diff --git a/Graded Assignment 3 /Graded Assignment 3/ASSIGNMENT_3_GROUP_NO_1/ASSIGNMENT_3.ipynb b/Graded Assignment 3 /Graded Assignment 3/ASSIGNMENT_3_GROUP_NO_1/ASSIGNMENT_3.ipynb new file mode 100644 index 0000000..7bcb431 --- /dev/null +++ b/Graded Assignment 3 /Graded Assignment 3/ASSIGNMENT_3_GROUP_NO_1/ASSIGNMENT_3.ipynb @@ -0,0 +1,879 @@ +{ + "cells": [ + { + "attachments": {}, + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# ASSIGNMENT 3" + ] + }, + { + "attachments": {}, + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Task 1:- Handle Missing Values and Remove Outliers\n", + "##### 1) Load the \"Apple Adjusted Close Price\" dataset into your preferred programming environment.\n", + "\n" + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "[*********************100%***********************] 1 of 1 completed\n" + ] + } + ], + "source": [ + "import yfinance as yf\n", + "dataset = yf.download('AAPL')" + ] + }, + { + "attachments": {}, + "cell_type": "markdown", + "metadata": {}, + "source": [ + "##### 2) Check for any missing values in the dataset and handle them appropriately (e.g., interpolation, filling with mean/median)." + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "Open 0\n", + "High 0\n", + "Low 0\n", + "Close 0\n", + "Adj Close 0\n", + "Volume 0\n", + "dtype: int64" + ] + }, + "execution_count": 2, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "dataset.isnull().sum()" + ] + }, + { + "attachments": {}, + "cell_type": "markdown", + "metadata": {}, + "source": [ + "##### If there are missing values, we can handle them using various techniques such as interpolation, forward/backward filling, or filling with mean/median. " + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": {}, + "outputs": [], + "source": [ + "dataset = dataset.fillna(dataset.mean())" + ] + }, + { + "attachments": {}, + "cell_type": "markdown", + "metadata": {}, + "source": [ + "##### 3) Detect and remove outliers in the dataset using the z-score method or any other suitable outlier detection technique.\n", + "\n" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": {}, + "outputs": [], + "source": [ + "from scipy.stats import zscore\n", + "import numpy as np\n", + "\n", + "z_scores = zscore(dataset['Adj Close'])\n", + "threshold = 3\n", + "\n", + "outliers = np.abs(z_scores) > threshold\n", + "cleaned_dataset = dataset[~outliers]\n", + "\n", + "# In this example, we set a threshold of 3, meaning any data point with a z-score greater than 3\n", + "# or less than -3 is considered an outlier. We then create a new dataset cleaned_dataset that excludes these outliers." + ] + }, + { + "attachments": {}, + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Task 2: Decompose the Time Series\n", + "##### 1) Plot the time series data to visualize the overall trend and seasonality patterns." + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "import matplotlib.pyplot as plt\n", + "\n", + "plt.plot(dataset.index, dataset['Adj Close'])\n", + "plt.title('( APPLE CLOSE PRICE )')\n", + "plt.xlabel('( TIME-PERIOD )')\n", + "plt.ylabel('( ADJUSTED CLOSE PRICE )')\n", + "plt.show()\n" + ] + }, + { + "attachments": {}, + "cell_type": "markdown", + "metadata": {}, + "source": [ + "##### 2) Apply the seasonal decomposition of time series (e.g., using the seasonal_decompose function in Python's statsmodels library) to decompose the time series into its components: trend, seasonality, and residual." + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": {}, + "outputs": [], + "source": [ + "import pandas as pd\n", + "import matplotlib.pyplot as plt\n", + "\n", + "# Converting 'Adj Close' column to numeric.\n", + "dataset['Adj Close'] = pd.to_numeric(dataset['Adj Close'])\n", + "\n", + "# Converting index to datetime.\n", + "dataset['TIME-PERIOD'] = pd.to_datetime(dataset.index)\n", + "dataset.set_index('TIME-PERIOD', inplace=True)\n", + "\n", + "# Trend component\n", + "window = 30 # window size \n", + "trend = dataset['Adj Close'].rolling(window=window).mean()\n", + "\n", + "# Seasonality component \n", + "seasonality = dataset['Adj Close'].diff(periods=window)\n", + "\n", + "# Residual component\n", + "residual = dataset['Adj Close'] - trend - seasonality" + ] + }, + { + "attachments": {}, + "cell_type": "markdown", + "metadata": {}, + "source": [ + "##### 3) Plot the decomposed components and interpret the results.\n" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plt.figure(figsize=(12, 8))\n", + "plt.subplot(411)\n", + "plt.plot(dataset['Adj Close'], label='( ORIGINAL )')\n", + "plt.legend(loc='best')\n", + "plt.subplot(412)\n", + "plt.plot(trend, label='( TREND )')\n", + "plt.legend(loc='best')\n", + "plt.subplot(413)\n", + "plt.plot(seasonality, label='( SEASONALITY )')\n", + "plt.legend(loc='best')\n", + "plt.subplot(414)\n", + "plt.plot(residual, label='( RESIDUAL )')\n", + "plt.legend(loc='best')\n", + "\n", + "plt.tight_layout()\n", + "plt.show()" + ] + }, + { + "attachments": {}, + "cell_type": "markdown", + "metadata": {}, + "source": [ + "##### RESULTS INTERPRETATION :-\n", + "(a) Trend:- Represents the long-term upward or downward movement in the data.\n", + "\n", + "(b) Seasonality:- Captures the repeated patterns or cycles in the data.\n", + "\n", + "(c) Residual:- Represents the random and irregular fluctuations not accounted for by the trend and seasonality." + ] + }, + { + "attachments": {}, + "cell_type": "markdown", + "metadata": {}, + "source": [ + "##### 4) Additionally, use the Hodrick-Prescott (HP) filter to decompose the time series into trend and cyclical components.\n" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "import statsmodels.api as sm\n", + "\n", + "# Perform Hodrick-Prescott (HP) filter\n", + "cycle, trend = sm.tsa.filters.hpfilter(dataset['Adj Close'], lamb=1600)\n", + "\n", + "# Plot the trend and cyclical components\n", + "plt.subplot(615)\n", + "plt.plot(trend, label='Trend')\n", + "plt.legend(loc='best')\n", + "plt.subplot(616)\n", + "plt.plot(cycle, label='Cyclical')\n", + "plt.legend(loc='best')\n", + "\n", + "plt.tight_layout()\n", + "plt.show()\n" + ] + }, + { + "attachments": {}, + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Task 3: Check for Stationarity\n", + "##### 1) Perform both the Augmented Dickey-Fuller (ADF) test and the Kwiatkowski-Phillips-Schmidt-Shin (KPSS) test on the original time series data.\n", + "\n", + "##### a) The ADF test tests the null hypothesis that a unit root is present in the time series, indicating non-stationarity. \n", + "##### b) The KPSS test tests the null hypothesis that the time series is stationary." + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "ADF Test - p-value: 1.0\n", + "KPSS Test - p-value: 0.01\n" + ] + }, + { + "name": "stderr", + "output_type": "stream", + "text": [ + "C:\\Users\\Himanshu\\AppData\\Local\\Temp\\ipykernel_13704\\1608771434.py:8: InterpolationWarning: The test statistic is outside of the range of p-values available in the\n", + "look-up table. The actual p-value is smaller than the p-value returned.\n", + "\n", + " kpss_result = kpss(dataset['Adj Close'])\n" + ] + } + ], + "source": [ + "from statsmodels.tsa.stattools import adfuller, kpss\n", + "\n", + "# ADF test\n", + "adf_result = adfuller(dataset['Adj Close'])\n", + "print(f'ADF Test - p-value: {adf_result[1]}')\n", + "\n", + "# KPSS test\n", + "kpss_result = kpss(dataset['Adj Close'])\n", + "print(f'KPSS Test - p-value: {kpss_result[1]}')\n" + ] + }, + { + "attachments": {}, + "cell_type": "markdown", + "metadata": {}, + "source": [ + "##### 2) Repeat the ADF and KPSS tests on the residual obtained from the decomposition and interpret the results.\n" + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "ADF Test on Residual - p-value: 1.1475224667472064e-27\n", + "KPSS Test on Residual - p-value: 0.01\n" + ] + }, + { + "name": "stderr", + "output_type": "stream", + "text": [ + "C:\\Users\\Himanshu\\AppData\\Local\\Temp\\ipykernel_13704\\396065953.py:6: InterpolationWarning: The test statistic is outside of the range of p-values available in the\n", + "look-up table. The actual p-value is smaller than the p-value returned.\n", + "\n", + " kpss_residual_result = kpss(residual.dropna())\n" + ] + } + ], + "source": [ + "# ADF test on residual\n", + "adf_residual_result = adfuller(residual.dropna())\n", + "print(f'ADF Test on Residual - p-value: {adf_residual_result[1]}')\n", + "\n", + "# KPSS test on residual\n", + "kpss_residual_result = kpss(residual.dropna())\n", + "print(f'KPSS Test on Residual - p-value: {kpss_residual_result[1]}')" + ] + }, + { + "attachments": {}, + "cell_type": "markdown", + "metadata": {}, + "source": [ + "##### 3) Interpret the test results to determine if the time series is stationary or not.\n", + "\n", + "##### (a) For the ADF test, if the p-value is below a chosen significance level (e.g., 0.05), we reject the null hypothesis and conclude that the time series is stationary.\n", + "\n", + "##### (b) For the KPSS test, if the p-value is above the significance level, we reject the null hypothesis of stationarity.\n", + "##### By performing these tests on both the original data and the residual, we can assess the stationarity of the series and the effectiveness of the decomposition." + ] + }, + { + "attachments": {}, + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Task 4: Make the Series Stationary\n", + "\n", + "##### 1) Visualize the original series and the residual series after decomposition.\n", + "\n" + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plt.figure(figsize=(10, 8))\n", + "\n", + "plt.subplot(211)\n", + "plt.plot(dataset.index, dataset['Adj Close'], label='( ORIGINAL )')\n", + "plt.legend(loc='best')\n", + "\n", + "plt.subplot(212)\n", + "plt.plot(dataset.index, residual, label='( RESIDUAL )')\n", + "plt.legend(loc='best')\n", + "\n", + "plt.tight_layout()\n", + "plt.show()\n" + ] + }, + { + "attachments": {}, + "cell_type": "markdown", + "metadata": {}, + "source": [ + "##### 2) Apply different methods to make the residual series and the original series stationary (e.g., differencing, logarithmic transformation).\n" + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "diff_series = dataset.diff().dropna()\n", + "diff_residual = residual.diff().dropna()\n", + "plt.figure(figsize=(10, 8))\n", + "\n", + "plt.subplot(211)\n", + "plt.plot(diff_series.index, diff_series, label='(DIFFERENCED ORIGINAL)')\n", + "plt.legend(loc='best')\n", + "\n", + "plt.subplot(212)\n", + "plt.plot(diff_residual.index, diff_residual, label='(DIFFERENCED RESIDUAL)')\n", + "plt.legend(loc='best')\n", + "\n", + "plt.tight_layout()\n", + "plt.show()\n" + ] + }, + { + "attachments": {}, + "cell_type": "markdown", + "metadata": {}, + "source": [ + "##### 3) Compare the results visually and choose the best method for further analysis.\n" + ] + }, + { + "attachments": {}, + "cell_type": "markdown", + "metadata": {}, + "source": [ + "##### By comparing the differenced and log-transformed series visually, we can choose the best method that appears to make the series stationary for further analysis.\n" + ] + }, + { + "cell_type": "code", + "execution_count": 13, + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "c:\\Users\\Himanshu\\AppData\\Local\\Programs\\Python\\Python311\\Lib\\site-packages\\pandas\\core\\arraylike.py:396: RuntimeWarning: invalid value encountered in log\n", + " result = getattr(ufunc, method)(*inputs, **kwargs)\n" + ] + }, + { + "data": { + "image/png": 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O2Csv57HHHoOjoyOWLFkiezw6OhrR0dE4c+YMRo8ebVKbyuPnn39GWloaHn30Udnj2me+ZMkS5OXlSY5pRwiMHDnS6M+s/jOUM2rUKGRnZxv9HpTHq6++CqVSiS+//FJSvnHjRmRlZSEmJkbys/P7779j7dq1BtnqyyMuLg75+flo06ZNJVtPREREZD66773OJ2WafN66mFsG52s9tvQAVGrjIxA3npbGE28PbQoXR9M7FO0Ne7rtxKBBgzBz5kykpaWhVq1apda9c+eOwdrItWvXxoIFC7B9+3YMGDAAH330EZo3b46rV6/i7bffRlFREb755hux/pIlS9CtWze0b98e8+bNQ8uWLaFUKnH06FFcuHChUknd5EyYMAHvv/8+1qxZA0dHR6SlpeG5554z6NF+9NFHsWzZMkycOFH2Oh988AGio6MlvZyxsbGYO3cunnrqKTRr1gzOzs7YvXs3li9fjrfeesuk9tWrVw8fffQRpk2bBldXVzz11FNwcnLCP//8g1mzZmHatGno1KmT0fMVCgUmT56MefPmYcKECXB3dzeos2PHDhQVFUnWp9ZXXFxs8KGJQqFAcHCwuJ+bm4vk5GQUFxfj5s2bWLduHT7//HO89NJLBr3xuhYvXoyuXbuKIwDq16+Ps2fPYvr06ahTpw4++OCDUr5D0mf42GOPGRzv0qULpk2bhmnTpuHatWt45JFHEBYWhqSkJCxbtgwKhQJKpWmfE7q6uuLdd9/FpEmTJOXLli3D0KFD0apVK0l5s2bN8Prrr+O3334Tz8nLyzP4PfHy8jLICaC1d+9eREZGGj1OREREVNWSMvIwYvF+9GgYiE+faIUjV0uWeP1mdFss3nmlzED8Skq2QVl+kRoNZ29E1wYB+PX5kve4UbM2olgvGP9iZGs81KZOJV+JbWNPt51o0aIF2rZtiz/++KPMuitXrkSbNm0kXz/88AP8/f1x6NAh9OnTBxMmTECDBg3wxBNPoEGDBjh69KgkqViDBg0QExOD/v37Y+bMmWjVqhXat2+Pr7/+Gm+88Qbef/99s74+Pz8/PP3005g3bx6WLVuG/v37yw4hf/TRR3Hs2DGcOnVK5iqaYeDjx48XE74BQN26dREREYF3330XnTp1Qtu2bfHll1/i3XffxezZs01u45QpU7Bu3Trs3bsX7du3R/PmzbFy5Up8++23pa4TrvXMM8+gqKgIixcvlj3u4eFRasANAGfPnkXt2rUlX+Hh4ZI6P/zwA2rXro0GDRrgkUcewblz57B69eoye5gbNmyIY8eOITIyUvy5ePHFF9GnTx8cPHgQfn6lZ6LUfYZqtVq2zieffIKVK1ciJiYGw4YNQ8OGDfH4449DrVbj4MGD8Pb2LvUeup555hnJz+zt27exYcMG2d58pVKJhx9+WJIT4NKlSwa/JxMmTDB6v99//x0vvPCCye0jIiIispTCYjVupOaiy8IdSMkqwJoTN/HroWuY++9Zsc6g6GD8MaEz/pjQBd2i/GWv02LuZjy17IjsMbUA7LtyFxEzNuDqXc3oUP2Ae1THsBofcAOAQqhM5iwblZmZCR8fH2RkZBi8ic/Pz8fVq1dRv359syQmq0obNmzA9OnTcebMGZN7BImo8s6ePYu+ffuKWeyNseW/L0RERGQbcgqKET239JWXWoX54p9J3cT9A3F3MfqHw3B1UuL7p9rj6eXygfbCR1pg5trTssfOvTfIYMWnk3MGwsfdMFFwdVVanFgZjMzsyNChQ/Hiiy/i1q1b1m4KUY2SlJSEX375pdSAm4iIiMgcDsTdxamb6UaPrzx8vcxrzBjcRLLftUEAfnu+E3ZM6w0PF/m514+0rYMnO4QZvWa797cZlNlSwG1JnNNtZ6ZMmWLtJhDVOMYyshMRERGZ043UXIz+4TAAIG7BA3BQGiaxvZFW+vKlZ94dJLtWdrcozXKqSiOJcT95rFWpiZ7zdJYYmzGkCZ7pElFqO2oS9nQTERERERFVc8evpaHfZ7vF/QUbNUv95hYW4++YWyi6v462NllahL874hc8gDPvlix9HBnoIRtw6wrxkZ8Cp7wf4Hs4l56FfGKvBpjYqwHcyqhXkzDoJiIiIiIiqibm/nMGDy7eh3ydnmMAePTbAygsLklGu2zfVRSp1Gg2ZzOmrI5Fw9n/4XD8PVxIzgIA/PhMByiVCni6OGLb1J746NGW2PZ6L5PasGRMW8n+5yNLVn7ZMrUXgr1djJ7bs2GASfeoSTi83IgamF+OiCyMf1eIiIioLD8fvAYA2HLuNh5sFVpq3SU74yT7I78/JG43CPQQt6OCvBAV5GVyGx5oURv1AzzErOQPt6krHqvj64bDs/ojv0iFvZfvIjOvCNP+PCke7xrFoFsfe7r1ODlpJvvn5pY+F4KIqLy0f1e0f2eIiIiIdBUUl/Ruq9WCuL/rYops/c+3XZItr1vLrdT516b4+2VNdvPX+jWUPe7q5IABzYLxaLu6ssepBHu69Tg4OMDX1xcpKZofbHd390r/wBJRzSYIAnJzc5GSkgJfX184OHCOExERERka+V1JT/Xy/Vcx/a+TWP9qD4z76Wi5rvO3znJgFeXj7oSERUPLdc6EXpGVvq89YtAtIyQkBADEwJuIyBx8fX3Fvy9ERERE+prX8UbsjXQAwKmbGQCAQV/skdSJeWcA2ry/tdTrBHgan3NtCfELHsD55Ew0CTHf2tb2hEG3DIVCgdq1ayMoKAhFRUXWbg4R2QEnJyf2cBMREVGpnMt4r7B0bFvU8nDGD0+3xwu/HBPLV73YGR7OjmgU4gkXx6p/v6FUKhAd6lPl97UVDLpL4eDgwDfJRERERERkcQXFKizff7XUOoOb1wYADGgWLJZ9M7otOkf6W7RtVDkMuomIiIiIiKzsi22XSz0+bUAjyf7ON3ojNacQ7cJrWbJZZAYMuomIiIiIiKystNTNEf7ueLlPlKSsfoAH6gd4GDmDqhMuGUZERERERGRlKkGQLXd1UuKjx1rBQckVlWwVe7qJiIiIiIis7F52IQDgzcGNEXs9HVvO3caF9wfDyUHJgNvGMegmIiIiIiKysuz8YgCAo1KB759ub+XWkDlxeDkREREREZEV7b18B5vOJgMAHJQM0ewNnygREREREZEVPbXsiLitUqut2BKyBAbdREREREREVpKWUyjZ33v5rpVaQpbCoJuIiIiIiMhKnv/lmGR/7vBmVmoJWQoTqREREREREVnBrfQ8HL+WJu4ff7s//D1drNgisgT2dBMREREREVnBR5suiNujOtZjwG2nGHQTERERERFZmFotGJRdTM4St+c/1Lwqm0NViMPLiYiIiIiILCSnoBjRczcDAIa3CsXXo9qIxy7oBN0OSkWVt42qBnu6iYiIiIiILKBYpRYDbgD4v5OJ4vaj3x4QtwdFB1dpu6hqMegmIiIiIiKygN8OX5ctFwRBkkBtwcMtqqpJZAUMuomIiIiIiCxg6e44g7I/jt7APZ21ub8d05YJ1Owcg24iIiIiIiIzEwQBSRn5BuVvrjmFXw9dE/eHtKhdlc0iK2DQTUREREREZGbX7uWK2xsmd5cc+2Lb5apuDlkRg24iIiIiIiIzm/PvWQBAPT93RIf6WLk1ZE0MuomIiIiIiMzocPw97Ll0BwDQOdLPaL1X+kRVVZPIihh0ExERERERmcmZWxkY+f0hcf+NgY2N1h3ZIawqmkRWxqCbiIiIiIjITBb+d16yH+TtCgBY81IXSXmvRoEI83OvsnaR9TDoJiIiIiIiMoPUnELsv3JP3P/yydbitquTg6Tu6E71qqpZZGU2H3QvWrQICoUCU6ZMsXZTiIiIiIioBvtqe0lW8oRFQzGidR1xP9BLuha3l4tjlbWLrMumg+6jR4/iu+++Q8uWLa3dFCIiIiIiqsEEQcCKAwlGjwd5uUr2g31cjdQke2OzQXd2djbGjBmDH374AbVq1bJ2c4iIiIiIyMbcyy5ASma+Wa518XaWuD3rgSZl1m8Q6GmW+1L1Z7NB96RJkzB06FD079+/zLoFBQXIzMyUfBERERERUc10JSUbTy8/gnbzt6Hjgu3Iyi+q1PVupOZi8Bd7xf1xXetXtolkR2wy6F61ahVOnDiBhQsXmlR/4cKF8PHxEb/Cwpian4iIiIiophr1wyFxHW0AaDFvC67ezanw9Xp8tFOy7+woH2a91LsBAGAMk6jVKDYXdN+4cQOvvfYafvvtN7i6mjYPYubMmcjIyBC/bty4YeFWEhERERFRdXQlJRt3sgoMyvt8sqvMcwVBkOwfS0jF1zrJ0wCgU30/o+dPG9AIa1/uinkPRpvWWLILNpcy7/jx40hJSUHbtm3FMpVKhT179mDx4sUoKCiAg4M0Hb+LiwtcXFz0L0VERERERDXMZ1svVui8538+hp0XU7B5Sk9EBXni8u0sPLb0oEG9357vZPQajg5KtK3HfFQ1jc31dPfr1w+nT59GbGys+NW+fXuMGTMGsbGxBgE3ERERERERAKTlFGLj6WQAgL+HM94Z1kxyXL8nW+tQ/D1sO38bKrWAWetO4+SNdAz4fI9BvYRFQ+HoYHMhFlmYzfV0e3l5oXnz5pIyDw8P+Pv7G5QTERERERFpnbqVIW7//mJnNAr2wqXkLKw+ppl+ml1QDC9XJ8k5xSo1nvz+kLgfez0dI77Zb3BtR6XCQq0mW8ePYYiIiIiIyK7FXE9DRl4R4lKyAQBBXi5oFOwFAHilb5RYLzlDunyYIAho/8E2SVmhSi17jysLHjBnk8mO2FxPt5xdu3ZZuwlERERERFTNpGTlY+aa09h+IUWvvCSRWpifu7j9zj9nsOrFLuJ+VkEx0nONLyfWvI43ztzKxP+e62jGVpO9sYugm4iIiIiISF/XhTtQrDacp92strds/UPxqcjKLxKHmG85e1s8FujlIsl6vmFyd0T4e+B6ai6aGrkeEcDh5UREREREZAcEQYAgCPjr+E18tOkCVGpBNuAGgO+eaifZD/QqWenox71Xxe272SVB9vZpvSTnBHm5wsPFkQE3lYk93UREREREZFMEQcCF5CwEe7ti/5W7mPvvWaTmFKJVmC9O3kgHACzZFSfW/3xkK7y++iQA4PIHQ+Ckl2H8mS7h+GTLJQDA7cx8qNQCvtl5BZ9t1ZQ91Tkc3q5OGNgsGFvOaXq/vVwZSpFp+JNCREREREQ25e/YW2IQrUsbcOsb2iIUQ1uEwslBAYXCMMu4btlfx2+icYiXGHADgK+7Zrj59EGNxaDb1YlLFZNpGHQTEREREZFNWXHgWrnqOzuWPqv2yQ5h+HjzRQBAsVpArF7w/nz3SABAw2AvrH25K9ydGXCT6Tinm4iIiIiIqr1NZ5Kw/byml/lWWp5Zr+3v6YL5DzUX97VLh0X4uyNh0VD4uJes3d22Xi00CeE8bjIde7qJiIiIiKjayi9Sock7m8T9yAAPMcHZmpe6IDLAEypBQPv524xdwiRjOtXD23+fAQAcvpoKABjbObxS1yQCGHQTEREREVE1svNiCs7czICHiyOe7RaBAZ/vlhyPv5sjbrcL95O9xtWFD+BWeh4e+/agyWtoy831Pn4tDc/3KEfjiWQw6CYiIiIiomoht7AYz/50VNy/nZWPG6nlG0pet5YbFAoF6tZyx6FZ/SrVnom9GlTqfCKAQTcREREREVUTRxPSJPvf7Y4Xt6NDvXE2MVPc3/tmH0ndY2/3x++Hr+OZbhFmaUsdXze0CvM1y7WoZmPQTUREREREViUIAn7YG48FGy8YrTN7aFPcyy7E9vO3sejRlgZLdgV4uuDVfg0r1Y5H2tTB2phbAIA9ekE9UUUx6CYiIiIiIqtRqQU0fvs/FKsFo3VmDGmCLpH+UCgUGN4q1GJtmTs8Wgy6HZSGc7yJKoJLhhERERERkVUIgoAGszYaBNw73+gt2Z/Yq4FsojNz83F3wpHZ/XB63kCL34tqDvZ0ExERERGRVfy0P8Gg7L0R0agf4IGERUOrvkEAgrxcrXJfsl8MuomIiIiIyCreW39O3L44fzBcHB1KqU1kmxh0ExERERHZue92x+F6ai7eG9EcF5Oz8M3OK9hwOgmAZk3rJbviEOrriofb1K2yNqVk5ovb/73WgwE32S0G3UREREREdiy3sBgL/9NkBd95IQWJGfmS4/VnbhS3H2pdp0rmTgNA/N0czf0DPNC0tneV3JPIGphIjYiIiIjIju28cEfc1g+49WXmFVu6OSLtBwGCYDxrOZE9YNBNRERERGTHziRmmFx345kkcXvVkeuImLEBL/xyDAXFqsq14VYGPt1yEdkFxVCpBTy+9ABO3kgHADg5MCQh+8bh5UREREREdiTuTjZ+O3Qd0wY2gruzA77dFSdbb3K/hni9f0PJ8PKZa0/jkbZ14KhUYsba0wCAreduo/Hbm7Btak9EBXmVqy1nEzMw4X/HcTMtDwBQqFLjZmoejiakiXW+Ht2mvC+RyKYohBo4niMzMxM+Pj7IyMiAtzfnjxARERGR/YiYsQEAUM/PHbMeaIqJvx4HAAxrWRtPdqiHrg38oVSWzNv++UAC5v57tszr9moUiJ/HdzQoV6sFyfXk2mLMkVn9EOTNJbqoerBUnMiebiIiIiIiO5GRVyRuX0/NFQNuAPh6VBvZJGnPdI1ATmExPtp0sdRruzhKh4Gn5xai9XtbAQAx7wxALQ9n8VhuYTHmbzhf6vXOvjsIHi4MR8j+cQIFEREREZGdOH3T+Pzt0rKSj+0cXua1t5y7jWv3csT911bFitvrTyVK6k7+PQYrD183eq1GwZ4MuKnGYNBNRERERGQnxi47XKHzvF2d8Gy3CIPyvk2C8OtzncT9Xh/vAgDE38nG7kslWdHv5RSK29kFxdh2PkVynd+e7yTZX/lC5wq1k8gW8eMlIiIiIiI7EHcn2+ixQdHBZZ6vm0X86S7h6BYVgEHRIUjTCai1+n66W7K/+extTOzVAK5ODth98Y5B/UAvFxya2Q/L9sXjqc4RCPB0KbM9RPaCQTcRERERkY1KzshHz493orBYLSlf/2p3vPjLMXFd7i+fLDtDeJswX3H7vRHNxe1aHs744OHmmL3uDACg7ftbDc49n5SJJu9sAgBE+LuL5VMHNEJekQoNgzyhUCgwe2gz018ckZ1g0E1EREREZIOKVGp0XrjdoLxno0A0r+ODAzP7AQAEQSh1PrfWwOgQvD20KTpE+Bkc6xEVKG6n6vR8fzWqDSb/HiOpm3AvV9ye3K9h2S+EyM4x6CYiIiIiMkGxSg2lQmF0eayqlFNQjB4f7ZQ91jjYU7JvSsANAA5KBZ7vESl7zM3ZQba8bT1fo9fr2SjQ6DGimoSJ1IiIiIiIylCkUmPY1/vQ99NdyC0stlo7CovVOH4tDdFzN0t6nHXV83OXLa+MAE9neLlK++uUCsDd2Xgf3hcjW5u9HUS2iEE3EREREVEpVGoBDWf/hwvJWUi4l4u31py2WlvG/ngYj357QFI2KDoYJ94ZgBlDmmBAs2A83j7M7PdVKBQ4NXegpOzMu4Pgp7M2NwCEeLvC1UmJE+8MMDhGVFMpBEEQrN2IqpaZmQkfHx9kZGTA29vb2s0hIiIiomrs/fXnsGzfVUlZwqKhVd6O/CKVmKxM18k5A+Hj7lRlbQAAV6eS4eZX7+Zg7I+H8Vz3+ni4TR0UFKsR4uNaJe0hMidLxYmc001ERERENZ5aLeBudgGCvA2DxVVHrhuU/X7kOkZ1rFcVTRN9vPmiZH/hIy3wZIcwk+dsm4NusK1VP8AD+2f0rbI2ENkaDi8nIiIiohrv9T9i0XHBduy8kGJwLKdQ07s7tnNJkD1zbdUOMc/ML5L0tv/2fCeM6livSgNuIqoYBt1EREREVKOdTczAP7GJAIBnVxyFWq2Zffng4n2ImLFBrGfN5a9aztsibv89qRu6RQVYrS1EVD4MuomIiIioRhv61T7J/o/74nE3uwCnbmZIyoO8XPF6/0bifsSMDZiySrpGdWUkZ+TjzK0M6Kdc0n4IoBUdypxERLaEQTcRERER1VjFKrVB2YKNF9B+/jZJmbaX+9W+UZLyv2MTkXd/+HllTPjfMXReuB3Dvt6H+jM3YvelO+KxzPwicfvIrH5wcuBbeCJbwkRqRERERFRjZeWbtuZ2xwg/AIBSaTiH+m52AcIquTb25rO3JfvPLD8CABjWsjbWn0oCADg5KGQTvRFR9caPyYiIiIioxrqbXQAAcC6l9/j57vXRLcpf3H+pdwPJ8R4f7cS/JxMrdP+rd3Pw+upYo8e1ATcAFKlq3Eq/RHaBPd1EREREVGON/vEwAKBQpca3Y9ripd9OiMcOzewnu970lZRsg7LJv8fgwVah5b5/n092lfscIrIt7OkmIiIiohrrTlaBuD2kRW20qusDQDOcXC7gBoA5w5rJll+9m1Pm/QqL1Rj4+W5Ez9mE/VfuGhw//95go+f2bhxY5vWJqPph0E1ERERENdKmM8ni9iePtwIAzBneDAOaBeODh5sbPS/Mzx2zH2hqUG5Kr/Xk32Nw6XY2cgpVGHO/l11r1Yud4ebsgEfa1BHLzr47CFcXPoAjs/thxbMdy7w+EVU/HF5ORERERDXSxF+Pi9uPtasLAGgX7ocfnvYr89wXekaia5S/wXJjZXF3cZAtT1g0VNwe370+cgtVeKVvFDxcNG/Xg7yYQI3IVrGnm4iIiIioAqJDfSTBMgB8uOlCqeecvJFuUNa/abBkv3kdHyx9qh2a1/GpdBuJyPrY001ERERENVJkgAfi7+Zg5fOdKnWdZ7tF4Kf9CQCAb3fFIaegGEFeLihWC/hi22XEvDMAtTyckV1QjLg7hvO+vxnTplL3J6LqjUE3EREREdU4mflFuJGWCwCVXmN7QLNgMegGgF8OXpMcb/P+VrzYMxJ9GgcZnDuhZyRcHOWHnBORfWDQTUREREQ1zvbzt1GkEhAV5FnpoDsjt6jMOt/viUd6bqG4P2NIE/wdcwsv9oys1L2JqPpj0E1ERERENc6eS5rluno2rPwyXAFeLibV++PYTQDAqI5hmNirASb2alDpexNR9cdEakRERERk10Z9fwi9Pt4JQRAAAHsu3cG6mFsAgPi72ZW+fvvwWpg3vBki/E3rMb+XXVh2JSKyGwy6iYiIiMgupWTlo+8nu3Aw/h6u3cvF5rO3AQCfbrko1knNqXwArFAoMK5bffzzSne4O0vnZ3u6OBqs+T33wehK35OIbAeHlxMRERGR3UjOyMeDi/dhTKdwJNzLQfzdkmzhE389jg8fbYGTNzPEslUvdjbbvX3cnHB63iAoFUD9mRsBAEFeLojw9xDrHJjRF6G+bma7JxFVfwy6iYiIiMhuvLXmFFKyCvD5tktGjp8Wty9/MARODuYd+OmgVEj224XXQou6PlAoAD93Z9T2cTXr/Yio+mPQTURERER2I7ew2KR6HSP8zB5w6/p6VBusOXETs4c2hberEw7N7AdnByUUCkXZJxORXWHQTURERER2QwHTgtohLUIs2o7hrUIxvFWouB/szR5uopqKidSIiIiIyGYM+3ovImZswI974w2OqdUCjiSklnmNVmG+GNc1wgKtIyIyxJ5uIiIiIqr28otU+HTLRZy5lQkAmL/hPOZvOC8eXzq2LZIy8g3OW/dyV5xJzMSDLUPReeF25BWp8NO4DhzmTURVRiFoFyysQTIzM+Hj44OMjAx4e3tbuzlEREREVIZOC7bhdmZBuc5xclDg/HuD4Xh/7rYgCChWCxady01EtstScSJ7uomIiIio2itPwP3OsGZ4uE0d+Hk4S8oVCgWcHNjDTURVix/zEREREVG1VaRSI2LGhnKd07aer0HATURkLQy6iYiIiKhaycgtQrv3tyJixgY0nP2f5NiAZsGInTMAD7epI5a9+2C0pE50qE+VtJOIyBQcXk5ERERE1crqY9dxL6fQoHzVi53RMcIPSqUCn49sjc9HthaPebs54vXVJ+Hu7ABnR/YrEVH1waCbiIiIiKqVnAKVQdmVD4aICdHkPNymLrxdnRAZ6GnJphERlRuDbiIiIiKqNq6kZOPL7ZclZbMfaFpqwK3Vr2mwpZpFRFRhDLqJiIiIqNpYtu+quP3GwEbo3TgI0aFc4pWIbBcnvBARERGRVWQXFGP9qUSo1IJY9vuR6+L2oOgQNK/jA4WCy3wRke1iTzcRERERVZl/TyZi8u8x+GZ0W0xaeeJ+aQwSFg01qFvP371qG0dEZAE22dO9cOFCdOjQAV5eXggKCsJDDz2EixcvWrtZRERERFSGyb/HAIBOwK0RMWMDWr27Rdw/OXcgXBwdqrRtRESWYJNB9+7duzFp0iQcOnQIW7duRVFREQYOHIicnBxrN42IiIiIKigjrwgA0Ky2N3zcnKzcGiIi87DJ4eWbNm2S7K9YsQJBQUE4fvw4evbsaaVWEREREZE5qAWh7EpERDbCJoNufRkZGQAAPz8/2eMFBQUoKCgQ9zMzM6ukXURERERU4lyiae/BXukbZeGWEBFVHZscXq5LrVZjypQp6NatG5o3by5bZ+HChfDx8RG/wsLCqriVRERERPTn8RtGjzkoSzKUR/h7VEVziIiqhEIQbHv8zksvvYT//vsP+/btQ926dWXryPV0h4WFISMjA97eXPeRiIiIyNLyClVoOmeTQXnMOwNQy8MZxSo1XlsdiwaBnpg6oJEVWkhENV1mZiZ8fHzMHifa9PDyV155BevXr8eePXuMBtwA4OLiAhcXlypsGRERERHp0g24177cFbfS8jC0RW0o7/dwOzoo8c3ottZqHhGRxdhk0C0IAl599VWsW7cOu3btQv369a3dJCIiIiKSkV+kQlpuoaSsbb1aaFuvlpVaRERUtWwy6J40aRJWrlyJf/75B15eXkhOTgYA+Pj4wM3NzcqtIyIiIqKPNl3Akl1xAICXejcQy/e+2cdaTSIisgqbnNOtUChky3/66SeMGzeuzPMtNVafiIiIqKZSqwUcTUjF5rO3cS4pA4fiUw3qtKjjg/97tbsVWkdEVDbO6dZhg58TEBEREZldbmExjl9LQ/eoAKOdElVlbcwtvPHnyVLrdG3gX0WtISKqPmwy6CYiIiKq6fKLVGg2ZzMAYGKvBpgxpIlV27Pm+M0y6wR6MbEtEdU8Nr9ONxEREVFNcuZWBiJnbkCTd0qygS/dHWdQT6UW8O7/ncXPBxKQkpVv8XYdjL9XZp3+TYMt3g4iouqGPd1ERERENmTY1/sMyur5uRuUNZi1Udye++9ZJCwaarE2dVm4XbY80MsFd7IKNG0Y3gwRAR4WawMRUXXFoJuIiIjIRlxJyZYtT9dbkkvOjDWnMO/BaCRl5KOenzsclOaZAx53JxtJGdKe9FEd6yH2RjrWvdwVSRn5yCtUoVkok9cSUc3EoJuIiIjIRhQWq2XLM/OLcfxaKtqF+wHQZBLXt+roDaw6ekPcN1fP9/V7ueJ2qI8rDszsJzlen73bRFTDcU43ERERkY04cyvD6LG3/z4rbt/LKbvn+7/TSWZp07MrjorbXA6MiMgQg24iIiIiG/HmmlOS/aggT3G7d+NAcfuf2FtlXusvE7KNlyY9txARMzaI+04OCvh7Mjs5EZE+Bt1ERERENkAQDIeMx90pmeMd6usmbs/fcF7cjnlngOz1tl9IqVR7Wr+3VbK//tUelboeEZG9YtBNREREZANyC1UGZYtHtRW3V+y/KnteLQ9nrHyhk0G5k0PFE6nlFxm2pVGwp0xNIiJi0E1ERERkA76TWYt7cPMQMXi+kZYHALibXSAebxdeCwDQtUGAwbkyHecmO5uYKdk/NLMfFArzZEMnIrI3DLqJiIiIbMBXO64YlCkVwJdPtgEANL+/JNfLv50Qj7/cu4G4PblvlOTcYrWAjNyiCrVl9dHr4va+t/ogxMe1QtchIqoJuGQYERERUTV1JSULV+/mYkCzYHg4OyCnUIX24bUwuHkIvF2doFAo4ObkAEATRANAkapkWTEPl5K3epP7NcRfx28iIsADB+LuAQBupufCx92nXG0qKFYh5nq6uF+3lntFXx4RUY3AoJuIiIioGipSqdH/sz0AgIHNgpFzf073Cz0jMSg6RKzn5KAZuKhdw1s3IG6ok93c0UEprqHdYt5mZOUXQyWznndp3vn7DP536Jq4P+uBJuU6n4ioJuLwciIiIqJqKPZGuri95dxtcdvHzUlSTzunu0illgTRrcN8jS7hlZVfDAD45eA12ePG6AbcAODp4mSkJhERaTHoJiIiIqqGYq6nyZZHBnpI9p0cNW/n4u7kSJKofTOmLcpSnrW6swuKDcqYsZyIqGwMuomIiIiqoQUbL8iWB3lJk5Y5O5S8nVtxIAEA4OHsgDo663ZX1vV7uej+4Q6D8ia1vc12DyIie8Wgm4iIiKiaURuZa927caBBmaPOetvf7tIsK2bubOLf7YlDul6m88Wj28DThemBiIjKwr+URERERNVIkUqN11fHyh77alQbg7IIfw+Dsrg7OWZt02+Hr0v2ExYNNev1iYjsGXu6iYiIiKqRef+exfpTSbLHvF0NE5e53l8yTFf9AMNAXNf7I6JNbs9WnSRuRERUfgy6iYiIiKoR/V5lrdIC6X5NgiT7reqWvvZ2n/v1XRzLfiv4wi/HJPud6vuVeQ4REZVg0E1ERERkA0oLpBc+0kKyP6lPVKnX0iZfKy5jnW7t2t+6lo/rUOo5REQkxTndRERERNXErfQ8cbt7VAB+fb4Tlu6Owy8HEjB9cBOj5wV5u+LyB0Ow5vhN9GsajEAv+fW5tRzvB90qtYDsgmJ4ODtAoVAY1EvUac/EXg3wUq8G8GDyNCKicuFfTSIiIqJq4pEl+8Xtn8d3BKAJdif2alDmuU4OSjzZsZ5J93HSyXjefO5mAPLJ0c4lZYrbbw1uLBuYExFR6Ti8nIiIiKiauJ1ZIG47KC0X4Do5GL4FVMkMNX/5txPiNgNuIqKKYdBNREREVA3kFhaL27MfaGrRe8kF3flFKnFbEATZIJyIiMqPw8uJiIiIqoF4nbW1n+9R36L3kutFT80phJuTA5RKBZ7/+Riu3Mm2aBuIiGoKBt1EREREViAIgmTI9sL/zgMAmtfxtspQ7h4f7USglwsOz+yH7RdSJMdWvdi5yttDRGQvOLyciIiIqAolpuchYsYG1J+5ESq1ALVawOqj15GYng8AyClQlXEFy7mTVYDU3EKD8kbBXlZoDRGRfWBPNxEREVEVWvTfBXE7MT0Pq45exzc748Sy1wc0skazRO3nbzMo83blW0YiooriX1AiIiKiKvDKyhNYfyoJdXzdxLKMvCJJwA1ActySnBwUKFKZlizNUSbxGhERmYZ/QYmIiIiqwPpTSQCAW+l5YtnYZYcN6jUI9KiS9lhySTIiIirBoJuIiIioDIIg4GZartmvm55bJNlvEuIFX3dns99HzohWdarkPkRENR2HlxMRERGV4c9jN/HmmlN4pU8U3hjUuNzn7718p8w6CYuGVqRpFTb3wWZoF14Lp26l49dD16v03kRENQl7uomIiIjKsHz/VQDA4p1Xyn1ubmExnlp2pNQ6w1rWrlC7KsPd2RFPdAhDhH/VDGcnIqqpGHQTERERlUF/GHh5TF19Ura8VV0fAMDI9mH4YmTrCl+/sgqK1eL235O6idtfPtkadWu54ZvRba3RLCIiu8Hh5URERERlUAumZfnWd/xaGjadTRb3FzzcApvOJkMQBPwyviMUCusnM3uwVSg+3nwR7cJrIdTXVSxvF14L+97qa8WWERHZBwbdRERERKW4m12AlKwCcf/6vVzU83c36dxHvz0g2R/QLBijO9Uza/sqK8zPHbFzBsDL1Qm6HwH4e7hYrU1ERPaEw8uJiIiIjLiQnIn287dJyt74S364uL6F/52X7I/vVh+BXtUzkPV1d4aDUgGlUoFjb/fHoZn94ObsYO1mERHZBQbdREREREYM/mKvQdmRq6m4fi8XN1Jz8e/JRHResB2XbmcZ1Ptud7xk/4kOdS3WTnMK8HRBiI9r2RWJiMgkHF5OREREVE49P94p2R/61V5c/uABAEBSRh5irqdLjr/UuwGahHhXVfOIiKgaYdBNREREJCNDL2N51wb+OBB3T7Zukaok0Vrvj3dJMoKfnDsQPm5OlmkkERFVexxeTkRERCTjemquuL18XHu0qONTav1ilRqCIEgCbgAMuImIajgG3UREREQyDl8t6dXu3SgIvRoFllo/KSMfd7MLJWXB3tUzcRoREVUdBt1EREREMn7ce1XcVioViA4tvae7x0c7cUdnaTEA2Dq1l0XaRkREtoNBNxEREZGeu9kFSM7MB6BJggYAPu5OWD6uPRQK4+el55b0dPt7OMPblUPLiYhqOgbdRERERHp+PpAgbkcFeorbfZsE48L7gyV1ezQMELdH/3gYANAl0h/H3xlg2UYSEZFNYNBNREREpEe3h3pgdLDkmIujg2T/1b4NDc5vWpvLgxERkQaDbiIiIiI9H2w8DwAI8XaFl8wQ8beHNgWgyWresb6fwXEnx1LGoBMRUY3CdbqJiIiIdBSpSpb80s7r1vd8j0iM7lQP7s6at1IPtAjBxtPJ4nEnJfs1iIhIg/8RiIiIiO7LK1Sh4ez/xH0nB+M91tqAGwAWj2qL/k2DxP2cwmLLNJCIiGwOg24iIiKi+5rO2STZ/2tiV5POUyoV+PGZDiX7paU4JyKiGoVBNxERERGAXJne6VZhvhW6FpcKIyIiLQbdRERERACOJaSZ7VqRgR5muxYREdk2JlIjIiIiAnA3u6DS11g8ug1ir6djaIvaZmgRERHZAwbdREREVOOtP5WIqX+cFPcHRQdjYq8G5b7OsJahGNYy1JxNIyIiG8egm4iIiGq8V1bGiNsOSgW+e6q9FVtDRET2hHO6iYiIyG6p1QL6frILETM2IPZGuknnjGjNnmoiIjIfBt1ERERkty6lZCH+bg4A4KFv9iNixgbsvJAiqRMxY4Nk/+PHWlVZ+4iIyP4x6CYiIiK7VawSDMqeXXHUaP01L3WFg5JrbBMRkflwTjcRERHZrewCw7W3tYpVauiH5A241BcREZkZg24iIiKyW/pDybUe+/YAjl1Lw/RBjUvqvtEbvu7OVdU0IiKqITi8nIiIiOzWd3viZcuPXUsDAHy8+SIAwMfNCfUD2MtNRETmx6CbiIiIajx3ZwdrN4GIiOwUg24iIiKyS0Uqtbi98oVO+PeVbkbrJmXkV0WTiIioBrLZoPubb75BREQEXF1d0alTJxw5csTaTSIiIjJq05kknE3MsHYzapS72QUAAAelAp3r+yPc3/jw8UHRwVXVLCIiqmFsMuhevXo1pk6dirlz5+LEiRNo1aoVBg0ahJQU+WQpRERE1nT6ZgYm/noCQ7/aZ+2m1Ci/HboOAHBUKqBUKuDsYPxtz0dcm5uIiCzEJoPuzz77DC+88AKeffZZNGvWDEuXLoW7uzuWL19u7aYREREZuJ6aK24nZeRZsSX2T60W8OPeeBy/lorFO68AKBlm7uxo+Lanb5MgHJnVDz5uTlXaTiIiqjlsLuguLCzE8ePH0b9/f7FMqVSif//+OHjwoBVbRkREJC/As2QZqh/2XLViS+zfsn1XMX/DeTz6bcl7gndHNAegGWa+980+Ynmber5YPq4Dgrxdq7ydRERUc9hc0H337l2oVCoEB0vnXgUHByM5OVn2nIKCAmRmZkq+iIiIqkJBsQof3V+WCgCW72fQbUl7Lt8xKGtV10fcDvNzx45pvTCuawS+HdOuKptGREQ1lM0F3RWxcOFC+Pj4iF9hYWHWbhIREdUQS3fF4/j9NaG1nllumPzzdmY+Ptx0ASlZzKJdGfX83A3KvFylQ8cjAz0x78FohPiwh5uIiCzP5oLugIAAODg44Pbt25Ly27dvIyQkRPacmTNnIiMjQ/y6ceNGVTSViIgIf50w/J+z+5Jhb+x7/3cO3+6KQ8cPtldFs+xWYrrhnPn6AcazlhMREVmazQXdzs7OaNeuHbZvL3lTolarsX37dnTp0kX2HBcXF3h7e0u+iIiIqoKDQiFbnl+kkuxvOJ0kbi/bxyHoFVXL3Vmyf2hmPyu1hIiISMPR2g2oiKlTp+KZZ55B+/bt0bFjR3zxxRfIycnBs88+a+2mERFRDbf66HVsOpOMxaPbAgAS7uXK1tMG3YO/2IMOEX6SY++vP4fnute3bEPtVG6h5vv6/kPN8VTncCu3hoiIyEaD7pEjR+LOnTuYM2cOkpOT0bp1a2zatMkguRoREVFVe2vNaQDAj3uv4tTNdKP18ovU+Gl/AhLu5RoNzKn8cgqLAQAezg5WbgkREZGGTQbdAPDKK6/glVdesXYziIiIZH2+7VKpx/devoMvt18W9x2UCqjUgqWbZdfuZBVg7+W7AAB3Z5t9i0NERHbG5uZ0ExER2YPpf52S7DPgrrzBX+wRtwuKVaXUJCIiqjoMuomIiMxEEIwHzjum9YK/h7PR41R593IKxe1B0fIrmhAREVU1Bt1ERERmUlCsli2f3DcKkYGeODSLmbSrwswhTeDqxDndRERUPTDoJiIiMpPsgmLZ8ssp2QAAJwf+27UUQRDgqNQsz8ZebiIiqk7435+IiMhMLt3Oki2v5+9exS2peQpVahTfnxfv58lh/EREVH0w6CYiIjKDPZfuYPQPh2WPTezZQNz+/ql2VdWkGmXdiVvitjuHlhMRUTXCoJuIiMgMftgbL1v+5ZOtUUsngVp0HZ+qalKNMmPtaXHbkcP4iYioGuF/JSIiIjPQrg+tTz+hua+bk9FrjO1cDwBwf2oylcPAZsEAgP5Ng63cEiIiIilHazeAiIjIHni6OIqJ1DpH+uFQfCoAQIA06vZwkf7rfb57fbw9rBnUagF3cwrw66Hr4Ird5add5rxvkyDrNoSIiEgPe7qJiIjMYEyneuL2b893FreDvFxLPe/tYc0AAEp2b1dKsVqzXJuTA7+PRERUvbCnm4iIyAy0a3RP6tMADkoFfni6PS7dzkLXBv4mX0MBTcCoPySdylas0nzTuCwbERFVN/zPREREZAb3cgoBAO7Oms+zBzQLxqQ+UVAoDHtef3y6PQDgk8dbVV0D7ZggCNh3RTOn3pE93UREVM2wp5uIiKgSftwbjztZBfi/k4kAgLvZBWWe079ZMOIWPAAHvSHlMvE5meBg3D1xmz3dRERU3TDoJiIiqqAV+69i/obzkrJjCWkmnasfcFPFHdAJutVqjs0nIqLqhR8HExERVdC8/ztnUDZzSJMKX083DBc4sdskgiBg8c4r4r5PKUuyERERWQODbiIiIjNqH+Fn7SbUKAfj70n2O0eanriOiIioKjDoJiIiqiC5OdjOjhX/16qbdI0d3WUTBAGjfzgs7p+aN5BLrxERUbXDoJuIbM7G00nYfv62tZtBhABPF2s3oUa7m10o2fd25dByIiKqfhh0E5FNuZtdgJd/O4Hnfj6GzWeTK3yd/CIV9ly6g4JilRlbRzVNQZF5f34kc7rNemX7cT4pE7PWnUZKZj6W7bsqli8Z09aKrSIiIjKO2cuJyKa88MsxcXvC/44jYdHQCl1n1rrTWHviFp7uEo73RjQ3V/OohsnML7Z2E2qcIV/uBQCsPHwdni4lb2MeaFHbWk0iIiIqFXu6ichmZOQVIeZ6eqWvU6xSY+2JWwCAXw5eq/T1qGZKzsg3KGtRx6dS19SdI87s5YaKVWrJfnaB5kOPwdEh1mgOERGRSRh0E5HNmPPPmUpf40ZqLqJm/ycp23g6qULXOnMrAxEzNmDDqYqdT7bt/04mGpQ936O+FVpSc2iDbH1bzlV8qgkREZGlMegmIpvx3+nKv7Hu8dFOg7KXfzuBgmIVTt5IR2GxWuYsecO+3gcAmLTyRKXbRbbnQnKWQdmDrUIrdU0FmHm7NFvOyidQVHNQABERVWMMuonIZjg5VC4gKW24bvv52zDim/1YsPG8SdfSH+Yadye7Um0j27PmxE2DMoXcGmIVxDhSQxAE7Lt8F9kFxfhhb7xsnX9f6VbFrSIiIjIdg24isgkfbrqAnELDTNE5RoabyrmTXWD0WNb9hFgrDiTgXin1tN5ac1qy3+/T3ZJ9QRCQlV9kctvItuh/6AIA/ZoEVf7C7Og2sP18CsYuO4wHF+/D5RTDD7eeaF8XLev6Vn3DiIiITMSgm4hswre74sTt5nW8xW25N+HG/LQ/Qdz+4en2ODyrn2y9x787aPQaGblFaD9/m2wvp64Za06jxbwtnO9thw7H30Ojt0vyAhya2Q/Lx7XHl6PamPU+zKMGXL+Xi+fvr1gQfydHcqxdeC3smNYLHz3WyhpNIyIiMhmDbiIbkJKVjw2nkpjN+L5GQV7idnl6k3UD9wHNghHs7SpbL9hLvhwAWr23BXeN9IRHzNiAgZ9rerxXH7sBQDPfW80Jp3Zl5PeHJHOIQ3xc0bdJsGT5qooy4+h0m7f38h30/NgwBwMAbJ7SE2te6orIQM8qbhUREVH5MegmsgEdP9iOSStPYMs5+SRC9k7/w4Y29XzROdIPAHAvu7DUc3WHn/doGAAAaBLiZay65n5GZtPKBc+T+0ZJ9i/dzkZGnvSDgPQ8DjOn8jP2c6jrxPU0TFp5AimZhsuXlft+glCtPth7atkRo8cal/E7TEREVJ0w6Caq5mKup4nbB67ctWJLrOfw1VRxe0jzEIzpFI6g+73R+r3OT35/EBEzNmD/lbvYeDoJ0XM3I2LGBrz063FxuaEp/RuK9d9/qLnB/Q7FpyI1xzCYT5IJbB5vH2ZQ1urdLZL99NzSPxgg2zW0RW2zXq88Hd0qtYBHlhzAhlNJGPPj4QrdT/tBkkot4OElB/Dk94dw5lYGR2cQERGZEYNuompu1ZEb4nahTPKmmuD0zQxx+9ux7aBUKuDlqhnKO3/DebE3WxAEHIrXBOhjfjyMKatjxfP+O5OMO1maAD3Qy0Usf6pzOJ7sYBg4b5VZ9/erbZfF7WXPtMe3Y9oizM+9zPYbW1uYbIduEOrm5CBuP96+rlnvo9QZX64u49f9r+Mlfxu0uQ2SM/Lx9fbLyDRh2sWMNacQOWsjvtsdh2eWH0HsjXQcvpqKYV/vw5PfH6rYCyinIpVaNikdANRyd5ItPzlnoCWbREREZHaVn4BGRBbz57Eb4txgAPj9yA0sfKSlFVtkHWcSNUH3xF4NxDIHZUlw8nfsLYzpFI78Iumbd/01t2+m5QEAark7S8oXPdoSz3arj1BfV7SYp+mldnIw/ExS91n0axosbv/0bAc8+9NRo+2vjkF3XqEKH22+gNo+rmhbrxbaR/hZu0nV1oXkTDyx9CBGdwpHQbEKeUWaLPqOSgU6R/qb9V7uzg5wUCqgUgvIzC+Cm7OD0braD5h0dV64HQCw42IK1r1sfBkttVrAqqOan+eF/10wOH4kwfDa5pZfpEK/T3cj2NsFa3XamltYDDcnB/RtEiwmLJzQKxKhPm54on1Yqd8TIiKi6ohBN1E1lVNQjOl/nbJ2M6yusFiNf2ITAQCRgR5ieZ7O8mEujpo34RdvZ5l0zVBfN4My7RzR/k2Dse38bUkAv/5UIu5kFaBVmC9O3kgX54Zr9WkchIRFQ9HmvS1IyzXsYczOr35B9/pTiZJs7nvf7GNSr31NNOefs8jML8bS3XGS8h3TesPVybwBoEKhgI+bE1JzCpGeW2Q02R8A+LhJe4J/1FnDOuZ6uuw5ey/fgaeLI84kZpbZlqt3c1A/wKPMehV1+GoqbqXn4VZ6HtJyClHLwxmXbmfhkSUH0DjEC8evaabWDIoOxluDmkCpZJY5IiKyTRxeTlRNJWXkWbsJEkkZebiQbPhGPbewGEeuplpsDmh6Xsl86OahPuL2n8dLlux648+TSMnKx0Pf7DfpmqUFSq5Omj+Ls9adxrx/z+L4tVS8sjIG7/7fOZy8kQ4AeLSt/JDipWPbSfab1tYsbZZTWPVB9820XOy7bDwHgP5UhY2nubSZIAj4evtl7LqYIik39rPt7GiZf6EeLpqfz9JGSBSr1AbZ0udvOF/qdW+k5uKpZUfw8JIDeOfvM2W2Q26KhblcScnGGp3f4TbvbwUALNl5BdkFxWLADQCRgZ4MuImIyKaxp5uomjpyNc2gLEhnLnJV+nFvvPiG/tDMfgjxKel9e311LDafvY2WdX3w7yvdzX5vlU7A0yzU22i9jzddNOl6742ILvW4ttccAFYcSMCKAwkGdbTBtL4OekO06/i64nxSpsGw96rQ/UPNUkvvDGuG57rXNzju6ij94GHhfxew40IK/vdcJ4sFk9XdyiPX8enWSwCAhEVDxfJj1wx/FwHL/T56OGv+NecUFEMQBChk1hGLmv2fQZmu/k2DDMpupOWWqx0OSsv8HJy4noZHlhwwKE9Mz0OqzEiRsZ3DLdIOIiKiqlIz31kR2YBZ604blKkq0JtcpFJXehkg3R60uDvZkmObz2qWMTt1M6Nca2YXqdR4atlhvLLyRKn1TlxLly330JvXqdvz7SITNL7SJwpfjGyNp7tElHo/RxN61IwtV6RUKvDGwEYAgE8fbwWX+z3qBUUq2fpV4f315wzKLiZnYfHOKwblh6+motHb/1WrZaOq0oZT5evtt1Tv64VkzTSJp5cfwVtrpFNM8k38WSooNvygp6yh8F+PaiPZP2fCEPSKmPvPWdny6X+dlP3ZC/B0lqlNRERkOxh0E9mAbVN7AdAEqnL2Xb6Lx749IMnyDWiGkzac/R/GrzCe5KssOXpDXN11gt3/O5koOdZi3haTsiYDwPFradh7+S7Wn0oyOoxWrRaw8D/5IbO/vdDZ6LW/fLI1JvSMxLiuEdg2tScuzR+CNwY1xkNt6pTZrn/1XpO+FnV8Sj0+qU8Ujs7uj0fb1UXa/WXHtp63/Prq8Xey8eexG7JBS8SMDeL2qZvpGPTFHly9m2P0WtqEc/box73xmL3utOz3SV0NP2z449hNsa0bTmmWwJv3r3zQqkvuteQWlB6wD28ViplDmsD3ftZwc085SMrIw6u/x+D0rQzZ4/uv3MNevSkRrcN8JaNPiIiIbBGDbqJqqsH9pGErX+gE5/uZtI31dI9ddhjHrqVh+OJ9YllaTiF6fKQZYrzz4h3suFCxwG/wl3sk+9oWTFp5Aq/+HmNQv+W8Lbh+r+xhrMv3XRW34/V6z7V+P3pdDADd9HrpWof5Gr12oJcLZj7QFPMejEZUkFe5hktHBXmWetxYwKClUCjEJckOxN0DoAkmLCkzvwh9P92N6X+dQv2ZG2UDyjP3263/QYncEOmcQs2w5sT0PLvq9c4pKMb8Defx2+Hr2HXpjsHxIlX1fK3a5HzT/zoJlVqQnfKgT+5vxdhlxtfy/mZ0WwDAhF4NMLmvZh37PDOP0Oi6aIfBz19pHm9XF7+X8uEaERGRrWDQTVQNFRSrkHq/l9Tb1QkODpphrEU6b6SfWHoQETM2ICUzX3KudvipNjGR1vgVx3Ag7i7+ib2FF385hly95F4pmfmIuW44d/VGqrTXM/Z6Oib+73ipQ3H/dyjBoGzz2WSM/uEQkjM07d1yruRDgAcX75cN7j7dckncHtw8xOD4q32jZO/ftl4to20ry5IxbUs9Huxt+jzeB1oYttkSui7cIdnfLRNQpmRpvu8Xb0s/4Dgyuz9GtpeuU55bqMKyfVfRddEO/HLwmplbaz26vfsxMvO0dZN3fbqlJEdAhL80q7tSAXz2RCsLtFBDuwa9lvZvQW6h6UFw42D5KRD6Zgxpgr8mdsHQlrXFso71S3ITmDpypSya+enyx/SnigBA3IIH8PHjrbg8GBER2QUG3UTVjFotoN+nu8XeLTdnB3Gesbb3ShAEcR3dfp/tlpwvF3Bpjf7hMF5bFYst525j6uqTYnlBsQodF2zHw0sOGAw7bqI3f/m99eew6WzpWY19ddbBFgQBjyzZjwn/O44DcffQeeF2TPrNcB739VRp73hKVr4YbGjbqO/1/o3wzrBmBuVyiadMFebnjoRFQ5GwaCimDdDMz57cryHWvNQVkYEe2DKll8nXeqxdSZbzhFKGc1eW/vD8KymGIwfGrzgGANij8/OxdKzmA4YPH2uJyx8MQaNgTS9/fqFKnMc/99+zOHLV8ms2VwXdn6dzSZnYdKbk51j/e/b1jivi1Artmu31/NzxyeOtcO69wXjESAZ7c9AmUtN6T2Zefll+PnjN6HQUrXFdIzChZ6TBGu21PEp+f8s7z92Yz7ZeMnps0aMtDcocmK2ciIjsCLOXE1UjgiBgw+kkyZxaNydp0C0IAubqzOnM0lsD+tWVMegnk7lY36azyShWqeGgVKDD/G1i+eqjNzBjSBNxXzdQMWb6oMbYcSFF7CnUTRy2/8o9nNBbM3iDzFxR/dGwB/SGZH/1pDTJE6BJZKXfC/nXxC5lttdUr/ZriFf7NRT3d0zrXa7z/TxKesXXn0rEK30bllLbfIwtHTX4i5KpAlP6N8Tg5iW9m04OSjHRVr7eBxxPfHdQks3bVukuw7ftfAq2ndcsDTZtQCPZNd5Hfn8Q61/tIS6v9vnI1mgXXvFRFKYK83NDss4Ilj2X7pSaRHHNS13x6LeG2cC/3xOPSX2iIAgC+ut8ONestjfWv9rdaCI4JwfzB7zLdKaTaG2Y3B1eLk6o5++O7IJizFxrmDySiIjIHrCnm6ga+XjzRYN50q5ODnDUWbqnWC2UOuS3UKXGfzo9eBsmG1/G64ON57Hl3G1k6gTuS3fHidvv/d85pGQVAADef6i57DUSFg3FpD5RWPNSV0zq0wAAJNe7rTf83ZhjCdLeVN152IOjQ+DoIP/nSnco7P+90t2g186a6tZyE7fvZpf94YWuu9kFpSY7qwhtVmxAfgi+8v4IAW2vuC796Qi25kpKFr7fEy977NOtl2SD2jO3MrHovwu4dj9HgVxWfEv4UKbnN+Ge/M9C+/BaaBdeCx883BzPd6+Pr3QykH+8+SJ2XkzBh5suIu5OyfmrJnQuNfN6gM6HRdq8BBUhCALe/b+zkkR+WjOHNEF0qA/q3f/QbFTHevj2/tSOfyZ1q/A9iYiIqiMG3UTVwPd74tD7451YsivO4Jibk4M4pxsA0nLLF7w1q+2NuAUPyB77aX8CPttiOOxTO796+f6S3qmBzYIN6nm6SAfL+LpphqVm5JXMA3U0sdds+l/SpZGKdYKg0noXvVydcHXhA0hYNBQt6paeWbyqBXiWBC8rDiSYnJRsya4raD9/G/p8sstgzr6+0paQ6tckCGteku/5l1v2LPZGutFrpWQWlNqO6q7/Z3skgae+M4maRHPN60jXYNf9EKqqgu7IQMNkfsYyyq+eoHm+YzqF4+1hzeCs9/v27E9HJa8B0OSJKI1SqUCPhgEANIn3fjtcsXn9286n4Kf9CZKyd4Y1Q8KioZjQq4FB/SEtaiNh0VC0KiVJIhERkS1i0E1kZdkFxViw8QISjGT8dnFUStaO7vjB9nJdX6FQlDo/Um5Y7Y97rxrMEw72dkV7veB3/1t9Jfvebpog/PStDByO1/SQlWdt8bOJJZnBb+jM8X6hZ2Sp51VmDrelNatdEsTtu3K3lJoaz604io82lSTxKi0Q/t/BBDR5Z5O4r/8hyI/PtEe7cD/ZjOzB3q5ltkWX3LrP9kSbMLBRkPEEZOXJgl9Zbw9tKtnfLJNH4c3BjQ1+tzvV9y/1uu+PiDbp/s46I0tmrztj0jn6dl1MMSgb3y2iQtciIiKyZQy6iaxMLumV1v4ZfaFUKiRBtzHGejRLjnct9Xjber7i9gcbz4tBMwC8MVCTUOwvnWtM6d8QPu7SHjPtnOArKdl48odDuH4vF7fu99A1CfHCo23r4oOHm6NLpCYw2PtmH3w+siQL9NCvNEueJabn4ePNmsDT1730Xrnqbs7wkkRvhSYErtsvSAOVO9nyPcx3swvwzj/S9ZpXT5Aur6T9MKJYL6HWn0bmvUcGeBiU1fHVDJEf9MUe/HrIfjKZG+Pj7mQ063xVrhf9fI9IXPlgCPzuJzVbefi6eKxHwwBM7huFl3sbZu+v5eGMk3MHGr1unyZl53sAgPNJmaUej7+TXeooC6BkuoJWoJdLtf6AjIiIyFIYdBNZ2dx/jPciaQMeYz3V26b2wmPtNIFsu3A/fDumLZaPay8uZ6QNlgHNEO0Xe0YiMsADYzvXM7jWm4ObSPaf+7lkXq9uArD/XuuBKf0b4kWZ3mfdoEQQgBtpufj0ftbiC8lZ+PSJVhjTKRwrxnfAiXcGIMzPHVGB0p5FlVrAQ9/sF/ebhkiH+9qaDjpzzIvL6PXXn9cOAN/suCJbt71O8jutZrW98enjrRAZ6IGjs/uL5WF+0mRzHYzMe/9zYhfJkPj6AR6SIdVv/12xHk9b4uXqhCVj2skeq8qebgBwdFDKJjL833OdMHVgY6Pn+bg5YdOUHrLHTB3hkJhhfFrDofh76Pvpbjz709FSr6G/xFlDmREXRERENQGDbiIrKihW4eTNDEmZNlDWXTvZWO+Qn4czPnlcE8gCmjmRfZsE4+E2dbB/Rl9M6iPtCZv1QFPseKM35j/UAo/qLXnUqb58IFZPL2BrWtsbU/o3gruz4eIHrk7SPymHdHrLdYc4uzg6iD14+nOL4+5ki8nbAOC7p+UDIFvhoFSIw/L153QLgoCPN1/AvycTkZpTiMeWHjQ4PzEj32Ct5KMywTmg+Tl5tF1d7JjWG4FeJcGzXOZ3Of6eLtg9veTc1S92toth5abOpQeAv2NuGT3m42Y7oy6ahHijc6T0d/qLka3F5c/Kw0tv2sLy+5nID8bfK3VZMv2ecLkP6oiIiGoCBt1EVlCkUmPTmSS89nuspHx8t/p4pW9D7HyjNxY80qLM6+jP4dVSKBSo4+tW6lDOT59ohfHd6gPQ9HAqFAr8PL6jQb1QX9Pn/ur3BH6t00v74aPyr0f/nMT0PLg7l/SYl5X0yRZoh9nqx36bz97GNzvjMPn3GLR9f6vk2JMdSj50aTlvC/6nM7T7cZ3gXHdagDG1PJyxZ3oftK3nW+Y0BA8XRxyd3R8Ji4YiyNsVt9KlCbxsMYv55VKmcOjTrhfvrBecbp7Ss1qsHa3/wVZp3h4qXcN+ROtQk8+d0l+6vN3rq2Nx8H4m89s6H4qN+fGw0Wtof1Za1fXBY+3qokfDQJPvT0REZE8YdBNZwc8HEjDx1xPYpJMc6d0Ho8X5v/UDPEx6g1/Z4a5zhmsyCWuHG/dsGGAwn7VRsPHEUvqy840HZPUDjA8tnaDTA/bFtsvisFTtMHmbd/9R6o8un/jrcaOn6M+Xf+fvMzggk4jtjwldMKxlbUwb0MjgmK56/u5Y+3I3tAuv3JJq+tmoq7PUnEIUqdT4SScLv1wmfN0h9Nrlqv59tWTZqrPvDpLN9l4VxnWNkOxvmCw/bFyO/iiF8synfq1fQ3GZwKyCYqyLuYWxyzQB9kmd5H5HrqYa5AzQyrvf0/18j0h88niravGhBRERkTUw6CaygvkbzhuUdb+/RI81KRQKLB7VVlI2Y0gTI7UNdYr0l/RS66pVSkK0mQ80RZP7QU2QzrBoe3mTrn0VAkqi7jtZxpfg6hblj6kyQfRovV7FLpH+cHRQYvHotni1X0OD+uagn5TrXGLpCbaqi9M3M9BpwTbM/fcseur0sLaPMAy6t7zeE/4ezni9fyNxuaomId5Y81IX7HurDzyMjCipCvpzsI39fskJ93cvu5IRCoUCHfS+Vyq1YLCqAQC89NsJAJps5dP+OIm8QhUEQUDe/Q/PytNmIiIie2S9dxJEJBHuV/E3yOakVCpwdeEDWH30BprX8ZGdu22Mj5sTDs/qh3f/7xz+On5TLF88uk2ZvWxPdQnH7HVncFYnqOvVyD6Go2pfum728mX7rhqpDQxvGQoXRwf89GwHg2RVap3u8s6RpS8PZQ4+bk448c4Acfj7htNJaLbzikG+gOrmw00XUKQSsPLwdWTdH4Hh7KDElH6N4OvmjPoBHpi59hRe6t0A4f4eOP7OAINrVHZUgDlsPSddKsxRafpn5bpJ8SpCbv5387mbDcq2nruNiBkbxP01JzS/+42CNaNb3JwYdBMRUc3GoJssIr9Ihfg7OWha24tLxOiRSzw0qmMYHMuZ4MiSvcAKhQJPdjTMcG4KL1cnvD20Ke5mF2BQdAhGmXgdfw9NgKA7h9iWEleVRjune+ofJ+Hv6YJejQJxIdl4j7F2zXZvV8M/0VvO3Ra3HyzHHN3K0G/Hx5sv4rnu9cUl4tRqAUoL/DwKgoDnfj6GvEIVVr7QyeS/JUkZeZI10f/vZCIAoFClhpuzA17q3QAAMCg6uNr/fcrUm7LhJfMzUZpxXSOw4kCCOFS8PHRHnVTEpduaufRu7OkmIqIajsPLySJeXx2LB77ai01nksuuXMOkySwBVJ7eKy11OTIyVzVfd2eseLajyQE3ADGbua7qHhCZSvdlPLP8CADpvFh92mzbofeXjNOlOw/co4qCGUcHpUECr8w8TUb1N/86ichZG3HjfgIyc8ovUmPHhRQcjL+Hm2l5ZZ8AIOFuDh74cq9JdW3h5ytCb4i4azl7jec9GI2L8wfjqc7h5b63VxlJDB9vV7fU41rWHJ5PRERUHTDoJrO7lZ6H/+4H28v3Gx9CW1PpL/8UGehRoaG67eoZzk21ZX4e0jf4xjKz2yIFpMFdSma+mFStp8wQ+ud7aBLLBXuVnjnetQp7EH3dpB+KaHtg/zimGUr86LcHzH5P3ZjY1A+Zen+yC2m5RbLHvhpl2tJp1cn8h0qy/utmtC8PF8eK/5w0LiWR4sePm5bosLaP6SsgEBER2SMG3WR23+2OE7cLVdW3N9ZaCotLvicX3h+MHdN6I6Scb0rHdKqHxaPbll3RhtRylwZ1nzze0kotMT/9DtWXfzuBjPs9xadupkuOxS14QFwnW6lUoHGwl9FEVFU5V7ZLA+n88aSMPKRk5ov7KUYSw2XlF2H9qcQKLTWmG2frZ36XU9oa2wAwtEXtcrfB2kJ8XDFnWDNEh3pj3oPRVX7/ja/1wAs96uOdYc3wSJs6YvkbAzWJ/rZN7YnhrUqmOVycPxgHZ/aVXKOsHnMiIiJ7Zz9dSVRt6M7DLW0IbU1VeH9Odx1ft3IPFQU082s/eLjsNbxtja9e0F23VvVILGcO+pnKj11LE7df7t0AJ29mYMOpJACGc/XXT+6OYpWApnM2GVxXLtGVpbwzrBmCvV2x9P6Hak8tO2LSeTPWnhZf25dPtsaI1nXKOKOEbu+2sWWpdE1ZHWv02OhO9Ww2G/747vUxvnt9q9zbQanAbJ31vvs0CcKmM8kY103TnqggL3w9qg3eHxENZ0clXBwdDEZFEBER1XTs6SazEgQBG04nGZRRied/1mSj1vZ0lldVBlpVST8gkks4Z6suJGcZPdajYSC+frIN+jcNxrdjDEcvODko4ebsUOmkVpXl5+Fc5vJx8XeyDcq0ATcAvLYqVnatcWN0g+78orJ/HsZ0kuYQ0P1+LrDDD6qsYXirUHwzpq3B9A9fd2dxpQPdxGmT+jSo0vYRERFVR/b57p2sZufFFMTfyZGUrStjyGdNIggC7mZrEqnJrXdbmq9GtUGglwu+f7q9JZpW7dhCkitzUCoUUCoV+PGZ9hhSyvDnvyZ2lewfntXP0k2T9X+vdDd67L315wBokgUO/mIPFv5nuB796B8PI+FujkG5HN0h5TE30oxXvE//R6ZPkyDELXgACYuGmnQ/Mp+ERUNx4f3BmD6o9A9qiIiIagIG3WRWey4Z9mIduZpqhZZUTwfj7lX43AdbheLIrH5oF25fCdR07X2zj7htoyOBZY3rGgEAGNrSMKg29XXW83cX5ySH+7sj2Ns6yala1PUxemzXxTsAgJ8PJuBCcha+2x0vW+/UrQzTbqYTdM/55ywEQcCF5EzkF6lkq/966Lq4PbxVKFydHGx2SLk9qMj0GSIiInvEOd1kNrmFxVhxIMGgvHGI8ey3Nc3oHw+L28aSY5XG3nt/69YqWSJLaUev9Z1hzTCyQxgaB3tJhlsD5Xumix5tgcHNQ9CvaZC5m2hWX2y7XOrxBRvO48FWZa8xrp+xfOPpZExaeQLtwmthzUvSnv8cnZEjSgXwtQ1mKiciIiL7xJ5uMpvTN6W9V23r+QKQvhmmEjum9bZ2E6odhUIBr/tzRRsEelq5NebjoFSgaW1vKJUKvP9Qc8mx8szt93J1wvBWoeLcWWvZP6MvWtb1wRsDG6F5HW/8qDPl4XxSZpnnJ2fm42Za2et66wfdk1aeAAAcv2Y41Hzb+dvitoeVvz9EREREuvjOhCrtXnYBnByVBj12ZxI1b74/2XIJr/RtaI2mVWvlXSaspjj6dn8UqwVJMiZ78lTncLzz9xlxPzrU24qtqZg6vm749/7cbu3vtperI7Lyi/HciqMmXeNsYmaZGepNWSZMS3cY+YOty+5FJyIiIqoq7OmmSsktLEa7+dvQct4WZBeU9Ng5KhUoLC7JNlxQLD8Hk0ifq5ODQWZke2Yv816b1dZ8eJCYkS97fNvUnnhvRMk606bkNyjPygcqnQj9bZ0lroiIiIisjUE3Vcrcf86K27pvove+1UdS76/jN6usTdVZq/tJqD57opWVW0LWtHFyDwDAhF6RVm6J+RwuJWHiybkDERXkhae7RIhlcvkf9JWnpzsrXzONZUCzYLsdJUFERES2iUE3VcqfOsH0D3uvAgCGtqiN2j5u2DC5ZGmh3AL2dAuCgJP3572Xd7kwsi/NQr2RsGgoZg5pau2mVAkfN6cKnSdAPuqODPQwKNt1MQWAfa3vTkRERPaBQTdV2IVk+YRJ3m6aocHRoT5oHeYLAPjnZM1eq3vTmST0/2y3uJ/DDyHIztUP0ATGbnrD50fcn2+t/dtQGm1Pt4ujEvELHsDr/RsB0HyIl1dY8juUlJGHbec1Qbd22TIiIiKi6sKmgu6EhAQ899xzqF+/Ptzc3NCgQQPMnTsXhYWF1m5ajXTmlrGgu6RXy8lBIdYtz/xMezPx1xOIu5Mj7j/bLcJ6jSGqAitf6IRRHevh70ndJOWd6vsDAAK9XMSy5Ix8vPXXKVxJyZbUVak0fzMUCkCpVKBLA825yZn56PHRTgDAj3vj0WXhDvEcVyeb+rdGRERENYBNvTu5cOEC1Go1vvvuO5w9exaff/45li5dilmzZlm7aTWSl6t8sivdoaS6Gc1V5Zmgace8XBztJnkWkdb7OknSHmlTB7V93LDwkRZoHOIlqaf9IE53GPioHw5h9bEbktEgAJBwT/NBVaiPZv123bXt72YXQBAEzN9wXnLO8nEdzPBqiIiIiMzHpoLuwYMH46effsLAgQMRGRmJBx98EG+88QbWrl1r7abVSBtPJ8mWe+lknm4cXPKGu7iGBt2Z+dJ1mLM4n5vs0JhO4eL2tVTja3A7O2r+7aTlaEYoqdUCrt4tGQWim5DxXk4BACDUVxN062e1X3PCcNpKu/Ba5W06ERERkUXZVNAtJyMjA35+ftZuRo0U4KkZHqpQAAsfaSGWZ+aXBJVT+pesz30w7h4+3XJRspSYPdAPqvX9vD+hahpCZEVKnXWyb6XlGa2nHfFy8mYGjiakYseFFMnxSStPiNvavxXaQN1DL+h+48+TBtd3ceQoEiIiIqpebDrovnLlCr7++mtMmDCh1HoFBQXIzMyUfFHladfenty3IUZ1rCeWN6/jI27rzu9+dsVRfL3jCv7vZGLVNdLCfjmYgJbztuCf2JIeN0EQJPPXtQEDoJnLfebdQVXaRqKqlpwpv1Y3ANzLLsnB8fjSg3j+l2OS46k5hfhxbzwA4NtdcQA0idQAw55uIiIiIltQLYLuGTNmQKFQlPp14cIFyTm3bt3C4MGD8fjjj+OFF14o9foLFy6Ej4+P+BUWFmbJl1Nj/BurCZ6185N3T++Nb8e0Rc+GAWIdR53eL630vNJ7hm2FIAiYc3+d8tdWxaLd+1uRV6jCoC/24Pmfj4l1ziRqPuR5on1dzB0ezcCBarRmod5l1pm/4Tz2X7mLhHuaYepODpp/VWUlSVs8uk3lG0hERERkZtXi3f+0adMwbty4UutERkaK24mJiejTpw+6du2K77//vszrz5w5E1OnThX3MzMzbSLwzi9SITWnUJzPWN1oh5Efir+Hl3o3QLi/B8L9pevnKhQKOCoVkvnc3kYSsNma+jM3Svbv5RTi4SX7cel2Ni7dzsbuS3dw9U622LPv7mwfr5vIGF93J6TnFsHD2fgQ7673M5CXZcyPh8XtvCLNqBrdxIz6Ds/qh2BvVxNbSkRERFR1qkUUEBgYiMDAQJPq3rp1C3369EG7du3w008/Qaksu7PexcUFLi4uZdarbh74ai/i7+Rg29ReiArytHZzjErOMD6UFAAc9IJuZSlvnG3dheQscfuZ5Uckx7adv415D0brn0JkN1a92Bnvrz+HqQMaG62jUCgwsFkwtpy7bfJ1s8rImwBo/s4QERERVUfVYni5qW7duoXevXujXr16+OSTT3Dnzh0kJycjOTnZ2k2ziPj76zqvi7lp5ZaUrqzhogV6idNM+JzELnGZMLJ3TUK88dvzncvMIP790+1lyxePboPIQA+D8iCvkh7sL59sLVmWUEuomYsjEBERkQ2wqfBn69atuHLlCrZv3466deuidu3a4pc9+253vGy5IAjIvz/ssqqk5RRiyJd78emWi2LZq32jynWNYpXp745TMvORnltYdkUrcHEs36/PT1w/mEhW50g/HJ7VD8NahmLHtN4Gx0d2KJkONKJ1HZycO9CgTi13w0CciIiIqDqwqaB73LhxYmZo/S97o/uaitUCjiWkGtSZ/tcpNHlnE1769XiVtOmf2Fto8/5WnE/KxNc7rojlfh7O5brOyZvpJtVLzy1ExwXb0fq9rTh5w7RzqopaLYg9+LMfaFpm/XeGNUOYn7ulm0Vkc3o0DMCqF7tI5mN76SQbjAzwkJ0H3q9JkLhdy90Jjg429e+MiIiIahC+S6mm8vR6sB9betCgzl/HNcPO/zuTjIxcy2cEf21VrGy5r3vpQfffk7pJ9n89dL3MeeAAEHM9Xdwe8c3+MutXJd0kT2M7h2Nc14hS6z/VOdzCLSKyLWte6ornutfH0rHtDI5991RJWdvwWrIJ1Ia3ChW39dfvJiIiIqpOGHRXU9kFxaUez9RLLBR/N9uSzTGqrLmbANA6zBeNgqWJ4M4nl71Wuv777PKMaMgrtOyw+4Px98RtVyclGgV7Ga372ROtJGt1E5Hmb8c7w5rJBswhPiW93sbSo+mOsGESNSIiIqrO2D1QTeUUSING/feUl29nSfbvZBVYtD3G5o7rZiUvTYbe2twR/obJkgzvKU3A9tA3+/H1qLYI8HLGmVuZaBdeS/bN9j+xt8Re+VZ1fbDu5W5QWvBNuUKhwBPt62LWutNi2fRBjdGjYQBa1vW12H2J7JXuMom3jfxt0/2bVKiXrJGIiIioOmH3WzWVo9fTHehVsuRZak4htp1PkRxftOmCRdtTUCT/ptbUudaPtq0r2ZfrtVbrBfD6vfknb2ag58c70WzOZjzx3UF8veOy7L10h8GfvJmBW+l5JrXRVPrtBABHByVmDmkCQJOBeVKfKAbcRBWkm6Rwz6U7snV6NipZZtLSHzoSERERVQZ7uqup2Tq9pgBwO7MA+UUquDo54Onlh3HmlnR4tnZ5MUspUFVuuPbkfg2RcC8HG09rlnfTj1vn/XsWKw4kYELPSMy8n5isrMzsX2y7DC9XJzzTJVxMovTroWuGbTdzL9jd7JI3+H9N7CJuT+jVAE93iYCbM5cGI6oMuTnc+nSX4DN1xA0RERGRNbCnu5o6eTPDoOzHvfHILig2CLirQmWHb7o6OWDxqLY6JSVvks8nZWLFgQQAwHd7SpZHm/PP2TKv+/76c9hwOkncf/vvMwZ1zNkLtvC/8+i4YLu43z7CT3KcATeReU0f1NjaTSAiIiKqFPZ025BPtlyCsVxiAZ7lW7arvIz1FpdnbVylUoFa7k5Iyy2SvI539ALliBkbytW2C8lZGAHg+LU02eOjfjiEhEVDy3VNY4ytmU5E5vXnxC5ITM/DiNZ1jNb5alQbTF0di7Uvd63ClhERERGVD4PuakqhgGyA/enWS7L10y28ZJi2p9vVSYmYdwbi35O3MH/DefzwdPtyXUd5f9io7ksrVJXeiz5jSBMcS0g1mMeu9U/MLXSO9MeUVTHlakt5XdJLXkdEltNBbxSJnAdbheJBnaXDiIiIiKojDi+vpkxdHWvl850AaOY0RszYgH9PJlqkPYt3XgEAKKCAm7MDRnaoh5NzBhoMry6LdqqmWucFermW/tnP4OgQPN0lwujxxIx8PLP8CNJ0Png4++4g+OssKWSO7MYDP98j2Z82oFGlr0lERERERPaNQbcNaFrbW7Z86+s90VZvnezJv8eUaz1rU204pZk3naeT3Kwiy3AVqTRt021iiLebkdoaob5uUJXzNXm4OGLJmJI55H8cu1Gu8/Wp9BI1/TmxC17t17BS1yQiIiIiIvvHoLuaeqVPFADgxZ6R+ODh5rJ16vm7SzL4at1INe8SWeakXa/7cPw9AMCh+HtYc+Jmqec4OyrRPNTHoHz9q91LPS/Mz13cLisTemlWH72OhRvPS8oaBXlV+HpERERERFRzcE53NTV1QCMMa1UbjYK8ZJOYjelUDy6O8pmy9de3rqx72eZfA/ffk4kY3SkcTy87YlL9QC8XPN0lHL8cLFkSrH6Ah2zdNwZqhn0He7uKZboBeHkUq9R4a81pg/KyhsQTEREREREB7OmutpRKBZqEeEOpVMguQ/X+CPnebwDIyi82KFOphQoPO5+08oS4rZ1DXlknrqej9XtbjCZR6ygzV/y9Ec1xcu5ARPi744Ue9eHhIh/4jutWHwDgoFSI18kvUqG4jIRtcrILDL+X594bVKGh9UREREREVPMw6LYRX49qI24vHdu21KAvS6+nW6UWMPSrvXh4yYEKBd6661y3qVerlJrlk1tofMj3tIGN4OfhjFkPNJGU+7g5Ydf0Ppg9tBkATQ+4Pk+dYPxIQioA4LVVsWg6ZxP+LMfc7rxCFdq+v1VS9t9rPeDuzF5uIiIiIiIyDYNuG9G1gb+4rS4jbk64lyPZv5tdgAvJWYi9kY7FO66U+97DWpYsySPX614ecj3YADCxVwMcmNEXYzrVw9l3B6FTpD9OvDMAL/ZsUOr1ZgxuUupxXUUqAdP/OoUcmd5rOV/vuGzwvTaW1I6IiIiIiEgOg24b4ehQ8qgaBUuTeH30WEvJ/oKNFxB7I13c1+0TN7bOd2m0mbvHdY0o97n63h7WVLbcyUGBUF83fPBwC6PDxuU82q4u9r3VB30aB5p8Ttv3tyItp7DMevoZz5/pEm7yPYiIiIiIiAAG3TbDy8URQV4u8HFzQoS/NCnYE+3DELfgAUnZkp0lPdrFet21N9Nyy3XvIrVmLrSjGeYxOyrlf+Qqs8pZ3Vru+PDRlniyQ5hBRvMGgYbJ1gqK1dh8NrnM60YGeorb26b2Eoe0ExERERERmYpBt41QKhXY91ZfHJndT9LrreWgVGDagEbivm6cXaySRrTdP9xpMO+7NNrz5e5bXk4O8oH7w23rVOq6Qd6uWPRoSzSvI11a7J9XuuP1/o0M6htL4AZo1iRvP38bjlxNFcuigjzh7MhfFyIiIiIiKh9GETbE2VFpdJkwQJpUbNv52/h86yVEztyA/84kGdR9+bcTBmXGaLN+GwuYy8NY++vWcqv0teV4ujjisfZ1Dcr1P4jQNWnlCdzVWSbthR71LdI2IiIiIiKyf0zDbEf0M5p/uf0yAGDhfxcM6h6/lmbydYvud5s7mGF4eZC3YbZxwHgwbg7BMhnO1eUYzz6kRW1zNoeIiIiIiGoQ9nTbkZM6ydPKkluoQqYJQ8w3n03GysPXAQBOZhhe7upkGFwfntWv0tctjaODElMHSIeY5xfJL1dWUGxY3lgvcR0REREREZGpGHTbkVEd65Wrfst5W0o9nplfhAn/Oy7ue5Yjq3hpDs2UBtnB3q5muW5pJvdriG1Te4q99WtP3MKwr/cazG3/aNNFyf66l7uWK5s6ERERERGRLgbddqR5HR+D7N1l6fvJLtxIlc9mPnPtacl+uF7W9IoK8XGVzD+vKlFBXpjUW7Pud/zdHJy5lYkW87aIS6IBwLJ9V8Xts+8OQpt6taq8nUREREREZD8YdNsZ/ezdcib0ihS34+/moMdHO2XrbTglTcDWq5Hpa2GXZWwnzZrX3aMCzHZNU6RkFRiUfaOzvJou9nATEREREVFlMaqwc6/3b4TmdbzRr2kwsvKLcDYxE+3Ca+G73fGSerfS81DH13gG8aOz+0OhqHwiNa1JfRqgY30/tA7zNds1TbH13G2Dss+2XsIzXSLQ6r2S4fZmyBlHRERERETEnm57pNt7PLRlCPo1DQYAeLk6oXOkv2xCtM+2XCr1muYeDu7ooESXBv5wc7Zc1nI5fZoEyZZ/sV36+v+c2KUqmkNERERERHaOQbcd0l1jOirItMzba07cxIErd+WPvWQ/AejEXg1kyy/fzpbsR4eWPUyfiIiIiIioLAy67ZBuYrDyGLfiqGTf21Uz+8DX3bnSbaoujK0Tvk/vAwe5pc2IiIiIiIjKi0G3HSo2Ieiu52eYidxBZ862IAjILdSsWe1exUPALcnb1cnaTSAiIiIiohqEQbcdKlary6zjJtOTqzu/ulClFoN3d2f7yrfXpp6vtZtAREREREQ1BINuO6RSld3THSbT052aU4jCYjXuZRfg5wMJYrk99XQDZS995iyTaI6IiIiIiKgi7KsLkwAADYI8kZiRb3L9EG9XJGdq6n+46QJO3kjHsWtpADQBqFy2c1s2rmsEilRqjGxfDwoFxHXKv3yyNUa0rmPl1hERERERkT1h0G2HXh/QCCmZBZg9tKnROqM7hWHb+dtoF14Lvz3fCU3e2QQAWLbvqqSeu4t99XIDmsRw0wc1Eff3TO8DbzdHu0oYR0RERERE1QODbjvUtl4tbH69Z6l1+jYJxvZpvVC3lhtcHB3QJMQLF5KzDOpl5hVZqpnVRj1/w6H2RERERERE5mBf44apXBoEesLFUdOT/cWTrWXrVHD1MSIiIiIiIgKDbrovwt/D2k0gIiIiIiKyOwy6CQDg6qQZYq5vQLNgK7SGiIiIiIjIPjDoJtGGyT3QOFgaeDeVCcSJiIiIiIjINEykRiIHpQJ+HiUZvF/r1xCT+kRZsUVERERERES2jUE3SQR4uYjbrw9oZMWWEBERERER2T4OLyeJwmKVtZtARERERERkNxh0k0QdX65ZTUREREREZC4cXk4SUwY0RGZ+ER5qXcfaTSEiIiIiIrJ5DLpJwtvVCZ883srazSAiIiIiIrILHF5OREREREREZCEMuomIiIiIiIgshEE3ERERERERkYUw6CYiIiIiIiKyEAbdRERERERERBbCoJuIiIiIiIjIQhh0ExEREREREVkIg24iIiIiIiIiC2HQTURERERERGQhDLqJiIiIiIiILIRBNxEREREREZGFMOgmIiIiIiIishAG3UREREREREQW4mjtBliDIAgAgMzMTCu3hIiIiIiIiKoDbXyojRfNpUYG3VlZWQCAsLAwK7eEiIiIiIiIqpOsrCz4+PiY7XoKwdxhvA1Qq9VITEyEl5cXFAqFWa+dmZmJsLAw3LhxA97e3ma9NpmGz8D6+Aysj8/A+vgMrI/PwLr4/bc+PgPr4zOwvvI8A0EQkJWVhdDQUCiV5puJXSN7upVKJerWrWvRe3h7e/MXy8r4DKyPz8D6+Aysj8/A+vgMrIvff+vjM7A+PgPrM/UZmLOHW4uJ1IiIiIiIiIgshEE3ERERERERkYUw6DYzFxcXzJ07Fy4uLtZuSo3FZ2B9fAbWx2dgfXwG1sdnYF38/lsfn4H18RlYX3V4BjUykRoRERERERFRVWBPNxEREREREZGFMOgmIiIiIiIishAG3UREREREREQWwqBbxp49ezB8+HCEhoZCoVDg77//lhy/ffs2xo0bh9DQULi7u2Pw4MG4fPmypE5ycjKeeuophISEwMPDA23btsWaNWskdVJTUzFmzBh4e3vD19cXzz33HLKzsy398mxCVT2DiIgIKBQKydeiRYss/fJsgjmeQVxcHB5++GEEBgbC29sbTzzxBG7fvi2pw98D46rqGfD3QN7ChQvRoUMHeHl5ISgoCA899BAuXrwoqZOfn49JkybB398fnp6eePTRRw2+v9evX8fQoUPh7u6OoKAgTJ8+HcXFxZI6u3btQtu2beHi4oKoqCisWLHC0i/PJlTVM9i1a5fB74BCoUBycnKVvM7qzFzPYPLkyWjXrh1cXFzQunVr2XudOnUKPXr0gKurK8LCwvDRRx9Z6mXZlKp6BgkJCbK/B4cOHbLky7MJ5ngGJ0+exKhRoxAWFgY3Nzc0bdoUX375pcG9+P9AXlU9A0v9P2DQLSMnJwetWrXCN998Y3BMEAQ89NBDiI+Pxz///IOYmBiEh4ejf//+yMnJEes9/fTTuHjxIv7991+cPn0ajzzyCJ544gnExMSIdcaMGYOzZ89i69atWL9+Pfbs2YMXX3yxSl5jdVdVzwAA3nvvPSQlJYlfr776qsVfny2o7DPIycnBwIEDoVAosGPHDuzfvx+FhYUYPnw41Gq1eC3+HhhXVc8A4O+BnN27d2PSpEk4dOgQtm7diqKiIgwcOFDyd+b111/H//3f/+HPP//E7t27kZiYiEceeUQ8rlKpMHToUBQWFuLAgQP4+eefsWLFCsyZM0esc/XqVQwdOhR9+vRBbGwspkyZgueffx6bN2+u0tdbHVXVM9C6ePGi5PcgKCioSl5ndWaOZ6A1fvx4jBw5UvY+mZmZGDhwIMLDw3H8+HF8/PHHmDdvHr7//nuLvTZbUVXPQGvbtm2S34N27dqZ/TXZGnM8g+PHjyMoKAi//vorzp49i9mzZ2PmzJlYvHixWIf/D4yrqmegZfb/BwKVCoCwbt06cf/ixYsCAOHMmTNimUqlEgIDA4UffvhBLPPw8BB++eUXybX8/PzEOufOnRMACEePHhWP//fff4JCoRBu3bploVdjmyz1DARBEMLDw4XPP//cYm23FxV5Bps3bxaUSqWQkZEh1klPTxcUCoWwdetWQRD4e1AelnoGgsDfA1OlpKQIAITdu3cLgqD5Xjo5OQl//vmnWOf8+fMCAOHgwYOCIAjCxo0bBaVSKSQnJ4t1vv32W8Hb21soKCgQBEEQ3nzzTSE6Olpyr5EjRwqDBg2y9EuyOZZ6Bjt37hQACGlpaVX3YmxURZ6Brrlz5wqtWrUyKF+yZIlQq1Yt8ZkIgiC89dZbQuPGjc3/ImycpZ7B1atXBQBCTEyMpZpuNyr7DLRefvlloU+fPuI+/x+YzlLPwFL/D9jTXU4FBQUAAFdXV7FMqVTCxcUF+/btE8u6du2K1atXIzU1FWq1GqtWrUJ+fj569+4NADh48CB8fX3Rvn178Zz+/ftDqVTi8OHDVfNibJS5noHWokWL4O/vjzZt2uDjjz82GPZJhkx5BgUFBVAoFJI1EV1dXaFUKsU6/D2oOHM9Ay3+HpQtIyMDAODn5wdA84l5UVER+vfvL9Zp0qQJ6tWrh4MHDwLQ/Iy3aNECwcHBYp1BgwYhMzMTZ8+eFevoXkNbR3sNKmGpZ6DVunVr1K5dGwMGDMD+/fst/XJsUkWegSkOHjyInj17wtnZWSwbNGgQLl68iLS0NDO13j5Y6hloPfjggwgKCkL37t3x77//mqfRdsZczyAjI0O8BsD/B+VhqWegZe7/Bwy6y0n78GbOnIm0tDQUFhbiww8/xM2bN5GUlCTW++OPP1BUVAR/f3+4uLhgwoQJWLduHaKiogBo5hvrD1NwdHSEn58f55CVwVzPANDMb1q1ahV27tyJCRMmYMGCBXjzzTet8bJsiinPoHPnzvDw8MBbb72F3Nxc5OTk4I033oBKpRLr8Peg4sz1DAD+HphCrVZjypQp6NatG5o3bw5A8/Pr7OwMX19fSd3g4GDx5zc5OVkS7GmPa4+VViczMxN5eXmWeDk2yZLPoHbt2li6dCnWrFmDNWvWICwsDL1798aJEycs/KpsS0WfgSlMeU5k2Wfg6emJTz/9FH/++Sc2bNiA7t2746GHHmLgrcdcz+DAgQNYvXq1ZEod/x+YxpLPwFL/DxwrdXYN5OTkhLVr1+K5556Dn58fHBwc0L9/fwwZMgSCIIj13nnnHaSnp2Pbtm0ICAjA33//jSeeeAJ79+5FixYtrPgKbJ85n8HUqVPF+i1btoSzszMmTJiAhQsXSnoHScqUZxAYGIg///wTL730Er766isolUqMGjUKbdu2hVLJz/sqy5zPgL8HZZs0aRLOnDljMEKAqo4ln0Hjxo3RuHFjcb9r166Ii4vD559/jv/9739mv5+t4u+B9VnyGQQEBEj+H3To0AGJiYn4+OOP8eCDD5r9frbKHM/gzJkzGDFiBObOnYuBAweasXU1gyWfgaX+HzDoroB27dohNjYWGRkZKCwsRGBgIDp16iQOkY2Li8PixYtx5swZREdHAwBatWqFvXv34ptvvsHSpUsREhKClJQUyXWLi4uRmpqKkJCQKn9NtsYcz0BOp06dUFxcjISEBMkvHBkq6xkAwMCBAxEXF4e7d+/C0dERvr6+CAkJQWRkJADw96CSzPEM5PD3QOqVV14Rk/zVrVtXLA8JCUFhYSHS09Mln6zfvn1b/PkNCQnBkSNHJNfTZlLVraOfZfj27dvw9vaGm5ubJV6SzbH0M5DTsWNHBpc6KvMMTGHs90B7jCz/DOR06tQJW7durdQ17Ik5nsG5c+fQr18/vPjii3j77bclx/j/oGyWfgZyzPH/gN1NleDj44PAwEBcvnwZx44dw4gRIwAAubm5AGDQm+fg4CBmDO7SpQvS09Nx/Phx8fiOHTugVqvRqVOnKnoFtq8yz0BObGwslEolM9aWg7FnoCsgIAC+vr7YsWMHUlJSxE/M+XtgHpV5BnL4e6AhCAJeeeUVrFu3Djt27ED9+vUlx9u1awcnJyds375dLLt48SKuX7+OLl26AND8jJ8+fVry4dLWrVvh7e2NZs2aiXV0r6Gto71GTVZVz0BObGwsateubeZXZHvM8QxM0aVLF+zZswdFRUVi2datW9G4cWPUqlWr8i/EhlXVM5DD3wMNcz2Ds2fPok+fPnjmmWfwwQcfGNyH/w+Mq6pnIMcsvwdmTctmJ7KysoSYmBghJiZGACB89tlnQkxMjHDt2jVBEAThjz/+EHbu3CnExcUJf//9txAeHi488sgj4vmFhYVCVFSU0KNHD+Hw4cPClStXhE8++URQKBTChg0bxHqDBw8W2rRpIxw+fFjYt2+f0LBhQ2HUqFFV/nqro6p4BgcOHBA+//xzITY2VoiLixN+/fVXITAwUHj66aet8pqrm8o+A0EQhOXLlwsHDx4Urly5Ivzvf/8T/Pz8hKlTp0rq8PfAuKp4Bvw9MO6ll14SfHx8hF27dglJSUniV25urlhn4sSJQr169YQdO3YIx44dE7p06SJ06dJFPF5cXCw0b95cGDhwoBAbGyts2rRJCAwMFGbOnCnWiY+PF9zd3YXp06cL58+fF7755hvBwcFB2LRpU5W+3uqoqp7B559/Lvz999/C5cuXhdOnTwuvvfaaoFQqhW3btlXp662OzPEMBEEQLl++LMTExAgTJkwQGjVqJP5t02YrT09PF4KDg4WnnnpKOHPmjLBq1SrB3d1d+O6776r09VZHVfUMVqxYIaxcuVI4f/68cP78eeGDDz4QlEqlsHz58ip9vdWROZ7B6dOnhcDAQGHs2LGSa6SkpIh1+P/AuKp6Bpb6f8CgW4Y2Vbz+1zPPPCMIgiB8+eWXQt26dQUnJyehXr16wttvvy1Z4kIQBOHSpUvCI488IgQFBQnu7u5Cy5YtDZavunfvnjBq1CjB09NT8Pb2Fp599lkhKyurql5mtVYVz+D48eNCp06dBB8fH8HV1VVo2rSpsGDBAiE/P78qX2q1ZY5n8NZbbwnBwcGCk5OT0LBhQ+HTTz8V1Gq1pA5/D4yrimfA3wPj5L73AISffvpJrJOXlye8/PLLQq1atQR3d3fh4YcfFpKSkiTXSUhIEIYMGSK4ubkJAQEBwrRp04SioiJJnZ07dwqtW7cWnJ2dhcjISMk9arKqegYffvih0KBBA8HV1VXw8/MTevfuLezYsaOqXma1Zq5n0KtXL9nrXL16Vaxz8uRJoXv37oKLi4tQp04dYdGiRVX0Kqu3qnoGK1asEJo2bSq4u7sL3t7eQseOHSXLL9Vk5ngGc+fOlb1GeHi45F78fyCvqp6Bpf4fKO6/CCIiIiIiIiIyM87pJiIiIiIiIrIQBt1EREREREREFsKgm4iIiIiIiMhCGHQTERERERERWQiDbiIiIiIiIiILYdBNREREREREZCEMuomIiIiIiIgshEE3ERERERERkYUw6CYiIiIiIiKyEAbdRERERERERBbCoJuIiIiIiIjIQhh0ExEREREREVkIg24iIiIiIiIiC2HQTURERERERGQhDLqJiIiIiIiILIRBNxEREREREZGFMOgmIiIiIiIishBHazfAGtRqNRITE+Hl5QWFQmHt5hAREREREZGVCYKArKwshIaGQqk0X/90jQy6ExMTERYWZu1mEBERERERUTVz48YN1K1b12zXq5FBt5eXFwDNN9Pb29vKrSEiIiIiIiJry8zMRFhYmBgvmkuNDLq1Q8q9vb0ZdBMREREREZHI3FOQmUiNiIiIiIiIyEIYdBMRERERERFZSI0cXm4qlUqFoqIiazeDiOyIk5MTHBwcrN0MIiIiIqoiDLplCIKA5ORkpKenW7spRGSHfH19ERISwiULiYiIiGoABt0ytAF3UFAQ3N3d+caYiMxCEATk5uYiJSUFAFC7dm0rt4iIiIiILI1Btx6VSiUG3P7+/tZuDhHZGTc3NwBASkoKgoKCONSciIiIyM4xkZoe7Rxud3d3K7eEiOyV9u8Lc0YQERER2T8G3UZwSDkRWQr/vhARERHVHAy6iYiIiIiIiCyEQTcRERERERGRhTDotiP37t1DUFAQEhISrN0Uohrp7t27CAoKws2bN63dFCIiIiKqJhh025EPPvgAI0aMQEREhNE6vXv3xpQpU4weT01NxZQpUxAeHg5nZ2eEhoZi/PjxuH79ukHd5ORkvPbaa4iKioKrqyuCg4PRrVs3fPvtt8jNzTWoP27cOCgUCqNf2nb37t1bLHN1dUWjRo2wcOFCCIJgcM2DBw/CwcEBQ4cONTiWkJAAhUKBoKAgZGVlSY61bt0a8+bNE/evXr2K0aNHIzQ0FK6urqhbty5GjBiBCxcuiHXk2ty9e3fJddevX49evXrBy8sL7u7u6NChA1asWCHbLu2Xn58fevXqhb1790rqzZs3DwqFAoMHDzZ4bR9//DEUCgV69+5tUF//q0mTJmId3e+ti4sL6tSpg+HDh2Pt2rUG99Cn+/ycnJxQv359vPnmm8jPz5fUM/Z8V61aJdb54Ycf0KpVK3h6esLX1xdt2rTBwoULJa+ldevWsq/N0dERAQEB6NmzJ7744gsUFBRI7h8REYEvvvjCoP3619Qy5WcoNja2zO8PAAQEBODpp5/G3LlzTapPREREZCvUagHrTyXiRqrh+3wqHYNuO5Gbm4tly5bhueeeq/A1UlNT0blzZ2zbtg1Lly7FlStXsGrVKly5cgUdOnRAfHy8WDc+Ph5t2rTBli1bsGDBAsTExODgwYN48803sX79emzbts3g+l9++SWSkpLELwD46aefxP2jR4+KdV944QUkJSXh4sWLmDlzJubMmYOlS5caXHPZsmV49dVXsWfPHiQmJsq+rqysLHzyySdGX3dRUREGDBiAjIwMrF27FhcvXsTq1avRokULpKenS+rqtjcpKQn//vuveOzrr7/GiBEj0K1bNxw+fBinTp3Ck08+iYkTJ+KNN94wuO+2bduQlJSEPXv2IDQ0FMOGDcPt27cldWrXro2dO3ca9JwuX74c9erVM7hmdHS0pH1JSUnYt2+fpI72exsXF4c1a9agWbNmePLJJ/Hiiy8a/R5pDR48GElJSYiPj8fnn3+O7777TjbA1P8+JSUl4aGHHhLbPmXKFEyePBmxsbHYv38/3nzzTWRnZ5d6b+1ru379Onbu3InHH38cCxcuRNeuXQ0+VCkPU36GyuPZZ5/Fb7/9htTU1Epfi4iIiKi6WBdzC6+sjEGPj3Zauyk2h+t0m0AQBOQVqar8vm5ODiZnOd64cSNcXFzQuXPnCt9v9uzZSExMxJUrVxASEgIAqFevHjZv3oyGDRti0qRJ+O+//wAAL7/8MhwdHXHs2DF4eHiI14iMjMSIESNke6V9fHzg4+MjKfP19RXvpcvd3V0sf/bZZ7F48WJs3boVL730klgnOzsbq1evxrFjx5CcnIwVK1Zg1qxZBtd69dVX8dlnn2HSpEkICgoyOH727FnExcVh+/btCA8PBwCEh4ejW7duBnWNtffGjRuYNm0apkyZggULFojl06ZNg7OzMyZPnozHH38cnTp1Eo/5+/sjJCQEISEhmDVrFlatWoXDhw/jwQcfFOsEBQWhXbt2+PnnnzF79mwAwIEDB3D37l08/vjjOHfunKQdjo6Osu3Tpfu9rVu3Ljp37owmTZpg/PjxeOKJJ9C/f3+j57q4uIjnhoWFoX///ti6dSs+/PBDk75PAPDvv//iiSeekHxAFB0dXWqb9V9baGgoWrRogQEDBqBVq1b48MMPMX/+/DKvoc/Un6HyiI6ORmhoKNatW1epD8GIiIiIdKnVAlSCACcH6/SbHoq/Z5X72gMG3SbIK1Kh2ZzNVX7fc+8NgruzaY9o7969aNeuXYXvpVarsWrVKowZM8YgWHJzc8PLL7+Mt99+G6mpqRAEQezh1g24dZlrSSRBELBv3z5cuHABDRs2lBz7448/0KRJEzRu3Bhjx47FlClTMHPmTIN7jxo1Clu3bsV7772HxYsXG9wjMDAQSqUSf/31F6ZMmQIHB4dyt/Ovv/5CUVGRbI/2hAkTMGvWLPz++++SoFsrLy8Pv/zyCwDA2dnZ4Pj48ePx5ptvikH38uXLMWbMmHK3sTTPPPMMpk2bhrVr15YadOs6c+YMDhw4IH5QYaqQkBDs3r0b165dK/e5+po0aYIhQ4Zg7dq1FQq6Tf0ZKq+OHTti7969DLqJiIjIbJ784RDi72Rj31t94epU/verlSEIAorVhp1qZBoOL7cT165dQ2hoaIXPv3PnDtLT09G0aVPZ402bNoUgCLhy5QquXLkCQRDQuHFjSZ2AgAB4enrC09MTb731VoXbAgBLliyBp6cnXFxc0LNnT6jVakyePFlSZ9myZRg7diwAzbDnjIwM7N692+BaCoUCixYtwvfff4+4uDiD43Xq1MFXX32FOXPmoFatWujbty/ef/99yXB6rVGjRomv0dPTE3///TcA4NKlS/Dx8UHt2rUNznF2dkZkZCQuXbokKe/atSs8PT3h4eGBTz75BO3atUO/fv0Mzh82bBgyMzOxZ88e5OTk4I8//sD48eNlv2+nT5+WtM/T0xMTJ06UratLqVSiUaNGZSbhW79+PTw9PeHq6ooWLVogJSUF06dPN6in/33y9PQU8wLMnTsXvr6+iIiIQOPGjTFu3Dj88ccfUKvVZbZTTpMmTSqcPNDUn6HyCg0NxbVr1yp9HSIiIiKtI1dTcTe7EMevpVX5vSf87zjWxdySPfZ3zC1EzNiAN/48WcWtsh3s6TaBm5MDzr03yCr3NVVeXh5cXV0rfU+5YeGmOnLkCNRqNcaMGSMmt5o4cSJ+/fVXsU5Z83a1xowZg9mzZyMtLQ1z585F165d0bVrV/H4xYsXceTIEaxbtw6AZujxyJEj8f/snXecFEXax3+zmYUNsIEl55yDRAMoisp5Bk7PfOZ8Bjw9MZ0Zz/iaPe/MivH0zCiiYgBEQXKQnHPYhV02z/vHbM9Ud1d3V8/0hN39ff3gznRXV1VXh6mnnvTiiy/qgotpjB8/HocffjjuuOMOTJ061bT/6quvxvnnn4/vvvsOc+bMwXvvvYcHHngAH3/8MY499thguccff1ynCZYJ2aq888476NmzJ5YsWYKbb74Zr7zyClJTU03lUlNTce655+Lll1/G2rVr0b17d/Tv319aZ48ePXR+5gCQnZ2t1B+/3++o4R07diyee+45lJaW4vHHH0dKSgomTpxoKmccJwDBRaFWrVph9uzZWLJkCb7//nvMmjULf/nLX/Cf//wH06ZNQ1KSu7VAlX7LcHsPuaFJkybSYIKEEEIIIZESD43zV8t2WO67/p0FAID3521GvzY5+MuojrHpVD2CQrcCPp9P2cw7XuTn52PfvvBXvQoKCpCbm4vly5dL9y9fvhw+nw9du3YNCjkrV67UlencuTOAgMChcc8990hNrp3IyclB165dAQRMgLt27YoRI0YEBbkXX3wR1dXVOu2+3+9Heno6nn76aZPvOAA8+OCDGDlypFQzCwBZWVk46aSTcNJJJ+G+++7D+PHjcd999+mE7qKiomC/RLp3747i4mJs3brVZHFQWVmJNWvWYOzYsbrt7dq1Q7du3dCtWzdUV1fj1FNPxZIlS5Cenm6q/6KLLsLw4cOxZMkSSy03ENCqy/rnRE1NDVatWoXDDjvMtlzTpk2D9b/00ksYMGCANICf1TiJ9O3bF3379sVVV12FK664AkcccQRmzpxpGicnli9fjk6dOgW/Z2dno7i42FRu//79uvsinHtIlb1796KgoCDs4wkhhBBCrKhNYDPvf3y8lEK3hLibl0+ZMgWHHXYYsrKyUFhYiFNOOcUkzBl55ZVXTOmIvNDy1mcGDRpkCqrlhqSkJJxxxhmYOnUqtm/frtt36NAhPPvssxg/fjxatGiBvLw8HHvssXj66adRWlpqW29hYSG6du0a/BcOzZo1w3XXXYe//e1vAX+S6mq89tprePTRR7FgwYLgv4ULF6J169Z46623pPUMGzYMp512Gm655RbHNrVUW07npzFx4kSkpqbi0UcfNe17/vnnUVpairPOOsvy+D/96U9ISUnBs88+K93fp08f9OnTB0uWLMHZZ5+t1Cc3vPrqq9i3b59Ua21FUlISbr31Vtx+++04dOhQRO337t0bAJTHW2PFihWYNm2art89evTAvHnzTGXnz5+P7t27A0DY95AqS5YswaBBgyKqgxBCCCFEijehk0gMibv6dubMmbj66qtx2GGHobq6GrfeeiuOO+44LFu2zDJIFxDQZonCuVeBu+or48ePx+TJk7Fv3z40b97ctuyuXbtMeYdbtWqFBx54ADNmzMCxxx6Lhx56CH379sW6detw++23o6qqCs8880yw/LPPPovRo0dj6NChuOuuu9C/f38kJSXhl19+wYoVKyIK6ibj8ssvx7333ov//ve/SElJwb59+3DxxRebtJETJ07Eiy++aOnHfP/996NPnz5ISQnd+gsWLMA//vEPnHfeeejduzfS0tIwc+ZMvPTSS8q+6e3bt8dDDz2EG2+8ERkZGTjvvPOQmpqKjz76CLfeeituvPFGaRA1DZ/Ph2uvvRZ33XUXLr/8cmRmZprKfPPNN6iqqkJubq5lPdXV1aZFE5/Ph5YtWwa/l5WVYfv27aiursbmzZvx4Ycf4vHHH8eVV17pWst8+umn46abbsIzzzyjs2jYv3+/qR9ZWVlo2rQprrzySrRu3RpHH3002rZti23btuG+++5DQUEBRo4c6XhutbW12LNnD7777jvcd999GDhwoM564YYbbsARRxyB+++/H6eddhpqamrw1ltvYfbs2cFFjU8//dTVPSRbCOzTp4/UHaCsrAzz5s3TRbEnhBBCCLGiptaP5CR1WcaqZE2tH0k+7+WibcVm5UpFdQ3SU6xdYSuqa/DXqb/hiG75OG9kR0/7Ux+Ju6Z72rRpuOCCC9CnTx8MGDAAr7zyCjZu3CjVVIn4fL5guqWioiKdUNEY6devHwYPHox3333XsezUqVMxaNAg3b9///vfyMvLw5w5czB27Fhcfvnl6NKlC8444wx06dIFv/zyS9B8HAC6dOmC3377DePGjcPkyZMxYMAADB06FE899RT+9re/4d577/X0/Fq0aIHzzz8fd911F1588UWMGzdOav47ceJE/Prrr1i0aJG0nu7du+Oiiy5CeXl5cFvbtm3RsWNH3H333Rg+fDgGDx6MJ554AnfffXcwYrgK119/PT788EP88MMPGDp0KPr27YupU6fiueees80TrvGXv/wFVVVV0gjrQMC0207gBgLpz1q1aqX7Z4wQ/u9//xutWrVCly5dcNppp2HZsmV45513LLXsdqSkpOCaa67BQw89pNNSX3jhhaZ+PPXUUwCAcePGYc6cOTj99NPRvXt3TJw4ERkZGZgxYwby8vIcz619+/YYM2YM3n33XUyePBk//PADmjVrFiw3atQofPHFF/jiiy8wevRojBkzBrNmzcKMGTPQt29fAHB9D5155pmmZ8aYU13jo48+Qvv27XHEEUe4G0xCCCGENDp+Wb8X/e76Eq/PXm9bToy7JBOqq2tqceITP+DPL8zxuov4dsUu07aqGnsT97fnbsJXy3bgjo+WYteBCs/7VN/w+SOJnBUFVq9ejW7dumHx4sXBCbKRV155BZdccgnatGmD2tpaDB48GA888IBSrl8AKCkpQU5ODoqLi01BpsrLy7Fu3Tp06tSp3pmsf/bZZ7jpppuwZMkS18GoCCHeMGLECFx77bW2bgD1+T1DCCGEEO/oNPkzaNLY+gcnWJarrfWj862fAwBeu2gYjuyujx2zfncpxjzyHQBg+T3Ho0maNynF/H4/3vx5I27/3xLd9sV3HYesjIDFX8dbPtP35cEJeODz5Xjh+0AmoFtO6IkrjuriSX+ijZ2cGAkJJZnV1tbi+uuvx+jRoy0FbiDgs/nSSy/ho48+whtvvIHa2lqMGjUKmzdvlpavqKhASUmJ7l9DZMKECbjsssuwZYs8nD8hJLrs3r0bp512mq3/PiGEEEKIhqr6s1an6TbvF7c9/vXv5gISKqprLIOyVVbX4rHpv+Pwf34rNS93iuX2yk/rg59rEjjwW6xIKKH76quvxpIlS/D222/blhs5ciTOP/98DBw4EEcddRQ++OADFBQU4F//+pe0/JQpU5CTkxP8165du2h0PyG4/vrrG/T5EZLI5Ofn4+abb270MSYIIYQQ4i2i3JokmWeIwvsL369FdU2tbX2lFdUYcu/XOP1fs037bv/fYvS44ws8OWMVtuw/hC+XSlzqhPaaZ5pj3FQK7T/8pX2Q7MZAwgjd11xzDT799FN8++23aNu2ratjU1NTMWjQIKxevVq6f/LkySguLg7+27RpkxddJoQQQgghhBBP2FlSbrlPp+l22A845/KevWYPDlZUY94Gc8rhN+Zs1AnxTu0ZWyqvqrFtuzESd6Hb7/fjmmuuwYcffohvvvlGl29XlZqaGixevBitWrWS7k9PT0d2drbuHyGEEEIIIYQkCn97Xx4IGADW7DoY+iKRgo0ytpPQ7SZauqymic/NwortAZddo4n8rR8uVq67sRB3ofvqq6/GG2+8galTpyIrKwvbt2/H9u3bdXl/zz//fEyePDn4/Z577sFXX32FtWvXYv78+Tj33HOxYcMGXHLJJZ71K8HiyxFCGhB8vxBCCCGJT3VNrV7YjTKrdhyw3PfGnI3BzzLzcqPfdI1DdHFR6Haal8j8vtfuLsVlr82THv/BfMaXMhJ3ofu5555DcXExxowZo0sv9M477wTLbNy4Edu2bQt+37dvHy699FL06tULJ554IkpKSjBr1iz07t074v5oeXfLysoirosQQmRo7xdZnm9CCCGEJAbXvb0Axzw6E+/Pkwdr9ho72bdCMNmW6aira/U+3FW19j7dKcmhWiod/L8rquX795VWApBrwomelHh3QEXj89133+m+P/7443j88cej0p/k5GTk5uZi586dAIDMzEwGRSKEeILf70dZWRl27tyJ3NxcJCd7k86DEEIIId7z2eKA0u/f36/Fn4a4izmlQpVB2DX6ZYt88FtIeywzDTdquqsdNN1Wx8q02lZCd2pKnf6WUrcjcRe6E5GioiIACArehBDiJbm5ucH3DCGEEEISm5U2Zt+RsLdOU6yhmlkrSUXodtB0lxyqCn4WZf3Za/eYylZYBEbT+u+kVScUuqX4fD60atUKhYWFqKqqcj6AEEIUSU1NpYabEEIIISZKK6ot910ztiue/jaQqelv7y1E88w03PmH3hjQLheAWegur7IXhPeVyWWc5dtKTNsO2PRLpS1CoduW5ORkTo4JIYQQQgghnmO0Jj9kk2qrdW6T4Oe1u0oBlKJY0FYbo5V/tGALrhzTBTe9vwhH9yjERIN5vFhePPK+z5arnwCAYgvhneiJeyA1QgghhBBCCGls2Plwq5QVtxg13bsPVuLTRdvw2aJtuPG9hbZ1R5JVxU+HbiUodBNCCCGEEEKIwLwNe3Xf3/x5g+dtuBG6ZSVFYdmo6e7bJhu7DlTYVCjXdNtx1rB2iiWJEQrdhBBCCCGEECLw8YKtuu+3fbgEW/cf8rQNVwpmmaZb2FRTa4yEDmwvLve0H6nJZtExAiV5o4JCNyGEEEIIIYQIyIKHlZTL/Zdrav04VGntj21FxJpuYasxRVhtrR+vzwlp5yuq9f3zW36xRpZEmTK3GhS6CSGEEEIIIUTgYLl9xG6Ric/NwoC7v9IFNlOh0iL/tQxRPh/QNgcAICq3jQK88fsXi7db1x2B6ByJP3hjgkI3IYQQQgghhAgclGi6fVJdL7Bg035U1tRi9prdrtp49KvflctqQvQf+reCzxfohyjuGn26jTm/jZHRRVlZVW7W2iXuodBNCCGEEEIIIQKLNhcrlRNTZqWnuks1PG2ptfbZiCYY+3w+HKgzcxcjlhujlxs10FU1tZb7I9FVU8+tBoVuQgghhBBCCBGQabplrNp5IPg5I8Wd0O0GTbj1AVizqxQA8M4vG4P7U5L0Yp1RCDeasot79xy0iXLu1C9Fqbuxm6FT6CaEEEIIIYSQOqx8s42CLAAUZKUHP0dTsNTqFi28f1q9J/h5Qv9WuvLGc+jbJsey7nd/3aTUB1qXhw+FbkIIIYQQQgip45qp86XbN+wpNW0T5ezKGvXAaOHiA9ApvykA4KLDO1mWe/a7NbrvzdJTdN/FflcoBnST+bSrBmFr5IpuCt2EEEIIIYQQovHDKnlAtPfnbTZtE2XJqppoaroDf5N8PhzZLR8AkJqsrno2Cr1idPPXZm9A2AT7Bdw0vgeeOHNg+HU1YCh0E0IIIYQQQogDM1bsNG1btHl/8LMxWJmXBIVkH5CSnFTXXmzVx07m5VeP7Yo/Dmgt3dfIFd0UugkhhBBCCCFmPl+8DT+s2hXvbiQ01729IPg5mkJ3KJCaDylJAem3plbf3uQTeuq+Z6SGRL0Ne/Wm8cY83uGQ1zQt1C8tjVljl64toNBNCCGEEEII0bGzpBxXvTkf5704F7WSAGJOx368cGtUhdBExBgh3EtCKcOAlDqzcqOm+/KjuqBrYbPgd9EH+51f9MHSwhGOZYpuQQFvC6OXE0IIIYQQQojAntLK4OdDVTWm/bsOVOCqN+fhR4n/84SnfsS1b/2G//ywLqp9TDSi6tNdp1P2IZQerLrWLOQnCzbgYpCzzDR9OjNxHaVpmlqqM5l5ebBfjGxuC4VuQgghhBBCiA4xorVMlJzy+XJ8vng7zn3xZ9O+XQcCeZ+/Xr4jWt1LGJIEYTOq5uVCIDUtgFq1RMgXhV9RsM5MM0QvF67qVWO7htcnh20ts9Ol2xsjFLoJIYQQQgghOioE7bbM//d7iwjfIvVV+TmqS55yWS2oGRBtoTukUU4OaroD2+78aAm63fY5npyxCsnCKoBo7t7EoM0WL6kxnZgVPok6O2Rebt730J8GKNXbGKDQTQghhBBCCNEh5pz2S2TJ3QcrHOvwIlhXPOjeMku5rOjvHs083aJPd0jTHWivptaPqho/amr9OqFbJD1FL/aJPtaq/tZSn26bnW1yM0z9b6xQ6CaEEEIIIYToqBaESb/EOHhYpxbBz5v2lknrOFRVPwOpuVksEMepqjqaPt0aPrRtnokjuuWje1FgcUBTQPsBFDRLlxwdMEsXcRkbzxLNIkLTqosCfHpKSLsuu4caExS6CSGEEEIIITpE4UkmoPUsCmmDj3jo2+Dnssrq4Ofl20qi07kwKK2oxl0fL8XPa/c4lq12IZHmN0sLfo6FT7fPBxzftwivXzwcV40J+GKLpt2XHtlZerxRES2uKyifrUSb/cacjdbF66t/QRSg0E0IIYQQQkiYVNXUYsX2kgaXEkkMjC3T/L42e4P0uAUb90epRwGqamqVx9rv9+PJGaswbck2PP3tarwyaz3+/MIcx+OqXQjP/drkBD9H1bxciF5uJCjc+v3KfvRemP77/X6s3nVQv03XLyGSuh9YtrVEGu2+MUChmxBCCCGEkDB5ddZ6HP9/P2DQvdMblOBdI5zLxwu2Kh/37cqd0egOgIAfebfbvsB5L85VKj9vwz48Nv13XPHGfKzfXarcjhtNd7lgQt/DhS+4W8To5ZZlFOtaurUYT8xYZarbCWOwtI75TTHaJuicsacnPvkDzn3xZ2zYo34tGgoUugkhhBBCCAkDv9+P+z5bDgDYX1aF/y3YAiDg4/zRgi26IFv1DbHv93y6TPm4hZuKdd+9XIg4s05L/eNqNW2pKBC7Mf0WU3F1LWxm30Z1wKf5X+cNwcQhbZXbcIsYvdyIoOiWRhg3svtgpWMZGcaqU5OS0DG/KY7pWYjJJ/Q0lU9O8mFQ+1wMap+rO3ajRQyAhoxafHhCCCGEEEKIjiVb9D7Lb8/dhLTkZFw9dT4A4Lq3F+CpswbhpAGt49G9iLDT9pYL6cSMHNk9H3PX7xXK1prSVYXL6p0HnQsJZKSG9IsLhMWAiuoaXZAvIzXCud92Yi8s2LQfT8xYZYoADoQE+4xUb87RCq1HcvNyn/BZfrzPBxysqMars9abTLzDXRbxw4/xfYowvk9RaJtQWUZqMj68anSYtTcsqOkmhBBCCCEkDHaX6tNm/bxub1Dg1thRUh7LLnmGnc/v5n2HJNsC2suinCa67WJgtWjg9/uxeucBqR+2uHBwsKIq+PlQpfWiQeC4UF1HdS/AmcPaAZCPidZuqkWqLq8IBVKzMy+3F5/LKqrx8JcrMVshmJwMu2Bs0vIMpBaEQjchhBBCCCEGqmtqcfnrv+L/vv7dsoyT8AYAKVEWxlQpr6rBKz+ts0zvZUQ0sW6ZrU9DVVFtPu+UpCTLfVb4/X58snCraw22yGPTf8e4x77H63PMgd3Eczh5QBuhXfs6teMePK0fkpJ8wdzXMu2/XZ5qL1FJueX3W3fD5/NZCuzKeboNh8uOWrxlv1JdjQ0K3YQQQgghhBj4evlOfLl0B/7v61WWZVSE7uTkxJhuP/zlStz1yTJMePIHpfJiILUdJRVBTTYAvPvLJsvjjH7sduLc9GU78Ne3fsO4x2Yq9em43i1N2576ZjUA4O5PzH7nVYLGOjczValPQEi4Tqm7dsl10qbfbxZQg77WHkjdJw+0dkOwC6QmbrLTLrtd//nvlSNdld9RUo6Jz81210gjITHeAoQQQgghJGL2l1Xiue/WYFux2fyXuEPFLPyQjW+zRqJourWo4iXlIXPvbcWHsHhzsbR8jUF4FgOkFR+qMhYPml4bj7Njvsv0Yl8t22G5TyZsVlWHhG4xnZeTZlczL9eunabFB8znp32L9DLPu30c/u/PAy331wbNy837NIHf7qx8UAuypjvGUN64sGAcxzWG9GGJcecnBhS6CSGEEEIaCAPvmY5/TluBkVO+iXdX6j0q0a6VNN0JInSv3WVO0zRyyjc46ekfTcISYBYuRfmrV6tsU/mg0G2Q/Ozk22inWBPNwcXrabcuMGv1bvy0OuDznFR37QSZ22RiruJrrUJes3Qlf227PN2BvljX4fZWzM5IxZHdC0zthPqkp9p48UkQCt2EEEIIIQ2QBZv2K5XbvK8Mj321UhqIqjEjCstWwmF90nTb8ZtE42ynse7bJse0TRsiN2nS7IK1GXGT8kt2TFV1qC1NgF2+rQTPfLtaF4397P/8HPysXTnxXjD22S6Vl6fYarq1In7bflj7dMvLdy1shtcuGoa/jOygdJwYgI7oodBNCCGEENIAmb1GLULx4f/8Fk9+sxpdb/siyj2qX4iClsxfGAAOlJvNrI1skUT6TjRkAq2V0F1VU4tzBMFUQxNGjQG/7AKAuUlj/q+Za2z3ywRHUfO6eItgRl+3+YQnfsDDX67Ec9/J69ZkVNGP2thnr8zLnQimDAtXuvdZ91ElSFtdFdI+aXTO1+c0j1T735BICKH7mWeeQceOHZGRkYHhw4dj7ty5tuXfe+899OzZExkZGejXrx8+//zzGPWUEEIIIaR+sNeQzkoFN1rKhs6uA6Hx+3LpdmmZA+XO6bAGtW/uWZ9iicm8vO6v1WKOVtzNLfTij+uUy362WH4N7I/ZFvy8bFsop7qxiws37w9s9xvP2VloDGm+Q2XLKquxeucB5UjxKoQCtpnxhVTdtj0OVwhWvaTpqdaipWhNYJcDvqESd6H7nXfewaRJk/CPf/wD8+fPx4ABAzB+/Hjs3LlTWn7WrFk466yzcPHFF+O3337DKaecglNOOQVLliyJcc8JIYQQQhKX/WXOWlgjJQqa28aCFhUbALYVy4OqqQjdnQqaetanaCHVEhsEI01ofeDz5dI6gpruKMlTlS5SkWl8s0IuTxhNxLUFBmPfZTKqOXq5ueyCjfsx7rHvcfGrv7jrsA12vuPaNj+Age1ysfaBE/HVDUeayllquh2uWWhdwejUbb9IIX7T+dRT6I49jz32GC699FJceOGF6N27N55//nlkZmbipZdekpZ/4okncPzxx+Omm25Cr169cO+992Lw4MF4+umnY9xzQgghhJDEZUTnPNfHfL1cLqQ0Rsb0KNB9L5f4b5dVOgvdtbV+rNtdiiMe+gZvSHJJxwO7XNqrdhzA9GU7TIKptghxrJC2q1N+UzSvS8XltzAvV1aTOlBVYxR2zRWrCnMmX+QaLQicXLtvpyAOCsPituDx3plX20cv1/rih8/nQ1KSzyRgpyYlIT0lGW9fNgLvXu4uFZixHY3GJzqHT1yF7srKSsybNw/jxo0LbktKSsK4ceMwe7Y8x9vs2bN15QFg/PjxluUJIYQQQhojKlpro+Dyt/cWRqs7CYXf78eqHQdsg3Md0U0vdMtMYlWEjiMe+hYnPPE9Nu09hNv/594yc8mWYtz24WLsOejeXcAKWcovjWMf/x6XvvYrVmw/IN1fmJUe/OxDyN9ZG55oabqNCwUy+Vq1aWM5TdNtF7HdqQ3R71um/Y4Uu+jlMpqlp+q+F2SlIznJhxGd8zCsUwtD3Wptm7YrWAaE9pnHpzERV6F79+7dqKmpQcuW+kT3LVu2xPbtcr+N7du3uyoPABUVFSgpKdH9I4QQQghpyFgF/xKpqG6c0Ybf+WUTjn38e1z95nzlY2SRtjUZrWdRlu2x5VXhj/PJz/yEN3/e6OmCiFG4XL8nkE5sX2llcNsnC7fKDxaFJ4SEqbfnbpKmULOSr9yaGJcc0lsVyK+HfptVujbjYpMWddtcp6/u/9bSpHaMKHCGtnknddsK8j59GQAoysnA7RN6YUiH5jhpQGucNax9dNo2dyP0nXHUgsTdvDwWTJkyBTk5OcF/7dq1i3eXCCGEEELiTplCnumGyL++XwsA+GrZDssyJt9didyslfnjwNbedc6AJiB/u3IXFm8udiithlG2fKFuPMJJy6XJtS/9tA7Fh6qUc2+7SRcGmNOzyY43LiZ0bylfDDEeOr8uZZqSptsiD7komJtDq3mHbAGgfYtMDOvUAu3zMnXbLzmiM/575Sg8ddYgpKVYi33/nLZCue1TB7UJfleNeh44NkQjVHTHV+jOz89HcnIyduzQv/B27NiBoqIi6TFFRUWuygPA5MmTUVxcHPy3adOmyDtPCCGEEJJg2E2sZZRWOPskN0TsclBbYSckpiW7G/f1u0vxwOfLXQeuO+npH12Vt8LqTIw+zfKD9WV0ZtXwm4TSJ2eskkZ/Fy+B2/tW0g0AwMzfdwU/L9taguXb5NatVqdpvC2UfLphrelO8lDSsssHfs7wDnj38pE4f2THMOt22C98bpWTYX2c4iqD6sJMQyKuQndaWhqGDBmCGTNmBLfV1tZixowZGDlS7uA/cuRIXXkAmD59umV5AEhPT0d2drbuHyGEEEJIQ0O0pj2mZ6Fj+caq6a5W0Oga5QKZ0K1tSncpNI555Du88P1anPXCHFfHBdqMXGD5cdUu6XanxYiPDSbnPgD92+YIfTML9G/+vBGXvz7PVJdbTbfK8fvLKlFdU4vyqhrM37jP8lgrDa3R5F1qHm66L7Sy5jJeBlKLOE+3AlZxA6zMy00+3abo5aHvjd3UPO7m5ZMmTcK///1vvPrqq1i+fDmuvPJKlJaW4sILLwQAnH/++Zg8eXKw/HXXXYdp06bh0UcfxYoVK3DXXXfh119/xTXXXBOvUyCEEEIISQhqBVmyRdM0x/Iq0bcbAsWHqnQ5k8PJEyw7RBP8wtHUAsDSre7jDHnhh79y+0HTtnkb9mHCk/aa9Gvf+g07SkKCmR/AlNP66b6rytJiuXAWEmTXo7LGj2Mf/x797/7K9t62as4qerkdcvPyOk23h4Jm0E/cuypNOC3CNXK5OSJS4t2BP//5z9i1axfuvPNObN++HQMHDsS0adOCwdI2btyIJME2Y9SoUZg6dSpuv/123HrrrejWrRv+97//oW/fvvE6BUIIIYSQhEAUGlTEGC2AVkNnwN1fAQBmTz4arXKaKGlZjdpQmWAY0nQnh9UvpwBsMhZtLjZFn1ahT+vsoJAvO/8/PT9LSWA2msRf9Oqvwc9+v19Zgy2WM6YDc3u8RnVNLdbtDtzTc9budXUsINN01/0Vtpm15BLzcm1dJFaB1CJkQLtcAEBzy4U6i+jlhu+20cslPu+NibgL3QBwzTXXWGqqv/vuO9O2008/HaeffnqUe0UIIYQQUn/w+/0682AV4edv7y2KZpcSjgUb96NVvyY6TffcdXulQqzZvNxcnyaAWUXJdiK7SSCt06/r9+KqN+ejT+ts3HdqP7TJbWJ5jIo/+uLNxXjoyxXolN8U95wcUEw1Sw9N++1M5Z0Qfbh9ABZu2q+rw6qaQ5U1aJIWWpwwia51OaZVkQW2EwPBfbPCOue8qk+7Sne0y5HkMwuVXsrHoTq9l7q1Gpum2S8emc3L7W8asbz4uRG6dMffvJwQQgghhESOSRZTmNhmhGkWXV9JqhOOawTN6hn/mi0taxw+O0HVjfZx54Hy4OddBwKm2mf/52fsPFCBb1fuwinP/GR7vIop9t6ySvywajfmbQj5NYtHhRNITkMmXIb6BkuJ6sEvluu+G8ez0mXkdJlftqrG3NK83Kjp1lKG2eSYlgU407bZrcW4NamPpqZbw+fzBeu/9phuprad2qf5uTWN601LCCGEENJAMQoMKlP604c2rjSqKXVSkIpPtzE91/4yc6TxcLSPw+4PBQTWTKErBT9tTRC3QkVeDkbP1gmL7qwgrLAVJG2SSBnTsxk11W5zmdf69Vp2wE3KMwtz6TCiccu02qHganb5vUOfVQwlMlKTkJWR4jpon1tOG9QWAJApWiUonI/K/hCNT9VNoZsQQgghpAFgFKTcCFZZdabHLbPTPe1TIiAuRmgppVRSY322eJvu+0cLt5jK2KVx8gpjQDwlf3SJplU8rDaCWGxJNhLi0q0lllpk40KH8TwqqtQj6V89tgvSU5Jwzn9+1m2vVAwyZ1y40O5/s6Zb/xew0O5DL3BqkdP3l1Xa9CFUk4qw+o+T+mDxXeNx+VFdHMu6RWYGHkb2OGIDhW5CCCGEkAbARiE6N6A6aQ4U6t8uB0AgINjBimpUVNevVGLlVTVYuGm/1GRX1H6+NnsDgDDzdEuO0ZpL8ul9pr3EqNkc2rG54zGaUC0Kc7UGTXe4qcd8Fp+BwFhb6bqdLDHcaLpvGt8TTdNTcNCQZ15V6LbSaJt9up2FYW1cf163Jxhk7oXv1wIA1uyyDlQoXg/VkAArtpfg0td+xd2fLFU7IAy0rojX8fKjOuOdy0bglEFtdGWN19ruNOjTTQghhJCEY9nWEvy8dk+8u0HqEcaJuMq8ViujmSGXVlSj7z++xOgHv/G2c1Hm0td+xcnP/IQ3f95o2iczOQ5H6JZZLv8a9Jn2oXNBU9d1qpBkEPwy05yF+1qJpls85Vp/eBHDAeBfdQIlYL7Hknw+a023YQCNmm4V6wMnurVsplTOSlg0RS9XqwwAcNuHS3Cqgz++7jCdn7Sa1L37QCWmL9uBWauj99sg60rngmYY3jkPbXKb6KOQO1yyxp6bW4RCNyGEEJKAnPjkD/jzC3Pw46rd8e4KqSeUHNJr/dTMkAN/NcFuT2nAHHb3QWuzWK/x+/14f95mbNhTigPlVeh4y2d49rvVrur4oe45eWXWetM+o/bTmPJKFeN46n2vo6O68/v92LL/kOvjpD7dhv3iYsThXfPD7qNIks9nHRncwbw8XM27vo7wymlCr1X0clmQtOB34bOdZtuuD6qa7uB19TIBOOSLC0qWMsZ6FFOGNUYodBNCCCEJhjg5PffFn21KEhLikNEn1lXArSh0SJFnv1uDv723EEc9/B2OfnQmAOChaSuVj1+yJRTwTDOL315cjm3FAWHVqNEdfM/0sPp5ZHe9YKr3141MpEizCI719DfuFh80pGmsDOblotDdND28POPGc05Osl7ssfKFjoSzhrXXfVeNgG6dp1v/XeWqhhuUTm9ernb31MTgeY3kTlY9thFal1PoJoQQQhINk/BESB1LthQHI14bWb3zoO67TBiorqnFfZ8uwzcrApGktRLh5pkOB6MJ78NfhgRsp8jdMi5+9Zfg54qqWlRW12LElBkYOeUbVFTXmMzLVSKXyzi6Z0vLfZGa0Q5qlyvd/uj03839ePQ77Cgpl5QOoS0+pKeGpvqLhGjszdJTdAKqV9d/TI9CS4kq2TBIJk13GO3tKw0tfDxwaj+M7VGodJxZ0y3vU0jTbZ0mrawyvPd1OEK3tnASzec1FEhNPWCfRmZ6Mp45e3CoLkEIb+ym5hS6CSGEkASjzBAciCQeldW12HPQvYAYCXsOVuAPT/2IsY98Z+qLFi1ZRDZn/vC3LfjPj+tw0Su/WpaJJjN/34UBd3+FzxZtcy6sSPGhkLl4ZU0tyipDz09xWZXr/M+qmIYuTKmittbvysd87a5S/N/XZmFc5GB5YAyaWvh/D+vUQjnomBsyUpOthWfD8Hhx7+0/FBK6R3RuYYr0rorWtZ5FWTqrA6crGon7T0ZqyLogJVlR0y0JkOcFYn1uqjZewtTkJBzR3dlVgYHUCCGEEBJ3wtWckNhx1r/nYMh9X2PjnjLnwh6xSxDyxejiN763EKc9O8tUXhZFeqdJkxwoIwqu0eQvL83FgYpqXD11vmd1ihN4Yy7tgxXVLnI3h48PikG3JFTX+l0HEXMS0g9WBO6PphYR1Wtq/Zgu5M3+fPF2V+3bYaUhNWpzzT7d7tsShyElKUnZ1NvKpzslOQl5ouAuuajisXPX71XtqonU5JAYpmxeXnfCijJ6RFgNpa6rkjKWx+kOa3xSN4VuQgghJMEQ0+CM62Vt0krix7y6qNWfLNoaszZFreWB8tA98slCeR9kcpmYfurOj5agstraXNWLwFaRYIx2bYWxl6L5eHWtH9VhRul2g6rm8dqju5q21bjUdAPO6bU0LbZmXm68ljW1fvy+46DpOLeUS1xhlIQ1aTn310k8r+Rk6yBuRuyEc31KNPvrGmuL6ZwmqRjUPhfdW2ZFsZXAWXnx1DR2k3IRCt2EEEJIgvHGnA3Bzx3zMuPYE5JIiNroUgUXBJlcUSLU8drsDfjv/M0AAlpCleNjyeZ97qN2AyHTaiC81GDh4IOagNGjKNu0rbq21rUve/sW9u8FTZMYzLlsGIZavx8ju+S5alPG1mKzb7nViBuHJ9wAZFYk+3zwKxo1aC1PHNwWANAmt4m0nHhNg77OwhnGWqgc2SUPH141Gg9O7O9pvbqFhqBPt/Nx0iKWiy7qqcYaIhS6CSGEkATj7V82xbsLRBFVs1A7/H4/lm4t1vkiy3jpx3XBzyrBwGSa6ictomHLNN2TP1iMF75f49iOKiu3H3Ask98sZNp70lM/4qMFWxyPMZ7nEzNWBT8v31aim+DfNL6HQk+jh8ystqbWj20S4dWOvGb2vsvaOYcERWObQGFWuqs2pf2Q+FBbCVTGZ8VYLhxBrH2LUG705CSfrSCvCdiBtgLljupRACAQWE5D59/s0H5DTIPl5oycrGGs6mqEMjeFbkIIISSRaYyTk0RHFI6dhB8Vvl6+ExOe/BEnP/2TbbkfV4eCNhkjgMuYsWKnsol4ikTofufXTXjg8xVKx6vw87o9jmXSBD/XAxXVuO7tBY7HGLXZH/4WEtQnvbsQG/YGor0n+YArjuqi2FtnxKH1+SLz6fYarUYrodCtD7kVg9o3l7QdqHtoh+a6/N9GE3wvNN2pgnNzRmqS7fvy1EFtghYCofFB3Xf5kVK3AcN1b6hYjomujDoNeKiUoNBNCCGEEOKC0oqQH2uTVH1+44rqGtemwu/8shEAsGqnvY+tKFwac09bsUJBuwwASTYpiGR+u+GgImOlJLufmjrJrAs27gcAFGVnRM1P3edT8+uWCcGHKmsszZutcDyNugJW6Z9qa/2emPhKZdK6ekd0ztOZsBvLGq9bON3RNNS5manIykh1FOSN4+FkSq0zL5fsj3QMB9SlijtlYJvIKooQ8TyHdmyOM4a2RZ/WOWHV1RiDpKlAoZsQQghJYBqj71uiI04qq2v1TqQnP/0TDrv/a2zepx7V/OvlO5XKiRpRu4nt8E4tgp+N0bytsBMX35+3WakOJ1QE3mikH9bGzefzSQX05pmpYdUrXoPRXZ3TJFkhaua9wqzJ1VNT6/dEOJJdL1GgFYU5Y1nj/RDOu0475MzD2gMAMtOSceHojhZl/Zh0bHfcd0pftKvTePscgoZJBW3hc01tZJHxX7toGJ4/dzD+fkJ83R5ETh3UFg/9aQCO7e0cxNPpmlmlIot3kMZ4QKGbEEIIIcQNwnzRGBlb0yx/4WEKJg1ZULCDkoBqou+sGHBt/e5Sy7rtfNM37fUmLZrKNNsrs2ddnbUhIVCmCc3NjNxFwO8P33zWmK5NjDAfSX+AkNAjnvaz5wzG+L5FnviuyDT3WmR9o9l8VoZ+ccNLq3rt9s1MS8GlR3S2LHfywDY4d0QHFGZl6I6zMhnXfzafa1WEJ5HTJBXH922F9JRk58IJyPXjuoV1XOf8Zh73JPGRJ+8jhBBCCCFSxGm2Tvsspi+KgsrWqFUHgC8WbzNtEwORi0LmA58vt6xbErxcV8fzM9dgxbYSPHbGQFtTdDvsTHiDQqKF+XWTtPCFkhqDKbGp/bBr9obsjFRUCunR/jKqY8R1alpszdVB1Gof3i0f2RmptoswqsjG9IM6zf2qHQcwtGPI6sIYuM2oaQ9H8y67p6wi1svKOvl0y+4OsZ5YRcePNm4Cwl19dFdcdlQXpCT5kJFqfi6tn3Mf8pulYffBSqTEItF4gkFNNyGEEJJgiEGt6B+XeIiTSlHoFnMnN033XnMlm+BnNzGbRltNoDfssdZY2026a/3Ag1+swP8WbNUFc3OLleA8SvD77SBJkbdkazEAoKS8CiXlVUpB5ES0nNU+2Ee3jpRWuU1cp/ibdGx3XDeum+6cvAjOpZ3mZ4u3YZbhmlmlEQsHu75W1vh177Ki7Azd/ggts/X9ED67OS+ZT7elpltyfJUhl7yKSXZ9Jz0lGc3SU6QCtxHjmMksLxoLFLoJIYSQBMLv90clmjHxDnEh5M6PlgQ/i6beKhNSt+i16oG/sqjjViaxK3dYB1Wz017X6BYWwg+qNmuNPHp5TyF3tWwyrgmkw++fgf53fYUt+93l79ZM7EWNuki4T5uxrqfOGoTvbhqrfPyxvVvi2mMC5rlWiwF/PbqrvG2HusUFoOdmrtH19djHvsfAe77Cqp3y+0G8f54/d7BtO3bB46qqa3XtGvtsPOfwfLolKdgsKrKLxS3ua5qWYtgbID0lyWT6b1wIa3z6W3c05vGh0E0IIYQkEEaBuzFqBGLFbxv3YcmWYtfH6QQJf8CMFghELtd47jv1/Nb5zdTyJcvuBVkUc5Uo2kbsLMYXC2MUTl7y73/fhYe/XIFPFm51LCsTorRHIlyrj2AgNXiTpkpD9JePtFrdYy98PmNou7Dqe+mndcHPpQa//5LyKuwvqzLFI9DQWdo4Bcqy2VdVU2t7zbx8t4m3pRuTb+048b6Ydv2RwWjy4rO09J7jsfK+E1CUE9LYN5gFUg+l4QYyIp5DoZsQQgiJA2/P3YiOt3yG5dtKdNsbio9golNSXoVTn52FPzz1I6pr3Nm5Gq/QsY9/j837ylBRHapHNVUXAISRJSuI6Oc9qH0ugPAigNsdMm/DvuBnO99vK85/aS6e+dZ6EcK4iGHe79ftcyv3a9fX5/OFLRCcPLC1advSrSWSkuqIpyEKfWIftSjbkXCwolo3rtrCidUChJuFFbsFnsqaWmQLwdNMacu80HTb3C8q261M7YMR2B3ad/vuSCRUF/siwer2aIxuUxS6CSGEkDhwyweLAQAnPPGDbnuD0ZwkOMVCKi1RWFZBNnn/bNE2VAgmvW7zLoeLqK3UNJThKK1UBS23WvRVNibtMmSCoN/w120ftCBlST7AL7nUKumLkh3ajFSIiFTru2lvGd6euzHovy4yvk+Rrn8h7a68rmRdTAlgyd3jLdu1W+A5WF6NM4e1x+0TegXrEjF/D38QxJgEVublr83eYD5O8zG26JvTrWZ8X3vhj1/fsXueGvP4UOgmhBBCEoj6rDmpT4g+zMaUTU7I5pTbist15uVicLBw6lNFDOSkCR6iAK2aD9dOkL3iqC5CG+r8tnEfjn38e8dyorAl9enWNtb9cavJL6sMXJeM1OSwBTvZUZEKEOLxBVmRaR2Pevhb3PLBYvz7h7WmfYPbN3el6U42mJc3S7dOdmQ3BFl1Qf6s7i0vTf3FJnKbyFPAyc4jyULVbRdNXyQ1HNOPBCRasnA4ri4NlYZxpxBCCCH1lOwM/USQmu7Y8+bPZg2YW2r9fp3G/L15m7H7YEXE9Toh3i+aECNOdFUFG7u5cZ/W2UI59Un09GU7lMqJXdxfZl4A0fYHz8+liFBT60dOk1RkZaSEnRvaaRwjlR9FgVBloWT1zoO6+0s7r9mSYHXGIHnaIpNVO07p7q47phtuOzGgvZbdD+9cNgKHd83Ho6f31223MuG22q+C7ByKcjJMUfA7FzTFHX/obSobjF5urBd+3X4rju9XpNzXxCP2vzUXje6Ea4/uioIYmLYnGszTTQghhMSRtBR9lGujT7eqppK4Q7QoOFBebVPSjFW+X6Np7wvfr8WtdcJJtBA13Vq3RJlJVci0k7NEgdONlrlJGBHcZRHW95ZWAlA3+TUyums+Pr6mJwBgj2QhRGWI7HI8h4vV4oHKNXtr7ka0zsnAX+uin9uRbOHLbuUvLprSyywDnpixCreeGBhP2bUY3jkPwzuHLD1CubD1eLm+aEpNZfj+zY1jLI6Tp7BSfe2mGQIyuF0QaojYDd3lgtVMY4OabkIIISTGLN4sRoPW7zPmfSXRQdQQp7g0EZUJIqt2HjT5hqtey0hkDzF6eUjTDdM2J+x8uvVCt7pQkdtUb+bbPsygYPd9tgyAenArIzU6a4CwuiC/Rjrh1DtUz69S8f5KSpIv3nXIa4oLR3eUlHeOXq6Now8+ZNmYnwNiLuzINdtGrKr44rojTem9pAQ13Ya+absbiQzdWM4znlDoJoQQQmJIZXUtPlu8LfjdONkxabpj0alGiBiA7KgeBa6OlQkLs9bs0fl0A4FAUuHW58Syuqj3osZeq0cUjFWj4bfPsxaIxbFyMzcf37ul7vumfWUujg6x+6BR0+3evFzDjU93oeBn7aX/sYZ4GrJAZ06oBgC00nT7/X7ccGx30/bMtJCFwtCOzaV1uokkb1XEbfTy4wz3k74RfStN0pKRoWBpYRW9PLS/4UqjNKKKLRS6CSGEkBhy8au/4PmZofRJO0r05q6yvMvEe0QzZrfTaqsrJEYvBwJ+3Sr0bZPtXMjA49N/BwA0lfgC6wOpqdWX0yTVcp8oHLkReI2+xGJfhnZoLmxX62S4KcN0QreLx+uty0YIjZv3i91QD1jnXCZZwfKiU35TtMzOcCwHAM2bpslTawHIzkjF0T0LddvPGd4eXQub4ezh7dEqp4n03II+z0o9CLUn4nYhY0L/VgCAts1DmQF6tcrG8X2K0LWwmbk9hfqD0csNRX+5bRzWPzgBvVplueojNcYU5q2gTzchpF7y0+rduPuTpZhyWj8M6dAi3t0hxERtrR9v/7IJgzvkomdRSKj6YdVu2+PEvMskelz71m/Bz1YphqywmsyrmvtqlFfVoKK6Flcc1QXfrdyFLgVNlY/VBOvTh7bFrDW7cWS3AkyduxGA3le3tZC6rHvLZvh9x0FpfXYaPdEU3+gOUV5Vg6VbizGwXXNTAK4UCwfw3MxUPHfukOB3p9HPykjRjXkk5uXyvM7y47oUNMM9J/fBnR8t9UzTLVaj03QL2y89opNjPR9dM1qXA1tWJxC4Bt1bZkkj9Fvdx03TU/D1pKOC32XWEjKrCit8FtHKTH7UDnfCHwe0RtvmTdCtZUgQPmtYe5w1rL20vMols/I3D+5vJFJ0NDT6jWTolKGmm5B6wMGKatz03kL86DBZb0yc85+f8fuOgzjzhTnx7gohUj5auAW3frgYx//fD86FAXy+eBvOfGE2tu4/pNtOrUHiYa3prrHYI6fnHdMw4O6vQtGkw+hLekoynj1nCM4c1j4oGA7v3AK3T+iFqZcOx7BOaouSdhNk0bz825W7dPuue/s3THxuNp79drXpOKso2KO75GPtroPK2uG/Ht3VIKy6m83LIryrYmd+rDcP94ZXLxqGPA8jO1fX+jH5g8XSDgYzsRlOziiAyQTroH+9inm5RRnX18Lnw5AOLaSLDeHWb+VvHi71SdDkT0tsodBNSD3gsa9+x3vzNuPcF39mJGMDiW6Ku+tABV6fswGlFe6iI5P6z8JNxc6FBK56cz7mrN2Li175NUo9Il5h9RpW9bE18vf/LqqrWP0YmQWyqH285IjOGNUlX7pfhp2sIAqtL/+0Trfvy6WBtGCvzl5vOi4rIxXPnjPYtP2zxdvw5xfmWJr2GmmWnqobGrdyzXkjOgQ/u/3FCPZRcmSk2sFIjndz5MGKann/LSoxbk9K8qFfmxzdtnBM/U3BysKMGK7enjNW0cuV20jsKUhccBM3oTFBoZuQesDSraHJ+4+rqe2uT9z24WLc8b8luFmbVJNGg1dRyDmB8R7T4qXrIZYfEG5kbFluaidkAlsoorQc0dTcVJ9dyjDhxKwWFpqkyYNWqZyb0z3uhx9JPmDZPeOx9O7xyM1U03RqZKSGpru1MlNpm/a1cZFdWyvzcDusxjmawltmarKp/uaZqZauWbIuXmIweReD2jl13cpawBRIzaEet7jSdDfy92w0NPT1SOkfEyh0E1IPEP2pVu+U++ORxOSrZQEt0GeLtjmUJA2N6gS3wmjMqEb0tkI2l+9S0DTiibubo2WTZFkgNRGjtlJfn5pP95Vj5Hl2M1PlYYIMaYxxfJ8iy3as8PsD/ctMS0HT9JSY+tkmKWrjrVh2z3icNqhN8LuuHslpyM7sh5vHmralGgfWhpMGtLa9t4z7ZMN78sA2uu/B9HQqHbAYw2hriV35dHvUl/oU7TxqlpP86ZMSN6F7/fr1uPjii9GpUyc0adIEXbp0wT/+8Q9UVlbaHjdmzBj4fD7dvyuuuCJGvSYkPojBeerP65yQxk2VYkC0Jg5pbWi+6D3GwGluhWVZ6TW7SvHG7A0R9MrdJHjDHnP6rXCjewP2vy01Cveylf+2uADQp3U27jmlT6A9F1pip1Fxo/kWtZ9Wgd5EtBJfL9+BX9fvle4DYNnJzLQUPPbngcjKMC9K/Lx2j9PhAPSB8QDgs2sPV0qHBQCpyT4c3i3fnCPb5hgVwfGLxdsBAL8YxkRenxxzyjBvX3ZK1cljvBEPaCxB6FSJm9C9YsUK1NbW4l//+heWLl2Kxx9/HM8//zxuvfVWx2MvvfRSbNu2LfjvoYceikGPCYkfQwUTMNUfWhJ/xAlEQZZ3gXFI/UBV032oqgY7D5R73v7rczZg8geLpOa0jR2ZDOlG+201md9aHNl1jPRKBdM4Wcx1l9fl9pahqum2bluOKIz7fDYFbSsPHHSgvAodb/kMHW/5DHsOVhh3KyGeylhDqiwZ4rC8NXeTdRedTqxu90uCT7yWf9yqPRmtcjLQp7W1xYIXqMhKWsq933ccRKf8QNR9WdouESefbq9RMS8PWTI07vck5ePoEzeh+/jjj8fLL7+M4447Dp07d8Yf//hH/O1vf8MHH3zgeGxmZiaKioqC/7Kz3ee3JKQ+IWoZDrmMjtsQqS9ChGih0L2l/WSENDzcpP565af1nrd/x/+W4K25m/D9ql3OhRsZxsn41v3lGHzvdNzzyTKl46Pl/2nM8+2WkE+3fAY9Y8VOy2Pt5tz/9/Uqx7athBZR6BYfCbG9O/7Q27F+Y12i8OokXIkLCtKc03YB5oRj/ztfn3c9xYWJt9bHeRv2SfdHW+jbW6oX8MXmjE271VBqQrdV6q5QhHD99mj7dLtQdHvXdj0SXqN1x9WPGVrsSSif7uLiYrRo4Zza4s0330R+fj769u2LyZMno6zMbGJFSEPig9+2BD+XRzgpawiomu3Gm9827g9+zkihhUJjw01kfTsz1/AUg6GjSiu4UCdSU+vHGf+ardv22uz1KD5UpRPk7IiWfBRploOQT7f7Y6Ol6RLNy8sqq3UBuDScLLi0Y1KEkO1llaH72s1CrNs1W7thOaFvyD9dvCc0U/IOeSGzcNVmo+UTvKfU3n1T34fwsDrO6pyivX6uspBhlUO8MXHFUV1w2ZHyWA2RUI/WH2KCPOpFHFi9ejWeeuopPPLII7blzj77bHTo0AGtW7fGokWL8Pe//x0rV6601ZBXVFSgoiJkhlRSYm1eRUgicqA8NBGrDDMlTUPCaLa7YU8pOuQ1jVNvrHl9TmT+naR+U+0ienmyLP9TBCwTzIgjEabu+ngpkpN8yprI+sC9ny7D0q36eYDb1INuhG6/36+sOSytrHZV3qpf4RwfqdBtNSaidnpfWVVYCxbaMeLilFiP0UffoTZpHVZYBaUDrBcLPrhyFJ6buQbXHt3NVVuRMKRDc8zbsA+ju+rTxGkCr9Hn3k4gdXsvqJ6asZzJz9zjMVIR6ilzA38a0gZdC7Pi3Y0Gj+dC9y233IJ//vOftmWWL1+Onj17Br9v2bIFxx9/PE4//XRceumltsdedtllwc/9+vVDq1atcMwxx2DNmjXo0kW+SjNlyhTcfffdLs6CEJLIGP0L523Y55nQfaC8Che98gvOHt4epw5qG1FdIzrnBaOWu5sUkvrI9GU78Mv6vRjZJQ9jexQq+cFq2FmphnPriJqlcBfqVu04gFdmrQcAnD+yQ0IubIWDdk4i63aXuqrDjXl5rR9Itok0bixbXetHquwABAQnO99zbU9Ymu4I9VJWYyIKrcWHQunDjK3lNU2z1MYGNfjCiYnj4GT8JLYlGz5783K1esUqurXMwmNnDNSVFU2pTx7YGiWHqnDpEZ2tK3dJy+xA3BAtMGNmWjLKKmvQp03ABdNu8UAlerkKTnm/zeblTj2JPqHo5eG1bbzv65N2N3TK3vY6p0kq/nXekHo1FrHAc6H7xhtvxAUXXGBbpnPn0Etm69atGDt2LEaNGoUXXnjBdXvDhw8HENCUWwndkydPxqRJk4LfS0pK0K5dO9dtEUISA6MGcdPeQ57VPebh77CntBK/rN8XsdAtTnx3lFSguKwKOS7zy5L6w6w1u/HyT+uRnOTD2B6FrvJ022m6d5SU4/7PluHPh7VT1kbo8hKHOZkUBaSfVu9pMEK3EyqaZjdDWlVTi+Qks0bUqg67uouyM7Blv/X7LpjGKQ7m5SpjMrprXlj+8LIjxEUtN/e428fBblye+ma1ervC59a5TfDEmYNct2fH34/viSuP6opWuRkAgI+vGY1XZ23AVWMDc2OVSO3BPrgUl5wEVsE+Qbe9TfMmOG1QG50LXayhptt7MlKTMT6M1IANHc+F7oKCAhQUFCiV3bJlC8aOHYshQ4bg5ZdfRlIY5nULFiwAALRq1cqyTHp6OtLTGTmYkIaCUYP4+Ne/47px3SxKu8ON35sToiZm+bYSDLjnKzw0sT/OOIyLfg2RLfsCwpDmv+8mT7edpvubFTvxzQrgpZ/WY80DJyrVJz4i3VuGZzYo1rFo836cPVweJKmhYaWZ9r4d+f1hJ5Q6CTeRmZdHqumW06WgKS4/sjMKstJxyRGdsa34UF17xvZt6pZqp0Mb3VgS6cfd+bgT+rbCDe8slO6rqA75lTtdm6fPGoS7P1mGLfsPWZyPY1dsMS6KdS3Mwr2n9A1+N74H7JoLW9Ptsr6B7XIx8M8DMX/jPqzfUxan9IiBzoW7OEmIKnELpLZlyxaMGTMG7du3xyOPPIJdu3Zh+/bt2L59u65Mz549MXfuXADAmjVrcO+992LevHlYv349Pv74Y5x//vk48sgj0b9//3idCiFRp2laSEsSrai5XuJGw+dF/TlNvNMeayZ6XiDzE735v4s8q58kFl8t2wEA2LA3YKrsxrzczvRTwyml1cs/rcPkDxbB7/d7Egl5b2koFsrbv1inSmpoqIydF/PzaLzJg5ruMI6NdJ3Baty6tczC5BN74ZI6U+rgwkCELYrPl7Hpkwa0tumnu3bsgrxVuHDdOK5PkS7wmhXRWu9pkpaM5fccj69uONK0z3jt3C7AOA3pj6sD+ci/Xi6Pnh/PfM5Wpu/h11d/jKr9EVjGEPfETeiePn06Vq9ejRkzZqBt27Zo1apV8J9GVVUVVq5cGYxOnpaWhq+//hrHHXccevbsiRtvvBETJ07EJ598Eq/TICQmJMpL/PcdB7DPQRM86d0FGHTPdOw6UGFbLhKMwkfxoSpPBP2t+w9hR0mo33Y5bVWoqSdR1omZ/WWVWLq1WLl8SXnIFHvx5sBxbgRfY5AjK+wE77s/WYa35m7CrDV7dFrqcCeTqumzGgIdhSjTKmslXix+itflrGHtpNvN7arVqbKIYyRi83KPyzkd8+WS7ZKtAYoMi6fiuXmp0RTjJbgL5RafxfMmaclI1cxq7PzY3VbsYGGh+i6Mx6iEfLojryslyRdWPAXSOIib0H3BBRcEV+ON/zQ6duwIv9+PMWPGAADatWuHmTNnYs+ePSgvL8eqVavw0EMPMU83afBEO3+nCr/vOIDjHv8eg++bblvug/lbcLCiGu/+Gj3N2A+rdpu2vTV3Y8T1GqONX/TKL0rHHaqskQarchsRORHYuv8QJjz5Az5aED8fu0Tg8H9+iwlP/ojfNu5TKr9V8LPVJrVWE9DTBrUxbVMVkp791tmH9EB5lU6wCHeCv7W4XPfdacEtUdlzsAK7DlTYLlg0TQ9526mMl5tX8r4y+biJ16h9C2/85SPRXKlqnv881CP3GFNz8vYP69gcIzvnmbYfENKrpacEnrlB7XMDNdkMQNfCZph+w5GYceNR+OvRkbkluQ1SGOyWzLw8gazYvA6k5nhc3V+vpzpvXToCQMDFwbJtj5QavVplY/UDJ1r66hOSUHm6CSFyop3LUoVZqwOCruqPopugLW75x8dLTdvW7nIXfRgI5Hadv3EfyqsCfnnGHm8zCB0yyqtq0OvOaRj14AzTPjc+vYnCv39Yi6VbS3Dd2wvi3ZW4crBuQj/z911K5UWhWftoNZfr3Tr8heJHp//uWOb1ORt0AqZXE9nZa/d4U1GMGf7ADBx2/9fYecD6eRbTMqqMl5shXbXjoGOZp79ZpVSXU99C0cujp+numG8hwCgOSnBhQLH9c0d0UH5mirIzbOsCAubi3VpmoUtBM6U67eiQL+ThVkpPFeiYbVGH6xDp86xymZ0WYIy/7xEvGERpuqD1y+55iDR6eX1GO2Mq52MDhW5C6gHiD1q8fhfcNqtqLhsOXtX94o/rcNqzs3Dpa78CAFrWTdg0mtj48mms3hmYUO8+aNZmyczLrxojz7KQKETTLaA+kmoX4Uzgq6UhU9eg0G1RNtrP8E+r9+gsP7xqrr5OzLQJt924b9xbFvysJHQ7FBJ9d61Kipru0koxIJdz+1ZEYjodsU+3ajnX0cOde7boruOw4t7jUZRTJ3QbzsZJiAxX4LpqTFdX5e0EvJMHtsEFozqiVU6TsPriFtkZX3dMN3z618NxuCHXtyrRigsQfoWBP7Zp3xi9nMQICt0kZhwor8IhYWJB1EkETbfb38JP6/JT21FRXYOr3pyHqT+7Mw2/4ihvBNfX5qwHEDBX31taaQrIdqjK3f1qnDBUSS7chP7WmRYSgUSN4PqfH9bipvcWojbGD4OqxYaYxkmb4Fv6NypO79woK8V7L8kHvCk8U15NZBdtUfdxTyS0cbS7tx//84DgZyXzcof9mrmzbR0WlUSiNYzMpzvC6OUu7zPV5lSKpackIyM1GeeN6IDXLx6GM4aqpXv0wrI4JLSpqLrrykqKXj22K+76Yx90srIkMLQXDTrlN0XfNjlKqS21OAgD2uXGRPseDtrPhd2ii8qinB0J+pNJEhAK3SQmHKqsQb+7vsKge7+Kd1fqJwnwUlfpgmjSumDTfsfynyzchs8Xb8etHy7GF4u34bXZ67FQ4bgWdROCVjkhzXQ4E5EUIU3h4HunY3uJ3vz06J6Fruoz+owa84kDQJ/WOa7qjDUrtx+Qbl+/uzRohh8P7vtsOd6btxk/rTH784fDut2luOm9hVi7y970V/W+ymmSFvycW3d/WsnrsvylsqBtblw0xEjOaQaBz6vXx3PfrcGcemhirkWYtpsci0Kqmqbbfr8owFpaPDg3IznG/qigkBFmnu6s9PAzybo9H1Ufcjfn0rmgGY7oVoDOHpiORwPtnOP5kx6K1h2+Bd1tE3rhjUuG46oxXfDCeUPMlYeJ1+OiPS8q3YrURL5eWgI5BMAj3kKhm8SENXUT2/Kq2kbpNxMpiaB9VLlu4oRcRRst5ji98s35uPOjpTj5mZ+c+1L3d0iH5o5l7TAKNT+t1gt07Vtkwg01fj+emrEK5/7nZ1RU15gCqY3v0zK8jsaInSXlWCPxjZ+zdg/GPPIdet4xzTNN86zVu3HnR0tQKgRDUqHkUDWqa2rx1IxVmK8Y5EzGuf/5Ge/N24xz/vNz2HWIjOwSCvR01rBAPmsroaJDXlM8f+5g3bZ3f91sKicuCjkhxg9INRwX7uujZ5E5v/eZL8wJr7IEYN6GwP1SZHAjAfSTTrX3beTPgWWe7oiqdvZhtSLSabeqK4YVrXPM1yVWRDLkwXFT8umuKxr/n3QpqrdNWkoS2jbPxM3H90TL7IzINd1REvrU/OzVyxISCRS6SVQ4WFGNez9dhrfr/ApFLUwimErXN/wWnxMNUYBJTXb+EW2aJteqiMK4HXptkvsfbTF4EgCUGL6rLDSs3R0SUjftPYRHp/+OH1fvxkcLtqLkUCCN1GmD2+CSwzvhgVP7ue6jV2zaW+bo3iETuAHgGSFi9oe/bUFxWZW0nBvO/s/PeG32BlPEeCeqa2vx5s8b8ej033Has7PCbl8zB3cKlhfOROzI7gWBDza3ZPPMNOuddbjTdIesKlJNps3hvTVaxVgI2nWgAjtKnIMXhsvCzfsByGNCiFuURG4nTbf42eIyWpuXh99uZJru8ASfXq0CQc7u/ENvpfJ+iz4e00u+KBlpPm9ZW17W7aofdX/jGanck/G0qCNyn+4IKzDWV/fXPpBa/K0P4kVjPOd4QqGbRIW+//gSL/64Drd8sBh+v1+XQ9kubQuREytN98Y9ZSg+JBeo3nTwuzZeV5U+Z1gEKjtY7k77CQBLtha7tqLIbqIX+o1aV5Xa/jsvpKEc99jM4OcD5dXYXZdiaVSXfNz+h97Ia5ZuOt6O1TsPYtxjM/HBfLMW1A1LthTjiIe+xfAHvrYtl5UhXwQRU7Td+N5CDLjHOzeRLfsOORcSqPX7sWJ7ZPnT3VCjml+2rlzXwmZoVmeiG2m8v2SFhSsN8fmTma+HQyyD71fX1OKw+7/G8AdmRM2NIeRrL9knbPMkernCpUtN9uEobYHGI7T7MJx7zxf8X3ioyuxBk1/jdotBTQTL14HtcgEAIzq3MO1TikgeLBv4mwhaVbELj50xAN/fNNZy4cOJ0wa3wa0n9gymbHNLj6Is9G+bg6bpzsFL3aCSQk9mbu8FT501CM3SU/DKhYd5Wm80SIBHrFFAoZtEnc37DumE7ke+WhnH3tRPVH8LIvnR2LinDEc+/C2G3S8XzNbttk/JZRTW1boiL1Qp8YV2qnvuur2Y6jJXd982ev9qo4Y9ksWO8qqaYPRyFa2/jIemrcDqnQcx6d2FYfcDAP749I8AzJr8RMC1prvGH9P85w9NW4mScmfNvnariBHv7TRKTotYgDtNtzgm2YbFk/ADBMVunMsEQdsqr7UVS7YUK1lfaMMp13SLPt0KgdQcNd3O1y4zLQUPTjRbv9i179Sz0NpLeCnDZPmwnYj2fRILgcDpFP7zl6G4fUIvPHvOENM+N/3Lb5aO7i2boSDL3QKsl8gE0MLsDLTPywwuGFqh3R9GV6nj+hThsiO7hB2z5JmzB+Pjaw5H/7a5YR1vhZVVhUi0FkJOGtAai/5xHMb0cBcbhjRcKHSTqHPS0z/q/A1f+H5tHHtT/zBOaMTURCKXvPorOk3+HNOWOEcNl/FjnT9zRXVtWFHmjVpiFYMGK9m6qtr+YO0e2m+YnL86a71zowLGifH+MvcLB1ZFspukRvwjXiUZIBWf6qqaUOyE+z9bpuzSESsrlEiCcVXX+mNuLdP/LmfNfigfbGib3URvv2GRSubPKvPptgp0JY7JvwzvWD+Aymr7hSwZsYwlITblxvz157V78IenfsSYR751LKtdD5mpqVtNtxvsrDlkbUXSfESabh/wwvlDcdrgNgCANJc+2qrXLSQIeR9IzS2qdec3S8clR3RGi6bWbiEq982FozvhqxuOwtVj3aUaiwbh3OdTLx2OFfce79pqK16ErCriY16eFMXUqV7AGEuxhUI38RzjhHh/WRXu/XRZnHpT/zG+E1dYRJf+evkOAMAVb8x3rPOrpdsx8/ddum2ilvehL1fYHi8T/Iz+0Sov82pJHmsAKHfw6daijItmz4D7eAHG30PjOUQi2xUJwWXC9ZU0Cgc3v78QIx+cYavV21lSjt53TsOkdxei+FAV/v3DOt1+2XWprqnF7f9bjP8t2GLat0nIX+zE/Z8tw7Vv/eZ47SMJxlVd69fFiPCKmlo/Vu88CL/fH1awOO1WFq+1nR9hpsG1wniP3Hx8j6Dwo+unxdjKFmg0Vm4/gL7/+BIPOzzXprZiuLghjvmIKTOw+6A8X/zqnQfw9/cX4YHPlwMIxBgAgH0Kmm5NC+c0D1ZZbHC6x8XLaWcl5PUIR/LO0Y7R7tsbju3uWb9EGto031XKsHqOz+ezdAtzOi4euNN0N/zrZ0UiuHA0Bih0E8+RCVKrdtqn5SHWqEwAVQOPAcDe0kpc9vo8/OWlubpJdYWgCfveIJAbkU38DxhMcFV+vqzMhJ/4epXC0WbcauacI/yGP/kur6qx9F1URZyolFVW491fN2NHSUVQ4JAx7IEZqKrx48PftuDrZTtM+2Vy1HvzNuONORvx8k/rTftOfPIHaTsTnvwBj03/Pfi94y2f4d8/rMPHC7fixvciM4e3o6amNmi27yU3v78I4x6biddmb7D1435t9no8/Y35/tTuPfGWsru9mqTpJ65Gf/qrxnSVRue3EoTt/KAf/GIFKmtq8cy3a6w7JCGWBgXGhZTnvpP3dX9ZFd75dROmLQlY/Lz9yybHurWc2e3qshHIBADXgdQUyqgge3/YvcacXnGhwFHu+6Idoh2r+j5VEWzs2gvWYzmqlAiiQSwXCeIl0KosQoWC24XZRpjHkcYHhW7iOdWxjL7TCFCZ+O4+qO4DKfpei9qxiqrQ57QU+5Vs2cS/zGCSrqItlOWxBhB2Lma3GkqnjEwqsp3VxPSvb/0W9mRUo1vLUK5Z8fq886tc0DBObGTtyq6dXa5qo/ZfY+nWEjw5Q7448sF8s8bcK2r80XnH/LcuWN2jX620FTbu/GgpHvnqd5MFQEjYUbvYotD98TWjkZlmfuZk2l7t+v26fi9e+nFd8JrbLXQckgjk5VU1uOL1eXhPci/V1Pox6Z0FmLtur/OJwF7gV8V4X1otJGZlBHKgH3SRaq4oaLofaMNJAPAiT/eiukjpYdUTwe0dXPwJy6dbr+l2KyipthisV/GAWGjhIhFAg+bJnPokHPlZ6Ti2d0sM72QOgKfhlU93fdQW85aNLfYREwgJAwrd3iKbDJRX1ehMvMKd9IraJdGkO82UckiPTHAzCir/+XEd8rPSbfN1W5kJnzygtW37VmjV1db6cdP7i9CvTTYuGN3JsryTydt/529GemoS7jqpj6Vvlp0JbiQTYCCQQknjI4npt7k9/XeZAKiyYBKsLwqqTquFFlV8iK7Zc0l5tXSxZdbq3RjVNT/43SjIBqPkCttUzcv7t82V3ou5krRi1bV++P1+/On52QCA1rkZOL5vK9t7WRyvsspqZKal4I05GzBt6XZMW7odpw9tpyv/1dLt+OA3tYWT5dtKcMITP+Ds4e0jSolnNI+3usZaUEI7c3ojqk+fzxeYeCsFUnOYrsoWOqT1uL6V1RYMwkoZpv2tO1j1MXvmnMGoqK5Bh7ym7ht10a+I6qiHAlG0iMdYxMu8fGC7XPz7/KEOpcJbZGpIxDp1XmOFmm7iOVZ+uiQ8ZL8DxqBlVtpIGcu2htItVQkm5WKgpXRDAJ1txfpAQDJhWTZBe/CLFbaTYysBLLtJquUxdmhC7rSl2/Hf+Ztx1yehWAI/rd6N6ct2YOeBUB5g48+MNi/Q8hNX1/rx2uwNQX95aZs2t/sv6/cBAPa6jMasIY6PeC5WbN6n177K5jm/rDdrLzdK/LavGds1Kqvg5YaAXn/o38p1HVXCzfalRWDBSJCZl//zS33WBWMR7bsoaNvNMy8/qgvym6XhorpFoYWb9pvKHNNTHvVWfNa03OqqAfK/WbETgP07wy5a+4C61EkaT9WZ2k9ViMZuh1HIfmuu3Jojte7d5EboViWo4VUpbCh06RGdcI0QHKtGcfFZJrxHonWVuTmooh1z8eEd8eYlw3HqoDY4olu+/UEIpMnr0zrHMfK1hnZ2Tl28YFRHzLxpDA5X6ENcCfp01w/ym6Xj5QsOw/PnmiOxR4tEFmh99ez6kfoLNd3Ec6IR5KgxI/utKq+uxdfLduCS135Fy+x0PH7GQNs6KqprcNYLc9C/ba5OgKwSJMb5G/cFPxs13aUV9qbjt/x3kaVvZXlVTXCibMTqXglXk6n166o355u2n/OfnwEAL5w3BMfV5TE2tiITnICASX5NrR9b9x8K+oUG+6owmfh4wRacN6KD5f5dByrw0+rdOKFfEdIF0363z9Iz367WfZdpWs9/aS7WPzhBt80YkA4A/ja+h6u2VTEKIzlhLLCIPt2Xvz4PXQqaYsaNY8Lu0/jHv9d9l5mX+2A/cayVSBJ2QkVBVjrm3jouaEEhXuubjw+MfYrlcxM6//xmAW24qlm7Zolkl47MTuthjLLu1Rqr6r2uvZsiSRtnZdEd9O1UMS83fG/fIhNNBaFTPB+76oxtjeycJ01pZlXeql+q94OIdt27Fmaha2EWAOC5c4dg9po9eH3OBsdYH6pY+dkaz60oJyNq2nON/GbpuPjwTsoLBg2BjNRkjLVY0GuMJDViqTuB10IaJI3nLUNiRjQ0EI0Zme/iocoaPPBFIJjWjpIK3W9FviGVR3lVDd6btxnzN+7H/I37dfvW7y5DYVZgEv2bsE9LH6ZhFIJLyqvQXEidYhfMyG5SbjVxDnfdRjZxv/fTZfigzl8XUDP7NE56k5N8OOmpH7FsWwmeOmsQThLM39s1b4J5G/YZq9ChTWbLq2pw3OPfo3lmKl6+cFgw/cyfnp+FDXvK8PuOLrj5+J7B49wuPhiFJTd5nmOF0RImnGttdGFZs6sUfr/f0oRx8eZiNElLRtfCZtL9K3foMwLIzOqdZBh5yjB97mdj/6xcFv5sMPc2UlsLDOnQHPM27ENOkzTbuoxo979XqWy8CsakaiGlLeDV1KWOG9w+1/Res8Ixt7aLAGKmIj6f7h5RXUQQ23rlwsMizunrj0DTLbslmqWn4NjeLfGuRRyJ+oLVu6EoJwN3/KF3ZHXX/U1kbW68iZd5uQqRBlJrCCTw5WlQ0Ly8npOIL3n6dHvLU5JIyUu3FmPtrlAaGvE26JCn18Re+tqvuON/S6R1n/Gv2diwxzqdjYZxIeUeBVNnDeMEVrxnrczLw80PvPOAOfDUiz+u06UTUrk/ZUL3sm0Bs/zr3v5Nt29UFwXTx7rq/v39WmzcW4aFm4sx+N7pwd0b9gTMu581RGx2q+lOTdH328pM3ykGwCWHW/vBR4pxIcHtO6xZeop0XKwWKHYfrMBJT/+IcY/NVG5jsySvslOkZa15ceFDvI28NAD6duXOYEDE9Xs083K1WZPmOmFckPnPD2vx6Fd1JvQ2Va3bXYozX5iNH1YFtJ7iec1aHV4ARMD6ufx88TZ8sXhb8HuqYEdfVVNraUUjYpzwW52ez4V5uWyxQbz2qrEL/Bafw8XKWkcJu7RK4XXHArWFAcoBJBa4WWwjJBIodNdjLnrlF3Sa/Dlen7Mh3l3RkSjm5et2l+r8l+srr802X993bDTLRuFDZjos8t1KucmgnWA2o84vVAXxh+z+z5Zh9IPfYF9pwMe5ymPzchVaNDMHpzJinAyKk3Zj11TMyzX5Zst+szBnh9txMAogViaT+xx8zL3QgloJ08bxUp3ojOgciD6bkZYstSywspqQCdBOvC555nw+n0MqpzpNt+4SiPeN+rV00gr9tnEfVtelYXzwi0Du7RRFp+68pgFLGOPC0n2fLcdT36x2XIRbsf0A5qzdi/NenAtAf53PrnPhCAfZ78aB8ipc9eZ8XPnmfJRVBix+xHvcuBgoS+Wmit/vTmNpLOKD/r2h+uyK9Vz95nyc+5+fTZHxRb684Ujb+kLBG+1pIsm1HKtgSi6Dl3tKaUU1/v39Wvznh7We1elV9GsSHxpz9PnLjuyMq8d2MaWsJNGBQncCU1ldiz89NwuXv/6rdL8WEMdKixkvEiWQ2thHvsOJT/6AvaXhBbFKZM4a1t5yn9vVWmN+bQ1RQKyotr6mThGuxd3//mEdthaX461fAkGXrLRB0RS6R3XJcyxj1BLZyaAq463V51b5ZLWAZeXz2aVAbz5tdbzYZZnZqNt+yoQUq2to1GiqXurQxEh+QJXFe0csrxqN3cqn246QICEPpOblhO77380Laarmm9q5WbkelFXWuBKGvHpWZbnXDwlR9bWUeXqh269zv/nZIcWZ3/DXiBvhSVZEvAbis2c3np3zm6J7XWrAssoa/Lh6N0orrYPcGd2HrPrldD9I73E7TXcMJGSJxb5nNEsLCBWlFdW4//PleODz5d5VThwZ36clAOf7Nx6EXLrDe5closWpKjcc2x03je8pzZRBvIdLGwnMrDW78WudRkfVjC4R+Ged5sWKVoZAPNFAnFxv3lcW9J1tKBi1FOKPhdMkuHer7KCpNAAcrAuSlt8sXZoXGNBHNgf0Qp+VsBPsm+QHaemWQPtWQmE0zbxSBVWkVTNGU107090Xf1jn2Ob5IzvWfXI3i3SbXivDcF9Y5ToWx/fm9xeZ9quaKofqM287VFWDLMk7y3h/ql5rTUP+9/+a+wsA5ZU1yM4wm9OL9a/YfgC9W2c7tiU7H1WfbrGc3rzchabbYf8uyXOqesW0XohB2sz53dWvv1frYzLzclnVyUk+JCf5UFPrR1VNLVZuD/njWw2xytn44RfyUyuUN42Zvh3xPrerLinJh8w0/VQsktffP/7QG35YW7nY9SlWmmfVhQEvycmsezdEIWYW0y05M6FfK+Rflo4eLbPi3RVLGmOebhJb6ocU1wjZV1qJl39aH/zulBLqYEU1Pl201ZRKKtoUH6rCQ9NW4HchENG3FubKGmH5mrlEFOYSxdzdS/wI/IjJcBK6Uw1mqNrk0ahp+l2YzFYahD9RKHPykZZ1RzNvtupruEJ3/7Y5tvuTfHrTaatb0bhdS/0lQ+ZHrqFpE7V+ZTdxt85pram2GDdDeU07aD7e3EcRN89obV1AKyNizAERYzoq1Us9t06LWW5xTk99s1q6XbTSMN7HVsjG1wef7URde3xEQUKcjCeKMkSm6RYv38s/rTO9I+zw6rSc3tOyW7KyulZ3XKRa91BAJQXzctOx4QVSAwIR2cWMEZHcKxeM7oQLR3dCkzSz+bgO6cJSbKUGp9aiIcxGw5Q4VsOmxWs5tnfL2DToIT6fDyM65+kCsCYKkQYv1+ZAVr9NhGhQ6E5QrnlrPmYK6TlKDlnnTQWAvv/4EtdM/Q3XvvVbtLum44HPluPZ79bgOEPKHY1nzh4c0/5oiBq+1TsOxqUP0cTv96NfnSB32qA2un1OAmulybxXE7r12ye9u1DXnojol+skdGtlRW35PSf3ravX4pgwf7syUuwnmlYpmADg6bMHBaNbG4XOmb+r+7CLGAWcQe2aOx+jIERYjbjRX9ou37KGzJdLlMN7FtlrJqpr/dJ7zkrAfeF7vS+lV1YNMy3SGYmxCWQmzEaSk3xh9Uk7Qh+9XNzv3Sw/EnNG7VjRWkWs791fN7uyqvLKtFJVSH3ky5XWrgsRujZpQqdSV2RCqyAkDjTkM7fj3ctH4vf7TkBhVuxMb6WB4GwDqXknWSbKApTXRPu83r9iFB76U39MPqFXdBtqZPgilLo/XbQVAIJxNgixgkJ3gvLT6j2676oaGjcBrrxg8ZZi2/2Z6WYhKBb+L2LwpJsFc9RvV+zEHf9b4hi9OdFZv6c0JNAl6wM8OWl7jONvVdwutZbYhpN5uSZEivdwm9wmgb5Y/Mqp+t4asTKn1kg1aHW1sfjbcd3xh/6t0b4uB3eS4c1olzfXDu00NO26SjVPzAgFg3JrpWG89u/P2ywtJ94CsnMTNV7GnO1Gav16TXfb5oFrW1VTC7/fj9827tPFDfh00TbD8bbVK9MyWy6wiNoHFWEy2edTMi83vsZkAazExRs35+mkOWsegf+d1m/xuhsXa0Qt+N1/7GNbn/Gec3oGresxv0dkPxVPC7nozZkR7NuQ7Z/QvxXu/mMf9GmdI/h0q2i6JeblwnXro+DGoFp3NJCdYqwyDMpcMWREQ4Osj7PgzTjHyj6gICsdZwxt52zFQFzhxsKFkEig0F1PMEZp3ZcgwcGcJuRe/hi5+YG0EhgvfOUXvD5nA978eaNX3YoLD3y+wjI1jNPkfsV2Q07iuorCnX84C/na31C5rcWHUFPrt9Z0h9kZqwjWGkZNt9EkWBsLk0+3UQp3iVafVe+yBP9LUei20sxaDY9RCNEEYLtyMlNyvbBoP6bVtX7d9UqrG+PaWuCLJdtx6rOzcPLTP1ke75Wme3yfIun2WWtCQcc0AfygjRtOUpK8T0k+n/07SPY8hunT7cQlR3S23W9nHq49rqLQbbRWSRXe66cO1lvSmOvTHzvhyR9ty1vhmENb8mtifPVYLqrY/BCd0LcIfxnVEZ3ym7rK1zv1Z0kAQvGz/DawJZbW3S2zZbFVrDsQk77FYEE+mqdBoa1+wujzJFZQ6K4nGCdFj3/9u03Z2PmVyCZ3nQuaBj/LfMTCea/977ctGHrf15i3wT46rYZxvIxjsqOkPIxeWPPyT+twwctzY6pBn7M2YA2xt7RSN6Zu/Rq1Hxo7ocCuRuOCkJGgUC9sO+bRmbj6zfmOx7jFaWJovF+1dkorqvHL+r1YvLm4rh59OatIzwAwpIOzyXhystyP8KFpgaCDvVrJtWJuc94br70xmrmGWEqm6dYFAHN4ndTU+FEj9FOsTzO7W7s74N8tE1q90jZZXaN+bXKCn7XnftGm/Zb1JFukBnNadwlqui2ELTen6WTK2yTNvjNzJh9juS/k8hCqw3ifiWNpDKJork//XTSxrKn1Y8KTP+Cm9xbCiXBuA5OmO4xfF320ee05da7n6+U7DPUYr71gvu+yT9Gc/L9/xUiM7pqHly88zLQvVkJ/6PxiH3lKfLd7Nc6x9oUn3hL0849zP0jDh0J3PcFoZrpws7VZdyS5Ut2yfo85n+jg9gEh5Nqju3r2k3r9Owuwp7QSl78+T6m8Uch+25DXOlxzYSvu/mQZvlu5C+9J0i9FCy3/9lfL9JM/90K3WSh2g3MgNfn+aUu345VZ6+XHhGlz7DT3+fy6I/Tt1DWzYvsBnP78bOypsyAx3h52easfPWMALj+qMzJS9a9T0Vc6pDnXn9ez362p67i53vKqGpNVghPGa281qRSFCtmZiefr5Cdb49drurVnyw+/TrA7WFEdzO0sYqy+sroWtbV+/LhqN+76eGlwIcvJt1yFv9UJf3Z3V1JdZGzTdoebSztCF0hNN8G3v6evH9fNdr/I2B6FSn2R7pNouo3uS2JXnRbV7M7rg/mbsXRrCd6btxl7LDIjBOuRblOzorH6rtKYTlAOU+P1wKn9MLRjc4ztWYgzhrY11au6sBSLKNhDO7bAm5eMQPeWWZh6yXA8cGq/oLtPrEXHeMiquoUwj+umprR+4sathJBIYMqweoLRHHKbkEPZyFyHXKVeUiHR7Grvrcz0FOmPaiTvNdVjjYsUm/bpFwesojpHyoGKatTU+lFaWS1NXxQtDgl5Xd1qicORb7MFgdJJKNPqd9MtlwreIE6T1sIsvUml9iNrlKmNizJ2wZzzm6Vj8gm98OOq3Vi6NZSKTYyaHRRELc5LrH5oneb80a9WWjdqgarmz2l4xefWLkc7UHf9g6bV+n2iue9N7y3Ej6vN+aXF++eLxdtwpcECYuHm/fjwqtE4b2QH3PbhEst+WJ2TOCTaudg9IylJPrXo1YYiMp9un26/fX0qqXSePWcwju5ZaEoNZ+R7i6ByQOieT7FZWPHrytv3yW7/7oMhNygnlxG5FYTwRfpbYrzf7ZG1Id6zSQ5uIFacPbx98HN9ync7qms+RnUFnqnzk7fT2F44uhO+WLLdk3ZjLduM6pIX/GxeDIlc8qeeu36T5PMhOyPFc2UMIUao6U5Qsgw5Ni999Vfd90QJBKbLRRrUmIpatMheYiu3H8A7v4T8r42aIytTeuMk0qilOlTlTWq13QcrcN6LIcuCh6atxFn/noP+d32FzfvMVgDh8If+8tRgIv/3tegH7Fbo9uv+SjHs+uPA1sHPTv7OwYmui25Fqum+YVx3tXaCJsH6+8P4ff7G/Y51GX+wRbNcJy2puPvI7gUAgO8cUu/JMD4O1ppu+3pEn3ZH8+LakEClj4gNpKWEvltN2L9evjP4HBsFbgD4rW7sjbnpVZGdqt3tVVZZI92f5LNPGSaLsaB9vH1CL7RwSJWjq9vidklO8lkK3OI9ZJejORTcL7StqtpvKBP6vn6PPPWbhp0w3b2l3L3Brl+WSParviYcnj7TJy/878P55YuXb6lfsmBkpEXTwCJy88zIF5ODgdRM2/VEw2w7ErN/J6gnrZ8UZKVj0V3j8dudx8W7K6SBQ6E7Qekr+CECZvO/eOWe/nTRVox5+Fssq9PoSTUidX+NPm4a2yX+1D+s2oUjH/rW5Gs9/v++x9//uzj4XazvijfmYdSD30hzkz/w+Qrdd+MCZlmlN4sW//xiRdDMW0OzNPhowVZP2lCZeFiZIasIr1oRV9GVhYlLp/ymNiXDC4oWbr5dbayuUzTVrRXuVZFwFrztBOuUoMm1+rHh5LM3a7rliBo/WZkknw+/7ziA8qoaJU23dr2SfD7d/ZqiGIBO8/m2I90hHZxqcLlAWev7q6bWLw1AZ7wn9h/SB7MMCi5hygkqj4mdMK1aThN4dCbkRmsVYd/Z/7Z3V7J7VJ0CG1o2arnF2LbRvtxFc3WI1+vxPw/Ei38ZGjS3DgdpjnfFmyJeejZZcL1YYDcsh3VsbpmRILJGQx89W9ygeTIhRAEK3fWUcIWSSLlm6m9Yv6cMf30roJHSm0/q+2RMoSKyv0w/YT3vxbnYuLcMwx+YYdu+OCf4cukO7DxQgW8kadKM+RKNAoxXQvd+m/zpThrCWKCisdEmCp3y7IVn3TEuZrfafN7uGOMkN1xNk9s5o9aO2RLC/bWzm7AmOZmXC4dqriThCG+qPt2i1rVEcg9P+WI5jnv8e/S8Y5rUhUSktjZ0jXWabqil6JL120tkY+Bk1HFktwLTduM9IqYl1I6TlVNFZyFkUcXorvlKdWU3sdZGytw9jJZTxiBhdjgtYIQKOtWj/55r0KjK3h9uA6lpe68a2zW4TbxeR3YvwDG9WiLLA9cgN/78RmIdBVsWBDCaOA3HX0Z2wHtXjMIf+re2LxhpP6ibJh7AQHpEFQrdCYrTj4GT9inaaKl3xJdNcDJX991X958MuxzQGrKJimxybpceR8P4Uiyr9Ma83C6qtVNu9YrqGiVhQ2XCJmq2xNIpyUm466TeDvUH/toFC7M6RoVavx+b95Vh4D3TLcsYxyHs6OUuyj79zapgzmijQvaAzWLKcb1bSrcb04zJsHquxefk7bkBd4pwfshNQrekvXG9WiKvWUiDVCpZgBKrcbqPq2trQ+blPv0Tn5oSu8mIilZfoyDLWoPm9/ul4+YzRDU3peqTmE3EUvEl9qZP62yM7yO/T2XPljGfu1V+dxl25+gU70FXj+G7ccFGZfHEelFLf63+NKRt8LPXyt1Irnm8Ju9Bl4MYtZ+WkoR2LZqgdQQWBQCCQevc4IvC8ykPk0kIIXoodNdT/jy0XVzb1yayTdNDJp8hs8XQqrnVb3hFVa1jrnGj2TYQCswjRtRVMWFN8um1325TMVlhp92003SXV9Vg4N3Tcfz/fe9JP04aEPL73nWgAjsPhMz0zxnRwfbYUJ5u6zExCiFuFJN+PzDNIQBPjd+PMw8L3dORmperIC5cGY+zyz/f3SLglYoltcokTxOCl28rsSxjtdBk0vxJ/WDdja2TifCaXaXB63VAcPXw+/1IV9R0O3WptlYuCOvrkO+XbbULRGbM5a5hfNSt/FFlgovKfemlgO7z+fCv84biGkGjG2pI9wcATO/ic4bbvzNEZM9K8aEqfLdyJz78bYuu2ds+XIz7P1uGvYb2/vfbFrzw/Vp9NyWW40aNvKo7hR3RkjMjqTdePt12QreXfereMgs/3Hw0PrxqdNTasII6SUJIvKDQnaA4/fgYTe9Uuf1/izHli+VhHSuide8kwfxLFi/L6gduzCPfYdC9001R2Qe0yw1+torA+/CXK9Dtti+C31MUNN1b9h3CuMdmhvrl0S+vnabbToOyeEsxDlXVYJXBDF6GyjzEOFkadn/ITN/JxNdOvrUWxF2Yl/v9aJmdYV+m1o8HJ/bHI6cPAOAuevnYHiFTYDeXVZywG4+zC15ndV2tFmDEwEPWoxnaoxIwzCoyvspihapfsCqPfLkSL3y/JvhdvBXtFi/cUOP3h70QI7+Fresa2qG5PE+3Kdiefn9IW+iufxridQmnimN6BTTbouuA7D1nFFQHtstFi6Z6zb/RX90O2f1aWlGNB79YoQsGWF3rx9S5G/HvH9aZ+vDST+uwwJQ73W96/xwo1/9e1PoDvr+R4HWaLtmd5VaYjLXGNORm41w2Ftp4r9oYV/dMXHJEJ2ndnmm6g/ndvamPENIwYcqweoqbd/umvWUY/3/foyArHRvq8mrfdFwPS42OUvt1HRAn1dqkWNvnMwRVkrF210H0b5sb/N5EyHVsJcQ88+0a3XcVTfd7Lswl3WAXudtO0+31j7Od8O+EnYZ7/sZ9GNKhheQY9fpr/X7HAD1aYEDtlnTjAxnuUIoynMlU2K5Si3vaSkuk4tspbr5tQi+bxuvKW2w3Bq2TtXfric71u2HljgPyYGWwX/BJT0kKWhs4abFrav2O1hJWyAOpWZe3emV1yMvU9dN4vWURoN3cmx0dAhI6cdaw9miVk6F7n8pOJbg4KlgkGS/TB/O3QJUmaWpR4zyc5AAAWaBJREFU5feVVsLvD7TX3JBWa9Hm4uDnvKZp2FNXVt9vP9IMHa2oqsF/zj8Mt/5vMT5btM3xvSHbHTVNtxgVXbENt30xjke41Aq/2Q2JF84bgp0HKlCUE1r01T+f3vwQN7BhI4REibhqujt27BgUzLR/Dz74oO0x5eXluPrqq5GXl4dmzZph4sSJ2LFDPehLfUH2Ei81mG7aIe6f9O4ClFXWBAVuQB/9/LHpv+P2/y12Vaf2YyVOqjWTb62UVfRyO8LROoQTcVU1wJMTdk2/OnsDXp+9XrrPVWAdhaJu/LGNhMzLzfv2lcp9m90K3U690/xhNUHGjVYz3BhcojBmHL5wtKrh+kOWV9VgX1lonI/vUxRWPYA5Wr3xOt0wrrtuAuoVY0RrA2EY7J5NsWsv/7QeL/64zrJsVU0tvlwantAt9QV2KC8Xzuw13bKUYcGyDn20Q6ZJ3rL/kGlbcpIPx/RqqfdXl/TFFPASkfnyZloI3cbx2lcXPNPv198XP6zaJT3OeAn8AHIMFl7/W7AFOZmpOGVgGwDW7wK7s+vgIoCkCl4sqMY6CrYbTXd9IinJZ3rfJfl8KMxKR6FNXIfwoaqbEGJN3M3L77nnHmzbti34769//att+RtuuAGffPIJ3nvvPcycORNbt27FaaedFqPexg7Zb+67v24KfnaSCcqF6Ms7D1SY9v++I5BiqqbWjydnrMIbczY6pu257PV5wc+acPzEjFB+aE2zq/Pptu+mCd08LYIJwOD2ubb7vUqN4vQTe8dHS8M6zi2RmAz7g3/Nvao2WC/ApqwVMt98I5qWT7suboReq/RX95/aF31aZ9scGPpo1nRbt5+RKn9thntPvfTTuqD/9p1/6I3mDvmcAetJuTHmWfeiLF2u5GhpZMTLtWRL4Fwen/57cNupg9qYDxKOeX/eZtz76TLL+q1yZ+uqs9jv1tzXuh79jimGtITBe0YY4yRf4L5wvfgoHNA617xIslFYQLWtR7LNGPDS2J4Mq3sesHZ1OFCuX7D70EJ7bnQj0h4jv98f/J2y4rCOASscbQ3VTbyCT/96OF69aJhjysNwEYfULnCf1TGx5LYTe+Gek/voAizGA9XflW6FgXfaKbL3igNN0pIx97ZxmHvbOGSmeWPs2cDWKgghUSLu5uVZWVkoKlLT7BQXF+PFF1/E1KlTcfTRRwMAXn75ZfTq1Qtz5szBiBEjotnVuCMKIk5zizlr92Bsz0IA8h+E/WVVWLvrIN6Ys1Fav4zpy0IWBT6fWasWMhWFrpwdxvPYtC80mZRpvUWTVA1Zv+dv3G/bblpyEpZvK8GB8moM62Q2n1ZFJQ+29DjDiS/avB/Xv7MAt57QC+MM0bFVJiKRaKpkKYQ0rO4JN6e9YtsB9CySBx/75JrD8a/v1+Dm8T0BhCKAu5k8i0VFYfSc4R1wzvAO6HjLZ9LjdG2Y/HOt27faZcwxL6va6bQKLfLSZqQm6RbSZNVUVNdg9to9um25TVIxpkchft/hHDsgEmT3yaLNxZjQL+Abr+JbbMc/v1jhXMgC2QKF3TNlF7JNrMoYmVvbJT6LT5w5CE+cOUi1qxb9MdO5QC8ovjZ7PSYOboumhsU3+WvBoOn2+Rw1nNkZqSivMi/eAmaXBg1jSrVlNoEBRZKC74BAUEgNWTOai5SqhYx4Zfu2yVHqj1u0NsQhHdOj0GUdseXMYe1j3GJkfPLXw7GtuDxqCybhQp/uxgkXXYgqcdd0P/jgg8jLy8OgQYPw8MMPo7raOpXTvHnzUFVVhXHjxgW39ezZE+3bt8fs2bNj0d2EwWnCKgZa23PQHBQnMy0ZRz86Ey/9FDLpdCO4BTRPcqFbmzGo1vbRgpAGZNNes9mkyMgueaZt78/bpPteUm6d7kmj1u/HCU/8gDP+NRvv/brJsbxdPeHwo0H7+8enf8LaXaW45LVfw+6LjIrqGlPEXyN252CV8seddbwfVndD3zbZePrswWiflwkgpHFzpekWpqhurkbYPt0WqORlN4pzmlCqYeVeoeJ2sedgpSniuR+x0Z5Z3UPaOMrSqR3dU10Q+ULBn9tKVFZJNWXcJ7UkMGzKNfglB3Md2/ZSDaeFmsKsdPRqFbLiuPOjpaYgY4D8na5dk6N7FmLxXcfhtYuGRbZoF2GOdeP5aRYjfr9fv6Amub7aM+dkIRMPDbLYpmrzbt2rGmue6YzU5IQSuBuaLzwhJDrEVdN97bXXYvDgwWjRogVmzZqFyZMnY9u2bXjsscek5bdv3460tDTk5ubqtrds2RLbt1tPyioqKlBREVoxLylRW3FPNNy82EVT1wMV5smYLCiRG0Gn+FCVSTCpNARFUu3vdW8vUG63VHIuM1bs1H0vq3DOAV4phMe+6f1FOD3MFGzhzjfFYEdOqAi4VkN99Zvz8fXynfKdwQZ0f3TI7olrj+mG3q1szLaN1dv0/+OFW3HywJCJoHbfuhlXNxYgVscZNX3hCBIqRziZ6Vtdx475TXUCtZvzjEXuXWuLCM1XVN+HM4a2DZiyLlOLx+Em37NVH0TCWSszHmK03miWnoJWORlhZ5awbFfSWZ/Ph9cvHoZ3f92Eh6atrOufuZzM+kIbj9TkJKQmJ2HDnlLM27DPtg+PnTEQ5774s3SfzC3pro/NbjWqC5RZGSk4eWBrS19xkYrqwLteSwG5Yru9OXoscBtDQLWOeJOAXUoYrh7bFeVVNbrMAYQQYsRzTfctt9xiCo5m/LdiRcBUcNKkSRgzZgz69++PK664Ao8++iieeuopnYDsBVOmTEFOTk7wX7t28c1x7QVOgVaqjM6dBv4jCVrkNniUcZKnTYxD0cuBSPQ+MlnhoESgHtKhuW48rHIYi1QpaCVVCHciMtQmzc38jfswd91elFVaW30YUUkzZUWt34/aWr8uj7mGMSL9gHa5mHRsdxzfVz3YV63fWpj8abVe4x+Ob+ag9uGlDDpUGbqXnHy6/3p0KN+x1bNn1WexanNEZkNZi75OOa2f4TiZIGY+zu+PTXAkq3MP5v81/NJ0zG/q6ho75QoPtGWxXbKtdW4GHprY37K8Ss+M78vzR3bE7MnH4LYJvRWOVseqL/nN0nHVmK627ztZnAHjOE39eaPJLcHI4d3y8ft9J5i2v/vrJmlAqq8kiymq16cgKx1PnDkIU07rb18QoYXeUhfvylgRjvYzdIjasxEP4Zw6XTMXH94JV4/tGnefeEJIYuO50H3jjTdi+fLltv86d+4sPXb48OGorq7G+vXrpfuLiopQWVmJ/fv367bv2LHD1i988uTJKC4uDv7btCl8c+JY4fRb6iQfG/2eVXAtdFsIEJJ4QtZ1SLZt2lsGv0XEa5mw8d3KXTj8n98GA/f8vG6vY7tOixKqhBtlVm8+qq/jstfm4Yx/zcbGvWV1+53r61LQTLq9+JCaqf3DX62U7jPeE+FNuKyjl5dV6hdRwolePqBtyDfTzdXoJPjFGifIdreH1fVQ0Y4bS5iEbouBKnLIc26HuKAQrQmz1fXSxtE4vmnJSZ4LDFbVydrJzUzDGYfJF1/nrtuLnRINsfE5HdU1320XbRHrt1uoMWJnkixakXStCz5l6RbkgCzn+s3vL5KatcuwOg1TNHWfD2/P3Yjut3+BWz5YbHu8dt8pm2XHUEgN51lr7ALtZUd2waxbjsYN47rHuyuEqNPYH1yijOfm5QUFBSgoKHAuKGHBggVISkpCYaHc12/IkCFITU3FjBkzMHHiRADAypUrsXHjRowcOdKy3vT0dKSn1/8VSDf5JVU0Q0a27D+EfoIA44RxsmRqMUyz1iMe+lanWRSxmtxv2X8IHy3YinNHdMC/vl9r2t8pvynWCWaQvwrmlJEEUgt3DqfP3Rx28478st7ebBQILOA8990a6b5WuU0i7oPfD8uJuVHoDid6eZYQPfmW43vali0prwpGW77iqC74ZsVOzF2316QN7t06Gz2LsoLmqnrfUjnVYZmkG4+RPzPGXMiyliz9wcV7zU3nXGC1SKG9I4w+3SlJvpilRRLfU05ZDTRKK80WNcbunhZG5GQ7xOrFhRJViwC7Yu1bZKIoOwOrdx40lauMcAFStX9HdMuXWtPIrD1q/H6lGAmXHBFYwHey5ggnFWW4pKUkoVl6inSRQpVENC+PBTlNUpHTxFv3DEKiTiN9Xol74hZIbfbs2fi///s/LFy4EGvXrsWbb76JG264Aeeeey6aNw+Yi27ZsgU9e/bE3LlzAQA5OTm4+OKLMWnSJHz77beYN28eLrzwQowcObLBRy434jS/D8d8+v++/t25kE0fgvmeheit4bqTPvXNal20Zg2rSLkQ2upSYA6wYjfBT4skZ3eYL1v9AopTE9F9o9uNTbP05Lo+hE+t3481u+TRs3MNEyxN2HAz6RzVJQ9nDWuHf5zUWxpoT2S+wXc1aP4s3Kj3ntIXpw1q49o/1FrTLS6wGBaq/MDSrSFfbavnxeg+cKC8Wmlhwg9/TMzLJw4JCKBGoTY0vvry547ogEuPlFs8hYvKPWNM3ZTfTO6DaTVm0RSGLM2vndq0vb5172Jf6N4yvk+chNvRXe2fKdUx6dAiECzR6AtvvI+Xbi2RCsl27SRSHKtbT+yFJXePx1+P7hbcphxILZFOhBBCiKfELZBaeno63n77bdx1112oqKhAp06dcMMNN2DSpEnBMlVVVVi5ciXKykJppB5//HEkJSVh4sSJqKiowPjx4/Hss8/G4xSii2SC4cbksLKmNigE/KF/K3y6aJtjk241HjIBQvyrMn+wE/iWbSuWlLeuS5uoZUlyVtvJJz+u3o3aWj+SwpBOwo1err+WVv6w6vXJiqoGA7Nrx1hFOHPCWr+10H7qYL22MGhe7uLkfT6f2f9TkfNHdsT4PkXIqBNqe7TMwnkjOpjK6SKkW3StKgzzcgD4THg2rYZXNu4LNu3DkA4tbMsE6vTevLx7y2a6NGS9irLxy23j0DwzFV1v+yK4XbuOojCRkuRDSnISCrPMJvMd8zKxXjEHtSp275hLj+iMKZJ0ZLLgcyabBM/lI7l5ufujhW2Cq492DYwx6ZzMy50eRdV3oPZ4GAOkGY/ffbBCHp/AdulPbcASXSF10eGdUFxWidaKFkaJfj6EEEJCxE3oHjx4MObMmWNbpmPHjqYJU0ZGBp555hk888wz0exeQrJ4iyiE2v/cVlTX4MQnf0B6ajIO66AWaGqIy4BUZhnDL/xfnTa5TbBlvzlVWIYkOFi2jelZSJMTYnD7XMzfuD/oH21FeXUNMtPcPw5O881hHeWm66IgZKxi98FAIMF9ZZVKbVhxqWL6MbtJc6TpgIDA+Rnb6NEyCyt3HDBptILRyz1oV4WTBrQGEErhJk72j+iWjx8Mqd0A68m/kkm83/ZrWJquXQcqsHrnwWAkZ2MDYpXhLCzJ+OqGo3T5z2v9fpMWGQCe+TbgtrBo8/7gNrtTjETgll2X8qoa3XvKeKtfYiF0a9fhsI7NMaRDCzw/c03UTX7F+n021hHhol1647NYKbtvBDrk2admUu2eVSR7WZRyt3ep02MTbwWy6hWULfglCo3V5J0QR2igQhSJe55uos4H80P5rJ0y6GzdX44V2w9g4ab9ypFd35u32dUEz1HTLTESlKWaSrGIvquZI4pk2kTplk0qSxSD/LgNIqfhZPrdMd98DgB0L2mrIV+0ubiuDXtuGNddet2MqdSssDt1L+ZZsr6F0srpt2uW/m403a764qLs3wX/cL+N4KahkiPYeL+oRi+Xbf9t434AwI+rd+Gsf8/BgxLhMVY4PT6HBFeRWPrXbtxbhsemW7vNJCf5pO4l2rvEB5/O1Dyarh5izeI94zS2dqOpHerz+UKuG4YyTublZw0LBZyTRkN3GWnb+MyfaMhVLysjHi8jFmnxEpFYxUUQaaRDTQghEUOhu57iNNFZvDmkFXeT4vb1ORuUyxong37DJ5/P2STTD/lETla/E+/9utl0nCxwj4xwhW6nw6z22wlibjl/ZGTakZm/77LcF/TTj3RyZzUOxu+aCWwCqFXEibzYG6ueVSu4Z5hPS7/B0kRcsiO9LlCTJsRaDZl4ZLQmzE73sF+vxo1OHyRdUMlSILvXVIRLrxcPrIZIXaiVLG6J5uUW5ezciiYObov+bXOD35tLcpCrvjq1cdbG7ao35+Gkp37EEp0FF3RlRCI3LieEEELiB4XueorTRGfa0u3Bz27SY70gifxthbOmG6hWiKKeniLXXrvVdmoRycMREMMVuqdL8tGKbLQwl9VNqi2aNo6nkYf/1B9PnDkQTSU+7E7MuuVopXJ9WuXovoczufX7zRPm4DkZKvQZ93uMLBWUFaIwptKfdhLLDCdUU4bJ0J4bqwBZgW16xvaQZ4aIlN+3qy1uAeELSBMkGlEnVN4/xhIfXjUqFEHZFx/Nnj56uX1Z1f6FFrT026uqrRs41RSh3dxYYVY6OuQ53/tau1p/V24/gMVbiuXWSFJNt3U/UxUjhcdyLU+8LlwUIKThEkvrLVK/odCdoDhpN7Sc1CqoBHjSMKZwsuK8ER3Mmu5g9PIAPsmEVTbpsUqtEq52NZzDwhW6nSixuE5Gc8gpp/UDAHQrlOfbljGhfyucPLAN0lKSXOvKVQL1+HxAjkSz5ZZav9+8QKO1Yfix0gQDLyfHhYKv8Xcr5Vp92fNmqW232N7V4trZRao3WYJIfryTk+Q/6ZpbhuqYDe/UAr0k7h1OPH/uELxy4WHB77dP6AUA+OW2ccFtK7aXmI4T0Wlxw5yfPHL6ANfHVDuY+dTW+k3P/qD2zZGSZH4nRd2n2yKQmmq7snJ+YQVUU94by9n91phzaJvLPPSn/ph501jH/gU13XV1aO9AY/yGy47s7HoKO7pLHkZ1ycMFozq6PJIQQgiJDRS66yl/HNDGMpe1ETfC68EKNR/orIwUS0FK2+6DL6KJquzYXAUhMBzT5Gj5EFv1RZy8Lti0Hy2zA4KhGFQoVEZeh0wwiBaf1EXYnr9xP2at2Y3vVqr5iwOa0K3f5jdMwDWisV78+sXDdX1RxWodxqoGlSBoVuMQqiT0MaVOSnr5gsOkwo4mtASFKYv2tGM7S1LpAXAUVI7vW4QxgoZcWySTBU6zQhTswvW/NeYqN7UhubbpKcm6FFUmf2YHK6CAWbYY1Myxm2Ejrg/o76XIGw1EL69rx8VJGN+LsiunquURfxcg9Eds47EzBuDWE3tJnyW7bqckJ2HqpSNw1x/7KPXFC9ooRhiPJvF3wiGERDutK2k4UOiup0zo3wo3HtdDqaybiaJTUB0Rs6a77q+2wecs8Pv91oKW7NBnzh7s2K9E0nRbBtcSznr3wYrgd9Vu9G+bY2khEA3KhMWYs//9My565Rfbazuycyi3r9S8vO6v2adbO8a769GmeWhy7KZanXm5cAZ9WufIiiuJHqZAajZ15GYGckhbCbdGjaHKsyYjr6k8V7WbepwEaXF/LA3x+rbJwbTrjwxakhixErqttM4iXpudWy0oOt2zdkKveKhVIDU7jFpo2TmrjoN2HtpaoUzTrbnKqFSZHsP3HyGEEBIp/NVqoBzRLT/42a3mV0Xg8UMmQAS+Z2WkokXTNKRLzJ5lNVtN2mSrhyoTvHDk52gJ3ZbBrYwaXju/XIWuuZVRSxUsGpzyd9tpCfWB4iR1WY1LFEQyNzpDUcMmew6GdmiO4/sWSY+1ysZlZyps9uk29zbgpmGuXDMV9+lKy9qPvpgrCzwmaphj0Ydw1mmqLBYZZZG2ox0punVuEzx4Wj/TwmLv1oHrfM/J7rW4ofPwKS/OiHj5Wgz6dAc13YG/oqbbjRVEeLnMvTuheEQOjyfU5hEihz7dRBUK3QnKk2cNwiWHd9Kla3FDbZgTGQD457SVim0YNtR9f+qsQZh/x7E4eWCbiMwxZRM+lcn7f+dvdt1WtIRulQUPv1/U+liXO7xrvvVOCQPa5Vrue2XWeld1yThk4/9vlB2NJsxBTbfF9fTyaqgITrLNultCoUNK5uWS761zMkJ1SPpk/EG/9uiuePuyEejeMkvfrlC5JvBGY6IsN3WXlQttFLNyJVJ6J2fzcp9uUSPaYseZw9pjQn99wDhtHJumuQ+YqK8o8MeovbbD+F6UTS5VL6fZp1trI1RGu0/cpgxzIhaLPqY2Y95irGi4Z0YIIdGEQneC0iqnCW7/Q29MOlbNhNyIKLzlNXNnPvr8zDWOZfx+/eQtNzNVKuQ5T/r9rszLo0X0hG75duMcMCh0S3NaBwhGVJYiachmAFV99zXE/s6efDQW3nkcsjPk/bn35D66yfnlR3VGe0N0Y0ufbotgT5EQrk+ueH+HFgls2lGyLzdYh/j9aJYREqaMFgKyetvnNcUIwXxfInOrNG1qJxJEoWZg3XtgeKcWwW06QTtKc/ZwzsMqcrdua5wXCayeFQ27Z0Z7//oQpnm5TSC1ty4dgbcvG4FUxdgSofPQ+3SLbRj9vXXHRzllm1sSQe/byJTthBBSr4lw6ZxEG6sc1k7MXrsn+DlaOY/FarsXZslTV5nMadX7Mr5PS8z8fRd2H6wIs4fqxDyQmilqd+CvbTdszJRl2BVJjkCQaJVjHUCoaVoyzhvZEV/VpVKbfEJPHNOrpancVWO7ouRQFdo1l6ca8lJDKxNkVRDviXYtMnHO8Pa2qZGshAA3woF+gSAkMIkYNZV2ZsPRcE2QIQrVPVpmYcGm/cgXFvsSRTdmPNfKGvtsDeFEEY8WYT2ygpl8UlDINRSxdSMxCrohDuvYHCnJ6uv2IfPyADKfbu0cvRaoj+vdEv3aZKNldoZzYUXifT8QQgipX1DoTnAiEY40ojE58Nf951zOGSvTv/TUZOQ3S4uJ0L2tuBw9i9ynU+qQl4kNFrm4ATWfbj9EbaVMcAps89IsN9zFHCeMEaatgoCdMVTuNhENTbeI0wKUzLwbAPq0zsZ5IzrYHqsypCbzcpNPt7ms8bJXG6Smge1y8fIFh6Gm1o9LXvvVpu3oSQniuWtjnCRsFJ/xaAngdpfWqs0KS59uUftatw1+pKck4dlzAj7XqS4ETi+wXtQJ4HR9g+XcRC83BVIL9cGtcVBWRgq6t2wWDGwo8+nW3kt25uX3ntIXd/xvCZ4+e5By2zcc291dZwkhRJEE8pgiCQ6F7gTHi6xQxsnRwHa5WLBpv6f1Wk34nOZ3dvtjGaimpia8tpzetdbRy/WEzMvDa0ueo9e6vHuh2135EZ3zkJuZhrYWmmzrVtybwFqxZtdBzF6zRyf4uzGxdmshorIo4pQjWS706+s15p4uyErH2J6F2FdaKW3TqVtuhXFZdT6d0B34K45HsoUAHm+qHJ77QBC70PfU5CSc2K+V9QFRIKK0i3V/fRADqakfb/cMuL1vjutThMuP6hL8PuXUfiirrMbW4nK8/NP6YD8BoEdRFq49phs27CnFRwu21rUX4LwRHfDnoe1imr1BBgOLEUIIcQOF7gTHjXbz5IGtsftgBX5avcewRz856N6yWeRCt18xSJihbZmwZ3WGizYXSyeIAe23XMAAgAdO7YdbP1zs2DeR0kp3Ps4AsL+sEusNWu4WTdOwVxB+rPN0682IVXy6xaFTmfAt3lJsuW9PlK0Hrh6rlkPeiJea7nkb9uH2/y3RBaBz58/qrj2t78M6tcDcdXtN2wHzQpLxPDMESwErX95qhQWiR04fgMqaWnQpaIYlW63vAwDolC/P3+0GWdR38X4VP0dL5g5HCOpa2Az/vXIkJj4327n+OMlYQb/sMMZNjMLus3nHyHjizIEY3L655f4pn69AeVUNrhvXzdblJNQXfbtaVPaZv+8KbtPOsWdRNnoWZcPv9weFbpF4C9xA4zMvb2znSwghXhP/Xy5iixuNZHKSD7lNzEHTNMXY4V3zMfWS4ZZ+tG4RJ1GWGkTD9jv+0NtUxmoyaZWHtUOevZCgpUtzk8fVbWAxAFKz966FzXTfLQOpGb4nKQibdhpClflQR8Ef+culOxSOiD2hU4x8hqf5iorPkJP1hF5j61IDHLLztcTJvFwUckJaSj2W1hNCwZ5FWRjcvrku+J7V6ZzUvzVuGt8DUy8dbt1xB5J1Zsdmd4h4m5db0Sw9BUM6tEC7FnqhUYwc76X1RTg45ulW1GCHApc5t9kmtwlOHtgG7VpY/1b8d/5mvP3LJt0iYzjITPmD330+ZNXFCqlvKboSyaLDSxroaRFCSNShpjvBMWq6/X6/5Y+5Dz7pD+LxfYtwZPcCtGvRBP3b5mLehn2u+2HS0MF9MK8juuWjbXOzRsTKVzGnSapUe6Xq565SLCXJh+pav6s0OhrpKXr/5UdPH4B3ft2k22at6ZZ/l2q6/foyXiAKooPb52L+xv225Y1t/7J+L65/ewG6tWyGVy4c5lm/vAygpPmKpuiEbvXjVRaV9ERuXm7YGajVMPgqQf/EEk5jmpTkC9syIVRH6HONpN96rbfaNe7eshl+33Ewon6Zcb+QEm8ho1erbFTX+pHfTB4fwQ7x/gou7CmMgVOkdF0bikNqVczx8GC/E4tE6w8hhJDEhpruBMeo6TZOcG4+PpRSLMknX13vXNAUE/q3Qv+2uQDCm0QaZdKs9BRkpAqmsBbH6bQYkobtJi5WOXSttP8r7j1e910mbEww+GNqwZ7CmUCJJo6f/vVwTBzS1lRGxbxc/G4fDCp0TKf8ZtYFLRADcIlj+K/zhurKnTuiPQDgmbMHW9ZVXlWDLfsPYXtxuW67V8ooL+rRTlen6baMPWDebpczXcbZw9rjmbMH4/i+RbrtOj9tF/W51nQ7CNcqbV8/rhtGd80Lpv2SNxRqZ2yPAmRlpOgi1Gv3fLJoUi70LXrm5da4bVMe0NBdHV5xxx96493LR2K04CYhomBgAQCWPt1uTkuW+S3idIv6FSJzm5HVHjXqmeKdEEJInKGmO8Exypc1fj+ShGmIaCp+xmHt8PrsDZI65AKeG0Sh5MR+RfjrMd3UjtP1w91EpWlairS8ldCtLQLYaYZTkg1jod4dEzLzdVUBScTvV8vTLZ7P3X/sY6rDCXHcrPxtAeDsYR1wxx966zT5JrPPMEauSWoyDlWppWjyYj6rWS+I19yNIO02jVy/tjno1zYH3ws+qk6oBBI03sdZGc6vbbFeN4/79eMCUZ7PeN7ZxxkAXrrgMFTX+nWRvNu3yET/tjnIt4hcH63I+ZGgFvm8/klZoXdhyApKxarHUtOtWzyx9xHPzkhBSXnIbcc6iKHauNZnITfe1hKEEELiDzXdCY7JtNSUwiX0uUNepjRtkZ1fnipiszKBy9LfTnecBRY7UpJ9uunYQ3/qDyAQrMwOu0lciiEcfDgRfTVETXdVnVbeOLlSrTclyYfMtGSd9UCoDn1gqi4FTR3HQIbYNZ2PrWlRxmw6b6rLwgfdbnJ53yl9HcsEtXYezLC1Z8VNMEK7oGdeIHPTsCyr9aluVB7+U39M6NcKfz5Mnm4tHipBn89nSp319+N74uNrDscf+reWHmN8BkWyhQUF18Pv4fUKd9Ei0RCtJYLWNB7VHcr7HVmNTgthofdToknd6v2pzwsGhBB76vFPBIkx1HTXM6pqaqWCGaD5dEfn8Q83PYrTccbJyLheLfH18kCQr+oav05I0XI73z6hFz5eaI5oa0Q2EumpRqFb64f780tLFoVu+fGqEd77tsnBsnsC5vEdb/lMWs5Lf2e74EUqhKbB6uPWt00OACDPZsEgJzMV5wxvj6bpkb+aRnXNw32n9EWHvEx8umgbAHf9tXrOnDC2YPtM2mq6teMDf08f2g6nW+Q3N1ebOObRRlKTrccjr1m6TjuqcowXWPswhxcPIKYovsP+NKQtDuvYHL1aZYfflGherpDmUI+Fa4dYv+Rt5GVGAy9JtP4QQghJbCh01zOc0gWpTE0jST1juV/huCSfT1qPVXdqauUiUmF2Bj66ejROfuYn2zZlwo5xS1IE2p8UQeiu1jTdhhYi1QKJaApCWY1e5oyV3R+mbWFMhLWxsBNCC7MycP+p/dQrtUFLO6Tvg7ysbPOYHoXokJeJDYa0cJHgJpCa6/zZOi29sN1VLQrthHncdcd0wxMzVqF7yyzLMqLguGpnKIjaYR1bONavMlqqWRb0mu7wrWHijeiiMLh9c9sUYCJWC3y6iPR1f61caEZ1yUezjBS8P2+zUh+t+5KYON0OidrvcKmP9z8hsYCPBlGF5uX1gEnHdg9+rjaalxsCFKlousPRmOp+cF1EsDWaaToJEmL3jecqMqBdLu49uY90n1UAKrv2ojWhUNECqbftocOzWKthoFTuD6s0SnbnEhS63XTOa8IeO28GvaMhJ7a9T3fgr+oimVMxLxdm3OLzhdxCUuOQYzlcK5H6IDjZGV/L4kF41q6Dj/jornnIznBOWad6VybaxPb2Cb0AABeN7hTnnsSW+vBMEEJIIkJNdz1ADJxUbXCAEyfSPgBdCptieKcW+HndXk/7EL55uYiFpttCQ1dTW6s805L64soWBwzfI4leDgAXH94Jv+84gOGd8wCYr49K0CJHK4K6/Uk2MrfbRQM7k06VCXo4/pyh84jftM1x0SfKU8pje7fUfVcZvUhdRhLBJ1l3mwifLz68E178cZ1slw7NNUG5jQiZOKRtMBvBM9+uDtSfcGJf9FC5Z7RXm9UrTvW+1We4sK4n0TStpw1uiyO6FSC/mXN8jUR4Bgkh0YGPN1GFmu56gDjZsDMv9/l8uGpMVzxtk+opUM59H8Tc3m4OV/GVthJ0qi3My0MHRv6qCwVSC29Gd8cfeuP1i4cHIzIbzTe9NC8PaeVjP/s0C+byFQC7S6KNRTyDV0ea3chr7K6l265GK56DV8i6N75PkXmjwEN/6o8bxnXH9eOcsyVEIhTbBvdLUJ9iI9L+BdcfrU/QzfukW2EoVeHe0koA1lH+VRfXnJpP5Lu6ICs94Z87QgghiQGF7npGlSF3tcx3c09phW0dTlOEjnnmaOdLtpTYHqMybUvyycvpg/OEPjsF/PFZfLYzLzdO8LwWAK8f1x2TT+gZ/K5kXu64XxNWvYs+bHQXGNaphfjVkXBSe2lj4cUkNdzrphJl30vevmwEnjp7kHV/7A62NthwZE+dQKTemDpeyhjDOrXAo6cPCH43Xp5+bXJw3bhuyEyLrlGWfcqwxBaqYin0pQvBBdvkNgFgvbBofEathlh1Iaw+Wxp4vWDTv23A8mNcr5YOJQkhhCQKFLrrAeLvtZ2fszb3qqy2z8HiNEeTtVGrMwFUd+rWyXY+s9Bj/h76PKJznq0WRjS7F7tsF0jNZPDu8YS1SVoyLj+qi6d1agR9NyVDEumcbkDbkPmuypCE+qLecl7TNJw1rB3+MKCVy96Zee+KkehZlIW3Lxvh6jjH4Ecm/3b3tBdS9I3onGcbvMrWpxuhIFgqiMVW7TggbPf2HjfWV15VgyVbiu2PsenCxCFtkVUXrd4oWBnTkYl0rvOPb9ciIPyp3IqRPCf1UeRzew9pOBW//KjOQbNqKxeapCSfkqB8RPd823bri6WBkWiuhbx8wWG49+Q+ePSMAc6FCSFRhcYuRBX6dNcznKKXA2ZtuFtk0WidUkxZ9Up/nPnISOZR1uaLoYnm+SM74LXZGwAEgq+Z69D6GUFHJGRnpKCkvBoXju7oWNZJcD2xXyv0aZ0TzLcersbn0iM747YPl+C43i2xUhTKTMNoHleTMGqh6bY7lXYtMjHltP7K/bVjSIcWmHb9ka6Pi4V5eaf8pnj5wsNsU6Np2HUnFJrA/S96NLSfF4zqiB9W7cIpg0L5t0srqjHonumorKnFb3cci+ZK56x+EewsGjSta4ZDTnkAEdko158Jley9Hfjr5hR6FmXhxH7yhTHtXVWUneGYMsz4frZ6N2RnpKJt8ybYvO+QRY/qzQWwxOt7KK9ZOs4b2dHbSh2oz5YGhBCSCFDorgeIQpk5kFoIbXIuRoyV4TSJl2m6VYN9OW2XCWlW5uWy8iIqPoNi++kSrVkoCre3E4oOeU2xeEsxjuiW71i2SZq90HDO8A4AgN827rMt58TZw9pjWMcW6JTfFEc/OjO43Y05ubAFQP3TPllbZHh7ImN7FKoV9Psdozora7qFcjJhNdIzvOuP5mwBTdNT0LZ5E6zdXYoFm/dbnrffr3afOb0vZIztWYhTBrXBoPa5CqXDJ1Hvda8Eun+dNwSHdWwRjDJv2yYQjGNhlTLMjQtImkJE+0Qd/8ZG/VmEIoSQxIJCdz2jyqDp1mlJ634Mu7XMQtO0ZJRW1kjrcPrRlJkLisFyDuvknDM32D/hc1KSbFJtbV4O2AciszoPK+2OH2YBJ1qabhWTyC4FTbFmVykKmqUr1dm/bS6W3j1eutgg05Yvuus49L/rK6FPPnSry5FsN+6ycR3YLhefL95uKmOsJ9EnZOFe5mhN+O013XUWG2HUa0wlGE3uO7Uvmmem6YJsucbiebGzAtFO6/Cu+Tiye0H4bTsQdKVIUE3fhH6tcKiyBs3SzYutfhcrNz5ASeDWcMpg0LWwGRYLbgcq4yez0LB61xBCSCLQuSCC3z7SqKDQXc+otjEd12uMw59p50lSoIhy+LnD25v2W02I9GsCPpjEDH/4PqdWmpTQPFNhoulhcDJdvVpfbH121erQSE7yoWm6+iPrZPEQbMcwTlmSNi4c3QlpyUkY3TVf17f6pn1yiiYf6zUDpftD2ac7VFCq6XZzsVwMxKguztYc+n5Ep2y0SPSFpPtP7We5L5rDlxQ0Lze38szZg9G/bS4+/G1LxO0k+PATQho5F47uiAPlVRijauFGGi0UuusB4pymY13wIBlW0bzd8uw5QyR9cAikZoFOGLcwebWrzm7S3ad1ju57WWU1MtNSkOQLBFnLykjRtS+rKynJuZ1wuGpsV+wtrUTPVlmOZa3GM1byhnhtLz+qMwqzM0xlUpOTcMHoTsHvTdKS0bWwGVrlmMsSdfzwK1hsxMGnOxqWH2H0ya4b957SBwcrapRyeAfri+RBT4AFgHCxG/lwT0sTuo3m5T4fMKF/wCdcHG67oX/6rMGoqK5BVxtriURYgAmX7CZqC6CEkPpHekoybhrf07kgafRQ6K5HnDaoDVpKBCIpNrMs5wm5eXbjpCFU9ul2+O6Gdi30qc1uen8Rnjl7MLoWZmHxXeMBALf/b3GoLUkdoTRc3s7onPIPW3YoRvQsysamvebARaoCXs+ibHw96SivuxV1ai0MRazuw2inY1K5/73y6Y4163aXKpe1ioZvNz5DOqi7uUQyHKG4D/WPoIuCSkYClRgZwue+bbKRlATkK7rH2NG7tXV6yES3NLDC5/PhlQsPQ1llDQqzuDhJCCGNHQrd9QBVgVBVQHAUuSXNZSmaKpvqEj4n+XxolpFi2B+eMC/js0Xb8MzZdnXJfLrjP6OLRxduHt8D05ftqGs//mMQK5wWjxIFp2wBTsiuaazPfHtxuXS7K/PyBBB16/PjEa3R8/l8uG1Cb3mbiguwym3V16CNQIMyN62P408IIYkE83TXA0LBcGz2GXbbzROdJpGy39b0uuiyJw1oLdlrN9HSCw+tcprgybMG6Y6LROjrWWRvvu00UYhnDtiHT++PNy4eju6F8nNwMypu+2/0Ded8qo4YSFg/33oMrjumG4DAdZPmXdcFtnPfJ1HTnSiLKuH0QikdWIyIyDQ9ziTGHRAeCXL7kjrCjcFCCCGNHWq66xHyPNeir7VQNoKZipMQID3GYvuIznlCn+r+Khyncd0x3XDzfxfhtMFtpPvd+MrZmZfHAyfz2Po7xU9cwpWbvLwWLbMzMKRDc9t6xe3habpDn1vnZGBUl7zIoovHCON42MWwiDX18XkMxgVIAMk1XKuFG8Z1R2llNVrl0kSbEEJI/SVuQvd3332HsWPHSvfNnTsXhx12mHTfmDFjMHPmTN22yy+/HM8//7znfUwU7KYq7QW/ZtU0QbJdzTNTsa+sqq495zQ9pj5aSDNOPuh+v99WqDjjsHYY2SUPbXKbuOqPvC3zuYVShtXHKXWISMxw6/u5u8HKvLxpegp6FmWhgyFOQLTwOdx3+sCF7uqs+xb8dEK/VjihXyuXHXRXPFKCWQSifCuGU30iCKwJQxxeFWcc1i72jRJCCCEeEzehe9SoUdi2bZtu2x133IEZM2Zg6NChtsdeeumluOeee4LfMzNjM1GOFyFthXlfz6JQABqdptumPuMk8uNrRmPR5mLc/r8luvZ0fVDtrA2aVlnULqvUawyYJhLpfDgpRpP9cIjHVL+hyxd2FhnTrj8yZv1wWiDzW5RVrTPiQGpRfB5UF4guPryTcyFFvBCcE/Ed4UxdIDW7EmGcVzjDWT/HjxBCCPGGuAndaWlpKCoKRXiuqqrCRx99hL/+9a+OE6TMzEzdsY0Zq3mMm0lm/7a5WLq1JPg9LcXs6u8mCq4V2qG6OvyR1ml/sN/is125xkZj0uS51epHa2ScYgn49VJ3GPUn3jVV6ZImkD9x5kCcPFDuUhJrgpHV49qL8IhSanZCCCGEuCRhAql9/PHH2LNnDy688ELHsm+++Sby8/PRt29fTJ48GWVlZTHoYfzw22grmqQm4/0rRuL9K0YiLTlJt90K2eRX2zSuVyG6FFj7fkY0MZP6dNublztW6RQUzm/1JUAia7rddCnS/nt1/ok4jiKJ0r+QIGdhXm4Rq8G2zgRLGeYG4yJErBcNure0DsiYgOsXrmkI50AIIYTUZxImkNqLL76I8ePHo23btrblzj77bHTo0AGtW7fGokWL8Pe//x0rV67EBx98YHlMRUUFKioqgt9LSkosyyYysolTcpIPQzuaA3I9ffYgXP/OAtx2Yi9zPTZ1hx1oyo1GRehApEKQm8mk39DetUd3xZKtJVi2rX7eD5HQPDMt+DldYtnQUHETeC+quNB0hxVILQH0llbPZqIsfIj8c2J/PDb9d5w9rL1lmfoY+yCU+CL+9wOp37TJbYKH/9QfTdISJ6MAIYTUJzwXum+55Rb885//tC2zfPly9OzZM/h98+bN+PLLL/Huu+861n/ZZZcFP/fr1w+tWrXCMcccgzVr1qBLly7SY6ZMmYK7775b8QwSj3DmeoPaN8fMm+SB6mSz4SEdWuC+U/qiTXN5wLLQoeFP3kK+3IJPd4Qpw/KbpYd97KTjeuC2DxcH+pGAxqPRnCY3SUvGd38bgySfD6nJ3gndiapRa5KajENVNRjdNc+5cAwI5h6G83VWfT50KQMT8DqoCH422RE9wepdWpCVjimn9ZPuayzm5Ur1uRyF+rhQQeQ0b5qG04cyqB0hhISL50L3jTfeiAsuuMC2TOfOnXXfX375ZeTl5eGPf/yj6/aGDx8OAFi9erWl0D158mRMmjQp+L2kpATt2tW/H49oaiu6FjZDV5uUQs4pw5wnVzKf7kinZE+cOQgfLdiqVFZ2DvHM0+1EtM3LZemYElBW84Q/H9YOr8xaH/bxXt8fYvRymVAdsaY70gsZ6+jldX+j9RxG5sLSAJ4Kj08hnOoS8R1LCCGExArPhe6CggIUFBQol/f7/Xj55Zdx/vnnIzXVvennggULAACtWlmnxElPT0d6evga0UTBq7lfRBNQi+0qEyqt/7ro5Q4pw7xEtjAgahwJiRWi9lQevTwcn24xenniCYpN0pJQkJWeOCb+ihzVvQDPnjMYrXLqX55ou3gghBBCCIkdcffp/uabb7Bu3Tpccsklpn1btmzBMcccg9deew3Dhg3DmjVrMHXqVJx44onIy8vDokWLcMMNN+DII49E//7949D72OC1iV5Y6V4cxFKVHmoCriF4eZTx23wTxiIB1TBuLlNWRgq6FjbD6p0HAejzt6uQiOb10cD1ZY6StBIUkJV8ut13ImKhOwqa/VMHtcWpg+xjdgRTXCWQlNgxv6nUKqQ+oHK/x+rJbyzvGEIIIURG3IXuF198EaNGjdL5eGtUVVVh5cqVwejkaWlp+Prrr/F///d/KC0tRbt27TBx4kTcfvvtse52XPBO0+1B3q9wDpVp9CJMGeYGqXm5ti82XYgax/UpwnF9ilBeVYNPFm7FmB6FMW3/xmO749Hpv+P+U+V+sfHGQcaNOU790WUMC+P5SLTo5U7C3/RJR8HvB658Yx52H6yMTacaESr3kFJKt0R5gAghhJB6RtyF7qlTp1ru69ixo07L265dO8ycOTMW3UooEmGi4+jTrdBJbVInTu6O7J6PD+ZvjqBn6sh9uhtGyjCNjNTkuAS7+esx3XDxEZ2QmRb3V4qUoBtBglznkIGFH36/zKfbfUdFQbsgq36502gBEZOjvFqQIJc/ZkTtfBVXghwyNhJCCCGNhsScIRMdgnenJ/VFolm20pKrzacCx4qmr5lpKbh9Qm8s2lyMiw7viLnr9oXfOQeMKcOImUjujUQVuAFRs5wYN0A0NN0+nw+fX3sEKqprkCukhAsLD141YQXbCh7rrfCdSObq8YApwwghhJD4krizZGIinoHUvBBVtP53KdBHSW+fl4nZk4+Gz+fD3HW/etBSCCch+9YTe+GWE3pGXcMWDl70KCM1CeVVtRjbQz24YUMkOJaJIXMDLjTvbgSm3q2zw+1QVGnsQm+80CwmEmH8E+bRI4QQQuIAhe56wFHdC5DTJBXdWlqn9Io2mnBgOXlTEh4CtM/LxDuXjUBes5A2LlppeUShRmaym5biXY7qRKRfmxz8sn4fzmjk+VUj9emOVjBDK807LTLkpCUnobKm1nWgQEIIIYSQeEKhux4woF0uBrTL9ay+yMzL5ShFLxcOHt45T1qmbfMmrvs0oF0uFm7aj0Htc10fm8gUxTBFUUMX8kK+++5ONFoKQrFe6fPod9gfbTy+H5SH3WFxr3NBU6zYfgAPJGjAvkTFq3sokveE1wtXhBBCSH2CQncjJBz/vg55mTi6ZyF6tpKbryoFUlNod9Jx3XGwohqnDGyj3LcBbXOwcNN+HNE137Fsovj02vHSBUPx6/p9OKl/64jr4jw3QK9WWZjQrxV6Wdy/8cLq+vg9j+TQsAj3OW5sgl/QQsnuLgpjTFTvyUY23IQQQoglFLobI2HM4k/s1won9msVWbMK7WZnpOKR0wdE1I6IODmvLxPAo3u2xNE9W3pap3IwrgYq4qnliI4dYtR82X2py9OdCA65McJJmA53LBrREOpwszgR7TGqJ69fQgghJCo0bIdWEjOUzMuj1bbibO6KMZ0xvk8RgFCKIkLigdOzoIteHs2OWOFxo24FOsfxoQTnisa66EAIIYQkCtR0N0LiNf+KusbOof5TB7WF3+/Hf68caYqg3lChbJKYBAOpWUiP4vb6KjBF43kP5jf3vOaGSSItTiRSXwghhJBYQ6G7ERKNybDdhCo3MxX7y6owrpe3JtPh4PP5MKRDi3h3Iw7UU8ktzkzo1wo7D1SgIMtbywjNjF8tT3fjuXZOglkjGgpP8FrQrQ8xMQghhJBEhEJ3IyTW89aZfxuL9XtKPY3ATkgsmHRcj6jU265FEzz+5wFokpqCx6avNO2Pu1Ywzu1bCdd/G98DJYeq0LMoK7Ydqud4vXCjWh2FdEIIISQAhW7iCXaTq5zMVAzIzI1L23EXXuKM6xRZ1CTGhNzMtGBgt0e/kgjddfc0r4eesT0KwzquoQYIdELl6Y/dK7KRv4wJIYQ0ahhIrRHSqaCp53UmgnDbOKfValB4q2cEUz01LhLgNdIgUbmPGuvCBCGEEBILKHQ3Qga3b45rxnb1tM5EELplJGi3CLFFu2/j5s8dd/kr7h1oEHidl7wwKwOd8psiKyM1jL542hVCCCGkXkHzckIaMKrzXK8n5yQy/I1U0x0tfD4gJcmHpEZm8hFavPGmvntP6etNRYQQQkgjg0J3I6UhzT0pLzqjerkb0G1Rr2kIPt3h9D1aiz8nD2yDkwe2iUrd9YF43UZXjumKN+ZsBECrI0IIIY0bCt2kwSCb5FMgJ4mO3X3bWP1s6/NiQyJxVPcCvHHxcORmujcH94I2uU3QOb8p1u4ujUv7hBBCSKJAoZt4As2TExNelsRHdo2Cmyh8kghomZ2BltkZ8e4GAL6LCCGENG4odJN6D+dyzsQtIBcJiyapyTh5YGukJDWuWJd8lmNP1IVhvnoIIYQQCt2NFa/nQYkwWW6sprhe0LVlFsb0KEDHfO/TyRH3tGiahifOHBTvbsQNPslxIMqDTmsoQgghjRkK3cQTahN0QuVPiOWA+KF69ueN6IDzRnSIal9I44ULYo0XXnlCCCGEeboJaRRw4kviieriV4Ku3REP4KUlhBDSmKHQTTwhnpNlTtQJSTwiWehhDIKGA68lIYQQQqG78dIAJ0LSU2rsAjlXJEgYdMzLjHcXSAOhTW4TdMpvivQUTjcIIYQ0XujTTTyBol1i0wDXWEgUufXEXgCAiYPbelKfqk93/7Y5yExLRoum8ckrTbzn1YuGxbsLhBBCSNyh0E0i4o8DWuPjhVtx1ZgucewFRX5CvCQ3Mw0P/WlAzNu95+S+MW+zsdPYg00SQgghsYBCN4mIx84YgL8e3RVdC5vFuytSXVpjn0429vMnhKhBYxhCCCEkelDobqR4NcFKSU5Ct5ZZHtVGogXNy0k8oTaVEEIIIY0ZRjYhhBBCCCGEEEKiBIVuUu+xC9Dtb+TRuxv56ZM4IlpXqAZSI4QQQghpiFDoJg0GmlBbQ6GHEEIIIYSQ+EChu5FCAZUQQgitYQghhJDoQ6Gb1Hs4aSQksWnXokm8u0Ac8HEllhBCCIkaFLpJg0E2aWzs8jijRpNE4Jbje8W7C4QQQgghcYNCNyGNASqxSJzomJeJnMzUeHeDEEIIISRuRE3ovv/++zFq1ChkZmYiNzdXWmbjxo2YMGECMjMzUVhYiJtuugnV1dW29e7duxfnnHMOsrOzkZubi4svvhgHDx6Mwhk0bBhYi5DE4NYTA1rgiw/vFOeeRAfaWhBCCCGksZMSrYorKytx+umnY+TIkXjxxRdN+2tqajBhwgQUFRVh1qxZ2LZtG84//3ykpqbigQcesKz3nHPOwbZt2zB9+nRUVVXhwgsvxGWXXYapU6dG61RIgjOhfyt0a9kMQzo0N+1r7P7ej50xEIcqa9Axv2m8u0IsGNuzEIvuOg7ZGQ1NG8yFPUIIIYQQIIpC99133w0AeOWVV6T7v/rqKyxbtgxff/01WrZsiYEDB+Lee+/F3//+d9x1111IS0szHbN8+XJMmzYNv/zyC4YOHQoAeOqpp3DiiSfikUceQevWraN1OiSBObJ7AY7sXhDvbiQk3VtmxbsLRIGGJ3ATQgghhBCNuPl0z549G/369UPLli2D28aPH4+SkhIsXbrU8pjc3NygwA0A48aNQ1JSEn7++eeo95kQQghpSDR2ayBCCCEkFkRN0+3E9u3bdQI3gOD37du3Wx5TWFio25aSkoIWLVpYHgMAFRUVqKioCH4vKSkJt9sNhsaSHYbzSUIIcSbSn4TWORnYWlyOnkW0riGEEEKMuNJ033LLLfD5fLb/VqxYEa2+hs2UKVOQk5MT/NeuXbt4d4kQQghpMLx92UhcNLoTXrrgsHh3hRBCCEk4XGm6b7zxRlxwwQW2ZTp37qxUV1FREebOnavbtmPHjuA+q2N27typ21ZdXY29e/daHgMAkydPxqRJk4LfS0pKKHgTQgghHtE+LxN3ntQ73t0ghBBCEhJXQndBQQEKCrwJWDVy5Ejcf//92LlzZ9BkfPr06cjOzkbv3vIf7pEjR2L//v2YN28ehgwZAgD45ptvUFtbi+HDh1u2lZ6ejvT0dE/6TeoXfjosEkIIIYQQQuJI1AKpbdy4EQsWLMDGjRtRU1ODBQsWYMGCBcGc2scddxx69+6N8847DwsXLsSXX36J22+/HVdffXVQQJ47dy569uyJLVu2AAB69eqF448/Hpdeeinmzp2Ln376Cddccw3OPPNMRi53SSNx6SaExBmuexFCCCGksRO1QGp33nknXn311eD3QYMGAQC+/fZbjBkzBsnJyfj0009x5ZVXYuTIkWjatCn+8pe/4J577gkeU1ZWhpUrV6Kqqiq47c0338Q111yDY445BklJSZg4cSKefPLJaJ0GIYSQMGgswRrrO1wTIYQQQqJP1ITuV155xTJHt0aHDh3w+eefW+4fM2aMyTy4RYsWmDp1qhddJIQQQgi4SEIIIYREk7jl6SYkFlCLQwghhBBCCIknFLobKXnNGkdguaZpyfHuAiGEEEIIIaQREzXzcpLYnD60LeZv3IfDu+bHuytR5W/je2Dl9gM4a1j7eHeFEEIIIYQQ0gih0N1ISU1OwiOnD4h3N6JOYVYGPrrm8Hh3gxBCCCGEENJIoXk5IYSQqOFnZAVCCCGENHKo6SaEEOI5DIZdPxjfpyX6t8lBy+yMeHeFEEIIabBQ6CaEEEIaKdeP6x7vLhBCCCENHpqXE0IIIYQQQgghUYJCNyGEEEIIIYQQEiUodBNCCCGEEEIIIVGCQjchhBBCCCGEEBIlKHQTQgiJGn5mDCOEEEJII4dCNyGEEM/x+Zg0jBBCCCEEoNBNCCGEEEIIIYREDQrdhBBCCCGEEEJIlKDQTQghhBBCCCGERAkK3YQQQgghhBBCSJSg0E0IIYQQQgghhEQJCt2EEEKiBlOGEUIIIaSxQ6GbEEKI5zBhGCGEEEJIAArdhBBCCCGEEEJIlKDQTQghhBBCCCGERAkK3YQQQgghhBBCSJSg0E0IIYQQQgghhEQJCt2EEEIIIYQQQkiUoNBNCCGEEEIIIYRECQrdhBBCPMfHnGGEEEIIIQAodBNCCCGEEEIIIVGDQjchhBBCCCGEEBIlKHQTQgghhBBCCCFRgkI3IYQQQgghhBASJSh0E0IIIYQQQgghUYJCNyGEkKjh9/vj3QVCCCGEkLhCoZsQQojn+MCcYYQQQgghQBSF7vvvvx+jRo1CZmYmcnNzTfsXLlyIs846C+3atUOTJk3Qq1cvPPHEE471duzYET6fT/fvwQcfjMIZEEIIIYQQQgghkZESrYorKytx+umnY+TIkXjxxRdN++fNm4fCwkK88cYbaNeuHWbNmoXLLrsMycnJuOaaa2zrvueee3DppZcGv2dlZXnef0IIIYQQQgghJFKiJnTffffdAIBXXnlFuv+iiy7Sfe/cuTNmz56NDz74wFHozsrKQlFRkSf9JIQQQgghhBBCokVC+XQXFxejRYsWjuUefPBB5OXlYdCgQXj44YdRXV0dg94RQgghhBBCCCHuiJqm2y2zZs3CO++8g88++8y23LXXXovBgwejRYsWmDVrFiZPnoxt27bhscceszymoqICFRUVwe8lJSWe9ZsQQgghhBBCCLHCldB9yy234J///KdtmeXLl6Nnz56uOrFkyRKcfPLJ+Mc//oHjjjvOtuykSZOCn/v374+0tDRcfvnlmDJlCtLT06XHTJkyJWjuTgghJPoU5WTg9gm90Cw9YdZ2CSGEEELigs/vIonqrl27sGfPHtsynTt3RlpaWvD7K6+8guuvvx779++Xll+2bBnGjh2LSy65BPfff79qV4IsXboUffv2xYoVK9CjRw9pGZmmu127diguLkZ2drbrNgkhhBBCCCGENCxKSkqQk5PjuZzoSgVRUFCAgoICzxpfunQpjj76aPzlL38JS+AGgAULFiApKQmFhYWWZdLT0y214IQQQgghhBBCSLSImt3fxo0bsXfvXmzcuBE1NTVYsGABAKBr165o1qwZlixZgqOPPhrjx4/HpEmTsH37dgBAcnJyULCfO3cuzj//fMyYMQNt2rTB7Nmz8fPPP2Ps2LHIysrC7NmzccMNN+Dcc89F8+bNo3UqhBBCCCGEEEJIWERN6L7zzjvx6quvBr8PGjQIAPDtt99izJgxeP/997Fr1y688cYbeOONN4LlOnTogPXr1wMAysrKsHLlSlRVVQEIaKzffvtt3HXXXaioqECnTp1www036Py8CSGEEEIIIYSQRMGVT3dDIVq2+oQQQgghhBBC6ifRkhMTKk83IYQQQgghhBDSkKDQTQghhBBCCCGERAkK3YQQQgghhBBCSJSg0E0IIYQQQgghhEQJCt2EEEIIIYQQQkiUoNBNCCGEEEIIIYRECQrdhBBCCCGEEEJIlKDQTQghhBBCCCGERAkK3YQQQgghhBBCSJSg0E0IIYQQQgghhEQJCt2EEEIIIYQQQkiUoNBNCCGEEEIIIYRECQrdhBBCCCGEEEJIlKDQTQghhBBCCCGERAkK3YQQQgghhBBCSJSg0E0IIYQQQgghhEQJCt2EEEIIIYQQQkiUoNBNCCGEEEIIIYRECQrdhBBCCCGEEEJIlKDQTQghhBBCCCGERAkK3YQQQgghhBBCSJSg0E0IIYQQQgghhEQJCt2EEEIIIYQQQkiUoNBNCCGEEEIIIYRECQrdhBBCCCGEEEJIlKDQTQghhBBCCCGERAkK3YQQQgghhBBCSJSg0E0IIYQQQgghhEQJCt2EEEIIIYQQQkiUoNBNCCGEEEIIIYRECQrdhBBCCCGEEEJIlKDQTQghhBBCCCGERAkK3YQQQgghhBBCSJSg0E0IIYQQQgghhESJqAnd999/P0aNGoXMzEzk5uZKy/h8PtO/t99+27bevXv34pxzzkF2djZyc3Nx8cUX4+DBg1E4A0IIIYQQQgghJDKiJnRXVlbi9NNPx5VXXmlb7uWXX8a2bduC/0455RTb8ueccw6WLl2K6dOn49NPP8X333+Pyy67zMOeE0IIIYQQQggh3pASrYrvvvtuAMArr7xiWy43NxdFRUVKdS5fvhzTpk3DL7/8gqFDhwIAnnrqKZx44ol45JFH0Lp164j6TAghhBBCCCGEeEncfbqvvvpq5OfnY9iwYXjppZfg9/sty86ePRu5ublBgRsAxo0bh6SkJPz888+x6C4hhBBCCCGEEKJM1DTdKtxzzz04+uijkZmZia+++gpXXXUVDh48iGuvvVZafvv27SgsLNRtS0lJQYsWLbB9+3bLdioqKlBRURH8XlJS4s0JEEIIIYQQQgghNrjSdN9yyy3S4GfivxUrVijXd8cdd2D06NEYNGgQ/v73v+Pmm2/Gww8/7PoknJgyZQpycnKC/9q1a+d5G4QQQgghhBBCiBFXmu4bb7wRF1xwgW2Zzp07h92Z4cOH495770VFRQXS09NN+4uKirBz507dturqauzdu9fWL3zy5MmYNGlS8HtJSQkFb0IIIYQQQgghUceV0F1QUICCgoJo9QULFixA8+bNpQI3AIwcORL79+////buPSiq8o0D+HdXYRFxQWQBL0gZRuRdUsS0cCTUcbzhjMaYWpmSSqXmZZxMmma8ZcroSFnNGKY1KmOSZumg4B01CQyQIUSNSi5TyCVQuT2/P2xPbSA/lHOWXfl+ZviDcx7ecx6++3Lm3WXPIjU1FYGBgQCApKQk1NfXIygo6L7jGgyG+45JREREREREpBXN3tOdn5+PkpIS5Ofno66uDunp6QAAPz8/uLi44NChQygqKsKwYcPg5OSExMRErF27FkuXLlXGuHjxImbNmoXjx4+je/fuCAgIwNixYzF37lxs374dNTU1iIqKwosvvsg7lxMREREREZHN0WzRvXr1auzcuVP5ftCgQQCA5ORkhISEwMHBAbGxsVi8eDFEBH5+fti8eTPmzp2r/ExVVRVycnJQU1OjbPvyyy8RFRWF0aNHQ6/XY+rUqdi6datWbRARERERERE9NJ009Rldj6jy8nK4urqirKwMRqOxtU+HiIiIiIiIWplW68RW/5xuIiIiIiIiokcVF91EREREREREGuGim4iIiIiIiEgjXHQTERERERERaYSLbiIiIiIiIiKNaPaRYbbMfMP28vLyVj4TIiIiIiIisgXm9aHaH/DVJhfdFRUVAAAfH59WPhMiIiIiIiKyJRUVFXB1dVVtvDb5Od319fW4efMmOnXqBJ1O1+LxysvL4ePjg19//ZWf+92KmEPrYwa2gTnYBuZgG5hD62MGtoE52AbmYBvul4OIoKKiAt26dYNer947sdvkK916vR49evRQfVyj0cjJYwOYQ+tjBraBOdgG5mAbmEPrYwa2gTnYBuZgGxrLQc1XuM14IzUiIiIiIiIijXDRTURERERERKQRLrpVYDAYEB0dDYPB0Nqn0qYxh9bHDGwDc7ANzME2MIfWxwxsA3OwDczBNlg7hzZ5IzUiIiIiIiIia+Ar3UREREREREQa4aKbiIiIiIiISCNcdBMRERERERFphItuIiIiIiIiIo1w0f23U6dOYcKECejWrRt0Oh0SEhIs9hcVFeHll19Gt27d4OzsjLFjxyI3N9eiprCwEDNnzoS3tzc6duyIwYMHY//+/RY1JSUlmDFjBoxGI9zc3DBnzhz89ddfWrdnF6yVwWOPPQadTmfxtX79eq3bsxtq5JCXl4cpU6bAZDLBaDRi2rRpKCoqsqjhXGiatXLgfLi/devWYciQIejUqRM8PT0xefJk5OTkWNTcuXMHCxcuRJcuXeDi4oKpU6c2+B3n5+dj/PjxcHZ2hqenJ5YtW4ba2lqLmhMnTmDw4MEwGAzw8/NDXFyc1u3ZDWvlcOLEiQZzQafTobCw0Cp92jq1cnjzzTcRGBgIg8GAgQMHNnqsn376CSNHjoSTkxN8fHzwwQcfaNWWXbFWBjdu3Gh0Lpw/f17L9uyGGjlcvnwZERER8PHxQYcOHRAQEIAtW7Y0OBavDfdnrRzUujZw0f23yspKDBgwALGxsQ32iQgmT56Ma9eu4ZtvvkFaWhp8fX0RGhqKyspKpW7WrFnIycnBwYMHkZGRgfDwcEybNg1paWlKzYwZM5CVlYXExER8++23OHXqFObNm2eVHm2dtTIAgPfffx8FBQXK1xtvvKF5f/aipTlUVlYiLCwMOp0OSUlJOHv2LKqrqzFhwgTU19crY3EuNM1aOQCcD/dz8uRJLFy4EOfPn0diYiJqamoQFhZm8Tdn8eLFOHToEOLj43Hy5EncvHkT4eHhyv66ujqMHz8e1dXVOHfuHHbu3Im4uDisXr1aqbl+/TrGjx+PUaNGIT09HYsWLcJrr72Go0ePWrVfW2WtHMxycnIs5oOnp6dV+rR1auRg9uqrr2L69OmNHqe8vBxhYWHw9fVFamoqNm7ciPfeew+ffvqpZr3ZC2tlYHbs2DGLuRAYGKh6T/ZIjRxSU1Ph6emJ3bt3IysrC++88w5WrlyJbdu2KTW8NjTNWjmYtfjaINQAADlw4IDyfU5OjgCQzMxMZVtdXZ2YTCb57LPPlG0dO3aUL774wmIsd3d3pebKlSsCQH744Qdl//fffy86nU5+//13jbqxT1plICLi6+srMTExmp37o+Rhcjh69Kjo9XopKytTakpLS0Wn00liYqKIcC48KK1yEOF8eBDFxcUCQE6ePCki936fDg4OEh8fr9RkZ2cLAElJSRERke+++070er0UFhYqNR9//LEYjUa5e/euiIgsX75c+vTpY3Gs6dOny5gxY7RuyS5plUNycrIAkFu3blmvGTv2MDn8W3R0tAwYMKDB9o8++kg6d+6s5CIismLFCvH391e/CTunVQbXr18XAJKWlqbVqT9SWpqD2YIFC2TUqFHK97w2PBitclDr2sBXupvh7t27AAAnJydlm16vh8FgwJkzZ5Rtw4cPx969e1FSUoL6+nrs2bMHd+7cQUhICAAgJSUFbm5ueOaZZ5SfCQ0NhV6vx4ULF6zTjJ1SKwOz9evXo0uXLhg0aBA2btzY4F89qXHNyeHu3bvQ6XQwGAxKjZOTE/R6vVLDudAyauVgxvnQPGVlZQAAd3d3APeeIa+pqUFoaKhS89RTT6Fnz55ISUkBcO+x3q9fP3h5eSk1Y8aMQXl5ObKyspSaf49hrjGPQZa0ysFs4MCB6Nq1K1544QWcPXtW63bs1sPk0BwpKSl47rnn4OjoqGwbM2YMcnJycOvWLZXO/tGgVQZmEydOhKenJ0aMGIGDBw+qc9KPILVyKCsrU8YAeG14UFrlYNbSawMX3c1gDmjlypW4desWqqursWHDBvz2228oKChQ6vbt24eamhp06dIFBoMBkZGROHDgAPz8/ADce7/xf/8VoX379nB3d+d7xv4PtTIA7r2Xac+ePUhOTkZkZCTWrl2L5cuXt0Zbdqc5OQwbNgwdO3bEihUrUFVVhcrKSixduhR1dXVKDedCy6iVA8D50Fz19fVYtGgRnn32WfTt2xfAvcexo6Mj3NzcLGq9vLyUx3FhYaHFQs+837yvqZry8nLcvn1bi3bslpY5dO3aFdu3b8f+/fuxf/9++Pj4ICQkBD/++KPGXdmfh82hOZqTFWmbgYuLCzZt2oT4+HgcPnwYI0aMwOTJk7nwboRaOZw7dw579+61eJsdrw3Np2UOal0b2j9YS22Tg4MDvv76a8yZMwfu7u5o164dQkNDMW7cOIiIUvfuu++itLQUx44dg4eHBxISEjBt2jScPn0a/fr1a8UO7J+aGSxZskSp79+/PxwdHREZGYl169ZZvCpIDTUnB5PJhPj4eMyfPx9bt26FXq9HREQEBg8eDL2ez/OpQc0cOB+aZ+HChcjMzGzwXwJkXVrm4O/vD39/f+X74cOHIy8vDzExMdi1a5fqx7NnnA+tT8sMPDw8LK4NQ4YMwc2bN7Fx40ZMnDhR9ePZMzVyyMzMxKRJkxAdHY2wsDAVz67t0DIHta4NXHQ3U2BgINLT01FWVobq6mqYTCYEBQUp/x6bl5eHbdu2ITMzE3369AEADBgwAKdPn0ZsbCy2b98Ob29vFBcXW4xbW1uLkpISeHt7W70ne6NGBo0JCgpCbW0tbty4YTGpqHH/LwcACAsLQ15eHv744w+0b98ebm5u8Pb2Rq9evQCAc0EFauTQGM6HhqKiopSb/fXo0UPZ7u3tjerqapSWllo8k15UVKQ8jr29vXHx4kWL8cx3Tv13zX/vLlxUVASj0YgOHTpo0ZJd0jqHxgwdOpQLy/9oSQ7Ncb/5YN5H2mfQmKCgICQmJrZojEeNGjlcuXIFo0ePxrx587Bq1SqLfbw2NI/WOTTmYa4NfNnpAbm6usJkMiE3NxeXLl3CpEmTAABVVVUA0OCVvHbt2il3Cg4ODkZpaSlSU1OV/UlJSaivr0dQUJCVOrB/LcmgMenp6dDr9bxD7QO6Xw7/5uHhATc3NyQlJaG4uFh5hpxzQT0tyaExnA//EBFERUXhwIEDSEpKwuOPP26xPzAwEA4ODjh+/LiyLScnB/n5+QgODgZw77GekZFh8SRTYmIijEYjnn76aaXm32OYa8xjtHXWyqEx6enp6Nq1q8od2Sc1cmiO4OBgnDp1CjU1Ncq2xMRE+Pv7o3Pnzi1vxI5ZK4PGcC78Q60csrKyMGrUKMyePRtr1qxpcBxeG5pmrRwa81DzoUW3YXuEVFRUSFpamqSlpQkA2bx5s6Slpckvv/wiIiL79u2T5ORkycvLk4SEBPH19ZXw8HDl56urq8XPz09GjhwpFy5ckKtXr8qHH34oOp1ODh8+rNSNHTtWBg0aJBcuXJAzZ85I7969JSIiwur92iJrZHDu3DmJiYmR9PR0ycvLk927d4vJZJJZs2a1Ss+2qKU5iIjs2LFDUlJS5OrVq7Jr1y5xd3eXJUuWWNRwLjTNGjlwPjRt/vz54urqKidOnJCCggLlq6qqSql5/fXXpWfPnpKUlCSXLl2S4OBgCQ4OVvbX1tZK3759JSwsTNLT0+XIkSNiMplk5cqVSs21a9fE2dlZli1bJtnZ2RIbGyvt2rWTI0eOWLVfW2WtHGJiYiQhIUFyc3MlIyND3nrrLdHr9XLs2DGr9mur1MhBRCQ3N1fS0tIkMjJSnnzySeXvnPlu5aWlpeLl5SUzZ86UzMxM2bNnjzg7O8snn3xi1X5tkbUyiIuLk6+++kqys7MlOztb1qxZI3q9Xnbs2GHVfm2VGjlkZGSIyWSSl156yWKM4uJipYbXhqZZKwe1rg1cdP/NfDv4/37Nnj1bRES2bNkiPXr0EAcHB+nZs6esWrXK4uMsRER+/vlnCQ8PF09PT3F2dpb+/fs3+PiqP//8UyIiIsTFxUWMRqO88sorUlFRYa02bZo1MkhNTZWgoCBxdXUVJycnCQgIkLVr18qdO3es2apNUyOHFStWiJeXlzg4OEjv3r1l06ZNUl9fb1HDudA0a+TA+dC0xn7/AOTzzz9Xam7fvi0LFiyQzp07i7Ozs0yZMkUKCgosxrlx44aMGzdOOnToIB4eHvL2229LTU2NRU1ycrIMHDhQHB0dpVevXhbHaOuslcOGDRvkiSeeECcnJ3F3d5eQkBBJSkqyVps2T60cnn/++UbHuX79ulJz+fJlGTFihBgMBunevbusX7/eSl3aNmtlEBcXJwEBAeLs7CxGo1GGDh1q8bFLbZ0aOURHRzc6hq+vr8WxeG24P2vloNa1Qff3SRMRERERERGRyviebiIiIiIiIiKNcNFNREREREREpBEuuomIiIiIiIg0wkU3ERERERERkUa46CYiIiIiIiLSCBfdRERERERERBrhopuIiIiIiIhII1x0ExEREREREWmEi24iIiIiIiIijXDRTURERERERKQRLrqJiIiIiIiINMJFNxEREREREZFG/ge+LFLDDu4ZFwAAAABJRU5ErkJggg==", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# Logarithmic transformation on original series\n", + "log_series = np.log(dataset['Adj Close'])\n", + "\n", + "# Logarithmic transformation on residual series\n", + "log_residual = np.log(residual)\n", + "\n", + "plt.figure(figsize=(10, 8))\n", + "\n", + "plt.subplot(211)\n", + "plt.plot(dataset.index, log_series, label='( LOG-TRANSFORMED ORIGINAL )')\n", + "plt.legend(loc='best')\n", + "\n", + "plt.subplot(212)\n", + "plt.plot(dataset.index, log_residual, label='( LOG-TRANSFORMED RESIDUAL )')\n", + "plt.legend(loc='best')\n", + "\n", + "plt.tight_layout()\n", + "plt.show()\n" + ] + }, + { + "attachments": {}, + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Task 5: Test for Normality\n", + "\n", + "##### 1) Perform the Shapiro-Wilk test to test for normality of the original and transformed series." + ] + }, + { + "cell_type": "code", + "execution_count": 14, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Shapiro-Wilk Test on ORIGINAL - p-value = 0.0\n", + "Shapiro-Wilk Test on TRANSFORMED - p-value = 0.0\n" + ] + }, + { + "name": "stderr", + "output_type": "stream", + "text": [ + "c:\\Users\\Himanshu\\AppData\\Local\\Programs\\Python\\Python311\\Lib\\site-packages\\scipy\\stats\\_morestats.py:1816: UserWarning: p-value may not be accurate for N > 5000.\n", + " warnings.warn(\"p-value may not be accurate for N > 5000.\")\n" + ] + } + ], + "source": [ + "from scipy.stats import shapiro\n", + "\n", + "# Shapiro-Wilk test on original series\n", + "shapiro_orig = shapiro(dataset['Adj Close'])\n", + "print(f'Shapiro-Wilk Test on ORIGINAL - p-value = {shapiro_orig[1]}')\n", + "\n", + "# Shapiro-Wilk test on transformed series\n", + "shapiro_transformed = shapiro(diff_series) # Replace with the transformed series of your choice\n", + "print(f'Shapiro-Wilk Test on TRANSFORMED - p-value = {shapiro_transformed[1]}')\n" + ] + }, + { + "attachments": {}, + "cell_type": "markdown", + "metadata": {}, + "source": [ + "##### 2) Plot QQ-plots to visually inspect the normality assumption.\n" + ] + }, + { + "cell_type": "code", + "execution_count": 15, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# QQ-plot for original series\n", + "sm.qqplot(dataset['Adj Close'], line='s')\n", + "plt.title('( QQ-PLOT FOR ORIGINAL SERIES )')\n", + "plt.show()\n", + "\n", + "# QQ-plot for transformed series\n", + "sm.qqplot(diff_series, line='s') # Replace with the transformed series of your choice\n", + "plt.title('( QQ-PLOT FOR TRANSFORMED SERIES )')\n", + "plt.show()\n" + ] + }, + { + "attachments": {}, + "cell_type": "markdown", + "metadata": {}, + "source": [ + "##### 3) Interpret the test results and the QQ-plots to determine if the series can be considered normally distributed.\n", + "\n", + "##### a) Shapiro-Wilk test: If the p-value is above a chosen significance level (e.g., 0.05), we fail to reject the null hypothesis of normality. Lower p-values indicate departure from normality.\n", + "##### b) QQ-plots: If the points in the plot closely follow the diagonal reference line, it suggests that the data approximately follows a normal distribution.\n", + "##### Based on the test results and QQ-plots, we can determine if the series can be considered normally distributed or not." + ] + }, + { + "attachments": {}, + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Task 6: Test for Homoscedasticity and Apply Box-Cox Transformation\n", + "\n", + "##### 1)Test for homoscedasticity in the transformed series using appropriate statistical tests (e.g., Breusch-Pagan test).\n", + " " + ] + }, + { + "cell_type": "code", + "execution_count": 16, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "BREUSCH-PAGAN TEST - p-value = 9.15855549854787e-14\n" + ] + } + ], + "source": [ + "from statsmodels.stats.diagnostic import het_breuschpagan\n", + "from statsmodels.compat import lzip\n", + "\n", + "# Generate constant array for exogenous variable\n", + "constant = np.ones(len(diff_residual))\n", + "\n", + "# Trim the longer array to match the length of the shorter array\n", + "length_diff = len(diff_residual) - len(diff_series)\n", + "if length_diff > 0:\n", + " diff_residual = diff_residual[length_diff:]\n", + "else:\n", + " diff_series = diff_series[-length_diff:]\n", + "\n", + "# Create exogenous variable with constant and diff_series\n", + "exog = np.column_stack((constant, diff_series))\n", + "\n", + "# Perform Breusch-Pagan test on transformed series\n", + "bp_test = het_breuschpagan(diff_residual, exog)\n", + "\n", + "print(f'BREUSCH-PAGAN TEST - p-value = {bp_test[1]}')\n" + ] + }, + { + "attachments": {}, + "cell_type": "markdown", + "metadata": {}, + "source": [ + "##### 2) Apply the Box-Cox transformation to the series to normalize the data and stabilize variance.\n" + ] + }, + { + "cell_type": "code", + "execution_count": 17, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "from scipy.stats import boxcox\n", + "\n", + "# Box-Cox transformation on the original series\n", + "transformed, lam = boxcox(dataset['Adj Close'])\n", + "\n", + "# Trim the longer array to match the length of the shorter array\n", + "length_diff = len(transformed) - len(dataset.index[1:])\n", + "if length_diff > 0:\n", + " transformed = transformed[length_diff:]\n", + "else:\n", + " dataset = dataset.iloc[-length_diff:]\n", + "\n", + "plt.plot(dataset.index[1:], transformed)\n", + "plt.title('( BOX-COX TRANSFORMED SERIES )')\n", + "plt.show()\n" + ] + }, + { + "attachments": {}, + "cell_type": "markdown", + "metadata": {}, + "source": [ + "##### 3) Visualize the transformed series and assess the improvement in homoscedasticity.\n", + "\n", + "##### a) By examining the p-value of the BREUSCH-PAGAN test, lower values indicate 'heteroscedasticity', while higher values suggest 'homoscedasticity'.\n", + "##### b) The BOX-COX transformation helps normalize the data and stabilize the variance.\n", + "##### Assess the improvement in homoscedasticity visually and based on the test result." + ] + }, + { + "attachments": {}, + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Task 7: Fit a Simple Autoregressive Model\n", + "\n", + "##### 1) Fit a simple autoregressive (AR) model (as demonstrated in the notebook) to the transformed and stationary series.\n", + "##### 2) Validate the model by splitting the data into training and testing sets.\n", + "##### 3) Evaluate the model's performance using appropriate metrics (e.g., mean squared error, mean absolute error).\n" + ] + }, + { + "cell_type": "code", + "execution_count": 18, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "MEAN SQUARRED ERROR:- 0.06979524543003486\n", + "MEAN ABSOLUTE ERROR:- 0.2026502249760709\n" + ] + } + ], + "source": [ + "from statsmodels.tsa.ar_model import AutoReg\n", + "from sklearn.metrics import mean_squared_error, mean_absolute_error\n", + "\n", + "# Split the data into training and testing sets\n", + "train_size = int(len(transformed) * 0.8)\n", + "train, test = transformed[:train_size], transformed[train_size:]\n", + "\n", + "# Fit AR model\n", + "ar_model = AutoReg(train, lags=1)\n", + "ar_model_fit = ar_model.fit()\n", + "\n", + "# Make predictions\n", + "predictions = ar_model_fit.predict(start=len(train), end=len(train) + len(test) - 1)\n", + "\n", + "# Evaluate model performance\n", + "mse = mean_squared_error(test, predictions)\n", + "mae = mean_absolute_error(test, predictions)\n", + "\n", + "print(f'MEAN SQUARRED ERROR:- {mse}')\n", + "print(f'MEAN ABSOLUTE ERROR:- {mae}')\n" + ] + }, + { + "attachments": {}, + "cell_type": "markdown", + "metadata": {}, + "source": [ + "#### By fitting the AR model to the transformed series, we can make predictions and assess its performance using the test set." + ] + }, + { + "attachments": {}, + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Task 8: Test for Autocorrelation and Plot ACF/PACF\n", + "\n", + "##### 1)Plot the ACF and PACF to visualize the autocorrelation in the transformed series" + ] + }, + { + "cell_type": "code", + "execution_count": 19, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "from statsmodels.graphics.tsaplots import plot_acf, plot_pacf\n", + "\n", + "# Select a single column from the diff_series DataFrame\n", + "diff_column = diff_series['Adj Close']\n", + "\n", + "# Plot ACF and PACF for the selected column\n", + "plot_acf(diff_column, lags=20)\n", + "plt.title('( AUTOCORRELATION FUNCTION (ACF) )')\n", + "plt.show()\n", + "\n", + "plot_pacf(diff_column, lags=20)\n", + "plt.title('( PARTIAL AUTOCORRELATION FUNCTION (PACF))')\n", + "plt.show()\n" + ] + }, + { + "attachments": {}, + "cell_type": "markdown", + "metadata": {}, + "source": [ + "##### 2) Interpret the ACF and PACF plots to identify the potential autoregressive (AR) and moving average (MA) components.( optional)\n", + "##### a) ACF: Significant spikes at certain lags indicate potential MA components.\n", + "##### b) PACF: Significant spikes at certain lags indicate potential AR components.\n", + "##### By analyzing the ACF and PACF plots, we can determine the appropriate lag orders for the AR and MA components in our autoregressive model." + ] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 3", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.11.3" + }, + "orig_nbformat": 4 + }, + "nbformat": 4, + "nbformat_minor": 2 +}