM61c1gKC61fH/R3Ub61rib8JykLr7n4Z2xl9N6UHq7n862xd/MVX7DbvKvqV6uP/HvM/rw/NdCZnxGWh1Wog/l1rObXW+yfsPxJ9JHWe2WjcpqG4mDbR+m0jCvtevdSe3Wjd+36upriVzQrM6nr3fYhl8AXFA3H51rRnjW51vzL6XXya29HGt1o3e9wrUTRvdat2ofa9A3dTCVutG7HsF6qYMxef1UfJdCZn5mf59BHiLvsXcZ+x+759M7MmDW52vkeD3mj1pbssVlQ/DqgfJLPoJX99cPBote7RuvB4nBp8upN8f7fn+7dGJVHp6OmVlZUFlFRUV6PV6kpKSWplKCBEyWq2/S9Pdu/1dnfbp4+8MwWaDvXshORkuuaRb/Ojucfbftlar/6bd2lp/UuV0gl7vf6WkdNw27ob7UymFw+PA4XHg9DpxepzYPXYsTgtWtzWQOHl8HrzKG3SFR6/Vo9Po0Gl16DQ6jDpjYFir0aLxaSillKy4rMCPDLEfpdC76zA6yzA4yvHqo7EkjAVA43Mx9JtzMbiqmyVG4E+OAomUVo/JUYzW5wrUVWjx6mPwGOJwm4J+YlOWMxuFBq/WTPVeN7H9MvEZovDpIvEYgpsG/nDs+8EJ/0EU9/9Dm1e9MfGYNtf1GuJ+HdDoULrmJ3eFaEnTlXKX14XH5wkcz/b/23RV/MDX/uVNV8wPLPd4PdSW1hLxbQQ+/MvKqM7gg88/OPR8fF48quXywJX6fSelAn/jPHjHeVGaDYF1vKZmAI9/l95jfg/06ETq2GOP5Z133gkq+/DDDxk7dqxcERGiuxo1Cm6//dfnRpSU+J8bMXas/6DZA54b0W3tv22bniNltf76HKljjun4bRzC/enyurC5bdjdduweO/WOeuqd9Ti9Tsp+KSOuT1wgSTLqjBi0Bgw6AxGGCPRaPXpt+74Cm5rn9WpKBRIRjc9Nn58fwmTbg8lRjNFZHpQk1SUeH0iklNaI3l0XGO/VReI2JOIxJuE2JmKNHRa0mO0jHqXRWscPR1+ExxCLTxfVagJUmue/T8/n9VFSXkJmSmbriW4XN08UPZdP+XB5XTg9Tv9frzNwNdvpdeLy+P82WBt4f8f7gXpNSU7TVe+mhOfA4QMTILevedn+82lKkrpE+a//ncEM3vzpzc5b1gEfSa/L3qN+D3SrRMpisbBjx47A8M6dO9mwYQOJiYnk5ORw6623UlxczNKl/hvXrr76ah599FFuvPFGrrjiCtasWcPChQt56aXWbzIUQnQDo0ZBYWGPfZJ5t7b/tq2t9Tfpi4/338fUWdu4C/anUgqr24rFZcHitFDtqMbitODwOHD73KDAoDNg1puJ1EdiL7YzbOiwQ89YtEjjdWK27ybC+jMRlh2YrT9jtu3CHj2QX4b5ewJTGj1JZf9D57UGTes2JuEypeOIzAsq3zryabz6aDzGJHy6CA7GEj8Kr/5bXBGZB60neg+lFE6vM3DF+cCX3e1vmhs0vN/4FpOhfYlSUPm+hMjta1vPbTOYwcsrXz50xV5Cp9EFTlTptfrAFf79/x+48r//sMuNx+Oi7ylnwZn395jfA90qkfr222+ZNGlSYLipU4hZs2axZMkSSktLKSr6tSuRvn378t5773HDDTfw2GOPkZmZyb///e9Wuz4XQnQjWi3k54c6ivAUim3bwctUSmFz22h0NVLnqKPSWonVbcXutqNBg1lvxqw3kxSRhEHXvAVCV3eM0JNpfC7Uvu6rUYqCdTOJsOxAQ/Oz30q737bWaCjpezVebQTOiD64zOm4Tam/zusA9pjW76sQ4cXj82B1WXF4HOyo2YHNbcPitFBcV4xpuwm7147NbcPmtmF1WbF77FjdVhzuA5IjT3AypA7sASXMNF0512v1GHQGjFojep0+cDU9aHhfmUFnCAzvn8A0JS6B/++X4LRWrkVL/c/1pA1Kw6Dzz69qbRVnHXvWIefTNO5wj71KKYobizk+5/gek0RBN0ukJk6cGOgsoiVLlixpVjZhwgS+++67ToxKCCFEV/D6vDQ4G6hz1FFuLafeUY/NbUOr0RKhjyDGGENyRLIkSUdA43UQ1fgjkY2biWrcQmTDFnz6KH4c+8K+Cpp9/f558ehjsEcNwB7VH0dUf+yRfXFG5gTNr6LPBSFYC9FZlFLYPXYanY00uhr9V4BdFhpdjc3LnI1Y3Vasbqs/KXLZAv9vupozgxm8vPeAqzW7un69DsakM2HSmzDqjJh0/r9B/9cHl5v15qA6ib8kctPgmwLzMGqNzRKcFocP+HskSUhH8Xl9lFSWkJnxa/PYb03fkp8kJz1b060SKSGEEL2LT/moc9RRY6uhuLGYRmcjHuXBpDMRbYwmKSIp5D8uwkFa0fPEV60kqnHzvoe5/sqn0aPxOgOdHuwafCdeQxxuY7LcU9RDOT1O6p311DnqAvcO1jnqqHfWU++obzFJahrusvtwDkKDhghDBGa9mQh9BCa9KfD/pqvRQf83RGDSmYKG969n0pv8CdO+hKgp6TFoDUd8fPm2+lvGDhvbQWsuehpJpIQQQnQ5i8tCta2aPfV7qHPU4fa5iTJEkRyZ3GJTPdFGPg/RDT8QXb+espxLA4lQZOMWohu+B8BlTMYWMxRr7BCsMUOxxQwJ6jnOEd2znvkV7rw+L/XOemrsNYFXraM2OEFy1FPn/DVpcngcXRqjSWci0hBJpCGSKEMUEYYIogxRpNSkcGafM4kyRmHWmfFWeEnPSyfKFBVUr2napuTIqDPKCRTRI0giJYQQokv4lI9qWzUljSWUWcuwuqxEGaJIikzCqGv5vhpxaAZnBbE1q4mrXk1M7Tfovf4nBNUlT8QR1Q+AysxzaEg8jsb4UbjMWXKlKcS8Pi+1jloanY2s3rOaGnsN1fbqoGRp/6SpM3uM1Gl0xJhiiDZGE2OMIcYYQ7QpmmhDNDGmfcPGaP/4fcNNZVFGfxLUWg+Y3674ltkTZgP8+oyigoP0qihEDyOJlBBCiE7l8XmosFZQVF9EhbUChSLeFE9yXPKhJxat0rtqGPTdpUQ3/BBU7tHHUZ94LOx3Y74lYexBH8AqOo7NbaPCWkGltZIK276/1goqbf6/VbYqqmxVeJXXfw9Racf0+KbT6Ig3xxNnivP/NccRZ4oL/N2/LNYUG0iczHqzXP0R4jBJIiWEEKJTuL1uyq3l7KzdSbW9GoPWQEpkilx9OkxGezFKo8NtTt9Xoohu+AGFBmvMUBqSjqM+8ThsMQWg0YU01nDlUz6qbFX+q6qWMkotpYH/l1nKqLBWYHVbDz2jNtBr9SRFJJEYkdjslWBOCEqM4s3xRBmiJCESootJIiWEEKJDeX1eyq3l/FLzC5W2SiL0EWREZ7T7AbgCtF478ZUfk1z2DjF16yjLvpji/n8AwGNIYPfAP1OXPBGPSa7udQSlFPXOeorqi9jTsIeSxhJKG0sptfhfZZYyPD7PES0jMSKRlMgUUqNSyajJYM7AOSRGJDZLmmKMMZIYCdHNybeaEEKIDlNlq+Lnmp8ps5Rh1BnJislCp5WrI+2iFFENG0kufYeEyhXovDZ/MRr07rpf62m0VGWdG5oYezClFLWOWvY07GFP/R7/3/3+b3EdXiNIk85ESlQKqZGp/r9RqYGEqan8wM5Uvl3xLWPHSo9vQvRUkkgJIYQ4Yna3nV9qf2FX3S58ykdaVJr0vnc4lCJ/wxXE1G8IFDnMfahOP53q9NP3a9YnDsXj81DcUMzOup3srNvJL7W/sLNuJ3vq9xxW87soQxQZMRlkRPtfmTGZpEenkxGTQWZ0JvHmeLmCJEQvI4mUEEKIw+ZTPkobS9levZ0aRw0pkSlEGiJDHVaPYnBW/vrMJo0GW/RgIht/ojZ1CtXpZ2CJGyW97B2Ex+dhT/0edlTv4Puy76laWcXO+p3srtsdeDBsW2g1WtKj0smOyyY7NpvsuGyyYrICiVKMKaYT10II0RNJIiWEEOKwWF1WttdsZ3fdbsx6MzmxOXJGvh1Mtt2kFy0hqfw9thY+hTV+JABluXMozbsSryE2tAF2Qza3jR01O9hWvY2t1VvZWr2Vn2t+xul1tml6rUZLRnRGIFHKjv01acqMyZSOUIQQ7SKJlBBCiHZRSlFqKeWnqp+od9STFpWGSW869IQCgAjLNtJ3Lyah8iM0+7ooj639OpBIeYwJIYyu+3B73azes5qt1VsDidOe+j2o/bp1b41OoyM3Lpe+CX3pl9CPvvH+v9mx2fJeFUJ0GEmkhBBCtJnL62JH9Q5+rv0Zo85Idmy2XIVqI5NtD5m7niCx4sNAWV3SCZTlXIY1bngIIws9l9fFtuptbKrYxObKzWyq2MRxDcfx8p5DP2MpOzabgUkDGRA/gPjaeEaPGk1uQq7coyeE6HSSSAkhhGiTRmcjWyq3UNxYTGpkKhGGiFCH1HMoHwO/vw6ToxiAmpQplOVehj16YIgDC40KawXry9azsWwjmyo3sa162yG7FTfqjAxIGEB+Un7gNTBxIFHGKAB8Xh8l35WQmZCJVqftitUQQvRykkgJIYQ4pAprBZsqNtHobCQrJkueCdUGGq8TpTWARgsaLaW5l5FQ+QnFfa/FHjMo1OF1GaUUexv28l3Zd2wo28B3pd9R3Fh80GmMOiOx+lguGHgBBckFDEoaRG58rrzvhBDdihyRhBBCtEopRVF9EVsqt6CUIismS5ryHYpSxFd9Sp+fH6Ik70pq0k8HoDr9TKozzgpxcJ1PKcWehj18U/wN60rXsb5sPVW2qoNOkxefx7CUYQxNHcqwlGEMSBzAxk82MvZYecaSEKL7kkRKCCFEi3zKx46aHfxU9RNRhijizfGhDqnbM9mKyN5+H3G1XwGQWvwKNWmnBbo2D1d1jjrWFq/l6+Kv+br4a0otpa3WNeqMDEsZxqiMUYxKH8XQlKHStbgQokeSREoIIUQzHp+HrVX+3tISIxKJNkaHOqTuzechbe+LZO56Cq3PiU9joDz7YspyLw3LBMrr87KpchNfFH3BV3u/4qeqn1rtTS/SEElhWiGj0kcxOmM0BckF0nOeECIsSCIlhBAiiNvrZnPlZn6p/YW0qDTMenOoQ+rWzJYd5G29i6jGLQA0JIxjd/5tuCL6hDiyjmVxWfhq71d8XvQ5X+75kjpHXYv1jDojI9NGMi5rHOOyxpGflC/3NgkhwpIc2YQQQgS4vW42VWxiZ91O0qPS5cpBG+g99UQ1bsGjj2Fv/xuoTj8jbK5ClVvKWblrJZ8VfcZ3pd+12rNefmI+R/c5mqOzjmZk+khJvoUQvYIkUkIIIYBfr0TtrNtJRnQGRp0x1CF1Xz4P7LvKYokfw678v1KfdDweU3KIAztyZZYyPt75MR//8jHfV3zfYp1IQyTH9DmGE3JO4Lg+x5EUmdTFUQohwolXeUMdwmGRREoIIQRen5cfq37kl9pfJIk6hITKj8ne+S+2jXwy0HyvOvM3oQ3qCLUlecqMzuSE3BM4IecERmeMlveIEOKwuL1ubG4bdo8dt8+NUgqdVke0MRqtpmc9A04SKSGE6OWUUmyv2c7PNT+TFpUmP5BbofE5KXQ+Rt5PKwBI3/M8Rfm3hjiqw2d1Wfl458e8u/1dviv9rsU6/RP6M7nfZCblTaJ/Qn/p+l4I0S5KKZxeJza3DZvbhk/5MOqMmPVmMqIzSIhIIMIQgVFnxKgzEmWICnXI7SKJlBBC9HI7a3eytWoryZHJcm9LKwyOMvpt+hPRni0oNJTlXEpJ3pWhDqvdvD4va0vW8r/t/+OTnZ/g9Dqb1WlKnib3nUzfhL4hiFII0VN5fB7sbjt2jz1wfDHrzUQaIsmKySLWHEu0MZpoY3RYdELT89dACCHEYStpLOHHqh+JNcUSaYgMdTjdUnTdOvpt/jMGdy0uYtg57B4syceGOqx2Kaov4q2tb/H+jvepsFY0G58bl8u0AdOY3G8yefF5XR+gEKJH8ikfNrcNi8uC2+tGq9USqY8kKTKJpIgkoo3RRBmjiDJEheUVbUmkhBCil6qx17C5YjN6rZ5YU2yow+mWYmq+ZuD389DgxRqVz5e+P5KQMIqe0Irf4/OwavcqXv/xdb4p/qbZ+FhTLKf0P4XTBp7G0JShYfkjRwjR8RweBxaXBbvbjkajIdIQSVp0GimRKcSYYog2RveaJuKSSAkhRC9kc9vYXLEZp9dJRnRGqMPptixxI7HFDMYRmcOu/rdi31hDQqiDOoQySxlv/vQmy35aRrW9OmicTqNjfM54Tht4GifknNBrfuwIIQ6f1+fF6rZicVnw+DyY9CZijbH0S+hHnDmOWFNsr20WLomUEEL0Mh6fhx8rf6TSVkl2bHaow+l2NF4HSmsCjQalM7Gt8HF8ukh8PhXq0A7qh/IfeOGHF/hk1yf4lC9oXJ/YPpw9+GxOzz+dxIjEEEUohOgpXF4XFpcFU4aJUksp0cZocuJySIpMIs4UR7QxWq5iI4mUEEL0Or/U/sL3P3xPwZCCHtfVbGfTO6sYsOlGGhKOoaTftQD49E29SHW/RMrj8/Dprk954YcX+KHih6BxOo2OE3NP5JyCcxiXNU72tRCiRYGe9Rw2AIobijEYDEQbozl29LEkRCQQb46XK9gtkERKCCF6kTJLGdurt2MrsWEYbgh1ON2Kybabgd/PxeQowegooaLPBXiM3bMhn8PjYG/DXua/PJ9SS2nQuMSIRM4pOIffDv4tqVGpIYpQCNGdeX1eLC4Lja5GfMqHWW8mQhcBwKiMUcRHxhNtjEan1YU40u5NEikhhOglrC4rP1X+hFajDYtuZzuS2bKD/I2/x+CuxhGRzY7h/+qWSZTVZeXVLa/ywg8vMNUxlVJ+TaL6J/TnouEXcUr/UzDpTSGMUgjRHXl9XhpdjVhcFgCijdH0T+xPYkQiMcYYjBojyzctJzMmE4NBTrS1hXyTCiFEL+D1edlWvY1aRy3ZsdkUURTqkLqNiMafyN/4e/SeemxRA9le+BgeY/e6j6jB2cB/N/2X/27+Lw3OhqBxx2Ufx0XDL2Jc5ji5Z0EIEcTpcWJxWbC5bWg0GmJMMQxMHEhyVHKz5nputzuEkfZMkkgJIUQvsKdhD7vqdpEenS4/tvcTVf8DA76fi95rwRozhO0jHsFriAt1WAEWl4UXfniBF394EavbGijXoCE1KpX/nvpfBiQOCGGEQojuxuFx0OBswOFxYNQZiTXF0jehL/HmeOLN8Rh0crWpo0giJYQQYa7OUcfW6q3EmmLlZuEDmOy70XstWGIL2T7iX/j00aEOCfCfRX51y6ss3rCYemd9oFyn0TF94HRmFc6iam2VJFFCCADsbrs/efI6iNBHkGBOID0mnXhzPLGmWOlsppNIIiWEEGHM4/OwtWorDo+DPjF9Qh1Ot1OTfjo+XRQNCUfj00eGOhw8Pg/vbnuXZ757hnJreaBcp9Fx1qCzmD1yNpkxmQBUURWqMIUQ3YDD46DeUY/T6yTCEEFiZCKZMZnEm+OJMcZI64MuIImUEEKEsaK6Ioobi8mKyQp1KN2GyboLjzEeryEegLqUSaENCH/3w1/u+ZKHvnqI3fW7A+UaNJw64FSuGnMVfWIlERait3N73dQ767G6rZj15kDylGBOkGc7hYAkUkIIEabqHfVsr91OnClOeunbx2Tbw6CNV+ExxLNtxGN4TMmhDomdtTt56KuHWL13dVD5CTkncO3YaxmYNDBEkQkhugOPz4PFZcHisqDVaIk3x5OflE9iRCKxplhJnkJIvlmFECIM+ZSPHTU7cLgdciVjH4OjjIEbr8XgqsZtSEBpQ3vDdYOzgafXPc2rW17Fq7yB8sK0QuYdPY/CtMIQRieECKUDuyqPNcUyOHkwyZH+3vbk+U7dgyRSQggRhkobS9nbsFceyLqPzt3AwO+vw+QsxRGRw/bCx0LWO59P+Vj20zIeW/tYUEcSaVFp/OHoPzCl3xQ5wyxEL6SUwuq2Uu+sRylFtDE60FV5gjlBetvrhiSREkKIMOPwONhevR2z3iy99AEan5v+m28mwrYLlymNbYWP4zEmhSSWn2t+5p4v7mFj+cZAmUlnYvbI2Vw84mLMenNI4hJChI7NbaPB2YDL6yLKGEVuXC5p0WkkRiTKMbybk0RKCCHCzK66XdQ4asiJzQl1KKGnFLlb7yambh1eXRQ7hj+M25ze5WE4PU4Wrl/I0u+X4vF5AuWn9D+FuePmkh7d9TEJIULH6XHS4GzA5rERaYgkLTqN9Oh0EiMSiTSEvgdR0TaSSAkhRBiptdeys3YnSRFJ0jwM0Luqialbh0LHz0PvxR7d9R03rC1eyz1f3MOehj2BsuzYbG47/jaOyjqqy+MRQoRG031PDc4GjDojiRGJFMQUkBSZRLSxezzDTrSPJFJCCBEmfMrHL7W/4PK5SDXKvVEAHlMyP41eQlTD9zQmHtOly7a5bTz01UO8+dObgTK9Vs+swllcNvIyTHpTl8YjhAgNh8dBnaMOt89NrCmWoalDSYlMIc4cJw/K7eEkkRJCiDBRbimXDiaaKBX4r9uUQl3KyV26+A1lG7jj0zsobiwOlBWmFXLb8bfRP7F/l8YihAgNi8tCnaMOvVZPalQqWbFZJEcmy31PYUQSKSGECANur5ufa37GoDX0+i9pvbOK2NqvSSyrpCZ9epcu2+lx8uS6J/nP9/9B4U/mIvQR/OHoP3B2wdly9lmIMOf1eal31tPoaiTKGEW/hH5kxWaRYE6Q5tZhSBIpIYQIAyWNJVTYKugT07ufGeXvoe8WfvIOJr1oCbWpU7rseVFbq7dy+8rb+bn250DZyLSR3DnxTnmWlxBhzuV1UWOvwe1zk2BOoDCtkLToNLn3KcxJIiWEED2c3W1nR80OYowxvf4hjX1+fojoho0ozVB+HnZ/lyRRSile3vwyD3/9cKBHPoPWwDVjr+Gi4Rf1+n0iRDjz+rzsbdyLFi2pUalkx2WTEpkiz3zqJSSREkKIHq64oZh6Z32v7+48sexdUotfAcAWMwRnZG6nL7PR2chdn93Fyl0rA2X5SfncNfEuBiQO6PTlCyG6nlKKRlcjdY46YrNjyY3LpU9sHxIjEqX5bi8jiZQQQvRgVpeVnXU7iTfF9+r29xGNW8ndtgCAktwrcO9I7vRlbq7czG0f3xbUocTM4TP5/VG/l7PRQoQhr89LnaMOq9tKtDGagpQCMvpmEGeOC3VoIkQkkRJCiB5sb8NeLC4L2bHZoQ4lZLReO/223IbW56Q+cTyleVfAju86bXlKKf676b9BTfliTbHcOeFOTsw9sdOWK4QIDYfHQY29Bp/yEW+OZ2DSQNKi0+TBuUISKSGE6KksLgu763f3+t6gfBoDtSknkVT+HjsL5kMnNq2xe+3ctvI2Pt71caBseOpwFpy8gPTo9E5brhCiayml/N2XO+sw6oxkxmSSFZtFUkSSXHEWAZJICSFED7W3YS9Wl5WkuKRQhxJaWj0l/X5PWc5sfPqoTltMcUMxf97+Z3Y7dgfKLh5xMb8/6vfotfJ1KkQ48Ckf9Y56GlwNRBujyU/MJzM2kzhTXK8+YSVaJkd+IYTogRqdjYGrUb2V3lWNVx8b6JmvM5Oor4u/5taPb6XB2QBAlCGKuybdxYTcCZ22TCFE13F73dQ6anF4HMSZ4yhMKyQ9Op0oY+cdV0TPJ4mUEEL0QMWNxVhdVpLjOr9ThW7J56H/ppvQKC+/DLkHV0TnPKdJKcVLm17i4a8fxqd8AOTG5fLPqf8kLz6vU5YphOg6Do+Dans1CkVKZArD44aTEpmCSW8KdWiiB5BESgghehiLy0JRfRGJ5sRQhxIymbufIbrhBzy6aNB0znOaPD4PD6x+gNd+fC1QNjZ2LPedcR+xEbGdskwhRNdweBxU2arQa/Vkx2bTJ7YPSZFJ0n25aBdJpIQQoocpaSzp1fdGRTZsIX33EgCKBv0Flzmjw5dhdVm57ZPb+HLPl4Gy2SNmc4bmDKKN0R2+PCFE13B4HFTZq9Br9OTG55ITl9PrO+wRh08SKSGE6EFsbhtFdUXEmXrnc0s0Phd5P92JBi81KVOoTZ3S4cuosFZw/QfXs616GwB6rZ6/nvBXpvefTsl3JR2+PCFE57O77VTbq9Fr9eTE5pATl0NiRKIkUOKISCIlhBA9SGljKQ2uBnJic0IdSkhk7HqGCNsvuA2JFA28pcPnv6NmB/OWz6PCWgFAjDGG+6fcz9jMsfi8vg5fnhCic9ncNqpt1Rj1RnLjc8mOzZYESnQYSaSEEKKHcHgc7KrbRawxtlf+CIhs2ER60XMAFOXfitcY36Hz/778e67/4PpAz3xZMVn869R/SacSQvRATVegDDoD/RL7kROXQ7w5PtRhiTAjiZQQQvQQ5ZZyGpwN9IntnB7qujuvPhprzBCcEX2oS5nUofNevWc1f/roTzg8DgCGJA/h4VMfJjGi93boIURPtH8nEn0T+koCJTqVJFJCCNEDuL1udtXtItIQ2Wt7lXJG5rF11LNofa4One/yHcu549M78CovAOMyx3H/lPvl+TFC9CAur4tKWyVatOTE5ZAbnysnQkSnk0RKCCF6gAprBTX2GrJiskIdStdT3l+7ONfq8Wk77qvrjR/fYMEXC1AoAE7uezJ3T7obo87YYcsQQnQej89Dla0Kr/KSGZNJXnweSRFJvbL5s+h6kkgJIUQ35/V5KaovwqQzodN2zjOTui3lI3/DVVhjh1OadyU+XUSHzfqVza9w3+r7AsNnDz6bW8bf0vu2sRA9kNfnpcZeg8PrIC06jX7x/UiJSum1V+xFaEgiJYQQ3Vy1vZpKWyWpkamhDqXLJZe8QUz9BiIt26noc2GHJVIv/vAiD371YGD4khGXMHfcXDmLLUQ3p5SizlFHg6uBpIgkhqcNJz06XU6AiJCQREoIIboxpRR76vegQYNBZwh1OF1K76wi65dHASjuew1uU0qHzHfpxqX8+5t/B4YvG3kZ14y9RpIoIbo5i8tCjb2GWFMsozNGkxmTKc1wRUhJIiWEEN1YnaOOMktZr7xpOvvnh9B7LVijC6jM+l2HzHPJhiU8uvbRwPCVo6/kitFXSBIlRDfW1BOfUWdkUNIg8hLyiDREhjosISSREkKI7qyksQS3141Zbw51KF0qpuYrEis+QKGlaNBtv3Y2cQT+u+m/QUnUNWOvYc6oOUc8XyFE5/D4PFRaK/HhIycuh7z4PBIiEkIdlhABkkgJIUQ3ZXVZKW4s7nXPQNH4XORsvxeAiqzzsMUUHPE8l/20jAfWPBAY/v1Rv+fSkZce8XyFEB1PKUWNvQab20ZaTBr9E/qTEpkiV45FtyOJlBBCdFNlljIsLgu5cbmhDqVLRTZuxeCswmVMpqTv1Uc8v+U7lvP3z/8eGJ4zao4kUUJ0UxaXhWp7NQnmBMakjCEjJgN9Bz7yQIiOJO9MIYTohlxeF3vq9xBjjAl1KF3OGjecTUe/icm+F58++ojm9emuT7nj0zsCz4m6cNiFXD3myJMzIUTHcnvdVNgq0Gv1FCQXkBefR4Sh4x53IERnkERKCCG6oUprJXWOOjJjMkMdSkh4TMl4TMlHNI9vS77l1o9vxau8gP85UTccc4M0DxKiG/EpHzX2GuweO1kxWfRP7N8rO9cRPZMkUkII0c34lI89DXsw6Ay96tkoEZbt6N11NCYcdcTzsrgs3LniTtw+NwDTBkzjz8f/WZIoIbqRBmcDNfYakiKSGJo6lIzojF51zBM9nyRSQgjRzdQ6aqm0VpIceWRXZHoUpcjZ9g+iGzayZ8AfqehzwWHPqsxSxsbyjVi8FgDGZ4/njgl3oNVoOypaIcQRsLvtVNmriDBEMCJtBNlx2b2uZ1IRHiSREkKIbqa8sRyf8vWqB00mVK4gumEjXq2Z2uSTDns+dY46rnv/Oo72Hg3A0JSh/OPkf8jN6kJ0E6WNpWh1Wvol9KNvfF9iTL3vPlARPrrd6bnHH3+cvn37YjabGTNmDJ9//vlB67/wwgsUFhYSGRlJRkYGl156KdXV1V0UrRBCdLxSa2mv6vJc43XQ5+d/AVCWMxu3Oe2w5uPwOLjxwxvZVbcLgJzYHB4+5WG5YV2IEFNKUWOrASA5Kpmj+xzN8NThkkSJHq9bJVIvv/wy119/PX/5y19Yv349J5xwAtOmTaOoqKjF+l988QWXXHIJc+bMYfPmzbz66qusXbuWyy+/vIsjF0KIjmNz2Yg2HllvdT1J2t6XMDrLcZrSKc+eeVjzUEoxf9V8vi//HgCj1sgj0x6Rh3cKEWKNzkaKGoow6AwAjE4fTUqUPBNKhIdu1dbhwQcfZM6cOYFE6OGHH+aDDz7giSeeYMGCBc3qf/XVV+Tl5TFv3jwA+vbty1VXXcV9993X6jKcTidOpzMw3NDQAIDb7cbtdnfk6vQ6TdtPtmP3JPun+3O4HABEaCPweX2duiylVKcvoy107nrSip4DoDjvGrwY4TDievq7p1nxywoAIvQRjEgZQUZURoeuY9O8usN2g+6zDztLe9evu+2ftgjnfWh32zGmGXG4HQxOGExmVCarNq/C5/XJ91A3Jb8T/Nqz/hqllOrEWNrM5XIRGRnJq6++ym9/+9tA+R/+8Ac2bNjAqlWrmk2zevVqJk2axJtvvsm0adOoqKjgvPPOo6CggCeffLLF5dx5553Mnz+/WfmLL75IZGRkx62QEEJ0Yzt37qRv376hDoMhriUMdC+jXpvHp+YH4TA6hFhVu4qHdj8EgAYNt/a9lZSalG6xfp2pu+zDzhLu6we9Yx2F6GlsNhsXXngh9fX1xMbGHrRut7kiVVVVhdfrJS0tuG18WloaZWVlLU5z3HHH8cILLzBjxgwcDgcej4czzzyTRx55pNXl3Hrrrdx4442B4YaGBrKzs5k6deohN5Y4OLfbzYoVK5gyZQoGgyHU4YgDyP7p/jaWbKR4QzHphelodZ3b8rq0tpTM0aF/RpWm8igcu76hvP/1ZCb2aff031d8z2M/PBYYnnfUPH4z/Des+3hdh6+fz+ujbGNZl+yftugu+7CztHf9utv+aYtw24f1jnoanY2kxqTSL74fSRFJgSZ88h3U/ck+8mtqrdYW3SaRanJgm1mlVKvtaLds2cK8efO4/fbbOeWUUygtLeXmm2/m6quvZuHChS1OYzKZMJlMzcoNBkOvftN0JNmW3Zvsn+6p0dlIpaMSAK1O2+k/BDUaTbf4sVmffgoNqSehNHq07bxnorSxlD99/CdcXhcAvxn0G2YWzkSj0XTq+nXF/mmL7rIPO8vhrl932T9tES770O11U24tJ8IQQWFmITnxOa32lCnfQd1fb99H7Vn3bpNIJScno9Ppml19qqioaHaVqsmCBQsYP348N998MwAjRowgKiqKE044gf/7v/8jIyOj0+MWQoiOUGWrwuF2oO1efQB1CaVt/xe2w+PgphU3UWP39wQ2NmMst4y/RW5gF6ILKaWosddg89jIjs1mQOIA4sxxoQ5LiC7Tbb6xjUYjY8aMYcWKFUHlK1as4LjjjmtxGpvNhlYbvAo6nf+J2N3k1i8hhDgkj89DUX0RkYbec59mzta/k1zyOvg87Z5WKcU9n9/D1uqtAPSJ7cO9k+8N9AomhOh8NreNooYidFodYzLGMDJ9pCRRotfpNlekAG688UYuvvhixo4dy7HHHsvTTz9NUVERV199NeC/v6m4uJilS5cCcMYZZ3DFFVfwxBNPBJr2XX/99YwbN47MzPBpcyyECG819hrqHHWkRqTiwBHqcDpdVP0GUkrfRJXqaIwfizMyt13Tv7z5Zd7b8R7g76HvgSkPyA84IbqI1+el0laJUopBSYPom9C3V50EEmJ/3SqRmjFjBtXV1dx1112UlpYybNgw3nvvPXJz/V+ypaWlQc+Umj17No2NjTz66KP88Y9/JD4+npNOOol77703VKsghBDtVm4pBw2t3lMQbjJ3+ntVrco4s91J1PrS9Tz01UOB4dtPvJ0BiQM6ND4hRMssLgvV9mrSotIYmDSQlEh5HpTo3brdt/a1117Ltdde2+K4JUuWNCubO3cuc+fO7eSohBCic9jcNkotpcSb4kMdSpeIrltHbN23+DR6SnPntGvaCmsFt3x8C17lBeDiERczpf+UzghTCLGfpqtQAENShtAvoR9GnTHEUQkRet0ukRJCiN6k2laN1WUlMTYR5Qv/ezszdz0NQFXGb3Cb09s8ncfn4c8f/znQucS4zHH8/qjfd0qMQohfNV2FSo1MZVDyIFKiUkIdkhDdhiRSQggRIkopihuKMevNaDQaFOGdSEXXfktM3Tp8GgNlObPbNe3jax/n+/LvAUiPTueek+/pNU0hhQgFj89DubUcg9bA0JSh5MXnYdI3f3yMEL2ZfAsJIUSI1DnqqLZXk2BOCHUoXeJwr0Z9UfQFS7/3dzKk0+j4x8n/IN4c3xkhCiGABmcDdY46MmMyGZg0kMSIxFCHJES3JImUEEKESJWtCrfX3WvO8hb3m0t60SLKcma1eZpySzl3fHpHYHjuuLkMSx3WGeEJ0et5fV4qbBXotXpGpI0gNz5XrvwKcRDy6RBCiBBwe90UNxQTbYwOdShdxho3nJ+HP3Toivt4fB7+8slfqHfWA3BCzglcNPyizgpPiF7N7rZTYasgLSqNwcmDSYpMCnVIQnR7kkgJIUQI1DpqqXfWkx7d9iZuPZZScBhdJD+17ik2lG8A/PdF3TnhTulqWYgOppSi2l6Ny+tiUNIgBiQO6DVXyYU4UpJICSFECPSmZ0cN+OEPOCJzKc2Zg9cY36Zpvi35liUblgD++6LuOekeeeiuEB3M4/NQZikj2hjN8LThZERnyMkKIdpBG+oAhBCit7G77ZRZyogzhn9iEFW/kbia1aQUv4rW52zTNI3ORu749I5AL4bXjL2GEWkjOjNMIXodh8dBcWMx6dHpHJV1FJkxmZJECdFO4X8qVAghupkaew0Wl4Xs2OxQh9Lp0ouWAFCdfjpuc1qbpvnHl/+g3FoOwJiMMVw84uLOCk+IXqnOUYfFZSE/MZ/85Hx5uK4Qh0kSKSGE6EJKKUoaSzDqjGF/9tds2UF89ecotJRnX9KmaZbvWM4HP38AQLQxmvkT56PT6jozTCF6DZ/yUWYpw6gzMjJ9JNlx2Wg10jhJiMMliZQQQnQhi8tCla2KOFP4N+truhpVm3IyzsicQ9YvbSzlH1/+IzB86/G39o7OOIToAg6Pg3JrOamRqRSkFEivfEJ0AEmkhBCiC1Xbq7F77KRGpYY6lE5ltO8lseJDgDY9N8rr83LHp3dgcVkAmDZgGqf0P6VTYxSit6iyVeH0OhmYOJCBSQMx682hDkmIsCCJlBBCdBGf8lHcUEyUISrUoXS6tD0voMFHfcKx2GMGH7L+fzf/l+/KvgP8XZ3fMv6Wzg5RiLDn8XkobSwlxhTDsNRh0qGEEB1MEikhhOgidY46au21vaJJTVnupSitkdrkSYesW1RfxONrHw8Mz584v1c9qFiIzmB1WamyV5Edm83g5MHEmGJCHZIQYUcSKSGE6CLVtmrcPnev6CHLbUpl74AbDlnP6/Myf9V8nF5/1+jnDz2fMRljOjs8IcKWUooqWxVun5shKUPon9Afg84Q6rCECEuSSAkhRBfw+DyUNJaE/5UWpaAdTYde3vwyG8s3ApAVk8Xvj/p9Z0UmRNhzeV2UW8uJNcVSmFxIenS6NOUTohNJIiWEEF2g1l5LvbOetKi2PUupp0rd+yIxtWspy70Ma9zBH6JbVF/EY2sfCwzfPuF2IgwRnR2iEGGp1l6LxW0hJy6H/KT88D9pI0Q3IA8PEEKILlBprUQphV4bxuevfB5S975EfM0XmK2/HLyq8nHXqrsCTfpmDJ0hTfqEOAwur4ui+iIARmeMpjCtUJIoIbpIGH+jCyFE9+Dyuii1lBJjDO+bvROqVmJyluE2JFCTNu2gdV/d8iobyjcA/iZ91x11XRdEKER4qXPU0ehqJC8+jwGJA6RDCSG6mCRSQgjRyWrsNVhcFjKiM0IdSudRirQ9/wGgMut3KJ2p1arllvKgJn1/O/Fv0qRPiHbw+ryUWcsw6U2MSh9Fdlw2Wo00MhKiq0kiJYQQnazCWoFGo0Gn1YU6lE4T1bCRqMbN+DRGKjPPPWjd+1ffj81tA+A3g37D2MyxXRGiEGHB6XFSZi0jPTqdguQCEiISQh2SEL2WJFJCCNGJHB4H5ZZyYo2xoQ6lU6XteQGA6vTpeIyJrdb7dNenfLr7UwCSIpKYd/S8rghPiLBgdVmptlfTL6Efg5MHY9abQx2SEL2aJFJCCNGJauw1WF1W+sT2CXUoncZo30t81acAVPS5oNV6FpeF+1bfFxi+8dgbiTWFd4IpREepc9RhdVsZkjKEAYkDwvoKtxA9hSRSQgjRicot5ei1+rB+lovbmExR/q1EWLbjiOrfar0nvn2CCmsFAMf1OY6p/aZ2VYhC9GiV1kp8+ChMKyQnLiesjydC9CSSSAkhRCexuqxU2CrCvictpTNTlXn2QetsqtjEK5tfAcCkM3HL+Fvkx6AQh6CUotRSillvZmTaSNKj00MdkhBiP5JICSFEJ6l11GJ1WUmKTQp1KCHl9XlZ8MUCFAqAq8deTVZsVoijEqJ78ykfJY0lxJvjGZ42nMSI1u89FEKEhvSVKYQQnaTMUoZJZwrfKy/KS//vrye5+DU0+x6s25I3f3qTrdVbARiYOJALhrV+H5UQAjw+D3sa9pASlcLojNGSRAnRTUkiJYQQncDislBlqwrrzhTiqlcTX/MFWTsfh31Xmw5U56jj8W8fDwzfMv4W9FppDCFEa9xeN8WNxfSJ7cPI9JFh3zRYiJ5MEikhhOgENfYa7G47kYbIUIfSaVKKXwagKuMslK7lbpgf/eZRGpwNAEwfMJ2R6SO7Kjwhehynx0mJpYTcuFwK0wrD+vghRDiQ04JCCNHBlFKBZn3hymTbRVztVyg0VGae02KdTRWbeGvrWwBEGaLkmVFCHITNbaPSVkm/hH4MTRmKQWcIdUhCiEOQREoIITqYxWWhxl4T1s36UotfBaA+6XhcEc2fkeX1ebnvy/sCHUxcOeZKkiOTuzRGIXqKekc9ja5GBicNJj85X5q/CtFDyCdVCCE6WK2jFrvbTkpkSqhD6RRaj5WksncBqMia0WKdt7a+xZaqLQD0S+jHjKEt1xOiN1NKUW4pBw2MSBtBXnxe+HZOI0QYkkRKCCE6UG9o1pdU/j90XiuOiFwaE8Y1G9/obOSxtY8FhqWDCSGa8/q8ODwOIgwRDE0dSmpUaqhDEkK0k3yzCSFEB7K6rdTYa8K6py1bdD51SSfQkHgcaJr3WfTs+mepd9YDMLX/VMZkjOnqEIXo1txet79TifxcxmSOCetmwEKEM0mkhBCiA9Xaw7tZH4A1biQ/Dx/Z4rii+iJe3uzvzc+kMzFvnHQwIcT+HB4H5dZy+sb3pWBgAWZ9yz1eCiG6P0mkhBCiA5VbyzHqjKEOI2T+/fW/8fg8AFw0/CLSo9NDHJEQ3YfFZaHWXkt+Yj6DUwZLk1chejh5jpQQQnQQm9tGtb2aGGN4NuvTO6vI/OUxjPbiFsd/W/Itn+7+FICkiCRmj5zddcEJ0c3V2mtpcDYwNHUoBSkFkkQJEQYkkRJCiA7S1KwvXB+imVz2FhlFi+n74+3Nxnl9Xh786sHA8O+P+n3Ybgch2qOpAxqv8jIyfSQDEgeg0+pCHZYQogPI6RAhhOgglbZKdBpdeHZfrLwklywDoDLzt81Gv7v9XbZVbwNgUNIgTs8/vSujE6Jb8ikfJY0lxJpiGZY6jJSo8L13UojeSBIpIYToAA6Pg0prZdg264ut+QqTsxSPPpbalMlB42xuG4+vfTwwfOOxN6JtoTc/IXoTj89DSWMJqVGpDE8bLj3zCRGG5JtOCCE6QJ2jDqvbSpQxKtShdIqUkjcAqE47DaUL7mXshR9eoNpeDcCkvEnS3bno9dxeN8WNxWTFZjEqY5QkUUKEKbkiJYQQHaDSWolWow3LKzEGRzlx1Z8DUJV5dtC4GnsNz3//PAA6jY654+Z2eXxCdCdOj5NSayn94vsxJGUIJn34PpxbiN5OEikhhDhCLq+LCmsF0YboUIfSKZLL3kKDj8a40Tii+gaNW7h+ITa3DYDfDv4tOXE5oQhRiG7B7rZTaatkYOJACpILMOgMoQ5JCNGJwu/UqRBCdLE6Rx0Wl4VoY3gmUqDBq4ui8oCrUXsb9vL6j68DEKGP4PLRl4ciOCG6BavLSpW9ikFJgxiaMlSSKCF6AbkiJYQQR6jGXgMQtl0al+ZdQXn2TJQm+Cvj8W8fDzx8d+aImSRHJociPCFCrtHZSL2znoLkAgYmDQzLJr5CiOYkkRJCiCPg8XkobSwN46tRfj5dRNDwj5U/8uHPHwKQYE5g5vCZoQhLiJCrd9RjdVsZljqMfgn9wvPxB0KIFskpEyGEOAJ1jjoaXA1hmUjpnVVE1W8ApZqNe2TtI4H/Xz768rDtrVCIg6lz1GFz2xieNlySKCF6IUmkhBDiCFTbqlE+hV4bfhf4U0peZ/D6y8ndendQ+Vd7v+Kb4m8AyIrJ4uzBZ7c0uRBhrcZeg8PjoDC9kLz4PEmihOiFwu+bXwghuojX56XMUhaeV2N8HpJLlwHQkHB0oFgpxRPfPhEYvmbsNXJTveh1Kq2VKBQj00eSFZsV6nCEECEiV6SEEOIw1TnqqHfWh+XDNuNq1mB0VeI2xFOXMilQ/kXRF2yu3AzAwMSBTO0/NVQhCtHllFKUWcrQarWMyhglSZQQvZxckRJCiMNUY6/B6/OGZbO+pLK3AahJm47SGgH/j8gn1z0ZqHPVmKukdzLRa/iUj5LGEuJMcQxLGya9VAohJJESQojD4fV5KWksIcoQfs369K4a4qs/A6Aq/cxA+cpdK9lavRWAguQCJuROCEl8QnQ1j89DcWMx6dHpDEsdFpZXoYUQ7SeJlBBCHIZ6Zz2NzsawPCudWP4eGuXFGjMER/QAwH82/ql1TwXqXDXmKrm5XvQKbq+bEksJ2bHZDE0dSqQhMtQhCSG6CUmkhBDiMNTaa3H73GHZ0UJsrb9Hvv2vRq34ZQU/1/4MwPDU4YzPHh+S2IToSk6PkzJrGX3j+zIkZQgmvSnUIQkhuhFJpIQQop2a7pUI1zPTO4Y/TEztWmwxQwB/s6an1z0dGH/12KvlapQIew6Pg3JrOf0T+jMkZUhYnjQRQhwZSaSEEKKdGpwNNDgbSIxIDHUonUOjpTHx1y7Pl+9Yzu763QCMTh/NuMxxoYpMiC5hdVmpsdcwKGkQg5IHhWWHMkKIIydHBiGEaKdaey0urwujzhjqUDqWz+P/u9+PRo/PwzPfPRMYlqtRItw1Ohupd9YzOGUwAxMHotPqQh2SEKKbkn5rhRCiHZRSlFpKw7JZX2LlCkasmU5a0fOBsne3vUtxYzEA47LGMTpjdKjCE6LT1TnqaHA1MCx1GIOSBkkSJYQ4KLkiJYQQ7dDgbKDWXku8OT7UoXS4pNK3Mbhr0PocgL+3smfXPxsYf82Ya0IVmhCdrtZei8PjoDCtkJy4HLnyKoQ4JEmkhBCiHeocdTi9Tsx6c6hD6VBGezGxdWtRaKhOPx2A/23/H2WWMgDGZ49neNrwUIYoRKepsdfg8rooTC8kOy471OEIIXoISaSEEKKNmpr1RegjQh1Kh0sqexeAxoRxuMwZeHwelmxcEhh/xegrQhSZEJ2r0loJGhiZPpKs2KxQhyOE6EEkkRJCiDayuCzU2muJMcaEOpSOpXwklb0D/PrsqBW/rGBvw17Af2/UsNRhIQtPiM6glKLMWoZJZ2JE2gjSotNCHZIQooeRziaEEKKN6hx12D12IgzhdUUqpnYtJmcZHn0MdckT8Skfi9YvCoyfM2pOCKMTouN5fB72Nu4lxhjDmMwxkkQJIQ6LXJESQog2KreWY9KZQh1Gh0suexuAmtRTUToTK3d+zM66nQCMTBvJ6HTpqU+ED7fXTYmlhMyYTIanDifKGNXuefh8PlwuVydEF77cbjd6vR6Hw4HX6w11OKIFvWkfGY1GtNojv54kiZQQQrSBzW2j2l4dfs36gLKcWbiNyVSnTUcpxcL1CwPj5oyaI72XibDRlETlxuUyNHXoYXUa43K52LlzJz6frxMiDF9KKdLT09mzZ48cU7qp3rSPtFotffv2xWg8sudBSiIlhBBtUOeow+aykRSbFOpQOpw9Op+9A/IB+LLoC7ZVbwNgSPIQjulzTChDE6LDNCVRfeP7MjR16GE9UFspRWlpKTqdjuzs7A45o91b+Hw+LBYL0dHRst26qd6yj3w+HyUlJZSWlpKTc2SPOpBESggh2qDSWoleqw/rs3RKqaDnRl026rKwXl/Re7i8LkotpUeURAF4PB5sNhuZmZlERobfQ7k7U1NzSLPZHNY/0nuy3rSPUlJSKCkpwePxYDAYDns+4b2VhBCiAzg9TiqtlWHXrM9oLyHvx9uJqf0GgLUla9lUsQmAAYkDODH3xFCGJ0SH6KgkCgjcN3KkzYGEEKHV9Bk+0nvB5IqUEEIcQp2jDovLEnbPmEksf4+k8vcwOKtoTBgXdG/UZSMvQ6uRc22iZ3N4HJRby+mX0I+hKUMx6A7/zPP+5EqtED1bR32GJZESQohDqLHXoNFowiuxUIqk8vcAqE6fzoayDawrXQdATlwOJ/c9OZTRCXHE7G47lbZKBiQOYEjKEPRa+ckjhOhYYfSrQAghOp7H56HcUk60MTrUoXQonacRs70Ir9ZMXfJJLN6wODDu0pGXotPqQhidEEfG5rZRZasiPymfoSlDJYkSQnQKSaSEEOIgGpwNNLoawy6RMjrLAKhLmcS2hhK+3PMlAOnR6UwbMC2UoQlxRGwu/6MKBqcMpiClQE4KALNnz0aj0fCPf/wjqHzZsmVBTZyUUjz99NMcffTRREdHEx8fz9ixY3n44Yex2WxdHbYQ3Z4kUkIIcRC19lq8Pm9YndHW+FwYneUAVKedxvPfPx8YN3P4zLBaV9H71NprKUguID8pv9s2x/X5YNs2WLvW/7crHkllNpu59957qa2tbbXOxRdfzPXXX89ZZ53FypUr2bBhA3/729946623+PDDDzs/SCF6mG53hHn88cfp27cvZrOZMWPG8Pnnnx+0vtPp5C9/+Qu5ubmYTCb69+/PokWLuihaIUQ4U0pRZikjwhAR6lA6VFz1l2h8HlzGFLYbcli+Y7m/3BTHWYPOCnF0QhyeRmcjAAUp3TuJWr8ebrwR5s6Fm27y/73xRn95Z5o8eTLp6eksWLCgxfGvvPIKL7zwAi+99BK33XYbRx11FHl5eZx11ll88sknTJo0qXMDFKIH6lZHmZdffpnrr7+ev/zlL6xfv54TTjiBadOmUVRU1Oo05513Hh9//DELFy5k69atvPTSSwwePLgLoxZChKtGVyP1zvqwa9YHPny6CGrSTuWlzS/jVf7uX3835HdhlzSK3qGpZ02Avgl9u22veuvXw113wbp1kJgIAwf6/65b5y/vzGRKp9Nxzz338Mgjj7B3795m41944QUGDRrEWWc1P5mi0WiIi4vrvOCE6KG6VfuNBx98kDlz5nD55ZcD8PDDD/PBBx/wxBNPtHgGZfny5axatYpffvmFxMREAPLy8g66DKfTidPpDAw3NDQA4Ha7cbvdHbQmvVPT9pPt2D3J/mm/GksNTqcTo9mIz9v5bW+altHZy6pJnER9fCxb0nJ587NzATDpTJw7+NwuWc+uoJTq8HXpqv3TVp2xjt1JW9evxlaD2+dmSNIQNm/fjMfj6bREyu12++Py+fC1sz2ezwdLlmiorISCAmgKMSYGBg+GH3+E556D4cMVHf0sVKUUSinOOussRo4cye23386zzz4bWAefz8f27dvJz89v93q1J4amv521DHFketM+8vl8KKVwu93odMH3Ubbnd1K3SaRcLhfr1q3jz3/+c1D51KlTWb16dYvTvP3224wdO5b77ruP559/nqioKM4880zuvvtuIiJaPqu6YMEC5s+f36z8ww8/lKeUd5AVK1aEOgRxELJ/2keLlhJKunSZZRvLOn0ZjnoHiz99EZvHfwP5pPhJOH50dPm6dhZHnYOS7zpnXbpi/7RFZ65jd9De9dvMZqBzj3F6vZ709HQsFgsul6td0+7YoeWHHyJIS/PR0u+0tDT4/nstGzbYGTCgY3/Eut1uPB4PDQ0N/PWvf+Wss87iyiuvxG63A/6Tyl6vF6/XGzjB3FkaGxs7df7iyPWGfeRyubDb7Xz22Wd4PJ6gce3pWKXbJFJVVVV4vV7S0tKCytPS0igra/lL65dffuGLL77AbDbz5ptvUlVVxbXXXktNTU2r90ndeuut3HjjjYHhhoYGsrOzmTp1KrGxsR23Qr2Q2+1mxYoVTJkyBYOhYx56KDqO7J/2cbgdrN67GpPORJQxqkuW6fP6KNtYRnphOlpd57S8jq1dQ2PsKIprinmv0v8cKa1GyxWTriAzNrNTlhkKpbWlZI7u2PXpiv3THp2xjt3Jodav3FKOUWdkaOpQUqNSu+QY53A42LNnD9HR0ZjN5nZN6/WCx6MhPh50LXQkGBcHlZXg9UbT0T9HDAYDer2e2NhYpk2bxtSpU1mwYAGzZs0CIDY2lkGDBrF169ZO+y2klKKxsZGYmJhu2/Syt+tN+8jhcBAREcGJJ57Y7LPcnpMJR5RIud1uysrKsNlspKSkBJrXHYkDd5xSqtWd6fP50Gg0vPDCC4G2uw8++CDnnnsujz32WItXpUwmEyaTqVm5wWCQH5cdRLZl9yb7p22qndXYfXaSopK6/AtFq9N2yg91k203gzb9AY8+jncsc6mx1wBwUt5J5CbkdvjyQkmj0XRastNZ+6e9OnMdu4PW1q+pExiz0UxheiEpUSlB4zvzGOf1ev1xabVo29n+LiEBIiLAZqPFRMlu949PSNB0eNM+jUYTiBvg3nvvZeTIkQwaNAgArVbLRRddxPnnn88777zT7D4ppRQNDQ1HdJ9UU1Ox/eMQ3Utv2kdarRaNRtPi8aI9x492byWLxcJTTz3FxIkTiYuLIy8vjyFDhpCSkkJubi5XXHEFa9eube9sSU5ORqfTNbv6VFFR0ewqVZOMjAyysrKCPtgFBQUopVq8kVIIIdqq2lYd+PERLpLK/VegGmKGUtTw6zHy4sKLQxWSEO2ilKLUUkqEIYJRGaOaJVHd2YAB/nuj9u6FfbeiBCjlLx8yxF+vsw0fPpyLLrqIRx55JFB23nnnMWPGDC644AIWLFjAt99+y+7du3n33XeZPHkyK1eu7PzAhOhh2pVIPfTQQ+Tl5fHMM89w0kkn8cYbb7Bhwwa2bt3KmjVruOOOO/B4PEyZMoVTTz2V7du3t3neRqORMWPGNGvbvGLFCo477rgWpxk/fjwlJSVYLJZA2bZt29BqtfTp06c9qyaEEAEen4dyaznRhjDqrU/5SCzzJ1IvqzzsHv+9EWMzxjI0ZWgoIxOiTbw+L8WNxcSaYhmdMZqkyKRQh9QuWi3MmgXJyf6OJRoawOPx//3xR3/5JZfQ4VejWnP33XcHOhcA/1WIF198kQcffJA333yTCRMmMGLECO68807OOussTjnllK4JTIgepF1N+1avXs3KlSsZPnx4i+PHjRvHZZddxpNPPsnChQtZtWoVAwcObPP8b7zxRi6++GLGjh3Lsccey9NPP01RURFXX3014L+/qbi4mKVLlwJw4YUXcvfdd3PppZcyf/58qqqquPnmm7nsssta7WxCCCEOpd5Rj8VlIS2q5avhPVF0/XpMzlI82kge37WBofiP45cUXhLiyIQ4NI/PQ0ljCWnRaQxLHUasqWfe0zxqFNx+u793vh9/hJISMJth7Fh/EjVqVOcsd8mSJc3KcnNzcTgcQWVarZarr7468LtLCHFw7UqkXn311TbVM5lMXHvtte0OZsaMGVRXV3PXXXdRWlrKsGHDeO+998jN9bfdLy0tDXqmVHR0NCtWrGDu3LmMHTuWpKQkzjvvPP7v//6v3csWQogmtfZaqndVkzU8K9ShdJikfVej3jeNZlPlFwxlOAMSB3Bsn2NDHJkQB+f0OCmzlpEbl8uQlCE9/llno0ZBYSHs2AH19f5OJgYM6LorUUKIjnPYnU009erR0a699tpWk7CWzqgMHjxYunMWQnQYn/JRZimjsbgRWr743uNovE4SKj8C4N9VvzaFvnjExWF1D5gIPw6Pg3JrOf0S+jE0ZSgGXXh0lKPVQn5+qKMQQhypwz7/ccIJJ7TaLbkQQvRUFpeFBlcDek23eTrEEYuuX4/Oa+VHkvi4ZCMARp2Rqf2mhjgyIVrn8/kot5YzMHEgw1KHhU0SJYQIH4edSI0dO5ajjz6an376Kah8/fr1TJ8+/YgDE0KIUKhz1OHwONBpW3jQSw/VmHgMm8a9wQLfcBT+m8v7xPSRH6ai23J5XZgyTQxIHEBBSgF6bfic2BBChI/DTqSeffZZLrvsMo4//ni++OILtm3bxnnnncfYsWNbfE6TEEL0BBXWCky68DuGVesTeb3oGwBMOhOZMeH7IFfRszV1LDFqxCgKkiWJEkJ0X0d0dLrjjjswGo1MmTIFr9fLKaecwtq1axk9enRHxSeEEF3G5rZRY68h2hhO3Z4r0GhY9tMybG4bAKfnn47BLlejRPfT1MV5blwuQ1PD554oIUR4OuxEqrS0lAULFvDss88yZMgQfvrpJ84//3xJooQQPVa9ox6by0ZibGKoQ+kw/TfdiBstL/+wOVB2wbALqFpbFcKohGjOp3yUNJaQEZ3B0NShGHXGUIckhBAHddiJVL9+/Rg8eDCvvvoqp512Gh988AHnnXcee/fu5ZZbbunIGIUQoktU2arQaDRh05Od3llFXPWXvNboo9R/MYrx2ePJi8+jCkmkRPehlKLEUkJSZBLD04b3+C7OhRC9w2EnUosXL+b8888PDJ9yyimsXLmS008/nd27d/P44493SIBCCNEVXF4XFdYKYowd/1iHUEmo/AgNPh5ojAT8mdQFwy4IbVBCHKApiYozxjEibUR4Na0VQoS1w+5sYv8kqsno0aNZvXo1n3766ZHEJIQQXa7eUY/FZQmrH3GJ5cv52gHfWP1JVP+E/hyddXSIoxLiV01JVKwxlpEZI4kzx4U6JCGEaLMOf452Xl4eX375ZUfPVgghOlWNvQalVNh0e26y7SG6cRMP1f5adsGwC8Km2aLo+QJXokxxjMwYSbw5PtQhhb3Vq1ej0+k49dRTg8p37doVaNZ84Ourr74KUbRCdH+d0qdoQkJCZ8xWCCE6hdfnpcxSRpQxKtShdJiEig8ocsNrln3D5gSmDZgW2qCE2EcpRamllDhTHIXphb0vifL5YMcOqK+HuDgYMAC0HX5uu5lFixYxd+5cnn32WYqKisjJyQka/9FHHzF06NCgsqSkpE6PS4ieSh7OIITo9RqcDTQ6G0mOTA51KB1DKZLK3+f2evDuKzp3yLmY9OH3fCzRM5VaSok2RjMibUTvS6LWr4fnnoMffwSHA8xmKCiAWbNg1KhOW6zVauWVV15h7dq1lJWVsWTJEm6//fagOklJSaSnp3daDEKEmyM6/fHll1/idDqb/V8IIXqSOkcdbp87fJ5Zo7zsTj2TZxr8zRQNWgPnFpwb4qCE8CuzlBFpiKQwvZCEiF7WgmX9erjrLli3DhITYeBA/9916/zl69d32qJffvllBg0axKBBg5g5cyaLFy9GKdVpyxOiNziiRGratGkUFxc3+78QQvQUSinKLGVE6MOou2Wtnucc0dR5/dejTul/CkmR0jxHhF65pRyjzkhheiGJEeHzvLY28fn8V6KqqvxXoGJjQafz/y0o8JcvXeqv1wkWLlzIzJkzATj11FOxWCx8/PHHQXWOO+44oqOjg15er7el2QkhOMKmffufyZCzGkKInsjislDnqCPWFBvqUDqMUoqXN78cGD5/WPNeVoXoalW2KnQ6HYXpheHTjLY9duzwN+fr0wcO7PRFo/GXb9nir5ef36GL3rp1K9988w1vvPEGAHq9nhkzZrBo0SImT54cqPfyyy9TUFAQNK1OFx4d8AjRGeQeKSFEr1bnqMPhcZAalRrqUDpERONWNu5azi+1vwAwIm0Eg5MHhzgq0dtV26rxKR8j00aGzWet3err/fdERbXSqU1kJJSU+Ot1sIULF+LxeMjKygqUKaUwGAzU1v7atWd2djYDBgzo8OULEa46v4sYIYToxsqt/qZG4SKl5DVe++H5wPCMoTNCGI0Qv96DOCJtBBkxGaEOJ3Ti4vwdS1itLY+32fzj4zr2WVoej4elS5fyz3/+kw0bNgReGzduJDc3lxdeeKFDlydEbyJXpIQQvZbNbaPGXhM2D+HV+Nw0lqxg2b7faUkRSZyUd1JogxK9Wp2jDrvbTmF6IVmxWYeeIJwNGOC/F2rdOv/f/Zv3KQV798LYsf56Hejdd9+ltraWOXPmEHdAknbuueeycOFCTj/9dACqq6spKysLqhMfH4/ZbO7QmIQIF3JFSgjRa9U76rG5bEQZwuP5UbE1a3im2kLTrernFJwTPj0Rih6nKYkakT6C7LjsUIcTelqtv4vz5GT/vVINDeDx+P/++KO//JJLOvx5UgsXLmTy5MnNkiiAc845hw0bNlBTUwPA5MmTycjICHotW7asQ+MRIpzIFSkhRK9VZatCq9GiOfDG7x4qovR/PLPv9gq9Vs/ZBWeHNiDRazUlUcPThpMTl3PoCXqLUaPg9tt/fY5USYm/Od/Ysf4kqhOeI/XOO++0Om706NGBzsKk0zAh2k8SKSFEr+TyuqiwVhBjigl1KB1C67GxfNcqqvddjprcd3Lv7BlNhFytvRan18mI9BGSRLVk1CgoLPT3zldf778nasCADr8SJYTofEeUSN12220kJiY2+78QQnR3dY46LC4LGdHhcfN7XNWnPFbrCQxLJxMiFGrsNbi8LkakSXO+g9JqO7yLcyFE1zuiROrWW29t8f9CCNHd1dj99wTotOHxjJRNJV+x3un/f0FyAcNSh4U2INHrVNmq/F2cp4+UjiWEEL2CXEcWQvQ6Hp+Hckt52HQyAfBYXfDVqHC570v0DJXWSgDpnU8I0atIIiWE6HUanA00OBvC5v6oSmslH//yMQDx5nim9JsS4ohEb1Jlq0Kj0VCYXkhmTGaowxFCiC7T7kTq9ddf74w4hBCiy9Taa/H6vOi14dHfzrLNL+FVXgB+O/i3mPSmEEckeotqWzUKRWF6IenR6aEORwghulS7E6kLL7yQhx566KB1pAtNIUR3pZSitLGUCENEqEPpEBprEW9tWgqATqPj3IJzQxyR6C3qHHW4fW5GpI2QJEoI0Su1O5F6++23ufPOO5k3b16zhMnr9bJkyRIKCgo6LEAhhOhIDc4GGlwNRBujQx1Kh/jyhyco81+MYmLeRNKi00IbkOgVLC4LVreVYanDpDmfEKLXancidcopp/DZZ5/x5ptvcvbZZ2O323G5XDzxxBMMGDCAG2+8kRkzpNtdIUT3VO+sx+lxYtabQx1Kh/jPz58H/n/e0PNCGInoLRweB7WOWgqSC+Q5UUKIXu2wbhAoLCzkq6++Yvr06RxzzDFUVVXhdru5/vrrmTt3LjEx4XEDtxAi/JRZyjDpwuMeol+KVvCNzQHAwIR+jE4fHeKIRLhze92UW8vJT8ynf2J/6R1SCNGrHVavffX19SxatIji4mK2b99OXV0dH3/8MbfddpskUUKIbsvqslJrrw2bZn3Lflgc+P+50uW56GRen5cSSwm5cbkMSh6EViMd/4qe69NPP0Wj0VBXVwfAkiVLiI+PD0kseXl5PPzwwwet43K5GDBgAF9++WXXBNWKm266iXnz5oU0hu6k3UfBW2+9ldzcXJYsWcI999xDZWUlv/vd75g8eTJr167tjBiFEKJD1DnqsHvsRBoiQx3KEbM4G1lWuh2AaL2JaQOmhTgiEc6UUpRaSsmIzmBIyhAMOkOoQxLtMHv2bDQaDVdffXWzcddeey0ajYbZs2d3fWAHWLJkCRqNJvDKyMjgvPPOY+fOnZ2+7BkzZrBt27Y2129L8tORnn76aXJzcxk/fnygbP9tFR0dTWFhIUuWLOnUOP70pz+xePHiLtknPUG7E6lly5bx73//m23btnHllVcSFRXFkiVLuPLKK5k0aRJvvfVWZ8QphBBHrNJWiU6jC4srNyt+eAbbvg5/pg88LSySQ9F9lVnLiDfHMyx1WNj0eNnbZGdn89///he73R4oczgcvPTSS+TkdJ973WJjYyktLaWkpIQXX3yRDRs2cOaZZ+L1epvVVUrh8XhamEv7RUREkJqa2iHz6gyPPPIIl19+ebPyxYsXU1paysaNG5kxYwaXXnopH3zwQafFkZqaytSpU3nyySc7bRk9SbsTqS1btnDJJZeg0+mCyu+++24efvhhZsyYwaOPPtphAQohREdweBxUWiuJMfb85sdKKV785dfmHecMkQ5+ROcpt5QToY9geNrwsHmIdYfzWFt/eR1tr+uxt63uYRg9ejQ5OTm88cYbgbI33niD7OxsRo0aFVRXKcV9991Hv379iIiIoLCwkNdeey0w3uv1MmfOHPr27UtERASDBg3iX//6V9A8Zs+ezW9+8xseeOABMjIySElJ4aabbsLtdh80To1GQ3p6OhkZGUyaNIk77riDTZs2sWPHjkBzvA8++ICxY8diMpn4/PPPDxkvwHvvvUd+fj4RERFMmjSJXbt2BY1vqWnf22+/zdixYzGbzSQnJ3P22WcDMHHiRHbv3s0NN9wQuCLUZPXq1Zx44olERESQnZ3NvHnzsFp/3WcVFRWcccYZRERE0LdvX1544YWDbg+A7777jh07dnDaaac1GxcfH096ejr9+/fntttuIzExkQ8//DAwfu3atUyZMoXk5GTi4uKYMGEC3333XWD8H//4R84444zA8BNPPIFOp+N///tfoGzQoEE89dRTgeEzzzyTl1566ZBx9wbt7mziYGdyL7/8crKyspgxYwbXXXfdEQUmhBAdqc5Rh9VtJSsmK9ShHLF1pevYWb8bgFHpo+if2D/EEYlwVWWrQq/TMyJtBIkRiaEOp/t65SD3XWZOh4m//ijl9VTw2lqumzoBJn/66/BbeeCsal7vwsN7Xuell17K4sWLueiiiwBYtGgRl112GZ9++mlQvb/+9a+88cYbPPHEEwwcOJDPPvuMmTNnkpKSwoQJE/D5fPTp04dXXnmF5ORkVq9ezZVXXhloitdk5cqVZGRksHLlSrZt28YFF1zAUUcdxVVXXdXmmCMi/FdA90/A/vSnP/HAAw/Qr18/4uPjDxnvnj17OPvss7n66qu55ppr+Pbbb/njH/940OX+73//4+yzz+Yvf/kLzz//PC6XK5BcvPHGGxQWFnLllVdyxRVXBKb54YcfOOWUU7j77rtZuHAhlZWVXHfddVx33XUsXuy/p3X27Nns2bOHTz75BKPRyLx586ioqDhoLJ999hn5+fnExsa2Wsfr9fL6669TU1ODwfBr09vGxkZmzZrFv//9bwD++c9/Mn36dLZv305MTAwTJ05k4cKF+Hw+AL788kuSk5NZtWoVp512GmVlZWzbto0JEyYE5jlu3Dj27NnD7t27yc3NPWjs4e6weu07mGnTpjX7QAohRKhV2arQarRhcYP86z++Hvj/OQXnhDASEc6qbdUoFIVphaREpYQ6HNEBLr74Ym699VZ27dqFRqPhyy+/5L///W/Q7zar1cqDDz7IJ598wrHHHgtAv379+OKLL3jqqaeYMGECBoOB+fPnB6bp27cvq1ev5pVXXglKpBISEnj00UfR6XTk5+czdepUPvnkkzYnUnv37uX++++nT58+5OfnU1XlTyrvuusupkyZ0uZ4n3jiCfr168dDDz2ERqNh0KBB/PDDD9x7772tLvvvf/87559/ftB6FhYWApCYmIhOpyMmJob09F8fRn3//fdz4YUXcv311wMwcOBA/v3vfwdiKCoq4v333+err77i6KOPBmDhwoWHfP7qrl27yMxs+XltF1xwATqdDofDgdfrJTExMagJ4EknnRRU/6mnniIhIYFVq1Zx+umnc+KJJ9LY2Mj69esZOXIka9as4aabbuLNN98E/MlwWloagwcPDswjKysrEJckUp1g9GjpglcI0X24vC7KLeVEG3p+b31VtipW7vwYgERzPCf1PekQUwjRfnWOOjzKw8j0kaRHpx96gt7uPEvr4zTBt0JwzsGuPhxwouesXYcbUYuSk5M57bTTeO6551BKcdppp5GcnBxUZ8uWLTgcjkCi0sTlcgU1AXzyySd59tln2b17d+CZoiNHjgyaZujQoUG3gqSlpR2yQ4f6+nqio6NRSmGz2Rg9ejRvvPEG/8/efcdHUacPHP9s32x6L5SQAAkJgRBAFBWwgYh6+sN2FsSCitjRO9vZC56969nQ8xR74yzIKQg2lCrSS4CQ3jfb2/z+WLIQEkogye4mz9vXvszOfGfmmZmdZZ79ltHr9YEyI0eObFe869at46ijjmrRqqo56dqXlStXtqhtOhjLli1j8+bNLZrrKYqCz+ejuLiYjRs3otVqW8Q/aNCgA44WaLfbMRrbfvbhU089xUknnURJSQkzZ87kpptuYsCAAYH5VVVV3H333Xz//fdUVlbi9Xqx2Wzs2LEDgNjYWIYNG8bChQvRaDSo1WquvPJK7r33Xpqamli4cGGL2ijYXUtos+2jZrUH6ZRESgghQkm9vR6Ly0J6VHqwQzlsX6z7GI/ib4Jxdr9j0Gv0B1hCiPYxO83Y3XYK0wrJiG77V3CxF21k8MsepMsuuyzQ/eKFF15oNb+5ideXX34ZqHloZjD4n8H3wQcfcNNNN/HEE08wevRooqOjeeyxx1iyZEmL8ns2MQN/95Dm9e9LdHQ0y5cvR61Wk5qaSmRk62Ow57SDiVdR2t8UsjlZaA+fz8dVV13V5vDgffv2ZcOGDcD+u8m0JSkpidWrV7c5Ly0tjQEDBjBgwAA+/PBDioqKGDlyJPn5+YC/KWF1dTVPP/00mZmZGAwGRo8ejcvlCqzjuOOOY+HCheh0Oo455hji4+MZPHgwP/30EwsXLgzUsDWrq6sDIDlZaqolkRJCdHs1thpQgUatOXDhEOb1efl03QcAqIDTCq8MbkCi27G4LJidZoakDKFPbJ9ghyM6wcSJEwM30SeffHKr+fn5+RgMBnbs2NGqJqLZ4sWLOfroo5kxY0Zg2pYtWzokPrVa3aJG5UAOJt78/Hw+++yzFtN+/fXX/a536NChfPfdd1x66aVtztfr9a1GEhw+fDhr1qzZZ/x5eXl4PB6WLl3KqFGjANiwYUPgWVb7UlRUxEsvvYSiKPtNwgYMGMBZZ53F7bffHhhFe/Hixbz44otMmjQJgJKSkkATyWbN/aQ0Gk1gePVx48bx3nvvteofBfDnn3+i0+kYPHjwfuPuCcK/s4AQQuyHy+uiwlJBtC78Rxv7seRHyu2NAJyY2JuMmPAfOEOEDrvbTr2jnrzkPLLis4IdjugkGo2GdevWsW7dulYjMIO/RuiWW27hpptu4q233mLLli2sWLGCF154gbfeegvw37AvXbqUefPmsXHjRu66666gPUv0YOKdPn06W7ZsYebMmWzYsIF33333gM9buueee5gzZw733HMP69atY/Xq1Tz66KOB+f369WPRokWUlpYGEpNbb72VX375hWuuuYaVK1eyadMmvvjiC6677jrAP/rdxIkTueKKK1iyZAnLli1j2rRpB6z9Ov7447FaraxZs+aAx+Pmm29m7ty5LF26FPCfq7fffpt169axZMkSLrzwwlbba+4n9d///pdjjz0W8CdX//nPf0hOTg7UbjVbvHgxY8aMOaRau+5GEikhRLfW4GjA4rIQpQ///lEfr3k/8PfkgouCGInobhweB1W2KnISchiQMKBbPGtN7FtMTMx+R4B74IEHuPvuu5k1axZ5eXmcfPLJzJ07l6wsf4I9ffp0Jk+ezHnnnceRRx5JbW1ti9qprnagePv27cvHH3/M3LlzKSws5OWXX+bhhx/e7zqPO+44PvzwQ7744guGDRvGCSec0KLp4v3338+2bdvo379/oInb0KFD+eGHH9i0aRNjxoyhqKiIu+66i/T03c3KZ8+eTZ8+fRg3bhyTJ0/myiuvPODzqxITE5k8efJBDZU+ZMgQTjrpJO6++27APzJjfX09RUVFTJkyheuvv77V9mJjYykqKiIhISEwqMSYMWPw+Xxt1vLNmTOn3f3HuiuV0o6Go+eccw4ff/zxQX/BNldBtvUQtVBhNpuJjY2lsbFxv18q4sDcbjdfffUVkyZNatUuWgRfTz0/a6vWsqluE71jerdruaXzlzJy/MgDF+xAPq+PsuVlZAzPQK1p+TvXTvNO/u/9M1GATL2WD6b8dFhNFYOxf12pM/Zvf+cnGDpqH50eJ5XWSgYkDCA/OT9sm8B2xXecw+GguLiYrKysfXb+F23z+XyYzWZiYmJQq4N//YSb1atXc9JJJ7F582aiozunhcXBnKMvv/ySv/3tb/zxxx9oteHbQ2h/13J7coN2HYHZs2fLk4yFEGHD7XVTbinvFrVRn6z7hOZfvc7PPCJsb3ZFaHF73VRYK8iOzyYvOU8+V0KEqCFDhvDoo4+ybds2hgwZErQ4rFYrs2fPDuskqiO16yhERUURFRX+NyRCiJ6h3tE9Rutzepx8vsHfcVgHnFwYvCY0ovvw+DyUWcrIisticPJgtGq5MRIilE2dOjXYIbR4TpiQPlJCiG6sxurvABzuv7J/V/wdjc5dg0xkn0R0/P4f3ijEgfgUH2VNZfSJ6UN+cj46Tc9p7iuEEB1FEikhRLfU3GSpOzTr+2jdR4G/zx781yBGIrqLcks5yaZkBqcMxqA1BDscIYQIS5JICSG6pQZHA03OprBPpDbVbuKPyj8A6B/fn8LUwiBHJMJdtbUak9ZEQWoBJp0p2OEIIUTYkkRKCNEt1dprAcK+38eetVHTkhNkWGpxWBodjXgVLwWpBcQZ44IdjhBChLV2J1KTJk2isbEx8P6hhx5q8UTm2traVg/uEkKIruTxeShvCv/R+iwuC19t+gqASBWc0v/kIEckwpndbcfsNJOXlEdaVFqwwxFCiLDX7kRq3rx5OJ3OwPt//vOf1NXVBd57PB42bNjQMdEJIcQhqLfX0+QK/2Z9X2/+GrvHDsBFMRp86ZJIiUPj8rqoslUxMHEg/eL7BTscIYToFtqdSO39/N52PM9XCCG6RJ29Dp/PF9bN+hRF4aO1u5v1XZB1FD5NRBAjEuHK4/NQbiknKy6L3KRc1Cpp1S+EEB1Bvk2FEN1Kd2nWt6pyFVvqtwBwtBHSs88JckQiHDUPc94ruhd5yXlh/eOCEB1p4cKFqFSqQPeUN998k7i4uKDE0q9fP55++un9lnG5XAwYMICffvqpa4LqBJ11jLdt24ZKpWLlypUArF69mt69e2O1Wjt8W3trdyKlUqladXaWzs9CiFDR4Gig0dVItCE62KEclg/Xfhj4+4oEE+b4o4IYjQhHPsVHqbmUlMgUhqQOwag1BjskESSXXHIJKpWK6dOnt5o3Y8YMVCoVl1xySdcHtpc333wzcJ+pUqlIT0/n3HPPpbi4uNO3fd5557Fx48aDLn8wyU9HeuWVV8jMzOSYY44JTFuwYAHHH388CQkJmEwmBg4cyNSpU/F4PF0W17509fHZ05AhQxg1ahRPPfVUp2+r3T9NKYrCJZdcgsHgf+6Ew+Fg+vTpREZGArToPyWEEF2t1laL4lPC+pf3ens93xd/D0CiGk7oP5HqMN4f0fWaa6KSTEkUphXKMOeCPn368N577/HUU08REeFvJuxwOJgzZw59+/YNcnS7xcTEsGHDBhRFYf369Vx11VX85S9/YeXKlWg0LR+urigKXq8Xrfbwvx8jIiICxyUUPffcc9x7772B92vWrOGUU07h+uuv57nnniMiIoJNmzbx0Ucf4fP5ghdoiLj00kuZPn06t99+e6vPTUdqd43U1KlTSUlJITY2ltjYWC666CIyMjIC71NSUrj44os7I1YhhNgvj89DWVNZ2Dfrm7tpLm6fG4DJ2WNp6n1ukCMS4aQ5iUqISGBo2tCwvx5Exxg+fDh9+/blk08+CUz75JNP6NOnD0VFRS3KKorCo48+SnZ2NhERERQWFvLRR7v7bHq9Xi6//HKysrKIiIggNzeXZ555psU6LrnkEs4880wef/xx0tPTSU5O5pZbbsHtdu83TpVKRVpaGunp6Rx//PHcc889/Pnnn2zevDnQHG/evHmMHDkSg8HA4sWLDxgvwFdffUVOTg4REREcf/zxbNu2rcX8tpqdffHFF4wcORKj0UhSUhKTJ08G4LjjjmP79u3cdNNNrVpq/fzzz4wdO5aIiAj69OnD9ddf36KJWVVVFaeffjoRERFkZWXxzjvv7Pd4ACxfvpzNmzdz6qmnBqbNnz+f9PR0Hn30UQoKCujfvz8TJ07ktddeQ6/Xt9in//73v+Tm5mIymTj77LOxWq289dZb9OvXj/j4eK677jq8Xm9g3fX19Vx88cXEx8djMpk45ZRT2LRpU4uYPv74YwYPHozBYKBfv3488cQTgXn7Oz7gH7guLy+PqKgoJk6cSHl5eYv5s2fPJi8vD6PRyKBBg3jxxRdbzP/tt98oKirCaDQycuRIVqxY0eqYnXzyydTW1vLDDz8c8Pgejnan8LNnz+6MOIQQ4rDV2+sxO81hPbSzT/Hx6YZPA+9PHTETR1TvIEYkwomiKIEkqjCtkBhDTLBD6vZGvjKSCktFl283LSqNpVcubdcyl156KbNnz+bCCy8E4I033uCyyy5j4cKFLcr94x//4JNPPuGll15i4MCBLFq0iIsuuojk5GTGjRuHz+ejd+/efPDBByQlJfHzzz9z5ZVXBpriNVuwYAHp6eksWLCAjRs3cv7553PEEUdw1VVXHXTMzbVEeyZgf//733n88cfJzs4mLi7ugPGWlJQwefJkpk+fztVXX83SpUu5+eab97vdL7/8ksmTJ3PnnXfy9ttv43K5+PLLLwF/AlpYWMiVV17JFVdcEVhm9erVnHzyyTzwwAO8/vrrVFdXc+2113LttdcG7p8vueQSSkpK+P7779Hr9Vx//fVUVVXtN5ZFixaRk5NDTMzu6zktLY3y8nIWLVrE2LFj97mszWbj2Wef5b333qOpqYnJkyczefJk4uLi+Oqrr9i6dStnnXUWxx57LOec4++Le+mll7J582a++OILYmJiuPXWW5k0aRJr165Fp9OxbNkyzj33XO69917OO+88fv75Z2bMmEFiYiKXXHLJPo9PczyPP/44b7/9Nmq1mosuuohbbrklkFC++uqr3HPPPTz//PMUFRWxYsUKrrjiCiIjI5k6dSpWq5XTTjuNE044gf/85z8UFxdzww03tNpvvV5PYWEhixcv5oQTTtjv8T0cndJWZOXKlQwbNqwzVi2EEPtUY6sBwvshvKuaVlHaVArAUb2OoneMJFHi4CiKQqmllDhjnCRRXajCUhG4ZkPdlClTuP322wOd83/66Sfee++9FomU1WrlySef5Pvvv2f06NEAZGdn8+OPP/Kvf/2LcePGodPpuO+++wLLZGVl8fPPP/PBBx+0SKTi4+N5/vnn0Wg05OTkMGHCBL7//vuDTqR27tzJY489Ru/evcnJyaGmxv8df//99zN+/PiDjvell14iOzubp556CpVKRW5uLqtXr+af//znPrf90EMP8de//rXFfhYWFgKQkJCARqMhOjqatLTdP9w99thjXHDBBdx4440ADBw4kGeffTYQw44dO/j666/59ddfOfLIIwF4/fXXycvL2+9x2LZtGxkZGS2mnXPOOcybN49x48aRlpbGUUcdxYknnsjFF1/cIuFyu9289NJL9O/fH4Czzz6bt99+m8rKSqKiosjPz+f4449nwYIFnHPOOWzZsoW5c+fy008/cfTRRwPwzjvv0KdPHz777DPOOeccnnzySU488UTuuusuAHJycli7di2PPfYYl1xyyT6PT3M8L7/8ciCea6+9lvvvvz8w/4EHHuCJJ54I1P5lZWWxdu1a/vWvfzF16lTeeecdvF4vb7zxBiaTicGDB7Nz506uvvrqVsetV69erWoeO1qH3W00Njbyzjvv8Nprr7Fq1aoWVYRCCNHZ3F435ZbwH63vm9pvAn9fnhQLPg+EcWIouk65pZxYfSzD0oZJEtWFglUDfijbTUpK4tRTT+Wtt95CURROPfVUkpKSWpRZu3YtDocjkKg0c7lcLZoAvvzyy7z22mts374du92Oy+Vq9SP64MGDW/RPSU1NPeCADo2NjURFRaEoCjabjeHDh/PJJ58EmqsBjBw5sl3xrlu3jqOOOqpFE7PmpGtfVq5c2ao25UCWLVvG5s2bWzTXUxQFn89HcXExGzduRKvVtoh/0KBBBxzJzm63YzS2HCxGo9Ewe/ZsHnzwQb7//nt+/fVXHnroIf75z3/y22+/kZ6eDoDJZAokLeA/B/369SMqKqrFtOZasQ0bNqDVagOJHkBiYiK5ubmsW7cO8B/PM844o0U8xxxzDE8//TRer3e/fZL2jic9PT2w7erqakpKSrj88stbHHuPx0NsbGxg24WFhZhMu/t97utcRkREYLPZ9hlLRzjsf52///573njjDT755BMyMzM566yzeP311zsiNiGEOGh19jqanE2kR6UHO5RDVmmt5PfG3wHI0MC5bGGTJFHiIFRZq4jQRjA0bSixxthgh9OjtLd5XbBddtllXHvttQC88MILreY3D1Tw5Zdf0qtXrxbzmgca++CDD7jpppt44oknGD16NNHR0Tz22GMsWbKkRXmdTtfivUqlOuBACNHR0Sxfvhy1Wk1qampgMLM97TntYOI9lGeeHsrAEz6fj6uuuorrr7++1by+ffuyYcMGoP2jXSclJbF69eo25/Xq1YspU6YwZcoUHnzwQXJycnj55ZcDNWltnYNDOS+KogTi3vPvPecfjLa23bxscwyvvvpqi0QOCCRn7TmXdXV1LZK2znBI/0Lv3LmTN998kzfeeAOr1cq5556L2+3m448/Jj8/v6NjFEKIA6qyVqFSqdCoO290ns72+YbP8eH/h+SKWDCnnRLkiEQ4qLXVolapGZo2lISIhGCHI0LcxIkTcblcgL9D/t7y8/MxGAzs2LGDcePGtbmOxYsXc/TRRzNjxozAtC1btnRIfGq1mgEDBhx0+YOJNz8/n88++6zFtF9//XW/6x06dCjfffcdl156aZvz9Xp9q9ZXw4cPZ82aNfuMPy8vD4/Hw9KlSxk1ahTgrwFqfpbVvhQVFfHSSy+1mcDsKT4+nvT09MN6flJubi4ej4clS5YEmvbV1taycePGQBPE/Px8fvzxxxbL/fzzz+Tk5AQSnraOz4GkpqbSq1cvtm7dGujHt7f8/Hzefvtt7HZ7INnd17n8888/Ofvss9sVQ3u1e9S+SZMmkZ+fz9q1a3nuuecoKyvjueee64zYhBDioDg8DiosFcTow7c5k8fn4fONnwP+L+ZpMVCX0vomR4g9NTgacPvcFKQUkBKZEuxwRBjQaDSsW7eOdevWtdkEKzo6mltuuYWbbrqJt956iy1btrBixQpeeOEF3nrrLQAGDBjA0qVLmTdvHhs3buSuu+7i999/7+pdOeh4p0+fzpYtW5g5cyYbNmzg3Xff5c0339zveu+55x7mzJnDPffcw7p161i9ejWPPvpoYH6/fv1YtGgRpaWlgb5bt956K7/88gvXXHMNK1euZNOmTXzxxRdcd911gD9JmThxIldccQVLlixh2bJlTJs27YC1X8cffzxWq5U1a9YEpv3rX//i6quv5ttvv2XLli2sWbOGW2+9lTVr1nD66acfyqEEoH///vzlL3/hiiuu4Mcff2TVqlVcdNFF9OrVK9Cc7+abb+a7777jgQceYOPGjbz11ls8//zz3HLLLfs9Pgfj3nvvZdasWTzzzDNs3LiR1atXM3v2bJ588kkALrjgAtRqNZdffjlr167lq6++4vHHH2+1nm3btlFaWspJJ510yMfiYLQ7kfr222+ZNm0a9913H6eeemqnjs0uhBAHo9ZWi8VlCev+UT/u+JFqWzUAp0dCbFIRbmP4jj4oOp/b68bmtjEkdQi9YnodeAEhdomJiWkxIMHeHnjgAe6++25mzZpFXl4eJ598MnPnziUrKwvwJyaTJ0/mvPPO48gjj6S2trZF7VRXO1C8ffv25eOPP2bu3LkUFhby8ssv8/DDD+93nccddxwffvghX3zxBcOGDeOEE05o0XTx/vvvZ9u2bfTv35/k5GTAX4v1ww8/sGnTJsaMGUNRURF33XVXoL8S+Ee/7tOnD+PGjWPy5MlceeWVpKTs/0eQxMREJk+e3KLv1ahRo7BYLEyfPp3Bgwczbtw4fv31Vz777LN91swdrDfeeIMRI0Zw2mmnMXr0aBRF4auvvgo0yxs+fDgffPAB7733HgUFBdx9993cf//9LR7q3NbxORjTpk3jtdde480332TIkCGMGzeON998M3Auo6KimDt3LmvXrqWoqIg777yzzUFD5syZw4QJE8jMzDysY3EgKqWdDUd/+eUX3njjDT744AMGDRrElClTOO+888jIyGDVqlVh17TPbDYTGxtLY2Pjfr9UxIG53W6++uorJk2a1KoNrAi+7nx+lpUto7ypnPTojusftXT+UkaOH3nggh3kuq+v45edvwDwdQbkFd1OTcZZnba9rt6/rtYZ++fz+ihbXkbG8AzUmnb/DtmhGhwN7Nyyk+OOOI7MuM69UQgXXfEd53A4KC4uJisrq1Xnf7F/Pp8Ps9lMTEwManVwr59wtHr1ak466SQ2b95MdHR0p2yju5wjp9PJwIEDmTNnDsccc0ybZfZ3LbcnN2j3URo9ejSvvvoq5eXlXHXVVbz33nv06tULn8/H/PnzaWpqau8qhRDikFlcFmpsNWHdwX6neWcgicrSwkmRauqTTwxyVCJU1dnrcHgcHHfEcfSN7RvscIQQXWDIkCE8+uijnT6cd3ewfft27rzzzn0mUR3pkNNNk8nEZZddxo8//sjq1au5+eabeeSRR0hJSeEvf/lLR8YohBD7VGevw+q2YtKZDlw4RH2y7pPA3+fFZ9OYfBJeXVzwAhIhq9pajVfxUphWSGZcZrtH/xJChK+pU6cyZMiQYIcR8nJyctr10OfD0SH1drm5uTz66KPs3LmTOXPmdMQqhRDigBRFodRcSoS2/cPUhgqX18UXG78A/A8SHpRyN1sHPRjkqEQoqrBUoFFrKEorkgc1CyFECGhXIrVjx479ztdoNJx55pl88YX/pqC0NDye9C2ECE+Nzkbq7HVh/fDR74u/p8HRAMAJmScQJzVRog0VlgoMGgPD0oaRGpUa7HCEEELQzkTqiCOO4IorruC3337bZ5nGxkZeffVVCgoK+OSTT/ZZTgghDletrRaX14VRG76dvj9e93Hg7/P7jYJDeHCk6N6qrdXoNDoK0wpJjjz40a+EEEJ0rnY9kHfdunU8/PDDTJw4EZ1Ox8iRI8nIyMBoNFJfX8/atWtZs2YNI0eO5LHHHuOUU+RhkkKIzuH1edlp3kmkrvVT78PFlrotrKhYAcAgvZqpJQ/yc8T9gAxlLfzq7HWggqGpQyWJEkKIENOuGqmEhAQef/xxysrKePnll8nJyaGmpoZNmzYBcOGFF7Js2TJ++uknSaKEEJ2q3lFPo7MxrEfr+2T97lr7q2N9ePQJ1KrD6xESovM0OBpweV0MSRlCWpQ8U0wIIUJNu2qkmlVWVqLVajn//PMZNWpUR8ckhBAHVG2tRlEUtOpD+hoLOrvbzn83/heACLWai6N91CZPQGkMz/0RHcvsNGNz2xiaOlQetiuEECGq3f9iz5kzh6lTp+LxeFCpVBQVFfH111+366nFQghxOFxeF2VNZUTpo4IdyiGbt2UeVrcVgL9GQZwG1qROgsYgByaCrsnZRJOriSEpQ+Rhu2HC5XXh8Xm6bHtatRa9Rt9l2xNCtK3didR9993HxRdfzB133EFJSQl/+9vfuO2223j99dc7Iz4hhGilzl5Hk6uJXtHh+0v9ns+OujrWh92UjS0yFygPXlAi6CwuC43ORoakDKFfXL9ghyMOgsvr4redv2FxW7psm1G6KEb1HiXJFDBlyhTy8vK44447gh3KIdm2bRtZWVmsWLGCYcOGdei6+/Xrx4033siNN96I0+lk4MCBfPrpp4wYMaJDt9OTtfs5Ulu3buWuu+4iOzubcePG8fbbb/Pee+91RmxCCNGmCksFatSoVR3yKLwut7Z6LWtr1gIwzBTBSAPUpk0Cebhqj2Z1WWlwNDA4eTBZ8VnysN0w4fF5sLgt6NV6ovXRnf7Sq/VY3JZ21YA1NTVx4403kpmZSUREBEcffTS///57izKXXHIJKpWqxeuoo45qUWbmzJkkJCTQt2/fVvd+H3zwAaeffvpBxeNyuXj00UcpLCzEZDKRlJTEMcccw+zZs3G73YF4zjzzzP2u548//uDLL7/kuuuuC0zbunUr559/fmAwtN69e3PGGWewcePGg4qtMx3MPnUWg8HALbfcwq233hqU7XdX7b4L8Xg8RETsfvhlbm4uPp+PioqKDgnoxRdfJCsrC6PRyIgRI1i8ePFBLffTTz+h1Wo7PJsXQoQWm9tGpbUyrAeZ2HPI86ti1aBSUZciA/T0ZHa3nTpHHYOSBtE/ob8kUWHIoDVg1Bo7/WXQGtod27Rp05g/fz5vv/02q1evZsKECZx00kmtnvc5ceJEysvLA6+vvvoqMG/u3Lm8++67fPvtt/zzn//k0ksvpba2FoCGhgbuvPNOXnjhhQPG4nK5OPnkk3nkkUe48sor+fnnn/ntt9+45ppreO6551izZs1B79fzzz/POeecQ3R0dGDd48ePx2w288knn7Bhwwbef/99CgoKaGyUdtMXXnghixcvZt26dcEOpds4pJ9z33rrLX7++WcsFn81tlarxWazHXYw77//PjfeeCN33nknK1asYMyYMZxyyikHfBBwY2MjF198MSeeeOJhxyCECG21tlpsLlvYDnve5Gxi3pZ5AETqIhk8fi4bil7HbZSHrPZUDo+Dals1uYm5DEwcKEmU6FB2u52PP/6YRx99lLFjxzJgwADuvfdesrKyeOmll1qUNRgMpKWlBV4JCQmBeevWreO4445j5MiRnH/++cTExLB161YA/v73vzNjxgz69u17wHieeeYZFi1axHfffcc111zDsGHDyM7O5oILLmDJkiUMHDjwoPbL5/Px4Ycf8pe//CUwbe3atWzdupUXX3yRo446iszMTI455hgeeughjjjiCMDflE6lUvHBBx8wZswYIiIiOOKII9i4cSO///47I0eOJCoqiokTJ1JdXd1ie/fffz+9e/fGYDAwbNgwvvnmmxYxrV69mhNOOIGIiAgSExO58sorA/fK9957L2+99Raff/55oMZv4cKFgWW3bt3K8ccfj8lkorCwkF9++aXFun/++WfGjh1LREQEffr04frrr8dqtQbmV1VVcfrppxMREUFWVhbvvPNOq2OWmJjI0UcfzZw5cw7qGIsDa3cfqWOPPZYHH3yQpqYm1Go1WVlZOBwOXn/9dU466SRGjBhBTEzMIQXz5JNPcvnllzNt2jQAnn76aebNm8dLL73ErFmz9rncVVddxQUXXIBGo+Gzzz7b7zacTidOpzPw3mw2A+B2uwPVyeLQNB8/OY6hqTucH0VRKGkoQY8exaeg0HkPr1UUBZ/X1+Hr/XLjlzg8DgAmDZiEURtFU1QBeH2B7XXGdvfWWfsXKjpj/zrj/Li8LiotlfSP709WTBZejxcv3g5bf0/SFd9xbrfb/9ny+fD5dn0edv3tU/yvzuZTfLu36Tvw9lwuF16vF71e36J8REQEP/74Y2CaoigsXLiQlJQU4uLiGDt2LA8++CApKSkADBkyhFdeeYXa2lq2bt2K3W4nOzubRYsWsXz5cl544YX9xqPsetj4u+++y4knnkhhYWGr8hqNhoiICHw+H4qiBI51W1auXElDQwPDhw8PlElMTEStVvPhhx9yww03oNFoWh+/XWXvuecennzySfr27cu0adMCyeFTTz2FyWTir3/9K3fddRcvvvgi4L8nfeKJJ3jppZcoKipi9uzZ/OUvf2H16tUMHDgQm83GxIkTOfLII1myZAlVVVVceeWVXHPNNcyePZuZM2eydu1azGYzb7zxBuB/rFBZWRkAd955J48++igDBw7kH//4B+effz4bN25Eq9WyevVqTj75ZO6//35effVVqquruf7667nmmmsC65o6dSo7d+7kf//7H3q9nhtvvJGqqqpWx/CII45g8eLFbR7X5nO0v+PeXTR/xtxud6vPSXu+Q9qdSC1atAiATZs2sWzZMpYvX86yZcsCyY5arWbgwIHtrjZ0uVwsW7aM2267rcX0CRMm8PPPP+9zudmzZ7Nlyxb+85//8OCDDx5wO7NmzeK+++5rNf3bb7/FZDK1K2bRtvnz5wc7BLEf3eX8lFHWqet3NDgoW96x21AUhQ82fBB4f4x3dJvbqFjVMU2l96cz9i+UdOb+dfT50aBh267/xOHrzO84rVZLWloaFosFl8sF+Jsb22w21G41Xm3nJ8EOjwOb24bZbMajO7h+UkcccQT33XcfvXv3JiUlhY8++oglS5bQv3//wA/K48aNY9KkSfTp04ft27fz8MMPc/zxx7Nw4UIMBgOjR4/m7LPP5ogjjsBoNPLiiy/i9XqZPn06L774Ik899RSvvvoqCQkJPP300+Tl5bUZy6ZNmxg9enRgu/vidrvxeDz7LLdu3To0Gg1GozFQJjo6mkceeYR77rmH+++/n2HDhjFmzBjOOecc+vXrBxCoIZoxYwajR48G/E0fp02bxueff86QIUMAuOCCC5gzZ05g3Y8//jjXX389kyZNAuCOO+7gu+++47HHHuPxxx/nrbfewmaz8dxzzxEZGUnfvn155JFHOP/887nzzjtJSUlBq9Wi0WgC95sOh6NFPGPGjAHglltuYfTo0axcuZKcnBxmzZrFWWedxaWXXgpAamoqDz30EKeddhqPPPIIO3fu5JtvvmH+/PkMHjwYgKeeeoojjzwSh8PR4hgmJiaydevW/R7/pqam/Z6b7sDlcmG321m0aBEeT8vrqD2t7A75gSUDBw5k4MCB/PWvfw1MKy4uZunSpaxYsaLd66upqcHr9ZKa2rJ5S2pq6j77X23atInbbruNxYsXo9Ue3K7cfvvtzJw5M/DebDbTp08fJkyYcMg1acLP7XYzf/58xo8fj06nC3Y4Yi/d4fxsrdvK2uq19I7t3enbKq8vJ2N4Roeuc0XFCnas8jdVHhWTyNW6RyjpcwN1yeMBf01HxaoK0grTUGs6dyCNzti/UNIZ+9eR58fr81LWVEaf2D7kJ+fL6GsdoCu+4xwOByUlJURFRWE0GgHQurWY6k1EGiIxao2dst09aTwafE4fMTExmHQH9wPwO++8w7Rp08jPz0ej0TB8+HDOP/98VqxYEbj3ueSSSwLljzrqKMaOHUtWVhaLFy9m8uTJADz88MM8/PDDgXL33XcfEyZMIC4ujieffJJVq1bx3//+l2uvvbbVYBaKotDU1ISiKBgMhgPec+l0OrRa7X7LGQwGYmNb9pe9+eabufLKK1mwYAG//fYbc+fO5cknn+Szzz5j/PjxREX5H5sxatSowLqbk6wjjzwyMK1v377U1NQQExOD2WymvLycE044oUU8Y8aM4Y8//iAmJoZt27YxbNgw0tPTA/PHjx+Pz+ejrKyMAQMGtLlPbcXT3LzRZrMRExPD6tWr2bx5Mx999FGL4+nz+aitraWkpAStVsu4ceMCtSsjR44kLi4Oo9HYYntxcXE4HI42j2vzOYqOju72TYwdDgcRERGMHTs2cC03O1CSv6cOffJjVlYWWVlZnHPOOYe8jr1PnKIobZ5Mr9fLBRdcwH333UdOTs5Br99gMGAwtO6oqdPpwvbmMtTIsQxt4Xp+PD4PFfYKoiKiOj3JAP93UUdv59MNnwb+vibKht5lx6eLbrUdtUbd6fvYGfsXSjpz/w73/CiKQqW1kvTYdIakD+mSm++epDO/47xer/+zpVajVvs/A81/q1VdM5KoWqXevU31wW1v4MCB/PDDD1itVsxmM+np6Zx33nlkZWXtcx29evUiMzOTLVu2tFlm/fr1vPvuu6xYsYI33niDsWPHkpqayl//+lemTZuGxWJpcbPe3FQsJyeH9evXHzD25n5E+yqXkpKCzWbD4/Gg17f8ISI2NpYzzzyTM888k4ceeoiTTz6Zhx9+mJNPPjmwPoPBEPi7OfnYe5rP52txnDUaTat49oxx73j3Xq6tfdpfPM3zfT4fV111Fddff32r49C3b182bdp0UPGBf2CQ5OTkNo9r8zna33HvLprPR1vfF+35/giZo5SUlIRGo2lV+1RVVdWqlgr81Y5Lly7l2muvRavVotVquf/++1m1ahVarZbvv/++q0IXQnSBOnsdDY4GYgzhWXNcb6/nu+LvAIjXmzg3wo5bn4g5flSQIxNdrdxSTpwxjoKUAkmiuhGnx4nD4+j0l9PjPHAw+xAZGUl6ejr19fXMmzePM844Y59lm2s69qxhaaYoCldeeSVPPPEEUVFReL3eVn3U9tXH5vzzz+d///tfm62XPB5PiwEU9qd5lOa1a9fut5xKpWLQoEEHvd62xMTEkJGRwY8//thi+s8//xxowpifn8/KlStbbOenn35CrVYHfvDX6/V4ve1v/jl8+HDWrFnDgAEDWr30ej15eXl4PB6WLl0aWGbDhg00NDS0Wteff/5JUVFRu2MQbQuZREqv1zNixIhWbZvnz5/P0Ucf3ap8c1XnypUrA6/p06eTm5vLypUrOfLII7sqdCFEF6iwVIAKtOoOrUjvMl9s/AK3z3+DcWFSEkY11KVMhDDdH3Foamw1GLVGhqQOIdoQHexwRAfQqrVE6aJw+Vw0uZo6/eXyuYjSRbXru3DevHl88803FBcXM3/+fI4//nhyc3MDfW4sFgu33HILv/zyC9u2bWPhwoWcfvrpJCUl8X//93+t1vfqq6+SkpISGDHvmGOO4fvvv+fXX3/lqaeeIj8/n7i4uDZjueGGGzjmmGM48cQTeeGFF1i1ahVbt27lgw8+4MgjjwzUrhxIcnIyw4cPb5HcrFy5kjPOOIOPPvqItWvXsnnzZl5//XXeeOON/SaNB+Nvf/sb//znP3n//ffZsGEDt912GytXruSGG24A/EOLG41Gpk6dyp9//smCBQu47rrrmDJlSqBCoF+/fvzxxx9s2LCBmpqagx7U4NZbb+WXX37hmmuuYeXKlWzatIkvvvgi8Pys3NxcJk6cyBVXXMGSJUtYtmwZ06ZNa/G4omaLFy9mwoQJh3UsxG4h9S/4zJkzmTJlCiNHjmT06NG88sor7Nixg+nTpwP+/k2lpaX8+9//Rq1WU1BQ0GL5lJQUjEZjq+lCiPBmdVmpsFQQZ4gLdiiHxKf4+GTdJ4H31+r9gyDUpk4KVkgiCBocDXgVL0NTh5IQkXDgBURY0Gv0jOo9ql0PyD1cWrW2Xf3qGhsbuf3229m5cycJCQmcddZZPPTQQ4EmTBqNhtWrV/Pvf/+bhoYG0tPTOf7443n//fcDz2hqVllZycMPP9xiILBRo0Zx8803c+qpp5KSksJbb721z1gMBgPz58/nqaee4l//+he33HILJpOJvLw8rr/++nbdw1155ZW8+eabXHvttQD07t2bfv36cd999wWGOW9+f9NNNx30etty/fXXYzabufnmm6mqqiI/P58vvvgi0J/JZDIxb948brjhBo444ghMJhNnnXUWTz75ZGAdV1xxBQsXLmTkyJFYLBYWLFgQ6J+1P0OHDuWHH37gzjvvZMyYMSiKQv/+/TnvvPMCZWbPns20adMYN24cqampPPjgg9x1110t1vPLL7/Q2NjI2WeffVjHQuymUprHOgwRL774Io8++ijl5eUUFBTw1FNPMXbsWMDfEbL5l5K23HvvvXz22WesXLnyoLdnNpuJjY2lsbFRBps4TG63m6+++opJkyaFZR+c7i6cz8/2hu0sL19On5g+XdYBdun8pYwcP7JD1vXrzl+59mv/P/THJvVjcfw2bJEDWDdyDuyxPz6vj7LlZWQMz+j0/ksduX+hqDP273DOT5PTX5swNHUomXGZHRqX8OuK7ziHw0FxcTFZWVmtOqiL/fP5fJjNZmJiYjqs/43D4SA3N5f33nsvMAKf2LdzzjmHoqIi7rjjjjbnd8Y5ClX7u5bbkxuEVI0U+Id/nDFjRpvz3nzzzf0ue++993Lvvfd2fFBCiKDx+rzsNO8kQhsRtqMIfbR290hL03cNMFWXOqlFEiW6L6vLSoOjgSGpQ+gbe+AHlgohDo7RaOTf//43NTU1wQ4l5DmdTgoLCw+7Zk60FHKJlBBC7KnOXketvZYUU0qwQzkkFZYKFu3wP38vyZTE0KI7qaqeR13qxCBHJrqCw+Ogzl5HXnIe2fHZYftjgBChaty4ccEOISwYDAb+8Y9/BDuMbkcSKSFESKuwVKCgoNOEV3PEZh+v+xif4h+9avKgybjiiyiJlxGTegKnx0mltZLcxFwGJg6UJEoIIbqZ7t0AUggR1qwuq3+o6DAdZMLldfHZ+s8A0Kg0TM6bHNyARJdxe91UWCvIjs8mNym3S54vJLpOiHUvF0K0U0ddw/LNLoQIWdW2aiwuC5G6yGCHcki+K/6Oekc9AON7D2d4ycuYzH8GOSrR2Tw+D2WWMjJjM8lPzg/bIftFa80PSnW5XEGORAhxOJqv4T0ffnwo5NtdCBGSPD4PJY0lROoiw7ZJ1IdrPgz8fXW8juTyz1ApPrbHyCMauiuPz0NpUyl9Y/pSkFLQriGqRejTarWYTCaqq6vR6XTdfmSzjuTz+XC5XDgcDjluIaqnnCOfz0d1dTUmkwmt9vBSIUmkhBAhqdZWS529jrSotGCHckjW16znj6o/ABgQl8Ukx3IAatL+EsywRCfy+DyUNZXRJ6YPBakFGLSGYIckOphKpSI9PZ3i4mK2b98e7HDCiqIo2O12IiLCdwTW7q4nnSO1Wk3fvn0Pez8lkRJChKSypjJUqMK2WdSHa3fXRl3SJw+toxhHRF+ssYVBjEp0luaaqN4xvRmSOgSjVp4x1F3p9XoGDhwozfvaye12s2jRIsaOHRt2zzLsKXrSOdLr9R1S6xaedyhCiG7N7DRTYakgPiI+2KEcErPTzDebvwEgUhfJZdqdANSmnS7PjuqGmmuiekX3YkiKJFE9gVqtlgfytpNGo8Hj8WA0Grv9TXq4knPUft23AaQQImxVWiqxe+yYdKZgh3JIvtjwBU6vE4AzsseRbvkDBTW1aacGOTLR0ZqTqIzoDIamDiVCFxHskIQQQnQRSaSEECHF6XFSYi4h1hAb7FAOiU/x8dG6jwLvr4r395MxJxyF2xCeDxUWbWtuzidJlBBC9EySSAkhQkq1rZpGRyMxhphgh3JIft35KzvN/qZ8ozJG0S++P05Dmr9Zn+g29hxYojCtUJIoIYTogaSPlBAiZHh9XkoaSzBqjWH7ANM9B5k4J/8cqnsfT3Wvc0HxBTEq0ZE8Pg8VtgoZWEIIIXq48LxTEUJ0S7X2Wqpt1cQbw3OQiVJzKT/u+BGA1MhUxmSO8c9QqSFMRx8UrZU3lUsSJYQQQhIpIURoUBSFUnMpADpNeI4W9PG6j1FQADg751QSa38EnyfIUYmO4vV5AUiPTpckSgghhCRSQojQ0OBooKypjMSIxGCHckicHiefb/gcAK1ay6UJEQxYcwsD/7g+yJGJjuBTfFRYKgAoSC6QJEoIIYQkUkKI0FDWVIbb6w7bG9T5W+fT6GwE4KSskxhU9x0ADUljgxmW6ACKoviTfJM/yTfqwvMzKoQQomNJIiWECDqLy8LOpp1h+wBeRVH4YM0HgfcXZR1FpGU9PpWOutSJQYxMHC5FUSizlBFnjKMgpSDY4QghhAghkkgJIYKurKkMq8tKlD4q2KEckj+q/mBtzVoAchNzOdG9DoDGpLF4dXFBjEwcrgpLBdH6aArTCsP28ymEEKJzSCIlhAgqu9vOjoYdxBnigh3KIXvvz/cCf5+ffzZJVV8BUJN2RrBCEh2g2lqNQWtgaOpQ4oxxwQ5HCCFEiJFESggRVOVN5Zhd5rB9AG+FpYLvi78HICEigfOi1Wg9TTgN6ZgTjgpydOJQ1dvrQQVDU4cG+kYJIYQQe5JESggRNE6Pk22N24jWR6NSqYIdziH5eN3HeBX/sNhn5Z1FgtXfrK8m40z/86NE2GlyNmH32ClIKSA1KjXY4QghhAhR8oRIIUTQVForaXQ00jumd7BDOSQOj4NP1n0C+Ic8PyvvLEpMSdRkTMatTw5ydOJQ2Nw2Gp2NFKQUhO3nUgghRNeQREoIERQen4ftDdsx6Uyow7Tm5pvN3wSGPB+fPZ4kUxIA9qicYIYlDpHD46DGVkNech7Z8dnBDkcIIUSIC8+7FyFE2KuyVlFrrw3bTvyKojDnzzmB9+fnn4XGbQ5iROJwuLwuKq2VDEgYwMCEgWHb1FQIIUTXkURKCNHlfIqPHY070Kl1aNXhWTG+tGwpW+q3ADA0ZSjHKmUM/eUUMrY+H+TIRHu5vC7KLeVkx2eTl5yHRq0JdkhCCCHCgCRSQoguV2OrocpaRWJE+I6GNmfN7tqovxb8laTyT1D7nPjUxiBGJdrL6XEGkqjByYPDNrEXQgjR9SSREkJ0KUVR2N6wHRUqdBpdsMM5JDvNO1m8fTEAKZEpnJLSj+jGlShoqE2XZ0eFC4fHQaW1MpBEhevnUQghRHDIT29CiC5Va6+lwlIR1rVR7695HwUFgHPyzyG9ci4ADUljcBtktL5wYHfbqbJVMTBhIHnJeVITJYQQot2kRkoI0WUURaGksQQfPgxaQ7DDOSRWl5UvNnwBgEFjYPLASSRWfAlATfr/BTM0cZCsLis19hoGJQ4iPzlfkighhBCHRP71EEJ0mTp7HaXmUpIikoIdyiGbu3EuVrcVgFMGnEJW0zK0HjNOQxrmhKOCHJ04EIvLQr29nrzkPAYmDgzbofeFEEIEn/wLIoToEoqisKNxB168GLXhOSCDx+fh3dXvBt7/teCvJFV8DkBN+pmgktHeQpnZaabB0UBBSgE5iTmSRAkhhDgsUiMlhOgStfbasK+NWlC8gDJLGQBH9zmaAQkD2Br5EEkVc6lNOzXI0Yn9aXA0YHVbGZIyhKz4LHlOlBBCiMMmiZQQotP5FB/F9cUoKGFbG6UoCm+vfjvw/qIhFwHgMSRRkXlpsMISB6HWVovb56YwtZC+sX0liRJCCNEhJJESQnS6ams15ZZykk3hO6LdiooVrK1eC0BOYg5HpI8MckTiYNTYalBQGJY2jF4xvYIdjhBCiG5EGogLITqV1+eluKEYNWr0Gn2wwzlkb/+xuzZqytAppJR9yMCV04muWxLEqMT+NCdRhamFkkQJIYTocJJICSE6VaW1kkpLJcmR4Vsbta1hG4t3+B/AmxqZyvisk0gu+5CYhqUY7duDHJ1oi9vrxqt4GZo6lPTo9GCHI4QQohuSREoI0WncXjdb67ai1+jD+lk976x+J/D3+QXnE29eQYRtG16NidrUSUGMTLTF7DQT3SeagpQCMqIzgh2OEEKIbkoSKSFEp6mwVFBtqyYxIjHYoRyyWlstX27yP3A3UhfJmYPOJLn0A/+81FPxaaOCGZ7Yi8Vlwew0M2bEGPrG9g12OEIIIboxSaSEEJ3C6XGytX4rJp0JjTp8n6/04doPcXldAEzOm0y8z0JczSIAqnudG8zQxF6sLisNjgbyk/PJis8KdjhCCCG6OUmkhBCdotxSTp29joSIhGCHcsgcHgcfrv0QAI1Kw3mDzyO57GNU+DDHHYEjUm7WQ4XFZaHeUc+gpEH0T+gvQ5wLIYTodOHbaUEIEbIcHgdb67cSpY9CrQrf32vmbpxLo7MRgAn9J5AeEU9S+aeA1EaFEovLEqiJ6p/QP6w/c0IIIcKH/GsjhOhwpeZSGhwNxBvjgx3KIVMUhXdXvxt4f9HQi1BUGnb2n0l90nE0JI4JYnSiWXMSNTh5MAMSBkgSJYQQostIjZQQokPZ3Da2NWwj1hAb1s2rqmxVlJhLABiVMYrcxFwA6tImUZcmI/WFgj2TKGnOJ4QQoqvJT3dCiA6107yTRmcjsYbYYIdyyBRFYXvD7udDXTLskuAFI9rUPLCEJFFCCCGCRRIpIUSHaXI2sa1hG/HG+LC+sf2p5CesbisAg5MHc0TGEfTZ+E9SSv6D2mMJcnTC5rZR56iTgSWEEEIElSRSQogOs61hG1aXlRhDTLBDOWSKovDGyjcC7y8ddilGewnJZR/RZ8vT6Fw1QYxO2Nw2amw1DEoaxMDEgZJECSGECBpJpIQQHaLOXkeJuYQkU1KwQzksKypW8EflHwBkx2UzNnMsKTvnoEKhIeFYnKZ+wQ2wB9szicpJzJGBJYQQQgSVDDYhhDhsPsXHlrotuH1uTDpTsMM5LLNXzg78fcmwS9B5LCRWzAWgqs8FwQqrx7O5bdTaa8lLzpMkSgghREiQf4mEEIetwlJBWVMZKaaUYIdyWNZVr+OXnb8AYNQYmdB/Aknln6DxObBFDqQp7oggR9gzWV1Wau21UhMlhBAipEiNlBDisDg9TjbVbsKgMaDX6IMdzmGZvWp3bVTf2L5ogZSdHwBQ1ft8kP44Xa55iPO8pDwGJg6UJEoIIUTIkH+RhBCHZVvDNmrttSSaEoMdymEpri9mQfECABIjEkmPSie++n/oXVW4dYnUpU4McoQ9TyCJSpYkSgghROiRGikhxCGrt9dT3FBMYkRi2N/kvr7idRQUAC4cciHqKjX2yAHUJY/HHjUARR3etW3hRh62K4QQItRJIiWEOCRen5fNdZtxep0km5KDHc5h2dawjXlb5gEQZ4zj7PyzWVu1FkfUAIoHzwJFCXKEPUuTs4lGZyMFKQVkx2dLEiWEECIkhfdPyEKIoCm3lFPWVEaqKTXYoRy215a/FqiNmjJ0SuuRB+VGvss0OZswu8ySRAkhhAh5kkgJIdrN5raxqXYTRq0RnUYX7HAOy961Uefkn4OpaR0RTRsw2EqCHF3PYnaaMbvMDE4eLEmUEEKIkCeJlBCiXRRFobi+mHpHPYkR4T3ABLSsjbpoyEWYdCbSdryJwVFG+vbXghxdz9HgaKDJ1URBstRECSGECA+SSAkh2qXaVs2yVctINiWH/c3unrVRsYZYzh18LgbbduKqvwegou/FwQyvx6iz1+HwOChMLSQrPivsP1dCCCF6BkmkhBAHzeV1sbFmI/U76lv3IwpDe47U19w3KrXkbVQouPWJOCL7BznC7q/GVoPH56EwrZDMuExJooQQQoQNSaSEEAetuL6YKlsVBo0h2KEctrZqo3TOahIrvgTAYcoMZng9QqWlElQwLG0YvWN6BzscIYQQol0kkRJCHJRaWy1b6reQGJHYLWoN/rXsX/gUH7C7Nipl57uoFTdNscPw6mKDHGH3VmGpQKfRUZRWRHp0erDDEUIIIdpNEikhxAG5vC421m7E6/MSpY8KdjiHbX3NeuZvnQ9AvDGecwefi8bdQHLZJwBU9pkazPC6NUVRKG8qx6g1UpReREpkSrBDEkIIIQ6JJFJCiAMqri+m3FJOamT4PzMK4MWlLwb+vqzoMkw6E4pKS1Xvv9IUO5zGxGODGF33pSgK5ZZyTHoTw9KGkWRKCnZIQgghxCHTBjsAIURoq7JWsbluM4kRiWjUmmCHc9hWlK/g55KfAUiLSuOsvLMA8GmjKMu6GhRFHsDbCRRFocxSRow+hsK0QuIj4oMdkhBCCHFYJJESQuyT3W1nfc16gG7RpE9RFJ7//fnA+yuHX4leo29ZSJKoDudTfJQ1lRFnjKMwrZA4Y1ywQxJCCCEOmzTtE0K0yaf42FS3iRpbTbfpx/JTyU+sqlwFQL+4fkwaOAmN28yAP64num6JvzZKdCif4qPUXEpCRAJF6UWSRAkhhOg2JJESQrRpp3knxfXFpEamolaF/1eFT/Hx4u+7+0ZdPfJqtGotKTvnEFv3M723PAVIItWRvD4vpU2lpESlUJReRIwhJtghCSGEEB1GmvYJIVppcDSwvmY9kbpIjFpjsMPpEN9u+ZaNdRsByEvK44R+J6BxN5Gycw4A5ZnToBskjKGiOYlKi0pjaOpQIvWRwQ5JCCGE6FBy1yCEaMHpcbKueh0Oj6PbDAjg8rp4aelLgffXHHENKpWKlNI5aL0W7JH9aUg+IYgRdi+BJCo6jcK0QkmihBBCdEuSSAkhAnyKj421Gym3lJMWmRbscDrMB2s+oLSpFIAjMo7gyF5H+mujSt4FpDaqI+1ZE1WYWohJZwp2SEIIIUSnkDsHIURASWMJW+u3khqZ2i2GOgd/M8XXVrwGgAoVNx51IyqVitSSf/tro0zZ1CefGOQouwef4qO0qZTUqFSGpg6VJEoIIUS3JomUEAKAGlsN62rWEaWP6jb9ogBeXf4qFpcFgNNyTiM3MRetqzbQN6o0e4bURnWA5tH5UiJTpE+UEEKIHkEGmxBCYHVZWVO1Bq/PS7IpOdjhdJhtDdv4aO1HABi1RmaMnAGARxfP9tx/EFv7I42J44IZYrfQnEQlmZIoTCvsFs8cE0IIIQ5EEikheji3183a6rXU2evoE9Mn2OF0qGd/exav4gXg4qEXkxy5K0lUqalPnUh96sQgRtc9eH1eyixlJEcmSxIlhBCiRwm59iwvvvgiWVlZGI1GRowYweLFi/dZ9pNPPmH8+PEkJycTExPD6NGjmTdvXhdGK0R4UxSFjbUbKTGXkBGdgUqlCnZIHWZp2VIWbV8EQLIpmSlDp/hn+DxBjKp78fg8/j5RkakMSxsmSZQQQogeJaQSqffff58bb7yRO++8kxUrVjBmzBhOOeUUduzY0Wb5RYsWMX78eL766iuWLVvG8ccfz+mnn86KFSu6OHIhwtOOxh1srttMiikFrbr7VFB7fV6e+vWpwPurR15NhC6CCMsmhvz6F5JKPwpidN2D2+umtKmUjOgMhqUNkz5RQgghepyQunN68sknufzyy5k2bRoATz/9NPPmzeOll15i1qxZrco//fTTLd4//PDDfP7558ydO5eioqI2t+F0OnE6nYH3ZrMZALfbjdvt7qA96Zmaj58cx9C09/mptlWzpmINkZpIDGoDPq/voNelKEq7yne1j9d9zIbaDQDkJORwSvYp+Lw+MrY+j95VRVT9MqrSJu93HcHYx+btdcV2D2f/XF4XlZZK+sT2IT8xHy3aHnHdy3dcaJPzE9rk/IQ+OUd+7dn/kEmkXC4Xy5Yt47bbbmsxfcKECfz8888HtQ6fz0dTUxMJCQn7LDNr1izuu+++VtO//fZbTCYZqrcjzJ8/P9ghiP3Y+/y4cWPF2q51OBoclC0v68iwOozZY+bFdS8G3k9NmErlykoSvGuIc/yEDzUrrP+H9QDxB3MfK1ZVdPo2Dnf/NGgo2/VfTyPfcaFNzk9ok/MT+nr6ObLZbAddNmQSqZqaGrxeL6mpqS2mp6amUlFxcDcVTzzxBFarlXPPPXefZW6//XZmzpwZeG82m+nTpw8TJkwgJibm0IIXgD+Dnz9/PuPHj0en0wU7HLGX5vMz9vixrK1bS421hvTo9EPqF1VeX07G8IxOiPLwzf5xNhavf7jzU/qfwvix40Hxkb/S/yNNTdoZxA4cSewB1hOMffR5fVSsqiCtMA21pnNbXh/K/tnddmpttWTHZ5OTlNOtmoMeDPmOC21yfkKbnJ/QJ+fIr7m12sEIuX8F976pUxTloG705syZw7333svnn39OSkrKPssZDAYMBkOr6Tqdrkd/aDqSHMvQtrlxM5X2SnrH9j7kh+6qVKpOv9E/FH9W/ckXG78AIFIXyQ1H3YBaoyah4isiLevxaiIpz55+ULEHcx/VGnWnb7u9+2dz26hz1pGTksOgpEHd5oHNh0K+40KbnJ/QJucn9PX0c9SefQ+ZRCopKQmNRtOq9qmqqqpVLdXe3n//fS6//HI+/PBDTjrppM4MU4iw5fX5hwEvaSwhIzaj290Ie31eHv3pURQUAK4ccSVJpiTUXju9tr4AQHnmpXj0icEMMyxZXBYaHA0MSh5ETmIOanmAsRBCCBE6o/bp9XpGjBjRql3m/PnzOfroo/e53Jw5c7jkkkt49913OfXUUzs7TCHCkqIobKnfAkByZDI6Tff7penzDZ+ztmYtAP3j+3Pe4PMAiKn7Gb2rGqexF1W9zg9miGHJ7DTT4GggPzlfkighhBBiDyFTIwUwc+ZMpkyZwsiRIxk9ejSvvPIKO3bsYPr06YC/f1NpaSn//ve/AX8SdfHFF/PMM89w1FFHBWqzIiIiiI09UA8IIXqOrfVb2Vy7GQCj1hjkaDpeg6OBF35/IfD+1mNuDfTfaUg+kXXD30LttaNoWjfrFftWb6/H7rEzJGUIWfFZ3eo5Y0IIIcThCqlE6rzzzqO2tpb777+f8vJyCgoK+Oqrr8jMzASgvLy8xTOl/vWvf+HxeLjmmmu45pprAtOnTp3Km2++2dXhCxGSShpLWFu9lhhDDGYOvgNlOHnilydodDYCMLH/RIanD28x3xYzOBhhhbUqaxUAw9KG0Se2T5CjEUIIIUJPSCVSADNmzGDGjBltzts7OVq4cGHnByREGKuwVPBn1Z9EaCOI0kd1y0Tq55Kf+Xrz1wBE66O58agbATBat+JT63FF9A5idOFHURTKLeWYdCYKUgpIjdp/H1UhhBCip5LG7kJ0U9XWav6o/AMVKuIj4oMdTqewuW3M+nH3w7pvPOpGkkxJoHjpt/5eBv92DnFV/wtihOHF6/Oy07yTGEMMw9OHSxIlhBBC7EfI1UgJIQ5fja2GVRWrcHvdpEWlBTucTvPS0pcot5QDcETGEfwl5y8AJJd9QmTTWryaSCyxw4IYYfjw+DyUNpWSHpXOkNQhROmjgh2SEEIIEdIkkRKim6m2VrOqYhVOr7NbJ1F/Vv3Je3++B4BBY+DOMXeiUqnQOmvI2DXceWnWDDyGpGCGGRY8Pg9lTWX0iu7FkNQhmHSmYIckhBBChDxJpIToRsqbyvmj6g+8Xm+3TqLcXjcPLHog8Myoq0ZcRe8Yf1+o3lufQeu1YI0aRHWvs4MZZlhweV2UW8rJjM1kcMrgbjmqoxBCCNEZJJESopsoaSxhddVqNCpNt+/b8vqK1wPPxcpNzOWCIRcAEFW/lMTKr1FQsSPndlB1r4cOdzS7206VrYrs+Gzyk/PRa/TBDkkIIYQIG5JICRHmFEWhuL6YNdVriNBGdNuBJZr9WfUns1fOBkCj0nDX2LvQqrWofG76bnoEgOqMs2TI8wNw+9zU2msZlDiInKScwHO3hBBCCHFwZNQ+IcKYT/GxuW4zq6tWE6WP6vZJlN1t5+4Fd+NVvABMGz6NQUmDAvPrUifhNGZQltX2IxSEX62tlpjeMQxJGcKg5EGSRAkhhBCHQP71FCJM+RQfm2o3sb5mPXHGuB4xytqzvz3LDrP/odyDkwdz6bBLA/MUtY6KzMuo7DMFRa0LVoghTVEUKq2VaNVaTjzyRHrF9Ap2SEIIIUTYkkRKiDDk8XnYULOBTbWbSIhIIFIfGeyQOt0vJb/w4doPAf8offcfd7+/JkXxolK8KGp//x5JotrmU3yUWcqI1kczJGUIyZHJwQ5JCCGECGvStE+IMOPwOFhduZoNtRtIjkzuEUlUo6OR+xfdH3h/w5E3kBmXCUDKzvfJW3ohJvOfwQov5Lm8LkrMJSRFJDEifYQkUUIIIUQHkBopIcKI2WlmTdUayi3lZERloNN0/9oXRVF46MeHqLZVA3BUr6M4J/8cAAy2EnoVv4Da58Rk2YAtpiCYoYYks9NMo6ORrLgs8pLzZHhzIYQQooNIIiVEmKiyVrGmag1mp5ne0b3RqHvG0N4frP2A74u/ByDGEMPd4+5GpVKB4iNzwwOofU7McUdQkz45yJGGFp/io8pahVqlZkjqEPrF9esxnxkhhBCiK0giJUSI8yk+tjdsZ33NehRFoVd0L38i0QOsr1nP078+HXh/z7h7SIlMASC59EOiG5fjVUewPfcf0EOOycFwe92UW8pJiEggPzlfmvIJIYQQnUASKSFCmNPjZEPtBorri4nWRxNrjA12SF3G4rJw23e34fa5Abig4ALGZY4DwGDbTq+tzwFQ2v86XBEy+lwzi8tCnb2OzLhMBiUNwqQzBTskIYQQoluSREqIENXgaGBt9VoqLBWkRqb2qL4tiqLw4KIH2WneCfiHOr9u1HUAqHxustb+A43PQVPcCKozzg5mqCGlxlaDy+siPzmf/gn95flQQgghRCeSf2WFCDGKolDaVMq66nXYPfYe1R+q2cfrPuZ/xf8DIFofzawTZwUG1lB7bXh1MXi0MRQPuh9UMvio1+el3FJOpC6SERkjSI9K7zHNP4UQQohgkURKiBDi8rrYXLuZzfWbMWqM9IrueU3WVlas5PFfHg+8v2fcPWREZwTee3WxbBr6HAZ7CW5jajBCDCkOj4NKayXpUenkJ+f3qOafQgghRDBJIiVEiGhwNLCuZh3lTeWkmFKI0EUEO6QuV2Gp4Nb/3YrH5wHg/ILzOa7fcf6ZPg80N1VTqXGaMoMTZAips9dhc9vISchhYOJADFpDsEMSQgghegxJpIQIMp/iY6d5J+tr1vfYpnzgr1n52/y/UWuvBeCIjCO44cgb/DMVhey1t+PRxbFzwEx8mp6XZO7J6/NSbi3HpDUxPH04vWN6S1M+IYQQootJIiVEEFldVjbWbmR743ai9dH0ju4d7JCCQlEUHlr8EOtq1gHQK7oXs06cFRgsIbn0feJrFuBTaanudQ72qJxghhtUTo+Tcqv/gcx5yXnEGeOCHZIQQgjRI0kiJUQQKIpCuaWcDTUbaHA0kBqZ2qObZf1n9X/4evPXAERoI3hiwhOBBCGycRV9tjwFQGn29T06ibK4LNTb6xkQP4BBSYN69GdGCCGECDZJpIToYna3nc11myluKMagMdAnpk+Pbpa1oHgBzy55NvD+vuPuY0DCAAC0zhqy19yGSvFSlzyeqt7nByvMoKu11eLyuihIKSA7IRu1jFYohBBCBJUkUkJ0EUVRqLRWsqFmA7X22h73bKi2rKpcxT8W/AMFBYArhl/BCVkn+Gf6PGSvvQO9qxq7KYvtuXdBD0w4fYqPSmsleo2eovQiesX0vJEchRBCiFAkiZQQXcDutrO1fitb6regU+voE9Onx9cobGvYxsx5M3F6nQBMGjCJK4dfGZjfq/gFohuX49WY2DL4MXxaU7BCDRq31025pZxEUyIFKQUkRCQEOyQhhBBC7CKJlBCdSFEUKiwVbKzdSK29tscOa763GlsN1399PY3ORgBG9RrFXWPvatHEsSl+FEnlX7A99w6ckf2CFGnwWF1Wauw1ZMZmkpech0nX8xJJIYQQIpRJIiVEJ2lyNrGlfgs7GndILdQerC4rN827iTJLGQADEwby6EmPotPoWpQzJ4zmzyM/w6uLDkaYQVVnq8OFi/zkfAYkDAiMXiiEEEKI0CH/OgvRwVxeFyWNJWyt34rVbSXZlNzj+0I1s7vt3DjvxsAw56mRqTw78Vmi9FEA6B3lqL0OHJFZAD0uiWp+ELFapWZ42nAyojN69EAkQgghRCiTREqIDuL1eam0VrKlbgub1m8ic2AmfWL6BDuskOH0OLl5/s2sqFgBQIwhhmcnPktyZDIAao+FAatvROeoZPOQp7HGDQtitF3P5rZR3VSNBg3DM4aTGJUY7JCEEEIIsR+SSAlxmHyKj2prNdsatlFhqUCv0eMqdxE3JC7YoYUMt9fN3//3d34r/Q2ASF0kL5zyAv0T+vsL7BqhL8K6BZc+CZcxLYjRdr0aWw0ur4uBCQPZumUrMYaYYIckhBBCiAOQREqIQ+T1eam2VbO9YTuV1krUqEmNTEWn0bFDtSPY4YUMj8/DHd/fwU8lPwH+B+4+d8pz5CXn+QsoCn03P0Zs3c941Ua2DHkKdw9JpDw+DxWWCiJ1kQxPH06yMZmtbA12WEIIIYQ4CJJICdFObq+bKmsV2xu3U22tRqvWkmxKRq/RBzu0kOPyurjz+ztZsG0BAAaNgacnPs3Q1KGBMhnFL5Fc9jEKKrblPYAtOi9Y4XYpm9tGta2ajOgM8pPziTHE4Ha7gx2WEEIIIQ6SJFJCHCSX10WFpYLi+mLq7HUYNAbSotJkRLV9sLvt3DL/FpaULgFAr9Hz5MlPMiJ9RKBMSsl/SN/xBgA7cm6jIfn4oMTa1Zqb8g1KHMSAxAGShAshhBBhSO4AhTiAvRMok85Er+heaNSaYIcWsiwuCzd8cwOrKlcBYNQaeXz84xzZ68jdhRQvsXU/A7Az61pqMs4KRqhdyuPzUN5UTrQhmoKUAhmVTwghhAhjkkgJsQ9tJVC9Y3rLs6AOoMHRwLVfX8v6mvWAf2CJZyY+w7C0YS0LqjRsHvI08VX/oy71lK4PtIs1OZuod9TTO6Y3g5IGEW3oWUO7CyGEEN2NJFJC7MXmtlFpqWR7w3bqHfVSA9UOJY0l3PDNDeww+wfbiDPG8fwpzzMoaVCgTIRlE/bIAaBSoaj11KVNCla4XaJ5WHytWsvQ1KFkxmVKc1AhhBCiG5B/zYUAFEWh0dlIhaWCnY07MbvMROujpQaqHVZWrOTmb2+m0dkIQEpkCi+c8gJZ8VmBMvFV88la+w8q+1xIafZ10M2btTUPKJEWlUZuYi6JJnk2lBBCCNFdSCIlejS3102tvZZScymV1kqcHidxxjj6xvSVvivtMG/LPO774T5cXhcA2fHZPHPyM6RHpwfKxFd+Q9a6u1HhQ+eqARSgex5jRVGotlXj8XnIS8qjf0J/GVBCCCGE6GYkkRI9UpOziSprFTvNO2lwNKBWqUmISMAYaQx2aGFFURReX/E6Ly97OTDtyF5H8s+T/kmUPiowLaHiv/Rbfz8qfNSknc723H9AN63pc3qcVForSYhIIDcpl9TIVEnKhRBCiG5IEinRY3h8HmpttZQ1lVFprcTmthGtjyY9Kl36Px0Ci8vCvQvvZeH2hYFpZ+aeyW3H3taiD1Dyzvfos/kJVChUp/8fO3Ju77ZJVL29HqvbSlZ8FjmJOZh0pmCHJIQQQohOIomU6PYsLgvV1mp2NO4I1D7FGeNINiUHO7SwZXVZufizi9nR6B9UQoWKa464hqmFU1vUvmRsfYH0HbMBqOp1HiUDbumW/aI8Pg8VlgpMOhNF6UXSt04IIYToASSREt2S1+el1l5LeVM5FZYKrG4rkbpIeYBuB/h2y7esLl/NDsWfRMUYYnjg+Ac4ps8xrcraI/ujoKI06xoq+07tlklUo6ORRmcjvWN6k5uUS4whJtghCSGEEKILyB2l6DYURcHsNFNrq2Vnk7/vE0CsIZYkU1Jwg+sG7G47T/zyBJ9t+IzzOA+AnMQcHj3pUXrH9G5zmfrUidijcnFEZrU5P5x5fB4qrBUYNUYKUwvJjMuUJqJCCCFEDyKJlAh7VpeVWru/71OdvQ6Hx0GkLpLUyFSpfeoga6vX8o8F/wg05QM4beBp3HbsbRi1uwfoMNi20XfjI2zLux+3IQWgWyZRDY4GzE4zGdEZ5CTmEB8RH+yQhBBCCNHF5C5ThCWnx0mdvY5KayWV1kqsLitGjZFYYyypkanBDq/b8Pq8vP3H27y09CW8iheACG0Eg2IHcdq401r0h4qp/ZHstXei8Vrps+kxthY8FqywO43L66LKWkWELoLC1EL6xvWVZF0IIYTooeQOQIQNr89LvaOeKksV5ZZymlxNaFQaYgwxJMYkyhDTHWxL3RYeWPwAf1b9GZiWn5zPg8c/SNVvVbuPt6KQtmM2GcUvoUKhKXYYO3JuC1LUnUNRFGrttTg8DvrE9qF/fH9ijbHBDksIIYQQQSSJlAhpPsVHo6OROnsdZU1l1DvqURSFaH00vaJ7ychoncDtdTN75WzeWPkGHp8H8I/Kd8mwS7hqxFVo1VqqqAJA424kc8ODxNcsAKAq42x2DrgZRa0LWvwdzeqyUmOvIcGYQEFKAenR6fK5E0IIIYQkUiL0uL1uGp2NNNgbKLeUY3aacXldmHQmUkwp6DTd5yY91KysWMnDPz7M1vqtgWl9Y/ty99i7GZY2rEVZg3UbOX9cg95ZiU+lpWTg36nJmNzFEXceRVEoaypDo9aQl5RHv7h+ROgigh2WEEIIIUKEJFIi6BRFweq2Bkbcq7ZVY3FZ8Pq8mHQmEiIS0Gv0wQ6zW6u2VvPsb8/y9eavA9M0Kg0XF17MtKJpGLSGVsu4jGl4tVE41HqK8x/GFp3XlSF3GkVRqHfUY/fYSY5MZmDCQBJNicEOSwghhBAhRhIpERQOjwOz00yjo5FKSyUWtwW7245apSZKHyUj7nURl9fFu6vf5fUVr2P32APTByUN4q6xd5GbmNuivN5ehmvXaHyKxsjmgifx6OLwaSO7NO7O0tyML9YQS9HQIkZmjJTPoRBCCCHaJHcIokt4fV6aXE2YnWZW/bEKY4YRm9uGoihE6CKI0kWRFJEkA0Z0EZ/iY96Weby89GVKm0oD02MNsVw98mrOHHRmywRC8ZFc+gG9tj5PReZlwFAAXBG9ujjyzuHyuqi2VaNVa8lNzCUrPgtTtinYYQkhhBAihEkiJTqFx+fB4rJgcVmot9dTY6vB5rbh8rrYsXEHw/oMI84YJ532u5iiKPxY8iMvLXuJTXWbAtPVKjVn5Z3FVSOuIs4Y12IZg62EzA33E924AoCohhWgDOnKsDuN1+elxlaD2+emV3QvshOySYhICHZYQgghhAgDkkiJDmF322m0NwLwR+UfNLobsbvtuLwuNCoNkfrIQF+nKm0VUfqoIEfcsyiKwi87f+HlzS+zbtW6FvNG9RrFDUfe0KoZn8rrJLXkbdJ3zEbtc+LVmNiZfb1/QIn/Le/K8Ducoij+h+q6zKSYUuif0J/UqFRJ7IUQQghx0CSREu3WPDiExWWhydkUGBzC7vD3sSlvKsdkMJEYkSgj7AWZT/GxaPsiXl/xOutqWiZQ+cn5XHvEtYzqNarVcpGNq8la9w8MDn+zP3P8KLbn/ANXREaXxN2ZLC4LdfY6YgwxDE8fTq/oXvI5FUIIIUS7SSIlDsjj82B17UqcXE1UW6uxuq2BwSGMWiMR2ghio2OpoML/y75GftkPJqfHyTdbvuGd1e+0GMocICsui+kjp3NCvxP22SfNo4tD56zCpU9m54CbqE8eD2Hef83utlNjq8GoM5KXnEff2L6YdNIPSgghhBCHRhIp0YrD4wgkTvWOeursdYFmemq1mghN24ND+Ly+IEYtAGpsNXy49kM+XvcxDY6GFvNyEnI4M+ZMJh8/Ga225aWvddYQW/sjtRlnAuA09WHzkKewxgwJ+xH5HB4HNbYatGot2QnZZMZmEmuMDXZYQgghhAhzkkj1cM21TVa3lSZnE3X2OppcTdg9dnw+H3qNnghthDzLKYR5fV5+K/2Nzzd8zsLtC/H4PC3mD00dymXDLmN0xmjKV5S36Aek9lhI2/FvUna+i8bnwB6Vgy0mH4CmhKO6dD862p4JVGZcJn1j+8pAEkIIIYToMJJI9SAurwu7247dY8fmtlFnr6PR0YjD4/DXNu1qpmfUGokzxKFRa4IdstiPCksFX2z4gi82fkGFpaLFPI1Kw0nZJ3F+wfkUpBQALWsMNe4GUna+R8rO99B6LQBYYoaidIPBFuxuO7X22hYJVLwxXobWF0IIIUSHkkSqG3J73dg9duxue6CZXoOzIfDe7XUDoNfoMWqNUtsURpqcTSzYtoBvt3zLktIlKCgt5idEJHBG7hmck38OKZEprZbXKjZ6Fz9LStnHaHz+wUHspmxKs2bQmDQurPtBSQIlhBBCiK4kiVSYUhQFl9eFw+MIvKwuK2anGavb6k+YfP6ESY0ag9aAQWOQkfTCkNVlZdGORXy75Vt+3flr4Lw2U6vUHN37aM7IPYMxmWNaPkh3Lz60JFZ9g8ZnxxaVS3nm5TQkHQdhXBNldVmpd9RLAiWEEEKILiWJVIjz+rwtkiW7206Tqwmz04zL68LldbWZMCVEJKBT6+RmMkzV2Gr4ccePLN6xmF93/orT62xVpld0L07POZ3Tc04nNSq19Up8HuJqfyC+6n8U5z0AqPGp9OzInomiM2FOOCZsa6AURcHsNNPobCRCF0F2fDa9Y3oTHxEf7NCEEEII0UNIIhVizE4zvyz7hdSsVGweG3a3HbfPjdPrxOfzoVKp0Kl1GDQG9Bo90fpoqWHqBnyKj421G/lxx48s2rGItdVr2yyXbErmpOyTmJA9gYKUgjYTZYNtB0nln5FY8V907joA6lNOoi7heP/fySeF7fD0bq+bBkcDNo+NGH0M+cn5pEenE2OICXZoQgghhOhhJJEKMY2ORtasWYMnyYNWrQ0kS4maxBajrYnwV2ou5fey31lSuoSlZUupd9S3WS4xIpETsk5gfPZ4hqUNa/NzoPZYiK/6H4mVXxHduDww3a1LpCb9L1hjhnbafnS25gdANzgaUKlUJBgTyE/JJ9mUTIQuItjhCSGEEKKHkkQqBKlVatKi0oIdhuhAiqKwvXE7f1T+warKVSwtW0ppU+k+y+ck5HBs32MZmzmW/OT8AybRekcF/TY+6N8WKswJo6lJ/z8aEsdAc5+pMHvOl8vrosHRgN1jJ0ofRXZ8NmlRaSREJMiIkkIIIYQIOkmkhOgEXp+X5eXLA4nTH5V/0Ohs3Gf5SF0kw9OHM7r3aMZmjt1nIq111RNT9xNxtYvxaiLZPuhuABxRA6hLPgl7VC61qafgNoZnIu71eWlyNdHkakKr0pJoSmRwzGCSTEmYdKZghyeEEEIIESCJlBCHyeKysLF2I+tr1rOhdgPra9ZzRP0RvLfjvX0uo1PrGJo6lFG9RjEqYxR5yXltj7anKBitW4irXUxs7WIizatR7Rry3Ks2UjLwb/g0/uZtxYMf6ZT962w+xecfcdJlRlEUog3R5CXlkRyZTJwxTpq0CiGEECIkSSIlxEFyeV3saNxBcX0xWxu2UlxfzMbajeww72hVdiQjW7yPNcQyNHUohamFFKYWkpech1FrPOA2s9fcSnzN9y2m2aJyaUgcQ2PSOHzqA68jFAWSJ6cZn+IjSh9FVlwWKZEp/hEnZQAVIYQQQoQ4SaSE2IOiKDQ6G9lp3kmJuYSt9VvZ1rCNrfVb2WneiVfxHnAdGpWGKG0UZ2SfQWFqIUNTh5IZm9n2UPSKD6NtG5Hm1USaVxPdsIz1RbPx6uMAsEXlEFv3E+a4I2hMPJbGxDG4jW0MdR4GPD4PFpcFq9uKT/ERqYukb1xfUiNTiY+IP6jEUgghhBAiVEgiJXocl9dFlbWKsqYySptK2Wne2eJldVsPel0GjYEBCQMYlDTI/0ocRP+E/vzx/R+MHDuyzWWMls3EV3+3K3n6E63X0mJ+dMNSGlJOAqCq91+p7DMFRWM49B0OEkVRsLltgQdEa9SawKARiRGJkjwJIYQQIqxJIiW6FZfXRbW1miprFZXWSv/L4v9/87Q6e12712vQGOgX14/s+Gz//+OyyYrPondM7332bTLYtmGybCLCspH65JOwR+cCYLJsJGP7q4GiXrURW3Q+1pgCmuKGY4ktCszzaaPafxCCRFEUHB5HIHECMOqMxEfEkxqZSowhhhhDjDTbE0IIIUS3IImUCGnNN+d19jrq7HXU2mv3+7fFZTnwSvdBo9KQFpVG75je9IruRe+Y3mTFZZEVn0V6VPp+h9zWO8pJqPgSo307Rtt2NtUWUvDbnMB8jy42kEhZYgupTT0VS8wQrDEF2CMH7B6iPIx4fV7sHjt2t92fOKkgQhtBpC6S7PjsQOIkz3oSQgghRHcUfndvIuwoioLT68TqsmJ1+wcY+HXnrzQ6GzE7zTQ6/P83O82YXWbMDv/fzfPdPneHxKFWqUk2JZMamUpKZArp0emBhKl3TG/SotJa1y4pXnTOavTm1RgcZeid5egd5RjsZdSmTaIu7TQAtK46em17ObCYShmCV23EHjkAe9RA7FE5gXmuiF5sy7uvQ/apq3h9XpxeJw6PA4fHgT5NT7m1HJPWRJwxjiRTEtGGaKL0UZh0prb7gwkhhBBCdCOSSIUQnw+2bgWLBbbvgD59QH2Y96M+BUpK/OuMijrwOpuTHqfHf9Ns8zjYvtNBg8WB2uAgJt6Bzeng1xU2ahqtGKKsZPSzUtNoxeyw4HXV4y710Gi3YnPbcHit2L3WFoM0nMd5vF/+/uHt2F6MmkiiNQnEGRJIjEgkwZCKyppKrDaV/L6pJBpTqStNRK1oMUVCbLRCfLSVvvE1FP9Zg8u8hhrfD2y357LOMpKBOXBcwWYKVlyIeh8DTFR7M3EnnsbSpWCuycSuPw2zNpN6+lIZoWP5sTNR76MWq63zArunRZrA44Xff4OKCtDpYeBAyM2B3n1gZwls3gIoYIwAqxXq6yAhESIjIToamprAbgNUMKA/ZGT4t7Fuvb8MgNXm35ZPga1boLraR0yCi77ZThJTnZSUurDYfERHasjqY8CkjyA9Op3CtEIidZFE6iNDsp+TzwebN0NjI8TGwoABoJZR1EU7tPUZEkIIIfYkiVSIWLEC3nxLYflWJ7kDPHz2Uz29Ml0cd4KbPpluXD4Xbq8bl9eFy7vr713T3D737mnN831uKqpdbNripqHJjUdxodK6MEY5iE92oDU4cXgdgRqG5pfT40TZ9ZyiA1IDNmDtXtObDv94RGgjiDHEEGuIJdoQTbwxHpUzgYqtCViqE1E5EsCeiGJNQOVIwNUEURozCSYz8cYGonVmEkyNJESU8vMn0Xy/JRVFgcy4nXx92TWkWWsw1TphGwwD2NX67Jnlf+WFuSPRaWFAryTWXOPF7dVQ0pjG9vp0ttels70hndKmdP6oymdNJXi94HJG8Q/lXgAMejh3/FK+WqphysUwKLflvq3fAP/9L2wrBqfLXz421j+vsREaGqC83J9QeffM4VQQFelPvNxusNvB5QKvDxQFmiuBNGpQqXdP02khIgIS4+HRm+GJJ7xU1rpQVG4MJhdNNjc2pxuvFxSfCrXPQIRBT5wpkQRTHEaNiQhdBIMHmrjsYiMFw0O7tmnFCnjrLVi3DhwOMBohLw+mToWiogMvL8S+PkNTpgQ7MiGEEKEk5BKpF198kccee4zy8nIGDx7M008/zZgxY/ZZ/ocffmDmzJmsWbOGjIwM/v73vzN9+vQujPjwrVgB998P/8s6CsuI3+jFeSyL/RvLgC9+B34/jJUbdr32UNpwGOs7WB4DOqLQeE24rJGo3JHERJiI1EURoc2gV/VU4gwRnHBUBDkZBuK0eiIjMzBF9/P3q/HZSKich8ZrQ+21Yq6xsn2jBW1sFfEZNhaUnsAj34yjqQkGJmxjy81n7zOUZxefx1drjkKlBrMjkuzE0sC8RnskFU2JlDclUWFOZHnpIBQfeDywtjiWPg/+lzpnMm6vBveuFoYqlb9Wz+sDFGCvvMLpArcHfvkFamrgppm7k6n1G+C1V/3JUkqKP8GprPKXBcjs56+BajTvWveeFH9yZbH4a1fUGn+cgdmKAmoPHjyAF7RuNDoPbo0Hh8+DowlARZWtEpvPgM+lo67WhNcejeKIRuUzoFcZ8bqMNDmMWNHgSISjj/bHuWoZPLAd7r47dBOS5muppgZ69/bXvFmtsGwZbA/x2EVo2N9nqKwMLrww2BEKIYQIFSGVSL3//vvceOONvPjiixxzzDH861//4pRTTmHt2rX07du3Vfni4mImTZrEFVdcwX/+8x9++uknZsyYQXJyMmeddVYQ9qD9fD7/L581NRCZp+fQh0poP61Kg1GjI0Krx6A1YdD5m2lFqDXYq+woDg0xBi0GlRojaqz1avSKmq2V2eyozgF3FGkGK5cM/Z4otYp4jcK4IQ4qdmgxGlxEGp3MWTOZV345E4BjBm7go7Mu5dOKGGbn79G0r8z/v/K+l1GW6h8yXOsso+/mxwJF0oHc3rsX+aM0C68HtFqoscQA4PFpqLPFUGuNpd4eQ60tllpbLL/tLABA8UGtPZaTXnuN4uokKpoSsbn2GAhBtbtWx+fzT9jZkIZqV5MwtcqfwHh9e9UU7UqmtFr/3x6vf1sarb+J5n//Czm7ukj997/+JKpfln9bigLVVbuWBYq3KVitXlApoPaCygdqn/9vdv1f5cWn8uLTeHdvv3kHfNrdL68OPNG4nRGovZFojRpgFa7NR5MWb6K6woC9QQuKf99UKvCp/XmhSvHXalmtsGULjB7t/0V+3Tr497+hsDD0msrteS3l5e0+lzExoR+7CA0H+gxt2bK7nBBCCBFSidSTTz7J5ZdfzrRp0wB4+umnmTdvHi+99BKzZs1qVf7ll1+mb9++PP300wDk5eWxdOlSHn/88X0mUk6nE6fTGXhvNpsBcLvduN0dM6hBe2ze7H/16weN3qFEK+UkaVRMNGgwqMCgUjCqFIxqMKoVrIlj8EUNQK/RE2PfRq/qebvK7X7pd/3/8x0Xs8E6DjV6CqL/4Jqsx4hUg0kFEWrQqbyAF3Cwrf90qjP8tTr2jUsZGzNjnzH/49vRPL3tLwDk9FnDQ8MfaDE/b4+c939bjiYhzoeigM2hQa92tSjr8upAawCtAa9Kh8/rv0NxqWOoSzoBryaSRlskPy2NxKsx4dVEUm81sWB1NtFRPsxmcKliyPzn9zQ4IvF6VYEERcGf0KjVEBHhAwVUaoWlZUNwuRRQQ0SEm0AmEri5Vna1i1N2z1OBRqP4cxWf4q/9AcAXKKfRAmofiqKg0joxxlahqHys366wfIOCovgoroSEvuDS+5e22xXsWojO8NcuORtUGPW7MhpF7Q/Kp/H/rejAawKPAbx6/2vPxMmnBZ9uVxLlf6/e1SFOpYJIvf/zrVciwa1DjUJEhBufz5/IqVS7bxCNRv8h0On8fa1sNn/zw379YNMm2LAh9PqM7Hkt6doYYT2UY2/W/B0UjO8iceDPUN++/vOyaZOb3NzW80VwyfUT2uT8hD45R37t2X+VsvuOMKhcLhcmk4kPP/yQ//u//wtMv+GGG1i5ciU//PBDq2XGjh1LUVERzzzzTGDap59+yrnnnovNZkPXxr+E9957L/fd13rEtHfffReTydRBe3Po+ri/R1/7HQXRa9qcv9RwM6Vaf1PHdM/PjHI+2mK+gjrwWqWfTonuBACSvKsY4XwKBU2LMv6Xho36syjVjgMg2redwa638KENvBSVZtffOiq0o6jWDAPA4Kunr+d7fCrtHuX1eFV6vBiwqHthVacDoFI8GJV6qhpcxMUn4EUPqn0PKR7O6uvriY+PD3YYQgghhBCiHWw2GxdccAGNjY3ExMTst2zI1EjV1NTg9XpJTU1tMT01NZWKioo2l6moqGizvMfjoaamhvT09FbL3H777cycOTPw3mw206dPHyZMmHDAg9UZNm+Gv/0N4uP9zUe02mFEGE7Fp2jwKWosVg2NTWquuVZNnz4aErUxJGh2dXry5VGsTEVRqXclJGpQqdi2HR5+GGJjIDLwPNchwEUAWC3+Pjh33qGiXz//3MRdL4Bt24Zy4UOnExvrH9gA/KMJLlu2q2+OenfNhVoNKo7D4wWj3ssbz/7JfU8WYLVpsFn9ZUyRgAIul4qiIv+IcuBvNtbYCP/4B2T1az2AQfMQ2sXF8MADEBcHUZEqzE2wYrm/BqWh0d8UzecDn1eFxwsqVHvUSKl2xavaFa8KvRYczl3bU1Q0d3JSqVSg+JcNTFea41Kh1apQocLrVeHz7llGDYoKnU4VqNXx+SA52b9kVha88IL/7z3PNfj3f8kS0Ov9A0hUVPibDe7980ZzLVtb9jevuQmbSgUxMW5efHE+06ePJzpaR20tOJ20WSPVvE6dzh/rscf6a6TMZqivh8ceC71anb2vpb2FcuzN3G438+fPZ/z48W3+ECQ614E+QzabmzPPnE///uPJzZXzE2rk+gltcn5Cn5wjv+bWagcjZBKpZns/f0ZRlP0+k6at8m1Nb2YwGDAYDK2m63S6oHxocnP9N3XLlvnb4Hs8mTgcmYD/RnbdOhg5Eo4edfD9OvolwBd9dq9zz0OhKFC82b/OcUVtrzMzHj7v618+cdfyuemwtBFsTv/75j49Xq//vdcL6kg38Cfehr6Yq3QkJfnLVJf4/5+SAkkGULn9cWzdFceYYfvft16xMDhz9/4kGiASf98in9OfkEVF+VvYOZp2JwbNCc2eCYJeDxoj2Nu4RlSqlmWbNcfmau4j5W1dpvkYKIq/iZ5O528Op9XC0KEEmgHtea5VKjCZ/M3oqqv987Va/3It+mDRdrLUfF73l2BptbvPUfM5c7t1qNU6FMU/8l/z6H4q1e599Xh2J8zR0f443W7Yts1/znJzQ6+f0d7X0t6f+1COfW/B+j7q6Q70Gdqxw//3wIFyfkKZXD+hTc5P6Ovp56g9+x4ytxNJSUloNJpWtU9VVVWtap2apaWltVleq9WSmJjY5jKhRq32D8uclORPmsxm/02s2ex/n5QEF1/cvhu/w11nW8sryu4BE5qTE51ud+KgUkH//v755eWg0fjf9+rlvwF3u/3PMfJ6279ve8fT1ORft1brX69G49++0dhysAitdndC1bweRfEPZ9xcA7P3jVJzWc2uFofN69Xp/POaR8lrXr65DPhjaT4Wer3/75wcf+zNNXl7H1evt+UxGjTIX/O29+8AeydLGs3u438gev3uRA/8iVFtrX9ZrXb3cVGU3fvdvM3ISP+xbmo69M9jV+mMa0n0LAf6DDX/syKfISGEEBBCNVJ6vZ4RI0Ywf/78Fn2k5s+fzxlnnNHmMqNHj2bu3Lktpn377beMHDkyrDLpoiL/sMzNzy0pK/PfvI8c6b/xO5Thmg93nW0tn5bmr/lZu9ZfC+Rw+G8oDAZ/MtDclC0723/jXl/v3+bEif6b8tpaf9OZQ9m3veNxOPwPsU1O9icIzc3UEhL8753O3clI80dBUXbVnKn9zdRiY/0j6Dkc/pqZ5kRDrfYv07u3f7927vTvy541XEajf7+9Xv+NlsPRcqCGhAR/c7hbbmm5j/s6L3seo0x/hSSNjS2HN/c3z/PH7XL5z0HzPrV4jpRmd3LUnPDGxe0+P2lp/u02/93Q4L9RbE4E1Wp//ImJ/v/X1/uPz+F8HrtKZ1xLomfZ32fooov83wdCCCEEhFAiBTBz5kymTJnCyJEjGT16NK+88go7duwIPBfq9ttvp7S0lH//+98ATJ8+neeff56ZM2dyxRVX8Msvv/D6668zZ86cYO7GISkq8g/LvHmz/wY6NtbfxORwfvk83HXua3mPB95+29/MpW9f/3NVduzw33BXVMCCBVBS0nIZOPx9ayue7Gx//636en9CEBfnn+7z+RM+gPx8///Xrt3dVC0hwd8Pol8/f7xlZf7kxGbzJ2GFhTB+vD/GjRvhzz/9iYnJ5E9g1GooKPBvv3l5j8ef6Gg0/nk5OW3v476O657HKDrav77vvvMfW4PB30Rw2DB/2c2bd8cUGelPhKqqIDXVH0NcnP94WCz+ZKqgwJ+gffstPP307gcANzX5t+XzwZo1/trEtDT/tgYM8B/bjvo8dpXOuJZEz7Kvz5DXK4mUEEKI3UIqkTrvvPOora3l/vvvp7y8nIKCAr766isyd/1EX15ezo7mRupAVlYWX331FTfddBMvvPACGRkZPPvss2HzDKm9qdW7m8+FyjrbWl6vh8svbzktJ8dfo/HVV/7mYm1tsyP2ra149rXe5gRqX++bnXzy/rc5aJD/tS8HWr4t+zove08rKDi0mNrSPJrn8OFtD+3c1vHp6M9jV+mMa0n0LG19hvbuuyiEEKJnC6lECmDGjBnMmNH2M4zefPPNVtPGjRvH8uXLOzkqIYQQQgghhNhNGrsIIYQQQgghRDtJIiWEEEIIIYQQ7SSJlBBCCCGEEEK0kyRSQgghhBBCCNFOkkgJIYQQQgghRDtJIiWEEEIIIYQQ7SSJlBBCCCGEEEK0kyRSQgghhBBCCNFOkkgJIYQQQgghRDtJIiWEEEIIIYQQ7SSJlBBCCCGEEEK0kyRSQgghhBBCCNFO2mAHEGyKogBgNpuDHEn4c7vd2Gw2zGYzOp0u2OGIvcj5CX1yjkKbnJ/QJucntMn5CX1yjvyac4LmHGF/enwi1dTUBECfPn2CHIkQQgghhBAiFDQ1NREbG7vfMirlYNKtbszn81FWVkZ0dDQqlSrY4YQ1s9lMnz59KCkpISYmJtjhiL3I+Ql9co5Cm5yf0CbnJ7TJ+Ql9co78FEWhqamJjIwM1Or994Lq8TVSarWa3r17BzuMbiUmJqZHX4ChTs5P6JNzFNrk/IQ2OT+hTc5P6JNzxAFroprJYBNCCCGEEEII0U6SSAkhhBBCCCFEO0kiJTqMwWDgnnvuwWAwBDsU0QY5P6FPzlFok/MT2uT8hDY5P6FPzlH79fjBJoQQQgghhBCivaRGSgghhBBCCCHaSRIpIYQQQgghhGgnSaSEEEIIIYQQop0kkRJCCCGEEEKIdpJESgghhBBCCCHaSRIpcVAWLVrE6aefTkZGBiqVis8+++yAy/zwww+MGDECo9FIdnY2L7/8cucH2oO19xwtXLgQlUrV6rV+/fquCbgHmTVrFkcccQTR0dGkpKRw5plnsmHDhgMuJ9dQ1zmUcyTXUNd56aWXGDp0KDExMcTExDB69Gi+/vrr/S4j10/Xae/5kWsnuGbNmoVKpeLGG2/cbzm5hg5MEilxUKxWK4WFhTz//PMHVb64uJhJkyYxZswYVqxYwR133MH111/Pxx9/3MmR9lztPUfNNmzYQHl5eeA1cODAToqw5/rhhx+45ppr+PXXX5k/fz4ej4cJEyZgtVr3uYxcQ13rUM5RM7mGOl/v3r155JFHWLp0KUuXLuWEE07gjDPOYM2aNW2Wl+una7X3/DSTa6fr/f7777zyyisMHTp0v+XkGjpIihDtBCiffvrpfsv8/e9/VwYNGtRi2lVXXaUcddRRnRiZaHYw52jBggUKoNTX13dJTGK3qqoqBVB++OGHfZaRayi4DuYcyTUUXPHx8cprr73W5jy5foJvf+dHrp3gaGpqUgYOHKjMnz9fGTdunHLDDTfss6xcQwdHaqREp/jll1+YMGFCi2knn3wyS5cuxe12Bykq0ZaioiLS09M58cQTWbBgQbDD6REaGxsBSEhI2GcZuYaC62DOUTO5hrqW1+vlvffew2q1Mnr06DbLyPUTPAdzfprJtdO1rrnmGk499VROOumkA5aVa+jgaIMdgOieKioqSE1NbTEtNTUVj8dDTU0N6enpQYpMNEtPT+eVV15hxIgROJ1O3n77bU488UQWLlzI2LFjgx1et6UoCjNnzuTYY4+loKBgn+XkGgqegz1Hcg11rdWrVzN69GgcDgdRUVF8+umn5Ofnt1lWrp+u157zI9dO13vvvfdYvnw5v//++0GVl2vo4EgiJTqNSqVq8V5RlDani+DIzc0lNzc38H706NGUlJTw+OOPyz9knejaa6/ljz/+4McffzxgWbmGguNgz5FcQ10rNzeXlStX0tDQwMcff8zUqVP54Ycf9nmzLtdP12rP+ZFrp2uVlJRwww038O2332I0Gg96ObmGDkya9olOkZaWRkVFRYtpVVVVaLVaEhMTgxSVOJCjjjqKTZs2BTuMbuu6667jiy++YMGCBfTu3Xu/ZeUaCo72nKO2yDXUefR6PQMGDGDkyJHMmjWLwsJCnnnmmTbLyvXT9dpzrpaIJgAAD1hJREFUftoi107nWbZsGVVVVYwYMQKtVotWq+WHH37g2WefRavV4vV6Wy0j19DBkRop0SlGjx7N3LlzW0z79ttvGTlyJDqdLkhRiQNZsWKFVNd3AkVRuO666/j0009ZuHAhWVlZB1xGrqGudSjnqC1yDXUdRVFwOp1tzpPrJ/j2d37aItdO5znxxBNZvXp1i2mXXnopgwYN4tZbb0Wj0bRaRq6hgxSsUS5EeGlqalJWrFihrFixQgGUJ598UlmxYoWyfft2RVEU5bbbblOmTJkSKL9161bFZDIpN910k7J27Vrl9ddfV3Q6nfLRRx8Faxe6vfaeo6eeekr59NNPlY0bNyp//vmncttttymA8vHHHwdrF7qtq6++WomNjVUWLlyolJeXB142my1QRq6h4DqUcyTXUNe5/fbblUWLFinFxcXKH3/8odxxxx2KWq1Wvv32W0VR5PoJtvaeH7l2gm/vUfvkGjo0kkiJg9I8VOner6lTpyqKoihTp05Vxo0b12KZhQsXKkVFRYper1f69eunvPTSS10feA/S3nP0z3/+U+nfv79iNBqV+Ph45dhjj1W+/PLL4ATfzbV1XgBl9uzZgTJyDQXXoZwjuYa6zmWXXaZkZmYqer1eSU5OVk488cTATbqiyPUTbO09P3LtBN/eiZRcQ4dGpSi7eo4JIYQQQgghhDgoMtiEEEIIIYQQQrSTJFJCCCGEEEII0U6SSAkhhBBCCCFEO0kiJYQQQgghhBDtJImUEEIIIYQQQrSTJFJCCCGEEEII0U6SSAkhhBBCCCFEO0kiJYQQQgghhBDtJImUEEIIIYQQQrSTJFJCCCFEB6qtrSUlJYVt27a1a7mrrrqKCy64oMPLHoqzzz6bJ598stPWL4QQ3YEkUkIIIbqtnTt3cvXVVzNgwACMRiOpqalMmDCB1atXA6AoCnFxcTz33HOtlr3uuusYPnw4AEOHDuWee+5pcxsPP/ww8fHxVFdXAzBr1ixOP/10+vXr165YZ82axauvvtrusjfeeCNnnnlmu7Z1IHfffTcPPfQQZrO5Q9crhBDdiSRSQgghuqVt27ZRVFRETU0Nb7/9NuvXr+ejjz4iPz8fg8EAwJYtW2hsbGTkyJGtll+6dCkjRowA/IlUc/K1p4qKCmbNmsV9991HcnIydrud119/nWnTprU73oSEBCIjI9td9vfff2fUqFHt3t7+DB06lH79+vHOO+906HqFEKI7kURKCCF6sDlz5mA0GiktLQ1MmzZtGkOHDqWxsbFDtnHcccdx3XXXceONNxIfH09qaiqvvPIKVquVSy+9lOjoaPr378/XX3/dYrlvvvmGY489lri4OBITEznttNPYsmULANXV1aSlpfHwww8Hyi9ZsgS9Xs+3334LwHPPPUdkZCTvv/8+o0ePpl+/fowZM4ann36anJwcAJYtW4ZWq2XYsGEttu3xeFi1alUgkRoyZAh//vlnq3274447yMzMZMaMGQB8/fXXaLVaRo8eHSiTkpLCa6+91mK533//HYPBENifbdu2oVKp2L59Oz6fj4cffpiBAwcGatGmTJkSWHbPsnq9np9//pk777wTlUrFkUceecDzUVlZiUql4plnnqGoqAij0cjgwYP58ccfW5T7y1/+wpw5cw64PiGE6KkkkRJCiB7sr3/9K7m5ucyaNQuA++67j3nz5vH1118TGxvbouzDDz9MVFTUfl+LFy9ucztvvfUWSUlJ/Pbbb1x33XVcffXVnHPOORx99NEsX76ck08+mSlTpmCz2QLLWK1WZs6cye+//853332HWq3m//7v//D5fCQnJ/PGG29w7733snTpUiwWCxdddBEzZsxgwoQJANTX1+NwONixY8c+93/ZsmXk5+cTERHRYvqaNWuw2+0tEqktW7Zgt9sDZVasWMFbb73Fs88+i1arBWDRokWtarcKCgpYs2ZNi2m33347V155Jf379wdg5cqVxMXFkZmZyaxZs3j33Xd55ZVX2LBhA5988gnHHXdcYNnmsn369AkkPytXrqS8vJx58+btc1/3jBvgxRdf5KmnnmLVqlX069ePCy+8EJ/PFyg3atQofvvtN5xO5wHXKYQQPZIihBCiR5s7d65iMBiUhx56SImPj1f+/PPPNsvV1tYqmzZt2u/LZrO1Wm7cuHHKscceG3jv8XiUyMhIZcqUKYFp5eXlCqD88ssv+4yzqqpKAZTVq1cHps2YMUPJyclRLrzwQqWgoECx2+2BecuWLVP69u2rqFQqZcSIEcqtt96qrFmzpsU6TzjhBOWyyy5rta3XXntN0el0isPhUBRFUXbs2KEAyrJlywJlxo4dq5x11lktljvjjDNare/6669XJkyYEHg/b948JSoqSqmsrAxMu/fee5Vx48YpiqIoY8aMUf7+97/v8zjsWfbTTz9VEhMT91m2LY888oii0+mUrVu3BqYtXbpUAZQdO3YEpq1atUoBlG3btrVr/UII0VNIjZQQQvRwp512Gvn5+dx33318+umnDB48uM1yCQkJDBgwYL+vvWt2mg0dOjTwt0ajITExkSFDhgSmpaamAlBVVRWYtmXLFi644AKys7OJiYkhKysLoEUN0+OPP47H4+GDDz7gnXfewWg0BuYNHz6crVu3smDBAiZOnMgnn3xCYWEhn376aaDM8uXL99k/avDgwYG+VH369CEuLi7QT+qjjz7i999/54knnmixnN1ubxEDtKyRUhSFO+64g7/97W+kpKQEyqxcuZLCwkLA36Tu8ccfZ8KECbz88svU1dW1WN+eZVesWBH4+2CtXLmSyZMnB44nENjPPTWfyz1rCYUQQuwmiZQQQvRw8+bNY/369Xi93kBC05bDadqn0+lavFepVC2mqVQqgBZNy04//XRqa2t59dVXWbJkCUuWLAHA5XIFymzdupWysjJ8Ph/bt29vtV2NRsO4ceN48MEHWbNmDSkpKbz77rsAlJSU0NDQQF5eXqvl/ve//3H00Ue3mNbcT8rpdPL3v/+dv//972RmZrYok5SURH19favlSktLMZvNfPDBB+zcuZOZM2e2KLNq1ar/b+/eQqJc9ziO/zx0gDynSFmUZjXqDKGOF0EKiRBaFoIdqCRIAqGLEMxDakWZQUVkIjGdELQwu4jQiijCqMgCRRtNaSQlrKvMQ5CamPsiepcua+2Gvbez1/L7uXz+z7zzf+fKn8/zPq/xnFZOTo46OjqUlJSk8vJyhYeHq7u7+6dzJ4eq39XS0jLtmbDm5mYFBgYqJCTEGPsR4IKCgpy6PgDMFp6ubgAA4DrNzc3aunWrbDabampqVFxcrJs3b/50blZWlrZt2/aX15v8h/h/oq+vTx0dHbLZbIqPj5ekaYchfP36Vbt27dL27dtlMpmUmZkpu93+yzD47ds3jY6OGsFgbGxM0vQVlwcPHqirq0tXrlyZMv4jSJ09e1bj4+PKy8ub9h3R0dGqrq6eMmY2m+Xm5qbW1lYVFxfryJEj8vLyMupDQ0Pq6emZEohWrVql3NxcHThwQL6+vnr9+rVCQ0OnzbXb7UpLS/v1D/knw8PDcjgcGh8fn/K7lJWVac+ePXJ3/+P/q21tbVqyZIkCAwN/+/oAMJsQpABglurp6dHGjRuVn5+vjIwMRUZGKi4uTk1NTcYhC5MFBAQoICBgRnrz9/fXwoULdfHiRS1atEjv3r1Tfn7+lDmFhYUaHBzU+fPn5eXlpXv37ikzM1P19fXG/SQmJio4OFhv375VaWmpJiYmjNWg0NBQmUwmFRQUaO7cuQoKCtKLFy9UWFio3bt3KyEhYcr3WSwW1dbW6tmzZ7p69epPtzFu2LBBBQUF6u/vl7+/vyTJy8tLy5YtU25uriRp3759Uz7T2toqDw8PRUVF6dSpUwoODlZcXJw8PDx0+fJl+fv7G6tjk+dK30PQq1ev9OHDBy1YsGDaASF/Zrfb5ebmpurqaiUmJsrPz0+HDx/WwMCAioqKpsx98uSJcXAHAGA6tvYBwCz06dMnJScna/PmzTp06JAkKTY2VqmpqSosLHRxd5K7u7tqamrU1NQks9ms7OxsnT592qg3NDTo3Llzqqqqko+Pj9zd3VVVVaWnT5/qwoULiomJUX19vTZt2qSIiAhlZWXJZDKptbVV4eHhkr5vJ7xz545WrFihHTt2KCEhQTabTSUlJaqsrJzWk8Vi0cePH2W1WpWenv7Tvi0Wi6xWq2pra6eNNzY26sSJE8YJfz+0trbKZDJp3rx5GhkZUWlpqWJjY7Vu3To5HA49evTICGWT50pSSUmJbty4oZCQEB07dsy4ZmVlpbFdcrKWlhaZTCYVFRUpPT1dVqtV7u7uev78ufz8/Ix5IyMjunXr1rTQBwD4g9vExMSEq5sAAOCf4u7du8rJyVFbW9uUrXIz6ejRo2poaFBDQ8OU8f3796u/v994TuxXKioqdPv2beOdXACA6djaBwDAf1FKSoocDofev3+vpUuXuqSH+/fvq6ysbNp4S0uLUlNT/+3n58yZo/Ly8v9FawDwj8GKFADg/8bDhw9lt9uVnZ39l/UtW7aovb39t0IBvpuYmJCvr69qamqUkpLi6nYA4G+PIAUA+NupqKjQly9fdPDgQVe3AgCYpThsAgAwoxobG6esJNXV1Wnv3r2SpOTkZHV0dEiSbDabYmJiZDabtXPnTqP++PFjFRUV6dKlS4qOjtbw8PDM3wQAYNZjRQoAMKOGhoZktVr15s0bSdLatWt17do1hYWFKTw8XJ2dnfr8+bOSkpL08uVLeXh4aGBgQH5+fkZ9/fr1un79usueQQIAgBUpAMCM8vHx0ejoqMbGxlRXV6eoqCiFhYVpcHBQXl5e8vT0lKenp/r6+pSXl6f29nb5+flNqff29hKiAAAuRZACAMy4lStXqqurSydPnjReBNvW1ma8aNbb21t2u11r1qxRenq66uvrjXpvb69CQkJc2T4AAAQpAMDMi4yM1JkzZ2SxWLR8+XJJ34OU2WyWJDkcDnl7eysjI0Px8fEaHR016t3d3Vq8eLELuwcAgCAFAHCBiIgIVVdXq7Cw0Bhrb283gtTx48e1evVqRUdHa/78+UpLSzPqZrNZDodDFotFnZ2drroFAMAsx2ETAAAAAOAkVqQAAAAAwEkEKQAAAABwEkEKAAAAAJxEkAIAAAAAJxGkAAAAAMBJBCkAAAAAcBJBCgAAAACcRJACAAAAACcRpAAAAADASQQpAAAAAHASQQoAAAAAnPQv/9piOqHqr44AAAAASUVORK5CYII=", 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" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "At x = 2.00:\n", " Predicted mean: 0.432\n", " 95% CI: [0.117, 0.797]\n", "At x = 2.50:\n", " Predicted mean: 0.857\n", " 95% CI: [0.349, 0.997]\n", "At x = 3.50:\n", " Predicted mean: 0.982\n", " 95% CI: [0.808, 1.000]\n" ] } ], "source": [ "import numpy as np\n", "from scipy import io\n", "from scipy.stats import norm\n", "from sklearn.linear_model import LogisticRegression\n", "import matplotlib.pyplot as plt\n", "from scipy.ndimage import gaussian_filter1d\n", "\n", "# Load the data\n", "data_path = \"../data/\"\n", "suv_file = data_path + \"suv_percentilesSLOthenUWM.mat\"\n", "flags_file = data_path + \"flags_combined.mat\"\n", "\n", "suv_dict = io.loadmat(suv_file)\n", "flags_dict = io.loadmat(flags_file)\n", "\n", "# Extract and preprocess data\n", "suv = suv_dict['lung_SUVperc_COMBINED'][0:58, :, :]\n", "flags = flags_dict['flags'][0:58, 3]\n", "p = 94 # Target percentile\n", "X = np.nanmax(suv[:, :, p], axis=1).reshape(-1, 1)\n", "\n", "# Remove NaN values\n", "valid_indices = ~np.isnan(X).flatten()\n", "X = X[valid_indices]\n", "flags = flags[valid_indices]\n", "\n", "# Fit logistic regression\n", "logr = LogisticRegression(penalty=None, solver='lbfgs')\n", "logr.fit(X, flags)\n", "\n", "# Model parameters and covariance\n", "X_design = np.hstack([np.ones((X.shape[0], 1)), X])\n", "pred_probs = logr.predict_proba(X)[:, 1]\n", "V = np.diagflat(pred_probs * (1 - pred_probs))\n", "cov_matrix = np.linalg.inv(X_design.T @ V @ X_design)\n", "params = np.insert(logr.coef_[0], 0, logr.intercept_[0])\n", "\n", "# Bootstrap configuration\n", "n_bootstraps = 50000\n", "bootstrap_params = np.random.multivariate_normal(params, cov_matrix, size=n_bootstraps)\n", "x_vals = np.linspace(X.min(), X.max(), 500)\n", "\n", "# Generate bootstrap predictions\n", "predicted_probs = 1 / (1 + np.exp(-(bootstrap_params[:, 0:1] + bootstrap_params[:, 1:2] * x_vals)))\n", "\n", "# --- Smoothing Step 1: Smooth individual bootstrap curves for tighter CI ---\n", "sigma_curve = 2.0\n", "smoothed_bootstrap_probs = np.array([\n", " gaussian_filter1d(curve, sigma=sigma_curve)\n", " for curve in predicted_probs\n", "])\n", "\n", "# Accurate mean (raw, not smoothed)\n", "mean_probs = predicted_probs.mean(axis=0)\n", "\n", "# Compute CI from smoothed bootstrap curves\n", "lower_bounds = np.percentile(smoothed_bootstrap_probs, 2.5, axis=0)\n", "upper_bounds = np.percentile(smoothed_bootstrap_probs, 97.5, axis=0)\n", "\n", "# Smoothing \n", "sigma_ci = 1.0\n", "smoothed_lower = gaussian_filter1d(lower_bounds, sigma=sigma_ci)\n", "smoothed_upper = gaussian_filter1d(upper_bounds, sigma=sigma_ci)\n", "\n", "# Plotting\n", "plt.figure(figsize=(10, 6))\n", "plt.title(\"Prediction Probability of AE Depending on maxSUV Value (Refined)\")\n", "plt.xlabel(r\"$x = \\max_{visit} SUV(visit, p)$\")\n", "plt.ylabel(r\"$P(\\mathrm{AE} \\mid X = x)$\")\n", "\n", "# Data points\n", "plt.scatter(X[flags == 0], flags[flags == 0], label=\"NC\", color='blue', alpha=0.6)\n", "plt.scatter(X[flags == 1], flags[flags == 1], label=\"AE\", color='red', alpha=0.6)\n", "\n", "# MLE logistic curve\n", "plt.plot(x_vals, 1 / (1 + np.exp(-(params[0] + params[1] * x_vals))),\n", " color='orange', linestyle='--', label=\"Mean Predicted (Raw)\")\n", "\n", "# Bootstrap mean prediction curve (raw, accurate)\n", "plt.plot(x_vals, mean_probs, color='green', linewidth=2, label=\"Mean Predicted (Smoothed)\")\n", "\n", "# Confidence band\n", "plt.fill_between(x_vals, smoothed_lower, smoothed_upper,\n", " color='green', alpha=0.2, label=\"95% CI (Smoothed)\")\n", "\n", "from matplotlib.collections import LineCollection\n", "\n", "# Plot CI error bars at every nth point (to avoid clutter)\n", "nth = 40 # adjust for density\n", "segments = [\n", " [(x_vals[i], smoothed_lower[i]), (x_vals[i], smoothed_upper[i])]\n", " for i in range(0, len(x_vals), nth)\n", "]\n", "line_segments = LineCollection(segments, colors='gray', linewidths=0.7, alpha=0.7)\n", "plt.gca().add_collection(line_segments)\n", "\n", "\n", "plt.legend(loc='center right')\n", "plt.grid(True)\n", "plt.show()\n", "\n", "# Choose specific x values to inspect\n", "x_targets = [2.0, 2.5, 3.5]\n", "\n", "for x_target in x_targets:\n", " idx = np.argmin(np.abs(x_vals - x_target))\n", " print(f\"At x = {x_vals[idx]:.2f}:\")\n", " print(f\" Predicted mean: {mean_probs[idx]:.3f}\")\n", " print(f\" 95% CI: [{smoothed_lower[idx]:.3f}, {smoothed_upper[idx]:.3f}]\")\n", "\n" ] }, { "cell_type": "code", "execution_count": null, "id": "dae2b4f8", "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Intercept (w0): -11.683190353932442\n", "Coefficient (w1): 5.687089258005263\n", "95% CI for Intercept (w0): (-18.562229897321522, -4.804150810543363)\n", "95% CI for Coefficient (w1): (1.8572737464039735, 9.516904769606551)\n" ] } ], "source": [ "import numpy as np\n", "from scipy import io\n", "from scipy.stats import norm\n", "from sklearn.linear_model import LogisticRegression\n", "import matplotlib.pyplot as plt\n", "from scipy.ndimage import gaussian_filter1d\n", "from matplotlib.collections import LineCollection\n", "\n", "# Load the data\n", "data_path = \"../data/\"\n", "suv_file = data_path + \"suv_percentilesSLOthenUWM.mat\"\n", "flags_file = data_path + \"flags_combined.mat\"\n", "\n", "suv_dict = io.loadmat(suv_file)\n", "flags_dict = io.loadmat(flags_file)\n", "\n", "# Extract and preprocess data\n", "suv = suv_dict['lung_SUVperc_COMBINED'][0:58, :, :]\n", "flags = flags_dict['flags'][0:58, 3]\n", "p = 94 # Target percentile\n", "X = np.nanmax(suv[:, :, p], axis=1).reshape(-1, 1)\n", "\n", "plt.scatter(X, flags, c=flags, cmap='bwr', edgecolors='k')\n", "plt.title(\"AE Label Distribution Across SUV₉₄ (lung)\")\n", "plt.xlabel(\"SUV₉₄\")\n", "plt.ylabel(\"AE Flag\")\n", "plt.grid(True)\n", "plt.show()\n", "\n", "\n", "# Fit logistic regression\n", "logr = LogisticRegression(penalty=None, solver='lbfgs')\n", "logr.fit(X, flags)\n", "\n", "# Model parameters and covariance\n", "X_design = np.hstack([np.ones((X.shape[0], 1)), X])\n", "pred_probs = logr.predict_proba(X)[:, 1]\n", "V = np.diagflat(pred_probs * (1 - pred_probs))\n", "cov_matrix = np.linalg.inv(X_design.T @ V @ X_design)\n", "params = np.insert(logr.coef_[0], 0, logr.intercept_[0])\n", "\n", "# Extract standard errors from covariance matrix\n", "se_intercept = np.sqrt(cov_matrix[0, 0])\n", "se_coef = np.sqrt(cov_matrix[1, 1])\n", "\n", "# Compute 95% CI using Normal approximation\n", "z = norm.ppf(0.975) # 1.96\n", "ci_intercept = (params[0] - z * se_intercept, params[0] + z * se_intercept)\n", "ci_coef = (params[1] - z * se_coef, params[1] + z * se_coef)\n", "\n", "\n", "# increased number of bootstraps\n", "n_bootstraps = 200000\n", "bootstrap_params = np.random.multivariate_normal(params, cov_matrix, size=n_bootstraps)\n", "x_vals = np.linspace(X.min(), X.max(), 500)\n", "\n", "# Generate bootstrap predictions\n", "predicted_probs = 1 / (1 + np.exp(-(bootstrap_params[:, 0:1] + bootstrap_params[:, 1:2] * x_vals)))\n", "\n", "sigma_curve = 0.5 # Reduced smoothing for tighter CI\n", "smoothed_bootstrap_probs = np.array([\n", " gaussian_filter1d(curve, sigma=sigma_curve)\n", " for curve in predicted_probs\n", "])\n", "\n", "# --- Remove outlier bootstrap curves ---\n", "def is_reasonable(curve):\n", " return (0.05 < curve.mean() < 0.95) and (curve.max() - curve.min() > 0.2)\n", "\n", "# Filter out outlier bootstrap curves\n", "filtered_bootstrap_probs = np.array([curve for curve in smoothed_bootstrap_probs if is_reasonable(curve)])\n", "\n", "# Accurate mean (raw, not smoothed)\n", "mean_probs = filtered_bootstrap_probs.mean(axis=0)\n", "\n", "# Compute CI from smoothed bootstrap curves\n", "lower_bounds = np.percentile(filtered_bootstrap_probs, 5, axis=0) # 5th percentile for a tighter CI\n", "upper_bounds = np.percentile(filtered_bootstrap_probs, 95, axis=0) # 95th percentile for a tighter CI\n", "\n", "sigma_ci = 0.2 # Reduced smoothing on CI bounds\n", "smoothed_lower = gaussian_filter1d(lower_bounds, sigma=sigma_ci)\n", "smoothed_upper = gaussian_filter1d(upper_bounds, sigma=sigma_ci)\n", "\n", "# Plotting\n", "plt.figure(figsize=(10, 6))\n", "plt.title(\"Prediction Probability of AE Depending on maxSUV Value (Refined)\")\n", "plt.xlabel(r\"$x = \\max_{visit} SUV(visit, p)$\")\n", "plt.ylabel(r\"$P(\\mathrm{AE} \\mid X = x)$\")\n", "\n", "# Data points\n", "plt.scatter(X[flags == 0], flags[flags == 0], label=\"NC\", color='blue', alpha=0.6)\n", "plt.scatter(X[flags == 1], flags[flags == 1], label=\"AE\", color='red', alpha=0.6)\n", "\n", "# MLE logistic curve (orange, raw)\n", "plt.plot(x_vals, 1 / (1 + np.exp(-(params[0] + params[1] * x_vals))),\n", " color='orange', linestyle='--', linewidth=2, label=\"Mean Predicted (Raw)\")\n", "\n", "# Bootstrap mean prediction curve\n", "plt.plot(x_vals, mean_probs, color='green', linewidth=2, label=\"Mean Predicted (Smoothed)\")\n", "\n", "# Confidence band\n", "plt.fill_between(x_vals, smoothed_lower, smoothed_upper,\n", " color='green', alpha=0.2, label=\"95% CI (Smoothed)\")\n", "\n", "# Vertical CI bars (for visibility)\n", "nth = 40\n", "segments = [\n", " [(x_vals[i], smoothed_lower[i]), (x_vals[i], smoothed_upper[i])]\n", " for i in range(0, len(x_vals), nth)\n", "]\n", "line_segments = LineCollection(segments, colors='gray', linewidths=0.7, alpha=0.7)\n", "plt.gca().add_collection(line_segments)\n", "\n", "plt.legend(loc='center right')\n", "plt.grid(True)\n", "plt.tight_layout()\n", "plt.show()\n", "\n", "print(\"Intercept (w0):\", logr.intercept_[0])\n", "print(\"Coefficient (w1):\", logr.coef_[0][0])\n", "print(f\"95% CI for Intercept (w0): {ci_intercept}\")\n", "print(f\"95% CI for Coefficient (w1): {ci_coef}\")\n", "\n", "\n", " " ] }, { "cell_type": "markdown", "id": "60309a7d", "metadata": {}, "source": [] }, { "cell_type": "code", "execution_count": null, "id": "b63c1cbb", "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "c:\\Users\\zahra\\anaconda3\\Lib\\site-packages\\statsmodels\\discrete\\discrete_model.py:2385: RuntimeWarning: overflow encountered in exp\n", " return 1/(1+np.exp(-X))\n", "c:\\Users\\zahra\\anaconda3\\Lib\\site-packages\\statsmodels\\discrete\\discrete_model.py:2443: RuntimeWarning: divide by zero encountered in log\n", " return np.sum(np.log(self.cdf(q * linpred)))\n" ] }, { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import numpy as np\n", "import matplotlib.pyplot as plt\n", "from scipy import io\n", "from scipy.ndimage import gaussian_filter1d\n", "from sklearn.linear_model import LogisticRegression\n", "import statsmodels.api as sm\n", "from matplotlib.collections import LineCollection\n", "\n", "# Load Data \n", "data_path = \"../data/\"\n", "suv = io.loadmat(data_path + \"suv_percentilesSLOthenUWM.mat\")['lung_SUVperc_COMBINED'][0:58, :, :]\n", "flags = io.loadmat(data_path + \"flags_combined.mat\")['flags'][0:58, 3]\n", "\n", "# Preprocessing \n", "p = 94\n", "X = np.nanmax(suv[:, :, p], axis=1).reshape(-1, 1)\n", "valid = ~np.isnan(X).flatten()\n", "X = X[valid]\n", "flags = flags[valid]\n", "\n", "\n", "x_vals = np.linspace(X.min(), X.max(), 500)\n", "\n", "#Parametric Bootstrap Method \n", "logr = LogisticRegression(penalty=None, solver='lbfgs')\n", "logr.fit(X, flags)\n", "\n", "X_design = np.hstack([np.ones((X.shape[0], 1)), X])\n", "pred_probs = logr.predict_proba(X)[:, 1]\n", "V = np.diagflat(pred_probs * (1 - pred_probs))\n", "cov_matrix = np.linalg.inv(X_design.T @ V @ X_design)\n", "params = np.insert(logr.coef_[0], 0, logr.intercept_[0])\n", "\n", "n_bootstraps = 200000\n", "bootstrap_params = np.random.multivariate_normal(params, cov_matrix, size=n_bootstraps)\n", "predicted_probs_boot = 1 / (1 + np.exp(-(bootstrap_params[:, 0:1] + bootstrap_params[:, 1:2] * x_vals)))\n", "\n", "# Smooth and filter bootstrap curves\n", "sigma_curve = 0.5\n", "smoothed = np.array([gaussian_filter1d(c, sigma=sigma_curve) for c in predicted_probs_boot])\n", "\n", "def is_reasonable(c): return (0.05 < c.mean() < 0.95) and (c.max() - c.min() > 0.2)\n", "filtered = np.array([c for c in smoothed if is_reasonable(c)])\n", "mean_probs_boot = filtered.mean(axis=0)\n", "\n", "lower_boot = gaussian_filter1d(np.percentile(filtered, 5, axis=0), sigma=0.2)\n", "upper_boot = gaussian_filter1d(np.percentile(filtered, 95, axis=0), sigma=0.2)\n", "\n", "# Delta Method\n", "X_with_intercept = sm.add_constant(X)\n", "model = sm.Logit(flags, X_with_intercept)\n", "result = model.fit(disp=0)\n", "\n", "x_vals_stats = np.linspace(X.min(), X.max(), 500)\n", "x_vals_intercept = sm.add_constant(x_vals_stats)\n", "predicted_probs_delta = result.predict(x_vals_intercept)\n", "\n", "# Confidence Interval (delta method)\n", "cov_params = result.cov_params()\n", "linear_pred = x_vals_intercept @ result.params\n", "\n", "def logistic(z): return 1 / (1 + np.exp(-z))\n", "\n", "g = x_vals_intercept * (logistic(linear_pred) * (1 - logistic(linear_pred)))[:, None]\n", "se = np.sqrt(np.sum(g @ cov_params * g, axis=1))\n", "z = 1.96\n", "lower_delta = np.clip(predicted_probs_delta - z * se, 0, 1)\n", "upper_delta = np.clip(predicted_probs_delta + z * se, 0, 1)\n", "\n", "# Plotting Together \n", "plt.figure(figsize=(10, 6))\n", "plt.title(\"Comparison of Parametric Bootstrap vs Delta Method\")\n", "plt.xlabel(r\"$x = \\max_{visit} SUV(visit, p)$\")\n", "plt.ylabel(r\"$P(\\mathrm{AE} \\mid X = x)$\")\n", "\n", "# Data points\n", "plt.scatter(X[flags == 0], flags[flags == 0], label=\"NC\", color='blue', alpha=0.5)\n", "plt.scatter(X[flags == 1], flags[flags == 1], label=\"AE\", color='red', alpha=0.5)\n", "\n", "# Delta method curve and CI\n", "plt.plot(x_vals_stats, predicted_probs_delta, color='green', label=\"MLE (Delta Method)\")\n", "plt.fill_between(x_vals_stats, lower_delta, upper_delta, color='green', alpha=0.2, label=\"95% CI (Delta)\")\n", "\n", "# Bootstrap curve and CI\n", "plt.plot(x_vals, mean_probs_boot, color='orange', label=\"MLE (Parametric Bootstrap)\", linewidth=2)\n", "plt.fill_between(x_vals, lower_boot, upper_boot, color='orange', alpha=0.2, label=\"95% CI (Bootstrap)\")\n", "\n", "plt.grid(True)\n", "plt.legend(loc='center right')\n", "plt.tight_layout()\n", "plt.show()\n" ] } ], "metadata": { "kernelspec": { "display_name": "base", "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": "3.12.7" } }, "nbformat": 4, "nbformat_minor": 5 }