{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Tutorial for AutoSARIMA Forecasting Model\n", "\n", "This notebook provides an advanced example on how to use the Auto Sarima forecasting model.\n", "\n", "AutoSARIMA runs in 3 settings:\n", "1. Full AutoSARIMA with approximation \n", "2. Full AutoSARIMA without approximation\n", "3. Partial AutoSARIMA (Predefined AR, MA, Seasonal AR, Seasonal MA hyper-parameters)\n", "\n", "Example codes are provided for both cases below." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Prepare dataset" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "100%|██████████| 414/414 [00:00<00:00, 799.18it/s]\n" ] }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "700 points in train split, 48 points in test split.\n" ] } ], "source": [ "import matplotlib.pyplot as plt\n", "import numpy as np\n", "import pandas as pd\n", "from scipy.stats import norm\n", "import logging\n", "\n", "from merlion.utils.time_series import TimeSeries\n", "from merlion.evaluate.forecast import ForecastMetric\n", "from merlion.models.automl.autosarima import AutoSarima, AutoSarimaConfig\n", "from merlion.models.forecast.sarima import Sarima\n", "\n", "from ts_datasets.forecast import M4\n", "\n", "logging.basicConfig(level=logging.INFO)\n", "\n", "time_series, metadata = M4(\"Hourly\")[0]\n", "train_data = TimeSeries.from_pd(time_series[metadata.trainval])\n", "test_data = TimeSeries.from_pd(time_series[~metadata.trainval])\n", "\n", "# Visualize the time series and draw a dotted line to indicate the train/test split\n", "fig = plt.figure(figsize=(10, 6))\n", "ax = fig.add_subplot(111)\n", "ax.plot(time_series)\n", "ax.axvline(metadata[metadata.trainval].index[-1], ls=\"--\", lw=\"2\", c=\"k\")\n", "plt.show()\n", "\n", "# Print the length of training data and test data\n", "print(f\"{len(train_data)} points in train split, \"\n", " f\"{len(test_data)} points in test split.\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Train a full AutoSarima model with approximation (suggested, default)" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "scrolled": true }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "INFO:merlion.models.automl.seasonality:Automatically detect the periodicity is [24]\n", "INFO:merlion.models.automl.autosarima:Seasonal difference order is 1\n", "INFO:merlion.models.automl.autosarima:Difference order is 0\n", "INFO:merlion.models.automl.autosarima:Fitting models using approximations(approx_iter is 1) to speed things up\n", "INFO:merlion.models.automl.autosarima:Best model: SARIMA(2,0,2)(0,1,1)[24] without constant\n" ] } ], "source": [ "# Specify the configuration of AutoSarima with approximation\n", "# By default, approximation is only used if the time series is long enough\n", "#\n", "# p, q, P, Q refer to the AR, MA, seasonal AR, and seasonal MA params, so\n", "# auto_pqPQ=True (default) means select them automatically\n", "#\n", "# d is the difference order, and D is the seasonal difference order, so\n", "# auto_d=True (default) and auto_D=True (default) means select them automatically\n", "#\n", "# auto_seasonality=True (default) means to automatically select the seasonality\n", "config1 = AutoSarimaConfig(auto_pqPQ=True, auto_d=True, auto_D=True, auto_seasonality=True,\n", " approximation=True, maxiter=5)\n", "model1 = AutoSarima(config1)\n", "\n", "# Model training\n", "train_pred, train_err = model1.train(train_data)" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Full AutoSarima with approximation sMAPE is 3.4491\n" ] } ], "source": [ "# Model forecasting\n", "forecast1, stderr1 = model1.forecast(len(test_data))\n", "\n", "# Model evaluation\n", "smape1 = ForecastMetric.sMAPE.value(ground_truth=test_data, predict=forecast1)\n", "print(f\"Full AutoSarima with approximation sMAPE is {smape1:.4f}\")" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Visualize the groud truth, actual forecast and confidence interval \n", "fig, ax = model1.plot_forecast(time_series=test_data, plot_forecast_uncertainty=True)\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Train a full AutoSarima model without approximation (slower)" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "INFO:merlion.models.automl.seasonality:Automatically detect the periodicity is [24]\n", "INFO:merlion.models.automl.autosarima:Seasonal difference order is 1\n", "INFO:merlion.models.automl.autosarima:Difference order is 0\n", "INFO:merlion.models.automl.autosarima:Best model: SARIMA(2,0,3)(1,1,1)[24] without constant\n" ] } ], "source": [ "# Specify the configuration of full AutoSarima without approximation\n", "# Note that the default values of all the auto_* parameters are True\n", "config2 = AutoSarimaConfig(approximation=False, maxiter=5)\n", "model2 = AutoSarima(config2)\n", "\n", "# Model training\n", "train_pred, train_err = model2.train(train_data)" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Full AutoSarima without approximation sMAPE is 3.6991\n" ] } ], "source": [ "# Model forecasting\n", "forecast2, stderr2 = model2.forecast(len(test_data))\n", "\n", "# Model evaluation\n", "smape2 = ForecastMetric.sMAPE.value(ground_truth=test_data, predict=forecast2)\n", "print(f\"Full AutoSarima without approximation sMAPE is {smape2:.4f}\")" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Visualize the groud truth, actual forecast and confidence interval \n", "fig, ax = model2.plot_forecast(time_series=test_data, plot_forecast_uncertainty=True)\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Train a partial autosarima model\n", "\n", "Here, the user has pre-defined the AR, MA, Seasonal AR, and Seasonal MA hyper-parameters." ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "INFO:merlion.models.automl.seasonality:Automatically detect the periodicity is [24]\n", "INFO:merlion.models.automl.autosarima:Seasonal difference order is 1\n", "INFO:merlion.models.automl.autosarima:Difference order is 0\n" ] } ], "source": [ "# Specify the configuration of partial AutoSarima \n", "# We explicitly specify values of p, q, P, Q in the order and seasonal order,\n", "# and we set auto_pqPQ=False.\n", "# Because auto_d=True, auto_D=True, and auto_seasonality=True by default, we\n", "# can specify arbitrary values for them in the order and seasonal order (e.g. \"auto\")\n", "config3 = AutoSarimaConfig(auto_pqPQ=False, order=(15, \"auto\", 5),\n", " seasonal_order=(2, \"auto\", 1, \"auto\"), maxiter=5)\n", "model3 = AutoSarima(config3)\n", "\n", "# Model training\n", "train_pred, train_err = model3.train(\n", " train_data, train_config={\"enforce_stationarity\": True,\"enforce_invertibility\": True})" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Partial AutoSarima without approximation sMAPE is 3.5288\n" ] } ], "source": [ "# Model forecasting\n", "forecast3, stderr3 = model3.forecast(len(test_data))\n", "\n", "# Model evaluation\n", "smape3 = ForecastMetric.sMAPE.value(ground_truth=test_data, predict=forecast3)\n", "print(f\"Partial AutoSarima without approximation sMAPE is {smape3:.4f}\")" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "data": { "image/png": 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2i9qOOIZs4htzJEAWQgghxJiV1A22NkawqgoO6+CFPTlOKwGHhb1tUdYfD9ER0wbt3GLkSYAshBBCiDHJME12NUeJ6+aQVKCwqAoFLhuGafJ2XYg9LRESujHozyOGn+QgCyGEEGJMOtgWoyWapMA1tBvq3DYLLqtKQ0ijMdRFgaJRYJooyviudjGayQyyEEIIIcacuq44h4Nx8pzDMxeoKAq5Tgtum8ru1gTrakM0hRJjMj/Z5XJx3nnndf85fPjwSA8JgHvvvZdIJDIo55IZZCGEEEKMKamKFTHyXFbUYZ7FtVtU8t0WLApsa4rgsqpMynVS6LGNmfrJLpeLt99+e8CP0zQNq3XoQs+f/vSnfPjDH8btdp/zuWQGWQghhBBjRiSZqljhs6sjGpA6rSqFbht2i8LulghrjqUqXiTHaI7yli1buPDCC1m0aBE33XQT7e3tAFx++eV88YtfZNmyZdx3331s3LiRyy67jKVLl/Le976X+vp6AA4cOMB73vMeFi9ezJIlSzhw4AChUIh3v/vdLFmyhIULF/L0008DEA6HWbVqFYsXL2bBggU8/vjj/PSnP6Wuro4rrriCK6644px/H5lBFkIIIcSYkNQNtp2oWOEcxIoV58JuUcl3qSR1k71tMQ60x6gKOCnx2s65qsYX/28XW+u7BmmkKXNLffzgmpl9HhONRjnvvPMAqKqq4vHHH+fWW2/lRz/6ERdddBHf/OY3+fa3v80PfvADABKJBGvXriWZTHLZZZfxxBNPUFhYyOOPP87dd9/N/fffz6233sq//du/sWrVKmKxGIZhYLfbefzxx/H7/bS0tHDhhRdyzTXX8Nxzz1FWVsbq1asB6OjoICcnh3vvvZfnnnuOgoKCc34dJEAWQgw60zSJJA064xoxzaDIY8czBDvIhRDipJMVK2KaSa4z+z5vbBaFApcV3TA51B7jYHuMCTl2ynyOUdds5PQUi46ODjo6OrjooosA+OhHP8qHP/zh7vtvuukmAPbu3cuOHTu46qqrANB1nZKSErq6uqirq2PVqlUAOJ1OAJLJJP/xH//B66+/jqqq1NXV0djYyOzZs/nKV77C1772Na666iouuOCCQf8dJUAWQgyKmGYQTug0hzWaI0mShoGCggocbI9T6LZRmeMg4LTIzm4hxKA72BajOZKkMMtbQFtUhbwTgfKxzgRHgnHK/HYm+B24BziRcKaZ3mzh8XiA1OTJrFmzePXVV3vc39WVeRb8kUceoaWlhXXr1mGz2Zg+fTqxWIzp06ezbt06nnnmGb7xjW9wySWX8PWvf31Qxzy6vrIIIbKGZpgEYxqH2qO8WdvFmqOdbGkM0xpJ4rWpFLhs5Lus5LqsFLishBI6m+pDrKsN0RhKoBljb2e3EGJk1HclOByMk+8aPfN+FlUhz2klz2WlKZTkzdoumkKJkR7WWcnJySEQCPD6668D8Ic//IELL7ww7bjp06fT3NzMunXrgNQM8c6dO/H5fJSXl3enTMTjcSKRCB0dHRQWFmKz2XjllVc4cuQIAHV1dbjdbj784Q9z5513smnTJgC8Xm+vwfZAjZ53khBixEUSOu0xjeawRntMwzRNrKqC26ZS0MesjaIoeO0WvHYLMc1gR3MEq6IwMeCk2GvLmlxBIcToE4xp7GyOjkjFisGgKgoBp5WkbrK1McI0zWRCjn3UrbQ9+OCDfO5znyMSiTBp0iQeeOCBtGPsdjuPPvooX/jCF+jo6EDTNG6//XZmzZrFr371Kz7/+c/zrW99C5vNxh/+8Ac+9KEPccMNN7Bw4UIWLVrEjBkzANi+fTtf/epXUVUVm83GfffdB8AnPvEJrrnmGsrKynjuuefO6fdRTHPoCvT95Cc/4YEHHsA0TW677TbuuOMO2tra+MAHPsDhw4epqqriscceIzc3F9M0+fznP8/f/vY33G43v/nNb1i4cGGf5583bx7PPPPMOY2xubmZwsLCczrHeCOv2cCMlderK66zvi4EgMuq4LKq5/QBrhkmnXEdwzQp89sp9znwOVLLi2PlNRsu8noNjLxeA5etr1kkqbP+eAinVc2qL9rtwXZyA7kDfpxumLTFNCr8dqbluzIG/K2trUyfPn0whplVhroEHKRyoPPz83vcds0117B+/fq0Y4fs3bR9+3YeeOAB3nrrLbZs2cJf/vIX9u/fzz333MO73vUu9u3bx7ve9S7uueceAP7+97+zb98+9u3bx/33389nPvOZoRqaEGKAErrBtsYwLqtCvsuK23buecTWE3l4eS4rzaEkbx3vYkNdF62R5JgsrC+EGFyGabIjyypWnKtU62orxzsTbG+MjNmScKPBkL2jdu3axZIlS3C73VitVi6++GKefPJJVq9ezc033wzAzTffzFNPPQXA6tWr+djHPoaiKCxdupRgMNhdG08IMXJM02RPS5SkkWqnOthURSHHaaXQbSOpm2xpCPNmfYydTWFawklimlwghBDpgjGdroSOd4xVyFEUhQK3jfaYzqb6MNGkfAaOhCGby66pqeHrX/86ra2tuFwu/va3v7F48WIaGxspLS0FoKSkhMbGRgCOHz9OZWVl9+MrKio4fvx497En3X///dx///1Aasmnubn5nMZ5spC16D95zQZmtL9ex7uSHAgmKXBbaI8N/fNZADMW4nAj7NFSM8lum0qhy0KO04LHqmAZI92oBstof48NN3m9Bi4bX7MdLXHimkF7Ivtmjzs7B2ejWHPC4KW2dmblO/DaU7+naZokk8lRl6N8JrquD+n5TdNE1/V+x41DFiDPnDmTr3zlK1xxxRV4PB7mz5+PxdLzW56iKAP+C/7Upz7Fpz71KSCVgzwYOVHZmFeV7eQ1G5jR+noFYxqtXSEml1iHPSg9NX8voRt0JQw64iZKMpXmUeSx4XNYhmRWezQare+xkSKv18Bl02sWTujoXV2U52ZvSbezyUFOOwcQTRocSujMC3jI99gIBoN0dXWRm5s75oLkocpBNk2T9vZ27HY7gUCgf2MZkpGc8IlPfIJPfOITAHzta1+joqKC4uJi6uvrKS0tpb6+nqKiIgDKy8s5duxY92Nra2spLy8fyuEJIfoQ01IdqXx2y5AEx7FYjOaWZhobm2hubqKpqZmmxkbag+1UVVUxadIkpk2dRkVlJXaLBbsrNXtimCahuE5zRANMnBaVYq9tVBbbF0KcnfquBLZxspLksqlYVNjcEGZmkYtin4/29nZaWlpGemiDStf1tInUwWSxWPD5fP0+fkgD5KamJoqKijh69ChPPvkk69at49ChQzz88MPcddddPPzww91dU6699lp++tOf8sEPfpA333yTnJyctPQKIcTwMEyT3c0RwMRpPfsPLN0waGlpobmpiabmJpoa3/lvOBKhsLCAosIiikuKmTFjBhdeeCE5OTkcOLCfo0eP8eijj9LS0sKkyZOZNm0q06ZNo7JyAh67Bc+J50jqJrUdCWo7E8wqdFHosQ/KayCEyE4J3eBYZ4KAY/ysHtktKnkuhZ1NUaK5Dibn5oy52ePm5ua0ChMjaUgD5Pe97320trZis9n42c9+RiAQ4K677uL9738/Dz74IBMnTuSxxx4D4KqrruJvf/sbU6dOxe1289BDDw3l0IQQfTjUHqMtplHgOvvly+07dvDYY39EQaGouJjioiJKy8qYP38+RcXFBAKBXmuWquo0zj/vfABC4TAHDhxg3759/PHRP9LS0kLVpElMmzaNadOmMWHCBHJdVhK6weaGCBNyNKbkubCOk9klIcab5nASE8bdXgSLqlDgtnI4GCemmcwokM+5oTSkAfJrr72Wdlt+fj4vvvhi2u2KovCzn/1sKIcjhOiHlnCCQ+1xCtxn9/EQCoX405NPcvDAAT784Y9QfaKw+9nyejzMmzuXeXPnAhCORDhwYD/79u3nsT+mAubF553HBz/wAYrcCvWhJG1RnZoid3ddZSHE2GCYJkeCcfz28ZlOpSoKhW4bTeEkcc1gdpEbxxgpcZdtpJOeEKJbJKmzvTlKwGkZcEcqE5MNGzby5JN/YtGixXz1a1/D6XAM+hg9bjdz58xl7pxUwBwKh/n+97/P7j17qJ4xgzynlUhS5+3jIabnOyn3j76OVEKIzIIxnZhm4LVn7+a84ZDvshKMa2yoCzGvxINnjJW6ywbytUMIAaQ62+1ojGBXFeyWgX00BDs6uP/+B3j22We57bbbeN8NNwxJcJyJ1+Ph6quvZvXq1d0NRtw2C7lOC3taomxtjEgtZSHGiKMdcVwyYwpAwGFFAd6uC9EW1UZ6OGOOvMuEEAAcaIsSShoDKrpvYvLGmjXcc889VFRU8G//9mUmVU0awlFmtnDhQlRFYePGjd23WVSFQo+NzrjGW7VdtIQTwz4uIcTgCSd0WiNJmS09hcduwWNV2VQXoq4rPtLDGVMkxUIIQX1XgmMdCQoHkHfc3NLMI488QjwW5/bbb6e8rGwIR9g3VVFYdd11/P5//5f58+b1qKWZ4zixga8xwsQcnUm5TtnYIsQoNJ5Kuw2Ew6qSp6YqXEQSBpPznANOkRPpJEAWYpwLJXR2NUfIc1n7latrmCavvPIyzz37HJdfcQWXXHJJVnwYT582jeKSYl5//XVWrlzZ4z67RaXQpVDbmaAtqjG7yD3m2tMKMZaNx9JuA2FRFQrdVo52xokkDWYWurANMFVO9CSvnhDjWFI32NoQxm1T+zWrWldfzw9/8AO2bdvOF774Rd516aVZERyfdO21q3j2ueeIxdJ7YitKqgOfYZi8VdvF8c445omcZSFEdhuvpd0GQlEUClw22mM6m+rDRJJD27p5rJMAWYhxyjRN9rRGSRr0q13ztu3buPcnP2HZ8uX867/eTlEWtZ09qaK8nJkzq3nhhRd6PcZjt5DrtLK7Jcrulii6IUGyENlspEq7mZi0xTQOBWOYjJ7PiVynhaRusv54iI6YbN47W5JiIcQ4dbwzQWNXkkJP/8olPfvsc3zkox9hTs2cIR7Zubn66mv47j33cMGFFxLIycl4jEVVKHBZaQgliSRTtUSdsjNeiKw01KXdOuI6x7sS1HXGOd6ZpLYrTl1nkuNdqYYcAHOL3dy+pJRK/+jo1OlzWIhpBuuPh6gpdlPsHR3jziYSIAsxDumGycFgnFxX/z4CamtrCQaDzJ5dM8QjO3d5ubksXbaUZ/7+dz74wQ/2etzJlIvOhMb64yHmlrjxO+QjUYhsM5il3bY0hNnWFKGuK8HxzgTHuxKEEu+UgVSBYq+Ncp+dmuIAZV4HmmnwyNYWPvOXA3xgdgHvrynAYcn+VA+nVcWiKGxrihBJGlQFHFITfgDkaiDEONQWTaLpBtZ+bnh5Y80ali9fllX5xn254op38/++9S0uufRSiouK+jzWb7cSTZ6YaSlyUyQzLUJkjZOl3Qrd5z57/PrRLr79ai0AhW4r5X47Kyf6KfPbKfPZqfA7KPbaMlbKuHRSDr9c38jvt7XwyuEObl9SyvwSzzmPaajZLKnVsoNtMSJJQ9pTD4AEyEKMQ4eD8X5XcYjF42zcsIGvfvWrQzyqweNxu7nssst4evVqbrvttjMe7zqxSXFLY4QpCZ2qXCmTJEQ2GKzSbvtao/z3G8epLnDyX5dNHPCMdK7Tyl0XlHPZlBx+9mYDd71wlMsm5fDJRUUEnNkdSqlKqiZ8cyRJtEFnTpFH2lP3g7xCQowznXGNzrje75zbTZs2MnnKFAKBwNAObJBddPHFHDl6lIOHDvXreJslVSbpUDDOjqYISV267wkxkk6WdvOdY0nGlmiSb7xSS47Dwt0rK88pXWNxqZdfXD2FD9YU8MrhDm57+gDP7G/HGAWb+PKcViIJg13NEang0w8SIAsxztR2JAaUP/fG62+wYvnyfh9vYnI4GOep3W3856u1/G5LM8ER2Eltt9l473uvYvVTT/V7B7qqKBS6bbRGNCmTJMQIG4zSbjHN4Jsv1xJO6nzz0kpyB2G212lV+Pj8Qn723slMyHHw43UN/NtzRzgSzP5OdgGnldaIzvFO6Sx6Jtm9LiCEGFQxzaAhlCB/AJvzOjo7mTV7dp/HNYSSbGoIsbkhwpaGMMFYKrAscFt57WgXj+1o4V2TA9wwM48JOY5z/j36a8mSpbz00sts3759QNU38lxWQgmd9cdDzCn29HszoxBicAxGaTcDkx+sqWNfW4xvrKxgcsA5iCOEiQEH33v3RJ7bH+RXG5v4l78e5MbZBXywpmBQn2ew5bks7G2NkuuyStvuPsinvhDjSGMoiaoo/d7J/Pobb2TcnNcW09jSEGZzQ4TN9SEaw6kZ4jynlQUlHuaf+FPstVHbmeDPu1p5/mCQZ/YHOb/cyw0z85hX4kZhaPN8VUVh1bXXsvrpp5k1azYWtf8XW6/dQlwz2FgforrARbl/+AJ7Ica7wSjt9r9bWnjtaBefXFjE0grfII7uHSoK75may9IKHw9saOLR7S3843AHn5ztZnkgMOSfcWfDoiq4rCo7myIsLPNK85VeSIAsxDihGyZHOuL4+1m5IhaLsWnjxu7NeYeDcf6+v53N9WGOdKSW57w2lTnFbm6Y6WVBqZvKHHvaBaHCb+f2JaX807xC/rK3nf/b085dLxxlap6TG2blcdEE/5Duqp5dM5sXXnyRN99cx/Jl/U8VAXBYVfJUhV3NUSJJg8m5TrmYCDEMzrW028uHO/jDthYun5LD+2blDeLIMgs4rXx5RRmXT8nhvjfr+cVbDTx+IM6Hago4v8KbdYGyx26hJZLkSDDG5DzXSA8nK0mALMQ40RZNkhxAabcNG9/ZnNccSfKV548Q1QxqitxcOimHBaUepuQ5sfRzNjrgtPLRuYXcNLuAlw4F+dPONv779Tp+7W7iuuo83jMtgLcfHf0GSkHhulWr+NWDD7Jo0WIc9oGVcbOoqc17xzrixE78/lJLVIihc66l3Xa3RPnhmjpqilz865LSYQ1O55d4+PnVU3hm2zGeOBjn7ldqmZzr4EM1BayY6EPNokA5z2XlUHucfLeNnCyvxDES5BURYpw4HIwPKABd88YbXHnVVSQNk/98tZa4bvDTqyadcw6xw6Jw5dRc3j01wNu1IZ7c1cavNjbx+63NXDk1l1Uz8xjsSsRVVVVUVVXxj3+8whWXXzHgxyuKQoHbRlM4SWM4SYnUShZiyJxLabemcJJvvlJLvtvKv19UMSgl4gbKYVG4qMrHe+dW8uLBDh7b0cJ/vnacii12PliTz8qqnKyoRawqCj6HhR1NEc4r92KzSN2GU8mrIcQ4cLK0m8vWv3/yx2qP0RXqYtasWfxqYyO7W2J8YVnZoG6wU1FYUuHju5dP5L6rqlhS4eOp3W18/M/7+dHaeh7d3sKhYKzfFSjO5JprruGlF18iFA6f9TkCDiu7W6JEk1ICToihcC6l3aKawTdeOUZcM/jmygkjXp/Yqiq8e2qA+6+dwl0XlGNTFb6/pp5PPr2fv+5rJ6GPfKk1p1UloZscbI+N9FCyjgTIQowDAy7t9sYali1bxj+OdLJ6dzvXV+dx0UT/kI1vWp6Luy4o5zfXT+WDNQUkdJPfbG7mM385xD89uZ/73qxnXW0XMe3sA9PioiLmL1jAc889e9bnsFkULKSaDkgdUSEGX0vk7Eq7GZj89+vHOdQe52sXlTMxkD2bai2KwsoqPz+/ehLfWFlBjsPKfW82cMtT+3lyV+s5fa4NhlynhaMdCVrCUvrtVJJiIcQYd7K0W14/S5Wd3Jz30c9+gX9fU8/sQhefWNh3u+bBUuSxcfP8QtqrrOh2L2/XhXirNsSLhzr4674gNhXmFXs4r9zHkgovJd6B5SheddVVfOc//5OLLrqYgvz8sxpjjtNKcyRJQyhJqU9SLYQYLIZpcrj97Eq7Pby5mbW1IT69uJjFZd4hGN25U1BYWpH67NrUEOHRbS3cv6GJR7e3csPMPK6ZkYenn6t8gzouRSHXaWFnc5QlDqt02TtBAmQhxrjmcKq0W39bJ2/YuJEJkybzky0hXDaVr15UPiL5cgVuG1dOzeXKqbkkdJNtTWHePp4KmH+xvoFfrIdKv53zy71cMNHPzIIz78T2+3xcdPFF/PWvf+Xmj33srMd2MtUi4LT2O21FCNG3sy3t9sLBIH/c3spV0wKsqs4dotENHgWFhSUeFpZ42N6cCpR/s7mZZ/a38/8unUilf/i/eNstKpGkwd7WqGxEPkE+2YUYw3Qj1dWuv6XdAN5443WO+GdQ15ngaxdWUOA6+zqkg8VuUVhU6uXTi0v49XVT+dWqKfzz4mLy3VZW727jzmcO8/O3G4j3I6fv0ksuZc+e3dTW1p71eGwWBZsKeyXVQohBc7wzjnOAs5fbmyP8eF0980vcfPa8kqwrp3YmNYVuvn3pBL5/xUSiSZM7nznE9qbIiIwl4LTSFE6tjgkJkIUY09qiSRK60e8Z4KPHjrG/oZ2teiG3LChibrF7iEd4dip8dq6vzuOeyyby2AdmcF11Lk/vaeeOvx/iaEff7V6dTieXXXYZzz///DmNwe+w0hJOUh+SvD0hzpVumLRGNdwDWJFpCCX5f6/UUuyx8bULK7KiMsTZqily8+MrJ5HjsHDXC0d45XDniIwj12llV0uESEIfkefPJhIgCzGGDbS025PPvsxR3zSWVfq5cfbQF9cfDG6ryqcXl/DNlRW0RjVu/9shnt0f7LP6xZIlS9m5axehUOicnjvXZWVPS4xIUi4mQpyLUELHNMx+p4IB/GhtHbph8o1LJgxolSxblXpt/PA9k5iR7+Ke14/z2I6WQavi019WVcGhquxuiWKM89UxCZCFGKMGWtqtPhjmhTXrKalewBdXlI26pcolFT5+fvUkqgtc/GhdPd99vY5QL4Grx+2mpqaGt95+65ye06qeSLVokVQLIc5FMKYPKDg+0B5jS2OED84pGJGc3aGS47DwncsmcuFEH7/e1MzP3mxAG+bPFp/DQntM41jH+F4dkwBZiDFqIKXdNNPk7t8/i5Fbzt3vmTkkHe2GQ4HLxncum8DN8wt49XAnn/vrQXa3RDMeu3z5MtauXXfOMzR+h5XWiC6pFkKcg6ZwYkDpFU/vacdhSdUZHmscFoWvXljOjbPy+Mu+IN96pXbYS8HlOa3sb4vRFR+/q2MSIAsxBp0s7ebtZ7H932xq4uj2DXzwykuYFHAO8eiGlkVR+FBNId97dxW6AV989jCP7WjBOC0Qnjp1KrqucejQ4XN+zlyXhd0tUUm1EOIsxDWDrrje7/JiwZjGy4eCvGtyzlk1FBkNVBQ+ubCYz51fwtvHQ3zpuSO0xbRhe36LquCxKexoiqAZ43N1TAJkIcaggZR2e/1oF0+s2UmRXeOj7zpvGEY3PGYXuvj51ZNZVpFaqvz3F4/RfsoFRkFh+bLlrFmz5pyf62Te3h5JtRBiwEIJnYFkdD2zP0hCh2tnjI59Eufi6um53L2ygmMd8X5tQh5MbpuFqGZweJx22ZMAWYgx5mRpt/7MrNR2JvjBmuMUtO7iA1deMqAcwNHAZ7fw9YvLuX1JCdubwnzmLwdZX//Oxrzzlyxh69YtxGLnfgHwOSy0RTTquiTVQoiBaA5rONT+hSOaafKXve3ML3FTlUXd8obS0gof37tiIgnd5AvPHGZr4/CVgct1WjgcjNMwDlPIJEAWYoxpj2okdAPbGfKPY5rBt1+txWImKeg8xIply4ZphMNLQeG903K598rJ5Dgs/PuLx/jVxkaShonf52P6tOms37BhUJ4r12Vlb2tUSiQJ0U+madIcSfY7/3jt0S5aIhqrqsf+7PGppue7+PF7JhFwWfnai0d46XDHsDyvqijkuaxsb4zQNM6CZAmQhRhjDgVjZ9xkZ2Jy75v1HA7GucbXyOzq6QRycoZphCOjKuDgJ1dO5r3TAjyxs40vP3eY9pjG8hUrWLPmjUF5DquqYJcSSUL0WyRpkDQMLP2sYbx6TxslXivnl2dnO+mhVOK18aP3VFFd4OK/X6/j0e3DUwbOqirkOq1sa4zQHB4/QbIEyEKMIV1xvV+l3f5xuIuXDnXyT/MKaNi5kRUXXDBMIxxZTqvC7UtK+eoF5Rxqj3P73w5hL6oiFApxrPbYoDzHyRJJdZ3j50IixNnqiGv9Lim5vy3G9qYo18zIwzJM6WCGaRJPZM+/ZZ/dwnfeNZGVVX5+s7mZn6xrGJZNdDaLQsBpZWtjhNbw+Oi0Zx3pAQghBk9tZ/yMpd1MTB7f0cqEHDsr/BEeCoeprq4ephFmh4ur/JT5bXzz5Vq+9PwRLpsxnzVr1vKB91cOyvnznFb2tUbJdVnxjNFd9kIMhqaQhsva/9ljh0Xh3VMC5/y8hmkSCoXo7Oigo7OTzs4OOoKp/+/oCNLZ2UVHRwddXV0AzJ41i0vf9S4mT5404jXi7RaFf7ugjBKvjUe3t9IQSvD1iyqGvKKHzaKQ47CwuTHC/BI3+W7bkD7fSJMAWYgxIq4Z1HclyHP1/c96R3OUA+0xbl9Swpo1f2fZ8uVjbnNef0zLc/GTq6r45iu1/KW2nJLNf2TVqlU4Hee+8ceiKtgtqVSLBaWecfn6CnEmmmHSHtPIc545sAvGNF451MG7pwT6Xb7ydLph8Ic//J49e/YS6urC6XTi8/vJyckhJyf135KSEmZMn44/Jwe/309Ojh9dN3jzzTf53e9+h9fr5dJLL2HevPlY+rmxcCioKHx8fhHlPjs/WVfPnc8c5luXVlLmHdqmKXaLSo4DtjSEWVDqJfcM15vRbOz+ZkKMM03hJEo/Srut3t2G16ayotTBdzZv5utf//dhGmH2yXfZ+O/Lq/jhWhuvbi/gG4+8xLf+6T3Y+9lgpS8+h4WWSJJDbTEm5zlRJEgWooeuuI5pmv36t/HM/iBJA645h9JuTz31FB3BDu644w5ycvzYrP2bAbVZ4eKLLuLCCy9k69atvPTSi6x+ajUrL1nJsqXLcDpHrnb85VMClHjtfOsfx/j83w9z98UV1BS5h/Q57RYVnx0214dYUOYl4ByboaTkIAsxBpws7eY/w8xKcyTJG0e6ePfUANs3b2T6tOnk+P3DNMrs5LSmulZdtvICNr+9jrteOEJwkAry57msHA7G2dsqm/aEOF17NIm1H5vzNCNV2m1BiYeJZ1na7fU33mDHju3ccuutFOTn9zs4PpWqKMyfN48v3PkFbrnlFg4ePMQ3vvENnnrqKYLB4FmNazDMKXbzoysn4ber3PXCEV44OPQVLhxWFa/dwqb6EB3D2MBkOEmALMQYEIxpJHXzjKXd/rq3HRO4ZkYur7/+OisuWDE8A8xyCgp3XLuCSY4oe4/W8a9/P8TB4LnXRlYVhQK3ldrOBLubo+jjtCOVEJk0hrV+lXdbc+xkabfcs3qevfv28de//pV//udP43EPzuxqVVUVn7j1Vr705S+j6Tr/9V//xcO//e2gbfYdqAqfnR+9ZxKzC918f00dD29uTuseOtgcVhWPzcLG+jCd8bEXJEuALMQY0BzWzrg5L6aZ/HVfkKUVXhLtjUSjUWbMGNrNeZphEtOMIX2OwWK1WHjPygu4xlWLbsAXnjnMutqucz6voigUum00hpLjum2rEKeKJg1iSQO75cxhyOrdbZR6bZxfMfDSbk3NzTz00EN8/OMfp7io6GyG2qeC/HxufN/7uPsb36C8rIxf/vJ+7r3vXo4eHf5A2e+w8O13TeDdUwM8sr2F/3rtODFtaD9vnFYVj01lU32YrvjYqv8uAbIQo1x/C+3/43AHXXGdVdV5bNywgcXnLR70zWOaYdIV12mJJGmJaN3BcXNE6843zGbLli3j0I5N/ODyCir8Dr7xSi2P72gdlFqj+W4rrVGNbY1hEvro+NIgxFAJ9bOZzr62KDuao1wzIxd1gNUjItEo9//yl7z3ve9lxvTpZzPMfnO7XFx22WV84+67Wbp0Kf/39NPs3r17SJ8zE5uqcMfSEj6xoIjXjnRx1wupeu9DyWlVcVpUNtWH+v33OhpIgCzEKNefQvsmJqv3tFEVcDCnyMX6DRtYtGjxOT93poC4wGNjbrGHZZU+lk/wc36Fj8VlntSmtahGMKZlbT5uUWEhZWWl1B3YxfevmMiFE3w8uKmJH6ypJ6EPQpDsstIZ19lSHyY+SmbWhRgKzeEEjn6Ud1u9ux2nVeGKAZZ20w2DX//618yonsEFK/qXSmaaJkndJJzQCcY0WiIarRGN1miSlkiyX6s/VquV8887n2tXXctvHn6YI0ePDmjcg0FB4abZ+fzHxRUcbI/z+b8f4nAwPqTP6bKp2C0KG+tChMdIkCwBshCjXDB25kL7O5qiHGyPs6o6l0OHDuFyuSgrLR3wc50MiFMXjMwB8YwCFwUeW49mJTlOK3NLPCyt8FHktdEe1WiLaVmZk7t82XLWvLEGp1XlqxeV85E5BbxwsIOvDtLmvVynlZhusLE+TCQ5Ni4kQgyEYZq0RDRc1r5DkGBM45XDHVw2OWfApd2efPJPANxww/vS7kvoxjtBcDQVALdGNVqjGgnDwOewUJljp6bYzYIyD0sqfMwocNGZ0An2M9e2srKSj3zkw/zyl/9DY1PTgMY+WFZU+vjBFRPRdLjzmUOsrwsN6fO5bRZsqsKm+jCRMRAkS4AsxCjXHNZwn+FC89TuNnx2lUuqcti4cQOLFi0a8PPENIOOuE6Bx8acor4D4t547BaqC9wsrfQzwW+nI67TGk1tMMwW8+bPo7a2lpbWVlQU/mleIXddUM7e1ijfe6NuUNItchxWDMNkU114zMy2CNFf4YSBZnLG9tJ/39+OZsC1Ayzt9trrr7Fn9x5uvfXWtFrFbVGNhG6S47QwMeBkTpGbhaVellX6WDkph2WVfmqKPUzKdVHksRFwWnHbLJT7HSwp95HrtNIcSfZrBWhOzRyuueYafv6zn41YlYtp+al676U+O//x0jFW724f0ufz2C1YFNjSGMn6lLozkQBZiFHsZKF9Zx9LlY3hJGuOdvGeabnYVNi0aTMLFy4c0PPoJ2aO55d4BhQQ98ZlU5mc52L5BB/T8pxENIOWaP8uOkPNZrWx+LzzWLd2bfdtK6v8fHJhCRvqwzy7f3BKKPkcFlQFNtSFxtzmFiH60hHTUM7wRVMzTP6yJ8jCUg8Tcvpf2m33nj387W9/51P//M+4Xa4e93XFddw2lfPKvcwqSpWMK/TYyHFacVrVM+7JcNlU5hR7mFfsJq6btEXPnC62bOkyVlywgp/9/OeEI5F+/x6DqdBt4wfvruL8Ci+/WN/Ay4eHtgycx24hmtTpHOWfaxIgCzGKdcV1MOmz0P5fTpR2u3p6Lvv27iUvN5eiwsIBPU9bVGN6gWvQuybZLSoVOQ6WV/qYXehGM6ElkiSSNEY0T3n58uWse/NNdOOdgP2a6gBzilzcv76RpnByUJ7HY7fgsKisrwsNWu1lIbJdYziJx9Z3ysTrR7tojWqsmtH/0m6NTU08/PDD3HrrLWmfcTHNQDdNaord2PpROaMvBR47Syq8VPjttEa0M6ZKXX755VRXV/PLX/4P8UTinJ77bLmsKv9xcQXVBU5+9mYDzZHB+QzrjU1VBu1zcqRIgCzEKNYWTdLXZ31MM3hmXzsrKn0Ue2ypzXmLB5Ze0RbVKPHZqfAPXQtTi6pQ7E1ddOaVePDYVIIxnZaIRmd8+HOVy0pLCQQC7Nq5s/s2FYU7l5ehmyb3rqsflFQLSM1KeW0qG+tCtI7yC4oQZ5LUDTriZy5LuXp3K6VeG+f1s7RbOBLhl7/8H66++mqmTZ122nOmVsDmlXhwnyEw7y+bRWVqvovzKryoikJLNNnr55SCwvXXX09+fgEPPfRQjy/ew8mqKHx5RTmaafLDNfVDWifZa7dQ35XIyn0m/SUBshCjWGOo7/JuLx/uoCthsKo6j6SWZNvWrSxc0P/0inBCx2FVmZ4/PK2SVUUh321jZr6DCyb6mV/qodhrJ5Q0aDmxsW+4SqQtX76MN9as6XFbmdfOLQuKWF8f5rlBSrWAVMF9v8PC5sYwjaGRmWESYjh0JQwwlT4/T/a2RtnVEmNVdV6/Srtpus5Dv/41s2fXsGL58h73GaZJW0yjpthNzhC0RPY7rCwu9zItz0UwrvXaMENVFD7ykY9gGDqPPPLIoH3BHqhyn53bFhWzqSHM00OYj2xRFTTDpGMUp1lIgCzEKBVNGsQ0s9dC+yYmq3e3MyngoKbYxa5duygtKyMQCPTr/AndIKobzB2EJcmzYVUV8lxWpuW7uGCCj/PKvEwKOE+kYaRKMEWSQ1dbeeGChRw8cIBgR89A+NrqXGqKXPxyfeOgLlPaLSq5TivbmyKSkyzGrLZIkjNtX3j6RGm3y6bk9Oucf/rTn1AtKtddd13afa0Rjal5Toq9Q7cCpioKlTkOllT48DmsNIeTGTceWy0Wbr31EzQ0NLB69dNDNp4zuWpagPPKvPx6UyNHO4au/JvDoo7qL/wSIAsxSnUl9D7nVrY2RDgcjLOqOg8FhQ3rN7C4n9UrDNOkPaYzp8iNZ4DllYaCoij4HBYmBhwsrfCxtNLLrEIXTquF1phGSyQ56DPLTqeTBQsWsG7duh63qyh8YXkZmmnyk0FMtYDUlwKbqtAcHr0XFSF6Y5omTeFkn2kO7TGNV450cPmUAN5+pEP849VX2bdvH7fcckt6xYpYKj2sKtD/TX7nwm2zMLfYzZxiNzHdpDWqpdVOdjocfPrTn2b7tm289PJLwzKu0yko3Lm8FIfVwn+/UTdk3T09dpXGUP/qR2cjCZCFGKWaQ30X2l+9pw2fw8LKqhxi8Tg7d+1i3vx5/Tp3W1RjcsBBoWfoZl3OhdtmocRnZ36phwsm+KkpchNJGr0ub56tZcuXs27t2rQNg2VeO7cuKGJ9XZjnDwzujnCv3cLxrmTWNlMR4mxFkwYx3cDWR/7x3/b1v7Tbvv37eOaZZ/jnf/4ULmfPihWdcQ2vXWVGgWtY0sNOUhSFIq+dhcVOpuY5CSV0Wk4rZen1ePjsv/wLL7/8Cm+9/dawje1UeU4rn19Syv62GH/Y1jIkz6EqCoZp0jFKNyBLgCzEKGSYJi3R3gvtN4SSrD0W4qppAZxWhe3btzNpUhU+r++M5+6Ia+S6rEzKcw72sIeE3aJS5LVzXrkPj91CS3TwgssJEypxOp3s3bs37b5TUy1aBjHVwqoqJHVD0izEmJMq+9V7sJo0TP66J8jiUg+V/dgU/Owzz3L99ddRWNCzYkU0aQAKNUUerGeotTxUbGoq7WJZpY/pJ0tZnrLSlZeby2c/+xn+/Oen2HHKZuDhdMEEH5dNyuHRbS3sbokOyXO4rCp1XaNzRUwCZCFGoVBCx+ij0P5f9rahAO+dliqRtGHDBhYuPHN6RUxLXVhmFrrPWBM027hsKvNKPFTlOGiJaoNSU1lBYdny5aw9bbMenKhqsayMpGHyk3UNg5pqMRZKJAlxuuZIElcfs8evH+2kLaaxqvrMs8ctra3U1tayYMGCHrcndINIMlWxwnmGBkrDwXailOWySh/VhS5imklLNBUol5aUctttt/G73/2OQ4cPjcj4Pn1+MfluK9974/iJz//B5bapNA9BCtxwGPl3jxBiwDpiOr3Fr6nSbkFWTPBR5LERjkTYt28f8+bN7fOcumHSldCZW+zOigvL2VAVhcl5LhaWeolqqXJS52rx4sXs3LWLUCi9TWu5L5Vq8XZdiBcGMdXCa7dQH+q9bJQQo41upHJy+2owtHp3G+U+G4vKPWc837q1a1l83nnYrLYezxGM6cwpduNzjPzeiVNZVYUyXypQnlngJq6ZtESSlFdO5KMf/Sj33/8ADQ0Nwz4ur83Cl5aXcbwrya82Ng76+RVFARPao6MvzWJ0XgWFGOcaQole20u/dKiDUNJg1czULMzWrVuYMX16Wo7eqcwTpZBm5LuGpBTScMtzWTm/wofPbqE5cm6BpsftpqamptdcwZOpFv8ziKkWFlVB041R34lKiJNCCR3TMHtdmdrTEmV3S4xrZpy5tJtuGKx7802Wn1LSrfszrMBFQZbunYDUv+1Sn52llT5mF7lJGiYlk2Zw9arr+Pkvfk57cGhbQWcyr8TDDdV5/GVvkPV16RMB58ptG51pFkMaIP/oRz9i9uzZ1NTU8KEPfYhYLMahQ4dYsmQJU6dO5QMf+ACJE11l4vE4H/jAB5g6dSpLlizh8OHDQzk0IUatxIn81EyzvKnSbm1MzXMyuzAVEG9Yf+bmIO0xnVKfnfIhbAYy3JxWlbklHqbmuWiLaue0fLh8+TLWrl2XMY3i1FSLe98cvFQLh0WlYRSXSBLiVMGY3mfa1suHO7Bb4PIpgTOea9fOnQQCAcpKS7tva4vqlA9xQ6PBdLI50tJKHzVFLuYvXMzCCy7lpz/7BaFweNjHc/OCIibm2PnhmvpBr13stlloj2oncsNHjyELkI8fP869997L+vXr2b59O7qu8+ijj/KVr3yFO++8k/3795Obm8uDDz4IwIMPPkhubi779+/nzjvv5Ctf+cpQDU2IUa2vzVubGyIc6UiwakYuCgqdXV0cOXqU2bNren1MOKHjtqlMzx/e3d7DQVUUJgYcLCr3ktDNs27nPHXqVAxdZ+/efRnvP5lq8dbxEC8eHJxUC7dNpSk8ekskCXGqpnCiz6ZG6+vC1BSlumieyRtr1rBixTuzx8GYRsBlYdoo/AxTT1S9WFLh5dZrL2PSzLn8/H/uJxYfuvrEmTgsqS57nXGNn745uOUrIZVq0R4bXfsqhnQGWdM0otEomqYRiUQoLS3lpZde4sYbbwTg5ptv5qmnngJg9erV3HzzzQDceOONvPjii0PWAECI0awlomHvZaPL6t1t5DgsXFSVKrC/adMmampqcNgzz6okdIOYblJT5B6x3d7DIeC0cl65l4AzVcR/oCkXCgpXXnUVT/7pT722ib22OpfZhS7+5+1GWqLnfiGwqAq6wagtkSTESXEtterl6CUtrDGcpLYzwaKyM+ceBzs6OHjgAAvmpzbnhRM6VlVhVqG7103Lo4GqKFTkOPjyx64jp7iM+3/9EJo+vClWU/OcfHReIa8d7eLlQ52Dem6PTeV45+haERuyALm8vJwvfelLTJgwgdLSUnJycli0aBGBQACrNZXjWFFRwfHjx4HUjHNlZSUAVquVnJwcWltbh2p4QoxKpmnS3Euh/fpQknW1Ia6alovjRAC9ccMGFi3M3FraME9saCly4c6CZiBDzWFVmVPsZnqBi7bYwFMuFi1aiNvj4Y03Xs94v4rCncvLSBgm9w5SVQunVaFhFObuCXGqUELvq7obG+tTea+LSr1nPNe6detYsGABTqcT3TCJ6gbzSjy9Bt+jTaHXwf/7zEcwLTYe+v2jw14P/abZ+cwscPKztxoGtZKO06rSldCJJEbPvooh243T3t7O6tWrOXToEIFAgJtuuolnnnnmnM97//33c//99wPQ3NxMc3PzOY9TDIy8ZgMzmK9XJGnQ0hYj15Ue0P5tZxtFligXlUB7sJ3Ozi46u7ooKSnJuPGjPWpQ4bdiRpI0RwZtiINiKN9jTqDKYbC7NY4J+Oz9v7BeeeWV/PHRR5kyZSpud/qmRw/w8WoXT+5s5rntcH7FmS/4fTFMk/1tBrmEsfUxOyb/JgdGXq+BO5fXbH97gmhMpz2e+d/ajqNNTHUl8ZsR2oO9fxiZJmzetIlV161KfcbFdUo8NiIdSbLsI+yc32Nfvfl6/vNXf+TRPz/Ney65qNeqRUPhs3O8/NdrtfzPa/v53JKSQXvurpjOXjNCuc+W8f5s+3c5ZAHyCy+8wKRJkygsTBXwvuGGG3jjjTcIBoNomobVaqW2tpby8nIgNeN87NgxKioq0DSNjo4O8vPz0877qU99ik996lMAzJs3r/v852IwzjHeyGs2MIP1etV3xcmJx8h19fynG9UM/nasicWVxUwqST3Xhg0bmTZtKgUFBWnn0Q0Txakzf4I/a1MrhvI9VgiUFxtsbwoTShjk9bNyR24gl+qZ1bz26qt88IMfzHjMqvkBXm8yeWBHhEVTSihwZb4Y9JcZTWL3eijw9H0e+Tc5MPJ6DdzZvGamabI70kWZV82YAqGbJuuam1g2oYC83Nw+z7V7zx4AqqurwQQtqjG7wpe1K2Dn8h4rBL7/xdv49N3f4zWvj1VXXDp4AzuD3ADctNjKT9Y1MLfR5Lp+1KXuD49uENFNCgp8veaKZ9O/yyFbk5gwYQLr1q0jEolgmiYvvvgis2bN4pJLLuGJJ54A4OGHH2bVqlUAXHvttTz88MMAPPHEE1x66aWjLtleiKHWGNJwZWgv/eLBDsJJo0eB/b6agwTjGhMCjqwNjoeD06oyv8RLodtGc7j/3feuuuq9bNm6laPHjmW836IofGF5GQnDGJRUC5dF5bikWYhRKpI0SBpGr/nBe1tjhJJGv9Ir1q5Zw7Lly1FQiCQN8t22rA2OB0N+IIf7vv55Nr7+Cs++9uaw7st6z9QA55d7eXBjI0eCg7Nh0G5RiWoGocToqGYxZAHykiVLuPHGG1m4cCFz5szBMAw+9alP8d3vfpcf/vCHTJ06ldbWVj7xiU8A8IlPfILW1lamTp3KD3/4Q+65556hGpoQo5JmmLTH0ttLm5g8tbuNaXlOZhak2kM3NjXR0RFk+vTpaecxTRPThOIsrhU6XFKbe1xMynXQHNH6VTHC43Zz9dVX8/jjj/ca/Fb47Hx8fqqqxYMbm88pSHbbVFqjyUHpDCjEcOuIayh9JCBvOFF3d0Fp3xv0QqEQO3ftYvHixUBq1WxijmPwBpqlSooK+cl/3MFrf32C1zZuH7bmQQoKdy4rxWWzcM/rxwkPUok2q6LQHB4dX/iHNKv9m9/8Jrt372b79u387ne/w+FwMHnyZN566y3279/P448/jsOReoM7nU4ef/xx9u/fz1tvvcXkyZOHcmhCjDpdcR3TNNNWVva0xKjtTHDNidJuABs3bmDBggUZ646GEgbFXlufHa3GE+VE9705xW7aY3q/Nu8tW7YMQ9d5++23ez3mupl5XD0twBM7W/npmw0YZxkkK4qCYipnXaJOiJHU1Muq10nr60JMz3eSc4bOd2+9/RY1NTV43G4SuoHTqhJwjt3Z41NNqKzke1/9PM89+iAbdx8gqQ9PkJzrtPJvK8o42hHnP146SnQQvqT7HBbquvq/YjeS5AopxCjRHk1mTIk42floSYUPSM0ob1i/gUWLFmc8T0w3qfCP/ZmXgSrx2llU5iGmGald931QFYWbbrqJp1c/TSwWy3wMCv+ypISbZufz131Bvv9GHdpZXhTcNkmzEKNPb6teJ4USOntaYmdMrzAxWbNmLcuXLwOgK25QlesYV2mYM2bM4O47Ps1ffv0T9hw5PmwrSovLvNx1QTm7mqPc/fKxc2q4BKlVu5PNrrKdBMhCjBKNYS1jof31dSFmnDIDc7z2OIlkgkmTqtKOjWkGfoeK/wyzNeNVwGllcZkXVVFoP8OMbVVVFdXV1X1W51FQ+MSCIj4+v5CXDnXy7X/UEj+L2R+XTSV4jt0AhRhuva16nbS5IYIJZ6x/fOjQYUzDYOrUqakNxgoUus9t8+totGjRIj7/yY+x+pf/TW1TC5Hk8ASZF0708+UVZWxtjPCts/wMO5VNVQa1hNxQkQBZiFEgmjSIJQ3slp7/ZLtOzMAsPGUGZsPGjSxcuChj3l8ooTMxZ3zNvAyU225hYZmHHIeFlkiyz40x11x7LevWraOhsbHPc36wpoDPnlfCutoQd7989KwCXUVRaBuEBiRCDJfeVr1OWl8Xwm1VqS5IL5l4qjVvvNG9Oa8zoVOZY8dmGZ/hy8qVK/nwDdfy1C++S0dXaNhmYi+dlMMdS0vZWB/mO6/VkjyHXGiv3UJ9V2LY8qnP1vh8hwkxyvS25L+pPpyagSlPzcCYmGzcsIHFi9KrV2iGidWikj8OZ14Gym5RmVPsodxvpzmi9fpBnuP3c8W7r+CJJ54440a8a2fk8sVlpWxpiPDVF46cMY3jdKOxE5UY33pb9YITqWB1IeaV9N3FMxqLsnXbVs4//3xM00QzoNQ7vjcYr1q1iktWLOXpX34PQ0vQFh2e/QnvmRrgc+eX8GZtiO++dvysU8YsqoJmQEeWp1lIgCzEKNAcTuDIsNFlQ30Yj+2dGZjDhw9js9koryhPO7Yznpo9Hs3tWIeTRVWYnu9iRoGL1phGQs8863vRRRcTDAbZunXbGc95+ZQAX7+ogn2tMf7t+SMD2njntKp0xY1hW1YV4lz0tup1Um1nkuaIxqKyvvOPN6zfwPTpM/D7fISTBoVu65gu7dZfN998MxPLS1n/l0fId1tpPsNq12C5enoun1pUxOvHuvj+G3XoZ/mcDotCQ9fglI8bKhIgC5HlDNOkOZK5vNuGuhDzS9xYT6RMbNiwkYWLFqalVximiWGaFHtl9nggFEWhMsfB/GI3XQmdaIZSR1aLhRtvvJEn//QnEskzp0BcMMHHNy6ppLYzwZeeOzKgXDxVgbaIVLMQ2S+U0PtcVTlZ3m3xGQLkN9asYfny5UBqD0XlOCjt1h+KovAv//IvbNrwNuHDO5iY4+hztWsw3TAzn4/PL+SVw538ZN3ZVejx2FUawxrJXiYesoEEyEJkuVBCRzdJm/k9GkzQEtFYXJ66wBimyaaNGzNWrwgldEq8dpy97CYXfSvw2Flc5iOs6RlrJVfPmEFlZSUvvvhCv863uMzLd941gbaIxpeeO9zvChUeqWYhRom2qIajjzzhDXVhyn02Svr40n702DHC4RDV1dXENQOXzTJuSrv1h8fj4Utf+hL33fsTCq0JqgtctEV7X+0aTB+sKeAjcwp47kCQn7858IZIqqJgmiYdsexdEZOrpRBZriOmo2T48Flfn5qBOblBb//+/fj8foqLitKOjesmFTnjO2/vXPkcFqoLXLRHM3+gX3f99bzy8iu0trX163w1RW6+e8UEoprJl549wuF+dKtyWFXCCZ3wAPOXhRhurZFkr1/IE7rJ1sbwGZuDrFmzhmXLlqEqCqGkzqSAbDA+3dy5c7n44ou57777KPfbmV/ioTOhD0sq1kfnFXDT7Hz+si/IL9c3DjhIdllV6rL4C78EyEJkucZQAo8tfdZkQ12YCr+dYk9qBmbDhvUZN+dFkwY5Dgt+h3XIxzrWlXrt5LstGXeOF+Tnc/HKi/nzn//c7/NNy3Px/csnoirw5ecOs6clesbHqKpCi6RZiCwW1wziuonNkjmY3dkcIa6bfaZXxOJxNm3cyLKly9ANE1VRKPBIilgmH//4xzl27BgvvfQS+R4b55f70A3ojA/t54SCwq0LCrmuOpendrfz0KaBdQ1121RasrhLqATIQmSxhG7QmdDTZmJimsn2pjCLT9QP1TSNLZu3sDBDgBxOGlQFnMMy3rFOUVIb9xKGkTHV4rLLLufY0aPs3rOn3+ecGHDw/XdX4bGrfOWFI2xtjPR5vNemcrwzPiwbcoQ4G+GkQV9x0vq6MFYF5pX0PoO8efNmJk2aRCAQoCOhU+m391ntYjyz2+18+ctf5v7776e5uRmv3cKici9OmzrkFS4UFP55cTHvnRbgsR2t/H5rS/8fm+VdQiVAFiKLdcX1jBea7U1hEjrdHah2795NUXERebm5PY5L6iZ2i0KuS2aPB4vbbmFanitjIxG7zcb1N9zAn/70JzS9/0ucpV4b37+iikK3jbtf7rulq92iEtNMQonsnHURoiOWpK8yxRvqQswqcvfaYQ9gzZpU7WPTNDEMKPFJilhfpk6dynXXXccPfvADDCPVint+iZd8t5WmyNC2dlZOdA29bHIO/7u1hT9u73+QnM1dQiVAFiKLtUY17BmWKTfUhbGpMKfYnfq5l815nQmdiQEp7TbYyvx2cp3WjKkW8+bNJcfv59VX/zGgcxa4bfzrklKimsmbtaE+j7WqqdJ/QmSjlgxVd05qi2kcCsZZ2Ef+cX1DPa0trcyePZtQwqDIY8WdIc1M9PT+97+feDzO6tWrgVRb59lFbiYFHLQMcYULFYU7l5WyssrPQ5ub+fv+9n49LtUlNHOFoJEmAbIQWco0TZpCyYwXhg31IWqKPDitKolkkh07tjN//vwexximiYlJkeTtDTpVUagucJHQjbSLjoLCjTfeyHPPPkdnV9eAzju72EW+y8orhzv6PM5rt1DXNbSzQkKcDc0w6YobOHoJkDfWhYG+20uvXbuWJUuXYLVYiOkGFVLarV8sFgtf+tKXeOSRRzh69CiQ+qyakudiVtHQV7iwKApfWlHG7EIXj2xrGVA+cjZ2CZUAWYgsFUkaJHQjLe+uKZzkaEei+wKza9cuKioqyPH7exzXFdcp89l7vVCJc+O2W5iW76ItQ6pFSUkJ5y85n6effnpA51RRuGiin/XHQ3T1UanCqiokdGPY2swK0V/hhI6i9F3/OMdhYUpe5n0RSS3JW2+9zbJly4hpBl67hRyHzB73V3l5OR//+Mf53ve+h6a989lU5nOwoMxLV8IY0tlaq6Jw5bRcmsIaO5tj/XqM165Sm4VdQuXKKUSWSu1AztQ9r2eB/U0bN7JwwcK04xKGSYVfZl6GUpnfTo7TkrFt9FVXXsX+/fv5+zN/H9BMysVVfjQT1hzte/bZpioDajIixHDoiuu9lmIzMNlYH2ZhqQc1w2cbwNat2ygvK6OwoJBQUqdKSrsN2JVXXkkgEOAPf/hDj9vzXFYWlXkIJdNXvgbT8gk+7BbOuBJ2ktOqEk7qRLIszUICZCGyVFNYw23LnH9c4LIyMWBPpVfs3MncefN6HBNJ6uS6rHilJeuQUhWFmQVuYlr6BcfpdHLnnXeyZctW/vjoH/udDjGjwEmJ18Y/jnT2eZzXbqE+JGkWIru0RDRcvezQO9AWoyOu951esWYNy5YvRzdMrIpCvltSxAZKURTuuOMO/va3v7F79+4e9/kdVqbmOWkfwhJwbqvKknIfrx3pROvn55MCtGdZ0xAJkIXIQpph0h5N3+iimSab68MsLPOioLBz504mVFbi9/l6HBdJmkyUvL1h4TmRapHpgpPj93PH5z9PS0sLv/rVA/1qRa2gsLLKz+b6cJ/ljyyqgqYbWd2JSowvhmkSjGs4rJlnfDecyD9e2Ev945aWFmpra5k3by7BuMaEgENKu52l/Px8PvvZz/K9732PaLRnffXKHDt+R+Z67oNl5aQcgjGdzQ3hfh1vV1PVebKJBMhCZKFQQscwzbSlxb2tMUJJg0UndoBv3rSJBQsW9DgmoRs4pLTbsCr32/HZLRk73DmdTj796U9jtzv46U/vIxzpu84xpNIsDOC1I32nWdgtCg2h7MvdE+NTJGlgGKmVlUw21oeZFHCQ58z82bR23VrOO/98rBYrpgnFHintdi4uuugiZsyYwYMPPtjjdlVRmFXgJqFnruc+GM4r8+KxqbxyqO+VsGwmAbIQWag9msw4c7LheAgFWFDq6TW9oithUJXr6PUiJQafqijMLHQT1cyMuX1Wq5WPfexjTJo0iR//+Me0B/sugVQVcDAhx84/jvSdw+exWWgKJ4fsIifEQIT6mJGMagY7myIs6mX2WDcM3lz3JsuXLyOUMCj22nDZJEQ5V5/97Gd58803Wb9+fY/b3XYLMwpdtA9RIxG7RWHFBD9vHO3Mupnh/pJ3nxBZqCGk4c5wcdhQH2JGgRO/w5IxveJkPmqhlHYbdl57amd+pgYikAqir7/uepYuXcoPf/gj6urrez3XyTSL7U3RPjfiWVQF3Uh9KRJipLVFkzh7Sa/Y0hBGM3sv77Z37x4CgQClJaXEdNlgPFi8Xi9f+MIX+PGPf0zXaWUnS712Cjw2Ooaok90lk/xENZP1dX3Xdc9WEiALkWViWqoMj/20jS6dcZ09LTEWlr5TvWLBwoVpx1T47WmPFcOjwm/H20uqxUnvuvRSVl17Lffddx/79u/r9biLqnIAePUMm/UcFoXGcHa2ahXjh2matEb1XhuEbKgP47AozC50Z7x/y5atzJs/j5hm4LOr+KW026BZsGABK1as4Kc//WmP2xVFYXq+CwOGpD7y3GI3uU4rLx8KDvq5h4NcRYXIMqngKn1JalN9GBNYVOYlkUyyc9cu5s6d2+OYpGFSJi1ZR4xFTaVaRHpJtThp8eLF3HzzzTz44K/ZvHlzxmMqfHam5jn5x+G+A2SPXaU1qg9p2SYhziSqGSQNo9eunRvrQswt9mTsDGpisn37dubMmUsoIaXdhsKtt97KwYMHeeWVV3rc7rKpzCxwEYzpmINcEceiKFxc5eOt4yFCydG3mVgCZCGyTDCmZc4/rg/jtanMKHCyc8cOJk6Y0CO9IpzQyXfb8EhptxHlc1iYkucgeIbqEtUzZvAv//JZnnjiCV57/bWMx6ys8rOvLcbxrt434qmKgomSsRazEMMlkjAyfa8HoCGU5HhXstf0iqNHj2G32ygoLMJqUaW02xBwOBx8+ctf5he/+EVaqkWR106Zz077EFS1WFmVQ9I4c133bCQBshBZpjWSXt7NxGRjXYj5pR6sisKmTZuYf1r1iqhmMEFKu2WFSr8Dt10lcoZZk8qKSu644w5efvll/vKXv6Q1FLloYqo74j/OUHBfVc0zBuRCDKW2mJZxdhjozkFdWJo5QN62dStz58ylM64zMcfR6yy0ODfTp09nxYoV/PGPf0y7b2q+E6uiENcGN9XiZF33V86wEpaNJEAWIoskdYNQwkhrD30kmKAlqrGozNOdXjFv3jvpFQndwGlVCThl9jgbpFItXISTxhkbeRQUFHDnnXeya9cufv/7P6Ab71ygijw2Zhe6zphm4bKqNIWl3JsYOS3hJM5e8o831ocodFupzMmc/rV121bmzJ2LgUmhR8pTDqWPfOQjPPvsszQ1NfW43W5RmVXkpiM+uKkWqQ3HOWyqD/e6gTlbSYAsRBYJJw0UJf3D6eQMzKJSb3d6hc/7TnpFV0JnQkBKu2UTv8PKpICD1qh2xguOz+vj9ttvp7Ozg0ceeaTHfRdX5XCkI8HhYLzXxzssCl0JfUg22ghxJnHNIKalbyyGVNOjzfWp8m5KhvbSLa2tdHWFqJhQhdOi4rbJl/yhlJ+fz9VXX81vf/vbtPvyXFYm5DgGPdXikio/JvDq4dGVZiEBshBZJBTXM25O2VAXptJvp8hjy5heAQqBXorvi5FTleukwm+nJaKdcSbZ6XRy6y23sm3rVoId76RUXDTRhwJnXqI0FUJS7k2MgHDSgAzBL8DuligRzWBxL/WPt27dwuzZs4lpqdrHYujddNNNrF+/noMHD6bdNznPiV1ViCYH77NkYsDBpICDlw8HB+2cw0ECZCGySEtEw3XaLExMM9jeFGZxmZd4IpGWXqEbJlZVwSNF9bOOeqKMUlXA0e8gecGCBaxbu7b7toDTyvwSD68c7kjLUT6VTU01mBFiuHXGNXrJrmBDXRgFmFeSubzbtm3bmTdvLkkDcl0SIA8Ht9vNBz/4QX7961+n3WdVFWYXuQklB7cyzsoqP7tbYjSERs9nlFxRhcgShmkSjGs4Tiu0v70pQtJIFdjftXNnWnpFJGlQ4LZKWaQspSgKk/OcTMlz0hLRznjRWXHBCtasXdMjmL64yk9DKMnellivj3PZVBpH0cVHjB1nyj+eUeDEl6G6TjgS4djRo0ybNh0An11CkuHy3ve+l2PHjrFly5a0+3Kc1j6bHp2NlSfqur9yhg3H2UTejUJkiUjSwDBIyyNeXxfCboGaIk/G9Iq4YVAknfOymqIoTMp1Mj3fRUu07yC5sqISn9fHrl27um9bMcGHVaHPzXp2i0pMMwd1aVSIM9EMk66EgSNDBYuOuM6e1liv6RU7dmxn2vTpmKqNgMuCTRocDRubzcYtt9zCgw8+mHGPRKXfge8MTY8GothrY1aha1RVs5B3oxBZItTLxoj1dWFqijwoRnr1CgDMVJtjkf0mBBzMLHDRGtXQ+giSl69YwRtvvN79s89uYXG5l1ePdGL0kWahKOagXdCE6I9IUgfTzLiCtak+DKSaG2Wydes25s6dQ0TTKZYv+cPuoosuwjRNXn311bT7LKrCrCI3Uc0YtFSLlVU5HA7GORTsfSUsm0iALESWaIsmcZ6WXtEYTlLbmeg1vSKuGfgclrSycCJ7VeQ4mF3kpi2qkdQzX3gWLVzIgf0HCAaD3bddXOWnJaqxozHa67ntqkpzRNIsxPDpiuu97c9jQ30Ir01lWr4z7b6klmTPnj3Mnl2DaSrkyCbjYaeqKrfeeiu/+c1v0LT0dAqP3cL0fBdt0cFJtbhoog+Vfmw4zhJyVRUiC5imSVtUT2sQsrH+nfJuGzdtZMHChT3uDycNijzSWnq0KfXZmVvsJhjXMpZmczqdLFi4kLXr3tmst7TCh92i9Nk0xG1TaYmcuaycEIOlNZre2AhSzY021YW7mxudbu/efZSWluDxeLFZZJPxSFmwYAFlZWX87W9/y3h/md9Ovts6KEFywGllQamHVw71veE4W8g7UogsENNMkoaZ1kFqw/EwBW4rJS7YtWs38+b2TK8wTJNcl6RXjEZFXjvziz10xDLXL75gxQrWrFnbvVnPZVVZWuHl1aNdaL0EwBZVIakbkocshoVhmrRHtYwb9E5tbpTJye55ssl45N1666088sgjRCKRtPtUJVXVwuewDMqmvUsm+WkMa+zqY8NxtpAAWYgskGpJ3DPo0UyTTQ1hFpV52bUrlV7h9b6Ty2eYJqqqSP7xKJbvsbGwzEtXXCd2WovXiooK/D4fO3fu7L7t4qocOuM6mxvCfZxVoXOQC/0LkUk0aWCY6RuLIZVeAanVr9MZpsm2bduYM3cuCcOg0C35xyNpypQpLFiwgCeffDLj/TaLypxiN26rSjB+bkHysko/dgu8cij7q1lIgCxEFmiPamnLkHtaYoSTBotKU9UrTk+viCYNCl1W6Z43yuW6rCwo8xJOGmlB8ooLVvDGG290/7y4zIvbqvLKod5z+FxWRfKQxbAI9bEh9NTmRqc7evQoLpeL4qIiTBO8DvmSP9I+9rGPsXr1atra2jLeb7eozC3x4LSodCbOPkj22FTOL/fx6pHOXlfCsoUEyEJkgZaohuu0HLz1x0MowOx8Gzt37kpLr4jqJgWy83tMCDitLCrzENWME6sJKQsXLuLggXc26zksCssn+FhztItELxv8XDaVtuiZm5IIca5ao1rG8m4xzWR7U7j39IptW6mZM4e4ZuCxW3qtoSyGT0lJCZdddhm///3vez3GYU0FyRZFTW3OPEuXTMohGNPZ0udK2MiTd6UQIyyhG0QSOnZL+ga9GQVOju7fTdXEiT3SKwAwwSczL2OG32FlUZmXhG525yQ7HY60zXorq/xENIP1J5awT6cqCroJYWk7LYZYWyRz/vHulggJHRaUZA6QU+XdUvnH0l46e3zoQx/itddeo7a2ttdjnFaV+SUeFKXvFYS+nFwJe7mPlbBsIAGyECMsnDBQTquTdGqB/Y0b09MrErqB06rgtkmAPJZ47Ram5DnpOiW4PX2z3vwSD36Hpc8cPgWTjnPMFRSiL9GkQUJPtbk/3fam1Gav2cXp7aWbW5oJhUJUVVWlNhlLebes4ff7ed/73sdvfvObPo9z2VTml3owTc6q7rrDorBiYmolLN7LSlg2kABZiBHWFdc5/RpzssD+nHwbu3alp1dEkgYlMvMyJuW5bJyaHVFRUUGO38/OHTsAsKoKF07w8WZtKC1n+SS31UJzWPKQxdCJJHVQMgc3O5qiTAo48Gb4Ar9t2zbmzKkBUh0mZZNxdlm1ahW7d+9m9+7dfR7ntllYUOpBM+mRFtZfJ1fC3j6eeSUsG0iALMQIa40m0/KPN9SH8NpVko0HqaqqSkuv0A3IdUmAPBa5bCp+h9oj+F1xwQreWLOm++eLq3KI6ybrajNfXJxWhWBM77NbnxDnoj2qYcuwQVgzTXa1RJhd5Mr4uK1btzF3zlyiSYN8tzWttKUYWU6nk49+9KO9tqA+ldueCpIT+sBb3M8r8RBw9r0SNtIkQBZiBOmGSTCm99joYmKysS7MghIPmzdtYsGCBT0eY5omKJJ/PJZV+B2ETrngLFiwkIMHDtAebAegpthFvsvKK700DVEUBdM0zzpHUIgzybSxGOBQe4yYZlJTlJ5/HAqFqK2tZfqMGcR0U8q7ZanLL7+czs5O3nrrrTMe67VbWFDqJaqnV+Hpi1VRuGiinzePdxHO0rrtEiALMYIiSQMTehTJPxyM0xrVmFdoY/fu3cybN6/HY6KaQa7TmjH3T4wNAZcVTLN7BsfpcLBw0SLWrk1t1lNJXVzW14V6DYKtqkJwEAr7C3G63jYWQyq9Asg4g7x9xw5mTJ+O3WYDTPzyJT8rWSwWbrnlFn79619jGGcOXn0OCwtLPYSTBvEBBMmXTMohacCao9m5WU8CZCFGUCihcXqYu6EulX/sDh5JpVd4es7ERDWTIq9sbBnLnFaVPJeN6KlpFsuXs2bNWvQTF6yLq/xoBrxxtCvjOVxWlaaQ5CGLwZeqkJL5C/qOpghFHmvG2eFtW7cyZ+5ckrqJw6JmnIEW2WHJkiV4vV5eeOGFfh3vd6TaSIcSmTuDZlJd4KTEa+WVwxIgCyFO0xbRcJ5WR3R9XYiJOXYO7tzGwoUL0h5jYpLjkAB5rCv12Ygm38kBrKioIBAIsOtEZ70ZBU5KvDb+cSTzxcVhVQkn9AHN6AjRH51xnQzljzEx2d4UZXZhevWKpJZkz9691MyeTSSpU+ixSXvpLKYoCp/4xCf43e9+Rzwe79djAk4r80u9dMT6FyQrKKysymFTfTgrq+5IgCzECDFNk9ZozzqiScNkZ3OEuSfSK+bO7ZleoRkmdlXFLTMvY16uy4qpmD02yqxYsZzXT3TWS11c/GyuD9MVy5xmYXL2tUqF6E2mjcUA9aEk7TGN2UXpAfKe3XuoKC/H6/WSNCDPJV/ys92sWbOYPn06TzzxRL8fk+uyMr/EQzCmn3GTH8DKqhwMYM2x7KtmIVdZIUZIVDPQTbPHLu79bTESOviCR5k0aVJaeoXMvIwfdotKvstG5LTNeocOHuzerHdxlR8D2NQQ6eUcCm3R7JuZEaOXbph0nLax+KQdjan3YU2GAHnb9m3MmTv3xCZjUzYZjxK33XYbzz33HL/61a/Q9f592c732Chw9/zs6k1VwEFVwMHrR7KvmoUEyEKMkEjCALPnRWbHiQL7nYd3smDB/LTHJHSTArfMvIwX5T470VOWKp0OB4sWv7NZryrgoNJv77Vlq0vqIYtBdjLoyfQlfUdzFK9dZULA3uN2wzRP1D+eQ1xPpYhl2uAnsk9JSQn33XcfBw4c4N///d/p7OxfvnC5306sn7nIK6v87G1LbU7PJvIOFWKEtMU07KfNwmxvilDiNDl8YF9aesVJMvMyfuQ4LWAq3V30AFasuKB7s56CwnllXg4Go8S09OVMm0UhrptnVchfiEy6Ehqp5J1025sizCp0o562ge/IkcN4PF6KCgsJJ3WKPVLebTTx+/18+9vfZsqUKdx+++0cOHDgjI/JcVowTaXfaRYAbx/PvOF4pEiALMQIaQkncVh71j/e2RylNFqbMb0iphn4HRaZeRlHbBaVYo+1x1JleVkZgUCAnTtTnfXml7rRdNjZkjnNAvNk1QEhzl1qY3H6Z1AwplHbmWB2YXp5t61b3+meBwo50l561LFYLHzyk5/klltu4atf/Sovv/xyn8fbT3x29afGcYnXxn9cXMGlkwKDNNrBIVdaIUZAXEsVVT812K3tTKZ2hzfvZ/78+WmPiWgGxV572u1ibCvx2dNmhy9YsYI3Xk9t1ptT7EFVYXN95jQLh1WhOZwY8nGKsc80TdpO21h80s6WE/WPizPkH29Ldc/TjdSeC49dQo/RauXKlfzXf/0XDz/8MPfff3+fecmZPrt6M7fInbaiOtLkXSrECEh9qz49/zgMpkHX8UPMnjUr7TGGeWLJXYwrOU4rqkKPNIsFCxdy6NAh2trbcVlVJgacbO41D1mlJdq/HeVC9CWaTN9YfNKOxgg2Fabn9ZxBbmxqIhqJMGHiRKKaQYHLgiqbjEe1KVOmcN9993H48GG+/vWvEwwGMx538rNLH6Ut7yVAFmIEdMY1Tp+E2dEcxRNtoSg/l0Ag0OM+3TCxKKm2nmJ8saoKRR5bjzQJh93eY7PejHwX+1pjGUu6WVQF3TCztp2rGD3CSQOztwYhzRGm57vSZgFPbs5TFYWYZlDokVWwscDn8/Htb3+b6dOn86//+q/s27cv7RirqlDs7V81i2wkAbIQI6AlnExbptzZFKE4epyZM6vTjo9qBoVuq8y8jFMlPjtxvecszIoVF7B2bWqz3ox8JyawpbGXPGSgKwsL8YvRpTWi4cgwexzTDPa3xjLWP962dSs1c+ac+EmRL/ljiKqq3HrrrXzyk5/k61//Oi+++GLaMSVeO/F+VrPINhIgCzHMNMOkK2H0qCPaHtM43pXE2naU6uqZaY+Ja6bMvIxjOQ4LVrXnUmV5WRm5ubns2LGdqlwnDovSR5qFQlNYAmRxbtqi6V/sAfa0RNFM0jbodYW6OF5Xx4wZ00noBi6btJceiy666CK++93v8r//+7/88pe/RNPe+azJcVqwWtRRmWYxZO/UPXv2MH/+/O4/fr+fH//4x7S1tXH55Zczbdo0Lr/8ctrbUwXvTdPkX//1X5k6dSpz585l48aNQzU0IUZUJKmDafaoI7qjKQrJOMlgE1OmTEl7jImkV4xnFlWh2GsnfFq5thUnNutZ1VRzht426jmtKm1RbVRepER2iOsmMc3ElqlBSHNq5WLWaTPI27dvp3rGDGzW1DJ7iVeqV4xVkyZN4t577+XYsWN87Wtfo6Mj1fhDVRTKvDa6RmFHzyELkGfMmMHmzZvZvHkzGzZswO12c/3113PPPffwrne9i3379vGud72Le+65B4C///3v7Nu3j3379nH//ffzmc98ZqiGJsSI6orrp+/PY2dTBGvwGNVTJ+Ow95wplpkXAVDstZE8Lc1iwYIFHD58mI6OTuaXeDjWmaAlmt4YRFVS9UhPD7CF6K9UHmnmL1g7mqJUBRz4TvsSv23bNubOmwukVs5yXVL/eCzz+Xx861vfoqysjIceeqj79kKPjeQo/HI+LFfcF198kSlTpjBx4kRWr17NzTffDMDNN9/MU089BcDq1av52Mc+hqIoLF26lGAwSH19/XAMT4hh1RpNryO6ozlCfvg4s2elp1fIzIsA8DssWE5bqjy5WW/79u3ML03N3m3ppe20qip0xCRAFmenM25gzZB/rJsmO5sjaekV8USCvXv2Mnt2DaZpoiqSfzweqKrKxz/+cd54443uDAG/w4LToqZ9wc92w3LVffTRR/nQhz4EQGNjI6WlpUCqhWFjYyMAx48fp7KysvsxFRUVHD9+vPvYk+6//37uv/9+AJqbm2lubj6nsZ38CxT9J6/ZwJz6epmmyaH6KH6HSiKSutjENZP2YDt5iRYqKy+lPdjz9W2PGpRb7TRroWEd90iS91hmrmSS2qCG3/HOF6wZM6p5443XWb48xkRHnJ1Hm1iYm74pJqGb7Il04Uw4hnPIWUneXwN3pDmI36/THusZJNd2JvDoEaq9nh6fXfv372fKlCkkEnE6IlGcFpX21vFTj3u8v8cuvvhi/vznP3PNNdcA4NKS1AaT5PTSCTaUMLAlwzQ3Z89emyEPkBOJBE8//TT/9V//lXafoigZ+7n35VOf+hSf+tSnAJg3bx6FhYXnPMbBOMd4I6/ZwJx8vcIJHX+4i/xTlho3N4Rp6ozhD3cxffo0lFPyLwzTxHToVJX5M9YeHcvkPZbO7tPoqguR637n/ePz+XnqqadQFYXKogLebI3yuUCgx/sIUl/OWqMagTw/NunGKO+vAUjqBqozQnF+Xtp9rza002K6mFtVQu4pLaT37NnLjOoZ5AZyMaIaMwqcFPrG15ez8fweu+666/jCF77Ahz70IVwuF64cneDxrl7TbKxxHUvcklWv2ZB/Sv79739n4cKFFBcXA1BcXNydOlFfX09RUREA5eXlHDt2rPtxtbW1lJeXD/XwhBhWmeqI7myOQMsR5tfMSgtqokmDXJd13AXHIrOTrca1U9IsrBYLkydPYvuOHcwv9dASSVVEOV1qMkIhJG2nxQD19Z7Z0RymwG2l+JTg2DBNduzYwdw5qfxj0zTxOyRNbDypqKhgzpw5PPfccwB4bCouq4XEKCr5NuQB8iOPPNKdXgFw7bXX8vDDDwPw8MMPs2rVqu7bf/vb32KaJuvWrSMnJyctvUKI0a4tQx3RHU1R/F21zJuT3j0vqpk9LjxifFMUhTKfLa0hyJQpU9i2dSvzSzxA722nrSq0Z9jEJ0Rf2qLJjPnHJiY7mqLUnFa9ora2FrfLRUFBAZphYreouGWT8bhz44038uSTT6LrOoqiUOG3j6ov6EP6jg2Hwzz//PPccMMN3bfdddddPP/880ybNo0XXniBu+66C4CrrrqKyZMnM3XqVG677TZ+/vOfD+XQhBgRbdFkj2oUummyoymENVjLjBnpDULAxN9LzpYYnwo9drTTrjGTJ03mwIEDFNgNCtzWXushu20qTRGphywGpjGUxG1LD5AbQxqtUY3ZhT0D5J07dzJzZmrDcSSpU+ixDTidUox+M2fOJD8/n9dffx2AfJcVfRS1vB/SNQ+Px0Nra2uP2/Lz8zN2W1EUhZ/97GdDORwhRlRMM4hpJl77OxeKw8E4sZY6JhUW4Pf5ehyvGSZOq5R3Ez157SpOq0JCN7CfyCV2OB1UVVWxZ+9e5pcU8ObxEAYm6mkpO3aLSldUI6YZGRs+CHG6SFInpmeuYHGy/vHs4p4VLHbv3s3ll18OpDaHFrglvWK8uummm3jkkUe46KKLcNst+B2WUfP5k/0jFGKMCCd0Tq8juqMpCs2HWTR3dtrxMvMiMlEUhXK/g1Cy5zRyTU0N27ZtY36Jh664zsG2eMbHm5gn3otCnFlXXCetcPsJ2xsjeGwqE3Pe2XwXi8WoPXaMqVOndt/mk1WwcWvJkiWEw2G2bdsGQLnfTjg5OtIsJEAWYph0xLS0WZgdzREcwaMszhAgJ3TId0v+sUiX77amdcWrmTOH7du3M7coNZvXW5qFQ1VpkTQL0U9N4SSuDN3zIPX5NbPQheWUL/F79u6lqqoKh91OTDO6N5aK8UlVVd73vvfxxBNPAJDnsmGaJuYoSLWQd60Qw6Q1quE6bVlpW20rjmiQKVMm97jdNE1QTHx2+Scq0nlsKm5bzx3hBfn5+P0+Qs3HqfDbe92o57KpNIeTo+ICJUaWbqRKA2ZK8+qI6xztSKRt0Nu1axfVJ/OPNYNib/bUtRUj47LLLmPv3r0cOXIEp1Ul12UlevpGiiwkV18hhkFSN+iKGzhOCZAbw0najh1k4qRJ2Kw9Z4rjuknAaZV6tSKjkzvCu05LlZgzZ86JNAs325oiGdu7WlWFpGEQHSXLnGLkhBI6ppHqgne6XSfzj0/ZoGdismvnTmbNSlXkMU3IcUp6xXhnt9u55ppr+NOf/gRAmc9+onV5dpOrrxDDIJI0UJTT8o9P1D/OlH8cTuoUSXk30Yd8l5XTw985Nak0i/klXuK6yZ6WaMbHmihpwbUQpwvG9IzBMcD2pihWFaYXvLNBr6mpGd0wKC0tQTdMVAVpLy0AuOaaa1i7di2tra3kuqygkPWrWBIgCzEMuhJ62ma7HQ0R1NYjXLR4btrxpqmQI4X1RR/cdgseW2pH+EkTJk4kFApRpqbSKzb1lmZhUWgJSz1k0beGUKLX+sU7msJMy3PiOCU/edeuXVRXV6OgENUMClzWXgNsMb74/X5WrlzJ008/jd2iUui2Zf0ssgTIQgyDlrCG87SNLlsO1eK1WygtKe5xu26YWC0KHsk/FmdQcdqOcFVRmDOnhsP7djI1z9nrRj2nVaU1qmX9DI4YOTHNIJLsmRb2zn0m+1pjzC7y9Lh9965d3fWPY7pJgayCiVPccMMN/P3vfycSiVDms2d9HrJcgYUYYoZpEoxrPeo+hhI6tfv3Mmna9LT20jHNoMBlkZkXcUZ5LhunpxnPmXMyzcLD7pZoxouQRVXQTVPykEWvQvH0spQn7W+LoplQU/ROekVSS7J//36qq082PDIlvUL0UFpayrx583jmmWfIcaZWF4ws/pIuAbIQQyyqmRgGPQLeXc1RaDnC4jnp+ccx3STPJTMv4sxcNpUch9ojzWL69BkcPXKU6oCCbqZq1WZkKqOmHqkYfk2RJHY1c4iwvSn1npp5yga9AwcOUlJaisftxjBNLIoiTY5EmhtvvJGnnnoKxTQo8tgIZ3HraXn3CjHEMn0AbK3vhPZaLj1vTsbHeKWwvuincr+dU8saO+x2pk2fjtJ8CKsKm3pJs7BbFFqlHrLIwDBNWsLJPvKPo0zIsZNzyufUqekV0aRBruQfiwxmzJhBcXExr732GiU+O3F9DAbIc+ZkvrALIXpqj+s4rT0vFJt27cOXX0h+Ts/20oZpoij0emES4nS5GVYbampq2LtzBzMLXH3mIbdFZaOeSBdOGOhmKhXndLppsrM50qO8G6Q26L2Tf2yQ75JNxiKzG2+8kSeeeAK/XcWqKmlNj7JFn+/gJ598MuPtpmnS0NAwJAMSYiwxTZNgzKDc907AmzRMDu3fw5xpM9KOj2smAYfMvIj+c1pVPFaFuPbOhqqamhpWr36KuQuu5Pfb2+mI6z1m+wBsFoWOuElMM3rkxwvREdPoLf/4SEeccNJg9ikNQoIdHQSDQSZOnAik6h9Le2nRm/POO49f/epXbN+2ldLKGTR0JbLymtdngPyBD3yAj3zkI2nlqSDVb10I0bdw0iBpmD1mYva3xdAbD7P48g+mHR/VDcr80nlKDEyBy0LolAA5x++nqLCIglgjYGdrQ5gLJ/rTHqcoJuGELgGy6KExnMRjyxzg7mhM1dY+tYPe7l27mDZ9OhZVPdEFVOn18UKc2n76y//+DY51xHuUC8wWfQbIc+fO5Utf+hI1NTVp973wwgtDNighxopgTOP0VcoNh5sh2sHK+ekzyKZpysyLGDC/Q6Uj0fO2mjlz6Di2F6d1Dpt7CZCtikIwppHvlk2hIiWhG3TENfKdmcODHc0R8l1Wir3v3H9qekVcN8lxWDKmZwhx0qWXXsrDDz9Ma/0x7JZ8dNMk2658fU4b/PjHP8bvT/9QBfjzn/88JAMSYixp6Eqk5R+v37oDT8lECryOtONNU8Ej+cdigNw2FZOenanmzJnDzu3bmVPk7jUP2WVTaZGNeuIUXXEdxVQyrhxDqoLF7CJXd3lKwzTZs2cPs2a9s0GvQL5wiTOw2+1ce+21PPmnP1Hms9EVz77Onn1eiS+88EImTJiQ8b7FixcPyYCEGCvimkFnvOfytYnJwX17mDw1U/6xgc+hYrNIgCwGxqYq5DgtxPV3AuSyslIApthCHO9K0pShc57dohJO6iSyeCe5GF5tUY3esiMaw0laIhqzC99pEHL06FF8fj+5gVwAdBP8sgom+uHqq6/mzTffRI119fqFbCT1mWJx++239znoe++9d9AHJMRYEUronP7P51hHgkTDIc5/3zVpx0c1gwrJPxZnqchj40B7rPsLmYJCzZwa4i0HgSlsbghzxZRA2uMUUyGcMLC75IvZeGeaJo2hJO7e8o+bU/WPZxe/0yBk166dpzQHATClC6joF5/Px6WXXsrzf32a2e9+P2TZ1rY+38WLFy9m0aJFLFq0iKeffrr7/0/+EUL0rimcXmh/zc5DYLGyZFpF2vGaYZLTS96fEGfid1gwTyuXNGfOXBoO7CbHYek1zUJVoDMLlzfF8IskDRK6gbWX/OGdjRFcVoVJgXfSw3bt2tWdXpHQDdx2C3ZZBRP9dP311/Pcc89SYDeybha5z6vxzTff3P3/P/7xj3v8LITonWGaNEc0fDaVzug7t6/fugN78SQqczLNFCt4pDWrOEteuwUUBdM0uy80U6dMoam5iVlzDDbXRzAx01qbp/KQk0wMpOfEi/GlM671GaRsb44yq9CN5cQxkWiUuuN1TJkyFUjlH5f6ZBVM9F9JSQkLFy5k0xsvsXjpipEeTg/9/pqXbZG9ENksnDDQTivvBnBo3x6mzqhOC1KSuonTqki5LXHWLKpCrtNK9JS201arlZnVM8kPH6MtpnHs9FIXgMOi0BHXs7ZYvxg+TWENlzXztT6cNDgcjDO76J30ir179jBp8mTsttSmvKRpkisNQsQA3XjjjfzlqT/jsWTXZ5BcjYUYApnKuzV1Rgk31bK4Zmba8THNIC9DRzQhBqLQ0zNABqiZU0Oibj8Am+ojaY9RFAVMk3BS0izGM80waYtquHr5kn64PZUgemoHvV27dzFz5in5x6bSa/6yEL2ZNm0aS5YsIRgMjvRQeugzQPb5fPj9fvx+P1u3bu3+/5O3CyEyawgl8Jx2oXl5407wFTB/Ql7a8XHdJN8tMy/i3PgdVjhtdWLWrNnUHT5AkRM2N4QyPk5RyMoyS2L4dMX1Huk5p9vfFseiwIyC1AyyiZnKP545C0gF2HaLgkvKVIqz8LnPfY78/PyRHkYPfV6Ru7q6hmscQowZMc2gK66n1QJdv3UHlqIqpuY6MzzKlPrH4px57CqqksqBP9m61eN2UzlhAi69kW2Naqog/2lBkMuq0hrVKPdLHvJ41R5N9ro5D+Bge4xp+a7uNLDGxiZME4pLioETq2DyJV+MIXJFFmKQ9TYTd2j/HiZNq8Z+WktN3TCxqjLzIs6dqijkuaxEkz3TLObMqcHZdohQ0mB/a3otJadVpT2qYZjZlQMohk9jWMPdy2dQXDc52hFj1inpFTt37mDmzHf2U8R0k3zJPxZjiFyRhRhkzeFE2ma7htZ2Qh2dLKyenHZ8Kv/YKhthxaAodNuIaj0D3ZqaOQSP7APTYFOGcm+qomCYpAXWYnyIJg2iSaPX8mz72qJoOswueidA3r17d3d76RQzVUlFiDFCAmQhBtHJ8m6nb3R55e2tkF9JTbEn7TEx3ZD8YzFofA4LKD0D5KLCQnJ8HsqM9l7rIZum5CGPV10Jnb6+nu9oPNEgpDCVf5xIJjl44CAzZqQ26Bkn0nZkFUyMJfJuFmIQdZ0ol3V6ebcN23ZAYRUzT1mifIeC1y4BshgcbpuKTVXTyrbV1NRQEDrKzuZIj5bUJzmtCm3R9HbUYuxrDiVw9lLeDWBHc5Rir43AiUZGBw7sp7SsDLcrFTDHNINcl7U7712IsUACZCEGUXtMS9sAZZpweP8+KiZNxXfaEqR5Iuezt9w/IQZKURTyXZa0cm9z587FaDxAQoddzenl3lxWlbao3v2eFOODYZq0RLVeZ39102RnU4RJp2wuPrV7HkBUMyT/WIw5clUWYhA1hJJ47KflHzc2EsHGvEmlacfHdZMcpyVtxlmIc1HosRM/LQ+5qqoKNR5BiQbZ3JAeIFtUhYRhpAXWYmwLJVKrXr3N/u5tjRFKGlQXvNMgZNeu3cw8Ud4NUpMAPofkH4uxRQJkIQZJNGkQSaRvdNm8az96flWPDS6nPqZAGoSIQeaxq5in5SGrisLcObMpjdT2Wg8ZEyIJCZDHk2BUR+3jC/r64yEU6A6Qg8EgXZ2dTJgwATixCqYoeKRBiBhjJEAWYpB0xrXTezQAsGv/QSiY2KMD1UmGzLyIIeCyqjgsKtrpechz5uBuP8zelhjhDBUr7BaFtpg2XMMUWaAxnN7U6FQb6kPMKHB2r4zt3LWTGTNmdM84x3WTHIesgomxRwJkIQZJUziJ67Qax7FYjObGBvIrJlLkTc/RMzHTUjKEOFeKolDgtqWVbaueMQOtvR4jGWNbY3o1C5fVQktYNuqNF3HNIBTXcfQSIHfEdfa0xFhU6u2+bdeu3VSf0l46phlpTZGEGAvkyizEINANk5ZI+kaX/fv3k3AGmF0a6C6of1JCN3DbLb3WHhXiXOS7rCSMngGy0+mkZvpUrK1H2JohD9lmUYhpBnHJQx4XQgkds4+J3031YUxgcXkqQDZMk7179vTIP9YM8MsqmBiD5MosxCDoSqR2/5++0WXtxs0kcsqYXZhe/ziVfyw7v8XQ8DosmBmin/nz5hLoOsrOlvQAGUBByZh+IcaepnASh9p7GLC+LoTXrjI9P1XB4siRw+QEcgjk5JxylKyCibFJ3tVCDIK2SBLraTl4hmmyYdNWyJvA7GJX2mOSpkmuBMhiiDitKk6rQkLvGezW1NSgthxib0uEWIaZYosKQamHPOaZZmrVq7cSkyYmG+vCLCz1dJeu3LVrF7NOmT2WVTAxlsm7WohB0BBKpl1oDh48SNzqwun1MSngSH+QqeCWnd9iCBV70/OQA4EApUWFGK3H2dMSTXuMy6rSGpWNemNdOGmgZWhqdNKhYJy2mNYj/3jnzl1Un9JeOqbJKpgYuyRAFuIcRZI6MT1DebfNmwkFJjE135XWPEQzTOwWac0qhlbAaSVTOvGyxQugcT87MjQMcVhVuuIGSV3SLMayjpgG9N4UZv3xVCnAReWp9LBYLEZDfT1TpkzuPiZhyCqYGLvk6izEOeqM6Wkb8ExM3tq4ha7cydRkqH8c0wzy3HJhEUPL57BgZgiCliyaj7P1ANsbM+chgyl5yGNcYziJ29r7CtaGujCTAo7uOu1HDh9hypQp2KynVKyQVTAxhkmALMQ5agwncVl7Bsi1tbUE4zr4CphVmJ5/HNdNac0qhpzdouK1W9KqUpSUlBDwONm5/xB6htbSqqLQFdeHa5himCV1g2BUx2nNnF4R1Qx2NEVYVPbO5uKDhw4y85T0ClkFE2OdvLOFOAeaYdIW1XCdVkd0y5ataAVTqMp19roE6bXLzIsYeoUea1r7aAWFmjlziR3fy6H2eNpjXFaVlohs1BuruhIGipKql53JloYwmgmLy1L5xyYmhw8fZuasdzboySqYGOskQBbiHHTGdVKdVnteaDZs3ESDdyLnl3vTHmOYJqqCzLyIYRFw2siUTnzJskXQuJ/tTelpFk6rQjCmoxu956iK0as9mqSXyWMgVd7NaVWYdaL7Z0NDA6qiUlRU2H2MrIKJsU6u0EKcg7ZIktPj3MamJhqDXRg5JRkD5JhmkOuyptVMFmIoeO0qJqmyXqdaMGMKNlNjw74jaY9RFAUTiEge8phjmiaNoWSfucMb6sLMK/Fgt7xT3q1q0qQeey1MTFkFE2OaBMhCnCXTNGkKJ/GcdpHYtnUraslUvHYr1Rnyj6OaITMvYtjYLCp+h0pc7xkgq4pC5bRZ7Ny2LeNGPgWTUELKvY01HXGdmGZgs2T+gn68K0F9KNmjvNu2bdt7VK8wTBOLIvnHYmyTd7cQZymSNIhpRlqDkM2bN9PgmcjCMg/WTLPEZqq6gBDDpdhrJ5Kh3tvChfMJH9tDYyg9EHZaVFoiEiCPNXWdie6Z4UzWHw8DsPhEebdgMEjd8eNUVVV1HyOrYGI8kAD5LEh9UAEQjGlpucfBYJAjdY2EvGWcX+5Le4yZSliW0khiWPkdFswM+cQrF8yCaBdv7q9Lu89pVWmPammpGWL0SugGDaFkn6kRG+pDlHltlHntAKxfv5558+dhtb6z6iWrYGI8kAB5gJ566im+//Cf0GTzyrjXFE7iPr16xdatOEqngGph8Sklkk6K6yY+u5o26yzEUPLaLaAoacHupDwXttIprH17Y9pjLKqCbpqShzyGtEU0FOh15jehm2xpCLPwlM+ut99+m/POO6/HcaasgolxQALkAZo9ezZr3t5ER1RKII1nSd2gPaal1RHdtnUrHYEqqgucBJzpMywxzaDAY0u7XYihZFEVcp1WYlrPANmiKEyuns3+XdsyPs5EkYYhY8jRjjgee++X/R3NEeK62V3e7XhdHZFolClTpnYfc3IVzCOrYGKMkwB5gKZOnYrV4WTd1p0jPRQxgjrjOoqp9EixCIXD7D90mGO2Ms7LUL0CQDPA75ClSTH8Cj1WIlp684/z59UQam3keGsw7T6Hqkg95DEilNDpSug4rb1f9tcfD2FVYV5Jagb57bffZtGiRT1mnOO6SY7DgkVWwcQYJwHyACmKwoIFC3j+jQ2SmzeOtUQ0Tp9A2b59O97SSWC1cX5Z5gAZTDyy81uMAL/Dikl6UDO31A8FE3l+bXqahcum0iYb9caExlAC2xmC2g31YWqK3LisKoZpsmHDhrT0iphmUOCWVTAx9smVeoC2NIRxVs5g267dtHWlF9gXY193ebfTIuStW7cQy59ErtPKlHxn2uMSuoHTquLoYwZHiKHisatYlFSJrlNNy3ehlkxj/cbNaY+xqgoJ3SQqaRajmm6YHO9M4Otjc15LJMnhYLy7vNuBA/txu1yUl5X1PJeZ2vQpxFgnV+oB+tYrx3jqYJzKykpefuPNkR6OGAHhpEFSN3ssMcbicfbs2cshWzmLyz2oGWbqJP9YjCRVUchzWdOCXadVYWr1TI4fOUgsFkt/oGISSaanZojRoz2qoRlmn2kR6+t6lnfLtDkPUhMEfeUxCzFWyLt8gFZM8HM4GGfu3Lk8+/rbIz0cMQJS5d16zsLt3rULf3EFYewsyVDeDVI7xPMybNwTYrgUuK3E9PTUsLnlucS8pWzetj3tPruq0B6VNIvRrLYzgesMK1cb6kLku6xUBRwktSRbNm9h8eLFPY5J6AZuuwW7RUIHMfbJu3yALpiYCn4sRZM51NhCfWPTCI9IDLeGrkRaesXmLVugZBoWBeaXujM/UAG3zLyIEZTKQ04PkGcXuTFLpvGPN9PzkJ1WlWbJQx61IkmdtqiW1vHzVJppsqkhzKIyLwoKO7bvoLyinEAg0OO4mGZQIPWPxTghV+sBWlDiwWGBHW0JZs+ezd9efGWkhySGUVwz6Iz33AmuaRo7d+6g1llJTZEbb4byR7phYlPVM87iCDGU3DYVq6Kgn1bHfWaBCwons2vXLpJaz6oVdotKLKmTkAZJo1JzOH3F63R7W2OEEgaLSvtOr0gaJrkSIItxYkiv1sFgkBtvvJHq6mpmzpzJ2rVraWtr4/LLL+f/t3fncVLVZ6L/P6fq1Npb9d5Nd7M20EADDSJgxI1NokYniqLRSFyiSSbR8SZXzc1v7kxmJqPJ5JrkRr0ZE2MwiXsSNS644L6BgA00yL520/tee9U5398fBS1NL3T1vjzv14uXWF3n1Le+VFc99T3P93mmTp3KihUraGxsBGJ5TXfccQeFhYXMmTOHrVs7rmQMBzarhaIMF6VVfs6aP5833v9EqlmMId6wwenpxXv27iUlPYtjIVuX5d2CUZN0l7VD5z0hBpOmaWS4dQKntZ32OHUKslKJJmawZ/eezg7EG5YAeaQxlaK8OUSyvfugdnOFFw2Yl5uAz+9nz969lJSUdLifUtIFVIwdAxog33nnnaxatYrdu3ezbds2ZsyYwf3338+yZcvYt28fy5Yt4/777wfg1VdfZd++fezbt49HHnmEb3/72wM5tD6ZlZlAeUuYrNwCAlY3e/Z08oEiRqWq1jAOS/tfmx3bt+PMmwbAwq4CZEOR5pINemLoZSTYO81DLs5y0+qZFEsXOo1Vg5aQpFmMNM1Bg5BhYrN2/8V8a6WX6RlOkh1WSktLKSoqwuV0tbtP1FTYrRouKVMpxogBe6U3Nzfz3nvvccsttwBgt9vxeDy88MILrF27FoC1a9fy/PPPA/DCCy9w4403omkaixcvpqmpicrKyoEaXp/MzonlmO6qCzB73lm88vqGIR6RGAyhqEm1P0LiKXnEplJs276d2qQJZCfoFKTYuzw+UUojiWEg9vrtPA85lD6JzZ9twzBPr3Rhoc4nDUNGmuOtIRxn2FDXHDLYXRds657XVXpFyFCkuSW9QowdAxYgHzp0iMzMTG666SbmzZvHrbfeis/no7q6mtzcXABycnKorq4GoKKigoKCgrbj8/PzqaioGKjh9cmcbDeJdgulVT7ml5TwziefEg6Hh3pYYoDV+SNotO+ed/DgQRKSkvjc5+DsvNgGl9OZSqFpsfxPIYaaS7dgt1iInpaHXJzlBrcH05nEwYMH2v3MYdVoCZkdjhHDVyhqUu1r/4W+M59VnijvNi6RhsZGqiormTlzRof7hQ1Il/xjMYYM2Ks9Go2ydetWfv3rX7No0SLuvPPOtnSKkzRNizsn85FHHuGRRx4BoLa2ltra2j6N82QOdDz0UIT5qYrDVXU4C/MYN7WYd955h3nz5vVpLCNFb+ZspFNKsaM6iNWi0Rj64jW7ffs2sidNJ8nwU+JJorGp49zUNbWSiUZ9nXyJ6qmx+Brri3jnSw+HqWw22gVPdgVTXBGS8qexrXQbGRkZ7Y5pDpgcqQySPAoqsYyF11eVL0JzcxRrqPt/rx1H6pjgCJFpDbJp40ZK5s3D6/V2uJ+3tZVgi4PawMj/9x8MY+E11t+G25wNWICcn59Pfn4+ixYtAmD16tXcf//9ZGdnU1lZSW5uLpWVlWRlZQGQl5fHsWPH2o4vLy8nLy+vw3lvu+02brvtNgDmzp1LZmZmn8ca7zkcyVGm5EZ4r7oW05nItDnzef/Dd1m5cmWfxzJS9Me8jyQtoSg2r4/MUy4xKhTbSreReM5XaWl0sGDyOJx6xy98zUGDwnGZZKY4BnPII95Ye431VTzzpbkjBGp8pJ6WFz8uy8fO1vFYtr/KVauvandFxOqK4rPqTM5wj4rNpqP59aWUYn/QS34G3XbuVCg+qq1jTm4maaketmzdypprriHVk9rufqZSNAUNCnKzsIyCf/vBMppfYwNlOM3ZgH0VzMnJoaCgoG0D24YNG5g5cyaXX34569atA2DdunVcccUVAFx++eU8/vjjKKX45JNPSElJaUvFGG4SbFZmZcfykLdX+Zkxs5jtn+8fdt9+RP+pbI1w+sJZRXkFmqaxM5jA3OzEToNjAFNpJEn+sRhGEuxWlOr4ep2V6abBmoKpWTl69Fi7nyU7dGr9EaolF3nYaw0bBCLmGdvaH2wM0RiMclZuAhXlFYRCQSZPmdLhfoGISarTKsGxGFMGNKHo17/+Nddffz3hcJjJkyfz2GOPYZom11xzDY8++igTJkzgmWeeAeCSSy7hlVdeobCwELfbzWOPPTaQQ+sTq0VjerqLdJeV0iofS8YnMXPBYt5++22uvPLKoR6e6GcRw+R4a5hUZ8fmIBOLivnEG+WqGZ1Xr1BKgaa6LdIvxGBz6hp2a6we8qnth4uz3KBppE4sYtu2UiaMH9/uOI9DZ3ddgBSHLtUMhrGq1gg9+efZXBFLpThrXALvv/YOCxYs6DQIDhiKbKe8h4mxZUAD5JKSEjZv3tzh9g0bOlZ90DSNhx56aCCH06+yEmzMzHRTWu3HZdOYseBLvPncoxIgj0INgSigOnxwbNu2jayFq6CKLusfB6ImHocV3SIrL2L40DSNNJeVpqBB4ilf3iamOnDpGmHPFLaXrufyr1ze7jibVcMagb31AeZkj45Ui9EmaiqOt4ZJ6cFVq62VPiZ5HKQ6dTZv2cI//uN3urinIskhX4jE2CKv+F5KcliZmemmNWRwrCVC3oTJNHn9HDhw4MwHixHlaHOoQ2vp6poafD4vB1Qq41Ps5CR2XuPYH1FkumTlRQw/aS4bwWj7qhS6pjEj081R5SEYClFVVdXhuBSnTp0vQpVXUi2GowZ/BJP2VwY644+a7KzxsyAvkX379pGYmEhuTse0xoihcFqlC6gYe+QV30sJNguzsmKF1EsrfWgWC4svWM6bb745xCMT/ckbNmg9rbU0xJqDzJg1m7KaYJfNQQDQZOVFDE9d1eWeleXicHOEolnFnTYNAUh1xVIt/BFjIIcoeuFYS4gE/cxfyrdV+YgqOCs3ocvaxwC+iEF2FwsAQoxm8sndSzarhQkeB3lJNkqrfLisGjPP/hJvv/020ah0nBotqr3hTtMjSrdtwz5uGlEFZ4/rPEAOG6asvIhhy22zYLHEKhScalZmbANyQv50dmzf3umxukXDZoG9dYFYnr0YFnxhg+aQ0aP88C0VXpy6xlSPzo7t2znrrLM6vV/URLqAijFJPrn7IMOtMzPTRVmNH5tVQ09OJysnly1btgz10EQ/MExFRUuYpNM22DU1NVFbU0OFnoVbtzAry93p8f6I2WXqhRBDzaJpeBw6odPSLIoyXFg1aHRnU19fT0MX1XmSHTr1foNKr9T3Hi5qfOEeVZpQKDZXeinJSWDP5zspKCjAk5LS8X4nmhxJFR4xFkmA3AcpzthGvWBUsbchiDIV5y1dwRtvvDHUQxP9oCkYJWrSIZdv+47tzJw1iy3VQeaPS+hyA55hKtLcEiCL4SvdrRMwOraVLkxzsqsuRHFxMdu7SLMASHVZY6kWYUm1GGqGqShviZDcg4o5Fa0RqrxRzspNZPPmzSxYsKDT+wWiJqlOXTYZizFJAuQ+SLRbmHnicmRppQ+rRWPGvEVs3bqV1tbWIR6d6KtjLWFcndQ23r5tO5mTi6gPRLvMPzaVQrNoHVafhRhOkhzWTlMkZmW62VMXYObsOV3mIUMs1cJhsbCnPtAhVUMMrqZglIihehTMnizvNtMDe/fuo6SkpNP7BaKK7ERpLy3GJgmQ+8ButZCZaGNKqoNtVT7cNgtezc6CBQt49913h3p4og/8EYMGf7RD/WKf38/hI0doSMgHYEEXAbI/YpLp0s+4k1yIoZRgs3TeMCTbTcQEa9ZEKioqaPV2/YU/yWGlIRDleIukWgylipZwl82KTrfluI+8JBuV+3Yyc+YMnE5nF/dUJDskQBZjkwTIfZThiuUhf14XwFTgD5ucd5FUsxjpan1RNK3jitiOHTuYPm0aW6pDTE1zkubs/MMjGDXJSrQP9DCF6BOb1UKi3UIo2j7NYlZmrELPnoYwRUVF7Nixo9vzpDl19tVLqsVQCUZN6vwREnqwOS9kKLZX+zhrXGK31SuipsJmseCWhjBijJJXfh+lunRmZLqJmlBW60cDps6aQ3V1NeXl5UM9PNELplKUN4dItncMfrdv38bUmbPZXRfssjkIxBoxyMYWMRKku3WCpwXIHqdOXpKNnbUB5s6dy/ZtnVezOMlq0bBbLeyuk1SLoVDni6BpWo8at+ys9RMyFNNcYaqrq5lRNKPT+/kjBlmJNmkGI8YsCZD7KMFupSjdia5BaaUfp65RHzBYunSpbNYboZqDBiHDxGZt/8EQDAbZu3cfgbQJKOgy/zgUNUm0WzrUThZiOPI4daKd5SFnJbCrxs+MmTPZv38/wWCw2/MkOaw0BSXVYrAppTjaHCLJ3rP3m80VXnQLBI/tpGTePHS986tgEQPSXZJeIcYu+QTvI6duIdmpMy3DybYqHy6bhdpAlIuWLWPDhg2Ypnnmk4hh5XhLCIe146/GRx9/RFFREdvqTVIcVqZldJ6354ua5Eh6hRgh3DYrdJaHnOmiNWxSF7IwecpkynbuPOO5Up06e+sD+CTVYtC0hAwCURN7J+9ZpzOU4r3DLZRkuyndsoWFCxd2ej+lFEpTchVMjGkSIPeDdLeNWZlu9jUE8UVMTFOROW48KSkpbOtmB7gYfkJRk2pfhMTTVmMi0QhvvfU2K1auZMtxL2ePS8RC55ceTRVblRNiJHDZLNh1jah5WsOQ7FiFnp21fubOLWH79jO/l1ktGk7dwud1fkm1GCQVLWEc1p5uzvNSF4iyINFPJBJh0qSJnd4vZChSHHqPgm4hRit59feDdJdOUUZsU8v2aj9WTaMpaLB8+XJJsxhh6vyd5/Jt3LiJceNy8TozaA2bXVavMMxYmaWEHl7uFGI4SHPpBCLtr3blJdnwOK3srAkwe/Zsdu/ejdfnO+O5Eu1WWkIGFZJqMeC84Vijlp6Wk1y/v4kUh5VI+eecffbZaF18yZf20kJIgNwv3HYLU9KcOKwan1V6cdssVHnDXHTRRWzcuBG/3z/UQxQ9EMvlC3fI5TNMkzffeIOVKy/m0wovFmDBuIROz+GPmGS5bT3qZiXEcJHuthE6bQVZQ2NWpoudtT6Sk5IoKSnh7bff6tH5Uh06e+sCeCXVYkAdbgrisPZsc15jMMrGci9LJyVRunULC7qoXgGglEaKlHcTY5wEyP3ApVtw2awUZ7rYVuXHoVvwhU2cicnMnj2b999/f6iHKHqgq1y+z7ZuxePxUDhlCpsqWpmZ5SKxixWbkGGSmSAfLGJkSbB1njBUnJ1AlTdKnT/CypUX88H7H/RoFdlq0XDbLHxe48cwJdViIHjDBtXeSI9Xj9880IyhYDq1pHhSyMnO7vR+hqnQrXIVTAj5DegHmqaR7rIyM8vNsZYwdYEIoGgNxdIspCbyyFDpDXP6Z4KpFK+9/jorL76YOn+Eg40hzh7XeXqFUgo0ZGOLGHFcNgsWjQ55wyfrIe+sCZCRns7ckrk9XkVOsFtpjUiqxUA51BDEabX0aPVYoXjtQBMzMpwc3LGZhQsXdXlff8Qk063LVTAx5kmA3E/S3TaKMmKbWrZV+XHqFmp9YRYuXMiRI0eoqKgY4hGK7kQMk8rWSIeV4Z07y9B1nRkzivj4WKw966L8pE7PEYwqPE7Z2CJGHoum4XF2rIc8Oc2JU9fYWRtLE4tnFRliqRb7G6SqRX9rCUWp9nfcTNyVnTUBylvCXJCrs3v3bhYt6rx6BUDINMl0S/6xEPJJ3k8S7VYKPHaS7BY+q/Th0i3U+qPoNhtXXHEFjz766FAPUXSjIRBFKdVu1USheG39a1y8ciUaGuv3NzE51cEET+cl3PxRk+wE+WARI1O6WydwWoCsaxpFGS521gQAyEhPp2Rez3ORT1a12CMNRPrVocYQrh6uHkNsc55T17AeL6OkpASX09X1nZVcBRMCJEDuN26bBbtFY06Wm21VPiyWWLkvb9jg6quv5tChQ2zatGmohym6cLQ51GH1eM+evQSDQebMncu++gAHGoN8uTC1y53fSikp7yZGrCS7FTqJYWdlujnYGCthCbBixcq4VpET7VYapYFIv2kORqn1RXocxPoiJu8faeHCCUl8+snHLFlyXpf3DUVNkhxWHNLkSAgJkPuLpmmkuXRmZbup9Uc53hpB02Jd2ex2O9/5znd4+OGHCYVCQz1UcRpv2KAlZHTofPfG66+zfMUKLJrGq/ubsFs1Lpqc3Ok5IobCqVtw2+RXSoxMCXYrCi2WS3+KWdluFPB5XSzNIt5VZDjRQKQhgD8iqRZ9dagxGNf7zLuHmwkZiqlmJUmJSYwvKOjyvr6oSVaCNDkSAiRA7lfpbp1p6bFLV6VVPhL0WLk3gLPPPpspU6bw7LPPDuUQRSeqvWFslvarwocOH6K2rpYFCxYQiJq8faiZ8yckk2jrfNXmZN3Qnl7yFGK40S0aSQ4LYaN9gFyU4cIC7KwOtN3Wlovs9fb43A6Lhb11gQ4BuOi5pmCUukC0yyo6nVm/v4mJHgdHt3/KkvOWdHtf01SkuiS9QgiQALlfJdp1shNtZLh0Sqt8OHQLrSGD0Im8vm9961u8+OKLsmFvGDFMRUVLx0L7r7/+BsuWLUe3Wnn3cAuBqGLVVE+X54maijSX5B+LkS3d1TEP2a1bmJzmZFftF/Xc09PSmDdvHm/FsYqc5LBS749S5Y3023jHmkONQRLiSH842BRkb32QJRkmR44cYf78s7q8r2EqrBYtruBbiNFMAuR+lGC3YLVozM12s63Kj4lC06A1FLusmJmZydVXX83DDz8sqyjDRFMwSvTEB8NJFcePc+TIYc455xwA1u9vpCDZ3lby6nTmic19srFFjHQpTh3D7Hh7cZaLz+sC7dpRr1i5kg8/+LDHq8gQa8G+pz7QoWufOLPGQJR6f5SEOALY1/Y3oVvAXrmTsxcuxGHvOn0iEDXJcEl5NyFOkgC5H1k0DY9DZ1a2i5aQwaHGEHaLhRr/FysmX/3qV6mrq+PDDz8cwpGKk441h3F1knu89KKl2G02DjeF2F0XZNVUT5eb8wIRk3S3jm6RDxYxssXykDsqzkogbCg+ONradltvVpFtVg2LBvsbJNUiHkopDjYGSIgj9zhkKDYcbGbxODeffbqRc889t/v7RxVZiZJ/LMRJEiD3s4wEnalpX+Qhu20W6vzRthJHuq7zj//4j/z3f/+3tKAeYv6IQX2g/YpMTW0tu3fvZsmSWK7e+v2N6BZYNimly/MEDEWWlHcTo4BTt+DUNSKn5SEvLkikMM3JbzZX0Rz6YqNdr1aRHTo13gi1Pkm16KnGoEFT0Ihr9fjjY614wyaF0XJyc3O67Jx3kgmSXiHEKSRA7mdJditpLp28JBvbqvxYLRpRU+ELf3FJcc6cOcyePZsnnnhiCEcqjjWHOD2db8OGN1ly3nk4nc62FZgvFSR1W75NU5DskPJuYnRIc9k6NAzRNY27zsmlNWTw2y3VbbefXEXe8FbPV5EBUpxWdtcF2vZniK4ppTjQEN/qMcS+3Gcn6FTt3Nz2hb8rYcPEbbPgkio8QrSR34Z+lmC3gqZRku1me7WPqKnQUDQFo+3ud+utt/L6669z5MiRIRrp2OYLG5S3RPCckjfc1NRE6WelXHjBBQB8eKyF1rDJl6emdnmesGHitssHixg90t06IbNj+sOUVCdXz8rgzYPNbK78YsV4xcqVfPRhfKvIdqsFBRxoCPbHkEe1hkCUlqCBu4sKOp2p8kYorfJzTmqYmppq5sye0+39/RGTnET5ki/EqeRTvZ/pFo1kh5VZ2QkEo4o99UGS7FYONQbbrcqkpaVxww038OCDD0ou3hA42BDEadXalWXb8NZbLFy0iMTERADW72siJ1Fnbo67y/P4wiY5krcnRhG3zYLWaSYyXDc7g/xkO//3k8q2ahe9XUX2OKwcbw1T55MGIl2JrR4H4059eG1/EwDO42Wcc8456Hr3wW/UVKRKFR4h2pEAeQBkuG1MSXMCUFrlxW61YLHArho/xikrM5dddhl+v5+34vxgEX3TFIxS7W/ficrr9bJp40aWLV0KQHlrmO3VflYVpmLpYnMegKGkbqgYXdw2C1ZNa/dedZLDqvFPi3Op8UVZV1rTdvvKiy+OexVZ0zRSHFZ21wUJd1Y6Q9AQiOING3FdoTKU4o0DTczPtPH5tq2ce+4Zah+frMIj+cdCtCMB8gBIcVpJtFmZkupkW1VsI16yXac5aHCw8YtLihaLhe9973s8+uijcX2wiN5TSrG/IdChlug777xDybwSPB4PEFuBsQArpnS9OU/qhorRSNM0PC69Qx7yScVZbi6b5uH53Y3sqos1D0lLTWXe/Pm8uWFDXI/l0C1ETcWhRkm1OJ2pFPt7sXq85biXukCUKaGjTJ4yhbTUrlPEIFaFJ82ttyt1KYSQAHlAJNgsKE1RkuNmV62/7YMmzWXlSFOorbseQFFREYsXL2bdunVDNdwxpd4fofm03eDBYJAPPviA5cuXA7HLjW8caGJhfiLp3Vx29EdMMt1SN1SMPukunWA3q7o3z88mw63zy4+Pt3XeW7lyJR9/9BGt3tYuj+tMqtPKseYwjYHome88htT7I/jCBs44GoNArHNeisNK7e7NZyztBhA0FFluSa8Q4nQSIA8Am9VCos1KcZaLqAk7T3Sg0jSNNJfOrhp/W/MQgG984xu8//777Nu3b6iGPCYYpmLviZzwU73/wfsUzZhBZkYmAJ+Ue2kKGqwq9HR7vpBpkpUg+cdi9ElyWOkiDRmIdde7Y1EOR5vDPFVWB3yxirxhQ3wpY5oW27fxea2/XSOSsSy2ehyKe/W4MRhlY7mXsxO9BHw+Zs6cecZjFIpkaXIkRAcSIA+QDLfOpFQnVg1Kq76od6xbNBJsVnZU+9pKHCUnJ3PTTTfx0EMPYZqSizdQqn1hAlGz3YpMOBLhrbfeZsWKFW23rd/XSIZLZ0FeYvcnVEj3PDEquW2xajzdbSBemJfERROTeaasjsNNIQAuvrh3q8hO3ULIUByWVAsA6nwR/GEz7tXjNw80YyhwHS/j3CXnnvHqVsRQOK0W3JImJkQHEiAPEI/Lhs1ioSjDxbYqX7ufuWyxvLs9dYG2BiIrVqxA0zRee+21oRjuqBcxTA40hPCcVq/4448/ZuLEieSNGwdAtTfC5kofK6Z40Lv5cAlGTZIdVhxxfoAJMRLoFo0keyxo7c7tC7Jx26384uPjsQ2rnhOryG/Gl4sMsVSLI00hmoNjO9XiZO5xsiO+9xaF4rUDTRSlwJG9ZSxefM4Zj/FHDLITJb1CiM7Ip/sASbBZUChKchLYVx/EGzba/dzj1Kn1R9pWTCwWC9/97ndZt24dzc3NQzHkUe14a4SoqbBZvwh6o4bBhg1vsnLlF6vHrx9oAjhjeoUvYpCTJOkVYvTKSOjYMOR0HqfOt8/OZk99kBd2NwAnVpE//jjuVWSLFtvwurPGP6YbiNT6IgSiZtxfvnfWBChvCTPJd5AZRTNITko64zEREynvJkQXJEAeIA7dgstmpTjLjQK2VXdsK53u0jnYGGqrAzplyhQuvPBCfv/73w/yaEe3YNTkYGOwXVMQgM2ffkpmRiaTJk4CYuWRXjvQxFm5CWdcVVHQbXc9IUa6ZIdOT+LUCycmszAvkXWltVR6I6R6Upl/1lm9WkV22SwYSrGtyjcmg2TDjNU9TulF6tb6/U04dWjct5Ul53Vf2g1oS59JsksYIERn5DdjAGW6dcZ7HCTZLfzt83rM03a9WDQNj9PKjpoAvhMrzDfeeCObN29m165dQzHkUeloUwhNo10Zo2g0yutvvM6KlSvbbtty3EudP3rG1eOoqbBbLHG3fhViJIm9vs+8aU5D47sLc7Bo8KtPjqNQrFy5oleryAApjlgFje1VvjFRH1kpRWvI4EhTiE0VXkKGid0a33uLN2Lw/pEW5jsasVmtFBYWnvGYYDRWw90W52MJMVbIb8YASnXpKBS3zM+mrCbQ1t3oVHarBadVY0e1n4hh4na7+eY3v8mDDz4oG/b6QayldLjD6vGGt94iOzuHounT2257dV+sPNLigu4vTfrCsbw9Tcq7iVHMoVtw6hYiZ8hDBshKsHHL/GxKq/y8vr+5T6vIAB6Hjj9qsr3aR2QUBslRU9EQiLKnLsAHR1v59LiXw01BbBa6LS3ZlXcPtxAyFO7jZZx77rlo3TQ3OskfNclKkPQKIboiAfIActusoDQuLkxhTrabR7fU0NDJBpQEu5Vg1GRPfQClFBdccAEul4s333xzCEY9uhxqCmK30m43d119PW+/9RZXXXVV2231gQgby72smJKC7QwF8yMmpEvdUDEGpLvPnId80iXTPBRnufjtlmoaglEuXhnLRW5uaenVY6c6dXxh1bZ4MNIFoybV3jA7qn28f6SFbVU+an1hEm0WMlw6qU497pXjk17b38R4Z4TqI/tZtGhhj45RKEkTE6IbEiAPIJfNglPXMEy4Y1EuIcPkN59WdXrfNJdOdWuEYy1hNE3jlltu4Y9//COhUGiQRz16NAejVLVGOtQ9/utf/8KFF15IRnp6221vHGjGBFYVdt91SimFpiF1Q8WYkObS2xqBnIkFjX9aPI6QYfLwxio8Hg9nL1zIG2+80evHT3VaaQkZ7KwZmTWSfWGD8uYQn1a08tHRVnbVBPCGDFKdVtJdOsmOvnewO9gUZG99kMne/cybV4LL6TrjMVFTYbNYcEuamBBdkt+OAZbmshGImOQn27ludgbvHWllY3nneXlpLp29dQEaAlFmzpzJ1KlTefHFFwd5xKNDW0tpm6VdKkRZWRlVVVUsW76s7TYTxWv7m5id5SI/ufvKFIGoSZpLR5e2rGIMOFmNp6fyk+1cPyeTD4618sHRVlasWMGnmzbR1NTU6zGkuXQagwZl1b4RFSQfbw2xsdzLvoYASsVq46e7dRLs1n7tvvna/iZ0TdG8/zOWLDmvR8f4IwZZCZImJkR3JEAeYOnuL1Zgrp6VwfgUOw9uqiLQyWVLq0UjxRFrIuKPGNx88808++yztLbGv9FlrGsIRGkKtG8pHQqHefbZZ7nm6muw6V+kSGyv8lPpjbBqaverxwD+qCJb8vbEGOGyWdAtGkYcgenqmelMTnXw0KYqLM4EzjnnHNb3sb57+okgeVeNP66xDJUab5hdtQE8TivpLlvcDT96KmQoNhxsplirJi0lmfEFBT06LmwoMtySXiFEdyRAHmAJNgtosTd0m0XjzsXjqPVHeby0ttP7O3QLuqaxs9pPzrg8lixZwtNPPz2YQx7xTHWipfRpaRBvvP46EyZOoKioqN3tr+5vItFm4dyC5G7Pq5QCpfC45INFjA2appHm0nuchwyxJiN3nZNLczDK77bWsHzFCj7bupW6+vo+jSXdpVMXiLKrdngHyfW+CDtq/KQ6Bv5K0wdHW/CGTdyVZT0q7QYn3sc06QIqxJlIgDzAYiswlrY39FmZLi6b6uH53Q3srQ90ekySw4ovarKnLsB1X/sar732GjU1NYM57BGt2hvBHzHardpU19TwwQcfcOVXr2x336ZglA+PtrB0cgpOvfsPM2/YJDtx4FaDhBiO0lyxsmvxmJrm4sqZ6by2v4kDrXDe+eezfv36Po8lw6VT64uw+5QupMNJYyBKaZWPFIe1XVOigRBViie215KvB/DVlDN//lk9Os4bNsl223q9IVCIsUJ+QwaYpmmku6ztUiq+MT+LVKfOLz+pJNrFm3yaU6faF6Zeubn00st4/PHHB2vII1rUjLVpPbXQvkLx7DPPsPLilXg8nnb3f+tQM1ETvjy1/e2dCRkm45Ic/TxiIYa3RIcVelA27HQ3zMkgJ1Hn/26sZMkFF1K2YwfV/fBFP8Nto8obHnZBcnMwSmmll2SHdVCCz7cONlPRGqE4vJ+zFy7EYe9ZZ8+QYTIuWd7HhDgTCZAHQZrLRjD6xRt5os3KdxbmcLAxxPOfN3R5XLpTp6IlzIIVl/Pp5s0cPHhwMIY7oh1vDRMxVbsPqM8++4zmlhbOP/+CdvdVKF7d10RRhpNJHme35w0bJk7dgscplyXF2JJgs6L4ovNaTzl1C99dlEtFa4S/H/Bz4UUX8eqrr/bLmDJcOpWtYfYOkyC5NWTwWZWPBLs17hbRvRExFX/eXkuhR6d6dylLlvQsvSJiKBxWCynyPibEGUmAPAhOlgQ79QPm3PGJLM5P5PFttVR5I50ep2ka6W6dqqDG8iuvlxbUZxA60VI69ZTV42AwyF//+jfWrFmDbm3/obCrNsixljAXn6FzHkBr2GR8ikN2fYsx5+Tm4VAPy72dakFuIhdOTObpnXUUzjuHPXv2cLyyss9j0jSNDJdORWuYfSfqxw8VX9jgs0ovLqtl0NKvXtvfRLUvyrT6z5g0aSI52dk9Oq41bFCQ4ujXKhpCjFYSIA8Ct91KTqKN5pDRdpuGxj+eaM/64MbKLkspWTSNdJdOQck57K1sZNu2bYM17BHnWHOsZvSpdUVfXf8q06dPo3DKlA73f3VfI05d48KJKd2e9+TmvAypXiHGqIw4Goac7lsLsnHqFn5T2sCyZct45eWX+2VMJ4Pk8uZYxQhv2DjzQf3MHzH4rNKHzaLhGqSawiFD8dSOOiZGjlOzfwfXXXddj45TSmEqyEiQTcZC9IQEyINkosdB1FTtLgdmum3cVJLN5kof7xzuutuU1aKRnejknK+s4cHH/jykqyXDjakUjYEoZdU+DjWF2rWUrjh+nI2fbOSKK/6hw3HNIYP3j7Rw4cQUXGdY9fGGYy1ZZXOeGKuSHVZ6sYAMgMepc+v8LMpqAgTzZnPo0CGOHjvWL+PSNI0Mt06DP8LG8lbKqn20hDp2Kx0IgYhJaaUPi0a7cpID7dV9jdQ1NKKXvcbatTeSlJjUo+P8EZM0tx7r8CqEOCP5xB8kbruV/GRHu1VkgMumeyjKcPKbT6tpCXW9AmK1aJx39jwabWn8/c33Bnq4w14wanKsOcQnx1r5rNJLc9Agy623XTo8uTHv0ssuJTmp4wfIkztqCRuKfyhKO+NjhWVTixjj3DYL9OGL+cWFsTbUf9jeyJKLlvfbKjLEguQUp06GS6c5aPBphZfSKh9NweiALSaEoibbqnwoBYmDGBwHoyZPbq8mbe/rXLriIqYWTu3xsYGoouAMjZCEEF+QAHkQjfc4MJRqV8PTqmncsTgXb9jgd1u73+Ftt1q48pIVPPLCBuq8wYEe7rBz6mrxx0db2N8QxG7VyHDbSHJY2+UHb9r0KZFIhHPP7bh5pbw1zN/3NHJxoYeJnu4D37Bh4tBlU4sY2xy6BafNSjjOcm8naWjcsSiXYMSk1DaZiuPHOXT4UL+OUdM0khxWMt02AmGDLcd9bK300hDo30A5bJhsr/IRNs1BryX84p4Gmnd+xPQsNxdfvKrHxxmmQrdqeJySXiFET0mAPIicuoWJKR1XkSd7nKyelc7rB5oorfJ1e47iGUVkpybz2xffHbRLiUMtGDUpP221OM2lk+7SOy2n5PP7eeGF57lmzZpON6P8YWsNNqvGjSWZZ3zsk5vzZFOLGOsy3DqBSO8CZIDxKQ6uKc7g3WN+pi68gJdf6r9V5NMl2K1kunUihqK00sunFV7q/ZE+V7yImoqyaj/+qInHMbjBpi9i8tQ7W0mu2cmdt90S13tSS9ggP8nWbn+GEKJ7EiAPsvwUB5oWe6M91XXFmeQm2vj1xsoz7ha/6oqv8N5br/PJ4QZ8Q7AxZTCcvlq8r5vV4tO99NJLzJkzlwnjx3f4WVmNnw+OtXL1rHTSzrCaopRCyeY8IQDISbQTPm0fRbzWFGeQl2RjQyif6tpa9u3f148j7Mhts5Lhjv3+bqvysbHcS4033KvnYJjqRI6zQeoQrMQ+teUI/i2vcOs31uJJ6X5j8ekMpchOlPQKIeIhAfIgs1stTE510nTaKrJT1/je4ljN0Kd21HV7jvz8fGZOK+TjD97js0of/sjoCpLDhsnWSi+lPVgtPt2Ro0cpLS3lK1/5SoefKRS/3VJNukvnqhnpZzyXLyKb84Q4KclhZaLHQWOw9+83Dmss1aI6YOIoOpeXX3q5ywo+/cmpW8hw27BqsKPGz+aqIDtrfOys8VFW3fmfHaf92VrppfHE+9FgawpG+NtTf2ZS8XxWLpob17GBiEmKwzqoGwmFGA3kk38I5CbZsVk0IqetFM/PSWD5pBSe2VnH4aZQt+e49NJL+eS9d/B6Wymt9PW6BNNwEzFMtlf78IdN0nuwWnwqUymeefpprrj8chLc7g4/f/dwK3vqg9w4N7NHQW8wapInm/OEaDM+xYHdohHqw/vN3JwEVkxJ4UMjj6qGZvbs3tOPI+yeU7eQ6bbhsGq0BA1aggatoS/+eMNf/PGd9kcpSB+C4BjggT++QDQS5vtrV8d9rC9qUCDvY0LEbUAD5IkTJzJ79mxKSkpYsGABAA0NDaxYsYKpU6eyYsUKGhsbgdjl7DvuuIPCwkLmzJnD1q1bB3JoQ0q3aExJc9Ac7phDfOtZWbjtVn75yXHMblZWMtLTWbhoEe+9+RomKrZppJcbaIaLqKkoq/HjC6tebSb56MMPsepWFi5a1OFnIUPx2GfVTPI4WD7lzJcnT3bOk815QnzBZrUwPcNJSx9Tu26dn02Sw0bduLP5+9//PiiryKeyWTUS7NYOf9y2rv8M1ZWk0l17+fTj91n8lesoTO/4xb87hqmwoJHmljQxIeI14L/xb7/9NqWlpWzevBmA+++/n2XLlrFv3z6WLVvG/fffD8Crr77Kvn372LdvH4888gjf/va3B3poQyo7wY7TaukQ1HqcOreflc3uuiDPlNV3e46LL76Y0s8+I9DUQDBqsqPaP2KDZMNU7Krx0xQ0SO1FUNrS2spLL7/MNdd0vjHv73saqPZF+eaCbKw9WJH2hk3pOCVEJzIS7GQl2GgO9n6TcIrDyu0LsilPmMCRRj87y3b24whHD6/Pxy//+3eo4uXc8qWOzY7OpDVskJdsR5fNeULEbdC/Er/wwgusXbsWgLVr1/L888+33X7jjTeiaRqLFy+mqamJyn5oSTpcWS0ahWlOmoMdA9plk5O5cGIy60pr2dZNVYvEhAQuWrqUv//973icOr6wyZbjvhG3cc9Uis/r/NQFor26hFlXV8ejv/sdCxeeTX5eXoefN4cMntxRx9njEpmfk3DG88U6TikyZXOeEJ0qTHMRVbQrWRmvpZOSmZebxLHMs/jLCy/2ucLEaKNQ/O4P66hNmsTyxWf1qoZxxFTkyOY8IXplQBOqNE1j5cqVaJrG7bffzm233UZ1dTW5ubkA5OTkUF1dDUBFRQUFBQVtx+bn51NRUdF235MeeeQRHnnkEQBqa2upra3t0xhPpngMBaUU0UCQygAdLt99o8hFbX0Dv/lgP/cuySO5i1XVefPmsWXLZnbu2sW4cbk0RUzeqGukKM1Guntg/nn7c85MpdjfFKHGFyXNZaWx+9TrdpSCLVs28/HHH7Nw4SLOPvtsGps6ju25nfW4DR/XTU3t9Oen80VMEm0WWhsjtMbzZLowlK+xkUrmLD5DMV9pKsKB6gjprt6nId08w8VP6sZR9/lONm3cyPSi6f04wq61tPTHb/bA2rx5M0frvaQVLeWKCbYevXedKmQolIJgS4T+qJovv5PxkfmK33CbswENkD/44APy8vKoqalhxYoVFBUVtfu5pmk93oB10m233cZtt90GwNy5c8nMPHMt2zPpj3P01oLECKWVPlI7Wa383gUJ3PHqIR7a4eO+5eO7TA248MILeeONN7jzzjtIRSNsmJQHDexWBxNTnQOSJtAfc6aUYm99gKAeZnKOHtdrobKqkj//+Ql0Xef2279FdlZWp/crbw3z/OEqVk7JZWZB5/c5neGPUJyb2K+71YfyNTZSyZzFZ7DnKz1DEarwYirV6/bFqR5YVazxh8rZPPPSa/x80aJBS2tK9aQOyuP0xuEjR1j/+pvsmfpVVhbmMTUv/n/ben+UGZkuMpP6bwVZfifjI/MVv+E0ZwOaYpF34nJ3VlYWX/3qV9m0aRPZ2dltqROVlZVknQhs8vLyOHbsWNux5eXlbcePZmkunRSXtdO0iIkeB3csymF7tZ8/buu69NuiRYvxer1teXx2q4UMt86hphBlwzQvWSnFwYYg5c0RMlw9D46j0Sivrn+VX/3yVyxevJg77rijy+AY4Pdbq7FZNb7eg6YgABFD4bBa8MjmPCG6ZdE0ijJd+MJmn9IjVs9MZ0LhdA60Kj7a+Gk/jnBk8gcCPPb73+MqWYmWkMJ1szPiPoepYtse0wboKqIQY8GABcg+n4/W1ta2v7/++usUFxdz+eWXs27dOgDWrVvHFVdcAcDll1/O448/jlKKTz75hJSUlA7pFaORpmkUprnwRzv/gFk+2cOqQg9PldXxaYW30/tYLRa++tWv8ucnnmBH2Q4g9uGV6bbRGIyyucKLd5jlJR9uCnG4OUS6u+dl3I4cPcpPf/Yzjhw+wr333suSc8/tdrWprMbPR8e8XNODpiAntYYNxntkc54QPZHs0BnvcdDUh9rIukXjznPGEZp0Dr975nkMc/h9oR8sCsUTTzxBQeF0tprjuHRaKlm92AvhDRvkJtl6VDteCNG5Afvtqa6uZsmSJcydO5eFCxdy6aWXsmrVKu69917eeOMNpk6dyptvvsm9994LwCWXXMLkyZMpLCzkm9/8Jg8//PBADW3Y8Th1Mtx6l0HstxbkMMnj4GcfVlDti3R6n1kzZ3LLLbfw3LPP8cSTTxAMxrLOUp06GvBpeSs13vBAPYW4HG0KcaAhSLpL71EgGgqH+dvzf+M3v/kNF69cye3fuh2Px9PtMSaKR7ZUk+HSubIHTUHgi815GVISSYgem+BxYLVofbpSNTPDxWXnzKEq4uSxp/86ZjfsffDBB9TV1lI34Vx0q8aa4vhXjyGWfzyuH1MrhBiLBuz6y+TJk9m2bVuH29PT09mwYUOH2zVN46GHHhqo4Qx7k1IdbKrwkmCzdFhRdeoaP7ogn++9fJD73i/nv1ZOxNZJ2Z7CKVP44Q9/yHN/+Qv3//Sn3HjjjUyeNIkEuxW71cK2aj+TwwaTBigvuSfKm0PsqQ+Q0cPgeO++fTzxxBNMnDCB//W/fkhSYlKPHufdwy3srQ/y/XNye1y/1BcxyUyw4bLJqosQPWW3WijKcLK9yk9mQu9/d74xL4sP9l3GS5+8iL+pnttuWovT6ezHkQ5fplK8/vrrvPvuu1xz83f44SetrJ6Z1uMrX6cKGyYu3UKyQ9LEhOgLiQSGiWSHTk6ijdYuVpHzk+z8j3PGsbsuyKNbq7s8j9Pp5Ibrr+cfrriC3/72t7z08stEDQObVSPTrXO4KcT2Kl+fOmH1VmVrmN11seDYeoa6nIFggKeeeorHH3+cq666km984xs9Do5jTUFqmJzqYFkPmoKcJJ3zhOidDLeNjAQbLaHe10ZOtFv511UzUAuv5qNqg/t/9jOqa2r6cZTDU0trKw8//DCf79rFPXffzcvHY4siq2f27MpXh/OFTCZ4HHFvgBdCtCcB8jAyyeMkZMQu9XfmvAnJXFGUyvO7G/ngaPdlikpKSrjnnns4evQIv3jgAapratrykltCBluOe2kNDV5eco03zM4aP2k9CI53797NT37ynwD86Ef/i9nFs+N6rBd3N1Dji3LbWdlY6NmHhGzOE6L3NE1jarqTiKH6VBu5KMPFvyybiHfaRZSnz+aBB37Rtq9iNNq3fx8/+9nPGD++gDvuvJM65eSDo618tSi9V91EY58dinRJExOizyRAHkYS7Fbykm00dxO43jo/m6IMJw98dJyK1u5zij0pKXz7299m0eJF/OKBB3jv/fdQxNo4WzTYXNFKVWsYf8To95w/pRT+iEFDIMqx5hA7avykOvVuOzoZpsnfX/o7f/rTn7jhhhu49tprcTldcT1uUzDKU2V1LMxLpKQHTUFOks15QvSN22alMN1FYx867AHMz0ng3iX5VKQUES75Ck899TSvvPrKqMpLNpVi/fr1/P73j3Hddddx+Vcux2LReLy0lkSbhatmpvXqvL6ISVaCbcjaYgsxmkgNmGFmQoqTypYwhqk6XWm1WTR+eF4+3335ID95r5wHLp6EU+86qNPQOP+885k+vYjH162jrKyM66+/gZTkZGwWC7tq/cRiQg2XzUKy3UKSQ8dts+DQLTisGrYz7IQOGybBqEkwqmgJRmkKRvFGYqWfNKWhaeBx6NisXY+zqamJP/zhD+i6zt333ENyUs/SKU73xI46AhGTW+b1rOYxxIJ5w5TNeUL01bgkOxUtYQIRs0+5/EvGJ3Hn4hx++Qmcc94NfL7zFY4dK+fGG78e95fm4aaltZXH160jGo3ynTu/z4GAjZ9/dJwtx300BqOsLckg0d67K1nBqElRprufRyzE2CQB8jDjslkY73FwrDncZaOK7AQbP/jSOP7lnXJ+s7mKf1p85nJ42VlZ3PU//gfr16/n/vvvZ82aNZTMndsWFCqliJiK5qBBrS+KiQI0FAq7xUKi3UqSIxY8NwYN/E0hmkNRWoIGkRO71xUadmts006qo+fl23Z9/jl/+tMfOf+881l58cW9XsUtbwnz8t5GvjzVwwRPz3OJ/bI5T4h+YbXEaiNvPu7FqcffCOpUqwpTaQ2ZPPpZDasWX4On/CN+/l8/55u33UZOdnY/jnrw7N67l988+geSJ8+mZcpCbnujBgUk2S3MH5fIwrxELpyY3KtzS5qYEP1LAuRhKD/ZwbFuVpEBFuUnsaY4nafL6inOcrN88pk3o+lWK5ddeikzZ87k8ccfp6ysjNVXXYXT6UTTNOzWWIB7emKCYSpCUZPWUJSoCtPcFCLNCGK3aiTYLFh7uVvaME1efvklNm36lJtuuomphVN7dZ6THj3RFOSGufF14glETabLqosQ/cLj1ClItlPpjfSqCsOprp6VTmvY4Jmd9VxbfCHLxxfwy1/8guu+9jXmzpnTTyMeWE3BKJsrWvn7K6+yv3QTRvFKSJjENCxcNzuDs/MSmZbu7LJTak+1hKNMTnVJmpgQ/UQC5GHIoVuY5HFyoCFIRjedkL4+N5NdNX5+vbGSwjQnE3u4ajp50iTuvece/vq3v3Lffffx9RtvpHDKlC7vb7VouCxa2wqrJWTt1QaSUzU1NfHYY49hs9m4++67e51ScdKOaj8fl3v5RkkmqXGMLWIobLLqIkS/mpTqpNobIWyYfW5WcdO8TFpDBk+V1XPr/Gl869vf5ne/+x3Hjh3jkksuGZYBoULx8t4mXj/QxN6Ketj+CjYNzllzO1+aOo75uQl9fg9t93hKoZRGZoJ8pAvRX+Sa8jCVl2zHZbMQ7KYcm65p3HteHi6bhZ+8V04gjtJtTqeTr133NVZfvZrf//5RXvz7i0Sjfdtc01M7d+3ipz/7GTNmzuQ7//iPfQqOjzSF+ENpLfe9X0GGW+cfiuLb3NIaNhifIpvzhOhPdquF6Rmubjcc95SGxncX5XDe+CR+t7WGPZEU7r77bvbv28cjjzyCPxDohxH3rz9vr+PBTVX4qw6Ru+MZrj53Nn974Ef8fytnsHRSSr8GxxBLE0tz67ht8kVfiP4iAfIwpVs0ZmS6aAkZXZZ9A0h32bh3SR7lLWF++UnlidzhnptdPJt77/0hx49X8vP/83+orKrs69C7ZJgmL7z4Ik8++SQ333wTq3qZb1zti/DMzjq+/dJBbn/pIE+X1TEx1cGPzs+Pa/d2rHMevWrlKoToXlaCjXSX3i/lJK2axv88N4/5uQn88pNKdjTBd7/3PdLT0/j5z/+L0m3bhk2Vi6fK6vjTZ5UUNWwla/8G7vnOLdyy5qvo1oELXgNRRUGydM4Toj/J9ZhhzOPUGZ/i4Hhr1xv2AEpyElhbkskfSmtx6RbuWJzT4/q/AMlJSdx++218+OFH/OqXv2LVqlWcf8EF/bqq2tjUyGOPPYbD4eSee+7ucdOPk5qCUT442so7h5spq4mtGBVlOPnWgmwumJgcV1rFSb6ISYZbl815QgyAWG1kFxvLvbi72U/RU3arxv++IJ973zzCfe+X8+9Lx3P16qvZvmM7r7/+Bi+88AIXXnghixYtwukYmoY/f/m8nj+8vY3Mg29TVFTAtXffjSel582KesMwFbqFfl+VFmKsk9+oYW5iqoMa35lz+dYUpxOMKp4qq0MBd8YZJGtoLDn3XKZOncof//hHysrKuOGGG/B4PH1+DmVlZfz5iSe46KILWb58RY8D70DU5OPyVt451MKW414MBQXJdtaWZHDhRA+5ib1f+VVK4Y+aFGfL5jwhBkqC3cpEj50jzWHSu/mS31NO3cK/XTSeu984wo/fOcb9yycwZ/YcZs+ezcGDh3hrwwZefeUVzl1yLuedd/6AB6en+suOKn771F/xNO7njltuYMFZ89DieA/urZawQUGyvc9fQIQQ7UmAPMzZrRaKMpyUVvnJSug6QNbQWFuSgQY8WVaHYSruOic37p3R2VlZ3HXXXbz22nru/+lPufrqqzlr/vy4zhE1DA4ePEhZ2Q7Kysowoga33HwzhYWFPTr+UFOQp8vq+fhYKyFDkeHW+eqMdC6alMzkVEe/fOg0hwzykuwkO+RXQIiBNN7jpLI1Qihq4uiHBhbJDiv/sayAH7x2mH9+6yg/XzmRCR4HUyZPZsrkydTU1vLOO2/zn//5E2bPns3SpcvIGzeuH55J137/5qc88+RT5E2cxP/56Y/x9HHTcU+ZSmGYkJMo6RVC9DeJDkaAjAQ7OUkRGvzRbi+jxYLkTKwW+NP2OlBw15fiD5KtFguXfPkSZs6cxeOPx5qLXHPN1d0W6Pf5/ezatZOyHWXs3r2bjIwMZhXP4hvfuImCgvweB7W76wL8aMNRNA2WT07hokkpzMxyxbUafiaGqYgqxUSPs9/OKYTonG7RmJ7hZFu1n8x+6vCW4bLxn8sn8P31R/jRhqP8y4X5TE2PvT9lZWZyzdXXcOmll/H+++/z8EMPkZuby9Jly5gxo6hfV3V9fj8/f/RJPi7dSdGFX+FnX7sQezcNkfpbS8ggP9mOu5eNRYQQXZMAeYQoTHOx0d96oixZ92/AN8zJRNPgj9vqMFF8/0vjelVjc+KECdx99z08//zzsXJwX/96W61ihaK6uoayHTso27mT8mPHmDptGsXFxXz1yit7dWmzrMbPP791FI9T5/4VE8geoM1zjSGDKakuyT0WYpCku21kum20hKL9dtVmXKKdnywv4IdvHOV7rx5myfgkbpybyfiUWP5xgtvNqosvZtmypWzZvIW//e1v/O1vsHTpRT2+mtWd0tJS/vuPT3LIXsCcq7/Nv68oHNTg2DzRAbQgZWjyrYUY7SRAHiGcuoVp6S521fjJ7EHgeP3sTCwarCutw1Twg3PHofciSHY6HFy7Zg1lZWX84bE/MG/+fDRNo6ysjEgkQnFxMcuXL2fatGnYbb0PaEurfPzL28fITLBx//LxA9b2OWyY2C0aebLjW4hBo2kahWlONpa3dtsAKV6TPU4e/Ycp/HVXA3/9vJ4Pj7aybHIKN8zJJOfEHgWbbmPx4sUsWryI3bt3s2HDW7z++htkZGQwfnwBBfkFFIwfT1paao9Wl5tbWnj2mWfYceAohycsY3bRNP5t6XgcgxgcAzSFDApSHPJFX4gBIgHyCJKTaKPaGyublNSD7nXXFWeiofGH0loU8D97GSQDFBcXc+8P7+Xll18hMTGRW26+mbz8vH65XLm50su/vXOMnEQ796+Y0OfuW91pCRkUZ7nRZUOLEIPKbbcyOc3FwYYg6d00QIpXos3KjXMzuXx6Ks/srOelvQ28c6iZVVM9XDc7g3RXLFDW0JhRNIMZRTM4Vn6MpqYmjh49xscff8zTzzyDMk0Kxo/vMmhWKDZu3MTzzz9P7oz57Jt5NUWZifzb0vFxlZfsD4apUAryZfVYiAEjAfIIomka09JdJ1ZhLD1ahbm2OAOrpvHoZzWYpuKeJXm9Dg6TEpO4ds0aGpsaSfWk9uocp9tY3sq/v1dOQbKD+5aPH9BSRb5w7ItFT1bghRD9Ly/ZTkVLiGDU7Peg0uPUue2sbK6ckcaTO+p4dV8Trx9o5vLpqVw9K4OUUxYVEhMTKcgvYHbxbCAW/DY3NXOs/BhHjx7jk08+4Zlnn8E0TPILChg/voCjR4/hbW3l/NU38fAeg6mpTv592XhcgxwcQ2yT8YQU+6AH5kKMJRIgjzBuu5XCdBf7GgJkuHoW6F09Kx1Ng99trUG9X8G95/U+SO5PHx5r5b73ypmY6uQ/l40nuQer4r2llMIXMTk7KxFNuuYJMSR0i0ZRpputx70DFtxluG18b1Euq2dl8KdttTy3q4GX9zZy1cx0vjojnYROUhI0NDweDx6Ppy1oBmhqbubYsaMcO3aMWbNmklR4Fj9+r4IJKU7+Y9l4Eoegc51hKjRNVo+FGGjy9XMEyku2k2iz4gv3vEPV6pnp3HZWFh8ca+U/3y8nYg5t16l3D7fwk3fLKUx3cv/ygQ2OAZrDBuOS7KRIMX0hhlSaSycnyUZzcGBb2+cm2vif547jN5dNZn5uAn/aXsc3nt/Pc7vqCffwoT0pKcwuns0lX76E9BmL+Lf3j5OX7OA/l48naYgqRzSFDCZ6nN3WxRdC9J1ECyOQRdOYkelmU0UrLpulx403rpyRjkXT+M3man7yXjk/Oj8f2xCsJG841MzPPzzOzEwX/75sPO4BvkxomArDUExMlRUXIYaDKakuPva19OuGva5M9Dj45wsK2FsfYF1pLb/bWsN6ewjTXo9dt2CzaNitGjarht1qwW7VTvz54u8WTePFPQ1kn9hEnDLAX+i7EjUVVg3GJUmamBADTQLkESrJYWWix8HRODtU/UNRGhoa/29zFf/xXjk/Oi9/UEsTrd/fxC8/qWRutpsfX1QwKDl0TSGDSWlO3ENwOVQI0ZHLZmFqmov9DYG2TXQDbVq6i58sG8+Oaj8f7K2gWXMRMUzCBkRMk1DUpDVkEjZMIqZJOAph0yRsKMKGYqLHwU+WFQxpS+fmoMHUdCc2WT0WYsBJgDyCTfA4qfZG4t7wckVRKlYLPLipim+/dIBzCpJZnJ9IUaar11UueuKlvY08uKmK+bkJ/O8L8gclOA4bJrpFIy9JyroJMZyMS7JT3hImEDEHtVTZ7Gw3+Y6MuDYaK2IpaYPROrorYcPEZtXIkfcyIQaFBMgjmG6JpVpsOe7FYdXi2nx22bRUPE6dl/Y28LfP63luVz1JdgsLxiWyKD+JBeMSSOzHHLvndzfwm83VLMxL5Efn5w9azdDmoElxtktWXIQYZqwWjaIMF1uOe3Hq8b1/DbahDIxPagkbFGW4hsUGayHGAgmQR7hUl05+ip2q1ghpcaRaACwZn8SS8Ul4IwafHfexsdzLpuNe3j7cglWD4iw3C/MTWZSXRH4vG2uEDcXzu+v5/We1fKkgkR+eN3h5z/6IQbLDImXdhBimUl0645Ls1PkjQ5q6MNyFDROn1UJ2gqweCzFY5B1pFJic6qTWF411ievFSmmizcp5E5I5b0IyhlLsrguyqaKVjeVefrulht9uqSEvycaivCTOzk9EBULs8bbSGjJoDRu0hExaQ1FawgatIYOWkNH2s2A0dmny/AlJ3H3u4JWXU0rhDZssyEvs8SZGIcTgm5zmpMYfIWoqWR3tQvOJBkcDvaFRCPEFCZBHAbvVQlGGk21VfrIS+pZKYNU0ZmW6mJXp4qaSLKq8ETZVeNlU3sqLexv46+4GMrQAdcrVdoxGbNNgssNKot1ChtvG5FQnSXYryU4LWQl2LpiYPKD5zadrCRnkJNlkVUqIYc6pW5ia5mR3XYDMAWoxP5IFoyYuXa6ECTHYJHoYJTLcNnKSbNT5onGnWnQnJ9HG5dNTuXx6KoGoSVm1n7C/hYzUVJKcVpLtVtx2C5ZhkKN3kmEqoqZicqpzqIcihOiB3CQ7FS1h/BFDqs2cxhs2mJ3tlithQgwyCZBHCU3TmJ7uwh/20RqKtVTuby7dwtl5iTQ2RUj1uM58wBBpChlM8Djkg1aIEcKiaUzPcPHpcS8u3TKsN+wNpmDUJMFuJUNW1oUYdLK1fxSxWS3Mzk7AJPbGOhadLOtWIG1YhRhRUpw6Bcl2GkM97xA62rWGDArTnPKFQYghIAHyKOOyWZib48YbNogYQ9tOeig0n/hAkbJuQow8Ez1OdE0jEBmbX/BP5Y8YJDut/ZoyJ4ToOYkiRqFkh87sbDeNwSiGOXaC5EDEJMluJTtRLkcKMRI5dAtzctz4owZhY2wHyd6wSWGaS1aPhRgiEiCPUpkJdqamu2gIRFFq9AfJEUPRGjGYmu6SzSxCjGDJDp05WQk0Bw2iY+gL/ql8YYN0t47HKfsohBgqEiCPYuNT7IxLtlMfHJ05fcGoSX0gQl0gQsgwmZrmIlUuRwox4qUn2JiZ5aY+EMUcA1/wT+eLmExOldxjIYaSRBOjmKZpTEt3EYiYNIWieBwj+5/bVIpAxCQYVSgUSQ4rU9NceFw6CTbZ+S7EaJKbZCdkmOyvD5Lp1sfM73dryCAzwUaK1HAXYkjJb+AoZ7VozMpys+W4F1/YIME+si7ZGabCFzEIG6BpkOHWmZJmI9mp49TlAogQo9mEFAehqElFS3hMlDpTShE0TOakJgz1UIQY8yRAHgMcuoW5OQlsqvBi62U76sHWFIoSMcBu1chOtJPhtpHssEorWiHGEE3TmJruIhRVNAT6twnScBI2TPwRk6ipyE60DUgdeyFEfEbnu43oIMFuZW5OAp8d95Lm0rAO00BTKUV9IEpmgo2JHieJdkmdEGIss2gaMzJdbKv20RyKkjLCU8Ugtqk4EDWImAqlYu/PBSl2PM7YQoAQYuiN/Hca0WNpLp2iTBef1waGZU6fqRT1/ij5KXapRiGEaGOzWijOSmDrCE4VC0Rj+yfQFE6rhaxEO+kunUS7FYekiwkx7EiAPMbkJTvwR0yOtYTIcA2fnD7DjK0cT051MEl2bwshTuPULZTkJLD5uJdg1Bz2exBMpWgKGpgKdEts/0RGgp1EuwW3bWQF+EKMRRIgj0FT0pwEIiaNQYPUYVBnM2yYNIUMZmS6yEuWFtFCiM65T6SKbTnuxaIxbPdTmEpR548yKdVJdqJNquwIMQINz3cXMaBO5vS5dI3W0NDWSA5GTZqDBiXZbgmOhRBnlOLUmZPtpilkDMtOoSeD48J0J1PSnCTarRIcCzECSYA8RtmsFoqz3WgWjVp/hGB08Nu6+iMG/qjJWXmJZCTYB/3xhRAjU0aCnaJ017BrJHJqcDzR4xzq4Qgh+kAC5DHMbbOyKC+ROdluNA1q/VFaQ8agtKZuDRkYJpw9LhGPFMQXQsQpP8XBpFQH9f7ooLxnnYkEx0KMLhKZjHFWi0ZmQqzOcEvIoLw5RLUvisUCKXbrgJSDawxGcekWZmcn4LLJdzQhRO9MTnUSMhTHW8OkOfUhq5MuwbEQo48EyAKIFeRPceqkOHUmRQyqWsMcbQ6jFCQ5LP22GaY+EMXjtDIryz1sN9gIIUYGTdMoynCRbLdyoDGIAjwO66CWiJTgWIjRSQJk0YHbZmVymouCFAe1/giHG0O0hCK4dEuv648qpagLRMlJtDM9wyUd8YQQ/cKiaeSnOMhMsHGsOcSR5jBOqzYo3egkOBZi9JIAWXTJZrUwLslBTqKdxkCUo80havwRvEEDAlE0DSwaaGhoGmhw4jat7e+xv8VaR49PcTAlzSkNQIQQ/c6hWyhMd5GbZOdAQ5AaX4Qku3XA0rgkOBZidJMAWZyRRdNId9tId9vwhg0OHffjSXVimApDKQwVa/ShlCKqwDS/uM1QJkrB1HQXBcl2KXckhBhQCXYrc3ISaAxE2VsfoNYfIcVh7deULgmOhRj9JEAWcUm0W8lJsJGZIjWLhRDDV6pL5+y8RKq9EfY3BGkNR/E4+r7xWIJjIcYGCZCFEEKMShZNIzfJToZbp6I1zKGGIFar1uuycBIcCzF2SIAshBBiVLNZLUz0OMlOsHOoMcjuBhMzEMGKhuXEvgmr5cR/tdhtp680S3AsxNgiAbIQQogxwWWzMDPLjSvixJ3iJmIqQlGTiAER0yRsKCKmIhJVRE0T0EABmsI0keBYiDFEAmQhhBBjSqLdQmZi9+3t1SkbkA1ToaDXZS6FECOPBMhCCCHEaTRNQ9eQmu1CjFHSykwIIYQQQohTDHiAbBgG8+bN47LLLgPg0KFDLFq0iMLCQtasWUM4HAYgFAqxZs0aCgsLWbRoEYcPHx7ooQkhhBBCCNHBgAfIv/rVr5gxY0bb/99zzz3cdddd7N+/n9TUVB599FEAHn30UVJTU9m/fz933XUX99xzz0APTQghhBBCiA4GNEAuLy/n5Zdf5tZbbwVimx7eeustVq9eDcDatWt5/vnnAXjhhRdYu3YtAKtXr2bDhg29rlUphBBCCCFEbw3oJr1/+qd/4mc/+xmtra0A1NfX4/F40PXYw+bn51NRUQFARUUFBQUFsUHpOikpKdTX15ORkdHunI888giPPPIIALW1tdTW1vZpjI2NjX06fiySOYuPzFf8ZM7iI/MVH5mv+MmcxUfmK37Dbc4GLEB+6aWXyMrK4qyzzuKdd97pt/Pedttt3HbbbQDMnTuXzMzMPp+zP84x1sicxUfmK34yZ/GR+YqPzFf8ZM7iI/MVv+E0ZwMWIH/44Ye8+OKLvPLKKwSDQVpaWrjzzjtpamoiGo2i6zrl5eXk5eUBkJeXx7Fjx8jPzycajdLc3Ex6evpADU8IIYQQQohODVgO8n333Ud5eTmHDx/mqaeeYunSpfz5z3/moosu4rnnngNg3bp1XHHFFQBcfvnlrFu3DoDnnnuOpUuXomlSf1IIIYQQQgyuQa+D/NOf/pQHHniAwsJC6uvrueWWWwC45ZZbqK+vp7CwkAceeID7779/sIcmhBBCCCHE4HTSu/DCC7nwwgsBmDx5Mps2bepwH6fTybPPPjsYwxFCCCGEEKJL0klPCCGEEEKIU0iALIQQQgghxCkkQBZCCCGEEOIUEiALIYQQQghxCk2N4H7OGRkZTJw4sU/nqK2tHVaFqUcCmbP4yHzFT+YsPjJf8ZH5ip/MWXxkvuI3VHN2+PBh6urqOtw+ogPk/rBgwQI2b9481MMYUWTO4iPzFT+Zs/jIfMVH5it+MmfxkfmK33CbM0mxEEIIIYQQ4hQSIAshhBBCCHGKMR8g33bbbUM9hBFH5iw+Ml/xkzmLj8xXfGS+4idzFh+Zr/gNtzkb8znIQgghhBBCnGrMryALIYQQQghxKgmQhRBCCCGEOMWICpDXr1/P9OnTKSws5P7772+7/cEHH6SwsBBN0zqtZXfSLbfcwty5c5kzZw6rV6/G6/UCEAqFWLNmDYWFhSxatIjDhw93evy6deuYOnUqU6dOZd26dW23r1q1irlz5zJr1iy+9a1vYRhG/zzhPhqu8/X0008zZ84cZs2axT333NM/T7afDPWcrVq1Co/Hw2WXXdbu9m984xtMmjSJkpISSkpKKC0t7fNz7Q9DOV+lpaWcc845zJo1izlz5vD000/H/fhDYaDm7L333mP+/Pnous5zzz0X9+N3dd6hNlzn66233mL+/PkUFxezdu1aotFoPzzbvhvq+br55pvJysqiuLi43e3/+q//Sl5eXtt72CuvvNLHZ9p/hnLOjh07xkUXXcTMmTOZNWsWv/rVr9p+9uyzzzJr1iwsFsuwKn/W1Xxdf/31TJ8+neLiYm6++WYikUinxx86dIhFixZRWFjImjVrCIfDwDB8D1MjRDQaVZMnT1YHDhxQoVBIzZkzR+3cuVMppdTWrVvVoUOH1IQJE1RtbW2X52hubm77+1133aXuu+8+pZRSDz30kLr99tuVUko9+eST6pprrulwbH19vZo0aZKqr69XDQ0NatKkSaqhoaHdeU3TVFdeeaV68skn++dJ98Fwna+6ujpVUFCgampqlFJK3XjjjerNN9/st+fdF0M9Z0op9eabb6oXX3xRXXrppe1uX7t2rXr22Wf79Pz621DP1549e9TevXuVUkpVVFSonJwc1djYGNfjD7aBnLNDhw6pbdu2qa9//etdvla6e/yuzjuUhut8GYah8vPz1Z49e5RSSv3zP/+z+t3vftdfT7vXhnq+lFLq3XffVVu2bFGzZs1qd/u//Mu/qP/6r//qy9MbEEM9Z8ePH1dbtmxRSinV0tKipk6d2vb4u3btUrt371YXXHCB+vTTT/vl+fZVd/P18ssvK9M0lWma6tprr1UPP/xwp+e4+uqr2+Kk22+/ve1+w+09bMSsIG/atInCwkImT56M3W7n2muv5YUXXgBg3rx5Peqol5ycDIBSikAggKZpALzwwgusXbsWgNWrV7NhwwbUaXsXX3vtNVasWEFaWhqpqamsWLGC9evXtztvNBolHA63nXcoDdf5OnjwIFOnTm3rlrN8+XL+8pe/9NfT7pOhnjOAZcuWkZSU1E/PaGAN9XxNmzaNqVOnAjBu3DiysrKora2N6/EH20DO2cSJE5kzZw4WS9dv6909flfnHUrDdb7q6+ux2+1MmzYNgBUrVgyL97Ghni+A888/n7S0tL49kUE01HOWm5vL/PnzAUhKSmLGjBlUVFQAMGPGDKZPn96Xp9fvupuvSy65BE3T0DSNhQsXUl5e3uF4pRRvvfUWq1evBmDt2rU8//zzwPB7DxsxAXJFRQUFBQVt/5+fn9/2IorHTTfdRE5ODrt37+Z73/teh3Pruk5KSgr19fVxPf7FF19MVlYWSUlJbf/wQ2m4zldhYSF79uzh8OHDRKNRnn/+eY4dO9abp9jvhnrOzuRHP/oRc+bM4a677iIUCsU9rv42nOZr06ZNhMNhpkyZEvfjD6aBnLP+ePzennegDNf5ysjIIBqNtl32fu6554bF+9hQz9eZPPjgg8yZM4ebb76ZxsbGfjtvXwynOTt8+DCfffYZixYt6tXxg6En8xWJRPjjH//IqlWrOhxfX1+Px+NB1/Uuj+/L4/fna3fEBMj95bHHHuP48ePMmDGjXc5iX7322mtUVlYSCoV46623+u28Q62/5ys1NZX/9//+H2vWrOG8885j4sSJWK3Wfhjp8DEQr7H77ruP3bt38+mnn9LQ0MBPf/rTfjnvcNDX+aqsrOTrX/86jz322BlXt0aLgXofG6jzDrX+fl6apvHUU09x1113sXDhQpKSkkbV+9hAvA6+/e1vc+DAAUpLS8nNzeX73/9+v5x3uOjrnHm9Xq666ip++ctftq2EjlTf+c53OP/88znvvPMG/bH787U7Yj5N8vLy2n1DLy8vJy8vr9tjLr74YkpKSrj11lvb3W61Wrn22mvbLomdeu5oNEpzczPp6elxP77T6eSKK65oW+4fSsN5vr7yla+wceNGPv74Y6ZPn952mXKoDfWcdSc3NxdN03A4HNx0001s2rSpx8cOlOEwXy0tLVx66aX85Cc/YfHixX19SgNuIOesvx6/N+cdKMN5vs455xzef/99Nm3axPnnnz8s3seGer66k52djdVqxWKx8M1vfnNYvIfB8JizSCTCVVddxfXXX8+VV14Z17GD7Uzz9eMf/5ja2loeeOCBtttOna/09HSampraNrX2ZL7jeXzox9dunzKYB1EkElGTJk1SBw8ebEvMLisra3ef7hLpTdNU+/bta/v797//ffX9739fKaXUgw8+2G5D0NVXX93h+Pr6ejVx4kTV0NCgGhoa1MSJE1V9fb1qbW1Vx48fbxvjNddco37961/32/PureE6X0opVV1drZRSqqGhQc2dO7dto8tQG+o5O+ntt9/usEnv5GvMNE115513qnvuuad3T7IfDfV8hUIhtXTpUvWLX/yiyzEOt016AzlnJ3W3obOrx+/JeYfCcJ0vpb54HwsGg2rp0qVqw4YNfXqu/WGo5+ukQ4cOddikd/I9TCmlHnjgAbVmzZoeP6+BNNRzZpqm+vrXv67uvPPOLsc4nDbpdTdfv/3tb9U555yj/H5/t+dYvXp1u016Dz30ULufD5f3sBETICsV2yE5depUNXnyZPUf//Efbbf/6le/Unl5ecpqtarc3Fx1yy23dDjWMAz1pS99SRUXF6tZs2apr33ta207HgOBgFq9erWaMmWKOvvss9WBAwc6ffxHH31UTZkyRU2ZMkX9/ve/V0opVVVVpRYsWKBmz56tZs2apb773e+qSCQyAM8+fsNxvpRS6tprr1UzZsxQM2bMGBYVP0411HO2ZMkSlZGRoZxOp8rLy1Pr169XSil10UUXtZ33+uuvV62trQPw7OM3lPP1xz/+Uem6rubOndv257PPPuvx4w+VgZqzTZs2qby8POV2u1VaWpqaOXNmjx+/u/MOteE4X0op9YMf/EAVFRWpadOmdfslbbAN9Xxde+21KicnR+m6rvLy8tqqe9xwww2quLhYzZ49W33lK19pFzAPtaGcs/fff18Bavbs2W3vYy+//LJSSqm//vWvKi8vT9ntdpWVlaVWrlw5QDMQn67my2q1qsmTJ7c9jx//+MedHn/gwAF19tlnqylTpqjVq1erYDColBp+72HSaloIIYQQQohTjJgcZCGEEEIIIQaDBMhCCCGEEEKcQgJkIYQQQgghTiEBshBCCCGEEKeQAFkIIYQQQohTSIAshBAjRH19PSUlJZSUlJCTk0NeXh4lJSUkJibyne98Z6iHJ4QQo4aUeRNCiBHoX//1X0lMTOQHP/jBUA9FCCFGHVlBFkKIEe6dd97hsssuA2KB89q1aznvvPOYMGECf/3rX7n77ruZPXs2q1atIhKJALBlyxYuuOACzjrrLC6++GIqKyuH8ikIIcSwIgGyEEKMMgcOHOCtt97ixRdf5IYbbuCiiy5ix44duFwuXn75ZSKRCN/73vd47rnn2LJlCzfffDM/+tGPhnrYQggxbOhDPQAhhBD968tf/jI2m43Zs2djGAarVq0CYPbs2Rw+fJg9e/ZQVlbGihUrADAMg9zc3KEcshBCDCsSIAshxCjjcDgAsFgs2Gw2NE1r+/9oNIpSilmzZvHxxx8P5TCFEGLYkhQLIYQYY6ZPn05tbW1bgByJRNi5c+cQj0oIIYYPCZCFEGKMsdvtPPfcc9xzzz3MnTuXkpISPvroo6EelhBCDBtS5k0IIYQQQohTyAqyEEIIIYQQp5AAWQghhBBCiFNIgCyEEEIIIcQpJEAWQgghhBDiFBIgCyGEEEIIcQoJkIUQQgghhDiFBMhCCCGEEEKc4v8HN+U5TCm65LcAAAAASUVORK5CYII=\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Visualize the groud truth, actual forecast and confidence interval \n", "fig, ax = model3.plot_forecast(time_series=test_data, plot_forecast_uncertainty=True)\n", "plt.show()" ] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "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": "3.9.5" } }, "nbformat": 4, "nbformat_minor": 4 }