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Price-Forescast-Linear-Regression.ipynb
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{
"nbformat": 4,
"nbformat_minor": 0,
"metadata": {
"colab": {
"provenance": [],
"name": "Price-Forescast-Linear-Regression.ipynb",
"authorship_tag": "ABX9TyOXVBCKBudaGyhlkWUsAcdJ",
"include_colab_link": true
},
"kernelspec": {
"name": "python3",
"display_name": "Python 3"
},
"language_info": {
"name": "python"
}
},
"cells": [
{
"cell_type": "markdown",
"metadata": {
"id": "view-in-github",
"colab_type": "text"
},
"source": [
"<a href=\"https://colab.research.google.com/gist/CY0xZ/e3389b35bae38b5de1c3b7cc417cc52c/advanced-price-forescast-linear-regression.ipynb\" target=\"_parent\"><img src=\"https://colab.research.google.com/assets/colab-badge.svg\" alt=\"Open In Colab\"/></a>"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"id": "FZ24b97DEZUf"
},
"outputs": [],
"source": [
"import pandas as pd\n",
"import numpy as np\n",
"import matplotlib.pyplot as plt\n",
"from sklearn.linear_model import LinearRegression\n",
"from sklearn.metrics import mean_squared_error, r2_score\n",
"import yfinance as yf"
]
},
{
"cell_type": "markdown",
"source": [
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)"
],
"metadata": {
"id": "J3FU90qAEyph"
}
},
{
"cell_type": "code",
"source": [
"# Fetching historical data\n",
"data = yf.download('BTC-USD', start='2017-11-01', end='2024-05-01', progress=True)\n",
"data['Day'] = np.arange(len(data))"
],
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/"
},
"id": "TlZ3U86MEg9F",
"outputId": "af48b3f2-ec31-4cbb-e366-a78bcc0936bd"
},
"execution_count": null,
"outputs": [
{
"output_type": "stream",
"name": "stderr",
"text": [
"\r[*********************100%%**********************] 1 of 1 completed\n"
]
}
]
},
{
"cell_type": "code",
"source": [
"# Preparing the data for regression\n",
"X = data[['Day']] # Independent variable: days\n",
"y = data['Adj Close'] # Dependent variable: adjusted close price"
],
"metadata": {
"id": "5VIEb4XFFo4b"
},
"execution_count": null,
"outputs": []
},
{
"cell_type": "code",
"source": [
"model = LinearRegression()\n",
"model.fit(X,y)"
],
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 75
},
"id": "j2M33F5jGTfz",
"outputId": "19f03949-45f9-4827-ce74-388d45e10133"
},
"execution_count": null,
"outputs": [
{
"output_type": "execute_result",
"data": {
"text/plain": [
"LinearRegression()"
],
"text/html": [
"<style>#sk-container-id-4 {color: black;background-color: white;}#sk-container-id-4 pre{padding: 0;}#sk-container-id-4 div.sk-toggleable {background-color: white;}#sk-container-id-4 label.sk-toggleable__label {cursor: pointer;display: block;width: 100%;margin-bottom: 0;padding: 0.3em;box-sizing: border-box;text-align: center;}#sk-container-id-4 label.sk-toggleable__label-arrow:before {content: \"▸\";float: left;margin-right: 0.25em;color: #696969;}#sk-container-id-4 label.sk-toggleable__label-arrow:hover:before {color: black;}#sk-container-id-4 div.sk-estimator:hover label.sk-toggleable__label-arrow:before {color: black;}#sk-container-id-4 div.sk-toggleable__content {max-height: 0;max-width: 0;overflow: hidden;text-align: left;background-color: #f0f8ff;}#sk-container-id-4 div.sk-toggleable__content pre {margin: 0.2em;color: black;border-radius: 0.25em;background-color: #f0f8ff;}#sk-container-id-4 input.sk-toggleable__control:checked~div.sk-toggleable__content {max-height: 200px;max-width: 100%;overflow: auto;}#sk-container-id-4 input.sk-toggleable__control:checked~label.sk-toggleable__label-arrow:before {content: \"▾\";}#sk-container-id-4 div.sk-estimator input.sk-toggleable__control:checked~label.sk-toggleable__label {background-color: #d4ebff;}#sk-container-id-4 div.sk-label input.sk-toggleable__control:checked~label.sk-toggleable__label {background-color: #d4ebff;}#sk-container-id-4 input.sk-hidden--visually {border: 0;clip: rect(1px 1px 1px 1px);clip: rect(1px, 1px, 1px, 1px);height: 1px;margin: -1px;overflow: hidden;padding: 0;position: absolute;width: 1px;}#sk-container-id-4 div.sk-estimator {font-family: monospace;background-color: #f0f8ff;border: 1px dotted black;border-radius: 0.25em;box-sizing: border-box;margin-bottom: 0.5em;}#sk-container-id-4 div.sk-estimator:hover {background-color: #d4ebff;}#sk-container-id-4 div.sk-parallel-item::after {content: \"\";width: 100%;border-bottom: 1px solid gray;flex-grow: 1;}#sk-container-id-4 div.sk-label:hover label.sk-toggleable__label {background-color: #d4ebff;}#sk-container-id-4 div.sk-serial::before {content: \"\";position: absolute;border-left: 1px solid gray;box-sizing: border-box;top: 0;bottom: 0;left: 50%;z-index: 0;}#sk-container-id-4 div.sk-serial {display: flex;flex-direction: column;align-items: center;background-color: white;padding-right: 0.2em;padding-left: 0.2em;position: relative;}#sk-container-id-4 div.sk-item {position: relative;z-index: 1;}#sk-container-id-4 div.sk-parallel {display: flex;align-items: stretch;justify-content: center;background-color: white;position: relative;}#sk-container-id-4 div.sk-item::before, #sk-container-id-4 div.sk-parallel-item::before {content: \"\";position: absolute;border-left: 1px solid gray;box-sizing: border-box;top: 0;bottom: 0;left: 50%;z-index: -1;}#sk-container-id-4 div.sk-parallel-item {display: flex;flex-direction: column;z-index: 1;position: relative;background-color: white;}#sk-container-id-4 div.sk-parallel-item:first-child::after {align-self: flex-end;width: 50%;}#sk-container-id-4 div.sk-parallel-item:last-child::after {align-self: flex-start;width: 50%;}#sk-container-id-4 div.sk-parallel-item:only-child::after {width: 0;}#sk-container-id-4 div.sk-dashed-wrapped {border: 1px dashed gray;margin: 0 0.4em 0.5em 0.4em;box-sizing: border-box;padding-bottom: 0.4em;background-color: white;}#sk-container-id-4 div.sk-label label {font-family: monospace;font-weight: bold;display: inline-block;line-height: 1.2em;}#sk-container-id-4 div.sk-label-container {text-align: center;}#sk-container-id-4 div.sk-container {/* jupyter's `normalize.less` sets `[hidden] { display: none; }` but bootstrap.min.css set `[hidden] { display: none !important; }` so we also need the `!important` here to be able to override the default hidden behavior on the sphinx rendered scikit-learn.org. See: https://github.com/scikit-learn/scikit-learn/issues/21755 */display: inline-block !important;position: relative;}#sk-container-id-4 div.sk-text-repr-fallback {display: none;}</style><div id=\"sk-container-id-4\" class=\"sk-top-container\"><div class=\"sk-text-repr-fallback\"><pre>LinearRegression()</pre><b>In a Jupyter environment, please rerun this cell to show the HTML representation or trust the notebook. <br />On GitHub, the HTML representation is unable to render, please try loading this page with nbviewer.org.</b></div><div class=\"sk-container\" hidden><div class=\"sk-item\"><div class=\"sk-estimator sk-toggleable\"><input class=\"sk-toggleable__control sk-hidden--visually\" id=\"sk-estimator-id-4\" type=\"checkbox\" checked><label for=\"sk-estimator-id-4\" class=\"sk-toggleable__label sk-toggleable__label-arrow\">LinearRegression</label><div class=\"sk-toggleable__content\"><pre>LinearRegression()</pre></div></div></div></div></div>"
]
},
"metadata": {},
"execution_count": 37
}
]
},
{
"cell_type": "code",
"source": [
"data['Predicted'] = model.predict(X)"
],
"metadata": {
"id": "6U1x_yETGU1A"
},
"execution_count": null,
"outputs": []
},
{
"cell_type": "code",
"source": [
"data.Predicted"
],
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/"
},
"id": "SEjlI2IOGjUW",
"outputId": "5e58abfb-25d8-44ae-d575-f604b7154dcb"
},
"execution_count": null,
"outputs": [
{
"output_type": "execute_result",
"data": {
"text/plain": [
"Date\n",
"2017-11-01 2776.809267\n",
"2017-11-02 2794.093154\n",
"2017-11-03 2811.377040\n",
"2017-11-04 2828.660927\n",
"2017-11-05 2845.944814\n",
" ... \n",
"2024-04-26 43705.052994\n",
"2024-04-27 43722.336881\n",
"2024-04-28 43739.620767\n",
"2024-04-29 43756.904654\n",
"2024-04-30 43774.188541\n",
"Name: Predicted, Length: 2373, dtype: float64"
]
},
"metadata": {},
"execution_count": 39
}
]
},
{
"cell_type": "code",
"source": [
"mse = mean_squared_error(y, data['Predicted'])\n",
"r2 = r2_score(y, data['Predicted'])"
],
"metadata": {
"id": "wJoeO2WlGp5L"
},
"execution_count": null,
"outputs": []
},
{
"cell_type": "code",
"source": [
"print(f\"Model Coefficients: {model.coef_[0]}\")\n",
"print(f\"Model Intercept: {model.intercept_}\")\n",
"print(f\"Mean Squared Error: {mse}\")\n",
"print(f\"Coefficient of Determination (R^2): {r2}\")"
],
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/"
},
"id": "8A-K4PdBGz17",
"outputId": "c697a927-a776-444a-f7ad-5e4755686e47"
},
"execution_count": null,
"outputs": [
{
"output_type": "stream",
"name": "stdout",
"text": [
"Model Coefficients: 17.28388670895097\n",
"Model Intercept: 2776.8092670719634\n",
"Mean Squared Error: 165443181.0789679\n",
"Coefficient of Determination (R^2): 0.45867563928569166\n"
]
}
]
},
{
"cell_type": "code",
"source": [
"plt.figure(figsize=(10,6))\n",
"plt.plot(data['Adj Close'],label='Actual Price', color='blue')\n",
"plt.plot(data['Predicted'],label='Predicted Price', color= 'red',linestyle='--')\n",
"plt.title('Linear Regression Model for AAPL Stock Price Prediction')\n",
"plt.xlabel('Days')\n",
"plt.ylabel('Price')\n",
"plt.legend()\n",
"plt.show()"
],
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 564
},
"id": "-DIrC7ruG6cB",
"outputId": "32adfd0a-6caa-4084-c25d-f756717741cf"
},
"execution_count": null,
"outputs": [
{
"output_type": "display_data",
"data": {
"text/plain": [
"<Figure size 1000x600 with 1 Axes>"
],
"image/png": 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HB7169bKqr+XLl0doaChKlCiBd999F2XKlMHvv/+um3t28uRJXLp0CW+//TYePnyo62tiYiKaN2+OP/74A1qtFunp6dixYwfatWunmk9TpkwZs9+cNm7cWDXPSJIkrF+/Hq+++iokSVK9NlFRUYiPj9cNNwwJCcG///6Lo0ePmn1uISEhOHz4sKpKXWY2b94MT09PDBkyRLV/xIgRkCTJqHJfixYtVN8+V6tWDUFBQarfd2YqV66MatWqYdWqVQCAH374Aa+//rrJ+X87duxASkoKhg4dCg8P/b+aPn36ICgoCJs2bQIA/PXXX7h37x769++vmnfVs2dPBAcHq465du1aVKxYERUqVFC95s2aNQMA1fsxOzZv3ozw8HB06dJFt8/LywtDhgzB06dPsXfvXlX79u3bm82uGnr48CG2bt2qOnb79u2h0WiwZs0ao/Z///03Tp8+rWrfpUsXPHjwAFu3bjVqn5iYiNDQUISGhqJMmTL45JNPEBkZiZ9//tmi/mXEz88Phw8f1g0FXLp0KXr37o3ChQtj8ODBFg0btfR9u2HDBmi1WowdO1b1/gFgMjM3depUfPDBB/jiiy+MCs9k5Pz587rXq2LFivj6668RHR1tNHzP8DPAFK1Wiw0bNuDVV19F7dq1jW6X+7127Vo0bNgQ+fLlU72PW7RogfT0dPzxxx9267c1n12bN29G4cKF0aFDB939/f39ddmsjKxfvx4ajcZksRxzmdWMWPp5IgsMDFTNsfP29kbdunWt+rwjciQOWSTKpeQx/Ur58uVTzQ27dOkS4uPjUahQIZPHuHfvnm77zJkzGDNmDHbt2oWEhARVu/j4eNX1F154IdOiB4bWr1+PoKAg3L9/H7Nnz0ZMTIwqCLx06RIAoEePHmaPER8fj+fPnyMpKQllypQxut3UPgAoWbKk6vr9+/cRFxeHb7/9Ft9++63J+8ivzUcffYQdO3agbt26KFOmDFq1aoW3335bNQ9n6tSp6NGjB4oWLYpatWqhbdu26N69O0qVKmX2uVy/fh0RERHImzevan/FihV1tysVK1bM6BiGv29LvP3225g+fTqGDRuGAwcOmJ3/Jz9++fLlVfu9vb1RqlQp3e3yZdmyZVXtvLy8jJ7/pUuXcO7cObPBj/L9mB3Xr19H2bJljQIBc6+t4fsjI6tXr0ZqaipefPFFXL58Wbe/Xr16WLlyJQYOHKhqv2LFCgQEBKBUqVK69r6+vrrqjNHR0ar2vr6++O233wBAN3+pSJEiFvcvM8HBwZg6dSqmTp2K69evY+fOnZg2bRrmzJmD4ODgTIcJWvq+vXLlCjw8PCwquLJ3715s2rQJH330kdXzxkqUKIHvvvtOV/yobNmyJj/vLPkd379/HwkJCahSpUqG7S5duoS///47W+/jrPbbms+u69evo0yZMkYBlOHftClXrlxBREREpsN3LWXp54msSJEiRv3Oly8f/v77b5v0h8jWGJAR5VKWVLDSarUoVKgQVq5cafJ2+YQiLi4OjRs3RlBQECZOnIjSpUvD19cXx48fx0cffWQ0UV0ZSFmqUaNGuiqLr776KqpWrYquXbvi2LFj8PDw0D3Gl19+iRo1apg8RmBgIJ4/f271Yxv2V36sd955x2wAWK1aNQDiRPPChQvYuHEjtmzZgvXr12PevHkYO3YsJkyYAADo2LEjGjZsiJ9//hnbtm3Dl19+iS+++AI//fSTzeY7mPt9SyYKKWSkS5cuGD16NPr06YMCBQqYnctjD1qtFlWrVsWMGTNM3q6cb+ZI1ryf5b8lU4UxADEPSA5EJUnCqlWrkJiYaDIwuXfvHp4+fapa/83T0xMtWrSwpvtZVrx4cbz77rt44403UKpUqQzL8dtT5cqVERcXh+XLl6Nfv35WBcgBAQEWvV5Z+cwyR6vVomXLlhg1apTJ28uVK5fpMbLab2s+u9yZrT7viByFARkRmVW6dGns2LEDDRo0yPCEZM+ePXj48CF++uknNGrUSLc/JibGLv0KDAzEuHHj0KtXL6xZswadO3fWDccLCgrK8ESlUKFC8PX1VWUnZKb2mRIaGoq8efMiPT3dopOigIAAdOrUCZ06dUJKSgrefPNNfPbZZxg9erSuBHXhwoXx/vvv4/3338e9e/dQs2ZNfPbZZ2YDsuLFi2PHjh148uSJKtsgDw+VCzDYWrFixdCgQQPs2bMHAwYMMLsGk/z4Fy5cUGW6UlJSEBMTo3vd5HaXLl3SDT0ExJpXMTExqhL7pUuXxqlTp9C8efMsDXuyVPHixfH3339Dq9WqsmTZfW3l6oiDBg1C48aNVbdptVp069YNP/zwg27I3d69e/Hvv/9i4sSJugyS7PHjx+jbty82bNigGprlDPny5UPp0qXxzz//6PaZ+/1Y+r4tXbo0tFotzp49a/YLFlnBggWxbt06vPzyy2jevDn279+frfL+WRUaGoqgoCDV62BK6dKl8fTpU4cFzkrWfHYVL14c//zzDyRJUv0+L1y4kOnjlC5dGlu3bsWjR48yzJJZ+nds6ecJkbviHDIiMqtjx45IT0/HpEmTjG5LS0vTlRuWv41UfvuYkpKCefPm2a1vXbt2RZEiRfDFF18AAGrVqoXSpUtj2rRpePr0qVF7uRS0nEHYsGGDas7W5cuXjeZdmePp6Yn27dtj/fr1Jk++5McCxJwhJW9vb1SqVAmSJCE1NRXp6elGQzoLFSqEiIiIDOfktG3bFunp6ZgzZ45q/1dffQWNRmPXSmKffvopxo0bh8GDB5tt06JFC3h7e2P27Nmq98WiRYsQHx+vG2pXu3ZthIaGYsGCBaqy4EuXLjUqZ92xY0fcunUL3333ndHjJSUlITExMZvPTGjbti1iY2OxevVq3b60tDR8/fXXCAwMNAqmLCVnx0aNGoUOHTqofjp27IjGjRurstHycMWRI0cate/Tpw/Kli1rNnttD6dOncKDBw+M9l+/fh1nz55VDSeT11Qz/B1a+r5t164dPDw8MHHiRKMMu6ksR5EiRbBjxw4kJSWhZcuWRn93juDh4YF27drht99+05V2V5L73bFjRxw8eNDkHMC4uDikpaXZrY/WfHa1bdsWt2/fxrp163T7nj17Znaoo1L79u0hSZJuFICS8vcXEBBgchkMQ5Z+nhC5K2bIiHKAxYsXmyw7blie21qNGzdGv379MGXKFJw8eRKtWrWCl5cXLl26hLVr12LWrFno0KEDXnrpJeTLlw89evTAkCFDoNFosHz5crsOD/Hy8sIHH3yAkSNHYsuWLWjdujUWLlyINm3aoHLlyujVqxdeeOEF3Lp1C7t370ZQUJBubs348eOxbds2NGjQAAMGDNCdIFapUgUnT5606PE///xz7N69G/Xq1UOfPn1QqVIlPHr0CMePH8eOHTvw6NEjAECrVq0QHh6OBg0aICwsDOfOncOcOXMQHR2NvHnzIi4uDkWKFEGHDh1QvXp1BAYGYseOHTh69CimT59u9vFfffVVNG3aFP/73/9w7do1VK9eHdu2bcMvv/yCoUOHZlg+OrsaN26caVASGhqK0aNHY8KECWjdujVee+01XLhwAfPmzUOdOnV0WR0vLy98+umn6NevH5o1a4ZOnTohJiYGS5YsMZpD1q1bN6xZswb9+/fH7t270aBBA6Snp+P8+fNYs2YNtm7darKYgrX69u2Lb775Bj179sSxY8dQokQJrFu3Dn/++SdmzpxpNP/JUitXrkSNGjXMDq187bXXMHjwYBw/fhyVK1fG+vXr0bJlS7ML+b722muYNWsW7t27Z3aeZ0ZmzJhhVJDFw8PD7LzA7du3Y9y4cXjttddQv359BAYG4urVq1i8eDGSk5NV63HVqlULADBkyBBERUXB09MTnTt3tvh9W6ZMGfzvf//DpEmT0LBhQ7z55pvw8fHB0aNHERERgSlTphj1r0yZMti2bRuaNGmCqKgo7Nq1S7c2mqNMnjwZ27ZtQ+PGjXVLM9y5cwdr167F/v37ERISgpEjR+LXX3/FK6+8gp49e6JWrVpITEzE6dOnsW7dOly7dk03PNseLP3s6tOnD+bMmYPu3bvj2LFjKFy4MJYvX26yiI+hpk2bolu3bpg9ezYuXbqE1q1bQ6vVYt++fWjatCkGDRoEQLxPduzYoVu0vGTJkqhXr57R8Sz9PCFyWw6u6khENiSXBjb3c/PmTbNl75UlymVyOWxD3377rVSrVi3Jz89Pyps3r1S1alVp1KhR0u3bt3Vt/vzzT6l+/fqSn5+fFBERIY0aNUraunWrUXnkxo0bZ1oG3lSfTJXojo+Pl4KDg1Wl0U+cOCG9+eabUoECBSQfHx+pePHiUseOHaWdO3eq7rtz507pxRdflLy9vaXSpUtLCxculEaMGCH5+vqq2gEwW5L+7t270sCBA6WiRYtKXl5eUnh4uNS8eXPp22+/1bX55ptvpEaNGun6U7p0aWnkyJFSfHy8JEmiHPPIkSOl6tWrS3nz5pUCAgKk6tWrS/PmzVM9lmFZaUmSpCdPnkjDhg2TIiIiJC8vL6ls2bLSl19+qSorndFzsKQ0vLLsfUbMvafmzJkjVahQQfLy8pLCwsKkAQMGSI8fPzZqN2/ePKlkyZKSj4+PVLt2bemPP/6QGjdurPrdSpIoP//FF19IlStXlnx8fKR8+fJJtWrVkiZMmKB7TS19bnI7w7L3kiR+t7169ZIKFiwoeXt7S1WrVlX9DUmS5a+NJEnSsWPHJADS//3f/5ltc+3aNQmANGzYMGn9+vUSAGnRokVm2+/Zs0cCIM2aNUuSJPO/A0Py35SpH09PT7P3u3r1qjR27Fipfv36UqFChaQ8efJIoaGhUnR0tLRr1y5V27S0NGnw4MFSaGiopNFoVJ8rlr5vJUmSFi9eLL344ou633Xjxo2l7du362439fs7fPiwlDdvXqlRo0Yml+OQWfpZlNFnAAzK3kuSJF2/fl3q3r27FBoaKvn4+EilSpWSBg4cqFrW4cmTJ9Lo0aOlMmXKSN7e3lLBggWll156SZo2bZqUkpKSYX9s0W9LPrvk5/Laa69J/v7+UsGCBaUPPvhAt+xJRmXvJUm8B7788kupQoUKkre3txQaGiq1adNGOnbsmK7N+fPnpUaNGkl+fn4SAN3frGHZe5klnyfmXh9TfSRyFRpJ4gxHIiJADJM6c+aMrmIjERERkb1xDhkR5UpJSUmq65cuXcLmzZvRpEkT53SIiIiIciVmyIgoVypcuDB69uypW8Nm/vz5SE5OxokTJ4zWxCIiIiKyFxb1IKJcqXXr1li1ahViY2Ph4+ODyMhITJ48mcEYERERORQzZERERERERE7COWREREREREROwoCMiIiIiIjISTiHzEa0Wi1u376NvHnzQqPROLs7RERERETkJJIk4cmTJ4iIiICHR8Y5MAZkNnL79m0ULVrU2d0gIiIiIiIXcfPmTRQpUiTDNgzIbCRv3rwAxIseFBTk5N4QEREREZGzJCQkoGjRoroYISMMyGxEHqYYFBTEgIyIiIiIiCyaysSiHkRERERERE7CgIyIiIiIiMhJGJARERERERE5CeeQOZAkSUhLS0N6erqzu0I5jKenJ/LkycMlF4iIiIjcDAMyB0lJScGdO3fw7NkzZ3eFcih/f38ULlwY3t7ezu4KEREREVmIAZkDaLVaxMTEwNPTExEREfD29mYmg2xGkiSkpKTg/v37iImJQdmyZTNdgJCIiIiIXAMDMgdISUmBVqtF0aJF4e/v7+zuUA7k5+cHLy8vXL9+HSkpKfD19XV2l4iIiIjIAvwa3YGYtSB74vuLiIiIyP3wDI6IiIiIiMhJGJARERERERE5CQMycmsajQYbNmyw+XFLlCiBmTNn2vy4RERERERKDMjIIgcPHoSnpyeio6Otvq8zg5uePXtCo9FAo9HA29sbZcqUwcSJE5GWlpbh/Y4ePYq+ffs6qJdERERElFsxICOLLFq0CIMHD8Yff/yB27dvO7s7VmndujXu3LmDS5cuYcSIERg/fjy+/PJLk21TUlIAAKGhoayISURERER2x4DMSSQJSEx0/I8kWd/Xp0+fYvXq1RgwYACio6OxdOlSoza//fYb6tSpA19fXxQsWBBvvPEGAKBJkya4fv06hg0bpstUAcD48eNRo0YN1TFmzpyJEiVK6K4fPXoULVu2RMGCBREcHIzGjRvj+PHjVvffx8cH4eHhKF68OAYMGIAWLVrg119/BSAyaO3atcNnn32GiIgIlC9fHoBxVi8uLg79+vVDWFgYfH19UaVKFWzcuFF3+/79+9GwYUP4+fmhaNGiGDJkCBITE63uKxERERHlLgzInOTZMyAw0PE/z55Z39c1a9agQoUKKF++PN555x0sXrwYkiKy27RpE9544w20bdsWJ06cwM6dO1G3bl0AwE8//YQiRYpg4sSJuHPnDu7cuWPx4z558gQ9evTA/v37cejQIZQtWxZt27bFkydPrH8SCn5+frpMGADs3LkTFy5cwPbt21VBlkyr1aJNmzb4888/sWLFCpw9exaff/45PD09AQBXrlxB69at0b59e/z9999YvXo19u/fj0GDBmWrn0RERESU83FhaMrUokWL8M477wAQw//i4+Oxd+9eNGnSBADw2WefoXPnzpgwYYLuPtWrVwcA5M+fH56ensibNy/Cw8OtetxmzZqprn/77bcICQnB3r178corr1j9PCRJws6dO7F161YMHjxYtz8gIAALFy6Et7e3yfvt2LEDR44cwblz51CuXDkAQKlSpXS3T5kyBV27dsXQoUMBAGXLlsXs2bPRuHFjzJ8/n4s0ExEREZFZDMicxN8fePrUOY9rjQsXLuDIkSP4+eefAQB58uRBp06dsGjRIl1AdvLkSfTp08fGPQXu3r2LMWPGYM+ePbh37x7S09Px7Nkz3Lhxw6rjbNy4EYGBgUhNTYVWq8Xbb7+N8ePH626vWrWq2WAMEM+vSJEiumDM0KlTp/D3339j5cqVun2SJEGr1SImJgYVK1a0qr9EREREuZUkAUePApUrAwEBzu6NYzAgcxKNxj3eZIsWLUJaWhoiIiJ0+yRJgo+PD+bMmYPg4GD4+flZfVwPDw/VsEcASE1NVV3v0aMHHj58iFmzZqF48eLw8fFBZGSkarihJZo2bYr58+fD29sbERERyJNH/bYPyOQXkdnze/r0Kfr164chQ4YY3VasWDGr+kpERESUm61YAXTvDtSrBxw65OzeOAYDMjIrLS0N33//PaZPn45WrVqpbmvXrh1WrVqF/v37o1q1ati5cyd69epl8jje3t5IT09X7QsNDUVsbCwkSdIV+jh58qSqzZ9//ol58+ahbdu2AICbN2/iwYMHVj+PgIAAlClTxur7yapVq4Z///0XFy9eNJklq1mzJs6ePZutxyAiIiIiYOFCcXn4sHP74Ugs6kFmbdy4EY8fP0bv3r1RpUoV1U/79u2xaNEiAMC4ceOwatUqjBs3DufOncPp06fxxRdf6I5TokQJ/PHHH7h165YuoGrSpAnu37+PqVOn4sqVK5g7dy5+//131eOXLVsWy5cvx7lz53D48GF07do1S9m47GrcuDEaNWqE9u3bY/v27YiJicHvv/+OLVu2AAA++ugjHDhwAIMGDcLJkydx6dIl/PLLLyzqQURERGSlrFQEd3cMyMisRYsWoUWLFggODja6rX379vjrr7/w999/o0mTJli7di1+/fVX1KhRA82aNcORI0d0bSdOnIhr166hdOnSCA0NBQBUrFgR8+bNw9y5c1G9enUcOXIEH374odHjP378GDVr1kS3bt0wZMgQFCpUyL5P2oz169ejTp066NKlCypVqoRRo0bpsn7VqlXD3r17cfHiRTRs2BAvvvgixo4dqxrmSURERESZy40BmUYynMhDWZKQkIDg4GDEx8cjKChIddvz588RExODkiVLsuIe2Q3fZ0REROTuXn4Z+PNPse3OUUpGsYEhZsiIiIiIiMglyMFYbsKAjIiIiIiIyEkYkBERERERETkJAzIiIiIiInI6rTbzNmfOAKNGAQ8f2r8/jsJ1yIiIiIiIyOkMlq01qUoVcXnjBvDjj/btj6MwICMiIiIiIqdLSzN/28CBQHKy/vrRo/bvj6MwICMiIiIiIqczDMi0WsDDA3jyBJg3zzl9cgTOISMiIiIiIqczDMhSUsRlaqpxW43G/v1xFAZkRERERETkdIaBlxyQXbli3JYBGZEd9OzZE+3atdNdb9KkCYYOHerwfuzZswcajQZxcXE2Pe61a9eg0Whw8uRJmx6XiIiIKCcwzJDJc8bq1jVue/my/fvjKE4NyEqUKAGNRmP0M3DgQADA8+fPMXDgQBQoUACBgYFo37497t69qzrGjRs3EB0dDX9/fxQqVAgjR45EmsFvc8+ePahZsyZ8fHxQpkwZLF261Kgvc+fORYkSJeDr64t69erhyJEjdnve7qRnz56634u3tzfKlCmDiRMnGr3G9vDTTz9h0qRJFrW1VxBljvK9GxAQgJo1a2Lt2rUZ3qdo0aK4c+cOqsjlgYiIiIhIx1xAZs7z5/briyM5NSA7evQo7ty5o/vZvn07AOCtt94CAAwbNgy//fYb1q5di7179+L27dt48803dfdPT09HdHQ0UlJScODAASxbtgxLly7F2LFjdW1iYmIQHR2Npk2b4uTJkxg6dCjee+89bN26Vddm9erVGD58OMaNG4fjx4+jevXqiIqKwr179xz0Sri21q1b486dO7h06RJGjBiB8ePH48svvzTZNkXOLdtA/vz5kTdvXpsdz9YmTpyIO3fu4MSJE6hTpw46deqEAwcOmGybkpICT09PhIeHI08e1tIhIiIiMmQqIJMk8+1zyqm6UwOy0NBQhIeH6342btyI0qVLo3HjxoiPj8eiRYswY8YMNGvWDLVq1cKSJUtw4MABHDp0CACwbds2nD17FitWrECNGjXQpk0bTJo0CXPnztUFBgsWLEDJkiUxffp0VKxYEYMGDUKHDh3w1Vdf6foxY8YM9OnTB7169UKlSpWwYMEC+Pv7Y/HixfZ/ERITzf8Yhv0ZtU1KyrxtFvn4+CA8PBzFixfHgAED0KJFC/z6668A9MMMP/vsM0RERKB8+fIAgJs3b6Jjx44ICQlB/vz58frrr+PatWu6Y6anp2P48OEICQlBgQIFMGrUKEgGf3GGQxaTk5Px0UcfoWjRorps56JFi3Dt2jU0bdoUAJAvXz5oNBr07NkTAKDVajFlyhSULFkSfn5+qF69OtatW6d6nM2bN6NcuXLw8/ND06ZNVf3MSN68eREeHo5y5cph7ty58PPzw2+//QZAZNAmTZqE7t27IygoCH379jU5ZPHMmTN45ZVXEBQUhLx586Jhw4a4ohgovXDhQlSsWBG+vr6oUKEC5uXkEkNERESUq5kKyDLKkhkMnHNbLjOHLCUlBStWrMC7774LjUaDY8eOITU1FS1atNC1qVChAooVK4aDBw8CAA4ePIiqVasiLCxM1yYqKgoJCQk4c+aMro3yGHIb+RgpKSk4duyYqo2HhwdatGiha2NKcnIyEhISVD9ZEhho/qd9e3XbQoXMt23TRt22RAnjNjbi5+enyoTt3LkTFy5cwPbt27Fx40akpqYiKioKefPmxb59+/Dnn38iMDAQrVu31t1v+vTpWLp0KRYvXoz9+/fj0aNH+PnnnzN83O7du2PVqlWYPXs2zp07h2+++QaBgYEoWrQo1q9fDwC4cOEC7ty5g1mzZgEApkyZgu+//x4LFizAmTNnMGzYMLzzzjvYu3cvABE4vvnmm3j11Vdx8uRJvPfee/j444+tfk3y5MkDLy8v1esybdo0VK9eHSdOnMD//d//Gd3n1q1baNSoEXx8fLBr1y4cO3YM7777rm446MqVKzF27Fh89tlnOHfuHCZPnoz/+7//w7Jly6zuHxEREZGrMxWQrV5tvn1srH374yguM3Zqw4YNiIuL02U2YmNj4e3tjZCQEFW7sLAwxP736sfGxqqCMfl2+baM2iQkJCApKQmPHz9Genq6yTbnz583298pU6ZgwoQJVj9PdyZJEnbu3ImtW7di8ODBuv0BAQFYuHAhvL29AQArVqyAVqvFwoULofmvBM6SJUsQEhKCPXv2oFWrVpg5cyZGjx6tG4K6YMEC1TBSQxcvXsSaNWuwfft2XfBcqlQp3e358+cHABQqVEj3nklOTsbkyZOxY8cOREZG6u6zf/9+fPPNN2jcuDHmz5+P0qVLY/r06QCA8uXL4/Tp0/jiiy8sfl1SUlIwffp0xMfHo1mzZrr9zZo1w4gRI3TXDTNvc+fORXBwMH788Ud4eXkBAMqVK6e7fdy4cZg+fbruNSpZsiTOnj2Lb775Bj169LC4f0RERETuwFRA9l9oYJLhADF35TIB2aJFi9CmTRtEREQ4uysWGT16NIYPH667npCQgKJFi1p/oKdPzd/m6am+ntFAWQ+DZKeFw+4ssXHjRgQGBiI1NRVarRZvv/02xo8fr7u9atWqumAMAE6dOoXLly8bzf96/vw5rly5gvj4eNy5cwf16tXT3ZYnTx7Url3baNii7OTJk/D09ETjxo0t7vfly5fx7NkztGzZUrU/JSUFL774IgDg3Llzqn4A0AVvmfnoo48wZswYPH/+HIGBgfj8888RHR2tu7127doZ3v/kyZNo2LChLhhTSkxMxJUrV9C7d2/06dNHtz8tLQ3BwcEW9Y+IiIjInVhb1MMBNeYcwiUCsuvXr2PHjh346aefdPvCw8ORkpKCuLg4VZbs7t27CA8P17UxrIYoV2FUtjGszHj37l0EBQXBz88Pnp6e8PT0NNlGPoYpPj4+8PHxsf7JGgoIcH7bTDRt2hTz58+Ht7c3IiIijIpSBBg81tOnT1GrVi2sXLnS6FihoaFZ6oOfn5/V93n6X7C7adMmvPDCC6rbbPG7GzlyJHr27InAwECEhYXpsoEyw9fFUEbPSe77d999ZxQwehoG6kREREQ5QG4NyFxiDtmSJUtQqFAhVXahVq1a8PLyws6dO3X7Lly4gBs3bugyGJGRkTh9+rSqGuL27dsRFBSESpUq6doojyG3kY/h7e2NWrVqqdpotVrs3LnT4kxJThcQEIAyZcqgWLFiFlUIrFmzJi5duoRChQqhTJkyqp/g4GAEBwejcOHCOHz4sO4+aWlpOHbsmNljVq1aFVqtVjf3y5CcoUtPT9ftq1SpEnx8fHDjxg2jfsjZzIoVKxoF9XLRmMwULFgQZcqUQXh4uFEwZolq1aph3759SDWx/HxYWBgiIiJw9epVo76XLFnS6sciIiIicnWGp0QMyBxEq9ViyZIl6NGjh+pkPzg4GL1798bw4cOxe/duHDt2DL169UJkZCTq168PAGjVqhUqVaqEbt264dSpU9i6dSvGjBmDgQMH6jIg/fv3x9WrVzFq1CicP38e8+bNw5o1azBs2DDdYw0fPhzfffcdli1bhnPnzmHAgAFITExEr169HPti5BBdu3ZFwYIF8frrr2Pfvn2IiYnBnj17MGTIEPz7778AgA8++ACff/45NmzYgPPnz+P999/PcA2xEiVKoEePHnj33XexYcMG3THXrFkDAChevDg0Gg02btyI+/fv4+nTp8ibNy8+/PBDDBs2DMuWLcOVK1dw/PhxfP3117rCGP3798elS5cwcuRIXLhwAT/88IPJdersYdCgQUhISEDnzp3x119/4dKlS1i+fDkuXLgAAJgwYQKmTJmC2bNn4+LFizh9+jSWLFmCGTNmOKR/RERERI5kGGClpwMZzQhiQGYjO3bswI0bN/Duu+8a3fbVV1/hlVdeQfv27dGoUSOEh4erhjV6enpi48aN8PT0RGRkJN555x10794dEydO1LUpWbIkNm3ahO3bt6N69eqYPn06Fi5ciKioKF2bTp06Ydq0aRg7dixq1KiBkydPYsuWLUaFPsgy/v7++OOPP1CsWDG8+eabqFixInr37o3nz58jKCgIADBixAh069YNPXr0QGRkJPLmzYs33ngjw+POnz8fHTp0wPvvv48KFSqgT58+SPyvnP8LL7yACRMm4OOPP0ZYWBgGDRoEAJg0aRL+7//+D1OmTEHFihXRunVrbNq0SZdlKlasGNavX48NGzagevXqWLBgASZPnmzHV0evQIEC2LVrF54+fYrGjRujVq1a+O6773Rzyt577z0sXLgQS5YsQdWqVdG4cWMsXbqUGTIiIiLKkQwDrLQ0/b7ixTNv7640krkqCmSVhIQEBAcHIz4+Xhd0yJ4/f46YmBiULFkSvr6+Tuoh5XR8nxEREZE7++kn9apPP/4IDB4M3L8PlCsHXLyobj9rFjBkiGP7aKmMYgNDTs+QERERERER3bmjvp6ers+CmarHllMyZAzIiIiIiIjI6QwXen7wQF/ow9Tgn5wSkLlE2XsiIiIiIsqdJAno3Bn4r1abzgcf6AMxZsiIiIiIiIjs4N4942BMxiGLZFOsn0L2xPcXERERuSOt1vxtctBlasiiiaVc3RIDMgeQy5g/e/bMyT2hnEx+f8nvNyIiIiJ3oNFk3iYnZ8g4h8wBPD09ERISgnv37gEQ63RpLHnnEVlAkiQ8e/YM9+7dQ0hICDw9PZ3dJSIim0hMBA4eBJo0AfLwjIUoV2NARtkWHh4OALqgjMjWQkJCdO8zIqKc4O23gV9/BcaMASZNcnZviMheDGdd5MljHGwpA7K33gLWrmVARlbSaDQoXLgwChUqhNScMuCVXIaXlxczY0SU4/z6q7icOpUBGVFOZhiQ+fkBT56o9ynnkPn5iUsGZJQlnp6ePHEmIiKyQkqKs3tARPZkWNTD29u4jTJD5u8vLnNKQMaiHkRERERE5DTp6errhhkzT0914Q/DDJm7F5pmQEZERERERE5jmCEzNadM2UYZkO3ZA4SHm1/HzB0wICMiIiKX5MGzFKJcIbMMmZeX+YCse3exsHSnTvbtoz3xo46IiIhcEqdcE+UOymArIMB0hkwZtCkDspywJAYDMiIiInJJDMiIcgdlsBUYaHoOmTJokysupqUBhQrZv3/2xoCMiIiIXFJO+OabiDKnDLby5jUOyCRJ3cbLS1wyQ0ZERERkA48eAVWqAJ99pt7PDBlR7qDMkAUEGN+u1aoDMjkIS0tz/wqLAAMyIiIicrJp04AzZ4AxY9T7c8I330SUOcNgyzDI0mqBZ8/UbQBg40b7980RGJARERGRUylPtJSYISPKHZQZMsP5YoAI0O7f119Xfllz4IB9++YIDMiIiIjIqQxLXsuUJ13t2wPJyY7pDxE5ljIA8/Q0nSEzF5ApuevwRQZkRERE5FTmAjJlhuynn4BlyxzTHyJyLOVngIeH6YCsa1exXb+++YAsNdU+/bM3BmRERETkVJZkyADg6VP794WIHM8wQ/bNN8a3DxsGbNkifswFZCkp9uujPTEgIyIiIqeyJEMGAN7e9u8LETme4Ryy7t3Vt2u1IgiLigKCg/Vl7w0xICMiIiLKAnMBmbz4q4wBGVHOZJghy+h2c20ABmREREREWWIuIDM8CWNARpQzKf/WPUxEJ6YWijaFARkRERFRFqSlmd5vLlAjopzFcMiiIcMvZ8x9Nuzfb7s+ORIDMiIiInIqw5MtmeFJF8veE+VMmWXIMmqvNHiwbfrjaAzIiIiIyKnMfdttuN9dhyMRUcYyy5Bl1F6pbFnb9MfRGJARERGRU1kakDFDRpQzZVbUw5C5z4wXXrBNfxyNARkRERE5VWYBWaVK4pIBGVHOlFmGLDxcfd3ckMWffgKmTrVdvxyFARkREZEbyMnD9TIr6hESIi5z8mtAlJspA6xBg4xvHztWfT0qSn29YEH99kcf2a5fjsKAjIiIyMV9+ikQFAT89Zeze2IfypMxZTlrOSDz9xeXzJAR5Uzy33qpUkDjxsa39++vvp43r/p627b26ZejMCAjIiJycf/3fyIYqVPH2T2xD+VwpfR0kQlbuxa4f1/s8/ERl+YyaUTk3uQvZYoWNb7NywvQaIz3Fy6s365f3z79chQGZERERORUykDr6FHgm2+Ajh31+3x9jdsRUc4hfyljScl72bJl+u2AANv2x9HyOLsDREREZLm0NCBPDvvvrcyQvfQS4Oenvj0w0LgdEeUc8nBkORtuCeW8MW9v2/bH0ZghIyIicnE1aui3c+I8KsNAKylJfV3+9psZMqKcKTFRXFqT6fLyUm8vWiS2X37Zdv1yFAZkRERELk554pEbAjJDDMiIcrZ798RlVgMyb28gXz6x7Y6Z9Bw26IGIiChny4kBWWaBFgMyopxr+XJgwgSxbSogU1ZeVTIMyGTu+DnBgIyIiMjFKb/xff7cef2wl8xOoOSy9+74zTcRZax7d/32kSOW388wIJMrNbpjQMYhi0RERC5OGYjkxAxZZs9J/vbbHU+0iMhysbGWtzWcQyYXO3LHL24YkBEREbk4ZSCSGwMy+USLARlRzla6tOVtlQGZp6d7f04wICMiInJxOX3I4qNHGd/u6Sku3fFEi4gsJ1dKBIBatcRlhw6m2yoDMo3GvQMyziEjIiJycTk5Q7ZtGxAXl3Ebdx6KRESWK1NGv/3778CGDUDnzqbbMiAjIiIih1EGIoZrdLm7qKjM27jziRYRZU1oKNCnj/nblQEZ4N6fExyySERE5ETbtwPz52fcRnmC8eSJffvjitz5RIuI7EMeygwwQ0ZERETZ0KqVuHzxRaB+fdNtlCcYCQn275Or4RwyopxLozG/1lhm95OVLQv8+6/YdsfPCWbIiIiIXEBMjPnblEMWc1tANmsW55AR5WTvvCMuK1e2/r6xscDVq0C+fMyQERERUTZlFGwoTzDi4+3fF1exbx/QoIGY2A+454kWEWVMzoArF4i2VFiYftudAzJmyIiIiFxARgFZTs6QFSliev+ePcDLL7v/3BAiypj8+eaRzajEnT8nnB6Q3bp1C++88w4KFCgAPz8/VK1aFX/99ZfudkmSMHbsWBQuXBh+fn5o0aIFLl26pDrGo0eP0LVrVwQFBSEkJAS9e/fG06dPVW3+/vtvNGzYEL6+vihatCimTp1q1Je1a9eiQoUK8PX1RdWqVbF582b7PGkiIiIDGZ1EKG9LSbF/XxwpKEhc/u9/6v3e3vpt+Rt0xekBEeUQWq24ZEDmJI8fP0aDBg3g5eWF33//HWfPnsX06dORL18+XZupU6di9uzZWLBgAQ4fPoyAgABERUXhuWJlzK5du+LMmTPYvn07Nm7ciD/++AN9+/bV3Z6QkIBWrVqhePHiOHbsGL788kuMHz8e3377ra7NgQMH0KVLF/Tu3RsnTpxAu3bt0K5dO/zzzz+OeTGIiChXM5chkyQgMTHzdu5Kfj4tWwLTp+v3+/jot+XJ++npwMOHjusbEdmfHJApqyZmReHCwLVrwJUr2e6Swzl1DtkXX3yBokWLYsmSJbp9JUuW1G1LkoSZM2dizJgxeP311wEA33//PcLCwrBhwwZ07twZ586dw5YtW3D06FHUrl0bAPD111+jbdu2mDZtGiIiIrBy5UqkpKRg8eLF8Pb2RuXKlXHy5EnMmDFDF7jNmjULrVu3xsiRIwEAkyZNwvbt2zFnzhwsWLDAUS8JERHlUua+1d2yRX09pwZknp7qrJgyIFMGYffvAwUKOKZvRGR/thyyWLx49vvjDE7NkP3666+oXbs23nrrLRQqVAgvvvgivvvuO93tMTExiI2NRYsWLXT7goODUa9ePRw8eBAAcPDgQYSEhOiCMQBo0aIFPDw8cPjwYV2bRo0awVvxSR8VFYULFy7g8ePHujbKx5HbyI9jKDk5GQkJCaofIiIia8jfDAPmA61ff1Vfz8kBmXKhV2VAFh2t31aWuiYi92erDJk7c2pAdvXqVcyfPx9ly5bF1q1bMWDAAAwZMgTLli0DAMTGxgIAwpQlVP67Lt8WGxuLQoUKqW7PkycP8ufPr2pj6hjKxzDXRr7d0JQpUxAcHKz7KVq0qNXPn4iIcjdlcGUu0FIGJoA6iMsJLMmQ5csHhIaK7XPnHNc3IrI/W80hc2dOfeparRY1a9bE5MmT8eKLL6Jv377o06ePWwwRHD16NOLj43U/N2/edHaXiIjIzVgSkBnUqMo1GTJlcAYA8tTxN95wz0n7RGSarYYsujOnPvXChQujUqVKqn0VK1bEjRs3AADh4eEAgLt376ra3L17V3dbeHg47t27p7o9LS0Njx49UrUxdQzlY5hrI99uyMfHB0FBQaofIiIiaygDC8NA6+BBYPNmIClJXJfLw+fkgEzJMDP45Il+2zBIJSL3xSGLTg7IGjRogAsXLqj2Xbx4EcX/m5FXsmRJhIeHY+fOnbrbExIScPjwYURGRgIAIiMjERcXh2PHjuna7Nq1C1qtFvXq1dO1+eOPP5Camqprs337dpQvX15X0TEyMlL1OHIb+XGIiIhsTRlcKYOztDTgpZfE3Knr18W+gADj++QEyoBMkvT7DQMyJWVwRkTujUMWnRyQDRs2DIcOHcLkyZNx+fJl/PDDD/j2228xcOBAAIBGo8HQoUPx6aef4tdff8Xp06fRvXt3REREoF27dgBERq1169bo06cPjhw5gj///BODBg1C586dERERAQB4++234e3tjd69e+PMmTNYvXo1Zs2aheHDh+v68sEHH2DLli2YPn06zp8/j/Hjx+Ovv/7CoEGDHP66EBFR7qAMrpRzw5Rlm//8U1wyINNjHS2inINDFp0ckNWpUwc///wzVq1ahSpVqmDSpEmYOXMmunbtqmszatQoDB48GH379kWdOnXw9OlTbNmyBb6+vro2K1euRIUKFdC8eXO0bdsWL7/8smqNseDgYGzbtg0xMTGoVasWRowYgbFjx6rWKnvppZd0AWH16tWxbt06bNiwAVWqVHHMi0FERLmOMrj69Vf99alTjdtmFJApAxl3owzIlEFpRidnzJAR5RwcsghoJMmdP8ZdR0JCAoKDgxEfH8/5ZEREZJE7d4D/BnMAAObPB/r3B8qWBS5fVrdt3VqsSfb668CGDfr9sbFAnTpAt27A5MkO6bZN5c0r5oRdugTs3w/06iX2G56dKMvdb9smFpImIvfXsiWwYwewciXw9tvO7o3tWBMb5OLkIBERkXMZZrvWrxeXpjJAgYHi0rDs/Zw5wL//AlOm2L5/jmBuyGJGWNSDKOfgkEUGZERERE5jGJD9V2RYV1lRydyQRcPy8O5GGZBZekKmqNFFRG6OQxYZkBERETmNYXB18SJw/75+zS0lf3/T98mbV7+dkmLb/jmCMiB76y2gShVg8OCM7+OOz5OITGOVRSCPsztARESUW5la4PjIEdMBR9Gi4tIwIFPUuMLDh0DhwrbrnyMoAzJ/f+D06czvwwwZUc7BIYvMkBERETmNqYqJsbGm25YoYXyfBw/UwxvdLXOknA9nzXCl1NScV/6fKLfikEUGZERERE6zebPxvjt3TLeVT1bkQOSnn0Q2bMQIfRt3yxwpgyprTsaOHAHy5QOmTbN9n4jIsThkkQEZERGRQ5w7B/z8s3rfhx8atzOXIZMDFvnkpWNH4yGP7pYhU/bXmoBs0SJRiXLkSNv3iYgci0MWOYeMiIjIISpVEpe7dwNNmphvZ2mGLE8e42F77pYhq1hRv52bhysR5WYcssgMGRERkUOdPJnx7fHx4rJAAfV++dtjOQjz8TG+r7tlyG7e1G9n9WTM3YJQIlJjhowBGRERkUN5eem333nH+HZ5UeiAAECj0e83zJApqyvK3Dk48fPL2v3WrrVtP4jIsTiHjAEZERGRQykDMlPkgMzPL2cHZJKk387O4tb37mW/L0TkPMqlL3IrBmRERER2pgw+lAFZcrJx26dPxaVhwGUYkJkashgTk/U+Oppy/pslAZm5xaJz80kcUU4gf5GU2ZdVORkDMiIiIjtTBl6ZBWTKDJmSHHg8fy4uTQ3v6dUr6310NGWFSEtOxGbNMv2cHz+2XZ+IyPEYkDEgIyIisjs5iAIsD8h8fdVDFuVg5NIlYNcuICzM9v10JOXwyjwW1HzWaIwLnQAMyIjcnfzljCWfAzkVAzIiIiI7S0rSbyuDLFMBmTyUz1yGDAB69lQPg3RHyoDM0jlkpubIKV9bInI/zJAxICMiIrI7ZdCgnDulzJwZMpxDpgxa/P2N1yBzN8rgytITsTVrjPcZLo5NRO6FARkDMiIiIru7dk2/rQwgTGXIZH5+wJtviu1q1dRDFAMC3D8gU74OzZtbdp+WLYExY8wfh4jcDwMyIBeP1iQiInKMU6f028oA4tkz8/d5+hT4/nugYUPgrbeAfPn0t6Wmuv+aPcoM2YwZlt8vIMD8cYjI/XAOGQMyIiIiu0tJ0W8rM1tyQPbll+JkZNgw/W0jRwLBwabLvRctCty5Y7y/dm3b9NcR5EAqb14gKMjy+xmWuWeGjMi9MUPGIYtERER2pwzClAFEYqK4jI4GwsPV9wkONj7OK6+Iy1KlTA9ZtCawcabkZGD5crFt7bfihu2ZISNyX5Kk/yxjQEZERER2k1lA5u9vHGiYCsjq1BGXqammAzKtNnv9dJQJE4BJk8S2tSdhzJAR5RxZKe6TEzEgIyIisjNTAVl6ur6oR0CAZQGZXGnx7l3gzBnj290lIFu/Xr9t7UkYM2REOYfyC5XcPIeMARkREZGdmQrIlAU9TAVkhuuQAfrgZcMG04/jLmuTKYOwW7esuy8zZEQ5BzNkAgMyIiIiO1MGZPK2PFxRoxFrjhmejJj6tjizBZTdJUOWnW/CDQMyZsiI3BcDMoEBGRERkZ2ZypDJwxW9vUVQZrgmmamy9pmdsLhLQGbLEy9myIjclxyQeXi4/1Ie2ZGLnzoREZFjmArIDEs9mxqiaCizQMYdhyzOmmXdfQ0DV2bIiNyX/Pebm+ePAQzIiIiI7M5UQCZfysFJ8+aZHyenDFlUBmQhIdbdV7mmG8AMGZE7M/wczK0YkBEREdmZJRkyS4br5MQhi4GB1t2XGTKinIOLQgsMyIiIiOxMGZDJQZOpE5HMgrKcmCHLm9e6+zJDRpRzMCATGJARERHZmaUBmWEFQUM5ZQ6ZMvAsX966+zJDRpRzcA6ZwICMiIjIzkyVvbdHQOYuGbJSpfTbxYpZd9/nz9XXmSEjcl+cQyYwICMiIrIzZdCQnQxZThmyKBszxvr7vPKK+joDMiL3xSGLAgMyIiIiO7M0Q5bZHLKcMmRRfg0yC0BNadoUOHIE2LFDfSwicj8MyAQGZERERHZmqzlkhhmyDRuArl2BL79UH9vVyVmtrM4bqVMHCA0V2wzIiNwX55AJDMiIiIjszF5FPUqWBFasAGrXVh/b1WUnQyaT78uAjMh9MUMmMCAjIiKyM3sNWZSDEvl+rjJkMS4u474wICMigEU9ZAzIiIiI7MzSDFlmRTsMb5cDMfnSFTJkhw4B+fIBffqYb5PdIYsAAzKinIAZMoEBGRERkZ1lFJApgxJf34yPYy5DptGoj+1MEyaIy0WLzLexRYbMlYJQIrKeJOmXscjtc8hy+dMnIiKyvzt39NsZDVnMLCDLLEPmCkMWnzzJvA2HLBLlbufPA2+9Bfzzj7ie2zNkDMiIiIjsKDUVOHpUf13O6CQni0sfH/1tWc2QuVK26OnTzNvIQRSHLBLlPvfuARUrqvfl9oCMQxaJiIjsKDFRfV0OmuTAJW9e/W3WBmRyIOZKQxYtyZDJc8iYISPKffbsMd7HgIyIiIjsxjBgkK/LAVlgoP42P7+Mj2U4ZNEVqyxakyGzRUCm1brG8yYiy2zcaLwvt88hY0BGRERkR3I2SGaYIVMGZG3biktzgZnhflesspiUlHkbWw5ZBFzjeRORZe7fN96XP7/j++FKcnk8SkREZF9y8Q6ZHIzIQ/uUQxYHDwYKFAAaNzZ9LE9PICRErPMlXwdca8ii4fM1xZZDFgHxmmbnWETkOCkpxvsaNHB8P1wJM2RERER2ZE2GLE8eoHt3oHhx88dTfpPsikMWLQnIbLH2kGFARkTuQQ7I2rXT7wsNdUpXXAYDMiIiIjsyF5DJxT78/a07Xr58+m1XHLJoSXDEgIwo95IDMuUXTyEhTumKy2BARkREZEfmhizKJyXKsveWCArSb7vikEVLyK+JYZESa2Q0h+zaNeC33/RLCxCR65A/+4oW1e8LDnZOX1wFAzIiIiI7Mpchk09KrA1KlIU9XDFDZgn5uWcnQ+ahOINZvly/HRsLlCwJvPYa8OabWT8+EdmH/Pf/wgv6fcqh27kRAzIiIiI7MhWQbd6sX4vH2qBEOcTRFeeQWcLWQxYHDQKuXxfbp07p92/e7D6vCVFuIQdkERH6fYUKOacvrsKpAdn48eOh0WhUPxUqVNDd/vz5cwwcOBAFChRAYGAg2rdvj7t376qOcePGDURHR8Pf3x+FChXCyJEjkWbw32/Pnj2oWbMmfHx8UKZMGSxdutSoL3PnzkWJEiXg6+uLevXq4ciRI3Z5zkRElLuYGrIYHa2/nhszZLYIyDwMzmAOHRKXhhXcLCkyQkSOI/+N+vkBt24BN25YP5c2p3F6hqxy5cq4c+eO7mf//v2624YNG4bffvsNa9euxd69e3H79m28qRh/kJ6ejujoaKSkpODAgQNYtmwZli5dirFjx+raxMTEIDo6Gk2bNsXJkycxdOhQvPfee9i6dauuzerVqzF8+HCMGzcOx48fR/Xq1REVFYV79+455kUgIqIcy9yQRZktMmTuNocsq8M1leTnLJOLpBgGZIavPxE5l/LvPyJCPZcst3J6QJYnTx6Eh4frfgoWLAgAiI+Px6JFizBjxgw0a9YMtWrVwpIlS3DgwAEc+u9rsG3btuHs2bNYsWIFatSogTZt2mDSpEmYO3cuUv77bS9YsAAlS5bE9OnTUbFiRQwaNAgdOnTAV199pevDjBkz0KdPH/Tq1QuVKlXCggUL4O/vj8WLFzv+BSEiohwls4DM2qBEGZAZZsicPTzP0se3RYbMUO/ewMaNDMiIXF1srLjMzhcyOY3TA7JLly4hIiICpUqVQteuXXHjxg0AwLFjx5CamooWLVro2laoUAHFihXDwYMHAQAHDx5E1apVERYWpmsTFRWFhIQEnDlzRtdGeQy5jXyMlJQUHDt2TNXGw8MDLVq00LUxJTk5GQkJCaofIiIiQ+aqLMqykyEzDMiePgX++ce649nSsWOWtbNHQAYAr77KgIzIlV28qN9mQKbn1ICsXr16WLp0KbZs2YL58+cjJiYGDRs2xJMnTxAbGwtvb2+EGCxMEBYWhtj/QuvY2FhVMCbfLt+WUZuEhAQkJSXhwYMHSE9PN9lGPoYpU6ZMQXBwsO6nKPOtRERkgmFAsG+f+np25pDJw/aUw/f69bPueLZ086Z+OzzcfDtbDFnM7NgyBmREruPXX/XbysI8uV0eZz54mzZtdNvVqlVDvXr1ULx4caxZswZ+yv84Lmj06NEYPny47npCQgKDMiIiMpJZQJCdIYsyZYGLK1esO152XbsGTJgAjBgBPH6s35/RyZa9MmR58hhnJBmQEbmOIkX02xl9aZPbODUgMxQSEoJy5crh8uXLaNmyJVJSUhAXF6fKkt29exfh//0Gw8PDjaohylUYlW0MKzPevXsXQUFB8PPzg6enJzw9PU22Cc/gneLj4wMfa1fzJCKiXCezKn/ZGbIoUwZkylLS9paSItb8AoDjx4Fu3fS3ZVRgxF4BWd68rLJI5Mrkv8+6dQFfX+f2xZU4fQ6Z0tOnT3HlyhUULlwYtWrVgpeXF3bu3Km7/cKFC7hx4wYiIyMBAJGRkTh9+rSqGuL27dsRFBSESpUq6doojyG3kY/h7e2NWrVqqdpotVrs3LlT14aIiCirbJ0hMzWARFlMo0AB646XHbNn67cvXAAePtRfN5wrJ5Mk+wVkgYEcskjkypKTxWXhws7th6txakD24YcfYu/evbh27RoOHDiAN954A56enujSpQuCg4PRu3dvDB8+HLt378axY8fQq1cvREZGon79+gCAVq1aoVKlSujWrRtOnTqFrVu3YsyYMRg4cKAue9W/f39cvXoVo0aNwvnz5zFv3jysWbMGw4YN0/Vj+PDh+O6777Bs2TKcO3cOAwYMQGJiInr16uWU14WIiHIOwwDBkC0yZMpslMHUa7vavVu/nZwMTJ+uv24uQ6YMkLIbkBne38tLf8Jn6vGIyLmePxeXHGSm5tQhi//++y+6dOmChw8fIjQ0FC+//DIOHTqE0NBQAMBXX30FDw8PtG/fHsnJyYiKisK8efN09/f09MTGjRsxYMAAREZGIiAgAD169MDEiRN1bUqWLIlNmzZh2LBhmDVrFooUKYKFCxciKipK16ZTp064f/8+xo4di9jYWNSoUQNbtmwxKvRBRERkraSkjG+3NkNWqpTxvuLFgXz5xBwuw/W57Mkw+FMODzQXkD17pt8OCMje4584AXTsCJw9K65fvQooliIFwICMyJXIARmHK6o5NSD78ccfM7zd19cXc+fOxdy5c822KV68ODZv3pzhcZo0aYITJ05k2GbQoEEYNGhQhm2IiIis9eWXGd/+3/KbFqtZE5gzByhWTL1/yhSgf3/HzpkqV878beYCMnmVGG/v7H9LXrky0KaNPiAzhQEZkeuQM9gMyNRcqqgHERFRTnPhgrgsUgT491/j27NS+n3gQON9ef77j+7IACRPBmcRmQVkQUG26UNmwx4ZkBG5Dg5ZNM2linoQERHlVM+fA//Vm9KZMsV2x3dGQJZRNk4OyCRJLFgtkwOyvHlt04eMgkKAVRaJXAkzZKYxICMiIrITZZbIw8M4mzNqlO0eyxkBWUYFS9LTxRplHh4i+JKHFcqVGO2dIZPn0jFDRuQ65Dm1zJCpMSAjIiKyE2XFP41GHTz07q1ePyy7XC0g02qBJk3012fMEJevviouDashZpW5DJlcjZIBGZHrkL+QceTyHO6AARkREZGdjBun3y5YUB2QFSli28eSj+2IAESSgMuXMw6qtFrg+nX1fZTOn7dNX8xVlWRARuR6YmPFZXi4c/vhahiQERER2YmywuIPP6gDMk9P2z6WIzNk330HlC0rqj2aY66oh60ZBnoyuaT+J58A9+87pi9ElLE7d8QlAzI1BmREREQOUK1azgnIlJk/czILyAYMsE1fzJEzZEePirXK7CkxETh92r6PQZQTxMWJy3z5nNoNl8OAjIiIyEFySkBmSUEOc5kr2YgRtumLubkoyiqOe/bY5rHMaddOBNw7d9r3cYjcXWKiuMzuovA5DQMyIiIiB8lNAZk58rprWVl/zZSwMNP7Q0Jsc3xL7NghLhcscNxjErkbSWJAZg4DMiIiIgdRVgR054AsONiydqaCrvR0cWmr59+8uenHPXnSNsfPzLNn+m2urUS51bNnwKFDGQ9VTk7WZ84ZkKkxICMiIrITOSB54w1xqTwJsWXJe8CxAVmFCuZvi4rSbyvL4ssnanJAZqvnnzcvsGmTep+nJ3D3rm2On5lLl/TbjipkQuRqXnsNiIwEvvnGfBs5OwYwIDPEgIyIiMhO5MISU6aIS+VEdntlyFJTbXtcUwwzX506AVWqAGvWiB9T0tPV88ps+fwDA9XXk5KMF4yWA0Fbu3xZv337tvghym3k+ZOffGK+jRyQ+fjY/vPP3TEgIyIisoO0NH1FMTk4sGdAFhoqLmNj7Rd8yAyzcO3aiSqDb70lgiNT2a/0dHW/bPn8Ddd0q1pVnPQpxcfb7vGUlEMW9+wRywE8eWKfxyJydXFx5j9/OH/MPAZkREREdvDZZ/ptOXulLDRh64CseHHAz0/M07h2zbbHVvrrL+Drr9X7lBkzDw/TQ/fsGZCVKgV06aK/vnAhULiwus3jx7Z7PCXDjOSzZ8DNm/Z5LCJ3cPGi6f1yQCaPHCA9BmRERER28Omn+m05IJOzWIDtAzIPD30GLiHBtsdWqlPHeJ/h8EBT7BmQAcCsWfrtwoWNh04+emTbx5Mp58nJnj+3z2MRuYOrV03vZ4bMPAZkREREdqAc1icHZI0a6ffZowCEIwt7KFlSwt7eAZmyFH9oKFCjBrBihX6fvQIyU3P2nj61z2MRuQNznz8MyMxjQEZERGRncgYpPFy/LynJfo/jiMIeSoYBmakqjPYOyHx8gPPngQsX9OXnu3YFmjQR2/YasmgqQ8aAjHKbsmX12+YCMnm+JQMyYwzIiIiI7EzOXCkDF2UxCFs/jqMzZIZDFseNM25j74AMAMqXB8qVU++TM2f2GsbJDBmRem1CFvWwHgMyIiIiO1MuCC2zR4bMVYYsmlogWatVn6jZeh02c+S+2StryAwZkfozh0MWrceAjIiIyM5MFb1w1yGLefMa7zMMyPz8jNsoM2QeHoBGY/u+mWLv18TUce2R/SRyZcq/AwZk1mNARkREZGemhue5a4asYkXjfYYBp6kMmTIgc+SisPYOyOQMWdu2QPPm9n0sIlel/MzJbMgiy94bMzGIgoiIiGzJVDYoIsL2jyMHH/YMyEwd29oMmSMDMrlvpoYW2oIcfFWtCty9a9/HInI1Wi1w/Lg6K8wMmfWYISMiInKgbduA998Hhg61/bHlDJk9MzSmjm0YkJlah2vPHmD6dLGdEzNk3t7Oq3JJ5CxffinWJlQuhs6iHtZjQEZERGQHtWuLS8OCHi1bAnPnms4iZZcjhiyaCjZ8fNTXq1bVb3fpot/++mtx6eoZMkmyvK38enh52b+ACJGrmTDBeB8zZNZjQEZERGQHctCxfr3jHtPeGZonT8RaX0pBQUBYmHpfvnxAbKyoNtipk/FxXDlDFh8PlC4NDB5sWXtTGTIOWaTcwtRcWK5DZj0GZERERHYgZ1kcVd4dsH+GbOFC9fV69YBr10zPkQsLEydepoIvV82QrVkDtGoFxMQAc+bo90+dqr6udPu2uAwI4JBFIoBDFrOCARkREZEdaLXiMicFZIZBzc8/i2xYRkw9f1fMkD15IrJ5R47o90kS8OAB8NFHImP25In6PpIE7N8vths1sn8BESJn2LULmDfP8vYcsmg9BmRERER2IAdkjlpvC7B/hkY57+3vv4HChTO/j6ngy5FBqjJIOnfO/HIDJ04Y74uPV1eP+/df9e337onbNRqgQgVmyCjn+fhjsZzDwIHAjh1i34ULwIwZ5gMvlr23HgMyIiIiO8iJGTJlQGaqkqIpzh6yKAdJmzcDlSoBjRubbnfsmPG+Bw/0J5EAcOOG+vbr18XlCy+IwI9FPSin+eIL/fbBg+KyQgVgxAhg0SLT93Fqhswwje0mGJARERHZgTPmkNl7HTJlts+wsqI5zg7I5CDpzh1xefSo6XaGxUoAIDlZHZDFx6tvj4sTlwUKiEsW9aCcbOxYdXn7ZctMt3N4QHbzJjBtGlCrFvDyyzY+uGMwICMiIrIDZ2bI7JWhSU7Wb1erZtl9TAVfhuuW2ZMcJGVGGXjJ0tLU+w2HOz59Ki4DA9WPtXy5dX0kchfHj+u35YyZrGNHcemQoh5JScD8+WLyZrFiwMiRonNnz6qjRjfBgIyIiMgOnDGHzNdXXCrnPdmSPEyxWzfL72MqILM0SLKFkBDL2pmaW5aebl1AduuW/jZ7rgVH5AxVqgAJCeZvz5tXXCrf+1ot8Oef4jMp22XvlZGehwfwySfAvn3ieqNGIkC7cwcoWjSLD+A8DMiIiIjswBkZsoIFxeXDh/Y5vhyQyYGfJZydIStWzHifqWGL5tZTUgZkhvPmDAOyCxcyPh6RO0tNzfh9LQdkX38N/POP2F6wQIwiDAjQ//1YFZAlJYnFHDt0AKpX148F9/EBRo0CvvxSTO7cuxfo31//Iehm8ji7A0RERDmRM+aQyeci9+/b5/juGJCZ+rK8fXvjAh3mAjJlEJZZhmzIEODXX8V2YqL+BJXIXRUooP+CR66uaI5c9CcpCahaVXwGLlhg3C7TgCw1Fdi5E1i1SqytoSzUcfy4mCsGAKNHW/w8XB0zZERERHbgjAxZaKi4ZECmJwdLSjdv6n8/MnNDFpWjpDLLkDVvrr9NLvhB5M4Mh94qs8CG8phI80REGO/L8PPjhx/Endq0Ab7/XgRjRYvq54jVrGlRv90NM2RERER24Iw5ZPI3z/YaLmergMyRc8jM9dUwg2UuQ6YM3AzbPH4sLoODje/77rvAgQPW9ZXI1VhTMdTwb/35c9NrFeo+EyVJLAAYEgKUKiX2FS4s1psIDQXeegt4+20gMtKx32w5Qc5+dkRERE7ijAyZfEJkmP2xFTkgs7TkPWA6G+bIDJm5vhqWsDe1rlpmAVlsrLg0ddJpWIGOyB0pK6tm5OBBET8pxcUZ//15eUGsMTF+vFjQrFYtYNYsfYNGjYBt24Dbt4G5c4EGDXJ8MAYwQ0ZERGQXzphDJj+WPQIyScpahszZAVmePOLHcOjVzp1Ajx766+YyZMohi+YCsrAw2/SVyJWkp1v+WVKhgvHfR1KSvihOUdxA74DVGBHxA1DxpL6Rr6/6j9PTE2jZMlv9dkcMyIiIiOzAGRkyewVkS5cCQ4fqJ+1nNyBz5JBFQPRXnu8lGzRIHZAZ3g4Yn5Aqzxu3bAH27xfbblrYjShDGQ1XLFsWuHRJf93Hx/SQxVOnAEDC2ZAGCIz7F7gE8Q1Jq1ZAly7A66+z+g04ZJGIiMgunDGHzF4BWa9eYoifnBFypwwZYLq/devqtyVJX8hNGSwaDlm8dAmYM0d889+mjX6/snDI5MnikueY5O4yCsh++AFo3Fh/3c8P8PcH8iIB3bEMq9AZj++n4fRpANDgcq1O4g4LFoi1wjZtAt55h38o/2GGjIiIyA6cmSFTDrOzh+wGZI4MUgF98Q0AGDhQTE1R/l6Sk/XZr2vXRCG3u3eNA7IDB8TPv/+qj+/vr99+/XWxXq2js4BEtpbR/LEaNYCPPhLb0z9NAtZtgueqVbiHTfCFuONv63oDEMMP06dMBeowD2QOAzIiIiI7yGlzyJSyG5BZU7nNFpQBapUq4lK5NIBymaOwMKBSJRGQGZa9l23dqr6uDMjkQMxwzhqRu8no7zRPHqBN8bNoU+xzoO0G3R+RL4CzqIhV6IKfllUEIKrY12IwliEGZERERHaQE6ssytwtIFOqUUNcJiTo9ynnwnh66l9HwwyZzLBCozy3DtAHZKmpYojn1Kli/l2xYtntOZFjGf6daqBFXjxBAv5b5yEpCVi+XGwXLw507oydhbqgxYhqADTAf39j8pcgZB7DVSIiIjvISXPIDFkTkJlaLNbRQxb79xfzvC5f1s/3Uhbx+OEHdXu5z+YCMsNFn5UZMvm+qanAmDHAV18B5cplq/tETiECMgkNfI/hS3yI6yiOmRiqb1CzJjB2LPDnn0BMDPD552g+vDoA9R+4Nctk5FbMkBEREdlBTqqyaMiagMxU8OXoefzz5omljry9xRwxQB2QySeMcjClDMhMDVlUzkkDTGfI0tKARYvEtqVrORG5jPPnkW/mKlzAKpR7rk8hN8MulCqhBeAh/rgnTMj0UAzIMscMGRERkR1wDpl5jg7INBr90Ek5Q5aUpA+25IBqwABxKQdklq7DpCzgwWIe5PbeeguoWBFh30xEOVxCksYPB4p0xNiqP0N77iJOn8n4Q23tWvV1R1dVdUcMyIiIiKz099/GhR0MOTNDduWKfYOy7AZk/frZph9ZoSxRLy9aKwdm8tyxzOaQKXXvrr5uLiBjkQ9ySffuiRSyvOo7AFSuDOTJg0cvRaMrVqB+yXt46eZqTPy7HUpW8FEN0TWlQwegWTP9dWbIMseAjIiIyErVqwOtWwP//GO+jTPnkAHAkiX2e5ysBmRz54qS8XJhDWdQLmBrLiDLbMiiLDoaWLZMvc/UnDnAuBAIkdPEx4vV3qOiRAnEgQOBzZv1tw8eDMTG4tSnG/EDuiLNN9DsocxRZsUYkGXOZQKyzz//HBqNBkOHDtXte/78OQYOHIgCBQogMDAQ7du3x927d1X3u3HjBqKjo+Hv749ChQph5MiRSDP4GmrPnj2oWbMmfHx8UKZMGSxdutTo8efOnYsSJUrA19cX9erVw5EjR+zxNImIKAf56y/ztzlzyCIA/Pij6Tbp6dmf02RtQJYvn7hs0wZ44YXsPXZ2aTT6IhyZBWSZDVl8/XXjfeYyZMuW2X99OCKzkpLEWMI33xRrO/TqBWzbJt6UdeqoI6gCBYACBXRVFrMy5FB5Hw5ZzJxLBGRHjx7FN998g2rVqqn2Dxs2DL/99hvWrl2LvXv34vbt23jzzTd1t6enpyM6OhopKSk4cOAAli1bhqVLl2Ls2LG6NjExMYiOjkbTpk1x8uRJDB06FO+99x62KsaarF69GsOHD8e4ceNw/PhxVK9eHVFRUbh37579nzwREbkVOdAC1KXTDTmz7D2g7qdMqxWF0SpWFFUALWX4HKwNyG7cAK5fB0qWtO5+9iK/TnKAZBiQyQFbQkLGAZmpb/6VvwOlESP0RT6IHO7mTaBjR+Dnn8U3MpUqAZMmiTUfjhwBXnnF6C5yQJaVDJfyPsyQZc7pAdnTp0/RtWtXfPfdd8gnf4UGID4+HosWLcKMGTPQrFkz1KpVC0uWLMGBAwdw6NAhAMC2bdtw9uxZrFixAjVq1ECbNm0wadIkzJ07Fyn/vYsWLFiAkiVLYvr06ahYsSIGDRqEDh064KuvvtI91owZM9CnTx/06tULlSpVwoIFC+Dv74/Fixc79sUgIiKXp1ybJ6NhaM6cQ2bOP/+I+W8xMWLh46we19qALDDQtdbhyiwgK1xYXG7ZknFWy9SJZkZDVH//3bp+EllNqwX27hVrPfTtq99frhzwxhvAxx8Dp06JD4MxY4AyZcweSs6kZzdDxoAsc9n6N5GSkoILFy4YDRG0xsCBAxEdHY0WLVqo9h87dgypqamq/RUqVECxYsVw8OBBAMDBgwdRtWpVhIWF6dpERUUhISEBZ86c0bUxPHZUVJTuGCkpKTh27JiqjYeHB1q0aKFrY0pycjISEhJUP0RElPMlJem3M8qeOHsOmSlXr+q3Lc2QpacbF6Rw9xOszAIyufDHoUPq37chawNTd3/dyEVJkhg/PWIEULQo0KQJ8M03wPffq9P4P/0ETJkCVKtm0QeTrYYscv5k5rIUkD179gy9e/eGv78/KleujBs3bgAABg8ejM8//9zi4/z44484fvw4pkyZYnRbbGwsvL29ERISotofFhaG2NhYXRtlMCbfLt+WUZuEhAQkJSXhwYMHSE9PN9lGPoYpU6ZMQXBwsO6naNGilj1pIiJya5YGZM6eQ2ZqyKJy7S1lpi8jhw8b7zNXuMJdZBaQNW+ub5vRyaS1AVZGRWCIsmThQpH9qlMHmDEDuH0bCA4G3n0X2LgRmZZEzID8WZeVLxKURRsfPMhyF3KNLP2bGD16NE6dOoU9e/bAV/H1UIsWLbB69WqLjnHz5k188MEHWLlypeoY7mL06NGIj4/X/dy8edPZXSIiIgdQBmQZBTWuOGRRLmIBWB6Q3bmT9f64qswCspo19W2Vr5kha09Uz5wBqlZVjyQjssq1a+pvVuLjgcuXxWJ6nToBGzaI8ciLFgEtWmTr2xM5LxEebv19L+nXksbUqVnuQq6RpX8TGzZswJw5c/Dyyy9Do0h5Vq5cGVeuXLHoGMeOHcO9e/dQs2ZN5MmTB3ny5MHevXsxe/Zs5MmTB2FhYUhJSUFcXJzqfnfv3kX4f++M8PBwo6qL8vXM2gQFBcHPzw8FCxaEp6enyTbhGbwDfXx8EBQUpPohIqKcTxmQZVStMKcEZPfvZ70/riqzgAzQL15ty4AMEFmy777L+LhEKnfvAl9/Dbz0kqiMs26d/ra33wZWrhTrif34oyj9aaOxsbdvi0t5TqU1LlzQbxcpYpPu5GhZ+jdx//59FCpUyGh/YmKiKkDLSPPmzXH69GmcPHlS91O7dm107dpVt+3l5YWdO3fq7nPhwgXcuHEDkZGRAIDIyEicPn1aVQ1x+/btCAoKQqVKlXRtlMeQ28jH8Pb2Rq1atVRttFotdu7cqWtDREQkszRDJp/kO3IOmTKgOHYM2LRJfXtWhizmpoBMGdD6+YnLZ8/MH8dcUCWfgJ4/D6xfb7qNPRfuphwgLg5YvBho2VKsFTZkCHDwoPhAOX9e365wYRGUBVq/Vlhm5FxFVjJkw4eLS8OF08m0LOUxa9eujU2bNmHw4MEAoAvCFi5caHEQkzdvXlSpUkW1LyAgAAUKFNDt7927N4YPH478+fMjKCgIgwcPRmRkJOrXrw8AaNWqFSpVqoRu3bph6tSpiI2NxZgxYzBw4ED4/PftQP/+/TFnzhyMGjUK7777Lnbt2oU1a9Zgk+K/1PDhw9GjRw/Url0bdevWxcyZM5GYmIhevXpl5eUhIqIcTJkVmztXnCt98om6zR9/6LedlSGLjxeVrGfPBmbNEiOYlAGEpWuRKYO4nMKSDJk8m2LXLvPHKVvW9P5z54BHj0RlSXNF7LgmGZkVFycCLeVErLp1gS5dROn6iAiHdEOeP6kogm6x//0PaNoUqFfPtn3KqbIUkE2ePBlt2rTB2bNnkZaWhlmzZuHs2bM4cOAA9u7da7POffXVV/Dw8ED79u2RnJyMqKgozJs3T3e7p6cnNm7ciAEDBiAyMhIBAQHo0aMHJk6cqGtTsmRJbNq0CcOGDcOsWbNQpEgRLFy4EFFRUbo2nTp1wv379zF27FjExsaiRo0a2LJli1GhDyIiIsPqhP/7n3FApsyKOHvI4pAh4rJZM2DAAP1+SzNklrZzJ4YBmZytMhWQZXSMEiVM3xYYqE9YeHqKqTw7dqjbZKNANeUkKSligeZ//hEl6QEgJASoX1+kp7t0ATp3BkqXdnjX5IAsK7NyvLyAxo1t25+cLEsB2csvv4yTJ0/i888/R9WqVbFt2zbUrFlTV4Y+q/bs2aO67uvri7lz52Lu3Llm71O8eHFs3rw5w+M2adIEJ06cyLDNoEGDMGjQIIv7SkREuZMlJ9LKUf2OHJqWUfCn1aqDKwZk+oBMHpqlDMjkIYvmWJOkMLXEAAOyXCw9XaTRV60S3948eiT+eHv1AuRkwC+/ZC0SsiG5Yn5wsFO7kStkufRK6dKl8d1339myL0RERC7PkvW7lNM5QkPt1xdDmWXjlMPkLA20LB3a6E6UAdm2bcDu3er9QOYZMmuKK5t6rRmQ5UJnzogy9atXq8uXhoeLoYjKP1AXKBaXnQwZWSdLAdnmzZvh6empGvYHAFu3boVWq0WbNm1s0jkiIiJXYyogS09Xn8zLhSB69XKthaGVQQAzZOL39t57xvuBzDNk1mBAlospPxwOHABmzhTbISFA+/ZiSGKTJuo3n4tghsxxsjSy/eOPP0a6idmokiThY3n8KxERUQ5k6kTaMEiTi2cEBNi/P0qZndMp/3VbmvnK6QHZrVvG+4HMM2TWMPUaWpJpJTcVEwNMmQJUqyYq/8jkAOyXX8QiXwsXilXIXTAYS0vTf7HEDJn9ZSlDdunSJV1ZeaUKFSrg8uXL2e4UERGRqzJ1Ip2aqj6Bd1ZAZk2G7MEDy46Z04csmtoPqAO17OIcslwgNhZYs0bMCzt0SL9/7Vp9ZZ38+YEffnBO/6wkZ8cABmSOkKWALDg4GFevXkUJg/JCly9fRoCj//sQERE5kKmTa8MMiCsGZBqNOgA5c8ayY8rPLSxMFL+oUyfr/XMVcuC1dq3p/QDw77+2e7xatdRLRwEMyHIMrRZ49VVgyxZ9BR+NRtR879IFePNN5/bPCpKkH2ItB2R+fqJiItlXloYsvv766xg6dCiuXLmi23f58mWMGDECr732ms06R0RE5GrMZciUXDEg8/DIWoZMDsimTBEBzO+/Z71/rkIOvAwLMCsDMsPfXeHC5tcdy8zs2cb7GJC5qcREEXzJPDzEG0erFYtuzZwp0qs7d4oJivnzO62r1pgxQ9QWuXABuHRJ/15PSnJuv3KLLAVkU6dORUBAACpUqICSJUuiZMmSqFixIgoUKIBp06bZuo9EREQuw9SJtDtkyDw91X23dA6TPGQxb16gQwegQIGs989VyIHXo0em9wPGRT1CQoCLF4GpU8X1Dz+0/PHy5xcBrRIDMjeSkgL89hvw9ttiTYs2bYCrV/W3T5kCXLkihip+8IGI3t3MiBHAvXvA4MFAuXJ8fzpalocsHjhwANu3b8epU6fg5+eHatWqoVGjRrbuHxERkUvJLEMmSWLOPuBaAZnhkEVrqyz6+GS9X65GDryUlceV+wHxe1RatEhcfvgh0K6d9ev09u4tFhGXR7XxhNfFpacDe/fq1wp7/Fh/W6lSwI0b4hIAKld2Th/tYPt29XU3GnHp1rK8DplGo0GrVq3QqlUrW/aHiIjIpWUWkP3xh37blQKy5GT1cENrAzJv76z3y9WYK2qn3K9c0HvCBCAyUmxrNFkbuhgaKt4nlSqJYWEMyFzczz8Db72lv164MNCpk5gXVqeOY9ezsCNJ0lfiN+X77x3WlVzN4oBs9uzZ6Nu3L3x9fTHb1GBohSFyNRkiIqIcJrOiHrGx+m1brmVlCWuqZ1s6ZDE3BWTKgFYZkL34om0e18MDyPPfmRcDMhdy+rTIhJUoAfTtK/a1bQsUKwZERYkgrFEjlyxPn11//gkMH27+dtbqcwyLA7KvvvoKXbt2ha+vL7766iuz7TQaDQMyIiLKsTJbh0y5iKorr+Flad/kOWS5ISBTnnyGhQHXrontV16x3WMzIHMRV6+KIGzVKn3J0cqV9QGZv79YTyyztSTcXEbFfeT5kmR/FgdkMTExJreJiIhyE0vK3stsubiwJawpT21thiwnziEzpCzp//33wLvvinlfthydxoDMyb79VkwIPHJEv8/bWxTq6NJFpEblICyHB2OAemqc0ooVQNeuju1Lbmb1HLLU1FRUqFABGzduRMWKFe3RJyIiIpdlKpD57jv9HCNlcNaihWP6JPPwEOtdVaiQeVvOIdNbuFBkNpXZzXLlgP37bf/YDMgcLC5O/GLlqPqPP0Qw5uEBNGumXyssJMSZvXSa+/dN73f0l0m5ndUBmZeXF54/f26PvhAREbk8UyfSS5YAI0cCFSvqh/g1auScL9hLlLCsnbVl73NqQLZokciEOYockLnycFa3l5gI/PqrGI64ZQtw9ChQvbq47f33xXphb70lFt7K5eLiTO/PSRlxd5ClfxUDBw7EF198gTR+vUNERLmMuUDmyhVx6eyMkqXDFnNzhiyP4uvoatUc+9hyIsbcUDHKopQUEYR16SLWCnv7bbF2WGoqsGOHvt1LL4nFthiMAQCePjW9PxeM1nQpWSp7f/ToUezcuRPbtm1D1apVEWBQguWnn36ySeeIiIhcjbmALClJXMoZJWd9w2zpiVRuXodMuR5bmTKOfWw5DlBW46Rs+ucfoGFDdbqndGkRnHXpItYaIJOePHF2DwjIYkAWEhKC9u3b27ovRERELs9cQCZXK3OXjJIlQxa1Wn07V38+1jBXFdMRGJBlkyQBhw+LyU+vvir2lS8vxqFGROjXCqtdO8esFWZP5jJk5FhWBWRarRZffvklLl68iJSUFDRr1gzjx4+Hn6MXWiEiInISc6P1794Vl+6SUZL7+dFHwLp1YppN/vzqNsrAJScFZJKk33b0ObsckMnvF7KQvFbYjz+KcvTFigHR0SIl7OUFHDwIlCqVI9cKsycGZK7BqhGin332GT755BMEBgbihRdewOzZszFw4EB79Y2IiMjlmMssyRkPdymC8ewZsHatWGvo6lVg7lzjNsphja4eYFpDGZA5GjNkVrh6FfjsM6BKFTHZb8oUEYwFBIghisrxdmXLMhjLAnMBmSWVWsl2rMqQff/995g3bx769esHANixYweio6OxcOFCeHD2HxER5QKZBWTuMmQRAGbM0G8/e2Z8uxxcAtatcebqtFrnPTYDMitMmwbMny+2vb2Btm3FcMRXXhELN1OWXbwoYtubN9X7t20D/PxEspEcx6oo6saNG2jbtq3ueosWLaDRaHD79m2bd4yIiMgVGQZkhQqJSzmgcXZRj8z4+ABNm4ptZa2DadOACxfUbeXg0tMzZyUfnJkhK1hQXD586Lw+uJxHj8Rifs2aAX/+qd/ftSvQsiWweLEY4/nzz0DHjgzGbKB8eaB1a+D6dTFst0YNoGZNoHlz4OWXnd273MeqDFlaWhp8DVaK8/LyQqqli5kQERG5OXNzyOTKfa6YIatSRRSiA4BTp8Scsd271RUZ09LEMCVlsCIvO5rTFol1ZkAmT7uXq3LmWk+f6tcK27pV/03HDz8ADRqI7QYNRMqG7KpIEeD4cfF3wQFvzmFVQCZJEnr27Akfxdd+z58/R//+/VWl71n2noiIcirD7yDlk3s5IHPFDJmyWEeePPpsV2bLicrzSwID7dMvZ3FmQCYHt8+fi37kukKAcXFA//4iGFNGpdWri+GInTo5rWu5hXLZB0AEZBpNLnwvuhCrArIePXoY7XvnnXds1hkiIiJXZxiQyfORXDlDli+ffls5/DCzLE1ODci++ALYswcYMcLxj60sTP38ufp6jpSeDly+LMbIAUBQEHDggHjzlSkjgrDOnblWmAPFx6uvy6sHkPNYFZAtWbLEXv0gIiJyC+YCMvnSFTNk5gKy1aszvl9ODciqVBGJGmcUKlEGYElJOTQgkyRRhn7VKlHKMy0NuHNHvOAeHsC8eUBYGNcKcxLl+tkAMHq0U7pBChwpSkREZAV3mEO2axcwfLj+ujIgUw5ZzExODcgA51WN9PLSv/7yHL0cQZLEBMWPPwZKlhTzv+bM0S+4dvGivu0rrwB16jAYc4IxY4DSpfXXFy1yXl9Iz6oMGRERUW6X0ZDFffuA5cvFdWdmyJo2FT9ybQS5oAcggoE8Gfz3v3ABeOEFEYTl5IDMmXx9gcTEHFbYY9o0YNQo/fXAQKBdOzEksWXLnLVugpuSJLGsm6xFC+Ddd53XH9JjQEZERGSFjIYsfvqpfr8rzCF7801xee6cfl9mJewrVAAqVgTOntWvu8uAzLb8/Nw8ILt1S4x3rVdPH/W3bCne9NHRIgiLjmZ5ehdjuAj0zJlO6QaZwICMiIjICoZDFpVVFpUVul1pDpmylLUla4rJAdzjx+JSWaWRss8tS98/fCjWS1i1CvjjD/HGf+cdfUBWvTpw/74o2kEu6dEj9fXixZ3TDzLGgIyIiMgKhhmysmWBEyeMS0m7QoZMpgzIrJlDJp/AMSCzLXn0nssv46rVinXBVq0S3zYov41o0EC/wjgg5oMxGHNphgEZM9+ugwEZERGRFeQqipMmAbdvA61bA6+/rh+6KHPnDJmMAZl9yHP4DIN4l6DV6t8wGg0wZYoYvwoANWro1wpjesXtKAOyrVud1w8yxoCMiIjICnIVxZYtxRSaP/4Q1105Q6Ys4mFpQCZJ+hM4ZZVGyj5LF+Z2mLQ0UZpz1Spg+3ZREdHfXwRkQ4cC//4rArEKFZzdU8oG+e+5USOgVSvn9oXUGJARERFZQQ7I5AyYfHJtGJC5UhAjn3wVLCiCM1NVFlu1Us+BS0kRhScAIG9e+/cxNzH3nnEorVa9Vti9e/rbtmzRV4Tp08c5/SObY8bbdTEgIyIisoI8ZFHOgJnLdrjSiK7KlcUSUd7eYjSaYYZs4kSgUiV1QPb0KfDsmdhmsTzbkgNip2XIdu0CevUCbtzQ7ytQAHjrLZEJe/llJ3WM7IkBmetiQEZERGQFw4Wf5ek2166p2xUu7LAuWaRaNf22YUDm5aWvFil79EifIWNAZlsOz5BduiS+SahSRVwvXlwEY4GBwBtviCCsRQuuFZbDcQiy62JARkREZKHERP3aXIZDFpXWr8948WVnMxWQGc55W7KEGTJ7cUhRj3//FWuFrVoFHDsGvPYa8Msv4rbSpUU69OWX9TX4KceTv0zy9XVuP8iYC/+7ICIici2ffKLfNhyyqNSmjWP6k1WGffb2FtUiX3oJOHBA7JsyRZ/lY0BmW3Yr6vHggX6tsH379GlP+QElSRTqAERVGspV5PebK39ZlFvxV0JERGShTZv024ZDFpVcfeSXuQzZn38C0dHA5s0iCGOGzD7sNmSxXTvxS5Q1bCiGI3boAISG2vjByN0wIHNdJv6NEBERkSlygAJknCGzdJ0vZzE8IVMGkEOGiMuyZRmQ2Uu2i3o8fy7GxXbsqF5c6q23gBdfBKZOBa5fF2syDBjAYIwA6BciZ0DmevgrISIispAyIMtoDpk8KsxVGfZPGZDJJe4vXxYncBoNEBLisK7lClnKkKWlATt2iOGIP/+sn8zYqhXw3ntie/Bg4IMPbNpXyjmYIXNd/JUQERFZSJ4UD+hPqk0NWXR1cvVEmbKuQ2Cguk2lSvp9ZBtWFfX4918xoW/NGjFHTFa0KNC5s7pEvTu+GclhGJC5Lv5KiIiILFS2LPD332JbzjK5+vBEU54+VV8vWFC/bRh8sUS27Zkr6iFJwDcLJPilJqDHkGCx08sLWLBALORcsKB+rbAGDRiAkVUYkLku/kqIiIgsJC+oOnmyfl9OCMgKFNBvBwWpbzMsh0/ZZ3LI4sWLuD5lFZosXYXbiMCz93aJuXthYSJDVq0a0Ly561eMIZclB2R8C7kefrVCRERkIfmEplw5/T53DMjat1eflJUsqd9WBmcAT97sQc5Q+N6/CUybBtSqBZQvjxJLx6MCLqAeDuPB5Tj9Yt2jRol1CfjLyBFWrAB69dIX2XAUZshcF38lREREFpJPoJTnxe44aqxgQSA+Hrh5U2Rp5EIegHHBD5682Z6nJ/AlPkT3MdNVO/+t3Aqj/+6CX/A6nlQPwhtvAD/95Lx+kn106yYuGzYE3n3XcY/LgMx1ueG/ESIiIufIKQEZIAp5lCsHVKxofNu2bfptR3+LnyMlJADffw/cuQNABGT/oAoAYC8a4ffX5gOxsfh90GasQDc8gRg3+vPPQHKy03pNNjR/viiIKRfHBIB79xzbBwZkrstN/40QERE5nqkTGpsv7usCWrTQbzMgyCJ5rbAOHcQ8sB49RMl6iBPxdeiAIriJJtiL317oDxQsqKriKbtxw8H9Jrt4/31g+3Zgzhz9Pkcvj8GAzHXxV0JERGQhUxmyLC/u68KUJ4oMyKxgbq0wAKhQQVeyctcuAAhEIkRJSznLaiobqTwEuR/DL2z+/Ve/zYCMZPyVEBERWchUQFa4sHP64igMyKzw7BnQrp3+RStWTKwV1qULUL262TNwOSAzlSFLSLBPV8n+hg8HvvpKve/6def0BdB/fjEgcz1OHbI4f/58VKtWDUFBQQgKCkJkZCR+//133e3Pnz/HwIEDUaBAAQQGBqJ9+/a4e/eu6hg3btxAdHQ0/P39UahQIYwcORJpBl9X7tmzBzVr1oSPjw/KlCmDpUuXGvVl7ty5KFGiBHx9fVGvXj0cOXLELs+ZiIjcl6lvmH18gLg4oGdPZ/TI/p4/d3YPXJAkAcePAyNHigBMFhQk3ggDBwL79wMxMcAXXwA1amSYDjl1SlwyQ+Y8u3eLIhvffWe8cHpWGQZjALBpk35bq7XN41iKGTLX5dSArEiRIvj8889x7Ngx/PXXX2jWrBlef/11nDlzBgAwbNgw/Pbbb1i7di327t2L27dv480339TdPz09HdHR0UhJScGBAwewbNkyLF26FGPHjtW1iYmJQXR0NJo2bYqTJ09i6NCheO+997B161Zdm9WrV2P48OEYN24cjh8/jurVqyMqKgr3HD3bkoiIXJqpDBkABAcDjRo5vj+OwAyZwoULwPjxYvhhrVqiZP0vvwAXL+rbLFggJgpZsXDzH3+INe6uXDG+jRky+0tLA5o1EzF0375AdLRjHvf4ccc8jozrkLkwycXky5dPWrhwoRQXFyd5eXlJa9eu1d127tw5CYB08OBBSZIkafPmzZKHh4cUGxurazN//nwpKChISk5OliRJkkaNGiVVrlxZ9RidOnWSoqKidNfr1q0rDRw4UHc9PT1dioiIkKZMmWJxv+Pj4yUAUnx8vHVPmIiI3EZYmCQBknTqlPFt6emSNHu2JB0/7vh+2YNIA0nSCy84uycu4NdfJenFF/UvCiBJvr6S1KGDJK1fL0lJSVYdrnZt9aEy+vniCzs9J9KZNcv4dbcFL6/Mf78rV4q3lyNUqSIec+dOxzxebmdNbOAyVRbT09Px448/IjExEZGRkTh27BhSU1PRQlHqqUKFCihWrBgOHjwIADh48CCqVq2KsLAwXZuoqCgkJCTosmwHDx5UHUNuIx8jJSUFx44dU7Xx8PBAixYtdG1MSU5ORkJCguqHiIhyNnMZMkAkQwYPBl580bF9srdcmSG7fx948EB/PTUVOHFCjPVq2xZYvlyUSly7FnjzTcDX16rDL15sedvdu606NGXBzp22P+axYxkvGdGqlbjs2hV47TXx9rI3efgrhyy6HqcHZKdPn0ZgYCB8fHzQv39//Pzzz6hUqRJiY2Ph7e2NkJAQVfuwsDDExsYCAGJjY1XBmHy7fFtGbRISEpCUlIQHDx4gPT3dZBv5GKZMmTIFwcHBup+iRYtm6fkTEZH7yCggy6lyzRyyhARg2TKgdWtRqUVZn7xtW+Cbb8Q6Yps2Ae+8o15N20rBwZa3jY/P8sOQhaz5fVjqhx/02//7H3DggP76/v1A06bq9leuiJwZAGzYAOzbZ9v+XL4sCopoNEDx4rY9NmWf02Pk8uXL4+TJk4iPj8e6devQo0cP7N2719ndytTo0aMxfPhw3fWEhAQGZUREOVxumhTfqxewZIk4mcyxkpJEgLVqlbhUpgPPndNv+/qKyUU24u1teVtbFZgg8zIrGfD4MRASYl2ZeuUp4aefisuVK8V0w5deAkJDgdGj9W2ePRMLtZcvry/8kZgI+Ptb/pgZkQd9RUYyIHNFTv+X4u3tjTJlygAAatWqhaNHj2LWrFno1KkTUlJSEBcXp8qS3b17F+Hh4QCA8PBwo2qIchVGZRvDyox3795FUFAQ/Pz84OnpCU9PT5Nt5GOY4uPjAx8fn6w9aSIicku5KUP2zTfAkCFAtWrO7omdaLXi7PfmTf2+ChVEifouXYCyZe320JYEZPXrA4cOMSBzhLg4432//y6+kOjeHXj1VaB3b2DhQsuPKcf2vXrp9739tn67XDng7l2xZjgAzJ8vsliXL+vbNG4MbNyob5Md8vpn5cpl/1hke04fsmhIq9UiOTkZtWrVgpeXF3YqBvZeuHABN27cQGRkJAAgMjISp0+fVlVD3L59O4KCglCpUiVdm50Gg4O3b9+uO4a3tzdq1aqlaqPVarFz505dGyIiIq02d1Up8/IS1dotLBTo2rRaUcrwf//Tjwvz8ACaNxdrhY0aJSbxnD0LjB1r12AMyDwgmz5dFGsEgKdP7doVgshOGXrrLTFF8NVXxfVFi6w7pjzUN6PphYUKAW+8IbYPHTK+/a+/gDp1rHtcc+T5Y0FBtjke2ZZTM2SjR49GmzZtUKxYMTx58gQ//PAD9uzZg61btyI4OBi9e/fG8OHDkT9/fgQFBWHw4MGIjIxE/fr1AQCtWrVCpUqV0K1bN0ydOhWxsbEYM2YMBg4cqMte9e/fH3PmzMGoUaPw7rvvYteuXVizZg02KRaCGD58OHr06IHatWujbt26mDlzJhITE9FL+bUGERHlavK0Yk9PIF8+5/aFLCCvFbZqFbB6tT5F8MYbQO3aYnvWLCAw0OFRZ2YBWYEColsAM2SOIAdk48YBEyaIJQgePcreMS0JyAD99wPm3Lwpvk/I7ltUrj3HgMw1OTUgu3fvHrp37447d+4gODgY1apVw9atW9GyZUsAwFdffQUPDw+0b98eycnJiIqKwrx583T39/T0xMaNGzFgwABERkYiICAAPXr0wMSJE3VtSpYsiU2bNmHYsGGYNWsWihQpgoULFyIqKkrXplOnTrh//z7Gjh2L2NhY1KhRA1u2bDEq9EFERLmXvEZU8eK5I0Pmtm7cEOmMVauAS5f0+4ODRUXEgAD9PiednWb2/ilYUN/NxERx0m7N/CWyTlKSuPxvcBXS08X22bNZP6alAVmnTqKIh6F339VX47x/P/vDFuUMWTZq0ZAdOTUgW5RJ/tfX1xdz587F3LlzzbYpXrw4Nm/enOFxmjRpghOZ1BMdNGgQBg0alGEbIiLKvf74Q1xWrercfpAJyhTChQuA/MWsn58Yc9ali6ieaGV5envJLLhSBmSSJAIGWxV3IGNyhix/fnH5/LnpoaLPnln+e7A0IOvcGejYUbx9798XQyWTkkS2bvNmkZm/dYsBWU6XE0aGExER2Z2cIatb17n9oP/cvStK0zdoAIwcqd/ftKkIwFasEG1WrwbatXOZYEx2+DCwfbv++ltv6beLFVOf+HPYon3JAVmhQuIyORl4+NC43f37lh9TzrpZ8raTv0sIDQX27BHvjWLFgCJFxP5btyx/XHPkIZgMyFyT06ssEhERuQP5BIuZCieKjwd++kkMR9y5U2TGADFMcdo0kXrKk0e9CJSLkgP7+fOBI0dEXZG1a8XcscKFxW1+fuJ99/SpOFkn21mxAli6FJg3D0hJEfsKFxZvn7Q000HwgweWl4y3NEOWEXl9tOwWdlmwAJBXlHrhhewdi+yDARkREZEF5BMsPz/n9iPX6t9f1CGXz54BUYKuSxcx5stNJ1n17y9+AFFVT3nCHBgoAjJmyGwjLU2sAZaSApw6JfY1b66/PTBQBL537pi+vzUZMlsEZHLxF+VbPismTdJvlyiRvWORfTAgIyIisoCcIWNA5gCpqcCOHUCrVqKsJQD4+Igz00qVRBDWuTPw3zqmOUWtWurrAQEiCGBAZhv16wPHjqn3ycU3fX3FjzUBWVycSMa+9ZZxBtMWAZm83K1yvfKsqFgRuH1bbCsXrCbXwYCMiIjIArY4waIMyGuFrVoFrFsnJr3s2iXmhAHA0KFidd6qVd02G2YtubAH1yLLvr//Ng7GlDQa8SMPEzTlwQP19aFDgWXLgO+/N15HzFkZMkkCOnQQAVhAABAdrZ+jtmyZGJJJroe/FiIiIgswQ2YHkiTG6clrhclf4wOirNzdu/rrJUs6vn9OxrXIbCezaYWtWolL5ZIE0dFiSOORI8CPPxpnyORy9YcPGx/PHgHZzZuiwMd/y/GadPWqmGYp27lTv865csUHci2sskhERGQBBmR2cPy4qG7x1VciGAsOFgswbd8uxpJ17uzsHjoVM2S2U6yY+du6dxeFLwDgwAH1fYYN069P9sMPYo0ymbLAh2H2zB4BWbFiQGQkcPKk+fukphrvk5fj42eX62JARkREZAEOWcyma9eAzz8HPvtMv69mTaBKFf3quHfvikWdW7Tg2CowQ2ZLu3YZ7+vaVWS/li0DwsPFPjkIUm536CAur18H1q8X64NJknpNwn/+UR/bnnPItm41fx95vTFTWCHWdfHTjoiIyALyWkX8ltkKd+8Ca9aIIYkHD4p9ISHAhx+Ks02NRpS78+D3w6bIGTIGZNm3fr3xvtBQUahTSc6EA0DPnuKyYkUxTPDQIfHdAQBMnap/SwPA//0fMGKEWPIOsO8csnv31NeTk0UWrEqVjLOp/OxyXfwEJCIiysSzZ/rpTfJirZSBn38GWrYEIiKAIUPEmatGIwp0TJ0q0gsyBmNmcciifZlKwg4cKC5ffx2oUUO/PyxM3W7UKDFfS7Z/P/DGG8C2beK6PQOyuDj19bFjRbbuiy/EUn2yKlXU7Zghc13MkBEREWXi0iURQxQsaHxiRhARq5eXviLC8eOibD0g5ojJa4VFRDivj26IQxbto359kZh9/33j26ZMAZo0AZo1U+8vWNCyY+/bJwqE2DogU85dU36fAYjvOADg44/1+6pXB2bNEs9FZulzIMdjQEZERJSJR4/EZaFCzu2HS0lJEemAVauAX34BVq4UaQUAeOcdcSbauTNQurRz++nGOGTR9j78EJg4UbympgIUX1/921jJ0iXv5GyWHJDJ88CyQr5vSop6HplWm/l9S5cGChfWX/f318+TI9fDcQJERESZkIcIhYQ4sxcuID0d2L0b6NtXnN29+qooPZeYKCojysqXB/73PwZj2SQPMWNAZjtDh4q5VNZmi9q1syzblZoqfl9yAJUvn7U91JMzZMnJ+gAPUGfI1q41fd/vvhN/fnIQ9tZbuWb5PrfEDBkREVEmfv5ZXObqSfEPH4qJKnfu6PeFh4sqB126iKGJZFPyHCflcDWynjKjpKyiaI0KFYATJ8Sx8uVTj779/ntROh8QKzgos2J582bt8QD9kNUDB0QgKZNL2z94IEYCGypYEMifX2xv3y76/c47We8H2R8DMiIiokwsXy4ud+50bj8c6swZ4PRp/VpgBQqIMZtJSaIOeJcuQOPGgKenc/uZg8kvLQOy7FGuzaVc+NlaFSoY78uXT/xpKH3+uX47O1mp0FBxeeGC+JElJYl11GNjTd9PWaykShXj4h7kehiQERERWUi57lCOFBMD/PijmBd2+rRICb7yiv6r+vXrRZnJ7EyMIYsxILMNZUCW1QyZoTlzgMmTxZpkyqSxUtu22XsMc8Mqd+wQy/bJ2rQBZs4UI4UBoHbt7D0uOR7nkBEREWVCngr1xRfO7YddxMYCs2cDkZFAqVLAJ5+IYMzLS5Suf/hQ37Z0aQZjDsSAzDZslSFTGjgQuHVLVDM0Z9687D2GuYquhssglCkDlCsnpm0WKyaGTZJ7YUBGRESUCfmEznBoUo7w/ffABx+IVW89PIDmzYGFC8Wizr/8AhQv7uwe5loMyGxDuY6XqbXHssvcsMTsFPQAgEqVgGHDMh/2KFeA/PRT4Pp1yytCkutgQEZERJQJuWKaWyeHEhPFcMTXXxeXss6dxcJMs2aJr/x37AB6987+2SRlGwMy25C/UPHysk+lQXMBUHYKegCirzNmiEIikiQqLZr6s+Ri9e6Pc8iIiIgyIQdk2Vnk1SlSUoCtW8WcsF9/1ddPT03VF+soVgw4eNB5fSSzGJDZhjIgs4fSpYHffxdFOHr3FotOA7YP/nx8gKtXxVTP6dPF0n8AF3zOCRiQERERZcLtMmTp6cD774tFih4/1u8vVUpUR+zSxXl9I4sxILMNeciivQIyAGjdWlzae824kBDgxReBceP0AZlc4p7cFwMyIiKiTLh8QCZJwMWL+jJrnp7A2bMiGCtcWL9WWJ06XB3WjTAgsw05Q2arCosZefLE/o8BqIOwoCDHPCbZDwMyIiKiDKSl6ReWdbmA7J9/xHDEH38Us/nv3NEvXjRpkgjUGjXiWmFuigGZddLTTb/VHZEhk02aBPTtK37sKX9+8aednMw5ZDkBAzIiIqIMPH+u33aJgOzqVf1aYf/8o9/v7w+cPClK1QNAkybO6B3ZEAMyy12+LBLA/fsDU6aob9u9W1w6IpP03ntAgwaiDL09aTTAnj36bXJvDMiIiIgyIA9XBFwgIFu3DnjrLf11Ly+xKmyXLsCrrwIBAc7rG9kcAzLLSBJQtqzY/vxz44Dsww/F5fnz9u+LRiPK1TsCA7GcgwEZERFRBuRJ+l5e9lnDyKzHj4H168XqsK++KvY1aSKiwpdfFkHYm2+yPH0OZquALCVFVOULDwd69cp+v1zN6dPq68nJLvDlCZEVGJARERFlQJ6kHxzsgAdLTBTl6VetArZsEdUIXn5ZH5AVLAjExopSa5Tj2Sog++UX4JNPxHatWkC1atk7nqsZMUJ9/coVx2WpiGyBARkREVEGEhLEZXYXec3Q5s3A8uUiGHv2TL+/WjXglVfEmCx5fBKDsVzDVgHZlSv67Q0bcl5AtmOH+vq5c6YDsmXLHNMfImsxICMiIjLj/n1g3z6xbdOCAFot4OGhvz53rgjKALFW2NtviyGJ/Jo/V8tqQJaeDsTH60ujL1igv+3AAdv0zZWdOAG0b6+/HhwsXo/69Z3XJ6KMeGTehIiIKHeqXBn46COxne0MmSQBBw8CQ4aIOtXXr+tv69sXGDoUOHxYlIubNInBGGU5IOveHShUSGTDduxQv9VOnbJZ95xixQqgRg0xotecCxfU1+Wks5+f3bpFlC0aSZIkZ3ciJ0hISEBwcDDi4+MRxBX6iIhyBGUVs/BwscyX1U6fBn74QZSqv3ZNv//LL/Xl34hM2LkTaNECqFLFuHBFRjKqvufhIYp8uOvSdMrndvkyULq06ecbECCy29Wq6YvxPHgAFCjgmH4SWRMbMENGRERkgrwYtMzqRWXPnBFn0tWqiVrc166Js8SuXYGNG0WmjCgD1mTInj8XMf/Tpxm302pFYJITfPut+royA5aYKILZpCTTtxO5EgZkREREJsjVFWWZDlm8fRs4elR/vXhxsYiztzfQrh2wejVw754YcxUdLfYTZcCagGz2bDHtsFkz82+tQoXE5Y0btumfo6Wlqa9PnSr+nOTkw/z56tsfPVIHZL6+9u0fUVYxICMiIjLh0SP19TfeMNHo4UPxNX3TpmJe2Hvv6W8LDAQ2bQLu3gV+/hno2BHw97drnylnsSYg27BBXB49KoYkmlKzprg0rEroLuTVH5S6ddM/34gI49vl+WM+Puo6OkSuhG9NIiIiE27dUl8fM+a/jadPgZUrRTn68HCgXz9gzx5RtCMwUJ1aa9qUZeopy6wJyDIrZf/220CFCmI7Li5b3XKK7dvNF/J4/lxcVqoEvPOOfn+xYvoMGb8LIVfGgIyIiMiEixfV13XDnQYMEGd9mzaJMVTVq+vniP35p50XLKPcxJqAzHCIraEVK/RDGVNTs9cvR3vyBGjVKvN2vr5iOT955LBWqw/IOH+MXBnXISMiIjLh3u00tMBudMEqXHz1QwD/laF/6y3g0CExYadLF6BiRaf2k3IuOSC7eVOsiRcaar6tvIC5LDBQX+Cja1dRidBdA7LFi9XXq1cX33vs36/eLz+/gABxmZjIgIzcAwMyIiIimbxW2KpVGLRkDT7GPbG7agSAT0WbV14Rk1kyqi1OZAPK0vSDBom6MOYYBmRPn4pk7rffiiXuAH2lUHNzzI4dE4tJlyyZ5S7bhXIdtWHDgBkzRPbLsHS/HJAFBorLx4+BmTPFNgMycmUcskhERBQfD3z8sTgTbdAAmDMHgYn38AAFcKBaP2heU1QT8PBgMEYOocyIbduWcdvERON9c+eKzFrt2uJ6RhmymBjRrlSprPXVnuQ5Yh9+CEyfLrY9PIDGjdXt5OenHDW8dq245BwycmUMyIiIKHdSphT8/EQq4fp18fX6O+/gm9c2oTDuYGP0AqBePef1k3Kt8HD9dkbDFQEgOdl4n0YD5Munv55RhuzQIev75yhyQFaggPq7EDkTBohgTL4tJAQYNUp9DGbIyJUxICMiotzj1i0x3qlOHaBGDTFEERBnc5MnA2vWiDL1y5fjZERbpMGLaxeR02g0QPnyYjuzohZy0JIROSAzlSGLj7eub44kPzfDv0V5rhgAFC6svu2LL9TfozAgI1fGOWRERJSzPXwIrFsHrFoF/PGHPgjz9ATOn9cX5ejfX3U3+STQx8eBfSUy0LUrMHas8aLIAHD2rFhT7P33TWfIDMlD+kxlyB4/1m9rta61Zpe5gEwOMAGgYEHj+ymDNAZk5MoYkBERUc719dfA8OHqs9mXXxbVETt0AAoVMntX+QSXGTJyJmUQJUkigRseLrbr1RPFO3x8rMuQbdggFon+9lv9/LK9e/XtUlJc631vLiBTXm/Xzvh+yoCMc8jIlbnQ9x9ERETZ8Py5ONM8d06/r0oVEYzVqCHGMF2/DuzbJ1IKGQRj8uEAZsjIuZTzvqZMEUHGunVicWe5rP2mTdZlyADgxAngtdf010+d0m+bq8LoLOYCsnHjRB2eXr2A//3P+H7KOWbMkJErY4aMiIjcV1oasGuXGI7400+iUMfgwcDs2eL2Ro1EgFahgtWHZoaMXIEyQyYHHYMHA0eO6NukpRmXvTdFOcQPAB480B87Nla/PysBWVoa8O67wAsviMDRVtLTxchiwPhvsWhR4OpV8/dVBmEMyMiVMSAjIiL3IknAgQMiCFu7Frh3T39bkSLqcUqenlkKxgBmyMg1yAHZkyf6ffny6bNjAPD77/rt9u2B9evF+uWG8hic9b3yiriUF0+WZSUg27gRWL5cbI8Zoy64kR1DhwJ37ohta78cUQ5TZEBGrowBGRERuRdJAjp1EhUTATGb/623xLywBg1sVo2AGTJyBXJAduyYfp9hQKb03XdAx45Aw4bGtymzYIA+EDMc7mhtQCZJwLVr+uuXLwPVq1t3DFP+/ReYM0d/XTkE0RLKIIxzyMiVMSAjIiLXdemSyITt3Cl+8uQRAdd774mVbLt0AZo3Nx6LZQPMkJErkAOy+/f1+y5cMB+Q+fuLgMyU/PnV1+WAzDAAs2Q+mqxbN2DFCvW+ixdtE5Bt3aq+XqyYdffnkEVyFwzIiIjItfz7L7B6tQjElGmB3buBli3F9vjxdu8GM2TkCkx91/DwoahPY4qycIeht94SwdyzZ8C0aeISMA7ILM2Q3bhhHIwB4nsUW5BXqJBFRFh3fw5ZJHfh1CqLU6ZMQZ06dZA3b14UKlQI7dq1w4ULF1Rtnj9/joEDB6JAgQIIDAxE+/btcffuXVWbGzduIDo6Gv7+/ihUqBBGjhyJNIMFO/bs2YOaNWvCx8cHZcqUwdKlS436M3fuXJQoUQK+vr6oV68ejihnzBIRkX0dPAg0biy+Bv/wQxGMeXoCrVsDy5apV3l1AGbIyBWYG4H7zz/G+44cEYtJm+PlBUyYIP6kAPMZMsPrkiSKZxgGSMp5bUq3b5vvgzWUx//qK+M5cJlRBmEhITbpEpFdODUg27t3LwYOHIhDhw5h+/btSE1NRatWrZCYmKhrM2zYMPz2229Yu3Yt9u7di9u3b+PNN9/U3Z6eno7o6GikpKTgwIEDWLZsGZYuXYqxY8fq2sTExCA6OhpNmzbFyZMnMXToULz33nvYqsiFr169GsOHD8e4ceNw/PhxVK9eHVFRUbinnCxORES28+SJ+szN21u/cHPDhsC8eWI2/++/A927A0FBDu2enCFjQEbOZDjMUDZ9uvG+GjUsO6YcqPzzD/Dpp8YBmDw9UzZlClC6NLBwoXq/cjFpJVuVzZeHZfbpI4p7WEtZWKRoUZt0icg+JBdy7949CYC0d+9eSZIkKS4uTvLy8pLWrl2ra3Pu3DkJgHTw4EFJkiRp8+bNkoeHhxQbG6trM3/+fCkoKEhKTk6WJEmSRo0aJVWuXFn1WJ06dZKioqJ01+vWrSsNHDhQdz09PV2KiIiQpkyZYlHf4+PjJQBSfHy8lc+aiCgXSUqSpPXrJalDB0ny9ZWknj31t2m1kjR/viTduOG8/imEhkoSIEmnTzu7J5SbpaeL96ElP5Y6d059vx49jI918qS+vbnH+OUX0/1Q/llnx8iR4njDh2ft/rGx+j5dumSbPhFZyprYwKUWho6PjwcA5P/v66Bjx44hNTUVLVq00LWpUKECihUrhoMHDwIADh48iKpVqyIsLEzXJioqCgkJCThz5oyujfIYchv5GCkpKTh27JiqjYeHB1q0aKFrYyg5ORkJCQmqHyIiMiEtTczO79kTCAsTdbnXrRNjAs+e1Y+D0miA/v1d5qtsZsjIFdioaKhKuXLq68uWGbcZNky/rcw0pafrtx89Epd164o/b5mtM2R582bt/mFhYknCceOAMmVs0ycie3CZgEyr1WLo0KFo0KABqlSpAgCIjY2Ft7c3QgwG/oaFhSH2v9qtsbGxqmBMvl2+LaM2CQkJSEpKwoMHD5Cenm6yTaxhjdj/TJkyBcHBwbqfoi5yAkFE5HKaNtXPA0tIEAHXyJFijtihQxlPenEieQ4Zi3qQKxk9OvvHsCTIU07FL15cv33zpn5bDsjKlAGWLAG+/lpcT03Nfh8B/Rwya8vdKw0e7JAaQETZ4jIB2cCBA/HPP//gxx9/dHZXLDJ69GjEx8frfm4qP6HcVGys7T5EiSgXkiTgxAlxxqhcabZ5cyA0FHj/fWDfPrFg0dSpQM2aLhOM/fEHUKKEWNwWEE9F/pafGTJyFfXqiQDDEeR1xebMEYls2fXrYp2xJUsAuT6aPM9Nrghpq3OJ7GbIiNyFSwRkgwYNwsaNG7F7924UKVJEtz88PBwpKSmIi4tTtb979y7Cw8N1bQyrLsrXM2sTFBQEPz8/FCxYEJ6enibbyMcw5OPjg6CgINWPO/vnH6BwYSAqytk9ISK3c/GiKN1WsaIIsj7/HNi8+f/bu+/wKKq2DeD3hoQkRJJQE5oBXilSBKRGBOlBhReQZqiCiCCIiIINBWwUFV5RiuUTkRIEpUlHQFBElBCpoShVIaEnIUAI2fP98TCZ3c2mb9/7d125dmZ2dvZMZgPz7DnnefTnX35ZknfMmgU8/LB9xmAVUqdOcqPZuTOweLF5HSb2kJErKVvWNseZOlUe331X39aokb589qwMW7QMAFu1AqpVAwYPBg4ckG1aCn4t5b6thizaooeMyB049X9FpRRGjhyJFStWYOvWrahSpYrZ8w0bNoSfnx+2bNmSue3o0aM4c+YMIiMjAQCRkZE4cOCAWTbEzZs3Izg4GLVq1crcx/QY2j7aMYoWLYqGDRua7WM0GrFly5bMfTzdggXyuG2bc9tBRG7i0iUpZNSwIVCjhowJOnpUupO6dzcvGHTPPfnPV+1gWj0mAOjbF5g7V5aLFjWvZUTkTEpJJQhr8tuLNG6c1DMbPFjfFhgIbN6sr//vf3k7Vpky8sgeMqKCcWpANmLECCxcuBCLFy9G8eLFkZCQgISEBNy8O9QlJCQETz/9NMaMGYNt27YhNjYWgwYNQmRkJJo1awYA6NChA2rVqoX+/ftj37592LhxI8aPH48RI0bA/+44k2HDhuHEiRMYN24cjhw5gtmzZ2Pp0qV40WTG6pgxY/DFF19g/vz5iI+Px/Dhw5GamopBgwY5/hfjBKZT4EyHJhARZTIa9eWrV2Ue2N695rXCLlyQhB1u8mXW1atS+sw0UQGgJzRo3drlY0nyIlr+mw4d5LFnT2DrVuCBB4ANG/J/vJIlzYOdunVlhHF+TZokj7YOyNhDRt7Cqf/NzJkzBwDQqlUrs+3z5s3DU3fT9cyYMQM+Pj7o3r070tLSEBUVhdmzZ2fuW6RIEaxZswbDhw9HZGQkgoKCMHDgQLz99tuZ+1SpUgVr167Fiy++iI8//hgVK1bEl19+iSiT8Xm9e/fGxYsX8dZbbyEhIQH169fHhg0bsiT68FSm/9j98gtwt3ORiLxdcjKwYgUQEwOEhADffivbq1UDhg6Vwkc9euhfkbuZWbNk/lh2evVyXFuIclOtmjx++60EYlFRkgFx376CH9M0g2K9ejlP63ziCWD5cvNt33wDaLNNbD1kkT1k5C2cGpApy5LvVgQEBGDWrFmYNWtWtvtERERgnel8BStatWqFuLi4HPcZOXIkRo4cmWubPJHpfAnToTtE5IVu3gTWrpUgbO1a8/zvKSn63dFnnzmvjTaiZVLMzv33O6YdRDnZvl2KMmvFoENDJTiyBdMArEIF6/v873/SC1evniQWKVUKKF0auHYN6NdP3489ZEQFw4EYBIABGRHd9e67kgFRuxMCZI5YdLT8eNBX1T//DLz3Xs77sKIJuYKWLeXHXqZMkQQdHTtmfe7114EXXtDXx43L/jjsISMqGAZkBMA8IEtNdV47iMiBjEYZo1yvngxHBGT8UkqKRCJPPilBWP36LpOe3pa00Zc5KVHC/u0gcrZXXjFf79kTWLZMsi7m9qWFKVv2kKWl6cdhDxl5OtfLPUxOYTpshz1kRB5MKSnI/PLLUu31kUfMJ4X06ydBmlYrrEEDjwzGAOunNWGC+TozLJI3+vxz+fO3nC+WG1sGZFrvGMCAjDwfe8gIAIcsEnm8I0dkTtiSJVI3TBMcLKkGNWXKuG2CjvxKSsq6zbQOE+CxsShRjkJDJYlqftlyyKI2ajoggJlOyfPxI+7lFi4EEhIYkBF5tIsXJXWqlkgpIEAqIEdHA48+6rWVj03KV2YqWxZYvRr4738ZjBHlV357yC5flgQh1nD+GHkTBmRern9/eWzXTt/GgIzIjV24IJM/TpzQU7KVKQO0by9fM0dHA126eP1dzq1bwMaNWbeHhwNNmsj8sjp1HN8uIneWnx6yiROlftncucCzz2Z9/soVeQwNtVXriFwXAzICAJw5oy9bJvXYs0fqvjZo4Ng2EVEeJSXptcK2bJEqxz4+MuYoPFz2WbdO/pAJAPDTT/py0aL6DaRWepL1x4jyT+shu3QJ+Ptv4D//yX5frZj0/PnWA7Jz5+SxfHnbtpHIFTEg82KmZeBMp5SY9pAdOQI0biwjmlJSOI6byKXs2CEFgtatMx933KiR9IT5++vbGIyZOXlSHrt2BbZt0wMy018ZEeWPFpABQPfuwJ9/5v4a0y+ETTEgI2/C22svlpFhfbtpQLZrlzzeugUkJwMlS9q/XUSUjfR04M4dIDBQ1o8fl54xQCoYR0dLqvpq1ZzXRjehJfQICbGe3IOI8k8bsggA+/aZP3frFnDoEFC3LjBmjL49u/lm8fHyWKWKbdtI5IoYkHmxvARkd+7oyykpDMiIHM5olArGMTHAd98Bb76pV2l94gkJyqKjgQceYBaKfNCCMNP5KVqcS0QFY9pDZun554Evv8y63VpAppT0XANAw4a2aRuRK2MdMi9mGmyZMp1DZjoKSktBS0R2ppRM3nzpJeDee4FWrYDPPpOUZKaZKEqUAKZMkcLODMbyxbSH7Jtv5Nf30kvObRORuzPtIQOATZv0ZWvBGCBVN9q1k5HWw4bJl8W1askctOLFgQ4d7NdeIlfBHjIvlpceMgZkRA6WkQHUrw8cPKhvCwmR3rDoaKB1a6c1zZOYBmT9+0ua++Bg57aJyN1Z9pBFRUnSjgEDpAf65k39uQYNgLg4Wd6yRR5jYyVR7JEjsj5wIItCk3dgD5kXYw8ZkQs4fRqYN09fL1JEUpMFBkqqvxUrgMRE4Kuv9NT1VGimAZn2yE5GosKxNmRx4ED529KCsWHDgMGDgZUrrR9DmxYLAB9/bPMmErkk/s/uxbLrIbt5U4I1X18GZER2kZgotcJiYoBff5VtLVoA990nyx9/LNVS+dWwXSgF7N8vy1pARkSFl9McMs2LLwLVq8ty795S8w8A3n0XGD9e3+/kSaneQeQNGJB5sex6yAA9oyIDMiIbSUoCli/Xa4UZjbLdYAAeeUT+6DQREc5po5d44QXg7FlZZkBGZDt56WU2TWO/cCGwd6/8czhunCTZuXIFGD4cKF3abs0kcjkMyLyYZQ/Z9u1Ax47SQ1a9OvDOOwzIiGxm0yYZp6Np3FjmhPXqBVSo4Lx2eaFPPtGXTbMsEpHthIUBdero88MAmadp2vHv6wscOCC91n5+wIgRjm8nkStgZ7AXs+whi4jQb04uXwaee04vlgowICPKk/R0KdTcvz8wfbq+/fHHgSZN5JuO48eB33+XsTsMxhxK65jUsIeMyD4+/hgICNDXV66U3jBL/v7m+xF5I/aQeTHLgCwgQG5Ozp/Xt5kWTGVARpQNy1phly/L9thYCboMBqBYMWD3bue2k3Dtmr78wAMsOktkLzVrmgdaXbo4ry1Ero4BmRezHLIYGAgEBZlvu3hRX2ZARmTFxIlSYOfff/VtYWEyW/3JJ53WLMrqk0+ADz6Q5dBQYN8+pzaHyCPFxgJnzkh5xHfeAbZuZY0/otwwIPNilj1kgYFZizpqE98B85wDRF7r2DGgWjV99vqJExKMhYYC3bvLvLBWrSR9PbmUUaP05VKlnNcOIk/24IPyAwD33w9cusRsiUS5YUDmxSx7yHx9ZSy3qfh4fZk9ZOS1Tp0CliyRIYn790s10/r15bnRo4EePaQCquUfELmssDBnt4DIOzAYI8odAzIvZtlDZjBk7SEzdeaMfdtD5FISE4GlSyUI27VL3+7nZx6QmX4dTC7L8t+7Z55xTjuIiIgsMSDzYqY9ZFpt2py+4N+7F0hIAMLD7dsuIqf7/XcgMtK8Vljr1jIc8YknpEgfuZWbN83Xn3rKKc0gIiLKggGZF9O+Ma5aVe49gZx7yABg40Zg4ED7tovIoW7cAH74QYruDRgg2xo0kElGVavqtcLKlXNuO6lQLAMyIiIiV8GAzItpPWS+Jp+CHTtyfk3ZsvZrD5HD3L4thZpjYoBVq4DUVKBSJaBfP5nw4OcnyTtYNdhjmAZkGzc6rx1ERESWONXSi2k9ZKbJ4EzT3GsaNtSXv/vOvm0isqtffwWGDpXers6dgcWLJRirXFmCsVu39H0ZjHkU7dKGhgIdOji1KURERGYYkHkxrYcst+zc5cpJAVUA+Oor81T4RC5NKfnRLFoEfPEFcOWKTIYcNUoSdpw4Abz/vhRvJo+k9ZAFBjq3HURERJY4ZNGLpafLo5+fvs1gML9/BST1vWnB6IQEGd1F5LIOHZLhiEuWyLcILVvK9gEDZK4Ya4V5ndRUeQwIcG47iIiILDEg82LWAjLLYAwA/v4bqFhRX09IsG+7iArk5Em9VtiBA/r2pUv1gKxpU/khr7N7tzxWq+bcdhAREVliQObFbt+WR9PMivXqAfv2Zd33yhV9edgwmX5D5BIuXAC6dAF++03f5ucHdOwoPWH//a/z2kZOd/s2MGcO8NJLsq5llCUiInIVDMi8mLUesuXLgYkTgRo1gPHjZVuRIpIZXFOmjMOaSJTV1avA4cNA8+ayXqYMcP48a4WRVaNHS0CmCQ52WlOIiIisYkDmxaz1kFWtCnzzDbB9u75t0yagbVt9vXRpx7SPKFNqqtQKi4kB1q+Xu+rz5+XbBINBknVUrcpaYZSFaTAGAC1aOKcdRERE2WGWRS9mrYdMYzqXrEkT4NVX9XUtkCOyq9u3JQjr00cK4EVHA6tXywe3fHnzdJ/NmzMYo1xt2QI0buzsVhAREZljD5kXyykg01LiA5IJ/L33pFPi9df11xHZ1bvvAu+8o69XrQo8+aQEZnXqOK9d5DZM6yY2bQq0aeO8thAREWWHPWRezNqQRWt8fOSnfn1Z/+03YNAg86CNqMCUkg/V6NHShaHp0QPnUA4zMBp/fLob+Osv+WaAwRjlwbVrQM+e+vrq1U5rChERUY7YQ+bFcuoha9lSvlGuVUvfZrrf118D3boxgR0VwoEDeq2wkydl28WL+oTFunVRCWdhRBF8eAtobHBeU8n9bNigLy9cKKNeiYiIXBEDMi+WU0Dm52eeRRzI2pN27ZpdmkWe7M4dYOpUCcQOHdK3BwVJ6voBA/RtBgOMkMLNWv3ml1+WmO3rryWXB1F2tHqJ3boBffs6ty1EREQ54ZBFL5bXIYsaa4EbUa5SUvRlX189GCtaVIKwJUuAxETJlBgVZfUQn38u2e4/+kiygB496qC2k9tKTpZH9owREZGrY0DmxXLqIbMmr4EbEa5cAb74QrIoVKggaes148cD//d/EoStXAn07i09ZBZMk8fEx5t3qJ0/b7+mk/PMmwfcf79tAm4tIGPdMSIicnUcsujFtB6yvAZk7CGjHF2/LpkTYmKAjRvNI6pfftF7v558Mk+HMy1GDgD79+vLZ85k/7pLl6QjLjQ0b80m1zF4sDyOGAH8+KMsnz4ttb+LFcvfsRiQERGRu2APmRfT7pfz2vNlud+dO/pND3m5lSuBsDCZrLNmjXy4HngAmDxZEnZkMxQxJ5YB2YgR+vK+fdZfs2mT3LzXry/xIbm+jAwJvl54Qd+2ZYt8hA4dAipXBh59NP/HZUBGRETuggGZF/v3X3ksUSJv+1v2kH3xBRASIqPPyItod9CmWV/q1ZMI6j//kSGJhw5J1PTqq3JHXQCWAZmpGTPMi5drtLjv9Glg27YCvS05yB9/ACVLSm9m+/bAzJnmzxctqlc42LEj/8c/dkweWS+ciIhcHQMyL/bnn/Ko1RfLjWUPmXY/PmRIzq/LyJB79A4dcr7JJhemFLBrFzBqlMwJa98eeP99/fkqVYCDB4Hjx6WYs2m9hAJKSsr5+cuXzdctC5bHxBS6CWRHvXtLopa8ykvdQ6WAiROBFi2AuDjZFhlZoOYRERE5DAMyL3XrltTZBWRkWV7kJ6nHmjVyz56YKDWA3nsP2LwZ+Pnn/LeVnGj/fuC114CqVYGHHgI++UQuasmSQESEeTdV7do2zUWfW1kFy3lklgFcTIx8zsk1aT30llassL7dMgC35tAhYNIkmbIIABUryg8REZErY1IPL3XkCGA0yn11eHjeXlOmjPXtvlY+RZ07y+N77wEBAfr2/HwjTi5g2DDpGQMkE2LXrkB0tETbdk67mdtnxTLTorUetX37pMA5uR4tqRAg/w5duQJ8+KF8xNasATp1Mt//ypXcU9h//rn5eseONmkqERGRXTEg81Jaxro6dfLeqeGTTX9q6dLm6599pi+np+sFWgG5qSIXdO4csHQpsGyZZEosVUq2P/WUJOuIjpY75PymuiuE3HrITDPpA3pAFhqqv/bcORs3imxi9Wrz9aFDpeh3yZKy/thjwEsvASdOAD/9JMG5dr2TkyXQSk2V50znwG7dKo9RUTKKdvJke58JERFR4XHIopfShgU1aZK/1x08CLRubb7N9JtuQDpVNEWK6DdJAHvIXMrly9Kl0Lq1jOt68UXg11+B77/X9xk6VD4svXo5NBgDJDGHNa1ayeO0aebbL1yQx/LlgSeekOWXXpKRlhcv2qWJVEBdupivjx8v3wFoXw4ZDNJbtny53jOvBWS9e0un7f79UlN82zZg8WLpDT10SF77zTfAnDksfUBERO6BPWRe6tQpebQMrnJTu7bcw1erpm+z7Kkw9c03QEqKvs4eMhdw7BgwZozUCrtzR9/+0EPSE9a1q9OaZsqyFwUAZs8GnntOlmNj5eb74EH5XGqBf8OGQPHisnzypPy8/DIwf75su3xZnmehc+cbNQp45RWrdcEzac+lpkqNuQ0b9Oe0z4Kpxo1zH9pIRETkSthD5qW0niptiFB+3Hef3AyvXSvraWnZZ0AzDcZM35ccKC3NvLspNBRYv16Csfr1galTJULfuRMYOdIl7mZTUvRaYw0a6NuHD8+6r1afTBuG26KFlGMwdfKkPP7xh5yev7+M0CTHM+1RnzhRejRz4u8vj3FxwA8/5H580y+LiIiI3IFTA7IdO3agc+fOKF++PAwGA1auXGn2vFIKb731FsqVK4fAwEC0a9cOx48fN9vnypUr6Nu3L4KDgxEaGoqnn34a1y0qwu7fvx8tWrRAQEAAKlWqhGmWY50ALFu2DDVr1kRAQADq1q2LdevW2fx8XYkWGOW1BpmlBx80713Lazp79pA5yJ07ktZy8GCZAzZwoP5c2bJSPO7wYbnLHTdOMia6kMREeQwKkqb6+QFvvJH9vrduAbt3y3qdOlkDsp9/lilwy5dLMhtAhr6VKCHzjCyH3bqy9euBRYv083A3pv8859QzptHKa7zxhnycgeznswLAhAkFbxsREZEzODUgS01NRb169TBr1iyrz0+bNg0zZ87E3LlzsXv3bgQFBSEqKgq3THJZ9+3bF4cOHcLmzZuxZs0a7NixA0OHDs18Pjk5GR06dEBERARiY2PxwQcfYOLEifjcJB3Xr7/+iujoaDz99NOIi4tD165d0bVrVxw8eNB+J+9EGRkyMR4oWA+ZxjR7olaEFQAqVcr+NewhsyOlZA7Y889LrbAOHYB58yTbxcmT5lHzU08B99/vtKbmRpsPVras9JClpkp5M2vOnpXesWvXZL5RkybWb/TXrgWmTDHfdu0a8Prr0guzfLktz8A+1qyRhBf9+smoU2ek9b96VYZ/WvZ+55U2xLlo0YIPGx09Wl9+7DFp09698ifAHjIiInI7ykUAUCtWrMhcNxqNKjw8XH3wwQeZ265du6b8/f1VTEyMUkqpw4cPKwDqjz/+yNxn/fr1ymAwqH///VcppdTs2bNViRIlVFpaWuY+r7zyiqpRo0bmeq9evdTjjz9u1p6mTZuqZ599Ns/tT0pKUgBUUlJSnl/jLIsWKSW3LkqlpxfuWNpxunaV9b/+0reZ/vzf/8ljnTqFbz9lY8AA8196qVJKDRum1PbtSmVkOLt1+bJypZxC06ZZn1uwIOvna84ceWzeXPZ54w3rn8Pcfk6fdux55kdSUtb29u9vn/dKS1MqOdn6c489Ju/dp0/Bjn34sLy+ZMm87T9unPk5t28vbRs7VqkiRZTatatg7SAiIrKn/MQGLjuH7OTJk0hISEC7du0yt4WEhKBp06bYdbcu0q5duxAaGopGjRpl7tOuXTv4+Phg993xS7t27ULLli1R1OSr2KioKBw9ehRX73bX7Nq1y+x9tH2097EmLS0NycnJZj/uom9ffdlaDbGC0Ea8acVeAwPNn9c6YwrbQ3bggMw7SUsr3HHc3l9/SZfRP//o29q0Ae65B+jfH1i3Tgp1zZkDtGyZ8xgvF6T1kFmrfdezZ9Zt2tyyypXlUath5esrJdMsLVkCNGoEvPmmXkQYcO1esh9/zLptwQLg4YdtO+RSKfnd1KghSTQsaaO5Fy8Gvv5aMiSa1gfPjTZkMS/DFQGZ4jhnjiT5fO89YNMmScoydaoMgW7WLO/vTURE5IpcNstiwt3iVWFhYWbbw8LCMp9LSEhAWYsEBL6+vihZsqTZPlWqVMlyDO25EiVKICEhIcf3sWby5MmYNGlSAc7MddSrV/hjvPKK3Bhp6aq1+k916wK//67vpxWfLsgcsm++kbTlffsCDzwg23x8gLfeKnCz3dO//wLffgvExAB79si2YsUktzsgk6J69coaDbsh0yGLlnIa5qYFZM2aAX/+KeshIfJZNC0Qff/9kuBD07SpzEH7669CNtxOlAI+/tj6czt3yrk0b26b97pxQ774AOT3l5oqf8/vvZe1WPOgQfL4xBMyr3TnThktq10Ha7QEKxb/5OZo2DDzchqA/JsTHJz3YxAREbkq9/ra3IW89tprSEpKyvw5e/ass5uUJ6ZzTrQsiYVxzz3yqH3rrQVkoaHAV1/p+2nJQ27elDkfef1G3WiUfBQvvyzp9jXbthWm1W4kNVUqbbdqJZPzXnpJgrEiRWSOWM2a+r4BAR4RjAE5B2SmhczbtDF/zvS7l3r19OQe991nvl/VqubrWs6T3ApJX7sGdOsm9bMdZfVqmfu2Y4esv/de1n1M53AW1uXL+rI23+vAAfniZfp0669p2FBqiz38sJQgyG5u28WL8r0BYB4gExEReTOX7SELv9ulkpiYiHLlymVuT0xMRP369TP3uaDdud11584dXLlyJfP14eHhSNRStpkcw/Q9sttHe94af39/+Gv5mN2Idpr+/rmnm86LnAKyp56SG7ratc2/yV6/Xm58K1TI/fimiQNMs6f99JM8p9Wb8ihK6VFHRoZkMNDucB9+WGqF9ejhEunp7eH2beDTT2U5hz9BAMAzz8ivaPt2WW/Rwvp+JUvKsNrTpyW41z63Gm09p5p6gBSjXrlSfjSbNwMWI55t5vvv5VJrHntMkpD07AlUr65vt2X+oex6sffulR6w7Gh1427ckACxbl3pKTtzBpg7V2qMm36pYm3oKRERkTdy2R6yKlWqIDw8HFu2bMnclpycjN27dyMyMhIAEBkZiWvXriE2NjZzn61bt8JoNKLp3a9fIyMjsWPHDqSnp2fus3nzZtSoUQMl7nbbREZGmr2Pto/2Pp7k/Hl5DA8372koKO1GdskSuZE2TadvMEhZq9ats05hWr8+b8fXAjxrxo/Pd3Nd161bwIoVMuTQNKoIDgZefFEigdOnJX/7c895bDAGyHXVUro3bmx9ny++AF54QX5dH3wgN/4LFpgHKZaWL5de26lTsz5n+cVCdqwNaezb134p6N9/33xdmytWrZrE7XPnyvqRI/J44oR5re+CMO0hM3Xzpvn6339nP0yyXj35mz9zRtaHDZPeSu1vtmdP4JFHCtdOIiIij+GAJCPZSklJUXFxcSouLk4BUNOnT1dxcXHq9N1UZ1OmTFGhoaFq1apVav/+/apLly6qSpUq6ubNm5nH6Nixo2rQoIHavXu3+uWXX1S1atVUdHR05vPXrl1TYWFhqn///urgwYNqyZIlqlixYuqzzz7L3Gfnzp3K19dXffjhhyo+Pl5NmDBB+fn5qQMHDuT5XNwly+KKFdlnryuIpUv17GezZik1apQsv/JK1n2bNjXPDmc05n78uLjsM+KVLWubc3Ca9HSlNm5U6qmnlAoONj+5Y8ec3TqnMf01mPyp29XGjfJ+9erlvF/PntY/i2PH2q4t6elKXb0qyxUqmL+PSdJZpZRSa9bI9gYNlJoxQ5ZfeKHg7337tlItW+aejfL6ddn/r7+Ueu45pVavNv/7zu3nxImCt5GIiMgd5Cc2cGpAtm3bNgUgy8/AgQOVUpL6/s0331RhYWHK399ftW3bVh09etTsGJcvX1bR0dHqnnvuUcHBwWrQoEEqJSXFbJ99+/aphx9+WPn7+6sKFSqoKVOmZGnL0qVLVfXq1VXRokVV7dq11dq1a/N1Lu4SkM2eLTdEXbrY5ni//67fZA0apC+//37Wfdu00Z//z3/05T17sj++5U1eVJRS69bJckSEbc7BKb76SiJK05OrUEGpl16SX0heolU3d/myUr/9Zr7NaFQqKEh+HWXKOK4tO3fqn8uctG4t+/XurdSOHeaX78yZwrdj/379eFu3KhUaKss//6zU3LlK3bhhvn9srPWAp6C6dct6rEcfVapjx7wdPyNDglrTfT/6SKmDB5Xq3l3KYyxaVPD2ERERuQu3Ccg8ibsEZG+9JTdJw4bZ5nhXr1q/IXzzzaz7zp+f/Tfm1hw5Yr5PWJhs//tvfdvIkW4QuxiN0tX3zz/6tu+/lxNw41phhdWunX4dO3VS6s4dvUc0IEApi+9V7GrfPnnf8HDz7bdvm6/Xri37bd4s61Wr6ucQGlr4S1i6dNa/DYNB75GylJho/e/pzp38v/f27daPNWSInJe2nlugfPGiBJYZGXpPHxERkbfxiDpkZB+mc8hsITRUz6BoylpdpP79gVGjrB9HqazbtPkngOS1OHVKlk1rU336qcwlyqFkXL4oZcP5QMePA2+/DdSqBTRoYJ7R4LHH3L5WWGEkJ5vX1VqzRn5dWnKOdu2yJt6wJ+29rl7V52DNmCGJK03ncWl1ubTPoJZ8BJD5jhER1j/LeWWt7td992Vfs6tsWT31vCnTZDh5tWKFvnz4sL5csaJ8NN98U9Y3bsz5OKVLS0IPHx/594GIiIhy5j13gAQA0Eqr2SogA7LWBwIkmYclg8E8Y5wp0+ALkCyMWnrvtm31m2Mg6436J58ADz2UNelAQXTuLAVxc8u2l61//gE++kgq61avLqkhjxyRtJamd8kBAcCjjwJ+foVvtBuySGoKQFLda9UjckrOYQ+VKkkgkZYmNbUeeggYM0aC8zfekJgZ0C+hlt3z0UclANOKT//zj/43ll8ZGXqiHdNqBrnlb5kyRYIm7e8DyDkZTna0ZLYBAVKn7e23JTmHVnT77bflXBs0yP+xiYiIKHsMyLzIwIHADz/IskklgULTaj2ZqljR+r7ZFXL99Vfz9a5d9d4SywKyBoNeC9nU0aM5NjNXRqPUZvvrLwn68l1r6s4dqVz98stAbKzUCuvYEZg/XyKQ7Io4eYnUVODZZ6X+1LRpWZ8/f17vBc3u82Mvfn56GYYffsja4/rcc8C990pKdyBrj5Xppf3pp/y//x9/mNfn27pVf65Xr5xfW7aspJk/c0b/oqUgAZkWbD79tDy++aYU1/bghJ5EREQugQGZlzh/HvjmG33dslBuYWQ3nMoa02/+AaBfP3k0vQEF5AZVYy219ocfAqtWmW8rbG1uy2Fe1nr5zHZesEDuXrW7aF9f6V5p0QKYPVt+6evXAwMGWI9avcwbb8iozd9/B778MuvzTz4pdbcAiWsdLbsvCzSmny/Lz3ydOnpK95iY/L2vUlJebtMmfVu5cjJ8csMGvYcqJ4GBMoxSGyKYXS2xnFj2/hEREZFjMCDzAkajjKAzZRkYFUaxYubra9dmv6+/v3mBZ60dX36p1z627C1r08b6sdq1k94WjeWwx/yyvIm9cEHmOmW6dUuv1Fu2rARaX30lvWGazz4DduyQu2jTyW5kNmdM07ev9XmF2V1zezKdD6Zp107mKFqy/MwDwH//K4/a5zevc8muXjWfcxkdLY+hoUBUVP5GtWp/T23byvDL/Dh5Uh4dOXePiIiIGJB5hW3bZE4WIHNj/vnHtvkjAgP15UcekaFXORk6FChVChgxQib/a7Q2Ll2qb6tdW4rgWlOsGPDbb/oN/ZkzQHq69LqVKCFTuTIy8n4e1noV/voLwP79wFNPSRDWo4cEZbduyWSziRPNx38WKZL3N/Qy1uaNvf66XDNTVavapmh5fj3wgJ5b8Nw54JVXgEWLpPD04MHm+1r7+9GCocuX5XW+vvKYGy0QAmTu1uLFBT8HbbghYL2IdXZu3gRWr5ZlJuIgIiJyLAZkHiw9Hdizx3w+yccf63NlbMW0t+DQodz3L19ebs4//VSSaGj27JEeqaQkWX/zTSAuLvcYp1IleZw2TZIrLFok5/zyyxKU5YVS+o1wwwZGdGt/HcDdxIgXLsg8sJQUebOxY4G9e4H4eOnus/Uv1AMppV9XU7VqyXxBU9o8R2cqV06SZZQtKz1U//d/MhI1J8WL6/Ot+vWTnul+/WQ4YrNmesB/9KgkrLl1S34vJ07I9jJlzIfqFkSnTkDJkrKsZYvMi7Fj5bFIEaB798K1gYiIiPKHAZmHmj8fKFoUaNxYn9tSo0bWoYu2YBqQWZsbZI0WZBkMclMOAL17S3u1uSzh4XkbrmU6bFFLBKIxTeWdkymTFbZN34tpGIsNRytjepDk+J4/H7jeuLVEdz//LFknpk2TVHMGA+LjZe5TXgJRb3brVtaesGPH5LF9e4lvDx4EfvlF/zy4Gu1vJ6eEI0WLZt22cyewe7dMK7x1C4iMlL/JwED5fGtJOzp2zN98zOxox8guIDt9Wnr9tBIYaWkyHRKQ5CS2zMBKREREufN1dgPI9jIyZISd5sgReYyMtM/7md6EWkvAkRvTIVLHjkktJyDvyQVatJB5N6bJFMaMkZvLXJMbHD2KOwti0O29JXgNd9M03gBKHdmA0qWm49JlA/46WQT1P/ggy0tPnNCDh0uXrM+RIrF7t/n6Aw/oQ1ENBvdIpT5pkqTGb9w4+32uX8/+uTff1Gt5aUyH1HbsWLj2aXzv/qtuGQAD0tlbubIsb94sv3ct46Wvr2STJCIiIsdiD5kH+uUX69tLl7bP+5ne+BUkmaA2xEqzebM85pb1ztTXX+vLq1frAenVqzm8qFMnoGZN+L43CTVxFDcRgKvtZI6YIS4OYeEykemtt7K+dN484D//0ddPn857W71R79768oMPSk0rd1O8uMx502qOWTN/vr780EMywjWvCXT69Clc+zRar7K1HrK9e/XlzZvNyw+0aKEHc0REROQ4DMg80O+/W99ur6R/pgVpC1LnOLuaaPkJ7ooWlWQgr78ucVaJErL94kXg77+Bf+IuIm3WF2ZdEgdu3gejTxEkPfQo+uMbNCiXiBKbl0nq+oCAzIBr/fqsN7eTJ5uv5yd49EamPZWxsUCXLs5riz116gRUqSKf3cWLJVCPj8/aU7t6tdQ0a9JE1rV5kLagBVWWn1mlcg767NWDTkRERDljQOaB4uPlsU4d8+326iFr3lyy0H34YcFe/+ST1rc3bJi/4/TsKckSDAbpdSuOZAzAfBy/ryPCHywH/5FDcfH77VBKgqwOW19BWWMC+oSuw0L0R7Fw86hKq9t2544kF9F89BFw/Lgsa1kitfk4gCRlrFJFcn307SuB4t690huhJVm5eTN/5+buunWTx4IMaXUnPj4ScGpDb7VskSVKmJd7ePRRmUP200+SqNOWw11NhywajZL51GCQ4Yg59Rg/+qjt2kBERER5xwEqHiooCBg3TkplacLC7PNeBoNkoSuoNm2kdlOvXpKSH5ChXwUqUHvzJrB2LYrFxOAC1iIAejGmPWiIq3/cQUKa9nuRrrl16+T58uXNDxUSIokc9uyR+T19+wKffKI/HxoqJcdKlJCAbMECSWqyY4e+z+LF1tOYGwwyrLJKFTnP3r2lF+WDD4BhwyQrnyfRErUMGeLcdjiC1jtryXTumRY0BQaaB2q2YNpDduKE/nmcO1ffZ9Ei+TwDUlpi2TJJuU9ERESOZ1Aqr+VLKSfJyckICQlBUlISgl1g/JrRKD+mQwhTUly76OvNmzLksEsXoFWrAh7k99/N0i7GoyZiEI0leBLHUR1Tp0p9KWtGjjQPuICc62GdPg3ce6/c0B4+XMD2ZqN1a0lSYq8g2tEeegjYtQtYvlzvLfM2Ssl8xFq19OLP9tCsmSRRWb1aPr+mpSUAYOtW+XwlJABTpwIvviifYyIiIrKd/MQGHLLooXx85Jty0xt6Vw7GAOktmDEjj8GY0Shf/Q8fLl2BmsaN5W5z3DicWxuHWjiMd/AWjqM6APNgzDJFv7V0623bWn/7cuX0m9j+/a3v06qVDEfbvRtYuBB4/nnz53v2lGDOmm3bJHjxBErpRYqzmy/oDQwG4J137BuMAXoP2cGDWYMxQK+nFh4uf28MxoiIiJyLQxY9XPHiUoTZIyglk7FiYoBvv9XHN4aEyJ2uv7/c9W7dCgAoD6lLVqKEFHj+9FP9UJUrA08/LcMVly+XOM50eKdm3jzzG9b27YH77jOfL9etm/R83H+/FALevFmef+ABfZ8mTSQr48qVQNWq0p7qEiNiwQLJjNm8OfD440BUlMxD8pTrdvCgJFcJDJQMi2RfWkBmOkRRExbGTIpERESuhv81e7i6dfXeCbc2Z458na9l0wAkteETT0iXQzZ3mS1bymP//lKY12iUdW2+2Pffy9yt0FDpVbRUqZJkaTx5Ut7OWg2qGjWkDllQkBS8HjvW+ik0awacOZN1e//+5r1sHTtKQHbpkvXjuJOzZ/UezzZtrBdOJtvShilfvJj1ucBAx7aFiIiIcseAzMN9+ilw+7bMj3IrZ87I1/n+/rJ+/rwEYwEBMg4rOlrSwpnm3M9BkyaS8X7GDGD8eGDmTP05yzpolqpWlZ+c2HLaoFaeYPNmKeRbtqztju1oPXvqKd8fe8y5bfEW2ncTppk8778fSE2VHl8iIiJyLUzqYSOultTDLV28KOneYmJkDN+KFUDXrvLciROSirFLlwKmX3Qfv/yiz/Np0kTmoLmT4cOBLVuAtWv1YZkREcCBAx5/6VxC/frAvn36eqNGkl4/KMhZLSIiIvI++YkN2ENGzpWcLIFXTIwUY9IKNxsMclepBWR56abyEA8/LPPJdu7Mvsi3K4mJkXh53DiZt6TNXdKCsYoVZchnThkryXZMgzEAeO01BmNERESujAEZOc/581KIK02vFYbGjaVSdO/eUlnZSy1frmfIzMiQuWmuaM0aoE8fWR4/3vo+o0YxGHMmdtgTERG5NgZk5Bjp6dID9vff+oS2cuVkcktamswJi46WFIZkVlz42jWgVCmnNSVbBw5YT6tetqzMfQMkQcmYMY5tF5mrU8fZLSAiIqKcMCAj+zEaZUJUTIzMDbt8WZJwDBigf22/ZYtEH+xCMePnJ8PMUlOBq1ddLyDLyDBP669p106SkfzzjyQn0XKykOOULKknUmnXTuqNERERketiQEa2d+iQpHMzrRUGSNdJr16S/k0LyHJLcejFSpeWgOzsWdfrODRN379okVxWHx+9dEDFis5pFwE//yx17ho10qdgEhERketiQEa2oZTey7V+PfDRR7IcEgJ07y7DEVu1YlXafEhIkMeoKCld4Eq0HpgKFfQ5ZOQaatUC/vc/Z7eCiIiI8op3x1Rwp08DS5bIkMQxY2QoIiAJOfbskSCsY0eOWysgLddJerpkzgsJASpXdmqTMl29Ko+mc92IiIiIKP98nN0AcjOJiVJtunlziQ5efVWihW+/1fepVEkCtS5dGIwVwp49+nL9+pKQ8rXXzPdJTASWLgVu3TLfnp6e//czGiW2PnfO+vNpacD169Jbt327bOOIUyIiIqLCYUBGeZOeLr1d5csDzz8vRZoNBhmG+NlnwDffOLuFHqdhQ6BHD/NtU6aYT8vr1k06JAMDgY8/Bi5dAoYNA4oWlQoCly/n7b2SkiS1fp8+wMCBss1olOLO338vySGCg6Wws78/8O67so8XVyYgIiIisgkOWSTrbtyQqsStWsm6n58k4zAa5U4/OloyOfCO3K6UyrqtRw/gt99kedcuffvo0fKj2bMHWLUKGDw49/eJjtaXf/wxb0kvW7TIvvYYEREREeWNQSlrt3yUX8nJyQgJCUFSUhKC3bUSa3o6sGmTjFtbtUoCsHPnJDsiAMTGykQmV0v558F+/hlo2TLr9iNHJK18ftLhL14MVKsmPW8GA7BunXRuBgcDCxfm/NqQEGDsWCAiAvjpJ+lJa9MmX6dCRERE5DXyExswILMRtw3IjEZgxw4Jwr77Tk+fB8gcsZgYoFkzpzWPgFmz5BJ9+CFw77369goVgH//BapWBU6c0Lc3aSJB15w52R+zfXupF2YqIgKYMEF63UqWlBJxCxcC1auzTBwRERFRfjAgcwK3DcjmzTMf0xYWJkMRo6MlEOOduEtp2VJ6zUxNmQI8/bTE0089JbW379wBXn5Z5pXlpnNnGZE6bhzQtKldmk1ERETkVRiQOYFbBGSHD0uPV61a+qShy5eB+++Xu3LWCnN5P/4IPP64eV2y9esl34o1N24AxYrJslLA9OnA229LwObjA3ToIEk7iIiIiMh2GJA5gcsGZKdO6bXC9u+XbQ89BOzcqe+TkSEp9shtbNgA9O0rFQZ+/lmyH+aXaS1vIiIiIrKd/MQG7ArxVJ99Bsyfb56Gz88PiIqSjAymd+MMxtxOx46S4r4wARWDMSIiIiLnY0DmqdaskWBMqxUWHQ10785Kvh6EARURERGR+2NA5qmefx5o21YSdJQv7+zWEBERERGRFQzIPFWHDvJDREREREQuy8fZDSAiIiIiIvJWDMiIiIiIiIichAEZERERERGRkzAgIyIiIiIichIGZERERERERE7CgIyIiIiIiMhJGJARERERERE5CQMyIiIiIiIiJ2FARkRERERE5CQMyIiIiIiIiJyEAZmFWbNmoXLlyggICEDTpk3x+++/O7tJRERERETkoRiQmfj2228xZswYTJgwAXv37kW9evUQFRWFCxcuOLtpRERERETkgRiQmZg+fTqeeeYZDBo0CLVq1cLcuXNRrFgxfPXVV85uGhEREREReSAGZHfdvn0bsbGxaNeuXeY2Hx8ftGvXDrt27cqyf1paGpKTk81+iIiIiIiI8oMB2V2XLl1CRkYGwsLCzLaHhYUhISEhy/6TJ09GSEhI5k+lSpUc1VQiIiIiIvIQDMgK6LXXXkNSUlLmz9mzZ53dJCIiIiIicjO+zm6AqyhdujSKFCmCxMREs+2JiYkIDw/Psr+/vz/8/f0d1TwiIiIiIvJA7CG7q2jRomjYsCG2bNmSuc1oNGLLli2IjIx0YsuIiIiIiMhTsYfMxJgxYzBw4EA0atQITZo0wf/+9z+kpqZi0KBBub5WKQUATO5BREREROTltJhAixFywoDMRO/evXHx4kW89dZbSEhIQP369bFhw4YsiT6sSUlJAQAm9yAiIiIiIgASI4SEhOS4j0HlJWyjXBmNRpw7dw7FixeHwWBwdnNsIjk5GZUqVcLZs2cRHBzs7OZQHvCauRdeL/fDa+ZeeL3cD6+Ze+H1yp5SCikpKShfvjx8fHKeJcYeMhvx8fFBxYoVnd0MuwgODuYfmZvhNXMvvF7uh9fMvfB6uR9eM/fC62Vdbj1jGib1ICIiIiIichIGZERERERERE7CgIyy5e/vjwkTJrDemhvhNXMvvF7uh9fMvfB6uR9eM/fC62UbTOpBRERERETkJOwhIyIiIiIichIGZERERERERE7CgIyIiIiIiMhJGJARERERERE5CQMyDzd58mQ0btwYxYsXR9myZdG1a1ccPXrUbJ9bt25hxIgRKFWqFO655x50794diYmJZvuMGjUKDRs2hL+/P+rXr2/1vTZu3IhmzZqhePHiKFOmDLp3745Tp07Z6cw8kyOv19KlS1G/fn0UK1YMERER+OCDD+x1Wh7NFtds3759iI6ORqVKlRAYGIj7778fH3/8cZb3+umnn/Dggw/C398f9913H77++mt7n57HcdT1On/+PPr06YPq1avDx8cHo0ePdsTpeSRHXbPly5ejffv2KFOmDIKDgxEZGYmNGzc65Bw9iaOu1y+//ILmzZujVKlSCAwMRM2aNTFjxgyHnKOnceT/Y5qdO3fC19c323sUb8OAzMNt374dI0aMwG+//YbNmzcjPT0dHTp0QGpqauY+L774In744QcsW7YM27dvx7lz5/DEE09kOdbgwYPRu3dvq+9z8uRJdOnSBW3atMGff/6JjRs34tKlS1aPQ9lz1PVav349+vbti2HDhuHgwYOYPXs2ZsyYgU8//dRu5+apbHHNYmNjUbZsWSxcuBCHDh3CG2+8gddee83sepw8eRKPP/44WrdujT///BOjR4/GkCFDeMOYT466XmlpaShTpgzGjx+PevXqOfQcPY2jrtmOHTvQvn17rFu3DrGxsWjdujU6d+6MuLg4h56vu3PU9QoKCsLIkSOxY8cOxMfHY/z48Rg/fjw+//xzh56vJ3DUNdNcu3YNAwYMQNu2bR1yfm5BkVe5cOGCAqC2b9+ulFLq2rVrys/PTy1btixzn/j4eAVA7dq1K8vrJ0yYoOrVq5dl+7Jly5Svr6/KyMjI3LZ69WplMBjU7du3bX8iXsJe1ys6Olr16NHDbNvMmTNVxYoVldFotO1JeJnCXjPNc889p1q3bp25Pm7cOFW7dm2zfXr37q2ioqJsfAbexV7Xy9QjjzyiXnjhBZu225s54pppatWqpSZNmmSbhnspR16vbt26qX79+tmm4V7M3tesd+/eavz48dneo3gj9pB5maSkJABAyZIlAcg3Gunp6WjXrl3mPjVr1sS9996LXbt25fm4DRs2hI+PD+bNm4eMjAwkJSVhwYIFaNeuHfz8/Gx7El7EXtcrLS0NAQEBZtsCAwPxzz//4PTp0zZoufey1TVLSkrKPAYA7Nq1y+wYABAVFZWv605Z2et6kf046poZjUakpKTwuhaSo65XXFwcfv31VzzyyCM2arn3suc1mzdvHk6cOIEJEybYoeXuiwGZFzEajRg9ejSaN2+OOnXqAAASEhJQtGhRhIaGmu0bFhaGhISEPB+7SpUq2LRpE15//XX4+/sjNDQU//zzD5YuXWrLU/Aq9rxeUVFRWL58ObZs2QKj0Yhjx47ho48+AiBzX6hgbHXNfv31V3z77bcYOnRo5raEhASEhYVlOUZycjJu3rxp2xPxEva8XmQfjrxmH374Ia5fv45evXrZrP3exhHXq2LFivD390ejRo0wYsQIDBkyxObn4U3sec2OHz+OV199FQsXLoSvr6/dzsEd8bfhRUaMGIGDBw/il19+sfmxExIS8Mwzz2DgwIGIjo5GSkoK3nrrLfTo0QObN2+GwWCw+Xt6Onter2eeeQZ///03OnXqhPT0dAQHB+OFF17AxIkT4ePD72kKyhbX7ODBg+jSpQsmTJiADh062LB1ZInXy/046potXrwYkyZNwqpVq1C2bNkCv5e3c8T1+vnnn3H9+nX89ttvePXVV3HfffchOjq6MM32ava6ZhkZGejTpw8mTZqE6tWr26q5HoMBmZcYOXIk1qxZgx07dqBixYqZ28PDw3H79m1cu3bN7JuPxMREhIeH5/n4s2bNQkhICKZNm5a5beHChahUqRJ2796NZs2a2eQ8vIW9r5fBYMDUqVPx/vvvIyEhAWXKlMGWLVsAAFWrVrXZeXgTW1yzw4cPo23bthg6dCjGjx9v9lx4eHiWbJqJiYkIDg5GYGCg7U/Iw9n7epHtOeqaLVmyBEOGDMGyZcuyDBOmvHPU9apSpQoAoG7dukhMTMTEiRMZkBWQPa9ZSkoK9uzZg7i4OIwcORKA9MYppeDr64tNmzahTZs29j1BV+bsSWxkX0ajUY0YMUKVL19eHTt2LMvz2kTN7777LnPbkSNH8p0kYsyYMapJkyZm286dO6cAqJ07dxb+RLyEo66XNf3791eRkZEFbru3stU1O3jwoCpbtqwaO3as1fcZN26cqlOnjtm26OhoJvXIJ0ddL1NM6lE4jrxmixcvVgEBAWrlypW2PQkv4oy/Mc2kSZNUREREodrvjRxxzTIyMtSBAwfMfoYPH65q1KihDhw4oK5fv26fk3MTDMg83PDhw1VISIj66aef1Pnz5zN/bty4kbnPsGHD1L333qu2bt2q9uzZoyIjI7PcmB8/flzFxcWpZ599VlWvXl3FxcWpuLg4lZaWppRSasuWLcpgMKhJkyapY8eOqdjYWBUVFaUiIiLM3oty5qjrdfHiRTVnzhwVHx+v4uLi1KhRo1RAQIDavXu3Q8/XE9jimh04cECVKVNG9evXz+wYFy5cyNznxIkTqlixYmrs2LEqPj5ezZo1SxUpUkRt2LDBoefr7hx1vZRSmX93DRs2VH369FFxcXHq0KFDDjtXT+Goa7Zo0SLl6+urZs2aZbbPtWvXHHq+7s5R1+vTTz9Vq1evVseOHVPHjh1TX375pSpevLh64403HHq+nsCR/y6aYpZFHQMyDwfA6s+8efMy97l586Z67rnnVIkSJVSxYsVUt27d1Pnz582O88gjj1g9zsmTJzP3iYmJUQ0aNFBBQUGqTJky6r///a+Kj4930Jl6Bkddr4sXL6pmzZqpoKAgVaxYMdW2bVv122+/OfBMPYctrtmECROsHsPym95t27ap+vXrq6JFi6qqVauavQfljSOvV172odw56ppl9+/mwIEDHXeyHsBR12vmzJmqdu3aqlixYio4OFg1aNBAzZ4926z8DuWNI/9dNMWATGdQSqk8jGwkIiIiIiIiG2M6NSIiIiIiIidhQEZEREREROQkDMiIiIiIiIichAEZERERERGRkzAgIyIiIiIichIGZERERERERE7CgIyIiIiIiMhJGJARERERERE5CQMyIiIiIiIiJ2FARkREZOGpp56CwWCAwWCAn58fwsLC0L59e3z11VcwGo3Obh4REXkQBmRERERWdOzYEefPn8epU6ewfv16tG7dGi+88AI6deqEO3fuOLt5RETkIRiQERERWeHv74/w8HBUqFABDz74IF5//XWsWrUK69evx9dffw0AmD59OurWrYugoCBUqlQJzz33HK5fvw4ASE1NRXBwML777juz465cuRJBQUFISUnB7du3MXLkSJQrVw4BAQGIiIjA5MmTHX2qRETkRAzIiIiI8qhNmzaoV68eli9fDgDw8fHBzJkzcejQIcyfPx9bt27FuHHjAABBQUF48sknMW/ePLNjzJs3Dz169EDx4sUxc+ZMrF69GkuXLsXRo0exaNEiVK5c2dGnRURETuTr7AYQERG5k5o1a2L//v0AgNGjR2dur1y5Mt59910MGzYMs2fPBgAMGTIEDz30EM6fP49y5crhwoULWLduHX788UcAwJkzZ1CtWjU8/PDDMBgMiIiIcPj5EBGRc7GHjIiIKB+UUjAYDACAH3/8EW3btkWFChVQvHhx9O/fH5cvX8aNGzcAAE2aNEHt2rUxf/58AMDChQsRERGBli1bApDkIX/++Sdq1KiBUaNGYdOmTc45KSIichoGZERERPkQHx+PKlWq4NSpU+jUqRMeeOABfP/994iNjcWsWbMAALdv387cf8iQIZlzzubNm4dBgwZlBnQPPvggTp48iXfeeQc3b95Er1690KNHD4efExEROQ8DMiIiojzaunUrDhw4gO7duyM2NhZGoxEfffQRmjVrhurVq+PcuXNZXtOvXz+cPn0aM2fOxOHDhzFw4ECz54ODg9G7d2988cUX+Pbbb/H999/jypUrjjolIiJyMs4hIyIisiItLQ0JCQnIyMhAYmIiNmzYgMmTJ6NTp04YMGAADh48iPT0dHzyySfo3Lkzdu7ciblz52Y5TokSJfDEE09g7Nix6NChAypWrJj53PTp01GuXDk0aNAAPj4+WLZsGcLDwxEaGurAMyUiImdiDxkREZEVGzZsQLly5VC5cmV07NgR27Ztw8yZM7Fq1SoUKVIE9erVw/Tp0zF16lTUqVMHixYtyjZl/dNPP43bt29j8ODBZtuLFy+OadOmoVGjRmjcuDFOnTqFdevWwceH/z0TEXkLg1JKObsRREREnmzBggV48cUXce7cORQtWtTZzSEiIhfCIYtERER2cuPGDZw/fx5TpkzBs88+y2CMiIiy4JgIIiIiO5k2bRpq1qyJ8PBwvPbaa85uDhERuSAOWSQiIiIiInIS9pARERERERE5CQMyIiIiIiIiJ2FARkRERERE5CQMyIiIiIiIiJyEARkREREREZGTMCAjIiIiIiJyEgZkRERERERETsKAjIiIiIiIyEn+Hw2iqydAiiXyAAAAAElFTkSuQmCC\n"
},
"metadata": {}
}
]
},
{
"cell_type": "code",
"source": [],
"metadata": {
"id": "VX_ccsI8H6sW"
},
"execution_count": null,
"outputs": []
}
]
}
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