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ashishsahu1/find_cad.ipynb

Created August 27, 2023 16:15
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find_cad.ipynb
{
"nbformat": 4,
"nbformat_minor": 0,
"metadata": {
"colab": {
"provenance": [],
"authorship_tag": "ABX9TyMXcH8khKRELLybZMa46wIG",
"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/ashishsahu1/2f7118cad1dd0c8be679070f635906ef/find_cad.ipynb\" target=\"_parent\"><img src=\"https://colab.research.google.com/assets/colab-badge.svg\" alt=\"Open In Colab\"/></a>"
]
},
{
"cell_type": "markdown",
"source": [
"# CLUSTERING IN CAD"
],
"metadata": {
"id": "6-e1rIK0AXPW"
}
},
{
"cell_type": "markdown",
"source": [
"Data Exploration and Visualization"
],
"metadata": {
"id": "0WMIHZnjxU2j"
}
},
{
"cell_type": "code",
"source": [
"import pandas as pd\n",
"import seaborn as sns\n",
"import matplotlib.pyplot as plt\n",
"\n",
"# Load the data\n",
"data = pd.read_csv('dataset.csv') # Replace 'extended_data.csv' with the actual file path\n",
"\n",
"# Display basic information about the dataset\n",
"print(data.info())\n",
"\n",
"# Display the first few rows of the dataset\n",
"print(data.head())\n",
"\n",
"# Summary statistics\n",
"print(data.describe())\n",
"\n",
"# Pairplot for feature visualization\n",
"sns.pairplot(data, hue='cad', diag_kind='kde')\n",
"plt.title('Pairplot')\n",
"plt.show()\n",
"\n",
"# Count of CAD classes\n",
"cad_counts = data['cad'].value_counts()\n",
"plt.bar(cad_counts.index, cad_counts.values)\n",
"plt.xlabel('CAD')\n",
"plt.ylabel('Count')\n",
"plt.title('Distribution of CAD Classes')\n",
"plt.show()\n",
"\n",
"# Histogram for each feature\n",
"data.drop(columns=['cad']).hist(figsize=(10, 8))\n",
"plt.suptitle('Histograms for Features')\n",
"plt.show()\n",
"\n"
],
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 1000
},
"id": "idDOMW4oDoh_",
"outputId": "e39559cd-8f05-4ef4-fd0d-eb8eeb9166c1"
},
"execution_count": null,
"outputs": [
{
"output_type": "stream",
"name": "stdout",
"text": [
"<class 'pandas.core.frame.DataFrame'>\n",
"RangeIndex: 29 entries, 0 to 28\n",
"Data columns (total 10 columns):\n",
" # Column Non-Null Count Dtype\n",
"--- ------ -------------- -----\n",
" 0 Hypertension 29 non-null int64\n",
" 1 Retinopathy 29 non-null int64\n",
" 2 Gender 29 non-null int64\n",
" 3 Sedentary computed axial tomography 29 non-null int64\n",
" 4 insulin 29 non-null int64\n",
" 5 BMI computed axial tomography 29 non-null int64\n",
" 6 ckd axial tomography 29 non-null int64\n",
" 7 stroke 29 non-null int64\n",
" 8 acute gastroenteristis 29 non-null int64\n",
" 9 cad 29 non-null int64\n",
"dtypes: int64(10)\n",
"memory usage: 2.4 KB\n",
"None\n",
" Hypertension Retinopathy Gender Sedentary computed axial tomography \\\n",
"0 1 0 1 0 \n",
"1 1 1 1 0 \n",
"2 0 0 1 0 \n",
"3 0 0 1 0 \n",
"4 0 1 0 0 \n",
"\n",
" insulin BMI computed axial tomography ckd axial tomography stroke \\\n",
"0 0 0 0 0 \n",
"1 1 0 0 0 \n",
"2 1 0 0 0 \n",
"3 1 0 0 0 \n",
"4 1 1 0 0 \n",
"\n",
" acute gastroenteristis cad \n",
"0 0 0 \n",
"1 1 0 \n",
"2 1 1 \n",
"3 0 0 \n",
"4 0 0 \n",
" Hypertension Retinopathy Gender \\\n",
"count 29.000000 29.000000 29.000000 \n",
"mean 0.689655 0.310345 0.482759 \n",
"std 0.470824 0.470824 0.508548 \n",
"min 0.000000 0.000000 0.000000 \n",
"25% 0.000000 0.000000 0.000000 \n",
"50% 1.000000 0.000000 0.000000 \n",
"75% 1.000000 1.000000 1.000000 \n",
"max 1.000000 1.000000 1.000000 \n",
"\n",
" Sedentary computed axial tomography insulin \\\n",
"count 29.000000 29.000000 \n",
"mean 0.241379 0.655172 \n",
"std 0.435494 0.483725 \n",
"min 0.000000 0.000000 \n",
"25% 0.000000 0.000000 \n",
"50% 0.000000 1.000000 \n",
"75% 0.000000 1.000000 \n",
"max 1.000000 1.000000 \n",
"\n",
" BMI computed axial tomography ckd axial tomography stroke \\\n",
"count 29.000000 29.000000 29.000000 \n",
"mean 0.620690 0.241379 0.068966 \n",
"std 0.493804 0.435494 0.257881 \n",
"min 0.000000 0.000000 0.000000 \n",
"25% 0.000000 0.000000 0.000000 \n",
"50% 1.000000 0.000000 0.000000 \n",
"75% 1.000000 0.000000 0.000000 \n",
"max 1.000000 1.000000 1.000000 \n",
"\n",
" acute gastroenteristis cad \n",
"count 29.000000 29.000000 \n",
"mean 0.413793 0.379310 \n",
"std 0.501230 0.493804 \n",
"min 0.000000 0.000000 \n",
"25% 0.000000 0.000000 \n",
"50% 0.000000 0.000000 \n",
"75% 1.000000 1.000000 \n",
"max 1.000000 1.000000 \n"
]
},
{
"output_type": "display_data",
"data": {
"text/plain": [
"<Figure size 2308.88x2250 with 90 Axes>"
],
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\n"
},
"metadata": {}
},
{
"output_type": "display_data",
"data": {
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
],
"image/png": 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\n"
},
"metadata": {}
},
{
"output_type": "display_data",
"data": {
"text/plain": [
"<Figure size 1000x800 with 9 Axes>"
],
"image/png": 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eeALr16/H888/b+lwiIiICLymjYioxrp//75e27Jly2BjY4OwsDALRERERESG8Jo2IqIaavHixThx4gS6deuGWrVqYdeuXdi1axfGjx8Pf39/S4dHRERE/x9PjyQiqqHS0tKQmJiIc+fOITc3Fw0aNMCIESPw5ptvolYtfqZHREQkFyzaiIiIiIiIZIzXtBEREREREckYizYiIiIiIiIZY9FGREREREQkYyzaiIiIiIiIZIxFGxERERERkYyxaCMiIiIiIpIxFm1EREREREQyxqKNiIiIiIhIxli0ERERERERyRiLNiIiIiIiIhlj0UZERERERCRjLNqIiIiIiIhkjEUbERERERGRjLFoIyIiIiIikjEWbURERERERDLGoo2IiIiIiEjGWLQRERERERHJGIs2IiIiIiIiGWPRRkREREREJGMs2oiIiIiIiGSMRRsREREREZGMsWgjIiIiIiKSMRZtREREREREMsaijYiIiIiISMZYtBEREREREckYizYiIiIiIiIZY9FGREREREQkYyzaiIiIiIiIZIxFGxERERERkYyxaCMiIiIiIpIxFm1EREREREQyxqKNiIiIiIhIxli0ERERERERyRiLNiIiIiIiIhlj0UZERERERCRjLNqIiIiIiIhkjEUbERERERGRjLFoIyIiIiIikjEWbURERERERDLGoo2oHFJSUqBQKHDlyhVLh0JUo0VERCAiIsLSYZhMQkICFAoFbt++belQiMjCGjZsiPj4eEuHQTLDoq0a0xYYx48fN/h4REQEWrdubeaoyufQoUNISEhAVlaWpUMhojJoc472VqtWLdSrVw/x8fH4559/yr28c+fOISEhoVp9SPLOO+9g27Ztlg6DiP6/9PR0TJo0CU2bNoWjoyMcHR3RsmVLTJw4EadPn7Z0eESSWpYOgKg0hw4dQmJiIuLj4+Hm5mbpcDBixAgMHToUKpXK0qEQyda8efMQGBiIBw8e4MiRI0hJScEPP/yAM2fOwN7e3ujlnDt3DomJiYiIiEDDhg11HktNTTVx1ObxzjvvYNCgQejXr5+lQyGq8Xbs2IEhQ4agVq1aeP7559GuXTvY2Njg/Pnz2Lp1K1atWoX09HQEBARYOlQiFm0kT3l5eXBycrJ0GHpsbW1ha2tr6TCIZC02NhYdO3YEAIwdOxZ169bFokWL8O2332Lw4MEmWYednZ1JlkNENdPly5cxdOhQBAQEYN++ffD19dV5fNGiRVi5ciVsbKz7pLRHjx5Bo9EwZ1YD1v1KJJMJDw9Hu3btDD7WrFkzREdHAwCuXLkChUKBd999F0uXLkVAQAAcHBwQHh6OM2fO6D33/PnzGDRoEDw8PGBvb4+OHTvi22+/1emjPaXq+++/x8svvwwvLy/Ur18fCQkJmD59OgAgMDBQOuWq6KlS69evR4cOHeDg4AAPDw8MHToUf//9t87ytaeBnjt3Dt26dYOjoyPq1auHxYsX68W7fPlytGrVCo6OjnB3d0fHjh3x5Zdf6sVa/HStlStXolWrVlCpVPDz88PEiRP1TuksTxxE1UnXrl0BPD5I0iorN6SkpOC5554DAHTr1k16/x84cACA/jVtBw4cgEKhwNdff423334b9evXh729PXr06IFLly7pxbRp0yYpd9StWxcvvPCC3imc8fHxqF27Nv744w9ER0fDyckJfn5+mDdvHoQQOn3fffdddOnSBXXq1IGDgwM6dOiAzZs36/RRKBTIy8vDunXrpPEUv24lKytLOrPA1dUVo0aNQn5+vvS4sbmaiEq3ePFi5OXlYe3atXoFGwDUqlULkydPhr+/v9RWnmOaH3/8EVOnToWnpyecnJzQv39/3Lp1S6evEAILFixA/fr14ejoiG7duuHs2bMG483KysKUKVPg7+8PlUqFxo0bY9GiRdBoNFKfosdoy5YtQ1BQEFQqFc6dO1eZTUUywW/aaoB79+4ZvLi9oKBA+v+IESMwbtw4nDlzRuc6t59++gm///473nrrLZ3nfvbZZ8jJycHEiRPx4MEDfPDBB+jevTt+/fVXeHt7AwDOnj2Lp59+GvXq1cPMmTPh5OSEr7/+Gv369cOWLVvQv39/nWW+/PLL8PT0xJw5c5CXl4fY2Fj8/vvv2LBhA5YuXYq6desCADw9PQEAb7/9NmbPno3Bgwdj7NixuHXrFpYvX46wsDD88ssvOqdT3r17FzExMRgwYAAGDx6MzZs34/XXX0ebNm0QGxsLAPj4448xefJkDBo0CK+++ioePHiA06dP4+jRoxg+fHiJ2zchIQGJiYmIjIzESy+9hAsXLmDVqlX46aef8OOPP0KpVJYrDqLqRvshh7u7OwDjckNYWBgmT56MDz/8EG+88QZatGgBANK/JVm4cCFsbGwwbdo03Lt3D4sXL8bzzz+Po0ePSn1SUlIwatQodOrUCUlJScjIyMAHH3yAH3/8US93FBYWIiYmBk899RQWL16M3bt3Y+7cuXj06BHmzZsn9fvggw/Qp08fPP/883j48CE2btyI5557Djt27ECvXr0AAJ9//jnGjh2L4OBgjB8/HgAQFBSkE//gwYMRGBiIpKQk/Pzzz/j3v/8NLy8vLFq0CED5czURGbZjxw40btwYISEhRvUv7zHNK6+8And3d8ydOxdXrlzBsmXLMGnSJHz11VdSnzlz5mDBggV45pln8Mwzz+Dnn39GVFQUHj58qLOs/Px8hIeH459//sGECRPQoEEDHDp0CLNmzcL169exbNkynf5r167FgwcPMH78eKhUKnh4eFRsI5G8CKq21q5dKwCUemvVqpUQQoisrCxhb28vXn/9dZ1lTJ48WTg5OYnc3FwhhBDp6ekCgHBwcBBXr16V+h09elQAEK+99prU1qNHD9GmTRvx4MEDqU2j0YguXbqIJk2a6MUZGhoqHj16pLP+JUuWCAAiPT1dp/3KlSvC1tZWvP322zrtv/76q6hVq5ZOe3h4uAAgPvvsM6lNrVYLHx8fMXDgQKmtb9++0vYoa5tq47l586aws7MTUVFRorCwUOq3YsUKAUB8+umn5Y6DyFpp3x979+4Vt27dEn///bfYvHmz8PT0FCqVSvz9999CCONzw6ZNmwQAsX//fr11hYeHi/DwcOn+/v37BQDRokULoVarpfYPPvhAABC//vqrEEKIhw8fCi8vL9G6dWtx//59qd+OHTsEADFnzhypLS4uTgAQr7zyik6cvXr1EnZ2duLWrVtSe35+vk58Dx8+FK1btxbdu3fXaXdychJxcXF645k7d64AIEaPHq3T3r9/f1GnTh3pvrG5mohKdu/ePQFA9OvXT++xu3fvilu3bkk37Xu7vMc0kZGRQqPRSO2vvfaasLW1FVlZWUKI/x0/9OrVS6ffG2+8IQDo5In58+cLJycn8fvvv+vEOnPmTGFrayv++usvIcT/jtFcXFzEzZs3K7GFSI54emQNkJycjLS0NL1b27ZtpT6urq7o27cvNmzYIJ32U1hYiK+++gr9+vXTu76sX79+qFevnnQ/ODgYISEh2LlzJwDgzp07+M9//oPBgwcjJycHt2/fxu3bt5GZmYno6GhcvHhR71SkcePGGX292NatW6HRaDB48GBp2bdv34aPjw+aNGmC/fv36/SvXbs2XnjhBem+nZ0dgoOD8ccff0htbm5uuHr1Kn766SejYgCAvXv34uHDh5gyZYrOee/jxo2Di4sLvvvuu3LHQWTtIiMj4enpCX9/fwwaNAhOTk749ttvUb9+/QrlhvIYNWqUzrUb2lMzte+x48eP4+bNm3j55Zd1JkXp1asXmjdvrveeBYBJkyZJ/1coFJg0aRIePnyIvXv3Su0ODg7S/+/evYt79+6ha9eu+Pnnn8sV/4svvqhzv2vXrsjMzER2djaA8udqItKnfT/Vrl1b77GIiAh4enpKt+Tk5ArlrfHjx0OhUEj3u3btisLCQvz5558A/nf88Morr+j0mzJlil5MmzZtQteuXeHu7q5zzBMZGYnCwkIcPHhQp//AgQOls5Ko+uDpkTVAcHCwNClAUdo3v9bIkSPx1Vdf4b///S/CwsKwd+9eZGRkYMSIEXrPbdKkiV5b06ZN8fXXXwMALl26BCEEZs+ejdmzZxuM6+bNmzqFX2BgoNFjunjxIoQQBuMAoHNKIgDUr19fJykCj8dfdDrf119/HXv37kVwcDAaN26MqKgoDB8+HE8//XSJcWiTb7NmzXTa7ezs0KhRI+nx8sRBZO2Sk5PRtGlT3Lt3D59++ikOHjwozbhakdxQHg0aNNC5rz0l8+7duwBKfs8CQPPmzfHDDz/otNnY2KBRo0Y6bU2bNgUAnWtbd+zYgQULFuDkyZNQq9VSe/H3e2Xid3FxAVC+XE1E+pydnQEAubm5eo+tWbMGOTk5yMjIkD5krUjeMjYXFT+O8fT0lPpqXbx4EadPny6xELt586bO/fIcT5H1YNFGkujoaHh7e2P9+vUICwvD+vXr4ePjg8jIyHIvS3th7LRp00q8ML5x48Y694t+Um3M8hUKBXbt2mXw27nin56V9A2eKDKZQIsWLXDhwgXs2LEDu3fvxpYtW7By5UrMmTMHiYmJRsdWGmPiILJ2RT8o6tevH0JDQzF8+HBcuHChQrmhPCzxHvvvf/+LPn36ICwsDCtXroSvry+USiXWrl2rM5GRMYyJ35S5mqgmcnV1ha+vr8EJ1LTXuBX9UKYiecuUuUij0aBnz56YMWOGwce1HyRpled4iqwHizaS2NraYvjw4UhJScGiRYuwbdu2Ek9ZvHjxol7b77//Lv2WkvaTaaVSWakDiZI+pQ4KCoIQAoGBgXrJqjKcnJwwZMgQDBkyBA8fPsSAAQPw9ttvY9asWQZ/X0r72y0XLlzQ+TT+4cOHSE9P50EU1Xi2trZISkpCt27dsGLFCowePRqAcbmhvN9SGaPoe7Z79+46j124cEHv95g0Gg3++OMPnTzz+++/A4CU77Zs2QJ7e3vs2bNH5zcc165dq7d+U4ypPLmaiAzr1asX/v3vf+PYsWMIDg4uta+pjmmK0uaaixcv6hw/3Lp1S/o2TisoKAi5ubk8pqjheE0b6RgxYgTu3r2LCRMmIDc3V+f6q6K2bdumc/72sWPHcPToUWkGRC8vL0RERGDNmjW4fv263vOLT3tbEu31GcWnzx8wYABsbW2RmJio96mVEAKZmZlGLb+o4s+xs7NDy5YtIYTQmWmzqMjISNjZ2eHDDz/UieOTTz7BvXv3pFnjiGqyiIgIBAcHY9myZXBxcTE6N5T0/q+Mjh07wsvLC6tXr9Y5jXHXrl347bffDL5nV6xYIf1fCIEVK1ZAqVSiR48eAB4XUQqFAoWFhVK/K1euYNu2bXrLcnJyMsl4jM3VRGTYjBkz4OjoiNGjRyMjI0Pv8aJ/0011TFNUZGQklEolli9frrOu4jNBAo9nlT18+DD27Nmj91hWVhYePXpU7vWT9eE3baTjiSeeQOvWrbFp0ya0aNECTz75pMF+jRs3RmhoKF566SWo1WosW7YMderU0fnqPjk5GaGhoWjTpg3GjRuHRo0aISMjA4cPH8bVq1dx6tSpMuPp0KEDAODNN9/E0KFDoVQq0bt3bwQFBWHBggWYNWsWrly5gn79+sHZ2Rnp6en45ptvMH78eEybNq1cY4+KioKPjw+efvppeHt747fffsOKFSvQq1cv6fz34jw9PTFr1iwkJiYiJiYGffr0wYULF7By5Up06tSJB1JE/9/06dPx3HPPISUlxejc0L59e9ja2mLRokW4d+8eVCoVunfvDi8vrwrHoVQqsWjRIowaNQrh4eEYNmyYNOV/w4YN8dprr+n0t7e3x+7duxEXF4eQkBDs2rUL3333Hd544w3p+pJevXrh/fffR0xMDIYPH46bN28iOTkZjRs31rtetUOHDti7dy/ef/99+Pn5ITAw0Ogpx4syNlcTkWFNmjTBl19+iWHDhqFZs2Z4/vnn0a5dOwghkJ6eji+//BI2NjaoX78+ANMc0xTl6emJadOmISkpCc8++yyeeeYZ/PLLL9i1a5f0E0da06dPx7fffotnn30W8fHx6NChA/Ly8vDrr79i8+bNuHLlit5zqBoy72SVZE7aaWd/+ukng4+Hh4cbnOJ+8eLFAoB455139B7TTie7ZMkS8d577wl/f3+hUqlE165dxalTp/T6X758WYwcOVL4+PgIpVIp6tWrJ5599lmxefNmo+OcP3++qFevnrCxsdGb/n/Lli0iNDRUODk5CScnJ9G8eXMxceJEceHChTLHGRcXJwICAqT7a9asEWFhYaJOnTpCpVKJoKAgMX36dHHv3j29WIv/BMGKFStE8+bNhVKpFN7e3uKll14Sd+/e1eljbBxE1qq093JhYaEICgoSQUFB4tGjR0blBiGE+Pjjj0WjRo2Era2tzvT/JU35v2nTJp3na3PW2rVrddq/+uor8cQTTwiVSiU8PDzE888/r/MzJkI8fm86OTmJy5cvi6ioKOHo6Ci8vb3F3LlzdX7iQwghPvnkE9GkSROhUqlE8+bNxdq1a6Vp/Is6f/68CAsLEw4ODjrTemv7Fv0ZgaLbtHjOEaL0XE1Exrl06ZJ46aWXROPGjYW9vb1wcHAQzZs3Fy+++KI4efKkTt/KHNNoc1TRnzApLCwUiYmJwtfXVzg4OIiIiAhx5swZERAQoPfTIDk5OWLWrFmicePGws7OTtStW1d06dJFvPvuu+Lhw4dCCN1jNKp+FEJwBgTS9cEHH+C1117DlStX9GY/unLlCgIDA7FkyZJyf5NFRGRN4uPjsXnzZoMzzMlBabmaiIiqF17TRjqEEPjkk08QHh7OgwAiIpliriYiqll4TRsBAPLy8vDtt99i//79+PXXX7F9+3ZLh0RERMUwVxMR1Uws2gjA45mPhg8fDjc3N7zxxhvo06ePpUMiIqJimKuJiGomXtNGREREREQkY7ymjYiIiIiISMZq/OmRGo0G165dg7OzMxQKhaXDIao2hBDIycmBn58fbGxq5udDzC9EVYP5hfmFqKrINb/U+KLt2rVr8Pf3t3QYRNXW33//Lf04aU3D/EJUtZhfmF+Iqorc8kuNL9qcnZ0BPN4xLi4uJfYrKChAamoqoqKioFQqzRWeSXEM8lBTxpCdnQ1/f3/pPVYTMb9YF45BHphfjMP8Yl2sfQzWHj9g/Bjkml9qfNGmPaXAxcWlzKTn6OgIFxcXq36xcgyWV9PGUJNP22F+sS4cgzwwvxiH+cW6WPsYrD1+oPxjkFt+kc+JmkRERERERKSHRRsREREREZGMybpoS0pKQqdOneDs7AwvLy/069cPFy5c0Onz4MEDTJw4EXXq1EHt2rUxcOBAZGRkWChiIrIWzC9EVFUOHjyI3r17w8/PDwqFAtu2bdN5PD4+HgqFQucWExNjmWCJyCrIumj7/vvvMXHiRBw5cgRpaWkoKChAVFQU8vLypD6vvfYa/u///g+bNm3C999/j2vXrmHAgAEWjJqIrAHzCxFVlby8PLRr1w7Jyckl9omJicH169el24YNG8wYIRFZG1lPRLJ7926d+ykpKfDy8sKJEycQFhaGe/fu4ZNPPsGXX36J7t27AwDWrl2LFi1a4MiRI3jqqaf0lqlWq6FWq6X72dnZAB5fnFhQUFBiLNrHSusjdxyDPNSUMch9fMwvpsUxyENNGYPcxxcbG4vY2NhS+6hUKvj4+Bi9TOYXjsGSrD1+wPgxyHWMsi7airt37x4AwMPDAwBw4sQJFBQUIDIyUurTvHlzNGjQAIcPHzZ4UJWUlITExES99tTUVDg6OpYZQ1paWkXDlw2OQR6q+xjy8/PNGEnlMb+YBscgD9V9DNaWXww5cOAAvLy84O7uju7du2PBggWoU6dOif2ZXzgGObD2+IGyxyDX/KIQQghLB2EMjUaDPn36ICsrCz/88AMA4Msvv8SoUaN0PnkCgODgYHTr1g2LFi3SW46hT6r8/f1x+/btMqfMTUtLQ8+ePa16qlOOwfIsNYbWCXtMtiyVjcD8jppSx5CdnY26devi3r17pb635EAu+WX2cRuoNZWfYvhMQnSll1FefG/KQ00ZgzXlF4VCgW+++Qb9+vWT2jZu3AhHR0cEBgbi8uXLeOONN1C7dm0cPnwYtra2BpfD/FL9X9dyZu3xA8aPQa75xWq+aZs4cSLOnDkjHVBVlEqlgkql0mtXKpVGvQiN7SdnHIM8mHsM6kLT/95IaWOwpv0jl/yi1ihMsp8sue353pSH6j4Gax/b0KFDpf+3adMGbdu2RVBQEA4cOIAePXoYfA7zS/V/XVsDa48fKHsMch2frCci0Zo0aRJ27NiB/fv3o379+lK7j48PHj58iKysLJ3+GRkZ5TpPnIhqLuYXIrK0Ro0aoW7durh06ZKlQyEimZJ10SaEwKRJk/DNN9/gP//5DwIDA3Ue79ChA5RKJfbt2ye1XbhwAX/99Rc6d+5s7nCJyIowvxCRXFy9ehWZmZnw9fW1dChEJFOyPj1y4sSJ+PLLL7F9+3Y4Ozvjxo0bAABXV1c4ODjA1dUVY8aMwdSpU+Hh4QEXFxe88sor6Ny5s8FJAoiItJhfiKiq5Obm6nxrlp6ejpMnT8LDwwMeHh5ITEzEwIED4ePjg8uXL2PGjBlo3LgxoqPNf70YEVkHWRdtq1atAgBERETotK9duxbx8fEAgKVLl8LGxgYDBw6EWq1GdHQ0Vq5caeZIicjaML8QUVU5fvw4unXrJt2fOnUqACAuLg6rVq3C6dOnsW7dOmRlZcHPzw9RUVGYP3++wWvWiIgAmRdtxkxsaW9vj+Tk5FJ/wJKIqDjmFyKqKhEREaXmmD17TDebLxHVDLK+po2IiIiIiKimY9FGREREREQkYyzaiIiIiIiIZEzW17QREREREVHN1XDmdyZZjspWYHGwSRZlEfymjYiIiIiISMZYtBEREREREckYizYiIiIiIiIZY9FGREREREQkYyzaiIiIiIiIZIxFGxERERERkYyxaCMiIiIiIpIxFm1EREREREQyxqKNiIiIiIhIxli0ERERERERyRiLNiIiIiIiIhlj0UZERERERCRjLNqIiIiIiIhkjEUbERERERGRjLFoIyIiIiIikjEWbURERERERDLGoo2IiIiIiEjGWLQRERERERHJGIs2IiIiIiIiGWPRRkREREREJGMs2oiIiIiIiGSMRRsREREREZGMsWgjIiIiIiKSMRZtREREREREMsaijYiIiIiISMZkXbQdPHgQvXv3hp+fHxQKBbZt26bzeHx8PBQKhc4tJibGMsESkVVhfiEiIiJrIeuiLS8vD+3atUNycnKJfWJiYnD9+nXptmHDBjNGSETWivmFiIiIrEUtSwdQmtjYWMTGxpbaR6VSwcfHx0wREVF1wfxCRERE1kLWRZsxDhw4AC8vL7i7u6N79+5YsGAB6tSpU2J/tVoNtVot3c/OzgYAFBQUoKCgoMTnaR8rrY/ccQzyYKkxqGyF6ZZl83hZxrxnrJm584t2u1aWJbY935vyUFPGYM3jIyKqCKsu2mJiYjBgwAAEBgbi8uXLeOONNxAbG4vDhw/D1tbW4HOSkpKQmJio156amgpHR8cy15mWllbpuC2NY5AHc49hcbDpl1naGPLz802/QjOyRH6Z31FT6bgBYOfOnSZZTkXwvSkP1X0M1p5fiIjKy6qLtqFDh0r/b9OmDdq2bYugoCAcOHAAPXr0MPicWbNmYerUqdL97Oxs+Pv7IyoqCi4uLiWuq6CgAGlpaejZsyeUSqXpBmFGHIM8WGoMrRP2mGxZKhuB+R01pY5B+y2TtbJEfpl93AZqjaLSsZ9JiK70MsqL7015qCljsPb8QkRUXlZdtBXXqFEj1K1bF5cuXSrxoEqlUkGlUum1K5VKo/7AGdtPzjgGeTD3GNSFlS8GiittDNa+f4ozR35RaxQm2U+W3PZ8b8pDdR+DtY+NiKi8ZD17ZHldvXoVmZmZ8PX1tXQoRFTNML8QERGRpcj6m7bc3FxcunRJup+eno6TJ0/Cw8MDHh4eSExMxMCBA+Hj44PLly9jxowZaNy4MaKjzX9qEBFZF+YXIiIishayLtqOHz+Obt26Sfe114rExcVh1apVOH36NNatW4esrCz4+fkhKioK8+fPN3h6EhFRUcwvREREZC1kXbRFRERAiJKnwN6zx3QTKxBRzcL8QkRERNaiWl3TRkREREREVN2waCMiIiIiIpIxFm1EREREREQyxqKNiIiIyIQOHjyI3r17w8/PDwqFAtu2bdN5XAiBOXPmwNfXFw4ODoiMjMTFixctEywRWQUWbUREREQmlJeXh3bt2iE5Odng44sXL8aHH36I1atX4+jRo3ByckJ0dDQePHhg5kiJyFrIevZIIiIiImsTGxuL2NhYg48JIbBs2TK89dZb6Nu3LwDgs88+g7e3N7Zt24ahQ4eaM1QishIs2oiIiIjMJD09HTdu3EBkZKTU5urqipCQEBw+fLjEok2tVkOtVkv3s7OzAQAFBQUoKCgocX3ax1Q2Jf/ESXmUtq6qol2nJdZtKtY+BkvGr7I1zWtX+x4oawxy3Ucs2oiIiIjM5MaNGwAAb29vnXZvb2/pMUOSkpKQmJio156amgpHR8cy1zu/o6ackRq2c+dOkyynItLS0iy2blOx9jFYIv7FwaZdXlljyM/PN+0KTYRFGxEREZHMzZo1C1OnTpXuZ2dnw9/fH1FRUXBxcSnxeQUFBUhLS8Ps4zZQaxSVjuNMQnSll1Fe2jH07NkTSqXS7Os3BWsfgyXjb52wxyTLUdkIzO+oKXMM2m+x5YZFGxEREZGZ+Pj4AAAyMjLg6+srtWdkZKB9+/YlPk+lUkGlUum1K5VKow6i1RoF1IWVL9osWXAYO1Y5s/YxWCJ+U7xuiyprDHLdP5w9koiIiMhMAgMD4ePjg3379klt2dnZOHr0KDp37mzByIhIzvhNGxEREZEJ5ebm4tKlS9L99PR0nDx5Eh4eHmjQoAGmTJmCBQsWoEmTJggMDMTs2bPh5+eHfv36WS5oIpI1Fm1EREREJnT8+HF069ZNuq+9Fi0uLg4pKSmYMWMG8vLyMH78eGRlZSE0NBS7d++Gvb29pUImIplj0UZERERkQhERERCi5GnKFQoF5s2bh3nz5pkxKiKyZrymjYiIiIiISMZYtBEREREREckYizYiIiIiIiIZY9FGREREREQkYyzaiIiIiIiIZIxFGxERERERkYyxaCMiIiIiIpIxFm1EREREREQyxqKNiIiIiIhIxli0ERERERERyRiLNiIiIiIiIhlj0UZERERERCRjLNqIiIiIiIhkjEUbERERERGRjLFoIyIiIiIikjEWbURERERERDIm66Lt4MGD6N27N/z8/KBQKLBt2zadx4UQmDNnDnx9feHg4IDIyEhcvHjRMsESkVVhfiEiIiJrIeuiLS8vD+3atUNycrLBxxcvXowPP/wQq1evxtGjR+Hk5ITo6Gg8ePDAzJESkbVhfiEiIiJrUcvSAZQmNjYWsbGxBh8TQmDZsmV466230LdvXwDAZ599Bm9vb2zbtg1Dhw41Z6hEZGWYX4iIiMhayLpoK016ejpu3LiByMhIqc3V1RUhISE4fPhwiQdVarUaarVaup+dnQ0AKCgoQEFBQYnr0z5WWh+54xjkwVJjUNkK0y3L5vGyjHnPWCNL5Rftdq0sS2x7vjfloaaMwZrHR0RUEVZbtN24cQMA4O3trdPu7e0tPWZIUlISEhMT9dpTU1Ph6OhY5nrT0tLKGan8cAzyYO4xLA42/TJLG0N+fr7pV2gmlsov8ztqyhmpYTt37jTJciqC7015qO5jsOb8QkRUEVZbtFXUrFmzMHXqVOl+dnY2/P39ERUVBRcXlxKfV1BQgLS0NPTs2RNKpdIcoZocxyAPlhpD64Q9JluWykZgfkdNqWPQfstUk1Q2v8w+bgO1RlHpOM4kRFd6GeXF96Y81JQx1MT8QkQ1m9UWbT4+PgCAjIwM+Pr6Su0ZGRlo3759ic9TqVRQqVR67Uql0qg/cMb2kzOOQR7MPQZ1YeWLgeJKG4M17x9L5Re1RmGS/WTJbc/3pjxU9zFY+9iIiMpL1rNHliYwMBA+Pj7Yt2+f1JadnY2jR4+ic+fOFoyMiKwd8wsRERHJiay/acvNzcWlS5ek++np6Th58iQ8PDzQoEEDTJkyBQsWLECTJk0QGBiI2bNnw8/PD/369bNc0ERkFZhfiIiIyFrIumg7fvw4unXrJt3XXisSFxeHlJQUzJgxA3l5eRg/fjyysrIQGhqK3bt3w97e3lIhE5GVYH4hIiIiayHroi0iIgJClDwFtkKhwLx58zBv3jwzRkVE1QHzCxEREVkLq72mjYiIiIiIqCaQ9TdtctQ6YY/JZuG7srCXSZZDRERkSQ1nfmeyZalsRZX8riQRkTXjN21EREREREQyxqKNiIiIiIhIxli0ERERERERyRiLNiIiIiIiIhlj0UZERERERCRjLNqIiIiIiIhkjEUbERERERGRjLFoIyIiIiIikjEWbURERERERDLGoo2IiIiIiEjGWLQRERERERHJGIs2IiIiIiIiGWPRRkREREREJGMs2oiIiIiIiGSMRRsRERGRGSUkJEChUOjcmjdvbumwiEjGalk6ACIiIqKaplWrVti7d690v1YtHpIRUcmYIYiIiIjMrFatWvDx8bF0GERkJVi0EREREZnZxYsX4efnB3t7e3Tu3BlJSUlo0KBBif3VajXUarV0Pzs7GwBQUFCAgoKCEp+nfUxlI0wSd2nrqiradVpi3aZi7WOwZPwqW9O8drXvgbLGINd9xKKNiIiIyIxCQkKQkpKCZs2a4fr160hMTETXrl1x5swZODs7G3xOUlISEhMT9dpTU1Ph6OhY5jrnd9RUOm4A2Llzp0mWUxFpaWkWW7epWPsYLBH/4mDTLq+sMeTn55t2hSbCoo2IiIjIjGJjY6X/t23bFiEhIQgICMDXX3+NMWPGGHzOrFmzMHXqVOl+dnY2/P39ERUVBRcXlxLXVVBQgLS0NMw+bgO1RlHp2M8kRFd6GeWlHUPPnj2hVCrNvn5TsPYxWDL+1gl7TLIclY3A/I6aMseg/RZbbli0EREREVmQm5sbmjZtikuXLpXYR6VSQaVS6bUrlUqjDqLVGgXUhZUv2ixZcBg7Vjmz9jFYIn5TvG6LKmsMct0/nPKfiIiIyIJyc3Nx+fJl+Pr6WjoUIpIpFm1EREREZjRt2jR8//33uHLlCg4dOoT+/fvD1tYWw4YNs3RoRCRTPD2SiIiIyIyuXr2KYcOGITMzE56enggNDcWRI0fg6elp6dCISKZYtBERERGZ0caNGy0dAhFZGZ4eSUREREREJGMs2oiIiIiIiGSMRRsREREREZGMWX3RlpCQAIVCoXNr3ry5pcMiomqA+YWIiIjkoFpMRNKqVSvs3btXul+rVrUYFhHJAPMLERERWVq1OPqoVasWfHx8LB0GEVVDzC9ERERkadWiaLt48SL8/Pxgb2+Pzp07IykpCQ0aNDDYV61WQ61WS/ezs7MBAAUFBSgoKChxHdrHVDbCZHGXtr6qoF2fuddrShxDxalsTffa1b4PjHnPWDtrzC+W2PZ8b8oD8wsRUfVk9UVbSEgIUlJS0KxZM1y/fh2JiYno2rUrzpw5A2dnZ73+SUlJSExM1GtPTU2Fo6Njmeub31FjkrgBYOfOnSZbVnmkpaVZZL2mxDGU3+Jg0y+ztDHk5+ebfoVmZq35xVK5BeB7Uy6YX4iIqherL9piY2Ol/7dt2xYhISEICAjA119/jTFjxuj1nzVrFqZOnSrdz87Ohr+/P6KiouDi4lLiegoKCpCWlobZx22g1ihMEvuZhGiTLMdY2jH07NkTSqXSrOs2FY6h4lon7DHZslQ2AvM7akodg/ZbJmtmrfnF3LkF4HtTLphfiIiqJ6sv2opzc3ND06ZNcenSJYOPq1QqqFQqvXalUmnUHzi1RgF1oWmKNksdFBg7VjnjGMrPVK/bokobg7XvH0OsJb9YctvzvSkPzC9ERNWL1U/5X1xubi4uX74MX19fS4dCRNUM8wsRERFZgtUXbdOmTcP333+PK1eu4NChQ+jfvz9sbW0xbNgwS4dGRFaO+YWIiIjkwOpPj7x69SqGDRuGzMxMeHp6IjQ0FEeOHIGnp6elQyMiK8f8QkRERHJg9UXbxo0bLR0CEVVTzC9EREQkB1Z/eiQREREREVF1xqKNiIiIiIhIxli0ERERERERyRiLNiIiIiIiIhlj0UZERERERCRjLNqIiIiIiIhkjEUbERERERGRjLFoIyIiIiIikjEWbURERERERDLGoo2IiIiIiEjGWLQRERERERHJGIs2IiIiIiIiGWPRRkREREREJGMs2oiIiIiIiGSMRRsREREREZGMsWgjIiIiIiKSMRZtREREREREMsaijYiIiIiISMZYtBEREREREckYizYiIiIiIiIZY9FGREREREQkYyzaiIiIiIiIZIxFGxERERERkYyxaCMiIiIiIpIxFm1EREREREQyxqKNiIiIiIhIxli0ERERERERyRiLNiIiIiIiIhlj0UZERERERCRjLNqIiIiIiIhkrNoUbcnJyWjYsCHs7e0REhKCY8eOWTokIqoGmFuIqKowvxCRsapF0fbVV19h6tSpmDt3Ln7++We0a9cO0dHRuHnzpqVDIyIrxtxCRFWF+YWIyqOWpQMwhffffx/jxo3DqFGjAACrV6/Gd999h08//RQzZ87U6atWq6FWq6X79+7dAwDcuXMHBQUFJa6joKAA+fn5qFVgg0KNwiRxZ2ZmmmQ5xtKOITMzE0ql0qzrNhWOoeJqPcoz3bI0Avn5mlLHkJOTAwAQQphsveZWntwCyCe/mDu3AHxvygXzi/VgfjEe35uWZ8n4TZVfjMktgIzzi7ByarVa2Nraim+++UanfeTIkaJPnz56/efOnSsA8MYbb2a6/f3332bKBqZV3twiBPMLb7yZ+8b8whtvvFXVTW75xeq/abt9+zYKCwvh7e2t0+7t7Y3z58/r9Z81axamTp0q3ddoNLhz5w7q1KkDhaLkT6Cys7Ph7++Pv//+Gy4uLqYbgBlxDPJQU8YghEBOTg78/PzMHJ1plDe3AMwvHIPl1ZQxML8wv1gbax+DtccPGD8GueYXqy/aykulUkGlUum0ubm5Gf18FxcXq32xanEM8lATxuDq6mrGaCyP+YVjkIuaMAbmF+YXa2TtY7D2+AHjxiDH/GL1E5HUrVsXtra2yMjI0GnPyMiAj4+PhaIiImvH3EJEVYX5hYjKy+qLNjs7O3To0AH79u2T2jQaDfbt24fOnTtbMDIismbMLURUVZhfiKi8qsXpkVOnTkVcXBw6duyI4OBgLFu2DHl5edKMTKagUqkwd+5cvVMTrAnHIA8cg/UwR24Bqsf25BjkgWOwHswvxuMYLM/a4wesfwwKIeQ2n2XFrFixAkuWLMGNGzfQvn17fPjhhwgJCbF0WERk5ZhbiKiqML8QkbGqTdFGRERERERUHVn9NW1ERERERETVGYs2IiIiIiIiGWPRRkREREREJGMs2oiIiIiIiGSsRhdtycnJaNiwIezt7RESEoJjx46V2n/Tpk1o3rw57O3t0aZNG+zcuVPncSEE5syZA19fXzg4OCAyMhIXL16URfwff/wxunbtCnd3d7i7uyMyMlKvf3x8PBQKhc4tJiamyuIv7xhSUlL04rO3t9fpY+59UN4xRERE6I1BoVCgV69eUh9z74eDBw+id+/e8PPzg0KhwLZt28p8zoEDB/Dkk09CpVKhcePGSElJ0etT3vdXdWLtuQVgfmF+MQ3mF9NjfmF+scQYmF9kQNRQGzduFHZ2duLTTz8VZ8+eFePGjRNubm4iIyPDYP8ff/xR2NraisWLF4tz586Jt956SyiVSvHrr79KfRYuXChcXV3Ftm3bxKlTp0SfPn1EYGCguH//vsXjHz58uEhOTha//PKL+O2330R8fLxwdXUVV69elfrExcWJmJgYcf36del2584dk8de0TGsXbtWuLi46MR348YNnT7m3AcVGUNmZqZO/GfOnBG2trZi7dq1Uh9z74edO3eKN998U2zdulUAEN98802p/f/44w/h6Ogopk6dKs6dOyeWL18ubG1txe7du6U+5d0u1Ym155aKjIH5RR77gfmF+aU45peqwfzC/GIJNbZoCw4OFhMnTpTuFxYWCj8/P5GUlGSw/+DBg0WvXr102kJCQsSECROEEEJoNBrh4+MjlixZIj2elZUlVCqV2LBhg8XjL+7Ro0fC2dlZrFu3TmqLi4sTffv2NXWoJSrvGNauXStcXV1LXJ6594EQld8PS5cuFc7OziI3N1dqM/d+KMqYpDdjxgzRqlUrnbYhQ4aI6Oho6X5lt4s1s/bcIgTziyHWuB+YX6of5hfmF1NhfnnMmvJLjTw98uHDhzhx4gQiIyOlNhsbG0RGRuLw4cMGn3P48GGd/gAQHR0t9U9PT8eNGzd0+ri6uiIkJKTEZZoz/uLy8/NRUFAADw8PnfYDBw7Ay8sLzZo1w0svvYTMzEyTxq5V0THk5uYiICAA/v7+6Nu3L86ePSs9Zs59UJkxFPXJJ59g6NChcHJy0mk3136oiLLeC6bYLtbK2nNLRcdQHPOL5cZQFPNL9cL88hjzi+XGUBTzi/nVyKLt9u3bKCwshLe3t067t7c3bty4YfA5N27cKLW/9t/yLLOiKhJ/ca+//jr8/Px0XpgxMTH47LPPsG/fPixatAjff/89YmNjUVhYaNL4gYqNoVmzZvj000+xfft2rF+/HhqNBl26dMHVq1cBmHcfVHQMRR07dgxnzpzB2LFjddrNuR8qoqT3QnZ2Nu7fv2+S16e1svbcAjC/ML9YFvNLyZhfHmN+scwYimJ+sYxalg6AzG/hwoXYuHEjDhw4oHMh7NChQ6X/t2nTBm3btkVQUBAOHDiAHj16WCJUHZ07d0bnzp2l+126dEGLFi2wZs0azJ8/34KRVcwnn3yCNm3aIDg4WKdd7vuBqDTML/LA/ELVEfOLPDC/WEaN/Katbt26sLW1RUZGhk57RkYGfHx8DD7Hx8en1P7af8uzzIqqSPxa7777LhYuXIjU1FS0bdu21L6NGjVC3bp1cenSpUrHXFxlxqClVCrxxBNPSPGZcx8AlRtDXl4eNm7ciDFjxpS5nqrcDxVR0nvBxcUFDg4OJtm31sracwvA/KLF/GIZzC8lY35hfjEV5pf/sab8UiOLNjs7O3To0AH79u2T2jQaDfbt26fzSUhRnTt31ukPAGlpaVL/wMBA+Pj46PTJzs7G0aNHS1ymOeMHgMWLF2P+/PnYvXs3OnbsWOZ6rl69iszMTPj6+pok7qIqOoaiCgsL8euvv0rxmXMfAJUbw6ZNm6BWq/HCCy+UuZ6q3A8VUdZ7wRT71lpZe26p6BgA5hdTY375H+aXx5hfmF9Mhfnlf6wqv1h6JhRL2bhxo1CpVCIlJUWcO3dOjB8/Xri5uUlTsI4YMULMnDlT6v/jjz+KWrVqiXfffVf89ttvYu7cuQanzXVzcxPbt28Xp0+fFn379q3SKf/LE//ChQuFnZ2d2Lx5s85UrDk5OUIIIXJycsS0adPE4cOHRXp6uti7d6948sknRZMmTcSDBw9MHn9FxpCYmCj27NkjLl++LE6cOCGGDh0q7O3txdmzZ3XGaa59UJExaIWGhoohQ4botVtiP+Tk5IhffvlF/PLLLwKAeP/998Uvv/wi/vzzTyGEEDNnzhQjRoyQ+munzJ0+fbr47bffRHJyssEpc0vbLtWZteeWioyB+UUe+0GL+aX6Yn5hfrHUGLSYXyynxhZtQgixfPly0aBBA2FnZyeCg4PFkSNHpMfCw8NFXFycTv+vv/5aNG3aVNjZ2YlWrVqJ7777TudxjUYjZs+eLby9vYVKpRI9evQQFy5ckEX8AQEBAoDebe7cuUIIIfLz80VUVJTw9PQUSqVSBAQEiHHjxlX5i7Q8Y5gyZYrU19vbWzzzzDPi559/1lmeufdBeccghBDnz58XAERqaqresiyxH/bv32/wtaGNOy4uToSHh+s9p3379sLOzk40atRI53datErbLtWdteeW8o6B+UUeYxCC+aUmYH5hfrHEGIRgfrE0hRBCVO13eURERERERFRRNfKaNiIiIiIiImvBoo2IiIiIiEjGWLQRERERERHJGIs2IiIiIiIiGWPRRkREREREJGMs2oiIiIiIiGSMRRsREREREZGMybZoi4iIQEREhKXDICsUHx+Phg0bmn29lXnNKhQKJCQkmDQe0nfgwAEoFAps3rzZ0qFQOaWkpEChUODKlSsWjaP4e1UucRGR6Vnq/Z2QkACFQlGh5/L42XwUCgUmTZpktvWVu2j79ddfMWjQIAQEBMDe3h716tVDz549sXz58qqIr0odOnQICQkJyMrKsnQoNc65c+eQkJDAA51yuHbtGhISEnDy5ElLh0JERCXQHugXvXl5eaFbt27YtWuXXn9tn7Fjxxpc3ptvvin1uX37ttQeHx+P2rVrV9k4rEV+fj4SEhJw4MABS4diVd555x1s27bN0mFQOZSraDt06BA6duyIU6dOYdy4cVixYgXGjh0LGxsbfPDBB1UVY5U5dOgQEhMTWbRZwLlz55CYmFitirbU1FSkpqZW2fKvXbuGxMREFm1UI40YMQL3799HQECApUPRIde4yPLmzZuHzz//HJ999hlmzJiBW7du4ZlnnsGOHTv0+trb22PLli14+PCh3mMbNmyAvb29OUK2Svn5+UhMTKxWRdtbb72F+/fvV+k6WLRZn1rl6fz222/D1dUVP/30E9zc3HQeu3nzpinjslpCCDx48AAODg6WDoXMzM7OztIhVBv5+flwdHS0dBgkI7a2trC1tbV0GHrkGhdZXmxsLDp27CjdHzNmDLy9vbFhwwY8++yzOn1jYmLw7bffYteuXejbt6/UfujQIaSnp2PgwIHYsmWL2WIny6pVqxZq1SrXITqVIC8vD05OTpYOwyTK9U3b5cuX0apVK72CDQC8vLz02tavX48OHTrAwcEBHh4eGDp0KP7++2+9fh999BGCgoLg4OCA4OBg/Pe//zW4frVajblz56Jx48ZQqVTw9/fHjBkzoFardfppzzHdtm0bWrduDZVKhVatWmH37t1Sn4SEBEyfPh0AEBgYKJ16oP3mZ+3atejevTu8vLygUqnQsmVLrFq1Si+mhg0b4tlnn8WePXvQsWNHODg4YM2aNQgPD0e7du0MjqNZs2aIjo42+FhRu3btQnh4OJydneHi4oJOnTrhyy+/1OmzadMmaRvXrVsXL7zwAv755x+dPtpTKP766y88++yzqF27NurVq4fk5GQAj0957d69O5ycnBAQEKC3Du2pHgcPHsSECRNQp04duLi4YOTIkbh7967etjd0bVbDhg0RHx8vLe+5554DAHTr1k3a9kU/Jdu1axe6du0KJycnODs7o1evXjh79qzecrX72N7eHq1bt8Y333xT5nbV2r59O3r16gU/Pz+oVCoEBQVh/vz5KCwslPr89ttvcHBwwMiRI3We+8MPP8DW1havv/661Fb8PPKHDx9izpw56NChA1xdXeHk5ISuXbti//79RseodeDAAXTq1AkAMGrUKGmbpaSkSH3M8VoAgD/++APPPfccPDw84OjoiKeeegrfffedXr8///wTffr0gZOTE7y8vPDaa69hz549evs6IiICrVu3xokTJxAWFgZHR0e88cYbAIzbR8WX0aVLFzg4OCAwMBCrV682uD01Gg3efvtt1K9fH/b29ujRowcuXbokPT537lwolUrcunVL77njx4+Hm5sbHjx4YHDZVDWKX1uizb0//PADgoODYW9vj0aNGuGzzz7TeV5BQQESExPRpEkT2Nvbo06dOggNDUVaWprUp6RrQIy5PtbQNS/GxkY1i5ubGxwcHAwejNerVw9hYWF6OfeLL75AmzZt0Lp160qt+/z58xg8eDA8PT3h4OCAZs2a4c0339Tp88svvyA2NhYuLi6oXbs2evTogSNHjuj00b7ef/jhB0yePBmenp5wc3PDhAkT8PDhQ2RlZWHkyJFwd3eHu7s7ZsyYASGE9PwrV65AoVDg3XffxdKlSxEQEAAHBweEh4fjzJkzOusy5n155coVeHp6AgASExOlv41Fj0POnz+PQYMGwcPDA/b29ujYsSO+/fZbveWePXsW3bt3h4ODA+rXr48FCxZAo9EYtX1Pnz6N+Ph4NGrUCPb29vDx8cHo0aORmZkp9bl//z6aN2+O5s2b63yLdufOHfj6+qJLly7S3zZD17QZe1xqDIVCgby8PKxbt07aZtpjNMA8rwXgcUH1r3/9C/7+/lCpVGjWrBneffddvX7379/H5MmTUbduXTg7O6NPnz74559/9Pa1drudO3cOw4cPh7u7O0JDQwEYt4+KLkP7nnFxcUGdOnXw6quvlvh3v7R6Y//+/VAoFAaPT7/88ksoFAocPny45J1VlCiHqKgo4ezsLH799dcy+y5YsEAoFAoxZMgQsXLlSpGYmCjq1q0rGjZsKO7evSv1+/e//y0AiC5duogPP/xQTJkyRbi5uYlGjRqJ8PBwqV9hYaGIiooSjo6OYsqUKWLNmjVi0qRJolatWqJv37466wYg2rVrJ3x9fcX8+fPFsmXLRKNGjYSjo6O4ffu2EEKIU6dOiWHDhgkAYunSpeLzzz8Xn3/+ucjNzRVCCNGpUycRHx8vli5dKpYvXy6ioqIEALFixQqddQUEBIjGjRsLd3d3MXPmTLF69Wqxf/9+8fHHHwsAetvq2LFjAoD47LPPSt1+a9euFQqFQrRu3Vq8/fbbIjk5WYwdO1aMGDFCpw8A0alTJ7F06VIxc+ZM4eDgoLeN4+LihL29vWjZsqV48cUXRXJysujSpYsAINauXSv8/PzE9OnTxfLly0WrVq2Era2t+OOPP/TW06ZNG9G1a1fx4YcfiokTJwobGxsRFhYmNBqNzrafO3eu3ngCAgJEXFycEEKIy5cvi8mTJwsA4o033pC2/Y0bN4QQQnz22WdCoVCImJgYsXz5crFo0SLRsGFD4ebmJtLT06Vl7tmzR9jY2IjWrVuL999/X7z55pvC1dVVtGrVSgQEBJS6fYUQol+/fmLw4MFiyZIlYtWqVeK5554TAMS0adN0+i1ZskQAENu3bxdCCJGbmyuCgoJEy5YtxYMHD6R+4eHhOq/ZW7duCV9fXzF16lSxatUqsXjxYtGsWTOhVCrFL7/8orOOkrab1o0bN8S8efMEADF+/Hhpm12+fFkIYb7Xwo0bN4S3t7dwdnYWb775pnj//fdFu3bthI2Njdi6davULzc3VzRq1Eg4ODiImTNnimXLlong4GDRrl07AUDs379fZ7v5+PgIT09P8corr4g1a9aIbdu2lWsfhYeHCz8/P+Hl5SUmTZokPvzwQxEaGioAiE8++UTqt3//fgFAPPHEE6JDhw5i6dKlIiEhQTg6Oorg4GCp38WLFwUAsXz5cp31qNVq4e7uLkaPHl3ivqKqoX2Na3NAQECAaNasmfD29hZvvPGGWLFihXjyySeFQqEQZ86ckZ73xhtvCIVCIcaNGyc+/vhj8d5774lhw4aJhQsXSn2Kv3e14uLi9HJJ8fdq8bjKExtVT9rXxN69e8WtW7fEzZs3xZkzZ8SECROEjY2NSE1N1ekPQEycOFF89NFHwsHBQeTk5AghhCgoKBCenp4iKSlJzJ07VwAQt27dkp4XFxcnnJycyozn1KlTwsXFRdSpU0fMmjVLrFmzRsyYMUO0adNG6nPmzBnh5OQkHTctXLhQBAYGCpVKJY4cOaI3tvbt24uYmBiRnJwsRowYIQCIGTNmiNDQUDF8+HCxcuVK8eyzzwoAYt26ddLz09PTpeOJhg0bikWLFonExETh4eEhPD09peMAIYx7X+bm5opVq1YJAKJ///7S38ZTp05J43J1dRUtW7YUixYtEitWrBBhYWFCoVDo/M26fv268PT0FO7u7iIhIUEsWbJENGnSRLRt21bv/W3Iu+++K7p27SrmzZsnPvroI/Hqq68KBwcHERwcrHOMdOTIEWFraytee+01qW3o0KHCwcFBXLhwQWrT7u+ijD0uLWm7FfX5558LlUolunbtKm2zQ4cOSdvMHK8FjUYjunfvLhQKhRg7dqxYsWKF6N27twAgpkyZohPv4MGDBQAxYsQIkZycLAYPHiwdTxTNx9rt1rJlS9G3b1+xcuVKkZycXK59pF1GmzZtRO/evcWKFSvECy+8IK2/KGPqDY1GI/z9/cXAgQP19sMzzzwjgoKCSt1XOuszuqcQIjU1Vdja2gpbW1vRuXNnMWPGDLFnzx7x8OFDnX5XrlwRtra24u2339Zp//XXX0WtWrWk9ocPHwovLy/Rvn17oVarpX4fffSRAKDzovv888+FjY2N+O9//6uzzNWrVwsA4scff/zfoABhZ2cnLl26JLWdOnVK7yBMezBu6M2Yn5+v1xYdHS0aNWqk0xYQECAAiN27d+u0Z2VlCXt7e/H666/rtE+ePFk4OTlJxaEhWVlZwtnZWYSEhIj79+/rPKZ9YWm3XevWrXX67NixQwAQc+bMkdri4uIEAPHOO+9IbXfv3hUODg5CoVCIjRs3Su3nz58v8aCkQ4cOOvt68eLFOsWMEMYVbUIIsWnTJr2DdyGEyMnJEW5ubmLcuHE67Tdu3BCurq467e3btxe+vr4iKytLaktNTRUAjCraDO3jCRMmCEdHR51irLCwUISGhgpvb29x+/ZtMXHiRFGrVi3x008/6Ty3eKJ89OiRzutaiMfb3dvbW++gv6yiTQghfvrpJ6m4Ksqcr4UpU6YIADrvw5ycHBEYGCgaNmwoCgsLhRBCvPfeewKAVHwJIcT9+/dF8+bNDRZtAMTq1av1xmzsPtIu47333pPa1Gq1aN++vfDy8pJet9qirUWLFjr75oMPPtD7kKVz584iJCREZ91bt241+LqlqmeoaAMgDh48KPW5efOmUKlU4l//+pfU1q5dO9GrV69Sl10VRZsxsVH1pH1NFL+pVCqRkpKi119btN25c0fY2dmJzz//XAghxHfffScUCoW4cuVKpYq2sLAw4ezsLP7880+d9qIHqv369RN2dnbSB4FCCHHt2jXh7OwswsLC9MYWHR2t8/zOnTsLhUIhXnzxRant0aNHon79+jrvLW3R5uDgIK5evSq1Hz16VADQKWaMfV/eunWrxL+hPXr0EG3atNH5e6HRaESXLl1EkyZNpDbt37ajR49KbTdv3hSurq5GFW2G/lZt2LBBLw8IIcSsWbOEjY2NOHjwoHQstGzZMp0+hoo2Y49LjSnahBDCyclJ57hMy1yvhW3btgkAYsGCBTrrHzRokFAoFNIx/IkTJwwWcvHx8SUWbcOGDdMbl7H7SLuMPn366PR9+eWXBQDpAwEhjK83Zs2aJVQqlc7x6s2bN0WtWrXKPPYrqlynR/bs2ROHDx9Gnz59cOrUKSxevBjR0dGoV6+ezlfNW7duhUajweDBg3H79m3p5uPjgyZNmkinhx0/fhw3b97Eiy++qHM9UHx8PFxdXXXWvWnTJrRo0QLNmzfXWWb37t0BQO+Us8jISAQFBUn327ZtCxcXF/zxxx9GjbXoNWn37t3D7du3ER4ejj/++AP37t3T6RsYGKh3uqOrqyv69u2LDRs2SF/zFhYW4quvvkK/fv1KPb82LS0NOTk5mDlzpt7Fx9qvy7Xb7uWXX9bp06tXLzRv3tzg6WpFZ6Zyc3NDs2bN4OTkhMGDB0vtzZo1g5ubm8HtNH78eCiVSun+Sy+9hFq1amHnzp0ljqW80tLSkJWVhWHDhunsZ1tbW4SEhEj7+fr16zh58iTi4uJ0Xis9e/ZEy5YtjVpX0X2ck5OD27dvo2vXrsjPz8f58+elx2xsbJCSkoLc3FzExsZi5cqVmDVrls61CobY2tpKr2uNRoM7d+7g0aNH6NixI37++Wejt0lZzPla2LlzJ4KDg6XTDQCgdu3aGD9+PK5cuYJz584BAHbv3o169eqhT58+Uj97e3uMGzfO4BhUKhVGjRql127sPgIeXwMwYcIE6b6dnR0mTJiAmzdv4sSJEzp9R40apZNzunbtCgA6Yx05ciSOHj2Ky5cvS21ffPEF/P39ER4ebnAcZF4tW7aU9h0AeHp6olmzZjr70c3NDWfPnsXFixdlFxtVb8nJyUhLS0NaWhrWr1+Pbt26YezYsdi6davB/u7u7oiJicGGDRsAPD51qkuXLpWa5ObWrVs4ePAgRo8ejQYNGug8pj2eKCwsRGpqKvr164dGjRpJj/v6+mL48OH44YcfkJ2drfPcMWPG6Jy+FxISAiEExowZI7XZ2tqiY8eOBl/z/fr1Q7169aT7wcHBCAkJMenxxJ07d/Cf//wHgwcPlv5+3L59G5mZmYiOjsbFixelSwh27tyJp556CsHBwdLzPT098fzzzxu1rqJ/qx48eIDbt2/jqaeeAgC9v/cJCQlo1aoV4uLi8PLLLyM8PByTJ08u1zrKOi6tKHO+Fnbu3AlbW1u9sf/rX/+CEEKaaVV7quHLL7+s0++VV14pcRwvvviiXlt59hEATJw40eD6ir9Gjak3Ro4cCbVarfNzQ1999RUePXqEF154ocRxFFfuKf87deqErVu34u7duzh27BhmzZqFnJwcDBo0SDpgu3jxIoQQaNKkCTw9PXVuv/32mzRpyZ9//gkAaNKkic46lEqlzotFu8yzZ8/qLa9p06YA9CdCKZ6cgMcJsfg1WCX58ccfERkZCScnJ7i5ucHT01O6zsZQ0WbIyJEj8ddff0nX6O3duxcZGRkYMWJEqevWHiSWdg67dts1a9ZM77HmzZtLj2vZ29tL531rubq6on79+nrnTbu6uhrcTsX3U+3ateHr62vSGSC1B1bdu3fX29epqallvnYAw9vEkLNnz6J///5wdXWFi4sLPD09pTdP8X0cFBSEhIQE/PTTT2jVqhVmz55t1DrWrVuHtm3bStfSeHp64rvvvjNZggXM+1r4888/Da6nRYsWOrH8+eefCAoK0lte48aNDY6hXr16BidyKc8+8vPz0/swRJsfir9Gi+cHd3d3ANAZ65AhQ6BSqfDFF19I69uxYweef/75Cv9+DpmWMXl+3rx5yMrKQtOmTdGmTRtMnz4dp0+flkVsVL0FBwcjMjISkZGReP755/Hdd9+hZcuWmDRpksFZIgFg+PDhSEtLw19//YVt27Zh+PDhlYpBe+BY2vHErVu3kJ+fX2Ju12g0evMRFH99az889ff312s35ngCeJyvTXk8cenSJQghMHv2bL3jiblz5wKAzjFFZY4n7ty5g1dffRXe3t5wcHCAp6endGxY/G+VnZ0dPv30U6SnpyMnJwdr16416m9KeY5LK8qcr4U///wTfn5+cHZ21luP9nHtvzY2NnrH2iUdTwCGj8vLs48A/ddoUFAQbGxsyjyeAPRzffPmzdGpUyfpeAJ4/CHwU089Veo4iqvw1DR2dnbo1KkTOnXqhKZNm2LUqFHYtGkT5s6dC41GA4VCgV27dhmcVasivyui0WjQpk0bvP/++wYfL/7iKGk2L+23XqW5fPkyevTogebNm+P999+Hv78/7OzssHPnTixdulTvwtSSZoqMjo6Gt7c31q9fj7CwMKxfvx4+Pj6IjIwsMwZTK2l7VGY7lUfxiSNKot22n3/+OXx8fPQeN9VsSllZWQgPD4eLiwvmzZuHoKAg2Nvb4+eff8brr79u8OJj7XT+165dQ2ZmpsH4ilq/fj3i4+PRr18/TJ8+HV5eXrC1tUVSUpLOtzfmZunXgiGG3kMV2UfGMmas7u7uePbZZ/HFF19gzpw52Lx5M9Rqdbk+FaOqZcx+DAsLw+XLl7F9+3akpqbi3//+N5YuXYrVq1dL3zgrFAqDr3Nj81ZFY6OaxcbGBt26dcMHH3yAixcvolWrVnp9+vTpA5VKhbi4OKjVap2zH+SkPH9HKvqar+z7Uvs3Ytq0aSVO/laeA+bSDB48GIcOHcL06dPRvn171K5dGxqNBjExMQb/Vu3ZswfA4298Ll68WOKH/1rlPS41J3O8FsrL0DFFefdRcSUV1sbm+pEjR+LVV1/F1atXoVarceTIEaxYscKI0fyPSY6AtaeJXb9+HcDjalQIgcDAQOmTbkO0X/lfvHhROs0ReDzbV3p6us7si0FBQTh16hR69Ohhsk+5S1rO//3f/0GtVuPbb7/VqaDLO+ufra0thg8fjpSUFCxatAjbtm3DuHHjypweWvs165kzZ0pMKNptd+HCBZ1tp22rit8MunjxIrp16ybdz83NxfXr1/HMM89Ibe7u7nq/e/fw4UPptaFV0rbXjt3Ly6vU4rboa6e4CxculD4QPJ6NMTMzE1u3bkVYWJjUnp6ebrD/6tWrkZaWhrfffhtJSUmYMGECtm/fXuo6Nm/ejEaNGmHr1q0649V+wldeJW0zc74WAgICDG5f7amK2nUFBATg3LlzEELoxF10hsaylHcfXbt2TW9q399//x0AypwBsCQjR45E37598dNPP+GLL77AE088YfBAi+TNw8MDo0aNwqhRo5Cbm4uwsDAkJCRIRZu7u7vBU7iKf0tNVFmPHj0C8PjvpyEODg7o168f1q9fj9jYWNStW7dS69OetVR8ZsaiPD094ejoWGJut7Gx0ftgvLIM/e3+/fffdXK1se/Lkv42aseuVCrL/LA8ICCgwscTd+/exb59+5CYmIg5c+ZI7SWdkn369GnMmzcPo0aNwsmTJzF27Fj8+uuvepcFFWWq49KiDG03c74WAgICsHfvXuTk5Oh822boeEKj0SA9PV3n26/yHE+Udx9pHytaTF+6dAkajabCxxNDhw7F1KlTsWHDBty/fx9KpRJDhgwp1zLKdXrk/v37DVbJ2vM7tV+nDhgwALa2tkhMTNTrL4SQptfs2LEjPD09sXr1ap1TBVJSUvQO/AcPHox//vkHH3/8sd7679+/j7y8vPIMBQCkg7vi69IWVUVjv3fvHtauXVvudYwYMQJ3797FhAkTkJuba9Sn9FFRUXB2dkZSUpLe9KLamDp27AgvLy+sXr1a5ycPdu3ahd9++w29evUqd6xl+eijj1BQUCDdX7VqFR49eoTY2FipLSgoCAcPHtR7XvFPxkra9tHR0XBxccE777yjsy4t7RTsvr6+aN++PdatW6fztXZaWpp0mm5pDO3jhw8fYuXKlXp909PTMX36dAwcOBBvvPEG3n33XXz77bdlTt9taB1Hjx41fmrXYkraZuZ8LTzzzDM4duyYzhjy8vLw0UcfoWHDhtL1hNHR0fjnn390rnV98OCBwfdvScqzj4DHB0Nr1qzR6btmzRp4enqiQ4cORq+3KO1B06JFi/D999/zWzYrVHw659q1a6Nx48Y675WgoCCcP39e5yceTp06hR9//NFscVL1V1BQgNTUVNjZ2UmngBkybdo0zJ071+jT8Evj6emJsLAwfPrpp/jrr790HtPmVltbW0RFRWH79u06p35lZGTgyy+/RGhoKFxcXCodS1Hbtm3T+UmaY8eO4ejRo3rHE8a8L7W/6Vn8b6OXlxciIiKwZs0avQ+OAegs95lnnsGRI0dw7NgxnceLns5WEkN/qwBg2bJlen0LCgoQHx8PPz8/fPDBB0hJSUFGRgZee+21cq+joselWk5OTgaPf831WnjmmWdQWFio923T0qVLoVAopNeC9lvS4n/7ly9fbvS6yrOPtLQ/hVR8fUVfo+VRt25dxMbGYv369fjiiy8QExNT7g9lyvVN2yuvvIL8/Hz0798fzZs3x8OHD3Ho0CF89dVXaNiwoTSRQFBQEBYsWIBZs2bhypUr6NevH5ydnZGeno5vvvkG48ePx7Rp06BUKrFgwQJMmDAB3bt3x5AhQ5Ceno61a9fqXdM2YsQIfP3113jxxRexf/9+PP300ygsLMT58+fx9ddfS7+TVh7aA7k333wTQ4cOhVKpRO/evREVFQU7Ozv07t1bKrY+/vhjeHl5GXzjl+aJJ55A69atpYlUnnzyyTKf4+LigqVLl2Ls2LHo1KmT9FsTp06dQn5+PtatWwelUolFixZh1KhRCA8Px7Bhw5CRkYEPPvgADRs2LDMBVMTDhw/Ro0cPDB48GBcuXMDKlSsRGhqqM9nE2LFj8eKLL2LgwIHo2bMnTp06hT179ui9MNu3bw9bW1ssWrQI9+7dg0qlkn5/ZNWqVRgxYgSefPJJDB06FJ6envjrr7/w3Xff4emnn5be4ElJSejVqxdCQ0MxevRo3LlzB8uXL0erVq1K/BRTq0uXLnB3d0dcXBwmT54MhUKBzz//3OCHDKNHj4aDg4P0eygTJkzAli1b8OqrryIyMhJ+fn4G1/Hss89i69at6N+/P3r16oX09HSsXr0aLVu2LDM+Q4KCguDm5obVq1fD2dkZTk5OCAkJQWBgoNleCzNnzsSGDRsQGxuLyZMnw8PDA+vWrUN6ejq2bNkCG5vHnwNNmDABK1aswLBhw/Dqq6/C19cXX3zxhTRRijHflhu7j7T8/PywaNEiXLlyBU2bNsVXX32FkydP4qOPPtKZQKc8lEolhg4dihUrVsDW1hbDhg2r0HLIclq2bImIiAh06NABHh4eOH78ODZv3oxJkyZJfUaPHo33338f0dHRGDNmDG7evInVq1ejVatWehfdExlr165d0rcGN2/exJdffomLFy9i5syZpR74tmvXrsTfea2IDz/8EKGhoXjyyScxfvx4BAYG4sqVK/juu+9w8uRJAMCCBQuQlpaG0NBQvPzyy6hVqxbWrFkDtVqNxYsXmywWrcaNGyM0NBQvvfQS1Go1li1bhjp16mDGjBlSH2Pflw4ODmjZsiW++uorNG3aFB4eHmjdujVat26N5ORkhIaGok2bNhg3bhwaNWqEjIwMHD58GFevXsWpU6cAADNmzMDnn3+OmJgYvPrqq3BycsJHH32EgICAMq+BdXFxQVhYGBYvXoyCggLUq1cPqampBs8KWbBgAU6ePIl9+/bB2dkZbdu2xZw5c/DWW29h0KBBOmcuFWXK41KtDh06YO/evXj//ffh5+eHwMBAhISEmO210Lt3b3Tr1g1vvvkmrly5gnbt2iE1NRXbt2/HlClTpDOvOnTogIEDB2LZsmXIzMzEU089he+//146k8aY44ny7COt9PR09OnTBzExMTh8+DDWr1+P4cOHV+q9OXLkSAwaNAgAMH/+/PIvwOh5JoUQu3btEqNHjxbNmzcXtWvXFnZ2dqJx48bilVdeERkZGXr9t2zZIkJDQ4WTk5NwcnISzZs3FxMnTtT5LQohhFi5cqX0GxAdO3YUBw8eNDhl6cOHD8WiRYtEq1athEqlEu7u7qJDhw4iMTFR3Lt3T+qH/z99bnHFp50XQoj58+eLevXqCRsbG51pXb/99lvRtm1bYW9vL/2WyKeffmpwaueyppPWTo1fdJp1Y3z77beiS5cuwsHBQbi4uIjg4GCxYcMGnT5fffWVeOKJJ4RKpRIeHh7i+eef15lGV4iSpwUODw8XrVq10msvPibttK7ff/+9GD9+vHB3dxe1a9cWzz//vMjMzNR5bmFhoXj99ddF3bp1haOjo4iOjhaXLl0yuO0//vhj0ahRI2Fra6s3jfr+/ftFdHS0cHV1Ffb29iIoKEjEx8eL48eP6yxjy5YtokWLFkKlUomWLVuKrVu3Gpym25Aff/xRPPXUU8LBwUH4+flJP2FRNBbtVPBbtmzRee5ff/0lXFxcxDPPPKOzPYu+ZjUajXjnnXdEQECAUKlU4oknnhA7duwwahrxkmzfvl20bNlS1KpVS2/6f3O8FoR4/Dt7gwYNEm5ubsLe3l4EBweLHTt26D33jz/+EL169RIODg7C09NT/Otf/xJbtmwRAHR+66WkdQth3D4quozjx4+Lzp07C3t7exEQEKD3+zXaKf83bdqk066dhrr4zykI8b/fVoyKijIYI5mHoSn/DeXe4u/DBQsWiODgYOHm5iYcHBxE8+bNxdtvv633UzXr168XjRo1EnZ2dqJ9+/Ziz549lZry35jYqHoyNOW/vb29aN++vVi1apXO9OhClHzMUlRlpvwX4vFvb/Xv31/K282aNROzZ8/W6fPzzz+L6OhoUbt2beHo6Ci6desm/XZX8bEV/8kbQ/EZilGba5csWSLee+894e/vL/1eWNGp1LWMfV8eOnRIdOjQQdjZ2em9Ry9fvixGjhwpfHx8hFKpFPXq1RPPPvus2Lx5s84yTp8+LcLDw4W9vb2oV6+emD9/vvjkk0+MmvL/6tWr0vZ1dXUVzz33nLh27ZpOLCdOnBC1atUSr7zyis5zHz16JDp16iT8/Pyk31U1NOW/scelxuaZ8+fPi7CwMOHg4CAA6ByjmeO1IMTjnwx67bXXhJ+fn1AqlaJJkyZiyZIleu+RvLw8MXHiROHh4SFq164t+vXrJy5cuCAA6PzmZknrFsK4fVR0GefOnRODBg0Szs7Owt3dXUyaNEnvZ7jKU28I8b/fenV1ddVbljEU/3+lVIU++OADvPbaa7hy5YrBWWbkLiUlBaNGjcJPP/1U7m8ziYpatmwZXnvtNVy9elVnuufKioiIwO3bt0u9bqOiTp06hfbt2+Ozzz4rc+ZXIiIq2ZUrVxAYGIglS5Zg2rRplg6HrNjJkyfxxBNPYP369Ub/NIMxEhISkJiYiFu3blX6mtLiHj16BD8/P/Tu3RuffPJJuZ9f7in/qXyEEPjkk08QHh5ulQUbUUXdv39f5/6DBw+wZs0aNGnSxKQFW1X7+OOPUbt2bQwYMMDSoRAREdU4xY8ngMcfAtvY2OhMVCZ327Ztw61btzBy5MgKPd8086eTnry8PHz77bfYv38/fv311zJnGiSqbgYMGIAGDRqgffv2uHfvHtavX4/z588bdWG3HPzf//0fzp07h48++giTJk3S+w04IiIiqnqLFy/GiRMn0K1bN9SqVQu7du3Crl27MH78eJPPbFoVjh49itOnT2P+/Pl44oknEB4eXqHlsGirIrdu3cLw4cPh5uaGN954Q2eyDqKaIDo6Gv/+97/xxRdfoLCwEC1btsTGjRvLPcWtpbzyyivIyMjAM888g8TEREuHQ0REVCN16dIFaWlpmD9/PnJzc9GgQQMkJCTgzTfftHRoRlm1ahXWr1+P9u3bIyUlpcLL4TVtREREREREMsZr2oiIiIiIiGSMRRsREREREZGM1fhr2jQaDa5duwZnZ2ejfqCPiIwjhEBOTg78/PykH92uaZhfiKoG8wvzC1FVkWt+qfFF27Vr16xi5hkia/X333+jfv36lg7DIphfiKoW8wvzC1FVkVt+qfFFm7OzM4DHO8bFxaXEfgUFBUhNTUVUVBSUSqW5wjMpjkEeasoYsrOz4e/vL73HaiLmF+vCMcgD84txmF+si7WPwdrjB4wfg1zzS40v2rSnFLi4uJSZ9BwdHeHi4mLVL1aOwfJq2hhq8mk7zC/WhWOQB+YX4zC/WBdrH4O1xw+Ufwxyyy/yOVGTiIiIiIiI9LBoIyIiIiIikjEWbURERERERDLGoo2IiIiIiEjGWLQRERERERHJWI2fPbK8WifsgbrQNLPJXFnYyyTLISIisqSGM78z2bJUtgKLg022OCKycqbKL9aeW/hNGxERERERkYyxaCMiIiIiIpIxFm1EREREREQyxqKNiIiIiIhIxli0ERERERERyRiLNiIiIiIiIhlj0UZERERERCRjLNqIiIiIiIhkjEUbERERERGRjLFoIyIiIiIikjFZF21JSUno1KkTnJ2d4eXlhX79+uHChQs6fR48eICJEyeiTp06qF27NgYOHIiMjAwLRUxERERERGRasi7avv/+e0ycOBFHjhxBWloaCgoKEBUVhby8PKnPa6+9hv/7v//Dpk2b8P333+PatWsYMGCABaMmIiIiIiIynVqWDqA0u3fv1rmfkpICLy8vnDhxAmFhYbh37x4++eQTfPnll+jevTsAYO3atWjRogWOHDmCp556yhJhExERERERmYysi7bi7t27BwDw8PAAAJw4cQIFBQWIjIyU+jRv3hwNGjTA4cOHDRZtarUaarVaup+dnQ0AKCgoQEFBQYnr1j6mshGVH0ixZZqLdn3mXq8pcQzyYMwYrHl8RERERHJiNUWbRqPBlClT8PTTT6N169YAgBs3bsDOzg5ubm46fb29vXHjxg2Dy0lKSkJiYqJee2pqKhwdHcuMY35HTfmDL8HOnTtNtqzySEtLs8h6TYljkIfSxpCfn2/GSIiIiIiqL6sp2iZOnIgzZ87ghx9+qNRyZs2ahalTp0r3s7Oz4e/vj6ioKLi4uJT4vIKCAqSlpWH2cRuoNYpKxaB1JiHaJMsxlnYMPXv2hFKpNOu6TYVjkAdjxqD9FpuIiIiIKscqirZJkyZhx44dOHjwIOrXry+1+/j44OHDh8jKytL5ti0jIwM+Pj4Gl6VSqaBSqfTalUqlUQfQao0C6kLTFG2WOmA3dqxyxjHIQ2ljsPaxEREREcmFrGePFEJg0qRJ+Oabb/Cf//wHgYGBOo936NABSqUS+/btk9ouXLiAv/76C507dzZ3uERERERERCYn62/aJk6ciC+//BLbt2+Hs7OzdJ2aq6srHBwc4OrqijFjxmDq1Knw8PCAi4sLXnnlFXTu3JkzRxIRERERUbUg66Jt1apVAICIiAid9rVr1yI+Ph4AsHTpUtjY2GDgwIFQq9WIjo7GypUrzRwpERERERFR1ZB10SZE2dPr29vbIzk5GcnJyWaIiIiIiIiIyLxkfU0bERERERFRTceijYiIiMiEDh48iN69e8PPzw8KhQLbtm3TeTw+Ph4KhULnFhMTY5lgicgqsGgjIiIiMqG8vDy0a9eu1Es3YmJicP36dem2YcMGM0ZIRNZG1te0EREREVmb2NhYxMbGltpHpVKV+JuyRETFsWgjIiIiMrMDBw7Ay8sL7u7u6N69OxYsWIA6deqU2F+tVkOtVkv3s7OzAQAFBQUoKCgo8Xnax0rrI3ccg+VZMn6VbdkTExq1HJvHyylrDHLdRyzaiIiIiMwoJiYGAwYMQGBgIC5fvow33ngDsbGxOHz4MGxtbQ0+JykpCYmJiXrtqampcHR0LHOdaWlplY7b0jgGy7NE/IuDTbu8ssaQn59v2hWaCIs2IiIiIjMaOnSo9P82bdqgbdu2CAoKwoEDB9CjRw+Dz5k1axamTp0q3c/Ozoa/vz+ioqLg4uJS4roKCgqQlpaGnj17QqlUmm4QZsQxWJ4l42+dsMcky1HZCMzvqClzDNpvseWGRRsRERGRBTVq1Ah169bFpUuXSizaVCoVVCqVXrtSqTTqINrYfnLGMVieJeJXFypMuryyxiDX/cPZI4moRuKU3EQkF1evXkVmZiZ8fX0tHQoRyRS/aSOiGkk7Jffo0aMxYMAAg31iYmKwdu1a6b6hT7mJiIrLzc3FpUuXpPvp6ek4efIkPDw84OHhgcTERAwcOBA+Pj64fPkyZsyYgcaNGyM6OtqCURORnLFoI6IaiVNyE1FVOX78OLp16ybd116LFhcXh1WrVuH06dNYt24dsrKy4Ofnh6ioKMyfP58fDBFRiVi0ERGVgFNyG49jkAdLjcFUU3IDxk3LLfd9FBERASFK3iZ79phmYgUiqjlYtBERGcApuSuGY5AHc4/B1FNyA6WPQa5TchMRVRUWbUREBnBK7vLhGOTBUmMw1ZTcgHHTcst1Sm4ioqrCoo2IyAickts4HIM8mHsMpp6SGyh9DNa+f4iIyotT/hMRGYFTchMREZGl8Js2IqqROCU3ERERWQsWbURUI3FKbiIiIrIWLNqIqEbilNxERERkLXhNGxERERERkYyxaCMiIiIiIpIxFm1EREREREQyxqKNiIiIiIhIxli0ERERERERyRiLNiIiIiIiIhlj0UZERERERCRjsi7aDh48iN69e8PPzw8KhQLbtm3TeTw+Ph4KhULnFhMTY5lgiYiIiIiIqoCsi7a8vDy0a9cOycnJJfaJiYnB9evXpduGDRvMGCEREREREVHVqmXpAEoTGxuL2NjYUvuoVCr4+PiYKSIiIiIiIiLzknXRZowDBw7Ay8sL7u7u6N69OxYsWIA6deqU2F+tVkOtVkv3s7OzAQAFBQUoKCgo8Xnax1Q2wkSRo9T1VQXt+sy9XlPiGOTBmDFY8/iIiIiI5MSqi7aYmBgMGDAAgYGBuHz5Mt544w3Exsbi8OHDsLW1NficpKQkJCYm6rWnpqbC0dGxzHXO76ipdNxaO3fuNNmyyiMtLc0i6zUljkEeShtDfn6+GSMhIiIiqr6sumgbOnSo9P82bdqgbdu2CAoKwoEDB9CjRw+Dz5k1axamTp0q3c/Ozoa/vz+ioqLg4uJS4roKCgqQlpaG2cdtoNYoTBL/mYRokyzHWNox9OzZE0ql0qzrNhWOQR6MGYP2W2wiIiIiqhyrLtqKa9SoEerWrYtLly6VWLSpVCqoVCq9dqVSadQBtFqjgLrQNEWbpQ7YjR2rnHEM8lDaGKx9bERERERyIevZI8vr6tWryMzMhK+vr6VDISIiIiIiMglZf9OWm5uLS5cuSffT09Nx8uRJeHh4wMPDA4mJiRg4cCB8fHxw+fJlzJgxA40bN0Z0tHlPOyQiIiIiIqoqsi7ajh8/jm7dukn3tdeixcXFYdWqVTh9+jTWrVuHrKws+Pn5ISoqCvPnzzd4+iMREREREZE1knXRFhERASFKnmJ/z549ZoyGiIiIiIjI/KrVNW1ERERERETVDYs2IiIiIiIiGWPRRkREREREJGMs2oiIiIiIiGRM1hOREBEREVHltU7YA3WhotLLubKwlwmiIaLy4jdtREREREREMsaijYiIiIiISMZYtBEREREREckYizYiIiIiIiIZY9FGREREREQkYyzaiIiIiEzo4MGD6N27N/z8/KBQKLBt2zadx4UQmDNnDnx9feHg4IDIyEhcvHjRMsESkVVg0UZERERkQnl5eWjXrh2Sk5MNPr548WJ8+OGHWL16NY4ePQonJydER0fjwYMHZo6UiKwFf6eNiIiIyIRiY2MRGxtr8DEhBJYtW4a33noLffv2BQB89tln8Pb2xrZt2zB06FCDz1Or1VCr1dL97OxsAEBBQQEKCgpKjEX7mMpGVGgsJS3PnLTrtMS6TcXax2DJ+FW2pnntat8DZY1BrvuIRRsRERGRmaSnp+PGjRuIjIyU2lxdXRESEoLDhw+XWLQlJSUhMTFRrz01NRWOjo5lrnd+R03Fgy5i586dJllORaSlpVls3aZi7WOwRPyLg027vLLGkJ+fb9oVmgiLNiKqkQ4ePIglS5bgxIkTuH79Or755hv069dPelwIgblz5+Ljjz9GVlYWnn76aaxatQpNmjSxXNBEZPVu3LgBAPD29tZp9/b2lh4zZNasWZg6dap0Pzs7G/7+/oiKioKLi0uJzysoKEBaWhpmH7eBWqOoZPTAmYToSi+jvLRj6NmzJ5RKpdnXbwrWPgZLxt86YY9JlqOyEZjfUVPmGLTfYssNizYiqpG015yMHj0aAwYM0Htce83JunXrEBgYiNmzZyM6Ohrnzp2Dvb29BSImoppMpVJBpVLptSuVSqMOotUaBdSFlS/aLFlwGDtWObP2MVgiflO8bosqawxy3T8s2oioRqqKa06IiMri4+MDAMjIyICvr6/UnpGRgfbt21soKiKSOxZtRETFVPSak8pOFCDXi5+NwTHIg6XGYKqJAgDjJguw5n0UGBgIHx8f7Nu3TyrSsrOzcfToUbz00kuWDY6IZItFGxFRMRW95qSyEwVY+wXqAMcgF+Yeg6knCgBKH4NcJwrQys3NxaVLl6T76enpOHnyJDw8PNCgQQNMmTIFCxYsQJMmTaTTr/38/HSuqyUiKopFGxGRiXCiAOu9yB7gGCrDVBMFAMZNFiDXiQK0jh8/jm7dukn3tXkhLi4OKSkpmDFjBvLy8jB+/HhkZWUhNDQUu3fv5vWyRFQiFm1ERMVU9JoTThRg/RfZAxxDRZh6ogCg9DHIff9ERERAiJJPGVUoFJg3bx7mzZtnxqiIyJrZWDoAIiK5KXrNiZb2mpPOnTtbMDIiIiKqifhNGxHVSLzmhIiIiKwFizYiqpF4zQkRERFZCxZtRFQj8ZoTIiIisha8po2IiIiIiEjGZF20HTx4EL1794afnx8UCgW2bdum87gQAnPmzIGvry8cHBwQGRmJixcvWiZYIiIiIiKiKiDroi0vLw/t2rVDcnKywccXL16MDz/8EKtXr8bRo0fh5OSE6OhoPHjwwMyREhERERERVQ1ZX9MWGxuL2NhYg48JIbBs2TK89dZb6Nu3LwDgs88+g7e3N7Zt24ahQ4eaM1QiIiIiIqIqIeuirTTp6em4ceMGIiMjpTZXV1eEhITg8OHDJRZtarUaarVaup+dnQ0AKCgoQEFBQYnr0z6msil54oLyKm19VUG7PnOv15Q4BnkwZgzWPD4iIiIiObHaou3GjRsAAG9vb512b29v6TFDkpKSkJiYqNeempoKR0fHMtc7v6OmnJGWbOfOnSZbVnmkpaVZZL2mxDHIQ2ljyM/PN2MkRERERNWX1RZtFTVr1izp95iAx9+0+fv7IyoqCi4uLiU+r6CgAGlpaZh93AZqjcIksZxJiDbJcoylHUPPnj2hVCrNum5T4RjkwZgxaL/FJiIiIqLKsdqizcfHBwCQkZEBX19fqT0jIwPt27cv8XkqlQoqlUqvXalUGnUArdYooC40TdFmqQN2Y8cqZxyDPJQ2BmsfGxEREZFcyHr2yNIEBgbCx8cH+/btk9qys7Nx9OhRdO7c2YKRERERERERmY6sv2nLzc3FpUuXpPvp6ek4efIkPDw80KBBA0yZMgULFixAkyZNEBgYiNmzZ8PPzw/9+vWzXNBEREREREQmJOui7fjx4+jWrZt0X3stWlxcHFJSUjBjxgzk5eVh/PjxyMrKQmhoKHbv3g17e3tLhUxERERERGRSsi7aIiIiIETJU+wrFArMmzcP8+bNM2NURERERERE5mO117QRERERERHVBCzaiIiIiIiIZIxFGxERERERkYyxaCMiIiIiIpIxFm1EREREREQyxqKNiIiIiIhIxli0ERERERERyRiLNiIiIiIiIhlj0UZERERERCRjLNqIiIiIiIhkjEUbERERERGRjLFoIyIiIiIikjEWbURERERERDLGoo2IiIiIiEjGWLQRERERERHJWC1LB0BE5tFw5ncmW5bKVmBxsMkWR0RERESl4DdtREREREREMsaijYiIiIiISMZYtBERERGZUUJCAhQKhc6tefPmlg6LiGSM17QRERERmVmrVq2wd+9e6X6tWjwkI6KS8Zs2IqIS8NNwIqoqtWrVgo+Pj3SrW7eupUMiIhnjxzpERKXgp+FEVBUuXrwIPz8/2Nvbo3PnzkhKSkKDBg1K7K9Wq6FWq6X72dnZAICCggIUFBSU+DztYyobYZK4S1tXVdGu0xLrNhVrH4Ml41fZmua1q30PlDUGue4jHn0QEZVC+2k4EZGphISEICUlBc2aNcP169eRmJiIrl274syZM3B2djb4nKSkJCQmJuq1p6amwtHRscx1zu+oqXTcALBz506TLKci0tLSLLZuU7H2MVgiflP/xFBZY8jPzzftCk2ERRsRUSnK82k4PwmX7yeUxuAYKs5Un4QDxn0abs37CABiY2Ol/7dt2xYhISEICAjA119/jTFjxhh8zqxZszB16lTpfnZ2Nvz9/REVFQUXF5cS11VQUIC0tDTMPm4DtUZR6djPJERXehnlpR1Dz549oVQqzb5+U7D2MVgy/tYJe0yyHJWNwPyOmjLHoP3bLTcs2oiISlDeT8P5Sbj1f4oMcAwVYepPwoHSxyDXT8Irys3NDU2bNsWlS5dK7KNSqaBSqfTalUqlUQfRao0C6sLKF22WLDiMHaucWfsYLBG/KV63RZU1BrnuHxZtREQlKO+n4fwk3Ho/RQY4hsow1SfhgHGfhsv1k/CKys3NxeXLlzFixAhLh0JEMmX1RVtCQoLeJ9vNmjXD+fPnLRQREVVXZX0azk/Crf9TZIBjqAhTfxIOlD4Ga98/06ZNQ+/evREQEIBr165h7ty5sLW1xbBhwywdGhHJlNUXbQBndyMi8+Cn4URkClevXsWwYcOQmZkJT09PhIaG4siRI/D09LR0aEQkU9WiuuHsbkRUFfhpOBFVhY0bN1o6BCKyMtWiaLPG2d2KLtNcODOaPHB2N+vBT8OJiIhIDqy+aLPW2d0Ay83wxpnR5IGzu8kfPw0nIiIiObD6os1aZ3cDzD/DG2dGkwfO7kZERERE5WH1RVtx1jK7m3adlsCZ0eSBs7sRERERkTFsLB2AqWlnd/P19bV0KERERERERJVm9UXbtGnT8P333+PKlSs4dOgQ+vfvz9ndiIiIiIio2rD60yM5uxsREREREVVnVl+0cXY3IiIiIiKqzqz+9EgiIiIiIqLqjEUbERERERGRjLFoIyIiIiIikjEWbURERERERDLGoo2IiIiIiEjGWLQRERERERHJGIs2IiIiIiIiGWPRRkREREREJGMs2oiIiIiIiGSMRRsREREREZGMsWgjIiIiIiKSMRZtREREREREMsaijYiIiIiISMZYtBEREREREckYizYiIiIiIiIZY9FGREREREQkYyzaiIiIiIiIZIxFGxERERERkYyxaCMiIiIiIpIxFm1EREREREQyxqKNiIiIiIhIxli0ERERERERyRiLNiIiIiIiIhlj0UZERERERCRjLNqIiIiIiIhkjEUbERERERGRjFWboi05ORkNGzaEvb09QkJCcOzYMUuHRETVAHMLEVUV5hciMla1KNq++uorTJ06FXPnzsXPP/+Mdu3aITo6Gjdv3rR0aERkxZhbiKiqML8QUXlUi6Lt/fffx7hx4zBq1Ci0bNkSq1evhqOjIz799FNLh0ZEVoy5hYiqCvMLEZVHLUsHUFkPHz7EiRMnMGvWLKnNxsYGkZGROHz4sF5/tVoNtVot3b937x4A4M6dOygoKChxPQUFBcjPz0etAhsUahQmiT0zM9MkyzGWdgyZmZlQKpVmXbepcAwVV+tRnumWpRHIz9eUOoacnBwAgBDCZOs1p/LmFkA++cXcuQXge1MumF+sA/NL+fC9aXmWjN9U+cWY3ALIN79YfdF2+/ZtFBYWwtvbW6fd29sb58+f1+uflJSExMREvfbAwMAqi7Ekdd8z+yqJTGa4kf1ycnLg6upapbFUhfLmFkA++YW5hawd84s+5heiyjM2twDyyy9WX7SV16xZszB16lTpvkajwZ07d1CnTh0oFCV/ApWdnQ1/f3/8/fffcHFxMUeoJscxyENNGYMQAjk5OfDz8zNzdJbD/MIxWFpNGQPzC/OLtbH2MVh7/IDxY5BrfrH6oq1u3bqwtbVFRkaGTntGRgZ8fHz0+qtUKqhUKp02Nzc3o9fn4uJitS9WLY5BHmrCGOT0CVV5lTe3AMwvAMcgFzVhDMwvzC/WyNrHYO3xA8aNQY75xeonIrGzs0OHDh2wb98+qU2j0WDfvn3o3LmzBSMjImvG3EJEVYX5hYjKy+q/aQOAqVOnIi4uDh07dkRwcDCWLVuGvLw8jBo1ytKhEZEVY24hoqrC/EJE5VEtirYhQ4bg1q1bmDNnDm7cuIH27dtj9+7dehf4VoZKpcLcuXP1Tk2wJhyDPHAM1sMcuQWoHtuTY5AHjsF6ML8Yj2OwPGuPH7D+MSiE3OazJCIiIiIiIonVX9NGRERERERUnbFoIyIiIiIikjEWbURERERERDLGoo2IiIiIiEjGanTRlpycjIYNG8Le3h4hISE4duxYqf03bdqE5s2bw97eHm3atMHOnTt1HhdCYM6cOfD19YWDgwMiIyNx8eJFWcT/8ccfo2vXrnB3d4e7uzsiIyP1+sfHx0OhUOjcYmJiqiz+8o4hJSVFLz57e3udPubeB+UdQ0REhN4YFAoFevXqJfUx9344ePAgevfuDT8/PygUCmzbtq3M5xw4cABPPvkkVCoVGjdujJSUFL0+5X1/VSfWnlsA5hfmF9NgfjE95hfmF0uMgflFBkQNtXHjRmFnZyc+/fRTcfbsWTFu3Djh5uYmMjIyDPb/8ccfha2trVi8eLE4d+6ceOutt4RSqRS//vqr1GfhwoXC1dVVbNu2TZw6dUr06dNHBAYGivv371s8/uHDh4vk5GTxyy+/iN9++03Ex8cLV1dXcfXqValPXFyciImJEdevX5dud+7cMXnsFR3D2rVrhYuLi058N27c0Oljzn1QkTFkZmbqxH/mzBlha2sr1q5dK/Ux937YuXOnePPNN8XWrVsFAPHNN9+U2v+PP/4Qjo6OYurUqeLcuXNi+fLlwtbWVuzevVvqU97tUp1Ye26pyBiYX+SxH5hfmF+KY36pGswvzC+WUGOLtuDgYDFx4kTpfmFhofDz8xNJSUkG+w8ePFj06tVLpy0kJERMmDBBCCGERqMRPj4+YsmSJdLjWVlZQqVSiQ0bNlg8/uIePXoknJ2dxbp166S2uLg40bdvX1OHWqLyjmHt2rXC1dW1xOWZex8IUfn9sHTpUuHs7Cxyc3OlNnPvh6KMSXozZswQrVq10mkbMmSIiI6Olu5XdrtYM2vPLUIwvxhijfuB+aX6YX5hfjEV5pfHrCm/1MjTIx8+fIgTJ04gMjJSarOxsUFkZCQOHz5s8DmHDx/W6Q8A0dHRUv/09HTcuHFDp4+rqytCQkJKXKY54y8uPz8fBQUF8PDw0Gk/cOAAvLy80KxZM7z00kvIzMw0aexaFR1Dbm4uAgIC4O/vj759++Ls2bPSY+bcB5UZQ1GffPIJhg4dCicnJ512c+2HiijrvWCK7WKtrD23VHQMxTG/WG4MRTG/VC/ML48xv1huDEUxv5hfjSzabt++jcLCQnh7e+u0e3t748aNGwafc+PGjVL7a/8tzzIrqiLxF/f666/Dz89P54UZExODzz77DPv27cOiRYvw/fffIzY2FoWFhSaNH6jYGJo1a4ZPP/0U27dvx/r166HRaNClSxdcvXoVgHn3QUXHUNSxY8dw5swZjB07VqfdnPuhIkp6L2RnZ+P+/fsmeX1aK2vPLQDzC/OLZTG/lIz55THmF8uMoSjmF8uoZekAyPwWLlyIjRs34sCBAzoXwg4dOlT6f5s2bdC2bVsEBQXhwIED6NGjhyVC1dG5c2d07txZut+lSxe0aNECa9aswfz58y0YWcV88sknaNOmDYKDg3Xa5b4fiErD/CIPzC9UHTG/yAPzi2XUyG/a6tatC1tbW2RkZOi0Z2RkwMfHx+BzfHx8Su2v/bc8y6yoisSv9e6772LhwoVITU1F27ZtS+3bqFEj1K1bF5cuXap0zMVVZgxaSqUSTzzxhBSfOfcBULkx5OXlYePGjRgzZkyZ66nK/VARJb0XXFxc4ODgYJJ9a62sPbcAzC9azC+WwfxSMuYX5hdTYX75H2vKLzWyaLOzs0OHDh2wb98+qU2j0WDfvn06n4QU1blzZ53+AJCWlib1DwwMhI+Pj06f7OxsHD16tMRlmjN+AFi8eDHmz5+P3bt3o2PHjmWu5+rVq8jMzISvr69J4i6qomMoqrCwEL/++qsUnzn3AVC5MWzatAlqtRovvPBCmeupyv1QEWW9F0yxb62VteeWio4BYH4xNeaX/2F+eYz5hfnFVJhf/seq8oulZ0KxlI0bNwqVSiVSUlLEuXPnxPjx44Wbm5s0BeuIESPEzJkzpf4//vijqFWrlnj33XfFb7/9JubOnWtw2lw3Nzexfft2cfr0adG3b98qnfK/PPEvXLhQ2NnZic2bN+tMxZqTkyOEECInJ0dMmzZNHD58WKSnp4u9e/eKJ598UjRp0kQ8ePDA5PFXZAyJiYliz5494vLly+LEiRNi6NChwt7eXpw9e1ZnnObaBxUZg1ZoaKgYMmSIXrsl9kNOTo745ZdfxC+//CIAiPfff1/88ssv4s8//xRCCDFz5kwxYsQIqb92ytzp06eL3377TSQnJxucMre07VKdWXtuqcgYmF/ksR+0mF+qL+YX5hdLjUGL+cVyamzRJoQQy5cvFw0aNBB2dnYiODhYHDlyRHosPDxcxMXF6fT/+uuvRdOmTYWdnZ1o1aqV+O6773Qe12g0Yvbs2cLb2/v/tXfn8TGd+x/AP5NIJossElmJiNj3FknTWoJIhFpKaXQRS3ErtLhoaZFYGsu9l1Kl7W2FW6p2vSgJV7jUFqqqlksaWiVpRSMkMkbm+f3R15yfMTPJJJnMnMl83q9XXsxzluf7nZN5cr5zNqFUKkXPnj3F5cuXZRF/aGioAKD3M2fOHCGEEMXFxSI2Nlb4+fkJJycnERoaKsaMGVPtv6QVyWHSpEnSvAEBAaJPnz7izJkzOuuz9DaoaA5CCHHp0iUBQKSnp+utyxrb4eDBgwZ/N7RxJyYmim7duukt0759e+Hs7CwaNWqk85wWrbLel5rO1seWiubA8UUeOQjB8cUecHzh+GKNHITg+GJtCiGEqN5jeURERERERFRZdnlNGxERERERka1g0UZERERERCRjLNqIiIiIiIhkjEUbERERERGRjLFoIyIiIiIikjEWbURERERERDLGoo2IiIiIiEjGWLQRERERERHJGIs2C0tLS4NCoUBWVlallh8xYgQaNmxo3qBMEB0djejo6Eotq1AokJycbNZ4SF9mZiYUCgW2bNli7VCIaqQRI0agdu3a1g6DiEj2qrLfaEjDhg0xYsQIs63PFrFoI1m4efMmkpOTcfbsWWuHQkQ2bMOGDVi2bJm1wyAiE9Skz+uFCxeQnJyMa9euWTsUk3z77bdITk5GQUGBtUORyDEmOWHRRiZJT09Henp6ta3/5s2bSElJYdFGRFVSk3YCiWq6mvR5vXDhAlJSUmyqaEtJSam2Aqky+41lxXT58mV8+umnZorONrFoI5M4OzvD2dnZ2mHUCMXFxdYOgYgAlJSUQKPRWDsMIrIzQgg8ePDA2mFUC+0+jrn3G5VKJZycnMy2PlvEos3Mfv31V4wePRrBwcFQKpUICwvDG2+8gYcPHxpd5o8//kBERATq16+Py5cvS+07duxA69at4eLigtatW2P79u0mx7Fz50707dtXiiM8PBzz5s1DaWmpNM/Fixfh6uqK4cOH6yx75MgRODo64u2335banjw3+eHDh5g9ezY6dOgALy8vuLu7o0uXLjh48KDJMWplZmaiU6dOAICRI0dCoVBAoVAgLS1Nmmfz5s3o0KEDXF1dUbduXbz66qv49ddfddajvd7k559/xvPPP4/atWujXr16WLlyJQDghx9+QI8ePeDu7o7Q0FBs2LBBL5affvoJQ4YMgY+PD9zc3PDMM89g9+7devNdv34d/fv3h7u7O/z9/TF58mTs27cPCoUCmZmZOu9b69atcfr0aXTt2hVubm6YOXMmANO20ZPrePbZZ+Hq6oqwsDCsXr3a4Pup0WiwYMEC1K9fHy4uLujZsyeuXr0qTZ8zZw6cnJzw+++/6y07duxYeHt7o6SkxOC6iazt3r17mDRpEho2bAilUgl/f3/06tULZ86cQXR0NHbv3o3r169L44j2GmDtNZ8bN27Ee++9h3r16sHNzQ2FhYUATBtjDDl79iz8/PwQHR2N+/fvA/jz78CoUaMQEBAApVKJVq1a4fPPP6+294Soqq5fv47x48ejWbNmcHV1ha+vL4YMGWLwqFFBQQEmT54sfQbr16+P4cOH4/bt2wD+/9r9J5fVfga1fyPL+rwCgEqlwpw5c9C4cWMolUqEhIRg+vTpUKlUJuW0cuVKNGrUCK6uroiIiMB///vfKu3LbNy4ER06dICHhwc8PT3Rpk0bfPDBB1LOQ4YMAQB0795dykeba8OGDfH8889j37596NixI1xdXfHxxx8DMH2/w9T3Q6FQYMKECdI+pHYM2rt3rzRPcnIypk2bBgAICwuT4n18m33xxRfSmOjj44OEhAT88ssvOn2VtY9j6Jq2FStWoFWrVnBzc0OdOnXQsWNHaV+svJievKZNrVYjJSUFTZo0gYuLC3x9fdG5c2dkZGTovXc1RS1rB1CT3Lx5ExERESgoKMDYsWPRvHlz/Prrr9iyZQuKi4sNfuNw+/Zt9OrVC3fu3MGhQ4cQHh4O4M/DyoMHD0bLli2RmpqK/Px8jBw5EvXr1zcplrS0NNSuXRtTpkxB7dq18Z///AezZ89GYWEhlixZAgBo0aIF5s2bh2nTpuHFF19E//79UVRUhBEjRqB58+aYO3eu0fUXFhbin//8J4YNG4YxY8bg3r17+OyzzxAXF4eTJ0+iffv2Jr9vLVq0wNy5czF79myMHTsWXbp0AQA8++yzUi4jR45Ep06dkJqairy8PHzwwQc4evQovvvuO3h7e0vrKi0tRXx8PLp27YrFixdj/fr1mDBhAtzd3fHuu+/ilVdewaBBg7B69WoMHz4cUVFRCAsLAwDk5eXh2WefRXFxMd588034+vpi7dq16N+/P7Zs2YIXXngBAFBUVIQePXrg1q1beOuttxAYGIgNGzYYLVjz8/MRHx+PhIQEvPrqqwgICDB5G2n98ccf6NOnD4YOHYphw4Zh06ZNeOONN+Ds7IxRo0bpzLtw4UI4ODhg6tSpuHv3LhYvXoxXXnkFJ06cAAC89tprmDt3Lr766itMmDBBWu7hw4fYsmULBg8eDBcXF5O3H5El/eUvf8GWLVswYcIEtGzZEvn5+Thy5AguXryId999F3fv3sWNGzewdOlSANC7cci8efPg7OyMqVOnQqVSwdnZuUJjzONOnTqFuLg4dOzYETt37oSrqyvy8vLwzDPPSDtOfn5++OabbzB69GgUFhZi0qRJ1fwOEVXcqVOn8O233yIhIQH169fHtWvXsGrVKkRHR+PChQtwc3MDANy/fx9dunTBxYsXMWrUKDz99NO4ffs2vv76a9y4cQN169Y1uc+yPq8ajQb9+/fHkSNHMHbsWLRo0QI//PADli5div/973/YsWNHmetetWoVJkyYgC5dumDy5Mm4du0aBg4ciDp16ujsR5m6L5ORkYFhw4ahZ8+eWLRoEYA/v/g+evQo3nrrLXTt2hVvvvkmli9fjpkzZ6JFixYAIP0L/Hl637BhwzBu3DiMGTMGzZo1M3m/o6Lvx5EjR7Bt2zaMHz8eHh4eWL58OQYPHoyff/4Zvr6+GDRoEP73v//hyy+/xNKlS6Xt5ufnBwBYsGABZs2ahaFDh+L111/H77//jhUrVqBr1656Y6KxfZwnffrpp3jzzTfx4osv4q233kJJSQnOnTuHEydO4OWXXy43piclJycjNTUVr7/+OiIiIlBYWIisrCycOXMGvXr1KvP3w2YJMpvhw4cLBwcHcerUKb1pGo1GCCHEmjVrBABx6tQpcevWLdGqVSvRqFEjce3aNZ3527dvL4KCgkRBQYHUlp6eLgCI0NDQcmMpLi7Waxs3bpxwc3MTJSUlUltpaano3LmzCAgIELdv3xZJSUmiVq1aejl069ZNdOvWTXr96NEjoVKpdOb5448/REBAgBg1apROOwAxZ86cMuM9deqUACDWrFmj0/7w4UPh7+8vWrduLR48eCC179q1SwAQs2fPltoSExMFAPH+++/rxOTq6ioUCoXYuHGj1H7p0iW9uCZNmiQAiP/+979S271790RYWJho2LChKC0tFUII8fe//10AEDt27JDme/DggWjevLkAIA4ePCi1d+vWTQAQq1ev1svZ1G2kXcff//53qU2lUon27dsLf39/8fDhQyGEEAcPHhQARIsWLXS2zQcffCAAiB9++EFqi4qKEpGRkTp9b9u2TS9+Irnx8vISSUlJRqf37dvX4Bip/Xw0atRI57NX0THG3d1dCCHEkSNHhKenp+jbt6/O53X06NEiKChI3L59W6f/hIQE4eXlZfBzT2Rthn4vjx07JgCIdevWSW2zZ88WAMS2bdv05n9yPycnJ0dnuvYz+PjfGGOf13/961/CwcFB5++xEEKsXr1aABBHjx41motKpRK+vr6iU6dOQq1WS+1paWkCQKX2Zd566y3h6ekpHj16ZLTfzZs3G/0bGhoaKgCIvXv36rSbut9RkfcDgHB2dhZXr16V2r7//nsBQKxYsUJqW7JkicHtdO3aNeHo6CgWLFig0/7DDz+IWrVq6bSXtY/z5H7jgAEDRKtWrfTme5yxmIT48z1MTEyUXrdr10707du3zPXVNDw90kw0Gg127NiBfv36oWPHjnrTFQqFzusbN26gW7duUKvVOHz4MEJDQ6Vpt27dwtmzZ5GYmAgvLy+pvVevXmjZsqVJ8bi6ukr/v3fvHm7fvo0uXbqguLgYly5dkqY5ODggLS0N9+/fR3x8PD766CPMmDHDYA6Pc3R0lI4cajQa3LlzB48ePULHjh1x5swZk2I0RVZWFn777TeMHz9e5+hP37590bx5c4OnELz++uvS/729vdGsWTO4u7tj6NChUnuzZs3g7e2Nn376SWrbs2cPIiIi0LlzZ6mtdu3aGDt2LK5du4YLFy4AAPbu3Yt69eqhf//+0nwuLi4YM2aMwRyUSiVGjhyp127qNgKAWrVqYdy4cdJrZ2dnjBs3Dr/99htOnz6tM+/IkSN1jupqj1w+nuvw4cNx4sQJZGdnS23r169HSEgIunXrZjAPIjnw9vbGiRMncPPmzUotn5iYqPPZq8wYc/DgQcTFxaFnz57Ytm0blEolgD+vU9m6dSv69esHIQRu374t/cTFxeHu3btmHR+JzOXxz4RarUZ+fj4aN24Mb29vnd/ZrVu3ol27dtIRoMc9uZ9TFZs3b0aLFi3QvHlznc9Rjx49AKDMSzGysrKQn5+PMWPGoFat/z+h7JVXXkGdOnV05jV1X8bb2xtFRUVVOvUuLCwMcXFxOm2m7ndU9P2IiYmRztwCgLZt28LT01NnP8CYbdu2QaPRYOjQoTp9BQYGokmTJnp9GdvHeZK3tzdu3LiBU6dOlTuvKby9vfHjjz/iypUrZlmfLWDRZia///47CgsL0bp1a5Pmf+211/Dbb7/h0KFDqFevns6069evAwCaNGmit1yzZs1MWv+PP/6IF154AV5eXvD09ISfnx9effVVAMDdu3d15g0PD0dycjJOnTqFVq1aYdasWSb1sXbtWrRt21Y6l9jPzw+7d+/WW39VaN8LQ3k3b95cmq7l4uKidyjdy8sL9evX1/uD4uXlhT/++EOnL0P9aE9v0PZ1/fp1hIeH662vcePGBnOoV6+ewVNjK7KNgoOD4e7urtPWtGlTANC7bqBBgwY6r7V/pB7P9aWXXoJSqcT69eul/nbt2oVXXnnFrH94icxt8eLFOH/+PEJCQhAREYHk5GSTdkS0tKdDa1V0jCkpKUHfvn3x1FNPYdOmTTqf7d9//x0FBQX45JNP4Ofnp/Oj3an57bffTI6VyFIePHiA2bNnIyQkBEqlEnXr1oWfnx8KCgp0/h5lZ2ebvJ9TFVeuXMGPP/6o9znS/t0r63Ok/cw++Te5Vq1aBp9za8q+zPjx49G0aVPEx8ejfv36GDVqlM41YqZ4cuzRxmrKfkdF348n9wOAP/cFHt8PMObKlSsQQqBJkyZ6/V28eFGvL2P7OE96++23Ubt2bURERKBJkyZISkrC0aNHy13OmLlz56KgoABNmzZFmzZtMG3aNJw7d67S67MFvKbNSgYNGoR169bhgw8+QGpqqlnXXVBQgG7dusHT0xNz585FeHg4XFxccObMGbz99tsG75amvS3rzZs3kZ+fj8DAwDL7+OKLLzBixAgMHDgQ06ZNg7+/PxwdHZGamqpz9MbSHB0dK9QuhKjOcADofoOpVZltZCpTcq1Tpw6ef/55rF+/HrNnz8aWLVugUqmkopFIroYOHYouXbpg+/btSE9Px5IlS7Bo0SJs27YN8fHx5S5v6PNYEUqlEn369MHOnTuxd+9ePP/889I07ef21VdfRWJiosHl27ZtW6X+iarDxIkTsWbNGkyaNAlRUVHw8vKCQqFAQkJChf8eGfvi78mbbJVFo9GgTZs2+Mc//mFwekhISIViMsbUfRl/f3+cPXsW+/btwzfffINvvvkGa9aswfDhw7F27VqT+qrK2FPR96Mq+zwajQYKhQLffPONwfU8eZ2wqXm1aNECly9fxq5du7B3715s3boVH330EWbPno2UlBST1vG4rl27Ijs7Gzt37kR6ejr++c9/YunSpVi9erXOGVc1CYs2M/Hz84OnpyfOnz9v0vwTJ05E48aNMXv2bHh5eeGdd96RpmlPlTR0yPfxu0sak5mZifz8fGzbtg1du3aV2nNycgzOv3r1amRkZGDBggVITU3FuHHjsHPnzjL72LJlCxo1aoRt27bpDNBz5swpNz5DjA3y2vfi8uXL0mkAWpcvX9Y5rbSqQkNDDb6/2lMVtX2FhobiwoULEELoxP34HRrLU9FtdPPmTRQVFekcbfvf//4HAAa/OTTF8OHDMWDAAJw6dQrr16/HU089hVatWlVqXUSWFBQUhPHjx2P8+PH47bff8PTTT2PBggWIj4+v8JHiio4xCoUC69evx4ABAzBkyBB888030h3S/Pz84OHhgdLSUsTExFQ+QSIL27JlCxITE/H3v/9daispKdF7XlZ4eHi5+znaszueXPbJo9aA8b/94eHh+P7779GzZ89Kf6avXr2K7t27S+2PHj3CtWvXdL44qci+jLOzM/r164d+/fpBo9Fg/Pjx+PjjjzFr1iw0bty4UmepmLrfUZX3w5iy3nshBMLCwqQjeebi7u6Ol156CS+99BIePnyIQYMGYcGCBZgxYwZcXFwqnJuPjw9GjhyJkSNH4v79++jatSuSk5NrbNHG0yPNxMHBAQMHDsS///1vZGVl6U039O3GrFmzMHXqVMyYMQOrVq2S2oOCgtC+fXusXbtW5/B8RkaGdH5zWbTfjDze58OHD/HRRx/pzZuTk4Np06Zh8ODBmDlzJv72t7/h66+/xrp16yrcx4kTJ3Ds2LFy4zNEW4w8Och37NgR/v7+WL16tc5tbb/55htcvHgRffv2rVR/hvTp0wcnT57UyaGoqAiffPIJGjZsKF1PGBcXh19//RVff/21NF9JSUmFHvpYkW0E/PnHRnt7YO28H3/8Mfz8/NChQweT+31cfHw86tati0WLFuHQoUM8ykayV1paqnfqsL+/P4KDg6Xxwd3dvUKnaFdmjHF2dsa2bdvQqVMn9OvXDydPngTw5+d68ODB2Lp1q8EdW0OP2SCSA0dHR739lBUrVugdHRs8eDC+//57g48g0i6vvZbq8OHD0rTS0lJ88sknessY+7wOHToUv/76q8G/qw8ePEBRUZHRXDp27AhfX198+umnePTokdS+fv16vdMDTd2Xyc/P13nt4OAgFX+Pjz2A/n5MWUzd76jK+2GMsXgHDRoER0dHpKSk6P1OCCH03gtTPbmcs7MzWrZsCSEE1Gp1mTGZsr7atWujcePGJj8SwhbxSJsZvf/++0hPT0e3bt2kW7LeunULmzdvxpEjRwzeNnrJkiW4e/cukpKS4OHhIe04p6amom/fvujcuTNGjRqFO3fuSM+30D4LyJhnn30WderUQWJiIt58800oFAr861//MvjhGzVqFFxdXaWicdy4cdi6dSveeustxMTEIDg42GAfzz//PLZt24YXXngBffv2RU5ODlavXo2WLVuWG58h4eHh8Pb2xurVq+Hh4QF3d3dERkYiLCwMixYtwsiRI9GtWzcMGzZMuh13w4YNMXny5Ar3Zcw777yDL7/8EvHx8XjzzTfh4+ODtWvXIicnB1u3boWDw5/fcYwbNw4ffvghhg0bhrfeegtBQUFYv369dBMDU74pMnUbaQUHB2PRokW4du0amjZtiq+++gpnz57FJ598UumHTTo5OSEhIQEffvghHB0dMWzYsEqth8hS7t27h/r16+PFF19Eu3btULt2bezfvx+nTp2SjhB06NABX331FaZMmYJOnTqhdu3a6Nevn9F1Ojk5VWqMcXV1xa5du9CjRw/Ex8fj0KFDaN26NRYuXIiDBw8iMjISY8aMQcuWLXHnzh2cOXMG+/fvx507d6rlvSGqiueffx7/+te/4OXlhZYtW+LYsWPYv38/fH19deabNm0atmzZgiFDhmDUqFHo0KED7ty5g6+//hqrV69Gu3bt0KpVKzzzzDOYMWMG7ty5Ax8fH2zcuFGngNIy9nl97bXXsGnTJvzlL3/BwYMH8dxzz6G0tBSXLl3Cpk2bpOedGeLs7Izk5GRMnDgRPXr0wNChQ3Ht2jWkpaXpXY9u6r7M66+/jjt37qBHjx6oX78+rl+/jhUrVqB9+/bS9Wft27eHo6MjFi1ahLt370KpVKJHjx7w9/c3+r6but9RlffDGO0Xvu+++y4SEhLg5OSEfv36ITw8HPPnz8eMGTOkRyV4eHggJycH27dvx9ixYzF16tQK9QUAsbGxCAwMxHPPPYeAgABcvHgRH374Ifr27QsPD48yY3rymn4AaNmyJaKjo9GhQwf4+PggKytLehxMjWXRe1XagevXr4vhw4cLPz8/oVQqRaNGjURSUpJ0S9nHb/mvVVpaKoYNGyZq1aqlcxv5rVu3ihYtWgilUilatmwptm3bJhITE0265f/Ro0fFM888I1xdXUVwcLCYPn262Ldvn87taLW3gt+6davOsj///LPw9PQUffr0kdqevHWrRqMR77//vggNDRVKpVI89dRTYteuXQbjgwm3/BdCiJ07d4qWLVuKWrVq6d3+/6uvvhJPPfWUUCqVwsfHR7zyyivixo0bOss/fjvux3Xr1s3gbWZDQ0P1bhebnZ0tXnzxReHt7S1cXFxERESE2LVrl96yP/30k+jbt69wdXUVfn5+4q9//avYunWrACCOHz9ebt9CmLaNHl9HVlaWiIqKEi4uLiI0NFR8+OGHOuvT3k558+bNOu05OTkGH6cghBAnT54UAERsbKzBGInkRKVSiWnTpol27doJDw8P4e7uLtq1ayc++ugjaZ779++Ll19+WXh7e+s8IsXY50OrsmPM7du3RcuWLUVgYKC4cuWKEEKIvLw8kZSUJEJCQoSTk5MIDAwUPXv2FJ988okZ3w0i8/njjz/EyJEjRd26dUXt2rVFXFycuHTpkt5t1oUQIj8/X0yYMEHUq1dPODs7i/r164vExESdx1xkZ2eLmJgYoVQqRUBAgJg5c6bIyMjQ+/tm7PMqxJ+P41i0aJFo1aqVUCqVok6dOqJDhw4iJSVF3L17t9ycli9fLu2jREREiKNHj4oOHTqI3r17S/OYui+zZcsWERsbK/z9/YWzs7No0KCBGDdunLh165ZOn59++qlo1KiRcHR01MnV0P7G4++VKfsdpr4fAAw+FsXQtpw3b56oV6+ecHBw0LvV/tatW0Xnzp2Fu7u7cHd3F82bNxdJSUni8uXL0jxl7eM8ud/48ccfi65duwpfX1+hVCpFeHi4mDZtmt62NBbTk/HPnz9fRERECG9vb+Hq6iqaN28uFixYID0GqSZSCGGBOzEQ2YFly5Zh8uTJuHHjht4dQasiOjoat2/fNvl6yYr4/vvv0b59e6xbtw6vvfaa2ddPREQkBxqNBn5+fhg0aFCFLmcgkgte00ZUCQ8ePNB5XVJSgo8//hhNmjQxa8FW3T799FPUrl0bgwYNsnYoREREZlFSUqJ3ucG6detw584d6cZBRLaG17QRVcKgQYPQoEEDtG/fHnfv3sUXX3yBS5cuSc89k7t///vfuHDhAj755BNMmDDB4PniREREtuj48eOYPHkyhgwZAl9fX5w5cwafffYZWrdujSFDhlg7PKJKYdFGVAlxcXH45z//ifXr16O0tBQtW7bExo0b8dJLL1k7NJNMnDgReXl56NOnT6Wej0JERCRXDRs2REhICJYvXy7dDGX48OFYuHChSQ+CJpIjXtNGREREREQkY7ymjYiIiIiISMbs/vRIjUaDmzdvwsPDw2xPmSeiP58DeO/ePQQHB0vPmrE3HF+IqgfHF44vRNVFruOL3RdtN2/eREhIiLXDIKqxfvnlF9SvX9/aYVgFxxei6sXxheMLUXWR2/hi90Wb9insv/zyCzw9PY3Op1arkZ6ejtjYWDg5OVkqPLNiDvJgLzkUFhYiJCRE+ozZI44vtoU5yAPHF9NwfLEttp6DrccPmJ6DXMcXuy/atKcUeHp6ljvoubm5wdPT06Z/WZmD9dlbDvZ82g7HF9vCHOSB44tpOL7YFlvPwdbjByqeg9zGF/mcqElERERERER6WLQRERERERHJGIs2IiIiIiIiGWPRRkREREREJGMs2oiIiIiIiGTM7u8eWVGtk/dBVWqeu8lcW9jXLOshoprBXOMLxxYiehLHFyLbxiNtREREREREMsaijYiIiIiISMZYtBEREREREckYizYiIiIiIiIZY9FGREREREQkYyzaiIiIiIiIZIxFGxERERERkYyxaCMiIiIiIpIxFm1EZJdSU1PRqVMneHh4wN/fHwMHDsTly5d15omOjoZCodD5+ctf/mKliImIiMhesWgjIrt06NAhJCUl4fjx48jIyIBarUZsbCyKiop05hszZgxu3bol/SxevNhKERMREZG9qmXtAMqSmpqKbdu24dKlS3B1dcWzzz6LRYsWoVmzZtI8JSUl+Otf/4qNGzdCpVIhLi4OH330EQICAqwYORHJ3d69e3Vep6Wlwd/fH6dPn0bXrl2ldjc3NwQGBpq0TpVKBZVKJb0uLCwEAKjVaqjVaqPLaacpHYTJ8ZelrL6qi7ZPa/RtLsxBHkzJwZbzIyKqDFkXbdpvwjt16oRHjx5h5syZiI2NxYULF+Du7g4AmDx5Mnbv3o3NmzfDy8sLEyZMwKBBg3D06FErR09EtuTu3bsAAB8fH5329evX44svvkBgYCD69euHWbNmwc3NzeA6UlNTkZKSoteenp5udJnHzeuoqUTk+vbs2WOW9VRGRkaG1fo2F+YgD2XlUFxcbMFIiIisT9ZFW3nfhN+9exefffYZNmzYgB49egAA1qxZgxYtWuD48eN45plnrBE2EdkYjUaDSZMm4bnnnkPr1q2l9pdffhmhoaEIDg7GuXPn8Pbbb+Py5cvYtm2bwfXMmDEDU6ZMkV4XFhYiJCQEsbGx8PT0NNq/Wq1GRkYGZmU5QKVRVDmf88lxVV5HRWlz6NWrF5ycnCzevzkwB3kwJQftUWwiInsh66LtSU9+E3769Gmo1WrExMRI8zRv3hwNGjTAsWPHDBZtcjl96fF1Woq9nDYjd/aSgy3ll5SUhPPnz+PIkSM67WPHjpX+36ZNGwQFBaFnz57Izs5GeHi43nqUSiWUSqVeu5OTk0k70CqNAqrSqhdt1txZNzVXOWMO8lBWDraeGxFRRdlM0Wbom/Dc3Fw4OzvD29tbZ96AgADk5uYaXI9cTl8CrHcKU00/bcZW1PQcbOX0pQkTJmDXrl04fPgw6tevX+a8kZGRAICrV68aLNqIiIiIqoPNFG3GvgmvKLmcvgRY/hQmezltRu7sJQe5n74khMDEiROxfft2ZGZmIiwsrNxlzp49CwAICgqq5uiIyJYdPnwYS5YswenTp3Hr1i1s374dAwcOlKaPGDECa9eu1VkmLi5O77IQIiItmyjajH0THhgYiIcPH6KgoEDnaFteXp7Ru73J5fQlbZ/WUNNPm7EVNT0HueeWlJSEDRs2YOfOnfDw8JCOznt5ecHV1RXZ2dnYsGED+vTpA19fX5w7dw6TJ09G165d0bZtWytHT0RyVlRUhHbt2mHUqFEYNGiQwXl69+6NNWvWSK8N7ZsQEWnJumgr75vwDh06wMnJCQcOHMDgwYMBAJcvX8bPP/+MqKgoa4RMRDZi1apVAP58gPbj1qxZgxEjRsDZ2Rn79+/HsmXLUFRUhJCQEAwePBjvvfeeFaIlIlsSHx+P+Pj4MudRKpUmP04EkM81+XykSOXYeg62Hj9geg5yzVHWRVt534R7eXlh9OjRmDJlCnx8fODp6YmJEyciKiqKd44kojIJUfYOTEhICA4dOmShaIjI3mRmZsLf3x916tRBjx49MH/+fPj6+hqdXy7X5PORIlVj6znYevxA+TnI9Zp8WRdt5X0TDgBLly6Fg4MDBg8erPNwbSIiIiI56t27NwYNGoSwsDBkZ2dj5syZiI+Px7Fjx+Do6GhwGblck89HilSOredg6/EDpucg12vyZV20lfdNOAC4uLhg5cqVWLlypQUiIiIiIqqahIQE6f9t2rRB27ZtER4ejszMTPTs2dPgMnK5Jp+PFKkaW8/B1uMHys9Brvk5WDsAIiIiInvWqFEj1K1bF1evXrV2KEQkUyzaiIiIiKzoxo0byM/P5+NEiMgoWZ8eSURERGRr7t+/r3PULCcnB2fPnoWPjw98fHyQkpKCwYMHIzAwENnZ2Zg+fToaN26MuDjLXy9GRLaBRRsRERGRGWVlZaF79+7Sa+0NRBITE7Fq1SqcO3cOa9euRUFBAYKDgxEbG4t58+bxWW1EZBSLNiIiIiIzio6OLvNmavv27bNgNERUE/CaNiIiIiIiIhlj0UZERERERCRjLNqIiIiIiIhkjEUbERERERGRjLFoIyIiIiIikjEWbURERERERDLGoo2IiIiIiEjGWLQRERERERHJGIs2IiIiIiIiGWPRRkREREREJGMs2oiIiIiIiGSMRRsREREREZGMsWgjIruUmpqKTp06wcPDA/7+/hg4cCAuX76sM09JSQmSkpLg6+uL2rVrY/DgwcjLy7NSxERERGSvWLQRkV06dOgQkpKScPz4cWRkZECtViM2NhZFRUXSPJMnT8a///1vbN68GYcOHcLNmzcxaNAgK0ZNRERE9qiWtQMgIrKGvXv36rxOS0uDv78/Tp8+ja5du+Lu3bv47LPPsGHDBvTo0QMAsGbNGrRo0QLHjx/HM888Y42wiYiIyA6xaCMiAnD37l0AgI+PDwDg9OnTUKvViImJkeZp3rw5GjRogGPHjhks2lQqFVQqlfS6sLAQAKBWq6FWq432rZ2mdBBVT+Sx9VmStk9r9G0uzEEeTMnBlvMjIqoMFm1EZPc0Gg0mTZqE5557Dq1btwYA5ObmwtnZGd7e3jrzBgQEIDc31+B6UlNTkZKSoteenp4ONze3cuOY11FT8eAN2LNnj1nWUxkZGRlW69tcmIM8lJVDcXGxBSMhIrI+Fm1EZPeSkpJw/vx5HDlypErrmTFjBqZMmSK9LiwsREhICGJjY+Hp6Wl0ObVajYyMDMzKcoBKo6hSDABwPjmuyuuoKG0OvXr1gpOTk8X7NwfmIA+m5KA9ik1EZC9YtBGRXZswYQJ27dqFw4cPo379+lJ7YGAgHj58iIKCAp2jbXl5eQgMDDS4LqVSCaVSqdfu5ORk0g60SqOAqrTqRZs1d9ZNzVXOmIM8lJWDredGRFRRvHskEdklIQQmTJiA7du34z//+Q/CwsJ0pnfo0AFOTk44cOCA1Hb58mX8/PPPiIqKsnS4REREZMd4pI2I7FJSUhI2bNiAnTt3wsPDQ7pOzcvLC66urvDy8sLo0aMxZcoU+Pj4wNPTExMnTkRUVBTvHElEREQWJeui7fDhw1iyZAlOnz6NW7duYfv27Rg4cKA0fcSIEVi7dq3OMnFxcXq38iYietKqVasAANHR0Trta9aswYgRIwAAS5cuhYODAwYPHgyVSoW4uDh89NFHFo6UiIjIfjV8Z7dZ1qN0FFgcYZZVWYWsi7aioiK0a9cOo0aNMvpA2969e2PNmjXSa0PXkxARPUmI8m+v7+LigpUrV2LlypUWiIiIiIjIMFkXbfHx8YiPjy9zHqVSafSmAERERERERLZO1kWbKTIzM+Hv7486deqgR48emD9/Pnx9fY3OL5eH3z6+Tkuxl4euyp295GDL+RERERHJiU0Xbb1798agQYMQFhaG7OxszJw5E/Hx8Th27BgcHR0NLiOXh98C1nsAbk1/6KqtqOk58OG3REREROZh00VbQkKC9P82bdqgbdu2CA8PR2ZmJnr27GlwGbk8/Baw/ANw7eWhq3JnLznw4bdERERE5mHTRduTGjVqhLp16+Lq1atGiza5PPxW26c11PSHrtqKmp6DredGREREJBc16uHaN27cQH5+PoKCgqwdChERERERkVnI+kjb/fv3cfXqVel1Tk4Ozp49Cx8fH/j4+CAlJQWDBw9GYGAgsrOzMX36dDRu3BhxcZY97ZCIiIiIiKi6yLpoy8rKQvfu3aXX2mvREhMTsWrVKpw7dw5r165FQUEBgoODERsbi3nz5vFZbUREREREVGPIumiLjo4u8wG4+/bts2A0REREREREllejrmkjIiIiIiKqaVi0ERERERERyRiLNiIiIiIiIhlj0UZERERERCRjLNqIiIiIiIhkjEUbERERkRkdPnwY/fr1Q3BwMBQKBXbs2KEzXQiB2bNnIygoCK6uroiJicGVK1esEywR2QQWbURERERmVFRUhHbt2mHlypUGpy9evBjLly/H6tWrceLECbi7uyMuLg4lJSUWjpSIbIWsn9NGREREZGvi4+MRHx9vcJoQAsuWLcN7772HAQMGAADWrVuHgIAA7NixAwkJCQaXU6lUUKlU0uvCwkIAgFqthlqtNhqLdprSwfhzbyuirL6qi7ZPa/RtLraegzXjVzqa53dX+xkoLwe5biMWbUREREQWkpOTg9zcXMTExEhtXl5eiIyMxLFjx4wWbampqUhJSdFrT09Ph5ubW7n9zuuoqXzQj9mzZ49Z1lMZGRkZVuvbXGw9B2vEvzjCvOsrL4fi4mLzdmgmLNqIiIiILCQ3NxcAEBAQoNMeEBAgTTNkxowZmDJlivS6sLAQISEhiI2Nhaenp9Hl1Go1MjIyMCvLASqNoorRA+eT46q8jorS5tCrVy84OTlZvH9zsPUcrBl/6+R9ZlmP0kFgXkdNuTloj2LLDYs2IrJLhw8fxpIlS3D69GncunUL27dvx8CBA6XpI0aMwNq1a3WWiYuLw969ey0cKRERoFQqoVQq9dqdnJxM2olWaRRQlVa9aLNmwWFqrnJm6zlYI35z/N4+rrwc5Lp9eCMSIrJL5d0oAAB69+6NW7duST9ffvmlBSMkopooMDAQAJCXl6fTnpeXJ00jInoSj7QRkV0q60YBWkqlkjtRRGRWYWFhCAwMxIEDB9C+fXsAf56OdeLECbzxxhvWDY6IZItFGxGREZmZmfD390edOnXQo0cPzJ8/H76+vkbn593d5HvXLVMwB3kwJQe553f//n1cvXpVep2Tk4OzZ8/Cx8cHDRo0wKRJkzB//nw0adIEYWFhmDVrFoKDg3VO0SYiehyLNiIiA3r37o1BgwYhLCwM2dnZmDlzJuLj43Hs2DE4OjoaXIZ3d7P9O6MBzEEuyspBrnd308rKykL37t2l19obiCQmJiItLQ3Tp09HUVERxo4di4KCAnTu3Bl79+6Fi4uLtUImIplj0UZEZMDjt91u06YN2rZti/DwcGRmZqJnz54Gl+Hd3Wz3zmgAc5ALU3KQ693dtKKjoyGE8SPnCoUCc+fOxdy5cy0YFRHZMhZtREQmaNSoEerWrYurV68aLdp4dzfbvzMawBzkoqwcbD03IqKK4t0jiYhMcOPGDeTn5yMoKMjaoRAREZGd4ZE2IrJLZd0owMfHBykpKRg8eDACAwORnZ2N6dOno3HjxoiLs/yph0RERGTfWLQRkV0q60YBq1atwrlz57B27VoUFBQgODgYsbGxmDdvnsHTH4mIiIiqE4s2IrJL5d0oYN++fRaMhoiIiMg4XtNGREREREQkYyzaiIiIiIiIZIxFGxERERERkYyxaCMiIiIiIpIxFm1EREREREQyJuui7fDhw+jXrx+Cg4OhUCiwY8cOnelCCMyePRtBQUFwdXVFTEwMrly5Yp1giYiIiIiIqoGsi7aioiK0a9cOK1euNDh98eLFWL58OVavXo0TJ07A3d0dcXFxKCkpsXCkRERERERE1UPWz2mLj49HfHy8wWlCCCxbtgzvvfceBgwYAABYt24dAgICsGPHDiQkJFgyVCIiIiIiomoh66KtLDk5OcjNzUVMTIzU5uXlhcjISBw7dsxo0aZSqaBSqaTXhYWFAAC1Wg21Wm20P+00pYPxh/FWVFn9VQdtf5bu15yYgzyYkoMt50dEREQkJzZbtOXm5gIAAgICdNoDAgKkaYakpqYiJSVFrz09PR1ubm7l9juvo6aCkRq3Z88es62rIjIyMqzSrzkxB3koK4fi4mILRkJERERUc9ls0VZZM2bMwJQpU6TXhYWFCAkJQWxsLDw9PY0up1arkZGRgVlZDlBpFGaJ5XxynFnWYyptDr169YKTk5NF+zYX5iAPpuSgPYpNRERERFVjs0VbYGAgACAvLw9BQUFSe15eHtq3b290OaVSCaVSqdfu5ORk0g60SqOAqtQ8RZu1dthNzVXOmIM8lJWDredGREREJBeyvntkWcLCwhAYGIgDBw5IbYWFhThx4gSioqKsGBkREREREZH5yPpI2/3793H16lXpdU5ODs6ePQsfHx80aNAAkyZNwvz589GkSROEhYVh1qxZCA4OxsCBA60XNBERERERkRnJumjLyspC9+7dpdfaa9ESExORlpaG6dOno6ioCGPHjkVBQQE6d+6MvXv3wsXFxVohExERERERmZWsi7bo6GgIYfwW+wqFAnPnzsXcuXMtGBUREREREZHl2Ow1bURERERERPaARRsREREREZGMsWgjIiIiIiKSMRZtRGSXDh8+jH79+iE4OBgKhQI7duzQmS6EwOzZsxEUFARXV1fExMTgypUr1gmWiIiI7BqLNiKyS0VFRWjXrh1WrlxpcPrixYuxfPlyrF69GidOnIC7uzvi4uJQUlJi4UiJiIjI3sn67pFERNUlPj4e8fHxBqcJIbBs2TK89957GDBgAABg3bp1CAgIwI4dO5CQkGDJUImIiMjOsWgjInpCTk4OcnNzERMTI7V5eXkhMjISx44dM1q0qVQqqFQq6XVhYSEAQK1WQ61WG+1PO03pYPwRJxVRVl/VRdunNfo2F+YgD6bkYMv5ERFVBos2IqIn5ObmAgACAgJ02gMCAqRphqSmpiIlJUWvPT09HW5ubuX2O6+jpoKRGrZnzx6zrKcyMjIyrNa3uTAHeSgrh+LiYgtGQkRkfSzaiIjMZMaMGZgyZYr0urCwECEhIYiNjYWnp6fR5dRqNTIyMjArywEqjaLKcZxPjqvyOipKm0OvXr3g5ORk8f7NgTnIgyk5aI9iExHZCxZtRERPCAwMBADk5eUhKChIas/Ly0P79u2NLqdUKqFUKvXanZycTNqBVmkUUJVWvWiz5s66qbnKGXOQh7JysPXciIgqinePJCJ6QlhYGAIDA3HgwAGprbCwECdOnEBUVJQVIyMiIiJ7xCNtRGSX7t+/j6tXr0qvc3JycPbsWfj4+KBBgwaYNGkS5s+fjyZNmiAsLAyzZs1CcHAwBg4caL2giYiIyC6xaCMiu5SVlYXu3btLr7XXoiUmJiItLQ3Tp09HUVERxo4di4KCAnTu3Bl79+6Fi4uLtUImIiIiO8WijYjsUnR0NIQwfot9hUKBuXPnYu7cuRaMioiIiEgfr2kjIiIiIiKSMR5pI7ITDd/ZbbZ1KR0FFkeYbXVEREREVAYeaSMiIiKyoOTkZCgUCp2f5s2bWzssIpIxHmkjIiIisrBWrVph//790utatbhLRkTGcYQgIiIisrBatWohMDDQ5PlVKhVUKpX0urCwEACgVquhVquNLqedpnQwfuOliiirr+qi7dMafZuLredgzfiVjub53dV+BsrLQa7biEUbERERkYVduXIFwcHBcHFxQVRUFFJTU9GgQQOj86empiIlJUWvPT09HW5ubuX2N6+jpkrxau3Zs8cs66mMjIwMq/VtLraegzXiN/c19OXlUFxcbN4OzYRFGxEREZEFRUZGIi0tDc2aNcOtW7eQkpKCLl264Pz58/Dw8DC4zIwZM6TnSQJ/HmkLCQlBbGwsPD09jfalVquRkZGBWVkOUGkUVY79fHJclddRUdocevXqBScnJ4v3bw62noM142+dvM8s61E6CMzrqCk3B+1RbLlh0UZERERkQfHx8dL/27Zti8jISISGhmLTpk0YPXq0wWWUSiWUSqVeu5OTk0k70SqNAqrSqhdt1iw4TM1Vzmw9B2vEb47f28eVl4Nctw/vHklERERkRd7e3mjatCmuXr1q7VCISKZYtBERERFZ0f3795GdnY2goCBrh0JEMsWijYiIiMiCpk6dikOHDuHatWv49ttv8cILL8DR0RHDhg2zdmhEJFO8po2IiIjIgm7cuIFhw4YhPz8ffn5+6Ny5M44fPw4/Pz9rh0ZEMmXzRVtycrLeLXCbNWuGS5cuWSkiIiIiIuM2btxo7RCIyMbYfNEGAK1atcL+/ful17Vq1Yi0iIiIiIiIakbRVqtWLQQGBlo7DCIiIiIiIrOrEUXblStXEBwcDBcXF0RFRSE1NRUNGjQwOK9KpYJKpZJeax+gp1aroVarjfahnaZ0EGaLu6z+qoO2P0v3a07MofKUjub73dV+Dkz5zBARERFR1dh80RYZGYm0tDQ0a9YMt27dQkpKCrp06YLz58/Dw8NDb/7U1FS9a+AAID09HW5ubuX2N6+jxixxA8CePXvMtq6KyMjIsEq/5sQcKm5xhPnXWVYOxcXF5u+QiIiIyA7ZfNEWHx8v/b9t27aIjIxEaGgoNm3ahNGjR+vNP2PGDEyZMkV6XVhYiJCQEMTGxsLT09NoP2q1GhkZGZiV5QCVxjxPZj+fHGeW9ZhKm0OvXr1k+7T38jCHymudvM9s61I6CMzrqCkzB+1RbCIiIiKqGpsv2p7k7e2Npk2b4urVqwanK5VKKJVKvXYnJyeTdqBVGgVUpeYp2qxVdJiaq5wxh4oz1+/t48rKwda3DxEREZFc1LiHa9+/fx/Z2dkICgqydihEZOOSk5OhUCh0fpo3b27tsIiIiMjO2PyRtqlTp6Jfv34IDQ3FzZs3MWfOHDg6OmLYsGHWDo2IagA+UoSIiIiszeb3Pm7cuIFhw4YhPz8ffn5+6Ny5M44fPw4/Pz9rh0ZENQAfKUJERETWZvNF28aNG60dAhHVYLb4SBFrPG6Bj+OQB3vJwZbzIyKqDJsv2oiIqoutPlLEWo8TAfg4Drmo6TnwkSJEZG9YtBERGWGrjxSx9ONEAD6OQy7sJQc+UoSI7A2LNiIiE9nKI0WsubPOx3HIQ03PwdZzIyKqqBp3y38iourCR4oQERGRNbBoIyIyYurUqTh06BCuXbuGb7/9Fi+88AIfKUJEREQWx9MjiYiM4CNFiIiISA5YtBERGcFHihAREZEc8PRIIiIiIiIiGWPRRkREREREJGMs2oiIiIiIiGSMRRsREREREZGMsWgjIiIiIiKSMRZtREREREREMsaijYiIiIiISMZYtBEREREREckYizYiIiIiIiIZY9FGREREREQkYyzaiIiIiIiIZKyWtQMgIiIi29bwnd1mW5fSUWBxhNlWR0RUI/BIGxERERERkYyxaCMiIiIiIpIxFm1EREREREQyxqKNiIiIiIhIxli0ERERERERyRiLNiIiIiIiIhlj0UZERERERCRjLNqIiIiIiIhkrMYUbStXrkTDhg3h4uKCyMhInDx50tohEVENwLGFiKoLxxciMlWNKNq++uorTJkyBXPmzMGZM2fQrl07xMXF4bfffrN2aERkwzi2EFF14fhCRBVRy9oBmMM//vEPjBkzBiNHjgQArF69Grt378bnn3+Od955R2delUoFlUolvb579y4A4M6dO1Cr1Ub7UKvVKC4uRi21A0o1CrPEnZ+fb5b1mEqbQ35+PpycnCzat7kwh8qr9ajIfOvSCBQXa8rM4d69ewAAIYTZ+rW0iowtgHzGF0uPLQA/m3LB8cV2cHwxHT+b1mfN+M01vpgytgAyHl+EjVOpVMLR0VFs375dp3348OGif//+evPPmTNHAOAPf/hjoZ9ffvnFQqOBeVV0bBGC4wt/+GPpH44v/OEPf6rrR27ji80fabt9+zZKS0sREBCg0x4QEIBLly7pzT9jxgxMmTJFeq3RaHDnzh34+vpCoTD+DVRhYSFCQkLwyy+/wNPT03wJWBBzkAd7yUEIgXv37iE4ONjC0ZlHRccWgOMLc7A+e8mB4wvHF1tj6znYevyA6TnIdXyx+aKtopRKJZRKpU6bt7e3yct7enra7C+rFnOQB3vIwcvLy4LRWB/HF+YgF/aQA8cXji+2yNZzsPX4AdNykOP4YvM3Iqlbty4cHR2Rl5en056Xl4fAwEArRUVEto5jCxFVF44vRFRRNl+0OTs7o0OHDjhw4IDUptFocODAAURFRVkxMiKyZRxbiKi6cHwhooqqEadHTpkyBYmJiejYsSMiIiKwbNkyFBUVSXdkMgelUok5c+bonZpgS5iDPDAH22GJsQWoGe8nc5AH5mA7OL6YjjlYn63HD9h+Dgoh5HY/y8r58MMPsWTJEuTm5qJ9+/ZYvnw5IiMjrR0WEdk4ji1EVF04vhCRqWpM0UZERERERFQT2fw1bURERERERDUZizYiIiIiIiIZY9FGREREREQkYyzaiIiIiIiIZMyui7aVK1eiYcOGcHFxQWRkJE6ePFnm/Js3b0bz5s3h4uKCNm3aYM+ePTrThRCYPXs2goKC4OrqipiYGFy5ckUW8X/66afo0qUL6tSpgzp16iAmJkZv/hEjRkChUOj89O7du9rir2gOaWlpevG5uLjozGPpbVDRHKKjo/VyUCgU6Nu3rzSPpbfD4cOH0a9fPwQHB0OhUGDHjh3lLpOZmYmnn34aSqUSjRs3Rlpamt48Ff181SS2PrYAHF84vpgHxxfz4/jC8cUaOXB8kQFhpzZu3CicnZ3F559/Ln788UcxZswY4e3tLfLy8gzOf/ToUeHo6CgWL14sLly4IN577z3h5OQkfvjhB2mehQsXCi8vL7Fjxw7x/fffi/79+4uwsDDx4MEDq8f/8ssvi5UrV4rvvvtOXLx4UYwYMUJ4eXmJGzduSPMkJiaK3r17i1u3bkk/d+7cMXvslc1hzZo1wtPTUye+3NxcnXksuQ0qk0N+fr5O/OfPnxeOjo5izZo10jyW3g579uwR7777rti2bZsAILZv317m/D/99JNwc3MTU6ZMERcuXBArVqwQjo6OYu/evdI8FX1fahJbH1sqkwPHF3lsB44vHF+exPGlenB84fhiDXZbtEVERIikpCTpdWlpqQgODhapqakG5x86dKjo27evTltkZKQYN26cEEIIjUYjAgMDxZIlS6TpBQUFQqlUii+//NLq8T/p0aNHwsPDQ6xdu1ZqS0xMFAMGDDB3qEZVNIc1a9YILy8vo+uz9DYQourbYenSpcLDw0Pcv39farP0dnicKYPe9OnTRatWrXTaXnrpJREXFye9rur7YstsfWwRguOLIba4HTi+1DwcXzi+mAvHlz/Z0vhil6dHPnz4EKdPn0ZMTIzU5uDggJiYGBw7dszgMseOHdOZHwDi4uKk+XNycpCbm6szj5eXFyIjI42u05LxP6m4uBhqtRo+Pj467ZmZmfD390ezZs3wxhtvID8/36yxa1U2h/v37yM0NBQhISEYMGAAfvzxR2maJbdBVXJ43GeffYaEhAS4u7vrtFtqO1RGeZ8Fc7wvtsrWx5bK5vAkji/Wy+FxHF9qFo4vf+L4Yr0cHsfxxfLssmi7ffs2SktLERAQoNMeEBCA3Nxcg8vk5uaWOb/234qss7IqE/+T3n77bQQHB+v8Yvbu3Rvr1q3DgQMHsGjRIhw6dAjx8fEoLS01a/xA5XJo1qwZPv/8c+zcuRNffPEFNBoNnn32Wdy4cQOAZbdBZXN43MmTJ3H+/Hm8/vrrOu2W3A6VYeyzUFhYiAcPHpjl99NW2frYAnB84fhiXRxfjOP48ieOL9bJ4XEcX6yjlrUDIMtbuHAhNm7ciMzMTJ0LYRMSEqT/t2nTBm3btkV4eDgyMzPRs2dPa4SqIyoqClFRUdLrZ599Fi1atMDHH3+MefPmWTGyyvnss8/Qpk0bRERE6LTLfTsQlYXjizxwfKGaiOOLPHB8sQ67PNJWt25dODo6Ii8vT6c9Ly8PgYGBBpcJDAwsc37tvxVZZ2VVJn6tv/3tb1i4cCHS09PRtm3bMudt1KgR6tati6tXr1Y55idVJQctJycnPPXUU1J8ltwGQNVyKCoqwsaNGzF69Ohy+6nO7VAZxj4Lnp6ecHV1Ncu2tVW2PrYAHF+0OL5YB8cX4zi+cHwxF44v/8+Wxhe7LNqcnZ3RoUMHHDhwQGrTaDQ4cOCAzjchj4uKitKZHwAyMjKk+cPCwhAYGKgzT2FhIU6cOGF0nZaMHwAWL16MefPmYe/evejYsWO5/dy4cQP5+fkICgoyS9yPq2wOjystLcUPP/wgxWfJbQBULYfNmzdDpVLh1VdfLbef6twOlVHeZ8Ec29ZW2frYUtkcAI4v5sbx5f9xfPkTxxeOL+bC8eX/2dT4Yu07oVjLxo0bhVKpFGlpaeLChQti7NixwtvbW7oF62uvvSbeeecdaf6jR4+KWrVqib/97W/i4sWLYs6cOQZvm+vt7S127twpzp07JwYMGFCtt/yvSPwLFy4Uzs7OYsuWLTq3Yr13754QQoh79+6JqVOnimPHjomcnByxf/9+8fTTT4smTZqIkpISs8dfmRxSUlLEvn37RHZ2tjh9+rRISEgQLi4u4scff9TJ01LboDI5aHXu3Fm89NJLeu3W2A737t0T3333nfjuu+8EAPGPf/xDfPfdd+L69etCCCHeeecd8dprr0nza2+ZO23aNHHx4kWxcuVKg7fMLet9qclsfWypTA4cX+SxHbQ4vtRcHF84vlgrBy2OL9Zjt0WbEEKsWLFCNGjQQDg7O4uIiAhx/PhxaVq3bt1EYmKizvybNm0STZs2Fc7OzqJVq1Zi9+7dOtM1Go2YNWuWCAgIEEqlUvTs2VNcvnxZFvGHhoYKAHo/c+bMEUIIUVxcLGJjY4Wfn59wcnISoaGhYsyYMdX+S1qRHCZNmiTNGxAQIPr06SPOnDmjsz5Lb4OK5iCEEJcuXRIARHp6ut66rLEdDh48aPB3Qxt3YmKi6Natm94y7du3F87OzqJRo0Y6z2nRKut9qelsfWypaA4cX+SRgxAcX+wBxxeOL9bIQQiOL9amEEKI6j2WR0RERERERJVll9e0ERERERER2QoWbURERERERDLGoo2IiIiIiEjGWLQRERERERHJGIs2IiIiIiIiGWPRRkREREREJGMs2oiIiIiIiGSMRRsREREREZGMsWgjIiIiIiKSMRZtREREREREMsaijYiIiIiISMb+DxKHrSg+hmavAAAAAElFTkSuQmCC\n"
},
"metadata": {}
}
]
},
{
"cell_type": "code",
"source": [
"import pandas as pd\n",
"import seaborn as sns\n",
"import matplotlib.pyplot as plt\n",
"\n",
"# Load the data\n",
"data = pd.read_csv('dataset.csv') # Replace 'dataset.csv' with the actual file path\n",
"\n",
"# Get column names except for the last one ('cad')\n",
"column_names = data.columns[:-1]\n",
"\n",
"# Create countplots for each column with respect to 'Gender'\n",
"for col in column_names:\n",
" plt.figure(figsize=(8, 6))\n",
" sns.countplot(data=data, x=col, hue='Gender')\n",
" plt.title(f'{col} with respect to Gender')\n",
" plt.xlabel(col)\n",
" plt.ylabel('Count')\n",
" plt.legend(title='Gender', loc='upper right', labels=['Male', 'Female'])\n",
" plt.show()\n"
],
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 1000
},
"id": "JBh31RBNIe2c",
"outputId": "4d193105-6141-4f57-a8fb-b9752842e00b"
},
"execution_count": null,
"outputs": [
{
"output_type": "display_data",
"data": {
"text/plain": [
"<Figure size 800x600 with 1 Axes>"
],
"image/png": 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\n"
},
"metadata": {}
},
{
"output_type": "display_data",
"data": {
"text/plain": [
"<Figure size 800x600 with 1 Axes>"
],
"image/png": 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\n"
},
"metadata": {}
},
{
"output_type": "display_data",
"data": {
"text/plain": [
"<Figure size 800x600 with 1 Axes>"
],
"image/png": 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++mmrdu3alo+Pj+Xr62vdcccd1lNPPWXt2rWrwPaJiYnWoEGDrKpVq1re3t5WtWrVrJ49e1qfffaZY5v8y/9s3brV6bGFXUIqNzfXmjBhghUSEmL5+vpaHTt2tPbt22fVrFnT6fI/lmVZ58+ft+Lj463atWtbZcqUsSpXrmzddddd1ptvvmnl5ORYlvV/l/954403buh1GD16tCXJmjp1qtPy2rVrW5KsxMTEa34t6enp1p/+9CcrMDDQkuS4NFb+tpdfjip/1rlz5151tvzLYaWkpBS6/vPPP7fatWtn+fn5WX5+ftYdd9xhxcbGWgcPHrQsy7J++OEH67HHHrMiIyMtHx8fq2LFilanTp2sVatWOT2PJCs2Ntb6+OOPrTp16lh2u91q1qxZgUtPWZZlnT592oqNjbXCwsIsb29vq2rVqlbnzp2t2bNnO22XmZlpjRkzxoqIiHBs99BDDzm9nt99953VokULq0yZMtd1aawPPvjAqlWrluXp6VngezB9+nTrjjvusLy9va3g4GDr6aeftn799derPt/v8fMA3NpsllWEs8oBAG7HZrMpNja20H/aB4BbAee4AgAAwAiEKwAAAIxAuAIAAMAIXFUAAG4RvGUBwK2OI64AAAAwAuEKAAAAI9zypwrk5eXpp59+Uvny5Uv94xwBAABwbZZl6fz58woNDZWHx5WPq97y4frTTz8pLCzM1WMAAADgGk6cOOH0CXeXu+XDtXz58pJ+eyH8/f1dPA0AAAAul5aWprCwMEe3XcktH675pwf4+/sTrgAAAG7sWqd18uYsAAAAGIFwBQAAgBEIVwAAABjhlj/HFQAA3N5yc3N18eJFV49xW/P09JSXl9dNX5qUcAUAALes9PR0/fjjj3wkshsoW7asQkJCVKZMmSI/B+EKAABuSbm5ufrxxx9VtmxZBQUF8UFELmJZlnJycpSSkqKkpCTVqVPnqh8ycDWEKwAAuCVdvHhRlmUpKChIvr6+rh7ntubr6ytvb28dO3ZMOTk58vHxKdLz8OYsAABwS+NIq3so6lFWp+cohjkAAACAEke4AgAAwAiEKwAAgOE6duyokSNHunqMEke4AgAAFINTp07p2WefVe3ateXj46Pg4GC1bdtWs2bNUmZmpqvHuyVwVQEAAICb9MMPP6ht27YKDAzU5MmT1ahRI9ntdu3du1ezZ89WtWrV1KtXL1ePeUW5ubmy2WzF8gaqkuTe0wEAABjgmWeekZeXl7Zt26Z+/fqpXr16qlWrlu6//34tW7ZMMTExkqRz587piSeeUFBQkPz9/XXPPfdo9+7djucZP368mjZtqo8++kjh4eEKCAhQ//79df78ecc2GRkZGjRokMqVK6eQkBC99dZbBebJzs7WqFGjVK1aNfn5+al169Zau3atY/28efMUGBioJUuWqH79+rLb7Tp+/HjJvUDFhHAFAAC4Cb/88ou+/vprxcbGys/Pr9Bt8i/J1bdvXyUnJ2v58uXavn27mjdvrs6dO+vs2bOObRMTE7Vo0SItXbpUS5cu1bp16/Taa6851o8ePVrr1q3T4sWL9fXXX2vt2rXasWOH0/6GDRumjRs3asGCBdqzZ4/69u2rbt266fDhw45tMjMzNXXqVP3jH//Q999/rypVqhTny1IiOFUAAADgJhw5ckSWZalu3bpOyytXrqysrCxJUmxsrGJiYrRlyxYlJyfLbrdLkt58800tWrRIn332mYYOHSpJysvL07x581S+fHlJ0sCBA5WQkKBJkyYpPT1d//znP/Xxxx+rc+fOkqQPP/xQ1atXd+z3+PHjmjt3ro4fP67Q0FBJ0qhRo7RixQrNnTtXkydPlvTbBzTMnDlTTZo0KcFXp3gRrgAAACVgy5YtysvL04ABA5Sdna3du3crPT1dlSpVctruwoULSkxMdNwPDw93RKskhYSEKDk5WdJvR2NzcnLUunVrx/qKFSs6RfPevXuVm5urqKgop/1kZ2c77btMmTJq3Lhx8XyxpYRwBQAAuAm1a9eWzWbTwYMHnZbXqlVLkhwfN5uenq6QkBCnc03zBQYGOn7t7e3ttM5msykvL++650lPT5enp6e2b98uT09Pp3XlypVz/NrX19e4TxUjXAEAAG5CpUqVdO+992r69OkaPnz4Fc9zbd68uU6dOiUvLy+Fh4cXaV+RkZHy9vbW5s2bVaNGDUnSr7/+qkOHDunuu++WJDVr1ky5ublKTk5W+/bti7Qfd0W4lrAWo//l6hFQira/McjVIwAAXGDmzJlq27atWrZsqfHjx6tx48by8PDQ1q1bdeDAAbVo0ULR0dFq06aNevfurddff11RUVH66aeftGzZMvXp00ctW7a85n7KlSunxx9/XKNHj1alSpVUpUoVjRkzxukyVlFRURowYIAGDRqkt956S82aNVNKSooSEhLUuHFj9ejRoyRfihJFuAIAANykyMhI7dy5U5MnT1Z8fLx+/PFH2e121a9fX6NGjdIzzzwjm82mr776SmPGjNGQIUOUkpKiqlWrqkOHDgoODr7ufb3xxhtKT09XTEyMypcvr+eff16pqalO28ydO1cTJ07U888/r5MnT6py5cr6wx/+oJ49exb3l16qbJZlWa4eoiSlpaUpICBAqamp8vf3L/X9c8T19sIRVwBwH1lZWUpKSlJERIR8fHxcPc5t72rfj+vtNa7jCgAAACMQrgAAADAC4QoAAAAjEK4AAAAwAuEKAAAAIxCuAAAAMALhCgAAACMQrgAAADAC4QoAAAAj8JGvAADgtlLan2rp6k9VPHr0qCIiIrRz5041bdrUpbPcLI64AgAAuJlHH31UNptNTz31VIF1sbGxstlsevTRR0t/MBcjXAEAANxQWFiYFixYoAsXLjiWZWVlaf78+apRo4YLJ3MdwhUAAMANNW/eXGFhYfriiy8cy7744gvVqFFDzZo1cyxbsWKF2rVrp8DAQFWqVEk9e/ZUYmLiVZ9737596t69u8qVK6fg4GANHDhQZ86cKbGvpbgQrgAAAG7qscce09y5cx3358yZoyFDhjhtk5GRobi4OG3btk0JCQny8PBQnz59lJeXV+hznjt3Tvfcc4+aNWumbdu2acWKFTp9+rT69etXol9LceDNWQAAAG7qkUceUXx8vI4dOyZJ+vbbb7VgwQKtXbvWsc2DDz7o9Jg5c+YoKChI+/fvV8OGDQs85/Tp09WsWTNNnjzZ6TFhYWE6dOiQoqKiSuaLKQaEKwAAgJsKCgpSjx49NG/ePFmWpR49eqhy5cpO2xw+fFgvv/yyNm/erDNnzjiOtB4/frzQcN29e7fWrFmjcuXKFViXmJhIuAIAAKBoHnvsMQ0bNkySNGPGjALrY2JiVLNmTX3wwQcKDQ1VXl6eGjZsqJycnEKfLz09XTExMZo6dWqBdSEhIcU7fDEjXAEAANxYt27dlJOTI5vNpq5duzqt++WXX3Tw4EF98MEHat++vSTpm2++uerzNW/eXJ9//rnCw8Pl5WVWCvLmLAAAADfm6emp//3vf9q/f788PT2d1lWoUEGVKlXS7NmzdeTIEa1evVpxcXFXfb7Y2FidPXtWDz/8sLZu3arExEStXLlSQ4YMUW5ubkl+KTfNrMwGAAC4Sa7+JKui8Pf3L3S5h4eHFixYoBEjRqhhw4aqW7eu3nnnHXXs2PGKzxUaGqpvv/1WL774orp06aLs7GzVrFlT3bp1k4eHex/TJFwBAADczLx58666ftGiRY5fR0dHa//+/U7rLcty/Do8PNzpviTVqVPH6fqwpnDvrAYAAAD+H5eG6/r16xUTE6PQ0FDZbDan/3u43FNPPSWbzaZp06aV2nwAAABwHy4N14yMDDVp0qTQSzv83pdffqlNmzYpNDS0lCYDAACAu3HpOa7du3dX9+7dr7rNyZMnNXz4cK1cuVI9evQopckAAADgbtz6zVl5eXkaOHCgRo8erQYNGlzXY7Kzs5Wdne24n5aWVlLjAQAAoBS5dbhOnTpVXl5eGjFixHU/ZsqUKZowYUIJTgUAwO3j+CuNXD1CkV3yC9Glu15UTvIl2bx4P/r1sIde34FCV3Hb7+L27dv197//XfPmzZPNZrvux8XHxys1NdVxO3HiRAlOCQAAgNLituG6YcMGJScnq0aNGvLy8pKXl5eOHTum559/XuHh4Vd8nN1ul7+/v9MNAAAA5nPbUwUGDhyo6Ohop2Vdu3bVwIEDNWTIEBdNBQAAAFdxabimp6fryJEjjvtJSUnatWuXKlasqBo1aqhSpUpO23t7e6tq1aqqW7duaY8KAABuEaf/0b9U9xf8xIJS3V9JCQ8P18iRIzVy5EiXzeDScN22bZs6derkuB8XFydJGjx48DU/6gwAAOBW9cTIMfr408UFln//zVeKjKjhgoncg0vDtWPHjgU+O/dqjh49WnLDAAAAuJEundpp9tsTnZYFVargomncg9u+OQsAAOB2Zi9TRlWrVHa6eXp66v9buVp/6NpXAbWa64423TTx7Zm6dOmS43E+1Rrqg4/+oz6DnlGFyJZqcneMNm3bpcSk47r3oUdVsXYrdew1QIlHjzsek3j0uB4aMlzBwcEqV66cWrVqpVWrVl11vnPnzumJJ55QUFCQ/P39dc8992j37t0l9npIhCsAAIAxvtm8XY8/+xfFPv6Idq5ZrOlTX9ZH/1ms196Z7bTda9Pe14CHemnL15+pbu0IDR72omJfnKAXhj2p75YvkGVJz/11smP7jIxMdb2nvRISErRz505169ZNMTExOn78+OUjOPTt21fJyclavny5tm/frubNm6tz5846e/ZsiX39hCsAAIAb+mrVOlWq08px+9PQOE16e5ZGxT6ugf3uV62aYYrucJfGjR6mf378qdNjB/6xtx7q1U11IsP1/DOP69iJk+r/QA/d27Gt7qgTqdgnBmj9xq2O7Rs3uENPDuynhg0bqk6dOnr11VcVGRmpJUuWFDrbN998oy1btujTTz9Vy5YtVadOHb355psKDAzUZ599VmKvidteDgsAAOB2dvddrfTulJcd98uW9VWr6Ae0cdtOTf3dEdbcvDxlZWUr88IFlfX1lSQ1qhflWF8l6LerNDW8o87/LatcWVlZ2Uo7ny7/8uWUnpGpiW/N0Ip1m/Xzzz/r0qVLunDhwhWPuO7evVvp6ekFrgB14cIFJSYm3vwXfwWEKwAAgBvyK1u2wBUE0jMzNfb5WPXuHl1gex+73fFrb+//S7z8TyD19vL+3bLf/puXlydJeumVN5SwYaPe+ts7ql27tnx9ffXQQw8pJyen0NnS09MVEhKitWvXFlgXGBh4XV9fURCuAAAAhmjasJ4OJSYV+yWxNm7bpYF9e6tPnz6SfgvTq13NqXnz5jp16pS8vLyu+ommxY1wBQAAMMSY555Wn8GxCqsWogd6dJGHh0179h/U9weOaMKLI4r8vLUjamjx8lXqM2CXbDabxo4d6zgaW5jo6Gi1adNGvXv31uuvv66oqCj99NNPWrZsmfr06aOWLVsWeZarIVwBAMBtxeRPsrq3Y1t9+eEMTfrbLL01Y468vb1Ut3aEHn34wZt63qnjXtCf48bqrrvuUuXKlfXiiy8qLS3titvbbDZ99dVXGjNmjIYMGaKUlBRVrVpVHTp0UHBw8E3NcjU260Y+AcBAaWlpCggIUGpqqvz9/Ut9/y1G/6vU9wnX2f7GIFePAADF6vgrjVw9QpFd8gtRxl0vqma1KrJ7cSGl62EPbVBiz52VlaWkpCRFRETIx8fHad319hrfRQAAABiBcAUAAIARCFcAAAAYgXAFAACAEQhXAABwi/rtck639tvQzVEc1wMgXAEAwC3J42KmlHdJF/MoV3eQmZkpSfL29r7GllfGdVwBAMAtyZaTLo+U/+kXvwB5VfCTh83VE7k/Kyur+J/TspSZmank5GQFBgbK09OzyM9FuAIAgFuSTZbKHvxc5/3DdOJCgCTK9Vq8MkouDQMDA1W1atWbeg7CFQAA3LI8s88p4NtXledbSZat6Ef6bhehsUtK5Hm9vb1v6khrPsIVAADc0mxWrjwzk109hhEu/0Qrd8ObswAAAGAEwhUAAABGIFwBAABgBMIVAAAARiBcAQAAYATCFQAAAEYgXAEAAGAEwhUAAABGIFwBAABgBMIVAAAARiBcAQAAYATCFQAAAEYgXAEAAGAEwhUAAABGIFwBAABgBMIVAAAARiBcAQAAYATCFQAAAEYgXAEAAGAEwhUAAABGIFwBAABgBMIVAAAARiBcAQAAYATCFQAAAEYgXAEAAGAEwhUAAABGIFwBAABgBMIVAAAARiBcAQAAYASXhuv69esVExOj0NBQ2Ww2LVq0yLHu4sWLevHFF9WoUSP5+fkpNDRUgwYN0k8//eS6gQEAAOAyLg3XjIwMNWnSRDNmzCiwLjMzUzt27NDYsWO1Y8cOffHFFzp48KB69erlgkkBAADgal6u3Hn37t3VvXv3QtcFBATov//9r9Oy6dOn684779Tx48dVo0aN0hgRAAAAbsKl4XqjUlNTZbPZFBgYeMVtsrOzlZ2d7biflpZWCpMBAACgpBnz5qysrCy9+OKLevjhh+Xv73/F7aZMmaKAgADHLSwsrBSnBAAAQEkxIlwvXryofv36ybIszZo166rbxsfHKzU11XE7ceJEKU0JAACAkuT2pwrkR+uxY8e0evXqqx5tlSS73S673V5K0wEAAKC0uHW45kfr4cOHtWbNGlWqVMnVIwEAAMBFXBqu6enpOnLkiON+UlKSdu3apYoVKyokJEQPPfSQduzYoaVLlyo3N1enTp2SJFWsWFFlypRx1dgAAABwAZeG67Zt29SpUyfH/bi4OEnS4MGDNX78eC1ZskSS1LRpU6fHrVmzRh07diytMQEAAOAGXBquHTt2lGVZV1x/tXUAAAC4vRhxVQEAAACAcAUAAIARCFcAAAAYgXAFAACAEQhXAAAAGIFwBQAAgBEIVwAAABiBcAUAAIARCFcAAAAYgXAFAACAEQhXAAAAGIFwBQAAgBEIVwAAABiBcAUAAIARCFcAAAAYgXAFAACAEQhXAAAAGIFwBQAAgBEIVwAAABiBcAUAAIARCFcAAAAYgXAFAACAEQhXAAAAGIFwBQAAgBEIVwAAABiBcAUAAIARCFcAAAAYgXAFAACAEQhXAAAAGIFwBQAAgBEIVwAAABiBcAUAAIARCFcAAAAYgXAFAACAEQhXAAAAGIFwBQAAgBEIVwAAABiBcAUAAIARCFcAAAAYgXAFAACAEQhXAAAAGIFwBQAAgBEIVwAAABiBcAUAAIARCFcAAAAYgXAFAACAEQhXAAAAGMGl4bp+/XrFxMQoNDRUNptNixYtclpvWZZefvllhYSEyNfXV9HR0Tp8+LBrhgUAAIBLuTRcMzIy1KRJE82YMaPQ9a+//rreeecdvffee9q8ebP8/PzUtWtXZWVllfKkAAAAcDUvV+68e/fu6t69e6HrLMvStGnT9Ne//lX333+/JOlf//qXgoODtWjRIvXv3780RwUAAICLue05rklJSTp16pSio6MdywICAtS6dWtt3Ljxio/Lzs5WWlqa0w0AAADmc9twPXXqlCQpODjYaXlwcLBjXWGmTJmigIAAxy0sLKxE5wQAAEDpcNtwLar4+HilpqY6bidOnHD1SAAAACgGbhuuVatWlSSdPn3aafnp06cd6wpjt9vl7+/vdAMAAID53DZcIyIiVLVqVSUkJDiWpaWlafPmzWrTpo0LJwMAAIAruPSqAunp6Tpy5IjjflJSknbt2qWKFSuqRo0aGjlypCZOnKg6deooIiJCY8eOVWhoqHr37u26oQEAAOASLg3Xbdu2qVOnTo77cXFxkqTBgwdr3rx5euGFF5SRkaGhQ4fq3LlzateunVasWCEfHx9XjQwAAAAXcWm4duzYUZZlXXG9zWbTK6+8oldeeaUUpwIAAIA7cttzXAEAAIDfI1wBAABgBMIVAAAARiBcAQAAYATCFQAAAEYgXAEAAGAEwhUAAABGIFwBAABgBMIVAAAARiBcAQAAYATCFQAAAEYgXAEAAGAEwhUAAABGIFwBAABgBMIVAAAARiBcAQAAYATCFQAAAEYgXAEAAGAEwhUAAABGIFwBAABgBMIVAAAARiBcAQAAYATCFQAAAEYgXAEAAGAEwhUAAABGIFwBAABgBMIVAAAARiBcAQAAYATCFQAAAEYgXAEAAGAEwhUAAABGIFwBAABgBMIVAAAARiBcAQAAYATCFQAAAEYgXAEAAGAEwhUAAABGIFwBAABghCKFa61atfTLL78UWH7u3DnVqlXrpocCAAAALlekcD169Khyc3MLLM/OztbJkydveigAAADgcl43svGSJUscv165cqUCAgIc93Nzc5WQkKDw8PBiGw4AAADId0Ph2rt3b0mSzWbT4MGDndZ5e3srPDxcb731VrENBwAAAOS7oXDNy8uTJEVERGjr1q2qXLlyiQwFAAAAXO6GwjVfUlJScc8BAAAAXFWRwlWSEhISlJCQoOTkZMeR2Hxz5sy56cEAAACA3ytSuE6YMEGvvPKKWrZsqZCQENlstuKeCwAAAHBSpHB97733NG/ePA0cOLC45wEAAAAKVaTruObk5Oiuu+4q7lkAAACAKypSuD7xxBOaP39+cc9SQG5ursaOHauIiAj5+voqMjJSr776qizLKvF9AwAAwL0U6VSBrKwszZ49W6tWrVLjxo3l7e3ttP7tt98uluGmTp2qWbNm6cMPP1SDBg20bds2DRkyRAEBARoxYkSx7AMAAABmKFK47tmzR02bNpUk7du3z2ldcb5R67vvvtP999+vHj16SJLCw8P173//W1u2bCm2fQAAAMAMRQrXNWvWFPcchbrrrrs0e/ZsHTp0SFFRUdq9e7e++eabqx7Rzc7OVnZ2tuN+WlpaaYwKAACAElbk67iWhpdeeklpaWm644475OnpqdzcXE2aNEkDBgy44mOmTJmiCRMmlOKUAAAAKA1FCtdOnTpd9ZSA1atXF3mg3/vPf/6jTz75RPPnz1eDBg20a9cujRw5UqGhoRo8eHChj4mPj1dcXJzjflpamsLCwoplHgAAALhOkcI1//zWfBcvXtSuXbu0b9++KwZlUYwePVovvfSS+vfvL0lq1KiRjh07pilTplxxP3a7XXa7vdhmAAAAgHsoUrj+7W9/K3T5+PHjlZ6eflMD/V5mZqY8PJyv2OXp6VngI2YBAABw6yvSdVyv5JFHHtGcOXOK7fliYmI0adIkLVu2TEePHtWXX36pt99+W3369Cm2fQAAAMAMxfrmrI0bN8rHx6fYnu/dd9/V2LFj9cwzzyg5OVmhoaH685//rJdffrnY9gEAAAAzFClcH3jgAaf7lmXp559/1rZt2zR27NhiGUySypcvr2nTpmnatGnF9pwAAAAwU5HCNSAgwOm+h4eH6tatq1deeUVdunQplsEAAACA3ytSuM6dO7e45wAAAACu6qbOcd2+fbv+97//SZIaNGigZs2aFctQAAAAwOWKFK7Jycnq37+/1q5dq8DAQEnSuXPn1KlTJy1YsEBBQUHFOSMAAABQtMthDR8+XOfPn9f333+vs2fP6uzZs9q3b5/S0tI0YsSI4p4RAAAAKNoR1xUrVmjVqlWqV6+eY1n9+vU1Y8YM3pwFAACAElGkI655eXny9vYusNzb25tPtQIAAECJKFK43nPPPXr22Wf1008/OZadPHlSzz33nDp37lxswwEAAAD5ihSu06dPV1pamsLDwxUZGanIyEhFREQoLS1N7777bnHPCAAAABTtHNewsDDt2LFDq1at0oEDByRJ9erVU3R0dLEOBwAAAOS7oSOuq1evVv369ZWWliabzaZ7771Xw4cP1/Dhw9WqVSs1aNBAGzZsKKlZAQAAcBu7oXCdNm2annzySfn7+xdYFxAQoD//+c96++23i204AAAAIN8Nhevu3bvVrVu3K67v0qWLtm/fftNDAQAAAJe7oXA9ffp0oZfByufl5aWUlJSbHgoAAAC43A2Fa7Vq1bRv374rrt+zZ49CQkJueigAAADgcjcUrvfdd5/Gjh2rrKysAusuXLigcePGqWfPnsU2HAAAAJDvhi6H9de//lVffPGFoqKiNGzYMNWtW1eSdODAAc2YMUO5ubkaM2ZMiQwKAACA29sNhWtwcLC+++47Pf3004qPj5dlWZIkm82mrl27asaMGQoODi6RQQEAAHB7u+EPIKhZs6a++uor/frrrzpy5Igsy1KdOnVUoUKFkpgPAAAAkFTET86SpAoVKqhVq1bFOQsAAABwRTf05iwAAADAVQhXAAAAGIFwBQAAgBEIVwAAABiBcAUAAIARCFcAAAAYgXAFAACAEQhXAAAAGIFwBQAAgBEIVwAAABiBcAUAAIARCFcAAAAYgXAFAACAEQhXAAAAGIFwBQAAgBEIVwAAABiBcAUAAIARCFcAAAAYgXAFAACAEQhXAAAAGIFwBQAAgBEIVwAAABiBcAUAAIARCFcAAAAYgXAFAACAEQhXAAAAGIFwBQAAgBEIVwAAABjB7cP15MmTeuSRR1SpUiX5+vqqUaNG2rZtm6vHAgAAQCnzcvUAV/Prr7+qbdu26tSpk5YvX66goCAdPnxYFSpUcPVoAAAAKGVuHa5Tp05VWFiY5s6d61gWERHhwokAAADgKm59qsCSJUvUsmVL9e3bV1WqVFGzZs30wQcfXPUx2dnZSktLc7oBAADAfG4drj/88INmzZqlOnXqaOXKlXr66ac1YsQIffjhh1d8zJQpUxQQEOC4hYWFleLEAAAAKCluHa55eXlq3ry5Jk+erGbNmmno0KF68skn9d57713xMfHx8UpNTXXcTpw4UYoTAwAAoKS4dbiGhISofv36Tsvq1aun48ePX/Exdrtd/v7+TjcAAACYz63DtW3btjp48KDTskOHDqlmzZoumggAAACu4tbh+txzz2nTpk2aPHmyjhw5ovnz52v27NmKjY119WgAAAAoZW4drq1atdKXX36pf//732rYsKFeffVVTZs2TQMGDHD1aAAAAChlbn0dV0nq2bOnevbs6eoxAAAA4GJufcQVAAAAyEe4AgAAwAiEKwAAAIxAuAIAAMAIhCsAAACMQLgCAADACIQrAAAAjEC4AgAAwAiEKwAAAIxAuAIAAMAIhCsAAACMQLgCAADACIQrAAAAjEC4AgAAwAiEKwAAAIxAuAIAAMAIhCsAAACMQLgCAADACIQrAAAAjEC4AgAAwAiEKwAAAIxAuAIAAMAIhCsAAACMQLgCAADACIQrAAAAjEC4AgAAwAiEKwAAAIxAuAIAAMAIhCsAAACMQLgCAADACIQrAAAAjEC4AgAAwAiEKwAAAIxAuAIAAMAIhCsAAACMQLgCAADACIQrAAAAjEC4AgAAwAiEKwAAAIxAuAIAAMAIhCsAAACMQLgCAADACIQrAAAAjEC4AgAAwAiEKwAAAIxAuAIAAMAIhCsAAACMYFS4vvbaa7LZbBo5cqSrRwEAAEApMyZct27dqvfff1+NGzd29SgAAABwASPCNT09XQMGDNAHH3ygChUquHocAAAAuIAR4RobG6sePXooOjr6mttmZ2crLS3N6QYAAADzebl6gGtZsGCBduzYoa1bt17X9lOmTNGECRNKeCoAAACUNrc+4nrixAk9++yz+uSTT+Tj43Ndj4mPj1dqaqrjduLEiRKeEgAAAKXBrY+4bt++XcnJyWrevLljWW5urtavX6/p06crOztbnp6eTo+x2+2y2+2lPSoAAABKmFuHa+fOnbV3716nZUOGDNEdd9yhF198sUC0AgAA4Nbl1uFavnx5NWzY0GmZn5+fKlWqVGA5AAAAbm1ufY4rAAAAkM+tj7gWZu3ata4eAQAAAC7AEVcAAAAYgXAFAACAEQhXAAAAGIFwBQAAgBEIVwAAABiBcAUAAIARCFcAAAAYgXAFAACAEQhXAAAAGIFwBQAAgBEIVwAAABiBcAUAAIARCFcAAAAYgXAFAACAEQhXAAAAGIFwBQAAgBEIVwAAABiBcAUAAIARCFcAAAAYgXAFAACAEQhXAAAAGIFwBQAAgBEIVwAAABiBcAUAAIARCFcAAAAYgXAFAACAEQhXAAAAGIFwBQAAgBEIVwAAABiBcAUAAIARCFcAAAAYgXAFAACAEQhXAAAAGIFwBQAAgBEIVwAAABiBcAUAAIARCFcAAAAYgXAFAACAEQhXAAAAGIFwBQAAgBEIVwAAABiBcAUAAIARCFcAAAAYgXAFAACAEQhXAAAAGIFwBQAAgBEIVwAAABiBcAUAAIAR3Dpcp0yZolatWql8+fKqUqWKevfurYMHD7p6LAAAALiAW4frunXrFBsbq02bNum///2vLl68qC5duigjI8PVowEAAKCUebl6gKtZsWKF0/158+apSpUq2r59uzp06OCiqQAAAOAKbh2ul0tNTZUkVaxY8YrbZGdnKzs723E/LS2txOcCAABAyXPrUwV+Ly8vTyNHjlTbtm3VsGHDK243ZcoUBQQEOG5hYWGlOCUAAABKijHhGhsbq3379mnBggVX3S4+Pl6pqamO24kTJ0ppQgAAAJQkI04VGDZsmJYuXar169erevXqV93WbrfLbreX0mQAAAAoLW4drpZlafjw4fryyy+1du1aRUREuHokAAAAuIhbh2tsbKzmz5+vxYsXq3z58jp16pQkKSAgQL6+vi6eDgAAAKXJrc9xnTVrllJTU9WxY0eFhIQ4bgsXLnT1aAAAAChlbn3E1bIsV48AAAAAN+HWR1wBAACAfIQrAAAAjEC4AgAAwAiEKwAAAIxAuAIAAMAIhCsAAACMQLgCAADACIQrAAAAjEC4AgAAwAiEKwAAAIxAuAIAAMAIhCsAAACMQLgCAADACIQrAAAAjEC4AgAAwAiEKwAAAIxAuAIAAMAIhCsAAACMQLgCAADACIQrAAAAjEC4AgAAwAiEKwAAAIxAuAIAAMAIhCsAAACMQLgCAADACIQrAAAAjEC4AgAAwAiEKwAAAIxAuAIAAMAIhCsAAACMQLgCAADACIQrAAAAjEC4AgAAwAiEKwAAAIxAuAIAAMAIhCsAAACMQLgCAADACIQrAAAAjEC4AgAAwAiEKwAAAIxAuAIAAMAIhCsAAACMQLgCAADACIQrAAAAjEC4AgAAwAiEKwAAAIxAuAIAAMAIhCsAAACMYES4zpgxQ+Hh4fLx8VHr1q21ZcsWV48EAACAUub24bpw4ULFxcVp3Lhx2rFjh5o0aaKuXbsqOTnZ1aMBAACgFLl9uL799tt68sknNWTIENWvX1/vvfeeypYtqzlz5rh6NAAAAJQiL1cPcDU5OTnavn274uPjHcs8PDwUHR2tjRs3FvqY7OxsZWdnO+6npqZKktLS0kp22CvIzb7gkv3CNVz1+wwASsr5rFxXj4BS5Kq/x/L3a1nWVbdz63A9c+aMcnNzFRwc7LQ8ODhYBw4cKPQxU6ZM0YQJEwosDwsLK5EZgd8LePcpV48AAEDRTQlw6e7Pnz+vgIArz+DW4VoU8fHxiouLc9zPy8vT2bNnValSJdlsNhdOhltdWlqawsLCdOLECfn7+7t6HAC4afy5htJiWZbOnz+v0NDQq27n1uFauXJleXp66vTp007LT58+rapVqxb6GLvdLrvd7rQsMDCwpEYECvD39+cPeAC3FP5cQ2m42pHWfG795qwyZcqoRYsWSkhIcCzLy8tTQkKC2rRp48LJAAAAUNrc+oirJMXFxWnw4MFq2bKl7rzzTk2bNk0ZGRkaMmSIq0cDAABAKXL7cP3jH/+olJQUvfzyyzp16pSaNm2qFStWFHjDFuBqdrtd48aNK3CqCgCYij/X4G5s1rWuOwAAAAC4Abc+xxUAAADIR7gCAADACIQrAAAAjEC4AgAAwAiEK1AMZsyYofDwcPn4+Kh169basmWLq0cCgCJbv369YmJiFBoaKpvNpkWLFrl6JEAS4QrctIULFyouLk7jxo3Tjh071KRJE3Xt2lXJycmuHg0AiiQjI0NNmjTRjBkzXD0K4ITLYQE3qXXr1mrVqpWmT58u6bdPdwsLC9Pw4cP10ksvuXg6ALg5NptNX375pXr37u3qUQCOuAI3IycnR9u3b1d0dLRjmYeHh6Kjo7Vx40YXTgYAwK2HcAVuwpkzZ5Sbm1vgk9yCg4N16tQpF00FAMCtiXAFAACAEQhX4CZUrlxZnp6eOn36tNPy06dPq2rVqi6aCgCAWxPhCtyEMmXKqEWLFkpISHAsy8vLU0JCgtq0aePCyQAAuPV4uXoAwHRxcXEaPHiwWrZsqTvvvFPTpk1TRkaGhgwZ4urRAKBI0tPTdeTIEcf9pKQk7dq1SxUrVlSNGjVcOBlud1wOCygG06dP1xtvvKFTp06padOmeuedd9S6dWtXjwUARbJ27Vp16tSpwPLBgwdr3rx5pT8Q8P8QrgAAADAC57gCAADACIQrAAAAjEC4AgAAwAiEKwAAAIxAuAIAAMAIhCsAAACMQLgCAADACIQrAAAAjEC4AsAtqGPHjho5cqSrxwCAYkW4AkAJOXXqlJ599lnVrl1bPj4+Cg4OVtu2bTVr1ixlZma6ejwAMI6XqwcAgFvRDz/8oLZt2yowMFCTJ09Wo0aNZLfbtXfvXs2ePVvVqlVTr169XD3mFeXm5spms8nDg+MbANwHfyIBQAl45pln5OXlpW3btqlfv36qV6+eatWqpfvvv1/Lli1TTEyMJOncuXN64oknFBQUJH9/f91zzz3avXu343nGjx+vpk2b6qOPPlJ4eLgCAgLUv39/nT9/3rFNRkaGBg0apHLlyikkJERvvfVWgXmys7M1atQoVatWTX5+fmrdurXWrl3rWD9v3jwFBgZqyZIlql+/vux2u44fP15yLxAAFAHhCgDF7JdfftHXX3+t2NhY+fn5FbqNzWaTJPXt21fJyclavny5tm/frubNm6tz5846e/asY9vExEQtWrRIS5cu1dKlS7Vu3Tq99tprjvWjR4/WunXrtHjxYn399ddau3atduzY4bS/YcOGaePGjVqwYIH27Nmjvn37qlu3bjp8+LBjm8zMTE2dOlX/+Mc/9P3336tKlSrF+bIAwE3jVAEAKGZHjhyRZVmqW7eu0/LKlSsrKytLkhQbG6uYmBht2bJFycnJstvtkqQ333xTixYt0meffaahQ4dKkvLy8jRv3jyVL19ekjRw4EAlJCRo0qRJSk9P1z//+U99/PHH6ty5syTpww8/VPXq1R37PX78uObOnavjx48rNDRUkjRq1CitWLFCc+fO1eTJkyVJFy9e1MyZM9WkSZMSfHUAoOgIVwAoJVu2bFFeXp4GDBig7Oxs7d69W+np6apUqZLTdhcuXFBiYqLjfnh4uCNaJSkkJETJycmSfjsam5OTo9atWzvWV6xY0Sma9+7dq9zcXEVFRTntJzs722nfZcqUUePGjYvniwWAEkC4AkAxq127tmw2mw4ePOi0vFatWpIkX19fSVJ6erpCQkKczjXNFxgY6Pi1t7e30zqbzaa8vLzrnic9PV2enp7avn27PD09ndaVK1fO8WtfX1/HKQwA4I4IVwAoZpUqVdK9996r6dOna/jw4Vc8z7V58+Y6deqUvLy8FB4eXqR9RUZGytvbW5s3b1aNGjUkSb/++qsOHTqku+++W5LUrFkz5ebmKjk5We3bty/SfgDAHfDmLAAoATNnztSlS5fUsmVLLVy4UP/73/908OBBffzxxzpw4IA8PT0VHR2tNm3aqHfv3vr666919OhRfffddxozZoy2bdt2XfspV66cHn/8cY0ePVqrV6/Wvn379OijjzpdxioqKkoDBgzQoEGD9MUXXygpKUlbtmzRlClTtGzZspJ6CQCg2HHEFQBKQGRkpHbu3KnJkycrPj5eP/74o+x2u+rXr69Ro0bpmWeekc1m01dffaUxY8ZoyJAhSklJUdWqVdWhQwcFBwdf977eeOMNpaenKyYmRuXLl9fzzz+v1NRUp23mzp2riRMn6vnnn9fJkydVuXJl/eEPf1DPnj2L+0sHgBJjsyzLcvUQAAAAwLVwqgAAAACMQLgCAADACIQrAAAAjEC4AgAAwAiEKwAAAIxAuAIAAMAIhCsAAACMQLgCAADACIQrAAAAjEC4AgAAwAiEKwAAAIzw/wN47UPEfzbxGgAAAABJRU5ErkJggg==\n"
},
"metadata": {}
},
{
"output_type": "display_data",
"data": {
"text/plain": [
"<Figure size 800x600 with 1 Axes>"
],
"image/png": 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\n"
},
"metadata": {}
},
{
"output_type": "display_data",
"data": {
"text/plain": [
"<Figure size 800x600 with 1 Axes>"
],
"image/png": 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z9j6zZ89Wy5YtVbduXT3++OOqXLmyjh8/rk2bNunw4cPauXOnJGnEiBH64IMP9NBDD6l///6Kjo7W6dOntWLFCs2ZM0f169dXlSpVFBgYqDlz5sjPz08+Pj5q1qxZnmsyo6OjJUkvvPCCevfuLQ8PD3Xr1k3169dXbGys5s6dq5SUFLVp00ZbtmzRwoUL1b17d7Vr1+6a17JVq1aaNWuWBg8erKioKPXp00c1atTQpUuXtGfPHi1atEglS5ZUaGioJMnNzU3vvPOOOnfurNq1aysuLk4VKlTQkSNHtGbNGvn7++u///3vTX2eDRo00N///ne9+eabSk1NVfPmzZWYmKh9+/bl6PvKK69ozZo1atasmR5//HHVqlVLp0+f1vbt2/XVV1/p9OnTNzU2cFty0t0MABSwvG45ldttrq6+tdVLL71kNW3a1AoMDLS8vb2tGjVqWJMnT7YuXbrkcNy///1vq3LlylbJkiWtBg0aWJ9//vkt3Q7rRmq7loceesiSZC1ZssTedunSJatUqVJWyZIlrQsXLjj0z62OY8eOWV26dLH8/PwsSfaxs/tefTuq7FsVrVmz5pq1xcbGWj4+Pnnunzt3rhUdHW15e3tbfn5+Vt26da3nn3/eOnr0qGVZlrV9+3br73//u1WxYkXL09PTKleunNW1a1crKSnJfo7s22FNnTrVmj59uhUeHm55enparVq1snbu3JljzP3791t9+/a1QkNDLQ8PD6tChQpW165drQ8++MCh36lTp6xBgwZZFSpUsEqWLGndcccdVmxsrMNtnD7++GOrVq1aVokSJW7o1liTJk2yKlSoYLm5uTl8BpcvX7YmTJhgRUZGWh4eHlZ4eLg1evRoh9t2Xc93331n9e3b16pYsaJVsmRJy8fHx6pXr5713HPPWfv27cu1/wMPPGAFBQVZnp6eVqVKlaxevXpZiYmJ9j7Zt8M6ceKEw7G5/Td04cIFa8iQIVZQUJDl4+NjdevWzTp06FCOPweWZVnHjx+3Bg4caIWHh1seHh5WaGio1aFDB2vu3Ln2Ptn/jS1duvSGrwFwu7BZ1k2uMAcAuISDBw8qMjJSU6dO1fDhw51dDgAUOta4AgAAwAgEVwAAABiB4AoAAAAjsMYVAAAARmDGFQAAAEYguAIAAMAIxf4BBFlZWTp69Kj8/PyK/NGOAAAAuD7LsnT27FmVL19ebm55z6sW++B69OhRhYeHO7sMAAAAXMehQ4d0xx135Lm/2AdXPz8/SX9eCH9/fydXAwAAgKulpaUpPDzcntvyUuyDa/byAH9/f4IrAACAC7vesk6+nAUAAAAjEFwBAABgBIIrAAAAjFDs17gCAIDbW2Zmpi5fvuzsMm5r7u7uKlGixC3fmpTgCgAAiq309HQdPnxYPOHe+UqVKqWwsDCVLFky3+cguAIAgGIpMzNThw8fVqlSpRQcHMyDiJzEsixdunRJJ06c0IEDBxQVFXXNhwxcC8EVAAAUS5cvX5ZlWQoODpa3t7ezy7mteXt7y8PDQ7/99psuXbokLy+vfJ2HL2cBAIBijZlW15DfWVaHcxRAHQAAAEChI7gCAADACARXAAAAw7Vt21ZDhw51dhmFjuAKAABQAI4dO6ZnnnlGVatWlZeXl0JCQtSiRQu99dZbOn/+vLPLKxa4qwAAAMAt+vXXX9WiRQsFBgbq5ZdfVt26deXp6akffvhBc+fOVYUKFXTfffc5u8w8ZWZmymazFcgXqAqTa1cHAABggKefflolSpRQUlKSevXqpZo1a6py5cq6//779cknn6hbt26SpJSUFA0YMEDBwcHy9/dX+/bttXPnTvt5xo8frwYNGuhf//qXIiIiFBAQoN69e+vs2bP2PufOnVPfvn3l6+ursLAwTZ8+PUc9GRkZGj58uCpUqCAfHx81a9ZMa9eute9PSEhQYGCgVqxYoVq1asnT01O///574V2gAkJwBQAAuAWnTp3SF198oYEDB8rHxyfXPtm35HrooYeUnJyszz77TNu2bVOjRo3UoUMHnT592t53//79Wr58uVauXKmVK1dq3bp1euWVV+z7R4wYoXXr1unjjz/WF198obVr12r79u0O4w0aNEibNm3S4sWL9f333+uhhx5Sp06dtHfvXnuf8+fPa8qUKXrnnXf0448/qly5cgV5WQqFU4Pr+vXr1a1bN5UvX142m03Lly932G9ZlsaOHauwsDB5e3urY8eODhccAADA2fbt2yfLslS9enWH9rJly8rX11e+vr4aOXKkvv76a23ZskVLly5V48aNFRUVpWnTpikwMFAffPCB/bisrCwlJCSoTp06atWqlR599FElJiZK+vMRtv/7v/+radOmqUOHDqpbt64WLlyoK1eu2I///ffftWDBAi1dulStWrVSlSpVNHz4cLVs2VILFiyw97t8+bLefPNNNW/eXNWrV1epUqUK+UrdOqcG13Pnzql+/fqaPXt2rvtfffVVvfHGG5ozZ442b94sHx8fxcTE6OLFi0VcKQAAwM3ZsmWLduzYodq1aysjI0M7d+5Uenq6goKC7IHW19dXBw4c0P79++3HRUREyM/Pz74dFham5ORkSX/Oxl66dEnNmjWz7y9TpoxDaP7hhx+UmZmpatWqOYyzbt06h3FKliypevXqFeYlKHBO/XJW586d1blz51z3WZalmTNn6sUXX9T9998vSXr33XcVEhKi5cuXq3fv3kVZKgAAQK6qVq0qm82m3bt3O7RXrlxZkuyPm01PT1dYWJjDWtNsgYGB9p89PDwc9tlsNmVlZd1wPenp6XJ3d9e2bdvk7u7usM/X19f+s7e3t3FPFXPZNa4HDhzQsWPH1LFjR3tbQECAmjVrpk2bNuV5XEZGhtLS0hxeAAAAhSUoKEh33323Zs2apXPnzuXZr1GjRjp27JhKlCihqlWrOrzKli17Q2NVqVJFHh4e2rx5s73tzJkz2rNnj327YcOGyszMVHJyco5xQkND8/9GXYDL3g7r2LFjkqSQkBCH9pCQEPu+3MTHx2vChAmFWhsA3M6iR7zr7BJQhLZN7evsEozw5ptvqkWLFmrcuLHGjx+vevXqyc3NTVu3btUvv/yi6OhodezYUXfddZe6d++uV199VdWqVdPRo0f1ySefqEePHmrcuPF1x/H19dVjjz2mESNGKCgoSOXKldMLL7zgcBuratWqqU+fPurbt6+mT5+uhg0b6sSJE0pMTFS9evXUpUuXwrwUhcplg2t+jR49WsOGDbNvp6WlKTw83IkVAQCA4q5KlSr67rvv9PLLL2v06NE6fPiwPD09VatWLQ0fPlxPP/20bDabPv30U73wwguKi4vTiRMnFBoaqtatW+eYqLuWqVOnKj09Xd26dZOfn5+ee+45paamOvRZsGCBXnrpJT333HM6cuSIypYtqzvvvFNdu3Yt6LdepGyWZVnOLkL6c/3GsmXL1L17d0l/3sg3+z+CBg0a2Pu1adNGDRo00Ouvv35D501LS1NAQIBSU1Pl7+9fCJUDwO2FGdfbi8kzrhcvXtSBAwcUGRkpLy8vZ5dz27vW53Gjec1l17hGRkYqNDTUfvsH6c83tXnzZt11111OrAwAAADO4NSlAunp6dq3b599+8CBA9qxY4fKlCmjihUraujQoXrppZcUFRWlyMhIjRkzRuXLl7fPygIAAOD24dTgmpSUpHbt2tm3s9emxsbGKiEhQc8//7zOnTunJ554QikpKWrZsqVWrVrFdD8AAMBtyKnBtW3btrrWElubzaaJEydq4sSJRVgVAAAAXJHLrnEFAAAA/orgCgAAACMQXAEAAGAEgisAAACMQHAFAACAEYrdI18BAACupaif/ubsp48dPHhQkZGROZ5GaiJmXAEAAFxMv379ZLPZ9I9//CPHvoEDB8pms6lfv35FX5iTEVwBAABcUHh4uBYvXqwLFy7Y2y5evKj33ntPFStWdGJlzkNwBQAAcEGNGjVSeHi4PvroI3vbRx99pIoVK6phw4b2tlWrVqlly5YKDAxUUFCQunbtqv3791/z3Lt27VLnzp3l6+urkJAQPfroozp58mShvZeCQnAFAABwUf3799eCBQvs2/Pnz1dcXJxDn3PnzmnYsGFKSkpSYmKi3Nzc1KNHD2VlZeV6zpSUFLVv314NGzZUUlKSVq1apePHj6tXr16F+l4KAl/OAgAAcFGPPPKIRo8erd9++02StHHjRi1evFhr166193nwwQcdjpk/f76Cg4P1008/qU6dOjnOOWvWLDVs2FAvv/yywzHh4eHas2ePqlWrVjhvpgAQXAEAAFxUcHCwunTpooSEBFmWpS5duqhs2bIOffbu3auxY8dq8+bNOnnypH2m9ffff881uO7cuVNr1qyRr69vjn379+8nuAIAACB/+vfvr0GDBkmSZs+enWN/t27dVKlSJc2bN0/ly5dXVlaW6tSpo0uXLuV6vvT0dHXr1k1TpkzJsS8sLKxgiy9gBFcAAAAX1qlTJ126dEk2m00xMTEO+06dOqXdu3dr3rx5atWqlSTp66+/vub5GjVqpA8//FAREREqUcKsKMiXswAAAFyYu7u7fv75Z/30009yd3d32Fe6dGkFBQVp7ty52rdvn1avXq1hw4Zd83wDBw7U6dOn9fe//11bt27V/v379fnnnysuLk6ZmZmF+VZumVkxGwAA4BY5+0lW+eHv759ru5ubmxYvXqwhQ4aoTp06ql69ut544w21bds2z3OVL19eGzdu1MiRI3XPPfcoIyNDlSpVUqdOneTm5tpzmgRXAAAAF5OQkHDN/cuXL7f/3LFjR/30008O+y3Lsv8cERHhsC1JUVFRDveHNYVrx2oAAADg/xBcAQAAYASCKwAAAIxAcAUAAIARCK4AAAAwAsEVAAAARiC4AgAAwAgEVwAAABiB4AoAAAAj8OQsAABwW/l9Yt0iHa/i2B+KdLzCEhERoaFDh2ro0KFOq4EZVwAAABfTr18/2Wy2HK99+/Y5uzSnYsYVAADABXXq1EkLFixwaAsODnZSNa6BGVcAAAAX5OnpqdDQUIeXu7u7Pv74YzVq1EheXl6qXLmyJkyYoCtXrtiPs9lsevvtt9W1a1eVKlVKNWvW1KZNm7Rv3z61bdtWPj4+at68ufbv328/Zv/+/br//vsVEhIiX19fNWnSRF999dU160tJSdGAAQMUHBwsf39/tW/fXjt37iy06yERXAEAAIyxYcMG9e3bV88884x++uknvf3220pISNDkyZMd+k2aNEl9+/bVjh07VKNGDT388MN68sknNXr0aCUlJcmyLA0aNMjePz09Xffee68SExP13XffqVOnTurWrZt+//33PGt56KGHlJycrM8++0zbtm1To0aN1KFDB50+fbrQ3j9LBQAAAFzQypUr5evra9/u3Lmzzpw5o1GjRik2NlaSVLlyZU2aNEnPP/+8xo0bZ+8bFxenXr16SZJGjhypu+66S2PGjFFMTIwk6ZlnnlFcXJy9f/369VW/fn379qRJk7Rs2TKtWLHCIeBm+/rrr7VlyxYlJyfL09NTkjRt2jQtX75cH3zwgZ544okCvBL/H8EVAADABbVr105vvfWWfdvHx0f16tXTxo0bHWZYMzMzdfHiRZ0/f16lSpWSJNWrV8++PyQkRJJUt25dh7aLFy8qLS1N/v7+Sk9P1/jx4/XJJ5/ojz/+0JUrV3ThwoU8Z1x37typ9PR0BQUFObRfuHDBYQlCQSO4AgAAuCAfHx9VrVrVoS09PV0TJkzQAw88kKO/l5eX/WcPDw/7zzabLc+2rKwsSdLw4cP15Zdfatq0aapataq8vb3Vs2dPXbp0Kdfa0tPTFRYWprVr1+bYFxgYeGNvMB8IrgAAAIZo1KiRdu/enSPQ3qqNGzeqX79+6tGjh6Q/g+nBgwevWcexY8dUokQJRUREFGgt10JwBQAAMMTYsWPVtWtXVaxYUT179pSbm5t27typXbt26aWXXsr3eaOiovTRRx+pW7dustlsGjNmjH02NjcdO3bUXXfdpe7du+vVV19VtWrVdPToUX3yySfq0aOHGjdunO9aroXgCgAAbismP8kqJiZGK1eu1MSJEzVlyhR5eHioRo0aGjBgwC2dd8aMGerfv7+aN2+usmXLauTIkUpLS8uzv81m06effqoXXnhBcXFxOnHihEJDQ9W6dWv7mtrCYLMsyyq0s7uAtLQ0BQQEKDU1Vf7+/s4uBwCMFz3iXWeXgCK0zG+qs0vItys+YTrXfKQqVSgnzxLcAfRGeJavXWjnvnjxog4cOKDIyEiH9bjSjec1PkUAAAAYgeAKAAAAIxBcAQAAYASCKwAAAIxAcAUAAMXUn7dzKt5fQzdHQdwPgOAKAACKJbfL56WsK7qcRXJ1BefPn5fk+ASvm8V9XAEAQLFku5QutxM/65RPgEqU9pGbzdkVuT7r4sWCP6dl6fz580pOTlZgYKDc3d3zfS6CKwAAKJZsslRq94c66x+uQxcCJJFcr6fEucKLhoGBgQoNDb2lcxBcAQBAseWekaKAjZOU5R0ky5b/mb7bRfmBKwrlvB4eHrc005qN4AoAAIo1m5Up9/PJzi7DCFc/0crV8OUsAAAAGIHgCgAAACMQXAEAAGAEgisAAACMQHAFAACAEQiuAAAAMALBFQAAAEYguAIAAMAIBFcAAAAYgeAKAAAAIxBcAQAAYASCKwAAAIxAcAUAAIARCK4AAAAwAsEVAAAARiC4AgAAwAgEVwAAABiB4AoAAAAjEFwBAABgBIIrAAAAjEBwBQAAgBEIrgAAADACwRUAAABGILgCAADACARXAAAAGIHgCgAAACMQXAEAAGAEgisAAACMQHAFAACAEVw6uGZmZmrMmDGKjIyUt7e3qlSpokmTJsmyLGeXBgAAgCJWwtkFXMuUKVP01ltvaeHChapdu7aSkpIUFxengIAADRkyxNnlAQAAoAi5dHD95ptvdP/996tLly6SpIiICL3//vvasmWLkysDAABAUXPppQLNmzdXYmKi9uzZI0nauXOnvv76a3Xu3DnPYzIyMpSWlubwAgAAgPlcesZ11KhRSktLU40aNeTu7q7MzExNnjxZffr0yfOY+Ph4TZgwoQirBAAAQFFw6RnX//znP1q0aJHee+89bd++XQsXLtS0adO0cOHCPI8ZPXq0UlNT7a9Dhw4VYcUAAAAoLC494zpixAiNGjVKvXv3liTVrVtXv/32m+Lj4xUbG5vrMZ6envL09CzKMgEAAFAEXHrG9fz583JzcyzR3d1dWVlZTqoIAAAAzuLSM67dunXT5MmTVbFiRdWuXVvfffedZsyYof79+zu7NAAAABQxlw6u//znPzVmzBg9/fTTSk5OVvny5fXkk09q7Nixzi4NAAAARcylg6ufn59mzpypmTNnOrsUAAAAOJlLr3EFAAAAshFcAQAAYASCKwAAAIxAcAUAAIARCK4AAAAwAsEVAAAARiC4AgAAwAgEVwAAABiB4AoAAAAjEFwBAABgBIIrAAAAjEBwBQAAgBEIrgAAADACwRUAAABGILgCAADACARXAAAAGIHgCgAAACMQXAEAAGAEgisAAACMQHAFAACAEQiuAAAAMALBFQAAAEYguAIAAMAIBFcAAAAYgeAKAAAAIxBcAQAAYASCKwAAAIxAcAUAAIARCK4AAAAwAsEVAAAARiC4AgAAwAgEVwAAABiB4AoAAAAjEFwBAABgBIIrAAAAjEBwBQAAgBEIrgAAADACwRUAAABGILgCAADACARXAAAAGIHgCgAAACMQXAEAAGAEgisAAACMQHAFAACAEQiuAAAAMALBFQAAAEYguAIAAMAIBFcAAAAYgeAKAAAAIxBcAQAAYASCKwAAAIxAcAUAAIARCK4AAAAwAsEVAAAARiC4AgAAwAgEVwAAABiB4AoAAAAjEFwBAABgBIIrAAAAjEBwBQAAgBEIrgAAADACwRUAAABGILgCAADACARXAAAAGIHgCgAAACMQXAEAAGAEgisAAACMQHAFAACAEQiuAAAAMALBFQAAAEYguAIAAMAIBFcAAAAYgeAKAAAAIxBcAQAAYASCKwAAAIxAcAUAAIARCK4AAAAwgssH1yNHjuiRRx5RUFCQvL29VbduXSUlJTm7LAAAABSxEs4u4FrOnDmjFi1aqF27dvrss88UHBysvXv3qnTp0s4uDQAAAEXMpYPrlClTFB4ergULFtjbIiMjnVgRAAAAnMWllwqsWLFCjRs31kMPPaRy5cqpYcOGmjdv3jWPycjIUFpamsMLAAAA5nPp4Prrr7/qrbfeUlRUlD7//HM99dRTGjJkiBYuXJjnMfHx8QoICLC/wsPDi7BiAAAAFBabZVmWs4vIS8mSJdW4cWN988039rYhQ4Zo69at2rRpU67HZGRkKCMjw76dlpam8PBwpaamyt/fv9BrBoDiLnrEu84uAUVomd9UZ5eAIlRx7A9OGTctLU0BAQHXzWsuPeMaFhamWrVqObTVrFlTv//+e57HeHp6yt/f3+EFAAAA87l0cG3RooV2797t0LZnzx5VqlTJSRUBAADAWVw6uD777LP69ttv9fLLL2vfvn167733NHfuXA0cONDZpQEAAKCIuXRwbdKkiZYtW6b3339fderU0aRJkzRz5kz16dPH2aUBAACgiLn0fVwlqWvXruratauzywAAAICTufSMKwAAAJCN4AoAAAAjEFwBAABgBIIrAAAAjEBwBQAAgBEIrgAAADACwRUAAABGILgCAADACPkKrpUrV9apU6dytKekpKhy5cq3XBQAAABwtXwF14MHDyozMzNHe0ZGho4cOXLLRQEAAABXu6lHvq5YscL+8+eff66AgAD7dmZmphITExUREVFgxQEAAADZbiq4du/eXZJks9kUGxvrsM/Dw0MRERGaPn16gRUHAAAAZLup4JqVlSVJioyM1NatW1W2bNlCKQoAAAC42k0F12wHDhwo6DoAAACAa8pXcJWkxMREJSYmKjk52T4Tm23+/Pm3XBgAAADwV/kKrhMmTNDEiRPVuHFjhYWFyWazFXRdAAAAgIN8Bdc5c+YoISFBjz76aEHXAwAAAOQqX/dxvXTpkpo3b17QtQAAAAB5yldwHTBggN57772CrgUAAADIU76WCly8eFFz587VV199pXr16snDw8Nh/4wZMwqkOAAAACBbvoLr999/rwYNGkiSdu3a5bCPL2oBAACgMOQruK5Zs6ag6wAAAACuKV9rXAEAAICilq8Z13bt2l1zScDq1avzXRAAAACQm3wF1+z1rdkuX76sHTt2aNeuXYqNjS2IugAAAAAH+Qqur732Wq7t48ePV3p6+i0VBAAAAOSmQNe4PvLII5o/f35BnhIAAACQVMDBddOmTfLy8irIUwIAAACS8rlU4IEHHnDYtixLf/zxh5KSkjRmzJgCKQwAAAD4q3wF14CAAIdtNzc3Va9eXRMnTtQ999xTIIUBAAAAf5Wv4LpgwYKCrgMAAAC4pnwF12zbtm3Tzz//LEmqXbu2GjZsWCBFAQAAAFfLV3BNTk5W7969tXbtWgUGBkqSUlJS1K5dOy1evFjBwcEFWSMAAACQv7sKDB48WGfPntWPP/6o06dP6/Tp09q1a5fS0tI0ZMiQgq4RAAAAyN+M66pVq/TVV1+pZs2a9rZatWpp9uzZfDkLAAAAhSJfM65ZWVny8PDI0e7h4aGsrKxbLgoAAAC4Wr6Ca/v27fXMM8/o6NGj9rYjR47o2WefVYcOHQqsOAAAACBbvpYKzJo1S/fdd58iIiIUHh4uSTp06JDq1Kmjf//73wVaoOmiR7zr7BJQhJb5TXV2CShCFcf+4OwSAOC2kq/gGh4eru3bt+urr77SL7/8IkmqWbOmOnbsWKDFAQAAANluaqnA6tWrVatWLaWlpclms+nuu+/W4MGDNXjwYDVp0kS1a9fWhg0bCqtWAAAA3MZuKrjOnDlTjz/+uPz9/XPsCwgI0JNPPqkZM2YUWHEAAABAtpsKrjt37lSnTp3y3H/PPfdo27Ztt1wUAAAAcLWbCq7Hjx/P9TZY2UqUKKETJ07cclEAAADA1W4quFaoUEG7du3Kc//333+vsLCwWy4KAAAAuNpNBdd7771XY8aM0cWLF3Psu3DhgsaNG6euXbsWWHEAAABAtpu6HdaLL76ojz76SNWqVdOgQYNUvXp1SdIvv/yi2bNnKzMzUy+88EKhFAoAAIDb200F15CQEH3zzTd66qmnNHr0aFmWJUmy2WyKiYnR7NmzFRISUiiFAgAA4PZ20w8gqFSpkj799FOdOXNG+/btk2VZioqKUunSpQujPgAAAEBSPp+cJUmlS5dWkyZNCrIWAAAAIE839eUsAAAAwFkIrgAAADACwRUAAABGILgCAADACARXAAAAGIHgCgAAACMQXAEAAGAEgisAAACMQHAFAACAEQiuAAAAMALBFQAAAEYguAIAAMAIBFcAAAAYgeAKAAAAIxBcAQAAYASCKwAAAIxAcAUAAIARCK4AAAAwAsEVAAAARiC4AgAAwAgEVwAAABiB4AoAAAAjEFwBAABgBIIrAAAAjEBwBQAAgBEIrgAAADACwRUAAABGILgCAADACEYF11deeUU2m01Dhw51dikAAAAoYsYE161bt+rtt99WvXr1nF0KAAAAnMCI4Jqenq4+ffpo3rx5Kl26tLPLAQAAgBMYEVwHDhyoLl26qGPHjtftm5GRobS0NIcXAAAAzFfC2QVcz+LFi7V9+3Zt3br1hvrHx8drwoQJhVwVAAAAippLz7geOnRIzzzzjBYtWiQvL68bOmb06NFKTU21vw4dOlTIVQIAAKAouPSM67Zt25ScnKxGjRrZ2zIzM7V+/XrNmjVLGRkZcnd3dzjG09NTnp6eRV0qAAAACplLB9cOHTrohx9+cGiLi4tTjRo1NHLkyByhFQAAAMWXSwdXPz8/1alTx6HNx8dHQUFBOdoBAABQvLn0GlcAAAAgm0vPuOZm7dq1zi4BAAAATsCMKwAAAIxAcAUAAIARCK4AAAAwAsEVAAAARiC4AgAAwAgEVwAAABiB4AoAAAAjEFwBAABgBIIrAAAAjEBwBQAAgBEIrgAAADACwRUAAABGILgCAADACARXAAAAGIHgCgAAACMQXAEAAGAEgisAAACMQHAFAACAEQiuAAAAMALBFQAAAEYguAIAAMAIBFcAAAAYgeAKAAAAIxBcAQAAYASCKwAAAIxAcAUAAIARCK4AAAAwAsEVAAAARiC4AgAAwAgEVwAAABiB4AoAAAAjEFwBAABgBIIrAAAAjEBwBQAAgBEIrgAAADACwRUAAABGILgCAADACARXAAAAGIHgCgAAACMQXAEAAGAEgisAAACMQHAFAACAEQiuAAAAMALBFQAAAEYguAIAAMAIBFcAAAAYgeAKAAAAIxBcAQAAYASCKwAAAIxAcAUAAIARCK4AAAAwAsEVAAAARiC4AgAAwAgEVwAAABiB4AoAAAAjEFwBAABgBIIrAAAAjEBwBQAAgBEIrgAAADACwRUAAABGILgCAADACARXAAAAGIHgCgAAACMQXAEAAGAEgisAAACMQHAFAACAEQiuAAAAMALBFQAAAEYguAIAAMAIBFcAAAAYgeAKAAAAIxBcAQAAYASCKwAAAIxAcAUAAIARCK4AAAAwAsEVAAAARiC4AgAAwAguHVzj4+PVpEkT+fn5qVy5curevbt2797t7LIAAADgBC4dXNetW6eBAwfq22+/1ZdffqnLly/rnnvu0blz55xdGgAAAIpYCWcXcC2rVq1y2E5ISFC5cuW0bds2tW7d2klVAQAAwBlcOrheLTU1VZJUpkyZPPtkZGQoIyPDvp2WllbodQEAAKDwufRSgb/KysrS0KFD1aJFC9WpUyfPfvHx8QoICLC/wsPDi7BKAAAAFBZjguvAgQO1a9cuLV68+Jr9Ro8erdTUVPvr0KFDRVQhAAAACpMRSwUGDRqklStXav369brjjjuu2dfT01Oenp5FVBkAAACKiksHV8uyNHjwYC1btkxr165VZGSks0sCAACAk7h0cB04cKDee+89ffzxx/Lz89OxY8ckSQEBAfL29nZydQAAAChKLr3G9a233lJqaqratm2rsLAw+2vJkiXOLg0AAABFzKVnXC3LcnYJAAAAcBEuPeMKAAAAZCO4AgAAwAgEVwAAABiB4AoAAAAjEFwBAABgBIIrAAAAjEBwBQAAgBEIrgAAADACwRUAAABGILgCAADACARXAAAAGIHgCgAAACMQXAEAAGAEgisAAACMQHAFAACAEQiuAAAAMALBFQAAAEYguAIAAMAIBFcAAAAYgeAKAAAAIxBcAQAAYASCKwAAAIxAcAUAAIARCK4AAAAwAsEVAAAARiC4AgAAwAgEVwAAABiB4AoAAAAjEFwBAABgBIIrAAAAjEBwBQAAgBEIrgAAADACwRUAAABGILgCAADACARXAAAAGIHgCgAAACMQXAEAAGAEgisAAACMQHAFAACAEQiuAAAAMALBFQAAAEYguAIAAMAIBFcAAAAYgeAKAAAAIxBcAQAAYASCKwAAAIxAcAUAAIARCK4AAAAwAsEVAAAARiC4AgAAwAgEVwAAABiB4AoAAAAjEFwBAABgBIIrAAAAjEBwBQAAgBEIrgAAADACwRUAAABGILgCAADACARXAAAAGIHgCgAAACMQXAEAAGAEgisAAACMQHAFAACAEQiuAAAAMALBFQAAAEYguAIAAMAIBFcAAAAYgeAKAAAAIxBcAQAAYASCKwAAAIxAcAUAAIARCK4AAAAwAsEVAAAARiC4AgAAwAgEVwAAABiB4AoAAAAjEFwBAABgBCOC6+zZsxURESEvLy81a9ZMW7ZscXZJAAAAKGIuH1yXLFmiYcOGady4cdq+fbvq16+vmJgYJScnO7s0AAAAFCGXD64zZszQ448/rri4ONWqVUtz5sxRqVKlNH/+fGeXBgAAgCJUwtkFXMulS5e0bds2jR492t7m5uamjh07atOmTbkek5GRoYyMDPt2amqqJCktLa1wi81DZsYFp4wL5zjrkensElCEnPV7xdn4vXZ74ffa7cVZv9eyx7Us65r9XDq4njx5UpmZmQoJCXFoDwkJ0S+//JLrMfHx8ZowYUKO9vDw8EKpEfirOs4uAEUrPsDZFQCFjt9rtxkn/147e/asAgLyrsGlg2t+jB49WsOGDbNvZ2Vl6fTp0woKCpLNZnNiZSju0tLSFB4erkOHDsnf39/Z5QDALeP3GoqKZVk6e/asypcvf81+Lh1cy5YtK3d3dx0/ftyh/fjx4woNDc31GE9PT3l6ejq0BQYGFlaJQA7+/v78ggdQrPB7DUXhWjOt2Vz6y1klS5ZUdHS0EhMT7W1ZWVlKTEzUXXfd5cTKAAAAUNRcesZVkoYNG6bY2Fg1btxYTZs21cyZM3Xu3DnFxcU5uzQAAAAUIZcPrn/729904sQJjR07VseOHVODBg20atWqHF/YApzN09NT48aNy7FUBQBMxe81uBqbdb37DgAAAAAuwKXXuAIAAADZCK4AAAAwAsEVAAAARiC4AgAAwAgEV6AAzJ49WxEREfLy8lKzZs20ZcsWZ5cEAPm2fv16devWTeXLl5fNZtPy5cudXRIgieAK3LIlS5Zo2LBhGjdunLZv36769esrJiZGycnJzi4NAPLl3Llzql+/vmbPnu3sUgAH3A4LuEXNmjVTkyZNNGvWLEl/Pt0tPDxcgwcP1qhRo5xcHQDcGpvNpmXLlql79+7OLgVgxhW4FZcuXdK2bdvUsWNHe5ubm5s6duyoTZs2ObEyAACKH4IrcAtOnjypzMzMHE9yCwkJ0bFjx5xUFQAAxRPBFQAAAEYguAK3oGzZsnJ3d9fx48cd2o8fP67Q0FAnVQUAQPFEcAVuQcmSJRUdHa3ExER7W1ZWlhITE3XXXXc5sTIAAIqfEs4uADDdsGHDFBsbq8aNG6tp06aaOXOmzp07p7i4OGeXBgD5kp6ern379tm3Dxw4oB07dqhMmTKqWLGiEyvD7Y7bYQEFYNasWZo6daqOHTumBg0a6I033lCzZs2cXRYA5MvatWvVrl27HO2xsbFKSEgo+oKA/0NwBQAAgBFY4woAAAAjEFwBAABgBIIrAAAAjEBwBQAAgBEIrgAAADACwRUAAABGILgCAADACARXAAAAGIHgCgCFrG3btho6dGiRjLV27VrZbDalpKRIkhISEhQYGFgkYwNAYePJWQBQyE6fPi0PDw/5+fkV+ljZj+o8c+aMAgMDdeHCBZ09e1blypUr9LEBoLCVcHYBAFDclSlTxmlje3t7y9vb22njA0BBYqkAABSyvy4ViIiI0Msvv6z+/fvLz89PFStW1Ny5c+19L126pEGDBiksLExeXl6qVKmS4uPjJUkHDx6UzWbTjh077P1TUlJks9m0du3aXMe+eqnA+PHj1aBBA/3rX/9SRESEAgIC1Lt3b509e7ag3zYAFDiCKwAUsenTp6tx48b67rvv9PTTT+upp57S7t27JUlvvPGGVqxYof/85z/avXu3Fi1apIiIiAIdf//+/Vq+fLlWrlyplStXat26dXrllVcKdAwAKAwsFQCAInbvvffq6aefliSNHDlSr732mtasWaPq1avr999/V1RUlFq2bCmbzaZKlSoV+PhZWVlKSEiwr7l99NFHlZiYqMmTJxf4WABQkJhxBYAiVq9ePfvPNptNoaGhSk5OliT169dPO3bsUPXq1TVkyBB98cUXBT5+RESEwxfFwsLC7OMDgCsjuAJAEfPw8HDYttlsysrKkiQ1atRIBw4c0KRJk3ThwgX16tVLPXv2lCS5uf35K/uvN4O5fPlygY4PAK6M4AoALsbf319/+9vfNG/ePC1ZskQffvihTp8+reDgYEnSH3/8Ye/71y9qAUBxxxpXAHAhM2bMUFhYmBo2bCg3NzctXbpUoaGhCgwMlJubm+6880698sorioyMVHJysl588UVnlwwARYYZVwBwIX5+fnr11VfVuHFjNWnSRAcPHtSnn35qXyYwf/58XblyRdHR0Ro6dKheeuklJ1cMAEWHJ2cBAADACMy4AgAAwAgEVwAAABiB4AoAAAAjEFwBAABgBIIrAAAAjEBwBQAAgBEIrgAAADACwRUAAABGILgCAADACARXAAAAGIHgCgAAACP8PwY65iezliV3AAAAAElFTkSuQmCC\n"
},
"metadata": {}
},
{
"output_type": "display_data",
"data": {
"text/plain": [
"<Figure size 800x600 with 1 Axes>"
],
"image/png": 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\n"
},
"metadata": {}
},
{
"output_type": "display_data",
"data": {
"text/plain": [
"<Figure size 800x600 with 1 Axes>"
],
"image/png": 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\n"
},
"metadata": {}
},
{
"output_type": "display_data",
"data": {
"text/plain": [
"<Figure size 800x600 with 1 Axes>"
],
"image/png": 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\n"
},
"metadata": {}
},
{
"output_type": "display_data",
"data": {
"text/plain": [
"<Figure size 800x600 with 1 Axes>"
],
"image/png": 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\n"
},
"metadata": {}
}
]
},
{
"cell_type": "markdown",
"source": [
"### Clustering using KMeans Algorithm"
],
"metadata": {
"id": "4HGC5WTwxcbQ"
}
},
{
"cell_type": "code",
"source": [
"import pandas as pd\n",
"import numpy as np\n",
"from sklearn.cluster import KMeans\n",
"from sklearn.preprocessing import StandardScaler\n",
"from sklearn.metrics import silhouette_score\n",
"\n",
"# Load the dataset\n",
"dataset = pd.read_csv(\"dataset2.csv\")\n",
"\n",
"# Separate features and labels\n",
"X = dataset.drop('cad', axis=1)\n",
"y = dataset['cad']\n",
"\n",
"# Standardize the features\n",
"scaler = StandardScaler()\n",
"X_scaled = scaler.fit_transform(X)\n",
"\n",
"# Perform K-means clustering\n",
"kmeans = KMeans(n_clusters=2, random_state=42)\n",
"dataset['cluster'] = kmeans.fit_predict(X_scaled)\n",
"\n",
"# Calculate silhouette score\n",
"silhouette_avg = silhouette_score(X_scaled, dataset['cluster'])\n",
"print(\"Silhouette Score:\", silhouette_avg)\n",
"\n",
"# Take custom input sample\n",
"input_sample = {\n",
" 'Hypertension': 1,\n",
" 'Retinopathy': 0,\n",
" 'Gender': 1,\n",
" 'Sedentary computed axial tomography': 0,\n",
" 'insulin': 1,\n",
" 'BMI computed axial tomography': 0,\n",
" 'ckd axial tomography': 0,\n",
" 'stroke': 1,\n",
" 'acute gastroenteristis': 0,\n",
"}\n",
"\n",
"# Convert the input sample to a DataFrame\n",
"input_df = pd.DataFrame([input_sample])\n",
"\n",
"# Standardize the input sample\n",
"input_scaled = scaler.transform(input_df)\n",
"\n",
"# Predict the cluster for the input sample\n",
"predicted_cluster = kmeans.predict(input_scaled)[0]\n",
"\n",
"print(\"Predicted Cluster for Custom Input:\", predicted_cluster)\n"
],
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/"
},
"id": "uhlJQuRAmtMf",
"outputId": "c76dadfd-5b5e-4954-c0d4-f91566ccf174"
},
"execution_count": 7,
"outputs": [
{
"output_type": "stream",
"name": "stdout",
"text": [
"Silhouette Score: 0.3146218045575161\n",
"Predicted Cluster for Custom Input: 0\n"
]
},
{
"output_type": "stream",
"name": "stderr",
"text": [
"/usr/local/lib/python3.10/dist-packages/sklearn/cluster/_kmeans.py:870: FutureWarning: The default value of `n_init` will change from 10 to 'auto' in 1.4. Set the value of `n_init` explicitly to suppress the warning\n",
" warnings.warn(\n"
]
}
]
},
{
"cell_type": "markdown",
"source": [
"Clustering algorithm using KMeans after encoding using encoder"
],
"metadata": {
"id": "RAusWtavxlDx"
}
},
{
"cell_type": "code",
"source": [
"import pandas as pd\n",
"import numpy as np\n",
"import tensorflow as tf\n",
"from sklearn.preprocessing import StandardScaler\n",
"from sklearn.metrics import silhouette_score\n",
"\n",
"# Load the dataset\n",
"dataset = pd.read_csv(\"dataset2.csv\")\n",
"\n",
"# Separate features and labels\n",
"X = dataset.drop('cad', axis=1)\n",
"y = dataset['cad']\n",
"\n",
"# Standardize the features\n",
"scaler = StandardScaler()\n",
"X_scaled = scaler.fit_transform(X)\n",
"\n",
"# Define the autoencoder model\n",
"input_dim = X_scaled.shape[1]\n",
"encoding_dim = 2 # You can adjust the dimensionality as needed\n",
"\n",
"input_layer = tf.keras.layers.Input(shape=(input_dim,))\n",
"encoder = tf.keras.layers.Dense(encoding_dim, activation='relu')(input_layer)\n",
"decoder = tf.keras.layers.Dense(input_dim, activation='sigmoid')(encoder)\n",
"\n",
"autoencoder = tf.keras.models.Model(inputs=input_layer, outputs=decoder)\n",
"\n",
"autoencoder.compile(optimizer='adam', loss='mean_squared_error')\n",
"\n",
"# Train the autoencoder\n",
"autoencoder.fit(X_scaled, X_scaled, epochs=100, batch_size=32, shuffle=True, verbose=0)\n",
"\n",
"# Use the encoder part to get reduced-dimensional representations\n",
"encoder_model = tf.keras.models.Model(inputs=input_layer, outputs=encoder)\n",
"\n",
"# Perform clustering on the encoded data\n",
"from sklearn.cluster import KMeans\n",
"\n",
"encoded_data = encoder_model.predict(X_scaled)\n",
"\n",
"kmeans = KMeans(n_clusters=2, random_state=42)\n",
"dataset['cluster'] = kmeans.fit_predict(encoded_data)\n",
"\n",
"# Calculate silhouette score\n",
"silhouette_avg = silhouette_score(encoded_data, dataset['cluster'])\n",
"print(\"Silhouette Score:\", silhouette_avg)\n",
"\n",
"# Take custom input sample\n",
"input_sample = {\n",
" 'Hypertension': 1,\n",
" 'Retinopathy': 0,\n",
" 'Gender': 1,\n",
" 'Sedentary computed axial tomography': 0,\n",
" 'insulin': 0,\n",
" 'BMI computed axial tomography': 0,\n",
" 'ckd axial tomography': 0,\n",
" 'stroke': 0,\n",
" 'acute gastroenteristis': 0,\n",
"}\n",
"\n",
"# Convert the input sample to a DataFrame\n",
"input_df = pd.DataFrame([input_sample])\n",
"\n",
"# Standardize the input sample\n",
"input_scaled = scaler.transform(input_df)\n",
"\n",
"# Use the encoder to get the encoded representation of the input\n",
"encoded_input = encoder_model.predict(input_scaled)\n",
"\n",
"# Predict the cluster for the input\n",
"predicted_cluster = kmeans.predict(encoded_input)[0]\n",
"\n",
"print(\"Predicted Cluster for Custom Input:\", predicted_cluster)\n"
],
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/"
},
"id": "TW62tA9cuAmX",
"outputId": "8c9b16b4-6ac6-4164-ece4-7164c77a4928"
},
"execution_count": 13,
"outputs": [
{
"output_type": "stream",
"name": "stdout",
"text": [
"3/3 [==============================] - 0s 6ms/step\n",
"Silhouette Score: 0.6326216\n",
"1/1 [==============================] - 0s 23ms/step\n",
"Predicted Cluster for Custom Input: 0\n"
]
},
{
"output_type": "stream",
"name": "stderr",
"text": [
"/usr/local/lib/python3.10/dist-packages/sklearn/cluster/_kmeans.py:870: FutureWarning: The default value of `n_init` will change from 10 to 'auto' in 1.4. Set the value of `n_init` explicitly to suppress the warning\n",
" warnings.warn(\n"
]
}
]
},
{
"cell_type": "markdown",
"source": [
"Plotting the clusters"
],
"metadata": {
"id": "CZc5uOFTxvGc"
}
},
{
"cell_type": "code",
"source": [
"import pandas as pd\n",
"import numpy as np\n",
"import matplotlib.pyplot as plt\n",
"from sklearn.cluster import KMeans\n",
"from sklearn.preprocessing import StandardScaler\n",
"\n",
"# Load the dataset\n",
"dataset = pd.read_csv(\"dataset2.csv\")\n",
"\n",
"# Separate features and labels\n",
"X = dataset.drop('cad', axis=1)\n",
"y = dataset['cad']\n",
"\n",
"# Standardize the features\n",
"scaler = StandardScaler()\n",
"X_scaled = scaler.fit_transform(X)\n",
"\n",
"# Perform K-means clustering\n",
"kmeans = KMeans(n_clusters=2, random_state=42)\n",
"dataset['cluster'] = kmeans.fit_predict(X_scaled)\n",
"\n",
"# Plot the clusters\n",
"plt.figure(figsize=(8, 6))\n",
"scatter = plt.scatter(X_scaled[:, 0], X_scaled[:, 1], c=dataset['cluster'], cmap='viridis')\n",
"centroids = plt.scatter(kmeans.cluster_centers_[:, 0], kmeans.cluster_centers_[:, 1], s=300, c='red', marker='X', label='Centroids')\n",
"\n",
"plt.xlabel('Feature 1')\n",
"plt.ylabel('Feature 2')\n",
"plt.title('K-means Clustering')\n",
"plt.tight_layout()\n",
"\n",
"plt.show()\n"
],
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 662
},
"id": "1KkPrtmkuJhK",
"outputId": "1672e737-764c-4d7e-baa3-ecfada0f8527"
},
"execution_count": 16,
"outputs": [
{
"output_type": "stream",
"name": "stderr",
"text": [
"/usr/local/lib/python3.10/dist-packages/sklearn/cluster/_kmeans.py:870: FutureWarning: The default value of `n_init` will change from 10 to 'auto' in 1.4. Set the value of `n_init` explicitly to suppress the warning\n",
" warnings.warn(\n"
]
},
{
"output_type": "display_data",
"data": {
"text/plain": [
"<Figure size 800x600 with 1 Axes>"
],
"image/png": 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\n"
},
"metadata": {}
}
]
},
{
"cell_type": "code",
"source": [],
"metadata": {
"id": "b8hMi6Kaut8D"
},
"execution_count": null,
"outputs": []
}
]
}
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