{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Ensembling Models\n", "\n", "The following is a brief demonstration of the ensemble models in Darts. Starting from the examples provided in the [Quickstart Notebook](https://unit8co.github.io/darts/quickstart/00-quickstart.html), some advanced features and subtilities will be detailed.\n", "\n", "The following topics are covered in this notebook :\n", "* [Basics & references](#Basics-&-references)\n", "* [Naive Ensembling](#naive-ensembling)\n", " * [Deterministic](#naive-ensembling)\n", " * [Covariates & multivariate series](#using-covariates-&-predicting-multivariate-series)\n", " * [Probabilistic](#probabilistic-naive-ensembling)\n", "* [Learned Ensembling](#learned-ensembling)\n", " * [Deterministic](#learned-ensembling)\n", " * [Probabilistic](#probabilistic-regression-ensemble)\n", " * [Bootstrapping](#bootstrapping-regression-ensemble)\n", "* [Pre-trained Ensembling](#pre-trained-ensembling)" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "# fix python path if working locally\n", "from utils import fix_pythonpath_if_working_locally\n", "\n", "fix_pythonpath_if_working_locally()" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "%load_ext autoreload\n", "%autoreload 2\n", "%matplotlib inline\n", "import warnings\n", "\n", "import matplotlib.pyplot as plt\n", "\n", "from darts.dataprocessing.transformers import Scaler\n", "from darts.datasets import AirPassengersDataset\n", "from darts.metrics import mape\n", "from darts.models import (\n", " ExponentialSmoothing,\n", " KalmanForecaster,\n", " LinearRegressionModel,\n", " NaiveDrift,\n", " NaiveEnsembleModel,\n", " NaiveSeasonal,\n", " RandomForestModel,\n", " RegressionEnsembleModel,\n", " TCNModel,\n", ")\n", "from darts.utils.timeseries_generation import (\n", " datetime_attribute_timeseries as dt_attr,\n", ")\n", "\n", "warnings.filterwarnings(\"ignore\")\n", "\n", "import logging\n", "\n", "logging.disable(logging.CRITICAL)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Basics & references\n", "\n", "Ensembling combines the forecasts of several \"weak\" models to obtain a more robust and accurate model.\n", "\n", "All of Darts' ensembling models rely on the **stacking technique** ([reference](https://machinelearningmastery.com/essence-of-stacking-ensembles-for-machine-learning/)). They provide the same functionalities as the other forecasting models. Depending on the ensembled models, they can:\n", "\n", "* levarage covariates\n", "* be trained on multiple-series\n", "* predict multivariate targets\n", "* generate probabilistic forecasts\n", "* and more..." ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 3, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# using the AirPassenger dataset, directly available in darts\n", "ts_air = AirPassengersDataset().load()\n", "ts_air.plot()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Naive Ensembling\n", "\n", "Naive ensembling simply takes the average (mean) of the forecasts generated by the ensembled forecasting models. Darts' `NaiveEnsembleModel` accepts both local and global forecasting models (as well as combination of the two, with some additional limitations)." ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "NaiveEnsemble (naive) MAPE: 11.87818\n" ] }, { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "naive_ensemble = NaiveEnsembleModel(\n", " forecasting_models=[NaiveSeasonal(K=12), NaiveDrift()]\n", ")\n", "\n", "backtest = naive_ensemble.historical_forecasts(ts_air, start=0.6, forecast_horizon=3)\n", "\n", "ts_air.plot(label=\"series\")\n", "backtest.plot(label=\"prediction\")\n", "print(\"NaiveEnsemble (naive) MAPE:\", round(mape(backtest, ts_air), 5))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**Note**: after looking at the each model's MAPE, one would notice that `NaiveSeasonal` is actually performing better on its own than ensembled with `NaiveDrift`. Checking the performance of the single models is in general a good practice before defining an ensemble. \n", "\n", "Before creating the new `NaiveEnsemble`, we will screen models to identify which ones would do well together. The candidates are : \n", "- `LinearRegressionModel` : classic and simple model\n", "- `ExponentialSmoothing` : moving window model\n", "- `KalmanForecaster` : a filter-based model\n", "- `RandomForestModel` : decision trees model" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "LinearRegression MAPE: 4.64008\n", "ExponentialSmoothing MAPE: 4.44774\n", "KalmanForecaster MAPE: 4.5539\n", "RandomForestModel MAPE: 8.02264\n" ] } ], "source": [ "candidates_models = {\n", " \"LinearRegression\": (LinearRegressionModel, {\"lags\": 12}),\n", " \"ExponentialSmoothing\": (ExponentialSmoothing, {}),\n", " \"KalmanForecaster\": (KalmanForecaster, {\"dim_x\": 12}),\n", " \"RandomForestModel\": (RandomForestModel, {\"lags\": 12, \"random_state\": 0}),\n", "}\n", "\n", "backtest_models = []\n", "\n", "for model_name, (model_cls, model_kwargs) in candidates_models.items():\n", " model = model_cls(**model_kwargs)\n", " backtest_models.append(\n", " model.historical_forecasts(ts_air, start=0.6, forecast_horizon=3)\n", " )\n", " print(f\"{model_name} MAPE: {round(mape(backtest_models[-1], ts_air), 5)}\")" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "image/png": 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GOJczsMU5jPala9euuPfee0Vdmy2Uq2cdt9HxoYOiBcw4z3OuZYDMOI8ys4NS+6wBc5XtcwbNgXHkb+3ZVNZzG21AUbAe0N5qlFbbZi89sjQ4Ou4MeDLrhWmmxmPfvHmzyF6hfSvNGLkC1iZyjJm6qsF6x6JWcCW+jVy5k3g9X375ZaF+L4S9ZEoLUy3Z14epIJzsBgwYIOrZGEllaseECRNEtJWGmbnrrDdjmiGjb1OmTCm3dAc6LzQALL4fO3ascLa4yvX000+LFTimrrDwmyuFTImk0AhX+ZiSwt45Dz74oIgs0mDz9RRn4Xs4EiWk48XP5YUEe+owrYU1g+zjQyPKyPP06dPFxQfTKjkerVq1EqmajPyykSxTMQnrEdlTiP2OuOLIiwSOEw05i9eL4qmnnsIPP/wg9oHjywJvGkoe76+//ur2JusSiURSHLzAtxXSIrQVdAQ4j3Pl7oorrhCPc06mA8CMB/bpNML5jmJSnHtPnDghes+xBopCWYQ2ienvfJ4264YbbhCvo31i8Gv06NEus33OwOPjXM99ZSCQwmK0S/bq+tiTjat2V199tXCSONfTiaIttBdkNEJ7R8Eu/i1r3xhopSPNfoEcj6LEzJzFmXFniQLtF+vZ7rzzTmRmZuLDDz8UdXy00cZgKnn22WdF/1d+Bs8RR+rxyiuQzJRYCr1wHPm5tP/MGKKT5+mVRUk542m5TomkNNLTmny+vVYI7NdjC+WU7Z3un3/+uZCJZv8a9s9h3yHKKx89elR/zZIlS5TOnTuL17CPmya/bCv9XFQvu5Kemz9/fiHJ519//VXp3r27OBbe2EaBrQh27Nhh9bfsb0cpZMoes98b95XHc9lllxWS3S6qTQGlka+55hrRWoHvw/djXz/2wCOUrWbbBvbD4Rhxf7ht7J20d+9eIWPNHnvstUR5ZfYNYk+o4lohaH2SrrvuOiUhIUH8LY+DktNGijoGe+0wJBKJxN32iL092ZqmRo0ayvnz563+VmvZ8tNPP1nNZz/88IOQ4aeUPu0L2+IcOHCg0Gfz79jSgPMz59YRI0aIvmVGXGH7OF8bW/UU1d6ATJw4UbTbYZsCo220fS3b7rz++uu63eJxcb7n/vMxI7Z28e+//xZ2hvYwJiZGtA+oX7++kPk/ceJEob+1bd+j2Qu2JXDEvjgy7oR2rlu3bmIs4+LiRA/YrVu3Fnode9ix/QXbJBjbD9jbV3v2sqhWCI5+R7T17IvL4+F5yn63vIbge2p9CSX+gYn/lLfDKJFIPFfvwYJ4pncyZVMikUgk3gVruVkrzZUyZ1fJJJLyhHWhrPvnqqkjgjwS30DmPEkkPkpWVlah9FDWcDDFonfv3h7bL4lEIpFIJN4FU0aNsIaf5RNMDZaOnX8ha+4kEh+FLQaY+886N4qrsD3DF198IfrC8TGJRCKRSCQSwrpABn7Zg481hLxeoBga60Ql/oV07iQSH4WF3WzGyh55XK1jcT4bi7/xxhtFNlKXSCQSiUQSeFC8jYqsVHKlgArbGdHBM7Z5kvgHpaq5o5odVZ80FT3W9lAtjyp/xotK5pNXqVJFbG/ZskVI7x46dEgo81HqnTKyEolEIpF4G9LOSSQSiSQgVu5o7Ngrg95+cnKyaIBISVdN6tVe/y/K1VKGlfK+lIzVZN/5v0QikUgk3oS0cxKJRCIJCEEVNr5kz7HnnntORCq5rNugQYMSU8DWrFkjDCN7drH/CXuBsBEk+2lJJBKJROItSDsnkUgkkoBx7k6ePCkU+tjAmI0vKbfOxsoamzZtQr9+/YSYA/N6Nfbu3SuMo0ZERIRIc+Hj9mAElLKsxhsfk0gkEonElUg7J5FIJJKAScuk0aMBOnjwIP78809RV3DvvfcKYQcWZv70008i0rl161Y8/vjjSExMFEaQ8qvR0dFW78X7GRkZdj9n8uTJhXp00ZAOHTq0NMcokUgkEj+kTp065f6e0s5JJBKJxJftnFPOHVNNCGsKGJVklJKRzSVLluCBBx7QX0cp9uHDh2PevHnC6EVGRiI9Pd3qvXg/KirK7ufcfvvtGDFihPWOhoRIBUAHm1jzYoQqikFBso1hScjxchw5Vs4hx8s3x0vaOe/HW84VX0GOl3PI8XIOOV7eN15OOXcpKSmipoA1CBrGbSN8XBPirFu3rlX6ClNeDh8+LB63B42bNHBlgyeM/JE5jhwvx5Fj5RxyvHxrvKSd8x08fa74GnK8nEOOl3PI8fKe8XLqXRmZZISSCmKsDdi3bx/mzJmDbt26YenSpTh37px43fbt20XqitY7g+pi2dnZ+OOPP8TfsVidTRSrV6/ukoOSSCQSiaQ0SDsnkUgkEl/GaZdxzJgxOH/+PPr374+HH34Y99xzD9q0aYMVK1aIWoHu3bvjmWeeEc2UL730UvE3jE6OHz8eP/zwA/r06YN169aJXkASiUQikXgb0s5JJBKJJKCamEu8O5f3wIEDIrVILo+XjBwvx5Fj5RxyvJxDjpfEUeS54hxyvJxDjpdzyPHyvvGS34JEIpFIJBKJRCKR+AHSuZNIJBKJRCKRSCQSP0A6dxKJRCKRSCQSiUTiB0jnTiKRSCQSiUQikUj8AOncSSQSiUQikUgkEokfIJ07iUQikUgkEolEIvEDpHMnkUgkEolEIpFIJH6AdO4kDvPVV18hISHB07uB2267DUOGDPH0bkgkPglbm6ampnp6NyQSr0XaOonE90lLSxM95QIR6dxJyo39+/fDZDJh/fr1Xvl+Ekmgk5ubizZt2qBKlSr47rvvPL07EolPIm2dROLd/Pjjj0hMTESPHj2EkxdoSOfOh8jJyYE/4C/HIZH4GitWrMCGDRuQmZmJu+66S2xLJN6Gv9gIfzkOicTXmDRpEvLz87F06VLcc889ImMlkJDOnYdgJGHEiBGIjo5G1apV8d5776F379545JFH9NfUrl0br7zyCm655RbExcVh1KhR4vFff/0VzZo1Q3h4uHjNO++8Y/XedevWxe+//271GFNMmGpijBJOmzYNffr0QVRUFFq1aoVly5ZZ/Q1fX6tWLfH81VdfjTNnzhR7THXq1BH/c2WA78/jMaaWvPbaa6hWrRoaNWokHudritvPot5P4+233xZjV6FCBdx///1iVUIikRTNnj179O2srCxcf/31MkVT4rO2Ljg4WNo6iURSrK37/vvv8fnnnyOQkM6dh3j00UexZMkS/Pnnn5gzZw4WLVqEtWvXFnodJ3Uao3Xr1mHs2LFYs2YNhg4diuHDh2PTpk148cUXxeOakXCGZ599Fo8//rhIBWnYsCFuuOEG5OXl6RH+O++8Ew888IB4nobx1VdfLfb9Vq5cKf7/999/cezYMWFQNebOnYsdO3aIY50xY4ZD+1fc+82bN0/8ePn/119/LY6/NGMgkQQSe/futbq/a9cujBw5MuCimhL3IW1dyUhbJ5GUH7m5uTh48KDVYw8//LCYWwKFEPgh7du3x/Hjx93+uaxjWb16tUORTE7SjCb069dPPDZ58mQR6bOlb9++eOyxx/T7jIDyb2jkCA3V1q1bMX78eBE1dAYau0GDBontl156SURId+/ejcaNG2PChAm47LLL8OSTT+qfw+Xtf/75p8j3q1Spkvif0UWOhRFGbblMHhYW5vD+Ffd+zKX+6KOPROSW+8vjoFHlhapEIik5mhkaGiqM4NSpU9GrVy/cd999Ht03ifMEqq3jCp8zSFsnkQQOBw4c0IVUNDuXnZ0tMlUYNIqPj4e/45fOHY3dkSNH4M3Rc55sHTt21B/jyaalcNgabyPbtm3DVVddZfVYt27d8P7774v8YqZ0OErLli31baZ8kJMnTwoDws9heoqRLl26FGvwiqNFixZOGbuSoHGmsTPuP6O7EonEsZU7Rv95AU1Gjx4t5iPb+Ubi3QSyrXMGaeskksC0cw888AAWL16MVatWieAmV+l//vlnp66VfRG/dO5sI1++/LmMAjoLT1rbNCt7OfqMaBj/hrhKNtbecTi6n/Yw7rv2XoEqeSuROLtyxwvEG2+8Uay+sAaKwg+MajJdjisFEt9A2jpp6yQSSdEZKo0bN8ZDDz0k6lnPnz8v6ng//PBD8Zg/45fOnSPpIp6EgiecsBlJYBE3uXDhAnbu3ImePXsW+7dNmjQR9QtGeJ+pJIzucdJPSkqyStVhXU1GRoZT+8jPYS2CkeXLlxf7N1q00tGoKlNRWF9Q1H46+34SiaRoLl68KFYrSL169cT/b7zxhhCX4G+b4hO33347fvvtN7+PavoLgWzrHLEhjiBtnUTivyt39erVE2JMTA/XMgGYpt25c2erjAJ/QwqqeIDY2FjceuuteOKJJ0SR9JYtW8RScVBQUIkXVaxJYL49lcVoIHnCMh+fJ6sxpeTjjz8WxaM0/pSBtY3+lQSjGkxLYZE7DRE/o6Q0lcqVKyMyMlK87sSJE8KIFwdrLPi+Re2ns+8nkUgcM3i86NYuKn/66ScRECJ//PGHSHuTSHzB1lH8pDgb4gjS1kkk/rtyV9ds66688kp97uCqOcWazp49C3+lVM4dJ1kW9TLyxtSe9PR0vYajf//+YiJjkbIxDYGTOlWvmDNPmWNjFCsQeffdd4UTNnjwYDFmHBdGECMiIor9u7Zt2woBBDZobN68OZ5//nm8/PLLVmIqVAarUaOGaN7I74cnNCWenYFRjYkTJ4rvkQpms2fPxnPPPVfs34SEhOCDDz7AZ599JgrmbeslbKGsdc2aNYvcT2ffTyKROB7N1OCKyjfffAPE9QAafo1n3lkt+3NJO+cTto4OWXE2xBGkrZNI/NPWhYSEiN+dxuuvv46uXbvqoit+3R5BcZKffvpJufvuu5Vjx44pBQUFys6dO5Xs7Gxl0aJFyuWXX64cOnRIOXXqlDJ06FDlt99+E3/D5/kc72dlZSkfffSRcueddzr70X7NxYsXlfj4eGXSpEllep/8/Hxl79694n9Jycjxchw5Vr49Xu+88w69EHGbMmWK/nhGVoEy+sN8BT1yFfTIV9A1Tdm4eXdAj5e0c95t67zpXPEF5Hg5hxwv3x0vztexsbHCztWrV6/Q8+vWrdPt4IgRI/x2vJxauWM++JdffimiWiyoZlpFgwYNRGrPX3/9JRSnuGJUsWJF3HTTTeIxQulRpiCwuSebkTItgwpV3qzy5WqYnvHDDz+I5WOKGGiqdTJiJ5FIXJ2qoq3crdqmoO2dCt6byntmcxAchcVrTyNQkXaufJG2TiKRuIvTp0+LFiy2GSoanMs1uHrnrzglqMJi/KysLNFok31rYmJicPPNNwtjt2/fPlx66aX6a+vXr69fTHCJ1DigTMegceTj1atXL/Q5TAmyTQvi8mp5ygt7GgqfMKWEzU55XExBWbBggah9KYsSlva3Uk3LMeR4OY4cK98eL6NzV61GbYydVIBx3wL5dnZv5ZYM3O3m/S7NeLF2q7yRds77bZ23/ba8HTleziHHy3fHi/0rNerUqVNon1jbSoGjU6dOCRExT+yzs+NVGjvntHNHxTV2fv/zzz9x6NAh3HvvvUKJhspPRglgbmdmZopt/m8rD8z7Ralasckpc+CNUKabBZD+Ag3bL7/8Uujx8ook8LuROI4cL8eRY+Wb48WLaxKR1A6DnknAFsNU07x2NppX2oAfV6nqYRt25XksqunMeNF4lzfSzvmOrfOW35avIMfLOeR4+d54GZVvk5KSCs0zu4+GIL3+30DtBBzeepUQUfJUQM3R8SqNnXPKuWOqCRk5cqSISjJKOWDAACFPzOJgreCccJseMuH/xue054sqfKYct5a64c8RTVfASABPGBaRuiKq7W/I8XIcOVa+O15MNRTpgSEJyGk6F1sOqHN5SDDw7M3A0zeFY9GKePy4Sn39ibRKSElJCcjxknbO+/GWc8VXkOPlHHK8fHe8tJRMwiwBox37YS5w93ggI6S66v1Uvl20VfFHW+eUc8cBYE2BUcJY26ZnyeXQXr16iftMVdHyXSlFaozcMeXl8OHDukSpLTRu0sCVDZ4wnv6R+RJyvBxHjpXvjRcNiWianNAOBaZY8VijWsB3Y01o10idwzu1rgnknRcO4OmsKh7bZ0+Pl7RzvoOnzxVfQ46Xc8jx8r3xMqpCN2jQQOxPdo6C0R8p+PR3mxdH1BUZGkyv97fxcupdGZns168fvvjiC1ErwPqDOXPmCGnjyy+/HNOmTRPG7MyZM/juu+/EY6Rdu3bIzs4WPZT4dyxWpxSyvToEiUQikbjI4EVaasIeHWpx7EhsbAxCctTUzRxUxoWLFon/QELaOYlEIvGPfq77jirodr8dx45E1PZbURWnXcYxY8bg/Pnzol/Nww8/LJpxtmnTBt27d8d1110nGpbyf/aO0dSwGJ0cP368UMxi01GqZ7ExqUQikUjcKKZicO4aWtr/6CSEWpQdN+zOQ6Ai7ZxEIpH4rq2rVKkS5m2IQdu7FKxRY5aICAO+GGNC1QRz+nxEbezbtx/+iFNpmSQ2NlYYsKJqCHizR7NmzUQzUolEIpF4auWuof5YgxqFX1c98RxOX1S3F689j56tKyEQkXZOIpFIfAumwmutZxLq3YarnrFkn9SvDvzyigmt6pvw+e8Kjp2nBxSPnXtPwh+RycQSiUQSKCt3EWptQVQEUK1i4dc1qpGrb6/eluW2/ZNIJBKJpCwwhV4jLeYmffu63sCaSapjRxrXVkWzyK5D/pmhIp07L4UF/L//bi9JWFKeMCebtTESid+v3JlCgMi6ekqmUTBEo1XDUH17+0FpHiSS8oBtNN5//32HX//VV18hISEBvkzv3r3xyCOPFPsaeZ0jcVW9XQbU1JTEWGDqSybERVvsXYOaFiGrQyf9087551H5CLfddhuGDBli97ljx45h4MCB8AZoaDgJ80Zln6pVq2LYsGFCZcjXYU+UG264wdO7IZG4fuUuoo7q4BWRkklaNKoC5JwQ2wdPq6qaEklZ7ZxmP4y3yy67DP5GUU7ZqlWrMGrUqDK1MnnjjTfQuHFjIfjD/l2dOnXCpEmT4Gnmz58vvk/WqDqLN13nSPwoQyUoEqnZCboqtG0gs3YVy/bpizHIy/O/1Tuna+4k7qFKFcPZ5yEURRFGhcTFxYkmyHyMS9/33XefaLhrbBjpCijfTllyV8Gi26KaDEsk/sC5c+fEDYld9McaFuHciX4/GZuBsGSk58bg5DkFlRMLr/BJJM5AR45N2+31EwwEaGfKwksvvYTPPvsMH330Edq3b4/U1FSsXr1a/V37MN5wnSPxw5W7iPrF2ro6VS3bSniKqNNzd687VyNX7rwUY7rC/v37xX1KcFOFjU1xW7VqhWXLlln9zeLFi0X/Jcpv80R96KGHrJrqTpkyRRgGigVwUr3xxhtx8uTJQhG4v//+W8h60/jyPbX94d9w1a5r16648847sXLlSmFkNCgBzqaRbPzLdEcaJGNEZPv27UJtjs83bdoU//77r93j/Omnn8Rx8HWUGieMUPK4+Bijl5988on+vpQdf+CBB8S+8Xke+7hx48RzdEZffPFF1KpVSxxPtWrVxLgUlZbJ1Uiq38XExAiHdujQoThxQl3JIHyv1q1bi7Fkqk18fDyGDx9u1ThTIvH2NggNa9p32ISBS9+i399iKWGQSEoN517aD+MtMTFR2ByqjC5atEh/7VtvvYXKlSvr8y7T+zi/88b5tmLFinj++efF3K5BJ+eWW24R70n7yNWgXbt2FVpRmzVrlrAjnN/pcHLlyEhxdqYkO8xjodDOhQsX9NVJ2gt7aZnvvvsuWrRogejoaNHImMHSixfNSkZ2+PPPP/WAKnst8nNpgx9//HH9NRynBx98UKRCchySk5MxceJEcQ1wxx13iM9r2LChsO9GFixYgI4dO4rviDb0qaeesrLbbO9Bm8nvhONCG86VSG1MOBaEn8lj5kqtsVnzk08+KVYa+Z1r41GW6xweE8eMz1999dViLH09hVVSzit3UQ2LtXW1Dc4dwmuLc8/fkM6dD/Hss8+KyXz9+vVikmY6oTYJ86Smsbrmmmvw119/CTluOmY0iMZVMEpzb9iwQUyoPKGNE7EGJ3emgGzbtg0tW7Ys9Dwdwt9++w3BwcHiRmicaVwpG75161YRZaRBfe2118TzXAFkCionZK72ff755+J47MHP5/vw8y+99FLh4NGY87342Ouvv46xY8fi66+/Fq//4IMPhPGbOnWqWF3k62lMya+//or33ntP7A+NPY+bRs4eNER07M6ePSsMHntb8cKYKahGONZ8nxkzZogbX8vxkki82rkzGLyi0jJ58RwFi0cnnTuJO+qybr75ZuEUsX0E53Y6WXRONDjXh4SEiIDihAkTxJzOIKAG7RhXsmgH6AzQ8WP/Qdo8DWZovP322yIwt3DhQhHIMzpHJdmZkuwwg5504BgUpNPIm/H9jbC8gXZry5Yt4v3/++8/4QQVBR0jvubUqVPFjiffi84vx4mO3r333iscwi5duoixueSSS8RYa9kqXLHgOHXo0EFcF3z66aeiv+Orr76qvyf3i3aU77127VrR8Jl2mXaSThafI7S9PGZ+P8b9oQNLm0+n/eWXXxZ2tbTXOUuWLBFtSXh9wOd5PNo1hkSi2brgmKbFtvypkgSEBJkDGBEpfunccRL0O9rdla9Uv8b9N36uM9x6663KVVddZfc5fjW//fab2N63b5+4P2nSJP35LVu2iMe2bdsm7t95553KqFGjlPz8fGXv3r3i/0WLFilBQUFKZmam3c9YtWqVeI+0tDRxf968eeL+77//bvW6yZMni8ejo6OVqKgosc3bQw89pL+mX79+yuuvv271d1OmTFGqVq0qtv/++28lJCREOXbsmP78nDlz7B7n+++/b/U+9erVU77//nurx1555RWlS5cuYvvBBx9U+vbtqxQUFBQ6xnfeeUdp2LChkpOTY3cMUlJSlOeee06M1+zZs5Xg4GDl4MGDhcZ55cqV4v4LL7wgxiA1NVV/zRNPPKF06tRJ8XeM55bEd8Zr3Lhx6m+2+SwFPfLF7fT5wr8VjQZtb9FfN/KtvIAbL1/CF2wd7RznVdoP4+21114Tz2dnZyutW7dWhg4dqjRt2lQZOXKk1d/36tVLadKkidX8/uSTTyr169cX58rOnTvF+b1kyRL9+dOnTyuRkZHK1KlTrWzY7t279dd8/PHHSnJyssN2xhE7zM+Jj4+3a2fee++9Isfo559/VipUqKDft30ffg7HgPa8RYsWyt1336389ddfhcape/fu+v28vDwxzjfffLP+2zpy5IjY32XLlonXPPPMM0qjRo2sxpbjEhMTI/7m4sWLSmhoqPLdd9/pz9OWVqtWTXnrrbesrhvOnTtX7P6QDh06KGPGjCn1dc6wYcOUQYMGWb3niBEj7I55WZBzke+NFz87IiJCnC9xHabpNmz9Lvu2rtqVF9TXdL2gvPjiS343Xn5Zc3f8LHCk+ACXT2JcRWP6hLaKxvQRRt02btwooo+cM5newP+5GsUaOaaarFmzRqRF8LVMY+FzhBFMpklqMHXTFqZyMmrHSCjTOvg5xogZ35NRNeNjXK1j3xFGCRnVY5TPmGPPVBB7GD+fKSVcKWMKysiRI/XHGcnjKoMWtWUEr1GjRmL1cvDgwRgwYIB4jlFLRlOZfsnnGKW84oorRBTYFkZruY+8aXBcmPLB5xjdJFwV5HgYvwtjeqtE4s097pLigArxRdfRNayRh13mUp51O3L4h27ZT4n/2jqm2XFVyAhT9QjTMmlPaN+YFsxVOVvYLN4oisD7TMejjeHczPmcAiMaFSpUEPaAz2kwa6RevXp2521H7IwjdthRWJLA0gGWKrC0gZ+j2Urupy20Q5s3bxY2nHaWK4+0Y7R9RlEV474xq4bjYMxU0VZDtePm+HBVzzi23bp1Eymihw8fFiIptPl8TIM18LTdxrEtCtvMH0dsZXHjy+sIpmIa4b4wg0YS2Bw/flz8hkhQdCMgv/gslZRkBUdp54JjsGPvafgbfuncccnVHz/XKCyiTcaag8bJ+O677xZpmEy1qF69ukj9IKw3o/FiKoWW5sgCbzp1vM+aNSNMo7CF78V0DEJHkYaQKR9McdE+nzV2TAu1hXn6zmD8fK0OgXn2RuNNtJRQ1vnRgaXTSaPJOrn+/fvjl19+EY4aDQIfZzoI6xbYnJiplKUVarH9O34X2vcgkXhlHUJQJBBRq1hjp9GgbmVgyUHx+u0Hg/VgkcT78BVbxzldsx/2WLp0qfifqX682bNBZcXevK3V7TliZxyxw47AFDAGIGk/GQylk8sSCjqWtMX2nDvNBjPAyBtTWb/99luRYsk0RtbhFXWMZd3fslAaW+nJ/ZX4Qb0dm5lDDdDXrMyervZtV8OUcCzbrm7vOmhJ3/YX/NK5Wz0x8EoJ6eCw1o0GlJMjI6Cac0c2bdqEM2fOiNowbWWKNQqlhXVxjIKOHj1afDZvdKKKMuCMoh46dEgUyWvRQ60ouzj4WoqgcPVhxIgRRb6OdQ6sjePtuuuuE6t0vEig4aR0NKOcvN1///0iAsjx4D4bodPKfeRNGyOOKaOXxpVNicTnVu4i6hVbg1BIVGXOFuHcXcwKwdHTQPWyif1JXIQ/2DpelNGO0LFiHd2tt94qgnFG+2Wrysz7zKCg48V5mytffIx1b4S2jvbI0XnbUTtTElyF1BSmi4Krb3RW3nnnHf0YWS/uLNqxGUXTnIVjx5o5YwCHK4PMTKlRo4ZY+eMx8TFNTZArebTdWg87Pk9KOu7ygNcRttcNjlxHSAIoQyWkArLyo0u0dY1TqNarBncO+mGvO7907nwJFpGzMNgIJ1RnGTNmjEhVYRE1Uw8ZAWTKB1erKJ/M1TtOwh9++KEoSGaKB8VVSgudH6ZHsACdKRH8n9FIfg6dKxotpmryc1iczbRJOoM03Cysprrkc889J96rpFUBrghSrYvpMXTaqN6lyUA/+uijIj2H6Rtt2rQRn/vzzz+L9E+mU1LUhUaH0VhGRBntpLNnT/aWq31MYaFxZyonLxi40kflTnupqhKJt8N5QPSjTLT002xYo/jfmxAjSt8MJKn9pzbvk86dpGxwzmbalBGmUlJh8aabbhIZJFSa5PzOOZiOzxNPPKG/lucw53pmp7A8gDbt6aefFs81aNBACGExnZLCWXRMGHxk9gofd5SS7Iwj8LfDVcC5c+cKpUfaHNuVOAZA6SDRFjPgSMfpf//7X7HvS5vK1Eg6r7RtzFTh8VNwxJl0UFto32jreN3ArB86xC+88II4XtpSrqByhZHfBQOltO+030wf5UojoS2lDed1AK89aF+pRuoKuJ89e/YUNp9jR5EZZuzIzAKJvnJnLj8oybkzKmay1x2vE21X6X0Z/3NXfQzKJ9MpMd5oZJyFeepMNdy5c6dYvWIrAzpcjEYSpmHS0aHjw4gfV/CoHFYWGG2dOXOmUOaicebkPnv2bJE2QkeTtROaE8UfDRUmafj4/F133aWrZZaUtsnXsq6AfZJo+Ols8Vi0VBQacxocOmB8b6a9UDGUxokOHiPCNIwcI0aEp0+fbteBpoFgOwdecNCA0NljrZ5RlU0i8SV4USxSmiItK+olpWWqve626vc3mwOiEklp+eeff0QAznijpD7TEg8cOCCcMsLHqaTMwB+DgxpUYs7MzBT1Vcy+oBNGFUUN2gbaPAYYWUPGlSjaAGdS70uyM45A54vBU9pg2lzaJVvo9NE5efPNN9G8eXNRJqG17ikK2lfaLTo0dOgYJKVTR3trr37cUegAc5xow7lf3Hc6bVrglfBa4dprrxUpoMx22b17t2gpQTupvQevWehQcwXUqNBd3tCO0xHm+HF/eV7xOsTZ0g+J/9eWk0ZFtPyxbWReEFqzUFsUX8dEVRVP74Sk/OCFHI2lbVqmN8KIJQ08jYWx0N2d+NJ4eRo5Vr43Xrz444UhGkwCqtwuHls7yYQ2DYs2elypSKrVH2ijpjvdNhCY/HRQQIyXxDvbJbC3qLFPnDxXnMOfx4srtsxSMvZKLCv+PF6uwBvGi4EV0RMx5VWglrqq/9dbJgzsbN/WnTiroMoQs/tz9m8s+l+8uB71l/GSaZkSt8HeeEzXYBoNHTr2qmEkzlOOnUQSOKkqDRxeueNqd2zwEaQpBYApSPa6k0gkXgMzjljmwZRRpmSyl56x2bwksG1dRFJLZDmQllk5Ue11l1cQYu51t95tzp07kCEJidtgnZ0maEIJZ6ZQMg1SInEFFMNhqhAFDAIVS6qK6txVrQDERBVfn8L05Nq1KgNZqrHcsp+RRpngIZFIPA9TSOncMXWWKZpsBs+U2kCF2gAcB6qAa83eAw2W+2gtNoKim4j/Q0PY7qB4O5ccn6neCa+N/fsPwJ+QK3cSt8G6Cd4kElfD2koK/nDSZ0sMrhQHbDQzOB4IS3ZIKdMoDLFp91bhFGZkAfuPA3XV8l2JxO116RKJRmmURf0V9nVj7Sn1DLSaVQoUBWwQEyZkBdUUIpj1qlG0qQTxsCoKjohed1HYtucM/Am5cieRSPwKCuBQtU3rXUUHh6q0gYgweoaUTGecO2Rs1u9LURWJRCLxHtiiifXUmmNHqCQbiOjOXXhNFCiqiFIjta1rsbDXncbuQ7mB7dyNGjVKFC726NFD3KhaRajkRLl57XHejNLHW7ZswfDhw0WNFd/D35RpJBKJ56FEOiOZlBo3wuLlQINaWWLlzqrezjHJcFUxc4t+n+0QAglp5yQSibfCeYVqrgsXLrR6nErhgYizbRA0GhmcO3/rdVeqtEzK5DIybguliO0VtrLX0pNPPilUjQYOHCjkhseOHSv+l0gkkvJwZNj6gz0VNZiiol1csy8UW2EEEqdPn1ZXL5MMK3cliKlY97qbrN/fso81d4HVS0raOYlE4m3s2rULAwYM0B25ihUrCoVj9mmjnQtE7LVBaFhMGwSNutX4GrWe/FRqjFCx9Bd1VLccBQUN2G9myJAhCA8PF31Utm3bhiNHjrjj4yUSiR/DInI2NzY6drwwF72jwqoHbESztNFM3bnL3AkU5Abkyl1pkHZOIpG4eo5hVoBmzzhPs6UUm8sHqp0r0tbVKPnvjL3u8kNr4MSJEwjolTs2kOSNzTTZQJLS9mTTpk3o168fkpKSRBPP6667TveqtdcQNpysUaOGeJwNMO1FQHmz2tGQEISFhZVmdwMK0bDY8L+keOR4+fZYccWOaZgUTdEUsNgP6/77H8Cg0ceBTjcDJ3/Avn2r3L7fnh4vXUTG3MCcAUkWkDuifFmzJovSc1UHL7oZth8EsnMKhAKZN42XK6Os0s55L57+bfkacrx8f7yWL18uauy0WnJmosycORPVqlUTTh5X7ViHd/bsWdHOJpDGS1u5C45pgnzzY/Wrl2zrahnVNMNri/dJTi5GYtND41UaO+e0qWbtQd26dcWHUbiA93lh1bZtW3G/SpUqQoL88ccfR2JiojCCmZmZoieJEd7PyMiw+xmTJ0/GxIkTrR67/vrrMXToUGd3N2A5dOiQp3fBp5Dj5ZtjRVlszbHjqsk777yDwYMHY8zH5zBrvTksV2kotmz93mN1d54aL7243hzNrF4hF8ePHXXYaY6KikIG6+6imyEnF1i46gjqV8vzqvGqU6eOS/ZB2jnfwJvmIl9AjpfvjhfnGs2x69ixIz7//HNRW067VqFCBSsnsEkTtR1AIIwX01G1FcugmEbCuYuJLEBW2iEcUIerSBQFCA2qgtyCcCCiNlavni2cZW8br9LYOaedu+bNm+vbt956K/78808RyezcubPVa1hUPm/ePGH0IiMjkZ6ebvU+vM+LB3vcfvvtGDFihPWOyoimQzASwBOGkXd/yR12JXK8fHusKHCh8eabb4o+in8tB9791fAiUzAOnw5SRUICaLwYwUVoZSAkXtxvXDvUqTFgNHhr2mbhHJNz2dXhyiH09HgZkXbOu/Gmc8UXkOPl++O1Y8cO8T9Xlv777z8x32iw558W5GR7hECydXRuhYCaKRy5wWqGRONaQahd27ExSE64gMNn6dyl4GJ6hlvGzh3jVeYkm6J2jOlRjP4SRkC1E087+Q4fPiwetweNmzRwZf9evGVS8gXkePnmWO3cuVPf7tChA/YcMeGmVxURkTNy8GSYx/bZU+Nl2wahUU3n0juEc7fCopi5db9r0yC98fzSkHbOO/HGc8WbkePlm+NFcSwRrDMHlWwzBIwrOwcPHgwoW6eLyETW02VEGjph61KSFRzm0AZFYPuec27df1eOl1PvmpaWJpZ8WSdAT/m7775DamqqONmWLl0qFHvI9u3bRepKz549dXWx7Oxs/PHHH+Jvv/zyS7FsbK8OQSKRSByFc41G9VqNMORZBRfMqRgV1QUrQUZBsqhHCCRU58459bDCipmGXncBIqoi7ZxEIvFWO9eoUSP7c7WZQBNVKa1Spkbj2pZ2CLsOub7swF2EOKtK9/HHH4tlUKaPsNB8woQJiImJwYoVK/DCCy+IuoPKlSvjlltuEcWfhNHJ8ePH45VXXsFbb72Fpk2bim2JRCIpj1SVxKQkPP55BbG6RJrWBsaNMuGqZ8xLeBH1RISvTZs2CAQ4DwuVxtqqmApp4GAbBA2RnpK1F8jPBIIjA8a5k3ZOIpF4o50jjRs3LvS8ElEPiGoOZGwOuHYIFqVMQ5ZKLcf/vnGdSL/sdeeUc8fC8SlTpth9jmpivBVFs2bN8OOPPzq/hxKJRGIHFpcz7Y3ENH4N08z9XONjgN9fMyHcmPEWUVdENAPFudOjt6Vog2AdDS4AMrcBMW2x+wiQla0gIty/+91JOyeRSHxh5Y7z8bMTFbw7tQrQbgOwsU8Ar9w1crqfK6lTxdjrLkqk2TPd3tfxHzdVIpEEFHq9XeLlOBR8l9jknPz9WBMa1DShekUgJMgsjBypOneBGs1kC4MUJxWe9VSfdLXuLj8f2OE94nESiUQSsCt3m/Yo6Hg3HTvDCxP6Czun1QEHlK2LsgQyGzgRyKxT1bKdF1wDp06dgj8gnTuJROK70cyQJKDxFH0qe+VOEy7vokbdgoNNqJaUrb44oi727t0XYI6vCYhQ0zLrVVPHwxl01bAMQ92dOUgqkUgkEveu3FEhs1q1GnhvqoL2oxRssp2Pw2uJ+mCtLtjfoRO7a9cusR0Ura7cVa0AxEY5butqG5w7tkPwlyCwdO4kEonvRjMTLwFC1IatV3UHnrnZ+jX1apinuOBo7Nh3AYHC+vXrgfAaolauNCmZhDVlbMSN9K36Y1sPBE5EWCKRSDwNxZm01MM6jXvgsieARz9SRO9R0szYAi1CLTbzFwelJFhfSGeW1wAFwRVLZesSY4HwEC0InOI3YyedO4lE4rvOHYvIzdxxualQrnzTOhH69p4jgeOYrFu3rkz1doRjKVbvMi3tJnapJY4SiUQicQN07NioG7EdsTv2Z8xdY3nusWHA6s9NSIozPxCuZlv4i4PikJ0jEdYtf5y1c8nxmeqd8BTs238Q/oB07iQSie+mqkS31O+3sNNOrH51i7N39GxEQNQiUMlx27ZtVuphDWqUrkBc1N1l7wcK1DCxdO4kEonEA2Iqdd5GjhIjNqtXAv59z4S37w8SAld6PTWzNRAcMM7d2rVr1Y2oRqVu+aP1uhMEhWHrbv9IaZXOnUTi5aRnKpi9UsHTnxXgyqcK8PXf/u+glERBQYFaVxatrtzFRgEpVQq/rp6hxVgWqumNYP2ZTZs2qZFeg3NXmpU73blT8oCsfbpzFwgOskQikXhNhoopHIjtIO7XrgJs+sqEfu0sToxu+0whQFjVgGmHoK/cldHWNUwx9Lo7mIOAa4UgkUhcT06ugiWbgHnrFPy3Fli5Dcg19Nb8e4WCgZ2Byom+L9dbWg4dOoTMnFBRAE2a1wGCggqPR91qhjuR9UREs0KFCggMg1e2tEwrUZWs3UKNLD0TOHYGqKaWN0gkEonE1St3MW3EqhLp05Z1Yta2rlZlwx0/qhtz1NaFxjdHbhlsXbO6Ufr2wZPB8Afkyp1E4mWOXad7FPR9RMErX0M4eUbHjuTlA8tVdfrAjmaaV+2KSsks5NxF1AkIo2epQ1CVMqMjVQWx0qC3QzDU3e2U7RAkEonEfbYutpN+v3PTwkHMFNGrzUx4YDh3x48fFzcSHq9eCwQHW7c2cJQ61Szjd9Lc687Xkc6dROJFLN0MrFeVfXUa1ABGXQE8fJ3lseVbfX/yKXM0M6qFfr9lPfurmJHhJiRGZah3IuoFRLqKcO6YnhNZVz9/StuU1eLcWU5KWXcnkUgkrodOhrB1cZ31xzo3K/w6qx6m4TWFnfMHB8WhICZMyApSVULrVgXCQp23dUx11cgN8o/yDencSSRexMINlu0nbgAO/2rCzu+D8NkTQXjiBsuktUyu3Dm0ckdqVTYvfYYlY+eeY/Bn8vLysHHjRrFKKRw8pqmwxh5lTMs0OHc7D/n3RYNEIpF4A6dPn1Z71plX7piF0cwcbzNSy+jcRaQgPT0dZ86cQUCIqYRVQ15BWNlqy6v4X6876dxJJF7Ewg2WC+f7hphQvZLFoeN2TXNu/artvJBXAlwp07Jy16Je0a9tlBJq+bv95n42fjwuWVlZVtLQXLkrLVWqVEFYWJhcuZNIJBJP2LmwqsJhIx0aM/XQXlqm4U6AtEMoz9ryhFgTIkKy1Dvh0rmTSCTlSG6eoq/I0Ymzp/6opWRQ2GKz/2cYFsl2sXKnOnc1KhUuMDfSrJ7ayJvsPx4UGAbPsKpZGmlojaCgIHX1LvsQUKAaP+ncSSQSiSfq7ey/rlICEBEWWI3MLWIqzcrF1iXrve5qYu8+3+91599XOhKJD7F2J5BhDh71bGW/TqpLM8tjy7ciIElLS8PRUyYgJKHElEzbXnfHL0T7dS2C7tzFddMf61TEBYFzqZkKkLlb3N99BMjP998xlEgkEq9ZuStBTIXwWkFPzQxXnTt/ri+/cOGCaO5OKtbsWuoG5kZSqhSoG0Gh2LL7PHwd6dxJJF5Yb9ejpf1J3Bi5W74lMC+w1f52hpTMEpw7o2JmbnBNUcfg386dCYhTDV7F+NKnqhQlqpKTCxw6WeZdlUgkEklJK3dxnRwK1OmiKsExQEiSX6/crV+/Xt9mGwSNsti6Rla97rTGCr6LdO4kEi+st+PKnT3aNqQaVGCLqhSutys+FcPYyJyKmf5q9LgiKZy7qCZAaJJ4rHvL0itlFi+qUrZ9lUgkEknxbNu+C4ixNC+vUqHoudy27s5f7ZyVmArNElSPLiqibP1Xm9WL0bcPnvR918j3j0Ai8QMKChQs3gh9taWx+XralvAwE9o0sFxgn7mgBKhSprENQvGv53iGh5iFVCLq+G26Co+L6SqI664/1r1F2RvdW1bu1LRMIuvuJBKJxHXk5ORg38kYIDiqyBYIRlKSDXN9RC2/tXNW5QehVXAqLU7P4ClLILOuTa+7ggJzmmagOHejRo1C165d0aNHD3F76KGH9Oe++uor9O/fH3379sWECROsalu2bNmC4cOHo1u3buI9jh3zb0lyicQZKI5y/qK63aOI1ZZ58+aJ309Ixmr9sRVbA7sNQkiwgsZqiUGRcCyrJph73YWnYM/eAwiUejuu3JWVZs2a2Wlk7t9BBWnnJBLPkJ2djfvuuw99+vTxawelJPbs2YOCaHXVrrh6O7vtEMJriZU7f60v12xdUIUB+mP925XtPWsbVj5zTFWxbds2BNzK3XPPPYdFixaJ2wcffCAeW7x4MX7++Wdh+KZOnYqlS5fijz/+0CMQTz75pDB6//33H1q1aoWxY8eW75FIJD7MQksKOXq2MtlNQxg8eLD4XS2d9W5ANzPfun03ENlEz7F3pGlp7SqKoVg6FX7t3MWrK3eR4dBXectCy5YtER8fH3DtEKSdk0jcC52RO+64A59++inmz58vgieBSiExlZJW7mzSMjMzM3Hq1Cn4GzwuzfGKT7lWf/ySDmXLUqld1XAnPEWcf75MuaVl/vXXX7j66qtRo0YNVKxYETfddJN4jKxZswahoaEYMmQIwsPDceedd4ov58iRI+X18RKJT7NwY9H1dgcPHhSOXUaGuvqkXFimP7c8wOrumCqx85BJOGmkVX3HJvSmdSP07Z0H8+G3zl1YDdGEVSu+d8TxLYng4GD07NkTyD0O5KWJx3YGgHNnD2nnJBLX8fzzz+P777/X7+/ebUkFD+Q2CCFB+Whdv/jX64IqxNwXzx/r7jZv3oz8fNWGZ0V215u7dynB+S2J2CgT4qPz1DsRdXzeuQspzR+9++674tawYUOMHj0aDRo0EMvnl156qf6a+vXri2VlQslSvkYjIiJCGEc+Xr26Ue0AegSUN6sdDQlRm+lKikXLE/b1fOFAGi9mTiwyK2XGRjF3XBE1eIQ1VIMGDbJO78o+iMToTJxLj8SKbWxmXoCgoMAYKxqrnBBL09LmdRzbn+aGXncHT4W45RjcPV6iyDy+l36/e4vy++xevXph+vTpQBYL/Nti/zEgO6cAoaWyIOU3XuzD5yqknfNevGEu8iV8Yby+/PJLvPrqq1aPHThwwCP77A3jtW7zQSCqkdhuUjMLoSHR+nWBPapW4HzIfVZ7tRHOTe3bt/er8Vq92lyWEtUcmfkJekCcJRrFjY8jNKgRjNU71PH7b+Ea4USWVZCsPMarNHbOadPM2oO6deuKD/vpp5/E/V9++UWsKkRHR+uv4zaXTwn/Nz6nPa+tRNgyefJkTJw40eqx66+/HkOHDnV2dwOWQ4eknJ2vjNe+4yE4fla9+GtbLxOHD6s687m5uSL6z0iVduGXl6dGlipF7MO59KZITQfmLjuKhjVyA2KsmCJnbNBdOeYkDhwwNx8thphQrtypoc3TF+OEk+iKSdtT48X0m+PHjwP1LPV2DSqfwIED5saJZYQOjoCpmTFtkV8ALF5zBHWrmCOdHhqvOnXqwBVIO+cbSDvnH+PFdOd7771Xv6/ZOs7T7pyrvWm8Vu8IAswxydb1snHgQMktfJITquPY2RCRVqi1DOjcuTP8abzENQBJ7K8/1r7eWRw4oGaVlIWmNROxekccYArC2dyG+Pfffy22z4PjVRo757Rz17y55cLq1ltvxZ9//olNmzYhKioK6enp+nPcjoxUz0z+b3xOe55/Y4/bb78dI0aMsN5RGdF0CEYCeMLUrFnTpVFtf8Ebxutf1XcTDOgcKaTnWXtAQQYaPVKhQgW8+eabuOuuu8T9imG7sRNq05sD56rhEss1vV+P1blz54Boi0pI/86VrQvJiyA/1LhdW8xJyckO/KGPjNfWrVutxFT4cVf2SUacta9RargCxbq7C4a6u/T86tC6JPjL+aUh7Zx3403nii/gzePF4OUDDzygBy4ffPBBIUzEutWLFy+KeScxMTGgxov2/0hqDd25G9g9CSkpanubknq6HjsLIKwyEBQpMn/0VjZ+Ml5apgQSLGIqQy9xbHxK4rKuwDf/mu/EdceuXbtwySWXwBfHq8xJNdqO0bNkfjTTd7QvoF49VaOcEVBGPTWysrJw+PBh8bg9aNykgSv79+Jtk7g348nxWrzRsjTfq7UJQUEmjBs3TqSpENbvULSBE4G+v+krAVwptlduA0ZdGRQQYyUamEcNEdsxEXlIqRLqUFSXgipByEMBgoGIuiLdp2pVYwW1b4/Xhg0bgOA43fFtVQ9IiC2/z+T+s+5u+gqLc7fnqHquBsLcJe2cd+KN54o3423jxXKDK664AqmpqsjVlVdeiffeew8jR47UX8PfEIObgTReJ0+eRHaopfi+a3PH5tqUKgVYogWLw2uKVU937r+rx4sBgI0bNwKmcJgSe4JJmOxt16yOqVxWd3u15juaUzvju2HBgk9E4MEXx8upd01LS8Py5ctFnQBTxr777jvxo2SU8/LLL8e0adPED/HMmTPiOT5G2rVrJ+RteYHKv+VFa5MmTezWIUgkgcYic3+7iDCgfSPghx9+wDPPPKM///XXXwtp9WrVqglxC5J2dB5C1E0sD6B2CJu2HRI9fEizOo73tQkJMSExyqySGVEP+/bt9z8xlbguIp2kvFog2CIcGqtG5v6p1CrtnETieriqTceOgmGEtWEUU6GNq1XL0t+GgbhAY+tWKmV2FNtRIRccyk4p3A7B/xqZU2SGQTPEdYViUpc1B3QoW387I9UqmlC3mtmuxXbC/IXLfLadRJCzXvPHH38sevywqJy5r5SqjYmJQffu3XHdddeJFBb+zzzfq666Svwdo5Pjx48XF63sXcILkVdeecVVxySR+AyHTijYZ9ZKobphRvp5q6jl66+/jmHDhukpW9qF4qEDO9HKrJ61dT9w4aJvTkDOsu2gJdmgTUPnEg9qVDSLV4TEYsvOE/AnhJiKsb9dOTQvt6V3794B0Q5B2jmJxPXQtlFhltCZo2CTVrNqTCUMROdu4erjQKiailo/+azDzktKFWMj8xQxdr7qnBRp52zq7S5pX762rrtmO4MicDorxWf73Tl1dcS85ylTphT5PGsIeCuqEe6PP/7o/B5KJAGwaqcpPrFvlla3Q3GFp556yur1NHqMdJ49exbXNcjFmh2hQm2TqZmXWPqd+iVcPTmTaWnm07Kec5N6vepB2KAGibFlT8kiLL4C6yqoyIiWqiy0q1buWrdujbioPKTmngFCK2Cnd2ozlBlp5yQS1zN79mzxPx2XmTNnokoVy9xudO60lb1AYukmS7ueDo0dV6C0aocQXkuscp04ccJqbP2il2uCpQ6ufzmLgfZoZcI3s8wOcVx30RKhaVNV38CX8J7ka4kkAFm4wdjfzoSVK1lLp8KVAduInTFdpW4lS4PSZQHQ707U20W30O+3sF/KVCQtG1jURfb4UesxKqLBFAbEdNSL6pleUt7o/e7Mq3eHTgKZ2f4TFZZIJO6B6cuiThhA48aNrQSMSKCnZW47HKdvX9pVlft3Pi1THUO2b/EXhHMXUgGIaSPuM3upcmL52roexsCo2bnzRaRzJ5F4wcod6+fYhHPVqlX6cx06FF6KM0Y0K4VbGrwu3+L/F9nbt28XvW2MPe6coUUDi2rh0XOWvnd+YfBi2gLBkXp/O1dhm5rpT06yRCJxD3TsWM9alJ0ziocFonN3PKO2uqHk47KujovJWDcyV507f6m7Y3qpCGQm9NNry1lvV940rAlUStBW7rpi3vwFPpnaKp07icRDnDqviHo50rYhEBUBfeWuYsWKqF3bPMEX4dzlpO5AxXiLqEpZG3h6O9u379BX7irFZSAh1rmIXf0altefy0zw6oa+zoupGOrtWrquJ1RhURWXfZREIvFTjBkqHTuqGQdGqBCtqRkHWlrmmfPZyAlRe6tFFuxBbLTjl+kxUSYkaYt+5l53/uLc8TjOnz/v0no7wmwpve4uNBGn05N9su5OOncSiYdYbFNvx8mLCnxaNNNeEbUxXeXgwQNitY+cS/NfgQuNddvOACGqN9ustvOObB1D54OCsNpq029/KTKPN9TbuXDljnV3kSbLibbzsH8HFCQSSflTUoaK0dZxnhYKiQHC9HnHAJMqhV09zvnomb56F16DyfR+k5api6mY6+3Cw1xTW67V3enEd8eCBQvga0jnTiLxwno7e9FMeypinZtZJqHlfl53t2Wf5Vg7NrPfGLo4YqNMiAxJU+9E1POLiGZmZia2btsu0kdIhXigsQt71lKxtV1TSz3Iqs3nXfdhEonEL9FsXWhoKFq1svRzK8rWseFzoPDvyjRL6UGKKq7mDHrdnSkECKvqF3ZOz1CJbKinm7I2LjLcNVkqPfyg7k46dxKJFyhldmthHc0syrmzXrk7iM4GEadlflx3l5+fjyPnk/T7rRuUbuqqHGs2nOHVsGOX718wbN68GQVh9YHQiuJ+t+bl1/OnKC7tpTbtJht3+o/qqEQicY+6L/uVaZkATMG0R6AqZq7dFapv92xjf2wcr7tL8S/nLsGSkjmgg+vsXOv6QHSE1sy8O+bNn+9zdXfSuZNIPEBquoJ1uyyqj0lx1it3RaWqsA8Q6/G0lbsOTYCgIP9vZk7jnhfWpNRKmRopyXn69vrtF+AXBs+YkunCejuNy/p3A3LU5oyHz/iPMI1EInE97G2nXSgXZecCtdcdx2XfGbN3lnsOvTtWc/o9rHrdhau97vyhvlzYukRLC4RLyrkFgpGQEBO6NDePY3gNnLoQpQq6+RDSuZNIPMDSzRRAsdTbsXGy1tCVQiqVKlUq8m+11bsjR44gIjRPV43ctBdIy/Ct6JKjiEhvtKqUGWTKQyPLAqZTNEoJ07e37c+Gf4ipdLefTuIiGG0PzlHrOLIKEnDhou9fOEgkEvfgSPlBoLZDOHUeyMo3q6Slr0WjRg2cfg/rdgg1kZOTg2PH1GCcr8K6y2PHTwHxvcX9Sgnsc+vaz+xhDJTG9/C51Ezp3EkkHmC1IQjUtblJqDFlZGSUGM00RjQZjaODp4mq0Fk0vq8/sXnLLiCqsdiunpCK0JDSrVC1bhyrb+8/rhat+ypsTvvPP//oSpkRYYpQXXU1rLurmnhRvz9nsX+k/UgkEtejlx+EJuPvXYMxcbpiV+k5EFfutu63jENs8CFERUWVOS2T+Hpq5jfffAPEdgJC4vRVu6Ag12apdDcKk8V1k86dRCIpmQ17LJN4mwaORzPt1SJYiar4aWrmf8uPqgXiVMp0sr9dUY3MT6bGwFfhxU6PHj2w/2gOEKnmqHZqakJYqOvTMkmL+hH69t/zLf0WJRKJpDg0WxfS6EP8tDARo8YruOIpBafPWzt4gVhzt3D1KX07pVLp6plTqhju+EE7hHHjxmHMmDFW9XaXuLDeTqNzM/YfttTdzfexujvp3ElcTn6+gnNpivhhcLVp7969mD59Ot58803cc889+PHHHxFobDBfD0eEAQ1qOCYNXVS6SjvDas2mvb4z+TjDyi3qqibp0Tah1O9Tv7rFKKTmVBRCLb6YokrHbteuXdb97VzYAsGW3p2q69srN51z3wdLJD5CamoqVqxYgS+//BKPP/64uPl6elxZ4fEfPnxYCEDlJ16pP/7XcqD1nQoWb7TYr/j4eMTFxQXUyt0ig3PXuaU5PdNJmLLI6wqBWVnSF9sh8HrxqaeewjPPPKM+4KZ6O42oCBPaNTJfL0Q1wclzBboQkC+ghsIlEhf+QHvddwZLtiUhomAv8o5MQt6RL4FcyyQ2ceJEtGvXDg0aOJ9f7oukZyrYfUTdbl5XLd7VoplBQUFiLIrDNl1l6DAgOJhONNsFwO+gDPaZTEtheesGpU+nTE5i558s5CMCSngdcbFRowb7AfkG69evx4ABA3DqlPr7SUgZhPNuFFPRGNCjDsZ8pW7vPmISv3NXq3RKJN7elmT8+PFYunQptmzZojoxNvB3+/XXXyNQ0YOYlW+CAosqJDlyCuj9sIJX7wSevFFNu6Ot27Rpk7ABDAzTPvoz2w5YnNtBfUtXVMZ5uFaygp0Ugw6v5ZMrdwy63n///fjss8/UB4LjYYrrBI5OkxSgeiX32JruLYAVW61bIjRurJaHeDv+/UuReJyVW7KFY0eyguoir+brQMdDQJNfgMTLRZNNTto0iIEChU+01f1W9dSLAhow0rRpU8TEFJ8uaJuuEh5mQgPzQsr2gxRn8a/VuyVLlgAxll5IreqX/r1o+BIizqp3Iupgz979PjUOvXv31h079oeq3uQGsU2/Squ9dAeNatHBVoVUslDDpyKaEokrmDBhAl544QXMmjXLrmNHFi5ciEBGd+6q3Kk/Nv8DE3q3UbcZoHz6cwWDxig4dV7RbV1ubq4Q1fB3TqSZ2/3kncOA3q1L/T563V1wDBCS5FPOHb/rW265RXfsaLNHPPI7FLO7MqD4xCbXiarE+VbdnXTuJC7l4x/tGLmgUKDi1UDz6UDHfUC1h1TVvwBLySSt6pvEagzVMh1JySxKRUyrQ8vJBfYchV+xePFiIFqVgYyLzEE1tRNEqamaaK5lCArDmk0n4AvMnj1brNixRxTp2rUrpvy8AFsOqMkXFFKJj3HfyhmbxyZEmkVVIhv6lNGTSFwBSw00EhIS0K1bN4wcORLvv/8+mjdXlX55kX3uXOCmMYsMldjOQFRTXd23V2sT/n3XhOdvU4NU5J8VQOs7FCRWsQT1/D01c9/BU8gLriq2Y4IPIyqq9G1mbOvuWArjC2RlZeGaa67B999/L+4HBwfj00lT8c+Onvprru3lPjvXzVjq4GN1d9K5k7iUWastTTjHDpmPp0YAVSsYXhBeHaj3Hhat9f2eY6URU+HKnTNiKoR97iIjI+06d8TfUjPnL90GhFXRm5eXNf2vYU1LWufSdd5fA0OHbujQobqa6iWXXCKcvQUb1XoUMqS7+1MiWSsqCE3C7P/UNh4SSSBy/vx5UV9HmLZ19uxZEZT6/PPP8fDDD6NXr176axnMC0R4USxW7gyrdncNVuet4GATXrojCHPeNYnUeXL0NLA76+qAce6m/b1F365dOatM71Ur2WAPImqJmjtfCCq89dZbmDFjhthmc/vffvsNq05dgzPmy8NhfYEerdxn6yommEQaqCCmLU6cuoidO3fCF5DOncRl7D+m4GSGOV8wbRUevrUVxt0dhIM/mzD9DRP6mFMxyJZjKX7RaNPZlTv2anFGTIXQudHSVZiWSaPZrLZlwtvqOxkYDjk2W82rU6Rd47KXCXdqVVnfXrc9Hd7OnDlz9BW7Sy+9VKwQsJn974stQYKrLK3u3EbbJpa2Emu3W1ojSCSBxrx583RxJv5GbQNQbdpYjF0gZakY2bNnD86l5gKVhor7cdHAdWrbMp1+7UxY/bll7E5l1QoYxUyhCG2mfRPnWyAU2Q7BXHe3evVqeAvLNit49WsFR05Zr4JNnTpV/M/fz99//42k2oPxxUz1udgo4N0H3B/E7KH1jqVad1wnbNiwAb6AdO4kLmPK36n6dvWIVahQQV2yo4DI4K4mTBpj+aFmR/b0mdSBssB+Phv3WFInEmItYiqMVLVo4ZjkoZaayXq906dPW6/cGXrl+DrLly+HEmkZk1b1yj65d2lpaYdw4HSSyPH3ZmjkNEaPHi3OE6rPzjcvANStpgrzuJtGtSzm4+CpcGRn+35TeImktAEYDa6s29K2bVt9e+3atQhEhJ2rSPUvtab8xv6qIqEtNSqbUN8cEz50lsrIQQGxcrd+p2X+vKR7zTK9l712CMYMIU+Sla3giqcVjP1CQed7KPyi6M47hYhIp06d0L1Hb9zztuVa5rWRJlSr6AHnrpWx7q47Nm/eDL927jZu3ChWGSZNmiTuM5rML4QS3drNWADLL2348OEiD33UqFEBLwkcCPwwyyJff3kntabMSN1qJiRFnlHvxHXDkhWqqIg/s/cocDHTkpLJVAkhac+Uw9atERamaRjDKcVMpsiFBPtfWqatmApXOssK+wpqYiD5ka11g+KNcFX2r7/+EttMxdXSu/5apooPaKt2nlCqbGi4/lDC6/qlqIq0cxJHYJo0CQ0NtUrB1GjWrJl4LpBX7tSUzNv1+3cOKnrOam0Wzs7ODRY1vf7u3DFIe+yCpfVBpxala4OgUaty4UbmxgwhT7LtAPQ0y8OngJ4PKtiyT7EKYl5++eWY8DOw2Xwtw5ry+4Z4Zn97aCt3JN7PnTumz7377rtC2c8IJdwXLVqk36pUUcMHOTk5ePLJJ4XR+++//4TK29ixY8vnCCReyZkLCrYfq6TeydiJG4cYcjANdG5kXt0LCsX0hWkIpJRMGjBjqoQj9XZFKWayebV2sb3jkP8oZqpiKurKHRuKNq1d9veMiTIhOdZcfxDdAkuWeW+9GOtzNOehX79+iIhQm4cbUzI9UW9nVXNHIht7tZNcGqSdkziabsgboVNvT+2YQTs6eGT79u16/WwgMW/lKSCui9huXjsP7RoV/drW9S1zWnBCe79Py6TjpUSoAxJsykVt48pbKahRma0k1O3gqNpetXJHtXAjJ84CvR9S8MOfWs8BoG2Xq/DCZNXGMW75v8dMoi7TE9RKBmpUMtvb2M7YvGWH/zp306ZNE+pPdeoYcsGKYc2aNSJqNWTIEJFSdOedd2Lbtm04csTc7Evid0xfqujStaFpf6FrV3VSt+W6fpa6nZW7EhFYYiomp+vtilq5I5rjQ8VMrY+eL8N0yeUr1wGRTcT9xrVMou1DedCmvnnZKygMc5Z47+qKtmqnRTO1tBaqyZEK8UBXVYjP7dSpCkSEmlfk47tj0yb/cu6knZM4m5JJRdui0OruGDTQWt8ECpzLN5+2BC9HXRVabLaBtnJHYpO7+f3K3cJFy4AItcdP1YS0MjsyoSEmVDML1wVFqTn7zCLwhrlo017LNVBl8yXf6QvAgnPPAzEdkJycjIn/NUeGWVOGK3Ydmniuh6rJZLKkZgZHY/fxeLHS6u2ElEYV6ocffsBXX32Fd955x+o5TliMLiclJWHYsGG47rrrxOOspTI2qGb0mY2D+Xj16ubkagOMgPJmtaMhIQ6nrAUymiiJp8VJvpnJdXc1taB9nSPi+7O3T9f2q4A7xmcDQeE4ktECeXn5onmpv47XesPKXYu6Cr5+13yVznFq397h/TA23qa8Nv+uaYr1BNqwpuLTY8XalEykqK0zzCmZ5fXZfTvG4x9zdtTqHa45pvIYL6NzR6EGvte/ayypvYO7MEKriFpOdxMcBHRpmo15G0KEmumSDallOtbSjJermhpLO+fdeIudM6ZkEp4XRe0T0+6NgQBngnm+Pl5r1m1GftJwsR2EHNzQL6zYOYslCxqmOLVeMTU1VaiQss2Ev43X7EV7LHaufmi5fC5FVZj2mIsEICgSKMgUNexXX21RIPXEeGmaA2Te+8DI8cBSZjqGJAItZiO54nz8sVh9PjkRePkOz//Oe7QEfvhX3Vbie2Hr1q1WIkmuPr9KY+ecdu4++eQT3HDDDYiNtay4aAXDP/30k0hR4YE//vjjSExMFJMdvVyquxnh/aJSEyZPnoyJEydaPXb99dcLOXCJYxw6dMhjn52ZbcKizea8gpzj6Nc7ttioW7zpFC6gPQrCamHa3xvRoXnZ8s29ebzW7uBFXgiiIwoQlHNITLaEvyde1DkaneRFoAbTfPh3lWOosKWmwi5dfx7ta1/w6bESfaOiLfV2tSqcw4EDFpGeslC3Mi+g1Z5CR1OrihWWqKiyKZSV93jRwdDOj/r164sIIr/n7/+hVrg6/3ZpeBIHDnguitijeTTmbVDn9o0Hq5RLdN2Z8XJ0Vc1ZpJ3zDTxp5wj7k/77r3rVx/OADn9Rv4GqVdX5hjCdd+DAgQiU8ZowZR8Qqs7lTSptR9q5eKQVo8zPVmIVYmvgTFowMmAJmHA+bNJEzeTwl/HiBf7qLRcB81RWv1p+ucyjSTFsCGuej8JrApk7MXfuXCtxH0+M14Zd6jVQQnQ+IpTD+OxBEwY8koFjmY2BkDhsPH+l/tqnh53ChbMZuHAWHqVxFV5vmQN0CX2xcOFC8VsvjjOpQYiNKkBYSNnPr9LYOaecO15E0qCNGTOm0HPGyCRTWVh3QHlgGj0KAaSnW0uO835RF1O33347RowYYb2jMqLp8ETBE6ZmzZoui2qXBKMueVpA4sx03DB8qFUaoS2tam3GQvM5PndtMK4bVPRrfXm8zqcBR06r263qByEsLAQnT57U6+2c+QHz98b95f5TLZPj28sQCD1yPgEpKQk+fW7R4UJ0V/1+r/aJSEkpn9TdSsmACflQEAwlui3OnDlT7hcNZR2vZcuW6ZG9K6+8UnzHvDtvo/p8ZDgw4vLKiFLL8DzCDZcBL3+nbp83dRA9GG0dHF+au4i0c96Pt5wr/I2mpaXpKpl16xYtW0u1aAZoKJK0e/fuYm2iv43Xol0XrXrbOXLsbRoB/64GspV4IKwqkHNMpHe6Y9zcOV4U6Mg0WY6pc6vysd1N6wLTlxsUMzN3ih5trhg/R8frbCpw4ry63ap+MGrXVvcl5kAbIGQckHSZ/tp+7YAHhlXSG9t7klq1gEpxmTiVGinE/w4fnV/iOD77KjBzGTCgA/Dhw5YUVHedXyHOpkkxoqDVfly8eFF0kGce7wsvvGD1Wm0SI5zwfvnlF6su9IcPHy5yIqRxkwaubPCE8ZTR+20hpeVV6cYKpiVo0mRUsfn1l3cJ1p27+RvCPbLf7hivzfv4e1B/E63qFxZTcebz+fvghSYnCP4m+beNaikIDVGQm6f2unPV8bhjrDh3CKXMyvfoj7VpYCq3lF0uclZPPIPD5yoA0c2wbMWn6NmzJ7xpvP755x99e9CgQeI9Vm5TcPyseg5d0p7H4dluNjznYkJO4mJeJSETvX7jNvTo1tZn5y4i7Zzv4OlzRVu10+rtituXuLg4kbbLC2ym9rIvnqag6c/jdeC4giPpTRhNA7L24s7r6ju0D20bFAjnThDdWjh3tHfu3H93jNfSpUv1unLSrE752LnaVS3XG/HJLXHh/By9xt9T1wZqmyZ1n1rUU19PMaJdOzYCpqtRofscnEF3EbD85FHPiajYo3frfPy8kAcZgSWblGKPk4J2/6xQkJoOzFnN2nj736krzy+n3vWaa64RHeO/++47cePFENNIHn30UXGCUtZdi3wydUW7WKK6GHsg/fHHH6LG4MsvvxRRcnt1CBLfhif1H4vMYhV5aRjULbJEmfYr+9UFstVC3z2nawjBCH9kgyHXvCxiKhpa5IirTlwhYBG1ppi58xCQ68OKmaxTOnHihJ6WmZzEW/lO9O0amd/PFIJ/l5uXVL0ERvY0aWiq73XvrnYp/32RQSWzh+cNH3/bzWuYBWmCwvHbPHNrkyJgnc0znxdg1TZFd4q8DWnnJKXtb7f/mCJ6UBaFVqfD84TnTyDw2R85gEm91EzGX4iNdWxlv3UDw/xmbofjj6IqIogZpSplBpkUNDSqEJdTO4TkWh30ukWt9ZIn2GS4BmpeR/1+9RYISg4eHbgMM940Yc1EXst43r4ZubKnRQV3+/FqKA7WEJ4zi79f1lEVuHE3Tjl3LBBn2o12oyIYU1FYl7BixQpRK8CLkGeeeQa33HKLEAAgjE6OHz9eFKj36dNH9Hl55ZVXXHVMEg+yZDOQmmmORp/7B5df1rfEv2nYsAGC0/4T2/mIwGI/FRLbsNuglFnfWprYmTYIRbVDIM3Miplcvdt1GL7dAiGsGhBasVCBfXnRv5Ml9WXdLs+ugNnCVV2m22oXjdoKj1ZozmDfYEvGqkfp385yXi/YGF7saxduAMZ9C3S8W8G973incyftnMQRLly4oNfENm7cGJuP1ESdYQpqD1WwaIP9c9sowhAozcyn/GNW1FXy0bep4zVsrVXxSJXoNn7bDmERbV1kY7FdmwrE4eXjCBgbmUclWVYGPdkSwaiU2aJuYdGwwYMGYlAXExqneJdjR/q2tezTBbQVGR1FMWOZ5TgHd/XMsTgtqGLkxRdf1LdHjx4tbkXBHi8//vhjWT5O4gMYVxZw9g/06/dBiX/DlKd6Sbux03z/j4VZ6N8+Ev66cseFzGa1FT0tk4X2pYnu12IiuBlGNLlKwJQOzFP0Zubl0RfOc/3tWlk5w+VNxyZMHVbH6kx2bbECyroYb8C2oSvZcVDBdvO1TbfmQKUE7zCANwysjFd/yRMroDtOFF+H8OVflvmhTxvv2P+SkHZOYg/WWjK1UkvJ/Giaem4zFWvgkwr+GQ90b2l9jhvFLOj833rrrfBnTp5TcPiM2ZanLkPvroYeByXALBTWFWdm++/KHVO9DxzNA2qqwk1NytGpYX82jfwQy/UFM4ZuvvlmeLrHXfO6avN2/o4Ir4FatFB72noj1SqakBB2BOdzqgGxHbByzUb07dXO7mtnLLUEYQd2gkfwrnC1xKdhmtWv880pmQW5aFXzqIh8O0KP5tmAoopHzFzKmj3/S1fdbJ7Y6lcHjh7eJSK/pV21K6rXnbZyR7aIGj8fTlWJbmmVxlresLVCEMzna0w7qzRZT2OMZl522WVWq3bkKg81LrdHkwbVEJyhBirSlZo4eML+eXfhooJf5qvbibE8BnfupUTiuhYI3XoOxFzDQlx6JjDwCUXU5hS1ckfnzt9Zbmx9mbbcKVvHeivO0YLIBkBwjN85d2pKpmVVrUk5ap3ERpnEPEtOX4z3+Modrw8377OsKsZFmzB//nxRm0yoHltSCY+naV7jlLphCsbv8+2XIOw5omCb+TRlD1rW23kC6dxJyg32Lzl0ShVSwYX5uHyA43ljXTo0AtLUSWffyRgcPum7jok9mCKZZW5pZSumUtp+R3bTMg2Cm1t91A4yHVEoZZqjta5auWP6S62K5tYKUU2waKl3XGxRQVVzNFu2bKn3NDSuinuTY0SDXC3SchX3xwL7rRl++s8chedqXz+l3NKPJBJP1ttRFCUzohdyzDFJTb2WvSgve1zBUoODx2Cn9ntev369x/t3uZrlWy3HHpq1VqxsO4N1amZLHD9+XNQr+gsiQ8Vcb1feK3ekbUP1/2Nng5DS5DI9qGDbX9MdHDwBpGUUnZKpZah4M/3bW76fxZvCil21I72aF5266WqkcycpN35fZLhz5neRquIoIqJ5zhIJne09iyguEVOhWppGaZth2qZlaquCYWYBNqZl+iJCPYyYV+54PI0sh1qudGpqDkaYgjF/VTGNl9zIrFmzdLERzeAdP6Ng+VboDnz9Gt7lGLWraxGk+W2BdTsAeymZ34zvg7feesst+yaRlDcUfGI7A9K1a1f8vcpSazr1JZOQP9cdvCcULNusFJrvKW6xb5+PTtIOsmRTvkWav0aq0+qgVqIqVMz0gt6G5e/cuWbljgzsZBm/CvXVtit07IzXH55IyaRzRxunOXc8L9hOxtsZemkVUTtKdp0yq9fZMH2p5bf+2mNdxO9diMO5GencScoN48pCZOZcdOnSxeG/ZUQvONUiK/3PSsWvxVS2bLGsdDgbzSwuLTMkxIRGBsXMnFzFN1NVgiKASDXsyLpBV6lN9ekQp29v3BfmFQqO9qKZ05eqjX3JEC9atdPo3T4WyFU7za7YESPSkI0wRXiF2TnFxXW4eHyRUAGVSHxdJbNv/4H4y9xPjGlwdOx+f90kWpUQrlZc+riC5VuUgBJV4Rywapv5TtZBtGlmKAIrzcpdjOrc+UtqJvsjbtiwQRdTIY3L27nrbNm+GNbdo6mZ1s6dSbQEYZCE9OjRQ7QK8XYa109GcJbaaPaiUgcnzG2JNFLTFSxYr26bsvcDGVtx9OhRVKpUye37Kp07Sbn1slmvBjJFemWfrg2Eypyj8LXNa2cBuerqyb+rlEIXiL7MBm1sbJw7XuAaV+Ccgc2iNQEQo4qYJqKSl++biplqNLO5WE1zlVKmRofGFqfxIhp5NCpMR/zjaXn4fV1boNZYhNd/AcsOdsEHvyj4fLoxJdO7Vu1IyxbNgPNzxXZGTjhW77B+/suZht/yiclWtYQSiS87d/G1hujpZlSwZSAqMtyEP8aZ0N/GwVu/SykkquKvbNkPZOaYMyPSVpQqiCnqorWrVLPAlr8oZlJpVaTlmlfu2O4nMbZ853auBGrCKvvO1ACC1DYUnqgvt1XK9LWUTEsJghaxAKYvss5SYcYZr7uIcnq6+J9qyh7p3ez2T5T4JYvUYIbK2ZlOpWRqtG3TEjivrt6du2jCKj9qA6Q5vgkxQFJ0hp6O07Rp0zIVEWuOIVW38vJUyWmhmAnfTM1kcbWoRzSKqdR3nTNDxa5gk1mqO6adR2WiP/4NeOD9IGRVfgxIeRHZVZ/HmM+C8PAHClabfwvVK7E/H7yO5s2bW6VVz1pp7bRO0Z4qyAZOfo/69esX2dxbIvFmOM/OnasGMpKSkrDluGV56WpD70nh4L1uQj+zoB5VNJ+bpASMqIqVmErqslI5d1ERJkvft2gG/EL8ZuVOZKiEJAJhyS5JySS8ttDUGnPzgxBUob/nVu7MpSmhIaoSqlERmmIqvkLr2mqGCvljgbmZnZnpS4xq8TPFf1qrHHcjnTtJubBym+GkTl1eKufOtu5ulp+kZp46r+CYWVipdQM2P95W5pRM29RMSnLTwSukmLnft8aQjp0o9rZSynTd54WFmlA32Vz0HNUYi5cZoxTu5U+jYSiC2y5jJNv7Vu6YdpIUtEa/P3uV5VhmLuNvwHznzO9A3jmPGTyJpDzmqPPn1RO6b79L8OdS9fdI2f5LOxZ2Tv4cZ0KVJPX+vHVAcpUawinU0jK9IRXc1WIqpV2502ymQKTqN/Yb505kqBhSMl3h3JHLO1vsRVK9G8T/W7duFWmh7oIBPq2ND8tGcrLTsWDBAv0ahm2cfIW+7SPUICWAZdssLbvy8xU9PTtISQcuLND71HoC6dxJyoUVWy2qX9XijoqmrqVz7mbp9//x3CKK61Iy65VPvV2x7RAMipm+tnInDB6JMa7cufYzu7awqF4tWKO2p3A32TmsyTHfyToIbB6MyU+cF+IM3401YfLT6irA87d5n2On0apxkqgxICu2KjifphQSUsFxmZIp8Z8WCPXbjMAJcyCftXZ05mzhY1p6ZkYWA6EmffWOyrjHjh2DP7JMm88KchBj2o2aNe0LUJREa2PmRkxrv3DuuPrLtExrMRXXzO1921pE1rKj+oj/GVBwZ73njoOWdMUW9YD//vtPV+xkSqa3t0Aw0rZ1Y7ESTc6kx2HfUdW+rdwGnDZfPhScmQUoOWjXrh0qV64MTyCdO0m5RGXW7TLfydiJS/t1KtWPtVWrVjDlHgXSN4v7TMs8c0Hxs3o7k8ucO60WoV4131XMFKkqhvoKpiG6uk9Mz7ZqHQLZeihKb0zsTniua60ycGEe2tU9iduuSML1fUy48RITbhtowpXdTWKl0VsxpmbmF5gwdw1w9LQlmhmcd1TU5VEZrXfv3p7dWYmklGhNl8lZU0+7KZm29GtneW7uGv9PzTybqogLesHFdWjWpF6pL+DbGPueR7fyi5o7Cqmkp6eLbBGNxi5ShI6JMqGHOVaallsRiGzk9tRMWzEVX6y3s7pmO/+ffv+/tYVVMj2dkkmkcycpM2zOnZtnPpUurhbS0KUhNjYWDRo00FfvWGv8r6UdnM+yYY/ispU7e+0QqJipGYpdR9RVIV+ATd1FqkZ4LSAkweUpmRrtDYvMOaEtsGOHjRpIGXC0j5WmsCW4sNDnDJ5+Lp+bY5WaOWWW+jsm+Ue/4IgIZTSplCnxRbjiwf50pFr16pi7Qe0SHRysiqkURT+Lhgr+XQO/F1XhKoZO2vIy2TmrzI2YVkL0ytf7A06froptuLINQlEtEZB4WbmLqpT0fRjFVJrXsbRAoJBenz7qaqKvUKFCBSQFb7AK1lj3tysAzv7l8QwV6dxJyoyV8EnaStF4ubTY1t39a/7h+MPKHS8AqGSpOXeU/tUa2pZnWqYxNZOLUGyJ4At89NFHah2AedXOHSmZpGkKEBJk7kAcWz6iKpmZmRg2bJi4qJk8WU1FLI4F6w3n+YUFPunciZU71hmY6xFmrbJJyTzxtfhP1ttJfJXDhw/r9XZ1m12BPWqZM3q2LD7DoGayCQ3MUz1bgjRs4t/Ondb2oaz1diQ5yYSqqig0EN1GpPOxmbmvwv6GH3zwgXrH3MA8NkrNUnEVxpYIQZUGl+vKHYVRqlevjiFDhohjK2nlLv3UCl2VmhkcVP32NVrXywXy1JrFf1cXYP8xRT/GkIy1QO5JsVjRubNh4N2MdO4k5SumcnGNepFXFucudYneKHJN+S2ieCxldZvZ5+JqWl5uuu6ElVUps6i0TNKstkExcz+8nosXL+K9994T26YYg3NXz/VpiFzpbFDNrGUe2QCLlqtpwaUlIyMDV155JX755RdkZ2fjiSeeEMdXFLl5CpZsMkc+sw+jUe1wdOpkljjzIcQFXEEmcGGRuH/guCWwUIGRziw1R1jW20l8lY0bLYJLpkpX69tX9yx5ntLq7lh7dDS9PqKiovy2151eb0dSy7ZyZ9XvLjQJCK/p06mZn3zyCc6dO6cKxETU0a8NXFl3ZmyJoMR1Fy0ReB3Cms+yMGPGDOHU8X342/j444/tvk5zfOKigd9//MAiEHbbbfBFWrZoAqSqdu7UhSC89YPlGjjv5B/i//79+4sSBE8hnbtSMGnSJKHu89xzzwnp9kBn5Xbzia3koX6VNN1oldq54wVipurVbd7nm424NejY5ZqV9pliSJUqjbIaPFKxYkVERkYWuXKnNZD2dj799FOcOaNKitZoPMitK3eke2uL6tXidda9a5x17K644gr8+6/a0oPQkE+cOLHIv2EAIyPbPBVfWIh77r7bpwrMNRISEkQE17jyrpG2WzXoVatWRYsWLTywdxJn4XnLyDpvnmwR4k2IptNmDmVYVt+usvSHLpJ+bS2/6fnrTKLGnOzfv1+92PcTCgoUrNDSMnOOAdkHymzr2jQ03In2XVEV1tm98847hlW7IJc0Ly+uJYKCMCChT5lTM5laes011+jCKIQrksxaMXLhooKDJ9TtRjVyMW3ar7rC8tVXWwIkvld3N1e//7k5y1ZwdoZXZKhI585JGIkfPXo0tm/fjtdee03kzgvVowAlPVPBVk20I30TWrcsWxMuvdD8olrXQMdoqw+sPHlCTEWbtLW6Oxo8TVbbqh2Cl4uq0CF6++239eMxxbbWpcW1VCZX061FuL69+0SC+J2XxnAPHjxYKIERY13Zu+++a2UEjfy7Kteyipi+FLfccgt8Fdt+dyQ6PBc5R38U22yR4ouOayDCgAtrYHnr0qULxowZE/DBTH3lLrwW9p9W2xmw72St5JLP6T5tOb/Zr7vT6vj8AQqpXNASFVJXiPIDEfQpA9aKma181rn77LPPcPr0abHdpe/tLlfKLKolglZ3V9qgzR9//IFrr70Wubm0XUEIT7kPSBggVvC+/lpNv7d3/RGUucX8N8Dtt98uau581s6dt4iqaBpsYcpJIF2dI6Rz52PMnz/fKsVq27Zt6Natm0i9so1YBAJrdwIFinnSSFtdpno7LZoj6tAurivUANwX2bDbIKZSv3zFVGxTM3n+aatfdasBEWaF/61ebge5qqWlhwy5ZgQOnVJ3vHkd1im6xxEwiqoURLaxitA7AueEQYMG6Up6vKCZNWsW+vXrp9fqfP/993b/9ufZ5rAmgEHdY/UeWD5r9DI2qRF7M/XjVwMFqlMgUzJ9UPTBLJjw1ltvoXXr1li2TJUBD2TnLrjyNQ6pZBpJijOhrXkFauMeoF7jLn5Zd2eVkmkWUylrQEdPyyTRrX0yLZP2efz48fr91l2Gu0VMxV5LBCSVXlTlt99+w3XXXac7ac0HTUV2rQ+BFn8DFa4Sx8hWD/bq7XZv/F3fHjVqFHyVpk2bisUM5J6yejz3xG/i/0aNGqF2bUOE3QNI5640Bi8oCojvg+Rq9XTDx5UHGj5dyj0gxVRW6akmZV69S7dcXK/b6f1phUWx2lAzyLTMzZst9VxlqU0sSTGTTpGW6rHbg4qZJ06csJrobeFKAC8aNa6+6XloPX3dlZKp1TyEBZdOVIWOHQVQtKas8fHxmDNnjiimvvvuu/XX8ThtVcXY+HTLIVUZFDnH8cQDV8GX0QMWZ//WH7u45yPxPy/wPNXQVeIcDLasWLFCbDPYEBamBlyoJMtg5mOPPSZW3AMJzlWakm5kDbUZNBnSw/H3MKpmZkf4p3Nn27y8POxcvepAdESB1/a6o42jrSuOL774QheCYTrjmcxKbnXujC0RRK1fZCNh57RsH0f49ddfMXToUN2mXzP8QezJHmJ5QYPPsPfQRfE6e0qZZw5aGnvXq+cGKWwXweBtrVo1gfOWtihEOT3dK1btyuTcMYLVoUMHUX+m8dVXX4kiwr59+2LChAlWJw1XLIYPHy4MAz12X2zcyeMRzl2Tn4GW/yKk03aMfOI7fWl5586dQub76aefRmCKqawq88qd7twZVu70Hno+xrLNChaafVQWM1epYEnLZH0S64/KgyIVM2tbUgZ2eEAx86effhLHWLduXaxebb+nBZUkjx49KravuuoqpJssHl1LN4ipaNAZblLLnHIWUQfzF29yOBo7cOBALFq0SP9eWW/XsWNHcb99+/bo3r27vsrPAnQjv/yzG/kmVS0sHhvRtavlgs8X0S/kDryIerEr8NKtF7BnvZqSSXtBGWlfIhDtHJk5c6Z+XDwOin5o5zQfZ5oxA3nGGmJ/h9+tCM6EJCE9RPXSmDZOBWRHMfa723W6FkJCQvxOVGW5tnKn5IlsnvLIUAkKMqF1ffPlakQd7D1o7hzvBXAFi82qaeseeOABfUXLCNP833zzTf0+9Ro0obXQEDXTxh3YtkRgps/u3bsdXrGjArTm2LF8ILH1e8jMNrxnaCWgwed448039fnDuHInVrsA3HPPPfB1movUTItzF2zKET1qvSVDpVTOHSc4Tu5iadLM4sWL8fPPPwvDN3XqVCxdulTk5RLWmjz55JPC6LEehUZh7Nix8DU2bdqEg0cv6kvaR04HYdKK4bjh2cPo2FltZsoT+o033hCR+4BaucvPQEzQQStHo0zOXd5ZIOugnpbJIm1fgufB459Y9vmpESbRx43peaQ8UlVKcu6aGhUzPVB3980334hxoOwxgx4//qhe5GtwXuBvRYNzglUaq5sDe70MzcznrjzvUETz888/F3MfSUxMFI4dHTojTNnW4PEa3/fDbyzqewM6R/h8PZpuE3KOoOKZ0agZZEnD8YZopjMEqp2zTcmkQBDnK2alcPVZC2byonDkyJEIuHq7pCugmC+duGrnzG+2e0tLaty8dUG648Mafn9YCU3LUIQImoC1RwUZ5VZ+0NrQzHz/qTh4C6yX5LnBeZ1qkbywP3vW2vlkHZpm+1mX3bJla+xU76J+dTp47pn3jS0RkDRQ/GcU/yoKOnQM8uSbi8uocvn4819i8t8mXQWzQpy58KzCFVh/tK14X46J7txlHwHyzqFKlSpiTvEP526Ofj8sfb4oP+D82KtXL/ikczdt2jRxYHXqWCT52JSQyjesl6KC30033aQ3KlyzZo2QBKVkKg/8zjvvFFHsI0fMTWJ8yeDF97Z6jNdpX81JQkbD/3DnQxaJV9bb+DunzyvYqy66ABfXolXL8nFY9ELzdLXIPC0Dls/xEX5bCCzdbEn5u2tw+StlahjTG4yF+daiKu53jo0pqExpuuGGG0TEUktNnDJlil47wdUvRj+NAjQt3ezcdWwSrG+fz6srgjmOrHAY5wcegy1M2dS+b9Yrac4gBVhWbLcUlI++o/Df+hrsWaTZBa50sAeSrzp3gWrn+FudPVsVxeExam05uMrEQAXrUbVUcJ7PDFoFlHNX4Uqn6+00oiJM6Gpe3N53DGjQYoDY5pzobJ2vtzYv12NXqWpab/k5d5axzjA1wL593qEUZrRzhIEdrnLzt0+4kjdu3Dj9eQZ89h9nqYT7UjLttURAfE9RYuTIQgTTNzUhGIpiMcX0uUkmaFUGT94AvHGHWu8vqPcunh/3NY6eBs6p7eCAdHWc7rrrLo+2CCgvxHnN9j57HkGt6PXI3PqQeJyB7LIoxnvMuWMDzx9++MGqloTwh9aggSW0Ur9+fezZs0ds79271+q5iIgIYRz5uD0YAWUdi/FGg8MJ0JM34dwlWJy7YX0tUbjN+0z4ZtN9QI3HxbAuXLjQY/tJ3PE51imZqphKebwvlbUorGJMzVy7U/GZ8crOKcBTn1nGZtzdQHCQYuUscDWgvD6PK51aO4S5c+eK6Bofb5Ji2QdGz9w5VpwnNMdNq9chVJhlvQEjm6+//rr++LPPPouMzAJsUKcMpCQzGui679zuODYwnM8x7cQFbnGvp3PG3zmpWbOmqLGzN17k8cc5L1hW7/jct999j7woNZQaHpSGDk2j3Xq8rrppF3Oct7VVLdYhMr2xvM4v2/EtbwLZzvHilOe2FnRhwM74PI+RfRwJI/NMSfbEfhJ3fp7u3MV3E/8lxQEdGjs/R/U1C0KTsEqW9C2KW3jLeKVzLt5dgPx85z6DpQg6actFNkPlypXLZf9b1TPOz22EU+IN42W065qt45xAe8A0fAYx2e5CqzVjZocx2MrgryuPw3jj7/UyNbsaCAoXLRH4e+dcVNzfGRcrrr/+eizeCPxplpeoVhF48JoC9GuTidsuM8/JwTFYfmYUfpq50/KdZWwSc8kdd9zhtuMtcOFNz+g4+iGO/9cFyNylBzHL8/zSXussasK3kw0YGYFn93UjTCkwdprntqYeyf9tu9DzflFpCKzDse0LxROKhZye4tSpU6rIQlu19oIX688MPYRb+4bgsc8rYtvBMOTmmYA6bwKJA7Bm/dUicm2UQ3cnTIVzNXOWx7PKSL2TtgrVqzcvt0JnXiDO32SJZC5YcwEd6pyHL4zXN3NiseuwqnjYsVEWWlY/AQ6LsWUGa4/KsyicK0ZcEeIqARVdWecWVADERNTExawgLNuch/37j+hS3K4eK6NAAJ05XhDSseNExQv+hg0b6sqeXbt2RbVq1fDjrBPIyFLDiu0bXMSBA4ZIoBsIKwDCQ2sgOzcYiG6JGTM+EnLPRcGLWq1lAqXii1Jw43jxGFmTwRosrvTQWL79ySwg7k7xmjZ1L+LQIe+pIykLdHQ1tPYPHB9HV7Cc+S0aV9XKk0C1c4ROrQZX7ezNU40bW+RleQFbnpkI3mbnCC+KxZwWUU+tK2LaeJ0MHDpkrZbnCE2r0wFQ660PpllqjDlvuzpdzZHx4srb0NeSsWZXBC5tn44P7zuNEEtSQ7HMW8OxMa9apC5Hveb1yk3ZMjYICDLVRIESBES3wowZL7pcoMmR8eKKvQZLD5idwiyd1NRUEQRhYEuDq1b8PX3+e0XODuKxitGnceBA6XurOkv7upH4HJXVO4mX4cKemSIDhYKAjmSoNG7cBA9NoN1Ts04evOIMzpxSFeQfHXIYfyyIxbnMRCC+O8ZONsz56ZtFz0zibYI4pYFzO51Vzg3GNkfM9nD0+Bydv0pj55xy7pgXzpOW/W5s4TKkFu0j3NZWE/i/8Tnt+aKWLtn/YsSIEdY7GhJitQLgbrgiooQkA1Gqt96hsQnNG9cCMyx6dwRenAyM/9GckpDQDwWV7xEXM1zCdie8eOYJwwusoCDXiqHuUoWfVNJWoXfvB8ql5k5b2p6/zNIvZe/JeKSkWCZJbx0v9vf5yNDQ8oPREahdO6XQD5liDMw9Ly8ow6+l+/F32qeP2qS0W0tg1krg1IUQ5IaklKlvnDNjZUz1YATzwQcfFBf4vGBmGpfm2JFXX31VnDfLf7H8/Y2XxiAlxf2BkVb1FZFahMj6WLF6q/iOiurFw/oKDabq2Z77tuPFeiz2yCTPP/88dp/qBJhLR4ZdVhXl9NPxOPye2SPNiL3x8eTcVRyBbOd4oaKpvjJ1ivtHZThbGLCheAThilZ5zfuO4u5zhaJPotF45UH6Y33bR5XquNnyLfYdtdxgx/HqCAkNQ15ujkjjc9U4OjNeuw4Da8wiZrNWR+OVn6Lx5RiKmhT/Gbz22ahlSuaeAbJ2o23bUeV6TMxG2cJFsKhmWLFqo0gPdkWdsjPjpa3cc5WSzhzFlliTxrRu/p6YBUDo2LCFwPSlwEyzGHOFOODmQRWRFEdnzz0MqwQ88AmQk2uuu9ujppZS0Mwe3H+t3KNJkyY4ntcF6/ZY0jwfHVEBQUGJYryaNKyBqa/k4pLHCgBTEDIUQ3/D9E14+OEX3T5XuBKWxBgFaZh1xoBDSeekO+Yvp5w7KjrRI2UNCWEaSXBwsHBi6FnyILVCQp7wWi0QVxF++cVy5cbUExaX8nF70Lh50sDZQ9RVGFIy+7aD/qVERgBv3gtc2lFB/9EFUGACajyKeQs+95hqDvfNlUaPk9bqHebUglyKn+wRAgLl9ZlCmS37FfW9Q5OwfpdlvL15vN76oQCnzSUoN/QHOjW1vKdWc0dpca7ilKdRokHRVFrZa+3+++8X271aK5i1Uv2eFm80oVEtk1vGylhf2KJFC/F6pnhRXp3R6V27dulOPB1RCuZMX6LuJ/vzXdrRJBTS3E3r+kw3VrezghuI1VbNUS7KgdUk/osaE228KD7xyiuviJRUoR7a5En9Nb1ae+Z4XYE9xVx+947+vlw9d5VEINs5OmpaEIoXo1R/tQfnL/ZyYmsAphPyWD1RZ+Kuc0Wvq4q1KFJ0aV663yy/8t6tC8RF/qkLJjRpdTW2rf5JjCXPNXvOtDvHa9FGzsOWtMEps4DEGOD9h0zF2qzdhxWcvmD+u7QV+ipGeX4/nZoWqM5dUChOZtQSDnF5tRQqzXjR4dcyErgfnCe42k/RpZdeegkvv/yyVa3dxUwTHnjPMrYc04oJ7p3342KAHi0LMHeNpSUCxU+KEn9isEcTUul/yWV41pBs8MbdJoSFWWrvOFb9O0aiV72lWLDXoN6i5KFGhYtCTMaTc3t5w+/c6NwxJZPngDfMX069K6N1lEP97rvvxK1nz54ijeTRRx8VhpCRChozRuX5vGYcmTLG9CWmY3H58ssvvxQRAHq5PlVgHm+5yOvTpvAPsm87Ey7vZJZTD6uCX5d4j6JTeXPoJHBCyyK7uFpc4JRnCqquOJiupvcdPwscP+PdipmHTih4/2d1m7WYr480WUW/NMn/8lTK1GDdnXYhRudOy9PuaWg7uHCD+8avqH5+vCCkg3fjjTeKfWb6m6a6yu+YXNIeiI70jKPTqr7hc6NbFllszn5FWg0Oz1VHJP6ZxqGtdgji1AZZ8dGK28VjXAm/Y6OBY22CMVXT2wlUO2dPJbM4OC6akp4x5dwf0cVO4tQLVl6PdWxS+vcztkRIqH2NHjD1hpYI9uzEB78Cr1gSaeyy3NgVI1VtdF/e6bo9Whnm5/juol7Mk2itjWztHC/Y6dzRyWOwizXXDBI+/ZmCw+ZM3ks7AiM81PbTtiUChZEYWLCHJq5ElMq3Y+chi/LrFWr5aSF+Gt8UQZkGQbLMXRh11y1OOT6+QHObwII3tEAolXPHAnGqZ2k3pisxFYWRCvZy4pLzrbfeKv5nKpa2zMvoJLvWM5efJzhz1xnB9hWYCy/SbRL66BfumuKVLa+MtEQv92Rfg9Q0s7PnZ6wyr24I0sqnv50RpsNRjAAXLeqPbIngzTw3SUGWOfX6wWuA2lVNdo2AK+pTOGlq+excGdIuRto3UlfCiNZzzx1ox8t5ggX1Rpi+wotiXshok+Mfiy0XFFd199wKVmtj4/ToVkU6d0b5aGfqPpieKtL4opoAYZX1Cxb22fMXaCcoNOKrKpmBaudK69wRTVjIXxGBnKBoEfAhzesAsVGl/832MwjjpoeqaqSkqH6g7kSzE7Qbnz1uOcYXvlTw4a9FBwiXb7FuXu4S5854mRHXQ5TLeJKS7DrnCNpizgtUz/7E3BkmKgL432PFr4S6ksutWiJcLhQ9tXRsWzQbGBIej59XWtrCvHVP0fufXCkBt3T6FyhQa9JNqQuEerC/0czwnYtVy/794S04Lahi5MUXXyxUQ8BbUYNg2+fKpwxeeC0gUg2vd2mmShrbo01DE2pEbcDhjJbib16btAtvjm4Ef8NKKVM4d+b2BeUI1fUOL95g1cz8MosddDv7jykYNEbB2VS1cS1vzeqY0DQFyC8AppgDXImxwLO3WJ8frnbuSL9+/fD776r1oNHjylh4mAmdmymYvw5CfvngCQW1kl1rUCiZzJUt4mjKzB9quaAQfBncFR6jhXEFLbqVKJbnCo3typwxmulMXS2dBTZwfe9HVYSD9DJGo/0Efu9MM/NF5y5Q7dyJEydU0TDz91e7dvHduQPOuYttD5iC9WuAstCsDpCcpGa/7D5VDTCFiNQ1prh6kgPHFRww19LzGEddaUJ6FvDoR6q9f2iCIuzbTQNMRa/cKQXimoBzpm1gr6yw2XeVJHOWR1wXzJt/o1g51prBuxs9QyWmHfZk9BftoeylWWbnKLjrTcs102t3mayCv+6mcQqQUoXfN1dAe4jABZ041u4bYdq5VlNYo9M72H9O3edreqppycXx2jM34MeWvZEV3glDuqWjWrX74G80N1zfsJSIgWtvwX+SX10EUyXU/nbFp2QauaWPRSHoi1lJyM/37nTCMjUvJ2mrRL2dK5w7LS2TrNvl2XF8+0cFW/erhuW/tcBH04B731HQ6yEFfR9R9P4+Y281ITHW/c4dRVo0jOkqxtTMRRs8l6pSXK0Gx1W7oEhO8pzRYzS+npZFF90CimIqlPrDOUFz7phqSQERZ3jzzTfRts8j+v1eRYuU+SxseMsaLKqEFlWzKPEuqIjHc5s4otpIMQtNHIFpXUbFOH+CqbYU2THW23VuVrY5iise/czx0IzsYIRVVFO0Pe3cGbM7NLsxeqgJz91iefy2cQrem6rgp7kKpv6n4Od56v96j9KMrUB+qkvKD/h+PTR7FhKHtPzaHk1lFc5dSCLQYi7em94AdYcreOVrBRczrK9VXv9WwXazaGiHxsCDRYswuwWOo756J1oi9LWbpaI/ZgrD8eAbxCYzK18fVfL3SgXshX9/hPGja+HrL96HP9KsWTORucPsDvYA9Sakc+dogbk5JZP0LWGR6s7rmwDn1QvCMxkV8PN8+BUUv1itBuWB7MNA7vFyT8vU6+4ydgD56irHOkPLFE9Ah64k6lQF7htS+HF3OHes76HQgRZJ1y62ehpWhtxRd1dUvV1Jq3aeTskslJoZHCVUM22NHvsacZWD0HFxVhSDUeaj6Wo/tJhIoI2lNZrfwNVMrnhSwdXbREMkZU/JtF29Y126N6QUugKKdnB1iCtFGmVdubOtu0tueIPeR9GoJOxujPaBIk8aL99p0u0atTW4kjf8JQXDXlQw9AX1/zxVc0O0QHClnevR0rruzpOpmcLWsXY6RG2ZQgXU579QhJPHFFau2G3eq2Dct+rr2VJi0hjvSMO3qrtLukyIoNm2q9EzVBIvRVZehNgc3hcOC7MxQM96Q9uWMv6CyWQSbY2oqcBabW9COneOGjyzUmZkOBWbiv8bKqpVyLBICr32DRsR+s/q3Y6D6iQmSFslVi9c0W9KFVXJB9JV4YrdR/i5nhlHirlsM7cu6dwMOPWnCQs+MOHTx0wiCscaCj7+/fMmkQrpTA1aeU402uoda0S1FKvOTVWj4q66O92RDU3Gb1uvwsfTiv/OrOvt4HGsRVVaC+dOW9EgRmevNK1Odh+2iMd0a0Fnz/OG3lW1a56qKZGUUjQMQKVKlVS1YgcIhNRMvXm5WUyFzcsbloM+kLHuriDOosTtSSd5gbnEPTTE+jqHv+MPHzHhRkdKis7OdLFz5x11dydPnhQlCFpTeyOnzqsprI1uUh3f3Dz18adGAC3rececyEUK6kcIEgcWqiVnQEPLWgmrcbP++A39vWP/vQWTySRsnbfhmURlX3PuIuoD4TX1iSUstPiTW0ijdwjGj9uWC4OweZ8JM5YCV3rBhasrUjI1qfvyhvnLFGbYnb4eiFOL7Zj6QZUmdzPfouuCPm0g8up7toa4ga0vioECJ1oNmqub/dK5o1gJ4cRMAQgqT7ZvrGD5FojUkJPnFFRONLl+5a7ee5i1rjJmrVNQrSJwdc/Cn8kahSXmlzeq5XhE0JW0sqq7a4n9+6di7969uuS9sd6uODGVrGzgn9WRyFkNHDtTgKNngKOn1SCFvei4ROIpqLCrNVtn3Y2jqna2zt1TTz0Fv3TuDM3LGSwrj6BFShUT6ldXxHxwPKO2KthSkC6cO0/UqR47rYged1rqoK2uANs+THlOVXikYqJomKCYe/uatxf88zlmLPrTpbauRV0gLhpIZUvJ+G5YvORWEZxw9wW2bufiLM7dko9N+OBXBT+ZM/m1+kXNvj17s/fM97wu6N1awWxmAkekCJEvOncUi9JShNmTFkGRKEgYJL5w1ltSzVri/ciVu2LgBblY/Ujo63C9nUavXj2BQ+P0+69NYU2W4n9iKhddU29ntXp30VpUxRPMW6s4fQ64MyXTKKqiYYxo9mzpnro7nuPC6AXHwFThSv3xB95XkJpe+PyfsYxpvur2VUXIKrub1sY0yZhWVqt1mZmZ+goF5f0p+2+Ps6kK2t4F3PdhZTzyIfDm92q/KPYWMhp8BgokEl9MySQNGjRAcnKy2GYKrtYPy//EVAz97cpYb2ekv/lCOb8gGEjo59G6u0XmBcri6oDp4F3exYRHhppELd6jw0x4bLh6e/wGEzIOT3W5rWNKo65WHlYV2aguaj7djbBzQRFCTIU0rgV0bWHCjy8GYc1Ek2h1YGTiEyZEhHuPc1e4JcJA4dxp16l6EDPpcuQpEbqQSkmLGxLvQDp3JRSYC4zNyx0UhRQRzbMzdMeEjZFF00i/W7lb45J6O28TVZm3zpKuwlQ6VwqMlAUKHGhNk2nwRAsPno+ty153x+u23UdDwPKT4gIibOyKpCugBEXqj3PF6pnPC3/un17SAsFIzcpAgtayMdraueMFLKPEWkqmvQg+U7BvflXBDnM/IFsog12/upqiU1KKt0TiangxN2PGDLHN+khnWnvw/NdW79LS0iz94PwIcUzmlEzC9PvyYlAXy/wRWmWIR527Bestc7GxTrs0to6lB0zvdRXWdXeeSc0UxxrTAQhSa4qN1wVtG5nwz9tBmDfBhLuvBKa+RCEY77BvRi43aoElXSbst7YiqTt3FYfqLxnW1/uOQWIf6dw5Es00K2UyFaBtQ8fFLVhfhUNvWK3e+To5uYql35wQO7ngUudOrNylbwKUfI+t3B05ZUlX4cV4UW0wvGHlzrh6x941S5YsEdvdmqttBshCQ4TWUXYeUtDxbmDA09Vxy+sOpKpUGqY/pmXsssePsRdSZraCWebrmMqJ3uPo8IK1lSaqEl4dCKkgUly5KuFIvd3rU4C/zD2dk2Lz8eVTwNz3TNg2xYQLf5twcZYJu34Iwri7g2RNmsQrnBchGgaIXpnOih/4c90dhZNYW6U5d/y5lqV5ub26O9bxi/euMFik+B89elTc3I1Wj8352tkAJqEQjCY05Wo71924f3GeaWYubJ2h3q670eE007uNCf97PAjX9/HOeb5BDbW9hIDCMMExwsYxHXPFihUiVdhUUW2PUClBZpr4EtK5KwJG58WFXFQzvdkwpYEdFT8Qkr09egCnf1GdINZtrQOWbPJtB2/jHjp45jtp6pU5a+5cRdu2bRGEbCBDXS7csk91MD2xakdKM7l5yrkjWkQzIdaEluZaMtYtXrjo+BhOmcUUQ4tTz3qC1duVYqShE4S6FqleCXjjbvU3w2yPkW+xuFz9W65kZ6iLYLiiq5pu4y1YNTOPaSXUsFgLo0UzhZS5YZw15qxS8PyXin4h+P69p3HrZUDfdiY0TjEhLtpzjWslEntoq3bOpmQGgnOnNi+Psmpezt9weREZbtKFVXJQAYhp6xFRFdY+b96nbjOAXZoG7e60c3SwdTGQ+O6ifCY1NRXuQi8/MNTbMYDqa1i3RAgTqcG87mUNrkixrnAFFJOagXNtL/8V//JHpHNXBJxcRYG5VUqmqRRGrwA4/Jb+GPvD+E1K5sVVotFtfHy8yz4vJiZGrIKCoipcjcqD3hPNF+rtjKtZrE2xbYbtCox9xazq7sylkXSylmwq+X3SMxXcPq4At7ymIN3Sc1vwehGr0OJYK1ytp6oM6wOMvt4i988LiLd/tKeS6V1Gw1oxUx24b7/9Vk87a9euXaHvkg3ib3jZ0u/w5TuA7s3M3qtE4qXMn2/p1WPbxNgRmGqekJCgO3f+UltOxO89toPaZLycWiDYckVXoyT9YI+kZi422ANjfXZpW+C42rlj7RpFXwSRDZAfVNGtgYXDhw8jNTUNiOuqZ57UrwGfxLbubsGCBZasNUMGjkzJ9C2kc1cEy5eb86ri+zpdb1coonnyW4SZUvVVIF9uizBvnWHf01a5NCXTWlTFIlfp7tRMbeUuPMx5437q1Clxc9eqnVbvoK2mssGrqIFzst/dxj0K2o9U8NXflse4AlU5QS24+20RV1EV+9HbSsP1+8P7mUS0b+KTJj098+WvFJHmOX2ppQZNExbwFqwVM1Xn7rPPPisyJZP9jK5/XsGZC+r9QV3UmjqJxJthdF5rmcIemQzWOQuVkkWWijk1j33h/FVMpazNy+3BuUJHpGaW/8rd+l3Aki0ReuDJ0f523pyhYtUSId69qZniWJnVxSwVc5qor2Zk9G4DRGitSJMuE6JhU6ZMAYLj9QycKkk24y3xeqRzVwQi35jDE99L3K8Qr0rwOgNVJEX9gpIHU5p6JXs2VZWj90Xmr1Pw8zzznbzzwuFyh3OniqoYnTv3Ocf7jynYd0zdpmPnrNqVuw2ehpYyyCi6Fpk3Ts7F9bubOF1Bp7sV/TyNjgSmPGcStWN3DbSkvoz71vp7KCgowKYdJ4EEdeWQufztzdHVdo1MePg6dTsrB7j8SQUnzL3eBnRQ05O8iaa1mSaqboclddBrGIty7h77WBGiSaR2FXW8XNAdRCIpV7Zv3y6EUEjnzp1LfYHqr6mZwrkziKm4YuWueiWTpZafaZlh1cTKXXmsgOblKXjikwK0Gwnc/FYyxn5RfH87UtpWQ+62dVY1bnHubWZeKCWzhXfZL2eghgAdPAFbfkU1V21dhauAILUgdGgf7yqbkJSMvPwozrmLaQ2EJor7vVurMsDOwF5B7DNGsk9aJp7FpRC08DQUvxg13mBs9j8LKNkubYNg5dxdXGcVhfRMvZ131yEY0ZqZE83oJSeZRK8dLb02I6vwxcN3s9XvmQ6Y1hZg7SQTbhqgHvuNfS6iQpz63A9zgT1HLO9x8OBBZEReBphUr2h4P+to5st3mFBLVU3HHkOvN29LySR04puYxyovtAFg0kKbQHR0NLp0sYTbv5+j4OPfLKu7v75iQmKs9x2TRGI/iKnSqZPaS7Qk9h5V8NzEAlz9bAFWbFX81rnjBe6WrVv1lTv2+CqP5uX2YM2xTtJgsQJ64MCBMvet6zda0dPgybhvgV/mW8/7rL/W6qkZwE6KK9vKXZUqVZCUlARXYxQJ48odHXEhfuMJMRXXyQ64hcs7G1ODL1P/ryRVMn0Z6dzZgUpVQj0svvT1dhq60UtVVQvJYh8UVXnla4tiZFLIduCYmqLmjpU7fkYI0oAs1djRELkrtdWYhuoLYioavXr10hsRG9NVtLq7vHwqV1r/zb6jCu57z3K89w0Bln1iQsOalnM/KlzRV+DYn+7N7xVrg2fI0R9uYxBiokz49FHbxrjAYGNakhehKWYWIFg0eDXWNFIynjC9dKQh6PHxIyYhgy2R+Jpzx5W74oJ7385W0OfhAtQbruC1KcDvi4Crn1XEc23atBFBD3+qu+OqZl5wTV1Qjc3LnQ3wOspgq7q7QWWuu1u4XkGbuxQ9Q8O4IHvbOAWb91q+n6WbLb1Gi+pvVxJ0qk6fPu1WO0eRMD2biqnzwbFW9aPuWrmLDFfQxkEVdW9loDGukzgQCEkCEvrrrYHKs/2HxD1I5644g5dQ+no7Da0WARfXItiU45Mrdxt2K3jrB3WbClUxxx5lwh8iIyNRr56xOMk1REREqE6kue4uLYPRY5d/rLhAmbdW3aZcdePqqbj11lvx9NNPIyfHvLRVDHl5eXorAnc7d3FxceqKJyBqYDRp7aLq7pi+c9OrbDSu3r/lUuDjR4PspqHef7XaFoSwJu/wSfV9lqw+KHoOkeqJF9DcThozG+AyxcMYfa2Y4J3OkFFUxcRVfDPGPmBMTdUUP++4HLhzsHcei0RSXG056+YoEmQL62rve7cAVa9WezdS8dnIsTPAp78DoaGh+mr2kSNHsG+fWXrR5+vtLJGnLs1d99tmWmZVTZ+JzcyDIkvl3NFmvf2Dgr6jLWnvNSoBiz8CrupyUdynONaQZxWcS1OK7G83depUXHPNNRbtgRIwrta6087ppQbMFont4pbUTJYfbNl1HohQ61M7NTUh1MdVJOvXMIm2CIL47kDyrUCQKkdKe+2qoIbEdUjnrijnjupY5gtVFpNq6WylEQOhcwIlFyGZqqfAGi72TvMFeNF/11uKaGBNnhiWg0M7ZusqadrqkKtR+925V1SFqYOHT1nSLj784B188803eOONN3DPPfeUGJ1+7rnn1AsEc9/DxEQ1xdcTqZna6p22cmdbd/f6t2oEV6uV+/CRwpM5HdXHH38c2zYvEw6epl769o/qOMxeZ1FNvaprVpH1OxMeMom6NDJ6qPcaDWM7hOR6Awo5d2cuKPjRfC0RH6Mel0TiK1y8eFFXOORcTmViIyu3KugwShHO2wXVLxAwNZFiQdrPmwGOixmK36Vm2tbbceXOVfDiWRdWCY4UgWVnRVX4HVw3VsETn1rsNYWq1n5hEisv4+44q9f20bbd8BJfZ1nd05wlnhcMYv7222+itnjTpuKllZmOf++99+r3u3WzpCu6te4uvnzq7hi4feqZF/H6Wx8jOzu70PMMXGSFtfOblMxCq3e89q31gv64TMn0TaRzV2S9XVvR0JH0aVt6JaTw8HA93cVYd+eIFL038MGv7GlmEZm4tOkG3alxR72ddd2de0VVrOrt2prw77//6vcnT56M1157rci/nTZtGt58802xHRISgs8//xzuxl6/u1rJJqSYHatlW9Segcs2K3j5a3U86at/+5zaj80I+7xdddVV4rgolz6s+3G9+e7n04GT5xRsO21J0b3n2qId2SoVTNj4lQlHpplwdU/vNRx6I3MqkNa5RLSyGDlyJBo3VlVivvxLFYchtw9U004lEl9hzZo1YhWiqJTM179lyqVF0fa2gcCij0zY/q0J4+4OwjBz7Oj0BeDDaf5Xd6e2QVCveE0mBZ1c6NzZa4lg/H4c4cn/KZhmGPbnbgH+GW9CJXNmRESYgl9fASqaY3CzVgKPfqTo7Y0YwObcvHTpUtHnl1Bs5/LLLy+yqTqdn+uuu05PyeRred9d2Cpm7tmzp0y1iry2ufr+uRi/aAwmrX8Cd43+X4n1dr4spmKbVaMTEltIFE3iW0jnzo40tEiHiDOnUzIP3ZDK5k91d5zIKO/+ySef6JN5ocL5SZaGzJOeNGHbVkuYzx31dtaKme4VVTHW23VqnFkoTWbs2LH4/vvvC/3djh07cNttt+n33377bV1Yx5107dpVBBeIsRZBW72jY/LfWmDEK5ZI7/O3muymH/EYtJYKFy5cwJhH78BIc79jXgA+8F4BMoPVdJzw3C1oUT+i2H1jk9xqFb3bKFZONIlVe3L4fAVxgUMnnYEeRrw/+c1Yn+jdxyKR2GJMubMVU6FKsNaqpHol4NhvJkx+OkislGiBzhdvtyjCjv9BQaNmHfVaVG9z7jgnv/jii8JhcpT1m3YBMepk2ax24YBXecNVNosk/SDRlHvXLscMHeejn8yl1Qy6zXjThFfuCiqkcEhBq59fNulKwAzesv7aaBds69bY023w4MFiRc+Whx9+WLeLderUERL6TPF1F1QarVPVfCemoxC+Km3d3dlUBYOeyMZfOy5VV09DK+H71Zfgv/nmH4JVvZ2qgGOC4hIFVU/Qq5V67hhhAMdXWzwEOk7/CrlacemllwrBhmHDhumTOJse0kCwxky7HT9+3EpYYvjw4WLJftSoUTh2zKwv72VwP9PT0/WUTNKjjAtUFudumdrU3Evq7mbMmCHSC++//35REL9sGffP4vjd87Ylcss0vMbVz+OXX37xiHPXtGlThJtOAblqhHD5VtWglRXW79nLrjTW28VEAlmnlogaOlKjhqVb6e233251IUMDyFoFTV6c5/xDDz0ET8B0YC0iv3//fpE+Y1t3R8dOa/XQrQXwzE2F3+fEiRN4//33rR6bNWsWqis/IlTt7Yuf51ves2GiTWGOD0O1UK2FyZFTlmP8ewWw3zy9XdYJaGAQnZH4Pv5u50pSyvzfH4ousnHPlfYdm0a1TLjZnK18Lg3435/h6Nixo7jPFRTW3nkLN954I1566SWxf08++aTo5VUcf/31F06k17A0L2/uHkl6vbY/vDoQ3cbhuju2YeEcRZjeOci4CmND7zYmvHNf4ee1ILbROapevbr4f926deK81myglr2i9f6krfn111/dopJpi966gQ5ZTDvRhNtZmL3S5k4Ff6+0qCILopri2kc3ICMjQ39o/aa9eu/ThjWyER/jH3M/6+tttSVkSmYAOXcjRowQBo4/oOeff16sXjBli7Age9GiRfqNkrhaDjMnVE4OrP1hOh//znsNnklXQmJ/uyYpZXtPXmAzNQ/5qQjP3Ske27AHSE337OrdvHlsWhcMhNXA9kMR6DroRQy67Vu880MO7n5bwZzVloLsxpHfolGjRpgzZ454jLV27nTuWLDftk0b4Pw8/WKCDl5pyc1TcPf4AiQOAq58oYreo0xjx0Hg+FlL6seSxRaD99Zbb4kLN+3cHjJkiIgM0yG86667sJXy2ebC8okTJ3o08tW7t0XxVTN6xro77YKAAilMx2TDcVtef/11NeDBwv+2ltn/1bH34LruhaO5fVucgb9gbGbO36zGR9Msv937r5YG0N/wdzvHuUpbuaP4EmuCNah+OWmmus3gjbZCb4/nbzMhxLwK9N7PQIcuatNjwrHxBphpsHatGqljmuP48ePRunVrkX5oC1P6GJxj6rmxeXkXFzQvt8cV3QyfU2Gww87d3yss89HATiXv60PXqaJZRmgXOM9rn0l7P3v2bMTHq3mcM2fOxCOPPCLOHY6nsc7uf//7nwgQe4IeNnV3zjh3VN1+63sFPR5UcPCE+cHc0wg+8JjQSSDno+/CHQ9/qv/N6p0heruf3m1tnEH4T0sEpum2dL1ensRbnLvatWvrqRe8aGUk59Qps+pEETAVghfnvAhmmtidd94pFPy8KbKnIQxeVFMgNEm/sC/rxTklojUlsuxTau0To6K2UvTuZsnqQ0DHvUCnA0DbNUDzv/HX3hvx+KchmDjd8rroY0/ggXtu1b/nqKgofPzxx24XCBGpmWf/0u/PXFY655hO9aAnFVErxlW7LQfC0fU+4MH3C3SH27bezhjNpMPE47/sMrUfDNMVWWvwwgsv4KefftIvmFifZitS4G648qChHQNVsZJtAqyfjDahdlWT3YsdGm7te//000/FaiXh6uT+JfdbN+u+sATdO7ioGZSHFTM3mHtB7TqkiHoVwpQgKxlpiV/g73aOqXbaqiLnVWMqHdP7zlyArpTH/phFUbeaSajEEirtHg0a7nXOnXDswmoA1R5QlSgRhJ07d4pU+dGjR4tVGZYlvPrqq8LJpZCIIK6LW8RUjAwylj4mDXJYVOUvg6glMwlKguf0/x43oYO5noqphTWT1Xo7bXWOdo4ZM7RjPK8J7R5XQK+99lpdbITZPxRg8RRWdXdxPbB37161lVUJUBBr8BgFY/5nKUvAhYXA2rZ4+Log3N7X/B6mYPy0dgDmzF0oeh8ePG/J3OnV2j2Ccu7iqu6W1My7BllSsCW+hzmpyjmoFsioJn/cTD+pX7++6AlDVSWKOHBpnqksWmEtf2wNGpjzm8xL+Ext4+Pasr8RRkBtpea58qUZW5ev3BlSMqmE5ExRc1EwfUe8d+pSoNr94rFFGxX0b1++q3favpa0z3x+3cleQGXLRGWXE5OxY+e7+t3rr79eRD5r1qxZLuPiDGLV6NMnAKUAMAVhxlLg1buc24fDJ4ErngY2GlZhCJ28j6YB0xYqeP9BBXMNpRkdG2XgmZXq1XzDhg2FsAb54YcfhPNEVTWey6+88or+N1999ZX4Xbh7jGxhGhJ/N/w9MaKp7Q8N4i9mf/WG/rwxDavwuUiHVfstPvjgg6hUqZL4/ikuQwO67L9v0eGmZ7HqgFmG7fRPaNr0Po8fd3lhjFyu362O0Se/Wx675ypVbMHe2Dn6W5SUfrxcWd/jz3bOmILPOUIbczEP/gqrXpclfR/P3Ax89Q/FmYDpa+rAFJ4MJfuEcO5cde47c64IB6npL0Cs2homVDmJ3MOToZycItLN+R1rqaQaFas1Q071S5CaBSTEMCBm/zde3rC+kSq9oql4bAes3XBMnCMi86cI2PJgzQ51m39bJanwvtobr/BQYP4EYM4aoEtT9Tk1m8dyzcLH6OQx/fKOO+4Qj9O5M6bzvvvuux6d4xispEgMhX3UWjiTOI6bbrJTY2Dg5tfU9HrCORyHxkHZ9yJiY6PwxBNPIO1iJuasPY7DF6oA0c1w/WOfYtZn4SiIsXjgXZu757xwF2zHwbYZu44A1/Rw/NikrXMOZ8erNHauVM7dU089JU5+Rio5IdK754U3Vy2YosK0NEqmc2WHRpD57VqDUw3eN+YxG2EuN9PZjNCpGDp0KFwJVyJESl3DZ/TH6lU6hgMHSu5pVhJMcRBcWKw/NndVFu7op+UClC8lRa6279yP3ES14XQQcjCsTzZMuWewYO4vOLJvA5B7Csg5BmSoy4u8sOGFPi9yeEKWRZGqtIgLJO5XGgVvOoGp70vXHkb1ClrYrXi2HQzFne9WxvFz6mmfEJ2PTx48hc37w/DetARk5gTh6Glg6AvmyR4mxEYVYP+m3/RoJldgjcfOlSym8bAuTYPpKkz78cQY2YPps7zA4W+VAQb+Rkf0DMPslZXRoHouxlx7EgcOFJ7EWczPAnltJZLpZoSF/oxya9HaTdMHI7T+t8jNOo3Qs98hNPRhrzn2shKWz4ugmsjODcLqbbnYtvMYvpjJgEgQwkML0L/FERw4UPwE7UgUWVK68aKIg6vwVztHjMq/devW1X+v6/eEYc1OVaGieUo2qkQfhyM/5eG9EvHNv3HIyDahQss3cGbV7UJ4goEvLa3PU+fKX/P2ALGP6fdzTZWBmmPUW9pq7Dk5Bcg+BNS6CYhth6hKXXE6PxEwa4y1qpOJQ4dOwl10bxqP9bsTxHZWZF/xXRnTZm35dTHPuYpiu2uTCzhwQE0fdnS8WlYH0i+oN6ZharCHrXZe0MFjcO/DDz/Un69QoYJw7Iw1p56ibb1KmL02CghNFPVwrJnUewzb4dCpEPy9XA24JMbko5HyMpbve1XcpxPL3zLTjT97LA+Dx+ZCMYXiQuwoXH3rcKDCV+J1sWHnUJCZ6tDvw5dIDAM61uHqvvN/K22da8arNHauVM6dVnPFiB9XL7iKY1QDZM8cXggyekKjx2bXWs2OBu8zzcseTPtizYO7I5qUixcy/2ziSMMcAVzeoyqKCZo5DFN1KKOOnMMIKziGnKCqWL83AtWqp+iiFOUBHS+eMPxOivP23/76MBCqdk1tUXUHvn2BzVpikf/SaHzwwQeiRxtTVXhxwpoTioK4I6JcHDwmOhmp5/4Szh3ZeKgGujrQYJ71g8PHqQIqWjrdzDeD0aBGZXQ+dAh3XJmAhz6wpLcoipqO0Ks1U3gsBXmsxUhJsRRhcpuGhCt4FFPh+T5hwgS39f9zBApDaOk9vEhltJWHcLYPjzMYQUH2mzg+9thjemSJF7r8XWvnFqOi7HtH9cisC3uANWoKU5OWLd3S2N6dtKgLrN4BHDgZitkbaunn0A39g9C6Wc0y/xYl3jte/mjnCNNFNaiEWLlyZbE99lvLax4ZHo7atR0rOH/9XmDqQlWB93zkcCDsGSg5x4SIE9/fk+fK5qO1gTh1mytwe4+akK/FY2LbqzcDGTaxwuv7RVrN+a5mxEDgoz/NdyoMFn3VtBIAe6xSfQ3BsEvikZISX6rxYhBC68vKDBVNHEfjvffeEyUI3377rfhd/Pjjj3ZbaHiCK3oAs80CaGzAvXbtJ8V+Z1MMZXk39zmBD55UHbuKFSuKlUle93C8BnSvhoeuPocJv1cQ6ZnHEj4GgtUATqvaF916Xngz3jh3B/p4hZRH6wDm79vCKKfWD42RQaPKIp0G/g0ftweNmyccCVFIHFEHCFdTFbs2576Uz8Bz0uDFAKOZOWfmA5VuEEqUG3ab0LFp+ec184Qp7qSZvko15uTGvpn6a/k/L+qZU09RABqVatWqwRvgvlF5dMa8mUCKmhrCtIr7ri7+O/r6b7URuyb53LEJMP0Nk5C611bF61QLEvLR0xYAD05QcMysCXJZRxN+fM+ihtmnT59C48poPqP7THVi1F2rT/AWGHXVevJR9a+kdBXtt6DVnnCVgs698Rzhje0RqJppXKXjOe5vk3ur+gXCueN09qLhQurBaygFbyrzb1Hi/ePlT3aOdUNaSwDWFmqCMCfOKvh5vnosSXHAjf0dO7+1dML7ry7AOz8B+UoYUPNpYM9DWLx4Ma688kqPnSsUUzmtWIrQpr8RhMRY4Me5wDezFD2d0QjTMNnsmzcqC1N90tFxKA86NlFQITYHZ9JCRY3gX//cLhSt7ZGXp2D2KkXf767Ni//OihsvZnXw3CAMVtp7HcsNrrjiCrGSIGrgvYQRA9Tm7aLvaPIt2LXiGbGiaO/ahb/XKbMsLZ62zH9Of+6ZZ54RK81aUJNjMP6hipi24AQOnasMhFmum/p2iPC6ecrTeOPcHajj5dS7cmXin3/+EREepqkxXYArAlRJYiGu1geLdQlMXdFaADCVjXULf/zxh8gf//LLL0Wagb06BE8iauIM/e16lLG/XZEtEQypmUs2w+3sOaLgUJq5NiRjJ24dUvjig0af6Qne4thpULhE9LvLVpuqsjaO6m5FsXmvgjvetDh2LBieN0F17OxdqF3b24RtU0yih9OYG1XHV5MMZz1NUePBSCfTFBm99za6dOmi12w4qiT27LPP6ttcxbVNNyOxsbEitcwInTt/o7VBVIWiEaRzM6BtI1ls7o/4u51jgFFrBWBceZk0Q62bI3cNorCCc+f3mBEmRGvTX5WRQFh1j4uqLFjKnmTqamt82EnRvoFz/0PXmbB6YhA2f23CS3eY8OzNwC8vm7D3RxPOzjRh7vtBGH9fkFCvdKdjR/h5V/YwBwiDo/Hv2lC7fWjJim3AebNg8YAOXPkt/b7aiobZgyt2DGB6k2NHEmNNoiebICQBqDi0SFu3bDOw26xx1K7eecz962uxzfpYowKoRmiICX++XRkmmH8cZq7qrabCSiTeiNMuI6P5vMBmGgqjOKy9YT0ZL4D5o2faCqMft9xyi0gHI4xOUoSBqS1c+WDPFKP4hFdJQ5tTMgupMJUDeg64wblbvNH9xbiTZlg+Mz7rFyQnW6JR3s7AgQPVjXN/i/+4+qn1o7PHhF8s/Zoo6f3rKyacPnlI1AqwyTfPTdbVaNF3wr41L9xuwhv3BGHtmmVW0UxfhI6ZlmJDlbiSem8xzUxrecEIrUgnLgL+nh944AH9PsfU32hVv/BjD8j2B36Nv9q5opqXcwXo0z8sqxn3DnH+/K6UYMKD15jvBIUBlYYLp7iomkN38NPsC7psfaf6hevmmtUxiXYOr44MEoG9OtW8QyHwul6Wfcip/CgWLrTvJP+1XLErY09otxikYHsept3SISuuibvRufNFW3fPVYbjrzqySOeOK7Yaabs/0bepKUARJHu0bhCER66xpFwH4yJa1ZcrVBIvRpEI9u3bx1+8gnZbFfTIV0L75CsZWQXl+hmHDx9WPwMmJbjHBfE5la/MVwoKyu9z8vPzlb1794r/7ZGbW6BUGpwtPhvdspRLr7hF8TWaNm2qoMIQ9Rh65Cv3vWP/WE+fL1Ai+qmvibkkV3ll3PtKx44dzd+B9e2PP/6w+x5jx47VX/Ptt98qvsrTTz+tH8cPP/xQ5Ot4Lnbq1El/7TfffFPiuZWdna28+eabymeffab4I+fTCvRzjbdKV+QrWdkFZf4tSqyR4+Uebr31Vv33vWzZMvHYL/Ms5/iVT5V+/HceNPxWWq8Un/Hff/8pnjpXag1You/PxKk7FV8hP79AqX31GX3fr7htot3XtbnDMi8dP1Mg5uKZM2cqt912m5KYmFjIzrVv397umKWnpythYWHiNfXr11d8Edqu5rfk6uOR0uzKQq/JzCpQEgaqz0f0zVYQFC2OuWHDhkpubm6x51dOboHS5jb1uu3mF8+47bh8ATl3e994ydCDGZF6F5oMRKmqluz/4mxaSkkwPUdVvVGgnFdX706eA3aXQpWotMxcBpy6YC61PDsdXdv7nviFSM08/y9QoKqYzlyurrza8sVMtcCfXNzzIcY+/QhWmlsa2ELBEE0R05+imfb2vbjUTEZ6tTRUNmG/8cYbS3xvrliwebPW2N3f4EouBXg0Rl0BhId5ProvkZQG7ffN2mCq+pKPfrPMn/eXYVW6QU2TqFUTxLYDIup5LDUzJ1fB4XRzmnjeWdw42HfEL5ia+fo9lnrM2du7FJKlP3Zawbpd6na7RsDaFf+I+kmKfnG1WUsfNsKVVK0Xq+1qrtaWo6iUTG+HK673DrEImR3IGlBIyXPGMksaa3TWbKBAXY3jCntx7Sa09MyVE2Ox6SsTvnzWvT1+JRJnkc6dGVenZNqmZhacs4h0LN4EtzFppsFAHP9Cb67uS4jUzPyLwAXVSTlwHNiyz/o1TDP6WLtgYV+8ox/rz7Vq1UqkWVExjvVohNuskTHCuhTtQogKkMzJ91WYLqkpeBbn3LHvkwZVw7xJ9dOTUFyJUB777iulYyfxTXjBz1pBQseOaWisS56/Tn2+YU2gv7V4pNMM72f4fVQaKkScPME/yzJQEBQjtpOwAlGRnlV7dpbhl0QjBup3lR3aBJ9MtXZU/llp3bicQmhGhy4mJgY33HCDaEL+66+W5oVMJ9YakPtbEPOmAUBokPnYKo/A7H+XWD3/zT+W658zW9/TWwVpvSpLgjWNzeuaylTbKJG4A+ncWYmpdHeZmEohUZXUJW6vuzt8UtGl/pF1EDg32yedO9a70HDh7EyrFUkjfy4BDmqt587+DWTtwZgxY0TN2fr164VgSOPGjfHWW2/pf8OWDxRT8KdoplH8pH379roje/Jk4foTPq71OeIKM9t3SFTGjTLh4euA314zoWayNOwS30QoQpvRxFQ++9N61a6sAiJD+xjuVBomVIS1umV38vUMi6PTNsWsoOFjK1HXtbdEfl//NgT5+Zbv6u8Vlu2U2G16ewuK+Pz+++84deoUvv/+e1x99dViLtfaeOzfvx8fffSR1WcZA36+7NzFRZvQr+Up9U5IHCbPtAjRnDyn6E3LI4POAOdVh3b06NFS4VHid8gzmukbOTlYu3YtEK+uqrGeupuLRP90UZW0Vbr6krtW7r76m/01zHdOTEa1alV0GWxfgmmAl1xyCXD2L/2xmcusHeQPfjXcP/qRUP98/fXXheKl7YqWJojARuSU93dGPcyfUjPZ31CDDWvlqp0FOnTvPxSEwV2lYyfxXbRMBE1Mhc7C1Hnq/fAw4Nai26k5TEoVE7o0M9+JboEM1BbiMu6EafrzN5oVfgtyMbi7b63aaTxyaxMgVY1cHkutgJ/nG1sgQG9bseo/i7NGgbCrrrqqkDjI008/rYvFMHPl7NmzeoaKJrLDDBX23vJlnr5N7d9Llh9opW//8C901eysg1/wxEClSpVEr0qJxN+Qzh2ADRs2IDsvHIhWJ4KW9YCEWNdcxNG5EA1jlWwEUdKfCoaH1KiSK2G+/hczDWmKJ77yyVU7q7q7rD1AhtqoaOkW4Fyaenwb9yhYsN78woztwPk5ok1BUdE51otp+fZUu9PUJP0lmumIc8d0nm+++UZsc1WUbTAkEol/YauUyXmSdd/k8k5qfWl5MKyvdWqmu+vuNu8FzmaYm3lfWIAeXVxUZ+FiWrZsgQrpFsfthS/yhUO+bAtwwZxk0q9tPqb+9IOujHz99dfbfS+u6N18881i+/z583rvUzr8WoaKP9i5nm2jEVWgrmJmhTTFnGVnC6lkKsfV9gf33HNPkQqZEokvI507PSWzK2AKcmm9HWHkTFu9yz9rucBeUg6rd2kZCj6aBvy0IAbrdwG5eZbJjP3g9msp++fmANkHfdq5Y3N1gXn1Lj8fmGWuQfjQZtWOAjZ07oqCKYh333232KZsNyWR2VdIuxBiE2Jfj2YSpuVoDq6tczdp0iRdsvy2224TjVwlEon/wNUsbeWuQoUKYpVm6jzFvkNWRq7vQ1tnfu+KrLtzr3M3fallO/jC3z7bf5PXC0N6xQAX1LrFnYeD8MNc6xYIFYNWiWbthLVjomShCCgcojkzTM3ct2+f32WokB71t+rbb35zXtSVrt2p3g/OXAtkbheCQvb62kkk/oB07uzV27V0beqVK+ruzqYq6POwgoc/AJ7+sgLajQRiLlXQYVQB7nm7AC9ONgqpTBL/+bJzR3ETFkIb6+5mLFVw5oKCb9WyMSDvAnByijBYqkpp0YwdOxZxcXFi+4svvhDiKlrRub8YPB5f27Zt9UbGp0+fFttUCTXWYDAlUyKR+Bd79+7FmTNnDCmZwK/mGE9kODBI1ZYqF6pVNKGnZkejGmH+6vMo0GsCnIMrVafOK9i2X8HC9QqmLVDw+XTgr5VRyLLWBdH5baFF+bhJ8h6Ryu+rDBp0OXDgRf3+S5MVzDA4r1uXqMIg5Pbbby/RbrLGjHC1juIq/iKmYuSuq2KBvFSxvWBbVXw0zXL9k39ksvif/SqrVjXIIEskfoR07nSlTHMtnItX7qzq7lItM3RZ6u5On1fQ9xEFa9QMRZ2cXGD1dhbMA0s3q4+F4rxogeDrzp2empm6WJ/EqR7GY9XaH7CukKqaJRk8wtx7tkMgvAh55JFH/M7g2R6LpmL3xx9/4ODBg/qYNmyoaZlLJBJ/Tcmctw44rS74YHBXICaqfIOaw/tb3i817FJd8MNR1u9S0PDGAoT2VVD5SgVNb1HQ6yEF145VcO87wAMfV0LPBymcZR0YPX5GwZqd5kub9E3o2ta3L+D79euH0IylwPn/xP3dR4DNZnXoVnVzsHDur3qGiX5tUQwUFqtYsaLY/vHHH7FkiRpkZgC0Vq1a8Acu6dsFOPWd2M4rCBfXBQIlFziltoJ4+OGHPbiHEolrCXjnjpHM3XsOAbEdxP361YGqFV27cscVJ7FKlHcGwdlqrsCanRCrTs5y4qyC3g8r2LBbvZ+cCDxx/TkM76fKWtsSfPILMcExYuXrUSvh3HGyPj9H3D9zAXj1G2P7g09Eisq1117r0PvRodPaHRjV3fzVudNSMydMmKA/Jg2eROL/YipUyvzpP4u9Gdqn/G3etb2AIFOBoSWCc6mZnMt3HWY6adGvod1sdxdbOShWysmKYj6eM9N9PojJawXhtB14qdBzSaaVeo/X4urKjTDlnqUHGlp/V3/JUNGOsXG8nRYcZ/4S111sgdShg3rNJ5H4IwHv3Imm1rEdgaBwcb+HRVzJZVCFkCqNJP+UGlJiiszvTpYlHD2toPdDit7jrVpFYN4E4N7BqfhuLLDjuyBc+NuEBR+Y8O4DJrxw0xlk7XxGvNbXDR7hBC1qwwyqmZnZ1u0PmHrBInNHiIyMFCpiRqiymZLiO81vS4IXCZpiGp07qthpYgcsuBcqpBKJxK+duzZtO2Ka+do3OhK4XO2KUK5USjChQ4M09U5EHfw+96hTDcg1NcioCHX/qOT52DC1LclHo4FaldQAHFcf+z+qYMLPinB0pi81eINnZ/iFrdOzVFgvb2DXCjUwxzm9uLpyW1hjbqsc7U9BTHJ5rxpW2VGCk1PEfzKIKfF3Ata5oyLiiy++qKbsWaVkukfqXK+7O/Wz/pixuL0kDp1Q0OtBBdvVbDrUSgYWfmhCo1qF+770bG3C6KEmNEucDyhqlM4fDB4VLgcMGKA6crYc/VD850hKppGbbrpJNDnX8KdoJklISBDNi8nGjRvFb0CDBk9z/CQSie/DFPO///5bOAcikAmI/p6rd8fjnNnvuqIrHSjX/O7vvDJW3166q4a+ylQSFBhLU/WdcHUPYOZbQfjqmSC8fX8QnrrJhHuvAn5/8TgGmBdfGBx95EMFN79qcQqRcwIhWet8VkzFyMCBA9WNA5YVt/ioXBze9rvY7tu3r1NBSIqJvPHGG37t3InjOTbR8kDuWVGjz+yca665xpO7JpG4nIBy7mhYWHcwYsQIMRG+9NJLoreZ0bnr6YaVO6Lnxl9cjZgQtenm3LUQheMlsf+YWnvA3HtSpyrE6tzZo6vFsVHS3p4RXbNmjb6tCWv4RUQz9wSQZpbKJBnbRKpm/fr10a1bN6dXVd999129NYI/9sDRjDjPkT//VFeOExMTdZlsiUTi21A9kenWdOQ4R9LB02BfT1epZNpyXZ9gvZ/rxYiB2LfvgEN/Z+xbenln6/2jEMi4cePw8vOP4P2Ru/H0TZbnvptjzN6YiRbNmyE8XM3K8WWYVSGct7QVCDr6LqLCFTSNZu1YQamCmITNzVnPp2XBMEvFnxDXWGd+1tsl4egHgJKD+++/Xzi3Eok/o17B+jlUPZw6dapo0rx69Wqr54KCwxCU1APsGlC1AlC3mnv2ifneNDrct+Bz04DYu0X08beFwKgri/677BwFlzyqYJ/aik3UCM59H/jlu/dEobSWP8/31gRC7Dl3/rByZ9US4cwMNb2WHP1Yl/QvzUoUo6BMYWJrALYP8De4Gvn+++9bPTZy5EhERUV5bJ8kEknZ2bFjBz788EN8/fXXuHjR3AjNDJ0DXtjefc9DqDVMfSw2CrjMPG26gsRYExpU3IedpxsC4dXxxS9z8NqTJTsRrJsjLCG7rJO14uewYcN0O860cgZs2zZMxm3jFKRnwjols5d/2DnaMTrpn376KQr2PIGJL1fD3Xffr9fk0VErzXvOmDED//zzj14m4k8wYNm6RSOs39ADiKwvHGOWXtDWSST+TkCs3KWnp4scc6Njxz4/Tz/9NP787wDylEhdJdNdaWl0vjp2VK3qhV0THU7NnDpPVcsiTMH87eXzuP+uq/DYY4/pjh3hsdGh1eAqjebcJScno1o1N3mxLqZKlSqqo3rkXeDEN4g89wVwfKL4Hm+55ZZSvy9XNv3RsbOtu9NWK3nRJ5FIfJuvvvoKH3/8sZVjx2DVb7/9hj179uCJJ57Awk1hegPsq7oDEeGutXnX9rTYpd8Xl7xisveopdygSzMgKU7dv19++QVt2rSxsuMHDhzAFVdcgYEdMrD8UxPqVTc/kXNS1Kf5SxBTz1IxQ3uvfcd0dksbmGPPuyFDhqBy5crwR0SWSt4Z4dhpZRe89pNI/J2AcO6SkpLEj5rQOLCH2aFDh/D6669j/f5kt9fbFaq7S1+H5Dh1oqY89clz9h08OmgTfrE89/DAzbi8X2sRfdPo06ePvk3nRpM53r9/P86dOye2afD8qbZK1CMUZAI7b0fm5lGirpDCIP7QeNxVv4cWLVro9xn19RcJbIkkkGFTZiom8mL/nnvuEf0s586dKy7gGcSxDSC6QiXTlodvqqvOz1xZPNsceUyTKYa/zKt2ZFAXE7KysnDffffh+uuvR2qq2vaGKfea2jOdPZYjNEkpwJqJJnSp+CWwqS9QkOFXzh1tu9av7/jx4/rjpUnJDBRs6wgfeughj+2LROJOAsK5I0xZXLx4sVi94mTI5Xk2RH3pK4uh6etmO2DsSVM9XFV1Yp9XrbGsLcu3QO9lV+3/7J0HeBTV18bfTUISCL333nvvRaQJolgoInYU698udrE37GJFwfqhoFIERVEB6b33Jr3XJCSBJPM9752d2dnNJtlNsv38nicwOzs75e7sPXN68SO47+bWSkkl7FvDvIo5c+YoIUgY8jlo0CDs3LkzLEMy3Vk0DUTg5YwqRGPH2tNPEITQhUaaNz/+G6s3HlQhfE2aNHF6PzVNM6sylygKsyCJL6lQtghKQ++xlxFVFlPnnslx+1lLHTK5SaW9qm0Dr8Vg+PDhSqH78ssvUaxYMbNX56OPPooSRW04t/09lXfNvGmrESvUYdVn1wJfDRo0UOMjZG9AN3Iue/fuHRbFdQTBEyJGuatTp44qrmF4rHYe0HD1Mxou2iNG7hoENK7pX28Wk5iNvjTndn2Ra2jmBz871h9a8SQymaRnn8DWrl2r8s94fSznbyRKs48flZ8///wzbJU7hrfSG2XA9ghUaoXsYdguq2N+8cUXXhedEQQhOGHUx1u/d0ePh4rjr5VZ5cgfy52rUMbF+kfmdW1gzyUAMPZ7+wm4ITlFU9ErpHzJC7j+qmZYt26dGUI4fvx4fP/990qpY7EYph4YHknmEb/xxhtms3Q+yPMz4WzIzGteeaTAEMxJkyYpLzYjtgQhUvBauXvllVdUtS26uxnr/e+//zrF+9M6whh/VuqyVmzctGmTqjzIB8lRo0apVgSB4tQ5DZc/ruGUHuGhrJcfPOD/CZKJ0AwTJTvX/YzaFfWqYvPXAkdOOgvmg8c1/DTPkk9w/Ec1qT/77LMq7KZKlSpOZY4p9Ayr7Y4dO5RQDFfljsLdLKxit+zSMytkD5VhPgyNHDky0KciCEFHqMq5Rz/WcOQUcPQU0PcRDU9+lomLljDIH/0ckmlwy5VlgDQ9ymTF7kpYv8u9AfOf1Swapi/HJ/+DZHteGRU5tnK4/fbbnZQZRiB8+umn5msWEWP7h3CUc67KHQ3D+ckrjxSYdkDPr6RpCJGE18odY9t//fVX1QD5ueeeU8rFmTNnVMjjlClTlOCjYrF48WIVKmGULh49erQSev/884/qI8bPBQI2R73mGQ3bdTmDxjWByS/YUCgmMNYv5kIY1Cquh07yWcE1NPPT6RrSdUedKhgCLQ3vvvsuXnzxRbNsv2s/s1mzZqmCI1aYOG1VBMMFo4ErcxKYnyEIgpBXQlXOjb3bhn726peUI69/D3T/n6ba56SkaZihp2CjVDGgd1v/nVe/Pj0Re1zvPUpe/toQZtm3QDi4UTdIUl4xDDO7EEsqfIxEcCUclTs2HmfED6HRIVwKowmCEGDljr1QjKReWtBYofH48eP47bfflIWEDSKZ/8UCJlxHmO9FbxIVGcY/01vA0ImDBx2hGv6AFtZRYzXlGSPlSwGz3rCpOP1AYe2jdmitozz9j/9oTnkSn+ntyPQm5Ic/Vd4qPoDkBEtf8wHFWkkr3IqpWC24q1evxoYNG8Iqz0IQBP8TqnKuQmkbfnvTppS8mGhHrnbLkRoe/MDRKuCa7vCrQZMy6OqOp/SoE1a+nGfD9v1aFvn8m56ah5ioDGScmKOWBw8erPLNcoKpCK49ScNRuSNsXcBoHeYcCoIgFFifu9dff10pDSzYwfATVq7as2ePCmMx4DqWXjZ609DiZMA4eApHrnfnRaIFlH9OJxoTYwrbvEIr5tez7ecQC0x9GaheQUNmZu6Nw31F7dq10bZtW2WZ3LJqCuoM/Rq7Dsdh4QZg/9FMVCkH/PAPm5vbP3DiZ+DCIfTs3VuF1hkhKAbGa+N/lvT/v//7P1xzzTVqHStLun4mXKClnHhzfa7jJWSPjJV3yHj5fryMnGVfEKpyjjw8DOjaHBjxElsLQLU++PxXx/tDevr/vhwx/Gr8eM+7QK3XoMGG177T8OXjDtm7YTewX9f9UNK2Dicyk03lLjc5R6jsHDhwQHlX6dFizl04/vaKFi1qFlbx9PpkLvIOGS/vkPHy7XjlRc7lSbljXDv75dBSScFGyyYbPluta1xOSdHNhPzf1fLG1/yMOyZOnOiUI0ZYAXLo0KHIK7OWFcHT48uZr9+64zgqFT2PvXsRFF4no3dPWczDLvRTITVfTDuFm/sk4u1JDK3UKz7hoB7awoIp7PGTHUYVTdK8eXPMmDFDtUPgsXL6XKRiHS8hZ2SsvEPGy3fjVatWLZ+dRyjKOSsVigC/PGvDM1+VwcxljvMqXSwDtUsf8Lvsq1+/Poon34NzF0cDhUrhuz80jOx9EFXK6iGa3/9enAGjavnUru/U/2x3wL/sZJbrvcLxZNVoGvqOHj3q82sKNWQu8g4ZL++Q8fLNeOVFzuVJuSMMC2SVQlYiYqIqwy7YLNyAy0ZRC/5vfc94P7vGmyxj7xpymB+L5rZ9wGOOYpR45Q7g7iEORS/QsMH6a6+9psJSjm36CCitW4b/XlcafTqVxsb/9O1i0zbgQuISNfYM+XHXjJOWAN4w/E6s2j5DNAV4PF5CVmSsvEPGK/THK5TkXHZMex2Y+DvwwAfA+VTg9oHRqFM7MPJg6LWX4Ys/PwRqPIf0TBv+b0FVjLN3Ylmy1bFd5vGZZl6ZuwebnO4VKpFC8P+2ghkZL++Q8Qq+8cqzcmeQkZGhQiE4AbOfmtE0kpZOth8wQg9/+ukn8zNsSsrPcL07KNwKUsA1qK7hseEaXvoauKU/8OQNtqDKO2NvIva8Y0W2PZtmoe7QVOw8HI9FG4GnLYbdC/+9bXrtypXLWTnlDSM/Ms+R8fIcGSvvkPEK/fEKBTmXE7cPBPp30FToY682HOPAyL/rr78eX3w1GKj6MBBdFBN+A569yYb4OGDxJj1EM8F2AMmpeqgrvZg53QvBeK8EMzJe3iHj5R0yXsEzXl7tNSkpSSXzMsyECeZ//fWXCidkOX+W6P3ll1+UMGNvNfaiMcr2MrGZeQusKsYcA/YbadSokd+qNlKQvTgySiWaf/ZocCl2BtZk8Iox9i6zAP7VW/ygSEyian9ACipsRxAEQQgPOZcbVcrZcFmHwFWGNnqyVioXp4qCEbY9eGeypvrvGekn5w/+rP6nVbtDhw4BO1dBEIRQxWuVcerUqUqY0XvEctCsUtWgQQN07dpVJT6zJD3/79ixo9lImtbJsWPHqtCWnj17Ys2aNXjppZfgb/p3tCG2UPApdoRjZjRj3b3sjSzvx5yYCGgXVNiOtX2CIAiCULCEspwLZijjlHHywLtAZqpa98l04Ns/HIVVtJMzzfxD8QIIgiB4j02zdmAVAgobcf/xxx9que7Qc9h5WE+Cj47KRMaS6sCFw6pSG63KOcXyMvmcOXYiGHNHxstzZKy8Q8bLO2S8IoOlS5fqvdrqfAhUdu5JGo3zyFhYGtAuYsmSJUp5dofcK94h4+UdMl7eIeMVfOMl30IQMXz4cHO5LOaay3VLrlOKHZGQTEEQBCFUYagl+wjiwFgg86LTe5kn/1SKHfPQJSRTEAQhb4hyF0QYzW/JroVPoGF1DZXLAmfXP6zWSUimIAiCEMow513lmKftA47pLQ8MtJOzzJDMYMyNFwRBCAVEuQsiSpQoYSbnHz+0BeNunYefRy/HkT3/qnW97Y3LBUEQBCHko1QOvAFoep87xanfTOVOEARByBui3AVx1cwffvgBkydPNl9LSKYgCIIQ6jRr1kxVEkXKDuDAO2qd7dj3wMUjKiSTvQUFQRCEvCHKXZAxcOBAJCTohVR+/vlnU7krVKiQhGQKgiAIIQ9DLk3v3X9PoNG5XtC23WIaMSUkUxAEIe+IchdkFClSxCytffr0aRw8eFAt9+nTB6VKlQrw2QmCIAhCwUapbFk3j+VU1LJEqAiCIOQPUe6CvGqmgeQgCIIgCOFCvXr1VON3K6yi2bZt24CdkyAIQjggyl0Q0rdvXycvHUMyDW+eIAiCIISb945IlUxBEIT8I8pdEBIbG4trr702W2VPEARBEEKdYcOGOb2WkExBEIT8I8pdkDJy5EjTgnnbbbcF+nQEQRAEoUCpVq0a+vfvr5abN2+eJUxTEARB8J6YPHxG8AMdO3bEv//+i8TERFP4CYIgCEI48f333+P3339Hz549JSRTEAShABDlLojp2rVroE9BEARBEHwGUw6uv/76QJ+GIAhC2CBhmYIgCIIgCIIgCGGAKHeCIAiCIAiCIAhhgCh3giAIgiAIgiAIYYAod4IgCIIgCIIgCJGm3F24cAEvvPACLr/8cvTo0QO33HIL1q9fr9779ddf0aFDB3Tr1s38O3LkiPnZTZs2qYalXbp0wahRo3D48OGCvxpBEARByAci5wRBEISIUe4yMjJQuXJlfPnll5g7dy6GDx+Ohx56COfPn1fvs0fNggULzL+KFSuawnL06NFK6P3zzz9o0aIFnn32Wd9ckSAIgiDkEZFzgiAIQsQod4ULF8Ydd9yhhFlUVBT69euHQoUKYe/evTl+btWqVWq7q666CnFxcapB95YtW3Dw4MH8nr8gCIIgFBgi5wRBEISI7XO3b98+nDt3DtWqVcPOnTuxYcMG9OrVC6VLl8awYcMwePBgtd3u3btRr14983Px8fGoWrWqWl+lSpUs+6UFlH9OJxoTg9jY2PycbkSQmZnp9L+QMzJeniNj5R0yXr4fLypfvkbkXPAhvy3vkPHyDhkv75Dx8u145UXO5Vm5S01NVSEnzEcoWrQoWrdujR9//FFZOzdv3oxHH31UNSelEExJSUFCQoLT5/naCHNxZeLEiRg/frzTOlpS77zzzryebsTAm6BWrVqBPo2QQcbLc2SsvEPGK/THS+RccBKM90owI+PlHTJe3iHjFXzjlSflLj09HU888YSyZFIYEatlsmnTpirvgPkKFHoMc0lOTnbaB18XKVLE7f5vvfVWjBgxwmmdWDMFQRAEfyFyThAEQQhFvPb10Y1IS6bNZsPzzz+v/ncH12uappZr166twlms1tADBw6o9e6ggKOV1PonQk8QBEHwByLnBEEQhIhR7l599VWcPHkSr7/+usoPMFi8eDFOnz6tlrdu3apCV7p3725WF0tLS8P06dNVjsGECRPQqFEjt3kIgiAIghBIRM4JgiAIoYpNM8yOHsCePVdccYWqBGZN8Pvggw8wb948/PbbbyrvoHz58hg6dKgKWbH2/3nppZewf/9+NG7cGC+++CIqVapU8FckCIIgCHlE5JwgCIIQMcqdIAiCIAiCIAiCEJz4vo60IAiCIAiCIAiC4HNEuRMEQRAEQRAEQQgDRLkTBEEQBEEQBEEIA0S5EwRBEARBEARBCANEuRMEQRAEQRAEQQgDRLkLYn766SeMGDECHTp0wGeffWauZ4FTvr788stxySWX4OWXX8bFixfN90eNGoXOnTujW7du6u/+++936t9krOdfx44dMWzYMIQDvhgv9qvi9r1790avXr1UY+Pk5GSEA74YL/b5evPNN9GvXz81Xh999BHChbyOF/n666/V++yJdv311zvdQ1999ZW6vy699FK8//77ZlPsUMcX47V7927ce++96Nmzp2pXIIQHIuu8Q2Sd54ic8w6Rc+Eh50S5C2LKli2rJhj+GKz8+uuv+PvvvzFx4kTMmjVLNdsdP3680zbPPPMMFixYoP7Yn8ngqaeeMtfzr3379ln2H6r4YrwmT56smhXzBzxjxgycOnVK7Scc8MV4cQLfuXMnpkyZov6WLVuGadOmIZLHi/fQkiVL8OWXX2L+/Pl44YUXUKhQIfXewoUL1Thx3Lgdm2SzCXY44IvxYkPxvn374pFHHvH79Qi+Q2Sdd4is8xyRc94hci485Jwod0EMtf0ePXqgWLFiTuv5Q7nmmmtUE92EhATcfPPNmDlzptf7P3HihJqUaDkIB3wxXocOHUKnTp1QsmRJ9Vkeg1aVcMAX48XP0opVvHhxlC5dGsOHD1eTXKSOV0ZGBiZMmKAeEipWrAibzYZ69eohNjZWvc+G2FdffTWqVq2qhMQNN9yg1oUDvhiv6tWrY9CgQahRo0ZArknwDSLrvENkneeInPMOkXPhIedEuQtRXF3ax44dQ1JSkvn6nXfeUS7we+65Bzt27HC7jz/++ANNmjRRP7hwJ6/jNXDgQKxbt05ZMbn93LlzVXhPuJOf+8v6WS6HwwNCXseL/6empuKvv/5SljhO9lOnTjW327Nnj5rUDerWrYtdu3Yh3MnreAmRh8g67xBZ5zki57xD5FzoyDlR7kIQxoH//PPPOHz4MBITE83QiZSUFPU/Y8MZVkErAeOA+dpd7DwtJwMGDEC4k5/xqlatmrJkMrae8c/R0dG49tprEc7kZ7xo+f3+++9x5swZZS3/4YcfzM9F4ngZk/m+ffvUmL3xxhsqP2PNmjVqm/PnzyurngGXZbyyHy8hshBZ5x0i6zxH5Jx3iJwLLTknyl0IcuWVV6JPnz4qzpcJ4swlYIwuwwNI06ZNUaRIEcTHxytXMJc3bNjgtA9aTWhNodUg3MnPeL3++utq23nz5ilLJiclJgOHM/kZr9tuu01Z5ZgcPHLkSPWQUKFCBUTqeMXFxalt7rjjDjVetF7yN7do0SK1nmNnfRjlcuHChRHO5Ge8hMhCZJ13iKzzHJFz3iFyLrTknCh3IUhUVBTuvPNOFeNNi2SdOnXQsGFDZWnLbntX+LkuXbqomPFwJz/jxVAMViuioCtatKjK2VixYgXCmfyMFyeqxx9/XH2OCdMlSpRA48aNEanjxZh5Jkkzpt7AulyrVi2VmG99EOXnw5n8jJcQWYis8w6RdZ4jcs47RM6FlpwT5S6ISU9PVyV3MzMzVQIml/k/QwEOHDig4nn5I3n33XeVBYDQ/bt06VJV1phlVxk6cO7cOWWFMuD+Zs+eHTbJ5b4cr0aNGqkfJuOj6U7nMi124YAvxuvo0aMqTIX7XL9+vQpFoGUzUseL1kmWymZFLI4ZPQhz5sxRD5uEoWK//PKL+jyraXE8wyV8zBfjxc9wP7z3rMtCaCOyzjtE1nmOyDnvEDkXHnLOpoVLs4kwhD0yXEvzjhkzRk0wDz30EI4fP45y5cqpScXohXH69GkVG753717lAq5fvz4efPBBZTEwoDXuiSeeUEnm3CZc8MV4Mbmc4SqrVq1Sr1u1aqXGjhWfQh1fjNfKlSvVPjixsXjB//73P3Tt2hXhQF7Gy3hQePHFF1W1Pua03HLLLSqB2oAPBt99950SDldddZUa33DwVvlivFjRj+EuVlq3bo3PP//cT1cl+AKRdd4hss5zRM55h8i58JBzotwJgiAIgiAIgiCEARKWKQiCIAiCIAiCEAaIcicIgiAIgiAIghAGiHInCIIgCIIgCIIQBohyJwiCIAiCIAiCEAaIcicIgiAIgiAIghAGiHInCIIgCIIgCIIQBohyJwiCIAiCIAiCEAaIcicIAYYNUdu2bav+2LxSEARBEMINkXWC4B9EuRMEP/L8888rwTZq1ChzXdGiRdG0aVP1FxsbG9DzEwRBEIT8IrJOEAJHTACPLQgCgIYNG+Krr74K9GkIgiAIgs8QWScI/sGmaZrmp2MJQkRzxRVX4PDhw1nWf/rpp7jrrrvU8owZM1C5cmVl9Zw5cyYqVaqEO++8E5988gmSkpJw5ZVX4t5778VHH32ktqUl9NZbb8XgwYPN/R0/fhwff/wxlixZgjNnzqBChQrq2LfccgtiYsSeIwiCIPgOkXWCEFjk7hcEP9GgQQOkpKQoIZSQkIBatWqp9Vu3bs32MydOnMDrr7+OsmXLIjk5GZMmTcLSpUtx7NgxJeyOHj2KN998E23atFH7474p2LjeOMbu3buVUD148CDGjBnjxysWBEEQIg2RdYIQWCTnThD8xFtvvYWuXbuawo/hKfxjqEp2XLx4EePGjcMvv/yirJJk//79SvBNmTIFcXFxyMzMxKpVq9R7kydPVsKuTJkymDZtmtrujTfeUO/ROsrPCoIgCIKvEFknCIFFPHeCEMQUL14cLVu2VMsVK1ZUwqxOnToqnIWUKlUKR44cwalTp9TrTZs2qf9PnjyJPn36OO2LEdgbN25EtWrV/H4dgiAIgpAdIusEoeAQ5U4QghiGmxhER0dnWWez2dT/rqmz1lAYK/Hx8T48W0EQBEHwHpF1glBwiHInCH7EEDipqak+2X/jxo2xaNEiJRxfffVV0+rJHIa5c+eiZ8+ePjmuIAiCIBiIrBOEwCHKnSD4kZo1a6r/N2/ejGHDhqFw4cK44447Cmz/Q4cOxfTp01US+rXXXqssmhR2DHFJT0/HwIEDC+xYgiAIguAOkXWCEDikoIog+BGWd7700ktV9a9du3apvAAmiRcUzEuYOHGiKgddokQJdYy0tDS0atUKDz/8cIEdRxAEQRCyQ2SdIAQO6XMnCIIgCIIgCIIQBojnThAEQRAEQRAEIQwQ5U4QBEEQBEEQBCEMEOVOEARBEARBEAQhDBDlThAEQRAEQRAEIQwQ5U4QBEEQBEEQBCEMEOVOEARBEARBEAQhDBDlThAEQRAEQRAEIQwQ5U4QBEEQBEEQBCEMEOVOEARBEARBEAQhDBDlThAEQRAEQRAEIQwQ5U4QBEEQBEEQBCEMEOVOEARBEARBEAQhDBDlThAEQRAEQRAEIQwQ5U4QBEEQBEEQBCEMEOVOEARBEARBEAQhDBDlThAEQRAEQRAEIQwQ5U4QBEEQBEEQBCEMEOVOCGtuueUW1KxZM9CnIQiCIAh+R2RgaDNv3jzYbDb1v7d89dVX6rP//fefT85NCF5EuROCCmMyWrlypdP6s2fPon379oiPj8fs2bMRTnDi5TW7++vYsSPCncWLF+P555/HmTNnAn0qgiAI+ZZfxl9MTAyqVKmiFKyDBw8i0uB1ZyfbglGOHzp0SMmitWvXZnstxYsXR0pKSpb3d+zYYV7bW2+95aczFgT3xGSzXhCChnPnzqFv375Yv349pk6dissuuwzhyPDhwzFgwACndeXKlUMkKHcvvPCCEp4lS5YM9OkIgiDkixdffBG1atVCamoqli5dqpS+hQsXYuPGjcpAGUnExcXhiy++yLK+RYsWCEbljrKIns6WLVtmeZ/K+vnz5/Hrr79i6NChTu99//336rvldy4IgUaUOyGoSUxMRL9+/ZQl7ZdffkH//v0RrrRu3Ro33HBDge+XwiY2NhZRUZHlqKcQLlKkSKBPQxCECINyqm3btmr59ttvR9myZfHGG29gxowZWZSCcIcKkS/kWiDmeCqqXbp0waRJk7J8j//3f/+Hyy+/HD///LPfzkcQsiOynvaEkCIpKUl56VavXq0mTE6cBtOnT1evK1eurCbcOnXq4KWXXkJGRoZHIZAMm/joo49Qu3ZtJRzoGdy/fz80TVP7qVq1KgoXLoxBgwbh1KlTTvvw9NiXXHIJmjZtis2bN6Nnz57qOAzRefPNN/M0Hrt378aQIUNQunRptS+GbM6aNcttfP4PP/yAZ555Rh2P29L7SZYtW6bGtESJEmp9jx49sGjRoizHYgjRyJEjzWukFfruu+/GhQsX1Psck0cffRTNmjVD0aJFVagKH2jWrVuXZV8ffvghmjRpoo5XqlQp9dBDQUgYAvPYY4+pZR7DCGux5gh89913aNOmjfo+eO3XXXed+q7cjfWqVavQvXt3daynnnoqT+MsCIJQkHTr1k39v2vXLvU/59HnnntOzWucixMSEtQ2c+fOzVZeff7550rWcD5u164dVqxYkeU406ZNU/MgPUj8n5Eu7khOTsYjjzyCatWqqf01aNBAHYPyzwqPfd9992HKlClo3LixmoM7deqEDRs2qPc/++wz1K1bVx2Pc3Bec7s+/vhjJSN4LpQ59957b5Yw/Zzm+LS0NIwZM0adC/fB6xo9erRab2XOnDno2rWrihCh3OJ1G/ug7OS4kltvvdWURfS6Wrn++uvx+++/O50fvwuGZfK9vMpucuDAAVx11VXqfihfvjweeuihLNdg4KksFyIT8dwJQQmFD5UFTpo//fQTBg4c6PQ+J1xOzg8//LD6/59//lHCkkrM2LFjc90/QygoYP/3v/8pRYUKFy1xl156qZrkH3/8cezcuVMpJlRiJkyYkKdjnz59Wk3A11xzjdo/r4X7plLk6oWkFfLEiRNO6zhxFypUCEePHkXnzp3VNvfffz/KlCmDr7/+GldeeaXa59VXX+30OSqb9Nbx3CkcuMzz5DH5QEFBSE/exIkT1TUvWLBA5TQaoSlcpvAaNWoUGjZsqJQ9HofH574orPggQYFFpYznR0FPAUNllgKajB8/Xp3v4MGD8cADDygvIsNrKZgoCDku27dvV5bQd999V1m4reGor7zyCp599lk1drSAHz9+XH0nFO5r1qxxCuM8efKkuj4qf7QUV6hQIdf7QBAEwdcYSg+NW4SygqGKDMW/4447VITKl19+qaJUli9fniUkkMYwbnPnnXcqhYPyinMn52HKB/Lnn3/i2muvVUrYa6+9puZDKik0VFqhAke5QUWSBjwe648//lBGNs7znIetUDbQ40iFi3DflMdUnqiU3XPPPUrO8Zxuu+02JWdccZVrPGfKNsPAx1DI3r17KwPitm3b8MknnyjZT2XFuL7s5vjMzEx1PQx7pbxq1KiRUj55HZQtlFNk06ZN6rybN2+uwmapBFLGGwoRP8f1lOXcj6GQU+5a4bjfddddKpKI12t8P5STjL5xxVPZzTy+Xr16Yd++fWo7ytBvv/3W7Xh6KsuFCEYThCBi4sSJNB1qNWrU0AoVKqRNmzbN7Xbnz5/Psu7OO+/UihQpoqWmpprrbr75ZrUvgz179qj9lytXTjtz5oy5/sknn1TrW7RooV28eNFcP3z4cC02NtZpn54eu0ePHmqf33zzjbkuLS1Nq1ixonbttddmOSd3f3PnzlXbPPjgg+r1ggULzM8lJiZqtWrV0mrWrKllZGSoddye29WuXdvpPDMzM7V69epp/fr1U8vWa+E++vTpY6676aabtKioKG3FihVZrtP4LK/TOKb1OuLi4rQXX3zRXDdo0CCtSZMmWk6MHTtWnTM/b+W///7ToqOjtVdeecVp/YYNG7SYmBin9cZYf/rppzkeSxAEwdfy66+//tKOHz+u7d+/X/vpp5+UvOHcyNckPT1dyQIrp0+f1ipUqKDddtttWWRDmTJltFOnTpnrp0+frtb/+uuv5rqWLVtqlSpVcpJrf/75pylPDShTue7ll192Ov7gwYM1m82m7dy501zH7Xje1rn5s88+U+spx86dO5dFhlq3pfx1J9c4X5Njx44p+dq3b18neTJu3Di13YQJE3Kd47/99lslr6yykXA7br9o0SL1+t1331Wv+b1kB2Uet+H36AqvJSEhwRyrXr16qWWeN8fihRdeML8vyjQDT2X3e++9p7abPHmyuV1ycrJWt25dp2cBb2S5cT+6ylYh/JGwTCEoobWLoR4Mr3AHw0MMaNGkZZCWNlrHtm7dmuv+6XEyLIekQ4cO6n9aA5kjYF1PD5+10pk3x6Znz5pvQK8XrWq0uLpCayHDRqx/RtL5b7/9pj7HkBLrvvkZWoXpLbNy8803O50ncxaNsBFaP3nO/KOHlNbCf//9V1lA+UdL5xVXXGHmjFih1ZjQ6mnk8DEclfs0wlwYRmtAzxpDTdyFEOUGLaM8H3rtjPPlX8WKFVGvXr0sIUw8J1qqBUEQAgm9UIw+oPxi1ALD7Oj9Mrxo0dHRShYQznGMHklPT1dzrnX+NBg2bJjp9SOGV8mQI4cPH1ZzPOd9q1zr06eP8uRZoSzh8ekdssIwTepzDDm0QvlgbaVgyEp6CYsVK5Zlvatsoxx3lWtvv/22eu+vv/5S8vXBBx90ygmnN5Oh/q6hi+7meIaM0utGz5lVTtCLRQw5YUR5MK2CY54fKEcZ4XPkyBHlReP/2YVkeiq7uV2lSpXU/WLAcEtuZ8VTWS5ENhKWKQQlDPFj2CNDGhlmQKXBCkMsmFPGidXIJ7O2TciN6tWrO702BKKrMmmsZ9hJXo5NYW4oRAYU0gxNdIUKCx8K3LF3715TeFqhUDPeZz6CAUMlrVAYEAr/7OC5U9Dymqz7cgeFx/vvv6/Ccvbs2eOUb8iwEwOGoFKAU7gxH4K5jRRKTErPDZ4zHzY4Lu6whusQ5hcaD0yCIAiBgvnc9evXV3MqQ/r5wE3FxApD86jk0CB48eLFbOdud/LKUPQMucT5n7ibK10NbtyWIX9WxcxVlhSUrCRUJHOSa8Y5WuE8znx413NxN8dTTmzZsiXbytLHjh0zFWSGwjK8/4knnlCKEEMsqUx5W2yMVa05fj/++KNStpirR/nmLufQU9nN/7kP1+cF17HxVJZbjQFC5CHKnRCU0NpISxYnYFofGRdvCBPmgjG3i5Y9xsgzyZzWQQowKhOeWK0ocLxZbySae3vs3PbnK6xeO2KcF3MC3ZV4NqyJrsVjsuPVV19VuXDMOWB+HxPFKSBpgbWOAQUYcyhmzpyp+hqxMA4VQuY1MM8iJ7gfCjpakt2NI883p2sWBEEIBDRmGZEPLJBBrw2NWpwLOW+xSBRbv/A95rqxeAbnOOazGUVXgkGO5HTsQJyTuzmecoI57O+8847bzxjPDfwslWx68ugRpDyickYPH/MVs7sed1BRp2JIBZ2eSuYN+gtPZbkQ2YhyJwS1gGSIICtTUsGjB4/WOYZDMByBYXssrGFAD5KvCdSxa9SooR4MXDHCQPl+TlAJJVRKs7OiEo4vt2E/ppxgIjgrgLIIgBUqv0ZRFAOGJNFqyj96BikUWSjlySefVIqxq6XSes58UKAlm1ZwQRCEUMNQ2jhfjhs3TnmNOH/SM0U5Yp3/WBwjLxjzv+HVseIqN7gtoymYUmD13nkqSwoS41g8R46HAeUEZWpOssoqJ1ilmYbg7GSJAQ2Q3I5/VAZppHz66aeVwsdj5fZ5K1TW6ZXlPlngJb+ym/9T7lLmWc/D9bOeynIhspGcOyGo4STMSoqsasUQTYYMGhY2q4WQwoAeIV8TqGMzDIRV1JYsWWKuY4w9y2MzH8I1r8IVVtWiUGC5a7aYcIVVKAkFFa3JbNK6cuXKLNsZ181xcLXQMvfBmptIqAhbYUgNz5WfNUKRqPwR19LXVAJ5HHr4XI/F1677FgRBCEZYxp/Gyvfee09VDHYnR1hB2Dq/ewNztejFoSfJmhrA/DbXfGzKEobRU9G0wuqSVCr82UuWygllwgcffOA0FjQa8jqs7Y+ygznZlDuszOwKK1BSThJ3USmG58toN5CdLHIHlXVGrXAcmQeeX9nN7Vipmoq/AfP4uV1eZLkQ2YjnTgh6WCqYEzdDAFk+mG0MGE/OmHMmhVMgsWSwP0JUWNI4EMemtZdKLgUvj8swSApyWjcZ6phbzgDfZ74BP89+QkxKZ/4ChSKtlrQCUqEjtGYyTIXhp0ZpaSbsU3ljuWkmprOkNMNSuR+OCUtP83uxWl8Jc+wo+Jhjx7LVzI2gMKTQNqzGFFaEFlRaQJlLx4IuFGAvv/yy8vAxl4FKJz/Da2b/Jp4bWz0IgiAEOwy/ZCEvttLh/EmvHWUb50LOaZ9++ql60Hf3wO4J9A5yXwwBpaykMmP0GLXuk3MrFRPOt5xXWbSL8z0LjTCs3vAM+QNGinB+pwGPxlvKd3qqaCxlHpsnzc9vvPFGTJ48WbUnoCyjrKHySs8Y17PNA0NkKa8YlskxopeMuXg8DvPijWInvHbKN34XlDVU9pgv5y4PkjKVufcFJbtZRIay8aabblK9/Kiw89nCtUm7N7JciGACXa5TEKwYpXvdleF/66231HsDBw7U5s+fr3Xs2FErXLiwVrlyZW306NHaH3/84VQyOKdWCNZSxdYWAlOmTMn1fFha2ZNjs3SzuzYAnp6TK7t27VIlmEuWLKnFx8dr7du312bOnOnRdRisWbNGu+aaa1RpbZa45nkMHTpU+/vvv52227t3r2qJYJTwZmuFe++91yzfzVYIjzzyiCq9zXHo0qWLtmTJEnXNRplro2x29+7dzePVqVNHe+yxx7SzZ886He+ll17SqlSpokpau5Zu/vnnn7WuXbuqMtT8a9iwoTqXbdu25TrWgiAIwSC/WPKe8x//2Arh1VdfVfMv58VWrVqpudwb2cD1Y8aMcVrHubJRo0Zqn40bN9Z++eWXLPs0SvE/9NBDSn6x5RBL6/MY1tL6xjE411rxRoZa2wfkBFsfcF7nubAdxN13361aQ1jJaY6/cOGC9sYbb6j3ee2lSpXS2rRpo9oTGLKGMo6teXjNbL/A/9nqaPv27U77YpsJjh3b7VjbInhyLdmNjSey25C7V155pWqrVLZsWe2BBx7QZs+eneXZwlNZLq0QIhcb/wm0gikIgiAIgiAIgiDkD8m5EwRBEARBEARBCANEuRMEQRAEQRAEQQgDRLkTBEEQBEEQBEEIA0S5EwRBEARBEARBiFTljmVcWU6WTZzZyJE9O1h6lSVju3XrZv4dOXLE/MymTZtUmXOWqWUJc5ZWFwRBEIRgROScIAiCEBF97tg3hM0Y2WSSfavYXJp9qYx+Ve6aObPJ8+jRo1UfD/bmYI+OZ599Vv0vCIIgCMGEyDlBEAQhIjx3bAw5YcIE1biRjYnZwLlevXqIjY3N8XNsyEjByCbEcXFxGDlypGpmzKaLgiAIghAsiJwTBEEQIka5O3bsGFJTU/HXX3+hb9++uOaaazB16lTz/Q0bNqBXr14YMmQIfvrpJ3P97t27lXA0iI+PR9WqVdV6d9ACmpSU5PTHdYIgCILgS0TOCYIgCBETlkmhRwG0b98+zJgxA/v378fdd9+NmjVronXr1vjxxx+VpXPz5s149NFHUapUKSUEU1JSkJCQ4LQvvj5//rzb40ycOBHjx493WkdBOnTo0LxcoyAIghCG1KpVq8D3KXJOEARBCGU555Vyx1ATwpwCWiVppaRlc9GiRbjvvvvM7Zo2baqSyufOnauEXuHChVUyuhW+LlKkiNvj3HrrrRgxYoTzicbE5BoWIwCZmZnqYaRatWqIipJiqLkh4+U5MlbeIeMVmuMlci74CZZ7JVSQ8fIOGS/vkPEKvvHySrmrUaOGyilgDoKBddkK12uappZr167tFL7CkJcDBw6o9e6gcBMBlz94w8iPzHNkvDxHxso7ZLxCa7xEzoUOgb5XQg0ZL++Q8fIOGa/gGS+v9krLJC2UrCDG3IA9e/Zgzpw5quzz4sWLcfr0abXd1q1bVegKS0gb1cXS0tIwffp09Tkmqzdq1AhVqlTxyUUJgiAIQl4QOScIgiCEMl6rjI8//jjOnDmD3r1744EHHsBdd92FVq1aYdmyZSpXoGvXrnjqqadw0003oV+/fuoztE6OHTsWkyZNQs+ePbFmzRq89NJLvrgeQRAEQcgXIucEQRCEUMWmGTElQtjE8u7du1eFFol7PHdkvDxHxso7ZLy8Q8ZL8BS5V7xDxss7ZLy8Q8Yr+MZLvgVBEARBEARBEIQwQJQ7QRAEQRAEQRCEMECUO0EQBEEQBEEQhDBAlDtBEARBEARBEIQwQJQ7QRAEQRAEQRCEMECUO0EQBEEQBEEQhDBAlDvBY7766iuULFky0KeBW265BVdddVWgT0MQBEEIQ0TWCYIQyohyJxQY//33H2w2G9auXRuU+xMEAZgyZQqeeeYZnD59OtCnIgghicg6QQhuDh8+jMcffxy///47IhFR7kKICxcuIBwIl+sQhFBj3759GD58OF555RXlEUhPTw/0KQlC2MqIcLkOQQg1xowZgzfffBOXX345/vjjD0QaotwFiMTERIwYMQIJCQmoVKkS3n33XVxyySV48MEHzW1q1qyJl156CTfddBOKFy+OUaNGqfU///wzmjRpgri4OLXN22+/7bTv2rVrY9q0aU7rGGLCUBOrlfCXX35Bz549UaRIEbRo0QJLlixx+gy3r169unr/6quvxsmTJ3O8plq1aqn/W7VqpfbP67GGlvCBsnLlymjQoIFaz21yOs/s9mfw1ltvqbErU6YM7r33Xly8eNGDkReEyGXdunXIyMhQy//++y+ee+65QJ+SEOb4UtZFR0eLrBMEIQurVq1S/2uahhtuuAEHDhxAJCHKXYB4+OGHsWjRIsyYMQNz5szBggULsHr16izbcVKnMFqzZg2effZZdcMOHToU1113HTZs2IDnn39erTeEhDc8/fTTePTRR1UoSP369ZVF37DkL1u2DCNHjsR9992n3qdgfPnll3Pc3/Lly9X/f/31l3KJU6Aa/P3339i2bZu61pkzZ3p0fjntb+7cudi1a5f6/+uvv1bXn5cxEIRIgr8ZK6+99hp+++23gJ2PEP6IrMsdkXWCUHBomuYk606cOKHmkUgyisQgDGnbti2OHDni9+NWrFgRK1eu9MiSyUn6//7v/9CrVy+1buLEicrS58qll16KRx55xHxNCyg/QyFHKKg2b96MsWPHKquhN1DY0WVNXnjhBWUh3blzJxo2bIj3338fl112GUaPHm0eZ/HixZg9e3a2+ytXrpz6n9ZFjoUVWm2/+OILxMbGenx+Oe2vVKlSGDdunLLc8nx5HRSqd9xxhxcjIAiRxe7du7Osu/HGG9VDbbVq1QJyTkLeiVRZRw+fN4isE4TI4fTp0zh79qzTOhqYmGv+xhtvIBIIS+WOwu7gwYMI5gcsWhDat29vritRooQZwuEqvK1s2bIFgwYNclrXpUsXvPfeeyrciiEdntK8eXNzmSEf5NixY0qA8DgMT7HSqVOnHAVeTjRr1swrYZcbFM4Udtbzp3VXEITssVozu3Xrprwop06dUh6S+fPnF+hvVPA9kSzrvEFknSBEppzr0KGDihTgPMQcvK5du+KKK65AuBOWyp2r5SuUj0sroLdQwaNb2oo7d3ShQoWcPkMyMzPhC9xdh6fn6Q7ruRv78tW5C0K4ee7i4+NVDlCbNm1UXtLSpUvx2OPPYNhtb6BZHaBYEc+NRELgEFknsk4QhOwjVK6++moVhm3k+N58881K2WMObzgTlsqdJ+EigYQFTzhhr1ixQiVxE7qQt2/fju7du+f42UaNGin3shW+ZigJrXuc9EuXLu0UqrNjxw6cP3/eq3PkcZiLYIUPgDlhWCs9taoyFIX5Bdmdp7f7EwQhezg37Nmzx5yDOE+wLULnHlfjYtlb8MGSu/HBKg3NagNrJwBRUaLgBTuRLOs8kSGeILJOEMLXc1e7dm0MHjxYFRBjLitDNhmpsnDhwrCOVAlL5S7YKVasmLIePPbYY+oBq3z58qpsa1RUVK5hlcxJaNeunaosNmzYMFX1i/H4H3/8sVNIyUcffYTOnTsrYcFeH67Wv9y4//77VQgMk9wZGsNSsrmFqfA6ChcurLarWrWq8g4wBCc7mGPBc+f5ujtPb/cnCEL2HDp0CGlpaWq5Tp06WLNdw7g/W0NrtxvIdIR9bdgN7D0C1MqaFiUIQSXrWPwkJxniCSLrBCF8PXd16tRRc82ECRNUbjnfo7GJcxLzbcOVPFXLZII0k3ppebv++uuRnJys1rOCU+/evdVExkGzhiFs2rRJVavhJMoyx1YrViTyzjvvqIl+4MCBasw4LrQgclLPidatW2Py5Mn44Ycf0LRpU1XK/MUXX3QqpsLKYBQQzKnh98NkcpZ49oaOHTti/Pjx6ntkBbM///xTJaPmRExMDD744AN89tlnKmHeNV/CFZa1ZhGH7M7T2/0JguCBNbPEJVid/jZa367h69lAukWxM1jvXFQzIhE5F/yyjgpZTjLEE0TWCUJ4e+4IjSWMVDG8dfy9sTpt2KJ5yY8//qjdeeed2uHDh7XMzExt+/btWlpamrZgwQJtwIAB2v79+7Xjx49rQ4cO1aZOnao+w/f5Hl+npqZq48aN00aOHOntocOapKQkrUSJEtoXX3yRr/1kZGRou3fvVv8LuSPj5TkyVqE9XhMmTNBQqIKGrmkaumWYfyX7Z2j3v5uilW72srnuiY8TI3q8RM4Ft6wLpnslFJDx8g4Zr9Aer+rVq9PippUuXTrLex9++KF6j3/33ntv2I6XV547hhPQtUmrFhOq6eqsV6+e0oTZK4mJi/QYlS1bVjUNNPonsV8NQxDY3JPNSNlThhWqgrnKl69hL59JkyYpCwOTO1n2mYjFThAEn1kzi7YGbHo0fp0qwCeP2HDgZxvefzAevVpfMLdduUUP34xERM4VLCLrBEHwF0w92L9/v5PXzsq1115rLrOYWLjiVc4dSwenpqYqVyb71hQtWlT1SKKwY6J+v379zG3r1q1rukYZ40rhaMBwDApHrq9SpUqW41y4cEH9OZ1oTExYJT+yuAFDStjslNfFEBSWImdeQn4qYRmflWpaniHj5TkyVqE9Xmo+LlzXfP3UDcAt/fWQwsxMDU3rxGPKzjQgKg5b9urFmYJ9vJi7VdCInAt+WRdsv61gR8bLO2S8Qne8OEdr9lB5Kneu58TiRpyHOPfu3bs3IOfs7XjlRc55rdwlJSVh3759mDFjhtKO7777blVSlJWfrCWAuZySkqKW+b9reWC+zq6qFZucMgbeypAhQ1SFm3CBgu2nn37Ksp43W0FgWC4Ez5Dx8hwZq9AcL3qRULiz+bpYzBHs3evw0BUvVhg4vwUo2hKHTidg+869iPOuNoXfx6tWrVoFfnyRc6Ej64LltxUqyHh5h4xX6I0XCy8ZlClTxu08w7xWeu2oCPJ/b/pDB2K88iLnvFLuGGpC7rjjDmWVpJWyb9++qjwxk4ONhHPCZVZ/Ivzf+p7xfnaJz7feeqsZuhHOFk1fQEsAbxgmb/vCqh1uyHh5joxVaI+XCg+s6PAsdWtbEeVLuTSR/mSjUu40ROO8VgP1a0TeeImcC36C5V4JFWS8vEPGK3THyzoHt2rVCjVqZBVijLigUsdtixcvrgxQ4TZeXil3HCTmFFi1XGOZmuXOnTvRo0cP9ZqhKixBarhGrZY7hrwcOHDAbTwsoXATAZc/eMME+kcWSsh4eY6MVeiN17lz53DixAmglq7cFU8AKpS2Oc3lyjp4frr5etN/NrRuYIu48RI5FzoE+l4JNWS8vEPGK/TGy9oGoW7dum7Px9rAnBEazJ8Ot/Hyaq+0TPbq1QtffvmlilelS3POnDmqtPGAAQNUg0AKs5MnT+L7779X60ibNm1UkuP06dPV55iszlLI7vIQBEEQBB8IPFssEKc3kq5fzaGwGFSqVAnRqZvN1xt2O0r8RxIi5wRBEMKjx507rMpduBZV8bqJOZtvstcM+9WULFkSd911l3J9EnaBZ8NSuhxZMcyohkXr5NixY1Uz0jfffBONGzdWy4IgCILvUUU/4msDNr2nXb2qWbehBbFqqTMwMhQiudedyDlBEITQwyhwVahQoWwNa9ZQzYKqcxHyyl2xYsWUAMsuh4B/7mjSpIlqRioIgiAEwJpZ2JFv5065I3WqFcbe86eAQqWxficreUVmSJLIOUEQhNCCVTINz12tWrUQHa0bMyPRcxeZklsQBCGCcG2DUK+q+1y6WrVqAuc3qOXDp6Jw6lxkhmYKgiAIocXRo0fN6sS1s8l1JqLcCUHNV199pUKGBEEQCsJzp8JVkjearzc40hcEIeRgXum0adMCfRoRh7fjfsstt6gQZ0Hwdb6dkV/OysThHJYpyl0AcTehsdoay2+//fbbCCWef/55NaG7/rERcKgyb948dQ1nzpwJ9KkIgl+UO2XRtCp3EZx3JxScnDPkAfNgGC41evRoVU00XHAn+7p27Rp0ChYNwlzPQj+uTJkyRb1n9WoIQqgqd7Vz8NwxXLN69eph7bnzOudO8B1ffPEF7r33Xnz66afZ5nQEM8w3cVXm8to/hNXmwqVMOOPAMzIyTEuRIPiT9PR03TrZWlfuShfnny0H5e4Tl4qZgWnwKoQPl112mWrafvHiRaxatUoVpKEi8cYbbyBc4PXxOg3yI784TlSEfUFCQgKOHTummj136tTJXM/qsMYDryCEcjGV3Dx3hqyjMnj27FllwA+3KDjx3AUJrK72v//9TyXjG4rdO++8g2bNmqnJmM0O77nnHiQlJeXoPWvdujUmT56sbtyiRYuqz1Cx4P4rVqyI8uXL45VXXnH6XG7HMcI///jjD2Xx434pxA4fPuy0HyovPIb1zxBwGzZswKWXXqrKjJcpUwajRo1yOobhxeS5Va5cGQ0aNFDr2ehx6NCh6vhUFFmZztXSwpLjVCzZfJju9vvuu8/ja+ND7+23367OidtwP7/99ps6Rs+ePdU2pUqVUg8iPEfCKnmvvfaaskDzelq0aOHU38rw+P3++++qPDrPa+HChR7eCYJQsPA3lJ5ZCIirlqPXzgzLPC9hmULBwjmQ8oBzMOd5ViFlewnClhLDhw9Xle3Y8J3z9aRJk5w+f8kll+D+++9XHj/KAcqI9957z2mbHTt2oHv37iryhZVKjf1b8VQOvfrqq6hQoYKSO6yaSgPJY489po5dtWpVpci5wm2tss8wbFJecB/8HMehZcuWmD17tvk5yhrKix9//FH1T+T5s8WGYfClzOW6hg0b4uOPP3YygFLWUebxff52KZeI4X27+uqr1b6tXgzK6euvv17JTQO29qDc4npXPvnkE/WgTFlOufztt996Pe6eyHFB8JfnLhIqZopyFyRlt1kye+bMmWoytpYm/+CDD7Bp0yZ8/fXX+Oeff5Rwy81yMX/+fKWgUEDSGnf55ZeryZvraSl95plnsGzZMq+OwyTVt956S03s//77r2r8+Oijj3p0fcnJyejXr59SklasWKHCP+jhsyph5O+//8a2bduUcOBY0HrJz7Fy3YIFC7Bo0SJTsaRgMwQPvZ0U0hTcM2bMUI0rPb02ngP3RcHGz3N8eAw+hPz8889qG54TFdn3339fvaYA/eabb5SHlft96KGHcMMNN6jxtfLEE0/g9ddfx5YtW9C8eXOPxkoQfNMGwWHFZI+77OBDc4wtBUjdYyp3mZlSVEUoODZu3IjFixebhj+GZ9IINmvWLPUe5/Ibb7wRy5cvd/oc528a4Ci7OK9++OGHpiJBBeqaa65R++T7nJspV/MihygjDh06pOQcjYNjxozBwIED1ee4b7bFuPPOO9kmBmAAALSbSURBVJVM9QTKDaZZUH6uX79encOVV16plCJXefHAAw8oecFtqOA999xzyuDJdVQ4n332WTUOhHKN8o7GXMoobm8odbw+QiWUsssq78ltt92mPmcUn6ABl3KVCq2VqVOnqnN65JFH1HfD66bxee7cuR6PuydyXBAK2nNXOxflLuyLqmhhSJvbM7Qq1/j/j8f1hptvvlmLjY3lk5P2999/57r9lClTtDJlypivJ06cqJUoUcJ8PWbMGK1IkSLa+vXrtYwM/Vz69eun1axZ03xNGjRooL322mteHYfnuHPnTnPdRx99pFWoUMHp2FFRUVpCQoL5165dO/Xe559/rpUqVUpLSkoyt581a5ba/siRI+ZYcH9paWnmNt9++60618zMTHMd3y9cuLD2xx9/qNeVK1fWnn766VzHLrtra9asmfbAAw84jY/B3Llz1XWfPn3aXJeamqrGePHixU7bjhw5Uhs+fLjT56ZNm6aFExyj3bt3ux0rIXjH67PPPtNQ5moN3TLU34tfOX5P7qhVq5aGxtPM7XcfzHn7cBuvUCIUZB3n9ujoaCUT4uLi1NzIuf+nn37K9jOXX3659sgjj5ive/TooXXt2tV8zXukefPm2ujRo9VryoOYmBjt4MGD5ja///67OtbUqVO9kkM1atTIIi+7detmvk5PT1fXMmnSJHMdjxMfH+8k/4zjUka98sorTtdH2XjPPfeo5T179qjPv/fee07b1KlTR/u///s/p3UvvfSS1qlTJ7X8v//9T7v00kud5KMV67Ubv60vv/zSfGZo2bKl9vXXX6vP81jTp0/X3n33XXX9Bp07d9buuOMOp/0OGTJEGzBggMfj7okc57gPGjRICxZkLgrN8apUqZK69ypYnk2zg/c+t+Xf+++/r4XbeIVlEtCRU8DB4wgJ6NE5ceKEsg62b99eWbQMaFWkl2jr1q04d+6cCg2hlZPWNoavuMMIxzSgJY7Jo/RgWdcx5t6b4/B/awwzQ0Gs+yAM2aAl0YAhKIRWR4Yu0upq0KVLF2X1o8XRsBYyHMeap7Bu3Trs3LlTWfys8NxooeHxaWHt1atXtuOb27XRakvPHy2dDBW69tprc/Sy8Xz42T59+jitpwXSaHJs0LZt22z3IwiBa4OAXMNV9uzZAJS5wvTe1ars67MUwlnWMcSdURb0nr377rsqNJBzLWHaAL1S9CQdPHhQzaVpaWlZZJzrvMwUA0MGUcYw2oKeZwNrPpk3coih+a7ysmnTpuZrylOGdLrKP14XZYhVRlLmUEbxOFb4mvItO3nBceLvduTIkbjjjjvM9ZRfJUqUMENIKYcod+kFo3exb9++8BR67+jZY54djzdgwACMGzcuy5jRk+p67kYUiyfjnpscF4SCgM9lRqpQnVzy7VzDMsPRcxeWyl3F0qFzXOYZMF+Lwo8TNPO0OAnyZuNkfffdd6uwDMapM2+Lkz2FX3bKnWsStlGhzHUdBRrx9Dju9qEbBx1QMbOGRHqLVegS5kIwXMfIP7BSrlw5JwHsDk+ujfl2FOYUQIYiyBAa5j+6w8jPYAgRvzsrhjKb3fUIQuAqZfb1WLlT4SqbnPPurgxs4T8hxGUd50JDNjDXi0oWUwY4F7NZPJUF5tAZ+dEPPvhglpC9nORYQeKtDDVgnp2r/KNy5ylWeWHImfHjx6NDhw5O2xmNmZlfv2fPHvXMQNnFnDYql9b875wYMWKESlFgrj7DYH1V8Cs3OS4IBQF/C56GZEZCWGZYKncrx4dWKiEtCMzXMhQ8JluzohiFBxUNQ4mhZbOg8cdxmBDOmH5aBw0Bxrh7Hs8onOIOCi8mmdNCW7x48Wx/oMzVM4qf5OXaaHWktZHFVp588kklUKncGV5EWpYNmDBOJY45h0x+F4TQ8Nzl3gbBudfdFPO1VMwMXkJN1hHOxU899RQefvhhVcCDsoAFNpi3TDhnb9++Xc213sgYFu2g5Z4eM7J06dICkUP5gXKL8oXHscoLvmakTnbQW8jP0TBDJSyn/Q8bNkz9DR48WD0/nDp1ShkyqZBaZZcr3Ia5f5SJzJVzB8eM58rqptZzN74bT8bdEzkuCP6slElonKehhL8RKagi+AyGNrCoB0M9mHxMCyATkZk0zgmehUyym4Dzgz+OQ+HESloUEEzKZjI2lSdaC10TuF0/V7ZsWSX4mYhNywzHiFXTjGR2Wh2pvDG5nAnqq1evVtfi6bWxGAoT57lvfpbnZvQA4kMuLbQs7nL8+HFlgaRXlYVk+DkmtnNCMY5pJLoLQrBA77pVuStfCiieYMvdopmyHcjUPSdSMVMoaIYMGaIerD766CPUq1dPFUZhkRWG+bFox9GjR73aHz1W9evXVzKGURiUF08//XSByKH8wiqbLNRFBYfhnyycsnbtWlWoJCdeeOEFFUlC2UZllwW/GEbJIi+E/7NoGlMO+D4LxNB7aJR0NwyfR44cwenTp90eg8ou00JYiTO7c+c2DKmlfOUxf/nlF7OYmqfjnpscFwR/Vsok9FSzgm24eu5EuQsieKNx0uNky4pcVFwoFBjvz5AGo8xxQcLwGE7YvjwOwx/ZRoEWxXbt2ikLI/PkXOP73X2OihdzAliRi0oXw3gYq29YAClUGM7DEtEMr2QYplGFzJNro9WG+Y78LK2eFFRGuWladihgKYwp/I2qaqxsyqpl3BfPiZ9jmCZbIwhCMMHf3LnkTCC2kkdeO1O509KB81vU6237gbQLUjFTKDj4YMX5lC16WImR3h0aNdnygAoK2xF4A71vrOyYkpKiPGIMt3dt+ZNXOZRfqMTQS8nrZNgpI3OYm06lNid4DWyFQIWOn6Pnj4qWIWdoaOT4MVeP18MHVFbJNqJUaPSk0kzDMcMi3WG0hMgOfg8MmWWlT8rIzz77TJ0Pvydvxj03OS4I/vbcWUMzOSckJiYinLCxqkqgT0IoOBjSQhczvU655aQJMl7eIGMVeuPFQkHte44CWq9Sr28dAEx4IudzoWVdWT7rfw1U0EPl1nxpQ8t6trAfLyE0kHvFO2S8vEPGK/TGiy2/aNwghw4dMsOEc4LOAba1IvSMWwsnhfp4yV0rCIIQMfl2No8iCJTAOb/BXCehmYIgCEKwe+7oja5YsaJHnwnnoiqi3AmCELaweEIko1fK9LwNAmEhBpWLkGytmCkBHoIgCMEIW2SwfUikQk+YUS2TUSc2m81r5S7ciqqIcicIQtjBMurM62BOh5ErGbmeu/peKXeOipniuRMEQQhm2N6JSgq9VUa9gUjD6I/pTb5duPe6E+VOEISwglVNWeJ7wm8xyGyzHZ/MiFOWzUjE1XNX17k1Y84WzQsHgYt6lT1R7gRBEIKLX3/9VTWyp3Jz5swZVT01EvG2UqaBhGVaGDVqFDp37oxu3bqpP1aCMm4yNts01vOPJXgNNm3ahOuuuw5dunRR+zA6yQuCIBQUrDTLCnh/rCoO1PsEiK+FzGrP48CBQ4j0nLvKZYGEwjbvLJr2vLuDx4HTiZETmilyThCEYIZVS6+++mpVdTRcFRRfVsokTD8wQjjDLSwzT03Mn3nmGQwYMCDLepbbNcrIW6G7dPTo0bjjjjvQv39/Vd6XpeT5vyAIQkHAyZnl1LcdKgE0m+h4IzoBK9dvQs2a1RFJMAdj/+FEoGY5r0IynSyazLsr0V0tbtgFdG+JiEHknCAIwQYL3LO905NPPpnlvUhV7vLquYuNjVUtr9hvMdzGzi9hmatWrVJJ+uyZEhcXp3Jh2KyUrmRBEIT8wqbE9LRs+y8VaDwNiC7s9P7KTWcQaShhFe9dMZWsyp3k3XmKyDlBEHxdOIQ9E62K3QMPPGA2rjeKikQaefXcWWXd8ePHcf78eUS0546NofnHhs8PPfSQ2YyTfSIYElW6dGkMGzZMNQk1tGprw874+HjlDuV6as3uLKBGcqR5ojExSssWcv/xW/8XckbGK/THignlgwYNwpnEDKDFAiC2glofXygdqRf1KW7T7jS/n3egx2vnzp0ubRA8Pxc2PnZV7tbt0pCZqQXVePmyp5LIueAl0L+tUEPGK/THi3PFbbfd5pRX9+qrr6poATaJX7NmDfbv36+24zwSSeNleO4YYlm9enWvzoPbG1A5btSoEYJtvPIi57y+A5h7QLcnD/bjjz+q1z/99BNat26tXrNiz+bNm/Hoo4+iVKlSSgimpKQgISHBaT98nZ2WzFji8ePHO60bMmQIhg4d6u3pRiz8kQueI+MVmmPFHDuGziUnpwJNZgAJzdT6mhUuYljHTXhjuh5HuH2/3jQ0ksZr5cqVTspdidhj2Ls3xaPPUuhQUGrnHe0QVm1Jxd69RxFM41WrVi2fnIPIudAgmOaiUEDGK3THi6GYhmLHeYmKHeeKffv2oVw5PfQ+IyMDy5cvd2tMCufxMqqEcl625kB7AudvA45dkSJFEGzjlRc557VyZ+3gzu7uM2bMUJbMjh07Om3DpPK5c+cqocemgq79pvg6u0G89dZbMWLECOcTFYumxw9lvGFoefelVTtckPEK7bFavHixPrfUeR8ofZlaV6oYMPvtQkg9XwdvTNe3O3W+pFPZ40gYL1ZPQ+E25uvOrcrDmyGoXLmyCimMurgfmYWqYceheFSvXgMethAKufGyInIuuAmmeyUUkPEK/fHiPGPMEVOmTFEVoQ0aN26MP//8Uy3TcxdJsu7s2bM4fVqv6swoC2+vvXnz5uYyDXT+GDt/jFe+fbfZnZiy+mp6CA8toLR6GrC6DxMYs0t8pHATAZf/7yVYJqVQQMYrNMdq+/btQOV7gcp6L7tCMcDUV2xoUN2G9PTigHYBsBXC2QvlAnbOgRovlX9ReJhattk01KvK8/BcM6OQo3KXeW4dUKYaEs8D+4/ZULOSj7S7ILy/DETOBSfBeK8EMzJeoTleVNiMvLImTZqovF4r1jmGnrxIknXWiBzm23l7/FoWr5i/x86X4+XVXhMTE7F06VJ1o128eBHff/89zp07pyyYtKAb2vPWrVtV6Er37t3N6mKs3DZ9+nT12QkTJqi41kC5jgVBCA9WbToF1H7XfP35Yzb0aKkrHzExNsRpeguEi9HVcfFiZPW628mHgXg9LLNaeSA+zjulLFKLqoicEwQhmGBOGUMuScOGDSOqX5s3xVSsSm5KmoYvZmoYMyET/3svEyNezET/xzLR4c5M1B2eifajMrF1rxa2Y+eV546NgD/66COlKdM1TBfo+++/j6JFi2LZsmUYM2aMcmuWL18eN910kypLTmidHDt2LF566SW8+eabyoXMZUEQhPywfm8poHC0Wr57UCZu6e88pZWMP4mjF2oA0UWxdtMBtGsZGe0Q6E3avfcs0FLPJ6hX1Xtvm6PXnSPvbuMe4IouCGtEzgmCEExs27bNXG7QoEGW98NVQfG2DYJRKVPTNFz/ooZpC7L/HFXC4S9qmP+evXhYmPW6i/E28fDbb791+x6rifEvO+hK/uGHH7w/Q0EQhGzi1g+dKwfYux5ce4mu5FmpXOo8jtprgCxZezxilLujR48iBVXy1AYhywPD+S3muu37GYLo27DMQCNyThCEYIJRAga5ee4irR2CO8/dZzOQrWLHnPGYaICBPGt3AO9MiUWlSpVw+PDhsFKMAx9MLAiCkAeYz5QR5yhb3NxNe5valRyl+9dvdy52EfbWTKc2CN4rZOYDQ8pOc92OAwVzfoIgCELBeO6KFSuGMmXKqOVwUlDy0sB8838aHh7nkPvjHrRh2ac27Jxkw6lZNqTPtWHpJzZE223Br3wLlKvZWy2z0iZzpcMBUe4EQQhJtmzZCiTola4SCp1DuZJZFZgmdeLNZbZDiChrpkW5q++IPPE+LDMzGYWj9Dyz7cFTGVwQBCHiPHcME8/JGEejJ3OFI81zV7x4cRQtVlqFY6ak6e/dcxVw7zU2tG9sQ50qNpQqZlNFxVo3sOGpG/Rt0jOAffEvqMJrRlGVcECUO0EIAbbt0/D6dxouH52JT6b5rpF0KLFi3X6gUFm1XLNcottt2jZ19LDZfyJyKhOybL9rA3NvsTZ3LZShW4OPnwHOJsn9JwiC4A+YP2Yod1WrVlW5vzkpd0aZ/UggKSnJDEOl0vvUeGCdPdCkcU3grXuzj1h55iabGe1zJr0GUO2psPJ8inInCEFIZqaG5Zs1PPV5JhrdkImGN2h48nMNvy0F7ntPw/Ez8oC9bKOjIXfzOu4n8c6tKwOaXmXsRHJJRApr1qwBCtdVy1E2DbUqeb8P9m1jU1iSnujIu5PQTEEQBP9w4sQJs0Kvu3w7dyX9w0VByY1169aZrWjK1huBdyfr6+NigUljbCicQ4Xo2EI2fPWkTeXfKao/BSS0CpuiKqLcCUKQ8c6PGqoP0dDhLg2vfQdsdYkSyMwEljgKGEYsW/frYRSka6vibrcpU6oooi4eVMvJmZVNQRDO8BpXU7mzt0FgXzoKsrxghGaeP7nOXCehmYIgCMGRbxfJFTOVEZMUKofFJ243179xJ71yucu8VvVtePpG+wtbDNBgAnbtDg8BJ8qdIAQROw9oeOQjDQePO1d36tYcuFGvuK5Yujn8lZTcOHhGTyAnXVoWy3a7hOjD6n8tqjiOnAj/XATmXJw6FwPEFMtzSGbWoio7zHXiuRMEQQiOSpmRXDHTVO7qfYFzqUXU4mUdgPsHe76Pp260oWFVexGVhOaYuaElwgFR7gQhiPjX4SBBh8bA+NE2HJlmw7/jovD6nQ5L1JJNiGjYaDolSg87tGnpaGSv/eGOckXPmctL1tr7IoR9SGb+8u1yVu7EsCAIghBMnrtIDMtUsq7SXUCZgep1+VJQoZY2WsQ9hFEtE5+KAjJ1w++mswOxalvoyzhR7gQhiFi4wTGpvHWPDbcPtKF8KX2iqlzWhmrl9fdWbGWz5dCfgPLKxs07gMJ6G4SScUdyDDusVu6Cubxy0xmEO6tXrwYKN8hXG4QsFTNTdsEG/X4Tz50gCEJwee7MuTpClLsLFy5gw8ZNQPUx5rqJT9hQobT38q5j03gknHpPf2GLwV1vh/6zlSh3ghBELNqg/x9bCGjrxkjXqYn+f3IKsDEyIi/cMm/ZESBKz7mrWc7hmXNHg+qO5uabd9trJIe7NbN4hxz7/3ntudPSUDzujJlzFwm5i4IgCMHiuStSpAiqVKmS7XYJCQkoV65cxCh3mzZtQnqh+kCsbvG+vBMwoFPeDZmNik0Hzm9Wyyu3AifPhraME+VOEIKEY6c1s1gFFbt4N5WeOjaR0EyyfFPulTINWjZ05OPtPhQVIcpdF7XMSmDtHX3evcZqDS5s0wvTnEmi4Mv/eQqCIAg5e6eMJt0MyYyKyll+GaGZBw8eRFpaWvjLuZI9zNe92uRdsSO1alQFzvwDgw2O3ughSfg/6QhCiLDYUgGzSzP32xieO7J0U2hblvLDln0xuVbKNOjQQrdmksNnEhDOnDx5EvuPpABF9PCdNg2AIvEFEJZJUuwNhCQ0UxAEwS8NujMyMnLNt3ONtGBkRbj3ulPKXQmHcndJPuug1OTYJdtDpwCs13ujhyyi3AlCkLBwvUNZ69rM/QN5q3p6yGake+4OntWbl5M+nfVebNnRsF51IE33Op1Nc1TYDHevHWGV1fxgDfVJPb3eXC/tEARBEPxXTCWnfLtIbIeg2v2U6K6Wiydo+Uo/cCh3Dhm3fldoG89FuROEIGGRxXPXuan7beJibWhd3+E9CfW48LyQmZmJpEw9/CQ68zSqV3R48dzBXIVCGXqzwIu20jiXrIV3MRWLcpedkSAv3ruzR1aa66RipiAIgv+KqXjjuQv3dgj0Zq7Zmqr625EeLWyIjrblX84lbwK0TPVawjIFQcg3KWkaVtmNdA2qA2VLZj9ROYVm6vm/EcWajQeBWN1bVyr2gEdlj0vGnTCXt/znqJ4Z7p67ztmE93qDGepzfru5TsIyBUEQgqMNQqS1Q9i5cydSYtubry9pZSsYOZeZDKTqWh0L1mVkhK4RU5Q7QQgCVmwBLqbry11zeSDv2NgW0Xl3cxYfMZdrlPOsskfFksnm8rJ1JxGurFqzBSjaRi03qK6hXA5GAk8xrcGpexAVpd9v20W5EwRB8Jvnrn59e8hODkRKWKaeb3eJ+bpHAfQdr2Hkl9vz7s6nsgAbQhZR7gQhCFjoyONFl1xC6ayeu0jMu1u20VIps7Znn6ldSQ+1IGu3JSEcSUpKwo6jpcwWEd2a51+xcxJ6WjrKJiSanjtphyAIguAbOL8anrtq1aqp/OfciJRed6tXO/LtisReRMu6+d9n0aJFUaZMGae8u1AOzRTlThCCgEWW5uXZee4YZ/7nn38iJvMoKtvriSzbHNqhA/mvlFnCo880qRNvLm/fp1cfCzfWr18PFOtcoPl2pHZthwadEHXI7LN4JHwdoIIgBJC9e/di/vz5Kr86Ujl+/DhOnz7tcTEVUrhwYVSsWDHsc+4Wrj5p9rfr1CQj3/l2TrLOqWKmFjnK3ahRo9C5c2d069ZN/d1///3me1999RV69+6NSy+9FO+//76TZZcNB6+77jp06dJF7ePw4cMFdxWCEMJkZmpmG4RyJYG6VbNuk56ejquvvhr9+vVDt25d0aGR/ttKSgE2h6+Bzi0Hz9grXmoZ6NvVzWC5oU3jUuby/uOxCN9iKl3N113zWSnToEMHR0P05JNrzeVwDs0UOScIgeHff/9V+WWXXHIJvvnmG0Qq3ubbuYZmcu5JTU1FuMH5dv3ekubrfh0dhtv80qlTp7Bph5Anz90zzzyDBQsWqL8PPvhArVu4cCGmTJmiBN/kyZOxePFiTJ8+3WzEOHr0aCX0/vnnH7Ro0QLPPvtswV6JIIQoVM7YGNrw2rkWCOFk9sADD+DXX381e9/Ur3gyIkMz09M1JGnV1XL0hV2oWtmz1gZNGlYFLhxTy8eTPfP2hRqrVq8FindSy2WKXUDtygWzX4aqNGumu5OP710cMUVVRM4Jgv8VmquuuspswD1nzhxEKtZ8O089d655d/v26VWiw4kDBw4gOaat+fqSlgXjtSM9evTQC6pk6Dn66yUsE/jtt9+UZ6Fq1aooW7YsbrjhBrWOrFq1CoUKFVI/2ri4OIwcORJbtmzBwYN67ylBiGRyy7d799138fHHHzutq5iw11xeujl0Qwe8Zc22ZMAWp5ZLxnquXahchFS9CXdKRmmcTw2/MVuyPgmI0Ru6d28R7VEVUU+hFT1Lxcz94TeGuSFyThB8F4Y4YMAAMxTRCM+MVPLruQvX0Exrvl1sdKrq/VtQdO/O/WYCyXooFQuqJJ0PTTmXc4OobHjnnXfUH6v3PPTQQ6hXr566iRgyZlC3bl3lYSC7d+9W2xjEx8cr4cj1VapUybJ/WkD553SiMTGIjQ3PcKqCxIhRj+RY9VAbr4WO/F10bqqpME2DX375BY8++miWz8Re2IiY6DZIzwCWbPTP+QfDWP2xkGFuerfSGmXPenwunDsK4xCMUiw7D2hoWlsLm/HifLnjaHnAXgm7e8voAj0uhd6HH34IpDiUu237C/ba8jJeUVG+SxsXORe8BMNcFEoE+3ilpKTgyiuvVL8VK/Q8BeKcg2G8aBgy4Bzk6blYi6pwPMPt2WDOwr1A7EC13KTqaURFxTs9M+WH0qVLqyiVDQzNLN4BjLjfsFtDh8ZaQMcrL3LOa+WOuQdMOuTBfvzxR/X6p59+wvnz552q+XCZP1jC/10r/fA1P+OOiRMnYvz48U7rhgwZgqFDh3p7uhHL/v37A30KIUUgx2v+Gj74xSCuUCZKx+2HYaxcu3at8gwYOT3t27fH8uXL1fLWzWvQuPp1WL8nDlv3Aes370eJhMywH6t5K06Zyl2t8kleWXZLxp80lbv5Kw6iWLS990QYjNfmzZuRWVQPySR1yh3G3r0F18/P7J+Uth827QI0Wyy27LmAvXsPB3S8rH2dChKRc6GByLnQHy8+4N53331YunSpes2CIDRwULGj15s9zegRj7TxYv4uKVKkiMq591TWcXtrkS1/ej/9MV7/rHIURGtXP6XAr69169bYMMcRTjVvxUlUTEgK6HjlRc55rdw1bdrUXL755psxY8YMbNiwQd1QycmOXlJcZuUewv+t7xnvW29CK7feeitGjBjhfKJi0fR4ouQNw9K5vrRqhwuBHq+Dx4ED9v7aHRpHoV6dGqbF7c477zRzD2688UblPeDEQ86ePYsereOw3h51cSixGpo3Du+xIntP6ONB+nWt5GSlzI0aFdJx2B7xs/94IdSokdWbEqrj9ddffwPFdY9SXPQF9OtSCTF5istwD8dZWTQ3bICWshMo0hh7j8WiWrUaKKhLC4b7y0DkXHATTPdKKBDM4/X4449j9uzZZjl6hjm/+OKLpteOvwlv5vlwGC/KfeaWGfl21lBLTz5rwBBXf4ydP8dr75maQFF9+earaqJGjYI93sCBA/H1tHHm60Nny6BGDc9y+4NpvPIt/o0To2ZJC4tKSLQXfahTR7ew0wJKq6cBK/jwxrWW2LZC4SYCLv/fS7BN4sFMoMZriWpCrpnVDXkOnJCvuOIKlYNg5Dt98cUXpoeAUPCNutGGD3/WP7tsCzCgU1TY31tmpcz0M+jevqZX59GgegyW2pW7TbvS/HYN/hivhSv3A3G6stq0RhJiY+29MgoQzu1UcHB+h1Lu0i4CB0/YUKNiweX2BevcJXIuOAnGeyWYCbbx+vTTT/HWW2+p5ejoaFWkqFWrVk7KDB+Cs/sNhet4MfybrY+MfDtvzsHq5WGvO3+ev6/H68SJkzgf204tR+M82jdKQFRUwcqfS5hfnnynU687X12TL8fLq70mJiYq1znzBC5evIjvv/8e586dU1ZOJsIyP4jC7OTJk+o9riNt2rRR1gRWFeNnJ0yYgEaNGrnNQxCESO1v16WpTYVgMizLqJRFqx1/V3wILFGihPozlDtrM/OlEVAx89Q5DSmZunJnO78RtWt7F6rQooEjZG734YIVCIFmySbHVN6ng+5JKmiMoipI3RHWFTNFzgmC75k3bx7uvfde8/VHH32E/v37q2WrtykcKz56U0zFm0qZhMWcKleuHJaNzGf+vRWIraSWqxbbi5iYgpfjZcuWRdOGlYE0Xbit26k5tbsJFbxS7hj3yx8ge/wwqZwlotnnh670rl27YvDgwSqEhf937NgRgwYNUp/jg+nYsWMxadIk9OzZE2vWrMFLL73kq2sShJCrlMnChp2a6jHyf/31l1pXvnx5FaJSqpSjR1v16nobAOXSL6+hQmmYnruCSioOVjjJGpQotM/rPIwm9SsBF3XX3eHT7kPlQhGGeOw55VAg+rT3zbXplcSYXKZXHQ1X5U7knCD4Hv6mjIISjz32mEpDcJVzkVox09oGIbdKmYnnNTw/IROPfpSJ1DRdRhqez6NHjzpF/IQ6vy5INJfbN/DddV2ivHd6xcwzSTaVPhNqeBWWyYfMb7/9Ntv3mUPAP3c0adIEP/zwg/dnKAhhCifltfbn5CY1gVLFbJiybJlTLoJrIi0tmgyNo0fhyJHD6NSkEqYtAM4mQRVWaex5aH7IMX8li6no2mzNsue8/nytWjX1dgiF2uFcWklcuKghtlDoe/AYJpheuL1atiEDHRoXYLKdhXLlyinv1cb9lnYIB/gwEfpjaEXknCD4nmV2WcdolNdee83pPavnLhKVO089d0s3abjhZQ277N1W6lQB7r5KV+7Yg9Pw3jGCIBxYtcMRfXNljxI+Ve7GzVwPlL7MDM2sWh4hRfAEXwtChLFsM70uMPPtyIoVK8z3O3TokOUzruEqHRs7HqzZEiGcWbbRUXUwL20MlDWYDUpVlmMU/juCsGD+4o1Agl4ApHLxo0gobPOtRTPFEZa5PfiK7wmCEOSwCubhw3ql3Xbt2ql8OyuRHpZp9dxZ26sYpKfr3rqu9zkUO7JgveY27y4cYGjkwaS6+ouMJFzT13eW7O6MUmE7BDvr9W43IYUod4IQIBa5aV5utDqgsGNiuSuu4SpOeXdh3sx8816HR6pLS++tdsxFKBZz1Hy9M0xCCmcvOmsut63vqJTmM+XuwiEgIzlswzIFQfAthpwzlDtXypQpY1ahjTTPHZUYw3NHJde12i57tFKpe+ErwF5zxWS5vTWetSBNuCh363ecR3p0BbVcHBtRpLDv2mOUK1cOdSs5jMmrthZcWyF/IcqdIARBMZWuzfSy6Rs36u43hr+5K6HuGq7SpgEVQf31kjAuqpKRoeHQGXvuYcpOtGiqVyj0lgolHP1qNu8JvQnbHat3OgqoDOxe0qfHcuTd6d673Yd0K7IgCEJelDv2b3XFZrOZso6eu1AsaJFXjh07hjNnzmTJt+MYfDlTQ8uRmor6IZT9L460oYO9DRK9eCw8Fo7K3aTfDpnLDSoWfH9VV3p3qQ5kXlTLKzanItQQ5U4QAgAfiA1lrHJZoEZFqAIMRoK5O2umu3AVhuC1sOs5m/9j7l14CsFdVCK0OP1F8oZck8yzo3YlR6P3tdscydmhCgX+gUSHIL+iu6P4jq8smswrM4qqpGcgbMJbBUHwD9b0g9xkHQuCnDhhbwYbwfl2L34F3P6mhmR7HZG6VYBFH9nw7M02dLT0uF2x1Tksk20VwoF/VqWby91b+D7Pu9el3YAU3RW670QRlaMfSohyJwgBgAm6SSkOrx0tlblZM7NLNDdCM2ncNMIywg1rzHsR7ELp0vYyoV7SuHacQ4judYlpCUF27jmI9PiWarmI7QAqlPb9lO6adyehmYIgeAoNmIZyx5L92bUKidSiKu4qZR45qeH17x3Kxe0DgTVf0mOnKzntGjqUnRVboJpj85kiXDx3NGJuPlhOf5GRjEGX+r69THdL3l2mFq0K1oUSotwJQgBYag+rIJ2b2jy2ZlaoUMFsfGwIvI5NbG73G06s2OzIJatR1pFj5i1N6pVVydhk33Hfxez7i59m/wdE6fdD3XL+caGJcicIQl7ZsWOH6huZk5yL5HYI7jx370zWkGrPInhgMDB+dBSKFnHI/faWYpgrtmrqGcFQmsNBuWP4f3K63aB7bjHatG7m82OWL18eFYoeM18v2xhaLSVEuROEAPdsY94cMTx3TCRXoW9uiIqKUlY5Q+DRotWmvuP9jbtDK3TAU5asdyQ3N6vlCK3MUzuEFN0NeCKpaMjni/29wpEL0Lmpf65FWTQtjcy37w/tMRQEwX94EqFCxHOne+5OntXw8TT9dVwsMPr6rCGJdasCJYvqy4ze4XOBkXd3/PhxJCU5cs1DkWkLHCGZ5WK3uK1H4AvaNY43l/9c5Ps8v4JElDtBCADrLGGGzesAJ0+exO7depn+1q1b59ig2xB6iYmJOHv2rJrYC9kLSW4Mj/D6LGzeZx+P9HNo26xsnvejchFS9cHP1GKw32GYC0k27C1uLl/bR68k5g+LZv1qDtGx5T+H4BUEQcgJa4SKp8pdJLVDMDx3RYsWVWGrH/zsyLMbOYA5+lmVO4ZgtrOn5x05BdV025p3F8rKMRXVT35xFD9rX8d/StbAntVDtmKmKHeC4GcyMzWVc0dqVQKKJ9g8CsnMLlylUIwNDas7+o6FWuJvbpxO1HAyyd68NHk9GjXMWzEVUrVqVVO5IzstPYJCjTff+gDH0nSJbrt4FD07Ou4LX9Ore3Mg/UxYVR0VBMG/nru2bdtmu10khmXSw2YUQKHXLvE88MFP+nsx0e69dgbtLKGZ9N6FS8XMGfOOY9cRe0XoswtxaUf/GDHJVQM6ABdPquUDp/OW5x8oRLkTfM75VA1b92pZlA4mVh85csSsEBkpsFyxYYlrUde7UJXswlWa2I10rF4Ybo2l1+mFGXWS1+eq/OYEcxFKxeuTNdmyNzQtmWPGjMHjr/4BROuxOK1qHkV0tP+m8549HXl3R8/EI+1CeBkUBKEgMaIsIp0LFy6oqtCkfv36KFky+9YtzBkzmptHinK3bNkyp4rZH08FztgjKm/sx6ra2St37a1FVbaGRzsERjPd8Og883WJ1Cm46aab/Hb8ChXKqwJu5KKtHP47GDoVtkW5E3zuper/mIZGN2ooe3kaOt6wCv2GvozWbdqqsINKlSqhRYsWSE0NvT4iBRGSabQx8MZz5y5cpWktx8S+KcxCM1dttcTbFzmkisrkh5pldY8TWbpJ72MTKlDwP/TQQ3jxxReBMlea65+7t7lfz6NHjx5mOwQNUSrhXRAiHXpeli5dii+//BKPPPII+vfvrzxQxYsXR6lSpfDtt98iktmwYYNS8DyRczExMWZRkEgJy1y4cKG53LZDD7z9o240i4oCnhiRc/l/V89dqLdDYM/fzt0HICl+gHodlXkWi6c/jLJl856WkRfqVHTk+0+eGToV60S5E3zK6u3Av+v05cTUWCzb1wp/HnkKa6KnIKXCs0CRZupH/O+//yISi6k0r2NTnhjDc8cHgDp1cm7Q7S5cxfDckY17wsuLMne5w9PWrrGjlUFeaVwzA8jUHzCWbQqddgjp6ekYOXIk3n//fX3qtit3ReKBvu183/fHNe+ubNHT5uv1O0KrkpggFDRU6mis7NSpE26//Xa88847mD17Nvbv3+/IHfrkE0Qy3kSoWGUdc9KTk5MR7ixatMhc3pvaByfszt6hPYH61XKe45mLx565ZOU2jl3oeu54n9CAeDTzUiBaL55yc/8YNG5oedDxE51bFDOX/1wcOk1dRbkTfMpXv55yvNAs4ZfxNYBqjwNt1gJN/8DKVWsRKVh7tjEsk8L/2LFjpjXT6E/jTVhmU8ucF26euzU77MqqloEBl+Q/r6xOraoqvJPsORKLxPPBrwynpaVh2LBh+Oqrr9RrW4lOQKzuwezbDigc51/ljrSsb8+DBDBnUWSETQlCdnz88cduqxKWKFEC8fF61b1169YhIyN0DEoFjTcRKpFWMZPGuyVLlqjlylVq4cs/S5nvPXWDZ/O70RLhXDJwHlVVde1QU+7mzp2LXr164dSpU0DFO8z1D11nLwfqZ67q4zC2r7cY5oMdUe4EnzJtgUOhu7TEfbin11J0bXwO0VGWH0mp3vhjWXrEhWUWLawXVPHWmmm0QrCGq3A/8bHhVzHzYrqGI+fsicwp23Fpj4753mft2rWBpFVqWYNNeZeDGVr8r7vuOvzyyy/qNSupXnnrF+b7V3X1v2JHenaqai6v3CT5RELkwt/on3/+qZYTEhKUd33OnDk4dOgQTp8+jcsvv1y9d/78edXnLVIxZB1DLlu2bJnr9pFUMZMhq4ZxoFLLJ3DohL7+qm5AszqezfHWZuZrd8aYnk9W4AwmowKbsv++VMvSiojeb4Yyq3Eo2g4o2kKt79jE8zEoaLq1LmU6Jo6fr6jyZ0MBUe4En/HfYQ0Hz5TRX5xbhjdfuAMfjemMBZ+WxOFpUXj0OscPe/3+iogEziRq2HvE0QIhKsq7SpkkLi4OFStWdLJmRkfb0NgehbHrEJCaFjoWppzY8p+GTOhtEGIvbjWbuuYHtppA4krz9UpHW6GgFfrTpk0zeyD++uuv2HJMb25Iw+zlnQJzXoMv1wUv2XXU0ZJBECIN/kaPHj2qlnv27In7778fvXv3VmGajMRo1aqVue3q1asRifChePNmPWepWbNmai7LjUiqmGnm29lisCd9qLn+6Rs9V2pcm5krWWfPBbU2Rw8kGRkaLnlAw4DRGvo96lxo780331RRKqRa+5fM9aOuCIxiRxIK21A8zq5pF2mCZcsdzw7BjCh3gs+YusBhKSqc+reTgCtX0oanboxSoXbkjK19yFhECjIkk1g9d55WgjQsmqw2ahSjMfLuWGxra5gYOWcvdFTqqFMhKdeQVU9o3LgxCmdsdBKCwcxvv/1mLr/22muo0bCvWRG1W3OgbMnACL76tcsjJk1/WEvS6uPEmciqeisIBobXjvTp0yfL+1bZZ1SLjDSo1NLD6WmESqSFZZrKXbnhOHVeN5b1aw+0tXjjcqNtA+eiKtZxtj5nBBJ6JLfZn0/+WQ3c9rqm7gsW2qG3m5SpUAsno3ur5eIJes5hIKlTwZ7vGZ2Aecs8659k3Oshp9ytX6+XJP/iCz08iNbkDh06oFu3buYfHzwNNm3apEKLunTpglGjRuHw4dDq9i54z//Ndihr3ZucMeO/DUoVs6FCEXsseJHG+HP+FkRWpUybCpVYtWqVGW5JS6+3Qu/AgQNZKmaGS2jm30sdxVQ6NtcTq/MLy2u3aVQEyNCrYC3bHDzhKrkpd1dccQWmLXC8NyhAIZkGVYrYq4fZovDLP+EXmilyTvAE46GU9O3bN8v7otx53rw8EsMyqQgYyp2t+hPm+mdu8m5+L1nMhvr2rI21O4GWrdq7Hf9ActDuBDP4fg7w9Hj9+o2w1Lodn8X5VP3aR/TRvWeBpGMTvSUHmbPakWueEy99DfR6MBPf/6kFJJIqKq/luFkJihZwK23atMGCBQvMPyN0jBr56NGjldD7559/VOn7Z599tmCuQAja8MPVu+wJsCm7MWSA871i0Lauo+LeT3+fQyRVyqTnjqEShsfSm/5tuVXM3BQmFTM37HFM6oN6O6p/5ZcO7dsASfpD1n9HonHqXHCOF/N1Fi9ebDa1Zb7g9EWOcx3UNYAnxxDX2g7le9r88KpmJ3JO8ISUlBSz2jMNdPydukKjndHChcpdoK36gcCbCJXTiRp2HtAiJiyT18b8TMRVg1a4oZln1rW590pNO3vmQtoFIL5MWzPaJVg8dwePZ1332nfAqxMdxfeORV8RFCGZBnde4yhus/Fo81x/v2wBNuE3TXkmb3pVM6ueBr1yx8T+pk2bOvXRyAl6JlgE4KqrrlL5QiznvWXLFhw86Jl7Uwg9Zi8HMjW7tePUr+jbN2uoCrn6EocVZMnW4hHjueN8ywqX3hZT8bRiZjh47jiBHk2yezIvHke/Swqul5t6uLAXVQnmvDt6BIxE+AEDBuDwCQ1LN+nvNasN1K4cWMHXp31hIENvg7Bka7GwemgVOSd4Aj0ORmg8vXbZhY4b+U+sAhjOXqjsMGQdC864GkwMzqdqePErDVWv1VDveg3DXyqMkpXahr1yZ4ZkFutgruvdJm/7shZV2XKgqGlsYKVWI58tWDx3lzgc2vj7v0FA6StgK9YWe46XNhXVlvUCr9y1aFgCsan6/XveVgtrjQre2TB3DczaCv3aAVXL+/8aYrz9wJkzZzBp0iRVkvvtt9/OklTMEqalS5dWZbsHDx5sdpmvV6+euR3LAletWlWtN5pUWqEF1Gh0aZ5oTAxiY+3lAIUcrc3W/wPFlH/4/enfV7WEtahS5QG35zSkX03c/s4poFBp7E9qgAsXMhHj9V0ZGuPFZ/SNu/XlOpXZn8zR387wCHh6HtaKmSxzzM9VLadX4ExK0dshFPQ1+fveWrflGDKjy6vlkjF7ERtbrsCO3bZtWyBxjFPeXe+2WtCN16xZs8zlyy67DNMWOnvtAv07b9m8AXBuAVCqL86kFFMFcBrW0Pw2Xq6h3gWFyLngJljkHPnjjz/MZd4X2Z0Tq0P+/vvvpiHAOoeH+3ix1Y+hnFHJpQJsPRcufv8X8PTnzg//vy4GbHUWAvEf4sCBV5VyQgNKuI2XQ7lzGHjbNszb8fk5g2WbNWXI3Lp1Ky5evKi8xt4YkX0xXvv1rk+Kp27QFbixk2jxjgYa/h+KRW2FEcM1cmBw/MZJ3WLLsfmiPnaf/pKIT0Y7+t+58sVMx/It/bNeg7f3V17kXExeerkMHz4cxYo5Xxh/sD/++KMKUWFFpEcffVQ1ZOZkx7AFWmus8DXLArtj4sSJGD9+vNO6IUOGYOhQRwUhIWeMxqmB4EI68PtSe/XLi6fRs3WhHK1uRTM2I6lQf2TaiuHnOfvQsbEWluO161AMUi/oD3l1KyVj794Tjjh7mw3lypXz2DppFXD8vRmfq1u5ItbuisOew8DmbfuQEK+F7L31xQ8seqKXEK9e5kyBWm453iWid8CIlpi/OhnXd3NJBgjweHHiN5S7IkWKqBClV8fRS6ZXmWtf5zD27nVWDvxN0aJFgdNTlHJHfvzzFG7pm31hpLSLwI1vVkDfNudxdedklCmema/x8tSr5i0i50KDQMo515xYzin169fPdp6yKvjz5s1zysML9/FimLIBPUnWMVq+LQ6vTCqFDXvizHVslVQyIRMnE6Oh2QoBVR+GVuFGPD1uH+4cFIMYRwpUWIwXe7spijs8d5WL7cfevd4rNqVjbYiJrob0DBsWb7iA6xvUcTJEGOHBgRqv7XvZaV2fJ6MuHsSdfdPx+z9J2Hi0iWpYfg66hzshPhOd6x7A3r3BEQ3SusZubN5+AYiKxeR50XhsyF5Eu9G5ziZH4Zd/2SbIhlJFM9C8Kq8hf/dXXuScV8odtX8KtMcffzzHiYuhLMw7MJoRsuRtcrJzPgZf84HFHbfeeitGjBjhfKJi0fT4gZA3DK2CvrJq58bfq4CUi/YXp3/H4GsHOYURutK08hwstYdb/726EIb196yoSKiN11JLMZVOzRNQsWKM+k0ZAo/loT2FjXENGOZjjG+rBsBa+3GSteponP2wB/29tW7nBnP50g5lcryH8kLHFmXwx7lzQExx9WBR0PvP73jRun/ypJ7Txnm0UtX6WGKvOVStPDCgO8usI+BUKrwJRtmQlbtKYUwNe19CN/z4D7ByO//isfdEaXzzdHDNXUTkXPATLPcKi+kw9NaIvMhJYbMWWtmzZ0+BzzfBPF7WMNRLL71UXfupc8CdbwG/6OmKJgM7A2/caUPVctEY+wPw2rcXkKHFAoXK4e3p5fDHemDCE0CbrKmNITlezKtWvQ9tMSokkapMzYpAm2Z59+wyZH/NDmDnoVh0u7M/gOfV+l27dvnkvvNmvM5abF3tmldB0SJA1fPXYOOZ+4GSl5jvXd8nCk0aOnIuA03Prs3x3dLfgbKDcOZ8Eew5VQO93ITOfjINuGB//r2xXzTq160RkPsrxttStrS4MPeDsLINK88xp2DMGEeIk2HFMvIvWATgp59+Mt9jfDor/Klmwm6gcBMBlz94wwRK6M1c7LA2RZ+ZhZ49x+d4Ln3baVhqj2z5Z01MQM7bH+O1YbdjXFrWtanwLoZKEIZKeHN8hoQVL14c586dU79J47PNavM3p//uNv9nQ4fGtpC9t7bsiwXsFtpr+9Up8GN27Ngef/yyCijZE0dOx+DYaRsqlgme8Zo9e7a5zCbIf66wmT2BGJIZ7c5sGABa1S+EwydYDKAy5q7RcDE9CnGx7sdxwm+O38DIy22qz2MwzV1E5FzoEOh7xeqRovKW07nUqVPHnLMZHheucs4d1kqNHTt2VL+bG1/RMHuZYxv2fX37Xht6t3XMCS/dDtiOfoeXvi0ClL/OzCcf9BSw50dbtvNMKI3XsmXL9DkkoSk0W7xa16Fx/kLO2zXMVModo/4yi7RUkT581uD34Mvr8WS8Dp7INFscFC8apebJ+XP/BC7MQ0ybxUiP0+NK77zSvXwIFM2bNweOv6GUO/J/fwF92mW91om/O2TcbdnIOH/cX17t9ZprrsHUqVPx/fffq7/u3burMJKHH35YVXSjBcKwfDJ0he8bFi3GSk+fPl3lGEyYMAGNGjVym4cghDacpH6el66/yLyAjg3O6aFbOdCzSwMgWffS7DlRBifPBocbvqBZtxNOlTK9bV7uimGBowXIiN1uUjM8KmbS43EqTbdc2rQL6NDc4aksKNSYW5uZB0ePV7ctEPr3749pC6z5dsEj9Jo2bQKc0UvBp6RFYYm94Isr/x3W8Jd9uGtXBnq0RFAick7ISwsEd/3trPAhzvDs0VBw/LibsoFh+kxgyLoyZcqgZs2amPwPTMWudHFg/GgbVn/hrNgZtGxUGtg2AljXDeUT9DE7fBLZzjPhUEwlv0bZ9o0cn1+3q5Cq3EtYnfvs2bMBvRcO2G/7KmXtKRHz56uQdmScxeCGX+D+a4GJT9rQpkHwyDjCuRynZgLp+vj9PJ/yTstSDX2V/TmCnuUWdQN3DV4pd0wQL1u2rPnHimAMRWFeAq0PzBXo2rUrnnrqKdx0003o16+f+hytk2PHjlUJ6j179lRWq5decnSfF8KHDbuBgyftDuGz8zGgX5dcP8NEc5w2msBGYY7jeTssK2WWLApUr5D3SpkGRploWuSMXltNLU6CTfYWgqHIgkUrgcL11XLp+KMoFFPwk6RrxcxgamZ+4sQJNaca4X+VKlfDrKX6eyWKBpdixPPDacdD7h/L3Y/jxN+1XL12wYDIOcHTB1WjeTlzKzt16pTrZyKx3x0LfnE+M+TcmSTggQ8dc8HEJ2y4faAN0dHu5wOzHcK5xWhc/Fdz/Z8rgme+zg+LFi3SF4o5DLwdGuVvn+0sn1++RTOfL3jPGn11A8HpRCDVnibOAnCuRszBV3bB+w9E4Zb+wScbEhISULtmZeDEz+p14nngV/tXZzDxN2cZF0jyVZfw+ef1OF7y0EMPqb/saNKkCX744Yf8HE4IAWbYjVCKk9PRt+9tuX6mZMmSqBi3DkYr4NnLMnFdLz9lTPsJeiON/i4MP2FYiqHcMWTCsKx5g2s7hMqVK6NSGV15pAA1KnOGItP+ZA5CN7XcqLpvioaUL18eVUochlGofsWW4HlYYOK7Ee7H8MD5a4Gzen9XXN4RPlF286XcnXnEfP3nCuC1O523ycjQMNEuwxmFcvNlCBlEzgnu2Lhxo2lUu+SSS5QRwFvlzl3D83DD1Yj55Gcajtpz7K/uBlyZSxSCVc5pp/9isJtaphH41VEIaejpN58DynQFkzRYLKaVbtfMM8y1LxxHzxKNlsCYAe1VkSjC4zHvMdA97qq4KHfMN+7duzeCmaZNm2L3/P8DKur34Hd/ahh6qX7/pl3Q8J3dxhkfCwzvFcgzzWOfO0HIjmkLHfHGJTMXeVwRrEOjdCBDz7T9fWlGWPXLIut3OYdkMjSCIRLqdYsWHj0Y5CT0jIR1Ko2G947hD2eTQnMcF6xxNLS/pK2jgWhB06lVJeCiblVeuimw9116OhUgDW98r2HclGSg9EAVqtO8w9WYPNdxXld1Cx7FjjRs2BBRGSeBpNXq9ertwPEzzuP41ypHCez+HSjYg+saBMFbDK8d8VRJi0TPnTX9oGilPvhshn25MPDBA7nPA/Se03NOju5fp4yjhOFvJ1zmmVCD+b2qR2J0MVwsVMd8Pigcl7/5MSaGYY36Mitn12nY0e334W+sbS4YlslCMjt36vkqXbp0cSoUF4w0adJERaQh7YB6/fsyxz3Ith0n7RGv13QHShYLrIwT5U4oMA4eZ7yx/YZOWoO+PRqqQgSe0LZ1U/1Hw544Z2JC2uuUW75d8zo2FRphKBJ57Ttjhqu4NHh1zrtDyMGm3TsOOSoM9myfffXF/NKhQ3sgUQ9TOZ0U49SDx998NBW47XUNT3ymYemp24Em04GWi3HDe+0x3h6NFFsIuMyRmhEU8MGLxSKsoZlGbp3BFzODJ1xFEPydb2c1hBiGPD7YhyLM5V65ld43zSNjmOm5s8XgywWO0MNX7rB51NyZBktD1lHO9bHvgodmZe7wCcnUH8fb5zMk04D94wzOZNQ127pYPan+xsi3IzTwGX0fiVHAKphpyigVZALH2JgPSM8ApszT35swS3MqpBJoRLkTCoyZiy0vTs7wKuSE/aNw2lEdcHbg5h+fsG6X44ffog6wdu1a54baecA1LNOgaS1bSOfdqSqisQ4J17Ke7yZKPe/OYclcYW81EAimWgqmZEeftkCxIoEXHLnl3VnzYejFm24P1y5XIhMfv3y5agy+ffv2QJyqIOQbVeFvvm6MZKN6Km2ewBB8VXUPutciMTH7npDByJczNTS9WUO7URoqXqWhcB8N9YZn4tIHMnHLq5l4+wfNyZtG5W/dunVquUSTl7B1X4zZaPveq72XdSy80aH+ubDJu3PXvLyDpRhKQRVVWbUtShV8Iqzge/iw0bwmcGGZzLmz5tuFjnIH4Pj/mesYmnngmIY/7I8RNSoCPVsBb775Ju6++25VYEt5Z/2MKHdCgTFjkWWiPfmrx9ZMM1zFLKqSfVGGUPfcMd+IYZObNm3KOmEUQFgmaWLpd7lxd+iN48KFi4AE/QGoZOFElC7uO2WGAs+W7LCgr9wWmPFi1S2j+lvxuLPAjnuA/55Dr0abcV0vqH467P/EUuFBG65ybpEZWs28O8Oq/92fwEV7Ad2OtXfirzm/q+bfn376aSBPWRDy9VBuPLDRiEnvkqdYQzMNxScUoKfukY+d58e0C8DOg8DcNcDXs4FHP9ZQfYiGe9/JxM4DmlIk2PoB8bWRWOoBUwZ+/mj2BVRyk3WVE3Yjzt5BhHl3oZrCwfM2PHeFSnc117MNQkF77lgszBohFKjQzIMnHN9V6aIpmDdPd3ux35uSIUFOgwYN9Gi05PWIz9Af6hZvBJ6fqKm2E+TW/nqxsK+//lrJOFZfVtVA/Ywod0KBkHRew9+r7D/ctP1oUC3FKWwwNypVqoTyxc8CqbqracF6IDklNCdtVy6ma6YHrX5VPZ7eqtypErt5oGLFisoSnMVzF+IVM/+Yvw2I0WPvm9Zy5HD6ArbpqFfRURp62SbfHi87lmx0ND4tlDwfOPIZsP8VfDOmNCaNicJf70bh19ej0KB6cCp3ykChXTBDqw+dYJ9F/QHmS0u4SqFT35rLl10WQlVVBCGf+XahnnfHcHGjqBMVB+bONq3FSALn7VjE4+NpQP0RGq57IQYo3hmo+xEyoYejPjiYBUO8m8eszxJHD/+H7rrtT4XRb3PYNUMKRi4YVUSjSnQ0KyHXz3vvcifYboZtJsjCDUDLVo54/kCFZlo9d7u3LlQFZQyvnTcGkkARFxeHevXqqeWLh74y1385S/+fl3BLf7091ebNm9W6Dh06oFQp39UNyA5R7oQC4d91QNpF+4/z5Ez09cJrZ9Baee/0buZ80J3niFwMaSh8jAd3JkvzgddQ7tjzJ7c+gDn1TaLFy1W5K1fShnIlYTZ8DTWWrNe9P6R7a7t08iFd2tUC0g6p5RVbMwNiCZ631nHMkzt/Mh8CWQE1FDC9zxbvO713y7c48j67NAOWzf3abDfQrZteDVUQQjXfjg+kvXr1yrNyFyp5d0s2avjKnh7Faswz37Dht7FR2PB1FM7NjsKZ3/Q+dQ8MBhIKO3LiFm+vALRYAJTSFeBq5YEXbrPlOwWhbzub0zwT0iGZcdWQpukP/+0bUq4XjJLDe3OAvY4KlfLEQl2DwHOn/18oBlgyf0ZIhWS6yrqMw9/BFUbY1KhoU9WuDYxWOf5GlDuhQGAvFZOz8/NU4jlcQzOdK2XaVAhlUpJuAs1vKIIh9Bj6cubMGXM9LaqEJadDqSk8x+ZkqqPpc6v6vp+iVLhKkl4BJCk1Bjv1Qlh+hWFNJmfnmY3LQwVaM1nK2mhmbuTDWAup9Gt5UDVvNkrHGxXwBCGUOHr0qJkzzVxxVnP0hmbNminDXKh47tjG5N53Hb/jl0baUL6UswJSoqhNeePeuz8K+3+y4fU7baotjysfPWRD0SL5V+6MoipkzsrQkW/ui6lYm5cX7DFG9LEowWvLokKFCqZyFwgjplFQpXJZ4PffZ5n9QQPVmiEvmM9safvRpIql/KelWNjs2bMDHqEiyp1QINBCbxCTukY9vHmLKqpy5h9A0xN0/giToirrdjoXUymIfDtv8u5CqWKmsmYmtHAaL1+jiqokOso7si+QPzmfqmGZHsGBotGHgQsHQ86aSQHNfASc32KWiWZvvh/+dpQ9jz41NeDWTEHIL3/9xV5rOnkxYhYpUsQMxacsMELTghW2LlizwxF5ctegnLcvVcyGx0fY8N9kG2pdeBFI3qDWjxyQjiu62ApEzjWrDVQo7TCMXbiohaznLqpkJ3Ndh8YFG5rYuw1Q3h4RyFL9Ldvqz2WnT5/Grl0Wq7MfSE3TzFYBpRNSVHN70r179zxHLwWCppZntjrFl5rL9Ghf1ZUtjdLNOaJ06dJ5LpiXX0S5E/INLUDsEaa4cAydWlXO049Vee4yzgHn9LKb2/cDew6F3qTtyjqXHndW5S6/nrvs2iFYK2aGUmimEnhFdeUuvlA66jiceD6DlvRCaesCVlSFCdlGwZG0Y7rnmjH6jNUPJRyhmXPM3Jskex45i8LM/cvez0Hy7YQIa4GQXWgmHwSt8iDYYKXbp8drTp439lDzhJhoDcc2vgWsbomah1ph/ON6fnheYHi64e2knGPoIisHk+QUmMWoQsn7y2qpJKFiT3N9QbVBMOB3ZTTTZmpIfNXrA5Z3d+ikYzkjZb+5HEpGTFflLurUVNNDzeqv8XE2LFu2TPUxNuYHT9uBFTSi3An5hk0yTyfZb+DEFejVK28u9lq1aqF48eLOoZkhGk/vrlImk5sZjlCQyl127RCcPXehoyDPW7AGiK9l9gMsqPyD3LxOzWpdMF8v2WjXtPzE3DWO7+fi8T9Nz5YKcwwhzHvZEpppMKJXGhYsWGAaJJSXTxBCkKVLl5rFFTp37pynfYRKUZUnP9Nwxl5E5aZ+zJv1fD6mhy05OVktN2tcI18FM1g4rEqVKk5yzjnvLnRknFO+nS0GKdG6RlezIr1sBS/vrKGZe5I6ByzvzlpM5fQR3Zsbispd3bp11TMD2b55ORZ9ZMOsN2x4caQ+zsGQb0dEuRMKNCQTScv18Mo8QMtcy5YtnZS7uatDa9J25dhpDUdOOUIMKeAM5Y7LnvZHylc7hD2hI/C22PsgkTYN/Wfx6tK+AZCqD9SaHTaVZ5JfWCzhk08+wfHjFqnmhrnWmgpn5oWkwHP23DEkxTF+jWsC54/OM8PPKPBCoTKaILhy/vx50+NCY4bRkNxbQqGoyrLNrHSrLxdPAN6827vfbEEaMa2y7uTJk0ppZMihwZwQMwJTLiiKNEF6ZqxP8u0M2FPQqMC5YX8pILZqgXru2BKE1/P33/YYfA8amB/cox+7du3aqF+/PkKJmJgY87mNFU+rlL2IAZ0chmircpeXsO2CQpQ7oWCLqSSuMJu05gWlGCatpd9evTZi/UPda2eEZGZmZpolcjmxMf/CF2GZzHugl9BohxAKvYBeeuklMySTtKjjPwVAFVVJXKWW0y5GY4tjKPPErFmz0KVLF4wdOxY33HBDji1EjBy/qLQdwMUjyioY0spd+kmUjNntlGT+xx+BTzAXhPzCuZtzOMmPnAt2z51rEZUXb7OhQunAKndWWUdDZqWyNpV7R1ZuC53CYUuWLDEVobK1L/dZvp0BDWmG907TbCjd6F7TqHDxor2Mdz6MHVdccQXuu+8+3HHHHQ6PZC6eu0x7WCZ7wIWioa+pXdYxrJoKngFbWxgeUaZ7GN7mQCDKXR7gF/jjjz/i2LFjgT6VoPPcFbNt86q/nXuhlwGc1932bJCaeD40Jm1PKmVSAeOEWFACz2iF4KrcWStmMomZVTODGVoRVe8oazGVuv47viqqkuQw//JhIa/8+uuvuPrqq3Hhgh7qyeTq7KykizYC6fZ01cxTusAfMmQIypRxU2ouyKGxgi0OSKHTk9X/ZUvo4VyGNZP5B96WjhcCx9y5c1Wj4VAwDvmD9evXm8stWjjmKm8pWbKkSkMwGplnZNgngSDhi5nAKvscSAWK+UTe4ivPnXNopv6at+ffum0uNIyYdhq0vclc7lDA+XZWRlhSQzNLDzM9bvnJ9+RzzJVXXulUYOj111/3qIE50vSiYVQIQ5Emlvt548aN5jLHwpgrA100TJS7PMAHt+uuu065Zr/99tuIFnxs0L3aKECRshMtm1TLlyXGtGjSe2eftK0KUqixblf2lTILQuDxYZrNzF3DMrPk3f0XIgIvQbeG8xYyrLL+KuWfkOmwUqyweqO9YMaMGbj22muzWETfeOMNt9s7hR3bQzLvvPNOhCJU3IwqgCfWj8Gcty6q3ldJZ/Zi2zb9SbFTp04oUUJvUC8EN3xQYYnynj17YtCgQTh0SO8FGclQETPIj+fOKuusoZ7B4rV7boJjXhr3oOdFVKwYso7pFvlNP8guBaGPJe8uFFoirFy5Er///rt5Pacu6hbMmGi2/fHdcetUsaGjkRKdXgMo0ixfoZkMix04cGCWUExem9UA4q7HneLCQTW3hFpIpruiKlblLhhaIBiIcucle/bsMV3PLCd70003Kbe00b8p0mCZ/ZQL9gk2cWW+BR6FgMpjSHYI0TUOr3dIwdK//9jTKVgwiblHBa3cEcNTevjwYaey2k4VMx1RckEHw5JmzpwJRCUARfX7p15VNsP1X7gGH0CsOX4rtjgKrHjKtGnTMHjwYFOxGzZsGMqXL6+Wp06daio4OfW3a9y4Mbp2dTSbDVWhp2VmoFzcVlSrEBwNXQXv+e6775y80Zyvvvrqq4g2ZlofXAtKuQu2vLsdB5grri/37wB0b+n9PMzQ1S1btpge/YLoaekuBaFbcyAu1tHMPNjvzZdfftlcfuCRZ7F1n82MUikc51t5d4OlsArKX5/noiqGYkevPmERvNtuu818/80333T7uQPWQLe0Q7jrrrsQqjS1KHfGMx3vPUPWMd0m0HJclDsvUQ+hbvJrKPgmTJgQ9JOLT4upJC7PV6iKURWLscpIcjz1rtkRmmP6yXRHnDmFZFyso5hKQSp3Vovm/v37s/HcacEv8Er2Amx6gYJL81aTJ1906dAESNUfGjbusXn1W/7ll19UOKWh2I0YMQLffPMNbr31VvWa+3rrrbecPnMuWcMqw3CRvImlMpXXLhRzEHIKV7FaM0W5Cw0YJki5ZuXMmTPqfr788sud5plIgb9hQ7ljaX5vm5eHSt7daosx1ZvqmFbYw6wg0w+yC8ssEm9TCh7Zd1RvnxSs8N6ZPn26WmYuVsO2N6rIJF+HZBoMvVT3ECrKD2d8jNeeu6SkJJUPzlBtQ7FjOsV7772n2veQH374wexhZ2XfUXvo8cXjKF+uhIoGCFVq1qxp1ksw5By/3yNHjqhl9nnOa7GlgkKUOy+hBZPla5HQEq++NtYMiWNfi5EjR6J///5ZwuMipphKUv6KqTgVVUleD2gZIVtU5WyShle+1ceGz+ov327zSahKThUz6Sk0CMQYcqK799578fnnn2erKHFipGJEClcdbK6/vJP/FRxVVIX3HSOMLxTCf4c9+9xPP/2EoUOHquRqcuONN+Lrr79WVbWGDx+ut/cAlLJnDW1buJ4P0fYXZ+cp6zY/G8q4hqtQ2TWLB5QtizZtLCXuhKCFvZqYW270arIWBWLoFb/nL774IqKMmfztnjqlJy8XmJwLSuXO8Z22zmPUnC8jVFzlnHNLBASESZMmKVmXU3it1Ws3evRorNnp6PvXvpHv5V25kjb0a29/EVcNKNFdfU9Gu4rcSExMVM+3//77r3rN8HqGbrMfa0JCgopiMwxDb7/9ttNnMzM1HDb63KUdVM/KRjuBUCQqKkpF2RA2g6chwxqhEuiQzHwpd9RSWYSAE7wBQzZ69+6tYmnff/99p4mfNxHz1FhBbtSoUSqELNQ4d+6cbrFoOAlovQrfbnoYU37biptvvtnchl8wxyVSiq2YnjstHUheWyATubJoZqYAKdvMfLELF0PrIeLtHzVVyIRc31svpmINValTp45ZfCK/ZFcxs1gRm1lUhcqdvwvTMI/u448/Vt4ohigallwrr7zyirkcW+FK9T/DbALhuVNNw+3KHfEk15NhLZzXjIIInAsmTpxoNi6lYmeEn7DACi2c7vrbMd+O+zGsn+ESrsKeYHwoMJQEoxFxqBCJcs40YtqhgYK55VxHj5UhC1kM4cUXX0SkUJD5dqRSpUqoUKGCqdwFi6Js9dwFk3JXtGhRlC5dOoucM5qZkzkB6HdHpZ9GOco6GgitTe4NKPdpBCT8zvnbsRrGfdUGwZUb+lqUyHLXK7m1aNEijz7LazRSklgQiIqdKkRmh8qd4c368ssvnVoAHT2lIVOzuw0vHArZQipuUxA0DVu3bg269IM8SVo+pL7zzjum5kr4pU+ZMkUJvsmTJ2Px4sWmC5oPNbRUUOj9888/KnTv2WefRahB9/PFzCJAGd2dzHLpvR8rhnZXTsTMmbPMsqdU7FhNM9xhGXcz3C95A+rWqqwm4PziKKqiC9MLF/WxDhU4kb2jFwtEoRiYzS2Zr5mSklKgAs/Vc7dzp6X3AoDu9ihZ6h6LHXm/fsEa8sG5gTHo1nAu5qAZv5NSVS/B2dRiarlnKz3cxt/wYatKScO8CCzblJrrZxiKbSh2DFmjUDMUO4P777/ftFJ++umnKrwta77d/JAtpOJqaDDmAHruginB3FsiVc5ZlTuGCDMMkzDPhg/tRqgx+fDDD83WAOFOQebbuco6egSDIeKHD6qr7c6nKuXgdfsDXyp3VlnHGgeGLG1eh82/Yc6p/jYEUzE3ZADndnq3PvjgAydlnUZM4/Wjjz6qDLvL9I5IKFHU0YfO11zZBShqpD+WG6zSINwpo67QSGXMczRAMhqjbdu2Zi/fa58FPp5dG7fdNlKt43czbtw48/M//brEXK5a3mZWig1lmljua0Y6LFiwQC3z2ligLSSVO4ZRUWu1fkG//fabqiJZtWpVFX7DMA6uI6tWrVK5VFdddZWKQ6VLlpaMUCtCogReie6AzfHwlnYBuO89DeMXXYZvJjlyFAzXdThDC19mplFMZUW+8+2sglM9IDvl3SFkePkbDcm63MGdVwK1KzuHZBa0wFON3+0YE4xB9xYO4fzvOv8JPT7wuZZZphCkpY/eHPLqq6+aAq9dv+fN7S7vGLics0s7OPJo5q1wKHrZodo32HNF+aDrqtgZSuMtt9yilunFUgpeooY1RvhT0jq0bFpNDwsNcagMGPc2jRksJBMMDV3zQqTKOX5vxm+X3myjKJBhsadBg0XEjIbSRjRCuFNQbRAOndAwbYGGJz/LxNZCHwIdDgD1v8Ky5SsRaHYfYkqBvtw6H8+n1vSDBg0aFLisozLFfnH6MWym9y4pBVia9+r+ecJaLdE4twceeEAZ62jwYagmwzYJW9wwkmP/MeCIvT1R+4b6NfgDGk2v6W5/EVMSKD3AI+XO2u7gnnvucQopfv8n3s/Al7OLo13fJ1U6AqFyxxw98t0UPUePdGsf+oqda5QKr9XIt6fXLhjy5vVvwQtomeCNSsulNa6WAsHqiqxbt66KRSW7d+920mRptaBw5Hp3Tf74gzB6RJknGhMT0Bhd/mCVEC/5pLmuRwtgvj1SY/pCYOXWpihS6TKcPzxbKXf8jL+/ZMOK6g9rqmF5UiSuUIVQCuK4fDDiD2fdXr0dgpEHcFM/LejHi8Lxsxn6ckI88NQNjn1bhQBLxhfUMflb4u+NXjsjDI4x8KSrxcD879r8Xac3Y8XfvmFZpYWPlmn+3o8ePYoePXpgzJgx+P7779X7DLU5G93Z/Gz/jpqK0Q8EV/dvjm83ngeii2Dz3pgcr5XXyGsiDMNjzpx1e+t4Pfzwwxg/frxSZhmaWbf9g8jU7PPZ2fm445E71HvBEpqVH6jc0ZJJjAd/PpRRSchpPPPyW/RVmGekyjmjnYcBvXXuvo/u3bub3j2mKhgtMMJRzrmGZVKB5/fs6bETzwOT5wKzl+lpDAcszZyB2gC/7go34oc/v8HgazMDOl7W/p6t6uVtfPncY/zu+fvg/VxQ3xPbcjDs3VA4WLiCMIz/e7uO8vcqDV2ba367vzZs0HvyEhbVomefcL5ndAqNQMZ+HnroIRW6OGu54/zaN/LvfXx9H+AbI4Kw/AisWzdYeeaMEGF3WEMO2afUer5LLLrtpgPlVeQCK+1S5nMM2BpoxbqDQB19mx6dPP/tBDONLREdmzdvdjJi5nZ93s5feZFzXit3jCtmDH6xYnoIlQHzaYwHSsJl4+GO/1vfM953l4ND+OPlTWGFPxoWLQhkfxKVYF5Nn0xsNg3v3XkAK7fHYfQXZXA6KRoHT9iAur8ChV7AsX0vK6HHMsCBwB/VzOatopfD/r0mLkfFiu2zNNLOKyw2sm6Tw6K0bGMq9u49imAfr0c/LYOL6XpY2m39ziA18Sz2JmYNU2RoQ0GNFaFHjModrUc///yzUqAMalaojP+OFlIx/tt27Ed8rObzsTKqaRnWf4Zy3XfffUr55APt008/bb4/dMTd+HydPnnVrXwBURcOowCHxivq1qkFpGwCirbD2bSy2LxtHxLi3Y+XNfSaCmx23yfHiw84DEtkMQoquGPHM/O/i3o/LnUJunV7pkDvh0BCT6UrvAc8vT5vfou+Cu+JVDlHjIdTQgu9u++ND+0GDL1lBb1A4K+qnWwxY7Qy4bXn1vOPNpoV2+Mw5d+i+G15EaRcyP3h7O+tzX0+B+Q2XvNWlGSgoFquWvIY9u61h6B4ASslskG2UVWwIK/J2heNc6mRu1W/AiMmqqrl35ak4pZLj/rt/lq7dq35AM4cVPbyfOKJJ5Scs0ZwMf+aHm+Ox8wFzB3U55ZaZfM2znmlThmgXIkqOH42RnnuEF1MybLsqle6lvhn3q3xnVI3WbGVMaX6/T1n+QW8OmKE2UZl7NixyvilFXLIhHjbCezdm3vKQ7CjaZpKQTC8k4ZxjvUUClrW5UXOeaXcMWmQGurjjz+e5T1+6daqO1w2epvwf9eKPHxtJF+6wgdBlhIPJosmQ6kQUxooqocFtKxrQ/PG1dC8MXBZV+CmV4wcmiigxgtA8kb1sE1Lkz+hJYA3TLVq1XxevGCTkSKQkQSc36wsOtb8r/xAi5x6eE7dB8RXx9YD8ahWrQYK+pIKcrzW7QRm6BGHKFMceHFUSRRPoLDUMX7wDN3jfVGQpXKvvPJKM/SDITFG5SpyaRtgwm/AhXQbjiRXR496vh8ra0Ghzp07q9wSKnwMV/nss8+cBF7Lno8jc63u4R7ULbbA7qG8UiFhJtSjgS0KOw4WwqBLsyorRhieAR/IXc/bdbyef/55s4Ht8m3s6acawmHYZZUKNEw30HTr1i3LOiotuX2v/py7ciKS5RwLpRhGKH5ftEK7iz6hJ5KKK6+PPdqYa+nPKBV/3yvWvCpWfLXey1TkUi9AheKfSgR++ReY+Buw0000LvOd2jXU/9o3Bto1AGpftQMZsfVwztYSx1My0bZhVMDGa6dFJ7qsa3mVd+cthrJjGB0Lcj7nvuglpmeQYbIME2bVRh6ibhV9zNfuikeZcjVQ1P3PrkDHi/eEkedOby6VT/5RwbvmmmucCio9+OCDZijf0q2OnPwhfcrn61zzwuCewCfT+LgaBxTroL4z5oa7g+NsVM7lc4s1OmHrXj0U1mDDf7Ho0q2vMvYw0o3Xr56d6ziMWK0aV1DfVzjQvHlzlXdtfdaxhmsGcv7ySrnjJM4HVMNKR42VD6rMKaBmyZvc8BhQW6cGS+i9MioFEVp1Dhw4kK1Xi8It0KEpbvvbldC9dkYYgPGlVC0PzHlHw8vfAM9PtFv5qz2OBQs+CliRBJ6bL4Uei4bsPWrkDK1CsWIJ6vssqGOa+UdsZh5fHeeSgb1HbahTxRa04/XMF5lm35qnb7KhZDGbkxDgQyPh5FgQTV2tULE2YDEH67X0aKlhwm/6iS3cYEPP1jafj5U1365Zs+ZqeyqznOg5IVKQcExYgGL+Boe3Y2Bnm9/yD7KjdYMY/G6vGDf1z924unfWkDq2PeA4G3kUfODLbkyM8eI9zQqL//y7Bkiwx8smr8WD990cclUkc8K12ASVACp8nl6jr+eu3IhkOcf8GyN3hF4GdzmkhOfNUGTmnNKLRW+NMQ7+xF/3iiOkPgpJxW9B05uB42eA82nA+VycECyYwYrJN19mQ9sGNO45z2+NS8zBhhT9gfmVr5Ix/U3dc+bv8aInwugpywIlLHyRF4XdmoPJVI2C/n4o63gMPiCzwJGR/9mrTaZS7tJZPGyTDZd1sPn8/uJcQK8uqj2FU1WGYPt+GxrWsKFjx46qkjLzbxn1Va5cOWXY5L52H9Kw86A+zp2bAsWL+n+u69xUwyfT7A8rxdrjr7++Vt+1u+/bmm/HkHTreKxSeeOOyJb0DBuWbrYpz6WRi6yMIrEOGVqtQuBlfEFBRc6q3DE6x5v73Zfzl1d7pSWCCfLMleEf4+5pkWU+CQUhE9ApzJhkzfcN4cgHH/4AWG2HrmomZNP64i4PIRhhzoSKqS3pUO5cH5A5YT93C9CijuMHQxd1uLLCbnmy5tsV5E3K/SnPVhAVVWHT6ZGvZ+KKJzJx37uZePP/NPzwt4YlG/UE+d/sXrvqFYC7B2W9h4xQFV94aSg8jCR/WpmNfkzWipn+LKqilDs2Je98Dvd/0RApaZpTQrbR0PWxx55UuSjGQ1CXZgg4A3s6WkssWe8IubBCwU0vhzcl/o+f0dBn6JtAjeeVV5BUiN/m1Mw4HGDvT2tLByq0wabE5ESkyjnXFgjGQ3N2cFwipYCYyrdLaAm0XIxpG3qq6s0nzuas2PVqA3z/rA2Hp9rw8cNR6NDYlkWxI4M6JQIX9eJNs5Yn4ODxwOTdssiH0b6HLRDy6on1VeEwd4ZMo4emWt/Gcb7Mu/MH6loL1wNqvoTjF5vjsU8cx+XvngXOOF8wB9lo4zDH0ovP2qPPnzg1TS/WQRmuDOOzK9aCK65FsVZuzTrO89ZqqjI2vVgmcXoLlcJxQMn8F1QPGpq43N/B0AIhT547Johbe3Px4ZseCOYl8MscPHiw6vNEiwotFkYMLwU7Y2/Z9+rNN99UiYhcDjmBZ/fc0ZjZzU0lZE6Gj4+IwvUv6jf8sdiblQU40GFmPm9enrgCzfsVTGloAyatswjDsp2OEA9aFQdfYgto7zqGNzpwL0BeuM2G+Djn87QWU/FVCB4fovkQQgssQyD5kEpqVASqldeFN9shXEzXUCjGd+NIy78SFI0+AqITMG8N8Pr3mhoXA84B/Fu4XsPpRH0c+7ZjmErgLXpDBjTEvfbI0f9OlFDzmavyZlTJNJQ7d+w9Arz1U0nsOc6Q3UwcUpEtrYDKDmVuaL88xD0FOZwHadE0KreGWguESJVzZtEwe08xa96uJ8qdtUVCuLX8+Xl1R6DVG06VsmtV0otmFTH+4vT/m9ay4aZ+QC17leTc6NKxFfDVZ0D1p5CRGYWPpmp4dZQtJPvbWWUdQ4ytOXIFBe9Lzsf8/RnRE0YLHYO/HRHzPkVda/FuTk3UzyZpKFFU//44j7C6rpU/Lb34KPMCQd2qQOniwCnaJ4u1Nz10roWRmEdsGG4YQuj6fToZ+e3MX2t/Fn78cXNutMVXU09LVcvl3WgQjDS1hGCyYJi1cnmg8bqgihXmkFjh5J7dBM8H2h9++AGhiFLuCpUHEvSH8jb1geIJ7m/QIZcA97x5GmdSSwGlL8N3U2fh6QfDUbmzvEhcjubNnyjwY7BIxbK1Dkvy2gB77jhx50bjmsCNff1vzTQsmu+++65p0TSUO06m3VtoqpoYLc2rtgEdfZjixVCVC7YKQHGH5e7174ERfTTUr+b8u5m1RAuKFghWypWKQeGoo0jJLIf02EZYs2Yt2rRp7ZVyt/OAhnajgDNJ2YdYJWAXXngwa35aOMCQPSp3fMALVLGNgiJS5BxLy9MbaVjoc8sJZj4Vt6G3Mlw9d78u0nDvuxr2Z7InmGOO//wxG7o0K5j5SvULO3wbUPVRICpWVVt+5ibN770+V21zzMVt6uft2AxXt6Yf+MJjz6gAFvphuCMrVTK/mw/WZUva0KKupnLf1+6kF1JDmRI2Pyh3DoHPnrwzFgE3ZuPASU/X8PdqfblMCb0iaSDgM0H7RpoeNRNbHoiroTx0//vf/5y2Y9irEXHkmn9LI7ERTVWnMo1DF+2F2/icoalKu4x4mDX7X5yP0ovH5CWHM5hp2bKlMvxRCaYiG0zpFcFzJkHK2bNnMX/+fKd8O6uFyJWYGBtuvFRPPiUT5zj6ZoUL9AyZyt2Fo0DavgLrcef68MB94+KpgIdlJp7XTCsVG44u+cSGH8bY8ObdNtx3DXBFZ2BAR2DSGPehN/5Q7mhJN3JkrOEqWfvd5f0YqRdsngm8soOd1lHo8SHJtdT/LEdvU1zWAUFDnYr2whgxJTB5hj1u1DInGKX+aemkRdPV0n/V0xrOWCI6SxXT542HhgJfPWnD2gk2nPmnLkqVKNjcy2CBVlt6rRiiyIp5QniFZBpeCVZBNcLOGaoayrD9yo79eqj9Yx9noss9mbjySU1FPCgyUlA3ZiLWfFlwih1hqfyaleOA43r1XXpTzFL1Iea5Yw6q0d7Dl0WiXHPMzfV2GxzFDCNGfI2u3OlVjw1+mpd9SCifIYw+gr3bZM2/9CdswWBSrIOK9jHybd0ZMV1DMjf/pxcSIm0bAh0a6krgxXRgySY9n2zy5MlYtcFRVKZKmD0Oly5dWrWOoQHw9ddfRzAhyl0usAQsrVEo6ah6eWkuBSmeG1UNuKg3s9l1rg3+Oxz6vaus7DoInE50hGQSTyoE5Um5I8l6aObhk3ohl0CwcD0tU45JuWMTG4b1suGx4TZ8+GAUZrwehVlvRqF5Hff3hqHc0ZNhrTZVkDBszChEw7Ld1ubJ+c27Y9Ptwc8Bje+ojtGf5LytutayQ8zX5ewFQ/9aCfzokMPYd1TDBr1NnKoeV6F0cHjuSNdWDo/b7AXOZe/mzp1rVs5zFXhUXm97Q8OmPTBbO+ycBJycacM/70fhnfuicHN/WphtyhAUrrCK3TPPPBPyXrtIVO5onff0e7OGZhphuKEEc4Ff+UbDpQ9kotTlGuqP0DD8BQ1v/aCHsJuc/hNY3RyDWm9BbCGbb2TdwffM1+9N8X+vT0O5oyGKofx5wR9GTCMFwa1yZ827W+3b8aMSu233aaCIsyb8xwo9Pz+36J9A5dsZdGhkOX6x9qo/rmG0dM2345xgVahdQzJZKKhDgzTz9fy1jus/6PB1hJ1yR3r37q369ho5lcGCKHde5tuxdG1uRR/Kli6CatH2RrC2GLw80bk8driFZLKCHEvaFzQNGjTQ+0YlWfPuEBDmrnFMVt5Wm6RxwOiRxJh1XxaXyM6i2aC6Q8lauIGKqueCb91ODW3u0DDVHnn1zmRg277sP79s3VGguG7Rb1QtDV+MdozXQx9qKieB/G4vQEMu7xRcik6Pto6CIJv+izZ7meVmzRw7CZgyV18ungB8+sBxlZsTTnkGQvhBj4tR5ZCV/hjm5gmhXFSFxqWu92p45gtNtTFiRWZX6lQBhreeBWzsD6TuzlIJtqBQoZk0Yp7R+4Nu2wf87vyc7VMOn9Bw5FTwF1MxYO4r8/Jdo1S6tQBi7GmR/9jDH33F9u3bkZFgr+ptfzYkaRcYzuv+M9Z8uz5tEVCcPXftsxRPOXLkiF5IyH5/siq0lRWWugv03LW3e+6I1Wt6UPdzKFiBVfAPotzl8lCuEsxjK5vWGf4gEgrnfoNe0/EwkKFLi2//isWJM1rYFlPxRUgmYYghK9AFg3JnFRSXtMxDDpofQlVcLZpWoafn3enLDAsxPGa58c1sDR3v0rDb0rOXIS8skJIdq/Y6Gm6O6BeLK7vacKU9coUPEM9+qWXNt+uEoIJ9LA0y4po4eSUM5Y4PF9aiE3NWaHjyc8c1ffM0ULtiut/OWRD8FZJpwH5eRih4KCl3/67V0PYOzSkUkflAnKdY+GnWGzYcmWbDzklRiD452dzGV7LOjFKxeO/eney/Z4ZVlnFgTYG84i/ljr0jee8ZIcFsxUGKFWEuGUwF2ZeVR/WQTEde+f3XOt6b4iY0k9Evy+yG8UY19JYAgYQ5ijReKIq2Vo4Iq3JnbYHgLq/c8NzRDtC6HlC5TAZq60Ux1XUaFbLD3XMXrIhylwNLly7VS8qX6OlRvp2Vfr3aAUe+VMsX0mMw7pdwUu4sL5JW+Mya6bBoOsxAa+19ePwJJ2VDqWxWW58Ug1HgEQo8o9IfPXfWHDdv8u7SLmi4551M3PyqZsbVU+iXSNDDEb/9E27DjZl8fVxz5KcOu1SfYj54wKYqyZGPpgKLNzgSyyuUzl91Nl/AhriFou1xuAnNTKHHBwl6OYyiIcqzDGDPIQ3XvcBQKv0jY27R8zAFIRRQfVzzoNyxqqYywDEHZ/NmHD9uMdMHIZwPx/2soddDmupTR/hAyjy6Az9HYfprUXjuFhsGdLKZYeKG94Ih9Q0bNvTJebFAiOLUTMRl7jcrPq7fpQUg3y7vSoch62j48lX6Qa55d/rt6POqma7KHVM0Ktoj82YvzxqaSe+wkdoRqCqZ2bZEiC6seq8uX75c5ZTnFqGSmuZIqaCiajRhNwzIzLFftllfPnDM0h4izAqqBDOi3HlizbT2t2vl2cTHHh+2w+8Dmm65HzcVSE4JfQWPFZJWG96zlB1A+mmfKnfKonl+m0pmD5TnjoqQ8dDO5vXe4k/ljoodQ1bI/v37ldfQ27y7/Uc1dP8fm5w61t1xBfDvh8AtffRkSwqpN/4v6z7+XrQbKKbHm5SO/Q91q+q/lxoVbXjuZn2ZY3nlU5rZI4qFaIKtqSnz4ZrUtF9f4XqYPWdBtj1/WBns6mc0vay0asQO9YAoCCFVNAxQxW+8naOsoZmsrhes8IH09jc0/O99TTW6Nh6yV3xuQ8t67n+vjLgwwlWp2OVWQTSvlChRQqUhsL1O+r53nHLv/MFq1YxaJ6+GNhbjsKYfGGGTvsKTfnf/+DDvbv3G7UBRXZOsVfGCMgZc28MRmmktFpa1BUJwyAf2XjQp1l7lkjOnnEYQQ9bRgGl4SQ3W7dKbxRv58gY9LFFN8+ypLOK5Cwyi3Hmk3Omeu7hYoFNTzyfrVo1KmxWw2BzUuUdaaLJhlz5xWYup+Fy5QwZwfoN6veOAXrkyYPl2Hir3gVLucgrNpNfRaCBKhdW1ciXZfUjPrzO8s7znJzxhw+ePRSE+Dri5TyKK2a10vJ9dw16++d0Rd9+h9l6n91gpkmXEidEsN5haILjSuoE9icIWhY27MlXJbVdrJsdw1Fi9/DapVxX47hlb0CmrgpBr0TC7187bfKtQyLs7dELDJQ849ykdPRz47U0bShfP/npZ1t8YG1/KOWtoZsbBL1GssH5Mtq85clLzm+eOc7sZquclNCQa1Rb9Iec4XkbkhDVKpWNjvVm24blzJ+cKgtXbo4Ao/UA9Wul59EN6Ou6lKXM1t8VUmJtnVYICSYfGlheWfnf0SjLnjvTs2TNLnYAVluitdg0d19zDYkCeb48OMpQ7dgkwPJuC7xHlLhvYfFxZ7OJqAPF6DlGnJpw0bN4Jvf1jnZpg0/MVyiy3Nq1MXK5i3+vUqeOz49WuXVv1tbHm3RkP0v6C4RSEzzzdW+YvVKVu3brwNdmFq7Dsclf78wlDkrY6617q3rz+RUe4Us2KwOKPbLh1gOOeL1k0E/dc5Qi9eOsH5/t5/iZHIYZrezi/xypznzzs/Pth8nufIAlRcYUVLU2KtlCKnaEsM7m8VatWqvonH8DUJoWBaa/azAa2ghAK/P7773kKyTRgpIChEAarcnfra5oZJsYHf7aseePuqFxL0a9fv97n+XZOKQgkMxkda25y6pvmS46fcbR7YN+1vBqm/G3EpMJhGBaoiBge1rhYG7rai94dOK4bhAua8+fP42Cio39xV3trDB6XaQaEBXHYFofsOujIW+c2ntRt8Act6jgKwbAdAqHHLrc+riu3ORdTMWCVVaPS6tJNurfcKKhCxS6cK0QHG6Lc5dDQVWFpgeCt10ZNPPQ4ndKF594jwGRLKfhQxHC1KxJXoFmzZj5t3MiHBiX0LMqdP5uZsxCOoUxS8JUq5t09QEsmq2oRht34OlTFyN+g59hQ7jKNmNJc8u5e/sbxAETr7aovbGjdIOv1PjjEYRllw91jp/V7gj2ijibbM6oTl6N316xKf/eWNtzS3/G6W3NWlQzOCb+59fQTmqk+NkY+Assf8960Krf0cDauGZzXIgi5yTrOTd26dfP68zS+UQ6QtWvXmr+RYIFh03/Zc6/KlwIWf2zDdb08+50a+Xb+9NyRQomORndrfJxnbs23a8PI0Dzib+XO89DMgj+uUiQt/e2MCuo0Flxjd2QzV33mkuBrgWAlPs6Gloa9uUhDILqEel6ZOHFitvl21mIqNM5SQbRiFJzj9bOdiFGFVUIy/Ysod9lg9vvwsHm5O4zcJxxweO/Gzwxdz93STZqjT1n6WSBpjc8Fnin0LEVVfC3srMx36JRef/9kx44dfg1VMRL/jSqOJ0+edLI+Z5d3t2iDhpe/0ZdZ/O7/ns0+XIkPSHdeqS+npDmquk3Rq3grYs/NQPXq1d1+no3f2QiePDwseARdbsqd9eGFAo+Ca9U2R57KYMdUIQghwenTp808qZYtW5rFmLzF8KDQkLR48WIEEzTOGfatgZ2QbX6dO6xzp69lHcffqDy6d5O9lZIf8swLupiKP2VddikI1tz4v1cV/PPCho2bgOJ6HlqR2BTVashgyCVZQzOd8+0QVDiHZrZz+i6rVatmzwV1wLSYLXsdMpIKopUeLR2vf/xHU9W1iRRT8S+i3OVQKdNaTIWeCqe+IB5Qrlw5NG7cGDg7X/XIIfSMsBJhqJGeruGuty3nvfd5QEvzi3KnV8zcAGgZfi+qYs23y615fbAIvJxCM6mEGFUrGRPPfAT2nbvhJUelxxdutaG9NdHaDY9eZ0Os3Qk57hfg1DkNP/xtz7AG0Ljc5mxzd8qVtKnqdGzsPbBz8Cp3VG6rGgIpwTkki6Eq7//kuDceGGyTXnZCyMHqeAYdOuhhWXkhmPPuDAMMaeMmEsET5Y5h2JUqVYIvYYqDISO2blqO2pX0CXn9Ls/6krLpOasQM7/Q38VUrLKO4ZL+SD8wQmWN/mvz5s1TBUGM6zDyy5lWUdAN4ResPAoU0o/brEai09xPAyoNoOS3pXq1bcN7WLYEjQsIKlyLqlihEdNVrq3ZrrdDci2mYmDNJ7QafE1ZKvgFUe6yqZC1Zs0aIL4uEFfNjJNmLHeehd7Zhaar2ipsQgU+wBvhiWXj9wOHPvJLHoLpuctMAVL0gdu4h7kIml/z7WhQZYPUUFTurBbNQjE2dLYXBWIs/H+Hgfve0/CfnjutcvKeGJH7/quUs+FWe3hlUoq+jw277dPJuaVo0zTnGIwi8TkXMgg6711MSXMuaNSoERBbFb/Yn2EpyIc5DMiCEHoRKvbm5XnFGs4ZdMqdRXnxJuyQBZSMohKUc/4w3phFVTIyUL3MaTM6YrveHSFHnvtSQ5d7NVQbrOGKJzIxY6GmjLKeeu5o9Gtgj6jIyzOTNf2A0SP+gCkhLPhBGA68evVqMzzyklaO4l0Fnae/fKsjveLSNs7ebtfQzDETNJzTWx6r/PJgK7ZltkOgmCvl3L8np5BM0tZSTMWgViWgmj31/rReXFtRpWxwXXe4I8pdNnH2aWlpzvl2efDaOAm9c46s6IV64ceQgRURjcbTlG+Vz7+iV7Ck1cqea+FLqlSpgooVK5p5dxfTgc16z1KfcvSUZh6nbQO9QSr7nHnTy8mq3DVt6mGp1QKAHuMKFSqYD1tGaKhr3h3Lgn9nz50unqBXesytyIDB49dzW315kqPfKXBiil+v1Ze0sBqg7d47eu0+nqaZPYvuGpQ3w48gBJNylx/PHedno6/ZihUrVMGJYMEwpnKucgq1DqKQTHd5d0U0R7ykJ9EqP+vdLFQExszFwKCnNFQfouGpzzOx66D7z5xOdBT6YO6VMfenpKSo6/e00iTTD4yqov6e+7MLzezV2nd5d3tOOry4/bsUz/L+YEtoJttgBWO+nUHdqqwloC9Hl3S0PKAxw2okNlix1XFPuPPc8XPuqoFKWKZ/EeXOR/l2WZQ7u+eOLFwfWmGZD43TlHeG3D4Q2LP+B7XMnKqSJUv6/PiOoiqWZuY7/ee1M75/VpBiZVD+mQV3cjESzJo1Sy0zl4WVP/0Fx8wQeklJSeqBy13enbUXz6eP2FQ/uuygNZm98wyBX6uyDTdkLaQFHP8pbJS75nUs45GgGzK697wMn9u7pLDS2N2Dgk9gC0Ju8HdsyDqGtuW36rERpUJDklVpDCQpaRo22/ODmtT0rtp1IJQ7s2ImC8EcW+RxnjlD/7buy7r+8Engte+A+iOA4a9VwIc/A3sOaU4hdq4hmbwvaMCit/K6664zQx2zg9u/9tpr5mt/z/3ZpSBc6tTM3LtnrlOnTql8VHecO3cOyVG6ELVpF5xaAVhbAjAEk1jqmaGP4+sNGvisYKQcpWmMUNGrgLZp08YMeXXnuYuP1X9T7rDm3RlIQRX/IsqdB/l2LHGe1ypSTEitVasWkLIVuHjC9NwVdAy4r/hjuYYpc/XlciWBe/ofQGJiol8FnqOoiqO6yRpLqI2vmGtpgMpKqUYFKV7/lVdeiV27dmX7WQqGa665RllAye233+63UJXcQjM5kRv5cgY39AWG9875wefmm29WhVquv/56U8F78gbmmlk2OrsIuHDAryGovsSpEliCnt9xKP0Ss2E5wzErlhHlTgg9OH+x4JLhtctv2GEw5t0xHM/QTbyV4YFQ7hgJY/QU27d5hsfGzJWWVI+7r9L79zE0kNUMDZZtjceDHwK1r9PQ/JZMPDM+E1PmWfPt9O+f4ZWLFumK5eTJkzF69Ogcj/3RRx/h+++/V8tFixbF8OHD4U/oMa5atapaXrhwoR51xfD5GkAlu27y73pHKgfzF5ds1PD0+Ez0eyQTn01nvrljHFatWqWe2Sjr3BkpFizbBhTRNeHyRfZnKShCWPLfCM00aFJLT2cIRqxFVaJL6VVAr7322izbMbfe8PSyenh2rQ2MiplWqjq6JAl+QJQ7N6gfdOGGQGxFs1w7c5XyiiPvbpEZh2xUGwo0DKWwlsp3tXre+65j0ht7tw17dzncWf7ItzNwbYfgj6IqhueO3pnOTTXMnz/fEXl44gQGDBigLHyucDxvuukmFcJpWMDGjnVUTA10uAqt19biQOxnN+7BnO/vuXPnYtKkSabANxTdBtVtGNrTOSSzdOnSehhtGMCm5GzkTirU6YO///4Hn/0a51RIRRAiOSQzmJU7a357yzru5VxubRCY1+UvYxUVO0Ou7t66COVKZpryLqcQyeWWptKdm9rQv6MNP78chQM/25yqExts2A288i3w6fSsnjurnCPvvPOOUuDcwcqoDz30kPmackEZs/2INUqFxlQjqkatt1fNTE4B3vg/4JZXM1Hpag2d79Hw6rd6iwIWiuv7iIZ9R1nZUcPDDz+sol34d8stt2QJMZ71r8Oj17R69m0/rA3Ng7FKppUOjRznOviWN/DFF1+ocXBlpSXfzl1IpgFbKVV28dSJ586/iHLnAi2ZO3fuNL12+cm3yyL0zllDMxFwDh06hJo1a6Jy5cr4+uuvswiP17/XzFh9hvLddFlgrJmm5y79FJC6x2ymzv5F+WHTHk1ZMmctK2JWf7LmGRrNT2nVOnRgJw4fPuy0DS2cV111lWkpNHj11Vcxc+ZMtUxF5+eff85zifH8QCHL79fwRqempprvXdvdZuahfPdszo23eV889dRTTuso0Pft0+OA+PDQsk46cOZv4MgEFZYTLpUjaZk0Qk+OJ5XE/uRm2KTfgqowjbuEckGIpGIqBjVq1FCRKoQP2CyyEUzFVB4e1UPN1wcPZpOAZoGhpZs3bzYLhPhz/rbm3dUsc8YsCnLA3mjcHcs2O67TarirUNqGx4bbsPkbYPYrh/DKHUBHN3oqQ+wa2+c5Vp105f777zdlmgGLzQwZMsTMtXv00UcxePBgBAKrIdOqnFr73bHgzNez2bQ96+f/XgU0vVnDI29udDJMUMY/88wzTtsu2+Jwh17S2m75y8Z7VcYemhms+Xbu7pn9Zytj5MiRpgc5u2Iq7SwKYW55dyWKBk/j9kjBa+XulVdeQb9+/ZTLetiwYeYP4ddff1XWP+aYGX9GpSmjsATjt7t06YJRo0ZleVAOvnw7vU9Ydi7m/Cp3C4Ig746hFBR0R48eVRaqgQMH4sABXaPZulfD63qkhQrteO++i0ppscbW+1O5Y1sJPjzg9Bz1Ou1C/pKkZy3R0OEuTeUg/O/jcuj+P1p5tWzz7awC76677jKLlSxYsAC33XabqRj/8ccfeO6558wJjt4udd4Bwuh3RwXUWvb8f9cCU160YeXnNnRplvOky9+2EapsKG3MO2CoKa+7egUbPhy5HNjQF8hMDpt8O9eiKnRwP/CB4x65/1oRVuFKuMs5p/QDPty1dy6Bnhc4N7TsNBRoNgcpVcdh2XJ75/Bg8Nxp6cg4txrTp09XXjh6mLLzhLHiIr93Qzn1p5xzVe4SsCPX0EyVO2n33LH8f90qWbfhtF2/6kVVCXnJJ1E4PNWGL0bbcGUXPXTx+VttKjqJ+zJkXUJCAh555BEzGoX3tVGNksovfxc0EJNLLrnE6dkgUHIuq3KXdVum2TBkcsITNkx9xdHuJvE88O6sJkCTX4HYSqase++995ScN9h5XJf95No+lXM0DBoVpTnG1lz3YKNsSZvythnVUy9mU2V1peUZiUXmcuISS96deO0CgOYle/bs0dLS0tTyxo0bte7du2unT5/WZsyYod19991uP8PtBwwYoE2dOlVLTU3Vxo0bp40cOVILRp577jnevRo6HNLQLUMr1i9Du3gxM1/7zMzM1CpVqqTBVkhDl0S13xpDMjRfkJGRoe3evVv9nxvDhg3TkNBSQ6W7NdR6Q0PDH7WoNiu0or2T1Tkaf0Me26HVrVtXHxf7X9OmTbX09HTNn1x77bUaSl9hntddb+VtDMf9nKlF9XBcn/Fn656hjXw9Qzt6KlO79TXH+n9WZWrXX3+9ee1LlizRli9frhUuXNhc9+yzz6rfRunSpc11L7/8shZoJkyYYJ7Piy++6PXn+R3zuzb2MXbsWK1KlSrm688++0xt98knn5jrPvroIy2cePfHzCz3SpVrMrQLucwL3vwWheAar3CXcykpKVqhQoXU77VBgwYFss+TZzO1cv1Pmb+R4fdP0wJ5r5xPzdSiL7H/ZlurhqVOf/369dP27dtnbn/q1Cntnnvu0aKiopy2+/HHHzV/smHDBvPYHQa+bY7nCxPdzzd7jzjmp74PZ+Trt7V9+3an8eH2Q4cONdfxOYZj9sgjj5jrKA+OHDmiBZrq1aur84mPj1e/P4O3f8jUOt+dof3vvQztj2WZWmqa8zieSXSW9/yL7npKu/y2HzRAvxfq1KmjJSUlqXsKXVP0bdpvy/WceKxp/2Zq/x3O3zOkP7j+Bcf1r9rq/nwp9/h+8csytIyMzBzvr617HfflZY8Gfk6PNFnnteeOYV6Gu5aWDbrkcysNzwTVQoUKqZCIuLg45fLdsmWLR+ERgcu3q2Dm22WXNOopHCdVNVO7CJzTPYN7jwD7jwbWe7eILRlarQDqjgOqPgqUG4zMIq2RlOYIQSkcdRxT3m6hh6ra8w8YokFLVrRRB9+fFs0z/wCZaWaDUE9LNRuJ1A+Py1Q92Yw0wwEdgdqV9DYB3NWXs4B612uYao/MYL5Vx8bO1kzm0PFc6JUzrHsvvfSS+o6NHDwWXHnyyScRaLKzaHoKr3Hjxo1qmR4LFon5/PPPzfdp2f3vv//MbUi4eu6s3Hu1bukWwpNwl3Nr164126MUREgmLf1Dx2g4nuSIQ/tnQ/mgKaaCRN2LaM0HY5QFvXicz7788kvUr18fH3/8sZmDznBMVkgeOnSoX8+bfTQpZ8j+Lb/mWjHTmm9nDa/LC9YIFcoOynumbHTurPc/oyeay2+//bZ6zft9ypQpZiRLMMg6ph9Yq0M/PMyGRR9H4YMHotC3vS1L2xqmJHz+aCaqnLkbuKB72jNsJTBrxxDEdd0LVHkQu/47gSeeeAJ/LTsL2PR5oVx87iW7eaxB3XKuQh0stLeEWRqeYCuHT2iqNy5pUz/3fn3M82R1dfaB/d81wX/94Uaeyve9/vrrKjyFoV4MP6lbty62bt2KDRs2qAp9zDOiy96Iv2ZhCaMHDmH8OqsbcT17mLnCcAjXeH1WGnQXA1yQcFJXyl3J68x1jBvOruCIN3Tt2lUVolChmfb+eQzNvK5XwSp4xrnmds5s+Hkg8xrA5qLfaxlA2gEg7T8gZRdSDr4HZOoJxVRePvjgAzNMpSDGxRuoVDHsD2fnA6X6Yt9RYMMuDU1r5z6GTKi+4WVghqO6NB6/Hnjxtkzs2XsIM1ZWw8vfRKlmo0bDUdKpMbB/304z/ISCjUotr/2KK65QyeZGQrkR0srfg1FwxN9jlF0eDFsYMPmdgs/T3xF/g2PGjDFfU4Hlgy4bm/LBlQ9ETDpnWKq1XDYfTgJ93QVJ01pZ81Nuv9y5wlp+fotC3seLD5++IlzlHLG2cqGhKr/36EMf6nlLVo5eaIXjp9NRpkTBf0fb92di8bp43Fg1+/O2Fn9Akn5y48aNU4r63XffreZ0Vj6+8847nT5HxerZZ5/FAw88oL4Lf/9+Oce2bt1aGVAP7ZqPIrU0nE+zYe0O97+NZXpqoFnkwt02nv62rMod00m4Pcdg6tSp6jdAI68h58i7776rjH7BMMfxfL/99luzAJihkHrCV199hYMbPgdifkK5TpNwHL3V+jRbZaD220CNFzDu92+w9DjjfPWw2cZVTgfFdRcU1gIpSzdpuPNKZ/lmVfhYedZ67dndX589yhZLvKdzl5eRRKaXsi4vci5Pyh0tGI899v/tnQd4FOX2xs+GDqGjBJASEClyvYIooiDSVHpTUNELooAKtmtDRakixb+KlSIg9+KlNxEFpShFQEGUrggIoYQkJIEkJCHJzv95v9mZnU0jm2ST3cn7e559dnZ2djP7ZWbOnPOd856XVaQScsrGxWjx4sVKJQ+FyCiurVy5sjKCUDAyIlEGeJ1Vo1PcGM+ePdtjHQp3fR1BgxGOjY0VCXHPdtxQ/ZycPJn3wnCzh5BLMRN8+1OctL4+o9pifoCb+exYv2mvSNWearl0UKzMeSVJrquWJn/s3yhvjX7No44E9W6YherVq5f6X588WThSn9gPRfQ3yrkD/1sXI8O7uXTpsyAyNkie+OBa2X9CVzksFqTJhEHR8uDd8YKgesniIvffHibtmgTJ/y2rJEu3Boum6ZGm5vVjZcWKFeZ3QcnM+vsxJoiCI7pp3NDBAYbzjIc/AKcYxwPOQ9ysWnspZceCBQtMxU/j5hbguzB7++2336obJBhSg2uvvdZUGrMTIZVrSXiMfrns1TpO4mOjJT6TwvzcnIsk9+PlS2U+u9q59P3A0K80L9f0hZuD5ZOVuuZ8iWKalNd+k2hnc5GgkjJxxn55/sGMTZ7zwpkLxaTr6JoSd7m67D8RK8/2zvw6++Ov2Kdg/UX8r6YNqVatmnzzzTeqrhKzTlZQdw5bV6NGjUKtl0SQQK/z0qRmxQj5K6K6/B0usu9QmFQs53lDuGUvZs30bJuQ4DA5edKZq3MLWTDGcVGmTBk1VtbjYubMmUoeX90jiUifPn2kS5cuhXY/kB7DPhmzso888kiOPofgjVEnD9G2j0fGSlKZ8zJ3XQX5cX8ZfX2xYJGaT8tuVxsAcFO9OL/57flBlZI4f+tISppDtu9LkZMnz3peM37GrLze17he1Ug5eTLjdY22zjtyOl65sXO5bryF2QsUYSNtCzMDmJmypmWh+BY3fTB6uFAkJCR4zqQkJEjZsmUz/e7HHntMBg4cWOARTTNtzSWmUr6sSNe2NSQ/2pMhgouG37FxyCVME3EUk31/l5e6dctLfoJIAA4Y/E+y8/a//uVvZXzB3U1OyoP36dW+bVr+S+7v20upI6IBN6LSuPBVqJC/Bjq3NG3aVA4d/0akwQfq9Y4/KsukpytnuT2KpDu/JnLMdZ2qUE5kyTiHdG4Jw1/VY7zq1g2ShTeJvHhEZPx8kaQrIq8NqiTPj0T+qtuZSy+Qghs0HJvff/+9imRCiMGfgAFetWqVqf6VWf+a9OCG9LPPPjNfv/vuu+YMoHFs4eY0/W9Fn6bCFJDxFbc2FVnjisuM+lfOztucnovEf8fLjnbOEH4B2GfMxCO9Ljds+V1kjD5Zovj0RYcc2HVEpv/YXL1et6eSvP9qOh3+PDJuoX5dB/M3VJQJwytJ2UzELP807k21VJGE35UNVtkfLhYtWqT+B3DiMQ4TJ070UF0sTPA/mTt3rloupyH9T097vJBcW26y9CSDUOUBl39Rt7pIy5tq5/rcwqycEdS1BvMMcF2HYubQoUPVe//5z3+yPLYLAwQpMEOONOi9e/cqFfCcHNfTp083HXnYStzzYLzaNguTBK22fLLSIbNWJ4lTXI4eSImSPvfdaDtbd3NDXRHz2LkSUrFKXalUXj/G/ggT+cXSfqpLm2ukbg3/vnb7MwUxXnl2W5COZZ2mN0CU06iHql+/vixbtsx8D6lh+AzWZwaMW0EYuPQoNcF09XYlS+bPwOMfiAsmHCbVr638LarXzKUEh1Qqn//5yPh7WR00+L9s+dOdPvRkn1Ie2yISbb2x9yfgTBx6/32Ry2gk2ki2HxC5mOCQylmM4X/Xa3LsrH4c1r5Wb+7arL4j2/G6ranI11MsY+VSyoMhw41e+nHFa2sdmr9hvWHBb3njjTeu+hn0NTIMHiK0qMsxUgiMscINCNKbrMcKnDs7XtzHD9EkKVlT/aNubujIt3ORBMZ42cnORUREyIkTej8PODvFipWUFVv0muPQGvqjSgW3Mm5W/H1Okwfe0iTVlZH9/AOosQmSX6o3kunr/hIpc70cjaglETEOCamaPzYO7Wv++507vSsmziGLNjnkie6ODD1aD/7t2u7yIRFnkvqt6Y8r3Mzj4W907txZ7SuuueePrxMprzeW3nfM4SHvfyRMM1sCoWXP1c6b7M4tqyJk+/btM90O9zBGiwh/BKqdUAFHcBLKnq1bt852e6TlQgXcAMvW3920XpB89mKQDL8nUlr1+kyuVBsmUjpU5NwsuemmkX53ncorrZo6zXYHQ6aInI/Ra1cTLd2eqlUUCa3pyPT64I/Xbn/Gl+Pl1bci1WrdunXqxEHe+oYNG2T37t3SvHlzVc8TE6M3d0RdAlJXjBYAuKhi6hsyxKgxQEQKdTmZ1SEUJnq9nbu/3d3N89fpUqIq4JI+BQBj+pNbh6LAQI+9uFRdwtdxaYt0be929PwdNA5XxHyrnlDq9b27dtoD3HR9usp9I/D1FLdjBzEBFMsjNQeiB1mBtETjpg6GrTBuxvIjJRhRTLB9+3ZTSCErkHYzZYru3eLCg4h2VkydOtUjZaCgmv0WNHDovnsvSF7oz8Jwu1Mk7JwLBG0gMAUnDYIotw7TpFoPTSp20eSfjzml9+tOeeYDp0yYr8nM1RCa0mT7fk05WT1f0yTKlRF5720i055ypbI3v1lKXFypljUJkiWb86/W5vVZbjEsg4+W682nrew7ZhVT0VMyrbN2/g7qOQ3HJPyvdVmKqniKqWR+bcIMAYJ1qEez1kZnV28HJykQsQqIZdavLz3ItImKilLLmIW/+ebM+17d/I968sHL9UR+uUFkZw2plTpDZWLZjVZN3cfQ6m2ovfN07ED/9lcP/JDCx+uZOxTWotAcF1NMKeLGD6pSOEkgvoC6A9Td/Otf/zJTtnBDPG3aNCXIgJtBpNZh2Z+AIVcNuq9/Od/622Xr3NV6Vi1u269J19YFe6J8thI1hHq6QmjpjVKiROBcyDGGqGNJQN1drefNnnX9O2Qcwx9/EznsSlnBLGzj2iny7bcbVXQdaYqGsmX58uXl6NGjmSp+pVcPC0RUQ9F27VRqGdLEUEOUnUIeUjCNG9hHH31Una9ZERwcrGrzoA6KekOoaRIS6NjVzqV37kqH9JB3V2fcBmmPcJDw0NGyVcVbNMZhqkojtbRlnb9kh6tU/Yu1SfLs/XlP34NTaQhi1awmUiU4WQ78XUrtIwKWbf+ZSX87i5hKIDl3RiATwThJOChBjjRxasWUqIqVnw9n3rwcCsbLly9XNYXW/zdmk60zVQbW/nZIUc1pXba/kV4dOjvF6gsXLihbZ6Rfjx8/PtvvhvAO/h+YGRw5svB6+vmSDi1EpThfTnKvQ/+7FjeItGjokFub6H1/SQDgsyYLAcbWrVvzvb9dZn2Q0INFSoSY/T/ajkgr0P4ZMZecWqkOV/S/f3uU9sSwZ7RAo1evXpo4SmrSOlb9jmt6ePZcMXjgLXfflrv6faJVqlQpQ68j4zFixIhM/9ajjz5qbrNt2zYtUJkxY4b5OyZPnpzlduhXVK5cObUd+mCh31dOjq2EhAS/6E/mT/hT37ZAgONVMHTsqCSaNSlWXqvVO9m8Rg6elKYNnZqmdXohTWvwYJpW3OgRl82jYpc01c8qPRMmTNCkxW/mdifO5r1X7J1Pu//uzNVp2nsLzrt7sb7lecwMsfYtK3+7+r3+0IvNG/budffmK9/umN5b7e40LTHJPZY3DXb1Zbs7TTsfFa+9++672q233pqlncP9h7W3n8GxY8fMbTp16qQFKjhOQkJC1O8IDg7WUlJSstz2pZdeMn/z0KFDc3QtwvfHxcVpduaXw07ts1VObfOvTnW/mBN47bZBnzu74ov+dulBZFfNmKSEiyTqPVJ+PiKSfKXgJGL/t0EkOcXVny5igbS6VW9rEEioGgntikjsRvU6Mjad7LWInI1y96qTK+dly4rnTZUvgNk/yJgbBeFQAoPYSHbRTNVnL0Cxptlk1+8O6TuGKAQilej3lRMwjsy1J8S/QQ2X0QOs7I0fyZkLxc2I/dxRDpn1cpB8/16Q/LUwSJI2OOTkUofsnOGQr95xyOevOOSdYQ55ob/IwM4i/dqJfDvVIY3qODLPUolcZL5e7BbnzBVf/+TqyyoijeuIDL5PpOttCVLdpaWFmsHTEW47use4lEO8LOF3lRrrD73YvAHKzFDtBJcj9ClLZFUe0MslJSFRM5fRrmXUy88o9VZrjzeA1kWooTNm7tDmwY4pmUaWirH/SK9G3V1mQMl6xowZahk9KU21zBx8P7JV7EzLxg55spdDlSX5Qg+CFAy8G7M6dy6VTF/U22VVd5d8RWS3NYXEh8BZmf21xZEMnxNwqSrALIBHaqaLtTs9HeTPvxaz0F/CP1cN5JF++fDDD6uUKzQkhloamnAD1NakT+FAaoshVYueOYFYb2eABr3GzQ0K5/F70wPDbxg8pKm88sorBb6fhBDfgTrBS5cuiVTqKJcrPqrWlSsjMufVjAIJxYo5pE51h6rD6XGnQx7v7pBRjzjkvZFBsuDNIFk2IUhaN8vcTkJ4qniMu4XMwo25D2CmpWny2iz3598eihRQvYXNML2bj3J6Zn6lbwPho4Mup0cXU0kMSDuH/4dh69Iu7jbX/+bqnf3rn3DW9eWbG1xRafcGqB1DPfkff/whv//+u+qxayheQ+US66xYA36BWn7gTd0d6mGNdj2DBw9WSqqE2Ak6dy527twpUqmdz+rtMjh3ln53qBcoCGAMzJz9uJ+lZOofASmAAcljyJAboirgm53u91NTNZm1RnNHbsNnK2cFM3PIl+/du7eaiQOIdKLvEUA/O1XjYLNoprXuDsCoQSo6PXB24fQCtEtArREhxGZ2Dj27GrrVfSGEUq9G/gYzcX297aZqIpf0CzMU9w4b6pVesuA7qGSKqQjZR9evUQzrIVLclYgya42eBYMaPDOw5+pvF4jOnYeAWILbGdv7p5ahebkzdqcKzoGRI0eq6zvaGSGoZwi0jBgxwgzyon+jHTNUMqu7Sw9EZT766CPzNXq2EmI36NyJKMl3NUNj6W/X3EcCklDAgqMhl9yywxBVKQg+Tzdrh3SNQJ2NUkbvylmReN1JQVpm+AX99635SeSM7qOIRK8VSQ6Tbt26qcbD6UGKxfPP68IsAEbPUF6zg5hKTlMz8ZvR78fAOiaEEBtlqNSbLFJaT7eGOMJw1+xXfqNURCMX52n2DrNwb811f27ycM8ZRgirID0URMSILP3BkpIZwGIqBp06dVICNap9kou9rgDtz0fc4/LbNrezPmTIkEy/C+I/Rl829GSFWrSRoXLq1Cnz/gRpioFM48aNldgR2LZtW4YsFfTqM1qBoJ1PdoJhhAQqdO7MertGIiVDfFZvZ3UmWrRoIZL4p0iK7oGglsDp9K2Dh/z8L793vUiLV/UQgWrwPCKaltTMb12iYNb2B3JW78GGZrVZ0b9/fyVZDnbs2KFm8KwOEFQgkWYU6GSXroJUzd9+028gELnNTk2TEBKYbNjtFKn5lFouV1pT6ZhBQT4sQYhaKqLpuYOLNupBJG/4bLXIqfP6cpdWmZdLjOzr8GiLsOcPy98IwDYIVipWrCht2rRBXqZI4nG1bt9xPVXVmLkrU8op+3cuNuv00LIjM+C0WdvaIJCJWSxroC/QM1TSZ6kgBdmwawbWIOZzzz1X4PtHSEFA585IVanou/52V0vNjIkTOfR3/jhwMIaLfwxWqZ5RsW4jh4gm5K0VkUuUg6eczAAFNXCqhiDampqpyR+nNNlglCckHROJ/V6uueYaNXOXFYiMvvOOW9p41KhRKoXz5MmT5t8K9GgmgAOLsTCcOWvPo/QGj31sCLEX4ZHxcrzYKPP1lCeDVDNiX4HrpgPiYRf1QNLR03ppQE65GK/J2//VbRguR+8Mz3xf7/wH+lC6+74t/9EqpvKbEiXJLGsj4GrMXamZCYl6QNhwequVws2D86pBTKOXm+HoovUTet/ZqfzgaqmZ+M2bN29Wy0hZve+++wpl/wjxNXTuzOblvq+3yyiqYk3NzNt3Rl/SpP1zmox8X+S1uVWl3bMi1/TUpGp3p9zxlFPemmNNyfw8oKOZoESJEtK5c2eRuF0iKRfUuu9+0SO3nrN2mgwcOFBtnx3du3c3DcJff/2liqztlJKZWUTTKKpHWg76/gHcCD3wwAOFup+EkPwDWSG7DmnSf/RlkdKhal2Nsn/IU719+3fR5Bmp/x6pmRtyPnP38QqRC64m6Q93Evnn9Y4sr2vPWGbvYnWdDJHLhwNWTCXTLBVXCQIwxGNA9N/fmkFKCIZlBxSNjd5uYPTo0bJx40ZbZahkV4Lw4YcfmsvPPPMMFZ6JbSnyRzZmL36GdHAB1NsZqDSLDKIquU/LjIjRHbtf0rUDANGXRHYcFAmL0F+XSj2qHCI4O0qUJOCNnlMkZr16fSlBT+MBDi1J5Pz8HEUz1fYOh4fRQ3qm3aKZWUU00f4AEungqaeeCtg6TEKIDoRF1u3S5Ml3nXJdP01uf1KTrYd14ShJS5Dnuuz3WTpmhrq7qBUizhSzJUJOSxAWb3JvN25I9vv6UCeRKroYpJsAF1MxgOiZErdKcKcXLrOUTCeE6zNvPXr0MDMzsgP2DMFMcObMGTl9+rRt6u0MUEdnCKUZWSpRUVFKUA0g62fQoEGFvJeE+I4i79wdPHhQLjuvK5B6OwNcdFQRb8JeZWjBlt+9r0cAZyI1uesZXSEMoO/P6w9Gy9O9RTq1FLku3bU++dg49fyPf/wj4C/kZkqFpe7OkIbWzi8SSY1WqacqepwDWrZsKQ899JDHOjtFMzOru0NPu88/12dy4dShtx0hJDDZ/KsmA8Y4VdZGl5c1mfmVyDk9sUHHmSxydLj06FwwgT2VpZIaLRKji3ecjnT3q8uOY2c02a+XmMntN4o0qJW9TS5TyiFPpM+8D3AxFWvgUQUyLaIqV3RfWSfu5xwHMQ2mTJmSYdbKTkFMjJkKLGAmNzZWpWPOmjXLVBR9/PHHVWskQuxKkXbukJo2e/bsAq238zB6WqrIJX2GCDNrhoOWU06c1aTtSNSZ6a9rXyvy40ciT3SJk4+eF9WMNmx5kMSvd8ie2Q757/N7RSIW2sLggZo1a6p+PmrmDvUVVs5dXUglMyZNmuQxcwVhETh4dgFRYMhiGxHNL774wmzujpQeQ2WMEBJ4oKn1ks2W+moEqEqKtL0xRoLPvSDyc12pkLxWKQoWBGYJgqWh+X+/u3oQc5W7YkF6t8mZTX6qN8RhLCvi7OHcmXV3V86YImwmUIy+clr1MPWmfgzB5SeeeMJjnV3KDzL7PRs2bJBPP/3UdPzQLoIQO1MknTuIZaC3CRpXfvzxxwVab5fB6F3Qa53A0s05n7mDcEjbZzQ5cU5/3aCWyJaPRLTLf0piYqLHtuXKOKRFI4dcCNtmrrODwQMqoonIsKufEiie9LtI/G7lpKWfibsa9erVU7n4doxmAkRrDaMXExMjb775pvkelcMICWx6uTL+kaI4sLNTnuu8RW6May9bZ1ST+L8+VM4BMhEKqtYIQibXX3+9yIXVukqzKzUzMTl7W7dyq/t9a187A2QcoFbYCnr19XVt60iLVWmM+PsIAgY6HTt21OvG4z2bj8ulX9TTI488ctW68vSMGzdOypUrp5YRwGzVqpXYCavthmAaUlBBz549pX79+oW4Z4T4niLj3KGmaO3atSq61ahRI9XEMi4uTn+zAOvtMjh3qEdwKV1B0TInqZn7jumpmEYvtyZ1RVZPuCgvPN1PKSKiN47Rx8XKr7/qNQi2c+5A9BpzXeqpj8yLeNWqVb3+zrfeekv69u2rxtGODo81ogkHDyCFRc2CEkICljrVHbJmwgV5uvl42fDJdTL9rfay5+ct5vu4Hr7xxhsFuk/K1jkTRKKWm7XRq91xxgycj9bkpwNu23ZDbc+ZO7SqqVOnjnTo0MEjOAVmveyQV/vHiLbvPluIqVhbKKnrtkVURRHvfUqmARzfBQsWqPYJEBqxU4YKgKaAkaVi2DlgR5tOSJF07s6fP68cOhQRr1+vi2+AMmXKSP9BbxZovZ0BjJNqKJpyXoLiflLr/gwTs84gu3YH972kqYatABLQ/zfoV+na8WZT8RBN2VFcbb2ggT179DQVRPhQc2cHEG2sXLmyyNlPpET0AqlfcoVXQiqZgWLr5cuXq0avUHyzG5ml39DgERL4TJ48Wfp0qikTJ45Tds8AN/Bz5syRsLCwAs9GMGqfjOsymL8u6yDmV9sR5Mw4a5ecnKyyKvr162emkiONHrVUBpXLO6RlyGaReH1Gyy7OnRnItIiqKOJ+Vn1JkW6fG3r37q36wA0dOlTsBmanzSC6C9Tf2y0bh5Ai69yhjshIPzBS76ZNm6ZUou7opguMFGS9nYFx4XGeX5zj1EyktBgF8rc2Fuld/2Pp2aW1nDrlKrxzcfjwYWUEr1y5YqaxYJ0R0Qp0MRUDyD/fe++9Is7LknJwkBzfCBl/p5L0v+eeewp79/wSGDjlELtAkKFXr16Fuk+EkLyDWrrU1FS1XKxYMdXWZMuWLbJ3714ZMmSICmgWNO6+rluktOO82bbmbFTmtm7lFktKZluH2Z4GffNUGUU6nn76aVm3bl2GIKYtnTuLqIpqDh+3O9dBzKJAekcO5Tjs4UqKAkXCucPJjJMaaXarV69WhuKll16S4xGV5Y3P3YakQwH39LamZjpEy1FqprW/TYlT/5axo58zjTlaLGzatMlMRUCzzmHDhqnvQ08zQ+7eTgbPo8mrhUcffVQ5fuTqEU0Ul+NGkBAS2CBjAzM5r7/+uqpJW7JkiTrXC/OGFvVNCLah52ja2S/UOpiiBbqApgeXEjTZ6KoegNLzLY1EFi9erFSPjbICBCYhjgHFQwCZ+/79+5t9O+3q3KHpdr2QFJFUfdZSLh+UUsWTVWNycvUsFaQkX60PICF2oUg4dwDRLaTZoQ4LN7LHz2rS7VVNElzaI/3bi7S4oWD3ybzBTgmXysUOqUUoXx7IIjXzt6Oa/KxPvkmJ5APy0/rpahmGG8YczhwuZkhTMfLn58+fLxMmTLCtwQOZqYQxmpk9SMPBeYAbr/SqaYSQwATn9K5du+Ttt99WgmH+AOyTYetSTs/xSM1MH8j8dqdb5r/HHU558sknlfNi1MfDwcHvQ8uW1157Tfr06aPW4/1u3bop0QzD1kFB0g5iKtZx7Nb1PpGjT4rEfC9y7DmVVmnNwiCeIB0Z/fvA2LFjC2XmmpCAcO5gNJAGBydiwIABKuXDALLqmB1DofP06dM9LtzoJ4eL9J133qlmk1AXVpBYI5dRsZ51a21uEpn/uqPAo5tIoTEabSaG/ddcv/QH7aqzdimndFlfNC1FSgr+L8ZMFaKccOoMxowZIx988IH5Gu/bLe0W0Wpr+4KCkvoOVFB/Gh4erlJ17VhXSEheCFQ7B/wx7cysu0s6JvWq6KqFh/4W2fOH53artrnH8nLYQo96OihCwnHDDbuRgfCf//zH7EMKxw7/r+joaNPO+eNY5Dk1M2qpyIH7RC7+yCDmVcAxgpY/sHVsf0CKFJqXnDhxQktOTlbLBw4c0O666y4tJiZG27p1q9a1a1ctLCxMi4yM1Pr376+tXLlSbYft8R5eJyUlaR9//LH2+OOPa4VBQqJTa/1kmiZt9UeTR9K0CxedWmHx4IMPwpppUrKG5mibqvap8cA0zen03Ke4BKdW/l7Xft9xUZNi5bU77rhDO3v2rMd2aWlp2vHjx9XztGnT9O+2PIoXL64lJiZqdmPs2LHmb5wxY0aOP2cdL5I9HCvv4HgF7ngFup3zN44cOWJen0NbTzTt78j33f/rpGS3javcNU2rF9pQbR8UFKTNnTvXwyZaj5Xw8HAtNDQ0g60bPXq0ZjcSEhK0MmXKqN9Xq1YtLTU1NeDOrUCA4+UdHC//Gy+vZ+4gRmI0eUZUDPVekZGR8s0336gUCaSCYDYKUTasA4i2QaERKQTIl0euPGYMjL4jBUVamiYDJ2iy46D+OqSKyLfTHFKlQuFF9xAVVlw5J9eUOqoWj5zSo5pWFm2yNKaNWCSSFqdEYfRahsx58cUXVVqLFahq2U3y2FB7RMrt4MGDGc0khOSJQLZz/gjUqo0ZtxM/T5VSJfT67/9tEEm+os/WbfrVbePuaHRB/j5x1Ozxhmt6VrNwSL9Em6P0GQh2Kz8AZcuWlZkzZ6o0V6ifslaaEJIZxXMrt7xmzRolTYz0EzQpRV81pVroAuuOHTumlo8fPy4NG7obyMG5gHHE+lq1amX4fig8GiqP5o4WL24a29yAzJlnp4us2qq/Di4jsnaKSO1rNXE6c948PL/BmFWsWFEuXrwoF4/NEbluilq/ZJMmYx5z79fM1ZYPhc9S44Z0FEMkxcB4jWekJCBtCIX1hpoYDF76z9gBtC9YuXKl+Tqnv9E6XiR7OFbewfHy/Xj5shl3INo5fwbpqkr0JO2SNKp2WPadu1GiL4ms+UmTvndpstJlm0Hxi2vNZag+Z2fnDOcR7WtQf52SohftNW/e3Jbn3sCBA9UD0M75Bo6Xd3C8fDteubFzuXLuRo0aJS+//LKKVMKwIaJ2+fJlj3YDWE5M1NVK8Gx9z3gfn8mMefPmyezZsz3WQdIZili5ZcbaCvLpKr3wuHgxTT4ZGSGVSybJyZNS6KB+A4Yp+cz/TOdu4fdXZHAHvV7jwN8lZfcfrhm6uD0i8XvkngceUz2LssL63tSpU1VdCG4yHnroITnpDz/az8huLIknHCvv4Hj5brxCQ0N9th+BaOf8GTjIBtGHPxCppP/2mSsvy821I2XlFgjAFJPSJZ3y83cT1XuYmWrZsmWWNst6rOBYQDBzypQpygHHjRNtnSe8FnkHx8s7OF6+Ga/c2Llca8XjoouZo4ULF0rt2rVVugB6qRlg2VAmwrP1PeN9fCYzkIJhRKbyI6J55KTItKXu17Nfccgj91YXfwFqhXDu5MpZqVriiFxIaSxHz5aUBK2uNK0n8s4yy8bhukFEyo9qgp4OGDQcMPifWL19I3WI5Gy8SEY4Vt7B8Qr88QokO+fvwF5BuXDHjh1yev8Xcm33TyXiYgn5YV9Z2Xe6rkRd1Le7reFF2bJRnw2FaA1m4HJ6rEBFEw/i/+eWP8Px8g6Ol/+NV54bgaHHDJqBw7NE/zijrwginQ0aNFDLkFtftsztoSQlJanPYH1mwLjlp4FrGiqyYLQmg9/RZMxghwzu4l8KWpi5g+olajpUamadaWr98h8dUjdEZOEGV3pmWpxI5EKV6gMjmd1Bgfd4kuUcjlfO4Vh5B8cr8McrEOxcoKRmwrkTcUqDCrsk4mIbSU0TGfG+e5uyie4GeJjFpJ3LPzhe3sHx8g6Ol/+Ml1ffGh8fr2q3kGaCAvMNGzbI7t27VWQNEr0rVqxQxuzChQvy5Zdf6rK9rjov1C2ggThqDObOnStNmjTJtA7BVzzc2SH75jnk9UfF70C0Fuk4IPXcYo+WCAs3iMS7evFJxEKRtHi1LU8gQgjJfwLZzvk7Vmft9J63zfXhevcCgT7IgS1TzFlTo48dIYSQnOO1hwDRChgzKFih38/EiRNVMXObNm3k/vvvl0GDBqln9Brr1auX+gyik1B2RGpL+/btZe/evaqxdkHTuG7B97LzJqKpuHJGKhfTO5UfPCEyYb5F7OWc3vPHrjUZhBDiDwSynfNnQkJC5O6771bLYX98J01re6ax3lzvkpw+8buZ0VK1atVC2U9CCAlkvErLDA4OVjK8WYEagqxk6CHBv2jRIu/3sIiAYnOkWyIifPGvOSKh76r1pyNdG8TvFknYK3Xq1JFWrVoV6r4SQohdoZ3zLRD12rRpk1oOcXwnh8Q9O1chRV8PGMQkhJDcwdw+PwGpKkbPO2fEkowbnNVn7RAt9tfZR0IIISQ7+vbtq/oBgkNbxkgJS4j5yPapZqkC+gUSQgjxHjp3fhbRVFw5IxXE1WldiUNfFonUo8GMZhJCCAlUqlSpYvYKDA87KD1vPauW724WLef+3mWmZGI7Qggh3kPnzo9o0aKFaooLLh2fa653hi8QcSaolEzIchNCCCGBilljLiLVLr4tfy9xSPPSk811DGISQkjuoXPnRyDd0py9Ozdbbrj2lIRWixTt5Hi1CiqZTMkkhBASyECExugPuHz5MqlRJUWWLVtipmQaIjWEEEK8h86dv0Y0nQlS+fSD0jDhXyJXzqlVjGYSQgixg2hN9+7d1XJUVJRMmjRJNfUFnTt3ZkomIYTkATp3fkbTpk3lpptuUsu7du1SPZZA3bp15dZbby3kvSOEEELyjpmlIqJaTRgwiEkIIXmDzp2f1yM4nU71zJRMQgghdqFLly5SoUIFtZyWlqaeoaLJlExCCMkbdO783LkzYDSTEEKIXShdurT06ePucWekZFauXLnQ9okQQuwAnTs/JDQ01KNReb169aRly5aFuk+EEEKILwOZDGISQkjeoXMXAPUITMkkhBBiNzp27CjVqlVTy0zJJISQ/IHOnZ/y+OOPyz333KP62r344ouFvTuEEEJIvgKHbvr06dKwYUOZOnWqVKpUqbB3iRBCAp7ihb0DJGup6PXr1xf2bhBCCCE+4+GHH1YPQggh+QNn7gghhBBCCCHEBtC5I4QQQgghhBAbQOeOEEIIIYQQQmwAnTtCCCGEEEIIsQF07gghhBBCCCGkqDl3V65ckXHjxkm3bt2kXbt2MnjwYNm3b596b82aNarxdtu2bc1HeHi4+dmDBw+qhqV33nmnDBs2TM6dO5f/v4YQQgjJA7RzhBBCioxzl5aWJjVr1pQ5c+bI5s2bVaPtF154QS5fvqzev+WWW2Tr1q3mIyQkxDSWr7zyijJ6mzZtkn/+85/y5ptv+uYXEUIIIbmEdo4QQkiRce7KlCkjQ4cOVcYsKChI7r33XtWE9OTJk9l+bs+ePWq73r17S6lSpVSD7sOHD8uZM2fyuv+EEEJIvkE7RwghpMg2MT916pRcunRJateuLX/99Zfs379fOnbsKFWqVJEBAwbI/fffr7Y7fvy4NGzY0Pxc6dKl5brrrlPra9WqleF7EQHFw2NHixeXkiVL5mV3iwROp9PjmWQPxyvncKy8g+Pl+/GC8+VraOf8D55b3sHx8g6Ol3dwvHw7Xrmxc7l27pKSklTKCeoRgoODpUWLFrJ48WIV7Tx06JC89NJLUrlyZWUEExMTpVy5ch6fx2sjzSU98+bNk9mzZ3usQyR1+PDhud3dIgMOgtDQ0MLejYCB45VzOFbewfEK/PGinfNP/PFY8Wc4Xt7B8fIOjpf/jVeunLvU1FQZNWqUimTCGAFrZLJZs2aq7gD1CjB6SHNJSEjw+A68Llu2bKbf/9hjj8nAgQM91jGaSQghpKCgnSOEEBKIeD3Xh2lERDIdDoeMHTtWPWcG1muappbr16+v0lms0dDTp0+r9ZkBA4coqfVBo0cIIaQgoJ0jhBBSZJy7SZMmyYULF2Ty5MmqPsDgp59+kpiYGLV85MgRlbpy1113mepiycnJsnr1alVjMHfuXGnSpEmmdQiEEEJIYUI7RwghJFBxaEbYMQegZ0+PHj2UEpi1wO/DDz+UH374Qb755htVd3DttddK//79VcqKtf/PhAkTJCwsTJo2bSrjx4+XGjVq5P8vIoQQQnIJ7RwhhJAi49wRQgghhBBCCPFPfK8jTQghhBBCCCHE59C5I4QQQgghhBAbQOeOEEIIIYQQQmwAnTtCCCGEEEIIsQF07vyYZcuWqSa3rVq1kpkzZ5rroYGD1926dZO7775bJk6cKCkpKeb7w4YNkzvuuEPatm2rHs8++6yHxLexHo/bb79dBgwYIHbAF+MFSXNs36lTJ9WoGL2v0jcqDlR8MV6Qgp86darce++9arw++eQTsQu5HS8wf/589T5k8x9++GGPY+iLL75Qx1eHDh1k+vTpZt+0QMcX43X8+HEZMWKEtG/fXilaEntAW+cdtHU5h3bOO2jn7GHn6Nz5MdWqVVMXGJwMVtasWSMbN26UefPmydq1a1U/ptmzZ3tsM3r0aNm6dat6QMLb4PXXXzfX43Hbbbdl+P5AxRfjtWTJEtXPCifwV199JdHR0ep77IAvxgsXcDRyXrp0qXrs2rVLVq1aJUV5vHAM7dixQ+bMmSM//vijjBs3TkqUKKHe27ZtmxonjBu2Qx819EmzA74YL/Scu+eee+TFF18s8N9DfAdtnXfQ1uUc2jnvoJ2zh52jc+fHwNtv166dlC9f3mM9TpS+ffuqPkvlypWTQYMGyddff+3190dFRamLEiIHdsAX43X27Flp3bq1VKpUSX0WfwNRFTvgi/HCZxHFqlChglSpUkUeeughdZErquOVlpammlnjJiEkJEQcDoc0bNhQSpYsqd5Hz7Q+ffrIddddp4zEI488otbZAV+MV506daRXr15St27dQvlNxDfQ1nkHbV3OoZ3zDto5e9g5OncBSvop7YiICImPjzdfv/fee2oK/Omnn5ajR49m+h3r16+XG2+8UZ1wdie349W9e3f5/fffVRQT22/evFml99idvBxf1s9i2Q43CLkdLzwnJSXJhg0bVCQOF/uVK1ea2504cUJd1A2uv/56OXbsmNid3I4XKXrQ1nkHbV3OoZ3zDtq5wLFzdO4CEOSBL1++XM6dOydxcXFm6kRiYqJ6Rm440ioQJUAeMF5nljuPyEnXrl3F7uRlvGrXrq0imcitR/5zsWLFpF+/fmJn8jJeiPx++eWXEhsbq6LlixYtMj9XFMfLuJifOnVKjdmUKVNUfcbevXvVNpcvX1ZRPQMsc7yyHi9StKCt8w7aupxDO+cdtHOBZefo3AUgPXv2lM6dO6s8XxSIo5YAObpIDwDNmjWTsmXLSunSpdVUMJb379/v8R2ImiCagqiB3cnLeE2ePFlt+8MPP6hIJi5KKAa2M3kZryFDhqioHIqDH3/8cXWTUL16dSmq41WqVCm1zdChQ9V4IXqJc2779u1qPcbOejOK5TJlyoidyct4kaIFbZ130NblHNo576CdCyw7R+cuAAkKCpLhw4erHG9EJBs0aCCNGzdWkbastk8PPnfnnXeqnHG7k5fxQioG1Ipg6IKDg1XNxi+//CJ2Ji/jhQvVq6++qj6HgumKFStK06ZNpaiOF3LmUSSNnHoD63JoaKgqzLfeiOLzdiYv40WKFrR13kFbl3No57yDdi6w7BydOz8mNTVVSe46nU5VgIllPCMV4PTp0yqfFyfJ+++/ryIAANO/O3fuVLLGkF1F6sClS5dUFMoA37du3TrbFJf7cryaNGmiTkzkR2M6HcuI2NkBX4zX+fPnVZoKvnPfvn0qFQGRzaI6XohOQiobilgYM8wgfP/99+pmEyBVbMWKFerzUNPCeNolfcwX44XP4Htw7FmXSWBDW+cdtHU5h3bOO2jn7GHnHJpdmk3YEPTISC/NO2bMGHWBeeGFFyQyMlKuueYadVExemHExMSo3PCTJ0+qKeAbbrhBnn/+eRUxMEA0btSoUarIHNvYBV+MF4rLka6yZ88e9bp58+Zq7KD4FOj4Yrx2796tvgMXNogXPPPMM9KmTRuxA7kZL+NGYfz48UqtDzUtgwcPVgXUBrgxWLBggTIOvXv3VuNrh9kqX4wXFP2Q7mKlRYsWMmvWrAL6VcQX0NZ5B21dzqGd8w7aOXvYOTp3hBBCCCGEEGIDmJZJCCGEEEIIITaAzh0hhBBCCCGE2AA6d4QQQgghhBBiA+jcEUIIIYQQQogNoHNHCCGEEEIIITaAzh0hhBBCCCGE2AA6d4QQQgghhBBiA+jcEUIIIYQQQogNoHNHSCGze/duadmypXqcPXu2sHeHEEIIyXdo6wgpGOjcEVKAjB07Vhm2YcOGmeuCg4OlWbNm6lGyZMlC3T9CCCEkr9DWEVJ4FC/Ev00IEZHGjRvLF198Udi7QQghhPgM2jpCCgaHpmlaAf0tQoo0PXr0kHPnzmVYP2PGDHnyySfV8ldffSU1a9ZUUc+vv/5aatSoIcOHD5fPPvtM4uPjpWfPnjJixAj55JNP1LaIhD722GNy//33m98XGRkpn376qezYsUNiY2OlevXq6m8PHjxYihdnPIcQQojvoK0jpHDh0U9IAdGoUSNJTExURqhcuXISGhqq1h85ciTLz0RFRcnkyZOlWrVqkpCQIAsXLpSdO3dKRESEMnbnz5+XqVOnyi233KK+D98Nw4b1xt84fvy4MqpnzpyRMWPGFOAvJoQQUtSgrSOkcGHNHSEFxLvvvitt2rQxjR/SU/BAqkpWpKSkyMcffywrVqxQUUkQFhamDN/SpUulVKlS4nQ6Zc+ePeq9JUuWKGNXtWpVWbVqldpuypQp6j1ER/FZQgghxFfQ1hFSuHDmjhA/pkKFCnLzzTer5ZCQEGXMGjRooNJZQOXKlSU8PFyio6PV64MHD6rnCxcuSOfOnT2+CxnYBw4ckNq1axf47yCEEEKygraOkPyDzh0hfgzSTQyKFSuWYZ3D4VDP6UtnrakwVkqXLu3DvSWEEEK8h7aOkPyDzh0hBYhhcJKSknzy/U2bNpXt27cr4zhp0iQz6okahs2bN0v79u198ncJIYQQA9o6QgoPOneEFCD16tVTz4cOHZIBAwZImTJlZOjQofn2/f3795fVq1erIvR+/fqpiCaMHVJcUlNTpXv37vn2twghhJDMoK0jpPCgoAohBQjknTt06KDUv44dO6bqAlAknl+gLmHevHlKDrpixYrqbyQnJ0vz5s3l3//+d779HUIIISQraOsIKTzY544QQgghhBBCbABn7gghhBBCCCHEBtC5I4QQQgghhBAbQOeOEEIIIYQQQmwAnTtCCCGEEEIIsQF07gghhBBCCCHEBtC5I4QQQgghhBAbQOeOEEIIIYQQQmwAnTtCCCGEEEIIsQF07gghhBBCCCHEBtC5I4QQQgghhBAbQOeOEEIIIYQQQmwAnTtCCCGEEEIIkcDn/wGFYj4clnaDkgAAAABJRU5ErkJggg==", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fix, axes = plt.subplots(2, 2, figsize=(9, 6))\n", "for ax, backtest, model_name in zip(\n", " axes.flatten(),\n", " backtest_models,\n", " list(candidates_models.keys()),\n", "):\n", " ts_air[-len(backtest) :].plot(ax=ax, label=\"ground truth\")\n", " backtest.plot(ax=ax, label=model_name)\n", "\n", " ax.set_title(model_name)\n", " ax.set_ylim([250, 650])\n", "plt.tight_layout()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The historical forecasts obtained with the `LinearRegressionModel` and `KalmanForecaster` look quite similar whereas `ExponentialSmoothing` tends to understimate the true values and `RandomForestModel` is failing to capture the peaks. To benefits from the ensemble, we will favor diversity and continue with the `LinearRegressionModel` and `ExponentialSmoothing`.£" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "NaiveEnsemble (v2) MAPE: 4.04297\n" ] }, { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "ensemble = NaiveEnsembleModel(\n", " forecasting_models=[LinearRegressionModel(lags=12), ExponentialSmoothing()]\n", ")\n", "\n", "backtest = ensemble.historical_forecasts(ts_air, start=0.6, forecast_horizon=3)\n", "\n", "ts_air[-len(backtest) :].plot(label=\"series\")\n", "backtest.plot(label=\"prediction\")\n", "plt.ylim([250, 650])\n", "print(\"NaiveEnsemble (v2) MAPE:\", round(mape(backtest, ts_air), 5))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Compared to the individual model MAPE score, 4.64008 for the `LinearRegressionModel` and 4.44874 for the `ExponentialSmoothing`, the ensembling improved the accuracy to 4.04297!\n", "\n", "\n", "### Using covariates & predicting multivariate series\n", "\n", "Depending on the forecasting models used, the `EnsembleModel` can of course also leverage covariates or forecast multivariates series! The covariates will be passed only to the forecasting models supporting them.\n", "\n", "In the example below, the `ExponentialSmoothing` model does not support any covariates whereas the `LinearRegressionModel` model supports `future_covariates`." ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "NaiveEnsemble (w/ future covariates) MAPE: 4.07502\n" ] }, { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "ensemble = NaiveEnsembleModel([\n", " LinearRegressionModel(lags=12, lags_future_covariates=[0]),\n", " ExponentialSmoothing(),\n", "])\n", "\n", "# encoding the months as integer, normalised\n", "future_cov = dt_attr(ts_air.time_index, \"month\", add_length=12) / 12\n", "backtest = ensemble.historical_forecasts(\n", " ts_air, future_covariates=future_cov, start=0.6, forecast_horizon=3\n", ")\n", "\n", "ts_air[-len(backtest) :].plot(label=\"series\")\n", "backtest.plot(label=\"prediction\")\n", "plt.ylim([250, 650])\n", "print(\"NaiveEnsemble (w/ future covariates) MAPE:\", round(mape(backtest, ts_air), 5))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "\n", "\n", "\n", "\n", "### Probabilistic naive ensembling\n", "\n", "Combining models supporting probabilistic forecasts results in a probabilistic `NaiveEnsembleModel`! We can easily tweak the models used above to make them probabilistic and obtain confidence interval in ours forecasts:" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 9, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "ensemble_probabilistic = NaiveEnsembleModel(\n", " forecasting_models=[\n", " LinearRegressionModel(\n", " lags=12,\n", " likelihood=\"quantile\",\n", " quantiles=[0.05, 0.5, 0.95],\n", " ),\n", " ExponentialSmoothing(),\n", " ]\n", ")\n", "\n", "# must pass num_samples > 1 to obtain a probabilistic forecasts\n", "backtest = ensemble_probabilistic.historical_forecasts(\n", " ts_air, start=0.6, forecast_horizon=3, num_samples=100\n", ")\n", "\n", "ts_air[-len(backtest) :].plot(label=\"ground truth\")\n", "backtest.plot(label=\"prediction\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Learned Ensembling\n", "\n", "Ensembling can also be considered as a supervised regression problem: given a set of forecasts (features), find a model that combines them in order to minimise errors on the target. This is what the `RegressionEnsembleModel` does. The main three parameters are:\n", "\n", "* `forecasting_models` is a list of forecasting models whose predictions we want to ensemble.\n", "* `regression_train_n_points` is the number of time steps to use for fitting the \"ensemble regression\" model (i.e., the inner model that combines the forecasts).\n", "* `regression_model` is, optionally, a sklearn-compatible regression model or a Darts `SKLearnModel` to be used for the ensemble regression. If not specified, Darts' `LinearRegressionModel` is used. Using a sklearn model is easy out-of-the-box, but using one of Darts' regression models allows to potentially take arbitrary lags of the individual forecasts as inputs of the regression model.\n", "\n", "Once these elements are in place, a `RegressionEnsembleModel` can be used like a regular forecasting model:" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "RegressionEnsemble (naive) MAPE: 4.85142\n" ] }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "ensemble_model = RegressionEnsembleModel(\n", " forecasting_models=[NaiveSeasonal(K=12), NaiveDrift()],\n", " regression_train_n_points=12,\n", ")\n", "\n", "backtest = ensemble_model.historical_forecasts(ts_air, start=0.6, forecast_horizon=3)\n", "\n", "ts_air.plot()\n", "backtest.plot()\n", "\n", "print(\"RegressionEnsemble (naive) MAPE:\", round(mape(backtest, ts_air), 5))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Compared to the MAPE of 11.87818 obtained at the beginning of the [naive ensembling section](#Naive-ensembling), adding a `LinearRegressionModel` on top of the two naive models does improve the quality of the forecast.\n", "\n", "Now, let's see if we can observe similar gain when the `RegressionEnsemble` forecasting models are not naive:" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "RegressionEnsemble (v2) MAPE: 4.63334\n" ] }, { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "ensemble = RegressionEnsembleModel(\n", " forecasting_models=[LinearRegressionModel(lags=12), ExponentialSmoothing()],\n", " regression_train_n_points=12,\n", ")\n", "\n", "backtest = ensemble.historical_forecasts(ts_air, start=0.6, forecast_horizon=3)\n", "\n", "ts_air.plot(label=\"series\")\n", "backtest.plot(label=\"prediction\")\n", "\n", "print(\"RegressionEnsemble (v2) MAPE:\", round(mape(backtest, ts_air), 5))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Interestingly, even if the MAPE improved compared to the `RegressionEnsemble` relying on naive models (MAPE: 4.85142), it does not outperform the `NaiveEnsemble` using similar forecasting models (MAPE: 4.04297). \n", "\n", "This performance gap is partially caused by the points set aside to train the ensembling `LinearRegression`; the two forecasting models (`LinearRegression` and `ExponentialSmoothing`) cannot access the latest values of the series, which contains a marked upward trend.\n", "\n", "Out of curiosity, we can use the `Ridge` regression model from the sklearn library to ensemble the forecasts:" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "RegressionEnsemble (Ridge) MAPE: 6.46803\n" ] } ], "source": [ "from sklearn.linear_model import Ridge\n", "\n", "ensemble = RegressionEnsembleModel(\n", " forecasting_models=[LinearRegressionModel(lags=12), ExponentialSmoothing()],\n", " regression_train_n_points=12,\n", " regression_model=Ridge(),\n", ")\n", "\n", "backtest = ensemble.historical_forecasts(ts_air, start=0.6, forecast_horizon=3)\n", "\n", "print(\"RegressionEnsemble (Ridge) MAPE:\", round(mape(backtest, ts_air), 5))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "In this particuliar scenario, using a regression model with a regularization term deteriorated the forecasts but there might be other cases where it will improve them.\n", "\n", "### Training using historical forecasts\n", "\n", "When predicting a number of values greater than their `output_chunk_length`, `GlobalForecastingModels` rely on auto-regression (use their own output as input) to forecast values far in the future. However, the quality of the forecasts can considerably decrease as the predicted timestamp get further from the end of the observations. During `RegressionEnsemble`'s regression model training, the forecasting models generate forecasts for timestamps where the ground truth is actually known and available, making it possible to use `historical_forecasts` instead of `predict()`.\n", "\n", "This can be activated with `train_using_historical_forecasts=True`.\n", "\n", "Under the hood, the ensemble model will trigger historical forecasting for each model with `forecast_horizon=model.output_chunk_length`, `stride=model.output_chunk_length`, `last_points_only=False`, and `overlap_end=False` to predict the last `regression_train_n_points` points of the target series." ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "RegressionEnsemble (no hist_fct) MAPE: 5.7016\n", "RegressionEnsemble (hist_fct) MAPE: 5.12017\n" ] } ], "source": [ "# replacing the ExponentialSmoothing (local) with RandomForestModel (global)\n", "ensemble = RegressionEnsembleModel(\n", " forecasting_models=[\n", " LinearRegressionModel(lags=12),\n", " RandomForestModel(lags=12, random_state=0),\n", " ],\n", " regression_train_n_points=12,\n", " train_using_historical_forecasts=False,\n", ")\n", "backtest = ensemble.historical_forecasts(ts_air, start=0.6, forecast_horizon=3)\n", "\n", "ensemble_hist_fct = RegressionEnsembleModel(\n", " forecasting_models=[\n", " LinearRegressionModel(lags=12),\n", " RandomForestModel(lags=12, random_state=0),\n", " ],\n", " regression_train_n_points=12,\n", " train_using_historical_forecasts=True,\n", ")\n", "backtest_hist_fct = ensemble_hist_fct.historical_forecasts(\n", " ts_air, start=0.6, forecast_horizon=3\n", ")\n", "\n", "print(\"RegressionEnsemble (no hist_fct) MAPE:\", round(mape(backtest, ts_air), 5))\n", "print(\"RegressionEnsemble (hist_fct) MAPE:\", round(mape(backtest_hist_fct, ts_air), 5))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "As expected, using historical forecasts with the forecasting models to the train the regression model produces better forecasts.\n", "\n", "### Probabilistic regression ensemble\n", "\n", "In order to be probabilistic, the `RegressionEnsembleModel`, must have a probabilistic ensembling regression model (see table in the README):" ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "RegressionEnsemble (probabilistic) MAPE: 5.15071\n" ] }, { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "ensemble = RegressionEnsembleModel(\n", " forecasting_models=[LinearRegressionModel(lags=12), ExponentialSmoothing()],\n", " regression_train_n_points=12,\n", " regression_model=LinearRegressionModel(\n", " lags_future_covariates=[0], likelihood=\"quantile\", quantiles=[0.05, 0.5, 0.95]\n", " ),\n", ")\n", "\n", "backtest = ensemble.historical_forecasts(\n", " ts_air, start=0.6, forecast_horizon=3, num_samples=100\n", ")\n", "\n", "ts_air[-len(backtest) :].plot(label=\"ground truth\")\n", "backtest.plot(label=\"prediction\")\n", "\n", "print(\"RegressionEnsemble (probabilistic) MAPE:\", round(mape(backtest, ts_air), 5))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Bootstrapping regression ensemble\n", "\n", "When the forecasting models of a `RegressionEnsembleModel` are probabilistic, the samples dimension of their forecasts is reduced and used as covariates for the ensembling regression. Since the ensembling regression model is deterministic, the generated forecasts is deterministic as well." ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "RegressionEnsemble (bootstrap) MAPE: 5.10138\n" ] }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "ensemble = RegressionEnsembleModel(\n", " forecasting_models=[\n", " LinearRegressionModel(\n", " lags=12, likelihood=\"quantile\", quantiles=[0.05, 0.5, 0.95]\n", " ),\n", " ExponentialSmoothing(),\n", " ],\n", " regression_train_n_points=12,\n", " regression_train_num_samples=100,\n", " regression_train_samples_reduction=\"median\",\n", ")\n", "\n", "backtest = ensemble.historical_forecasts(ts_air, start=0.6, forecast_horizon=3)\n", "\n", "ts_air[-len(backtest) :].plot(label=\"ground truth\")\n", "backtest.plot(label=\"prediction\")\n", "\n", "print(\"RegressionEnsemble (bootstrap) MAPE:\", round(mape(backtest, ts_air), 5))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Pre-trained Ensembling\n", "\n", "As both `NaiveEnsembleModel` and `RegressionEnsembleModel` accept `GlobalForecastingModel` as forecasting models, they can be used to ensemble pre-trained deep learning and regression models. Note that this functionnality is only supported if all the ensembled forecasting models are instances from the `GlobalForecastingModel` class and are already trained when creating the ensemble.\n", "\n", "**Disclaimer** : Be careful not to pre-train the models with data used during validation as this would introduce considerable bias.\n", "\n", "**Note** : The parameters for the `TCNModel` is heavily inspired from the [TCNModel example notebook](https://unit8co.github.io/darts/examples/05-TCN-examples.html)." ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [ { "data": { "application/vnd.jupyter.widget-view+json": { "model_id": "d82f5c867b554138942e6195b2cc9d78", "version_major": 2, "version_minor": 0 }, "text/plain": [ "Training: 0it [00:00, ?it/s]" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/plain": [ "TCNModel(kernel_size=5, num_filters=3, num_layers=None, dilation_base=2, weight_norm=True, dropout=0.2, input_chunk_length=24, output_chunk_length=12, n_epochs=500, random_state=0)" ] }, "execution_count": 16, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# holding out values for validation\n", "train, val = ts_air.split_after(0.8)\n", "\n", "# scaling the target\n", "scaler = Scaler()\n", "train = scaler.fit_transform(train)\n", "val = scaler.transform(val)\n", "\n", "# use the month as a covariate\n", "month_series = dt_attr(ts_air.time_index, attribute=\"month\", one_hot=True)\n", "scaler_month = Scaler()\n", "month_series = scaler_month.fit_transform(month_series)\n", "\n", "# training a regular linear regression, without any covariates\n", "linreg_model = LinearRegressionModel(lags=24)\n", "linreg_model.fit(train)\n", "\n", "# instanciating a TCN model with parameters optimized for the AirPassenger dataset\n", "tcn_model = TCNModel(\n", " input_chunk_length=24,\n", " output_chunk_length=12,\n", " n_epochs=500,\n", " dilation_base=2,\n", " weight_norm=True,\n", " kernel_size=5,\n", " num_filters=3,\n", " random_state=0,\n", ")\n", "tcn_model.fit(train, past_covariates=month_series)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "As a sanity check, we will look at the forecast of the model taken individually:" ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# individual model forecasts\n", "pred_linreg = linreg_model.predict(24)\n", "pred_tcn = tcn_model.predict(24, verbose=False)\n", "\n", "# scaling them back\n", "pred_linreg_rescaled = scaler.inverse_transform(pred_linreg)\n", "pred_tcn_rescaled = scaler.inverse_transform(pred_tcn)\n", "\n", "# plotting\n", "ts_air[-24:].plot(label=\"ground truth\")\n", "pred_linreg_rescaled.plot(label=\"LinearRegressionModel\")\n", "pred_tcn_rescaled.plot(label=\"TCNModel\")\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now that we have a good idea of the individual performance of each of these models, we can ensemble them. We must make sure to set `train_forecasting_models=False` or the ensemble will need to be fitted before being able to call `predict()`.\n", "\n", "**Advice** : Use the `save()` method to export your model and keep a copy of your weights." ] }, { "cell_type": "code", "execution_count": 18, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "LinearRegression MAPE: 3.91311\n", "TCNModel MAPE: 4.70491\n", "NaiveEnsemble (pre-trained) MAPE: 3.82837\n", "RegressionEnsemble (pre-trained) MAPE: 3.61749\n" ] }, { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "naive_ensemble = NaiveEnsembleModel(\n", " forecasting_models=[tcn_model, linreg_model], train_forecasting_models=False\n", ")\n", "# NaiveEnsemble initialized with pre-trained models can call predict() directly,\n", "# the `series` argument must however be provided\n", "pred_naive = naive_ensemble.predict(len(val), train)\n", "\n", "pretrain_ensemble = RegressionEnsembleModel(\n", " forecasting_models=[tcn_model, linreg_model],\n", " regression_train_n_points=24,\n", " train_forecasting_models=False,\n", " train_using_historical_forecasts=False,\n", ")\n", "# RegressionEnsemble must train the ensemble model, even if the forecasting models are already trained\n", "pretrain_ensemble.fit(train)\n", "pred_ens = pretrain_ensemble.predict(len(val))\n", "\n", "# scaling back the predictions\n", "pred_naive_rescaled = scaler.inverse_transform(pred_naive)\n", "pred_ens_rescaled = scaler.inverse_transform(pred_ens)\n", "\n", "# plotting\n", "plt.figure(figsize=(8, 5))\n", "scaler.inverse_transform(val).plot(label=\"ground truth\")\n", "pred_naive_rescaled.plot(label=\"pre-trained NaiveEnsemble\")\n", "pred_ens_rescaled.plot(label=\"pre-trained RegressionEnsemble\")\n", "plt.ylim([250, 650])\n", "\n", "# MAPE\n", "print(\"LinearRegression MAPE:\", round(mape(pred_linreg_rescaled, ts_air), 5))\n", "print(\"TCNModel MAPE:\", round(mape(pred_tcn_rescaled, ts_air), 5))\n", "print(\"NaiveEnsemble (pre-trained) MAPE:\", round(mape(pred_naive_rescaled, ts_air), 5))\n", "print(\n", " \"RegressionEnsemble (pre-trained) MAPE:\", round(mape(pred_ens_rescaled, ts_air), 5)\n", ")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Conclusion\n", "\n", "Ensembling pre-trained `LinearRegression` and `TCNModel` models allowed us to out-perform single models and training a linear regression on top of these two models forecasts further improved the MAPE score.\n", "\n", "If the gains remain limited on this small dataset, ensembling is a powerful technique that can yield impressive results and was notably used by the winners of the 4th edition of the Makridakis Competition ([website](https://mofc.unic.ac.cy/history-of-competitions/), [github repository](https://github.com/Mcompetitions/))." ] }, { "cell_type": "markdown", "metadata": {}, "source": [] } ], "metadata": { "kernelspec": { "display_name": "dartsv4", "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": "3.10.16" } }, "nbformat": 4, "nbformat_minor": 4 }