{ "cells": [ { "cell_type": "code", "execution_count": 55, "metadata": {}, "outputs": [], "source": [ "# %%\n", "import pandas as pd\n", "import os \n", "import statsmodels.api as sm\n", "import matplotlib.pyplot as plt\n", "import seaborn as sns\n", "import numpy as np\n", "from statsmodels.tsa.arima.model import ARIMA\n", "import itertools\n", "from sklearn.model_selection import TimeSeriesSplit\n", "from sklearn.metrics import mean_absolute_percentage_error, mean_absolute_error, mean_squared_error, r2_score\n", "from statsmodels.tsa.statespace.sarimax import SARIMAX\n", "from arch import arch_model" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [ "req_naics = 336111\n", "df = pd.read_csv(f\"../data/processed_data_{req_naics}.csv\")" ] }, { "cell_type": "code", "execution_count": 57, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "3.10.16 (main, Dec 11 2024, 16:24:50) [GCC 11.2.0]\n", "/opt/conda/envs/ai_env/bin/python\n" ] } ], "source": [ "import sys\n", "print(sys.version)\n", "print(sys.executable)" ] }, { "cell_type": "code", "execution_count": 58, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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yearnaicsemppayprodeprodhprodwvshipmatcostvadd...equipplantpishippimatpiinvpiendtfp5tfp5dtfp4tfp4
01958336111146.1868.4116.2229.7650.65007.93411.31563.8...3291.111718.80.3140.2380.1800.147NaN0.553NaN0.550
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" ], "text/plain": [ " year naics emp pay prode prodh prodw vship matcost vadd \\\n", "0 1958 336111 146.1 868.4 116.2 229.7 650.6 5007.9 3411.3 1563.8 \n", "1 1959 336111 160.6 1072.6 131.0 283.2 827.2 6422.2 4306.7 2143.4 \n", "2 1960 336111 176.1 1183.7 144.7 302.8 925.7 7239.0 4883.5 2336.2 \n", "3 1961 336111 152.4 1035.7 123.2 252.9 789.5 6214.2 4134.9 2053.6 \n", "4 1962 336111 168.2 1223.6 138.4 297.1 954.7 7855.3 5187.9 2671.2 \n", "\n", " ... equip plant piship pimat piinv pien dtfp5 tfp5 dtfp4 \\\n", "0 ... 3291.1 11718.8 0.314 0.238 0.180 0.147 NaN 0.553 NaN \n", "1 ... 3457.5 11415.6 0.322 0.243 0.184 0.145 0.052 0.583 0.053 \n", "2 ... 3673.0 11375.1 0.318 0.241 0.190 0.150 0.030 0.601 0.030 \n", "3 ... 3794.2 11179.9 0.317 0.242 0.190 0.146 -0.007 0.596 -0.009 \n", "4 ... 3908.1 11141.2 0.315 0.246 0.193 0.147 0.077 0.644 0.078 \n", "\n", " tfp4 \n", "0 0.550 \n", "1 0.580 \n", "2 0.598 \n", "3 0.592 \n", "4 0.641 \n", "\n", "[5 rows x 24 columns]" ] }, "execution_count": 58, "metadata": {}, "output_type": "execute_result" } ], "source": [ "df.head()" ] }, { "cell_type": "code", "execution_count": 59, "metadata": {}, "outputs": [], "source": [ "# Convert 'Year' column to datetime if it's not already\n", "df['year'] = pd.to_datetime(df['year'], format='%Y')\n", "\n", "# Select the column to decompose (e.g., 'VSHIP' for turnover forecasting)\n", "series = df['vship'] # Replace with the relevant column\n" ] }, { "cell_type": "code", "execution_count": 60, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from statsmodels.graphics.tsaplots import plot_acf\n", "plot_acf(series, lags=20) # See if there’s a peak around lag=12\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 61, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import numpy as np\n", "freq_spectrum = np.fft.fft(series.dropna())\n", "plt.plot(np.abs(freq_spectrum))\n", "plt.title(\"Frequency Spectrum\")\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 62, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from statsmodels.tsa.filters.hp_filter import hpfilter\n", "\n", "# Apply Hodrick-Prescott Filter to extract trend\n", "cycle, trend = hpfilter(series, lamb=1600) # lambda=1600 is common for annual data\n", "\n", "# Plot trend vs original series\n", "plt.figure(figsize=(10, 5))\n", "plt.plot(series, label=\"Original Series\", color=\"blue\", alpha=0.6)\n", "plt.plot(trend, label=\"Extracted Trend (HP Filter)\", color=\"red\", linewidth=2)\n", "plt.legend()\n", "plt.title(\"Trend Extraction Using HP Filter\")\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 63, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from numpy.polynomial.polynomial import Polynomial\n", "import numpy as np\n", "\n", "# Create time index\n", "X = np.arange(len(series)) # Convert years to numerical values\n", "y = series.values\n", "\n", "# Fit a 2nd-degree polynomial trend model\n", "p = Polynomial.fit(X, y, deg=4)\n", "\n", "# Plot trend\n", "plt.figure(figsize=(10, 5))\n", "plt.plot(series, label=\"Original Series\", color=\"blue\", alpha=0.6)\n", "plt.plot(series.index, p(X), label=\"Quadratic Trend\", color=\"red\", linewidth=2)\n", "plt.legend()\n", "plt.title(\"Polynomial Trend Fitting\")\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 64, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "series_diff = series.diff().dropna()\n", "\n", "# Recheck ACF after differencing\n", "from statsmodels.graphics.tsaplots import plot_acf\n", "plot_acf(series_diff, lags=20)\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 65, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "ADF Statistic: -2.6508401487586077\n", "P-value: 0.08293815363262097\n", "Series is still non-stationary, further differencing\n" ] } ], "source": [ "from statsmodels.tsa.stattools import adfuller\n", "\n", "adf_result = adfuller(series_diff)\n", "print(f\"ADF Statistic: {adf_result[0]}\")\n", "print(f\"P-value: {adf_result[1]}\")\n", "\n", "if adf_result[1] < 0.05:\n", " print(\"Series is stationary after differencing.\")\n", "else:\n", " print(\"Series is still non-stationary, further differencing\")" ] }, { "cell_type": "code", "execution_count": 66, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "ADF Statistic: -3.862003119437724\n", "P-value: 0.0023329773420767775\n", "Series is now stationary after second differencing.\n" ] } ], "source": [ "# Apply second-order differencing\n", "series_diff2 = series.diff().diff().dropna()\n", "\n", "# Recheck ACF after second differencing\n", "from statsmodels.graphics.tsaplots import plot_acf\n", "plot_acf(series_diff2, lags=20)\n", "plt.show()\n", "\n", "# Perform ADF test again\n", "from statsmodels.tsa.stattools import adfuller\n", "\n", "adf_result = adfuller(series_diff2)\n", "print(f\"ADF Statistic: {adf_result[0]}\")\n", "print(f\"P-value: {adf_result[1]}\")\n", "\n", "if adf_result[1] < 0.05:\n", " print(\"Series is now stationary after second differencing.\")\n", "else:\n", " print(\"Series is still non-stationary, further transformations may be needed.\")\n" ] }, { "cell_type": "code", "execution_count": 67, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, axes = plt.subplots(1, 2, figsize=(12, 4))\n", "\n", "# ACF (for q selection)\n", "sm.graphics.tsa.plot_acf(series.diff().diff().dropna(), lags=20, ax=axes[0])\n", "axes[0].set_title(\"Autocorrelation Function (ACF)\")\n", "\n", "# PACF (for p selection)\n", "sm.graphics.tsa.plot_pacf(series.diff().diff().dropna(), lags=20, ax=axes[1])\n", "axes[1].set_title(\"Partial Autocorrelation Function (PACF)\")\n", "\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 68, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Assuming 'series' is your Pandas Series with a DateTime index\n", "train_size = int(len(series) * 0.8) # 80% train, 20% holdout\n", "train, holdout = series.iloc[:train_size], series.iloc[train_size:]\n", "\n", "# Plot train/holdout split\n", "plt.figure(figsize=(10, 4))\n", "plt.plot(train, label=\"Training Data\")\n", "plt.plot(holdout, label=\"Holdout Data\", color=\"red\")\n", "plt.title(\"Train-Holdout Split\")\n", "plt.legend()\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 69, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "ARIMA MAE: 15962.390829966775\n" ] }, { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "count 48.000000\n", "mean 2.319119\n", "std 45.167189\n", "min -130.260726\n", "25% -21.293332\n", "50% 1.484186\n", "75% 26.767801\n", "max 108.551034\n", "dtype: float64\n" ] }, { "data": { "image/png": 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uu+/Sq1evXPuoXr06oH2Wrl27dtd4fv31VwIDA1myZIlZX7f/jLM99dRTPPXUU6SlpbF3714mTZrEgAEDCAgIoGXLlnft506GDRvGsmXL2LhxIxUqVODAgQN8//33Zm28vb2ZMWMGM2bMIDQ0lJUrV/LOO+8QFRXFunXr7njt/Pz+5eW9uhtHR8dcy6RnJ7zZFi9ejL29PatXr8bR0dF0/I8//rjvvu9l5cqV6HQ6HnvsMVNfSUlJ/P7772b/8JKf0vTWuA8hRMGRkSwhRLFhNBqZP38+lStXZuvWrTkeY8eOJSIigrVr1971Oo8++iiDBw9mzZo17NmzJ18xtGzZkuHDh/O///2P//3vf3dsN2fOHGxsbPjjjz9yxPnLL78A//6rf926dc1GaG6vFPjuu+9iNBp58cUX8zSlKzY2lhUrVtC6detc36Nnn32WAwcOEBISctfrPPvss7Rt25Yff/zRlCy+++67KKUYOXIk6enpOc7JyMhg1apV94zR0tq3b8/Jkyc5fPiw2fGff/4ZnU5Hu3bt7np+9erVqVq1KkePHs111K1JkyaUKlUKgCeeeIKtW7eapg/mRqfT4eDgYJZgRUZG5lpdMJter6dNmzZMnjwZ0KaeZR+H/I1idOrUiXLlyhEUFERQUBCOjo4888wzd2xfoUIFXnnlFTp27JjjPbxdfn//8vJe3e3+AgICOHv2rFlyGhMTw+7du83a6XQ67OzszP5hJSUlxfR7ZmlBQUGsXbuWZ555xlSgIvtnfXvVTaUUP/74Y47z9Xp9rvdb2PchhChgVlsNJoQQ+bRq1aq7LjaPjo5Wer1e9ezZ03SMO+yxFBoaqhwdHVX79u1Nx+5V+OJubi98cePGDaXX69UTTzxxx/aNGjVSpUuXzlGAITfff/+9srOzU3Xq1FFff/212rx5s9q6datauHChevrppxWgZs+erZRS6ptvvlGAWrJkSa7XOnbsmAJMRQ/utE+WUkrt27dPAWrEiBGmYz/88IMplu+++05t27ZNbdy4UX3xxReqSpUqZu99Ye2TFRUVpcqVK6d8fX3VDz/8oNavX69Gjx6tdDqdGjVqlKnd3e51y5YtSq/Xq06dOqmFCxeq7du3qxUrVqiJEyeq3r17m9pdu3ZNlS1bVvn4+KgZM2aozZs3q+XLl6uRI0eqU6dOKaX+3UfppZdeUps3b1bz5s1TlStXVlWrVlW3/2/3gw8+UMOGDVO//vqr2rZtm/rjjz9Uu3btlL29vQoJCVFKKZWUlKScnJxU69at1datW9WBAwdy3RPtv959912l1+tV6dKl1YABA8xei4uLUw0bNlRTpkxRq1atUtu2bVNTpkxRjo6OOdreLr+/f3l5r+52f7t27VKA6t27t1q/fr1auHChatCggapYsaJZ4YjNmzeb2m3YsEEtWrRINW7c2PR+ZxdvUSp/hS8qVaqk9uzZo/bs2aO2bNmifvrpJ9W9e3cFqDZt2pgVrzl16pRycHBQbdu2VX/99Zf6/fffVceOHU0xbN261dQ2+++UmTNnqn379pn+vsnPfQghij5JsoQQxUbPnj2Vg4ODioqKumOb/v37Kzs7OxUZGamUuvsX9DfffFMBavv27UopyyVZM2bMUID6448/7th+1qxZClDLly+/63WzBQcHq2HDhqnAwECl1+uVo6OjqlKliho8eLDavHmzqV2DBg2Uj4/PHTcuVkqpFi1aKG9vb5WWlnbXxEMppfr06aPs7OzU+fPnzWIZMmSIqlChgnJwcFAuLi6qYcOG6sMPPzT72RTmZsRXrlxRAwYMUF5eXsre3l5Vr15dTZkyxWzz6Hvd69GjR1Xfvn2Vj4+Psre3V76+vurxxx83VdHLdvXqVTV8+HDl6+ur7O3tlZ+fn+rbt6+6fv26qc3nn3+uAgIClF6vVzVr1lQ//vij6bOUbfXq1eqJJ55Q5cqVUw4ODsrHx0d17dpV7dy506y/RYsWqRo1aih7e/s8v2dnz541VWHcuHGj2WupqanqxRdfVPXq1VNubm7KyclJVa9eXX300UcqKSnpjte8n9+/vLxXd7u/+fPnq5o1aypHR0dVq1YttWTJklyrC86dO1dVr15d6fV6ValSJTVp0iQ1Z86cB0qyst8/QLm4uKhKlSqp3r17q2XLluXYlFwpLQmtX7++cnR0VOXKlVNvvvmmqQrh7UnWzZs3Ve/evZW7u7vS6XRmn4m83ocQoujTKSU73AkhhBBCCCGEpciaLCGEEEIIIYSwIEmyhBBCCCGEEMKCJMkSQgghhBBCCAuSJEsIIYQQQgghLEiSLCGEEEIIIYSwIEmyhBBCCCGEEMKC7KwdQFGXlZVFeHg4pUqVMu3oLoQQQgghhCh5lFLcunULPz8/bGzuPF4lSdY9hIeH4+/vb+0whBBCCCGEEEXE1atXKV++/B1flyTrHkqVKgVob6Sbm5uVoxFCCCGEEEJYS0JCAv7+/qYc4U4kybqH7CmCbm5ukmQJIYQQQggh7rmMSApfCCGEEEIIIYQFSZIlhBBCCCGEEBYkSZYQQgghhBBCWJCsybIQo9FIRkaGtcMQJZS9vT22trbWDkMIIYQQQiBJ1gNTShEZGUlcXJy1QxElnLu7O76+vrKfmxBCCCGElUmS9YCyEywfHx+cnZ3lC64odEopkpOTiYqKAqBs2bJWjkgIIYQQomSTJOsBGI1GU4Ll5eVl7XBECebk5ARAVFQUPj4+MnVQCCGEEMKKpPDFA8heg+Xs7GzlSIT493MoawOFEEIIIaxLkiwLkCmCoiiQz6EQQgghRNEgSZYQQgghhBBCWJAkWcIi2rZty5gxY6wdhhBCCCGEEFYnSVYJo9Pp7voYOnTofV33999/59NPP32g2IYOHWqKw97enjJlytCxY0fmzp1LVlZWvq41b9483N3dHygeIYQQQggh7odUFyxhIiIiTP+9ZMkSPvzwQ86cOWM6ll2lLltGRgb29vb3vK6np6dF4uvSpQtBQUEYjUauX7/OunXreO211/jtt99YuXIldnbykRVCCCGEEEWbjGSVML6+vqaHwWBAp9OZnqempuLu7s7SpUtp27Ytjo6O/Prrr8TExPDMM89Qvnx5nJ2dqVu3LosWLTK77n+nCwYEBDBx4kSGDx9OqVKlqFChAj/88MM949Pr9fj6+lKuXDkaNWrEe++9x59//snatWuZN2+eqd20adOoW7cuLi4u+Pv7M2rUKBITEwHYtm0bw4YNIz4+3jQyNn78eAB+/fVXmjRpQqlSpfD19WXAgAGm/aWEEEIIIUT+pWamcjbmrLXDKFIkybIgpRTJ6ZlWeSilLHYfb7/9NqNHj+bUqVN07tyZ1NRUGjduzOrVqwkJCeH5559n0KBB7Nu3767XmTp1Kk2aNOHIkSOMGjWKl156idOnT+c7nscff5z69evz+++/m47Z2Njw9ddfExISwvz589myZQtvvfUWAK1atWLGjBm4ubkRERFBREQE48aNAyA9PZ1PP/2Uo0eP8scff3Dp0qX7niIphBBCCFHSJaUn0XJOS6p/W50jEUesHU6RIXOvLCglw0itD9dbpe+Tn3TG2cEyP84xY8bQq1cvs2PZSQrAq6++yrp161i2bBnNmze/43W6du3KqFGjAC1xmz59Otu2baNGjRr5jqlGjRocO3bMLMZsgYGBfPrpp7z00kvMnDkTBwcHs1G62w0fPtz035UqVeLrr7+mWbNmJCYm4urqmu+4hBBCCCFKKqUUw1cOJzgyGIC91/bSsGxD6wZVREiSJXJo0qSJ2XOj0cjnn3/OkiVLCAsLIy0tjbS0NFxcXO56nXr16pn+Ozvhud+peUops32gtm7dysSJEzl58iQJCQlkZmaSmppKUlLSXeM6cuQI48ePJzg4mJs3b5oKaoSGhlKrVq37ik0IIYQQoiSasnsKS08sNT2/EHvBitEULZJkWZCTvS0nP+lstb4t5b9JytSpU5k+fTozZswwrYMaM2YM6enpd73Ofwtm6HS6fFcJzHbq1CkCAwMBuHLlCl27duXFF1/k008/xdPTk127djFixAgyMjLueI2kpCQ6depEp06d+PXXXyldujShoaF07tz5nvcihBBCCCH+teHCBt7d/C4Azco1Y3/YfkmybiNJlgXpdDqLTdkrSnbu3MlTTz3FwIEDAcjKyuLcuXPUrFmzUPrfsmULx48f5/XXXwfg4MGDZGZmMnXqVGxstGWFS5cuNTvHwcEBo9Foduz06dPcuHGDzz//HH9/f9O1hBBCCCFE3l24eYH+v/UnS2UxvMFwetfqTdeFXblwU5KsbFL4QtxTlSpV2LhxI7t37+bUqVO88MILREZGFkhfaWlpREZGEhYWxuHDh5k4cSJPPfUU3bt3Z/DgwQBUrlyZzMxMvvnmGy5evMgvv/zCrFmzzK4TEBBAYmIimzdv5saNGyQnJ1OhQgUcHBxM561cufKB9/YSQgghhChJktKT+N+S/xGbGkuzcs34rtt3VPasDMDF2IsWLcZWnEmSJe7pgw8+oFGjRnTu3Jm2bdvi6+tLz549C6SvdevWUbZsWQICAujSpQtbt27l66+/5s8//8TWVpsS2aBBA6ZNm8bkyZOpU6cOCxYsYNKkSWbXadWqFS+++CL9+vWjdOnSfPHFF5QuXZp58+axbNkyatWqxeeff86XX35ZIPchhBBCCPGwyS50cTzqOGVcyvB7399xtHMkwD0AG50NSRlJXE+6bu0wiwSdknTzrhISEjAYDMTHx+Pm5mb2WmpqKpcuXSIwMBBHR0crRSiERj6PQgghhChIk3dN5p3N72BnY8fWIVt5pMIjptcCZgRwJf4Ku4btonWF1laMsmDdLTe4nYxkCSGEEEIIIe5q/fn1pkIXX3f52izBAkxTBqX4hUaSLCGEEEIIIcQdXbh5gf7L+6NQjGg4ghebvJijTWUPLck6f/N8YYdXJEmSJYQQQgghhMhVYnoiPZf0JC41jublmvNd1+/M9i7NVsWzCiAjWdkkyRJCCCGEEELkoJRi2J/DCIkKwdfVl+V9l6O30+faNnskS8q4ayTJEkIIIYQQQuQw+e/J/HbyN+xt7Fnedznl3Mrdsa2syTInSZYQQgghhBDCzLrz63hv83sAfPPEN7Tyb3XX9tkjWTeSb5CQllDg8RV1dtYOQAghhBBCCGFdSimuJlzlRNQJTkSfYMLOCSgUIxuN5IUmL9zz/FL6UpR2Lk10cjQXbl6gYdmGhRB10SVJlhBCCCGEECVEdjJ1MvqkKaE6EX2Ck9EnSUxPNGvbsnxLvnnimzxfu7JnZS3JipUkS5IsIYQQQgghHmJpmWm8s+kd9lzbw8nok9xKv5VrOzsbO6p7VadW6Vo08G3AS01eumOhi9xU9qjM3mt7pfgFkmSJIkin07FixQp69uxp7VCEEEIIIYq9Hw79wIx9M0zP7WzsqOZVjdqla1O7dG1qla5FbZ/aVPWsir2t/X33Y6owKMUvpPBFSbZ7925sbW3p0qVLvs8NCAhgxowZlg/qHnQ63V0fQ4cOve9r5/WeAgICTP05OTkREBBA37592bJlS777HDp0qCSTQgghhCgwGcYMvtzzJQBvt36bE6NOkPReEidGnWBpn6V81PYj+tTuQ63StR4owQKpMHg7SbJKsLlz5/Lqq6+ya9cuQkNDrR1OnkRERJgeM2bMwM3NzezYV199VShxfPLJJ0RERHDmzBl+/vln3N3d6dChAxMmTCiU/oUQQggh8mJxyGJC40Mp41KG8W3HU6t0LRxsHQqkL9kr61+SZJVQSUlJLF26lJdeeonu3bszb968HG1WrlxJkyZNcHR0xNvbm169egHQtm1brly5wuuvv24a0QEYP348DRo0MLvGjBkzCAgIMD0/cOAAHTt2xNvbG4PBQJs2bTh8+HCe4/b19TU9DAYDOp3O7NiOHTto3Lgxjo6OVKpUiY8//pjMzEzT+ePHj6dChQro9Xr8/PwYPXr0Xe/pTkqVKoWvry8VKlTgscce44cffuCDDz7gww8/5MyZMwAYjUZGjBhBYGAgTk5OVK9e3SwJHD9+PPPnz+fPP/809blt2zYA3n77bapVq4azszOVKlXigw8+ICMjI8/vkxBCCCFElsri878/B2BMizE42jkWaH/ZI1lXE66Sbkwv0L6KOkmyLEgpRVJ6klUeSql8xbpkyRKqV69O9erVGThwIEFBQWbXWLNmDb169aJbt24cOXKEzZs306RJEwB+//13ypcvbxrNiYiIyHO/t27dYsiQIezcuZO9e/dStWpVunbtyq1buS/AzI/169czcOBARo8ezcmTJ5k9ezbz5s0zjS799ttvTJ8+ndmzZ3Pu3Dn++OMP6tat+8D3lO21115DKcWff/4JQFZWFuXLl2fp0qWcPHmSDz/8kPfee4+lS5cCMG7cOPr27UuXLl1MfbZqpe1BUapUKebNm8fJkyf56quv+PHHH5k+ffoDv0dCCCGEKDlWn13NyeiTuOndeKnJSwXeXxmXMrjYu5Clsrgcd7nA+yvKpPCFBSVnJOM6ydUqfSe+m4iLg0ue28+ZM4eBAwcC0KVLFxITE9m8eTMdOnQAYMKECfTv35+PP/7YdE79+vUB8PT0xNbW1jSakx+PP/642fPZs2fj4eHB9u3b6d69e76u9V8TJkzgnXfeYciQIQBUqlSJTz/9lLfeeouPPvqI0NBQfH196dChA/b29lSoUIFmzZo98D1l8/T0xMfHh8uXLwNgb29v9v4FBgaye/duli5dSt++fXF1dcXJyYm0tLQcff7f//2f6b8DAgIYO3YsS5Ys4a233rqv2IQQQghRsiilmLRrEgAvNXkJg6OhwPvU6XRU8qjE8ajjXLh5gWpe1Qq8z6JKRrJKoDNnzrB//3769+8PgJ2dHf369WPu3LmmNsHBwbRv397ifUdFRfHiiy9SrVo1DAYDBoOBxMREi6wJO3ToEJ988gmurq6mx8iRI4mIiCA5OZk+ffqQkpJCpUqVGDlyJCtWrDCbSmgJSimzqYazZs2iSZMmlC5dGldXV3788cc83etvv/3GI488gq+vL66urnzwwQfFZt2cEEIIIaxvZ+hO9l7bi95Wz5gWYwqtXyl+ocn3SNaOHTuYMmUKhw4dIiIiwqzUdkZGBv/3f//HX3/9xcWLFzEYDHTo0IHPP/8cPz8/0zXS0tIYN24cixYtIiUlhfbt2zNz5kzKly9vahMbG8vo0aNZuXIlAD169OCbb77B3d3d1CY0NJSXX36ZLVu24OTkxIABA/jyyy9xcPh3Md/x48d55ZVX2L9/P56enrzwwgt88MEH91xzcz+c7Z1JfDfx3g0LgLO9c57bzpkzh8zMTMqVK2c6ppTC3t6e2NhYPDw8cHJyyncMNjY2OaYt/ncd0dChQ4mOjmbGjBlUrFgRvV5Py5YtSU9/8Hm7WVlZfPzxx6a1Y7dzdHTE39+fM2fOsHHjRjZt2sSoUaOYMmUK27dvx97+warpAMTExBAdHU1gYCAAS5cu5fXXX2fq1Km0bNmSUqVKMWXKFPbt23fX6+zdu9c0iti5c2cMBgOLFy9m6tSpDxyjEEIIIUqGz3dpa7GGNRiGr+v9zdK5H1L8QpPvJCspKYn69eszbNgwnn76abPXkpOTOXz4MB988AH169cnNjaWMWPG0KNHDw4ePGhqN2bMGFatWsXixYvx8vJi7NixdO/enUOHDmFrawvAgAEDuHbtGuvWrQPg+eefZ9CgQaxatQrQigp069aN0qVLs2vXLmJiYhgyZAhKKb75RtuZOiEhgY4dO9KuXTsOHDjA2bNnGTp0KC4uLowdO/b+3rG70Ol0+ZqyZw2ZmZn8/PPPTJ06lU6dOpm99vTTT7NgwQJeeeUV6tWrx+bNmxk2bFiu13FwcMBoNJodK126NJGRkWajOcHBwWZtdu7cycyZM+natSsAV69e5caNGxa5t0aNGnHmzBmqVKlyxzZOTk706NGDHj168PLLL1OjRg2OHz9Oo0aNcr2n/Pjqq6+wsbEx/aPDzp07adWqFaNGjTK1uXDB/C+c3Pr8+++/qVixIu+//77p2JUrV+47LiGEEEKULEcjj7L2/FpsdDaMazWuUPuWvbL+oR4AoFasWHHXNvv371eAunLlilJKqbi4OGVvb68WL15sahMWFqZsbGzUunXrlFJKnTx5UgFq7969pjZ79uxRgDp9+rRSSqm//vpL2djYqLCwMFObRYsWKb1er+Lj45VSSs2cOVMZDAaVmppqajNp0iTl5+ensrKy8nSP8fHxCjBd83YpKSnq5MmTKiUlJU/XKgpWrFihHBwcVFxcXI7X3nvvPdWgQQOllFJbt25VNjY26sMPP1QnT55Ux44dU5MnTza17dixo+rRo4e6du2aio6OVkppPzedTqc+//xzdf78efXtt98qDw8PVbFiRdN5DRo0UB07dlQnT55Ue/fuVY8++qhycnJS06dPN7XJy+dKKaWCgoKUwWAwPV+3bp2ys7NTH330kQoJCVEnT55UixcvVu+//76p/U8//aSOHz+uLly4oN5//33l5OSkbty4ccd7yk3FihXVJ598oiIiIlRoaKjavn27GjlypOnes82YMUO5ubmpdevWqTNnzqj/+7//U25ubqp+/fqmNhMmTFAVKlRQp0+fVtHR0So9PV398ccfys7OTi1atEidP39effXVV8rT09PsXnNTHD+PQgghhLC8Z357RjEe1f+3/oXe9/rz6xXjUbW+q1XofReGu+UGtyvwNVnx8fHodDrTNL9Dhw6RkZFhNori5+dHnTp12L17NwB79uzBYDDQvHlzU5sWLVpgMBjM2tSpU8dsGmLnzp1JS0vj0KFDpjZt2rRBr9ebtQkPDzcVJyhp5syZQ4cOHTAYci5+fPrppwkODubw4cO0bduWZcuWsXLlSho0aMDjjz9uNs3tk08+4fLly1SuXJnSpUsDULNmTWbOnMl3331H/fr12b9/P+PGmf/rydy5c4mNjaVhw4YMGjSI0aNH4+PjY5F769y5M6tXr2bjxo00bdqUFi1aMG3aNCpWrAiAu7s7P/74I61btzaN1K1atQovL6873tOdfPjhh5QtW5YqVaowaNAg4uPj2bx5M2+//bapzYsvvkivXr3o168fzZs3JyYmxmxUC2DkyJFUr17dtG7r77//5qmnnuL111/nlVdeoUGDBuzevZsPPvjAIu+REEIIIR5uF2MvsuTEEkDbfLiwZY9kXYy9SJbKKvT+iwqdUvms/X37yTqd2Zqs/0pNTeWRRx6hRo0a/PrrrwAsXLiQYcOGkZaWZta2U6dOBAYGMnv2bCZOnMi8efM4e/asWZtq1aoxbNgw3n33XZ5//nkuX77Mhg0bzNro9XrmzZvHM888Q6dOnQgICOCHH34wvR4eHk65cuXYvXs3LVu2zBFzWlqaWWwJCQn4+/sTHx+Pm5tbjvu7dOkSgYGBODoW7L4DQtyLfB6FEEIIMWrNKL4/+D1dqnRh7bNrC73/DGMGThOcMCoj116/Rjm3cvc+qRhJSEjAYDDkmhvcrsBGsjIyMujfvz9ZWVnMnDnznu3Vf6qy5VaYwhJtsnPKOxW+mDRpkqnqncFgwN/f/56xCyGEEEIIYW2RiZHMPaJVi36n9TtWicHe1p6K7tosopK8LqtAkqyMjAz69u3LpUuX2Lhxo1mW5+vrS3p6OrGxsWbnREVFUaZMGVOb69ev57hudHS0WZvIyEiz12NjY8nIyLhrm6ioKABTm/969913iY+PNz2uXr2an1sXQgghhBDCKr7a+xVpxjRalG/BYxUfs1ocUmGwAJKs7ATr3LlzbNq0ybTeJVvjxo2xt7dn48aNpmMRERGEhITQqlUrAFq2bEl8fDz79+83tdm3bx/x8fFmbUJCQoiIiDC12bBhA3q9nsaNG5va7Nixw6w8+IYNG/Dz8yMgICDX+PV6PW5ubmYPIYQQQgghirL41HhmHtRmj73T+p0C2a4or6TC4H0kWYmJiQQHB5tKc1+6dIng4GBCQ0PJzMykd+/eHDx4kAULFmA0GomMjCQyMtKU6BgMBkaMGMHYsWPZvHkzR44cYeDAgdStW5cOHToAWgGFLl26MHLkSPbu3cvevXsZOXIk3bt3p3r16oC2hqtWrVoMGjSII0eOsHnzZsaNG8fIkSNNidGAAQPQ6/UMHTqUkJAQVqxYwcSJE3njjTes+sETQgghhBDCkmYdnEVCWgI1vWvyZPUnrRqLbEh8H/tkHTx4kHbt2pmev/HGGwAMGTKE8ePHmzYPbtCggdl5W7dupW3btgBMnz4dOzs7+vbta9qMeN68eaY9sgAWLFjA6NGjTVUIe/Towbfffmt63dbWljVr1jBq1Chat25tthlxNoPBwMaNG3n55Zdp0qQJHh4evPHGG6aYhRBCCCGEKO5SM1OZvnc6oFUUtNEVeAHxu5Lpgg9YXbAkuFsFEanmJooS+TwKIYQQJdPsg7N5cc2L+Lv5c370eRxsHawaz7Hrx6g/qz6eTp7EvBVj1VgszerVBYUQQgghhBAFKzMrky92fwHA2JZjrZ5gAVTyqATAzZSbxKXGWTcYK5EkSwghhBBCiGJq+cnlXIy9iJeTF881es7a4QDg6uBKGRetkndJnTIoSZYQQgghhBDFkFKKz//+HIDRzUfj4uBi5Yj+VdKLX0iSJYQQQgghRDG04cIGgiODcbF34eWmL1s7HDMlvfiFJFkl2O7du7G1taVLly45Xrt8+TI6nc70MBgMtGjRglWrVpm1mzdvHu7u7mbPdTodNWvWzHHNpUuXotPpct2jLCUlBQ8PDzw9PUlJSbln7OPHjzeLL/uxadOme994EbVt2zZ0Oh1xcXHWDkUIIYQQxcCkXZMAeL7x83g5e92jdeHKTrLO3zxv5UisQ5KsEmzu3Lm8+uqr7Nq1i9DQ0FzbbNq0iYiICPbt20ezZs14+umnCQkJuet1XVxciIqKYs+ePTn6q1ChQq7nLF++nDp16lCrVi1+//33PMVfu3ZtIiIizB6PPXZ/u5vfvmG1EEIIIURRt+fqHrZf2Y69jT1vtCx62xPJdEFRIiUlJbF06VJeeuklunfvzrx583Jt5+Xlha+vLzVq1GDChAlkZGSwdevWu17bzs6OAQMGMHfuXNOxa9eusW3bNgYMGJDrOXPmzGHgwIEMHDiQOXPm5Oke7Ozs8PX1NXs4OGgVdY4fP87jjz+Ok5MTXl5ePP/88yQmJprOHTp0KD179mTSpEn4+flRrVo1AMLCwujXrx8eHh54eXnx1FNPcfnyZbN+586dS+3atdHr9ZQtW5ZXXnnF9Nq0adOoW7cuLi4u+Pv7M2rUKLN+r1y5wpNPPomHhwcuLi7Url2bv/76i8uXL5v2n/Pw8ECn0zF06NA8vQ9CCCGEKHkm/z0ZgIH1BlLerbyVo8nJNF1QkizxwJSCpCTrPPK53dmSJUuoXr061atXZ+DAgQQFBXG3LdMyMjL48ccfAbC3t7/n9UeMGMGSJUtITk4GtGmEXbp0oUyZMjnaXrhwgT179tC3b1/69u3L7t27uXjxYr7u53bJycl06dIFDw8PDhw4wLJly9i0aZNZMgSwefNmTp06xcaNG1m9ejXJycm0a9cOV1dXduzYwa5du3B1daVLly6mka7vv/+el19+meeff57jx4+zcuVKqlSpYrqmjY0NX3/9NSEhIcyfP58tW7bw1ltvmV5/+eWXSUtLY8eOHRw/fpzJkyfj6uqKv78/y5cvB+DMmTNERETw1Vdf3fd7IIQQQoiH14YLG/jzzJ/o0PFmqzetHU6uskeywhLCSM1MtXI0VqDEXcXHxytAxcfH53gtJSVFnTx5UqWkpGgHEhOV0tKdwn8kJubrvlq1aqVmzJihlFIqIyNDeXt7q40bN5pev3TpkgKUk5OTcnFxUTY2NgpQAQEBKiYmxtQuKChIGQyGXJ83aNBAzZ8/X2VlZanKlSurP//8U02fPl1VrFjRLJb33ntP9ezZ0/T8qaeeUu+///5d4//oo4+UjY2NcnFxMT2aNm2qlFLqhx9+UB4eHirxtvdkzZo1ysbGRkVGRiqllBoyZIgqU6aMSktLM7WZM2eOql69usrKyjIdS0tLU05OTmr9+vVKKaX8/PzuGdvtli5dqry8vEzP69atq8aPH59r261btypAxcbG5vn6t8vxeRRCCCHEQyc+NV5VmF5BMR716l+vWjucO8rKylKuE10V41Eno05aOxyLuVtucDsZySqBzpw5w/79++nfvz+gTbvr16+f2fS+bEuWLOHIkSOmEZuffvoJT0/PPPUzfPhwgoKC2L59O4mJiXTt2jVHG6PRyPz58xk4cKDp2MCBA5k/fz5Go/Gu169evTrBwcGmR/ZI0KlTp6hfvz4uLv+WMW3dujVZWVmcOXPGdKxu3bqm6YUAhw4d4vz585QqVQpXV1dcXV3x9PQkNTWVCxcuEBUVRXh4OO3bt79jTFu3bqVjx46UK1eOUqVKMXjwYGJiYkhKSgJg9OjRfPbZZ7Ru3ZqPPvqIY8eO3eNdFEIIIYT411sb3yI0PpRA90AmtZ9k7XDuSKfTUcVTm+1TEqcM2lk7gIeKszPctv6m0PvOozlz5pCZmUm5cuVMx5RS2NvbExsbi4eHh+m4v78/VatWpWrVqri6uvL0009z8uRJfHx87tnPs88+y1tvvcX48eMZPHgwdnY5P27r1683rYO6ndFoZMOGDTzxxBN3vL6Dg4PZVL3b70Wn0+V6zu3Hb0/CALKysmjcuDELFizIcV7p0qWxsbn7v0lcuXKFrl278uKLL/Lpp5/i6enJrl27GDFiBBkZGQA899xzdO7cmTVr1rBhwwYmTZrE1KlTefXVV+96bSGEEEKILZe2MPvQbADm9JhTpPbFyk1lj8oERwbffxn39HS4eRMiI8HGBurVs2yABUhGsixJpwMXF+s87pBU/FdmZiY///wzU6dONRsFOnr0KBUrVsw1wcjWpk0b6tSpw4QJE/LUl6enJz169GD79u0MHz481zZz5syhf//+ZrEEBwfz7LPP5rkAxn/VqlWL4OBg0+gRwN9//42NjY2pwEVuGjVqxLlz5/Dx8aFKlSpmD4PBQKlSpQgICGDz5s25nn/w4EEyMzOZOnUqLVq0oFq1aoSHh+do5+/vz4svvsjvv//O2LFjTWvdskfV7jWCJ4QQQoiSJzE9kRErRwDwUpOXaBfYzsoR3dt9Fb8wGuHGDTh9GnbuhH374MwZuHWrgKIsGJJklTCrV68mNjaWESNGUKdOHbNH796975nYjB07ltmzZxMWFpan/ubNm8eNGzeoUaNGjteio6NZtWoVQ4YMyRHLkCFDWLlyJdHR0fm+x2effRZHR0eGDBlCSEgIW7du5dVXX2XQoEG5Ft64/Txvb2+eeuopdu7cyaVLl9i+fTuvvfYa165dA7T9uaZOncrXX3/NuXPnOHz4MN988w0AlStXJjMzk2+++YaLFy/yyy+/MGvWLLM+xowZw/r167l06RKHDx9my5Ytpj3FKlasiE6nY/Xq1URHR5tVJRRCCCFEyfbupne5HHeZioaKTO4w2drh5Emey7grBfHxcOEC/P037N6tJVkAZcvCbbOsigtJskqYOXPm0KFDBwwGQ47Xnn76aYKDgzl8+PAdz+/evTsBAQF5Hs3KLqGem59//hkXF5dc1zi1a9eOUqVK8csvv+Spn9s5Ozuzfv16bt68SdOmTenduzft27fn22+/ved5O3bsoEKFCvTq1YuaNWsyfPhwUlJScHNzA2DIkCHMmDGDmTNnUrt2bbp37865c+cAaNCgAdOmTWPy5MnUqVOHBQsWMGmS+Vxpo9HIyy+/TM2aNenSpQvVq1dn5syZAJQrV46PP/6Yd955hzJlyuSohiiEEEKIkmn75e18e0D7HvPjkz9SSl/KyhHljWkk607TBZOS4OpVbbTq77/h2DFITQUfH/D3B3d3sLUtvIAtSKdUPmt/lzAJCQkYDAbi4+NNX7SzpaamcunSJQIDA3F0dLRShEJo5PMohBBCPHySM5Kp9309LsRe4LmGz/Fjjx+tHVKeXY67TOBXgTjYOpD8XjK2NrbaqNWNGxAWBtevQ3Iy6PVgMMCdvr/ExGjLY1q3LtwbyMXdcoPbSeELIYQQQgghiqj3N7/PhdgLlHcrz5edvrR2OPni7+aPvY096cZ0wuKvUiHDGa5c0QpZKKUlVl5eea4tUJxIkiWEEEIIIUQR9Hfo33y17ytAmyZocMy53KMos7WxJcA9gHM3z3Fhz19UyCyvJVReXtro1UNM1mQJIYQQQghRxKRkpDB85XAUiqENhtKlShdrh5Q/mZkQHk5lnbY2/0LUaShdGvz8HvoEC2QkSwghhBBCiCLnw60fcjbmLGVdyzKt0zRrh5N3GRnaWqvLl+HGDSrbegNwwe4W/LNdTUkgSZYQQgghhBBFyL5r+5i2V0usZnefjYdTMShhnp6urbW6dAliY7XRqrJlqZxRFaLgQvI1a0dYqCTJEkIIIYQQoohIzUxl2J/DyFJZDKw3kCerP2ntkO4sM1NLqKKjISICEhLA2VmbEvhP6fXKzuUBSbKEEEIIIYQQVvLxto85deMUZVzK8FWXr6wdTk5GI8TFaWXYIyK0TYQBXF2hfHmwMS/5UNnlnyQr6RpKKXQPYSXB3EiSJYQQQgghRBFwMPwgU3ZPAeD7bt/j6eRp5Yj+kZWlJVY3b2r7W8XHa8dcXcHXF+zunFJUci4HQHxmIjcz4vFycC+cmK1MkiwhhBBCCCGsLC0zjWF/DsOojPSv05//1fyfdQPKytKm/8XEQHi4lmRlZmqJVZkyd02sbudk64ifvjThadFcSLpWYpIsKeFeENLTtd2rC+uRnm7tO34oXL58GZ1OR3BwsEWvs23bNnQ6HXFxcQDMmzcPd3f3B+pDCCGEEA+XL/7+gpCoEEo7l+abJ76xXiBZWRAVBYcOwd9/w7Fj2vfN0qWhQgXw9MxzgpXNNGUwv+uylIKzZ+GHH2DZsvyda2UykmVp6emwfz8kJhZen66u0KxZvspiRkZGMmnSJNasWcO1a9cwGAxUrVqVgQMHMnjwYJydnc3aT5w4kQ8++IAJEybwzjvvmL02b948hg0bZnru4+NDs2bN+Pzzz6ldu7bpeHp6OjNmzGDBggWcO3cOZ2dnqlevznPPPcfAgQOxt7dn6NChxMXF8ccff5j1sW3bNtq1a0dsbGyOBCU9PR0/Pz/GjBnD//3f/+W410mTJjF16lTCw8NxsHDp0Nzi9ff3JyIiAm9v71zP6devH127djU9Hz9+PH/88ccDJ3dCCCGEKL5+O/UbAJM7TMbbOffvEAUqK0tbZ3XlilYlECy2aXBl5/LsvHkk70nW9euwbh389RdcuKAdK1cOpk/XNjMuBiTJsrTMTC3BcnAonI3W0tK0/jIz85xkXbx4kdatW+Pu7s7EiROpW7cumZmZnD17lrlz5+Ln50ePHj3MzgkKCuKtt95i7ty5OZIsADc3N86cOYNSirCwMN566y26devG2bNncXBwID09nc6dO3P06FE+/fRTWrdujZubG3v37uXLL7+kYcOGNGjQ4L7eAgcHBwYOHMi8efN4//33cyyoDAoKYtCgQRZPsO7E1tYWX1/fO77u5OSEk5NTocQihBBCiKLPmGXkbMxZAB6r+Fjhdq6UllxdvqwVstDpwNvbontaVXbR1mVdSAq7c6OkJNiyBdauhQMHtLhAi6N5c+jWTTsmSVYJp9eDo2Ph9JXP6YKjRo3Czs6OgwcP4uLiYjpet25dnn76aVT2h/of27dvJyUlhU8++YSff/6ZHTt28Nhj5n8B6HQ6U2JRtmxZXn/9dXr06MGZM2eoW7cuM2bMYMeOHRw8eJCGDRuazqtUqRJ9+vQh/QGnPI4YMYKvvvqKHTt20KZNG9PxnTt3cu7cOUaMGEFWVhafffYZP/zwA9HR0dSsWZPPP/+cLl1y30HdaDTy/PPPs2XLFiIjI6lQoQKjRo3itddeA7QRqPnz55vuH2Dr1q0EBAQQGBjIkSNHck0c582bx5gxY4iLi2PevHl8/PHHZtcICgpix44dREVFsXr1atN5mZmZlC9fnokTJzJ8+PAHer+EEEIIUXSExoeSmpmKg60DAe4BhdNpdnIVGqoVs8hOrgpgkOCOZdwzM2HvXi2x2rZNGzzI1rAhdO0KHTpo33VdXHJULizKJMkqYWJiYtiwYQMTJ040S7Bu99+RoDlz5vDMM89gb2/PM888w5w5c3IkWbeLi4tj4cKFANjb2wOwYMECOnToYJZgZbO3tze1u19169aladOmBAUFmSVZc+fOpVmzZtSpU4fp06czdepUZs+eTcOGDZk7dy49evTgxIkTVK1aNcc1s7KyKF++PEuXLsXb25vdu3fz/PPPU7ZsWfr27cu4ceM4deoUCQkJBAUFAeDp6Ul4eHie4+7Xrx8hISGsW7eOTZs2AWAwGKhWrRqPPfYYERERlC1bFoC//vqLxMRE+vbt+yBvlRBCCCGKmNM3TgNQzasatja2BdvZ7clV9neWAkquspmSrKR/kqxz52DlSli/XqtYmK1iRS2xeuIJba+tbDExBRZbQZEkq4Q5f/48SimqV69udtzb25vU1FQAXn75ZSZPngxAQkICy5cvZ/fu3QAMHDiQ1q1b88033+Dm5mY6Pz4+HldXV5RSJCcnA9CjRw9q1KgBwLlz52jbtm2eYly9ejWurq5mx4xG4z3PGz58OOPGjePbb7/F1dWVxMREli1bxrRp2o7pX375JW+//Tb9+/cHYPLkyWzdupUZM2bw3Xff5bievb29aZQJIDAwkN27d7N06VL69u2Lq6srTk5OpKWl3XV64N04OTnh6uqKnZ2d2TVatWpF9erV+eWXX3jrrbcAbYSrT58+Od4bIYQQQhRvp26cAqCGd42C6yQrS0torlz5N7my0Jqre8kufFHhfDTGVa9iu3vPvy96eECnTlpyVatWsZkOeC/FZ8xNWNR/R6v2799PcHAwtWvXJu22odqFCxdSqVIl6tevD0CDBg2oVKkSixcvNju/VKlSBAcHc+jQIWbNmkXlypWZNWuW6fX8bD7Xrl07goODzR4//fTTPc975plnyMrKYsmSJQAsWbIEpRT9+/cnISGB8PBwWrdubXZO69atOXXq1B2vOWvWLJo0aULp0qVxdXXlxx9/JDQ0NE/38aCee+450whZVFQUa9askWmCQgghxEMoeySrpndNy17YaNQSqwsXYPdu2LNHmxro6amNFBVG/QCl8Dxyhu3zbdkzBy3BsrGB9u1hxgxtquCbb0Lt2g9NggUyklXiVKlSBZ1Ox+nTp82OV6pUCSBHQYa5c+dy4sQJ7G4r1ZmVlcWcOXN4/vnnTcdsbGyoUqUKADVq1CAyMpJ+/fqxY8cOAKpVq3bXZOZ2Li4upmtlu3bt3tVoDAYDvXv3JigoiBEjRhAUFETv3r1xc3MjISEByJlc3i35W7p0Ka+//jpTp06lZcuWlCpViilTprBv37483ceDGjx4MO+88w579uxhz549BAQE8OijjxZK30IIIYQoPNlJlkVGsjIytM2CY2K0KoEJCVqy5eRk8YIWd6UU7NoFc+eiO36cx4B0G4jo0IyKL70L/v6FE4eVyEhWCePl5UXHjh359ttvSUpKumvb48ePc/DgQbZt22Y2qrRjxw4OHDhASEjIHc99/fXXOXr0KCtWrABgwIABbNq0iSNHjuRom5mZec9Y8mrEiBH8/fffrF69mr///psRI0YAWvVDPz8/du3aZdZ+9+7d1KyZ+78a7dy5k1atWjFq1CgaNmxIlSpVuJBdRvQfDg4OeZrKeDd3uoaXlxc9e/YkKCiIoKAgszL5QgghhHh4PHCSlZamlT0/eRJ27tRGrU6d0gpGlC6tJTSFlWAZjbBxIzz7LLz+Ohw/Dno9a9v5U/k1+P251g99ggWSZJVIM2fOJDMzkyZNmrBkyRJOnTrFmTNn+PXXXzl9+jS2ttqCyzlz5tCsWTMee+wx6tSpY3o88sgjtGzZkjlz5tyxDzc3N5577jk++ugjlFKMGTOG1q1b0759e7777juOHj3KxYsXWbp0Kc2bN+fcuXMWubc2bdpQpUoVBg8eTJUqVcwKdLz55ptMnjyZJUuWcObMGd555x2Cg4NN1QL/q0qVKhw8eJD169dz9uxZPvjgAw4cOGDWJiAggGPHjnHmzBlu3LhBRkZGvmMOCAjg0qVLBAcHc+PGDbPpms899xzz58/n1KlTDBkyJN/XFkIIIUTRFpMcQ3RyNKAVvsizzEyt5PrRo9qI0Z49WkEJpaBMGS2R8fSEBywulq94Vq+Gvn3h3Xe1TYSdnWHwYFi5kh3D23PNAOeT8rkhcTEl0wULyu0lKItYP5UrV+bIkSNMnDiRd999l2vXrqHX66lVqxbjxo1j1KhRpKen8+uvv/L222/neo2nn36aSZMmmQpk5Oa1117j66+/ZtmyZfTt25eNGzcyffp0Zs+ezbhx43B2dqZmzZqMHj2aOnXq5Ps+7mT48OG89957vPnmm2bHR48eTUJCAmPHjiUqKopatWqxcuXKXCsLArz44osEBwfTr18/dDodzzzzDKNGjWLt2rWmNiNHjmTbtm00adKExMREUwn3/Hj66af5/fffadeuHXFxcQQFBTF06FAAOnToQNmyZalduzZ+t1fZEUIIIcRD4UzMGQD83fxxdchDcausLG3U6vJl7U8bGyhVStus1xolziMitJGr3377t6BGqVLQv7/2MBgAqJx0hzLueTA3aj29ynfE3VIxFwKd+u+mSMJMQkICBoOB+Ph4s2p6AKmpqVy6dInAwEAcs/fESk+H/fu1DYILi6srNGtWeHNsRaFJTk7Gz8+PuXPn0qtXr7u2zfXzKIQQQogibc7hOTy36jk6Ve7E+oHr79zw9k2Dw8PBzk6bAmhnhTGTGzdg0ybYsAGOHfv3uKcnDBgAvXtr309vs/XGQR7f+yJVnP059/iKPHf1W/gm+hx+h0pOfhwbcxYXh9y3ICosd8sNbicjWZbm4KAlPJmZhdennZ0kWA+ZrKwsIiMjmTp1KgaDgR49elg7JCGEEEIUANN6LK+7rMeKjdWSq+xCYGXKFN40wGxxcbB1q5ZYHTqkjaiBVhGwYUPo3Bm6dYM7/ENvdhn3yynhZGZlYmdz7zTkQtI1Rhz7FIA+Pu2snmDlhyRZBcHBQZIe8UBCQ0MJDAykfPnyzJs3z6y6oxBCCCEeHqdj7lL0IiFB29fq6lWtaqC39x2TmAKRmAjbtmmJ1b59WlGLbHXravtbdeigFde4h3KOpXGwsSc9K4OrqdcJdC531/ZpxnT6HX6XhMwkWpWqxaeVRz7gzRQu+eYmRBEUEBCAzOQVQgghHn65VhZMStISqytXICVF2zTY2bnwgjpyBBYuhL//1pbCZKtWTUusOnbU1oDlg63OlkAnP84kXeFC0rV7JllvnfqaQ/Gn8LQ3sLjqu9jnYeSrKCle0QohhBBCCPGQSMtM42LsReCfJCslRVtvdekS3LqlrXHy9i68gIKD4YcftPoC2QICtKmAHTtq//0AKruU15Ks5Gt0oPkd2/0RuY2vLy8GYH6D8fjb+TxQv9YgSZYFyIiDKArkcyiEEEIUL+dunCFLZeFmXwrfs+FwM0RLrgwGrQS7Tlc4gRw7BrNna1MCQVvv36MH9OkDVapYLI7Kzv9UGLxLGffLyeEMO/oxAGMrDaR7mUe1QhvFjCRZD8D+nwWHycnJODk5WTkaUdIlJycD/34uhRBCCFEEpaZCfDzExXH6mFZlr6adL7rISHBxgQoVCi+5CgnRkqs9e7TntrZacjV8OJQta/HuTEnWHcq4p2dl0P/we8Rl3KKZoRYTfZ6B0FCt1kGpUhaPpyBJkvUAbG1tcXd3JyoqCgBnZ2d0hfVLIcQ/lFIkJycTFRWFu7u7aTNpIYQQQhQBRqM2OhUfD9HRcPOmNi0QOH3rEgA1vKqDr2/hxXTihJZc7d6tPbe1he7dteQqn2ut8iO7wuCF5LBcX3/v1LfsiwvB3daFJeXG4ODoApWraVMm/9lvq7iQJOsB+f7zC5GdaAlhLe7u7qbPoxBCCCGsLC1NK7l+7ZqWZGVkaCMyrq7g4QE2NpyO1r4/1nANKJyYTp3Skqtdu7TntrbQtSuMGAHlyxd491Vc/AFtuqBSShucUAqSk1kduomplxYAENR8EgENemrvUzGtsFw8oy5CdDodZcuWxcfHh4yMDGuHI0ooe3t7GcESQgghigKjESIj4fx5iInRprl5eeW6vc/pxMtAASdZt25pSdW6dVq1QAAbm3+TK3//guv7PwKd/NChI9GYTPStSHxSbCA1lat2yQwJ/RqA0Y1fpmfHVwstpoKS7yRrx44dTJkyhUOHDhEREcGKFSvo2bOn6XWlFB9//DE//PADsbGxNG/enO+++47atWub2qSlpTFu3DgWLVpESkoK7du3Z+bMmZS/LYOOjY1l9OjRrFy5EoAePXrwzTff4O7ubmoTGhrKyy+/zJYtW3BycmLAgAF8+eWXONz2IT5+/DivvPIK+/fvx9PTkxdeeIEPPvjA4tP6bG1t5UuuEEIIIURJFhMDFy9qFQL1ei2BsbHJtWmWyiq4JOvGDdi+Xdvj6sAByMzUjtvYQJcu8Nxz2tqvQqa3daC8vjRX06K4EHUan4qPkOFbmv4bB3IzI57GZRvzRZephR5XQch3kpWUlET9+vUZNmwYTz/9dI7Xv/jiC6ZNm8a8efOoVq0an332GR07duTMmTOU+mfB2pgxY1i1ahWLFy/Gy8uLsWPH0r17dw4dOmRKVAYMGMC1a9dYt24dAM8//zyDBg1i1apVABiNRrp160bp0qXZtWsXMTExDBkyBKUU33zzDQAJCQl07NiRdu3aceDAAc6ePcvQoUNxcXFh7Nix9/eOCSGEEEIIcbvERK3semioNpJVpgzcoxBVWGoUScYU7HS2poIQD+TaNS2p2rIFjh/XpuFlCwyEtm2hW7cHLsN+3xITITaWyg6+WpLl70rL5s35cPN77A7fi5vejaV9lqK301snPgvLd5L1xBNP8MQTT+T6mlKKGTNm8P7779OrVy8A5s+fT5kyZVi4cCEvvPAC8fHxzJkzh19++YUOHToA8Ouvv+Lv78+mTZvo3Lkzp06dYt26dezdu5fmzbUa+j/++CMtW7bkzJkzVK9enQ0bNnDy5EmuXr2Kn58fAFOnTmXo0KFMmDABNzc3FixYQGpqKvPmzUOv11OnTh3Onj3LtGnTeOONN6RIhRBCCCGEuH/p6Vpyc+GClkR4e+d50+DsUawqLv73t9GuUnDuHGzdqiVX586Zv167NrRrpyVX1kqsQJuuGBurvS9Vq1I5sz7bThzjQvp11l1Yz+d/fw7AT0/+RCWPStaL08JyH7+8T5cuXSIyMpJOnTqZjun1etq0acPuf6qXHDp0iIyMDLM2fn5+1KlTx9Rmz549GAwGU4IF0KJFCwwGg1mbOnXqmBIsgM6dO5OWlsahQ4dMbdq0aYNerzdrEx4ezuXLly1560IIIYQQoqTIytKmBO7bp23ga2OjTb/LY4IFt63HcgnIX99KwY4d8MwzMGAA/PijlmDZ2kLTpvDmm7BmDcyfD0OHWifBUkqrphgaqiWiNWtCy5ZQuzaVy9QEYNfVXQxaMQiAl5q8RJ/afQo/zgJk0cIXkZGRAJQpU8bseJkyZbhy5YqpjYODAx4eHjnaZJ8fGRmJj0/OnZ19fHzM2vy3Hw8PDxwcHMzaBPzng5V9TmRkJIGBgTn6SEtLIy0tzfQ8ISHh7jcthBBCiIfemchbBP19CYOzPS0qedGkogelHGVfwhJHKW1U5sIFLclycNCq8t3HuvzTidp343ytxwoOhm++gaNHted6PTRvDo8/Do88ArfVLrCK7OQqPl4r+FG7Nvj5aRUV/1HZszIAmy5uAqCBbwOmdZ5mlXALUoFUF/zvNDxTica7+G+b3Npboo36Z37qneKZNGkSH3/88V1jFUIIIUTJoJRi8YGrjF95grTMLABmb7+IrY2OOn5utKjkpSVdAZJ0PZSysiApSZsKmJCg7XMVH68VkvDxybViYF6dSvxnj6y8JFnnz8N338HOndpzvV4byRo8GNzc7jsGi8nM1N6XxERtP6t69bTkKpeRvcoelU3/7ergytLeS3G0cyzMaAuFRZOs7D16IiMjKXvbLtFRUVGmESRfX1/S09OJjY01G82KioqiVatWpjbXr1/Pcf3o6Giz6+zbt8/s9djYWDIyMszaZI9q3d4P5Bxty/buu+/yxhtvmJ4nJCTgX4ilLYUQQghRNCSkZvDe78dZfSwCgEeqeOPn7sjeizcJvZnM0WvxHL0Wz+wdF7HRQZ1yhn+SLk+aBHjiJklX8ZOZqSUKiYkQF6dVC0xK0va8srEBR0dttMjxwZOC7OmCNe+WZIWHw6xZsHatNkpkawtPPQUjR0Lp0g8cwwPJfq9u3QKdTntfqlSBsmXByemOp1XxrIKtzhajMvJD9x+o6lW18GIuRBZNsgIDA/H19WXjxo00bNgQgPT0dLZv387kyZMBaNy4Mfb29mzcuJG+ffsCEBERQUhICF988QUALVu2JD4+nv3799OsWTMA9u3bR3x8vCkRa9myJRMmTCAiIsKU0G3YsAG9Xk/jxo1Nbd577z3S09NNZd03bNiAn59fjmmE2fR6vdkaLiGEEEKUPMeuxfHKwiOE3kzGzkbHuM7Vef7RStjYaDNhwuNS2Hcphr0XbrL3UgxXYpI5di2eY9fi+eGfpKu+vzsz+jWgopeLle9G3FH29L9bt+DmTe2RkqJtHGxrq43EGAwWSapuF5+RSETaDQCq55ZkxcbCnDnw22//ll/v0AFeegkqVrRoLPliNGrvVWKi9rxUKahRQyv44e6ep42DDY4GfvnfL6Qb03mm7jMFG68V6ZS6vb7jvSUmJnL+/HkAGjZsyLRp02jXrh2enp5UqFCByZMnM2nSJIKCgqhatSoTJ05k27ZtZiXcX3rpJVavXs28efPw9PRk3LhxxMTEmJVwf+KJJwgPD2f27NmAVsK9YsWKZiXcGzRoQJkyZZgyZQo3b95k6NCh9OzZ01TCPT4+nurVq/P444/z3nvvce7cOYYOHcqHH36Y5xLuCQkJGAwG4uPjcSsKw7FCCCGEKDBKKebsusTkdafJMCrKuTvxzYCGNKrgcdfzIuJT2HfxJnsvxrDv0k0u3UgCYGirAMb3qH3Xc4WVJCVpe1plF2dwcNBGYJyd71l+/UHtjw2h+d9DKav3JrzjOvOYFiyAX3+F5GTtWLNm8MorUKtWgcZ0R1lZ/06XVEpLrMqW1RIrD48Cf6+KmrzmBvkeyTp48CDt2rUzPc+eWjdkyBDmzZvHW2+9RUpKCqNGjTJtRrxhwwZTggUwffp07Ozs6Nu3r2kz4nnz5plt5rtgwQJGjx5tqkLYo0cPvv32W9Prtra2rFmzhlGjRtG6dWuzzYizGQwGNm7cyMsvv0yTJk3w8PDgjTfeMJsOKIQQQggBcDMpnTeXHWXzaW1pQZfavkx+uh4G53t/iSxrcKJnw3L0bFgOgHUhEbz462HWHI/gg+61sLWRbWOKDKNRm4Z39qyWOPj4WHyk6l5OJ10G/lmPlZmpFbLYswf+/FMbxQKtIt8rr2iFLawhKUmbMpmVpSVWlSpp75WHxwOtRSsp8j2SVdLISJYQQgjx8Nt3MYbXFgcTmZCKg50NH3SrycAWFe97T830zCyaTthEfEoGC0c2p1VlbwtHLO5LXJxW7jwsTBux8vTU1hMVss93TebC5mW8HOZHgzPxWkKTrUIFGDVKqxhoY9HdlvImKUmbNunoCL6+2sbKnp5asQ1RcCNZQgghhBAPC2OW4tst5/lq81myFFTyduGbAQ2p7Wd4oOs62NnQpbYvSw5eZfWxCEmyrC09XZsWeOECpKZqyUNhTnNLT4cjR7TRqt27eefixX9eCNf+cHfX9pFq3Vpbe5WHtU0Wl51c6fVQubKW7Bke7PegJJMkSwghhBAl0vWEVMYsDmbPxRgAejUqx6dP1cFFb5mvR93rl2XJwausPR7Bxz1qY29rhVGJkk4prez6+fMQGalNdfMupIQ3KQn++gt274YDB7Tk7h9GHewtD2XadqNKh77a1EBrjFqBtvYrJubf5Mrf3/r7bT0EJMkSQgghRImRmJbJtjNRrAuJZOvpKJLSjTg72PLpU3V4unF5i/bVspIXXi4OxCSl8/f5G7St7mPR64t7SEnRCltcuqRNCbzPTYPzLSsL1qyBb7/Vkpds3t7QsiWZLZrjl/Ah0U5ZhLZ/CZx8Cz6m3NyeXFWqpI1cSXJlMZJkCSGEEOKhFpuUzqZT11l/IpId526Q/s+mwgC1/dz4+pmGVC7tavF+7Wxt6Fq3LL/svcLqYxGSZBWWrCyIiNAKW8TGavtJ5bIpboEIDoZp0+DkSe15+fLQsye0agVVq4JOx4XEy0Rvy8LF1olyjlb4TKSkaMmVvb0kVwVIkiwhhBBCPHSuJ6Sy4UQk605EsvfiTYxZ/9b5CvBypkudsnSp40u9cgbT3lcFoXs9LclafyKSCf+rg96uEEZSSpLMTC1pSE3V/szeRDgqSivHXqFC4RS2iIyEr7+GDRu05y4uMGIE9O+foxLfqX82Ia7uWhEbXSFNEczK0qYvxsdryVVAgPbeeNx9awJx/yTJEkIIIcRD4WZSOr8dusq6kEgOh8aZvVazrBtdavvSpY4v1cq43nfVwPxqGuBJGTc91xPS2HH2Bh1rlSmUfh86WVlaEpX9SE7WkqnEREhL0wpLgLauSa/XKuIVRpnxlBT4+WftkZamJXRPPaVtGuzllespp/9Jsmq6BhZsbEaj9v7cuqWtTXN1leSqEEmSJYQQQohiz5il6P/DHs5eTzQda1TBnS51fOlc25eKXi5WicvGRkf3en7M2XWJVUfDJcnKr4wMuHwZrl3Tkpi0NC3hyk6m9HptqpuDQ+GWYlcK1q2Db77RRs0AGjWCN96AGjXuemp2klXDtaLl48rM1JKq7JLwrq5aMQtvb+19KuT9wEoySbKEEEIIUextOnWds9cTcXO0483O1elU25cybkXjC2X3emWZs+sSm05dJyXdiJODTBnMk7g4OHNG29PKzU3bENfLy3pV+LKFhMDUqXD8uPbczw9Gj4b27fOU6JmSLJcAy8STnv5vYmVrq5Vdr15de6/c3Qu3VL0wkSRLCCGEEMXe3F2XAHi2RUUGtQywbjD/0cDfnfIeTlyLTWHL6Si61Str7ZCs6nridaKSoqhbpm7uDbKy4OpVLcFKSYFy5ayzb1Q2pSA8XCtqsWsXbNyoHXdygmHD4Nln87xRr1LqtpGsgAeLKyFBS0QdHLQktFIlbRqgwWDd90sAkmQJIYQQopg7ER7Pvks3sbXRMbhlAUzBekA6nY4n6/vx/bYLrDoaXqKTrD9O/0G/3/rR0Lche5/bm7NBUpJWFfDKFW3kqrxly+rnidGo7asVHPzvIzravE23bvDKK1rlwny4nhZDfGYiNthQ1aXC/cWXmKhtGuziArVrg4+PlmRZe4RPmJEkSwghhBDFWtDflwHoWrcsZQ1O1g3mDrrXK8v32y6w5UwUt1IzKOVYMqdwtSzfEoB9YfvYc3UPLf215yilVeg7c0Yru16mTJ5Hhx5YaiqcOKElU0ePao/sNU3Z7Oy0DYMbNICOHaFWrfvqKruyYCXncuht81mYIzVVS/YcHaFaNahYUVtzJYokSbKEEEIIUWxF30pjZXA4AMNbB1g3mLuoVdaNSqVduBidxKZT1/lfQyuM0BQBZVzL8GzdZwkKDmL63ulakpWWpo0cXbigTX3z9y+cIhZhYTB9ujYFMDPT/DUXF6hXD+rXh4YNtREjCxSNuK+pgmlpcOOGtt4qIEB7yL5WRZ4kWUIIIYQothbsu0K6MYuGFdxpWKHolqXW6XQ8Wc+PrzafY9XRiBKbZAG83uJ1goKDWH5qOVcuHqFieJJWoc/HR1vnVNAyM2HhQpg9W0tgQKu+17ChllQ1aKBtHGxr+QIl+UqyMjO1kSultHVpAQHg6Vm4VRTFfZMkSwghhBDFUlqmkV/3XgFgeOsC3nPIAp6sX5avNp9jx9lo4pLTcXcuhH2ciqC6ZerSPuBxNl/ewjcbP+PLcsO0tVcFkNTkcOIETJigrfsCrez6m29ClSqFkrycTroM3KN8u9EIMTFa1cAyZSAwUFv7JWuuihX5aQkhhBCiWFp1NIIbiemUNTjSpY6vtcO5pyo+pajhW4rMLMX6E5HWDsd60tJ43bs7AD9Gr+dWabeCT7CSkmDKFBg6VEuw3Nzgww+10ayqVQttdOiuI1mpqdq0wLAwrehH06bao0wZSbCKIfmJCSGEEKLYUUqZyrYPalkRe9vi8ZXmyfp+gJYgllhJSTyREUB1lwokGJMIurqqYPvbtg369IElS7Spd088Ab/9Bj16FOrUu8TMZEJTtOS6hmuANh0wIUErDx8aqv23iws0bgzNm2v7bxXG6J4oEMXjbyQhhBBCiNvsu3STkxEJONrb8EzT+yyFbQXd/ynfvvvCDW4kplk5Guux0dnwWkB/AL66tAijMlq+k+vXYdw47REVpU1J/PZb+PRTbW1TITubFApAaTsDXpEJWjXFrCyoUEEbsXrkEWjdWnsuGwgXe5JkCSGEEKLYyR7F6tWoPB4uxWdtU0UvF+qXN5ClYO3xEjyaBQwu1w0PezcuJoex6vpOy13YaITFi6FvX20Uy9ZW2zR48WJo0cJy/eQ1lvh4CAvj9OWDwD+jWPXqaQnVo49qxTbKl9emCEpRi4eGJFlCCCGEKFZCY5LZeOo6AMNaBVg3mPvQvd6DTxkMj0shMS3z3g2LMBc7J16o0AuA6RcXPtjFUlPh9GlYswaGD4cvv9TWYdWrBwsWwMsvW6QEe54ppW0YHBamPQ8M5LS3AqBGpaZQubJW0dCh+PwDgcgfqS4ohBBCiGJl3u7LKAWPVStN1TKlrB1OvnWrV5YJf53iwJWbRMSn5HsD5ZVHw3l9STBeLg789mIrKng5F1CkBe+VgL58efEXdtw8zOH40zQy1Lj7CZmZcO3av/tqZf957Zo29S6biwu8+ir06lX4RSMSE7XqgAaDVr2wbFlwcOD0aW0/txreNQs3HmEVkmQJIYQQoti4lZrB0oNXgaK9+fDd+Lk70TTAgwOXY1lzLILnHq2U53NXHg1nzOIjZCmIupXGs3P28tuLrSjjVoijNBZUzsmHvmU7sjB8HdMvLuCXhp+aN7h1C/78E86c0ZKpS5cgIyP3ixkMWin2GjVg4ECt7HlhSkvT9rVycICaNaFiRXD+NwE+deMUADW875FIioeCJFlCCCGEKDZ+O3SNxLRMKpd24bGqhfwl2oK61/PjwOVYVuUjybo9werZwI/gq3Fcjklm4E/7WPpCy2K1Nu12r1cawMLwdSwO38DkmqPxc/zn53rwIHz0kVbA4nZOTtp0u/8+vLyss6bJaNRKr2dmamurKlUCD/ONsY1ZRs7GaHtz1ZSRrBJBkiwhhBBCFAvGLMW83ZcBGNY6EBub4lsk4Im6vny86gRHr8Zx9WYy/p53n/K36rYEq0/j8kx+uh5hcSn0mbWHc1GJDAnaz4LnmlPKsfhVpWviXotHPBuw62Yw311eyoRKI2HWLPjlF21tU/ny8NRT/yZTZcsWjX2jlIK4OK30uo+PFtsd9rS6HHeZdGM6jnaOVDAUn2qY4v4VgU+oEEIIIcS9bTkdxZWYZAxO9vRqVM7a4TwQn1KOtKzsBcCqY+F3bbvqaDiv/SfBsrHR4e/pzK/PNcPD2Z5j1+IZ+fNBUjMKoBR6IXg9cAAAW/cvI2vIYPj5Zy2J+d//YOFCrTrgY49BuXJFI8FKStL2ttLptHVXzZvfNfk7feM0ANW8qmFrI3tflQRF4FMqhBBCCHFv2WXbn2lWAWeH4j8ZJy9VBlcdDWfMkuAcCVa2Kj6l+Hl4c1z1duy9eJNXFh4mw5h1x+sVVU/5PMr4wwa2fJeIzbnz4O6uVQh8/32zdU1WZTRqRS2uXdP+rF5dKwkfEHDPfa2ykyxZj1VySJIlhBBCiCLvZHgCey7GYGujY3DLitYOxyK61PbFzkbHqYgEzkcl5nh99TEtwTJmKXrnkmBlq1vewJwhTdDb2bDpVBTjlh0lK0sVxi1YRnQ0tqPH8NHKeByNsKOGE1mLFkLbttaNKyND2+MqMlIbtYqIgPR0bfpiixZQu7ZWxTAPTEUvvCTJKikkyRJCCCFEkRf0tzaK9UQdX/zc81fyvKjycHHg0aregJZQ3W71sXBeW3zvBCtb80pefD+wEXY2Ov4MDufDlSEoVQwSrc2boX9/2LcP5eDAG0860KZfCuvVucKPJTUVYmO1va1CQ7ViFkqBn582JfCRR7Qpi40bg6dnvi6dPZJVs7QUvSgpJMkSQgghRJF2IzGNP4O1JGRY60ArR2NZ/04ZDDclRWuORZgSrKcbaQmWbR6KfDxeowzT+jVAp4Nf94YyZf2ZAo39gSQnwyefwNtva6NFNWqgW7AAevcGnQU2J86r1FRt+l9oqBaHvb1WHbBpUy2patMGGjbUyrF7eYFef1/dyHTBkqf4T2gWQgghxENtwd5Q0o1Z1Pd3p1EFd2uHY1Eda5fBYYUNF6KTOB15i4vRSYxefMSUYH3RO28JVrYe9f1ITM3kvRXHmbntAm5O9rzYpnIB3sF92LsXxoyBqCitcMTQofD882Bvz+jk/nx1aTEbb+wjJOE8ddyqFEwMWVnaSFVGhpZAlSkDrq7a9D8LF9a4kXyDmJQYQCt8IUoGSbKEEEIIUWSlZRr5dd8VQNt8WGeNfZAKkJujPW2rlWbDyet89OcJDoXG3neClW1A8wokpGbw+drTfL72NG6O9gxofu+y4SnpRi7HJHHpRhLXE1KxtdFhZ2ODva0Oe1sb7P750942+/g///3Pn1V8XNHb3aNy3tKl8MwzWpJTtqw2mtWwoenlAGc//ufbluWRW5hxaRE/1f8g3/d/T4mJEBOjjUxVqwa+vgW6v1b2KFZFQ0Wc7YtIEQ9R4CTJEkIIIUSRteZYBNG30ijjpqdr3bLWDqdAPFnfjw0nr7P/8k0AejUqd98JVrYX21QmISWDmdsu8P4fx3F1tKNHfT/SMo1cvZnMxeikfxKqZC7dSOTyjWQiE1If6D62jWtLgPc9CkG0b6/tKVWzJnzwAbi55WjyeqUBLI/cwq9ha5lY42V89Plb/3RHmZna6JmtLdSqpVUFdHS0zLXv4lT0P0UvZKpgiSJJlhBCCCGKJKUUc/4p2z64ZQD2tg/nUvL2NX1wdrAlOd1Ir0blmNK7/gMlWNne7FydhNQMft0byhtLgvli3WnC41K4W+FBd2d7ArxcKOfuRJZSZBgVmVlZZBoV6cYsMo1ZZGYp0jO1PzONWWQYFRnGLBzs8vDz8fKC7dvh1Cltel4uWnnUp6mhFgfiTzLrynI+rDbyPt+B22RvGly2LFStqsVRSExFL7yl6EVJIkmWEEIIIQpUVpZi76UYlh8KY+PJSIxZCme9HS4Otjg72OGqt8NZb4uLgx3ODra46LU/0zOzOBGegN7OhgHN7j3drbhydrBj5rONuHQjicEtAyySYAHodDo+6VGHW6mZ/BkczrXYFABc9XYEeDsT4OVCJW8XAv55BHq54OHiYJG+78rb+55xv15pAAOO/B8zr/zG25WHoLe9z7jS0rTRK2dnqF8fKlQAu8L9+ns6RopelESSZAkhhBCiQFy+kcTvh6+x/HAYYXEpZq8lpRuJzuN1ejUqXzhf/q2obXUf2la3/HVtbHRM7VOfHvX9KOVoT4C3M6Vd9UV+bVvvsh1469Q3XEu9zqLw9Qz1fzJ/F1BKW3eVmqoVtqhcOdepiYVBKguWTJJkCSGEEMJiElIz+OtYBMsPX+PA5VjT8VJ6O7rXL8v/GpanjJuepDQjyemZJKUbSU7T/kxKyyQpPZPkNKPpTxsbHW90lIpsD8LO1ob2NctYO4x8sbex45WAPrxz+lumX1zIkPLd85YYZmZCSgrcvKntZVWnjjZF0MIVA/MqNTOVS7HalFdJskoWSbKEEEII8UCMWYq/z99g+eFrrAuJJC0zCwAbHTxStTRPNypH59q+ONrfo/KcELd5vkIvPjn3E8dunWNLzAHaezf790WjUZsKmJ6ujVZlZGjHbW21YhbVq2v7XTlZd+PqszFnUSjcHd3xcfGxaiyicEmSJYQQQoj7Nn/3Zb7fdsGsMl0VH1eeblSe/zUsh6+h4Ku3iYeTh4MbQ8s/ycwryxh0+AM2VPuUOnZ+2lRAGxttY2BHR/DzA4NBS6icnLRjhVA1MC9uL3pR1KdoCsuSJEsIIYQQ9yUkLJ6PVp4AwOBkT4/6fjzduDz1yxvkC6WwiPFln2FH5D5C0kJ57Mw7/NXuJ1pUaPVvQqXXW20qYF7IeqySq+h+KoUQQghRpK05HgFAu+ql2f9+ez7tWYcG/u6SYIkHZzRCeDilsxzZ3uN3WpZrQWxGAh22DmNj6kltvZWTU5FOsECSrJKsaH8yhRBCCFEkKaVY+0+S1atRefR2st5KWEhyMly9qu1l1awZnrUas3HwJjpV7kRSRhLdFnbjt5O/WTvKPJEkq+SSJEsIIYQQ+XYyIoHLMcno7Wx4vIYs6BcWoJS2p1VcHNSsCY0bmzYNdnFwYdUzq+hbuy8ZWRn0+60fPx760brx3kOWyuJMzBlAkqySSJIsIYQQQuTbX6apgj646GWJt3hAaWna6JWTEzRtqiVZer1ZEwdbBxb2WsjzjZ4nS2Xx/OrnmbxrspUCvrer8VdJzkjG3saeSh6VrB2OKGSSZAkhhBAiX5RS/HU8EoAn6vpaORpR7MXGQnQ0BAZCs2bg6wt3WNdna2PLrO6zePeRdwF4Z/M7vLXxLZRShRlxnmRPFazqVRU7G/mHiJJGkiwhhBBC5MvpyFtcupGEg13x2+RWFCFGI1y7pk0TbNgQ6tUDZ+d7nqbT6ZjYfiJTOk4BYMruKYxcNRJjlrGgI86XkKgQQKYKllSSZAkhhBAiX7KnCrapVhpXmSoo7ld4uDZq1awZVKiQ70qB41qN46cnf8JGZ8OcI3Po91s/0jLTCijY/FFKseD4AgBa+7e2cjTCGiyeZGVmZvJ///d/BAYG4uTkRKVKlfjkk0/IysoytVFKMX78ePz8/HBycqJt27acOHHC7DppaWm8+uqreHt74+LiQo8ePbh27ZpZm9jYWAYNGoTBYMBgMDBo0CDi4uLM2oSGhvLkk0/i4uKCt7c3o0ePJj093dK3LYQQQpQISilT6fZudctaORpRLOl04O6ujVw1bqxtJHyfRjQawbI+y3CwdWD5qeV0X9SdxPREy8V6n/aF7eNI5BEc7RwZUn+ItcMRVmDxJGvy5MnMmjWLb7/9llOnTvHFF18wZcoUvvnmG1ObL774gmnTpvHtt99y4MABfH196dixI7du3TK1GTNmDCtWrGDx4sXs2rWLxMREunfvjtH471DwgAEDCA4OZt26daxbt47g4GAGDRpket1oNNKtWzeSkpLYtWsXixcvZvny5YwdO9bSty2EEEKUCGevJ3IxOgkHWxva15SqguI+uLtryVWVKmD34COhvWr24q8Bf+Fi78Kmi5to/3N7ktKTHjzOBzDzwEwA+tfpj5ezl1VjEVaiLKxbt25q+PDhZsd69eqlBg4cqJRSKisrS/n6+qrPP//c9HpqaqoyGAxq1qxZSiml4uLilL29vVq8eLGpTVhYmLKxsVHr1q1TSil18uRJBai9e/ea2uzZs0cB6vTp00oppf766y9lY2OjwsLCTG0WLVqk9Hq9io+Pz9P9xMfHKyDP7YUQQoiH2bQNZ1TFt1erEfP2WzsUIczsu7ZPeU72VIxHzTsyz2pxRCVGKYdPHRTjUfuvye/JwyavuYHFR7IeeeQRNm/ezNmzZwE4evQou3btomvXrgBcunSJyMhIOnXqZDpHr9fTpk0bdu/eDcChQ4fIyMgwa+Pn50edOnVMbfbs2YPBYKB58+amNi1atMBgMJi1qVOnDn5+fqY2nTt3Ji0tjUOHDln61oUQQoiHXvZ6rK4yVVAUMc3KNaN/7f4Apv2prGHOkTmkG9Np6teUpuWaWi0OYV0WX6369ttvEx8fT40aNbC1tcVoNDJhwgSeeeYZACIjtZKvZcqYVyMqU6YMV65cMbVxcHDAw8MjR5vs8yMjI/HxyTlNwcfHx6zNf/vx8PDAwcHB1Oa/0tLSSEv7d9FkQkJCnu9dCCGEeJidu36Lc1GJ2NvqpKqgKJKqeFYB4PzN81bp35hlZNbBWQCMajrKKjGIosHiI1lLlizh119/ZeHChRw+fJj58+fz5ZdfMn/+fLN2uv/sf6CUynHsv/7bJrf299PmdpMmTTIV0jAYDPj7+981JiGEEKKkyN4b69GqpTE42Vs5GiFysnaS9de5v7gSfwVPJ0/61e5nlRhE0WDxJOvNN9/knXfeoX///tStW5dBgwbx+uuvM2nSJAB8fbVNC/87khQVFWUadfL19SU9PZ3Y2Ni7trl+/XqO/qOjo83a/Lef2NhYMjIycoxwZXv33XeJj483Pa5evZrft0AIIYR4KMlUQVHU3Z5kKStsUDzzoFbwYniD4TjZOxV6/6LosHiSlZycjM1/9jmwtbU1lXAPDAzE19eXjRs3ml5PT09n+/bttGrVCoDGjRtjb29v1iYiIoKQkBBTm5YtWxIfH8/+/ftNbfbt20d8fLxZm5CQECIiIkxtNmzYgF6vp3HjxrnGr9frcXNzM3sIIYQQJd35qETOXL+Fva2OjjJVUBRRgR6B6NBxK/0W0cnRhdr3+ZvnWXd+HTp0vNjkxULtWxQ9Fl+T9eSTTzJhwgQqVKhA7dq1OXLkCNOmTWP48OGANn1vzJgxTJw4kapVq1K1alUmTpyIs7MzAwYMAMBgMDBixAjGjh2Ll5cXnp6ejBs3jrp169KhQwcAatasSZcuXRg5ciSzZ88G4Pnnn6d79+5Ur14dgE6dOlGrVi0GDRrElClTuHnzJuPGjWPkyJGSPAkhhBD5sPafUazWVbwxOMtUQVE0Odo54m/wJzQ+lPM3z+PjUnjbDGSvxepSpQuVPSsXWr+iaLJ4kvXNN9/wwQcfMGrUKKKiovDz8+OFF17gww8/NLV56623SElJYdSoUcTGxtK8eXM2bNhAqVKlTG2mT5+OnZ0dffv2JSUlhfbt2zNv3jxsbW1NbRYsWMDo0aNNVQh79OjBt99+a3rd1taWNWvWMGrUKFq3bo2TkxMDBgzgyy+/tPRtCyGEEA+1NTJVUBQTVTyrmJKsVv6tCqXP5Ixk5h6ZC8DLTV8ulD5F0aZT1piwWowkJCRgMBiIj4+X0S8hhBAl0sXoRB6fuh07Gx0H/68D7s4O1g5JiDt6YdUL/HD4Bz547AM+afdJofQZdCSI4SuHE+AewPlXz2NrY3vvk0SxlNfcwOJrsoQQQgjxcFkbohWRalXFWxIsUeQVdoVBpRTfHfgOgJeavCQJlgAkyRJCCCHEPaw59s9UwTq+Vo5EiHsr7CTrQPgBDkUcQm+rZ3jD4YXSpyj6JMkSQgghxB1dvpHEyYgEbG10dKotSZYo+go7ycoexepXpx/ezt6F0qco+iTJEkIIIcQd/RWijWK1quyFp4tMFRRFXyWPSgDEpsZyM+VmgfZ1I/kGS0KWADCqyagC7UsUL5JkCSGEEOKO1h7X1mM9UUeqCoriwcXBBb9SfkDBj2bNPTKXNGMajcs2plm5ZgXalyheJMkSQgghRK5CY5I5HhaPrY2OzrVlA2JRfBTGlEFjlpHvD34PwKimo9DpdAXWlyh+JMkSQgghRK6ypwq2qOSJl6veytEIkXdVPAo+yVp3fh2X4y7j4ehB/zr9C6wfUTxJkiWEEEKIXK39ZwNimSooipvCGMnKLngxrMEwnO2dC6wfUTxJkiWEEEKIHK7eTObotXhsdNBZqgqKYqagk6wLNy+w7vw6AF5q+lKB9CGKN0myhBBCCJHDun82IG4W6EnpUjJVUBQvBZ1kzTo4C4Wic+XOpr6EuJ0kWUIIIYTIYc0/UwW71ZWpgqL4qexZGYDo5GjiU+Mteu2UjBTmBs8F4OWmL1v02uLhIUmWEEIIIcyExaUQfDUOnQ4615GpgqL4cdO74ePiA8CF2AsWvfaSE0u4mXKTioaKdK3a1aLXFg8PSbKEEEIIYSa74EXTAE98SjlaORoh7k9BTRmceWAmAC82eRFbG1uLXls8PCTJEkIIIYSZv2SqoHgIFESSdSDsAAfCD+Bg68CIhiMsdl3x8JEkSwghhBAm4XEpHA7Vpgp2kamCohgriL2yZh7URrH61u5LaZfSFruuePhIkiWEEEIIk+yqgk0qelDGTaYKiuLL0iNZN1NusjhkMQCjmoyyyDXFw0uSLCGEEEIAkJWl+P3INQC6ylRBUcxZOsnadnkbqZmp1PSuSYvyLSxyTfHwkiRLCCGEEAD8vOcyIWEJODvY0q2eJFmieMtOsiISI0hKT3rg6x0KPwRAK/9W6HS6B76eeLhJkiWEEEIIrt5MZvK6MwC880QNqSooij0PJw88nTwBy5RxPxhxEIAmfk0e+Fri4SdJlhBCCFHCKaV4e/kxUjKMNA/0ZGDzitYOSQiLsNSUQaWUaSSrcdnGDxyXePhJkiWEEEKUcAv3h7L7QgyO9jZMfroeNjYyFUo8HCyVZIXGhxKTEoOdjR11y9S1RGjiISdJlhBCCFGChcWlMOmv0wC82bkGAd4uVo5ICMuxVBn3QxHaKFYdnzo42slUWnFvkmQJIYQQJZRSineWHyMxLZNGFdwZ2irA2iEJYVGWGsmSqYIivyTJEkIIIUqoZYeusfPcDRzsbPiid31sZZqgeMhYKsmSohcivyTJEkIIIUqgyPhUPl19EoA3Olajio+rlSMSwvKyk6yrCVdJyUi5r2tI0QtxPyTJEkIIIUoYpRTvrzjOrdRM6pc38NwjgdYOSYgC4e3sjZveDYBLcZfu6xpS9ELcD0myhBBCiBLmj+AwNp+OwsHWhil96mNnK18HxMNJp9M98JRBKXoh7of8rSqEEEKUIFG3Uhm/UpsmOLp9FaqVKWXliIQoWA+cZMlUQXEfJMkSQgghSgilFB/+cYL4lAxq+7nxQpvK1g5JiAL3oGXcs0eyJMkS+SFJlhBCCFFCrDkewboTkdjZ6JjSuz72Mk1QlAAPMpKllOJguFQWFPknf7sKIYQQJUBMYhof/nkCgFHtqlDLz83KEQlROB4kyZKiF+J+SZIlhBBClAAfrTzBzaR0aviW4pV2VawdjhCFJjvJuhJ/hXRjer7OlaIX4n5JkiWEEEI85NaFRLL6WAS2/0wTdLCT//2LksPX1Rdne2eyVBaX4y7n61wpeiHul/wtK4QQQjzE4pLT+b8/QgB44bFK1C1vsHJEQhSuBynjLkUvxP2SJEsIIYR4iE1Zf4YbiWlU8XFldPuq1g5HCKu4nyRLil6IByFJlhBCCPGQCo1JZsmBqwBM6FkHR3tbK0ckhHXcTxl3KXohHoQkWUIIIcRD6qvN58jMUjxWrTTNK3lZOxwhrOZ+RrKk6IV4EJJkCSGEEA+hC9GJrDhyDYA3OlazcjRCWNd9JVlS9EI8AEmyhBBCCAtKSM1g7NKjdP1qJyFh8VaLY8amc2Qp6FCzDA383a0WhxBFQXaSdSnuEplZmXk6R4peiAchSZYQQghhIUevxtH9610sP3yNkxEJ9P9hL7sv3Cj0OE5HJrD6WDggo1hCAJRzK4feVk9mViah8aH3bK+U+jfJ8pMkS+SfJFlCCCHEA1JK8dPOi/SetZvQm8mUc3eiSUUPEtMyGTr3AH8djyjUeKZvPItS0K1uWWr5uRVq30IURTY6Gyp7VgbyNmUwND6UG8k3sLOxo16ZegUdnngISZIlhBBCPICbSek8N/8gn605RYZR0aW2L3+NfpRfn2tOl9q+pBuzeHnhYX7Ze6VQ4jl+LZ71J65jo4PXO0rJdiGy5WddlhS9EA9KkiwhhBDiPu2/dJOuX+1k8+koHOxs+PSp2nw/sBEGZ3sc7W357tlGDGheAaXggz9CmLbxLEqpAo1p2sYzADzVoBxVfEoVaF9CFCf5KeMuRS/Eg7KzdgBCCCFEcWPMUszcep7pm86SpaCStwvfDGhIbT+DWTtbGx0TetbBp5SeGZvO8fXmc0TfSuOznnWwtdFZPK5DV2LZeiYaWxsdr8nGw0KYuZ+RLEmyxP2SJEsIIYTIh6iEVMYsCWb3hRgAejUsx6c96+Ciz/1/qTqdjjEdquHtqueDP0NYtD+Um0lpfNW/ocU3B84exerTuDwB3i4WvbYQxV1ekywpeiEsoUCmC4aFhTFw4EC8vLxwdnamQYMGHDp0yPS6Uorx48fj5+eHk5MTbdu25cSJE2bXSEtL49VXX8Xb2xsXFxd69OjBtWvXzNrExsYyaNAgDAYDBoOBQYMGERcXZ9YmNDSUJ598EhcXF7y9vRk9ejTp6ekFcdtCCCEecjvORtP1653svhCDk70tX/apz7R+De6YYN1uYIuKzBzQCAdbG9afuM7gufuJT8mwWGy7L9zg7/Mx2NvqeOXxKha7rhAPi+wk60LsBYxZxju2k6IXwhIsnmTFxsbSunVr7O3tWbt2LSdPnmTq1Km4u7ub2nzxxRdMmzaNb7/9lgMHDuDr60vHjh25deuWqc2YMWNYsWIFixcvZteuXSQmJtK9e3eMxn9/KQYMGEBwcDDr1q1j3bp1BAcHM2jQINPrRqORbt26kZSUxK5du1i8eDHLly9n7Nixlr5tIYQQD7EMYxaT151m8Nz93EhMp4ZvKVa92prejcvn6zpP1C3L/OHNKKW3Y/+lm/SbvYeohNQHjk8pxbQNZwF4plkFyns4P/A1hXjY+Bv8sbexJ92YTtitsDu2k6IXwhJ0ysIrcN955x3+/vtvdu7cmevrSin8/PwYM2YMb7/9NqCNWpUpU4bJkyfzwgsvEB8fT+nSpfnll1/o168fAOHh4fj7+/PXX3/RuXNnTp06Ra1atdi7dy/NmzcHYO/evbRs2ZLTp09TvXp11q5dS/fu3bl69Sp+fn4ALF68mKFDhxIVFYWb273L2iYkJGAwGIiPj89TeyGEEA+XxLRMRi04zI6z0QA827wCH3Sv9UBT/U6GJzAkaD/Rt9Io7+HEz8ObUam0631fb/vZaIbM3Y/ezoYdb7WjjJt8MRQiN9W/rc7ZmLNsHryZxwMfz7XN+5vfZ+KuiYxoOIKfevxUyBGKoi6vuYHFR7JWrlxJkyZN6NOnDz4+PjRs2JAff/zR9PqlS5eIjIykU6dOpmN6vZ42bdqwe/duAA4dOkRGRoZZGz8/P+rUqWNqs2fPHgwGgynBAmjRogUGg8GsTZ06dUwJFkDnzp1JS0szm74ohBBC5CbqVir9f9jDjrPRONnb8u2Ahkz4X90HXktVy8+N5S+2IsDLmWuxKfSetYejV+Pu61pKKaZu0NZiDWpRURIsIe4iL+uypOiFsASLJ1kXL17k+++/p2rVqqxfv54XX3yR0aNH8/PPPwMQGRkJQJkyZczOK1OmjOm1yMhIHBwc8PDwuGsbHx+fHP37+PiYtflvPx4eHjg4OJja/FdaWhoJCQlmDyGEECXPhehEes3cTUhYAl4uDix+vgXd6/nd+8Q8quDlzG8vtaJuOQM3k9LpM3sP32+7QKYxK1/X2XQqimPX4nF2sOXFtpUtFp8QD6N7lXGXohfCUiyeZGVlZdGoUSMmTpxIw4YNeeGFFxg5ciTff/+9WTudzrx0rVIqx7H/+m+b3NrfT5vbTZo0yVRIw2Aw4O/vf9eYhBBCPHwOXYnl6e93cy02hQAvZ34f1Yr6/u4W78fbVc+i51vQoaYP6Znauq+nZ+3hfNSte58MZGX9O4o1tFUA3q56i8coxMPkXiNZVxOuStELYREWT7LKli1LrVq1zI7VrFmT0NBQAHx9fQFyjCRFRUWZRp18fX1JT08nNjb2rm2uX7+eo//o6GizNv/tJzY2loyMjBwjXNneffdd4uPjTY+rV6/m6b6FEEI8HNafiGTAj3uJS86gvr87y19qRUWvgiuH7qq348fBTZjSux6lHO04ejWOrl/vYtb2Cxiz7r5s+q+QCE5H3qKU3o7nH6tUYDEK8bC4V5J1MPwgIEUvxIOzeJLVunVrzpw5Y3bs7NmzVKxYEYDAwEB8fX3ZuHGj6fX09HS2b99Oq1atAGjcuDH29vZmbSIiIggJCTG1admyJfHx8ezfv9/UZt++fcTHx5u1CQkJISIiwtRmw4YN6PV6GjfOfQhYr9fj5uZm9hBCCFEy/LL3Ci/9eoi0zCza1/Bh0cjmeBXC6JBOp6NPE382vP4YbauXJj0zi8/Xnubp73dzPiox13OMWYrpG7WKgs89Wgl3Z4cCj1OI4u72JCu32m+HwmU9lrAMiydZr7/+Onv37mXixImcP3+ehQsX8sMPP/Dyyy8D/2zKOGYMEydOZMWKFYSEhDB06FCcnZ0ZMGAAAAaDgREjRjB27Fg2b97MkSNHGDhwIHXr1qVDhw6ANjrWpUsXRo4cyd69e9m7dy8jR46ke/fuVK9eHYBOnTpRq1YtBg0axJEjR9i8eTPjxo1j5MiRkjwJIYQwUUrxxbrTfPBHCFkKnmnmz+xBjXF2uPf+V5ZU1uBE0NCmfPF0PUrp7Qi+GkfXr3cyO5dRrT+Dw7gQnYS7sz3DHwko1DiFKK4qulfEVmdLSmYKEYkROV6XohfCUiyeZDVt2pQVK1awaNEi6tSpw6effsqMGTN49tlnTW3eeustxowZw6hRo2jSpAlhYWFs2LCBUqVKmdpMnz6dnj170rdvX1q3bo2zszOrVq3C1vbfik4LFiygbt26dOrUiU6dOlGvXj1++eUX0+u2trasWbMGR0dHWrduTd++fenZsydffvmlpW9bCCFEMZWemcXYZUeZue0CAG90rMbE/9XFztbi/4vME51OR9+m/qx//TEeq6aNak1ae5res/4d1cowZvHV5nMAvPBYZUo52lslViGKGwdbByq6a7Or/jtlUIpeCEuy+D5ZDxvZJ0sIIR5et1IzGLXgMDvP3cDWRsekXnXp26ToFDxSSrH04FU+W32KW2mZONjZMK5TNVz0dry/IgRvVwd2vNWu0EfchCjOOv/amQ0XNjCnxxyGNxxuOh4aH0rFGRWxs7Hj1ru3ZE2WyFVecwP5W1kIIUSJFJWQytCgA5yMSMDZwZbvnm1Eu+o5twaxJp1OR7+mFXi0amneXn6MneduMPGv02QXyH2pbRVJsITIpyoeVdjAhhwjWVL0QliSdeZCCCGEEFZ0Ijye/83czcmIBLxdtT2wilqCdTs/dyd+Ht6Mz3vVxVVvh1Lg6+bIs80rWDs0IYqdO1UYlKIXwpLkn7+EEEKUGEopFh+4ykcrT5CemUWgtwvzhzWjgpeztUO7J51OR/9mFXi0Wml+3nOZJ+qUxdHe9t4nCiHM3DHJkqIXwoIkyRJCCFEiJKdn8n8rQvj9SBgAj9fwYVrf+sWu9Hk5dyfefaKmtcMQotj6bxl3nU4nRS+ExUmSJYQQ4qF3PiqRUQsOcfZ6IjY6GNe5Oi8+VhkbG521QxNCFLJAj0B06LiVfovo5Gh8XHy4mnCVG8k3sLOxo16ZetYOUTwEJMkSQgjxUFt5NJx3lh8jOd1I6VJ6vnmmIS0qeVk7LCGElTjaOeJv8Cc0PpTzN8/j4+JjWo8lRS+EpUjhCyGEEA+ltEwjH/wRwuhFR0hON9KykhdrRj8iCZYQIse6rOzKgrIeS1iKJFlCCCEeOldvJtNn1h5+2XsFgFfaVeHX55rjU0r+hVoIoZVxh3+TLCl6ISxNpgsKIYR4qGw6eZ03lgaTkJqJu7M90/s1KNLl2YUQhe+/xS+k6IWwNEmyhBBCPBQyjVlM2XCG2dsvAtDA353vnm1EOXcnK0cmhChqbk+ypOiFKAiSZAkhhCjW4pMzWH08nEX7QwkJSwBgWOsA3n2iJg52MiteCJHT7UlWdtGL2qVrS9ELYTGSZAkhhCh20jKNbD0dxYojYWw9HU26MQsAV70dX/SuR9e6Za0coRCiKKvkUQmA2NRYNlzYAEATvybWDEk8ZCTJEkIIUSxkZSkOXollxZEw1hwLJyE10/RazbJu9GpYjqca+klxCyHEPbk4uOBXyo/wW+EsP7UckKIXwrIkyRJCCFGknY9K5I8jYfwRHMa12BTTcV83R55q6Mf/Gpajhq+bFSMUQhRHVTyrEH4rnOjkaECKXgjLkiRLCCFEkZOcnsnvh8NYevAqx67Fm4676u14oo4v/2tYjuaVvLC10VkxSiFEcVbFowo7ruwAkKIXwuIkyRJCCFFkhMWl8PPuyyzaH2qaDmhro6NNtdL8r2E5OtQsg5ODrZWjFEI8DLKLX4AUvRCWJ0mWEEIIq1JKW2sV9Pcl1oVEkqW04xW9nBnUoiL/a1gOL1e9dYMUQjx0bk+ypOiFsDRJsoQQQlhFWqaR1UcjCNp9yVR6nf9v787jo6rv/Y+/JttkHwIhGwQIENawmQAGUFEgSkFEbwXFUqFerYogVVvrtfentlfiUmmruIEUF9Rwe5W6I7FCABEIkci+yJYACUkgTPaZZHJ+fwSmhkUCTJjM5P18POaRzDnfM+dz/D5i8uZ7zvcLDO/ejunDEri2V5RuBxSRZvPjkKVJL8TVFLJEROSyKiqv4d11eby7Po+SChsAZj8fbh7UgWnDu2gSCxG5LLq17eb8XpNeiKspZImIyGVhrarlj59u55PvjzjXtYoJD2RqamduH9KJtiEBbq5QRFqTcHM4k/tO5kj5EQbFDHJ3OeJlFLJEROSyeOqTbXy46TAAV3Rqw/ThCdyQFIO/r4+bKxOR1irj5xnuLkG8lEKWiIg0u0JrDR9/fwSARdMHc23PKDdXJCIi0nz0z4ciItLs3v72AHX1BkO6tFXAEhERr6eQJSIizarKXsd7G/IAuOuqBDdXIyIi0vwUskREpFl98N1hTlTV0qltMKN7R7u7HBERkWankCUiIs2mvt5g0Zr9APxqeBeteyUiIq2CQpaIiDSbFbuK2FdSSVigH7emxLu7HBERkctCIUtERJrNwpOjWFOGdCLErAltRUSkdVDIEhGRZrHtiJW1e4/h62PizmFd3F2OiIjIZaOQJSIizeLvaw4AMDYphrg2Qe4tRkRE5DJSyBIREZcrKqvh4+8PA/CfV3V1czUiIiKXl0KWiIi43DvrDlLrMEjuHMHA+DbuLkdEROSyUsgSERGXqql1sHjdQQD+c4QWHxYRkdZHIUtERFzqw+8OU1pVS8eIINL6xri7HBERkctOIUtERFymvt5g4Zp9AEwfnqDFh0VEpFVSyBIREZfJ2lPM3uJKQs1+TErp6O5yRERE3EIhS0REXGbh6obFh28bHE9YoL+bqxEREXEPhSwREXGJnYVlrPmhBB8TWnxYRERaNYUsERFxiVOjWGOTYolvG+zmakRERNxHIUtERC5ZcbmNj3KPAPArTdsuIiKtnEKWiIhcsnfWHcTuqGdQpzYkd45wdzkiIiJupZAlIiKXpKbWwbsnFx++S6NYIiIiClkiInJp/rnpMMcq7XRoE8QNWnxYREREIUtERC6eYRgsXNMw4cW0YV3w89WvFREREf02FBGRi7ZqTwl7iioICfBl8pB4d5cjIiLSIjR7yEpPT8dkMjF79mznNsMwePLJJ4mLiyMoKIiRI0eybdu2RsfZbDZmzpxJZGQkISEhTJgwgUOHDjVqU1paytSpU7FYLFgsFqZOncqJEycatcnLy+PGG28kJCSEyMhIZs2ahd1ub67LFRFpVU6NYk0aHE+4Fh8WEREBmjlkZWdnM3/+fPr3799o+3PPPcfcuXOZN28e2dnZxMTEMGbMGMrLy51tZs+ezdKlS8nIyGDNmjVUVFQwfvx4HA6Hs82UKVPIzc1l2bJlLFu2jNzcXKZOnerc73A4GDduHJWVlaxZs4aMjAw++OADHn744ea8bBGRVmHP0XJW7S7GZILpwzThhYiIyCnNFrIqKiq44447WLBgARER/57O1zAM/vrXv/L4449zyy23kJSUxFtvvUVVVRXvvfceAFarlYULF/LCCy8wevRoBg0axOLFi9myZQtfffUVADt27GDZsmW88cYbpKamkpqayoIFC/j000/ZtWsXAMuXL2f79u0sXryYQYMGMXr0aF544QUWLFhAWVlZc126iEir8P6GfABG946mUzstPiwiInJKs4WsGTNmMG7cOEaPHt1o+/79+yksLCQtLc25zWw2c80117B27VoAcnJyqK2tbdQmLi6OpKQkZ5tvv/0Wi8XC0KFDnW2uvPJKLBZLozZJSUnExcU521x//fXYbDZycnJcf9EiIq2Erc7B0k0Nt3DfrmexREREGvFrjg/NyMjgu+++Izs7+4x9hYWFAERHRzfaHh0dzcGDB51tAgICGo2AnWpz6vjCwkKioqLO+PyoqKhGbU4/T0REBAEBAc42p7PZbNhsNud7jXiJiJwpc/tRSqtqiQkP5OrE9u4uR0REpEVx+UhWfn4+Dz74IIsXLyYwMPCc7UwmU6P3hmGcse10p7c5W/uLafNj6enpzok0LBYL8fH6F1oRkdMtyW64VfDWlI6atl1EROQ0Lv/NmJOTQ1FREcnJyfj5+eHn50dWVhYvvvgifn5+zpGl00eSioqKnPtiYmKw2+2Ulpb+ZJujR4+ecf7i4uJGbU4/T2lpKbW1tWeMcJ3y2GOPYbVana/8/PyL+K8gIuK98o9XseaHEgBuTdY/RImIiJzO5SFr1KhRbNmyhdzcXOcrJSWFO+64g9zcXLp27UpMTAyZmZnOY+x2O1lZWQwbNgyA5ORk/P39G7UpKChg69atzjapqalYrVY2bNjgbLN+/XqsVmujNlu3bqWgoMDZZvny5ZjNZpKTk89av9lsJjw8vNFLRET+7R85hzAMGN69nSa8EBEROQuXP5MVFhZGUlJSo20hISG0a9fOuX327NnMmTOHxMREEhMTmTNnDsHBwUyZMgUAi8XCXXfdxcMPP0y7du1o27YtjzzyCP369XNOpNG7d29uuOEG7r77bl5//XUA7rnnHsaPH0/Pnj0BSEtLo0+fPkydOpXnn3+e48eP88gjj3D33XcrPImIXARHvcE/NjaM8E8e3MnN1YiIiLRMzTLxxfn87ne/o7q6mvvvv5/S0lKGDh3K8uXLCQsLc7b5y1/+gp+fH5MmTaK6uppRo0bx5ptv4uvr62zz7rvvMmvWLOcshBMmTGDevHnO/b6+vnz22Wfcf//9DB8+nKCgIKZMmcKf//zny3exIiJeZNWeYgqsNbQJ9ietz9lvuxYREWntTIZhGO4uoiUrKyvDYrFgtVo1+iUird59i3P4Ymsh04Z14ckJfd1djoiIyGXV1GygKaFERKRJSipsZG5vmHBo8mBNeCEiInIuClkiItIkH353iLp6gwHxbegdq5F9ERGRc3HLM1kiIq1Vfb2B3VGP3VFPbV3D1zqHQVybIHx9fnqtQHcyDIOMk2tjTU7RKJaIiMhPUcgSEXGhSlsdT32yjfX7jztDlL2unlpHQ7hy1J/9Mdire7TnremDz7sou7vkHCxlX3ElQf6+3Dgg1t3liIiItGgKWSIiLlJgreauNzeyvaCsycf4+5qodRis2l3M6j0lXN2jfTNWePFOjWKN7x9LWKC/m6sRERFp2RSyRERcYOthK3e9lc3RMhvtQgKYc0s/Yi2BBPj54O/rQ4Cvz7+/9/PB39dEgK8PJpOJP36ynb9/s58/L9/FVYmRLW40q7ymls82NyzqftsQ3SooIiJyPgpZIiKX6KvtR5n5/iaqax0kRoXy92mDiW8b3OTj77+2GxnZeWw+ZGX59qNc3zemGau9cJ98X0B1rYNu7UO4olOEu8sRERFp8TS7oIjIRTIMg4Vr9nP3OxuprnVwVWIk/3ffsAsKWACRoWamD+8CwNzlu8/53Ja7LMnOA+C2wZ1a3CibiIhIS6SQJSJyEeoc9fy/j7bxp0+3Yxhw+5BO/H3aYCxBF/e80j1XdSMs0I9dR8v5dPMRF1d78bYfKeP7Q1b8fU3cfEUHd5cjIiLiERSyREQuUHlNLXe9tZF31h3EZILHf9abOTcn4e978f9LtQT78+uruwLwl8zd1DrqXVXuJfnfjQ0TXozuHU1kqNnN1YiIiHgGhSwRkQtw+EQ1t772LVm7iwn09+HVO5K5++quLrmNbvrwBNqFBHDgWBUf5BxyQbWXpqbWwdJNhwGYPFgTXoiIiDSVQpaISBN9n3+Cm+Z9w87CctqHmfnfX6dyQ5LrJqkIMftx38huALz4rz3Y6hwu++yL8eW2QqzVtcRZArkqsWVOLS8iItISKWSJiDTBsq0FTJ7/LSUVNnrFhPHRjOH079jG5ef5xZWdiQkP5Ii1hvfW57n88y/EkpNrY92aEo+vjya8EBERaSqFLBGR83h3/UHue/c7amrrGdmzPf933zDi2gQ1y7kC/X2ZOao7AC+v+IEqe12znOd88o5VsXbvMUwmuDWlo1tqEBER8VQKWSIiP2HrYStPfrwNw4BfpnbmjV+mEGpu3iUGJ6XE06ltMCUVdt5ce6BZz3Uupya8GNE9ko4RFzYlvYiISGunkCUicg7VdgezMjZR6zC4oW8MT03oi98lzCDYVP6+PswenQjA61n7sFbXXvRn1dcbF3x8naOef+Q0hKzbBne66HOLiIi0VgpZIiLn8D+fbWdfcSXR4WbSb+l3WRfivWlgBxKjQrFW17Jw9b6L+oyi8homvf4tA55azuTXvyVjQ16TAlfW7mKOltmICPZndJ+oizq3iIhIa6aQJSJyFpnbj/LuyYkn5k4aSERIwGU9v6+PiYfG9ABg4Zr9HKuwXdDxmw+dYMJL37DxYCkA6/cf5/cfbmHw019x3+Iclm8rxF539rW4Tk14ccsVHTH7+V7CVYiIiLROClkiIqcpKqvh0Q82A3DP1V0Z3j3SLXXckBRDUodwKu0OXsva2+TjPso9zK2vfUthWQ3d2oew5J4refSGXvSIDsVeV88XWwu5550chsz5iseXbmHjgeMYhgE0jH79a2cRoLWxRERELpbJOPWbVc6qrKwMi8WC1WolPDzc3eWISDOrrze4c9EGVu8poU9sOEtnDHPraM6KXUVMX5SN2c+HVb+7lujwwHO2ddQbPP/lLmcgu65XFH+9bSDhgf4AGIbBjoJylm46xEe5Rygq//foWHzbICYO7ECFrY5F3xzgik5t+PD+4c17cSIiIh6mqdmgeafIEhHxMG+uPcDqPSWY/Xx48faBbr9dbmSP9qR0jmDjwVJe+noP/zOx31nbldXU8uD7m1ixqxiA+0Z245G0no3WtzKZTPSJC6dPXB9+P7Y33+49xtJNh1m2tYD849W89PUPzrYaxRIREbl4ul1QROSkHQVlPPPFTgD+ML4P3aPC3FxRQzB65PqeAGRsyCf/eNUZbfYVV3Dzy9+wYlcxZj8f/nbbQB69oddPLiDs62NiRGIkL0wawMY/jOHF2wdxXa8ofH1MxFoCGdc/rtmuSURExNtpJEtEBKipdTA7Ixe7o55RvaL4xdCWM3X5lV3bcVViJKv3lPDXr/bwwqQBzn1Zu4t54L3vKK+pI9YSyPypKfTraLmgzw8K8GXCgDgmDIjDWl2Lr4+p2dcCExER8WYayRIRAZ75Yie7jpYTGRrAsz/vf1mna2+Kh9MaRrOWbjrED0XlGIbBG6v3MX3RBspr6kjuHMFHDwy/4IB1OkuQvwKWiIjIJdJvUhFp9VbsKuLNtQcAeP7WAUSGmt1b0FkMjG/DmD7RZG4/ynPLdhEa6MeH3x0GYFJKR/40Mcntz4+JiIhIA4UsEWnVSips/PYfDdO1TxvWhWt7ttzFdx9O68FXO46yfPtRoOG5qv8e15s7h3VpcSNvIiIirZluFxSRVsswDB79v82UVNjoER3K78f2cndJP6lXTDg3npyQwhLkz9u/GsK04QkKWCIiIi2MRrJEpNVavD6Pf+0sIsDXh7/dNohA/5Z/u93TNycxIL4NaX2iiW8b7O5yRERE5CwUskSkVfqhqJz/+XQ7AI+O7UXvWM9YbDws0J+7RiS4uwwRERH5CbpdUERaHVudg1nv52Krq+eqxEimD+vi7pJERETEiyhkiUir89rKfWwvKCMi2J8Xbh2Az08s2isiIiJyoRSyRKRVKbTW8FrWXgCeuimJqPBAN1ckIiIi3kYhS0Ralee/3EV1rYOUzhHc2D/W3eWIiIiIF1LIEpFWY8shKx98dwiAP4zvo6nPRUREpFkoZIlIq2AYBn/6rGE2wYkD4xgY38a9BYmIiIjXUsgSkVbhy22FbNh/HLOfD7+7oWUvOiwiIiKeTSFLRLyerc7BnM93AnDP1V2JaxPk5opERETEmylkiYjXe3vtQfKOV9E+zMy913RzdzkiIiLi5RSyRMSrHauw8eLXewD4bVpPQsx+bq5IREREvJ1Cloh4tb/9aw/lNXX0iQ3nP5I7urscERERaQUUskTEa+05Ws676/MA+MP43vj6aMp2ERERaX4KWSLiteZ8vgNHvcGYPtEM6xbp7nJERESklVDIEhGvtGp3MSt2FePnY+K/ftbb3eWIiIhIK6KQJSJep85Rz/+cXHj4l6ldSIgMcXNFIiIi0pooZInIZXGiys6aPSU46o1mP9eSjfnsPlpBm2B/HhyV2OznExEREfkxl4es9PR0Bg8eTFhYGFFRUUycOJFdu3Y1amMYBk8++SRxcXEEBQUxcuRItm3b1qiNzWZj5syZREZGEhISwoQJEzh06FCjNqWlpUydOhWLxYLFYmHq1KmcOHGiUZu8vDxuvPFGQkJCiIyMZNasWdjtdldftoj8hLV7Sxjzl1X8YuF6bnl1LbsKy5vtXGU1tcxdvhuA2aMSsQT7N9u5RERERM7G5SErKyuLGTNmsG7dOjIzM6mrqyMtLY3Kykpnm+eee465c+cyb948srOziYmJYcyYMZSX//sPr9mzZ7N06VIyMjJYs2YNFRUVjB8/HofD4WwzZcoUcnNzWbZsGcuWLSM3N5epU6c69zscDsaNG0dlZSVr1qwhIyODDz74gIcfftjVly0iZ+GoN/jrV7v5xRvrKS63AfB9/gnGv7Sav2TuxlbnOM8nXLhXVuzlWKWdru1DuOPKzi7/fBEREZHzMRmG0az37hQXFxMVFUVWVhZXX301hmEQFxfH7NmzefTRR4GGUavo6GieffZZfv3rX2O1Wmnfvj3vvPMOkydPBuDIkSPEx8fz+eefc/3117Njxw769OnDunXrGDp0KADr1q0jNTWVnTt30rNnT7744gvGjx9Pfn4+cXFxAGRkZDBt2jSKiooIDw8/b/1lZWVYLBasVmuT2otIg6LyGmZn5LJ27zEAJqV05L6R3Xn6sx18teMoAD2iQ3n2P/ozqFOES86Zf7yKUS9kYXfUs/DOFEb1jnbJ54qIiIhA07NBsz+TZbVaAWjbti0A+/fvp7CwkLS0NGcbs9nMNddcw9q1awHIycmhtra2UZu4uDiSkpKcbb799lssFoszYAFceeWVWCyWRm2SkpKcAQvg+uuvx2azkZOT00xXLCJr9pTws7+tZu3eYwQH+DJ30gCe+/kAEiJDWPDLZOZNGUS7kAB2H63gllfX8qdPt1Nlr7vk8z6zbCd2Rz3Du7fjul5RLrgSERERkQvn15wfbhgGDz30ECNGjCApKQmAwsJCAKKjG/8Lc3R0NAcPHnS2CQgIICIi4ow2p44vLCwkKurMP6KioqIatTn9PBEREQQEBDjbnM5ms2Gz2Zzvy8rKmny9Iq1dnaOev/1rD/NW/IBhQK+YMOZNuYLuUaHONiaTifH94xjeLZI/fbqdDzcdZuGa/SzfXsgzt/RnePeLW89q44HjfLa5AJMJ/jCuDyaTFh4WERER92jWkawHHniAzZs38/7775+x7/Q/gAzDOO8fRae3OVv7i2nzY+np6c6JNCwWC/Hx8T9Zk4g0OFpWw5Q31vPS1w0B6/Yh8fxzxvBGAevHIkICmDt5IG9OH0yHNkHkH6/mjjfW8+j/bcZaXdukc9rqHOw+Ws6yrYX8v48aJs+ZnBJP71jd2isiIiLu02wjWTNnzuTjjz9m1apVdOzY0bk9JiYGaBhlio2NdW4vKipyjjrFxMRgt9spLS1tNJpVVFTEsGHDnG2OHj16xnmLi4sbfc769esb7S8tLaW2tvaMEa5THnvsMR566CHn+7KyMgUtkfPI2l3Mb5bkcrzSTkiAL3Nu6cdNAzs06diRPaP48jdX8/yynbz17UGWbMxnxa4i/jQxiev7xlBfb1BQVsP+4kr2lVSwr7iSfSWV7C+p4HBpNT+eET4kwJeH0no001WKiIiINI3LQ5ZhGMycOZOlS5eycuVKEhISGu1PSEggJiaGzMxMBg0aBIDdbicrK4tnn30WgOTkZPz9/cnMzGTSpEkAFBQUsHXrVp577jkAUlNTsVqtbNiwgSFDhgCwfv16rFarM4ilpqby9NNPU1BQ4Ax0y5cvx2w2k5ycfNb6zWYzZrPZxf9VRLxTnaOeFzJ38+rKvQD0iQ3n5TuuuODFf0PNfjx1UxLjB8Tx6Aeb2Vdcya/fyaFLu2AKy2qoqa0/57FhZj+6tg+hS2QIv0ztQlRY4CVdk4iIiMilcvnsgvfffz/vvfceH330ET179nRut1gsBAUFAfDss8+Snp7OokWLSExMZM6cOaxcuZJdu3YRFhYGwH333cenn37Km2++Sdu2bXnkkUc4duwYOTk5+Pr6AjB27FiOHDnC66+/DsA999xD586d+eSTT4CGKdwHDhxIdHQ0zz//PMePH2fatGlMnDiRl156qUnXo9kFRc6upMLGfYtzyD5QCsDUKzvz+LjeBPr7XtLn1tQ6eOnrPbyWtc+5cLG/r4lObYNJiAylW/sQEiIbXl3bhxIZGqDnr0REROSyaGo2cHnIOtcfO4sWLWLatGlAw2jXU089xeuvv05paSlDhw7l5Zdfdk6OAVBTU8Nvf/tb3nvvPaqrqxk1ahSvvPJKo1v3jh8/zqxZs/j4448BmDBhAvPmzaNNmzbONnl5edx///18/fXXBAUFMWXKFP785z83ebRKIUvkTFX2Om6bv47Nh6yEmf145j/6M65/7PkPvAAHj1Wyv6SSLu1C6BgRhJ9vs0+GKiIiIvKT3BayvI1ClkhjdY56fv1ODv/aWUREsD//uHfYOSe3EBEREfEmLWadLBHxHoZh8OQn2/jXziLMfj68cedgBSwRERGR0yhkiUiTzV+1j8Xr8jCZ4K+TB5LcOeL8B4mIiIi0MgpZItIkn24+QvoXO4GGxX7H9nPtM1giIiIi3kIhS0TOa8P+4zy05HsApg/vwl0jEs5zhIiIiEjrpZAlIj9pb3EFd7+9Ebujnuv7RvOHcX3cXZKIiIhIi6aQJSLnVFxuY9qiDViraxkY34a/Th6Er4/WpBIRERH5KQpZInJWVfY6/vOtbPKPV9O5XTAL70whKODSFhoWERERaQ0UskTkDI56g1nvb+L7Q1Yigv1ZNG0w7UKbtoC3iIiISGunkCUijRiGwVOfbOOrHUUE+Pnwxp0pdG2vtbBEREREmkohS0QaeWP1ft7+9uCP1sJq6+6SRERERDyKQpaIOH22uYCnP98BwOM/683PtBaWiIiIyAVTyBIRoGGx4d8syQVg2jCthSUiIiJysfzcXYCIuJdhGLyWtY9nl+0E4Gf9Yvjv8X0wmTRVu4iIiMjFUMgSacXqHPX890fbeH9DHgDTh3fhD+P6aC0sERERkUugkCXSSpXX1DLjvU2s2l2MyQT/b3wfpg/XLYIiIiIil0ohS6QFMwyDSruDE1V2TlTVUlplB2BoQjsC/C7+kcoCazXTF2Wzs7CcIH9fXrx9EGP6RLuqbBEREZFWTSFLxI1KK+18lHuYgrIaTlTWcqLaTmlVLSeqGr5aq2qxO+rPOC463Mz04QncPqQTliD/CzrntiNWfvVmNkfLbESGmvn7tBT6d2zjoisSEREREZNhGIa7i2jJysrKsFgsWK1WwsPD3V2OuECBtZrVu0swmSDAzwezny9mfx/Mfqdevs6vASe3hQb64e/rusk4rdW1LFy9j79/c4AKW9152wf4+RAR7E+boACOVdopqbABEGr247bB8UwfkUCHNkHn/ZwVO4t44L3vqLQ76BEdyt+nDaZjRPAlX4+IiIhIa9DUbKCQdR4KWd7jaFkNr6z4gfc35J91dOinhJr9uHFAHLcNjqd/R8tFz7xXYavjzW/2M3/VPspqGsJV79hwUru2awhRIQHOMNUm2J+Ik++D/H2d57TVOfg49wgLVu9j99EKAHx9TIzvH8vdV3UlqYPlrOd+Z91BnvhoK/UGDO/ejlfuSL7gUTARERGR1kwhy0UUsjxfUXkNr67cy7vr87DXNYSrAfFtaBvsj62uHltdPfa6emx1job3tfXYHfXYahve19U3/hHpHRvObYPjmTiwA5bgpoWUaruDt789wGtZeymtqgWgR3Qovxndg+v7xuBzEbP5GYZB1u5iFqzexzc/HHNuH9atHXdf3ZWRPdpjMpmorzd4ZtlO5q/aB8CtyR15+uZ+l/RMl4iIiEhrpJDlIgpZnqu43MbrWXtZvP4gNbUN4Wpwlwh+M6YHw7pFNvlz6hz1ZB8oZUl2Hp9vLXQGNbOfDz/rF8ttg+MZktD2rKNbNbUO3lufxysr9zpv8esaGcKDoxMZ3z/OZVOlbz1s5Y3V+/hkcwGOk6GwR3Qo/3lVV1bsLOKLrYUAPDymBw9c111rYImIiIhcBIUsF1HI8jzHK+28vmovb689SHWtA4ArOrXhoTE9Gd693SUFjBNVdv656TAZ2fnsLCx3bu8aGcLkwfH8R3JHIkPN2Ovq+d+N+cz7+gcKy2oAiG8bxKzrErl5UAf8XPh8148dPlHNm9/s5/0N+Y2e9Qrw9eG5n/dn4qAOzXJeERERkdZAIctFFLI8R2mlnQWr9/Hm2gNU2RvC1YD4Njw0pgdXJ0a6dPTGMAy+P2QlY0MeH39/xHk+Px8T1/aKYkdBGYdKqwGItQQy87pEfp7c8bLdoldWU8v76/NY9M0B7I56XrnjCq7s2u6ynFtERETEWylkuYhCVstlGAbFFTZ2FpSzdu8xFq876By96dfBwm/GJHJtz6hmvzWuwlbHp98f4f3sfL7PP+Hc3j7MzIyR3bhtSCcC/X2btYZzqa83qKs39PyViIiIiAsoZLmIQlbLUFPrYM/RCnYUlrGrsJydhWXsLCjnWKW9Ubs+seH8ZkwPRvdu/nB1NjsKyvhscwGRoQFMHtyJoAD3hCsRERERcb2mZgMtRiwtRrXdQXG5jaLyGorKbewrrmBHYTk7C8rYX1JJ/Vn+OcDHBF0iQ+gdE86NA+K4vm+0Wyd16B0bTu9YhXERERGR1kwhSy6L45V2thy2UlRWQ3GF7WSYavhacvL78y3KGxHsT6+YcHrFhtH75NfEqDCNFomIiIhIi6KQJc2mvt7gm70lZGzIZ/n2Qmod578z1eznQ1S4maiwQOIjgugdG06v2HB6x4TRPsysqcdFREREpMVTyGrlDMOgsKyGrYfL2FNUTseIYIYmtCU6PPCiP7PAWs0/Nh5iSXY+h09UO7d3jQyhQ0QQ7cMaQlT7MPPJ7//9NdTspyAlIiIiIh5NIasVMQyDvONVbDtSxtbDVrYeKWPbYesZk0cAdGkXzNCEdgxJaMvQrm3pGBH8k59d66jnXzuKWJKdR9buYufzU+GBftw8qAOTBsfTN87SHJclIiIiItKiKGR5sfzjVeQcLD0ZqKxsO1JGec2Zzz35+phIjAqle1QoB45Vsv1IGQeOVXHgWBVLNuYD0KFNUEPgSmjLkIS2JESGYDKZ2F9SSUZ2Hh/kHKakwub8zKEJbbltSDxjk2LdNn25iIiIiIg7aAr38/C0Kdzzj1fx2ZYCPttcwJbD1jP2B/j60DMmjKQO4fSNs5DUwUKvmLBGQaisppacA6Ws23+MDfuPs+WQlbrTpvZrH2Ym1hLI5kP/PkdkqJmfJ3dkUkpHurYPbb6LFBERERFxA62T5SKeELIOn6jm880FfLqloNFiuD4mGBDfhv4dLPTtYCEpzkL3qNALXpi20lbHprwTrN9/jPX7j5ObdwK7o955jpE9o5g8OJ7rekXh76tFb0VERETEO2mdLC9XaK05OWJ1hO/yTji3+5hgaEI7xg+I5Ya+MbQLNV/yuULMfoxIjGREYiTQsDDw9/knOHi8ihHdI4lrE3TJ5xARERER8RYKWR6kqKyGz7cU8NmWArIPlDq3m0wwpEtbxveP5fqkGKLCLn5mwKYI9PdlaNd2DO3arlnPIyIiIiLiiRSyPIStzsG1f15Jpd3h3Da4SwTj+sUytl/sJU25LiIiIiIirqOQ5SHMfr5c2yuKIyeqGdc/jp/1iyHWotv0RERERERaGoUsD/KXyQM1sYSIiIiISAunv9g9iAKWiIiIiEjLp7/aRUREREREXEghS0RERERExIUUskRERERERFxIIUtERERERMSFFLJERERERERcSCFLRERERETEhVpFyHrllVdISEggMDCQ5ORkVq9e7e6SRERERETES3l9yFqyZAmzZ8/m8ccfZ9OmTVx11VWMHTuWvLw8d5cmIiIiIiJeyGQYhuHuIprT0KFDueKKK3j11Ved23r37s3EiRNJT08/7/FlZWVYLBasVivh4eHNWaqIiIiIiLRgTc0GXj2SZbfbycnJIS0trdH2tLQ01q5d66aqRERERETEm/m5u4DmVFJSgsPhIDo6utH26OhoCgsLz3qMzWbDZrM535eVlTVrjSIiIiIi4l28eiTrFJPJ1Oi9YRhnbDslPT0di8XifMXHx1+OEkVERERExEt4dciKjIzE19f3jFGroqKiM0a3TnnsscewWq3OV35+/uUoVUREREREvIRX3y4YEBBAcnIymZmZ3Hzzzc7tmZmZ3HTTTWc9xmw2Yzabne9PzQui2wZFRERERFq3U5ngfHMHenXIAnjooYeYOnUqKSkppKamMn/+fPLy8rj33nubdHx5eTmAbhsUERERERGgISNYLJZz7vf6kDV58mSOHTvGH//4RwoKCkhKSuLzzz+nc+fOTTo+Li6O/Px8wsLCzvkc1+VSVlZGfHw8+fn5mk7ei6hfvY/61PuoT72T+tX7qE+9U0vqV8MwKC8vJy4u7ifbef06Wd5Ea3Z5J/Wr91Gfeh/1qXdSv3of9al38sR+9eqJL0RERERERC43hSwREREREREXUsjyIGazmSeeeKLR7Ifi+dSv3kd96n3Up95J/ep91KfeyRP7Vc9kiYiIiIiIuJBGskRERERERFxIIUtERERERMSFFLJERERERERcSCFLRERERETEhRSyPMgrr7xCQkICgYGBJCcns3r1aneXJE20atUqbrzxRuLi4jCZTPzzn/9stN8wDJ588kni4uIICgpi5MiRbNu2zT3FSpOkp6czePBgwsLCiIqKYuLEiezatatRG/Wr53n11Vfp378/4eHhhIeHk5qayhdffOHcrz71fOnp6ZhMJmbPnu3cpn71PE8++SQmk6nRKyYmxrlffeqZDh8+zC9+8QvatWtHcHAwAwcOJCcnx7nfk/pVIctDLFmyhNmzZ/P444+zadMmrrrqKsaOHUteXp67S5MmqKysZMCAAcybN++s+5977jnmzp3LvHnzyM7OJiYmhjFjxlBeXn6ZK5WmysrKYsaMGaxbt47MzEzq6upIS0ujsrLS2Ub96nk6duzIM888w8aNG9m4cSPXXXcdN910k/OXuPrUs2VnZzN//nz69+/faLv61TP17duXgoIC52vLli3OfepTz1NaWsrw4cPx9/fniy++YPv27bzwwgu0adPG2caj+tUQjzBkyBDj3nvvbbStV69exu9//3s3VSQXCzCWLl3qfF9fX2/ExMQYzzzzjHNbTU2NYbFYjNdee80NFcrFKCoqMgAjKyvLMAz1qzeJiIgw3njjDfWphysvLzcSExONzMxM45prrjEefPBBwzD0s+qpnnjiCWPAgAFn3ac+9UyPPvqoMWLEiHPu97R+1UiWB7Db7eTk5JCWltZoe1paGmvXrnVTVeIq+/fvp7CwsFH/ms1mrrnmGvWvB7FarQC0bdsWUL96A4fDQUZGBpWVlaSmpqpPPdyMGTMYN24co0ePbrRd/eq59uzZQ1xcHAkJCdx2223s27cPUJ96qo8//piUlBRuvfVWoqKiGDRoEAsWLHDu97R+VcjyACUlJTgcDqKjoxttj46OprCw0E1Viauc6kP1r+cyDIOHHnqIESNGkJSUBKhfPdmWLVsIDQ3FbDZz7733snTpUvr06aM+9WAZGRl89913pKenn7FP/eqZhg4dyttvv82XX37JggULKCwsZNiwYRw7dkx96qH27dvHq6++SmJiIl9++SX33nsvs2bN4u233wY872fVz90FSNOZTKZG7w3DOGObeC71r+d64IEH2Lx5M2vWrDljn/rV8/Ts2ZPc3FxOnDjBBx98wJ133klWVpZzv/rUs+Tn5/Pggw+yfPlyAgMDz9lO/epZxo4d6/y+X79+pKam0q1bN9566y2uvPJKQH3qaerr60lJSWHOnDkADBo0iG3btvHqq6/yy1/+0tnOU/pVI1keIDIyEl9f3zNSelFR0RlpXjzPqdmQ1L+eaebMmXz88cesWLGCjh07OrerXz1XQEAA3bt3JyUlhfT0dAYMGMDf/vY39amHysnJoaioiOTkZPz8/PDz8yMrK4sXX3wRPz8/Z9+pXz1bSEgI/fr1Y8+ePfpZ9VCxsbH06dOn0bbevXs7J3nztH5VyPIAAQEBJCcnk5mZ2Wh7ZmYmw4YNc1NV4ioJCQnExMQ06l+73U5WVpb6twUzDIMHHniADz/8kK+//pqEhIRG+9Wv3sMwDGw2m/rUQ40aNYotW7aQm5vrfKWkpHDHHXeQm5tL165d1a9ewGazsWPHDmJjY/Wz6qGGDx9+xlIou3fvpnPnzoAH/l5114wbcmEyMjIMf39/Y+HChcb27duN2bNnGyEhIcaBAwfcXZo0QXl5ubFp0yZj06ZNBmDMnTvX2LRpk3Hw4EHDMAzjmWeeMSwWi/Hhhx8aW7ZsMW6//XYjNjbWKCsrc3Plci733XefYbFYjJUrVxoFBQXOV1VVlbON+tXzPPbYY8aqVauM/fv3G5s3bzb+67/+y/Dx8TGWL19uGIb61Fv8eHZBw1C/eqKHH37YWLlypbFv3z5j3bp1xvjx442wsDDn30XqU8+zYcMGw8/Pz3j66aeNPXv2GO+++64RHBxsLF682NnGk/pVIcuDvPzyy0bnzp2NgIAA44orrnBOFS0t34oVKwzgjNedd95pGEbDtKRPPPGEERMTY5jNZuPqq682tmzZ4t6i5SedrT8BY9GiRc426lfP86tf/cr5/9n27dsbo0aNcgYsw1CfeovTQ5b61fNMnjzZiI2NNfz9/Y24uDjjlltuMbZt2+bcrz71TJ988omRlJRkmM1mo1evXsb8+fMb7fekfjUZhmG4ZwxNRERERETE++iZLBERERERERdSyBIREREREXEhhSwREREREREXUsgSERERERFxIYUsERERERERF1LIEhERERERcSGFLBERERERERdSyBIREREREXEhhSwREREREREXUsgSERERERFxIYUsERERERERF1LIEhERERERcaH/D149nd66rliGAAAAAElFTkSuQmCC", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import numpy as np\n", "import pandas as pd\n", "import matplotlib.pyplot as plt\n", "import seaborn as sns\n", "from statsmodels.tsa.arima.model import ARIMA\n", "from arch import arch_model\n", "from sklearn.metrics import mean_absolute_error\n", "\n", "# 🔹 Step 1: Train-Test Split (80% Train, 20% Test)\n", "split_idx = int(len(series) * 0.8) # 80% Train, 20% Test\n", "train, test = series[:split_idx], series[split_idx:]\n", "\n", "# 🔹 Step 2: Define ARIMA and GARCH Parameters\n", "p, d, q = 1, 2, 1 # Set based on ACF/PACF analysis\n", "garch_p, garch_q = 1, 1 # GARCH hyperparameters\n", "\n", "# 🔹 Step 3: Train ARIMA Model on Full Training Data\n", "arima_model = ARIMA(train, order=(p, d, q))\n", "arima_fit = arima_model.fit()\n", "\n", "# 🔹 Step 4: Forecast ARIMA on Test Set\n", "arima_forecast = arima_fit.forecast(steps=len(test))\n", "\n", "# 🔹 Step 5: Evaluate ARIMA Model Performance\n", "arima_mae = mean_absolute_error(test, arima_forecast)\n", "print(f\"ARIMA MAE: {arima_mae}\")\n", "\n", "# 🔹 Step 6: Extract ARIMA Residuals\n", "residuals = arima_fit.resid\n", "\n", "# Scale residuals to avoid GARCH convergence issues\n", "residuals_scaled = residuals * 0.01 # Recommended rescaling\n", "\n", "# Plot histogram of residuals\n", "sns.histplot(residuals_scaled, kde=True)\n", "plt.title(\"Residual Distribution (After Scaling)\")\n", "plt.show()\n", "\n", "# Check basic statistics\n", "print(residuals_scaled.describe())\n", "\n", "# 🔹 Step 7: Fit GARCH Model on Scaled Residuals\n", "garch_model = arch_model(residuals_scaled, vol='Garch', p=garch_p, q=garch_q)\n", "garch_fit = garch_model.fit(disp=\"off\")\n", "\n", "# 🔹 Step 8: Forecast GARCH Volatility\n", "garch_forecast = garch_fit.forecast(horizon=len(test))\n", "\n", "# Ensure forecast is valid before extracting variance\n", "if not garch_forecast.variance.empty:\n", " volatility_forecast = np.sqrt(garch_forecast.variance.iloc[-1].values[0]) / 0.01 # Rescale back\n", "else:\n", " volatility_forecast = np.zeros(len(test)) # Default if GARCH forecast fails\n", "\n", "# 🔹 Step 9: Visualize Results\n", "plt.figure(figsize=(10,5))\n", "plt.plot(train, label=\"Train Data\")\n", "plt.plot(test.index, test, label=\"Actual Test Data\", color=\"green\")\n", "plt.plot(test.index, arima_forecast, label=\"ARIMA Forecast\", color=\"red\")\n", "plt.fill_between(test.index, arima_forecast - volatility_forecast, arima_forecast + volatility_forecast, color='red', alpha=0.2, label=\"GARCH Volatility\")\n", "plt.legend()\n", "plt.title(\"ARIMA-GARCH Forecast vs Actual Data\")\n", "plt.show()\n" ] }, { "cell_type": "code", "execution_count": 74, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ " lb_stat lb_pvalue\n", "10 12.85165 0.232085\n" ] } ], "source": [ "from statsmodels.stats.diagnostic import acorr_ljungbox\n", "\n", "# Perform the Ljung-Box test\n", "ljung_box_results = acorr_ljungbox(residuals, lags=[10], return_df=True)\n", "print(ljung_box_results)" ] }, { "cell_type": "code", "execution_count": 70, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Holdout MAE: 15962.390829966775\n" ] }, { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Train ARIMA on full training set\n", "final_model = ARIMA(train, order=(p, d, q))\n", "final_model_fit = final_model.fit()\n", "\n", "# Forecast for Holdout Period\n", "holdout_forecast = final_model_fit.forecast(steps=len(holdout))\n", "\n", "# Evaluate performance on holdout set\n", "holdout_mae = mean_absolute_error(holdout, holdout_forecast)\n", "print(f\"Holdout MAE: {holdout_mae}\")\n", "\n", "# Plot Predictions vs Actual\n", "plt.figure(figsize=(10, 4))\n", "plt.plot(train, label=\"Training Data\")\n", "plt.plot(holdout, label=\"Actual Holdout Data\", color=\"red\")\n", "plt.plot(holdout.index, holdout_forecast, label=\"Holdout Forecast\", linestyle=\"dashed\", color=\"green\")\n", "plt.title(\"Final Model Evaluation on Holdout Data\")\n", "plt.legend()\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 71, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "residuals = arima_fit.resid # Get residuals from ARIMA\n", "plt.figure(figsize=(10, 4))\n", "plt.plot(residuals, label=\"ARIMA Residuals\")\n", "plt.title(\"ARIMA Residuals (Input for GARCH)\")\n", "plt.legend()\n", "plt.show()" ] } ], "metadata": { "kernelspec": { "display_name": "ai_env", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.10.16" } }, "nbformat": 4, "nbformat_minor": 2 }