{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Regression and forecasting with sktime-dl\n", "[Github](https://github.com/sktime/sktime-dl)\n", "\n", "In this notebook, we use sktime-dl to perform regression and forecasting on univariate time series data by deep learning.\n", "\n", "See [sktime](https://github.com/alan-turing-institute/sktime/blob/master/examples/forecasting.ipynb) for the same forecasting performed using time series algorithms." ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "import warnings\n", "import numpy as np\n", "import matplotlib.pyplot as plt\n", "import seaborn as sns\n", "import pandas as pd\n", "\n", "from sklearn.metrics import mean_squared_error\n", "from sklearn.model_selection import GridSearchCV\n", "\n", "from sktime.datasets import load_shampoo_sales, load_italy_power_demand\n", "from sktime.forecasting.compose import RecursiveTimeSeriesRegressionForecaster\n", "from sktime.forecasting.model_selection import temporal_train_test_split\n", "\n", "from sktime_dl.deeplearning import CNNRegressor, MLPRegressor\n", "\n", "sns.set_style('whitegrid') " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Regression\n", "First, we create a dataset of regression values against time series data samples." ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "X_train, y_train = load_italy_power_demand(split='train', return_X_y=True)\n", "X_test, y_test = load_italy_power_demand(split='test', return_X_y=True)\n", "\n", "# Create some regression values. \n", "# Make the value y equal to the sum of the X values at time-steps 1 and 10.\n", "y_train = np.zeros(len(y_train))\n", "for i in range(len(X_train)):\n", " y_train[i] = X_train.iloc[i].iloc[0].iloc[1]\n", " y_train[i] = y_train[i] + X_train.iloc[i].iloc[0].iloc[10]\n", "y_test = np.zeros(len(y_test))\n", "for i in range(len(X_test)):\n", " y_test[i] = X_test.iloc[i].iloc[0].iloc[1]\n", " y_test[i] = y_test[i] + X_test.iloc[i].iloc[0].iloc[10]" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Plot the dataset's regression values" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(1, figsize=plt.figaspect(.4))\n", "ax_train = np.arange(len(y_train))\n", "ax_test = np.arange(len(y_train), len(y_train)+len(y_test))\n", "plt.scatter(ax_train, y_train, marker='.',label=\"train\")\n", "plt.scatter(ax_test, y_test, marker='1', label=\"test\")\n", "plt.title('Regression values')\n", "ax.set(ylabel='y value')\n", "ax.set_xlabel('Sample number')\n", "plt.legend();" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Train and test a deep learning model\n", "Here, we choose use the CNN (convolutional neural network) model. Other regressors provided by sktime-dl include MLP, ResNet and InceptionTime." ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Regression score: 0.8288660084374327\n" ] } ], "source": [ "estimator = CNNRegressor(nb_epochs=400, kernel_size=7, verbose=False)\n", "estimator.fit(X_train, y_train)\n", "y_predict = estimator.predict(X_test)\n", "print('Regression score:', estimator.score(X_test, y_test))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Plot the result" ] }, { "cell_type": "code", "execution_count": 20, "metadata": {}, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAmkAAAEWCAYAAAA97QBbAAAABHNCSVQICAgIfAhkiAAAAAlwSFlzAAALEgAACxIB0t1+/AAAADh0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uMy4xLjIsIGh0dHA6Ly9tYXRwbG90bGliLm9yZy8li6FKAAAgAElEQVR4nOydd3hUVfrHP+mVECAQSgKEdghIERQBwb4WcLGBLq4rFnTdtWFd6yq6trUC+sNVEUFBQVFBxHUFFYLSpJd4CD0JEEIK6WWS+f1xZyYzk5lkkkwySXg/z8ND5tx7zzn33IH7zduOn9lsRhAEQRAEQWhe+Pt6AoIgCIIgCEJ1RKQJgiAIgiA0Q0SkCYIgCIIgNENEpAmCIAiCIDRDRKQJgiAIgiA0Q0SkCYIgCIIgNENEpAmCUGeUUseVUmN8PY/TGaVUiFKqQCnV1ddzsaKUulwptc/X8xCE1kKgrycgCIJnKKUK7D6GA6VAheXzX7XWC+rZ73rgba31Jw2coqu+Q4FiIF5rnebt/hsyjlLqLuBtoASoBPYBj2utv2+seXoTrXUpEOnreQiC0HiIJU0QWgha60jrH+AI8Ee7tnoJNIGfLesZDcwDPldKRXh7EKWU/EIsCEKdkf84BKGVoJQKAJ4AbgWigO+Bu7XWuRbhMQe4FOOXMw1cDjwFnA18oJR6F/iP1vohF33fDjwDhAH/djp2LvAGoIAiYBHwiNbaBKyxnKaVUmbgJuAXYD5wFhAAJAF3aa2PWfq7A3gS6ABkAv/QWn9uOfZX4EGgI7AOuFNrne5qHK31156unda6Uin1MfAW0AvYaRlvLPCa5d4OAPdqrX+xHOuLIewGWe7pMBCgtZ6qlOoP7AL+BvwTSAYuraU/l/dt6esDyzhlwHda65udrYdKqfYYlsE/AAXAbOBVrbXZYjWcBOwGbgayMKyvK53XQin1DNBXa32TXdt/gFNa60ctz+ABoBuQAbyotf7QRT/VrJtKqc+AXVrrf1k+XwNMB7pb1vyvWus9lmNPA38HIoB0jGed5P4pCkLrQyxpgtB6eBhDhI0B4oBy4E3LsakYv5R1A2KAe4AyiyDbBEy1WORcCbQzMcTLDZZ+e1r6sFJu6a8DMBb4o2U8gPOs3Vj6/xrj/513MV7MCZbjb1rGage8ClystW5juZddlmM3ANMs/ccCW4FP3I1jidnKVUqdVdvCWSxdt2K4Pq2CoifwNYZwao8haL9WSrVTSvkBi4GfLPf9MoYAtScAOAdDkF1VS39u7xt4yXJdtGXN/uPmNt4FgjDW9A8YAvFGu+PnAb9Z5vs2hvBzxaeW+YZZ1iEImAgstBw/BlyB8YvAXcA7SqmBbvpyi1JqJPB/GOveAfgYYz0ClVJDLO1DgbbAeCzPRRBOJ8SSJgith7swLEhHAZRS04HdSqnbMIRUR6C31noXhjDzlEnAEq31Oku/T2AIAAC01hvtzt2vlPoAOB9DNFRDa50BLLV8LFZKvQR85XTaGUqpdMu9HLW7v39prffa3V+RUioWOOVinFIMYVMT5yulcjGsNWXAZK11juXYFOBLO2vTCqXUHgwhvBXoD4zUWpcBPyulvnPR/z+11kWW+dbU3/9quO9yDGHc2WJt/MV5EKVUCHAdhgWsANinlHoL+AtgdYVrrfV8y/nzgDeUUtFa61ynddurlNIYYngxhsU1Q2u9zXJ8md3pK5VSqzFE5W4X918Tf8WIhdxs+fyeUupJYDiGJTAMGABkaa0P1LFvQWgViEgThFaAxbITj/HiN9sd8sewUswBOgNfKKUiMdyNT2utK6p1Vp2uQKr1g9b6lFLKJoqUUgOA14FhGC/WQFwICbvz2wAzgEuoElFhlr5zlFJ/xnBpzlNKrQEe1FrvA3oA7yql3rHrzoRh3asm0jxktdb6EqVUFIbr8lwMqxWW8SYrpSbZnR+EsR4ZQKZFCFpJBdrYfa60Cuba+qvlvh8Ange2KqVOAP92keTRGeNZH7FrO4xhObVy3O7nIsvfkYCDSLOwEJiMIdJupErooZSagGEF7GMZMxzDZV1XegDXK6UesWsLBrpprb9USj0GvAD0twjgBy0CXxBOG0SkCUIrwBJ3lA5ca2eZcOafwD+VUr0w4tV2Y7x8zW7Ot3IMQwACoJRqi+GCsvI+8DMwSWtdYHm5XmI55qrvxzCE1dla6wyL22ut3b18C3yrlArHiH+bjeG+S8WIdVvi3KHFklRvtNZ5lritfUqpuZa4qFTgA631vS7GU0BHpVSInVCLx1HwON+72/4sc3B535aYu9ssQvx84H8WEXfC7vLjGBmq3TFi3bD8nO7hEjizCPiXUqobhkXtCQBLbOPnGO7P77TWJqXUfwE/F32UYVgBw+3aOlPlxk0FvtVav+5qAlrreRiCNRrjl4x/AXfU834EoUUiIk0QWg/vAi8rpW7TWqcqpToB52itv1FKXYLhPvsdyMOwQFVarsvACJZ3x2JgtVJqNrAN42VZaXe8DUZQeYElNukO4CAYLkeL1a0XVTFFbTAsOblKqRgMqwwAFlEwFCPWqxTD7WUd613gKaXULq21tsRxXaS1XuJmnDphEYzzgKcxrEjzgF+VUl9jiNBgYDSGuN2LkXzxlFLqOWAUhlvwsxqGqKm/AHf3bYnFS9JaH7W4ZqGq9Ip17qVKqa+AFy1JHp2B+zGSPeqzFulKqQ3AR8BOrfVBy6EwDOvfCaDSYlW7ADuRbddHpVJqJ/BnyxqNx1gnq7v3PWCBxV26GcPlfJHleE8M9/x6jOSDYhy/c4JwWiCJA4LQevg3xgvuR6VUPvArhgsSDLfXUiAfw5KxAsNaAkbQ/s1KqRyl1L9xQmu9FXgI+AJDAB0BTtqd8gAwVRl13N6x69fKPzFKW+RaXuqvYSQeZGG83FfYnRuAYWk7bjl+NkZSAlrrTzEC3r9USuVhCMY/uBtHVRV7PbvmZXPgDeA6pZSyxEFdh5F9eBLDfXg/4K+1NmMkUlwC5GBYmj7HEFguqam/mu4bQ9hstqzv51RltDrzV8vfh4EfMRIDGlKaZSHG/VkTBtBan8RIUPnGMs+rcXx+ztyDsU45lnOX2/X1C3AfRiJELobwvRHDAhmG4UI/iWHJjcQQz4JwWuFnNtfm6RAEQRBqQym1FFivtX7J13MRBKF1IO5OQRCEeqCUOgfDVXwEw5V3OfC4TyclCEKrQkSaIAhC/YgDlgDtMILgb7MWYhUEQfAG4u4UBEEQBEFohkjigCAIgiAIQjOk1bk7t23bZg4JqblkUmlpKbWdI3iGrKV3kfX0HrKW3kXW03vIWnqXlr6eRUVFJ4cPH97R1bFWJ9JCQkJITEys8Zzk5ORazxE8Q9bSu8h6eg9ZS+8i6+k9ZC29S0tfz82bNx92d0zcnYIgCIIgCM0QEWmCIAiCIAjNEBFpgiAIgiAIzZBWF5PmivLyctLS0igpKbF9Tk5O9vGsWiahoaHExcURFBTk66kIgiAIQqvmtBBpaWlptGnThp49e+Ln50dxcTFhYWG+nlaLw2w2k5WVRVpaGgkJCb6ejiAIgiC0ak4Ld2dJSQkdOnTAz8/P11Np0fj5+dGhQwebRVIQBEEQhMbjtBBpgAg0LyHrKAiCIAhNw2kj0gRBEARBEGokaxP8dwTk7vL1TAARaU1GXl4eCxYs8PU0BEEQBEGwp6IENtwBC/3g+xGQvQkOLfT1rAARaU1GXl4en376abV2k8nkg9kIgiAIwmnO8R8NYbYoDPZ/UNV+4fcw9EXfzcuO0yK7sznw+uuvc+TIEa666ioCAwMJCQkhKiqKgwcPMmfOHO666y6WL18OwJw5cygqKuLee+/lyJEjTJ8+nZycHEJDQ3n++efp3bu3j+9GEARBEFog5fmw/jZI/cKxvdctcNb/QWDzqvxw+om0A/MJ3vcB+HvRiNjrNuh1c42nPPTQQ6SkpLB06VI2bNjAX//6V7755hvi4+NJS0tze93TTz/N9OnT6dmzJ9u3b2f69OnMnz/fe3MXBEEQhNZO6leQdK1jm18gXLIGOo7yzZw84PQTac2EQYMGER8fX+M5hYWFbN26lfvvv9/WVlZW1thTEwRBEISWT2kWrL0eMn50bO//IAx9Gfybf1F2n4k0pVQ8MB+IBczAe1rrGU7n+AEzgHFAEXCL1npLgwbudTNlXSb5vJhteHi47efAwEAqKyttn0tLSwGjeGxUVBRLly5t8vkJgiAIQovkwEew/lbHttBOcNEqiD7DJ1OqL75MHDABD2mtBwAjgbuVUgOczrkC6Gv5cycwu2mn6D0iIiIoLCx0eaxDhw5kZWWRk5NDWVkZP//8MwCRkZHExcXx3XffAYZo+/3335tqyoIgCILQMihKh++GG4kA9gJt0HMwuQKuzWhxAg18aEnTWh8Djll+zldKJQPdgD12p10FzNdam4H1SqlopVQXy7Utinbt2jFs2DCuvPJKQkJCiImJsR0LCgri7rvvZtKkScTGxtKrVy/bsVdffZVnn32W2bNnYzKZGDduHP379/fFLQiCIAhC88FsBv0WiVsfhK127W36wYXfQWQvt5e2FJpFTJpSqidwJrDB6VA3INXuc5qlrcWJNDAyPN1x8803c/PN1ZMP4uPjmTNnTmNOSxAEQRBaDnkp8NOlUHjIsf2st6Hv36EV7Yzjc5GmlIoElgDTtNZ5De2vtLSU5ORkh7by8nKKi4ttn81ms8NnoW6Ul5fb1rikpKTaegv1R9bTe8haehdZT+8ha1kPzBV0PPYOMRnvOjQXhQ9hf9d/E9gmHiqAVhYS5FORppQKwhBoC7TWX7o4JR2wT4GMs7S5JSQkhMTERIe25ORkh0SB4uJinycOtGSCgoJsa5ycnFxtvYX6I+vpPWQtvYusp/eQtawDOdtg5YVQnuvYPuoTSPgz4UBgC1/PzZs3uz3my+xOP2AOkKy1fsPNacuAe5RSnwHnAKdaYjyaIAiCIAgeUlEGWx+CvW87tne5HM5dCMHtfDMvH+BLS9q5wF+AnUqpbZa2J4DuAFrrd4EVGOU39mGU4LjVRT+CIAiCILR0TiTByvOqt5//DXS7sunn0wzwZXbnWqDG6D5LVufdTTMjQRAEQRCaFFORsbn5YacNzXtMhnPeh8AI38yrmeDzxAFBEARBEE4z0lfA6vHV2y/+GWLPb/LpNFd8WcxWaABnnnkmABkZGdx33301nvvRRx/VOZvVur+oIAiCIHiFslz4ebxRcNZeoPX9O9xQCjeaRaA5IZa0ZkRFRQUBAQF1uiY2NpaZM2fWeM78+fOZMGGCZLQKgiAITc+hhfDrnx3bgqLg4p+g/TDfzKmFICLNDanZRXyxOY2Jw+OIbx9e+wW1kJaWxtSpUxk4cCB79uyhb9++vPLKK4wfP54rrriCX3/9lalTpzJo0CCmT59OTk4OoaGhPP/88/Tu3ZvU1FQefvhhioqKuOiiixz6veuuu1i+fDkVFRW89tprJCUl4efnx/XXX4/ZbObEiRNMmTKF6OhoPv74Y9auXcusWbMoKysjPj6el156iYiICNasWcOLL75IWFgYw4cPb/A9C4IgCKcpxcdhzTWQtd6xfeCTMGg6+NfNIHG6IiLNDWk5xcxYlcLIXh28ItIADh48yAsvvMDw4cN5/PHHWbjQCJSMjo7mq6++AmDKlClMnz6dnj17sn37dqZPn878+fN54YUXmDx5MldffTULFixw2f+iRYtIT0/n66+/JjAwkNzcXKKjo/noo4+YN28e7du3Jzs7m9mzZzN37lzCw8N57733mDt3LnfccQdPP/008+bNo0ePHkybNs0r9ywIgiCcJpjNkPJ/8Ns9ju0RPeDC7yFK+WZeLRgRaW4wm80Of3uDLl262CxUEyZM4OOPPwZg3LhxABQWFrJ161buv/9+2zVlZWUAbN26lVmzZgFw1VVX8dprr1Xrf926dfzpT38iMNB4rNHR0dXO2b59O/v27WPy5MmAsXvA0KFDOXDgAHFxcfTs2dM2v8WLF3vjtgVBEITWTMFB+Hkc5DlV+z/zNej/YKvapqmpEZHmgpSMfB7+fDsAD3++nXm3jaBvbJsG9+vn9EW1frbGipnNZqKioli6dKlH19cHs9nMueeeyxtvONYPli1KBEEQBI8xV8Lul2DHU47t7YbCecsgIt71dUKdkOxOJzLyShg/ay2FZRWM7t2BwrIKxs9aS0ZeSYP7Pnr0KFu3bgVg+fLl1eK+IiMjiYuL47vvvgMMQfW7ZR+yM888k2+//RaAZcuWuex/9OjRLFq0CJPJBEBurrGNRkREBIWFhQAMHTqULVu2cPjwYQCKioo4ePAgvXr1Ij09nSNHjgDYxhIEQRAEG7m74cvO8GmAo0A75wMjO/OKrSLQvIhY0pyIjQrlxWsGcYHqSExkCCcLSlmtM4mNCm1w3wkJCSxYsIAnnniCPn36MHnyZD755BOHc1599VWeffZZZs+ejclkYty4cfTv358nn3yShx9+mA8++MAhccCeSZMmcejQISZMmEBgYCDXX389N910E9dffz1Tp06lU6dOfPzxx7z00ks8+OCDNlfqtGnTSEhI4LnnnuPOO++0JQ5YhZ0gCIJwGlNpgm2Pwe+vO7bHXgjnLoLQjr6Z12mAnzdjrpoDycnJZlcbrNu3+WKDdfsszJaO/XrKRsHeRdbTe8haehdZT+/RYtby5AZjm6bKMsf2MV9A9+t8MycXtJj1dMPmzZs3Dx8+/CxXx8SSJgiCIAiCQUUJbLobDnzo2B5/LYyca9Q3E5oMEWlNRFxcXKuwogmCIAiNj7drddbK8ZXw4x+qt1/0A3S+pPHHF1xy2og0s9nslezI053W5h4XBEFojjRGrc5qlOfBulsg7SvH9t63w1lvQ0DDY7GFhnFaiLTQ0FCysrLo0KGDCLUGYDabycrKIjRU/uEKgiA0Jo1Rq9PGkSWwdqJjm38IXLIaYs7x/nhCvTktRFpcXBxpaWlkZmYCRgHXoKAgH8+qZRIaGkpcXJyvpyEIgtBqaZRanSUnYe0kOPGzY3viwzDkJfA/LeRAi+O0eCpBQUEkJCTYPrf0TBBBEAShdWKt1RkWFMDo3h3YfTSP8bPWkvTohfUrBbV/DmyY6tgW2hkuWgnRA70zaaHROC1EmiAIgiC0BLxSq7MwFVb/EXK3O7YPeQEGPAZ+Use+pSAiTRAEQRCaEROHV4WUxESGcN1wD0JMzGaj2OzWRxzbo/rDBSsgMsH1dUKzRkSaIAiCILRU8jT8eCkUHXFsP/v/oM9dsrl5C0dEmiAIgiC0JCorYOc/YfeLju0xo2HsEgjr7Jt5CV5HRJogCIIgNCPcFrLN3gIrLwBTvuMFoxdCz8kN799HNLf5NCckelAQBEEQmhHWQrZpOcVQUQab/g4L/eC/w6sEWtfxMDEHbjTXSaBV699HpGYX8eYPe0nNLmoW82muiCVNEARBEJoRZrOZERG7GLXhStjgdPD8b6HbuAb3b/+3L7DfUaE5zKe5IpY0QRAEQWgE7K1FHmEqJH/VREZv7Mji3o9Vtfe8Ca4vNKxmDRRozoVyUzLya7micbAKstTswmYxH3vq/NwaEZ+KNKXUh0qpE0qpXW6OX6CUOqWU2mb588+mnqMgCIIg1AeP3Xhp3xjuzMWRtMlYYmu+JfV1+u1ZQcYZ70Ngw2O1rIVyC8sqGN27A4VlFYyftZaMvJIG910X7IXio0t2kl9i8ul8nGlO7ldfuzs/At4G5tdwTpLW+sqmmY4gCIIgeIca3XhlOfDLZDj2vUPzvuhbiB4zk5ioNrxWn0K2NeCVQrkNxHlHha1HcikxVfDmDUMJ8Pdr8vm4ojm5X30q0rTWa5RSPX05B0EQBEHwNm733zz4CYlb/wJb7U4OioZLfoJ2Q+lj1+xxIds6UK9CuV6kNqHY0Pk0NFO0UfZNbQB+vlaKFpG2XGt9hotjFwBLgDTgKPCw1np3Tf1t27bNHBISUuOYJSUlhIb6Vqm3FmQtvYusp/eQtfQusp6ek1Vk4tYlqYQE+tG7fTCnTh1nRrfnGBK+1+G8GRmT6TLkAQZ1ifTRTFsH9t/NHceL+cf3x3jlsi4M7hxWp36cn9v+7DJKTWbmXhdPh/DGs2kVFRVtHj58+Fmujvna3VkbW4AeWusCpdQ44Gugb00XhISE1Lp5umyw7j1kLb2LrKf3kLX0Ls19PZtbra2XzNFcHvwFkbsehE52ByJ7sS/+bU60OZs3P9jAwu4JJPaJ8dk8WwP2382coJPAMeLju9drXV+iXTUr35hGtjZu3rzZ7bFmnd2ptc7TWhdYfl4BBCml5NssCIIgONBsgr0LDsA3/Zi4t7sh0KwMexMmV8KE/ewr6drsMhpbA97IXJ04PI6YSMMb5wt3sDPNWqQppTorpfwsP4/AmG+Wb2clCIIgNDd8GuxtroSdzxkZmst6Q36K0d5uGFydapTO6D8N/PzIyCvh3m/SG5Rh6c0SEc2p3ERDaC6Zq97Gp+5OpdSnwAVAjFIqDXgGCALQWr8LTAT+ppQyAcXAn7TWvk+3EARBEJoNPgv2zt0Jqy6C0pOO7SPnQq9bXF4SGxXKvaNiuPHCIQ4utTJTJW/+sNcjd619IdiGuna92ZcvaQ6Zq42Br7M7a9zLQmv9NkaJDkEQBEGohnNJh91H8xg/ay1Jj15Y5xe0R3FtleWw9VHQbzm2x14MYxZBSIdax/lDnzbVXGrr9md5LJa8aTVsTuUmGoqvM1cbg+aeOCAIgiCc5tQknrxpQanRqpS5DlaOBXOFY/vYLyH+mjqP5YxVJH3+Wypx7cLcCjVXVsPQoAC361PT2jW3chNCdZp1TJogCIIg1JYU4K1gb2erUlpmFruXXGvEmv0wukqgxU+ESXlwo5nUiMsaHNNlL5a+3JrOhgOuQ6/dxV3tTD/ldn3crV1rjeFqbYglTRAEQWjWNIVLzl4oLf5mDqNjHyMOcJB7F62Czhc5XNfQmC57d+3ALlHsPpbHY1/uZGy/jtWsge6shtFhQYDr9XG3dq01hqu1IZY0QRAEodlSU1kFb2UmZuSVcMM73/NCh6c4NPhK3oqt2tx8YdZlrDvLkqHpJNDAcwHpbq5WsfT+zcPJKSoDIDIkkLzicpf9OFsNB8e1dbs+tZWkaG7lJoTqiEgTBEFo5bTUMgvOLrn8UhOXz0hi6+EcwEu10Q4vJnZ5GFv6T+LCyPUAmAPC+KLDEkYfXskT6ffy0BLtsuZWXepy1TTXsX1juGnORtt9msEj12NNLktxZ7YOxN0pCILQymnMMgt1rfRfl/OdXXL/3XWcuz7ZTImpEmiAG7TkBCRNhMwkx/bER2HIC5woMPHEv38iLKjCbcZoXbNK7RMDJvTyx37vhvq6Hmu7TtyZLR8RaYIgCK2cxozpqqsArOv59mUVokKNV5bZbK5fZuK+92HjnY5tYV3hopXQtko2xUYF1ipw6iKsnBMDeoTHcEEN91kX12NN17XGkhSnG+LuFARBaMV4Y6ucmqirAKyvYLS/jwcWbWPczCTPXHmFR+DbQUaGpr1AG/qysU3TNekOAs2KJ/Fanpxj73Yc2CUKgJm/nhS3o+ARItIEQRBaKY0dl1RXAVhfweh8HyWmSirN8NmdI1l4x0hWPXQ+L10zqMqKZTbDnlcMYba0B5zaZbS3HQhXHTKSAAb8A/z86nXfdcFVYkB4sL/bxABBsEfcnYIgCK2UxiyzUNeYrIbsDODuPhItlimbFevU7/DTH6AozbGDs9+FPnc2iShzxdi+MYz990+2e9+RmlPvXRGE0wsRaYIgNIi6Bo4LTUtjxSXVVQA2VDC6vY/KCtjxFOx52fGCjmNgzBcQFluv+/Mmzve+bssujpqjRaAJtSIiTRCEBtFaNmgW6k5dBaBXBWPWb7DyfKhwKity7mfQ44b69+slnH95sd57anYRy/Up7rqsl49nKLQEJCZNEIQG0Zo2aBaaORWlsPGvRqzZ92dXCbRuf4SJuUasWSMLNE9rzrmri5aWU8yC7bkNq+0mnDaISBMEod40duag0LrxuMhuxs+GMFsUCvveq2q/4DtDmJ2/DILbNupcrXhaQNfdLy/yS41QF0SkCYJQL6SieevCF7sSWAXPWytdjFteAGtvMMTZqgur2hNuhusLDXHW9fImm6sVT0SWu19e5Jcaoa6ISBMEoV5Yg6FXPXS+6zIIQovCK1ss1RGr0FmyJb1q3LSlhjD7vA0cWWy0+fnDH34xhNmoeRDom9hHT0SWu19edqWfsrUP6Rwqv9QIHiGJA4Ig1BupaN5wmkt2bFO74ewFT3RAHgk7roYNax1PUvfDma+Cf1CTzKkmPC0h4i6L9YxubW3tmakH6BjfS7ZpEmpFRJogCIIPaQ7ZsfXaYqkBWAXPxHY/8uLg14xGqwEvuD1c/CO0G9Jo49eHupQQcffLi7U9E/mlRvAMcXcKgiD4EF8Hkjd5bGHRUWJ/HcveAeN4sctrtuZZmTeh9iwn49L0ZifQrHiyDZQgeBOxpAmCIPgIb1mwGuIybcxdCWyYzaBnwpZpDs35QT0pP+9b2scOYHJBKV3rMW5TuIubi0taOP0QS5ogCEITYs2i3Ho4x2sWrIYG/TeahSh/HyzrDZ/6Owq04TNgciVtJh2kfeyABo3bFAkP1jG2Hslp8gxY4fRGLGmCIAhNiH0MmrcsWN5ymTbUYpSaXcQXvx3htrYf03b/i44H258F5y2F8K4NmqMzTeEutvadkVfq8/hB4fRCLGmCIAhNiL2o8IYFy5u1t+ytUnWum5aznS4/dOOBk4mOAm3kPKN0xuWbvC7QGqPumPN924/x7ur9gBSiFZoOEWmCIAh1pL6FX70tKrwd9G8vID1yI1aWw2/3G3XNvhtKYEUuADlRF8B1WYY463Wz7XRvFsyt671bx954MKvGOdjft/0YQ+OjyS4qA+CBRdukEK3QJPjU3amU+hC4EjihtT7DxXE/YAYwDigCbtFab2naWQqCIDhSn7IZntbZqgveCPq3ujiH92jHY0t2AIaAnHZJX8CN1SjzF/hhLOB47NETz7H4+DC6tg1l3tlB9I11vMyb5Ubqeu/WsaNCAy0irIhpl/SrNg97oWodY2DXKIMOsW4AACAASURBVK565xciQwKJjQolM7+0wc9OEDzB1zFpHwFvA/PdHL8C6Gv5cw4w2/K3IAiCz6hPHFRjZVHWpaCwq5gzq3gJCvAjPDiQ0b07sDPtFI8u2QlUZZ36VRbDrzfDoY8dO+1+AycGvM2YNzZZBGiUWwHqybrVJS6uLvduHbPSbpeDicPjHcZwlW1rHaPRM2AFwQU+dXdqrdcA2TWcchUwX2tt1lqvB6KVUl2aZnaCIAjVaYjL0td1tly5MK3i5fZzE1j10Pm8ecNQSkwVNovfkMD19F0VRf/twx0F2sU/Ge7MMZ/RqX1MrVuEebpujZGtaT/2y9/9bmtPzS60/Vyb+9T67FKzi/h43WFGJLT32vwEwR2+tqTVRjcg1e5zmqXtmLsLSktLSU5OrrHTkpKSWs8RPEPW0rvIenqPxljLrCITty5JJSTQjyGdQ9mfXca4GUnMvS6eDuG+/+80o6CcH/bl84c+bYiNrL6V0qFjhvA5dPgw0WUnOJxbxtMrjf9Ol2w+zNB2ZfSIDuahc0K43vw87QtXQ0TV9TkxN5DR7XHM/sHGr9fZVes7MBwyU/PJtHweEI5t/euybs5zbCjWsYMD/PADKuyMeI8u2Ym54CSDO4cBcM85HTi7WzjRYQHkFkfy29EistMPkp1edc2O48XMWHWMroEFtuvqivw79y6teT19/7+KlwkJCSExMbHGc5KTk2s9R/AMWUvvIuvpPby9lqnZRfx3cxqPXN6fa4d1c3B7jWkmledz92exYPt6rhzRn8TeHRyOpWTkM+vrjQDM2pDD69d3575vrS7KaHYfzeP7pE95M+4VHFYtMBIu+ZnkjHASExNpV8+5vUS7au5C53VznuO82/p6ZXsq69hLtx3l5RXJBAb4c0a3KHal5/H0qgybW9b56zJqWPW+coJOAseIj+9OYp+Yes1H/p17l5a+nps3b3Z7rLmLtHQg3u5znKVNEAShSbG64T69Y2Sz3RrIXcyXq6SFKXM38Y/L+3N1/wA6bL0RIn5xuOadE5MYduXbjOrTydJJ/SwV9jFmNa1bYyRWWLHGld0+JoG2YUH1ji1r6j1OBaG5i7RlwD1Kqc8wEgZOaa3dujoFQRAai9qC3r1SCNbp+rr0WZOAqJa0kF/CkY1vMuzIODhi10l4PFz4P37NjOHVDzaw0Athy55mdDbJ9lTULdnAnsYUkYLgDl+X4PgUuACIUUqlAc8AQQBa63eBFRjlN/ZhlOC41TczFQThdMYTC0pDy0u4ut7TPj0REBOHx0HhYfh2HDGn9uDgqBv6b0h8GPz8LPe6scZ7rQt1yYStr4BqCppKRDYlsidp88enIk1rPbmW42bg7iaajiAITUxLeEl4akFp6PZErq73tM8aBYTZDHtehu1POF4UPQjOXw4R3T26V6j78/Kme7A5fFeas4isD96sWyc0Ds3d3SkIQiumJbwkPLGgNFSMuLre+rOnfdoLiOKyCgpO7KBiyVkElGY4njjiPehzh0f3uiM1l7d/2keZqRKo2/PytnuwJXxXWhpNse+p0DBEpAmC4DNaykuiJgtKQ8WIy+tnrsWM2VZc1uM+K02w/Qnik19lin17p/NgzOcQ2qlO91pYVsH/9mRw67kJRFO35+Vt96B1zM9/SyWuXZgItQYiSRAtAxFpgiD4hNbykmioGHF3vRmqtZWZKnnzh73VXX5Zm2DleVDhuG+l7vMBasTt9b43e1F2OLeM536u/rxqckN6yz1o/135cms6o3uLNa0hSBJEy6FWkaaUigVeBLpqra9QSg0ARmmt5zT67AShBdOUMTTNIV6nLjT2SyI1u4hPtmVzV2xRk6xHQ8VIbddb29btz6py+bX1h9/uhf0fOJxbEDOea7bcQUpuIF0PhzKvR369xK+9MHpg8Tay8kuJCA2yPa9xM5OYMqong+PaeuSGrO931P67MrBLFLuP5fHYlzsZ26+jCIp60hqTIFornuRXfwR8D3S1fN4LTGusCQlCa6ExtrdpDmO5IzW7iDd/2EtqdlGt51pfEjVtI9QQ0nKKWbA9t97rUZd7aUrMZjOjI7cxakMMLApzEGh71OdkXFnMsNV3c6QgmGHdo6ttbWSltvtz3iKppLwSM/DZnSNtz2vqmF58sPYgGXmltrnVRH2/o9bvyvs3DyenqAyAyJBA8orL69SP4IivtygTPMMTkRajtV4MVAJorU1ARaPOShBaAU0Zb9UcYrvq+hJuzJeE/XrUR3A1B9ELVWIq7UQG+T9czeiNHVnY66mqE3rdwvqzjtBzx3Jy215AbFQot41JoNRUySOX9Xcrfmu7P1cietq5HUnsEgUYz2tsX6OIx7ur9wO172Pq6XfU1fMa2zeGm+ZstIlGM7gUn4LQ2vBEpBUqpToAZgCl1EjgVKPOShBaOA3ZhLs5j1UT9RGKjWGxcl6P9Qey6iy4moPoBTi2ayEPZCriVnamTeZSAEzmAP6S+ib99qxgXcdXeXDJXqDq2Z9nEU9ms9kmfp3X2ZP7cxbRl/SucpmmZOTzwKJtAGQXlTE03r3Vznq+p99RVwKysS2vgtBc8USkPYhR+b+3UuoXYD5wb6POShBaMM6uoppeXi1prJqor1D0tsXKfj2GdA6lsKyCJ77aCXgmuFKzi3j6651MW7QV8I7otQqkjQezPBOkpVmw6mJY6MeItKpSGXvb3cHJK/MJ/LOJN+/+G49d3p8pczc5PPtxM5Ns4sl+7vbrXNdnZZ1/RoHhXrSucYmpkj4dI4gMCWTPsTw+u3OkS+FU1++oOwHZGJbX5urWFgQrtSYOaK23KKXOBxTgZzRpCQYQBDc0ZVBucwgAbkgSgLctVvbrkZl6gPzQTtw+7zfKK0xMW7SNBVPPqRZEbx/QvjP9FB+vP0KQvx/DukezP7OQ8bPWsuiOkfy8N7NeiRlWgRQVGlhzgP2Bj2C946Yq2RVtmbz/BU4G9OWzO0cRExUJGCLltjEJRNntQ5l8LI8rLeLJ+TlY1ze7oJQpH27Ezw+H+6vpWVnn/8plXaqtsf13LrFLlM0d6u6ZuPuOWp/BWT3a8Y8lOwDvZ/y6SlyQ2mtCc8eT7M6bnZqGKaXQWs9vpDkJQounKSuT+7oKem0vYXdZfY1Vjd66HkmZJTz03XpCggyHQWGZyUGQWK/p3THC9qKODgsCoLzSzCOX9SciJIC3f9xHak5RrS9zd/dpFUiVrgRpURqsngA5Wx36Kuj3T4Z9eTZllX4A+PmVM25mEmv/cZGDuLF/9oldonjlusHVnkNecbltnV9Ykcw1Z3Zl0W9pPHJZf/rGRtYq6qvmX9VW1+9cbedbxVKgvx8RIXWsDechrgRZc3FrC4I7PHF3nm33ZyzwLDChEeckCEILoyZXlCuXprfdtK7GKKswU2mGu87rDcBrE4c4uOOs15ywZCemZhfaxIz1c2GpUczVek5GXolb95irOdgL0Ze/+x2Ahz/fRuaml2ChH3wdXyXQ2vSDCfvhRjOF/R6nwmz89zywaxRtQgLxREdMHB7HgcwCbvjPOg5kFjCmb0y1df5yazrgGLPmDvv5v/HLiUaLd7SKpNvHJjRa3JmzIGsusZyCUBOeuDsd4s+UUtHAZ402I0EQWhWurBWNVY3efgyr5Wf+ukMAPL98j227JftzZ6/eB8CjS3YSHhRAcKA/ZaZKHl2ykyfH9Xc45/nle8gqLHNpUbP2d8Ii5C5QHbnhvfWEBPrj5wfdg9KZ3+ufxAdnQIrdhWe9DX3/Dn5+Dutzx9gE3l1zgCfHJdKvcxuP12dn2ik2HMxmZ9opRiR04MVrBtGvUySrfj/BjSO689TXu8i1WNdqsl46u7F3pOY0SsFTe7H0zbajTBxmCH5vWoWdBdnr1w9hytxNUsxVaPbUZ8eBQiDB2xMRBKH1UZNLszGq0dvve/la0gkAsgvLiY0KIb+kyt2ZV1zOA4ut2YnlDI1vy+/H8ikqryAqNJAhcW3ZkXaKF1b8bjsnsUsb9p0oMD4XlFabwzRLwP4zy3aTW1zOyF4dePHqAYzjXcL3vuxwfkbwUJZGzuKKEcNcuk9TMvJZtv2owz15uj6VTu7ViXZFcOviTnQW0uu27OKoOdqrIqYpKt+7GmPK3E08dnl/JgztKsVchWaNJzFp32Apv4HhHh0ALG7MSQmC0PKpzwu4rlXpXY0xbmYSfvgRHAB9OkVyNLeYjLxSXr72DIICAgBs1/TpFMmJvBL2HMtn6d3nMu/XQzx8maKi0szYV34iLCiAbu3COJFXwt6MfCqMfcZ5YUUy/Tq3oW9sG9scggIMS1iJqYIBoQc4a9ONjKrMc5zwqI8h4SYO7M/ixffXM6hvcbX7rMu6Oa/Xyj3HbW7Vl7/7nYSYCC4Z0NnBnXjH2F4eCxN7IR0dFsCoRO/GOzZF4ou7Ma7zcSynIHiCJ5a01+x+NgGHtdZpjTQfQRBaCfV5Adc1266mfS+7+eUyatgZfLfzGH9bsIXu7SMY3ceoIfbwpYrM/BJuHtWTsOAAW3biy9cNtvX94rWDHDInx89MAmBglyjScosdhNOL1wwiMrCCjNV3MyXmW6MDi6Cjy+Vw7kIIbmfr27nYrr3Qqsu62a/XqeJyps7fjB/QNiyQvGITU+dv5p0bz+SFb5OBxnMnNoSmSHzxdXKNINQXT2LSVjfFRAShJdPS9s5sKur6cjxhSRw4UYcEAldjpGYX8e73hzFFZvL88j2Ao7t1ULe2TH4/mYv6xzKqdweX87LvN9Dfj6jQIHKLy8kpKuP9m4eTml1sCKcTSUzU51kmUHX9vUen833u2SRdeSGxwVUCy9k9++Af+lUTpp6um73YO6NbW244O57bxyTQL7YNezPy+b+f9vHA4u0SeyUILRS3Ik0plU+Vm9MeP8Csta5eEEcQTlOk3lLDScnI57nluwF4bvluBnSNqldJjtTsIt5auZcl23NZtHOTyxgsq7ixZmvWJK5duR+nfriGDRcvgoWLHM79sfgiHku7j9zyYJbefS4XHM1zEEOu+nrsS8+L7drjKhbvFTtLYL/YNrz1pzMZszlNNtIWhBaKW5GmtfZOBUFBOA2QeksNwxbX5W+J6yqvrLfFJy2nmCVbjDIT158VR0RIoINb075uWE3Zmlbs3Y/m9G/puPk648DRqnOWdVzI6FHXclFkCCtqKO7q7MrceDCLO+dv9ijb0tV6eWIhE1efILRcPKmTBoBSqpNSqrv1T2NOShBaEr6st+StbW28vT1OXfuLjQrlvov7Ehlq/N4YGRrI/Rf3pcxUWWM/rsbZnppr+/n73Rm8n3SQtJxiYiJDqtUNKzFVANWzNR0oy2Fi3p3ELAutEmgAff/O+rOP0nPHcjr2urRanTh3a2CtKZeRV8JNczZihjrXivN0L0vZ9kgQWja1ijSl1ASlVApwEFgNHAK+a+R5CUKLwNd7Z3pr70tv76FZ1/4y8kqYuSqFknJjS6OS8kpmrEphR9oph36cRcfWIznMWJXC1iM5AKzbf5KX/2tkNwb6Q1GZCTBEWGp2EQs3HOHhSxWrHjqf6RMGEhlsiMIXViSTkpHv2P+hhUbB2S/awzHjvzxTQBvGp7zFryMy4ex3qPQzdig44aLIbW1r0NBNwz3Zy9Lbz7UmRBAKgvfxJLvzeWAksFJrfaZS6kLgpsadliC0DHy9d6Y33Kyp2UV8/ltqg/upaV61JVa4W8d24UEO/TjH/mXYdgIoJSOvhClzNxES6E+pqZIAfz+Ky40UyxdWJNsC9D+9YyQVlWaX7sL/u7Yr5x+6gfhM7TjBgU+SEvswf56ziRPFZUxbtJUXrxnEP5dWxdBlFZbXecuhxnZF1pRF6m0kLlMQvI8n7s5yrXUW4K+U8tda/wSc1cjzEoQWgycWjcagLm7WmqwcGw5k2bYK8oa71tW8PLHoOK/j4Li21fqxFx0pGfm8u3o/AO+u3s/e4/mc1SOaNiFGLbRSk5mQQH+bhdM+QN/BijX1HH65Npm9A8Zxye9DGRZhEWgRPeBKDTeayUh4ivFvr6Ow1HCP5pcY5S0KSk02yx9AdmGp2zXwBG9ao5znsP5AVqNa1SQuUxC8jyciLVcpFQmsARYopWZg7DogCIKPqKub1SqS3lrpKAAy8kps4mVgl6h6u2ut4mLrkRyX87LGfNlb1moSI9b7yy81EdcujPxSE+NmJtl2CXhg8TaumLGG7KIyALKLyrjlo438uj+bYovLNCTQD7MZ3rxhKO/fPJzIEMNxYBVNExMyiVkWCp/6E7lzmm3sfx29jdGHfyBl5E6I6gdUWfpemzQEgDeuH8qfzo7nx4cvMNymlli6F75NZt3+k/V2gXvLPenq+/HEV/XLIvUE2QdTEBoHT9ydVwHFwAPAn4G2wHONOSlBEGqmrm5W64t5yZZ0Jg6Pt7mj8orLiQwJtNX/euGaM1i27ShlpkqX/bjD3tXlPK/Fm1J5YYVRTNWawXiyoKxG15j1/krKK3jq6108epnijR/2UlJeybDu0exKP4WpEiJCAhgSF83O9FMUlhrxZ69NGsIVg7qwbssudhWE896aA3y87jBhwQGc27sd93AvfVdtqTbmeXvnccqvMwO7RlHoIltySFxbpny4EajaB9SV23TKh5s4p1d7HrlUMTg+2iMXuNUV2SsmwuF51RdvZZF6QlNs7SQIpyueiLS/Aou01unAPG8OrpS6HJgBBAAfaK1fdjp+C/AqkG5peltr/YE35yAILRVP45nsrRwAqdmFjOrdweXL9YFF2yivMOKXpl81kBEJHTyai72ry35eFZVm3lqVQlhQAMO6R9u2bXrrhqEO17m7vw/WHAAgOMCfl68bzAWqIykZBUx+fz0Xqo68OmlINRHy/PI9RIQE8r0+xTmJ7XhhRTIvjj7JjQW3VB+k3z1w1iwA7rPUEysuq+Cdn1JIzymxidWahIizKJ2TdJDZq/fz9wv61PpsrFhFbocIIwbPG0LK+hysWaSNJaJ8HZcpCK0ZT0RaG+B/SqlsYBHwudY6o6EDK6UCgHeAPwBpwCal1DKt9R6nUxdpre9p6HiCcDpiFRchAf4EB/hTVlHJo0t2Et8+nFG9Y6q9XD9IOsC7qw+QfDyfnWmnPBJpNW2iXmaq5Px+Hbn3oj4UllYw+f313HB2vG2boprESEpGPrNX7wPgtR807//lLGIiQ9h73HClWfegdCVCbp+3CSrLeCjgNg4N3gsFTp1fdRgiHCsJWUXNuv1ZfLbJ2PkuLae41q2anMXy2L4xzF69360AdRXAb41ls2a3elNINYWIklpsgtA41BqTprWerrUeCNwNdAFWK6VWemHsEcA+rfUBrXUZ8BmGa1UQBC8RGxXKY5f3p8RUQVhwAGf1aEdYUABT5m4iI6/EIVh/z9E8Pll/xHatJzFUGXkljJ+5lqzCMoZ1j64Wf5WWU8wPezIoLK2ocrluTnOM15q5lueX76kWKzduZhLZReWAIV5umbuRdftPMm2REZc2bdE2UjLyq5WySJqcQ8rA8aQMuob2pr22PlcG3UPq5YVwo7maQLPHXlzZ/+xJgsiavZnc+fFmwH1slnPcWUpGvk20RoYGMn3CwDqX46gNXyW3CILQMDyxpFk5ARwHsoBOXhi7G5Bq9zkNOMfFedcppc4D9gIPaK1TXZxjo7S0lOTk5BoHLikpqfUcwTNkLb1LY6znqA5w78gYzu4WTnRYALnFUfx2tIjs9INkWwIJsopM3LbkCPahaO8lHcRUmMukQe1cd2zh6sQ2LN51ihsSw+g+sq1D34eOGUJkw+59zN9q1DILCfDjqfNiOKNzGLnFkXy1J5c5aw/SL6KEwZ3DAPg9swRThZmwID+6tAlif3YZFWb4y5wNtl0J8ovLGDcjibnXxXNGSCnR3w6Cilyc96ubdPwLdmaHUWIy80Tkbsb2jHR7L4dzy3j8f1VbCdy94DdeurQLPaKDa11n+zXs3T6YjIKq+XUIr/qv1romhw4fpiL3KLcuSSUk0I8hnUPZn111zYDwwGb1b0v+rXsPWUvv0prXs1aRppT6O3A90BH4HLjDhUuysfgG+FRrXaqU+itGTNxFNV0QEhJCYmJijZ0mJyfXeo7gGbKW3sUb6+nKnebc5ahh1a+7ar+JJVsMgRIeHEBRWQUfbsnh2nMHcka3tm7HuzroJIt3bSA+vjuj+sTY+k7JyGfW10ag/Vu/niQsyGK49/fjyVUZJD16IYlRoZijqq5P7GPsUJ4bnIWZozxyWSLvJx2wjXXdsDguUJ3424ItvHHDmcSemM8wPb7anB5Pu4dPsy8nPMgfkxmmTxjI41/u5Iy+CbYxnMnIK2HCJz9SXmEm0N8PM5BTXMF9y4+S9A/P3I5TMwJ5d80Bnr/2TPp1bsNqnckYO6uV/ZrM2pDDvNtG8MjlEWTmlzhsXTWmGVq65N+695C19C4tfT03b97s9pgnJTjigWla64Fa62e9KNDSLX1biaMqQQAArXWW1tq6X8sHwHAvjS0IrZb6lHFIychn3f5sADpGBvPsHwcAcKHqSNuwILflMtyVXnAuAREWFEB5heE6fG3iEJsrz5170OpmfPG7ZArLKhjY1bCPLdmSzlvLf+HQ4Cu5YmdXhmU8ZptLRXBHmJTPo8Hb+DT7cgDahAXx53O6M2tVSrUxnImNCuWlawfz7B8HsP6Ji9nwxMU8+8cBvHStZ27HlIx8lm0/ahsnp7DMwa3ormxKXLswh62rxBUpCIKVWi1pWuvHG2nsTUBfpVQChjj7E3Cj/QlKqS5a62OWjxOA1mnPFE5r7C1f3qCuRUWdMxd3pJ3i0SVGTS19PJ8NliKozuUyth7OYeJ/1hEe7Dpr0F0JCGv5ioy8Em6ft4nyCjMDu0aRllPM+FlrmXfr2TbhFxrkzzkJ7diWeop7On3Gw50/qTb//1S+yku7Evn0jpFwpITFvxlB//5+RomRub8cIio0kNG9O7Az/RSXz0jinRvPJPlYfrXq+87P4JZzE+q1hq4C/90F8EeHOe6qIAiCYKUuMWleRWttUkrdA3yPUYLjQ631bqXUc8BvWutlwH1KqQmACcgGbvHVfAWhsbCvMRbdwL5qyrR0h714qKg0M/aVnwgLCiCxSxt2H81zqNRvT4mpkopKM69OHMLlZ3RmR1oub/+4z1a2wip4th7J4U/vrSciONBBwCy6YySDu7Vl85FcnhyXSL/ObVi27ShT5m6yiZ2Mo7/zXuAV4KSV9hQnkHr2z2xLL2K2ZdeB7IJSHvh8O2FBAXRvH4bOKKC8opKrhnbl6SsHEBMZwn93HeeuTzaT7uUtjDzNoHTOghxsV3vNW/XLGnv7J0EQmg6fiTQArfUKYIVT2z/tfn4caCxLniA0C+qznY6rF7GzNWdn2ikue2sNS/42mjO71xz8by8eXrx2kEM9ssiQQApKTTz8+XZeuW4wvx3OYeLwONt8oyzV9gtLK/jfngxuPTfBQRyUlFdSaYZXJw3m8jO62ATM/swCNh/JBeDOj39j9p+Hc9uYBKLCghhf+i/CDv0H+jrO89To75mdHM+7Ow6w8Pxw2oaV2Y69sCKZ+y/qww0jurP3eD43frCBqWN78dgVVbEq1rlWenELI/tnUZcMysYqAit7aApC66HWmDSl1L1KqZr/hxcEoV44W74O55bVcoWB9UW89UiOLV7MvhTFK9cN5rx+MVSase0r6Yy7rZmsYsO2lRNmWwzVrR9tYsaqFDYcyKpxX017qsSc4daLiQxhTN8Ym4WuZ/twCkoreH7B57DQj4k63hBoFlbnD+Pcw/8j5eI8ToSN4ssthjvz7ws28/J/jX02A/39yCsxMePHfQ5rumzbUVsMmn37y9/97jD3hlDfrZycS4d4q+yG7KEpCK0HTxIHYjEKzS5WSl2ulPJr7EkJwumAq0Dye79Jr7U+WWp2EZ//ZlSiOZFX6iAQzkloz8frDrP1SA7f7jwOuH9Zu9rP0yrc1uzNtG3lFBlcVbtr6ljD7/iPL3fYaqPll5i47K013PfZVsBR+DiL0DV7M3nzh73o4/mWvTTNPBP9FIcGX8n/1N0O87vqwCyGpHzPf/zfoaDMzPiZaxk3M8m2yXluscl2bkigP2WmSu65sDdT5m6isKyCIZ1DbcH5u9JPMX7WWgpKTfj5QaUZ/Pwgv9RUr71K7WmIKKrJ+lafzdZlD01BaF14kjjwlFLqaeBS4FbgbaXUYmCO1np/Y09QEForruKYPv15e62WlPUHsvhyq5EIba3IbxUIVuF159hetvPdxTrZ7+cJMO2Sfmw9ksOMVSkE+vsREeIYQ/baxMG2YrdhQYYL9JHL+rPtSDavfL+X3CJDtO3PLGT8rLV8+bfRXDv7Vwf36y1zN1JphhGRyWzr+0i1ezsYNYmE8YtIzSmm0/I9PH9hH4f9L81ARHAAf1uwhQlDuvCzziSvxERkaCA3j+rJ3Rf2oWt0OBeojmSmHqBjfC9W60zO6NbWttY/60wGx7VlZ9opzlcdG1R9vz4xgJ5SV7el7KEpCK0Pj2LStNZmpdRxjGK2JqAd8IVS6get9aONOUFBaM04B5Jf0rvmF3xGXglPfGW4CXt3jODAyUIAHli8jU9uP8cmvN5LqtrzMr/EZAvUX7DhMLuP5hHfPpxtqTm2fq0br2fkGS7OK87ozDMTBtrE47JtR3no8+22TMxDWca42QWlBAYEAGCqhEcu60/f2MhqwigmMoSF6/aTuGs8Z0boavd1of6Ag6WdAfg0MQvw44c9GfxxcBdW/X6CicPjuG54HCkZ+bZA+2XbjxFpJyRnrEph4vA4Jg6PIzW7iE+2ZXNXbA+bdWqi09/9LGKqviUvGlsU1dVCJ3toCkLrw5NitvcDNwMnMWqVPaK1LldK+QMpgIg0QWgCUrOL+M/q/YQGBVBeYWJ/ZiERIQF0aRtGZn4p42Ym0dYS9wXYyloUlZl4YlwiJaZKvrBYzZKPG9iPQgAAIABJREFU5xMa5E+wxU0I8NPvGTar2q/7s8gpLCMmMoSYyBBuG5PAibwS3l1zgKIyE8EB/hRSwbPf7LbVPwOYk3SAZyYM5LrhcWw8mMUn6w6xN/lnnvD/i1FfJ6Lqft45MYlXj08BIMjfj0Hd2rDvRCFT5m7izUlDgCp37sheHQgO9LeJomHdo9mRdopSUwWPXKpYsesYndqE2gRJWk4xC7bncuWI4kYLnncWRc7ZrQ2hvhY62UNTEFoXnsSktQeu1VpfprX+XGtdDqC1rgSubNTZCYJgY0faKT7ZcIRKs9lWILbMVMmrEwdz5aAuVFaaKa8006djBG1CA0k5UcBnd47k5WsHc+u5CdUsMqYKs2XjdSPM9L2kg2QVGokL2UVljJuZZNtT075Q68GTRRSVVXBWj3ZkFpSRW1xu63Pl7yf4fvdxqCgjeMs9fN1+LE/4/8Vh3BHJH9N393KbQAMorzTzxLgBJP3jQqZd3NcWD2fvzrUPtH/ksv6YKs1MHdOLElMl7ycddNgV4YQlxuxEA2LNPME+psya3VpTAoEncWbuit42JG5OEISWiScxac/UcEyKywpCI7PxYBav/28vlw6MBYyK/VcMqiplUVJeyYKNR7jr/N5MHZvg4OpK7BJFYpcoUjLyuXvhFod+gwP9KS43ERESRGKHcLannQLgjK5RHDxZSGFZBXPWHqRnh3CeW74Hfz8/ukWHkp5bQnlFJc9OGMiEt9dSaYYAP6gww4iIXUxNvRIWwVC7sW45+Aw/559d433uTs+lV8cI3lqVQlhQAEPj29rmZHXnWhMjesUYJrmxfWOquQVTMvJ5ZtluAJ5ZtpsBXaM8jhNrSI0xT4ShJ3Fm4rYUBMGKT+ukCcLpRn1EwM60U2w4mE3ysTwAnl++hz6dIukb24brhsfx676TACR2bsPH6w7bXF5HsotIzS4iONCfK2aswdkLV1RWQYC/H5/dOZLELlE8s3QX89Yd5snxAziQWcCTX+8C4PipEvp3bsPO9DyO5hoCxAwcP1XMvycOoaToFKOzHqNX0XKH/r/KuZDH0+6mxFwlLnp0COdwlmsr0r9W/M5ASxzbwK5RXPXOL7QJCaRTVCiZ+aWMn7mWSxI7sWLXcTpEGG7d+z/baqRpYrgFX79+CFM+3ESF2bjZElNFneLE6ltjLCUjn+eWG8LwueXuhaGncWbWuLo3f9hri8cTBOH0Q0SaIDQhnogAZyFndY2VmCpsAerjZiYxZVRPzuvXkceW7AAMcZBVWM7IXh0AmLEqheiwQP67O4M7z+vN9tRcftmfxSWJHekVE0lmfilj+nYksUsUqdlF5JcYJS3MZjNH7NxxH/16iMIyo+yFGWgbFkhesYlPv/o/5iQ8X23+Nxx4hQ0FA13em1WgRYYEYjabbf0O7NqGA5lFTPlwE5cO6MQn6w4xdUxPbhvTy2ZNmpN00La7QEl5JWf1aMdvh43kh7N6tCPlRAFT5m7isoGxfLPD2E0uLCiAqWN7uRVoqdlFfLj2IAC3jUmoVzkNq3syyN/PNjdXwrCucWZSlFYQBBFpglAHGrrljiciwP7lrI/nMX/9YQDKTGYmDO7KzMln2gTLvHWHCLdst7Q91ajen11YSrvwYAD2Zxay4WA2lw6I5e4L+/DL/ixWJmfy6R29iWsXxheb09h4MIv31xzgh+QTANwydyNldskAViEFEBdRwvdnzyYie5XDnD86+UdeOj6V0soAW1ugv5HxGRLoR6nJjL+lPlmvmKqs1J4dwskuLCPlRCFL7z6XZduO2oTYH4d0daghlhBTtd6RoYG8dO0gfrFYEW85N8GWhfriiqoojNzict5aaVijXAm1tJxi5v56CDASLd74YS9Qt2D92KhQ7ru4Lx+vM8SstRyI/Xj1yQSVorSCIIhIE4Q60BDrhqeWFOtL2d7laOWxr3ayPK4tY/vGMHv1fm4/N4Gp5/Uip7CMm+ZsoLCsgme/2QOWPpZtN7I1M/JKmGOxGAGkZheSmV/CjFUp5JWU2wRaXLtQ0nKqx1RdHf0Tb3V/3fiQbfxlCojms6iP2HyqB18dTXc4398PosODOVlQRmCAP1NG9eDYqWK+2XGMG0d0JyDADz8/uGW0Ia6+2pLOf3cdR3WuWo+fdCaXDuxMfPtw1u0/adv0PTjAn6LS6m7MmMgQEru0wVRp3Hugn+EJrax0L3LsBdBjX+6sVhvOEzdpRl4JMy1xdM7lQGrbXN1d341Zf62lIHuQCoJn2Z2CIFior3XD04y9w7lltpfzOz/tY0zfGDpGBtuOj+jZjpBA/6ptj7Yb2x6Nn7XW5gLMzC8ls6CM3h3DySsxrGDvJR0ku7CMIEsm56NLdrLxYBYAmXZzyC+pspp1Cszm6z4PcmjwlVUCDZiZMZleO5Yyr+tmnlodyP+3d+fhUVbXA8e/k5nJThJIQggk7HDZQaIIImjVuqDVKlStteKurXtrFbW21uWHtrYKauuGFHdEXBC1Lqjs+y7ES1gCSYCQjezLbL8/3pnJTDKTDJCQBM7neXzMvPPOzJ2XCXM4995zenaJAoyMGUCkNQynC2rtToZ2j6Oy1sGsZbv5ZrvRAeE/i3fSLzmWkkobOcVVJMVGkBIXwYxFWTzirgEHsGxnIZ9uMjoweJqun9qrM1HhZmrsDh66aFCjbJXveRazCZsTrh3bK2AwtGRHATfPWee9HRVu5rXrMo64RVOo7Z1C7e0puzsNR9tuS4gTiWTShAjRsWQ3QqmplV9Ww12f5RHtzuZszStlWVYhMeFmbz2zNdklTJq51DvFuW1/GVNnr2XahYO4dJQxPTh7+R525Jfz3hqjdZQlzITd6aLG7sQzGWk1m3h7tXH/Qnf7KKvZRGl1HVMTF/K3Hq/4jX9vbTdmOGaS3nsEtZ2dOPN3e5uUv73amI6Ntlqotdt47spRLN5RwP0XKG+jc4cLHHbj/OIqGzf+dw12J+SWVHHveQPZdagC8J9aBXj26x0MTo3jrIHJnKOSmbs2hwn9kxiZnsAN4/s0eY1f+3ItTy0+xAVDuzX688gvq/GOwWwCTCbKa+xc+/oalj5oZM+OZLF+S9Ynk92dBpnuFUIyaUKEpCWyG8Fqaq3ZU8RVr6xkb1Eld41L4q2bxnBa7y68c/PpXDayOzaHiyirmdN6dybKasbpgvdvHeuXtbnxTKP0Rk5xFYerbIxzbx64ZkwadqeLjJ4JdI624gmBHA7/L7708IN81f8Wskf8wi9A+1veLfTe8hln6df5aGc06QnRLNhk1Eub7m5SXlRpI71zJCXuemmPfbaNm87sQ0llfVbQY2hqHJ0iLLhcRtZt/oY8Vu0u8gZ6ljA4e2AScRHGvx/DzSZKKuv4Zns+2w+UsSm3lIVbD/jVRAt0jbPyy3l1nZEpDNTDMiUukpvPNFpnvXjNaFY/fC6P/WII06849gbnLSHUrNuJSnqQCmGQTJoQITjS7Eag9TS+x3yzBFtzy1i9p5ituaX8vH8nDtc63NM8Vdx/gWLCwGTOVslU1zl4c2U2XTtFMjg1Dmj8Be6ZInpk0mAAqtzNyNfvO+w3PidgwsmDaR9ye5c3/e7bXDWAPxz4C7sqOzd6Xw/M30JMhMXbpNz7ft3r2HokRFFRa+fimctw4SI63GLUO8spxQUUVtby2KVDePyzTG8R3Gnzt+DJJ9qd8MOOQm+BXZfLWCsG/mvLmsqu5JfVMGnmUnC5/HqJ+q4v8y3O+8TC7cy5cQzXN8jMibYhPUiFqCdBmhAhOpIprUAbDDzH0jpH8Zx7F+G9czeR1tlY0+VsML0zf0MelbV2UuOjOL1PF3JLqnlt6R5mXj3KWz+r4YJqz2Nf+t6o1P/J5gONxjYsei9zej9EoqXM7/j9OffyYcl5pMRFkF9ZG/B9OV3wjykjqKh1sGFvEe+uyQVgVFo8m3JL+ceUEQzs1snbDN1b7yzSqHd2qKyGP3ywxZjCNYdR53DicEF0uJlR6Qls2ldClc1JpNVMncOOzeki2mrG7nTwjnv6FuCOdzfwwW3jAk43p8RFctOZfXl58S6/XqKeL/jWCgJkoXvLkOleIepJkCZEKwi0nsbz88Mfb/WuKduwt4QN5UZANP2Ln7htTCKf6v3ex/xvWz4Ap/RM8E5/5bv7WX697SB/u2woY/okklNcxROfbWORNnZp+rZqArBg56HU2dyU/Knf8aXlo7hr3wMQnuh9TGFFLZHWMCIt5kbPA3D3e5uYc+NpPPpJ/Ti35BmdATxr9XwD2IZfuE8s3M4XWw8QHW5hRNd4NucexuZwctc5/bn7vU1U2Wopq7F7uxtU2RyNxlBSZWPSjKUsm3ZOwC/viQOSeHnxLlwuV6OAurWCAKlr1nKkB6kQBgnShDhKwTIngTYYHCyt4ba3jZ2EkRYzT/1yGMt3FbJiV5H3cU7gP2uKGjU+B1i1q4gfdhQA9VmyzIPlPPuV5v4LFP9dkc3X7jIanaMslNXYcbhgdHQmH/R7EIvJv93ArdmP8HXZuPoDPsGYwwn/mDKMCIulUSspgKvHpPPbWav9Ohg4XWACymvtjbJSDb9w7z9fUVXn4K5z+jMiLcFb38yzM7NHQhR5h6vJc3c3iIu0cEb/JPokRpMSH8kZ/ZL49/c7mTAgOWBgFcoGj9YIAmShuxCipUmQJkQDoU5b+WZOAD5cn8vZKpmrXl3lN5U2aeZSXC689bucLhf3zt2E3enChFHFH+APPx/Ah6v3sK/MToTF5C3+CvDu2hxiws3GVGRZ/VTkmuwStuaW8oV7hybAaT2jOL/ycaZ08S84u/DwBB7IvRs7UdT5BFi+Y/D4wwdbePB8FfB9v7dmH05n4+N/+cUQfjGyOx9vyOPd1fu8gVDDa5lbUs032/O50b0GLCk2ghvP7ENclJWzVTKrdxdxx7sbMZtgZLqxpuy7nw75BX7PX31KwLH5TmWO7BZJdumRtYU6WlLXTAjRGiRIE6KBUKetfDMnG/eVMGNRFv2SY/xLbeQc5sXvdxJpDWOBe33YWSqZCHMYH2/a7xcc/eubLLpEGRuubQ4XDWuwVtY5qKxzYDGB3ee+Je4M24TYDbzV9y/GwYj6+3+96ylWVo4M/j6ob5AeH2WhT2IMkeFmZnyf5T1nYNdYDpTVUFlr565z+jNj0U5MTpd3/GEmmDQ8leo6Bz8dLGP+hjy/9lS+1zJYxmlKRhpZ+eU89bnRMcDhgl+P6cnPBnUNeTrSdyqzIGc3yel9W309kyx0F0K0FgnShGgglGmrrPxy7p27EYB7527k8lOMrFF+WS23TOzrPa+yzii14enrCPDF1oPER1n9ni/cbMLpguJqI0U1Kj2BDfsOB8xy+QZoncIqubbuCeaMWO13zrtFF/LY/tsYmd6VtZUlzb5nT0WOWruTTbmlflk8gN2FlXx215ls31/GmQOSmLFoJ9HhZmwOF3UOJ06X0SEBTMzfYHQfCLQer6mMk2+wM7R7HNv2l/Hwx1tZ9uA5R1WzrIDjs55JFroLIVqL1EkTwkco9Zm8NdPc5S3Ka+y8smQ3AC8v3uX3mOIKY2rS1iAtVtpgQb7VHOadDgXY4C6ZESxMvDh+KdkjLmHrsKv4ebwRoFU5I7g061/03rKQJwvuoc5lZe2+5gO0M9wZLwCbe6HZxcNT/c65eUIfBqfGMdnd6uiRSYOpcziJCnd3AbCamTp7Ldv215f6uOf9jdwzdxNgXMuVuwqbrDXnCXZeuy6Dkso6AGLCLZQF2LzQ3pzsdc2EEK1DMmlCuIU6beUJJmLCzfzunQ3UOerXlhVX1TFp5lI+uG0cH23I5attB4O+njXMhM3pItwcRnVd4x2MDSWaD/PvXtM5PXab3/H/HJrCswd/i8PdTyAMqArh+TxW7DY2LyTGWCmqNAKihVv8S3fMX5/LGf2SWL+3hCkZaX5ryDzZo1lL9/Dk5z9531tBhRFopcZHUl5rZ+rstTx44SAuc3dGCJRxmjAgiQl//16mDoUQAgnShPAyqtD3ZtXuYu49bwB9k2ODTluNTItn6htrAHA4XVjCYERaAlmHKqiqc5B5oIy3Vu3zFmVtyBpWn13rFGmhyJ058tU3MYrdRdVc3eV/PJ32ot99B+oSuXbPk+Q5elHrcPpl3AKs6feuOWuKJ0CDxhm8goq6Rq2cfHdIOpwuZi3f452qzDpUQUWNjStGpzFvfS4vX5tBZa3dL8MUKOMkU4dCCFGvTYM0pdSFwAzADLyutX66wf0RwJtABlAEXKW1zj7e4xQnj8SYCDbsO8zW3FLG9ElsFETkFFcxZ0U2c1ZmEx1uYWDXWHYcqsDuhMtP6cFFw1NZrAtIjTeCCkfD1f+AxQQ2J0RYwsjo1Zmt7hpjCdFWDlfZiLCEkWg6yL+7/I1BPfb6PfbpA9fzcsFkjD2ZEDgkA3MYPDxpCMN6xDFneTaLdxR4+2JGWc3YHQ5szvrx+K5zMwHnDEpmxa4iqm1O4iIt/HZcLxxOFy8v3s38DXlMyUj321QRLLhKjY9k3vpc4iItXDiscQ/NQDtppUaWEEIY2mxNmlLKDLwEXAQMAX6tlBrS4LSbgBKtdX/gOeCZ4ztK0dpyiqt47psd5BRXtYtxFLsr7TsbbBrw3L9xXwmvL9vDTWf2ZdEfz+JXp6Z7z6mxOUmKjSC5UwS3vrUeAItPJi0+0vg30V3nDgBgxtWn8O4tY70tnGwOBw+kfYQeMokVg29kUJQRoP1U3YvxmW/Qe8tCXi6YQn2AFpwlLIwBXWPpnRjD19sP+jUur7bVB2jgH6BFWc24gEU/FWAOM3FGv0RMJhOvLtnNx+4NAcb1qGx0bU7v08VvXdaItPhm1/d5dtLmllT7PVdbfx6EEKI9aMuNA2OAnVrr3VrrOuB94LIG51wGzHH//CFwrlKq+W8o0WE0/JJuaaF+6XvG8Z8fjA0AT3/5E99uP9jofk+NsokDkiiprONFd2FZgJmLsli5q5Cb5qylotZO78Roat0RkAmoqLUD9dm1OHfQpqLyWDHoerapSfy+yxve53so906G7/iCC7NeIs/WFQCrT9A3dWxP78/WBr/JtXYnN81ZS0F5LS5MBJl1dT/WuDM5NpwFd47n6/smcnqfLvzwp5/x7i1jef/WsThdxk5Vz+s/MH8rK3cV+l0b3z9DT//Moso6RvdMCNqQvuFO2tb+PAghREfSltOdPYAcn9u5wOnBztFa25VSpUAiUBjsSWtra8nMzGzyhWtqapo9R4TmWK9l9gHjyzh7714S6g611LC8thysZsaiA3S3VDCim9EjM7/Cxjc7y/l5f6P0wzc7yzGbjODDCcSGh1FR5+TmN9fz2Dld2XighoIKI8B69itjYfxd76yjpNrhN9lYXmvnt7NWc0H/Tny+o9wvMHRRvybshe92EoaDHV/dwRlrPuAUgHDjvtUVQ7lj3zQK7Z7m5k6sJrC5H2tzuOiVYGXvYRtvr97nfX7Pc6d2spBfYcfpggv6x1K4fy/DukaQVVRLlS3wojSb00W/zlbyK+1MmrGUv1+YSv84Jz9malJijVIhN43uzOwNxXgqiVjD4LpZa5g9OZ2cUmMtW8M/w18OjmPej6VcNTiKnmPjWbe/iuK8PRS7E3J7D9fx6LfGBoV73lvHE+elUlLtCPhcR0N+z1uWXM+WI9eyZZ3I1/OE2zgQERHB4MGDmzwnMzOz2XNEaI7lWmbll/PCJ8bi+xdWlzDnxgEtXqW9xFoIHCA9vSeD+ycBcHhXEe9sXsUlYwYB8M7mVSTGGFFScqcI3r35dFzA7GV7UP168Nh3q7zPV+tw0SsxmoOlNd4ALYz6lWEuF6w7aGwCcLgg2hpGWudodhyqAGB4VBZz+00jOsy/gfm/qv7GzJ0ZAd+Db2xlDjNR7t5j4LvczTM7W1FbXwR3w0Ebo/rHsvmg77+FAss+bGPh3RPYvr+MbglRvPOFcX0G9zPKcwweDAP75JJXUsVz32Zx5zkDSOscTUpaPA98HfjP8HJrIfN+XE16ek/G9U9i3Oj618svq+Gydzy7OBPYtr+Muxbm0cX959ASnwf5PW9Zcj1bjlzLltXRr+f69euD3teW0515QLrP7TT3sYDnKKUsQDzGBgLRwXlrjQWpmdUSgtU8851i89QxK6uxMbpnAnV2Jxe/sIz4KCvTJ4/wrlHzta+oilq7k5+prvz+7H4kxxnrsDq5py9rbE6Gdo8DoMrmpKSinP/r8SLZIy7hswH3eQO0lbXjGf7jXP43Yj9x6jdNvhd3og+H00VxlZG58s2LeX4ud6896xYXSVFlHdO/MP51aTVDeufgOyQdLuO5J2ekea/PvHU5ftnAkWnxvLkyG4A3V2bTPSEy6J9hc/XmPBsNFv3xLO+UqstlXLtj/Tx4prjzK9p/fTUhhGhKW2bS1gIDlFJ9MIKxq4FrGpyzAJgKrASmAN9praV7cTuRU1zF25uKuT2lqsn2SYG0dqmFYDXP5txwmjd4uGfuJhwOIwdmc7i4ZkxPzvZpQbRkRwF/+nBLo+f2fACnjO7BffM2+72GyWTi/VvHUlJZx8z3XuP9fg83evx1u//Gkor6rFlWfgX//GZHk+8nyhpGlbvh5mWjUkmNj+blxbuYPLoHhRW1DEyJJSE6gpe+y6LK5qSqzk6t3Um0NYwqm5OYcCvlNUYAFxNuZsLAZG4Y35vc4mqGp8Uze9kehvWI9wuuPtqYx7h+RjsnzxozT8Hd4iob172xhocuGsypvTuzKPMQ0y4aRFa+kTEMpd6c7y7OwalxPD15RIt8Hjzr2p65ILX5k49CqL1dhRDiWLVZkOZeY3Yn8BVGCY43tNbblFKPA+u01guAWcBbSqmdQDFGICfaidySat7ZfJhLxlQf1ZdVa5Za8A0Cq+scvLky21sVP8pqVMlft9e/Gv+0j7ayfJrRgii/rIYb/7sWu9PVqEWSx+MLt3PPOf25akxP72t0j3GQtu0GBh/6iDP61Z/7YfG5/Dnvd9S4Ggcds5btIb1LFJU1doqrbERbw7A7oc5Rv+Ktyqcj+qebDvDIJGOq9lB5LUuzCokJt/Df5Xuxu7Ng5TXGGjpPUHXYt2q/Cb776RB/u3Qop/cxpjOnTx4RtC3TxIHJgDGl2inCwrAe8fyYV0pVnYOLR6Syu6DS25/T82d4NAF4S30ePJnAQH9mLSHU3q5CCHGs2nRNmtb6C+CLBsf+4vNzDfCr4z0uEZpQely2Jc+X/spdRby2dA/v3TKWnokx3uBh9vI9bMop4dNNxuJ1c5iJHQfLSYmLdBe27cPLS3bjckGE2URUuJnD1UbwY8KYIv3H1zvo3zWWXtXf8kjpdVBa//p2VxhX7nqGDVVNr5WoqLVxuNpGpCWMpKgwCqsD1z4DY8G+yWTiqS+MDQxLs4w9NF/8eBCzyUSnCAt9k2PZnGO0Z4qymqlzGGOODjdTVecgNtzC1DN6e4OmnOIq3li2B4D7z1eMSo/n3veNdk6etkwDUjoFzXTtcq+38/0ctFWtM99M4L+WH+LUoeUtvs6xvX/uhRAnDundKY5KKD0u2wvPl+n2A6XMW5fjbgQOg7p18gZoYRhlK27471o27ivh0U+28tHGXOPxwCk9O1PqDtA8xyKdh3mrz5+5YEt3BmVd571vVsFlDNz6CRk7v6QkKvBmAF/udpncfnY/CqudTB3Xi58P6cpZA5OYcdVIzCawhEHvxGgiwy3UOVxEWsPonxzj9zyTM3ow97ZxbD9QRmykhZ5doiirrR9znd3B6J4J1NidPL8oy7veK7ekmtkrspm9Ipu0zlFcO2uNd52Zw+nigueXsHFfScD+lO3pc9BwnWO1zXXc1jkKIURrOOF2d4rW5zstNrJbJNmljnbbX9H3S/W5b3ZQUetg6Y4CeiXGeKc+U+Mj2V1oFGf99Zie/Jhbylur9hFhCfOu6Vq1p9j7nFckLOJfPZ/ze50iexy/2f0U++lPWY2DX4xM5fdn9+fiGUubHF+P+EjySo0gYs6KbABG9+xM/o81LN5RyOTRaTwzZaRfBuvZrzTDesTx50/8e3h+sC4Xh9PF/ecrJgxI4rKXlhMdbqbW5sTudGF3Go3TLzulh9/0o29GKCHK6jdV+b8fD3D72xuosTXO7oXa6/R4abjOceWGH9nvSmj1dY7t8XMvhDgxSJAmjpjvl2FBzm6S0/u2y/6KnsXuYSYTo3smeNsv5ZZUe9/DwK6xPLagPthZlJlPlNVoVN4lxsqBUmMnZldLEa/1fpKR0Vl+r/HcwWuYeehqXISRGh9JmTvg+npbPqekJwRp2oS3IbsnQPNtbv7Ygm2UuNeQ5ZfVcsvEvt7HVdc5iI2w8NdPtzV8SsxhMH9DHv/+TQqDU+O4fWJfXvx+JzHhFrrHR6IPVTD9y5+4ZGR37/RjVn4597y/0fsc98zdxLs3n+7NmMVFGnXSAk3t+V7DRT8dYtqFg8g6VNGmnwPfadaEKDPjBrfOOkfpKyqEOB5kulMclUBTX+1NSlwkN53Zl1q7k/2Hq7G5K75+unk/324/yJSMNNZkF7PBvX7LHAYFFbW8utToOnCgtIYbEj8le8QlrBky1RugHSKdiT+9Ru8tC5lx6Bpc7l+jA6X102q1didPLAxeXNET8pjdv4HF7gAtMdpMta2+hdPLi3f5TanlllTz+rI9TBph7FzM6NWZaRcoAO78mdFuKiHKCKzG9UvC6YI/nD+Acve0Z2yEscYsp7iKJxZuZ9KMpRRU1GEJM2EOM1FQXsvFM0MrowHG56CyzsGMRVlU1jna5eegJXWEz70Q4sQhmTTRofiWPwCC/jzj2x1s21/mrV12sKy+3pnTBTe/uZ6+SdFkF9bXAXM4wYGLXuH7ebPPX+gVUd8WCuCvebcxp+gSQumdCf51zHwN6x5Hry7RfP7jQWIjrJRW27znjkiJ4Ps99WMqqqzjgueXMCUjjbvOGeDNaK3YaWwYWL+3hJ2c+2bFAAAgAElEQVTuhfsvfmcEkffP28ycG8d4z33q85+IibD4TdE9d+UoZi3bw+1n9SPCEkZVnZ1fjOjOhn0ldHJnz0Kd2pOF9EII0TokSBMdgic465cc4y1/AHh/LiivYcaiLPolx1BUUcuHGxrWRTYMSI5ld1EFDifs9gnQTDi5r9v73N31Xb/zN1UN5NbsRzhkT2yx93JGv0TmrTM2JZRV2+jaKZxD7jYCvgGah9NlrDc7rXcXnv1aA0adsl6J0ewtqqK02obJfZ7JZPQInTRzKV2ijer9sREWXr0ugzF9Er1TdJ2jjUBs4oAkTCYTv35tFecMSuH68X28rxtoaq/O7uS5b3Z4a4Q1zLbNuXFMi++mFEKIk5VMd4o2FagBeqBjDRucz1uXw/YDxhqzzAOlzFtvBD35ZbXsKqgM/nqHq/ApP8agyD1sHvpr9oy41C9Au2/fH+i9ZSG/3PmvFg3QAF5duocq95RmuNnkDdCa8/DHW6mxOenfNZbocDN7i+qvz5WnpvHVfRN5dspI5t42DqcLauxG9X4XcO2sNeSX1ZAUG8GItHi/wCqn2LheDTNhgab2fBugt0bXiEB/9kIIcbKSTJpoVZ4M2Pj+iSzfWdSoSnugwqCeY/2SY7yPnbPCqOP10g87AaMa/icbjWzZP7/eQaW7HdIL32VRa3cQTI3NiQU7j3SfxQ1Jn/ndt6T8FO7a9wCljtbPBNW6627UOkKfIoy0mHntugx6JcZw5jPfEWU10zc5hm37y/hoYx5/OF9510g9E6SmWcMdiltzS3lg/lYgtEyYJ5A7VFbDqt1F3H/+QK4YndZiC+mlUKwQQtSTIE20Ks+XblykJeCXb6D1TJ6fdX45L32/iy+37mfHISPbc7jKRo+ESPIO1zc49wRoAGU19XXBGsqI3s68fg8SZvIPjG7OfpRvy07HZKpvVH689UuOaTIDaDZBea2dq19dxfzbz2D6FSPo2SWKO9/dABgBXFm1zRsgBSsmmxIXyf3nKwrKa5g0PJUrX1lJlNXMKT0Tmi0p4Tu1+fjCbRRV2njvlrEtupBe1rcJIUQ9CdJEq6pv0dP4y7fheqanJ4/g620H+fJHY8H+f5dnA3gDNI+8w6FPp0Waangq7SUmd/7e7/iCwxOZlnsXVc4on7GG/LTNCtZKyqN3YhTZRdUMTInlFyO688L3O7GGmbA5XVjNJu9OVACr2diocMWoHsxbn0uN3cmEAUlM+Pv3WMOM+5wuV8g1u4b3iOfXr2VyzqAUpl8RWr/Mhhk4T0eDQA3oj5asbxNCCH8SpIlW4/ul+/SXRhsjz5dvXJTVf9otr5Sps9cYLZgsxlJJ3wzZkTordj1z+v610fGrdk1ndeXwo37eUHkCNJUSi3Y3HfeVXVQNQG5xFaPSEzhrYDITBybx6CfbeOiiQTz71Q7vurWHLhpEfFQ4qfGRzFufi8vl8tbsigk387t3NvDsr0ZSVefwC7CCNQL3zVaF2r7Jt0ZYSWUd185aTWWdg6c+z2RgSqdjDqakUKwQQjQmGwdEq/B86VbU2jGZ6nceltfaufiFZYCxe3DRH8/i3VvGMu1C5c1knZIef1Sv2Smsktd7/43sEZf4BWhvF13EwK0f03vLwmMO0EIrvlFvfzNZvyqbk+veWMM32/N5/hujhMbjCzOpczi8GbTHF2bidDkb1SwbmRbPEwu3A/DEwu2MSPO/br6L/D2Opa3RlIw0HE4jY1djc7bYZgGoDwI9n4dFfzyL6ZcPlwBNCHFSk0yaaBW+mZcfdAEj0uLZmlvKWSrZO6Xmm8XZV1wfSKzaU3JEr/WL+MW80OsffscqHFFcvXs6P1b3P7Y30sDZA5P4YUdh0BpoDZXXBl8j5+F5rhq7g5HdIsksqKXO4SI6PIxR6XFszSvlTx9uxRoG3eIiKK8xSmyYMJq+B8s8NVzf1RLZqtasut9WTdmFEKK9kiBNNCvYtFlzj8kprqK6zsGUjDRyiqtYubuQt1Zm8/DFgwFYs6eIf369g7F9OvPKkt1HNKYkSwn/6TWd02K2+x1/Mf9K/pX/G5yYj+j5QvX9jsIjOj8McGJ0FnA4PVO5LlwuI7v4yKRBTP/yJ+ocxrErhyfQpWt3fvfOBv75q5FcNDyVwopa/jRvC9/rQxwsq+Xla0dTWevABUGDpWDru1oiwJJgSgghjg8J0kRQgQrINgzS8its/M+nuKmHbykFgOe/3cF8d4HZF7/byVOXR7E1t5TVe4pZ7dO8vGkuftPlS55K+7ff0dy6ZK7b8wS7a48uWDCbwLcSRnOL/i0mePjiIWzMKeGzzQe8gVagx3h2oN75swHkl9Vw/wXKGyAt2LSf6f/7iahwC706RZB1qIJHvzlIcpyRSfzrgm0s31nIbWf145YJffheHwKMfpoXDkv1ex3fYKmpjJkEWEII0XFIkCaC8gRaf55kZL4ClUXIr7A3W1pj474Sb4AGsCSrkG8zD/K9LgDqm40H08N6iNl9HmNg5D6/40/tv5HXCi/nyFeK+XO4IDrcTFWdgyhrGDaHkzAT2AN0R4+0hmF3uBic2onX3T0+Zy/P5qJhqXy+9UDQ13jhuyxe/W2GX7mKG8/sQ1yUlbNVMp9syOPJLzJxgXe91+bcw7y9eh99kmJ4efEu73N5mqAHW6wvjcCFEOLEIBsHThJHU8ndE2j9Z7FRQDbQQnNP9ihYaY1b31rP/37074EJ8OG6PJa5+08GDtBc/D75A7JHXMLywTd6A7TM6t6ckfkGvbcs5LXCK2guQEt0tz9qjt3dhiAszIQLEy9eM9rb99Pq81sSH2Xl1ol9mfrGWooq6xjdM4GyGrtfgGZuMKQISxgud7/QH/NK/e6bkpFGSWWd9xqbw+Cpy4fy7i1jeXbKSAD+78vMoE3Qg5FG4EII0fFJJq0DO5K1YkdayT0rv5z7PtgEGH0iR6XHs6ewiotfWMbcW8byw44CMnp15l/LjSm4QKU1hnaPY9v+Mr4IEKRtO1AW8HX7R+zjnb5/JsXqPwX6YO5dzC2+oNlxN1RUZQvpvDr3fGdsuIXrxvbg7vc3YXYHZzZ3Rm1gSiz5ZbW8vmwPV52Wzlur9nLTmX25b+4mIixh3i4CDheobp3QB42ANiHKypOXD+O7zEMM6+G/AzO/rIZJM5did0e7difc8/4mEmMivDs3O0VYueb0ntx4ptFXc+Hm/XSKtIacGTuaNYVCCCHanmTSOrBAJRaCOZJK7p41TZ4+kZ0iLGw/UM77t45l+uXDqbE7mbEoi5vmrKXa5vIrxQBGaY23bhxDzxACgrhICxcPTeSR7rPJHnEJ36rfewO0LNdoTtv+Nr23LAwpQAs7tllPTu3Vmao6B68s2c3tE/ty+8R+AERYjCeuqLHz2nUZTL98OBcN6wZA52gr95zbn4Qoq/f9TB3Xiz2FlXSKtNC/ayw1did3vLuRe38+MODrulzQKcLC0NQ47+3r3ljj7YnpAl5ftgeH00VSbATXj+9zRJmxI/mcCCGEaD8kk9aBhRp4HWkl92BrmganxjE4NY4V7mnKm8b34axuDsaNHua37mlKRhrz1uV4OwcEMyJqBx/0m0ZkWB0k1R///d5pfFF6ZiiXwE/Dhfs9u0RzqKyaGnvzgWlclIXpVwxnV0EFt7+9gZ5donnq80wAau0uhqTGkXe4mmtnrWHODafxxw+M63nf3E0UV9URHW7xLtJ/b20Ot03sS43NwXXjehMVbg66JiwlLpKnJxstnu5938hcxkVauXliX64+Lb1F1pRJqyUhhOiYJJPWio5mHVioQi1K6smKebIyoRYfDbamyfd1F2zeT2mtw3vOmD5deO6bHfzvxwM8OH8LAF07RfitGosPdzC9x0yyR1zCggF/MAI04OvScYza/gG9tywMKUAzAVFWM6lxEX7HLWEmb0Ztf0mVN0Azh5m840iItPC7s/piCTNaLp3RLxETJi5+YRkOd6T34EdbOFxTP1WqD5bx/q1jeeiiQUydvdZ7PWvsTpwueP/WsX5FWM/ol8RrS/eQW1Ld7JqwCQOSuHaWkTkb2S0SFzBzUZZ3LMeypuxYitcKIYRoW5JJa0VHug4sVEdSlNRoqD2QgvLaZrM6DXnWMo3vn8jynUWcrZK56tVVfq9712d5LBuqSImL9L7f2yf29Wa1DpXXEh1u5mfxW3kp9YFGr1Fy+kI697uYHd/vxFqUDRVGL8gu0VaKm1hPFm4J47fjevL60j3eY1HWMObcOIa+ybG8u3ovMxbtxGKCAV1jyXSvD+udGE1JlY1Zy7N5eNIQLh3V3Zutmrs2x5s9czgh2momJsJCQUUtYKJLTDg3jO9Dp0hrwCwj1AdUnmzjvHU5pHWOavLP3zdzWZCzm+T0vi2yG1NaLQkhRMcmQVoraq1ppiMtsTC8RwK/fm0V5wxKYVy/xJCzMp6gKy7S4g02G77uez9sblTh/rVlRuB0ag8LN1uf5MK4ZX7PuyfuSjpNeIXFOyuY3C+N/LIaZi7KIspqpkdCFHmHq5sM0ABq7U5eXbLH71i1zck1r61i+bRzufvcgVTVOXl58S7+8ouhrNpdxKacEp785XBvoOp7HRxOFzPcYzijXyIb9x2mxu7w9s/sFGmhrNrWqFNCoCyXb/bqo415jOvXfJDuec6CIM95NKQUhxBCdGwy3dlKWnuayTMdmVNcxVsr9zKmT5eg5x5tsOg53+nTVsjTRcDzusNTGle4Py92OdkjLuHDxAu9AZrNZeHuopfovWUhP18xFYcp0huI+PZtfHjSIMCYhjQF2AjQPT6ScPdC/l5dohjXN5EFd47n6/sm8stTuvPM5JHeIGTigCTv+xjbN5HFOwqDTj827B350e/P8PYS7d0lGofTxQXPL2HjvqZbVvlOLw/tbmTXHv546zH3tjxaUopDCCE6rjbJpCmlugBzgd5ANnCl1rrRt59SygFsdd/cp7W+9HiN8Vgcz2mm5qZUj3TTQKDHPf3lT4DRxLuoss7bRWDGoiyeuSCV/LIafvPvL5iZ/jRje23ye55ZhZcTdsrTDE1LZPnbG4A6Ii1h3qyUx5SMNLLyy73TjV1iwvntuN6cPySFrbmllLvXh43vn8S1r68mv7yW0mobe4uLyC6s5JSenenVJcYbrGbll3Pv3I0A3Dt3I/efr4Cmpx99M2SWMBPR4WYq6xyU19q47+cDeHxhJjW2ABVufXiCPd+NADHhlkbvVwghhGhOW2XSpgGLtNYDgEXu24FUa61Huf/rEAEaNM7KeBaTt8aXdFNZsqPdNOB5XEWtHZO7RZLJBFU2o1l4cUWt9/V6VS4gZWEUa9TVjI02ghK7NZlZcZ/Se8tCCgf8H5NG9uTaWWuosRtThy4TfuPIKa7iiYXbuXhm/VhrbE5mLsoiPsrK5Iw0rh/fh4uGpxqlQexO7zkAuwoq/MpMeN+3e1NDeY2dB+Ybsf5HG/NYvbuo2fc/aeZS71RncaWNJxZmBr3ODfluBPCU0AjlugshhBC+2mpN2mXA2e6f5wA/AA+20VhaxfHokdhcliyUNUmBCp36Pu4HXcCItHi+3Z7PnBXZVNfV8tKXS/hnyqNkj9gJvjVpRzwJQx/CYgpj8M5CWLaaCQOSSImL5J5z+vPmyr1G4OSCG87o7R1Hbkk1s5bt4faz+nHzhD5Bx+o7rpLKOq58ZSU1didvr9pLj4QoAA6V1bBqdxH3n69I7xzF797ZQJ3DSZTVTN+kGLYdKGPaR1uZMDC5yaDZU7tsWI94Nuwr8QaEx1LCRDJpQgghjoSpLWonKaUOa60T3D+bgBLP7Qbn2YFNgB14Wmv9SXPPvWnTJldEREST59TU1BAZ2bG/MIuq7NwwP4cIi4l+XcLZVVxHrd3F7MnpJEaHHntvOVjNg18d4JkLUhnRLaqJ19rHzcmf8mDKa3737a5N4+bsx3j80jHYnS6+2VnOkK6RPL+igIJKB8kxZu4/syt//uYgERYTKTFmdpXYMJtgzpSeJEZb2HSgmoe+PsD081MZlRp4DA3Hc/2H+3C4jJZSvr0/4yPDKK1xct/4JN7eVEJBpYNO4WHcdloX5nhuR4Txjwu70yshPOhrfLOznNN6RONwubhu3j6cQN/OVg5VOo7qOofqRPhsthdyLVuWXM+WI9eyZXX061lVVbU+IyPj1ED3tVomTSn1LdAtwF2P+N7QWruUUsEixV5a6zylVF/gO6XUVq31riDnAhAREcHgwYObHFtmZmaz53QE0+ncKFtz5hFm7EqshcAB0tN7Mrh/UuMTyrLg+0lkDcv2O7yqy2OMveAv5G/cxh0jEjgzI42Vu4p4Z/Mqb4/J0T0T2FVQyaOL8pk2aTCn9e7Mf5dns6skj1sm9uXMjMFk5ZfzwidrAHhhdQlzbhzQ7Jq5/LIaMOXQKcLMwJROrNtrLGc8tVdnMt3tpl5YWURMhIUz+iWwNa+UZ5cXEhdZX3D27s/3N7lG0PPxyMovJy7qAIerbdQ4zbxxQwY5xdVHfJ1DdaJ8NtsDuZYtS65ny5Fr2bI6+vVcv3590PtaLUjTWp8X7D6lVL5SKlVrfUAplQocCvIcee7/71ZK/QCcAjQZpJ1MjnVKNeh0qdMBWx+DbU/6PyBxLEz8CKJSGes+lBBlZtxg43U9WdmLhnXjsy0H+NMFgxiQEustdzFvXQ4fbcwDYMGm/Zw1MJmps9ce0QYLz/TsAxcqrhht7FycvXwPJhOM75fEtbNWU1nnIDbCwqvXZTCmTyKFFbU8+5XmmtN7sijzENMuGkRWfkWz04+BNoBcO2sNSx/42RFdZyGEEOJotNWatAXAVOBp9/8/bXiCUqozUKW1rlVKJQHjgb8f11GewAIFIPe/OoePBz1KmO2w/8nj3oY+v2ny+XwDvhW7jEKuLpfLGzzml9Xw8MfG4v2h3ePILalm6uy1PHjhIC7zKSjb1NqtnOIqnv92B/M35PHeLWO9pSVuGN+H/LIaJvz9+4ABlaf10spdRd6dsKEEtLK2TAghRFtqqyDtaeADpdRNwF7gSgCl1KnA7Vrrm4HBwCtKKSfGLtSntdbb22i8JxxvADIgnqQdD0PMi8Ydnhqy3SfBGW9DeOdmn8s34BuVHs/m3FIA7vtgE2/fdDoDUjpRVm0jJtzC4WobJZV1vHadMW04+Qiygbkl1czfYGTiGq6lDCWgOpp6ccdjA4gQQggRSJsEaVrrIuDcAMfXATe7f14BDD/OQzt5HFrKFD0RdIPjZ30GPS45oqfyBEhDu8dx2UvL6RRhoWtcJAXltVz8wjI++t0ZXPGfFcc8bZhTXOn9OdAuy6YCqqOtFyeEEEK0FWkLdTKxV8HqW2Dvu/7He10Dp78KlpijfmpPgBQomzWsR/wxTxuu3FXorXUWbgmjrMYecoFg6WEphBCiI5Ig7WSQ9wUsvrjx8fOWQNcJLfpSwbJZgY4HqtEWSH5ZjXeDwbAecezIr6C6zsG0iwaFFGTJ2jIhhBAdkQRpJ6q6w7DiN7D/C7/D5T1vp9O4GWAOXiPseGmupZVHsCDrSNaHydoyIYQQHY0EaSea7HeN4MyXNZ7N6mMue7eK904fy7h2EKDBkS3klyBLCCHEyaateneKllR9EL4aB++a/AO0oX+Gq+3wq8NURht7MNqiw0QgDRfyZ+WXt/GIhBBCiPZFgrSOyuWCHS8ZgdnHqVC0yjge0xsu0XCNC0Y+AWHmdhcQHW3jdyGEEOJkItOdHU3FHvhhEpT95H/8lH/CoPvAZPI73B53NspCfiGEEKJ5EqR1BC4nbJsOW/7sf7zzKXDWAogOvj6rvQZEssZMCCGEaJoEae3Z4W3w3blQk+9//PRZ0O/GkJ9GAiIhhBCi45Egrb1x2mHTNPjpn/7HU86B8XPJqYo2aot1rmqybIUQQgghOjYJ0o5BqMVYQ1K4Gr6dCM46/+MT5kP6Fd6buXlFIdUWE0IIIUTHJkHaMQi1GGtQjhpYewfsfsP/ePpkGDsbrI17Sx5Nk3AhhBBCdDwSpB2Dow6YDn4L3/288fFzvoVujfrOe0mTcCGEEOLkIXXSjtIR1x6zlcGSK4y6Zr4BWr+b4apqo65ZEwGa1BYTQgghTi6SSTsKR1R7bN98WDbF/5g5Es5dDEljQn7N9lpKQwghhBCtQ4K0o9BswFRTAMuuhEM/+D9w8J9g5P9B2NFddimlIYQQQpw8JEg7SgEDpl2zYPXN/idGpcLPvoGEocd5hEIIIYToyCRIO1aVObD4F3B4s//xkf8HQx4Ekyz7E0IIIcSRkyDtWOR+Bksurb8dPwTO+hxie7fZkIQQQghxYpAg7VhEdzf6Zg59GPrf3qi5uRBCCCHE0ZIg7Vh0yYBf5rT1KIQQQghxApIFU0IIIYQQ7ZAEaUIIIYQQ7VCbTHcqpX4FPAYMBsZordcFOe9CYAZgBl7XWj993AYphBBCCNGG2iqT9iNwBbAk2AlKKTPwEnARMAT4tVJqyPEZnhBCCCFE22qTTJrWOhNAKdXUaWOAnVrr3e5z3wcuA7a3+gCFEEIIIdpYe16T1gPw3TqZ6z4mhBBCCHHCa7VMmlLqW6BbgLse0Vp/2lqvW1tbS2ZmZpPn1NTUNHuOCI1cy5Yl17PlyLVsWXI9W45cy5Z1Il/PVgvStNbnHeNT5AHpPrfT3MeaFBERweDBg5s8JzMzs9lzRGjkWrYsuZ4tR65ly5Lr2XLkWrasjn49169fH/Q+k8vlOo5D8aeU+gG4P9DuTqWUBdgBnIsRnK0FrtFab2vqOdevX18A7G350QohhBBCtLheGRkZyYHuaJMgTSl1OfACkAwcBjZprS9QSnXHKLUxyX3eJOB5jBIcb2itnzrugxVCCCGEaANtmkkTQgghhBCBtefdnUIIIYQQJy0J0oQQQggh2iEJ0oQQQggh2iEJ0oQQQggh2iEJ0oQQQggh2qE26d15vCmlfgU8BgwGxgSqy+Y+70JgBkbJj9e11k8ft0F2EEqpLsBcoDeQDVyptS4JcJ4D2Oq+uU9rfenxGmNH0NxnTSkVAbwJZABFwFVa6+zjPc6OIIRreT3wD+qLYb+otX79uA6yg1BKvQFcAhzSWg8LcL8J41pPAqqA67XWG47vKDuGEK7l2cCnwB73oY+01o8fvxF2HEqpdIy/D1MAF/Cq1npGg3NOyM/myZJJ+xG4AlgS7ASllBl4CbgIGAL8Wik15PgMr0OZBizSWg8AFrlvB1KttR7l/k8CNB8hftZuAkq01v2B54Bnju8oO4Yj+L2d6/N5lAAtuP8CFzZx/0XAAPd/twL/OQ5j6qj+S9PXEmCpz+dSArTg7MAftdZDgLHAHQF+z0/Iz+ZJEaRprTO11rqZ08YAO7XWu7XWdcD7wGWtP7oO5zJgjvvnOcAv23AsHVUonzXf6/whcK77X4rCn/zetiCt9RKguIlTLgPe1Fq7tNargASlVOrxGV3HEsK1FCHSWh/wZMW01uVAJtCjwWkn5GfzpAjSQtQDyPG5nUvjD4GAFK31AffPBzHSz4FEKqXWKaVWKaUkkPMXymfNe47W2g6UAonHZXQdS6i/t5OVUluUUh+6p07E0ZG/J1vWOKXUZqXUl0qpoW09mI5AKdUbOAVY3eCuE/KzecKsSVNKfQt0C3DXI1rrT4/3eDqypq6l7w2ttUspFaxlRS+tdZ5Sqi/wnVJqq9Z6V0uPVYgQfAa8p7WuVUrdhpGhPKeNxyTEBoy/JyvcLRA/wZiqE0EopWKB+cC9Wuuyth7P8XDCBGla6/OO8SnyAN9/YadRv9D4pNLUtVRK5SulUrXWB9yp5ENBniPP/f/dSqkfMP7lI0GaIZTPmuecXKWUBYjH2EAg/DV7LbXWvtftdeDvx2FcJyr5e7KF+AYZWusvlFL/Vkolaa0L23Jc7ZVSyooRoL2jtf4owCkn5GdTpjvrrQUGKKX6KKXCgauBBW08pvZoATDV/fNUjN1JfpRSnd27E1FKJQHjge3HbYTtXyifNd/rPAX4TmstjXYba/ZaNliXcinGehZxdBYA1ymlTEqpsUCpz/IHcQSUUt0860yVUmMwvo/lH2IBuK/TLCBTa/2vIKedkJ/NEyaT1hSl1OXAC0Ay8LlSapPW+gKlVHeMLfuTtNZ2pdSdwFcYW/nf0Fpva8Nht1dPAx8opW4C9gJXAiilTgVu11rfjFHq5BWllBPjL56ntdYSpLkF+6wppR4H1mmtF2D8hfSWUmonxuLjq9tuxO1XiNfybqXUpRg7xIqB69tswO2cUuo94GwgSSmVC/wVsAJorV8GvsAocbATo8zBDW0z0vYvhGs5BfidUsoOVANXyz/EghoP/BbYqpTa5D72MNATTuzPpsnlks+EEEIIIUR7I9OdQgghhBDtkARpQgghhBDtkARpQgghhBDtkARpQgghhBDtkARpQgghhBDt0ElRgkMIcWJQSiUCi9w3uwEOoMB9e4y7f2e7pJQ6D7hTay1t0oQQIZEgTQjRYbi7B4wCUEo9BlRorZ/1Pcdd+NKktXYe/xEKIUTLkSBNCNHhKaX6Y1Qc34jRguwipdRmrXWC+/6rgfO01jcrpVKA/2AUwnQCd2utVzV4vhXArVrrH923VwE3+Ra4VkqtA36jtdbu28uAO4FI4Dn3/6uA67XWWQ2e/0mgUGv9vPv2T+7x5SqlpgJ3AOHACozsmwScQpyEZE2aEOJEMQh4Tms9hKZ79s0E/q61PhWjY8brAc6ZhbszgVJqCEZmrmEHkrnUd9xIA7porTdhtJ2aoLU+BXgCeDLUN6CUGgZcDpyhtR6F8Q9p6TYhxElKMmlCiBPFLq31uhDOOw9QSinP7c5KqSitdbXPOXOBjUqpacCNwOwAz/MB8BlGIHYVMM99PAF4UynV7yjew3nAacA69/iigJyjeB4hxAlAgjQhxImi0udnJ2DyuR3p87OJZjYZaK0rlFI/YDRkn4x7HVyDc/YqpSrcmbarqO8J+rxbK+QAAAE2SURBVBTwldb63+5p2P8FeAk7/jMZnvGZMPqPPhpsbEKIk4dMdwohTjjuNVwlSqkBSqkwjClEj28x1nwBoJRqFIC5vQ68CKzQWpcGOWcu8BAQobXe7j4WT/106/VBHpcNZLhffwyQ7jO2K5VSSe77EpVSPYM8hxDiBCdBmhDiRPUg8BXG4vtcn+N3AOOVUluUUtuBWwI9WGu9GmPhf6CpTo95wDUYU58ezwD/UEptwD+b1/BxKUqpH4Fbgd3u19wK/A34Vim1BfgaSGnqTQohTlwml8vV1mMQQoh2RymVDnwDDNZay1+UQojjTjJpQgjRgFLqBowM3MMSoAkh2opk0oQQQggh2iHJpAkhhBBCtEMSpAkhhBBCtEMSpAkhhBBCtEMSpAkhhBBCtEMSpAkhhBBCtEP/D3eeQ6HBPEwMAAAAAElFTkSuQmCC\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(1, figsize=plt.figaspect(.4))\n", "ax_train = np.arange(len(y_train))\n", "ax_test = np.arange(len(y_train), len(y_train)+len(y_test))\n", "plt.plot(y_test, y_test, label=\"true\", c='orange')\n", "plt.scatter(y_test, y_predict, marker='2', label=\"predicted\")\n", "plt.title('Test dataset: Regression values')\n", "ax.set(ylabel='y value')\n", "ax.set_xlabel('True y value')\n", "plt.legend();" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Forecasting\n", "## Load a dataset\n", "Load shampoo sales dataset from sktime containing monthly sale counts of shampoo over three years." ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "0 266.0\n", "1 145.9\n", "2 183.1\n", "3 119.3\n", "4 180.3\n", "Name: ShampooSales, dtype: float64" ] }, "execution_count": 6, "metadata": {}, "output_type": "execute_result" } ], "source": [ "shampoo_series = load_shampoo_sales()\n", "shampoo_series.head()" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(1, figsize=plt.figaspect(.4))\n", "shampoo_series.plot(ax=ax)\n", "plt.title('Shampoo sales')\n", "ax.set(ylabel=shampoo_series.name)\n", "ax.set_xlabel('Month');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Split the data into training and test data\n", "We will train a neural network to forecast shampoo sales over the next 6 months, using the first 30 months of data." ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [], "source": [ "train, test = temporal_train_test_split(shampoo_series, test_size=6)" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(1, figsize=plt.figaspect(.4))\n", "train.plot(ax=ax, label='train')\n", "test.plot(ax=ax, label='test')\n", "plt.title('Shampoo sales')\n", "ax.set(ylabel=shampoo_series.name)\n", "ax.set_xlabel('Month')\n", "plt.legend();" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Train and test a deep learning model\n", "\n", "A reduction strategy allows us to solve forecasting tasks using a deep learning time-series regressor and a rolling window approach." ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [], "source": [ "window_length=10\n", "fh = [1, 2, 3, 4, 5, 6] # forecasting horizon\n", "\n", "regressor = MLPRegressor(nb_epochs=500, verbose=False)\n", "\n", "forecaster = RecursiveTimeSeriesRegressionForecaster(\n", " regressor=regressor, \n", " window_length=window_length)\n", "forecaster.fit(train)\n", "predict = forecaster.predict(fh)" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "113.03383581075074" ] }, "execution_count": 11, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# Evaluate the forecast (root mean squared error)\n", "np.sqrt(mean_squared_error(test, predict))" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(1, figsize=plt.figaspect(.4))\n", "train.plot(ax=ax, label='train')\n", "test.plot(ax=ax, label='test')\n", "predict.plot(ax=ax, label='predict')\n", "plt.title('Shampoo sales')\n", "ax.set(ylabel=shampoo_series.name)\n", "ax.set_xlabel('Month')\n", "plt.legend();" ] } ], "metadata": { "file_extension": ".py", "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.7.5" }, "mimetype": "text/x-python", "name": "python", "npconvert_exporter": "python", "pygments_lexer": "ipython3", "version": 3 }, "nbformat": 4, "nbformat_minor": 2 }