{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Exponential smoothing\n", "\n", "Let us consider chapter 7 of the excellent treatise on the subject of Exponential Smoothing By Hyndman and Athanasopoulos [1].\n", "We will work through all the examples in the chapter as they unfold.\n", "\n", "[1] [Hyndman, Rob J., and George Athanasopoulos. Forecasting: principles and practice. OTexts, 2014.](https://www.otexts.org/fpp/7)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Loading data\n", "\n", "First we load some data. We have included the R data in the notebook for expedience." ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "ExecuteTime": { "end_time": "2017-12-07T12:39:15.020317Z", "start_time": "2017-12-07T12:39:14.263100Z" }, "execution": { "iopub.execute_input": "2023-12-14T14:44:06.138946Z", "iopub.status.busy": "2023-12-14T14:44:06.138672Z", "iopub.status.idle": "2023-12-14T14:44:08.538932Z", "shell.execute_reply": "2023-12-14T14:44:08.537999Z" } }, "outputs": [], "source": [ "import os\n", "import numpy as np\n", "import pandas as pd\n", "import matplotlib.pyplot as plt\n", "from statsmodels.tsa.api import ExponentialSmoothing, SimpleExpSmoothing, Holt\n", "\n", "%matplotlib inline\n", "\n", "data = [\n", " 446.6565,\n", " 454.4733,\n", " 455.663,\n", " 423.6322,\n", " 456.2713,\n", " 440.5881,\n", " 425.3325,\n", " 485.1494,\n", " 506.0482,\n", " 526.792,\n", " 514.2689,\n", " 494.211,\n", "]\n", "index = pd.date_range(start=\"1996\", end=\"2008\", freq=\"A\")\n", "oildata = pd.Series(data, index)\n", "\n", "data = [\n", " 17.5534,\n", " 21.86,\n", " 23.8866,\n", " 26.9293,\n", " 26.8885,\n", " 28.8314,\n", " 30.0751,\n", " 30.9535,\n", " 30.1857,\n", " 31.5797,\n", " 32.5776,\n", " 33.4774,\n", " 39.0216,\n", " 41.3864,\n", " 41.5966,\n", "]\n", "index = pd.date_range(start=\"1990\", end=\"2005\", freq=\"A\")\n", "air = pd.Series(data, index)\n", "\n", "data = [\n", " 263.9177,\n", " 268.3072,\n", " 260.6626,\n", " 266.6394,\n", " 277.5158,\n", " 283.834,\n", " 290.309,\n", " 292.4742,\n", " 300.8307,\n", " 309.2867,\n", " 318.3311,\n", " 329.3724,\n", " 338.884,\n", " 339.2441,\n", " 328.6006,\n", " 314.2554,\n", " 314.4597,\n", " 321.4138,\n", " 329.7893,\n", " 346.3852,\n", " 352.2979,\n", " 348.3705,\n", " 417.5629,\n", " 417.1236,\n", " 417.7495,\n", " 412.2339,\n", " 411.9468,\n", " 394.6971,\n", " 401.4993,\n", " 408.2705,\n", " 414.2428,\n", "]\n", "index = pd.date_range(start=\"1970\", end=\"2001\", freq=\"A\")\n", "livestock2 = pd.Series(data, index)\n", "\n", "data = [407.9979, 403.4608, 413.8249, 428.105, 445.3387, 452.9942, 455.7402]\n", "index = pd.date_range(start=\"2001\", end=\"2008\", freq=\"A\")\n", "livestock3 = pd.Series(data, index)\n", "\n", "data = [\n", " 41.7275,\n", " 24.0418,\n", " 32.3281,\n", " 37.3287,\n", " 46.2132,\n", " 29.3463,\n", " 36.4829,\n", " 42.9777,\n", " 48.9015,\n", " 31.1802,\n", " 37.7179,\n", " 40.4202,\n", " 51.2069,\n", " 31.8872,\n", " 40.9783,\n", " 43.7725,\n", " 55.5586,\n", " 33.8509,\n", " 42.0764,\n", " 45.6423,\n", " 59.7668,\n", " 35.1919,\n", " 44.3197,\n", " 47.9137,\n", "]\n", "index = pd.date_range(start=\"2005\", end=\"2010-Q4\", freq=\"QS-OCT\")\n", "aust = pd.Series(data, index)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Simple Exponential Smoothing\n", "Lets use Simple Exponential Smoothing to forecast the below oil data." ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "ExecuteTime": { "end_time": "2017-12-07T12:39:15.189907Z", "start_time": "2017-12-07T12:39:15.022229Z" }, "execution": { "iopub.execute_input": "2023-12-14T14:44:08.550176Z", "iopub.status.busy": "2023-12-14T14:44:08.542561Z", "iopub.status.idle": "2023-12-14T14:44:08.933133Z", "shell.execute_reply": "2023-12-14T14:44:08.932275Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Figure 7.1: Oil production in Saudi Arabia from 1996 to 2007.\n" ] }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "ax = oildata.plot()\n", "ax.set_xlabel(\"Year\")\n", "ax.set_ylabel(\"Oil (millions of tonnes)\")\n", "print(\"Figure 7.1: Oil production in Saudi Arabia from 1996 to 2007.\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Here we run three variants of simple exponential smoothing:\n", "1. In ```fit1``` we do not use the auto optimization but instead choose to explicitly provide the model with the $\\alpha=0.2$ parameter\n", "2. In ```fit2``` as above we choose an $\\alpha=0.6$\n", "3. In ```fit3``` we allow statsmodels to automatically find an optimized $\\alpha$ value for us. This is the recommended approach." ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "ExecuteTime": { "end_time": "2017-12-07T12:39:15.785068Z", "start_time": "2017-12-07T12:39:15.191930Z" }, "execution": { "iopub.execute_input": "2023-12-14T14:44:08.938099Z", "iopub.status.busy": "2023-12-14T14:44:08.937390Z", "iopub.status.idle": "2023-12-14T14:44:09.969228Z", "shell.execute_reply": "2023-12-14T14:44:09.968492Z" } }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 3, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fit1 = SimpleExpSmoothing(oildata, initialization_method=\"heuristic\").fit(\n", " smoothing_level=0.2, optimized=False\n", ")\n", "fcast1 = fit1.forecast(3).rename(r\"$\\alpha=0.2$\")\n", "fit2 = SimpleExpSmoothing(oildata, initialization_method=\"heuristic\").fit(\n", " smoothing_level=0.6, optimized=False\n", ")\n", "fcast2 = fit2.forecast(3).rename(r\"$\\alpha=0.6$\")\n", "fit3 = SimpleExpSmoothing(oildata, initialization_method=\"estimated\").fit()\n", "fcast3 = fit3.forecast(3).rename(r\"$\\alpha=%s$\" % fit3.model.params[\"smoothing_level\"])\n", "\n", "plt.figure(figsize=(12, 8))\n", "plt.plot(oildata, marker=\"o\", color=\"black\")\n", "plt.plot(fit1.fittedvalues, marker=\"o\", color=\"blue\")\n", "(line1,) = plt.plot(fcast1, marker=\"o\", color=\"blue\")\n", "plt.plot(fit2.fittedvalues, marker=\"o\", color=\"red\")\n", "(line2,) = plt.plot(fcast2, marker=\"o\", color=\"red\")\n", "plt.plot(fit3.fittedvalues, marker=\"o\", color=\"green\")\n", "(line3,) = plt.plot(fcast3, marker=\"o\", color=\"green\")\n", "plt.legend([line1, line2, line3], [fcast1.name, fcast2.name, fcast3.name])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Holt's Method\n", "\n", "Lets take a look at another example.\n", "This time we use air pollution data and the Holt's Method.\n", "We will fit three examples again.\n", "1. In ```fit1``` we again choose not to use the optimizer and provide explicit values for $\\alpha=0.8$ and $\\beta=0.2$\n", "2. In ```fit2``` we do the same as in ```fit1``` but choose to use an exponential model rather than a Holt's additive model.\n", "3. In ```fit3``` we used a damped versions of the Holt's additive model but allow the dampening parameter $\\phi$ to be optimized while fixing the values for $\\alpha=0.8$ and $\\beta=0.2$" ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "ExecuteTime": { "end_time": "2017-12-07T12:39:16.114361Z", "start_time": "2017-12-07T12:39:15.786542Z" }, "execution": { "iopub.execute_input": "2023-12-14T14:44:09.972536Z", "iopub.status.busy": "2023-12-14T14:44:09.972269Z", "iopub.status.idle": "2023-12-14T14:44:10.748016Z", "shell.execute_reply": "2023-12-14T14:44:10.747209Z" } }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 4, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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6snbtWsf1EyZM4M477+TUqVMABAYG0rdvX/r27UvhwoW54447GD58OJZlOV5z4cIFnnjiCYoWLYqXlxctW7Zk3759jvbEHuKlS5dSvXp1vL29CQoKIuy6zc6nTZtG9erVyZcvH9WqVePDDz90tCX2/oaGhtK0aVO8vLyoU6cOGzZscHyWp556ivDwcEeP+1tvvQUkH/b83nvvUatWLQoUKICfnx8vvPACkZGRqf5Oy5cvD0DdunWx2WwEBgYCpue/Q4cOjBkzhtKlS1O1alUAjh49SufOnSlSpAjFihWjffv2HDp0yHG/xNdNnDgRHx8fihcvzosvvkhcXJzjmtOnT9O2bVvy589P+fLlmTlzZqrrFRERERHJ9r78Ejp3NgH6scdg3rxcE6AhJ4Roy4KoqNQ9IiKgf3/zmpTuA6aHOiIidfdL6T63KDAwkIEDB/L4448THh7O1q1bGT58ONOmTaNkyZKO67788ks8PDz4/fffmTJlCu+99x7Tpk1ztPfs2ZMtW7awYMECNmzYgGVZtGrVyikEXr58mYkTJ/L111/z66+/cuTIEQYPHuxonzlzJiNGjGDMmDHs3r2bsWPHMnz4cL788kunml9//XUGDx7Mtm3bqFKlCl27diU+Pp5GjRoREhJCoUKFCAsLIywszOn+13Jzc+P9999n586dfPnll/zyyy+88sorqf7efv/9dwBWrFhBWFgYodf8EmTlypXs2bOH5cuXs3DhQuLi4mjRogUFCxZk7dq1rF+/3vFLhNjYWMfrVq1axYEDB1i1ahVffvklM2bMYMaMGU7f8dGjR1m1ahVz587lww8/5PTp06muWUREREQk25o6FXr2hIQE6NXLTI/NbSM+rSwmPDzcAqzw8PBkbVeuXLF27dplXblyJelkZKRlmTib+Y/IyFR/rieffNJyd3e3ChQo4PQYM2aM45qYmBjr7rvvtjp37mzVqFHD6tOnj9M9mjRpYlWvXt1KSEhwnBs6dKhVvXp1y7Isa+/evRZgrV+/3tF+9uxZK3/+/NacOXMsy7Ks6dOnW4C1f/9+xzX/93//Z5UsWdJxXLFiRWvWrFlO7z169GirYcOGlmVZ1sGDBy3AmjZtmqN9586dFmDt3r3b8T6FCxdO9j2UK1fOmjx58g2/p++//94qXry44/hG90mUWMvWrVudzj/55JNWyZIlrZiYGMe5r7/+2qpatarT9xcTE2Plz5/fWrp0qeN15cqVs+Lj4x3XPPbYY1aXLl0sy7KsPXv2WID1+++/O9p3795tATf9XFlJin+PRERERERuJiHBst5+OykLDRxozuUQN8uh18udc6JdpGnTpnz00UdO54oVK+Z47unpycyZM6lduzblypVj8uTJye5x//33Y7tm0/KGDRsyadIk7HY7u3fvxsPDgwYNGjjaixcvTtWqVdm9e7fjnJeXFxUrVnQc+/j4OHpSo6KiOHDgAL169aJPnz6Oa+Lj4ylcuLBTLbVr13a6B5ihztWqVUvdF4LpQR43bhz//PMPERERxMfHEx0dzeXLl/Hy8kr1fVJSq1Ytp3nQf/31F/v376dgwYJO10VHR3PgwAHHcc2aNXG/ZuVAHx8fduzYAeD4ju+55x5He7Vq1bLFCuIiIiIiIrfEsmDoUHj3XXP85pvmcU0uyU2yf4j28oLUzqH99Vcz6f2/LFpkVpdLzXunQYECBahUqdJNr/ntt98AOH/+POfPn6dAgQJpeo/UyJMnj9OxzWZzzKtOnI/82WefOYVxwClYXn+fxGCfkJCQ6joOHTpEmzZteP755xkzZgzFihVj3bp19OrVi9jY2NsO0dd/d5GRkdxzzz0pzmG+dsGzlL6ftHwuEREREZEcw26HF1+ETz4xx++9B4MGubYmF8v+Idpmg9QGzebNzSrcx4+nPJ/ZZjPtzZu7ZA+zAwcOMGjQID777DNmz57Nk08+yYoVK3BzS5q6vmnTJqfXbNy4kcqVK+Pu7k716tWJj49n06ZNNGrUCIBz586xZ88eatSokaoaSpYsSenSpfn333/p3r37LX8WT09P7P+xbdgff/xBQkICkyZNcnzGOXPmpPl9gP98L4B69eoxe/Zs7rzzTgoVKpSm90lUrVo14uPj+eOPP7j33nsB2LNnDxcvXryl+4mIiIiIZFlxcWb+86xZJit9+in07u3qqlwu+y8slhbu7mYbK0g+9CDxOCQkwwJ0TEwMJ0+edHqcPXsWMCGwR48etGjRgqeeeorp06ezfft2Jk2a5HSPI0eO8NJLL7Fnzx6+/fZbpk6dyoABAwCoXLky7du3p0+fPqxbt46//vqLHj16UKZMGdq3b5/qOkeOHMm4ceN4//332bt3Lzt27GD69Om89957qb6Hv78/kZGRrFy5krNnz3L58uVk11SqVIm4uDimTp3Kv//+y9dff83HH3+c6vcAuPPOO8mfPz9Llizh1KlThIeH3/Da7t27c8cdd9C+fXvWrl3LwYMHWb16Nf379+fY9au130DVqlUJCgri2WefZdOmTfzxxx/07t2b/LloNUIRERERyQWio83uRbNmgYeHWUBMARrIbSEazD7Qc+dCmTLO5319zfkM3Cd6yZIl+Pj4OD0aN24MwJgxYzh8+DCfXB0m4ePjw6effsobb7zBX3/95bjHE088wZUrV7jvvvt48cUXGTBgAM8884yjffr06dxzzz20adOGhg0bYlkWixYtSjZE+WZ69+7NtGnTmD59OrVq1aJJkybMmDHDsZ1UajRq1IjnnnuOLl26UKJECSZMmJDsmjp16vDee+/xzjvvcNdddzFz5kzGjRuX6vcA8PDw4P333+eTTz6hdOnSN/1lgZeXF7/++itly5YlODiY6tWr06tXL6Kjo9PUMz19+nRKly5NkyZNCA4O5plnnuHOO+9MU90iIiIiIllWZCS0bg0LFkC+fDB/PnTp4uqqsgybZaU0rtl1IiIiKFy4MOHh4cmCTXR0NAcPHqR8+fLky5fv9t7Iboe1ayEsDHx8ICDAJUO40yIwMJC7777baZ9lkbRK179HIiIiIpKzXLhg1pHauBG8veGnnyAw0NVVZbib5dDrZf850bfK3T1X/DCIiIiIiIikyqlTZn2o7duhaFFYsgTuu8/VVWU5uTdEi4iIiIiIiHHkCDzyCOzbB6VKwfLlcNddrq4qS1KIzkZWr17t6hJERERERCSn2bvXBOijR6FcOVixAv5ja97cLPctLCYiIiIiIiLG9u1mfaijR6FqVVi3TgH6PyhEi4iIiIiI5EYbN0KTJnD6NNx9N/z6q9m1SG5KIVpERERERCS3+eUXM4T74kVo1AhWrQJt25oqCtEiIiIiIiK5yU8/mW2soqKgWTNYtgyKFHF1VdmGQrSIiIiIiEhuMWsWPPooxMRAhw4mUBco4OqqshWFaBERERERkdzg00+hRw+w2+Hxx+H77yFvXldXle0oRGdxb731FnffffdNr+nZsycdOnRwHAcGBjJw4MCbvmbGjBkUccGQDVe9b3qy2WzMnz/f1WXcVGp+bkREREQkF3n3XXj2WbAseOEFmDEDPLTj8a3ItSHanmBn9aHVfLvjW1YfWo09wZ4p77thwwbc3d1p3bp1hr1HaGgoo0ePdhz7+/sTEhLidE2XLl3Yu3dvhtWQm6XmlxgiIiIiIpnCsmD4cHjlFXM8bBh88AG45dooeNty5a8eQneHMmDJAI5FHHOc8y3ky5SgKQRXD87Q9/7888/p168fn3/+OSdOnKB06dLp/h7FihX7z2vy589P/vz50/29JXUsy8Jut+Oh3/6JiIiISEZJSICBA2HqVHM8bhy8+qpLS8oJct2vH0J3h9JpTienAA1wPOI4neZ0InR3aIa9d2RkJLNnz+b555+ndevWzJgxI9k148ePp2TJkhQsWJBevXoRHR3t1G6323nppZcoUqQIxYsX55VXXsGyLKdrru0JDQwM5PDhwwwaNAibzYbNZgOch1Xv3bsXm83GP//843SfyZMnU7FiRcfx33//TcuWLfH29qZkyZI8/vjjnD179qafecaMGZQtWxYvLy8effRRzp0759R+4MAB2rdvT8mSJfH29ubee+9lxYoVTtf4+/vz9ttv88QTT+Dt7U25cuVYsGABZ86coX379nh7e1O7dm22bNni9L5FihRh/vz5VK5cmXz58tGiRQuOHj3qdO8ff/yRevXqkS9fPipUqMDIkSOJj493tO/bt48HH3yQfPnyUaNGDZYvX37Tz9uzZ0/WrFnDlClTHN/3oUOHWL16NTabjcWLF3PPPfeQN29e1q1bR0JCAuPGjaN8+fLkz5+fOnXqMHfuXMf9El+3cuVK6tevj5eXF40aNWLPnj1O7/tfPzciIiIiksvEx0OvXkkB+v/+TwE6nWT7EG1ZFlGxUal6RERH0H9xfyys5Pe5em7A4gFEREek6n7Xh9f/MmfOHKpVq0bVqlXp0aMHX3zxhdM95syZw1tvvcXYsWPZsmULPj4+fPjhh073mDRpEjNmzOCLL75g3bp1nD9/nnnz5t3wPUNDQ/H19WXUqFGEhYURFhaW7JoqVapQv359Zs6c6XR+5syZdOvWDYCLFy/y0EMPUbduXbZs2cKSJUs4deoUnTt3vuF7b9q0iV69etG3b1+2bdtG06ZNefvtt52uiYyMpFWrVqxcuZKtW7cSFBRE27ZtOXLkiNN1kydP5oEHHmDr1q20bt2axx9/nCeeeIIePXrw559/UrFiRZ544gmn7/Py5cuMGTOGr776ivXr13Px4kX+97//OdrXrl3LE088wYABA9i1axeffPIJM2bMYMyYMQAkJCQQHByMp6cnmzZt4uOPP2bo0KE3/LwAU6ZMoWHDhvTp08fxffv5+TnaX331VcaPH8/u3bupXbs248aN46uvvuLjjz9m586dDBo0iB49erBmzRqn+77++utMmjSJLVu24OHhwdNPP+1oS83PjYiIiIjkIjEx8L//mXnP7u7w9ddmHrSkDyuLCQ8PtwArPDw8WduVK1esXbt2WVeuXHGci4yJtHgLlzwiYyLT9NkaNWpkhYSEWJZlWXFxcdYdd9xhrVq1ytHesGFD64UXXnB6TYMGDaw6deo4jn18fKwJEyY4juPi4ixfX1+rffv2jnNNmjSxBgwY4DguV66cNXnyZKf7Tp8+3SpcuLDjePLkyVbFihUdx3v27LEAa/fu3ZZlWdbo0aOt5s2bO93j6NGjFmDt2bMnxc/btWtXq1WrVk7nunTp4vS+KalZs6Y1depUp/p79OjhOA4LC7MAa/jw4Y5zGzZssAArLCzM8fkAa+PGjY5rdu/ebQHWpk2bLMuyrIcfftgaO3as03t//fXXlo+Pj2VZlrV06VLLw8PDOn78uKN98eLFFmDNmzfvhvVf//1blmWtWrXKAqz58+c7zkVHR1teXl7Wb7/95nRtr169rK5duzq9bsWKFY72n3/+2QIcfw9S83NzrZT+HomIiIhIDhEVZVktWlgWWJanp2Xd5N+tkuRmOfR62b4nOrvYs2cPv//+O127dgXAw8ODLl268Pnnnzuu2b17Nw0aNHB6XcOGDR3Pw8PDCQsLc7rGw8OD+vXr33Z9//vf/zh06BAbN24ETC90vXr1qFatGgB//fUXq1atwtvb2/FIbDtw4ECK9/yvzwOmJ3rw4MFUr16dIkWK4O3tze7du5P1RNeuXdvxvGTJkgDUqlUr2bnTp087znl4eHDvvfc6jqtVq0aRIkXYvXu34zONGjXK6TMl9iBfvnyZ3bt34+fn5zRv/fr60+ra/63279/P5cuXadasmVMNX331VbLv9NrP7+Pj4/RZU/M9i4iIiEguEB4OQUGwdCl4ecHChWYvaElX2X5VI688XkQOi0zVtb8e/pVWs1r953WLui3iwXIPpuq9U+vzzz8nPj7eKZBZlkXevHn54IMPKFy4cKrvlRFKlSrFQw89xKxZs7j//vuZNWsWzz//vKM9MjKStm3b8s477yR7bWKouxWDBw9m+fLlTJw4kUqVKpE/f346depEbGys03V58uRxPE+c153SuYSEhFS/d2RkJCNHjiQ4OPlicvny5UvT50itAtdsZB8ZaX5uf/75Z8qUKeN0Xd7r9uu73c8qIiIiIjnc2bPQogX8+ScULgyLFkGjRq6uKkfK9iHaZrNRwLPAf18INK/YHN9CvhyPOJ7ivGgbNnwL+dK8YnPc3dzTrcb4+Hi++uorJk2aRPPmzZ3aOnTowLfffstzzz1H9erV2bRpE0888YSjPbFnGKBw4cL4+PiwadMmHnzwQce9//jjD+rVq3fD9/f09MRu/+8tvLp3784rr7xC165d+ffff53mD9erV48ffvgBf3//VK8onfh5rnXt5wFYv349PXv25NFHHwVMsDx06FCq7v9f4uPj2bJlC/fddx9gRgNcvHiR6tWrA+Yz7dmzh0qVKt2w/qNHjxIWFub4RcH19acktd93jRo1yJs3L0eOHKFJkyap/Vgp1nmznxsRERERyeGOH4dmzWD3bihRApYtg7vvdnVVOVauGs7t7ubOlKApgAnM10o8DgkKSdcADbBw4UIuXLhAr169uOuuu5weHTt2dAzpHjBgAF988QXTp09n7969vPnmm+zcudPpXgMGDGD8+PHMnz+ff/75hxdeeIGLFy/e9P39/f359ddfOX78+E1X0w4ODubSpUs8//zzNG3a1KnX/MUXX+T8+fN07dqVzZs3c+DAAZYuXcpTTz11w8DYv39/lixZwsSJE9m3bx8ffPABS5YscbqmcuXKhIaGsm3bNv766y+6deuWbj2sefLkoV+/fmzatIk//viDnj17cv/99ztC9YgRI/jqq68YOXIkO3fuZPfu3Xz33Xe88cYbADzyyCNUqVKFJ598kr/++ou1a9fy+uuv/+f7+vv7s2nTJg4dOsTZs2dv+HkKFizI4MGDGTRoEF9++SUHDhzgzz//ZOrUqXz55Zep/pyp+bkRERERkRzq338hIMAEaF9f+PVXBegMlqtCNEBw9WDmdp5LmULOw2d9C/kyt/PcDNkn+vPPP+eRRx5Jcch2x44d2bJlC9u3b6dLly4MHz6cV155hXvuuYfDhw87DakGePnll3n88cd58sknadiwIQULFnT04t7IqFGjOHToEBUrVqREiRI3vK5gwYK0bduWv/76i+7duzu1lS5dmvXr12O322nevDm1atVi4MCBFClSBLcbbNR+//3389lnnzFlyhTq1KnDsmXLHAE10XvvvUfRokVp1KgRbdu2pUWLFjftVU8LLy8vhg4dSrdu3XjggQfw9vZm9uzZjvYWLVqwcOFCli1bxr333sv999/P5MmTKVeuHABubm7MmzePK1eucN9999G7d2/Hyt03M3jwYNzd3alRowYlSpRINr/7WqNHj2b48OGMGzeO6tWrExQUxM8//0z58uVT/TlT83MjIiIiItmc3Q6rV8O335o/7XbYtQsaN4aDB6FiRVi3Dq6uWyQZx2ZZadynKYNFRERQuHBhwsPDKVSokFNbdHQ0Bw8epHz58rc9Z9WeYGftkbWEXQrDp6APAWUD0r0HWlxnxowZDBw48D976XOj9Px7JCIiIiKZIDQUBgyAY8eSzt15J1y+DJGRcNddZgj3baxVlNvdLIdeL9vPib5V7m7uBPoHuroMERERERGRGwsNhU6d4Pq+z8RdaSpWhDVroFixzK8tl8p1w7lFRERERESyBbvd9EDfbPBwdLRZjVsyjUK05Eg9e/bUUG4RERERyd7WrnUewp2S48fNdZJpFKJFRERERESyorCw9L1O0kW2DNFZbC00kWxFf39EREREsonULhSmBcUyVbYK0Xny5AHg8uXLLq5EJPuKjY0FwN1dq9GLiIiIZGkNGoCX143bbTbw8zP7REumyVarc7u7u1OkSBFOX12JzsvLC5vN5uKqRLKPhIQEzpw5g5eXFx4e2eqvv4iIiEjuEhEBwcFmG6uUJOagkBBQ50imynb/ii5VqhSAI0iLSNq4ublRtmxZ/QJKREREJKs6cQJatYK//gJvbxg0CKZPd15kzNfXBOjgYJeVmVvZrCw2QTK1m1zb7Xbi4uIysTKRnMHT0xM3t2w1k0NEREQk9/jnHwgKgsOHoWRJWLQI6tUz212tXWsWEfPxMUO41QOdblKbQyEb9kQncnd315xOERERERHJOX77Ddq2hfPnoXJlWLIEKlQwbe7uEBjo0vLEUHeUiIiIiIiIq/34Izz8sAnQDRqYQJ0YoCVLUYgWERERERFxpU8+MXObo6OhTRv45Re44w5XVyU3oBAtIiIiIiLiCpYFw4fDc89BQgL06QPz5t18WytxuWw7J1pERERERCTbiouDZ581q24DvPUWjBiRtHWVZFkK0SIiIiIiIpkpMhI6d4bFi8HNDT7+2PRCS7agEC0iIiIiIpJZTp+G1q1hyxbInx/mzDHzoCXbUIgWERERERHJDPv3mz2gDxyA4sXh55/NStw5VE7d2lohWkREREREJKNt3mx6oM+cgfLlzR7QVaq4uqoMExoKAwbAsWNJ53x9YcoUsxB5dqbVuUVERERERDLS4sUQGGgCdL16Zg/oHB6gO3VyDtAAx4+b86GhrqkrvShEi4iIiIiIZJTp06FtW7h8GZo3h9WroVQpV1eVYex20wNtWcnbEs8NHGiuy64UokVERERERNKbZcHbb8PTT5vE+Pjj8NNPULCgqyvLUGvXJu+BvpZlwdGj5rrsSiFaREREREQkPdnt8MILMHy4OX71VfjyS/D0dG1dmSAsLH2vy4q0sJiIiIiIiEh6uXIFunWD+fPBZoP334e+fV1dVaaIjDSd7anh45OxtWQkhWgREREREZH0cO4ctGtnFg7LmxdmzoSOHV1dVYazLJg9GwYPNouH3YzNZlbpDgjInNoygoZzi4iIiIiI3K7Dh6FxYxOgixSB5ctzRYDesQOaNoWuXU2ALl/ejF632czjWonHISHZe79ohWgREREREZHbsW0bNGwI//xjulnXrcveXa2pcPGiWYW7bl1Yswby54dRo2DXLhg3DubOhTJlnF/j62vO56p9ot966y1sNpvTo1q1ao726OhoXnzxRYoXL463tzcdO3bk1KlT6V60iIiIiIhIlrByJTz4oFkp6667YMMGqFnT1VVlmIQE+OILs831+++bNdQ6doTdu806avnymeuCg+HQIVi1CmbNMn8ePJj9AzTcwpzomjVrsmLFiqQbeCTdYtCgQfz88898//33FC5cmL59+xIcHMz69evTp1oREREREZGsYtYs6NkT4uIgMBDmzTNDuXOozZvNGmm//26Oq1WDqVPhkUdSvt7d3XwtOU2aQ7SHhwelUtgcPDw8nM8//5xZs2bx0EMPATB9+nSqV6/Oxo0buf/++2+/WhEREREREVezLJg0CYYMMcedO8NXX5nFxHKgM2fgtdfg88/NRy9YEN58E/r1yxW7diWT5jnR+/bto3Tp0lSoUIHu3btz5MgRAP744w/i4uJ45JpfQ1SrVo2yZcuyYcOGG94vJiaGiIgIp4eIiIiIiEiWlJAAL72UFKAHDoRvv82RATo+Hj74wAzdnjbNBOjHH4c9e+Dll3NngIY0hugGDRowY8YMlixZwkcffcTBgwcJCAjg0qVLnDx5Ek9PT4pcN3yhZMmSnDx58ob3HDduHIULF3Y8/Pz8bumDiIiIiIiIZKjoaLMMdUiIOX73XXjvPXDLees1//or3HOP6W2+eBHuvtusl/bVV9l7j+f0kKbh3C1btnQ8r127Ng0aNKBcuXLMmTOH/Pnz31IBw4YN46WXXnIcR0REKEiLiIiIiEjWcvEidOhglqLOkwdmzIBu3VxcVPo7fhxeecVM9wYoWhTGjIFnnsne21KlpzTPib5WkSJFqFKlCvv376dZs2bExsZy8eJFp97oU6dOpTiHOlHevHnJmwOHPoiIiIiISA5x/Di0bGk2RS5Y0Cwg9vDDrq4qXcXGmg72UaMgKsrs6fzMM/D223DHHa6uLmu5rXEHkZGRHDhwAB8fH+655x7y5MnDypUrHe179uzhyJEjNGzY8LYLFRERERERyXQ7d5o9oHfsgFKlzDjnHBagly6FWrVg6FAToBs2hC1b4OOPFaBTkqae6MGDB9O2bVvKlSvHiRMnePPNN3F3d6dr164ULlyYXr168dJLL1GsWDEKFSpEv379aNiwoVbmFhERERGR7GftWmjXzgzlrloVliwBf39XV5VuDh40a6TNn2+OS5aECROgR48cOc073aQpRB87doyuXbty7tw5SpQoQePGjdm4cSMlSpQAYPLkybi5udGxY0diYmJo0aIFH374YYYULiIiIiIikmF++AG6d4eYGGjUCBYsgOLFXV1VurhyBd55xzyio81c5/79zbZVhQu7urqsz2ZZluXqIq4VERFB4cKFCQ8Pp1ChQq4uR0REREREcpsPPjCp0rKgfXuzhdUtLqSclViW6XUeNAgOHzbnHnoI3n8fatZ0aWkul5Ycqk56ERERERERMClz2DCzr5NlwXPPmR7pHBCg//kHWrSA4GAToP384PvvYcUKBei0uq3VuUVERERERLIlu93MeQ4LMxsfN2gAzz4LX39t2kePhtdfN8tUZ2OXLpkVt0NCID4ePD1hyBDzu4ICBVxdXfakEC0iIiIiIrlLaCgMGADHjiWdy5vXzH92d4fPPoOnnnJdfenAssxez0OGmN8TALRpA5MnQ6VKrq0tu1OIFhERERGR3CM0FDp1MinzWjEx5s9XX832AXrbNjMifd06c1yxIkyZAq1bu7SsHENzokVEREREJHew200P9M3WVv7qK3NdNnT+PLz4ItxzjwnQXl4wZgz8/bcCdHpST7SIiIiIiOQOa9c6D+FOydGj5rrAwEwpKbWun8IdEGBGnie2ffGFmed87pw517kzTJxoFhCT9KUQLSIiIiIiuUPi5OD0ui6TpDSF29fXDNEuXRr69oU//jDna9aEqVOhaVPX1JobKESLiIiIiEjuUKpU6q7z8cnYOtLgRlO4jx+Hjh2TjgsVgpEjzXDuPHkyt8bcRiFaRERERERyvuho+Pjjm19js5ku3oCAzKnpP9xsCve15558Et55B0qWzLzacjOFaBERERERydlOnYIOHWDjRnBzg4QEE5ivTaKJ+0GHhCRNNnax1EzhBujZUwE6M2l1bhERERERybl27oQGDUyALloUVqyAH36AMmWcr/P1hblzITjYNXWmIJtO4c7x1BMtIiIiIiI509KlZpnqiAizWfLPP0PVqqatffsbL3edRRQvnrrrstAU7lxBIVpERERERHKejz6Cfv3MxOIHHzQrdF2bSt3ds9w2VoksCxYuNPOhbyaLTeHONTScW0REREREcg67HQYOhBdeMM+ffBKWLUt9t66L7dsHrVtDu3Zw8KAZgQ5JU7YTZcEp3LmGQrSIiIiIiOQMly6ZBcSmTDHHY8bA9OmQN69Ly0qNyEgYNgzuugsWLzbbVA0dCocPZ5sp3LmGhnOLiIiIiEj2d/QotGkD27dDvnzw5ZdmPnQWZ1nw3XcwZIjZ+xkgKMj8HqBKFXMcHJwtpnDnGgrRIiIiIiKSvW3ZAm3bwsmTZq+nH380K3Jncdu3m2nbv/5qjitUgMmTzUe5fvh2Fp7CnetoOLeIiIiIiGRfoaFm4bCTJ81Y6E2bsnyAvnDBhOe6dU2Azp8fRo82u3G1a5c8QEvWohAtIiIiIiLZj2XBO+9Ax45w5Qq0bAnr10O5cq6u7IbsdvjsMzNM+4MPICEBHnsM/vkH3njDjEKXrE/DuUVEREREJHuJjYXnn4cvvjDHffuacdAeWTfebNxoyvzjD3NcowZMnQoPPeTauiTtsu5PmYiIiIiIyPXOnze9z6tXg5ubWYGrb19XV3VDJ0/Cq6+adc4AChWCkSPhxRfNCtyS/ShEi4iIiIhI9rBvn1mBe+9e8PaG2bOhVStXV5WiuDgzZPuttyAiwpx76ikYN86sfSbZl0K0iIiIiIhkfb/+Co8+anqiy5aFhQuhVi1XV5WilSuhf3/Ytcsc169vhm7ff79r65L0oYXFREREREQka/vyS3jkEROg77vPrMCdBQP04cPQqZMpddcuuOMOs5DYpk0K0DmJQrSIiIiIiGRNCQnw+uvQs6cZH/3YY2YudKlSrq7MSXS02aKqenX44QczVbtfPzPqvHdvcyw5h4Zzi4iIiIhI1nPlCjzxBMyda45ffx1GjcpSidSyYMECGDQIDh4055o0MUO3s2BHuaQThWgREREREclaTp6E9u3h99/NEtaffQZPPunqqpzs2QMDBsDSpea4TBmYNAk6dwabzbW1ScZSiBYRERERkaxjxw6zAveRI1CsGISGmu7dLOLSJTN0OyTEjDD39ISXX4bXXjMLhkvOpxAtIiIiIiJZw+LF0KWLSapVqpgVuCtXdnVVgBm6PWsWDBkCYWHmXOvWJkxXquTS0iSTZZ0JBSIiIiIikntNnWp6oC9dgsBA2LAhywTobdvgwQehRw8ToCtWhJ9+MhlfATr3UYgWERERERHXiY83S1n3729W4376aTPRuFgxV1fG+fPwwgtwzz2wbh14ecGYMfD33ybvS+6k4dwiIiIiIuIaERHwv/+ZYdwA48fDK6+4fGUuu92sZfb66yZIgxll/u674Ofn0tIkC1CIFhERERGRzHf4sOnO/ftvyJ8fvvkGgoMz7e3tdli71gzP9vGBgABwd4fffoO+fWHrVnPdXXeZkeaBgZlWmmRxCtEiIiIiIpK5Nm0yW1idOgWlSpkJxvXrZ9rbh4aa7amOHUs65+Nj1jJbs8YcFy5sVuF+/nnwUGqSa+jHQUREREREMs/338MTT0B0NNSpYwJ0Jo6RDg2FTp3MatvXCgtLWnW7Vy8YOxbuvDPTypJsRAuLiYiIiIhIxrMsk0w7dzYBunVrM546EwO03W56oK8P0NcqWRI++UQBWm5MIVpERERERDJWTAw89ZRZqQtg4ED48UcoWDBTy1i71nkId0pOnTLXidyIhnOLiIiIiEjGOXcOHn3UJFN3d7NK1/PPu6SUw4dTd13isG6RlChEi4iIiIhIxtizx6zAvX8/FCoEc+ZAixaZXoZlwYIFMHRo6q738cnYeiR7U4gWEREREZHbk9J+Ub/+Ch07woUL4O8PCxdCzZqZXtqePWYe9NKl5tjd3ZSbEpsNfH1N+SI3ohAtIiIiIiK3LqX9oooWhfBwSEiA++83858zeaWuS5fg7bdh8mSIiwNPTxg82OT4Hj3MNdcuMGazmT9DQkzQFrkRhWgREREREbk1N9ov6sIF8+cDD8Dy5ZA/f6aVZFnw7bcwZAicOGHOtWoFU6ZApUrmOF++5Lnf19cE6ODgTCtVsimbZd1sgffMFxERQeHChQkPD6dQoUKuLkdERERERFJit5th2jdb7trPDw4ezLSu3e3boV8/M5IcoGJFE4zbtEl+bUoj0NUDnXulJYeqJ1pERERERNIuNftFHT1qrgsMzNBSLlyAESPgww/NCPL8+c1uWi+/bHqdU+LunuFlSQ6lEC0iIiIiImmX2n2gMnC/qIQE+OILGDYMzp415x57DCZOhLJlM+xtJZdTiBYRERERkbQrVSp112XQflG//w59+8Lmzea4Rg2zBfVDD2XI24k4uLm6ABERERERyWaio+HLL29+jc1m5kSn835Rp09Dr17QoIEJ0AULwnvvwbZtCtCSOdQTLSIiIiIiqXf8uFnC+vffTVC2rKQ/E2XAflHx8WbO84gRZvcsgCefhPHjU98pLpnLnmBn7ZG1hF0Kw6egDwFlA3B3y/6rtylEi4iIiIhI6vz2G3TsCCdPmr2g58yBiIgM3y9qzRqz6vaOHea4Xj344ANo2DBdbi8ZIHR3KAOWDOBYRNLPhW8hX6YETSG4evbeR0xbXImIiIiIyH/77DN48UWIi4NatWD+fKhQwbRl0H5Rx46Z/Z6/+84cFysGY8dC797ajiorC90dSqc5nbBwjpo2zAiFuZ3nZrkgnZYcqhAtIiIiIiI3FhsLAwfCRx+Z406dYPp08PbOsLeMiYHJk+HttyEqCtzc4NlnYfRoKF48w95W0oE9wY7/FH+nHuhr2bDhW8iXgwMOZqmh3WnJoVpYTEREREREUnbqFDz8sAnQNptJtXPmZGiAXrzYdHQPG2YCdKNGsGWLmQ+tAJ31rT2y9oYBGsDC4mjEUdYeWZuJVaUvzYkWEREREZHktmyBRx81Y6oLFYKZM6FNmwx7u3//hUGDYMECc1yqFEyYAD16JK1TJlmTPcHOzjM72XB0AzN3zEzVa8IuZdz+4RlNIVpERERERJx99RU884wZV121Kvz4o/kzA1y+bFbYnjDBvJ2Hh1mnbMQIk90l67lw5QIbj21kw7EN/Hb0N34//juXYi+l6R4+BTNm//DMoBAtIiIiIiJGfLxZySskxBy3aQPffAOFC6f7W1kWhIbCSy/BkSPm3COPwPvvQ/Xq6f52cosSrAR2ndnFhqMb2HDMPP45+0+y67w9vbmvzH00KNOAz/74jHNXziVbWAyS5kQHlE3f/cMzk0K0iIiIiIjA2bPQpQv88os5fuMNGDnSrOqVznbvhv79YcUKc1y2LLz3ntkRS0O3Xeti9EU2HdvEb0d/Y8OxDWw6vomImIhk11UuVpmGfg1p6Gsed915l2OhsPql69NpTids2JyCdOLq3CFBIVlqUbG0UogWEREREcnt/voLOnSAQ4egQAH48kuzH3Q6i4iAUaNgyhTT6Z03L7zyCrz6Knh5pfvbyX9IsBL45+w/Tr3Mu87sSnZdgTwFuK/MfSYw+zXkft/7ucPrjhveN7h6MHM7z01xn+iQoJAst71VWmmLKxERERGR3GzOHHjqKTM5uUIFM//5rrvS9S0sy4wKf+UVOHnSnGvXzmxjlbjVtNycPcHO2iNrCbsUhk9BHwLKBqS5NzciJiJZL/PF6IvJrqtYtKJTL3OtkrXwcEt7/2t61JxZ0pJD1RMtIiIiIpIb2e1myPb48ea4WTP47jsoVuyWbrV2LYSFgY8PBASA+9WstHUr9O0Lv/1mjitXNj3RLVum0+fIBUJ3h6bYqzslaMoNe3UTrAT2ntvr1Mu88/TOZPOUvfJ4cW/pe516me8scGe61O3u5k6gf2C63CsrUYgWEREREcltLl6Ebt3MpswAgwfDuHFmaew0Cg01q2kfu2ZrYF9fs6X0xo3wySemJ7pAAZPZBw0yw7gldUJ3h9JpTqdk4fd4xHE6zenE3M5zCa4ezKWYS/x+/HdHL/PGYxu5EH0h2f3KFylPQ7+GNPJtREO/htS6sxZ53PNk1sfJETScW0REREQkN9m1y8x/3rcP8uWDzz83gfoWhIZCp04mJN/M//4H775rwrWknj3Bjv8Uf6ce6OsVyFOACkUrsPPMThKsBKe2/B75qV+6vqOXuaFvQ0p6l8zosrMlDecWEREREZHkfvwRHn8cLl0yS2LPmwf16t3Srex20wN9swCdJ4/p7H744VusN5dbe2TtTQM0QFRcFDtO7wDAv4i/Yx5zQ7+G1ClZR73MGUAhWkREREQkp0tIgNGj4a23zHGTJmZBsTtvfe7r2rXOQ7hTEheXNDdaUi/BSuCvk38x7c9pqbp+0P2DGNJoCD4FfTK4MgGFaBERERGRnO3SJXjiCZg/3xz37Ws2Zc5zez2UYWHpe11ulmAlsPP0TlYdWsWqQ6tYc2hNivOZb6Rd1XYK0JlIIVpEREREJKfavx/atzfzoD094aOP4Omn0+XWJ06k7jofZbtkLMti99ndrDp4NTQfXsPZy2edrinoWZDGZRvz29HfCI8JT/E+Nmz4FvIloGxAZpQtV91WiB4/fjzDhg1jwIABhISEABAYGMiaNWucrnv22Wf5+OOPb+etREREREQkLZYsga5dzUrcPj5mFbD777/t2x45Ai+/DHPn3vw6m80sJBagfIdlWew9t5fVh1az6tAqVh9azamoU07XFMhTgMZlG9PUvylNyzelnk89PNw8HKtzA04rdNuwARASFJJl917OqW45RG/evJlPPvmE2rVrJ2vr06cPo0aNchx7eXnd6tuIiIiIiEhaWBZMmADDhpnnDRvCDz/cdpdwdDRMmgRjxsCVK+DmBi1amKye+LaJbCbfERKSO+dEW5bFvxf+dQzPXn1oNScuOXfd5/PIxwN+DzhC872l701xEbDg6sHM7Tw3xX2iQ4JCbrhPtGScWwrRkZGRdO/enc8++4y33347WbuXlxelSpW67eJERERERCQNoqKgVy+YPdsc9+4NH3xw2xszL1xoVuL+919zHBAAU6dCnTo33ic6JASCc1G+O3TxkGN49upDqzkacdSpPa97Xhr6NTSh2b8p95W5j7weqfvfJbh6MO2rtmftkbWEXQrDp6APAWUD1APtIre0T/STTz5JsWLFmDx5MoGBgdx9991Ow7l37tyJZVmUKlWKtm3bMnz48Bv2RsfExBATE+M4joiIwM/PT/tEi4iIiIikxaFDZv/nv/4CDw94/3147rmkbuFbsG8fDBwIixaZ49KlYeJEs+/ztbe1281q3WFhpsM7ICDn90AfDT/qGJ696tAqDl085NSexy0PDXwbOEJzQ7+G5PPI55pi5T9l6D7R3333HX/++SebN29Osb1bt26UK1eO0qVLs337doYOHcqePXsIDQ1N8fpx48YxcuTItJYhIiIiIiKJfvkFOneGc+egRAkzYfnBB2/5dlFRMHasCcyxsWYh70GD4I03oGDB5Ne7u0Ng4K2X7wr2BHuaenbDLoWZwHy1t/nAhQNO7R5uHtxb+l7H8OxGfo3wyqNprTlRmnqijx49Sv369Vm+fLljLvT1PdHX++WXX3j44YfZv38/FStWTNaunmgRERERkVtkWabH+eWXTXfwPffAvHng53fLt5szBwYPThqe3by5eYuqVdOxbhcL3R2a4hzjKUFTHHOMT0WecloIbM+5PU73cLO5Ub90fQLLBdK0fFMal22Mt6d3pn4OST9p6YlOU4ieP38+jz76KO7XjM2w2+3YbDbc3NyIiYlxagOIiorC29ubJUuW0KJFi3QtXkREREQk14qONsO1v/zSHPfoAZ9+Cvnz39Lt/v4b+vWD1avNsb8/TJ5sdsi6jRHhWU7iatfXrnQNZrVrC4ugikEciTjCrjO7krXX9anrGJ4dUC6AQnmVV3KKDBvO/fDDD7Njxw6nc0899RTVqlVj6NChyQI0wLZt2wDw0QZxIiIiIiLp49gxs2rX5s1mmeyJE83k5VtIu+Hh8NZbZqEwux3y5TMLew8Zcst5PMuyJ9gZsGRAsgANSdtHLTmwxHGuTsk6NPVvSqB/IA+We5Ci+YtmWq2SdaUpRBcsWJC77rrL6VyBAgUoXrw4d911FwcOHGDWrFm0atWK4sWLs337dgYNGsSDDz6Y4lZYIiIiIiKSRuvXQ8eOcOoUFCtmVuJ+5JE03yYhwXRiv/oqnD5tzj36KLz3numFzmksy2LWjllOQ7hvZGTgSF6890WKexXPhMoku7nlfaJT4unpyYoVKwgJCSEqKgo/Pz86duzIG2+8kZ5vIyIiIiKSO33yiRlzHRcHtWrB/PlQoUKab7NlC/TtC5s2meOqVc285+bN07dcV7sSd4U1h9ewaN8iFu1blGwxsBupXKyyArTc0G2H6NWJkyYAPz8/1qxZc7u3FBERERHJ3a7fM6pBA7M89iefmPbHHoPp06FAgTTd9uxZeO01mDbNLCLm7Q1vvgn9+4OnZwZ8Dhc4dPGQIzT/cvAXrsRfcbS529yxW/b/vIdPQU1FlRtL155oERERERG5TaGhMGBA0vLYYBJubKyZ8/z222bSchrmP8fHm/w9fDhcuGDOde8OEyaYvZ+zs1h7LOuPrOfnfT+zaN8idp/d7dTuW8iXVpVa0apyK5qUa0Ktj2txPOJ4ivOibdjwLeRLQNmAzCpfsiGFaBERERGRrCI0FDp1Mt3E14qNNX8OG2a6ktNg3TozdPuvv8xxnTpmEbGAbJwTT1w6weJ9i1m0fxHLDyznUuwlR5u7zZ1Gfo1oVdkE51p31sJ2zS8cpgRNodOcTo7VuBPZMNeEBIXcdL9okTRtcZUZtMWViIiIiORKdrtZ0evYDRa+stnA1xcOHoQUdsW53okT8MorMHOmOS5SBMaMgWeeAY9s1pUWnxDPpmObzDDt/YvYdnKbU/udBe6kZaWWtKrcimYVmv3nKtop7RPtV8iPkKAQxz7Rkrtk2D7RmUEhWkRERERypdWroWnT/75u1SoIDLxhc2wsTJkCo0ZBZKTJ3r17mwBdokS6VZvhzkSdYcn+JSzav4il+5dyIfqCo82GjfvK3Ofoba7nUw83m1ua7m9PsLP2yFrCLoXhU9CHgLIB6oHOxTJsn2gREREREckgYWG3fd2yZWaRsD17zHGDBvDBB1C/fjrUl8ESrAT+OPGHo7d58/HNTsOti+YrSlClIFpVbkWLii0oUeD2fiPg7uZOoH/gbVYtuZFCtIiIiIhIVuCTyhWhU7ju0CF46SWYN88c33knvPMOPPEEuKWtgzZTXbhygeX/LmfRvkUs3r+Y01GnndrvLnW3Y1GwBr4N8HBTfBHX00+hiIiIiEhWEBBg5jwfP558YTFImhN9zYpgV66YFbbHj4foaDNVum9feOstMwc6s6R2aLRlWew4vcOxBdVvR39z2nKqoGdBmlVsRqtKrQiqFESZQmUy70OIpJJCtIiIiIhIVuDubiYzd+pkAvO1QTpxdemQEHB3x7JgwQIYOND0QoOZJj11Ktx1V+aWndIiXb6FfJkSNIXg6sFcirnEyoMrHcH5+KXjTq+vUaKGo7f5gbIP4OmeQzaslhxLC4uJiIiIiGQloaFYAwZgu2aVbsvXD9uUEAgOZs8es4300qWmzdcXJk2Cxx5L09bR6VPq7lA6zemUbM/lxO2jat1Zi3/O/kNcQpyjLb9Hfh6u8DCtKrWiZeWW+Bfxz9yiRVKghcVERERERLKpUIIZZLWnPGvxIYwwfDhoBTD2ijvbh8LkyRAXB56e8PLLZttob+/Mr9OeYGfAkgHJAjTgOLfj9A4AKhStQOvKrWlVuRVNyjUhf578mVqrSHpSiBYRERGRnC82Fj7+GF54IUtvkhwaakZzW5Y7RwhMajgOPXokHbZqZUZ2V66c2RUmWXVwldMQ7hv5qsNX9KjdA1tmd5OLZJCs+18QEREREZH0YFnQpw989RVs2ADffuvqilJkt5th2jebbOnuDj/8AO3bZ15d14q1x7Ly35XM3TWX2Ttnp+o1Hm4eCtCSoyhEi4iIiEjONmKECdDu7vDkk66u5obWroVj/9Gxa7dD4cKZU0+imPgYlv+7nLm75vLjnh+5GH0xTa/3KZjKrbtEsgmFaBERERHJuT77DN5+2zz/5BMICnJtPTcRFpa+192O6Pholu5fytzdc1mwZwERMRGOtpIFStKxekeCqwfTc35Pjl86nuK8aBs2fAv5ElA2IFmbSHamEC0iIiIiOdOiRfD88+b5iBHQq5dr6/kPPqnssE3tdWl1Je4Ki/cvZu6uufy09yciYyMdbaULlqZj9Y50qtGJB/wecOwBPaXlFDrN6eRYjTuRDTN8OyQoJMX9okWyM21xJSIiIiI5zx9/QJMmEBUFPXvCF19k/v5PaWS3g78/HD+e8rxom81sZ3XwoBmZnh6iYqNYvH8x3+/6np/3/kxUXJSjzbeQL52qd6JTjU409GuIm80txXuktE+0XyE/QoJCCK4enD6FimSwtORQhWgRERERyVkOHoSGDeHUKWjWDH7+GfLkcXVVqZK4Ojc4B+nE/D93LgTfZi6NjI3k570/8/2u71m0bxFX4q842soVLkenGiY431fmvhsG5+vZE+ysPbKWsEth+BT0IaBsgHqgJVtRiBYRERGR3On8eWjUCPbsgTp14NdfIZv9mzI01KzSfe0iY35+ZkurWw3QETERLNy7kO93fc+S/UuIjo92tJUvUp7HajxGpxqdqF+6vlbSllwpLTlUc6JFREREJGeIjjZ7P+3ZY1Lnzz9nuwANJii3b29W6w4LM3OgAwLSPoT7YvRFftrzE3N3z2Xp/qXE2GMcbZWKVXIE57ql6io4i6SBQrSIiIiIZH8JCfDEE7BundkDavFiKFPG1VXdMnd3CAxM++suXLnAj3t+ZO6uuSw7sIy4hDhHW9XiVR3BuXbJ2grOIrdIIVpEREREsr8hQ+D7783c53nzoGbNZJf8+y9UqOCC2m5BWuYYn7t8jvn/zGfu7rms+HcF8QnxjrYaJWo4gnPNEjUVnEXSgUK0iIiIiGRv778P771nns+YAU2bJrvk66/hqafg44+hd+/MLS+tUlrt2reQL1OCpjhWuz4TdYZ5/8xj7q65/HLwF+yW3XFtrTtr8ViNx+hYoyM1StTI9PpFcjqFaBERERHJvkJDYeBA83zcOOjWLdklP/9sArTdDrt2ZW55aRW6O5ROczo57bkMcDziOJ3mdKJPvT7sv7Cf1YdWk2AlONrvLnW3Cc7VO1L1jqqZXbZIrqLVuUVEREQke/rtN3j4YbOg2PPPw//9X7K9oNevN7tcXbkCjz9uOqrdUrdrU6azJ9jxn+Lv1AN9M/f43OPYjqpSsUoZXJ1IzqbVuUVEREQkZ9u7F9q1MwG6bVszpPu6AL1jB7RpYwJ069bw+edZN0ADrD2yNlUB+tl6zzK08VDKFy2fCVWJyPWy8H9GRERERERScPo0tGwJ587BvffCt9+Ch3Pf0MGD0KIFXLwIjRvDnDlmzbGsLOxSWKqua+LfRAFaxIUUokVEREQk+4iKMt3LiUttL1wIBQo4XXLqlBnCHRYGtWrBTz+Bl5eL6k0Dn4I+6XqdiGQMhWgRERERyR7i46FrV9i8GYoXN3tB33mn0yXh4RAUBAcOQPnysHQpFCnimnLTKqBsAL6FfLGR8jZUNmz4FfIjoGxAJlcmItdSiBYRERGRrM+yoH9/062cL5/5s0oVp0uio6F9e9i2DUqWhGXLwCcbddq6u7kzJWgKQLIgnXgcEhRyw/2iRSRzKESLiIiISNb3zjvw0Udm8bBZs6BhQ6fm+Hj43/9gzRooVAiWLIFK2XDB6uDqwcztPJcyhco4nfct5MvcznMd+0SLiOtodW4RERERydpmzYJhw8zzkBB49FGnZsuCZ5+FH3+EvHlhwQK4++5MrzLdBFcPpn3V9qw9spawS2H4FPQhoGyAeqBFsgiFaBERERHJulatgp49zfOXXjJDuq/z6qvwxRdm+6rZs6FJk5RvteXEFuqXrp9xtaYjdzd3Av0DXV2GiKRAw7lFREREJGv6+2/T6xwXB507w7vvJrtk4kSYMME8nzbNzIlOyXsb3uPez+7lnXXvZGDBIpIbKESLiIiISNZz/LjZCzo8HAIC4MsvTVfzNWbMgCFDzPMJE+Cpp1K+1ad/fMrLy14GID4hPgOLFpHcQCFaRERERLKWiAho1QqOHYNq1WD+fLMi9zV+/BF69zbPhwxJCtPX+2b7Nzy38DkAhj4wlNcCXsvAwkUkN1CIFhEREZGsIy4OOnWC7dvNPlWLF0OxYk6XrFkDXbqA3W56n9+5wQjtebvn0XN+TywsXrz3RcY9PA6bLeU9mEVEUkshWkRERESyBsuCPn1g+XIoUAB+/hn8/Z0u2boV2rWDmBgz//nTT82uV9dbun8p//vhf9gtO0/WeZL3W76vAC0i6UIhWkRERESyhrfeMnOf3d1hzhy45x6n5v37ISjIjPZ+8EH49lvwSGGvmV8P/8qjsx8l1h5LpxqdmNZuGm42/bNXRNKH/msiIiIiIq43bRqMGmWef/yxmRN9jbAwaN4cTp82e0AvWAD58ye/zebjm2kzqw1X4q/QqnIrZgbPxMNNu7qKSPrRf1FERERExLUWL4bnzOJfvPFG0ophV124AC1awMGDULEiLFkChQsnv82OUzsImhnEpdhLBPoHMvexuXi6e2K321m7di1hYWH4+PgQEBCAu7t7JnwwEcmJFKJFRERExHX+/BMee8ysEvbEE0m90Vddvgxt28KOHVCqFCxbZtYbu97ec3tp9nUzzl85T4MyDVjwvwXkz5Of0NBQBgwYwLFjxxzX+vr6MmXKFIKDgzP604lIDqTh3CIiIiLiGocOQevWEBUFjzwCn33mtEpYXBx07gzr15ue56VLoUKF5Lc5fPEwj3z1CKeiTlGnZB0Wd19MwbwFCQ0NpVOnTk4BGuD48eN06tSJ0NDQDP6AIpIT2SzLslxdxLUiIiIoXLgw4eHhFCpUyNXliIiIiMh10mV49Pnz8MAD8M8/ULs2/Pqr0xjthATo2RO+/tpsEb18OTRunPw2YZfCCJgewIELB6h2RzXW9FzDnQXuxG634+/vnyxAJ7LZbPj6+nLw4EEN7RaRNOVQDecWERERkVRLl+HR0dHQoYMJ0L6+sGiRU4C2LBg82ARod3eYOzd5gI6JiWHfiX08Ov9RDkQc4E7PO3na42m+/PBLzp8/z99//33DAG3ew+Lo0aOsXbuWwMDANHwDIpLbqSdaRERERFIlcXj09f98TNx/ee7cuf8dpBMSoGtXs4VVoULE/vIL50qX5vz585w7d47z58/z9de+hIbWByAw8AuKF1/E+fPnHY9z585x2X4ZngRKAxHAdOBC2j/TrFmz6Nq1a9pfKCI5inqiRURERCRd2e12BgwYkCxAg+nVtdls9OvXj0qVKnHx4sVkoTfxeadNm+hy9CixQIeYGBbXr3/d3XoDn119PojVq0OSF5MHeBwoDbYrNsr+Whafqj4UL16cYsWKUaxYMcLDw5kxY8Z/fi4fH5+0fA0iIuqJFhEREZH/tnr1apo2bXpb9+gLTL36vAcw8+pzNzc3ihUrRp48XQgLmwK4c9ddC3j44V8oVqyYUzj2LuLNq3+9yrqwdRTOW5hVT66irk/dZO+VOCf6+PHjKQZ/zYkWkWupJ1pERERE0lVYWFiqrvP29qZ06dKO0JsYghueOkXn2bPBstjbsycDXniBUVfDcaFChVi92o2WLc09+vSBTz5ph83WzunecfY4Hvv+MdaFraNAngIs7r44xQAN4O7uzpQpU+jUqRM2m80pSCcOPw8JCVGAFpE0U4gWERERkf+U2mHPP/30U/KFujZsgIceMiuGPfssVT76yGkrqz/+gPbtITYWgoPhumYA7Al2npz/JD/u+ZG87nlZ0HUBDf0a3rSW4OBg5s6dm+JCaCEhIdonWkRuiUK0iIiIiNxUQkICy5cvv+k1icOjAwICnBv27YO2bc2K3G3awAcfOCXkvXuhZUuIjISmTWHmTLMi97Usy+K5hc/x7d/f4uHmwQ+df+Ch8g+lqvbg4GDat29/+1tyiYhcpRAtIiIiIjcUHh5Ojx49WLhwoeNcqodHnz5tEvK5c1C/Pnz3HXgk/fPz+HFo1gzOnIF69WD+fLMn9LUsy+KlpS8xbes03GxuzAyeSesqrdP0Gdzd3bWNlYikGzdXFyAiIiIiWdOePXto0KABCxcuJG/evHz11Vf88MMPlClTxuk6X1/f5NtbRUWZHugDB6B8eVi4EAoUcDSfPw/Nm8ORI1ClCixeDCmt5fPm6jcJ2RQCwOftPqdzzc4Z8VFFRFJNPdEiIiIikszChQvp3r07ERER+Pr6Mm/ePOpf3Y7qP4dH2+3QrRv8/jsUK2YScsmSjuaoKGjdGnbtgtKlYdkyuPPO5DVMWD+B0b+OBmBqy6n0vLtnRn5kEZFUUYgWEREREYeEhATGjh3LiBEjsCyLxo0bM3fuXEpeE4JvOjzasqB/f1iwAPLmNX9Wrepojo2FTp1g40YoWtQE6HLlkt/mw80fMnTFUADGPTyOvvf1Tc+PKSJyyxSiRURERASAS5cu0bNnT0JDQwF44YUXmDx5Mp6enqm/ybvvwocfmsXDZs6EBx5wNCUkQM+esGQJeHnBzz9DzZrJb/HVX1/x4qIXAXit8Wu82vjV2/lYIiLpSiFaRERERDhw4ADt27dn586d5MmThw8//JDevXun7SbffgtDTe8x770HHTs6miwLBg40l3h4wA8/QMMUdqj6YdcPPPXjUwD0v68/bz/09i1+IhGRjKEQLSIiIpLLLVu2jC5dunDx4kV8fHz44YcfaJhSwr2Z1avhySfN84EDzeMab78NU6ea519+CUFByW+xaN8iuv7QlQQrgafvfprJQZMdK3+LiGQVWp1bREREJJeyLIuJEyfSsmVLLl68SIMGDdiyZUvaA/TOndChA8TFmQnPkyY5NX/0EYwYYZ6//75Zc+x6qw+tpuOcjsQlxNGlZhc+bfspbjb9U1VEsh79l0lEREQkF7p8+TLdu3dnyJAhJCQk8PTTT7NmzRpKly6dthudOGH2gg4PN/Ofv/4a3JL+iTlnDrxopjczfDj065f8FpuObaLtt22Jjo+mbZW2fP3o17i7uSe/UEQkC9BwbhEREZFc5vDhw3To0IFt27bh4eFBSEgIL7zwQtqHTkdEQKtWcPSoWYH7xx8hXz5H8/Ll0KOHmQ/93HMwcmTyW/x18i+CZgYRGRvJw+UfZs5jc8jjnuc2P6GISMZRiBYRERHJRVavXs1jjz3G2bNnKVGiBN9//z1NmjRJ+40Sh27/9ZfZ5HnxYihe3NG8aRM8+qi5rHNn+OADs2D3tfac3UOzr5txMfoijfwaMf9/88nnkQ8RkaxMw7lFREREcgHLspg6dSqPPPIIZ8+epV69emzZsuXWArRlwbPPmq7mxL2qypd3NO/ebTqoo6LgkUfgq6/A/brR2QcvHOThrx7mzOUz1C1Vl5+7/Yy3p/dtfkoRkYynEC0iIiKSw0VHR/P000/Tv39/7HY7PXr0YN26dZQtW/bWbrh0KUyfbuY+z5kD9es7mo4cgebN4fx5uPdemDcP8uZ1fvmJSyd45OtHOH7pONXvqM7SHkspkq/IrX9AEZFMpOHcIiIiIjnYsWPHCA4OZvPmzbi5ufHuu+8yaNCgW986KiEBhg0zzwcOhNatHU1nz5oAfewYVKsGixaB93Wdy2eizvDIV4/w74V/qVC0AiueWEGJAiVurRYRERe4rZ7o8ePHY7PZGHjNPoDR0dG8+OKLFC9eHG9vbzp27MipU6dut04RERERSaP169dTv359Nm/eTLFixVi6dCkvvfTS7e29/P33sG0bFCyYFKaBS5fMEO49e8DX13RW33GH80svRl+k+TfN2X12N76FfFn5xEpKF0zjauAiIi52yyF68+bNfPLJJ9SuXdvp/KBBg/jpp5/4/vvvWbNmDSdOnCA4OPi2CxURERGR1Pvkk09o2rQpp06dolatWmzevJlHHnnk9m4aFwdvvGGeDxniSMkxMRAcDJs3m7XFli2D60eKR8ZG0mpmK7ad3MadBe5kxeMr8C/if3v1iIi4wC2F6MjISLp3785nn31G0aJFHefDw8P5/PPPee+993jooYe45557mD59Or/99hsbN25Mt6JFREREJGWxsbE899xzPPfcc8TFxfHYY4+xYcMGKlSocPs3/+IL2L8fSpQwQ7kBux0efxxWrIACBcwQ7urVnV8WHR9N++/as+HYBormK8ryx5dT9Y6qt1+PiIgL3FKIfvHFF2ndunWy32b+8ccfxMXFOZ2vVq0aZcuWZcOGDSneKyYmhoiICKeHiIiIiKTdyZMneeihh/jkk0+w2WyMGzeO2bNnU6BAgdu/+eXLMGqUef7GG1CwIJYFffuaEd558phFxO67z/llcfY4Hvv+MX45+Avent4s6bGE2iVrJ7+/iEg2keaFxb777jv+/PNPNm/enKzt5MmTeHp6UqRIEafzJUuW5OTJkyneb9y4cYwcOTKtZYiIiIjINX7//XeCg4M5fvw4hQsXZtasWbRq1Sr93uCDD+DECShXzmxvBbz5Jnz8sdn/+ZtvoFkz55fYE+w8Pu9xFu5dSD6PfCzsupD7ytyXws1FRLKPNPVEHz16lAEDBjBz5kzy5cuXLgUMGzaM8PBwx+Po0aPpcl8RERGR3GLGjBk8+OCDHD9+nOrVq/P777+nb4C+eBHGjzfPR46EvHmZOhVGjzanPvwQOnd2fkmClUCfn/owe+ds8rjlIbRzKE38b2FPahGRLCZNIfqPP/7g9OnT1KtXDw8PDzw8PFizZg3vv/8+Hh4elCxZktjYWC5evOj0ulOnTlGqVKkU75k3b14KFSrk9BARERGR/xYXF8eAAQN46qmniImJoV27dmzcuJEqVaqk7xu9+y5cuAA1akCPHmzdCgMGmKZRo+C555wvtyyLgUsGMn3bdNxsbnzb8VtaVm6ZvjWJiLhImoZzP/zww+zYscPp3FNPPUW1atUYOnQofn5+5MmTh5UrV9KxY0cA9uzZw5EjR2jYsGH6VS0iIiKSy505c4YuXbqwatUqAN58801GjBiBm9tt7WCa3MmTEBJino8di+XmzpAhYFnw2GNJi3Vf641f3mDq71MBmN5+Oh1rdEzfmkREXChNIbpgwYLcddddTucKFChA8eLFHed79erFSy+9RLFixShUqBD9+vWjYcOG3H///elXtYiIiEgutnXrVh599FEOHz6Mt7c3X3/9NR06dMiYN3v7bbOo2P33Q7t2LF0KK1eCpye8846ZD32tcWvHMXbdWAA+bPUhT9R5ImPqEhFxkTQvLPZfJk+ejJubGx07diQmJoYWLVrw4YcfpvfbiIiIiORK3377Lb169eLKlStUqlSJH3/8kRo1amTMm/37L3zyiXk+bhz2BBtDhpjDvn2hfHnny6dumsprv7wGwIRHJvD8vc9nTF0iIi5ksyzLcnUR14qIiKBw4cKEh4drfrSIiIjIVXa7nWHDhvHuu+8CEBQUxKxZsyhatGjGvWmPHjBzJjRvDkuX8sUX0KsXFCkCBw5AsWJJl07fOp2nFzwNwIgHRzCyqXZfEZHsIy05NJ0nzYiIiIhIejt//jytWrVyBOhXX32VhQsXZmyA3r4dZs0yz8eOJSoKhg83h2+84Ryg5+ycQ++fegMw6P5BvBX4VsbVJSLiYuk+nFtERERE0s/ff/9Nhw4dOHDgAF5eXkyfPp3O1+8nlRFef92sHta5M9xzDyFjzDbR/v5mKHeihXsX0j20u9nSql4fJjWfhO36idIiIjmIQrSIiIhIFhUaGsoTTzxBVFQU/v7+zJ8/nzp16mT8G69fDwsXgrs7jB7N6dNmETGAsWMhb17z/JeDv9BpTifiE+LpVqsbH7X+SAFaRHI8hWgRERERF7Lb7axdu5awsDB8fHwICAjAZrPx5ptv8vbbbwPw0EMPMWfOHIoXL57xBVkWvPqqef7001ClCiNfhEuX4J57oEsX07Th6AbafduOGHsM7au2Z0b7Gbi7uWd8fSIiLqYQLSIiIuIioaGhDBgwgGPHjjnOlS5dGh8fH/744w8ABg0axIQJE/DwyKR/ti1eDOvWme7mESPYsydpge6JE8HNDU5GnqTVrFZExUXRrEIzZneaTR73PJlTn4iIiylEi4iIiLhAaGgonTp14vqNUk6cOMGJEyfw8PDgiy++4PHHH8+8ohIS4DWzRRX9+oGvL68+CnY7tGkDgYGmafgvw7kYfZG6peoyr8s88nrkzbwaRURcTFtciYiIiGQyu92Ov7+/Uw/09UqWLMnx48dxd8/EIdLffgvdukGhQvDvv6zbXZyAANP7vGMH1KgBO07t4O5P7ibBSmD90+tp5Nco8+oTEckg2uJKREREJAtbu3btTQM0wKlTp1i7dm0mVQTExSXtYTVkCFax4gwZYg579zYBGmDw8sEkWAl0qtFJAVpEciWFaBEREZFMFhYWlq7XpYvPP4cDB+DOO2HgQObOhY0boUABGDnSXLJk/xKWHViGp7sn4x8en3m1iYhkIQrRIiIiIpnMx8cnXa+7bZcvw6hR5vnw4cR6ejNsmDkcPBhKlYL4hHgGLxsMQL/7+lGxWMXMqU1EJItRiBYRERHJZAEBAfj6+t5wT2WbzYafnx8BAQGZU9DUqRAWBv7+8MwzfPSR6ZQuVcqEaIAvtn7BzjM7KZa/GK8HvJ45dYmIZEEK0SIiIiKZzN3dnSlTpiRbmRtwBOuQkJDMWVTswgUYf3Vo9qhRXLzs6eiUHjkSvL3hUswlhq8y86XfbPImRfMXzfi6RESyKIVoERERERdo0KABefIk31vZ19eXuXPnEhwcnDmFTJgAFy9CzZrQrRvjx8P581C9Ojz9tLnknfXvcDrqNJWLVea5+s9lTl0iIlmU9okWERERcYHRo0cTFxfHAw88wOjRozl58iQ+Pj4EBARk3rZWYWEwZYp5PnYsR467ExJiDidMAA8POBp+lEkbJplzzSbg6e6ZObWJiGRRCtEiIiIimWzfvn1MmzYNgPHjx9O4cWPXFDJ6NFy5Ag0bQtu2vPEkxMRAkybQurW55LVfXiM6PpoHyz1I+6rtXVOniEgWouHcIiIiIplsxIgR2O12Wrdu7boAfeAAfPaZeT5uHFu32fjmG3M4cSLYbLDlxBa+2W5OTmo+6YYLoYmI5CbqiRYRERHJRFu3buW7777DZrMxduxY1xUyYgTEx0NQENaDTRjSDCwLunaF+vXBsixeXvYyAD1q96B+6fquq1VEJAtRT7SIiIhIJnr9dbM9VNeuXaldu7ZrivjrL5g1yzwfO5alS2HlSvD0hMRc/+OeH/n18K/k88jH2IdcGPZFRLIY9USLiIiIZJI1a9awePFiPDw8GJW4j5QrXA3ydOmCvXZdhtxtDvv1M1tFx9pjeWX5KwC8dP9L+BX2c0mZIiJZkXqiRURERDKBZVkMGzYMgD59+lCxYkXXFLJuHfz8M7i7w+jRfPkl/P03FC2alK0/3vIx+87v484Cd/Jq41ddU6eISBalEC0iIiKSCRYuXMiGDRvInz8/w4cPd00RlgWvXg3FvXoRVboyiaW8/roJ0heuXGDkmpEAjG46moJ5C7qmVhGRLEohWkRERCSD2e12XnvtNQAGDBiAj4+PawpZtAjWr4d8+WDECCZPhhMnzBDuvn3NJWPWjuH8lfPULFGTp+s+7Zo6RUSyMIVoERERkQz27bff8vfff1OkSBFeeeUV1xSRkABXgzz9+3M6Txneecccjh0LefPCvxf+ZervUwGY2HwiHm5aPkdE5Hr6L6OIiIhIBoqNjWXEiBEADB06lKJFi7qmkO++g+3boXBhGDqUkcMhMtJsZ9Wli7nk1RWvEmuPpXnF5gRVCnJNnSIiWZx6okVEREQy0GeffcbBgwfx8fGhf//+rikiNhbH5OdXXmHPmWJ88ok5fPddcHOD347+xve7vsfN5sbEZhNdU6eISDagnmgRERGRDBIZGcno0aMBGD58OF5eXq4pZNo0+PdfKFkSBgzg1R5gt0ObNhAYaFYOf2npSwA8fffT1CpZyzV1iohkA+qJFhEREckgU6ZM4dSpU1SsWJHevXu7poioKLga5Bk+nLV/FmD+fNP7nDgnevbO2Ww6vokCeQow+qHRrqlTRCSbUE+0iIiISAY4d+4cEyZMAGD06NHkyZPHNYW8/z6cPAnly2P17sOQJuZ0795QowZEx0fz6gqz7dXQB4ZSyruUa+oUEckm1BMtIiIikgHeeecdIiIiqFOnDl0SV+7KbBcuwNUgz6hRzF3gyaZNUKAAjDRbQfP+pvc5HH6YMgXL8HKjl11Tp4hINqKeaBEREZF0dvz4caZONVtFjR07Fjc3F/VbvPMOXLwItWoR27Erw65OdR4yBEqVgjNRZxizdgwAYx4ag1ceF83ZFhHJRtQTLSIiIpLORo0aRXR0NI0bN6Zly5auKeLECZgyxTwfM4aPPnXnwAETnl++2uE8cs1IImIiqFuqLo/Xedw1dYqIZDPqiRYRERFJR/v27ePzzz8HYNy4cdhsNtcUMno0REdDo0ZcbNyGUT3N6ZEjwdsb/jn7Dx9v+RiASc0n4WZT34qISGrov5YiIiIi6Wj48OHY7XZat25N48aNXVPEvn3w2Wfm+fjxjBtv4/x5qF4dnn7anH5l+SvYLTttq7SlafmmrqlTRCQbUogWERERSSdbt25l9uzZ2Gw2xo4d67pCRowwG0G3bMmRcgGOUd0TJoCHB6w6uIqf9v6Eh5sH7zZ713V1iohkQwrRIiIiIunktddeA6Br167Url3bNUVs2wbffWeejx3LG29ATAwEBkLr1pBgJfDyMjMp+rl7nqPqHVVdU6eISDalEC0iIiKSDtasWcOSJUvw8PBg1KhRrivkapCna1e2WnfzzTfm8N13wWaDr//6mq0nt1I4b2HeDHzTdXWKiGRTWlhMRERE5DZZlsWwYcMA6NOnDxUrVnRNIb/+CosXg4cH1shRDHkeLAu6doX69eFy3GVe/+V1AF4PeJ07vO5wTZ0iItmYeqJFREREbtNPP/3Ehg0byJ8/P8OHD3dNEZYFV4M8vXuzZH8lVq4ET09InJ496bdJHL90HP8i/vRr0M81dYqIZHPqiRYRERG5DXa7nddfN727AwYMwMfHxzWFLFwIv/0G+fNjf204r7Qyp/v1A39/CLsUxjvr3wFg/MPjyeeRzzV1iohkc+qJFhEREbkNs2bN4u+//6ZIkSK88sorrinCbk+aC92/P18uL83ff0PRonA13zN81XCi4qK43/d+Otfs7Jo6RURyAPVEi4iIiNyi2NhYRowYAcCrr75K0aJFXVPIt9/C339DkSJE9R3K8Abm9BtvmCC9/dR2vtj6BQCTmk/CZrO5pk4RkRxAPdEiIiIit+jTTz/l0KFD+Pj40K+fi+YYx8aafaEBXnmFyTOKcuKEGcL94otm0bPBywZjYfFYjcdo5NfINXWKiOQQ6okWERERuQWRkZGMHj0agBEjRuDl5eWaQj77DA4ehFKlONWlP+/UMafHjoW8eWHxviUs/3c5nu6ejH9kvGtqFBHJQdQTLSIiInILpkyZwunTp6lYsSK9evVyTRFRUXA1yDN8OCMnFiAy0mxn1aULxCfEM3j5YAD63dePCkUruKZOEZEcRCFaREREJI3OnTvHhAkTABg9ejR58uRxTSFTpsCpU1ChAnsCevPpp+b0xIng5gaf//k5u87solj+Yrwe8LprahQRyWEUokVERETS6J133iEiIoI6derQpUsX1xRx7hy8Y7asYvRoXh3hid0ObdtCkyYQERPBiNVmrvRbTd6iaH4XLXomIpLDKESLiIiIpMHx48eZOnUqAGPHjsXNzUX/nHrnHYiIgNq1WVvmf8yfb3qfE3P1O+ve4XTUaaoUr8Jz9Z9zTY0iIjmQQrSIiIhIGowaNYro6GgaN25My5YtXVPE8eNwNchbY8YyZKj5J13v3lC9OhwNP8p7G98DYMIjE8jj7qLh5iIiOZBCtIiIiEgq7d27l88//xyAcePGuW6/5VGjIDoaGjfm+6hWbNoEBQrAyJGm+bVfXiM6Ppom5ZrQrmo719QoIpJDaYsrERERkVQaMWIEdrud1q1b07hxY9cUsW8fXA3ycaPGMay3CfJDhkCpUrDlxBa+2f4NAJOaT3Jd0BcRyaHUEy0iIiKSCn/++SezZ8/GZrMxduxY1xUyfDjY7dC6NR9ub8y//5rw/PLLYFkWLy19CYDHaz/OPaXvcV2dIiI5lHqiRURERFLhtddeA6Bbt27Url3bNUX8+SfMng1AxNAxjOpgTo8aBd7eMG/3fNYeWUs+j3yMeWiMa2oUEcnh1BMtIiIi8h9Wr17N0qVL8fDwYGTixGNXeP3qXs/dujFmYR3OnzcLiT31FMTaY3llxSsAvNzwZfwK+7muThGRHEw90SIiIiI3YVkWw4YNA+CZZ56hYsWKrilk9WpYsgQ8PDj+7CimNDenJ0wADw+YsvEj9p/fT8kCJRn6wFDX1CgikguoJ1pERETkJn766Sc2btxI/vz5eeONN1xThGXB1SBPnz4Mm1aRmBgIDITWreHClQuM+nUUAKOajqJg3oKuqVNEJBdQT7SIiIjIDdjtdsdc6IEDB+Lj4+OaQn76CTZuhPz52dFhON8EmdMTJ4LNBm//+jbnr5ynZomaPF33adfUKCKSS6gnWkREROQGZs2axc6dOylSpAhDhgxxTRF2O1wN8lb/AQya4INlQbducM89cOD8Aab+PhWAic0n4uGmPhIRkYykEC0iIiKSgtjYWEaMGAHAq6++StGiRV1TyKxZsHMnFCnCinqvsHIleHrCmKuLb7+68lXiEuJoXrE5QZWCXFOjiEguohAtIiIikoJPP/2UQ4cO4ePjQ79+/VxTREwMXA3yCa+8ykujTZDv1w/8/WH9kfXM3TUXN5sbE5tNdE2NIiK5jEK0iIiIyHUiIyMZPXo0ACNGjMDLy8s1hXz6KRw6BD4+fFW4H3//DUWLmp2uLMvi5WUvA9Crbi9qlazlmhpFRHIZhWgRERGR64SEhHD69GkqVqxIr169XFNEZCS8/TYAMUNH8PoYE+TfeMME6dk7Z7Pp+Ca8Pb0Z1XSUa2oUEcmFFKJFRERErnHu3DneffddAEaPHk2ePHlcU0hICJw+DRUrMuliL06cgPLl4cUXITo+mldXvArA0AeGUsq7lGtqFBHJhRSiRURERK4xfvx4IiIiqFOnDl26dHFNEefOwdUgHz54NOMmmiA/dizkzQtTNk7hcPhhyhQsw0sNX3JNjSIiuZRCtIiIiMhVx44d44MPPgBg7NixuLm56J9K48dDRATUqcNrf3UhMhLq14fOneFM1BnGrhtranx4LF55XDRfW0Qkl1KIFhEREblq1KhRREdHExAQQMuWLV1TxLFjMNXs+3z0+bF88pn559rEieDmBm+tfouImAjq+dSjR+0erqlRRCQXS1OI/uijj6hduzaFChWiUKFCNGzYkMWLFzvaAwMDsdlsTo/nnnsu3YsWERERSW979+7liy++AGDcuHHYbDbXFDJqlNnaKiCA/otbYrdD27bQpAnsPrObT/74BIBJzSfhZlN/iIhIZvNIy8W+vr6MHz+eypUrY1kWX375Je3bt2fr1q3UrFkTgD59+jBqVNIKkS7bEkJEREQkDYYPH47dbqdNmzY88MADrilizx64GuT/+t845r9ow90d3nnHNL+y4hXslp12VdsR6B/omhpFRHK5NIXotm3bOh2PGTOGjz76iI0bNzpCtJeXF6VKaYVIERERyT7+/PNP5syZg81mY8yYMa4rZPhwsNux2rTh2a9MkO/dG6pXh18O/sLCvQvxcPNgwiMTXFejiEgud8tjgOx2O9999x1RUVE0bNjQcX7mzJnccccd3HXXXQwbNozLly/f9D4xMTFEREQ4PUREREQy02uvvQZAt27dqF27tmuK+OMP+P57sNlY9uAYNm2CAgXgrbfAnmDn5WUvA/DcPc9R9Y6qrqlRRETS1hMNsGPHDho2bEh0dDTe3t7MmzePGjVqAOb/eMqVK0fp0qXZvn07Q4cOZc+ePYSGht7wfuPGjWPkyJG3/glEREREbsPq1atZunQpHh4erv03ydUgb/9fd1742AT5IUOgVCmYse1rtp3cRuG8hXkz8E3X1SgiItgsy7LS8oLY2FiOHDlCeHg4c+fOZdq0aaxZs8YRpK/1yy+/8PDDD7N//34qVqyY4v1iYmKIiYlxHEdERODn50d4eDiFChVK48cRERERST3LsmjUqBEbN27khRde4P/+7/8yv4jjx+Hbb01i9vBg+qt7ePrtCpQqBfv2gc0ziiofVOHEpRO82+xdBjcanPk1iojkcBERERQuXDhVOTTNPdGenp5UqlQJgHvuuYfNmzczZcoUPvnkk2TXNmjQAOCmITpv3rzkzZs3rWWIiIiI3LYFCxawceNG8ufPzxtvvJE5b2q3w6ZN8PPP5vHXX46mmJ7PMvjDCoBZpNvbG0atmcSJSycoX6Q8/e7rlzk1iojIDaU5RF8vISHBqSf5Wtu2bQPAx8fndt9GREREJF3Z7XZef/11AAYOHJix/165cAGWLjWhefFiOHcuqc1mgwYNoH17Rp4ZxPnzUKMGPPUUhF0KY8J6s4jY+EfGk9dDHQ8iIq6WphA9bNgwWrZsSdmyZbl06RKzZs1yzCM6cOAAs2bNolWrVhQvXpzt27czaNAgHnzwQdct0CEiIiJyAzNnzmTnzp0UKVKEIUOGpO/NLQt27kzqbf7tN9MDnahIEWjRAlq3hqAgKFGCw4fhvavrhb3zDnh4wPBVw4mKi6Khb0Meq/FY+tYoIiK3JE0h+vTp0zzxxBOEhYVRuHBhateuzdKlS2nWrBlHjx5lxYoVhISEEBUVhZ+fHx07dsy8oVEiIiIiqRQTE8Obb5oFul599VWKFi16+ze9cgV++SUpOB854txes6YJza1bQ6NGJiVf4403ICYGAgPNJX+d/Isvtpo9oyc1n4TNZrv9GkVE5LalKUR//vnnN2zz8/NjzZo1t12QiIiISEb79NNPOXToED4+PvTrdxvzjA8fTgrNv/wC0dFJbfnywUMPmUTcqhX4+6d4i+ho+PFH+OYbczxxIoDF4OWDsbDoXLMzDf0apvhaERHJfLc9J1pEREQkO4mMjGT06NEAjBgxAi8vr9S/OD4eNmwwoXnhQjNk+1p+fkm9zQ89BDe495kzsGgRLFhgpkpHRZnz3brBPffAon2LWfHvCjzdPRn/8Phb+ZgiIpJBFKJFREQkVwkJCeHMmTNUrFiRXr16/fcLzp6FJUtMcF661CwSlsjNzQzNTgzOd91lFgq7jmXBnj0mNC9YYKZIX7vJaJky8OijMHo0xCfEM3iZ2caq/339KV+0/O1+ZBERSUcK0SIiIpJrnDt3jnfffReA0aNHkydPnuQXWZbZdipxmPbGjc6Jt1gxaNnShOYWLcxxCuLjTVhODM779jm3160L7dqZR926Sdn74y3T2H12N8XzF+f1B19Pj48tIiLpSCFaREREco3x48cTERFBnTp16NKlS1JDVBSsWGFC86JFcPy48wvr1EnqbW7QANzdU7z/pUums3rBAnOr8+eT2jw9zQjvdu2gTRsz8vt6ETERjFg1AoA3m7xJkXxFbvMTi4hIelOIFhERkVzh2LFjTJ06FYCxY8fiduhQ0tzm1ashNjbpYi8vePjhpEXBUkq8Vx09Cj/9ZILzqlXOtylWzATmdu2geXMoWPDmNY5fN54zl89QpXgVnqv/3K1/WBERyTAK0SIiIpIrjHnrLRrGxPBsmTK0fPll+Ocf5wvKl0/qbQ4MNKtrp8Cy4M8/k4Zpb9vm3F65MrRvb4Jzw4bJdrK6oSPhR5i8cTIAEx6ZQB73FIaai4iIyylEi4iISM516hQsXsyl775j/NKlFIakodoeHtC4cVJwrlYtxUXBwGxDtWqVCc0//eQ82jtxbbHE+c1Vq95aqa+tfI3o+GialGtCu6rtbu0mIiKS4RSiRUREJOewLLPt1Lx5Ju1u3gxA4ijqi56eFOna1YTm5s2hcOEb3upG21ABFCgAQUHQtq0Z7V2ixK2XHBkbSejuUGbumIkNG++1eA/bDcK8iIi4nkK0iIiIZG8JCSYsz5sHoaHJlsGOqlaNSf/8wyLg002bKHL33SneJjXbUCX2Nt9ktHeqnLh0gp/2/MSCvQtY+e9KYuwxADxe53Hq+dS79RuLiEiGU4gWERGR7Cc+Hn791QTnefOcx1fnzQvNmkGHDtCqFcE9e7Lsn3/o3r07ta8L0Le6DVVaWZbFjtM7WLBnAT/u+ZEtJ7Y4tVcoWoHgasGMaDLi1t5AREQyjUK0iIiIZA/R0bB8uQnNCxbAuXNJbd7eZoh2cLDZw/nqMtirVq1i2bJleHh4MGrUKODm21DlyZO0DVXbtjddlPs/xdnj+PXwryzYs4AFexdw6OIhR5sNGw18G9CuSjvaVW1HjRI1NIRbRCSbUIgWERGRrOvSJTMxOTTU/BkZmdRWvLhZBjs42GxHdXV8td1uZ+3q1Zw4cYK3334bgK5dX2HJkgo33YaqbVszTbpQoVsv92L0RZbsX8KCPQtYtG8R4THhjrZ8HvloVqEZ7aq2o02VNpTyLnXrbyQiIi5js6xrZ/u4XkREBIULFyY8PJxCt/P/YiIiIpI9nTljuonnzTM9z9cmXl9fePRRE5wbN062f1RoaCgDBgzg2LFjQD2g3dVHXafrbnUbqpQcuniIn/b8xI97fmTN4TXEJ8Q72kp4laBtlba0q9qOZhWb4ZXH69bfSEREMkxacqh6okVERMT1jh6F+fNNj/Ovv5rFwhJVqWJCc3Aw1K9/w4nJc+eG8thjk4CXgE7AtWOx7VSvfoGnnrrjtrahAkiwEvgz7E/H/Obtp7Y7tVe/ozrtqrajfdX23FfmPtzd3G/9zUREJMtRiBYRERHX2LMnaUXtq1tROdStmxScq1e/YXBOSIANG2DOnAT+7/8aAuuvaY0ElgILgMVERubjpZcO4u6e9lAbHR/NqoOrHPObT1w64Whzs7nRuGxjx/zmysUrp/n+IiKSfShEi4iISOawLNi6NSk479qV1GazwQMPmND86KPg73/D2yQkmBW1v/8efvghcWFuN8AHiMCE5u8xATrG8bqjR2Ht2rUEBgamqtyzl8+yaN8iftzzI0v3LyUqLmmj6AJ5ChBUKYh2VdvRunJrinsVT+23ICIi2ZxCtIiIiGQcu90k3sTgfPhwUlviUtjBwWaCcsmSN7xNQgKsX58UnE8kdQSTP38sBQr8wtmzHwLLuDY4Xy8sLOym5e47t88xTHv90fUkWEnDyksXLE27Ku1oX609gf6B5PO4jY2iRUQk21KIFhERkfQVGwu//GKC8/z5cPp0UpuXFwQFmeDcujUUKXLD2yQG5zlzTHC+Nv/myxdD0aK/cvr0h1y5sogrV2JveJ9r+fj4OB3bE+xsOr7JEZz/OfuPU3udknVoX7U97aq2o55PPW1DJSIiCtEiIiKSDqKiYMkSE5wXLoTwpK2dKFLE7B8VHGz2kPK68QrVdrtzj/O1wTlv3mi8vJZz4cInREcvJyzMBOeqVavStm1bvvzyS86ePUtKG4/YbDZ8fX0JCAggKjaKFf+u4Mc9P7Jw70LOXD7juM7DzYNA/0DaV21P2yptKVek3G1/NSIikrMoRIuIiMituXABfvrJBOclSyA6OqmtVCno0MEE58BAM3T7Bux2WLcuKTifPJnU5ul5GQ+Pn7l8eQYxMSuIiYnFzc2NRo0a0a5dO9q1a0fVq0ttN2zYkE6dOmGz2ZyCtM1mwypg0WZEGzrM6cCKf1cQHZ9Ua+G8hWldpTXtqrQjqFIQhfMVTq9vSEREciDtEy0iItnX+fNm2PDOndCo0X+GNUkHYWHw449mfvOqVRCftCcy5csnrah9//3g5nbD29jtsHatCc6hoc7BOU+eSCxrPvHxs4AVQBxeXl60aNGCdu3a0bp1a0qUKJHifZ32iS4BVAXP2p7E3uk83Nu/iL9jmHZA2QDyuOvnRkQkN9M+0SIikjPFxJj9jJYvN48tW8yKz4mKFoV27ZKGDefTwk/pYu9eWLDA9Dhv2OD8nd91V1Jwrl37hltRgQnOv/6aFJxPnUpq8/CIwG7/AcuaQ1zcSiCOUqVK0bZtT9q3b89DDz1E/vz5b1qmZVn4N/Sn2xfdmLl1JsevHAcgFhOg7y19ryM433XnXZrfLCIit0Q90SIiknVZlullTgzNa9bA5cvO19SoAbVqmV7Raxew8vaGVq2gY0do2RIKFszc2rOz2FjTTbxwIfz8M+zb59zeoEHSVlSVb74ncny8c3C+9n8id/dw7Pa5mO2ofgHiqFmzJu3bt6ddu3bce++9uN2kNxtMcP4z7E++3/U9c3fN5cCFA462vO55eaTCI7Sr2o42VdpQumDptH0PIiKSa6QlhypEi4hI1hIWBitWmNC8YoXzylJgtkF65BFo1sz8WaaMOZ+4ItUPP5i0duxY0mvy5oUWLUzwa9fO9FiLs9OnYdEiE5yXLYNLl5La8uSBBx80oblDh6Tv/Abi483vOxKD85mkdbuw2c5jWfOAOcAvuLtbBAQEOOY3V6xY8T9LTQzOc3bOYe7uufx74V9HW36P/LSq3IrHajxG6yqt8fb0Ttv3ICIiuZJCtIiIZB9RUaarMrG3+e+/ndvz5zcBrlkz86hV66ZDhgHTg715s0lwP/wA+/cntXl4QNOmpoe6Q4eb7k2co1kWbNuW1Nv8++/Ow7RLljQ9+W3amO/9P3ryE4PznDlm1Pe1wRnOAfNI7HH29s5HUFAQ7du3p1WrVhQrViwV5Vr8EfYH3+/8nu93fc/Biwcdbfk98tO6Smseq/EYrSq3UnAWEZE0U4gWEZGsy26HrVtNb+fy5fDbb2b4cCKbDerVSwrNjRrd3txmyzLBPLGHescO5/dq3NgE6kcfhbJlb/19soOoKFi5Mik4nzjh3F6vngnNbdrAPfc4Fgaz2+2sXbuWsLAwfHx8CAgIwN3dnfh4WL06qcf57Nlrb3aWpOC8ijJlStKuXTvat29PYGAgefPm/c9yLctiy4ktjqHaKQXnzjU606pyKwp4FrjNL0dERHIzhWgREclaDh1K6mleudKsqn2tcuWSQvNDD8Edd2RcLXv3mq7SH34wvdXXql/fBOrgYKhSJeNqyEyHDpnA/PPPZiXzmJikNi8v8523aWN6nUsnnzPstNo1AO7ccUdn7r57DNu2+XP27LWjAs4CoZjgvJo6dZLmN9erVy9VC3klBufEodqHLh5KKjePF60rJ/U4KziLiEh6UYgWERHXunjRLPSVGJyvHU4NUKiQGVLdrJlZRbtSpf8eop0RjhwxgTo01Cykdf2q04mBOjVDyLOK+HjYuDGpt/n64fH+/km9zU2a3LSXPzQ0lE6dOmFZ7kBT4DHgUeDaX3KcITE4u7uvo2nTpPnN5cqVS1XJlmWx+cRmvt/5fYrBuU2VNjxW4zFaVmqp4CwiIhlCIVpERDJXXJwJbomh+fffISEhqd3d3ewbnNjbfN99Zm5yVnLqlNn/+IcfTI/ttfsfV6pkwnTHjnDvvVkvUJ8/D0uXmuC8ZIlzT7+7uxkSnxicq1dPVf0REXYqVHiOc+ceBNoA1y7GdprE4Ozt/Sdt2pj5zUFBQRQpUiRVJVuWxe/Hf3cM1T4cftjRViBPgaTgXLklXnm8UnVPERGRW6UQLSIiGcuy4J9/kkLz6tUQGel8TdWqSaE5MND0Pqez8HCzgPf27WYKb9Om6bST1YUL8NNPpod6yRLnIdC+vkn7IjdubEJqZrMs2L3bhOaFC828crs9qb1oUbOtV5s2ZlXyVCzcBSZ7//ST6ZxfvNhObOy1n+0USUO1fwXM+y1btoxmzZqlsmyLTcc3OXqcj4QfcbQlBufONTsTVClIwVlERDKVQrSIiKS/06edt566dgspMPOYE7eeatYM/PzSvQTLMuuCLV5sHuvXO3cY58kDDzxgcmNQENSpkw6dxpGRZuun0FAzPPraXxaUKGFW+O7Y0SR4T8/bfLObiI42y18nBudDh5zba9ZM6m2+//5U9/QfOwbz55vgvGaNhd1+7Rf2L2ZxsHnABiAh2etnzfr/9u47Pser8eP4584kSMwQiVmrqFG0tKLU3oTS2qWt2arRGr+22qdDW6VGq0Wt2qT2VoJYVWqrvYlQJEFk3ff1++NqblIrblni+3698iLXde5znXMeT+rrnOucmbzxxhv3rT8+OM89MJfAg4GcjThrv5fJNRONize2L9XO6JoxUW0WERFJagrRIiLy+G7dgk2bbu+ivWdPwvvu7uDvfzs0ly1r3805KcXPNq9YYU4Knz+f8H6xYuZ+YH/8AcePJ7yXJ4/5ynW9emYTH3u/sqgocyx++w0WLzZnrONlzQqNG5sz1HXrmkdzPa4LF26f3fz77+bu2vHc3c3g3qgRNGxovuucSIcOmaF5wYK791aDPdwOznsfWldQUBDVq1dPcM1m2Pjj3B/2pdp3BufMbplpXMwMzvWK1FNwFhGRNEEhWkREHBMeDr/+agbE4OCEy5gBypW7HZqrVk2aoPgfD5ttzpjR3MC7fn3zq3Dh2/eOHTNfDV650tzX7M7MabGYYbtePTPjvvjiY76WHRtrLmOfP99Mo6Ght+95eJi7XbdoYf6a2P+e2Wywc+ft2ea//kp4P29eMzA3agQ1a0KmxG2yFX9sdnxwPnw4wUOBLcQH5+LF3WjdujUtW7akQYMGnD9/nnv9VcFiseDn58fJkydxdnbGZtjYdm6bfan2uYjbKxXig3OrUq2o+0xdBWcREUlzFKJFROTR/P03jBljBug7k6ev7+3QXKsWeHsny+MTM9vcoIEZmqtVS9yx0dHRZgBfudIM1nv/M6nq5WV2KT5UP9bqc6sVtm69fRb1mdvv+uLmZk6HBwRAkyaQI0fCz16/bs5uL11qzjrfGcYtFnMjs/hl2uXKJXp9emwsbNxohuaFC/87pjHAWszgvJhnnslM69atad26Nc8995z9KKr43bmBBEE6/v7ceXPJ+0Je5h6Yy29//3ZXcG5SvAmvlXxNwVlERNI8hWgREXk4q9UMbWPGmCEuXsmS8NZbZrosUSJZdqJ+nNlmR124YK5MX7nS7O5/j6ouWfJ2oE5sUL8nwzBnk+fPN0P1kSO37zk7m0uwAwIgJsYMzhs2mIk3XpYsZuhu1MjsfO7ciX50ZKTZxwULzA3C7lxtDteBFZjBeTkFCmSjVatWtG7d+oFnON91TrQFvJ/3plKnSuyO2c3567fTeRa3LLeDc5G6ZHBxdBBFRERSlkK0iIjcX1gYTJoEP/4IJ06Y1ywWc5b0vffMkJcMwTk5ZpsdZbXCjh23Z6n/+CPhiVwZM5pHKNerZ34VK+bgkBgGHDx4e4b6v++VxytS5PZss7//I21Qdu2amcUXLDD7Ehl5+57F8g+GsQgzOP+Or29Oe3B+4YUX7huc/ys2Lpafl/3MslPL2Bm5k39i/rHfiw/OrUq1os4zdRScRUTkiaQQLSIidzt48PaS7fiklTWrOevcowcUKpSkj7tztnn5cvMUpuSYbTYMg4joCLwyeDnc1qtXYe1aM1SvXGnOWt+pQIHbs9Q1az7GaV3Hjt2eJnZzM//VoFEjM6U/gvPnzSOtFywwX8u+c1ydnM5gs/0GLAQ2kydPLl577TVat25NlSpVcErk5m/RcdGsO7mOBYcWsPjwYkJv3l5m7unuaZ9xVnAWEZH0QCFaRERMVqt5LNPo0WZKjFe6NLz7LrRtm+jNqRIjJWabbYaNg5cPsuHUBjac3sDG0xsJvRlK0exFaVC0AQ2LNqRagWq4u7g71AfDgAMHbs9Sb9xorryO5+ICL710+xitcuWSZVPyuxw5cntjsD/+SHjP2flvrNZ5mDPOu8mVKxctW7akVatW+Pv745zIs6zDo8JZcWwFCw8tZPnR5VyPuW6/5+nuSdPiTe3B2dHxFRERSYsUokVEnnbXrt1esn3ypHnNyQmaNjXDc/XqSbJkOyVmm602K3tC97Dh1AY2ntlI8Olgrty68sDPZHLNRK3CtWhQtAENijbAz9Pv0R/8r5s3zdeW42epjx5NeN/bO+ExWkm191r8q9XxZzgfPJjwvqvrDmJj52DOOB8je/bsBAQE0Lp1a6pXr45LIrceD7kewuLDi1l4eCFrT6wl1nb7/WyfzD40K9GMZiWaUb1gddyck/EcbBERkVSkEC0i8rQ6cMBcsj1t2u0l29mywdtvm0u2CxR47Eck92xzrDWWnSE77aF505lNRERHJCjj4erBS/le4pUCr1CtQDWezfkswWeCWX50OcuPLifkRkiC8mVyl6FBkQY0LNaQyn6VcXFy/GyrEyfMGepVq8zJ/Rs3Et6vUOH2LHXlyuDqmvi64+LMk8Xid9Q+e/t4ZZycrLi5bSIqahawCLiIl5cXzZs3p3Xr1tSsWRPXRD7s6JWjLDi0gIWHFrLt3DYMbv9VoHiO4jQv0ZxmJZpRybcSTpYUmGYXERFJZQrRIiJPE6vV3Flq9GhYt+729eeeMzcKa9PGPLfYQck92xwVF8X289vZeHojG05vYMvZLUTGRiYo4+nuSdX8Ve2huYJPBVyd7x0YDcNg98XdLD+6nGVHl90VErNlyEbdInVpUKQB9YrUI1emXI/W4DvExJgnW8XPUu/enfC+p6f5DnX8+9QFCoDVaiU4OJiQkBB8fHyoWNGfdeuc7a9KX7ljkt3VNQZX17VERk4HlgHhZMmShaZNm9KqVSvq1KmDu/vDl1UbhsHOkJ0s+HsBCw8v5ODlhNPaL/i+YA/OJXKWcHg8REREnlQK0SIiT4OrV2HiRBg7Fk6dMq85OUGzZmZ4rlbN4SXbyTnbfDPmJtvObWPDafOd5j/O/UG0NTpBmewZs1OtQDWq5a/GKwVfoWzusjg7Je693v/6J/IfVh1bxfJjy1l5bCVXb90+28qChRd8X7C/S13ep/xjzbxevGgeMRU/U33lP6vOfX0jCA+fy40bvwHZgeZYLPUxjNvvpWfMGImLywquX58KrAGi8PDwoHHjxrRu3Zp69eqRMePDz1yOtcay8fRGFh5ayMLDCxOc4ezi5EKNgjVoVqIZTYs3xdfT1+E+i4iIpAcK0SIi6dm+feaS7enT4dYt81r27OaS7e7dHV6yHX9s9A8/mBPaSTXbHBEdweYzm+2bgP154U/ibHEJyuTOlJtqBarxSoFXeKXgK5TMVTJZlhFbbVb+OP+HfZZ698XdCe7nyZyH+kXq06BoA2oXrv1YO35brfDXX2aYXrkStm61YbPdr09nyJTpd27enAYEA1YyZMhAw4YNad26NQ0aNCBTIjaAuxlzk1XHV7Hw0EKWHlnKtajbB0Vncs1E/aL1aVa8GQ2LNSRrhqwO901ERCS9UYgWEUlvrFZYvNgMz0FBt6+XLWtuFNamjZl0HRAeDpMnm1XHHxsNjs82X711leDTwfbl2bsu7sJm2BKU8fP0MwPzv8uzi+Uolugzi5PS+YjzrDi2guVHl7PmxBpuxNx+wdnFyYWq+ava36V+NuezDrfRarWSP38ZLlwoAdQDagKRmO82LwB2AuDq6kr9+vVp3bo1jRs3JkuWLA+t+5/If1hyeAkLDy9k9fHVRMVF2e/l8shFk+JNaFaiGTUL1SSjq2N/RkRERNI7hWgRkfTi6lX45Rdzyfbp0+Y1Z2do3twMz/7+Di/ZPnLEDM5TptzeHCtrVnNC++23oWjRxNUTeiOUjac32kPzvkv77ipTOFthe2B+pcArFMxaMFVC84NEx0Wz6cwmlh1dxvKjyzl85XCC+wW8CtCwaEMaFG1AjUI18HBN/Hvm69evp0aNGg8tt2TJEho1avTQcqfCTpnLtA8tJPhMcIJ/pCiUtZD9/eaX8r3k8DJ4ERGRp8mj5FDHtycVEZHks3evmXBnzLi9ZDtHjttLtvPnd6ham818Z3f0aPN953glS5qvUbdr9/Bjo89FnDMD87+7Zx/659BdZUrkLGEPzdUKVHusI6ZSiruLOzUL16Rm4ZqMqDuC41ePm7t9H1tO0MkgToefZuyOsYzdMZYMLhmoUbCG/V3qQtkKPbDu9evXJ6oN169fv+d1wzDYd2mffWOw/y5DL5ennD04P+f9XJr7BwoREZH0RDPRIiJpRVycuWR79GjzYOJ45cqZs85vvOHwku0bN2DqVDOXH/53gtVigUaNzPBcs+a9J7QNw+Bk2En7LPPG0xs5ce3EXeXK5C5j3wTMP78/uTPndqidadXNmJsEnQpi2ZFlLDu6jLMRZxPcL5GzhH2Wumr+qrg5u2EYBitXrmTo0KEEBwcn6jlBQUFUr14dMN/f3nJ2i31jsDvH3cnihH9+f/sZzgWzFkyqroqIiDyVtJxbRORJcuXK7SXbZ86Y15ydISDATLgvv+zwku0TJ8yNwiZOhIh/j1r29ITOnaFnTyhS5O7PnAo7xerjq+3B+c5dncEMcOXzlLfPNPsX8Cd7xuwOte9JZBgGBy4fsG9OtvnMZqyG1X4/i1sWnnV/lpCNIZxdexZumO86u7m5ERkZyb3+s2uxWPDz8+Pvo38TdDqIhYcWsvjwYi5HXraXyeCSgTrP1KFZ8WY0Lt6YnB45U6S/IiIiTwOFaBGRJ8GePbeXbEf9uxlUjhzQtSt06wb58jlUrWGYe4+NGmWeOxz/U75oUTOTd+wI/92v6tqta8w9MJdpe6ex+ezmBPdcnFyolLeSPTS/nP9lPN318zleWFQYa46vMTf3OrCQ67aES7K9rd68UfENcofnZnCnwVgMS8IgnQEoBlU6VWHvrb3cjL1pv5U1Q1YaF2tMsxLNqPtMXTK5PXyHbhEREXl0eidaRCStiouDhQvN8Lxx4+3r5cubCff11x/t0OU7REaaeXz0aNi///b1unWhd2/zV6c7TliKjotm+dHlTN83naVHlhJjjQHACSeKZSxGpVyVaOffjpfzv6zw9gCuVlcu/H6BoO+CuH7+OvhAhjIZyF45Oxe4wCXnS4zaNQqALJ9lwXrYSuSeSDM8lwAKAU6wNWIrYO5c3qy4uUy7WoFquDq7plrfRERE5G4K0SIiKeGff2DCBPjpJzj77/u0zs7QooUZnl96yeEl22fOmCvBJ0wwN/MGc3OwTp2gVy8oUeJ2WcMw2HpuK9P2TGPuwblcvXXVfq9AhgKEbQgjfFM4h64f4hCHCPILYtSoUQQEBDjY8fTr2rVr/Pjjj4wcOZIrV64A4OPjQ/9+/XnnnXfInDkzoTdCWXV8FcuOLmPVsVWER4dDEcyvO5TMVdK+MVgFnwraGExERCQN03JuEZHkdPw4fPWVOUUcHW1ey5UL3nnHXLLt59iu1YYBmzaZS7YXLDB33QYoVMjcg+zNN83jquIdu3qM6XunM33vdI5fO26/njdLXtqUboPPZR/6t+9/1/u68WEuMDBQQfpfFy9e5Pvvv+enn36y76b9zDPPMGDAADp06IC7u/s9Pxdni2PL2S0sP7qc1cdX4+HqYT/DuViOYinZBREREfkPvRMtIpLawsLgiy/MtdWxsea15583Z51bt3Z4yXZUFMyebVa7a9ft66++ai7ZbtjQnOAGuBJ5xf6e89ZzW+1lM7lmokXJFrQv054aBWuAAQULFuTcuXPcS/ymVydPnsTZ+ek9c/jkyZMMGzaMSZMmEf3vP4g899xzDBo0iNdeew0XFy3uEhEReVLpnWgRkdQSGwvjxsGnn5q7bgPUqQNDhkCVKg4v2b5wwVwJPm4cXP53w+aMGc1znd97D0qXNq9Fx0Wz8OBSpu2dxvKjy4m1mQHeyeJE7cK1aV+mPc1KNEvwjvP69evvG6DBXAJ+9uxZgoOD7ccvPU0OHDjA119/zaxZs7BazV24q1SpwuDBg2nYsKGWXouIiDxlFKJFRJKCYZhbYX/44e2DmEuVgu++g3r1HK522zZz1nnePHNPMjA37e7VC7p0MTfzNgyDTWc2299zDosKs3++XJ5ytC/TnjdKv4FPFp+76j969CgTJ05MVFsWLFhAqVKlyJUrl8P9eZJs376doUOHsnDhQvu1unXrMmjQIKpVq6bwLCIi8pTScm4Rkce1axf062eeKwXmO8+ff26mXAeW+MbEmKF59GjYvv32dX9/c8l206ZmtUevHGXa3mlM3zudk2En7eV8s/jS9rm2tC/bntLepRPUHRcXx+bNm1m6dClLlizhcHzgfwRly5alZs2a1KxZk2rVqpE5c+ZHriOtMgyDdevW8dVXX7Fu3TrAXM4eEBDAoEGDqFChQiq3UERERJKD3okWEUkJFy7ARx/BlCnmTLS7O/TtCwMHggM/v0JDzeXaP/0EFy+a19zcoE0bc8l2+fLwT+Q/zN4/m+l7p/PH+T/sn83slpmWJVvSvkx7XinwCs5Ot99dvnbtGitXrmTJkiWsWLGCsLAw+z0XFxeqVavGzp07iYiIuGtjMXv9mTNTsGBB9t95dta/n3/xxRftobpy5cq4ubk9ct9Tm81mY/HixXz11Vf8+eefgNm3du3aMWDAAErcucW5iIiIpDsK0SIiyenmTXOZ9rffmoczA7zxBgwdCgUKPHJ1f/1l7rI9e7Y5Cw3g4wM9epibeHtmj2LJ4SVM2zuNFcdWEGcz13U7W5yp80wd2pdpT9MSTfFw9bDXeeTIEZYsWcKSJUvYtGmT/V1egBw5ctCgQQMaNWpE3bp18fLyYv78+bRs2RIgQZD+7+7coaGhBAUFsXbtWtauXcvJk7dnwAE8PDzw9/e3h+py5crhdOfh1GlMbGwss2fP5uuvv+bgwYMAZMiQgbfffpv+/fuTP3/+VG6hiIiIpASFaBGR5GCzwa+/wv/9nzkLDeb5ziNGwIsvPlJVsbHm0VSjR8PmzbevV65sLtlu1tzG9oubmLZnGvMOzjPPF/5XBZ8KtCvTjjdKv0HuzLn/rS+WzZs324Pz0aNHEzyvZMmSNG7cmMaNG1O5cuV77rI9f/58evfunWCTsXz58jFy5Mj7Hm918uRJe6Bet24dly5dSnA/e/bsVK9e3R6qixUrlibeJb516xaTJ09m2LBhnDp1CgBPT0969epF79698fb2Tt0GioiISIpSiBYRSWpBQeZ7z/HnShUqBN98Ay1bPtKO2//8AxMmwNixEJ9VXV2hVStzybZX4cP295xPh5+2fy6fZz7alWlHuzLtKJmrJABXr15lxYoVLF26lJUrVyZYpu3q6kr16tVp1KgRjRo1onDhwolqn9VqJTg4mJCQEHx8fPD390/0sVaGYbB//357qN6wYYP9HOV4fn5+vPrqq/ZQ7evrm6i6k0pERAQ///wzI0aMIDQ0FIBcuXLRt29funfvjpeXV4q2R0RERNIGhWgRkaRy5Ii54/aiReb3np7w8cfw7rvmO9CJtHevOes8Y4Z51jOAtzd06wYtO14i6PJspu2dxo4LO+yf8XT3pOWzLWlftj3VClTDgoXDhw+zZMkSli5dyubNmxMs086ZMycNGzakUaNG1KlTJ9V/hsbFxfHnn3/aQ/WWLVuIiV+v/q/ixYvbA3WNGjXIli1bsrTl8uXLjB49mh9++MH+jw358+fngw8+oHPnznh4eDy4AhEREUnXFKJFRB7XlSvwv/+ZU8ZxceDsbCbeIUPM3bcTaeNG8yPr19++9vzz0P3dW2Qot5jZB6ex8thKrIYZhp0tztQrUo/2ZdrTpHgTXHAhODjYHpyPHTuWoP7SpUvTuHFjGjVqxIsvvpjoWePUEBkZyZYtW+yheufOndhsNvt9i8XC888/bw/VVatWfWi4fdjM+dmzZxk+fDjjx4/n1q1bAJQoUYKBAwfSpk0bXF1dk6ezIiIi8kRRiBYRcVRMDPz4oxmg45dHN2pkbiL27LOJrua/E9jOzhDQwka19hv5yzqN3/4OJCI6wl6+Ut5KtC/TntalW+Mc5cyKFStYsmQJK1euJCLidjk3Nzdq1KhhX6ZdsGDBJOh06rh27RobNmywh+q///47wX03NzeqVKliD9WVKlVKEHrv9Q63n58fo0aNonTp0nzzzTdMmzaN2NhYACpWrMjgwYNp2rRpmt7sTERERFKeQrSIyKMyDJg/HwYMgOPHzWtlysDw4VCrVqKruXzZzN8//xw/gW1QrcUGXCr8wF7bJkKjQ+1lC3gVoF2ZdrR9ri3GZcN+dvOWLVsSzNB6e3vbl2nXrl2bLFmyJFm305ILFy6wbt06e6g+e/ZsgvuZM2fmlVdeoWbNmhiGQf/+/e86kstisdx1rUaNGgwaNIhatWqliU3NREREJO1RiBYReRR//mme77xpk/l9njzw5ZfQsaM5hZwIUVHmMVVffQUREYDFRpH6Mznt+y6xvmH2cpZoCzXz1GRgg4FYT1pZtnQZS5cu5cSJEwnqK1OmjH037UqVKj11M6eGYXDs2DF7oA4KCuLKlSuPVEfjxo0ZPHgwlStXTqZWioiISHqRbCH6p59+4qeffrIfB1KqVCk++eQT6tevD0BUVBT9+vVj9uzZREdHU7duXcaOHUvu3LmTpfEiIo/l7FkYPBimTze/z5gR+vc312FnzpyoKmw2mDXLrObMGcA5mvyNZnCr/Odc5tS/hYCjwB7gCBBnnkUcFb/DGODu7s6rr75qX6at84kTstls7Nmzh7Vr1zJv3jy2b9/+0M8EBQVRvXr15G+ciIiIPPEeJYe6PErFfn5+fP311xQtWhTDMJg6dSpNmzZl165dlCpVij59+rBs2TLmzZuHl5cXvXr1IiAggM13HoIqIpLarl83j6caPvz2VtkdOpizz35+ia5mwwYzc+/YAWS8glejn+HFMZyx/rtkOxrYAfwBRCT8bFRUFN7e3vbZ5po1a5I5kcH9aeTk5ET58uUpX748vr6+tGnT5qGfCQkJSYGWiYiIyNPmkUJ048aNE3z/5Zdf8tNPP7Ft2zb8/PyYOHEiM2fO5NVXXwVg8uTJPPvss2zbtk3L6UQk9VmtMGmSeUTVv2cE88orZpiuUCHR1Rw+bL46vWgRkO04rk1HQvlJhBMJVsjllovLSy7DX5hB+j5mzZpl/3kpiefj45Ok5UREREQexSOF6DtZrVbmzZvHzZs3qVKlCjt37iQ2NpZad2zAU6JECfLnz8/WrVvvG6Kjo6OJjr79t8w7d6EVEUkya9ZAv36wb5/5fZEiMGwYNG0Kidxs6vJl+Owzc9Mwq882aP0dlhILiLWYm4CV8S5DxZiKrB6xGs48vL7Q0NCHF5K7+Pv74+fnx/nz5+/aRAzMzcX8/Pzw9/dPhdaJiIhIevfIIXrfvn1UqVKFqKgoMmfOzIIFCyhZsiS7d+/Gzc2NrFmzJiifO3duLl68eN/6hg4dymefffbIDRcRSZSDB+GDD2D5cvP7bNnMg5u7dwc3t0RVcesWjB4NXw61ct1nMXQcDvnN11QM4JW8r5DzSE7WfL+GveF7E900zZQ6xtnZmVGjRtGyZcu7duOO33175MiRafrMbBEREXlyPfJ2r8WLF2f37t388ccfdO/enY4dO3Lw4EGHGzBo0CDCw8PtX/890kRExCGXLkGPHuYxVcuXg4sLvP8+HDsGvXsnKkDbbDBjBhQrFcnAwJ+43qEEvB4A+Tfj5uxG7Zy1qbq3Khve2cBv3/1GRHgEzzzzDN999x158+a973FKFouFfPnyaab0MQQEBBAYGIivr2+C635+fgQGBhIQEJBKLRMREZH07pFnot3c3ChSpAgAFSpU4M8//2TUqFG0bt2amJgYwsLCEsxGh4aGkidPnvvW5+7ujru7+6O3XETkXu46awpo3tzcSKxo0URXs2EDvDcolL0ZfoTXxoKHebxSVvesVDQqcnTmUdbsX2Mv36BBA3r16kXdunVxcnKiUKFCmilNZgEBATRt2pTg4GBCQkLw8fHB399f4yoiIiLJyuF3ouPZbDaio6OpUKECrq6urF27lhYtWgBw+PBhzpw5Q5UqVR67oSIiD2QYMGcODBwIp0+b155/HkaMMDcPS6TDh6H7x4cIihoBNX8FF3PPhrwZfSl4sQC7Ju3i9/DfAfDy8qJz58706NHD/o+L8eJnSnv37s25c+fs1/38/Bg5cqRmSpOIs7OzjrESERGRFPVIIXrQoEHUr1+f/Pnzc/36dWbOnMn69etZtWoVXl5edOnShb59+5I9e3Y8PT159913qVKlinbmFpHktXUr9O0L27aZ3/v6wtCh0LYtOCXurZVLlwy6Dt3IwkvDodQS+/VCrsXI8Jczf8//mwvGeQBKly7Nu+++S9u2bcmUKdN969RMqYiIiEj680gh+tKlS3To0IGQkBC8vLwoU6YMq1atonbt2gB8//33ODk50aJFC6Kjo6lbty5jx45NloaLiHDyJAwaZM5AA2TKZJ491a8feHgkqorrN+PoOvI35pz7DlueHZAVMCwUjn2OiJUXOPnXEcCc8WzevDm9evWiWrVq933f+b80UyoiIiKSvliMe50PkooiIiLw8vIiPDwcT0/P1G6OiKRF4eHmO88jR0JMjHlEVefO8PnnkMgdr8NvXafnxInMPjUSaxZz+bclLgN5L5chdOFfxIXGAeDt7c0777xD165d8fPzS64eiYiIiEgqepQc+tjvRIuIJCvDMHfaPn0aTp2Cv/+GH36Af/4x79esCcOHQ9myiarufMR5Pggcw9wTP2N1DYcsYInMideRkoSt3sj5yO0AVK5cmV69etGyZUttfigiIiIidgrRIpK6DANCQ82AfOdXfGg+fdo8qPm/SpSA776DBg3MmeiH2Bu6l09WDmfxiVkYTrHgClwpituOEsT8uZqwuI24u7vzesfX6dWrFxUrVkzSboqIiIhI+qAQLSLJy2aDixfvDsd3fh8d/eA6LBZzs7ACBaBgQXO37U6dwNX1gR8zDIPfT/zOVxu+Y/3Z1eZFJ+B0VdhSEo78RoyxhHz58tGjRw+6dOlCrly5HrPDIiIiIpKeKUSLyOOxWiEk5P4B+fRp873lB3FyMkNywYIJv+JDc7584OaW6CbFWGOYvX82320ezr7Le82LNic42BK2VoDzE4FN1KxZk169etGoUSNcXPTjUEREREQeTn9rFJEHs1rh/Pl7B+RTp+DMGYiNfXAdzs7g53fvgFywoHnvIbPKiREWFcb4neMZ9ccoLly/YF6MyQR/dYFtr0LY92TK9D869uhIz54LKFmy5GM/U0RERESeLgrRIk+7uDgzJN8rIJ86BWfPmmUexMXFnC2+V0AuWNCcZU6CmV6r1XrPM5dPh51m5LaR/LLrF27E3DALX/eBP96DHQ0h6muKFh3Au//rSYcOi/Dy8nrstoiIiIjI00khWuRpNnEixnvvYom8x8Zdd3J1hfz57x2QCxaEvHnN2eZkNH/+fHr37s25c+fs17zLeVO0Y1G2RWzDaljNi6GlYUt/2N8ArCNo0OAzevd+h1q1puHk5JSsbRQRERGR9E/nRIs8pYwVKxj6dUO+rGoQ4wxuhgU3nHGzuODm7IabSwbc3DLilsED9wyZcHN2N6/f48v9AffcnN1wd3m8zy5bvIzXW70OBmABigIvAQXv6NDxmrDlAzj+Ku7uU3jrrQv069eBQoUKpcbwioiIiMgTROdEi8gDxe3dTc8JTRn/6u1/Q4vDIJI4IA6IgrgI87eRqdXK/xgCWAEb5vFUAFYn2N8Ktg6Ai+Xw9AxiwJeLeP/9tnh4eKReW0VEREQk3VKIFnnKRJ47yeujXmJJ2VgsBoyu8z0Bz7UiOi6aGGvMA7+irQ8vE2ONuV2XLRFlHvBlX6Idz/nfryhX2NkZ/vgIIvyAHbz77m+MGhWAJRFnRouIiIiIOEohWuQp8s+VszQaXoY/8t8iQ5yFmY2n0PyFDqndrLvYbOapWcdPWpkxayPjJy4FZ19w9gGXfHC9AsRlBE4DbYFZVKkyQwFaRERERJKdQrTIU+LE1ePUG1Geo1lvkC3KwpJGM3j5hTdSpS13Hi19r6/bp2Y5AzX+/bpTOPApMBqIAsDHxyclmi4iIiIiTzmFaJGnwF8hf9FgXDVC3W6SPxxW1pzEsy8nX4C2WuHChfuH5LNnE3e0dO7cUYSF7SYy8m/g1B1fu4EIACwWC35+fvj7+ydHV0REREREElCIFknnVh9fTYsZTblhiaLsRVhe/jvyNuz0WHVarXcfLX3n8dJnziTuaOn8+e99YlaePFGMH/8p338/DJvNZt8p0WKxcOeBAvHLt0eOHIlzMh+xJSIiIiICCtEi6dqve36ly6LOxBlWap6A+bnfw/Odfg/9XFxcwpAcH47vnElObEj+b0B+2NHSW7ZsoXHjNzly5AgA7dq1Y+TIkWzYsOGuc6L9/PwYOXIkAQEBDx8MEREREZEkoHOiRdIhwzD4etPXDF43GIC2e2GS0QS3wAXg5GQvFxUFCxbAkSN3h2Sr9Z5V27m6Pjgk+/jcOyTfT2RkJB999BEjR47EMAx8fHwYN24cjRs3tpexWq0EBwcTEhKCj48P/v7+moEWERERkcemc6JFnmJWm5X3VrzH2B1jAfhwEwy9Wh6njTPvCtANGkBQ0L3rcXW991Lr20uuHy0kP0hwcDCdO3fm2LFjAHTq1IkRI0aQLVu2BOWcnZ2pXr160jxURERERMQBCtEi6cit2Fu0md+GhYcWYjFg5Ep472xe2L4EMmWyl7NaoV07M0BnzgxvvJEwIBcoYM4k35G5k8XNmzcZNGgQP/zwA4Zh4Ovry4QJE6hfv37yPlhERERExEEK0SLpxJXIKzSZ3YQtZ7fgbjgzfZ6Vlqc8IHgJ+PrayxkG9OwJv/0Gbm6waBG8+mrKt3f9+vV06dKFEydOAPDWW2/x3Xff4eXllfKNERERERFJJIVokXTgdNhp6s2ox6F/DpHVkpFFk29R7YwFFsyE559PUPbTT2HcOLBYYMaMlA/Q169fZ8CAAfz0008A5MuXjwkTJlC3bt2UbYiIiIiIiAMUokWecLsv7qbBjAaE3AjBzzUnK0dfoVQoMOxbaNo0Qdkff4T//c/8/dix0LJlyrZ17dq1dOnShdOnTwPQtWtXvv32W20iKCIiIiJPjGR+41FEktPaE2upNrkaITdCeM6zKFvHRFIq1IAuXaBfwqOs5syBd981f//ZZ9CtW8q1MyIigq5du1KrVi1Onz5NwYIF+f333/n5558VoEVERETkiaIQLfKEmrF3BvVn1Od6zHWq532J4B8i8bsYCTVqmNPMFou97Jo10L797fehP/445dq5atUqSpcuzfjx4wHo2bMn+/bto2bNminXCBERERGRJKIQLfKEMQyDbzd/S7sF7Yi1xdK6REtWTorB68R5KFbs9o5h//rzT2jeHGJjoXVrGD06Qb5ONmFhYXTp0oV69epx9uxZChcuTFBQED/88AOZM2dO/gaIiIiIiCQDhWiRJ4jVZuX9le8z4PcBAPSt3IeZv4H7th2QPTssWwZ3nK18+LB5FvTNm1CrFkydmvzHVgEsX76c0qVLM2nSJCwWC++99x579+7VGc8iIiIi8sTTxmIiT4iouCjaL2hP4MFAAIbXGU7fZVdhXiC4usKCBVCkiL38+fNQty788w9UrAjz54O7e/K28dq1a/Tp04epU6cCULRoUSZNmkTVqlWT98EiIiIiIilEIVrkCXDt1jWazm5K8Jlg3JzdmNpsKq//FQNf/rt52IQJUK2avfzVq2aAPn3aXOG9fDlkyZK8bVy8eDHdunUjJCQEi8VCnz59+Pzzz/Hw8EjeB4uIiIiIpCCFaJE07mz4WerNqMfBywfxdPdkYeuF1DjnAm/9uzHXoEHQsaO9fGQkNG4MBw5A3rywahXkypV87bty5Qq9e/dmxowZABQvXpxJkybx0ksvJd9DRURERERSid6JFknD9oXuo8rEKhy8fBDfLL5senMTNaz5bu8U1rIlfPGFvXxsLLRqBVu2QNasZoAuWDD52jd//nxKlSrFjBkzcHJy4sMPP2TXrl0K0CIiIiKSbmkmWiSNCjoZRLM5zYiIjqBkrpKsbLuSfLbM0KgKXLlivuh8x05hhgFvv23uLZYhAyxdCqVLJ0/bLl++zLvvvsucOXMAKFmyJJMmTeLFF19MngeKiIiIiKQRmokWSYPm7J9DvRn1iIiOwD+/P5ve3EQ+jzzw2mvmltt+frB4MdzxvvGAAWamdnaGefPg5ZeTp23z5s2jVKlSzJkzB2dnZwYPHsxff/2lAC0iIiIiTwXNRIukMSO2jqDfanPDsJYlWzKt+TQyOLtDt26wdi1kymROM/v42D8zbJj5BTBxIjRqlPTtunTpEj179iQw0NwdvHTp0kyZMoUKFSok/cNERERERNIozUSLpBE2w0bfVX3tAfq9F95jdovZZHDJAN9/D+PHg8UCs2ZB2bL2z02dCh9+aP5+2LAEe4wlCcMwmDVrFiVLliQwMBAXFxc+/vhjdu7cqQAtIiIiIk8dzUSLpAHRcdF0XNiROQfMd4y/rfUt/V/qj8ViMZdt9+9vFhw+3Nx6+19Ll0KXLubv+/e/XSypXLx4ke7du7Nw4UIAypYty+TJkylfvnzSPkhERERE5AmhEC2SRKxWK8HBwYSEhODj44O/vz/Ozs4P/VxYVBjN5zRn/an1uDq5MqXZFNo818a8uXs3tGlj7hrWtSu8/779c5s3m69IW63m7PM33yRdXwzDYMaMGbz33ntcu3bNPvs8cOBA3Nzcku5BIiIiIiJPGIVokSQwf/58evfuzblz5+zX/Pz8GDVqFAEBAff93PmI89SfUZ99l/aRxS0LC1ovoGbhf89/vnDBfLn55k2oXRvGjDGXcwP795u3oqLMXydMsG/SnWj3C/0XLlyga9euLF26FIDnn3+eyZMnU6ZMmUd7gIiIiIhIOmQxDMNI7UbcKSIiAi8vL8LDw/H09Ezt5og81Pz582nZsiX//b+S5d/AGxgYeM8gfeDSAerPqM/ZiLPkyZyHFW1XUC5POfNmZCRUqwY7d8Kzz94++Bk4fRpeesnM2C+/DKtXJ9ikO9Ftvlfob9q0KTNmzCAsLAw3NzeGDBnCBx98gKur66M9QERERETkCfIoOVQhWuQxWK1WChYsmCCM3sliseDn58fJkycTLO0OPh1Mk9lNCIsKo0TOEqxou4KCWQuaN202c532/PmQIwds3w6FCwNw+TJUrQpHjphnQG/cCNmyPVqb7xf671SpUiUmT55MqVKlHq1yEREREZEnkEK0SApZv349NWrUeGi5F198EW9vb1xcXAjJFsJ2v+3YnGzkispF3St18bB44OLigrOzM023baPmn38S5+zM5LZtOV+oEC4uLsTFZWTixDacO+dD9uwR9O07n5w5o+2fe9Cv8b+3WCy0atWKS5cu3betXl5ehIaG4u7unpRDJSIiIiKSZj1KDtU70SKPISQkJFHl/vjjD/M3LwBlAAvwN1z+7TLT46bby3UCasb/3mplxq+//vudG7AU8AEuc/VqVT766Mjjd+AewsPD2bp1K9WrV0+W+kVEREREnmQK0SKPwcfHJ1HlPvjwA/Z672XVjVUAVHWrStNKTbE9b8NqtRIXF4fvsWN0mD4dbDZ+r1yZXJUr867VSkyMlTVrOnHiRCVcXG5Rq9ZovLzKY7WWIS4uzv75h/0aFxfHtWvXuHjx4kPbm9h/HBARERERedooRIs8hqpVq5IpUyZu3rx5z/sWiwXf/L6cf+E8q/abAfqrV79iYNWB9o3HADh6FCpXNt+HbtWKWrNmUcvJCcOAd9+FEyfA1RWWL89IrVqfO9zexC4/T+w/DoiIiIiIPG0e8VAcEYlnGAb9+/d/YIA23Ayy9crGzP0zcXFyYWqzqQzyH5QwQF+9Cg0bmr+++CJMmWI/r+qLL+DHH82TraZPh1q1Hq/N/v7++Pn5JXz+f9qcL18+/P39H+9BIiIiIiLplEK0iAMMw2Dw4MGMGjUKgJ49e+Ln55egjE8xHwp+VpB9N/eR2S0zy9oso0PZDgkriomBFi3Mmej8+WHRIsiYEYCff4ZPPjGLjRkDrVo9frudnZ3tbf5vkI7/fuTIkQl2EhcRERERkdsUokUc8Pnnn/P1118DMHbsWH744QdOnTpFUFAQM2fOZOqyqbh2c+VU1ClyZ8rNhk4bqPNMnYSVGAZ07w7r10OWLLB0KeTODUBgIPToYRb75BPo2TPp2h4QEEBgYCC+vr4Jrvv5+d33TGsRERERETHpiCuRRzRs2DA+/PBDAEaMGEGfPn0S3N98ZjNNZjfh6q2rFMtRjJVtV1IoW6F7VQQffmgu3V66FOrXB2DdOvO3MTHQtSv89JO5nDupWa1WgoODCQkJwcfHB39/f81Ai4iIiMhTSUdciSSTMWPG2AP0l19+eVeAnv/3fNrOb0tUXBSV/Sqz5I0l5PTIeXdFCxfCgAHm70eOtAfov/6Cpk1vr/KOfx86OTg7O+sYKxERERGRR6Tl3CKJNGHCBN577z0APvroIwYPHmy/FxEdwduL36bF3BZExUXRuFhj1nZYe+8A/ddf0LatuZy7Rw/o1QswX4uuVw9u3IBXX4UZM0ATwyIiIiIiaYtmokUSYfr06XTt2hWAfv368b///c9+b83xNXRZ3IWzEWcB6FO5D9/W/hYXp3v83+v8eWjcGCIjoW5dGDUKLBYuXIA6deDyZXj+eViwANzdU6RrIiIiIiLyCBSiRR5i3rx5dOzYEcMw6NmzJ8OGDcNisXA9+jofrPmAcTvHAVA4W2EmNZnEKwVfuXdFN26YAfrCBShZEubMARcXwsLMGehTp6BIEVi+HLQdgIiIiIhI2qQQLfIAixcvpk2bNthsNrp06cLo0aOxWCysPbGWLou7cDr8NAC9KvXi61pfk8kt070rslqhXTvYtQty5TI3EvPy4tYtaNIE9u2DPHlg9Wr7Bt0iIiIiIpIGKUSL3MeqVat47bXXiIuLo02bNowbN47IuEgGrBnA2B1jASiYtSCTmkyiRqEaD65s4EDzDGh3d/PXQoWIi4PXX4fgYPDyglWroNA9NvEWEREREZG0QyFa5B7Wr19Ps2bNiImJoUWLFkydOpVNZzfx5qI3ORl2EoDuFbvzbe1vyeyW+cGV/fILfPed+fvJk6FKFQzDPL5q8WLIkAGWLIEyZZK5UyIiIiIi8tgUokX+Y8uWLTRq1IioqCgaNWrEhCkT6LumL2O2jwEgv1d+JjaZSK3CtR5e2bp10L27+ftPP4U33gBg8GCYNMk8InrOHPD3T6bOiIiIiIhIklKIFrnDjh07qF+/Pjdv3qR27dr0HtGbSpMqcfzacQDeef4dhtUZhqd7Inb+OnzYPOw5Ls4Mz598AsD338PXX5tFJkww34kWEREREZEng0K0yL/27t1LnTp1iIiI4OXqL1PsvWLUmVkHA4N8nvn4pckv1HmmTuIqu3IFGjaEsDCoUsWcdrZYmD4d+vY1iwwdCp07J1t3REREREQkGShEiwB///03tWrV4tq1a5SqV4qL9S7y484fAehSvgvD6wzHK4NX4iqLjoaAADh+HAoWhIULIUMGVqyAN980i/TpAwMGJEtXREREREQkGSlEy1Pv2LFj1KxZk8vXLuPd3puDzxzECDPwzeLLhMYTqF+0fuIri98xbONG87DnpUvB25utW2+v7G7XztxnzGJJvj6JiIiIiEjyUIiWp9rp06epWbMmIc4huPV241KWSwB0KteJ7+t+T9YMWR+twq+/hqlTwdkZ5s6FUqU4cMBc2X3rFtSvf3tDMRERERERefIoRMtT6/z581SvVZ0zxc9AFYhxisEnsw8TGk+gYbGGj1aZYZgBevBg8/vRo6FuXc6cgbp14do1qFwZ5s0DV9ek74uIiIiIiKQMhWh5KoWGhvLSay9xpu4ZyGVea1+mPaPqjSJbxmyPVplhwMCB8O235vcffww9evDPP2aAPn8enn3WXNmdKVPS9kNERERERFKWQrQ8dS5cukC598txufZlcIJcGXPxS9NfaFLcgbOmrFbo0QPGjze//+476NePGzfMJdyHDkG+fLBqFeTIkbT9EBERERGRlKcQLU+VoMNBNBjfgKgSUQA0LtiYya9NJoeHAwk3JgY6dIA5c8yXnMePhy5diImBli1h+3bInt0M0PnyJXFHREREREQkVWh7I3kqRMdF88HKD3h15qtEeUZhibQw+qXRLO642LEAHRkJzZqZAdrV1fy1SxdsNujUyQzOHh6wfLm5lFtERERERNIHzURLuvdXyF+0n9+eg/8cBCdwPezK6vdXU/2F6o5VGB4OjRrBpk2QMSMsWAB162KzQe/eMGsWuLjA/Pnw4otJ2hUREREREUlljzQTPXToUCpVqkSWLFnw9vamWbNmHD58OEGZ6tWrY7FYEnx169YtSRstkhgx1hiGBA3hhQkvmAH6JmRckpEtfbc4HqAvXYIaNcwA7eUFq1dD3bpERUGbNvDDD2axqVPNTcVERERERCR9eaSZ6A0bNtCzZ08qVapEXFwcgwcPpk6dOhw8eJBMd2w7/Pbbb/O///3P/r2Hh0fStVgkEfZc3EPHhR3ZE7rHvHAAPII8WLNoDRUrVnSs0jNnoHZtOHIEcuUyA3S5cvzzj7mye/Nmcwb6l1/MQC0iIiIiIunPI4XolStXJvh+ypQpeHt7s3PnTqpVq2a/7uHhQZ48eRJVZ3R0NNHR0fbvIyIiHqVJIgnEWmMZumkon2/8nDhbHG5xbsQsiCHD8QwsW7GMl156ybGKjxyBWrXg7Flzl7Dff4dixTh6FBo0gGPHzInp+fPh1VeTtk8iIiIiIpJ2PNbGYuHh4QBkz549wfUZM2aQM2dOSpcuzaBBg4iMjLxvHUOHDsXLy8v+lU/bGIuD9oXu48VfXmTI+iHE2eLIdyMfMd/H4HbUjYULF1K9enXHKt69G/z9zQBdvLg55VysGJs2QeXKZoAuWBC2bFGAFhERERFJ7yyGYRiOfNBms9GkSRPCwsLYtGmT/fr48eMpUKAAefPmZe/evQwYMIAXXniB+fPn37Oee81E58uXj/DwcDw9PR1pmjxl4mxxfLPpGz7b8BmxtliyZ8xOmXNlWD9mPS4uLvz22280aeLAGdBgBuaGDc3NxMqXh5UrwdubWbPMXbhjYqBSJViyBHLnTspeiYiIiIhISomIiMDLyytROdTh3bl79uzJ/v37EwRogHfeecf+++eeew4fHx9q1qzJ8ePHeeaZZ+6qx93dHXd3d0ebIU+5/Zf202lhJ3aG7ASgafGmZNucjSk/TMHJyYmZM2c6HqBXroSAALh1C6pWhaVLMTy9GPoV/N//mUWaN4fp083jrEREREREJP1zaDl3r169WLp0KUFBQfj5+T2w7Iv/nvFz7NgxRx4lck9xtjiGBg+lwvgK7AzZSbYM2fi12a8U2VmEKT9MwWKxMGXKFF577TXHHjBvHjRpYgbo+vVh1SpiPbx4663bAbpvX7OYArSIiIiIyNPjkUK0YRj06tWLBQsWsG7dOgoVKvTQz+zevRsAHx8fhxoo8l8HLx/kpYkvMXjdYGKsMTQq1oj9PfZz9LejDP9uOADjxo2jffv2jj3gl1/g9dchNhZat4aFCwmL8aB+fZg0CZyc4McfYfhwcHZOwo6JiIiIiEia90jLuXv27MnMmTNZtGgRWbJk4eLFiwB4eXmRMWNGjh8/zsyZM2nQoAE5cuRg79699OnTh2rVqlGmTJlk6YA8Paw2K8O3DueToE+Itkbj5e7F6PqjaV+mPV9//TWff/45AKNHj+btt9927CHffQcffGD+/u234aefOH3OmYYN4cAByJQJ5swxX5MWEREREZGnzyNtLGaxWO55ffLkyXTq1ImzZ8/Srl079u/fz82bN8mXLx/Nmzfno48+SvQmYY/yQrc8PQ7/c5hOizqx7dw2AOoXqc+ExhPw9fRl5MiR9OnTB4BvvvmGDz/88NEfYBjw0Ufw1Vfm9x9+CF9/zY6dFho3hosXIW9eWLrU3F9MRERERETSj2TbWOxheTtfvnxs2LDhUaoUeSCrzcrIbSP5KOgjouKi8HT35Pu63/NmuTexWCz8/PPP9gD96aefOhagbTZ4910YO9b8fuhQGDiQRYugTRuIjIQyZWDZMnjIFgAiIiIiIpLOObw7t0hyOx9xnlaBrdhydgsAdZ6pwy+NfyGfl3mW+JQpU+jevTsAAwYM4JNPPnn0h8TGQufO5hbbFov5snP37owaBX36mBPU9eqZS7i1MEJERERERBSiJU2Kjoum+Zzm/HnhT7K4ZWFE3RF0Kd/F/krB7Nmz6dKlCwDvvfceQ4cOve/rBvcVFQWtWpmHPLu4wK+/Ym31Bn3egzFjzCJdu8IPP5i3RUREREREFA0kTeqzqg9/XviTbBmy8cdbf1A0R1H7vQULFtCuXTtsNhvvvPMOI0eOfPQAff26eYTV+vWQIQMEBnKzekPeaG5maoBvv4X+/c0JahEREREREVCIljRo2p5p/LTjJyxYmBEwI0GAXr58Oa1bt8ZqtdKhQwd++umnRw/Q//xjnv28YwdkyQJLlhBS7BUaVYO//jIz9bRp0LJlEndMRERERESeeArRkqbsC91H16VdAfg///8j4/mMzNoxCx8fH2JiYggICCA2NpZWrVoxceJEnJwe6ahzOH8e6tSBgwchRw5YtYp9bhVo+CKcPQu5csGiRVClSjJ0TkREREREnngK0ZJmhEeF02JuC27F3aJs5rJM7jSZL85+Yb9vsVgwDIOmTZsyffp0XB71ReXjx6FWLTh1Cnx9YfVqVp8ryWuvQUQEFC8Oy5dD4cJJ2y8REREREUk/HnEaTyR5GIZB58WdOXr1KDldc7Lnkz2cP3v+rjIAb7zxBq6uro/2gH37oGpVM0A/8wxs2sQvW0rSoIEZoF95BbZsUYAWEREREZEHU4iWNGHE1hHM/3s+rk6uOAU6QeS9y1ksFj744AOsVmviK9+2zUzJFy/Cc89h27iJweML8vbbYLVCu3awahVkz540fRERERERkfRLIVpS3cbTGxnw+wAAehTuwaVdl+5b1jAMzp49S3BwcOIqX7vWXMJ97RpUqULUqg206ZuHoUPN2598Ar/+Cu7uj9sLERERERF5GuidaElVIddDaB3YGqthpe1zbXkh6oXEfS4k5OGFFiyA11+HmBioXZt/JiygactMbNkCrq4wYQJ07PiYHRARERERkaeKZqIl1cRaY2kd2JqLNy5SKlcpxjUaR0xMTKI+6+Pj8+ACU6eaZ1TFxEBAAMe+X0KVWmaA9vIyl28rQIuIiIiIyKNSiJZUM3jtYILPBJPFLQvzWs5j/I/j6dq16wM/Y7FYyJcvH/7+/vcvNHo0dOoENhu8+SbBvebwYjV3jh2DggVh61aoUSNJuyIiIiIiIk8JhWhJFfP/ns93W78D4JuXvqF7q+707duXmJgYnn/+eSwWCxaLJcFn4r8fOXIkzs7Od1dqGPDZZ9C7t/n9++8z89VfqFXPhatX4YUXzD3Gnn02WbsmIiIiIiLpmEK0pLgjV47QaWEnAOpmqcuAxgPYsGEDmTJlYvz48ezYsYPAwEB8fX0TfM7Pz4/AwEACAgLurtRmgz594NNPATA+/Ywvc4ygbXun+BXdBAVB7tzJ3DkREREREUnXLEb84btpREREBF5eXoSHh+Pp6ZnazZEkdjPmJpUnVmb/pf1kv5GdqyOugg1efvllpk6dyjPPPGMva7VaCQ4OJiQkBB8fH/z9/e89Ax0XB2+/DVOmmJ8bMYq3973H5Mnm7X794NtvwUn/ZCQiIiIiIvfwKDlUu3NLijEMg27LurH/0n4skRaujruKm4sbn3/+Of369bsrIDs7O1O9evUHVxodDW3awPz54OzMzR8m0TSwA2vXmqH5hx+ge/fk65OIiIiIiDxdFKIlxYzcNJLpe6eDDYw5BmUKlWHatGmUKVPGsQpv3DDXaa9ZA25uXBozhxqjmnHwIGTKBHPnQoMGSdsHERERERF5ummBq6SIsYvG0ndNXwAsay0MfGMg27dvdzxAX7sGtWubATpTJg5/v5wyn5gBOm9e2LRJAVpERERERJKeZqIlWd26dYs+/9eHccY4yAoeZzxY9fUqqlat6nilFy9CnTqwbx9ky8bGQSuo1/9Fbt2CMmVg2TLw80uyLoiIiIiIiNgpREuy2bFjB+06tONwhcNQBDzjPDn47UF8c/g+/MP3c+oU1KoFx4+Djw/TO6ymw4DSGAbUq2cu4c6SJcm6ICIiIiIikoCWc0uSi42N5bPPPqNy5coc9jYDtLuTO8G9gh8vQB88CC+/DMePYxQqxP9qB9P+GzNAd+sGS5YoQIuIiIiISPLSTLQkqUOHDtGhQwf+/PNPKAJUN6+PbzKeMrkdfP8ZYMcOc6r5yhWsJUrS2Xc1v/5qBvJhw8xjrCyWx26+iIiIiIjIA2kmWpKEzWZjzJgxlC9fnj///BPPfJ5k7pAZLNC1Qlc6lO3geOUbNsCrr8KVK8SUq0Rtt438utaXDBlg3jzo318BWkREREREUoZmouWxnT17ljfffJO1a9cCUKtuLS43vsyef/ZQMW9FRtYb6XjlS5fCa69BVBQ3KtWg0oVFHDqfhVy5YPFiqFw5afogIiIiIiKSGJqJFocZhsG0adN47rnnWLt2LRkzZuTHH3/kmV7PsOefPWTPmJ15r80jg0sGxx6wdCk0bw5RUVyq3IRCfy/n0PksFC8O27YpQIuIiIiISMpTiBaHXL58mZYtW9KhQwfCw8OpXLkye/bsIfPLmRm3cxwWLMwImEHBrAUde8Dx49CuHcTFceyFNuTfHsg/NzLwyiuwZQsULpyk3REREREREUkUhWh5ZEuWLOG5555j/vz5uLi48OWXXxIcHEyUZxTdlnYD4JNXPqFekXqOPeDWLWjRAsLDOeX7EiW3Tyba5kr79rB6NWTPnoSdEREREREReQR6J1oSLSIigr59+zJx4kQASpUqxbRp0yhfvjzhUeG0mNuCW3G3qPtMXT6u9rHjD+rVC/bs4UbGXLx8fi6xuPHpp/DJJ9pATEREREREUpdCtCTKxo0b6dixI6dOncJisdCvXz8+//xzMmTIgGEYvLnoTY5ePUp+r/xMD5iOs5OzYw+aOBEmTcJmcaLprVlcwJeJE6Fz56Ttj4iIiIiIiCMUouWBoqKi+Pjjjxk+fDiGYVCwYEGmTp1KtWrV7GWGbx3OgkMLcHVyZd5r88jpkdOxh+3aBT17AjDE6XPWWWvy8ccK0CIiIiIiknYoRMt97dq1i/bt23PgwAEAunTpwogRI/D09LSX2XBqAwN/HwjAqHqjeMH3BcceFhYGLVtCdDSr3RvxZfRAmjWDTz99vD6IiIiIiIgkJW0sJneJi4vjq6++4sUXX+TAgQN4e3uzePFifvnllwQBOuR6CK0DW2M1rLQr045uFbs59kCbDTp0gBMnOO9WkNbRv1L6OSemTQMn/QkVEREREZE0RDPRksDRo0fp0KED27ZtAyAgIICff/6ZXLlyJSgXa42lVWArQm+GUtq7ND83/BmLo7t+ffstLFlCjJM7TWICcc6RjUWLIHPmx+2NiIiIiIhI0tI8nwBgGAZjx46lXLlybNu2DS8vL6ZNm0ZgYOBdARpg0NpBbDqziSxuWfit1W9kcsvk2IODguD//g+AnrYx7HWpQGAgFCr0OL0RERERERFJHpqJFs6fP0/nzp1ZvXo1AK+++ipTpkwhX7589yw//+/5DN86HIApzaZQLEcxxx584QK8/jrYbEyhI7/wFmNHQ/XqjlUnIiIiIiKS3BSinxJWq5Xg4GBCQkLw8fHB398fZ2dnZs2aRY8ePQgLCyNDhgx888039OrVC6f7vIx85MoROi3sBED/Kv0JeDbAsQbFxkKrVnDpEvucytDDNpZu3Sx07+5gB0VERERERFKAQvRTYP78+fTu3Ztz587Zr+XNm5dChQqxefNmACpWrMi0adMoUaLEfeu5GXOTFnNbcD3mOv75/Rlaa6jjjRo4EDZv5rqTJ81tv1GpmgejRjlenYiIiIiISEpQiE7n5s+fT8uWLTEMI8H1CxcucOHCBZycnBgyZAiDBg3C1dX1vvUYhkG3Zd3Yf2k/uTPlZk7LObg4OfjHJzAQRowAoINtCnEFihAYCG5ujlUnIiIiIiKSUhSi0zGr1Urv3r3vCtB3ypUrF//3f/+Hs7PzA+v6ecfPTN87HWeLM3Nfm4tPFh/HGnXkCHTuDMC3fMCaTM3ZshjusXeZiIiIiIhImqPdudOx4ODgBEu47yU0NJTg4OAHltl+fju9V/YG4OtaX1OtQDXHGnTzJrRoAdevs4FqDOYrfv0VypRxrDoREREREZGUphCdjoWEhDx2uX8i/+G1ea8Ra4sl4NkA+lXp51hjDAO6dYP9+7lIbl5nNp985kKAg/uSiYiIiIiIpAaF6HTMxydxS67vV85qs9J2flvOhJ+haPaiTGoyCYvF4lhjxo2D6dOJw5lWzOXlFj589JFjVYmIiIiIiKQWheh0zN/fn7x58973vsViIV++fPj7+9/z/ucbP2f18dVkdMnIb61+wyuDl2MN2bEDo7e5HHwQQ4koW42pU+E+p2iJiIiIiIikWYox6ZizszOFChW65734GeWRI0fec1OxFUdX8L8N/wNgfOPxPJf7OccaceUKRsuWWGJiWEAzpubsz6JFkCmTY9WJiIiIiIikJoXodGzOnDls3rwZJycnvL29E9zz8/MjMDCQgHu8lHwq7BTtFrTDwKBbhW60K9POsQbYbNC+PZbTpznGM7ztPJnf5lsoUMCx6kRERERERFKbjrhKp0JCQujRowcAH3/8MR9//DHBwcGEhITg4+ODv7//PWego+KiaDm3JVdvXaVi3oqMrDfS8UZ8+SWsWMEtMtCC3/hqbFbus3JcRERERETkiaAQnQ4ZhsHbb7/N1atXef755+3nQFevXv2hn31/5fvsDNlJ9ozZCXwtEHcXd8casWYNxpAhWIDu/IR/z7K8845jVYmIiIiIiKQVCtHp0OTJk1m2bBlubm78+uuvuLq6Jupzv+75lXE7x2HBwoyAGRTI6uC667Nnsb3+Bk6GwQTe4kyNTqz63rGqRERERERE0hKF6HTm1KlTvP/++wB88cUXlCpVKlGf2xu6l25LuwEw5JUh1CtSz7EGxMRga/kaTlevsJPnGV5gDJvnQSJzvIiIiIiISJqmjcXSEZvNRufOnbl+/Tovv/wyffv2TdTnwqPCaTG3BbfiblGvSD0+fuVjxxvRvz9O2//gGlnp6BFI4NIM5MjheHUiIiIiIiJpiUJ0OvLDDz8QFBSEh4cHU6ZMuefGYf9lGAadFnXi2NVj5PfKz/Tm03GyOPjHYvZsGDMGgPZM48uZhShd2rGqRERERERE0iKF6HTi8OHDDBgwAIDvvvuOIkWKJOpz3235joWHFuLm7Ebga4Hk8HBw2vjgQayd3wLgSwZT5YtGNG3qWFUiIiIiIiJpld6JTgfi4uLo2LEjUVFR1K5dm27duiXqcxtObWDg2oEAjKo3ikq+lRxrwI0bxDRtidutm6zlVfa/9j9mDnasKhERERERkbRMITodGDZsGH/88QdeXl5MnDgRi8Xy0M+EXA+hdWBrbIaN9mXa07VCV8cebhjEvfk2bsf+5jx5+ar0LJZMcSYRTRAREREREXniaDn3E27Pnj0MGTIEgNGjR5MvX76HfibWGkurwFaE3gzlOe/n+LnRz4kK3vdijPkBl8DZxOJC16xzmbLcGw8Ph6oSERERERFJ8xSin2AxMTF06NCB2NhYmjVrRvv27RP1uUFrB7HpzCY83T35rdVveLg6mHq3bcPWtx8AA52GMWjpyyQiw4uIiIiIiDyxFKKfYJ999hl79+4lZ86cjBs3LlGzyYEHAxm+dTgAU5pOoWiOoo49/PJlIhu9hrM1lrm8RqnxvXn5ZceqEhEREREReVIoRD+h/vjjD77++msAxo0bh7e390M/c/ifw3Re1BmAD176gObPNnfs4VYr15u0wePKOQ5RnJ3dfqFzF70ELSIiIiIi6Z9CtIPObDzFhgp9uLT/Uoo/OzIykg4dOmCz2Wjbti0BAQEP/cylm5cImBvA9ZjrVCtQja9qfuX48wd8RpZtv3MTD76r/BtfjvF0uC4REREREZEniUK0g850+YxX/hqJx3OFWfvSx1w5HpZizx48eDBHjhwhb968jBkz5qHlz4afpdrkahy8fBCfzD7MbjEbFyfHNmaPW7wcj+GfA/Cx93i+XVYKF+3xLiIiIiIiTwmFaAdl6NyGg5kqkpmb1Nz6BZYihVn56jdcPReZrM8NCgpi1KhRAEycOJFs2bI9sPzRK0epOrkqh68cJp9nPtZ3Wo9PFh/HHn7qFNGt2gHwi2t33gpqS/bsjlUlIiIiIiLyJFKIdlDFQbV5NmI7Owf/xokMz5Kda9QLGkhM/mdY1nAsYZdikvyZERERvPnmmwB07dqVevXqPbD83tC9+E/250z4GYrlKMamzpsolqOYYw+PjubSK6+RKfoa26lE3jnfU7KkY1WJiIiIiIg8qRSiH4PFyUKFLwModH0fO9+dwnnXAuQxLtJweU/CfEqwqOU0Iq5Zk+x5ffv25fTp0xQqVIhhw4Y9sOy2c9t4ZcorhN4MpVyecgS/GUx+r/wOP/t8q/fxPrODK2Rn54B5NGju7nBdIiIiIiIiTyqF6CRgcXGmwuiO+IQfZleXH/jHOTcFbSdp+lsHzucqy2/tF3LjuvFYz1i2bBkTJ07EYrEwZcoUsmTJct+yv5/4nVq/1iIsKoyX8r1EUMcgvDM9fPfu+7k8Yhq+i3/GhoVfqs+g29ACDtclIiIiIiLyJHukED106FAqVapElixZ8Pb2plmzZhw+fDhBmaioKHr27EmOHDnInDkzLVq0IDQ0NEkbnVY5ZXSn/C89yXb1OHteH0q4U1aetR6gxfTmHM5embld1xLpwCvTV65c4a233gKgT58+VKtW7b5lFx5aSMOZDbkZe5M6z9RhdbvVZM2Q1cEeQeQf+8jcvysAv/h8wnvL65GI46hFRERERETSpUcK0Rs2bKBnz55s27aNNWvWEBsbS506dbh586a9TJ8+fViyZAnz5s1jw4YNXLhwIVFHMKUnzp6ZKDtrIJlDT7CvyWAiLR5UiNtOq/G12JmtJrP7/MGtW4mvr2fPnly8eJFnn32WL7744r7lpu2ZRsu5LYmxxtDi2RYsfn0xmdwyOdwPW1gEYTVbkNG4xXq3OjTY+jEZMzpcnYiIiIiIyBPPYhiGw+uML1++jLe3Nxs2bKBatWqEh4eTK1cuZs6cScuWLQE4dOgQzz77LFu3bqVy5coPrTMiIgIvLy/Cw8Px9Ewf5w/HnQ/lSKeveOb3n3HH3HBsZYamXOv7BQGflMb9Aa8Xz5kzh9dffx1nZ2e2bt1KpUqV7lnux+0/0mtFLwA6levEhMYTHD7GCgDD4GDJlpQ8NJ8z5OPSir+oWC+n4/WJiIiIiIikUY+SQx/rnejw8HAAsv97ztHOnTuJjY2lVq1a9jIlSpQgf/78bN269Z51REdHExERkeArvXHxzU3JNaOwHDnC4Zc6YcWJelGLaP1VGZZlb8/ML04Qc4/NvENCQujRowdgng19rwBtGAZfBX9lD9C9X+zNxCYTHy9AA7s7fU/JQ/OJwZV9H89TgBYREREREeExQrTNZuP999/n5ZdfpnTp0gBcvHgRNzc3smbNmqBs7ty5uXjx4j3rGTp0KF5eXvavfPnyOdqkNM+taAGKb56Mdfd+jpVviRMGAZHTee3j4szJ2YNZwy8QG2uWNQyDd955h6tXr1K+fHk++uiju+ozDIMBvw/g/9b9HwBDXhnC93W/x8nyePvFHZ0UTOlfPwRg6avf0/B/Lz5WfSIiIiIiIumFw2mrZ8+e7N+/n9mzZz9WAwYNGkR4eLj96+zZs49V35PAreyzFPlrHtGbd3C6RF1ciaP99Z9o2r8Ik7wHMGfsFX75ZQpLly7Fzc2NX3/9FTc3twR1WG1Wui7tyrAt5lFXI+qM4NPqn2J5zF2//tl/Ec93WuOClaA8b9BkZY/Hqk9ERERERCQ9cShE9+rVi6VLlxIUFISfn5/9ep48eYiJiSEsLCxB+dDQUPLkyXPPutzd3fH09Ezw9bRwf6kCBf5eSdTK9Zwv+BIe3KJr2LfU61mYM+/sJTMt+eyzL+wz/fFirbG0nd+WCX9NwMnixMQmE+lTpc9jtycmMo4zVd8gtzWEo24lKf/neFxctRW3iIiIiIhIvEcK0YZh0KtXLxYsWMC6desoVKhQgvsVKlTA1dWVtWvX2q8dPnyYM2fOUKVKlaRpcTqUoe4r+J7YRFTgUkJ9yuJFBJ8zkuNsgJEu/DYjCpvNLHsr9hbN5zRnzoE5uDq5MrvFbDqX7/zYbTAM+P2lj3k+fD3XyYzLwt/I6pf5sesVERERERFJTx5pd+4ePXowc+ZMFi1aRPHixe3Xvby8yPjv2Ufdu3dn+fLlTJkyBU9PT959910AtmzZkqhnpMfduR/FmFGj2Pz+AD4nE0W5CsAZ8jHRdwjFhzdnXGRzNp7ZSEaXjMxvPZ96ReolyXOXdl1Mo/FNAdg1cA7lh7ZKknpFRERERETSukfJoY8Uou/3vu3kyZPp1KkTAFFRUfTr149Zs2YRHR1N3bp1GTt27H2Xcz9O49ObI0eOUK5cOW7dusXYUaPoaPEg9qPP8Io4xz8eUL2dOwfyRuPh5MnKDsvwL1A1SZ67dfpxnm1fgayEs7NqbyoEj0ySekVERERERJ4EyRaiU8LTGqLj4uLw9/dn27Zt1KpVi1WrVuHk5ARRURz7biiNQ7/kUE4rOW/CyOnF2Z75e+qNrEe9+hYeZy+xEwducaPsS5Sx7uZorioUObsei7vbQz8nIiIiIiKSXqTYOdGSdIYNG8a2bdvw9PRk0qRJZoAGTty6QJ0s0ziU00pew5Pfp3vQNuQwo442IHPDavR4LpjffzffaX5UERHwV9V3KWPdzTWXnOTbMlcBWkRERERE5AEUotOAvXv3MmTIEABGjx5tPyt7/6X9VJ1UlZNhJymSvQib399D2X1nuNmjP7EuGfBnEz8dqEZM7Qa8VWEX69cn/pk2G0ypNomWYROxYcE6bRYZivg9/IMiIiIiIiJPMYXoVBYTE0OHDh2IjY2lSZMmdOjQAYDt57fzypRXCLkRwnPezxH8ZjAFsxaEHDnI9OMwXE8d42b7rlidXGjACibuep5LNVrRsfJhNm16+HPHvrObt/f0BOB8t8/J+XqtZOyliIiIiIhI+qAQncr+97//sWfPHnLkyMH48eOxWCysP7Wemr/W5Oqtq1T2q8z6TuvJk/k/G7P5+pLp159xPvw3N5u3xYaFVsxj4h+lOOT/Fu2qnWHbtns/c/6kMOpPbEFGojhXriH5fhyU/B0VERERERFJBxSiU9Eff/zB0KFDAfj555/JnTs3S48spd70etyIucGrhV5lTfs1ZM+Y/f6VFClCpvnTcdqzm8jaTXDByltMZGJwUbZVeZ82tS6xY8ft4jv/tOH2dkee4QRXvQrit/ZXcNIfAxERERERkcRQekolkZGRdOjQAZvNRps2bWjZsiWz9s2i+ZzmRFujaVq8KcvaLCOzW+bEVVimDB6rF8GWLdyqXB13YnifUYxfW5gVlT7mjQbhrFkDq2oNo5FtMbFObnitDoTsDwjoIiIiIiIikoCOuEol77//PqNGjcLHx4f9+/cz98RceizrgYFBuzLtmNRkEq7Oro5Vbhiwdi1RfQeTYd+fAFwlG7/SgXcZgzM2IkeOw6P3O0nYIxERERERkSeTzolO44KCgnj11VcBWL58OXuz7GXg2oEA9KzUk9H1R+NkSYJFAoYBCxcS/cFHuB8/aL8c3qwDXvOn8FgHTIuIiIiIiKQTOic6DYuIiODNN98E4K2332Kj60Z7gB5cdTBj6o9JmgANZkhu3hz3w3th6lRinylBTJVX8JrxkwK0iIiIiIiIA1xSuwFPm379+nH69GkKFCyA0cDg681fA/BNrW/48OUPk+ehzs7QoQOu/x6fJSIiIiIiIo5RiE5By5Yt45dffgFnKPphUSbumYgFCz83+pl3Kuj9ZBERERERkbROITqFXLlyhbfeegtcoPCAwvx+6XdcnFyY1nwar5d+PbWbJyIiIiIiIomgEJ1CevXqxcWrF/F424MTrifI4JKBwNcCaVisYWo3TURERERERBJJIToFzJ07l9mLZkMHiMwdSWa3zCx5YwnVC1ZP7aaJiIiIiIjII1CITmYXL16kW/9u0AnIDdkzZmdl25VU8q2U2k0TERERERGRR6QQnYwMw6Btz7Zca34NsoNPZh/WtF9DKe9Sqd00ERERERERcYBCdDL6asJXrCu4DjzB18OXjZ03Ujhb4dRuloiIiIiIiDhIITqZLN25lI9PfAye4G3xZnu37eTNkje1myUiIiIiIiKPwSm1G5AebTi1gWYLm2FkNMgUnol9ffYpQIuIiIiIiKQDCtFJbMXRFdSeWhurixWnM04EvxWMdxbv1G6WiIiIiIiIJAGF6CQ098BcmsxqQiyxcASGlRtG+ZLlU7tZIiIiIiIikkQUopPIL3/9wuuBrxNnxME+qHGpBu/3fD+1myUiIiIiIiJJSBuLJYERW0fQb3U/85sdkCU4C1P2TsHJSf9GISIiIiIikp4oRD8GwzAYsn4In2/8HACnLU7YVtsYPXk0+fPnT+XWiYiIiIiISFLTVKmDbIaN3it72wN0ngN5sK220bhxYzp27JjKrRMREREREZHkoJloB1itVpr+0pRlF5cBUDeuLqvmrSJHjhyMHz8ei8WSyi0UERERERGR5KCZ6Ec0f/58ChYsyLIfloEVmA+rvlgFwE8//USePHlSt4EiIiIiIiKSbDQT/Qjmz59Py5YtMQwDzgFngfDb952dnVOraSIiIiIiIpICNBOdSFarld69e5sBOt4dAdpisfD+++9jtVpTvnEiIiIiIiKSIhSiEyk4OJhz587d975hGJw9e5bg4OAUbJWIiIiIiIikJIXoRAoJCUnSciIiIiIiIvLkUYhOJB8fnyQtJyIiIiIiIk8ehehE8vf3x8/P777HV1ksFvLly4e/v38Kt0xERERERERSikJ0Ijk7OzNq1CiAu4J0/PcjR47UDt0iIiIiIiLpmEL0IwgICCAwMBBfX98E1/38/AgMDCQgICCVWiYiIiIiIiIpwWIkOLMp9UVERODl5UV4eDienp6p3Zx7slqtBAcHExISgo+PD/7+/pqBFhEREREReUI9Sg51SaE2pSvOzs5Ur149tZshIiIiIiIiKUzLuUVEREREREQSSSFaREREREREJJEUokVEREREREQSSSFaREREREREJJEUokVEREREREQSSSFaREREREREJJEUokVEREREREQSSSFaREREREREJJEUokVEREREREQSSSFaREREREREJJEUokVEREREREQSSSFaREREREREJJEUokVEREREREQSSSFaREREREREJJEUokVEREREREQSSSFaREREREREJJEUokVEREREREQSSSFaREREREREJJEUokVEREREREQSSSFaREREREREJJFcUrsB/2UYBgARERGp3BIRERERERF5GsTnz/g8+iBpLkRfv34dgHz58qVyS0RERERERORpcv36dby8vB5YxmIkJmqnIJvNxoULF8iSJQsWiyW1m5OuREREkC9fPs6ePYunp2dqNydd0hgnP41x8tMYJz+NcfLTGCc/jXHy0xgnP41x8ntSxtgwDK5fv07evHlxcnrwW89pbibayckJPz+/1G5Guubp6Zmm/wCnBxrj5KcxTn4a4+SnMU5+GuPkpzFOfhrj5KcxTn5Pwhg/bAY6njYWExEREREREUkkhWgRERERERGRRFKIfoq4u7szZMgQ3N3dU7sp6ZbGOPlpjJOfxjj5aYyTn8Y4+WmMk5/GOPlpjJNfehzjNLexmIiIiIiIiEhapZloERERERERkURSiBYRERERERFJJIVoERERERERkURSiBYRERERERFJJIVoERERERERkURSiH7CbNy4kcaNG5M3b14sFgsLFy5McD80NJROnTqRN29ePDw8qFevHkePHk1Q5vjx4zRv3pxcuXLh6elJq1atCA0Ntd8/deoUXbp0oVChQmTMmJFnnnmGIUOGEBMTkxJdTHUpMcZ3io6Oply5clgsFnbv3p1MvUpbUnKMly1bxosvvkjGjBnJli0bzZo1S8aepR0pNcZHjhyhadOm5MyZE09PT6pWrUpQUFBydy9NGDp0KJUqVSJLlix4e3vTrFkzDh8+nKBMVFQUPXv2JEeOHGTOnJkWLVrcNYZnzpyhYcOGeHh44O3tzQcffEBcXFyCMuvXr+f555/H3d2dIkWKMGXKlOTuXpqQUmM8f/58ateubf+zXqVKFVatWpUifUxtKfnnON7mzZtxcXGhXLlyydWtNCUlxzg6Opr/+7//o0CBAri7u1OwYEEmTZqU7H1MTSk5vjNmzKBs2bJ4eHjg4+ND586duXLlSrL3MS1IqnF+7733qFChAu7u7vf9GbB37178/f3JkCED+fLl49tvv02ubjlMIfoJc/PmTcqWLcuPP/541z3DMGjWrBknTpxg0aJF7Nq1iwIFClCrVi1u3rxp/3ydOnWwWCysW7eOzZs3ExMTQ+PGjbHZbAAcOnQIm83GuHHjOHDgAN9//z0///wzgwcPTtG+ppaUGOM7ffjhh+TNmzfZ+5WWpNQY//bbb7Rv354333yTPXv2sHnzZtq0aZNi/UxNKTXGjRo1Ii4ujnXr1rFz507Kli1Lo0aNuHjxYor1NbVs2LCBnj17sm3bNtasWUNsbCx16tSxjyFAnz59WLJkCfPmzWPDhg1cuHCBgIAA+32r1UrDhg2JiYlhy5YtTJ06lSlTpvDJJ5/Yy5w8eZKGDRtSo0YNdu/ezfvvv89bb731VIS8lBrjjRs3Urt2bZYvX87OnTupUaMGjRs3ZteuXSna39SQUmMcLywsjA4dOlCzZs0U6V9akJJj3KpVK9auXcvEiRM5fPgws2bNonjx4inW19SQUuO7efNmOnToQJcuXThw4ADz5s1j+/btvP322yna39SSFOMcr3PnzrRu3fqez4mIiKBOnToUKFCAnTt3MmzYMD799FPGjx+fbH1ziCFPLMBYsGCB/fvDhw8bgLF//377NavVauTKlcuYMGGCYRiGsWrVKsPJyckIDw+3lwkLCzMsFouxZs2a+z7r22+/NQoVKpT0nUjjknuMly9fbpQoUcI4cOCAARi7du1K1v6kRck1xrGxsYavr6/xyy+/pExH0rDkGuPLly8bgLFx40Z7mYiICAN44M+T9OrSpUsGYGzYsMEwDHO8XF1djXnz5tnL/P333wZgbN261TAM82eAk5OTcfHiRXuZn376yfD09DSio6MNwzCMDz/80ChVqlSCZ7Vu3dqoW7ducncpzUmuMb6XkiVLGp999lky9STtSu4xbt26tfHRRx8ZQ4YMMcqWLZv8HUqDkmuMV6xYYXh5eRlXrlxJwd6kPck1vsOGDTMKFy6c4FmjR482fH19k7tLaZIj43yn+/0MGDt2rJEtW7YEPzsGDBhgFC9ePOk78Rg0E52OREdHA5AhQwb7NScnJ9zd3dm0aZO9jMViwd3d3V4mQ4YMODk52cvcS3h4ONmzZ0+mlj85knKMQ0NDefvtt5k2bRoeHh4p1IO0L6nG+K+//uL8+fM4OTlRvnx5fHx8qF+/Pvv370/B3qRNSTXGOXLkoHjx4vz666/cvHmTuLg4xo0bh7e3NxUqVEjBHqUN4eHhAPaflTt37iQ2NpZatWrZy5QoUYL8+fOzdetWALZu3cpzzz1H7ty57WXq1q1LREQEBw4csJe5s474MvF1PE2Sa4z/y2azcf369afyv3vJOcaTJ0/mxIkTDBkyJCW6kmYl1xgvXryYihUr8u233+Lr60uxYsXo378/t27dSqmupQnJNb5VqlTh7NmzLF++HMMwCA0NJTAwkAYNGqRU19IUR8Y5MbZu3Uq1atVwc3OzX6tbty6HDx/m2rVrSdT6x6cQnY7E/0EdNGgQ165dIyYmhm+++YZz584REhICQOXKlcmUKRMDBgwgMjKSmzdv0r9/f6xWq73Mfx07dowxY8bQtWvXlOxOmpRUY2wYBp06daJbt25UrFgxNbuU5iTVGJ84cQKATz/9lI8++oilS5eSLVs2qlevztWrV1Otf2lBUo2xxWLh999/Z9euXWTJkoUMGTIwYsQIVq5cSbZs2VKziynOZrPx/vvv8/LLL1O6dGkALl68iJubG1mzZk1QNnfu3Pbl7hcvXkzwl7b4+/H3HlQmIiLiqfrLcXKO8X9999133Lhxg1atWiVxL9K25Bzjo0ePMnDgQKZPn46Li0sy9yTtSs4xPnHiBJs2bWL//v0sWLCAkSNHEhgYSI8ePZK5V2lHco7vyy+/zIwZM2jdujVubm7kyZMHLy+ve742ld45Os6J4cjP7NSgEJ2OuLq6Mn/+fI4cOUL27Nnx8PAgKCiI+vXr4+Rk/k+dK1cu5s2bx5IlS8icOTNeXl6EhYXx/PPP28vc6fz589SrV4/XXnvtqXnn40GSaozHjBnD9evXGTRoUGp2J01KqjGOf2/3//7v/2jRogUVKlRg8uTJWCwW5s2bl2r9SwuSaowNw6Bnz554e3sTHBzM9u3badasGY0bN77vP8qlVz179mT//v3Mnj07tZuSbqXUGM+cOZPPPvuMuXPn4u3tnazPSmuSa4ytVitt2rThs88+o1ixYkla95MmOf8c22w2LBYLM2bM4IUXXqBBgwaMGDGCqVOnPjX/4Jac43vw4EF69+7NJ598ws6dO1m5ciWnTp2iW7duSf6stE7/zYOn958C06kKFSqwe/duwsPDiYmJIVeuXLz44osJZjvr1KnD8ePH+eeff3BxcSFr1qzkyZOHwoULJ6jrwoUL1KhRg5deeintvcyfipJijNetW8fWrVsTLJUFqFixIm3btmXq1Kkp2qe0JinG2MfHB4CSJUvaP+Pu7k7hwoU5c+ZMynYoDUqqP8dLly7l2rVreHp6AjB27FjWrFnD1KlTGThwYKr0LaX16tWLpUuXsnHjRvz8/OzX8+TJQ0xMDGFhYQn+ZT40NJQ8efLYy2zfvj1BffE7md5Z5r+7m4aGhuLp6UnGjBmTo0tpTnKPcbzZs2fz1ltvMW/evLuW0Kd3yTnG169fZ8eOHezatYtevXoBZuAzDAMXFxdWr17Nq6++msw9TH3J/efYx8cHX19fvLy87GWeffZZDMPg3LlzFC1aNLm6liYk9/gOHTqUl19+mQ8++ACAMmXKkClTJvz9/fniiy/sf+9I7x5nnBPjfv/Ni7+XZqTqG9nyWPjPZkH3cuTIEcPJyclYtWrVfcusXbvWsFgsxqFDh+zXzp07ZxQtWtR4/fXXjbi4uKRq8hMnucb49OnTxr59++xfq1atMgAjMDDQOHv2bFJ2Ic1LrjEODw833N3dE2wsFhMTY3h7exvjxo1LkrY/KZJrjBc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"text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fit1 = Holt(air, initialization_method=\"estimated\").fit(\n", " smoothing_level=0.8, smoothing_trend=0.2, optimized=False\n", ")\n", "fcast1 = fit1.forecast(5).rename(\"Holt's linear trend\")\n", "fit2 = Holt(air, exponential=True, initialization_method=\"estimated\").fit(\n", " smoothing_level=0.8, smoothing_trend=0.2, optimized=False\n", ")\n", "fcast2 = fit2.forecast(5).rename(\"Exponential trend\")\n", "fit3 = Holt(air, damped_trend=True, initialization_method=\"estimated\").fit(\n", " smoothing_level=0.8, smoothing_trend=0.2\n", ")\n", "fcast3 = fit3.forecast(5).rename(\"Additive damped trend\")\n", "\n", "plt.figure(figsize=(12, 8))\n", "plt.plot(air, marker=\"o\", color=\"black\")\n", "plt.plot(fit1.fittedvalues, color=\"blue\")\n", "(line1,) = plt.plot(fcast1, marker=\"o\", color=\"blue\")\n", "plt.plot(fit2.fittedvalues, color=\"red\")\n", "(line2,) = plt.plot(fcast2, marker=\"o\", color=\"red\")\n", "plt.plot(fit3.fittedvalues, color=\"green\")\n", "(line3,) = plt.plot(fcast3, marker=\"o\", color=\"green\")\n", "plt.legend([line1, line2, line3], [fcast1.name, fcast2.name, fcast3.name])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Seasonally adjusted data\n", "Lets look at some seasonally adjusted livestock data. We fit five Holt's models.\n", "The below table allows us to compare results when we use exponential versus additive and damped versus non-damped.\n", " \n", "Note: ```fit4``` does not allow the parameter $\\phi$ to be optimized by providing a fixed value of $\\phi=0.98$" ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "ExecuteTime": { "end_time": "2017-12-07T12:39:16.605618Z", "start_time": "2017-12-07T12:39:16.116424Z" }, "execution": { "iopub.execute_input": "2023-12-14T14:44:10.751333Z", "iopub.status.busy": "2023-12-14T14:44:10.750978Z", "iopub.status.idle": "2023-12-14T14:44:10.930202Z", "shell.execute_reply": "2023-12-14T14:44:10.929333Z" } }, "outputs": [ { "data": { "text/html": [ "
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SESHolt'sExponentialAdditiveMultiplicative
$\\alpha$1.0000000.9743380.9776420.9788430.974912
$\\beta$NaN0.0000000.0000000.0000080.000000
$\\phi$NaNNaNNaN0.9800000.981646
$l_0$263.917703258.882683260.335599257.357716258.951817
$b_0$NaN5.0108561.0137806.6452971.038144
SSE6761.3502356004.1382076104.1947826036.5971696081.995045
\n", "
" ], "text/plain": [ " SES Holt's Exponential Additive Multiplicative\n", "$\\alpha$ 1.000000 0.974338 0.977642 0.978843 0.974912\n", "$\\beta$ NaN 0.000000 0.000000 0.000008 0.000000\n", "$\\phi$ NaN NaN NaN 0.980000 0.981646\n", "$l_0$ 263.917703 258.882683 260.335599 257.357716 258.951817\n", "$b_0$ NaN 5.010856 1.013780 6.645297 1.038144\n", "SSE 6761.350235 6004.138207 6104.194782 6036.597169 6081.995045" ] }, "execution_count": 5, "metadata": {}, "output_type": "execute_result" } ], "source": [ "fit1 = SimpleExpSmoothing(livestock2, initialization_method=\"estimated\").fit()\n", "fit2 = Holt(livestock2, initialization_method=\"estimated\").fit()\n", "fit3 = Holt(livestock2, exponential=True, initialization_method=\"estimated\").fit()\n", "fit4 = Holt(livestock2, damped_trend=True, initialization_method=\"estimated\").fit(\n", " damping_trend=0.98\n", ")\n", "fit5 = Holt(\n", " livestock2, exponential=True, damped_trend=True, initialization_method=\"estimated\"\n", ").fit()\n", "params = [\n", " \"smoothing_level\",\n", " \"smoothing_trend\",\n", " \"damping_trend\",\n", " \"initial_level\",\n", " \"initial_trend\",\n", "]\n", "results = pd.DataFrame(\n", " index=[r\"$\\alpha$\", r\"$\\beta$\", r\"$\\phi$\", r\"$l_0$\", \"$b_0$\", \"SSE\"],\n", " columns=[\"SES\", \"Holt's\", \"Exponential\", \"Additive\", \"Multiplicative\"],\n", ")\n", "results[\"SES\"] = [fit1.params[p] for p in params] + [fit1.sse]\n", "results[\"Holt's\"] = [fit2.params[p] for p in params] + [fit2.sse]\n", "results[\"Exponential\"] = [fit3.params[p] for p in params] + [fit3.sse]\n", "results[\"Additive\"] = [fit4.params[p] for p in params] + [fit4.sse]\n", "results[\"Multiplicative\"] = [fit5.params[p] for p in params] + [fit5.sse]\n", "results" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Plots of Seasonally Adjusted Data\n", "The following plots allow us to evaluate the level and slope/trend components of the above table's fits." ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "ExecuteTime": { "end_time": "2017-12-07T12:39:17.105928Z", "start_time": "2017-12-07T12:39:16.607306Z" }, "execution": { "iopub.execute_input": "2023-12-14T14:44:10.933726Z", "iopub.status.busy": "2023-12-14T14:44:10.933331Z", "iopub.status.idle": "2023-12-14T14:44:12.290890Z", "shell.execute_reply": "2023-12-14T14:44:12.289975Z" } }, "outputs": [ { "data": { "image/png": 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", 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", 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" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Figure 7.4: Level and slope components for Holt’s linear trend method and the additive damped trend method.\n" ] } ], "source": [ "for fit in [fit2, fit4]:\n", " pd.DataFrame(np.c_[fit.level, fit.trend]).rename(\n", " columns={0: \"level\", 1: \"slope\"}\n", " ).plot(subplots=True)\n", "plt.show()\n", "print(\n", " \"Figure 7.4: Level and slope components for Holt’s linear trend method and the additive damped trend method.\"\n", ")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Comparison\n", "Here we plot a comparison Simple Exponential Smoothing and Holt's Methods for various additive, exponential and damped combinations. All of the models parameters will be optimized by statsmodels." ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "ExecuteTime": { "end_time": "2017-12-07T12:39:18.038995Z", "start_time": "2017-12-07T12:39:17.108323Z" }, "execution": { "iopub.execute_input": "2023-12-14T14:44:12.295566Z", "iopub.status.busy": "2023-12-14T14:44:12.293816Z", "iopub.status.idle": "2023-12-14T14:44:13.095029Z", "shell.execute_reply": "2023-12-14T14:44:13.094373Z" } }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Figure 7.5: Forecasting livestock, sheep in Asia: comparing forecasting performance of non-seasonal methods.\n" ] } ], "source": [ "fit1 = SimpleExpSmoothing(livestock2, initialization_method=\"estimated\").fit()\n", "fcast1 = fit1.forecast(9).rename(\"SES\")\n", "fit2 = Holt(livestock2, initialization_method=\"estimated\").fit()\n", "fcast2 = fit2.forecast(9).rename(\"Holt's\")\n", "fit3 = Holt(livestock2, exponential=True, initialization_method=\"estimated\").fit()\n", "fcast3 = fit3.forecast(9).rename(\"Exponential\")\n", "fit4 = Holt(livestock2, damped_trend=True, initialization_method=\"estimated\").fit(\n", " damping_trend=0.98\n", ")\n", "fcast4 = fit4.forecast(9).rename(\"Additive Damped\")\n", "fit5 = Holt(\n", " livestock2, exponential=True, damped_trend=True, initialization_method=\"estimated\"\n", ").fit()\n", "fcast5 = fit5.forecast(9).rename(\"Multiplicative Damped\")\n", "\n", "ax = livestock2.plot(color=\"black\", marker=\"o\", figsize=(12, 8))\n", "livestock3.plot(ax=ax, color=\"black\", marker=\"o\", legend=False)\n", "fcast1.plot(ax=ax, color=\"red\", legend=True)\n", "fcast2.plot(ax=ax, color=\"green\", legend=True)\n", "fcast3.plot(ax=ax, color=\"blue\", legend=True)\n", "fcast4.plot(ax=ax, color=\"cyan\", legend=True)\n", "fcast5.plot(ax=ax, color=\"magenta\", legend=True)\n", "ax.set_ylabel(\"Livestock, sheep in Asia (millions)\")\n", "plt.show()\n", "print(\n", " \"Figure 7.5: Forecasting livestock, sheep in Asia: comparing forecasting performance of non-seasonal methods.\"\n", ")" ] }, { "cell_type": "markdown", "metadata": { "ExecuteTime": { "end_time": "2017-10-05T09:40:15.958575Z", "start_time": "2017-10-05T09:40:15.615Z" } }, "source": [ "## Holt's Winters Seasonal\n", "Finally we are able to run full Holt's Winters Seasonal Exponential Smoothing including a trend component and a seasonal component.\n", "statsmodels allows for all the combinations including as shown in the examples below:\n", "1. ```fit1``` additive trend, additive seasonal of period ```season_length=4``` and the use of a Box-Cox transformation.\n", "1. ```fit2``` additive trend, multiplicative seasonal of period ```season_length=4``` and the use of a Box-Cox transformation..\n", "1. ```fit3``` additive damped trend, additive seasonal of period ```season_length=4``` and the use of a Box-Cox transformation.\n", "1. ```fit4``` additive damped trend, multiplicative seasonal of period ```season_length=4``` and the use of a Box-Cox transformation.\n", "\n", "The plot shows the results and forecast for ```fit1``` and ```fit2```.\n", "The table allows us to compare the results and parameterizations." ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "ExecuteTime": { "end_time": "2017-12-07T12:39:28.375871Z", "start_time": "2017-12-07T12:39:18.040674Z" }, "execution": { "iopub.execute_input": "2023-12-14T14:44:13.098015Z", "iopub.status.busy": "2023-12-14T14:44:13.097603Z", "iopub.status.idle": "2023-12-14T14:44:14.422013Z", "shell.execute_reply": "2023-12-14T14:44:14.421157Z" } }, "outputs": [ { "data": { "image/png": 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"text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Figure 7.6: Forecasting international visitor nights in Australia using Holt-Winters method with both additive and multiplicative seasonality.\n" ] }, { "data": { "text/html": [ "
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AdditiveMultiplicativeAdditive DamMultiplica Dam
$\\alpha$1.490116e-081.490116e-081.490116e-081.490116e-08
$\\beta$1.409862e-083.449544e-236.490775e-095.042224e-09
$\\phi$NaNNaN9.430416e-019.536044e-01
$\\gamma$1.829110e-162.550777e-153.872323e-165.847315e-16
$l_0$1.119347e+011.106378e+011.084021e+019.899276e+00
$b_0$1.205396e-011.198959e-012.456749e-011.975442e-01
SSE4.402746e+013.611262e+013.527619e+013.062033e+01
\n", "
" ], "text/plain": [ " Additive Multiplicative Additive Dam Multiplica Dam\n", "$\\alpha$ 1.490116e-08 1.490116e-08 1.490116e-08 1.490116e-08\n", "$\\beta$ 1.409862e-08 3.449544e-23 6.490775e-09 5.042224e-09\n", "$\\phi$ NaN NaN 9.430416e-01 9.536044e-01\n", "$\\gamma$ 1.829110e-16 2.550777e-15 3.872323e-16 5.847315e-16\n", "$l_0$ 1.119347e+01 1.106378e+01 1.084021e+01 9.899276e+00\n", "$b_0$ 1.205396e-01 1.198959e-01 2.456749e-01 1.975442e-01\n", "SSE 4.402746e+01 3.611262e+01 3.527619e+01 3.062033e+01" ] }, "execution_count": 8, "metadata": {}, "output_type": "execute_result" } ], "source": [ "fit1 = ExponentialSmoothing(\n", " aust,\n", " seasonal_periods=4,\n", " trend=\"add\",\n", " seasonal=\"add\",\n", " use_boxcox=True,\n", " initialization_method=\"estimated\",\n", ").fit()\n", "fit2 = ExponentialSmoothing(\n", " aust,\n", " seasonal_periods=4,\n", " trend=\"add\",\n", " seasonal=\"mul\",\n", " use_boxcox=True,\n", " initialization_method=\"estimated\",\n", ").fit()\n", "fit3 = ExponentialSmoothing(\n", " aust,\n", " seasonal_periods=4,\n", " trend=\"add\",\n", " seasonal=\"add\",\n", " damped_trend=True,\n", " use_boxcox=True,\n", " initialization_method=\"estimated\",\n", ").fit()\n", "fit4 = ExponentialSmoothing(\n", " aust,\n", " seasonal_periods=4,\n", " trend=\"add\",\n", " seasonal=\"mul\",\n", " damped_trend=True,\n", " use_boxcox=True,\n", " initialization_method=\"estimated\",\n", ").fit()\n", "results = pd.DataFrame(\n", " index=[r\"$\\alpha$\", r\"$\\beta$\", r\"$\\phi$\", r\"$\\gamma$\", r\"$l_0$\", \"$b_0$\", \"SSE\"]\n", ")\n", "params = [\n", " \"smoothing_level\",\n", " \"smoothing_trend\",\n", " \"damping_trend\",\n", " \"smoothing_seasonal\",\n", " \"initial_level\",\n", " \"initial_trend\",\n", "]\n", "results[\"Additive\"] = [fit1.params[p] for p in params] + [fit1.sse]\n", "results[\"Multiplicative\"] = [fit2.params[p] for p in params] + [fit2.sse]\n", "results[\"Additive Dam\"] = [fit3.params[p] for p in params] + [fit3.sse]\n", "results[\"Multiplica Dam\"] = [fit4.params[p] for p in params] + [fit4.sse]\n", "\n", "ax = aust.plot(\n", " figsize=(10, 6),\n", " marker=\"o\",\n", " color=\"black\",\n", " title=\"Forecasts from Holt-Winters' multiplicative method\",\n", ")\n", "ax.set_ylabel(\"International visitor night in Australia (millions)\")\n", "ax.set_xlabel(\"Year\")\n", "fit1.fittedvalues.plot(ax=ax, style=\"--\", color=\"red\")\n", "fit2.fittedvalues.plot(ax=ax, style=\"--\", color=\"green\")\n", "\n", "fit1.forecast(8).rename(\"Holt-Winters (add-add-seasonal)\").plot(\n", " ax=ax, style=\"--\", marker=\"o\", color=\"red\", legend=True\n", ")\n", "fit2.forecast(8).rename(\"Holt-Winters (add-mul-seasonal)\").plot(\n", " ax=ax, style=\"--\", marker=\"o\", color=\"green\", legend=True\n", ")\n", "\n", "plt.show()\n", "print(\n", " \"Figure 7.6: Forecasting international visitor nights in Australia using Holt-Winters method with both additive and multiplicative seasonality.\"\n", ")\n", "\n", "results" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### The Internals\n", "It is possible to get at the internals of the Exponential Smoothing models. \n", "\n", "Here we show some tables that allow you to view side by side the original values $y_t$, the level $l_t$, the trend $b_t$, the season $s_t$ and the fitted values $\\hat{y}_t$. Note that these values only have meaningful values in the space of your original data if the fit is performed without a Box-Cox transformation." ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "execution": { "iopub.execute_input": "2023-12-14T14:44:14.427373Z", "iopub.status.busy": "2023-12-14T14:44:14.426104Z", "iopub.status.idle": "2023-12-14T14:44:14.627977Z", "shell.execute_reply": "2023-12-14T14:44:14.627043Z" } }, "outputs": [], "source": [ "fit1 = ExponentialSmoothing(\n", " aust,\n", " seasonal_periods=4,\n", " trend=\"add\",\n", " seasonal=\"add\",\n", " initialization_method=\"estimated\",\n", ").fit()\n", "fit2 = ExponentialSmoothing(\n", " aust,\n", " seasonal_periods=4,\n", " trend=\"add\",\n", " seasonal=\"mul\",\n", " initialization_method=\"estimated\",\n", ").fit()" ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "ExecuteTime": { "end_time": "2017-12-07T12:39:28.399765Z", "start_time": "2017-12-07T12:39:28.377215Z" }, "execution": { "iopub.execute_input": "2023-12-14T14:44:14.632227Z", "iopub.status.busy": "2023-12-14T14:44:14.631841Z", "iopub.status.idle": "2023-12-14T14:44:14.650887Z", "shell.execute_reply": "2023-12-14T14:44:14.650031Z" } }, "outputs": [], "source": [ "df = pd.DataFrame(\n", " np.c_[aust, fit1.level, fit1.trend, fit1.season, fit1.fittedvalues],\n", " columns=[r\"$y_t$\", r\"$l_t$\", r\"$b_t$\", r\"$s_t$\", r\"$\\hat{y}_t$\"],\n", " index=aust.index,\n", ")\n", "forecasts = fit1.forecast(8).rename(r\"$\\hat{y}_t$\").to_frame()\n", "df = pd.concat([df, forecasts], axis=0, sort=True)" ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "ExecuteTime": { "end_time": "2017-12-07T12:39:28.574783Z", "start_time": "2017-12-07T12:39:28.401234Z" }, "execution": { "iopub.execute_input": "2023-12-14T14:44:14.654974Z", "iopub.status.busy": "2023-12-14T14:44:14.654638Z", "iopub.status.idle": "2023-12-14T14:44:14.667224Z", "shell.execute_reply": "2023-12-14T14:44:14.666418Z" } }, "outputs": [], "source": [ "df = pd.DataFrame(\n", " np.c_[aust, fit2.level, fit2.trend, fit2.season, fit2.fittedvalues],\n", " columns=[r\"$y_t$\", r\"$l_t$\", r\"$b_t$\", r\"$s_t$\", r\"$\\hat{y}_t$\"],\n", " index=aust.index,\n", ")\n", "forecasts = fit2.forecast(8).rename(r\"$\\hat{y}_t$\").to_frame()\n", "df = pd.concat([df, forecasts], axis=0, sort=True)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Finally lets look at the levels, slopes/trends and seasonal components of the models." ] }, { "cell_type": "code", "execution_count": 12, "metadata": { "ExecuteTime": { "end_time": "2017-12-07T12:39:29.636548Z", "start_time": "2017-12-07T12:39:28.576279Z" }, "execution": { "iopub.execute_input": "2023-12-14T14:44:14.671172Z", "iopub.status.busy": "2023-12-14T14:44:14.670890Z", "iopub.status.idle": "2023-12-14T14:44:16.171984Z", "shell.execute_reply": "2023-12-14T14:44:16.170956Z" } }, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "states1 = pd.DataFrame(\n", " np.c_[fit1.level, fit1.trend, fit1.season],\n", " columns=[\"level\", \"slope\", \"seasonal\"],\n", " index=aust.index,\n", ")\n", "states2 = pd.DataFrame(\n", " np.c_[fit2.level, fit2.trend, fit2.season],\n", " columns=[\"level\", \"slope\", \"seasonal\"],\n", " index=aust.index,\n", ")\n", "fig, [[ax1, ax4], [ax2, ax5], [ax3, ax6]] = plt.subplots(3, 2, figsize=(12, 8))\n", "states1[[\"level\"]].plot(ax=ax1)\n", "states1[[\"slope\"]].plot(ax=ax2)\n", "states1[[\"seasonal\"]].plot(ax=ax3)\n", "states2[[\"level\"]].plot(ax=ax4)\n", "states2[[\"slope\"]].plot(ax=ax5)\n", "states2[[\"seasonal\"]].plot(ax=ax6)\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Simulations and Confidence Intervals\n", "\n", "By using a state space formulation, we can perform simulations of future values. The mathematical details are described in Hyndman and Athanasopoulos [2] and in the documentation of `HoltWintersResults.simulate`.\n", "\n", "Similar to the example in [2], we use the model with additive trend, multiplicative seasonality, and multiplicative error. We simulate up to 8 steps into the future, and perform 1000 simulations. As can be seen in the below figure, the simulations match the forecast values quite well.\n", "\n", "[2] [Hyndman, Rob J., and George Athanasopoulos. Forecasting: principles and practice, 2nd edition. OTexts, 2018.](https://otexts.com/fpp2/ets.html)" ] }, { "cell_type": "code", "execution_count": 13, "metadata": { "execution": { "iopub.execute_input": "2023-12-14T14:44:16.176625Z", "iopub.status.busy": "2023-12-14T14:44:16.176108Z", "iopub.status.idle": "2023-12-14T14:44:17.189750Z", "shell.execute_reply": "2023-12-14T14:44:17.188959Z" } }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fit = ExponentialSmoothing(\n", " aust,\n", " seasonal_periods=4,\n", " trend=\"add\",\n", " seasonal=\"mul\",\n", " initialization_method=\"estimated\",\n", ").fit()\n", "simulations = fit.simulate(8, repetitions=100, error=\"mul\")\n", "\n", "ax = aust.plot(\n", " figsize=(10, 6),\n", " marker=\"o\",\n", " color=\"black\",\n", " title=\"Forecasts and simulations from Holt-Winters' multiplicative method\",\n", ")\n", "ax.set_ylabel(\"International visitor night in Australia (millions)\")\n", "ax.set_xlabel(\"Year\")\n", "fit.fittedvalues.plot(ax=ax, style=\"--\", color=\"green\")\n", "simulations.plot(ax=ax, style=\"-\", alpha=0.05, color=\"grey\", legend=False)\n", "fit.forecast(8).rename(\"Holt-Winters (add-mul-seasonal)\").plot(\n", " ax=ax, style=\"--\", marker=\"o\", color=\"green\", legend=True\n", ")\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Simulations can also be started at different points in time, and there are multiple options for choosing the random noise." ] }, { "cell_type": "code", "execution_count": 14, "metadata": { "execution": { "iopub.execute_input": "2023-12-14T14:44:17.193340Z", "iopub.status.busy": "2023-12-14T14:44:17.192832Z", "iopub.status.idle": "2023-12-14T14:44:18.362518Z", "shell.execute_reply": "2023-12-14T14:44:18.361587Z" } }, "outputs": [ { "data": { "image/png": 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q35ezZ882AZivv/662KZpmnnCCSeYfr9fXO/333/fBGA+/PDDYj/DMMzhw4en9H3FtFw43Y45aHnmmWewaNEi2z8gkcO/evVqTJkyBdnZ2WL/I488Eqeccgr+85//VDvWVVddZft9/vz5iMfjuOCCC7B3717xLz8/H7179xapaN9++y0KCwsxffr0aivN1pQO60piJBLB3r17cfzxxwOASKUDgKysLKxYsQI7duxI+3xkZWVh27ZtNaa+1YWiKGLlMB6Po6SkBIZh4JhjjrGNjbjwwgvRrl078Tut0m3cuBHAvvM/efJkZGZmiv1OOeUU9OvXL6X3AQAffvghdF1P670AwO9//3vbezvmmGNgmiYuv/xy22scdthhYsyNgfUal5aWory8HMOHD6/xHKbCJ598Ak3TMH36dFutxxVXXIFAIIB///vftv39fj9+97vfid9VVcWxxx5re48NvUfq44orrrDVUzVk7LRSDQCHHXYYsrKy0LdvXxx33HFiO/2c6nW78sorq31HLFq0CJdeeqltv5UrV2L37t245pprbDUiZ555Jvr06VNtvPvL0KFDsWLFCsRiMcTjcXz11VdilXvo0KEiehQKhbB69eqUokhA9e+x4cOHo7i4GBUVFXU+zzRNvPvuuzj77LNhmqbtO2/MmDEoLy+vdh9Pnjy5WoQkKysLP/74I9avX5/SeOujqe6LpmDSpEm2KNb48eNRUFBQ49+b2ojH43j//fdx9tln11hvS39TXC6X+FzFYjEUFxfD7/fjsMMOa/D3zYknnoj27dvj7bffFttKS0uxaNEiXHjhhWLb3Llz0bdvX/Tp08d2n5x44okAUC1NuyYael0bcp/WNYb6vi//85//ID8/HxdddJHY5nQ6cf3116OqqgqfffaZ2M/hcODqq68W+ymKgj/+8Y8pjYVpuXC6HXPQcuyxx9b4h2Tz5s0AEl+8yfTt2xcLFiyoVlye7JK3fv16mKaJ3r171/jalCq0YcMGAPW76pWUlGDGjBl46623sHv3bttj5eXl4ueHH34YkydPRpcuXTBo0CCcccYZmDRpEnr06FHn8QHg1ltvxSeffIJjjz0WvXr1wqmnnoqLL74YQ4cOrfe5r776Kh577DH8/PPPNmGSfF4A4JBDDrH9ToKptLQUwL7zX9O5S+WP+MiRI3H++edjxowZeOKJJzBq1CiMHTsWF198cUrOb8njy8zMhNvtFqmY1u3JNWH7w4cffoi//OUvWL16tS03v6E9dWq7j1VVRY8ePcTjROfOnau9Vrt27fD999+L3/fnHqmL5PukMcaemZmJLl26VNsG7LvX6qN3794ipc1KsrtcXd8Zffr0qdGNrj40TUNJSYltW25uLhRFwbBhw/Dee+9h9erVcDqdKC8vF9dgyJAh2LFjBzZt2oTCwkIYhpGySKrrsxkIBGp93p49e1BWVoYXX3wRL774Yo37JH9v1fTdcN999+Hcc8/FoYceiiOOOAKnnXYaLr30Uhx55JEpjT+ZprovmoLk7ztJktCrV6+0bMT37NmDioqKev+exONxPPnkk3j22WdRWFiIWCwmHsvJyUlr3ITD4cD555+PN998E9FoFC6XC/Pnz4eu6zaRtH79evz000/Izc2t8TjJ90lNNPS6NuQ+TWcMyd+XmzdvRu/evasZklDqJX1vbN68GQUFBSL1najp+4RpXbBIYtoEySui8XgckiTho48+qtFxLPnLsD4uuOACfPHFF7j55psxYMAA+P1+xONxnHbaaTYb1gsuuADDhw/He++9h4ULF+KRRx7BQw89hPnz54s86dro27cv1q1bhw8//BAff/wx3n33XTz77LO4++67MWPGjFqf9/rrr2PKlCkYO3Ysbr75ZuTl5UFRFDzwwANCBFqpzYHN/K2Wa3+RJAnz5s3DV199hQ8++AALFizAZZddhsceewxfffVVvee+pvGlMubaxIx1AlIbS5cuxTnnnIMRI0bg2WefRUFBAZxOJ+bMmVOvcUZjkcp7bOg9Uh/p1FzURG1jb+p7rSn54osvMHr0aNu2wsJCdOvWzVaXpKoqsrOz0adPHwDAgAED4PV6sWzZMhQWFgJIrR4JaPj5ou+g3/3ud7XWUSQLnZqu+YgRI7Bhwwb861//wsKFC/G3v/0NTzzxBJ5//nlbhDdV9ue+2J/P88HOrFmzcNddd+Gyyy7D/fffj+zsbMiyjOnTp++XrffEiRPxwgsv4KOPPsLYsWPxzjvvoE+fPjjqqKPEPvF4HP3798fjjz9e4zGShU5NNPS6NuQ+TXcMLeG7hTl4YJHEtDi6du0KAFi3bl21x37++We0b9++Xovinj17wjRNdO/eHYceemid+wHAmjVralyxBhKrYJ9++ilmzJiBu+++W2yvLSWloKAA11xzDa655hrs3r0bRx99NGbOnClEUl2RCZ/PhwsvvBAXXnghNE3Deeedh5kzZ+L222+v1Wp23rx56NGjB+bPn287dk1NLVOBzn9N76+ma1Ibxx9/PI4//njMnDkTb775Ji655BK89dZbDZpspQKtuic7EiVHPWri3XffhdvtxoIFC2zRrjlz5lTbN9XIkvU+tkYSNU1DYWFhrfdbfTTkHkmXphp7U2EdL6UNEevWrROP10ZN1/Soo46q5uqWn58PADj66KOFEHK5XDjhhBPEMRwOBwYPHozly5ejsLAQeXl5dX4HpUtNY83NzUVGRgZisdh+XxtySZs6dSqqqqowYsQI3HvvvU32ua2Ndu3a1egulsrnuSHR3+TvO9M08euvv6YVRcvNzUUgEMCaNWvq3G/evHkYPXo0Xn75Zdv2srIyW8Q83fcxYsQIFBQU4O2338awYcPw3//+F3feeadtn549e+K7777DSSed1OAoeUNJ5z5tjLF17doV33//PeLxuC2a9PPPP4vH6f+ffvqpzdYfSO/vHdMy4ZokpsVRUFCAAQMG4NVXX7X9kVyzZg0WLlyIM844o95jnHfeeVAUBTNmzKi2smSapkjTOvroo9G9e3fMnj272h9keh6tWCUfZ/bs2bbfY7GYLfUOSDSf7Nixoy19y+fzVdsPQLXUMVVV0a9fP5imWWdtT03jW7FiBb788stan1MX1vNvHeeiRYuwdu3aep9fWlpa7VyRw14qFrMNhQTv559/LrbFYrFa0zqsKIoCSZJsq9SbNm2q0enJ5/OlZA178sknQ1VVPPXUU7bz8fLLL6O8vFw45qVDQ++RdGmKsTclxxxzDPLy8vD888/b7rGPPvoIP/30U73jrematmvXDieffLLtH4lQh8OB4447DsuXL8fy5curOY4NGTIEn3/+Ob766qv9ToVMZayKouD888/Hu+++W+MEfc+ePSkdO/n+8vv96NWrV5N+bmujZ8+eKC8vt6VPFRUVpdSKgBbR0rFw/sc//oHKykrx+7x581BUVFRvBoAVWZYxduxYfPDBB1i5cmW1x61/U5K/I+fOnVvNrj7d9yHLMsaPH48PPvgAr732GgzDsKXaAYlsh+3bt+Oll16q9vxwOCzcLZuCdO7ThlzDZM444wzs3LnTVqdlGAaefvpp+P1+jBw5UuxnGAaee+45sV8sFsPTTz/d4NdmWgYcSWJaJI888ghOP/10nHDCCbj88suFBXhmZma1nhQ10bNnT/zlL3/B7bffjk2bNmHs2LHIyMhAYWEh3nvvPVx55ZW46aabIMsynnvuOZx99tkYMGAApk6dioKCAvz888/48ccfsWDBAgQCAYwYMQIPP/wwdF1Hp06dsHDhQpFKQ1RWVqJz584YP348jjrqKPj9fnzyySf4+uuvbT19Bg0ahLfffhs33ngjBg8eDL/fj7PPPhunnnoq8vPzMXToUHTo0AE//fQT/vrXv+LMM8+s0xb3rLPOwvz58zFu3DiceeaZKCwsxPPPP49+/fqhqqqqQef/gQcewJlnnolhw4bhsssuQ0lJiejPU98xX331VTz77LMYN24cevbsicrKSrz00ksIBAIpCdyGcvjhh+P444/H7bffjpKSEmRnZ+Ott96CYRj1PvfMM8/E448/jtNOOw0XX3wxdu/ejWeeeQa9evWyTdKAxPX75JNP8Pjjj6Njx47o3r27rViZyM3Nxe23344ZM2bgtNNOwznnnIN169bh2WefxeDBg21Fx6nS0HskXZpi7E2J0+nEQw89hKlTp2LkyJG46KKLhAV4t27dcMMNN9T5/FSvqZVhw4aJIvdkITRkyBA88MADYr/GpLaxPvjgg1i8eDGOO+44XHHFFejXrx9KSkqwatUqfPLJJ9Xqq2qiX79+GDVqFAYNGoTs7GysXLlStDQ40EycOBG33norxo0bh+uvvx6hUAjPPfccDj300HrrIgcMGABFUfDQQw+hvLwcLpcLJ554IvLy8mp9TnZ2NoYNG4apU6di165dmD17Nnr16oUrrrgirXHPmjULCxcuxMiRI4XFdlFREebOnYtly5YhKysLZ511Fu677z5MnToVQ4YMwQ8//IA33nijWu1qz549kZWVheeffx4ZGRnw+Xw47rjjaqwnIy688EI8/fTTuOeee9C/f/9q1ueXXnop3nnnHVx11VVYvHgxhg4dilgshp9//hnvvPMOFixY0CRN3olU79OGvPdkrrzySrzwwguYMmUKvvnmG3Tr1g3z5s3D8uXLMXv2bPGdefbZZ2Po0KG47bbbsGnTJvTr1w/z58+vcTGTaWUcGBM9hkkdsh2uzyL6k08+MYcOHWp6PB4zEAiYZ599trl27VrbPmQHS1bAybz77rvmsGHDTJ/PZ/p8PrNPnz7mtddea65bt86237Jly8xTTjnFzMjIMH0+n3nkkUeaTz/9tHh827Zt5rhx48ysrCwzMzPTnDBhgrljxw6b/Ws0GjVvvvlm86ijjhLHOeqoo8xnn33W9lpVVVXmxRdfbGZlZdkstV944QVzxIgRZk5OjulyucyePXuaN998s1leXl7neYrH4+asWbPMrl27mi6Xyxw4cKD54YcfVrOIJVvlRx55pNoxrO/Deu769u1rulwus1+/fub8+fNrteW1smrVKvOiiy4yDznkENPlcpl5eXnmWWedZa5cubLO16ztWk6ePNn0+XzVXmfkyJHV7LA3bNhgnnzyyabL5TI7dOhg3nHHHeaiRYtSsgB/+eWXzd69e5sul8vs06ePOWfOnBrthn/++WdzxIgRpsfjMQEI6+HaLMj/+te/mn369DGdTqfZoUMH8+qrr65mN1/Te6lpnA29R0yzbgvw2j6L+zP2rl271mgnXdM4kqnrXjXN2u+Vt99+2xw4cKDpcrnM7Oxs85JLLjG3bdtW43Ot1HZN64LsjR0OhxkMBm2PFRcXm5IkmQDMFStWVHtuqvd+TfdUXWPdtWuXee2115pdunQxnU6nmZ+fb5500knmiy++KPYhy+u5c+dWG9df/vIX89hjjzWzsrJMj8dj9unTx5w5c6apaVq95yOZxrgvFi5caB5xxBGmqqrmYYcdZr7++uspWYCbpmm+9NJLZo8ePUxFUWyf/9oswP/5z3+at99+u5mXl2d6PB7zzDPPNDdv3mw7ZioW4KZpmps3bzYnTZpk5ubmmi6Xy+zRo4d57bXXilYNkUjE/NOf/mQWFBSYHo/HHDp0qPnll19WG5tpJlo09OvXz3Q4HDY76tq+i+PxuNmlSxcTgPmXv/yl2uOmmbDBfuihh8zDDz/cdLlcZrt27cxBgwaZM2bMqPe7pDGuayr3aV3vPdXvS3qtqVOnmu3btzdVVTX79+9fo6V3cXGxeemll5qBQMDMzMw0L730UvPbb79lC/BWjmSaXMXGMAzDMAyTzJIlSzB69GjMnTsX48ePb+7hMAxzAOGaJIZhGIZhGIZhGAsskhiGYRiGYRiGYSywSGIYhmEYhmEYhrHANUkMwzAMwzAMwzAWOJLEMAzDMAzDMAxjgUUSwzAMwzAMwzCMhVbfTDYej2PHjh3IyMiAJEnNPRyGYRiGYRiGYZoJ0zRRWVmJjh07QpZrjxe1epG0Y8cOdOnSpbmHwTAMwzAMwzDMQcLWrVvRuXPnWh9v9SIpIyMDQOJEBAKBZh4NwzAMwzAMwzDNRUVFBbp06SI0Qm20epFEKXaBQIBFEsMwDMMwDMMw9ZbhsHEDwzAMwzAMwzCMBRZJDMMwDMMwDMMwFlgkMQzDMAzDMAzDWGj1NUmpYJomDMNALBZr7qEwDNOCUBQFDoeD2wswDMMwTCujzYskTdNQVFSEUCjU3ENhGKYF4vV6UVBQAFVVm3soDMMwDMM0Em1aJMXjcRQWFkJRFHTs2BGqqvKKMMMwKWGaJjRNw549e1BYWIjevXvX2ZSOYRiGYZiWQ5sWSZqmIR6Po0uXLvB6vc09HIZhWhgejwdOpxObN2+Gpmlwu93NPSSGYRiGYRoBXvYEePWXYZgGw98fDMMwDNP64L/uDMMwDMMwDMMwFlgkMQzDMAzDMAzDWGCR1AjE4jEs2bQE//zhn1iyaQli8ZZjJd6tWzfMnj37gLzWlClTMHbs2APyWo1FcXEx8vLysGnTpv06TirvfdSoUZg+ffp+vU5Dac7XPphIPg/HH3883n333eYbEMMwDMMwzQKLpP1k/k/z0e3Jbhj96mhcPP9ijH51NLo92Q3zf5rfZK9Z24R7yZIlkCQJZWVlDT62JEl4//3369zn+OOPx1VXXWXb9vzzz0OSJLzyyivVxjp8+HAAwJNPPlnt8cYYT1Myc+ZMnHvuuejWrVuzjYFpPv785z/jtttuQzweb+6hMAzDMAxzAGGRtB/M/2k+xr8zHtsqttm2b6/YjvHvjG9SodScjB49GkuWLLFtW7x4Mbp06VJt+5IlS3DiiScCADIzM5GVlXVgBpmErutpPycUCuHll1/G5Zdf3gQjYloCp59+OiorK/HRRx8191AYhmEYhjmAsEiqgaAWrPVfxIgASKTYTft4GkyY1Z5P26Z9PM2WelfbMZuSd999F4cffjhcLhe6deuGxx57rNZ9KVoybtw4SJJUa/Rk9OjRWLduHXbu3Cm2ffbZZ7jttttsIqmwsBCbN2/G6NGjAVSPgI0aNQrXX389brnlFmRnZyM/Px/33ntvSuP517/+haOPPhputxs9evTAjBkzYBiGeFySJDz33HM455xz4PP5MHPmTJSWluKSSy5Bbm4uPB4PevfujTlz5tR6Pv7zn//A5XLh+OOPF9tisRguv/xydO/eHR6PB4cddhiefPJJ2/NisRhuvPFGZGVlIScnB7fccgtM036fBINBTJo0CX6/HwUFBXVeFyuSJOGFF17AWWedBa/Xi759++LLL7/Er7/+ilGjRsHn82HIkCHYsGGDeE5Nkcfp06dj1KhRKb0mkOgJdO+99+KQQw6By+VCx44dcf3114vHo9EobrrpJnTq1Ak+nw/HHXec7V4oLi7GRRddhE6dOsHr9aJ///745z//aXuNefPmoX///vB4PMjJycHJJ5+MYDDx+YjH47jvvvvQuXNnuFwuDBgwAB9//LF47qZNmyBJEubPn4/Ro0fD6/XiqKOOwpdffpnWGJJRFAVnnHEG3nrrrZTPFcMwDMMwLR8WSTXgf8Bf67/z3zkfALB0y9JqESQrJkxsq9iGpVuWim3dnuxW4zGbim+++QYXXHABJk6ciB9++AH33nsv7rrrrlpT3r7++msAwJw5c1BUVCR+T2bo0KFwOp1YvHgxAGDt2rUIh8O4/PLLUVxcjMLCQgCJ6JLb7cYJJ5xQ6xhfffVV+Hw+rFixAg8//DDuu+8+LFq0qM7xLF26FJMmTcK0adOwdu1avPDCC3jllVcwc+ZM27HvvfdejBs3Dj/88AMuu+wy3HXXXVi7di0++ugj/PTTT3juuefQvn37Wse2dOlSDBo0yLYtHo+jc+fOmDt3LtauXYu7774bd9xxB9555x2xz2OPPYZXXnkFf//737Fs2TKUlJTgvffesx3n5ptvxmeffYZ//etfWLhwIZYsWYJVq1bVOhYr999/PyZNmoTVq1ejT58+uPjii/GHP/wBt99+O1auXAnTNHHdddeldKxUeffdd/HEE0/ghRdewPr16/H++++jf//+4vHrrrsOX375Jd566y18//33mDBhAk477TSsX78eABCJRDBo0CD8+9//xpo1a3DllVfi0ksvxf/+9z8AQFFRES666CJcdtll+Omnn7BkyRKcd955Qlw++eSTeOyxx/Doo4/i+++/x5gxY3DOOeeI4xN33nknbrrpJqxevRqHHnooLrroIiGe6xtDbRx77LFYunRpnfswDMMwDNO6aNPNZPeHosqiRt0vXT788EP4/XaBFYvZDSMef/xxnHTSSbjrrrsAAIceeijWrl2LRx55BFOmTKl2zNzcXABAVlYW8vPza31tn8+HY489FkuWLMFFF12EJUuWYNiwYXC5XBgyZAiWLFmC7t27Y8mSJTjhhBPgcrlqPdaRRx6Je+65BwDQu3dv/PWvf8Wnn36KU045pdbxzJgxA7fddhsmT54MAOjRowfuv/9+3HLLLeJYAHDxxRdj6tSp4vctW7Zg4MCBOOaYYwCg3jqjzZs3o2PHjrZtTqcTM2bMEL93794dX375Jd555x1ccMEFAIDZs2fj9ttvx3nnnQcgUa+1YMEC8Zyqqiq8/PLLeP3113HSSScBSIjFzp071zkeYurUqeK1br31Vpxwwgm46667MGbMGADAtGnTbO+7MdiyZQvy8/Nx8sknw+l04pBDDsGxxx4rHpszZw62bNkiztdNN92Ejz/+GHPmzMGsWbPQqVMn3HTTTeJ4f/zjH7FgwQK88847OPbYY1FUVATDMHDeeeeha9euAGATYY8++ihuvfVWTJw4EQDw0EMPYfHixZg9ezaeeeYZsd9NN92EM888E0DiPjn88MPx66+/ok+fPvWOoTY6duyIrVu3Ih6Pc08khmEYhmkjsEiqgarbq2p9TJEVAEBBRkFKx7Lut2napv0al5XRo0fjueees21bsWIFfve734nff/rpJ5x77rm2fYYOHYrZs2cjFotBUZR6X2fLli3o16+f+P2OO+7AHXfcgVGjRmHu3LkAEnVHlLo1cuRILFmyBFOnTsWSJUtwxRVX1Hn8I4880vZ7QUEBdu/eXedzvvvuOyxfvtwWOYrFYohEIgiFQvB6vQAgxBBx9dVX4/zzz8eqVatw6qmnYuzYsRgyZEitrxMOh+F2u6ttf+aZZ/D3v/8dW7ZsQTgchqZpGDBgAACgvLwcRUVFOO6448T+DocDxxxzjIiKbNiwAZqm2fbJzs7GYYcdJn6fNWsWZs2aJX5fu3YtDjnkEAD2c9ahQwcAdkHRoUMHRCIRVFRUIBAI1Pr+aqOm154wYQJmz56NHj164LTTTsMZZ5yBs88+Gw6HAz/88ANisRgOPfRQ23Gi0ShycnIAJK7PrFmz8M4772D79u3QNA3RaFRcq6OOOgonnXQS+vfvjzFjxuDUU0/F+PHj0a5dO1RUVGDHjh0YOnSo7fhDhw7Fd999Z9tmPTcFBYnP3u7du9GnT596x1AbHo8H8Xgc0WgUHo8nzbPJMAzDME0P1V47nc5mHknrgUVSDfhUX737DD9kODoHOmN7xfYa65IkSOgc6IzhhwxP67gpj9HnQ69evWzbtm2rPf2voXTs2BGrV68Wv2dnZwNIiLSZM2di+/btWLJkiVihHzlyJF544QVs2LABW7duFaYNtZH8YZYkqV4nsaqqKsyYMUNEaqxYRY3PZz/fp59+OjZv3oz//Oc/WLRoEU466SRce+21ePTRR2t8nfbt26O0tNS27a233sJNN92Exx57DCeccAIyMjLwyCOPYMWKFXWOOV2uuuoqES0CYItoWc+ZJEm1bqPzKMtytZqouowsanpth8OBdevW4ZNPPsGiRYtwzTXX4JFHHsFnn32GqqoqKIqCb775pprwpmjnI488gieffBKzZ89G//794fP5MH36dGiaBiBR+7No0SJ88cUXWLhwIZ5++mnceeedWLFihRBaqVDXeahvDLVRUlICn8/HAolhGIY5KNF1Hdu3b4fT6USnTp2aezitBhZJDUSRFTx52pMY/854SJBsQklCYnI2+7TZIvLUHPTt2xfLly+3bVu+fDkOPfTQWqNITqfTlrbncDiqiTEAGDJkCFRVxbPPPitqPQBg8ODB2LNnD/7+97+LtLz9IXk8AHD00Udj3bp1NY6rPnJzczF58mRMnjwZw4cPx80331yrSBo4cCBef/1127bly5djyJAhuOaaa8Q2q0lCZmYmCgoKsGLFCowYMQIAYBgGvvnmGxx99NEAgJ49e8LpdGLFihUiOlRaWopffvkFI0eOBJAQoyRI95fc3FysWbPGtm316tW1rjbV9toejwdnn302zj77bFx77bXo06cPfvjhBwwcOBCxWAy7d+8Wdu/JLF++HOeee66IdMbjcfzyyy+2KKUkSRg6dCiGDh2Ku+++G127dsV7772HG2+8ER07dsTy5cvF+aFjpnN/pTKGmlizZg0GDhyY8uswDMMwzIGEFj4b4uTL1E6zJth369YNkiRV+3fttdcCSBRaX3vttcjJyYHf78f555+PXbt2NeeQbZzX9zzMu2AeOgXsqr1zoDPmXTAP5/WtHuk4kPzpT3/Cp59+ivvvvx+//PILXn31Vfz1r3+11WUk061bN3z66afYuXNntSiKFY/Hg+OPPx5PP/00hg4dKkSXqqq27fsb9q1pPHfffTf+8Y9/YMaMGfjxxx/x008/4a233sKf//znOo91991341//+hd+/fVX/Pjjj/jwww/Rt2/fWvcfM2YMfvzxR9t56N27N1auXIkFCxbgl19+wV133VXN4GLatGl48MEH8f777+Pnn3/GNddcY+td5ff7cfnll+Pmm2/Gf//7X6xZswZTpkxpsnqXE088EStXrsQ//vEPrF+/Hvfcc0810VQfr7zyCl5++WWsWbMGGzduxOuvvw6Px4OuXbvi0EMPxSWXXIJJkyZh/vz5KCwsxP/+9z888MAD+Pe//w0gcd4oUvTTTz/hD3/4g+2zvGLFCsyaNQsrV67Eli1bMH/+fOzZs0dcn5tvvhkPPfQQ3n77baxbtw633XYbVq9ejWnTpqX8HuobQ20sXboUp556alrni2EYhmEOFNaMCBZKjUeziqSvv/4aRUVF4h+5mk2YMAEAcMMNN+CDDz7A3Llz8dlnn2HHjh01plg1J+f1PQ+bpm3C4smL8eZ5b2Lx5MUonFbY7AIJSERc3nnnHbz11ls44ogjcPfdd+O+++6r0bSBeOyxx7Bo0SJ06dKl3tXz0aNHo7KyspqV9MiRI1FZWSmsv/eHmsYzZswYfPjhh1i4cCEGDx6M448/Hk888YQo+K8NVVVx++2348gjj8SIESOgKEqd1s79+/cX55D4wx/+gPPOOw8XXnghjjvuOBQXF9uiSkBCnF566aWYPHmySMkbN26cbZ9HHnkEw4cPx9lnn42TTz4Zw4YNq+ak11iMGTMGd911F2655RYMHjwYlZWVmDRpUlrHyMrKwksvvYShQ4fiyCOPxCeffIIPPvhApMLNmTMHkyZNwp/+9CccdthhGDt2LL7++msRKfvzn/+Mo48+GmPGjMGoUaOQn59vsyUPBAL4/PPPccYZZ+DQQw/Fn//8Zzz22GM4/fTTAQDXX389brzxRvzpT39C//798fHHH+P//u//0Lt375TfQ31jqInt27fjiy++aHQjDIZhGIZpLFgYNQ2SmVys0IxMnz4dH374IdavX4+Kigrk5ubizTffxPjx4wEAP//8s+gLY+1dUxcVFRXIzMxEeXl5tSL2SCSCwsJCdO/evcYCfYb597//jZtvvhlr1qxhZ7M2yK233orS0lK8+OKLte7D3yMMwzBMc1JUVIRoNAoAyMvLq9eQqK1TlzawctDUJGmahtdffx033ngjJEnCN998A13XcfLJJ4t9+vTpg0MOOaROkRSNRsWNAiROBMM0lDPPPBPr16/H9u3b0aVLl+YeDnOAycvLw4033tjcw2AYhmGYGjFN02Z4xVGlxuOgWRp///33UVZWJlLBdu7cCVVVkZWVZduvQ4cO2LlzZ63HeeCBB5CZmSn+8cSW2V+mT5/O91Eb5U9/+pOwWWcYhmGYg414PC6apjONy0Ejkl5++WWcfvrp1Zp3psvtt9+O8vJy8W/r1q2NNEKGYRiGYRiGOXjQNM3W5oMjSY3HQZFut3nzZnzyySeYP3++2Jafnw9N01BWVmaLJu3atQv5+fm1HsvlcsHlcjXlcBmGYRiGYRim2WFR1HQcFJGkOXPmIC8vD2eeeabYNmjQIDidTnz66adi27p167BlyxaccMIJjfr6B5F3BcMwLQz+/mAYhmGaC0q1o1Ysyb0lmYbT7JGkeDyOOXPmYPLkyXA49g0nMzMTl19+OW688UZkZ2cjEAjgj3/8I0444YSUne3qg3r4hEIheDyeRjkmwzBti1AoBAD73ROMYRiGYdLBNE0hipxOJ2KxGIukRqTZRdInn3yCLVu24LLLLqv22BNPPAFZlnH++ecjGo1izJgxePbZZxvttRVFQVZWFnbv3g0A8Hq9kCSp0Y7PMEzrxTRNhEIh7N69G1lZWWIVj2EYhmEOBKZpwjAMSJIEp9OJSCTCIqkROaj6JDUF9Xmhm6aJnTt3oqys7MAPjmGYFk9WVhby8/N5gYVhGIY5oMRiMRQVFSEejyM7Oxt79+6FJEno2rVrcw/toKbF9UlqLiRJQkFBAfLy8rj4jWGYtHA6nRxBYhiGYZoFSq9TFAWqqgJILP7rus4p4I1AmxdJhKIoPNlhGIZhGIZhWgSGYcA0TUiSBIfDAVmWbY1lmf3joHC3YxiGYRiGYRgmNageCUgs9MuyLBb7OTOqcWCRxDAMwzAMwzAtiGTTBgBcG9vIsEhiGIZhGIZhmBaEVSRRBIkjSY0LiySGYRiGYRiGaUHE43EhkqjPKDeUbVxYJDEMwzAMwzBMCyIej9tMG4B96XZs3tA4sEhiGIZhGIZhmBaCaZqIx+OIxWI2wwYSSyySGgcWSQzDMAzDMAzTQiCRBMAmkjjdrnFhkcQwDMMwDMMwLQSr/bcsy5BlWfwMcCSpsWCRxDAMwzAMwzAtBEq1kyRJCCOA0+0aGxZJDMMwDMMwDNNCsNp/kzAC9hk3xGIxmKbZXMNrNbBIYhiGYRiGYZgWgNW0IVkkWX+mdDym4bBIYhiGYRiGYZgWAEWIku2/Adh+Z/OG/YdFEsMwDMMwDMO0ACiSFI/HIUmScLQjuFdS48EiiWEYhmEYhmFaAFb772TjBoBtwBsTFkkMwzAMwzAM0wKgeiTAbv9NkEjiSNL+46h/F4ZhGIZhGIZJoOs6du7cCYfDgYKCguYeTpvBNE2YpilMGxRFEel1BP3Oxg37D4skhmEYhmEYJmV0XUcsFuOUrgMMmTZYRVIy3Cup8WCRxDAMwzAMw6SMruu2n51OZzOOpu1AkSQSQFZBFAqFIMsyGzc0IiySGIZhGIZhmJSxiiSejB84SCQBsEWS4vE4SktL4XA4EAgEAHC6XWPAIolhGIZhGIZJGatI4pS7A0c8HheRJKtIikQiKCkpgSzLyMrKEvsy+we72zEMwzAMwzApYxVGVsHENB3WVDtqJEvOduFwGEBCGGmaJvZn9g8WSQzDMAzDMExKxGIxTuVqBkj01NQjKRqNiv2sKXh8nfYPFkkMwzAMwzBMSiRHjjiSdGBIFknWHkkUSQIATdOEeQNHk/YPFkkMwzAMwzBMSiSLIp6IHxhqc7YzTdMWSTJNUzzGkaT9g0USwzAMwzAMkxIkkiiti40bDgxUi0SilISQpmm2axCNRtkGvJFgkcQwDMMwDMOkBIkkl8sFgEXSgcIaSaop1U7TNGiaBsMwhIDia7N/sEhiGIZhGIZhUoIm3m63GwCndB0IrBEhcrajSB6Jo+LiYhQXF8MwDBFJ4muzf7BIYhiGYRiGYeolHo9XiyRZ62SYpoFS7KzpdtYeSWT7HYvFoOu6iCTxddk/WCQxDMMwDMMw9aLrOkzThCzLcLlcIuWL07qaFqtISk63i0QiInpkGAbC4TDXJDUSLJIYhmEYhmGYeqEoEkUqOK3rwGC1/yaRKkmSaB5L7nbRaBSRSEQIKBZJ+weLJIZhGIZhGKZeSCQ5nU4A4EjSASLZ2U5RFEiSJIwaotEoVFWFaZrQdV2II74u+weLJIZhGIZhGKZekkUS24A3PXWZNoRCIei6DkmSUFVVhWg0atufI0n7B4skhmEYhmEYpl6SRRIbBDQ91ma9sVjMJpIikQh0XYdhGDAMQxg30HWKx+MsYPcDFkkMwzAMwzBMnZimKSbpnG534LCKpHg8DkmSxHmPRqPQdV1cFyBhCU4/W1P0mPRxpPuEwsJCLF26FJs3b0YoFEJubi4GDhyIE044QXjmMwzDMAzDMK2HWCwmnNUogkQRDTZuaDpqEkmKoiAejyMSiSAajUKSJDgcDsiyDF3XoWkaFEVBLBazNZdl0iPls/bGG2/gySefxMqVK9GhQwd07NgRHo8HJSUl2LBhA9xuNy655BLceuut6Nq1a1OOmWEYhmEYhjmAUAqXoigikkH/52hF00GpjGT/7XQ6IcsyDMOApmnClp220zan04lYLMbXZj9ISSQNHDgQqqpiypQpePfdd9GlSxfb49FoFF9++SXeeustHHPMMXj22WcxYcKEJhkwwzAMwzAMc2ChhqWUamf9mWuSmobkKBLZf8uyjFAohEgkglgsBofDYYskUcQJ4Cjf/pCSSHrwwQcxZsyYWh93uVwYNWoURo0ahZkzZ2LTpk2NNT6GYRiGYRimmUk2bQA43a6psYpPqjuifySQDMOA4lTwv93/w6aSTWjvbo+jwkfB7/cjGo1yvdh+kJJIqksgJZOTk4OcnJwGD4hhGIZhGIY5uCAhZBVJ1nQ7qldiGo/a6pEAIBwOwzAMfFn2JebsnINivVjs+/IHL+OBkQ9gdP5oFkn7Qdp386pVq/DDDz+I3//1r39h7NixuOOOO0QolmEYhmEYhmkdmKYJwzAgSRJUVRXbrfVJFGliGo/a7L9N00QkEsGnOz7Fo1sftQkkANgV2YXLF1yOjzd/zKmQ+0HaIukPf/gDfvnlFwDAxo0bMXHiRHi9XsydOxe33HJLow+QYRiGYRiGaT6oB481kkGQSOLJeOND51SSJCGYyLWuKlSFZzc+W+fz7/vffdANFq8NJW2R9Msvv2DAgAEAgLlz52LEiBF488038corr+Ddd99t7PExDMMwDMMwzQg5qMmyXE0kkb00p3U1LiSKSCBZRWooFMLXu77GXn1v7c+HiaJQEZZvW36ghtzqSFskUd4pAHzyySc444wzAABdunTB3r21XyyGYRiGYRim5UGpdDX12yEXNU63a1yskbl4PC5qvmRZRjQaxc7gzpSOsyu0q6mG2OpJWyQdc8wx+Mtf/oLXXnsNn332Gc4880wAiSazHTp0aPQBMgzDMAzDMM1HTaYNRHJkiWkckk0bgH2pjdFoFFlKVkrHyXXnNvrY2gppi6TZs2dj1apVuO6663DnnXeiV69eAIB58+ZhyJAhjT5AhmEYhmEYpnkwTbNG+2+CJu5sA9641CSSKPVO0zT09fVFjqN2N2kJEgq8BRicN5hTIRtIShbgVo488kibux3xyCOP8GoCwzAMwzBNwt69e+FwOJCVldXcQ2lTWJ3trCJJ0zQoiiK28US8cbHWJFnrkeLxODRNQ9yIY2rBVDy69dFaj3HPcfdAlmTEYjGeozeABhvaa5qGbdu2YcuWLdiyZQt2796NoqKixhwbwzAMwzAMIpEINE1DKBRq7qG0OWKxmOjRYzVpqKioQEVFBbvbNQGmadoiSaZpCpEUjUYRDoehaRqOzzweE7MnVnt+tiMbz4x8Bmf2SJTEsIBtGGlHkn755Rdcfvnl+OKLL2zb6QLyhWAYhmEYpjGxpnIZhlGjgQDTNJBIcjgcIhphGAbC4TBkWYbL5RL7MY2DtQaJDNOsBhmGYYh5t1fx2p7bB31wW5fbcELHEzgVcj9J+1tm6tSpcDgc+PDDD1FQUCAuGsMwDMMwTFPAk7zmw+psZzUOiMViiMViQrBaHdiY/SM51Y7S7SRJgq7r0DQNuq4jHo9jfWg9AMANNyKIAADisTjC4TCysrKgaZotKsWkTtoiafXq1fjmm2/Qp0+fphgPwzAMwzCMDWuUgiNJBxYSqNZzbrX71nUdsixzul0jkpxqZ5qmqEeiVDuqFduobQQADFAH4CvtK1SiEtFoFIZhiGvCiwwNI+1vmX79+nE/JIZhGIZhDhjJ6XbMgaE2ZztN02z7ELqui/Q7puEkN5K1nuNoNCpEUjAWxA59BwDgVM+pGKoNhQ8+xONxRCIRkR7JkaSGkXZM9KGHHsItt9yCJUuWoLi4WBTu0T+GYRiGYZjGgtK4mAOP1dlOVVUAiethFaqmaXLtSyOSLIro3qfapEgkIs7ztvA2SJDQTmqHAncBMpABGQk3O8MwhMDlerGGkXYk6eSTTwYAnHTSSbbtbNzAMAzDMExjQ0Xq1t+ZA0M8HrfZTwP7jBwIXdfhdDqrXSemYdA5JNMGaz0SiR+KJPVw9cD9nvtRKVdCkiSR9miaJqLRqLhOvMjQMNIWSYsXL26KcTAMwzAMw1QjWRTxYuyBw+psRzVJyUYANIkH7LVKTMNIbhyb7GxHRg4kYBVTQZ6SB1VV8bn5OXZgB07XTkfvWG/xPP7MNIy0RdLIkSObYhwMwzAMwzDVIJFkXSVnDgy6rot0Okqpo3SvNWvWQFEUHHvssbZ6JWb/sNYjUaopXQPqkURpkFbnwezsbPy65VdswiYMMAbY0vJYJDWMBtnDlJWV4eWXX8ZPP/0EADj88MNx2WWXITMzs1EHxzAMwzBM24YmeqqqIhKJcOrQAYQm4VYDAMMwUFpaCk3TYBgGYrGYEEkcSdp/kuuRYrGYKGmxOtvt1nbjyT1PoqvUFRc7LkZWVhYypUzABMpiZbb0R0rbo+vIpEbaxg0rV65Ez5498cQTT6CkpAQlJSV4/PHH0bNnT6xataopxsgwDMMwTBvFKpIAXhU/UJAgAvY529Fku6qqStTMlJaWisf52uwfVtMGSrezomkaNE1L9EcKr8fW2FZsim+CoigIBALIkrMAAMVGsUjNq8khj0mNtCNJN9xwA8455xy89NJLIj/VMAz8/ve/x/Tp0/H55583+iAZhmEYhml70Eo6sE8k8ar4gcHqbEciKB6PQ9d1BINBYSIQiURE7QtPxPePZNMGqkkCEufeKpI2RhP9kQ6RD0FGRgY8Hk9CJMWAClSIKJ/L5YJhGNxfrAGkfbZWrlxpE0hAIhfylltuwTHHHNOog2MYhmEYpu1CqUayLMPpdPKq+AHE6mxnXRQn5zSayAeDQXE9OJK0f9Rk2kD3v2maos7INE1siG4AAHRzdENmZiY2btyIDDMDQEIkRaNRRCIR+P1+27GZ1Ek73S4QCGDLli3Vtm/duhUZGRmNMiiGYRiGYRiraYPVhpptwJseclCziqRIJIJoNCr+xWIx6LouIknc02r/SE61s9qtW62/o0YUW/TEXLyHqwcMw0A0GkU7pR0AoBzltv0BFrANIW2RdOGFF+Lyyy/H22+/ja1bt2Lr1q1466238Pvf/x4XXXRRU4yRYRiGYZg2CIkhmqRbe/UwTQtN0MnZzjRNaJqGUCgkxFAsFkM0GoVhGGIfFrANpyaRRJEkTdPEud4U2QQDBrzwopO7E0zThKIoyFayAQBhhBHVo9A0TbgSsnhNn7TT7R599FFIkoRJkybZCvquvvpqPPjgg40+QIZhGIZh2iZWi2MAYsLH6XZND517p9MJWZbFhL28vNyWFkY1SWzRvn9Y00hraiRL0TsA+DXyKwCgi9wFqqrCNM2EDbgrGzeFboIXXkimBF3X2QZ8P0hbJKmqiieffBIPPPAANmxI5EP27NkTXq+30QfHMAzDMEzbhSbjJJIorYujFU1Lbc52hmEgFAqJ7bqui7Q767VxuVzNM/AWTHIUyTRNkcooyzKCwaAwbTBNE+2kdjhEOUSIJKfTCYfDAT/21SCFw2Fbuh6THg22ufB6vejfv39jjoVhGIZhGAZAYpKXnG5H/+fUoabF6mxnNW3QdV2IJL/fj3A4LFzUHA6HsJ1m0ofuaauzHaXaAUA0GhXRvSHKEBzpPBKKQ4HD4YCiKFBVVThAArDVMwEcfW0IKYmk8847D6+88goCgQDOO++8OvedP39+owyMYRiGYZi2i7Ueg2qRuL7iwGBN9aJIEtXERCIRmDCxIbYBa4NrkSlnYmRkJDxuDwBO62ooyZEka+qitfaLHpMkCS7VBVmW4fF44HK54HK58B2+wzqsQ/9If3QPd0csFoMsyxxJagApiaTMzEwRRs3MzGzSATEMwzAMw+i6LgrSSRyxSDowxGIxIZIURRH9kaqqqvC/yv/hjeI3UBIrEfu//s/X8eCoBzEybySLpAZiFUnWKKosy8JV0DRNRIwIwuEwAIjPhtvtRmZmJtxuN3ZhF9ZiLQKxgPgMWY/PpE5KImnOnDk1/swwDMMwDNMU0GTb4XCIhVqKKLFIaloMw0A8HofT6YSiKCL97j+F/8HTu5+utv+u8C5M/Wgqnh31LM7rW3fGEVMdq2lDskgi0waqR/pXyb/w3+h/MUoZhXGucVBVFX6/HxkZGVBVFQEEAOxrKGsYhhC6pmmKzxJTP2lbgDMMwzAMwzQ1yfVIAGz9eDhi0XQkR/Hi8Tg0XcNTvzxV4/4mEhP8+/53H6Ja9EAOtVVgFUjWdDuqCYtEIqLn0UZtI8IIwyW74HQ6oaoqPB4PAoEAFEVBOznRK4kaylojSby4kB4pRZIGDhyYsvJctWrVfg2IYRiGYRjGGkkiKKpkXXlnGhers53VKGP5tuXYq++t/XkwURQqwldFX6FL5y4HZKythZqsv6lHFQCEQqGEi2A8hk36JgBAV6UrvF6viCT5/X7IsowcZw4QTYgkXdehaRo8Ho8QSRSNZeonJZE0duzYJh4GwzAMwzBMAmpWCthFEpBIubM6qjGNS7KzHf2+tWxrSs/fFdxlm+Az9WPtO0VihiJJhmEIm/Wd+k6EzTAccKCL2gVOpxMejwcZGRnC4S7bkQ1EgUpU2hrKUp0ZGXEw9ZPSt8s999zT1ONgGIZhGIYBANtKevLKtzXljml8rM52VpEUkAIpPb+9u30Tj7D1kexsZ3V2rKqqgqZpiMVi2KhtBAB0kjrB5Uy42Xm9XtGXyuv1IlvNhhyUEUccZUaZSNMDuFdSurDMZxiGYRjmoMI6SUyOSNDvXJPUNFid7RwOh3C26+HogXZKu1qfJ0FCga8Ag/MG82Q8DZJNG+jep/tf0zTouo54PI6fq34GAHRGZ/j9fiiKAq/XK6JDbrcbqlNFBjIgQ0a5UY5IJCI+K7ywkB4pRZLatWuXck1SSUlJ/TsxDMMwDMPUAvWDqal+graxSGoaaJJOTUpN00Q0GkU0HMXErIl4rvi5Wp874/gZUGSFr00aJJs20PmnebemaaiqqkI8Hhf1SIcoh8DtdsPlcgmxBEDUKF2Fq+CCCz7TJyJJdGwmdVISSbNnz27iYTAMwzAMwySgSISiKNUWaWlCyMYNTQPZf5Ozna7roonsMd5jMF2djld3v4rSWKl4TraSjUdOegSndT1NWFUzqWE1bQD2pZpSPVI4HIau6zAMA32VvlDjKno4e8DpdIoGsoTL5YLH44EHica+uq5D13XxOIuk9EhJJE2ePLmpx8EwDMMwDGNzV7MWmUciEciyLEQTp3Q1PlQPA+xzEozH4wiFQuL8D/IOQu+c3nhu73NYE1+DI6Qj8McOf8SI3BFwOByifoZJDatpAxk2UD1eOBxGNBoV9/pJ8kkY5RgFv9sPVVXh8/ng8XjEsTwej000GYYBTdNgGAZUVWXxmiYpiaSKigoEAgHxc13QfgzDMAzTUonFYqiqqgIAZGZmNvNo2hZWZzsSSbFYDKFQCLIsi0kgT/gaH9M0oeu6rR7JMAwEg0FomiZS8HQtUaO0RluTSOWChEgkIj4rLGBTJ7keibZJkiQsvE3TFGInHo/D7XbD6XTC5/PZFhI8Hg8URcFmbMYKrEB7tMdh+mFsdtJAUq5JKioqQl5eHrKysmqsT+J8R4ZhGKY1YU1TYQ4c1pV0SkEyDENEMmjlnCd8jU9NznbhcBihUEikgNE+ZOIQRhiapiEYDLKpRprUZtpAj1Gqo6Zp2BzdDEfcgYAzAI/HA7fbDbfbbavbo5qkiBLB2thadEEXhMNhYf3N4jU9UhJJ//3vf5GdnQ0AWLx4caMOYPv27bj11lvx0UcfIRQKoVevXpgzZw6OOeYYAImb5J577sFLL72EsrIyDB06FM899xx69+7dqONgGIZhGMI68YjFYtyA8QBCE0VrPRIJVmuUiSaYqRpLMfUTj8erOdtFo1GEQiEAsLmkDfQNRJdoFzjiif2sIokFbGokmzbE43FxT5NICoVCMAwDL1W9hDKzDNfiWnR1JBrJejwe2/0vyzKcTmeiV1Is0VA2Go1C13W43W6u40uTlETSyJEja/x5fyktLcXQoUMxevRofPTRR8jNzcX69evRrt0+i8mHH34YTz31FF599VV0794dd911F8aMGYO1a9fC7XY32lgYhmEYxoosyzzZawZoIk7GAQAQDoexcuVKFBcXo3PnzujXrx8ACIMBpnFINm2IxWKIRCKoqqoS9WDhcBiSJMGluKBCRRxxYRNOnxeOJKWGVSRZFwDItCEUCkHTNBRrxSgzyxI260pBwpzht2iSFUVR4Ha7kePIEQ1lNV0TbpEUBeTPTGo0qFV1JBLB999/j927d1f7A3LOOeekfJyHHnoIXbp0wZw5c8S27t27i59N08Ts2bPx5z//Geeeey4A4B//+Ac6dOiA999/HxMnTmzI8BmGYRimXmiFlicVBxaa0NGkfP78+bjrrruwd+9eAEB5eTl69eqF2267DRMmTOBr04iQs5qqqmKiHolEEI1Gq4kkaxSPIknWKB+lTDK1Q+eLFmSsUSRN0xCJRBAKhbDZ2AwA6IAOyPRkCoMGaz0S4Xa7kePKgRSUEEccpXopNE0DsO+68GcmNdIWSR9//DEmTZokvqyspFuT9H//938YM2YMJkyYgM8++wydOnXCNddcgyuuuAIAUFhYiJ07d+Lkk08Wz8nMzMRxxx2HL7/8skaRFI1GEY1Gxe/1GU0wDMMwTE3QSjqvih84kp3t5s+fjwkTJiAnJ0dMyBVFQVFREW666SaoqooLLrigOYfcarCee0p11HUdwWBQfAZonifLMhRFwaLYIuzADpxlnIXOsc6QJIkjsGlQVz0S1SLFYjFs1DcCALrIXeByueB2u+HxeGoUoS6XSzSUrUAFSmPVRRKTGmlL/D/+8Y+YMGECioqKbFaFlMeaDhs3bhT1RQsWLMDVV1+N66+/Hq+++ioAYOfOnQCADh062J7XoUMH8VgyDzzwADIzM8W/Ll26pPsWGYZhGIZXW5sB62q6JEmYNm2azfYbSIhXmkzecccdLGIbCatpg6IkGsLquo6qqiohjKLRqKgXy8jIwFZsxa/4FTuNndXS7XgyXjdW0wbAXsdFIokW+kUTWTnRRNbr9cLlctX4HeXz+eB2uxFAwm16r7ZXpFECnAqZDmmLpF27duHGG2+sJlwaQjwex9FHH41Zs2Zh4MCBuPLKK3HFFVfg+eefb/Axb7/9dpSXl4t/W7du3e9xMgzDMG0XnlQcOGjRVZIkfPXVV9i2bZtIKfJ6vcLNi1Lydu7ciaVLlzbzqFsHZPcNJHokUT1SMBgEYP8cyLIMv9+PTClh+V0WL4Ou69VS8JjasUaRSDDRAoC1N5URN7A1lpjLdpG6iFQ7a38kK+RwF0AAMmSE4iEhbgG+LumQdrrd+PHjsWTJEvTs2XO/X7ygoEAUXxJ9+/bFu+++CwDIz88HkBBmBQUFYp9du3ZhwIABNR4zufswwzAMwzQEWqVlkXTgsNp/U8aIqqpwOBziX1VVlXC7kyQJRUVFzTnkVoPV2Y4iSaFQyFaPFAqFYJomXC5XQiQhIZL2GnsRi8UQjUbFc/lzUzfJpg3JrnaVlZUwDANFRhE0aHDBhc7uzmKxQFXVGo+rqipUVcVYjIUDDsjxRAQwFosJ8cukRtoi6a9//SsmTJiApUuXon///tWKxq6//vqUjzV06FCsW7fOtu2XX35B165dASRMHPLz8/Hpp58KUVRRUYEVK1bg6quvTnfoDMMwDJMynG534LHaf3fs2BEARANTamZqTbdzOBy2RVSm4ZCwIUFkGAbC4TAikQiAfSJKURR4vV6EQiFkmBkAgHKUwzRNhEIhbiibIlYnO7rvSTCRWYZhGMhABsYp4xCOh+FSExEkWjioCZ/PlwgYSC7xOYlEIuJnFkmpk7ZI+uc//4mFCxfC7XZjyZIltjxhSZLSEkk33HADhgwZglmzZuGCCy7A//73P7z44ot48cUXxfGmT5+Ov/zlL+jdu7ewAO/YsSPGjh2b7tAZhmEYJm14UnHgoMmiw+HA8OHD0aVLF0QiEaiqKmoxysvLRcSjY8eOGD58eHMPu1VgFagkiCoqKmyTeXpc13UUFxeLSFI5yhGJRFBZWYmcnBxbehdTM7WdH9M0RbQ0FoshQ8nAIGkQZKcMt9stRFBtzoFOp1OIKIq46rouRCt/n6VO2iLpzjvvxIwZM3Dbbbftt7Xj4MGD8d577+H222/Hfffdh+7du2P27Nm45JJLxD633HILgsEgrrzySpSVlWHYsGH4+OOPuUcSwzAM06RQJIlz+A8MVnc1Sq177LHHcN1114nGprIs29zT7rjjDo74NQJ07kkEWS2oaTIfDoeFgKV9spAFING0lCJJdG04klQ7VtOG5NokchSkc081evF4XAgkt9tdZxNll8uFCrkCH+ADxBHHnyJ/Eo+xSEr0aU2FtEWSpmm48MILG837/qyzzsJZZ51V6+OSJOG+++7Dfffd1yivxzAMwzCpYJ18c6+kpsdaE0NzjDPOOAMPPPAAHnvsMXg8HiGeOnfujPvvvx8nnnhiM4+6dZDsKmiappioG4Yh7PCpXknXdXi9XrR3tgcSwQqE9JCtBQuLpNqpybSBhFAoFEI4HIZhGIgiis+qPkMndEJXtStUVRUiqTYURUn0UHI4sTa6FjJkRKIREVVq64s+4XAYhYWFKe2bttKZPHky3n777bQHxTAMwzAtDZqsc+pQ02OdqNN5j0aj6NSpkxBHTqcTI0eOxHfffYcTTzxR2FYz+4c1imeti9F1XdQnWevAZFmGw+GAz+nD7bgdt+E2OEwHIpEIR2BTwBpFop9lWYZhGAgGg8IpcJO+Ce9r7+NN/U24XC5kZWVBVdV6F2w8Hg9y1BwASDSUjZaKY7b161JeXp7yvmlHkmKxGB5++GEsWLAARx55ZDXjhscffzzdQzIMwzDMQQnbGR84yNlOURSRUheLxbBu3TqR3kXpYADEPoZhcJRvP7FG8YBE1pCmaQiFQqKprLWhLEUrHA4HXEg4CsdiMdH8lH5naiY5kkREIhFomib6Gm2MJprIdpY6iygSnfe6cLvd8Lq98MOPKlShxCgRQtcauWprmKbZtCLphx9+wMCBAwEAa9assT3WFk84wzAM03qhNCOe8DU9NImjuiMyEli/fr1oXqppGkpLS4ULG4vXxoHucUq3o3okOr8U2XM4HJAkCU6nE06n0zZZpzom6zWhOjLGDp0jq1gyDENYrsdiMRiGgY16QiR1kbrA5XKJJrL1nVPaLxOZqEIVivViYaZhXYxoa2iahnA4nLJeSVskLV68OO1BMQzDMExLhOovON2u6bG6q9GkMR6PY/PmzVAUBf369cM333yDqqoqIZKAhLji/ogNh1IWSdDE43Houi6MGihaF4vF4HQ6IUkSPB4PfD4fVFXF97/911friwmxCeI41mMy+7BGcwAIYUriiKJxsVgMm4xNAIBujm4IBAKiB1JNUD2Yy+VCRkYGnE4nAghgO7aj2CiGrus2U422JpLINTAWi9V6DpPhO5dhGIZhaoHT7Q4MNFFPFknhcBjbt28HAAwaNAiyLIuaDW722ziQEKIULIpiUCSJJu2SJInJpdfrRWZmJtxuN8pRjl/xK7bEtkDTNDFZ589MzVjrkUggAYlUO+s5363vRtAMQoGCrq6uwgY/ucwFSAikTZs2YcuWLQAgUvMCCABIWLTTdbQKtLaEYRioqqoCgJQdslMSSVdddRW2bduW0gHffvttvPHGGyntyzAMwzAHM7QKzhPxpoVSgKjeBUj0dtm4cSNisRgcDge6d+8u7Kd37twp9muLE77GxCpQSTBFo1EEg0EhnoBEqp1pmmKy3r59e5HSBSQm4jTBt0b5GDs1WX+HQiHbNdA0TdQjFaAAbse+/kg11SMVFxcjFotB13VEo1E4nU74fD4EEIACBQYMW/pkW7suVHMXDAahKAr8fn9Kz0sp3S43NxeHH344hg4dirPPPhvHHHMMOnbsCLfbjdLSUqxduxbLli3DW2+9hY4dO4pmsAzDMAzTkuGJ+IHBmpplNW34+eef4XA40LFjR0SjUeTk5GDv3r3YsWMHevToIZ7LNByrsx0JJqt5gLWGxel0iqa+GRkZUBTFJpJ0XUdlZSUCgYA4HmMn+ZzIsoxoNCoEaTgchqZpKNQTNtWdpc7w+/0iipScJmcYhs2MwDAMuN1uqKqKYY5hOME4ATL2vQbQ9qJ8sVhM2KorigKfz5fS81ISSffffz+uu+46/O1vf8Ozzz6LtWvX2h7PyMjAySefjBdffBGnnXZa+qNnGIZhmIMQTrc7MNAEsSbTBlmWUVBQgJgZg9/vFyKJr03jQIKUokiyLIvIhvUxcmJTVRVZWVnwer1wOBzIkrIAM9FQNqpFEYlExLVpaxGLVLBGTZOdAykSJEkSTnefjt7x3siQMuDxeGo1bSgtLbUJL13XRdTJ6/IiaAQBJNL52qLzIJ3vcDgMAEJApkLKxg0dOnTAnXfeiTvvvBOlpaXYsmULwuEw2rdvj549e7KzHcMwDNPqoAkJT8SbFms9knVlnUwbcvJz8PiXjyMrLwuObQ7s3LmzTU74mgKqQaKJO6Xb0eSdxJEsy1BVFV6vF36/H7Isw+12I8eZA2hADDFUxiuhaZqYE1IDUyaBNaWR7vXKykoA+/okkThVDAW9lF5wOBzivCfXI8ViMfF8RVFEFBBIiAGroKLoID2vrUDfLZFIBEDivNRnoU6k7W4HAO3atUO7du0a8lSGYRiGaTFYU1tisVibc4Q6UCSLJEqP2bZtW6JHkttEmVYG1adCUiSUlpaygG0EKL3O2gMpGo0KpzVKxaMIn9PpFKl2QCKTSHWoyNAyUIlKFOvFCAaD1epumATJpg26rtvcM8m8gazU6TNRW3+kyspK0cDX5/OhoqJCiCQSVe/gHZSjHFeFrxKv3VY+MxRFspqP+Hy+lAM77G7HMAzDMHXAdUlNi9Vdjc61YRjYvHmzEKalcik6oAN88EHxKCguLrYdoy2tjDcm1r45FEkiV0HDMETvKuqNRKYNVpc7Mm9ww41gLGizmubrYifZWY56F7lcLmG7rmkaVkVX4UP9QxTGCuH1euH1eqGqqk0kxWIxUYsUCATg9XoBwCaSPB4PNmMztmM79up7RTSlrVwXipxFIhHoui7u3Sbrk8QwDMMwbZG2svp6oLFGMsi0IR6P4+eff4aiKMjPz0dRWRFkyFCgQHbJqKiogGEYIhWMBWzDoEgRpXm53W7ouo5IJGJzX6MIn9vtRmZmpphkulwuqKqKKZgCBxxwyS4ReQLazmQ8VUiUUlojiVCn04loNCoiHt9r3+Pb2LdwK26coJ4Aj8cDp9NpS5+LRCIIh8MJ84zMzGrOdSSsAgggiCBKjBLxem3hu4wioQCEcKcmyGRTXx8cSWIYhmGYOuAJX9OSbNpA9TEbN26Eoijo1KkTFCjIQAbaoz0UTUFlZaWtoSxfm4ZRUyPZUCgEwzBEyheQEEoOh0Ok2pFI8vv9cDqdcPy25k61TNZeSW1hQp4qdD6o7o6MMIDEuQuHw4jFYtgc2wwg0UTW7XbD7XaL/mFEaWkp4vE4PB4P3G63aKhMgpeifNQrqcQogaZptshta4a+E6jGDoA4j6nCIolhGIZh6oDT7ZqWmkRSLBbDr7/+CkmSkJeXhxEdRuBwz+HIQQ4UU0EkEkE0GrWl5zHpQz15yEiAfrcaOQCJHkkOhwM+nw8ej8cWSUpuzEmmG7Is82cmCWt6I9Uieb1exONxVFVVQdM0lOvlKDFLAADd1e5wu91CjNJ5D4VCohYpMzNT1IvR54F6VTmdTltDWRKxrT2aZHVkpPo6p9NZoztgXbBIYhiGYZha0HWdraabGGsfHkmSEIvFEIlEsG3bNkiShOzsbGiaBqfsFClfsiyjqKhITHh4Mt4waLJORe1klUx1LdTIV5Zl+Hw+EZ0gMjIy4HQ6UYQivI7XMQ/zYJomgsGgOD5/bhJY677I5puaI0ejUdHsdZOxCQCQK+Ui05UJVVWrmTZUVlZC13XhekeQ+x0tIPj9ftHHqgIV4jVac4oqRUeBRBYAWZ87nU44HI603LgbVJM0b948vPPOO9iyZYv4IBGrVq1qyCEZhmEY5qAhHA5j165dUBQF7du3B8ApXU0BTWgokkQiaevWrTAMI9GTp10WdhbtBKTERFMNqFB2Kdi5cyd69eoFgK9NQzBNE7qui3mcoijQNA3RaFTUrgCJVDsSp16v1zbJpMm7CRO/4lf44RfPp2vJIimBNYqkaRocDoeIwoXDYZFuV6glmsgeIh8Cl8sFj8cDVVVFlCgcDiMUCkGWZfj9fpt4op81TUNGRga8Xi/aKe2AWEIkUZSQPnepWmG3JEgE0v1HKYZk/Z2OSEo7kvTUU09h6tSp6NChA7799lsce+yxyMnJwcaNG3H66aeneziGYRiGOSgpKytDSUkJp9s1IcnOdjSpXrduHRRFQcfOHTHvl3nYVLkJITOEndgJOTuRlrd9+3ZxHBZJ6UOmDVTbJcsywuEwKioqRKE7RfcURYHb7bbVIwGJlXqPx4P2jsRCQhWqENEjqKqq4ghsEnSvW1PhnE4nDMMQ6aOGYYh6pK5KV6iqmrBZV1URNaW0PFVVq9lZJ0eS3G43sh3ZUKBAgoRwONyqnQetUSSHwyHOqaIoIpKUDmmLpGeffRYvvvginn76aaiqiltuuQWLFi3C9ddfL6wIGYZhGKYlQ5MXXddFvQtP9hofawoSGQfEYjFs2rQJsiwjMy8TTjgRRBA+xYc44pDcEmSHjN27d4vjsIBNH6o/Sk5NstYj0Yo8RZGSG5SSSAo4AsK8oTRWamso2xon4w2B3Owohdfj8YhJfSgUQjgcBgCUm4m5dHdnd1HzRREQTdOEjXdy6iMAYQJBTXxVVUUvZy/8GX/GZEwWqZU0ntaGtRYJgEgvJEGaThQJaIBI2rJlC4YMGQIA8Hg8otPvpZdein/+85/pHo5hGIZhDjqoUB2AzamLJ+ONi1UkUXqMrutYv3594vznACpU+OCDDBkqVKiSCsWd6JVEEz42bkgfathLJgvAvlQu62SSVuEptS55omm1mgaAYqNYpDgBrXMy3hCsAsnhcMDpdIqUx6qqKmF4cYN6A25z3YbOamdRj0QRvWAwaEvVSzYhsDrcAb/1SnJ7ICFxzawiiYRUayE5imR1aLSew3RIWyTl5+ejpCThunHIIYfgq6++AgAUFhbyHw+GYRim1UAiyToB5wlf42K1RAYgagi2bNkCh8MBHToccCRc7ZREypACBZJTQmlpadqTHmYfdK6pUaymaaisrLTVdFCqnc/nQ0ZGRo3pSn6/XzSUBYBivVhEO4DWNxlvCJRqF41GRX0XzZnJKINqhWRZRraSDa/ba4sk6bqOUCgEXdeF7Xfy/U8iidJWA4GALdqkaZpwt2ttc3ZrRNRq2KAoijDISMfZDmiASDrxxBPxf//3fwCAqVOn4oYbbsApp5yCCy+8EOPGjUv3cAzDMAxzUEKpK/SHln5mGg9rPRJFknbs2IFoNArVpSKKKCRIkFwS/H4/AECCBIfbgYqKClu0gq9NepA1MpCYXEciETEJpwa/NLH0+Xzw+/01ilKaxJNIKomXcJpqEpRSR41jKdXONE2RamcVMFSzRMYMsiwjFAolXB6dTni9XlF/ZIXEgGmaiEajcDgccLlcWIiFeAkv4afITzbjhtaC9f0oiiJqv8jVTpblBkWS0ra1ePHFF8UNf+211yInJwdffPEFzjnnHPzhD39I93AMwzAMc1BCq+aRSAQej8fWwZ3Zf5Kd7UjorF+/Hqqqol1+O5i//RfwBmyrwIqqoCpYJayr+bqkRywWEyKJUuio9w6QuPdp0ul2u+HxeKo52xHkvpaJTLjhRsyMiTQnWZZb1WS8oVijSB6PBwBs9UhUC/a3yN/ggAPnKOcgz5EnmsTquo5wOAxd1+Hz+cTEPxlK5aMoocvlgtfrxV7sxXZsxy5jl4jstSbxSoKcokjk0ggkFrtIaKZL2iKJBkBMnDgREydOTPuFGYZhGOZgJRqNoqKiAuXl5cjKymKnriYguZ8J9ezZvHlzYrU8y4s44vDCC4ecqMHIQQ72Yi9UVUUkErEJWHKxYuqHJtEARAPfUCgkhBMZaVA9Ul32yX6/H263GyMxEqMxGoA9xY4/MwlHulgsBrfbLSLUVI8UiUQQDAYRNaP4Nf4r4ojjQueFIuLkdDoRiUSg6zoURYHL5RLHqAmn04loNIpoNCrS8qy9kkKhUKuyZrc2xrXWkSY3qW5Iam5KIun777/HEUccAVmW8f3339e575FHHpn2IBiGYRjmYCMYDCISiQjLXoDT7RoTa1NLSrUzDAPr1q2Dw+FAICdhBJCDHLhcLoRCIQBAe7RHcaRY2IAfeuihIj2MSQ1K7aKJO0UzrFEGmlx6vV74fL5aJ5o08ZctFRyGYSAYDCIjI6Na3VlbhJrr+v1+W0sBEkiGYWCLvgVxxBGQAshVc0WETpZlRKNRaJpWrWdSTVAaHtWbeTweYapBvZKsBg4tHYoiUTpdTal26fZHIlISSQMGDMDOnTuRl5eHAQMG1Brapi85hmEYhmnJWC13Q6EQ90pqAqwGAbQabBgGduzYAVVV0cHRoZqzF+Fz+qAoCnbs2IHevXsD4GuTKjSJtKbDxWIxUehOkSWKIgUCAdGPp6aJJqWQWeeGuq4jGo0iMzNTXNu2KpIocqMoiki1AxLXIRgMIhqNJiKov/VHOkQ+BA6Ho1oUieqUrD2TaoJEkmEYouFslpwFxIFylAsBYV2gaKmQAAcgvqPp/qb6ryaPJBUWFiI3N1f8zDAMwzCtmXg8LgqqqW8MbWcaBxJJJEhjsRh27dqFUCgEr9cLr9crJpdUO0PQBHLnzp1iG9uAp4Z1pZ2K/K124IZhCEFE1t8kgmqC+ihJioTXjNdQjnLcEL0BkUhErOy3ZSitkQQ/ACFQqImsruvYbCREUjdnN7hcLlF7FA6HRVSE6mvqgtzsSFipqopsJRuIJyJJJIZJYLTkFFWrWQPdn5QySqKSBJJVWKb6XZGSSOratWuNPzMMwzBMa0VVVZimiWAwyCKpCSCjBqfTKSbnZNqQmZsJ3dQhmZKIdiS7eclOGSUlJdyPJ02sdtMAhBOa1ZEOSIgfVVXh8/ngcrlqjV5QSp5bdWO7sR1hhFFilCAajQrx25avDTWJdbvdYhs18rU2kd0S3wIA6O7oDkVRoKqq7bxRn6r6RA3VK5EIcrvdaK+2B/SESKJrDaBF1/HVFkWieiRyZkyOIhmGgeLi4pReIyWRRJbfqXDOOeekvC/DMAzDHIxQqh1Z8tKkglO6GgfTNMWEnCbSmqZh06ZNiclgjgNrK9eiO7rD5/PBNE2xQl6MYsRyYpB2SLaGsm15Ip4qNImkVCyylNY0DVVVVbZid4fDIUwZ6ktXIiGVGcpEGGHRULatLy5Ye1F5vV6xne7/cDiMaDSK0lgpKlABCRJ6eHqIJrLUfJaiUKqq1ps2Rk5u9No+nw/tXe2hBBX44UdQD9rqAVsqybVIwL4oqXV7srNdOBzG7t27U3qNlETS2LFjUzoY1yQxDMMwrYFYLIbNmzdj586diEaj6Nu3L1wul62Ohmk4VKdinaQZhoGNGzcmJjdZUsIIQIZoaOr1ehMrxrHfeiW5HCKSxPOP1IjFYtB1XUTxJEkSDmvxeNzmagckjAZocp98z1vrjMiqOhOZ2ImdKDaKRcSC0iXbItQbKTlNjtJ5Kd0uGA+im9wNkAC/6ofH4xHnlyJ6TqczpagP1ZKR2YPX60WWLwt/LvlzoueYLolIYktNUaWaKvpuIGgBgFJFAdgEvmmaKC4uTrnBcUoiqa2uADAMwzBtj/nz52PatGnIyclBt27dUFZWhqeffhp33HEHTj311Bafx38wUJNAikaj2LFjBxwuByQkJjUZgQwAiRQiqkPCb/NtRVVQvrfcNgFi6oZS7ahWiMwWyByAziGZMZCFdLJpA03yKdXO6/UmHAl/c1EriZeICArQNuvFTNOsMdUOSJy/cDgs6oPypXz80fdH0ViZoqaULkeRvVTNL+j7Sdd1qKqauIa/faasEfKW+pmpqRbJatigKIo4B9Z7NxqNoqqqKuXz2DatRhiGYRimBubPn4/x48dj27ZtopDd5XKhtLQU1157LRYuXNhmV8UbE2taF5CYRJeWlqKqqgrOLCdkyHDCCZfDJa5BdnY2XC4XAghAggTVqYqidjomL+rWDvWhsqbAkVgKhUIiukQr9GTa4HK5qkWRyMyE/u/z+eDxeGz9eMgcAmib1vl0vildzoqmaaLFgLU+jCb31j5IFIVyOp0pR7Dp+ZROaRVphmGIlLSWKF6t96hV7FjPN4knq1AyTRMVFYn7sq4+U1bSbiYLJPzeP/vsM2zZskWcaOL6669vyCEZhmEYplmJxWKYNm2amLBQCpLD4YCqqqisrMTMmTMxduzYlP/IMjVDEx2ym45Go9iwYQNcLhe8mYn0LhdciMViIopUUFAAt9sNZ7kTEiQobiWRqhQMIhBIRDBa6sr4gcAwDBFBoMkx1SXRZJ22ybIMn88Hn89nW60nrHM/0zRt6XZAwmqaevE4nc42eV0oYuNwOGwiiWocg8FgYh9DR9AIIuAKwOFwCLdHcmcjwZpO9NoqkihVdSVW4lt8iyPiR2CgNrBFRpKsDaiT70s639Z0UdqHakzLysoAJNJIUyFtkfTtt9/ijDPOQCgUQjAYRHZ2Nvbu3Quv14u8vDwWSQzDMEyLZOnSpdi2bRsA2Ap+KdUlHo+jqKgIy5Ytw6mnntrMo23ZJDcY1XUdhYWFiVQjvwsyZORIOWKyGAgE0L59e/sKOxJNNXfu3ImsrCwRCeFUyJqx9schJElCOBxGVVWVbV9FUUR0KHkyarXEB/bVJlEkyQ03VKjQdR2apsHtdqdcA9JaIMdAAEL4WB+jc65pGnaaO/F49HF0NbrilpxbRLNYiigpipJWqh2wTySRaPB6vQgiiO3YjjzkCZvslhZJstaEWj/nZEhCCy90rqwNZqkGzOFwICsrK6XXSzvd7oYbbsDZZ5+N0tJSeDwefPXVV9i8eTMGDRqERx99NN3DMQzDMMxBQVFRke33jh07wufziV4jNLm09uZh0sdq2iBJiSJywzCwadMmKKoC05s4z36/H7Isw+VyIS8vDz6fzzbZlAOyEEltOa0rFchymuy4rRGeSCQi9qHohaIo8Pv9YrJtnaAnCx5K2/N4POiudMdtuA2X4BJomiYiTnTN2wrkLEfiMfmxUCgkzs/m2GaYMKFKqrD5tkaRUrH9ToZc8GgxwufzoZ3cDsC+XkkU6WspJEeRrJDgI/FE9ystssRiMVRUVCAWi8HlcqGysjKl10xbJK1evRp/+tOfRDgrGo2iS5cuePjhh3HHHXekeziGYRiGOSgoKCiw/Z6RkSG627vdbvEHukOHDs0xvFYDTZipToBqJIqKiuBW3eiETshFLlSnKlbBs7KybDbKOciBv8IPp+rErl27bMXbTHV0XReTYusqezQaRTgcFnbdtBDgdruFcQMA2/ml6AO5h1EkiZqfErFYrM02lKXIBol8K7quIxQKieuxydgEAOiqdBUTfBKdlGqXThQJgBBYFDl0uVzIdmQDSKRCUnplS7outTnakXiiVFI6f9bGvWTYQE6BqUbQ0hZJ1ouVl5eHLVsSza8yMzOxdevWdA/HMAzDMAcFw4cPR+fOncWE0JHrgOLdl9suyzIKCgowePDg5hxmi8caRaJIRmVlJcrLy+FSXQioAbT3thf7+Hw+ZGYmal2saTLSb/+VlZWJyX1LWhk/kFhFEE0iJUlCJBJBVVWVrR5JURR4PB7Rmyc5ikTuYVaRROYEVoMAXddFyllbiiSRyxqdl+QmyNFoFJWVlUIkbYkl5tHdHN0AINGY9zdHQYrqpSuSKEWYXs/n8yHXlQvAbqqR7DJ5sGK9f6zRZHqMXO2sfaTonMViMQSDQRiGIZoiU/S0PtIWSQMHDsTXX38NABg5ciTuvvtuvPHGG5g+fTqOOOKIdA/HMAzDMAcFiqLgySefBACYnU0YPQwgf1/fEVmWceeddzbzKFs+1roYinBs3rxZRCOs9S+KoiAzM1NENCj9EQCys7OhKAr27NnT5puW1gWtpFMDWathhqZpopbD6hhWUz2StakyRVgBe7qdqqpYgAV4Bs/gB/0HRCIRMcFtK9cmOYqUnBoWiUTEpD0YC2K3mWhs2tPdU9QfkTCynud0sIoz6pWU48xJ/A4NVXqVuJYt4bpYjV6SzwelNgKwPa4oirjvqqqqRESNTDNSIe0zP2vWLJGSMHPmTLRr1w5XX3019uzZgxdffDHdwzEMwzDMQcN5552HJ554AtIhEnzwwQknZFVGVlYWnnnmGTZsaARo9Zom3bquY8OGDfD6vHAFXIhqUVGX4fP5EAgExESzXbt2ok6mRCqBGlBRVlYmJnocSaoOudrFYjHhnEZNZKnhqDWNyel0wu/3C+tvEkkUeaA6GXqMRJDX64XT6UQlKrEHe7BL3yVetyVMxBsLqxV1chQpHo8jGAyK877Z2AwAyJFzkCFnwOl0QlVVEfFoSD0SYXW483g8yPJmwY1EpG9XZFeNRh4HI3XVIlG6brL1tzU9NBqNCtGqKIpwLU2FtNztTNNEXl6eiBjl5eXh448/TucQDMMwDHNQ43a7gS6Jn02Y8Gf6Me7scTj22GMB2NPFmPShSTNNJk3TxLZt2+Bt54WRY2CzuRlHykeKeqTMzExxrv1+PzweD/ZG9gIAZL+M8qJycey2NBlPlXA4LIraKZIEJCIa0WhUpB5Rk2SHwwGfz1dNJNFqvbVfDxXFk0hyu93CBrzMLBMRLEVRYBhGq7fOp/uaonbJTWSpPxLV0JBIOkQ+RESeqC8SCaWGfs9QWho53Hk8HrRDO0QQQdgIC3FL4vlghQRSTVEka+8vWlixmjUAQFVVlWjKS/VgqS6mpBVJMk0TvXr14tojhmEYptWybNky4MuExbQDDpiyWc0ulyMWDYMiSLQ6TLUb27dvhzuQmFD64YcsJSY7fr9fmDYA+8w0/Ej0OXG5XQiHw2LizyLJDtV8UQNNp9NpE6i0qk4CCYAwbKAoCBkvxGIxUfhOWFPu6DnWXknWKFJb+MwkGwjUVI9UVVUlJvadlc44xnkM+jr6QlXVRB+w3+qQ9ieKBOyLJNF18/v9uBJXYhqmIT+Wb3M1PFipK4oE7Kv/onNN74XuWerBRvc3RfBS7ZOUlkiSZRm9e/dGcXFxOk9jGIZhmBbDsmXLgC2AF144Yg7IkMWEnv5Q82S8YdCEnCYwNIkpKyuD6lET/ZGQqJ1wu93w+/221Xiv12tzC3PAAV3XRc1BS2yQ2ZRQg00gEQFyOp3C1cwwDITDYTGJpjQ6n88n+vNYU/PIsMG6mm8VSSI9EonGvuUoFyKY9mnNUGSGUrtqcqWjHqOGYSAWi+Ew+TBc5L4Ig12DhWEG9UhqiGGDFTIxoCii2+2GhH1paHRtDuYeVskNjq1Qqh3tQ9EwSgGlflS6rovFgVAoBNM0q9my10baZ//BBx/EzTffjDVr1qT7VIZhGIY5qNm2bRs2bdoEWZbRWeoMlAGIJCYV4XDYVsTOpA+lKtKKOwBs2rQJGRkZULwK4ogDLohUu0AgYJscOZ1Om0iSfYnJ044dOwC0LRe1VKCUOooi0fkh8UT9Yijy4XA44PF4hLua1aYdQLXISLJI8nq9IpJUgQrbdW5pjUvThe47TdOE258V0zRRWVlZzW5d1/VEE2WXS6TYud3uak1804Xqxui1MjIybI+TqcbBGuGzmn3UlA5oTbWje9VaI0eCNRaLQVVVRCIRRCIReDweBAKBlMaQdhLipEmTEAqFcNRRR0FV1WpqrKSkJN1DMgzDMMxBwfLly4GBQLf8bmjfvj2K9xZDlmWUlZXZbGMP1onFwQ5N2CiaEY/H8euvv8IVcMHhccCAgUxPJhwOB/x+PzIzM6utIFtTZRS3Aqcr0SupT58+ojfM/qQptRZM0xT1F6qqQlVVMWmMRqNigkn/qLCd+h3R6j1FPehxK3RtqEbP7XYjW84G4kAQQVRFq8RkvLUvLCQ7+NXUH4nqkQzDwC59F0KxEPLlfCGM9qeBbDIUjdJ1HYZhICMjA5vlzVgYX4gc5KC31vugdh20ptnVJBaTDTLoHqR7WdM0GIZhS+01TRNenxer9q5KaQxpi6QnnniCi1UZhmGYVsnnyz4HTgU2eDYAib6lkGUZpaWlNpF0sE4sDnaotoX+SZKEbdu2wRfwQYIEL7yQJVmsrPv9/mpzDuuKuAMOKP6EDbj1NRiIRrGKosDr9UJRFFEjFIlEEAqFxCQSgJioZ2Rk2MwZrOlMyYI12Qbc6/Ui25ONQDAADzwoDZWKVL3WHEmi6AW9V4fDUS36Qeec7v3Pop9hmbYMwx3DcWnWpXC5XCIlsjFEElmIk4Okqqpwqk5sj2yHjkQ9GrkPHmxYxVtN5yHZ1U5VVZuhDkVLo9GocLQLh8P4ovQLPPW/p1BUXJTSONIWSVOmTEn3KQzDMAzTIlj0/SLgRMAjeZCbmYt1WAfFkfgjTUW/VocwJnVoRZdsh6lWYseOHcjslkjRykWumPRkZ2eLtC8r7dq1Ez/LkOFQHaioqGDzhiQoakHpc9QXiURSJBIR14Csv8mhjib4dM1qsrMGYEtxoloPVVVxY/BGAIAPPrG4QAJtf+psDlaSU+2sTU2JiooKcc6tznZdlC5wu93iXrfWg+0vdM10XYfP50M7JfHZKUe5GMfB+HlJJYpE4yY3O2uz5OTeSdFoFIt3Lsbda+6GidS/u9O+UxVFwe7du6ttLy4u5vA2wzAM02IpLy/Hen09AGBo56HIDmRDz9Yh5Ugo1otFU06A0+0agrUehiY04XAYkUgESoWCzugMlzdRk5GRkQGPx1PjhDojIwMulws5yElEkrTEvIREEl+bxDmgeiOKIlFfKnL7Iptqq/U3RZHISpmETV0mAtaUOxJZBAkza9+a1ggJf7r3kq3OrfVIhmEgLsexI56oo+uudofT6RR1SORu1xhYRZLL5UK+Nx8AEEUUJcGSgzKSRAKIxHtt+1D6HN2rVuMWsp43TROapiEcDePp9U+nJZCABoik2lbPqDCQYRiGYVoiX375JdAt8fPJvU+GBEuPmAoNkUhETCha62SvKUk2bACADRs2iFoMWZbhdXqFFXK7du1qXEUOBAKiHjoHOXApLm4om0QoFBKGABkZGbY0R3K0o3Qra9G7tR7JGu0jE4CasKbceb1eW5oZNfK0GhW0Nui9WW3Sk+uRqB8VpRz+GvwVMcTggw/5ar4w1iCB1FgiicZBvaoC7gBcSGwr0UvEPXEwUVVVJe5R6z8ST/Q7RfVVVRXb6L6l2jsgce6/K/0Ou6PVAzz1kXK63VNPPQUgEdb629/+ZiucjMVi+Pzzz9GnT5+0B8AwDMMwBwOfL/sc6Jr4eUjHIdA2aVDwm+U34gflqmtLoia74Q0bNoi+PFSHQfVI9UWSCIcjkW7XVqymU4GiSNS7iMwXKLJDwgWAaMRJaXnURNZq6FBXs1GrSFJVFV6vF9/jeyzFUvRADxymHWazYW5tJItzispZoYgpXYfCaCGARBNZVVXhcrnE/W+tB9tfKAJIIsntdiOAAPZgD4r1YtEn62AxO6H7E4AQPMnjIoEfiUTEewqHw7aUR+u51jQNJVrDTOVSFklPPPEEgMRK0PPPP28btKqq6NatG55//vkGDYJhGIZhmpsFqxcAgxP1SIM6DcJXm78SfUUkSLY8d2uRMJMa1p4mFFXatWsXnDlOmFmmSJ9xuVxo166dmKwnQ1bJhBJQENoZEilPrXEing6apiEYDALYV79FUSFytqMoEgCRTkcCh0QPnc+aDBusWEUS9VmKIYY92IMAAjYnw9Z4bayTc6B6qh0AlJWVCWEai8WwydgEAOjq6CpS7eh5NdUzNRQSXHT9qY/VHuxBaawUmqaJ63wwQPckCXP6niCxR+l01gio1RSEHB0ppZciqrme3AaNJ2WRVFiYUL2jR4/G/PnzbYWTDMMwDNOS0TQN35d+DwA4tuBYKFJiNTgTmShHOYB9xg30hzkWi9W5ws7YoToBAKJofNeuXfDke6ApGiAlokJut1v0R6ppsihJkuhzUoxiKL5EvU1FRUVigt7Go31VVVUAINIWgX0iiRztyPGMajpUVUUgEBCCyFoEX1+EwSqSqCEq9Upq7Q1lrWmE9N6SU+0AiIk71chsiW8BAPRQewgnPGuqXWOJJLqedK39fj+ykY0SlAixQalqB8N3mbWmy+VyVRNwJJwopVFVVSGoyLLemppHkdBBuYPQwd0BuyK70hpP2mdk8eLF1d7QDz/8gK5du7JwYhiGYVok33zzDYwvDGTtzsLsz2dD0zTs2LEDjt/+TCpQUFlZiVAoZGtYyKSG1bAB2NczJmJE4M/xI444vD6vcPmqyfrbirVHoyPDAVmRsXPnTuTn54vV5rYa5QuHwwAShg0AbMXsVOtB9RzUQ4nsuyl6R5PVVKyorYXzAGoUSdFoFD6fr1q6ZUvHWqNo7dljpbKyEuFwWLz3SCSCceo4bIltQVdHV7hcLmGu0RjW31ZkWYbT6RRiKDMzE2fiTPE4OQ8eLJEka8oiRY+sNUkk7im6RL2/SOhba/GsDZD9Xj/O6XYOXvr5pbTGk7Zxw/Tp0/Hyyy+LNzNixAgcffTR6NKlC5YsWZLu4RiGYRim2Vm2bBkAYNQRozCgYAAA7JtkxxNW02VlZWI1GDh4JhYtAWs9F018tmzZAnemG8pv/7mcCWc7v98Pj8dTp8jJysoSP8uQofpV7N27t82n3BmGIUQS1Y5be/homibEKk0iZVmGy+USpg30nPoMGwhKeyL8fj9y1UR6kw4dZZEyWz+m1oL1PrNOyJMjMsXFxUKoUsrpofKhOM1zGgKugEi3o+c3trina2oYBjwej02EhcNhWxpsc5PsDkj3IEWMSODT/WRdEDFN01aLRP+cTicM08CCbQsAAG7JXevrJ5O2SJo7dy6OOuooAMAHH3yATZs24eeff8YNN9yAO++8M93DMQzDMEyzQyJp+PDhABLmADR5RGliIg4kVl6p9qCtp3WlgzW1iwwENm3aBKfPCQccUJGYFDkcDvj9/noni1bnOyeccLgd2L17d5t3HwyFQqKOiKJtlFZlTbOj60FpVmSUQeYK9dl+J2Pdz+VywefywftbN+biWLH4zLSmSJK1Tw+9r+R6pGAwiMrKSiFCgsGgEJWUyuh0OoVJSSqiNF1IJMViMbjdblsUNhqNCqHR3FC0CKjeQJbEksPhsN1DZDxBjZLpd+oFRpG9uYVzsaVqCzKVTMxqPwt3dL8jpTGlLZKKi4uRn5/wWf/Pf/6DCRMm4NBDD8Vll12GH374Id3DMQzDMEyzEo/H8Wnpp8AEQDp03wTF5/PZJi1Uz2F9HlM/1lQ7mlDG43Hs3bsXDtmBOOLIQQ5UVU2kamVm1jtBtzrcUUNZqsU5WCZ9zUEoFAKQuHcJEkPkCEYCic6RJEnw+/1igk/bGyKSqFeSNeVur773oEvragysIom+F5LrkSoqKsT5pmjqF5Ev8GPsR0TMCFwuF/x+vxAFjVmPRFA6pWEYcLlcqJQr8SJexDN4xiaamxtrql1NWAUUfS+TEYau6wiFQkL00aIAtRc4vcPpuCD3AozPGI+8zDyc1f+slMaUtkjq0KED1q5di1gsho8//hinnHIKgMQH82CwD2QYhmGYdFi3bh2CnYPA4YCWqYntJJKys7MBQNQV0Kp4a5rwNSU0ORQ9p36rUSmvKIcjywEDBtx+t4hmBAKBailc4XAY69evx+bNmwEkUrqsTUsdLgf27NlTLf2pLUHGDNTviKB6JIoyUTpSPB6H0+kUrnZOp9PmaJfOhN0qkshGPA956IAOiMfitshVa1hcsKbaWRvzWuuRQqGQsGJ3OByJhQIzjg+0D/Bq9FWUmqVCoNL93hQiiaKyVH+W5c7CDuzAHuxBZaRS3A/NjTVlsSas7qKUggckRKqmaSgvLxfvJRwOiyhdOBxGZUklxrjH4AT/CcjPz0eHDh1SGlPaxg1Tp07FBRdcgIKCAkiShJNPPhkAsGLFCu6TxDAMw7Q4Pl+6rz/SST1PEtsDgQDcbjc2lm8EkOhSr2maWHU9GCYWBzu0qkspMRRVCgaDCBthZJVnwcw24XF6xOQ+2fo7EomguLhYrHhrmiZMBnKQg2IUw6k6UVFSIZ7TFq8NmTKQQyARj8dFU1cSK7Td4/GICJ6qqiLCVJ/tdzI19Uoah3GJB43ENSSR1BoggSTLsoiSURNeoqKiApFIIlpUUVGRsP4ObkIUUahQ0UntBFVV4fP5bOl3jS2SrAYIsiwjQ82AChUaNJQYJSLq0tzQ92pNARe6L8ldlFzrqJEsOY+SQAqHwwgEAtgd2g2H5sDevXthmiaysrLQtWtXlJSk1jcpbZF077334ogjjsDWrVsxYcIEEVpUFAW33XZbuodjGIZhmGblg68/ADoDLtOFAfkDxHafz7fvD3YOgOJ91tUAp9ulAhVPE3T+tm/fDqfphBSR0NXVVaz6BgIBsfJNdQW6rgszAiBx3skBb9euXchBDsqD5SipLBGRkLYW5aP+MABsxfkU8dA0TdhQJxfqk7saQZP1dEUSFc+TnbUVq/07TXBbMnRPUxQDsNcjhcNhhEIhxONxZGVlYfPmzdB1HZuNRCS0s9wZLqcLTqdTLAqke85ThaKCZDrj9XoRQAB7sRe7I7ttrpPNSW31SMC+eiWyXCdzDIqQWetEqS7JNE3ctPImBKNBXNbuMnT3dUenTp3gdDpFhK8+GmSKPn78+GrbJk+e3JBDMQzDMEyz8mXRl0Bn4Kh2R8Eh7/uzGAgEbNEKCZKY+BBt2Wo6FWhipigKdF0X0Yzt27cLwwCXwwVFUUR/pOQibLKrpv490WgUbrfbllKmSArC4bDNRawtYRgGIpEIZFmusR7JWk9HdRzWvkZkHADss19OB/oM0LXOyMiwPU6v1xqcB629kYDEuae+PURFRQWi0SicTidKS0uFSNwa3woA6OboJs49LQqk0pOqIVgbscZiMWRkZAiRVBYvE8K5ObEuptTUr4lSGmnxhKJ2uq6LhRSHwyHOsyRJWLhzIdaUr4FLcsGv+JGZmYkOHTqgvLxc1C/WR9oi6b777qvz8bvvvjvdQzIMwzBMs7B9+3aUBBKpF+cceY7tMWtBNWDvldQaJntNTfLEhwRSNBpFaVmpED5UX+Dz+ZCRkSHSl2h13epeRSIJgGgoC0BMAktKSuD3+9tcJIkmh7Is21LtKN0xEokgGo3arJGphoZ69Fhtv9ONaNAknyJ5Pp8Pe7AH7+AdSJDwoP5gtahiS8Waakc1MGQmACSiSJFIBLFYDD6fD1u3bhWT+EK9EADQzdkNDocDPp8PqqpC07QmcbYD9jnDAYlFCxJJQKKPlTUNs7kWfKztAZLvPRKltOBC9xpF8ei+jkajQjCpfhXPffccAODszLOR58lDXl4eYrEYSktLReSpPtIWSe+9957td13XUVhYCIfDgZ49e7JIYhiGYVoMS5ctFfVIYw4bY3uMJjCE7JFRUVEhIhaU6nEwdKo/GLFOvCh6EQ6HE6YNwXI4850w3IaYGHk8HtHPR1VV0RuFmkV6vV6xQg/YeyU5vA6oXhV79uxB586dW8VkPFXi8bi4J1VVtQl76h1Dj1tTRSnVi0QSFfY3tC4mWST5FB/2xPZAgoSqYJVI62rpiwvWtDBKA7XWI1VWVoroZ2VlpbAAD+pBFMWLAADdnd3hcrmQmZkpop9NUY9EWJ0LKd0OACpQIWrZaDGiOagvikTfH+TQR1bg1rGXlpYiEolAURS8s+Md7NX2IteRizGZY5CZmQmv14s9e/YgGo1Wi3TWRtrf7N9++221bRUVFZgyZQrGjRuX7uEYhmEYptlY9MUiIAS4O7pt9UhAYgXW7XbDqToBDZC8+9zZaDLDIqlmrBNySouhFLpoNApd1uFw76sroJ5UFD2iiXt5eTni8bhwvrOKJHLB22vuhZKjQNmtiF5JLX0ing7JqXbWlfh4PI6qqirRZJOiHxTB83g8cLlcIpWRtjcE6+t6vV7kuHIgh2TEEUepUSoiAc2d2rU/UFTD6tQI7LP+DgaDYiHA5XKJ+9HpdGJ7fDtMmMiUMpHtzBZRPKIpRZK1zs/j8SAb2WiHdnDDjXA4XC2F8EBD90RNIo1S7aiFAL0XqxlJVVWVSIWuclbhn5v/CQC4KOcitMtoh/bt24uIKpBoZ5QKjfLNHggEMGPGDJx99tm49NJLG+OQDMMwDNPkfLv0W+Bb4OW3XrbVIxEejwdulxuIAJCB4opEY0xN06r1RGH2YRiGaB5Lv5OLVlFREWQ1MXnORS4URRHpdvR/Wimmyb/X6xVpZBStCAQCicaYoUQqpNPlRHFxsViVpjSo1gylIZHwSb4nrcKUVuKt6XZ0vikKRUX+DcFqA+5yueB2uZERykA5ylGsFwtx25KjfNZUO6v1t8PhgGEYKCsrE/dsOBxGMBiEruvIyMhA19KuuN13OypRKdLzMjMzbQKhqUWSaZrweDw4wXMCBoQHAICtt1BzLfjUFkki8WZtRk1W9XRuq6qqUFVVBV3X4XQ68fKWl6HFNfTz9MMg7yDRLoBcNqmVQyo0mo1GeXk5ysvLG+twDMMwbY62VkfR3FRUVOC7774DAIwaPqrGfTIyMhJ/uGUApRAW1NaJOFMdaz8Tqt+ild/i4mLIbhkSJEguSaTaUUoM1ceQGCVLa2qKSfUHXq/Xlg7pcDlQUVEh0pfaQjTJ2qjX6XTaJpnUH4kiG3TurBN7a8Pkhhg2WEnulaSqqmgoWxwrFuK2pV4Xq4U5RUcpwmGapkizo/dfVlYm+oN5vV5IkoRsZKOXsxecTqfoJ0URkqYUKFajA0qzJCgVs7m+y6yvXZNIou8OuscpzTEYDApHx3A4nBCBDhN7InsgQ8YlOZcIF0z6nFBTXev3Rl2kfUWeeuqpam+uqKgIr732Gk4//fR0D8cwDMMAqIhWYNCLg9C3fV/830X/19zDaRMs+2IZ4o44enTugY4dO9a4T0ZGxj6Hu3gxJEPiXkn1QJEKSo2hlWqyoC4OFcPpcyJuxuFXE+YY2dnZyMxMTKgpJYyEltPpFCvhFGEikeT1epFTlnAfdKtulJSU2KyCWzuGYYgJotvttllvUz0SOduRSKHIhaqqor6DbJX3Z6JubQBMBhIkkvbqe8VEt6V+ZqziLhaLoaqqCoZhCAFE9UmqqkLXdQSDQUSjUQQCAWFTTREkp9MJv99vcxRsSlt0Or5hGFAUxSaSaGzNlQZJ9yUJdStUo0ifZbfbDcMwUF5ejlAoZFu0UhQF2RnZeOjQh/BN0TfoqHSE3++H0+kUCydVVVVwOp1o165dSmNL+9PwxBNP2H6XZRm5ubmYPHkybr/99nQPxzAMwwBYXLgYv5b8il9LfkVYD8Pj9DT3kFo985fPB24DwpFwrftkZmbaVh1pktmS6yqaGhKQNOGm6EUoFEIwGEQwHITDuy964Xa7kZmZKfancxwKhcTjNIGkCShNPj2efZ8TKpSnCVU6K8YtEeu9mDzxpceDwaBIfSSBQlEkimRYe/Tsz0SdRFI8HofD4UBGRoYQSaXxUgSDQVuUr6X1SqKUUUq1I3MGj8cjzjGQuO937dolohyZ7TLx4YYP8Xrp6+gsd8YlnksgyzIyMzOFmD9QIokWEFwuF17BK9iLvbg6fLWt/9uBhkRzTQKJIsrAvmhYaWmpSK9TFEXcV/T+qqqq0EnqJFoKkAFMVVWVuF75+fkpjS1tkVRYWJjuUxiGYZh6OOewc+CQHTDiBgrLCtEvt19zD6nVs2TTEqAXkJudW+s+9EeWkKREryQqAG6pq+JNhdWwgWoHKF0mEokknL5gQIYMDxKmAWT9TdbTsVhMrB47nU6bEKJICaWPUfQJAGTICAaDbaahLKUdxmIxuFyuag1cdV1HKBQSlvUAbAXwqqrC6/WK/jz7O1EnAw46vtvtRnu0Rwd0gB9+Yd7RkhYYSNAZhiFqqhwOh+0cqqqKiooK4Q5HKaWmaWJ1dDWu/+x67AztBABsjm3Gj3t+xGWOyzAia4RNJDWl/TbV8pA1ucvlQiUqUYUq7NX3ip5kzQHdD8n3Lwk6q0ii+zkSiYjvGsMwUBWrwqLSRTgtchq0oCbqvSiSVF5eLu7P/Pz8lN3tGkW2mqaJjz76qMYmswzDMEz9SJKE/nn9AQAbSjY082haP5qmoRCJRb/TDjut1v3cbrctBcnhcKCkpMS2Os/sg84LpRXRpJjseSsrKyFDhl6sI0fNgdPphM/nE0KI6hMikYiYhFon7iRYaWJl7ZXkyHQgHA6LMbR2AVtTSqIVirjRuSTxCcDWyJR6zjTGRN16rQKBAAZgAK7G1RiBEbZmtgf754aidDQJt6aPUh0RkDjv1usgSRJ27dqFSCSCFRUrMGvDLCGQiLJ4GR7f/jiW7FoiBH1T9UiyYrUBz8rKEjbgZWaZeI/NgfWetEKLKyTw4/G46FNHtUXUH+ydXe/gje1v4IHCBwAk7r127doJwwZa1MrKykJGRoat4XJd7JdIKiwsxF133YVDDjkE48aNE4NgGIZh0qdndk8AwIZSFklNzcpVKxHvnJjoTBg8odb9nE5nYnIhAcgBkLGvWSTR2iMW6WA1bKDfq6qqEAwGEYlEEAwGgUrAFXUhw5UBWZaRlZUlJnC0ak9pYdZUOwDC4Y6EUHZ2NgAgBzmQi2WRjtPaRZK1bww1402OApGRgGEYNst6itCRuQKl3zWGcYDVvMFqbw3sMz05mAUS1cBQnQvVypBAovoWa88n6oNkmibKysqwZ88eaLqGV3a+Uudr3fH5HYhqiehUU0eSAAghRv2wrL2SqH6qOagp3Y7ubzrPpmmKBRBd10VUsrKyElsjW/FxyccAgNMDp8PlcqF9+/bIyMgQ3z+SJCWsz7Oz4fF4Ur7X0xZJ0WgUb7zxBk488UQcdthhmDVrFm688Ubs3r0bH374YbqHYxiGafO8uvpVDHx+IP6z7j8AgM9/+LxVT/AOBuZ+PhdwA46YAwMLBta5r9/vh9uTmJzjt8w7Sk9pCaviBwqrYQPVDlVVVQmHNXKrI6vqZOtvmgxRSlhN0RFyuKNJkt/vF5MrVVHhdDqxZ8+eVm/cQGlIFLVLrr2yGmUA+66NdX+v1ysmzo0VybAew2rbbmLfJPdg+8zQuYxEIohEIjbXOmBfVIkEJzXnpXNK3wWxWAy7d+9GNBrFem099up763zdbZXb8MX2L2o0LGgKrA1v/X6/TSRR2uaBhsRl8jmwiiS6b+n7Q9M0BINBcT3mFM1BHHEM9AzEUf6jkJOTIyLTVNfo8XiEG2ayeK+LlEXSN998g2uuuQb5+fmYPXs2xo4di61bt0KWZYwZM8YW8mYYhmFS5++f/R2rd61GqDxR6PvekvfQrVs3zJ8/v5lH1npZ9OsiAEBvtTcUue4Jis/ng+pQgd/m3MWlxSLNA+BIEmGNIkWjUeH+RecpGo1ib+VeGKaBnJwcEc3IyMiAoihiwqTruli5T17xJZFExwsEAmIiTjUHe/bsadXmGnSOaJJOkSQr1sk8AFEbRuLT6/WKOqbGFEmUumet13kJL+EBPIAd2g7bOA4G4vG4qHGxTsit9VnWnl8UiaHFAEoVU1UVxcXFiXRSWUbEmVpm1a7Qria3/yboGsfjcaiqiiwpC8A+kWQVhgcKq6W6NRJK9XT0nUKpd6FQSES8DMPA1+Vf44fQD3DAgUvzLhVpdoqioLKyUtyLtBCjqqr4vkiFlEXScccdB5fLha+++gpff/01rr/+enTo0CHlF2IYhmGq8+677+LzrZ8nfvkcwFIA3wLbt2/H+PHjWSg1AaZp4hftFwDAKb1OqXd/Kv7Fb3NILa5xr6QkKE2OVuUpTcbqBGYYBqpQBalr4kQ6nU5hsU5CkybRDoej1ma9JAii0Sg8Ho9tP1emC3v37m3VkSQSGdTviHrHWKFGm2QPTqvyVpdASjuiCWpjRZLoOB6PB6qqQvvtv2K9WJhIHEwiiUwYXC6XcPyj9ENqrksGInSv0XY6/4ZhoKKiArquw+fzoUtWl5ReP8+T1+TOdgRda+rjlKPmAEiIJKuYPpDUlGoXi8UQDocRDodtfZKi0ahwspMkCWEtjH/s+gcA4LSs09AtsxuysrLEIg3VemVlZQmzCurDliopX5WTTjoJL7/8Mu677z58/PHHrfbLh2EY5kARi8Vw7b3XAhkAdACrAHwK4Kd90Ynp06fzJLyRWbduHfTvdCg/K5g0bFK9+wcCAVvalwxZ5MUDHEkC9pkIkOsc1RM5nU5UVVUhHA6joqoCco6MGGJQPSoURRHnllbmqR6prhoZq0hyuVzweDzQoQM5gDOQeD0SW63xs2Ot26IJfLLAoR4yVDunKAp0XRcC1Ov1iiab9PzGFkkA4HK59jWUNYrFGA4WkUT3BxkyUPSSRBC9H3L/szbvpSgHAOzevRvBYFA06D2u4Djkump3zZQgoZO/EwbnDRbipamh90Cfrzw1D+3QDlnIEq6QzRVJstr/B4NBWwNkSh2NRCLiGui6jvd2vIddxi5kKpk4P/d8YQBDKZNOp1NErEkEp2rYQKR8VRYsWIAff/wRhx12GK6++moUFBRg2rRpANAoHyyGYZi2xtKlS7HLtyvxy2YASdlBpmli69atWLp06QEfW2tm2bJlwGpg+M7hGNR5UL37Z2Vl2WyoAYi6BQAHzYSvOamoSKTs0ATT6/XarL8jkQiqwlUAALlShteVqA8IBAJQFEVEFyj6VFOqHUGCldLyMjIy4ERim0N2oKysTByvtQlYel9WwVNTLygSpsC+/j4kqijtiCaPjR1JouORcyHVvlhFUnP15EnGmu5VE/TZpsfpHrUukASDQYRCIcRiMXi9XjidTsSNOCbnTa7ztWcOnwlZkg+IaQO9B/pMKYqCbp5umIZpuBAXCsv9A31dku2/TdNERUUFIpGIEI9UL0bE43FUVFRgkGsQjvcej4ntJyIvKw8+nw/RaBS6rkNVVeTk5MDlconvJWqenA5pSdcuXbrg7rvvRmFhIV577TXs2bMHDocD5557Lu644w6sWrUqrRdnGIZpyxQVFQE9fvuFWtBlAOj22/+t+zGNxrJlywAAw4YNS2l/skrOQQ5QlogklZeX24ri2zJUz0G5/16vV6R4katdJBLBLnMXTJhQkYgiUTSDIEc6h8NRzbDBCk106Pxbe54oUBAKhcTktrUJWHK0o8l6TRE3iuhRqh2dV5qIU/TNGilpzEk6CQpJkuD3+0UkqRzlIt3uYBGvySLIijUtkB4n5zuaxEciEVRUVCAUCtmiT8XFxRjoHojpBdPRXm1vO26eKw/vjH8HZ3Q/44D0SCKstWfUUJage+ZAfl6s55dS4EKhkHBjJIFjbRxLEev/Z+/N46Sqr/T/9619752m2ZFuVhfELRJAEY2amBiXaIyTqHEm6yiayTbZvxnzS4wzEbMYTcyoySRjoqLGZETjDu4CiogIzSZrL9Xdte91f39czodb3Q12Q1VXd1MPL140XVW3PnW3Os85z3lOJpOhzl7HFxu/yHljz8PtdqPruiJEfr+fmpoaVfEXqd1gcdidYueccw7nnHMO3d3d/M///A///d//zc0333zUf1lUUEEFFQwUDY0NBiEC2Lr/348BLcBfMeR3QFNT01AvbVTj8a2PQx188IMfHNDzJesOQO4ASZIG4uES8JULkuWVng44YC4QjUZVYJyKpdB8Gm6/0QsjVSRAVX3Enri/6ohAzBsk3hAbcACrz0p0R3TUOg+K1E76LURCZYYMNhWSZK4kSTbd7/cXzEcqptzLvC2v11tAkuSaGQ6VJPP50V+fipyTUh0Tlzv5DOIIF48bhjtmAnL/9vtZF13HZ8d9lnsm3sPG+Ea2tm+lxl7DJ077BMfNOo62tjZlUDJUkPcSAiswW2sPFcyGGHLOyL1EKkiRSETJ7OT+0NHTgRWr6q2SMQ1CVL1eL01NTUoSKft4MIYNgiO+KmpqarjuuutYu3Ytr7322pFuroIKKqjgqMFxpxyHZ6cH2gGZN9i9/99a44ts4sSJLFy4sEwrHH3YuXsn+z64D64Db/PA9Omapin7WEEqlVIWzKMtEB8spKJjDkJEkiS9BXk9T9qdRkOjjroCVzs4UEWSIbSHCtrlOIgZgdld1+K0kM4eyIqPpsStmUgerOKWy+UKhh1LkC+yJrFfDwQCiiQVS2onMB+73pUk6aUqR/9Lb5hNA/r7/P1J7cQxUJztotFoH7K1o3MH93Xcx+ux11mXWofL4eIDYz/AwpqFHOs7ltrq2oLq3lA42wnEBjyXy2G32/kbf+M/+U/ezL+p+pKGCnJOmvuRzPOnurq6iEaj6jnZbJZEIsGPdv6IX+z7BREtgtPpxOFwqOvd7XYzZswYPB6PkkQLQRqs1A6KQJLMmDdvXjE3V0EFFVQwqtHob+QPF/0BbkfZS9O1/98a459ly5YNyQyNowV/fOqP4AJLxsL8Y+YP+HViIWtG7wDpaIS5N8schEjGXQbvdoW7wAp6WMfr9arAxUyIxETgUFUkoIAciJuY6rXAisVjIRgMAqNLCilSOzOh7L2vpJ9DMuhybpqz9m63u4DQFltuZ96ez+ejzlpHI42MZSzJZFKtpdzXzUCldnL/zeVyfWztJagXwpPL5fjNtt8Qz8eZ6prKRRMvor6+HpfLpc7vqqoqtQ/6qwSWEnK9CaFIkyZKlBAhJWMbKsg+lM9vrniKnXo+n1fmJNlsln/s+wetqVbWJdbhdDjVvSCbzeLxeKipqaG2tlZ9lnQ6fViGDYLS22lUUEEFFVRwUFx88cVcdZWpwXd/JcneaOeBBx7g4osvLs/CRin+/vbfAZisT37f+UhmVFVVGYF4LeCAzmBnQTb8aJXciTmADIcVZDIZYrEYsVjMCIYyoO3ScGacyt7b6/UqtyoJSs3N5YeCPCeVSuHz+RRZsGHD7rLT3t4+LKoVxYLsH+lHEomSeZ9ns9kC0wohKmaTB7fbjd/vx2azFcwDKgVJEplTk6uJL/JFPsEnyjaPpz/0Zz8tMBMo2TfpdJpoNKqs1OX8ksoSwGv7XuP5sDHS4fpp1xPwBaiqqlLGCG63G7fb3Wf20lDB7IRoNtUIEy4gsEOB3vtf9lFnZ6cyHhGbeoCeeA9/2PcHAD5W8zEaXA3Y7XbVH1ZVVUV9fb0igSKLPFypHVRIUgUVVFBBWZDIJFjXto68nqejowOAE088UVWS3OPdXHTRRWVc4ejEuvA6ABZMGJhpg8Dn8xmVEg3wQ4aMclIabbKugUIapYE+UhYZBimBF4AtacODMcTU5/MV9C+JLEbkQO8Hs3mDx+Mx5r5QB0FwpBz09PSMquNiNqIwGzaY95W4rNlsNvXZRfYosjtzBQ/6DvEsFoQkiRzK/DnMxhPlxKFIUm/XO3FUSyaTikTIPLBUKoXFYiGbz/Lr934NwJKaJZw67lSqq6txuVyqb0lMYPrrxxkKSBJCZH5VmiGFFJIkw3RLDamGwoE+KZmNFAqFSCQSBcNfdV3njzv+SHeum3prPR9r+Jjaj2LU0NDQgNPpRNM05arpcDjweDyHLWmskKQKKqiggjLg+R3Pc8IdJ3Dab0/j+eeNzOM3vvENVUkKp8IEE8EyrnD0oTvUTbg6DMCn5n/qkM8Vfbz021RVVRX0f1ixKnnI0QqRf0kwLNB13ZiLtN/1y2q1qiZ1mVvi9/vV/pRgXvqRBgIzSeqdKbbb7XR3d6v1jQaYP0s2m+0jtcvlcoTDYWVDHYvFVIVOpHdWqxW32636kYCSVDLkvWT7cqx0dDLZzJC7qPWH3qYMZpjd9+SxbDZLV1cXmUxGGWaIsYA8Z/nO5byXfg+vxct1s65TskZN04jH41gsFmpqDB21ENehcrYTmOc9OZ1Oam2G6UmYsKr6DgVJEjJmNsUQJzuRMNbU1GCz2XC5XLR2tvJQ20MAXNlwJS6bS+03j8dDXV0dDodDJQjMUrvDrSJBmUnSD37wg4KyrKZpzJw5Uz2eTCb58pe/TF1dHT6fj0suuYS2trYyrriCCiqooDh4cuuTADRZmohGo9TW1nLhhRdiyVvAiOPZ0rWljCscffjT038y+pHSFs457pz3fb45WBJJl4sDX7jmYG+0VCwGA8mqSwVIkM1mldRO13WSJOnKdyk/XbEJN5s2SEZ9oCRJHO6EOFRVGRlxGQgaCoVGzZwk+Ry9JVrm2TLmKpJYoIvkTl4rs4uqqqr6lZMVE+bjabfbeYzH+DE/ZmVypXKFKydRMleKen/+/h4TEwFd13E6narqIQNPU+kUT3U9BcBV469ibGCsssKXPiabzUZtba06HkAf441SQ84b+bfebtiThwmTTqeH7Lj0Ns2QPq9IJKJsvO12O4FAgGw2y883/pyMnmGGYwbza+ar17ndbmpqavD5fNjtdmUTHovFsFqtQ0+S2tra+PSnP824ceMK7CcPt/lszpw57N27V/2V+RUAN954I48++ij3338/zz33HHv27Kno8yuooIJRgSe3GSTJvc8YUnrmmWficrmYPHkyPA9fm/E1JldPLucSRx0efuNhAMZlxr1vP5K5+VzXdSX98GI0AFux0tPTo+RmRxtJMkvtegchuVxOGTZks1mi4Sg0GfbcMmzT4zFkdxKUyfDYgUqPzCQpl8spG/CUL4U1YCUcDqsm8HJXLY4UZqldLpdTvUjmKkcsFlNDNEOhkJIvSg+QyPO8Xq+aKQOlk9uZtxsIBNDQSJMmmAsqcl3OKuyhTBt6Gzak02k6OzvV/pU+mO7ubrUNPa/z3XHf5dqma7l02qU4HA71+lAoBBgVD5nVI0YPQ02SzJ/LYrEw1jsWgChRIrGIWlup0dvZTpxCo9EomqbhcDjw+/3ous7urt28E34HDY0ra69UckGr1Up1dbWq8kslWmS+IrU7EmOMQYv0rr76at577z2++93v0tTUdMQZCJvNxtixY/v8PhQK8bvf/Y4//elPnHXWWQDcfffdzJo1i5dffpkPfOAD/W4vlUqpGzcYTi8VVFBBBcMJnfFO3tj3BgB7XtgDoO5zLS0tbHtiGzPjMxnr63tvrODwkXoxBe/B5f96+YCeL1l4kcUUDCO0QXd3d8Ek+KMJuVyOTCbTb6CXSqXo6ekhkUig6zrb09uxYMGBQw2QleZ1YFCGDQLJhosNuMiYADS3RiKYKCAXQ9n3UWxIH4+QQqnciXtdIpFQTotC3IVISfBpsVhU4Gm325XZQLGd7QS9He56GwSUu8rXO0gX9CfD6+joKDAoiUQiSnonJgG6ruOxe7ik4RLsVsOhUWSn0o/k9/upqqpSxH2o7b8FZoe7GkcNDTTgxUskHSGdTg+JRLW3s10ymVTVUDAqwxaLhUQiQS6a44djfsiGxAam+aepiqjX66Wmpgan06nOb5HZ5XI5NTT5SDDoo7Nq1SpWrlzJ3Llzj+iNBZs3b2bcuHG4XC5OP/10fvzjHzNp0iRWr15NJpPh7LPPVs+dOXMmkyZN4qWXXjooSfrxj3/M//t//68oa6ugggoqKAWe3vY0AMc1HMfrz74OFJKkJ554gs2bN5dtfaMRmUyG1194HRLw2SWfHdBrzJUkMDLBWIEcEDhQMTE3IR8tkL6B/mb1SIO7VDDChA3DBpxKQmN2+DI3kg8Ukm1OJBJkMpkCAmv32OlIdihTjZFcSTLPRoID56Ts81QqRSwWI5lMqqAynU7j8/kIhUKqp056g6qqqhS5KqX9tJmA+f3+gllJsqZyVZLM9t69yXPv30ej0YLKXCaTIRKJqAQBVniu6zlOtJ9IwB9Q1TrZx6FQiEgkgtfrpbq6WlWhhLiWY7yD2RzF4/bwZb5sfOa8RV3XpYR5/5t7iOLxuCKnXq9Xndvd3d1Ychbm+eYpIxCRLvp8vgJpZyQSKZDaHc5sJDMGnVqZOHFi0dj/aaedxj333MOKFSv49a9/zbZt21i4cCGRSIR9+/bhcDiorq4ueE1jYyP79u3rf4PAv//7vxMKhdTfnTt3FmWtFVRQQQXFgvQjzXDMIJlMMnbsWNWP2dzcDA54cc+L/H3T38u5zFGFtWvXkkgkqKurY9asWQN6jQSk8oXu8/nwuX2QAbogTlwFPEcTSertamcONPP5PJFIxMgA53LE80Zm2JK1UFdXpyRHVqtVDRUdrNROIAFQKpVSttYAFixkyQ6L3pcjhZxX5lk88lf6YmQIqPTIWSwWqqqqSCQSBVbgdrud6upq1TRvluwVG+Z19h4oKy5q5bpmDmXaYCZJ6XSaYDCoziMhoVKtsNlsPBZ8jFvfu5Wftf1MGYjINuPxOJFIBF3Xqa6uZurUqUDhzKpyVDiln0fX9T4DoKPRqDKVKBXM57L0EMlg3lwupwxJ2kJt/O87/0tPqIdsNqskjHa7nZqaGjWMWqpIYpCRSqUMafRhzkYyY9CVpGXLlvHNb36TO++8kylTphzRm59//vnq5+OPP57TTjuNyZMn85e//OWwS2TFYI4VVFBBBaXEU9uMBl/7TiMbvHjxYhXItLS0QAM8f8zztP6tld1f2V22dY4m/OKZX8BZcGzDsQOWF/WuJFVVVeFwOKiz1xEkSCKYGNK5IsMFIrUzO5eZHxOpnaZphJNhLFiwhqxQh7L/lgDaLAUbLIQUZTKZAxbtWYMk2T12urq6GD9+/IglSebZSJqmqeqFkHIJ1tPpNFarVUmVROollTQx13C73fh8vpKbNkAhSXI6nYZBQAYiRIglYsqtrxxSyIN9fjN5MleBRBqWSCQUebLZbHQkO7hv330AfLDmg9hsNhwOR0F/TSaTIRAIMG7cOPx+P3CAJJVrSLj0p0k1VqCjK6laKWE2xrBYLKp3MBKJoKOzKb2JjVs2suK9FTzb/iynOE/h6sDVKsHicrmoqqpSCRqpiKbTaZLJJJlMBr/fXx6SdPnllxOPx5k2bZpqwDSjq6vrIK98f1RXVzN9+nRaW1s555xzSKfT9PT0FFST2tra+u1hqqCCCioYCdB1nTsvuJMntz7J8zcZ1t8itYP9JGn/bXRPZA+JTAK3/ch01RXAP9r/AYvAb/cP+DW9SVJ1dXWBJEz6QaRaIQHWaIeYJfRn2S19BSJD7Ah3YNv/x+PxqB4CCeAlE3w4gbLZvEElSGOgoeFwOejs7FQkYyRCzqlMJqPcv4SYSjXI/K8Qj4aGBtW8Dqjj5PV6cblc6tiUepCpbN/pdFLvqseSsZAnTzAdLOtA2YPNRzKTg3g8TigUKiBzch+Q43HvvntJ5BNMd0/nvMbzVFXE4/Eowwy32019fX1B3CoyQ/Ng16GEEAtx6nuFV1jJSo7lWI6PHV9gz10KyH42D4SOx+M81/4cd++7m65sIY+opVYlQUQyarfbFUmSKnQ8HicWi6l+pWL0ex1WJalUiEajbNmyhU9/+tOcdNJJ2O12nnrqKS655BIA3n33Xd577z1OP/30kq2hggoqqKCU0DSNs485m9MbT6f6hWqgkCRNmTIFLaWhJ3VwwdburcwZM6dMqx0dyOQytDvbAbjkpEsG/DpzkKDrOj6fr9C8AUZ0EH44kEn2Up3oHYiImYXM8mmnHQcOrFipqamhqqpKzWkR04fDkdrBAZIks2v8fj9al4aOjt1hVJJGqhRSJI1iTCEBus1mUwMzJXOu6zrxeFxJlfx+P52dneoxISrV1dWqYV+kZkNBkqxWKw67g2lMQ0Mjm8+qtZWjktQfSTL3yaTTaaLRqHJoFKJkt9vVzKk3w2/yYvhFLFj40pQvYdEs6poQs5d8Pk9dXR3jxo0reK9y2X8LxPhA+nbAcLczSyFLeVyEJMp9IJ1O89fNf+W/dv1Xv89/PPU4J+RP4EPuD+FyuZStt9w35FwWqZ3X6y1KFQkOgyRdddVVRXljgK9+9at89KMfZfLkyezZs4fvf//7WK1WrrjiCqqqqrj22mv5yle+Qm1tLYFAgOuuu47TTz/9oKYNFVRQwcCRy+VYuXIle/fupampiYULF5at/H80YtWqVWSzWSZPnqy06mAEflOnTGVr11YYB1u6t1RI0hHikVcfQXfqkITLFl02qNeaHe6kaRgAO5BB9YR4PB5yuVxZ3KqGEtJk3Z/UTtzVzM5pc5jDtl3bsLvtargmoIL3I3H4kmMhVRS/308ttQQJYrPa1HDMkURiJUCVdUsvjAz/lMAwmzWIRjKZJJ1Oq34kn8+HzWZTfUpwoJJUV1engvehIkkSkLvdbq7kSgC8uldVZ4a6mnQw0wYzQUokEgUyOyH8FouFVCpFKBri7ra7ATi/4XymeaaRz+eVPbiu6ySTSXw+H/X19UpmJ+9fTvtvQB17qcLU2eoge8B5sNR9fOZKUiaTIZVO8bMNPzvka+7eezcXtFyA1+tV92GzFX46nSYej6s+q/ebjTTQzzegO1M4HCYQCKifDwV53kCwa9currjiCoLBIA0NDSxYsICXX36ZhoYGAG699VYsFguXXHIJqVSKc889l9tvv33A26+gggr6x/Lly1m6dCm7du1Sv5swYQK33XZbZRZZCZHX83zn6e+wYNICnnnmGaCwH0nQ0tLC1u79JKkyUPaI8ZdX/gJAXaQOj9vzPs8uhJkkyfR3AAJgCVrUPB44IMsbzZDg3Wq19ukjymQyhEIhtT9sNhudnZ3YsVNXV4fb7VaBfiaTKZhtcjiQ10pfTn29MRiTFNhiNoIER4S7nQTOZkmXZPLl/yKBymYNQwpzIC/DSu12O36/n3g8rn4n23c6nQQCAfU+pTRtEEgVSdf1gj5zkQLKZxpKHMy0QYhpLBZT+9ZMJuU8SiQS/D34d/Zk9hCwBrhq4lXKTdDj8WCz2YhGo9hsNmpqaqitrS24v5tlhuVMqIh5g8PhoMHZoEiSkOtSXTPmIcdWq5VEIsGqnavoSHcc8nUd6Q7eib3DWY1nKTJqnvcUDodJJBJKaifnXe+/cpyj0eiA1jugI1RTU8PevXsZM2YM1dXV/WYe5KQbTFn7vvvuO+TjLpeLX/3qV/zqV78a8DYrqKCCQ2P58uVceumlfb6cdu/ezaWXXsoDDzxQIUolwlttb/HjVT/Ga/cy8xnDzc4stRM0Nzfz+LuPA0YlqYIjw0t7XwIPnFh74qBfa+5L0jStMEPpMvpwxdJ4uAfjRwqpIklVo3eQHQqFVOO0BDDhcFiRqZqamoLsuThVHS6kCiUkyefzAVDnrCOuGf0JIlkbjhCXLyELck8W4wBd15XUTp4j/UjpdFo1vAtpDQQCeDweduzYoYiqVCyEJMn2Smn/LTATETk2OjpZPaskm0N9bMzVNfO1nc1mCYfDpNNpwuGwqrJJUG+1GgOKU6kUs12zaXY387Gmj+HCBXZUD0wqlSKdTlNXV0ddXV2/g5ZL7Sw4EEhF0mKxUO+oh5hhqpHKpArkncWGfH7Zv+l0mp09A3Oh7s52qxlhIrWVc0j6IGVIde/PYO7bAwZcQR0QSXr66afVNGvJflZQQQUjD7lcjqVLl/Z7A5Qg8IYbbuDCCy+sSO9KALH+nj9+Pk+9bjjcLV68uM/zWlpa4CXj5wpJOjJk81n22IyBvReecOGgX9/bvMHv92N32iEFeI1A92ixATdL7cyzVgSdnZ2qYd1isfDi9hfJ+/JoOY2amho1PwYO9KscaTbd6XQSj8fJZDIFfQh2u51QKKSIyHAaKBuNRkmn0wXrkaqYxWIpMGOQQF2qGTIwU34nRMnr9eL3+2lra+Odne+wfsd6pgamksvm8Hg8BALGDB8xcyi11A76kqT1rOev/JUpTOGE5AllGSjbn9ROZh/FYjHVcyTkMhqNqmMh8sZj3Mfws3GG5Xc6lcblcikThmQySSAQIBAI4PV6+5xzYq8t7nLlgqzXYrFQ767H0m2YanQkO0rq2GkmqZIE8Om+Ab12QtUERW7lXiTo6elRUjtxdwQKiK4cU+mFGggGdHc644wz+v25ggoqGFlYuXLlAYldPRDf/3c/dF1n586drFy5kjPPPLMMKxzdeHKbQZImZiaSz+eZPn06EyZM6PO8lpYW2A7j147ne5/93hCvcnTh9c2vk8/mIQefOutTg369BDlmkuS0OyEBWCCYDaqs5WiW25ltp4Uk9X68u7u7YIDrLnbRMKYBrU2jvr5e9RHIkNkjkdoJJNiTgbJ2u522TBsWu4WknlRVvuFybKRiIZCsOFBAjoACEinmFKLYEXIUj8ex2QznwEQiQXd3N2/te4sd+R1YQhYm+SehaZpSAfVXSSkVhGxYLBYCgQBOnKRJq96X3oHuUECCY3MSMBwO093drSpy5n0u53skEiEcC6vhuG6XW+1Lp9OJ1WollUopyWNvJ0yB2bSgnCRJbMB1Xcfj9hAgQA89BDMH5kKVwuFOJKDiBJhMJml2NFNrq+3jamdGo6uRU8acoq4Jud9aLBZVMbbZbAQCAXVPkAqhSPvktRaLRSUL3g/DI61SQQUVDAn27t174D8fAb4O/ACYcIjnVVAUpHNpnt9hWH6n3jEGcfZXRYIDNuDd/+jmAxMqRjVHgl1v7YJbYNZzs6itqT3s7ciXslhYy7dnLpRT82lGs9zOXJGx2Wx9SFIkElGZdqfTSTAdxI4dW9CG0+ZUgyAl0C9W47rZBlwy+jo61jorecsBi/bhUuUz23L7fD5cLpeSvkkAJ4ROhmxmMhllzCA2x6lUikgkQiqVUoN5xVnwnOZzmFc1j6l1U9V+rq2t7dMPMhRBuki6nE4nNZYawBgoK4Nuh/KaMRNQIUnZbJauri6SySQul0udm0LgZN93h7v57s7v8nDkYWxug/yk02lFcmXb1dXVRiJlP3HqjXI72wlE7ifn3QQmMIUpaGjKKbEUkO2KU2AymSSbznJ149WHfN23TvoWHrdHVYpEqmu32xXh9vv9BbOopGon5EiSNINBhSRVUMFRhKamJuMHBzDJ9MCYgzyvgqLh5V0vE8/EGeMdw7on1wH99yOBYQMuwyH37NkzlMscdVi1ahXocNZJ/e/r94METWAEWV6vt6AJPU9eBbDDJRAvBcSq1+woZUZ7e3tBFakn0oMDBxYs1NTUEAgEcLvdBRbUxSJJgLK/lt4XAIfToWzAhwuBlUqCy+VSTl0iAZLst5Al2c/Sw2JuPBeSBCj7Y5l/BDCpahI27cDA0P5I0lDAPCtpjNP4okmQIJqOqkB2qNC7HwZQVt8Oh0MRVnFnlMGq8Xicv3b+ld3Z3ayMrCSvHaiAyfHTdR2Px4Pb7SYQCBTcN8wYLiTJfH7Z7XYu5VKu5momMEH1ixW7+iqVHXn/ZDJJIpEgk8nwgaoPcG3jtQS0QvO3Mc4x3DzvZi6acZEaJiuJFpGmJpNJrFarur/IfUjIkdnkYbCokKQKKjiKsHDhQkPeNQUw3zPqjH80TWPixIksXLiwDKsb3Xhqq9GD9MGmD/LWurcADipptNvtTJkyBZrgFyt/UXG4O0zous7KVSsBWLBgwWFvx0ySCmYlBY3BpfJFPVrRW2rX29UODhhYSCC/K7ULGzYVlEpwYzYNKEag2LuPx0yS7C67Gig7HAisOUiUbLjD4SjoTxHbb+k5kuDOarUqEwBN01Qga7PZVNXj1fdeJa/l6erqUvvW7XYr8mje7lD1Z0kw63Q6CTgNyR1AW6KtpL0v/cHcj2QmSWDcc3O5nHIMlCpHLpdjd2w3f+35KwCfm/o5PBaPsmaXSqbFYsHv9xMIBAqOmxnm419ukiRE2W6395n9Fo/HS1Llkx40If5i2y29d+/G3yWsh5lvn8+NE2/kV6f8ir988C98tPmjajaS+dhJD5iQWpfLVSCnNCcfDhcVklRBBUcRrFYrt912GzT3eqD2QCC4bNmyimlDCfBG2xsANMYaATjuuOMYM2bMQZ/f0tICZ8HN797M09ueHooljjo83/o8axatgQ8XjyTJl2/d/syCJW8hkUgoa9/h0vtSTEjAJC5fvQO8ZDJJLBZT2fW8nqebbhw40DM6DQ0NKksvQU6xgkSz9C+bzeL1etWxsdlsqk9qOMxKMvdImImmkCUzcZFqkUiJ5BwUoxDJwAvW7F3D43sf509r/gSaUeFwu93YbDaqq6uVJG+ondXM0kq73U4VVQB057tV78tQEdj+TBsSiQSAkiuajRokkL9n7z2k9TRzvHM4e8zZ6lp3u92qiuR2u/H7/YrI9rd/hRQWw7CkGJBkhfn7Pk9eEZdikyRzFclshKHrOjo662KGwmKuYy7njj+X4wPH43K48Hg86v4BB/oL8/m8kpjKDDYhrsUyxhj0VXLWWWfR09PT5/fhcPig0pEKKqhg+GDKlCkHSNJr+/+tM+YkVey/S4eHL3+YDV/aQOrNQ/cjCZqbm2F/H2vF4e7w8KcX/wRV4B7r7tcgY6AwkySbzVYwRFVmdEj2dTRCJF5Av1WIvXv3qgqI1WollA6hoWGJWNCzOvX19QWuUiK/KhaEJGUyGerq6tTvbRj24Ob1lxNSaTtYpUHIk2TazdI66btKp9Oq/0sC7kQ+weOtj+PBw5zAHNwuN6FQiL1799Ld3Y3X6y0I/IfC2c78meSzejyGQQAcMDwZyiqfeYgpoPZnNpslEokQCoWUQxoY5/orwVd4PfY6VqxcN+26PskC6enxeDz4fL5DDukdLs52AjE4cDqd7LTv5BZu4W7uVgmPUpEkq9VaQPQtFgvb4tsI58M4cNDsbFa9RTJbzWylbrb9jsViqr9PSGsx9+2gqeyzzz6r3GLMSCaTrFy5siiLqqCCCkqH7/zsO9ACmq7xz/P+md/yW7Q6jS1bt2C3lVcCMJqhaRqzGmbx4lMvAgfvRxK0tLTA68bPFZJ0eHhm2zOgwWz37CPaTm8bcJ/PVxDkmmcl5XK5YZElLhb6c7Uzk6RUKsW+ffsKLKmTuSQ+fNjSNuxOu+olkOBfnO2KBbPDnXmgvdVqJRg8EIyXG3KO9FdF68/VzrzfhTCFQiE1j0r6aP7ntf8BYCxjcWVd/OY3v+Hdd9/ltNNOI5vNctddd3HTTTepwdVD6axmJkk+n49JTMKCBWfGqXr5hqL6KqTTbEsej8fJZrPKPlrTDBdGp9NJMpkkmozyu72/A+Aj9R+hOdCs+qgCgYCqBno8Hurq6lTf2MHObfOQ5eFEkiwWC167l1gmhhWr6m0r9jVjNs0Qoi8VqzWhNQBMtUyloaZBrcvtdquKqBA3qchJpdXtdlNdXV2S6uiA7+Tr1q1TP2/YsIF9+/ap/+dyOVasWMH48eOLu7oKKqigqNi8eTMrWldAC5zccDKfO/1z/Pbh36JbdfbG9jKpatL7b6SCw8bu3bt59913sVgs7ztOQRzugEpP0mEgm8+yNbcVbHDuzHOPaFtmkqTrujEryWEHP7A/3lWykVEmt5PMuVSJegf4HR0dxONxFWTm83mm1U+jbVMbyVSSqroqleWVoKvY2V7pC8nlcgWmGla/leie6LDoSXq/fhTZN7IPzZU7kcdFo1GCwSDRaJRcLofP5+Odve/wVugtAgRo1pr568N/ZfPmzVRVVSnSunnzZi6//HLuvfdelixZMqQk3kzKvF4vi1ikHhPyOhQE9mCmDfF4nK6uLvx+P1VVVdTU1BCPx4lGo6zrWEcoF6LGWsNnJn9G2debzRrsdrsa4itSyoMF62b77+EASVbY7Xbq7EYFNkKEZCqpet6KBXMSQAiOkGRN03gj+gYAs+yzcLlcyq3S4/Hg9XpVwkDOFV3XiUQiWCwW5RJZCgz4Spk7d67SlvaXAXW73fziF78o6uIqqKCC4uI///M/0dfrHD/jeL7zye8we+Js6AZcsGn3pgpJKhHOuvcsGrwNnBY5DYB58+ZRXV19yNc0NzcbxwajklSKmRWjGa/tfI2cLQcJuPzMy49oW/LdVzAryeE0vkE1CCaDqkowHCoWxUQul1OZW4vFUhBgZ7NZ9u3bp4JFmTMjRgJ6Xle9MZJll/6UUpCkTCaDw+Ewgr5MHZ3dnUSSETXgtpwQ4tO7H8n8OBjBnwSDZmKq6zqhUIhYLKay55l8hofffhgfPpqdzbz+wut0dHSQSqVURU36S+x2Oz/5yU8466yzhjxINw+UNWMoEwv9mTaII6BI5pqamsjlcvT09JBIJJikTeI/Gv+DuCNOQ6BB9S+Ji5rMTKqpqVGf4VDVjOFi2iAQ6azVaqXOUYeGho5Od6ZbWbQX63vHXMlLpVKk02lSqRSZTIZoOkpruhUwSJKYjLjdbiUVNVeDbTabMtaw2WxUVVWV7JweMEnatm0buq5zzDHH8Oqrr9LQ0KAeczgcjBkzZtiw4woqqKAv9u7dyz333ANp+OU//5KFMwwHu0n/N4n3tr6H++PuQ2+ggsPCvug+ntn+DBoatl3GLff9+pHA6B2zhI0p6OFUmGAiSL2nvtTLHTX435f/FwD7HjvHzj72iLcnJCmfz+P1eo1AV2YlxQxXLHO2dDRAPq84eYmTnECqGuaeIM2qqQBI13UaGxuVPNE8RLaYEJKUz+dxOo2ZTJlMRhEnWYtIAssBMSjorx/JLG2S50nlQ9Dd3U13dzexWEzJHl/b9RpRotRTz2TXZFbuWkl3dzd1dXX4fL6CwbUWi4V9+/axevVqzj///KH74ByohglJ0tFJkVIVsaG4ZnrPR8rn88pGXZwD7XY7oZAxwykUCpHNZql31DN27FhFXO12O06nUxk31NXVqfNNPuvBMBxJklQpPW4PfvyECdOeai8g7cUgSeZEi1SRhCCvj6wnR45qqpnin6LOb4fDofa12XBE7MOl2uT1eo94fQfDgEnS5MmTgdGXJauggqMFt912G+l0mvnz5xc4fc1qmcV7W99j48aNfPCDHyzjCkcnxPr7xKYTefGegfUjgfFFeszEY2gNt0LAkNxVSNLA8WTrkwC0OFqKEhibJXd+v9/4Yu4wHtPRlbZ+NMntJFAXcmEO7vL5PHv37iWfz+PxeAiFQqTTaXaGd/J26G0CvgC5SI7x48fjdrvVfil2FQkO2IBLpcbr9RKLxdQ6pfdBSEo5YA4Se5MkCeAtFovK4MvnsVqthMNhenp6iEajZDIZXC4XVVVVzHPNY1dwF83+ZvIxI+gXhy+Xy0UqlVIkSQLMYDA45BVpkaA5HA5ilhi35W8jT57b07cPCUkyk1DZ9zJkOJ1OFzgBptNpXtjzAj09PUy3T1cEX8wzvF6vOj6BQACfz1dQcTnY+WWWfA4XkiRSSJvNhs1mI0CA8P4/IqEt1v3MXMnNZrPqmtR1nXH5cVxmvYy8Ja/2p+xfIUXmCnYulyMcDpPPG88vpglMbxyWMHXz5s0888wztLe39yFN3/ve94qysAoqqKB4CIVC/PrXv4YTYeY1M3kv9B6Tq43Ex8yZM3n88cfZuHFjmVc5OvHUNoMknVx7Mr/Z/htsNtuA7ahbWlpo/b9Wln5pKbMaZpVymaMO+d15yMM5zecUZXtmkuR2uwtmi1g4kNkcTYlEs/W3BFKCzs5OwuGwMhlIJpNYLBbeS76HHTsWLFgdVrWvJJDsbfxQDIiETSSPgUCA9vZ2ABwBB8FgUAWp5QhQRX4I/ZNEcxVJ3NZkX4fDYWKxGMFgUAWuMqsrl8tx3rTzsFgs9PT0kEql8Hg8argmQFtbG3CAHDQ2NpaNJLndbmpdtaTjxnHqiHcMKUnqbdoQj8dJp9MGQQgESCaTdPZ0ctv22+jMdvK5us/xUd9HlbTOPMuqpqZGmTUMpNfoYJLVckKuXavVasyx2u88aCZJ4uR3pJBjnMlkyGQy6rjn83msaSsnWE5QNt4y86i6ulpdL3IfslgsBVI7ccErFQZ9pH7729/yxS9+kfp6owRpvtg0TauQpAoqGIa44447CIfDOM9w8t+7/5uzd56tSFJ1czV8Gu7J38Mt3FLehY4y6LrOk1uNioa33ZAEnHbaaX20+QdDc3MzPAaOnQ4CzsD7v6ACwNjv3Q92Qztc9sJlRdlm71lJDoeDOuoIElQkKZlMDvjYDncIqZFBj+bZLrlcjra2NnK5HA6Hg0QiQSKRwOFwsC+1j3rq0XIagUCAQCCgTBUkICtFkC7BVC6XO9DEXQdWrHR1dZVk7stA0Vuy2PsxqUJIdl0C+UQiQTQapaenh1AoRC6Xw+/3Y/UbQWskElF9MdOmTaOqqopwOEx1dbUKLOU5NpuNsWPHMn/+/LKRJJvNhsfpwRf3ESVKZ6ZT2aKXsufSPMRU3iMWi6l+JLvdjs/nY+/evfx242/pzHZSY6lhft38AkMGp9Op+t48Hg9Op7PgvDoU+TcTqeHUWyryQbvdzjjGESeOFy+hUAgojnpM7iPSlyfHXO6ZYo0us7TsdjvV1dXqOjYbPoBhuJFOp/F6vcOPJN1000386Ec/4hvf+EYp1lNBBRUUGclkkltvvRX8kKpOoaFxzrQD2fWZzTMhCJ25TrL5LDbL8MhyjQa0drWyM7wTh9XBnpf2AAPrRxK0tLQY22ltLcn6Ris2b95Me3s7TqeTk046qSjbNJMkcVQyo7u7WzV2jwaYXe16mw2IDbVk5yXoSWkpMmSw5CzkUjl8Y3x4vV6170QWV4ogUWyVM5kM9fUHZKk2bHR1dansdTlgHiLbu5Ila5IeGalUdnV1qR4kmU3pcDjw1Hj45tPf5LTq01g0ZhF+n59AIKBIakNDA1VVxsBWqSIJSfna177Wr2lEqSHvLzLAKqqIEiWYMQxPJEguFXkw9yNJb2EikSggmaFQiPV71rO8bTkAn6r7FGOqxxT0MDmdTiW5q62tVS5tA6lQmiuJwwnm4c5nWM9gQc5QOZjlcEcK84wuqarK9fBqz6u0JluZbZnN5OrJ6Lph9mImP+Y1iNQODAOdUlflBl3z7u7u5hOf+EQp1lJBBRWUAPfeey9tbW3UnlILwMnjTi7obVl0wiLIAlbY1L6pTKscnZAq0vwJ83n+qeeBgfUjCVpaWsADr6Ze5XdrfleSNY5G/O/T/ws2OPXUU4umV+8dwKlqRdD4R+yER0tfkllqJ1UAyf7u3r2bVCqlzBgSiQR2u519iX04cWLtMX4/efJkRSZL4WpnxsFswO37PdrFpW+oIQFif6YNEjSKe5f0IInVdzgcVn1ImqZRV1fHnzf8GR2dUDiEw+5Qgfsdd9yhSJLD4eC9997jjTfeAGDSpEksW7aMc845pyxSL6lkCcGowiBxXbkuJUMrJYHtXekRt8NkMgkWWBdex33r7+OmDTeRJcsc1xzmV8/H4XCotcn573K5qKurMyp6+50cewf//V3/cu4NF6mdwCy3M69NeuOKUUmS7cg5nk6nlbR0VWQVj+ce523tbdUfJVI7gbk3SkwfxNWu1Bj00frEJz7BE088wRe+8IVSrKeCCiooInK5HLfcYkjopiyZQlemi/Oazyt4TtPYJiw9FvL1eVa+vZLZY49s8GYFB1DtqubU8acyr2oez+59FqfTyemnnz7g1zc3N0MN7D51N9979ntcO+/aEq52dCCbz3LT3pvgmzA7X9xzWbLQuq6r2SjBYFA9bh6OOZwkNYOFWWonn1ey5qFQiEgkoty9JOPs8/nYtXsXfowMcC6XY9y4cSrQtFqtJZUaSYY+l8sVuF3ZqmwEg8GyVZLM85F6k6TevUhSCevs7FTuapJx93g8bI1tZXXnagIEWDBpgarMPfbYY2zfvh23281FF13EcccdR1tbG+FwmKamJk455RTC4bAybygHhCT5fD5FkoK5YIHVdClgNm0w9yPFYjFe6HqBP3b9kWAmWPCaue65eDweZWsvFVO3243P56O6ulpZ2gt5kkHJZkJsPt7DtZIk16XdbsdmsxmVMXJq0G4xSJK5iiT/plIpMrkMm7JGYvZY17FKaldVVVVA2MzmMSI7lb68UmNAJOnnP/+5+rm5uZnvfve7vPzyyxx33HF9Dvj1119f3BVWUEEFh40HH3yQLVu2UFtfy3brdsjAudMKB2tqmkZVtopuunl1y6t8fsnny7PYUYgrjruCK467gttvvx2AD37wg4MaejdlyhSsYSs5cuyJ7CGRSeC2V6zaD4U1e9eQtWQhBRcsvKCo2zaTJJ/Pp2byZDIZQqEQyWSyoPoyUiH9A5lMRrl/gZEN7+rqIp1O43a7yeVyihg6nU5ae1oZy1iseasasgmoYPJQ7l9HCjGESKfTOBwOIzjNgWbT1KykcpAk6cOQapyZJEpAnc1myWQyJJNJIpEIoVCooE/H4XDgdDv588t/xouXD9R+gDqnMfxz69atPP+8UaVetGgRJ598MmPGjOH4449X0jqxpy9nP4zZvEEMAkIYc59K2S9mNm0QwhKLxXh85+P8vO3n/b7mj91/pGVsC4tZTDabVXI6h8NBVVWVug9I1UhMTUSeaq7CCmEarpUkIUlWq5WkNckt3EKSJD9J/UTJII806SMVNvPMtVwux/ru9SRI4MLF7KrZqtert9TOTHSj0SiAquSVGgM6WrfeemvB/30+H8899xzPPfdcwe81TauQpAoqGCbQdZ2f/OQnAFz8rxdzV/IuqpxVnDbhtD7PHecaRzfdbNi3YaiXeVTgmWeeAQbXjwTGF+rUsVNpTbaCC7Z2b2XOmDmlWOKowaNvPWr8sAMWfHNgLoIDhcViUdlQsf8NBAIEg0El3xmq4ZilghAfCWrE+lsCPXG9stlsJBIJUqmUQRidDk6uOpn2YDv5TJ5AIKCGyIpcyewQVmxIoCrSNKfTCXHDeTCdS6tK0lBX+SRYNgfpQEFGHQwiE4lECizAzRWJp7Y8RZ48jTQyt24uFouFeDzOgw8+SDqdZs6cOXz84x+npqYGj8fTZ+gvlNc0QHpfAoEAjTQynelMYIIaEloqAivH3NyPFI1F+eXmXx7ydbdvvZ1Tq04lmzacBj0ej7JXl4G/0osn7wMHjquQY0DJy2D4kSSpdjmdTgL2AHHihpwzFyq4nx0pSRLCJfeVTCbDG5E3AGixtuB2Gck/IaICIUeapqn7jc1mo6am5vA/9CAwoKO1bdu2Uq+jggoqKDL+8Y9/sHbtWjweD/POmYfzaSdnH3N2v8YM0+un83b2bd6LvleGlY5ObO3eSoOnAa/dq0jSYPqRBC3NLbR2tcI42NK9pUKS3gd/f/vvADSlmgp07cVAbxtwp9NJkCDUQKY7o4KKcllNHy56u09JkKfrusru6rpOd3e3Gh6by+XU5/X7/fh8PqbXTCeyNUIoGWLKpCn4/X5FjKSSUKog3dz3YrVajWx03HgsT2G/yFARBQkw+3O2k0Axn88rO/VsNovdblfGAhJY9uR7eK3jNQAWNC3Aqhmyub///e/09PRQV1fHF77wBWpra3G73QU26+Z+n3IG6OZK0jH7/wBFn8fTG2apnaZpZLNZXtrzEp2ZzkO+rj3Vzluht5jpmonf71dmAnLuSH+N+XzqbTAgCQfzfKThdl8wOw+6nW58+IgQoT3Rrgj8kVTG5Z4iBjAy3DmdTrMhbSRlZztmqzlafr+/QG1hriIFg0F0Xcfj8QyJ1A4Ow7ihggoqGBm4+eabAfiXf/kXvjj/i3R9o4vbzrut3+fOmzwPYpAIjR53rnLj83/7PLU/reU/H/tPgsEgXq+XU045ZdDbaWlpgW7j5y1dW4q8ytGFbD7L+sh6ABZOXFj07ZuDIZvNdsApzGJYTUsPyUiZlWSW1Jn7jyS7LL0KYibQ2dmprHozmQzxeFxl2DVNIxqNqqBw4sSJqh9JemdKLUE024D7fD7qqIMgWFNW1Uc1lMdGiKZ5kK5A5HWdnZ3Kolya5+PxuJLI2Ww24sk4AQLMdM1kvH88AK+++iobNmxA0zSWLl1KY2MjDodDBZvmNUiAOhTypINB3t/lchWYqaRSqYIqX7HRux8pFouxO7x7QK9ti7dhtVqpqqpSfUhybcjncTqdOBwOQxLpdBZUmy0WCx6Ph0AgQENDA2PGjCn65ysGpArrcDgKpJBCko7kuIhhg7nPMZlM0hntZGd+JwBz/XMNkuZ297H0Nlfm4nEj61Hs5NehMOi0wle+8pV+fy/Dn5qbm7nwwgupra094sVVUEEFh4dXX32Vp59+GpvNpq5Zj92Dx95/9uWSky7hu5/+LhlfBv2Okd10PhyQzCZZ9d4qsvksXRu7AFi4cOFhZRFbWlrgbePnLd0VknQorNm7hoyWgQR87LSPFX37vUmS3+8vmJUks1eGs9zOXDUyr9NMYuRxCQjT6bQaVmq328nn88RiMQDVQP3Sppfo7O5UVZDx48er873UUjuBONzpul5g3qBpGt3d3Sq7P1QVFSEoEjDL/s3n84TDYTo7O4nFYqrvyOFw0NbWps4hIZ8TfBO4fMblpFIpLBYLO3fu5IknniCfz3P11Vczc+ZM5egnhFQgx9I856ockIqFfM5kKkmSJLFkbEhMG4QgxuNxfPrAZpkFtAB1dXVUVVXhdrtV75242kkSAQorg3Ld2Gw2ZYgwnCGJELvdToAAu9lNmLDq/zmSxIJUcM0S0mw2y+bQZmzYqNaqGe8brwh0b8c6STJEIhHVbziU/GLQR27t2rWsWbOGXC7HjBkzANi0aRNWq5WZM2dy++2382//9m+sWrWK2bMrLlkVHEAul2PlypXs3buXpqYmFi5cWNbM1miGVJGuvPJKxk0Y977Pb25uxmazEY1G2bNnD+PHjy/1Ekc1Xtz5IslskiZfE28/ZzCcw5HaQa9KUoUkHRKPv/u48cMOWPTlRSV5DwnCgYJAHCv09PQU9B8MJ5gbygUSuEpm3Lxus2W1DDSVwD0cDpNIJFQVKZaL8cvVv2QOc3BohmSmurq6IDgspWmDwFxJMmek7XY7PT09Q+5wZzZtMPcDdXV1sXfvXjVXy+1243A4iEQiSn7mdruxWCyEw2GD5OQ1fC4fyWSSv/zlL1gsFpYsWcJZZ51FdXW1ImK9A3Ihab3J01BDKi9WqxWPx8NPIz+ljTa+lPxSQaWhmETa7IomvUSxWIxp9mnU2mrpynYd9LV19jpOHnMy9fX1NDY2KumjVMHkPtDb9luIYLn392Bgs9lUFVMqSWHCRCIR4MhIkhi7yDw1IZPjc+P5luVbpN1pNZzb7/cX2Pebq0ihUEi5Iw4l6Rz0Ebzwwgs5++yz2bNnD6tXr2b16tXs2rWLc845hyuuuILdu3ezaNEibrzxxlKst4IRiuXLlzNlyhQWL17Mpz71KRYvXsyUKVNYvnx5uZc26vDuu+/y0EMPAfD1r3+dL/ztCxz/6+N59N1HD/oau93OtGnTANi4ceOQrHM046mtTwGweMpinn9u8PORzGhuboZWsP/Zzq/O/1XR1jgaMSk+CVZA/c56Jk6cWJL3MAdxbrcbJM8TMLLU0ng/XJDNZmlvb6e9vZ1QKEQ8HlcBHxRK7pLJJKlUimQySTKZVDOQurq6iMVi5PN55cCWy+VwuVy43W5ufeFWaqnFmrOSTqUJBAJKeiRWyUNVSRK5k3nYr91nJxwODymBNdt7m6VuyWSSHTt2qAGx0oMRi8WIRCIqo2+xWHjsrcfY1LlJOQw6nU7uu+8+IpEIU6ZM4Z/+6Z+ora1VJKA/kjQcTBsEska73Y4bIxjuTHcWdXCpGWbiJeQ5nU6TTqb5TMNnDvnaa8ddS1NjE7W1teoclm3GYjF1rZitvT0eD16vV52HIwUiI5RBv2DI7Y60kiRz1cQ4QwYHy+wvm2ZjvHu8Imler7ePuYlUvhOJBJqmDZlhg2DQR/GWW27hP/7jP5S1J0BVVRU/+MEP+OlPf4rH4+F73/seq1evLupCKxi5WL58OZdeeim7du0q+P3u3bu59NJLK0SpyLjlllvQdZ2PfexjzJo1ixWtK3ir/S0c1kNPWtfO0OB6uGPtHUO00tGLJ7cZQ2SbtWbC4TDV1dXMnTv3sLY1efJkbHEbmXcy2GPDq+l3uGH76u3wMnxo8odK9h5myZ3P58Pr8kIesECSpKoEDBdIn5R5hou4TYkMRjK2Um0yE4l4PK6qGTabTZENm82G1+vlhd0v8MLuFwgQwN3jJpVK0dDQoEiKNMwPRZAu2Xtzxp86sPgs5PW8kkMNBeR95F+RZXV3dxMMBsnn8zQ0NOD1ekkkEurYCGldt3sd2xLbeL3zdfIWQ+b1+OOPs2PHDmpqali6dClVVVUF/Uf9VS+Gk/W0VJICgUDBrCRzJamYkPNYzsFkMqkIzmmB0zjRdWKf19Tb6/napK+xZNwSamtrqa6uVsG99JHJeu12O06nE4/Hg9vt7mPxPlIglRybzUaTrYmpTGUMY1Ri5HCvGbn3mO8niUSCSDRCJpNRxKw/62844AwZiRjPlxlKQ4lBXzWhUIj29vY+UrqOjg7C4TCAOqkqqCCXy7F06dJ+b36S4bnhhhu48MILK9K7ImD37t38/ve/B+Cb3/wmGzo2sDuyG5fNxaLJh5YfVTdUgx02dlYqSUeCnmQPr+95HYDMJiPLeMYZZxz2+W2z2TjmmGPYtGkTmzdvLlmFZDRg1apVgNH/VSqYSVIgECgIUmOhmLLPHi4DZaX5WhrmzYMdZX0yEFNmvUjmVyy/xXXNTLiqqqrQbTq/ePEXuHEz0z6TfYl9JJNJJk2apORivRvnSwlzJcVms6lZSTanje5gdwEpLPWx6R30y/Xf09NDPp/H5XIRCATo6OgglUqRSCTUvKREJsEru19BQ+P4quOpr65n/fr1auzKl7/8ZcaOHUtVVZWyWAcKzkXBcCJJUklyu90FFYve1c1iQfaL7PtoNKp66bLZLO25dgAu8F/AjLoZ1NpraXY0Y8FCbW0tdXV1pNNpEomE6oeRnjaHw6EswUc65Lg4nU6OdR7L1OxUAEUOzdXgwcAsb5UkQDqd5omeJ3hBf4FF2iI+7vi4OicOZtrQ09ODpml9JLxDgcOS2332s5/loYceYteuXezatYuHHnqIa6+9lo9//OOA0TQ+ffr0Yq+1ghGIlStX9qkgmaHrOjt37mTlypVDuKrRi2XLlpHJZFi0aBGnn346K1pXAHDG5DPedwjp7LFG4mNPck/J1zma8ez2Z8nreWbUzWD1M0ZF/XCldoLm5maYDreuvZW3298uxjJHHR7d+CjPh58HPyxYUNz5SGaYSZI4V2EBgkAWJVMbLtUkCZIdDgderxefz4fL5VLEKJvNkk6nC1zGpOIis58kEBSJkQyKvX3t7SRJMpOZ+Ow+9XpxtpP3KKX1txliTqAsjff3N2hoRDPRAtvmUkJkQrLvRXYIRiUJoKamRlWVQqGQcgVMp9O8vONl0qTx4uXEY04kGAzy5z//mWw2y+WXX84JJ5yA1+tVPVjQfxXJTIaHC0nSNA2v11tAkszW+cWCeb6PVBfj8bgiSR3pDnZndqOhcW7VuSyuX8x0x3T0nGH6UVdXh8ViUdez1WpVvWMul2vUECSBED/zZzJfL4OtJum6XtCPJPeGSCTCxuxGOukkY8koqZ3P5+tjbCTy3kQigcViKYsh3KCP8J133smSJUv45Cc/yeTJk5k8eTKf/OQnWbJkCXfcYch0Zs6cyV133VX0xVYw8rB3794D/3EA/wJc/D7Pq+Cw0N3dra7Bb3zjGwA8vsVoZD+v+bz3ff2p004FIGQLlWiFRwdOGXcKv/rwr7jh1BsU+T9SktTS0gKnwN+if+OFnS8UY5mjDj95+iekP5zGdbKrpKZBZpLkcDhwu92G1TSo4aBDbTV9MEigAij5mWSMRSIk1QepYkj2OBwOK2kSoIhULpfD4/HwdvBtVu1eRR11nFZzGsl4kmg0isfjUXbJsq+Gsh9GiIOYHwiyuWyfJvtSQY69uZlf0zRSqZQK0q1WqyJINptNSe32RfbRGm9FQ+MDkz+ADRt/+MMfSKfTnHLKKVx88cV4PB41c+dQM5Ake19u+2+BrMHv9xdYTSeTyaJfM+YhvuKqlkwacliLxcKb8TcBmGqbSpWjikQiQTQaRdM0qqqqVFVDeqikEiv9O6OJIAmJdjgciqhkyZJMJZUqbLDHRu4ncg1IFToUC7E1vxU4YP0tVVUzhDSHQiHlKti70jQUGPRR9vl8/Pa3vyUYDLJ27VrWrl1LMBjkN7/5jXL6mTt37mHr7ysYXWhqajrwn9nAeOB4wH6I51VwWLj99tuJRqMcd9xxnH/++cQzcZ7fYZgGnDvt3Pd9/ZnHnwlAzpejo7ujlEsd1RgfGM+XTvkSc1JzSCQSNDQ0MGfOkQ2AbWlpgf1GTJVZSX2RzWdZ3WFU7U6uO7mkAYzZgEBsa82Ix+Mlm/kyWEiAI4GeGRIYiauVVH5kAKbMQcrlcsqQIpFIKHeymWNmckHtBZzIiax7bR2rV68mEonQ1dXFP//zP7NixYo+2fyhgDkbbg68dIuuMuOlRu9+JCEwnZ2dqueoo6ODnp4e1ZNhtVqJx+O8uPtFbNiY6pzK9MbpPPjgg7S3txMIBPjKV76iKhlCeg/magcoUwEJ7IcD5Jqp0YwG/BAhZXZSzKGy5nNPCGo8Hldy2J50Dw4czHHMwWKxKCt2r9fLlClT8Pl8ijSIlfdQSkeHGvI5XS4Xv+bX3MRNbE9uV0mSwR4XqRyJYYau60SjUd7qeYsMGfz4meqeqhJN/UntdF0nHA6XrYoERzBM1ufzcfzxx3P88ccXuMhUUIEZCxcuZMKECUZQMcX0gJF4RdM0Jk6cWNIegqMBiUSC224zBsV+85vfRNM0ntv+HKlciklVk5hZP/N9tzF93HS0tAYaPPPGM6Ve8qjHM88Y+3Dx4sVHnEVvbm6u2IAfAmv2riFFChJw/rzzS/5+ZpJktgG3WCzKuWk42IBLkGwe3tkbQmCkMiEZeLPBg/TMZDIZnE6nEXRGUoyNjKVzQyednZ3s2rULm81GMplk586dXHnllTz66KNq+0NVSZJZSfl8Hq/Xi4bxvha7Yaddit6X3jBnz+GAaYPMmjIPi5WqWzqdZld4FxEi2LFz6tRTefXVV1m9ejX5fJ4f/OAH1NTUKFmdw+Eo6DfqL3A3Pz4c+uPMA1gbHA1MZzrHczzReLTf2V1Hgt6uflIpEhnkue5z+f+q/j8WOBeoCrDH42Hs2LE0NDSo5IF5zlLvmUujCWKqYbVase637OzRe9QA18EcF5mFZHZ4zGazRCIRNqQ2ADDDNgO73a5MG3onm4RUyWywoXa1EwxIpHrxxRdzzz33EAgEuPjifrRSJlScyioww2q1ctttt3HJpZdAy/5fbgPiBwKNZcuWjcqbzlDi7rvvpqOjgylTpnDZZZcB0OBt4DMnfIbx/vED+oLUNA1v0kvUEeWlTS9x2eLLSr3sUYfntj/Hxs6NnNd8Hk8//TRw5FI7qFSS3g9PbzP2dSnnI5lhvp4USaoB4oa5kbhClRsitTtUP0rvwLS3sYFI1CRYSZIkk8nQ1tbGxo0bScQTtLW1qcqUSJo0TeP73/8+55xzzpBm3s2Ewe12U0stQYLYNBvd3d1KDlkqmN0CzWRa13VCoRDZbFY5rY0dO1ZVkJLJJJNrJnO29Wx0dLrbu/nrX/+KzWbjqquuYvbs2aTTadxut7IIz2QyahBtfzATheECIXhV7io+lfoUANl0tqhyO3MPjfQjibOdHJNsNotNs+Fz+kilUmiaRiAQYMaMGYrUmiV7IuEcCiv7ckDIqwyU3cMewoSVVf1gjo30NAohlcREOBzm3ey7AMxyzlLugH6/v889QqR2YNxjPR5PcT7oIDEgklRVVaVOiqG236tg5OPiiy+m5cwWNns3QxL4A5CHCRMnsGzZsvcl3hUcGtlslltuuQWAr371qyogOnncydz78XsHta2J1om8s+sd9mQr5g2Hg9+t/R1/WPcHvnraV3nppZeA4pCkSZMmYYvYyJKltat12DinDRc8tuExAKw7rZx88sklf7/eNuA2pw1SgO9As/NwIEkSJB+qkmTunxEXLwkEJcCRuUhY4Ldrf8t413haaCESiajZS+IEJhbJmqbR1tbGa6+9xtlnnz0knxcKqyZKbhcEW8qmrMxLWeUTwtlbaiiSxWg0is1mU3IugEgkogLyJl8T+XyeO/9wJ/l8ntNPP52LLrpIESKxazYbMhyMhPauZA0HiImFx+NRAbhUK2Hwsq7+0Hvfy2wjGd4bToXRs7qSIcbjcerr62lqaipQRolMzDwnaTgRzmJCyKvT6SwYKCs9dAO9nwkxkvNTXheLxdgb2ctejP7zuf65SjraX5Uol8spV7tySe1ggCTp7rvv7vfnCioYCMLhMFvDWyELsx2z2ZDfgM/nY+vWrcPCcWek4y9/+Qvbt2+noaGBa6655oi29blxn+PGW24kd0n5pUIjDbqu8+RWYz7SmOgY0uk0EyZMMKRyRwibzcbUmqlsZjPRTJTOeCcN3oYj3u5oQCaX4dV9rwJwnP+4PrKNUsBMUAOBgDErKQ5YoYceYrHYkPS+HAoyOLW/fiSBOeMu1SIJDKUnyexQ9fJew3UtmUySxwg829vblaQpFospy3CXy4WmabS3tw8podc0TVVazOTBZrMRj8dL3pdkJp0SYGuaRnd3d4E1vBCFYDDIlvYtODUnPrsPp9PJ/fffT3d3NxMmTGDp0qXYbDay2ayqiog9u3yu/mB2ixtO37PmwaU6OkmSJOPJgr6kI0VvkpRKpYhGo8qd8cedPwbgGt81TMpMwmKxEAgE+rgymytxZhOO0Qghrw6Ho4AkidxuoCRJZJNyLNPpNLquGyQ1k2Ae80hak9S56lTPV+8qka7rRCIRZbs+7ElSBRUcCR577DFyq3NMT07noaceYsYvZxD1RwkGgzQ2NpZ7eSMauq5z8803A7B06VJ1s1m7dy0AJ4w9AYs28Jv6zJlG79LGjZVZSYPFxs6N7I3uxWVz0bm2EyhOP5Jg+tTpbA5vhoDRl1QhSQY2dGwgqSchAefOfX+DkmLAXElyOp1GpWb/ZZYL5lRzeDlhbto/2DlolsSI3a6maaTTacLhMIlE4oBlcqqDVyOv4sTJqfWnYklZCAaDBe5h0ncglShN0xg7duyQB5bicGe1WhVBtFqtqseqVLOSzKTTbNqgaRo9PT3KOVAMAhKJBG3BNp7f+Tx58pw58Uy2r95Oa2srLpeLr3/969TX15NIJHA6ncqkwSyjPBgBMmfzhyNJ8ng8rGAFr/AKC/WFfCT1kaIZN0iQLvs+lUqpaui+1D7a8+1YsNBgb0DXdVwuF42NjQUJlv4syYeyt26oYa4k1VhqIH+gkpTP5xVBf7/PL2Yxch8R0tTd3Y0n7eFjfIwqnzEE2eFwEAgE+pyfuq7T0dGBpmkFFddyYNB3rra2Nj796U8zbtw4NazN/LeCCnrj4YcfBuDij16MbtXheuBKWP/2+rKuazRgxYoVrFu3Dp/Px5e+9CX1+x8+/0Pm/WYe//Xifw1qe0KSNrVuKnuQN9IgVaQFkxbw/NOGq2AxpHaClpYW+AtcE72Gk5pOKtp2RzpOGHsC0x6cBn+ChQuGxgDG3JfgdDqNvqT9sUOWwopMudDb+rs/SDAp85CkgpROp9VMmVwuR1bP8uR7T+LCxQneE2iqblL3CmmKl6BSJDIWi4WmpiZOP/30IQ8sJTgWu3MxCuoKd5HNZkt2bMzbNFdxxFJd7KelFyMWi/HsO8+SIYMXL6lgipdffhld1/nCF75Ac3NzgaTO5XIp22/5DAf7HL2NC4YLpGLh9/vxYUjbpGJRLFMN2fdCamKxGNFoFIC3km8BcIztGHx2H7lcDpfLxfjx4wu2YSbS5t6y0QqzqUatzajcmEkSvH81Se4Bcl6KgY0Yv6TTaTU4VpJL/bXwyDwlTdOor68v/ocdBAadXrj66qt57733+O53v0tTU9OwuvgqGH5Ip9P8fcXfAWMQ8TE1x6DpGrpD58X1L7LkrCVlXuHIxk9+8hMAPv/5zytdbyaX4amtTwGweOriQW2vbmwd2nUameoMG1o3cPzM44u74FGMp7YZ+3zBuAX8x2v/ARiVpGKhpaUFdkFwUxC7dfj0GJQb7e3tbHnLMLOYP3/+kL2vNHLb7fY+Dq+JRKLsSYb360eRgEaeJ7Nq0uk03d3dygkun8/zWsdrhAhRTz3zxszD4/GwefNmotEo+XzekE6ZCJYkTb/97W+XJQssNuA2m82orkeBOkh3pFWVrxQkyRxEmqs40o8k5hdut5tUKsVbO99iW3IbOjozambwj0f/QSaT4dxzz2XBggVYrVZV3ZNsvtPpJJ1Ok8/nsdvtivT17k16PzleuXCwgbLFktv1Nm3I5XIkEgmVBFiXWAfAHPscRYICgQANDYWVeQn2ZZ8OpY19uSDytwZbA1PTU6mllnQ6TTqdVk5/hyKKQnLNlWUweu72RPewi11Mc0xT4wbsdnu/JKmzs9Mw1rDZyiq1g8MgSatWrWLlypWVOUgVDAjPPvsskfMj2OpsJBoT2K12avQaurQuXtv6WrmXN6Lx0ksv8fzzz2O327nxxhsP/H7XS0TSEeo99cxrmjeobfpdfix+CzlrjufWPVchSQNENp/lme2G5XdVsIpcLse0adOYPHly0d5Deps2b95ctG2OBrzwgjFc99hjjx1Sm1hJEMpskTrqCBLEilX1JJXLYEMCZ1VJ6QdSQTI7UKVSKcLhMNFoVPUSBDNB3oy8iRMnH2z6IB6Xh1Qqxb333ovFYuG0006jra2Nffv2sW3bNgAmTpzIj370I84///yyBJYitwNjXAntxu8zWkZZm5eaJJl7Yrq7u1WwabfbDae7aIhnNj1DjhzNrmbWPruWcDjM5MmTueqqqxS5lYATUFl5QAWaQiwymYwihpqmKbnlcDJtgIOTJJnJdaRSyN79SLlcTklHo6kom7PG/XO2fTaZTAa73U5TU1Of/SQBvpy/o50gAWoMQL2jnqviVwEH7iXw/pUkOeekh06cHKPRKC/HX+YxHuOEzAncaLlRWX/3d3/q6jKsXKurq8tO8gf97hMnThwWQ/IqGBm4/+H74RjI2rPUe4yy6RTfFLriXbzT+U6ZVzeyIb1In/70pwukAitaVwDwoWkfGlQ/kqAqV0UXFRI7GGzs3Eg0HaXGVcN7r74HFLeKBPsrSVWwaewmbnruJr5zxneKuv2RiNf3vM7SNUvhA7Bg7oIhfW8J4iTgAyAIGpqqwmSz2bJUUoTgHGo+jlQjADW7JxqNEg6H1WNWqxWb1cYYxtDkaWKcf5wxbPLXvyadTnPsscfy2c9+FrvdTnt7O8lkkqamJk499VRVASlHcCmtALqu43a71e81NFXlK3YcY5a+SaAvAZ7MR5KKTzqdZu3etUSI4MFDcmeStrY2bDabGhjr9XpV4J5KpdT2xMDB/D5SPRFSIBUmGH4kCVDSwXp7PWT2y+0ScRWMHwlJkn0ixh3RaFS5B26IbyBLlhqthomuiWQyGXw+H2PHji3Yhlk2Zl7zaIcYN5iJSSaTIRQK4ff7D3nNiARUjpvI63pbf7c4W5TcLhAI9NmvYtoAlF1qB4fRk7Rs2TK++c1vsn379hIsp4LRhHw+z/I1y8EOYxxjOHbMsQAc22T8uzu5u5zLG9HYsGEDjzzyCJqm8bWvfa3gMSFJ500777C2PcE1AYB32iokdqA4dsyxBL8eZMU/reDZp58FituPBIYNuLXKSu6MHL945RdF3fZIxVNbn2KnbSdMZsgHUpuDOI/HU/Bl39PTo+RD5YC52tBfsCnVFDDIkgSSsVhMmRuIrGZ8YDwXNl/IyeNOxul08sgjj7B7925qa2u55pprcLvdjBs3jgsvvJArrriCM888U0kRezvMDRWEJAmBrdvflGTX7GrYb7GPTW+Jl6wjm80Si8WIxWKKuHUlu1jTsYYcOcYzns1vbyaXy/HFL36R+vp6FaSLDbsEm+bBvLJtc/UllUoRi8Xo6ekZtnI7OBCMNzgNiVuOHB3xjgJXtMOFeUaV2bRB13XVjzTLPkvtT7/f38dAykyQZH8fLSRJ+uXA6K9MZA2pIhy6kiSGDdKDZzaDCSVCbNe3A3C89/gDVuNi0W/Crl27VHJpRJKkyy+/nGeffZZp06bh9/upra0t+FtBBYLXX3+drnqjbHrRsRepL+vTm08HIOFN0NnZWbb1jWT89Kc/BeCiiy5SDdQAbdE21u4znO0+NO1Dh7XtGfUzAHgv9t4RrvLoQrWrmmZ3M2+88QZQ/EqS1WplatVUANoT7cQz8aJufyTiqS1GHxjbYcGC8lSSwJCFmJ2xpLenXCTpUAGy2ZZX3Oi6urpIp9OqSdtqtaJj9FslEgk0NOwWO2+99RZvvPEGDoeDz3/+89TV1VFTU0NTU5MKIs1Z+HK5gQmJECc1gQ0bwWCwJHOsZHtCbMC4ZmOxGMlkUsnhdF0nFowxgQmMZSytr7SSzWY5//zzmTdvnqoYiWTQfCzNP5sDd5FLSjZfAlaR3w03yLp8Hh9+/AC0JduKQpLMZFXmI4kpxGzLbD5g/wBzHXNVz8uYMWP6VHvNrnZiaHA0wEySlrOcm7iJN3hDVXYOds3IvQSMxEwqlVLnezQaZV14HXny1Gg1TPZNLhgia0Ymk2Hfvn0AfXrEyoVBXz3Lli0rwTIqGI14+JGHYf/YgQtnXqh+P3fCXOOHenjnnXeGPAM80rFz507++Mc/AvCNb3yj4LEntjwBwIljT6TRd3j26vOmzOP+4P10aV1HttCjEM899xy6rjN79uw+Eo5iYObkmbQmWsENW7u3qurs0YhMLsOqnasAaEw0MmnSpCF9f3Pwb7fbC0hSmrQKzIYaEigD/c6MMgfU0WhUScEkyNE0DR2dv737N6bXTWeSbxJ2m52Ojg4ef/xx8vm8MSC8pQWfz0d9fX2f9xkO1tNCkMxyO5vDpqy4zb0rxcDBhsh2d3eTSCTIZDK0t7fzxhtvqKGm4rxWV1fHRRddpOY7eTwevF5vwTBTIVhCYs2kTCR18t7yvEM5G5YT4nDndDo5juPIkMGSthyx2YnZtttqtZLL5QiFQiSTSeLxOFP1qcxwzcDpdJLJZPB4PDQ1NfXZTm/ThqOhigQHyKvD4cCJce6ECRMKhYCDD/oV+apUb8XqPpvNEgqFeCdjqFJm2mcqcwi3292HnO7bt0/NRho3blwJP+nAMeg72FVXXVWKdVQwCvHnZ/4M54JDc3DmlDPV72fVz2LarmlseWULb7e8XSFJg8TPfvYzstksixcv5tRTTy147PJjL2dCYAKpXOqwt79w9kJYDdlAls7OzmFR8h7OeGrrU3znme/wyTmfpPXpVqD4VSRBS0sLdANu2NK15agmSWv2riGRS0AcFs8pzf5+P4isTM1K2m81HQ4e6Ekaapidz3oTACFIyWSSSCRCJBJRAY5kfrPZLG/ufJNOOkkFUzS5m8jn8jzyyCMkEgnmzZvH+eefj8vlora2to87lVkqVs4MvMPhMHqqbDawAjnjeInUsJjGGr3NBszW0eFwmGQyyZ49e1i7di35fB6v10symSQajZJIJNizZw+vvPIKCxYswOv1quBR+jqEBAkhkmN7sL/DHWYC+yH2Kx4yKPOGw60kCUGUCmYqlaKnp0fJK829ahaLRVVBe29D1iCOgSNhnxYLSgrXa6Cs3Ouk980Ms9ROJHZm6+/NOcMsY45zjupHq66uLthGIpGgo6MDXdepq6sr62wkM44OelzBkGPTpk1stW0F4KypZ+G2H8jmVbmq+HjVx+Eto5JUwcARDAb5zW9+A8A3v/nNPo87rA4WT13Mec2H148EcNz443B0OmAbrN9QmWX1fnhiyxO8vOtl3mx7k6effhoofj+SoKWlBfYX+LZ0bynJe4wUPLv9WeOHHUM3H6k3JHhyOBwFNuA5cqpRf6hhdpgyBzMiAYxEIipwl6Ba5DK6rtMeb+eN6BvYsXNi9Ym47C6eeeYZenp6GDt2LNdee62ab+L3+/sQITNhKGcGXoIsq9WKz+2DIJBCVXWKOSupdz+SVHukRygajdLa2mpk2xutWANW8hyYT2W32/nv//5v8vm8yrSbyaZ8FnFSlEGcdru9QFY4UoJ5WW/vnpR4PH5Ecrve556YkWSzWV5MvMhOfSc6ujK3qK2t7VNtM8/5KVdPXbkgJNztdheQJLN0uLfkzmzYYLfbVU+jyD53hHbQSScWLMxxz1Hnrwy+hwPDY1OpFC6Xi4aGhmFzLh89R7+CIcUjjzwCu6GpvYl/OuGf+jw+e/ZswDAgqGDg+NWvfkU8HufEE0/knHPOKcl7BJwBFm9eDA9C66bWkrzHaMKT24whsifVnsSGDRvQNI0zzjijJO/V3NxsVJIwKklHM57ZZliul6MfSSBf5Ha7vUBfb8EI0CTDOpSQ9zRnYnVdJx6PEwqFCIVCKqvudrtJJpNK/pXL5Vi5ZSU2bExmMpNqJ7F+/Xo2b96M3W7ny1/+Mn6/n0AggNfr7VfO198QznJASKLFYjHMG+qMMp/IIItZ5ZOgXipV8v6xWIxEIkF7e7vR22XX0CZoWMZZyOYNKZIEmd3d3WzatAmfz4fT6VT7zzxTRmSdwyWAPBKIrFBHJ0GCHnqIxWKHHJD7fjCbNuTzeRKJhGFpn47yUOYhfh7/OUE9iK7ruFyufiXR0q92NBk2mCHnWo3FGKdgtmeHvpI7c5+cxWIhnTZmkSWTSWKxGN6cl2u4houcF1HjqVEEySyDDYfDhMNhAKqqqg64hQ4DHF1Hv4Ihw8MPPwxb4bvHfpcrj7+yz+Njp42FafBG5xtDvraRilgsxs9//nPA6EXq/UV515q7WPrYUl7f8/oRv5eYQWzcuPGItzWaEYwHWbvXMMqw7jAy6nPnzlUBWbGh5HZAa9fRS2BzuRxde7ogBe42d4F5yVBCrkHprxAXNQsWZYIwlOYN5n4ks/VzJBIhGAwSjUZVsO31egmFQmrIqaZprHtvHREiuHBxXNNx7N27l1WrVqHrOldddRWTJk2iqqoKj8eDx+PpV05n7ucoZ4BpJknmaoG5J6sYlSTz8FLzfCKLxUIkEiEej6sKSd6Xx4OHTHeGeDiunOsk6x6JRPB4PMqkQZlo7Cedw9GE4XAgPUler5d3eZebuZm/8Bc18BUO3v9yKJj7kfL5vDIkeSv2Fjly1Gv11Gv1aoBsf30vvfvARgMhHQxcLhdOp5MxrjGAUUmKxWL9zkoSmS4cMIkRi/1MJkM0GkXP6UzRpnCG9wzcbrcavi33J3lePB7H5XJRVVU1rIjp8FlJBaMGbW1tvPTSSwB87GMf6/c5b+TfgE9DZ0snPT09Q7e4EYzf/e53BINBpk2bxiWXXNLn8d+/+Xt+/urPeW33kc83mjlzJmjw1qa3jnhboxnPbH8GHZ05DXNY8/waoHT9SGDMqbNvscMv4efzf16y9xnOWL58OVOmTOG1b74GN0Nie4Jp06axfPnyIV+LOYDqnf3s6upS822GChJY2+12RWDS6TTBYJBMJoPT6cTtduPxeOjp6SGZTCrZ3b6efawJrTFkMYE55LN5nnnGqNYtWrSI008/Hb/fj8vlUoF8f+iPpJUD4tQlFYscxroytoySQhaDwJqrSGbTBjHGSCaTB9zoAhasWElFU8oiXnq3otEo48aNU31hMvBWmuHNsruRDvNA2d69LxJ0D/a6MVeRpKIh/UjvZPcbB9iMZIrVaqWhoaFA8gUHkgxSaR1OwfpQQfr4qq3VgGEDHs1FVbXZfM2Yq242m02d82JNL9V0OSbS7+Tz+ZQRiQyv1jQNn89HIBAYVsR0UGdAJpPBZrOxfn2lT6GCg+PRRx9Fn6kz56w5B3Uo6e1wV8Ghkclk+K//+i8Avva1r/UJUELJEC/tMojpuc3nHvH7bQpsgm/Di9UvHvG2RjOe3GpI7c4+5uyS9yOB8QU2rWkadMJ7W48+i/bly5dz6aWXsmvXLuMX+7+vd+/ezaWXXjrkREm+zCUQV9+oVRAKhVSVYKhgDqwlwJPMrs1mo6amBqvVSjgcLujXsFgs7OnZg4bGeMYz3j+eVatWEYlEmDRpEldccYUR0AYCOJ1O1QfTG+bMcrltk6VHQhrFU6SgzqjyiZtfMUhS734kqaKJvXoikaChoQGn24m12uhFyoVySlpmtVrJZrMEAgHOPPNMABVkms+v0Ra0S9A8xmlULKJECcVCh20D3lvmmUqlCAaDpFIp3s0Zg0xn22eTz+cPKrWT95agfjTt74HCbrcbkji7h5nM5AROIJUxeuugkLyaBxaLXX0mk1Ey0y2xLfxN/xvbbdvx+Xw4HA7cbreS2iUSCWXR7nQ6CwYoDxcM6gyw2+1MmjSpLM2oFYwcLH9kOVwIby96m9V7V/f7nJn1++UxdbD+7Qrpfj/cd999vPfeezQ2NvbrMPn0tqfJ5rO01LZwTM0xR/x+s6fMBhtEnVE1SK6CvhCSdLzveLZs2YLVai25W2NLSwsAra1Hl9wul8tx/VeuR79chwmFj8kX9w033DCk309mRzG3243P6wMd5Rsr83GGCv0NkY3HjXlaLpeLfD6vjBskSLdYDNIwrWYaC2sXMnvcbN5880127tyJ3+/n85//vCJIMgT0YDKk3vbX5YaQJKvVigejamDFSjAYLJAmHgl6z+WRzx+Px5U7XTabpamlCZfVRSaYIRk27qkipYtEItx8880q+SXN77KPR5PUTiCVvlpnLbb9F0x7ol0F3odTSZJ9r+u6qpTuSOwgRAg7dpptzQcdIAsHKiOjjZAOBlarVcmHP8knuYiLcGadiiSZDRx6S+2SySSpVIp0Ok0ikeCN5Bu8qr/K6vxqdbzFvVGqTul0GqvVisvlwu/3D7v9PujVfPvb3+Zb3/oWXV2VGSoV9EUkEuHJTU+CC+qcdcxrmtfv8yZXTcaqW8EGr2x8ZYhXObKQz+e5+eabASMI7K9Z+vEtjwMckaudGSdPPdn4ofboC8YHimQ2ydyxcxnjHUN6s9Esf/LJJ/c7RbyYaGlpgXnwq12/YvWe/pMQoxErV65k98zdMBO4DMPW2QRd19m5cycrV64c0nVJIOvxeHA5XRAHghDKGvNZhsoGPJfL9Rkiq+u6Ik52u52uri66uroO9Mjs/5vNZonFYgScATr3dPL2229js9n41Kc+RX19PX6/H6fTqQjSwQKZ4eJsJ5D1mp0HrRarcvc70sGlZpMBcyUJUH0WuVwOq9VKhgxWrGRTBxztwBhE/Itf/EJJqM2DiEWKJ+R0NEE+m9vtpgrDRr4t2aaIyuFUkkT6lcvl6OrqIplM8nbmbQCarc3YsGGz2WhoaCg4JwRmklTuSmi5ILLO3q5/5oGyvSvGsq/MUrtEIsG7WaOCN8d1wNXO6/VisRg9m6lUilQqpd5PDEuGEwadmvjlL39Ja2sr48aNY/LkyX102GvWrCna4ioYeXj88cfJTDUuno/O+igWrf8vSqvFSqO9kT3ZPbyx+40hXOHIw//93//x9ttvEwgE+OIXv9jncV3XWdG6AoBzpx251A6gpc6oVuCB19a/xrHHHr3zeA4Gl83FA5c9gK7rXH311UBppXaC5uZm2AdvO4xK7UnjTir5ew4HPLnlSTh9/38eBQ5SBNi7d+9QLQmgoF/E6/VS560jmAySDWWH1AbcPNDRnNkVCV5PTw+hUEjNQ5LnPLX5KVqqWrDn7MRiMVavXk0ul+Oss87i2GOPxe/34/F41NyhQ80/6t30Xm5Ib5bVajVSwnnQqozZRdJ7ciSzksxVJLFRF8gMpHQ6jc1mI02avJ4nE8pw9tlnU11dTX19PYsWLWLChAOl0d5Su9FYRYIDwbXYTQcJKpI0WJjNMyQAD4eNWWVbc8Yoktn22WiapqR2vc9hc2VResiORphtwMHoScqQUX1DkhgQkiTkXch9NBollUrRFe9ip74TgNmO2QXW35KUyWaz6vwOBALD4p7RG4O+8j7+8Y+XYBkVjBY89PBDMMP4+aPTP3rI506vnc6e9j1sCR3dVsbvh5/85CcAfOELX+gzuBFgU3ATO0I7cFgLh/YeCbwOL+6sm4QtwcubX+YarinKdkcrhqIfSdDS0gJ/NX4+WmzAQ8kQd3XcZfxnNbD54M/tPRyy1DDPSjLb2gJKajUUEDIk1RMwpHa6ritXu1QqpQLuVCrF6h2r2ZbYRkeig9OqTuPNN98kEonQ0tLChz/8Ybxer+oTkKDyUIGMfNbhkoWXioDVasXn8REMB8ECOrpyUjuSSlJ/85FEvhgOG/NlRJo4ThvHu63vQtIwwrDZbNTV1TFmzJiCgNwstTM3vI82yH6pra2larvxvdaV61JOaoM5LmbTBl03jm1PTw+pVIorLVfS7minXjOGovt8PhoaGvpsQ0iSuTJytEKqxi/yIk/wBHOZy9zYXLV/ZTivmcDLzC/5uyG5AR2dMdoYxvvHY7PZVBVJhs1ms1l1b3G5XKODJH3/+98vxToqGAXIZDI8+uKjcBXYNBvnHHPoOT4nTT6JZ9ufpcfaQyQSKZgzcrQjl8uxcuVKnn32WV544QXsdjs33HBDv8/dFd7FpKpJtNS24HUUb75Ak72JrfpW1u+p9Iz1Rl7P09rVSkttC62trezatQuHw8H8+fNL/t5How340hVLaUu1GYN0H+//OZqmMWHChJL3hPX3vvKvWcKjoxOLxRR5KXVmurcbWj6fV/0BEnRKU3Y6nWZHxw7WdK7Bho3Zztm8+867dHV14fP5lFGDNFs7nU5FCA4VQPaW+5UbQpJkCCsh4/dd8S6y2ayqvh0uzCRJ9r8E6fF4XDkH5vN5uru7yaazTBg/gVQqhdfr7TPMVI5ZLpfDZrOpGUnDMXg8UggB9Hg8TGMaduyMY5wKoM09Ru8HM9nN5XLKDCCTyWDVrEzWJqsKaF1dXb/JRjl+o3V/DwZyzUsfX5iwOi6apqlZbGLYAKiqqcxJeiez31HQPlOZvcj9UZwdAVVNHC7V59447DvZ6tWrlSvZnDlzOPHEE4u2qApGJp5//nkiYw3d6plTzsTvPDTpufLEK7nr5rsIvRNi48aNnHLKKUOxzGGP5cuXs3Tp0gMOXhg3rZdeeomLL764z/OXHLOE7Uu3E06Fi7qOaTXT2Nq1lW2hbUXd7mjA+vb1nHDHCcysn8kNthsA+MAHPtDHUrYUmDhxIraojSxZNraN/jlWD73zEPe+ea/hZPcQkD5gtyyQL+ply5YNeRbY7ECm5Od1oAU1IpGICvhKSZJyuVyB/EXm9aTTaTUTKJPJUF1dTTqdprunm2c2PoOGRhNNxHviBINBkskkX/jCFww3NqcTj8eD0+lUpgTvNzdmIERqKCHSITHWwArEIJvMqqDvcB3uzLORhAhJsC4ESZrS05k04XCYbDbLtGnTVGBYX1/fZ5tmo4/RKrWDAz1JHo+H4/b/AWMe4GCvFXMPUzabJRwOq/lfUvEAcLvdNDQ09NmnZvmYOfA/WiGOkNVaNegGSZL96XK51L4278dkMqks71OplOpHmu2YjdvtVj1H5llYQpS9Xu+w3eeDpm3t7e2cddZZnHLKKVx//fVcf/31nHTSSSxZsoSOjo5SrLGCEYKHH34Y9hurfXTGoaV2ACc2nchJtpOgAzZs2FDaxY0Q9LE43o94PH5Ii2NN06hy9c2OHQmWtCyBt6Hr3a4hnfUyEvDU1qcAmFI9Rc2SGQqpHRhfYJO8kwDYHt4+6o/NTx/9qfHDC/DVy7/KAw88wPjx4wueM2HCBB544IF+kwilhgTJIhlRsGBUD4pkNX0omHuBbDYbuq4rgiTN0eKkBvDi5hcJE8aJk7GMZcf2HcRiMT760Y8yffp01V8lFRjp1ThUptdsnzxcSBKghue6XC5j2G8SrLpVGTccKUmSfSKVCLFAlmHC0XSU13peI+01MuzTpk1TQzN7B+tS3YID82pGo9QOUAYgvY2I5LjAwB3uRG4nJiQ9PT3EE3HuyN3BVykOjwAApEtJREFU/1n+jzhxNbx2zJgxfc5jkdqNpllURwIhNDXWGgBC9DWhMfc15nI5ksmkMmOI5CJYdAs2bMxwzcDlcilylU6nVTJBpKRmifBww6BXdd111xGJRHj77beVU8769esJh8Ncf/31pVhjBSMAuq4bJOk+uGn6TXxi9icG9LrZs2cDFZIExo1m6dKl/X4xHMziOJKKkMuXpjH8K0u+gu0hG6k1KXbv3l2S9xipeHKbYf29ZOqSIe1HEsxqmgU6xHNxOuOdQ/a+Q43f/e53vPyNl+EBuP6E6/npT3/KJZdcwvbt23nmmWf405/+xDPPPMO2bdvKQpAEkhF1u91otv0Z0SpURrvU5g0SeIjltVm2lUql1CBZm83GuzveZU37GqxYmcUsWltbSafTzJo1izPOOAO3231AbuPxFJgbHIr8mCtmwyngkaDXTEjM+6cYJMlsHJDL5dSMLIvFQiKaQEMjR476+nrsdjtOp5Pq6uo+25Tqlqx7tFaR4EByQaqvCRLsYx+hUGhQNuCy74XkpFIpIpEIO1I72M1u1ubWYsvZlNyrv/1ekdoVQvqyxriMGVYZMoTTYTVOACggk5lMpqB66sw5udF6I9/yfIsaX40658XExGq1qv4vUV8M1/0+6FWtWLGC22+/nVmzZqnfzZ49m1/96lc89thjRV1cMTHas63lxpo1a9i1axdel5d/u+jfaPIPrHna1eKCk+H11tdLvMLhj5UrV/apIJnRn8XxD579AQ23NHDH63cUfT12u51p06YBsHHj6Jd1DRSZXIbntj8HwJT8FDo6OnC73Zx22mlDtoaZzTNhv7pyR2jHkL3vUOK///u/+Zd/+RcAbjj7Bpb95zIlybBarZx55plcccUVnHnmmWWvXEjA53K5qPZXG9LA/d+uIncrJaRaJf1IQo4ks26z2bDb7YTDYdZuW4sdO/XUs2P7DrLZLH6/nwsuuEDJXnw+n2qyHkgVCVDPkzUMF0iW2iyF1TRN9UUM1iQACntgZH/ruq4y6olEQlVEduZ2oqGRjqSZOnWqCgx79+AKcZPjOFoNGwQiJbRarTi8Dm7mZu7gDroT3YOqJMl+lypmOm1IG99KvQVAi6UFm2bD6XTS2NjY77BSc49NBajKq9fhxY1hRtOV7VL7CfpK7SKRiBrSLPeCalu1kuvK881SaZnH9H4y3nJi0CQpn8/3eyLZ7faSSwqOBLvDlUx4KfHII48AcN555/U7x+dgeFp/Gi6AdeF1pVraiMFArYvNz1uxZQXdyW5q3bUlWdOMmTOgCt56562SbH8k4pXdrxDLxKj31LN7jXFfWbBgwZAGNM3NzXA3nPf6eZw87uQhe9+hwi2/vYVrH7oW3aFz/fXX87Of/WzYfolCoQ240+k0SBIQTAXVTKJSoXc/BRzobZEqlsViIZ1Os2/fPqYHpnOc5zjsQbuqXFxwwQU0Njai6zo+n0+5W5krJO9HRM32ycMJ/c0Z0iwaoVBISbQOZyYPHHBok+3kcjni8TiRSMQIFvM5okQBSPYkaWlpUQSp9/mczWaVa5iQ2uGaXS8WJHj2OX0qGN8b2zvoSpK4AeZyOYLBIOFwmHfzRk/MTOtMJR9taGjo1/q7t5310Q4ZwCz27ADBbJCenh4lnTOfm9KPlEql0NFJZVLq/HW5XCpxIj2CmUxGbf9Qc9eGAwa9srPOOoulS5eyZ88e9bvdu3dz4403smTJkqIurph4p/Odci9hVOOhhx+CayG6IEooGRrw606YcAIAnXSqic5HKwZqXSzP2xnayYaODVg0C2cfc3ZJ1rTqhFVwI6zasqok2x+JkH6kJVOX8OwzzwJDK7WD/Q53PbBt8+gz1bjn3nv4+ktfh5Oh5cYWli1bNqwJElAQAHg8HmWJlI/mSSQSSs5TCphd7SRZKQG3yGN0Xae9vZ1YLGZkg+PQ1Wn0Gi5atIgpU6aotYvMDvqSgUNhuNl/C1S1QgLgOtACGj09PSQSicOyATebNsj/hVDGYjHlaheJR7BhIx/M43P6VB9STU1Nn22apXYijRzt6G+g7L7kPjVMdyDHRaqociy6u7vpSnaxC0OVMd0yHavVSiAQ6JecJpNJwDhPjoZ9PhBYLBY12HU60zmBE/DgIRqNqh4iQTabJZFIKGOHDYkN/CDxAx7KPlQwgNput6v9K9VScXYcVSTpl7/8JeFwmClTpjBt2jSmTZvG1KlTCYfD/OIXvyjFGouCjZ0VuVCpsGXLFtb3rIeJ8HLy5UHZUM+dMNf4oQ7efffd0ixwhGDhwoUFQwV7Q9M0Jk6cqCyOH99ieCGfOv7UklWSxnrGAvBOeyXJIJB+pMWTF/Pss88CZSJJwNatW4dsDs9Q4H/+53+45jfXwGSw5+2s+NqKYU+QoHBWkllGpaOrWUmlIknmIbJQ2G+TzWaxWCyEw2Fe3voysYQxZHPz5s3kcjlmzZrFjBkz8Pv9Kmgx98IMVGpnfu5wJElSmXF73KADdo6oJ0mOpdm0IZfLqWGaIrVrz7ajoZFNZZk1a5bqizFbxYNxzGTwr8yNORqqGlJFCAQCiiS1p9qNisQAyau5nyiVStHd3c2GtNHjPFYbS7WlGpfLRU1NTR8XNZGlAn1mnB3NECmkz+djCUu4iIsYz/iCniRBOp0mEokQjUbJ5XJsTG8kRYocOZxOp+pHkv6zVCqlKkziJDic7/GDps0TJ05kzZo1PPnkk6pPYdasWZx9dmky2cVChSSVDo888ghMN37+cMuHsVkGflrNrJ9p/FBvmDfMmzevBCscGbBarSxbtoxLL720z2P9WRwLSTpv2nklW9PMhpls2LmBnfGdJXuPkYZvLfgWj295nPHJ8fT09BAIBIb8vJ0wYQL2cXYyJ2e49oFrufeT9w7p+5cCf/rTn/jM1z4D/2z8/1cf+xXH1B5T3kUNEHJ9SjWmjjqCwSBWrMrlrJSVpHw+j9PpVNUMs7NdOp3mhbdfYF16HVVU4djiIJ/P09jYyJw5c6iurlY2vOJqZba07m3EYHYSEyIma4DhR5KkwmexWHA6nMasJDt00aXsiCWzPRD03i9mVzVx+BIjjR56sGAh2ZNkwqkTlKtdb9KZzWbVaySwPBogsi6/369IUoiQkqiKI+PBgmhz/4vVaiUajRIOhw/M6LHMVPbvY8aM6bNfpS/NZrMVzKuq4MCsJDPkXmY+f2VwskgehaBOt05Xxi8yB0kkkWYn0OFcRYLDqCT9/ve/J51Oc84553Dddddx3XXXcfbZZ5NOp/n9739fijUWBRW5Xenw8MMPK5J0wfQLBvVaRZJqYf2GytDSxsbGfn/f2+I4m8/yjy3/AODc5nNLtp55U4zgP+qIEolESvY+Iwnnt5zPsvOWsfEVI/GyaNGiIZdpWCwWJkydAPPg0a2PDul7lwL33Xcf/3TVP6F/XAcbXNByAf8875/LvaxBQYLm3hUAmZVUir4kaVrXdV29rwTs8XicTZs2cdfdd7EuvA47dtiFqjqdfPLJ1NTU4Pf7CxztJGgRGZOQrkQiQSwWIxqNqr8iLZNAtXevwnCByNfcbreKevSYrkjSYIw1zIYNcIA05XI5tV90XUdHp4469KCOJW2hsbERm81GbW3fqr9UkYA+cqbRDqkwSO+L2E2/n3mDruuqimqz2VQ/UiwWo2b/nxlWw346EAgQCAQKyJaQe2BI5tuNNJjlcFmyRDCMGRKJhHqOrhsDsyORCMlkkmAqyO6c0ac72zlbDa82u9vJvUq+M4fj/cKMQa/ummuuIRTq23MSiUS45pprirKoUuDdzncrDnclQEdHB6vWr4JGsGgWzmseXFVjQmCC8eVthde3VBzuRLJ6zTXXHNLi+NXdrxJKhahx1XDKuNIN4ZWesYocsi/KYf1txsxGI8HQnekmnukrgxgp+Mtf/sKVV16JfoYOY6HeU89dH7trWEsw+oN5YKX5i7+7u7sg6CsmROYl5gQSrGcyGV555RXuv/9+cu4cdpcdZ9CJPWknnU4TCoXo6OigtrZWZXWtVquqaAgZkrknYiMuf0XiKXOUfD4fNTU1fWRkwwVSSVIDZTEGysZisUGTpN7zkcxEUqR2AFaLFYKQacswceJE7Ha7IqS9Ia5gElAO98CxWBC5ncfjUZWkMIbVtMRrB4vbpJIJxnmYyWTo6uoik8mwmMX8m+3fmKJNMcwHAoGCBICu64rcixSzgkLYbDa8Xi/b2MZN3MTvMQokZoe7TCZDKBRSFbl3M0aMMF4bT42zRs2mcrlc2Gw2NVzZ5XIpmd1wP9cHnf48WOlz165dVFUVd5hlMRFNR9nRvYMptVPKvZRRhb/97W/ozcZNbP7E+YPujbFoxmDMLbEtbGg/umcl7d69mwcffBCApUuXcsIJJxz0ueP84/juou8C+7+MS4SWWqP3hVp45513OPnk0eekNhgse3kZxzcez2lNp/H8888D5SNJc46Zw2OJx8ANW7u3cuyYY8uyjiPBAw88wKc+9Snytjye0z3EiXPnBXfS6Ou/ojqcIU3oHo+nIBCORCKqEb3YMFt/iwwmk8mQTCaNe7Ouo9VouHHj0B1KEpbP51mxYgVLlixRrzU75EngL3IogfxfjBzMPw9nSOa6d4VGAuWBkiSz258Ed0JKJcsumXZd14lGo2QyGY455hjDHr66uo+sL5vNqv4oqegdLTAPlG2kkVM4hUYaFXk9GMwVVLGUjsVidHZ2qh4jCcBdLhcNDQ1KRgoosi9SvOF+/pYDYrRQba2GnEFeU6kU8XhcGY+kUilisRiJRAKLxcLbqbcBw3bd4/EoK3GXy6XuKeZK6XAnSDAIknTiiScq5rdkyZICeUkul2Pbtm2cd17peiOOGL+EBf+zgJ/f9vOyDh0cbSiQ2rUMTmon+PGZP+aySy5jX/s+ksnkoCzERxPuuOMOcrkcixYtOiRBAphSPYUfLv5hydc0tWYqmq6hO3Ref/d1Ps2nS/6ewxXtsXZufPxGAP52xt+IxWLU1dVx3HHHlWU9zc3NsBoYD1u6tow4kvTggw/yyU9+klwux9WfvpqffP0nPLjxQS6eNTLvz0IalKyrGrAagxhLRZLMTevmXqE33niDWCyGw+XAUmPBh490LK2MHNLpNO3t7WzatIn58+erTLpIbKSqISTIHLDK70ZCgCMQMwS3240fP5FYBAsWlQE39xkdCmapnQTnYtggckRd14mn4oSSITI5IxifOnUqNput30SyVOrEUexoq2rI557gmMCYtDG8VEwAoP9KUu/BxUKS4vE42zLbaKIJp8VpHG+/XxmTwAF7/Fwud9RJGwcDIZj1znqIQ4oU4WRYVUoBdc4nk0nSmTQb04YEfYZ1hpLvulwudZ3INuWYjYR7yIBJ0sc//nEA3njjDc4999yCsrrD4WDKlClccsklRV9g0RCFPbE9XHrppQW9HRUcPmKxGE888QScCWOOGzPofiTBpSddSnW4mp5kD5s2beL4448v7kJHAFKpFHfeeScA1113XZlXcwAOq4P5zvm88PQLbKnbUu7llBVPbzPkdXPHzuWNF94A4Mwzzyzbjb6lpQWexCBJ3SPr2Dz00EOKIH3mM5/hrrvuwmq18qVTvlTupR02zLOSzImecNyQD5kDu2LBvE0J2lOpFG1tbYaspcGF1+5F69HIpww7crvdTnd3N9Go0WdYX1+vXmu2EO/dOD9Sqkb9wWazqQDNgQOSYMEgi7IPB3JseleRJPhLpVLKtCGfz5NJZtjLXtJVaZqcTTidTrxeL15vX+fXeDxONptVzoJHE6QyKZI3kXLJPoG+JKl3FQmMalwwGKQt1sZd3IUTJ/+u/zs1jhoCgQBut1slEqSKJP2DI/F8HgpIFajKVYUz7iRFis5Mp2q3yeVydHd3q5lgulVngXMBm9ObOcZxDA6HA5/Ph8fjUT2Zkqjo3dc3nDFgkvT9738fgClTpnD55ZePyGy/XFQ33HADF1544bBz4RlpeOKJJ0gmk0x9dyqtf2897BNe0zRmz57Niy++yIYNG45KkvTnP/+Zjo4OJkyYoBISB8Nru19jV3gXS45ZQsAZKPnavnPidzj/W+ezfc72kr/XcMaTWw3r7yVTl/D0X8rbjwT7SVKX8fPm4OayrWOweOSRR7jsssvIZrOc9bmz+NCXPjQq7sVy/3O5XEYj+P6PlE/klVtXMUmSOHuJEYM40qVSKQKBgBGAOq24ci7yOaNnxul0EovFCAaDRCIRJk2ahNPpVHIvTdOUU530OQk5GsmQGVIys0XQ1dWlqny9Xbv6Q3/9SCJvlDkxuq6zk51oaOQjeSZNm4TD4aC6urqPwUs+n1cDf10u11HpsCbVIL/fT2eskxAhXAnXQUlS75EHkhgIBoOsixtD6euow6k58fl8VFdXK6tpcWPM5/PqfKigf8hxsVqtBAjQQQfdOSO5AkYVOxqNEo/HjTlIup2z7WezML8Qt8ONx+PB6/VisVjUfUoqunKtjQSSNOg731VXXTUiCRKLgLONC2rnzp2sXLmy3Csa8Xj44YcBo8p4JCd8LB3DcooFzjJswI826LquDBu++MUvvq9T2u2v387Ff7mYm56/aSiWx8yZhkHA5s2bR9VMnsFA13VFkhZNWMQLL7wAlJckjR8/HlvUOFd2de4q2zoGg0cffZRPfOITZLNZLv6ni9kwfQP/9PA/ce8bI9/CXIIKu93ep2Igrk7FlNz1ltqBkd1NJpM0NTVRVVWF1qVha7eRjWZVNjcYDBKPx6mrq2PRokWqGVtInGzT7XaPGhMBsQHv3ZcUiUTUfny/Y2Oe2yPfdVJFkl6vTCZDKpciShQdnUQoQXNzMw6Ho1+pXTqdJpVKqV620bCvBwuzDfif+BN3cAfrYuuUrMtMkoTMAqrKKVK7np4e3skaLsbTtem43W6cTqfqAxOSJFUkqS5W0D9kVpfX6y0w1RCX23g8XjA42dzb5/P5cLvdeL1eVZkWgw7BSNn3A1plbW0tnZ2dANTU1FBbW3vQv8MW8wFTz/nevXvLtpTRgGw2y6N/exQmwEcv/OgRbUvTNFbVrIJFsPbdtUVa4cjBK6+8wuuvv47T6eRf/uVfDvlcXdd5vNWYj3TutNJZf5sxceJEnPVO0lVptm/fPiTvOdywonUFO0I7sFvs2PfaSaVSNDU1MWPGjLKtyWKx0JJsgR/Bl8d+uWzrGCj+9re/cckll5DJZLj8k5ejXaCxL7qPWfWzuGzOZeVeXlFgbhb3YhAlC5aS2ICL/bF5GGMmkyEWi5HNZvnABz5g9EblwIYNTdNIJpN0d3eTy+WUOsTsVCeB0WghR2bIrBZztUYqb3BgGO7BYK4i9SZJiUSCcDhs/D+Wwo6dXDBHjbeGqqoq/H5/v1I7OVYyX+toRH+zkjoznQXW8uYkABQSpHw+TzgcJhQJ0UorADOtM9UAWZfLhcPhUJVXqZJWqkiHhlSQHQ6HsmcPE1Z9d1KFzWazJHNJXo29SiwfU5I6n8+nZLxSRXI6nX2qscMdA5Lb3XrrrWqK+K233joiSmR9kAc8QAAIQ1NTU5kXNLKxatUquh3d8M/w2bWfZcuiLVi0wzvpPXYPYxxjaE+389bet4q80uEPqSJdccUVNDQ0HPK5b7W/xd7oXjx2DwsmLRiK5fHktidJ/WsK2mHjxo2GYcBRhH3RfVz9yNUAfPHkL/LScy8BsHjx4rLfC2ccM4N31r1Da2trWdfxfvi///s/RZAuu+wyPvyND3PVI1dhs9j4w0V/wG0fHdPupXfH7XbjwkWMGHCgEb1UlSQJ3JPJpKpo1I+pp6amRrnWaZpGV1cXNTU1/OAHP+Ciiy4q6KOSQBJGTgAzGIjUzu12gxdwQZCgkg+937Hprx/JvL/FtrqDDixYSCVSzGmeY8iVAoE+QXk+nycSiaDrOh6PZ8hnrQ0XyDXjcDgKBspKhQIKBxhLIkIqF+l0mq6uLjbGNpIihRs3Ey0TcbvdVFVVKSMMqWhID9RokPiWGna7HbfbzWQmkydPI40kk0nVzxgKhdB1nXeS73BP7B7qtDq+E/gOHo9HGTQkk8mCIdVAQWJnuGNAV+VVV12lfr766qtLtZbSohuDJI2BiVUTWbhwYblXNKJhdrWb2zT3sAmSYGbDTNp3t7MzsZN0On3UZHn27dvH/fffDwzMsGFF6woAFk9ZjNM2NPr15tr9pKgGNryzgQsuODyDjpGKdC7N1OqpjPWN5eZzbubsH50NlFdqJxDCunnz8OlJyuVyrFy5kr1799LU1EQsFuPiiy8mnU5z6aWX8pNf/4QTf3MiAN9b9D1OGndSmVdcPEgAV1A18EBnZ2dRHe6kr0L6iMQtKh6Pk0gkyGazPLnzSQKOAJachQkTJqBpGpdccgnz589n3LhxyqHOPI/G7Bg22mB2uEMM5KIoWddA5HZQ2I+USqWUs10ikSCv5+mmGxs2MpEMkydPVsF6b2QyhuuhxWIZtvOlhgISLAcCgQKSJM6Dco6aq0hwgDjF43F6enpYnzSG0TfTjNNhGGXU1NSo14ucVCSxFRwach9wOp2csP8PoEip2c3xnbQhc5ymTVOGDV6vV/VJOhwO3G73iKsiwWHMSVqzZg12u13Z3j7yyCPcfffdzJ49mx/84AfDN7jtAMYDDbDsq8sqWYQjgK7rBkk6x/j/4Vp/m3HC+BN4fvfz5GvytLa2Mnv27CPe5kjAnXfeSSaTYf78+cybN+99n//4FkNqN9ihvUeCydWTsegW8vY8a1rXDNn7DhdMqprEymtW0hHvIJvM8sorrwDDgyS1tLTAGfBH6x+57L3L+OCkD5Z1PcuXL2fp0qXs2tW3R+riiy/mf/74P3zkvo8QSoU4dfyp/PvCfy/DKksHsw24x+sh+F4QgLg7TiqVKhpJkiqSEB1N09TMknQ6zZ6ePWhoaF4NJ05qamoYP348J554Io2NjSpIlMDTTJZGSkP1YGGz2Q4MDt3/9a+ndFUBOpT7oNl0Qx4XqVE2m1XmC9FUFAsWcj05nDgZM2aMcvjqDZHaKaOPoxRyDpt7X0KECIfDBTI7M4GX4yHVuFgsxru6Mch0pmVmwQBZQTabVddnJf4bGNQ4AxOy2SxdXV0F1vUyH6mZZtWLZLFYVL+dmGRIVXskkaRBr/Tzn/88mzZtAmDr1q1cfvnleDwe7r//fr7+9a8XfYFFg9FSxZJPLqnYfx8h3nzzTXZ07oAJxv8/3PLhI97mzHrDHID6o8e8IZ1Oc8cddwADqyJF01FW7jAMR4aqHwnAZrEx1jkWgPV71w/Z+5Yb8Uxc/Wy32hnnH8cLL7xANptlypQpTJ06tYyrM9DS0gLjIVgV5K328kpVly9fzqWXXtovQQK4/PLLeXnPyzy17SncNjd/uOgP2CyjS2JkniIf8Bc6T0owfqghmQOFVJLM75dOp4nHDTK2p2sPTpzkY3nq6+pxOBw0NTWpHg2BkDZpvIaRFcAMBtJnZQ6cNbQCg4CDHZv+pHbpdJpkMkkqlaKrq4t8Po/H5qEmWEMmmDGMVfbPRuqvchEOhwGOWsMGgZBym81GtVYNHKgk9Xa4M7s4CkEV6deFXMhiFjPDNgOv16vcBOX5gJKWjsYkQCkghiJWq5UMGbrpVnb3cv52ZDpoz7VjwcJ0+3Sqq6vV8GZzv91IrVQPeqWbNm1i7ty5ANx///2cccYZ/OlPf+Kee+7hwQcfLPb6ioYxVmNIWcwbK/NKRj4eeeQRaDF+PnncyTT5j7y/62gkSQ888AD79u2jqalpQDPGXtr5Epl8hmNqjjkggRsiNNcY77c9vH1I37dciKQinHjniXzjH98gnUur3z/9tGH9vXjx4nItrQDDxQY8l8uxdOnSgwaZmqbx1a9+lQUTF/CPT/+DOy+4k+l104d4laWHZKpFgy8VgmAwSDKZLJrDnQzDFMc26Y8R+deu9C6cONFyRjDocDgYO3ZsH9lX7+M10obEDgZCkBwOB3XUqd/HYjFle36wY9Ofq102mzXc7PYHjfKcaDRKLp5j6tSpuFwufD5fn8qFmD1omkZNTU0pPu6IgqZpxuBSez0AceKE4+ECMw25tqBwPlU4bJgJjGMcZ3AG1Y5qJXHs7f5YqSINDmJCo9t1fsSPuI3biKQME5poNIrValVSu4naRGOm0v77nsy8kn7HkSi1g8MgSeab/JNPPsmHP2xUESZOnKgc8IYjQluMAVjbe7YXJZN3NMPcj1QMqR3AjLr9LmE18NaGo8O8wWz7PRCN9DnTzqH1ulbuvvDuIc+EHT/BmF0Vc8WG9XVeLFz32HVsCm7if9f/L7H0gcSKkKThILUDGDduHLaIUY1Zv7t8Vb6VK1cetIIEhaMXzj7mbD59wqeHcHVDC3GE8nq9BVIV0e8fKUkSA4hcLqccqCRoicVidMQN4wAy4LK68Pv91NXVUV1dXRCgmCVkIzWAGQzEBrxAPuRGWXgf7NiYfy+yRCFI6XS6wEZchqBqmsbUqVPVrJjeECmZw+E4KmcjmSHE3Gq1UuOq4TRO42zOpifco+RZgDK2kIpENptV5gGJREI9z+k05KVSRRKHNTn+lSrSwCHSYb/TbwxhBrqz3YTDYZUYkF6wFkuLktq53W4lxfN6vWo2Eoy8e8ygV3vyySdz00038Yc//IHnnnuOj3zkIwBs27aNxsbGoi+wWEjtTrHy0pXs/sruykVyBNi+fTtvvPUGTDP+f8H04pCkcf5x/H8z/j/4GWzcsLEo2xzOeP3113n55ZdxOBx87nOfG/DrptVOY9HkRSVcWf+Y3bi/R6zWcLgbzfjjuj9y75v3YtEs/OmSP1HjriGXy/G3v/2N1atXA7Bo0dAfg/5gsVgY7x4PQGuwfA537ztS4QSg+ugYvSAkye12EyQIdRgzcxKJopAkkdpJYClSO5lZ0t3RjR07+XCeuro6nE4njY2NfcwBzOsYiTKYw4HT6TQMHGxWiAMJg7AcygbcLNUSWaKu64okhcNhw4Y6FmZHbgc5e44xY8YYQX9NTb992iJVEtfgox1ClPx+P+dzPgtYQD55wI3OPNBYqkjZbJZYLEYoFuIRHmE968FiDHOuqqpSrxOSVKkiDR5yL7Pb7apfLJgJEgqFjN4wPc/GlBEPzLDOwOPxFFh/S1KivxljIwWDviMuW7aMNWvW8K//+q98+9vfVu5KDzzwAPPnzy/6AosGHRJ7Ekfswna045FHHoE8nLj+RH545g85senEomxX0zSu+MAVEIVN724a9UNLpYp02WWXDevkgmD+xPlM2TMF3hzdJGlr91a++PcvAobz2oJJC1i+fDlTpkzhox/9qLrRf/CDH2T58uXlXKpCS72hfd0d3122KvkhRyqMAy4Evghazcj6gjwcmG3ARdYlvS+HknQNFOl0WlWRJOhLp9NEo1EymQzbUttw4MCqG4/5fD6ampr6taA2Y7QaNpghvRIetwf2Fx/i8biqWPRHksyGFhKgyxDYWCxGPB4nn8+zj31krVkyuuFq15/UTgafCinrz/XuaITY2JurbrJ/xXBDYD4GsViMN7vfZC1rWcEK3E43fr9fWaqbjTbMRKuCgUFMF7xer5qVJPbsFouFfC7P1/1f5xOOTzDJNgm/36+qSCI7ttls/c4YGykY9Blz/PHH89ZbbxEKhdQwOoBbbrmFe+8d3lPTR3NwN1R4+OGHQYfPnPUZvnvGd4tKOidNmqS0rFu3bi3adocb2tvbue+++4CBGTYA3L32bj5+38d59N1HS7m0g+KEsSdwoftC2DB6r6NMLsMVD15BJB1hwaQFfHvRtw9qRrB7924uvfTSYUGUjpt4HOiQIkVHvKMsa1i4cKGymS6AHbgYsIB7t5tPnPOJcixvSCFN6L1JSXd3t6oCHQmEJImldT6fJxqNqmA/QAAtqOHQDCveqqqqPoPeJbPbW0o22iFZ8d5ucjIr6VCVJJE1yvOy2SzxeJx0Ok06kyZOHPKQj+Vpbm7G7/cXzIbJ5/Ok02k6Ooxr1OfzHfVSO4FUkqqqqkiSZB/72JfZRzqd7pP4yefzai5VOBzmjdgbgOGsZq4iiUmDJBSO1jlURwIhmS6Xq4AkidzXbrdTY6lhnjYPt8uNy+XC7XaTy+UU6R3pct6irdjlcg177/knW5/kkw98kh8+98NyL2VEIhgMsnKl4a524YUXFn37b7W/hf8iP5w2us0bfvOb35BOpzn11FM59dRTB/Sa5RuX88i7j/B2x9slXt3BMXOmYa4xWknS9575Hq/ufpVqVzV/vPiPaLp2UDMC+d0NN9zQb2A1lJjVMgvC4Eg7aIu2lWUNVquV2267re++WgLUAxH49Ud+fVTIXczzRdQ3bAA6OjrUrKTDrfhJcJ7P51V/hZAkmdWTa8+hpTXq6urweDxMnDixj42vmaiZHfJGO5xO54FZSSZIT0tvAmt25DI7AIrtt/QgpVNpNDT0bp2AN4DH48Hv9ysnQelhkuNks9kYM2bMEHzikQOLxYLH4+FlXuYO7uAFXlASVTPEsCEWixGNRtmkG27LLbQo62/Z73JOV6R2hwepvjkcDkWSwoTV4GkhS3K/8/v9SooqzngjPREzoBXX1taqZu2amhpqa2sP+nc4o3VfK39++89qIGcFg8Pf//53ctU5aq+qZWO2+IHy5q7NtLW0wXGjlyRlMhl+/etfA3D99dcP6DWpbIpntj0DDK31d2+MPWYsTIL1741OG/BjxxyL3+Hnro/eZcxGGoQZQTnR0tICv4BJf5nEcY3HlW0dF198MUuWLDnwi2OADxg/fue473DVZVf1+7rRBgmoHQ4HAV8AdMBOgQva4VaTzP1IkhkXO95kMkk0GiWVSqnqhUjtemfR5f3l36MlgBQbcIfDAdXG74LRINFotGDgqKA/i3RAEZ5IxHD66tw/YySbzCqpncyKESdCsyOYmUBVcCB49vl8BbOSYrFYwX43S+0SiQRbu7fSSScaGnOccxRJEtfHfD5fIUhHACFJbre7gCTl83lSlhS3dd7G86nn0dHxer2KFAlBstvtI1pqBwMcJnvrrbeqBsNbb721JB/0Jz/5Cf/+7//O0qVLWbZsGWDc/P/t3/6N++67j1Qqxbnnnsvtt99+2D0c7evbYTa83fH2QYfGVXBwPPzwwzADuqZ28fNXf875LecXdftmG/C3N5SvYlJKPPTQQ+zZs4fGxkY+8YmBSY9e2PkCsUyMRm8jJ4w9ocQrPDju3HsnfBbee+w9ksnkqPuSv/L4K/nQtA/R4G0ABm4yUG4zgubmZsga5jmZTKZsFf18Ps/69QaB/uFPf8iy9DK6sl184aQv8B8X/EdZ1lQuiNzO7/dDELBDkKCyxT3cSpIMpJXgReb1RCIRovEo26LbsLls2C2GpKy+vp7q6uo+2xFCcDRVkeCAw53D4TAGytYBQSPWkGZz2b/QP0nK5XKqaheLxcjpOSJEjCGy4RxTF0xVBEmy7GAQq0wmg81mq9h+94LI7TweTwFJSiaTBfc0Od+lkrQ2shaASUzCZ/fh9XoVQTKf2xWSdHiQ/efxeBjLWOYyl3GMI5vNsjG9kfWp9XRoHSx0LMTj8SiTBnO11nwNjUQMiCRdddWBDODVV19d9EW89tpr3HnnnRx//PEFv7/xxhv5+9//zv33309VVRX/+q//ysUXX8wLL7xwWO/T+W4nVs1KOBVmd2Q3EwITirH8owLxeJwVK1bA5cb/i2X9bUZzbbMhWXDprNuyrujbHw4Qw4bPf/7z/boe9YfHWx8H4Nzmc8tqPHJs07Gs2L4CvVantbWVY489tmxrKRZ0Xacn2UON2whahCDB+5gRmDDQ55UK48aNw+12k0gk2L59u1FZKgNee+012tra8Pv9xObG6Hqxi+baZv7zQ/9ZlvWUE9ID4XA41Les3q0fVNY1UIjVtPSy6LpOOBwmHo+zt2svESJ4LV4ltRs/fnyfZIZUSySYGakZ3sOB9Fc4HA78+IkQAVDmC0JsrFZrQcXPbN6QTCaVq102myUZT5IlixbUcNoNJ0FpP5AgU9d1otEomqbh9XpHXYLpSCGExmazUWuthZxBkkKhUEElSWSLsViMSCTC+vR++2la8Hg81NbW4nA4VBJcrsOj5fwuBWRW0kTLRMbnDSfVXC7H+oSx75stzTgcDjV0NpfLqWsMCq+dkYhBr/rss8/mnnvuURaWR4poNMqVV17Jb3/724LsSigU4ne/+x0/+9nPOOusszjppJO4++67efHFF3n55ZcH/T6NjY2Qg4meiQBs6Bidcq5S4cknnyRBAiYZ///I9I8U/T1cNhcTfAZx3RTcVPZej2Jj7dq1rFq1CpvNxuc///kBv27FFkMeWk6pHXBg+OcosgH/5au/ZM7tc3h629N9Huvp6TnkazVNY+LEiSxcuLBEqxsYLBYL408eD5+Ba1dcW7Z1/PWvfwXg/PPP5/8t/n98ff7X+f3Hf4/X0XdOzGiHBGc+nw80IAhaXlPfm4dTScrn86RSKTVfR37X09NDKpViV2IXNlPes7a2lvr6+j7BiZCkkdwncLgwOw/K3BecFPS+yPdOf7I7q9WqXNWEWGEBZ8gJGZg8eTI2mw2322hiF+MGGfQrUrsKCiEkyW630+AwElUZMnREOwqcbqUfKR6PG8eAOAAzLTP5/9u77/ioyqyB47/pM+mVJCSUAKEXBSwoICLKYkMR+woqrN1V1/a6u7qrruvqWsBV7KBYFpUm2FhEUEQERFBa6JAQAoH0OvW+f1zuZUIzCVMyyfn6yccw7T4zd2Zyz33Oc47D4SAhIUFP8fLvvySaTgvs/TMUYmJi9CCpm6nbUZUctVL7/r3YIvV7ptGj7tWrF4888gjp6elceeWVfPrpp/UafjXWnXfeyUUXXcSIESPqXb569Wrcbne9y7t370779u1Zvnz5cR9P68Ds/wPQtat6gJeiqB2dNxS1zHSuYPn000/V3khG6JXai44JHYOynd7p6uyEK87Frl27grKNcNFmkcaOHUvbtm0bdJ+9lXv5df+vGDBwfqfzgzm835STfGiGIrllBEm/7PuFBxY+QGFV4VEnTWbPnl0vHfLIM5HavydNmtQs/gi3a98OOsHa0rVhG4MWJF166aXYzDaeOf8ZBrUbFLbxhJN2wBcVFaWXAQd1xgKaNpNUV1cHHC7Lq11WVlZGZU0ltdRixYoZ9SA9MTHxmGldWoCkzSBF6sFLU9lstvpV5aKhuqZaT4XUgqRjzSJpDWMrKir0mSG71Y63xIu33EtGRgYxMTFERUVht9vrNT0F9OBJ1Ke9F00mEwkxCUShVh/cW723XqNYp9Opr0eqqKjgD/yB+7iPdrZ2xMbG1usFplV/lFmkk2MymfSZUTduSihhv2k/Jd4SzJjpZOpUr2myVsTBaDS2iBMxjR755MmTKSgoYO7cuURHRzNu3DjS0tK45ZZb+Pbbbxv1WDNmzODnn3/m6aefPuq6ffv2YbVaj8qnTktLY9++fcd9zKeffpr4+Hj9p107deaoW7duANgq1C/HcFYJizRer1c9ADo0kRCoBrLH4r8uqSUVbzh48CAffvgh0PCy3wAHaw4ypP0Qzsw6s14qWDjoM0kJsCE3sj8/1a5qrpl1DS6vi0u6XsKdp92pX/fRRx9x1VVX4fF4uOaaa/j444/JzMysd/+srCxmzpzJmDFjQj30Y+qTqRZsqFQqqXJVhXz7O3bsYP369ZhMJkaNCuxaxUikBTJHlniura3VF/E3lnYyUksFUxSF0tJSqqqqKCxR18UZi40kJycTExNDZmbmUSm9WoCkrZVpDgF+qGm9kmJiYsANGKCivOKoMuBHFnHQZpHcbjeVlZVqVTuXSy/Goc0sx8XF6aWPPR4PdXV1elPU2NjYiD5gDCatwEJ0dLS+Lml/3X795IB/b6S6ujr9hEM88dhsNuLi4jCbzfq+MJvNrfL9HWjarLjNZuM1XuMlXmLGXrWFSbYxmyiLuhZJO3GjBVStNkgC9QlfcMEFvPPOO+zfv5/XX3+dlStXMnz48AY/Rn5+Pvfccw8ffPBBQM+sPPLII5SXl+s/+fn5AHqevqvAhcVoodZTe6KHEX5++OEHDpYcxJCjnpEJSZCU2LKCpLfeegun08mAAQMYNKjhZ9f7pvXlu5u+Y+lN4a2gBpARk4HdaAcjrMtfF+7hnJT7FtxH7sFc2sa2ZeroqfrZxvfff5/rrrsOr9fLDTfcwPvvv8+VV17Jrl27WLx4MR9++CGLFy9m586dzSZAAuiT00dvjrmjNPQ9xubPV/t3nfq7U7lozkVMWTUl5GNobkwm0zF7JXm93nod6BtCW7CurUfSmtKWlpbidDrZX7MfO4f/jiYnJ5OSknLUQaJ/M9vWOIsE6A0uo6ION5SF+mXAtf2jBUxa6pbT6VSLZFRV6QUEisuKAfU1j4+P1w8StWC4pqYGRVFkFuk3aLM+8fHxDGQgIxhBnCtOD5JcLpceJFVVVVFZV6nfNzo6Wn+/K4qiB0it8f0daFolTf8KdysrVgKQY8zBZrPplexAPQmhzbpGeqodNLBww/Hs27ePGTNm8P777/Prr782uOcLqOl0RUVF9O/fX7/M6/Xy3Xff8fLLL7NgwQJcLhdlZWX1ZpP2799Penr6cR/3qKn0Q7R0u4qVFVS/WY3F1Lx7OjUnc+fOhViINcVidpg5M+vMoG3ryp5XsvWLrTz30XNstLaMIMnj8TBlinrQePfddzdp+t9kDP8ZMYPBQMe4juSW5bKtdFvEVoicuXEmb/78JgYMvHf5e6REqSm406ZNY8KECSiKwoQJE3j99df1g0yTycSwYcPCOOoTy8nJgZVAJmwv2U7ftL6/eZ9A0lLtEs5O4Os9X5MRk8Edp90R0jE0J9qZbJvNhslqUquoeWF/0X5cLhdWq7VeFbXf4vF48Hq9emlxRVFwOp2UlZVRU1tDJZXEEosJdb1NSkoK8fHxRz2Of6pda01F0gpqWK1WdSapGKqTq+sFSf6zSFoamM/n09O8tJLhhRRSnVCNUqbQvn174uLi9H2rBbbafo6JiYnog8Vg014bh8PBAAaoF/rQ1+H5p9ptKd7CMzxDZzozzjKO+Ph44uLi9H1mt9tlFilAtFTI2NhYYjm8ns6IkS6GLnoDWavVqs+ga+XXIXKr2mka/YmtqKhg2rRpnH/++bRr145XX32VSy+9lK1btzaqoMJ5553HunXrWLt2rf4zcOBArr/+ev13i8XCokWL9Pts3ryZvLy8Rp2J12hB0o4tO+DkGp63KoqiqEFSOUwbMI1Nd27CbAxe5+pERyKDeg0CpeXMJM2bN4/8/HxSUlK4+uqrG3y/gzUHKa4pDuLIGu+BwQ9g/MKIM89JQUFBuIfTaLvLdvOH+X8A4P8G/x/Ds9XZ79dff52bb74ZRVG47bbbeOONNyLqj2yXLl2gVP19a/HWkG67tLRUT7XealO3fVWvq0I6hubIbDZjNpuJj4lX/+aYwOtRF55D49YlaaW/tTPkiqLoxQMOVhxE8SgYy9RUu9jYWNLS0o5ZPVOb3dBmRlojLa3Lv6FsNNH6uiGtGeaRs0ha6e+ysjJcLhc1rhpqqMHgNeB2uunSpYu+wF1r8qul2h3v5K04zP9g3J/WsNftdlNTU4PT6WRN1Ro8eHDjxmazkZiYqBcK0A7UW+v7O9C0/bK6ZjW5HF6L7MPHu553+cX1CzExMfVm71pKqh00IUhKS0vjL3/5C71792b58uVs3ryZxx57jM6dOzfqcWJjY+ndu3e9n+hotXRp7969iY+PZ8KECfzpT39i8eLFrF69mptuuolBgwZx5pmNn8lo27Yt0dHRuN1udu7c2ej7t1br169nx44d2O12Ro4cSZvo4HcJ79mzJwCbNm1qcqnc5uSll14C4JZbbmlUusWUVVNI/Xcq//f1/wVraI02YcAEulZ0hfLILN6QYE9gVJdRnJF5Bo8PexxQC2rcdtttgNrgd8qUKRH3xd62bVvMlerJi7W714Z021999RVer5fss7LZXbkbu9ke1JTcSGE0GrFYLOpn/tASpGKK9bVFDf1u83q9uN3uejMabreb0tJSNRXJCfZCO0av+p5NSUkhKSnpmA1ktdmo1pyKpKVB2mw2kpPVohrFxcXU1NTor4l/017tNa+srKS8vJyqqiq14ppHPVA0lBlIiE3QX3PtoNLpdOprkbTyyOL4tNfNbrfjxs0+9pFHHjU1NXqqXU1NDXV1dax3Hi79HR0dTXx8PGazGa/Xq5+ciPQZjObCaDTyxc4veHb3s7hw1buuXCnnpf0vsax0Wb0G19pJAu3+kazRo583bx579uzhxRdfZODAgcEYk+7FF1/k4osv5oorrmDo0KGkp6cze/bsJj2W0WjUizf8+7t/M/CNgbz202uBHG6L9Omnn4IFhl8wXK9eEmxLKpZguNpAdVq1vqYsUv366698++23mEwmbr/99kbdd8H2BSgodE5s3AmIYOveXV03FolBUrw9ng/GfMDCGxZiMVl44YUX+OMf/wjAAw88wKRJkyLyj6vBYCDdmg7VUF1RHdJta6l2acPVJt8X5VxEjDXmRHdpFcxmMxaLhbi4ODiU3a0UK/qMRUODJJ/Ph8fj0YMut9uNz+ejvLwcp9NJbW1tvUXTycnJ6jaPoK2x0YKk1kqrPHjka6Cl0AF62Wn/oFQ7SK+trcXn81FEkdpAts5L27ZtiYmJqbf+wuPx4PF4iIqKklmkBtCCJIfDwT728RqvMYtZemDk8Xiorq7mQPkBdirqie4cckhISCA6Olrvb6UVGhCBYTAaeGz5Yye8zb/W/Auj6eiS6y2hB1ujg6Tzzz8/aJHhkiVLmDRpkv5vu93OK6+8QklJCdXV1cyePfuE65F+i3Zwt2PfDlYXrmb13tUnO+QWb+7cuXAqLBqwiL8v+XtItrmicAVKDwWyIj/l7uWXXwZgzJgxZGU1vHnxrrJd/LhHTV8d2SW8/ZH8ubwuYnrEQM/ICpL2Vu6tt8Yg1hbL008/zf333w/An//8Z5599tmI/kI/zXIa/BuGuxpeQOdkuVwuvvzySwDyY9UTGpJqp6rXK+kQHz69ilpDgiQtsNGCG4PBoB+wV1VVUVNbQ2FhIRaLRS8ckJ6efsyDco/Hg6IorTrVTqMXbtBY1MIN2iyftuhcm33TKtlps0gut4sqqlBQ8FX76NSpEw6HQ5/F0Gb/tHVpctDeMEajEavVSrJZneGroIKqmio9QHW5XKwuWY0XL4kkkmnLJCEhAYfDoafaab2pRGAs27OMwurCE96msKaQFftW6CcgWsosEjSxul2k0oIkzz71LNHGg5F9AB5s+fn5rF69GrqCU3GG7Oxwt2R1xi/Sy4CXlJTw/vvvA40r++30OLnqk6vwKT6GtB9C+/j2wRpio5XWlvK+7X24EjZsjowy4CW1JZz51pmM+XgMpbWlKIrC448/zp///GcAHn/8cf7xj39E/B/WrjnqusutW0O3Jmnp0qWUl5eT2DORgtoCHGYHF+UEvtF0JNLOqvofIBswUF1dXa+Z64n4lwvXDjgURZ2Nqq2tZUPhBrzWw+XEtTVJR86SaP16AH3NTGulFb/QA8lkIPpw9TQ4XLxBC0wBvT+Sy+XC7XLjw4ep2ITdZqddu3b6TJ/JZNJT7ex2O1artVW/3g2lvb/NZjNtHG0wYkRBYU/5Hj1Araur49faXwF1FikqKqpesQwtyBKBs6/q+C13/BXVFumfl5YUJLWq0xtakFS6uRRS1YaykVqhKxQ+/fRTsIKhkwEFJWTrDFpKr6SpU6dSW1tLv379GDx4cIPvd///7mfV3lUk2hN57/L3gjjCxmsT3YZoczTVnmo2Fjb/faMoCn+Y/wfyK/Kxm+2YDCYeffRRnnrqKQD++c9/8sgjj4R5lIGhtTnYtm1byLappdoNHTIUQ3cDMdYYoq2hSctt7rQgyeFwkEwyxRRjxKiXhPavNHc8Pp8Pl8ul38br9eqpdrV1tZRTjj3ZDsVq5kVKSsoxe/H4H/S35lQ7jdVqxeFwqIFSDWCC8qpy6urqiIqKQlEUvVqXyWTSq9rV1tbi8XgoRi2o4/V4ye6QrZf9tlqtei8lbe2TlgopTkyb4TSZTMRExxBXGUcZZeyv3a/3RaqpqWGTZxNweD2Sf5qjf6NlERgZsRkNul0bRxt9H/jPfEe6yA/zGkELkvLW5GE0GCl3llNYdeJpxNZs7ty50AkUo7ouRp/hCTI9SEqGDRsjY7biSF6vl1deeQVoXNnvGetn8Moq9X7vXf4eHRI6BG2MTWEwGMhJUg/Gi7xF+vqK5urNn99k9qbZWIwWPhzzIU8++qQeID333HMtJkCCQ0HSxbCo1yK+2flN0LenKIoeJN006ibmXD2H6ZdND/p2I4m2Lgng0HE1RUVF+qzOiWaTtDLS2nok7TKfz0dFRQX7DuzDgAFbnVqAICkpidTU1GMWh9FS7VpzwQZ/2n6JjY2FQ19hXpdaeVCb/bPb7XpzUv8gSVEUMqwZmApMeCu8pKenExUVVS+Q9Xq9MovUBFqglJCQoPfk2Ve7j4qKCurq6iirLOMMzqAznckmm+TkZH1GUJtFkvd3YA1pP4S20W0xcOz3sQEDWbFZnJlxZr33ekvZDy3jWTRQTk4ORqOR8uJysuOyAXU2SRxNL+urZvBwcdeLQ/Zl3ymxEyaDCWywIW9Do5ouNhefffYZu3btIikpieuuu67B9+sQ34GsuCz+PPjPXNS1eaYtdW9zKIhNUsvyN1cbijZwz1f3APDP8/7Je8++x3PPPQeoFQe19UgtRZcuXSAWPHEeNu4P/izf+vXr2bVrF3a7nREjRgCR3xMj0CwWy+GD8UMOHDjQoAp3/k1ntTOzWr+YyspKdpftxoIFDtXpSExMJDY29phn0rXtyVl2lbZWyL/yYDXVVFRUkJiYSEJCgn6Q53a7qa5W+yi5XC59fZLiVDAbzXTo0EGfmdL6WWkzGvJ6N442y+lwOIhH7fNV4lHXpNfV1eFxejiLs7iBG0iISSAuLg673a6vtZNUu8AzGU08fc7TJ7zNv4b9C5PRVK8/UksJkhqUbqeVMG4IrVJUc2S328nOzmb79u20tbRlO9vZeGAj53c+P9xDa3a++OILPF4P5h5mPHhCWtLXarLSKbETW0u2UmWrYu/evWRmZoZs+4Hwn//8B4CJEyfW68fxWwa1G8TaW9cSbz+6EWRzoc0kkawWbwh2lcumqHXXcu2sa6nz1HFB5wvY9t42Xn/tdQBee+01br311jCPMPAyMjIwV6qf1zW710Dwej4Dh1PtTrn8FAqdhXSJ7hLcDUYgq9WqH5D7c7lcREdHHzdI8i8aAGrAZLPZ8Hg8VFZWUl1dTSWV2FFnjWJiYkhLSyM+Pv6oQFUrZw1IAYFDtGa//sUb6qjTK9z5v4ZaUFpZWYnH48FgMFBcXIyiKOqMR1wcNptN32c+n4+oqCi9HLhoOO31iomJ0YOkUqUUn8+nV3LU2Gw24uPjcTgcOJ1OCUqD6NKcS3ljxBs8vORhSjwl+uVpjjQm/24yv+vwO/2zoX1+Wsp7v0HfmC+++GKDHsxgMDTrIAnUlLvt27cTVxtHTlJOUBujRrK5c+dCBngcHmKsMQztMDSk2++R2oNtB7ahxChs3LgxooKkjRs3smjRIoxGI3fcccdv3l5RFPIr8vUCDclRycEe4knpmnxoejGp+Va4e2jhQ6wrWkeb6DYkf5vM62+9jsFg4K233uLmm28O9/CCwmAw0MbShr3sZdO+TUHfnhYkbe25lZz/5PDV9V81q0qMzYF/6pam2Fv8mw1ltcv9K9Jpl5eWllJUUoQJExaPWtUuJiaGhISEYzbR1IoRSOrXYf6lohWroqYSKVBeXq5XSQP1u7muro6Kigpqamrwer3sqd1DBRV4fV46duyoB0laNTvtsWVWo/G0967D4SCHHOzYySILp9NJaU0pK+pW0IlOxBBDamoqNptNb66sVRYUgWcymbgw+0KSDiTxfd73VPgqSI9J55aRt5DZNpOKiop6gVFL+p5p0DuqJTVf7d69O59//jldCrrw2YufhXs4zVJdXZ1a1tcId3S7g6Q2SVhNof3Cf/eyd7np45uYu24uGzdu5PzzI2e2Tyv7PXr0aDp0+O01RW/9/Bb3fHUPr138GuP6jQv28E7akTNJzdG1fa7lsy2f0XlTZ/771n8xGo28++67/P73vw/30IKqY3xH9rKX3RW7g7qdwsJCVq5cCW3Vg/5oSzRDOgwJ6jYjkbb2JSEhQa2iBlAMlZWVpKenHzdI8p9B0hpkGgwGXC4XZWVl7CzZiREjlAPJ6L2RjjxIdLvd+hleOWg/TFtgbrVaMcQa1PViJnXWyOVy6bP/Ho9HX4/kcrmodlZTQQWGOAOUQNeuXbHb7foMkqIoeilwKZDReNr7PCoqig6H/gP1mGRNxRpmK7NJIYV7TPcQFxenF9nQAtOWdHDenGjBj91qp5tNXZuelZFFakqqng58ZH+klqLlPJMG0oo3bM5tvmspwm3RokVUV1eTGZfJy1e/zJPDnwz5GBLsCfTu1RuIrAp3ZWVlvPvuu0DDyn7/XPgzd395N7WeWgorI6OISI/UHtzR8Q74tPkGSaeln8ZpK09j0RuLMJlMfPjhhy0+QALoldELgCJPUVDX8n32mXqCKX2E2rfu4q4XE2WJOtFdWiXtYNx/JsmD2hQTDhdn8KddpgVFoM4Ceb1eKisrqampAQUsxWpqUVRUFMnJyXqKlz//+7ekA5eTpZXr1ioPAuBVg6S6ujr9di6Xi/LycmpqatRiG2q9DZQKhcSERJKSkrBYLHoFQq0whgSkTeM/k+TP6XTyS/UvAHShC9HR0cTFxREbG6sfoGsBlgg8LQDSGiPb7XYSExP1GVSo3zi2JX3XNGlucs+ePcybN4+8vDz9S1jzwgsvBGRgwaIFSZs2qekoiqKgoGA0tJyderI+/fRTAC677LKwfun07NkTiKwgadq0adTU1NC7d2+GDRt2wtuW1ZVx5SdX4vQ6ubjrxTx49oOhGeRJirPF8dCwh5hy4xS2Wrfi8XjCmubg9XpZunQpBXsLIBHGDBvDDTfcwKxZszCbzXz00UeMGTMmbOMLpQGdB/Bm/pt4jB6KqotIi0kLyna0VLvaTuoaAWkge2zaGe6oqChMmPDixYSp3toX//QuOJxq53a79d9NJhN1dXVUVlaqDU2L1M+c1hcpKSkJu91e7/va7XbrBR9krcbRLBbLMdeK1dbWkpiYCEB1dTVVVVXU1tbi8/kooggjRtxON6ltU0lISKhXYENL/5JZpKbTgkybzcZu527KKae9uz0bXGqRrRxyiIuLIzo6GovFQk1NTf0qkiLgtPdzTEwMcXFq1cHk5GSMRqM+6+0fILWkYLXRRzaLFi3i0ksvpVOnTuTm5tK7d2927dqFoij0798/GGMMKC1I2r17N1d/fDULdixg5lUzGdFpRJhH1jx4vV41SOoI8WfHU1pbSqIjMeTjcHldTK+ZDrfA+jnrI6Kflc/n08t+33XXXSccr6Io3PTpTewo3UHHhI68e9m7ERWot2vXDofDQW1tLbt27VIrq4XB7Nmzueeee9izZw8MAYaC+W9mPKs8WK1WZs6cySWXXBKWsYVDj5wesApsZhsVzoqgBEnV1dV8/fXXkAnllBNtiWZUl1EB305LoPUlslgsJJBAMcUYMBw3SNJSV/ybv1qtVr2qXWlpKQcOHMDpdOpnzv0byPo3nJVZpOPT9ktMTEy916a2tlafSfL5fFRVVVFZWan26XHWUE01Bgz4anz06dNHn+EzGo3YbDZ9hqq5/61qrrQDbKPRSFRUFFOdU3HhIq48jkoqsWChAx1ISEggOjpaD06l/1dwae9ni8VCdHQ0BoOBlJQU/fsKDgdSLe27ptHP5pFHHuGBBx5g3bp12O12Zs2aRX5+Pueccw5XXnllMMYYUCkpKSQnq9PrB0oPUO4slzLgflasWEFRURHmwWb+ueWfes+eULOarPxU/BO0hTJTGUVFRWEZR2N8+eWXbN++nYSEhN9M7Xph+QvMzZ2L1WTlkys/IcmRFKJRBsaOsh2knpcK7cOXcjd79mzGjh2rBkhZwLmABTxu9eDyoYcealUBEhzqlfQ6uF910yE2OD22vv76a+rq6ogbpJ5RvLTbpTgsDa/g2NpoFe50Dti/f79+cOG/Lkn73efz6WuJzGYzbrdbn0naW7sXe5SavhcVFUVSUtJRqXb+s0iS+nVs2pokvTx7HFRVVempkC6Xi+rqaqqrq1EUBXedmlakFCs4bA7S0tL0Br3a66wFSaJptCDJZDIRHR2tV7hbXLkYgE50ItYRS3x8vF7JUUtzlKINwaMFQFqLgejoaJKTk+u1J9C0+iBp06ZNjBunLi43m83U1tYSExPDE088wTPPPBPwAQaDNpsU71I/gBsPRE46V7DNnTsXzKB0UvPkQ1n6+0jdUw/140mJjJQ7rez3hAkTiI6OPu7t1u5by8NfPwzApJGTGNi2+ZXQ/i3/Xfdf8gbmwanhCZK8Xi/33HOPup7DDFyB+m22Dlir3ubdd9/VD0Rbi/T0dGJiYvD5fEEruKOl2pl6qH84JdXuxLSqW3HxalBJFJSUlByzV5I2iwRqoKOlbrlcLioqKigqLqLOUIcpxURycjLR0dF6qp3/bJQ2i2Sz2WRW4zhMJhM2m01PH+JQbFNWVgagl1qvqanB7XZTTDFGjHjcHtq1a0dMTIw+k2G1Wg8XgpDX+6RoBRhiY2P1hrJbXFsAdT1SVFQUUVFR+iyediJBXvfg0YJRu91Ov379GDBgAFC/vYAW4La0/dDoICk6Olr/As7IyGD79u36dQcPHgzcyIJIC5KMxerT33BAZpK8Xi+LFy9m+vTp0BG8Ri+ZsZn0S+sXtjF1S1arqERCkLR582YWLFiAwWD4zbLffdr04c9D/sz1fa7ntoG3hWiEgZWTfKjCXZjKgC9dulSdQQLoBiQCFYBfwcr8/HyWLl0a8rGFk8Fg0FMft2zZEvDH93q9zJ8/H4D3Br/HJ1d+wsjOUvb7RCwWi9qTxxEFalyEB0+9tC7t/1qanf+Bh1aGurq6mr379oIBfMU+zGYzKSkpREdH10u109YyyazGiRmNxqOKLBRTTGVlJV6vVy/YUFdXp5dspwqoUdONtddWewztYF2cHO19vM6zjjzy6l33Ld+yzbKNhIQEtXy7pNqFjLZfoqOj9UI0/uuRtM9TS9PoT/SZZ57J999/T48ePbjwwgu5//77WbduHbNnz+bMM4PcvTBAtCCpamcVdFKDpEhY8xIs9dZ1AKgnCehp6RnW16R7SuTMJGllvy+++GI6dep0wtuajCaeOPeJiH7P1SsDvjz0QVJhoV8lwD6H/v8L4DzB7VqJ+L7xMATu++W+gKcbrly5kgMHDhAfH88F514gB+ENoAdJUVFQC1RAdXS13hhTmznSmsf6r1MyGo14PGpAVVxcTJGvCIvRghEjDoeDxMREYmJi9DPpR65FitTvl1DQXl+73Y7CoV5JoFcQrK2tpbKyUk+pSyaZyuJKzAaz3tpBOzjUGpm2xIPEUDMajXyx8wv+sfUfR11XRRWT902mx8EejO80Ho/HI9UEQ0R7b/tnZ2i/a9e1xPd/o5/RCy+8wBlnnAHA448/znnnncdHH31Ex44defvttwM+wGDQgqTCdYUYDUbK6srYV7UvzKMKj3rrOjSHjn8XvrKQ2bNnh2dgRE6QVFFRwTvvvAOcuOz351s+p85zuLxsJB/A6DNJMbBxe+j3TUZGhvqLA/39yroT3K4Vyc7KhmTY69ob8MfWUu1GjRolAVIDaYUbYmJiSI5T18N6qj1UVlYC6D12tJ5IWsUo7QC8rq6OmpoaisvVog8mTHrJ7/j4eL2iGsgsUmNo+8Vms2GwHPou9qmvYWlpKbW1tVRXV+P1evH5fBQXF+P1eGnTpg1RUVF6apEWHMmBeoAY4LHlj53wJk+uehKX26W/12UmKfj803m1//t/3/g3k21JGv2MOnXqRN++fQF12u21117j119/ZdasWQ1qnNkc9OjRA4Ctm7bSJVFNTWmNKXf11nVoUlFTl9zADrj33nvDtq5DT7dLhg0bm+/+effdd6mqqqJ79+6MGHHsKokLti3gkv9ewuCpg6l2VYd4hIEXZ4sjNSoVgFJDachTbYcMGUJWVha0BRRgH+BX28NgMNCuXTuGDGl9DU4HdlLXuNWaaqlyVQX0sefNmwftYGnfpTz/w/MBfeyWSltUfmTvl5qaGv2gwuPx6NXs/A/4vF4vLpeLqqoqCvMLMRqN+IrVWabExEQ91c5kMuHz+WQtUiMYjUbMZrMa3BxaloQbvWGvVunO5XJRU1dDnbMOn89H27ZtsVgs+uuuPUZLPEAMhx8Lf6Sw+sQZAAVVBSzNW6qn2slrH3za94n2PaUoSr0WBS11HzT5WblcLvbs2UNeXl69n0jQsWNHrFYrdXV1nJZyGr/r8jtsJttv37GFqbeuQ9Pu0P93Au7wruvITswmyhwF5XCg6kCzXPPm8/n0VLu77777mAcm+eX5XD/7ehQUBrYdSLT1+EUdIknX5K7qL8mhX5dkMpmYPHkybAf+DfhNeGr7YNKkSa3yDGPfrn2hRv19R+mOgD3u9u3b2bhxI4beBgpcBazZtyZgj92SaTMO/g1lQQ2SNFo1Om3RunYg4vP5qKuro7S0lL3evZgwYcSoV5fSqtppaXlamp6sjflt2tnv2NjYww1lTehrkMrLy1EUhbLaMnb4duC1qbN72dnZerlv7bWWWbvA2V+9v0G321u5V3qAhZD2naKdVPfvD6Z9B7VEjX5WW7ZsYciQITgcDjp06EB2djbZ2dl07NiR7OzsYIwx4EwmE127qgd4v0/8PV9e/yVDOrS+M87HXK/xM/ACsPA3bhcCZqOZ8kfK6fhZR6hpnil3CxcuZMuWLcTFxelVH/25vC6unnk1xbXF9M/oz6TfTQr9IIMk3MUbhg8frp4FdlJvFikrK4uZM2e2mgayR8rJyYFS9ffc/YHbL/PnzwcDWE9R04qkql3DHFUg4NDxeEVFhT5Lr/3fbDbrZ2cNBgNOp5Pa2lpKS0tRahWMGPWqdjExMWqTWpNJX4ukHTTKLFLDaGuSACgGyqG6plov/+3xePA5fRgw4MFDYmIiUVFR2Gw2fR2YNqskAqNtXNsG3S7FliLFMkJI+07Rvp88Hg+Koujv/Zb6ndPoIOmmm27CaDTy2WefsXr1an7++Wd+/vln1qxZw88//xyMMQaFti4pXD1emoPjrteoAA404HYhYDaa6dmzJ9A8g6SXXnoJUD8XMTExR13/8MKHWb5nOfG2eD658hPsZvtRt4lUdwy8g9FVo2FNeD5Hr059FZfLRa9evfjmm2/48MMPWbx4MTt37my1ARJAWloa5gr1wOGnHT8F7HHnzZsHWeC0OYmzxXFB5wsC9tgtmXYgV+9AOlY9+aSlxwH6OiLtMi3nv6Kign379mGuNuMt9mKxWIiPj9cLNphMJlmL1ARaqlZUVFS9WT6vx6sHSF6vl/3sV0t/13n02TuLxYKiKHqQ1VIPEMNhaIehZERn6IU0jmTAQFZsFqe1OU2CpBDSvr+0Ezput1sPkrRZ2Zao0e+utWvXsnr1aj3IiFTa+Ddt2gRAcU0xSY6kFrujj0Vb13FUyt0hBoOBrKyssK/r6NmzJ1988UWzCZK8Xi9Lly5lzZo1fPHFFwDceeedR91u1sZZTFoxCYDpl0+nU+KJq95FmtMyT2NUl1F8WvlpyIMkn8/H33f/HW6BMX3GcO6554Z0+82ZwWAg2ZjMfvazruAY1SyaoLS0lO+++w7OV/89utvoFhXwB5tW/SwxMZHikmKwqjNJbrcbm01N9daq0fkfhNTV1VFeXk5paal6UI96UJ+QkKCvR9JuK7NIjacFlXFxcRQUFADgdDqpqKhAURRq62px4sSoGDHUGujcuTOxsbF6g19JtQs8s8nMU4OfYsKCCUddpwVOz5z7DEaDUV8XJoJPe521VgVaQZOWvB4JmjCT1LNnz2a5NqSx9CBp8ybaPt+WlH+ntLoKdyaTiauu8kuZuQy4HshqPus6luUtY1bSLLimecwkzZ49m44dO3Luuefypz/9CQC73c66dfUPRt1eN/f/734AHjzrQS7tdmnIxxoK4ZqRfW32a7iSXJAGf7jmDyHddiTIjsqGAjBUBOaA+csvv8Tr82Lup55Xk1S7xtHKgNtsNr1XUiWVevEG7WBd65OkLYrWSn9XVVVhMh1uIBsbG6sHVVp1PK1am2g47SA7Pj6+3uUulwuv10tVpVr4xFPiIS42jvj4eOLj4/VZO4fD0aIPEMPBYDBwSZdLeGPEG6RYUupdlx6dzidXfsKojqMA5KRACPmn2/l/T7X00veNfmbPPPMMDz30EEuWLKG4uJiKiop6P5FCO7jbvGkzMVY1TWrjgfAfhIeS0+nUS3zHJsZCd/Ryys1lXYfFZGGnaydkhj9IOma5dNSFvmPHjq1XLt1isrB4/GLuGHgHTw1/KtRDDZlccy4MhR17d+jNMUPh+f+pldU6+TrRLqXdb9y69RmeNhzehI75HQPyeFpVO4/DQ5wtjvM7nR+Qx20trFYrZrOZ2NhY/a+uq9ZFTU0NUVFReklpLdXO6/XqMxp5eXn4HD58+LBarcTFxRETE6MfnGjlwuWAsfG0wgvabB5xakNZm82Gz+fjAAcwYEBxK6SlpZGQkIDFYtGDpCOLcYjAuTD7Qt4/7X3+3PbP3NHmDp7KeYp1N6/jsm6X6f2RJNUudPxfa6fTWa+Rb0v+3ml0kDRixAh+/PFHzjvvPNq0aUNiYiKJiYkkJCSQmJgYjDEGRbduannpoqIichLUyKC1lQF/+eWX2bVrFxltM7j8zcvBDgmmBL6e/nWzWdehlwGPhcKSQkpLS8MyjmOWSz/CkeXSsxOzeeWiV7CYWu7Z3SdXPAnDQUlS2LZtW0i2uXnLZnZEq1Xb7jn3npBsM9Lk5KjfaVu3bj3px3K5XHz55ZdQBxe2vZBxfcdhM7e+aqAnQ6v+FB0drSe5e2u8VFZW1utU759q53Q6KSkpYa9rL8Y4IwaTgaioKOLi4nA4HJjNZj3txWw2ywFjE2gHeFarFR8+sICC+ppW11ZTRRUmTPhqfXqQpFX0slqtMnMXJNp72W6108PRg7Pjz2Zw1mDiYuP097xUtgs97XtKWwPZ0lPtoAlrkhYvXhyMcYRcTEyMvh4nRVGndFvTTFJxcTH/+Ifa0fq8h89j+vrpGA1GZlwzg/O6nBfm0R0Wb48nPSZdTYVMVteQnXXWWSEfxzHLpftRFIX8/Hz+PuvvDDp1EBfmXBjC0YVPTnIOBZUFehnw3r17B32bj73xGCSA2WvmD0Ml1e5YunRR+79t2bYFj8+D2dj0A+jvvvuOiooK0hxpzJ8wv8X/UQwG7YyrPmNxSG1trT4rAWpAqjWWra2tpbSsFK/bi81qIyEhQa9oZ7PZ9IN17Yx6Sz6bGyxagGq32zFa1X1g8Kkzej6Pj7a0ZW/xXhwWB6mpqcTGxupn0KVgQ/BoQVJMTIx+IJ6cnIzFYsHpdOLz+eTEQBgYjUa9H1tLL/2tafQ77JxzzgnGOMKie/fu7NmzB3uFOmXemmaS/vGPf1BWVkanczsxo3wGAE+f9zQju4wM88iO1j2luxokpagpd+EIkhpUBj0Nns19FtcmF4vHL2ZYx2FBH1e45STlsGTXkpCVAa+qqmLO9jlwCgxLG4bD4vjN+7RGOTk5cC3kdc7jq81fcXGPi5v8WPPmzQPgkksuafF/EINFW/sSFRVFMskUFxdjwkRNTY1evEFbh6QFSqWlpeTn5WOONuNz+oiKiyI2NpaYmBiMRqMeJMni9abT3s9RUVGYY8148IBPTaH2+XxUFVehlCu07diWhIQErFYrLpcLk8mkrwkTgaftl+joaOLj47FYLCQnq7XznU4nIOuRwsFkMulVH7XZ1Jb+N6FJz66srIznn3+eiRMnMnHiRF588UXKy8sDPbag69GjBwCuPWoe+IaiDSdMp2optm/fziuvvALxUHxeMR6fh2t6X8ODZz0Y7qEdk55ylxK+dUm/WQbdBlwFLsXFqC6jGNphaEjGFW45SYcWsYWooey7772Lu6u68v3+C+4P+vYiVZs2bTCZTWCGVdtWNflxFEVRg6Ru0GtEr1bx/RgM2tnwI9ODysvLcbvV97MWHHk8HpxOJ5WVleyp26M2kHWpsx0xMTF6VTttdqo1nM0NFu11jIqKIp5DxRvMh9OJtHWWCQkJJCWp1W8VRcFut8ssRhBp72eLxUJ6ejqpqalER0frBQMAef3DwL8MeGtJd2z0N+tPP/1E586defHFFykpKaGkpIQXXniBzp07R1SfJDhcvOFA7gGMBiOldaUN7vYcyR555BHcbjfDhwzn1KxTOSX9FN6+9O1me1ame8qhcvNhDJK0cunHfY0uBZKhXVw73rv8PYyG1nHQojeUDUGQpCgKU6ZMgflwmuU0RnQeEdTtRTKDwUASSQD8uufXJj/OunXr2J23Gy6B+3LvY9HORYEaYqui9XMxm81ERUXpl+/bt08/EPd6vXpZ3ZqaGkpLS/E6vRgw4Ih1EBsbq5ef1hzVf0k0msFgUNeKARyqPVNUWURedR5eo3owmJmZSWxsLAaDQQ9O5XUPHu21NZvNWK1WHA6HnurodrvrN2cWYdFaelQ1+hned999XHrppbz55pv6C+TxeJg4cSL33nuv2ksjQmhB0tZNW7lu/HUk2BLwKb4wjyq4li9fzieffILRaGTy05Pp1qMbpXWlRFmifvvOYdIztSeZjkwKqgrCFiSZTCYmT57MFVdccfSVZwC9wGww8/GVH5MclRzy8YWLPpOUBJtyN+n5+sGwZMkSNq7fSHR0NAvvXHhS62xag6yoLA5wgG3FTS+oMW/ePGgPxECiPbHVzJAGg1aiWz8gB2pqavT0IZfLhcvlwuPxUFZWRl5BHtZ4KwaPgfjoeGJjY+v1RrJYLK1i4XQw+a8VS0pKonhrMdihoLYABQWP1UO8NV4vluFfJENe9+DxL6iRlZWlz1hoqV4SpIbHkSdomuuJ9UBq9FHGTz/9VC9AAvXFeuihhxg4cGBABxdsWpC0fft21l20rsWfmVAUhfvvvx9S4KbRN+mL7NtEtwnzyE7sgs4X8OvEX0l+OJl88qmoqCAuLi7k4xgzZgydOnVix44dhy/MAi5Qf33uguc4M+vMkI8rnDondVZL5NoVaqihoKCArKysoGzrP//5DwDjxo07qq+JOFrX1K6sYQ176/Y2+THmzZsHvdTfL+9+OVZTy/6ODCYtNc5ut0MsYFXLTVdVVekVu7RAqbKykuKDxRh9RgwWAzGpMcTGxtYrFqAFSeLkGI1qU9KEhAT1gmKoS64jiihwQtvstvoMnsvlwmq1tviyx82B1gMsKipKPzbTUu2k/Hf4tZY1eY0+FRIXF0deXt5Rl+fn56s9ICJIRkYGsbGxeL1etm/fHu7hBN2sWbNYvn853AG+kT68Pu9v36mZSEpKIj09HQh941LN2rVr2bFjB2azmblz5/Lhhx9ywxM3gAnG9hzLH8/4Y1jGFU52s52vfv8V2Z9nQ03w9k1eXh5zN86FYXDJ+EuCso2Wpl/7fgCUG8ubtJZo7969rPppFfRU/y0NZE+O2WzGYrGofycPxTZKlUJVVRVerxe3243b7aaqqorKykpqq2sxeA0kx6kNZB0OR71ZJJnNCAyj0Vg/5Q6wYMHldaHUKbRr146EhAT9dtoMhwge/7L4Pt/h7B5t1lVe//DwD0xbw3okaEKQdPXVVzNhwgQ++ugj8vPzyc/PZ8aMGUycOJFrr702GGMMGoPBoM8mbdq0iUpnZYstA+5yubj/H/fDWMAIilWJuHUzvXr1AkP41iW9/fbbAFx++eWMHj2aa6+9luk3TeejsR816zVdwXZB5wvol9kPlOAFSa+99hrKQAWGwYraFUHZRktzZvczQQGvyduktZafffYZdABiIMmRxPDs4YEfZCuiHVTYbDY9SPI6vVRVVeF0OvUDwLKyMr3dgJYKlpiYqDec1Q7SZRYpMLS0IYfjcKVMK1Y8ZR6io9TgNCYmRi+3LimOoXFkkORftKG1HKA3N60xSGr0fOVzzz2HwWBg3Lhx9d6wt99+O//6178CPsBg6969O6tWreLbTd9yxborSLQnUvxQcYs74J00ZRJ5Z+VBFAxMH8irF70aUc/xscWPsezsZVATniCptraW999/H4CJEyfWW3sjZ9gPp64GI0iqq6vj9fdeh5vVf1/X57qAb6Ml6tWtF7wGuKGipoL0mPRG3f/IVLuW3BQ5FLT0FLvdrl9mxEhtbS11dXW4XC5qamqorq6moKgAs13986z1RYqKitLL7raG0ruhoh34+fewUlDABekZ6djtdr3YhsFg0AMlEVza+1s7zvRvIiszSeFhNpux2Wx66nBr0OhvWavVyuTJkyktLWXt2rWsXbuWkpISXnzxxaMa5UUCvcLdlpZb4a6kpIRHf3oU0iDOGMfca+diN9t/+47NTJ2xLmwV7ubMmUNZWRnt27cnu382F314EQeqD4R8HM3RluItbEnfAqcFJ0j66KOPKMkoASMMyBhA1+SuAd9GS5SamkrcZ3HwCXgOehp13+rqahZ+vVCdSUJOBASCttjcbreTjFrcxYiRuro6PeWusrISp9NJtbcaS4oFkiE2NhaHw6HPeFgsllZzFjeUcnNzKasqg2SooQZfjY+NGzeybds2/YBQK+MeSScYI5X2mmupwlpZdinaEF7JycmH1++1Ak0+FRUVFUWfPn3o06dPvZKmkUYLkrZt2kanxE4ALS7l7rLnLsOV48LgM/DZDZ+RGZcZ7iE1WrjLgGupdjfddBPvrXuPL7d9yZ1f3BnycTRHW4q3MLtsNgwIfJCkKIpasKGv+u/f9/19QB+/JTMYDHTp0gWArVu3Nuq+CxcuxOV0kb0gmwXXL+DcjucGY4itzlG9Rcxqep12AFhVVcXWnVsxJql/mlOMKXplNUVRsFgskmoXYGazmW+++YZnn30Wd60bX7EPT7EHZ63aq+q5555jwYIFQOspe9wcaIGo16uunXa51H6WUjRDhFKDPu1jxozhnXfeIS4ujjFjxpzwtrNnzw7IwELFP01oeOpwtpVsY0PRhhaTf7/k1yUstSwF4O5OdzOk45Awj6hp9CApGXbt2kV1dXW9hbbBtH37dr755hsMBgPjbxzPsLnDABjT48SfhdbCvwx4QUEBlZWVASvismLFClbvWA2XgNFg5OpeVwfkcVuLnJwcfl7zM79u+ZXRjG7w/ebNmwfA6EtGc0GXC4I1vFZFW8titVox28zgBOKgcF8hHo9H7Yvk9bKveB+WeAtep5fEjMR6a2K0VDsRWM8884y+Lszr9kK5mubl8Xioqqri0UcfZciQIeq+kyApJPwblwJ602WZRRWh1KCZpPj4eD1yj4uLIz4+/rg/kaZLly6YTCYqKytp52gHwIYDG8I8qsB5419vwEfQfk97Jo2bFO7hNJmeYhUDil1h8+bNIdv2tGnTADj//PPZqewkrzyPeFs8o7s1/KCzJctOzMZkMIEViCWg++Y///kPqJXqGZ49nIzYjIA9dmtg6GqAv8ArZa80+D5er5f5n80HA1x66aVBHF3ros1CWK1WkuKToBgoAZfTpabYVVerP55qLFgw2UxER0fXW4Ok3V8Ezvfff8/+/fvx+Xy43W59fZiiKFRUVFBbW0tBQQGrV6+W9UghpAWjPp9PbyILUtlOhFaDToloB4kA77zzTrDGEhZWq5XOnTuzZcsWYmvVs98tJd1u5cqV/Pe//8VgMPDpjE8jeoo6xhpDVlwWeyr2QLKacte/f/+gb9fj8ejv+QkTJvDOWvX3a3pfg8PiOP4dWxGryUrHhI5sL90OyeqsbCB6pu3bt49PPvkEzoJoczTX97k+AKNtXbpndYdCKHGVNPg+K1as4GDsQQw3GPiO7zgXSbULFLPZjMlkOmoWvLy8HJfLxfad2zElmDBgINmUrDeQ1WaRbDZbRH+PN0eFhepMnsViwel06gfjiqJQXl6O1+vFbrdTXFws65FCyL+6ndfr1Ys2yEySCKVGr0kaPnw4ZWVlR11eUVHB8OGRmaKmpdwpReoCwQ0HNjSpr0hz4VN8PPi/B7nrL3cBMH78eE455ZTwDioAuiV3U38J4bqkBQsWUFBQQHJyMuf+7lxmbpwJwI2n3BiS7UeKnOTDKXeBWpf0xhtv4Ha7GeQaxIGHDnBN72sC8rityaBugwBwW91UOisbdB+tqp0Sp7C3qumNaMXRtEXnWkYGQHFxMWVlZSiKQn5RPlaTFZ/bR1y0uhYpKipKv58cpAdeRkaG/ve+rq6O6upqvF4vHo+H4uJifD4fFouF1NRUSbULIS1IUhSFuro64PBJBiFCpdFB0pIlS/QFdP7q6upYunRpQAYValqQVL6tnImnTuTRoY/iVSKn0eqR/r7k7zy3/DlW9VmFPcbOk08+Ge4hBcTg9oPpbukOtaELkrSCDTfccAPzt8+n1lNLt+RunJF5Rki2Hyn0dUnJgQmS3G43r732GgB33XUXDosjIisyhtupPU+FGvX3jfsa9pn5dP6n0EP9XaraBZYW5JjNZhSzemDuwoXRaFRT7XzV2LBhtBiJiorCbrfXW48kZ9EDb8iQIaSmpmIwGPRZJFAbl5aVlWE0Gmnbti0DBgyQ1z+E/BvKaj3E5PUXodbg0yK//vqr/vvGjRvZt2+f/m+v18tXX31FZmbkVU0Dvwp3udv430v/C/NoTs7sTbN58rtDQdE3cP8995OVlRXeQQXI34f9naG+oZz3l/PY6At+kLR//37mz58PqKl2S2uXkhqVyk2n3CRnc4/gX7whd/3JB0mzZ8+mcF8hSb2SuOKKK0768VqrlJQUjOVGfFE+lm9ezhkdThzcb926lVxnLkRBsiOZczqeE6KRtg5aGW+r1UoFFZAMhmIDJpOJXbt2YSpXz5IntzmcamcymfB6vVLVLkhMJhNPPvkk99xzDzU1NfrlxcXF+uv+8MMPY7FY5PUPMaPRiM/nkyBJhE2Dg6RTTjlF7/Z9rLQ6h8OhLrKOQFqQtGnTpjCP5OSsL1rPuDnj1H8shzaFbXj44YfDO6gA69mzJ6BWnKurq6vXmDHQpk+fjsfj4YwzzqB37970pjcT+0/E5T16JrW1u6rXVXS3deeCf1zAVuNWPB7PSaWmvPzyy9ABSq4s4Zz3zmH5hOUSmDaBwWAg3hdPKaWs2bXmN28/f/58UD9ijO05FrNR0osCSTvIttlsJJNMMcWYMeP1eikoKNAXpcdFxxEdHU10dDQ+nw+z2YzZbJYGskFy8cUX43a7mTx5MnV1dfp6pMzMTJ555hnOOeccef3DwGQy6c1kQYo2iNBr8F/AnTt3oigKnTp1YuXKlaSmpurXWa1W2rRpE7FnWbp1U9e67NmzhwOlByhwFuDyujg98/Qwj6zhSmpLGD1jNNXuaiz5FtwL3Tz+yuMBK8XcXKSlpZGQlkBZURmbN2+mX79+QdmOoih6qt2ECRP0yy0mCxaTnM06UlpMGuf1PQ+HxUFtbS27du3Se/Q01tq1a/n+++8xjDagoNA3ra8ESCchw5ZBKaVsObDlN287d/5cOPS1J6l2gWexWDAajfVO7hjsBgoLCyktLSUpKYnk5GQcDgc2m43Y2Fi8Xi82m02fhRKBZzKZGD58OH369OHHH3+kurqaO+64g1GjRlFeXo7b7ZZZjDDwP6bUGvkKEUoNPi3SoUMHOnbsiM/nY+DAgXTo0EH/ycjIiNgACSApKYk2bdoA8Pp3r3Pq66fywP8eCPOoGs7r83LtrGvZUbqDeF887v+66d61OxMnTgz30AJKURS6vtyVstvLICm465J++OEHNm/eTHR0NFddfRWLdy7Gp/iCtr2WwGg06iccTmZd0ssvvwwmMPdVz+Fc1+e6gIyvteqT2Ac2gvXgic/CFhcXs6xgmZpqZ09maIehIRph66FlY1gslsNN2KNhS/4WjMlGFBRMZrX6XWxsrB4Ymc1mOUAMIm3WOyYmhi5dujBgwAAuueQSDAYDXq9XDtDDxH/mTl5/EQ5NzqXYuHEjeXl5RxVxiNS+Gt27d6eoqAhDsXqmTqtwFwln7krrSjlQfQCH2UHN6zVQA88++2yLq8RjMBiIs8Wp/whyhbu33noLgKuuuoqfDv7EiPdG0DetL2tvXRsR74lwmLpmKhXDKqBIDZIuvvjiRj9GcXExH3zwAeSA2+QmKy5LDtZP0oVdLuSjJz/CdO6JT2R9+eWX+Ep9JG9L5o6b75BUuyDQGsra7XZ1lr8csEDevjxiM2Nxe91ER0XjcDhITEzEaDSiKIpU9Qoyo9GIwWDA4XDQpUsXHA4HBoMBj8eDz+fTqwuK0PIPklra8YyIDI1+1+3YsYPLL7+cdevWYTAY9NKZ2oGj1h050nTv3p3vvvuOyp2VGMwGSmpLKKouIi0mLdxD+00pUSl8f/P3jLljDAvyFzBs2LAmHaBGgm7J3fi58OegBkkVFRV8/PHHgJpq99ovapW1s7LOkgDpBObkzmFHwg5o2/SZpKlTp1JXV0f8kHjKKefa3tdiNMg6gJORk6MW1di6desJbzdv3jw4CLd3vJ0nzn0iFENrlbT1Rfv374cKIBnMsWYcOHCWOakwVeilv/1nMWQ9TPD4v7Zt27bVZy08Hg+KokiQFCb+gZHNZgvjSERr1ehv3XvuuYfs7GyKioqIiopiw4YNfPfddwwcOJAlS5YEYYihoRVv2J67nU6JnYDm31S2ylWl/567LpcFby0A4LnnnmuxB/PdU9T9FMwg6aOPPqKmpobu3bvTe0BvZm2cBUhvpN9ysmXAvV4vU6ZMARtUZ1YDSAPZANCCpD3leyipOHZTWafTyVdffQVEbjZApDCbzfzwww8sWrTo8GVxZgwY8Lg8rF69ml27dumlv81mM1artcV+pzcXWhCkFQpQFEWvqiYFA8JDZpJEuDU6SFq+fDlPPPGEWlr2UB37wYMH8/TTT/PHP/4xGGMMiR491MYgubm59GrTC1BT7pqrouoiek/pzRPfPoHX5+X+++8H4Pe//z0DBgwI8+iCxz9I2rp16zF7dp0sLdVuwoQJzNw4k1pPLT1SekRUIY9wqFcGvAlB0ueff86uXbuIHhCNBw89U3vSN61vgEfZ+iQnJ2O83Qj3w8xVM495m2+//ZbK7EqS+idxyqmnhHaArdCUKVNwu934fD4ohjji8NR5cFW7cLvdvPvuuyiKgsfjwWQyyQFiCGivsc+nrj1VFAWv16uvCROhZ7VaMZvNeuESIUKt0UGS1+vVK6alpKSwd6/akb1Dhw5s3rw5sKMLIW0macuWLXRPVn9vrjNJbq+bqz65it3lu3n/1/eZNX8WS5YswWaz8dRTT4V7eEHVLVktDECK+l78rRSixlq/fj0rV67EbDYzbtw43vnlHUCdRZIzuSeWk3x4Jqm4uJiDBw826v4vv/wyALedfRsLb1jIMyOekdc8AAwGA7GK+p29eufqY95mzrw5MApKLi1hecHyUA6v1VmzZg0HDhygtrZWn7UwYMBd7cbldFFXV8eOHTtYsWKFXv5bUr2CT/uu0YIkn8+nB0kykxQ+bdq0ITk5OdzDEK1Uo4Ok3r1788svvwBwxhln8Oyzz7Js2TKeeOIJOnXqFPABhkr79u2x2+24XC5SUcubN9eZpPv/dz/f7v6WWGsss66cxd/+728A3HvvvbRv3z7MowuunOQcDBjAAUQFPuVOK/t96aWXUm4q5/u87zEajPy+7+8Dup2WSJ9JSgSMjZtNys3NZeHChRgMBu664y5GdBrBxV1b5rq6cEi3pgOQu//ofaIoCjN/ngkOSLQkcna7s0M9vFalqKgIUE/yOJ1OMICCgtvtpra2lurqaioqKti/fz9GoxGbzSbrkULgyHQ7p9Opr0eS11+I1qnRn/y//vWv+pmWJ554gp07dzJkyBC++OILXnrppYAPMFT8yxcnVibyr/P+xaNDHw3zqI42bc00/rNSbdr7/pj3WTZ3Gbm5uSQnJ/PII4+EeXTBF2WJ4qpeV9GtshuYAhskOZ1Opk+fDqipdnNz5wIwsvNI2sa2Ddh2Wqp28e2wmWxgAuIbFyS98sorAFxyySV07NgxOANsxbITsgHYXbn7qOt++eUXDqaps35X97kak1FmLYKpbVv1u8TlcuF0OUGBWmctvhofPp+P8vJyQE2TNJlMWCwWmVENAS1I0opRud1uAHn9hWjFGp3kOXLkSP33Ll26kJubS0lJCYmJiRH/RdK9e3d++eUXynaW8fCYh8M9nKOs2LOC2z6/DYDHhz3OuW3Ppcvf1Iadf//734mPjw/n8EJmxtgZPLfrOR6sfDCgQdKnn35KSUkJmZmZjBw5klHGUQzpMASTQQ4aG8JoMNIlqYs6A5vQ8CCpoqKCd955B4Ci84q4f8H9PHj2g6THpAdvsK1Mr7a9+GrfVxz0Hp0COfvT2XBoqd91faUnVbCdc845JCUlUVFRQU11DSSDr8RHbU0tbrebkpISOnbsSO/evaU/Twj5zyQpiqIHSZJqJ0TrFZA55KSkpIgPkODwuqRNmzaFeSRHq3BWMObjMbi8Li7vfjl/HfpXnn32WYqKisjJyeHWW28N9xBDqmfPnkBgZ5K0VLubbroJk8mEwWDgzKwzOS3ztIBto6X7/LrPmdxmMuxseJA0ffp0qqqqyD4tmx9Lf2TyiskSmAbY6V3UoiM1thr9TLnmwxUfgh3iTfGc3V5S7YLNYrFw99134/V6cblcuFwuPDUenE4nNTU1lJWV8be//Q1FUbBYLLIeKUS019nr9eLz+fB4PHrjXyFE69TomaTq6mr+9a9/sWjRIoqKivTUO82OHTsCNrhQ04Kk3NxcdpftZtXeVXSI79AsDpLjbHE8MewJpvw0hXcve5e9BXt5/vnnAXjmmWda3Rd5h5wOkAibN2/G4/GcdOWb3bt3s3DhQkANkrw+r6QdNUGHhA7069kPaFiQ5PP59IIN3cd2Z2ftTi7ofAGp0alBHWdrM6TPEPgOFIvCzgM76dRGXT+6Z88ettu2A3BlzyulJ1UIGAwGhg0bBsCsWbPUIMnj0XsMzpgxg7POOovq6mqsVqushwkR7XXWZpG09UhSVU2I1qvRn/6JEyfy7bffcsMNN5CRkdEiZpA0/kHSqz+9yjPLnuGOgXc0iyAJYEL/Cdx4yo2YjCb++Ogfqa2tZfDgwVx22WXhHlpILctbxuAPB2MYZ8A92c327dv19WRNNW3aNBRFYfjw4SS3Tabdi+24tNulvDjyRRwWR4BG3jpon6OdO3dSV1eH3W4/7m0XLVrE5s2biYmNIdeaC7XSGykY0lPTsW6w4qpwkXdhnh4kzZ8/Hw5lNY4fOD6MI2xdzGYzZ599NomJiezYsYO6ujpiYmK48MILadeuHYWFhXrRhpb0N7Y507IHFEWhtrYWUPeTvP5CtF6NDpK+/PJLPv/8c84+u+WlZXTt2hVQyxe3d6hV4ppDhTtFUfQvapPRxC+//MK7774LtOzGscejNftVEhS9eMPJBEler5epU6cC6kmATzZ+QmFVIUvzlmI3H/8AXxytoKKAx1c+juVqC+6P3Gzbto3evXsf9/b/+Y9ahGTUhFF8Uv4JUZYoRncfHarhthoGg4F+ef1YtWoVJbeVwKHzPvPnz4cv4c5/3slZ7c4K7yBbEW12wmazkZaWBkBcXBwpKSm43W69P1JryxAIN5PJhMfjkSayQgigCWuSEhMTSUpKCsZYwi4qKooOHToAYCu3AeEPkvLK8+j9am9eWP4CiqKgKAoPPPAAiqJwzTXXcMYZZ4R1fOGQHpNOnC0ODEDSya9L+vrrr8nPzycxMZHLL7+caWunAXBjP+mN1FgGg4E3f34Td3c3mE6ccrdz504+++wzAOynqcHo6G6jibHGhGSsrU1Ojlqifdu2bQBUVVWxaNEiAO687E5JtQshbf2L1WrFYDBgMpmIj48nLi4Op9Op90eSVK/Q0lLutGUEEiQJ0bo1+q/ik08+yWOPPUZNTU0wxhN2WqpQ3Z46DBg4WHOQA9UHwjaeqWumsvHARj7b8hkGg4EFCxbw9ddfY7Va+ec//xm2cYWTwWCge8qhclwpJx8kaQUbrr/+evKq8/gh/wfpjdREGTEZRFui1QA24cRB0pQpU1AUhfPOP48FexcAkmoXTJ27dIYY+GnnTwB8ueBLXB4XXbp00b/3RGhoB99RUVHExsYSExOjn3x0uVz6baRoQ2j5v95StEEI0egg6fnnn2fBggWkpaXRp08f+vfvX+8n0vXo0QOAnVt2kp2o9hYJ12ySx+fhrZ/fAmCwYzDvv/8+t99+OwB333032dnZYRlXc9At+VB63UkGSQcOHGDu3LmAmmr37lo1jfF3XX5HRmzGyQ6z1TEYDHRJUsvSk3z8IKmmpkYPTifeMZFrel1Dr9ReXND5glANtdUpyyiDB+Arx1cAvLroVXgAkq5sGdVJI4l28G2327Hb7URFRZGWlobP58PtdmMwGE64lk8Eh//nwGw2S9EMIVq5Rs/lt/QiAf7FG3oO6MmO0h1sKNrAsI7DQj6WL7d+SUFlAcZaI09e9ySoxY8wGAz07ds35ONpTvxnknJX5eL1ept01vX999/H7XYzYMAAevfpzcWTLwbUVDvRNDnJOfyy/xdIOn6Q9OGHH1JaWkrHjh258pIrucZ0Tb21dyLwBnQaAPuh2lqN1+tlWekySIP2We3DPbRWRzv4tlgsxMTEYDQaiY2N1UuCG41GCZLCwD+9UVLthBCNCpK0vgE333wzWVlZwRpTWPkHSWNTx/LZls/YeCBwvXga4/HPHwfA97NPD5BALeRw4403EhMTw5gxY8IytnDTZpIMqQbq6urYtWsXnTt3btRjKIqiz2ZMmDCBb3Z+w56KPSTaE7m026UBH3NrkZOkrn0hGXKX5B4V/CiKopf9vvPOO/XgVgKk4BraeygsB5/Dx6yvZuHKVtO6/njeH8M8stZHm0myWq1kZmYSHR2NzWajvLwcn8+H3W6XVLswkCBJCOGvUXPJZrOZf//733g8nmCNJ+z8yxdf0fUKZl45kwfPfjDk49hVsovV5avVf/x87Nvce++9em+N1ubUjFOZeOpEMg9kAk1LuVuxYgUbNmzA4XBw7bXX0i2lG38Z8hfuPfNebGZboIfcamhBkiHZQHV1NXv27Kl3/bJly/jll19wOBz0u7Afi3cuxutrne/jUMpum42hVg1E/zznz2CDKHcUZ3doeZVKmzuTyaTPJqWkpBy1HslsNkuQFGayHkkI0eiE2+HDh/Ptt98GYyzNQps2bUhISMDn8+GocHBFzyvomNAx5OP4+7y/q3tnJ1B89PWKopCfn8/SpUtDO7BmolNiJ9689E2GOoYCTQuStFmksWPHkpCQQPv49vxj+D947JzHAjrW1iYnWQ2SbPFqoHlkyp1W9vv666/n5V9fZvj04Tz9/dOhHWQrFVUXBcD2DLWB7LltzpWqdmGizVpoJx0VRaGurg5QCzqI0NPWIVmtVqksKIRo/JqkUaNG8X//93+sW7eOAQMGEB0dXe/6Sy+N7DQlg8FA9+7d+fHHH9m0adMJe7wEU7YvG9YDv3HsX1hYGJLxNFc9e/YEGh8kVVVVMWPGDEBNtROBc0bmGVT8XwXjrhnHXOaSm5vL+eefD0BBQQGzZ88G4IZbbmDEVyMAuLz75WEbb2sxe/Zs6grrIBH9m3/FtBXMzprdatN2w8lsNuNyufQgyev14na79SayIvTMZjMpKSkSIAkhgCYESXfccQcAL7zwwlHXGQyGFpH+pQVJubm5LN65mJUFK7mk2yX0TO0ZsjGc0+kcmPnbt8vIaL0V2Oo8dURnR0Ni44Okjz/+mKqqKrp06cLQoUP586I/MyhrEL/r8jssJkmzOBkWkwWLyVJvfZ/m9ddfx+PxMGTIEDYZNuH2uemX1o9ebXqFa7itwuzZsxk7dizKMOXwhWVw8JeDjB07lpkzZ0qgFGJaOp0WJDmdTrxeLxaLRVK9wkgCJCGEptHfBlqTtZbM/+Bu5Y8r+WzLZ8TaYkMaJA0ZMoSsrCwKCgpQFOWo6w0GA1lZWQwZMiRkY2pu/vrNX3l+6/NwBmxaugmfz9fgkq3+BRu2FG/h6e+fxmQwsedPe0iPSQ/msFuNI4Mkp9PJ66+/DsBdd93Fy+vU4g3SGym4vF4v99xzj/o9sgtogzqb9AugAAZ1fePo0aNlHUwIHRkk1dbWAupaGNkPQggRfieVjK7lT7c09cqAp6iB0Yai0PRKyi/P576v7mNLyRYmT5583AAJYNKkSa36j6lWBtyQqhYIyMvLa9D9Nm3axA8//IDJZGL8+PG8+4vaG2lUzigJkAJk2pppvFL5CvQ/HCTNnDmToqIi2rZty4DhA1iatxQDBq7pfU2YR9uyLV269HDxjJ3AR8BrwHL1ota+vjFctOppRwZJDocjbGMSQghxWKODJK/Xy5NPPklmZiYxMTHs2LEDgEcffVQ/Ox/p/IOkHilqc9mNB0NTBvztNW8zacUkbv/8dsaMGXPMfkhZWVmSHsPhMuDmdHVCtKEpd9r79KKLLqJNWhum/zIdkN5IgbSzbCerildBJuzdu5eKigq97Pdtt93GzFw1l3Roh6G0i28XzqG2eA1dt9ja1zeGmpbW5fV69SaygPRHEkKIZqLRQdJTTz3FO++8w7PPPluvj0Dv3r156623Ajq4cOnUqRMWi4WamhpSSQVCM5Pk8Xl4e416AH/rgFs5ePAgGzao233//ff58MMPWbx4MTt37mz1ARIcnklyR7nB0rAgyeVyMX26GhRNmDCBr3d8TUFlAUmOJC7uenFQx9uaaGXALenq2op7772XH3/8EbPZzB/+8AeW5S8DJNUuFBq6brE1r28MB23dkcfj0dcjmUwm6c8jhBDNRKPXJE2fPp033niD8847j9tuu02/vF+/fkeV+o1UFouFLl26sGnTJrz71UIUB2oOcKD6AKnRqUHb7lfbvmJPxR6SHcmM6TGG6dOm4/V6OfXUU7n+ejmYPFJKVApJjiRKaksgqWFB0meffcaBAwdIT0/nwgsv5IZPbwDgut7XSW+kAOqa3BUAd5x6dnzatGmAmmL0ww8/8Ok1n7KyYCXdUrqFbYythaxvbJ60VGlFUaipqQGQ0tNCCNGMNHomqaCggC5duhx1uX+6QEugpdzt3rqb7IRsADYeCG7K3eur1UXtN55yIzazjY8//hiAq666KqjbjVQGg0FPuSOlYUGSNtt54403UuWpYs6mOeq/T7kxWMNslXJ/OHTCJBbwK9RVU1PD2LFjmTNnDmdknUGCPSEcw2tVTCYTkydPBg6vZ9TI+sbwMZlM+mteWVkJIKW/hRCiGWl0kNSzZ89jLvCdOXMmp556akAG1Rz4r0vSyhNvOBC8lLv88ny+2PoFAH/o/wcOHDjA4sWLAbjyyiuDtt1Ip6XcaUHSsc6Ua/Lz81mwYAEAN998M3sq9tAjtQe92/Smf0b/UAy3VfB6vfz1/r9CzaELkvyuNIBiUrj33ntbRLuASDFmzBhmzpxJZmZmvctlfWN4aUGSrEcSQojmp9Hz+o899hjjx4+noKAAn8/H7Nmz2bx5M9OnT+ezzz4LxhjDwj9Iev7R5/nHuf8IamrQ1DVT8Sk+zulwDt1SuvHGG2/g9Xrp378/nTt3Dtp2I93YnmPpFN+Jv739NyorKykoKCArK+uYt33nnXfw+Xycc8455OSoa2bW3LqG0trSo86wi6bTq6mVAFFAMrD/0JXtgGshf41aTW3YsGHhGmarM2bMGEaPHs3SpUspLCwkIyODIUOGyAxSGGkNZTVS2U4IIZqPRgdJo0ePZv78+TzxxBNER0fz2GOP0b9/f+bPn8/5558fjDGGhRYkbdq0iVPSTwn69hwWB8mOZG4dcCsAn3zyCSCpdr/lwpwLuTDnQj6I/oBcctm4ceMxgySfz8fUqVMBtWCDv0RHYkjG2lroVdKKUfvx+PfF7AM4gCipphYOJpNJAtNmxH/9kcVikfVIQgjRjDTpG3nIkCEsXLgw0GNpVrp1U2eNCgsLKS8vJz4+Pqjbe+jsh/jjGX/EZDBx4MABvvnmG0BS7RqqZ8+e5OaqQdIFF1xw1PWLFy9m165dxMXFccUVV/DT3p/oltyNWFtsGEbbsulV0j4F/HtPm4Beh37/FTLukWpqonXTKtyBpNoJIURz0+g1SZ06daK4uPioy8vKyujUqVNABtUcxMfH6wd7ubm5TP5xMn+Y9weKa45+7oFiN9uxmCzMmTMHn8/HgAEDWtRrGixbirdg6mUC+/GLN2gFG66//npsdhujZ4wm/fl0VhWsCuVQWwWtmppBOSKFsTNq+l0VZHmkmpoQ/qmOEiQJIUTz0uggadeuXcdccO10OikoKAjIoJoLLeVu8+bNTFoxibfWvMX6ovUB3UZhZSFf7/gan3L4lLtW1U5mkRpm9IzRfGL6BNoeO0gqKSlhzhy1it2ECRNYuGMheyv34jA76JfeL9TDbfGOW02tz6H/r4fJL06WtTCi1fP/DERFRYVxJEIIIY7U4HS7efPm6b8vWLCgXvqZ1+tl0aJFdOzYMaCDC7fu3buzePFitcJd717sKtvFxgMbOafjOQHbxhur3+Dv3/6d6/pcxwdjPqCoqEiq2jVSt+Ru5B7MrVfhzv/g/IMPPsDpdNKvXz/69+/PtbOuBeC6PtdhNUnjxmAYM2YMMz6Zwbgvx+GMdsI04FAhwmeuf0aqqQmB2hfJYDBgNpuliawQQjQzDQ6SLrvsMkA9Mzx+/Ph611ksFjp27Mjzzz8f0MGFW70y4Of24vOtnwe0DLjX5+WtNWoa2EU5FwHoqXYDBw6UVLsG6p7SnU83fwopULqylP3795Oeng6ojRq1VLuJEydSVlfG3Ny5gPRGCrarrriKu3feTVF1EaOeHMWXZV+Sk5TDg9c/GO6hCdEsWK1W2rdvH+5hCCGEOIYGB0k+n5oOlp2dzapVq0hJSQnaoJqLHj16AGqQNDp1NBDYXklfbfuKPRV7SHIkMaaHemZdUu0aT2so62jnoJZaNm7cqAdJq1ev5tdff8Vms3H99dczY/0MnF4nfdr04dT0ltPXq7nKScqhqLqIwf0H09/dn7axbaXcuhB+ZAZJCCGap0avSdq5c2fAAqRXX32Vvn37EhcXR1xcHIMGDeLLL7/Ur6+rq+POO+8kOTmZmJgYrrjiCvbv33+CRwwsbSZp27ZtdEtSD8Q3Hjh2YYCmeH316wCM7zceu9lOUVERS5YsASRIagytoaySrDaS9V+X9PbbbwNq+ldiYiLv/PIOoM4iycF68OUkq/2ovD4v/xj+D+447Y4wj0gIIYQQ4rc1qQT4okWLWLRoEUVFRfoMk0brRdMQWVlZ/Otf/yInJwdFUXj33XcZPXo0a9asoVevXtx33318/vnnfPLJJ8THx3PXXXcxZswYli1b1pRhN1pmZibR0dFUV1djq7QBUFRdxMGag6REnVyguKdiD59v/RyAP/T/AwCzZ8/WU+2ys7NPbvCtiNbkt85aB9bDQVJNTQ0ffvghoKba5ZXnsapgFSaDiev7XB+28bYmXZO6ArClZEuYRyKEEEII0XCNnkl6/PHHueCCC1i0aBEHDx6ktLS03k9jXHLJJVx44YXk5OTQtWtXnnrqKWJiYvjxxx8pLy/n7bff5oUXXmD48OEMGDCAadOm8cMPP/Djjz82dthNYjQa9X5J+dvz6ZjQEVBLTp+sqWum4lN8DO0wlB6palqfNJBtmiRHEqlRqeo/kg8HSTNnzqSiooLs7GyGDRtG+/j25N2XxwdjPiAtJi2MI249tJmk9399H5fXFebRCCGEEEI0TKNnkl577TXeeecdbrjhhoAOxOv18sknn1BdXc2gQYNYvXo1brebESNG6Lfp3r077du3Z/ny5Zx55pnHfByn04nT6dT/XVFRcVLj6t69Oz///DO5ubksmLCAjJiMgDQg/T7vewBu6X8LAPv379dT7caOHXvSj9/aPDPiGfYX7OeRskf0IElLtbv55psxGtXzAVlxWVzd++qwjbO16ZLURf+9pLaE9Jj0MI5GCCGEEKJhGh0kuVwuzjrrrIANYN26dQwaNIi6ujpiYmKYM2cOPXv2ZO3atVitVhISEurdPi0tjX379h338Z5++mkef/zxgI1PW5e0adMmHkp+KGCPu+D3C1iat5TTM08HDqfanXbaaZJq1wQ3nXoTNd1q+HPdnzlQe4AffviB7777DqPRyI033ohP8WE0NHriVJykfmn9+PPgP9Muvp0ESEIIIYSIGI0+apw4caK+ziMQunXrxtq1a1mxYgW3334748ePP2ZD0IZ65JFHKC8v13/y8/NPanz+ZcADyWAwMLTDUOxmtcu6pNqdvKioKDp06ADAjTfeCMDIkSPJysri97N/z6gPRrF67+owjrD1MRgMPHXeU9w28LZwD0UIIYQQosEaPZNUV1fHG2+8wddff03fvn2xWCz1rn/hhRca9XhWq5UuXdSUnAEDBrBq1SomT57M1VdfjcvloqysrN5skn8PnGOx2WzYbLZGjeFE/IOkA9UHePzbxymoLGDO1XOa9HgVzgrMRjNRlsPd1ffv38+3334LSKpdU1W5qnj6w6fZk7oHdsHWrVsBWLlyJdM/mc6szbNweV38c/g/wztQIYQQQgjR7DV6JunXX3/llFNOwWg0sn79etasWaP/rF279qQH5PP5cDqdDBgwAIvFwqJFi/TrNm/eTF5eHoMGDTrp7TRUTk4OBoOBsrIyKksreWXVK8zNncvBmoNNerzJP06m7fNteXnly/plWqrd6aefTseOHQM08tZl+qzp/HP3P/Fc4AG/yt4lJSWM//d4XF4XfdP6ckr6KWEboxBCCCGEiAyNnklavHhxwDb+yCOPMGrUKNq3b09lZSUffvghS5YsYcGCBcTHxzNhwgT+9Kc/kZSURFxcHHfffTeDBg06btGGYLDb7WRnZ7Njxw69wt2usl1sPLCRoR2GNuqxvD4vb615i3JnOYn2RP1yaSB7crxeL/98+J8wHrAA8UCZep2iKNBP/X1c33HSG0kIIYQQQvymJvVJCpSioiLGjRtHYWEh8fHx9O3blwULFnD++ecD8OKLL2I0GrniiitwOp2MHDmSKVOmhHycPXr0YMeOHeTm5tIztSe7ynaxoWhDo4OkBdsXkFeeR6I9kSt6XgHAvn379FQ7CZKaZunSpRTkF0AJ0AZIQQ+SSAWyAC90quoUphEKIYQQQohI0uAgacyYMQ263ezZsxu8ca1E8/HY7XZeeeUVXnnllQY/ZjB0796dzz//XA2SRvXki61fsPFA44tLvLH6DQDG9xuvF2yYPXs2iqJw+umn60UHROMUFhaqvxzkcJC07dCVh2aR2Ap1PepCPjYhhBBCCBF5GhwkxcfHB3MczZp/8Yarx6s9djYc2NCoxyioKOCzLZ8BcMuAW/TLtVQ7qWrXdBkZGeov2jKxlEP/N3I4SFoLGbdmhHRcQgghhBAiMjU4SJo2bVowx9Gs+QdJPVN7AjR6Jmnqmql4FS9D2g+hR2oPQE21++677wCpancyhgwZQlZWFnuK96gXJB+6wgAsBrpDVm0WQ4YMCdMIhRBCCCFEJJHumg2gBUm7d++mQ/ThlLhKZ2WD7q8oCm+vUVML/WeRZs2ahaIonHHGGZJqdxJMJhOTJ08+eibJC4Y1Bgz/NTD5hcmYTKZwDVEIIYQQQkQQCZIaICUlheTkZBRFYd/ufZQ8VMK+B/YRa4tt0P0NBgNfj/uavwz5C1f0uEK/XBrIBs6YMWP4YNIHJC1OAr9ex1lZWcycObPBa+qEEEIIIYQwKIqihHsQwVRRUUF8fDzl5eXExcU1+XEGDx7MsmXL+O9//8s111xz0uMqLCwkMzMTRVHYvXs37du3P+nHFGo58KVLl/Lplk/xRfv4y6V/oU1sm3APSwghhBBCNAMNjQ1kJqmB/NclBYKWanfmmWdKgBRAJpOJYcOGscywjJe2vcSHGz787TsJIYQQQgjhR4KkBvIPklYVrOJ37/+O62df/5v3e+b7Zxjz0Rh+3PNjvcu1VDvpjRRYGw9s5Nb5t7Jq7yrMRjPX9/ntfSSEEEIIIYQ/CZIayD9IUlBYsH0Bi3YsOuF9vD4vr/70KnNy57CtZJt+eWFhIUuXLgWkql2gfb3ja974We1HdXHXi0mNTg3ziIQQQgghRKSRIKmBtCBp8+bNdEvqBsD+6v0U1xQf9z4Ldyxkd/luEu2J9Qo2aKl2gwYNklS7AOua3FX//cZ+N4ZvIEIIIYQQImJJkNRA2dnZWK1W6urqKN1fSvt4Nbg5Ub+k11e/DsC4fuNwWBz65VoDWUm1C7z+Gf1xmB3EWmMZlTMq3MMRQgghhBARSIKkBjKZTHTtqs5S5Obm0iu1F3D8IGlv5V7mb54P1O+NtHfvXr7//ntAUu2CoU10G3657Rdy78rFarKGezhCCCGEECICSZDUCP7rknqm9gRgw4ENx7zttDXT8CpeBrcfrN8W6qfatWvXLviDboVyknNoG9s23MMQQgghhBARSoKkRvAPkk40k+RTfLz585sA3NL/lnrXaal20kBWCCGEEEKI5kmCpEY4ciYpwZ5AnO3oJlQen4cHznqAIe2HMLbn4ZS6goICli1bBkiqnRBCCCGEEM2VOdwDiCRakLRp0yZOzzydkodKMBgMR93OarJy1+l3cdfpd9W7XEu1O+uss8jKygrJmIUQQgghhBCNIzNJjdCtm1r6u6ioiNLS0mMGSCciDWSFEEIIIYRo/iRIaoSYmBh9Bmjz5s365Yqi6L+/98t7vP3z21S5qurdt6CgQKraCSGEEEIIEQEkSGok/3VJU9dMJec/Odz/v/sBtWDDo4sfZeL8iczZNKfe/WbNmgXA2WefLal2QgghhBBCNGMSJDWSf5AEsK1kG+uK1gHwv+3/Y3f5bhLsCfUKNoA0kBVCCCGEECJSSJDUSD169ADqlwHfUKT2Snpj9RsAjOs7DofFod9nz549UtVOCCGEEEKICCFBUiP5zyT1SFUDpsKqQjYe2Mi8zfMAuGVA/d5I/ql2mZmZIRytEEIIIYQQorEkSGokLUjavn07doOddnHtAHhw4YN4FS9ntzubXm161buPNJAVQgghhBAickiQ1EgZGRnExsbi9XrZvn27HhB9sfUL4OhZpD179vDDDz8AcMUVV4R2sEIIIYQQQohGkyCpkQwGQ72Uu54pPfXrkh3JXNmzfmGGmTNnAjB48GBJtRNCCCGEECICSJDUBP5B0oC2AxjYdiDPjniWHffsqFewAQ43kJVUOyGEEEIIISKDOdwDiERakLRp0yYeeeQRrutz3TFvl5+fzw8//IDBYJBUOyGEEEIIISKEzCQ1wZG9ko7HP9Wubdu2QR+XEEIIIYQQ4uRJkNQE/kGSoijHvZ2WaicNZIUQQgghhIgcEiQ1QefOnTGZTFRWVlJYWHjM2+Tn57N8+XJJtRNCCCGEECLCSJDUBDabjU6dOgHHT7mTVDshhBBCCCEikwRJTdSjRw/g+EGSNJAVQgghhBAiMkmQ1EQnKt6Ql5fHjz/+KKl2QgghhBBCRCAJkproREGSlmo3ZMgQMjIyQjouIYQQQgghxMmRIKmJThQkSaqdEEIIIYQQkUuCpCbq1q0boFaxq6qq0i/fvXs3K1askFQ7IYQQQgghIpQESU2UlJREmzZtANiyZYt+uZZqN3ToUNLT08MyNiGEEEIIIUTTSZB0ErSUu02bNumXSQNZIYQQQgghIpsESSfhyHVJkmonhBBCCCFE5JMg6SQcGSRpqXbnnHOOpNoJIYQQQggRoSRIOglHBklaVTtJtRNCCCGEECJySZB0Enr06AGohRu2b9/OypUrMRqNjBkzJswjE0IIIYQQQjSVBEknoX379tjtdlwuF8899xwgVe2EEEIIIYSIdBIknQSj0UjXrl0BePPNNwEYO3ZsOIckhBBCCCGEOEkSJJ2E2bNns3XrVgC8Xi8ATz31FLNnzw7nsIQQQgghhBAnQYKkJpo9ezZjx46ltra23uX79u1j7NixEigJIYQQQggRoSRIagKv18s999yDoihHXadddu+99+qzS0IIIYQQQojIIUFSEyxdupQ9e/Yc93pFUcjPz2fp0qUhHJUQQgghhBAiECRIaoLCwsKA3k4IIYQQQgjRfEiQ1AQZGRkBvZ0QQgghhBCi+ZAgqQmGDBlCVlYWBoPhmNcbDAbatWvHkCFDQjwyIYQQQgghxMmSIKkJTCYTkydPBjgqUNL+PWnSJEwmU8jHJoQQQgghhDg5EiQ10ZgxY5g5cyaZmZn1Ls/KymLmzJmMGTMmTCMTQgghhBBCnAyDcqw61i1IRUUF8fHxlJeXExcXF/DH93q9LF26lMLCQjIyMhgyZIjMIAkhhBBCCNEMNTQ2MIdwTC2SyWRi2LBh4R6GEEIIIYQQIkAk3U4IIYQQQggh/EiQJIQQQgghhBB+JEgSQgghhBBCCD8SJAkhhBBCCCGEHwmShBBCCCGEEMKPBElCCCGEEEII4UeCJCGEEEIIIYTwI0GSEEIIIYQQQviRIEkIIYQQQggh/EiQJIQQQgghhBB+JEgSQgghhBBCCD8SJAkhhBBCCCGEHwmShBBCCCGEEMKPOdwDCDZFUQCoqKgI80iEEEIIIYQQ4aTFBFqMcDwtPkgqLi4GoF27dmEeiRBCCCGEEKI5qKysJD4+/rjXt/ggKSkpCYC8vLwTvhAn67TTTmPVqlVBe/yWso2KigratWtHfn4+cXFxQdtOS3itQrEN2R/NaxuyP5rXNmR/NK9tyP5oXtuQ/dG8tiH7o+EURWHAgAG0bdv2hLdr8UGS0aguu4qPjw/qm8ZkMgX18VvSNgDi4uJkfzSTbYDsj+a0DZD90Zy2AbI/mtM2QPZHc9oGyP5oTtsA2R8NZbVa9RjheKRwQ4Dceeedso1mpKW8VrI/Wt82QqGlvFayP1rfNkKhpbxWsj9a3zZCoaW8Vg3ZhkH5rVVLEa6iooL4+HjKy8tDEsGLE5P90bzI/mheZH80L7I/mhfZH82L7I/mRfZH4LX4mSSbzcbf/vY3bDZbuIcikP3R3Mj+aF5kfzQvsj+aF9kfzYvsj+ZF9kfgtfiZJCGEEEIIIYRojBY/kySEEEIIIYQQjSFBkhBCCCGEEEL4kSBJCCGEEEIIIfxIkCSEEEIIIYQQfpp9kPT0009z2mmnERsbS5s2bbjsssvYvHlzvdvU1dVx5513kpycTExMDFdccQX79++vd5u8vDwuuugioqKiaNOmDQ8++CAej0e/fsmSJRgMhqN+9u3bF5LnGSlCtT8AnE4nf/nLX+jQoQM2m42OHTsyderUoD/HSBKq/XHjjTce8/PRq1evkDzPSBHKz8cHH3xAv379iIqKIiMjg5tvvpni4uKgP8dIEsr98corr9CjRw8cDgfdunVj+vTpQX9+kSZQ++OPf/wjAwYMwGazccoppxxzW7/++itDhgzBbrfTrl07nn322WA9rYgVqv1RV1fHjTfeSJ8+fTCbzVx22WVBfFaRK1T7Y8mSJYwePZqMjAyio6M55ZRT+OCDD4L51CKX0syNHDlSmTZtmrJ+/Xpl7dq1yoUXXqi0b99eqaqq0m9z2223Ke3atVMWLVqk/PTTT8qZZ56pnHXWWfr1Ho9H6d27tzJixAhlzZo1yhdffKGkpKQojzzyiH6bxYsXK4CyefNmpbCwUP/xer0hfb7NXaj2h6IoyqWXXqqcccYZysKFC5WdO3cqP/zwg/L999+H7LlGglDtj7Kysnqfi/z8fCUpKUn529/+Fsqn2+yFan98//33itFoVCZPnqzs2LFDWbp0qdKrVy/l8ssvD+nzbe5CtT+mTJmixMbGKjNmzFC2b9+u/Pe//1ViYmKUefPmhfT5NneB2B+Koih333238vLLLys33HCD0q9fv6O2U15erqSlpSnXX3+9sn79euW///2v4nA4lNdffz3YTzGihGp/VFVVKbfddpvyxhtvKCNHjlRGjx4d5GcWmUK1P5566inlr3/9q7Js2TJl27ZtyqRJkxSj0ajMnz8/2E8x4jT7IOlIRUVFCqB8++23iqKoB28Wi0X55JNP9Nts2rRJAZTly5criqIoX3zxhWI0GpV9+/bpt3n11VeVuLg4xel0KopyOEgqLS0N3ZNpAYK1P7788kslPj5eKS4uDuGziXzB2h9HmjNnjmIwGJRdu3YF8dlEvmDtj3//+99Kp06d6m3rpZdeUjIzM4P9lCJasPbHoEGDlAceeKDetv70pz8pZ599drCfUkRryv7w97e//e2YB4FTpkxREhMT631/Pfzww0q3bt0C/yRakGDtD3/jx4+XIKmBQrE/NBdeeKFy0003BWTcLUmzT7c7Unl5OQBJSUkArF69GrfbzYgRI/TbdO/enfbt27N8+XIAli9fTp8+fUhLS9NvM3LkSCoqKtiwYUO9xz/llFPIyMjg/PPPZ9myZcF+OhEvWPtj3rx5DBw4kGeffZbMzEy6du3KAw88QG1tbaieWkQK9udD8/bbbzNixAg6dOgQrKfSIgRrfwwaNIj8/Hy++OILFEVh//79zJw5kwsvvDBUTy0iBWt/OJ1O7HZ7vW05HA5WrlyJ2+0O6nOKZE3ZHw2xfPlyhg4ditVq1S8bOXIkmzdvprS0NECjb3mCtT9E04Ryf5SXl+vbEYdFVJDk8/m49957Ofvss+nduzcA+/btw2q1kpCQUO+2aWlp+nqiffv21fsDp12vXQeQkZHBa6+9xqxZs5g1axbt2rVj2LBh/Pzzz0F+VpErmPtjx44dfP/996xfv545c+YwadIkZs6cyR133BHkZxW5grk//O3du5cvv/ySiRMnBuFZtBzB3B9nn302H3zwAVdffTVWq5X09HTi4+N55ZVXgvysIlcw98fIkSN56623WL16NYqi8NNPP/HWW2/hdrs5ePBgkJ9ZZGrq/miIxn6nieDuD9F4odwfH3/8MatWreKmm246mSG3SOZwD6Ax7rzzTtavX8/3338f8Mfu1q0b3bp10/991llnsX37dl588UXee++9gG+vJQjm/vD5fBgMBj744APi4+MBeOGFFxg7dixTpkzB4XAEfJuRLpj7w9+7775LQkKCLL79DcHcHxs3buSee+7hscceY+TIkRQWFvLggw9y22238fbbbwd8ey1BMPfHo48+yr59+zjzzDNRFIW0tDTGjx/Ps88+i9EYUeciQyZU31eiYWR/NC+h2h+LFy/mpptu4s0335RCTMcQMd/ed911F5999hmLFy8mKytLvzw9PR2Xy0VZWVm92+/fv5/09HT9NkdW/9D+rd3mWE4//XS2bdsWoGfQsgR7f2RkZJCZmakHSAA9evRAURT27NkTjKcU0UL1+VAUhalTp3LDDTfUS2UR9QV7fzz99NOcffbZPPjgg/Tt25eRI0cyZcoUpk6dSmFhYRCfWWQK9v5wOBxMnTqVmpoadu3aRV5eHh07diQ2NpbU1NQgPrPIdDL7oyGa+je/tQr2/hCNE6r98e2333LJJZfw4osvMm7cuJMddovU7IMkRVG46667mDNnDt988w3Z2dn1rh8wYAAWi4VFixbpl23evJm8vDwGDRoEqPn769ato6ioSL/NwoULiYuLo2fPnsfd9tq1a8nIyAjwM4psodofZ599Nnv37qWqqkq/zZYtWzAajfW+NFq7UH8+vv32W7Zt28aECROC+KwiV6j2R01NzVEzFCaTSR+DUIX682GxWMjKysJkMjFjxgwuvvhimUnyE4j90RCDBg3iu+++q7cebOHChXTr1o3ExMSTfyItRKj2h2iYUO6PJUuWcNFFF/HMM89wyy23BGT8LVI4qkU0xu23367Ex8crS5YsqVeCuKamRr/NbbfdprRv31755ptvlJ9++kkZNGiQMmjQIP16rYTrBRdcoKxdu1b56quvlNTU1HolXF988UVl7ty5ytatW5V169Yp99xzj2I0GpWvv/46pM+3uQvV/qisrFSysrKUsWPHKhs2bFC+/fZbJScnR5k4cWJIn29zF6r9ofn973+vnHHGGSF5bpEoVPtj2rRpitlsVqZMmaJs375d+f7775WBAwcqp59+ekifb3MXqv2xefNm5b333lO2bNmirFixQrn66quVpKQkZefOnaF8us1eIPaHoijK1q1blTVr1ii33nqr0rVrV2XNmjXKmjVr9Gp2ZWVlSlpamnLDDTco69evV2bMmKFERUVJCfAjhGp/KIqibNiwQVmzZo1yySWXKMOGDdNvIw4L1f745ptvlKioKOWRRx6ptx2pJny0Zh8kAcf8mTZtmn6b2tpa5Y477lASExOVqKgo5fLLL1cKCwvrPc6uXbuUUaNGKQ6HQ0lJSVHuv/9+xe1269c/88wzSufOnRW73a4kJSUpw4YNU7755ptQPc2IEar9oShqacsRI0YoDodDycrKUv70pz/V+7IQod0fZWVlisPhUN54441QPLWIFMr98dJLLyk9e/ZUHA6HkpGRoVx//fXKnj17QvE0I0ao9sfGjRuVU045RXE4HEpcXJwyevRoJTc3N1RPM2IEan+cc845x3wc/6D0l19+UQYPHqzYbDYlMzNT+de//hWiZxk5Qrk/OnTocMzbiMNCtT/Gjx9/zOvPOeec0D3ZCGFQFMnNEEIIIYQQQgiNJEsLIYQQQgghhB8JkoQQQgghhBDCjwRJQgghhBBCCOFHgiQhhBBCCCGE8CNBkhBCCCGEEEL4kSBJCCGEEEIIIfxIkCSEEEIIIYQQfiRIEkIIIYQQQgg/EiQJIYQQQgghhB8JkoQQQkQURVEYMWIEI0eOPOq6KVOmkJCQwJ49e8IwMiGEEC2FBElCCCEiisFgYNq0aaxYsYLXX39dv3znzp089NBD/Oc//yErKyug23S73QF9PCGEEM2bBElCCCEiTrt27Zg8eTIPPPAAO3fuRFEUJkyYwAUXXMCpp57KqFGjiImJIS0tjRtuuIGDBw/q9/3qq68YPHgwCQkJJCcnc/HFF7N9+3b9+l27dmEwGPjoo48455xzsNvtfPDBB+F4mkIIIcLEoCiKEu5BCCGEEE1x2WWXUV5ezpgxY3jyySfZsGEDvXr1YuLEiYwbN47a2loefvhhPB4P33zzDQCzZs3CYDDQt29fqqqqeOyxx9i1axdr167FaDSya9cusrOz6dixI88//zynnnoqdrudjIyMMD9bIYQQoSJBkhBCiIhVVFREr169KCkpYdasWaxfv56lS5eyYMEC/TZ79uyhXbt2bN68ma5dux71GAcPHiQ1NZV169bRu3dvPUiaNGkS99xzTyifjhBCiGZC0u2EEEJErDZt2nDrrbfSo0cPLrvsMn755RcWL15MTEyM/tO9e3cAPaVu69atXHvttXTq1Im4uDg6duwIQF5eXr3HHjhwYEifixBCiObDHO4BCCGEECfDbDZjNqt/zqqqqrjkkkt45plnjrqdli53ySWX0KFDB958803atm2Lz+ejd+/euFyuerePjo4O/uCFEEI0SxIkCSGEaDH69+/PrFmz6Nixox44+SsuLmbz5s28+eabDBkyBIDvv/8+1MMUQgjRzEm6nRBCiBbjzjvvpKSkhGuvvZZVq1axfft2FixYwE033YTX6yUxMZHk5GTeeOMNtm3bxjfffMOf/vSncA9bCCFEMyNBkhBCiBajbdu2LFu2DK/XywUXXECfPn249957SUhIwGg0YjQamTFjBqtXr6Z3797cd999/Pvf/w73sIUQQjQzUt1OCCGEEEIIIfzITJIQQgghhBBC+JEgSQghhBBCCCH8SJAkhBBCCCGEEH4kSBJCCCGEEEIIPxIkCSGEEEIIIYQfCZKEEEIIIYQQwo8ESUIIIYQQQgjhR4IkIYQQQgghhPAjQZIQQgghhBBC+JEgSQghhBBCCCH8SJAkhBBCCCGEEH7+HzY0XMSogIHTAAAAAElFTkSuQmCC", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fit = ExponentialSmoothing(\n", " aust,\n", " seasonal_periods=4,\n", " trend=\"add\",\n", " seasonal=\"mul\",\n", " initialization_method=\"estimated\",\n", ").fit()\n", "simulations = fit.simulate(\n", " 16, anchor=\"2009-01-01\", repetitions=100, error=\"mul\", random_errors=\"bootstrap\"\n", ")\n", "\n", "ax = aust.plot(\n", " figsize=(10, 6),\n", " marker=\"o\",\n", " color=\"black\",\n", " title=\"Forecasts and simulations from Holt-Winters' multiplicative method\",\n", ")\n", "ax.set_ylabel(\"International visitor night in Australia (millions)\")\n", "ax.set_xlabel(\"Year\")\n", "fit.fittedvalues.plot(ax=ax, style=\"--\", color=\"green\")\n", "simulations.plot(ax=ax, style=\"-\", alpha=0.05, color=\"grey\", legend=False)\n", "fit.forecast(8).rename(\"Holt-Winters (add-mul-seasonal)\").plot(\n", " ax=ax, style=\"--\", marker=\"o\", color=\"green\", legend=True\n", ")\n", "plt.show()" ] } ], "metadata": { "anaconda-cloud": {}, "hide_input": false, "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": "3.10.13" }, "latex_envs": { "LaTeX_envs_menu_present": true, "autocomplete": true, "bibliofile": "biblio.bib", "cite_by": "apalike", "current_citInitial": 1, "eqLabelWithNumbers": true, "eqNumInitial": 1, "hotkeys": { "equation": "Ctrl-E", "itemize": "Ctrl-I" }, "labels_anchors": false, "latex_user_defs": false, "report_style_numbering": false, "user_envs_cfg": false }, "toc": { "colors": { "hover_highlight": "#DAA520", "navigate_num": "#000000", "navigate_text": "#333333", "running_highlight": "#FF0000", "selected_highlight": "#FFD700", "sidebar_border": "#EEEEEE", "wrapper_background": "#FFFFFF" }, "moveMenuLeft": true, "nav_menu": { "height": "98px", "width": "252px" }, "navigate_menu": true, "number_sections": false, "sideBar": true, "threshold": 4, "toc_cell": false, "toc_section_display": "block", "toc_window_display": true, "widenNotebook": false } }, "nbformat": 4, "nbformat_minor": 4 }