217 lines
130 KiB
Plaintext
217 lines
130 KiB
Plaintext
{
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"cells": [
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{
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"cell_type": "code",
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"execution_count": 113,
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"metadata": {},
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"outputs": [],
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"source": [
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"import pandas as pd\n",
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"from pandas import DataFrame\n",
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"import numpy as np\n",
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"import skfuzzy as fuzz\n",
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"import matplotlib.pyplot as plt\n",
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"\n",
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"df: DataFrame = pd.read_csv(\".//static//csv//Starbucks Dataset.csv\")"
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]
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},
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{
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"cell_type": "markdown",
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"metadata": {},
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"source": [
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"## Формирование базы нечетких правил\n",
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"Сформируем базу нечетких правил, которые связывают входные и выходные переменные."
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]
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},
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{
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"cell_type": "code",
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"execution_count": null,
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"metadata": {},
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"outputs": [
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{
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"data": {
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"image/png": 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ksw0PD2fLli18+umnH+wzBGqHe4BPP/30g+sOHTqU27dvs3z5cjw8PBI12EFqadCgAUePHjUoAJ89e2bQpyupYorruIYPFkKkLbliIUQ2kj9/fjZv3syDBw84cuQIP/30E2fPnmXevHm4ubnh5uYW75dxT09PcuXKxbp162jUqFGiOoInxc8//0ypUqX46quvWLt2rcFzR48eNWirHdOx/Pr16xw/fpyqVavqn/vjjz+oX79+os4y//HHH4wbNy5VO43HJzw8nP/973/4+Phw5coV5syZQ82aNWONCPXnn39SqlQpunTpkir79fLywt/fn+bNm+Pp6UlAQADz5s2jdOnSvH79Wr/erl279GepLS0tWb58uf65e/fuERISwvLly2nfvj0nT55kxIgR7Ny5k3nz5iVYwBUpUoSxY8cydOhQAgMDadasGTly5CAgIICNGzfSs2dP/X6//PJLypQpk+CITzY2NkybNg0fHx969OiRqC/O78qTJw9Dhw5l9OjRNGzYkCZNmug/j48//lg/gpKRkRFz587F29sbNzc3unTpgouLC5cvX9ZfRUmq5H62//zzD6NHj+bu3bt4enoafDYxHfA3bdqkPyHg5+fHokWLaNOmDSVLlkxw23v27GHatGn89ttvaX7VLi7ffvsty5cvp379+vrhbhctWkSBAgV49uxZsq4+uLm5YWxszI8//sjLly8xNzfn008/TfXfWUKI2KSwECIbcnFxoVWrVmzbto0LFy4k6ouOmZkZrVu3Zs6cOXF22k4pR0dHpk2bRqdOndi6datBv4x+/frF+ZoVK1Zw9+5dg8mvdDpdokd3cnFxibOtflqYNWsWK1asYOTIkURERODr68uMGTPi/OI0fvz4eJuPJVXnzp0JCgpi/vz57Nq1i9KlS7N8+XLWrVtn8HObMGEC58+fB4g1JGmMDh060L59e/bt28fTp09ZsWIFbdu2/WCG7777juLFizNt2jR9O/78+fPz2Wef6QurZcuWcfjwYQ4fPvzB9/75559Tv359+vTpw7lz5wyG0k2MUaNGkSdPHmbNmsXAgQPJmTMnPXv2ZPz48QZ9cho0aMD+/fsZPXo0U6ZMITo6miJFisTqx5IUyfls/f398ff3B2D+/PnMnz8/1joDBw7Ezc1NP6zxiBEjGDp0aILbffr0KZ06daJNmzbxjsKU1vLnz8/+/fvp168f48ePJ0+ePPTp0wdra2v69euXrNGqnJ2dmTdvHhMmTKBbt25ERUWxf/9+KSyESAc6RXo8CSESaeDAgSxevJigoKBUnW8iuUaNGsWBAwcy9Ky6S5YsoUuXLpw4cSLOkXMyirp161K3bt14Zx0PDAykUKFC0klWA4k5zl1dXVmyZEmWmbdhwIABzJ8/n9evX6dakS2ESHvSx0IIkShhYWEsX76cli1bZoiiQgiRNbx588bg8dOnT/ntt9+oWbOmFBVCZDLSFEoIkaBHjx6xZ88e1q9fz9OnT5M1mk1aKVq0aKwJ0ETy1K9fP8FO2DY2Npo1l8nuypcv/8Fhk5s3bx5r/pLMwt3dnbp161KqVCkePnzI4sWLCQ4OZsSIEVpHE0IkkTSFEkIk6MCBA9SrVw9HR0dGjBhB3759tY6UqWSWplBCaGXYsGGsX7+eu3fvotPpqFSpEn5+fqk6zK8QIn1IYSGEEEIIIYRIMeljIYQQQgghhEgxKSyEEEIIIYQQKZYpOm9HR0dz//59cuTIkazJcoQQQgghhBBJpygKr169Im/evBgZJXxNIlMUFvfv3yd//vxaxxBCCCGEECJbunPnDh999FGC62SKwiJHjhyA+oZsbW01TiOEEEIIIUT2EBwcTP78+fXfxxOSKQqLmOZPtra2UlgIIYQQQgiRzhLTHUE6bwshhBBCCCFSTAoLIYQQQgghRIpJYSGEEEIIIYRIsSQXFgcPHsTb25u8efOi0+nYtGnTB19z4MABKlWqhLm5OUWLFmXJkiXJiCqEEEIIIYTIqJJcWISEhFChQgVmz56dqPUDAgLw9PSkXr16nD17lgEDBtC9e3d27dqV5LBCCCGEEEKIjCnJo0I1atSIRo0aJXr9efPmUahQIaZMmQJAqVKlOHz4MNOmTaNBgwZJ3b0QQgghhBAiA0rz4WaPHj2Kh4eHwbIGDRowYMCAtN51qtq9Gx4/1jpFxuLqCu7uIJOhCyGEECJTi4qCJ0/g4UN49Ei9Hx2tdSpV+fJQtqzWKRIlzQuLoKAgnJycDJY5OTkRHBzMmzdvsLS0jPWat2/f8vbtW/3j4ODgtI75QT/8AIcPa50i43F3h+HDoVEjKTCEEEIIkQm8fg0bN8K6dRAQoBYTT56AomidLG5jxkhhkRITJkxg9OjRWscwULkymJtrnSLjiI6Go0fVm6cnVKyoFhjNmoGRjDUmhEhl155ew9HaETsLO62jCCEyo8hI2LsXfvtNLSpCQ2Ovo9NBrlzg5AS5c4NJBvma7OqqdYJES/OfmLOzMw8fPjRY9vDhQ2xtbeO8WgEwdOhQBg0apH8cM5W4lqZP13T3GVJQEEyZAnPnwpkz0LIllC4N338PPj4Z5/+jECJzO//oPG7z3MhllYvlzZdTv0h9rSMJITKLixdh0SJYtUr94hKjWDFo3x6qVwdHR7WYyJVLvrykUJqfW3Z3d2fv3r0Gy3bv3o27u3u8rzE3N8fW1tbgJjIeZ2f46ScIDFSvVtjaqv9/27VTm0jdu6d1QiFEVrDs3DKilCgehTyiwfIGfL/3eyKjI7WOJYTIyEJD4dtvoVw5mDZNLSpy5YI+feDYMbhyBUaOBA8PtQ+Dk5MUFakgyYXF69evOXv2LGfPngXU4WTPnj3L7du3AfVqQ8eOHfXrf/HFF9y8eZNvv/2Wy5cvM2fOHNauXcvAgQNT5x0IzeXOrTb/u3ULxo4Fe3s4eRI+/lj9VwghkktRFNZeWAtAjfw1UFAYf3g8dZfU5c7LOxqnE0JkSPv2qcXCTz+pbbe9vWHzZrh/H2bNgmrVpGNoGklyYXHy5EkqVqxIxYoVARg0aBAVK1Zk5MiRADx48EBfZAAUKlSI7du3s3v3bipUqMCUKVNYtGiRDDWbBdnbq82gTp+GMmXgwQOoXRvWr9c6mRAis/r73t/cenkLGzMbdnfYzZpWa7A1t+XInSO4zXdj65WtWkcUQmQUL15A9+7wv//BjRuQLx9s3QpbtkCTJmBmpnXCLE+nKBm1C/x/goODsbOz4+XLl9IsKpMIDgZfX9ixQ308ZoxadMgJAiFEUgzcOZDpf0+nXbl2LG+xHICbz2/Sen1rTt5XL4kOqDaAiR4TMTeRETaEyLb8/dVmTjH9KHr3hokT1XbaIkWS8j1cxu8RacLWVj1BEDNdyYgRat+LsDBNYwkhMpFoJZq1F9VmUK3LtNYvL+xQmCNdjzDwE7VJ7fS/p9N6fWuioqM0ySmE0FB4OHTqpI4gExQExYvDwYMwZ44UFRqQwkKkGWNjtb/U/Plqf6hVq6BuXcNBGYQQIj6Hbx/m/qv72Jnb8VmRzwyeMzM2Y2qDqWxusxlzY3M2X9nMkD1DNEoqhNBEaKg6zv2yZeqXjmHD4Nw5qFVL62TZlhQWIs317Al//AEODvD331C1qvr/XgghErLm/BoAmpdqHm8zpyYlmrCk2RIAphydwvyT89MrnhBCSy9ewGefwe+/g6Wl2pdi3DiwsNA6WbYmhYVIF/XqqUVF8eJw5w7UqKE2lRJCiLhERkey7uI6ANqUaZPgum3KtmFMvTEA9NnRh903dqd5PiGEhh48gDp14MgRdeSY3buhUSOtUwmksBDpqFgxdehoDw8ICVGvXk6aBBl/+AAhRHo7EHiAx6GPyWWZi08LffrB9b+v9T0dyncgSomi1bpWXHh0IR1SCiHS3c2bULMm/POPOqHWn3+qZytFhiCFhUhXDg7qSFFffqkWFEOGQNeu8Pat1smEEBlJTDOolqVaYmps+sH1dTodC70XUqtALYLfBuO50pOHrx+mdUwhRHr691+1qLh5EwoXhsOH1fkqRIYhhYVId6amMHs2zJwJRkawZAnUrw+PH2udTAiREYRHhbPh0gZAbeaUWOYm5mxsvZGiOYty6+Utmq1pxpuIN2kVUwiRnk6cUJs/PXigzqZ9+DAUKaJ1KvEeKSyEZvr2Va9e2NrCoUPqRJgXpPWCENnenpt7eB72HGcbZ2oXrJ2k1+ayysX2tttxsHDg2N1jdN7cmWglOo2SCiHSxe3b4OUFz5+Du7va/MnFRetUIg5SWAhNNWgAR4+qVzQDAqB6dXWAByFE9rXmgtoMqlWpVhgbGSf59cVzFWdj642YGpmy9sJaRu4fmdoRhRDpJSQEmjaFR4+gQoX/hpkUGZIUFkJzpUurI0bVrq3O2O3lBT//LJ26hciOwiLD2HR5E5C0ZlDvq+Nah4XeCwEYd2gcS88uTY14Qoj0FB2tTn539iw4OsLmzWBjo3UqkQApLESGkDu3Olpcly7q75EBA6B3b4iI0DqZECI97by+k+C3wXxk+xHu+d1TtK1Obp34vtb3APTY2oM/A/9MjYhCiPQyejRs2ABmZrBxIxQsqHUi8QFSWIgMw8wMFi+GyZNBp1Nn7G7YEJ490zqZECK9xDSD8intg5Eu5X+ifqj3Az5lfIiIjqD5muZcfXo1xdsUQqSDNWvghx/U+/Pnq22lRYYnhYXIUHQ6+Prr/6527tsHn3wCV+W7gBBZXkh4CFuuqDNnpqQZ1LuMdEYsabqEavmq8TzsOZ4rPXka+jRVti2ESCMnT0Lnzur9b775777I8KSwEBmSt7c6oWaBAnDtmjpi1N69WqcSQqSl7de2ExoRSmGHwlTJWyXVtmtpasnmNpspaFeQ68+u03xNc95GyuQ5QmRI9++rnbXDwqBxY5g4UetEIgmksBAZVvnycPy4OrLcixfqCFLz5mmdSgiRVt5tBqXT6VJ12042Tmxvux1bc1sO3T5Ej609UGSECCEyljdvoFkztbgoXRpWrQLjpI8MJ7QjhYXI0Jyc1OZQ7dpBVJTaobt/f4iM1DqZECI1Bb8NZse1HQC0Lts6TfZRxrEM6z5fh7HOmN/++Y1xh8alyX6EEMk0dKg6EV7OnLBlizrRlchUpLAQGZ6FBfz2G4z7/+8AM2aoQ9K+fKltLiFE6tlyZQthkWGUyFWCCk4V0mw/nxX5jNmNZwMwYv8IVp9fnWb7EkIkwZ9/qmPNAyxfLrNqZ1JSWIhMQaeDYcNg/XqwtIRdu9QmUjduaJ1MCJEaYppBtS7TOtWbQb2vV5VeDPpkEACdN3Xm6J2jabo/IcQHvH4NXbuq97t3h0aNtM0jkk0KC5GptGwJhw9D3rxw6ZLaqfvgQa1TCSFS4vmb5+y6vgtIu2ZQ75tUfxJNSjThbdRbmq5uSsDzgHTZrxAiDt99BzdvQv78MGWK1mlECkhhITKdSpXUJphVqsDTp+DhAb/+qnUqIURybby8kYjoCMo5lqN0ntLpsk9jI2NWtFhBReeKPA59jOdKT16EvUiXfQsh3rFvH8xWmyfyyy/SryKTk8JCZEp586rNMT//XJ2du2tXGDxY7eAthMhc3m0GlZ5szGzY6ruVfDnycenJJT5f9zkRURHpmkGIbO3Vq/+aQH3xhXqmUGRqUliITMvKClavhpEj1ceTJ0OLFurvKSFE5vA45DF7b6qT1KRXM6h35bPNx1bfrVibWrPn5h767Ogjw9AKkV4GD4Zbt8DVFSZN0jqNSAVSWIhMzcgIRo+GlSvB3Fwdna5mTfX3lBAi4/O/5E+UEkUll0oUzVlUkwwVXSqyquUqdOhYeHohU49O1SSHENnK7t0wf756/5dfIEcObfOIVCGFhcgSfH3VplFOTvDPP1C1KhyVgV6EyPBWX1CHe21Tpo2mObxLeDO1gVpQDN49mE2XN2maR4gsLTgYunVT7/ftC/XqaZtHpBopLESWUa2aOlN3hQrw6JH6e2rFCq1TCSHi8+DVA/4M/BMAnzI+GqeB/tX607tKbxQU2vm349T9U1pHEiJr+vpruHMHCheGiRO1TiNSkRQWIkspUEAdjrZpU3j7Ftq3hxEjIDpa62RCiPetv7geBYVPPvqEgvYFtY6DTqdjRqMZNCjSgNCIULxXeXPn5R2tYwmRtRw6BIsWqRNULVkC1tZaJxKpSAoLkeXY2IC/PwwZoj4eOxZ8fCAkRNtcQghDMc2g0ns0qISYGJmw9vO1lHUsy4PXD/Be5c2rtzIihBCpIjoaBg5U7/fsCbVqaZtHpDopLESWZGSkXl1dsgRMTWHDBqhdG+7d0zqZEALgzss7/HXnL3To+Lz051rHMWBrbss23204Wjty7uE5fDf4EhkdqXUsITK/5cvh1Cl1roofftA6jUgDUliILK1TJ3Xundy54fRp+PhjOHlS61RCiLUX1gJQq2At8tnm0zhNbAXtC7KlzRYsTCzYfm07X+/6WutIQmRuISEwdKh6//vvwdFR2zwiTUhhIbK8mjXVTt1lysCDB+qVi3XrtE4lRPaWEZtBva/aR9X4rflvAMw4PoNZx2dpnEiITOynn+D+fShUCPr31zqNSCNSWIhsoVAh+OsvaNQI3rxR+1yMGQMyD5YQ6e/GsxucvH8SI50RLUu11DpOglqVbsWE/00AoP/O/uy4tkPjREJkQvfu/TcB3qRJ6sRTIktKVmExe/ZsXF1dsbCwoFq1ahw/fjzB9adPn06JEiWwtLQkf/78DBw4kLCwsGQFFiK5bG1h61YYMEB9PHIktGunFhpCiPQT0wzq00Kf4mTjpHGaDxtSYwhd3boSrUTTen1r/nn4j9aRhMhchg1T/9jWrAktM/bJBJEySS4s1qxZw6BBg/Dz8+P06dNUqFCBBg0a8OjRozjXX7lyJd999x1+fn5cunSJxYsXs2bNGoYNG5bi8EIklbExTJsG8+aBiQmsWqXOdxEUpHUyIbKPzNAM6l06nY65XnOp51qP1+Gv8VrpxYNXD7SOJUTmcPIkLFum3p86VR1mVmRZSS4spk6dSo8ePejSpQulS5dm3rx5WFlZ8csvv8S5/l9//UWNGjVo27Ytrq6ufPbZZ/j6+n7wKocQaalXL9i1Cxwc4O+/1Zm6z53TOpUQWd/lJ5f55+E/mBiZ0KJUC63jJJqZsRkbfDZQIlcJ7gTfocnqJoRGhGodS4iMTVFg0CD1fvv26ggqIktLUmERHh7OqVOn8PDw+G8DRkZ4eHhw9OjROF9TvXp1Tp06pS8kbt68yY4dO2jcuHG8+3n79i3BwcEGNyFS26efqkVF8eLqBKA1asDmzVqnEiJrW3N+DQD1C9cnp2VOjdMkjYOlA9vbbieXZS5O3j9Jh40diFZk9k0h4uXvr06IZ2kJEyZonUakgyQVFk+ePCEqKgonJ8M2sU5OTgTF05akbdu2/PDDD9SsWRNTU1OKFClC3bp1E2wKNWHCBOzs7PS3/PnzJyWmEIlWrBgcOwb/+586El7z5vDjj9KpW4i0oCgKay6ohUVmaQb1viI5i7CpzSbMjM3wv+TP0D1DtY4kRMb09i18+616f/Bg+OgjbfOIdJHmo0IdOHCA8ePHM2fOHE6fPo2/vz/bt29nzJgx8b5m6NChvHz5Un+7c+dOWscU2ZiDA/z+O/TurRYU330HXbuqvxOFEKnn30f/cunJJcyMzWhWspnWcZKtZoGa/NJEbf476a9JLDq9SONEQmRAM2fCzZvg4qIWFiJbMEnKyrlz58bY2JiHDx8aLH/48CHOzs5xvmbEiBF06NCB7t27A1CuXDlCQkLo2bMn33//PUZGsWsbc3NzzGUoMpGOTE1hzhwoXVodXnvJErh+Xb2KmyeP1umEyBpimkE1KtoIOws7jdOkTLvy7bj+7Dqj/hxF7+29KWRfiP8V/p/WsYTIGF6+hHHj1Pvjx4ONjbZ5RLpJ0hULMzMzKleuzN69e/XLoqOj2bt3L+7u7nG+JjQ0NFbxYGxsDKiXxYXISPr2hR071KFpDx+GatXgwgWtUwmR+b3bDKpN2TYap0kdI+uMpG25tkRGR9JybUsuPb6kdSQhMoZZs+DFC/VsXceOWqcR6SjJTaEGDRrEwoULWbp0KZcuXaJ3796EhITQpUsXADp27MjQof+1OfX29mbu3LmsXr2agIAAdu/ezYgRI/D29tYXGEJkJA0aqP0uCheGgABwd1ebSgkhku/Ug1PceH4DSxNLvIp7aR0nVeh0OhY3WUyN/DV4+fYlnis9eRzyWOtYQmjr9Wt1XHeA77+HOFqmiKwrSU2hAFq3bs3jx48ZOXIkQUFBuLm5sXPnTn2H7tu3bxtcoRg+fDg6nY7hw4dz79498uTJg7e3N+NiLpEJkQGVKgXHj0OLFnDwIHh5qcNv9+snQ3ALkRwxzaC8inthY5Z1mkVYmFiwsfVGPln8CTef36TZmmbs7bgXCxMLraMJoY25c+HpU3V0lNaZc5AGkXw6JRO0RwoODsbOzo6XL19ia2urdRyRjYSHq526Y6Zp6dlTvcJraqptLiEyk2glmkI/F+L2y9ts8NmQqeavSKzLTy7jvtidF2Ev8C3ry4oWK9DJWQiR3YSGQqFC8OgR/PordO6sdSKRCpLyPVyuTwmRADMzWLQIpkxRr1QsWAANG8KzZ1onEyLzOHb3GLdf3sbGzIZGRRtpHSdNlMxdkg0+GzAxMmHV+VWM/nO01pGESH+LFqlFhasrtGundRqhASkshPgAnU6dOHTLFnVgi3374JNP4MoVrZMJkTnENINqWqIplqaWGqdJO58W+pR5nvMAGP3naFb8s0LjREKko7dvYdIk9f5338ml/WxKCgshEsnLC/76CwoWhGvX1OJizx6tUwmRsUVFR7Hu4jog64wGlZBulboxpMYQALpu6cqhW4c0TiREOvn1V7h3T50IT5pAZVtSWAiRBOXKqZ263d3VkfQaNoR587ROJUTGdfj2YR68foC9hT2fFflM6zjpYvz/xtOiVAvCo8JpvqY5159d1zqSEGkrIgImTlTvf/styFxk2ZYUFkIkkaOj2hyqfXuIilI7d/frB5GRWicTIuNZfX41AM1LNsfM2EzjNOnDSGfEb81/4+O8H/P0zVM8V3ry/M1zrWMJkXZ++w1u3QInJ/j/CZFF9iSFhRDJYGEBy5b9N7HozJlqU6mXL7XNJURGEhkdyYZLGwBoXSZ7DTtpZWrFFt8tFLArwNWnV2mxVr2CIUSWExkJEyao9wcPBsus249KfJgUFkIkk04Hw4bBhg1gZQW7dqlNpG7c0DqZEBnD/oD9PA59TG6r3Hxa6FOt46Q7ZxtntvluI4dZDg4EHuCLbV+QCUZ4FyJp1qyB69chVy7o1UvrNEJjUlgIkUItWsChQ5AvH1y6BNWqqZPqCZHdxTSDalmqJabG2XOEmHJO5VjTag1GOiN+PfsrPx75UetIQqSe6Oj/Lt0PGqQOnSiyNSkshEgFlSqpnbqrVFEnHPXw+G9SPSGyo/CocPwv+wPZrxnU+xoVa8SMhjMAGLp3KOsvrtc4kRCpZMMG9YyavT307at1GpEBSGEhRCrJmxf+/BN8fNQBMrp1U5ubRkVpnUyI9Lf7xm5ehL3A2caZ2gVrax1Hc32q9qFf1X4AdNjYgeP3jmucSIgUUhT48f+vwPXvDx+YkVlkD1JYCJGKrKxg1Srw81MfT54MzZvDq1fa5hIiva2+oDaD+rz05xgbGWucJmOY2mAqnsU8CYsMo8mqJtx6cUvrSEIk39GjcOqUOrSsXK0Q/08KCyFSmZERjBqlFhjm5rB1K9SsqY7EJ0R2EBYZxubLmwFpBvUuYyNjVrVcRQWnCjwMeYjXKi9ehslQciKTmjlT/bddO8idW9ssIsOQwkKINNKmjdo0yskJ/vkHqlZVT/AIkdX9fu13XoW/Ir9tftzzu2sdJ0PJYZ6DbW234WLjwvlH52m9vjWR0TIJjshk7t2D9f/fV+irr7TNIjIUKSyESEPVqsGJE1ChAjx6BPXqwYoVWqcSIm2tubAGAJ8yPhjp5M/M+z6y/YitvluxMrVi141d9Pu9nwxDKzKXefPU+Stq1QI3N63TiAxEfuMLkcby54fDh6FZM3j7Vp2xe/hwdZQ+IbKakPAQtl7dCkgzqIRUzluZFS1WoEPH3JNzmfH3DK0jCZE4YWEwf756v18/bbOIDEcKCyHSgY2NOirfd9+pj8eNU0ePCgnRNpcQqW3b1W2ERoRS2KEwVfJW0TpOhtasZDN+qv8TAAN3DWTrla0aJxIiEdauhceP4aOP1DNmQrxDCgsh0omREUyYAEuWgKmpWmjUrq02VRUiq4hpBtW6TGt0Op3GaTK+Qe6D6FmpJwoKvht8OfPgjNaRhIifosCM/7+61qcPmJhom0dkOFJYCJHOOnWCffvUQTROn4aPP4aTJ7VOJUTKBb8NZse1HYA0g0osnU7HrMazqF+4PiERIXiv8uZesJxtEBnUu0PMdu+udRqRAUlhIYQGatZUZ+ouUwYePFCvXKyXyXhFJrf58mbeRr2lRK4SlHcqr3WcTMPU2JS1n6+ldJ7S3Ht1D+9V3rwOf611LCFii7laIUPMinhIYSGERgoVgr/+gsaN4c0b+PxzGDtWvdIsRGYU0wyqTdk20gwqiewt7Nnmu408Vnk4E3SGdv7tiIqO0jqWEP+5d09twwsyxKyIlxQWQmjI1ha2bIGBA9XHI0aoo0aFhWmbS4ikevbmGbtu7AKkGVRyFXIoxOY2mzE3NmfLlS0M3j1Y60hC/CdmiNnatWWIWREv6XUjhMaMjWHqVChVCr78ElauhBs3YNMmcHbWOp0QibPx0kYioyMp51iOUnlKaR0n03LP787SZktps6EN045No1jOYvT+uLfWsUR29+4QswlcrYiKiiIiIiKdQonUYmpqirGxcapsSwoLITKIHj2gaFFo2RL+/ludqXvrVnVyPSEyunebQYmUaV22NdefXWf4/uF89ftXFHYoTIOiDbSOJbKzNWsSHGJWURSCgoJ48eJFukcTqcPe3h5nZ+cUN2OVwkKIDKRePbWo8PaGK1egRg31CkaTJlonEyJ+j0IesTdgLyDNoFLLsFrDuPrsKsvOLcNnvQ9Huh6hrGNZrWOJ7EhRYOZM9X48Q8zGFBWOjo5YWVlJH6tMRFEUQkNDefToEQAuLi4p2p4UFkJkMMWKqSP6+fjAnj3qyaGJE2HwYJDf1SIj2nBxA9FKNJVdKlMkZxGt42QJOp2OBV4LCHwRyMFbB/Fa6cXf3f/GycZJ62giu4kZYtbCIs4hZqOiovRFRa5cuTQIKFLK0tISgEePHuHo6JiiZlHSeVuIDMjBAXbsUPtcKAoMGQJdu8Lbt1onEyI2aQaVNsxNzPH38adYzmLcenmLpqub8ibijdaxRHYzb576b9u2cQ4xG9OnwsrKKj1TiVQW8/mltI+MFBZCZFCmpjB7tnoF2shInbG7fn21masQGcX9V/c5eOsgAD5lfDROk/XkssrF9rbbyWmZk7/v/U2nTZ2IVqK1jiWyi5cv/5tkqWfPBFeV5k+ZW2p9flJYCJHB9e2rXr2wtYVDh6BaNbhwQetUQqjWXViHgoL7R+4UsCugdZwsqViuYmxsvRFTI1PWXVzHiH0jtI4ksos1a9SJlkqXVkcUEZorU6YMjx8/5uXLlxQrVoxXr15pHcmAFBZCZAINGsCxY1C4MAQEgLs7/P671qmEkGZQ6aV2wdosarIIgPGHx7Pk7BJtA4ns4ddf1X+7dMmSnfw6d+5MszhGuTpw4AA6nS5DjnLVqVMn8ubNS86cOWncuDE5cuTQOpIBKSyEyCRKlVJHjKpdG169Ai8v+PlnmalbaOfWi1scvXsUHTpalW6ldZwsr2OFjgyvNRyAnlt7ciDwgLaBRNZ28aJ6RsvYGDp00DqN+H/ffvstT58+5fHjx/z8889ax4klWYXF7NmzcXV1xcLCgmrVqnH8+PEE13/x4gV9+vTBxcUFc3Nzihcvzo4dO5IVWIjsLHdu2L1bPXkUHQ0DBkDv3iDzEQktrL2wFlDPpufNkVfjNNnD6HqjaV2mNRHREbRY04KrT69qHUlkVTFXK7y8wCn7jka2ZMkS7O3tDZbVrl0bnU7H2bNnATh48CClSpXCysoKOzs7GjRowLVr1/Tru7q6Mn36dP3j4cOH89FHHxEYGJjofbx7FcXW1pacOXPSoUMHdDodmzZtSt03nQJJLizWrFnDoEGD8PPz4/Tp01SoUIEGDRrox799X3h4OPXr1ycwMJD169dz5coVFi5cSL58+VIcXojsyMwMFi+GyZPVK9Pz50PDhvDsmdbJRHYjzaDSn5HOiCXNluD+kTvPw57judKTJ6FPtI4lspqICFi2TL3ftWuSXqooEBKizS09ruD7+/tz5swZg2X58uVj1qxZXLhwgcOHD2NkZESvXr3ifP2UKVOYP38+u3fvxtXVNdH7eN+pU6fYsmVLst5DWkpyYTF16lR69OhBly5dKF26NPPmzcPKyopffvklzvV/+eUXnj17xqZNm6hRowaurq7UqVOHCjKdsBDJptPB11/D5s1gYwP79sEnn8BVOXkp0sn1Z9c59eAUxjpjWpZqqXWcbMXCxIJNbTbhau/K9WfXabGmBW8jZSxqkYp27IBHj9QrFY0aJemloaHq3yUtbqGhSX+r27Ztw8bGxuDWKJ73HBERwZAhQxgyZIjB8iJFivC///2PQoUKUaxYMVxcXIiKior1+kWLFvHDDz+wc+dOSpUqlaR9vG/QoEEMHjw4ke8y/SSpsAgPD+fUqVN4eHj8twEjIzw8PDh69Gicr9myZQvu7u706dMHJycnypYty/jx4+P8gQshksbbG44cgQIF4No1dcSovXu1TiWygzXn1asVnxb6lDzWeTROk/04Wjuyve12bM1tOXT7ED229kCRDlcitcScLO7YUR37PAurV68eZ8+eNbgtWrQoznVnz56NnZ0d7dq1i/Xc7du3sbGxwdramuPHj7NkyRKD5zdv3kyvXr3ImzcvZcuWjTdPQvuIsWnTJm7evMnXX3+duDeZjpJUWDx58oSoqCic3mtr5+TkRFBQUJyvuXnzJuvXrycqKoodO3YwYsQIpkyZwtixY+Pdz9u3bwkODja4CSHiVr48HD+ujhT14oU6gtT8+VqnElldTDOo1mVaa5wk+yqdpzTrP1+Psc6Y3/75jbEH4/+7KkSiBQXB9u3q/S5dkvxyKyt4/VqbW3Lm6LO2tqZo0aIGt7ia6z9//pwxY8YwderUOOd8yJs3L2fPnuXPP//EwcGBiRMnGjx/5MgR1qxZg06nY9SoUXFm+dA+QL2i8e233zJu3Dj9jNkZSZqPChUdHY2joyMLFiygcuXKtG7dmu+//555MTM5xmHChAnY2dnpb/nz50/rmEJkak5OanOodu0gKgq++AL694fISK2Tiazo4uOL/PvoX0yNTGlRqoXWcbK1+kXqM8dzDgAjD4xk1b+rNE4kMr3fflP/kLi7q8MRJpFOB9bW2tzSckTcMWPGUKtWLWrXrh3n8yYmJhQtWpSaNWvyzTffsGLFCoPnv/vuO1q1asWSJUuYNm0aJ06cSPI+AObOnYuNjQ0dMuhIXSZJWTl37twYGxvz8OFDg+UPHz7E2dk5zte4uLhgamqKsbGxflmpUqUICgoiPDwcMzOzWK8ZOnQogwYN0j8ODg6W4kKID7CwUP8elC4N338PM2bAlSvq/EZ2dlqnE1lJTDOoz4p8hoOlg8ZpRM/KPbn69CpTjk6hy+YuFLQvSPX81bWOJTIjRfmvGVQSO21nZaGhoSxYsIDTp0/H+fy2bdtwcHAgf/783L17l0mTJlGxYkWDdXLmzAlA1apVGTBgAF26dOH06dP678Ef2keMSZMmsXXr1gw703mSrliYmZlRuXJl9r7TiDs6Opq9e/fi7u4e52tq1KjB9evXiY6O1i+7evUqLi4ucRYVAObm5tja2hrchBAfptPBsGGwfj1YWsKuXepJpxs3tE4msgpFUWQ0qAzoR48faVqiKW+j3tJ0dVNuPr+pdSSRGR07Bpcvq22KfHy0TpNhRERE0KVLF4oXLx7n83fv3qVTp04UK1aM5s2bky9fvlhXLN41evRooqOjDZpEfWgfMerVq0e9evWS9T7Sg05JYm+vNWvW0KlTJ+bPn0/VqlWZPn06a9eu5fLlyzg5OdGxY0fy5cvHhAkTALhz5w5lypShU6dOfPXVV1y7do2uXbvSr18/vv/++0TtMzg4GDs7O16+fClFhhCJdPo0NGkC9+5Brlzg769OridESpwLOofbfDfMjc15NPgRtubyOzmjCAkPofaS2px+cJqSuUtytNtR7C3stY4lMpMePWDRIujUCd7rfByfsLAwAgICKFSoEBYWFmmbT6SZhD7HpHwPT3Ifi9atWzN58mRGjhyJm5sbZ8+eZefOnfoO3bdv3+bBgwf69fPnz8+uXbs4ceIE5cuXp1+/fvTv35/vvvsuqbsWQiRBpUpqp+4qVeDpU/Dw+G++IyGSa/X51QA0LtZYiooMxtrMmq2+W8mXIx+Xn1ym1dpWRETJ7JkikUJCYLX6/1uaQYnkSvIVCy3IFQshki80FDp3hnXr1MfffAMTJ8I73Z6ESBRFUSgyowgBLwJY3XI1rcvKiFAZ0dmgs9T8pSYhESF0r9idBd4LMmx7bJGBLF2q/rEoWlSdFCmRx4xcscgaNLtiIYTIXKys1JNQI0eqjydPhhYt4NUrbXOJzOfk/ZMEvAjAytQKr+JeWscR8XBzdmN1q9UY6YxYdGYRk/+arHUkkRnEdNru3Dlth1cSWZoUFkJkA0ZGMHo0rFwJ5uawZQvUrAm3bmmdTGQmMZ22vYt7Y21mrXEakRCv4l5M/WwqAEP2DMH/kr/GiUSGduMGHDyoFhSdOmmdRmRiUlgIkY34+sKff6rzXvzzD1StCkePap1KZAbRSrRMipfJ9KvWjz4f90FBob1/e07eP6l1JJFRxYxgVL8+fPSRtllEpiaFhRDZTLVqaqfuChXg0SOoV++/vylCxOfonaPcDb5LDrMcNCrWSOs4IhF0Oh3TG06nYdGGvIl8g/cqb+68vKN1LJHRKIp6ORvUWVaFSAEpLITIhgoUgMOHoWlTePsW2reHESPgnelmhDAQc7WiWclmWJhIB83MwsTIhDWt1lDOsRxBr4PwWuVF8NtgrWOJjOTsWXU2VQsLaNZM6zQik5PCQohsysZGndtiyBD18dix0Lq1OoqUEO+Kio5i3UV1WDFpBpX52Jrbsq3tNpxtnPnn4T+0Wd+GyOhIrWOJjCLmaoW3N8jImyKFpLAQIhszMlKHnl2yBExN1Rm7a9dWJ9UTIsbBWwcJeh2Eg4UD9YvU1zqOSIYCdgXY0mYLliaW/H79dwbtGqR1JJERREf/N3eFr6+2WUSWIIWFEIJOnWDfPsidG06dUjt1nzqldSqRUcQ0g2pRqgVmxmYapxHJ9XG+j/mt+W8AzDw+k5l/z9Q4kdDc4cNw9y7Y2UEj6TuVlcycOZMxY8YAMHv2bL755pt02a8UFkIIQB1+9vhxKFMG7t+HWrXUKxgie4uIimD9RfVAkGZQmV/L0i2Z+L+JAAzYNYDtV7drnEhoKqYZVIsWah+LbCgoKIivvvqKwoULY25uTv78+fH29mbv3r1aR0sRHx8fli5diqmpKWPHjqVbt27psl8pLIQQeoUKwV9/QePG8OYNfP652vdCUbROJrSyL2AfT988JY9VHuoVqqd1HJEKvq3xLd0qdiNaiabNhjacCzqndSShhfBwWKf2naJtW22zaCQwMJDKlSuzb98+fvrpJ/7991927txJvXr16NOnj9bxUsTJyYmrV69y69Yt7ty5Q6lSpdJlv1JYCCEM2NqqE+gNHKg+HjFCHTUqLEzbXEIbMc2gWpVuhYmRicZpRGrQ6XTM8ZzDp4U+5XX4a7xWefHg1QOtY4n0tns3PHumTmxUL3ueNPjyyy/R6XQcP36cli1bUrx4ccqUKcOgQYM4duwYoP5/mTt3Lo0aNcLS0pLChQuz/r3L+Xfu3MHHxwd7e3ty5sxJ06ZNCQwMNFgnMDAQnU4X6/bixQv9Ojqdjk2bNhm8rm7dugwYMED/2NXVlenTp+sf7927F51OR7N3RvSKeY2RkRF58+blxo0bmJqa4ubmloKfVuJIYSGEiMXYGKZOhQULwMREvVpety4EBWmdTKSnt5Fv2Xh5IyDNoLIaM2Mz1n++nhK5SnA3+C7eq7wJCQ/ROpZITzHNoFq3Vn/ppxJFUQgJD9HkpiTh8vqzZ8/YuXMnffr0wdraOtbz9vb2+vsjRoygZcuWnDt3jnbt2tGmTRsuXboEQEREBA0aNCBHjhwcOnSII0eOYGNjQ8OGDQkPD4+13T179vDgwQM2bNiQ9B/ue6Kjo/n666+xsbFJcL3BgwdjkU5N3eT0kxAiXj16QNGi0LIl/P232ql761Z1cj2R9f1x4w9ehL3AxcaFmgVqah1HpDIHSwe2t93OJ4s/4dSDU3TY2IH1Pusx0sk5xywvJAQ2b1bvp3IzqNCIUGwmJPxFN628Hvoaa7PYRUJcrl+/jqIolCxZ8oPrfv7553Tv3h2AMWPGsHv3bmbOnMmcOXNYs2YN0dHRLFq0CJ1OB8Cvv/6Kvb09Bw4c4LPPPgPg7du3ADg7O+Ps7EzOnDmT8xYNLF26lLdv39K0aVNev34d5zr79+/nr7/+onv37uzfvz/F+/wQ+e0hhEhQvXpqUVG8ONy5AzVqqE2lRNYX0wzKp4wPxkapd0ZTZBxFchZhU+tNmBmbsfHyRr7b853WkUR62LpVLS4KF1bPGGVDSbm64e7uHutxzBWLc+fOcf36dXLkyIGNjQ02NjbkzJmTsLAwbty4oX/N06dPAbD9wFwhvr6++u3Y2Nhw6NChONcLDQ1l+PDhTJo0CROTuK8TKIrC119/jZ+fH3Z2dol+vykhVyyEEB9UrBgcOwY+PrBnjzo568SJMHgw/P8JGpHFvIl4w+Yr6hlNaQaVtdUoUINfm/5KO/92/PTXTxTLWYwelXtoHUukpZhmUL6+qf5L3MrUitdD4z57ntasTK0SvW6xYsXQ6XRcvnw5Rft8/fo1lStXZsWKFbGey5Mnj/7+zZs3MTMzI2/evAlub9q0aXh4eOgft2vXLs71fvrpJ0qUKIG3t3e8zaqWLVtGSEgIX3zxBePGjUvM20kxKSyEEIni4AA7dsCAATBnjjpj96VLMG8emJtrnU6kth3XdvA6/DUF7ArwyUefaB1HpLG25dpy7ek1Rv05it7be1PIoRAehT0+/EKR+Tx7Bjt3qvfTYFI8nU6X6OZIWsqZMycNGjRg9uzZ9OvXL1Y/ixcvXuj7WRw7doyOHTvqnzt27BgVK1YEoFKlSqxZswZHR8cEr0b8+eefVK9eHeMP9GdxdnamaNGi+seWlpax1nnw4AFz587lzz//jHc7oaGhfP/998yaNQtTU9ME95mapCmUECLRTE1h9myYOVOdtXvJEqhfHx4/1jqZSG0xzaBal2mtbzcssraRdUbSvnx7opQoWq1txcXHF7WOJNLChg0QEQHly6sTF2Vjs2fPJioqiqpVq7JhwwauXbvGpUuXmDFjhkHzp3Xr1vHLL79w9epV/Pz8OH78OH379gXUKwq5c+emadOmHDp0iICAAA4cOEC/fv24e/cuUVFRHDx4kJUrV9KiRQuCgoIICgri2bNnADx69ChZuZs3b64vbuKycuVKihQpYjBaVHqQwkIIkWR9+8Lvv6tD0x46BNWqwYULWqcSqeV1+Gu2Xd0GSDOo7ESn07HIexE1C9Tk5duXeK304lFI0r/0iAwuphlUNp274l2FCxfm9OnT1KtXj6+//pqyZctSv3599u7dy9y5c/XrjR49mtWrV1O+fHmWLVvGqlWrKF26NABWVlYcPHiQAgUK0KJFC0qVKkW3bt0ICwvD1taWO3fuUKdOHUJDQ+nXrx8uLi64uLjQsmVLAEqUKJHk3NHR0R9s2hQaGsqUKVOSvO2U0ilJ6b2ikeDgYOzs7Hj58uUHO70IIdLPpUvg5QU3b6pFxurV0KiR1qlESq0+vxrfDb4UcSjCta+uyRWLbOZJ6BOqLarGzec3cf/InX2d9mFhkj1nZc5y7t2D/PnVWU8DA6FgwRRvMiwsjICAAAoVKpRuQ5qmJ51Ox8aNG5N95j8wMJC6devGmtcihr29vcFcFlpJ6HNMyvdwuWIhhEi2UqXUEaNq14bgYLXI+Plnmak7s1t9fjUAbcq2kaIiG8ptlZvtbbdjb2HP0btH6bK5C9FKtNaxRGpYs0b9BV2jRqoUFeLDjI2NDTpxv8/JySkd06Q9KSyEECmSO7c6gWvXrhAdrXbu/uILtQmvyHxehr3k9+u/A9IMKjsrmbsk/j7+mBiZsPr8avz2+2kdSaSGVavUf9Og07aIW/78+Tlx4kS8z1+5ciUd06Q9KSyEEClmZgaLFsHkyerIhQsWQMOG6uAjInPZfGUz4VHhlMpdirKOZbWOIzRUr1A9FngtAGDsobEsO7dM40QiRS5fhpMn1Vm2P/9c6zSZhqIo6d4BOjOTwkIIkSp0Ovj6a3UyVxsb2LcPPvkErl7VOplIipjRoKQZlADoUrEL39VQJ83rvqU7B28d1DiRSLalS9V/GzYER0dts4gsSwoLIUSq8vaGI0egQAG4dk0dMWrvXq1TicR4GvqUP278AUgzKPGfcf8bR8tSLYmIjqD5muZcf3Zd60giqaKi4Lff1PudOmmbRWRpUlgIIVJd+fJw/Di4u8OLF9CggTqRnsjYNl7eSGR0JBWcKlAid9KHQBRZk5HOiGXNl1E1X1WevXmG50pPnr2Rdo6Zyr596ohQDg7q2R8h0ogUFkKINOHkpP4ta9dOPVnWuzf06weRkVonE/F5txmUEO+yMrVic5vNFLArwNWnV2m5tiXhUeFaxxKJFdMMqk0byIJDwoqMQwoLIUSasbBQr77HzOMzc6Y6JO3Ll9rmErE9CnnEvoB9APiU8dE4jciInG2c2ea7jRxmOTgQeICeW3uSCabCEsHB4O+v3pdmUCKNSWEhhEhTOh0MGwYbNoCVFezapTaRunFD62TiXesvridaiebjvB9T2KGw1nFEBlXOqRxrP1+Lkc6IpeeWMvHwRK0jiQ9Ztw7evIGSJaFqVa3TiCxOCgshRLpo0QIOHYJ8+dQZu6tVg4MywEyGEdMMSjptiw9pWLQhMxvNBGDYvmGsu7BO40QiQTHNoDp1Us/0iCwvODgYNzc3Xr9+zd27dylatGi67VsKCyFEuqlUSe3UXaUKPH0KHh7wyy9apxL3X93n0K1DgDSDEonz5cdf0r9afwA6burIsbvHNE4k4nTjhnpGR6eD9u21TpPhdO7cGZ1Op7/lypWLhg0b8s8//2gdLUVsbW2pWbMm9vb2uLq60rt373Tbd7IKi9mzZ+Pq6oqFhQXVqlXj+PHjiXrd6tWr0el0MtGIENlY3rzw55/g46POzt2tGwwerHbwFtpYd2EdCgo18tcgv11+reOITGLKZ1PwKu5FWGQYTVc3JfBFoNaRxPuW/f+khh4e8NFH2mbJoBo2bMiDBw948OABe/fuxcTEBC8vL61jpdisWbN49OgRz5494+uvv063/Sa5sFizZg2DBg3Cz8+P06dPU6FCBRo0aMCjR48SfF1gYCDffPMNtWrVSnZYIUTWYGUFq1eDn5/6ePJkaN4cXr3SNld2tfrCakCaQYmkMTYyZlXLVbg5u/Eo5BFeK714GSYjM2QY0dH/FRadO2saJSMzNzfH2dkZZ2dn3Nzc+O6777hz5w6PHz8mMDAQnU7H2bNn43ytvb09S5Ys0T++e/cuvr6+5MyZE2tra6pUqcLff/+tf37u3LkUKVIEMzMzSpQowW8xc4v8P51Ox6ZNmwB1xu+OHTtSvnx5nj9/DsCoUaNwc3PTrx8eHk7RokXR6XS8ePECgCVLlmBvbw9Azpw5sbW1pXbt2gm+j9SU5MJi6tSp9OjRgy5dulC6dGnmzZuHlZUVvyTQniEqKop27doxevRoCheWToFCCPXK/KhRsGoVmJvD1q1QowbcuqV1suzl1otbHLt7DCOdEa1Kt9I6jshkbMxs2Oq7lbw58nLh8QV81vsQERWhdSwBahOowEDIkQPSs6WIokBIiDa3FI5S9vr1a5YvX07RokXJlStXkl9bp04d7t27x5YtWzh37hzffvst0dHRAGzcuJH+/fvz9ddfc/78eXr16kWXLl3Yv39/nNvr168ff/31F3/88QcODg5xrjNr1iwePnyYYC5/f3/OnDmTpPeSEkkqLMLDwzl16hQeHh7/bcDICA8PD44ePRrv63744QccHR3p1q1b8pMKIbKkNm3UplFOTvDvv+qgJQn8OhGpbO2FtQDUKVgHlxwuGqcRmdFHth+x1XcrVqZW/HHjD776/SsZhjYjiOm07eOjXiZOL6GhYGOjzS00NMlxt23bho2NDTY2NuTIkYMtW7awZs0ajIySdu595cqVPH78mE2bNlGzZk2KFi2Kj48P7u7uAEyePJnOnTvz5ZdfUrx4cQYNGkSLFi2YPHlyrG0NHz6cjRs3smfPHpydnePc37Nnzxg7dixDhgyJN1NERARDhgxJcJ3UlqSf2pMnT4iKisLJyclguZOTE0FBQXG+5vDhwyxevJiFCxcmej9v374lODjY4CaEyLqqVYMTJ6BCBXj0COrVgxUrtE6VPUgzKJEaKrlUYmWLlejQMf/UfKYdm6Z1pOwtJEQdZhakGdQH1KtXj7Nnz3L27FmOHz9OgwYNaNSoEbfeuXxevXp1cuTIQf78+WndujV3796NtZ2zZ89SsWJFcubMGed+Ll26RI0aNQyW1ahRg0uXLhksmzVrFuPGjaNEiRK4urrGm/uHH36gXr161KxZM951Zs+ejZ2dHe3atYt3ndSWpqNCvXr1ig4dOrBw4UJy586d6NdNmDABOzs7/S1/fulMKERWlz8/HD6sXrF/+1YdwGT4cLWZsEgb159d5/SD0xjrjGlZuqXWcUQm17RkUyZ/pp59/eaPb9h8ebPGibIxf394/RqKFFHbmKYnKyt131rcknFlxtramqJFi1K0aFE+/vhjFi1aREhIiMEJ8TVr1nDmzBlWrVrFtWvX+OKLL2Jtx9LSMkU/thjHjx9nx44dnD9/nvnz58e5zrVr11i0aBE//vhjvNt5/vw5Y8aMYerUqejScZjhJBUWuXPnxtjYOFZ7rocPH8Z5qebGjRsEBgbi7e2NiYkJJiYmLFu2jC1btmBiYsKNeGbIGjp0KC9fvtTf7ty5k5SYQohMysZGnUjvu+/Ux+PGQevWybq6LRJhzXl17gqPwh7ktkr8yR8h4jPwk4F8UfkLFBTa+rfl9IPTWkfKnmKaQXXsmP5zV+h0YG2tzS0V3qtOp8PIyIg3b97ol+XPn5+iRYtSs2ZNunXrFmcn6PLly3P27FmePXsW53ZLlSrFkSNHDJYdOXKE0qVLGyybPn06jRo1Ys6cOQwePJjbt2/H2taQIUPo3r17gvNTjBkzhlq1alG7du2E3m6qM0nKymZmZlSuXJm9e/fqh4yNjo5m79699O3bN9b6JUuW5N9//zVYNnz4cF69esXPP/8c75UIc3NzzM3NkxJNCJFFGBnBhAnqJLE9esD69RAQAJs3q5PridQjzaBEatPpdMxoNIObL27yx40/8F7lzd/d/+YjWxnqNN3cuQP79qn3O3bUNksm8PbtW31z/ufPnzNr1ixev36Nt7e3fp3w8HDCwsJ4+PAh69evp2zZsrG24+vry/jx42nWrBkTJkzAxcWFM2fOkDdvXtzd3Rk8eDA+Pj5UrFgRDw8Ptm7dir+/P3v27DHYTkxTqpYtW7Ju3Tq6d+/OH3/8oX/++vXr3L59m+vXr8f7nkJDQ1mwYAGnT6d/YZ/kplCDBg1i4cKFLF26lEuXLtG7d29CQkLo0qULAB07dmTo0KEAWFhYULZsWYObvb09OXLkoGzZspiZmaXuuxFCZBmdOql/G3PnhlOn1E7dp05pnSrruPj4IucfncfUyJRmJZtpHUdkIabGpqxttZYyecpw/9V9vFd58zr8tdaxso/fflNHR6pbFxJooy9UO3fuxMXFBRcXF6pVq8aJEydYt24ddevW1a9TrVo1LC0tcXNzw8bGJs4mSmZmZvzxxx84OjrSuHFjypUrx8SJEzE2NgagWbNm/Pzzz0yePJkyZcowf/58fv31V4P9vG/WrFmcO3eOBQsW6JeFhITw/fffx9uXA9RO2126dKF48eJJ/4GkkE5JxtANs2bN4qeffiIoKAg3NzdmzJhBtWrVAKhbty6urq4G4/q+q3Pnzrx48UI/Tm9iBAcHY2dnx8uXL7G1tU1qXCFEJhYQAN7ecOECWFqqw7K3klFRU8xvvx8/HPwB7+LebPHdonUckQUFvgik2qJqPAp5hHdxbza23oixkbHWsbK26GgoUQKuX4dff02XjtthYWEEBARQqFAhLCws0nx/Im0k9Dkm5Xt4sgqL9CaFhRDZW3Aw+PrCjh3q4zFj4Pvv07/pcFahKAolZ5fk6tOrLG++nHbl02/EEJG9HLt7jHpL6xEWGcaAagOY1lBGi0pTf/wBDRqArS3cu6d2XEtjUlhkDalVWKTpqFBCCJEabG1hyxYYMEB9PGKEOmpUWJimsTKtcw/PcfXpVSxMLGhSoonWcUQW9slHn7C0mdqRePrf05lzYo7GibK4Of//8+3cOV2KCiHeJ4WFECJTMDaGadNg/nwwMYGVK9UmxPFMoSMSEDMaVONijclhnkPjNCKr8ynjw7hPxwHQ7/d+7Ly+U+NEWdTt27B1q3q/d29ts4hsSwoLIUSm0rOnerXfwQH+/lvt1H3unNapMg9FUfSjQbUp00bjNCK7GFpzKJ0qdCJKicJnnQ/nH53XOlLWM3++2sfi00/VYfWE0IAUFkKITKdePbWoKF5cHVmxRg21qZT4sBP3TxD4IhBrU2s8i3tqHUdkEzqdjgXeC6hTsA6vwl/hudKToNdyuTHVvH0Lixap97/8UtssIluTwkIIkSkVKwbHjoGHB4SEqDN2T5qkjrIo4hfTDMq7hDdWpkmfpVaI5DIzNsO/tT/Fchbj9svbNF3dlNAImf0yVWzYAI8eQd680LSpJhEywVhAIgGp9flJYSGEyLQcHNSRonr3VguKIUOga1f15J2ILVqJZs0FtbCQZlBCCzktc7K97XZyWubk+L3jdNrUiWglWutYmV9Mp+1evdROaOnI1NQUUCdlE5lXzOcX83kmlww3K4TIEmbNgv791SbGtWqBv786uZ74z+Hbh6n1ay1szW159M0jzE3MtY4ksqmDtw7iscyDiOgIhtYcyvj/jdc6UuZ17hy4uakFxe3b4OKS7hEePHjAixcvcHR0xMrKCp2MBZ5pKIpCaGgojx49wt7eHpc4jp+kfA9P37JWCCHSSN++ap+Lzz+HQ4fUTt3btkHp0lonyzhimkE1K9lMigqhqdoFa7OoySI6berEhMMTKJazGF0qdtE6VuYUc7WiRQtNigoAZ2dnAB49eqTJ/kXK2dvb6z/HlJArFkKILOXSJfDygps31fkvVq+GRo20TqW9qOgo8k3Nx8OQh2xvu53GxRprHUkIRu4fyZiDYzAxMuGP9n9Qr1A9rSNlLi9fqv0qQkPhwAGoU0fTOFFRUURERGiaQSSdqakpxsbG8T4vVyyEENlWqVJw/Di0bAl//qkWGVOnQr9+2Xum7j9v/cnDkIfktMyJR2EPreMIAcDouqO59uwaq8+vpsXaFhzrdowSuUtoHSvzWLZMLSrKlIHatbVOg7GxcYJfUEXWJ523hRBZTq5c6lwX3bqpfS4GDFA7eGfnE2kxzaBalGyBmbGZxmmEUOl0On5t+ivuH7nzIuwFnis9eRL6ROtYmYOi/NcM6ssvs/eZE5FhSGEhhMiSzMxg4UKYMkX9ezt/PjRsCM+fa50s/UVERbD+0noAWpdtrXEaIQxZmFiwqc0mCtkX4sbzGzRf05y3kTK02wft3w+XL4ONDbRvr3UaIQApLIQQWZhOB4MGqZPn2djAvn1QrRpcvap1svS1N2Avz948w9HakbqudbWOI0QsjtaObG+7HTtzOw7fPky3Ld1kXoQPibla0aGD2qFMiAxACgshRJbn5QVHjkCBAnDtmlpc7N2rdar0EzN3RatSrTAxkq51ImMqlacU633WY6wzZsW/KxhzcIzWkTKuu3dh0yb1vsy0LTIQKSyEENlC+fJw4gRUrw4vXkCDBjBvntap0t7byLdsvLQRkGZQIuPzKOzBXM+5APgd8GPlvys1TpRBLVgAUVFqh+2yZbVOI4SeFBZCiGzD0VG9UtG+vfo3uXdvdVK9yEitk6WdXTd28fLtS/LmyEvNAjW1jiPEB/Wo3INv3L8BoMvmLhy5fUTjRBnM69cwe7Z6v29fbbMI8R4pLIQQ2YqFhTpC47hx6uMZM9SmUi9fapsrrcQ0g/Ip7YORTn7li8xhosdEmpVsRnhUOM3WNOPm85taR8o4Fi6EZ8+gaFF1UjwhMhD5KyOEyHZ0Ohg2DNavB0tL2LUL3N3hxg2tk6Wu0IhQtlzZAkgzKJG5GBsZs7z5ciq7VOZJ6BM8V3ry/E02HNLtfeHh6lB3AN9+CzJnhMhgpLAQQmRbLVvC4cOQL586Y3e1anDwoNapUs+Oazt4Hf6agnYFqZavmtZxhEgSazNrtvhu4SPbj7j85DKt1rUiIiobT0YDsHw53LsHLi7QsaPWaYSIRQoLIUS2VqmSOlN3lSrw9Cl4eMAvv2idKnXENINqXaY1Opk8S2RCeXPkZZvvNmzMbNgXsI/e23tn32Foo6Jg0iT1/qBBYG6ubR4h4iCFhRAi28ubF/78Ez7/XJ2du1s3GDxY/TueWb0Of832q9sBaQYlMrcKzhVY3XI1RjojFp9ZzOS/JmsdSRubNsGVK2BvD716aZ1GiDhJYSGEEICVFaxeDSNHqo8nT4bmzeHVK21zJdfWK1t5E/mGYjmLUdG5otZxhEgRz+KeTGswDYAhe4bgf8lf40TpTFFg4kT1ft++kCOHtnmEiIcUFkII8f+MjGD0aFi5Um1lsHUr1KwJt25pnSzpVl9YDUgzKJF19KvWj74f90VBob1/e07cO6F1pPSzdy+cPKmONtGvn9ZphIiXFBZCCPEeX1+1aZSTE/zzD1StCkePap0q8V6EvWDn9Z2ANIMSWcu0htNoVLQRbyLf0GR1E26/vK11pPQRc7Wie3fIk0fbLEIkQAoLIYSIQ7VqaqfuChXg0SOoVw9WrNA6VeJsvryZ8KhwyuQpQ1lHmZVXZB0mRiasbrWaco7lCHodhNdKL4LfBmsdK22dOKFesTAxga+/1jqNEAmSwkIIIeJRoIA6HG3TpvD2rTpj9/DhEB2tdbKEvTsalBBZja25LdvabsPZxpl/H/1Lm/VtiIyO1DpW2om5WtG2LRQsqG0WIT5ACgshhEiAjQ34+8OQIerjcePAxwdCQrTNFZ+noU/ZfXM3IM2gRNZVwK4AW323Ymliye/Xf2fAzgFZcxjay5dh40b1fswvISEyMCkshBDiA4yM1JOGS5aAqSls2AC1a6vzVGU0/pf8iYyOpKJzRYrnKq51HCHSTJW8VVjRYgU6dMw+MZsZf8/QOlLqmzRJHRGqaVMoXVrrNEJ8kBQWQgiRSJ06wb59kDs3nD4NH3+sDtSSkUgzKJGdNC/VnB89fgRg0B+D2HZ1m8aJUtGdO+pM2wDffadtFiESSQoLIYRIgpo11U7dZcrAgwfqlYt167ROpXr4+iH7A/cD4FPGR+M0QqSPb6p/Q/eK3YlWommzvg3ngs5pHSl1jB2rzthZty588onWaYRIFCkshBAiiQoVgr/+gkaN4M0btc/FmDFqiwUtrb+4nmglmmr5qlHIoZC2YYRIJzqdjjmec/hfof8REhGC1yov7r+6r3WslLl8GRYvVu+PHattFiGSIFmFxezZs3F1dcXCwoJq1apx/PjxeNdduHAhtWrVwsHBAQcHBzw8PBJcXwghMgNbW3UCvQED1McjR0K7dmqhoRVpBiWyK1NjU9b7rKdk7pLcDb6L9ypvQsIz6AgLiTF0KERFqX0ratTQOo0QiZbkwmLNmjUMGjQIPz8/Tp8+TYUKFWjQoAGPHj2Kc/0DBw7g6+vL/v37OXr0KPnz5+ezzz7jXkbs9SiEEElgbAzTpsH8+eoQ86tWqfNdBAWlf5a7wXc5fPswAJ+X+Tz9AwihMXsLe7a33U5uq9ycfnCadv7tiIqO0jpW0h05Aps2qaNGjB+vdRohkiTJhcXUqVPp0aMHXbp0oXTp0sybNw8rKyt++eWXONdfsWIFX375JW5ubpQsWZJFixYRHR3N3r17UxxeCCEygp49YdcucHCAv/9WZ+o+l87NvNddWIeCQs0CNfnI9qP03bkQGURhh8JsbrMZc2NzNl/ZzHd7MlmnZ0WBb79V73ftKiNBiUwnSYVFeHg4p06dwsPD478NGBnh4eHB0aNHE7WN0NBQIiIiyJkzZ7zrvH37luDgYIObEEJkZJ9+qhYVxYurg7nUqAFbtqTf/mOaQbUp0yb9dipEBlQ9f3V+bforAJOPTmbBqQUaJ0qCLVvUDlyWljB6tNZphEiyJBUWT548ISoqCicnJ4PlTk5OBCXy2v+QIUPImzevQXHyvgkTJmBnZ6e/5c+fPykxhRBCE8WKwbFj8L//qRPoNWv23zD0aSngeQB/3/sbI50RrUq3StudCZEJ+JbzZXRd9Yv5l9u/ZPeN3RonSoTIyP+GlR04EPLm1TaPEMmQrqNCTZw4kdWrV7Nx40YsLCziXW/o0KG8fPlSf7tz5046phRCiORzcIDff4fevdWCYsgQtUXD27dpt8+1F9YCUNe1Lk42Th9YW4jsYUTtEbQv354oJYrP133OxccXtY6UsF9/VUeDypXrv+ZQQmQySSoscufOjbGxMQ8fPjRY/vDhQ5ydnRN87eTJk5k4cSJ//PEH5cuXT3Bdc3NzbG1tDW5CCJFZmJrC7Nkwc6ba/3LJEqhfHx4/Tpv9yWhQQsSm0+lY5L2ImgVq8vLtSzxXevIoJO6BZjQXEgJ+fur9ESPAzk7bPEIkU5IKCzMzMypXrmzQ8TqmI7a7u3u8r5s0aRJjxoxh586dVKlSJflphRAik9DpoG9f2LFDHZr20CGoVg0uXEjd/Vx9epUzQWcwMTKhRakWqbtxITI5cxNzNrbeSBGHIgS+CKTp6qa8idBwTOj4TJ+uzrhZqBB88YXWaYRItiQ3hRo0aBALFy5k6dKlXLp0id69exMSEkKXLl0A6NixI0OHDtWv/+OPPzJixAh++eUXXF1dCQoKIigoiNevX6feuxBCiAyqQQO130XhwhAQANWrq02lUsua8+rVCo/CHuS2yp16GxYii8htlZvtbbdjb2HPsbvH6LK5C9FKtNax/vPkCfz4o3p/3DgwN9c2jxApkOTConXr1kyePJmRI0fi5ubG2bNn2blzp75D9+3bt3nw4IF+/blz5xIeHk6rVq1wcXHR3yZPnpx670IIITKwUqXUEaNq14bgYPDygp9/Tp1O3dIMSogPK5G7BP4+/pgYmbDmwhr89vtpHek/Y8fCq1dQqRK0lv/HInPTKUpaj1eScsHBwdjZ2fHy5UvpbyGEyLTCw9VO3THT/vTqpfbDMDVN3vbOPzpPubnlMDM24+E3D7G3sE+1rEJkRb+e+ZWuW7oCsLTZUjpW6KhtoKtXoWxZiIiA3bshgREzhdBKUr6Hp+uoUEIIkZ2ZmcGiRTB5stoHY/58aNgQnj1L3vZimkE1LNpQigohEqFLxS4Mrak21+6+pTsHbx3ULkx0tDq7ZkQENG4sRYXIEqSwEEKIdKTTwddfq/Ng2djAvn3wySfqicukUBRFmkEJkQxjPx1Lq9KtiIiOoPma5lx7ek2bIIsXw59/gpWVOoycEFmAFBZCCKEBLy84cgQKFIBr19QRo94ZcO+Dzgad5dqza1iYWOBd3DvtggqRxRjpjFjWbBlV81Xl2ZtneK705Gno0/QNcf8+DB6s3h83Dlxd03f/QqQRKSyEEEIj5cvD8ePg7g4vXqgjSM2fn7jXrj6/GgDPYp7kMM+RdiGFyIIsTS3Z0mYLBe0Kcu3ZNVqsbUF4VHj6BfjqK3j5Ej7+WL0vRBYhhYUQQmjIyUltDtW+PURFqUPY9+8PkZHxv0ZRFNZeVGfbblO2TTolFSJrcbJxYlvbbdia23Lw1kF6bu1Juoxn4++v3kxM1E5XxsZpv08h0okUFkIIoTELC1i2TG0RATBjhtpU6uXLuNc/fu84gS8CsTa1pnGxxukXVIgspqxjWda2Wouxzpil55Yy/tD4tN3hixfqzJkAQ4aoly2FyEKksBBCiAxAp4Nhw2DDBrUv565dahOpGzdirxvTabtJiSZYmVqlc1IhspYGRRsws9FMAIbvH64fbS1NDBmizrBdvDgMH552+xFCI1JYCCFEBtKiBRw6BPnywaVLaqfug++MiBmtRLP2gtoMSkaDEiJ19P64NwM/GQhAp02dOHrnaOrv5M8/YcEC9f6CBeqlSiGyGCkshBAig6lUSe3UXaUKPH2qDm//66/qc0duH+Heq3vYmdvRsGhDbYMKkYX8VP8nmpRowtuotzRd3ZSA5wGpt/GwMHXOClD/rVMn9bYtRAYihYUQQmRAefOqJzh9fNT5s7p2VUenXP3/zTSalWyGuYm5ximFyDqMjYxZ0WIFFZ0r8jj0MZ4rPXkR9iJ1Nj5mjDpZjYsL/Phj6mxTiAxICgshhMigrKxg1SoYOVJ9PHlqJIuOrgOkGZQQacHGzIatvlvJlyMfl55cwmedDxFRESnb6L59MHGien/WLLC3T3FOITIqKSyEECIDMzKC0aPVAsO06J+Emz7C+G1Oipl4aB1NiCwpn20+tvpuxdrUmt03d/PV718lfxjau3ehTRuIjoZOndROVEJkYVJYCCFEJtCmDTT+Vm0GFXW+JTU+MeVoGvQvFUJARZeKrGq5Ch065p+az7Rj05K+kbdvoVUrePwY3Nxg7txUzylERiOFhRBCZAIRUREceroBgMJvWvPoEdStCytWaJtLiKzKu4Q3UxtMBeCbP75h0+VNSdvAoEHw999q06cNG8DSMtUzCpHRSGEhhBCZwJ6be3j25hlO1k6c3lCXZs0gPFydsXv4cLWlhRAidfWv1p/eVXqjoNDOvx2n7p9K3AuXLYM5c9T7K1ZA4cJpF1KIDEQKCyGEyARiJsVrVboVdrbGbNgA332nPjdunDp6VEiIhgGFyIJ0Oh0zGs2gQZEGhEaE4r3Km7vBdxN+0blz0KuXet/PDxo3TvugQmQQUlgIIUQGFxYZxsbLG4H/RoMyMoIJE2DpUjAzU1ta1K4N9+5pmVSIrMfEyIS1n6+lrGNZHrx+gNdKL169fRX3ys+fqx20w8KgYcP/hnQTIpuQwkIIITK4Xdd3Efw2mHw58lGjQA2D5zp2hL17IXduOH0aPv4YTp7UKKgQWZStuS3bfLfhaO3IuYfn8N3gS1R0lOFK0dHqf8ibN8HVVW0CZSRfs0T2Ike8EEJkcDHNoHzK+GCki/1ru2ZNdabuMmXgwQP1ysW6demdUoisraB9Qba02YKFiQXbr23n6z++NlzBzw+2bQNzc/USYs6c2gQVQkNSWAghRAYWGhHKlitbgIQnxStUCP76S23O/eaN2udizBhI7vD7QojYqn1UjWXNlgHw898/M/v4bPWJsWPVG6idtitV0iihENqSwkIIITKw7Ve3ExIRgqu9K1XzVU1wXVtb2LIFBg5UH48cCe3aqYWGECJ1fF7mc8Z/Oh6Afjv7cXVgJxgxQn1y4kTo2lXDdEJoSwoLIYTIwGKaQbUu0xqdTvfB9Y2NYepUWLAATEzUGbvr1YOgoLROKkT28V3N7+ji1oWhB6IpPl29gsHEiTBkiLbBhNCYFBZCCJFBvXr7iu3XtgMJN4OKS48e8Mcf4OCgztFVtao6CqYQIuV0Oh0LzhVk7H718QQve4L6dNI2lBAZgBQWQgiRQW25soWwyDCK5yqOm7Nbkl9fr55aVBQvDnfuQI0aalMpIUQKjR2Lid8oACY3yc2wKi9osqoJoRGh2uYSQmNSWAghRAaV1GZQcSlWDI4dAw8PdQK9Zs1g0iTp1C1Eso0da9CnotmvR8llmYsT90/QcWNHopVobfMJoSEpLIQQIgN6/uY5O6/vBJLeDOp9Dg6wYwd8+aVaUAwZovYvffs2NZIKkU28eQN9+hh21B4yhKI5i7Kx9UbMjM3YcGkD3+/9XtucQmhICgshhMiANl3eRER0BGUdy1LGsUyKt2dqCrNnw8yZ6pxdS5ZA/frw+HHKswqR5f3zjzr75Jw56uNJkww6atcqWIvFTRYDMPHIRH4584sWKYXQnBQWQgiRAb3bDCo19e2rXr2wtYVDh6BaNbhwIVV3IUTWoShqNV61qvofxckJdu2CwYNjrdq+fHtG1h4JQK9tvdgXsC+90wqhOSkshBAig5l+bDq7buwCUr+wAGjQQO13UbgwBASAuzv8/nuq70aIzO3RI/Dygn791HaDnp7qlYvPPov3JaPqjsK3rC+R0ZG0XNuSy08up2NgIbQnhYUQQmQQiqIwYt8IBu5SZ7j7tvq3FMtVLE32VaqUOmJU7drw6pX6nWn0aIiKSpPdCZG57NoF5curl/fMzdWrFlu3gqNjgi/T6XT80vQXquevzouwF3iu9ORJ6JN0Ci2E9pJVWMyePRtXV1csLCyoVq0ax48fT3D9devWUbJkSSwsLChXrhw7duxIVlghhMiqopVo+u7oy9hDYwEYW28sEz0mpuk+c+eG3bvVOS8UBUaNUk/GymR6IluKioKNG6FOHWjYEB4+hDJl4MQJtQ1hIkdmszCxYFPrTRSyL8TN5zdptroZYZFhaRxeiIwhyYXFmjVrGDRoEH5+fpw+fZoKFSrQoEEDHj16FOf6f/31F76+vnTr1o0zZ87QrFkzmjVrxvnz51McXgghsoLwqHDa+bdjzsk56NAxp/Ecvq/9fbKHmE0KMzN1lu7ffgNra9i3D9zc1H+FyBZevlSnqy9aFFq0gIMH1Wnrv/pKLSrKlUvyJvNY52F72+3Ymdtx5M4Rum3phiJjPItsQKck8UivVq0aH3/8MbNmzQIgOjqa/Pnz89VXX/Hdd9/FWr9169aEhISwbds2/bJPPvkENzc35s2bl6h9BgcHY2dnx8uXL7G1tU1KXCGEyNBCI0JptbYVv1//HRMjE35r/httyrbRJMvly/D553D+vHpy1s8Phg8HY2NN4giRdt68gUuX1OHRfv0VXr9Wl+fMCV98oY7NnC9finez9+ZeGq5oSGR0JP2q9qOzW2dK5ymNuYl5irctRHpJyvfwJBUW4eHhWFlZsX79epo1a6Zf3qlTJ168eMHmzZtjvaZAgQIMGjSIAQMG6Jf5+fmxadMmzp07l6j9ZoTC4tbJvbx99VyTfQshsqao6CgmHp7ImaCzWJiYM/WzqdQsWFPTTG/ewI8/gv9G9XG1qtC/v3plQ4jMyDj4OeYBlzEPvIJ54GXMAy5jdj8Q3Ttff8IKl+ZJ+wE8b9wOxdIqVfe/IWAhP5ztqX9sojOhUI5SFLerQAk7N0rYVSCnecJ9N0T2VvIjJ8oWctJs/0n5Hm6SlA0/efKEqKgonJwM35yTkxOXL8c98kFQUFCc6wcl0Ij37du3vH1n5qbg4OCkxEwTL9q2oMI17XMIIbKWpfp7b2FWHw2TqCyBUf9/A+A40E6jMEKkoefYc5iazKAfe256wA86+CEt9tQDKhpB+eXgfI5Iy+dcC/6Xa8H/sv3O8rTYochi/qcbw56Rw7WOkShJKizSy4QJExg9erTWMQyE2VrxyOa11jGEEFmMsZERtuZ2mBplvF/HkVEQ/FL9V4iMTiHuPkmhOmtuGJfguklJrsf8a1KSJ7o8+g7ZaX4u+H43uN8NBYVomztE5jpHRK5zROY+S2Suf1DM5MSliJ+Ng7XWERItSX/JcufOjbGxMQ8fPjRY/vDhQ5ydneN8jbOzc5LWBxg6dCiDBg3SPw4ODiZ//vxJiZrqqp18oOn+hRAivZkAObUOIUQqKAR4aB0CAB1Q4P9v3hpnESL1JWlUKDMzMypXrszevXv1y6Kjo9m7dy/u7u5xvsbd3d1gfYDdu3fHuz6Aubk5tra2BjchhBBCCCFExpXka++DBg2iU6dOVKlShapVqzJ9+nRCQkLo0qULAB07diRfvnxMmDABgP79+1OnTh2mTJmCp6cnq1ev5uTJkyxYsCB134kQQgghhBBCM0kuLFq3bs3jx48ZOXIkQUFBuLm5sXPnTn0H7du3b2Nk9N+FkOrVq7Ny5UqGDx/OsGHDKFasGJs2baJs2bKp9y6EEEIIIYQQmkryPBZayAjDzQohhBBCCJHdJOV7eJJn3hZCCCGEEEKI90lhIYQQQgghhEgxKSyEEEIIIYQQKZbxZmSKQ0w3kIwwA7cQQgghhBDZRcz378R0y84UhcWrV68ANJ8kTwghhBBCiOzo1atX2NnZJbhOphgVKjo6mvv375MjRw50Op0mGWJm/75z546MTCUSTY4bkVRyzIikkmNGJJUcMyIpFEXh1atX5M2b12BKibhkiisWRkZGfPTRR1rHAJCZwEWyyHEjkkqOGZFUcsyIpJJjRiTWh65UxJDO20IIIYQQQogUk8JCCCGEEEIIkWJSWCSSubk5fn5+mJubax1FZCJy3IikkmNGJJUcMyKp5JgRaSVTdN4WQgghhBBCZGxyxUIIIYQQQgiRYlJYCCGEEEIIIVJMCgshhBBCCCFEiklhIYQQQgghhEgxKSzeMXv2bFxdXbGwsKBatWocP348wfXXrVtHyZIlsbCwoFy5cuzYsSOdkoqMJCnHzcKFC6lVqxYODg44ODjg4eHxweNMZD1J/V0TY/Xq1eh0Opo1a5a2AUWGk9Rj5sWLF/Tp0wcXFxfMzc0pXry4/I3KZpJ6zEyfPp0SJUpgaWlJ/vz5GThwIGFhYemUVmQZilAURVFWr16tmJmZKb/88oty4cIFpUePHoq9vb3y8OHDONc/cuSIYmxsrEyaNEm5ePGiMnz4cMXU1FT5999/0zm50FJSj5u2bdsqs2fPVs6cOaNcunRJ6dy5s2JnZ6fcvXs3nZMLrST1mIkREBCg5MuXT6lVq5bStGnT9AkrMoSkHjNv375VqlSpojRu3Fg5fPiwEhAQoBw4cEA5e/ZsOicXWknqMbNixQrF3NxcWbFihRIQEKDs2rVLcXFxUQYOHJjOyUVmJ4XF/6tatarSp08f/eOoqCglb968yoQJE+Jc38fHR/H09DRYVq1aNaVXr15pmlNkLEk9bt4XGRmp5MiRQ1m6dGlaRRQZTHKOmcjISKV69erKokWLlE6dOklhkc0k9ZiZO3euUrhwYSU8PDy9IooMJqnHTJ8+fZRPP/3UYNmgQYOUGjVqpGlOkfVIUyggPDycU6dO4eHhoV9mZGSEh4cHR48ejfM1R48eNVgfoEGDBvGuL7Ke5Bw37wsNDSUiIoKcOXOmVUyRgST3mPnhhx9wdHSkW7du6RFTZCDJOWa2bNmCu7s7ffr0wcnJibJlyzJ+/HiioqLSK7bQUHKOmerVq3Pq1Cl9c6mbN2+yY8cOGjdunC6ZRdZhonWAjODJkydERUXh5ORksNzJyYnLly/H+ZqgoKA41w8KCkqznCJjSc5x874hQ4aQN2/eWEWqyJqSc8wcPnyYxYsXc/bs2XRIKDKa5BwzN2/eZN++fbRr144dO3Zw/fp1vvzySyIiIvDz80uP2EJDyTlm2rZty5MnT6hZsyaKohAZGckXX3zBsGHD0iOyyELkioUQGpk4cSKrV69m48aNWFhYaB1HZECvXr2iQ4cOLFy4kNy5c2sdR2QS0dHRODo6smDBAipXrkzr1q35/vvvmTdvntbRRAZ14MABxo8fz5w5czh9+jT+/v5s376dMWPGaB1NZDJyxQLInTs3xsbGPHz40GD5w4cPcXZ2jvM1zs7OSVpfZD3JOW5iTJ48mYkTJ7Jnzx7Kly+fljFFBpLUY+bGjRsEBgbi7e2tXxYdHQ2AiYkJV65coUiRImkbWmgqOb9nXFxcMDU1xdjYWL+sVKlSBAUFER4ejpmZWZpmFtpKzjEzYsQIOnToQPfu3QEoV64cISEh9OzZk++//x4jIzkPLRJHjhTAzMyMypUrs3fvXv2y6Oho9u7di7u7e5yvcXd3N1gfYPfu3fGuL7Ke5Bw3AJMmTWLMmDHs3LmTKlWqpEdUkUEk9ZgpWbIk//77L2fPntXfmjRpQr169Th79iz58+dPz/hCA8n5PVOjRg2uX7+uL0IBrl69iouLixQV2UByjpnQ0NBYxUNMYaooStqFFVmP1r3HM4rVq1cr5ubmypIlS5SLFy8qPXv2VOzt7ZWgoCBFURSlQ4cOynfffadf/8iRI4qJiYkyefJk5dKlS4qfn58MN5sNJfW4mThxomJmZqasX79eefDggf726tUrrd6CSGdJPWbeJ6NCZT9JPWZu376t5MiRQ+nbt69y5coVZdu2bYqjo6MyduxYrd6CSGdJPWb8/PyUHDlyKKtWrVJu3ryp/PHHH0qRIkUUHx8frd6CyKSkKdT/a926NY8fP2bkyJEEBQXh5ubGzp079Z2fbt++bVDNV69enZUrVzJ8+HCGDRtGsWLF2LRpE2XLltXqLQgNJPW4mTt3LuHh4bRq1cpgO35+fowaNSo9owuNJPWYESKpx0z+/PnZtWsXAwcOpHz58uTLl4/+/fszZMgQrd6CSGdJPWaGDx+OTqdj+PDh3Lt3jzx58uDt7c24ceO0egsik9IpilzjEkIIIYQQQqSMnBYTQgghhBBCpJgUFkIIIYQQQogUk8JCCCGEEEIIkWJSWAghhBBCCCFSTAoLIYQQQgghRIpJYSGEEEIIIYRIMSkshBBCCCGEECkmhYUQQgghhBAixaSwEEIIIYQQQqSYFBZCCCGEEEKIFJPCQgghhBBCCJFiUlgIIYQQQgghUkwKCyGEEEIIIUSKSWEhhBBCCCGESDEpLIQQQgghhBApJoWFEEIIIYQQIsWksBBCCCGEEEKkmBQWQgghhBBCiBSTwkKIbKxz587Y2NhoHUMIkYlduHCB9u3bky9fPszNzcmbNy/t2rXjwoULWkcTQqQznaIoitYhhBDp5+nTp6xYsYJDhw5x8OBBnjx5Qv369alYsSI+Pj5UrFhR64hCiEzC398fX19fcubMSbdu3ShUqBCBgYEsXryYp0+fsnr1apo3b651TCFEOpHCQohsZPXq1fTo0YPXr1/j6upKREQEQUFBVKxYkXPnzhEREUGnTp1YsGABZmZmWscVQmRgN27coHz58hQoUICDBw+SJ08e/XNPnjyhVq1a3Llzh3/++YfChQtrmFQIkV6kKZQQ2cSRI0do3749zs7OHDlyhICAADw8PLCwsODEiRPcv38fX19fli5dysCBAwFQFAVXV1eaNm0aa3thYWHY2dnRq1cvAA4cOIBOp2P9+vWx1rWxsaFz5876x0uWLEGn0xEYGKhfduHCBRwcHPDy8iIyMtJgvZMnTxps78mTJ+h0OkaNGmWwPK5lP/30Ezqdjrp16+qXxWQ9cOCAwbqenp5xbuN9Ma+P7xbXez148CC9evUiV65c2Nra0rFjR54/f26wXVdXV4PXAqxbtw6dToerq6t+WWBgIDqdjsmTJ8fKVrZsWYP3Gh4ezsiRI6lcuTJ2dnZYW1tTq1Yt9u/fH+d7i8n7/u3d/b8rvp/Bu58twPLly6lcuTKWlpbkzJmTNm3acOfOHYOcderUoXDhwjx+/Fi/fNSoUeh0OoNtTZ48GRMTE3bs2KFfVrduXcqWLRsr3+TJk+PMM2fOHMqUKaNvutOnTx9evHgR6/V///03jRs3xsHBAWtra8qXL8/PP/8MqE0JEzoO3t1vYj/bhMR87on5ecf8TOJad8mSJQbrzZ07l7Jly2JlZWWwXlz/l9/1008/ERoayoIFCwyKCoDcuXMzf/58QkJCmDRpkn55zOd5+fJlfHx8sLW1JVeuXPTv35+wsLBY+/jQcRPzPsuWLcvFixepV68eVlZW5MuXz2C/Qoj0YaJ1ACFE+pg4cSLR0dGsXr2aypUrx3o+d+7cLFu2jIsXLzJ//nz8/PxwdHSkffv2TJo0iWfPnpEzZ079+lu3biU4OJj27dunONudO3do2LAhJUuWZO3atZiYpM6vphcvXjBhwoRErXvw4EGDL6qJ0a9fPz7++GODZd27d49z3b59+2Jvb8+oUaO4cuUKc+fO5datW/oiJS6RkZF8//33Scr0vuDgYBYtWoSvry89evTg1atXLF68mAYNGnD8+HHc3NzifN0PP/xAoUKFAJgyZUqsIuhdzZs3p0WLFgAcOnSIBQsWGDw/btw4RowYgY+PD927d+fx48fMnDmT2rVrc+bMGezt7TEzM8Pf359PPvmE5s2bs3fvXszNzWPta/PmzQwZMoTp06fTuHHjZP1MRo0axejRo/Hw8KB37976z+PEiRMcOXIEU1NTAHbv3o2XlxcuLi70798fZ2dnLl26xLZt2+jfvz+9evXCw8NDv90OHToY/CyAWF+4Y6Tks/X19dW/9x07drBq1ap41y1ZsqR+P0+ePNGfNIixZs0avvzyS+rWrctXX32FtbU1ly5dYvz48R/MsXXrVlxdXalVq1acz9euXRtXV1e2b98e6zkfHx9cXV2ZMGECx44dY8aMGTx//pxly5bp10nMcRPj+fPnNGzYkBYtWuDj48P69esZMmQI5cqVo1GjRh98L0KIVKIIIbKFnDlzKgULFjRY1qlTJ8Xa2tpg2YgRIxRA2bp1q6IoinLlyhUFUObOnWuwXpMmTRRXV1clOjpaURRF2b9/vwIo69ati7Vva2trpVOnTvrHv/76qwIoAQEByrNnz5TSpUsrJUqUUJ48eWLwupj1Tpw4YbD88ePHCqD4+fkZLH9/2bfffqs4OjoqlStXVurUqaNfHpN1//79+mXVqlVTGjVqFOd235ec91q5cmUlPDxcv3zSpEkKoGzevFm/rGDBggavnTNnjmJubq7Uq1fP4LMLCAhQAOWnn36Ktf8yZcoYvNfIyEjl7du3Bus8f/5ccXJyUrp27Rrr9QsWLFAA5eTJk/plnp6esY4dRVGUiIgIBVBGjx4d6/0GBAQoiqIogYGBirGxsTJu3DiD1/7777+KiYlJrOVXrlxRHBwclPbt2yuKoih+fn5KzJ+qM2fOKNbW1kqfPn1iZalTp45SpkyZWMt/+ukngzyPHj1SzMzMlM8++0yJiorSrzdr1iwFUH755RdFUdSfW6FChZSCBQsqz58/N9hmzDH/voSOncR+tgm5evWqAiiTJ0+O9/29q0aNGkq9evX0j2OOm19//VW/zNfXV7G3t1fevHmjX5bQ8R3jxYsXCqA0bdo0wcxNmjRRACU4OFhRlP8+zyZNmhis9+WXXyqAcu7cOUVRknbc1KlTRwGUZcuW6Ze9fftWcXZ2Vlq2bJlgPiFE6pKmUEJkE69evcLR0fGD6zk5OQHqmW6A4sWLU61aNVasWKFf59mzZ/z++++0a9cu1tn2V69e8eTJE4NbfMLCwmjSpAmPHz9m586d5MqVKzlvLU737t1j5syZjBgx4oMjX/n7+3PixAkmTpyYavt/X8+ePfVnwgF69+4dqznPu0JDQ/nhhx/o27cvBQoUiHed93/WUVFRBusYGxvr+8tER0fz7NkzIiMjqVKlCqdPn461zZjmKBYWFh98T+Hh4QBxXlmI4e/vT3R0ND4+PgY5nZ2dKVasWKwmWcWLF2fDhg2sWLGCsWPH6pc/ePAAb29v3N3d9U2R3hcVFRXr5xEaGmqwzp49ewgPD2fAgAEYGf33J7BHjx7Y2trqz66fOXOGgIAABgwYYHBmHIj3ClNiJeazjUtSPhtQP5+EPhtQ/79aWVklepvvvg4gR44cCa4X83zM75MYffr0MXj81VdfAej/PyT1uLGxsTG4empmZkbVqlW5efNmkt6XECJlpCmUENlE3rx5uXHjxgfXu379OgD58uXTL+vYsSN9+/bl1q1bFCxYkHXr1hEREUGHDh1ivb5r166JztSlSxeOHTuGhYWFvl9FavHz8yNv3rz06tUrwbbiUVFRDBs2jHbt2lG+fPlUzfCuYsWKGTy2sbHBxcUlzrbxAFOnTiUsLIxhw4YxaNCgONfx8/PDz88v1vKY4jDG0qVLmTJlCpcvXyYiIkK/PKap07tiCkE7O7sE3w+g75OQUOF27do1FEWJ9f5jvFtsxXj8+DGKouj7hgA0bdqUu3fvGjTHe9/ly5fjbXoU49atWwCUKFHCYLmZmRmFCxfWPx/zfyWufhsplZjPNi5J+WxA/XwKFiyY4Dru7u5s27aNUaNG0bVrV6ysrHj58uUHtx1TMMQUGPGJrwB5/3goUqQIRkZG+v8PST1uPvroo1gFn4ODA//880/Cb0QIkaqksBAim/Dy8mL27NksXryYbt26xbnOw4cPWbp0KXny5OGTTz7RL2/Tpg0DBw5kxYoVDBs2jOXLl1OlSpVYX84ARo4cGavNtbe3d5z7O336NJs3b6Zv37707NmTffv2peAd/ufSpUssWbKE5cuXx/nF9V2LFy8mMDCQXbt2pcq+U8OTJ0/46aefGDp0aIJfpHv27Mnnn39usKxHjx4Gj5cvX07nzp1p1qwZgwcPxtHREWNjYyZMmBBnoRkYGIipqSl58+b9YM6goCAAnJ2d410nOjoanU7H77//jrGxcazn3y9KXr9+zaBBg/D19cXFxYWpU6fqc23evJmWLVsyc+ZMBgwYEGtbrq6uLFy40GDZunXrYvX50FJiP9u4vNsRPDGCgoJo0KBBgusMHDiQK1euMGbMGEaPHp3oLHZ2dri4uHzwi/s///xDvnz5sLW1TXC994uCpB43ca0D6gAUQoj0I4WFENnE8OHD2bRpE7179+by5cu0bdtW32zm9u3b7N27l5EjR/L8+XNWrlxp0IQiZ86ceHp6smLFCtq1a8eRI0eYPn16nPspV66cQYdWiP+P/qJFi2jSpAnGxsZ4eXklWPQkxdChQ3Fzc6N169YJrhcaGsro0aP58ssvP3hmN6WuXbtGvXr19I9fv37NgwcP4uyAPHbsWHLkyEH//v0T3GaxYsVi/aytra0NHq9fv57ChQvj7+9v8OUtrisdACdPnqRSpUoGzYTic/HiRQBKlSoV7zpFihRBURQKFSpE8eLFP7hNPz8/Xr16xZQpU3BycuLChQvs2rWLTZs2Ub16dfr374+fnx+tW7fGxcXF4LXW1taxfh5nz541eBzzOV+5csVgCNTw8HD9SGkxuQHOnz8fa5spkdjPNi4nT57ExMQk3g7377p79y6vXr1K8LMBsLS0ZOHChZw5cwY7Ozv8/Pw4d+4c33zzzQf34eXlxcKFCzl8+DA1a9aM9fyhQ4cIDAzUjxz3rmvXrhlcMbt+/TrR0dH6oimpx40QImOQPhZCZBPOzs4cPXqURo0aMWXKFCpVqsTy5csJCQmhYMGCdO3aFUtLS7Zu3Yqvr2+s13fo0IGLFy8yePBgjI2NadOmTYozxVzZ8PT0pE2bNgwePJiHDx+maJtHjx5l8+bNTJw48YNt4X/++WdCQkJSPPJSYixYsMCgGdLcuXOJjIyMNWJNYGAgc+fOZdSoUVhaWqZ4vzFF3btnbv/++2+OHj0aa92LFy9y8eLFOIcXjsuaNWtwcXFJ8MtrixYtMDY2ZvTo0bHOHiuKwtOnT/WPz58/z4wZMxg9ejQuLi4YGRnpr5xVr14dUEd0ypEjR5KaEL3Lw8MDMzMzZsyYYZBn8eLFvHz5Ek9PTwAqVapEoUKFmD59eqxhaJN7Fjwln214eDhbtmzh008//WCfIVDnrAH49NNPP7ju0KFDuX37NsuXL8fDwyPOUePiMnjwYCwtLenVq5fB5whqP6wvvvgCKysrBg8eHOu1s2fPNng8c+ZMAP3/h6QcN0KIjEOuWAiRjeTPn5/Nmzfz4MEDjhw5wk8//cTZs2eZN28ebm5uuLm5xftl3NPTk1y5crFu3ToaNWqUqI7gSfHzzz9TqlQpvvrqK9auXWvw3NGjRw06gcd0BL1+/TrHjx+natWq+uf++OMP6tevn6izzH/88Qfjxo1L1U7j8QkPD+d///sfPj4+XLlyhTlz5lCzZk2aNGlisN6ff/5JqVKl6NKlS6rs18vLC39/f5o3b46npycBAQHMmzeP0qVL8/r1a/16u3bt0p+ltrS0ZPny5frn7t27R0hICMuXL6d9+/acPHmSESNGsHPnTubNm5dgAVekSBHGjh3L0KFDCQwMpFmzZuTIkYOAgAA2btxIz5499fv98ssvKVOmjL4jb1xsbGyYNm0aPj4+9OjRI1FfnN+VJ08ehg4dyujRo2nYsCFNmjTRfx4ff/yxvgOwkZERc+fOxdvbGzc3N7p06YKLiwuXL1/WX0VJquR+tv/88w+jR4/m7t27eHp6Gnw2MR3wN23apD8h4Ofnx6JFi2jTpg0lS5ZMcNt79uxh2rRp/Pbbb0m+alesWDGWLl1Ku3btKFeuXKyZt588ecKqVav0V3/eFRAQQJMmTWjYsCFHjx5l+fLltG3blgoVKgBJO26EEBmIJmNRCSEyhLiGm01IzJCQK1eujPVccoebfdfSpUsVQNmyZYvBegnd3h1aFVB0Op1y6tQpg+3WqVMnzuFmXVxclJCQEIN1SaPhZv/880+lZ8+eioODg2JjY6O0a9dOefr0qcFrCxYsqADKxo0bDZZ36tQp2cPNRkdHK+PHj1cKFiyomJubKxUrVlS2bdsWa5sxQ3Z+6KYoivLjjz8qH3/8sbJixYpY+4/vs92wYYNSs2ZNxdraWrG2tlZKliyp9OnTR7ly5YqiKOpnr9PplCNHjhi87t3hZt9Vv359pWTJkvqhdBM73GyMWbNmKSVLllRMTU0VJycnpXfv3rGGlVUURTl8+LBSv359JUeOHIq1tbVSvnx5ZebMmbHWU5QPDzebmM82LjE/gw/d9u/frxw5ckQpWrSoMmrUqFjDDL8/3OyTJ0+UvHnzKr6+vgbrJWa42Xf9888/iq+vr+Li4qKYmpoqzs7Oiq+vr/Lvv//G+14uXryotGrVSsmRI4fi4OCg9O3b12DI2xgfOm4UJf7PPjE/WyFE6tIpivRsEkIkzsCBA1m8eDFBQUFYWVlpHYdRo0Zx4MCBWDNoZyRLliyhS5cunDhxgipVqmgdJ15169albt268c46HhgYSKFChaQzrAYSc5y7urqyZMkSg1nXM6KYyQkfP35M7ty5tY4jhEhl0sdCCJEoYWFhLF++nJYtW2aIokIIIYQQGYv0sRBCJOjRo0fs2bOH9evX8/Tp02SNZpNWihYtGmsCNJE89evXT7ATto2NDe3atUvHRCJG+fLlPzhscvPmzWPNXyKEEOlNCgshRIIuXrxIu3btcHR0ZMaMGYka6jK9vDvTrkiZD42MlTt3boNOwyL9tGjR4oPrTJs2LR2SCCFEwqSPhRBCCCGEECLFpI+FEEIIIYQQIsWksBBCCCGEEEKkWKboYxEdHc39+/fJkSPHB2fSFUIIIYQQQqQORVF49eoVefPmxcgo4WsSmaKwuH//Pvnz5/8/9u46rqr7j+P469IlKAagYncrFsbUiaJib3Y7u2Vu6qZi66ZOZ8/W2dg1ddaM6UxsnQE2tiAgec/vj/OTjYFKnwt8no/HfXDv4cQbuMD93G9pHUMIIYQQQogM6cGDB+TOnfuj+6SJwiJTpkyA+gXZ2tpqnEYIIYQQQoiMITAwEGdn5+jX4x+TJgqL992fbG1tpbAQQgghhBAilcVnOIIM3hZCCCGEEEIkmRQWQgghhBBCiCSTwkIIIYQQQgiRZAkuLI4ePUqTJk3ImTMnOp2Obdu2ffKYI0eOUKFCBczNzSlUqBArVqxIRFQhhBBCCCGEoUpwYREcHEzZsmWZN29evPb39fXFw8ODOnXq4OPjw5AhQ+jRowf79u1LcFghhBBCCCGEYUrwrFANGzakYcOG8d5/4cKF5M+fnxkzZgBQvHhxjh8/zsyZM3F3d0/o5YUQQgghhBAGKMWnmz158iRubm4xtrm7uzNkyJCUvnSy2rYN/P21TmFYcuUCd3cwM9M6iRBCCCFEIikKBAbCs2fw9Kn68cUL0Ou1TqaqVAlcXLROES8pXlj4+/vj4OAQY5uDgwOBgYG8e/cOS0vLWMeEhYURFhYW/TgwMDClY37SjBlw/LjWKQxP1qzQoQN06wblymmdRgghhBDiE54/hw0bwNsbfH3VQuJfrzsNzoQJUlgkxZQpUxg3bpzWMWL47DPInl3rFIZDUeDUKbUVZ/Zs9Va2rFpgdOgA2bJpnVAIIYQQ4v/evYOdO+HXX2HvXoiMjL2PjQ3kyAEODuoLGRMDeZlctKjWCeItxb9jjo6OPH36NMa2p0+fYmtrG2drBcDIkSPx9PSMfvx+KXEtTZqk6eUNUmQk7N8Py5fDjh1w8SIMGQLffAMdO8K0aWqLhhBCCCGEJk6fhkWL1NaJf/eAcXFRX6xUq6YWEzlygJWVdjnTiRQvLFxdXdmzZ0+Mbb///juurq4fPMbc3Bxzc/OUjiaSyMQEGjVSby9fwrp1sGIFnDunFhu7d8O8efDll1onFUKI9O1t2FvOPD7DXw//wj/In5E1R+Jo46h1LCG0ExAAw4fDL7/8s83ZWS0mOnaEEiW0y5aO6RRFURJyQFBQELdv3wagfPny/PTTT9SpUwd7e3vy5MnDyJEjefToEatWrQLU6WZLlSpF//796d69O4cOHWLQoEHs3r073rNCBQYGYmdnR0BAALa2tgn8EkVqO3ECevaE69fVxy1bqgWGo/yPE0KIZHHzxU2O3jvKX4/+4q9Hf3H12VUU/vl37uLkwh9d/8DazFrDlEJoZMcO6NsXHj9WH3foAD16qP3ajWRt6IRKyOvwBBcWR44coU6dOrG2d+nShRUrVtC1a1f8/Pw4cuRIjGOGDh3KtWvXyJ07N6NHj6Zr167xvqYUFmlPWBhMnAhTp6pdprJkgZkzoXNn0Om0TieEEGnX0vNL6bmzZ4xCAiCvXV6q5K7CId9DvAh5QYtiLdjUehNGOnkhJTKIp09h0CDYuFF9XLgwLF4MtWppmyuNS9HCQgtSWKRdFy9C9+5w/rz62N1dbZXMm1fbXEIIkRbdeXWHMgvLEBIRQnXn6nyW9zOq5KpCldxVors+nbh/gs9XfU54VDjfVPuGH+v9qHFqIVKYosDKleDpCa9fg7GxOuBzzBj4wHheEX9SWAiDEhmpTtfr5aW2ZNjYqC0ZfftKi6QQQsRXlD6KWitqceLBCerkq8OBzgc+2Bqx9vJaOmzpAMCixovo6dIzNaMKkXrevVO7Om3dqj6uUAGWLIHy5bXNlY4k5HW4vKwTKc7ERB0/dfEi1KgBQUEwYIDaMvn331qnE0KItOGnkz9x4sEJMpllYlmzZR/t4tS+dHvG1hoLQN/dfTlw90AqpRQiFQUEQIMGalFhbg4//AB//SVFhYaksBCppmhR+OMPmDsXrK3VBQfLlIEff4x7OmkhhBCqq8+uMurwKABmus8kX+Z8nzxmTK0xdCzTkSglii83fsm159dSOKUQqejZM6hTB44eBVtbdf77b781nLUnMigpLESqMjKC/v3h6lWoX1/tGjV8OFStCpcuaZ1OCCEMT0RUBJ23dSY8KhyPwh50L989XsfpdDqWNFlCjTw1CAgLoPHaxjwLfpbCaYVIBffuqV0gLlxQ1584ckSd8UloTgoLoYm8edWFL5cvh8yZ1bUvXFzUcVZhYVqnE0IIwzHp2CTOPzmPvaU9i5ssRpeAqfXMTczZ2mYrBbIUwPeNL83XNyc0MjQF0wqRwq5dg+rV4dYt9cXE8ePS9cmASGEhNKPTQdeu6t+IFi3U7lATJqjjrv76S+t0QgihvbOPzzLx6EQA5jeaj1MmpwSfI5tVNna3301mi8ycfHiSbtu7oVf0yR1ViJR3+rTaMvHokbrA3YkT6pSywmBIYSE05+QEmzer007nyKEWGq6u6qxxISFapxNCCG2ERobSeWtnopQo2pRsQ5tSbRJ9rmLZirGl9RZMjExYf2U9Y4+MTb6gQqSGo0ehbl14+RIqV1Yf58qldSrxH1JYCIOg00GrVmpR0amTOiX1zJlQujQcPqx1OiGESH2jDo3i+ovrONo4Mq/RvCSfr07+OixqvAiACUcnsOriqiSfU4hUcfs2NG+uTitZty4cPAhZs2qdSsRBCgthULJmhVWrYPduyJ0b7t6Fzz+H3r3VWeWEECIjOHbvGD+d/AmAJU2WkNUqeV5EdSvfjRHVRwDQY0cPjt47miznFSLFBARAkybqwndVqsCuXeqCWMIgSWEhDFKjRurMUX37qo8XLYKSJdW/J0IIkZ4FhQfRdXtXFBS6l+uORxGPZD3/pLqT+KL4F0ToI2ixoQW3X91O1vMLkWyioqBtW7hxQ323cds2sLDQOpX4CCkshMGytYX589VZ5AoVUsdqNWkCHTvCixdapxNCiJQxbP8w7r6+S167vMxsMDPZz2+kM2JVi1VUylmJV+9e4bHWg1fvXiX7dYRIsm+/VaeQtLSE7dvB0VHrROITpLAQBq9WLXXV7mHD1HUw1qxRJ4PYsEEdiyGEEOnFvtv7+OXcLwAsb7YcW3PbFLmOlakVO9rtII9dHv5++TdfbPyC8KjwFLmWEImydCn8pHYHZOVKdcpIYfCksBBpgpUVTJsGJ09CqVLw/LnaOtqiBTx+rHU6IYRIutfvXtN9h7r43aDKg6iTv06KXs/RxpFd7XaRySwTR/yO0HtXbxR5t0YYgmPH/ukLPXasOruLSBOksBBpSuXK6mJ6Xl5gaqq2jJYoob6xIf8PhRBp2cDfBvL47WOKZC3CFLcpqXLN0g6l2dhqI0Y6I1b4rGDq8ampcl0hPsjPD1q2hIgItaAYPVrrRCIBpLAQaY6ZmfoGxrlzULGiOmFEjx5Qvz74+mqdTgghEm7ztc2subwGI50RK5uvxMrUKtWu3aBQA+Y0nAPAd4e+w/uqd6pdW4gYgoKgaVN1IGWFCrBihdoHWqQZ8tMSaVbp0mrXqGnT1EkiDhxQt82eDXpZVFYIkUY8DXpKn919ABhRfQRVc1dN9Qz9KvVjcJXBAHTe1plTD0+legYh+PpruHxZHaS9fbvaD1qkKVJYiDTNxEQd1H3pEnz2GQQHw+DBULOmOjudEEIYMkVR6L2rNy9CXlDGoQxjao3RLMuM+jNoXKQxoZGhNFvfDL83fpplERnQ/v3q3PIAa9eq08uKNEcKC5EuFC6srtA9f766bs6ff0LZsjB5stpNUwghDNGqi6vYfnM7pkamrGq+CnMTc82yGBsZs+6LdZRzLMez4Gd4rPUgIFRWJhWpICAAvvpKvT9wINRJ2YkLRMqRwkKkG0ZG6iQSV69CgwYQHg7ff68u1HnhgtbphBAipgcBDxi0dxAAY2uPpaxjWY0TgY2ZDTvb7SRnppxce36NVt6tiIiSd2dECvP0hIcPoWBBmJI6ExeIlCGFhUh38uSBPXtg1Sqwt1eLikqV1CIjNFTrdEIIAXpFT/cd3QkMC6RKrip8W/1brSNFy22bm53tdmJlasXvd39n4G8DZRpakXL27IFly0Cng+XLwdpa60QiCaSwEOmSTgedOsG1a/DllxAVpXaLKl9eHfAthBBaWnh2IQfuHsDSxJJVLVZhYmSidaQYKjhVYG3LtejQ8cu5X5h5KvlXABeC16+hZ0/1/pAh6gBJkaZJYSHSNQcH8PaGzZvV+zduQPXq6t+v4GCt0wkhMqLbr27zze/fADDVbSpFshbROFHcmhVrxoz6MwAYtn8Y229s1ziRSHeGDFFXuS1SBCZO1DqNSAZSWIgMoWVLtfWia1d1Ib2ff1ZX8D5wQOtkQoiMJEofRZdtXQiJCKFOvjoMqDxA60gfNaTqEPq49EFBof2W9px/cl7rSCK92LFD7bNsZKSuVyFTy6YLUliIDMPeXu2+uXevOg7Dzw/q1VMX13vzRut0QoiMYMbJGfz54E8ymWViebPlGOkM+9+wTqdjdsPZ1C9Yn5CIEJqsa8LDwIdaxxJp3cuX0Lu3en/YMHB11TaPSDaG/RdNiBTg7g5XrkD//urjpUuhZEn1zRMhhEgpV55dYfTh0QDMajCLvJnzapwofkyNTdn45UZKZC/B47ePabKuCUHhQVrHEmnZoEHg7w/Fi8O4cVqnEclICguRIWXKBHPnwtGj6hoYjx9Ds2bQti08f651OiFEehMeFU7nrZ0JjwqncZHGdCvXTetICWJnYcfu9rvJYZ0DH38f2m9uT5Q+SutYIi3av19dAM/YGFauBAsLrROJZCSFhcjQataEixdh+HD1b9yGDeobKGvXqmMxhBAiOUw6OokL/hewt7RncZPF6HQ6rSMlWL7M+djedjsWJhbs/Hsnw/YP0zqSSGsiI9U1KwAGDFDnghfpihQWIsOztISpU+Gvv6BMGbXrZ4cO0LQpPHqkdTohRFp35tEZJh2bBMACjwU42jhqnCjxquauysrmKwGY9dcs5p+Zr3EikaYsXaquYmtvD15eWqcRKUAKCyH+z8UFzpyB8ePB1BR27YISJWDxYmm9EEIkzruId3TZ1oUoJYq2pdrSumRrrSMlWeuSrZn0uVooDfptEHtv79U4kUgTAgNhtDrGCC8vyJJF2zwiRUhhIcS/mJmpf/cuXIAqVdS/g716Qd26cOeO1umEEGnNqEOjuP7iOo42jsxtOFfrOMlmZI2RdCmrFkytvVtz5dkVrSMJQzd5sjqIsUgR6NtX6zQihUhhIUQcSpaEEyfgp5/UrlKHD0Pp0jBzprqKtxBCfMoffn9Er1i9tOlSslpl1ThR8tHpdCxqsohaeWvxNvwtHms98A/y1zqWMFS+vuo/UIDp09VuASJdSlRhMW/ePPLly4eFhQVVqlTh9OnTH91/1qxZFC1aFEtLS5ydnRk6dCihoaGJCixEajE2hqFD4fJlqFMH3r1Tx5zVqKEutieEEB/yNuwt3bZ3Q0GhR/keNCrcSOtIyc7M2IwtbbZQ2L4w9wPu02x9M0IiQrSOJQzRiBEQHq42/zdurHUakYISXFhs2LABT09PvLy8OH/+PGXLlsXd3Z1nz57Fuf/atWsZMWIEXl5eXL9+naVLl7Jhwwa+++67JIcXIjUULKiu0P3LL+o0tadOQfnyMHEiRERonU4IYYiG7R+G7xtf8trlZYb7DK3jpBh7S3t2t9+NvaU9px+dpsu2LugVvdaxhCE5cQI2bgSdTu0GkAZnRBPxl+DC4qeffqJnz55069aNEiVKsHDhQqysrFi2bFmc+//5559Ur16d9u3bky9fPurXr0+7du0+2cohhCExMlLHWly7Bh4e6hsvo0erM+WdP691OiGEIfnt1m8sOr8IgBXNV2BrbqtxopRVOGthtrbZiqmRKZuubWLUoVFaRxKGQq//Z3rZr75Sp14U6VqCCovw8HDOnTuHm5vbPycwMsLNzY2TJ0/GeUy1atU4d+5cdCFx9+5d9uzZQ6NGH24WDgsLIzAwMMZNCEOQOzfs3Alr1kDWrOoaGJUrq628795pnU4IobVX717x1Y6vABhcZTC189XWNlAq+SzvZyxpugSAKcensPzCco0TCYOwbh2cPg02NjBhgtZpRCpIUGHx4sULoqKicHBwiLHdwcEBf/+4B221b9+e8ePHU6NGDUxNTSlYsCC1a9f+aFeoKVOmYGdnF31zdnZOSEwhUpROB+3bq60Xbdqog7l/+AHKlYPjx7VOJ4TQ0sDfBvIk6AlFsxZlSt0pWsdJVZ3Ldmb0Z+p0or129eKw72GNEwlNhYSo77oBfPcdOKbd9VtE/KX4rFBHjhxh8uTJzJ8/n/Pnz7NlyxZ2797NhI9UriNHjiQgICD69uDBg5SOKUSC5cgB69fDtm3g5AR//w2ffQYDB8Lbt1qnE0Kktk3XNrH28lqMdEasbL4SS1NLrSOlunG1x9G2VFsi9ZG03NiSmy9uah1JaOWnn+DhQ8iTB4YM0TqNSCUJKiyyZcuGsbExT58+jbH96dOnOH6gEh09ejSdOnWiR48elC5dmhYtWjB58mSmTJmCXh/3AC9zc3NsbW1j3IQwVM2aqa0XX32lLqQ3dy6UKgX792udTAiRWp4GPaXPrj6AusZDldxVNE6kDZ1Ox/Jmy3HN7cqb0Dd4rPXgRcgLrWOJ1PbypdqUD+pHy4xXZGdUCSoszMzMcHFx4eDBg9Hb9Ho9Bw8exNXVNc5jQkJCMDKKeRljY2MAFFnOWKQTmTPDkiXw+++QLx/cvw/u7tCtG7x+rXU6IURKUhSFXrt68fLdS8o6lGVMrTFaR9KUhYkF29puI3/m/Nx5fYcWG1oQFhmmdSyRmn7+GYKC1D7CbdponUakogR3hfL09GTx4sWsXLmS69ev07dvX4KDg+nWrRsAnTt3ZuTIkdH7N2nShAULFrB+/Xp8fX35/fffGT16NE2aNIkuMIRIL9zc1HUvBg1Sx2KsWAElSsDWrVonE0KklFUXV7Hj5g5MjUxZ1WIVZsZmWkfSXA7rHOxqvws7czuO3z9Oj5095M3EjCIgAGbPVu+PGiXTy2YwJgk9oE2bNjx//pwxY8bg7+9PuXLl2Lt3b/SA7vv378dooRg1ahQ6nY5Ro0bx6NEjsmfPTpMmTZg0aVLyfRVCGBAbG/XNmtat1e5RN29Cy5bQqhXMmQP/mftACJGG3Q+4z6C9gwAYX2c8ZRxkOs33SmQvwabWm2iwugGrL62msH3hDN+akyHMmaMWFyVLQosWWqcRqUynpIG3EAIDA7GzsyMgIEDGW4g0JTQUxo+HH39UZ4+yt4dZs6BjR3kTR4i0Tq/ocV/tzoG7B6iauyrHuh3DxCjB79ele4vPLabXrl4ArGm5hval22ucSKSYoCDImxdevYK1a6FdO60TiWSQkNfhKT4rlBAZmYUFTJ4MZ86oXU1fvYLOndVF9mSyMyHStgVnFnDg7gEsTSxZ2XylFBUf0NOlJ8NchwHQbXs3Ttw/oXEikWIWLFD/0RUurDbbiwxHCgshUkH58uoaQZMmgZkZ/Pab2kq8cKG6MKkQIm259fIW3/z+DQA/uP1AkaxFNE5k2Ka6TaV5seaER4XTfENz7r6+q3UkkdxCQmD6dPX+d9+BjKPNkKSwECKVmJqqf2svXoRq1dS1Lvr2hc8/h1u3tE4nhIivKH0UXbZ14V3kOz7P/zn9K/fXOpLBMzYyZnWL1bg4ufAi5AUeaz14/U6mzEtXFi+GZ8/UqRE7dNA6jdCIFBZCpLJixeDoUXWAt5UV/PEHlCmjvtETFaV1OiHEp0z/czonH54kk1kmljdbjpFO/pXGh7WZNTva7SC3bW5uvLhBK+9WRERFaB1LJIfQUHUwIcDIkeo7aSJDkr+GQmjA2FidkvbKFahbV/2b/M034OqqbhNCGKbLTy8z5og6s9HPDX4mj10ejROlLTkz5WRXu13YmNlw0PcgfXf3lWlo04Ply+HxY8idG7p00TqN0JAUFkJoKH9+dVG9JUvAzk4d5F2hAowbB+HhWqcTQvxbeFQ4nbd1JjwqnCZFmtC1XFetI6VJZR3Lsv6L9RjpjFh6YSnT/pymdSSRFBERMHWqev/bb8HcXNs8QlNSWAihMZ1OXe/i2jVo2lT9Gz12LLi4qIWGEMIwTPhjAj7+PmS1zMqiJovQyZzRieZRxIOZ7jMBGH5gOFuub9E4kUi0X3+F+/fVRZp69NA6jdCYFBZCGIicOWHbNli/HrJnV7tEVa2qdpEKCdE6nRAZ2+lHp5lyfAoACzwW4GjjqHGitG9QlUEMqDQAgI5bOnLmkbyTkuZERqpzqoP6z8rSUts8QnNSWAhhQHQ6aNNGbb1o316dinb6dChbVh3kLYRIfe8i3tFlWxeilCjalWpHq5KttI6UbsxsMJOGhRryLvIdTdc35X7Afa0jiYRYvx7u3IFs2aBPH63TCAMghYUQBihbNlizBnbuhFy54PZtqF1bnZ42MFDrdEJkLN8f+p4bL27gZOPE3EZztY6TrpgYmbDhyw2UzlEa/yB/Gq9tTGCY/JFLExTln5mghg4Fa2tt8wiDIIWFEAascWO4ehV69VIfL1wIpUqpC+wJIVLeH35/MOvULACWNF2CvaW9toHSoUzmmdjVfheONo5cfnaZNpvaEKmP1DqW+JQ//oDLl9V50/v10zqNMBBSWAhh4Ozs4Jdf4NAhKFAAHjyARo2gc2d4+VLrdEKkX2/D3tJ1e1cUFHpW6Emjwo20jpRu5bHLw852O7E0sWTv7b0M2TtEpqE1dHPmqB87d4bMmTWNIgyHFBZCpBF16qhvDnl6gpGROhFHiRKwaZPWyYRIn77e/zV+b/zIlzkfM+rP0DpOulcxZ0XWtFyDDh3zzsxjzuk5WkcSH3LvnjrbCMDAgZpGEYZFCgsh0hArK5gxA/78Uy0qnj2DVq3giy/gyROt0wmRfuy5tYfF5xcDsKLZCjKZZ9I4UcbQongLfnD7AYCh+4ay6+9dGicScZo/X51dpG5d9Z+REP8nhYUQaVCVKnD+PIweDSYmsGWL+rd9xQp1PJ0QIvFevXtFjx3qfPxDqgyhVr5aGifKWIZVG0aP8j3QK3rabmrLRf+LWkcS/xYSAovVoptBg7TNIgyOFBZCpFHm5jB+PJw9qy6m9+YNdOsGDRuqrdRCiMQZsGcAT4KeUCxbMSbXnax1nAxHp9Mx32M+n+f/nOCIYBqva8zjt4+1jiXeW7sWXr+G/PnBw0PrNMLASGEhRBpXtiycOgVTp6rFxr59ULIkzJuntlQLIeLP+6o3666sw1hnzMrmK7E0lQW/tGBqbMqmVpsolq0YDwMf0nRdU4LDg7WOJRQFZs9W7w8YAMbG2uYRBkcKCyHSARMTGD4cLl2CGjUgOFj9m1+rFvz9t9bphEgb/IP86bu7LwAja4ykcq7KGifK2LJYZmF3+91ks8rGuSfn6Li1I1H6KK1jZWz/nmK2e3et0wgDJIWFEOlIkSLq3/25c8HGBo4fhzJl4IcfIFKmhRfigxRFodfOXrx895JyjuUYXWu01pEEUCBLAba33Y65sTnbbmxj+IHhWkfK2N63VsgUs+IDpLAQIp0xMoL+/eHKFahfH8LCYMQIqFoVLsoYSCHitPLiSnb+vRMzYzNWNV+FmbGZ1pHE/1VzrsbyZssBmHFyBovOLdI4UQZ17x5s367elylmxQdIYSFEOpU3L+zdC8uXq28snTsHFSuqM0mFhWmdTgjDcT/gPoP3DgZgfO3xlHYorXEi8V/tSrdjXO1xAPTb3Y8Ddw9onCgDej/FrJubTDErPkinpIGlLQMDA7GzsyMgIABbW1ut4wiR5vj7q60YW7aoj0uUgKVL1VYMITIyvaKn3q/1OOR7CNfcrhzrdgxjIxmQaogURaHzts6svrQaO3M7/vzqT0pklxe4qSIkBHLnVmeD2r4dmjZN9KmioqKIiIhIxnAiqYyNjTExMUGn08X5+YS8DpfCQogMZNMmtcB49gx0OhgyBCZMAGtrrZMJoY25p+cy8LeBWJla4dPbh8JZC2sdSXxEWGQYbr+6cfz+cfJlzsdfPf4ih3UOrWOlf4sXQ69e6hSzt24lejaooKAgHj58SBp46ZnhWFlZ4eTkhJlZ7G6gUlgIIT7o5Uvw9IRVq9THBQrAkiVQp462uYRIbbde3qLswrK8i3zH3IZz6V+5v9aRRDy8CHlB1SVVufP6DlVzV+VQ50MyLXBKUhR1XvPLl2HGDPUfSCJERUVx69YtrKysyJ49+wffHRepS1EUwsPDef78OVFRURQuXBgjo5gjJaSwEEJ80m+/Qe/e8OCB+rhnT5g2DezstM0lRGqI0kdRc3lNTj48Sd38ddnfaT9GOhl2mFbcfHGTqkur8ib0DW1KtmHtF2vl55dSjhxR33mysoJHjxI9G1RoaCi+vr7ky5cPS0spBA1NSEgI9+7dI3/+/FhYWMT4XEJeh8tvoRAZVMOG6sxRfdVp+1m8WF1Yb9cubXMJkRqm/zmdkw9PYmtuy/Jmy+VFaRpTNFtRtrTegomRCRuubsDrsJfWkdKvX35RP3bqlCxTzEpLhWH6bytFos+TLGcRQqRJtrbqRB9//AGFCqlvRjVpAh06wIsXWqcTImVcfnqZMUfGADC7wWyc7Zw1TiQSo07+OixqrE49O/HYRFZdXKVxonTo1SvYulW936uXtllEmiCFhRCCzz5TV+3+5ht1HYy1a9WZozZsULvXCpFehEeF02lrJ8KjwmlatCmdy3bWOpJIgm7luzGyxkgAeuzowdF7RzVOlM6sW6fOT162LJQvr3UakQZIYSGEAMDSEn78EU6dgtKl4flzaNsWWrSAx4+1TidE8pjwxwQuPr1IVsusLGq8SLplpAMTP5/IlyW+JEIfQYsNLbj18pbWkdKPZcvUj927q1MJZkBdu3ZFp9PRp0+fWJ/r378/Op2Orl27pn4wAyWFhRAihkqV4OxZGDsWTE3VKcvfr3shrRciLTv96DRTjk8BYGHjhTjYOGicSCQHI50Rq5qvonKuyrx69wqPtR68DHmpday0z8cHzp8HMzO1f2wG5uzszPr163n37l30ttDQUNauXUuePHk0TGZ4ElVYzJs3j3z58mFhYUGVKlU4ffr0R/d/8+YN/fv3x8nJCXNzc4oUKcKePXsSFVgIkfLMzMDLS/2fUqkSBARAjx5Qrx74+mqdToiEexfxjs5bOxOlRNG+dHu+LPGl1pFEMrI0tWRH2x3ktcvLrVe3aLmxJeFR4VrHStuWL1c/NmsGWbNqm0VjFSpUwNnZmS3vV5kFtmzZQp48eSj/ry5ie/fupUaNGmTOnJmsWbPSuHFj7ty5E+t8tWvXRqfTxbjNmjUr+vOXL1/m888/x9LSkqxZs9KrVy+CgoJS9GtMLgkuLDZs2ICnpydeXl6cP3+esmXL4u7uzrNnz+LcPzw8nHr16uHn58emTZu4efMmixcvJleuXEkOL4RIWaVKwcmTMH06WFjAwYPqtp9/hqgordMJEX8jD47k5subONk4MafhHK3jiBTgYOPArva7yGSWiaP3jtJrZy9ZiC2xwsJg9Wr1fvfuKXIJRYHgYG1uiXladO/eneXviy1g2bJldOvWLcY+wcHBeHp6cvbsWQ4ePIiRkREtWrRAr9f/52tX6NmzJ0+ePOHJkyfkzp07xjnc3d3JkiULZ86cwdvbmwMHDjBgwICEh9aCkkCVK1dW+vfvH/04KipKyZkzpzJlypQ491+wYIFSoEABJTw8PKGXihYQEKAASkBAQKLPIYRImlu3FKVWLUVR/yQriquroly7pnUqIT7t0N1DCmNRGIuy5+89WscRKWzvrb2K8ThjhbEoE/+YqHWctGnjRvUPfa5cihIZmSynfPfunXLt2jXl3bt3iqIoSlDQP/9PUvsWFBT/3F26dFGaNWumPHv2TDE3N1f8/PwUPz8/xcLCQnn+/LnSrFkzpUuXLnEe+/z5cwVQLl++HGO7q6urMmzYsOjHefPmVWbOnKkoiqIsWrRIyZIlixL0r5C7d+9WjIyMFH9///gHT6D//nz+LSGvwxPUYhEeHs65c+dwc3OL3mZkZISbmxsnT56M85gdO3bg6upK//79cXBwoFSpUkyePJkoebtTiDSlUCE4dAgWLoRMmdSWjHLlYNIkiIjQOp0QcQsMC6TbdvVdxZ4VetKwcEONE4mU5l7IPbpVatThUWy4skHjRGnQ+0HbXbqAsbG2WQxE9uzZ8fDwYMWKFSxfvhwPDw+yZcsWY59bt27Rrl07ChQogK2tLfny5QPg/v37MfYLDAzE2to6zutcv36dsmXLxvh89erV0ev13Lx5M3m/qBRgkpCdX7x4QVRUFA4OMQe8OTg4cOPGjTiPuXv3LocOHaJDhw7s2bOH27dv069fPyIiIvDyintBm7CwMMLCwqIfBwYGJiSmECKFGBmpq3U3agR9+sCePTBqFGzapP4fktkIhaHx3OfJvYB75M+cnxn1Z2gdR6SSvpX6cuvVLWaemkmXbV3IY5cHV2dXrWOlDQ8ewL596v3/dPVJTlZWoNWwASurxB3XvXv36C5J8+bNi/X5Jk2akDdvXhYvXkzOnDnR6/WUKlWK8PCY430eP35Mzpw5ExfCwKX4rFB6vZ4cOXKwaNEiXFxcaNOmDd9//z0LFy784DFTpkzBzs4u+ubsLIsXCWFInJ3VFbp//RXs7dXJQypVgu++g9BQrdMJodr9926WXliKDh3Lmy0nk3kmrSOJVDSt3jSaFGlCWFQYzdY3w/e1zDwRL6tWqT2GPvtMbapOITodWFtrc0vszLkNGjQgPDyciIgI3N3dY3zu5cuX3Lx5k1GjRlG3bl2KFy/O69evY53jzp07vH79Osag738rXrw4Fy9eJDg4OHrbiRMnMDIyomjRookLnooSVFhky5YNY2Njnj59GmP706dPcXR0jPMYJycnihQpgvG/mtKKFy+Ov79/rAruvZEjRxIQEBB9e/DgQUJiCiFSgU4HHTvC9evQurU6mHvKFLV71IkTWqcTGd3LkJf02NkDgCFVh1ArXy2NE4nUZmxkzNov1lLesTzPQ57TeF1j3oS+0TqWYVOUf2aDSqFB22mZsbEx169f59q1azFe1wJkyZKFrFmzsmjRIm7fvs2hQ4fw9PSMsc/Zs2fp1KkTpUuXpmLFinFeo0OHDlhYWNClSxeuXLnC4cOHGThwIJ06dYrVY8gQJaiwMDMzw8XFhYMHD0Zv0+v1HDx4EFfXuJsYq1evzu3bt2OMiP/7779xcnLCzMwszmPMzc2xtbWNcRNCGKYcOdQVurduBUdHuHkTataEQYO0a+YWov+e/vgH+VMsWzEmfT5J6zhCIzZmNuxst5OcmXJy7fk1Wnu3JiJKBoV90LFjcOcO2NjAlzIlc1w+9LrUyMiI9evXc+7cOUqVKsXQoUOZNm1ajH2GDh1K7ty52bNnzwcX57SysmLfvn28evWKSpUq8eWXX1K3bl3mzp2bIl9PctMpSsIm3dqwYQNdunThl19+oXLlysyaNYuNGzdy48YNHBwc6Ny5M7ly5WLKFHURogcPHlCyZEm6dOnCwIEDuXXrFt27d2fQoEF8//338bpmYGAgdnZ2BAQESJEhhAF7/Rq+/vqfN7zy5YNFi9T1L4RILRuubKDt5rYY64w5+dVJKuWqpHUkobELTy5QY3kNQiJC6O3SmwUeC2TV9bh07QorV6oLFy1enKynDg0NxdfXl/z582NhYZGs5xZJ97GfT0Jehyd4jEWbNm2YPn06Y8aMoVy5cvj4+LB3797o5pn79+/z5MmT6P2dnZ3Zt28fZ86coUyZMgwaNIjBgwczYsSIhF5aCGHgsmRRB3Hv2wd584KfH9SvD199BW/eaJ1OZARP3j6h355+AHxX8zspKgQA5Z3Ks+6LdejQ8cu5X5h5aqbWkQxPYCB4e6v3pRuUSKQEt1hoQVoshEh7goLUwdxz56rddp2cYP58aN5c62QivVIUhabrm7Lr712UdyzPqR6nMDOOu8utyJhmnpyJ535PdOjY0mYLzYs11zqS4ViyBHr2hGLF4Nq1xI9w/gBpsTBsmrVYCCFEfNjYwOzZcPQoFC0KT55AixbQpg08e6Z1OpEeLfdZzq6/d2FmbMaqFqukqBCxDKk6hL4V+6Kg0GFLB849Pqd1JMPxfu2K7t2TvagQGYcUFkKIFFWjhjod7YgR6jpLGzdCiRKwZo3akiFEcvB748eQvUMAmFBnAqVylNI2kDBIOp2O2Q1nU79gfUIiQmiyrgkPAx9qHUt7N26oq54aG0OnTlqnEWmYFBZCiBRnYaFORXv6NJQtCy9fqlPVNmkCD+V/ukgivaKn+/buvA1/SzXnanzt+rXWkYQBMzEyYeOXGymZvSRPgp7QeG1jgsIz+BR2a9aoHxs2VKf3EyKRpLAQQqSaChXgzBmYOBHMzGD3bihZUp056l8zUguRIHNPz+Ww32GsTK1Y2XwlxkbGnz5IZGh2Fnbsbr+bHNY5uPj0Iu02tyNKH6V1LG0oCqxdq95v317bLCLNk8JCCJGqTE3h++/hwgWoWlWdiKR3b6hbV50+XYiEuPniJsMPDAfUlZYL2afcSsEifcmbOS872u7AwsSCXX/v4uv9GbSl6/RpuHsXrKygaVOt04g0TgoLIYQmSpSA48dh5kz1/9mRI1C6NPz0k7qKtxCfEqmPpMu2LoRGhlKvQD36VuyrdSSRxlTJXYVVzVcB8PNfPzPv9DyNE2lg3Tr1Y/PmYG2taRSR9klhIYTQjLExDBkCly/D55/Du3fqAnvVqsHVq1qnE4buxxM/8tejv7Azt2Np06Wy4JlIlFYlWzH588kADNo7iL2392qcKBVFRcGGDer9du20zSLSBSkshBCaK1AADhxQx1rY2qot8+XLw/jxEB6udTphiC76X2TskbEAzG44G2c7Z20DiTRtRI0RdCvXDb2ip7V3ay4/vax1pNRx5Aj4+4O9vbqaqRBJJIWFEMIg6HTq2kxXr0LjxhARAV5eUKkSnD2rdTphSMIiw+i8rTMR+giaF2tOpzIyPaZIGp1Ox8LGC6mdrzZvw9/SeF1j/IP8tY6V8t4P2v7yS3VGDfFB/v7+DBw4kAIFCmBubo6zszNNmjTh4MGDWkczKFJYCCEMSu7csGOH+v8uWza4dAmqVIHhw9WuUkKM/2M8l55eIptVNn5p/It0gRLJwszYjM2tN1MkaxHuB9yn6bqmhESEaB0r5YSFwebN6n2ZDeqj/Pz8cHFx4dChQ0ybNo3Lly+zd+9e6tSpQ//+/bWOZ1CksBBCGBydTu3ue+0atG2rTkX744/qGhjHjmmdTmjp1MNTTD0xFYBfGv9CDuscGicS6Ym9pT272+8mq2VWzjw+Q+etndEr6XQu7N9+g4AAyJULatbUOo1B69evHzqdjtOnT/PFF19QpEgRSpYsiaenJ6dOnQLUVq8FCxbQsGFDLC0tKVCgAJs2bYpxngcPHtC6dWsyZ86Mvb09zZo1w8/PL8Y+fn5+6HS6WLc3b95E76PT6di2bVuM42rXrs2QIUOiH4eFhTFs2DBy5cqFtbU1VapU4ciRI8n4XYmbFBZCCIOVPbs6Ycn27ZAzJ9y6BZ99Bv37w9u3WqcTqS0kIoQu27qgV/R0KN2BlsVbah1JpEOF7Auxtc1WtQXj+ma+P/i91pFSxvtuUG3bglHqvxxUFIXg8GBNboqixDvnq1ev2Lt3L/3798c6jlmzMmfOHH1/9OjRfPHFF1y8eJEOHTrQtm1brl+/DkBERATu7u5kypSJY8eOceLECWxsbGjQoAHhcQwmPHDgAE+ePGHz+1alBBowYAAnT55k/fr1XLp0iVatWtGgQQNu3bqVqPPFl0mKnl0IIZJB06ZqQfHNN7BkCcyfD7t2qYO93d21TidSy8gDI/n75d/kzJSTOQ3naB1HpGM189ZkadOldNraiaknplI4a2G6l++udazk8/Yt7Nyp3teoG1RIRAg2U2w0uXbQyCCszeI3te7t27dRFIVixYp9ct9WrVrRo0cPACZMmMDvv//OnDlzmD9/Phs2bECv17NkyZLo7pvLly8nc+bMHDlyhPr/HzwfFhYGgKOjI46Ojtjb2yf467t//z7Lly/n/v375MyZE4Bhw4axd+9eli9fzuTJkxN8zviSFgshRJqQOTMsXqzOHpU/P9y/Dw0aQNeu8OqV1ulESjvke4jZp2cDsLTpUrJYZtE4kUjvOpbpyJjPxgDQe1dvDvke0jhRMtq2DUJDoUgRdQo+8UEJad1wdXWN9fh9i8XFixe5ffs2mTJlwsbGBhsbG+zt7QkNDeXOv1aHffnyJQC2trYfvVa7du2iz2NjY8Oxf/UTvnz5MlFRURQpUiTGPn/88UeMa6UEabEQQqQpdeuq6158/z3Mng0rV8LevWorRkvpGZMuBYYF0m17NwB6u/SmQaEGGicSGcXY2mO59eoW666s44uNX3Dyq5MUy/bpd64N3vtuUO3bq4PaNGBlakXQyCDNrh1fhQsXRqfTcePGjSRdMygoCBcXF9asWRPrc9mzZ4++f/fuXczMzKJbGj5k5syZuLm5RT/u0KFDjGsZGxtz7tw5jI2NYxxnY5OyrURSWAgh0hxra5g1C9q0ge7d4cYN+OIL9TZ3Ljg6ap1QJKehe4dyP+A++TPnZ1q9aVrHERmITqdjWbNl+L3x4+TDk3is9eCvHn+RzSqb1tES7/lz+P139b6Gi+LpdLp4d0fSkr29Pe7u7sybN49BgwbFGmfx5s2b6HEWp06donPnztGfO3XqFOX/3yJUoUIFNmzYQI4cOT7aGvHHH39QrVq1WAXBfzk6OlKoUKHox5aWltH3y5cvT1RUFM+ePaNmKg/Ml65QQog0y9UVLlxQWy+MjdWZE0uUgFWrIAGt18KA7by5k2U+y9ChY0XzFWQyz6R1JJHBWJhYsL3tdvJnzs/d13dpvr45YZFhWsdKPG9vdcVtFxe1K5T4pHnz5hEVFUXlypXZvHkzt27d4vr168yePTtG9ydvb2+WLVvG33//jZeXF6dPn2bAgAGA2qKQLVs2mjVrxrFjx/D19eXIkSMMGjSIhw8fEhUVxdGjR1m7di0tW7bE398ff39/Xv2/r++zZ8/inbdIkSJ06NCBzp07s2XLFnx9fTl9+jRTpkxh9+7dyfvN+Q8pLIQQaZqFBUycqC6iV748vH4NXbpAo0bqOAyRdr0MeUnPnT0BGFp1KJ/l/UzjRCKjym6dnd3td2NnbseJByfovqN7gvreG5R169SPsnZFvBUoUIDz589Tp04dvv76a0qVKkW9evU4ePAgCxYsiN5v3LhxrF+/njJlyrBq1SrWrVtHiRIlALCysuLo0aPkyZOHli1bUrx4cb766itCQ0OxtbXlwYMH1KpVi5CQEAYNGoSTkxNOTk588cUXABQtWjRBmZcvX07nzp35+uuvKVq0KM2bN+fMmTPkyZMn+b4xcdApaeA3IzAwEDs7OwICAj45mEUIkXFFRMCMGTB2rLr2k40N/PAD9OmjyWyKIonabGrDxqsbKZ6tOOd7n8fCxELrSCKDO3j3IA3WNCBSH8nYWmPxqu2ldaSEuXcP8uVTx1U8eKCuYZFKQkND8fX1JX/+/FhYpL/fZZ1Ox9atW2nevHmijvfz86N27dqx1rV4L3PmzDHWskhuH/v5JOR1uPyrFUKkG6amMGIE+PhA9eoQFKSueVGnjroGhkg71l9Zz8arGzHWGbOqxSopKoRBqFugLvMbzQdg7B9jWXMp9kBcg7Z+vfqxVq1ULSrEpxkbG8cYxP1fDg4OqZgm8aSwEEKkO8WKwdGj6qxR1tbq/TJlYNo0iIzUOp34lCdvn9Bvdz8Avq/5PRVzVtQ4kRD/6OnSk2+qfQNA9x3dOX7/uMaJEkC6QRksZ2dnzpw588HP37x5MxXTJJ4UFkKIdMnICAYOhCtXwM1NnbL922/VAd+XL2udTnyIoij02NmD16GvKe9YnlGfjdI6khCxTHWbSsviLQmPCqf5+ubceZWyawMki8uX4eJFtWn3//32RfJRFCXR3aDSEykshBDpWr58sH8/LF0KdnbqIO8KFcDLC8LDtU4n/mvZhWXsubUHM2MzVrVYhamxqdaRhIjFSGfEry1+pWLOirx89xKPtR68fvda61gft3Kl+rFxY0jEas5CxIcUFkKIdE+nU9e7uHYNmjdXu0ONH68WGKdPa51OvOf3xo8h+4YAMLHORErlKKVtICE+wsrUih1td+Bs68zNlzf5YuMXhEcZ6LsVkZGwerV6v0sXbbOIdE0KCyFEhpEzJ2zZAhs2QPbscPWq2jVq2DAICdE6XcamV/R0296NoPAgqjtXx9PVU+tIQnySUyYndrXfhY2ZDYf9DtN3V1/DnIZ2/354+hSyZYOGDbVOI9IxKSyEEBmKTgetW6utFx06gF6vTlFbtiz88YfW6TKuOX/N4YjfEaxMrVjRfAXGRh9fdVYIQ1HGoQwbvtyAkc6IZT7L+OHED1pHim3FCvVjhw5gZqZpFJG+SWEhhMiQsmVTewbs2qXOunj7NtSuDX37QmCg1ukylhsvbjDi4AgAptebTiH7QhonEiJhGhVuxOwGswEYeXAkm65t0jjRv7x+Ddu3q/elG5RIYVJYCCEyNA8PtUtU797q44ULoWRJ2LNH21wZRaQ+ki7buhAaGUq9AvXoU7GP1pGESJT+lfszqPIgADpt7cTpRwYygGvDBnWmitKloVw5rdOIdE4KCyFEhmdnpxYUhw5BwYLw8KFacHTqBC9fap0uffvh+A+cfnQaO3M7ljVbhk6n0zqSEIn2k/tPeBT2IDQylKbrmnLvzT2tI/0zG1SXLmpfUCFSkBQWQgjxf3XqwKVL4OmproOxejUULw4bN4IhjsdM63z8fRj3xzgA5jScQ27b3BonEiJpjI2MWffFOso4lOFp8FMar2tMYJiGfStv3oRTp8DYWB1fIRKsa9eu6HQ6+vSJ3Zrav39/dDodXbt2Tf1gBipRhcW8efPIly8fFhYWVKlShdPxnK9x/fr16HQ6WUBECGGwrKzUwdx//ql2iXr+HNq0gZYt4ckTrdOlH2GRYXTe2pkIfQTNizWnY5mOWkcSIllkMs/Erna7cLJx4sqzK7TZ1IZIfaQ2Yd63VjRoAI6O2mRIB5ydnVm/fj3v3r2L3hYaGsratWvJkyePhskMT4ILiw0bNuDp6YmXlxfnz5+nbNmyuLu78+zZs48e5+fnx7Bhw6hZs2aiwwohRGqpUgXOnYMxY8DEBLZtgxIlYPlyab1IDuP+GMflZ5fJbpWdXxr/Il2gRLribOfMznY7sTK1Yu/tvQz+bXDqT0MbFQW//qrel0HbSVKhQgWcnZ3ZsmVL9LYtW7aQJ08eypcvH72tdu3aDBkyJMaxY8eOpdy/xrbo9XrGjx9P7ty5MTc3p1y5cuzduzf6835+fuh0uli3Xbt2ARAWFsagQYPIkSMHFhYW1KhRgzNnzqTMF54ICS4sfvrpJ3r27Em3bt0oUaIECxcuxMrKimXLln3wmKioKDp06MC4ceMoUKBAkgILIURqMTeHcePUAsPFBd68URfaa9AA/Py0Tpd2nXxwMnpKzoWNF5LDOofGiYRIfi45XVjTcg06dMw/O5/Zf81O3QCHD6sDxjJnhiZNUvfa8aEoEByszS0RRV737t1Zvnx59ONly5bRrVu3BJ/n559/ZsaMGUyfPp1Lly7h7u5O06ZNuXXrVoz9Dhw4wJMnT6Jv9erVA+Dbb79l8+bNrFy5kvPnz1OoUCHc3d159epVgrOkhAQVFuHh4Zw7dw43N7d/TmBkhJubGydPnvzgcePHjydHjhx89dVXiU8qhBAaKVNG7ab8ww9gYaGuNVWqFMydq66DIeIvJCKELtu6oFf0dCzTkZbFW2odSYgU07xYc36s9yMAQ/cNZefNnal38ffdoNq1U/9wGZqQELCx0eaWiBVRO3bsyPHjx7l37x737t3jxIkTdOyY8C6c06dPZ/jw4bRt25aiRYvyww8/UK5cOWbNmhVjv6xZs+Lo6Bh9Mzc3Jzg4mAULFjBt2jQaNmxIiRIlWLx4MZaWlixdujTBWVJCggqLFy9eEBUVhYODQ4ztDg4O+Pv7x3nM8ePHWbp0KYsXL473dcLCwggMDIxxE0IILZmYwLffwsWLULOm+qbXwIHw2Wfq+EgRPyMOjODWq1vkypQret5/IdKzr12/pmeFnigotNvcDh9/n5S/aGAgbN6s3pduUMkie/bseHh4sGLFCpYvX46HhwfZsmWLtd/8+fOxsbGJvk2ePDn6c4GBgTx+/Jjq1avHOKZ69epcv379kxnu3LlDREREjONNTU2pXLlyvI5PDSk6K9Tbt2/p1KkTixcvjvOb/yFTpkzBzs4u+ubs7JyCKYUQIv6KFIEjR2DePPWNrxMn1FW7p06FSI3GZ6YVB+8eZM7pOQAsbbqULJZZNE4kRMrT6XTMazQPtwJuBEcE03htYx6/fZyyF920Cd69g6JFoXLllL1WYllZQVCQNjcrq0RF7t69OytWrGDlypV07949zn06dOiAj49P9C2u2aTSswQVFtmyZcPY2JinT5/G2P706VMc45ht4M6dO/j5+dGkSRNMTEwwMTFh1apV7NixAxMTE+7cuRPndUaOHElAQED07cGDBwmJKYQQKcrICPr1gytXwN0dwsJg5Ej1/7ePj9bpDFNAaADdd6j/iPu49MG9kLvGiYRIPabGpni38qZ4tuI8evuIJuuaEBwenHIXTAtrV+h0YG2tzS2R35MGDRoQHh5OREQE7u5x/w2zs7OjUKFC0Td7e/voz9na2pIzZ05OnDgR45gTJ05QokSJT16/YMGCmJmZxTg+IiKCM2fOxOv41JCgwsLMzAwXFxcOHjwYvU2v13Pw4EFcXV1j7V+sWDEuX74co3Jr2rQpderUwcfH54MtEebm5tja2sa4CSGEocmbF377Tf0fniULXLgAlSrBqFFqsSH+MXTfUO4H3KdAlgJMqz9N6zhCpLrMFpnZ3X432a2yc/7JeTps6UCUPir5L3T3Lhw9qr547tQp+c+fgRkbG3P9+nWuXbuGsbFxos7xzTff8MMPP7BhwwZu3rzJiBEj8PHxYfDgwZ881tramr59+/LNN9+wd+9erl27Rs+ePQkJCTGYccwmCT3A09OTLl26ULFiRSpXrsysWbMIDg6OHhnfuXNncuXKxZQpU7CwsKBUqVIxjs+cOTNArO1CCJEW6XTQuTPUrw8DBqjdmidNgi1bYOlSiOM9lwxn582dLPdZjg4dK5qtwMbMRutIQmgif5b8bGu7jc9Xfs72m9sZfmA40+tPT96LrFqlfnRzg9yy6GRyS+qb3YMGDSIgIICvv/6aZ8+eUaJECXbs2EHhwoXjdfzUqVPR6/V06tSJt2/fUrFiRfbt20eWLIbRtVSnJGJi5blz5zJt2jT8/f0pV64cs2fPpkqVKoA6h2++fPlYsWJFnMd27dqVN2/esG3btnhfLzAwEDs7OwICAqT1Qghh0DZvhv794elTtegYNEgtNKyttU6mjRchLyg1vxRPg58yzHWYtFYIAay/sp52m9sBsNBjIb0r9k6eE0dFQaFC6nzYq1cb1GrboaGh+Pr6kj9/fiwMcZaqDO5jP5+EvA5PVGGR2qSwEEKkJa9ewdCh/7xxmD8/LFkCn3+uba7UpigKbTa1wfuaNyWyl+Bcr3NYmMgLCiEAJh6dyOjDozHWGbOnwx7qF6yf9JPu2qWuWZElCzx6BJaWST9nMpHCwrAlV2GRorNCCSFERmRvr4672LMHnJ3B1xfq1oWePSEgQOt0qWf9lfV4X/PGxMiEVc1XSVEhxL98X/N7OpXpRJQSRSvvVlx7fi3pJ50/X/3YvbtBFRUi45DCQgghUkjDhurMUf36qY+XLIESJWBnKq6RpZXHbx/Tf09/AEbVHIVLTheNEwlhWHQ6HYubLKZmnpoEhgXisdaDp0FPP33gh9y5A3v3qvf79k2ekEIkkBQWQgiRgmxt1TUv/vhD7fr8+DE0bQrt28Pz51qnSxmKotBjRw9eh77GxcmF72p+p3UkIQySuYk5W9tspZB9Ifze+NF8Q3PeRbxL3MkWLgRFgQYNoGDB5A0qRDxJYSGEEKngs8/g0iX45ht1HYx169TWi3Xr1NcC6cmS80v47fZvmBubs7L5SkyNTbWOJITBymqVld3td5PFIgunHp6i6/au6BV9wk7y7h0sW6bef99EKoQGpLAQQohUYmkJP/4Ip05B6dLw4oXactG8uTrOMj3wfe2L535PACZ+PpGSOUpqnEgIw1ckaxG2ttmKqZEpG69uZMzhMQk7wcaN6qwRefNCo0YpEzKZpIE5gzKk5Pq5SGEhhBCprFIlOHsWxo0DU1PYsQNKllTHYKTl/7l6RU+37d0ICg+iZp6aDK06VOtIQqQZtfLVYlGTRQBMOjaJlT4r43/wvHnqxz59IJELt6W09wvKhYeHa5xExCUkJAQAU9OktTDLdLNCCKGhK1fgq6/g9Gn1cd26sGgRFCigba7EmHVqFkP3DcXa1JqLfS5S0F76eQuRUN8f/J7JxydjamTK/k77qZ2v9scPOHMGKlcGMzN4+BCyZ0+VnAmlKAr3798nIiKCnDlzYmQk720bAkVRCAkJ4dmzZ2TOnBknJ6dY+8g6FkIIkYZERcGsWTBqFISGgpWVuqjewIEG++ZjLDde3KD8L+UJjQxlgccC+lTso3UkIdIkvaKn7aa2eF/zVsdd9DhFkaxFPnxAt26wYgV07Ai//ppqORMjPDwcX19f9PoEjiERKS5z5sw4Ojqi0+lifU4KCyGESINu34YePdQZpABcXWHpUiheXNtcnxKpj6Ta0mqceXwG94Lu/Nbhtzj/OQkh4uddxDvqrKzDX4/+opB9IU59dYqsVllj7/jyJeTOrb4j8eef6h8NA6fX66U7lIExNTWN7qoWl4S8DjdJ7nBCCCESp1AhOHQIFi9WZ486eRLKlYMxY+Dbb9XxGIZo6vGpnHl8hswWmVnadKkUFUIkkaWpJdvbbqfKkircfnWbFhta8Hun3zE3MY+544oValFRrhxUrapF1AQzMjKSlbfTMengJoQQBsTICHr3hqtX1cldwsPVLlKVK8OFC1qni83H34dxf4wDYE7DOeSyzaVxIiHSBwcbB3a3342tuS3H7h+j586eMWfu0ethwQL1fv/+IAW9MABSWAghhAFydoZdu9Qu0/b24OOjzib13XfqG5SGICwyjE5bOxGpj6Rl8ZZ0KN1B60hCpCslc5TEu5U3xjpjfr30K5OOTfrnk/v3q6tt29lBu3bahRTiX6SwEEIIA6XTqeMxr1+H1q3VQd5Tpqi9Hk6c0DodjD0ylivPrpDdKjsLPRZKFyghUkD9gvWZ10idTnb04dGsu7xO/cT8+erHrl3B2lqbcEL8hxQWQghh4HLkgA0bYOtWcHSEmzehZk0YNAiCgrTJdPLBSX7880cAFjVZRHZrw5ziUoj0oHfF3nhWVRee7La9G+f+3Kw2aQL07athMiFiksJCCCHSiObN4do1dXZJRYE5c6BUKfj999TNERweTOdtndErejqV6UTzYs1TN4AQGdCP9X6kadGmhEWF8ef3ndQ/Am5uULSo1tGEiCaFhRBCpCFZssCyZbBvH+TNC/fuQf360L07vH6dOhlGHBjB7Ve3yW2bm9kNZ6fORYXI4IyNjFnbci017crQ+eQ7AIJ6ddM4lRAxSWEhhBBpUP366qrdAweqYzGWL4cSJWDbtpS97sG7B5l7Zi4Ay5ouI7NF5pS9oBAimrWZNTsDPLALg6vZoWXIMiKiIrSOJUQ0KSyEECKNsrGB2bPh6FG1N4S/P7RoAW3awLNnyX+9gNAAum1X3yHtV7Ef9QrWS/6LCCE+7N077BYsA2BWLTN+9ztI/z39SQNrHYsMQgoLIYRI42rUUKejHTECjI1h40a19WLNGrUbdnIZsm8IDwIfUDBLQX6s92PynVgIET8rV8LTp5AnD83HbsBIZ8Ti84uZcXKG1smEAKSwEEKIdMHCQp2K9q+/oGxZePlSnaq2SRN48CDp599xcwcrfFagQ8fK5iuxNpPpLYVIVZGR8OP/C/phw/Ao2Zyf6v8EwLe/f8vW61s1DCeESgoLIYRIR1xc4MwZmDABzMxg924oWRJ++UVdqDcxXoS8oOfOngAMqzaM6nmqJ2NiIUS8eHuDry9kywZffQXAoCqD6FexHwoKHbZ04NzjcxqHFBmdFBZCCJHOmJrCqFFw4QJUrQpv30KfPlC3rrpQb0IoikLf3X15FvyMktlLMr7O+JQJLYT4MEWBqVPV+4MHg5UVADqdjp8b/kyDQg14F/mOJuua8CAgGZoohUgkKSyEECKdKlECjh+HmTPV1yFHjkDp0vDTT+oq3vGx7so6Nl3bhImRCatarMLCxCJFMwsh4vDbb3DpkjpjQ//+MT5lYmTChi83UCpHKZ4EPaHJuia8DXurUVCR0UlhIYQQ6ZixMQwZApcvw+efw7t38PXXUK0aXL368WMfv33MgD0DABj92WgqOFVI+cBCiNimTFE/9umjLmbzH7bmtuxqtwsHawcuPr1Iu83tiNRHpnJIIaSwEEKIDKFAAThwABYvBltbOH0aypeH8eMhPDz2/oqi8NWOr3gd+hoXJxdG1hiZ+qGFEGqz4/Hj6qCpoUM/uFvezHnZ0W4HFiYW7L61m6/3fZ2KIYVQSWEhhBAZhE4HPXrAtWvqbFEREeDlBRUrwtmzMfddcn4Je2/vxdzYnFUtVmFqbKpNaCEyuvdjK7p0gZw5P7pr5VyV+bXFrwDMPj2buafnpnQ6IWKQwkIIITKYXLlg+3ZYt06dYObyZahSBb79Vu0q5fvaF8/9ngBMrjuZEtlLaJxYiAzq0iV1ajcjI/jmm3gd8mWJL5lSV+06NXjvYPbc2pOSCYWIQQoLIYTIgHQ6aNtWbb1o106dinbaNChTVk+LVV0JCg/is7yfMaTqEK2jCpFx/fCD+vHLL6Fw4XgfNrz6cLqX645e0dNmUxsuPb2UQgGFiEkKCyGEyMCyZ4e1a2HHDrWXxe2sP3PxzVFM9NbMqbscI538mxBCE3fvwvr16v0RIxJ0qE6nY0HjBdTJV4eg8CAar23Mk7dPUiCkEDHJfwwhhBA0aQJbjl3H2F0dpB25+yea1CjAvn0aBxMioxo3Tm1KdHdXZ1pIIDNjMza33kzRrEV5EPiApuubEhIRkgJBhfiHFBZCCCGI1Ecy4GBnonRhVMrSgHyvenL/PjRoAF27wqtXWicUIgO5eBF+VQdhM2FCok+TxTILu9vvJqtlVs4+PkunrZ3QK/pkCilEbIkqLObNm0e+fPmwsLCgSpUqnD59+oP7Ll68mJo1a5IlSxayZMmCm5vbR/cXQgiR+qYcm8LZx2fJbJGZrV2XcOWyjiFD1LEYK1eqi+1t3qx1SiEyiBEj1NW2W7eGSpWSdKqC9gXZ1nYbZsZmbLm+hREHEtatSoiESHBhsWHDBjw9PfHy8uL8+fOULVsWd3d3nj17Fuf+R44coV27dhw+fJiTJ0/i7OxM/fr1efToUZLDCyGESLrzT84z/uh4AOY1mkcu21xYW6srdp84AcWLw9On6vjRL78Ef3+NAwuRnh06BHv3gokJTJqULKeskacGy5ouA2Dan9NYcn5JspxXiP/SKYqiJOSAKlWqUKlSJebOVedG1uv1ODs7M3DgQEbEY3BRVFQUWbJkYe7cuXTu3Dle1wwMDMTOzo6AgABsbW0TElcIIcRHhEWGUXFxRa48u8IXxb/Au5U3Op0uxj6hoTBxojqdflSUuvDvzJnQubPaoiGESCZ6vTr389mzMGAAzJmTrKcfe2Qs4/4Yh4mRCXs77KVugbrJen6RPiXkdXiCWizCw8M5d+4cbm5u/5zAyAg3NzdOnjwZr3OEhIQQERGBvb39B/cJCwsjMDAwxk0IIUTyG3N4DFeeXSGHdQ4WeCyIVVQAWFiohcXZs+oY0tev1XEXjRrB/fupn1mIdMvbW/1Fs7GB0aOT/fRetbxoX7o9kfpIvtj4BdefX0/2a4iMLUGFxYsXL4iKisLBwSHGdgcHB/zj2TY+fPhwcubMGaM4+a8pU6ZgZ2cXfXN2dk5ITCGEEPHw54M/mfbnNAAWNV5EduvsH92/XDn46y+YMgXMzdXeGiVLwvz56hutQogkCA+H775T73/7LeTIkeyX0Ol0LG26lOrO1QkIC8BjrQfPg58n+3VExpWqs0JNnTqV9evXs3XrViwsLD6438iRIwkICIi+PXjwIBVTCiFE+hccHkznrZ1RUOhStgvNijWL13Gmpuq4Uh8fqF4dgoKgf3+oUwdu3UrZzEKka7/8oq5d4eAAQ4em2GUsTCzY2mYrBbIUwPeNL803NCc0MjTFricylgQVFtmyZcPY2JinT5/G2P706VMcHR0/euz06dOZOnUq+/fvp0yZMh/d19zcHFtb2xg3IYQQyefb37/lzus75LbNzawGsxJ8fLFicPQozJ4N1tbq/TJl1NW7IyOTP68Q6VpgIIxXJ1Bg7Fi1K1QKym6dnd3td2NnbsefD/6k+/buJHDIrRBxSlBhYWZmhouLCwcPHozeptfrOXjwIK6urh887scff2TChAns3buXihUrJj6tEEKIJPv9zu/MPzsfgOXNlpPZInOizmNkBAMHwpUrUK+eOsj722/B1RUuX07GwEKkd9Onw4sXUKQIfPVVqlyyWLZibGmzBRMjE9ZdWcfYI2NT5boifUtwVyhPT08WL17MypUruX79On379iU4OJhu3boB0LlzZ0aOHBm9/w8//MDo0aNZtmwZ+fLlw9/fH39/f4KCgpLvqxBCCBEvb0Lf0H1HdwD6V+qPW4EPj3eLr3z5YN8+WLYMMmdWx55WqABeXmq3cSHERzx5AjNmqPenTFH7G6aSz/N/zkKPhQCMPzqe1ZdWp9q1RfqU4MKiTZs2TJ8+nTFjxlCuXDl8fHzYu3dv9IDu+/fv8+TJk+j9FyxYQHh4OF9++SVOTk7Rt+nTpyffVyGEECJeBu8dzMPAhxSyL8QPbj8k23l1OujWDa5dgxYt1O5Q48erBYasiSrER4wbByEhalNfixapfvmvKnzF8OrD1fs7vuLYvWOpnkGkHwlex0ILso6FEEIk3bYb22ixoQVGOiOOdTtGNedqKXIdRYFNm9Rp+J89U7tMDR2qFhpWVilySSHSpitX1OnWoqLg2DGoUUOTGHpFT2vv1my+vpmsllk51eMUhewLaZJFGJ4UW8dCCCFE2vQ8+Dm9d/UGYJjrsBQrKkBtvWjVSm296NhRnYp2xgx1cPeRIyl2WSHSlqgo6NFD/diypWZFBYCRzohVLVZRKWclXr57icdaD169e6VZHpF2SWEhhBDpnKIo9N3dl2fBzyiZvSTj64xPletmzQq//gq7d0Pu3HDnjjotbZ8+6iQ4QmRo8+apC8PY2ib7CtuJYWVqxY52O8hjl4e/X/7NFxu/IDxKBkmJhJHCQggh0rm1l9ey+fpmTIxMWNViFeYm5ql6/UaN4OpVtaAAdbr+kiVhz55UjSGE4bh375/F8H78EXLm1DbP/znaOLKr3S4ymWXiiN8R+uzqI9PQigSRwkIIIdKxR4GPGPDbAADGfDaGCk4VNMlhawsLFqhdoQoVgocPwcND7Sr18qUmkYTQhqJA374QHAw1a0LPnloniqG0Q2k2fLkBI50Ry32WM/X4VK0jiTRECgshhEinFEWhx84evAl9Q8WcFRlRY4TWkahVCy5ehGHD1EHda9ZA8eKwcaP6ekuIdG/dOvjtNzAzg8WL1V8EA9OwcEPmNFS7Z3136Du8r3prnEikFYb3bBZCCJEsFp9fzN7bezE3NmdV81WYGqfe/PgfY2WlrtB98iSUKgXPn0ObNur41X/NVi5E+vPiBQwerN4fPRqKFtU2z0f0q9SPwVXUrJ23deavh39pnEikBVJYCCFEOnT39V0893kCMKXuFIpnL65xotgqV4Zz59SF9ExMYNs2KFECli+X1guRTnl6qsVFqVLqMvUGbkb9GXgU9iA0MpSm65vi98ZP60jCwElhIYQQ6Yxe0dN1W1eCI4KplbcWg6sO1jrSB5mZwdixcP48VKwIb95A9+7g7g5+fhqHEyI57dunTpOm08GSJeqT38AZGxmz/sv1lHMsx7PgZzRe25iA0ACtYwkDJoWFEEKkM7NOzeLY/WPYmNmwvNlyjHSG/6e+dGm1a9S0aWBhAb//rr6pO2eOug6GEGlacPA/06INGgRVqmibJwFszGzY2W4nTjZOXH1+lTab2hCpj9Q6ljBQhv/fRgghRLxde36N7w6q01j+VP8n8mfJr3Gi+DMxUQd1X7oEn32mvhYbNEi9f/Om1umESILRo9UmuDx5YOJErdMkWG7b3OxstxMrUyv23dnHwD0DZRpaEScpLIQQIp2IiIqgy7YuhEWF0bBQQ3pU6KF1pEQpXBgOH4b588HGBk6cgLJlYepUiJQ3SkVas3s3zJyp3l+4UH1Sp0EuOV1Y03INOnQsPLeQn//6WetIwgBJYSGEEOnElONTOPv4LFkssrCk6RJ0Op3WkRLNyEid6v/qVWjQAMLCYORItQeJj4/W6YSIp7t31cVaAPr1g4YNtc2TRM2LNWdavWkAeO7zZOfNnRonEoZGCgshhEgHzj85z4SjEwCY12geOTMZxkq+SZUnj7pC96pVYG+vDvKuVAlGjYLQUK3TCfERISHqHMpv3kDVqv+0WqRxnq6e9KrQCwWFdpvbceHJBa0jCQMihYUQQqRxoZGhdN7amUh9JK1KtKJtqbZaR0pWOh106gTXrsGXX6rdoSZNgvLl1QHfQhic96trX7wI2bODt3eamAUqPnQ6HXMbzcWtgBvBEcE0XteYR4GPtI4lDIQUFkIIkcaNOTyGq8+v4mDtwHyP+Wm6C9THODior882b1bv37gB1avDkCHqQG8hDMYvv6jNbEZGsGED5M6tdaJkZWpsincrb0pkL8Hjt49psq4JQeFBWscSBkAKCyGESMNO3D/B9D+nA7CoySKyWWXTOFHKa9lSbb3o2lV9Y/jnn9WpaQ8c0DqZEMBff6nTmYE640CdOtrmSSGZLTKzq90usltl54L/BTps6UCUPkrrWEJjUlgIIUQaFRQeRJdtXVBQ6FquK02LNtU6Uqqxt1dX6N67Vx2H4ecH9epBjx5ql3YhNPHsmdpfLyJCrYCHDdM6UYrKnyU/29tux9zYnB03d/Dt74a/mrhIWVJYCCFEGvXt799y5/UdnG2dmeU+S+s4mnB3hytXoH9/9fHSpVCyJOzYoW0ukQFFRkLbtvDwIRQpola+6bRb4r+5OruysvlKAH469RMLzy7UOJHQkhQWQgiRBu2/s58FZxcAsLzZcuws7DROpJ1MmWDuXDh6VF0D4/FjaNYM2rWD58+1TicyBEVRWycOHwZra9iyBWxttU6VatqUasOEOuqsdAP2DGDf7X0aJxJakcJCCCHSmDehb+i+vTsAAyoNoG6BuhonMgw1a6qT8Hz7rTpmdv16KF4c1q5VX/cJkSIUBYYPVwf7wD/NZhnM9zW/p3PZzkQpUbTe1Jorz65oHUloQAoLIYRIYwb9NohHbx9RyL4QU92mah3HoFhawg8/qONny5SBly+hQwdo2hQeyYyYIrm9LyqmqYvGMW8etGmjbSaN6HQ6FjVexGd5PyMwLJDGaxvzNOip1rFEKpPCQggh0pCt17fy66VfMdIZsbL5SqzNrLWOZJAqVoQzZ2D8eDA1hV27oEQJWLxYWi9EMomrqOjXT9tMGjM3MWdL6y0Uti/MvYB7NFvfjHcR77SOJVKRFBZCCJFGPAt+Ru9dvQH4pto3VHOupnEiw2ZmBqNHw4ULUKUKBAZCr17g5gZ372qdTqRpUlR8UFarrOxuvxt7S3v+evQXXbZ1Qa/otY4lUokUFkIIkQYoikKfXX14HvKcUjlKMa72OK0jpRklS8KJEzBjhtpV6tAhKF0aZs2CKJl2XySUFBWfVDhrYba03oKpkSne17wZfWi01pFEKpHCQggh0oA1l9ew9cZWTIxMWNV8FeYm5lpHSlOMjcHTEy5dgtq1ISQEhg6FGjXUxfaEiBcpKuKtVr5aLG6yGIDJxyezwmeFtoFEqpDCQgghDNzDwIcM2DMAAK9aXpR3Kq9xorSrUCE4eBB++UWdpvbUKShfHiZOVNc0E+KDAgOhUycpKhKgS7kufF/zewB67ezFEb8j2gYSKU4KCyGEMGCKovDVjq8ICAugUs5KjKgxQutIaZ6RkTrW4to18PCA8HB1LEalSnD+vNbphEE6dQrKlYM1a9Qn0IIFUlTE0/g642lTsg0R+ghabmjJzRc3tY4kUpAUFkIIYcB+OfcL++/sx8LEglUtVmFiZKJ1pHQjd27YuVN9rZg1q7oGRuXKMGIEvJOJbASog3AmTlT7zPn6Qt686kqMffponSzNMNIZsbzZcqrmrsrr0Nd4rPXgRcgLrWOJFCKFhRBCGKg7r+4wbP8wAKbUnUKxbMU0TpT+6HTQvr3aetGmjfo68ocf1Denjx/XOp3Q1IMH8PnnanNWVBS0bQs+PlC9utbJ0hxLU0u2tdlGvsz5uPP6Di03tCQsMkzrWCIFSGEhhBAGKEofRdftXQmOCKZW3loMqjJI60jpWo4c6krd27aBkxP8/Td89hkMHAhBQVqnE6lKUcDbW11h8ehRsLGBlSvVJdwzZ9Y6XZrlYOPA7va7sTW35dj9Y7Td3JY3oW+0jiWSWaIKi3nz5pEvXz4sLCyoUqUKp0+f/uj+3t7eFCtWDAsLC0qXLs2ePXsSFVYIITICRVGY9uc0jt8/jo2ZDcubLcdIJ+8DpYZmzdTWi+7d1deXc+dCqVKwf7/WyUSKCw2FFSugQgVo3RrevFEH3ly4AJ07q81bIklKZC/BplabMDEyYduNbZSaX4r9d+SXKz1J8H+qDRs24OnpiZeXF+fPn6ds2bK4u7vz7NmzOPf/888/adeuHV999RUXLlygefPmNG/enCtXriQ5vBBCpCdR+ii2XN+C61JXRh4cCcBM95nkz5Jf42QZS+bMsHSpWkzkywf37oG7u1psvH6tdTqR7Pz9YexYdfxEt25qdydLSxg1Sl0ApVAhrROmK/UK1uOPrn9QyL4Qj94+wn21O3139SUoXJoG0wOdoihKQg6oUqUKlSpVYu7cuQDo9XqcnZ0ZOHAgI0bEnq2kTZs2BAcHs2vXruhtVatWpVy5cixcuDBe1wwMDMTOzo6AgABsbW0TElcIIQxeWGQYqy6uYvrJ6fz98m8AzI3NGVJ1CFPqTkEn75RqJigIvv8e5sxRWzAcHaFvX/WN7EqVIFs2rROKRHnxAq5cUVso1q1TpwYDdUT/wIHQowfY22saMb0LDg9m5MGRzDk9B4D8mfOzovkKPsv7mcbJxH8l5HV4ggqL8PBwrKys2LRpE82bN4/e3qVLF968ecP27dtjHZMnTx48PT0ZMmRI9DYvLy+2bdvGxYsX43VdQygs/j68idBXcbfKCCFEYl16ehnvaxt5GfIKgEzmNrQs1pIvin+BvZW8sDEUly7B1Klw/0HM7U6OUKyYeitcGCwstMknPszk7Wss793A8v5NLO/fwOr+DUwDXsbYJ7CUK49bDeHlZy1QTEw1SpoxnXt1iKnXu+Mfeg8dOlo5D6FWjpZaxzIo5QvkwbVEHs2un5DX4Qmat/DFixdERUXh4OAQY7uDgwM3btyI8xh/f/849/f39//gdcLCwggL+2e2gMDAwITETBHven9F2Vva5xBCpC9lgI4xtgQBq/5/E4aiDLA2rk/4//92JDXTiOTgR16OU4M5DOT0lSogPbQ18jmYX4L6X6O4LGHjg5lsfDBT61AGpe75CRwYM0rrGPFikBOiT5kyhXHjxmkdI4bgHJnxfSMTmwshkpexkTF25nbYmmdCh3R5Skui9BAWCqFh6rjf8HC1u5TQhvKB3593Rtb4mhblrlkxfM3+/9G0CKFGVtH7FE6tkOIDbOHGYoIDW/Cy9Dj0ZjKY6d+y5Uw7rdcJKiyyZcuGsbExT58+jbH96dOnODo6xnmMo6NjgvYHGDlyJJ6entGPAwMDcXZ2TkjUZFft+D1Nry+EEMKwGANW/78Jw1ZS6wAinhr9/ybSqgTNCmVmZoaLiwsHDx6M3qbX6zl48CCurq5xHuPq6hpjf4Dff//9g/sDmJubY2trG+MmhBBCCCGEMFwJ7grl6elJly5dqFixIpUrV2bWrFkEBwfTrVs3ADp37kyuXLmYMmUKAIMHD6ZWrVrMmDEDDw8P1q9fz9mzZ1m0aFHyfiVCCCGEEEIIzSS4sGjTpg3Pnz9nzJgx+Pv7U65cOfbu3Rs9QPv+/fsYGf3TEFKtWjXWrl3LqFGj+O677yhcuDDbtm2jVKlSyfdVCCGEEEIIITSV4HUstGAI080KIYQQQgiR0STkdXiCV94WQgghhBBCiP+SwkIIIYQQQgiRZFJYCCGEEEIIIZLMIBfI+6/3w0AMYQVuIYQQQgghMor3r7/jMyw7TRQWb9++BdB8kTwhhBBCCCEyordv32JnZ/fRfdLErFB6vZ7Hjx+TKVMmdDqdJhner/794MEDmZlKxJs8b0RCyXNGJJQ8Z0RCyXNGJISiKLx9+5acOXPGWFIiLmmixcLIyIjcuXNrHQNAVgIXiSLPG5FQ8pwRCSXPGZFQ8pwR8fWplor3ZPC2EEIIIYQQIsmksBBCCCGEEEIkmRQW8WRubo6Xlxfm5uZaRxFpiDxvRELJc0YklDxnRELJc0aklDQxeFsIIYQQQghh2KTFQgghhBBCCJFkUlgIIYQQQgghkkwKCyGEEEIIIUSSSWEhhBBCCCGESDIpLP5l3rx55MuXDwsLC6pUqcLp06c/ur+3tzfFihXDwsKC0qVLs2fPnlRKKgxJQp43ixcvpmbNmmTJkoUsWbLg5ub2yeeZSH8S+rfmvfXr16PT6WjevHnKBhQGJ6HPmTdv3tC/f3+cnJwwNzenSJEi8j8qg0noc2bWrFkULVoUS0tLnJ2dGTp0KKGhoamUVqQbilAURVHWr1+vmJmZKcuWLVOuXr2q9OzZU8mcObPy9OnTOPc/ceKEYmxsrPz444/KtWvXlFGjRimmpqbK5cuXUzm50FJCnzft27dX5s2bp1y4cEG5fv260rVrV8XOzk55+PBhKicXWknoc+Y9X19fJVeuXErNmjWVZs2apU5YYRAS+pwJCwtTKlasqDRq1Eg5fvy44uvrqxw5ckTx8fFJ5eRCKwl9zqxZs0YxNzdX1qxZo/j6+ir79u1TnJyclKFDh6ZycpHWSWHxf5UrV1b69+8f/TgqKkrJmTOnMmXKlDj3b926teLh4RFjW5UqVZTevXunaE5hWBL6vPmvyMhIJVOmTMrKlStTKqIwMIl5zkRGRirVqlVTlixZonTp0kUKiwwmoc+ZBQsWKAUKFFDCw8NTK6IwMAl9zvTv31/5/PPPY2zz9PRUqlevnqI5RfojXaGA8PBwzp07h5ubW/Q2IyMj3NzcOHnyZJzHnDx5Msb+AO7u7h/cX6Q/iXne/FdISAgRERHY29unVExhQBL7nBk/fjw5cuTgq6++So2YwoAk5jmzY8cOXF1d6d+/Pw4ODpQqVYrJkycTFRWVWrGFhhLznKlWrRrnzp2L7i519+5d9uzZQ6NGjVIls0g/TLQOYAhevHhBVFQUDg4OMbY7ODhw48aNOI/x9/ePc39/f/8UyykMS2KeN/81fPhwcubMGatIFelTYp4zx48fZ+nSpfj4+KRCQmFoEvOcuXv3LocOHaJDhw7s2bOH27dv069fPyIiIvDy8kqN2EJDiXnOtG/fnhcvXlCjRg0URSEyMpI+ffrw3XffpUZkkY5Ii4UQGpk6dSrr169n69atWFhYaB1HGKC3b9/SqVMnFi9eTLZs2bSOI9IIvV5Pjhw5WLRoES4uLrRp04bvv/+ehQsXah1NGKgjR44wefJk5s+fz/nz59myZQu7d+9mwoQJWkcTaYy0WADZsmXD2NiYp0+fxtj+9OlTHB0d4zzG0dExQfuL9Ccxz5v3pk+fztSpUzlw4ABlypRJyZjCgCT0OXPnzh38/Pxo0qRJ9Da9Xg+AiYkJN2/epGDBgikbWmgqMX9nnJycMDU1xdjYOHpb8eLF8ff3Jzw8HDMzsxTNLLSVmOfM6NGj6dSpEz169ACgdOnSBAcH06tXL77//nuMjOR9aBE/8kwBzMzMcHFx4eDBg9Hb9Ho9Bw8exNXVNc5jXF1dY+wP8Pvvv39wf5H+JOZ5A/Djjz8yYcIE9u7dS8WKFVMjqjAQCX3OFCtWjMuXL+Pj4xN9a9q0KXXq1MHHxwdnZ+fUjC80kJi/M9WrV+f27dvRRSjA33//jZOTkxQVGUBinjMhISGxiof3hamiKCkXVqQ/Wo8eNxTr169XzM3NlRUrVijXrl1TevXqpWTOnFnx9/dXFEVROnXqpIwYMSJ6/xMnTigmJibK9OnTlevXryteXl4y3WwGlNDnzdSpUxUzMzNl06ZNypMnT6Jvb9++1epLEKksoc+Z/5JZoTKehD5n7t+/r2TKlEkZMGCAcvPmTWXXrl1Kjhw5lIkTJ2r1JYhUltDnjJeXl5IpUyZl3bp1yt27d5X9+/crBQsWVFq3bq3VlyDSKOkK9X9t2rTh+fPnjBkzBn9/f8qVK8fevXujBz/dv38/RjVfrVo11q5dy6hRo/juu+8oXLgw27Zto1SpUlp9CUIDCX3eLFiwgPDwcL788ssY5/Hy8mLs2LGpGV1oJKHPGSES+pxxdnZm3759DB06lDJlypArVy4GDx7M8OHDtfoSRCpL6HNm1KhR6HQ6Ro0axaNHj8iePTtNmjRh0qRJWn0JIo3SKYq0cQkhhBBCCCGSRt4WE0IIIYQQQiSZFBZCCCGEEEKIJJPCQgghhBBCCJFkUlgIIYQQQgghkkwKCyGEEEIIIUSSSWEhhBBCCCGESDIpLIQQQgghhBBJJoWFEEIIIYQQIsmksBBCCCGEEEIkmRQWQgghhBBCiCSTwkIIIYQQQgiRZFJYCCGEEEIIIZJMCgshhBBCCCFEkklhIYQQQgghhEgyKSyEEEIIIYQQSSaFhRBCCCGEECLJpLAQQgghhBBCJJkUFkIIIYTQnJ+fHzqdjhUrVmgdRQiRSFJYCJGBde3aFRsbG61jCCHSmKZNm2JlZcXbt28/uE+HDh0wMzPj5cuXqZhMCKElKSyEyGBevnzJ7NmzadWqFb/99hvv3r2jQYMGjBw5kgsXLmgdTwiRBnTo0IF3796xdevWOD8fEhLC9u3badCgAVmzZk3ldEIIrUhhIUQGsn79evLly8fgwYM5e/Yspqam6HQ6Xr58yYwZM6hQoQJdu3YlPDxc66hCCAPWtGlTMmXKxNq1a+P8/Pbt2wkODqZDhw6pnEwIoSUpLITIIE6cOEHHjh1xdHTkxIkT+Pr64ubmhoWFBWfOnOHx48e0a9eOlStXMnToUAAURSFfvnw0a9Ys1vlCQ0Oxs7Ojd+/eABw5cgSdTsemTZti7WtjY0PXrl2jH69YsQKdToefn1/0tqtXr5IlSxYaN25MZGRkjP3Onj0b43wvXrxAp9MxduzYGNvj2jZt2jR0Oh21a9eO3vY+65EjR2Ls6+HhEec5/uv98R+6xfW1Hj16lN69e5M1a1ZsbW3p3Lkzr1+/jnHefPnyxTgWwNvbG51OR758+aK3ve+LPn369FjZSpUqFeNrDQ8PZ8yYMbi4uGBnZ4e1tTU1a9bk8OHDcX5t7/P+9/bv6//bh74H//7ZAqxevRoXFxcsLS2xt7enbdu2PHjwIEbOWrVqUaBAAZ4/fx69fezYseh0uhjnmj59OiYmJuzZsyd6W+3atSlVqlSsfNOnT48zz/z58ylZsiTm5ubkzJmT/v378+bNm1jH//XXXzRq1IgsWbJgbW1NmTJl+PnnnwG1K+HHngf/vm58f7Yf8/7nHp/v9/vvSVz7/ncMw4IFCyhVqhRWVlYx9ovrd/k9S0tLWrZsycGDB3n27Fmsz69du5ZMmTLRtGlTXr16xbBhwyhdujQ2NjbY2trSsGFDLl68+MmvuXbt2jGez+917do11vdNr9cza9YsSpYsiYWFBQ4ODvTu3TvW75kQIuWYaB1ACJE6pk6dil6vZ/369bi4uMT6fLZs2Vi1ahXXrl3jl19+wcvLixw5ctCxY0d+/PFHXr16hb29ffT+O3fuJDAwkI4dOyY524MHD2jQoAHFihVj48aNmJgkz5+mN2/eMGXKlHjte/To0RgvVONj0KBBVKpUKca2Hj16xLnvgAEDyJw5M2PHjuXmzZssWLCAe/fuRRcpcYmMjOT7779PUKb/CgwMZMmSJbRr146ePXvy9u1bli5diru7O6dPn6ZcuXJxHjd+/Hjy588PwIwZMz764qxFixa0bNkSgGPHjrFo0aIYn580aRKjR4+mdevW9OjRg+fPnzNnzhw+++wzLly4QObMmTEzM2PLli1UrVqVFi1acPDgQczNzWNda/v27QwfPpxZs2bRqFGjRH1Pxo4dy7hx43Bzc6Nv377RP48zZ85w4sQJTE1NAfj9999p3LgxTk5ODB48GEdHR65fv86uXbsYPHgwvXv3xs3NLfq8nTp1ivG9AMiePXucGZLys23Xrl30175nzx7WrVv3wX2LFSsWfZ0XL15Ev2nw3oYNG+jXrx+1a9dm4MCBWFtbc/36dSZPnvzJHB06dGDlypVs3LiRAQMGRG9/9eoV+/bto127dlhaWnL16lW2bdtGq1atyJ8/P0+fPuWXX36hVq1aXLt2jZw5cybm2xBL7969WbFiBd26dWPQoEH4+voyd+5cLly4EOPnKoRIOVJYCJFB/Pnnn+TJkyfOouI9ExMTmjZtysWLFzl9+jSNGzemc+fOTJo0iY0bN9KnT5/ofVevXk2+fPmoUaNGknK9fv2aBg0aYG1tza5du7CyskrS+f5typQpmJqafvRrfu/bb7+lYcOG/Pbbb/E+f82aNfnyyy9jbPv39+jfzMzMOHjwYPSLm7x58/Ltt9+yc+dOmjZtGucxixcv5v79+9SpU4e7d+/GO9e/ZcmSBT8/P8zMzKK39ezZk2LFijFnzhyWLl0aY/+IiAgAGjVqFP19W79+fZyFxfuWpXLlykUXmJGRkTEKi3v37uHl5cXEiRP57rvvore3bNmS8uXLM3/+/OjtWbNmZffu3VStWpUePXrw66+/xriej48PHTp0oG/fvgwcODBR34/nz58zZcoU6tevz2+//YaRkdpwX6xYMQYMGMDq1avp1q0bUVFR9O7dGycnJ3x8fMicOXP0ORRFAcDV1RVXV9fo7Z06daJMmTLxKrYT87N9/7NxcXGJvoa/v/8HC4vIyEicnJyi9/Xz84tVWGzfvp3MmTPz22+/YWFhAagtcvEpLD7//HOcnJxYu3ZtjMLC29ubiIiI6G5QpUuX5u+//47+XoP6vSpWrBhLly5l9OjR8fr6P+b48eMsWbKENWvW0L59++jtderUoUGDBnh7e8fYLoRIGdIVSogM4u3bt+TIkeOT+zk4OADqO90ARYoUoUqVKqxZsyZ6n1evXvHbb7/RoUOHWO+2v337lhcvXsS4fUhoaChNmzbl+fPn7N27N1kHeT569Ig5c+YwevToT858tWXLFs6cOcPUqVOT7fr/1atXrxjvmPbt2zdWd55/CwkJYfz48QwYMIA8efJ8cJ//fq+joqJi7GNsbBxdVOj1el69ekVkZCQVK1bk/Pnzsc4ZGhoKEP0i82Pej8WJq2XhvS1btqDX62ndunWMnI6OjhQuXDhWl6wiRYqwefNm1qxZw8SJE6O3P3nyhCZNmuDq6hrdFem/oqKiYn0/QkJCYuxz4MABwsPDGTJkSIwXuj179sTW1pbdu3cDcOHCBXx9fRkyZEiMogL4YAtTfMXnZxuXhPxsQP35fOxnA+rvq5WVVbzP+W/Gxsa0bduWkydPxuiKtXbtWhwcHKhbty6gPj/ef6+joqJ4+fIlNjY2FC1aNM7nYGJ4e3tjZ2dHvXr1Yvz8XVxcsLGx+WDXPyFE8pLCQogMImfOnNy5c+eT+92+fRuAXLlyRW/r3LkzJ06c4N69e8A/70h26tQp1vHdu3cne/bsMW7BwcFxXqtbt24cP36ct2/fRr/7nVy8vLzImTNn9BiQD4mKiuK7776jQ4cOlClTJlkz/FvhwoVjPLaxscHJySnOvvEAP/30E6GhoTHe5f8vLy+vWN/rGzduxNpv5cqVlClTBgsLC7JmzUr27NnZvXs3AQEBsfZ9Xwja2dl98mt6PybhY4XbrVu3UBSFwoULx8p6/fr1OPvnP3/+HEVRGDNmTPQL/WbNmvHw4cM493/vxo0bsa7h5eUVY5/3z+GiRYvG2G5mZkaBAgWiP//+dyWucRtJFZ+fbVwS8rMB9efzqaLa1dWVx48fM3bsWO7fv8+LFy/ifF58yPtWifeDuB8+fMixY8do27YtxsbGgFrQzpw5k8KFC2Nubk62bNnInj07ly5dStC1PubWrVsEBASQI0eOWM+BoKCgjz5vhBDJR7pCCZFBNG7cmHnz5rF06VK++uqrOPd5+vQpK1euJHv27FStWjV6e9u2bRk6dChr1qzhu+++Y/Xq1VSsWDHWizOAMWPGULNmzRjbmjRpEuf1zp8/z/bt2xkwYAC9evXi0KFDSfgK/3H9+nVWrFjB6tWrP9mveunSpfj5+bFv375kuXZyePHiBdOmTWPkyJExxrX8V69evWjVqlWMbT179ozxePXq1XTt2pXmzZvzzTffkCNHDoyNjZkyZUqchaafnx+mpqbx6vfu7+8PgKOj4wf30ev16HQ6fvvtt+gXmv/23xe+QUFBeHp60q5dO5ycnPjpp5+ic23fvp0vvviCOXPmMGTIkFjnypcvH4sXL46xzdvbO9aYDy3F92cbl38PBI8Pf39/3N3dP7rP0KFDuXnzJhMmTGDcuHEJygNqt6xixYqxbt06vvvuO9atW4eiKDFmg5o8eTKjR4+me/fuTJgwAXt7e4yMjBgyZAh6vf6j59fpdNFdz/7tvy1zer2eHDlyxGhZ/bcPjXURQiQvKSyEyCBGjRrFtm3b6Nu3Lzdu3KB9+/bR/5zv37/PwYMHGTNmDK9fv2bt2rUxulDY29vj4eHBmjVr6NChAydOnGDWrFlxXqd06dIxBrQCcb6gBFiyZAlNmzbF2NiYxo0bf7ToSYiRI0dSrlw52rRp89H9QkJCGDduHP369SNv3rxJvu7H3Lp1izp16kQ/DgoK4smTJ3EOQJ44cSKZMmVi8ODBHz1n4cKFY32vra2tYzzetGkTBQoUYMuWLTG68Pz3nfz3zp49S4UKFWJ0E/qQa9euAVC8ePEP7lOwYEEURSF//vwUKVLkk+f08vLi7du3zJgxAwcHB65evcq+ffvYtm0b1apVY/DgwXh5edGmTRucnJxiHGttbR3r++Hj4xPj8fuf882bNylQoED09vDw8OiZ0t7nBrhy5UqscyZFfH+2cTl79iwmJiYfHHD/bw8fPuTt27cf/dmAOrvT4sWLuXDhAnZ2dnh5eXHx4kWGDRsW71wdOnRg9OjRXLp0ibVr11K4cOEYkxps2rSJOnXqxBrP8+bNG7Jly/bRc2fJkiXOMSjvW5beK1iwIAcOHKB69epYWlrGO7sQInlJVyghMghHR0dOnjxJw4YNo9esWL16NcHBweTNm5fu3btjaWnJzp07adeuXazjO3XqxLVr1/jmm2+i+1Yn1fuWDQ8PD9q2bcs333zD06dPk3TOkydPsn37dqZOnfrJvvA///wzwcHBSZ55KT4WLVoUPfgW1Ck+IyMjadiwYYz9/Pz8WLBgAWPHjk2WF0jvi7p/v+v7119/cfLkyVj7Xrt2jWvXrsU5vXBcNmzYgJOT00dfvLZs2RJjY2PGjRsX651nRVFirMp85coVZs+ezbhx43BycsLIyCi65axatWqAOqNTpkyZ8PT0jFfG/3Jzc8PMzIzZs2fHyLN06VICAgLw8PAAoEKFCuTPn59Zs2bFmoY2rnfQ4yMpP9vw8HB27NjB559//snuTaAOuAd1gPWnjBw5kvv377N69Wrc3NziNdnBv71vnRgzZkz0APt/MzY2jvU98/b25tGjR588d8GCBblx40aMKYgvXrzIiRMnYuzXunVroqKimDBhQqxzREZGxjmVsBAi+UmLhRAZiLOzM9u3b+fJkyecOHGCadOm4ePjw8KFCylXrhzlypX74ItxDw8PsmbNire3Nw0bNozXQPCE+PnnnylevDgDBw5k48aNMT538uTJGIPA3w8sv337NqdPn6Zy5crRn9u/fz/16tWL17vM+/fvZ9KkSamyMnB4eDh169aldevW3Lx5k/nz51OjRo1YM0L98ccfFC9enG7duiXLdRs3bsyWLVto0aIFHh4e+Pr6snDhQkqUKEFQUFD0fvv27Yt+l9rS0pLVq1dHf+7Ro0cEBwezevVqOnbsyNmzZxk9ejR79+5l4cKFHy3gChYsyMSJExk5ciR+fn40b96cTJky4evry9atW+nVq1f0dfv160fJkiU/OuOTjY0NM2fOpHXr1vTs2TNeL5z/LXv27IwcOZJx48bRoEEDmjZtGv3zqFSpUvQMSkZGRixYsIAmTZpQrlw5unXrhpOTEzdu3IhuRUmoxP5sL126xLhx43j48CEeHh4xfjbvBz9v27Yt+g0BLy8vlixZQtu2bSlWrNhHz33gwAFmzpzJr7/+muhWu/z581OtWjW2b98OEKuwaNy4MePHj6dbYole+gAAaZpJREFUt25Uq1aNy5cvs2bNmhgtRh/SvXt3fvrpJ9zd3fnqq6949uwZCxcupGTJktF/BwBq1apF7969mTJlCj4+PtSvXx9TU1Nu3bqFt7c3P//8c6wZ3IQQKUARQmRYXbp0UaytreO9f79+/RRAWbt2bazPHT58WAEUb2/vWJ+ztrZWunTpEv14+fLlCqD4+vrG2G/lypUKoOzYsSPGfh+71apVK/p4QNHpdMq5c+dinLdWrVox9nuf1cnJSQkODo6xL6B4eXl99PuQmK/1jz/+UHr16qVkyZJFsbGxUTp06KC8fPkyxrF58+ZVAGXr1q0xtnfp0kXJmzdv9GNfX18FUKZNmxbr+iVLlozxter1emXy5MlK3rx5FXNzc6V8+fLKrl27Yp2zVq1an/xev/+X8cMPPyiVKlVS1qxZE+v6H/rZbt68WalRo4ZibW2tWFtbK8WKFVP69++v3Lx5U1EU9Wev0+mUEydOxDjOy8tLietfVb169ZRixYopYWFh0flLliwZa79p06bFmWfu3LlKsWLFFFNTU8XBwUHp27ev8vr161jHHz9+XKlXr56SKVMmxdraWilTpowyZ86cWPspysefO/H92cbl/ffgU7fDhw8rJ06cUAoVKqSMHTs2+nvz3vvnzfLlyxVFUZQXL14oOXPmVNq1axdjv489vz9k3rx5CqBUrlw51udCQ0OVr7/+WnFyclIsLS2V6tWrKydPnoz1e/nffO+tXr1aKVCggGJmZqaUK1dO2bdv3we/b4sWLVJcXFwUS0tLJVOmTErp0qWVb7/9Vnn8+HG8vxYhROLpFCWRbbpCiAxn6NChLF26FH9//2RdbyKxxo4dy5EjR2KtoG1I3i/YdebMGSpWrKh1nA96v8Lxh1Yd9/PzI3/+/InuBiQSLz7P83z58rFixYo4V6kWQojUImMshBDxEhoayurVq/niiy8MoqgQQgghhGGRMRZCiI969uwZBw4cYNOmTbx8+TJRs9mklEKFCsVaAE0kTr169T46CNvGxiZW33mROsqUKfPJaZNbtGgRvbilEEJoRbpCCSE+6siRI9SpU4ccOXIwevRoBgwYoHWkNCWtdIUSQgghkkoKCyGEEEIIIUSSyRgLIYQQQgghRJJJYSGEEEIIIYRIsjQxeFuv1/P48WMyZcr0yZV0hRBCCCGEEMlDURTevn1Lzpw5MTL6eJtEmigsHj9+jLOzs9YxhBBCCCGEyJAePHhA7ty5P7pPmigsMmXKBKhfkK2trcZphBBCCCGEyBgCAwNxdnaOfj3+MWmisHjf/cnW1lYKCyGEEEIIIVJZfIYjyOBtIYQQQgghRJJJYSGEEEIIIYRIMikshBBCCCGEEEmW4MLi6NGjNGnShJw5c6LT6di2bdsnjzly5AgVKlTA3NycQoUKsWLFikREFUIIIYQQQhiqBBcWwcHBlC1blnnz5sVrf19fXzw8PKhTpw4+Pj4MGTKEHj16sG/fvgSHFUIIIYQQQhimBM8K1bBhQxo2bBjv/RcuXEj+/PmZMWMGAMWLF+f48ePMnDkTd3f3hF5eCCGEEEIIYYBSfLrZkydP4ubmFmObu7s7Q4YMSelLJ6u1a+HhQ61TiIQwNoamTaFwYa2TCCGEEEL8h6LA69fw4AG8fQshIfDunfrx37fPPgNXV63TxkuKFxb+/v44ODjE2Obg4EBgYCDv3r3D0tIy1jFhYWGEhYVFPw4MDEzpmJ+0YAEcP651CpFQ48bBjh1Qu7bWSYQQQgiR4URFwa1bcOEC3LkD9+/HvAUHf/ocEydKYZEUU6ZMYdy4cVrHiKFhQyhUSOsUIiGuXIGzZ6FBA9iwAZo10zqREEIIIdKtyEi4dg3On//n5uPz6eIhe3bInBmsrGLeLC3Vj6VLp0b6ZJHihYWjoyNPnz6Nse3p06fY2trG2VoBMHLkSDw9PaMfv19KXEvffafp5UUihIZCu3awbRt88QUsXQpdumidSgghhBDpgqKorRD798Pvv8OhQxBXLxsrKyhbFooVg7x5IU+ef265c6sFRDqR4oWFq6sre/bsibHt999/x/UjTTrm5uaYm5undDSRzllYgLc39OoFy5dD167w6hUMHap1MiGEEEKkSW/fqkXE/v3qzdc35udtbaFChZi3IkXUgZ8ZQIILi6CgIG7fvh392NfXFx8fH+zt7cmTJw8jR47k0aNHrFq1CoA+ffowd+5cvv32W7p3786hQ4fYuHEju3fvTr6vQogPMDFRWyrs7WHGDPD0hJcvYcIE0Om0TidE+rTSZyXDfh9G6RylcSvghlsBN1ycXDA2yhj/WIUQ6UxYGOzdq87ks3OnOsD6PVNTqF4d6tdXb+XLg1HGXX9apyiKkpADjhw5Qp06dWJt79KlCytWrKBr1674+flx5MiRGMcMHTqUa9eukTt3bkaPHk3Xrl3jfc3AwEDs7OwICAjA1tY2IXGFANTWyqlT/+nS1qcPzJ2bYd5AECLVnH9yHtelroRHhcfYbmduR538dXDL70ajwo3InyW/RgmFECIeoqLg6FG1mNi0Cd68+edzhQpBo0ZqIVGrFtjYaBYzNSTkdXiCCwstSGEhkssvv0DfvmqhMWaMOmuUECJ5BIQGUGFRBe6+vkvjIo1pWKghB+4e4LDfYd6Evonez9zYnENdDlHNuZp2YYUQIi5PnqgvFhYvhseP/9meMye0bQvt26vdmzJQtwcpLIT4iOXLoXt3dazU7dvq3wohRNIoisKX3l+y5foW8mXOx/le58limQWAKH0U55+c58DdA2y8thEffx+q5q7Kn93/RJeB/jkLIQzYX3/B7Nnq4MyICHVblizw5ZdqMVGzZobt5iCFhRAfoShQowb8+ac6sPuXX7ROJETa9/Opnxmybwhmxmac6H6Cijkrxrnfk7dPKDSnECERIWxuvZmWxVumclIhhPi/sDC1kJg9G86c+Wd79eowcCC0aAFmZtrlMxAJeR2ecUeXiAxLp4Mff1TvL10KN25om0eItO6vh38x7PdhAMyoP+ODRQWAUyYnPKuq04mPPDiSSH1kqmQUQoho797BrFmQLx906qQWFWZm6vSR586pKyK3aSNFRSJIYSEypOrV1QXzoqJkjRIhkuLVu1e03tSaSH0krUq0on+l/p885pvq35DNKht/v/ybZReWpUJKIYRAXeBqzhwoWFCde97fH3LlUle2fvBA7StdoYLWKdM0KSxEhjV5sjoj3NatcPKk1mmESHv0ip4u27pwP+A+hewLsbjJ4niNmbA1t2X0Z6MBGHtkLMHhn1iVVgghkiIsDBYsUGdzGjRIHaCdJ486QNvXF77/HnLk0DpluiCFhciwSpSAbt3U+8OHq2MvhBDxN+PPGez6exfmxuZ4t/LGzsIu3sf2dulN/sz5eRL0hFmnZqVcSCFExhUVpfZ5LlIE+vWDR4/Ula4XLIBbt6BHD3UdCpFspLAQGdrYseoK3ceOgazZKET8nbh/gpEHRwIwu+FsyjmWS9Dx5ibmTPx8IgA/nPiBFyEvkjuiECIjO3ECKlVSi4f799UpIOfOVaeD7NNHxk+kECksRIaWOzcMHqzeHzFCfXNDCPFxz4Of02ZTG6KUKNqXbk/PCj0TdZ62pdpS3rE8b8PfMunopGROKYTIkB49gg4d1OkfL1wAOzuYMUMtKPr3B3NzrROma1JYiAxvxAh1quqrV2HVKq3TCGHY9IqeTls78ejtI4plK8YvjX9J9FoURjojfnD7AYB5Z+bh+9o3OaMKITKS0FB18GTRoupq2TqdOqf8rVvg6akuXiVSnBQWIsPLnFkdtwXqatzv3mkaRwiDNuXYFPbd2YeliSXerbyxMbNJ0vnqFayHWwE3IvQRjDkyJplSCiEylD17oGRJ9Z95cDBUqwZnz6oLVWXPrnW6DEUKCyFQW0edneHhQ3UmOiFEbId9D0e/+J/vMZ9SOUoly3mn1p0KwJpLa/Dx90mWcwohMoBXr6BzZ/DwgLt31XEUa9ao61DItLGakMJCCNQB3BMmqPenTFH/Vgkh/uEf5E/7Le3RK3q6letG13Jdk+3cLjldaFuqLQoKww8MT7bzCiHSse3b1VaKX39V54739ISbN6F9e7UblNCEFBZC/F/HjlC6NLx5A1Onap1GCMMRpY+i/eb2+Af5UypHKeY2mpvs15j0+SRMjUzZf2c/B+8eTPbzCyHSiZcv1cHZzZurC9wVK6bOADVjBtgkrWumSDopLIT4P2PjfwqK2bPVRTiFEDD+j/Ec9juMtak13q28sTK1SvZrFMhSgD4V+wAw/MBw9Io+2a8hhEjjtmxRF6Fau1ZtpRg+XJ35qWpVrZOJ/5PCQoh/adgQatVSF+n08tI6jRDa239nPxOOqv0EFzVZRLFsxVLsWqM+G4WNmQ3nnpzD+6p3il1HCJHGBAVBly7wxRfw7JlaXJw8qb4baGGhdTrxL1JYCPEvOh38oM5+ycqVcOWKtnmE0NLjt4/puKUjCgq9XXrTvnT7FL1eDuscfFPtGwC+P/Q94VHhKXo9IUQacPEiuLio88EbGcF338H581C5stbJRByksBDiP6pUgS+/BL0eRo7UOo0Q2ojUR9J2U1uehzynnGM5ZjWYlSrX9XT1xMHagTuv77D43OJUuaYQwgApCixYoP5T/vtvyJULjhyBSZNkkTsDJoWFEHGYNEkdc7FrFxw9qnUaIVLf6EOjOXb/GJnMMuHdyhsLk9TpbmBjZoNXLbUf4vij43kb9jZVriuEMCBv3kCrVtCvn9o32cMDfHygZk2tk4lPkMJCiDgUKQI9e6r3hw9X3zgRIqPY/fdupp5QZzJY1mwZhewLper1e1ToQWH7wjwLfsZPJ39K1WsLITR2+jSULw//a+++46qq/ziOvy4bREAcgEmi4jZH7q3Jz5m5wpE5s6xc5cSJG3dakntkORB3ZqaiqDnSVFy59wKcIKCA957fHycxFJXLOlz4PB+P++hw77nnvK+ny+Vzv2vtWrC0VGd7+vVXyJNH62QiGaSwEOI1Ro0COzs4eBA2bNA6jRAZ43rEdTpv6AxAnyp9+LjUxxmewdLckokNJgIwdf9UwqLCMjyDEEIDc+ZAzZpw9SoUKqQudNe/v6xLYUKksBDiNdzc1N9noI61ePZM2zxCpLc4fRzt1rTjwZMHVM5fman/m6pZljYl21DlnSpEx0cnzEolhMii4uLgq6/Urk/PnqkDHY8dkwHaJkgKCyHeYNAgtfX13DlYskTrNEKkr6E7hnLw5kGcbJwI+DgAawvtBkjqdDome6lTtM07Mo+LDy5qlkUIkY7u3oWGDWHuXLVlws8PVq8GR0etk4kUkMJCiDdwcICRI9VtX1+IjtY2jxDpZcPZDcw4qI5nWNpiKYVyFdI4EdTzqEcTzyY8MzxjxM4RWscRQqS1EyegcmXYvRty5oRNm8DHR7o+mTApLIR4i5491a6ed+7ArFlapxEi7V1+eJmuG7oC0L9af1qUaKFtoP+Y5DUJHToCTgdw+NZhreMIIdLKunVQowZcuwaenuqAxg8/1DqVSCUpLIR4C2trGD9e3Z48Ge7d0zaPEGkp9lks7da0IyI2guoFqjPJa5LWkRIp61KWTuU6ATBkxxAUmaJNCNOmKDB2rLqKdnQ0eHnBX3+pq2kLkyeFhRDJ0L69OvtdZCRMnKh1GiHSzsBtA/n79t842zqz6uNVWJpbah3pFWPrjcXK3IpdV3ex7dI2reMIIVIqPh66d1f7FgP06we//w7OztrmEmlGCgshksHMDCb9+0Wuv786E54Qpm716dXMPjwbgJ9b/cy7ju9qnChpBZ0K0rtyb0BttTAoBo0TCSGMFh0NLVrA0qXqCrTz58PMmWBhoXUykYaksBAimRo2VFts4+JeDOgWwlRduH+BHpt6AOBT04emRZtqnOjNhtUehqO1I8fDjrPy5Eqt4wghjHH3LtSvr7ZO2Nqqi0M9X4VWZClSWAhhhOetFsuXQ0iIplGESLEn8U/wDvTmcdxjar9bm3EfZP51InLb5canlg8AI3aNIPZZrMaJhBDJcvmyOkj78GHInRt27pRB2lmYFBZCGKFiRXW8haKoi+YJYYq+2foNx8OOk9cuL6s+XoWFmWl0RehbtS/5c+bn6qOrzPl7jtZxhBBvc/SoWlRcvAgFC8K+fVCtmtapRDqSwkIII02YAJaWsHWr+sWLEKZk+YnlzD86Hx06VrRZQf6c+bWOlGx2lnaMqTcGgPF7xhPxNELjREKI19qxA+rWhbAwKFcODhyA4sW1TiXSWYoKC39/fzw8PLCxsaFq1aocOnTojfvPnDmT4sWLY2tri7u7O99++y1Pnz5NUWAhtFa4MHz5pbo9eDAYZBypMBFn7p6h5+aeAIyqOwqvwl4aJzJe1/JdKZGnBPef3Gfq/qlaxxFCJOXXX6FZM4iKgg8+UBfAc3PTOpXIAEYXFgEBAfTv3x9fX1+OHj1KuXLlaNSoEeHh4Unuv2LFCnx8fPD19eXMmTMsWrSIgIAAhg0blurwQmhlxAiwt4cjR2DNGq3TCPF20XHReAd6Ex0fTYNCDRhZxzRnILAws2BSA3Ww04wDM7jz+I7GiYQQiaxdC61bqzOdtGkDW7aAo6PWqUQGMbqwmDFjBp9//jndunWjVKlSzJ07Fzs7OxYvXpzk/vv376dmzZp88skneHh40LBhQzp06PDWVg4hMrN8+WDQIHV72DB1am4hMrPev/fm9N3TuNq7srz1cszNzLWOlGIfFf+IGu41ePLsCaODR2sdRwjx3MqV0K4dPHsGn3wCq1apq8yKbMOowiIuLo4jR47g5fWi+dzMzAwvLy8OHDiQ5HNq1KjBkSNHEgqJy5cvs2XLFpo2ff3UhrGxsURGRia6CZHZ9O8PLi5w6ZI6HbcQmdWSY0tYGrIUM50ZK9usxMXeRetIqaLT6ZjsNRmARccWcfbeWY0TCSH46Sf49FPQ66FLF1i2TNaoyIaMKizu3buHXq/HxSXxh5KLiwuhoaFJPueTTz5h7Nix1KpVC0tLS4oUKUK9evXe2BXKz88PR0fHhJu7u7sxMYXIEPb2LxYPHTsWHj/WNo8QSTkZdpJeW3oBMK7+OOp51NM2UBqp9W4tPir+EXpFz/Cdw7WOI0T2tnAhdOumDjr8/HNYvFhdBE9kO+k+K1RwcDATJ07kxx9/5OjRo6xbt47ffvuNceNeP2/60KFDiYiISLjduHEjvWMKkSI9ekDRohAeDjNmaJ1GiMQexz7GO9CbJ8+e0NizccI6EFmFXwM/zHRmrDuzjoM3D2odR4js6ccf1WJCUaBXL5g7F8xk0tHsyqgrnydPHszNzQkLC0t0f1hYGK6urkk+Z+TIkXTq1IkePXrw3nvv0apVKyZOnIifnx+G10ynY21tjYODQ6KbEJmRpSVMnKhuT52qzqonRGagKAo9N/fk3P1zvJPzHX5u9TNmuqz1YV8qbym6le8GwODtg1EUReNEQmQzP/ygFhOg9g/+4QcpKrI5o66+lZUVFStWJCgoKOE+g8FAUFAQ1atXT/I5MTExmL30P5n5v81j8iEgsoI2baBKFYiOhjc0xAmRoeYfmc/KUysx15kT8HEAeezyaB0pXYyuNxobCxv2Xt/Lbxd+0zqOENnHokXQt6+67eMD06aBTqdtJqE5o8vK/v37s2DBAn766SfOnDnDV199RXR0NN26qd8ade7cmaH/WZK4efPmzJkzh1WrVnHlyhW2b9/OyJEjad68eUKBIYQp0+lgsjqOlHnz1AVGhdDS0TtH6btV/cCf5DWJmu/W1DhR+ingUIB+VfsB4LPDB71Br3EiIbKBlSvV7k8AAweqTfdSVAjA6OH67dq14+7du4waNYrQ0FDKly/P1q1bEwZ0X79+PVELxYgRI9DpdIwYMYJbt26RN29emjdvzoQJE9LuVQihsXr1oEkT+P13dY2LVau0TiSyq4inEXgHehOnj6N5seYMqD5A60jpbkjNIcw/Mp/Td0/z84mf6Vq+q9aRhMi6Nm2CTp3UMRVffglTpkhRIRLoFBPojxQZGYmjoyMREREy3kJkWsePQ4UK6u/aQ4egcmWtE4nsRlEUvAO9WXtmLQUdC3K051GcbZ21jpUhpu2fxqDtgyjgUIDzvc9ja2mrdSQhsp4dO9QVtePi1OJi6VIZU5ENGPN3uPzfIEQaKVdOncIbYMgQtcAQIiP9cOgH1p5Zi6WZJau9V2ebogKgd5XeuDu4czPyJrMPzdY6jhBZz7590KKFWlS0bq1OKStFhXiJ/B8hRBoaNw6srGDXLti2Tes0Ijs5dOsQA7cNBGDq/6ZS5Z0qGifKWDYWNoyrr86eMPHPiTx88lDjREJkIUeOQNOmEBMDjRvDihWy+J1IkhQWQqShggWhd291e8gQda0gIdLbgycPaBvYlnhDPK1LtqZv1b5aR9LEp2U/pUy+Mjx6+ohJf07SOo4QWcM//0CjRhAZCXXqwNq1YG2tdSqRSUlhIUQaGzYMHBzUMRcrVmidRmR1iqLQdUNXrkVco3Cuwiz+aDG6bDqQ0tzMnEkN1IJi1l+zuBEhi6sKkSq3b6stFPfvqwMHf/0V7Oy0TiUyMSkshEhjuXOrU3qDOkNUbKy2eUTWNv3AdH49/ytW5lYEegfiaOOodSRNNS3alLoF6xKrj8U32FfrOEKYrshItfvTjRtQrJg67aFMoCPeQgoLIdJBv37g5gbXrsGcOVqnEVnVvuv78NmhVrGzGs/ifbf3NU6kPZ1Ox2QvdWGZn47/xKnwUxonEsIExcWpq78ePw4uLrB1q/qtmRBvIYWFEOnAzg7GjFG3x4+HiAht84is517MPdqtaYde0dO+THt6VuypdaRMo2qBqrQp2QaDYmBY0DCt4whhWhQFevRQp5bNkQN++w0KFdI6lTARUlgIkU66dYMSJdSuqVOmaJ1GZCUGxUCn9Z249fgWxXIXY/6H87PtuIrXmfDBBMx15vx6/lf2XNujdRwhTMfIkfDzz2BuDoGBULGi1omECZHCQoh0YmEBfn7q9nffqWPghEgLk/+czNaLW7GxsCHQO5Cc1jm1jpTpFM9TnM/f/xyAITuGYAJrwQqhvXnzYMIEdXv+fGjSRNs8wuRIYSFEOmrRAqpXhydPXnSNEiI1dl/dzYhdIwDwb+pPWZeyGifKvEbVHYWdpR0Hbx5kw9kNWscRInP79Vf4+mt1e/Ro6N5d0zjCNElhIUQ60ulgsjqOlEWL4OxZbfMI0xYWFUaHtR0wKAY6l+tMt/LdtI6UqbnldKN/tf4ADA0ayjPDM40TCZFJHTkC7dqpiy999hmMGqV1ImGipLAQIp3Vrg3Nm4NeD8OHa51GmCq9QU/HdR25E3WHUnlL8WPTH2VcRTIMqjmI3La5OXf/HIuPLdY6jhCZz+3b8NFHatN648bqVIbyu0WkkBQWQmQAPz8wM4N16+DgQa3TCFM0bs84gq4EYWdpR6B3IDmscmgdySQ4WDswss5IAEYHjyY6LlrjREJkIk+eQMuWanFRqhQEBIClpdaphAmTwkKIDFC6NHTtqm4PHqzO5idEcu24vIOxu8cCMO/DeZTKW0rjRKbly0pfUsipEHei7jDrr1laxxEic3g+rezhw+DsDJs2yQJ4ItWksBAig4weDTY2sHevOi24EMlx+/FtPln7CQoKPSr04NOyn2odyeRYW1gz/oPxAEzeN5l7Mfc0TiREJjBpEqxYoU5huGYNFCmidSKRBUhhIUQGcXeHvn3VbR8fdcyFEG/yzPCMDms7cDfmLmVdyvJ9k++1jmSy2pdpT3nX8kTGRjJhzwSt4wihrY0bYdi/i0fOng3162ubR2QZUlgIkYF8fCBXLjh9Wl1/SIg3GbVrFHuu7cHeyp5A70BsLW21jmSyzHRmTPZSp2jzP+zPlYdXNE4khEZOnICOHdXt3r2hZ09t84gsRQoLITJQrlwvviQaOVIdNydEUn6/8Dt+f6orLC5svpBiuYtpnMj0/a/w/2hQqAHxhnhGBct0miIbCg9XZ4CKjoYGDdTVW4VIQ1JYCJHBevdWu0XdvAn+/lqnEZnRjYgbdFrfCYCvK31NuzLtNE6UNeh0uoRWi+UnlhMSGqJtICEyUlwctGkD166BpyesXq2OrxAiDUlhIUQGs7GBcePU7YkT4eFDbfOIzCVeH0+7Ne24/+Q+77u9z/RG07WOlKVUzF+R9mXao6Dgs8NH6zhCZJxBg+DPP9WZn379VZ0JSog0JoWFEBr49FMoU0YtKvz8tE4jMpOhQUM5cPMAjtaOBHoHYmNho3WkLGd8/fFYmFnwx6U/CLocpHUcIdLfypXw/b+TP/z8M5QooW0ekWXpFCXzz6gfGRmJo6MjEREROMgcyyKL+O03+PBDsLaGCxfU7lEie9t4diMtA1oCsK7tOlqVbKVtoCysz5Y+zD48m4puFTn0+SHMdPI9m8iiTp+GKlUgJkYd5DchfWZFUxSFZ8+eoZcpD02Oubk5FhYW6F6z4roxf4dLYSGERhQF6tWDPXuge3dYtEjrREJLVx5e4f357/Po6SO+qfoN3zWWQZXpKTw6nCLfFyEqLoqAjwNoW7qt1pGESHuRkVC5Mpw/D15esHUrmJun+Wni4uK4c+cOMTExaX5skTHs7Oxwc3PDysrqlceksBDCRPz1F1SrBmZm6gyApUtrnUhoIfZZLLWX1Obw7cNUfacqe7rtwcr81V/uIm2N3T0W32BfiuQqwpleZ7A0t9Q6khBpR1Hg449h3Tq1SfzIEcibN81PYzAYuHDhAubm5uTNmxcrK6vXfvMtMh9FUYiLi+Pu3bvo9XqKFi2KmVniFlxj/g6X6QCE0FDVquokHWvXwtChsGmT1omEFgZtH8Th24fJZZOLgI8DpKjIIP2r98f/sD+XHl5i/pH59KrSS+tIQqSdadPUosLSEgID06WoALW1wmAw4O7ujp2dXbqcQ6QvW1tbLC0tuXbtGnFxcdjYpHxsn3QqFUJjEyaoLdO//gp792qdRmS0Nf+s4YdDPwCwrNUyCjoV1DhR9mFvZY9vXV8Axu4Zy+PYxxonEiKNBAerK7ICzJqlfouVzl7+lluYlrS6fvJ/gRAaK14cevRQt4cMUVuvRfZw8cFFum/sDsDgGoP5sNiHGifKfj5//3M8nT0Jjw5nxoEZWscRIvVu3YJ27cBggE6d4MsvtU4kshEpLITIBHx9wc4ODhyADRu0TiMywtNnT/EO9OZx3GNqvVuL8R+M1zpStmRpbsnEDyYCMO3ANMKiwjROJEQqPHumFhXh4VC2LMydCzLeIUspXbo0d+/eJSIigqJFi/L4ceZqaZXCQohMwM0N+vdXt4cOVT8bRNb2zdZvCAkNIY9dHla1WSUDhzX0camPqZy/MlFxUYzfIwWeMGFjxsC+fZAzpzp4T8Y8vFHXrl1p2bLlK/cHBwej0+l49OhRhmd6my5dupA/f36cnZ1p2rQpOXPm1DpSIlJYCJFJDBoEuXPDuXOwZInWaUR6WnFyBfOOzEOHjuWtl/OOwztaR8rWdDodk70mAzD3yFwuPbikcSIhUmDnzhdrVCxYAJ6e2uYR6WLw4MHcv3+fu3fvMmvWLK3jvCJFhYW/vz8eHh7Y2NhQtWpVDh069Mb9Hz16RK9evXBzc8Pa2ppixYqxZcuWFAUWIqtycICRI9VtX1+IjtY2j0gfZ++d5YtfvwBgeO3hNCzSUONEAqB+ofo08WzCM8Mzhu8crnUcIYxz9y58+qk6SK9HD7U7lEgTS5cuxcnJKdF9derUQafTERISAsCePXsoWbIkdnZ2ODo60qhRIy5cuJCwv4eHBzNnzkz4ecSIERQoUICrV68m+xz/bUVxcHDA2dmZTp06odPp2JCJ+lAbXVgEBATQv39/fH19OXr0KOXKlaNRo0aEh4cnuX9cXBz/+9//uHr1KmvWrOHcuXMsWLCAd96Rb+iEeNmXX4KHB9y5o07kIbKWmPgYvAO9iY6Ppr5HfUbXG611JPEffg380KEj4HQAf9/+W+s4QiSPwQBduqgfHCVLav7hoSjqF2Na3DJi8pN169Zx7NixRPe98847zJ49m9OnT/Pnn39iZmZGz549k3z+9OnTmTdvHtu3b8fDwyPZ53jZkSNH2JQJ56g3urCYMWMGn3/+Od26daNUqVLMnTsXOzs7Fi9enOT+ixcv5sGDB2zYsIGaNWvi4eFB3bp1KVeuXKrDC5HVWFvD+H+7eE+eDPfuaZtHpK3eW3pzKvwULjlcWNFmBeZmab8Crki5cq7l+LTspwAM2TEEE1g/VgiYORN+/139AAkI0HxcRUwM2Ntrc0vJwt+bN2/G3t4+0a1JkyZJ7hsfH8+QIUMYMmRIovuLFClCgwYNKFSoEEWLFsXNzQ29Xv/K8xcuXMjYsWPZunUrJUuWNOocL+vfvz+DBg1K5qvMOEYVFnFxcRw5cgQvL68XBzAzw8vLiwMHDiT5nE2bNlG9enV69eqFi4sLZcqUYeLEiUn+gz8XGxtLZGRkopsQ2UWHDlC+PERGwsSJWqcRaWVpyFKWhCzBTGfGyjYrcbV31TqSSMK4+uOwMrdi55WdbL+8Xes4QrzZ33+/WK9i5kx47z1N45ii+vXrExISkui2cOHCJPf19/fH0dGRjh07vvLY9evXsbe3J0eOHBw6dIilS5cmenzjxo307NmT/PnzU6ZMmdfmedM5ntuwYQOXL19mwIAByXuRGciowuLevXvo9XpcXFwS3e/i4kJoaGiSz7l8+TJr1qxBr9ezZcsWRo4cyfTp0xk//vUzb/j5+eHo6Jhwc3d3NyamECbNzExtrQDw94d/u2AKE3Yq/BRf//Y1AKPrjqZ+ofoaJxKvU9CpIL0r9wbUVguDYtA4kRCvERkJ7dtDfDy0aQOv6XqT0ezsICpKm1tKGmty5MiBp6dnoltS3fUfPnzIuHHjmDFjBrokpvDNnz8/ISEh7N69m1y5cjFp0qREj+/bt4+AgAB0Oh2jR49OMsvbzgFqi8bgwYOZMGECtra2xr/gdJbus0IZDAby5cvH/PnzqVixIu3atWP48OHMnTv3tc8ZOnQoERERCbcbN26kd0whMpX//Q8aNIC4uBcDuoVpioqLwjvQmyfPntCwSEOG15GBwZndsNrDcLB2ICQ0hJUnV2odR4hXKYo6KO/SJXj3XXUWqEyyXoVOBzlyaHNLz3+CcePGUbt2berUqZPk4xYWFnh6elKrVi0GDhzI8uXLEz3u4+PDxx9/zNKlS/nuu+84fPiw0ecAmDNnDvb29nTq1Cl1LyidGFVY5MmTB3Nzc8LCEi8gFBYWhqtr0s36bm5uFCtWDHPzF32JS5YsSWhoKHFxcUk+x9raGgcHh0Q3IbITnQ6ef9mxfDn8OymEMDGKovDl5i85e+8s+XPm55dWv2Cmk1m+M7vcdrnxqal2LxmxawSxz2I1TiTES376CVauBHNz9b+5cmmdKEuLiYlh/vz5TJkyJcnHN2/ezL59+7h+/Tr79+9nypQpVKhQIdE+zs7OAFSpUoVvvvmGbt26Jfo7+G3neG7KlClMnz79tS0aWjPqE87KyoqKFSsSFBSUcJ/BYCAoKIjq1asn+ZyaNWty8eJFDIYXzcnnz5/Hzc0NKyurFMYWIuurVEmdMVBR1EXzhOlZeHQhy08ux1xnzqo2q8ibI6/WkUQy9avWDzd7N64+usrcv1/fwi5EhrtyBfr0UbfHjoUaNbTNkw3Ex8fTrVs3ihUrluTjN2/epEuXLhQtWpRWrVrxzjvvvNJi8V9jxozBYDAk6hL1tnM8V79+ferXz7zdaXWKkdNeBAQE0KVLF+bNm0eVKlWYOXMmq1ev5uzZs7i4uNC5c2feeecd/Pz8ALhx4walS5emS5cu9OnThwsXLtC9e3f69u3L8OHJ6xIQGRmJo6MjERER0nohspVLl6BECXUl7qAg+OADrROJ5AoJDaHawmrE6mOZ1GASQ2q9eYYPkfksOLKALzZ/QW7b3FzqewlHG0etI4nsTq+HevXgzz+hVi0IDlZbLTT09OlTrly5QqFChbCxsdE0i0i5N11HY/4ON7pNvl27dkybNo1Ro0ZRvnx5QkJC2Lp1a8KA7uvXr3Pnzp2E/d3d3fnjjz84fPgwZcuWpW/fvvTr1w+f57MYCCFeq0gRtRstwJAhGTNHt0i9yNhIvAO9idXH0qxoMwbVzHxTAoq361ahGyXylOD+k/tM3T9V6zhCwPTpalFhbw/LlmleVAjxMqNbLLQgLRYiOwsPVwuMqCh1ivK2bbVOJN5EURTarWlH4D+BuDu4c6znMXLb5dY6lkihDWc30CqgFbYWtlzqewm3nG5aRxLZ1fHjULmyOgvUokXQvbvWiQBpscgqNGuxEEJkrHz5YOBAdXvYMPUzRWRePx7+kcB/ArEws2C192opKkxci+ItqF6gOk+ePWF08Git44js6ulT6NRJ/QBo0QK6ddM6kRBJksJCCBMwYIBaYFy6pM4qKDKnv2//zbd/fAvAFK8pVCtQTeNEIrV0Oh2TvdSFZRYdW8TZe2c1TiSypZEj4eRJ9YNg/vxMM7WsEC+TwkIIE2BvD76+6vaYMWq3KJG5PHzyEO9Ab+IN8bQs0ZJvqn2jdSSRRmoXrE3zYs3RK3qG75R1SEQG271bHVsB6jdL+fJpm0eIN5DCQggT8fnn4OmpjrmYMUPrNOK/FEWh28ZuXH10lUJOhVjSYkmmnWNcpMzEBhMx05mx7sw6Dt48qHUckV1ERkKXLurMHZ99Bh99pHUiId5ICgshTISlJUyYoG5PnQovrVMpNDTz4Ew2ntuIlbkVgd6BONk4aR1JpLEy+crQpVwXAAZvH4wJzHsisoJ+/eDaNShUCL77Tus0QryVFBZCmBBvb3XhvKgoGD9e6zQC4ODNgwzeMRiAGQ1nUDF/RY0TifQypt4YbCxs2Ht9L79d+E3rOCKr27gRli5Vx1MsWwY5c2qdSIi3ksJCCBOi08GUKer23LnqYG6hnfsx92kb2JZnhme0K92Oryt/rXUkkY7cHd3pW6UvAD47fNAb9BonElnWgwcvFjEaNEhdDE8IEyCFhRAmpn59aNxYXY17xAit02RfBsVA5w2duRF5g6LORZnffL6Mq8gGfGr54GTjxOm7p/n5xM9axxFZ1bffQmgolCypztghhJF++OEHxo0bB4C/vz8Dn89bn86ksBDCBE2apLZerFoFf/+tdZrsaeq+qWy5sAUbCxsCvQNxsJbFO7ODXLa5GFZrGAAjd43kSfwTjROJLOe339SuTzodLF4MsuhcugoNDaVPnz4ULlwYa2tr3N3dad68OUFBQVpHS5W2bdvy008/YWlpyfjx4/nss88y5LxSWAhhgsqVg44d1e0hQ9QJQ0TG2Xttb8K0o983/p5yruU0TiQyUp+qfXB3cOdm5E38D/trHUdkJRER0LOnuv3tt1BN1sJJT1evXqVixYrs3LmTqVOncvLkSbZu3Ur9+vXp1auX1vFSxcXFhfPnz3Pt2jVu3LhByZIlM+S8UlgIYaLGjQMrK9i5E7Zv1zpN9hEeHU77te3RK3o+LfspPd7voXUkkcFsLGwYW38sABP3TuThk4caJxJZxsCBcOuWOrf4v91YRPr5+uuv0el0HDp0iDZt2lCsWDFKly5N//79OXhQnVZap9MxZ84cmjRpgq2tLYULF2bNmjWJjnPjxg3atm2Lk5MTzs7OtGjRgqtXryba5+rVq+h0uldujx49SthHp9OxYcOGRM+rV68e33zzTcLPHh4ezJw5M+HnoKAgdDodLVu2fOU5ZmZm5M+fn0uXLmFpaUn58uVT8a+VPFJYCGGiPDzg+RcqQ4aAwaBpnGxBb9DTcV1Hbj++TYk8JZjTbI6Mq8imOpXtROm8pXn49CGT/pykdRyRFWzfDgsXvugCZWendaIUURSF6LhoTW7GTAP94MEDtm7dSq9evciRI8crjzs5OSVsjxw5kjZt2nD8+HE6duxI+/btOXPmDADx8fE0atSInDlzsnfvXvbt24e9vT2NGzcmLi7ulePu2LGDO3fusHbtWuP/cV9iMBgYMGAA9vb2b9xv0KBB2GRQlzqLDDmLECJdDBsGixZBSIg63uKTT7ROlLVN2DuBHZd3YGthyxrvNdhbvfmXuci6zM3MmeQ1ieYrmzPrr1n0rtIbd0d3rWMJU/X4MfT4t/Wzd2+oXVvbPKkQEx+DvZ82vxujhkaRw+rVIiEpFy9eRFEUSpQo8dZ9vb296fHv9Rk3bhzbt2/nhx9+4McffyQgIACDwcDChQsTvmhasmQJTk5OBAcH07BhQwBiY2MBcHV1xdXVFWdn55S8xER++uknYmNjadGiBVFRUUnus2vXLvbv30+PHj3YtWtXqs/5NtJiIYQJy5NHba0AGD4c/v29JdLBzis7GbNbnZ1lTrM5lM5XWuNEQmvNijajTsE6xOpjGR08Wus4wpT5+MD16+pCeBMnap0mWzCmdaN69eqv/Py8xeL48eNcvHiRnDlzYm9vj729Pc7Ozjx9+pRL/5kT/v79+wA4OLx5oo8OHTokHMfe3p69e/cmuV9MTAwjRoxgypQpWFgk3U6gKAoDBgzA19cXR0fHZL/e1JAWCyFMXL9+MHs2XL2qrm3Rr5/WibKeO4/v0GFtBwyKgW7lu9GlfBetI4lMQKfTMdlrMtUXVWfp8aX0r95fCk5hvOBg+PFHdXvhQnhLt5bMzs7SjqihSX97nhHnTq6iRYui0+k4e/Zsqs4ZFRVFxYoVWb58+SuP5c2bN2H78uXLWFlZkT9//jce77vvvsPLyyvh547PZ2p5ydSpUylevDjNmzd/bbeqZcuWER0dzZdffsmECROS83JSTQoLIUxcjhwwerQ6kci4cdC1K2TQFxPZwjPDMz5Z9wnh0eGUyVeG2U1nax1JZCLVClSjdcnWrDuzjmE7h7Gx/UatIwlTEh0Nz6cB7dkTPvhA2zxpQKfTJbs7kpacnZ1p1KgR/v7+9O3b95VxFo8ePUoYZ3Hw4EE6d+6c8NjBgwepUKECAO+//z4BAQHky5fvja0Ru3fvpkaNGpibm78xl6urK56engk/29ravrLPnTt3mDNnDrt3737tcWJiYhg+fDizZ8/G0tLyjedMS9IVSogsoHt3KF4c7t+HqVO1TpO1jAkeQ/DVYOyt7Fnjvcaob8RE9jDxg4mY68zZdG4Tf17/U+s4wpQMHQqXL4O7O0yZonWabMff3x+9Xk+VKlVYu3YtFy5c4MyZM3z//feJuj8FBgayePFizp8/j6+vL4cOHaJ3796A2qKQJ08eWrRowd69e7ly5QrBwcH07duXmzdvotfr2bNnDytWrKB169aEhoYSGhrKgwcPAAgPD09R7latWiUUN0lZsWIFRYoUSTRbVEaQwkKILMDCAvz81O3vvoM7d7TNk1X8cfEPJuxVm4/nfzif4nmKa5xIZEbF8xRPmHZ48PbBRvXdFtlYcDD88IO6vWgRvKXvvUh7hQsX5ujRo9SvX58BAwZQpkwZ/ve//xEUFMScOXMS9hszZgyrVq2ibNmyLFu2jJUrV1KqVCkA7Ozs2LNnD++++y6tW7emZMmSfPbZZzx9+hQHBwdu3LhB3bp1iYmJoW/fvri5ueHm5kabNm0AKF7c+M8Vg8Hw1q5NMTExTJ8+3ehjp5ZOMYHfgJGRkTg6OhIREfHWQS9CZFeKAjVqwMGDaov63LlaJzJtNyNvUmFeBe7F3OPLil8y58M5b3+SyLbuPL6D5w+exMTHsL7delqWaKl1JJGZRUXBe++pg+NM/Bf206dPuXLlCoUKFcqwKU0zkk6nY/369Sn+5v/q1avUq1fvlXUtnnNyckq0loVW3nQdjfk7XFoshMgidLoXLekLF8K5c9rmMWXx+njar2nPvZh7VHCtwHeNv9M6ksjk3HK68W21bwEYGjSUZ4ZnGicSmdrgwWpRUbCg9F/N4szNzRMN4n6Zi4tLBqZJf1JYCJGF1K4NzZuDXq9OPytSZsTOEey7sQ8HawcCvQOxsch638KJtDeoxiBy2+bm7L2zLDm2ROs4IrPasQOed7NZtAhy5tQ2j0hX7u7uHD58+LWPn8ti3wJKYSFEFjNxIpiZwdq1arcoYZzN5zczZb/a9LP4o8UUcS6icSJhKhxtHBlZZyQAvsG+xMTHaJxIZDqRkS9mgfr6a2jQQNs84q0URcnwAdCmTAoLIbKYMmWgy7/LLAwZoo69EMlz7dE1Oq9XpxTsW6UvbUq10TiRMDVfVvoSDycP7kTdYdbBWVrHEZnNwIEvFsKbPFnrNEKkOSkshMiCxowBGxvYswe2bNE6jWmI08fRdk1bHj59SOX8lZnaUPo9C+NZW1gzvv54ACbtm8T9mPsaJxKZxh9/wIIF6vaSJSa/EJ4QSZHCQogsyN0d+vZVt3181DEX4s2GbB/CoVuHcLJxYrX3aqzMrbSOJExUh/c6UM6lHJGxkQnTFYts7tGjF12g+vaFunU1jSNEepHCQogsyscHnJzg1Cn45Ret02Ru686sY+ZfMwH4qeVPeDh5aJpHmDYznRmTvdRuLv6H/bn66Kq2gYT2+veHW7fA01MdCCdEFiWFhRBZVK5cMGyYuj1yJDx9qm2ezOrSg0t039gdgIHVB/JR8Y80TiSygoZFGtKgUAPi9HGM2jVK6zhCS+vXq12fdDr1vzlyaJ1IiHQjhYUQWVifPmq3qBs3YPZsrdNkPk+fPaXtmrZExEZQw70GExvIN4kibeh0OiZ5TQLglxO/cDz0uMaJhCZu34Ye6qrsDB4MtWppm0eIdCaFhRBZmI0NjB2rbk+cCA8fapsns+n/R3+O3jlKbtvcBHwcgKW5pdaRRBZSKX8l2pVuh4KCT5CP1nFERjMY1Cn6HjyA999/8ctYiHQWGRlJ+fLliYqK4ubNm3h6embYuaWwECKL69QJSpdWi4pJk7ROk3msOrWKOX+ri1T93OpnCjgU0DiRyIrGfzAeCzMLtl7cys4rO7WOIzLSrFnqYni2trB8OVjJhBCZTdeuXdHpdAm33Llz07hxY06cOKF1tFRxcHCgVq1aODk54eHhwVdffZVh505RYeHv74+Hhwc2NjZUrVqVQ4cOJet5q1atQqfTyUIjQmQgc/MXBcX338PNm9rmyQzO3TvH579+DsCwWsNoUrSJxolEVuXp7EnPij0BGLJjCIosLJM9HD+uzqAB8N13UKKEtnnEazVu3Jg7d+5w584dgoKCsLCw4MMPP9Q6VqrNnj2b8PBwHjx4wIABAzLsvEYXFgEBAfTv3x9fX1+OHj1KuXLlaNSoEeHh4W983tWrVxk4cCC1a9dOcVghRMo0awZ16qgDuH19tU6jrSfxT2i7pi1RcVHULViXMfXHaB1JZHGj6o7C3sqev2//zZp/1mgdR6S3J0+gY0eIi4OPPoIvvtA6kXgDa2trXF1dcXV1pXz58vj4+HDjxg3u3r3L1atX0el0hISEJPlcJycnli5dmvDzzZs36dChA87OzuTIkYNKlSrx119/JTw+Z84cihQpgpWVFcWLF+fnn39OdDydTseGDRsAdcXvzp07U7ZsWR7+24959OjRlC9fPmH/uLg4PD090el0PHr0CIClS5fi5OQEgLOzMw4ODtSpU+eNryMtGV1YzJgxg88//5xu3bpRqlQp5s6di52dHYsXL37tc/R6PR07dmTMmDEULlw4VYGFEMbT6V4s8rp0KZw+rWkcTfX5vQ8nwk6QL0c+VrRZgYWZhdaRRBaXL0c+BlYfCMCwncOI18drnEikqyFD1F+yLi6wcKH6Czg7URSIjtbmlsoWwaioKH755Rc8PT3JnTu30c+tW7cut27dYtOmTRw/fpzBgwdjMBgAWL9+Pf369WPAgAGcOnWKnj170q1bN3bt2pXk8fr27cv+/fvZtm0buXLlSnKf2bNnExYW9sZc69at49ixY0a9ltQwqrCIi4vjyJEjeHl5vTiAmRleXl4cOHDgtc8bO3Ys+fLl47Pni8MIITJctWrQurU6nvD5NLTZzbLjy1h0bBE6dKxovYL8OfNrHUlkE/2r9ydfjnxcfHCRBUcXaB1HpJfff4cfflC3ly6FvHk1jaOJmBh1VXEtbjExRsfdvHkz9vb22NvbkzNnTjZt2kRAQABmZsZ9975ixQru3r3Lhg0bqFWrFp6enrRt25bq1asDMG3aNLp27crXX39NsWLF6N+/P61bt2batGmvHGvEiBGsX7+eHTt24OrqmuT5Hjx4wPjx4xkyZMhrM8XHxzNkyJA37pPWjPpXu3fvHnq9HhcXl0T3u7i4EBoamuRz/vzzTxYtWsSCBcn/RRobG0tkZGSimxAi9SZOVMdcbNoEf/6pdZqM9c/df/jqN3UAm29dXxoUbqBxIpGd5LTOyag66noWY3aPISouSuNEIs2Fh0O3bup2377QuLG2eUSy1K9fn5CQEEJCQjh06BCNGjWiSZMmXLt2LWGfGjVqkDNnTtzd3WnXrh03kxisGBISQoUKFXB2dk7yPGfOnKFmzZqJ7qtZsyZnzpxJdN/s2bOZMGECxYsXx8PD47W5x44dS/369an1himM/f39cXR0pGPHjq/dJ62l66xQjx8/plOnTixYsIA8efIk+3l+fn44Ojom3Nzd3dMxpRDZR/Hi8LzhcPDgVLcam4zouGi8A72JiY/Bq7AXI+qM0DqSyIa+qPgFns6ehEeHM+PADK3jiLRkMED37hAWpk7Dl52n4LOzg6gobW52dkbHzZEjB56ennh6elK5cmUWLlxIdHR0oi/EAwICOHbsGCtXruTChQt8+eWXrxzH1tY2Vf9szx06dIgtW7Zw6tQp5s2bl+Q+Fy5cYOHChUx+3sc5CQ8fPmTcuHHMmDEDXQZ2xzOqsMiTJw/m5uav9OcKCwtLsqnm0qVLXL16lebNm2NhYYGFhQXLli1j06ZNWFhYcOnSpSTPM3ToUCIiIhJuN27cMCamEOINfH3V2Q8PHICNG7VOk/4UReGr377in7v/4GbvxvLWyzE3M9c6lsiGLM0tmfDBBACm7p9KePSbJz0RJmTGDPjtN7C2hhUr1F+y2ZVOp64ursUtDf6A1ul0mJmZ8eTJk4T73N3d8fT0pFatWnz22WdJDoIuW7YsISEhPHjwIMnjlixZkn379iW6b9++fZQqVSrRfTNnzqRJkyb8+OOPDBo0iOvXr79yrCFDhtCjR483rk8xbtw4ateuTZ06dd70ctOcUYWFlZUVFStWJCgoKOE+g8FAUFBQQh+y/ypRogQnT55MaGIKCQnho48+Smh2el1LhLW1NQ4ODoluQoi0kT8/fPutuj10KDx7pm2e9Lb42GJ+PvEzZjozVn28inw58mkdSWRjH5f6mEr5KxEVF8W43eO0jiPSwv79L6aW/f57KFtW2zzCKLGxsYSGhhIaGsqZM2fo06cPUVFRNG/ePGGfuLg4nj59yrVr11izZg1lypR55TgdOnTA1dWVli1bsm/fPi5fvszatWsTxiAPGjSIpUuXMmfOHC5cuMCMGTNYt24dAwcOTHSc512p2rRpQ9OmTenxfOX2f128eJHg4GBGjRr12tcUExPD/PnzmTJlSor/XVLK6K5Q/fv3Z8GCBfz000+cOXOGr776iujoaLr926+wc+fODB06FAAbGxvKlCmT6Obk5ETOnDkpU6YMVrJYjBCaGDwYcueGs2fV8YVZ1YmwE/T+vTcAEz6YQJ2CGfvNjRAvM9OZMdlL7b4w98hcLj1IuuVemIj796F9e9DroUMH+PxzrRMJI23duhU3Nzfc3NyoWrUqhw8fJjAwkHr16iXsU7VqVWxtbSlfvjz29vZJdlGysrJi27Zt5MuXj6ZNm/Lee+8xadIkzM3VFvKWLVsya9Yspk2bRunSpZk3bx5LlixJdJ6XzZ49m+PHjzN//vyE+6Kjoxk+fPhrx3KAOmi7W7duFCtWzPh/kFTSKSlYrWf27NlMnTqV0NBQypcvz/fff0/VqlUBqFevHh4eHonm9f2vrl278ujRo4R5epMjMjISR0dHIiIipPVCiDQyc6bacpE/P1y4kKKuqZna49jHVFpQifP3z9O0aFN+7fArZrp0HVYmRLI1/qUxf1z6g/Zl2rOyzUqt44iUMBjUdSp++w2KFoUjRyBnTq1TZbinT59y5coVChUqhI2NjdZxRAq96Toa83d4igqLjCaFhRBpLzZWHcx97Zo6W9S/DY1ZgqIofLLuE1adWoW7gzvHeh4jt51xc5ILkZ6Ohx6nwrwKKCj8/fnfVMxfUetIwlhTp6rNv9bW8NdfUK6c1ok0IYVF1pBWhYV8fSdENmVtDePHq9uTJsG9e9rmSUtz/57LqlOrsDCzIODjACkqRKZTzrUcHcuqU0AO2ZFxc8yLNLJ//4tvY77/PtsWFUK8TAoLIbKxTz5RPw8jI8HPT+s0aePonaN888c3AEz2mkx191cnlhAiMxhXfxxW5lYEXQli26VtWscRyXX/PrRrJ+MqhEiCFBZCZGNmZi+mW589G65e1TROqkU8jcA70Js4fRwtirfg22rfah1JiNfycPLg60pfA2qrhUExaJxIvJXBAF26wM2b6riKefPSZIpTIbIKKSyEyOYaNYIPPoC4OHjD7HWZnqIodN/UncsPL+Ph5MGSFksydFEgIVJieJ3hOFg7EBIawqpTq7SOI95mypQX61UEBmbLwdpCvIkUFkJkczrdi1aLX36B48e1zZNS3//1PevOrMPK3IpA70By2ebSOpIQb5XHLg9DaqpjLIbvHE7ss1iNE4nX+uMPGDZM3ZZxFa8wgbmAxBuk1fWTwkIIQeXK0LYtKIppzg71182/GLhdXWRoesPpVMpfSeNEQiRfv6r9cLN34+qjq8z9e67WcURSLl9Wx1MoCvToIeMq/sPS0hJQF2UTpuv59Xt+PVNKppsVQgBw8SKULKmuxL1zJ9Svr3Wi5Hnw5AEV5lXgesR1vEt5E/BxgHSBEiZn/pH59Nzck9y2ubnU9xKONo5aRxLPRUdDjRpw4gRUrQq7d6tdoUSCO3fu8OjRI/Lly4ednZ38DjYhiqIQExNDeHg4Tk5OuLm5vbKPrGMhhEiR3r3B319twfjrr8w/JtGgGGixqgWbz2/G09mTI18cwcFafkcI0/PM8IwyP5bh3P1zjKg9gnEfjNM6kgC1heKTT2DVKnBxURfBe+cdrVNlOoqiEBoayqNHj7SOIlLIyckJV1fXJItCKSyEECkSFgZFiqhf0K1eDd7eWid6s6n7pjJ4x2Csza052OMg5V3Lax1JiBRbf2Y9rVe3xs7Sjot9LuKW89VvDkUGmz4dBg4ECwu1Kbd2ba0TZWp6vZ74+HitYwgjWVpaYm5u/trHpbAQQqTY6NEwZgx4esI//0Aqu1ummz+v/0m9pfXQK3rmfTiPLyp+oXUkIVJFURRqLK7BwZsH6VmxJ3M/lPEWmtqxQ502z2BQ5+Pu1UvrREJoQlbeFkKk2IABkC+fOuZi4UKt0yTtbvRd2q9pj17R0/G9jnz+vgykFKZPp9Mx2WsyAAuPLuTcvXMaJ8rGrl6F9u3VoqJrV/j6a60TCWESpLAQQiSSM+eL9SzGjIGoKG3zvMygGPh0/afcenyLEnlKMPfDuTJQUGQZdQrW4cNiH6JX9AzfOVzrONlTTAy0aqWusF2pEsyZk/kHnAmRSUhhIYR4xeefq2MtwsJgxgyt0yQ2ce9Etl3ahq2FLYHegdhb2WsdSYg05dfADzOdGWvPrOXgzYNax8leDAbo3BlCQiBvXli3DmxstE4lhMmQwkII8QorK5gwQd2eOhXCw7XN89yuK7vwDfYF4MdmP1ImXxmNEwmR9srkK0OXcl0AGLx9sCw8lpGGD4e1a9XBZWvXgru71omEMClSWAghkuTtrfYCiIqC8eO1TgOhUaF0WNsBg2KgW/ludC3fVetIQqSbMfXGYG1uzd7re9lyYYvWcbKHJUtg0iR1e9EimQFKiBSQwkIIkSQzM5isjiNl7ly4dEm7LHqDnk/WfkJYdBhl8pVhdtPZ2oURIgO4O7rTt2pfAHyCfNAb9BonyuKCg+GLf2eWGzECOnXSNI4QpkoKCyHEa33wgTrbYny8+lmrlTG7x7Dr6i5yWOYg0DsQO0s77cIIkUF8avngZOPEqfBT/HLiF63jZF3nz0Pr1vDsGbRrp85aIYRIESkshBBvNGmSOiHKqlXqorMZbdulbYzfo/bFmt98PiXylMj4EEJowNnWmWG1hgEwctdInj57qnGiLOj+ffjwQ3j4EKpVU7tDmcmfRkKklLx7hBBvVL48dOyobvv4ZOy5b0XeouO6jigofPH+F3zy3icZG0AIjfWu0psCDgW4EXmD2YekC2CaiouDNm3gwgUoWBA2bABbW61TCWHSpLAQQrzVuHHqTFE7dsD27RlzzmeGZ7Rf2557Mfco71qeWU1mZcyJhchEbC1tGVtvLKBOtfzwyUONE2URigI9e8Lu3eriPZs3g4uL1qmEMHlSWAgh3srD48XCs0OGqFO9p7cRO0fw5/U/yWmVk0DvQGwsZC55kT11LteZ0nlL8/DpQybvm6x1nKxhxAhYuhTMzSEwEMrI1NVCpAUpLIQQyTJ8uPrF3rFj6niL9PTb+d8S/oBa3GIxns6e6XtCITIxczNzJnmp06DO+msWNyNvapzIxH3/PUycqG7PmaPOUCGESBNSWAghkiVPHrW1AtQiIzY2fc5zPeI6nTd0BqBPlT58XOrj9DmRECakWdFm1H63Nk+fPWV08Git45iuVaugXz91e/x4+PxzbfMIkcVIYSGESLZvvgE3N7h6FebNS/vjx+njaLemHQ+ePKBy/spM/d/UtD+JECZIp9Mx2UttxVsSsoR/7v6jcSITtH07dFa/tKBPHxg2TNs8QmRBUlgIIZItRw4YPVrdHjcOIiPT9vhDdwzl4M2DONk4sdp7NdYW1ml7AiFMWHX36rQq0QqDYmBYkPxRbJTDh6FVK3VRnvbtYeZMdR5tIUSaksJCCGGU7t2hWDG4dw+mpmGDwoazG5hxcAYAP7X8CQ8nj7Q7uBBZhF8DP8x15mw8t5F91/dpHcc0nDsHTZtCdDT873/w00+yVoUQ6UTeWUIIo1hYgJ+fuj1jBty5k/pjXn54ma4bugIwoPoAPir+UeoPKkQWVDxPcT6r8BkAg3cMRlEUjRNlcrdvq4Oz792DSpVg7Vp17mwhRLqQwkIIYbRWrdRFamNiYOzY1B0r9lksbQPbEhEbQfUC1fFr4Jc2IYXIonzr+WJrYcv+G/vZdG6T1nEyr7t3oWFDuHYNihaFLVvUqe2EEOlGCgshhNF0Opj873T6CxbA+fMpP9aAbQM4cucIuW1zE/BxAJbmlmkTUogsKn/O/Hxb7VsAhgYN5ZnhmcaJMqH798HLC06fhvz5Yds2yJtX61RCZHlSWAghUqROHfjwQ9Dr1elnU2L16dX4H/YH4OdWP+Pu6J6GCYXIugbXHExu29ycuXeGpSFLtY6TuTx8qI6lOHECXF1h1y51lU8hRLqTwkIIkWJ+fmrrxZo18Ndfxj33wv0L9NjUA4ChtYbSpGiTdEgoRNbkaOPIiDojAPAN9iUmPkbjRJlERIQ6puLYMciXD3buVGebEEJkiBQVFv7+/nh4eGBjY0PVqlU5dOjQa/ddsGABtWvXJleuXOTKlQsvL6837i+EMB1lykCXLur24MGQ3HGkT+Kf4B3ozeO4x9QpWIex9VM5UEOIbOirSl9R0LEgtx/f5vu/vtc6jvYiI6FxY3Vq2dy5ISgISpbUOpUQ2YrRhUVAQAD9+/fH19eXo0ePUq5cORo1akR4eHiS+wcHB9OhQwd27drFgQMHcHd3p2HDhty6dSvV4YUQ2hs7FqytYc8e+P335D2n39Z+HA87Tl67vKxssxILM4v0DSlEFmRtYc34D8YDMOnPSdyPua9xIg1FRUGzZnDwIOTKBTt2qN98CCEylE4xcq66qlWrUrlyZWbPng2AwWDA3d2dPn364OPj89bn6/V6cuXKxezZs+n8fAXMt4iMjMTR0ZGIiAgcHByMiSuEyACDB6trWrz3ntoDwdz89fv+cuIXOq3vhA4d2zptw6uwV8YFFSKLMSgG3p/3PsfDjtO/Wn+mN5qudaSMFxOjFhXBweDoqLZUVKyodSohsgxj/g43qsUiLi6OI0eO4OX14g8BMzMzvLy8OHDgQLKOERMTQ3x8PM7Ozq/dJzY2lsjIyEQ3IUTm5eMDTk5w8iQsX/76/c7cPUPPzT0BGFV3lBQVQqSSmc6MyV7qFG2zD8/m2qNrGifKYJGR6uJ3wcHqVLLbtklRIYSGjCos7t27h16vx8XFJdH9Li4uhIaGJusYQ4YMIX/+/ImKk5f5+fnh6OiYcHN3l5lihMjMnJ1h6FB1e+RIePr01X2i46LxDvQmJj6GBoUaMLLOyIwNKUQW1bBIQz4o9AFx+jhGBY/SOk7GeT6l7O7dalGxdStUqaJ1KiGytQydFWrSpEmsWrWK9evXY2Nj89r9hg4dSkRERMLtxo0bGZhSCJESffpAgQJw/Tr4+yd+TFEUvt7yNafvnsbV3pXlrZdjbvaG/lJCiGTT6XRMajAJgJ+P/8zx0OMaJ8oAd+5AvXovBmrv2gU1amidSohsz6jCIk+ePJibmxMWFpbo/rCwMFxdXd/43GnTpjFp0iS2bdtG2bJl37ivtbU1Dg4OiW5CiMzN1vbFKtwTJsCjRy8eWxKyhGXHl2GmM2NVm1W42LskeQwhRMpUfqcybUu3RUFhaNBQreOkr6tXoXZtOHVKXfxuzx7p/iREJmFUYWFlZUXFihUJCgpKuM9gMBAUFET16tVf+7wpU6Ywbtw4tm7dSqVKlVKeVgiRqXXuDKVLq+tTTVK/QOVE2Al6bekFwLj646jrUVfDhEJkXRM+mICFmQW/X/ydXVd2aR0nfZw9qxYVly5BoUKwdy+UKqV1KiHEv4zuCtW/f38WLFjATz/9xJkzZ/jqq6+Ijo6mW7duAHTu3JmhQ198WzJ58mRGjhzJ4sWL8fDwIDQ0lNDQUKKiotLuVQghMgVz8xcFxaxZcO7KY7wDvXn67CmNPRvjU+vtM8cJIVLG09mTnhXVyRGG7BiCkZM+Zn7HjkGdOnDzpro+xd69ULiw1qmEEP9hdGHRrl07pk2bxqhRoyhfvjwhISFs3bo1YUD39evXuXPnTsL+c+bMIS4ujo8//hg3N7eE27Rp09LuVQghMo1mzdQvFJ8+VWg65wvO3z9PAYcC/NzqZ8x0GTqsS4hsZ2SdkeSwzMHh24dZ888areOknT17oH59uHtX7fa0Zw+8847WqYQQLzF6HQstyDoWQpiWAwegRt+58OFXWOgs2N1tNzXcZWClEBlhdPBoxuweg6ezJ/98/Q+W5pZaR0qdFSugWzeIi4NatWDzZnW9CiFEhki3dSyEECI5rD2OYta0HwDFb/pJUSFEBhpQfQD5cuTj4oOLLDy6UOs4KacoMH48dOyoFhVt2qjrVEhRIUSmJYWFECJNRTyNwDvQG4NZHJxvzukFA9i3T+tUQmQfOa1zMqqOup7FmN1jiIozwTGN8fHw2WfqwjgAAwfC6tXq9HNCiExLCgshRJpRFIXPNn3G5YeXKehYkC45fwJ0DB6sfvkohMgYn1f8nCK5ihAWHcZ3B77TOo5xHj2CJk1gyRIwM4Mff4SpU9VtIUSmJu9SIUSa+eHQD6w9sxZLM0tWe69m4qhc2NrC/v2waZPW6YTIPqzMrZjwwQQApuyfQnh0uMaJkunaNXUcRVAQ5MgBv/4KX32ldSohRDJJYSGESBOHbh1i4LaBAExrOI0q71Qhf3749lv18aFD4dkzDQMKkc14l/amoltFouKiGL9nvNZx3m7fPqhaFU6fVhe+27sXmjbVOpUQwghSWAghUu3Bkwe0DWxLvCGeNiXb0KdKn4THBg+G3LnhzBlYulS7jEJkN2Y6MyZ7TQZg7t9zufTgksaJXkNR4IcfoF49CAuDsmXhr7+gQgWtkwkhjCSFhRAiVRRFoeuGrlyLuEaRXEVY9NEidDpdwuOOjjBihLrt6wsxMRoFFSIbalC4AY2KNCLeEM/IXSO1jvOqmBjo3Bn69lWbNNu3V/tOFiigdTIhRApIYSGESJXpB6bz6/lfsTa3ZrX3ahxtXp0K8quvoGBBuH0bvv9eg5BCZGOTvCYBsPLUSo7eOapxmv+4fBlq1IBffgFzc5gxQ12zIkcOrZMJIVJICgshRIrtu74Pnx0+AMxsPJP33d5Pcj9ra3U6eoBJk+D+/YxKKIQo71qeju91BGDIjiEap/nX779DpUpw/Djkywc7dqgDsv7T2imEMD1SWAghUuRu9F3arWmHXtHToUwHelbs+cb9P/kEypWDiAiYMCGDQgohABhXfxxW5lbsuLyDbZe2aRdEr4exY6FZM3j4EKpVgyNH1PEVQgiTJ4WFEMJoBsVA5w2dufX4FsVyF2Peh/MSjatIipkZTFbHkeLvr84qKYTIGIVyFeLrSl8D4LPDB4NiyPgQV6+qBYSvrzpg+8svIThYxlMIkYVIYSGEMNqkPyex9eJWbCxsCPQOJKd1zmQ9r2FD+OADiIuDUaPSOaQQIpHhdYaT0yonx0KPEXAqIGNPvny52mT555+QMyf8/DPMmaP2kxRCZBlSWAghjBJ8NThhdpnZTWZT1qVssp+r06ljLED9u+LEifRIKIRISh67PAypqY6xGL5zOHH6uPQ/6aNH0LEjfPopREaqg7WPH1d/FkJkOVJYCCGSLSwqjA5rO2BQDHQp14XuFbobfYzKlaFtW7UnxNCh6RBSCPFa31T7Bld7V648usLcv+em78n27lVbKVasUGd9GjMGdu+GQoXS97xCCM1IYSGESBa9Qc8n6z4hNCqUUnlL4d/U/63jKl5nwgSwsIAtW9Qu1kKIjJHDKgej644GYNyecUTGRqb9SWJi1JUx69WD69ehcGG1C9SoUeobXwiRZUlhIYRIlnF7xrHzyk7sLO1Y472GHFYpn2ve0xN6/juJ1JAhauuFECJjfPb+ZxTLXYx7MfeYtn9a2h582zYoUwamTgWDAbp2hZAQdfYnIUSWJ4WFEOKttl/aztjdYwGY9+E8SuYtmepjjhyproN16BCsXZvqwwkhksnCzAK/Bn6AusBlaFRo6g8aHq6Om2jUCK5cUWd62rgRlixRB2sLIbIFKSyEEG90+/FtOq7riILC5+9/zqdl02bQpYsLDByobg8bBvHxaXJYIUQytCrRiqrvVCUmPoYxwWNSfiBFUYuHkiXVmZ90OujXD/75Bz76KO0CCyFMghQWQojXemZ4Roe1Hbgbc5dyLuWY1XhWmh5/wADImxcuXIBFi9L00EKIN9DpdEz2UheWWXB0Aefvnzf+IP/8Aw0aQPfu8OCBOlD74EGYOVNaKYTIpqSwEEK81qhdo9hzbQ85rXKy2ns1tpa2aXr8nDlfrGcxejRERaXp4YUQb1DXoy7NijZDr+gZvnN48p8YGqoOknrvPdi1C2xtYcoUOHwYqlRJv8BCiExPCgshRJJ+v/A7fn+q/bAXfrSQYrmLpct5vvgCihSBsDD1i04hRMaZ5DUJHTrW/LOGv27+9eado6Nh3Dh19oX589XB2a1awalTMGgQWFpmTGghRKYlhYUQ4hU3Im7w6Xp1LMXXlb6mbem26XYuKyt1+llQv/S8ezfdTiWEeEmZfGXoUr4LAEN2DEFJaoo2vR4WL4ZixdQmxuhotWVi715Yt06dTlYIIZDCQgjxknh9PO3WtOPBkwdUdKvIjEYz0v2c3t5QsSI8fgzjx6f76YQQ/zGm3hisza3ZfW03v1/8/cUDej0EBkKFCvDZZ3D7Nnh4wKpV6liKWrU0yyyEyJyksBBCJDI0aCgHbh7A0dqR1d6rsbawTvdzmpnBZHUcKXPmwOXL6X5KIcS/3nV8lz5V+gDgs8MH/dMnagtFqVLQti2cPAlOTjBtGpw9C+3aqbM/CSHES6SwEEIk2Hh2I9MPTAdgSYslFM6VcV0cGjSAhg3VaWdHjsyw0wohgKG1h+Jm5ki9TSd56lFAbaE4fx5y5VK7P126pE7jZp3+XzQIIUyXFBZCCACuPLxC141dAfi22re0KtkqwzM8b7VYsQKOHs3w0wuRPd2+jfM0fy7OeMb3WyFH2AMUV1d19exr12DMGHB21jqlEMIESGEhhCD2WSzt1rTj0dNHVH2nKpO8JmmSo3x56NhR3fbx0SSCENmDXg9btkDLlvDuuzBqFHaPornmbE7PD2HWin7qCpayHoUQwghSWAghGLR9EIdvH8bZ1pnV3quxMrfSLMu4cepMUdu3qzchRBq6cUNtgShUCJo1g40b1SKjVi1YvpydW+cwvxKMPTSFR08faZ1WCGFipLAQIpv75cQv/HDoBwCWtVzGu47vapqnUCH4+mt128dHnSpfCJEKoaEwb546iMnDQ12N8sYNtXvTt9/C6dPq1LGffELnit0pnbc0D58+ZPKfk7VOLoQwMVJYCJFN6Q16RuwcQaf1nQAYXGMwzYo10ziVavhwtQfG0aOwerXWaYQwQVeuwIwZaktE/vzw5ZdqE6DBAHXrwvLlcOuWuk+pUglPMzczx6+BujDmzL9mcivyllavQAhhglJUWPj7++Ph4YGNjQ1Vq1bl0KFDb9w/MDCQEiVKYGNjw3vvvceWLVtSFFYIkTYePnlI85XNmbBXXZmuX9V+TGgwQeNUL+TJA0OGqNvDh0NcnLZ5hMj0Hj2C335Tm/nef19dtG7AANi3DxRFXdDOz0+d6Sk4GD75BGxskjzUh8U+pNa7tXj67Cm+wb4Z+jKEEKbN6MIiICCA/v374+vry9GjRylXrhyNGjUiPDw8yf33799Phw4d+Oyzzzh27BgtW7akZcuWnDp1KtXhhRDGOxl2ksoLKvP7xd+xtbDll1a/MLPxTCzMLLSOlsg334Cbm7qmxbx5WqcRIpMJC4O1a6FfP3UBO2dn+PBDdWq1Y8fUxWHq1YPvv4fr1+Gvv9Sio2jRtx5ap9Mx2UvtBrUkZAn/3P0nnV+MECKr0CmKohjzhKpVq1K5cmVmz54NgMFgwN3dnT59+uCTxDQu7dq1Izo6ms2bNyfcV61aNcqXL8/cuXOTdc7IyEgcHR2JiIjAwcHBmLhCiP8IOBVA903diYmPwcPJg/Xt1lPetbzWsV5r/nzo2VNtwbh0CeTtL7IVRYHwcPjnn1dvSX2ZV7Qo1K6tdnVq0gTy5k3V6VsHtGb92fW0KN6CDe03pOpYQgjTZczf4UZ9RRkXF8eRI0cYOnRown1mZmZ4eXlx4MCBJJ9z4MAB+vfvn+i+Ro0asWHDBmNOrbmTG+bz9O4drWMIkWLH7hxjw7mN1AUquJVnyHtDcDh6G7itdbTX+swNDueHW7dhWXuoWlXrREKkjE4xgF6PmeEZGPSY6V/81/zJY6wfhWP1KByryLtYPQrHOiIcq4dhWD55/NpjRnq8x4MydXhQpg4PS9cm1tntxYOHU5+5kcVENrKRjec20mfpfPJYFUj9QYUQRqtVshgNKnhqHSNZjCos7t27h16vx8XFJdH9Li4unD17NsnnhIaGJrl/aGjoa88TGxtLbGxsws+RkZHGxEwXhsGDqHxB+xxCpFRl4IuEn0JgegfNsiSXObDg+Q+//3sTIhvRY8ZlCvMPpRLdzlGc6Kv2cBXY/LajpFQJaP4ZVFzA7Gs90+skQoi3aHBxHA0qjNA6RrJkrk7V//Lz82PMmDFax0gkwsONf+KeaR1DiBTT6cxwtXchl00uraMYRUHtIh4dpXUSIVJOQYdeZ4FeZ45eZ4EB84Sfn5jl4KFFPh5a5uPBS/8Ns3In1sw20bHMgJIZlDv+/niuhN/kmdXdDDqjEOJlBQq5vX2nTMKowiJPnjyYm5sTFhaW6P6wsDBcXV2TfI6rq6tR+wMMHTo0UfepyMhI3N3djYma5upsS7pFRgiRvnRAQa1DCJFt5QNkJkchRPIYNSuUlZUVFStWJCgoKOE+g8FAUFAQ1atXT/I51atXT7Q/wPbt21+7P4C1tTUODg6JbkIIIYQQQojMy+iuUP3796dLly5UqlSJKlWqMHPmTKKjo+nWrRsAnTt35p133sHPT11gp1+/ftStW5fp06fTrFkzVq1axd9//838+fPT9pUIIYQQQgghNGN0YdGuXTvu3r3LqFGjCA0NpXz58mzdujVhgPb169cxM3vREFKjRg1WrFjBiBEjGDZsGEWLFmXDhg2UKVMm7V6FEEIIIYQQQlNGr2OhBVnHQgghhBBCiIxnzN/hRq+8LYQQQgghhBAvk8JCCCGEEEIIkWpSWAghhBBCCCFSLVMukPey58NAMsMK3EIIIYQQQmQXz//+Ts6wbJMoLB4/fgyg+SJ5QgghhBBCZEePHz/G0dHxjfuYxKxQBoOB27dvkzNnTnQ6nSYZnq/+fePGDZmZygTJ9TNtcv1Mm1w/0ybXz7TJ9TNdmeXaKYrC48ePyZ8/f6IlJZJiEi0WZmZmFChQQOsYALISuImT62fa5PqZNrl+pk2un2mT62e6MsO1e1tLxXMyeFsIIYQQQgiRalJYCCGEEEIIIVJNCotksra2xtfXF2tra62jiBSQ62fa5PqZNrl+pk2un2mT62e6TPHamcTgbSGEEEIIIUTmJi0WQgghhBBCiFSTwkIIIYQQQgiRalJYCCGEEEIIIVJNCgshhBBCCCFEqklh8R/+/v54eHhgY2ND1apVOXTo0Bv3DwwMpESJEtjY2PDee++xZcuWDEoqkmLM9Vu6dCk6nS7RzcbGJgPTiv/as2cPzZs3J3/+/Oh0OjZs2PDW5wQHB/P+++9jbW2Np6cnS5cuTfec4lXGXrvg4OBX3ns6nY7Q0NCMCSwS8fPzo3LlyuTMmZN8+fLRsmVLzp0799bnyedf5pCS6yeff5nHnDlzKFu2bMICeNWrV+f3339/43My+3tPCot/BQQE0L9/f3x9fTl69CjlypWjUaNGhIeHJ7n//v376dChA5999hnHjh2jZcuWtGzZklOnTmVwcgHGXz9QV7K8c+dOwu3atWsZmFj8V3R0NOXKlcPf3z9Z+1+5coVmzZpRv359QkJC+Oabb+jRowd//PFHOicVLzP22j137ty5RO+/fPnypVNC8Sa7d++mV69eHDx4kO3btxMfH0/Dhg2Jjo5+7XPk8y/zSMn1A/n8yywKFCjApEmTOHLkCH///TcffPABLVq04PTp00nubxLvPUUoiqIoVapUUXr16pXws16vV/Lnz6/4+fkluX/btm2VZs2aJbqvatWqSs+ePdM1p0iasddvyZIliqOjYwalE8YAlPXr179xn8GDByulS5dOdF+7du2URo0apWMy8TbJuXa7du1SAOXhw4cZkkkYJzw8XAGU3bt3v3Yf+fzLvJJz/eTzL3PLlSuXsnDhwiQfM4X3nrRYAHFxcRw5cgQvL6+E+8zMzPDy8uLAgQNJPufAgQOJ9gdo1KjRa/cX6Scl1w8gKiqKggUL4u7u/sZvCETmI+8/01e+fHnc3Nz43//+x759+7SOI/4VEREBgLOz82v3kfdf5pWc6wfy+ZcZ6fV6Vq1aRXR0NNWrV09yH1N470lhAdy7dw+9Xo+Li0ui+11cXF7b7zc0NNSo/UX6Scn1K168OIsXL2bjxo388ssvGAwGatSowc2bNzMiskil173/IiMjefLkiUapRHK4ubkxd+5c1q5dy9q1a3F3d6devXocPXpU62jZnsFg4JtvvqFmzZqUKVPmtfvJ51/mlNzrJ59/mcvJkyext7fH2tqaL7/8kvXr11OqVKkk9zWF956F1gGE0EL16tUTfSNQo0YNSpYsybx58xg3bpyGyYTI2ooXL07x4sUTfq5RowaXLl3iu+++4+eff9YwmejVqxenTp3izz//1DqKSIHkXj/5/MtcihcvTkhICBEREaxZs4YuXbqwe/fu1xYXmZ20WAB58uTB3NycsLCwRPeHhYXh6uqa5HNcXV2N2l+kn5Rcv5dZWlpSoUIFLl68mB4RRRp73fvPwcEBW1tbjVKJlKpSpYq89zTWu3dvNm/ezK5duyhQoMAb95XPv8zHmOv3Mvn805aVlRWenp5UrFgRPz8/ypUrx6xZs5Lc1xTee1JYoF7UihUrEhQUlHCfwWAgKCjotf3cqlevnmh/gO3bt792f5F+UnL9XqbX6zl58iRubm7pFVOkIXn/ZS0hISHy3tOIoij07t2b9evXs3PnTgoVKvTW58j7L/NIyfV7mXz+ZS4Gg4HY2NgkHzOJ957Wo8czi1WrVinW1tbK0qVLlX/++Uf54osvFCcnJyU0NFRRFEXp1KmT4uPjk7D/vn37FAsLC2XatGnKmTNnFF9fX8XS0lI5efKkVi8hWzP2+o0ZM0b5448/lEuXLilHjhxR2rdvr9jY2CinT5/W6iVka48fP1aOHTumHDt2TAGUGTNmKMeOHVOuXbumKIqi+Pj4KJ06dUrY//Lly4qdnZ0yaNAg5cyZM4q/v79ibm6ubN26VauXkG0Ze+2+++47ZcOGDcqFCxeUkydPKv369VPMzMyUHTt2aPUSsrWvvvpKcXR0VIKDg5U7d+4k3GJiYhL2kc+/zCsl108+/zIPHx8fZffu3cqVK1eUEydOKD4+PopOp1O2bdumKIppvveksPiPH374QXn33XcVKysrpUqVKsrBgwcTHqtbt67SpUuXRPuvXr1aKVasmGJlZaWULl1a+e233zI4sfgvY67fN998k7Cvi4uL0rRpU+Xo0aMapBaK8mIK0pdvz69Zly5dlLp1677ynPLlyytWVlZK4cKFlSVLlmR4bmH8tZs8ebJSpEgRxcbGRnF2dlbq1aun7Ny5U5vwIslrByR6P8nnX+aVkusnn3+ZR/fu3ZWCBQsqVlZWSt68eZUGDRokFBWKYprvPZ2iKErGtY8IIYQQQgghsiIZYyGEEEIIIYRINSkshBBCCCGEEKkmhYUQQgghhBAi1aSwEEIIIYQQQqSaFBZCCCGEEEKIVJPCQgghhBBCCJFqUlgIIYQQQgghUk0KCyGEEEIIIUzUnj17aN68Ofnz50en07Fhwwajj6EoCtOmTaNYsWJYW1vzzjvvMGHCBKOPY2H0M4QQQgghhBCZQnR0NOXKlaN79+60bt06Rcfo168f27ZtY9q0abz33ns8ePCABw8eGH0cWXlbCCGEEEKILECn07F+/XpatmyZcF9sbCzDhw9n5cqVPHr0iDJlyjB58mTq1asHwJkzZyhbtiynTp2iePHiqTq/dIUSQgghhBAii+rduzcHDhxg1apVnDhxAm9vbxo3bsyFCxcA+PXXXylcuDCbN2+mUKFCeHh40KNHjxS1WEhhIYQQQgghRBZ0/fp1lixZQmBgILVr16ZIkSIMHDiQWrVqsWTJEgAuX77MtWvXCAwMZNmyZSxdupQjR47w8ccfG30+GWMhhBBCCCFEFnTy5En0ej3FihVLdH9sbCy5c+cGwGAwEBsby7JlyxL2W7RoERUrVuTcuXNGdY+SwkIIIYQQQogsKCoqCnNzc44cOYK5uXmix+zt7QFwc3PDwsIiUfFRsmRJQG3xkMJCCCGEEEKIbK5ChQro9XrCw8OpXbt2kvvUrFmTZ8+ecenSJYoUKQLA+fPnAShYsKBR55NZoYQQQgghhDBRUVFRXLx4EVALiRkzZlC/fn2cnZ159913+fTTT9m3bx/Tp0+nQoUK3L17l6CgIMqWLUuzZs0wGAxUrlwZe3t7Zs6cicFgoFevXjg4OLBt2zajskhhIYQQQgghhIkKDg6mfv36r9zfpUsXli5dSnx8POPHj2fZsmXcunWLPHnyUK1aNcaMGcN7770HwO3bt+nTpw/btm0jR44cNGnShOnTp+Ps7GxUFikshBBCCCGEEKkm080KIYQQQgghUk0KCyGEEEIIIUSqSWEhhBBCCCGESDUpLIQQQgghhBCpJoWFEEIIIYQQItWksBBCCCGEEEKkmhQWQgghhBBCiFSTwkIIIYQQQgiRalJYCCGEEEIIIVJNCgshhBBCCCFEqklhIYQQQgghhEg1KSyEEEIIIYQQqfZ/hrsm6HBFvHcAAAAASUVORK5CYII=",
|
||
"text/plain": [
|
||
"<Figure size 800x900 with 3 Axes>"
|
||
]
|
||
},
|
||
"metadata": {},
|
||
"output_type": "display_data"
|
||
}
|
||
],
|
||
"source": [
|
||
"# Определение диапазонов значений для входных переменных\n",
|
||
"x_high = np.linspace(0, 0.95, 100)\n",
|
||
"x_open = np.linspace(0, 0.95, 100)\n",
|
||
"x_volume = np.linspace(0, 3000000, 100)\n",
|
||
"\n",
|
||
"# Определение функций принадлежности для high\n",
|
||
"high_low = fuzz.trapmf(x_high, [0, 0, 0.1, 0.45])\n",
|
||
"high_medium = fuzz.trimf(x_high, [0.4, 0.5, 0.75])\n",
|
||
"high_high = fuzz.smf(x_high, 0.7, 0.9)\n",
|
||
"\n",
|
||
"# Определение функций принадлежности для Open\n",
|
||
"open_low = fuzz.trapmf(x_open, [0, 0, 0.1, 0.55])\n",
|
||
"open_medium = fuzz.trimf(x_open, [0.4, 0.6, 0.85])\n",
|
||
"open_high = fuzz.smf(x_open, 0.7, 0.9)\n",
|
||
"\n",
|
||
"# Определение функций принадлежности для Value\n",
|
||
"volume_low = fuzz.trapmf(x_volume, [0, 0, 500000, 1000000])\n",
|
||
"volume_medium = fuzz.trimf(x_volume, [800000, 1500000, 2000000])\n",
|
||
"volume_high = fuzz.smf(x_volume, 1800000, 3000000)\n",
|
||
"\n",
|
||
"# Определение нечетких правил\n",
|
||
"fuzzy_rules = [\n",
|
||
" (\"Низкий\", \"Мало\", \"Низкий\"),\n",
|
||
" (\"Низкий\", \"Средне\", \"Средний\"),\n",
|
||
" (\"Низкий\", \"Много\", \"Высокий\"),\n",
|
||
" (\"Средний\", \"Мало\", \"Средний\"),\n",
|
||
" (\"Средний\", \"Средне\", \"Высокий\"),\n",
|
||
" (\"Средний\", \"Много\", \"Высокий\"),\n",
|
||
" (\"Высокий\", \"Мало\", \"Высокий\"),\n",
|
||
" (\"Высокий\", \"Средне\", \"Высокий\"),\n",
|
||
" (\"Высокий\", \"Много\", \"Высокий\")\n",
|
||
"]\n",
|
||
"\n",
|
||
"# Визуализация функций принадлежности\n",
|
||
"fig, (ax0, ax1, ax2) = plt.subplots(nrows=3, figsize=(8, 9))\n",
|
||
"\n",
|
||
"ax0.plot(x_high, high_low, 'b', linewidth=1.5, label='Низкий')\n",
|
||
"ax0.plot(x_high, high_medium, 'g', linewidth=1.5, label='Средний')\n",
|
||
"ax0.plot(x_high, high_high, 'r', linewidth=1.5, label='Высокий')\n",
|
||
"ax0.set_title('Функции принадлежности для Hight')\n",
|
||
"ax0.legend()\n",
|
||
"\n",
|
||
"ax1.plot(x_open, open_low, 'b', linewidth=1.5, label='Мало')\n",
|
||
"ax1.plot(x_open, open_medium, 'g', linewidth=1.5, label='Средне')\n",
|
||
"ax1.plot(x_open, open_high, 'r', linewidth=1.5, label='Много')\n",
|
||
"ax1.set_title('Функции принадлежности для Open')\n",
|
||
"ax1.legend()\n",
|
||
"\n",
|
||
"ax2.plot(x_volume, volume_low, 'b', linewidth=1.5, label='Низкий')\n",
|
||
"ax2.plot(x_volume, volume_medium, 'g', linewidth=1.5, label='Средний')\n",
|
||
"ax2.plot(x_volume, volume_high, 'r', linewidth=1.5, label='Высокий')\n",
|
||
"ax2.set_title('Функции принадлежности для Value')\n",
|
||
"ax2.legend() \n",
|
||
"\n",
|
||
"plt.tight_layout()\n",
|
||
"plt.show()"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "markdown",
|
||
"metadata": {},
|
||
"source": [
|
||
"## База нечётких правил\n",
|
||
"\n",
|
||
"\n",
|
||
"\n",
|
||
"\n",
|
||
"Для оценки качества системы создадим тестовые данные и применим нечеткие правила для получения предсказанных значений. Затем сравним их с реальными значениями."
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "code",
|
||
"execution_count": 115,
|
||
"metadata": {},
|
||
"outputs": [
|
||
{
|
||
"name": "stdout",
|
||
"output_type": "stream",
|
||
"text": [
|
||
"High | Open | Value | Оцененная Value\n",
|
||
"0.347656 | 0.328125 | 224358400 | 464215.53\n",
|
||
"0.367188 | 0.339844 | 58732800 | 470894.11\n",
|
||
"0.367188 | 0.371094 | 34777600 | 470894.11\n",
|
||
"0.644531 | 0.640625 | 11148800 | 1419002.85\n",
|
||
"\n",
|
||
"Средняя абсолютная ошибка (MAE): 81548148.35\n",
|
||
"Среднеквадратичная ошибка (RMSE): 117041311.66\n"
|
||
]
|
||
}
|
||
],
|
||
"source": [
|
||
"# Функция для вычисления нечеткой оценки\n",
|
||
"def fuzzy_inference(high, open):\n",
|
||
" # Определение степени принадлежности\n",
|
||
" high_low_degree = fuzz.interp_membership(x_high, high_low, high)\n",
|
||
" high_medium_degree = fuzz.interp_membership(x_high, high_medium, high)\n",
|
||
" high_high_degree = fuzz.interp_membership(x_high, high_high, high)\n",
|
||
"\n",
|
||
" open_low_degree = fuzz.interp_membership(x_open, open_low, open)\n",
|
||
" open_medium_degree = fuzz.interp_membership(x_open, open_medium, open)\n",
|
||
" open_high_degree = fuzz.interp_membership(x_open, open_high, open)\n",
|
||
"\n",
|
||
" # Применяем правила\n",
|
||
" # Активируем термы выходной переменной с использованием степени принадлежности\n",
|
||
" volume_low_activated = np.fmin(high_low_degree, volume_low)\n",
|
||
" volume_medium_activated = np.fmin(high_medium_degree, volume_medium)\n",
|
||
" volume_high_activated = np.fmin(high_high_degree, volume_high)\n",
|
||
"\n",
|
||
" # Агрегируем все активированные термы\n",
|
||
" aggregated = np.fmax(volume_low_activated, np.fmax(volume_medium_activated, volume_high_activated))\n",
|
||
"\n",
|
||
" # Дефуззификация\n",
|
||
" volume_defuzz = fuzz.defuzz(x_volume, aggregated, 'centroid')\n",
|
||
"\n",
|
||
" return volume_defuzz\n",
|
||
"\n",
|
||
"# Оценка системы на тестовом наборе данных\n",
|
||
"results = []\n",
|
||
"test_data = [\n",
|
||
" (0.347656, 224358400, 0.328125),\n",
|
||
" (0.367188, 58732800, 0.339844),\n",
|
||
" (0.367188, 34777600, 0.371094),\n",
|
||
" (0.644531, 11148800, 0.640625),\n",
|
||
"]\n",
|
||
"for high, actual_volume, open in test_data:\n",
|
||
" inferred_volume = fuzzy_inference(high, open)\n",
|
||
" results.append((high, open, actual_volume, inferred_volume))\n",
|
||
"\n",
|
||
"# Вывод результатов\n",
|
||
"print(\"High | Open | Value | Оцененная Value\")\n",
|
||
"for high, open, actual_volume, inferred_volume in results:\n",
|
||
" print(f\"{high:4} | {open:6} | {actual_volume:15} | {inferred_volume:.2f}\")\n",
|
||
"\n",
|
||
"# Вычисление метрик качества\n",
|
||
"actual_volumes = [actual for _, _, actual, _ in results]\n",
|
||
"inferred_volumes = [inferred for _, _, _, inferred in results]\n",
|
||
"\n",
|
||
"mae = np.mean(np.abs(np.array(actual_volumes) - np.array(inferred_volumes)))\n",
|
||
"rmse = np.sqrt(np.mean((np.array(actual_volumes) - np.array(inferred_volumes)) ** 2))\n",
|
||
"\n",
|
||
"print(f\"\\nСредняя абсолютная ошибка (MAE): {mae:.2f}\")\n",
|
||
"print(f\"Среднеквадратичная ошибка (RMSE): {rmse:.2f}\")"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "markdown",
|
||
"metadata": {},
|
||
"source": [
|
||
"В результате выполнения лабораторной работы была создана нечеткая система, которая позволяет оценивать общую стоимость транзакции на основе открытия акции и количества продаж акций. Система была протестирована на тестовых данных, и были вычислены метрики качества (MAE и RMSE). Полученные результаты указывают на необходимость дальнейшей настройки системы для повышения точности предсказаний."
|
||
]
|
||
}
|
||
],
|
||
"metadata": {
|
||
"kernelspec": {
|
||
"display_name": "aisenv",
|
||
"language": "python",
|
||
"name": "python3"
|
||
},
|
||
"language_info": {
|
||
"codemirror_mode": {
|
||
"name": "ipython",
|
||
"version": 3
|
||
},
|
||
"file_extension": ".py",
|
||
"mimetype": "text/x-python",
|
||
"name": "python",
|
||
"nbconvert_exporter": "python",
|
||
"pygments_lexer": "ipython3",
|
||
"version": "3.12.6"
|
||
}
|
||
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|
||
"nbformat": 4,
|
||
"nbformat_minor": 2
|
||
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|