{ "cells": [ { "cell_type": "markdown", "id": "d8b05cac", "metadata": {}, "source": [ "# Fit polynomials 3\n", "> Stay fit with polynomials plus a tour through named matrices. Part 3. " ] }, { "cell_type": "code", "execution_count": 1, "id": "d2bee436", "metadata": {}, "outputs": [], "source": [ "#hide\n", "import numpy as np\n", "import matplotlib.pyplot as plot\n", "from numpy.random import default_rng\n", "from sklearn.datasets import load_diabetes\n", "import math" ] }, { "cell_type": "markdown", "id": "7e504339", "metadata": {}, "source": [ "## Introduction" ] }, { "cell_type": "markdown", "id": "bc7a02c7", "metadata": {}, "source": [ "This is the third part of 'Fit with polynomials'. Check out [the first part](https://vanderzwaan.dev/2022/02/05/Fit-polynomials-1.html) and [the second part](https://vanderzwaan.dev/2022/05/06/Fit-polynomials-2.html).\n", "\n", "In this post we'll look at the oscillating behaviour. You can see that fitting the Runge function with more sampling points (and higher degree) becomes a better fit in the middle, but oscillates at the ends. This is known as the [Runge's phenomenon](https://en.wikipedia.org/wiki/Runge%27s_phenomenon)." ] }, { "cell_type": "code", "execution_count": 2, "id": "fe9f50a1", "metadata": {}, "outputs": [], "source": [ "# collapse\n", "d = np.linspace(-1, 1, 101)" ] }, { "cell_type": "code", "execution_count": 3, "id": "52037360", "metadata": {}, "outputs": [], "source": [ "#collapse\n", "def interpolate(f, x):\n", " M = np.vander(x, increasing=True)\n", " c = np.linalg.inv(M) @ f(x)\n", " return c" ] }, { "cell_type": "code", "execution_count": 4, "id": "fb5e6472", "metadata": {}, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAABDUAAAJqCAYAAAA7eHv5AAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjUuMSwgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy/YYfK9AAAACXBIWXMAAAsTAAALEwEAmpwYAADqIElEQVR4nOzdd3QUVR/G8e9NDwEChN6L9C4ICCi9iR2VIiAooCKo4IsVFbtiBRUQUASRomIvIEUQpfcivRN6CIGQntz3j1kgVEGSzCZ5Pufs2dmd2Zlnd2Gz+5tbjLUWEREREREREZHMxsftACIiIiIiIiIi/4WKGiIiIiIiIiKSKamoISIiIiIiIiKZkooaIiIiIiIiIpIpqaghIiIiIiIiIpmSihoiIiIiIiIikimpqCEiIiL/yhjTyBizxRgTbYy5PQOPe4MxZlNGHS+9GWNKel5DX7eziIiIZAUqaoiIiLjIGLPTGBPr+aF7wBjzuTEmp9u5LuBl4CNrbU5r7ffpdRBjjDXGXHPqtrV2vrW2YnodL9VxmxpjUjzvw6nLfWl9HGvtbs9rmHwZmUp7Xg+/tM4hIiKSVaioISIi4r5brLU5gVpAbeAZd+NcUClgvdsh0tk+T8Hh1GW824FERETk0lTUEBER8RLW2gPADJzixqnWA3tTb+Np2dHSszzEGPOVMWaCMeaEMWa9MaZuqm2vNcas9Kz72hgz1Rjzaqr1NxtjVhljjhljFhhjalwolzFmG1AW+MnTgiEwdY5UWSZ6lk+1MLjPGLPbGHPEGPNcqm19jTHPGmO2ebItN8aUMMb86dlktec4Hc99DYwxlY0xcz2Z1xtjbk217nNjzMfGmF88+11sjCl35e/Ev/M8v0eNMds9z+9tY4yPZ52PMWawMWaXMeaQ5/0JPee18fPcnmuMecUY87cn8+/GmPyew5x6PY55Xo/rjTHXGGPmGWOiPMedmh7PT0REJLNQUUNERMRLGGOKA+2ArVfwsFuBKUAe4EfgI8++AoDvgM+BfMBk4I5Ux6oNfAY8CIQBnwA/GmMCzz2AtbYcsBtPixJrbfxlZmsMVARaAC8YYyp77h8IdAZuAnID9wMx1tobPetreo5z1g92Y4w/8BPwO1AQ6A98aYxJ3T2lE/ASkBfndXztMrMCFDTGHDTG7DDGvG+MCfmX7e8A6gLXArd5ngdAD8+lGU4xKCee9+UiugA9Pc8pAPif5/5Tr0cez+uxEHgF5/nnBYoDH172sxMREcmCVNQQERFx3/fGmBPAHuAQ8OIVPPYva+2vnjEavgBqeu5vAPgBw621idbab4ElqR7XB/jEWrvYWpvs6WoR73lcWnnJWhtrrV0NrE6VrRcw2Fq7yTpWW2sjLmN/DXAKBG9aaxOstXOAn3EKJKd8Z61dYq1NAr7E0+rlMmz0bFsEaA7UAd77l8e8Za09aq3dDXyQKse9wHvW2u3W2mic7kSdLjE2xjhr7WZrbSzw1b9kTsTpClTUWhtnrf3rX5+ZiIhIFqaihoiIiPtut9bmApoClYD8l978LAdSLccAQZ4fz0WBcGutTbV+T6rlUsATnm4cx4wxx4ASnsellXOznRoAtQSw7T/sryiwx1qbkuq+XUCxyzjmJVlrD1hr/7HWplhrdwBPAh3+5WGpX89dnHntinpup17nBxS6yH6uJPOTgAGWeLrf3H+JbUVERLI8FTVERES8hLV2Hk53kXc8d50Ecpxa75kGtMBl7m4/UMwYY1LdVyLV8h7gNWttnlSXHNbayZe5/7OyAYUv83Gnjv1fxrrYB5Q4NXaFR0kg/D/s699Y/v17UurXsyROPjzXpc5ZlwQc/A8Zzr7DKb70ttYWxek6NCL1bDEiIiLZjYoaIiIi3uUDoJUxpiawGaflRXvPeBKDgfPGvLiIhUAy0M8Y42eMuQ2ol2r9GOAhY0x94wjxHCfXZe5/FU6XCn/P4KR3XebjAMYCrxhjynuOXcMYE+ZZdxBnHIoLWYzTkuFJz3GbArfgjCnyrzyDcg65yLpmxphSnjwlgDeBH/5ll4OMMXk92z8GnBoDZDIwwBhTxjjT874OTPV0ibkSh4EUUr0expi7PWOvAETiFD5SLvBYERGRbEFFDRERES9irT0MTABesNZGAX1xigDhOK0j9l7i4an3kwDcCTwAHAO64ow/Ee9ZvwzojTOAZSTOoJo9riDq8zitLSJxBuacdAWPfQ9n7IjfgePAp0CwZ90QYLynS8w9F3hOt+AMpnoEGAF0t9ZuvMzjlgD+vsi62sACnNd4AbAWePRf9vcDsBynwPOL53mAMwDrFzizl+wA4nAGNb0i1toYnIFO//a8Hg2A64DFxphonIFhH7PWbr/SfYuIiGQV5uyutiIiIpJVGWMWA6OstePczpLRPK0bvrLWNkyj/VmgvLX2SmaqERERkTSmlhoiIiJZlDGmiTGmsKf7yX1ADWC627ncYK3dm1YFDREREfEeF5taTERERDK/ijjdPEKA7cBd1tr97kYSERERSTvqfiIiIiIiIiIimZK6n4iIiIiIiIhIpqSihoiIiIiIiIhkSl47pkb+/Plt6dKl3Y4hIiIiIiIiIi5bvnz5EWttgXPv99qiRunSpVm2bJnbMURERERERETEZcaYXRe6X91PRERERERERCRTUlFDRERERERERDIlFTVEREREREREJFNSUUNEREREREREMiUVNUREREREREQkU1JRQ0REREREREQypTQpahhjPjPGHDLGrLvIemOMGW6M2WqMWWOMuTYtjisiIiIiIiIi2ZdfGu3nc+AjYMJF1rcDynsu9YGRnmsRERGRC/p+ZThvz9jEvmOxFM0TzKA2Fbm9djG3Y4mIiIgXSZOWGtbaP4Gjl9jkNmCCdSwC8hhjiqTFsUVERCTr+X5lOM98u5bwY7FYIPxYLM98u5bvV4a7HU1ERES8SFq11Pg3xYA9qW7v9dy3P4OOLyIiIi5ISE4gIjaCI7FHnEuccx0RG0FUfBTxyfEkJCc410mxxMcfJz7hJJExJ8hXOpEUY/GxBqwfKdafN5cHM3VPQQL8cxDoG0igbyABvgHkCshF/uD8Z13CgsMICwojh38Ot18GERERSScZVdS4LMaYPkAfgJIlS7qcRkRERP6NtZaDMQfZeXwnO6J2sCNqBzujdnIw5iBHYo9wPOH4BR8XGpCbPD4BBCYnE5gUT0BiLLkSYgizlkBr8bE+xKTkJMbmINDEEeITjTFJxBtDfHg4Cf5BnPQPJtI/iDgfX06QwtH4Y1jseccK8Q8hLCiMAjkKUDp3acqElnEuuctQNGdRfH180/tlEhERkXSSUUWNcKBEqtvFPfedxVo7GhgNULdu3fO/lYiIiIgrrLWER4ezPmL9meLF8Z3sjNpJTFLM6e1C/EMonbs05fKUo17heue3nvAPIWzd9/j/NQxijwIG8pWFQjWhUDUoVBUKVaXxJ9vYGxWfOgEFiKJxrgOMauoHB9c7l8MbICURfANJqns/x+rdzxGTcro1yKkWIhGxERyIOcAfe/5g2pZpp/fq7+NPqdylKBNa5nTBo1K+SpQNLatih4iISCaQUUWNH4F+xpgpOAOERllr1fVERETES0UnRLMuYh1rDq9h7eG1rDmyhqNxZ4bPKhpSlNKhpbmj/B2Uye20fCgdWpoCwQUwxpy/w6QEWDkB/nwHTuyHcs2h8QAoei0E5jxv8/+1DeCZb9cSm5jsuccQ7R9Gk5uaQurBQpMSnMLG4tH4LfmE/CsmkP/6vnB9PwjOc8Hndizu2JmWJcedAs2WyC3M2T2HZOscL8Q/hGph1ahRoAbV81eneoHq5A/O/x9fTREREUkvxtqrbxBhjJkMNAXyAweBFwF/AGvtKON8u/kIaAvEAD2ttcsutc+6devaZcsuuYmIiIikAWstO47vYMXBFU4R48hath3bdrorR+ncpalRoAY18tegWoFqlMld5vLHqUhJhjVTYe4bcGw3lLwemj8PpRv960OvePaTw5th7uuw/jsICoVGj0H9hyAg5LKiJiYnsvvEbtZHrGfN4TWsObyGLZFbSLJJABTLWYzq+atTo0ANahesTeV8ldWaQ0REJIMYY5Zba+ued39aFDXSg4oaIiIi6ed4wnEW71/M3+F/s2DfAvafdBpQhgaGUiN/DaoXqO4UMfJXIzQw9MoPkJICG36AP16HI5uhSE1o/gJc0wIu1JIjLe1fA3+8BpunQ0gBuOEJqNMT/IOueFexSbFsiNjA2iNrWX14NWuPrOXAyQOA81pdX+R6GhZtSMOiDSkUUiitn4mIiIh4qKghIiKSjSWnJLMuYh0Lwhfw976/WXtkLSk2hRD/EOoXrk+jYo2oX6Q+JXOVvHD3kSuxbQ7MfBEOrIH8FaH5c1D51vQvZpxrzxKY/TLsnA+5i0PTp6F216vOcSjmEEsPLGXBvgUs2LeAI7FHALgmzzU0LNqQRkUbUadwHQJ9A9PiWYiIiAgqaoiIiGQ7sUmxzN87n5m7ZrJg3wKOJxzHYKgaVpWGxZwf39ULVMffxz9tDpiS4nQz+XMo5C0NTZ+B6neD2100ts+F2a9A+DKocjvcPuKyu6T8G2stmyM3s2CfUyxacXAFiSmJBPoGUrdwXVqWbEmLki3IG5Q3TY4nIiKSXamoISIikg3EJcXxV/hfzNg5g3l75xGbFEu+oHzcUOwGGhVrRIMiDdLnB3ZcFHzbx+nyUbsr3PTuf+rukW6shQUfwqwXoUBl6PQl5CuT5oeJSYxh2cFlLNi3gD/3/smeE3vwNb7UL1KfNqXb0KJki//WnUdERCSbU1FDREQki4pPjufv8L+ZsXMGc/fMJSYphryBeWlZqiVtSrehTqE6+Pmk44RnhzfDlC4QuQPavgnX9cr4riaXa+ts+OZ+Z/nucc4sLOnEWsvGoxuZsXMGM3bOYG/0XvyMHw2KNqBN6TY0K9FMBQ4REZHLpKKGiIhIFpJiU1i0fxE/bfuJP/b8wcnEk4QGhtKypFPIuK7wdelbyDhl028wrTf4BcI9Ey5rVhPXHd0OU+6Fwxuh1cvO9K/pXISx1vLP0X+YsXMGv+/8nfDocPx8/GhYtCHty7SnRakWGoNDRETkElTUEBERyQIOxRzi+63f8+2WbwmPDidXQK7ThYx6Reql3fgY/yYlBea/48wyUqSW050jtHjGHDstxEfD9w/Dhh+dcT9uGQ4BlzlN7VWy1rLuyDqnBceuGRw4eYDQwFBuKXsLd1W4i3J5ymVIDhERkcxERQ0REZFMKiklib/D/+abLd8wf+98km0y9QrXo0P5Du6c4Y8/Ad89BBt/hhqd4JYPwD84YzOkBWth/rsw51UoXN0pzOQpmaERTrW4mbZ5GnP2zCEpJYlaBWrRoUIH2pRuQ7BfJnxdRURE0oGKGiIiIpnMvuh9fLvlW77b+h2HYg4RFhTGbdfcRofyHSiZO2N/fJ8Wsc0ZP+PIFmjzGtR/yHvHz7hcm3+Hab3A1w/u/hzK3OhKjIjYCH7a9hPTtkxj5/Gd5PTPSfuy7elQvgOVwyq7kklERMRbqKghIiKSCVhrWXxgMRPWT+Cv8L8AaFisIXeVv4smJZpkXPeSC9m1ECZ3BOPr/Pgv28S9LGntyFanWBOxFW4ZBtd2cy2KtZblB5czbcs0Zu6aSXxyPFXDqtKtSjdal27t7r8BERERl6ioISIi4sUSUxKZvmM6E/6ZwMajGwkLCuPuindzxzV3UDRnUbfjwe5FMLED5CoCXadB3lJuJ0p7ccfh6x6wbQ7c+qGrhY1TouKj+Hn7z0zZOIWdx3dSOKQwXSt3pUP5DuQMyOl2PBERkQyjooaIiIgXOpFwgm82f8OXG77kYMxByoaW5b6q99G+bHvvmQ1jzxL44g7IVRh6/OJcZ1WJcTClM2z7A277GGrf63YiwBl7Y/7e+Xy+/nOWHVxGTv+c3FXhLu6tfC+FQ7Lw+yEiIuKhooaIiIgX2Re9j4kbJvLtlm85mXiS+oXr071qdxoXa4yP8XE73hl7ljoFjZwFnYJG7iJuJ0p/ibEwuTNsnwu3j4Rand1OdJb1R9Yzfv14ft/1OwZDmzJtuK/KfRp3Q0REsjQVNURERLzAlsgtjFk7ht93/g5A2zJt6V6lO1XCqric7AL2LocvboeQ/J6Chhd0g8koibEwuRNsnwd3fAI1O7qd6DynCmPTNk8jJimG+oXr06tGL+oXro/J7IO3ioiInENFDRERERdtP7adkatHMmPnDHL45+DuCnd7d9eB8OUw4Q7IkRd6/AqhxdxOlPESYpyBUXf+BXeMhhp3u53ogo4nHGfa5mlM3DCRQzGHqFOoDo/UeoTrCl/ndjQREZE0o6KGiIiIC3ZE7WDU6lH8tuM3gvyC6Fq5K92rdCdPUB63o13cvpUw4TYIyuO00MhTwu1E7kk4CZM6wq6/4c4xUP0utxNdVHxyPNM2T2Ps2rEcjj1MvcL16FurL3UK1XE7moiIyFVTUUNERCQD7T6+m0/WfMLP238m0DeQzpU606NqD/IG5XU72qXtW+UpaOT2FDRKup3IfQkn4cu7YfdC6DAWqnVwO9ElxSXF8c3mbxi7diwRcRE0KNKAR2o9Qq2CtdyOJiIi8p+pqCEiIpIB9pzYw+g1o/lp20/4+/jTsWJHelbrSVhwmNvR/t3+1TD+VgjMDT1+zprTtv5X8dFOYWPPYrjrU6h6h9uJ/lVsUixfbfqKz9Z9xtG4ozQq1ohHaj5C9QLV3Y4mIiJyxVTUEBERSUcRsRGMWDWCb7d8i4/x4Z6K9/BA9QfIH5zf7WiX58BaGH8LBOT0FDRKu53I+8RHw5d3OVPc3j0OqtzmdqLLEpMYw5RNUxi3bhzH4o/RtHhTBtQdQNnQsm5HExERuWwqaoiIiKSDuKQ4Jm6YyNi1Y4lPiqdDhQ70qdGHgjkKuh3t8kXuhLGtwNff6XKSr4zbibxX/AmY2AHCV0C3b6HMjW4numwnE08yacMkPlv3GbFJsdxV4S761upLvqB8bkcTERH5VypqiIiIpKEUm8KvO35l+Irh7D+5n6YlmjKwzkDKhGaygkDMUfi0NZw8DA/8DgUqup3I+8Ueg8/awvFwuH86FKrqdqIrcjTuKCNWjeCbzd8Q7BdMr+q96FqlK4G+gW5HExERuSgVNURERNLI8oPLeWfpO6yLWEflfJUZdN2gzDl9ZmKsMyjovlXQ/Qcodb3biTKPqL0wtiVgoNesTDnl7fZj23lv+XvM2zuPoiFFeezax2hXph3GGLejiYiInEdFDRERkau0+/hu3l/+PrN2z6JgjoI8du1j3Fz2ZnyMj9vRrlxKMnx9H2z4Ge7+HKre7naizOfAOqfFRp4STouNoFC3E/0ni/cv5p1l77Dx6EZq5K/BoOsGaaYUERHxOipqiIiI/EfRCdGMWD2CyRsn4+/jzwPVHqB71e4E+wW7He2/sRZ+ewqWfAJt34QGD7udKPPaPtcZY6Pk9dB1Gvhlzi4cySnJ/LT9Jz5c8SGHYg/RqlQrBtUdRJGcRdyOJiIiAqioISIicsWstUzfOZ23l77Nkdgj3Fn+TvrV7pd5ZjS5mAUfwu+D4fp+0OY1t9Nkfqunwnd9oNpdcOcY8MmELXc8YhJjGP/PeMatGwfAgzUepHuV7vj7+rucTEREsjsVNURERK7AjqgdvLb4NRbvX0yVsCq80OAFqubPXANCXtDab2DaA1D1DujwWab+Ae5V5r8Hs1+CRo9Dq5fcTnPV9kfv562lbzF792zKhpZlcIPBmXPcGBERyTIuVtRIk28yxpi2xphNxpitxpinL7C+pDHmD2PMSmPMGmPMTWlxXBERkbQWmxTL8BXDufPHO/nnyD88V/85Jt00KWsUNHbMh+8fhlKN4PZRKmikpcYDoO4D8PcHsGSM22muWpGcRfig2Qd81Pwj4pPjuX/G/Twz/xmOxB5xO5qIiMhZrrqlhjHGF9gMtAL2AkuBztbaf1JtMxpYaa0daYypAvxqrS19qf2qpYaIiGS0eXvm8caSNwiPDueWsrcwsO7AzN/V5JSD/ziDWuYqDA/MgOC8bifKelKSYWpX2PQbdJwIlW92O1GaiE2KZezasXy27jOCfYPpf21/7qlwD74+vm5HExGRbCQ9W2rUA7Zaa7dbaxOAKcBt52xjgdye5VBgXxocV0REJE3si97Ho3Mepd+cfgT6BvJZm894/YbXs05B4/g++PIu8A+Grt+ooJFefHyhw6dQrI7TxWfPErcTpYlgv2D61+7Pt7d+S5X8VXh98et0+bUL646sczuaiIhImhQ1igF7Ut3e67kvtSFAV2PMXuBXoH8aHFdEROSqJKckM379eG7/4XYW7V/EgDoD+OaWb7LW2AFxx+HLuyEuCu79GvKUdDtR1haQA7pMhdxFYVJHiNjmdqI0Uya0DGNajWHojUM5FHOILr904fXFrxOTGON2NBERycYyqjNtZ+Bza21x4CbgC2PMecc2xvQxxiwzxiw7fPhwBkUTEZHsaPux7XSf3p13lr1DvcL1+P6277m/2v1Za5aH5CT45n44tAHumQBFaridKHsIye9M72qMU1CKOep2ojRjjKFdmXb8ePuPdK7UmSkbp3Dnj3eyaP8it6OJiEg2lRZFjXCgRKrbxT33pfYA8BWAtXYhEASc16bXWjvaWlvXWlu3QIECaRBNRETkbEkpSYxdO5a7frqLXcd38cYNb/Bh8w8pmrOo29HS3oxnYetMaP8OXNPC7TTZS76y0GkSRO2Br7pDUoLbidJUroBcPFP/GT5v+zn+Pv70/r03Ly18iRMJJ9yOJiIi2UxaFDWWAuWNMWWMMQFAJ+DHc7bZDbQAMMZUxilqqCmGiIhkqE1HN3Hvr/cybMUwmpZoyve3fc/NZW/GGON2tLS3ZAws+QSu7wd173c7TfZUsgHc9jHsnA+/DICrHJzdG11b6Fq+vuVrelbtybdbvuWOH+5g/t75bscSEZFs5KqLGtbaJKAfMAPYAHxlrV1vjHnZGHOrZ7MngN7GmNXAZKCHvdppV0RERC5TYnIiI1eNpNMvnThw8gDvNnmX95q+l3UGAj3Xllnw25NQ8SZo9bLbabK3GvdAk6dg5UT4e5jbadJFkF8QA+sOZGK7ieT0z0nf2X157q/niIqPcjuaiIhkA1c9pWt60ZSuIiKSFtZHrOeFv19gc+Rm2pdtz1PXPUXeoCw8+8fBf+DT1pCvNPScDoE53U4k1jqzoaybBvd8AVVu/ffHZFIJyQl8suYTPl37KXmD8vJ8g+dpXrK527FERCQLSM8pXUVERLxOYnIiw1cM595f7iUyLpLhzYbz5g1vZu2CRvQhZ8aNgBDoPFUFDW9hDNw2AopfB9/2gfAVbidKNwG+AfSv3Z/J7ScTFhTGY388xpN/PqlWGyIikm5U1BARkSxnR9QOuv7WlTFrx3Bz2Zv5/vbvaVaymdux0ldiLEzuDCcPQ5cpEHru7OriKv8gZ+DQkALO+xR17pjqWUvlsMpMvnkyj9R6hJk7Z9Lhxw4s3r/Y7VgiIpIFqaghIiJZhrWWrzZ9xT0/3cO+6H180PQDXm38KrkDcrsdLX2lpMD3fSF8OXQYA0Vru51ILiRnQegyFRJOwuSOEB/tdqJ05e/jz0M1H2Ji+4kE+wXT+/fevLvsXRKSs9ZMMCIi4i4VNUREJEs4EnuEfnP68cqiV7i20LVMu3UaLUplk2lM574B67+FlkOg8i1up5FLKVQF7v4cDq6Hab0gJdntROmualhVvrrlK+6peA+fr/+czr90ZkvkFrdjiYhIFqGihoiIZHpz98ylw48dWLRvEU/Xe5qRLUdSMEdBt2NljNVT4c+hULsrNHrM7TRyOcq3hHZDYfNvMPMFt9NkiGC/YAY3GMzHLT7mSOwROv3ciYn/TCTFprgdTUREMjkVNUREJNOKSYzh5YUv039OfwoEF2DqzVO5t/K9+Jhs8udt10L4sR+UvgHav+8MSCmZQ73eUO9BWPgRLPvM7TQZ5sbiN/Ltrd/SsGhD3lr6Fg/NfIhDMYfcjiUiIplYNvnWJyIiWc36I+vp+HNHvtn8DT2r9WRS+0lck/cat2NlnIhtMKUL5CkJ90wAvwC3E8mVavM6lG8Nv/wPts52O02GCQsOY3jz4bxw/QusOryKO3+8k1m7ZrkdS0REMikVNUREJFNJsSl8vu5zuv7aldikWMa2HsvAOgMJ8M1GP+pjjsKke5zlLl9Bjnzu5pH/xtcP7voMClaGr3vAwX/cTpRhjDHcXeFuvrr5K0rkLMGAuQN4aeFLxCXFuR1NREQyGRU1REQk0zgWd4z+c/rz7vJ3aVqiKdNunUa9IvXcjpWxkhLgq+5wbLczRWhYObcTydUIzOXMiOKfAyZ1hOjs1RWjdGhpJtw0gV7Ve/HN5m/o8msXtkdtdzuWiIhkIipqiIhIprDy0Eru+ukuFu5byLP1n+W9pu8RGhjqdqyMZS389BjsnA+3fQylrnc7kaSF0OLQZQrEHIHJnSAhxu1EGcrfx5/Hrn2MUS1HcSTGGUT0p20/uR1LREQyCRU1RETEq6XYFMauHUvP6T0J8A1g4k0T6VypMyY7Doo5/x1YPQmaPgM17nE7jaSlorWhw1gIXwHfPQgp2W9WkEbFGvH1LV9TJawKz/71LM///TyxSbFuxxIRES+nooaIiHito3FH6Tu7L8NWDKNlqZZ8dfNXVAmr4nYsd6ybBnNehRodoclTbqeR9FCpPbR+FTb8CLNfcjuNKwqFFGJs67H0qdGHH7b+QOefO7Pt2Da3Y4mIiBdTUUNERLzSsgPLuPvHu1m6fynPN3iet298m5wBOd2O5Y7di+G7h6FkQ7j1Q03dmpVd/wjUvR/+/gCWj3c7jSv8fPzoX7s/o1qNIjI+kk4/d+L7rd+7HUtERLyUihoiIuJVUmwKo9eM5oHfHyDYP5gv23/JPRXvyZ7dTQCO7oApnSG0GHT6EvwC3U4k6ckYaPc2lGsBvwyE7XPdTuSahkUb8s0t31CjQA2e//t5nvvrOWISs9d4IyIi8u9U1BAREa8RFR9F39l9+XDlh7Qp3YapN0+lUr5KbsdyT2ykM3WrTYEuX2vq1uzC1w/u/hzyV4Cp3eHQRrcTuaZAjgKMbjWah2s+zE/bfqLzL53ZEbXD7VgiIuJFVNQQERGvsCFiAx1/7siS/Ut4vsHzvHXDW4T4h7gdyz2npm49ugM6fgn5r3E7kWSkoNzOVK9+gTDpbog+7HYi1/j6+NK3Vl9Gtx5NZFwknX/pzOxds92OJSIiXkJFDRERcd2P236k22/dSEpJYnzb8dm7uwk4U7f+MgB2/OmMoVG6kduJxA15SjpTvUYfdrogZbOpXs/VoEgDpt48lTK5y/D43McZtmIYySnJbscSERGXqaghIiKuSUxO5NVFr/LcX89Rs0BNpt48leoFqrsdy31z34CVE+HGJ6FWZ7fTiJuK1YEOY2DvMpjWC5KT3E7kqiI5i/B5u8/pUL4DY9eO5eFZDxMZF+l2LBERcZGKGiIi4oqDJw/Sc0ZPpm6aSo+qPfik1SeEBYe5Hct9yz6DeW9B7a7Q7Fm304g3qHwLtBsKm36BX//ntOTJxgJ9AxnScAhDrh/CsoPL6PRzJ9ZHrHc7loiIuERFDRERyXDLDiyj488d2Ry5mXeavMMTdZ/Az8fP7Vju2/gL/PIElG8NN3+gqVvljPp9oPEAWD4O/nzb7TReoUOFDkxoN4EUUuj+a3e+2/Kd25FERMQFKmqIiEiGsdbyxT9f0Ov3XuQKyMXk9pNpU7qN27G8w+7F8M39ULS2M/OFr7/bicTbtHgRanaGP16DFRPcTuMVquWvxtSbp1K7UG1eWPACLy98mYTkBLdjiYhIBlJRQ0REMkRsUixPz3+aoUuH0rREUya3n0y5POXcjuUdDm+GyR0hdzHo8hUEZONZX+TijHEGji3XAn56HDbPcDuRV8gXlI9RLUdxf7X7+Xrz1/Sc3pNDMYfcjiUiIhlERQ0REUl3B04eoMf0Hvy24zceu/Yx3m/6PjkDcrodyzsc3w8T7wQff+g6DULyu51IvJmvP9wzAQpXh6/ucwYQFfx8/BhQZwDvN32fLce20OnnTqw9vNbtWCIikgFU1BARkXS1+vBqOv3ciV3Hd/Fh8w/pVb1X9p6uNbW4KPjyLoiNhHu/hnxl3E4kmUFgTuffS65C8OXdcGSr24m8RstSLZl400QCfAPoMb0HP2//2e1IIiKSzlTUEBGRdPPD1h/oOb0nOfxz8OVNX9KkRBO3I3mPpHiYci8c3uiceS9ay+1EkpnkLAhdv3W6pEy8A04cdDuR16iQtwKT20+mRoEaPDP/Gd5f/j7JKcluxxIRkXSSJkUNY0xbY8wmY8xWY8zTF9nmHmPMP8aY9caYSWlxXBER8U7JKcm8s/QdBv89mGsLXsukmyZp/IzUUlLgu4dg53y47WO4poXbiSQzCisHXb6Gk0ecFj9xx91O5DXyBuVldKvR3F3hbj5b9xmP/fEY0QnRbscSEZF0cNVFDWOML/Ax0A6oAnQ2xlQ5Z5vywDNAI2ttVeDxqz2uiIh4pxMJJ3hkziOM/2c8nSt1ZmSrkeQJyuN2LO8y83lY/y20HAI1O7mdRjKz4nWclj4H18NX3SBJM3+c4u/rzwvXv8Bz9Z/jr/C/6PprV/Yc3+N2LBERSWNp0VKjHrDVWrvdWpsATAFuO2eb3sDH1tpIAGuthqQWEcmCdkbtpMsvXVi8bzEvXP8Cz9Z/Fn8fTU16lj/fgYUfQb0HodHjbqeRrKB8K2dWlO1z4bs+oK4WZ+lUqROftPqEI3FH6PRLJxbvX+x2JBERSUNpUdQoBqQue+/13JdaBaCCMeZvY8wiY0zbNDiuiIh4kQXhC+jyaxei4qMY03oMd1e42+1I3mfhCJjzClS/B9q+4YyHIJIWat8LrV+F9d/BD/2cLk5yWv0i9Zl802QKBBfgwZkPMnnjZKy1bscSEZE0kFEDhfoB5YGmQGdgjDEmz7kbGWP6GGOWGWOWHT58OIOiiYjI1Zq8cTIPz36YwiGFmXzzZOoWrut2JO+zbBzMeAYq3wq3jwQfX7cTSVbTsD80fRZWT4JfnwD9aD9LidwlmHjTRG4odgOvL36d1xa/RlJKktuxRETkKqVFUSMcKJHqdnHPfantBX601iZaa3cAm3GKHGex1o621ta11tYtUKBAGkQTEZH0lJySzJtL3uT1xa9zY7EbmdhuIsVynttYT1g9FX4eAOVbQ4dPwdfP7USSVTV5Eho9Bss+g98Hq7BxjpwBOfmg2Qf0rNaTqZum0m92Pw0gKiKSyaVFUWMpUN4YU8YYEwB0An48Z5vvcVppYIzJj9MdZXsaHFtERFwSkxjDY388xpcbvqRblW580OwDcvjncDuW91n/PXz/EJS5wRnQ0S/A7USSlRkDLV+Cen2csVvmvuF2Iq/j6+PLwDoDefH6F1m8fzHdfuvGvuh9bscSEZH/6KqLGtbaJKAfMAPYAHxlrV1vjHnZGHOrZ7MZQIQx5h/gD2CQtTbiao8tIiLuOHDyAPdNv4/54fMZXH8wT173JL7qTnG+zTNg2gNQ/DroNBn8g91OJNmBMdD2LajdFea9BX+973Yir3RXhbsY0XIEB08epMsvXVh3ZJ3bkURE5D8w3jpIUt26de2yZcvcjiEiIufYELGBfrP7cTLpJO80eYfGxRq7Hck7bZ8LX94DBSvDfT9CUKjbiSS7SUmGb/vAum+g3VCo/6DbibzStmPbeGT2I0TERvDGDW/QslRLtyOJiMgFGGOWW2vPG7gtowYKFRGRLGDunrncN/0+fHx8mNBuggoaF7N7EUzuDGHloNt3KmiIO3x84Y5RUOlm+O1JWDHB7UReqVyecnx505dUyFeBAXMHMG7dOM2MIiKSiaioISIi/8payxf/fMGjcx6lbGhZJt00iQp5K7gdyzuFr4CJd0HuotD9B8iRz+1Ekp35+sNdn8E1LeHHR2HN124n8kphwWF82vpT2pRuw3vL3+OlhS+RmJLodiwREbkMGn5dREQuKSkliTeXvMnUTVNpUbIFrzd+XQOCXsyBdTDxTqeQ0f1HyFnQ7UQi4BcI93wBk+6B7x50ble59d8fl80E+QUx9MahlMxVkjFrxxAeHc67Td8ld0But6OJiMglqKWGiIhcVExiDI/OeZSpm6bSo2oP3mv6ngoaF7NvJYy/GfyCnTE0QjW1rXiRgBzQeTIUqwPf9IR109xO5JV8jA+PXvsoLzd8mWUHltH91+7sj97vdiwREbkEFTVEROSCjsQeoeeMnvy972+eb/A8T9R9Ah+jPxsXtHsRjL8VAnNBz18hb2m3E4mcLzAXdJ0GxevBtF6w8ku3E3mtO8rfwSetPuFQzCHu/fVeNh7d6HYkERG5CH07FRGR8+yI2kHXX7uyI2oHw5sN556K97gdyXttnwtf3OF0Nen5G+Qr43YikYsLyu0UNso0gR/6wpIxbifyWvWK1OPzdp/jY3zoMb0HC/YtcDuSiIhcgIoaIiJyllWHVtH9t+7EJsXyaetPaVKiiduRvNfmGc60rXlLQ49fIbS424lE/l1ADug8BSreBL/+D/4e5nYir1UhbwUm3jSRojmL8sisR/hp209uRxIRkXOoqCEiIqfN3jWbXr/3IndAbia2m0j1AtXdjuS91n8PU+6FgpWhxy+Qq5DbiUQun38Q3DMBqt4JM1+AP94ATWN6QYVDCjO+7XjqFKrDs389y5g1YzTlq4iIF1FRQ0REAJi0YRID5g6gYt6KfHHTF5TIXcLtSN5r9RRnsMVidZxBQTVtq2RGvv7QYSzU6grz3oSZz6uwcRG5AnIxsuVI2pdtz/CVw3ll0SskpSS5HUtERNCUriIi2V6KTeGD5R8wbv04mpZoytAbhxLsF+x2LO+17DP4eSCUudGZTSIgxO1EIv+djy/c+iH4B8OCDyExFtq9DT4673Uuf19/Xm/8OoVzFObTdZ9yKOYQQ28cqhmhRERcpr9YIiLZWEJyAk/Pf5px68fRsWJHPmj6gQoal7LwY/h5AJRvDV2+UkFDsgYfH7jpbWj0GCwdCz88AslqhXAhPsaHx+s8znP1n2N++Hx6/d6LiNgIt2OJiGRrKmqIiGRTJxJO8NCsh/htx288du1jPFf/OXx9fN2O5Z2shXlDYcazUOV26DjRGZNAJKswBlq+BM2eg9WT4NtekJTgdiqv1alSJ95v+j5bIrfQ9deu7D6+2+1IIiLZlooaIiLZ0OGYw/Sc3pOVB1fyeuPX6VW9F8YYt2N5p+Qk+Plx+OM1qNkZOnwKfgFupxJJe8ZAkyeh9auw/juYeCfERrqdyms1L9mcsW3GEp0YTbffuvFPxD9uRxIRyZZU1BARyWZ2Hd9Ft9+6sfvEbj5u8TG3lLvF7UjeK+44TLoHln8ONzwBt40AXw1HJVlcw/5w5xjYsxg+bQ2RO91O5LVqFqjJ+HbjCfQN5P4Z97N4/2K3I4mIZDsqaoiIZCPrI9bT/bfuxCTG8GnrT2lYrKHbkbxXVDiMawfb58Itw6HFCxo8UbKPGvdAt+8g+hCMbQl7l7udyGuVDS3LF+2+oEhIER6e9TAzds5wO5KISLaib2ciItnEwn0LuX/6/QT5BjG+3XiqF6judiTvtX8NjG0Bkbvg3q+hzn1uJxLJeKUbwwMzwT8HfN4eNvzsdiKvVSikEJ+3/Zxq+asxaN4gpmyc4nYkEZFsQ0UNEZFsYPrO6fSd3ZeiOYsyod0EyoSWcTuS99oy02mhYXzggRlwTQu3E4m4p0AF6DUbClWFqV1h4Qhn4Fw5T2hgKJ+0+oQmxZvw2uLX+GjlR1i9ViIi6U5FDRGRLG7Shkk8Oe9JauSvwedtP6dQSCG3I3mvpZ/CpI6Qr+yZH3Ii2V3OAtDjZ6h8C8x4Bn57ElKS3U7llYL9gnm/2fvccc0dfLLmE15e9DLJeq1ERNKVRjsTEcmirLV8tOojRq8ZTdMSTXn7xrcJ8tM0pBeUkgKzXoQFw6F8G7jrMwjM6XYqEe/hHwx3j4dZL8CCD+HYHrjrUwgIcTuZ1/Hz8eOlhi8RFhzG2LVjiYyL5K0b3yLQN9DtaCIiWZJaaoiIZEFJKUm8tPAlRq8ZzZ3l7+T9pu+roHExibHwTU+noFH3Aeg0SQUNkQvx8XGme73pHdgyw+mmdXy/26m8kjGGx659jKeue4rZu2fz0MyHOJFwwu1YIiJZkooaIiJZTEJyAoPmDWLalmn0rt6bIdcPwc9HDfMu6OgO+LQV/POD82Ot/buaslXk39TrDZ2nwJGtMLoJ7FrgdiKv1bVKV9684U1WHVpFz+k9ORJ7xO1IIiJZjooaIiJZyMnEk/Sd3ZdZu2fx5HVP8ui1j2KMcTuWd9o03flBdmw3dJkKDfuDXiuRy1OhDfSaBQE54fObYeHHGkD0ItqXbc9HLT5i94nd3PfbfYRHh7sdSUQkS1FRQ0QkizgWd4zev/dm2YFlvNb4NbpV6eZ2JO+UkgxzXoXJHSFPSegzz/mBJiJXplAV6PMHVGwHM551unHFq4vFhTQq1ojRrUYTGR9J99+6s+3YNrcjiYhkGSpqiIhkAQdPHqTH9B5sOrqJ95q+x63lbnU7knc6GQFf3gV/vg21usIDMyGfprcV+c+CQqHjRGj5ktONa0wLOLzJ7VReqVbBWoxrM47klGR6TO/BuiPr3I4kIpIlqKghIpLJ7T6+m/um38f+k/sZ2XIkzUs2dzuSdwpf7nQ32fkX3DIMbvvImdFBRK6OMdD4cej2PcREwJjmsP47t1N5pYr5KvJFuy8I8Q/hgRkPsHj/YrcjiYhkeipqiIhkYpuObqL7b905mXiSz9p8Rr0i9dyO5H2shWWfwWdtAQP3z4A6PTR+hkhaK9sEHvwTClaGr3vA9GchOdHtVF6nRO4STGg3gaI5i/LwrIeZvXu225FERDK1NClqGGPaGmM2GWO2GmOevsR2HYwx1hhTNy2OKyKSna08tJKe03vi5+PH+LbjqZq/qtuRvE9iLHzfF34eAKVvgAfnQbFr3U4lknWFFoMev0K9B2HRxzD+FjhxwO1UXqdgjoJ83vZzKuerzMC5A/l+6/duRxIRybSuuqhhjPEFPgbaAVWAzsaYKhfYLhfwGKB2diIiV+mv8L/o83sf8gXnY0K7CZTNU9btSN7nwDqnf//qSdDkKbj3a8iRz+1UIlmfXwDcNBTuHAv7V8Ooxs5sQ3KW0MBQxrQeQ73C9Xj+7+f54p8v3I4kIpIppUVLjXrAVmvtdmttAjAFuO0C270CvAXEpcExRUSyrek7ptN/Tn9Kh5ZmfNvxFM1Z1O1I3iUlGf76AEY3hZOH4d5p0OxZ8PF1O5lI9lLjbug1G0IKOrMN/fQYxEe7ncqr5PDPwcctPqZVqVYMXTqUD1d+iNXUuCIiVyQtihrFgD2pbu/13HeaMeZaoIS19pdL7cgY08cYs8wYs+zw4cNpEE1EJGuZtnkaT/75JDXy1+CzNp8RFhzmdiTvErkTPr8ZZr0IFdtC30VQvqXbqUSyr1PTvjZ8FJaPd1pt7Faj3dQCfAN4+8a3ubP8nYxeM5o3l7xJik1xO5aISKaR7gOFGmN8gPeAJ/5tW2vtaGttXWtt3QIFCqR3NBGRTGXC+gkMWTiEhsUaMqrVKHIF5HI7kvewFlZOhJGN4MBauH0U3PMFhKjoI+I6v0Bo/Qr0+MVpSTWuLcx+BZIS3E7mNXx9fBly/RC6VenGpI2TeOHvF0hKSXI7lohIpuCXBvsIB0qkul3cc98puYBqwFzjjDRfGPjRGHOrtXZZGhxfRCRLs9YyavUoRqweQatSrXjrhrfw9/V3O5b3OHnEada+8Wco1RjuGAl5SrqdSkTOVboRPPw3TH8a5r8DW2fCHaOhYCW3k3kFYwyD6g4il38uRqweQUxSjD7vRUQuQ1q01FgKlDfGlDHGBACdgB9PrbTWRllr81trS1trSwOLABU0REQug7WWd5a9w4jVI7it3G0MvXGovuCmtmk6jGgAW36H1q/CfT+poCHizYJyw+0joONEiNoLn9wIi0ZCirpbgFPYeLjWwwyqO4iZu2bS/4/+xCbFuh1LRMSrXXVRw1qbBPQDZgAbgK+steuNMS8bY2692v2LiGRXySnJvLTwJSb8M4EulbrwcqOX8fNJiwZ2WUBcFPz4qDP4YM7C0GcuNOwPPuneq1JE0kLlW+DhhVCumdNy44vbIXKX26m8Rveq3Rly/RAWhC/g4VkPE52gAVZFRC7GeOsIy3Xr1rXLlqkxh4hkT4kpiTw3/zl+2/kbvav3pn/t/ni68GVv1sK6aTDjWWdmk4b9odlzTp99Ecl8rIUV42H6s2BToOlTcH0/UIs0wJnt6pn5z1AxX0VGtRxFnqA8bkcSEXGNMWa5tbbuuffrlJaIiJeJT45n4B8D+W3nbwyoM4BHr31UBQ2AiG0w8U6Y9gDkLgq950Crl1XQEMnMjIE6PaDfErimBcwaAqNugF0L3U7mFdqWacuw5sPYErmFnjN6cjhGswOKiJxLRQ0RES8SkxjDI7MeYd7eeQyuP5j7q93vdiT3JcXDvKEw4nrYsxTavQ29ZkPR2m4nE5G0ElocOn0JnSZDQrQzQ8oP/SDmqNvJXHdj8RsZ2XIk+6L3cd/0+wiPDv/3B4mIZCMqaoiIeImo+Ch6z+zNsoPLeK3xa3Ss1NHtSO7bPs+ZpvWP16BSe+i3FOr3AR9ft5OJSHqodBM8shgaPQarJ8OHdWDll043lWysXpF6jGk9hqj4KO777T52RO1wO5KIiNdQUUNExAtExEbwwIwH2BCxgXebvMst5W5xO5K7og/Dt31gwq2Qkghdp8Hd4yB3EbeTiUh6CwhxupY9+CfkLw8/9IXP28OhjW4nc1WNAjX4rM1nJKYk0mN6DzYd3eR2JBERr6CihoiIyw7FHKLnjJ7sOr6LD5t/SItSLdyO5J6kBFg8Gj6qA+u+hRsHQd9FcE1Lt5OJSEYrVBV6TodbhsPB9TCqEfz+PMQeczuZayrmq8jnbT/Hz8eP+2fcz7oj69yOJCLiOhU1RERcFB4dzn2/3cfBkwcZ2XIkjYo1cjuSO6yFf36AEfXht0FQpCY8vACaDwb/YLfTiYhbfHygzn3QfznU6AgLhsPw2rBopFMEzYbKhJZhfNvx5ArIRa/fe7Hi4Aq3I4mIuEpFDRERl+yM2kmP6T2ISohiTOsx1C183gxV2cPuxfBpa/iqO/gGQpevofuPUKCC28lExFuE5IfbRzhdUgpXh+lPw8fXOS26suF4G8VzFWd82/EUzFGQB2c+yIJ9C9yOJCLiGhU1RERcsCVyCz2m9yAhOYFxbcZRo0ANtyNlvCNbYWpX+Kw1HNsNt34ID/0FFVo70zyKiJyrSE3o/gPcOw38Q+CbnjC2BezKfj/qC4UUYlybcZTMXZJ+s/sxd89ctyOJiLhCRQ0RkQy2PmI9PWf0xNf4Mq7NOCrmq+h2pIwVfRh++Z/T1WTbH9DsOXh0BVzbHXz93E4nIt7OGCjfEh6aD7d9DMf3wbh2MLkLHN7sdroMFRYcxmdtPqNi3ooM+GMA03dMdzuSiEiGM9ZLm+zVrVvXLlu2zO0YIiJpauWhlfSd1ZfQwFDGtB5DiVwl3I6UceKiYPEn8PdwSIyBOj2g6dOQs6DbyUQkM0uIgUUj4K8PnM+Wa7vDjf+D0OJuJ8sw0QnRPDL7EVYdXsVLDV/i9mtudzuSiEiaM8Yst9ae119bRQ0RkQyyaP8iHp3zKIVyFGJM6zEUDinsdqSMEXMUFo9yLnFRULE9tByiMTNEJG1FH4Y/h8KyzwADtbrADQMhb2m3k2WI2KRYHv/jcRbsW8Bz9Z+jU6VObkcSEUlTKmqIiLjoz71/MuCPAZTMXZIxrceQPzi/25HS38kjsPAjWDIWEk5ApZudKVqL1nI7mYhkZcd2O602Vn4BKcnOrCk3PAH5r3E7WbpLSE7giXlPMHfPXAbWGUjPaj3djiQikmZU1BARccnMXTN58s8nqZC3Ap+0/IQ8QXncjpS+ThyABR86Z0sTY6HqHU5T8EJV3U4mItnJ8X1Od7fl4yA5Aare6XwWFazsdrJ0lZiSyHPzn+O3nb/Rt2ZfHqr5EEaDL4tIFnCxooZGZBMRSUc/b/+ZwX8Npnr+6oxoOYJcAbncjpR+ovbC38Ng+XhISYLqdztnR9XNRETckLsotHvT6YKy4ENY+imsmwZVbnVajRWu7nbCdOHv488bN7xBgG8AI1aPIDY5lgHXDlBhQ0SyLBU1RETSybTN03hp4UvULVyXj5p/RA7/HG5HSh/7VsKiUc6PBSzU7Oz8iMhX1u1kIiLOYMStX4FGjzsDii4ZDf/8AOVaQIO+UK45+GStCQF9fXx5udHLBPkFMW7dOOKS4ni63tP4mKz1PEVEQEUNEZF08eWGL3lzyZs0KtaID5p+QJBfkNuR0lZyEmz82Rn8c/dC8A+Buj2hYX/IU9LtdCIi5wsJgxbPO59TS8bA0jHwZQcIKw/1H3QKsoE53U6ZZnyMD8/Vf45A30Am/DOBhOQEnm/wPL4+vm5HExFJUxpTQ0QkjX227jPeX/4+zUo0450m7xDgG+B2pLQTcxRWTIClYyFqD+Qp5fwYqN0VgkLdTicicvmSEmD9d7B4pNPiLDAUru0G9fpA3lJup0sz1lo+WvURo9eMpn3Z9rza6FX8fHReU0QyH42pISKSzqy1jFw9kpGrR9K2dFtev+F1/H383Y6VNg5tdFplrJ4CSbFQ+gZo9xZUaAs66ycimZFfANTsCDXugT1LnOLGopFOF5VK7aH+w1CqIWTysSiMMfSv3Z8g3yCGrxxOQnICb93wFv6+WeTvk4hkeypqiIikAWst7694n3HrxnFbudt4qeFLmb+Jb2IcbPgJVk6AHX+CbyDUuNv5ol+4mtvpRETShjFQsr5zidrrtERb/rnz+VeoGlzb3Rn4OEc+t5Neld41ehPkF8TQpUOJT47nvabvEegb6HYsEZGrpu4nIiJXKcWm8OaSN5m8cTIdK3bk2frPZu7B2PavhhVfwNqvIC7KGSPj2u5QpyeE5Hc7nYhI+kuIcT4Dl42D/aucom7lm6F2NyjTJFMPLPrVpq94ZdErNCjSgGHNhmXdQaxFJMu5WPcTFTVERK5Cckoyryx6hWlbptGtSjcG1R2UOafNi42Etd8442UcWOP5An+L07+89I2Z+gu8iMhV2b8GVn4Ba76CuGNOobdWV6jVBfKUcDvdf/LD1h94YcEL1CpQi49bfEzOgKwzQKqIZF0qaoiIpLGklCQG/z2YX7b/Qu/qvelfu3/mKmikJMPOv5wv6xt+gqQ4KFwdaneH6ndl+qbWIiJpKjHOmfVpxQTYMQ8wUK6Z03qjYjvwD3Y74RWZvnM6z/z5DJXDKjOy5UhCAzXYs4h4NxU1RETSUGJyIk/Nf4qZu2bSv3Z/+tTo43aky2Mt7F0G66Y5o/5HH3BG/K9xt/PFvGgttxOKiHi/yJ2w8ktY9SUcD4eAXM7gotXvgrJNIZMMwjln9xz+N+9/lMtTjk9afUK+IBWzRcR7qaghIpJG4pPjeWLuE8zbO49BdQfRvWp3tyNdmrVwcJ1TyFg3DY7tdrqXlG8F1e6EijdlujOMIiJeISXZGUh53TdOi7e4KAjOC1Vug2odoFQjr58h6u/wv3nsj8conrM4Y1qPoUCOAm5HEhG5IBU1RETSQExiDI/98RiL9i/i+QbPc0/Fe9yOdHFHtpwpZBzZDMbXaSpdrYNzRjFITY1FRNJMUjxsm+N85m78FRJPQs7CUPUO53O3eF2vnR526YGlPDL7EQrmKMjY1mMpHFLY7UgiIudJ16KGMaYtMAzwBcZaa988Z/1AoBeQBBwG7rfW7rrUPlXUEBFvczLxJH1n9WXV4VW83PBlbrvmNrcjnS0lBfathE2/OF+oD28AjHOmsHoHqHwbhIS5nVJEJOtLOAmbZzgFji0zITkechdzxt6oeBOUvgH8AtxOeZZVh1bx8KyHCQ0MZUzrMZTIlTkHQRWRrCvdihrGGF9gM9AK2AssBTpba/9JtU0zYLG1NsYY8zDQ1Frb8VL7VVFDRLzJ8YTjPDzzYdZHrOfNG96kbZm2bkdyJMU7TZ83/gKbfnPGyDC+UKqh0xqjym2Qu6jbKUVEsq+4KKfQvPFn2DobkmIhMDdc09L5nC7fymtazq2PWM+DMx8k0DeQsa3HUia0jNuRREROS8+ixvXAEGttG8/tZwCstW9cZPvawEfW2kaX2q+KGiLiLSLjInlw5oNsObaFd5q8Q4uSLdwNFHPUOfO36RfnC3JCNPiHwDUtPF+QW2vmEhERb5QYC9vnOoXozdPh5GHw8YPSjaFie6clh8vTxG46uok+M/tgMIxpPYbyecu7mkdE5JT0LGrcBbS11vby3O4G1LfW9rvI9h8BB6y1r15qvypqiIg3OBJ7hN6/92bPiT180OwDGhdrnPEhkpMgfJlTwNg2B/atAJsCOQt5mjK3hzI3gn9QxmcTEZH/JiXZmY3qVJfBiC3O/fkrOkXqcs2d7oMBOTI82vao7fSe0ZuElAQ+afUJVcKqZHgGEZFzeUVRwxjTFegHNLHWxl9gfR+gD0DJkiXr7Np1yWE3RETS1YGTB+j9e28Oxhzkw+YfUr9I/Yw7eOQu2OYpYmz/E+KjwPhAsTrOF93yraHoteDjk3GZREQk/RzZ4rTe2DYHdv7tjMPhGwilrnc+98u1gEJVM2yw0T3H9/DA7w8QnRDNyFYjqVmgZoYcV0TkYlzvfmKMaQl8iFPQOPRv+1VLDRFx054Te+j9e2+i4qMY0XIEtQvWTt8DnoyAXX/DzvnOF9qIrc79uYvDNc2dL7RlmqhbiYhIdpAY6/xN2DrH+ZtweINzf85CZ/4elG4EeUqma4z90ft54PcHiIiN4KMWH3Fd4evS9XgiIpeSnkUNP5yBQlsA4TgDhXax1q5PtU1t4BucFh1bLme/KmqIiFu2R22n9++9iU+O55OWn1A1f9W0P8jJI7DzL08h4y845Blb2S/Y6VtdrrnT/Dh/Ba+dAlBERDJIVLhT3Ng2B7b/AbGRzv15SkKpxs7fjdKNIE+pNP+bcSjmEL1/7014dDjDmg2jUbFLDosnIpJu0ntK15uAD3CmdP3MWvuaMeZlYJm19kdjzCygOrDf85Dd1tpbL7VPFTVExA2nBkgDGNN6DBXyVkibHZ84ALsXOgWMnX/B4Y3O/f45oER9zxfSxk6XEi+b5k9ERLxISopTCN/5F+z6y+mqEnvUWRdawhmHo3RjZxasfGXTpMhxNO4oD858kG3HtvFOk3doXrL5Ve9TRORKpWtRIz2oqCEiGW39kfX0mdmHIL+gq5vKLjkRDqyBPUth7xLnOmq3s84/BEo2SFXEqA2+/mn3JEREJHtJSXEK5aeLHH9BTISzLkcYFK8HJa5zrotdCwEh/+kwUfFR9J3Vl/UR63njhjdoV6ZdGj4JEZF/p6KGiMglrDy0kr6z+hIaGMrY1mMpnqv45T/4xEHYe6qAsQT2rYSkOGdd7mJQ/DooUc9pkVGkpooYIiKSfqx1ihy7Fzl/m/YsOTOzivF1BhstUe9MsSNvmctuzXEy8SSPzH6EFQdX8FLDl7ij/B3p+ERERM6mooaIyEUs2r+IR+c8SqEchRjTegyFQwpffOPow7B/lVO42LcS9q2CE/ucdT7+TtGiRL0zhYzQKyiOiIiIpIeYo870sXsWOwX48BWQEO2sC8oDRWs5LQeLeK7zlLxooSM2KZbH/3icBfsW8Gz9Z+lcqXNGPQsRyeZU1BAR8fh+ZThvz9jEvmOxFCi0ncSwcZQOLcWY1mPIH5z/zIYnDsKBtbDfU7zYtwqO7z2zPqy88+WvaC0oVtcpaPgHZfCzERERuUIpyc64HHuXev6+rXRupyQ564PznV3oKFLjrEFIE5ITeGLeE8zdM5c2hR9g4coa7DsWS9E8wQxqU5Hbaxdz6YmJSFZ2saKGnxthRETc8v3KcJ75di2xicn45VpLTN4pmNjC3F+sJ/k3z3KKGAfXwcH1cPLwmQfmK+eMhXHqS17hGhCU27XnISIi8p/5+ELh6s7llMQ4OLT+TCvEfavgrw/AJjvrA3I5XVcKVyOgUDXeK9eF+6ISmXHgU+L9WmJpQfixWJ75di2AChsikmHUUkNEso+UFO56cyq5orfhn3sFiwpvoUIcfHJgH2F4zk75BkLBSlCo+ukvbxSuAcF5XI0uIiKS4RJjnSL/gTWea0/RP+GEsxrDoLCizM7tS7WjhQk93IAttgSJuUvz5zOtXQ4vIlmNup+ISPaRkgLHdsLhTc5gaYc2OtdHNkNiDF/lysmrYXmpGZfMvfvysyOlFBtSSjH88W4Qdg34qhGbiIjIBaWkODN6HVjHexO/o6LPTv4ssJ9fQ33pePwEz0ZEkmR9CShYAQpUhAKVnJMFBSo5rR41bbmI/EfqfiIiWU/MUYjY5ozqHrEVjmxxbh/ddmb2EYBcRZ0vVHV60H3TVlbm2QgnyjM/vDvzrTMTSbE8wc42IiIicnE+PpC3NOQtzbRcOQg/Fgv7LCGJPzM1/9/Ms5XoGlWY+/LFOy08/vkB8JxENb7OY/OXd04inLrkLw85C132LCwiIqmpqCEi3i3mKETugKM7zlyfKmDEHj2znY+f80UprDyUa+Y5O1QZClSAoFCstYxYPYKVB38m5URNTu69B/AFINjfl0FtKrry9ERERDKrQW0qnh6n6uThmwlICeFAwd/5tURpOt86mgDfAKcLy5EtZ1pPRnhOQGyfe/YJiICcEFbO+TueryzkK+NMN5uvjAoeInJJ6n4iIu5KToLj4XBs9/nFi8gdEBd19vY5C3vO6pw6w+M525O3FPj6X/AQ1lreXvY2X/zzBXdccwe1gnvx7u9bNVK7iIjIVUo9o1jRPME0rrOBX/eNolHRRrzf7H2C/YIv/MCUFOfv/6kix+kWl1sgai/YlDPb+ufwtA7xFDnylnau85R2pk7XzGMi2YLG1BARdyQnwvF9TtHiQpfj4WdGVgenxUVoibPP0KT+EhMQcmWHT0nmlUWvMG3LNO6tfC9PXvckPsYnbZ+jiIiInPbdlu94ccGL1C5Ym49bfEzOgJxXtoOkhIuf7IjceXYLD3BOeOQpeeFLaHHwv0hhRUQyFRU1RCTtpaTAyUMQFQ5Re5wCRVQ4HN/ruW8vRB/kdF9aAAzkLnqBLx0lnKJFaIk0G6gzMSWR5/56jt92/Ebv6r3pX7s/Rs1XRURE0t30HdN5Zv4zVMxXkVEtR5EnKE/a7DglBaIPOEWOqD2ekyS7zpwsidoLKUlnPyZHGOQu5hQ4cheD0GLO941Ty7mKXLS1p4h4DxU1ROTKJJyE4/vhxL5zrj2X4/udLxXnfnHwz3HmS0Lu4s4XiNBiZ4oXuYtnyMjn8cnx/G/e/5i7Zy6PX/s4D1R/IN2PKSIiImfM2zOPgXMHUjJ3Sca0HkP+4Pzpf9CUZDhx4EyxI2qvc0l94uXcrq0YyFkQchV2BhfPXSTVdRHnZEyuwhCUR2N7iLhIRQ0Rcf7Qxxx1Wk+kvpw46BQoog85XwSiD0JC9PmPD8zt+YN/6g+85/r0mY/iEJzX9T/4MYkxPPrHoyzev5jn6j9Hp0qdXM0jIiKSXS3ev5j+c/pTILgAY1qPoWjOom5HgvgTqVqW7nW6yR7f5zlxc8BZTj0Y+Sl+QU7xI2fhM0WQs5YLOcshBdTyQyQdqKghkhVZ67SoiDkCJyM814edS/Rhp2tI9CE4ecRZjok4e+CtUwJyQa5Cnj/GnkuuQk7RIvUZisBcGf8cr9DxhOP0m92P1YdX80qjV7i13K1uRxIREcnWVh9ezcOzHibEP4QxrcZQOrS025H+XWJcqtap+zwnfc45ARR9EGIjL/z44LxOcSOkIOQscP5yjvwQkt/pGhMU6voJIZHMQEUNkcwgMc45MxBz1HMdkWr5qFOciIk4u4hx7mBZpwTkdP5YhhT0nDU4Zzln4TOFjCscfNNbHYk9wkMzH2Jb1DaG3jiUVqVauR1JREREgI1HN/LgzAcB+KTVJ1TKV8nlRGkkKd4pdEQfdIodJw95TiwdPn/5vG4vHj7+TnEjRxiEhJ1d8AjOBzk8l9PLYU53XxVCJJtRUUMko5xqPRF3zPnjFRuZ6nLsnNupLjFHIfHkxffrH3LOH7r8F7h96lIgyxQqLte+6H30/r03h2MP80HTD2hYrKHbkURERCSVnVE76T2zN9EJ0Xzc4mOuLXSt25EyVlL8mdazp1vYHkl1HZHqdgTEX6QIAuAbeKbQEZwXgvN4ri90yeOMBxKcx2md66NZ4CRzUlFD5HKdLkpEQfxx5zrOcx0fdfbtuCineBF77MxyXNT5g2em5uN3kT84F6nEn1r2C8ygFyDz2X5sO71n9iY2KZYRLUZQq2AttyOJiIjIBRw4eYDev/fmwMkDvNf0PW4ofoPbkbxXcpLn5Ne5rXdTL0d6voumOkmWHH/xfRofZ4y0oNAzxY7Ty6EQGOpcB3m2ObXtqdsqioiLVNSQrC850Rn4KSEa4qM9yyec69O3o51CRfwJpzARfyLV5fiZdRcadyI13wDnQ/68PwZ5zv7DEJTn/OJFQIiaC6ah9RHreXjmw/gYHz5p9QkV81V0O5KIiIhcQkRsBA/PepgtkVt444Y3aFumrduRspbE2PNbBMdFnX0S7rzlY85346TYf99/QC5nnLWg3M51YC7ne/FZ17kgMKdzHZDqdkBOzzY5dcJOrtjFihp+boSRbM5aZxyIhBinu0VCjNMyIiEaEk8tp7oknnSKEqe2SfAsx0effftiY0ucyy/4zIftqQ/jkDJnPoRP3XdWdTr07Nv+Qen7GsllWXpgKf3n9CdPYB5GtxpNydwl3Y4kIiIi/yIsOIxP23xKv9n9ePLPJzmecJx7Kt7jdqyswz/YueT+DzPNJCWkaql8TqvlU8unTgbGpTpRGLX3zPKlulOn5uN/ptARkNM58Xfu7YCQVMs5ziz7n1rO4bntWe8XrJYk2ZCKGmno+5XhvD1jE/uOxVI0TzCD2lTk9trF3I51ZU4VHBJjnUtSnFNoSDx1HetUcBNjPQUHz/KpdYmp7ks46SlSpCpeJHou/9YSIjUfP09VN9fZH2whBc7/AAzM5blOXRlOfX8uTbGVRczdM5cn5j5B8VzFGd1qNIVCCrkdSURERC5TroBcjGo1iifmPsEri17heMJxelXv5XYs8QsAP88Ybf9VSrKndfSJMych44+nWj5xpgX1uScq46OdwVUTTpxZd6nuNBfin8NT9Mhxptjhf6r4EexZH3xmu1PLAZ5lv+BU64Oca7+gM9v6BWXKwkmW+K16ESpqpJHvV4bzzLdriU1MBiD8WCzPfLsW4L/9Y0lJcf4DJ8U5gwpd8DrBcx13phCRFO8UHZLiz76dmHq7uFT3nXsdB/yHLkm+gWc+MPxTfRAE5HRm17jQB8up+04VKvxTLaeuuvoFXHkeydJ+3v4zg/8aTOV8lRnRcgR5g/K6HUlERESuULBfMMOaDeO5v55j2IphHE84zoBrB2DUTTdz8/E908o5LSQnXaJ1d/SZE62nT6iec2I1MdZZPrH/7BOyCTGX193mQnwDnYKHX/C/XKe6XPB2sNMNxy/oX649yz6+/ylumv9W9TIqaqSRt2dsIjYxmYoBK8mXbzZNjxQi2Cbh+7OFHWFOcSE54ZzreE/RIf782ymJV5nIeCqJgWf+s5yqLPoHO2M95Ao+8x/qdAUy+JwKZfAl7gs5s/wf/4OJXKnJGyfz+uLXqVe4HsObDyfEP3vN8iIiIpKV+Pv688YNb5ArIBfj1o3jRMIJBtcfjK++W8opvn7gm4ZFktRSUlK1Uo9J1frcczt1C/ZTLdZPFUMudoI47jgkHbrwCWebfHV5ja+n0BHgXPsGnLntG3imAOIbmOq+AFLWHOF/1rCgQAQnYiqx5GRbYhOTeXvGJhU15Ix9x5wqX/4cG1mT9whtkrdzy/EkEpL8YHfo+f+4AnKAX74L/EM89x/pqfuCLrKcqnKXuojh66/BKCVLsdbyyZpP+HjVxzQt0ZR3mrxDoK8GmBIREcnsfH18GdxgMLkDczN27ViOxx/njRveIMBXrXUlnfn4eFqI5wDC0v94yUnntKqPS3WSO46Lt9KPdVrpn3VSPO7MyfLUt+OOe7ZLOH3dJOkEG3LAB/nzUicyAU46g/Oe+g2b2amokUaK5gkm/Fgsfx/rSHCuGN7Ju5uXIgdSNGdh/n68udvxRDK15JRk3lzyJlM2TeGWsrfwUqOX8PfR2CgiIiJZhTGGx659jNCAUN5d/i5RCVEMazZMLTIla/H1A1/PhAUZ6JY3f+dYvrcwiQnMPfjY6fuL5gnO0BzpJfONcOKlBrWpSLC/L+BD3IHbwSSTo8gvDGqj6SVFrkZCcgJPzX+KKZum0KNqD15t/KoKGiIiIllUj2o9eLXRqyw7sIye03sSERvhdiSRTK9+7bX4Bh4i7sBtYJ2WzsH+vlnmt2qaFDWMMW2NMZuMMVuNMU9fYH2gMWaqZ/1iY0zptDiuN7m9djHeuLM6xfIEQ2IYQdFt8Mm5hrz5t7odTSTTOpl4kr6z+zJj5wyeqPMET9R9Ah+jWqyIiEhWdts1tzGs2TB2RO2g+2/d2Xtir9uRRDKtPcf3MP/wZKqENqaw37UYoFieYN64s3qWGE8DwFj7H2a6SL0DY3yBzUArYC+wFOhsrf0n1TZ9gRrW2oeMMZ2AO6y1HS+137p169ply5ZdVTY3JSYncvdPdxOTFMP3t31PDv8cbkcSyVQiYiN4eNbDbI7czMuNXubWcre6HUlEREQy0KpDq3hk9iME+AYwquUoKubLGmeVRTKKtZaHZj3E6sOr+eG2HygUUsjtSFfFGLPcWlv33PvT4pRnPWCrtXa7tTYBmALcds42twHjPcvfAC1MFp+ryd/Xn+evf579J/czavUot+OIZCp7T+yl+2/d2RG1g+HNh6ugISIikg3VKliL8W3H42N86Dm9J8sOZN4TniJumL5zOgv2LaB/7f6ZvqBxKWlR1CgG7El1e6/nvgtuY61NAqLIkOFl3VWnUB3uLH8nE/6ZwKajm9yOI5IpbDq6iW6/deNY/DHGtB7DjcVvdDuSiIiIuOSavNcwsd1E8ufIz4MzH2T27tluRxLJFI4nHOetJW9RNawqnSp2cjtOuvKqzunGmD7GmGXGmGWHDx92O06aGFhnIKGBoby88GVSbIrbcUS82qlBwXyMD+PbjqdWwVpuRxIRERGXFclZhPFtx1MpXyUGzh3ItM3T3I4k4vWGLR9GZHwkL1z/Ar4+vm7HSVdpUdQIB0qkul3cc98FtzHG+AGhwHlDGVtrR1tr61pr6xYoUCANorkvNDCU/9X9H2uOrOHrTV+7HUfEa83ePZsHZz5I/hz5mdhuItfkvcbtSCIiIuIl8gblZUzrMVxf9HqGLBzCmDVjuNqxAUWyqlWHVvHV5q+4t/K9VAmr4nacdJcWRY2lQHljTBljTADQCfjxnG1+BO7zLN8FzLHZ6FPo5rI3U79IfYatGMbhmKzRAkUkLU3ZOIWBcwdSKV8lJrSdQJGcRdyOJCIiIl4mh38OPmz+Ie3Ltmf4yuG8tvg1klOS3Y4l4lUSUxJ5edHLFMpRiH61+rkdJ0NcdVHDM0ZGP2AGsAH4ylq73hjzsjHm1Oh+nwJhxpitwEDgvGlfszJjDIPrDyY+OZ6hS4e6HUfEa6TYFN5f/j6vLX6NG4vdyJjWY8gTlMftWCIiIuKl/H38eb3x6/Ss1pOpm6by+NzHiU2KdTuWiNf44p8v2BK5hWfrP5ttZuC86ild00tmn9L1QkauHsmIVSMY2XIkjYs1djuOiKsSkhN4/u/n+XXHr9xT4R6eqf8Mfj5+bscSERGRTGLyxsm8sfgNquevzoctPiRfUD63I4m4Kjw6nNu/v53ri17P8ObD3Y6T5tJzSle5TA9Ue4DSuUvz6qJXVVGWbO14wnEenvUwv+74lceufYzBDQaroCEiIiJXpHOlzrzf7H02RW6i26/d2H18t9uRRFxjreW1Ra9hjOHZ+s+6HSdDqaiRgQJ8A3jh+hcIjw7nk9WfuB1HxBUHTh7gvt/uY8WhFbze+HV6Ve+FMcbtWCIiIpIJtSjZgk/bfMqJhBN0/bUraw6vcTuSiCt+3/U788Pn0792fwqHFHY7ToZSUSODXVf4Om4rdxvj149nS+QWt+OIZKhNRzdx76/3cuDkAUa2HMkt5W5xO5KIiIhkcjUL1OSLm74gZ0BOHpjxAH/s/sPtSCIZ6kTCCd5a8haV81Wmc6XObsfJcCpquOCJuk+QKyAXz/71LAnJCW7HEckQi/Yvosf0HgCMbzeeBkUauBtIREREsoxSuUvxRbsvKJ+3PI/PfZwpG6e4HUkkw7y2+DUi4iJ44foXsmWXbhU1XJA3KC8vN3qZjUc38sGKD9yOI5Luftr2Ew/PfJjCIYX58qYvqZC3gtuRREREJIsJCw5jbOux3FjsRl5b/BrvL3+fFJvidiyRdPXTtp/4ZfsvPFTzIarlr+Z2HFeoqOGSpiWa0rlSZ7745wv+Cv/L7Tgi6cJay8jVI3n2r2epU6gOE9pNyHZ9/ERERCTj5PDPwfvN3qdjxY58tu4znvrzKeKS4tyOJZIu9hzfw6uLXuXagtfSp3oft+O4RkUNFw2sM5Br8lzDc389x5HYI27HEUlT8cnxPD3/aUasGsGt5W5lZMuR5ArI5XYsERERyeL8fPx4rv5zDKgzgBk7Z/DA7w/ou7ZkOYkpiTw1/yl8fXx584Y38fXxdTuSa1TUcFGQXxBDbxzKycSTDP57sJrHSZYRERtBrxm9Tk/Z+mqjV/H39Xc7loiIiGQTxhjur3Y/7zd9n81HN9Plly5sjtzsdiyRNDNi1QjWHlnLkOuHUCRnEbfjuEpFDZeVz1ue/9X9H3+H/82XG750O47IVdsauZV7f72XjUc38m6TdzVlq4iIiLimRakWfN7uc5JTkun+W3f+3Pun25FErtqS/Uv4dO2n3Fn+TlqXbu12HNepqOEFOlbsSNMSTXl/+ftsiNjgdhyR/+zv8L/p9ls34pPjGdd2nD5kRURExHVVw6oyqf0kSuYqSf85/XUiUTK1Y3HHeOavZyiVuxRPXfeU23G8gooaXsAYw8sNXyZvYF6emv8UMYkxbkcSuWJTNk7hkdmPUCxnMSa3n5xtR18WERER71MopBCft/2cJsWb8OaSN3lt0WskpSS5HUvkilhreXHBixyNO8pbN75FDv8cbkfyCipqeIm8QXl57YbX2Bm1k6FLh7odR+SyJaUk8cbiN3ht8Ws0LtaY8e3Ga4YTERER8To5/HPwftP36Vm1J1M2TaHf7H6cSDjhdiyRy/b15q+Zs2cOj1/7OFXCqrgdx2uoqOFFGhRpQM9qPZm2ZRozd810O47Iv4pOiKb/nP5M2jiJblW6MazZMEL8Q9yOJSIiInJBvj6+DKw7kCHXD2Hx/sV0+7Ube0/sdTuWyL/admwbQ5cOpWHRhnSr0s3tOF5FRQ0v0692P6qFVWPIgiEcOHnA7TgiF7X7+G66/tqVhfsW8nyD53nyuiez9VRSIiIiknl0qNCBUa1GcSj2EF1+6cLSA0vdjiRyUfHJ8Qz6cxAh/iG81vg1fIx+xqemV8PL+Pv489aNb5GUksTT858mOSXZ7Ugi5/kr/C86/dKJI3FHGNVqFPdUvMftSCIiIiJXpH6R+ky6aRJ5gvLQ+/fefLnhS6y1bscSOc/7y99nS+QWXmn0CvmD87sdx+uoqOGFSuYuyXMNnmP5weWMXTvW7Tgip1lrGbt2LH1n9aVoSFGmtJ9CgyIN3I4lIiIi8p+UDi3NpJsmcUPxG3hzyZsM/nsw8cnxbscSOe3PvX/y5YYv6Vq5KzcWv9HtOF5JRQ0vdUvZW2hftj0fr/qYeXvmuR1HhJjEGAb9OYhhK4bRpnQbJrSbQPFcxd2OJSIiInJVcgbkZFizYTxc82F+3PYjPX7roW7g4hW2R23n6T+fpmLeijxe53G343gtFTW8lDGGF69/kcphlRn05yA2Hd3kdiTJxvae2Eu337rx+87fGVBnAENvHKoppERERCTL8DE+9K3Vlw+afcD2qO10/LkjKw6ucDuWZGORcZH0m90Pf19/hjcfTqBvoNuRvJaKGl4s2C+YD5t/SK6AXPSb04/DMYfdjiTZ0MJ9C+n0Syf2n9zPyJYjub/a/Rhj3I4lIiIikuZalGzBpPaTyBWQiwdmPMBXm77SOBuS4RKSE3j8j8c5ePIgw5sPp2jOom5H8moqani5gjkK8lHzj4iKj+LROY8SlxTndiTJJqy1jF8/nodmPUSB4AJMaT+FRsUauR1LREREJF2Vy1OOSe0n0aBoA15Z9AovLXyJhOQEt2NJNmGt5aWFL7Hi0ApebfwqNQvUdDuS11NRIxOoHFaZN294k/UR63nur+dIsSluR5IsLiYxhmf+eoZ3lr1D8xLNmXjTRErmLul2LBEREZEMkTsgNx81/4je1Xszbcs07p9xPwdPHnQ7lmQDn677lB+3/Ujfmn1pV6ad23EyBRU1MonmJZszsM5Aft/1Ox+v+tjtOJKFbT+2nS6/dOHX7b/Sr1Y/3m36LiH+IW7HEhEREclQvj6+PHrto7zb5F02R27m7p/uZkH4ArdjSRY2c9dMhq0YRrsy7Xio5kNux8k0VNTIRO6reh93lr+T0WtG89O2n9yOI1nQT9t+otMvnYiMj2RUq1E8WPNBfIw+JkRERCT7al26NVNunkJYcBgPzXqIj1Z+RHJKstuxJItZf2Q9z85/lpoFavJKo1c0ht0V0K+VTMQYw+D6g6lXuB4vLnhRIzJLmolLimPIgiE8+9ezVAmrwte3fE3Dog3djiUiIiLiFcqGlmVS+0ncds1tfLLmE/rM7MOR2CNux5Is4sDJA/Sb04+w4DCGNRummU6ukIoamYy/rz/vNX2PojmL8vgfj7PnxB63I0kmtzNqJ/f+ei/Ttkyjd/XejG09loI5CrodS0RERMSrBPsF80qjV3il0SusObyGu368iyX7l7gdSzK5mMQY+s/pT2xSLB82/5Cw4DC3I2U6V1XUMMbkM8bMNMZs8VznvcA2tYwxC40x640xa4wxHa/mmAKhgaF83OJjkm0y/Wb343jCcbcjSSY1fcd0Ov7ckUMxhxjZciSPXvsofj5+bscSERER8Vq3X3M7k9pPIndgbnrP7M2o1aM0kL/8J8kpyTw1/yk2R27mnSbvUD5vebcjZUpX21LjaWC2tbY8MNtz+1wxQHdrbVWgLfCBMSbPVR432yuVuxQfNPuA3cd387+5/yMxJdHtSJKJJCQn8OqiVxn05yAq5K3A17d8TeNijd2OJSIiIpIplM9bnintp3BTmZv4eNXHPDzrYY7GHXU7lmQy7y9/n7l75vLUdU/pu/hVuNqixm3AeM/yeOD2czew1m621m7xLO8DDgEFrvK4AlxX+DpeuP4FFu5fyFN/PqXChlyW3cd30+23bkzdNJWeVXvyWdvPKBxS2O1YIiIiIplKDv8cvN74dYZcP4RlB5Zx9493s/TAUrdjSSYxctVIxv8znk4VO9Glche342RqV1vUKGSt3e9ZPgAUutTGxph6QACw7SqPKx53lL+DQXUHMXPXTAbNG0RisgobcmHWWr7Z/A13/XQXe0/s5cPmHzKw7kD8ffzdjiYiIiKSKRlj6FChA5PaTyLYP5gHZjzAe8vfIyE5we1o4qWstXy86mNGrB7BreVu5el6F+rsIFfCWGsvvYExs4ALncZ9Dhhvrc2TattIa+1542p41hUB5gL3WWsXXWSbPkAfgJIlS9bZtWvXZTwFAZj4z0TeWvoWzUo0490m7+Lvqx+qckZEbARDFg5h7p651C9Sn1cbvarWGSIiIiJpKCYxhreXvc03m7+hYt6KvHnDm1yT9xq3Y4kXsdby0aqPGL1mNLdfcztDrh+Cr4+v27EyDWPMcmtt3fPu/7eixr/sdBPQ1Fq7/1TRwlpb8QLb5cYpaLxurf3mcvZdt25du2zZsv+cLTuatGESbyx5g6bFm/Ju03cJ8A1wO5J4gbl75vLigheJTohmQJ0BdKncBR+jiY9ERERE0kPq716P13mceyvfq+9egrWW4SuHM3btWDqU78AL17+gfxdX6GJFjat9FX8E7vMs3wf8cIEDBwDfARMut6Ah/02Xyl0YXH8wc/fOZcDcAcQnx7sdSVwUkxjDkAVD6D+nPwVzFGTqzVPpWqWrPjxFRERE0lHTEk359tZvaVi0IUOXDqXPzD4cOHnA7VjiImst7694n7Frx3J3hbtV0EhjV/tKvgm0MsZsAVp6bmOMqWuMGevZ5h7gRqCHMWaV51LrKo8rF9GxUkdeuP4F/tz7J4/98ZgKG9nU6sOrufunu/l2y7fcX+1+Jt00Sc0fRURERDJIWHAYw5sP58XrX2TN4TXc+eOdTN8x3e1Y4gJrLe8ue5dx68bRsWJHBjcYrIJGGruq7ifpSd1Prs60zdMYsnAIDYs2ZFizYQT5BbkdSTJAYkoio9eMZsyaMRTKUYjXGr9G3cLntdASERERkQyy+/hunpn/DGuOrOGmMjfxXIPnyB2Q2+1YkgGstQxdOpSJGybSuVJnnqn3DMYYt2NlWunV/US8VIcKHXi54css3LeQ/nP6E5sU63YkSWcbj26k669dGbV6FO3LtuebW79RQUNERETEZSVzl2R8u/E8UusRZuycwZ0/3Mm8PfPcjiXpzFrLW0vfYuKGidxb+V4VNNKRihpZ2B3l7+CVRq+weP9i+s9WYSOrik2K5b3l79Hp504cPHmQ95q+x2uNXyNXQC63o4mIiIgI4Ofjx0M1H2LiTRPJFZCLfnP68b95/+NI7BG3o0k6sNbyxpI3+HLDl3Sr0o2nrntKBY10pO4n2cBP235i8N+DqZa/Gh80/YACOQq4HUnSyIJ9C3hl4Svsjd5Lh/IdGFBnAKGBoW7HEhEREZGLSExOZNz6cXyy+hMC/QJ5os4T3FH+Do2zkEXEJcUxZOEQftn+Cz2q9mBgnYEqaKSRdJnSNT2pqJG2Zu2axbN/PUtO/5y83+x9ahao6XYkuQqRcZG8vfRtftr+E6Vzl+aF61/gusLXuR1LRERERC7TzqidvLTwJZYdXEadQnV48foXKRNaxu1YchX2R+/nsT8eY+PRjfSr3Y/e1XuroJGGVNQQNkdu5tE5j3Io5hDPN3ieO8rf4XYkuULWWn7e/jNDlw4lOiGa+6vfT58afQj0DXQ7moiIiIhcIWst3239jneWvUNcUhx9avThgWoP4O/r73Y0uULLDizjiXlPkJCcwJs3vEmTEk3cjpTlqKghAETFRzFo3iAW7l9Ip4qdeLLek/j76EMzM9hzYg+vLHyFhfsXUrNATV68/kXK5y3vdiwRERERuUpHYo/w1pK3mL5zOuVCyzGk4RBqFazldiy5DNZapmyawtAlQymeqzjDmw9Xi5t0oqKGnJaUksQHyz9g/D/jqVOoDu82eZew4DC3Y8lFxCTGMG79OD5f9zm+Pr48fu3j3FPxHvW7FBEREcli/tz7J68uepUDJw9w2zW30b92fwrmKOh2LLmIhOQEXl30Kt9t/Y6mxZvy+g2va7D+dKSihpzn5+0/M2TBEPIG5eWDZh9QNayq25EkleSUZH7c9iMfrvyQw7GHaVu6LU/UfYLCIYXdjiYiIiIi6SQmMYaRq0cyccNE/H38ub/a/dxX9T6C/YLdjiapHIo5xIA/BrDmyBoerPEgfWv11UnHdKaihlzQPxH/8NgfjxEZF8mQhkO4uezNbkcSYPH+xbyz7B02Ht1Ijfw1GHTdIDVBFBEREclG9hzfw/sr3mfmrpkUzFGQx699nPZl2+uHsxdYdWgVA+YO4GTiSV5v/DotS7V0O1K2oKKGXFREbARPzHuC5QeX07VyVx6v87gGnnTJzqidvLv8XebumUuRkCIMqDOAtqXbatRkERERkWxq+cHlvL30bdZHrKdKWBUG1R1E3cLn/a6TDGCt5evNX/PmkjcplKMQw5sP1xh3GUhFDbmkxJRE3l76NpM3TtYUoS44FneMUWtGMXXjVAL9AulVvRddK3clyC/I7WgiIiIi4rIUm8Iv239h2IphHIw5SMuSLRlQZwAlc5d0O1q2sTNqJy8vepmlB5bSqGgj3rrxLUIDQ92Ola2oqCGXZcG+Bbyy8BX2Ru/lzvJ3MrDOQP1nTUcnE08yZeMUPlv3GdGJ0XQo34G+tfqSPzi/29FERERExMvEJsUyYf0EPl33KYkpiXSs2JGeVXtSKKSQ29GyrMTkRD5b9xmj14wm0C+QJ+o8wR3l71A3IBeoqCGXLTYpllGrRzF+/XhCA0N5ut7T6gKRxqLio5i0YRITN0zkeMJxGhVrxMA6A6mQt4Lb0URERETEyx2OOcxHqz7ih60/4GN8uOOaO7i/+v0Uy1nM7WhZyqpDq3hp4UtsPbaVtqXb8lS9p3Ty0UUqasgV23h0I0MWDGF9xHoaF2vM4AaD9UF5lSJiI5jwzwSmbprKycSTNCvRjD41+lAtfzW3o4mIiIhIJrPnxB7GrRvH91u/J8Wm0L5se3pV70WZ0DJuR8vUTiScYNiKYXy16SsKhxRmcIPB3Fj8RrdjZXsqash/kpySzOSNkxm+cjgA/Wr1o0vlLvj5+LmcLHM5cPIA49eP55vN3xCfHE+b0m3oVb0XFfNVdDuaiIiIiGRy+q6Zdmbvms3ri1/nSNwRulTqQv/a/cnhn8PtWIKKGnKV9kfv59XFr/Ln3j+pElaFJ+o8wXWFr1OXlH9xbvX85rI380D1B1Q9FxEREZE0FxEbwRf/fMGUTVM4mXiSpiWa0qd6H6oXqO52NK+37dg2hq0Yxh97/qBi3ooMaThEram9jIoactWstczYNYOhS4ZyOPYwNfLX4IHqD9C0RFMNlJNKYkoi8/bM45st37AgfAF+Pn7cWf5Oelbrqe47IiIiIpLuouKjmLRxEhP/ccZvqxZWjQ4VOtCuTDtC/EPcjudV1hxew9i1Y/ljzx8E+wXzUM2H6FalG/4+/m5Hk3OoqCFpJi4pjh+2/sC49eMIjw6nXGg57q9+P+3KtMvW//l3H9/Nt1u+5fut3xMRF0GhHIW4o/wd3F3hbgrmKOh2PBERERHJZk4mnuT7rd8zbcs0tkRuIdgvmJvK3ESH8h2olr9atm11ba1l4b6FjF03lqUHlpI7IDf3Vr6XLpW6kCcoj9vx5CJU1JA0l5SSxIydM/h03adsidxCkZAi3Ff1Pu4sfyfBfsFux8sQCckJzN49m2mbp7H4wGJ8jS83FL+BuyvcTaOijfD18XU7ooiIiIhkc9Za1hxZw7TN05i+czqxSbFUyFuBDuU7cHO5m8kdkNvtiBkiOSWZWbtn8enaT9lwdAMFcxTkvir3cVeFuzRuRiagooakG2st88PnM3btWFYeWknewLzcW/leOlXqRGhgqNvx0lxySjLrItYxY+cMftr2E8fij1EsZzHuLH8nt19zu1pliIiIiIjXik6I5tcdvzJtyzT+ifiHQN9AWpdqTfuy7bmu8HUE+Aa4HTHNxSfH8/O2nxm3fhy7ju+idO7S9KzWk5vL3pwln29WpaKGZIgVB1cwdu1Y5ofPx8/Hj/qF69OiVAualWiWqed0Ppl4koX7FjJ3z1zmh8/naNxR/Hz8aFaiGXdVuIsGRRpoXBERERERyVT+ifiHaZun8cuOXziZeJJgv2AaFm1Ik+JNuKH4DZn++/v88PnM3jWbP/f+SUxSDJXzVaZX9V60KNlCLaozIRU1JENtOrqJX7b/wqzds9hzYg8GQ+2CtWlesjktSrageK7ibkf8V+HR4czdM5c/9/7J0gNLSUxJJFdALhoXa0zT4k1pVKxRlmyJIiIiIiLZS1xSHEsOLGHennnM2zuPgzEHMRiq56/OjcVvpGmJplTIW8Hrx+CIjItk7p65zN49m4X7FpKQkkC+oHw0K9GMdmXaUa9wPa9/DnJxKmqIK6y1bDm2hdm7ZjNr9yw2R24GoHK+yjQv2ZxmJZpxTZ5rXK+UJqUksSNqBxuObmBDxAYW7V/E1mNbASgTWoYmxZvQpHgTahWshZ+Pn6tZRURERETSi7WWzZGbT5/cW3tkLRZL4ZDCNCraiCphVaicrzLl85YnyC/I9azh0eHM2zuPObvnsOzgMlJsCkVDitK8ZHNalmpJrQK1XP+tIWlDRQ3xCnuO72H27tnM3j2bVYdXARDoG0i5POUon6c85fOWp0LeCpTPWz7dmrvFJ8ezJXLL6QLGxqMb2Ry5mfjkeACCfIOoWaDm6ap0ydwl0yWHiIiIiIi3OxJ7hPl75zNv7zyWHljK8YTjAPgaX8qElqFyvspUDqtMpXyVqJSvErkCcqVLjhMJJ9gSucW5HNtyevlE4gkAyoaWpUXJFrQs1ZLK+SqrRUYWpKKGeJ3DMYdZsG8BmyM3syVyC5sjNxMRF3F6fb6gfKcLHQVyFCDYL/isSw6/HAT7n1kGZ07uyPhIIuOcy7H4YxyNO8qx+GMcizvGkdgj7Dy+k2SbDEAu/1xUDqtM5XyVqRRWiSr5qlAqdylVc0VEREREzmGtZd/JfWyM2Mg/R/9h49GNbIjYwOHYw6e3KZ6zOIVCCpE3MC95gvKQNzAveYPykicwD/mC8p2+z9f4EpsUe9YlJinGWU50bkfGR7L12Fa2RG5h/8n9p4+R0z/n6ROh5fOU57oi11E2tKwbL4lkoHQpahhj8gFTgdLATuAea23kRbbNDfwDfG+t7fdv+1ZRI3s6Gnf0rArs5qOb2Ra1jdik2P+8z9DA0NMfpnkD81IuT7nThYxiOYupiisiIiIichWOxB5hQ8QGNhzd4JyojI1wTjLGOycZU2zKf9qvn/GjdGjp0wWMCnkrUD5PeQqHFNZ3+GwovYoaQ4Gj1to3jTFPA3mttU9dZNthQAHP9ipqyGWz1p5XxT1dyU08czvZJp8uXJyqBocGhmoMDBERERERl6TYFE4knDirFXVkXCTJNpkc/jnOboV9TmvsIN8gtaCW0y5W1LjaX3u3AU09y+OBucB5RQ1jTB2gEDAdOC+EyKUYY8jhn4Mc/jncjiIiIiIiIlfAx/gQGhiqWQMl3fhc5eMLWWtPdW46gFO4OIsxxgd4F/jfVR5LREREREREROS0f22pYYyZBRS+wKrnUt+w1lpjzIX6svQFfrXW7v23fk/GmD5AH4CSJTXjhIiIiIiIiIhc3L8WNay1LS+2zhhz0BhTxFq73xhTBDh0gc2uB24wxvQFcgIBxphoa+3TFzjWaGA0OGNqXO6TEBEREREREZHs52rH1PgRuA9403P9w7kbWGvvPbVsjOkB1L1QQUNERERERERE5Epc7ZgabwKtjDFbgJae2xhj6hpjxl5tOBERERERERGRi7mqKV3Tk6Z0FRERERERERG4+JSuV9tSQ0RERERERETEFSpqiIiIiIiIiEimpKKGiIiIiIiIiGRKXjumhjHmMLDL7Rz/UX7giNshJM3pfc169J5mPXpPsya9r1mP3tOsR+9p1qT3NevJzO9pKWttgXPv9NqiRmZmjFl2oQFMJHPT+5r16D3NevSeZk16X7MevadZj97TrEnva9aTFd9TdT8RERERERERkUxJRQ0RERERERERyZRU1Egfo90OIOlC72vWo/c069F7mjXpfc169J5mPXpPsya9r1lPlntPNaaGiIiIiIiIiGRKaqkhIiIiIiIiIpmSihoiIiIiIiIikimpqCEiIiIiIiIimZKKGiIiIiIiIiKSKamoISIiIiIiIiKZkooaIiIiIiIiIpIpqaghIiIiIiIiIpmSihoiIiIiIiIikimpqCEiIiIiIiIimZKKGiIiIiIiIiKSKamoISIiIiIiIiKZkooaIiIiIiIiIpIpqaghIiIiIiIiIpmSihoiIiIiIiIikimpqCEiIiIiIiIimZKKGiIiIiIiIiKSKamoISIiIiIiIiKZkooaIiIiIiIiIpIpqaghIiIiIiIiIpmSihoiIiIiIiIikimpqCEiIiIiIiIimZKKGiIiIiIiIiKSKamoISIiIiIiIiKZkooaIiIiIiIiIpIpqaghIiIiIiIiIpmSihoiIiIiIiIikimpqCEiIiIiIiIimZKKGiIiIiIiIiKSKamoISIiIiIiIiKZkooaIiIiIiIiIpIpqaghIiIiIiIiIpmSihoiIiJyHmNMI2PMFmNMtDHm9gw87g3GmE0ZdTy3GWOeNcaMdTuHiIhIZqWihoiISAYyxuw0xsR6igUHjDGfG2Nyup3rAl4GPrLW5rTWfp9eBzHGWGPMNaduW2vnW2srptfxUh23iDHmR2PMPk+G0uesDzTGfGaMOe55nwamRw5r7evW2l6XmXmIMWZieuQQERHJrFTUEBERyXi3WGtzArWA2sAz7sa5oFLAerdDpKMUYDrQ4SLrhwDlcV6HZsCTxpi2GRNNRERELpeKGiIiIi6x1h4AZuAUNzDGNDXG7E29jadlR0vP8hBjzFfGmAnGmBPGmPXGmLqptr3WGLPSs+5rY8xUY8yrqdbfbIxZZYw5ZoxZYIypcaFcxphtQFngJ0+LksDUOVJlmehZLu1p7XCfMWa3MeaIMea5VNv6erpZbPNkW26MKWGM+dOzyWrPcTqe+xoYYyobY+Z6Mq83xtyaat3nxpiPjTG/ePa72BhT7jJf+4PW2hHA0otsch/wirU20lq7ARgD9LjI69XDGPO3MeYjY0yUMWajMaZFqvVFPa1Cjhpjthpjel/p6+gpqDwLdPS8VqtTHXu75/nvMMbceznPX0REJKtQUUNERMQlxpjiQDtg6xU87FZgCpAH+BH4yLOvAOA74HMgHzAZuCPVsWoDnwEPAmHAJ8CPxpjAcw9grS0H7MbTosRaG3+Z2RoDFYEWwAvGmMqe+wcCnYGbgNzA/UCMtfZGz/qanuNMTb0zY4w/8BPwO1AQ6A98aYxJ3T2lE/ASkBfndXztMrNelDEmL1AEWJ3q7tVA1Us8rD6wDcgPvAh8a4zJ51k3BdgLFAXuAl43xjS/xL7Oex2ttdOB14GpnteqpjEmBBgOtLPW5gIaAquu6MmKiIhkcipqiIiIZLzvjTEngD3AIZwfwZfrL2vtr9baZOALoKbn/gaAHzDcWptorf0WWJLqcX2AT6y1i621ydba8UC853Fp5SVrbay1djVOEeBUtl7AYGvtJutYba2NuIz9NQByAm9aaxOstXOAn3EKJKd8Z61dYq1NAr7E0+rlKp0a4yQq1X1RQK5LPOYQ8IHntZ8KbALaG2NKAI2Ap6y1cdbaVcBYoPsl9nWx1/FCUoBqxphga+1+a21W7jIkIiJyHhU1REREMt7tnjPrTYFKOGf3L9eBVMsxQJAxxg+nFUC4tdamWr8n1XIp4AlPN45jxphjQAnP49LKudlOFQdK4LRiuFJFgT3W2pRU9+0Cil3GMa9GtOc6d6r7cgMnLvGYc1/7XTj5iwJHrbUnzlmX+jmc67Kek7X2JNAReAjY7+mGU+kS+xUREclyVNQQERFxibV2Hk53kXc8d50Ecpxab4zxBQpc5u72A8WMMSbVfSVSLe8BXrPW5kl1yWGtnXyZ+z8rG1D4Mh936tiXNdbFOfYBJYwxqb+vlATC/8O+Lpu1NhLn9UzdQqImlx449dzXviRO/n1APmNMrnPW/ZfnYM+7w9oZ1tpWON1lNuKM/SEiIpJtqKghIiLirg+AVsaYmsBmnJYX7T3jSQwGzhvz4iIWAslAP2OMnzHmNqBeqvVjgIeMMfWNI8RznEt1qUhtFdDJGOPvGZz0rst8HDjdLV4xxpT3HLuGMSbMs+4gzqCkF7IYp6XCk57jNgVuwRmj4l95Bhgdcon1QZx5fQM9t0+ZAAw2xuT1tH7ojVOAupiCwKOenHcDlYFfrbV7gAXAG8aYIM/grA8A/2Vq1oNA6VNFHmNMIWPMbZ6xNeJxWpikXGoHIiIiWY2KGiIiIi6y1h7G+QH9grU2CuiLUwQIx2kdsfcSD0+9nwTgTpwfzMeArjjjT8R71i/D+WH+ERCJM6hmjyuI+jxOa4tInIE5J13BY98DvsIZ8PM48CkQ7Fk3BBjv6RJzzwWe0y04g6keAUYA3a21Gy/zuCWAvy+xPpYzXU02em6f8iJOl5ldwDzgbc9gnRezGGcK2CM4g5XelWrckM5AaZxWG98BL1prZ13mc0jta891hDFmBc73uIGe/R4FmgAP/4f9ioiIZFrm7O6fIiIiklUYYxYDo6y149zOktE8M8t8Za1tmAHH6gH0stY2Tu9jiYiIyNnUUkNERCSLMMY0McYU9nQ/uQ+oAVyqdUGWZa3dmxEFDREREXGXn9sBREREJM1UxOnmEQJsx+kCsd/dSCIiIiLpR91PRERERERERCRTUvcTEREREREREcmUvLb7Sf78+W3p0qXdjiEiIiIiIiIiLlu+fPkRa22Bc+/32qJG6dKlWbZsmdsxRERERERERMRlxphdF7pf3U9EREREREREJFNSUUNEREREREREMiUVNUREREREREQkU1JRQ0REREREREQyJRU1RERERERERCRTUlFDRETk/+3dd3gU1dvG8e9JbyQhIfQuvVex0pu9goqiAhYsqNh97fpT7IpdUZq9KxZ6sYv0EnqHQCCFkJ5skvP+MSGEHiTJpNyf69prdmdndp4w7O7sPWfOEREREZFyqVhCDWPMeGPMHmPMyqM8b4wxrxtjNhhjlhtjOhXHdkVERERERESk8iqulhoTgYHHeP4coGn+7SbgnWLaroiIiIiIiIhUUsUSalhrfwMSj7HIRcBk6/gHCDfG1CqObYuIiIiIiIhI5eRTStupA2wv9HhH/rxdpbR9ERERKS88mbAnGnYtg7i1EFYPaneAmu0gINTt6kRERKQMKa1Qo0iMMTfhXJ5C/fr1Xa5GRERESpwnA3ZHw66lsHOpM92zGvJynOd9AiAn88DykU2gVgcn5KjVAWq1g4Cw0q5aREREyojSCjVigHqFHtfNn3cQa+37wPsAXbp0saVTmoiIiJSqnGz4931Y9pkTYNhcZ35gVSeoOGNUfmDRHqo2hNQ9TquN/cHHtr9h5dcHXi+iMTQ/F7rf67yGiIiIVBqlFWpMAW43xnwOdAP2WWt16YmIiEhlYi2snQozHobETVD/dDjrrgMtL8LqgTGHr1elBlTpD836H5iXGpcfdCyBHYvg77dg6afQ6/+g8zDwLlONUUVERKSEFMs3vjHmM6AnUM0YswN4HPAFsNa+C/wCnAtsANKBYcWxXRERESkndq+C6Q/BpnlQrRlc/TU07fffXy8kCpr2dW4AsStg2kPwy72w4EMY+Cyc0rtYShcREZGyy1hbNq/y6NKli124cKHbZYiIiMjJSEuAuc/AogngHwo9H4KuI8Dbt/i3ZS2s+QlmPAJ7t0Czc6D//6Bak+LfloiIiJQqY8wia22XQ+erbaaIiIgUv5xsWPAB/PocZKVC1xucQCMoouS2aQy0vACa9od/3oHfXoK3T4NuN0P3+yAwvOS2LSIiIq5QqCEiIiLFa8NsmHo/JGxwLgEZ8CxUb1l62/fxd/rqaH8VzHna6W9j2WfQ+1HofP2R++0QERGRcsnL7QJERESkAvn7Lfj4Muf+kC/hmm9LN9AorEoNuOhNuPlXiGoBP90FP9wOuR536hEREZFip5YaIiIicvLy8pxRTf55G1peCJe+D76BblflqNUerv8Z5o2BX5+H1FgYNAn8Q9yuTERERE6SWmqIiIjIyfFkwtfDnECj20gYNLHsBBr7GeMM93rB67BxLkw8F1J2u12ViIiInCSFGiIiIvLfpSfCR5fAqu+h/zMw8Dnw8na7qqPrfB1c9TnEr4cP+zpTERERKbcUaoiIiMh/k7QNxg+EmIVw+Xg44/by0Qlns/7O5SieDPiwH2z7x+2KRERE5D9SqCEiIiInbtdy+KCv0z/F0O+gzWVuV3Ri6nSCETMhMAImXwSrprhdkYiIiPwHCjVERETkxGyYDRPOAS9fGD4dGp7ldkX/TUQjJ9io2Ra+vBbmv+d2RSIiInKCFGqIiIhI0S39FD4dDFUbwg0z3RuutbgER8K1U6DFeTD1fpjxqDOSi4iIiJQLCjVERESkaBZOgO9vgQZnwrCpEFrb7YqKh18QDJ4MXW+Ev16Hn+8Ga92uSkRERIrAx+0CREREpBxY/ZPzY79pf7jiE/Dxc7ui4uXlDee+CP4h8MerUKUm9HzQ7apERETkOBRqiIiIyLFt/Ru+GQG1O8GgiRUv0NjPGOjzOKTugXljIKQ6dBnudlUiIiJyDAo1RERE5Oj2rIbProCwejDkS/ALdruikmUMXDAW0uLg53sguDq0PN/tqkREROQo1KeGiIiIHNm+HfDxZeATCEO/dTrVrAy8fZ0WKbU7OS1Utv7tdkUiIiJyFAo1RERE5HDpifDRpZCVAtd8A+H13a6odPkFOy1Twuo5LVX2rHa7IhERETkChRoiIiJyME8GfHYV7N0MV34KNdu4XZE7giOdQMcn0Gmxsm+H2xWJiIjIIRRqiIiIyAG5OfD1cNg+Hy4dB43Odrsid1Vt4AQbWSlOy5X0RLcrEhERkUIUaoiIiIjDWmfY1rW/OMObtr7Y7YrKhpptnBYrezc7LVg8GW5XJCIiIvkUaoiIiIhj3nOweBKcfS+ceqPb1ZQtjc52Wq5sn++0ZMnNcbsiERERQUO6ioiICMCiifDrc9DxGuj9SKltNicvh+TsZFKyU0jOSiY5O/+Wfz/Vk0qATwChfqGE+oUS5h9WcD/U35n6efuVTrGtL4a0F+GXe53b+a86Q8CKiIiIaxRqiIiIVHZb/4Kf74Gm/eH8sSXyQz0rN4v1e9ezKmFVwW1byjbSPGnHXM/Hy4ecvGO3igjwDqBWSC1aRrSkVWQrWkW2okVEC6r4VSnOP8Fx6o2QvBP+eAVqtFaLFhEREZcp1BAREanM9u2AL6+Fqo3gsg/A++QPDTJzMlmTuIbViatZlbCK1Qmr2Zi0kRzrhBOhfqG0imzFxTUuPqjlxaGtMKr4VcHf2x9PnueoLTn239+aspWFuxfyy+ZfCupoENqAlhEtaRnphB0tI1oS5h920n8fvR+FPatg2oNQvRU0PPPkX1NERET+E2OtdbuGI+rSpYtduHCh22WIiIhUXJ4MGD8QEjbCjXMgqtl/fqmU7BTmbZ/HrK2z+HPnn2TlZgFQ1b9qQeuJ/eFC7eDamBK6bCM+I57VCasPClR2pu0EwMt40blGZ/rW70vfBn2pHlT9v28ocx+M6wMZe+HmXyGsbjH9BSIiInIkxphF1touh81XqCEiIlIJWQvf3wLLPoOrPofm55zwSyRlJjF3+1xmbp3J37v+Jicvh+qB1enToA/danWjdWRragTVKLEAo6j2Zu5ldeJqFu1exKyts9i0bxMAHaI60LdBX/o16EftkNon/sJx62Bcb4g8BYZPA9/AYq5cRERE9lOoISIiIgf88y5MewB6/h/0fKDIq8VnxDNn2xxmbp3JgtgF5NpcagfXLggH2kW1w8uU7cHVNiVtYubWmczcOpO1e9cC0CqyFf0a9KNfg340CG1Q9Bdb8wt8fhW0vwoufkcdh4qIiJQQhRoiIiLi2PwbTL7YaZ0x+CPwOnYIYa1lWdwyJq+azOxts8mzeTQMbUjfBs5lHK0iWrneGuO/2p68nZnbZjJr6yxWxK8AoFP1Tlzb6lp61uuJt5f38V9k3vMw71kY+BycdksJVywiIlI5KdQQERER2LsV3u8JIdXhhlngf/QRQnLycpi1bRYfRX/E8vjlhPqFcnmzyzm/8fk0CW9SboOMo4lNi2Xa5ml8tuYzdqbtpF6VelzT8houbnIxQb5BR18xLw++HAprp8K130Oj7qVWs4iISGWhUENERKSyy06H8f1h7za4aa7TF8QRpGan8u36b/lk9SfsTNtJ/Sr1uabVNVx0ykXH/nFfQeTk5TBn2xwmrZrE8jgnzBnUbBBXtbiKGsE1jrxSVorTcWhaHNw0D6qewCUsIiIiclwlGmoYYwYCYwFv4ANr7XOHPF8fmASE5y/zoLX2l0NfpzCFGiIiIsXIWvjmBlj5DQz5Epr1P2yRXam7+GT1J3yz/htSPal0qt6J61pfR4+6PYp2GUYFtHTP0oLLbrzwYmCjgVzb6lpaRrY8fOH4DU7HoVXrw/AZ4FfxAyAREZHSUmKhhjHGG1gH9AN2AAuAq6y1qwot8z6wxFr7jjGmFfCLtbbhsV5XoYaIiEgx+usNmPEI9HkMzr7noKdi02J5Y8kb/LzpZwD6N+zPta2upU21Nm5UWiZtT9nOp6s/5dv135Kek87ptU7n7i530yKixcELrpsBnw6GtpfDpePUcaiIiEgxOVqo4VMMr30qsMFauyl/Q58DFwGrCi1jgdD8+2HAzmLYroiIiBTFxjkw8zFodRGcdXfB7HRPOuNXjmdS9CTybB5DWg5haMuh1Aqp5WKxZVO9KvV44NQHuKXDLXyz7hvGrxzP4B8Hc1GTixjVcRTVg6o7CzbrD70fgTlPQ632cMYodwsXERGp4IqjpcblwEBr7Q35j4cC3ay1txdaphYwA6gKBAN9rbWLjvW6aqkhIiJSDPZuhfd7QJVaMGIm+IeQm5fLDxt/4I0lbxCfEc85Dc/hzs53UiekjtvVlhvJ2cmMWz6OT1Z/go+XD8NaD+O61tc5fY5YC19dB6t/hKHfQeOebpcrIiJS7h2tpUZpDSR/FTDRWlsXOBf4yJjDB7E3xtxkjFlojFkYFxdXSqWJiIhUUJ5M+PJaZ3SOKz4G/xD+3vk3g38azON/PU6dkDp8fO7HvNDjBQUaJyjUL5R7utzDDxf/wNl1zubtZW9zwXcX8P2G78nDwkVvQ7Vm8PUISFYDVRERkZJSHKFGDFCv0OO6+fMKGwF8CWCt/RsIAKod+kLW2vettV2stV2ioqKKoTQREZFKbNqDsGspXPIOm7wNt82+jZtm3kSaJ40Xe7zIR+d8RPuo9m5XWa7Vq1KPl3u+zORzJlMjuAaP/vkoV/50Jf8mroLBH0FOJnx1PeR63C5VRESkQiqOUGMB0NQY08gY4wdcCUw5ZJltQB8AY0xLnFBDTTFERERKytLPYNEEUk6/jWf3LePSKZeyePdiRncezQ8X/8DAhgMx6sSy2HSs3pGPz/2Y589+nqSsJEbMGMGoFW+wc8DTsH2+06eJiIiIFLviGtL1XOA1nOFax1trnzHGPAUstNZOyR/xZBwQgtNp6P3W2hnHek31qSEiIvIf7Y6GcX34s25rHg82xGXEMajZIG7tcCsRARFuV1fhZeZk8vHqjxm3fBwA9wQ2YtDyqZjLJ0CbS12uTkREpHwqsSFdS4pCDRERkaL7fkkML05fS0pSAl8EPcrH1QxTgn1oHNaYp898mnZR7dwusdKJSY3h8b8eZ/6u+XTL8+PRXbE8yBj+SY6kdngg9w1ozsUd1ZeJiIhIUbjdUaiIiIiUkO+XxPDQtyuISUpnWNjrjKpjmBLky9lRg/nygi8VaLikTkgdxvUbx2OnP8ZSHy8G1arK6X7PE0g6MUkZPPTtCr5fcmg3ZCIiInIiFGqIiIiUcy9OX0tGbirtar/G+NpJZOSGkrblVpYtPxN/b3+3y6vUjDEMajYI310P4J1Ri3FRXjRp8DzGN4EMTy4vTl/rdokiIiLlmkINERGRcm63ZwlVG7/IttBYeiUGEbP5QfIy67EzKcPt0iRfbGIgu7bdyemxjdgTkEFY41fwrfo3O5PS3C5NRESkXFOoISIiUk4lZyfz8B8PE1h/InVtCs/H5DB3971g/QCoHR7ocoWyn7MvDDP33si926pyamYaATV/IKzxeLanbHe7PBERkXJLoYaIiEg5FJ0QzeAfB/Pzpp+5OiuYj3fE8UrqnaQQBECgrzf3DWjucpWy330DmhPo643Fi6czRvHILsvouCx8AmMY/ONgZm2d5XaJIiIi5ZJCDRERkXLEWsvnaz5n6C9DycnLYWLkWTy4czUbOj1JalhzDFAnPJAxl7bVyBplyMUd6zDm0rbUCQ8kmRCeDLif69IT+cHWoGFoA0bPG83z/z6PJ9fjdqkiIiLlioZ0FRERKSdSs1N58u8nmbZlGmfVOYtna/Sm6jc3QOfr4YKxbpcnJ2rhePhpNJ7u9/FyiA+frP6EttXa8lKPl6gdUtvt6kRERMoUDekqIiJSjq1NXMuVP1/JjK0zuLPTnbzV4W6q/nQ31OoAA593uzz5LzoPg/ZX4fvbSzxYtQuv9HyFzfs2M+jHQfy6/Ve3qxMRESkXFGqIiIiUYdZavln3DVf/cjXpnnQ+7P8hNzQfgtdX14OXN1zxEfgGuF2m/BfGwHmvQI3W8M0I+oU244vzv6B2SG1un3M7ryx8BU+eLkcRERE5FoUaIiIiZVS6J52H/3iYJ/5+go7VO/LVBV/RpUZn+Gk07I6GSz+A8Ppulyknwy8IBk8Ga+HLa6kfWJ2Pz/2Ywc0GMyF6AiOmjyA2LdbtKkVERMoshRoiIiJl0MakjQz5eQg/bfqJW9vfyrt93yUyMBIWfgjLP4eeD0LTvm6XKcUh8hS45F3YtRSm3oe/tz+Pnv4oz539HGsS1zD4x8H8GfOn21WKiIiUSQo1REREyph52+cx5Och7M3ay3v93uOWDrfg7eUNOxbC1AehST/ofr/bZUpxanEunHU3LJ4Miz8C4LzG5/H5+Z8TGRjJLbNuYeLKiZTVDt5FRETcolBDRESkjLDWMnHlRO6YcwcNwxry5flfcnrt050n0+Lhy2shtBZc+j546Su8wun9CDTqAT/fAzuXAtA4rDGfnvcpfRv05eVFL/PYX49p2FcREZFCdEQkIiJSBmTnZvPYX4/x8qKX6dugLxMHTqRGcA3nybxc+GaEE2wM/giCItwtVkqGlzdcPh6Cq8GXQyE9EYBAn0Be6vESI9uP5PsN33PDjBtIzEx0uVgREZGyQaGGiIiIyxIzE7lxxo18v+F7RrYfyUs9XiLQJ/DAAnOfgU3z4LyXoHYHt8qU0hBczek4NHkXfHcz5OUB4GW8uK3DbTx/9vOsjF/JkJ+HsGHvBpeLFRERcZ9CDRERERet37ueIT8PYWX8Sl7o/gK3dbgNL1Po63nNL/D7y9BxKHS61r1CpfTU7QIDx8D6GfDbiwc9dW7jc5kwcAJZuVlcM/Uaftvxm0tFioiIlA0KNURERFzy247fGDp1KFm5WUwcOJFzGp1z8AIJG+G7kVCrPZz7kjtFiju63gDtroB5Y2D9rIOeahfVjs/O+4x6Veoxas4oJkdPVgeiIiJSaSnUEBERKWXWWiZHT2bUnFHUr1Kfz877jLZRbQ9eKDvd6RjUGOdyBN8Ad4oVdxgD578G1VvBtzfA3q0HPV0zuCaTBk6id73evLjwRZ78+0l1ICoiIpWSQg0REZFS5Mnz8OTfT/LiwhfpXa83EwdOpGZwzYMXshZ+vht2R8NlH0DVhq7UKi7zC4IrPnI6iv3yWvBkHPR0kG8QL/d8mRvb3sg367/hppk3kZSZ5E6tIiIiLlGoISIiUkrSPemMmj2Kb9Z/w41tb+Tlni8T5Bt0+IL/vAPLPoOeD0LTfqVfqJQdkafAJe/BrqXw451O4FWIl/Hijk53MObsMSyPW87QqUPZmbrTnVpFRERcoFBDRESkFCRkJDB8+nD+2fUPT57xJHd0uuPgDkH32zgXZjwMLc6H7veXfqFS9rQ4F3o9DMu/gL/fOuIi5zc+n/f7v09CZgJDfxnKur3rSrlIERERdyjUEBERKWHbU7Zz7dRr2Zi0kbG9xnJp00uPvGDiJvjqeohqAZe8C176mpZ8Z98LLS+EmY/ChtlHXKRzjc5MGjgJDFw/9XoWxC4o5SJFRERKn46WREREStCqhFVc88s17Mvex7j+4+hRr8eRF8xKgc+GOB1EXvkp+Fcp3UKlbPPygovfgaiW8PUwZ2ScI2hatSkfn/MxUUFR3DzzZmZsmVHKhYqIiJQuhRoiIiIl5K+dfzFs2jD8vf2ZfM5kOlTvcOQF8/KcoVvj18GgiRDRqDTLlPLCPwSu+hSMF3x2FWQmH3GxWiG1mHzOZFpHtubeX+/l09WflnKhIiIipUehhoiISAn4adNP3DbrNupUqcPH535M47DGR1/41+dhzU8w4Blo3LPUapRyqGpDGDQJEjbAdzc7gdgRhPmHFbQMGvPvGF5f/Dr2kE5GRUREKgKFGiIiIsVsUvQkHvr9ITpU78DEgROpHlT96AuvmgK/PgcdroZuI0uvSCm/GveAgWNg7S8wb8xRFwvwCeDVnq9yebPLGbdiHI/++SiePE8pFioiIlLyfNwuQEREpKLIs3m8vPBlJq+aTL8G/Rhz9hj8vf2PvsLuaOeykzpd4LxXnP40RIri1Jsgdjn89gLUaA2tLz7iYj5ePjx22mNUD6zO28veJiEzgZd7HGUoYRERkXJILTVERESKQU5eDg//8TCTV03mqhZX8WL3F48daKQnOv0i+FeBKz4G34DSK1bKP2OcIKxuV/j+FohdeYxFDbd0uIXHTn+Mv3b+xY0zbmRf1r5SLFZERKTkKNQQERE5Sdm52dwz7x5+2vQTt3e4nYdOfQhvL++jr5CbA19dBym74MpPILRW6RUrFYePvxOIBYTB51dBWsIxFx/UbBCv9HiF1YmrGT59OPEZ8aVUqIiISMkpllDDGDPQGLPWGLPBGPPgUZYZbIxZZYyJNsaoG24REakQ0j3p3D77duZsn8ODpz7Ize1vxhzvMpIZj8Dm3+CCsVC3S+kUKhVTlZpwxSeQstsJynKP3WdGnwZ9eLPPm2xP2c6wacPYlbqrlAoVEREpGScdahhjvIG3gHOAVsBVxphWhyzTFHgIONNa2xq462S3KyIi4raU7BRGzhrJ/Nj5PHXGU1zd8urjr7RwAsx/B067FToMKfkipeKr29kJyLb8Dr/cC8cZ5eSM2mfwXr/3iM+I57pp17EteVspFSoiIlL8iqOlxqnABmvtJmttNvA5cNEhy9wIvGWt3Qtgrd1TDNsVERFxTWJmIiOmj2BF/Ape6P4ClzS95PgrrZ8JP98DTftDv6dLvkipPDpcBWeNhkUT4c/Xjrt4x+od+XDAh2TmZHLdtOtYv3d9iZcoIiJSEooj1KgDbC/0eEf+vMKaAc2MMX8aY/4xxgw80gsZY24yxiw0xiyMi4srhtJERESK3570PQybNoxN+zYxttdYBjQccPyVdi2DL69zRqq4fAJ4awAyKWa9H4M2l8GsJ2DF18ddvFVkKyYMnIAXXgybPoyV8UfvbFRERKSsKq2OQn2ApkBP4CpgnDEm/NCFrLXvW2u7WGu7REVFlVJpIiIiRbcjZQfXTb2O2LRY3un7Dt3rdj/+Svt2wKdXQGBVGPIl+IeUfKFS+Xh5wcXvQP0znBFRtv513FVOCT+FiedMJMQ3hBtm3MDC2IWlUKiIiEjxKY5QIwaoV+hx3fx5he0AplhrPdbazcA6nJBDRESk3NiUtInrpl5HcnYyH/T/gK41ux5/pcx98MkgyE6Dq7/SSCdSsnz8nRF1whs4QwbHH/+yknpV6jFp4CSqB1Vn5KyR/BHzRykUKiIiUjyKI9RYADQ1xjQyxvgBVwJTDlnme5xWGhhjquFcjrKpGLYtIiJSKlYnrOb6adeTa3OZMHACbaPaHn+lXA98eS3Er4MrPoIarY6/jsjJCopwAjQvH/jkckg9/iW9NYJrMHHgRBqHNWbUnFHM2DKjFAoVERE5eScdalhrc4DbgenAauBLa220MeYpY8yF+YtNBxKMMauAucB91tpjD6YuIiJSRiyPW86I6SPw9/Fn0jmTaFa12fFXshZ+vBM2zYML34DGPUu6TJEDIho5lzql7IbProTs9OOvEhDBBwM+oE1kG+777T5+3PhjKRQqIiJycow9zrBfbunSpYtduFDXdYqIiLuW7FnCLbNuoap/VT4c8CG1Q2oXbcV5z8O8Z6HHg9DroZItUuRoVv8EX1wDLc6DwZPBy/u4q6R70rljzh38G/svT57xZNFG9hERESlhxphF1touh84vrY5CRUREyp0FsQu4eebNRAVGMXHgxKIHGks/cwKN9kOg54MlW6TIsbQ8HwaOgTU/wYxHirRKkG8Qb/R5g9Nrn85jfz3GV+u+KuEiRURE/juFGiIiIkfwz65/uHXWrdQKrsX4AeOpEVyjaCtu+hWmjIJG3eGCsWBMyRYqcjyn3QLdboF/3oZ/3i3SKoE+gbze+3XOrnM2T/39FJ+u/rSEixQREflvFGqIiIgc4o+YP7h99u3UC63H+AHjiQoq4jDje1bDF0MhsgkM/gh8/Eq2UJGiGvAMtDgfpj3oXJJSBP7e/rzW6zV61evFmH/HMDl6cgkXKSIicuIUaoiIiBTy6/ZfuWPOHTQKa8SH/T8kMjCyaCsmboaPLgHfALj6SwgML9E6RU6IlzdcOg7qdIavhzstiorAz9uPl3u+TL8G/Xhx4Yt8uOLDEi5URETkxCjUEBERyTd762zumncXzao244P+H1A1oGrRVkzeCZMvgpxMGPo9hNcv0TpF/hO/IGeo18hT4LOrYPu/RVrN18uXF7q/wDmNzuG1xa/x7rKiXcIiIiJSGhRqiIiIANO2TOOeX++hVWQrxvUfR5h/WNFWTI1zAo30RLjmW6jRqmQLFTkZQRFO8FalBnx8OexaXqTVfLx8GHPWGC5ofAFvLX2LN5a8QVkdQU9ERCoXhRoiIlLp/bTpJx747QHaR7Xnvb7vUcWvStFWzNjrXHKStN255KROp5ItVKQ4VKkB1/4A/lWc/79xa4u0mreXN0+f+TSXNr2U95e/z2uLX1OwISIirlOoISIildqUjVP4v9//j841OvNO33cI8Qsp2opZKfDJIIhfC1d+Ag3OKNlCRYpTeH24bgoYL6elUeLmIq3m7eXN46c/zuBmgxm/cjwvLXxJwYaIiLhKoYaIiFRa363/jkf+eIRTa53KW33eIsg3qGgrejKcPgliFsPlE6BJn5ItVKQkRJ7itNjIyXSCjeSdRVrNy3jxyGmPMKTFECavmswLC15QsCEiIq5RqCEiIpXSt+u/5fG/Hue0WqfxZu83CfQJLNqKOdnw5bWw5Q+45F1oeX7JFipSkmq0cvqCSU90go3UuCKtZozhwVMf5JqW1/Dx6o957t/nFGyIiIgrFGqIiEil8/W6r3n8r8c5o/YZvN77dQJ8Aoq2Ym4OfHsjrJ8B578K7QaXbKEipaFOJ6dPmKTt8PElkJFUpNWMMdzf9X6ubXUtn675lGfnP6tgQ0RESp1CDRERqVS+XPslT/79JGfVOYuxvccWPdDIy4Mf74BV30P/Z6DLsBKtU6RUNTgDrvzY6TT0k8shK7VIqxljuLfLvVzf+no+X/s5z8x/hjybV8LFioiIHKBQQ0REKo0v1nzB0/88Tfe63Rnbayz+3v5FW9FamHo/LP0Eej4EZ9xesoWKuKFJX7h8vNNXzGdXQnZ6kVYzxnB357sZ1mYYX6z9gv/98z8FGyIiUmoUaoiISKXw2ZrP+N/8/9Gzbk9e7fkqft5+RVsxLxd+ugsWjIMzRkGPB0q0ThFXtbwALn7H6TPmk0HOKD9FYIxhdKfR3ND2Br5a9xVP/f2Ugg0RESkVPm4XICIiUtI+Wf0Jz/37HL3q9eLlHi/j6+1btBVzc+D7W2DFl3D2PdD7UTCmZIsVcVv7K8DLG769yek89JpvILDqcVczxnBHxzswGMatGIfF8vjpj+NldA5NRERKjkINERGp0D5a9REvLHiBPvX78GL3F4seaORkwdfDYc1P0OcxJ9QQqSzaXg6+gfDV9TDxAhj6HYREHXc1YwyjOo7C28ubd5e9S25eLk+e8STeXt4lX7OIiFRKis5FRKTCmhw9mRcWvEC/Bv14sccJBBrZ6fDZVU6gcc4LCjSkcmpxHgz5AhI3woRzYF9MkVYzxnBbh9u4tf2t/LDxBx776zFy83JLuFgREamsFGqIiEiFNGHlBF5c+CL9GvTj+e7P4+tVxEAjK8UZ/WHjHLjwTeh2c8kWKlKWndIbrvkWUmJhwkBI3FzkVW/pcAu3dbiNKRun8MifjyjYEBGREqFQQ0REKpwPVnzAK4teYWDDgbzQ/YWiBxrpiU4fAtvnw2UfQKehJVuoSHnQ4HS4booT+E04F+LWFXnVke1HckfHO/hp00889MdD5OTllGChIiJSGSnUEBGRCuW9Ze8xdvFYzm10LmPOHoOPVxG7j0rdA5MugNgVMPgjp08BEXHU6QTX/wJ5Oc6lKLuWF3nVG9vdyF2d7mLq5qk8+PuDePI8JVioiIhUNgo1RESkwnhn6Tu8ufRNLmh8Ac+e9WzRA419Mc4PtcRNMORLaHFuyRYqUh7VaAXDp4FPAEw6H7YvKPKqI9qO4J7O9zB9y3Qe+O0BBRsiIlJsFGqIiEi5Z63lzSVv8vayt7nolIt4+syniz7aQsJGp6+A1D1O3wGn9CrZYkXKs8hTYPhUCIyAjy6GTb8WedXr21zPfV3uY+bWmdw77148uQo2RETk5CnUEBGRcs1ayxtL3uC95e9xSZNLeOrMp4oeaGz9Gz7oC1mpcO0PTt8BInJs4fWdFhth9eDjS2HJJ0Ve9drW1/LgqQ8yZ/sc7p53N9m52SVYqIiIVAYKNUREpNyy1vLa4tcYt2IclzW9jCfOeAIvU8SvtuVfwuQLISgCbpjl9BkgIkVTpaYTbDQ8C364FWY/BXl5RVr16pZX83/d/o95O+Yxet5osnKzSrhYERGpyBRqiIhIuWSt5ZVFrzB+5XiuaH4Fj53+WNECDWth3nPw7Y1QrxuMmOk0qReRExMYDld/DZ2ug99fhm9GgCejSKte1eIqHj3tUX7b8Rt3zr1TwYaIiPxnCjVERKTcsdby4sIXmRg9kSubX8nD3R4uWqCRkwXf3QzzxkD7IU4fGkERJV+wSEXl7QsXjIV+T0H0t84IQqlxRVp1cPPBPH764/wZ8yejZo8iMyezhIsVEZGKSKGGiIiUK3k2j2fmP8NHqz4qaMZujDn+iumJMPliWP4F9H4ELn4bfPxKvF6RCs8YOPNOGDzZGRL5gz4Qt7ZIq17e7HKeOuMp/tn1D7fNvo10T3oJFysiIhWNQg0RESk3cvNyeeKvJ/hi7RcMaz2MB7o+ULRAI36D80MrZhFc9iF0v8/5ISYixafVRXD9L84lKB/0g03zirTaJU0v4ZmznmHh7oWMnDWSlOyUkq1TREQqlGIJNYwxA40xa40xG4wxDx5jucuMMdYY06U4tisiIpVHTl4O//fH//Hdhu8Y2X4kozuPLlqgseVP+LAvZO6D636EtpeXfLEilVXdznDjbAirAx9fBosmFWm1C065gBe6v8CKuBXcNOMm9mXtK+FCRUSkojjpUMMY4w28BZwDtAKuMsa0OsJyVYA7gfknu00REalcPLke7v/tfn7Z/At3drqT2zrcVrRAY8knMPkiCI6CG2ZD/W4lX6xIZbd/yNdG3eHHO2DGo5CXe9zVBjQcwCs9X2Ht3rXcMOMGEjMTS6FYEREp74qjpcapwAZr7SZrbTbwOXDREZZ7GngeUC9QIiJSZFm5WYyeN5qZW2dyf9f7uaHtDcdfyZMJU+5whppscDqMmAERjUq+WBFxBITBkK+gywj463X46GJI3XPc1XrV78Ubvd9g877NDJ82nPiM+JKvVUREyrXiCDXqANsLPd6RP6+AMaYTUM9a+3MxbE9ERCqJjJwMRs0exa87fuXR0x5laKuhx18pcRN82A8WT4Kz7oZrvoPAqiVfrIgczNsHzn8FLnoLtv8L757tXA52HGfWOZN3+r7DzrSdDJs2jNi02FIoVkREyqsS7yjUGOMFvALcU4RlbzLGLDTGLIyLK9pwYCIiUjGledK4ddatzI+dz9NnPs3g5oOPv9Lqn+C9npC0Da76Avo+7vywEhH3dLzGufzLL9gZ8vWP18DaY67StWZX3u/3PvEZ8Vw/7XpiUmNKp1YRESl3iiPUiAHqFXpcN3/eflWANsA8Y8wW4DRgypE6C7XWvm+t7WKt7RIVFVUMpYmISHmUkp3CzTNvZsmeJTx39nNc3OTiY6+Q64HpD8MXV0NkY7j5N2g+sFRqFZEiqNkGbpoHLc+HWY/D50MgY+8xV+lQvQMf9P+AlOwUrpt6HVuTt5ZOrSIiUq4UR6ixAGhqjGlkjPEDrgSm7H/SWrvPWlvNWtvQWtsQ+Ae40Fq7sBi2LSIiFUxSZhI3zLiB6IRoXu7xMuc0OufYKyTvhInnw99vQtcbYPh0qNqgdIoVkaILCIVBk2Dg87B+BrzXA3YuOeYqrau1ZvyA8XjyPFw/7Xo2Jm0spWJFRKS8OOlQw1qbA9wOTAdWA19aa6ONMU8ZYy482dcXEZHKY0/6HoZNH8aGvRsY22ssfRr0OfYKG+c61+nHroDLPoTzXgYf/9IpVkROnDFw2kgYNs0ZEeXD/rBw/DEvR2ke0ZzxA8ZjMFw/7Xqi46NLsWARESnrjD3ONY1u6dKli124UI05REQqi23J27hp5k3szdzLG73f4NRapx594bxc+O0lmDcGoprD4MnOVETKj7QE+PZG2Dgb2g52OhX1r3LUxbcnb+fGmTcW7TNCREQqHGPMImvtYd1YlHhHoSIiIsezNnEt1069ljRPGuMHjD/2j5WEjTB+IMx7FtoNhhvnKNAQKY+CI+Hqr6HXI7Dya3jnzGOOjlIvtB6Tz5lM7ZDa3DLrFuZsm1OKxYqISFmlUENERFy1dM9Shk0fho+XD5MGTqJ1tdZHXjAvD+a/7/zwiV8Ll34Al7znjKggIuWTlxf0uA+GTQXjBRPPg2n/B56MIy5ePag6EwdOpEVEC+6edzc/bPihlAsWEZGyRqGGiIi45o+YP7hxxo1EBEQw+ZzJNA5vfOQFk7bDRxfD1Pug4Vlw6z/QbpBzfb6IlH/1T4Nb/nQ6+/3nLaevnB2LjrhomH8Y4/qPo2vNrjzy5yN8tOqjUi5WRETKEoUaIiLiimmbpzFqzigahjVk0sBJ1A6pffhC1sKSj+Ht0yFmEVzwOlz9FYQeYVkRKd/8guG8l2Do905LjQ/7weynISf7sEWDfIN4q89b9GvQjxcWvMAbS96grPYTJyIiJUuhhoiIlLov137J/b/dT7tq7Rg/YDyRgZGHL5QSC59dCT/cBrXaO2dxO1+n1hkiFd0pveDWv6D9lfD7SzCuN8SuPGwxP28/Xuz+Ipc2vZT3l7/Ps/OfJc/muVCwiIi4ycftAkREpPKw1vLhyg8Zu3gs3et256UeLxHoE3j4giu/gZ/vcc7WDnwOTr3ZufZeRCqHgDC4+G1ocT78eCe83xN6PQRn3AneBw5fvb28eeL0JwjzC2NC9ASSs5P531n/w9fL173aRUSkVCnUEBGRUpFn83h10atMjJ7IuY3OPfIPj6RtMO0hWPMT1OkCl7wL1Zq6U7CIuK/FuVCvG/x8N8x+ClZNcYZ+rdO5YBFjDHd3uZsw/zBeW/waKdkpvNTjJYJ8g1wsXERESotOe4mISInLzs3mwd8eZGL0RK5sfiVjzh5zcKCRkw2/vwxvngob50DfJ2H4dAUaIuIM/Tp4Elw+wbksbVwf+PEuSE88aLERbUfw2OmP8efOPxkxfQTxGfHu1CsiIqXKlNVOlbp06WIXLlzodhkiInKS9mXt4865d7Jo9yJGdx7NsNbDMIX7xdg4F365DxLWQ8sLYcCzEF7PvYJFpOzKTIZ5z8H8dyEw3AlAO1x90OVpc7fN5f7f7icyMJJ3+r5Do7BG7tUrIiLFxhizyFrb5dD5aqkhIiIlJiY1hqFTh7I8bjnPn/08w9sMPxBoJO+Er653hmq1uXD1N3DFRwo0ROToAkJh4LNw829QrRlMuR3GD4BdywsW6VW/FxMGTiAjJ4OhU4eyePdiFwsWEZGSplBDRERKRHR8NFf/fDXxGfG83+99zm18rvNErgf+egPe7Aprp0Kvh+GWv6FpX3cLFpHyo2YbGDYVLn4HEjfB+z3gl/shcx8Abaq14eNzP6aqf1VunHEj07dMd7lgEREpKQo1RESk2P26/VeGTR+Gv7c/H5/zMV1q5rcU3Pw7vHs2zHgEGp4Ft82HHveDb4C7BYtI+WMMdBgCoxZBlxGwYBy80QWWfQ55edSrUo+PzvmINtXacO+v9zJx5UTK6mXXIiLy3ynUEBGRYvXl2i+5Y+4dNAprxCfnfULj8MawOxo+GQyTzgdPGlz1OQz5Aqo2dLtcESnvAsPhvJfgxrkQXh++u9lpubFxDuEB4bzf/30GNBzAy4teZsy/Y8jNy3W7YhERKUYa0lVERIpFns3j9cWv8+HKD+lRtwcvdH+BoLR4mDbSOXMaEOp06tftZvANdLtcEaloaneAETNh5dcw52n46BJo1AP/vk/wQvcXqBVci4nRE4lNi+X57s8T6KPPIRGRikCjn4iIyEnLzs3mkT8fYermqQxuNpiH2tyEz59jnebgGDhtJJw1GgKrul2qiFQGOVmwcAL89gKkJ0DrS6D3o3wW9y/P/fscrSNb83rv16kWWM3tSkVEpIiONvqJQg0RETkpe9L3MHruaJbHL+eu9rcyfF8K5q83IDvVud6950MQVtftMkWkMspMdjom/vstyM2CTtcxt+nZ3L/gWcIDwhnbayytIlu5XaWIiBSBQg0RESl2y+KWMXruaFI9qYyp2Yc+S76B1N3Q/Dzo8xhUb+F2iSIikLLbabWxaCJ4+7G68xDuTFlGYlYST57xJOc1Ps/tCkVE5DgUaoiISLH6dv23/O+f/1HDO5DX45JouncH1D/d6Tejfje3yxMROVzCRpjzP4j+loTAMO6pfwqLsuO5vvX13NXpLry9vN2uUEREjkKhhoiInJTvl8Tw4vS17ExKpXr9H0kP/oczsnJ5IXYXYXW7wdn3QJO+zjCLIiJl2a5l8PvLeFZN4YVq1fi8SiDNglqza9PV7NrrRe3wQO4b0JyLO9Zxu1IREcmnUENERP6z75fE8NC3KwjI20FU3Q/ZFZTK9UnJXOXbmtrnPQINznC7RBGRExe3Dv54la83/cizkeGEeHzJ23EFO7LaEujrzZhL2yrYEBEpI44Wani5UYyIiJQvE6f9ybV+71Ct0SskBiRzZWwYc2PvZVDyvQo0RKT8imoGl7zDZ1kvMWhHA7y8sshu+BE3h79Ag5zNvDh9rdsViojIcfi4XYCIiJRhu5bB/PcZ7v09T9cMxy/Xj6CtlzMusyMAJinD5QJFRE7e4uQqLOJWqm3eTli9CXxaK5GRAWNontAQNuRB497gpXOBIiJlkUINERE5WK4HVk+B+e/j2f4Pr1aL4qMaEXin1yF+xzBsbkjBorXDA10sVESkeNQODyQmKYP4nHrEb3mIKjW/5t2qyzjdfw9dPh1EeNXGcOpN0P4qCAh1u1wRESlEkbOIiDhS98CvL8BrbeHr4WxN38U1LTrzUZVAukVeSNbO2w8KNAJ9vblvQHMXCxYRKR73DWhOoG/+yCfWl5RdV5IbdzH/BgdyWZOWLAgMhKn3wyut4Jf7IH69uwWLiEgBhRoiIpXdjkXw7U3wamuY+wxUb8WP/R5gcEQgO2wWr/V6jQ/Of4Yxl3akTnggBqgTHqgO9ESkwri4Yx3GXNq20GdcEM/2Gcmn531CYGAEN/il8FbvUeQ0PwcWToA3u8BHl8DaaZCX53b5IiKVmkY/ERGpjDL3wcpvYPFHsHMx+FWBDkNI63QN/1v/GT9t+olO1TvxfPfnqRlc0+1qRURck+5J55n5zzBl4xQ6Vu/I853vo9bqqbBwPKTsgqoNoeNQ59KUMAW9IiIlRUO6iohUdnl5sOU3WPIxrP4RcjIhqiV0GQ4driI6dRv3/3o/O1J3MLLdSG5qdxPeXt5uVy0iUib8tOkn/vfP//AyXjx1xlP0rdvD+Sxd8CFs/QOMFzTuBR2vgebngm+A2yWLiFQoCjVERCqrvVtg6aew9DPYtw0CwqDN5c6Bd+2O5GH5aNVHvLb4NSIDInm++/N0rtHZ7apFRMqc7cnbue+3+4hOiGZws8Hc1/U+AnwCIHHTgc/Z5B0QEA5tB0HHq6FWBzDG7dJFRMo9hRoiIpVJVqpzBnHpJ7Dld8DAKb2gw9XQ4vyCM4jxGfE88ucj/BnzJ33q9+HJM54kzD/M3dpFRMowT66HN5a8wYToCTQJb8IL3V+gadWmzpN5ubD5V1jyifMZnJsF1Vs74UbbQRBS3d3iRUTKsRINNYwxA4GxgDfwgbX2uUOevxu4AcgB4oDh1tqtx3pNhRoiIicoOx3Wz4Dob2HdDMjJgKqNnCCj/ZUQXq9gUWstM7bOYMz8MaRkp3B/1/sZ3HwwRmcTRUSK5K+Yv3joj4dI86RxW4fbGNpqKD5ePgcWyNjr9F205BOn7yLjBQ3PhjaXQosLIDjSveJFRMqhEgs1jDHewDqgH7ADWABcZa1dVWiZXsB8a226MeYWoKe19opjva5CDRGRIvBkwoZZTpCxdhp40iA4ClpdBG0ug/qnH9bsOTYtlmf+eYZ5O+bRMqIl/zvrfzSr2sylP0BEpPyKz4jnqb+fYu72ubSMaMkTZzxBq8hWhy+4ZzWs+Nr5rE7cBMYbGvfMDzjOg8CqpV67iEh5U5KhxunAE9baAfmPHwKw1o45yvIdgTettWce63UVaoiIHEVONmyaCyu/hbW/QFYyBEZAqwuh9aXQ4Ezw9jlstTybxxdrv2Ds4rHk5uVye8fbubrl1QefWRQRkRNirWXWtlk8O/9Z9mbuZWirodza4VYCfQKPtDDELnc+v6O/haRt4OULTfo4n9/Nz4GA0NL/I0REyoGjhRrFcSRbB9he6PEOoNsxlh8BTC2G7YqIVB4Ze2H9LCfE2DDLCTICwqDlhdDmEmjUA7x9j7r6xqSNPPHXEyyNW8rptU7n0dMfpV6VekddXkREisYYQ78G/ehWqxuvLHyFidETmbV1Fo+d/hin1z790IWhVnvn1vcJiFnshBvR38G6aeDtB426O+FGs3M0RKyISBEUR0uNy4GB1tob8h8PBbpZa28/wrLXALcDPay1WUd4/ibgJoD69et33rr1mN1uiIhUbImbnEtK1v4CW/8Cm+tcWtJsoNPZ5ym9wcfvmC+RnZvNBys+YNyKcYT4hnB/1/s5v/H56jtDRKSELIhdwFN/P8WW5C1ceMqF3NflPsIDwo+9Ul4e7FgAq6c4n/mJm5z5Nds5w8M2P8cJQvTZLSKVmOuXnxhj+gJv4AQae473urr8REQqnbxciFnkHNCunQpxa5z51Vs5QUbzc6FOZ/DyKtLLLdmzhCf+eoJN+zZxXuPzuL/r/UQERJTgHyAiIgBZuVm8t+w9JqycQKh/KPd3vZ9zG51btEDZWohff+C7YPt8wEJonQPfBQ3PBN8jXN4iIlKBlWSo4YPTUWgfIAano9Ah1troQst0BL7GadGxviivq1BDRCqFvVth4xzntvlXyNwHXj7Q4AznwLXZQIhodEIvuTN1J28tfYspG6dQO7g2j57+KGfVOauE/gARETmadXvX8eRfT7I8fjndanZjdJfRtI5sfWIvkhYP66bDuqmwYY7TIbRPgNMR9Cm9nVuN1mrFISIVXkkP6Xou8BrOkK7jrbXPGGOeAhZaa6cYY2YBbYFd+atss9ZeeKzXVKghIhVSZjJs+R02znWCjMSNzvzQOnBKr/wD1D4QGH7CL52UmcS4FeP4bM1nGAxXt7qake1GEuQbVLx/g4iIFFluXi5frvuSd5a+w96svQxsOJBRHUdRP7T+ib+YJzP/OyQ/DN/foi+kBjTO/w5p3BOq1CjWv0FEpCwo0VCjJCjUEJEKITvduU56619OS4zt/zp9Y/gGQcOzD5xlq9b0P59ly8jJ4JPVnzB+xXjSctK48JQLua3DbdQMrlnMf4yIiPxXqdmpTIyeyORVk/Hkeri82eWMbD+SyMDI//6i+2Jg0zwn4Ng0F9ITnPk12jjhRoMzocHpGjJWRCoEhRoiIqUhK9W5/nnrn7DlT6ePjDwPGC+nw7f9IUa9U8HH/6Q2lZOXww8bfuDtpW+zJ2MPPev25I5Od9C0atNi+mNERKS4xaXH8e6yd/lm/Tf4e/tzfevrubb1tQT7Bp/cC+flOcPF7m/Fsf1fyM0CjBNyNDzTubSxwZkQXK1Y/hYRkdKkUEOknMnOzWZ32m52pe0iNj2WPel7yM3LxXLgPVtwv9DbOMg3iIiACCIDI4kMiCQyMJKq/lXx9vIu5b+gkkhPzG+JkR9i7FzitMQw3lC7o3MA2fAsqH+aMwRrMbDWMmf7HMYuHsvmfZtpH9We0Z1H07lG52J5fRERKXlb9m3h9SWvM3PrTCICIhjZfiSXN70c32MMz31CPJkQs9BpKbjlDyfkyMlwnotq4YQbDc+EuqdCWF31yVECrLUkZyeTkJFAQmZCwTQ5K/nAQmb/xBSaZTDGEBkQSa3gWtQMqUnNoJq6nFQqPYUaImVQVm4Wy+OWszZxLbvSdjkBRlosu9J2EZ8RX2zb8TJeVPWvWhB0RAVF0SisEY1CG9EovBH1qtTD16uYDqIqsrxc2LPKOTDcscCZ7u8Tw8vXGZmk4ZnOgWK9buAfUqyb9+R5mLV1FpOjJ7MyYSUNQxtyV6e76F2/t4ZoFREpp5bHLeeVRa+waPci6oTUYWiroVzc5OKTb7lxqJxsJ3jf+ocTwm+fD9mpznNVakHdrk4rwrqnOsPH+gYU7/YroDybx660XWxK2sTmfZvZnLyZ2LTYgvAiMTORnLycYttemH+YE3IE16RWcC1qBdeicVhjOtboSKhfaLFtR6SsUqghUgZk52azPG45C2IXsGD3ApbtWUZ2XjYAAd4BB76kQg7+wqoZXJPqQdULgoeD0vz8H7MGg8WS5kkjPiP+sLMChaexabHEZcQVvIaP8aFulbo0CmtE47DGTuAR1ogm4U0q91mB1D0Qsxh2/OsEGDGLnV7nAYKq5R/85R8E1u4EfiXzb5WUmcTX67/mszWfsSd9D/Wr1GdYm2Fc3ORifLx8SmSbIiJSeqy1/B7zO+8vf59lccsI8Q3h4iYXM6TlEOpVqVcyG83NcS5X2bHgQFCftNV5zssXarVzAo56XZ3QPrxBpW3N4cn1sGmfE1zsn27et5ktyVvIys0qWC7MP4zawbUPai0bGRBJtcBqB80L9QvFy3gVtLgt/Hts/7w8m0d8RvxBJ7z2T3el7SI2NZYUTwrgnLxqEdGCrjW6cmqtU+lYvSNV/KqU4r+QSOlQqCHiAk+uhxXxK/g39l8Wxi5kadxSsnKzMBjny6dmV7rW7Erbam2JCIgo1bPtqdmpbEnectgX9LbkbeRY56yCl/GiUWgjWkW2omVkS2ca0bJiBh2pe2DnUti11DmTtXMppOx0njPeULNN/sFdfpBRtWGJH9xtTNrIx6s/5qeNP5GZm8lptU7jmpbXcHbds/EyXiW6bRERcceKuBV8vPpjZmyZQa7NpVe9XlzT6hq61OhS8scJKbvzQ45/YcdCJ8zff8lKYFWnBUftjlCrA9TuUCGDjuzcbNYnrWdVwipWJ6xmVcIq1u1dhyfPAzgnkWqH1D7sRFCjsEZEBESUaq0p2SmsSVzDv7H/siB2AcvjluPJ8+BlvGgV0argOLNTjU7F3/JHxAUKNURK0bq96/hq7Vf8vOnnghS9edXmBV8unWt0Jsy/ePpXKG6ePA87Unawad8m1iSuKfhS39+yw2BoGNaQlhFOyNE6sjWtIluVn6DDWkjeCbtXwq5lB4KM5Jj8BQxENnEO1mp1cA7eancAv9I5GMizefwR8wefrP6Ev3b+hb+3P+c3Pp+rW16tDkBFRCqR3Wm7+WLtF3y17iuSspJoXrU517S6hnManYO/98l1NF1kuR7n+3J/2L9ziXMZ5v5LKgKrHgg4anWAmm2d0L+c9OPlyfWwLmkd0fHRrEpYxaqEVaxPWl9wyUgV3yoFJ3VaRLSgSXgTGoQ2IMCnbF6ak5mTybK4ZQUn05bHLycnLwcfLx/61u/LoGaD6Fqzqy5ZlXJLoYZICcvMyWT6lul8te4rlsUtw8/Lj34N+9Gvfj861+hMeEC42yWelLj0OOcLP3FVQdCxO3034LToaBLehLbV2tIuqh1tqrXhlLBT3O+c1JMBe1bD7mjnoGz/NGPvgWUimxYKMDo4I5QElP51qRuTNjJjywx+2fwLW5K3UD2wOle2uJLLm11O1QANxSciUlll5mTy86af+Xj1x2xI2kBEQATnNjqX/g370z6qfem33MvJcr5Pdy7Jb9249OCgwzcIqreCGq2dkKNGa+dWTJ1l/1fWWnak7mBF3ApWxDu31QmrCy4DDvULpVVkq4LWqa0jWlO3St1yHQBk5GSwdM9Sft3xK1M2TiElO4WGoQ25vNnlXHjKhTq+kHJHoYZICdmwdwNfrfuKHzf9eNCXxUWnXFTug4zjic+IZ1XCKpbHLWdl/EpWxK8gOdvp0TvQJ5DWka1pG9WWdtXa0TqyNTWDa5bMwUGuBxI3Qdwa2LMG4vKDjIQNYPOcZXyDoUb+QVaNNvm31q4EGOAcXK1PWs/MrTOZsWUGm/ZtwmDoXKMzg5oNol/Dfuq8VUREClhrmR87n8/XfM7vO34nOy+b6oHV6dugL/0a9KNj9Y7unUzwZB747o1dmX8i4ZCTCGH1nUs5o1o4t+otnBMLJdQf1d7MvUQnRDsBRtwKVsavZG+WU0+AdwCtIlvRplob2ka1pU1kG+qE1CnXAcbxZOZkMmPrDL5e9zVL9izB18uXvg2c1hulcmmTSDFQqCFSjDy5HqZtmcZX677SF0Mh1lq2Jm8tOAOyIm4Fa/auKWjGGREQQevI1rSp1obWka1pXa011QKrFaz//ZIYXpy+lp1JGdQOD+S+Ac25uGOdAxvIyXLCiz2rIW6tE2LErXHCi4LexQ2E13dCi5ptDoQYVRuBl7v9UFhrWbt3LTO2zGDm1plsSd6Cl/GiS40u9GvQj74N+h707yEiInIkaZ40ft3+KzO2zuCPmD/Iys2iWmA1+tTvw4CGA+hUvZP7rSWthZRdB4cc+084FP7OrtogP+hoDlEtnWm1ZoeNIHasY4SU7BRWJawiOiGalfErWZWwipjUmPwtGBqHNaZtVFvaVnNuTao2qdQnDtbvXc/X677mx40/kuI5cELukqaXaBQVKdMUaogUA2stc7bP4ZWFr7AtZRsNQhtwedPLubDJhaXeOVR5kZ2bzZrENUQnRBMdH010QjSb9m0iL78FRY2gGrSObI2Xpz7TF3uRkRZF9ZxcTvGKpbnPbq5pks0pXrGQsB6Sth1oeYFxrtutnn8AtP/MT7Wmpdb/xfFYa9mVtoule5ayLG4Zf8T8wbaUbXgZL7rW7Er/Bv3pXb+3ggwREfnP0j3p/LbjN2ZsncHvO34nMzeTiIAIzq5zNh2rd6R9VHsahzcuOx1M52QfaF1ZcFsL8eshvzNOwBlmNrIJVGvKiswo3lxmWJNTnR1eQeAfh3/Qbjo2TSE5zxmFZL86IXUKTqDs7/srxK94h1ivKDJyMgounV4et5xw/3BuaX8Lg5oPqtShj5RdCjVETlJ0fDQvLnyRRbsX0TisMXd3vpvudbtX2lYZJyM9K5U1MX+wMuYfohNWsSptO1tyUgueD8nL45RsD02zs2ngsbQKqUWT8CZEVGvphBb7wwvfQBf/isNl52azKmEVy+KWObc9y9iTsQdwLsfpWL0jfRv0pU/9PgrBRESk2KV70vk95ndmbJnB/Nj57MvaB0AVvyq0i2pHh6gOtI9qT7uodmVvNIxcDyRudi5jiV9PWvwaNuxdx4bUnWwwHtb7+bHez5dE7wMtUKrk+NI1vB6tI1rQumZXWjfoQXhQlIt/RPkVnRDNqwtfZX7sfBqGNuTuznfTs15PHedKmaJQQ+Q/ik2LZezisfy06SciAiK4rcNtXNr0Uny8fNwurWzLSnVaViRtc8a9T9wMezfnT7dAoXHd8fIhOi+Sf3yrsdwvmM1+PuzxyybNLxl8MgsWiwyIpHF4Y2oF16J2SG1qB9cumNYMromvd+mcVUjOTmZn6s6C247UHQWtUPYP+VYnpA7to9rTobpzANmsajP9nxERkVKz/5LQpXFLC1oMbkzaiMUWdPDdLqod9avUp1ZILeoE16F2SO1SG2I+Ny+XuIw457s0bSe7UncVTLckbym4fASAPF8CssKIzPanYbalVXY63TwJtM/bQ4Ap1LrDeEN4PeeS04hGzrRqA2fo2fD6zmgt+pF+VNZaft3xKy8vfJktyVvoWrMr93a5l1aRrdwuTQRQqCFywtI8aXy44kMmr5qMtZahrYZyQ9sb1IRxv8xk2LcD9m0/EFzsDzH2boWMxIOX9w3OP8BoeOBAY/80rB5nvvgbMUkZh2zEUivCw8vX1GDD3g2sT1rPln1b2Jm2k7j0OCwHPr8MhqjAKGqF1KJWcC1C/UIJ9gsmxDeEYN/gw24hviEYY/DkesjKzSIrN+vA/bwssnOzyc7NJs2Txq60XcSkxrAz1TnY2j9M736BPoE0r9r8oBAjSmeKRESkjEnOTmZF3AqWxS1j6Z6lRCdEF3TwvV+AdwC1Qg4+eRDqF4q/tz/+3v74evseuO914D7GaSmS6kklzZN22C01O5VUTyqxabHsStvF7rTd5Nicg7YdERBBreBa1K9Sn6ZVm9IkvAlNqjbhirfWsjMpi0PVDfPnj9taHXLiJH+auAkykw5ewa+KE26E188PO/Lvh9VzbkERCj0AT56Hr9d9zTtL3yEpK4kLTrmAOzreQY3gGm6XJpWcQg2RIsrNy+W7Dd/x5pI3SchM4JxG53BXp7uoHVLb7dJKjyfT6dwrOSY/uCh02z8v6+CDILz9DxwcHHSw0MA5UAipfswDhe+XxPDQtyvI8OQWzAv09WbMpW0P7ix0f4m5HmLTYwtaS+xK21UwjU2LJSU7hTRPWsFQbScj2Df4oIO7OiF1qBVcizohzlmtcP9wNc8UEZFyKSU7peD7syDAL3Q/KSvppLfhY3wKTjRUD6pe0OKycMvLmsE1CfI98kgoJ3qMUCBjb6FWo9sOPvmStBWyUw9e3icQwupAWF0IretMCz8OrQX+VU7636O8SM5O5oPlH/Dx6o/xNt5c3+Z6hrUedtT9JFLSFGqIFMGWfVt48PcHiU6IpmP1jtzb5V7aRbVzu6zik5fntKBI2QXJuyBl5yHTXZC88/BWFgBBkUf+kg+r5wQXwVEnPbrIcUc/+Q88uR7nDFGhM0f77+fZPPy9/fHz9iuY+nn74e914GxUkG8QVXyrKLQQEZFKaX/ri6zcA60Y99/Pys0iO8+Zl2fzCPENIcg36LBWkv7e/if9PVrsxwjWHhx6HHoiJzkGUmKBQ34r+VWB0NpOwFFl/7SWM69K/v3gKPCuOJec7kjZwdjFY5m2ZRo1gmrw7FnPcmqtU90uSyohhRoix2Ct5bsN3/Hcv8/h5+3Hw90eZmDDgeXnh2xOFqTugbQ9zjQlFlJ3Hz5N3V1oGLX9jPPle9CXc/40tI4TWoTWLrFx5EVERETKpJxs54TP/qDjSCeDUmLB5h68nvGCoGpQpQaE1Cw0rQkhNfJvURBc/bCha8uypXuW8uifj7I1eSvD2wznto63aZQUKVUKNUSOYl/WPp78+0lmbp1Jt5rdeOasZ9y/ZtBayNwHafGQHu9M0+KcW0F4EXdgmt+7+WGCIg/5Mi00Da2Tf0ahJpRSB5siIiIiFUpernN8lrwzP+TYBSm7ITX24GnankLD0hfiG+ScXAqp7oQcIVFO6BEcBcHVnGlQNed+YFXw8j78NUpRuiedFxa8wDfrv6FNZBue7/489UPru1qTVB4KNUSOYEHsAh76/SESMhIY1WkU17e+vmTGcfdkOpd0pCdA+v5pgtPsMT2hUHiR4HwxpiccPFZ7YQFh+V961Q//Egyu7nwRVqnh3PfxK/6/RUREREROTF6uc7yXGuucoDrsJNXuA/fTEznsshdwWoAERhQKOyKd+0GRzvygSKez08JT36AS6fx05taZPPHXE3jyPPxft//jolMuKj8tnKXcUqghQuHrMVOJqDcPT8gs6ofW5/mzn6d1tdbHfwFPBmQkOb1pZyQ5oUTGXiewKLi/1/kyytibv0zi4R1RFeYfBkFVCyXxkQen8sHVCt2PAh//4vnHEBEREZGyJzfnQEvdgha7h7TeLXxSLCOJI4YgAD4B+YFHhNPSIzA8f7r/8aG3cAgIB7/g44YhsWmx/N8f/8eC2AUMaDiAzsE38uasmGLtG02kMIUaUul9vySGR75dijfbMHW+JTcwlmrJTXiy0UC61w5yLvcouCUdHF7sn+YePpxYAeN95C+HgrR8f3JeKE0PrKrWFCIiIiLy3+XlOsep6QmFWgYXbh18yMm3/Sfjco8xQpyXjxNu7A85DpqGOTf/UHL9qzAhYSFvbJ2K8QTjFXMRqRnNyca3aCPUiJwAhRpSvuXmQHYKZO2/peZPk51pdipk5t/P2lfofnL+/WQyUpOYFeLN/yIj8LbweHwCA9IzDtmQgYDQ/A/r8KN8kBeaBhVKuf1DNba5iIiIiJR91oIn/eBWxkc8qbf38HmZyYd1jrrCz48HqkcS4+PDjUnJDNubTjqBZHoFU69mDef42j//FhDqDI3rv396yM0v5MBzOvknhRwt1Kg4Yw1J2ZGXBzkZkJ3uhA3Zafm3Q+/nP85KdQKLgvuph8/LOTR8OIr9H4L7PywDwiG8Prl+Vbhp8wqWVk2gWnoYLXZ15qucSD60QaQQzNQHznfW8aty0sOSioiIiIiUacY4l5j4BUNY3RNb19r8Y/TkglbOr747i4ZpyVBjKe9VNUz1q8tlu6oTmZdFvZAQJwhJ23zQCcejXjJTmLdf/vF9iHOc7hecfz/kQABSeN7+v+lo932DXO9sVYqfQo1iVOzjZ5eUvDzIyXT6h/CkH2Ga7gQSR7yfdmC57NQDz2WnHTwtMlPog6rQNLzegQ8h/0Jp7f4PsIJ0N+TgVPcIH1LpnnQe+v0hllZNIDvxDDbvPp/NHAgu6oQHOtsTEREREZFjMyb/GDwEQmsDsDY0nZikDNjZA9/0+Wyt+QMv1U0nbN9ILrr60sNfIy/P+c2QVagl9kGtsgvPTy104jPFCVL2xeSfKM1vwX3osLrH4hPghBt+IeAXlH8/P/DwCwLf4APzC+YFHfy8b2D+LeiQaWCZDU3KzW/V/0ChRjH5fkkMD327ggyP84aKScrgoW9XABz7P4u1kOtxWiLkZDlhw/6pJzP/cX4AUXha8HzGwVNP+uHLF9xPP3D/RHn5HHgDF36zB4Q6Q4IWTj8LT4+XmPoGluglG/EZ8dw++3ZWJ67m3NojmbLhFODAh16grzf3DWheYtsXEREREano7hvQvOC3kCepG3meqgTW/QRT53XWJLaiRUSLg1fw8joQjFDr5DZurfP76Ygtw9MOnIzNSj38ZGzB/XRnON79v5f2zz9WvyNH4+13IOjwCTgQdvgEgm/AgVDFN6DQvEOnAQfWLZj658/3d5Yr/Pg4v6f+82/VckJ9ahSTM5+bQ0xSBm2C5xIY8SvXx1YhiBxCfXPpXDvo4LDi0GlRml4djZdvof/sAYXePIXfKIEHnjtSouhzyHOF00jfQCd88PYttn+r0rJh7wZunX0rSVlJvND9BXrW61mhE0oREREREbccepw9tLsvX8c8SXJ2Mi/1eInudbu7XeKJy80p1KI9v8V6QSv2jEInlNMPnEw+qAX8ISedDzrZXOhE9LEGIygKb/9CYYi/87ggAAngn+1pJHu8+DwqjYz0JvydNARwWqz/+WDvYviHKh3qU6OE7Uxy+nwI8kphdUgm+4IzqZPuS3aOrxMKBEUWStP8Cv3HK5SyFU7lCidw+4OHgmUKzS+jzZvc9vfOv7l73t0E+AQwYeAEWkc6w7Ve3LGOQgwRERERkWJ2pOPsS9M/5fbZtzNqzigeOvUhrmxxpUvV/UfePuCd319fSdrfPcChrfQLt84vfGLcU/hxoeVyswrNzy5Y3j8nhWCfbBaEQUdPQsFm9/+GLe8UahST2uGBxCRl8G/qOYTkLuTJgA5kJV3qpF/Xlp/0qyL4bv13PPX3UzQKb8Rbvd+iVshJNmkTEREREZETVj2oOhMHTuSB3x7gmfnPsD1lO/d0uQcvo475D+Ll5bSW9wsqkZe//bk57GEeAXzHH8mDCubXDg8ske2VNv1vKib3DWhOoK83WF9y0lrgU2UVgb5G/TWUojybx+uLX+exvx7j1FqnMnngZAUaIiIiIiIuCvIN4rVerzGkxRAmr5rM3fPuJqOoIxtKsbhvQHP8QqPJy44kL6sGULH6FlSoUUwu7liHMZe2pU54ILkprfHySWXkAB9d6lBKsnKzePC3Bxm3YhyXNb2MN/u8SYhfiNtliYiIiIhUet5e3jzU7SEe6PoAc7bNYcT0EcRnxLtdVqXRp3UoviGbCMhuj8FQJzyQMZe2rTC/VYvl8hNjzEBgLOANfGCtfe6Q5/2ByUBnIAG4wlq7pTi2XZbsv44sNftUzv7iKzz+y4H+bpdV4WXkZDBqzijm75rPXZ3uYnib4ZgSHFFFRERERERO3DWtrqF2SG0e/P1Brp16LeMHjKdmcE23y6rwftvxG7k2h4mDhtGhege3yyl2J91SwxjjDbwFnAO0Aq4yxrQ6ZLERwF5rbRPgVeD5k91uWRbiF0K3Wt2Ys30OZXV0mYoi3ZPOrbNuZUHsAp456xlGtB2hQENEREREpIzqXb834/qPY2/mXq6fdj0xqTFul1Thzdk2h8iASNpFtXO7lBJRHJefnApssNZustZmA58DFx2yzEXApPz7XwN9TAX/5dmnfh+2p2xnfdJ6t0upsNI8adwy6xaW7FnCmLPGcOEpF7pdkoiIiIiIHEf7qPZ80P8DkrOTGTZtGNtTtrtdUoWVlZvFHzF/0Kt+rwrbQWtx/FV1gML/C3fkzzviMtbaHGAfEHnoCxljbjLGLDTGLIyLiyuG0tzTq14vDIbZ22a7XUqFlJKdwk0zb2J53HKe7/485zY+1+2SRERERESkiFpXa82H/T8kPSedYdOGsTV5q9slVUj/7PyH9Jx0+tTv43YpJaZMRTXW2vettV2stV2ioqLcLuekVAusRvuo9szdNtftUiqcfVn7uGnGTayKX8VLPV5iQMMBbpckIiIiIiInqGVkSz7s/yHZudkMmzaMzfs2u11ShTNn+xxCfEPoVrOb26WUmOIINWKAeoUe182fd8RljDE+QBhOh6EVWp/6fViduFrXiRWjpMwkbpxxI2v2ruGVnq/Qp0HFTRxFRERERCq65hHN+XDAh+TaXIZNG8bGpI1ul1Rh5OblMm/7PM6ucza+3r5ul1NiiiPUWAA0NcY0Msb4AVcCUw5ZZgpwXf79y4E5thL0oNm7fm/A6ZhFTt7ezL3cMOMGNiZtZGyvsfSq38vtkkRERERE5CQ1rdqUCQMmYIxh+PThrN+rfgmLw5I9S0jMTKR3g95ul1KiTjrUyO8j43ZgOrAa+NJaG22MecoYs7/nxg+BSGPMBuBu4MGT3W55UD+0Pk3CmyjUKAYJGQmMmDGCLclbeKP3G3Sv293tkkREREREpJg0Dm/M+AHj8TE+DJ8+nLWJa90uqdybs30Ofl5+nF3nbLdLKVHF0qeGtfYXa20za+0p1tpn8uc9Zq2dkn8/01o7yFrbxFp7qrV2U3FstzzoU78Pi/csJjEz0e1Syq34jHhGTB/B9uTtvNnnTc6oc4bbJYmIiIiISDFrFNaICQMnEOATwIgZI1iVsMrtksotay1zts3htNqnEewb7HY5JapMdRRaEfWp34c8m8ev2391u5RyKSEjgeHTh7MzbSdv932b02qd5nZJIiIiIiJSQuqH1mfCgAkE+wRzw4wbWJ2w2u2SyqW1e9cSkxpD73oV+9ITUKhR4lpEtKB2cG0N7fof7Mvax80zb2ZX6i7e6fsOXWt2dbskEREREREpYXWr1GXCwAkE+wYzctZINu2rNA39i83sbbPxMl70rNfT7VJKnEKNEmaMoXf93vy982/SPelul1NupHvSuXX2rWzat4mxvcbSuUZnt0sSEREREZFSUjukNh/0/wCD4cYZN7IjZYfbJZUrc7bNoUNUByIDI90upcQp1CgFvev3Jjsvmz9i/nC7lHIhKzeLO+bcQXR8NC92f1F9aIiIiIiIVEINQhvwXr/3yMzJ5MYZN7InfY/bJZUL21O2s27vOvrU7+N2KaVCoUYp6Fi9I1X9q+oSlCLw5Hm4d969zI+dz9NnPk2fBpXjjSgiIiIiIodrHtGcd/u+S2JmIjfNuIm9mXvdLqnM2z/6Zu/6Fb8/DVCoUSp8vHzoUa8Hv+/4HU+ux+1yyqzcvFwe/uNh5u2YxyPdHuGCUy5wuyQREREREXFZ26i2vNnnTXak7mDkrJGkZKe4XVKZNmfbHJpXbU7dKnXdLqVUKNQoJX3q9yHFk8KC2AVul1ImWWt5+p+nmbp5KqM7j+aKFle4XZKIiIiIiJQRXWt25ZWer7AucR23z75d/RUeRXxGPEv2LKk0l56AQo1Sc3rt0wn0CdQlKEdgreXFhS/yzfpvuLHtjQxvM9ztkkREREREpIzpXrc7z3V/jqVxSxk9bzTZudlul1TmzNs+D4utNJeegEKNUuPv7c9Zdc5i7va55Nk8t8spU95d9i4frfqIIS2GMKrjKLfLERERERGRMmpAwwE8cfoT/LXzL+7/7X5y8nLcLqlMmb1tNnVC6tCsajO3Syk1CjVKUe/6vYnLiGNF/Aq3SykzJkVP4u1lb3PRKRfxwKkPYIxxuyQRERERESnDLml6CQ90fYDZ22bz2J+P6aRxvtTsVObvmk+f+n0q1e8qH7cLqEy61+2Oj/Fh9rbZtI9q73Y5rvtm3Te8tPAl+jXoxxNnPIGXUcYmIiIiIiLHd02ra0jzpPHm0jcJ8g3i4W4PV6of8kfyR8wfePI8lao/DVBLjVIV6hfKqbVOZc62OVhr3S7HVdO3TOfJv5/kzDpn8vzZz+PjpXxNRERERESK7qZ2NzGs9TC+WPsFbyx5w+1yXDd722wiAiIq3Ql0hRqlrHe93mxN3sqmfZvcLsU1f8T8wYO/P0jH6h15teer+Hr7ul2SiIiIiIiUM8YYRncezWVNL2PcinFMXDnR7ZJck52bze8xv9OrXi+8vbzdLqdUKdQoZb3q9wKotKOgLN69mNFzR9M0vClv9nmTQJ9At0sSEREREZFyyhjDo6c9yoCGA3h50ct8ve5rt0tyxfxd80nzpFWqUU/2U6hRyqoHVaddVLtKGWqsSVzD7bNvp2ZwTd7p+w5V/Kq4XZKIiIiIiJRz3l7ejDlrDGfVOYun/n6KaVumuV1SqZu9bTZBPkGcVus0t0spdQo1XNCnfh9WJawiNi3W7VJKzZZ9W7h55s2E+IUwrv84IgMj3S5JREREREQqCF9vX17p+Qodq3fkod8f4o+YP9wuqdTk5uUyd/tczq57Nn7efm6XU+oUarigdz2nSdD0LdNdrqR07ErdxY0zbwTg/X7vUzO4pssViYiIiIhIRRPoE8ibfd6kaXhTRs8dzeLdi90uqVQs3rOYxMzESjfqyX4KNVzQMKwhXWp0YfzK8aR50twup0QlZCRw08ybSMtO471+79EwrKHbJYmIiIiISAVVxa8K7/R9h5rBNblt9m2sTljtdkklylrLm0veJDIgkh51e7hdjisUarjk7s53k5iZyISVE9wupcQkZyczctZIYtNieavvW7SIaOF2SSIiIiIiUsFFBkYyrv84qvhVYeSskWzet9ntkkrMnO1zWLxnMbd2uJUg3yC3y3GFQg2XtI1qy8CGA5m8ajJ70ve4XU6xy8jJYNTsUWxI2sBrvV6jY/WObpckIiIiIiKVRM3gmrzf730Abpp5E7tSd7lcUfHz5Hl4bdFrNAprxKVNL3W7HNco1HDRHZ3uwJPn4e2lb7tdSrHKzMnkrrl3sTRuKc+d/Rxn1jnT7ZJERERERKSSaRjWkPf6vUdadho3zLiB3Wm73S6pWH23/ju2JG9hdKfR+Hj5uF2OaxRquKhelXpc2fxKvtvwHRv2bnC7nGKRmZPJHXPu4O+df/PUGU8xoOEAt0sSEREREZFKqkVEC97u+zYJmQkMnz68woxAmeZJ462lb9Gpeid61uvpdjmuUqjhspvb3UywTzCvLX7N7VJOWkZOBqPmjOKfXf/w9JlPc1GTi9wuSUREREREKrkO1Tvwbt93K1SwMTF6IomZidzb5V6MMW6X4yqFGi4LDwjnhnY38OuOX1kQu8Dtcv6z/X1ozN81n2fOekaBhoiIiIiIlBkdqnfgvX7vsTdzb7kPNvak72FS9CQGNBxA26i2bpfjOoUaZcCQFkOoGVyTlxe+TJ7Nc7ucE5buSef22bezYPcCnjnrGS445QK3SxIRERERETlI+6j2BcHGsGnDym3noW8vfRtPnoc7O97pdillgkKNMiDAJ4A7Ot5BdEI00zZPc7ucE5LuSef2ObezcPdCBRoiIiIiIlKmtYtqx/v93mdf1j6GTR/GztSdbpd0Qjbs3cB3G77jyuZXUi+0ntvllAkKNcqI8xqfR4uIFry+5HWyc7PdLqdI0j3p3Db7NhbtXsSzZz3L+Y3Pd7skERERERGRY2ob1Zb3+79PclYyw6cPL1fBxmuLXyPYJ5ib293sdillhkKNMsLLeHF357uJSY3h8zWfu13OcaV70rl19q0s3rOY585+jvMan+d2SSIiIiIiIkXSplobxvUfR3K2E2zEpMa4XdJxLYhdwK87fmVE2xGEB4S7XU6ZcVKhhjEmwhgz0xizPn9a9QjLdDDG/G2MiTbGLDfGXHEy26zITq99OmfWPpP3lr/Hvqx9bpdzVOmedG6ZdQtL9yzl+bOf55xG57hdkoiIiIiIyAlpXa014/qPIyU7heHTynawkWfzeHnhy9QMrsnVLa92u5wy5WRbajwIzLbWNgVm5z8+VDpwrbW2NTAQeM0YE36S262wRnceTUp2Ch+u+NDtUo4oKTOJkbNGsixuGc91f46BjQa6XZKIiIiIiMh/0jrSCTZSPakMmzaMTfs2uV3SEU3fMp3ohGhGdRxFgE+A2+WUKScbalwETMq/Pwm4+NAFrLXrrLXr8+/vBPYAUSe53QqreURzLjzlQj5Z/UmZu7ZrbeJarvz5SlbGr+SF7i8wsKECDRERERERKd9aRbbig/4fkJWbxZCfhzBv+zy3SzpIdm42YxePpXnV5urH8AhONtSoYa3dPw5OLFDjWAsbY04F/ICNJ7ndCu32jrdjjOGNJW+4XUqBaVumMXTqUDx5HiYNnET/hv3dLklERERERKRYtIxsyRfnf0GD0AaMmjOKd5a9Q57Nc7ssAD5f8zkxqTHc3eVuvIy6xTzUcf9FjDGzjDErj3C7qPBy1loL2GO8Ti3gI2CYtUf+32GMuckYs9AYszAuLu4E/5SKo2ZwTYa2GspPm35idcJqV2vJzcvl1UWvct+v99G8anO+OP8L2ka1dbUmERERERGR4lYzuCaTBk7igsYX8PbStxk9dzRpnjRXa9qXtY/3lr/HGbXP4IzaZ7haS1llnCziP65szFqgp7V2V35oMc9a2/wIy4UC84BnrbVfF+W1u3TpYhcuXPifayvvUrJTOPfbc2kQ2oB3+75LiF9IqdewL2sfD/z2AH/u/JNBzQbx0KkP4evtW+p1iIiIiIiIlBZrLZ+s/oSXFr5Ew9CGjO09lgahDUq9jpy8HJ746wmmbJzCVxd8RfOIw35qVyrGmEXW2i6Hzj/ZtitTgOvy718H/HCEDfsB3wGTixpoCFTxq8L/dfs/ouOjuernq0q9w5oNezdw1c9XMT92Po+d/hiPnf6YAg0REREREanwjDFc0+oa3uv3HgmZCVz101X8vuP3Uq0hKTOJW2bdwg8bf2BE2xGVPtA4lpMNNZ4D+hlj1gN98x9jjOlijPkgf5nBQHfgemPM0vxbh5PcbqVwTqNzeL//+yRnJ5dqhzWzts5iyC9DyMjJYMKACQxqNqhUtisiIiIiIlJWdKvVjc/P/5zaIbW5bfZtfLDiA07mSoei2j9Aw6Ldi3jqjKe4s9OdJb7N8uykLj8pSZX98pPCYtNiuXPunaxKWMWtHW7l5nY3l0gHMXk2j7eXvs17y9+jbbW2vNrzVWoEH7PvVxERERERkQotIyeDx/98nKlbptK/QX+ePvNpgnyDSmRb0zZP47G/HqOKbxVe7fUq7aLalch2yqOjXX6iUKOcyMzJ5Ol/nmbKxin0qteLZ896ttj62fDkevhl8y9MWDmBjfs2ckmTS3j4tIfx9/YvltcXEREREREpz6y1TIyeyGuLXyMiIIKhrYYyqNkgqvhVKZbXz83LZeySsUxYOYGO1TvySs9XqBZYrVheu6JQqFEBWGv5dM2nvLjgReqH1mdsr7E0Cmv0n18v3ZPON+u/YfKqycSmxdK0alNuansTAxoOwBhTjJWLiIiIiIiUf0v2LOGdpe/w966/CfEN4YrmV3BNq2tOKoDYl7WP+3+7n792/sUVza/gga4PqD/DI1CoUYEsiF3APfPuwZPn4bmzn6NHvR4ntP7ezL18uuZTPlvzGfuy9tG5RmdGtBnBWXXOUpghIiIiIiJyHNEJ0UxYOYEZW2bg6+XLRU0u4vrW11M/tP4Jvc66veu4c86d7E7fzcPdHuayZpeVUMXln0KNCmZn6k7umnsXaxLXMLL9SHrU7UGwbzAhfiEE+wYT4B1wWECxM3Unk6In8e36b8nMzaRXvV4MbzOcDtU7uPNHiIiIiIiIlGNbk7cyMXoiP2z4gVybS78G/RjeZjitIlsdtJy1luy8bFKzU0n3pJPqSWV14mqe+/c5QnxDeLXXq7SPau/SX1E+KNSogDJzMnny7yf5adNPhz3nZbyckMPXCTkCfQJZlbAKg+G8xucxrM0wTgk/xYWqRUREREREKpa49Dg+Xv0xX679klRPKi0iWmCtJdWTSponjVRPKjl5OYet1z6qPa/2fJWooCgXqi5fFGpUUNZaVsavJCEzwXnDZKcVvHH2v3n2T5tVbca1ra6lZnBNt8sWERERERGpcFKyU/hi7Rf8s+sfAn0CC04yh/iGFLSq3z+vil8VOkR1UP8ZRaRQQ0RERERERETKpaOFGl5uFCMiIiIiIiIicrIUaoiIiIiIiIhIuaRQQ0RERERERETKJYUaIiIiIiIiIlIuKdQQERERERERkXJJoYaIiIiIiIiIlEsKNURERERERESkXFKoISIiIiIiIiLlkkINERERERERESmXFGqIiIiIiIiISLlkrLVu13BExpg4YKvbdfxH1YB4t4uQYqf9WvFon1Y82qcVk/ZrxaN9WvFon1ZM2q8VT3nepw2stVGHziyzoUZ5ZoxZaK3t4nYdUry0Xyse7dOKR/u0YtJ+rXi0Tyse7dOKSfu14qmI+1SXn4iIiIiIiIhIuaRQQ0RERERERETKJYUaJeN9twuQEqH9WvFon1Y82qcVk/ZrxaN9WvFon1ZM2q8VT4Xbp+pTQ0RERERERETKJbXUEBEREREREZFySaHGf2SMGWSMiTbG5Bljjtp7rDFmoDFmrTFmgzHmwULzGxlj5ufP/8IY41c6lcvRGGMijDEzjTHr86dVj7BML2PM0kK3TGPMxfnPTTTGbC70XIfS/hvkcEXZr/nL5Rbad1MKzdd7tYwp4nu1gzHm7/zP6eXGmCsKPaf3ahlxtO/IQs/757/vNuS/DxsWeu6h/PlrjTEDSrVwOaoi7NO7jTGr8t+Xs40xDQo9d8TPYXFfEfbr9caYuEL774ZCz12X/3m93hhzXelWLkdThH36aqH9uc4Yk1ToOb1XyyBjzHhjzB5jzMqjPG+MMa/n7/PlxphOhZ4r1+9TXX7yHxljWgJ5wHvAvdbahUdYxhtYB/QDdgALgKustauMMV8C31prPzfGvAsss9a+U3p/gRzKGPMCkGitfS7/w72qtfaBYywfAWwA6lpr040xE4GfrLVfl07FUhRF3a/GmFRrbcgR5uu9WsYUZZ8aY5oB1lq73hhTG1gEtLTWJum9WjYc6zuy0DK3Au2stSONMVcCl1hrrzDGtAI+A04FagOzgGbW2tzS/jvkgCLu017A/PzvzVuAntbaK/KfO+LnsLiriPv1eqCLtfb2Q9aNABYCXQCL81nc2Vq7t3SqlyMpyj49ZPlRQEdr7fD8x3qvlkHGmO5AKjDZWtvmCM+fC4wCzgW6AWOttd0qwvtULTX+I2vtamvt2uMsdiqwwVq7yVqbDXwOXGSMMUBvYP8B9STg4hIrVorqIpx9AUXbJ5cDU6216SVZlJy0E92vBfReLbOOu0+tteustevz7+8E9gBRpVWgFMkRvyMPWabwvv4a6JP/vrwI+Nxam2Wt3YwTMJ9aSnXL0R13n1pr5xb63vwHqFvKNcqJK8p79WgGADOttYn5P5BmAgNLqE4puhPdp1fhBMlShllrfwMSj7HIRTiBh7XW/gOEG2NqUQHepwo1SlYdYHuhxzvy50UCSdbanEPmi7tqWGt35d+PBWocZ/krOfwD/pn85lyvGmP8i71C+S+Kul8DjDELjTH/mPxLitB7taw6ofeqMeZUwA/YWGi23qvuO9p35BGXyX8f7sN5XxZlXSl9J7pfRgBTCz0+0uewuK+o+/Wy/M/Vr40x9U5wXSldRd4v+ZeINQLmFJqt92r5dLT9Xu7fpz5uF1CWGWNmATWP8NTD1tofSrseOXnH2qeFH1hrrTHmqNdm5aeabYHphWY/hPMDyw9nqKQHgKdOtmY5vmLarw2stTHGmMbAHGPMCpwfUOKCYn6vfgRcZ63Ny5+t96qIy4wx1+A0de5RaPZhn8PW2o1HfgUpY34EPrPWZhljbsZpYdXb5ZqkeFwJfH3I5X16r0qZolDjGKy1fU/yJWKAeoUe182fl4DT3Mcn/8zT/vlSwo61T40xu40xtay1u/J/CO05xksNBr6z1noKvfb+M8dZxpgJwL3FUrQcV3HsV2ttTP50kzFmHtAR+Aa9V11RHPvUGBMK/IwTRP9T6LX1Xi0bjvYdeaRldhhjfIAwnO/Qoqwrpa9I+8UY0xcnoOxhrc3aP/8on8P6oeS+4+5Xa21CoYcfAC8UWrfnIevOK/YK5USdyGfolcBthWfovVpuHW2/l/v3qS4/KVkLgKbGGT3BD+dDYYp1emedi9MnA8B1gFp+uG8Kzr6A4++Tw64tzP9xtb8fhouBI/Y8LKXuuPvVGFN1/yUIxphqwJnAKr1Xy6yi7FM/4Duca0e/PuQ5vVfLhiN+Rx6yTOF9fTkwJ/99OQW40jijozQCmgL/llLdcnTH3afGmI44naxfaK3dU2j+ET+HS61yOZai7NdahR5eCKzOvz8d6J+/f6sC/Tm4lau4oyifvxhjWgBVgb8LzdN7tfyaAlxrHKcB+/JP9JT/96m1Vrf/cAMuwbneKAvYDUzPn18b+KXQcufi9C68Eeds4f75jXEOwDYAXwH+bv9Nlf2Gc532bGA9Tk/6EfnzuwAfFFquIU6i6XXI+nOAFTg/kD4GQtz+m3Qr2n4Fzsjfd8vypyMKra/3ahm7FXGfXgN4gKWFbh3yn9N7tYzcjvQdiXMp0IX59wPy33cb8t+HjQut+3D+emuBc9z+W3Qr8j6dlX/ctP99OSV//lE/h3Vz/1aE/ToGiM7ff3OBFoXWHZ7/Ht4ADHP7b9GtaPs0//ETwHOHrKf3ahm94Zxw3ZV//LMDp9+ikcDI/OcN8Fb+Pl+BM2LR/nXL9ftUQ7qKiIiIiIiISLmky09EREREREREpFxSqCEiIiIiIiIi5ZJCDREREREREREplxRqiIiIiIiIiEi5pFBDRERERERERMolhRoiIiIiIiIiUi4p1BARERERERGRckmhhoiIiIiIiIiUS/8P3uV0es2XjjgAAAAASUVORK5CYII=\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "#collapse\n", "fig, axs = plot.subplots(2, 1)\n", "fig.set_size_inches(18.5, 10.5)\n", "\n", "x1 = np.linspace(-1, 1, 5)\n", "runge = lambda x: 1/(1+(5*x)**2)\n", "\n", "pf = np.polynomial.Polynomial(interpolate(runge, x1))\n", "axs[0].plot(x1, runge(x1), 'o')\n", "axs[0].plot(d, runge(d), '-')\n", "axs[0].plot(d, pf(d), '-')\n", "axs[0].set_title('Runge function, 5 points')\n", "\n", "x2 = np.linspace(-1, 1, 10)\n", "pg = np.polynomial.Polynomial(interpolate(runge, x2))\n", "axs[1].plot(x2, runge(x2), 'o')\n", "axs[1].plot(d, runge(d), '-')\n", "axs[1].plot(d, pg(d), '-')\n", "axs[1].set_title('Runge function, 10 points')\n", "for ax in axs.flat:\n", " ax.label_outer()" ] }, { "cell_type": "markdown", "id": "9f9c8f63", "metadata": {}, "source": [ "## Non-regular sampling: the intuition\n", "The idea that stuck with me was to imagine that the interpolation has a lot of freedom outside $[-1, 1]$. So by fixating points on regular intervals the points in the middle are controlled much more than at the edges. Given that we have to pick points within $[-1,1]$ we should sample more densily at the edges.\n", "\n", "For example, we can pick $[-1, -0.8, -0.5, 0, 0.5, 0.8, 1]$ and compare to the equidistant case:" ] }, { "cell_type": "code", "execution_count": 5, "id": "d2381193", "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "#collapse\n", "fig, axs = plot.subplots(2, 1)\n", "fig.set_size_inches(18.5, 10.5)\n", "\n", "x1 = np.linspace(-1, 1, 7)\n", "runge = lambda x: 1/(1+(5*x)**2)\n", "\n", "pf = np.polynomial.Polynomial(interpolate(runge, x1))\n", "axs[0].plot(x1, runge(x1), 'o')\n", "axs[0].plot(d, runge(d), '-')\n", "axs[0].plot(d, pf(d), '-')\n", "axs[0].set_title('Runge function, equidistant')\n", "\n", "x2 = np.array([-1, -0.8, -0.5, 0, 0.5, 0.8, 1])\n", "pg = np.polynomial.Polynomial(interpolate(runge, x2))\n", "axs[1].plot(x2, runge(x2), 'o')\n", "axs[1].plot(d, runge(d), '-')\n", "axs[1].plot(d, pg(d), '-')\n", "axs[1].set_title('Runge function, tail heavy')\n", "for ax in axs.flat:\n", " ax.label_outer()" ] }, { "cell_type": "markdown", "id": "3dc262ab", "metadata": {}, "source": [ "## Chebyshev nodes" ] }, { "cell_type": "markdown", "id": "97ebdd62", "metadata": {}, "source": [ "Chebyshev nodes are exactly those points that minimize the maximum error when increasing the degree of the polynomials. They are defined as (here)[https://en.wikipedia.org/wiki/Chebyshev_nodes]. These are the roots of the Chebyshev polynomials (of the first kind). \n", "\n", "$$ x_k = \\cos \\left({\\frac {2k-1}{2n}}\\pi \\right)$$" ] }, { "cell_type": "code", "execution_count": 6, "id": "802d0642", "metadata": {}, "outputs": [], "source": [ "def chebyshev_nodes(n):\n", " return np.array([\n", " np.cos((2 * k - 1)/(2*n) * np.pi)\n", " for k in range(1, n+1)\n", " ])" ] }, { "cell_type": "code", "execution_count": 7, "id": "01cd9d12", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([ 9.74927912e-01, 7.81831482e-01, 4.33883739e-01, 6.12323400e-17,\n", " -4.33883739e-01, -7.81831482e-01, -9.74927912e-01])" ] }, "execution_count": 7, "metadata": {}, "output_type": "execute_result" } ], "source": [ "chebyshev_nodes(7)" ] }, { "cell_type": "code", "execution_count": 8, "id": "88122d49", "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "#collapse\n", "fig, axs = plot.subplots(2, 1)\n", "fig.set_size_inches(18.5, 10.5)\n", "\n", "x1 = np.linspace(-1, 1, 7)\n", "runge = lambda x: 1/(1+(5*x)**2)\n", "\n", "pf = np.polynomial.Polynomial(interpolate(runge, x1))\n", "axs[0].plot(x1, runge(x1), 'o')\n", "axs[0].plot(d, runge(d), '-')\n", "axs[0].plot(d, pf(d), '-')\n", "axs[0].set_title('Runge function, equidistant')\n", "\n", "x2 = chebyshev_nodes(7)\n", "pg = np.polynomial.Polynomial(interpolate(runge, x2))\n", "axs[1].plot(x2, runge(x2), 'o')\n", "axs[1].plot(d, runge(d), '-')\n", "axs[1].plot(d, pg(d), '-')\n", "axs[1].set_title('Runge function, Chebyshev nodes')\n", "for ax in axs.flat:\n", " ax.label_outer()" ] }, { "cell_type": "code", "execution_count": 9, "id": "18a2dd36", "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "#collapse\n", "fig, axs = plot.subplots(2, 1)\n", "fig.set_size_inches(18.5, 10.5)\n", "\n", "x1 = np.linspace(-1, 1, 10)\n", "runge = lambda x: 1/(1+(5*x)**2)\n", "\n", "pf = np.polynomial.Polynomial(interpolate(runge, x1))\n", "axs[0].plot(x1, runge(x1), 'o')\n", "axs[0].plot(d, runge(d), '-')\n", "axs[0].plot(d, pf(d), '-')\n", "axs[0].set_title('Runge function, equidistant')\n", "\n", "x2 = chebyshev_nodes(10)\n", "pg = np.polynomial.Polynomial(interpolate(runge, x2))\n", "axs[1].plot(x2, runge(x2), 'o')\n", "axs[1].plot(d, runge(d), '-')\n", "axs[1].plot(d, pg(d), '-')\n", "axs[1].set_title('Runge function, Chebyshev nodes')\n", "for ax in axs.flat:\n", " ax.label_outer()" ] }, { "cell_type": "markdown", "id": "77978cf3", "metadata": {}, "source": [ "## Conclusion\n", "It's incredibly cool that with interpolating polynomials all these concepts from mathematics are tied together. For me it shows that theoretical mathematics should not be judged by its immediate utility.\n", "\n", "Next time you take a sample think about whether uniform (equidistant) sampling actually makes sense. " ] } ], "metadata": { "kernelspec": { "display_name": "Python 3 (ipykernel)", "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": "3.8.10" } }, "nbformat": 4, "nbformat_minor": 5 }