{ "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=", 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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", "\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": [ { "data": { "image/png": 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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 # Critical import 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", "# 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 = 20000 # Increased for stability\n", "bootstrap_params = np.random.multivariate_normal(params, cov_matrix, size=n_bootstraps)\n", "x_vals = np.linspace(X.min(), X.max(), 500) # Reduced resolution\n", "\n", "# Generate bootstrap predictions\n", "predicted_probs = 1 / (1 + np.exp(-(bootstrap_params[:, 0:1] + bootstrap_params[:, 1:2] * x_vals)))\n", "\n", "# --- Key Smoothing Step 1: Smooth individual bootstrap curves ---\n", "sigma_curve = 2.5 # Controls smoothness of each bootstrap curve\n", "smoothed_bootstrap_probs = np.array([\n", " gaussian_filter1d(prob_curve, sigma=sigma_curve) \n", " for prob_curve in predicted_probs\n", "])\n", "\n", "# Calculate the mean of the smoothed bootstrap probabilities (mean curve)\n", "mean_smoothed_probs = smoothed_bootstrap_probs.mean(axis=0)\n", "\n", "# Calculate CIs from smoothed 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", "# --- Key Smoothing Step 2: Light post-smoothing of CI bounds ---\n", "sigma_ci = 1.2 # Final touch for CI smoothness\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(\"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", "# 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", "# Mean logistic curve (no additional smoothing needed)\n", "plt.plot(x_vals, 1 / (1 + np.exp(-(params[0] + params[1] * x_vals))), \n", " color='orange', linestyle='--', label=\"Logistic (MLE)\")\n", "\n", "# Plot the mean of the smoothed bootstrap curves\n", "plt.plot(x_vals, mean_smoothed_probs, color='green', label=\"Mean Bootstrap Curve\", linewidth=2)\n", "\n", "# Confidence bands\n", "plt.fill_between(x_vals, smoothed_lower, smoothed_upper,\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": 1, "id": "36e9c0c3", "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, 17 Apr 2025 Pseudo R-squ.: inf\n", "Time: 23:13:27 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" ] }, { "data": { "image/png": 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WgwcPdlu2bdu2ol69esJut5d9oP5f8efKihUrXNP2798vAIhnn3221OcUf8YtWbJEKBQKcenSJde8a0mc+vbtK+rWrev6B12xyZMni8DAQLftEEmBTfWIakiHDh2gVCoREhKCm266CXFxcfjxxx8RGxvrttxtt93m9vfq1asRHh6OQYMGwWazuR6tWrVCXFycq6ncL7/8AgAl+ksNHToUAQFX7754+PBh/Pvvvxg3bhwCAwOvcU+dNmzYAK1WW6JTf3F1v59//tltevfu3RESEuL6OzY2FjExMW7NpK5m6tSpUCqVCAwMRNu2bXHq1Cl8+OGHGDBggNtyVx7f4uN2edVBAGjfvj0yMjJKxBkSEoLBgwe7TRs+fDgcDgc2b97smrZhwwb06tULYWFhUCgUUCqVmDZtGnJzc3HhwgW35zdt2hQtW7Yssc7CwkL8+eefFdr/qujWrRtatmzp1uxl3rx5kMlkGD9+/FWfu2HDBjRp0gTt27d3mz569GgIIbBhw4YqxbRp0yYcPXoUo0aNgkKhAOBsNieTyUptkgY4O73v3LnT7VEdVQTFFc0qV69eDZlMhhEjRri9F+Pi4tCyZcsSTV8r8lqp6Pu7WKtWrZCUlOT6OzAwEI0aNXJ7n/zyyy/o2bOn22eLQqHAsGHDKrzvAwcOdB1/AK5KbMXbOXToELKzszF06FC35yUlJaFTp07lrr+y77u4uLgSr7UWLVpU+POhe/fubkV4MjIyAAD9+/d36+NYPP3y9V64cAETJkxAvXr1EBAQAKVSieTkZADAwYMH3bYzdOhQTJw4EU888QRefPFFPPPMM+jdu7fbMqmpqdi7dy82bdqEmTNnolevXti5cycmT56MG264ASaTqUL7VJrg4GAMHToUa9ascRVX2b9/P3bt2oXRo0dXqCng0KFDERIS4vZ+W7hwIWQyGcaMGeOatnv3bgwePBiRkZGuz7iRI0fCbrfj8OHDVd6HYiaTCT///DNuueUWBAUFub0/BgwYAJPJVGrzUSJPYnEIohqyZMkSZGRkICAgALGxsaW2cQ8KCkJoaKjbtPPnzyM/Px8qlarU9Ra3s8/NzQXgvMC4XEBAwFXbtANw9aUoq/N9VeTm5rrKSV8uJiYGAQEBrniLlRajWq2G0Wis0PYefvhhjBgxAnK5HOHh4a5+WFe68rgXx1Ha+UhISChxYXZlogv8d8yL17Vjxw706dMH3bp1w/z581G3bl2oVCqsWrUKL730Uol9uvKclbbOmvLQQw/h3nvvxaFDh9CgQQPMnz8ft99+e6kxXS43N7fUfiwJCQmu+VWxYMECAMAtt9ziKnsfFhaGG2+8Ed988w3ef//9EhUdW7ZsWeXiEFdTfO6L9+n8+fMQQpT6GgCcFfouV5HXSkXf38Uq8j4pfu+Vte2KuHI7arUaAFzbKY6/tH2MjY3F8ePHr7r+yr7vrvXzISIiwu3v4uNd1vTi5MXhcKBPnz44d+4cnnvuOTRv3hxarRYOhwMdOnQodftjx47F3LlzoVKp8NBDD5Uaj1wuR5cuXdClSxcAzoqO48aNw5dffomFCxdi0qRJAJwJ75V94ooV92NSKpVu08eNG4eFCxdi6dKlePzxx0tNeq4mKCgId955JxYtWoTs7GxERUXh008/RdeuXV3FZ06dOoXOnTsjPT0d77zzDlJSUhAYGIgdO3bggQceqPB5uZrc3FzYbDa89957eO+990pd5sr3B5GnMXEiqiEZGRmuqnplKe1CPyoqCpGRkVi7dm2pzym+S1N8YZGdnY3ExETXfJvNVu5FbHGFpLKKIVRFZGQktm/fDiGE235duHABNput2i9069atW+7xBUoe4+LjlpWVVSJxPHfuXIk4i/+Le7ns7Gy3dX3xxRdQKpVYvXq12x28su6CFD//auusKcOHD8fUqVPxwQcfoEOHDsjOzsYDDzxQ7vMiIyORlZVVYvq5c+cAoErnt6CgAN988w0A4Lrrrit1mc8++8x1UVnTvvvuO8hkMtfFbVRUFGQyGbZs2eJKJC535bSKvFYq+v6ujMjIyKu+pqpDcfxX28eKPL+i7zup7N+/H3v37sXixYsxatQo1/QrC0gU0+v1uOeee9CoUSOcP38e9957L7799ttyt6PVavH000/jyy+/xP79+13TY2Njyxzvr3j6lclrx44dkZGRgUWLFuHhhx/Gp59+ih49eqB+/frlxlFs3LhxmD9/PpYsWYJGjRrhwoULePPNN13zV61aBb1ejxUrVrjuvgHAnj17yl138WfilUWCrvyeqlOnDhQKBe65554yP5Mqs09ENYFN9Yi8zE033YTc3FzY7Xa0a9euxCM9PR0AXJWxisekKfbVV1+VqLB0pUaNGiE1NRULFy4s8WV2uSv/63w1PXv2hE6nK5EsLFmyxDXfG/To0QMA8Omnn7pN37lzJw4ePFgizqKiInz33Xdu0z777DPXf5ABuAY6vrypk9FoxNKlS0uN4e+//8bevXtLrDMkJARt2rSp2o5d5mr/mQ8MDMT48ePxySef4K233kKrVq0q1NSqZ8+eOHDgQImmhEuWLIFMJkP37t0rHednn30Go9GIF154Ab/88kuJR1RUVJnN9arbokWL8OOPP+Kuu+5yNY276aabIITA2bNnS30vNm/e3G0dFXmtVPT9XRndu3fHzz//7JbU2O32ai2rnp6ejri4OHz11Vdu00+dOoWtW7eW+/zKvu+kUvyPliuT4g8//LDU5SdMmIBTp05hxYoVWLBgAb777ju8/fbbbsuU9g8H4L9mf8V3OAGgV69e+OWXX0pUWBRCYPny5UhJSUFaWlqJdY0dOxYHDhzA//73P1y8eNFVCa+irr/+ejRr1gyLFi3CokWLEBYW5tbMubTjIoQoc+iHy8XGxiIwMBB//fWX2/QrE8ygoCB0794du3fvRosWLUp9f9T0P5aIysM7TkRe5s4778SyZcswYMAAPPzww2jfvj2USiXOnDmDX375BUOGDMEtt9yCjIwMjBgxArNnz4ZSqUSvXr2wf/9+vPHGGyWa/5Xmgw8+wKBBg9ChQwdMmTIFSUlJOHXqFNatW+dKxoovDN955x2MGjUKSqUS6enppf5XfOTIkfjggw8watQonDhxAs2bN8evv/6Kl19+GQMGDECvXr2q90BVUXp6OsaPH4/33nsPcrkc/fv3x4kTJ/Dcc8+hXr16mDJlitvykZGRmDhxIk6dOoVGjRphzZo1mD9/PiZOnOi6wB44cCDeeustDB8+HOPHj0dubi7eeOONUu9SAM4LpcGDB2PGjBmIj4/Hp59+iszMTLz66qvVMo5X8+bNsXHjRnz//feIj49HSEiI2wX5pEmT8Nprr2HXrl34+OOPK7TOKVOmYMmSJRg4cCCef/55JCcn44cffsCcOXMwceJENGrUqNJxLliwAHXq1MHjjz9eal+7kSNH4q233sLevXvd+oTt2rWr1EFqmzRpUu5r32g0uvpJGI1GHDt2DKtWrcLq1avRtWtXzJs3z7Vsp06dMH78eIwZMwZ//PEHunTpAq1Wi6ysLPz6669o3rw5Jk6c6Fq+Iq+Vir6/K+N///sfvvvuO/To0QPTpk1DUFAQPvjgA+j1+kqt52rkcjlmzpyJ+++/H7fffjvGjh2L/Px8zJw5E/Hx8eX2pans+04qjRs3RmpqKp566ikIIRAREYHvv/8emZmZJZb9+OOP8emnn2LRokVo2rQpmjZtismTJ2Pq1Kno1KmTq49W06ZN0bNnT/Tv3x+pqakwmUzYvn073nzzTcTGxrpKggPAtGnT8P333+P666/HU089hYYNGyI7Oxvz58/Hzp07SySuxUaOHIlnnnkGr7/+OsLDw3HrrbdWet/Hjh2LRx99FIcOHcL9998PjUbjmte7d2+oVCrcddddePLJJ2EymTB37lzk5eWVu97ifoILFy5EamoqWrZsiR07duCzzz4rsew777yDG2+8EZ07d8bEiRORkpKCoqIiHD16FN9//32V+1ISVRvp6lIQ1U5llSO/0qhRo4RWqy11ntVqFW+88YZo2bKlCAwMFMHBwaJx48bi/vvvF0eOHHEtZzabxWOPPSZiYmJEYGCg6NChg9i2bZtITk4ut6qeEM6qYf379xdhYWFCrVaL1NTUElX6nn76aZGQkCDkcrnbOq6sziWEELm5uWLChAkiPj5eBAQEiOTkZPH000+XKEeNMipHXRl3acoqR36lq50Hu90uXn31VdGoUSOhVCpFVFSUGDFihDh9+rTbcsVV2DZu3CjatWsn1Gq1iI+PF88880yJ0t0LFy4U6enpQq1WiwYNGohZs2aJBQsWlKhqVlxx7uuvvxZNmzYVKpVKpKSkiLfeeqvU/axKVb09e/aITp06iaCgIAGgxHkSQohu3bqJiIgIt/LX5Tl58qQYPny4iIyMFEqlUqSnp4vXX3+9ROWuilTVKy4f/8gjj5S5zD///CMAiAcffFAIcfWqegBEZmbmVbdZXK2t+KHVakWDBg3E7bffLpYvX15mBbKFCxeK66+/Xmi1WqHRaERqaqoYOXKk+OOPP9zWXdHXSkXf32Udx9Lee7/99pvo0KGDUKvVIi4uTjzxxBPio48+qnBVvdLeT7ii4pkQQnz00UciLS1NqFQq0ahRI7Fw4UIxZMgQ0bp161KP3eUq+767Ummv9dKU9vlS1n4WfzYuX77cNe3AgQOid+/eIiQkRNSpU0fccccd4tSpU27H46+//hIajabE55XJZBJt27YVKSkpIi8vTwjhLON+6623igYNGoigoCChUqlEamqqmDBhQol9F0KII0eOiBEjRrg+R8PDw0WfPn1KVJm80i233FJq5cKKunjxolCpVAKA2LFjR4n533//ves1m5iYKJ544glXJcrLv1tKO08FBQXi3nvvFbGxsUKr1YpBgwaJEydOlPoaO378uBg7dqxITEwUSqVSREdHi44dO4oXX3yxSvtFVJ1kQpQxOiMREdVKFy5cQHJyMh588EG89tprUodTK3Tr1g05OTlu/VX8QX5+Pho1aoSbb74ZH330kdThEBHVKDbVIyLyE2fOnMGxY8fw+uuvQy6X4+GHH5Y6JPIh2dnZeOmll9C9e3dERkbi5MmTePvtt1FUVMTXEhH5BSZORER+4uOPP8bzzz+PlJQULFu2zK0aI1F51Go1Tpw4gUmTJuHSpUsICgpChw4dMG/ePDRt2lTq8IiIahyb6hEREREREZWD5ciJiIiIiIjKwcSJiIiIiIioHH7Zx8nhcODcuXMICQlxDepGRERERET+RwiBoqIiJCQkXHVcOr9MnM6dO4d69epJHQYREREREXmJ06dPo27dumXO98vEKSQkBIDz4JQ3yjyVzWq1Yv369ejTpw+USqXU4VApeI68G8+Pd+P58X48R96N58e78fz8p7CwEPXq1XPlCGXxy8SpuHleaGgoE6drYLVaERQUhNDQUL9/w3krniPvxvPj3Xh+vB/PkXfj+fFuPD8lldeFh8UhiIiIiIiIysHEiYiIiIiIqBxMnIiIiIiIiMrBxImIiIiIiKgcTJyIiIiIiIjKwcSJiIiIiIioHEyciIiIiIiIysHEiYiIiIiIqBxMnIiIiIiIiMrBxImIiIiIiKgcTJyIiIiIiIjKwcSJiIiIiIioHEyciIiIiIiIyhEgdQBE5CccDuDoUaCgAAgLA9LSADn/d1MtLj+2ISHOaUVFNXuceT6JiKiqfPQ7hIkTEdW83buBTz4BDh4ETCYgMBDIyABGjQJat5Y6Ot92+bHNyXE+ACAqyvmoiePM80lERFXlw98hkqd2mzdvxqBBg5CQkACZTIZVq1aV+5xNmzahbdu2CAwMRIMGDTBv3ryaD5SIqmb3buD554Fdu4CICKBhQ+fPXbuc03fvljpC33X5sZXJgNxcwGBwPnJynNOq+zjzfBIRUVX5+HeI5ImTXq9Hy5Yt8f7771do+ePHj2PAgAHo3Lkzdu/ejWeeeQYPPfQQvvnmmxqOlIgqzeFw/lcpJ8f536TQUEChcP7MyHBOX7LEuRxVzuXHtnFj4OxZwGx23mWKjHT+fu6cc151HWeeTyIiqqpa8B0ieVO9/v37o3///hVeft68eUhKSsLs2bMBABkZGfjjjz/wxhtv4Lbbbiv1OWazGWaz2fV3YWEhAMBqtcJqtVY9eD9XfOx4DL2X5Ofo6FHnIyUFUCpLzk9JAY4cAQ4dcrZv9jPXdH4uP7ZGo7O5Q0TEf8c5IsI53WCovuPsZ+dT8vcPlctXzpFDOGBz2Mp82IXd+dNhh138/8Nhh0M4/pv2/z8dwvHfz/9fpvhRPL34ISD++12U/L14fom/ISCEcJt/+bTyfgKAEAJ2hx3Hso7htw2/QS6Xu5YBUOL3///F7fmXzyvteWXNv9zly145/2rzrlTaNiv7vMq42jqv+rxKbM/hcODcuXP45rtvIC+nf1FV43FTWAjY/gDaqwCls1l5U1sEphhbOedL+B1S0c8QmajqGa0BMpkMK1euxM0331zmMl26dEHr1q3xzjvvuKatXLkSQ4cOhcFggLKUL/MZM2Zg5syZJaZ/9tlnCAoKqpbYiYiIyHtYHVaYHWaYHWaYHCbX72ZhhsVhcT6Exe13q8MKq7DC4rDAJmywCuffxdNt4v+THGFzzndYXb8XT3f9xH9JULVcdBLVQq1DWmN66nSpw4DBYMDw4cNRUFCA0NDQMpeT/I5TZWVnZyM2NtZtWmxsLGw2G3JychAfH1/iOU8//TQeffRR19+FhYWoV68e+vTpc9WDQ1dntVqRmZmJ3r17l5qwkvQkP0dHjwJPPAHUqeO8FX+lwkIgLw94/fVacYeisq7p/Fx+bIUAtm8HVCqcD5Hh71AzjMIKhcUGNG4EyORAkQ4YNwaIS6h6wNnngAWLgJBgQKMpOd9orJ7teAlhFxDHBGQNZJApZFKH4zdsDhuKLEXQWXTQW/XOh8X502A1QGfVwWA1wGA1wGQ1wVBkgElpgtFmhNFmhMlmgslmgl3Ypd6Vcskhh1wuh0KmgFz238/yHjKZzPk73P+WQQaZTAaFTAGZTAYZZP/NhxyQwbWMDM7XtMw50cU1Tzh/v3yZy59b6rQrtyNkUBQpIEIFZHKZa5+L1+tarpT1FW/XLQa4x3T5c66M021frtjP4mlX/n55TJdvq8xlrzxmZbhyPWXNu3IdV1tnVZa77AkAAOEQ0GXpEBwf7Do/NcEVX0EB8OuvgFoNqFQAgGYFYRjw73rnfAmvCYpbo5XH5xInoOQLsPimWVkvTLVaDbVaXWK6UqnkBX814HH0fpKdo/R054ffrl3O9suXv0eFAE6cANq1cy7nA2VIa0qVzs/lx7ZxYyAwEGeM57EvRg25RaBejtHZXE8R5jzOTTKA9DbOJKqqwuKAuI3AwX+A+iklz+ep3OrZjpdw2B04h3OID4+HXOH7+yMVi92CS8ZLrkeuMdf1e54xD/mmfBSaC1FgLkC+KR96q75at6+QKaBRahAYEAhNgPOnSqGCOkCNQEUg1AFq598KNdQBaijlSqgUKtdDqXD+rZQroVQonT////cAeYDrp+sh++93hVzhNs+VIMkVruSmooQQ7k34/v93AeE2rbg5XvFzZDKZW1M4mey/BEcmk0EhV7j+lv//+7Y4QVPIFFDIFZDL5QiQ/X/8cue8AHkA5JD/9/zLErfihM1hd+DPzX+ibde2UAYo3RKsq/0E4DYNKCXhu+L34mXKmkclWa1WrFmzBgP6DfDMNYLDAex4FPjjymsCm+TXBBXdf59LnOLi4pCdne027cKFCwgICEBkZKREURFRqeRyZ3nRkyedZUfr1gWCgpz9bs6ccRYyGDnSr5OmKrvs2Ip/DuJU/Qjsz82GKr8QEWa5s7xrdJTziyg8HBg48NqTGZkcuOkmICsbOH4CiIlxbsdkAi5cqL7tkM8w28zI0mUhW5eN8/rzuKi/iPP687igv+D6vcBcUOn1yiBDiDoEIaoQBKuCEawKdv0eonb+DFIGQaPQwHzWjLoN60Kr1iJIGeR6FCdJSoV3/mPP5rDBZre59WG6vL+TqyfFZXdJihMXhVwBBf5LaDRKjSvhK07qipMzVxIkr/xdrWtV3G8kVhvLf7BSrbgm8LnE6YYbbsD333/vNm39+vVo164d35RE3qh1a2DatP/GbDh3znmx3a6d8wPSy8ds8GqtW8Px3P9w7NN3ceDsXwjW1kGYsQgIhDOJEXDeARo4EEhvXD3bTG8M3HcvsHq1M3nKuQio1NW/HfIaBaYCnCg4gdMFp3G26CzOFp7FuaJzOFt0FhcNFyu0jgB5ACI0EagTWAeRmkhEaCJcj/DAcISpwxAaGIowdRjCA8MRogqBQq4od70OuwPnDOeQkJTgNXcFHcIBq93ZL6q4+IPVbnX2dRLCmQgJuN2NUsgVUAWoEBIQ4nYX7PI7VZffwSq+E1T8k8hn+Pg1geSJk06nw9GjR11/Hz9+HHv27EFERASSkpLw9NNP4+zZs1iyZAkAYMKECXj//ffx6KOP4r777sO2bduwYMECfP7551LtAhGVp3VroGVLnxwl3JvZHXYcSdLi0L03Izy3F4LNAgjSOmca9EBwMFCvXvXfAUpvDDRqBJw+Deh0Nbcd8hghBM7rz+PfvH9xIv+E2yPPlHfV5wYpgxAfHI9YbSxitDGI1kYjVhvr+hkVFIUwdVitaTIlhIDF7iwkYbFbYLE7C0kIh7NZHGRwa84XrA6GJkADTYDG1fRPKf+vmV/x70yAyG/48DWB5InTH3/8ge7du7v+Li7iMGrUKCxevBhZWVk4deqUa379+vWxZs0aTJkyBR988AESEhLw7rvvllmKnIi8hFzuvNimamFz2HAo5xCO5B5BpDYKQeFJng1AJgeSkj27TaoWNocNpwpO4VDuIRzKOYTDuYdxKPfQVZvUxWpjkRyWjMTQRCSGJCIhJAEJIQmoG1q3ViVFl7ParTDbza7kyGq3ugoHKBVKqOTOflJRQVEIVgW77hJd2UeqNh4bomvmo9cEkidO3bp1u2rN+cWLF5eY1rVrV/z55581GBURkXc7U3gGh3MPI0Ybg8CAQKnDIS+Wa8jF3vN7sff8Xvx1/i8czj0Ms91cYjmFTIHksGSk1ElB/fD6SAlPQUpYCpLDkxGkrL1Dd9gddlclPrPdDLvDWY2vuCiEOkCNGG0MQtQhrgISlxeSYGJE5D8kT5yIiKjyLugvQK1QM2kiN0IIHMs7hj3n92BvtjNZOlt0tsRymgANGkY2RHpkuuvRoE4DqANKVqCtTWwOmytJMtlNcDgcUMgVzop7Sg0SQhMQrAouUYGPyRERAUyciIh8jtlmRoGpAFqVVupQyAvkm/Kx/ex2/H7md/x+5vcSBRtkkCE1IhUtY1uiRWwLNItuhnph9Vylp2srIQTMdjOMViMMVgPswo4AeQA0ARqEqcOQrEl2VecLUgZBrVAzQSKiq2LiRETkY4osRTDYDAhTh0kdCknA7rDjr/N/YduZbfj9zO84mHPwv3F6AKgVarSIbYGWsS3RMrYlmsc2R7AqWMKIPUMIAZPNBL1VD6PVCMicxyJIGYQGIQ0Qpg5DsCoYWpUWKoVK6nCJyAcxcSIi8jE6iw5CCFbh8iM2hw27s3bjp+M/4ZcTv+CS8ZLb/IYRDdGhbgd0qNsBrWJb1fomd8XMNmdfrXNF5yBkAoHKQISqQ5FaJxXB6mDXHaXafneNiDyDiRMRkY/JMeRAKee4dbWdzWHDn1l/4qdjzmTp8rLgoepQdKzb0ZUsRQVFSRip5wghoLfqUWQugtVhhRLO90FqnVREBkciVB2KIGUQm9wRUY1g4kRE5EMsdgvyjfnQKtm/qbY6nnccK/9ZiR+P/uiWLIWpw9AtpRt61e+F6xKvQ4DcP77C7Q47dBYddFYd7A47tCotEkISEBMcgyBFELYc3oL0qHQolfxnAhHVLP/41CUiqiWKzM7+TbHaWKlDoWpkspnw8/GfseqfVdidvds1PUwdhh71e6Bn/Z5ol9DOr5KlIksRdBYdACBYFYz64fURFRSF8MBwaJQaAIDVapUyTCLyM/7xCUxEVEvoLM7/uvvLBXRtd/TSUaz6ZxV+OPIDiixFAJzjKd2YdCNuaXwLOtTt4DfnurgZXoGpAAICIeoQpEelI0ITgfDAcBZ0ICLJ+cenMRFRLZFryOUFpI8TQuCPc39g0Z5F2HFuh2t6fHA8hqQPweD0wYjRxkgYoWeZbWYUmAtgtBmhVWmRFJ6EuOA4RGgi+FonIq/CxImIyEdY7VbkmfIQpAySOhSqAodwYPPJzVi0ZxH+vvg3AOfdpS7JXXBr41vRPrG931RKFEKgyFKEfFM+VAoVIjQRaBraFJGaSI5PRkRei4kTEZGPKLIUwWA1+NXdiNrA5rBh/b/rsXjvYhzLOwbAOb7QkPQhuKfFPYgPiZc4Qs+xOWzIN+XDYDUgRBWCjOgMxGpjER4Yzkp4ROT1mDgREfkInUUHm8PmN31efJ1DOPDDkR/w8Z8f42zRWQCAVqnF0KZDcWfTOxEZFClxhJ5jtpmRZ8qDzWFDeGA4Gkc1Row2xlXkgYjIF/Dbl4jIR1wyXuL4TT7ij3N/4O3f38ah3EMAgDqBdTC8+XDc0eQOBKuCJY7Oc0w2E3IMOVDIFIgJjkG90HqI1kYz+Scin8RPLiIiH2Bz2HDJeIn9m7zc6YLTeGf7O9h4ciMAZxntca3H4Y4mdyAwIFDa4DzIZDMhx5iDAFkAksOTUS+0HiI0EWyOR0Q+jYkTEZEP0Fl0MFgMiAqKkjoUKkWRuQgf7/4YX/79JWwOGxQyBW7NuBXj24xHHU0dqcPzGLPNjBxjDuSQIyk0CUlhSUyYiKjWYOJEROQDisxFsDlsUCrYVM+bCCGw6tAqvL/jfRSYCwAAHet2xCMdHkGDOg0kjs5zLHYLcgw5EBBIDElEcngyIjWRTJiIqFZh4kRE5AMuGS/5TalqX5Gty8YLm1/A9rPbAQANwhvgkQ6PoGO9jhJH5jkO4UCOIQcWuwUJIQlIDk9GdFA0EyYiqpWYOBEReTm7w87+TV5ECIFvD32Lt39/G3qrHmqFGhPbTcSdze70q6IHReYiXDJdQqQmEi3jWiIuOA5ymVzqsIiIaoz/fMITEfkonUUHg9WACE2E1KH4vfO683hpy0vYemYrAKBFTAtM7zodyeHJEkfmORa7BRf0FxAYEIhmMc2QHJYMdYBa6rCIiGocEyciIi9XZCmC1WGFSqGSOhS/JYTAD0d+wBvb3oDOooNKocLEdhMxvNlwv2lC6RAO5BpyYbabUTe0LlIjUhEeGC51WEREHsPEiYjIy+Wb8iEHm0BJRWfR4fktz7tKjDeNbooZXWegfp360gbmQQarARcNFxGpiUTz2OaID4lnszwi8jtMnIiIvJjdYUeuIRdalVbqUPzSadNpvPbdazhdeBpKuRL3t70fI1qM8Ju+TEII5BhyYHVY0TiyMRpENPCr8aiIiC7nH5/8REQ+Sm/VQ2fRoU6g/4wF5C02nNiAGYdnwOQwIVYbi9d7v44m0U2kDstjLHYLsnXZqBNYBy2jnMUfWC2PiPwZEyciIi9WZC6C1W5l53sPsjvsmLdrHhbtWQQAaBvfFq/0fMWvBrLNN+WjyFKElPAUNIpsxDueRERg4kRE5NUKTAX8L78HFZgK8L9f/odtZ7YBAIZED8HUvlOhUvpHYQ6bw4ZsfTYCAwLROq416oXVY18mIqL/x8SJiMhLOYQDFw0XoVXyv/2ecDj3MJ7IfAJni85CrVDjfzf+D80LmvtNfyaj1YgLhgtICElA46jGrJhHRHQF//g2ICLyQXqLHnqrHmHqMKlDqfW2n92Ox9c/DqPNiMSQRLze+3Wkhafh3J/npA7NI/JN+dBZdGgc2RgNIxtCqVBKHRIRkddh4kRE5KWKLEWw2C2sYlbDfjn+C57Z8AysDivaJ7THrJ6zEBYYBofdIXVoNU4IgQv6C5DJZGgV1wpJYUlsGkpEVAYmTkREXqrQXMiL2Bq2+vBqPL/5eTiEAz3q98CL3V/0m4GG7Q47snRZCFYFo3lsc8RoY6QOiYjIqzFxIiLyQkII5OhzoFFopA6l1vpi/xd4Y9sbAIDBjQbjmc7P+E1/JovdgixdFuKD49E0pilC1aFSh0RE5PX84xuCiMjHGG1G6K16BCmDpA6l1hFCYP6f8/HRnx8BAO5ufjceuf4Rv7m7p7fokWvMRf3w+siIzmBTUCKiCmLiRETkhXQWHUw2EyI0EVKHUqs4hANv//42Pt//OQBgQtsJGNd6nN8kTQWmAuisOmREZyAtIs1v7rAREVUHfmISEXkhvUUPh3BwDJ1qZHfY8eKWF/H94e8BAE90fALDmg6TOCrPyTflw2g1okVsCySHJftNskhEVF2YOBEReaFcYy7UCrXUYdQaQgi8tvU1fH/4eyhkCkzrOg0DGw6UOiyPyTPmwWw3o0VcCySFJUkdDhGRT2LiRETkZax2KwpMBdAoWRiiunz050f45uA3kEGGF7u/iN6pvaUOyWNyDbmwCRtaxrVE3dC6UodDROSz2AaEiMjL6Cw6GK1GFoaoJl/+/SXm/zkfADC101S/SppyDDlwwIFWca2YNBERXSMmTkREXkZv1cPqsLLjfjVYe3Qt3tjqLDk+oe0E3N7kdokj8pwL+guADGgZ2xIJIQlSh0NE5PP4rUxE5GXyTflQyBRSh+Hztp3ehukbp0NAYGiToRjXepzUIXlMti4bKoUKLWJbIDY4VupwiIhqBSZORERexCEcyDXkspneNdp/YT+e+OkJ2IUdfVL74PGOj/tNFbnzuvNQK9RoGdcS0dpoqcMhIqo12FSPiMiLGKwGGKwGFoa4BsfzjuPhtQ/DZDOhQ2IHzOw602/KuucacqGQK9AirgWTJiKiauYf3yRERD5Cb9HDbDezFHkVXdRfxOQfJ6PAXIBmMc3wWu/XoFQopQ7LIwpMBbA6rGgW0wwx2hipwyEiqnWYOBEReZEicxEg4DfNyqqTxW7Bkz89ifP680gJT8HsvrP9psmj3qJHkaUITaKbIDE0UepwiIhqJSZOREReJMeYg8CAQKnD8ElvbXsL+y7sQ4gqBLP7zkZ4YLjUIXmEyWbCJeMlNI5qjJTwFKnDISKqtZg4ERF5CbPNjCJzEfs3VcH3h7/H1we/dg5w2+NFvxmzyGq34rz+PFIjUpEWkcY7lURENYiJExGRl9Bb9TDajLzjVEn/5PyDWb/OAgDc3/Z+dKrXSeKIPMPmsOGc7hzqh9dH46jGUMhZwp6IqCYxcSIi8hI6iw52h50D31ZCvikfT2Q+AYvdgs5JnTG29VipQ/IIh3AgS5eFxJBEZERn+E0BDCIiKTFxIiLyEnnGPCjlvACuKLvDjmc2PIMsXRaSQpPwQvcX/KbseLYuG1GaKDSLacY7lEREHuIf3zBERF7O7rDjkvES+zdVwtw/5mLH2R3QBGjwWu/XEKwKljokj7hkvAR1gBpNY5pCq9JKHQ4Rkd9g4kRE5AWK+zdpApg4VcTPx3/G4r2LAQDTukxDWkSatAF5iNFqhMFqQEZUBupo6kgdDhGRX2HiRETkBfQWPcw2M9QBHPi2PCfyT2DmppkAgHta3IPeqb0ljsgzbA4bLhguIC0izW+qBhIReRMmTkREXqDIXOQ3/XOuhc1hw7RfpsFgNaBdfDs8cN0DUofkEUIIZOuykRiSiIaRDVl2nIhIAvyWJiLyAhz4tmIW7VmEAzkHEKoOxQvdX/CbCoQ5hhwEq4LRJLoJVAqV1OEQEfklJk5ERBIzWU3QWXTs31SOAxcP4OM/PwYATO00FdHaaIkj8gydRQe7sKNpTFOEqEOkDoeIyG8xcSIikpjepofRamRFvasw2UyYvnE67MKO3g16o29qX6lD8gir3YpcYy4aRTZCXHCc1OEQEfk1Jk5ERBLTW/QQEOzjdBVz/5iL4/nHEamJxNROU6UOxyOKB7mtH14fDeo0kDocIiK/x29pIiKJ5ZvyOfDtVezK2oXP9n0GAHiuy3MIDwyXNiAPuaC/gAhNBNKj0qGQK6QOh4jI7zFxIiKSWL4pn/2byqCz6DBz40wICNzS+BbcmHSj1CF5hM6iAwBkRGcgSBkkcTRERAQwcSIikhz7N5Xt7d/fxjndOSSGJOKR6x+ROhyPsDvsyDXmIjUiFTHaGKnDISKi/8fEiYhIYla7lSWmS7H55GZ8e+hbyCDD9K7ToVVppQ7JIy7oLyBWG8t+TUREXoaJExGRxORyfhRfKd+Uj5e2vAQAuLv53WgT30biiDxDZ9FBJpOhUWQjJtNERF6G39ZERBIRQgAAAhUc+PZKb217C7nGXDQIb4CJ7SZKHY5HFDfRS4tI85sxqoiIfAkTJyIiiZhsJgBg/6Yr/Jn1J9YcXQMZZJjWdRrUAWqpQ/KIC/oLiAuOQ/069aUOhYiISsHEiYhIInqrHgD8JjGoCJvDhld/exUAcHPjm9EsppnEEXmGzqKDXC5nEz0iIi/GxImISCIGqwEAOPDtZb76+yv8m/cvwtRheOC6B6QOxyNcVfTqpCIqKErqcIiIqAz8tiYikkiBqUDqELxKjiEHH+76EAAwuf1kvxno9rz+POKD49lEj4jIyzFxIiKSgN1hR54pT+owvMo729+B3qpH0+imGJI+ROpwPEJn0UEhV6BhZEM20SMi8nJMnIiIJKC36mG0GqUOw2v8mfUnfjz6I2SQYWqnqX7RfNEhHK4qemyiR0Tk/Wr/NxMRkRfSW/Sw2q1Sh+EVLi8IcWvGrWgS3UTiiDwj15CLSE0kksOSpQ6FiIgqgIkTEZEEigc6JeDLv790FYSY1G6S1OF4hMVugdluRsPIhqyqSETkI5g4ERFJINeQC7WCF8wX9Rfx0a6PAAAPtn8QYYFhEkfkGRcMF1A3tC7iguOkDoWIiCqIiRMRkYeZbWYUWYo48C3+KwjRLKYZBqcPljocj9BZdFDJVWhQp4Ff9OUiIqot+IlNRORheqseRpvR75to/XHuD6z9dy1kkOGpTk/5RRIhhECuMRcp4Smoo6kjdThERFQJtf9biojIy+gtetgddgTIA6QORTIO4cBbv78FALgt4zY0jmoscUSekWfKQ5g6DCnhKVKHQkREleQVidOcOXNQv359BAYGom3bttiyZctVl1+2bBlatmyJoKAgxMfHY8yYMcjNzfVQtERE16bAXACFTCF1GJJa/+96HM49DK1SiwntJkgdjkfYHDboLDo0jGzIZppERD5I8sTpyy+/xCOPPIJnn30Wu3fvRufOndG/f3+cOnWq1OV//fVXjBw5EuPGjcPff/+N5cuXY+fOnbj33ns9HDkRUeU5hAO5hlwEKYOkDkUyVrsVc/+YCwAY2XIkwgPDpQ3IQy7qLyI+JB4JIQlSh0JERFUgeTuRt956C+PGjXMlPrNnz8a6deswd+5czJo1q8Tyv//+O1JSUvDQQw8BAOrXr4/7778fr732WpnbMJvNMJvNrr8LCwsBAFarFVYrx1GpquJjx2PovXiOvI/BYoDBbECwKhgOuwMAXD/9xcqDK3G26CwiNBG4M+NOr93/6jw/RqsRwi6QHJIMYRccw6ua8DPOu/H8eDeen/9U9BjIhBCihmMpk8ViQVBQEJYvX45bbrnFNf3hhx/Gnj17sGnTphLP2bp1K7p3746VK1eif//+uHDhAoYOHYqMjAzMmzev1O3MmDEDM2fOLDH9s88+Q1CQ//7Xl4jI04x2IyYenIh8Wz7G1x2PAVEDpA6JiIj8nMFgwPDhw1FQUIDQ0NAyl5P0jlNOTg7sdjtiY2PdpsfGxiI7O7vU53Ts2BHLli3DsGHDYDKZYLPZMHjwYLz33ntlbufpp5/Go48+6vq7sLAQ9erVQ58+fa56cOjqrFYrMjMz0bt3byiVSqnDoVLwHHmfE/kn8PeFv5EYmgiH3YHsvdmIaxkHuULyltMesXDPQuTb8pEYkohRPUdBqfDe12V1nZ8CUwEcwoH2ie2hVWmrMULiZ5x34/nxbjw//ylujVYeyZvqAYBMJnP7WwhRYlqxAwcO4KGHHsK0adPQt29fZGVl4YknnsCECROwYMGCUp+jVquhVpcs+6tUKv3+hVIdeBy9H8+R9yiwFkClVLldiMsVcr9InPJN+Vi6bykAYGK7iVCrfKMc+7WcH4dwoNBWiJaxLRGuDa/ewMiFn3HejefHu/H8oML7L2niFBUVBYVCUeLu0oULF0rchSo2a9YsdOrUCU888QQAoEWLFtBqtejcuTNefPFFxMfH13jcRERVYbVbUWAq8NuKaov2LILeqkejyEbok9pH6nA8Is+Yh4jACNQNrSt1KEREdI0k/RenSqVC27ZtkZmZ6TY9MzMTHTt2LPU5BoMBcrl72AqFs6yvhN21iIjKpbfqYbKZoAnwv8QpW5eN5QeWAwAmXzfZLwa7tTvs0Fl1qF+nvt8PdkxEVBtI/s316KOP4uOPP8bChQtx8OBBTJkyBadOncKECc5xPZ5++mmMHDnStfygQYOwYsUKzJ07F8eOHcNvv/2Ghx56CO3bt0dCAku8EpH30lv0sNqtXt2vp6Z8uOtDWOwWtI1vixvq3iB1OB6RZ8pDpCYS8SFsCUFEVBtI3sdp2LBhyM3NxfPPP4+srCw0a9YMa9asQXJyMgAgKyvLbUyn0aNHo6ioCO+//z4ee+wxhIeHo0ePHnj11Vel2gUiogopshRBJi+9/2ZtdizvGH448gMA592msvqw1iZ2hx0GqwFNoptApVBJHQ4REVUDyRMnAJg0aRImTZpU6rzFixeXmPbggw/iwQcfrOGoiIiqjxACuYZcBCoCpQ7F4+bsnAOHcKB7Snc0j20udTgeccl4CVFBUYgLjpM6FCIiqiaSN9UjIvIHJpsJOqvO7/o37Tu/DxtPboRcJsekdqX/g6y2sTlsMNqMqF+nvl82yyQiqq2YOBEReYDeqofJavK7inpz/pgDALip4U2oX6e+xNF4Rq4hFzHaGN5tIiKqZZg4ERF5gN6ih0M4/KKaXLG/zv+Fned2QiFTYHzb8VKH4xE2hw1WhxX169RHgNwrWsMTEVE18Z9vcCIiCeWb8qGU+1ezrUV7FgEABjYc6Dd3X3IMOYjRxiBWW/pYhERE5LuYOBER1TC7w45Lxkt+1UzvcO5hbDm1BXKZHKNbjZY6HI+w2q2wOWxICU+BQq6QOhwiIqpmTJyIiGqYwWqA0WZEYID/VNQrvtvUq0EvJIUlSRyNZ+QYchAbHIsYbYzUoRARUQ1g4kREVMP0Vj0sNovfJE4n80/ip2M/AQDGtBwjcTSeYbFb4IAD9cPr824TEVEtxcSJiKiG6cw6qUPwqMV7F0NAoHNSZzSMbCh1OB6RY8hBfHA8orXRUodCREQ1hIkTEVENyzXl+s3dpqyiLKw5sgYAMLbVWImj8QyL3QIBgeTwZL+qmkhE5G/4CU9EVIMsdguKTEV+Uxhi6V9LYRd2XJdwHZrHNpc6HI+4ZLyEGG0MooKipA6FiIhqEBMnIqIapLfo/aYwRK4hF98e+haA/9xtsjlssDlsSApL4t0mIqJajp/yREQ1SG/Vw+aw+cVgqMv2LYPZbkbzmOZol9BO6nA8It+UjwhNBCvpERH5ASZOREQ1qNBU6Bd3IgrNhfj64NcAgDGtxkAmk0kcUc1zCAf0Vj2Sw5P9IjEmIvJ3tf/bnIhIIkII5BpzoQmo/f2bvvz7SxisBjSMaIjOSZ2lDscjCkwFCFOHIVYbK3UoRETkAUyciIhqiNFmhMFqqPWFIQxWA77Y/wUA/7nbBACFlkKkhKdAHaCWOhQiIvIAJk5ERDVEb9HDZDPV+sIQKw6uQIG5AEmhSehZv6fU4XhEkbkIwapgxAXHSR0KERF5CBMnIqIaorfq4RCOWt3HyWq3Ytm+ZQCAUa1GQSFXSByRZ+Sb81E3pC60Kq3UoRARkYfU3m9zIiKJ5RnzoFKopA6jRv10/CdcNFxEpCYSA9IGSB2ORxisBqgVaiSEJkgdChEReRATJyKiGmB32JFnyqvVzfSEEPh83+cAgDua3AGlQilxRJ5xyXQJ8SHxCA8MlzoUIiLyICZOREQ1QG/Vw2g11uqKen9d+AsHcg5ApVDhtozbpA7HI8w2M+SQo25oXalDISIiD2PiRERUA/QWPSx2S62uuFZ8t6l/Wn/U0dSROBrPyDPlITY4FhGaCKlDISIiD2PiRERUA3QWXa0uy52ty8YvJ34BANzV7C6Jo/EMm8MGm8OGpLCkWl3wg4iISsdPfiKiGpBryEWgovb2b/rq769gF3Zcl3Ad0iLSpA7HI/KMeYjURCIqKErqUIiISAJMnIiIqpnZZkaRpajWDnxrtBqx8p+VAPznbpNDOGC0GZEcnowAeYDU4RARkQSYOBERVTO9VQ+jzVhrK+r9cOQHFFmKUDe0Lm5MulHqcDyi0FyIUHUoYrQxUodCREQSYeJERFTN9BY97A57rbwz4RAOfPH3FwCAO5ve6Td9fYrMRagXVq9WF/sgIqKr849vPCIiDyowF0AhU0gdRo34/czvOJF/AlqlFoMaDZI6HI8w2UxQBah4t4mIyM8xcSIiqkZCCOQacmtt/6bP9ztLkA9JHwKtSitxNJ6Rb8xHjDYGYeowqUMhIiIJMXEiIqpGBqsBRlvtHPj2eN5xbDuzDTLIMLTpUKnD8Ri7sCMxJLFWl5cnIqLyMXEiIqpGeqseJqupVhaGKO7b1DW5K+qG1pU4Gs8JU4exBDkRETFxIiKqTnqLHgBq3d2JAlMBVh9eDQC4q7l/lCAvlhiaCKVCKXUYREQkMSZORETV6JLxUq28yF75z0qY7WY0imyENnFtpA7HI4xWIwAgSsu7TURExMSJiKja2Bw25Jvya13/JpvDhuUHlgNwDnhb2+6mlSXflA8ACFGFSBsIERF5BSZORETVRG/Rw2Qz1bqKer+e+hXn9ecRHhiOPg36SB2OR9gcNgghpA6DiIi8CBMnIqJqorfqYbFboFKopA6lWq34ZwUAYFCjQX4zAGy+KR9hgSw/TkRE/2HiRERUTYrMRZDLatfH6rmic9h2ehsA4NbGt0ocjeforXrUC6sndRhERORFatc3PBGRhC4ZL9W6MuSr/lkFAYH2Ce39JpHQWXTQqrSI1ERKHQoREXkRJk5ERNXAZDNBZ9HVqsTJ5rDh20PfAgBuzfCfu0355nzEB8dDq9JKHQoREXkRJk5ERNVAb9HDaDPWqop6m05uQq4xF5GaSHRL6SZ1OB5htVsBAPHB8RJHQkRE3oaJExFRNdBb9XAIBxRyhdShVJsVB51FIQanD0aAPEDiaDwj35SPyMBIRGgipA6FiIi8DBMnIqJqUGAqgEJWe5KmM4VnsP3sdsggw83pN0sdjkcIIWCwGZAUnlSrEmAiIqoeTJyIiK6RQzhwyXipVjXTW/nPSgBAh7odkBiaKHE0nqGz6BCiCkFUUJTUoRARkRdi4kREdI0MVgMMVkOtGfjWarfiu0PfAQBuy7hN4mg8p9BSiLjgOAQpg6QOhYiIvBATJyKia6S36GG2m6FW1I7BYX858QvyTHmIDorGjUk3Sh2OR9gcNgghEKONkToUIiLyUkyciIiukd6qhxACMplM6lCqRXFRiCHpQ/ymKESRuQhh6jAWhSAiojIxcSIiukY5hpxaM37TyfyT+CPrD8hlctzc+Gapw/GYIksREkMToVQopQ6FiIi8FBMnIqJrYLFbUGgqrDWFIYqLQnSs2xFxwXESR+MZZpsZKoWKRSGIiOiqmDgREV0D18C3taAwhNlmxveHvwfgZ0UhzIWI0EQgLDBM6lCIiMiLMXEiIroGeqseNoetVvQF2nBiAwrMBYjVxqJjvY5Sh+MxBpsBCSEJkMv4lUhERGXjtwQR0TWoTQPfFheFuLnxzX4zAKzeoodWqUVkUKTUoRARkZdj4kREVEVCCOQac2tFM70T+SewO3s3FDIFhqQPkTocjykwFyBGG4NgVbDUoRARkZdj4kREVEWugW9rQWGI4gFvO9br6DdjGTmEA3Zh95siGEREdG2YOBERVZHeqofZZvb5UuQ2hw0/HPkBADCo0SCJo/GcInMRQlQhHLuJiIgqhIkTEVEV6Sw6CPj+wLe/n/kducZchAeGo3NSZ6nD8ZgiSxHig+OhDlBLHQoREfkAJk5ERFV0yXgJKrlK6jCu2XeHnc30+qf195sBYG0OG2QyGWKC/aNZIhERXTsmTkREVWC1W1FgKvD5whD5pnxsPrkZgH8108s35aNOYB3UCawjdShEROQjmDgREVWB3qqH0WpEkDJI6lCuydqja2Fz2JAemY5GkY2kDsdj9FY96obW9Zuy60REdO2YOBERVYHOooNN+P7At8XN9PzpbpPJZkJgQCDHbiIiokph4kREVAWFpkLI4NtFIQ7lHsLh3MNQypXol9ZP6nA8Jt+Uj6igKISoQqQOhYiIfAgTJyKiSnINfOvj4zd9f+h7AECX5C4IDwyXNhgPEULAYrcgISTB56shEhGRZzFxIiKqJKPNCIPV4NP9m6x2K348+iMA/2qmp7fqEawKRqSGzfSIiKhymDgREVWSzqJz9ZPxVZtPbUaBuQBRQVHoULeD1OF4TIGpADHaGJ+vhkhERJ7HxImIqJL0Fj2E8O2Bb4ub6Q1sONDnC1xUlEM44IADMVqO3URERJXHxImIqJIuGS/59ECxOYYcbD2zFYCfNdOz6BGsDEYdDcduIiKiymPiRERUCTaHDfmmfJ/u3/TDkR/gEA60iGmBlPAUqcPxmEJLIWKDY326iSUREUmHiRMRUSUU92/y1Yp6Qgh8f9jZTG9Quv/cbXIIBxzCgWhttNShEBGRj2LiRERUCXqLHha7xWeb6u2/sB8n8k9ArVCjd4PeUofjMTqLztlML5DN9IiIqGqYOBERVUKRpQhyue9+dH53+DsAQI/6PRCsCpY4Gs8pshQhNjgW6gC11KEQEZGP8t1vfyIiDxNCIEefA43CN5vpmWwmrP93PQBgcKPBEkfjOQ7hgBCCzfSIiOiaMHEiIqogo80IvU3vs2MAbTyxEXqrHvHB8Wib0FbqcDymyFyEYBWb6RER0bVh4kREVEF6ix4mq+8OfPvj0R8BAAMaDoBc5j8f/0VWNtMjIqJr5z/fnERE10hv1cMhHD6ZdOQacvH7md8BAP3T+kscjefYHXYIh0B0EJvpERHRtfG9b38iIolcMlyCSqGSOowqWX9sPezCjibRTfxq7CadRYcQdQgHvSUiomsWIHUAADBnzhy8/vrryMrKQtOmTTF79mx07ty5zOXNZjOef/55fPrpp8jOzkbdunXx7LPPYuzYsR6Mmoj8ic1hQ74532fHb/rxyP8300sbIHEknlVkLUJanTSfTXipdrHb7bBarVKH4TFWqxUBAQEwmUyw2+1Sh0NX8Kfzo1QqoVAornk9kidOX375JR555BHMmTMHnTp1wocffoj+/fvjwIEDSEpKKvU5Q4cOxfnz57FgwQKkpaXhwoULsNlsHo6ciPyJ3qKH0WpEhCZC6lAq7UT+CRzIOQCFTIG+qX2lDsdj7A47IMBqeiQ5IQSys7ORn58vdSgeJYRAXFwcTp8+DZlMJnU4dAV/Oz/h4eGIi4u7pn2VPHF66623MG7cONx7770AgNmzZ2PdunWYO3cuZs2aVWL5tWvXYtOmTTh27BgiIpwXMCkpKVfdhtlshtlsdv1dWFgIwJlp+9N/fqpb8bHjMfRePEfVp8BQAIvFggBNABx2R7Wss3g91bW+sqw+tBoA0KFuB4Spwmp8e96i0FQIrUKLYEVwld4DfP94P185R+fPn0dhYSGio6MRFBTkFxepgPPCXK/XQ6vV+s0++xJ/OT9CCBgMBly8eBF2ux2xsbEllqnoZ4hMCCGuJRiz2Qy1umqViiwWC4KCgrB8+XLccsstrukPP/ww9uzZg02bNpV4zqRJk3D48GG0a9cOS5cuhVarxeDBg/HCCy9Aoym9Cc2MGTMwc+bMEtM/++wzBAUFVSl2IiJf4BAO3H/gfly0XsTjyY/jxjo3Sh0SkV+RyWSIj49HXFwcQkJCpA6HyG8VFRUhOzsbWVlZuDL9MRgMGD58OAoKChAaGlrmOip9x2ndunX4/PPPsWXLFpw6dQoOhwNBQUFo06YN+vTpgzFjxiAhIaFC68rJySk184uNjUV2dnapzzl27Bh+/fVXBAYGYuXKlcjJycGkSZNw6dIlLFy4sNTnPP3003j00UddfxcWFqJevXro06fPVQ8OXZ3VakVmZiZ69+4NpVIpdThUCp6j6iGEwLYz22C2mau1yIDD7kD23mzEtYyDXFEztXr+zP4TF/dehFapxeCug322lHpl2R12nNedx3V1r6tyRT2+f7yfL5wjs9mMU6dOISIiosx/8NZWQggUFRUhJCSkVt/R8FX+dn6USiWKiorQo0ePEjd9ilujlafCidOqVaswdepUFBQUYMCAAXjiiSeQmJgIjUaDS5cuYf/+/fjpp5/wwgsvYPTo0XjhhRcQHV2xL6srT5YQoswT6HA4IJPJsGzZMoSFhQFwNve7/fbb8cEHH5T6oaRWq0u9K6ZUKr32g9aX8Dh6P56ja6Oz6GB0GBESGFIjCY5cIa+xxGndsXUAgB71eyBI7T932AuthQgJCkF0cDSUimt77fP94/28+RzZ7XbIZDIoFArI5f5VzNjhcDYLlslkfrfvvsDfzo9CoYBMJkNAQECJz4uKfn5UOHF6+eWX8cYbb2DgwIGlHtyhQ4cCAM6ePYt33nkHS5YswWOPPXbVdUZFRUGhUJS4u3ThwoVS2x8CQHx8PBITE11JEwBkZGRACIEzZ86gYcOGFd0lIqIK0Vl0MNlMiNJESR1KpZhtZmQeywQADGw4UOJoPEtn0SE9Kv2akyYiIqJiFU6cduzYUaHlEhMT8dprr1VoWZVKhbZt2yIzM9Otj1NmZiaGDBlS6nM6deqE5cuXQ6fTITg4GABw+PBhyOVy1K1bt0LbJSKqDJ1ZB4iSd8e93ZZTW6Cz6BCrjUWb+DZSh+MxNoezymqkJlLiSIiIqDap0n05o9FY5rysrKxKrevRRx/Fxx9/jIULF+LgwYOYMmUKTp06hQkTJgBw9k8aOXKka/nhw4cjMjISY8aMwYEDB7B582Y88cQTGDt2rN+1HSYiz8gx5Phk36AfjzrHbuqX1g9yWe1vhlFMZ9EhVB2K8MBwqUMhIqJapErfpK1bt8aff/5ZYvrXX3+NFi1aVGpdw4YNw+zZs/H888+jVatW2Lx5M9asWYPk5GQAzkTs1KlTruWDg4ORmZmJ/Px8tGvXDnfffTcGDRqEd999tyq7QkR0VSabCYWWQmiUvvWPmXxTPn47/RsA/xv0VmfRIT4kns30qNZxOIDDh4GdO50/HTU8ssDo0aMhk8nwyiuvuE1ftWqV2x14IQQ++ugjXH/99QgODkZ4eDjatWuHd955BwaDoWaDJPKgKo3j1Lt3b3Ts2BEzZszA1KlTodfrMXnyZCxfvrzEm6siJk2ahEmTJpU6b/HixSWmNW7cGJmZmZXeDhFRZeksOhhtRoSrw6UOpVIyj2XC5rAhPTIdqRGpUofjMXaHHQB8cqBioqvZvRv45BPg4EHAZAICA4GMDGDUKKB165rbbmBgIF599VXcf//9qFOn9Kqi99xzD1asWIH//e9/eP/99xEdHY29e/di9uzZiImJwV133VVzARJ5UJUSp/feew8DBw7EmDFj8MMPP+DcuXMIDQ3Fzp070aRJk+qOkYhIMjqLDkIIKOQKqUOplB+POJvpDWjoX3eb9FY9glXBbKZHtcru3cDzzwM5OUDduoBWC+j1wK5dwMmTwLRpNZc89erVC0ePHsWsWbNK7cP+1VdfYdmyZVi1apVb//SUlBTcdNNNOHPmTM0ERiSBKjd679OnD2699Vb89ttvOH36NF555RUmTURU61wyXIJS7ltNvk4XnMZfF/6CXCZH39S+UofjUUXmIkRro6FSqKQOhahaOBzOO005Oc47TKGhgELh/JmR4Zy+ZEnNNdtTKBR4+eWX8d5775WaBC1btgzp6emlFvWSyWRuVZCJfF2VEqd///0XN9xwA1avXo1169bhySefxJAhQ/Dkk0/CarVWd4xERJKw2q3IM+UhSOlb4x+tOboGAHB94vWICvKtEurXQggBh3BUecBbIm909KizeV7dusCVhT1lMuf0Awecy9WUW265Ba1atcL06dNLzDty5AjS09NrbuNEXqRKiVOrVq1Qv3597N27F71798aLL76IDRs2YMWKFWjfvn11x0hEJAm9VQ+j1QhNgO8UhhBCuKrp+WMzvSBVEJvpUa1SUODs06TVlj4/KMg5v6CgZuN49dVX8cknn+DAgQNu04UQPjdUA1FVVSlxmjNnDr744guEh4e7pnXs2BG7d+9Gmzb+M1YIEdVuOosOVofVp6qz7buwD2cKz0AToEG35G5Sh+NROosOkZpIn6uASHQ1YWHOQhB6fenzDQbn/JpuEdelSxf07dsXzzzzjNv0Ro0a4eDBgzW7cSIvUaXE6Z577il1ekhICBYsWHBNAREReYt8Uz4UMt8qCrH26FoAQLeUbn6XQFjsFsRoY6QOg6hapaU5+zKdOQMI4T5PCOf0Jk2cy9W0V155Bd9//z22bt3qmjZ8+HAcPnwY3377bYnlhRAoqOlbYUQe5D8jIhIRVYJDOJBryPWp/k02hw2Zx5xDNfRP6y9xNJ5ltBqhUWrYTI9qHbncWXI8KsrZ16mwELDZnD8PHnROHznSuVxNa968Oe6++2689957rmlDhw7FsGHDcNddd2HWrFn4448/cPLkSaxevRp9+vTBr7/+WvOBEXkIEyciolLoLXoYrAafumuz4+wO5JnyUCewDton+ld/0yJLEcIDwxGsCpY6FKJq17q1s+R427bApUvOQhCXLgHt2tVsKfLSvPDCCxCX3fqSyWT47LPP8NZbb2HlypXo2rUrWrRogRkzZmDw4MHo0aOH54IjqmFVGseJiKi201l0MNvMCNQGSh1KhRU30+vdoDcC5P718W6ymRAXHMdO6lRrtW4NtGzpTJoKCpx9mtLSavZO0+LFi0tMS05Ohslkcpsml8sxYcIETJgwwW26w+FAYWFhzQVI5GH+9c1KRFRBReYin7oIN9lM2HhyIwCgX1o/aYPxMLPNDJVCxWZ6VOvJ5UCjRlJHQeS/2FSPiOgKQgjkGHMQGOA7d5s2n9wMg9WAxJBENI9pLnU4HlVkKUKYOgyh6lCpQyEiolqsyonTwIEDkZWVVeJ3IiJfZ7KZUGQp8qnxm9b+62ym1ze1r0/dKasOBqsBccFxkMv4v0AiIqo5Vf6W2bx5M4xGY4nfiYh8nc6ig8lq8pnCEAWmAmw97SwP7G/N9GwOGxRyBepo6kgdChER1XL89xwR0RV0Fh2EED5zB+Pn4z/D5rChUUQjNKjTQOpwPKrIXIRQVSjCAmt49E8iIvJ7vnFVQETkQbnGXKgUKqnDqDBXM720vhJH4nl6qx5xIXF+V0WQiIg8j4kTEdFlLHYLCkwFPjPwbbYuG7uzdgNw9m/yJ3aHHQAQoYmQOBIiIvIHTJyIiC6js+h8auDbzGOZEBBoE9cGccFxUofjUTqLDsGqYJYhJyIij2DiRER0Gb1FD5vD5jNNv348+iMA/2ymp7PqEKON8almlURE5LuqnDhdXu7W30rfElHtlWfK85mk6VjeMRzOPQyFTIGe9XtKHY5HCSHgcDgQFRQldShEROQnqpw4CSFK/Z2IyFfZHXbkGnJ9pn/Tun/XAQA61uvod83V9FY9glRBfrff5OccDuDwYWDnTudPh8Mjm926dSsUCgX69XMf7uDEiROQyWSlPn7//XePxEbkSVX+t2pRUVGpvxMR+Sq9VQ+jzYhwdbjUoZRLCIG1R53V9Pxt7CbA2b8pPjjeZ/qiEV2z3buBTz4BDh4ETCYgMBDIyABGjQJat67RTS9cuBAPPvggPv74Y5w6dQpJSUlu83/66Sc0bdrUbVpkZGSNxkQkBd9oj0JE5AFF5iKYbWaotWqpQynX/gv7cbboLDQBGnRJ6iJ1OB5nsVsQrY2WOgwiz9i9G3j+eSAnB6hbF9BqAb0e2LULOHkSmDatxpInvV6Pr776Cjt37kR2djYWL16MadOmuS0TGRmJuLiSxWkcHrojRuQpLA5BRPT/8k35PjPobfHYTd1SuvndXReTzQR1gJqD3pJ/cDicd5pycpx3mEJDAYXC+TMjwzl9yZIaa7b35ZdfIj09Henp6RgxYgQWLVrELhrkt3zjCoGIqIY5hAM5hhxolVqpQymXzWFD5rFMAP7bTC9MHYYQVYjUoRDVvKNHnc3z6tYFrizGJZM5px844FyuBixYsAAjRowAAPTr1w86nQ4///yz2zIdO3ZEcHCw28Nut9dIPERSYlM9IiI4L8b1Vr1P9G/aeXYnLhkvITwwHNcnXi91OB5nsBqQWieVFV3JPxQUOPs0acv4p05QEHDunHO5anbo0CHs2LEDK1asAAAEBARg2LBhWLhwIXr16uVa7ssvv0RGRobbcxUKBZvqUa3DxImICM7+TRabxSf6NxVX0+tVv5fPlE6vLjaHDQq5AuGacKlDIfKMsDBnIQi93tk870oGg3N+WPU3XV2wYAFsNhsSExNd04QQUCqVyMvLc02rV68e0tLSqn37RN6mUk31Dhw4UO4yn376aZWDISKSSr4p3yfuYJhsJvxy4hcA/ttML1gVjDA1+zeRn0hLc/ZlOnMGuLJvkRDO6U2aOJerRjabDUuWLMGbb76JPXv2uB579+5FcnIyli1bVq3bI/IFlUqc2rZtizfeeKPUToHnz5/H4MGDMXHixGoLjojIE3ypf9Nvp3+D3qpHXHAcWsS2kDocj9Nb9YjRxkCpUEodCpFnyOXOkuNRUc6+ToWFgM3m/HnwoHP6yJHO5arR6tWrkZeXh3HjxqFZs2Zuj9tvvx0LFixwLZubm4vs7Gy3h8lkqtZ4iLxBpd5ln376KV577TV06dIF//77r9v0Jk2aoKCgAHv27KnuGImIapTOooPOovOJgW+Lx27q06CPz1QArC5CCDgcDkRqOD4M+ZnWrZ0lx9u2BS5dchaCuHQJaNeuxkqRL1iwAL169UJYKU0Ab7vtNuzZsweXLl0CAPTq1Qvx8fFuj1WrVlV7TERSq1Tj+Ntuuw2dO3fG/fffj5YtW2LGjBnYsmULfvrpJ7z88st46KGHfKKpCxHR5YrMRbDYLVAHeHf/Jp1Fh99O/wbAP5vpGawGaFQaliEn/9S6NdCypTNpKihw9mlKS6v2O03Fvv/++zLntWnTxtX66GqlyVkcgmqbSvcqjomJwcqVK3H33XfjySefhFarxe+//47mzZvXRHxERDUuz5QHhUwhdRjl+uXEL7DYLagfXh8NIxpKHY7H6Sw6RGmjfOLOIFGNkMuBRo2kjoLIb1X63xR5eXkYPnw4Vq1ahaeeegoxMTEYNmwYdu7cWRPxERHVKLvDjlxDrk9cjK876qym1ze1r1/e3TfbzYjVxkodBhER+alKJU6rV69GkyZN8O+//2LXrl14+eWX8ddff6Fr16648cYb8b///Q82m62mYiUiqnZ6q94n+jflGnKx49wOAM7Eyd9Y7BaoFCo20yMiIslUKnG6/fbb8eCDD2Lbtm1o3LgxAECr1WLu3LlYvXo1li5dinbt2tVIoERENcFX+jf9dPwnOIQDTaKboF5YPanD8bjiMuSh6lLGsSEiIvKASvVx2rFjB1q0KL38be/evbFv3z5MmTKlWgIjIvIEX+nfVNxMr1+q/xWFAJyFIZLCkvyukiAREXmPSn0DlZU0FQsNDXWr609E5M2K+zdpVd49ftPZwrP468JfkEGG3g16Sx2Ox9kddgBAHU0diSMhIiJ/xn/dEZHf8pXxm9YfWw8AaJfQDtHaaImj8TyD1QCtUoswNfs3ERGRdJg4EZHfKrIUuYoOeLN1//5XTc8fFVmKEKWN8vp+aEREVLsxcSIiv5Vvyvf6/k1HLx3F0UtHESAPQI/6PaQORxI2hw1RQVFSh0FERH6OiRMR+SW7w44cQ47X928qvtvUsV5Hv6woZ7QaERgQiPDAcKlDIaIakJKSgtmzZ1f5+YsXL0Z4eHi1xVObdOvWDY888ohHtvXcc89h/PjxHtlWafbt24e6detCr9fX6HaYOBGRX9JZdNBb9F7dv0kIgfX/Ovs3+WszPZ1Fh/DAcGiV3p3gEtVGo0ePxs0331yj29i5c2eFL7hLS7KGDRuGw4cPV3n7ixcvhkwmcz1iY2MxaNAg/P3331Vep7dYsWIFXnjhhRrfzvnz5/HOO+/gmWeecU0bPXo0ZDIZJkyYUGL5SZMmQSaTYfTo0W7LX+21lpKS4naeih+vvPIKAKB58+Zo37493n777Wrbr9JUuBz5888/X6UNdOvWDV26dKnSc4mIaoov9G/af2E/zhadhSZAgy5J/vk5arQZkR6cDplMJnUoRFQDoqOvreCNRqOBRqO5pnWEhobi0KFDEELg7NmzePLJJzFw4EAcPnwYKlXNfUdYrVYolcoaW39ERESNrftyCxYswA033ICUlBS36fXq1cMXX3yBt99+23WOTCYTPv/8cyQlJVV6O88//zzuu+8+t2khISGu38eMGYMJEybg6aefhkJRM83wK3zH6fjx41V65Ofn10jgRETXIs/o/eM3FTfT65rcFRrltV0Y+CKbw4YAeQDCAllNj2oXIQT0Fr3HH0KIat2PTZs2oX379lCr1YiPj8dTTz0Fm83mml9UVIT77rsPISEhiI+Px9tvv12i+diVd5FmzJiBpKQkqNVqJCQk4KGHHgLg/Ef8yZMnMWXKFNfdBqD0pnrfffcd2rVrh8DAQERFReHWW2+96n7IZDLExcUhPj4e7dq1w5QpU3Dy5EkcOnTItczWrVvRpUsXaDQa1KtXDw899JBbs7CsrCwMHDgQGo0G9evXx2effVZi32QyGebNm4chQ4ZAq9XixRdfBAB8//33aNu2LQIDA9GgQQPMnDnT7TiWdUwAYM6cOWjYsCECAwMRGxuL22+/3TXvymOdl5eHkSNHok6dOggKCsKAAQPw77//uuYXH8t169YhIyMDwcHB6NevH7Kysq56/L744gsMHjy4xPQ2bdogKSkJK1ascE1bsWIF6tWrh9atW191naUJCQlBXFyc20Or/a81Qt++fZGbm4tNmzZVet0VVeE7TosWLaqxIIiIPMkX+jfZHDZkHssEAPRL889Bb3UWHYJVwX7Zt4tqN4PVgOBZwR7fru5pXbV97p09exYDBgzA6NGjsWTJEvzzzz+47777EBgYiBkzZgAAHnvsMWzfvh2rVq1CfHw8pk2bhj///BOtWrUqdZ1ff/013n77bXzxxRdo2rQpsrOzsXfvXgDOC+6WLVti/PjxJe46XO6HH37ArbfeimeffRZLly6FxWLBDz/8UOH9ys/Px2effQYArrtB+/btQ9++ffHCCy9gwYIFuHjxIiZPnozJkye7ro9HjhyJnJwcbNy4EUqlEo8++iguXLhQYv3Tp0/HrFmz8Pbbb0OhUGDdunUYMWIE3n33XXTu3Bn//vuvq+ni9OnTr3pM/vjjDzz00ENYunQpOnbsiEuXLmHLli1l7tvo0aNx5MgRfPfddwgNDcWTTz6JoUOH4sCBA1CrnVVLDQYD3njjDSxduhRyuRwjRozA448/jmXLlpW6zry8POzfvx/t2rUrdf6YMWOwaNEi3H333QCAhQsXYuzYsdi4cWN5p6LSVCoVWrZsiS1btqBHj5opplThxImIqLbQWXQwWA2I0HimGUNV7MrahVxjLsLUYbg+8Xqpw5GEzqpDwzoNESDnVxWRt5kzZw7q1auH999/HzKZDI0bN8a5c+cwdepUTJs2DXq9HkuWLMH8+fPRs2dPyOVyLFq0CAkJCWWu89SpU4iLi0OvXr2gVCqRlJSE9u3bA3A2O1MoFK67DmV56aWXcOedd2LmzJmuaS1btrzqvhQUFCA4OBhCCBgMBgDA4MGD0bhxYwDA66+/juHDh7vu3jRs2BDvvvsuunbtirlz5+LEiRP46aefsHPnTlcC8fHHH6Nhw4YltjV8+HCMHTvW9fc999yDp556CqNGjQIANGjQAC+88AKefPJJTJ8+/arH5NSpU9BqtbjpppsQEhKC5OTkMu/kFCdMv/32Gzp27AgA+PTTT5GcnIxVq1Zh2LBhAJzNB+fNm4fU1FQAwOTJk6/aXefkyZMQQpR5Xu+55x48/fTTOHHiBGQyGX777Td88cUXVUqcpk6div/9739u01avXo1u3bq5/k5MTMSJEycqve6K4rcREfmdIksRrA6rV/dvWnt0LQCgR/0eUCpqrg28txJCwOFwICLIe5NboqoKUgZB97ROku1Wl4MHD+KGG25w63/YqVMn6HQ6nDlzBnl5ebBarWjTpo1rflhYGNLT08tc5x133IHZs2ejQYMG6NevHwYMGIBBgwYhIKDil6t79uy56h2p0oSEhODPP/+EzWbDpk2b8Prrr2PevHmu+bt27cLRo0fd7roUf0YdP34chw8fRkBAgNu+pqWloU6dOiW2deWdmV27dmHnzp146aWXXNPsdjtMJhMMBsNVj0nv3r2RnJzsmtevXz/ccsstCAoqeZ4PHjyIgIAAXH/9f/+Ii4yMRFpaGv755x/XtKCgIFfSBADx8fGl3jkrZjQaAQCBgYGlzo+KisLAgQPxySefQAiBgQMHIiqqasNLPPHEE24FJQBnonQ5jUbjSn5rAhMnIvI7ecY8yL24qKjZZsaG4xsAAP3T+kscjTQMVgOCVEFspke1kkwm8+qmwhUhhChRtKW4D5VMJnP7vbRlSlOvXj0cOnQImZmZ+OmnnzBp0iS8/vrr2LRpU4WLKFSlUIRcLkdaWhoAoHHjxsjOzsawYcOwefNmAIDD4cD999/v1reoWFJSkltfqMuVtq+X98kpXvfMmTNL7YcVGBh41WNSnPBt3LgR69evx7Rp0zBjxgzs3LmzRL+vso77lefxyuN8+bksTXESlJeXV2ahj7Fjx2Ly5MkAgA8++KDMdZUnKirKdZ7KcunSJbfEr7p575UDEVEN8IX+Tb+e/hV6qx6x2li0imsldTiS0Fl0qBNYx6vLxRP5syZNmmDr1q1uF9Vbt25FSEgIEhMTkZqaCqVSiT///NM1v7CwEEeOHLnqejUaDQYPHox3330XGzduxLZt27Bv3z4Azj4sdrv9qs9v0aIFfv7552vYM2DKlCnYu3cvVq5cCcBZ5ODvv/9GWlpaiYdKpULjxo1hs9mwe/du1zqOHj1aoQJpbdq0waFDh0pdt1zuvEy/2jEJCAhAr1698Nprr+Gvv/7CiRMnsGHDhhLbadKkCWw2G7Zv3+6alpubi3///dfVJLEqUlNTERoaigMHDpS5TL9+/WCxWGCxWNC3b80OrbF///4qFZ6oKN5xIiK/4gv9m4qb6fVJ7QO5zD//v2W2mxGjjZE6DCK/V1BQgD179rhNi4iIwKRJkzB79mw8+OCDmDx5Mg4dOoTp06fj0UcfhVwuR0hICEaOHIlp06YhMTERcXFxmD59OuRyeZnDCyxevBh2ux3XX389goKCsHTpUmg0GiQnJwNwVuDbvHkz7rzzTqjV6lKbfE2fPh09e/ZEamoq7rzzTthsNvz444948sknK7zPoaGhuPfeezF9+nTcfPPNmDp1Kjp06IAHHngA9913H7RaLQ4ePIjMzEy89957aNy4MXr16oXx48dj7ty5UCqVeOyxx6DRaModSmHatGm46aabUK9ePdxxxx2Qy+X466+/sG/fPrz44otXPSarV6/GsWPH0KVLF9SpUwdr1qyBw+EotTlkw4YNMWTIENx333348MMPERISgqlTpyI+Ph5Dhgyp8LG5klwuR69evfDrr7+WOQ6TQqHAwYMHXb+XpazXWnHp8qKiImRnZ7vNDwoKQmios2XCiRMncPbsWfTq1auKe1O+Sn0j79ixwy3Tv/LWndlsxldffVU9kRER1YBCc6FXj99UZC7Cb6d/A+C/zfSsdquzDLmaZciJpLZx40a0bt3a7VGcDK1ZswY7duxAy5YtMWHCBIwbN86t8/6bb76J6667DoMHD0avXr3QqVMnZGRklNkfJjw8HPPnz0enTp1cd46+//57REZGAnCO43PixAmkpqaW2SysW7duWL58Ob777ju0atUKPXr0cLvLUlEPP/wwDh48iOXLl6NFixbYtGkTjhw5gs6dO6N169Z47rnnEB8f71p+yZIliI2NRZcuXXDLLbe4yrCXta/F+vbti9WrVyMzMxPXXXcdOnTogLfeesuVLF7tmISHh2PFihXo0aMHMjIyMG/ePHz++edo2rRpqdtatGgR2rZti5tuugk33HADhBD46quvrnksqfHjx+OLL76Aw+Eoc5nQ0FBXglOWsl5rxaZNm4b4+Hi3x+UJ8eeff44+ffq4jl1NkIlKFPVXKBTIyspCTIzzv4ChoaHYs2cPGjRoAMA5cnBCQkK5t1GlVlhYiLCwMBQUFJR7EqlsVqsVa9aswYABA2p0ADeqOp6jkvZk78GZgjOID4kvf+Ea5rA7cO7Pc0hokwC5wvl/rG8PfYsXNr+ABuEN8OXtX/rlwK/5pnzIZXJ0Tu4saUU9vn+8ny+cI5PJhOPHj6N+/frlXkTXNg6HA4WFhQgNDYVcLoder0diYiLefPNNjBs3TurwatSZM2dQr149/PTTT+jZs6fU4ZTqyvNTVUIIdOjQAY888gjuuuuuaoyw4sxmMxo2bIjPP/8cnTp1KnWZq70XK5obVOob6cocq7Scq7oHVyMiqi4WuwW5hlyv7t+07qhz0Nt+af38MmkCWIacqLbYvXs3du/eja5du6KoqMhV1vpamoZ5qw0bNkCn06F58+bIysrCk08+iZSUFHTp0kXq0GqcTCbDRx99hL/++kuyGE6ePIlnn322zKSpulT7t5K/ftETkfcrNBdCZ9UhXiv93abS5BhysPPcTgBA39Sa7UDrrYQQEA6BOpqSZXyJyPe8//77eOSRR6BSqdC2bVts2bKlyuWovZnVasUzzzyDY8eOISQkBB07dsSyZcu89k5odWvZsmW542XVpEaNGqFRo0Y1vh3+O4+I/EaBqQAOhwMKedmdU6W07t91EBBoEdMCiaGJ5T+hFjLajNCoNAgLZP8mIl/XunVrbNy48ZqbgvmCvn371njFOJJepROnAwcOuCpaCCHwzz//QKdzDuKWk5NTvdEREVUTIQQu6C9AE1D5MT485fJmev5KZ9GhjoZlyImIyPtUOnHq2bOnWz+mm266CcB/A2SxqR4ReSOD1YACcwGCVcFSh1Kqk/kncSDnABQyBXo1qLlSqt7OZDMhLjhO6jCIiIhKqFTidPz48ZqKg4ioRhWYC2C0GhGl8c629Wv/dY7ddH3d6716jKmaZHPYECAPQKia1U6JiMj7VCpxqkhd9D179tRo/XQioqrIM+ZBIVd45V1xIcR/zfRS/buZXrAqmIkTERF5pWrpqVdQUIA5c+agTZs2aNu2bXWskoio2tgddlzQX4BW6Z1lyA/mHMSpwlNQK9ToltJN6nAko7fqEaONYRlyIiLyStf07bRhwwYsXLgQK1asQHJyMm677TYsWLCgumIjIqoWheZC6C16RAV5aTO9Y85mel1TuvptUQQhBOwOu982UyT/ZLFbYHPYPLKtAHkAVAqVR7ZFVFtVOnE6c+YMFi9ejIULF0Kv12Po0KGwWq345ptv0KRJk5qIkYjomhSaC2F1WKFUeN94GnZhR+axTAD+3UzPaDMiSBnEZnrkNyx2C3ac2QGdVeeR7QUrg9G+bnsmT//vnnvuQUZGBp555plqX/fo0aORn5+PVatWVfu6PWHjxo3o3r078vLyEB4eXq3rlslkWLlyJW6++WZcuHABTZs2xZ49e5CY6BtDcFSqqd6AAQPQpEkTHDhwAO+99x7OnTuH9957r6ZiIyKqFhcNF732YmG/bj9yjbkIU4fhhro3SB2OZHQWHcICw6BVeWdzSqLqZnPYoLPqoJKrEKIKqdGHSq6Czqqr9N2toqIiPPLII0hOToZGo0HHjh2xc+dOt2VGjx4NmUzm9ujQoYPbMo899hgiIiKQlJSEL774wm3eV199hUGDBlUoHovFgtdeew0tW7ZEUFAQoqKi0KlTJyxatAhWq9UVz80333zV9fz111/44Ycf8OCDD7qmdevWzRW/Wq1GYmIiBg0ahBUrVlQotqvp1q0bHnnkkWtez4kTJyCTyRAQEICzZ8+6zcvKykJAQABkMhlOnDhR4XXedNNNmDJlyjXHVhUxMTG45557MH36dEm2XxWVSpzWr1+Pe++9FzNnzsTAgQOhUHjnIJJERMVMNhPyjHleW4Z8c95mAEDP+j298o6Yp5hsJsRqY6UOg8jj1AFqBAYE1uhDHaCuUmz33nsvMjMzsXTpUuzbtw99+vRBr169Sly09+vXD1lZWa7HmjVrXPN+/PFHfP7551i/fj1effVVjBkzBrm5uQCA/Px8PPvss/jggw/KjcVisaBv37545ZVXMH78eGzduhU7duzAAw88gPfeew9///13hffr/fffxx133IGQkBC36ffddx+ysrJw9OhRV0uqO++8E+PHj6/wuj0hISEBS5YscZv2ySef+Mxdm8uNGTMGy5YtQ15entShVEilEqctW7agqKgI7dq1w/XXX4/3338fFy9erKnYiIiuWaG5EAarwSv7DpltZmzL3wYA6J/WX+JopFNchjwsMEzqUIjo/xmNRnzzzTd47bXX0KVLF6SlpWHGjBmoX78+5s6d67asWq1GXFyc6xER8V9fxcOHD6Nr165o164d7rrrLoSGhuLYsWMAgCeffBKTJk1CUlJSufHMnj0bmzdvxs8//4wHHngArVq1QoMGDTB8+HBs374dDRs2rNB+ORwOLF++HIMHDy4xLygoCHFxcahXrx46dOiAV199FR9++CHmz5+Pn376ybXc2bNnMWzYMNSpUweRkZEYMmRImXd5Ro8ejU2bNuGdd95x3dE6ceIE7HY7xo0bh/r160Oj0SA9PR3vvPNOhfZh1KhRWLRokdu0xYsXY9SoUSWWPXDgAAYMGIDg4GDExsbinnvuQU5ODgBn0vLbb7/h3XffdYut2K5du9CuXTsEBQWhY8eOOHTokNu6586di9TUVKhUKqSnp2Pp0qVu848cOYIuXbogMDAQTZo0QWZmZon4mjdvjri4OKxcubJC+y61SiVON9xwA+bPn4+srCzcf//9+OKLL5CYmAiHw4HMzEwUFRXVVJxERFWSb8yHEAJyWbUUEa1Wv535DQaHAbHaWLSMayl1OJLRWXTQqrTs30TkRWw2G+x2OwIDA92mazQa/Prrr27TNm7ciJiYGDRq1Aj33XcfLly44JrXrFkz7Nq1C3l5edi1axeMRiPS0tLw66+/4s8//8RDDz1UoXiWLVuGXr16oXXr1iXmKZVKaLUVa+b7119/IT8/H+3atavQ8qNGjUKdOnVcTfYMBgO6d++O4OBgbN68Gb/++iuCg4PRr18/WCyWEs9/5513cMMNN7juZmVlZaFevXpwOByoW7cuvvrqKxw4cADTpk3DM888g6+++qrcmAYPHoy8vDzXefj1119x6dKlEk0es7Ky0LVrV7Rq1Qp//PEH1q5di/Pnz2Po0KEAnMnoddddh3vvvdcttmLPPvss3nzzTfzxxx8ICAjA2LFjXfNWrlyJhx9+GI899hj279+P+++/H2PGjMEvv/wCwJmg3nrrrVAoFPj9998xb948TJ06tdT9ad++PbZs2VLufnuDKl1JBAUFYezYsfj111+xb98+PPbYY3jllVcQExNTagZPRCQFh3DgvP68V95tAv4b9LZPgz5emdh5is6iYxlyIi8TEhKCG264AS+88ALOnTsHu92OTz/9FNu3b0dWVpZruf79+2PZsmXYsGED3nzzTezcuRM9evSA2WwGAPTs2RN33303rrvuOowePRqffPIJtFotJk6ciA8//BBz585Feno6OnXqdNXmdkeOHEHjxo2veb9OnDgBhUKBmJiYCi0vl8vRqFEj152YL774AnK5HB9//DGaN2+OjIwMLFq0CKdOncLGjRtLPD8sLAwqlcp1NysuLg4KhQJKpRIzZ87Eddddh/r16+Puu+/G6NGjK5Q4KZVKjBgxAgsXLgQALFy4ECNGjIBS6d7ce+7cuWjTpg1efvllNG7cGK1bt8bChQvxyy+/4PDhw2XGVuyll15C165d0aRJEzz11FPYunUrTCYTAOCNN97A6NGjMWnSJDRq1AiPPvoobr31VrzxxhsAgJ9++gkHDx7E0qVL0apVK3Tp0gUvv/xyqfuTmJhYqX5ZUrrmb+r09HS89tprOHPmDD7//PPqiImIqFroLDoUWYq8suBAgakAv552/rfQn6vpCSHgEA6WISfyQkuXLoUQAomJiVCr1Xj33XcxfPhwt4vrYcOGYeDAgWjWrBkGDRqEH3/8EYcPH8YPP/zgWmb69Ok4evQo9u3bh1tuuQUvv/wyevXqBaVSiRdffBG//vor7r33XowcObLMWIQQ1TKAudFohFqtrtS6Lt/2rl27cPToUYSEhCA4OBjBwcGIiIiAyWTCv//+W6lY5s2bh3bt2iE6OhrBwcGYP38+Tp06VaHnjhs3DsuXL0d2djaWL1/udjeo2K5du/DLL7+44gwODnYlnxWJtUWLFq7f4+PjAcB1N/HgwYPo1KmT2/KdOnXCwYMHXfOTkpJQt25d1/wbbii9AJJGo4HBYCg3Hm9Qbf/eUygUuPnmm8utZEJE5CmF5kKYbWYEagPLX9jDMo9lwuawISUwBQ0jKtY2vzYqLkMepmb/JiJvk5qaik2bNkGv16OwsBDx8fEYNmwY6tevX+Zz4uPjkZycjCNHjpQ6/59//sGyZcuwe/duLFy4EF26dEF0dDSGDh2KsWPHorCwEKGhJZvtNmrUyHVRfi2ioqJgMBhgsVigUpVfbdVut+PIkSO47rrrADiboLVt2xbLli0rsWx0dHSF4/jqq68wZcoUvPnmm7jhhhsQEhKC119/Hdu3b6/Q85s1a4bGjRvjrrvuQkZGBpo1a4Y9e/a4LeNwODBo0CC8+uqrJZ5fnAhdzeV3sIoTR4fDUWJascsTTCFEifWVlaxeunSpUsdOShW+4zRhwgScPn26Qst++eWXpb6giIg8KdeQ67XNv9YcdVad6hbRTdpAJKa36BGmDvPa5pREBGi1WsTHxyMvLw/r1q3DkCFDylw2NzcXp0+fLvXCXAiB8ePH480330RwcDDsdrurjHjxz8svzC83fPhw/PTTT9i9e3eJeTabDXq9vkL70qpVKwDOogkV8cknnyAvLw+33XYbAKBNmzY4cuQIYmJikJaW5vYICyv9H0AqlQp2u91t2pYtW9CxY0dMmjQJrVu3RlpaWqXvWI0dOxYbN24s9W5Tcax///03UlJSSsRa3CestNgqIiMjo0Rft61btyIjIwMA0KRJE5w6dQrnzp1zzd+2bVup69q/f3+pfde8UYUTp+joaDRr1gz9+/fH3LlzsXPnTpw9exa5ubk4evQovvvuOzz55JOoV68eZs+e7XZ7j4jI06x2K3IMOdAqva+Z3pnCM/jr/F+Qy+ToUqeL1OFIymgzIjY4tlqa4BD5IrPNDJPNVKMPs81cpdjWrVuHtWvX4vjx48jMzET37t2Rnp6OMWPGAAB0Oh0ef/xxbNu2DSdOnMDGjRsxaNAgREVF4ZZbbimxvvnz57v1h+/UqRM2bNiA33//HW+//TaaNGlS5oCrjzzyCDp16oSePXvigw8+wN69e3Hs2DF89dVXuP7668u8w3Wl6OhotGnTpsRFP+As/JCdnY0zZ85g+/btmDp1KiZMmICJEyeie/fuAIC7774bUVFRGDJkCLZs2YLjx49j06ZNePjhh3HmzJlSt5mSkoLt27fjxIkTyMnJgcPhQFpaGv744w+sW7cOhw8fxnPPPVdijKzy3Hfffbh48SLuvffeUuc/8MADuHTpEu666y7s2LEDx44dw/r16zF27FhXspSUlIQdO3a4xVYRTzzxBBYvXox58+bhyJEjeOutt7BixQo8/vjjAIBevXohPT0dI0eOxN69e7FlyxY8++yzJdZjMBiwa9cu9OnTp1L7LpUK/yv2hRdewIMPPogFCxZg3rx52L9/v9v8kJAQ9OrVCwsWLPCZnSei2qvQXAi9Ve+VYwOtOeK823RdwnWIUPpv3x6bwwaFXMFqeuSXAuQBCFYGQ2fVlVqNrboFK4MrfQe+oKAATz/9NM6cOYOIiAjcdttteOmll1xNuBQKBfbt24clS5YgPz8f8fHx6N69O7788kuEhIS4XYSfP38eL7/8MrZu3eqa1r59ezz22GMYOHAgYmJi8Mknn5QZi1qtRmZmJt5++218+OGHePzxxxEUFISMjAw89NBDaNasWYX3a/z48Vi8eDEmT57sNn3+/PmYP38+VCoVIiMj0bZtW3z55ZduSWBQUBA2b96MqVOn4tZbb0VRURESExPRs2fPUpsYAsDjjz+OUaNGoUmTJjAajTh+/DgmTJiAPXv2YNiwYZDJZLjrrrswadIk/PjjjxXej4CAAERFRZU5PyEhAb/99humTp2Kvn37wmw2Izk5Gf369YNcLocQApMnT8aDDz7oFltF3HzzzXjnnXfw+uuv46GHHkL9+vWxaNEidOvWDYCzqMbKlSsxbtw4tG/fHikpKXj33XfRr597n95vv/0WSUlJ6Ny5c4X3W0oyUVojxArIz8/HyZMnYTQaERUVhdTUVJ/5j2FhYSHCwsJQUFBQ5oucyme1WrFmzRoMGDCgRCUX8g7+fI6O5x3Hnuw9SAorf3wQTxJC4JavbsGZwjOY2WUmWha2REKbBMgV/ldVr8BUAAGBLsldvHLwX39+//gKXzhHJpMJx48fR/369UuU9rbYLbA5bB6JI0AeAJWi/D491cnhcLj6LMnl3vMZZzKZkJ6eji+++KLMggX+wBvOT/v27fHII49g+PDhNb6tq70XK5obVLnxf3h4eJm3U4mIpHZefx6BAd5XFGLfhX04U3gGmgANuiV3Q94+3xgtvSborXokhyd7ZdJE5AkqhcrjyQwBgYGBWLJkiWsgWJLGhQsXcPvtt+Ouu+6SOpQKq1R6aTAY8MADDyAxMRExMTEYPnx4tbzo5syZ48r+2rZtW+FBsH777TcEBAS4OvoREQGAwWpAgbkAwapgqUMpobiZXveU7tAoNRJHIy2bw4ZITaTUYRCRH+ratWuJAWPJs2JiYvDkk0/6TIs1oJKJ0/Tp07F48WIMHDgQd955JzIzMzFx4sRrCuDLL7/EI488gmeffRa7d+9G586d0b9//3Lr2BcUFGDkyJHo2bPnNW2fiGqfAlMBDBYDNAHelZhY7VZkHssEAAxoOEDiaKRlspkQGBDI/k1EROQzKtVUb8WKFViwYAHuvPNOAMCIESPQqVMn2O12t8HQKuOtt97CuHHjXBVBZs+ejXXr1mHu3LmYNWtWmc+7//77XYOwrVq16qrbMJvNrhGsAWc7RsDZNrq4/CVV3pUlRMn7+Os5yinKgVzIIRwCAlXqxlkjtpzcggJzAaKDotE2ti0cdmfH6eKf/qTIWAStUgu1TO21r09/ff/4El84R1ar1TnQs8NR4YpltUVxN/ri/Sfv4m/nx+FwQAgBq9VaIm+p6GdIpRKn06dPu1W9aN++PQICAnDu3DnUq1evMqsCAFgsFuzatQtPPfWU2/Q+ffq4VV250qJFi/Dvv//i008/xYsvvljudmbNmoWZM2eWmL5+/XoEBXHskGuVmZkpdQhUDn89R+dwrvyFPGjF8RUAgE7aTji/57xrevbebKlCkpQZZvy4r+IVpKTir+8fX+LN5yggIABxcXEoKirySPU8b1RUVCR1CHQV/nJ+zGYzjEYjNm3aVGLsKoPBUKF1VCpxstvtJUZZDggIgM1WtYowOTk5sNvtiI11LxccGxuL7OzSLySOHDmCp556Clu2bEFAQMXCf/rpp/Hoo4+6/i4sLES9evXQp08fVtW7BlarFZmZmejdu7fXVjPyd/54jnIMOdhxdgditDFeNfhtgbkAf/z1BwDgjk53ICEiAQ67A9l7sxHXMs6vqurZHXac151H+7rtERVUdildqfnj+8fX+MI5cjgcOH78OAoLCxEdHQ2lUulTfTquhRACer0eWq3Wb/bZl/jL+Sm+y1RYWAitVovevXuXqCJY3BqtPJW6qhBCYPTo0VCr1a5pJpMJEyZMcI1ADDib9FXGlSdLCFHqCbTb7Rg+fDhmzpyJRo0aVXj9arXaLeZiSqXSaz9ofQmPo/fzp3Oks+kgZAIqpXdVqvr5xM+wOWxoGNEQ6dHpbvPkCrlfJU56mx7aQC0itBFQBnj/69Kf3j++ytvPUYMGDZCVlYWsrCypQ/EoIQSMRiM0Gk2tvjD3Vf52foKCghAfH1/iJhCACn9+VCpxGjVqVIlpI0aMqMwq3ERFRUGhUJS4u3ThwoUSd6EA563EP/74A7t373YNWlbcXjEgIADr169Hjx49qhwPEfk2u8OOc0XnoFVpy1/Yw9YcdVbT8/eiEICzDHl8cDzUASX/oUVUG6lUKiQlJcFms5VoIlSbWa1WbN68GV26dPHqxNZf+dP5USgUCAgIuOYEsVKJ06JFi65pY1dSqVRo27YtMjMz3UZlzszMxJAhQ0osHxoain379rlNmzNnDjZs2ICvv/4a9evXr9b4iMi3FJoLUWQuQmSQd5W4PlN4Bn+d/wtymRz9UvuV/4RazmK3IFobLXUYRB4lk8m8/s5YdVMoFLDZbAgMDPSr/fYVPD+VJ3kHgEcffRT33HMP2rVrhxtuuAEfffQRTp06hQkTJgBw9k86e/YslixZArlcjmbNmrk9PyYmBoGBgSWmE5H/yTflw+qwet2AksVjN12XcJ3fJwxmmxkqhYplyImIyOdInjgNGzYMubm5eP7555GVlYVmzZphzZo1SE5OBgBkZWWVO6YTEZEQAtm6bK8bu0kIwWZ6l9Fb9QhWBSNEHSJ1KERERJUieeIEAJMmTcKkSZNKnbd48eKrPnfGjBmYMWNG9QdFRD5FZ9Eh35TvdXcy9l3YhzOFZxAYEIjuKd2lDkdyBqsBSWFJkMv8pxgGERHVDvzmIqJaId+UD5PNhMCAQKlDcVPcTK9HSg8EKf173DiHcA6wGB4YLm0gREREVcDEiYhqhfP6817Xt8lsM2P9sfUA2EwPcN5t0ig1XndXkIiIqCKYOBGRzzNYDbhkvIRgVbDUobjZdHITCs2FiNXG4rqE66QOR3J6ix7hgeHQKL2rHxoREVFFMHEiIp+Xb8qHwWKAVuld4zd9f/h7AMBNjW6CQq6QOBrpme1mxGpLjtFHRETkC5g4EZHPyzXkQi6Te9XI59m6bPx+5ncAwKBGgySORnpWuxVKuZLN9IiIyGcxcSIin2axW3BBf8Hrylv/cOQHCAi0iW+DuqF1pQ5HcnqrHlqVlokTERH5LCZOROTT8k350Fl0XtVMTwjhaqY3uNFgiaPxDnqrHjHaGDZZJCIin8XEiYh82iXjJQDwqgvy3dm7cabwDIKUQehZv6fU4UhOCAGHw4EITYTUoRAREVUZEyci8ll2hx3ndee96m4TAHx36DsAQO8GvVlBDoDRZmQZciIi8nlMnIjIZxWYC1BoLvSq/k16ix4/Hf8JADA4nc30AOcxCVOH+f0AwERE5NuYOBGRz8oz5sHusCNAHiB1KC6ZxzJhspmQHJaMFjEtpA7HK5hsJsQGx3pV1UMiIqLKYuJERD5JCIGsoiyvawpXXBRiUKNBTBQA2Bw2yOVyNtMjIiKfx8SJiHxS4f+1d9/hcVT3/sffW7XqXbJluRvbuMbYFBMDoZmYQAgJaRDCTYAbAqH5R6hJKElw7g0hpoUWEgihpjj0axzAJnRcsY17t1Wsru11fn+MJVuWZNlgaUbS5/U8+0g7e2b2O3P2rOarc+ZMtJmmaBNZ3iyrQ2m1tXErK6pX4HQ4+coRX7E6HFsIxoJkejQNuYiI9H5KnESkV2qMNBJLxvC5fVaH0url9S8DML18OsWZxRZHYw+BWIDizGI8Lo/VoYiIiHwuSpxEpNcxDIPKQKWtkqZEKsHLG8zESZNC7JU0khSmF1odhoiIyOemxElEep3maDP14XpbDf/6YOcH1IZqyU3L5cQhJ1odji1EEhF8bh+5vlyrQxEREfnclDiJSK9TH65vPSm3ixfXm/duOvOIMzUsbY9ALECuL9d299kSERH5LJQ4iUivkjJS7GreZauT8cZII29vexswZ9MTUzgRpiSjRLMLiohIn6DESUR6lcZII42RRlsN03tt42skUgnGFo1ldOFoq8OxhWQqicPhIC89z+pQREREDgslTiLSq9SF6oin4nhdXqtDAcyJKl5cZw7TU2/TXsF4kCxPlq0SXBERkc9DiZOI9BqJVIIKf4Wt7t20umY1G+o34HV5+fLIL1sdjm0EY0EKMwptk+CKiIh8XkqcRKTXaIw00hi11zC9f6z5BwCnDT9Ns8ftI56KU5RRZHUYIiIih40SJxHpNWqCNWCA2+m2OhTAnBb99U2vA/CNcd+wOBr7iCQipLnTbJXgioiIfF5KnESkV4glY7YbpvfKhleIJqOMKhjFpJJJVodjG4FYgBxvjq3qSkRE5PNS4iQivUJDuAF/1E+2N9vqUABzUoiWYXrnHXmeptzeRzgepjSrFKdDf2JERKTv0F81EekVdgd343Q6cTldVocCwNKqpWxt3Eq6O50vj9KkEC1apiHX9V4iItLXKHESEduLJCJUBarI8drnmpmW3qYvj/qyhqTtIxQPkenJJDdNiZOIiPQtSpxExPbqw/UEYgEyvZlWhwKY8by55U0AvnGkJoXYVzAepCC9gDR3mtWhiIiIHFZKnETE9qr8VXicHttcM/PiuhdJpBKMLx7P2KKxVodjK9FklOLMYqvDEBEROezscRYiItKJYCxITbjGNlNbp4wU89bOA9TbtL9oIkqaS9OQi4hI36TESURsrT5cTygWIsOTYXUoAHy06yN2+XeR5c1i5siZVodjK8F4kCxvFtlp9pj5UERE5HBS4iQitmUYBpWBSrwur22m+26ZFOKsI87C5/ZZHI29hOIhBmQNsM2QShERkcNJf91ExLb8MT91oTrbzNC2O7ibt7e9DcDXj/y6xdHYS8pIAZDny7M2EBERkW6ixElEbKs+XE84ESbdk251KAC8sO4FkkaSowYcxYj8EVaHYyuhuDmcUvdvEhGRvkqJk4jYUjKVZGfTTjLc9ri2KZFK8K+1/wLU29SRQCxAfnq+hi+KiEifpcRJRGypPlxPfaTeNkO/3t3xLtXBavJ8eZwy/BSrw7GdWDJGcYamIRcRkb5LiZOI2FJVoArDMPC4PFaHAuydFOKro7+K1+W1OBp7iSVjeF1eDdMTEZE+TYmTiNhOMBakMlBpm96mHU07eH/H+4CG6XUkEAuY05B7NQ25iIj0XUqcRMR2akO1BGIBMj2ZVocCwLOrn8XA4IuDv0h5TrnV4dhOyzTkLqfL6lBERES6jRInEbGVZCrJjqYdZHoybXHvJn/Uz4vrXgTg/InnWxyN/bRMQ56fnm9xJCIiIt1LiZOI2IrdJoV4Yd0LhBNhRuaP5JiyY6wOx3aCsSCZnkzb3GtLRESkuyhxEhFbqfBXYGDgdrqtDoVEKsGzq58F4LsTvmuLHjC7CcQCFGYUkuZOszoUERGRbqXESURsIxgLUhWsIi8tz+pQAFi4dSFVgSryfHnMGjXL6nBsKZ6KU5ypachFRKTvU+IkIrZRE6ohGAuS5c2yOhQAnl71NADnHXmeelQ6EElE8Ll9GqYnIiL9ghInEbGFfSeFsINVu1fxSfUneJwezht3ntXh2FIgFiDXl2ubRFdERKQ7KXESEVuoC9dRH7bPpBAtvU1njDyDoowii6Oxp1A8RElGia79EhGRfkGJk4jYQoW/AofDYYtJIaoD1byx+Q0AvjvxuxZHY0+JVAKn00leep7VoYiIiPQIJU4iYrlALEB1oNo218o8/+nzJI0kUwdOZUzhGKvDsaVgLEiWJ8s2dSYiItLdlDiJiOVqgjUE4/aYFCIcDzNv7TxAN7w9kEAsQElmCR6Xx+pQREREeoQSJxGxVCKVYHvTdttMCvHKhldojjZTnlPOjMEzrA7HlgzDIGkkKcwotDoUERGRHqPESUQsVReqozHSaItJIVJGqnVSiO+M/w4up8viiOwpnAiT4cnQMD0REelXlDiJiKUqA5W2mRTivR3vsb1pO1neLL465qtWh2NbLdOQZ3rt0UsoIiLSE5Q4iYhlGiONVPgryPflWx0KsHcK8q+N+RoZngyLo7GvSCLCgKwBVochIiLSo5Q4iYhldjXvIpaM2SJJWV+3no92fYTT4eTb479tdTi2FU/G8Tg9GqYnIiL9jhInEbFEIBZgp3+nbXqb/rTsTwCcNuI0BmYPtDga+wrEAmSnZZOTlmN1KCIiIj1KiZOIWKLSX2neC8gGU5BvadjCG1vMG97+8As/tDgaewvGg5RmlWriDBER6XeUOIlIjwvHw2xv2m6b4V5/Xv5nDAxOHnYyowpGWR2ObaWMFIBteglFRER6khInEelx1cFqmqJNtkicdjbvZP6m+YB6m7oSiofMach91tebiIhIT1PiJCI9KpaMsbVhK1meLBwOh9Xh8MSKJ0gaSY4ffDxHFh9pdTi2FogFKEwvxOf2WR2KiIhIj1PiJCI9qjpQTUOkwRY3vK0KVPHS+pcA9TYdjFgyRnFmsdVhiIiIWEKJk4j0mEQqwbbGbaS7020xucCTnzxJIpVg6sCpfGHAF6wOx9YiiQhp7jQN0xMRkX5LiZOI9JiaYA21oVry062fXKA2VMu/1v4LgIunXGxtML1AIBYgz5dHtjfb6lBEREQsocRJRHpEykixvWk7HpcHt9NtdTg8tfIposkoE0smcnTZ0VaHY3uheIgBWQNscV2aiIiIFZQ4iUiPqAvVUR2spiC9wOpQaIw08vdP/w6YvU1KBg4snozjcXo0DbmIiPRrSpxEpNsZhsHO5p0AeF1ei6OBZ1c9SzgRZnThaL44+ItWh2N7/pif7LRsctJyrA5FRETEMkqcRKTbNUQaqPBXUJheaHUoBGIBnl39LKDepoMVjAUZkDXAFhN6iIiIWEWJk4h0u13Nu0ikEra4/8/zq58nEAswPG84Jw872epwbC+RSuB0OinMsD7pFRERsZISJxHpVo2RRnY277TF9THheJinVj4FwA+n/BCnQ1+BXQnEAmR5s8hN0zTkIiLSv+msQUS6jWEYbG3cSiwZI9ObaXU4PLv6WZqiTZTnlHP6iNOtDqdXCMQDDMgcgMflsToUERERSylxEpFuUxeuY2fTTooyiqwOhcZII48vfxyAH039kS2mRLe7lJECAw3TExERQYmTiHSTlJFiS8MWDAxbXNv0p2V/IhgPMrpwNGeMPMPqcHqFYCxIpieTPF+e1aGIiIhYTomTiHSL3cHdVPgrbNHbVOGv4G+f/g2Aq465Stc2HSR/zE9xZjFp7jSrQxEREbGczh5E5LBLpBJsadiC2+m2xX2bHlr8EPFUnGPKjuHYQcdaHU6vYBgGiVSC4sxiq0MRERGxBVskTn/4wx8YPnw4Pp+PqVOn8p///KfTsv/85z85/fTTKS4uJicnh+nTpzN//vwejFZEulIVqKI6WG2L3qb1det5beNrAPzkmJ/ovk0HKRQPkeHN0DA9ERGRPSxPnJ577jmuueYabrnlFpYtW8YJJ5zArFmz2L59e4fl3377bU4//XReffVVlixZwsknn8zZZ5/NsmXLejhyEelILBljU/0mfC6fLSZguP/j+zEwOH3E6YwrHmd1OL2GP+anML2QDE+G1aGIiIjYguVnNXfffTcXX3wxl1xyCQBz585l/vz5PPjgg8yZM6dd+blz57Z5fuedd/LCCy/w0ksvMWXKlA7fIxqNEo1GW583NzcDEI/Hicfjh2lP+p+WY6djaF9W1NGOph3UBeooyy4jlUz12Pt2ZHHlYt7b8R4uh4sfH/Vjy+PZX0s8dosLIBaLUZRW1K/bt77j7E91ZG+qH3tT/ex1sMfA0sQpFouxZMkSbrzxxjbLZ86cyXvvvXdQ20ilUvj9fgoKCjotM2fOHG6//fZ2y19//XUyMvTf1M9rwYIFVocgXejpOnLhoprqHn3P/RmGwe83/B6AMwrPwLnRSQUVlsbUmaoVVVaH0I4TJys2rWAFK6wOxXL6jrM/1ZG9qX7sTfUDoVDooMpZmjjV1taSTCYpLS1ts7y0tJSqqoM7kfjd735HMBjkW9/6VqdlbrrpJmbPnt36vLm5mcGDBzNz5kxycnI+W/BCPB5nwYIFnH766Xg8ujmmHfV0HW2u38zqmtWU55Rbfi3Rv7f8mw2hDWS4M7jq9KsoSO/8nytWSSVTVK2oYsDkAThdlo+cblUbrCXHl8PRZUdbXo9W0nec/amO7E31Y2+qn71aRqN1xfKhekC7P8yGYRzUH+tnnnmG2267jRdeeIGSkpJOy6WlpZGW1n46XY/H0+8/KIeDjqP99UQdBWIBtge2k5eRh8vt6tb36koileDBJQ8C8L1J36Moy/pJKg7E6XLaKnGKGBGOzDsSr9f6GRHtQN9x9qc6sjfVj72pfjjo/bf0L3VRUREul6td79Lu3bvb9ULt77nnnuPiiy/m+eef57TTTuvOMEXkIGxv3E4gFiDXl2t1KPxr7b/Y0byDgvQCLph4gdXh9CqxZAyvy6vZ9ERERPZjaeLk9XqZOnVqu7GVCxYs4Pjjj+90vWeeeYb/+q//4umnn+YrX/lKd4cpIl2oD9ezrWmbLYbDheIhHl36KACXHnUpmd5MiyPqXfxRPzlpOeSkaRiziIjIviwfqjd79mwuvPBCpk2bxvTp03nkkUfYvn07l112GWBen7Rr1y7+8pe/AGbS9P3vf5977rmH4447rrW3Kj09ndxc6//TLdLfJFNJNtZvJJ6Kk+XNsjocHl/+OHXhOgbnDObcsedaHU6vE0qEGJE/AqfDPkMHRURE7MDyxOnb3/42dXV13HHHHVRWVjJhwgReffVVhg4dCkBlZWWbezo9/PDDJBIJrrjiCq644orW5RdddBGPP/54T4cv0u/t8u+iormCgdkDrQ6FrY1b+csn5j9Zrj72alvcR6o3SaQSOB1O8tPzrQ5FRETEdmxxVnH55Zdz+eWXd/ja/snQwoULuz8gETkogViADXUbyPRmWp6kGIbB/777vyRSCWYMnsFJQ0+yNJ7eyB/1k5uWa4vr1EREROxGYzFE5DMxDIPNDZtpjjaT77O+h+L1za/zUcVHpLnSuO746/r1NNqfVSAeYGD2QMuTYBERETtS4iQin0l1sJqtjVspySyxPEkJxALc/f7dAPzgCz+gPKfc0nh6o3gyjsvhojC90OpQREREbEmJk4gcsmgiyoa6Dbgdbnxun9Xh8PCSh6kL1zEkZwjfn/x9q8PplZqiTeT58jQNuYiISCeUOInIIdvauJWaUA3FmcVWh8K6unU8t/o5AK7/4vV4Xbpp62cRiocoyy7D5bT25sUiIiJ2pcRJRA5JQ7iBLY1bKEwvtHzK6pSR4jfv/IaUkeL0EadzXPlxlsbTW0UTUbwuL4UZGqYnIiLSGSVOInLQWu7ZFE1GbXHPphfXvcjK3SvJ9GQy+7jZVofTazVHm8lPz9dNb0VERA5AiZOIHLRd/l3sbN5JaUap1aHQGGnkvo/uA+BHU39ki2GDvVUoYQ7Ts7oHUURExM70V1JEDkrLPZuyvFl4XB6rw+G+j+6jKdrEEQVH8K3x37I6nF4rkoiQ7k6nIL3A6lBERERsTYmTiHQpmUqyrnYd/pjfFvdsWl61nBfWvQDAjTNu1H2HPoemSBMF6QVke7OtDkVERMTWlDiJSJe2Nm5le9N2BmQOsPyeTeF4mNsX3Q7AV0d/lcmlky2NpzczDINoMkpZdpnl9SoiImJ3SpxE5IBqQ7Wsr1tPni/PFkP05n44lx3NOyjNLOWa466xOpxeLRQPkeHJ0DA9ERGRg6DESUQ6FUlEWFOzhmQqaYsZ197Z/g7/WPMPAG496VZbxNSbNUebKcooItObaXUoIiIitqfESUQ6lDJSrK9bT02ohtIse8yi98u3fwnAdyd8l2MGHWNxRL2bYRjEU3EGZA2wOhQREZFeQYmTiHRoV/MutjRsoTSz1PJpqg3D4Nf/+TV14TpG5I3giqOvsDSeviAYD5LlzdIwPRERkYOkxElE2mmKNLG2di0Zngx8bp/V4fDKhld4a+tbuJ1u7jj5DlvE1Ns1RZooySwh3ZNudSgiIiK9ghInEWkjnoyztnYtoXjIFr0RFf4KfvvebwHzRrdji8ZaHFHvlzJSpEhRkllidSgiIiK9hhInEWljU8Mmdvl32eLal2Qqya0LbyUYDzKpdBLfn/R9q0PqE/xRP9nebFskxiIiIr2FEicRaVXhr2Bj3UaK0otscVPZp1Y+xbKqZWR4MrjjS3fgcrqsDqlP8Mf9DMgaQJo7zepQREREeg0lTiICQH24ntW7V+NxeWwxPfWGug08uPhBAGYfN5vynHKLI+obEqkEGFCcWWx1KCIiIr2KEicRIRgLsrJ6JZFEhKKMIqvDwR/1c8O/byCeinPi0BM5Z8w5VofUZwRiAXLScsj35VsdioiISK+ixEmkn4slY6zavYqGSAMDswZaHQ4pI8XP3/o525u3MyBrAD8/4ec4HA6rw+ozmqPNlOeU43F5rA5FRESkV1HiJNKPJVNJ1tauZZd/FwOzBtoiQXl4ycO8s+Md0lxp3HX6XeSnq2fkcIkkIqS50zSbnoiIyGegxEmknzIMg00Nm9hUv4kBmQNsMRnEm1ve5LFljwFwywm3aOrxw6wh3EBJZgk5aTlWhyIiItLrKHES6ad2Nu9kXe06CtILbDG72uaGzdy26DYAvjvhu5x5xJnWBtTHJFNJEkaCQdmDbNGzKCIi0tsocRLph2qCNXxa8ynp7nSyvFlWh4M/6ue6168jFA8xbeA0rj72aqtD6nOao83kpuVSmFFodSgiIiK9khInkX6mOdrM6t2rSaQStrh+KJlKcstbt7ROBjHn1Dm2GDbY1zTHmhmcMxivy2t1KCIiIr2SEieRfsQf9bOiagVN0SZKM0utDgeAh5Y8xHs73tNkEN0oHA+T7k7XvZtEREQ+ByVOIv1EIBZgRdUK6sP1lGWX2eI6l39v/jd/Xv5nAH524s80GUQ3aYhoUggREZHPS+NhRPqBYCzI6rrV1IZqGZQzCKfD+v+ZLK5YzC8W/gKA8yecz6xRsyyOqG9KppKkjJRtkmUREZHeSomTSD+wqmYVNeEaynPKbZE0fVrzKf/v9f9HLBnjxKEnctWxV1kdUp/VFG0iNy2Xoowiq0MRERHp1aw/gxKRbhOOhwGoDdYyKNsePU1bGrZw5WtXEowHmTZwGnNO0WQQ3SkQC1CeU47H5bE6FBERkV7N+rMoEekWoXiIlTUrARiQNQCX02VxRFDpr+Qnr/2EpmgT44rG8buZv7PFPaT6qlA8hM/toySrxOpQREREej0lTiJ9UDge5pPqT6j2VwPYImmqD9dzxatXUB2sZljeMO6ddS+Z3kyrw+rTGiONlGaWalIIERGRw0CJk0gf44/6WV61nEp/JQOzB1odDmAOF/vJaz9pvVfTA7MeIM+XZ3VYfVrrpBA5ZVaHIiIi0ifowgKRPqQ+XM/K6pU0hBsYlD0Ih2H9LGqRRIRr51/L+rr1FKQX8MCsByjNssc9pPqypmgTeb48CtMLrQ5FRESkT1CPk0gfURWoYmnFUpqjzZTnlNtieF4kEeGnC37KsqplZHoyuW/WfQzNG2p1WP2CP+bXpBAiIiKHkXqcRHo5wzDY0byDVbtX4cRJWbY9hmY1RZq49vVr+aT6E9Jcacw9Yy5jCsdYHVa/EIqHyPBkUJKpSSFEREQOFyVOIr1YykixqX4Ta2vXkuHJsM11QzXBGn7y2k/Y1LCJbG82c788l8mlk60Oq9+oj9QzNHco2WnZVociIiLSZyhxEuml4sk46+vWt147lOXNsjokAHY07eCKV6+gIlBBUUYR98+6n1EFo6wOq9+IJCK4cFGeU251KCIiIn2KEieRXigYC7K2di3bmrZRmlmKz+2zOiQA1tau5ar/u4r6cD2DcwZz/6z7GZQzyOqw+pX6cD1l2WWaFEJEROQwU+Ik0stUB6pZU7OGhkgDZVlltrn4f0nlEmbPn00wHmR04Wju+/J9FGbo5L0nxZIxDAyG5A7B4bB+RkUREZG+RImTSC+RTCXZ0rCFdXXrcOBgcM5g25wcL9y6kJvfvJlYMsZRA4/i7pl322boYH9SG6plYNZAJawiIiLdQImTSC8QjAVZV7eObY3bbHU9U8pI8diyx3hkySMYGJw09CTuPOVO0txpVofW78ST8dbeJqdDd5oQERE53JQ4idjc7uBu1tSsoT5cz8CsgbYZmtccbeYXb/2Cd3a8A8B5R57Hdcdfh9uprxUr1IXrKMksoTiz2OpQRERE+iSd4YjYVDwZZ1vjNtbXr8cwDFsNzVtXt47rF1zPLv8u0lxp3DjjRs4efbbVYfVbiVSCRCrBsLxh6m0SERHpJkqcRGyoLlTH+vr1VPorKfAV2Op+PC+vf5k578whmowyKHsQ/3Pa/zC2aKzVYfVrdaE9vU0Z6m0SERHpLkqcRGwkloyxpWELmxs2k0glGJQ9yDZD32LJGHe/fzd/X/N3AI4ffDy//NIvyfXlWhxZ/5ZIJYilYgzNG4rL6bI6HBERkT7LHmdkIkJNsIb1deupDlZTmF5omwkgALY2buXWhbeyumY1DhxcctQlXHrUpRoWZgP14XqK0osoySyxOhQREZE+TYmTiMUiiQib6zezpXELAOXZ5bbpOUikEjy18ikeXvIwsWSMbG82vzz5l8wYMsPq0ARzivpoIsqk0km26ZkUERHpq/SXVsQiyVSSykAlm+o3UReuoyi9iExvptVhtdpYv5E73r6DT2s+BWB6+XRuOeEWBmQNsDgyadEQaaAwo1C9TSIiIj1AiZNIDzMMg5pQDZsbNlMVqCLdnc7gnMG2GfaWSCV4YsUTPLr0URKpBFneLGYfN5uzR59tm1n9xEy8g/Eg44rH2WaKehERkb5MiZNID2qMNLKlYQs7mnfgxMnArIG2GmK1vm49ty+6nXV16wCYMXgGN59ws3o0bKgh0kBheiGlWaVWhyIiItIv2OeMTaQPC8aCbGvcxrambcSSMYoyivC5fVaH1aoh3MAjSx/hn2v+SdJIkpOWw3XTr2PWqFnqZbKhRCpBKB5iXPE4vC6v1eGIiIj0C0qcRLpRIBag0l/JtsZt+GN+CtILbNV7E01EeWbVM/x5+Z8JxoMAnDzsZG744g0UZRRZHJ10pjpYzaCcQZRll1kdioiISL+hxEmkGzRHm6nwV7C9aTuBWIC8tDwG5wy2Te9Nykjx+qbXuf/j+6kKVAEwpnAM1xx7DUcPOtri6ORAArEAbqebUQWjbDP7ooiISH+gxEnkMGqMNLKreRc7m3cSiofI9+UzNHeo1WG1sbRyKXM/nNs6W15pZimXH305s0bNss0EFdKxlJGiLlzHuOJxFKQXWB2OiIhIv6LESeRzShkp6kJ1VPgrqPBXEE1Gyffl22qom2EYvLvjXZ5Y8QRLK5cCkOHJ4L8m/xfnTzzfVtdbSefqw/UUphcyLG+Y1aGIiIj0O0qcRD6jcDxMTaiGnc07qQ3VYmBQ4CugxGOfa5gSqQSLGhbx8gsvs6F+AwBup5tzxpzDfx/13xRmFFocoRysWDJGJBFhQskEJboiIiIWUOIkcggMw6Ah0kCVv4oKfwX+mJ90dzolGSW2updOJBHhxXUv8uQnT1IZqAQg3Z3O14/8OudPOF9TWPdCu4O7Kc8pZ2D2QKtDERER6ZeUOIkchFA81DocrzZUSzwZJ9eXa6sJHwC2NW7jhXUv8OL6F2mMNAKQ687lO5O+w7fGf4tcX661Acpn0hxtxuf2MapglK5DExERsYgSJ5FORBIR6sP1VAeq2R3aTTAWJM2VRp4vz1ZDpSKJCG9seYMX1r7A0qqlrcvLssq4YMIFTAtNY/gXhuN06YS7N0qmkjREGphUMkmJr4iIiIWUOInsI5aM0RBuYHdwN9WBagKxAC6ni5y0HApzCm3Tu2QYBuvq1vHCuhd4beNrBGIBAJwOJ8eXH885Y87hhKEn4DScVCytsDha+TxqQ7UUZxQzJG+I1aGIiIj0a0qcpN8LxoI0RZuoCdZQG6o1kxAH5HhzGJQzyDZDo1qSpTe2vMGbW95kW9O21tcGZQ/i7NFnc/bos9tcv5RKpqwIVQ6TSCJC0khyROEReF1eq8MRERHp15Q4Sb+TMlL4o34aI41UB6tpCDcQiodwOVxkp2UzMGugbW4smjJSrN69mje3vsmbW95kl39X62sep4eTh5/M18Z8jWll02yT4MnhkTJSVAerGZE/gtJMTeYhIiJiNSVO0ucZhkEwHqQ52kxjuJGaUA2BWIBoMorP5SPLm0Vhun2G4TVFmvi44mM+3PUh7+14j+pgdetraa40vjjki5wy7BRmDJlBljfLwkilO1UHqynOKGZ04WjbfDZFRET6MyVO0ucYhkEoHsIf89MUMYfg+WN+IokITqeTTHcm+b580txpVocKQDwZZ+XulXyw8wM+3PUha2rXkDL2DrHL9GQyY8gMThl+CseXH0+6J93CaKUn1Ifr8bq8jC8ZT4Ynw+pwREREBCVO0gfEkjGCsSDBeJCmSBO1oVrCiTCRRAQHDtLd6eSk5VCSaY8b0wZiAVbtXsWK6hWsrF7JiuoVhBPhNmVG5I3g2PJjOXbQsRxddrRtkjzpfsFYkEgiwpSBUyhIL7A6HBEREdlDiZP0KrFkjHA8TCgeMu+tFK7DH/UTiodIppI4HU7SPelke7MpSi+yfIhTIpVgW+M2Pq39lE+qP+GT6k/Y3LAZA6NNuYL0Ao4pO6Y1WbJLkic9K5aMUReuY1zxOAZlD7I6HBEREdmHEiexpZSRIpKIEI6HCSfCBGIBGsONrdcmxVNxMCDNnUa6O52SzBLcTms/zoFYgI31G1lXt44NdRtYX7eeTQ2biCaj7cqW55QzsWQik0snM7l0MiMLRmpyh34uZaSoDFQyPG84IwtGWp70i4iISFtKnMRS8WScaDJKJBEhkogQioVoijYRiAWIJWNEk1GzJ8npxOfykeZKI8ubhcflsSRewzCoDdWyrWkbWxu37v3ZuI2KQMf3S8rwZDC6YDSTSicxqXQSE0smUphR2MORi91VBiopzSxlbNFYy/8JICIiIu3pr7N0q5SRIpaMmUlQIko0GSWaiBKIBfBH/UST0dbXDcPA4XDgdXnxurxkesxJHHp6avBIIkKlv5KKQAUV/raP7U3bCcaDna5bmlnK6MLRex8Fo211Lyixp7pQHRnuDMaXjNfkHyIiIjalxMlCqRRs3AhNTZCbC6NGgfMwnF9/nu12tm4sBk8+Cdu3w5AhcMEFsGmzOfPbirUBhgwz2Lg5Tn1TDF9mjOKyIMF4iI3bwjT546SlxykekMCBAQ7zHkQepwevy0tOWg5el7fD5CJlwLbtEAhAVhYMHmwu374NNm4yfx81EsoHw84de5cNGwbV1VBXZ+7TiBGQnZMiu6iZNVvqWLmlhobYbnY27MafrCHp240zu4baUA114boDHiOnw0mhZxB5jqEUOIdRljGUEu8wjh09nAlH5OHsZIRVyoAdO/buy6BBsGvX3udlA+Gjj2HdOqiugpJSGDsWjj3WXP/jj6CmFpIJSE+HxkYoKoIRI83XN28GDEjPgNwcc5ukzEa+YwcMGrz3/dLTobKy7fHJyTa3EwztPdad7Yvd7H9se1PsYPa8TiqbRJ4vz+pQ+q2OvvtERET2pcTJIsuWwRNPwJo1EImAzwdHHgkXXQRTpliz3aVLDR7/S5JP1yaIxBJ4fQlGjYmTSCb410sJ/ME4SWI4vGF+PCfE4CER7r4aLv7FezSHk3i8KTwe8HggN8uNEw/+JjfxqA+fJ5vhwzycfZaDsWMObl/WroOXX4atWyAagzSveULT7IfNmw0C0RCGtxlPVhPOjCbizmbiziaS7iaS3ibwNWCk14GvAbbVQ1ojOJPt38gJxIB98iVHPBP8ZRjNZeAvwxEoIy1aRlZqMK5gOcFmL/Vh2Lhnjoc0L7yQB5Mnw4Xfp90+7r8v8TjEouBNM4+XvxmqqiEcguQ+IbpckJcHHi8E/BAOQzIFGOBwgstpJrYtiXEyBQ7M7aZ5ITsT5t4Ed94J/oC5POCH6t1mDEYKHA5z/fR085GXZz6GDYezzmq/L3bT0eekN8SeMlLUBGsAGF04mrLsMosj6r86+9688EKrIxMRETuxReL0hz/8gd/+9rdUVlYyfvx45s6dywknnNBp+UWLFjF79mxWr15NWVkZ119/PZdddlkPRvz5LFsGd9wBtbVQXg6ZmRAMwpIlsG0b/OIXny15WrYMbr8jRU1dkkHlSQZmpgiEEny4Isn6XyeZ/f+SjJuQJJlKkkglSKQSrUPnVq6J8difYzQ2JygalCQzPUkokmDex0lq64B08OaAEyexiJtUwk1llTmErr4yl7o6L1mZLsYdaZ68Ln/HjGnceCgfBKGwwZq1UXZWR/jmBRHKh5oTP0QSEcIJc5a8YDxIOB4mGA+yozrE0k9ChBNB3KMCpDwBwknzYQwMwPhgx0nQwYjkQKgIgiUQLIZgKYSKW597YwNwJXKJRByQMhMUgLgDave8pcu1J4HZIxqDpmZ4/32zXq+dvfekfe06+OOjZg9RSQlEo/DpGggGIDMLCgtg6zZIxNuHmkyavUKt77nPLhspSOwTQ0silTLMnpeIa2+vS0Wl+Z90l9tMvlJJs5zDYa4Ti5uPeBxwQF4+rF0DVZVwyaX2TUD2P7bp6eb+2T32QCxAXbiOAm8BTTQxPH+41SH1Wwf6Pq6oMHvXRUREwAaJ03PPPcc111zDH/7wB774xS/y8MMPM2vWLD799FOGDBnSrvyWLVs488wzufTSS/nrX//Ku+++y+WXX05xcTHf+MY3LNiDQ5NKmf/ZrK01/6PpcECSKL7cGCNzUqxbn+LhJ1PcPioFjhQpw3zsm+zEU+aECvFknEgiYk6uEI/x8FNRNjpjlH0hSbUjTsqRwMiM4ShOsmZ3nNv/lWJWPEHKSJLc8zAMg4SR4t8LDKrcBvlHJKlzpIAUybQk9fkpyEvgcMcx0uIkjDg4YjhcMWKeGL/Z0kTNFBcOd5wGYnzgiZFyRUiOiGE4Y3zkieJwR0kSheFm98y7HwEfHcTByj+IMkkPRHIhuucRyYVojvkIFUCkAGesAEL5pAKFEMmD1J6JJRzm8TdS5u8AGGbnk2vPZVVuj7ksmWqbtCSTe3p6XObriaSZdPh85tDCl1+G0aPNsi+/bJ7YD9tzbrxpk5m4FBebvWebNkMi0Xa3HM49ce27q8l94twT676MFOA09wnMz1qLSMgc1rdrl5kwuVxgJPdu1+EAw4B4wuwJq9kNEyfC1q3wyivmvtht6FvKaHtsW/Y7MwuGZZo9UHaLPZFKsDu4G5fTxbjicZRnlvPGqjc0g55FOvo+BsjJMZ9v2rS3nIiIiOWJ0913383FF1/MJZdcAsDcuXOZP38+Dz74IHPmzGlX/qGHHmLIkCHMnTsXgCOPPJLFixdz1113dZo4RaNRotG9U0I3NzcDEI/Hicc7+Dd/N9q40XwMG2YO0XqmYBJBZyUGZrKSGmDwESn+NNccj5UyUhiGQYqD+MudDUyC9R29lg9bgXfe6mTddGA47Nx/+TTzhwHse6QMIAl80AQM2Lt8v/P//c/tAXCkvGR6fWR4ffjc5iPDk0GmJ5MMTwapaDprV2aQ7s4gw5OBx8gmGc5i+4YsYv4sXMksiGWRk55Fc52PRMKBw2GeSBt7eogMY28ALT1GRgrwAnuO5b6XVO2fpICZXLSUSSXbnzzt+7qRMt8/w2c+37wBdmwzf6/YCYPKwOuGQBDiMcjPNXt/EnGIhMHtanuwWvehgwPYZn86eM0B+PYkQo49+5rmTZFMQNqe++g6AGeaWSaZ3JsopgzISDdjjMXMuHftMPel5foyu9ixo+2x3Z/dYm+KNOGP+inNLmVk/kgK0gtav396+ntITPt/H+9vyBCzXjZsiDPGhj2XgtqQzal+7E31s9fBHgOHYRgdndv2iFgsRkZGBn/7298499xzW5dfffXVLF++nEWLFrVb58QTT2TKlCncc889rcvmzZvHt771LUKhEJ4O/vrddttt3H777e2WP/3002RkZBymvflsLlp1EU2JpsOyLSdOXA4XToez9XeXw9Xm9/2fux3uNq+5He5OHy6HC4/DnNTB4zAfbqcbr8Pbutzr8OJ1mg+Pw2P+vmeZz+nD6/TicvTsLHkiIiIiIp0JhUKcf/75NDU1kZOT02k5S3ucamtrSSaTlJaWtlleWlpKVVVVh+tUVVV1WD6RSFBbW8vAgQPbrXPTTTcxe/bs1ufNzc0MHjyYmTNnHvDgdIeNG+GnP4X8fHM4yCzXIkKOGnCY46wiQQf+gJOfXO5iSLkTh8OxNxly7EmMnHsTJJfDhcvpYvt2J3feac6mlpnV/n2DAfManJtvhmFD2762dRsdrrtlC3y0xByS5nCA12v2Qjgwn3s8SR77/adce+s40tNdJJIQ2jNTd0bmnqFfcfjCFyA7u+s4DhSP3w+LPzZ7bFwuc9u5udDQYL6Hw2H2CHXZ47SPLnuc3HuHeCVTZq9TZ6+nDPP9CwvM5+WD4Ve/Mn/fd18Cfli23DyWbpe5X7Utk1Icrh4nx96hd1mZSR7+7adcdv04PB4XdfV7yjnM2A3MWfpce74JUikoLDSP8ZQvmOW6qi+rdPa5bXEwn7WelJ+eT5a3baDxeJwFCxZw+umnd/hPH+le+38f7y8UivO1ry1g5MjTGTNG9WNHakP2pvqxN9XPXi2j0bpi+VA9oN34/pb7+RxK+Y6Wt0hLSyOtZYzSPjweT49/UMaMMae5XbLEHEOfk5hMy99rw4A1a+HYafCdLx7a1OQjCuHFwXu3u++hMAzYshGmTYMvTWm/3WEFHa87ZgB83ADhqDmMxZ0JsdDea2K83jjwKYn6YSQzPDQ3mdfRANRsN3+WlECxFxyxruM4UDw+L+Q5ob7GTN6ys/cMO2uCiN884W+J2zD2JlJmgmf+3u46Ikfbci3rArjdEE2ZP1uGs3U0VK8liUskzPeJJs11jjnN3Edouy8+L2QloXaHmfhFGyDVZO7Tvn2/TmfH11XsX6/7a/k4JxLmNrKLzTqK1w0jp9BDrMbcrtvd/ngYxp7kOGVef1XogbVru64vq3T2uYWD/6zZhRXfRdL++3j/z9D2Pd9jRxyh+rE7tSF7U/3Ym+qHg95/S08nioqKcLlc7XqXdu/e3a5XqcWAAQM6LO92uyksLOy2WA8Xp9OcGryoyJz6trnZPIFtbjafFxXB979/6Cd6n2e7na0bDEJpqfl6Mmme3Hs8exOFlpMMr9ecfcrlgpEjzfsTxffM0FZWZq57KPvXUTzJpLldt3tvb0o0ChkZe+NwOs1kpCUZ2nd7LUnGvlN3G0b75MTh2DstN5j73DIphHuffzO43ea68fjeY+H1mr+PHm3G3/Je++6L328eI5fLPGYeD4wf3/76io6SppYkruXR0XFr2a99n4M5U1hlpZlwut3mPu2bJLb87vWaCemgQWbS9Fk/jz2hu9qS9B9dfYZa/qToMyQiImBxj5PX62Xq1KksWLCgzTVOCxYs4JxzzulwnenTp/PSSy+1Wfb6668zbdq0XpMtT5liTjnect+QigpzNrZp08wTvc96H6fPs93O1v36180TiWefNaezTqXMk4i0NPOCajBPsrOzzfINDebPL3/ZPBmvqzOHwxzq/nUWz1lnQX09fPqp+V5gnvS0DCNsuQdLyzV+Lb1FPh8MHGjG3txszsQWiZhlHA4zkcnPh29/24z53XfN9SIRcxsul5l85OWZz5uazMSyJcHx+aCgAGbMgOuua7uP++9LJGJOVtASq9dr/ue75Qau+/YEud1m74/Xa8YcDO5NepzOvb1erfdx2tMb2NIj1zL8aNgwMz6fz9zOzp3m8UqlzG2lpZn7l5lpHk/D+Pyfx57QXW1J+o8DfYa+9z2zrYiIiIANhurNnj2bCy+8kGnTpjF9+nQeeeQRtm/f3npfpptuuoldu3bxl7/8BYDLLruM+++/n9mzZ3PppZfy/vvv89hjj/HMM89YuRuHbMoU82ap+9+p/vP+Z/PzbPdA6/7ud/Dkk+bQlSFDzHubbNkC69fDQw/BEUfA5s1t14PPt3+dxQPm+65aZf4+YYK5fOPGvcvGjjUTkaoqMzkYN8787/GIEXvLxePmdMOxGAwdat7s0us1y7dsv6W3zO02e89OPdXc/htvmCdYiYSZnLhcZhyjR3e8jx3ty4gRbY/ZsGHmdpctM2MvL4ejjoLTT2//npmZ5hTKAweaPVZgJpOGAVlZZpKUm2vGv3Fj+zrKzDTvGbbv8cnfM/2733/4Po89obvakvQfnX2GkkklTiIispflidO3v/1t6urquOOOO6isrGTChAm8+uqrDB1qXs1dWVnJ9paB5sDw4cN59dVXufbaa3nggQcoKyvj3nvv7RX3cNqf07n3Xj922W5n63q9cPHFbZeNGmUmGKNGmYlFR+t93v3rLJ6xY83HgZZNmNDxNjtad//37KrMGWd0/tqBtrv/vuz/fNYs8/FZ3nPcuPbL4nHzZLCjOuqofG/VXW1J+o+OPkP73rtNRETE8sQJ4PLLL+fyyy/v8LXHH3+83bKTTjqJpUuXdnNUIiIiIiIiJg1mERERERER6YISJxERERERkS4ocRIREREREemCEicREREREZEuKHESERERERHpghInERERERGRLihxEhERERER6YISJxERERERkS4ocRIREREREemCEicREREREZEuKHESERERERHpghInERERERGRLritDsAKhmEA0NzcbHEkvVs8HicUCtHc3IzH47E6HOmA6sjeVD/2pvqxP9WRval+7E31s1dLTtCSI3SmXyZOfr8fgMGDB1sciYiIiIiI2IHf7yc3N7fT1x1GV6lVH5RKpaioqCA7OxuHw2F1OL1Wc3MzgwcPZseOHeTk5FgdjnRAdWRvqh97U/3Yn+rI3lQ/9qb62cswDPx+P2VlZTidnV/J1C97nJxOJ+Xl5VaH0Wfk5OT0+wZnd6oje1P92Jvqx/5UR/am+rE31Y/pQD1NLTQ5hIiIiIiISBeUOImIiIiIiHRBiZN8Zmlpadx6662kpaVZHYp0QnVkb6ofe1P92J/qyN5UP/am+jl0/XJyCBERERERkUOhHicREREREZEuKHESERERERHpghInERERERGRLihxEhERERER6YISJxERERERkS4ocZJOvf3225x99tmUlZXhcDj417/+1eU6ixYtYurUqfh8PkaMGMFDDz3U/YH2U4daPwsXLsThcLR7rF27tmcC7mfmzJnD0UcfTXZ2NiUlJXzta19j3bp1Xa6nNtQzPkv9qA31rAcffJBJkyaRk5NDTk4O06dP57XXXjvgOmo/PedQ60ftx1pz5szB4XBwzTXXHLCc2tCBKXGSTgWDQSZPnsz9999/UOW3bNnCmWeeyQknnMCyZcu4+eabueqqq/jHP/7RzZH2T4daPy3WrVtHZWVl6+OII47opgj7t0WLFnHFFVfwwQcfsGDBAhKJBDNnziQYDHa6jtpQz/ks9dNCbahnlJeX85vf/IbFixezePFiTjnlFM455xxWr17dYXm1n551qPXTQu2n53388cc88sgjTJo06YDl1IYOgiFyEABj3rx5Byxz/fXXG2PHjm2z7Ec/+pFx3HHHdWNkYhgHVz9vvfWWARgNDQ09EpO0tXv3bgMwFi1a1GkZtSHrHEz9qA1ZLz8/3/jjH//Y4WtqP9Y7UP2o/VjD7/cbRxxxhLFgwQLjpJNOMq6++upOy6oNdU09TnLYvP/++8ycObPNsjPOOIPFixcTj8ctikr2N2XKFAYOHMipp57KW2+9ZXU4/UZTUxMABQUFnZZRG7LOwdRPC7WhnpdMJnn22WcJBoNMnz69wzJqP9Y5mPppofbTs6644gq+8pWvcNppp3VZVm2oa26rA5C+o6qqitLS0jbLSktLSSQS1NbWMnDgQIsiE4CBAwfyyCOPMHXqVKLRKE8++SSnnnoqCxcu5MQTT7Q6vD7NMAxmz57NjBkzmDBhQqfl1IascbD1ozbU81auXMn06dOJRCJkZWUxb948xo0b12FZtZ+edyj1o/bT85599lmWLl3Kxx9/fFDl1Ya6psRJDiuHw9HmuWEYHS6XnjdmzBjGjBnT+nz69Ons2LGDu+66S3+0utlPfvITPvnkE955550uy6oN9byDrR+1oZ43ZswYli9fTmNjI//4xz+46KKLWLRoUacn52o/PetQ6kftp2ft2LGDq6++mtdffx2fz3fQ66kNHZiG6slhM2DAAKqqqtos2717N263m8LCQouikgM57rjj2LBhg9Vh9GlXXnklL774Im+99Rbl5eUHLKs21PMOpX46ojbUvbxeL6NGjWLatGnMmTOHyZMnc88993RYVu2n5x1K/XRE7af7LFmyhN27dzN16lTcbjdut5tFixZx77334na7SSaT7dZRG+qaepzksJk+fTovvfRSm2Wvv/4606ZNw+PxWBSVHMiyZcvU9d5NDMPgyiuvZN68eSxcuJDhw4d3uY7aUM/5LPXTEbWhnmUYBtFotMPX1H6sd6D66YjaT/c59dRTWblyZZtlP/jBDxg7diw33HADLper3TpqQwfBqlkpxP78fr+xbNkyY9myZQZg3H333cayZcuMbdu2GYZhGDfeeKNx4YUXtpbfvHmzkZGRYVx77bXGp59+ajz22GOGx+Mx/v73v1u1C33aodbP73//e2PevHnG+vXrjVWrVhk33nijARj/+Mc/rNqFPu3HP/6xkZubayxcuNCorKxsfYRCodYyakPW+Sz1ozbUs2666Sbj7bffNrZs2WJ88sknxs0332w4nU7j9ddfNwxD7cdqh1o/aj/W239WPbWhQ6fESTrVMnXo/o+LLrrIMAzDuOiii4yTTjqpzToLFy40pkyZYni9XmPYsGHGgw8+2POB9xOHWj//8z//Y4wcOdLw+XxGfn6+MWPGDOOVV16xJvh+oKO6AYw///nPrWXUhqzzWepHbahn/fCHPzSGDh1qeL1eo7i42Dj11FNbT8oNQ+3HaodaP2o/1ts/cVIbOnQOw9hz1ZeIiIiIiIh0SJNDiIiIiIiIdEGJk4iIiIiISBeUOImIiIiIiHRBiZOIiIiIiEgXlDiJiIiIiIh0QYmTiIiIiIhIF5Q4iYiIiIiIdEGJk4iIiIiISBeUOImIiIiIiHRBiZOIiMjnUFdXR0lJCVu3bj2k9X70ox9x/vnnH/ayn8V5553H3Xff3W3bFxHpC5Q4iYhIn7Fz505+/OMfM2rUKHw+H6WlpcycOZOVK1cCYBgGeXl53Hfffe3WvfLKKznqqKMAmDRpErfeemuH73HnnXeSn59PTU0NAHPmzOHss89m2LBhhxTrnDlzePTRRw+57DXXXMPXvva1Q3qvrvziF7/g17/+Nc3NzYd1uyIifYkSJxER6RO2bt3KlClTqK2t5cknn2Tt2rX8/e9/Z9y4caSlpQGwadMmmpqamDZtWrv1Fy9ezNSpUwEzcWpJtvZVVVXFnDlzuP322ykuLiYcDvPYY49xySWXHHK8BQUFZGZmHnLZjz/+mGOOOeaQ3+9AJk2axLBhw3jqqacO63ZFRPoSJU4iIv3IM888g8/nY9euXa3LLrnkEiZNmkRTU9NheY8vfelLXHnllVxzzTXk5+dTWlrKI488QjAY5Ac/+AHZ2dmMHDmS1157rc16//d//8eMGTPIy8ujsLCQs846i02bNgFQU1PDgAEDuPPOO1vLf/jhh3i9Xl5//XUA7rvvPjIzM3nuueeYPn06w4YN44QTTmDu3LmMHj0agCVLluB2u/nCF77Q5r0TiQQrVqxoTZwmTpzIqlWr2u3bzTffzNChQ7n88ssBeO2113C73UyfPr21TElJCX/84x/brPfxxx+TlpbWuj9bt27F4XCwbds2UqkUd955J0cccURrL9mFF17Yuu6+Zb1eL++99x633HILDoeDY489tsv6qK6uxuFwcM899zBlyhR8Ph/jx4/nnXfeaVPuq1/9Ks8880yX2xMR6a+UOImI9CPf+c53GDNmDHPmzAHg9ttvZ/78+bz22mvk5ua2KXvnnXeSlZV1wMd//vOfDt/niSeeoKioiI8++ogrr7ySH//4x3zzm9/k+OOPZ+nSpZxxxhlceOGFhEKh1nWCwSCzZ8/m448/5o033sDpdHLuueeSSqUoLi7mT3/6E7fddhuLFy8mEAjwve99j8svv5yZM2cC0NDQQCQSYfv27Z3u/5IlSxg3bhzp6eltlq9evZpwONwmcdq0aRPhcLi1zLJly3jiiSe49957cbvdALz99tvteq8mTJjA6tWr2yy76aab+O///m9GjhwJwPLly8nLy2Po0KHMmTOHp59+mkceeYR169bxz3/+ky996Uut67aUHTx4cGuys3z5ciorK5k/f36n+7pv3AB/+MMf+P3vf8+KFSsYNmwYF1xwAalUqrXcMcccw0cffUQ0Gu1ymyIi/ZIhIiL9yksvvWSkpaUZv/71r438/Hxj1apVHZarq6szNmzYcMBHKBRqt95JJ51kzJgxo/V5IpEwMjMzjQsvvLB1WWVlpQEY77//fqdx7t692wCMlStXti67/PLLjdGjRxsXXHCBMWHCBCMcDre+tmTJEmPIkCGGw+Ewpk6datxwww3G6tWr22zzlFNOMX74wx+2e68//vGPhsfjMSKRiGEYhrF9+3YDMJYsWdJa5sQTTzS+8Y1vtFnvnHPOabe9q666ypg5c2br8/nz5xtZWVlGdXV167LbbrvNOOmkkwzDMIwTTjjBuP766zs9DvuWnTdvnlFYWNhp2Y785je/MTwej7F58+bWZYsXLzYAY/v27a3LVqxYYQDG1q1bD2n7IiL9hXqcRET6mbPOOotx48Zx++23M2/ePMaPH99huYKCAkaNGnXAx/49Ny0mTZrU+rvL5aKwsJCJEye2ListLQVg9+7drcs2bdrE+eefz4gRI8jJyWH48OEAbXqQ7rrrLhKJBM8//zxPPfUUPp+v9bWjjjqKzZs389Zbb/HlL3+Zf/7zn0yePJl58+a1llm6dGmn1zeNHz++9VqowYMHk5eX13qd09///nc+/vhjfve737VZLxwOt4kB2vY4GYbBzTffzE9/+lNKSkpayyxfvpzJkycD5hC5u+66i5kzZ/LQQw9RX1/fZnv7ll22bFnr7wdr+fLlfP3rX289nkDrfu6rpS737QUUEZG9lDiJiPQz8+fPZ+3atSSTydYEpiOfZ6iex+Np89zhcLRZ5nA4ANoMFTv77LOpq6vj0Ucf5cMPP+TDDz8EIBaLtZbZvHkzFRUVpFIptm3b1u59XS4XJ510Er/61a9YvXo1JSUlPP300wDs2LGDxsZGjjzyyHbr/fvf/+b4449vs6zlOqdoNMr111/P9ddfz9ChQ9uUKSoqoqGhod16u3btorm5meeff56dO3cye/bsNmVWrFjRep3Vddddx5o1azjttNO47777GDVqFFu2bOmw7L5J1MFavnx5u2u6li5dSlFREYMGDWpd1pKwFRcXH9L2RUT6C7fVAYiISM9ZunQp3/zmN3n44Yd59tln+fnPf87f/va3DstedtllfOtb3zrg9vY98f486urqWLNmDQ8//DAnnHACQLvJC2KxGBdccAHf/va3GTt2LBdffDErV67sNPlLpVJEo9HWRCAejwPte1QWLFjAxo0beeyxx9osb0mc7r77bpLJJDfccEO795gyZQp//etf2yybMGECDoeDFStW8POf/5xbb72VrKys1tebm5vZunVrmwRo9OjRXH/99Vx99dXk5uby6aefMnz48HZlV65cybnnntv5gdxPOBxmw4YNJJPJNsflnnvu4aKLLsLp3Pv/01WrVlFeXk5RUdFBb19EpD9R4iQi0k9s3bqVr3zlK9x4441ceOGFjBs3jqOPPpolS5a0Toqwr4KCAgoKCnoktvz8fAoLC3nkkUcYOHAg27dv58Ybb2xT5pZbbqGpqYl7772XrKwsXnvtNS6++GJefvnl1v055ZRTKC0tZfPmzdx5550YhtHa2zN8+HDGjh3LTTfdhNfrpbi4mA8//JBbbrmF733ve5x44olt3m/ixIk8//zzvPvuu/zpT3/qcFjiGWecwU033URDQwP5+fkAZGVlMXToUK6//noALr300jbrrFixApfLxfjx4/nf//1fSktLOfroo3G5XPzxj38kPz+/tfdr37JgJj2ffPIJFRUVZGZmtpvQY38rV67E4XDw17/+lVNOOYW8vDx+8Ytf0NjYyM9+9rM2Zf/zn/+0TrQhIiLtaaieiEg/UF9fz6xZs/jqV7/KzTffDMDUqVM5++yzueWWWyyODpxOJ88++yxLlixhwoQJXHvttfz2t79tfX3hwoXMnTuXJ598kpycHJxOJ08++STvvPMODz74IEcddRQvv/wyZ511FkceeSSXXXYZY8eOZcWKFYwaNQowhwe+8sorjBw5ku985zuceOKJPPzww/zqV7/i8ccfbxfTxIkTqa2tZdq0aZx33nkdxj1x4kSmTZvG888/3275Bx98wK9//evWGfharFixgrFjx5KWlkYkEuHOO+9k6tSpzJgxgw0bNvDmm2+2JmH7lgX41a9+xXPPPcegQYO44447Wrf5+OOPtw5/3Nfy5csZO3YsP/vZzzjvvPOYNm0aTqeT999/n7y8vNZykUiEefPmtUvyRERkL4dhGIbVQYiIiPRWr776Ktdddx2rVq1qM/StJ912220sXLiQhQsXtll+xRVX0NDQ0HqdV2ceeOABXnjhhdZ7YomISHsaqiciIvI5nHnmmWzYsIFdu3YxePBgS2KYP38+99xzT7vly5cv5+yzz+5yfY/Hw3333dcdoYmI9BnqcRIREcv8+9//ZuXKlVx77bUHfP2cc85h9erVB5UEiMkwDHJzc3n22Wc588wzrQ5HRKTXU+IkIiK298ADDxAKhfjpT39qdSgiItJPaXIIERHpVh988EGbnqKXXnqJH/7whwDMmjWLNWvWAPDwww9z1FFHMWHCBM4///zW1xctWsTPfvYzHn30UaZMmUI4HO75nRARkX5PPU4iItKtmpubmTZtGuvXrwdg+vTpPPXUU4wYMYJRo0axdu1a/H4/p512Gh999BEul4vGxkby8vJaXz/55JN5+umnLbuGSERERD1OIiLSrXJycohGo8TjcV566SXGjx/PiBEjaGpqIisrC7fbjdvtpq6ujhtuuIHVq1eTl5fX5vWdO3cqaRIREUspcRIRkW53xBFHsHHjRubMmdN649VVq1a13tg1OzublStXMnnyZM477zxefvnl1td37tzJoEGDrAxfREREiZOIiHS/cePGcddddzFx4kSGDRsGmInThAkTANiwYQPZ2dlceOGFnHDCCUSj0dbXt2zZQllZmYXRi4iIKHESEZEecOSRR/LXv/6VW265pXXZ6tWrWxOnX/7yl4wZM4YpU6bg8/k499xzW1+fMGECGzZsYOLEiaxdu9aqXRARkX5Ok0OIiIiIiIh0QT1OIiIiIiIiXVDiJCIiIiIi0gUlTiIiIiIiIl1Q4iQiIiIiItIFJU4iIiIiIiJdUOIkIiIiIiLSBSVOIiIiIiIiXVDiJCIiIiIi0gUlTiIiIiIiIl1Q4iQiIiIiItIFJU4iIiIiIiJd+P85dyxMAgfahwAAAABJRU5ErkJggg==", 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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": "markdown", "id": "e66de4c4", "metadata": {}, "source": [ "#to chech the CI of the parameters" ] }, { "cell_type": "code", "execution_count": 1, "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": { 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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", "# --- 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 ---\n", "logr = LogisticRegression(penalty=None, solver='lbfgs')\n", "logr.fit(X, flags)\n", "\n", "# --- Print diagnostics ---\n", "print(\"Intercept (w0):\", logr.intercept_[0])\n", "print(\"Coefficient (w1):\", logr.coef_[0][0])\n", "\n", "# Design matrix and predicted probabilities\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", "# --- Plotting ---\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", "# 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", "# 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" ] } ], "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 }