{ "cells": [ { "cell_type": "code", "execution_count": 64, "metadata": { "collapsed": false }, "outputs": [], "source": [ "n=10\n", "d=3\n", "pts=[[QQ(random()) for i in range(d)] for ii in range(n)]" ] }, { "cell_type": "code", "execution_count": 65, "metadata": { "collapsed": false, "scrolled": false }, "outputs": [ { "data": { "text/html": [ "\n", "\n" ], "text/plain": [ "Graphics3d Object" ] }, "execution_count": 65, "metadata": {}, "output_type": "execute_result" } ], "source": [ "points(pts,size=60)" ] }, { "cell_type": "code", "execution_count": 66, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "A 3-dimensional polyhedron in QQ^3 defined as the convex hull of 9 vertices\n" ] }, { "data": { "text/html": [ "\n", "\n" ], "text/plain": [ "Graphics3d Object" ] }, "execution_count": 66, "metadata": {}, "output_type": "execute_result" } ], "source": [ "P=Polyhedron(pts)\n", "print P\n", "P.plot()" ] }, { "cell_type": "code", "execution_count": 67, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "(A vertex at (-1, -1, -1), A vertex at (-1, -1, 1), A vertex at (-1, 1, -1), A vertex at (-1, 1, 1), A vertex at (1, -1, -1), A vertex at (1, -1, 1), A vertex at (1, 1, -1), A vertex at (1, 1, 1))\n" ] } ], "source": [ "C=polytopes.cube()\n", "C.plot()\n", "print C.vertices()" ] }, { "cell_type": "code", "execution_count": 69, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "(An inequality (0, 0, -1) x + 1 >= 0, An inequality (0, -1, 0) x + 1 >= 0, An inequality (-1, 0, 0) x + 1 >= 0, An inequality (1, 0, 0) x + 1 >= 0, An inequality (0, 0, 1) x + 1 >= 0, An inequality (0, 1, 0) x + 1 >= 0)\n", "[[1, 0, 0, -1], [1, 0, -1, 0], [1, -1, 0, 0], [1, 1, 0, 0], [1, 0, 0, 1], [1, 0, 1, 0]]\n" ] } ], "source": [ "hyperplanes=[list(h) for h in C.Hrepresentation()]\n", "print C.Hrepresentation()\n", "print hyperplanes" ] }, { "cell_type": "code", "execution_count": 59, "metadata": { "collapsed": true }, "outputs": [], "source": [ "c=Polyhedron(ieqs=hyperplanes)" ] }, { "cell_type": "code", "execution_count": 60, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "True" ] }, "execution_count": 60, "metadata": {}, "output_type": "execute_result" } ], "source": [ "c==C" ] }, { "cell_type": "code", "execution_count": 70, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "A 2-dimensional polyhedron in QQ^3 defined as the convex hull of 1 vertex and 2 lines\n" ] }, { "data": { "text/html": [ "\n", "\n" ], "text/plain": [ "Graphics3d Object" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "H=Polyhedron(ieqs=[[0,1,1,1],[0,-1,-1,-1]])\n", "print H\n", "H.show()" ] }, { "cell_type": "code", "execution_count": 67, "metadata": { "collapsed": true }, "outputs": [], "source": [ "cut=Polyhedron(ieqs=hyperplanes+[[0,1,1,1],[0,-1,-1,-1]])" ] }, { "cell_type": "code", "execution_count": 69, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "A 2-dimensional polyhedron in QQ^3 defined as the convex hull of 6 vertices\n" ] }, { "data": { "text/html": [ "\n", "\n" ], "text/plain": [ "Graphics3d Object" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "print cut\n", "cut.show()" ] }, { "cell_type": "code", "execution_count": 71, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "True" ] }, "execution_count": 71, "metadata": {}, "output_type": "execute_result" } ], "source": [ "Cut=H.intersection(C)\n", "Cut==cut" ] }, { "cell_type": "code", "execution_count": 165, "metadata": { "collapsed": true }, "outputs": [], "source": [ "C4=polytopes.hypercube(4)\n", "H4=Polyhedron(ieqs=[[0,1,1,1,1],[0,-1,-1,-1,-1]])" ] }, { "cell_type": "code", "execution_count": 177, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "(A vertex at (-1, -1, -1, -1),\n", " A vertex at (-1, -1, -1, 1),\n", " A vertex at (-1, -1, 1, -1),\n", " A vertex at (-1, -1, 1, 1),\n", " A vertex at (-1, 1, -1, -1),\n", " A vertex at (-1, 1, -1, 1),\n", " A vertex at (-1, 1, 1, -1),\n", " A vertex at (-1, 1, 1, 1),\n", " A vertex at (1, -1, -1, -1),\n", " A vertex at (1, -1, -1, 1),\n", " A vertex at (1, -1, 1, -1),\n", " A vertex at (1, -1, 1, 1),\n", " A vertex at (1, 1, -1, -1),\n", " A vertex at (1, 1, -1, 1),\n", " A vertex at (1, 1, 1, -1),\n", " A vertex at (1, 1, 1, 1))" ] }, "execution_count": 177, "metadata": {}, "output_type": "execute_result" } ], "source": [ "C4.vertices()" ] }, { "cell_type": "code", "execution_count": 185, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "(1, 6, 12, 8, 1)\n" ] }, { "data": { "image/png": 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RUlGrwrh8+TLr/+OPP5a6/8ePH9kCS01NzVJr+PTpE9tJEgANHjy4VI9xiIh+\n//13wSOJMWPGlCr1lMP5GuHBAodTDIcPHxbUKujbt2+psw/evXtHtWrVYjZ++OGHUuvIzs6mevXq\nMRulWSchS6NGjQgA6erqylVAKj+vXr1iGgYOHFgmDUuWLGE23N3dS93/5cuXgmqe8u5rIcuhQ4dI\nLBYzG46OjpSWllZqOxzO1wIPFjicIsj/C3TkyJGUmZlZKhs5OTmC0st2dnZl+hV79OhRQcBSFjIz\nM9kNsk2bNmWykZuby2ZZGjduXCYb8fHxrAy3vr4+JScnl9qGt7e3YH+LoKCgUts4e/asYNOnrl27\nUkpKSqntcDhfAzxY4HDyIZFI6KeffhIECtOnT5d7d0VZli5dymyYm5tTdHR0mfS0bt26TGmHsoSH\nhzMbo0aNKpMNIqJWrVqxxwhlnb53dXVlWtasWVMmG//73/+YDQsLC4qPjy+1DT8/P0Eaa5s2bcpk\nh8P50uHBAocjQ25uLs2YMUMQKCxZsqTUz8WJiC5evMg2MdLQ0CA/P78yaZJdJ2BjY1MmLUREf/31\nF7OzbNmyMtkgIho+fDiz8++//5bJxn///cfGpkaNGnIVispPdnY29ejRQ7BvRFkCujt37pCpqSmz\n07hxY3r16lWp7XA4XzI8G4LD+f9kZWXByckJ27dvZ6/99ttvWLFiRanSGwHg1atXcHJyYql5v/zy\nC3r06FEmXWUtGJWf8mZCFNa3tBkRUho1aoQhQ4YAAGJjY3HkyJFS29DU1MTRo0dRvXp1AICvry9+\n/vnnUtuxsbHB9evXYWlpCSAvJdTOzq7M58bhfJGoO1rhcCoCHz9+FNQvEIvFdOjQoTLZ+vTpE9nY\n2DBbgwYNKvNswN27d5mdhg0blumXsxRnZ2dm6/79+2W2c+jQIWZn3bp1ZbYTEhIi2Ma5LAsuiYj8\n/f0FJb4vXbpUJjsvX75kC0ABUNWqVUtVaIvD+ZLhwQLnqycxMZE6derEbhI6Ojrk7e1dZnvTp09n\ntho0aFCmBXxSRowYwWzt2LGjzHaIiDp27MhslWfl/+3bt5mdyZMnl0uTbNXNc+fOldnOL7/8IrjJ\nv3nzpkx24uLiBOtDDAwMKCAgoMy6OJwvBR4scL5qoqOjBXUHjIyMKDAwsMz2Dh48KAg6Hjx4UGZb\nkZGR7BezmZkZpaenl9mWRCJh6Ya1a9cusx0iovfv3wsyCMrD2bNnma1u3bqV2U5ubi4NGDCA2erU\nqVOZF1+/w45dAAAgAElEQVQmJycLgpjyBo8czpcADxY4Xy0RERFUt25dQbZCeW7uDx8+FGzetG/f\nvnLpmzZtGrO1atWqctmKj48vd+qlLNWrV2dBTHnIzc2lpk2bMm2lqb6Zn8TERFboCgDNnTu3zLbS\n0tIEj6U0NTXJ09OzzPY4nM8dHixwvkru379PZmZm7GZQr149ioyMLLO99+/fC553T5kypVz64uLi\n2B4A+vr6lJSUVC57gYGBTNusWbPKZYuIqFu3bsxeeR6zEBH9+eefzNawYcPKZev27dukpaXF7JWn\nJHVmZiaNHDmS2RKJRLRt27Zy6eNwPld4NgTnqyMwMBDdu3fH27dvAQAtW7ZEcHAwGjRoUCZ7RAQX\nFxdEREQAANq2bctqOJSVLVu2IDMzEwAwdepUGBsbl8uebCZEWQpI5ac8BaXyM3bsWJbRcPr0aURG\nRpbZlq2tLTZt2sT+dnFxKbM9LS0teHp6wtXVFUDe+zxz5kysXLmSF6DifHXwYIHzVXHu3Dn069cP\nqampAIDOnTsjICAANWrUKLPNjRs3wsvLCwBgbGyMU6dOQUdHp8z2Pnz4gG3btgEAKlWqhLlz55bZ\nlhTZNMDypE0WZqO8KYba2tr4/vvvAeTdkDdu3Fgue9OnT8eoUaMAAKmpqRg2bBgyMjLKZEssFuOP\nP/7AggUL2GtLlizBjz/+yAMGzteFWuc1OBwVcuDAAUE9gP79+5e7HkBgYKDApiIWwm3cuJHZc3Z2\nLrc9IiJHR0dmMyoqqtz2zp07x+wtWrSo3PaSkpJIX1+fLSh8+/ZtueylpqZSkyZNFJa1QUS0du1a\nwWZdLi4ulJ2dXW67HM7nAA8WOF8FmzZtEnzRK6LSYGxsLFvoB4AWL15cbp2ZmZlkaWnJbD558qTc\nNomIGjZsyNY/lHXPB1n+++8/ha0zkDJ37lxmc+nSpeW29/jxY9LV1WU29+/fX26bu3btYjtPAqCh\nQ4eWafdJDudzgwcLnC8aiURCixYtEgQKbm5uZd4ASEp2drZgkV9ZtxrOz/79+5nNslZ1zM+nT59Y\nCmbbtm0VYjM7O5tV42zZsqVCbL569YrZNDU1VUgVSNlU1sqVK9PDhw/LbfPEiROCcuO9evWiDx8+\nlNsuh1OR4cEC54slJydHULAIyKuJoIhf1vPmzWM2LS0tyz1tTpSXRmhlZcXslqWSYmE8efJEMKOi\nKKTT/Do6OuUOvqQ4OTkxrVu3blWIzalTpzKbTZo0odTU1HLb9PHxEcxadOjQgRITExWglsOpmPBg\ngfNF8unTJ0HBI5FIpLCbj5eXlyD//saNGwqxK7sOoHPnzgqxSUR0+vRpZnfFihUKs/vtt98yuy9f\nvlSIzQcPHjCb9evXV8hsTUZGBrVp04bZHTFihEICxuDgYKpSpQqz27x58zJVFeVwPgd4NgTni+Pj\nx48YOHAgTp48CSCv4JCnpydmzpxZbtsRERFwdnZmf2/cuBGdOnUqt11AWDBq/vz5CrEJKK6AVH4U\nmREhpVWrVujbty8A4Pnz5yzLpDzo6Ojg5MmTMDIyAgCcOHGCZZuUB2kmjbm5OQDgyZMnsLOzw/Pn\nz8ttm8OpcKg7WuFwFElCQgK1b99e8Jz64sWLCrGdlpZG1tbWzPaoUaMU8guVKO9XqtRueYoqFcb4\n8eOZ7bCwMIXZld1M6ffff1eY3StXrjC7tra2Chtj2RLdlSpVKtdukbLk3wm0Ro0a9OjRI4XY5nAq\nCjxY4HwxvHnzhpo1a8a+tKtUqULBwcEKsS2RSAQ33WbNmil0UdugQYMUtk10fqTBk0gkKld9ifxc\nv36daZ45c6bC7EokEkExJ39/f4XZdnd3Z3Zr165NCQkJCrEbFRUlWG9ibGxMISEhCrHN4VQEeLDA\n+SL4999/qXbt2oJfd4pY+S5l586dzLaenh6Fh4crzHZ4eDizbWFhQZmZmQqzLZFIyMjIiABQ3bp1\nFWaXiOjt27eCbBBF4unpyWx/8803CrOblZVFXbp0EdhW1CxOQkIC2draCj4nV65cUYhtDkfd8GCB\n89lz9+5dqlatGvuSbtCgAT1//lxh9u/cuSOoN3Ds2DGF2SYicnFxYbbXr1+vUNuxsbHMdr9+/RRq\nW7aSZa1atRRqOysrS1AU6vHjxwqzHRUVJfi8rF69WmG2U1NTyd7entnW0tIqV30KDqeiwIMFzmeN\nn58fGRgYsC/nVq1aUWxsrMLs569k+P333yvMNlHeoxNpzr6RkZFC0vpk8ff3Z9pnz56tUNtERB07\ndmT2P378qFDbv/32G7OtqJ0spVy5coVtrqShoUF+fn4Ks52RkUGDBw9m2jU0NGjPnj0Ks8/hqAOe\nDcH5bDlz5gwcHBzw4cMHAEDXrl3h7+/PihKVF4lEgrFjx+LVq1cAgE6dOmHdunUKsS1l8+bNyM7O\nBgDMmDEDBgYGCrWvrEwIKY0bN2b/lxbSUhSTJk1iBbQ8PT0RHR2tMNu9e/fG0qVLAeS9z6NGjUJs\nbKxCbEuzLyZMmMDsT5o0qdw1LzgcdcKDBc5nyb59+/Ddd9+xyowDBgzApUuXUKVKFYX5WL16NS5e\nvAgAqFq1Kk6cOAEtLS2F2U9JScHOnTsB5BVTmj17tsJsS5FNaVREtcn8KLL6ZH709fUxffp0AEB2\ndjY2b96sUPuLFy9maZrx8fEYPXo0cnJyFGJbU1MTe/fuFbyn7u7uWLx4MS9Axfk8UffUBodTWtat\nWyfYlXHcuHHlrvOQn8uXLwumqX19fRVqn4ho9erV7BxcXV0Vbp+IqH///sxHTEyMwu2fOnVKKRs+\nSYmNjWXrRQwNDen9+/cKtf/27VuysLBg57BgwQKF2pdIJLRixQrB53XGjBkKTY3lcFQBDxY4nw0S\niYTmz58v+OKdM2eOwr94X79+TaampszHqlWrFGqfKO+5trm5OUtpjIiIULgPIqL69esTADIwMFDY\nfgWyPHr0iI2Tk5OTwu0TEU2ZMoX5WLduncLtBwcHs5oUAOjcuXMK9/H7778LPreKKGTG4agSHixw\nPguys7Np0qRJgi/clStXKvwGmJmZSR06dGA+BgwYoJRfgbKpmIqq2pifjIwMNjtia2urdB82NjZK\n8fH06VPmQ9GppVJky4IbGxvTixcvFO7j0KFDgnLmjo6OCimWxeGoAh4scCo8GRkZNHToUPYlKxKJ\n6I8//lCKLzc3N+anbt26lJSUpHAfOTk5rGQ0ALpz547CfRAJf/WPHTtWKT6IiOrVq6fU2Qsi4aZV\nBw4cULh9iUQi+IzZ2NgopfT02bNnSVtbm/np2rUrpaSkKNwPh6NoeLDAqdDkz1uvVKkSHT9+XCm+\nZDcC0tbWptDQUKX4kX3Ob29vrxQfREQnT54UzMIoCwcHB6WuiyAiCgoKYj5atGihlKAkJSWFGjRo\noJRdKWXx8/MjfX195qdNmzYUHx+vFF8cjqLg2RCcCsu7d+9gb2+Pa9euAQB0dXXh7e2NESNGKNzX\nkydPMGXKFPb31q1b0bZtW4X7ISJBwah58+Yp3IcUZadNSpFNn1RUQan8dOnSBZ07dwYAPH78GD4+\nPgr3YWRkhFOnTkFbWxsAsG3bNhw7dkzhfnr06AE/Pz+YmpoCAO7fv4+uXbvi9evXCvfF4SgKHixw\nKiSvX79G165dcffuXQCAiYkJrl69ylLdFMmHDx/w3XffIT09HQDg4uKCSZMmKdwPAPj7++POnTsA\ngNatWyvlfKQoO21SijLTJ2Xx8PBg/1f0fhdSWrduja1bt7K/J0+eLAi6FIWNjQ2uX78OCwsLAHnj\nZmdnp7Rgi8MpN+qe2uBw8hMeHk6WlpZsmrZmzZoK3e5XFolEQsOHDxfsAKnIYkv56devH/N15MgR\npfkhIrKxsWFrPDIyMpTmx9fXl53TDz/8oDQ/ubm51LhxY+br7t27SvGTv2hY8+bNFb47pZSXL18K\n1q9UrVpVaY+/OJzywIMFToXi9u3bgrTFRo0aKWVluhTZLYWNjIwoMjJSab4ePHggWDyZnZ2tNF8S\niYRtg12/fn2l+SHK27Jael6Ojo5K9SWbRTJy5Eil+fn48SO1aNFCsJeHshZvxsXFUatWrZgvAwMD\nCggIUIovDqes8GCBU2Hw9fUlPT09lS38CgoKEuTXnzlzRmm+iIjGjBnDfG3ZskWpvqKjo5mv/v37\nK9WXRCJh71vDhg2V6isjI4PMzMzYZlnPnj1Tmq+nT58KFiLu2rVLab6Sk5MF1TB1dHTI29tbaf44\nnNLCgwVOheDUqVOCyo7du3dX+G59ssTHx1PNmjWZv/nz5yvNFxHRixcvWI591apVlZ5ff+3aNXZu\nc+fOVaovIqI2bdoQABKLxUrZB0GWlStXsnNzc3NTqq9jx44JMmTu3bunNF9paWmCzBJNTU2lP6ri\ncOSFL3DkqJ3du3djxIgRyMrKAgAMGjQIPj4+MDQ0VIq/nJwcjBo1CjExMQDyVqevXLlSKb6kbNy4\nEbm5uQCAWbNmQVdXV6n+VJUJkd9Hbm4unj17plRf06dPh56eHgBg7969SExMVJqvkSNHws3NDQCQ\nmZmJ4cOHIyUlRSm+dHV18ffff2PkyJEA8j6nTk5O+OOPP5Tij8MpDTxY4KgNIsKaNWswdepUSCQS\nAICzszNOnToFHR0dpfn96aef4OfnBwCoUaMGjh07Bk1NTaX5S0hIwJ9//gkg74Ywc+ZMpfmSoqpM\nCCmyAYmyV/SbmJiwbJX09HRs375dqf7Wr18PW1tbAMCzZ8/g4uKitGJQWlpa8PT0hKurK4C8a2TG\njBlYtWoVL0DFUS/qndjgfK1IJBJyd3cXbN/s7u6utEVkUs6ePcv8icViun79ulL9EREtXbqU+fz+\n+++V7o9ImHURGxurdH+yG1qtWbNG6f5kH+tUq1ZNqRksRHlZC8bGxuwcN2zYoFR/EomEFixYoPLr\ng8MpCh4scFROdnY2OTs7C74I16xZo/QvwmfPnpGRkRHzuXHjRqX6I8pbVW9iYsKCk5cvXyrdJxFR\n3bp1WYaHKm4wd+/eZeM6ceJEpfsjIho1ahTzqaztv2Xx9vYWrCcICgpSus+1a9cKrpOJEycqNYuG\nwykKHixwVEpGRoZgn38NDQ2lrjKXkp6eTq1bt2Z+hw0bppKbqGy1QWVVZcxPWloaK7zUvn17lfhM\nTU1l59mlSxeV+AwNDWU+GzZsSDk5OUr3uXDhQubTwsKC3r59q3Sfu3btYu8nABo6dKhS6lZwOMXB\ngwWOykhJSaHu3buzLz0tLS06deqUSnzLVqxs3LixUjMtpGRlZVGdOnWY37CwMKX7JBLu5zB+/HiV\n+CQill1StWpVlfns1asXO9fTp08r3V92djb16NGD+ezTp49KgpQTJ05QpUqVmN/evXvThw8flO6X\nw5HCgwWOSoiPj2fpdQBIX1+ffH19VeL7zz//ZH51dXXp0aNHKvF7+PBhle11IMvx48eZ31WrVqnM\nb8+ePZnfxMRElfj08fFhPjt06KCS2aLY2FiqXr0687ts2TKl+yTKO1ddXV3B+apqnDkcHixwlM6L\nFy+oUaNG7EvO1NSUbt++rRLf9+7dE5QEPnz4sEr8SiQSsra2Zn79/f1V4peIaPny5Sr9tS1l2rRp\nzO+NGzdU4jP/OAcGBqrEr5+fH2loaBCQt532pUuXVOI3ODiYqlSpws63RYsWSqv0yeHIwlMnOUrl\nyZMnsLOzQ0REBADA0tISQUFBLBVNmSQnJ2PYsGHIzMwEAMyYMQNOTk5K9wsAly5dwsOHDwEA7du3\nR7du3VTiFxCmLqpij4XCfKmqIJJIJMKPP/7I/lZWgan89OjRA6tWrQKQl97o5OSEqKgopfvt3Lkz\nAgICYG5uDiCvAqednR2eP3+udN+crxx1RyucL5eQkBBBulmTJk3o1atXKvGdm5tLAwcOZL7bt2+v\n0kVhss+1Vfnrnoiobdu2bPGoKs/5/Pnz7JwXLFigMr9ZWVlUq1Yt5js8PFwlfnNzc2nAgAHMb+fO\nnSkrK0slviMiIljGCwCqUaOGyh6vcb5OeLDAUQqXLl0SPF+1sbFRycpxKatXrxY89lBVkEJEdOvW\nLcFiSlUsgJMiW6ehQYMGKvNLRBQZGcnOe8iQISr1vWHDBuZ70qRJKvObmJgoWMSqzKqb+YmKiiIr\nKyvm29jYmEJCQlTmn/N1wYMFjsI5fvy4YOW2vb09paamqsz/1atXBc+TfXx8VOabiOi7775j566K\ntFBZVFkBMj85OTmsvkfz5s1V6js1NZXtoaGlpaXS5/i3b98WfN69vLxU5jshIYFsbW2Zbz09Pbpy\n5YrK/HO+HniwwFEo27dvL5ATnpGRoTL/UVFRVK1aNeZ/+fLlKvNNRPTvv/+y869evbpKz50or3Kn\n9Nzd3d1V6puI2C9dbW1tlc6oEBHNnz9fLY9BiIi2bt3KfBsaGiq11Hl+UlNTyd7eXpCSrOpHX5wv\nHx4scBSCRCKhn3/+WbDb3OTJk1V6w8jKyqLOnTsz/w4ODpSbm6sy/0REU6ZMYf5Vse1xfmRvWqqe\n1SAiGjJkCPOvzPLRhREdHc1mNoyMjFQ6myWRSAQ7SrZu3VrpW1DLkpGRQYMHD2b+NTQ0aM+ePSrz\nz/ny4cECp9zk5ubSnDlzBIHC/PnzVb6PvayG2rVrU0JCgkr9x8bGspuVgYEBpaSkqNQ/EdGsWbNU\nnkYoi2w9gwsXLqjc/8SJE5l/VWznLUtqaio1adKE+Z8yZYpK/WdnZ9OECRME16Gya1hwvh54sMAp\nF1lZWTR27FjBF9S6detUrkN2IyItLS2V7eMgi+yN0sPDQ+X+iYj69OnDNMTHx6vc/759+5j/TZs2\nqdx/eHg481+rVi2VZSdIefToEVWuXJlpOHDggEr95+bm0uzZswXX46JFi3gBKk654cECp8ykp6cL\nUsc0NDRo7969Ktfxzz//kL6+PtOhiqJC+Xn//r1ggV10dLTKNRAR1a5dm62MV8cN4saNG+x9mDZt\nmsr9E5HgM6mqTbhkOXDgAPNfuXJllac0SiQSWrFihSBgmDlzpsofyXG+LHiwwCkTycnJ1LVrV/Zl\npK2tTX/99ZfKdXz48EGQPjZu3Di13CTXrVunltQ9WT5+/Mg0dOzYUS0aEhISmIaePXuqRUNAQADT\nYG1trZbPg+zalSZNmqh0/YQU2SJmAGjMmDEqn2nhfDnwYIFTamJjY6lVq1bsS8jAwICuXbumch0S\niYRGjx7NdLRo0YLS0tJUruPTp0+siJJIJKJ//vlH5RqI8ra2lo6Fs7OzWjQQEZmamhKQV5VRHUgk\nEurQoQMbC1VtxSxLRkaGoMrpyJEj1RK0HDx4kMRisSCdVpULLzlfDny7Z06pePHiBezs7BAWFgYA\nqFatGvz9/dGzZ0+Va9m2bRuOHj0KADAwMMDp06ehq6urch2enp6IiYkBAAwaNAhNmzZVuQZAfds8\n50fqOzo6Gh8/flS5f5FIBA8PD/a3qraAlkVHRwenTp2CoaEhAOD48ePYvn27ynWMGzcOXl5e0NbW\nBgCcP38eDg4OeP/+vcq1cD5z1B2tcD4fHj58SDVq1BBkHPz7779q0RISEiLYCEddeeW5ubmCFfDq\n3EFv6dKlTIc6HglJcXFxYTpCQ0PVoiEnJ4caNmzIdNy7d08tOry8vJiGSpUq0a1bt9Si49q1a4J1\nPW3btlXpjqqczx8+s8CRixs3bqBbt26IjY0FADRr1gzBwcFo3LixyrW8e/cOw4cPR3Z2NgDA3d0d\nQ4cOVbkOADh37hz7Rd+1a1d07NhRLTqAijezAKiuoFR+xGIxfvjhB/a3OmYXAGDIkCFMR3Z2NkaM\nGIGkpCSV6+jZsyf8/PxgamoKALh37x66du2K169fq1wL5zNF3dEKp+Jz/vx5QTpYhw4dVL6HgZSc\nnBzq3bs309K1a1e1LdqSSCTUqVMnpsXb21stOqRIn5GLxWLKzMxUm46//vqLjcnSpUvVpiM9PZ2q\nVq3KxuTly5dq0ZF/szBHR0e1ZSaEh4eThYWFIL306dOnatHC+bzgwQKnWDw9PUlTU5N9ufTp04c+\nfPigNj1LlixhWszNzVVaAyA/gYGBgsWV6sxlz83NZYW7GjVqpDYdRMK9DkaNGqVWLcuXL2daZs+e\nrTYdb968YYELAPrll1/UpuXly5eCRzTVqlVT2+MizucDDxY4RbJlyxZBnYfhw4ertORxfry9vZkW\nsVhM/v7+atNCJMznP3jwoFq1vHr1imkZOHCgWrVkZmayQl5t2rRRq5Z3796xWTE9PT1KSkpSm5bL\nly+z60lDQ4P8/PzUpiUuLk6Q0WRoaEgBAQFq08Op+PBggVMAiUQiWCwHgFxdXVVeGEiWFy9ekLGx\nMdPz66+/qk0LUd5OfbJTuerOX798+TLT8+OPP6pVCxFRgwYN2A1a3bsHzpw5k43NqlWr1KpF9roy\nNzen2NhYtWlJTk6mLl26MD06Ojpqf5TGqbjwYIEjIDc3l9zc3CrUdrEZGRnUrl07pmfw4MFqvwGN\nHz+e6VHHtsb5kd2A588//1S3HPrmm2+YnqioKLVqefbsGZvpMDc3V3klUFlycnIEW3L36NGDsrOz\n1aYnLS2NHBwcmB5NTU06cuSI2vRwKi48WOAwMjMzBZscAaovxlMYU6dOZXoaNmyolgJNsrx69Yqt\n4zA2NlbrGg4psr+er1+/rm45NHfuXKbn6tWr6pZDI0aMYHrUUY1Tlrdv3woWGS5cuFCtejIzM2nk\nyJFMj0gkou3bt6tVE6fiwYMFDhHlbRUs+wtDLBarvAhOYezfv59pqly5MoWFhalbkuBGuHjxYnXL\nISKiXr16MU3v3r1TtxzasWMH01MRbjx37txhepo0aaL2OglBQUGCnRXVPf2fk5NDrq6ugh8KK1eu\nVPsMHqfiwIMFDiUlJQlSu3R0dOjs2bPqlkUPHjwgHR0dpmv//v3qlkSJiYmkp6fHxkkdlR0Lw9LS\nkgCQiYmJuqUQEZGfn1+FyEKQpUePHkzTmTNn1C2HNmzYwPQYGxurLbVTikQiEVROBUDu7u48YOAQ\nEQ8Wvnqio6OpRYsWFW5VdHJyMlskB4CmTp2qbklERPTzzz8zTTNmzFC3HCIiSk1NZZo6d+6sbjlE\nRBQTE8M0OTg4qFsOEeXtFyLV1KVLF3XLIYlEQkOGDGGabG1t1ZptJGXt2rWCgGHixIlqXVfBqRjw\nYOErJiIigurVq8e+FMzMzOj+/fvqlkUSiYQGDx7MdLVr106ti9KkpKenU7Vq1Vjq27Nnz9QtiYiI\n7t69y8bKxcVF3XKIKO89NDAwIABUr149dcshojxNzZs3Z2MVHBysbkmUnJxM9evXZ5rc3NzULYmI\niHbt2iVImx46dGiFCGQ46oNv9/yVEhYWBjs7O7x48QIAULduXQQFBaF169ZqVgasX78eZ86cAQAY\nGxvj1KlT0NHRUbMqYP/+/Xj37h0AYPjw4ahfv76aFeUhu6WyuopY5UckErGtwF++fIlPnz6pWVHF\nKDCVnypVquDUqVOs0NPWrVtx/PhxNasCpkyZguPHj6NSpUoAAC8vLwwcOFAthcE4FQR1Rysc1RMY\nGEhGRkbsV0OLFi0oOjpa3bKIKO9ZtzTNDQCdP39e3ZKIiCg7O1vwC1BdhYkKQ3ZXy4rwLF7KmDFj\nmK7Hjx+rWw4R5a38l2YiiEQitRVCy8+uXbvYWOnr61eYLZh9fHzYzqAAqGPHjpSYmKhuWRw1wGcW\nviAkEkmJbby9vdG3b19WorZTp04ICAhAzZo1lS2PUZTO2NhYjBo1ih1fvHgxvvnmG5Xpyo+szjNn\nzuD58+cAgD59+qBNmzbqklUA2V97LVq0UKMSIS1btmT/T0tLk+vzqWy0tLQwe/ZsAAARYdOmTYLj\n6tI4efJkjB8/HkDe+zls2DCkp6cX2laVGvv164crV66gSpUqAICbN2+ie/furKBcSVSE95yjINQd\nrXDKTmhoKLm5uVG7tm1JW1ubAJC2tja1a9uW3NzcCuz3fvDgQUG6loODA338+LFC6MzNzaWuXbsy\nbb1791b5jpHF6ezQoQPTduXKFZXqkkenWCwmSwuLQt93deHv70/16tUjs2rV5Pp8qoqUlBQyNDRk\niwpLcw0pk48fPwrWVEycOJGISn+dK4OwsDAyNzdn2urXr1/omp2KoJWjHERERCqOTzjlJDIyElOn\nTIGfvz8szKqht00rtGrUAIZ6ukhNS0dYxDP43g1D9Nt36NmjB3bt3o0LFy6wX1QAMGrUKBw4cABa\nWloVQqetrQ3u3LkLALC0tMS9e/dQrVo1pWkrvc4HiH6bgMaNGuH8hQto2LChSrSVXqfwfec6C+fI\nkSPw+PFHxMTGViiNT58+ha2tLT5+/AixWAy7Ll0QEBhYITRGRkaiT58+ePnyJQCgRo0a8PX1hZWV\n1WfxnnPKBw8WPjOOHDmCyZMno4aJMda5TcJAu47Q1BQXaJeTk4tzQTfhsXUPYhKTBAvMZsyYgS1b\ntkBDQ3lPocqi83VcPExMTeHt7Q1bW1ulaSuvztikZOzZswejR49WiUau8+vSeP78eUyYMAGp79+j\nlrlZhdIYHR2Nvn37Ijw8HADQu3dvuLi4VOjx5CgGHix8Rhw5cgRjx47F2H722D5vFvQql5whkJbx\nCdN/3YLDPlcBAD/99BOWLVsGkUhU4XTO+HULDl+6hsOHD2PMmDFK08d1fr06ucbyk5iYiAEDBuDm\nzZvo0aMHAgICKqxWjgJR5zMQzv/x7bffUu3atUlHR4dq1KhB48aNo5iYGHb8v//+o8qVK9M4h16U\nE3yBJCE+gn8OHW1IJBLRmV+XFjiWE3yBxjr0Ih0dHRo6dCiJRCLBv/79+5dKa1JSEo0ZM4YMDQ2p\nSpUqNGnSJLb2oSidOxfMph5trclQT5dEIhGl+J4uVOc4h15UuXJlioiIoD/++IOsra3J0NCQDA0N\nqa66XoAAACAASURBVFOnTnTx4kW5NK5atYo6d+5Murq6ZGxsXOB4fp1Z18+Tx9jh1LJBXdKrrEM1\nq5rS+P69KfqcZ7E6v//++wLj2axZM4WMZWE6Ey+dJLfh31KT2pakq6NNtaub0awRg+QaTylTp04l\nkUhEmzdvlltnacdTEuJDSyePpaZ1apFeZR0yNtCn3rZt6Oafm5U2nqUdS0mID00d/A01sKhBlbW1\nqZqxEQ3q1on+ObZbaWP58uVLmjRpEtWrV48qV65MDRs2pKVLl7KqpSVd58Vd6/k1Ojs7l+taL248\nJRIJXbx4sYBWea7z/Frd3d3J1taWDAwMyMzMjAYPHlxhslQ4/wfPhlAjKSkpSEtLAwDY29vj5MmT\n+O+//+Dl5YVnz55h+PDhrK3r1KmoaWqM7fNmFXh8sOmoF8QaGkXOFmhoaOCPebNQ09QEN27cQP/+\n/REfH4+4uDjExcXh6NGjgvZv3rwpVKt0dfaYMWPwzz//4OrVqzh//jwCAwPh6uparM6MzEw4dLLF\n/5xHF6tz+7xZqGFijKlTpqBWrVpYu3YtQkNDERoaCnt7ewwaNAj//PNPoVplxzM7OxsjRozA9OnT\nC/WVX2d65ieERTzDT5PG4t6BbfBa8xP+fR2FwfOWF6vz7NmzaNGihWA8g4KCih1PeceyMJ0xCYmI\nS0jChtlT8chzJ/Yvccelm3cxZfVvJY4nkJfVcfv2bVhYWBRoX5jOso4nADSpbYmtP87EI88dCNq1\nEXVqmKPfnP8h8X2qwsazPGMJADbNGmHfEnf8c2w3Lv22GkQEhzmLQPkmXBU1lk+fPgURYffu3QgP\nD8emTZuwY8cOLFq0qEiNshR3rRemsbTXurzjKRKJ8OvatQW0ynOd59e6b98+zJo1C7du3YKvry+y\ns7PRt29fZGRkFKmTo3r4YwgVk5ubCx8fHxw8eBDnzp3DrVu3BClmUs6dO4chQ4YgMzMTDx48gI2N\nDU7/sgRDenQRtAuLeI5B85bh9p7fUWPAaPy19id827VTob69/IMwbOFK9OzZE9euXStSY/369WFu\nbo5x48bB1NQUXl5eTGulSpVgZWWF0NBQlj546dIlODo64vz583BwcChUp5SAew/Ra9YCJF0+CUM9\nvWJ1hoaGom3btoJjpqamWL9+PVxcXAAAPXv2xIsXL1ClShX8+++/uH37tmA8Dxw4gLlz5yIpKYm9\nFhoaWuR4ynL3n//QcfIcvPzrACzNCi62lOps0qQJnj59WqQde3t7vHv3Du3bt8e7d+/g6+tb4lhG\nRUUhOjpaLp2nrl3H+OXr8NHvTKE3GKnOixcvYurUqbh06RK++eYbzJ07F99//z1rV79+fZiZmaFd\nu3aIjY2Fj49Pgc9necbzQ1o6qvT5Dr5b1qBnu1ZlHk/pe25kZIT//vsPt2/fVthYPop8gTYTZiLi\n5F7Uq1ldqWMpZf369dixYweOHz9erEZ5r3WpxoEDB0JTUxNeXl5Fnq+szpiYGFy6dEkhn015rnNZ\nrbLXekJCAszMzBAYGAg7OzsA/3cNTZgwAWPHjkX16gXfG45y4TMLKuLRo0fw8PCApaUlnJ2dUbVq\nVfj7+xf65ZGUlARPT0906dIFYrEY+/fvh6W5GQbadRS0y/iUCaela7DVfSbMTKqUqOFbu07Q1dHG\njRs3YG5ujqZNm2LGjBmCL34A2LVrFypVqoTZs2dj1KhRCA0NxapVq2BlZYWQkBAYGxsL9hno3bs3\nRCIRfv/990J1lpZv7TrBwqwa9u3bx16TSCQ4duwY0tPT0alTJzae4eHhSExMRGxsLLKzs7FgwQKc\nOHECmZmZRdovajzzk/LhI0QioIq+fpE6DfR08fz5c1hYWKBBgwYYO3as4FfQo0ePYGVlhVevXuHg\nwYM4f/482rRpg3/++QeBgYFFjuWtW7fk1/nxIwz1dItcsPqtXSfUrFYVU6ZMwbx589CsWbMCbR49\nesQWru3cuRNnz55F586d8ebNG+Tm5hbrXx6d2Tk52HnmAqro66FVw8J3vixpPGXf84SEBMTFxSEn\nJwcLFizA5s2bUaVKlXKNZVrGJ+z1voz6NaujViHBoVSjoscyJSUFJiYmxWoszbUuvX4iIiLg7+9f\n5LUu1fnkyRPs3LkT3t7e6NKlC968eYPg4GCFfDZLorBrPSUlBSKRCCYmJuy1kydPwtXVFSdOnEDt\n2rXh6OhY4nXOUSw8WFAiSUlJ+P3339GuXTu0b98ez549w44dOxAbG4tt27ahffv2gvYLFiyAvr4+\nqlatijdv3rAtj0Nu3ECvdtYFVhjP3bwTXaybY4BdB7n0aGqKYdO0MWpZWuLatWv49ddfERAQgG++\n+QaJiYlM68CBA1G1alWcOnUKN2/ehKOjI9asWYPatWtj3759MDIyEtgVi8UwMTHB40ePCtVZWjQ1\nxejVrhVuhoTg8ePHMDAwgLa2NqZNmwZnZ2c4OTmx8dy1axeSk5MRHx+PJ0+eoFWrVvDw8EDNmjUx\nffp0PHv2rID9osZTlsysLCz8Yx/G9OkJfd3KReps36wJateqhUuXLmHHjh148eIF7OzssG7dOva+\nx8TE4NChQ8jIyEB4eDi6d+8ODw8PzJkzBxKJBLdu3SowlnFxcXLpTEh5j1X7jmLq4KI3r9LUFMPc\n2Aipqalwc3Njr6elpQk+n2/fvsWhQ4fw6dMn3Lp1C82bN4eLiwtq164NDw8PPHnypFD7xek8H3wL\nhr2GoHL3b/H7iTO4/PsvMDEykHs8IyIi0Lp1a7Ru3VrwnqekpCA+Ph6PHz9Gq1atcOzYMbx//x7T\np09n4ynvWP7h5Q3DXkNg2GsIrtwOxaXNq4scc0WPZWRkJLZu3Ypp06YVq7E017r0+snKzMTBgwcF\n13rfvn2xefNmgc7Dhw/j06dPuHnzJqysrODi4oIffvgBAATveWk/m/Ige60DeRtlzZkzB3Z2drCy\nsmLtTE1N4ebmhtu3b+PRo0cFrnPZa4ijHHiwoES2bNmCOXPmwMDAAJGRkfDy8sKgQYOgqalZaPt5\n8+bhwYMHuHLlCsRiMcaNGwcAePzkCVo1aiBoe/Z6CPxCw7BpjmthpopkULdOeBMVhebNm+Pbb7+F\nt7c3bt++DXd390K1dujQAZs3b0ZUVBRGjx6NoKAgxMTEFLBLRIiJjS2gs6y0alQfjx4/RtOmTREW\nFoZbt27B2toaO3bsgFgsLnQ8mzRpgtWrV+Ply5dYsGAB9u7diw0bNhSwXdh4ypKTk4sRi1ZBJAK2\nebgV2Q4Avulsi6joaLRo0QJ9+vTBhQsXEB8fj3nz5hX6vstq7N69O96/f4/+/fsLbBIRRCJRiTo/\npKVjgPtPaFG/LpZOciqyXejTCERGxRSozxAYGFjk57Ndu3aC933jxo3s85if4nTat2uNBwe348au\nTejX0QYjFq1CQsr7IrXmH097e3skJeWl/hb3nnt4eMDU1BR79+4VjKc8Yzm2nz3uH9iGgD/WoVEt\nC4xYtApZ2dlKH8vo6Gj0798fI0eOxMSJE4vUWJZrvVWj+oiOicGAAQME13poaKhcOq2trZGUlFTg\nPZf3s1kapNc6kJfWHR4ejmPHjhXZvrDrPP81xPl/7F13WBPZ176EGkBAuqAgqNjWAlZ21bVgQQV1\nbauIDRULoiiuBXtdQRexN6zgqohdsaEIKHYFV7GBIiIiSEdKyJzvD77Mb25mJo0kgOZ9nvsoycy9\nZ+5k5p57ynvkD+ZVSwW5wNvbG2lpaaHDhw+jli1bouHDhyNPT0/Uq1cvxuAfY2NjZGxsjJo2bYpa\ntGiBGjVqhBISElB5eTky0NPFjr31OAmlfs5ERi7Dsc+HL16DerRvg6K3b2SUyVBfD5WXlyOCIBCH\nw0F2dnbI1NQU/fLLL2jdunU0Wa2srFBYWBgKDw9HhYWFqGfPnujx48dYn3w+H+Xl5aHKykqanLJC\nICeHwyELNp08eRJ169YNvX37lnE+09PTUXh4OAoLC0MfPnxAo0ePRlZWVmjv3r1kvwRBMM6nAAJF\nIT0rB0Vv/5vVqiAsp2A+DQ0NUcuWLZGRkRHKzMykyfnp0ydSxnfv3iFNTU0UGRlJ9ieYSzMzM5Fy\nFn8vRQPmBiCjenoo8u9lSF2dfYcXn/gClZSWIQKALAzE5/PRx48fkZGREfry5QtNzjdv3qCjR4+S\n993b2xtNnjyZZl0QN59cHW1kb90A2Vs3QJ1bN0fNR3mh0AtX0ULPURLN55w5c1BYWBjKzs4Wec93\n7tyJsrOzkaenJxnPIulc1tPTRfX0dFGThlaoS+sWyLjfCHTm9l002uV3hc2lm5sb6t27N+rWrRva\ns2ePyHmU5VkXnkeEELKzs0MmJiaoR48e6OXLlyLlzM7ORtra2tizI+l8SguBrLNmzUKXL19GcXFx\nqEGDBqzHMz3ngnuuguKgsiwoEJaWlmjx4sXo1atX6Nq1a0hHRweNGDEC2draosWLF5PEJkwQ+DZ5\nPB7S1tZGhSU4T/zi8aNR4tFd6NnRnWRDCKEtc6ejAwHzWPstKC5B2tra5Avk06dP6Nu3b6hFixak\nrBEREejdu3eoX79+qGXLluj48ePI19cXZWZmop07d6Li4mL09OlTss/o6GgEAEhLS4smp6wQlhOh\nqvm0tbVFw4YNw+bT1NQUNW7cGDVu3BhFRUWh+fPnoy9fvqAjR47QfMocDodxPhH6n6KQ+jkT3dj2\nN6pvwGwuFyVncXEx+vjxIxo+fDh539XV1ZGbmxvicrnI1tYWRUZGovnz56M7d+6gyspKkncfof/N\npbOzM6ucRSXfUf85SxBXWxudC1yJtP5/0WLDeNc+aP7YEUhTUxMlJiaixMREZGVlhRYuXIju379P\nyokQQm5ubkhHRwe1atUKxcbGosDAQPK+d+zYkda3qPlkAkEQqLyCedfONJ/6+vro+/fvaNWqVeQ9\nHz58OHnP7ezsUFRUFJo5cyZSU1NDfn5+qFevXhLPJZN8AMAqozzmMiAgAM2dOxd16tQJHThwQOw8\nyvKsMz0/nz59Qnl5eWjy5MmYnIMHDybljIuLQ4GBgeju3buIx+NhSqgs8ykJCopLEIfDQefPn0e3\nbt1CNjY2tGOKi4vRoUOHkIuLC3nPqc+54J6roDioLAtKQteuXVHXrl1RSEgIOnv2LDp06BDavHkz\nevr0Kfr+/Tt68OAB6tatG6pfvz569+4dWr58OWrWrBlydnZGv7RujRLf4r53c2MjxkCnRhZmyLaB\nBaMMJaVl6MCFq8jOzg6lpaWhd+/eoYULFyIHBwfUv39/8rhZs2YhLpeLVq9ejQAAXbhwAS1YsAAV\nFRUhX19f1L9/fzR16lS0a9cuVFFRgWbPno3GjBmDkl++pMkpQFZuHvryLQ+9/ZSBAAAlvXuP6unq\nIhsLM8ZFOfFtKqpfvz6Kj49HjRo1QkVFRSg8PBzdvn0bXbt2jZzP169foxcvXiBNTU2krq6Odu7c\niVq3bo3S09NRSkoKSktLQ3w+HyUmJiKEEGratCnjfPL5fDRiyRr07G0quhC0CvH4lSgrNw8hhJCx\nQT2kyeI6Cr1wFTW2tUVpaWkoIyMDrVixAmloaJDMdF27dkVLly5FFhYWqEOHDig7OxvdvXsXde7c\nGbVu3Zp1Li0tLRnlLP5eivrNWYLKKipQ2KqFKL+4BCFUld5oZmTIGORY36AeysrNQ+3atiX9wJqa\nmsjS0hI1a9aMlHPcuHGocePGyMnJCX3+/BnFxcWhXbt2IS0tLZSeno5yc3Mlns/vZWVo3aHjyL17\nV9TAxBjlFBSg7REX0OecXDSyT3fGuRQ3nyYmJuQ9f/nyJdLU1ERqamrkPY+Pj5dqLt9//oJO3LiN\n+nVxQmZGRig9KxttPHoC6erooIG/MjOIVncuv337hnr27IkaN26MAgMD0devX8m+mWRESLZn/VHy\nW2RkZITu37+PLC0tac/606dPUVJSErp69SqysrJCHTp0QDk5OSguLo6cT2l/mwhJ/5wjhNCes5eR\nmpoaOnbsGNLT00NZWVkIIYQMDQ3J0vRDhw5F79+/R+PHj0f79u1DdnZ2jH2poEAom9hBhf8hMzMT\nioqK4Pnz59C7d28wNTUFLpcL9vb2MGvWLJKUycfHB6zNzUBNTQ0OLfNnJDkhEq4Ah8OhEbU0bmAB\nK6d4ApFwBQpvnAFtLU3Q1dUFbW1tsLOzg6FDh8Lhw4dh69at4O/vDyNHjoRWrVqBmZkZWTSG2jw8\nPCAvLw88PDxIspYpU6ZASUkJKWdF3CWarCumjAM1NTXgcDhYox7zu2MbmDioH1TEXQJrczNo1aoV\n2NnZgY6ODlhYWEDfvn0hOjoam8M3b97Q5hMAYOLEibSxOBwO3L59m5STOjfvTx+mHSuQN2ZnEE1G\nIuEKVMRdAq62Nujp6YGOjg40atQIxowZA6mpqawyCsvJNpds9/3WjkBWOT+cOcJ43wXz6ePjQ8pg\nZ2dHIxISJsKpznyW3j4Pf/T8DRqam4KOlhZYm5nC0B6/wqND27DfZ3XnszpzmXEhHAb+2gksTeqD\ntpYm2Fiaw7gBveH1yVDWZ6i6c3no0CHW+yfq+ZHmWa+IuwRWZqZgY2MDFhYW5LM+ffp0+Pr1K2Rl\nZYGWlhbt2dbV1QV7e3vo3bs3eHt7w9KlS0kiLgMDA7HzKe1zLphP9P/lwoXPOXz4MOszpILyoeJZ\nqAN48uQJ6tChA9JQV0fJx/ehJg0lKyddWlaOTAeMQlHBa1EPxzZYTrOjoyPS0dFBFRUVUsnSpk0b\nlJSUJFLOnQt80Nwte9CLY3sklhUhhOyGjUerp41HelwdVp4FeUAgp5amBroWsgH1cKSnr4qT0dPV\nRSQfhDzllOd9/1nnsy7MZXWeH6qcOQUFImXMysqSiadgxIgRKCIiApNV2vlESLnPkArygypmoQ7A\nyckJOTRrhnR1dJClibH4E/4ft54koj4d26Mejm1QSWkZ+mv7AdSrZ0/k5OSETp8+LbWigBDC8q6Z\n5OzVsydatvcomjSor1QvkJfv05Chvh76o2c3TE5FwMnJCbVt0wZpqKujDi2aSS2jp6sLbT4VJae8\n77ui5Kzt81kX5rI6z49Azg4tmomV0cLCQqYicqdOnSKZLWWdT2U/QyrIDyrLQh3Bu3fvUNu2bdGI\n339FB5fNl+phJwgCTVqzGZ26fRclJSWhpk2boosXLyI3Nzep5Xj//j1q3Lix0uRUFOQtZ1paGsrO\nzkYODg7IwMCg1sqpKNQFOVUy/g8WFhZYvISkyMnJQSYmJkqVVYXaAVWAYx1B06ZNUWhoKPLwqMqn\nl6XCW3h4OGratCkKDAxECxculFoGKysrZGtrqzQ5FQl5yhkTE4NFYxsaGqJGjRohGxsbxn8bNmyI\ntLS0RI4D/5/P/jPOp+Da5YW6NJfKknHhwoVo/vz5UsnWsWNHUlFQpqwq1A6oLAt1DMeOHSNrxwf6\nTEbu3ZxZa8efj09Af20/QKsd7+npicLCwmQav0WLFmjcuHHIw8NDpIVBHnIqA9WVs7i4GJmbm2NF\nbySBo6MjOn36NGrcuDHKy8tD9+/fRwkJCejKlSvo8ePHSF1dHcXHx6NOnTrJRU5lobpyent7o337\n9iE9PT3k6uqKevTogZydnVHbtm1JXgNRKCgoIOfy6tWr6MGDB4jD4aDY2FjUtWtXucioDChCRoIg\n0O3bt1FYWBiKiIhARUVFEsvTunVr9PDhQ8Tl0nlH6sJ8qlB9qJSFOoh3796haVOnolsxMcja3Az1\n6dAOtWtmjwz19VBBcQlKfJuKoh8nooyv2ah3r15oz969mPaek5ODbGxspF7ghNGtWzfk6emJRo4c\nid69e4c2b96MhgwZQr4AqiunslAdOW/cuIH69u0r07hdunRBBQUFrEWT/P39UVBQkFzkVCaqI6el\npSWZOkcFl8tFHTt2RM7OzsjZ2Rl17doVmZubo+TkZHTv3j2UkJCAEhISUHJyMq1iJEIIzZ49G23d\nulUuMioL1ZExICAApaamolWrViEej0eSLX369ElqOerXr4+ePXvGyH8gD1lVqCOokRwMFeSCx48f\ng4+PD3Ts0AG0tbUBIQTa2trQsUMH8PHxgcePH7Oeu3//fsbUSFmampoa9vf379/lJqcyIYuclZWV\nUK9ePbnNpaBxOBxIT0+Xm5w1AVnk9Pf3l/l3J+q49+/fy01GZUNaGS9cuCDX3+HNmzcVJqsKdQcq\nZeEHAp/Pl+rYjh07SvzSGDJkCDRp0kSiY728vCA2NpZVHmnkVAQqKipg2rRpwOVywdXVlfU4SeXc\ntm2b3JWFqVOnSnw9NT2fd+/eBSsrK6hfvz4kJSWxHsckZ1ZWFlhbW4OFhQVcvXoViouLwcjISK5z\nOWHCBCgvL4eJEycCl8uFESNGSCWjMhEdHQ2WlpZgaWkJnz59YjyGTcaioiI4cuQIdOnSRW5zFxwc\nXK3rqen5VEF+UCkLPzESEhIkemFoa2vD+/fvYfny5WBubi7xi6Zx48YQEBAAycnJrDK8f/8eVqxY\nAdnZ2Uq55vj4eGjRogUmZ3VfaMXFxWBsbCy3F7SamhqN1EdSREdHw44dO4AgiGpdkyQoLCwEPz8/\nbIc/duxYqfpYtmwZdu0zZsyQyrogSTt06BA0a9YMm9/ahvz8fPDx8cHkXrBggdjzvn79CmPHjgU3\nNzfQ1dWV+nfm5OTE+r2Hh4dSfkcq1A2olIWfHBMmTBD7UpH2JcTUOnbsCFu2bIERI0ZAw4YN4caN\nGwAA5C7S0NAQvn37prDrzMnJAS8vL5pcmpqacuk/ICBAbovb0KFDJRrz69ev0KpVK3BycoKSkhJ4\n9eoV2Ufv3r0V9qInCAIiIyPB2tqaJvu6deuk6is8PJzWh5mZGairq8tlLplk5HK5NDmKi4vB0dER\nWrduDTk5OfKaKrEgCAJOnjwJDRo0oMkZGhrKes6TJ0/Az89PLvPE5M5xdHQk2RpVUAFApSz89MjM\nzFSIz11cMzAwgIyMDOwzJycnKCwslOv18fl8CA0NBRMTE0Y57O3t5TJOZmYmI4WuLC0+Pl6iMQcO\nHEieM2XKFNi1axfWz4IFC+SuMKSmpsKgQYNYZT937pxU/d2/f1/pv73WrVvT5Bg/fjz5/ZAhQ+Q1\nXSKRkpICrq6urHLGxcVhx6elpcGGDRugVatWCp0fY2Nj1hgPFX5eqJQFFWDTpk2MLw1ra2uJg8gQ\nQtCsWTNYtmwZ4y6JqQkCoKitZ8+etABJWfH8+XPo1q2bSBm6d+8ul7EAgNFyIW3r2rWrRAt8ZmYm\naGpqkucZGhrC4sWLaf2tXbtWLtdWXl4O69evBy6XK1L+e/fuSdXv+/fvZZ4rfX19mc7r168fJkNB\nQQHo6elhv0tFWhcEc6mjoyNSztevX0N+fj6EhoZCz549pXoWpW1WVlaAUJWVQWD1U0EFKlTKggpQ\nXl4OzZs3x14eJiYmkJWVBbdv3xa7QAiawMdaUVEBp0+fhn79+sn04ho4cCCUl5fLfD3FxcWwYMEC\n0NDQEDvWyJEj5TWN8OLFi2q/tE+dOiXRWHPnzqWd27ZtW8Y+t27dWq3riomJgZYtW0ok/4cPH6Tq\nu6SkRGELIFvz9PTEZFizZg3tmICAgGrNGRtiY2MltgwMGzZMrEIhqkmqTA0ePBjy8/Nh9+7dcPfu\nXYVctwp1HyplQQUAALhy5Qr2AgkLCyO/y8zMhEaNGol96dy6dYvW77t37+Cvv/7CdsGStDZt2tCq\nDUqCwsJCqcy0s2fPrs600UB1DYhqTC4LLpcLKSkpYsf49OkTo1VGlP/64MGDMl3Pjh07pLpvpaWl\nUo8hrYWAw+FIfN1Mzd/fnxw7Pz+fMfuiXr16co+hCQkJkXnhl7Y1adIEAgMDxR43btw4qKiokOt1\nqvBjQqUsqEBi8uTJgBBzFHRUVJTIl46+vj7rS+fOnTsyv/R+//13CA0Nhfz8fImuISkpSar+5WWm\nF+DmzZsSj81kVtbT04Pt27eLzNCYNWuW1PPI4XAgIiJC6uuRxjpkaGgo05xJmpIryfxJ0jZt2kSO\nvWrVKtbjli1bJtP1sKFz585yuUZ1dXWawsTUOnToIPJ7HR0dePHihVyvUYUfFyplQQUSBEHAp0+f\naIpCYmIiGBoainzxmJmZse6KXVxcZHqpU5u2tjaMHDkSzp8/L9JFQRAELFy4UOKFZP/+/XKfQ7Z0\nNHd3d/D29pZoUejevTtj+mRaWprMgZSampoQFRUl1fU8fPgQGjZsKFH/Dg4OMs3Zr7/+KvW1uLq6\nwrVr1ySOj6G2o0ePAgBAXl6eyN+1gYEB5OXlyXRNTLh69Wq1OCRkCUQWl8nUsGFDSEtLk9s1qvDj\nQqUsqCASKSkpYGlpSb5c+vbti0WOC7+YgoODobKykjw/Li5O5pcjWzMxMYGZM2fC3bt3WYMB79+/\nD+3btxfb18WLF+U+ZxcuXKD5mlesWEFaC/bv34+5ZTQ0NGD16tU0RUJHRwc2btwIPB6P7HvatGnV\nmjsulwu3b9+W6noEfAridrM9evSQab6GDh0q1TUsWrSI/I1lZGRIvWO/du0aAACsWLFC7LErV66U\n6ZqEUVZWBpGRkeDq6iqRVYD62zAzM6N9bmBgIHNKc2BgIDg6OpJ/N2/eHL5+/SqX61Thx4VKWVCB\nFZmZmWBvb0++VLp27QrFxcVAEIRI4pyuXbuS5s0+ffrIRUFgi3lo0qQJrFixAt68eUOTn8fjiWWz\ne/jwoVznLC4uDiOu0tPTg8jISNpxd+7cAQsLC/I4XV1diIiIgJs3b2JzjlCVOTkxMRFSU1MlCtoU\n14yMjGRKUT116pRIi42swaJs1hbhxuVy4dixY7TzS0tLJeILEbSkpCTIzc0FAwMDieZKUheYMPh8\nPsTGxsK0adOktijo6Ohgvw9Ba9CgAQQGBkJqaqrU911DQwPCw8MBoIo5k0pU5eTkBAUFBTJdVH9F\nPgAAIABJREFUpwo/B1TKggqMyMvLg3bt2pEvk1atWtECvoKDg8HCwgJ8fX1pfnQtLS25pBIKN1NT\nU1bFoWvXrrB9+3aSDTI+Ph57UTKdw1Z/QRbs2bMHk83e3l4k/XF6ejqNcnvp0qWMzIgaGhoSWUok\nbRkZGVJdG0EQ8Pvvv5PnMwVYyhosunz5clpfwrvvhg0biqwrQBAEbNmyRaJgx6ysLBpzpKi2evVq\nqa4nOTkZAgICoHHjxoz96evrSx2U2bx5cwgNDYWysjIAqMpQkeZ8Y2NjuHz5Mibnhw8fMNKqnj17\nyhSgqsLPAZWyoAIN379/h+7du5MvEVtbW1aeeipiY2PBwcFBbgsah8MBS0tLRuVAT0+PNUNDQ0MD\nBg0ahH0fEhICZ86cwfzv6urq1UrRFKC8vBymT5+OyeDi4iJRNP33799h3Lhx2Lnu7u5QUFAACQkJ\nciXg4XK54O7uTprhpcHBgwfJfuzt7SElJQVGjx6N9b9hwwZZpo9GJmVjY0OTPTAwUGw/5eXltHO5\nXC7Ur1+f/FtTUxO+fv0qlf+/fv36YnfdWVlZEBISwlpvRUdHB2xtbRmVBDMzM0xGanN2doazZ8/S\nAl63b98ukeydOnWCv//+m1UJePHiBUZV7u7ujrm9VFBBAJWyoAKGiooKcHNzw15k0tQpKC0thUWL\nFlWbhnbr1q0kMU5+fj5s374dfvnlF8ZjmzRpwrjACJqJiQlcv34d+Hw+FBYWwrx588DCwgKWLFlS\n7fnKysrCFCuEEPj5+Un1wiUIAjZv3oztplu2bAlv3ryBsrIyWLp0qVR+buFmbm4OFy9elJnsKicn\nB2PApAZJXrlyBdq3bw8ODg5ScywI8OXLF3BwcAA7Ozto3bo14zUYGRnBly9fRPazbt06TEkQ/F9N\nTQ26du0KJiYmsGzZMjhz5ozUc3jhwgXaeCUlJXDs2DEYOHAg4+9dTU0NmjdvjsX8CLfOnTszWmlc\nXFwgLi6ONSZHXEbM3LlzJbYe3b9/HyOlmjBhgqoAlAo0qJQFFUjw+XwseLFevXrw6NEjmfp69OiR\nVMWVdHR0oHfv3uTf+/bto/VJEATcuXMHPD09GV+wxsbG0KVLF1Zq54YNG8Jff/0Fz58/r+5UAUBV\nOV6q9UJbWxsOHz4sc3/C0fJGRkZw5coVAAC4dOmSVAQ9VlZWYGdnRy5a4hZaURCk1CKEYNSoUTL3\nIwpJSUlYrIampibs2bMHi0UYN24c6/kpKSnk/HA4HIiPj4c//vgDm5PRo0dDSUkJ5OTkgKOjI5mC\nKC5zhlovorKyEm7cuAETJkxg5YdwcHCAjh07Mv5GqfdQeFwNDQ2YMGGCSNeVABs3biTPMzU1hYkT\nJ8L8+fPJz6R1Cd24cQPLsvHz81MVkVIBg0pZUAEAqhZiPz8/8mWhpaUlVR17JlRUVMC6desYU/2G\nDBkCJ0+ehCdPnkBlZSUQBIHVCXB3dxfZd05ODvzzzz9i3R5ssQrt2rWDoKAgqX33Ahw7dgx78VtZ\nWcH9+/dl6ouKt2/fYq4HDocDmzZtAoIggMfjwYYNGxgXoe3bt8OxY8fg3bt3pAWBSv/MVpRIHGJj\nY8k+DAwM4PPnz9W+RmGcPn0a29mam5uTdRG+fv2Kmeijo6Np5xMEAQMGDMAWOoAq5Xf16tXYPLVv\n357RAkJ1hYSGhkJlZSXweDyoqKgAgiAgKSkJFixYwFiYCqEqavR+/fqx/h579eoFnp6ejN/p6+vD\nvHnz4OPHjxLPGZ/PhwsXLkBcXByZGZKfn0+67GxtbaVe7CMjIzELlrw5SFSo21ApCyoAAMD69eux\nBer06dNy6zs5OZmWS6+rqwuXLl3CjuPz+aTJlsvlSlT1jiAIuHnzJowaNYoxtsHS0hKGDx8Offr0\nYVQc1NTUwMXFBQ4dOiRRhkBlZSX89ddfWB/Ozs5yXUQLCwthyJAh2Bjjxo0jlYDk5GT47bffsO/N\nzc1pAWzUEuSSVrKkory8HKN53r59u1yuTwA+n09LX3RycqItmnv37iW/b968ORnkJ8CJEyfI7xs2\nbEi7j2fPnsWsAKamphATE4Mds3PnTvJ7Advlp0+fICgoiJVG28DAAIYMGQKDBw/GlB1Bq1+/PsyZ\nMwc2bdrEGJxqbm4O69atg9zcXLnNad++fcn+ExMTpT5///79mIw7d+6Um2wq1G2olAUVsJcxQvIn\nKgKoWhiYot49PDzI7AUAgKlTp5LfnT9/Xqox3rx5wxq4xuFwoH///jB9+nTWvHwulwtjxoyBy5cv\nM8Yc5ObmYjtYhBB4eXnRFi95gM/n0yL2O3bsSGZv8Pl8RrIrT09PMrCSz+eTaZy6urpSR7pTFchO\nnTph/BnVRWFhIY1fYezYsYwKIp/PB2dnZ/K4NWvWkN/l5+djxExsSu5///2HMUVqaGjAzp07yd03\nldZ66tSp4OLiwuie0NDQAFdXV5gxYwZrMKOzszPs3bsXgoODaWmwCFW5q3bs2CG3gmlUUAMfqfMk\nDag00WpqanD8+HE5S6lCXYRKWfjJcerUKcz0uHHjRoWN9fbtW8aXq5mZGRw/fhwIgoALFy6Qn0+Z\nMkWq/n18fMhzO3fuDEOHDmUMPLO1tQU/Pz+YN28e48tcsOvz9fWFBw8eAEEQ8PLlSywvXV1dHbZt\n26Zwv25ERARGvmNhYQF37twBAIAFCxYwym5hYUEWpJo0aRL5ubAlRxSEYwBEpS1Ki3fv3mGBjGpq\nahAYGChyLhMTE8l7qaOjA+/evQMA/J4PHjxYZB/fvn2j0VdPnToVSkpKYMaMGYxzKWhdunSBgIAA\nmDp1KiPro76+PsyYMQNiYmJg9erVYGpqytiPmpoaPHjwQG5zKYy0tDRMuZQVCxcuJPvR1NQkY2dU\n+HmhUhZ+YggHNVEL7CgCVGXB2dmZRlTj7u4O7969IyPZLS0tJY7KfvDgAbkT1NXVJf3Snz59glWr\nVjFSFmtoaMCIESMgJCQEpk+fzhqQaW1tjc2TqakpY9EsRSExMRHL2dfU1IT9+/djAW2LFi2iLWLD\nhw+H0NBQ8u/p06dLNJ5wDMDcuXPldi3Xrl3DYhAMDQ0lpqCmXu+AAQNY77ko8Hg8GqEYG2+Hvb09\nLFmyBDZv3kzLeBG09u3bw549e+C///6DOXPmMLIqUhkYfX19qzuFYkF1eUiS8swEgiAwK5+uri6p\npKrwc0KlLPykePjwIebHnTRpksJ3yW/evCHHGzduHGRmZtIi1g0NDTEyKEmCBnk8HkZfy5STz+Px\n4Ny5c+Dq6spoXm7atCls2LABjh49CiNGjGAMIkSoit9h3bp1cq9IKA7Z2dnQq1cv2kIl+H98fDxk\nZGTQYh2MjIzIxdDa2lqie3zy5EnyfKYYAFlAEAT8888/mBWrRYsWUqXlFhUVYUqfINuD7Z4z4cOH\nD7Bu3TqwsrJitSL07t0bTpw4AQsWLGC0EHC5XJg0aRLcv38fEhMTYdy4cTQLlrq6OowdOxb++ecf\n8rMGDRoohSWR6u7bvXu3zP1UVlbCiBEjsN+SJJkaKvyYUCkLPyGSk5Oxl+CQIUOUQsRCVRY8PT3J\nz0+dOsVIbYsQgoCAALH9BgcHk8e3adNGbMnd9+/fw5IlSxjH1NLSgrFjx8KpU6dYC0IJjhs2bBhE\nRkYqJGaBCRUVFTB79mxGee7evQsAVYvy8ePHWc3g4twJksYASIPS0lJaPRE3NzeZFs7Tp0/Trknc\nPc/Ly4N9+/ZBjx49WO+ncH9Mn7ds2RJCQkLg27dvEBMTA66uroyKhI+PD6SmptKUmxMnTlRnGiXG\no0ePyDEHDhxYrb7Kysqw2BhLS0uJyqir8ONBpSz8ZPj48SPGDdCjRw+FBFox4fXr14zKAkCVP5mJ\n379BgwYiA+vS09NJC4mamhq5aEqCiooKiIiIkKh+Rf/+/VnZFI2MjGDq1KkQGxurFDKb0NBQWjqq\noJKiAF+/foWxY8fSZB00aJBIGaWJAZAEnz59gk6dOmEyLF26VOZ5IgiCFtjJZB4vLy+Hs2fPirQS\nde/eHYKCgjBLlnDT1NSEMWPGwO3bt4HH40FkZCRjgKyxsTGsWLECC9alujv69++vNN4CgiDIFE9t\nbW0oKiqqVn9FRUXYNdvb2yskhVaF2g2VsvATIScnB0uFa9++vcxFcmQBVVkYP3484zFXrlyhsTG2\nb98e/vvvP8bjhw0bRh7n7e0ts2xv3rwBf39/xuJC2traMHHiREhISIDHjx/DvHnzWFn5bG1tYcmS\nJZCcnCyzLJLg7t27mH9cR0cHTp48STvu/PnzNAvK77//Dm/fvqUdK0sMgDgZqfOkq6vLKKO0oMZT\nqKmpwZMnTwCgapG8e/cuzJgxgzX+pHnz5rB27Vp4+/YtXLp0Cdzd3RnZMblcLqxcuRKysrKgtLQU\n9u7dy8ihYGtrC1u3boXi4mJMRmpApra2NhmQqSxQAzaZCplJi5ycHExZbtOmjVxTPlWo/VApCz8J\nhHcHTZs2rRarnyx49eqVWGUBoCqtrmvXrrQd3qpVq7BaDufPnye/Nzc3r9bLiyAI2Lp1q1ha5fbt\n28OuXbsgLy8Prl69Cp6enow59ghVVYsMDg5W2DwzlQpn2rXn5eXRWC11dHQgKCiItNpIEvchDYSt\nH40bN4Znz55Vq08AgIsXL9KuuW3btrBs2TIsNZLazMzMwNfXFx4+fAifP3+GdevWga2trcj7LNhB\nz507l1ExbNeuHYSHhzO6P/h8PsYrIm0hKnkgKiqKHH/ChAly6fPTp0/YvP366680JUmFHxcqZeEn\nQFlZGUbW0qBBA0hNTVW6HMnJyRK/wJ4/f874Am/Tpg08ePAAiouLMQuEoPSuLCgrK8NSDBGq8vXe\nvXsXfH19WVPlvL294cmTJ1BcXAxhYWEwYMAARmVDXV0dBgwYAGFhYXJ9ubKl+zHFAzBxXCBUxZ/w\n/Plz2LJlCzbH4uI+2FBRUYG5MhCqYi+kmudlRUlJCZYVwnRfqJaBMWPGwKVLl6C8vByio6Nh5MiR\njMRcDRs2hP79+2P3lq3fXr16wZUrV0S6FPbt20ce7+DgoLSYFirKysrI6zAxMZEbR8abN2+wEuwD\nBgyQSzE2FWo/VMrCD47KykoYNWoU+XAbGRnJrTaCtKAqCxMnThR5LEEQWG0DarQ5h8PBCHFcXFxk\n9gdnZGRAly5dsAVh0aJF2Mu1pKQEDhw4wErm1LlzZzhw4ACUlJRAZmYmBAcHQ4cOHRiP1dPTA09P\nT7h69Wq1X+De3t5kv/Pnz2csRCXAw4cPsV0+NSNEU1MTswLImiKXnZ0NPXv2xK539uzZMisewqDG\nALDVc+jTpw8cOnQICgoK4Nu3b6yU4GpqauDq6grnzp0DHo8Hmzdvxn5fwse3atUK7t27J1ZGSeip\nlQVqJoOAPlseePLkCeau+/PPP1WFp34CqJSFHxgEQWClk7lcbo3mSr98+VJiZQEAYM6cOeTxGzZs\nYKTM1dTUZPS/S4J79+5hkf9cLhf+/fdfkec8efIEvL29GXefhoaGMHv2bDK+4uXLl7BkyRJWk7el\npSXMmzcPnjx5IpOyQ82DT0xMpHEYUAtR8fl8Ml1QR0cHoqOjoUWLFjSZhg0bJv1EAsCzZ88YuSCq\nCz6fDzExMVhsClsbNmwYGbcwfvx4xsBGc3NzWLx4MWZZu3PnDmPwqrDSMHz4cLHBghMnTiSP9/Dw\nqPb1VwdHjhwhZZE3h0psbCxWG2XmzJmqwlM/OFTKwg8MKl2whoYGrXaAskFVFiZNmiT2+Bs3bmAv\n3oqKCli7di1tV+nt7S11oObBgwex3bSNjQ0ZKCcJCgsLYffu3ayR9N27d4ewsDAoLS0FPp8PsbGx\nrOx/gp3rhg0bIC0tTWIZvLy8yPMF1iJRhaimTZtGfn7u3DkoLS3FrE6C4//66y+pMmROnjyJBVta\nWlpKlZXChJcvX8LixYtZS49bWVmBv78/3Lp1C1OQ2Bg5e/XqBSdOnCBN5nw+H86fP0+rsYFQVSDm\nkiVL4PPnz7Bhwwbs99amTRvW1MHbt29jiqOyY4KEkZOTQyo8Dg4Ocu//woULmMVv2bJlch9DhdoD\nlbLwgyIkJAR7AVbHpy8vvHjxQiploaKiglxcjYyMoKKiAiv4Q23W1tZw4cIFsX3yeDzMYoFQVfpo\nVlaWTNdEEATcu3cPJk2aRDJPUpuJiQn4+/uTLoHS0lKIjIyEoUOHsjIH9uzZE/bv3w95eXkix6bG\nWbx48YL8nK0Q1alTp8i/vby8oLi4mNXq0axZM4iNjRU5Pp/Ph4CAAOy8Tp06ycwaKHDhiOK3qFev\nHly6dIl04Tx+/JiVXbF+/frg5+eHZaaUl5fDwYMHWdNgEUJw5MgRTK6LFy9iZndjY2O4ceMGdkx5\neTnWZ20pwETllnj16pXc+w8LC8PmbsuWLXIfQ4XaAZWy8ANC+AHeunVrTYsEAFXFfAQyTZ48WaJz\n/vzzT/KcyMhIbGfu6+tLy0QYM2YMfP36lbGvnJwc6N27N3b8zJkz5eZTz83NhZCQECw9ldr69OkD\nERER5Hjfvn2D3bt3Q7du3RiP19bWhpEjR8K5c+cYg8iovBTCqZpMhbscHR1J07GFhQVWW6JXr16w\ndu1aGn/DrFmzGBkcCwoKwM3NDTt2/PjxUherKi4uhvDwcBgwYABjHQ8Oh4MpVdevX4eSkhIIDQ2l\n8TcIWqNGjeDw4cOYdaSwsBA2bdrEWGK6VatWmIVFUFeDilevXkHz5s3JY9TV1SEkJIQ0vW/YsIH8\nrnPnznItulUdbNq0iZSruhkubNi6dSs2n4cPH1bIOCrULFTKwg+GS5cuYRHfy5cvr2mRSFCVBS8v\nL4nOOXbsGHkO9WUtiHl4//49rTiQqakpHDt2DPOhJiYmYvTAmpqasHfvXoVcJ0EQEBsbC2PHjqUt\nvoKFesmSJfD+/XvynJSUFFizZg1jMJ5gNztjxgy4e/cueV3U1Ek22uRTp05hChXVjy9YnLW0tMjz\nX758iVV4RKjKRXP16lWyzzdv3mAKEYfDgeDgYIl91pWVlXDt2jUYP348a+ZBhw4dYMuWLdgiPnDg\nQJg9ezajK0dXV5d0F1B5Db58+QJLliyh1SFBCEG3bt3g/PnzwOfzYePGjZhSyoT8/HwYOHAg1sfE\niRMhOTmZtCpxOByp3FmKBpU1tVu3bgobh1pqXF1dHc6dO6ewsVSoGaiUhR8I8fHxmCm8tgUdUdMh\nJVUWcnNzaTtOExMTLBWPIAg4dOgQ5rtGqIqBMD09nbFyY3x8vKIuE0N2djYEBQVB06ZNaYuVcES+\n4FoePHgAvr6+WAEiarO3t4fly5eDu7s7+ZmoIE/hQlTCbeXKldjxlZWVsGXLFlpRpIkTJ8LJkyex\nhbd+/fpw7do1sfNAEAQ8e/YM5s+fjwWVCislS5YsgZcvXwIAwK1bt2iKjXBzdHSEPXv2QFFREVZo\nqnv37jBt2jTGIMchQ4bQAn3//vtv8ntRFNeVlZWwePFirD/qfMyZM0fsXCgbAsWOw+GwWt2qC4Ig\nsJRZbW1tiImJUchYKtQMVMrCD4KkpCTspTV69OhaYwoVgKosSFN++vfff8dezgcOHGA8LjMzE4YP\nH44dK7xYdOzYEdLT0+V1SRKDz+fDjRs3YMSIEay5/itXrsT8/RUVFXDp0iUYM2YMYzwEtYkruMVU\niAqhKnIuNtdBSkoKzW1Dba1btxbLTJieng4bN26EX375hbEPQ0NDmDJlCty+fRtLv3vx4gUrCyO1\nkBNVGS4qKsI4AKhNU1MTJk2aRCoiwqC6ESSph3H8+HHaPTE1NVVKoShpQS03ffDgQYWNw+fzMYrx\nevXqybW0uQo1C5Wy8AMgNTUV263169evVhKlJCUlyaQsUAml7OzsxFpLTp06xbhoDBkyRGl1MEQh\nMzOTlUVQXV0dhg4dClFRUdjiWVhYCIcPHwYXFxdGjgENDQ0YPHgwHD9+nPUaKyoqYMqUKdh5LVu2\nFLnbJAgCduzYQQvGtLa2Zs0KKCgogAMHDkDv3r0ZZdXU1IQhQ4ZAREQEpqhUVFRAZGQkdr+prVWr\nVhASEkJj6iQIAqKiohiVIX19ffD39xcbdLl+/XrynDNnzog8VoD4+HjM4qGhocGqyNYk7ty5Q8oo\na2qspKioqMBcNWZmZlJVFlWh9kKlLNRxfPnyBaO57dKlS7ULxygKiYmJpJxTp06V6JyXL19iO3FH\nR0ex57x584bR98/lcmHTpk21xuJSWVkpsj6BnZ0dbNiwgZaC9+nTJ9i0aROjH16wo5s0aRJER0fT\nrtXT05N2vK2tLSsV88ePH1mzE0xMTCAsLAwIgoCKigq4ePEi/Pnnn1j+PbU5OzvDzp07IScnhzbG\nsmXLWN0Trq6uEBsbS1MSeTwehIeHiywENX36dInuBVVZOHv2rETnUN0e1DZnzhylVHGVFJWVlaRL\nS1dXV+ogVGlRUlKCBe3a2NjAx48fFTqmCoqHSlmow8jPz8delC1btqS9iGsTqMrCtGnTxB5PEASt\nrLCamprInXBUVBS2iOrr69MKKQkojmsTPn78CMuXLyeJk4R34qNGjYKbN29iC+bIkSPJY9gWWmtr\na/jrr78gKSkJoqOjWRdVpiJPcXFxmIVGV1cX5s6dS6sz0bhxY1aXQZMmTWDlypU0d4VAUXJzcxNZ\nj2PGjBm0uSouLoatW7cyWmaaNWsG69evxwIOJTGFr1u3juxDkuA84UJRHh4emBy9e/euVc/i5MmT\nSdkuXbqk8PHy8vKwd1OLFi3kQvmtQs1BpSzUUXz//h1bSG1sbGrEFy8Nnj17JpWycODAAfJ4qgLA\n5HclCAICAwOxhadVq1bw9u1bKCoqgtmzZ9MojlesWFHr3DU8Hg/OnDmD1SqgNgcHB9i8eTPk5ORg\n8RkfP36EmzdvwuTJkxkrZyKEsMwMQTCosJsgICAA+Hw+7NmzB3M92NvbkwrWgwcPWGMQBBaHWbNm\nQUJCAs0aIM4FQ6XUbtSoEWYly87OhhUrVtCUFYSq0hUjIyNJSwo1BqFTp05irUlr164ljz9//rzI\nY/l8PpYxsmbNGgAA2Lt3LzZndnZ2kJSUJPVvQBE4e/asVM+ePJCZmYlZPTt16sSYhqtC3YBKWaiD\n4PF4WCS8qampQghX5A2qsiCunHR2dja2KAQHB5P/F/a7fv/+HQusQgjB0KFDaS+m+Ph4LP0Soaog\nPXHBgTWFlJQUWLRoEWNWhLa2NjRq1Ij8+/Pnz+R5379/hxMnToCbmxtjMCVCVQGVgv8LB5AKL+Qu\nLi6QkpICe/bsYeWEELQ2bdrQgggJghBbyGn16tXw8uVLrMKjwB2QmpoKPj4+jEGerq6uEBMTQ1NK\npCVJWrNmDXmsOHKvvXv3ksc2b94cKxQVHx+PWbL09PQYeRuUjeLiYtI91KBBA6XVckhNTcWsZX36\n9KmRwloqVB8qZaGOgc/nY2Q8+vr68OjRo5oWSyI8ffpUYmWByrH/559/QmVlJWkSp/pd09LSaD71\nFStWsL4MS0tLYcmSJbTCVPPmzYOSkhK5X7M8UF5eDsePH2cM4BO09evXM1Jef/36FZYvX85aeAmh\nKjfClClTGI9xc3ODYcOGMfJFIFRVplhYgeByufDPP/9AVlYWbN68mbWQ08CBA+H8+fOkf3/mzJnk\n9+7u7vD06VMYM2YMLW1SXV0dxo0bB4mJiSLnTRr65dWrV5PHXrx4kfW4rKwssYWi0tPTsUJnCFVR\nIdd0saXBgweT8jx48EBp4z5//hybsz/++KNWxXSoIBlUykIdAkEQWFCVlpZWjVa1kxZPnjwhZRcV\neEbNrzc0NITMzEwAoPtdY2NjMZ+6np6eRGlvAFWKi6OjI/ZCt7e3h5s3b8rlWhWF5ORk8PPzo3FK\nCJQoLy8vePjwIXk8QRDQp08fbHGnmoaFF3BRVgNBa9myJaxfvx6rY3Ht2jWaRYKpP3NzcxohFQDA\n/fv3yeN1dHQYKZx1dXVhzpw58OHDB4nnS9LCTqtWrcJ+W2ygKurjxo1jPe779+8wbtw4TH53d/ca\nTa2kls5eunSpUsdOSEjAyMG8vLxqFQeMCuKhUhbqEKjEMRwOh5VprrZCEmWhrKwMcxVQzcdnzpwh\nP+/evTtm0ra3t5faP1xRUQEbNmygcTFMnTpV6sJUysb3799FZgF06NAB9u7dC6GhoeRntra2UFxc\nTFZmZCu6xNQsLCxg7ty58PjxY8aXfEFBAfzzzz+M8QQIVdFJnzx5kjFGhMfjMVYUFTRTU1NYvXq1\nTAGDX79+xYIvhWs6CLBy5UqxykJMTAx5jJGRkdhCUQRBwKZNm0SWDlcmMjMzSTnatGmj9PGvXbuG\nxXQsWLBA6TKoIDtUykIdAXVXgBCCffv21bRIUuPx48ek/ExR7gC4ObhLly6Y6ba4uJiRkc/FxQW+\nffsms1yvXr2imdKtrKzEBrrVNKj57F5eXlCvXj2R1gJhX7xwsTFRrWPHjoxcBY8fP4apU6fSanQI\nt3bt2jFmJXz//h1GjBjBeI6dnR3s2LGj2u4h6rPj4ODA6DOn0hUzVWctLy/HKK537dol8fhXr17F\nAnSppcOVjS5dupByUMt0KwsnT57EfpN///230mVQQTaolIU6gMjISGx3smHDhpoWSSZQlYWZM2fS\nvn/z5g2pDKirq9Ny/798+UIzv/v5+cnF/8nn82H79u20WgV//vmnwihyq4sBAwaQcubl5UFRURHs\n27eP5i8XNGdnZ9i7dy8cOXKENdtCTU2N0cUh+K5///4QHh4Ou3fvZi3k9Ouvv8L+/fth/vz5WLyB\nuro6LFq0CEpLSyE3NxfWrl3LaIlwdHSE48ePy82vzefz4ddffyX7X716Ne0YqrIQFRVF+57KwyCs\nxEoCptLhQUFBSjfFU1NEQ0JClDq2ANQAUYSQwmq0qCBfqJSFWo6bN29iwWXz5s2rs77x+udFAAAg\nAElEQVS+R48esSoLBEGAi4sL+f38+fNp51Ij+BGqYmSUNz58+EBbSE1MTCA8PLzWzTu1gJawL5ya\ndippW7hwIWRkZABAVeDo33//jWVciGr16tWDmTNn0oIOHz16BG3btsWOrV+/PmNmg7W1NVy7dk0h\n8yzMiyBcS4NaoVN415+amkpmElSnUBRT6XAPDw+lsopSKdf79OmjtHGFQU1t5XA4EBERUWOyqCAZ\nVMpCLcajR4+wne6ECRNqPKK6OqAqC7NmzcK+Cw8PJ78Tzq8PDw9nZAWUhM1RFhAEAYcPH6btsAcN\nGlSrmOioyhU1TbSiogLatGlDfieuroSgBQcH08YoLS0FX19f1kJOCFVVxPT392etu1BeXg4+Pj4i\nyZeMjY1pNM7yhr+/Pzle//79MaVk2bJl5HfUCpsEQWDunrlz51ZLBqbS4R06dFDa74ogCDJWRUND\nA/Ly8pQyLpMc1GBtTU1NiQqSqVBzUCkLtRSvXr0CU1NT8mFyc3Or8+lGDx8+ZFQWcnNzsawGAYNe\nZWUlLFiwAHuxOjs7Y4F9inzJfvnyheZPr1evHuzevbtWKG3UIk/FxcUAAPD582csRU6aZmNjQzIt\nvn37FhYsWID9BiVpTk5OEBwcDJmZmWSpbknkCQsLU/h8FRUVYZYSKmPl0qVLyc+pi1ZkZCRm+ZAX\nqVBkZCQW52Fubq60Sqhz584lxz127JhSxmQCQRAwadIkUhY9PT24d+9ejcmjgmiolIVaiPT0dLCx\nsSEfou7du9eKAkjVxYMHD8hr8vHxIT/39vYmPxcQLuXm5mI+eYSqgvjKysqwIMgdO3YoXO7IyEiM\nLAihKiKjmopqF6Bnz56kPPv374d+/fox7t7V1dVpdNDt2rWDZs2aMS7cbBkNrVq1ohE4GRsbM1od\nOBwOGBoa0j43MjKCvn370siZJk+erJRdLjWjpkGDBqT7JiAggPz8+vXrAFDlNrC2tiY/l7epPCkp\nCezs7LDdtTL89zdv3iTH/PPPPxU+nijweDwYOnQo9nv677//alQmFZihUhZqGXJycrBAqHbt2tX6\nND5JQVUWZs+eDQAAd+/eJT/T19eH9PR0ePHiBTRt2hRb7LZt20aajalMkP3791eK7Lm5udguCKEq\nPoCgoKAasfjweDzM1cDUzM3NYeXKldC6dWvs87Vr1wJBEEAQBNy6dQtbsJgUjSFDhmCFnA4cOIDF\n0TRs2BAWLFgAHTp0YO1HV1cXvL29IS8vD5KSkhiZHK2srCSqy1AdEAQBbm5u5Ji+vr4AALBkyRLy\nM0F65bx588jPXF1dFRJLkZOTQysDPnPmTKioqJD7WAJUVFSQ2RmGhoY1TnleWlqKzYGVlRWNh0OF\nmodKWahFKCoqwlKbmjRpQhIS/Qi4f/8+piwI+9aDg4Ph3LlzWAqgqakp3Lp1C+uHIAjS8qKlpaVU\nvvlr165B48aNsZd7x44dxbIJygMEQcCTJ0/Az8+PZukQbmZmZnDx4kXMjVCvXj3MxSNJISeBlWDw\n4MFw8eJFssZCQkICJoOmpiZrFgW1WVhYYFaOwYMH01I+FZ2B8v79e1qhqcWLF5PjR0dHw7Nnz0iL\niY6ODms5bnmAx+NhrgGEEPTo0QOysrIUNiaVHp2Ne0KZKCwsxLJ4mjZtKpbHQgXlQqUs1BKUl5dj\n0e2WlpYKfUHVBKjKgq+vLwQGBpJ/Ozo6YulrAqsK2w5j1qxZ5HHK5t4vKioCX19fLF9cQ0MDli9f\nrhDe+7S0NNiwYQNmcRJuEydOxGpITJ48Gdu9N23aFF68eCGykJNg0V+7di0MHTqU0b1gY2MDa9as\ngc+fP8Pjx49Zq1326NEDAgMDYerUqayltLW0tGD16tVw9+5dLIhQoCQeO3ZMYRkoVIKzTp06wcKF\nC8m/r1+/Dl27diX/Xrt2rUJkEMbBgwcxi42NjY3MmRficOLECZp1paaRnZ0NLVq0IOVq3779D2NV\n/RGgUhZqASorK2H06NHkQ2JkZKSUnaqyce/ePWxx09XVBYSq8veF6x6MGjWKDNpjwtWrV8ljx48f\nr8Sr+B/u3LmDvdwQqvLrJyQkVLvv/Px8CA0NhZ49ezLSJmtqamLMhNSdqXCKab9+/eDs2bMiCzlR\nq0gKLDkZGRmwevVqWn+Ce8ZGD92tWzcslbOsrAwiIyNpCoGwcuHl5UWzTri5uTGSQVUXwoWmqIo6\n1f3QokULpRY+unfvHqaAcblc+Pfff+U+Tn5+PsmmaGtrW2vSgj9+/IgFoXbv3r3W1mz52aBSFmoY\nBEFgBXS4XK7SoqKVjYSEBPI6qX5yakCdmpoarF+/XuzLq6ysjDRfm5iY1FimSGlpKQQEBGCLsJqa\nGvj5+YlUdphQUVEB58+fh1GjRjGmiiKE4LfffoPdu3fDt2/fMJeVwJUg7FLo2bOnRIWcwsLCsMWS\nCh6PB+fPn4fffvuNdbGnBuQixExr7OnpSX7PVElTYG2gBhUiVOVX37dvn9wXNGqhKSozKDVLoSZq\nhWRkZGD3FiEEixYtEltmW1r07duX7L82bU5evXqF/T4GDRqk0BgOFSSDSlmoYVBN7xoaGiKL2NR1\nUJUF6qIl+L+BgYHIin/CGDlyJHlubGysAiUXj6dPn9KqX9rZ2Yn1BxMEAffu3YNZs2axpik2a9YM\nVq9eTXNLde7cmXXx5nA4GA+/oFlYWDAWcvr27RvpdmjatCm5MBMEAZcuXYIePXqwjiVompqa2JhG\nRkYkG2J0dDT2+ZcvXyA1NRXWrl1LKxvO9NtAqIpESN4UxdRCU8LN09NTrmNJg9LSUlpA7cCBA+Vq\nlt+2bRvZ95o1a+TWrzzw+PFjLJbFw8OjVqQr/8xQKQs1iK1bt2IvA2XkmtckqJkPws3BwQGSk5Ol\n6u/o0aPk+bWhKA2Px4O///6bVr9iypQptLTAlJQUWLVqFWv6oqmpKfj4+MD9+/dZd9RstM5MrXfv\n3qyFnASgpkUmJSXBkSNHMPeEoDVo0AA2bNgAR44cwYih2Bb89evXY9aNPXv2YOMSBAEPHz6EOXPm\nYHwbTI3L5cKWLVvktssWLjRFVWgUGWAoCQiCgK1bt2KxI7I8J2xIS0sj++3UqZNc+pQnYmJisGdp\n9uzZtcZd8jNCpSzUEKiMhQgh2LJlS02LpHCwKQsDBw6UKcc+JyeHNLs3b95cARLLhtevX9NKLDdo\n0ACOHDkCu3btwuoUUJuOjg6MHj0aLly4IJHZVVzqpLGxMcybNw9evXolkdybNm0iz2XiSGjRogWE\nhobSfPjSEDg5OzuL3CHyeDy4fPkyjB07ViTzpJ2dHdy5c0ei6xKH/fv30/rfvXu3XPqWB6KjozGF\nRloLnChQq30KqL5rE86dO4cpS6tWrappkX5aqJSFGsDly5cxH7eya8vXFKiLkaBV1xdLNY9Luigq\nA3w+H3bs2EErTMW08+7VqxccOHBAYhNzcXExzSpFbb/++iscOXJEKiKvrKwsmDFjBusCf/bsWbFm\n4LKyMjh27JhIl4WPjw+tjgUbCgsL4fDhw9C3b1/WYMrmzZvD0aNHqxUEx+fzMZO3mZlZrTN5p6am\nYsqhpLE94kClnq5NChIVhw4dwu75tm3balqknxIqZUHJuHPnDrZj8vb2/ilMa/Hx8dgOgcPhyCXK\nm6qABAUFyUHS6oPP50NsbCxMnToVDAwMGBc5a2tr2LBhg1R01f/99x/Mnj2bsRS1trY2YyEncXj3\n7h3MmDGDMaCyX79+EBcXJ9Pv88WLF6w1JbhcLkybNo2xZDUbMjIyYNOmTRhZF7Xp6urCxIkT4caN\nG1IrnykpKVhgqIaGBq3QVG1AUVERDB8+HLvu0aNHSx1ISwW1Xourq6scpZUv/vnnH+y6w8PDa1qk\nnw4qZUGJeP78OZZzPnLkSLlHONdGHDhwgLZojB07Vi59v3nzhuyzR48eculTViQnJ0NAQACNtIm6\nG6T+PXDgQLHKQllZGYSHh9PcGtTG4XCwwluS4PHjxzBq1Cha9gRVxiNHjlRnOuDYsWMirSoIVfnK\nQ0NDpVrwHj58SMsWEFbEFixYIJHiRBAEuLq6MipKtVGJJwgC1qxZg8navn17+PDhg8z9CbJPtLW1\npf4dKRNUSu4fPRi8NkKlLCgJqampWP60i4uLUvO3awIVFRXg6+vL+EIXLkFdHQii6TkcDuTk5Mit\nX0mQlZUFISEhrMGGenp64OnpCVevXoWMjAwYNWoU9n29evVg586dNLO3NHEAenp6EslKEARcu3aN\nMShRX18f5s2bBxEREZgyKyvy8vLAwsKC7CssLExk9oaBgQH4+PjA8+fPJR7j3r17IqmqEULQtm1b\nCAwMhPT0dMY+Tp06xXruiRMnZL5+RYOJ6TQmJkamvqjup9OnT8tZUvmBIAiYPn06KauOjg7ExcXV\ntFg/DVTKghLw5csXzHzauXPnWq3BywPZ2dk0oiVq8/f3l9tY1MqU1d0NS4KSkhI4duwYDBw4kLWI\nUv/+/eHo0aOM9/nMmTM0uuYePXrAixcvIDIyEst/l6QZGBiIlJfH48G///4Ljo6OtHPNzc1h3bp1\nZHloHo9HBtPVq1dP5roB1Jf60KFDyb6FaY2ZWrdu3eDo0aNQWloqdpzy8nJYuXIlY5ootampqUHv\n3r3h4MGDZMyEcKEo4UYtNFUbIVxDRUNDA3bs2CG1RSQqKorsY8KECYoRVk4QJrAzNDSEZ8+e1bRY\nPwVUyoKCkZ+fj72kW7RoAdnZ2TUtlkKRmJjIaIqnumDkqSzExcWR/Y4YMUJu/VJRWVkJN27cgAkT\nJrAGLTo6OsI///wDnz9/Fttfbm4ueHl5iV04tbS0WOmSBYu6kZER4xglJSWwfft2xt13kyZNYPfu\n3YxBkOPGjSOPE1RglAYJCQmkO0NPT4/mahGmNdbT02OMmTA2Nob58+fD69evxY75/Plz6NSpE3a+\ncAordUc6evRoGDJkCPkZ9ffarVs38v+1hQqZDbm5udC/f3/s+qZMmSKV1bKsrIz8TZuYmNR612h5\neTlWkdbCwqJWxpj8aFApCwpEaWkplrveqFEjqQLa6iJOnjxJ0jgLdtmC/1Mr+8mTF6GyspJkgdTX\n15ereycpKQkWLFjAugNt1KgRLFq0SOqyuoJCTtQaBNTWsGFDWl0F6oLapEkTaNKkCbmoUpGTkwOr\nVq1idGF07NgRIiIiRC4I1LoBguqgkoLH40G7du3I8zdv3sx4XEJCAuaW09HRgYkTJ9IqZAqaJDwR\nPB4PgoKCaIqHk5MTaxwJQlWVNalU1GfOnCF/w4JCU7UZlZWVmHUNoaqMGGmK0FEDJ+uCab+4uBhL\nQW7cuLFCaMFV+B9UyoKCwOPxsJ2LiYmJ3MhUaiP4fD4sXboUe2FRTe29e/eGmJgYhSgLAAATJkwg\n+7569Wq1+vr06RMEBQVB27ZtGRcXAwMD8PLyglu3bkmdYieukBNVyaIGGzZt2hRTHK5cuUIqCyYm\nJgAA8OHDB5gzZw6mrAla//79ITo6WiITdX5+Ppna27hxY6nM2ps3bybHbN++vUga7oyMDFocw+LF\ni+H27dvg4eGBWR8EzdzcHBYvXiySyfHNmze09E1ra2sICgqCWbNmYfTiTO306dO0QlO1fbcNABAW\nFoYpStbW1vDw4UOJzj1y5IjCnk1FITc3F0snbd26NXz79q2mxfphoVIWFACCIDCqVn19fXjw4EFN\ni6UwFBQUgJubG/bCHTRoELngaGlpwevXrzFl4a+//pKrDNRAtVmzZkl9viCn38XFhTGnX0NDA9zc\n3ODkyZNS8RcAVP0eoqOjWQs5NWrUCNasWQPnzp2jFaZCqIrngOoaGD16NAAA2NvbA0II6tevD+PG\njaPFT6irq8PYsWPh6dOnUs8HNQhS0qDDtLQ0sq6Cmpoa3Lt3T+w5paWlmKKHUFXZ6vz8fMjOzoZN\nmzYxslyqqanBgAED4OzZs4wKCZ/Ph507d9JcRh4eHpgiwMbf0LVrV8zysWPHDqnnsCbw6NEjrPCX\ntra2RHE8VIIzBwcHJUgqH3z+/Jl8DhBC0KVLlx8+HqymoFIWFACqSVBLS6tW1ItXFF6/fg0tW7bE\ndsRBQUHg7OxMfrZy5UoAAExZWLhwoVzlKCwsJHeijRo1kmg3LAlbYJcuXWD79u3w9etXqWXKycmB\nzZs3sxZyGjRoEFy4cIHctWZkZND87sILmoGBAXz+/BkIgqAFSQoal8sFHx+fatVRCAkJIftbv369\nROcMHTqUPGfGjBkSj0UQBAQHB2MuqxYtWpCxCnw+X6SyZW1tDStXrmTMeEhLS8P828LzeeHCBQgN\nDRUZ6IhQFY8DW7n02oYvX77Qin7Nnz9fbLG12kpwJg4pKSnYs9C3b98fPtOsJqBSFuSMjRs3Yi+l\niIiImhZJYYiKisJogevXrw/Xrl2DPXv2kJ85ODiQD+6tW7cUpiwAALYosO2mCYKAR48eiaxDYG9v\nD8uXL6dVTZQEBEFAfHw8eHp6MgbYWVhYQEBAAG3hES5NrK2tje2YqFaTyMhIxjREY2NjWLFihVwC\naFNTU7FdtjicO3cOu0ZZ6LuvX7+Olag2NDQkC1EJIMqNw+FwYMiQIRAVFYW5hwiCgEOHDtHKXzdq\n1IgMRp01axZ2/5l+F5qamjBlyhSIiYmpdQyPwigvL4dp06Zh8vft21ekmZ5KcBYYGKhEaauPxMTE\nn5LDRplQKQtyRGhoKPZwChfM+VFAEARs3LgR26G1atUK3r59C1++fMEeWmqJ35s3b5KfL1q0SO5y\n7dy5k+xfmEP+w4cPsG7dOswKQm3169eH6dOnw507d2Qi48nPz4ft27czFl5CqKpiYkREBGOAnnB2\ngI2NDTx58gR4PB5tV8zU1NXVYevWrdVi8mOCINhQTU1NZFGloqIiaNSoESnPsWPHZB7z3bt3WJAj\nh8OBwMBA2j2prKyEy5cvg7u7O41YCqGqWIv169fDly9fyHOYOBWMjIzgwIEDGNfAw4cP4dmzZzB/\n/nyMK4LabGxsYPHixfDixQuZr1UZ2LVrF2aNadKkCWswLpXgrFu3bkqWtPqIj4/HLITTpk2rlcRa\ndRUqZUFOOHPmDPbSWrduXU2LpBCUlJTAmDFjsBfn0KFDobCwEAAAPDw8yM+FS/wqWln4+PEj2X/H\njh0hLy8P9u3bx1qrQEtLC4YPHw5nzpyRmU/g0aNHMGXKFMagQnGpfzweD+bMmYOd06NHD9LlkZKS\nwpr+J1hIEarKnFAEFi9eTI514MAB1uP8/f2x3Wt1X9CFhYUwbNgw7FrHjh3LGivy8eNHWLFiBVhZ\nWdHmSENDA0aOHAlRUVGYO0iYMpuq7FCzHyorK2HevHkilTUnJyeJU2ZrArdv3wYzMzNSXn19fTh7\n9izjsQJlmsPhyOR6q2lERUVhytHixYtrWqQfBiplQQ64desW9lL38/P7ITXatLQ0GrHPihUrSJPs\n9evXsZ268G40Ojpa4Q8xtYoeUzQ9Qgi6d+8Oe/fuJYmIpEVxcTGEhoYyxhcghOC3334TSyqUk5MD\nffr0wc6bOXMmWW0yPT1dZLoftVlbW8t0HeJArRI6bNgwxmOePXtGBlZqa2vLLd+dz+fDypUrsevs\n0KGDyNRjHo8HZ8+ehQEDBrAGLgr6+fr1K3h6ejJ+/+jRI5os1DS9Zs2asZJx9evXj5WMqybB9Oyu\nWrWK5k5ZuHAh+f3BgwdrRthq4t9//8Xu/6ZNm2papB8CKmWhmnj8+DG2S/H09Kz1/kxZEBsbi+1O\n9PT0MGrY0tJSLGp93759tD6oysKSJUvkJhtBEHD37l2YOXMma6Bi8+bNYe3atdUK+nv+/Dn4+Pgw\nlm+uV68ezJo1C5KSksT2k5SUhBElaWpqwt69ewEA4OXLlzBp0iTaYqSmpgYjRoyACxcu0GoZcDgc\nOHLkiNwV1MrKSvKe6+rq0pQfPp+P8USsXr1aruMDAJw+fZrMsECoKnVSEh6A1NRUWLx4MWNcipaW\nFowbNw7i4uLg4sWLWPYAQlXkWsLWoKSkJEwpSkhIgJCQEFaFUVdXFzw8PODKlStiAwuVhZKSEvjz\nzz8xOf/44w9Msblz545YBbEugOqSREi0ZUwFyaBSFqqB169fYwvo4MGDyZ3hjwRhv6e9vT0tnY5a\n6va3335jVJhu3LghV2Xh7du3sGLFCpJvgGlR8PX1hYcPH8q8kJaWlkJYWBjG6kdtTk5OsG/fPol3\nkpGRkdjiZ2FhAfHx8XDnzh1wd3dnHKNfv35YsCVBEBAWFkbbPbu6ukJaWppM18kGagrw5cuXse92\n796NKWOKikAXpVyJQ1lZGUYSJdxat24NQUFBtIwVbW1t+Pvvv7GFnprlRC00lZycDEuXLmW1BFlY\nWMDcuXPh8ePHNW5xZIo3+uWXXyAlJQUAxCuIdQnUglscDqdW172oC1ApCzLi06dPWER2t27dpM6/\nr+0oLy8Hb29v7MXn4uJCi6hOTk4mTf4aGhqsAVRUN0VAQIBMMuXk5MCOHTtYmQ91dHRI64K2trbM\nQX9v3rwBf39/RgIfLpcLXl5eEhPeAFTtwqkKlUDRCA0NpaW5UZuoGADh6H6EqvzRO3bskJt16/Tp\n02Tf1HRIUYGsioA4tw0bqIWxLCwswMfHh6TJpjYmtwJCVS4LQfVK4UBO4UJTBEFAXFwceHt7M94b\nhBC0bNkS1q1bJ3OVSHnh0qVLmIXM2NiYTPGePHky+XldruxIEARWi0RLSwuio6NrWqw6C5WyIAO+\nffsGrVq1In+Ebdu2lSlVrDbjy5cvtN20n58fzaRKEARGaS0qcFFWZaG0tBQiIiLA3d2dMc9eTU0N\n+vTpQxYJohYxOnPmjMTjVFRUwKlTpxirMgp2odu2bZP6XhcWFmJsnghVES0xZWZQzea6uroiFxXB\ngmRlZYWlXSJUFZchSU0FcSgqKiIVwYYNG5KKCzWQdfz48dUeRxIwFaKiBoQKo6CgAAt6jIyMBICq\n39PRo0dZlTRjY2Ns562hoQHLli2DsrIyOHv2LPl5gwYNID8/n3HssrIyOH36NPzxxx+ssTM9evSo\nVuxMdfH69WuyYqtAYQoODoYzZ86Qn02bNq1GZJMX+Hw+Rvr1oxPkKRIqZUFKFBcXY7tae3t7qTjY\n6wIePnxIY4E7fPgw47GHDh0ij7Ozs4OSkhLWfq9du0Yeu3TpUpEy8Pl8iImJAS8vL8YYAYQQtGnT\nhrH88OXLl8ljJk2aJPZ609LSYOnSpYwkR1paWuDh4QFxcXEymZDfvn2LKZZqamqM19OqVSvYv38/\nZjIPCgoS2begnxYtWkBeXh5MmTIF65PJlC4LqOmbT548ERvIqmgwpZoy8WpQFYtBgwYx3j9BHApT\n1UrhlMzWrVvD/fv3MbZSSWpn5Obmwp49e6B79+6Mv2NqVo6yyYTy8/Nh0KBBmDweHh5kwHaDBg3q\nfAwWj8fDXHwmJibw8uXLmharzkGlLEiB8vJyrMKbpaUl6ev7USDML29lZcWqiefk5GDFioR92sKg\nKgvLli1jPObly5ewePFisLGxYXyxWllZgb+/P2kaZkJpaSkZF2BmZsZIzlJZWQkXL16EwYMHM+bp\nN2nSBIKCgqpFcHT16lXWipGC1q1bNzh//jzw+XzYsmULpgiJM7ELAmtbtmxJfnbjxg1alUknJ6dq\nlfGlBostW7ZMbCCrMiBciIrL5WJugSdPnpD3lcvlig1sHT9+vMj7RFX2pk6dihWaEs6eEIX379/D\n2rVrsR09tQn4PuLj45UW31BZWYkVeUMIrxD7I+zEv3//jqVQN2zYUO7xPT86VMqChODz+VgksaGh\nocgFq66hsrISy5dHqMpULip3nOrbHDlypNgxrl69yqgsZGZmQnBwMDg5OTG+QPX09GD8+PFw/fp1\niVnZ/vjjD/L8O3fuYGOtXbuWURlRV1eH4cOHw/Xr16u1myIIAjZv3iwyfc/d3R2TKz09naxjoKam\nBnfv3hU7juD41q1bY58XFxeDn58fzZQeEBAgU8Aalb+CatZnC2RVFjIyMqBLly7YvC5ZsgQqKiow\nhktJ6Kqpv+UTJ07A1KlTsUBU4Ua1DnXs2FFqtkBJmETt7Oxg2bJlSqNePnHiBCNfiDgrYF1Bfn4+\nlj7q4OCgdKtYXYZKWZAABEFgdLA6Ojp1ooyrpMjNzcUsJggh8PLyEmkSjY2NJY81MDCAjIwMseNc\nuXKFPGfRokUQHh4OAwYMYAwuU1dXB1dXVwgPD5cpSPHgwYNkXwsXLoQbN27AiBEjRBZykuQaxOH7\n9++srIuampowadIkRhMoVbnx9vaWaCzBi71NmzaM3yckJGAuEISqXBZUJUVSUPkrBMqHpAWmFAmm\nQlTUSoQtW7aUiHCLmvUhYGUsKCiAnTt3slYfpbbqFJri8XgQFRUFHh4ejIs1QlWVL0NCQhS+uD19\n+pRGpa0oHo+aQFZWFpb54uTkBAUFBTUtVp2ASlmQAFRyGHV1dbh48WJNiyQ3vHjxApo2bYotAtu3\nbxdpAi0vL8eC87Zt2ybRWJcuXSLPYQv66tChAwQHB2M0vbLg69evIsdiKuRUHRAEAUeOHKExAyJU\nxcHg7+8P/8fedYdFcbTx9+iIAgIixYK9N8QoigUUo1hiBSWoRIkVNXaNXazYFXsMiih2xV6DiBEs\nqCh2xIqKKL1zt+/3B7n9du727nbv9igmv+eZ59Fjd+a3s7Mz77zzlg8fPrDee/r0afpaa2trzgZv\n0uOiFi1aKLwmPz8fFyxYQAhJIpEIJ02axCtwkGz6cW3k9lAXFEXhhg0bWIXOa9eucarD19eXvkdW\nmKMoCqOjo3HEiBEKI2rq6elx0gapQmZmJoaEhGD37t1Zj8d0dXXRw8MDDxw4oNQ+SBN8+fIFu3Tp\nQrQ7YsSI78Yt/M2bN4RNVpcuXcq1i2hJ4T9hQQWCgoKIj4ZLutfygvDwcCKFr6MHXWcAACAASURB\nVJWVFUZERKi8b9myZbxUsNI4+2wuawDFBmq///67IEZH0kROPj4+rMcA0kROQrmuFRUVYWhoKCFw\nSYuZmRmuWLFCqfdEdnY2sZMLDQ3l3LZUCGrVqpXKa+Pi4tDJyYng5+DggJcuXeLU1pIlS+j7jI2N\nBc9DIQQuX75MCIb6+voq7WikYGonnj59qvC6b9++4fr16xXmjOjSpQseO3ZMkIU1KSkJ165dKxd5\nUVoqVqyII0aM4HU8xxWFhYVy7smurq6CJCkrC3jy5AnhFt23b98yEzyrrOI/YUEJDhw4QCw469ev\nL21KgkAikRCTv3R3yiUFb0JCAr2j1dHRwXv37rFe9/79e1y1ahWhEmYWQ0ND9PPzw8jISEHOvVUl\ncqpXrx4eOXJEsN1RdnY2btq0iTX7oZ6eHi5YsIDTbmXmzJn0fd26deNl1CbVFjg6OnK6vqioCFev\nXk0YsAIUe4wo02akpqYSwccMDAy0tqvVBMwIoUwtyqpVq1T2K9PAkYuNAEVRGBYWRvQLs9jY2OC8\nefMEM6KLj4/H2bNnE3EemEVq+KuJIStbm7LtODg4fDe2Wrdv3yY2SyNGjCj3nh/axH/CggLIJiQR\nMjxxaSIrKwsHDhxITACenp6cdooURRG2DVOmTCH+npGRgcHBwejm5sa6q2f2p7pBmWShLJET0wit\nS5cugrSXkpKCCxcuZA3WBFAcDY/rEcrDhw/pPjE0NOSdEluqdndycuJ138uXL4nYGNLFTVGEO9lU\nxwCA4eHhvNrUNvLz8wkPA9nduLJEVIhI5IngE5+Coii5EMrMoqOjI+hxF9Ol2NTUlLXNZs2a4apV\nq+RcivmCoijWdN0VKlTAI0eOaPwsZQFXrlwhtFHfa14fIfCfsMCCmzdvEovP95Lq9NWrV8ROXyQS\n4fLlyzk/28GDB+l7q1WrhllZWVhYWIhnzpzBIUOGKMzL4OzsjFu3bsWwsDD6N9kU0nyQnZ2Nf/zx\nh5xaXVqkiZxyc3Pp4wFdXV2Ngt8kJiaiv7+/wmcEKPa556q5kE1OtGjRIt6cpALZDz/8wPteiUSC\n27dvl7OxGDRoEBE3hJkrgKmR8PPz492mNsEM7evs7IxFRUVyiagcHR0VJqJiCgt8hTaJRKIwRwSz\nVK9eHZcsWSKIIS0it2Blbm5u+Oeff6ptxMeMVSErOMybN++72IkfP36csA9ZunRpaVMqk/hPWJBB\nfHw8Eap10KBBgp8HlgauXLlC2AyYmpryMtRMS0sjghYFBgbipEmTFKph69Spg4sWLcKEhAS6DqaB\nozrCgjSADtuOSlEiJ2Z64f379/Nu8/79+zh06FCF4YABitXyfBPV7Ny5k76/fv36vIPxUBRF39+u\nXTte9zLx/v17uaA8lStXxr1792JBQQEhXAYGBtLCko2NTZlZKBISEmjDQ11dXUJNzjURlY+Pj9rC\nAiKZaEpV0dXVxf79++PFixcF68OUlBTcunUrOjs7s7ZpZGSEXl5eePr0aV5Hccy08oMHD5bL1Nmn\nT5/vwptg9+7dxHNt3bq1tCmVOfwnLDDw+vVrwo+8a9euJR5RTWiwWYrXr19fqREXG8aPH0/fzzzn\nYxZLS0scP348RkdHs2orzpw5Q1/LNUOhpomcrl27Rl/r5eXFqU2KovDq1avYvXt3ufYMDQ2JXZyt\nrS1GR0dzqleK5ORkQiBVJ6+CRCKh72/fvj3v+5mgKAoPHDhABNiSjhPpv1u1aoVFRUVE9MKyEKyH\noijCVXXatGly13BJRMUMX61umm1moinZ8Nu6urqsR3O1a9fGlStXCuoSmZCQgIsXL2Y1ugUoNmT2\n9/fHmJgYlVrFwsJCOkCTmZkZ5ufn47p164ideKNGjdQSsMoaVq9eTT+TSCTCsLCw0qZUpvCfsPAP\nkpOTich0bdq0wczMzNKmpRHYfNA9PDx45TZITU3F2bNnK9wlGRoa4uDBgzE8PFylPzvTRVCVsKAs\nkVOFChU4J3IqKiqiF2ZTU1OlHMViMR4+fJj1eMPKyoqIAAdQrP5XR6XM3J0NGzaM9/3S55LW4eLi\nolYdsvjy5QsOHTqU9T3HxMQgIqkRKQvBeg4fPkzzkR6NsYEtEdW4cePo8eDt7U3/ztSG8YFsoqmZ\nM2eivb090WaNGjVYgzDp6+vjkCFD8Nq1a4IdeVIUhTExMejv7y8nCEpLvXr1cPHixUqfmSlISZNN\nXbp0iRB4zc3N8fz584LwLk3MmjWLfiY9Pb3v4pmEwn/CAhYb5jENoho0aFDuXYSSkpKIKHYAgHPm\nzOF0pJKfn48nTpzAAQMGsMbMBwDs3Lkz7tq1i5fgwRQWAgIC5P6urURObJMdE7m5ubht2zbWVNe1\natXC1atXY8+ePYnfR4wYoZZvNtNiX5O8CgUFBXQ9HTt2VKsORQgPD5fzmHBxccFnz57hx48f6d+U\nxXcoCWRkZBA7eFUpiBUlokpOTiaEJE1CuDMTTdnY2ODbt2/lDEQNDQ1x+PDhCsd5w4YNcf369XLZ\nXTVBYWEhnj59Gr28vOTerbQ4Ozvjli1b8OvXr8S9hw4doq9h5sJISEjAJk2a0H/T0dHBwMDAcm3f\nRVEU/vrrr/QzGRsbqxXE7HvEv15YyMvLIwKQfA8xw9ni5h88eFDpPdL4BGPHjlWYXtfQ0BADAgLU\njlFw6tQpui6mEZE2EzkhkpPdpEmT6N9TU1Nx6dKlrDu9Vq1aYVhYGD5+/FguM9+GDRvU4pKfn0+o\n9mVV4XzrYgpuQoKZdVD2/a9YsQJbt25N/1aa38rkyZNpHr179+b8TtgSUTG9fFTlkVAFZtIi6eJ6\n9epVuZwdbdq0wbNnz+LMmTNZd/5GRkY4fPhwvHnzpqALcHp6Ov75559KvZb69u2Lhw8fxry8PExP\nT6c3DTVr1iS4ZGZmYr9+/Yj7VXmelHWIxWIcNGgQoTX5XtxFNcG/WlgoKioiBvr3kI3szz//lJsI\nFcVCQCxW98+fP5/VRQoA6MlEJBLxPpuXBVNYWLJkidJETnXr1tU4kZMUzMnOwcEB3759i1OmTGGN\n/d+tWze8dOkSUhSF586dI9wvLSwsWDUTXMG0zm/fvr1Gxm25ubl0Xa6urmrXI4vMzEwiut38+fPl\nNC5MQVSTMMeaIDY2lkgUxSVGCBMxMTHEczBtevjWJYs3b96wJprKzs7G3377jVig9fX1cdGiRZiZ\nmYlhYWFyLq3S0rx5c9yyZYvgxoTv3r3DVatWKYxPYmpqiqNGjSIERNmFUyKRsHqelOdNV35+Prq7\nu9PP8z0mDeSLf62wQFEUkTzGxMQEb926Vdq01EZhYSFOnDiR+GA7deqEX758kbv2y5cvuHnzZrkk\nPExNhLe3N2FZPW7cOI05hoeHE9K6bLtCJXJiA/PDl7Va19HRQU9PT3pSpygKV61aRUzqTZs21Wiy\nePHiBS3E6enpyXlt8EV2djbNrWvXrhrVxQTTe+THH39EiqIwJycHp02bxirUdevWTbC2uUIsFhOu\niitWrFCrHrZEVACaHUNIsWrVKro+2SinN2/eJMKlAxTHRpAajD558gR/++031m/ExMQEf/31V16Z\nLrniwYMHOH36dMLIm634+/uz3s/V86S8ICsrixgftWvXVppY73vHv1ZYYEbO09fXx8uXL5c2JbWR\nkpKCrq6uxAc9YcIEwkUqNzcXDx06hL1792b1ydbR0UF3d3fcu3cvZmZmyp298rUTYEIikeDly5cV\nunUJmchJFhRF4fXr14mzVWkxMjLCcePGEcZdOTk5ckZ+AwYM4JVHgY0D07hu5syZGj9XZmYmXZ+7\nu7vG9SEWu4lKBSkjIyM5o7dbt26x7kC5howWCsyU2Y0bN+aUKEoR2IyA3dzcMD09XSOOhYWFxJgL\nCgoi/p6fn49z584lBFcdHR2cMWMGrcLPzc3FPXv2yIVdZgohf/zxh+Cht8ViMV65cgVHjBih0POp\nZcuWuHbtWrnF89GjR4SWUl9fH7dv3y4ov5LE169fiWRszZo10yheS3nGv1JYkHWRKc/RyB48eIAO\nDg7Exyk9C5dIJPjXX3/hyJEjFUZ7a9GiBa5Zs4ZYqGWtutV1IUpJScHVq1ezunAJnchJFhKJBE+c\nOMEqoOjq6uK8efPkjAvfvn0rF/lvyZIlGms5QkND6fpq1qwpyOSenp5OaAA0hVgsJgxiFQWmKSgo\nwEWLFhFaBpFIhBMnTtRIoOKKT58+EUdDkZGRGtdJUZRcVs0GDRrwiuTIBtnMrMxgV1Lcv39fbszV\nq1cPr1+/Tlz34MEDHDduHGuiMlNTU9YYI0IgJycHw8LC0MPDg3X+kG4yQkJC6Pf/7ds3OePNsWPH\naiTUlSY+fPhAzLHt27cvk7lRtI1/nbDw559/EoO4PEu9hw8fJiJNVq1aFW/cuIHx8fE4a9Ys4uyZ\nWezt7XHmzJkKJxemKrp79+68jKuYiZwUZegTanfNhvz8fNy9ezc2bNhQrk2mZ4fsxH39+nUiwFTF\nihXxxIkTGvNJTU0lDCiFyliamppK19mjRw+N62Pu1rmkdd62bZtc/9asWRMvXryoMRdlYHq2+Pr6\nClYv06BNWszMzDgnolIEZurroUOHsl5TWFiIy5cvl/teJkyYIOe+nZWVhTt37lSYXKpDhw4YEhKi\nlSyK06ZNU/g9AxS7NHt7e+P58+cxLy8Pp0yZQvy9Y8eOWk+xrS28ePGC+I579OhRboUfdfGvEhZO\nnjz5XYT1lEgkOHfuXOJDbN68Oc6fP19uh8Rc/Hx9ffHq1atKd/KqVNGKkJ6ejps3b2ZV9wMUn6sz\ng9aoe86srP3AwEDW89amTZtiSEgIzpkzh/5t165d9L3btm0jjmbq1KmD8fHxgvAaM2YMXe+AAQME\nqROxePcmrdfDw0OjumR361zSOufl5bHm45Au4kK6/Ulx5coVuo3KlSuz2uOoC2a+FKbHCtdEVIqQ\nkpJCRE5VdmTz9OlTIgQ4QLGB8oULF+SupSgKb9++jaNGjWINQW5hYYFTp07llBSLK2JjY+n6O3Xq\nhPPnz5fz8JAWa2trnDx5Mi5atIgQgqpXr46xsbGCcSpJ3L9/n9DQDhky5LuI7ssV/xph4dq1a8Sg\nnTx5crn0B05PT8fevXsTH6atrS2r8Zmuri56eHhgWFgYpyyBXFXRTNy5cwdHjRrFunBYWlritGnT\naHXu8ePH6b+tXLlS475ARPz48SPOmjWL9ZilU6dOePbsWfo93759m/5bnz59sKCggFjMAYrP/4Va\n6G7evEkIa5om9mEiJSWFrrt3794a1cW00eCzWx8wYAB9n6OjI9GPVatWxaNHj2rEiwlZt1OmsCcE\nmM/y7Nkz7N+/P/E8Q4cOVTvTJjOUcL169ZTu+sViMW7cuFHuexoxYoTCcZmWlqZUUHd1dcVDhw5p\nvBOmKIoOMmVoaIhZWVmcXK5r1qxJHJ8YGRnhgQMHNOJSWrh+/ToRp2LcuHHlch1RB/8KYeHevXvE\nYPXx8Skzce354Pnz54TPv6LSpk0b3LhxI2+VX1BQEF2HMlV0dnY27tq1i3CnYhYXFxcMDQ2VmxSP\nHTsmmLDw7Nkz9PPzI9xEpTvB/v37s7p5SiQSOpaDsbGxnD3D1KlTBctpX1hYSORV2LBhgyD1SpGc\nnEzX3bdvX7XruXjxIrEb5eOqGhwcTN87a9Ys3Llzp5zQNnDgQNazer5gplTX1O2UDUzhICkpCSUS\nCS5evJh4FnXdASUSCXbo0IGuh0vSsFevXslFnFSWGRRR9RGgtbU1zp49W6M4EuPGjaPrO3bsGPE3\naTC3gQMHyn2XbGXmzJnlcmd++vRpwjC1LEQyLQl898KC7FlTr169eCVSKQugKAo3b96s9AN0cHDA\nefPm8c75IEVSUhIx0bMZjj169AgnTJjAuos3NTVFf39/fPTokcI2mMLCqlWr1OIZExOD/fv3lwsm\nY2BggH5+firVrszobNJiaGiIISEhavFRBKYRrTSvgpD49OkTXX+/fv3UqiM3N5eIobB7925e9ycn\nJ9PvoUmTJohYbAzGzB8BUHxkEBwcrPYO7OXLlwoTRQkFZrwVpoX/iRMnCI8Add0B1UlHTlEU7tq1\nS+57Gzx4sMo06F+/fsW1a9cSIeyZAnWPHj3wxIkTvMfl+fPnCW2HIqSmpuLOnTvlQqTLllatWnFO\n6V6WwDRaBgBcv359aVPSOr5rYSEpKYmwYu3QoYPaqsTSwLt373D58uVYtWpV1g/N3NwcR48ejVFR\nURrvtDw9Pel6R44cSf+el5eH+/btI3ZGzNK6dWvO7ltHjx6l7wsMDOTMjaIoPHv2LOvEY2pqirNm\nzeLsdilrpGVvby94QiRmUB6RSKSVhEtJSUn0M/Tv31+tOubPn0/X0bFjR7XGEPOMXRqfgKIoDAsL\nk4tK2L17d94BjyiKIhJ6TZ8+nTdHLvjpp5/oNmQ1IWzugDt27ODdBtNmx93dnbPwxCaAWVhY4L59\n+1TWIU2K5unpyeoybW9vjwsWLFCYulsW+fn5tPBkaWnJSTPw+vVrXLZsGavRMcD/45xoEqW1NLBp\n0ybiOfbu3VvalLSK71ZY+PbtG+ET3qxZM41iBZQU0tPTcffu3dilSxfWUKwikQj79OmDx44dEywj\nJnO3YGVlhV+/fsUXL17gtGnTCOMsaeGTyIkJvsJCYWEhhoSEsPr229raYmBgIGd/eLFYTEzW0klf\n6NgOFEURE7uiADaa4sOHD3QbAwcO5H3/06dPae8QPT09tQ06V6xYQfOQPWpJSUkhEjQBFAcV2rRp\nE2fBhBmqu3r16lpzz2QKC2w7XTZ3QGYiKi7Izs7GGjVq0PerCsHOhKLMoB4eHpwX+k+fPuHy5cuJ\nDRRzwe7bty+ePXtWpQDA9Bzho2WhKApjY2Pxt99+U2jfINWQCmmYqU0sXLiQ5q6rq4vh4eGlTUlr\n+C6FhezsbOI8ulatWmU68pY0yYunp6fCJC8AxUcoQie4ysnJISyaJ0yYIHdWKi1NmjTBoKAgtQPW\nHDlyhK5r9erVCq/LysrC9evXE7EepKVBgwb4xx9/8BKUUlNTiTTGzCLNpigUmEactra2Ggf3UYR3\n797R7QwePJjXvRRFEflQ5syZozaP+Ph4uh5FkSRPnz4tl32xQ4cOKo/MZBNFCeHKqgjMfA6K1OLK\nElFxhWywM77j48uXLzhkyBCCQ6VKlXD79u2cBTCJRILnz5/Hn376idUwumbNmrhs2TKFtiYhISH0\ntepqeoqKinDPnj2sUSqlxcnJSS3bq5IERVHo7+9PczY0NOTkTVQe8d0JCwUFBcTCULVqVbVTzmoT\nXNLHSouxsbHKjHrqgulOyGYTYWBggD4+Pnjjxg2NVYTMdMJswkJycjLOmzePddfRrl07PHHiBG9V\n+ZMnT4hzW11dXWK3O3fuXI2eiQnZvAqHDh0SrG5ZvHnzhm7Hy8uL17179+4lBGlNjuYoiqKFTT09\nPYWLX3p6upzniYGBAS5btkyhDdGkSZPoa/v06aNVFTVTG6RqcWJLRKUs/4osmIKJupqn8PBwQpAC\nAOzSpQvvue79+/e4aNEiOWFO+j4HDRqEV65cIb67r1+/0kJG/fr11eIvRXZ2tpzniWzR1dXFnj17\n4oEDB8rkMbJEIiHif1SqVKncuocqw3clLEgkEsINzMzMDB88eFDatAi8evUKFy9ezGp4BFDsYsc8\nfqhdu7ZSo0F1IRaLMSgoiPWoA6A4kdOaNWsE1WQwhYU1a9bQvyckJOC4ceNYtSq9e/fG69evq7VQ\nnDp1ivCCsbKywoiICPz8+TP93M2aNRPs+ZhBaHr06KHVxS0xMZFuS1GwHzZ8+/aNEE7Pnj2rMRdm\n9kdVqvWIiAi5xFQtW7aUW2w1TRTFF0x3ZC7xG2QTUXHJ7CqFbKIpvsd5UqSlpeGoUaPkNhZr167l\n7WVQVFSE4eHh2LNnT9Y5oV69ekRiN6b9kKZHBhRF4bJly4h2FWlYK1asiMOHD8fLly+XKU+KwsJC\n7NWrF82zSpUqGkcALWv4boQFWXWQkZGRXMjU0sK3b99w27ZtCo0EjYyMcNCgQUSaXIDiJD1CB7f5\n+PEjBgQEsKr4Fe0khALz/HnNmjUYGxuLnp6ecqpQPT09HD58uNpCEtvk06JFC2LBYcbb1zQlMWKx\ne670OYyMjLSeoS4hIYHm//PPP3O+z8/Pj75v0KBBgnBhBkviwiUnJwenT59OvHddXV2cPXs25uXl\nySWKEiomhzIwJ3quAjJbIqrZs2dzWsSYiaZat26t0cJ3+fJlOTuEtm3bqm2H8vr1a/z9999ZDaul\nKeMnTJhA/8bHWFkZTp8+TQj35ubm6O3tTdh5MIutrS1OmzYN79+/XyYMI3NyctDFxYXmV6NGDc72\nJOUB342wwPSJ1tXVxVOnTpUqn/z8fDx27Bj269ePCDMsLSKRCF1dXXH37t344sULOUFiypQpgrnb\nSRM5DRw4kNUiWk9PDxctWqR1uw6msMCmWTExMcEpU6Zo9IFlZ2fj4MGDiXoHDx4s562xfPly+u8b\nN27U6LlkF7fly5drVB8XvHjxgm7Px8eH0z03btyg76lUqZJgxp0FBQW0e1/lypU5j9vbt28TsSgA\nitXaTA1NkyZNSsTVmZn74OvXr5zvy8vLQ19fX+IZPDw8VNoiqEo0xRdZWVk4adIkQkA2MDDAgIAA\ntfuvoKAADx8+rNCGiSmYCAW2Y8NNmzZhREQE+vn5EZFGmaVp06a4cuXKUl+c09LSsEWLFjSvhg0b\nCm5nVlr4LoQFZlx7gNJzYZFIJBgVFYWjR49WaLjTpEkTYlDfuXOHOOc2NDQUjL+yRE7MwhZOVmgU\nFRURZ9DMUqVKFVy6dKnG2dxev36NzZs3JwSy5cuXs+46uBjmccWWLVvoujTNgsgVz58/p9scPny4\nyusLCwsJr5JNmzYJyofpesvHwKugoAAXL17MKlADQIlpB3v27Em3yVebR1EUbty4kQjU06BBA5Xq\n+aioKPp6U1NTQYT1GzduyAVua9GihcZn6M+fP1foHQVQfBR269YtQXb4aWlpcgbJo0aNwvz8fMzL\ny8MjR47gTz/9pHITpi3jYlX49OkTcdTm5OQkl+OjPKLcCwsHDx4kpOm1a9eWOIdnz57hvHnzWF2S\nAIqtnqdOnYr37t0jPqbQ0FDibE4In3+KojAqKgp//vlnVoNFGxsbYjfn7e2t6eMrRU5ODgYFBbHG\nkK9Tpw5u27aNTsmrCSIiItDS0pLYOZ8+fVrh9VwN81Th48ePRNCcklrcnj59SrfJJUSzkGpvNjCD\n1EybNo33/fHx8XIqfRMTkxIRZBGRWJzUFVqvXLlCLKZcElGNHDmSvn7IkCFqtSuLvLw8nDNnDiG8\nMI95NK07NDSUULczS6tWrXD79u0aL45isRhnzpxJ1O3s7EwIVF+/fsWtW7fK5dOQFiMjI/T09MRT\np06VeNKnxMREIk+Nm5ubVpJ7lSTKtbBw8eJFQrrUxAWML5KTk3Hjxo2E+plZKlSogD4+Pnjx4kU5\ntaxYLMbp06fLfQiahMVVlcipW7duePToUbx06RL9m7m5udaip339+hUXL16s0NNjxIgRgixY0uiW\nzImxXr16+OTJE5X38jHMUwQvLy+6DmYwK23j8ePHnNt9/fo1nWxIR0cH7969Kzifb9++0e9AXQv5\nCxcusI6V4cOHayUxFRNMYUGTeCyvXr0iNDiqElHxSTTFF7GxsYRKXKrxuHHjhiD1y0YxZJaKFSvi\n2LFj8f79+xq1ceDAAWJDZWdnh7du3ZK7LiEhAZcsWaLQcNzS0hInTJiA0dHRJWbf8OjRI8Kzq3//\n/oJHci1JlFthITo6mki28uuvv2p9EEhzu/fq1YtYnKRFR0cHu3fvjvv27VMYPCY1NZWISAfwfxWb\nOlCVyGn69Ol0aFnZZDzaSM/95s0bnDx5MisfpkZDiPCo+fn5ctbgPXr04DzZX716VSMNC3Nxs7S0\nLNGzyUePHtFt+/n5KbyOoijCeG/ixIla46SJhXxeXh4x0ctG+7O2tsYjR45oiTkSxsWaBm/Lysri\nlYiKmWiqbt26gu5ACwsLcenSpYSWUSQS4cSJEzUOcCUWi+lQ+gYGBujk5MS6ULdt2xaDg4PVdnuM\njY0lDLKVHdVSFIW3bt1S6pJep04dXLhwIb58+VKTx+eE6OhoNDExIQT7smCMqQ7KpbDw+PFjQhof\nMGCA1txoxGIxXr16FX19fQlLXWZp1aoVrl27VuWZ4+PHjwn7AT09PQwKCuI9eLKystRK5MQ0AnV2\ndhbU4yEuLg59fHzkhCgdHR0cOnQo3r9/H/fv30//rmlipY8fP8olgpo1axavcVBYWEgbTJmbm/My\nBMvNzSVCAAcHB6vxFOojLi6Obnv06NEKr2Pm47Czs8OMjAytcVqzZg3dlrKgW2xgjs0OHTqgWCxm\nzYswYMAArRjiMgV4Ic66+SSiUifRFF88fvxY7pjHwcFBY00G8xjlzJkzGBsbi6NHjyYWSGkxNzfH\nSZMm4ePHj3m3k5ycjB07diTqU2UEXlhYiGfOnEEvLy+Frpjt2rXDoKAgrQr6ly5dIjTg06dPL5cC\nQ7kTFt68eUMEEHFzcxMs7DETDx8+xJkzZ7IGKwEoDj07e/Zszu5JJ0+eJBLSSH3++XJSN5HTixcv\nBE/GQ1EURkREEMZh0mJsbIz+/v6EWyJTWNDEA+HWrVvEeaAmKW+Z0fD4vI+5c+fS93Xu3LnEP/77\n9+/T7Y8ZM4b1mszMTGL8anNnjkgaXXbq1InzfbKJoh4+fEj/7cOHD0QQI+mi8+effwra5+7u7nT9\nQgpUbImo2OxamImmDAwMOCWa4guxWIzr1q2jj6SYu111tSnMiJRMoTUjIwO3bdsmdwzCHB/79+/n\nNXcXFBTg2LFjiXq4updnZGRgcHAwurm5scaR0NPTwz59+uDhw4cFsaGSvm9qoAAAIABJREFUxeHD\nh4l2V6xYIXgb2ka5Eha+fPlCqNGFtjJNSkrC1atXKxzgpqamOHLkSPzrr794hVaV3WG0aNEC37x5\nw+l+VYmcnJycVCZyoiiKcH+aMWMGp7YVQSwW47Fjx/CHH36Q42NhYYELFy5kDWzDPONUV1jYu3cv\nkX63evXqGp3BHzhwgNipcMGTJ0/onYK+vj4n+wihce/ePZr3uHHjWK9hhibu2bNniQg00u9TV1eX\n0yQumyiKbWxSFIUHDx7EKlWqEGPN3d1dsGBNzLwPQluuyyai0tPTYz0CZBr08Uk0xRcJCQno6upK\n9KWtrS2ePHmSd105OTn0rt3W1lZuXqQoCqOjo9HX15d1d29lZYUzZszgdSSwfft2wgWcb+C69+/f\nY2BgoJzbruw8HxERIaj2defOnUQ7O3fuFKzukkC5ERYyMjIItXuDBg04RVpThczMTNy7dy9269ZN\nocTZu3dvPHToEG+JMysrCwcMGEDU5+npySlDozJXpQoVKqCfnx/nyG/MRbpmzZqc2mdDXl4e7ty5\nkxDYmPVu2rRJad1MHnxd94qKigj/e4Di4xZN48anpqbSE0+dOnU4ZfFjns0LGS6aD+7evUtzmDBh\ngtzfmREQjYyMBAk8xQXMrJ6hoaEqrz948CAh+Ck7R09JSUEfHx9iDJiYmODGjRs1PoZkCtPaSFbF\nlohq7NixhJW+bKKpsLAwwXlIQVEU7tixQ+5o1cvLi/e8ygyVrcybKzU1FTds2ICNGjViXaSlRthc\njgOjoqJoewnpOFAnJH5cXBzOmDGD0FQyS7Vq1XDWrFmCRdFlJl7T0dHRurZPSJQLYSEvL4+QhKtV\nq8Z69scVRUVFeP78efT29mY1xAMoNsrZvHmz2gLJq1evCMlVmc+/FKqCoDRt2pR3IqfU1FTio1Lm\nTqgIaWlpuGLFCrSxsZHj1Lx5cwwNDeX0ge/bt08tYYHLRKsJ3Nzc6HpVnacGBwfT19apU0crKksu\nuH37Ns1D1mhRLBYTxmYlESRKisjISEIwVob09HRiTHHd2Z45c4aITQIA2L59e400PMwxoK4wrQps\nAm/Hjh0JgTc8PJz+mzqJpvji/fv3hAEsQLGx7v79+zlrNnbt2sVLeKYoCiMjI3Ho0KEK3bvnzp2r\nUvv67t07dHR0JO5duHChWtoAsViMV65cQV9fX+LYiFlatmyJa9as0SiYGUVRhECtr68vqAeMNlHm\nhYWioiLCstjCwkKtSYGiKLx79y7+9ttvrGFMAYqT6syfP1/jmN6y/tampqZ45swZhdcrC69qaGio\nUSKn0aNH03UNGDCA170fPnzA6dOnsxp2urq64vnz53lxYgoLmzdv5nQPmwp327ZtvJ5DFTZs2EDX\nr+wsMSUlhYjlUFIxANgQExND85g0aRLxt6CgIPpvJRUkSoqioiLaXczU1FRp2xMnTqR59u3bl1c7\nGRkZOG7cOGJMGhgY4NKlS9WKWMgUFrSdrGjPnj1yR2nM3BhCJJriA4qiMDQ0VE6L2bt3b/zw4YPK\n+z99+kRrZZs2bcqr7S9fvmBgYKBcvhDpBsvDwwNPnTqlUHOUk5Mjlwa9X79+Gh0lcfF6c3d3x717\n96rVDkVR+Msvv9D1mZiYCJ79VhsoE8KCIkmQoijCNU6dTn3z5g0uW7ZMoeqrcuXKOHbsWJWLMRdp\nlaIoXL9+PTHA6tevz+pGJhaL8fTp0+jh4cF6/KFOIidZjjdv3qTrq1ixIr5//55TPU+ePMFffvlF\nLkKaSCTCgQMHsvo5c0FiYiKt8ueS4Ov48eOEVXWVKlW0EvQoMTGRfgfMhVe2P5ljkW+mR6GRnZ1N\nT+7M1M2fPn0qlSBRTAwfPpxuX7ozlu1L5jFJhQoVONvwyOLatWtyEUrViVi4ZMkSBCi2ASoJ2w62\nRFTSYwdmoimRSMRqk6ON3C3JyclEJE6pwLdr1y6VfSINjGRpaakWR2ZIerYFulq1arh48WJW4YWi\nKAwMDCTm0SZNmvDKwKmIa3JyMm7atInVPkv63ry9vfHcuXO8YigUFRVhv379iHVIlbG8Nt45H5SK\nsBAbG4v+/v7Y2tGRlrANDQ2xtaMj+vv70x86M30yH3VNWloa7tq1Czt37sz6gg0MDHDAgAF44sQJ\nhda4XDlKkZeXhyNGjCDa8fDwkLMyFjKRkyqOzPNdLgaFf//9t5zlubTO0aNHq22hTfD8R+2orC8l\nEgkuWrSI4KDI7Uwo7Nq1C93d3XHYsGEK+1OqnhQqNK86IN+5fF8GBATQfVaSQaKY+Pz5M/7444/Y\noUMHhX3JTFe9atUqjdrLzc3FmTNnyiWmmjVrlspjImZ/GnAYm0JCWSIqZsTNhQsX8p6PNMGJEyfk\njhy7du2qNDlafHw8urq6oru7u8YcP378iEuXLmVNIKWrq4v9+/fHCxcuyM2R58+fJ3JHVK5cWeGa\noU5/Pn/+HBcsWEBoOpnF2toaJ02ahHfu3OEkcObl5REaLTs7O8JgtyTfOReUqLDw8uVLdO3SBQEA\n7a2r4AiPbrhu8hj84/cpuG7yGBzh0Q3trYstnp2d/58VUCQS4aFDh5TWXVBQgOHh4Tho0CBCxccs\nHTt2xB07digN58qHo2uXLvjy5UtMSkqSkzznzJlDq84kEgleunQJBwwYwCo116hRA5cuXcp5AeLD\nsaKJidI4FBKJBE+dOsXqbWFmZoZz5sxRO7KkOn3JN6CNEODbnzt27NAaFyE4mpuZoYuLi9ajHmrK\n07RSJezXr59giaLu3LnDmpiKTbuiztjUBhQlokpJScHhw4djgwYNsO0/c0tJ8kxNTZXjVaFCBdyw\nYYPcXKKtvhSLxXjmzBns06ePXGZagGIviJUrVxI2Hy9evCC0yDo6Orh27Vp68RaCK0VR+Pfff+O4\nceMU5spo0KABBgQEqDQszszMJOyLfH19y8zYlEWJCQv79+9HY2NjrG1vh8dWzMfCqLNIRV+QK4VR\nZ/HYivlY294WdXV0UFdXV2GkQalbzvjx44mzZNmXtnTpUk7W4Pw52qGxsTER3pWZ117VeVzv3r3x\nzJkzvCy51eUoG4egoKAAg4ODsXHjxnLc7O3tcc2aNRr5m6vLkxlJTyQSYWBgoFbVwkL1pzZRHjiW\nFZ4FBQUYEBAgZzg3fvx4WstQFngywZaIavTo0WWC54ULF+R2+M7OzvQCVVIc3759i/PnzyeObqRF\nX18fvby8MCIiAimKwoyMDMJDA6A4jLY2uBYUFODJkyeVblJdXFxw+/btCjepKSkpdAK8AQMGlPo7\nVwQRIiJoGQcOHAAfHx/w+dENts6cCCbGRirvycnLh3GBm2H/xb8gNDQUvL296b8lJCTA/v37ITQ0\nFBISEuTurVKlCgwdOhR8fHzAyckJRCKR1jiOD9wMoReuAgJAjRo14OTJk5CdnQ3bt2+Ho0ePQmFh\nIXGPjY0N+Pn5gZ+fH9SsWVNlG4Jx/Kcf+/TpAzt37oT169dDUlIScW2jRo1g5syZ4O3tDQYGBry4\nCckTEcHMzAzCwsKgZ8+eavPQNk/Zcflv5VgWeT558gRGjRoFMTEx9G9z586Fxo0blymeTFy9ehU8\nPT0hNTUVunTpApGRkWWCZ1ZWFsyZMwe2bNlC/9aqVSuYPn16ifdlUVERnDlzBrZv3w6XLl2S+3uD\nBg1gzJgxMGzYMNi4cSMsXboUAABmzJgBa9as0SrX9PR0OHr0KISGhkJkZKTc3w0MDKBXr17g4+MD\nvXr1AkNDQ/pvEokENmzYADNmzCgT75wNWhMW0tLSwN/fH06dOgXZ2dlQt5odxO4JgkomFRTesyv8\nPIRdioB7zxMgKzcPvl08ApPXbYOjkTfh+vXrcPv2bQgNDYXo6Gi5e42MjKBfv34wbNgwcHd3B319\nfc48R4wYAadPnwYDPT3w6eEGG6eOV/ii0jKzYOEf++DyrXvw/ksKWJmZgrGRIbz+lAwBAUth7969\n8OTJE7n7unXrBmPHjoW+ffty5ibF8uXL4dixY3Dv3j0w0NeD3GunQEdHR+H1YrEE5u7YAxei70Di\nx89gZmICRgb6kPQtDczMzODLly/E9R06dICZM2dC7969ldarCnz7EgBg7KpNcPXOffj4NRUqGhuB\noYE+JKdlwPXr16Fdu3Zqc1GE5cuXw9mzZ+H+/fuQl5cHw3p0heD505Q+9+LdoXDociS8/5ICBnp6\n4NigLhjo6cG1uMfw8OFDqFu3ruA81elLJnpOmQsXY2LBwMAAHj9+rBWOb9++hYCAALh48SJ8+PAB\nKlUwht+G9Id5v3iDvp5eqfOUSCQQFBQEv//+O+Tm5kKlSpUgKysLjA0NYKCrC6yaMApsrSxLnScT\nc+fOhUOHDsGrV684fesAACOXroW9567Q/0dE0NHRgefPnwvKMyoqCoYPHw5v3rwBQ0NDKCgo4PzO\nXcfPgOsP4v//AyLo6OrCs2fP1Ob46tUr2LVrF/z555+QkpJC/M3Q0BC8vLzg1atX8OzZM/j27Rvn\n9y4E17dv38KBAwdg37598PTpU7m/m5ubg6enJ/j4+ICLiwskJCRA8+bNwVhfD9Kzc+B+yBZoXre2\nVjnyhforAwvS09MhNzcXAAC8vb3h6dOn0KB+fbCvYgUIAONXb1Z6f15BAfRwbgO/+w4FkUgEOjoi\n2DpzIthamEOnjh1hwoQJhKAgEonAzc0NgoODITk5GcLCwsDDw0PlYizLMyIiAuytreDsuqUQFfcY\nxq7aqPDej1+/weevqbB28mh4tH8H7FkwHSQSCvR1deH3OXMIQcHS0hKmT58OL168gMuXL8PAgQM5\nCwrp6emQk5MDAMXSdGZmJphVNAETIyOVk0duQT7EvXwFC0b5wL29W+D4ygVgYWYKSFHw7etX+jp3\nd3e4ceMG3LhxA/r27auWoKBJXwIAODWqB8Hzp8HTg7vg4sbl0LxubUCKgjmzZ9PXvH//njcvWY7M\nvvT09AQrS0vQERWPL1XP3aBGNQiaPgEe7d8ON3auAwc7G7j56AlYm5nB6F9/FYSjlKcmfSnF+rDj\noKejCzo6OlC5YkWao5A8c3Jy4NmzZ4CIYGlpCTVsrGH33Kmw8+R5mLt9T5ngmZWVBX5+fvD69WuY\nNGkS1K9XD2raVIUzawMgMekzeM5dViZ4MsengYEBiEQizt+6FD2dneDz2TD4dCYMEo/tgRpVrQXl\nmZ6eDo6OjrB582bo3bs31K9fj9c7F4lE8OtPPWmOr47tgerWVTTiWKdOHVi5ciW8f/8ewsLCoEuX\nLvTfCgoKICQkBLKzs8GhZk1e710IrjVr1oQ5c+bA48ePITY2FqZMmQJVq1al/56eng47d+6ETp06\nwdy5c2HM6NFgqKcLPzRpyEkTro3+VAWNhQWJRAJnz54FLy8vsLOzoyW5ixcvwrRp0yD23j3YNHUc\nBE0bDwevRMLnb6kK65rk2Q9m+gyGto0b0L+ZGBtBoP8oyMvPp38zNjaG/v37w6NHj+Dq1avg6+sL\npqamavPMzs6GTVPGQdc2LWHT1HFKeTap7QCHl88Dj/Y/QC07G+ji2AKWj/sFiorEIKEoAABwcXEB\nHR0daNmyJbRo0QLs7e3V6svExEQAAOjduzckJCTAsB5dOdVjamICFzYsh4GuLlCvuj380KQBbJ3h\nD2JxMcehQ4fC48ePISEhAaZPnw7bt2+H9PR0TnWz8VS3LwEA/Pr2BJcWTaGGjTW0rF8HVoz7BSiK\ngmuRkXDv3j0AAKhVqxZ0794dQkND6cWUL0dpXy5cuBBcXFzg/YcPUMHIkNNOfYh7F3BzagkOtjbQ\nyKEGrJs0GjJz8+CX3t0g4to1uHfvHnTu3BmcnZ1LtS8BAOJeJsLGwydh99ypgIjg2+v/HAHU60s2\nnomJifDjjz/C+PHjIS4uDtZPHgOD3DrCNO+BcOLa3yrrK0me1tbWMHz4cIi9dw/WTR4Nrq1bwKxh\nnhDz+BlIJJIywxOA/7cuhaG+PlSpbA7WFubgYGcDayb5ETzVGZ9sHHv37g2LFi2CR4/ieb/zCkaG\nSjmq25eGhoYwePBgmD59OvTo0QP09PTo9cDR0VGt9y4UV5FIBI6OjrBu3Tp4+/YtLF68WO74+cKF\nCxBx7RpUqmAM6yePAa7Kfm31pyKoLSw8evQIZsyYAdWqVQNfX1+wsrKCa9euQbNmzSA6OhoqV64M\nMTExUK2qNfRxaQfd2rQCEYjg1uPnvNvq6+IMtlaW8MMPP8DFixdhwYIF8Pz5c2jTpg14eXnBuXPn\nFL58VTwNDAxojgCgFs/07Gwwr1QR7K2rwMiRIyEqKgqePXsGzs7OMH/+fLC1tYVRo0bB9evXeXME\nANizZw9Uq1q8mKqL9KxsEOmIwNbKCiwtLaFx48YQFRUFP/30E2zevBns7OxKvS9z8vLhzzOXoLa9\nLdhVsYLg4GAAAHj69Cm0bdtWkL4EKO7PyqaVOKvKmSgSi2HHyXNgXtEExvbvDfbWVSA4OLhM9GVe\nfgH8vHAlBE2bANYW5gAA8EPjBjRHvn3JpT+lY1PKMz07GyxMKyntw9LmmZqRBQcuRUCHZk1AV1e3\nTPLk+61fu/cQbDyGQCMvPxi/OghcmjclePIZn9p45wAABy5GgHVPL2j+81j4fVswuLdx1Kgv2bjW\nrl0b/v77b/j8+TO8efMGKlSowPu9C81VytHBwQE2b94MvXr1goiICAgNDYXZs2dDrVq1QFdHB46t\nWADGhtxtxbTRn8rAa7ZMTU2F0NBQ+ly+Z8+esH37dujVqxfoMSbez58/g7W1NUTfvAldWzcHPb3i\nF2NhWknlzoiVpJ4uuLdpBU++pEH37t2he/fuMHv2bIiNjYWQkBD45ZdfQE9PD7y9vcHX1xdsbW05\n8xQBEBx1dXV58fyangHLgsNgdD8PePf5CzyMiwMAgHr16kFAQAAEBARAZGQkhISEQN++fcHS0hKG\nDx8OP/30E1y/fl0lRwCg+1FXTXuCgsJCmLMtGLzdXUEkEkHMP0c59vb2MHv27FLvy23Hz8CsLbsh\nJy8fGjlUh4sbl8PiP0JpnkL2pbQ/GztUhyev33Huw7N/34KhC1ZCbn4B2FlZwKVNK8Dawhy6tm4B\nMdHRZaIvp2zcAR2aN4HeLm3p33R1dWiOXPpyxIgRYGpqyomntC+lPBPef4QtR0/D2kmjlfZlafE0\nNzGGyt0HQm5+ATg3bQSn1ywukzz5fus92rWBAV1coJZdVXiV9Al+3xYMP81cBG6OzTl/6/3794e7\nd+9q7Z17/+gKNW2qgp2VBTxMeA2ztuyGl++TePelg4MD53WoZs2aEBMdzfu9C8GVz5xkZmYGLerW\ngjaN68PbT8mc3rmQ/ckVvISFzZs3w+LFi6FTp06QkJCgUr0e//gx/NzRl/4/AnI6j2FDi3q14dBf\ne4nfWrduDa1bt4Y1a9bAnDlzYN26dXD16lX46aefOPMsKCyEFvVIKZ4rz6ycXOg9bQE0re0AC0f9\nDJsOh8txBChWAXbu3Bk2bNgA48aNg8WLF8PBgwfh+fPnnDjK9iMfiMUS8Jy7DEQigC0z/GFX+HlW\njqXZlz4/ukH3Hxzh07dUWHvgGHjOXQaeXTvBob+i5K7VtC8BivtzQCdnXsKCW+uW8CBkK3xNz4Rd\np86D59xlcGv3xjIzLk9FRUNEbBzcD9ki9zc2jgDsfRkXFwctWrTgzFM6NpO+fAWPqfPAs2snGNnn\nR4XXlybPeb5DwKtrZ3j7ORmW/Lkfhi9eDafXLilzPPl+657dOtH/blLbAZrVqQV1B/0CjvXrwqP4\nG3LXs43P0NBQSE5O1so7Byg+bmRytLG0APdJc2D2ME/O33lcXBwcP36c1zrE970LxZXrnLRp0ybI\nysoCb98hAFD8jXOBkP3JFbyEhTFjxoCBgQHs3bsXGjVqBAMHDoRhw4aBq6srMYnZ2NjAly9foKCg\nAEz/8X6QSCSQlpkNVS0q82mShllFEygoKACKomijn+fPn8O+fftg//79kJmZCWPGjIGRI0dCtWrV\nOPG0trYGRKQ58uGZnZsHPX6bC+aVTODYyvmgq6vLyhEA4N69e7Bv3z4ICwsDHR0dmD59OvTt2xei\noqJUcqQoiuhHPpAKCu+Tv8LVoJVQsYKxQo6l2ZeVTCpAJZMKUKeaHbRt0hAsug+CV0mfBO9LZn8a\n8VD3AQAYGxlCbXtbqG1vCz80aQANPEfB7tMXoYq5WZkYlxGxDyHx4ycw7zaQ+H3gnACoV82ec1+O\nGjUKzMzMOPGU9iVFUdB14ixwadEEdsyerLQfS5OnraUF1K1uB3Wr20HDmtWhRr9hcOvxM2jbpGGZ\n4qnOt85ELTsbsDI3hZz8fM7fet++feH+/ftaeedsaNukASAi5BUW8upLAO7rkDrvXSiuXOekv/4q\ndhWfFfQHzN6ym/69zS+T4OcfXeHPedO03p9cwUuvbWNjA3PmzIFnz57BpUuXwMjICAYNGkRbfko9\nAZydnSE9PR309fUhM6fYsOLq3QeAgNC2SQNlTShERnYOGBoaQlpaGgQFBUG7du2gWbNmcP/+fQgM\nDIRPnz7B1q1bwcnJiTPPDh06AAAQO0wuPLNycuHHyb+DsaEhhAcuAoN/PBykHHV0dODDhw+watUq\naNq0Kbi4uMDHjx8hODgYPnz4AIGBgeDi4sKJo46ODhgaGtL9yBVSQSHx4ye4snklVP7nTJHJ8du3\nb6Xel7KgKAoQEbJycgXvS2Z/5hcUKmHBjWdBYVGZGZdzhntB3L5t8GDfVroAAGz4bSwMdHXh3JcN\nGjTgzFNHRwcMDAxg1b7D0KZRfdg9d6rKfistnrLfkNQYuaCwqEzzVAcfvqTAt4ws0NfT5fyt9+jR\nQ2vvnA33n78CkUgEuv88M9e+BOC+Dqnz3oXiynVOCgoKAn19fZjmPQge7NsK59YFgEgkgkNLf4el\nY3xLpD+5QuM4C4WFhXDy5EnYs2cPXLlyBe7fvw9NmjQBDw8PiIyMBNeWTWD28CEwavk6+KFxAwhZ\nOFNhXcmpafD5WxrcefocxqzcBJHbVkOlChWgRtUqMGXDDnjyJQ3S0tPB2NgYfH19wcfHh3BHUYen\nmZkZ6APCufVLobBIrJJndm4euE+aA/mFhXB85QKoYPT/wBozN/8BT1PS4c7du6Cnpwdt2rQBX19f\nGDJkCJiZmanNsXmzZuBgbgKtG9aHdWHHIHLbGgAAqFvNjtWaXyKRwMA5AfDgZSKcXr2YNs4CAJix\naRc8+5oBd+7ehbp165ZqX77++BkOXYmE7m0doYq5ObxPToFV+w5BdPwzcGvdAhLTcwTvy/fv38OP\n3buDoaQQEj9+VtmXufn5sGzPQejbsR3YWlrA14wMCDpyGg5diYS7ezbDqpDDZWJcskG3fU84sWoB\nHI/4G558SVO7LxXxtLCwgFq1aoFFRRO4E7wZdHX/v/fgo0HUNs/c3FwYOHAgtKxpB5unTYCEDx9h\n4a4QSEnPgEf7d3A2dNU2T3W+9Zy8fFi8OxQGurqAjUVlSPjwEWZv/RNy8vLBqWE9jb51od55YtIn\nOHApAjzatwFLU1OIS0iEaRt3Qg0ba6huXUXjvlTEVZ33rk2uit65U+vW0NTGAoLnT4e3n5Kh9kBf\npXEWSqI/WSFkOMhPnz5hVlYWIhYnc6pfvz6KRCI0r2iCo/r2wOyIk0TISpFIhHvmT6f/v9DPB0Ui\nEero6BBl99ypaG9dBf39/TVOHy3L89dff0VjQ0M0NamA5pUqquQZsSVQjp+Uc1VLCzqlrKY8mRwb\nNmxIxzlnlmtbV9McHWyr4iK/YUhFX8DXx/cq5GhlbiYYR1mefPsy6fR+9GjfBm0sK6OhgT7WsLFG\nnx5u+PjATvp9C8GTydHX15fOTselL/MiT+GALh2wmrUVGhkYoH0VK+zXqT3e3bMZC6POlplxyVZ0\ndHTw2Ir5gvYlk+eePXvk+lI6zsoSz0ePHmG1atVQRyRCY0NDrG1vi+MH9sGk0/vLFE9E/t967rVT\n+GPb1ljVovgbqmVng2P698KkUwe08g2p887fhe/Dzq2aoZW5GRobGmL9GvY4a5gnpl48KnhfMrmq\n895Liivznfv7+6O9dRUsjDpLz90P9m0tdY6y0Gq453v37kHr1q3h2Ir50L9LB+Jvrz9+hkZDfoXH\nB3ZAnWp2Sus5fu0GDJqzFGJjY8HR0bHEOPLhWZoc8/ILwKqHJ5xfvxQ6tWrGUoP2OXLhWRb6UhVP\nrn2pbZ7fQ1/+x1N4nmXhWy8vfVleuJYHjgBaDPcshZurK7x9+QLi9m0l1Ghbj52Gp2/ew+Zp45Xe\nn5OXDy2GjYea9erDXxERJcqRK8/S5nju5m3YfvwsnFLiElQSHFXxLCt9qYwnl74sKZ7lvS//4yk8\nz7LyrZeXviwvXMsDR60LC9KY14M6t1cZg18WFEXBLwFr4WjkTa3F4P+P4388yyrP8sDxP57/Tp7l\ngaMU5YFreeCou2jRokVaqfkfWFhYQO3atWFR4Fp4nfQZurdtDQb6qg2KcvLyYfSKDRB68S/Yu3cv\nNGvWDObNmwepqalQs2ZNImNXWeHYsWNHWLRoEcTGxkKNGjVUhqAuDY6dO3cWjNN/PLXLszxw/I+n\nZkBEePHiBWzYsAEePnwI7dq1K3M8ERGePXsGGzduhG/fvkGTJk3KHEcpcnNz4erVqxAYGAiVKlUC\nBweHMseVoih4+vQprF+/Hj59+gTNmzcvcxzZUCIpqgGKU9j6+fmBrUVlCPQfCX1dnOnodEyIxRI4\ndSMaZgb9CZ9S02D37t0wdOhQaNasGcTHF2fZEolE0KRJE2jfvj04OzuDs7Mz1K9fX+2AT0JxHDdu\nHGzfvp2+rlq1ajQ/Z2dnaNWqlcZCjqYcSwr/8fx3cfyPJzdkZWXB7du3ITo6GqKjoyEmJgZSU/8f\nlXPXrl3g5+dXqjyzs7MJjjdv3oS0tDT673fu3AEnJ6dS5QhQLMRVA8NSAAAgAElEQVS8evUKYmJi\nICYmBqKjoyEuLo4OYa2rqwtFRUX0ulBaXDMzM4n+jI6OJvJzXLt2jV7ky/I3VGLCAkCxqmX0r79C\nxLVrYG9dBbq2bgEt6tUGs4omkJGdA3EvE+FqbBwkfUkBN1dX2LFzJ9SuXRuaNm1KZ7hTBAsLC2jX\nrh0tQPzwww9QsWLFEuEoVftMnDgRgoKCFNZtaGgIjo6OhADBNcmUEBxHjRoFe/fuBQcHBwgICID+\n/fuDkRG3lMfqQF2eCxcuhOXLl4OdnR0sXboUBg4cCBUqaBaoRhs8SxLlgeN/PElItQbMRSI+Pl7p\nPBYSEgLDhg0rMZ6ICImJiXDz5k2a48OHD4H6Jx4BG5jCQklwlCIrKwvu3LlDC1kxMTHwlZFFVxb6\n+vqQn59PqPRLoj/5vnM9PT1Yt24dTJw4sUQ4qg1BfSs4IjY2Fv39/dGpdWs0NDREAEBDQ0N0at0a\n/f39MTY2lr722bNnCAC8i56eHq5Zs0brHN+8eYPHjh1DiUSCmZmZaGxszIvngAEDkKIorXJ8+/Yt\nbtmyBU1NTYm2zc3NcezYsRgTE6M2ByF5SlGtWjWCp6mpKf7666948+bNMsHz0qVLeO3aNa3xkEIs\nFuPhw4fx48ePvDlmZ2fj5s2b8cOHD1rnyQa+77y0oC2e2dnZ6OjoyGsuqF69usLxrQ2enz59wmbN\nmvHi6OTkpLA+bb7zy5cvY8WKFXlxnTZtGiIiPn36FPfv30/0rTa4JicnY9OmTdVarxo2bFii/akO\nSkVYkIVEIlH4N7FYjAYGBmq9gMaNG2uVY15eHurr6yMAYM2aNTE+Ph5nz57Nm2daWprWOCIimpiY\nIACgrq6uQg6NGjXCVatWYVJSkiBc1OEpxfDhw5V+VCtXriw1niEhITSXXr164devX7XSdmxsLNrY\n2CAAoJGRkcJFRFFfShcBXV1d3Lx5s8o+1zZKu32uEIrnnTt3eM8DwcHBJcrz6NGjvDlevny5RDlK\nMWPGDF48K1SogB8/fsQ5c+bQv3l7e2uV6+nTp9VapwAAJ0+erLL+0v6GyoSwoApeXl5qvYCtW7dq\nlVdSUhLRnp6eHvr7+6Oenh5njiNGjNAqR4qiePWZjo4Oenh44OHDhzE/P19wPu/evcN3794pvSYm\nJoYTz549e2qFJ0VRePfuXSwsLJT729SpUwkelpaWGBwcLJjGIzMzE3/77TfU0dEh2snNzeVVT5Uq\nVYj727Zti/fv3xeEozJER0ejnZ0dtm/fnnVyoygKO3TogFZWVnjhwgWt81GEadOmoaWlJa5atYr+\nLS4ujnc/K4JEIsFOnTpx/u5sbW05j+MPHz7g27dvNeaYmZmJderU4cyxefPmrOP8+vXraG9vj+7u\n7lrT/L18+RLNzMw4c+3fvz82atSI+K1169Za4SZFTk6OXJtcy5MnT7TKTQiUC2Fh3759vDt/5MiR\nWlVZIyIWFhayts1VXebk5CTY5KQMlStXVmsAOzg4CKrGvnjxIl332bNnFV4nFovRysqKM89q1arh\ny5cvBePp7OyMAIA1atSQG0PHjx9n5dC5c2eNP/gTJ07IHcEAABoYGPCuq2vXrqwC1m+//YaZmZka\n8VSExMREWosFABgeHi53TVRUFPFcjx490goXZdi2bRvNwdjYGBERhwwZggDFR14FBQWCtJOcnIw1\natTgNIZXrFjBqc7IyEg6guKJEyc05hgfH895vgoJCZG7PyEhgTh6jYqK0piTIpw9e5Z+dnUKl927\npnjx4gVWqlSJ9zyr7bVKCJQLYeHLly+8BolIJCqRRRgR0cLCQq2BW6VKFXz//n2JcOR7dsosZ86c\nEYxH8+bN6XqbNm2q9FofHx9ePHfv3i0Ix6dPnxL1yu5+o6OjFXLQ19fHuXPn8h577969w59++klh\nvbVq1eL9HGPHjlVYn729PR45ckTQCerDhw9Yq1Ytop1NmzbJXbdnzx7imqpVq+KzZ88E46EKBw4c\nkJtL3r59SxzRrVu3TrD27t27h0ZGRkrHromJCaampnKqz8nJib6vQYMGgnAMDw9X+X3Z2dnJCVHv\n379HBwcHrXyHirB8+XK157INGzZolZsUo0eP5sVr/PjxJcJLU/DKOllaqFKlCmF9qwq2traQmZmp\nRUb/h7W1tVr3ISJ8/PhRYDbssLGxUes+V1dX6N69uyAc7ty5Aw8fPqT/Hx8fDzExMQqv9/Dw4Fx3\ns2bNYNCgQRrxk2LZsmXE/xcuXEhYMitLwFNUVATLli2Dpk2bwoULF1S2JRaLYd26ddCoUSMIDw9X\neJ06Y0zZO09KSoLBgweDh4cHvHr1infdskhJSYFu3brB69evid8TEhLkrn358iXx/+TkZOjatSsk\nJiZqzEMVwsPDYdiwYXKW6YsXL6bd7QAA1q5dCwUFBYK0mZiYqNSzAADAz88PKldWnXjrwYMHcPfu\nXfr/z58/h6ioKI05pqWlga6uvHseE5MmTQIDg/+ndU9JSQF3d3d48+YNcd3z58815qMI+fn58PTp\nU7XvV3eu5oumTZvyup7PXFeqKGVhhTMWLlzIS1qrXr16iViLdu7cWW1J19DQEPfu3at1jr/88gtv\nbv369cO8vDzBOPTq1UuujR49eii8/uvXr3Ln9mylffv2nHdlqvD8+XPWNplHJjk5OZz70NPTE1NS\nUljbio2NxZYtW3Kqp0+fPryfhalqV1aMjIxw2bJlamsZ0tLSFD5H165d5a7v378/67UODg4qbVk0\nwaVLlxQaSrN5MG3ZskWj9iQSCc6fP19l/+vo6ODr16851cnWd25ubmpzLCoqwilTpqjkWLFiRcII\nOy0tDVu1asV6rYeHh9p8lOHDhw/Ypk0btedaAMCrV69qhZsURUVFcjZNXNaAnJwcrfISCuVGWOBi\n9NanTx+0t7cnJoGwsDCt8ho8eDCvwTFixAh0cXEhfps6dSoWFRVpjSPTIphL6dGjh6B8bt++rbCt\n6Ohohfe1b99eKc9OnToJ+qEp8sJwcnIiFlM+Llz9+vWTayctLY2XsdaoUaN4P8uJEyd4vfNDhw7x\nbiMrKwvbtWunsM6qVavK3dOgQQOF19erV49wExUKUVFRWKFCBV79YW9vr7awnJGRgX379iXq8/b2\nxh49esi14+XlxanO+/fvK+QaGRnJm2Nqaiq6u7vLjbMWLVrI1c8868/OzsYOHToo5FKjRg3eXFTh\n77//xqpVq9JtVKhQAbdu3cr7ncbHxwvOTYpv377J9aePj49KV/off/xRa5yERrkRFsRiMVpaWirt\n+ICAAPz48SNtoCYts2fPRrFYrBVeEyZM4DxY9fX1MSMjAwsKCnDMmDHE39zd3fHbt29a4bhx40Ze\nH5WDgwMmJycL1j6bVkFalGkXli1bppRnjRo1BDPAfPnypVLX0tOnT9PX8rEgZ3PXSk1NlYt5oazM\nmTOH9/Mos61gK1euXOFVf25uLrq6uqqsl+laWlBQoLSPAYrdnb98+cL7eRXh7t27vPqaWdhsLlTh\n5cuX2LhxY7oOHR0dXLNmDVIUhenp6XLC0u3btznVq0gjA8Bfu/D48WOsW7cufb+enh5u27YNEYvj\nxjCNi5maj/z8fOzevbvKfktPT+fFRxl27txJu6dL56a4uDhERJw4cSKv96lIy6cp4uPjiTlB2p9v\n3rxBa2trpZw2btyoFU7aQLkRFhARvb29VQ6Ibdu2YX5+Po4cOZL4vVevXoIOYimWLFnCaaAaGBjI\nBfLZtm0b4WZZp04drUi/Bw8e5MSRyaVVq1aC9JcyrYK0KNIuKNpNMYXGxo0bCyJkqTqqcXR0pLUL\nqjQe0kl20qRJdM56tn5h28WxlfXr1/N+nsTERE5116hRgxCEuKCgoECpAMgszF1vfHw8p3tatmwp\nyNFSfHy8yg2GsmJra8vLWPXixYtobm5O329ubi5nIPvs2TNaq8R2TMOGBw8e8OpnZTh16hRhrW9l\nZSV3b2RkJD0X/Pzzz4hYrGJXJrAwy99//82JizIUFhbi+PHjiXrd3NyIBV8ikeCAAQM4cdLV1dVK\nnILw8HBC01ilShW8fv06fvnyBevXr6+Sl5BeXNpGuRIWQkNDiY42MzPDGTNmEDtQkUiEhw8fRoqi\ncNOmTcROpmHDhvj8+XNBOW3fvl3pYKhYsSIOGjRI4Q44MjKS8ImvWLEinjx5UlCO165dUzlovby8\nMDExkXDd69Spk8ZeJVwWFUXaBYqi0NbWlrh24cKFmJSUhLVr16Z/a9u2rcJFmQtevXqlcscLAPR7\nUTVpOjk54d27d1W2W1RUhOvWrSPcDdnK/v37eT+TKtsKHR0dnDFjBmZnZ/Oql6Io2s2QS2HGOjly\n5Ajn+9q2bcsa54Ir3rx5Qwe10qRwEdQoisK1a9cS9i6NGjXCFy9esF7/4sUL3LhxI+eAXlwWRFXa\nBYqicNmyZYQnSIsWLfDNmzes18fExOCaNWvo74qP3dOOHTs4PZciJCcny8WomDx5ssKj0ZCQEDlt\nsmyxtbXViJMsKIrCgIAAoo1WrVrh27dvMSMjA1u3bk3/Xr9+fbx48aLc8XO9evUE5aRtlCthISUl\nhT6nqlGjBrHwMyN86evr05HGrly5Qrg3mpmZ4fnz5wXjpMjvXlr69u2rso43b97IGYkFBAQI5tom\n6w4oW6ytremAME+ePCF2Y3369FF70uaiVZAWRdqFSZMm0dcw1cKvXr0iFgN3d3e1gzONGjWKE8eW\nLVsiRVFK3RIBAIOCgji3TVEUdunSRWl9fKLmMaHM39vQ0BATExN51/nkyRNei+2ECRPoexcvXszr\nXr5HI0yoE0mVrVStWlWpXUxubq6cm2/fvn0xIyNDbe5McNEqSIsi7UJ2djZ6enoS1w4ePJizoKhq\n/pAt/v7+aj9vbGwsVq9enRinXCJbqoqY2aJFC7U5ySI7O1vOVs3LywtzcnIwLy+POJ6zt7enBTKK\noohvYPbs2YJxKgmUK2EBETEiIgKXLFmCnz59In6nKIqQfk1MTOjzwFevXmGTJk3ov+no6ODq1asF\nWYxv3LghNzDr169PGLBdvHhRZT1sH/SgQYM02jFLkZaWJsexZs2ahNHQ4sWL6evv3LlDqNZ8fHzU\nUuFxVVUDKNYuZGZm4tq1a1knwri4OELt6+npyds25fXr17wibh4/fpzVM8fNzY3+t5mZmdz4VATm\nbtvS0lLObx0A8OHDh7yeSYp69eoR9ZibmxMTmYeHB+9vICcnh7MXBwBgly5d6Hv5RGJ1dHTU6Cji\n6tWrKjU2XIuiHDPv378n4h4AAM6fP19QdTdXNTsAoKurq9z9b9++lXtfS5cu5fXes7KylBqmKnvn\nfHDgwAHCINDOzg5v3bql8j6xWEzEknFzcyPsHAAAu3fvrhYnWbx+/ZqIFyMSiXD58uVIUZTcUY2F\nhQU+fvxYro5z585hYGBgufGCkKLcCQvKUFRURAS3sbKywqdPnyJi8aIjqz728fHRWM2enJxMLzbG\nxsa4YsUKLCgowODgYLqdunXrcrKspigKly9fTqgKmzdvrtYOULZeqbTODBwUFxdHq98NDQ0Jtelf\nf/1FJy8BAJw0aRKvCebRo0e8J+UHDx7wfrYbN24QE8yYMWN48WRqLriUH374gVjg69SpQwuDTGFV\nWRx6KTIzMwnvnaNHj2Jubi4uWLCAdvMzMjJSe5c6cOBAgs/nz58xIyMD7ezs6N+PHDnCu16xWIxR\nUVE4ffp0OYFEtlhZWdH3MSdZttK0aVOcN28e3r17VxBBPjU1FQ8cOIBDhgxR28gRoPgcWlYAYLPQ\nV6cvleH58+e8uTIX1+vXr8sdcbJF1eSC/Px8PHfuHI4bN441yiizWFpa8np/YrEYZ86cSdTRrl07\nzp4xmzZtou9r1qwZFhYW4uPHj4mjjKlTp6r13Excu3aNMP6sVKkSbe9DURShoTQxMcGYmBiN2yxL\n+K6EBcRitSBzkFSvXp2OlCiRSOR2hU5OThpb1J84cQLnzp1L+EtTFIUdO3ak21m4cCHn+k6fPk2o\nkC0tLfGvv/7SiOP9+/cxICBALiQx8/ima9euxEd+4sQJ4hyWqX1QhatXr/Ke6NRVt587d47QDsyd\nO5fzvbLaHFWlTp06WFRUhBs3bsQtW7YQwmZKSgpx5KXqeZg+7j179iT6/vnz5zh79mw8d+4c/w75\nB0lJSbh06VI5w1pmAiE7O7v/sXfd4VFUX/tk00koiSGIgHSQ3hEFhQgCKr2oKAhSpYOiiIKK0pHe\nQUGU3ot0pffee4BQEwghkLrZ7Jzvj3xzf/fMzu5O2yTCvM+zzwOZO3fubJn73nPPeV9dIXOr1cpW\n8D4+PrJKq6LynzQz3MvLi5S/KY3GaMHSpUvZddQa0+XIkYOsAufNm+c0Q99IyEUt3b1ExdXZs2d7\nLHk6LS2NPZ+caaEoLTuNi4tzKCnt0qWL4i3Fe/fukWfl/v372TFBEHDlypX4yy+/6EqCFgQBZ8yY\nQd7PkiVLkmfp4MGD2TFfX19F0eT/Gp47soCIGB8fT0JvZcqUIclEq1atIiHKl19+GQ8ePGj4OM6f\nP8++YH5+fk4TnuRw8eJFsmoT3QON1hBPTEwk+vWLFi0ix/kICQDgtGnTFPUrCAL+9ttv2Lt3b/bi\nQ/X16tUjx+bOnavr3qQyvkole6OiovCbb77BHj164BdffIE9e/Ykk1rfvn2xX79+2L9/fxw8eLDb\nSeH3338nDxRnD83Tp0+zqE5AQABGRkaqvmetEASBbBH17dtXc187duxg/Xz66af48OFDXLBgAbZs\n2RLz58+P3bt3Z21/+eUXLFCgADZt2hR///13jImJwaFDh7Lz586da8TtyaJDhw7sOitWrMDu3btj\n9erVMSwsDIOCgki05bPPPsN+/frhgAEDcNCgQczvIC0tzaFUOiIiwmMleYIg4IIFC7BXr17sd8LX\n8r/11lvkNzRz5kxMTU3Fnj17kjE2aNDA0LLsPXv2sL4//PBDvH//Ps6bNw+bNWuG4eHh2LlzZ0X9\nyJVwTp8+XdVzgN/a6tq1q9Zbcgqr1YrdunUj72fjxo2JSNX48eMJAdaiWfJfwHNJFhARo6OjSe2r\nNGP+zJkzZH/Yz88P58+fb/g4+PCaWle2J0+eOLDurl27Gu6yuGHDBtZ/eHi4w17xhAkTyBikhEIp\n+InUExPD9OnTyTj/+OMPTf28/vrrrA+1BMZut5Os559++km2DZ+9/csvv2gapx7cvHmTbd94eXnh\nsWPHNPXD17preUgeP36cne8p9T+bzcYiPjlz5pT9/fBl2devX3c4/vDhQ4dE1L59++qq2NACviJM\nStwfPnzoUEUwcOBAwwXfBg0axPr/66+/NPWxfv16hxLOXbt2qepj69at5Hyj7eKjo6MdBKi+/vpr\nkhc1f/58clzUq3ge8dySBUTHjPmGDRsSM5RHjx45CMv069fP0B+XdOW+bNkyVeenp6c7eLm/+eab\nhods+XwOfjUo4vvvvydRDi0GU54mC4g0497b21vTHi2vSqglWe3cuXMuI0rz5s1j/ZcqVcojVuBK\nMHbsWDaOqlWrqv7eC4KAhQsXRoD/CY6phSAIbA/cz8/PI46Y/Eq4bdu2sm34igZp7fvp06fZfYrj\n9LRhkjM4IwtyY9RKlt1BTHa0WCyqJ2i73e6gTVO5cmWnJZzOkJycTBaDRt/r8ePHSW5GQECAwyJJ\nuk2bFaQ/M/FckwXEjAgCX5nw8ccfkwkgLS0N+/TpQ76877zzjqEsdd26dazv/Pnza3qoLlq0iLjX\nFShQQPNqUA537twhFRBSYRVpyWBAQADu3btX1TUygywIgkBWu/7+/g579u7Ar/q1Kn/ye5gNGjRg\nEQppXoOe8kC9SEtLwwoVKrCxqHXlO3PmDCHiWsH//lasWKG5H2f46quv3K6E+W0KviR7xYoVJK/C\nU1uWSiFHFlauXEnGmD9/fo8l1129epVd56233lJ1bkJCgkN1h1hyqBa870bdunUN3Z5dsmSJ22ft\nrl27SAJ4//79/xM203rw3JMFxIysYP7D7927t8MHK01aKlasGJ47d86wMTRt2pREL7Tg2LFjbtmu\nHkyaNIn1Xb58eYcQa3p6OtkjzJUrF548eVJx/5lBFhAzVi+ffvopu1bOnDlVjZNXaNQaZUpMTCQr\nvSVLliAirZho166dpr6NxIEDB9h4goODVdmm8ytENdoSUvB5D0qqSNRAEAS2L+7t7e107573Bbl8\n+TLa7XYSTQMArFGjhmHy4lrBk4UpU6Y4mFXVrFkT792757Hr81uS48aNU3xeZGQkli9fnp3r5eWF\nY8aM0TTBXrp0iT2rfX19HZK2tSI9PZ2QfAD5KO6JEyfIForW0vL/Gl4IsoCYUWHAq/TJZfbv37+f\nJLcFBQXhmjVrDLk+v0dssVg0O2I+ePDAQW5Yuo+mFTabjbjJjR071qGN1WoleRTh4eGKEzcziywg\nZqya+SS+vHnzKlbv5Pcp9exJb9y4kfWTL18+3Lx5MyFansz+V4Pu3buzcbVq1UrxebzGQFRUlObr\np6Wlsehf7ty5yVahXvAiUq7q/zt16sTaHTt2jJB7gIykRyNdWLVi8eLFbEx8VAgAsEOHDh4fI5+3\nIZalu8OOHTswJCSEnZc7d27i5KoGgiCQrePvvvtOUz9SPHnyBN977z3yfspVZVy5coWUo37wwQeZ\nnreSVXhhyAIi4sKFC8mXgZeiFXH79m0i8CESCyOY4+jRo8kKQOsEn5qail27diVjbNy4sSF6+keP\nHmVVBYGBgbL2uUlJSYSwFC5cWNGKNDPJgjhOPtnw1VdfVTROvuRV78QlFWkR/620qiQzEBcXR0iy\nEq+Iu3fvsvaVK1fWPQY+ErR9+3bd/YkYM2YM69dVhQwf8eGlxC0WC06aNCnbhJh5ssCPccKECR4f\nY1xcHFtwlShRwu31BEHAiRMnkn19vZL7f/31F+uraNGihggbXb58mYhOOas8u3v3LokW1q5d+z8n\nrKQHLxRZQKRhNGdlLklJSQ6mVa1bt9atpmi1WokjnZ7MWUEQcPr06SRaIq391Qp+D7lJkyayD4W4\nuDiysilTpozbErLMJguIGSsGXgyobNmybvNR+IxyvcmHt2/fdlASrFatmsdcULWCD2+/+uqrbqWA\neU8UNRoizsALXfXq1Ut3fyJ4UitX5SBCajwHABgSEmIocTECUrt5ObMqT2HJkiXsugMHDnTZNjk5\nmeSBAGRIx+vR9IiLiyOreq3RCR6bNm0igl3ONG0eP35Mnt0VK1Yk5ZMvAl44soBIdeOdCWgIgoBj\nx441XE2RN3XKkycPRkdH6+pv165dxMuBVxXTivj4eGLgtHr1atl29+/fJ6uwGjVquMxmzwqygJix\ndeOqjFaKunXrsrZGhHV5LQEA5z4YWQlBELBBgwZsjF9//bXL9nzIVuuWGo9nz56xhLECBQoYEsmL\niYlhv9+yZcs6bScIAtasWZN8RuXKlXNJLjIbgiDgpEmTyPMoX758qrRb9KJdu3bs2q5E4uRksIcO\nHar7M+UTrFu3bq2rL7nne4UKFWSf74mJiaRCqlixYorVJZ8nvJBkQRAEEsZ3Jc2plHmqAZ9M1aFD\nB119IcrrlY8cOVJXWHLFihWsvwIFCjglAZGRkYRY1K9f3+lqPKvIgtw4XRlP8fuyeuXAEZFIkANo\ns5zODFy9epVN2N7e3k4FqBISEpgKYoECBQwLf/M5JqKvix7wNfBDhgyRbZOcnOwQRYyIiPBICadW\npKamkpwK8aUmwVAvpHklzvbp9+/f7xEZ7EOHDrGJXW0irhRJSUmE+LiKHFutVmzUqBEhaNmJRGYm\nXkiygOjozx4aGuo0hH/p0iXiTe7t7a1aaYxHTEwMSfhRK0Yih8TERGzTpg35AXz00UeqLYhFCIJA\nEhn79+/vtO25c+fI/bRq1Uq2iiAryQIi4tmzZ4nxVNu2bWW3A/gEKr17kn///bfDQ17vw86T4HUq\natWqJbsaXL16NWvTs2dPw67N608YkbjGkzS5aM7t27eJlbD4UlM542ncv3+frGr5F+/C6mns3LmT\nXffjjz+WbTN37lxSUVa0aFFDZLBtNhtWqlTJELItl5P2888/y37P7XY7sWPPnTu3Jv+a5wUvLFlA\nRExJSSGryIIFCzrN6pbLlu3atavmBDh+z7dMmTKGZIDLeaxrETwRERkZyUpO3VVwHDx4kNR6d+7c\n2YFMZTVZQMwoFeSNp7p37+4wTl6WWivZQsxYwfAqoXy/esOonkJqaipJ9po9e7ZDm44dO7LjRu6X\nR0dHs9VjuXLldPWVnJzMPufw8HCHyWDfvn0kqZPX/T916pSuaxuFo0ePEhnqwMBAkk+UmWSB9zFZ\nvHgxOWa1Wh0kpo3Uqpk4cSJ5nmktZ5Z+5sHBwbh27VrZtoIgEGlvLboyzxteaLKAiPj06VNSLvja\na685TdSTc0erXbu2prwDu91OZIVHjRql91YY1q1bRwSWwsLCnHrdu8OoUaNYP9WrV3eZmLdt2zay\nshg0aBCZiLMDWUBE3LJlC5kcpKvY+vXrs2N6klq/++471k9ERAQ+fvyYJGhpUcHMDPCrSGlejc1m\nYzkywcHBhqtP8mWrevbj+bLVLl26kGNyK2DeUMyIHAy9+Ouvv4joT6FChfDEiROkGmLKlCmZMhap\nVgVfdRUTE0OqhwAABwwYYJgKLp8g7OXlpVlsSvqZu9PR4Q0Hvb29deeBPQ944ckCYsaKhjc0qVmz\npstJQqqmWLBgQTx+/Ljq6548eZKVFQUGBupOnuRx/vx5ktTn4+MjWyrqDtIKDnermRUrVpCkodGj\nR7Nj2YUsIDoaT02YMIEd4xP9tO5dX7x4kQjHiDXpfOlXkSJFsm3pFZ9Xwwsl7d27l/29TZs2hl+X\nN+UZP3685n54858NGzYgovwKuH79+hgbG4u9evVif9PyW4HvT9UAACAASURBVDYK6enpxHsBALBO\nnToYExODiLQiIbPIwqVLl9g169aty/5+4sQJLFSoEDvm7+9vuOwyr/ioZctLzvzLnbEWb3kNAPjn\nn3/quYXnBiZZ+H/cvHlTcQIcYoaaYoECBUiYSlTpU4P+/fuzPpyVKWrF48ePiUsdAGCPHj1Ub3ns\n27ePnZ8zZ063KnZz584l15wzZw4iZi+ygIg4Y8YMMs4FCxYgIpL3TKvfAb+9xUcupKIyzhLvshoP\nHz4kuhBixRA/kXniIcrLCdeuXVtTH3a7nXnCBAYGYlJSEsbExDiYLPErYD68b6SMuhrExcWRZDqA\njG0y/veaFWRh3Lhx7Jq//vorGwe/YHrllVfwyJEjhl6Xjw6Fh4erLlV8+PAhqWxSEvWQ6lhk12Tk\nrIBJFjicO3eOJMB9+OGHLsPuDx48ID4CAICDBw9WVUP/9OlTsi/pbA9NK2w2G3755ZdOVypK0aVL\nF1UrSl6AStSzyG5kAZFKFnt7e+O6deuwYcOG7G/x8fGq+3QXPbh8+TKrJvDx8cHz588bdTuG4rff\nfmP3Ubx4cUxOTmaJvq6kk/VCjGR5eXlp2uI7fPgwG3ezZs3w5MmTxMzNz8+PEUMRvJ+I0ZOeEly6\ndIlY0juLBGYFWeC3GS5evOhgbPfGG28YXkoozfdRK2svZ6wl/cyl2Lx5M9me/P7773XcwfMHkyxI\nIE2A69mzp8vVfmpqKplIATKsdtVMMsuXL2fnFipUSLf4kxwWLlwouweqFLGxsRgWFsbOdyeIIggC\neaj4+vqSJKnsQhYEQcB+/fqRUGqNGjXY/9WuZqRqiM7yEnhN/7feeivbKATykNpt83XufDjaaPC5\nHvPmzdN1fvfu3cnv2ZnJEv8d8JQJkzP8/fffpDw7LCzMqflZZpOF2NhYtlVaokQJh8iHnCSyEeDF\np9555x1Vvw+p+Vf+/PndaptIn/s9evTIlr/JrIRJFmSwadMmooz4ww8/uGwvCAJOmzaNnFO6dGnF\nsqaCIJDVrDtBHK04cuSIQ3b10qVLFZ/Py2Ur2W8XBIEQKXE1nZ3IAmLGpMhbFPOfo1oJbX7vu2XL\nlk7bSS123a16sgrnz59nqy3+feFzPIzG0aNH2XU++OAD1efzhkX86/XXX3dqsjRgwADWLrNEswRB\nwNGjRzsIv8lJrIvIbLLAR8n4qKuPjw/OmDHDIxMq/53z8/PDy5cvKzrPbrc7CKApMdaSllS3adMm\n2ymsZgeYZMEJ+B8JgLIypX///Zfs8+bOnRu3bNmi6HrXrl1jK38fHx88e/as3luQhVzd9rfffqvo\nxyHdi//222/dnmOz2RxsabMbWUB0NJ4SX2pC7byvRo4cOdyaK23dupVd56WXXjLUFt1ISCWGAfRV\nKriD3W5n+UD+/v6qkkwjIyNliUKnTp1cqnHyUS+pPbsnICcM1KZNG7eluplNFvgqESWRD70QBIFs\ne7hbqIl4+vQpNmvWjIxTifnXjRs3SK5agwYNPBIpeR5gkgUX4C2bAUBRAqPUitViseC4ceMUMXBe\nEKd27doesz1NTU0lxjkAyrdOeHtYHx8fRTbeqamppBwRAHDkyJFG3IqhkBpPAYBi0paenk4EfpSq\n6/GW39ISv+yCpKQksuefP39+j1+Tj9CoUQCUEhtvb2+cMmWK298fn9ezf/9+vcN3CWfCQEqeEZlJ\nFlJSUsjWJYA+3RYlWLBgAbtW8eLFFcmtX7t2jVRsWSwWnDhxotv3Mzo6mkT33FXBvegwyYIb8Puf\nPj4+ikRoEhISiDokAOCnn37qVjo4NTWVJDn9/vvvRt2GAwRBwClTpjhsnSgJ+fH77UpJzbNnz7Bo\n0aJkdZId9dWfPHlCvOpLliypaMU/bdo0dk758uUV29beu3eP7Ffv27dP7y14BPxkGhgY6NY0TC+2\nb99OfjtKIN0+zJ07N/7zzz+KzuWrPDz5Gezfv99BGGjdunWKz+fJwuTJkz02zmfPnhHNC4AM5UZP\nlvrGxsYSnxs5zx4ptm3bRrYQlJp/xcfHE1VIJUZ4LzpMsuAGgiBg9+7d2ZcqR44civY07XY7/vTT\nT+THVr16dbcyvzt27MjU0PQ///zjsHWyefNml+ekpKQQXQqlSWhTpkwh70eFChUMsdU2GtJy05o1\na7oMhd+/f1/XhM8TjXLlyikmGpmJFi1akPfk888/9+j1rFarIi8CxIzf6JgxY8jev5+fnyoNfz4Z\nV6uAmTvMmzdPlTCQHJYuXepxsnD9+nUsV64c+bzbtWvn8YQ/Pr/JmaS0CDn767Jly+K1a9fcXic5\nOZmU0RYqVAhv375t1G08tzDJggKkp6dj69at2ZcrNDQUL1y4oOjc1atXE4vifPnyud0T5fXIMyM0\nLd068fLywrFjx7p8OPCkJiQkRFEpJl86Kb7efPNNXZLKnkDTpk0dxulqL5Pfe9YyiUq3MMaOHav3\nFgxFcnIyyy7nJ2RPTaoieIOnHTt2yLZJSkoivxfx1adPH1XX4pVZjd6PlxMGEsWg1MLTZGH79u3E\n5wUgYyvH03bM+/fvZ9fLlSuXy6hjSkoKEQ0DyCiRVaKJYrPZyO87LCyMCaaZcA2TLChEamoq0fYv\nUKCA4r27s2fPkhC8n5+fyy0G6UrV03uoiPJbJ+3atXMZduQf5krcM3mywIf6GzVqZIg3hlHgE6X4\nz0EuS5onTaGhoZpDmcePHydqnq4y4jMbvBkWnxxrlKeJM/DOp71793Y4HhUVRaTa+ZfaCZ+3rTfC\n2E3Eo0ePSFIwQIYpm1Y5ZE+RBUEQcMKECWSlLr4iIiIMu44c0tLSyGJl2rRpTtvevXvXwU582LBh\nirZC7XY78TUJDg7OMgGu/yJMsqACz549IyvAUqVK4cOHDxWd++jRI6LcBwDYt29fp+FVXnK0QoUK\nmRKattvtJMkSALBq1apOQ3TR0dFkv/Dff/912T9PFoYNG0Ym4o8++ijblCvxboUbN24kNdvdunVj\nEZfU1FTiRqpFE4AHLwxktJqnHvDbcGvWrCE6FCNGjPDYdZ89e8bKbQsWLEjej7179xKfjeDgYKYo\nGBISonoy5hMj3X2PleLMmTNEWMjPzw/nz5+vq09PkIXk5GRSOiwSQfHfEydONOQ6zsArRFarVs3p\nc+DQoUOkciFHjhy4YsUKRdcQBIHk3fj5+Rn2Ob8oMMmCSsTExJAJonr16opLu9LS0siEAODcnS09\nPZ1kTIsyq5mBNWvWkK2T8PBwp/vwvHtmqVKlXJYdSRUc9+7dSyRjv/jii2wxQfL78/fv38ctW7aQ\nvWZRopl3+HzjjTd0V6/Ex8eTh6HRap5awEsnBwQEYFJSEp46dYolEgYEBKjKDVCL999/n70fomfD\nrFmziNJe8eLFicR4+/btVV+HT2RWmhTpCqtWrSIkM1++fHjw4EHd/RpNFuRsuocNG0aSG5XkAWjF\nrVu32PtksVic+nIsWLCA6LQULlxYlV00ryhrsVhw9erVRt3CCwOTLGjArVu3iLhR/fr1VdXm/vbb\nbw6ud3IlenzdflBQUKYm4Ui3Tnx9fWW1Eex2O5G8Hj58uNM+5eSe//77b5cOkFkBfjtGFHRZunQp\n2a8fMmQIIzre3t6G+dzzap4FCxbM8lKuI0eOsPE0bdqU/Z1fpTVs2NBjJG/OnDnkPe/RoweZ2N59\n9118/Pgx8XZQutrkwYv5OMuPUAK73Y4//PADGaOSxGalMJIsSC2bg4KCcNWqVfjo0SO2HfHaa68Z\nMm5n4Lf8+vbt63DcZrMR/xwAwHr16imO6CI6etXojQC+qDDJgkacP3+eJAKpVf06cOAA5suXj/xQ\n16xZ49COd8lr1aqVkbfgFrGxsQ76CL169XLYEjlz5gxbafr7+zsV7HHmDbF48WKnDpBZAV5EijfN\nmjlzJnkvxNfAgQMNu7YgCERS96uvvjKsby34/vvvZR+yCQkJxHFQjRKoGjx48IAIXfHv+5dffok2\nmw0FQWA6EH5+fpqcQvlyYCUle3J49uyZQ95P+/bt3ZZMq4FRZGHOnDlOFyy8Uqun1GQREdetW8eu\nkz9/fgedF7nnT+/evVVtya5atYrkYfAuuCbUwSQLOnDw4EHyAFOrJy4XAvzpp59IOPvJkyeE/bvz\nZDAaNpuNSOECAL799tsOzJ4vPatfv77s++DKSGr69OnkGnr3dvWAr3yRrgh54ymAjPJWrTbWznD9\n+nUmhmNk1EILKlSogADypk78wz5fvnwey5ivWLEiec/9/f2J4+WpU6fYsUaNGmm6Bh8NUKKlIoWc\nGNv48eMNj7jwZEGLI6LVaiUeH+Lvld8KbdOmDTu2d+9eI4fPICWby5cvJ8fPnTuHxYoVY8edRTZd\n4Z9//iFbF1999VW22Ob8r8IkCzqxZcsWEkYfOnSoqvOTk5NJVYEYQeDDz7z0dNGiRT0qjOIMcnuG\np06dYscTExOJyp+cS5w710k+udJisWTZnj3/sJRu/Tx9+hSDg4PZcR8fH9y5c6fhY+DzIWrVquUx\nNU9XuHHjBhmDHPhk0J49exo+hiVLlpDfV65cufDo0aOkDf+9mTFjhqbr8JooSiXaReiReVeLZcuW\naSYL0dHRDgqlAwcOJMmgVquVVSqFhoZqrtpwB14Eq1GjRmQSX7t2LfmNucqZcoajR4+SPjp16mQS\nBZ0wyYIBkHqgq5VhFQQBx40bR0LxFSpUwBs3brDjfCVFVlmnHjp0iCW7iWFhfn94w4YN5AcuFVxy\nRxakDpBZlbHctm1bNgapv4PU7hsgowzUWWKWVqSmpmLp0qXZNebMmWNo/0owefJkdv1Ro0bJtrl9\n+zZLhvXy8jLMsTE9PZ1oH4ivmjVrOrTlo3Na83p4wqE0eicIAk6dOlWzgZwWaCULx48fx4IFC5Lo\nzMKFCx3a8cqZWhJFlUC6bSkmUKqtxnKGS5cuESXIZs2aeYz0vEgwyYJB4Esdna2s3WHz5s1MtU4M\ncYurVt6TwdfXN8uEROTqnL///nu28uX3bLt3707OdUcWEDMeGB06dGDtgoODHVaSngZvnsNrafAP\nuYCAAELgwsLCFLvjKcXOnTtZ/3ny5FEkfGUkeF2R8+fPO203YcIE1q5SpUq6H8xPnjzBxo0bk++Y\nWKLr5eVF3oc7d+6QiUUr+O0lZ7biPIywptcCLWRh0aJFpOqoQIECeOTIEdm2fLWWdGvACNjtdnzz\nzTfZNX7++WdEzNiWkBrOffLJJ6qjqLdv3ybbG2+//bahOSMvMkyyYCD4JCkfHx+3sslyuHz5MinN\n9Pb2xmnTpqEgCKS8KyIiIsvCanIKak2bNsWnT5/inTt3SPiPV6tUQhYQM0pMeZW1l156CS9evJgZ\nt4aI1NxJFEeSVn38/PPPmJycTBzyPCEbyxMnJcJXRiEuLo4Ro+LFi7v8rtlsNqxcuTIbp54y30uX\nLhF/FPH7z4sm/fbbb6w9n3T6008/ab4uv+2zceNGl20fPHhAJjwA5c6teqGGLKSnp5NwP0CGYuqD\nBw9k2wuCwHQhfHx8PEJ85s2bx8YillrfuHGD5caIhNCdgqwcHj16hK+99hrrp3Llyh4nby8STLJg\nIARBIKVdgYGBmuxunzx5QurLATJkn+Pi4ojIi5bohVEQBAEnTZpEMo3LlCmDV69eJW6dvKmSUrKA\n6KjfXrBgQY+63fHg5YPFraDffvvN4SGHmPFZ8YY0r732mqGGNDExMUT4yhP5EXLgt9aUVHscOXJE\nlT23HDZu3EiEuvjIGl/C2aRJE3YOH4E4efKk6muKGDlyJOtn/fr1TtsdO3aMhPMDAgIUudEaBaVk\nIS4uDhs2bEieIV27dnVZ4n3u3DnWtn79+oaP/eHDh6SC7N9//8V///2XbBnkzp1bUxL3s2fPiFhY\niRIlHBJyTeiDSRYMRnp6OkmQy5Mnj2qzGLGfwYMHO6wK+GTH8PBwj2u2u4NUSz5Pnjy4adMmIsMr\neh2oIQuIGSJFfD8lS5bMlFA87/UQGRmJjx49Igls0jr86OhoYqxVo0YNQyskeK2B0qVLq9L00Ao+\nuqJU/pi3lW7WrJniawmCgCNHjiQ5OxUrVmREDTEjsiNqm/j7+2NCQoJLhUe1GDVqFLu2MxfIxYsX\nk3B+wYIFDc9VcQclZOH8+fPEetnHxwdnzJjh9v3h3wNP+E7wUsvt27fHadOmkXyPUqVKadrKS01N\nxQYNGrB+8ufPn63k0p8XmGTBA5B+eV955RXNX165BxSvNd+rVy9jB68Bcn7yvJCK6HWgliwgOipm\nVqlSxeOhRb465fr169i5c2f2f2dueDdu3CDqi2qFulzBbrcTT4ZffvnFkH6dwWq1shV+SEiI4rr2\n+Ph4kgCrpJolMTGR5IgAZGiWyJmL8Zojq1atwlWrVhn2O+AV/qTjlku2rF27dpasXHmyICfDLK0k\nyJs3r2LDL36bLTIy0tBx79q1iywopBVg77//vqaFj1GLMxPuYZIFD0EaFtOzKpbLZBbr8L28vDI9\nAVAOz549I2V04ipY/PcHH3xAQvlqaqajoqLI/Xs6aenTTz9l1+Ifzu7c8M6dO0eiLK1btzZsH/v0\n6dOyGeSeAG+O9emnn6o6l3+/ChYs6DLCcuvWLZLrAJDhNeFsBbxt2zayMuXzZrQKKYkYO3Ys64sX\nR3vy5Am+9957ZIzuwvmeBK/wyZMFu91Oyj9FYq10OygmJoZFdsqWLWvomK1WK8kl4PUTALTnewiC\nQHxLcuTIYYiktgl5mGTBg3j06BGZMKtWrarIRlUOcklV4suV+Upmwm63kyRPACAqcXyYWq3AysWL\nF8neZpMmTTxmrsWb6vDJdlOnTnV7rlSoq2vXroYlon711VesX09KLOuRTpYqUDrLd9i9ezeGhYWx\ndjlz5nSZK4BIIx558uRhxCxnzpy6J2/ezGjVqlWImJFszP9+vb29cfr06Vlary9HFp49e0b8TMQI\nmJpKggULFrBzBw8ebOiY+XwQ/nmgN9+DT/j28fHxmLaFiQyYZMHDkK6KIyIiMCUlRVNfcuVa4suV\nrWtmY+XKlQ7SvOIDXitZQMxILuNDrO3bt/eIWBFfgcATPaWEbOvWreShaNTDNyEhgXyXPFHaxksn\n+/r6aiK3kZGRbOvMYrGQxENBEHDGjBlEaKlEiRKKq1345FPx1bZtW9VjlGL8+PGsv5UrV7osY85K\nSMnCtWvXsFy5cuxvWisJ+LJFLUnZzsB/F/iX3nyPiRMnknvOzCTTFxUmWcgEXLhwgSTItWrVSnMk\nQBAEnD59OkkMAsjwlnAVIs9sSO15pS8tZAExQ3tA3IIBAOzXr5/hKz1pWaiWrZ5ly5aRhL1x48YZ\nMra1a9eyPuX09PXi9OnTJHqhFfxqskaNGpieno5WqxW7detG3ttGjRo5iHe5Ar/NIb7++usvzeMU\nwWtFfPrpp04F0rIaPFno0aMHIeBalSNTU1MZCQ8LCzMsSikIgoNeBoD+fA/euyK7LZSeZ5hkIZNw\n6NAhQ8PTO3fuJGF5AMC6desaN2AD8OjRI5KMaQRZQMyYMPmSTVdOl1rAZ20DaJcxlhpP/f7777rH\nJggC0aCQc+rTA16caPr06Zr7sVqtJOl11KhRxPYYIMOkSO3E9PTpUxK1sVgs+PjxY83jFMGvVPmX\nVHo9q8GTBZ7QiGXLWrB161bWT8eOHQ0b6x9//OHwfnbr1g2tVqvmPjds2EAWSnq0NUyog0kWMhHS\n8LReO+YbN26QB7IRJMRopKWlkT1w8aVHuAeR7rECKMsnUAq+kiU0NFRXeSov9mOxWGSdRdXi1q1b\njHhaLBY8duyY7j5FVK9enY1Xr8DU3r17ZSe2gIAAXRohvL9BtWrVdI1RxI8//ujwHR0+fHiWeHK4\nAl86Lb6aNWumORcKEbF3796sLzFfQy+OHTtGJnWLxaKofNMV9u7dS7Y0+vTpk62edc87TLKQyVi6\ndCl5cMqVP6lBQkICVq1alTw8Pvroo2wncTpr1iwyxqCgIDxz5oyuPqWrQSNEqpKTk0lexJgxY3T1\nJwgCce00yu+Cz943KsH17t27rM8qVaro7g8RsW7duuQzKliwoG5yw0uKv/vuu7rHeODAAWaeBJBR\nbWIEqTMat2/fxqJFi5L384cfftBFaIyw95Zi48aNxHTO19dXd77H6dOniWBXu3btsh2Re95hkoUs\ngNSOmbfb1QKbzUb00MUJRGqvnNXgqwwAMvQX9K5kvv/+e9aft7e3Il1/pf0BgCE123J+F3onzLS0\nNJLYZsS+LU/ofvjhB119yUkNAwAuXrxY9zj56EepUqV09fXbb7+RaB8A4OjRo3WP0Wjs27ePWNUb\ntWVw5swZ1p+eHBXEDOLBCzuJESW9NtfXr1/HfPnysT4bN26sayvDhDaYZCGLwIc9jZjkzp49S/bx\nAQDz5ctnaGazXvCiTEatjgRBwC+++IKEuLU+nHizLiPJAqKj30VYWJhuM7D9+/ez/nLmzIn37t3T\n1R+vJ3DixAnN/cTFxZHySf6l12Kd1wMQX9evX1fdT1paGjFN4l9GJEwaidmzZzt8LwEAJ0yYoLvv\nESNGGEI4k5KSiOqn+NKbU3D//n0STalVq5asYJcJz8MkC1kEQRDIXmFgYCDu379fV59yKzlfX19i\nvJOVcEYWAACbN2+uOQSanp5OHlS5cuVS7RMgtQEXX2fPntU0Jjl4wniKL6X96KOPNPeTkJBgiHTy\nhQsXiPS1KDXMJ7oOGTJE8zjnz5+ve9KMjY0ljpoAQLZL9Eb6jILVaiVeMwAZXitGkoXXX3+d9afV\neyUqKorIsouvsmXL6ooAxMXFEYOpcuXKGZLMakIbTLKQhbDb7WSSy5Mnj67JKSEhwWE7Qnz16dPH\nYyJGSuGKLIgPAy2rRMSMBytfphUeHq4qO3zRokXsXD5nQW9ehRTx8fFEtVCv8VRsbCypitm6daum\nfoyQTt6wYQPZ+w8LC8Pdu3cjIo3a+Pj4uLS8dgWpSigA4FtvvaX4/LNnz5KVqkim+cqVP/74Q9PY\njER0dDRJ5ATIELhaunSpYWQhOjqaRWkqVKigqY89e/Zg3rx5ZX/PSmWm5ZCUlESqZ4oUKYJ3797V\n3J8J/TDJQhbDarXiu+++y34U+fPn11XTvWbNGtZXUFAQ+fFGRERgbGysgaNXB54s8Mp4vG5CSEiI\ng1GTUiQlJRGVy8KFCyvK23jy5AnZD+ZD6KdPn9Y0FleQGk9Vr15dV2IZXxlSvHhxTcmtvLaEWsIh\nCAL+8ssvZHugcuXKDitVXt2zTp06qreekpOTMTAwkJFBUULYYrEoklJfs2YN+U3w23R8vsaCBQtU\njctoSJ0t/f39ceHChYiIuGLFCsPIAv971FKZNWvWLCKuxZPsTp06aR5XWloacd1VS/xNeAYmWcgG\nSEhIwJo1a7Ifhx57VUEQ8IMPPmB9vfvuu2S/s2jRooaG1tWAfzgNHz6chb29vb3Jas9iseCkSZM0\nhcKlocsyZcq4XbnzMtQtWrQgod9Tp05pvV2XuHnzJnNRBAB85513NEsWC4JA7LyHDRum6nybzcai\nE2qlkxMSEoiRDwDghx9+KLuvnJKSQkiS2u2xjRs3snO7dOlCXFldaVjY7XYcPnw4GWO1atXIFhDv\n7Dl//nxV4zISixYtIuWBBQoUIIJgRpIFXiL60KFDis+zWq0kTwgASEVWaGgoPnz4UNOY7HY78WbR\nsqVowjMwyUI2waNHj4jZih53xRs3brAVmMViwQULFpBs4qCgIFy9erXBd+AePFmYM2cOWWm+/vrr\nhOQAZGR7a5HGvn//PjGrcWUZffToUbYizpEjB0ZFRZEHoScfVFLjqVatWqHNZtPU14ULF9gqz9fX\nV1XyJK+HoEY6+caNG1ixYkV2rpeXF44aNcolyeNNqtROKrz64/r16/HQoUPs/02bNpU9JyEhAVu3\nbk2+V5988olD9GXu3LmaSYwRsNlsxPsDIMOS/sGDB6SdUWQhJSWFaXWEh4crjvLExMSQvBuADBVV\n3kNF6/snCAJJOvX392fbWCayHiZZyEa4ffs2yTmoW7euZh8JXm63Vq1aGBUVhdWqVSM/8h9//DFT\na5WlZEG60pwzZw4xhwEArFmzpqYs/8jISLeW0enp6eQ9ESWZeStkPVUBSiBV9uzSpYvm5MIhQ4aw\nfiIiIhT3w09SSisBpAqiOXPmxI0bNyo6l7cn/uyzzxSdY7fbmf11YGAgJiUlkb8FBAQ4RDNu3LhB\nokyufBPmzZvH2s2bN0/RmIzC48ePyVYkQIbSoVyExyiysGnTJtbP559/ruickydPMk0GcTJfuHAh\nidrUrl1b8zOFVw/19vZ2ayxmInNhkoVshkuXLpGHcIsWLTStNqW2sHPmzMHk5GQS4gMAbNmyZabJ\n2UrJAiJdaYaEhGBMTAwuW7aMRUYAMvI4Dh8+rPp67lbuvN5FuXLlWAIovy2hx+xGKaTKnt98842m\nfpKSkogfh5KJXxAERti8vb3dZpsLgoBTp04l6nylSpVSFcmIjo4mngZKBHsOHz7M2jdr1oz9nd8y\n4oWUpGQmV65cuGnTJqf9a7VP14tz585h8eLF2bV9fHxw5syZTokeTxb0qKDy0TMlAlRyv8kjR47g\n1atXWc6Rj4+P5i1OqTR6VueNmHCESRayIY4cOUISsbSuNnfu3OkwEQuCgOPHjyeaDOXLl8fIyEgP\n3AmFHFlApCvNDh06ICLiqVOnyCrGz89PU5a61DK6c+fOKAgCPnjwgCjC8doMfEmrkVLKriA1nho7\ndqymfvgVY968ed2aNF26dIlEslwhNTUVO3fuTB7q7733niY57NmzZxOy4S5Pgo848WHuLVu2kCiF\nIAg4bdo01WSGL8mcPXu26vvRAmnCZd68ed1WEKxcuVI3WRAEgSVQ+vn5uVws2O12ErECyNgyvHfv\nHgqCQCIiWkmu9LuvVwrehGdgkoVsih07dhhic8yrE2EmGgAAIABJREFUJvKKb1u2bCEWvKGhoYbI\nELuCM7LgbKX58OFDkrgHADhgwADVkZZt27aR93LQoEHYrl079n9p5jbvZaHWbVIPpJLYWvd++T36\nHj16uGzLy0a7Cmvfv38f33jjDTK+wYMHa5aZttvtpD93ZmCivoCXlxdJ/k1NTWXlmiEhIQ5kpnHj\nxorIDF9RMmvWLE33pBR2u93Bi6Jq1aoYFRXl9lwjyMLJkyfJ++MM8fHx2KRJEzLOTp06sa1Rvozz\n1Vdf1SSWJP1tfvvtt5ruyYTnYZKFbIzly5frZtzSiZhfuVy+fJmUMHp7e+PUqVM9Zs7ijCwgOl9p\nWq1WkkMAkJF/oLYEdMWKFQ7Kf+IEI02y45Osjhw5ou+mVYJX1LNYLJoSUe/cuUPK2A4ePOi0LV/L\n7kzj4siRI6RyIyAgAJcsWaJ6XFKcOXOGRQD8/f2dlsdFRkaya9eqVcvhuJxyoLjSVUpmeIfEmTNn\n6rovV3j27BmpQgDI8DlQqmppBFngcwxmzJgh2+bq1atkG9Pb2xsnT57Mng3x8fEsXwQANOUXGO3E\na8KzMMlCNod0L09LKJ7vQ6qqFh8fT2qaATK2PbSW8bmCK7LgbqU5e/ZsUtNdrFgx1cI+fMa7+JLb\nn+7Xrx87riVXQg8EQcCBAwey62s1npo0aRLro2LFirLRGF46uWzZsrL9LFy4kOhgFCpUyNCkz6+/\n/pqQQLnJYvLkyayNnG8Dn8wrkhm1pmJ//vmn2wlUL65du0ZcYi0WC44bN07VBGkEWeC9NeSiGVu3\nbiULDDntEz761rx5c9VjOH/+PIaGhrI+9FQCmcgcmGThPwB+JeDt7Y0bNmxQdX56ejrWqFGD9SF1\nUkxPT8dvv/2WPHDlyrb0whVZQHS/0ty7dy9RiwsODsa1a9eqGoM063zp0qUObfr378+Oq6k/Nwp2\nu52IJGkxnrLZbEQpUm6Lgd+nl4Z/bTYbfvnll+S9qlOnjiLxIzVITEzEwoULs2vITfK8DPeFCxfI\nsSVLlhAy4+3trWnriLd+NsKUSwrpBJwnTx5Napt6ycK9e/fY+ZUqVSLH5PKZ5FRVjx075lBurAa3\nbt3CAgUKsGu88847mqu+TGQeTLLwH4AgCITJazFLOnHiBHsI5MiRQ1YHfsmSJQ6CMEYm+LkjC4ju\nV5pRUVEOltzDhw9XVK4VGRlJJhaADE0C6UObt5R2FcL3JIwwnjp8+DB7qAcFBTn4UPDhcP4+5Ur5\nvvjiC485/fFiS+Hh4SQpMy4ujhHI4sWLs++DHMEVX1q0MXi576lTpxp2b3ITcJkyZTQrEuolC3x0\nbejQoezvycnJDq6wLVq0cNAnSU9PJ7+/8ePHq7p+TEwMlipVip2vV73URObBJAv/EdjtdpKUlzt3\nbtVSxPxePF9+xuP48eNEalZLSNcZlJCFxMREUgUhd+2kpCT8+OOPyYOtVatWLrO6BUEgroq8IU+O\nHDnIZMlvA2Sla2dycjJJ8CxYsKDqVRyf79GyZUvSt5woz/nz54mglY+Pj8cT/hARW7Vqxa7ZvXt3\n9vfFixezvw8cOBARM7bOpAJevMy3FnvtJUuWsPOnTJliyD3JlSo3a9YMnz59qrlPvWSBJ6BiPs6d\nO3fI1oT4HsoR8KlTp7I2FSpUUOU38/TpU0I0SpcurVnp0UTmwyQL/yFYrVbiW/Dyyy+rKnlUmpQU\nHR1NEt8AAL/++mvNme8ilJAFxAxDImcrTRGCIOCYMWNI0mKFChWcvh+rV68mEZO4uDgyQfEmXnz4\nXa8TqF7Ex8cTRz+1D1ip74W4hSWVTkZEXLt2LUmMzJs3r2a7b7WQJmWKJI1PXty1axdeuXLFIfFu\n6tSpePfuXfa3ihUrqr4+n9k/adIk3fcjFwHTY8UugicLalf1vLfGyy+/jHa7HQ8cOOCg7rpq1SrZ\n8+/du0eMwtQQ6ZSUFOI8qoX4mshamGThP4bExESsVasW+9EVK1ZMVW6B0nKn1NRU7Nq1K3nYaa2p\nF6GULCAitmzZUnalKcWmTZuIXoJcCWhCQgKJlqxcuZLdY/369R3IF69ouG/fPs33axRiYmKInG61\natVUhW751XnhwoUxMTGRSCevXbvWwTuhSpUqmf4w5xMZy5cvj4mJieyzDQkJwb///tuh3Peff/5h\n5/N2y2p1Q5YtW8bOnThxoq772Lt3LyFoRsqr8+6gasmClCD+9ttvpGyxSJEiLl1WP/zwQ9a2W7du\niq9rs9nIltdLL72EFy9eVDV2E1kPkyz8B/H48WOSVV2pUiXFk7ggCNigQQN2riv9BkEQcPr06brU\n+nioIQvOVppyuHz5MtkHlZaA8pN/48aNSR7Es2fPiIlXsWLFiLpdZq2s3UHOeEppUpggCIQUffPN\nN0Q6uVmzZoQofPzxx4pL+YyEdD+cJ6tVq1Z1SLyTEoJRo0ZpnvCNklGWOjEWK1bMUOM2PWShe/fu\n7FzpNk5ERIRLwzVe/CosLMyt0qcIQRCI9kVQUFCmlyObMAYmWfiP4s6dO2Rv/6233lJsTXzlyhXm\n+Ojj4+O2BHHXrl2qpHOdQQ1ZQKTlf+72R588eUJyEgAy1BqPHTtGKiyuXbvmcG5sbCwhX2FhYezf\n7hT1MhPScrOWLVsqLjfjP3Oe/PFhZVfeCZmFY8eOMVLAT7r8Sy7xDhHx4sWLrM3bb7+t6rp6wvuI\nGVuE/GQMANigQQPFk6pSaCULgiAwssmTLgDAvn37uvxtJScnkzwWNeXb33zzDTvP19cXt2/frvhc\nE9kLJln4D+Py5ctkYmvWrJniyYNXkHv77bfdThBypjxjxoxRNbGoJQs2m43s14tGT86Qnp5ObIul\nk6ErlcC7d++SEj7xld1c7w4fPkwkgkX5aiWQqgbyr9y5c2sigJ4An4grfbna9xcEgUWYLBaLW2ty\nHvwk7O57JoVcjs+XX37pEd0ArWTh+PHjDu+lr6+vIpXQoUOHsnPq1q2r+Ps2btw48rxYsWKF4vGa\nyH4wycJ/HMeOHSPh+s8//1zRj1nq+KhktSBn96tGfU4tWUB0tJCWK/mUQloCCpAhJuROaOrq1atk\nrxkAsuVKSCqRq1STX/qZi6/SpUvj5cuXPTxq5Xj69CnRJBA/e2eJdzz4lawaMyI+AVaNL8exY8dI\nPoy/vz/++eefis9XC61koW3btuT9zJcvn6IExUuXLrHvmq+vr+JcA/63DpB5fhsmPAeTLDwH+Oef\nf1iIGSCjckEJtm3bRkLvSkKmdrudWMkCZOwnS2v45aCFLCBStbgmTZooIkP//PMPCbf6+voqcmE8\ndeoU0WKIiIjQXQXiCUilwJVMcCkpKVinTh2HUHl8fHwmjFg55s+fTz47Ly8vxZn3Bw8eZOepURZc\nu3YtO08qWuYMf/31l4Muiae9RNSSBbvdjj/88AP5zCtWrIh37txxe64gCEQQ67vvvlM0xrVr15LP\nb8SIEYrOM5G9YZKF5wQrV64kk4fSUCqf4eyq6kAKaZldeHi42zJDrWQhPj4e8+fPz85VklkuNRQS\nX4MGDXI7+UvFab744otsqVnP+2kAAM6bN89p23v37pFqAfHFm4tlNWw2G1HP5F/9+vVT1Ifdbmel\ngIGBgYqjXuvWrWPXGjVqlNtxStUta9eubbjiqRzUkAU5H4qQkBDFuU28qmXRokUVvZc7d+4kZHvA\ngAHZ8rdjQj1MsvAcYc6cOeTBMH/+fLfnSGun1cgbnzt3DosWLUpW764mLK1kATFjJc2v4FyVDu7f\nv5+1zZUrl8Pk37BhQ5fWzbwdstpVVWaD90VwZjx1+PBhQrakr+yQlxEbG0sqNviognhvx48fV9QX\nn2ioVA58/fr17JyRI0c6bSenbtm9e3ePqVtKoTS34vr161iuXDmH93PYsGGKrhMXF0ek1ZXks5w4\ncYI8Szp06KBbV8JE9oFJFp4zSF0L161b5/Ycvr69UqVKqhKzYmNj8Z133iEPpN69e8tmV+shC4Ig\nYOPGjdn5/fv3l22XlpZGEjHFEsqZM2eS7PoSJUo43X/9/vvvHSYrAH0ldZ6CIAhklevn50e0BxYs\nWEC2qMQXnxhbpkyZTJvs5CBVjeRD2DyBqFatmqItoc2bN6uOnPAaBM7C5ufOncsSdUsefG6FM7Lw\nzz//kKoZ/nuvVL69R48e7Jw2bdq4bX/lyhVCLpo0aaJK3dFE9odJFp4zCIJAXBP9/f3drhylpkNq\nFezkwsf16tVzyEbXQxYQM7wdxD1ii8Ui637466+/smtUrVqVTC67d+8mk2TOnDllTbn47G8+X0Jp\ntCazYbfbsWPHjmyMwcHBePDgQYfPhFc+7N+/PzEXcxd69xTWrVvnoBrJi44dPnyYSHMrkWJOTU1l\nfYaGhioiv3///Te7xs8//+xwfM2aNaQKJW/evFlSVuuKLAiCgJMnT3bQRRG3BfLnz69opc/nfQQH\nB+Pdu3ddtpeWcdepU0fxVoeJ/w5MsvAcwm63E036XLlyuTXX4U2HgoODFSVASTF//nyyipUqwukl\nC4hUeKd69eqEDNy+fZs90L28vGTFX27duoWVKlUikYORI0eSfdVhw4ax49u2bSPqhhaLBdesWaNp\n7J6EzWYj4kp8tQQAYK9evUhG/K5du4i5WEBAgGrVQz1wlih74cIF9h0qWLAgCoKABw4cIATP3eSF\nSHNxdu3a5bb9pk2bWHu+xFYuQbBq1apZJlXsjCykpqZip06dyDg/+OAD4nmhJCfJZrNhxYoV2TmT\nJ0922V6qUVKxYkVdKq8msi9MsvCcIi0tjYgUhYeHywoS8VAbepTDwYMHidY8X/JmBFmwWq3k4cTb\nCfNeD1988YXTPhITEx1Kydq2bcukr/nJYevWrQ7RGj8/PwdJ6eyA5ORkrFatGrkvX19fnDt3Llqt\nViKdLK62+ejDe++9lynJaHIluKJqJL8n36tXL3YOL0/dunVrt9fgJ0lnW1Y8eIXCn376CREzEgSb\nN29OxvnJJ59kibqlCDmycP/+fRKNAQAcMmQIpqenExXMjRs3uu1/woQJrH3lypVdRmUSEhJI0mzx\n4sUzJcnTRNbAJAvPMRITE/GNN95gP+aiRYvi/fv3nbaXJjVt2bJF03WdudjNmzdPN1lARNy3bx9Z\nad67d4+sDJ2ZT/EQBAFHjhxJchIqVaqEt27dIuJF4ntgt9uxQ4cOJDzr6TI5tVi9ejUJlQNk6Es8\nfPgQt2/fzv7Wvn17ds7Tp0+JjLQSLQM9uHnzJlm5enl54ejRoxlJ+eyzzwhRE/H48WPy3fz7779d\nXic+Pp5FVwoXLuyWBG3dupV8V69du0ZIqcViwfHjx2d5Zr+ULBw5coR8foGBgbhs2TJEzPjO8rLe\n7rYGpJG5w4cPO21rtVqxYcOG7LpqTe1M/PdgkoXnHI8fPyZZ0e7ChAsXLmRtixUrpnnvMTk52aEK\ngVdj1EMWEBG7dOnC+mrZsiWpylAjirNhwwaSwR0WFkbCuZs3b2Zt09LSiMVvdjHEkQuV8+Vr1apV\nIxUCUiU9Xur4lVdeUWVSpQZysuH8pG+z2djx4OBgBxEtvpRPNMRyBb5q4dSpUy7b8pojn3zyCRGF\nypMnDyEuWQmeLHz00Ufkcy5UqBDZbjx69Cg71rRpU7d985G5nj17Om2Xnp5O3EBz587t0oDKxPMB\nkyy8AJBKGdepU8dpKFUQBKxbty5rq7TUyllf48ePd9CiN4IsxMbGkmRF8VWvXj3Vq7+LFy8SZUN+\nvNKSseTkZHz77bfZ8QIFCihSlfQUnIXKL1++jAUKFHAgD76+vvj06VPShyAIZMtqwIABho5REASc\nMWMGycovWbKkA9Has2cPOy63DSZniOUKM2bMYG1//PFHl2137Njh8F0CACxbtqzb7bvMBE8W+Ndb\nb72FMTExpC2fezN37lyX/fLVIOHh4U4XFIIgYK9evUgkIzs4s5rwPEyy8ILg6tWrikubLly4wB7s\nfn5+eOXKFV3X3rJlC7EWNmpC4qMg4kSodaUfFxeHjRo1cngIy9Xpx8fHE3fEkiVLOjyoMwPSWnpp\nqPzChQukhA4gQ2NCDtJKE3cJsUohZ7DUqFEj2W0i3h3UWXRIaoLmytHxzp07rL9KlSq5HCe/jSW+\nmjdv7rEoi1ZIv/MAgD169JAtfeUrnFxtPyYlJZHFxOLFi5225SNYPj4+2cZPxITnYZKFFwhS0ZTP\nPvvMaSnVt99+y9rVr19f917tlStX2P6pOCFNmTJFV792u52Ei9944w1dY0xPT8dBgwaRB3GZMmUw\nOjraoW1MTAyxxa5SpUqmyiZv374dQ0JCSChYLsfk8OHDpDKiVq1aTt9zXuCpRo0aumWuY2JiHOSl\nnSloCoLAojve3t4upcd/+ukn8pm7Kgfky0Nv3Lgh2yYqKgpLlixJxvnjjz9mO0GhCxcuOPyGnOk8\n3L59m7WrXr26y36V/tanTJlC3qNFixbpvicT/x2YZOEFw86dO0l545dffin7cJCuNpYsWaL72tOm\nTXNYFXXu3NmtwZMzLF68mPTl7e3t1m5bCdq0aUP6LViwoKx6YFRUFDERevvttz1eXy4IAk6cOJFs\nlbz22msuoz/SidCZd4jVasUyZcqwdjNnztQ8zpMnT2KhQoVYX+4Mli5dusTa1q1b12XfqamphKi5\n2tLiCZBcGeDevXtJxA0AsFWrVorvM7Owfv16okchRhScYebMmaydK7fV8+fPK4oiLlq0iFxbid6F\niecLJll4AbF69Woy2TgzztmwYQNr8/LLL+teOUud6PjVoaswqRyePHlCSjTFV506dXSvCPkJRnwF\nBATIEqaLFy+SpD1PKtelpKSQagGAjMQ1aQ4CDz4Uz7+cfea7d+8m0QotpXDLli3DwMBA1s8rr7wi\nq3nBY+zYsay9EqXMnTt3svZ58uSRjf4gZqzGxXb16tUjx2bNmkXyKMTX4MGDld+shyEIAo4YMYJU\n7YgvV+ZhfA6Ksy0lu91OIj/O8jo2bdpE3ic9eUwm/rswycILirlz55IHjzNfez55rk+fPrquyZOF\nrl27kglFrWNf7969yYTJJyg6uxel4IWfSpcu7TCRSMPoUpvw9u3bGx7Cvnv3LgmpAwAOHTrU7XVm\nzZpFiAx/vrOkN14N8pNPPlE8RrvdjkOGDCHXqFWrliIi+Oabb7Jzrl69quh6fCnrp59+KttGEAQW\nWbFYLBgbGyubR8GX+ip1bfU05PRA+PfJGVlISEhgCa2isJUc5s+fz/oqUaIEpqSkOLTZv38/+Z1m\nV1M1E56HSRZeYPCTojNlwqioKMyRIwdro9TMRw5SUaYTJ06QML6/v78iG+ljx46xlVaOHDkwKiqK\nZLOHhobiw4cPNY9z9OjRrK8VK1aQMk2ADPEiaba41G2vb9++hj1UDx48SPaqc+TI4VD+6AzSFab0\nM5fTVXj48CHJh9ixY4fb68THxzuQkU6dOslOQFLExMSwz7NMmTKK7ks8T8k4v/76a9ZmypQpZMIF\nAPzqq69w165d7P+DBg1SPAZPQU6PYtSoUaQawhlZWLNmDZnc5RAbG0siYtu2bXNoc/bsWZIT9OGH\nH2ZLu3YTmQOTLLzAEAQBBw4cSCZrOWlcPkQslVhWAzkFx+joaKxduzZ5eLuykU5PTycqhfwD85NP\nPmF//+yzzzSNERFxzJgxrJ81a9agIAg4bdo0B839y5cvk/PWrl1LtndEJUA9+P3330mOSeHChfH0\n6dOKzn327JmDdLIgCKTqwM/PT3aS5QW0SpYs6XLSv3r1KvGdsFgsOGnSJMVkiV/hfvvtt4rOUTNO\nXi5arPiQklPeqfSrr75SNQajIedhIqov8kTAGVn4/PPPWRtn1Qo8Af74448djkdGRhKn0oYNG2ap\n2ZiJrIdJFl5wSJUJc+bM6WDQlJaWRkr0ZsyYoelazuSerVYrkfMFAGzcuLFsed306dNZm3LlypH8\ngOjoaLIS2rlzp6Zx8uSIt3z+999/HUSFpA/jBQsWkPuYOnWqpjGkpaVh3759SV/16tVTFTFxJp0s\nCAIRngoKCnLIKbDb7WQF7oz4bN26lbznISEhiiIRPFq0aMHOP3jwoKpz7XY7IZs//PCDQ5v09HSH\n0t2CBQsSB0aeUAwcOFDVGIyCEj0Kd2TBbrdjeHg4i0DJkSdeATVXrlwO20QPHjzA4sWLszavv/46\nJiQkGH/DJv5TMMmCCUxLS8MPPviAPRzy5s3rsG+8d+9edlxr4psrbwhnD8pLly6xNg8ePGD+BgCA\ne/fudbjG7NmzyepfS6XFuHHjWB/SMP2NGzeIBbaXlxeOGTOGrKInTpxIJia1JWaPHj3CiIgI0kef\nPn1UJ046k05GzFBL5PNR5NQoz549y6Ipfn5+5DshCAL++uuvJJKiRcAoOTmZbXOFh4drilpJM/r5\niI/NZiMW3gAZ1SPShEjeadFoUSolUKpHwZMFuSTVQ4cOsePNmzd3OC4l/tOnTyfHnzx5QozWypQp\ng7GxscberIn/JEyyYAIRM0ol+RVakSJF8N69e6QNvxp1llDmCkqMpFxJAvPbDJ06dZI93263E1Md\nV2VjzjB+/Hh2/sqVKx2OuzJCEvH999+zY97e3opMfBART58+jUWKFGHn+vr64rx581TfAy+dnDNn\nTlnSlJKSQtQ65dQo+f3+Bg0aoCAImJKSQqJRAIDNmjVzWZXhDLxyYOfOnVWfL4LXChBVPB8/fowN\nGjQg4wSQ36I6fPgwO67EeMpIyG3Fff3117LEae3atS7JwnfffceOyyX6utpSTE5Oxrfeeosdf/XV\nVzW5z5p4PmGSBRMMcXFxZNVcvnx5srKRJr6pdV5U6jopl9zFu+eFhIS4DMefOXOGrYj9/f0VZ9eL\n+PXXX9m1nCUSylksV6lShVkXC4KAX3zxBTsWEBCAe/bscXndlStXslU2AGC+fPnwwIEDqsYugpdO\nbtu2rdN2T58+JWqUpUqVIu9tYmIivvrqq2QlqqUqwxn47ad169Zp6gMxg+zy/iAjR47EYsWKEcIm\nJqC+9NJLDm6KR44cYW379u2reRxqcfz4cVVJvu7IAv/7lUb/bt68ySobpMnKUt+TvHnz6lZuNfF8\nwSQLJgju3btHVrZvvvkmWTHzCWWlS5dWFeZXY1Ett3oXX+507hGRKDGKK2Kl4G16ly9f7rLt2rVr\nSdlkeHg408pPT0/Hjz/+mERJ5Gre7XY7Dh06lNxj9erVda3q+CRGdxUmUjXKqlWrkijB+vXr2TF+\n20FNVYYceFfEgIAA3dbPmzdvlv2+5M2bF/fu3UvEtnbv3k3O5U2X9JYIK8WSJUtIwqWS8mFXZOHW\nrVvsWM2aNckxQRBItUq/fv3YMbm8JT1VTyaeT5hkwYQDrl27xpKkAADff/99tl9ut9uJ7fWIESMU\n96uGLIjXkq7eg4KC8ObNm27Pla6IXendS8HnHIh2v65w7tw5sor19fVl92e1WrFx48aETPCRjqdP\nn5IVHUCGToMeJUg10skibt26RYyn6tWrR5LjeMdQgIyqDHdOju7Ar+aVuCK6g91uJwqUIvG5ffs2\nIlIVQmlewrFjx9ix3r176x6LK6Snp+PgwYPJOJUKk7kiC7xC6i+//OL0vPz58zMyKK2I8vPz05wY\nbOL5hkkWTMji5MmTJJmQFxriw/wBAQGKfezVkgXEjBIu3ttAunp3BV6BMjw8XLa6Qg6TJk1i5y1d\nulTROXL74z179kSr1YpJSUmksqBw4cJ4584dvHr1KpncLBYLTpgwQbc+gxrpZB5S46nmzZtjSkoK\nDhgwwGG1boRlM5/XoSUvg8fTp0+xWbNmDuPkKzPi4uJYImSRIkXI+3zixAnyuXkK8fHx+P7775Mx\nqpE8d0UWGjZsyI7x5bUJCQlkq4OPlinRWjFhAtEkCyZcYPfu3URoaMCAAewBy2eYv//++4omOLVk\nQRAE8mDly998fX0VbUe0bNmSneNKS5/H5MmT2TlqPDFsNhtZpQFk+EU8fPjQIR/k1VdfJWQsJCQE\nt2/frvharsDrREycOFHVuUeOHMGgoCB2/iuvvOIwAQNk5GdI9/3Vonz58qw/LdU1IqSki5dGLlu2\nLNEH4AndmTNn2N9PnjzJ/u5MyEgvLl++TBRBvb29cdq0aarIoTOywGtqFCpUiPTJb8k1atSIHZsz\nZw75TH///XfjbtbEcweTLJhwCanQ0MiRIxEx4+HEh615PQJnUEsWeLW6V155BW/evIn169cnD7je\nvXu7LCm8c+cOySlQUsfPu+up2b4Q8ccffxAhpVdffRVPnTqF9+/fJ/Xr/ISmtuTQFfgoxvXr11Wf\nv2PHDgfPBG9vb5wxYwZJPJUzZlKKyMhI1s/rr7+uuZ8tW7YQnYc8efLgpk2biHzzqFGjWHtep4Ov\nlDl16pRqUqkGmzZtIuQwNDRUdYIwonOy4ExTQ5rsK34fVq5cSUiVK58JEyYQTbJgQgGkBlDiRM8/\noAoWLOhWuEVtgiMfOhUT6Ww2m0NYvG7dui6rI/hthQoVKrjVK5g6dSprr9WG9/Dhw0QBLzAwEP/6\n6y+ibQAAGBYWho8ePdJ0DTnw0slly5bV1Me6detI4h0AYPfu3RGR6hEEBwfj3bt3NV2Dj97wk7lS\nCIKA48aNc6rzcOLECXaM3yrjrZurVKnC+jtz5ozDvRoBQRBw7NixZGKuUKGC4q07KXiyMHr0aPZ3\n3s9DtCqX5heJeQw7duwgZDa7eGGYyN4wyYIJReBD26KngCAIxHvAnUyuGrLAZ/PzoVMR8+fPVyyD\nbLPZSILe+PHjXV6bTxRT4lXhDPfu3cPXX3/dIZIgfbVq1Up3SF+EHulkQRDwl19+cTpOcduHFw9q\n06aNpnG+8847rA+1tuJJSUnYrl07MrYWLVrgs2fPSDueVDZu3Jh9h/iog6grcfbsWfa3rl27aron\nJeNs2bKlLjXEdevWOZCF9PR0Jg8dFBTEElOAvK5CAAAgAElEQVR5szixckm6zdS5c2fTGMqEIphk\nwYQiyHkK/PvvvxgZGclWod7e3mQfWAqlZIFXDvT393caopczWJIzRkLMKI3jzaek4kM8+FD1n3/+\n6bSdEqSkpBBCJb5Pw4YNI5oKRj20eenkQ4cOKT5PzuHwww8/xOHDhxOSuHLlSnz8+DHmzZuX/d2Z\n/4AzxMXFsc+3WLFiqu47KirKoTLjxx9/lNV5ePbsmWxi34gRI9jfpkyZgogZFS3i37p06aLqfuRw\n+/Ztol8BkLHtodeNVI4s8FLVLVu2RERHk62dO3c62Km3aNHCMJJq4vmHSRZMKIYgCCTcGRwcjMeP\nHyer0TfffNPpA1EJWZBq/btTYJSzbh42bJjsGPr06cPaNG3a1OkkNWPGDNZu4cKFbt4V15g7d67D\n/j9AhuTw/PnzSaXHoEGDdBEGqXSy0onp1q1bROLXy8sLR44c6dJ46s8//2R/K1q0qCqNhMWLF7Nz\n1Ugr79mzh5CU4OBgt9n7vDzyyy+/jPHx8Xj+/Hn2t4iICETMqAThiZse7Nu3j5QeBwcH49q1a3X1\nKUKOLPDqlfPnz0dEKvXdoUMHjIqKIsSpbt26ihxBTZgQYZIFE6pgs9kclN7OnTtHsrydlcEpIQt8\nm5IlSyoqKUtOTsb27duTybh58+YOYen4+HiSR+Bsopk5cyZr88cff7i9vhzS0tKwd+/eZEyVK1d2\nSMb77rvvyH42vw+tFrx0stLV8Z49exwcDjds2EDaCIJAnAyDgoLw8OHDWK9ePfa37777TvE4P/ro\nI7LidQdBEHDmzJmEdBUvXlzR9oUgCOT72rt3bwcditjYWLx48SJr40xKXAnmzp1LCGDRokXx3Llz\nmvuTQo4siF4PXl5eGBMTgzt37iTfsQsXLpDfp1R0y4QJJTDJggnVkNOQX758Oft/aGiobNKeO7IQ\nGxtLwqRq3AvljI3KlSvnUA3Aj7NAgQIOhAIRcdasWazNggULFI9BxMOHD4nnAkCG34DNZsPr168T\nIx+LxUKUBQEAZ8+erfqaiFQ6ef369W7bz5o1y2ECvnDhgmxbm81GtjhCQ0Nx48aNbGL09fV1ei4P\nq9XKqgLy5MnjNtk0NTXVwZH03XffVSQ0JeLWrVss4uLl5YVHjhwh5YQLFy4k2hQdO3ZU3LcIOXJY\nv359w02YpGThxo0b7P+1atVCq9VK7MInT55McjRKliyJMTExho7JxIsBkyyY0ASpO13ZsmXJpPf5\n5587nOOOLHTp0oUd//jjjzWNa+vWrUSPQWqZLAgCUVSUC4PzzpViWFcpTp06RZQj/fz8HPp49uwZ\nmXjFqIP4by8vL7cy01Lw0smBgYEutwWsViv26NFD9QSckpJCogkFChQgNtpvv/22222UHTt2sPbu\nzMgePHhAykABMpJoteyz8+ZglStXxt27d7P/t2zZEq9cucL+L2c05QquyKHRkJIFvsx35MiROHLk\nSPb/mjVrkkTSV155xWWujgkTrmCSBROa8eDBAyJzXLVqVTJRS1UWXZGF/fv3s2M5c+ZUJH3rDFeu\nXCGrK29vb5w8eTKbyPikTIvFgidOnCDn82I1aoRqli9fzox6ADL2yJ0lGdrtdvzxxx/JBJMvXz72\nb19fX1UqibxrYrNmzZy2i4mJIVEhAMCBAwcqntikxlMlSpTAwoULs/+727bh80ZcEaKjR48SHY+A\ngADNZayIGSt/XiPi119/ZfkPgYGBpHSyffv2ivs9ffo0uX85cmgkpGSBF5navHkz+V7zx0JCQlRX\nnZgwwcMkCyZ04fr162SS45X0ypcvT8LMK1euZMd4ZcS0tDSibihmqOtBfHw8fvDBB2RS7NSpE8uB\n4GVupVa9y5YtY8eUGCWlp6fjkCFDyLVq1qypSINg1apVpJSN1zfIkSOHIhEpRCRJpnLWxIjyUQ8t\nORlS4yleaCosLMxl6F3cO/f19cX4+HjZNgsXLiTKoQULFjTE2OjQoUMsPyQoKIiYfC1dupT9W6nc\n84oVK0hFy8svv6z489IKPh9h8uTJbBuoSJEi2KhRI3aM/z3lyJFDVWWMCRNyMMmCCd04deqUgzqd\n+G9+lZWUlIStW7fG5s2bY2JiIvv7woULWXsjZIRFyE3itWrVwvv376PVasWyZcvKkpfExERs1aoV\ntmzZ0m2Wvxwp6dixo6pM8zNnzhCnTz7hMU+ePHj27FmX59vtdqavEB4eLpsvIo165M+fHw8fPqx4\njFJIs+v5KoXBgwfLjhERmQKnXKhfTi67du3aGB0drXmcUvC24U2aNEFvb28WXRo2bBi+9dZbbhMS\n5VxCa9SooVmgSg3S09OxQ4cO2LhxY4yJiWFRDT6vI2fOnJojVCZMOINJFkwYgj179pBVsZhoOHHi\nRDxx4gT26dMHq1WtylaM/v7+WK1qVezTpw9LNvP29sYjR44YPrZly5aRifKVV17Bo0eP4r59+9jE\nPGnSJLfjlG5XXLlyhWSZWywWnDRpkqbyx0ePHmFERASZgPgVK2+C5Wycr5UujR07diTjtNvt+N13\n3zlEPe7du6f9Df1/SOv2xVVuly5dnI6xSuVK2Lx5czxw4ADpKzY21kHKu0ePHsTXwQg8efKE5XY0\nadIEFy9ejB999JHiz1zOsKpDhw4eL0N09n5WqlgRW7duTUTTeNKp1AjNhAl38EJEBBMmDMCGDRug\nVatWYLfboXTp0tCxY0fYvm0r7N6zFwqE54UG1StBpZLFIVdQDniWlAxnrkXCP8fPwL2Hj6DMa6/B\n8J9/hrZt23pkbCdPnoQWLVrAnTt3AADA398f1q9fDwEBAbBr1y7Ys3uXonFG1KsHc+fNg/j4eGjQ\noAE8ffoUAABCQkJgxYoV0KBBA81jtNlsMGjQIJg6darDsfXr10PZsmWhe7dusGv3bkXjnDN3Lgwd\nOhRWrFjB+vnss89gzpw5EBAQoHmcPI4dOwYRERGQlJQEOXLkgAEDBsDePXtg/4EDit/L4OBgqF27\nNty4cQMAAHx8fGD69OnQo0cPQ8YoRVRUFMyePRv27tkDBw8dUjzO8PBweOONN+DixYsAAGCxWGD8\n+PEwcOBA8PLy8shYr1+/rvgzL1e2LPj6+cHp06cBAGDmzJnQs2dPj4zLxIsHkyyYMBR///03zJkz\nB8qWLQvTpk2D/KEhML5PF2hapxb4+Hg7tE9Pt8PG/Yfh6+m/w4O4J/D7779Du3btPDK2mJgYaNOm\nDezfvx8AAOrXrw+dO3eGrl27qh5n1apV4cCBAwAAUK5cOVi/fj0UL17ckHHOnz8fvvjiC7DZbAAA\n0LBhQ2jXrh306tVL1TjvP46D1NRUAMiY2H799VcYMGCA4RPbwYMHYcSIEZA/f35YunSp6veyWbNm\nsHz5cgAACA8Ph9WrV0OdOnUMHSOPJUuWaPrMO3ToAHPnzgUAgDx58sDy5cuhYcOG2Wqc92Mfw2tl\nykD//v2hU6dOHhubiRcPJlkwYTiWLFkC7du3h/aN3oGZ3/SFoED3q9iklFToNW4aLNq2ExYtWgSf\nfPKJR8aWlpYGQ4YMgXXr1sF7770HM2fO1DzOsLAwaNKkCUyZMgVy5sxp6DgPHToE/fv3h6CgIOjQ\noQN07dpV9Th7jpsGi7f+C68WLgxz5871+MSm5zPPly8fVKlSBebMmQOFChXKtuMsXLgwFC9eHGbN\nmgUlS5bMtuP05G/IxIsJkyyYMBTXrl2DSpUqQZu6b8KCYV+BxWIBAIAnzxKg74SZ8PeBI2CxWKBV\nvdowZWBP8hAUBAE+/2UCrNpzEM6ePQslSpTI1HGO+mMZbD54FE5fiwR/X194vH2V7LlZOc47MY/g\nlwVLYNeJMxD9+AkUyPsSfNIoAr7v1A58fXyyZJzOPvMW3/wEp6/dgIdx8RCSKxgaVK8CY3p3hvxh\nL2X6GF2NU0SazQavd+kPZ6/fhFN/zoCKJYplq3EWbfkZ3I55xNp5eXnBqJ6fwzft/7d1l5njNPFi\nwSQLJgzFOxERcPv6VTj950ywpaeDn68P5AgIgPcHDoWYuCcw59v+kGZLh89HTICaZUvBXz8NBgAA\na1oaJCSnQKC/P1Tq0AsKlywFO3ft8vg4d88cB3mCgyEoMACG/74I8gQHw52YR7Dg722yZOFOzCMo\nlC8vJKWkZsk49585Dyv+3QufNIyA4gXzw/nIKOg2ejJ0eK8+jOvTFQD+916G5cmdKeOUfua+Pj4Q\nFBgAU5avgzfKl4H8YaFw71EsDJo6D7y8APbNmUjGmdmfuXScIgZMmg2Rd+/DlsPH4eTC6YwsZPU4\nxd9QsVYdoWuz96Bb88YgPrVz5giEwAD/LBmniRcLFvdNTJhQhhMnTsCu3bvho/pvQ5eRE6FA008h\n8u4DuHzrDmw7cgJ++24gVC9TCt6sWBamftkTlv2zB6IfxwEAQExcPBRs1h4+Gz4O2kTUhl27d8PJ\nkyc9Ms6jR4/Crt27IV9IHijVtgvcuPcAAAB+7NIe+n/UAioUL+L03GKtO0Kj/t/B2j0H4JfuHTJ9\nnI1qVYffv/8S6teoAkXyvwxN6rwOX33SGtbuPsDOE9/L1t/+DDuOnoRRPTt6bJxyn7n4fvb/qAXU\nLFcaCuXLC7XKl4HBHT6Ewxcug91uJ+PMjM/c1TgBALYcOgb/HDsJ4/t2A+n6KavHGXn3f+MMzhEA\neUPyQHhoxkskCpk9ThMvHkyyYMIQnDt3Drp16wYWiwXmrtsML+XOBbtmjIMKJYrCofOXICRnMFQp\n/b+QaIMaVcALvODIhSsAAPDqy+FwaN4kePXlfLBw8w6weHnB559/bujD7ty5c/D1119DREQEWLy8\noGKJomyMSnFx6TyoWbY0/DD3T+g5bhrkCAiAESNGGDZGLeOMT0yE0Fz/y5ng38ue46ZB319nQlBg\nIIwdO9bwcTr7zKWIe5oAS7bvgtoVyoG3t7fDOD31mSsZZ0zcE+gxZgr89eM3EOjv53B+dhknAMDY\nv1ZA3sYfQrWOveHXxasY8crMcZp4MWFuQ5jQjLi4OFi0aBEsXLgQLl68CAH+/lClRGHYNnk0ydoe\nvXAZ/LXlX7i4bB45/+X3P4bh3TpAj5YfkL8LggAN+30Hp25EQWpqKpQoUQI6duwIHTp0gPDwcF1j\nfO+99+DsmTPwZqkisPDHb2TPWbhpB3w5ZY7TnAURe06ehW6jJ8PNBzFQuHBh+Oyzz6Bjx45QpEgR\nVWPUOk4AgOt37kONzn1hQr/u0LlpI4fjgiDAlkPHoM+vM+FOzEMoV7685vdSbpzOPnMR386cDzNW\nbYDkVCu8Ub4MbPx1OITkckwGNfIzVzvOD74cBnUqlYMhHT+GqAcxUKx1J4echewwzsnL1kLV0iUg\nNFdOOHjuIgyZOR8+b9IIfu3XzePjNGHCjCyY0Ixp06bBgAEDIGfOnHD9+nVISU2FpnXekJ005ICA\nsmV8FosFPqhdE5KTk+HmzZuQP39++Oabb2DMmDG6x7hmzRq4e+8eVCmtP5O9btWK0LNVE/D29oY3\n3ngDhg8fDl9++aWmvrSM897DWHj/y6HwYf23ZYkCgPhevg79PmwOPr6+ut5LuXG6+8y/+bQtnFo4\nE7ZPGQXe3hb4bPh4F+M05jNXM86pK9ZBQnIyDO7wIQBkfCddIavGCQAw4OOW8HaVClC+eBHo3uJ9\n+LVfd5i+agPY0tM9Pk4TJnzcNzFhQh49evQAPz8/WLhwIZQpUwasVivcexQLiJQEvPxSKDx8Ek/O\ntdvt8ORZIuQLDZHtOybuCVitVnjttdcgNDQUfvzxR+jcubPuMbZq1QqsVivkzBGoui8pTl65BlsO\nHYO0tDTYuXMnDBo0CLp06aKpL7XjvP/oMdTvOxjq/F97dx5WVbk9cPzLJKAozqbgLGZmWpI5liHV\nzcquCSoOqJiSI6Y5Vjao95YojjhhzohKkFo5lrOp19TSNFNxAnNkcAIZz/n9cX5nd5inszfT+jzP\nfR4OZ+/9LoHbWXvt931Xq2dZNnlMjtc++NsfbD14hOTkZCIiIgr8s8wqzux+50ZVHStS1bEiTerW\noVn9utTr7s3/zv1F22ebZTrWXL/z/MS5/+QZjp39C7tXuqU7v42PH/3+5cbKTz8qFnFmpe2zT5Oa\nlsa1W3dwqeukapxCyGMIYRbHjh2jY8eO2NrYUL1yJfq+4YZ3V3eaN6zPX9eiaNHvA35duUCZt7D7\nfyd5+6OpRG0N5qlqVQG4GHmD4J17Wb9rL7eiY0hOTWP//v28/PLLZotxzZo1LF26lMoODnzw3ltK\njKZyegxx4+491u/aR/DOPVz5+zZN6zlx7mokSUlJmZbiqRXn33ejcR89iTbPNGXt5xOz/FAx/VnG\nPHhIs/p1+e3SFZKTk80SozHO7H7nWYm8fZeGPQayb5E/r7zwXKY41fid5xbnjbv3eBifoBx7814M\nb479lLD/fspLzZ+mTo1qxSLOrKzftRef6QHc2xmKo0MFzeIUZZMkC8JsXnR15ZmalXmnYzvWbP+J\nn3/9jVNrAnm2UQPeHjeVu3H3WTxhFMkpqbz/3zm81Pxp1v7/8/ioO/do5DEQt9atGPj26+w48isX\nYx7y64kTZo+z9QsvUMkijfJ2dulijLpzj9iHj9h68ChzNoRzYMlsAJo411GW2Nl0eos2zzRl4Fuv\n4/X6q4yZs4Q/78ZpFmfVShXpPHwCDWrXYvXU8VhZ/ZOgGKs0GX+WPTp3ZLj/QlXizO53npCYxPE/\nL9CpVQuqVHQg4sZNPl++lnv3H/DH+mXYWFtr+jvP6W/TVFZzFopDnI8SnvC/cxdwc21JxfLlOfLH\nn3w0P4i3OrzEyk/HaR6nKHvkMYQwm/YdOrA5dBMrP/mIXq+9wu2YWBzsDWX09V9OYnTAIl73m4Kl\npSUebp2YP3aYcm51x0pc/W4NzjVrkJqaxuTFq3ivV29V4uzYqRObQzdxNXw10Q8eKDF+vnwta3fs\nUY5zHTQKgL2BM5U74XMhQTSt5wwYttndc/K0pnGG7zvMlZu3uXLzNvW6ewMoJevUX7YD6X+WaseZ\n3e/82q07bN5/hC9XrCf+SSK1q1flzXYv8skgL2XzKC1/5zn9bWaUsVJTHOK8FPU3m37ez7QVwSSl\npNCwzlOM6+vBWK/3iiROUfZIZUGYzalTp3B1dSX8q6m892rHAl/nu/2H8Zwyg5MnT9K6dWszRmgg\ncZpPSYgRJE4hCkuSBWFWXdzcuH7pIqfXLc7TfvYZabkzosRpHiUhRpA4hSgMWTopzCpo+XJuxcYx\nwn8hOp0uX+fqdDpG+C/kVmwcQcuX535CIUic5lMSYgSJU4jCsPriiy++KOogROlRtWpVGjVqxBf+\nAVz9+zZvtHWlnE3uU2PinyTi+9U8gnftZc2aNXTu3FniLCFxloQYJU4hCkeSBWF2zz33HC4uLny9\ncBHBO/fiXLMaLs5OWS4tTE1NY8vBI3hMmcHxvy6xZs0a+vTpI3GWsDhLQowSpxAFJ3MWhGoiIiLw\nHTqUffv341SzBu6urWjl0ghHhwo8eBzP6UtX2HPyNH/fvUcXNzeWBQUBMHz4cDp37szkyZOxtlZ/\nwU5B4iyK1r8lIc6SEGNxjVOv1xMcHExISAgzZszA1dW1WMYpyii9ECo7efKkftSoUfoXXV31tra2\nekBva2urf9HVVT9q1Cj9yZMnlWNbtmypB/SA3snJSb98+XJ9UlJSsYuzKJWEOEtCjHp98YhTp9Pp\nf/jhB/0LL7yg/O3Xrl272MUpyjapLAjN6XS6bHc77NSpE7/88ku679WtW5cJEyYwZMgQ7LNZG6+G\njHFGRUXRqlUrALZs2cIrr7yiWSw5yennWVwUlxifPHmCu7s7p06dYtq0aUycmL5Jl5Zx6nQ6Nm/e\nzIwZM/j999/TvVe/fn2uXbuW47nF4ecpyg75axOay+k/cv369cv0vaioKPz8/GjYsCH+/v48evRI\nzfAUGeNcuHAhcXFxxMXF4e7uTmhoqCZx5OaXX37BycmJ7t27U1xy/8TERNq2bUvTpk25ceNGsfhg\ni4qK4sUXX+To0aMkJSUxZ86cTMdoEWdqairBwcG0aNECT0/PTIkCgIeHR47XKA4/T1G2yF+cKFba\ntGmT7Xt37txh0qRJ1K9fny+//JLY2FgNIzPMUjdKTU2ld+/eTJo0ibS0NE3jyGjw4MHcvHmTrVu3\nMnv27CKNxcjb25vjx49z6dIlRo4cWdThcODAAVxdXfnzzz+V79na2moaQ3JyMitWrKBZs2Z4e3tz\n/vz5bI9t166dhpEJkQdF/BhEiHSePHmit7a2Vp7d5vQ/BwcH/YIFCzSLbdasWVnG8frrr+ujo6M1\ni8PU48eP0/287Ozs9BcvXiySWIz27Nmjt7CwUGKqU6dOkcWi0+n0CxYs0FtZWWX6vTVv3lyzOLZt\n26avW7dunv6uAX1ERIRmsQmRF1JZEMWKnZ0dLVq0yNOxjx8/xs/PjwcPHqgclUFSUlKW3//pp59o\n06YNp0+f1iQOU7t27SI1NVV5nZiYSN++fUlJSdE8FoC4uDgGDhyY7nHIzZs3093RayUxMREfHx/8\n/PyyrP6YswNnbgYOHEhUVFSejnV0dKRRo0YqRyRE/kiyIIqd/Oxl7+bmRsWKFVWM5h+JiYnZvnf1\n6lXat2/Pxo0bNYnF6Lvvvsv0vRMnTvD5559rGgcYlv4NHz6cGzduZHovPDxc01iioqJ4+eWXWbNm\nTbbH5PT7NDd3d/c8H/v8889n2XZciKIkyYIodlxdXfN03JAhQ9i+fbtmk71y+3B58uQJffr0YcKE\nCenu9tWSnJzMjz/+mOV7X3/9NQcOHFA9BlMhISFs2rQpy/e0TBYOHjyIq6srJ3JpzaxlsrBu3TrG\njRuXp2Ol8ZMojiRZEMVObv+xtLGxYeXKlSxfvhw7u/w32imovH64zJ49Gy8vL9VXJuzbty/bRzB6\nvR5vb2/i4uJUjcHo+vXrjBgxItv3T58+zeXLl1WPY9u2bbi7u3Pv3r1cj9UyWbCxsSEgIICwsDDK\nly+f47GSLIjiSJIFUey0bNky12pBy5YtNYrmH9nNWchKeHg48fHxKkYDmzdvzvH9qKgohg0bpnrS\nkpaWxoABA3j48GGOx2lRXVi9enWeqzpaJgtGHTt2lGRBlEiSLIhip3z58jRv3jzT9xs0aABASkoK\nnp6emi+dzOuHS7ly5Zg+fToODg6qxZKWlsaWLVtyPS40NJS1a9eqFgcYKikHDx7M9TgtkoXx48fj\n5OSUp2NTU1M1eVxkOl6fPn2Ijo4G4Kmnnsp0jL29PU8//bRmMQmRV5IsiGLJ9O7K0tKSr776ivPn\nz9O2bVsArl27hre3d75b+BZGbsmCo6MjkydP5tq1a3z66aeqxnLs2DHu3LmTp2NHjRql2iOA3377\njalTp+bp2OPHjxMZGalKHEZt27blypUrrF69mmeffTbX47WsLkydOpX9+/cDUKdOHX7//XeWLVtG\nuXLllGNatWqFlZWVZjEJkWdFunBTiGzs379fX65cOX3t2rX1e/bsUb4fGRmpr169urIeffr06ZrF\n9O677+a4Nv7QoUOaxTJu3Lg8r9kH9FOmTFEljgEDBuQrjrlz56oSR1ZSU1P1Li4uOcZz7949TWLZ\nunWrMqa1tbX+8OHDynsnTpzQN2rUSA/oly1bpkk8QuSXVBZEsdS5c2fu3r1LZGQkXbp0Ub5ft25d\nNmzYoCwt++yzz/jpp5+KJMZmzZql25568eLFmo2dl0cQRhUqVODVV19VJY5OnTrlazVKVks91XLo\n0CEuXboEgIuLCz169Mi0JFGvwfbYV65cYcCAAcprf39/OnbsqLx2dXXl4sWL3Lp1C19fX9XjEaJA\nijpbEaIgZsyYodypVatWTX/9+nXVx9y6dau+evXq+k6dOum3bNmiT0tL08fHxyuVDisrK/2VK1dU\nj0Ov1+urVauW7d1y+fLl9ZMmTdKvWrVKf/ToUf2DBw9UjSUqKkq/Y8cO/bx58/TDhw/XW1paZhtb\ny5YtVY3FVNeuXZVxQ0JC9Hq9Xn/hwgW9r6+vvmrVqvrevXurHsOTJ0/SdZP09PTU63Q61ccVwtyk\n66QokXQ6He+++y7btm0DDM+qDx48mO75r1amTZumbII0atQoFi5cqPqY+/btIzw8HCcnJ5o1a0az\nZs3o378/p06dwsLCgoSEBE2XlRpFRUVRr149ALp27cpXX33FxYsXuXDhAjExMXh7e2sy2//MmTNK\nh9D69esTERGBtbW16uNmNHToUL755hsAmjZtyq+//kqlSpU0j0OIQivqbEWIgoqJidE3aNBAuWsb\nNWpUkcQRHR2tL1++vB7Q29vba/YcPKP+/fsrP4szZ84USQw///yzEsNHH31UJDHo9Xq9t7e3EoeW\n/UNMrVq1SonB3t6+yH4nQpiDzFkQJVbVqlUJCwtTugcGBgYSEhKieRzVqlVjyJAhgGEXx8DAQM1j\nAMMcCqO//vqrSGK4cOGC8nXTpk2LJIbIyEg2bNgAGP5GBg8erHkMp0+fZvjw4crrZcuW8dxzz2ke\nhxDmIsmCKNFcXV3TfTgPHTqUc+fOaR7HuHHjlCVvgYGBqm/IlJXikCxcvHhR+bqo9guYN2+esn/C\nqFGjqFChgqbjP3jwAE9PT2VZ5gcffIC3t7emMQhhbpIsiBLv/fffx8fHB4CEhAR69OiR626C5la/\nfn28vLwAiImJYeXKlZqOD+mThfPnz2s+PhR9ZSEuLo6goCDA0MF01KhRmo6v1+sZNGgQERERgCGZ\nnTdvnqYxCKEGSRZEiWdhYcGiRYuUCW0XL17k/fff12RZnKmJEycqXwcEBGi6OyBAkyZNlGWMRV1Z\nqFixYpY7FKptyZIlSlVn8ODB1KhRQ9PxAwIClGWtVapUISwsrEgmmgphbpIsiFLB3t6e8PBwHB0d\nAQgLC9P8jq5ly5a8+eabgKGxUmhoqPexLDoAAB+HSURBVKbj29ra0rhxY8Bwh6/l7pZg6J1x7do1\nwFBV0LrNcmJiIvPnzwcMu37mtcujuRw6dIjJkycrr9etW6dsUS5ESSfJgig1GjdunK4PwoQJEzh8\n+LCmMUyaNEn52t/fX/PqhvFRREJCAjdu3NB07MuXLysJSlHMV1i7di13794FwNPTU0mctHD79m16\n9+5NWloaAB9//DFvv/22ZuMLoTZJFkSp8u677zJlyhTA0GypV69eee6hYA6dO3emTZs2gGFG/O7d\nuzUbG4p2kmNRzldIS0tj9uzZyusJEyZoNraxQdStW7cA6NKlC9OmTdNsfCG0IMmCKHWmTZuGm5sb\nALdu3cLLy0uz+QMWFhaZqgtaKspkoShXQmzdulXZ2rlLly68+OKLmo2dsUHUhg0bpBmUKHUkWRCl\njrW1NRs2bKBOnToA7N+/X/UukKa6d++Oi4sLAHv37uXEiROajV0WKwt6vZ6ZM2cqr00nmqrt+++/\n5+uvvwYMf3ehoaHUrFlTs/GF0IokC6JUqlWrFqGhocoWvzNnzsxX86XCsLKyYvz48cprLasLpnf0\nWi+fNK0saJksHDp0iOPHjwOGSaZvvPGGJuPm1iBKiNJEkgVRanXs2DHdc+yBAwcq69/VNmDAAGrV\nqgVAeHi4ZuNWq1ZNWS5YVJWFOnXq4ODgoNm4psnYxIkTNVmFkZiYiKenJw8ePAAMEyo//PBD1ccV\noqhIsiBKNT8/P3r16gXAw4cP8fDwICEhQfVx7ezsGDNmDGBoehUQEKD6mEbGRxG3b9/m/v37mowZ\nGxtLdHQ0oO18hbNnzyrNxOrVq6f8rtU2evRofvvtN8BQRVmxYoXmS0WF0JIkC6JUs7Cw4JtvvlE+\nQM+cOcPw4cM1WdI4fPhw5Q571apVmq3KeOaZZ5SvTecRqKmoHkGYVo7GjRuHjY2N6mOuXr1a6SRp\nb29PWFiYdJIUpZ4kC6LUq1ixIuHh4UqPgLVr17J8+XLVx61cuTIffPABYNiwSIvW1VA0kxyLYiXE\njRs3WL9+PWDYLfH9999XfUxpECXKKkkWRJnQvHlz5W4QDGVkLVYpfPjhh8rd7qJFi3j06JHqYxZF\nslAUKyFMG0aNHDlS9XkS0iBKlGWSLIgyw8vLCz8/PwCSk5Px9PQkNjZW1TGdnZ3p168fAPfv39ek\nolEWKgv3799n2bJlgGGb69GjR6s6nl6vx8fHRxpEiTJLkgVRpsyaNYv27dsDhv4N/fv3V72Hgulu\ngnPnziU5OVnV8erVq6c0L9Jq+aQxWbCxsdGkH8LSpUt5/PgxAD4+PqrvbTBnzhw2b94MSIMoUTZJ\nsiDKlHLlyhEaGkr16tUB2LFjB//5z39UHbN58+Z069YNMDxn37Bhg6rjWVlZKY8CLl++TEpKiqrj\n6XQ6ZffExo0bK3tbqCVjw6iPPvpI1fEOHTqUbldOaRAlyiJJFkSZ4+zszMaNG5V2zp9//rnqPRxM\nP2xmzZqlejXD+CgiNTWVy5cvqzrWjRs3ePLkCaDNfIXg4GBu374NgIeHB02aNFFtLGkQJYSBJAui\nTHJ3d2f69OmA4Xl03759iYyMVG28jh070qFDBwDOnTvH9u3bVRsL0i+fVHvegunkRrXnK+h0OmbN\nmqW8VrNhlDSIEuIfkiyIMmvy5Mm88847AMTExNCzZ0+SkpJUG0/LBlNaTnLUco+F77//XhnPzc1N\n6fCpBmkQJcQ/JFkQZZalpSVr166lYcOGABw/fpxx48apNt4777yj3PEfOnSIo0ePqjaWlsmCVpUF\nLRtGSYMoIdKTZEGUaVWqVCE8PBxbW1sAFi9erGz0Y26WlpbpyuZqVhdM7/BLS2Xh8OHDHDt2DIDn\nnnuOf/3rX6qMIw2ihMhMkgVR5r3wwgssXrxYee3r68vZs2dVGatv375K6+ytW7eq9kFevnx56tev\nDxiSBTW3tzZWFhwdHVW9+9aiYZQ0iBIia5IsCAEMHjyYwYMHA5CQkICHhwcPHz40+zi2traMHTsW\nMJTVTXsbmJvxUcSDBw+U1QPmlpiYyPXr1wFDVUGtZkrnzp3jxx9/BKBu3br07t1blXGkQZQQWZNk\nQYj/FxgYyPPPPw8YSuuDBw9W5Y7c19cXR0dHwLBm/+bNm2YfA7SZtxAREaH8jNScr6BFwyhpECVE\n9iRZEOL/2dvbEx4eTuXKlQEIDw9n7ty5Zh+nUqVKSjOi5ORkZYMhc9Ni+aQW8xUyNowaMmSI2ceQ\nBlFC5EySBSFMNGrUiLVr1yqvJ06cyKFDh8w+jp+fH+XKlQMMWxcbn5GbkxaVBS1WQsyfP1/ZhXLE\niBFmbxglDaKEyJ0kC0Jk0K1bNz7++GMA0tLS6NWrl9mf+deuXZuBAwcC8PDhQ6UpkjlpkSyoXVlQ\nu2GUXq9n8ODB0iBKiFxIsiBEFqZNm4a7uztg2PLXy8tLaYdsLuPHj1cmz82bN8/sG0LVrFlTeaSi\nRWXBxcXF7NdftmyZ0tZ70KBB1KpVy6zXnzNnDt999x1geMTx7bffSoMoIbIgyYIQWbCysiIkJAQn\nJycADhw4wCeffGLWMZo2bcp7770HwK1btwgODjbr9S0sLJTqQmRkJPHx8Wa9PvxTWXB2dqZChQpm\nvXZSUpJyl29hYWH2hlFZNYgybtAlhEhPkgUhslGzZk2+/fZbpYuiv7+/0qbYXEx3IVSjwZTpowjT\nKoA5xMTEEBMTA6gzX8G0YVSPHj3MWrmQBlFC5I8kC0LkoH379syZM0d5PWjQIKUdszm0bduWzp07\nA4YP8++//95s1wZ15y2oOV9BzYZR0iBKiPyTZEGIXIwaNQovLy/AMBnRw8ODhIQEs13ftLowc+ZM\ns+7toGayoOZKiB9++EG5fufOnWnbtq3Zri0NooTIP0kWhMiFhYUFy5cvV/Yt+OOPPxg2bJjZPtS7\ndu1KixYtADh27BiHDx82y3VB3b0W1KwsZNza2VykQZQQBSPJghB54ODgQHh4uDKJb926dQQFBZnl\n2hYWFpmqC+bSsGFDZbfDklJZ+OWXXzhy5AgALVq0oGvXrma5rjSIEqLgJFkQIo+eeeYZVqxYobz2\n8/PjxIkTZrm2l5cXdevWBWDbtm1ma2RlY2NDkyZNAEMlwDihzxyMlYVy5copTavMwbSqMGHCBLP0\nZpAGUUIUjiQLQuRD7969GTNmDGDYqtnT01NZEVAYNjY2jBs3TnltOrmvsIzzFpKSkpSmT4WVlpam\nTPRs0qSJ2Z75nz9/Xpnk6ezsrMwVKSxpECVE4UiyIEQ++fv706FDBwCuX79O//79zbLkcciQIVSp\nUgWAkJAQIiMjC31NSD/J8fz582a5ZlRUlLKJlDnnK5g2jBo7dqyyJXZhSIMoIQpPkgUh8qlcuXKE\nhoZSo0YNAHbu3MmMGTMKfV0HBwdGjhwJGJb3mWvbYTVWRKgxX+HmzZusW7cOAEdHR4YOHVroa545\nc0YaRAlhBpIsCFEATk5ObNy4EUtLw/+FvvjiC3bt2lXo644ePVrZbjgoKIjY2NhCX1ONyoIaKyEy\nNoyqWLFioa734MEDPDw8pEGUEGYgyYIQBdSlSxf+85//AIaGRH379i30nICaNWvi4+MDQHx8PEuW\nLCl0nGrs4mh6HXMkCw8ePGDp0qWAoXLj5+dXqOtlbBDVunVraRAlRCFIsiBEIUycOJFu3boBEBsb\nS8+ePQvdEOqjjz5SKhbz58/nyZMnhbpepUqVqFOnDmC+xxCmlQVzPIYICgri4cOHAAwcOJCnnnqq\nUNfL2CAqLCxMGkQJUQiSLAhRCJaWlqxZs4ZGjRoB8OuvvzJ27NhCXbNx48Z4enoCcO/ePdasWVPo\nOI3VhejoaKKjowt9PWNloUqVKlSvXr1Q1zJ3wyhpECWE+UmyIEQhValShfDwcOXOdcmSJYXuIGm6\nSdPs2bMLvT+COR9FPHnyRFmp0bRp00IvQQwJCeHmzZsAdO/evVCVCmkQJYQ6JFkQwgyef/55Fi9e\nrLz29fXljz/+KPD1XF1dcXd3B+Dy5ctKSb2gzLkiwrSRVmEfQWRsGFWYrZ2lQZQQ6pFkQQgz8fHx\nYciQIYDh7tvDw0N5Dl8QpqX0wjaYMueKCHOuhNi2bZsSz8svv0y7du0KfC1pECWEeiRZEMKMFi5c\nSOvWrQHDHbiPj0+BP+Rfe+01XnjhBQBOnjzJvn37ChyXOSsL5txjwVwNo6RBlBDqkmRBCDOys7Mj\nLCyMypUrA/Ddd98xZ86cAl3LnA2mnJ2dlSZYhU0WzFVZOHLkiNJhs3nz5rz11lsFuo40iBJCfZIs\nCGFmDRs2TDfBcdKkSRw8eLBA1/L09FRm8u/evZvff/+9QNexsLBQqgtXr15VNioqCNPKgouLS4Gv\nYzpXYcKECcpy0fzI2CDKw8NDGkQJoQJJFoRQwdtvv80nn3wCGJou9e7dW5l4lx/W1tbplhKalu3z\ny5gs6HQ6ZbOi/NLr9UqyUK9ePezt7Qt0nb/++outW7cChvkFffv2LdB1/Pz8lAZRLi4urFy5UhpE\nCaECSRaEUMmXX36prGgwLukzbmecHz4+PspeBqGhoVy9erVA8Zhj3kJ0dDT3798HCvcIIiAgQJnL\nUdCGUWvWrGH58uWAoUFUeHi4NIgSQiWSLAihEisrKzZs2ICzszNg2Czo448/zvd1ypcvz+jRowFD\nlaKgcyDMkSyYY+fGW7dusXbtWsCwu6Svr2++r3HmzBmGDRumvF66dKk0iBJCRZIsCKGiGjVq8O23\n32JjYwMYNlgqyJ4JI0eOpHz58gCsWLGiQLswmiNZMEdPiAULFpCcnAzA8OHD810NyNggytfXN90E\nRyGE+UmyIITK2rVrl64aMGjQoHR36HlRrVq1dHs4BAYG5jsOFxcXZRJhQfdaKGxl4eHDh0pzrII0\njMqqQdT8+fPzHYcQIn8kWRBCAyNHjqRPnz4APHr0CA8PD+Lj4/N1jbFjxyqbDAUGBub7fFtbW6WH\nxV9//YVOp8vX+VD4ysLy5cuVlQve3t5Kg6u8kgZRQhQNSRaE0ICFhQVBQUE0b94cgLNnzzJs2LB8\nbdjUoEEDvLy8AIiJiWHlypX5jsP4KCIhIYG///473+cbKwu2trbUq1cvX+cmJyczd+5c5fX48ePz\ndb40iBKi6EiyIIRGHBwcCA8Px8HBAYDg4GCWLVuWr2uYbtIUEBBAampqvs4vzLyFtLQ0pfzfpEmT\nfG+lvGHDBiVB+fe//50ultxIgyghipYkC0JoqFmzZqxYsUJ5PWbMGI4fP57n81u2bMmbb74JwPXr\n1wkNDc33+Eb5TRauX7+uTEzM73yFwjSMkgZRQhQ9SRaE0FivXr2UXQaTk5Pp2bNnvlY3mJbi/f39\n8/UoozDJQmHmK+zYsYNz584B0LFjRzp06JDnc6VBlBBFT5IFIYqAaf+CyMhI+vXrp5TYc9O5c2fa\ntGkDwOnTp9m9e3eexy1MslCYlRAFbRj1ww8/KA2irKys2LRpkzSIEqIISLIgRBGwsbFJ98G3e/du\npk+fnqdzLSwsMlUX8qpatWrKbpBaVRaOHTum9MZo1qwZ77zzTp7Oy6pBVKdOnfI8rhDCfCRZEKKI\nODk5sXHjRmXvg2nTprFz5848ndu9e3elidPevXs5ceJEnsd95plnALh586ayjDEvClpZKEjDqMTE\nRHr27KlsLe3h4cHYsWPzPKYQwrwkWRCiCLm5ufHf//4XMGw41K9fP65fv57reVZWVumWHuanumD6\nKMK0WpAb47FVq1alWrVqeTrn4sWLbN68GYDatWvTr1+/PJ3n5+fHqVOnAGkQJURxIMmCEEVs4sSJ\n/Pvf/wYgNjYWT09PkpKScj1vwIAB1KpVC4Dw8PA8d5IsyLyF+Ph4bty4AeSvqmDaMOrDDz/E1tY2\n13OkQZQQxY8kC0IUMQsLC1avXk3jxo0BOHHihLJaIid2dnaMGTMGMCxNDAgIyNN4BUkWLl26pHyd\n1/kKt2/fZs2aNQBUrFiRDz74INdzpEGUEMWTJAtCFAOVK1dOt3Xx0qVLlc6MORk2bJiyydOqVau4\nc+dOrucUJFkoyHyFhQsXKhWSYcOG4ejomOPx0iBKiOJLkgUhionnn39eabIEhg/YM2fO5HhOlSpV\nlDv2pKQkFi5cmOs49evXVx4H5DVZyO9KiEePHrF48WLAsPLDWAHJjjSIEqJ4k2RBiGJk0KBBDB06\nFDB0l/Tw8Mh1xcKHH36otMBetGgRjx49yvF4Kysr5QM/IiKClJSUXOPKb2Xhm2++UVYy9O/fHycn\npxyPN20QlbHKIoQoepIsCFHMLFiwgNatWwOGD/NBgwbluEujs7Ozssrg/v37fPPNN7mOYVw+mZKS\nwpUrV3I93lhZsLCwUOZWZCclJSVdS+7cGkZJgyghij9JFoQoZuzs7AgLC6NKlSoAbNmyhdmzZ+d4\nzoQJE5Sv58yZo/RwyE5+5i3o9XqlslC/fn3s7e1zPH7jxo3Kyolu3bopnTazkrFB1JQpU/K8aZMQ\nQjuSLAhRDDVs2JDg4GDl9eTJkzlw4EC2xzdv3pxu3boBcOPGDTZu3Jjj9fOTLNy9e1d5FJLbfAW9\nXp/nrZ0zNohyc3OTBlFCFFOSLAhRTL311ltMnToVMCyN7N27t/LBmhXTD2Z/f390Ol22x+YnWcjP\nfIWdO3dy9uxZANq3b6/0v8jKZ599pjSIql27Nhs2bMDa2jrH6wshioYkC0IUY59//jmvv/46AHfu\n3KFXr17ZTkjs1KmT0s3x3Llz7NixI9vrmlYIcksW8rMSImNVIbtdF3/44Qe++uorwDDhMjQ0VNlg\nSghR/EiyIEQxZmVlxfr163F2dgbg8OHDTJkyJdvjTasLM2fOzPa4ChUqUK9ePcCQLOQ0gTKvlYXj\nx48rlYKmTZvy7rvvZnmcNIgSouSRZEGIYq5GjRp8++23yvLIgIAAwsLCsjy2W7duyiOGQ4cOcfTo\n0Wyva1wRcf/+fe7evZvtcXmtLOSlYZQ0iBKiZJJkQYgSoF27dsydO1d5PXjw4CybQFlaWqZbGZFT\ng6m8zlswVhbs7OyoW7dulsdEREQQHh4OwFNPPUX//v2zPE4aRAlRMkmyIEQJMWLECPr27QsYdkj0\n8PAgPj4+03H9+vWjTp06AGzdujXbRMA0WTh//nyWx6SmpnL58mXA8OGeXXtp04ZRY8aMyXJDJWkQ\nJUTJJcmCECWEhYUFQUFBPPvss4BhEqOvr2+m+Qa2trZKaV+v12e7R0NeKgvXrl1TJlRmN1/hzp07\nrFq1CgAHB4d0jaCMpEGUECWbJAtClCAVKlQgPDxcaR4VEhKSrp+Eka+vr9K4ad26ddy8eTPTMXlJ\nFvIyXyEwMFBpGPXBBx9QuXLldO9nbBA1dOhQaRAlRAkjyYIQJczTTz+t3MmDoTfE//73v3THVKpU\nieHDhwOQnJycZVOmWrVqKQlFdslCbishHj9+zKJFiwCwtrbO1Fo7qwZRCxYsyPXfKIQoXiRZEKIE\n8vT0VB41pKSk0LNnT6Kjo9Md4+fnR7ly5QBD2T9jQyoLCwulunD9+nUSEhIyjZNbZWHFihXExcUB\nhrkSxiWeRtIgSojSQZIFIUqomTNnKjskRkVF0a9fP6XHAhh2RRw4cCAADx8+ZNmyZZmuYVw+Cemr\nCFl9L2OykFvDKGkQJUTpIcmCECWUjY0NoaGh1KxZE4Ddu3dn6q0wfvx4ZWnivHnzlLkFRrnNWzBW\nFqpXr07VqlXTvRcaGkpkZCQAb7/9Ni1atFDeu3PnjjSIEqIUkWRBiBKsTp06bNq0SVnSOG3aNLZv\n366837RpU9577z0Abt26la45FeScLDx+/FiZGJlxvkLGhlGmFQRpECVE6SPJghAl3Kuvvqr0WQDo\n378/165dU16bbgE9a9asdA2mctprIadHELt37+bMmTOAYcMo0+2aP/vsM/bt2wdIgyghSgtJFoQo\nBSZMmED37t0BiIuLw9PTU1mq2LZtWzp37gwYHit8//33ynmNGjVSPsgzVhZyWgmRXcMoaRAlROkk\nyYIQpYCFhQWrV6+mSZMmAJw8eZIxY8Yo72dsMGXcyMnGxkY55+LFi+kmSGa3EuLEiRPs3btX+b6x\nYZQ0iBKi9JJkQYhSwtHRkfDwcOzt7QEICgpi9erVAHTt2lWZgHjs2DEOHz6snGd8FJGYmKhMWITs\nKwumDaPGjx+PlZVVpgZRPXr0kAZRQpQikiwIUYq0bNky3Y6Ow4cP5/Tp01hYWKSrLpg+RjBdPmn6\nKMJYWbC0tKRx48YAXL58Wel4WatWLby9vYH0DaKaNGkiDaKEKGUkWRCilBk4cCC+vr6AoVrg4eHB\n/fv38fLyUrpG/vjjj5w9exbIekWEXq9XKgsNGjTA1tYWMGyyZJwgaWwYlVWDKOPOkEKI0kGSBSFK\nofnz5+Pq6goYqgGDBg3C2tqacePGKccYG0xllSzcuXOHR48eAf/MV7h79y4rV64E/mkYlbFB1JIl\nS2jZsqWK/zIhRFGQZEGIUsjOzo6wsDCqVKkCGFpVz5o1iyFDhijfW79+PVFRUenmIxiTBdPJjcb3\nAwMDlRUWvr6+WFpaZmoQZdwxUghRukiyIEQp1aBBA9avX6/MHZgyZQonTpxg5MiRgGHzpHnz5uHo\n6Ejt2rWBf/ZayLjHwuPHjwkMDAQMDaPGjBkjDaKEKEMkWRCiFOvatStTp04FQKfT0bt3b3r27Kk0\ncwoKCiIuLk55FHHv3j1iYmIyVRZWrlypNIzq27cvYWFh0iBKiDJEkgUhSrnPPvuMN954AzDMOxgx\nYoSyH8Ljx49ZsmRJunkLFy5cSFdZaNiwIQEBAcrrLl26pFtZIQ2ihCj9JFkQopSzsrJi/fr1ykqI\nX375hZSUFKWfxPz585WNmcDwKMJYWShfvjxHjhxR9l9wd3dnypQp0iBKiDJGkgUhyoDq1asTFhaG\njY0NAKtWraJt27aAodqQkJCgHFuxYkUqVqwIQPv27dO1to6NjZUGUUKUQZIsCFFGvPTSS8ybN095\nffr0aaUvhF6v580336R+vXoMGDCAkydPYmNtzd07d7h8+TJgeBzx22+/AdIgSoiyxkJv3CReCFHq\n6fV6vL29Wb9+PWDoGbF9+zbOnj2HU80avPZiK1q5NKZShfI8jE/g9KXL/Hzid/6+G021alWJiYnF\nysqKffv28fLLLxfxv0YIoRW5LRCiDLGwsGDZsmXUqlWLP/74g4ULF1C7alXCv5pKt07tsLa2ynRO\namoaPxw+xvjAb3hobc2HY8dKoiBEGSOVBSHKoJCQEPr370//f3Vh8cTRVLDPfdlj/JNERvgvJHjX\nXoKDg+nbt68GkQohigNJFoQoYy5dukSrVq3w7NyBVVM/UlZF5IVOp8NnegBhB45w5syZdKsohBCl\nlyQLQpQxXdzciIy4yO9rF2eqKNx/9Bgba2sq2NsRdecedWvVyHR+/JNEWnmPoL5LU/bu26dV2EKI\nIiSrIYQoQ06ePMm+/fvxH/m+kiikpaWx7Zf/4fXpf3Hq1o8rfxuWRr46YgIdhn7I0u+2cf/RY+Ua\nFezt8B81mH379yttqYUQpZtUFoQoQ0aPHs2Wb0O5EraK89ciWbvjZ9bv2ktqmo6eXV5m4Fuv89Kz\nhsZRf9+NZt3OPQTv3MPVm3fo1qktA956jX+1dUWvh4Yeg3ivV28WLlxYxP8qIYTaJFkQogx5vlUr\nbFMTSU3T8efVSLq2f5EBb73O2x1eynIlhNHJvy6xdsfPbPrpANZWVvR541UuRf7NzScp/HrihIb/\nAiFEUZBkQYgyxNraGl1aGq+88BzBX0zCqWb1fJ2fkprKlMWrmLdpM7WrVSH64WOlRbUQovSSZEGI\nMkKn02FlZUWPVzty7sp1bkbH4uHWkf5vuuPm2kppZZ2VC9ejWLdzDyG79vEwPoFer3WmumNFZqza\nQFpaWr5WVAghSh7ZlEmIMsLS0hJbW1s6tWpB2FdTOXb2PGu2/0zPj2fgUN6evm+44d3VneYN6wMQ\n8+AhG3bvZ/2uvZy6EMHrL73AzJHv8+9X2lPOxoa5G77D1tZWEgUhygCpLAhRhrzo6kqLp6qyaup4\n5XvJKSlsOXCUNdt/4udff+PUmkCebdQAF08f7G1tGfj26/R/swu1qlZJd61B02bz5904mbMgRBkg\nlQUhypD2HTqwOXQTqalpyoTGcjY29HrtFXq99gq3Y2JxsLcHYNuc6TSt55zldVJT09hz8jTv9eqt\nWexCiKIj9UMhyhAfHx/+vnuPHw4fy/L9p6pVxaG8IVnILlEA+P7wUf6+ew8fHx9V4hRCFC/yGEKI\nMqaLmxvXL13k9LrMOzjmhezgKETZI5UFIcqYoOXLuRUbxwj/heh0unydq9PpGOG/kFuxcQQtX65S\nhEKI4kaSBSHKmCZNmrBixQqCd+3FZ3oA8U/ytk9C/JNEfKYHELxrLytWrJAmUkKUIfIYQogyKiQk\nhCFDhlC7ahX8Rw3m3U7ts9zFMTU1je8PH2Vi4EpuxcaxYsUK+vTpUwQRCyGKiiQLQpRhERER+A4d\nyr79+3GqWQN311a0cmmEo0MFHjyO5/SlK+w5eZq/796ji5sby4KCpKIgRBkkyYIQglOnTrFq1SqO\nHT3KH2fPkpSUhK2tLc+1aEG79u3x8fGhdevWRR2mEKKISLIghMhEp9PJzoxCCIUkC0IIIYTIkdw6\nCCGEECJHkiwIIYQQIkeSLAghhBAiR5IsCCGEECJHkiwIIYQQIkeSLAghhBAiR5IsCCGEECJHkiwI\nIYQQIkf/B0tzsdTwwIp/AAAAAElFTkSuQmCC\n", "text/plain": [ "Graphics object consisting of 91 graphics primitives" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/plain": [ "True" ] }, "execution_count": 185, "metadata": {}, "output_type": "execute_result" } ], "source": [ "Q=C4.intersection(H4)\n", "print Q.f_vector()\n", "Q.face_lattice().plot().show()\n", "Q.face_lattice().is_isomorphic(polytopes.octahedron().face_lattice())" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "(1, 6, 12, 8, 1)\n", "0\n", "(1, 30, 60, 40, 10, 1)\n", "0\n", "(1, 20, 90, 120, 60, 12, 1)\n", "0\n", "(1, 140, 420, 490, 280, 84, 14, 1)\n", "0\n", "(1, 70, 560, 1120, 980, 448, 112, 16, 1)\n", "0\n", "(1, 630, 2520, 4200, 3780, 2016, 672, 144, 18, 1)\n", "0\n" ] } ], "source": [ "for d in [4,..,10]:\n", " HP=Polyhedron(ieqs=[[0]+[1]*d,[0]+[-1]*d])\n", " I=HP.intersection(polytopes.hypercube(d))\n", " #print I.face_lattice().is_isomorphic(polytopes.cross_polytope(d-1).face_lattice())\n", " #print I.n_vertices(),',',\n", " print I.f_vector() \n", " print I.volume()\n", " #print I.face_lattice().hasse_diagram().automorphism_group().order(),','," ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "\n", "\n" ], "text/plain": [ "Graphics3d Object" ] }, "execution_count": 11, "metadata": {}, "output_type": "execute_result" } ], "source": [ "T=polytopes.tetrahedron().translation(-polytopes.tetrahedron().center())\n", "MT=Polyhedron([-vector(v) for v in T.vertices()])\n", "MT.plot(opacity=.5,color='red')+T.plot(opacity=.5,color='blue')" ] }, { "cell_type": "code", "execution_count": 12, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "\n", "\n" ], "text/plain": [ "Graphics3d Object" ] }, "execution_count": 12, "metadata": {}, "output_type": "execute_result" } ], "source": [ "MT.intersection(T).plot()" ] }, { "cell_type": "code", "execution_count": 40, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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3uXxZ9uw7dwbq1FEdDWWWh4fcqO3YAcyapToaIn1hwie6S1iYtHaNG6c6Esqq2rWBbt1k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\n", "text/plain": [ "Graphics object consisting of 8 graphics primitives" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "T=polytopes.regular_polygon(3).translation(-polytopes.regular_polygon(3).center())\n", "MT=Polyhedron([-vector(v) for v in T.vertices()])\n", "(MT.plot(color='blue',fill=False)+T.plot(color='blue',fill=False,wireframe=[22,20])).show(aspect_ratio=1)" ] }, { "cell_type": "code", "execution_count": 20, "metadata": { "collapsed": true }, "outputs": [], "source": [ "MT.restricted_automorphism_group?" ] }, { "cell_type": "code", "execution_count": 73, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "-sqrt5 + 3" ] }, "execution_count": 73, "metadata": {}, "output_type": "execute_result" } ], "source": [ "D.vertices()[0][0]" ] }, { "cell_type": "code", "execution_count": 29, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "\n", "\n" ], "text/plain": [ "Graphics3d Object" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "\n", "\n", "D=polytopes.dodecahedron()\n", "DAA=Polyhedron(D.vertices(),base_ring=AA)\n", "I=Polyhedron([2*vector(v) for v in polytopes.regular_polygon(3).bipyramid().vertices()])\n", "\n", "IDI=DAA.intersection(I)\n", "IDI.show()" ] }, { "cell_type": "code", "execution_count": 22, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "A vertex at (0.5466396042136116?, 0.1950530859282357?, 1.115518540785587?)\n", "4\n" ] }, { "data": { "text/plain": [ "x^4 - 86/11*x^3 + 142/11*x^2 - 4/11*x - 4/11" ] }, "execution_count": 22, "metadata": {}, "output_type": "execute_result" } ], "source": [ "v=IDI.vertices()[4]\n", "print v\n", "print v[1].degree()\n", "v[1].minpoly()" ] }, { "cell_type": "code", "execution_count": 43, "metadata": { "collapsed": true }, "outputs": [], "source": [ "D=polytopes.dodecahedron()" ] }, { "cell_type": "code", "execution_count": 44, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "\n", "\n" ], "text/plain": [ "Graphics3d Object" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "D.show()" ] }, { "cell_type": "code", "execution_count": 75, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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QUFDAy/yKvQQK8vIw1P13mGFrVRW8yi+AgU7bKuvNzcuHgoJCvSRMAKCmplahRxL4d2U3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mLS1dWlIUOGSG1bWZxJSUm0fft2Sk1NpZMnT5KjoyMpKSm9N863fUjS1LFDB5ITCkjQSJb4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\nWLRoEVq3bo19+/bVW4lyQgghTY+SJkII+UTIZDJcuHABY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"text/plain": [ "Graphics object consisting of 51 graphics primitives" ] }, "execution_count": 75, "metadata": {}, "output_type": "execute_result" } ], "source": [ "D.graph().plot()" ] }, { "cell_type": "code", "execution_count": 76, "metadata": { "collapsed": false }, "outputs": [], "source": [ "G=D.graph()\n", "H=G.hamiltonian_cycle()\n", "G.plot(vertex_labels=False)\n", "hamiltoniancolors={}\n", "hamiltoniancolors['red']=H.edges()" ] }, { "cell_type": "code", "execution_count": 77, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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mZ7Fi0KcPVK8uy97C4uQU1WNq0gT27IGFCyEuTh0n79sXzp7VOzIhTE4SHAeTePAgXh5V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AHx8XpHJazs7NmztG/fnhdeeAEPDw8iIiJYsmTJw2Xf2fHyy+DtDRMnWu6awqVcvHiRZs2akZqa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\npnXXrg3r16tDw6tWwauvSnEjR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"text/plain": [ "Graphics object consisting of 31 graphics primitives" ] }, "execution_count": 77, "metadata": {}, "output_type": "execute_result" } ], "source": [ "G.plot(edge_colors=hamiltoniancolors,vertex_labels=False)" ] }, { "cell_type": "code", "execution_count": 78, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "\n", "\n" ], "text/plain": [ "Graphics3d Object" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "(D.plot(opacity=.3)+sum([Polyhedron([h[0],h[1]]).plot(color='blue',thickness=30) for h in H.edges()])).show()" ] }, { "cell_type": "code", "execution_count": 79, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "120" ] }, "execution_count": 79, "metadata": {}, "output_type": "execute_result" } ], "source": [ "D.face_lattice().hasse_diagram().automorphism_group().order()" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "collapsed": true }, "outputs": [], "source": [] }, { "cell_type": "code", "execution_count": 80, "metadata": { "collapsed": true }, "outputs": [], "source": [ "def getrandompolytope(n,d):#returns convex hull of n random points in d-space\n", " pts=[[QQ(random()) for i in range(d)] for ii in range(n)]\n", " return Polyhedron(pts)" ] }, { "cell_type": "code", "execution_count": 83, "metadata": { "collapsed": false }, "outputs": [], "source": [ "Classification={}\n", "Classification[polytopes.tetrahedron()]='Tetrahedron'\n", "Classification[polytopes.regular_polygon(3).bipyramid()]='Bipyramid over the triangle'\n", "Classification[polytopes.octahedron()]='Octahedron'\n", "Classification[Polyhedron([[0,0,0],[0,0,4],[0,4,0],[4,0,0],[-1,2,2],[2,-1,2]])]='Tetrahedron stacked twice'" ] }, { "cell_type": "code", "execution_count": 80, "metadata": { "collapsed": true }, "outputs": [], "source": [ "P=Polyhedron([[0,0,0],[0,0,4],[0,4,0],[4,0,0],[-1,2,2],[2,-1,2]])" ] }, { "cell_type": "code", "execution_count": 81, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "5\n" ] }, { "data": { "text/html": [ "\n", "\n" ], "text/plain": [ "Graphics3d Object" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "P=getrandompolytope(6,3)\n", "print P.n_vertices()\n", "P.show()" ] }, { "cell_type": "code", "execution_count": 86, "metadata": { "collapsed": false, "scrolled": false }, "outputs": [], "source": [ "counts={}\n", "for C in Classification.values():\n", " counts[C]=0\n", "for i in range(1000):\n", " P=getrandompolytope(6,3)\n", "\n", " for Q in Classification:\n", " if Q.face_lattice().is_isomorphic(P.face_lattice()):\n", " #print i\n", " counts[Classification[Q]]+=1" ] }, { "cell_type": "code", "execution_count": 87, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "{'Bipyramid over the triangle': 189,\n", " 'Octahedron': 253,\n", " 'Tetrahedron': 5,\n", " 'Tetrahedron stacked twice': 553}" ] }, "execution_count": 87, "metadata": {}, "output_type": "execute_result" } ], "source": [ "counts" ] }, { "cell_type": "code", "execution_count": 125, "metadata": { "collapsed": false }, "outputs": [], "source": [] }, { "cell_type": "code", "execution_count": 140, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Tetrahedron stacked twice False Finite poset containing 26 elements with distinguished linear extension\n", "Tetrahedron True Finite poset containing 16 elements with distinguished linear extension\n", "Octahedron True Finite poset containing 28 elements with distinguished linear extension\n", "Bipyramid over the triangle True Finite poset containing 22 elements with distinguished linear extension\n" ] } ], "source": [ "for Q in Classification:\n", " print Classification[Q],Q.is_simplicial(), Q.face_lattice()" ] }, { "cell_type": "code", "execution_count": 130, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "False" ] }, "execution_count": 130, "metadata": {}, "output_type": "execute_result" } ], "source": [ "QQQ.face_lattice().is_isomorphic(P.face_lattice())" ] }, { "cell_type": "code", "execution_count": 135, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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bNk2yYPTNmzcq9T98+DAZGRkJG61atVI5eGOYzxEOGBgmD96+fUv16tUTg4uF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84HgyQeY8eONcq5kCDXd5ctWwYAAO/fv6e0NVq3bq1z/TW/QJOY1aVLl2D16tWc/BMIqdROd+/e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\nPXsyb948o+cVQpiXBAYhioiNjQ1BQUHUrVsXgKNHjzJ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gWoJ1qU+eLm9RlwJAc7F5AxAtwbpU8g/PpS4FgOZi8wYgGqhLASBM2LwBiDTq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\nvHkzqqqqlIioGG9qcdNNN6G4uBi33XYbzGYznn/+eYwZMwb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JKkVRmjisLM4zT5JULjo6YOq0kHvvTcFJVxCfutA1nVSqglxrKrpHFUhSuXj4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\nQvjVrSk2b6pi0yb41a/gOzM/z9H7TaF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w5K8bzCRpA0RBxs2ZpMJatAiGNYVMfywB3/k50aG/g2QU91iSVP4iyHV55kxS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\nT53J/fcl6dcv7mFqT1mHs/79+5NOp2l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"text/plain": [ "Graphics object consisting of 10 graphics primitives" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "P=getrandompolytope(5,2)\n", "Q=getrandompolytope(7,2)\n", "\n", "P.show()\n", "Q.show()\n", "(P+Q).show()" ] }, { "cell_type": "code", "execution_count": 89, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "True" ] }, "execution_count": 89, "metadata": {}, "output_type": "execute_result" } ], "source": [ "D=polytopes.dodecahedron()\n", "D.polar()==polytopes.icosahedron()" ] }, { "cell_type": "code", "execution_count": 92, "metadata": { "collapsed": true }, "outputs": [], "source": [ "latex.add_to_preamble('\\\\usepackage{tikz}')" ] }, { "cell_type": "code", "execution_count": 94, "metadata": { "collapsed": false, "scrolled": true }, "outputs": [ { "data": { "text/html": [ "\n", "\n" ], "text/plain": [ "Graphics3d Object" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "D.show()" ] }, { "cell_type": "code", "execution_count": 111, "metadata": { "collapsed": false, "scrolled": true }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "\\begin{tikzpicture}%\n", "\t[x={(0.681462cm, -0.327528cm)},\n", "\ty={(0.731633cm, 0.326817cm)},\n", "\tz={(-0.017949cm, 0.886519cm)},\n", "\tscale=2.000000,\n", "\tback/.style={loosely dotted, thin},\n", "\tedge/.style={color=blue!95!black, thick},\n", "\tfacet/.style={fill=blue!95!black,fill opacity=0.800000},\n", "\tvertex/.style={inner sep=1pt,circle,draw=green!25!black,fill=green!75!black,thick,anchor=base}]\n", "%\n", "%\n", "%% Coordinate of the vertices:\n", "%%\n", "\\coordinate (0.76393, 0.76393, 0.76393) at (0.76393, 0.76393, 0.76393);\n", "\\coordinate (0.47214, 0.00000, 1.23607) at (0.47214, 0.00000, 1.23607);\n", "\\coordinate (0.76393, -0.76393, 0.76393) at (0.76393, -0.76393, 0.76393);\n", "\\coordinate (1.23607, 0.47214, 0.00000) at (1.23607, 0.47214, 0.00000);\n", "\\coordinate (1.23607, -0.47214, 0.00000) at (1.23607, -0.47214, 0.00000);\n", "\\coordinate (0.00000, 1.23607, 0.47214) at (0.00000, 1.23607, 0.47214);\n", "\\coordinate (0.00000, -1.23607, 0.47214) at (0.00000, -1.23607, 0.47214);\n", "\\coordinate (-0.47214, 0.00000, 1.23607) at (-0.47214, 0.00000, 1.23607);\n", "\\coordinate (-0.76393, 0.76393, 0.76393) at (-0.76393, 0.76393, 0.76393);\n", "\\coordinate (-0.76393, -0.76393, 0.76393) at (-0.76393, -0.76393, 0.76393);\n", "\\coordinate (0.76393, 0.76393, -0.76393) at (0.76393, 0.76393, -0.76393);\n", "\\coordinate (0.00000, 1.23607, -0.47214) at (0.00000, 1.23607, -0.47214);\n", "\\coordinate (0.76393, -0.76393, -0.76393) at (0.76393, -0.76393, -0.76393);\n", "\\coordinate (0.00000, -1.23607, -0.47214) at (0.00000, -1.23607, -0.47214);\n", "\\coordinate (0.47214, 0.00000, -1.23607) at (0.47214, 0.00000, -1.23607);\n", "\\coordinate (-1.23607, 0.47214, 0.00000) at (-1.23607, 0.47214, 0.00000);\n", "\\coordinate (-1.23607, -0.47214, 0.00000) at (-1.23607, -0.47214, 0.00000);\n", "\\coordinate (-0.76393, 0.76393, -0.76393) at (-0.76393, 0.76393, -0.76393);\n", "\\coordinate (-0.76393, -0.76393, -0.76393) at (-0.76393, -0.76393, -0.76393);\n", "\\coordinate (-0.47214, 0.00000, -1.23607) at (-0.47214, 0.00000, -1.23607);\n", "%%\n", "%%\n", "%% Drawing edges in the back\n", "%%\n", "\\draw[edge,back] (0.00000, 1.23607, 0.47214) -- (0.00000, 1.23607, -0.47214);\n", "\\draw[edge,back] (-0.76393, 0.76393, 0.76393) -- (-1.23607, 0.47214, 0.00000);\n", "\\draw[edge,back] (0.76393, 0.76393, -0.76393) -- (0.00000, 1.23607, -0.47214);\n", "\\draw[edge,back] (0.00000, 1.23607, -0.47214) -- (-0.76393, 0.76393, -0.76393);\n", "\\draw[edge,back] (0.47214, 0.00000, -1.23607) -- (-0.47214, 0.00000, -1.23607);\n", "\\draw[edge,back] (-1.23607, 0.47214, 0.00000) -- (-1.23607, -0.47214, 0.00000);\n", "\\draw[edge,back] (-1.23607, 0.47214, 0.00000) -- (-0.76393, 0.76393, -0.76393);\n", "\\draw[edge,back] (-0.76393, 0.76393, -0.76393) -- (-0.47214, 0.00000, -1.23607);\n", "\\draw[edge,back] (-0.76393, -0.76393, -0.76393) -- (-0.47214, 0.00000, -1.23607);\n", "%%\n", "%%\n", "%% Drawing vertices in the back\n", "%%\n", "\\node[vertex] at (0.00000, 1.23607, -0.47214) {};\n", "\\node[vertex] at (-1.23607, 0.47214, 0.00000) {};\n", "\\node[vertex] at (-0.76393, 0.76393, -0.76393) {};\n", "\\node[vertex] at (-0.47214, 0.00000, -1.23607) {};\n", "%%\n", "%%\n", "%% Drawing the facets\n", "%%\n", "\\fill[facet] (1.23607, -0.47214, 0.00000) -- (0.76393, -0.76393, 0.76393) -- (0.47214, 0.00000, 1.23607) -- (0.76393, 0.76393, 0.76393) -- (1.23607, 0.47214, 0.00000) -- cycle {};\n", "\\fill[facet] (-0.76393, 0.76393, 0.76393) -- (0.00000, 1.23607, 0.47214) -- (0.76393, 0.76393, 0.76393) -- (0.47214, 0.00000, 1.23607) -- (-0.47214, 0.00000, 1.23607) -- cycle {};\n", "\\fill[facet] (-0.76393, -0.76393, 0.76393) -- (0.00000, -1.23607, 0.47214) -- (0.76393, -0.76393, 0.76393) -- (0.47214, 0.00000, 1.23607) -- (-0.47214, 0.00000, 1.23607) -- cycle {};\n", "\\fill[facet] (0.00000, -1.23607, -0.47214) -- (0.00000, -1.23607, 0.47214) -- (0.76393, -0.76393, 0.76393) -- (1.23607, -0.47214, 0.00000) -- (0.76393, -0.76393, -0.76393) -- cycle {};\n", "\\fill[facet] (0.47214, 0.00000, -1.23607) -- (0.76393, 0.76393, -0.76393) -- (1.23607, 0.47214, 0.00000) -- (1.23607, -0.47214, 0.00000) -- (0.76393, -0.76393, -0.76393) -- cycle {};\n", "\\fill[facet] (-0.76393, -0.76393, -0.76393) -- (0.00000, -1.23607, -0.47214) -- (0.00000, -1.23607, 0.47214) -- (-0.76393, -0.76393, 0.76393) -- (-1.23607, -0.47214, 0.00000) -- cycle {};\n", "%%\n", "%%\n", "%% Drawing edges in the front\n", "%%\n", "\\draw[edge] (0.76393, 0.76393, 0.76393) -- (0.47214, 0.00000, 1.23607);\n", "\\draw[edge] (0.76393, 0.76393, 0.76393) -- (1.23607, 0.47214, 0.00000);\n", "\\draw[edge] (0.76393, 0.76393, 0.76393) -- (0.00000, 1.23607, 0.47214);\n", "\\draw[edge] (0.47214, 0.00000, 1.23607) -- (0.76393, -0.76393, 0.76393);\n", "\\draw[edge] (0.47214, 0.00000, 1.23607) -- (-0.47214, 0.00000, 1.23607);\n", "\\draw[edge] (0.76393, -0.76393, 0.76393) -- (1.23607, -0.47214, 0.00000);\n", "\\draw[edge] (0.76393, -0.76393, 0.76393) -- (0.00000, -1.23607, 0.47214);\n", "\\draw[edge] (1.23607, 0.47214, 0.00000) -- (1.23607, -0.47214, 0.00000);\n", "\\draw[edge] (1.23607, 0.47214, 0.00000) -- (0.76393, 0.76393, -0.76393);\n", "\\draw[edge] (1.23607, -0.47214, 0.00000) -- (0.76393, -0.76393, -0.76393);\n", "\\draw[edge] (0.00000, 1.23607, 0.47214) -- (-0.76393, 0.76393, 0.76393);\n", "\\draw[edge] (0.00000, -1.23607, 0.47214) -- (-0.76393, -0.76393, 0.76393);\n", "\\draw[edge] (0.00000, -1.23607, 0.47214) -- (0.00000, -1.23607, -0.47214);\n", "\\draw[edge] (-0.47214, 0.00000, 1.23607) -- (-0.76393, 0.76393, 0.76393);\n", "\\draw[edge] (-0.47214, 0.00000, 1.23607) -- (-0.76393, -0.76393, 0.76393);\n", "\\draw[edge] (-0.76393, -0.76393, 0.76393) -- (-1.23607, -0.47214, 0.00000);\n", "\\draw[edge] (0.76393, 0.76393, -0.76393) -- (0.47214, 0.00000, -1.23607);\n", "\\draw[edge] (0.76393, -0.76393, -0.76393) -- (0.00000, -1.23607, -0.47214);\n", "\\draw[edge] (0.76393, -0.76393, -0.76393) -- (0.47214, 0.00000, -1.23607);\n", "\\draw[edge] (0.00000, -1.23607, -0.47214) -- (-0.76393, -0.76393, -0.76393);\n", "\\draw[edge] (-1.23607, -0.47214, 0.00000) -- (-0.76393, -0.76393, -0.76393);\n", "%%\n", "%%\n", "%% Drawing the vertices in the front\n", "%%\n", "\\node[vertex] at (0.76393, 0.76393, 0.76393) {};\n", "\\node[vertex] at (0.47214, 0.00000, 1.23607) {};\n", "\\node[vertex] at (0.76393, -0.76393, 0.76393) {};\n", "\\node[vertex] at (1.23607, 0.47214, 0.00000) {};\n", "\\node[vertex] at (1.23607, -0.47214, 0.00000) {};\n", "\\node[vertex] at (0.00000, 1.23607, 0.47214) {};\n", "\\node[vertex] at (0.00000, -1.23607, 0.47214) {};\n", "\\node[vertex] at (-0.47214, 0.00000, 1.23607) {};\n", "\\node[vertex] at (-0.76393, 0.76393, 0.76393) {};\n", "\\node[vertex] at (-0.76393, -0.76393, 0.76393) {};\n", "\\node[vertex] at (0.76393, 0.76393, -0.76393) {};\n", "\\node[vertex] at (0.76393, -0.76393, -0.76393) {};\n", "\\node[vertex] at (0.00000, -1.23607, -0.47214) {};\n", "\\node[vertex] at (0.47214, 0.00000, -1.23607) {};\n", "\\node[vertex] at (-1.23607, -0.47214, 0.00000) {};\n", "\\node[vertex] at (-0.76393, -0.76393, -0.76393) {};\n", "%%\n", "%%\n", "\\end{tikzpicture}\n" ] } ], "source": [ "print D.projection().tikz([-764, -346, -545], 76.39)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "M=random_matrix(QQ,10)" ] }, { "cell_type": "code", "execution_count": 113, "metadata": { "collapsed": false }, "outputs": [], "source": [ "P=D.projection()\n", "P.tikz?" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "collapsed": true }, "outputs": [], "source": [ "D.projection().tikz" ] }, { "cell_type": "code", "execution_count": 105, "metadata": { "collapsed": false }, "outputs": [], "source": [ "view(latex(M),tightpage=True)" ] }, { "cell_type": "code", "execution_count": 106, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "'\\\\left(\\\\begin{array}{rrrrrrrrrr}\\n0 & 1 & 0 & 0 & 1 & 1 & 0 & 0 & -1 & 1 \\\\\\\\\\n0 & 1 & -1 & 2 & -1 & 0 & 0 & 0 & 0 & \\\\frac{1}{2} \\\\\\\\\\n0 & 1 & 0 & \\\\frac{1}{2} & 0 & -1 & 0 & 2 & 0 & 0 \\\\\\\\\\n0 & -1 & 1 & \\\\frac{1}{2} & -1 & 2 & 0 & 2 & -\\\\frac{1}{2} & -\\\\frac{1}{2} \\\\\\\\\\n0 & -2 & \\\\frac{1}{2} & 2 & 0 & 0 & 0 & 2 & \\\\frac{1}{2} & 1 \\\\\\\\\\n1 & 0 & 2 & -2 & 0 & -2 & 2 & \\\\frac{1}{2} & 0 & -2 \\\\\\\\\\n2 & -2 & -1 & 1 & -\\\\frac{1}{2} & -1 & -1 & 0 & -1 & 2 \\\\\\\\\\n-1 & 2 & \\\\frac{1}{2} & -2 & -2 & -\\\\frac{1}{2} & 0 & \\\\frac{1}{2} & -1 & 0 \\\\\\\\\\n0 & 0 & -2 & -\\\\frac{1}{2} & -\\\\frac{1}{2} & \\\\frac{1}{2} & 1 & 2 & 0 & 0 \\\\\\\\\\n-1 & 2 & 0 & 0 & 0 & 1 & -2 & 0 & -2 & 0\\n\\\\end{array}\\\\right)'" ] }, "execution_count": 106, "metadata": {}, "output_type": "execute_result" } ], "source": [] }, { "cell_type": "code", "execution_count": null, "metadata": { "collapsed": true }, "outputs": [], "source": [] } ], "metadata": { "kernelspec": { "display_name": "SageMath 7.5.beta3", "language": "", "name": "sagemath" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 2 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython2", "version": "2.7.10" } }, "nbformat": 4, "nbformat_minor": 0 }