RAU_MasterStudy/thesis/old/refs/clustering-ML-prediction-checkpoint.ipynb
2025-06-04 20:04:29 +03:00

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{
"cells": [
{
"cell_type": "code",
"execution_count": 1,
"id": "a1a62865",
"metadata": {},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"/home/masa1771/anaconda3/lib/python3.8/site-packages/scipy/__init__.py:138: UserWarning: A NumPy version >=1.16.5 and <1.23.0 is required for this version of SciPy (detected version 1.24.3)\n",
" warnings.warn(f\"A NumPy version >={np_minversion} and <{np_maxversion} is required for this version of \"\n"
]
}
],
"source": [
"import numpy as np\n",
"import pandas as pd\n",
"import seaborn as sns\n",
"import matplotlib.pyplot as plt\n",
"from sklearn.model_selection import train_test_split\n",
"from sklearn.preprocessing import StandardScaler\n",
"from sklearn.metrics import accuracy_score\n",
"from sklearn.linear_model import LinearRegression, Ridge, Lasso\n",
"from sklearn.svm import LinearSVC\n",
"from sklearn.tree import DecisionTreeClassifier, ExtraTreeClassifier\n",
"from sklearn.ensemble import (\n",
" RandomForestClassifier,\n",
" AdaBoostClassifier,\n",
" BaggingClassifier,\n",
" ExtraTreesClassifier,\n",
")\n",
"from sklearn.decomposition import PCA, KernelPCA\n",
"from sklearn.cluster import KMeans, AgglomerativeClustering\n",
"from scipy.cluster.hierarchy import dendrogram, linkage, set_link_color_palette\n",
"from sklearn.feature_selection import SelectKBest, SelectFromModel, f_classif"
]
},
{
"cell_type": "markdown",
"id": "fcb1bb1c",
"metadata": {},
"source": [
"# DataSet"
]
},
{
"cell_type": "code",
"execution_count": 3,
"id": "eabe5d1f",
"metadata": {},
"outputs": [],
"source": [
"df = pd.DataFrame(\n",
" pd.read_csv(\n",
" \"../top_Gads_updated.dat\",\n",
" header=None,\n",
" comment=\"#\",\n",
" sep=\"\\s+\",\n",
" squeeze=True,\n",
" names=[\"material\", \"adsorbate\", \"DF_lower\", \"DF_upper\", \"DF\"],\n",
" )\n",
")\n",
"\n",
"df = df[[\"material\", \"adsorbate\", \"DF\"]]\n",
"aminoacid = df[\"adsorbate\"].unique()\n",
"\n",
"n = {}\n",
"for i in aminoacid:\n",
" n[i] = list(df[df.adsorbate == i][\"DF\"])\n",
"X = pd.DataFrame(n)\n",
"aminoacids_label = list(df[\"adsorbate\"].unique())\n",
"material_label = list(df[\"material\"].unique())\n",
"X.index = material_label"
]
},
{
"cell_type": "code",
"execution_count": 9,
"id": "17ab6fc2",
"metadata": {},
"outputs": [],
"source": [
"main = [\"ASP\", \"VAL\", \"PRO\", \"ETA\", \"PHO\"]\n",
"rest = [i for i in aminoacids_label if i not in main]"
]
},
{
"cell_type": "code",
"execution_count": 10,
"id": "720359e4",
"metadata": {},
"outputs": [],
"source": [
"def Mary_pred(i):\n",
" Y = X[i]\n",
" model = LinearRegression()\n",
" model.fit(X[main], Y)\n",
" ytest_pred = model.predict(X[main])\n",
" return ytest_pred"
]
},
{
"cell_type": "code",
"execution_count": 11,
"id": "b37f52f9",
"metadata": {},
"outputs": [],
"source": [
"X_new = X\n",
"for i in rest:\n",
" X_new[i] = Mary_pred(i)"
]
},
{
"cell_type": "code",
"execution_count": 7,
"id": "a53db18b",
"metadata": {},
"outputs": [
{
"data": {
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SJJtwMjQzvzqZgUiSJEmSJEnSZHpA0wFIkiRJkiRJUh1MhkqSJEmSJEmaFgbpGQpARKwLvBjYFFgdiD7DJryavCRJkiRJkiTVYaBkaES8HTgSWKF7c/U9u352NXlJkiRJkiRJrTLhafIR8XzgGOAu4AjgvGrXm4CPAVdWP38K2GuIMUqSJEmSJEnSUhukZ+hbKRWf22fmwcAVAJn5hcx8D7A58CVKRei5ww5UkiRJkiRJkpbGIMnQJwMXZuav++3MzLuBfYFbgA8MITZJkiRJkiRJGppBkqEPBv7a9fPdABHxoM6GzLwH+CWw7VCikyRJkiRJkqQhGSQZegNl9fiOG6vvG/aMWwlYcylikiRJkiRJkqShGyQZehXwyK6f51FWjn9VZ0NErAPMBP629KFJkiRJkiRJ0vAMkgw9E3hsRGxQ/fxD4CbgvRHxzYj4OHABsCpwylCjlCRJkiRJkqSltPwAY78BPJxSHXp1Zt4WEXsBc4Bdusb9Fvjw8EKUJEmSJEmSpKU34WRoZl4K7N2z7XsRsSnwIuAhwGXA9zPzvqFGKUmSJEmSJElLaZDK0L4y8x/A54cQiyRJkiRJkiRNmgn3DI2IL1fT4scbt2dEfHnpwpIkSZIkSZKk4RpkAaU9gWdMYNzTgdctUTSSJEmSJEmSNEkGSYZO1ArA/ZPweyVJkiRJkiRpiU1GMvRxwM2T8HslSZIkSZIkaYmNuYBSn96fzxijH+jywGOBJwE/HEJskiRJkiRJkjQ0460mv2fXfyewSfU1lvnA+5YiJkmSJEmSJEkauvGSoa+vvgfwZeAXwJdGGXs38A/g/My8ezjhSZIkSZIkSdJwjJkMzcyvdv47Ig6lJDq/Ovq/kCRJkiRJkqR2Gq8ydIHM3HAS45AkSZIkSZKkSTXhZOhYIuLRwOOBv2XmhcP4nZIkSZIkSZI0TA+Y6MCIeFlEnBYRT+nZfjBwKXAy8KuI+H9DjlGSJEmSJEmSltqEk6HAa4BnARd3NkTEFsAHgfuBXwI3A6+KiJcNMUZJkiRJkiRJWmqDJEOfCPwuM+/o2vYaIIE3ZuazgCcD9wB7Dy9ESZIkSZIkSVp6gyRD1wL+0bPt2cBtwByAzPwr8AvgsUOJTpIkSZIkSZKGZJBk6AOB6PwQESsCI8B5mXlv17j5wMOGEp0kSZIkSZIkDckgydBrgc27fn4WJUH6y55xqwK3LGVckiRJkiRJkjRUgyRDzwE2i4h3R8TjgQ9R+oX+uGfcFsDfhxSfJEmSJEmSJA3FIMnQwyn9QY8Afgs8BTgzM3/dGRARmwIbA78aZpCSJEmSJEmStLSWn+jAzPxTRDwd2B9YB7gA+FjPsO2A3wE/GFqEkiRJkiRJkjQEE06GAmTmH4C9xtj/WeCzSxuUJEmSJEmSJA3bINPkJUmSJEmSJGnKal0yNCLWi4jbIiIjYtWu7RERB0XENRFxZ0T8LCJGGgxVkiRJkiRJ0hQy6jT5iPgrZbX452bmldXPE5WZ+agljOljlIWaHtSz/UDgEOAA4DJK79IzImKLzJy/hI8lSZIkSZIkaZoYq2fohpRk6ApdP09ULkkwEfFM4AXAR+hanCkiVqIkQ4/IzOOrbecBVwH7AQcvyeNJkiRJkiRJmj7GSoZuVH3/R8/PkyIilgOOAz4I3NyzextgdeDkzobMvD0iTgV2wGSoJEmSJEmSpHGMmgzNzL+N9fMk+F9gJeDTwKt79m0G3Adc0bP9UmDXSY5LkiRJkiRJ0jKgFQsoRcRawIeA/TPznj5D1gRuy8z7erbfBKwSESv2+Z2zIuLCiLjw+uuvH37QkiRJkiRJkqaUsabJL6Kaxr418DhgLeB+4EbgYuA3mXn/UsRxOPCrzDxtjDH9+pDGaPsyczYwG2Drrbdeoh6mkiRJkiRJkpYd4yZDq6rLA4G3AWuMMuzGiDgGOHqUys6xfv/jgL2AZ0VE5/evUn1/cETcR6kAXS0iluupDl0DuGPQx5QkSZIkSZI0/YyZDI2IVYHTgKdTqjAT+CtwPWWK/UMpCyutBXwY2D4iXpSZdwwQw6MpK9af12ff34EvAXOA5YBNgMu79m8GXDbAY0mSJEmSJEmapsbrGfpJ4BmU6fD7AQ/JzEdn5jaZ+dTM3ISSCH1rNebZwMcHjOEXwLY9X0dV+3YEPgacC9wC7NL5RxGxCrAT8KMBH0+SJEmSJEnSNDRqZWhEbAS8HvgX8JTRVpPPzJuB4yPiB8CvgL0j4siJrj6fmTcAc3see8PqP3+embdV244EDomImyjVoPtTkrnHTeRxJEmSJEmSJE1vY1WGvqb6/q6JJDYz8yrgXdXvfPXSh7aYIykLLb0X+AGwOrB9Zl43CY8lSZIkSZIkaRkzVjL0qcDtwEkD/L6Tqn+zzdIElZknZGZ0qkKrbZmZh2fm+pm5cmY+MzN/uzSPI0mSJEmSJGn6GCsZujkwLzPvnegvq1Z1/031byVJkiRJkiSpNcZaTX5N4NdL8DvnA09YsnAkSZIkSZIEwOzZMGdO01FMPyMj5fvMmU1GMf3svjvMmjXpDzNWMnRV4LYx9o/mjurfSpIkSZIkaUnNmQPz5i1MzqkWe86b13QI00/nOW84GTrWFPrxxFL8W0mSJEmSJEFJhM6d23QU0uSqsQp3rGQowKoRscGAv9OqUEmSJEmSJEmtM14y9OXVlyRJkiRJkiRNaeMlQ5d0unsu4b+TJEmSJEmSpEkxajI0M5emZ6gkSZIkSZIktYoJT0mSJEmSJEnTgslQSZIkSZIkSdOCyVBJkiRJkiRJ04LJUEmSJEmSJEnTgslQSZIkSZIkSdOCyVBJkiRJkiRJ04LJUEmSJEmSJEnTgslQSZIkSZIkSdOCyVBJkiRJkiRJ08Lyg/6DiHgw8BrgacDawJmZ+dFq32OARwI/z8w7hxmoJEmSJEmSJC2NgZKhEfEC4OvAGkAACfyja8gTq/27A98cToiSJEmSJEmStPQmPE0+IrYAvgusBnwG2JWSEO32feBO4MXDClCSJEmSJEmShmGQytCDgAcCL83M7wNExCLVn5l5R0RcBjxheCFKkiRJkiRJ0tIbZAGlmcBvO4nQMVwDPHyJI5IkSZIkSZKkSTBIMnQt4M8TGHc/sPKShSNJkiRJkiRJk2OQZOhNwPoTGPco4LolC0eSJEmSJEmSJscgydALgCdHxKNHGxARTwYeD/xyaQOTJEmSJEmSpGEaJBn6aWAF4NsR8ZjenRGxMfBlIIHPDic8SZIkSZIkSRqOCa8mn5mnR8RxwFuASyLij5TE53Mj4lfAE6vfd0xm/mJSopUkSZIkScu+2bNhzpymo2jevHnl+8yZTUbRDrvvDrNmNR2FlgGDVIaSmW8D3kzpCboFEJQ+ok8G/gO8PTPfNewgJUmSJEnSNDJnzsJE4HQ2MlK+prt580yOa2gmXBnakZmfi4jZwAiwMbAccA1wQWbeO9zwJEmSJEnStDQyAnPnNh2F2sDKWA3RwMlQgMy8H/hN9SVJkiRJkiRJrTfQNHlJkiRJkiRJmqomXBkaEXtMcOjdwA3AbzPz30sUlSRJkiRJkiQN2SDT5E+grB4/URkRPwDekpnXDBSVJEmSJEmSJA3ZIMnQE4EHAy+mJEV/B/wNuB/YEHgCZXX5U4EHAU8EdgZGImIrq0QlSZIkSZIkNWmQnqHvAB4HzAW2yMwnZeZLM/PlmbkVsEW1b3NgV8pK86cAjwD2H2LMkiRJkiRJkjSwQZKhHwTWAHbOzEt7d2bmZcBLqjEfysxbgDcCtwI7LW2gkiRJkiRJkrQ0BkmGvhg4JzNvG21AZt4KnEOV/MzMG4HfAhstTZCSJEmSJEmStLQGSYauAyw3gXHLAWt3/Xwtg/UmlSRJkiRJkqShGyQZ+g9g24hYc7QBEfEQYFvgn12b1wZuGuPfvCIizo2If0fEXRFxeUQcHBErdo2JiDgoIq6JiDsj4mcRMTJA7JIkSZIkSZKmuUGSoSdTVpM/PSKe1rszIp4K/AhYvRpLRARlYaXLx/i9awFnU/qL7gB8GXgfcEzXmAOBQ4CjKFPwbwPOiIgZA8QvSZIkSZIkaRobZPr6h4HnAVsDv4iIa4C/AQk8EtgACEqP0A9X/+aJwL2UVeX7yszP92w6OyJWB/aNiLcAD6QkQ4/IzOMBIuI84CpgP+DgAf4fJEmSJEmSJE1TE64MzczbgWcDxwJ3UJKfzwSeRUmG3gkcD8ysxpKZv8nMR2TmpwaM699AZ5r8NnRVm3bFciqlklSSJEmSJEmSxjXQwkbVSvJvj4j3AlsB61W7/glcmJl3LmkgEbEcpQr0ScBbgc9mZkbEZsB9wBU9/+RSYNclfTxJkiRJkiRJ08sSrfJeJT1/MeRYbqckQwFOBA6o/ntN4LbMvK9n/E3AKhGxYmbe3fvLImIWMAtggw02GHKokiRJkiRJkqaaQRZQmmzbUKbdvxN4MWXKfUf2GR9j7CMzZ2fm1pm59dprrz3UQCVJkiRJkiRNPUtUGRoRjwU2pfTyjH5jMvPEQX5nZv6m+s9fRMQNwFcj4uOUCtDVImK5nurQNYA7MvOeQeOXJEmSJEmSNP0MlAyNiG2A2cBjxxpGqdYcKBnao5MY3Qi4DFgO2AS4vGvMZtU+SZIkSZIkSRrXhKfJVwsZ/QTYHDgPuLLadRJwIWWRI4BTWLpEKMDTq+9XAucCtwC7dMWyCrAT8KOlfBxJkiRJkiRJ08QglaEHAqsAb8rML0TEV4CNMvPVsGDq/Fcp0+efNtFfGhE/Bs4A/khJqD6d0jf0m5n5l2rMkcAhEXETpRp0f0oi97gB4pckSZIkSZI0jQ2SDJ0JXJGZX+i3MzMvjYgXAX8GDgHePcHf+2tgT2BD4F7gr8B7gc91jTmSkvx8L7AWpRJ1+8y8boD4JUmSJEmSJE1jgyRDZwA/7Pr5PoCIeGBm/hcgM/8VEecAL2WCydDMPISSPB1rTAKHV1+SJEmSJEmSNLAJ9wwFbmPRleNvqb4/vGfcncB6SxOUJEmSJEmSJA3bIMnQvwOP6Pq5s5L7tp0NEbEC8BTg+qUPTZIkSZIkSZKGZ5Bp8r8EXh8Rq2fmLZQp8/cBn4iIlSjJ0r2B9SkrzEuSJEmSJElSawxSGfpd4B+UhZTIzH8ARwCrA8cDpwAvAv4DvG+YQUqSJEmSJEnS0ppwZWhmngk8umfbByLi98ArgIdQps5/MjOvGmaQkiRJkiRJkrS0Bpkm31dmfgf4Tve2iHhAZt6/tL9bkiRJkiRJkoZlwtPkI+K1ExwXwIlLHJEkSZIkSZIkTYJBeoZ+ISKeM5FxwKuWMB5JkiRJkiRJmhSDJEPvAL4TEVuMNiAijgX2Ai5e2sAkSZIkSZIkaZgGSYa+FFgJOC0i1u3dGRFHAftRFlHafjjhSZIkSZIkSdJwTDgZmpnnAK8H1gN+FBGrdfZFxKHAAcBfge0y8/ohxylJkiRJkiRJS2WQylAy8yTgQGBL4LsRsXxEvAd4P3ANJRF67fDDlCRJkiRJkqSls/yg/yAzPxYRGwL7AL8CRoDrgOdm5t+GGp0kSZIkSZIkDcnAydDKWyjT5XcGbqAkQq8YWlSSJEmSJEmSNGSjJkMj4v3j/NvLgXuBXwAvj4iXd+3LzPzQEOKTJEmSJEmSpKEYqzL0UCCBGGV/Z99Lqq/ubQmYDJUkSZIkSZLUGmMlQw+rLQpJkiRJkiRJmmSjJkMz02SoJElLYfZsmDOn6SikqWdkpHyfObPJKKSpaffdYdaspqOQJKm9lnQBJUmSNI45c2DevIWJHUkTM2/enk2HIE1J8+aV7yZDJUkanclQSZIm0cgIzJ3bdBSSpOnAampJksY3cDI0Ip4GbAesC6w0yrDMzDcsTWCSJEmSJEmSNEwTToZGxAOBbwI7dTaNMTwBk6GSJEmSJEmSWmOQytBDgZ2B24CvAZcBt0xCTJIkSZIkSZI0dIMkQ3cFbgeenJmXT1I808rsi2Yz5+Kpv8zwyPwRAGaeMLPROIZh9y13Z9ZWdpyXJEmSJElaFj1ggLHrAr8wETo8cy6ew7z585oOY6nNmzGPeTPmNR3GUps3f94ykZyWJEmSJElSf4NUhl6P0+KHbmTGCHP3nNt0GGLZqGyVJEmSJEnS6AapDD0N2CYiBl6BXpIkSZIkSZKaNkhi8xBgR+D4iHhbZv53kmKSJEmStAyYPRvm2IWoNvPmle8zZzYZxfSz++4wy2UHJGnKGCQZ+r/A6cDewAsi4izgauD+PmMzMz80hPgkSZIkTVFz5pQE3chI05FMDz7P9eskoE2GStLUMUgy9FAggQA2APbsM6azPwGToZIkSdI0NzICc+c2HYU0OazClaSpZ5Bk6GGTFoUkSZIkSZIkTbIJJ0Mz02SoJEmSJEmSpClrkNXkJUmSJEmSJGnKMhkqSZIkSZIkaVoYdZp8ROxR/ef/ZeatXT9PSGaeuFSRSZIkSZIkaeJmz4Y5c5qOYvjmzSvfl7VVy3bfHWbNajqKaWesnqEnUFaFPx+4tevniTIZKkmSJEmSVJc5c0ricGSk6UiGa1n7/4GFCV6TobUbKxl6IiX5+Z+enyVJkiRJktRGIyMwd27TUWg8y1qV6xQyajI0M/cc62dJkiRJkiRJmkqGvoBSRDwsIjYYYPwuEfH9iPhHRNwWERdFxKt6xkREHBQR10TEnRHxs4gYGXbskiRJkiRJkpZdk7Ga/CnAXwcYvz9wG/AOYGfgbGBORLyla8yBwCHAUcBO1fgzImLGMAKWJEmSJEmStOwbq2fo0ogBxu6UmTd0/XxWRKxLSZIeFxErUZKhR2Tm8QARcR5wFbAfcPBwQpYkSZIkSZK0LJuMytCB9CRCO34LrFP99zbA6sDJXf/mduBUYIdJD1CSJEmSJEnSMqHxZOgotgEuqf57M+A+4IqeMZdW+yRJkiRJkiRpXK1LhkbEdsCLgU9Xm9YEbsvM+3qG3gSsEhErjvJ7ZkXEhRFx4fXXXz95AUuSJEmSJEmaElqVDI2IDYE5wPcy84SuXdlv+Bj7yMzZmbl1Zm699tprDzVOSZIkSZIkSVNPa5KhEfEQ4EfA1cBrunbdBKwWEcv1/JM1gDsy8556IpQkSZIkSZI0lY26mnxEPGsJf+fqg/6DiFgF+AGwIvDCaoGkjsuA5YBNgMu7tm9W7ZMkSZIkSZKkcY2aDAXmMsoU9HHEIP8uIpYHvgU8Gnh6Zv6rZ8i5wC3ALsCHq3+zCrATMHsJ4pMkAbNnw5w5TUexbJs3r3yfObPJKJZ9u+8Os2Y1HYUkSZKkqWCsZOjVLFkydFCfAXYE3gY8JCKe2rXvt5l5V0QcCRwSETdRqkH3p0zxP66G+CRpmTRnTknWjYw0Hcmyy+d28nUSziZDJUmSJE3EqMnQzNywphieV33/VJ99GwFXAUdSkp/vBdYCLgS2z8zr6ghQkpZVIyMwd27TUUhLzqpbSZIkSYMYqzK0FhNJumZmAodXX5IkSZIkSZI0sNasJi9JkiRJkiRJk8lkqCRJkiRJkqRpwWSoJEmSJEmSpGnBZKgkSZIkSZKkacFkqCRJkiRJkqRpwWSoJEmSJEmSpGlh+aYDkCRJkiRJkhozezbMmVPvY86bV77PnFnv4+6+O8yaVe9jtoyVoZIkSZIkSZq+5sxZmJysy8hI+arTvHn1J31byMpQSZIkSZIkTW8jIzB3btNRTK66q1BbymSoJEmqzbBnIA17dpGzhiRJkqRlm9PkJUlSbYY9A2mYs4ucNSRJkiQt+6wMlSRJtWrrDCRnDUmSJEnLPitDJUmSJEmSJE0LJkMlSZIkSZIkTQsmQyVJkiRJkiRNCyZDJUmSJEmSJE0LJkMlSZIkSZIkTQuuJi9JkqRl0uzZMGdO01FMb/Pmle8zZzYZhXbfHWbNajoKSZLawcpQSZIkLZPmzFmYjFMzRkbKl5ozb543BSRJ6mZlqCRJkpZZIyMwd27TUUjNsSpXkqRFWRkqSZIkSZIkaVowGSpJkiRJkiRpWnCavCbd7ItmM+fi9jcqmjd/HgAzT5jZaBzj2X3L3Zm1lR3wJUmSJEmSBmVlqCbdnIvnLEg0ttnIjBFGZow0HcaY5s2fNyUSy5IkSZIkSW1kZahqMTJjhLl7zm06jCmv7VWrkiRJkiRJbWZlqCRJkiRJkqRpwcpQSZIkSZK09GbPhjlDaus1b175PnPmcH4fwO67wyzXX5CmOytDJUmSJEnS0pszZ2ESc2mNjJSvYZk3b3iJWklTmpWhklSTYd4oH4bJuNk+DN6wlxbXtuPHVNHW49xU4LFYU1ETx8qmjjOtfo+OjMDcuU1HsTg/DCRVTIZKUk06N8qHeYN7abQljm6dC4rWntxLDWnb8WOq8PlaMh6LNVU1caxs4jjje3QZZHsBqVYmQyWpRm29Ud4W3rCXRufxQ3XxWKypbDocK32PLoOGmckfdobe7LuWQSZDJUmSJEmSmtTWTL7Zdy2DXEBJkiRJkiRJ0rRgMlSSJEmSJEnStGAyVJIkSZIkSdK0YDJUkiRJkiRJ0rRgMlSSJEmSJEnStGAyVJIkSZIkSdK00IpkaERsEhGfj4jfRcR9ETG3z5iIiIMi4pqIuDMifhYRI/VHK0mSJEmSJGkqakUyFHgcsCPwp+qrnwOBQ4CjgJ2A24AzImJGLRFKkiRJkiRJmtLakgw9NTMfkZm7AH/s3RkRK1GSoUdk5vGZeQawC5DAfvWGKkmSJEmSJGkqakUyNDPvH2fINsDqwMld/+Z24FRgh0kMTZIkSZIkSdIyohXJ0AnYDLgPuKJn+6XVPkmSJEmSJEka01RJhq4J3JaZ9/VsvwlYJSJW7P0HETErIi6MiAuvv/76WoKUJEmSJEmS1F5TJRkKpT9orxhtX2bOzsytM3Prtddee3IjkyRJkiRJktR6UyUZehOwWkQs17N9DeCOzLyn/pAkSZIkSZIkTSVTJRl6GbAcsEnP9s2qfZIkSZIkSZI0puWbDmCCzgVuAXYBPgwQEasAOwGzG4xLkiRJ08Ds2TBnTtNR1GPevPJ95swmo6jH7rvDrFlNRyFJkurUimRoldjcsfpxPWD1iHhF9fNpmXlHRBwJHBIRN1GqQfenVLYeV3vAkiRJmlbmzClJwpGRpiOZfNPh/xEWJn1NhkqSNL20IhkKrAN8q2db5+eNgKuAIynJz/cCawEXAttn5nU1xahl0OyLZjPn4qlT5jFv/jwAZp4ws9E4BrH7lrszayuvMiRJU9/ICMyd23QUGpbpUPkqScusYU/ZGPa0CKcetForkqGZeRULV4YfbUwCh1df0lDMuXgO8+bPY2TGSNOhTMhUibOjk7w1GSpJkiRJGpphT9kY5rQIpx60XiuSoVKTRmaMMHfPuU2HsUyaShWskiRJkqQppK1TNpx60HpTZTV5SZIkSZIkSVoqJkMlSZIkSZIkTQsmQyVJkiRJkiRNC/YMlSRJUisMe2HYYRr2IrPD5qK1kiRJE2MyVJLUmgREm5INJhak+g17YdhhamNMHS5aK0mSNHEmQyVJrUlANP34HSYWpOa0dWHYNmvDDSRJkqSpwmSoJAkwAdHNxIIkSZIkLZtcQEmSJEmSJEnStGAyVJIkSZIkSdK04DR5SZIkLbFhLsA2GYuouRiaJEmSulkZKkmSpCXWWYBtGEZGhruQ2rx5w0vUSpIkadlgZagkSZKWSlsXYHMxNKndhllZDsOvLreyXJKWTVaGSpIkSZJqN8zKchhudbmV5ZK07LIyVJIkSZLUCCvLJUl1szJUkiRJkiRJ0rRgMlSSJEmSJEnStOA0+QHNvmg2cy4eTvOYefPnATDzhJlD+X0Au2+5O7O2ssu3FjfM1+5ETcZrfCJ8H0iSJEmSpH6sDB3QnIvnLEjwLK2RGSOMzBgZyu+CkniqO9mlqWOYr92JGvZrfCJ8H0iSJEmSpNFYGboERmaMMHfPuU2HsZi6q+809bT1tTtMvg8kSVp2zZ49vBW+O6uYD2uhnN13h1lOTJEkqfWsDJUkSZI0JcyZszCJubRGRsrXMMybN7wkrSRJmlxWhkqSJEmaMkZGYO7cpqNY1LCqSyVJ0uQzGSpJkiTVrM3TvcEp35IkadnlNHlJkiSpZm2d7g1O+ZYkScs2K0MlSZKkBrRxujc45VuSJC3brAyVJEmSJEmSNC1YGSq11OyLZjPn4uHNUZs3fx4AM0+YOZTft/uWuzNrK5uJSZIkSZKkqcPKUKml5lw8Z0ECcxhGZowwMmNkKL9r3vx5Q03USpIkSZIk1cHKUKnFRmaMMHfPuU2HsZhhVZdKEzHMFZcnajJWZp4IV2+WJEmSpMllZagkqdWGueLyRA17ZeaJcPVmSZIkSZp8VoZKklqvrSsuD5OrN0uSJEnS5LMyVJIkSZIkSdK0YDJUkiRJkiRJ0rRgMlSSJEmSJEnStGDPUEmSltAwV7of9gr2rkwvSZIkSYuzMlSSpCU0zJXuh7mCvSvTS5IkSVJ/VoZKkrQU2rjSvSvTS5IkSVJ/VoZKkiRJkiRJmhamVDI0IjaPiDMj4o6I+GdEfDAilms6LkmSJEmSJEntN2WmyUfEmsAZwCXAi4FHAR+nJHQPbjA0SZIkSZIkSVPAlEmGAv8LrAy8LDNvAX4aEasDh0bER6ttkiRJkiRJktTXVJomvwNwek/S8yRKgvTZzYQkSZIkSZIkaaqYSsnQzYDLujdk5tXAHdU+SZIkSZIkSRpVZGbTMUxIRNwDHJCZn+zZ/nfgxMw8qGf7LGBW9eNjgMvriFOSJEmSJElS4x6ZmWv3bpxKPUMB+mVuo9/2zJwNzJ70iCRJkiRJkiRNCVNpmvxNwBp9tj8YuLnWSCRJkiRJkiRNOVMpGXoZPb1BI+IRwIPo6SUqSZIkSZIkSb2mUjL0R8DzI2K1rm27AncC5zQTkiRJkiRJkqSpYiotoLQmcAnwB+AoYGPgGOCTmXlwk7FJkiRJkiRJar8pkwwFiIjNgeOBp1H6hH4RODQz72syLkmSJEmSJEntN6WSoZIkSZIkSZK0pKZSz1BJkiRJkiRJWmLLNx2AJEmSJHWLiFWBZwObAWsCSWmTdRlwTmbeZmySNP1ExPJA2i5RS8Np8mOIiBWA1TPz36PsXw14Ymb+rN7IxhcRawGPqzu2iFgDWDEz/9W1bSZlwasrM/PsOuOZiiJiB2Br4BHAhzPz6oh4FvDnzPxns9G1U0Q8ENiLhc/bvpl5RUTsCvw+My9tMLa16LpQGu14Uqep/D6tjssPz8yrm45FSyci1gWuz8x7mo4FFvQl34pyDPlyZs6PiE2A6zLz1majW1REbEU5zu3VglgCeDjwr8y8t+l42qw6b9yURZNnf2rq9RURGwPPA1YAfpSZf46I7YAjgMcC1wCfzczjao4rgMOA/YFVgDuAm4AAHgw8qNr2ccraAbVdzLQ5tolo23G3n7Z9zkfESsCxwMcy84qm45kKIuIBwFOBi9v2+dlmbXmttfFmT0SsA+wH7FDFtUq1644qrtOA4zPz+rpjq+Jr3XPW9tgiYmVgR2BDYD5wRmZeV2sQmelXzxelfcDHgNuB+4DrgEOA5XvGPQW4r+l4R/l/eHmdsQGrAd+vnq/7gJOBlYAfAPdXX/cBPwdWafr5qWIOykXvNsCDWhDPw4BfAfcCf66erydV+75CuSBp/Hnreu7W7X1PNBTLpsDfKAf1M3uet+OBExuIaXPgROD6rvdE5+t64KvA5g3E1er3KbAv8Bfg1uq98No+Y1px3K2ey7cCJ1Tvz32BVRuKZUPg7cC7gUdU2zarYvtZ9f0JTT9nPTE/uHqtPbMFsaxavRfuA/7bcww5GTi66Rj7xFzrZ/woMexYvU//W31udZ6z2cBrGozr4cDBwE+AP1ZfPwHeR0mwNBHTc6v34j3V6+v+rq97qn3b1RzTsynnufcCd1EuKHcF7qw+J44EfljF+8aaYzsMuA04oHNM69m/PvCu6rPiUGObcOyNH3fb+jlPSayM9rVu9bw9r7OtxriuBP460a+mX2Mte62tR7l+Pw74X2DNPmMeC5zla21BbAF8sDrG3V99vwb4e/We7Ww7jKqorqa4nkC5fvoX8KXqGPsG4I3Vf3+Rkq/5F/B4n7MpEdvG1XGr+3zoZuB5dcbhNPn+9gHeQrmr+1vg6cB7gR0i4sXZ0B2HlvsA8DTgTcCNlIuO7wKPp5xw/wZ4BvA1ykX7RxqJshIRb6ZcLM2g3B15MvCbiPgu8LPM/GQDYR1HuSjfDLgKuLtr3xmU57hREbFjFccIsBzwP5TnbTbleft/DYR1LHA1sBPlgN79vJ0DHFVnMBHxHEpy8c9VbJeysGpkDcrfdxfg1xHxwsycW2N4rX2fRsRulPfAN1h43D0hIl5MuVi6s65Y+sT2T2DHzJxX/bwBJXmxHnB5New1wNsj4pmZOb/G2J4EnEVJat8FvLt6n/4Q+DdwMfBMYJeI2DprrJKOiI+OsfuBlPfEmyNiJ4DMfHctgS3uGMpNsecCv6Q8jx2nUU6031VHINUsgIl43KQGMo6I2AP4MvB14DOUGwIdV1AuUmr/PKiOI7OBlSmv/T9Vux5JOf69JyL2zsxv1hjTKynHtR9TZjD0fiY8lpKEPD0iXpWZ36optMOAX1AS63dRigC+Ahybme/piv8TwJspF5t1eSOwf2bO7rczM/8OHB0Rt1D+rocaW9Hm426bP+cpiYGxBPCjrp+Xm8RYun2Hcp3SsRslSfZTSuJnHWB7yo2Nk2qKCYCIOHmM3StQJWIi4nqAzHxlLYEBEfFoSrJ9BUrBxN7AhyLiDZn5/a6hq1POf+vU1tcalOPV/pTPh5My85runRGxPuU1+AHK6/LQmuI6FrgA2CUz7+g3ICJWAb5VjZ1ZU1zQ3ues7bF9lJIAfSZwEbAR5Xzy89V/16POzOtU+aKcQB/Us21zygnsn4FNqm1N3Lmc6N3B+XXGRrnLu0/XzyOUF/jePeMOAH7X8N/3AMqJ/2GUg+X9LKxoeStwXkNx3QK8tPrv5XriejZwe8PP2x6UCpKvAq/rie8A4OyG4rqdkqjq97w9C7iz5ngurJ6jUe+wUU50TgAurDm21r5Pq+ftoz3btquOZecDa1Xbmjju3g/8T9fP36LcVX1c17Ytqm1fqjm204C5lKmZQUlozKckQ5erxqxESd5+o4Hn7SZKZUvv198o1Q/XVj83VtEC3AC8uvrv3mPItsCtNT9nvZWDo301VhlKuQlwxCjP2Y6U1gJ1x/R0SpXlN4CN++zfiJK8vQd4Wo1x/RE4agLjPgpcUmNcNwI7dP38sOrv+Oyecc8Fbqn5b3k7E6iUrT4jaj03anNs1eO29rhLuz/nbwP+SUkcvK7n683V83pEZ1vdf9cqxoOoPu97tq9abT+4gdfafODsPl8/r/b/trOt5ti+C5xHVQ0KrE2ZsXUv5WZGZ5yvtUVj+wcwawLjZgH/qDGuO4DnTGDccxr4TGjlczZFYtutZ9um1WdUbbN4XE2+v40pd8sXyMxLKBVV/wTOi4inNBEYpRLpX5Q7hWN9/aqBuP7Y9fMl1feLe8Z1Mv9N2hd4f2Z+gPJh3e1yyhuxKaM1gX4oZepak95H6WHzOhav+Pkj5YZBE+6iVAH1sx6l5L5Oj6P0G8zRBlT7TqD+6q42v08fQ0nsLZCZZ1J6Tj2Yctx9VM0xjWZ7yvTHBc9lZv4BOJzSy6hOWwPHZObt1evqaEqlyGeyaiqfmXdR7rbW/bl1LKXtzImUthAbdb4oU54C2LXatnHNsXVbmVJF289qjH5cngw3UpJ5W47z9c4aY+rnkZTKpH7uolTb1O0g4LTMfFVm/rV3Z2ZemZmvphxnDq4xro3pObaN4ofUe9xdg0Vf9zdU33urlm6l3Gyp0/mUKvdRH7fa9x5KwqNObY4N2n3cbfPn/KaUhOJBlOPX/8vMr2bmVyk3UaD01e1sa8K+lPPw27s3Zun3d3S1v077UyovrwZ2z8xtO1+U2VoAb+vaVqenAR/JzJsAMvP6zNyDMvPzqIj4VM3xdGvza20NSuHEeP5Sja3LDZTjx3g2Y/TzucmyBu18zqDdsT2cUsDXG0dQZu7Wwmny/V1P6SW5iMy8OSK2p1yonAl8sua4AOYB8zPzgLEGRcTLgRfVElHxH8pdt457KYnF//SMW4V6Lyz7mUFJ9vRzP6WKqgk/B94SET/s2tZJqO1FmQrbpDZe/EKJ6aCIOINytxUgq0WV3sLELkKH6RpKhdI544x7ejW2Tm1+n/6HkvRfRGZeFRHbUBIF5wIfqjmuflamzBTodSmwVs2xrEqpKu/oJDSu7Rl3LeXEozaZ+faqhcangD9FxHsyc05nd52xjOPXlMr3H/fZ9wrK664u5wMbdSfa+4mIzWqKZzTXAE+k/+fS1pRZNHV7GqWSZjxfpNyMqssVwEsY/zPhJdXYOvV7H7bhvbkfpT3Q1RFxOmWRh5spsa1BueB9PqVf7XbGtlDLj7ut/ZzPskDp7hHxTEpCeZ+IeEdmnl53LGN4MKWCu58ZlPOB2mTmJyPi65Qqxssi4ijg45n5X5p/ra1MqSZcRGZ+NiL+AXyjWkzs+LoDa/lrrXOz5/zepHtHQzd7PkdpP/IQyuysKzpFJ9WidptQWpAdRClMqFNbnzNod2zQ/HHCZOgozqf0b/p6747M/G9EvAL4LOUNV/cf8VeUN/tExGQG0uOPlAuR7wBk5v2UPli9RmjmIqnbnynTzs/ss+9ZLKyWq9t7KBXJfwD+j/La2jsitqBMwX1qQ3F1tPHiF8qU7l9Wj/9TyvP2fkrV5YrAy2qO52PAZyNiI8oHdr8LpV2A11Mautepze/TiyjJgG/37sjMm6oVjr9NOXFs4sPzLRHRSTDeSlkko9e61F+JfC3wKEqVAZl5X0S8lzJlv9u6lKmTtapmVWxffW4eHRH7AW9jYS/HNjgYOKO6ofItyutrx4h4ByUZOtE+nsNwGvDaCYy7ilL51ZQvAR+IiOuAU6ptUb1P301p2F+3lVj0xsBobqXem56HAN+OiC0pC3KN9pkwk/J6q9MREXFj9d+dc8aPRkT3seIhNcdEZl4aEY+j9PB/ASWpuGa1+ybKc3g08LnMvNnYFouxrcfdtn/Ok5k/j4itKH/fORFxHs0cz/r5PvCxqh/tqdU16QOBnSn98U+tO6As62i8MSI+T+kHu3dEvItyw6BJl1N6ES52rZeZ36+Km06lrBnRiJa+1lp5syczPxIRSblW/iBwX0TcVsW1GqVdz63AhzPzyLriqrTyOZsCsUHplX5vn+1n9m7PzHUmI4AYYybntFV9GM+i9Na7cYxxBwHb11n6HxEPBdbLzN/V9ZgTUS368JDMPGWccScCv8rMT9cSWP8Y3kiZMvpByknXJZQeZ+tRTsD27rqLXndsj6I0L96Ocvf8RsoH+aGZWXfFyCIi4kDKDYA3Uy5+b6GcRKwBfBP4YGYe21Bsa1Km6/Q+b8dkZt3TJTqLBBxKmQrTe5ANygXJoZlZd7P71r5PI2IX4B3Ai0Y77kbEcpQbUdtXU/7qiu0qFv87npKZ7+gZNwdYOzO3rzG2kyn9rl41zrivUv72O401bjJFxEqUY8g7KUm/lwHbZubPmoqpIyKeTlk9+6mUk+qkuqOemb9sMrY2qioxjqfc0LmPcnP9Hspz9/nMrHu6JhExj/K+PHSccYcCL8nMkcmPasFjPoOSFJ1JmVbaOZ4E5Xk7G/hQna+1iJjLAAmnBqa5agjadNxt8+f8KLGsRakyez3lGNfo51VEPJhS1f5iynv3VkoiKCiJ0tdlZu9Mn1pFxF6U5+xqSqFEU6+1wygL+T2qqlTtN+ZxlBkh62ZmnYsU9YulNa+1iFiDhTd7NmPxmz0/oqGbPVXy/+mUKfO9cZ072t+6hrjWoL3PWStji4gPDDI+Mw+blDhMhmo6iogDKNWDq7CwGuIO4LDM/FhjgbVYGy9+266qDl3sgyczr2wuKk2WKKu4X5OZvT1YJ/MxV6AslHTXOON2Ay7PzN/WE9mYsWxESTxuCrwhM3/TcEgLRMTKlPfrzTnKiqVaqLqB130T6qzMbKT6LCLeDnyYshBh35YuEfFcysyLgzOz9p5xEbEipZK7+zPhL5l5d92xTDURsTyl5XbTrZampDYfd9uuSpptAvx8rCKZmuN5MmXK/Hzg11U1cCtExOqUdQY2Bd7XRGwRsRqwAWWRsFHXXIiItSm9dcdrY1KLiNgceDQtea1JyzqToQOKiD0oUxNqn244nrbG1uK4VqNMGe5cxJ3X9B3VqaC6+H0upTdioxe/Gp62vk9hQUXrRaP1u5GWNRGxKqWdS+dmSlKmNl0GnFMtmKEuVUXZ9yiLmJ1V/fffqt2PpEwl3Y5SHffiqk2IWioi1qFM8duB8j5Ypdp1B+V9cBpwfDVNt3Wq6a/7ZuZeTcfSVtVN9odQktytSvy0OTZpuvLcSMNmMnQA1Yn23cCT23ZHta2xtTWutqr6O72M0o9wsZ5mmfk/tQfVclVl3NsY+3mblD4jS6NqebF5S6YIt/Z92ubYelXTEdfJzKtbEMsDKH2C3tR0i41ebYgtIr48yPi6EhrVBfhhlLYfq1ASPzdRZjA8mLKq9x3AxymtNmo7iYuIVYA1qsUfurevS5mCuxlwHWWmwK/qiqsnlgcAb62+NuzZfRVlUZnj2pgIjYgNgJmZWUsv2Oom04TV+VkVEU+gHCOS0tfvUha+D9agvNZ2qn5+bmb+vq7YJirKQqYnNz39djRNfl5FxAuAtwPPoCx0A2Wm0XnAlzPza3XH1NHm2GDBTYJ3Uqagrw+8LDP/GBFvAy7IzCYWQVlEdRz+M7BTjrMYYN3aHFuvpm6oRMSGlN6+KwLfyMxroizaeCCwMXAlpQ1ZbS372nxuNFFtvkHWRGwR8f5BxmfmpPTTdQGlwdW5KNGg2hpb43FVVW8TVtfFSLeqj9n7gd9R+pi2ctpcRGzK6EnHulduB/gE8CbgB5S+a6183vp4NmUxjbZcKDX+Ph1Dm2Pr9kLa8zcNSn/C1RqOo582xLZlz88bAGsD/6q+1qm+rmdhdWEdDqWc7B8GnJSZ13TvjIj1gd2AD1ASRYfWGNvHKQmCBc9dRDwM+C2lgup3wFaUVXKfnpkX1RgbsGBRuE8Cn6yeq/WqXf/IzN5FxdrmycBXqG9hrLmU19BYx9fs+l7nNcOxwAXALqO1q6iS89+qxs6sK7ABksiPm9RAll4jn1cR8QnKDey/ALNZeHzdkNK//4QqkfwyynnmNzLzxdM9tiq+/6EsFHo9cA7ldf/AavfDKUnSuhdh6ycoz9kDxxnXhDbH1mtD4HVAnQmqJ1FmVqwE3EVZiXxH4IfAv4GLKecBr4iIrTPz0ppCO5T2nhtN1IbU/PccwIbUH9tbJjius4ijyVBpKZzQ83P34gW926CZVXrfAByZmQc18NjjqvrYfBPYnP4XT0kzSaBdgAMz8+MNPLakKSgzF6wgGxE7URJoL83Mc7u2Px34KqUPZV3eCOyfmbP77awSekdHWU34A9R7wv9MFv8sfTel1cwLMvOnVbXZ6ZTFgl5SY2yLqZ6rtidAm9R7Q6DX+pS/77aUCpw6PZmyyM6ofXsz846I+Dj1r6A9l/GTyB2tq05qUkS8htL64M3A7N4K7YjYH9ib0p/+k8A2lBYX0zq2Lp+g3PR/GfAAymI7HRcAu9ccj5ZAy2+ofBiYR7lZcgfwUcriXBcAO2fmfdXn/E8oBTxjLt45RK09N2rz37PNsWXm2qPtqyqBX0FZ/G8tyk2gSWEydDD3Uy6Mbmg6kD7aGltb4uquQNqMcjf8S8B3WVgF9HLKHZFX1h5dsRplBfS2+jxlysTLaFflagCtmSIXEX+d4NBVxh9Sm7a8T/tJSgXErU0FEBFnTXDoqB/sarUjKQvqnNu9MTN/WU3jOYpyMVCHNShVSeP5SzW2To9g8WPtSyj9fH8KkJl3RcRxwDE1xzZhEfFYSsXhpFQZ9Hm8Vi74M9oU0WqhnfdQqkRurv77M/VFBpTPosdQKpTGshmlWqlON1JWoD5inHHPA46e/HAW1fLPq/0obSo+129nNbV1dvUefRvlXPMpxrbAk6j6HVfJgm7/plzLqP3m0t4bKlsDb+z06I+IoykVx5/pLF5Xfc5/BvhIjXGtQXvPjebS3r/nXNob22KqNhavBt5LWYDtVGBWZv56sh7TZOgAqg/C1487sAFtja0tcXUvvFJVEnw6M7sv1m4EDo+IuygXcc+uOUSAk4AX0N6E6BOB3TLzB00H0uMLlDuTk3bXaEDrUaaN/nyccZsCL5r8cMbXlvdpP1V1xrYNh/Es4HLKxc9YFmsd0ZTq7v22QOsWN2thbBtTKiD6uYPFe09OpvMp09LOH23BsIh4ECVBVXdvuPvpOqGOiIcDGwHf6Rk3n3bfGNicUjlSSzIU+C/wS+CUccY9kQaPw1VPuPdSPk+vBQ4AvpCZ/20gnM9RqnweQpkKf0WnB1yVBNqEMivkIODwmmM7H9hovH6D1fPZhDZ/Xm1B+ZuN51RK39+n1LhwYptj6/gPox9bN6b0bG5c9Rm/EfDPcQfXrCWxtfmGyqrALV0/d4okru0Zdy2lNUNd2nxu1Oa/Z5tjW6Ba/+P1lL/fI4FvA7tm5sWT/dgmQyeohX0SF2hrbG2NC/gfRj8o/AH4UI2xdDsTOKpaWOenlIqMRTT8vP2FFiV7ulwHvDoizqb/85aZ+dka45kHzM/MA8YaVPWdakUydIo1lF8BeHjNiz78Abg8M3cda1C1ANo36wlpfJl5TtMxjKZlsf0GODQiLsjMBSf81cJAhwJ19r7cj7JwzNURcTplhdSbKXfs16BUwj2fkmDbrsa4AP5IWZH99Ornl1Vx/ahn3CMoMy5qVS1ANBF1J2ovBO7NzE+PNaj6TKg9GVotVvQ+yuyYvwL7ACdm5j11x9KRmR+JiKRcGH0QuC8ibqO83lajtOS5FfhwZh5Zc3inAa+dwLiraKblUps/r+6jzDAaz4rAbTUnG9scW8f3gMMi4jwW9jPN6rrhXZTZbq2QmXX22h5IC2Jr8w2Va4FHUSoKO8nj97J4y5l1qbd9SpvPjdr892xzbJ2F/GZRjl8zgK8DH6lzcVWToeNocZ/E1sbW1ri6XEO54Di9z7430FyPsc5J6YaU6Wm9mn7e3gl8NCJ+k5kTnQpeh09W3zegf0VvAnUmQ39FqViZiLYsDNSKhvIRsS+lQfo6lKqW4/us3Pok4FzqfS/8ilK1PZ6JTkUZmoj46ADDMzPfM2nB9GhzbD1mUfpfXRURF7GwdcpWlKmHr6krkMy8NCIeR0lIvYByUr9mtfsmygXA0cDnMvPmuuKqHAV8r0o6zqf0p/sd1UVTl50oCea6XcXEpnnFBMcNy6+Y2KIEtwO13eSJiKcAB1MWhrmEkuA7qbdXYlMy84iIOIbSm3EzFn8fnNtE1WpmfoYJtA2oFhBrotK3tZ9XlBtLu1EqlcayG/XehIJ2x9ZxIKVw4pKuGD5HqZS+ktLDsVFV5fYhlL6r85uOp1uLYmvzDZWLgOdSWskBkJlH9Rn3Amp8H7T83KjNf8/WxhYR7wHeAaxOWTzyqJoLXUoc1awTjSIifk65KHo3o/RJbOoOU1tja2tcHVX1xUmUaUTfZ+GF786UE+5dM7N32l8dcY3biL3h5+3XlITjmpSD5s29YzLzf+qNqn2qO/TrZebvmo5loiJiOeAeYOvMbCKJQUTsBswBvkFpM/B0ynvy/4DXZuad1binUC6Ca0uGRsSjgMdl5ph9IyNiZWCdOt+nEXFln82dZFXvsTczc+PJj6poc2y9qrvTe1EWbplBifHXwFc6rz1BRLwK2JdSifEb4KDsWqU9Itam3Gg8KjNrrTqLiP9Qekx+cZyhzwDeXdcxpKpmXyUz/1PH401URNxPSYjNpVSUjXVBUPcMCy2hln9e7USpbjwCOCIzb+vZ/yBKq4b3UhZr+aGxLSoiVqQkN7ajLF53IyVBemJDLS0WUZ1P3g08uanzydG0Oba2qD6vlsvMu8YZtxulAv239USmZU3XOch5jN+2Iseb7bDEcZgMHVs1LaeNfRJbG1tb4+oWEU+i3GHtvfA9qrqbrx4R8ZXxxmRmK/tOamwtSYZeCJyVme/u2rYdZcrEVcALM/PfTSRDp5KIWJ5yst/Y33I0bY5NU19E/JRyEfeccca9HDh5uh9DqguRico2Pl/VTYx1mqgmGU+bY2tSVQ10OKUv4VksnO79SGAm8GDgfZk5yMyCZT62qaIN55OjaXNs0nQTEXMZYJZOZk7K+hFOkx9fW/skQntja2tcC1Qfgk2tGj+qiHggpTppa0rftX0z84qI2BX4fWZe2lRsbU50RsQ6lGn8neftpZn5x4h4G3BBZtbdTLuviNgDODUz6+yzM66WNJR/DKVnzAKZeWZEPJXSk/C8iNihicCirAb9tMy8oInHH1Cb73C2ObYpJSK2onw+TGT69XTxM0rLg/FcX42d1jLzAU3HMAQvBE6m2RZCo2ldbBHxLOCihvpdAmXKbUScQekB+EzK8wTwD0pl5qebSlS1OTYY+1yk+ky4oI03LTQxVf/+M4A31dkzcSLaHFu3Js+NImJVSru2TluXpMyivAw4p7favE2aWI8hM2fW9VhjMRk6vrb2SYT2xtbWuFqtWnDqp5Q7zxdR7kKvVu3unJTt0UhwXaqeO+tTko6/a/KkuornfyjP2/XAOZTnrdP78uGU1+MrGgmuS3VH+iuUauRWJUOhFQ3l/0OZ8rWIzLwqIrYBfkjpFdrEAmdt6e2qIYmIfwHPz8zfRsT1jJOozcx16olswjak9Jau7YQ/Is4aZPx4FZrDlpkfYgLHh8z8GTApFQZLIyJeAHymyXYRWnZV5yBnU85BGq2Ka7Cf6rjaHBtjn4usANxbVyDdIqK7V2nnJsusiFjkBntmfrC+qIo2x9ZHsOi1X5u0ObZuG1L/uVEAh1HWPFgFuINynReUa/oHAXdExMeBQ7PmadktXo+hFUyG9lH1Rux+oa4HXBYRV9Fwn8S2xtbWuDoi4mTgvZn5l+q/xzJpfSnGcSxl8YSdgNtYtKfeOZTFKxoVEW+mLLgwg/L3fjLwm4j4LvCzzPxkA2F9gnKC/zLKiU73SewFlEU+2qIVSbWIeDhlsbBnUd6rUCofzgG+nF0ratfoIuAlwLd7d2TmTdWU+W9T3idWGGppfRq4ruu/W/Gaqiq3JuJxkxpIf//u+flpwMMo791O7+0nUZ7XVlTjTzEPokzHbVQbKoAGSLyvPamB9NHm2CagFecgmrhqwboNuzY9sWrB0G0lSgKoX5/uOnTfXOq8xrYGbu3ankATCcc2x6YJavm50aGUZONhlEUIr+neGRHrUxZe+wDltXZoXYFVvV2PY9H1GE6IiBfTtR5Dm9Td29dkaH9/ZNELoz82FUgfbY2trXF1rE25awrlgq0VF749ngnskpk3VweCbtdRqhwbExEHUKpujqIkH7svCOYCr2Lhyu51ehLw4sy8v7o71+3flL+3KtUH42xgZeBi4E/VrkdSPqjfExF71734CfD/gHdExEMy88benZl5Z0TsDHwW2L7m2ABmVBcl42pJj7g2HuM6Go8tMw/r+u9DGwyl11wmvspzrc9jZu7S+e+IeAOltcU23a/36j3yA0q1fmOirDq72FS1zKz93KSnMmksTVzE9dOGCqBnURa5vGSccU20ZGpzbFNSlYD/M7BTE+/RsbQgttezMImSlHOgfu4E3lhXUN26e/l19Qaf1Ya+nG2OTQOZS0vPjSjvu/0zc3bfYMoik0dHxC2U9/KhNcb2LuDorvUYju5aj+HsiHhhZvbe6G6D2m7cmQztIzP3bDqG0bQ1trbG1dH9YdiWHhV93EVJUPWzHn0qbGu2L/D+zPxon2Tt5cCmDcQEZXr1aBUYG7Ow+qtp9wNfBW5oKoCIeDrwNUqF5ft621hUfUM/DPy/iLi6zl6rmfkt4FvjjLmPifUEnAz/N4ExQTkJq3Ol+95K984JxEcjorcdQ61V722OrVtEPHasfszVyWJdKwffCPyYsqLxWJ4HHD354YzqfZST/0US/5l5dUR8ADgG+ELdQUXEXpSLjfVZ/GQ6I+Ia4LDMHHdBwCE6FLid8hk/lhUnP5Qp4w+UlYrHPCZExCuAum/ctTm2sSRl9set4w1sQFCqHx84zrgmNB3bZyjnbAH8Hnh19b3b3cDV2YLV5GnBzc4xtDm2Tv/+bVlYpNAaLYitzedGa1DWSxnPX6qxdWrtegzjqO29ajJ0AFXV2UOBG+ru9zCetsbWxrgiYqXMHPWiJCLWzcwmFpL5KXBQ1by902Q5q0WV3gKc1kBM3WZQpkP2cz/NVUF8DzgsIs5j4cqfGREPpXwAfLehuBZRvf6b7kN1EHBaZr6q387MvBJ4ddUE/GAWLh4gOICS9G+bfjcCzqF8vjc9TbPNsXX7TUQcAny8+3MqIlajtGXYg/oS3OcDG41XgRQRm9UUz2hmMHpy4IE0UJEfEW+hJGFnAycBl7KwP/OalErR3YDPRcQqmfnpmkL7G3BGZu491qAWJs+a9CvgBRMYN9FKoWFqc2yjysz7aWGvXI0tM6+n9MTv3LC+NjPvHvtfaarKzHOajmE0DcfW5nOj84F3R8T5o62jEREPAt5D/S2E2rwew1isDG2TiNiRkhjYivKc3RsRFwGH11gtMqVia2tclXkR8brM/FXvjoh4HaUH5UPqD4sDgF9SpuP8lHIi/X7K1LkVKT0xm/Rnyip5Z/bZ9yzGnzI2WQ6kxHQJC5O1nwM2ofRPmugUxUnVgqlWUHr8vW4C474InDC5oSwqIj46yPiuKR91+UUbV5PvrnpvmzbH1uNgyongi6vPhr9GxPaU98HylD7OdTkNeO0Exl0FnDi5oYxpLnBURPwlMy/sbIyIJ1NaqTRx0fQOSsV7v2PJDcAvgF9ExNWUhfXqSoaeBzx1AuNakTzrqgBq8ubPRykXaeM5DdhokmPp1ebYJqyJ1YO1dDoLXVbTvTegTxFCZjZ1Lr4gBMoNoDZUqfZqRWwDnu9mZr5n0oLp0eLY2nxutB+lz/bVEXE6ZfX4mymvtzUoN2KfT3ndbVdzbFNuPYZqFuADxh04JNGSYr3Wiog3UaYonEmpMOssEvAyygv6zZn5eWNrf1xd8X0f2AH4GPCBzLwnItahVJO8CDimgURLJ7Y1KU2Yt6PcybmR8jwe03RPj4h4I+Xv+kHKgfMSYEfKFP5jgb0zc05Dsa1I+ZDsfd5ObMm0oU5D6HuArZvqVRQRdwA7jHd3NyJmAj/MzAfVEVf1mP0a/28AzGfRxcSgnIDVtuJyRNwPPLWNyVANR0Q8ltLGYnPKzaidKQ3n35KZvVP6p71qQYDvA0+gtCLpfM7PAH5Huenz95pjugPYMTPnjjNuJqVCfpUawiIingu8IDPfNc64DYBtM/OrdcSlZVdMYPXgiHgKcG5mtmL14Ih4JPDPzLyn6Vh6tSW2KoF9LOWmdt/K/Lb8PTW6lp/vtja2NouINYB9KLMGOv3KocxOuYwyJf1zmXlzzXHtQrlR/KJ+6zFUY5ajWo8hM1txAy8itqQ8j9dRilHun7THMhk6toj4G+WkeZ8++z5HOfGe0KIaw9bW2NoaV08cr6dMp7sa+DKlMugm4HV19kmcaqpFlN4PrMLCCpY7KD3YPtZYYFNAS5Kh84BTcpwFYyLiUOAlmTky+VGNGkOn0X1jz1dXLK1PhkbEw4E3UKq016s2/4NSofflzLzW2MYWEc+hVHw9EPgN8JzMvKXZqNqtmgXyZEoSdD7w68xspKVLRJxP6cn12tFOnKvWPf8PeFRmTqRac9qLiK2AfTNzr6ZjgQWrCl802nTEJrUhtiiLJM5h0dWDd6b0vV6wenDbkqEaX0R8CNgTeDdlAZR9Kf2IXwM8inLzrumWWhpQm853e7U5Nk1tVY/3HbJrcc5q+9cpLY066zD8FnjuZCWSaytBncLWYvSeg9+hmenUHW2Nra1xLVAtnrAtZdGfYyjTJh5vInRsVcJzXUpF6Guq7+u1JREaEctHxCq9X03H1SInAO+qpgD3VVUxvROoc4GRftp0p25bmmsDMa7q4vdyysIxD6U0uP9T9d8fAC6PiKYWJ2ptbB0R8cCIOAb4CXAq8PIqvj+M9V6pU0Q8ICLOiohHNxjDWhHxnYh4fmdbZp6WmYdl5j6ZeRhwXzWm9p6hlOPWzsAlEfGRiNgjInaOiJ0i4rURcTjwR0rbg/0biG+q2pCJtVeZdNVNxbMpi0K0Soti66we/OrMPDozX0pZVOQZlNWD12oyuIhYLyIOiYjjIuJ/qxlRvWMeGxFnGdtiXklZkK2zOOEFmXliZj6P0gbkxQ3FtZiI2CginhOlz2mrtDC2Np3v9mpzbK04N9IS24NyE32BahbqqyjXq48HdqFUJk/ajF17ho7vbEqfxJ/22fds4Gf1hrOItsbW1rgWiIidgc8D/wR+QClt/2ZE7J2Z/2oophWAt1HaCaxP/15ATVxg9sZwK3B603F0RMTqwEcoz9s69O+51njlQ9WHbSPKa64pxwHPBX5cncx/j4WLTj2SkkjYjtKb57hGImynBJ5UisomMDiztmNcRDwd+BqldcX7MvOvPfs3Aj4M/L+IuLrOGz5tjq3HPEry8zWZeVIV2xnApyjvldn9ZjrULICZwGoNxvB2YGNK0ng0P6Gs9vpOymIBtcnMX0bECOWk+dXAI3qGXEOZqvaxzJzIyq+Tqkqe3Q08uYmKm6qKcSIeN6mBDK7xvqpjaENsrV09uEpY/ApYgXLusTfwoYh4Q2Z+v2vo6pTrBWNb1COAP1Xnk3excCoulErROcCb6gqmum75OKU4YkXgM5n57oj4NPC/VJVdEXESsEfVC3Dax6ahasO50YS0bZZFt4Zi24zFe7e/lpIgnVW9J/8QpYXQLMoiwENnMnR8xwJfrO6knsLCvlgvpfSdfGNEbN4ZXHPj6rbG1ta4AIiIr1LebLOBd2bm7RHxNUrD5UsiYt/MbGJF109QTmJ+QEkot261yIhYiTLVtV+yNjPzs/VHxecpvV6/SKnea93z1tFpft/g499X3Qh4a/V1bM+QqygVU8dNZn+WKWgu4y9ukl3f6/xsPYjSluRV/XZm5pXAqyNiVUo7kBca22L+TOnVuOAOdXXTZ6+I+C7lGNN0MrQNXknpXz1qpUhmZkR8ntKjqtZkaPX4f6FKBlSzAtaodt2cmXfUHc8ENJk8m8vEF21qdXWQFtHm1YOPoswU2DHL4h1rUxJW342Id2fmMQ3ENBVi67iWhce0Kynn42dUPz+qgXjeDbyRMsPuRuAt1fP2Esp0/t9QKpKPphyXP2NsmsY2pMyyaF0ylGZiW52SIwLKLC3KYpPf6Lk58VtKdeikMBk6vk4F3Juqr94Txx9X3zt9DeqsQGtrbG2Nq+M5lMUMFlS3ZOaFEfFE4HBKP7EmkqG7AAdm5scbeOxxRcQzKO0PFjvJriSlAXPdng+8IzO/2MBjjypa2iexSnJ+EvhklEVQFsRW94InE9SGi/Atx9m/PuXEe1tK7+E6PY2JTWH9ImXaSZ3aHNsCmTnqavGZ+YOI2KLOeFrskUysXcSllBPrRlXJzzYmQLs1eXy7kXI+dsQ4455HSRi0QVI+Q29tOpA+2hJbm1cPfhql4uemKp7rgT0i4jzg2Ih4ZGa+reaYpkJsHXOBZ1LauXwBODoiNqGsUr0rpU9snV5LWYj2YwARcQFl9t/+uXDBrj9GxLqUJEudCcc2xzaaNpzvjqbNsTWqzbMs2hwbZd2Wx1E+N6FcL69AKQjrtgpw52QFYTJ0fNs2HcAY2hpbW+Pq2CIz/9O7Mcuq4++qKoGaEMDvG3rsiTiWsjjF9sAl2Z4VP28HWpXEq/okzgZWBi6m9EiEkkz4APCeqiVDE0n3BarkZyueu4g4uXdT9f2jEdGbYMzMrK3PZGb+sd/2apr3eygJv5ur/677hHolYCKL/NxKn9Ybk6zNsS0iIjYGDqBUijyEkij6OaX33l/H+rd1qKq6t2XhsaQJd1Lu5I9nVSbxxHUsEbEiZVrkDixc0TUp78/LKC1Avp6ZbZlB0GRl6PnARqMd3zoiYrOa4hnt8TcArs3Me6qbedt27VseWDczrza2Bf4f8I6IeEj2WT04M++sZoh8lnI+V6eV6XODIjM/GxH/AL5RJaeOrzkuaHdsHe+jKkjIzE9G6d3zCkrsxwEfrDmeRwLdC0teVH3vXWzyF8BbaoloodbG1ubz3TbH1k9Lzo3m0t5ZFnNpb2zfAg6JiPmUVeOPAG4Dvt8zbhvKDK5JYTJ0DFW57vqUBtVXNB1Pt7bG1ta4umXmf6qT1Jez+IXvdzPz3IZC+wKlaXC/Xqtt8BjgZZn5u6YD6fFx4M0R8ZM2TO2eCn0Sq756+9G/avX4hv7Ga/fZdg7lc6rfvsZUyYH3Ut6v11KSaF+obqjU7U+UC/Bzxhk3E6j7mNzm2BaoeiWdDdxFaVNyHfAwymfEqyNi2yZ6OvbKzPGex8n2G0pf4R+OM+7F1dhaRcQjKZ+fj6Rc4J5DqdQOytTSzYDPUW5GPb8NbUtodiHT0yjVU+O5itJGqClXUqr2epMYAE+otjfVF7x1sWXmtygXmWONuY/Sg61ul1MqG8/s3ZGZ34+yYN2pwJPrDox2x9aJYz5dC45k5icoLbaacjsLp+1DqVD9L4snlZej/pxDm2Nr8/lum2PrqwXnRm2eZdHm2I6gHE87sxhuB/buVOfDgvZ8e1FyJJMixmj9JCAi7qRMqW76jbaYtsbW1rg6oqxy+xPKKmVXsfDCd0Pgd8DzqukxdcTy5q4fl6MsOnEl5YLu5p7hTfXkBKCaKvS5zPxqUzF0xfLRnk27UnqFnk3/56223nUR8UPg3swcc1XPiPgesHxm1tonMSIOoHwA3Up5vroXUJpJaUJ+UGdqkRaKiCdQKjNeDvwVOBI4sckq6Yh4OyW5/tLM7HsjJSKeC/wfcHBmfsrYFovhbEpSaofuvpJVz8nTgPsz8zkNxbYhpdJxU/ovqvfKGmN5GWUV4zeM9jkQEXtQ2h7smpn/V1ds1WP/gFI19bLM7LtQXVXZ9R3ghrHaI9QlIrakJGmvA37Rhht6bRMR9wNPzczFEo7VzcefZuYq9UfW7tjaKCIOo7QPetRoNw8j4nGUi/d1M7O2RHKbY+sTx7qUJPxDgH8D5zXReikifgmclZmHjDPuncDrMvPx9UTW7ti09Fp2bvQDYM3MfPo4414OnFzzca21sXU99iaUGxeXZ+nX371vVUox1l8y8+bJeHwrQ8d3MeWN1sbEXltja2tcHccAawFPycxfdzZGxJMpF0nHMLFqiWHoN91mA/qvVNlUT86OfYATIuKqFiS6d+n5+X7K8azflK+k3oU8WtsnMSJ2oiwS8FHgI5l5S8/+1SgVj0dGxCWZOV4F2LQQEU+hLPCzI6Vn4muBk1qSuDgOeC5l1fOzgO+xaIJ7Z2A7SlLvOGPr63+AV2bPAjuZeUdEHE0zPaQ7FavnUFZB35TSRuXBlBt3f2cSpw31k5nfjYhPAV+JiP0oSYGrKcfYDSj9m7cGPlF3IrQyE3j5aIlQgMz8Z5X0GLNybpgiYi9Kon2Xnu1fB3ZjYf/030bEcyfrhH8qiYjHAyNdm3bsM11/JcqiXrVOj2xzbND3ZvGYMvPdkxVLH0dTbqiMWhGdmX+MiCcBm482ZpK0OTYAImI5ymfl3ixacXxfRMwG3lLzeUnnemo8nZuedWpzbFoKbTs3ot2zLNocGwCZOerfKzNvY2GLi0lhZeg4qju7J1BWRv1xZt7bbEQLtTW2tsbVERE3Avtl5pw++15NWUn7IfVH1j4RcT2L9hB5EOUk/x769ALMzHVqCq21IuIOyoXvmAnjiJgJ/DAzH1RHXNVjzgWuzMzXjzPuK8CGmVlb/98BmnwDkJk/m6xYelXVP0npvfNdxu6rU3sFd0Q8AHhr9bVhz+6rgE9Rjmu1J2/bHFtHRNxAWVRhsRPBqtLxE5k5kYuqYcd1FuVkfy/KMXfrzPxNlBWhvwG8KTN/PNbvmKS4dgLeTunj9MBq83+BXwKfzMwf1B1TFdd1lL/j18cZ9xrg45n5sJrimgtcnJlv6dr2Rkpf6a9QprluSpnC/8XMPKiOuLpiWZVyA7Zfj9VzqouRWkXEByj9tWHsfmdXUt4HZ4yyf+jaHBtARFzZZ/MGlOnVvb1yMzM3nvyoNAwR8WHgXcAhlJt0nZltu1L6hX4sM9/fXIQaRLR0odUpEFsrz420dKop8c+itFvsrfadtGsrk6HjqJJBq1D+KEnpP7XIk9ZUAqitsbU1ro6IuB3YLTNP7bNvZ2BOZq5af2TtExGHMkBD5cw8bPKimRoiYh5wSmYeOs64Q4GXZObI5Ee14DH/Q6mAO32ccc+nTJd4cD2RLZJwHKvJd+e1mJlZ28yGKraJyoanz61P14lrlkWyWqGtsUXEVylV5a/MzF90bX8G5YLzp5m5ZwNx3UjpS/sT4D7gGVn1tK6qDd9a5/GjT3zLs7Dy5t9N3/iMiI8De1AStf/XW+kbESsDLwU+SWlv8a6a4ppPqdj6Vte2c4BHA4/I0r+x01ZiVmbWUnUWEQEcBuxPOWe7g4U9Vh9Mufl5B6Uv96FZ4wVDRKwArFjFcgvwHODXPcPubqJFSZtj66d6n95NlTBoOh6gs77ALvRPtHx7tGnqxhZXA8dm5mK9/SLiXZTPhA3qj0yDisUXWu2eNbMFpYd5Iwuttjm2Kr5WnxtpcNX59nepFojrY9KurZwmP75PU//qWhPV1tjaGlfH+ZQFFM7KzNs7GyPiQZTp1Oc3FViUlXD3pEzbfDhlcZZfAV/NBla/HS+h1xZR+sC+ncWft2Mz87qawzkB+HBE/DLH7pP4TsrU6zotB0wkYXEv9S/sseU4+9cH3g1sS7lgr01mNrnIyUCqBGMrkoy9Whzb/pQp/OdUN/OuA9apvs6lvFebkJSkSkbEvygXIp0F/q6hJNMaUyU/6z6+juW9lJXsT6BM5f87pcIxKf2oHkFJYH2pGluX1YF/dX6oki1PBb7RSYRWfkup4KvLoZTX/mGUth/XdO+sbl7sRqmCzGp8LapEYieZ2Krjb5tjG0Wrzscj4tnA14F1Ke/PTqLlacAbKW16Xl3n7I+pEFtlHcqU4H5+X+2vTZtbMrQ8ttYutNrm2Lq0+tyoo5oZdQalUrVVi0q3MLZjgb9QChMuqfNmopWhmnairKR9NuVg+hMWXvg+n3KhNDMbWE07Ih5L1Zid0h/jX1VcT6JMb3pBZl5Sd1z9VBdJDweubbq6q/rgPo2SwPspC5+37YEVKFPWf1ljPMtREis7AOP1SXxxndODI+J8SqP9d4wz7hOURSGeVk9kY8ayEeUmxesoFyfHAJ/pvpFRQwxrUe6Szx6tqraqpp0F7JOZ/+o3ZjJVx7X96F/NcnwTx7TRtPAkDICIeAFlZcsFN1Qy8ycNxvNzyo2wL0bE/1H+rq+mVHl9EXhYuujDYiJiPcrn+WMo076h3EC5DPhJZv6j5nguo9yY+0z18/bA6cDrs2shqojYgVKxWsuKvRHxD+CwzJw9zrhZwAcyc72xxk2WiNhxvDGZeVodsfRqc2wd1TnJgqmkDcfyOOACyjnuwb1JxYh4JiXRshWlr/8fjW2RGH4PXJiZe/XZ92Vgq8x8Qo3xtLYlQ8tja+1Cq22Oreuxp8S5UZuOvb3aFls1a/dl481cnJTHNhk6MVXF3paUlftupPR/qr1Sr5+2xtbWuAAi4qGUvjuLXPgCx2TmDQ3F9HPK1LQXZebVXds3AH4I3JSZA/VVHLaI2Ac4iJKw7Sz6cC1lMZ7PNBTTbykXujv1VPquCvwAWD0zn1RzTK3skxgRe1KSevtSetMt9gFQ9bL7NGUKTCPNtKs4NqNUb72K8hr7GPCFJqaoRcSHgBcBTxptqmg15fQiypTqOhfsIiIOAI4AbqXc6OlOvs8EVgMOysyP1RnXaNp2EtZWEfFa4JGZ+eHqZtlPKMdegNuBVzSZrNXEVMePN1KOu9dRjv+bUv62N/WMe25dN6Gqi4+dM/PMccZtB3w/a+xv3fP4o31OLjgWT9b0ufG0ObaONh1vI+JkYAawbU9VdPeY5SifY//MzN2MbZHHfyVwEuVG+7dZWMyxC2XWzG7d7TgaiK91LRk62hRbNc37ddmnXVvPuJ2AE7LGnuVtjq3rsafEuVGbjr292hZbRJwHfK77BnFtMtOvcb4oUzNvovSluL/6ugk4wNimVlxt/gLupPSQ7LfvpcCdDcf3/urvORt4AaVi9QXAFyhVme9v8Hl74Sj7XtSC52194CnV1/pNxlLF89nq/Xg5ZfXUt1RfRwOXVn/jzzQY3xMoK7reB1xBaeC+QsPP2eWUKsbxxr0JuKzm2Haq/p5HUhL/vftXAz5SPZ993ycNPJ/LVTE/qelYumJ6ILAPZQr16cCjq+27Ao9tOr4qllWB51Gqy9dpOp6p8kW5cfdlYIOGHn8VyqyPzrnQrZSkRfeYlSiV3IfWGNeZ1Wv9QWOMeRDlQvOMBv9+j+zz9UTKjIFLKbMYjG30GDvH2ye2IJZ/URIV443bBbjO2Po+/vOA8yiL1t1ffT8X2L4Ff9/Wfba3MTZKL+ZnT2DcTOB2Yxs3llaeG7XpNdf22IARYN5EXnvD/rJn6DiqhvZHUFb57F2574iI+G9mHmts7Y+rV0RsTpnu8gjKynjzI2ITyknOrQ2EdBWLr57WsRJw9Sj76rIvpQL0kJ7tP46yiu++lNUs63YJ5W5+Pw+nTI1sTLasT2Jm7hMRpwNvo/zNuleDPg84MDO/V3dcEfEUSg/VHSl/09dS+tg1tsp4l0dSYhrPpSxeCTzZ3kmZLnRgv53VseygKCuDvotSZa4uEbEppcXGgynVvTMpSWSAZwIvpCzM06gsq3o3Xu0wBT2A0ov7eBr4HM2ykNMLqvOLNYDL+5xjLE+5kPtLjaHtR2lXcXX1mXAZi/ZY3YzSbuC/lNYujcjMv/XZ/DfgtxFxH2W2ys71RlW0MbaqwnGRTdX3j0ZEb7/tzMxdawirYzW6+ueO4TpKr906tTm2BbJUvP2kmoH0UOCGlpwnaeL+RKnkPWeccTMpRQF1anNsfbX13Cgz74uIbSkFFa3Swth+SrlxfFZE3ENZnHAROUmLb5sMHd++wJGZ+b6ubZcDP4uImynTYJtK7LU1trbGBSyYPv1l4BWUEvHlKVUb8ykVVFdTkgZ1OxD4eERcmZm/6myMiKdSkowHNBBTt5WB0ZrGn0OpLmzCW4CvRcRtlFXc/xtlgYqXUp7TRpIYbe7hmJmnAKdU0yQ6K/fdkKNMDavJeZSL8LmUFQXXAP63zD5fTGbmZ2uLrFQfT+TiZ9VqbJ2eSLn5NJ6TKBW3jes6CftT07FUjqUc93cCbmPRfmLnAEc1ERRARKxEOYasz+I3y+p+H2gpZOafx9h3GyURX5vMvLTqk7gPZZbHdizeY/VoytS1m+uMbQC/pcaFnQbUVGz9es6eQznXraUf7Rj+BmzN6OeSHVtTCgTq1ObYAIiI1YBVM/PaKgHavTDbw4Fbq2OJ2u0E2rvQ6gm0N7buGKbEuVFmjpdUbkzLYmts8W17ho4jIu6i9HA8o8++7YFTM3O0ar5J1dbY2hpXVwyzKdVnrwV+CdxF1TOj6qn4rszcooG4fk2pQFuLcoLTWQhoHeDf9Jx8Zeb/1BzfiZQpEfv02fc5YLXMfHWdMVWPfT3lblLnNXUbJSkF5W+7yEI7k3VnqSem1vZwjIgtKf1n+1arVouPPCQzL645rkEqGzJr7MMWEWcCf87MN40z7vPAJplZWxVVdRPgxTmxvn+nZOZqY42bjqreibtk5mm9fZQi4lnA6Zm5cgNxPYNyY+Chowyp9X0wVbWwN9aUuIhru6ov/ZcoU9FbsXpwR5tja1JEHEp1kzhHWRC0mrXVuWl8mLEt8vgnA//JzL377Ps88OBsoJdpVwydY+1WmfnbpuLop02xRbsXWm1tbF0xtvLcqCrE2YX+RTDfzgbWPGhzbBGxB/DzzOy32Fn3uPWAN2TmpMw+tTJ0fFdT+lAsltijrFbd5NTltsbW1rg6Xga8LTPPrg763f5GOdg34Q/VV1v9iDLNakPgFBYma18KPA54d3StrJr1raDa2N2kfqqm4kcBH6W0FbilZ/9qlIWBjoyISzKztmnLEfE8yonNkxl96v6awK8i4lV1TpfPzAfU9VhL4NPAyRFxbo7S3Lv6UH89pR1Inf5A6Y07ZjK0GtP48aV6/b+e0nM4gQsp0/ybrGa5i1L53s96lKnDTTiWMm16e+CSzLynoTimtKoS+fXAmCfcdZjIRRylr7Mq1Y3i3s/4FSktSTrHk0a0ObaW+iil7chvIuJr9E+07AH8rhprbIt6FvC/o+w7jZqPHW1uydDm2KrPpJ1ZuNBq72zJq4D9aWCh1TbH1qV150YR8Wzg65SFnG5m4bHjaZQFFI+MiFdn5niV59MpthOAWyNiv8z82hjj1gc+wCS14rMydBwRsR/lTfdlFl+5b0/grdncKtqtjK2tcXXFdzvw8sz8cZ8qoJ2BEzNzjabia6s2V+61SUTMBa7MzDEvgiLiK8CGmbltLYGVxzwNuCoz3zzOuOMoFY471BNZ+0XEx4F3UKay/phyUyeBDSh99bYGPpGZtbbYqKrZZ1Pak3wx+3yoR8QbKQndvTPzxBpj+yewY2bOq37egDIFcT0W9il6DOXk+pmZOb+u2LpFxEnAo4HnUCrL76H0k76EUtl9aWa+oYG4bgdelpmn1/3YmhwR8RtKD87/pSUXceOJiK2AfTNzr4Ye/wQWTzjeRbmhd0pm/rH2oCptjK2qZp+wui+AI+JBwOGUxREfxMLnLygzeb4IHJyZt/f/DdMztiq+OynVeIv1R4yI51Nec7XNYoiIswcZX/P5bmtj6xUR69NVrTfazK0mtDG2tp0bVe1mLqBcHxzce0yNiGcCH6acVz6lzs+Flsd2P+Xm0uMprbz26S0gqsY9BTh3svIKJkMnICL2pmSk16V8MAbwT8qqn180tqkTVxXbXOCfmbl7n2ToicBDM3PHMX/JNBQRA1XMZv+FBZZ5EfEf4JXjfUhXJ64nZ+aD64kMIuJG4LXjVaNGxAspNwXWqieyMWN5AKXK/E2Z2Wiz9qrq9+3ANiy68NQvgU9m5g8aiuuzlJXsrwBOZdFqlhcCmwKfHy8JPglx3U+ZJnpB9fO3KHein9854YqILSjJ5dObSDhWMTyC8jdcmdLEfVfg+5SK9xUp/w+1J2oj4jxKv8a+1chaXESsTklqrwj8MDNvj4i1KTcLNgb+CszOzH82FF+rLuImIiJeTvmsamLa4QMoCyHeks0sbDmqtsZWHXc7592j6Vz8ZWY2MkswIlamXIB3T9m8KDPr7ru9mLbGFhG/B87OzLf12fcpYLtsoM2XVKe2nRtVVcgzgG1zlLUXqnzD2ZT8Q22tLFoe2/3AUykryR9DmXH66sw8r2fcpCZDnSY/AZn5hYj4IqVM9+HAtcDf+1Xg1K2tsbU1rsrBwBkRcQbwLcpJ4Y4R8Q7KokoD3VUfpmoK+msoyYvF+qpm5ivrjqnrsVub3IyIp1Hu5I/2vNXZX3U54N4JjLuXsspxnVahzwp9fdxSjW2DYNHVvRuTmacCp0bE8pTevgD/zsyJ/L0nTWbuE2U16LdRkj7didrzgAPrbHkwhu0pPZkX3HnOzD9ExOHAIU0FlZnXRMQTKFO/tqNMv3o45fPhmMz8d0Oh7QOcEBFXZbsa3bdSlNXazwQeUW26smoN8lPKgmx/AV4C7BMRWzVU4fJ7yoVJ4waoIHzcpAYytgdQKsd3otw0aZO2xrblOPvXB94NbEtZKKsRVWLxF009/lhaHNtxwOci4m7KFNNrKZ9Vr6N89i/W019TR8tu/o/Q0kVgad+50UzgzaMlG2FB+4HjgONri6qYSXtj6zz+7Ig4B5gDnBMRHwY+XFcbBpOhE1Ql8a6pvlqlrbG1OK5fRFlM5EjKGz+Aw4Dzgedm5q+biKuainYO5fnalHLR9GBK76m/A6OuRFunKhG0Af2Tjn2bzk9yPNtTeiWdCTyD0tt0ZeDplOet7g/KNvdw/DvwWODn44zbnHLSoz6q5Od1TcfRLTNPAU6p7vB2+hHeMNYJUANWBi7ts/1SFiaXG5GZN1ESso0lZfv4KeWmxFkRcQ99bmRkDQvCTSEfofTD2g64EfgUJUk1H3hCZt4aEQ+lHJsPoVRT161NF3FzGb+CsKORG9mZeW9E/I323JxboK2xjTbNMSI2At5DSZzdXP13rS2rovSV/0Vm3hJdPeZHk/X1nm91bF2P+YWIeBil7/z+XbvuokyB/UKd8bS5JUObYxtDK27+x+KLwHZmkz0SeDmwZ0Q0sghspW3nRqtRqhrHcx2w+iTH0qvNsS2QmZdXFaCHA+8Htq/6mE76OjMmQycgItal3Pldj/4rf76n/qiKtsbW1ri6Avgl8MxqKsyawM2ZeUeTMQEfA74D7EWZuv+Gaur+NsA3aK5hOwARsQKlF+zrWFh51quJPqEfpFz0vofyvB1SPW+PBE6nXPDV6XPA7Ii4hLF7OL4ZWGxF0En2A+CdEfH1HKXnVUSsSumNeWqtkWmJRcSWwE2Z+fcq+Xldz/71gIdk5sUNhPeWiLi2+u9bKVVJvTpN3bWoVi0ONwU8A3h7Zv4ZICIOpiya9J7ONObMvCEiPklJJjShTRdxN1KSxUeMM+55wNGTH86ojgLeFxE/z8zrG4yjnzbHBkBEbEZ5vb+KUkl4APCFbGZl4x9QpkVeUP33WJJ6zynbHNvCB878cFXF9TTKTcR/A+dl5n8aCGcuA7RkoN68w1zaG1trRYsXge3StnOjv1HWDRgvob41ZTZBndoc2yKqQpP3RMSPgROB30XEPkzy4pe+8ccREbsBX6UcTK8H7u4ZkpQkTO3aGltb4+qnmgrTeH+iygjlA6hTFr4SQGaeGxGHUSpZm5yK9X5KNeMbKKvS7UtpKP8a4FHAWxqKa3NK64NOn6wHQZnWHxGHUqp+a1s0JjNPqO5ufR54V0SM1cOxtrgqH6EsZHZuRLwXOLNzQRQRK1Iqqj4CrMr4F8i1qKZvbAv8qelY2qiaBvw94MmUyt9+1gR+FRGvqnm6/NWUBFXHrZSLzW/2jHsRpRK+EdWNnrcBL6Mka/tVvddegZmZh9b9mFPcmpQq0I5OdXtvi5e/0j8pX4c2XcSdD2w0WiVhR5VMa9LzKFOBr4qIiyg3e7qfw8waV4Lu0drYqtYf76NUcv2VUpV8Yja7aNdGlIRs57/bpM2xLaJKfLahNUObWzK0ObY2eyfw1cw8sN/O6sbiQRHxcOBdLKwarU0Lz41OojwnPx5thmREbE5JItc9Fb3NsfWVmWdXRR5foOQbzp/MxzMZOr7DKdV6/9t7d6QF2hpbW+NaICK2ZvQL36ZOXhO4OzMzIv5FSZydW+27hrLacZNeCRwKnEw5OF2QmRcBJ0bEV4EXU6ar1+0u4AHV83YtJTHbmQZ+Cw1c9La1h2Nm/isinkP5+/0AuDcirqe89tYGVqCsOPiczJzItIpatGA6aZu9HfhKZo7acqHqy/klygrWtb3uMnPDCQ79fzTbTuUTlCnTP6BMCeu9gaepofO52XEf5aZUb0uLdSiJ+VpExB7AzzPzyrEu4qoK7joXETsNeO0Exl1FjTcU+3gocHnPz23Rutiqm7EHAzsCl1D+xifV1X9tLNnVez5b1oe+zbH1U7XEuRt4cmb+pokY2tySoc2xjaYlN/+fyMSKIU6iXA+qVNG+EPhNRHyNcp7dXQSzM7AHZeX0umd5tjm2UWXmzcAuEfEGyjn6pHE1+XFExM3AyzNzvP5/tWtrbG2Nq6MquT6eMrXkCvpc+Gbmtg3E9XPK3bgvRsT/UVoMvLqK74vAwzLz8XXH1RXfHZRVoH9e/ffOmXlGte95wJzMrP1CICJ+Anw/M4+vkrJPpTT9vhv4OHBvZj617ri64mtlD8eqn1JvY/S5mdmaRQOq6TivB55ESdheSHmP3NZoYC0SETcCrx1vqlJEvJBSFdRob842iojrgI9m5sebjqVXyxaHa7WIOAW4MTP3GmfcccBjM/O5NcV1PyX5ul9mfm2McZO6Yqqmh1i4mvxc4LuMXYmcmfnZOuIaS0SsQjnObUap7j6xLQnJtsZWnVveA2zdVDK0V5+WDB+juZYMi2hzbG0SEbcBLx7vGr5ae+OUzGykv2nbzo0i4kGUYrA3UGYodo67QZlF+UVKX9++LcqmY2wR8WzgovGu6SJiY+CZmfnVyYjDytDxfZfSzLiNib22xtbWuDreBXyFUrna6CrQPWZTFksCOAj4CXBZ9fPtlJXum3QtZUVeKP07nkVZ9RBKNWZTPsnCKU0HUXpdnl79/HfgpXUH1PIejsCCZvFtaBgPQET8E9gxM+dVP29AiW89FlbevAZ4e0Q8MzPn9/1F088q9Ok72McttGyhj46IWAlYJ2tolD5aCDQ4TX800b7F4druTUzsNX4lcMrkhrKYv1IWTnoBsE9bZ81MBdVnwz9bdv4GtCq2oEz/He/GfgK1JUMj4uPATpm5ade21YBfU2Y/3URZOPSdEfE/mVlbhVybYxtDKyqaWtqSAWh3bN1adPO/zYvAAu08N6oSiW+vWpBtxaKFJhdVbfka0dbYJjrrLzP/SnnvTgorQ8dR3RH8EiUZdRZ9FnnIBlYUhPbG1ta4OiLiVuAlba1c7agWsnka5QB/ftPTlqtptv/OzHdHxNspCyqcTJn6vSvwjcysc4pfXxERwCaU5+2yzKx1ymt3D8fRpi5HxBaUJv1193DsKyIeQElsvykzr2gohvuBp2bmBdXP36K8/p/fme5UPW8/Bk5vw2utDSLiz5SqxtnjjHsTcEBmblJPZBMXES8HTm6qIi4iDgcePl5FYd0i4jzglyxcHG7rXHRxuI9k/X2HNaDOsY3SF/wYynT+V2fmeT3jWlEZ2obPg9G0YWrwaNocW1tExG8o1WQf7Np2GHAI8MbM/HJErE1ZaOzizJxIG4dlPrZ+2lAZ2qclwxG0pCVDy2ObyM3/x1BalNR68z8i9qQU5+zL2IvAfhrYu4lzEM+NNEwmQ8cRESOU/pejNdPOBi/gRmhhbG2NqyMiTgbmZeZHmoqhV1UZ9X3KAXxuw+H0FREzgId2EnwR8Q5KterKlJPDDzZQYr8SpaLrrZnZhmbyRMRpwFWZ+eZxxh0HbJKZO9QT2ZixtOGkujcZejPwrsz8Ys+4fYBDMnPd+qNsnygrY+8APGm09191Y+VC4EeZ+Y4aw5uQFiRD3wrsT6kY/CmL38BrZCppRPyH0tv6LOBeYGZm/rzatxtwWGY+pu64poLq4vIZLFoB8fPMrL03bfexLSIeA8yhLO7xYeDDnYvzFiVDG/88GI2xTW392rpExB8AMnOLrm2vpRzfNja29mpzS4YpEFtrb/5HxGcpMy2uoMy2G20R2DGvcyYxvlafG1XXps9i9HVJGmtN0ubYmuI0+fF9hTK98IXAn2nXwgptja2tcXV8GpgdZQXhfhe+5Cgrrk2WzLwrIp4MtLJXWPVcPYqSLAAgMz/BJDc1Hk/1vK1BWUm+LZ5KeY2N58c0uyhF260MXNpn+6WAfS8X+giwC3BuNQXmzKx6YEXEisB21ZhVmVhT/KGJiLMmOHTtSQ1kfJ+svm8APLvP/lqnknZp3eJwbVfdtPsMZVGAB/Tsvj9KX9H9mmqzkZmXV0nPw4H3A9tHxKsbbBGhaaIlFb/LU45rnZgeAjyWxc+ZrgJm1BcW0O7YgAVTqTcF1qR8Lt0EXJFlhe+mtLIlQ6XNsXXbnnLzf8GiT1kWvjycUplcq2zpIrBdWntuFBHPoCTfR1tDo7HXWptja5LJ0PFtCrwsM08fd2T92hpbW+PqOLv6/gHKxUi3oBwMmkhKfh94Ce3stXof5Q7cjvD/27vzeNun+o/jrzcKkQbcNPwiqSh+SVJUpAyZi/BT4aKSqAglZa5Mv0w/V5kipUSZkkJykaG4QhIZM2bIeGW6fH5/rHXu3XffPZ3r7O937bPfz8fjPs45e69z9uece87e6/tZa30+3FdzLM1OJtXZOb/uQLKBr+FYoy/niQ2khiOtJjRvoMUCxrCKiAclfZT0d3AOME3SQ6TnsYWBlwFTgI/WUGpjZdKRr26LS7MUv69SRDQnzUpxHemo3AWk14VvSrqXtMC4L1BbzeESSVoQ+COptvW+pLqg/yT9LSwGbAB8BbhE0gci4pE64oxUT/IbkkYWxK7LO97v6PyZRvq//Cfporw0JccGaX77EaCWhifZP5i5p8C6+W3z9cIEoOq/z2Jjk7Qa6XplRdIijxrufiEfG96n6vJfBb92Fh1bC8Ut/kfEmcCZKrMJbMlzoyOA20gJ7hujrNq0JcdWGydDu/szabdIiUqNrdS4RlTeKb5H5wEHS3o9qTD0AzQd66ir1mpEvCjpFuB1dTx+F3cBm0i6mtY/t6q3/d9D2k1waZdx7yQd3axdRLwgaVXSxUBd7iIdax3xJGmX7S+axq1Lgc1u6hQRNwPLS1qZlIBsPBo8OSL+WFNoNwA3R8SmnQZJ+hSz/j9bgc3hCrcHKfn/3xHRvGh3PXC9pONIO1u+TSqNUJuIuEip2d6xpMWMK+uMZ0Qhrwct5ZIC7Uow1ark2ApyJHCspFeR5mpfIS0CNC9mr0H1zVmKjE3SJsDPSaeJtiYlyB4lJURfTZpvbgqcJ2mziDitqtjsJSl28V/lN4E9jHLnRu8gbQi7rsYY2ik5ttq4ZmgXkt4DnAgcTPtmQP+pNqqk1NhKjat0uYZMJ3XXWt0AOBDYuMYXwFmU9nMbDzUcSyZpbeDukn4HrTVJRwMfj4hFu4zbCDitzp0ckiYAOwPLA/8FfDIi/ibpq8Cfo6nZTR2kepvDlU7SHaS628d2GfcF4JsRUUniqrk+XJsx25DKzsxXd81QG59KqWmay7lsT0rkXQNs3/h6npsU/ZW007HSI5slxibpb8A5EfGNLuMOAtaNiHdWEVeXWEooydBSCbFJupNZa5ie2Xw9IOlnwMIRsXqFsQ1iE9hi5kZ5l/YPI+LHdcXQTsmx1cnJ0C4aEi1tf1A1Nn0oMrZS42omaS1mXPh+JyLuyjurbm2xq6SKeDomDAAi4p/dxvSLpKtIRw1fS9px1mrn6grVR1aWnFT5C/Aw0KmG48KkhGnVR5dnkmtQbQUsR/r/vBr4cURMrTMue2kKmfC/FXhXRJzdZdy8wIS6nt8krUA6bvUQcDEwkdwRWtIBpEZnn6ojtka5KdB9+Zi1NZH0DLD6SCOFDuM+DFwQEZWUZ5C0CjCl23OqpMVJnYNruVCRtBjwWVKpo1l+NhGxScXxrAvsRDqWfCMwKSIuaRpTS9OpkmPrpNffRSuHpKdJi4oXdxm3CvC7iJi3msg6xlJE4r2VkmNrVsfivwazCWwxcyOlJtInAl/t9jdbtZJjq5OPyXe3NZ070NWp1NhKjQsASa8j1ed8L6kQ+luAH5KO6W5FKsy8XdVx1Zno7NENVH9sqaucwG7nReBx4B8jCcl+K7mGo6T7gLUj4tr88ZuBS0jHqm/Owz4L7Cjpw3U1GelEqRPiBDcc6ar2+nARcRupPlG3cU8zo1tpHQ4l1ZLekFSPbauG+/4MfLqOoBrlC7g7gPeRdizZrB4mLdh1K1GyWB5biV4vOiLiduD2PofTkqT3khYC7iYlQ68HXkX6Wd1DaoZZZTyrk3YnXZnjWhG4KJ+82CVq3MlRcmzd+AJ4IN1C6ifQ7f/uE3msjRM1lUYbqCawBc6NLiD1g/iDpOdp0UMiIiZUHlVScmy1cTK0i4g4se4Y2ik1tlLjavB/pM7KS5KSoY3b6X9PaqxUuZyYaudF4ImI6KUxT19ExFbdR9ViMjMn39Xi46dzrbivVVH8u+AajosAL2/4+Puk14FlI3exzMdffkfqdrxN5RF2tw5wKvU0ObNRkPQCsGKn48GFWA7YINdGVtN9/ybt/ipBc2w2s/OAr0s6vUuJkq8Dv600svIdDPyKtJj9PLBN3hm9Eqle4UEVx7MXcFLjvEPS1qQGEIvn2ojPtP3s4Y2tJZ8AGWh7AL/MdRxPBW4ilR8L0nH+JYGNSYuftZ9gsLFT0+L/IDaBLWluNIlyN4SVHFttnAy1YfRxYMuIuDWvKDW6hxmJq6rdSZcnKUl3AUdExKGVRDQYVgOOJzVPOpt01HVhUufgtUl1AJciFdmeCnyrqsDysblLug6sz+qknSx/G7khIm6Q9F3SBNzspShpgtrJ46TnjFYWp6l5gBVrb9Ku+ymS9gPOjognYXoSdH3S89prgX3qCrJQy5Jqgo+UOZoHICIul7QPcABpkawqS9O0MB0RP5J0HenExR/yUfU6lBzbuDgBYjNExFm5odkepM0cL2PGtYJIixcXAatGxGX1RDmzKLsJW7GxtVDH4v/ANYGtm6QtgEsj4o6I2LvDuDdS8SaTkmMrhZOhPZC0KfB52tdRqm3XSKmxlRpXg3a7AxcCnq4ykAafJl2M3MCsSb2lSXUmlwcOkkTVCVFJP+pw94ukVcJrgdMr3m2wA2mHw95Nt58naW9gYkSsJ2kuUi3AypKhjUqo4djCvKTOpM3+DixYZSCS/tDj0HZJK2swYBP+up0F7JOLy48c1w9JCwG7AKfXFtkMQYqtknIfgygi7s6/8z8FfkL6P3ws3/1qUuLgWlKJknvqiLFgATwXESHpQWBR4PJ8393A2yqO5xlgvuYbI2KKpA+SdgFfTkqAV63k2GB8nACxBvk00Zq57vxbgdfkux4FbquzYUw7JZdkKDm2ApwD7Czp5C4nLHYidXGvWwlzoxOBJyXtEBE/6TDuTaSFtH0riSo5kXJjK4KToV1I+jTwI9Iv00fz+3OQdhg8Ro31MkqNrdS4GlwKfFnSbxpuG1ll3RroNSkz1lYj7WT5ctPtR+dC1StFxBaSpgJfJNW5q9IypGZTE0g7pUaSta8DHiTtrtoB+K6kj0VEVUmYNYCj2tx3GSmZAWlnxDcriai12ms4Zl+WdH9+/0nSC2CzN5D+Vqu0MmnXyo1dxlXS9GQ8KGTCv0iXEiDT1VgHdjfgQtLv3pR82w9J3UnvAPasKa7pIuJFUn1r6yAne96Tm4l8mJlLlFzS3OTGpruRlGS5CLgC2EnS1aQyQl+nh9q/Y+x6YC3SwvBMIuL2nHQ8lzTPrFrJsbXiEyDjRE56tlrALkbJJRlKia3wxf/vkcouXC6pUxPY+YH9a4hvJgXNjW4HTpT0cWC7OsvatVBybLVzMrS7XYH9SEeEvgAclesovZJUiPY/jm1g4hrxDeCPpB2YZ5BeED+fV8qXJhWPrsPGwEZt7jsb+GV+/7ekZGjV9iQlYNeLiKtGblTqxPwT0v/7X4HfkOqPbVBRXI+QEu2/b3Hf+vl+SLVtHq8oplLdBXyo4eMnSb/vv2gaty7pgq9KNwA3R8SmnQZJ+hSzxmsNSpnwZ2f0MGakzm8tdWAj4lFJHwA2J030nyI9bxxHqg3o3ZgDJi8ElLAYMCiOIe0GhVRS5nxSbUJIfw9V1yL8FbC7pNdGxCPNd+ZGhauQnl9Wc2wdFXMCxPonLzp+JCIq23BSckmGkmOj4MX/kpvAFm5bUrmZQ4AVJX0mIq6oN6TpSo6tdk6Gdvc24LJ85PAFYAGAiHhS0oGk5ND/OraBiIscxw25c+repGPTL5C6CF9IahpQ1xHmZ4AP0jqp98F8P6TEQcujC312ELBXYyIUICL+nI+jHxgRS0k6ADi84riOkLQY6chGc83QkZ22qwJXtfoCwyIiFutx6E9JRyOr9CdSPd9ugsGpRdl3hU/4IS2S3Nx1VM3yjpvj879a5XqDO5F24d8ITGre0Sjp/cDlEeFGYqMk6WXA62vciVycxuNzEfF3SUsBK5Euxq+s+qI3Io4Gju4y5inSyZBKlRxbg1JPgFj/vA84gWpP35VckqHk2Ipe/I9Cm8CWPjeKiGMkXQz8DLhY0neA7+Tdq7UqOba6ORna3ePA3Pn9e0lFhSfnj0W9q6qlxlZqXNNFxG2kXUAlOQbYQ9KCzJrU+yLpxRrSBcp1NcS3BO3rqf4HWCy//09m/P/3XUQcKele0hH4SaTntWmk2nAbRsSZeej+pCN/tRikGo4RcW4ND3sQaVdxN+dSxpGYUpQ84Qf4Y5TfTX66XFv45c23R0QlJxokrU6qYXolaWfjisBFkg4jHXV1J9AOJG0PfI0ZF0tHtqiTtRyppqMTyW3kXeTn1x2HzZaST4DY+FZySYaSYhuIxf8oqAnsoMyNIuLmnJD9LulE5ep5J2bti68lx1YnJ0O7uxr4b1JB9LOBPSVNIyVV9iQ9oTm2wYiraBGxh6RHSDupdmDGi+C/gF0bGib9glSHtWp/AfaS9OfG3WWSXk8qujxSa29R4L4qA4uIM4AzcpOihYGHmle7IuLhKmNqpZAajl1JmgeYUOULZF6g6FqXLiKeZkaTG5tVSRP+gSBpAVINrA1JSbRWFx9VJc72Ih3N32rkBklbA0cAi0vaLCKeafvZQ0zS/5C6Lf+c9Hr1QVKdrA2AzfNzh7WRn/dXJu0ibD6eGRHxgxpiWpY0H2renXQxKdFdx8IwUG5shZ8AsVHKJ+wGRcklGUqKbeAW/wtoAjswc6OImAZ8Q9LvSDu1r5O0HakGfa1Kjq0uToZ2tz8z6ijtmd8/inRhdBWpJmZdSo2t1Limy0cPNqT1pJ+IWKHyoNLjHirpcFKjokVIidC7GxN7jUmOin2RlOC+U9IUZuxcXR74N7BmHvcG4Ng6Asw/pwfqeOxOCqvh2It1gFOpcOdUnvCvOEi7CAtV0oR/UBxN2iV1HGk3YZ2deZcmTfqni4gfSbqOVL/rD/momM1qF+B/I+Lr+eP/lfQxUu2ziyStExH/ri+8ckn6EHA6sFCbIQFUmgyVtCtpPvkkqbHTSPJgUVJ99YmSdo+Ig6uMq/TYelXTCRAbvWdJzUDP7DLuPaR5ZtVKLslQZGwDuvhfdxPYgZsbRcRFkpYhXROfTNrVWoSSY6uak6FdRMSV5F+QiHgM2EDS3MDcrbpx5Xpt9+XM+1DGVmpcDY+3NylJex31X/jOIif0/ikpSD+XIup5RMT1khYHtiYlQBchHfk+GThhZNdNRBxQX5T1G4AajqVyHdDZV+SEn1Snt1uDgBKsCewUEcfVHQipNvR8zTdGxBSlLtXnkY54711xXIPgHaSE6HQRcWFujvVb4ApJa9USWfmOIF2crw7cGBHP1xmMpPWAA0k7qL7XPHfMC4zfBA6QdGNE9LLLatzHNhp1nACx2XI1MC0iJnUaJGkjqk+GllySodjYvPg/WwZybpTzIBtL2obUM6UYJcdWJSdDZ0OkzrKzdJeVNCdpm/H7gGuqjgvKja2wuLYBDoiI3St6vFGr+/+rnZzw7Dghs3JrOEr6Q49DF+5rIDaWip3wk3aTLSf1luduLoRfoaeAe2p67GbXA2uRSszMJCJuz5P+c4ETK45rEDxOi52NEXGnpJVIu/cuB/arOrAB8A5Sje3ajp032Zl0emK3VndGxJOkju6vJyXAq0w4lhzbaFR+AsRmy59ImxC6eYo0H6hMySUZSo4NL/7PjpLnRl0X/iPieEkXAR+uJqTpSo6tCE6Gjr2Sn+BKja3quF5J6hxfulL/v1DKbhwP7O1dBV2VVMNxZdLu1G679WYpHVGRRfJO2q78e5cUPuGfTPcGANHwtq45yfeBL0k6v4Cd+L8iJVJeGxGPNN8ZEQ9KWgU4A1it8ujKNgX4BPDL5jsi4tF8ZP6XpF2QRTRbKMj1pIW8UryHdAy9m1NICb0qlRybjT+7A9/pNigifkch9SWblVySoeTYSlJAE9hi50a99oOIiNuB2/scTvNjFhtbKZwMtWF0CqmL3yAkREs1BzAROJKKV6IHUEk1HG8Abo6ITTsNyjV1m3cWVuGMHsaIlMjwbpZRqGnCv0yX+98EfJ20cv1o/8OZQdJBTTe9G7g5r44/1nRfRMQ3qogrIo4m1TDtNOYpYI0q4hkwPwV26nCx9LSk9Um1L1evPLqybUdqNnVnIY3+5gR6KZ00jTQfqVLJsfkEyDiTS1Y8XnccL0XJJRlqjG3gFv/rfG3w3Mj6xclQGwqS1m748PfAQZIWAi6gRR29AlYKg1Q0e5bSAjYQSq3h+CfSQkA33Xbz9cuuzKiramOojgl/u2Zvkt4CfAPYkvQ38A1Sk70qbdz08YukOVGrJFmQYrSCRcRpwGldxrxAAU0cC3QB8ApSE4rngVnqu0fEhArjuYFU2qPbovW6eWyVSo4Nyj8BYsOn5JIMdcU2MIv/A9gE1qxnTobasDiHWRM8i5EuxpvV/sKTj2oWedzFuiq5huNB9Fa/7Fzq+f37owvK903tFyOSliQ1FtkMuJ+U/D4215SuVEQU/fwqaVlgB1Ji44355nuBi4EjC6rtWLRc0uVNwH8B1+WdIzarSZRVOuCHwDGSbgSOi4hZYpP0OeBLwOcd20xKPwFifSDp48BREbF43bFYT4pc/C+9CaznRjbWnAy1YVH0he+gybVjtiI1ebIGJddwjIjbSB2Du417mrQz2ewlk/Ru4FvARqSaRNsBJ9XdsbpUknYl1SR8EriIGQsYi5J+hhMl7R4RB9cU4kCQ9CXg26RamEFuSCjpdOCSiDisxvCKEhF71x1Do4g4UdL7Sccid5H0a2a8Ji1KWtx5O3B0RJzk2GZS+gkQ64/5SL9/lSm5JEPJsWWlLv6X3ATWcyMbc06G2lCIiCITO5IeBNaMiL9IeoguOzMqPqbWUUT8uO4YBlkdpRgkvQCsWOgEzGZDyRP+nDD4NrA26cjm5sApBTQpmoWkCcCOwArA60k7V/8EHBERD1QYx3rAgaRd3N+LiCea7n8laXftAZJujIhSO1XXKl807Uf6WV4ENP6dTCbtTj6s8sCsZxGxnaTzgK8C2wNz57ueBa4AdouIsxzbLEo/AWKjIGnPHoe+q6+BtFZySYaSYxskRTSB9dzI+kUtTncMPUkLAscAx0TEeW3GrEmqO7VdRDyYbxPwI2CvftVlKzW2UuPqRNIaNF34RsQFFcewF+mY6H2S9qZ7MnSfSgLL8s6a0yLiofx+JxERP6girvGgjhqOkl4EPlBiMjR3gZziGkSjI2kavU343wi8PyIqOyaff9+ClHw6nc7Pb7U9f0j6ICkxMI1UO/FBYALpIuBlwFoRcVlFsUwG7oiIrbqMOwFYLCJWrSKuQSPpTtKR0YMkzQk8DywfEdfkucjPIqLqBnZFk7QiaZfP22mRIIiIFSoPKsv/hwvlDx/OtV+LUHJsNvjy6+hTwDNdhr4cmL/i1/hrGUVJBsc2/TFLnovPFJukZ4GPNs+BJH0EOC8i5p7li/Qnrsl4bmR94GRoC5L2I9XzW65VLaA8RsAU4IKqusyWHFupcbWJ4w2kwtXvI130jlz4TiAVhf5kRNxbcUxzkJKyj5eUDGp8UczvdxJVTiYGnaSNgFM9AUskrTya8RFxSb9iGSQDMOHvVW3PH5L+Qupmv15jTUlJ85PqTS8QEctVFMvjwCbtFhUbxq1Jev54VRVxDRpJzwDrRMSFLZKhqwNnRsR89UZZjvwzOZfUFGgN4LfAvMAHgXuAiyNi6/oitF75BMj4IukO4PcR0bH+bE2v8UcDH4+Ijsfz83z3tIiYo5rIio+t2MX/PG87mbRJCGBrYPuI+EXTuE8Dh0bE6yqKy3Mj6wsfk29tE+CQdkk9SFdt+Yl2J6rtMltqbKXG1coxpMTjhyLi8pEb8+6gn5PqQK1bcUxzAHcC65HqsBShcXJQ5UTB+mqRXBC9q4p3a0+mew2zaHjr16+k2PpwA/ScsSTwqWhqrhMRUyX9L106lI+xOUk7VLuZRnrdsNZuBVahdcfvlem+k3rY7AscTpqbPQ/skRPHiwLnkZ6fKyPpIFKJinvy+51ExZsSio0tcx3Q8eUKUhPObuqoAVtySYaSYwtgubRHqIfB1S7+l9oE1nMj6wtfTLa2KL1NlP9O6khepVJjKzWuVj4KbN2YCAWIiMsk7QYcW3VAETFN0j+BV1T92KMh6eXARGatq/fjiHiuxtCKUXINx+yMHsaINFmrcqfeMl3ufxPwdWBV0i4+S4qd8M9u+ZQa3EhqGtDK64GbKozlBtJFRqskXqN181hr7TDgKEnPAb/Mt02QtA3wNerp8l2yd5Lq+46UtpgPUr31XMJnH6DKZkAbk3Yn3ZPf7ySodoG95Nhs/PkRvS14XgV0PEI81qLgppwlx0bBi/9RbhNYz42sL5wMbe1pYIEexs2fx1ap1NhKjauVBzrE8DTwcIWxNDoQ+JakSyPioZpiaEvSUqRdq28glTt4EFga2ALYQ9LHI8K7bcov2r4rKb6iRENx9kaS3kK6mNwSeCy/f1R1kZWt8An/jsDiwPkdxpxP6g66M/UlDb4M/ETSVNLx6WclzQ18EtiN9BxXlR8Cx0i6ETiu1WkLSZ8DvoQTem1FxHGSXgPsSUrkQVoQ+A+wd0T8rLbgyvQMMEc+wXM/8Fbg0nzfE6TFqCpNJD+vRURpTX4mUm5sI0o9AWKjFBG/B37fw7i7gEobm5ZckqHk2BgHi/9RfRNYz42sL1wztAVJFwK3RsS2XcYdDSwRER+rJrJyYys1rjYxfB7YgVRP7J6G299Eqg93VEQcU0Ncp5Hqc72KlGx8gKaGIxGxSdVxjZB0KSm2dRsnz3nC/Rvg0YgYVd3H8WgAajgWWTO0maQlSZ0hNyPtQD6Y1Gzs2VoDK0zJE35JN5PKpxzdZdy2wE4RsWQ1kc3y+A+RduWPLFBMJS3cQUoSNR+fn9DneH4AbAvcAvyaGUnsRYF1SA1ujo6Ibk3thoqk84EvR8TNDbetR9p9Mz/wCHBFRDxeU4jFyj+7syPiSEk/Jh2L3AF4Dvg+MC0iejmqO1bxlPy8VmxsMFPjuq5Dca13ewlKnlOWHFs7LRb/DyFdkz7V6fPqoHqawHpuZGPOO0NbmwScKunyiGi5yiZpC9JxhI4Jjz4oNbZS42plDWBB4DZJ1zCjgdJy+f3VJK2Wx0a3pNYYWoiZd+wt1HR/3SsXywObNb/wRcRdkvYEvNMmKbaG4yCQ9G7gW8BGwO3AdsBJEfF8rYGVq+TfoUEpnzKJ+p9fp4uI7SSdB3wV2B4Y6db6LKl+3G4RcVZd8RVsNdKCHTC9y/eZwPsi4pq6ghoQhzGjjMbupAvNkdIW95B2SVep5Oe1kmMbUeQJEBs7+fntOfz8NvBaLP7vSvmL/+sAp1JhOS3PjawfnAxtISJOl3Q4cIKkHUhHg+8iXSy9GViTlBg6NCJ6qb837mMrNa42FiKtKt2SP16AtPtnpIZoXbUcLyJt/b+v+Q5Jr6f+bf930v5o9zyk/28ruIZjySS9n1Szbm1SAm1z4JSIGE1HcivLQJRPiYi963rsdiLiTODMfME7sjD2cES8UF9UA2kQEle1azzyGBH3SnovsASpo/xNrgk+cP44SDvibLaV8PxWckmGkmPz4v9s8NzIxpqPyXeQj1ftCKzEzKsPlwGHRcQ5NYVWbGylxjUIOh29yhcmf67zOJOkDUjH5T4TEX9quP0DwE+AXfOLlBVK0irAlIiYWncszRqO9k0GTqfzTr2IiB9UEVfp8s/tE8C1vYyv+EjTwJRPscHXfCwyXyw9DyzvnVOjkxMI90VEL917+/H4L5I63N/ey/iIqKy5U8mxwWAeD7bRK2FnaMklGQqPrXnxf38KWfwfZRPYd7rMhg06J0N7IGku0rFqgH/XNTlspdTYSo2rZPmF+/0RcVWL+zYAjo+I5qPz/Y7pKmaeTCxG+n99kBnlBSYA/wbujIgVqoyvRCXXE5M0qpquEXFJv2Jpln//e+U6Z1nhE/4NSceotulSPuU4YNM6Tw1IWhHYhlRzapYd8FU9t0k6CDgiIu7J73cSEeFO1Vnza2hDMvS9EfGXWoMbIAUlWXpVR5KlV5W/VjkZOhxKWOzJv2u70GNJhojo5dTUmBiA2Ipc/Jc0jd6awL6R9HpbyfOb50bWL06G2lCS9EpgA9pf+H69oji2JBXKBlgF+Aupc2ujeUidB8+PiI2qiGuEpBMZRS29iNiqf9EMhpIvRBomYJ2OVo38f0dEuJRK4Uqe8ANI+j6wE6kpXKfyKbtUGVdTjKuTylZcSKop/VvS8eAPkuolXhwRW1cUyx3AJyLiuvx+JxERi1cR1yDIfwuPAY2Lrwu1uA3ofyOsQVVQkmVV4OpexlfZYKTk2KDsEyA2vgzAfLfk2HpV9WLPtRTYBNZzI+sXX+ja0JH0VtKx/VcA8wEPAa8l/T08CjwOVJIMBf5D2lUJKUH1OKnjbaPnSBfnR1UU03QRMbHqx7S+WqbL/W8i/e6vSvpbqIykBYFjgGMi4rw2Y9YEvgBsFxEPVhlf4YqtDxcRO0uaTCqfsguzlk/ZoIDyKfsCh5O6uD4P7BER10halNREZnKFsUwEbgOICNcUHp196g7AxtTTVScSR6Hk2AJYTuqtnGSVJ0BsbElaBlgSeIA0D6j9mLV1FxFz1B1DB6U2gZ2I50bWB94ZakNH0tnAHMDGwFOknUnXkbrc7w98qtVR9QriOgHYNyK6rXhZwUqu4diOpLeQEkFbknZRHQIcVfFum/2AdYHlos0Lk9LV3RTgAh+BSUre/dCs1PIpkh4HNgT+QNpB+JGIuDTf9z/APhHxjopiKbbMhg0HSXOQLjrXjYi/1RRDsc9rJccGPgEy3kjaGlgrIjZuuv1k4H/IJXBIJ8tWi4jHKoyt2L+FwmMrdvE/bxh6V0Sc3WXcvMCEiPhnRXF5bmR94RdAG0YrAJ8j7UwCeHmkLnQ/k7QQaYfQSlUH5SPm40ovtQ9HJrB1NsVaEvgmsBlwP7ArcGxEPNvxE/tjE+CQdolQSFdtudnOTqTkrQ2QnPx8oO44WngGmCP/ft0PvBW4NN/3BGnHdFVK6A5sQyzvLvPOm8FV7AkQmy1bAH9tvEHS50jzthOAQ0klv35I+n/dvcLYVqV7bcm6lBzbjsDiwPkdxpxP2qCzMxXOdyPiNvIOzC7jngYqSYRmnhtZXzgZasNoHuCJiHhR0iPAGxruuwF4dz1h2TiyKz3WcKyDpHcD3wI2InXE3Q44KSKerzGsRelt4vp3UiMvS0qe8A+K64B3ABeQ6oZ+U9K9pBIl+9J0IWpm/VXyMdKSYwNot5u3xQmQb1BD+SUbtSWBSU23bQ78C/hC3sxxg6Q3k3YSVpkMLbkkQ8mxFbv47x2YNmycDLVh9A9S4gXSsZIvSjoXeIHUTfi+ugKzcaPIGo6S3g98G1iblEDbHDilkDpTTwML9DBu/jzWkpIn/IPiMGbshNsd+DWpViikBkqfrDietfOu7a4i4qR+B2Pjl6R1SRfbE0ivCZOanyPy68blVXdFt7FR2AkQG70FgOnHpCXNDXwA+HlOhI74C6kxYZUmM4qSDFSbd5hMubGVvPhf8g5Mz41szDkZasPoFGBZ4CfAHqSL3ieAF0l/ExPrCsysz64gTfomA6cDryYtBrQaGxHxg8oig2uA9YFu3c43yGMtmUy5E/6BEBHnNrx/r6T3AkuQOsrfFBHPVRzSnj2OC8ATfpstklYHzgKuBC4GVgQuknQYsEunXUtWvkJPgNjo3QW8i/Q3CrAy8DLgoqZxr6D6heKSSzKUHJsX/2eP50Y25nxRZEMnIg5peP9KSUuTOufNC/whIm6oLTiz/hNp8rdql3EBVJkMnQScKunyiPhxqwGStgC2IjU7s6TkCX/xJM0DXA98JSJ+B2kVALilxrBWBa6u8fFtOOxFSo5Nr1eem7UcASwuabOIeKa26Gy2FH4CxEbvNGAPSf8i1dzeH5gKNDe4WQm4tcrASi7JUHJslL/4v0guu9BVxU1gPTeyMedu8jZU8oXv/wHHR8SVdcdj44+kVYApETG17lgGjaTvk45sTgF+R9oREaSjX2sCywOHRsQutQU5IFpM+A8BjoqIp+qMq0SSHgQ+GxGdmhlUFUuxHXBtfJH0GLBRRFzYdPt7gXOAO4B1gbfhY/IDo6Gb/GTSCZBOF3pVnwCxUZL0CtL/4xr5pqeAz0fEKQ1j5iE1vTk2IvauPMgZcTSXZDiYQkoylBSbpA2BU4Ftuiz+HwdsGhG9NGUdq9hGnj+6DiU9f1TyuuC5kfWLk6E2dCQ9CawXEZPrjsXGH0krj2Z8lTUcJS0IHAMcExHntRmzJqkI/3YR8WCrMf0kaT1Sp82VgLnzzc8ClwGHRcQ5Vcc0SEqa8A8KSYcCi0TEZgXE4gm/VSLvNPtCRDTvMEPS4qQSQi8AewMnOxk6GPJzSK8qS2bYSyNpCVJpo5sj4smm++YnNQG8LSIeqyG25pIMB1BISYZSYyt18T8/f+xCj01gI6Lb7tYx4bmR9YuToTZ0JJ0FXBsRe9Udi40/DauqPdVwjIjKypVI2o+002e5dvXglAqITgEuiIjKOli2iGMuYMH84b8jYlpdsQyCUif8g0DSTqTJ//3AuaSjiI1/H5XtnvKE36oi6XxS8mS7NvdPIP09LA28zEkzM2vUoiTD/hRSkqHk2EaUuPhf6hyk1Lhs8DkZakNH0hqkowen0vrCl4jopcuf2SwkvavLkMYajo9ExEL9jyqRdDNwSEQc3WXctsBOEdFT10arzyBM+EvXw04q756ycSc/z+8OvCciHmkzZj7gDGC1iJijyvhs9gzCCRCbfflI/MqkueQ8TXdXWvag5JIMJcfWrKTFfycdbdg4GWpDp8WFb+MfQaU1UGx4lFDDUdIzwOoRcWmXcSsD50dE80TbCjNIE34zM+uvQToBYqMj6UOk1/l2i+iVXr+UXJKh5NhK5mSoDRt3k7dh1K2LttmYaVHDcVfqq+H4NLBAD+Pmz2NtMIj0vNbtuS0AJ0ObdKnz+yLwOPAP1101swGwCekESNuFsYgISUeTahY6GTo4jiA1SloduLHuMjgl7xYvObbCrUo6ZWQ2FJwMtaETERfXHYONfy1qOG5H/TUcrwHWB7oVPN8gj7XCecI/JibT4oRA08dPSzoO+FpEvFBhbGZ9JWlZYAfS0ds35pvvBS4GjoyI62oKzWbPovSWzPg7sFh/Q7Ex9g5gw1L+JksuyVBybIULYLm0ebyHwRU2gTXrBydDzczGUIsajptTTg3HScCpki6PiB+3GiBpC2ArYNNKI7PZ4gn/mFgNOJ5UQ/ps4CFgYdKiwNrAzsBSpPqKU0mLHGYDT9KupDrDTwIXMWOhbFHSQt5ESbtHxME1hWij5xMg49f1wCJ1B9FgR2Bx4PwOY84nPcfsTLW7kHek3NhKNplRNIHFuSQbcK4ZakOnocZeKwE8AVwHHBERZ1QWmI0LpddwlPR90tG4KcDvgLtIMb4ZWBNYHjg0InapMi6bPa4P99JJOh24PiL2bnHf3sB7I2K9/P7EiFis0gDN+iB3Mj4LOAj4XkQ80XT/K0klXr4BrB8R3U4UWAEkXQjcGhHbdhl3NLBERHysmsjspcq7uE8EvlrCKbeSm3KWHFvJSm4Ca9YPToba0JG0I/A1UtLz16RdQBOA9YBXknYIfZj0RL9lRPy0nkhtEA1C0fZ8EbwjsBIwd775WeAy4LCIOKfqmGz2eML/0kmaCnwiIn7f4r7VgTMiYn5JHwV+GxFzz/JFzAaMpMnAHRGxVZdxJwCLRYTrrQ8ASRsCpwLbdDkBchywqRf9B4ekh4BXkLrIP0+6jplJREyoMJ5im3KWHNsgKqEJrFk/eGuzDaM3AJdFxGZNt+8m6RTgNRGxmqSTSKtfToZazwahhmNE/Br4taS5gAXzzf+OiGk1hmWzx/XhXrpHSLV0Z0mG5tsfye+/gtRMyWw8eA/piGg3p5CSazYAIuJ0SYcDJ0jagc4nQJwIHSyT6HzaqGoll2QoObaBUVgTWLMx52SoDaOtgM+0ue8E4GekXXO/ADauKCYbJwaphmNOfj5Q1+PbmPCE/6U7CDhC0mLMOC3QWDP0y3ncqsBVdQRo1gdzAr0sgE0Dil/ksxkiYue883dHYBdmPQGygU+ADIa8i/fSiLijVSmXhnFvBLapLLCk5KacJcdWvEKbwJqNOU9ubBjNBbQ7KroUM/4ungOeqSQiG092pLei7W8hFW03eylGJvzdeMLfRkQcSZrwL0LaeXN6fjuB1Ll3Uh66P2l3hNl4cAOp3nA36+axNkAi4te5Hugrgdfnf6+MiNWcCB0oJwLXStq8y7g3AXv1P5yZTAK2kbRluwENTTmPrCyqpOTYiiXp/ZJ+TZovLkVqAvuOiDjeiVAbj7wz1IbRKcD++Yhw8y6gfUm7QwGWA26qJUIbZJuQaji2PcoUEZGbF+yEO1jaSzMJOFXS5V3qw20FbFppZAMkHxc9Q9IcpNeDhyLixaYxD9cSnFl//BA4RtKNwHGtXrMkfQ74EvD5qoOzseETIOPC7cCJkj5OOlE0S63QOpRckqHk2Ap3BTM3gX018MXUh3MWlTeBNRtrbqBkQ0fSy4GDSZP7xkYYzwLHArtGxHOSPgJMjYirKw/SBpaLtlvVJH2flFifQucJ/y61BWlmxZH0A2Bb4BbS4vA/812LAusAbweOjogv1ROh2XDLTTk/ACxLalrzIPCZiLiiadz7gcvdlHNmJcdWokFoAms2lpwMtaEl6bXAMqSjkf8C/hoRj3T+LLPOJD0KfDYiOtYpkrQ2cHJEvKaayGw884TfzGaHpE8AXyUlXBqfO64ADo+Is2oKzWzojSRDI+LPkt5B6muwDPAd4DsjJxjqTIY2xFpsU86SYzOz+jgZamY2hiRdCNwaEdt2GXc0sESu6WU2JjzhN7PZIWlOYKH84cMR8UKd8ZjZzMnQ/PFcwHdJNeevIO0SvauEZKgNvkFqAms2FpwMtaGQa+b1LCJO6lcsNr5J2hA4FdimSw3H44BNXavIzMzMzJo1J0Mbbl8VOAmYn9Tp+w6cDLWXSNJ+pKZ5y7XrfaBUQHQKcEFEuO+BDTQnQ20otKiBMvKLrxa34cmEvRSu4WhmZiWTdBBwRETck9/vJHzRa1a9dsnQfN+rSb0ONgSuzON8/WKzTdLNpCawR3cZty2wU0QsWU1kZv3hZKgNBUnzNXy4JGnn3vGkTnkPAhOAjYCtgU0iYkrlQdq44hqOZmZWKkl3AJ+IiOvy+51ERCxeRVxmNkOnZGjDmG2AQ4H5nAy1l8JNYG3YOBlqQ0fSZODsiDikxX07A+tHxCqVB2bjkms4mplZaSStAkyJiKl1x2JmrfX6dyppceDD7cozmfXCTWBt2MxRdwBmNVgB+Fub+24A3ldhLDbORcS0iHgg/3Mi1MzMSvAH4J11B2Fm7UXExb0sWETE7U6E2hi4Bli/h3Eb5LFmA83JUBtGdwNbtblvG+CeCmMxMzMzq5q6DzEzsyEyCdhG0pbtBuQmsFsBR1YWlVmfzFV3AGY12B04RdINwNnMqBm6Pqme6KY1xmZmZmZmZmZWmYg4XdLhwAmSdqBzE9gz6ovUbGy4ZqgNJUnLAbuRjsQvAvwLuAo40M2TzMzMbDzLjVn2BW7vZXxEnNTfiMzMrARuAmvDwslQMzMzM7MhkpOhvQp3qTYzGy5uAmvjnZOhNrQkvQZYGvgv4LcR8aikeYDnImI0FwlmZmZmAyMnQ1cFru5lfEQ81d+IzMzMzKrjmqE2dCTNCewPbA/MS6qD8j7gUeBXpAuDvWoL0MzMzKz/nnaS08zMzIaRu8nbMPoe8HlgB2BxZu6oehawXh1BmZmZmZmZmZlZf3lnqA2jLYDdIuKEvEu00W2kBKmZmZmZmZmZmY0zTobaMHo1KenZyssBNwkwMzOzcSsifDrMzMzMhpYnQjaMbgA2aHPfWsA1FcZiZmZmZmZmZmYV8c5QG0bfAX4laV7gNFIDpWUlfRLYFli/zuDMzMzMzMzMzKw/FBF1x2BWGUkvA1Yg1QXdD3hzw933AjtHxKl1xGZmZmZmZmZmZv3lZKgNFUlzAE8Da0fEhZLeDiwEPALcHP6DMDMzMzMzMzMbt3xM3oZKRLwo6RbgdfnjfwD/qDcqMzMzMzMzMzOrghso2TD6FrCnpGXqDsTMzMzMzMzMzKrjY/I2dCRdBSwGvJZUJ/QBUhOl6SJiheojMzMzMzMzMzOzfvIxeRtGN+R/ZmZmZmZmZmY2RLwz1MzMzMzMzMzMzIaCa4aamZmZmZmZmZnZUHAy1MzMzMzMzMzMzIaCk6FmZmZmA0DSnZIi/1unw7gb8piPVBedjRVJE/P/34lj9PVOzF9v4lh8PTMzM7NB52SomZmZ2eDZX5LncX3iBKKZmZnZ+OVJtJmZmdlg+Q+wDPCZugOxvjgDWAr4Zt2BmJmZmY1HToaamZmZDZYj8tt9JL281khszEXE4xFxU0TcX3csZmZmZuORk6FmZmZmg+VXwJ+BtwBf7OUTJC0s6auSfifpDknPSHpc0pWStpc0Z4vPWSwfFb9TyZckXSvpP5IelXSWpKU7POa7JJ0k6W5Jz0p6WNK5ktZqM3760fT8ub+S9JCkqZL+KGnVhrHrSro4fw9PSDpb0tvafN2NJP1I0t8kPZa/91slTZL0X62+Z2DLfNMJDXVaZzk2L2lBSd+R9Ncc51OSrpG0k6SXdfkel5F0mqR/SXpB0o55TNuaoaP5XrqRNKekL0q6PP8cn5P0QI7/+5IWHs3XMzMzMxsUToaamZmZDZ7d8ttvSZq/h/FrAocB7wLuBM4ErgGWBY4EfiVJHT7/ROAQ4EHgN8DjwPrAZZIWbx4saX1gCrB5Hvsr4MYcx7mS9uvwWMuTkr1vBy4EbgY+CJwn6cOSvgycBQg4D3gEWA+4RNKCLb7eL4BNgKeA3wMXAHMDXwKukfT2hrFTgR8Dt+WPL8sfj/y7teF7XAa4HvgW8GpgMnAxsGj+Wf22w87dDwJXAcvlz/sdqfxBN6P5Xro5HvgB6XfgT8AvgeuAVwFfA946iq9lZmZmNjDmqjsAMzMzMxudiLhI0vnAGsDOwD5dPmUK8IGI+FPjjZJeD5wLbEBKsv2ixecuCnwYeFdE3JY/b27gdGBtUm3Lzzd8zUWAn5CSdDtHxCEN932ElEz9tqQ/RsR5LR5v+xafdyDwdeA4YBHgIxFxab5vHuD8HOOXgOZE66eBcyLiPw1fby5gL+DbwOHAWgAR8TAwMe/KfCtwXESc2BygpHlJCdk3ALsDB0fEtHzfa0k/x9XyfXu3+B4/B3wX2DMiXmxxfzs9fy+dSFqUtPv1buB9EfFA0/3LAveNIi4zMzOzgeGdoWZmZmaD6ZtAADt3O9IcEX9vToTm2+8nJRkBPtXhS3xlJBGaP+9ZZiRgP9Y09vPAAsDljQnN/HmTSTtRAXZp81hXNH8ecEB++3Zg0kgiNH/NZ4BD84erNn0eEXFqY/Iw3zYtIvYgJfzWkPTKNrG0M5FUpuDUiNh/JBGav/YjpETj88D2bXbc3gTsNcpE6Fh+LxPy22uaE6H5a14bEQ+OJjYzMzOzQeGdoWZmZmYDKCKukXQqsCnpqPaOncbnHYQfBVYk7a6ch3TUfCR51u6I9TTSMe5mN+W3b2i6fZX89sQ2X+9HpATshyTNGREvNN0/y2NFxKOS/g0s2CaWW9rEAkA+Pv5xYAlgfmZsCJgrv78E8Jc28baydn57Wqs7I+I+SbcA7wTeBvyjachZLb7vnozR93IT8CSwjqTdgZMj4p+zE4+ZmZnZoHEy1MzMzGxwfRvYCPiipEPbJbRyAu1MYKkOX2uBNrff37jzcUREPJE3Pc7ddNcb89s72ny9O4AXScnYBUl1SBvd0+bzpubxre6fmt/O03hjTgAfRTqW3qkmarvvvZ2ROqmndS61CsDCzJoMHXXicSy/l4h4UtLWpMT0d4HvSroXuIJUxuCUvOPWzMzMbNzxMXkzMzOzARURt5LqaM4N7Nth6C9JidCzgQ+RkopzRYSAd+Qx7RJsozrK3fB1YpSf1+vjjSaer5KO7d8P/A/wZmCeiFD+3q/I47pmNJvMmd/+hpkbLLX69+8Wn//0KB8Pxvh7iYhf5q8xkZQUnUoqlXACcNNou9ObmZmZDQrvDDUzMzMbbPsCWwCflXRw852SlgSWIe3A3LDF8ewlxjiee0gJ1sVJ3eCbLUZakH+G1Am+nzbOb7eNiHNa3D+73/vdpO/xBxHxm9n8GqM15t9LRDzGjKQtkt4KHEuqvXogqWGTmZmZ2bjinaFmZmZmAyw3QTqcNK/7Xoshr81v72tTp/IzYxzSxfntFm3u3yq//WOr4/djbOR7v7v5Dkmrk46wt/Jcfttu48Bv89uN29zfD7P7vfQsN8n6bv7w3S/165mZmZmVyMlQMzMzs8F3IGmX5XqkLueNbiEdLV9a0sqNd0jaCthsjGM5ltSc50OSvtL0eCsDX84ffn+MH7eVkSZP20maPu/NOyB/2OHz7s1v29VYPYaUlNxS0j6SXtE8QNLS+ec7Vmb3e5mFpPdI2lTSvC3uXi+/dUMlMzMzG5ecDDUzMzMbcBHxOHBA/vAVTfc9RGq8MxdwkaQ/SPqZpL+SakUewBiKiH8BmwPPAodLuj4/3mTgImA+4DsR0aor/FjbH3ge2Bb4u6RTJJ0P3EhKZl7e5vPOIiWQd5R0nqTjJR0naSWAiJgKrAPcBewJ3C3pIkk/zz/fO4C/5set+3tpZVHgFOBhSZfm/59fSrqNVJv0yfx9mZmZmY07ToaamZmZjQ//R/tO7F8FvgBcB6wArAU8kN8eM9aBRMRZwPLAT0nNmj5Fqlt6PrBOROwx1o/ZJo4rSN/vb4BXARsAbyIdBV+TlFxs9XnXApsCVwErAVsD2wBvbxjzV+C/gd1Ju2+XAzbMY/4F7Ef6mdf6vbRxJfBN4JL8NT4BrAb8h7Rjd5mIuHqsYjczMzMriSJmt9GnmZmZmZmZmZmZ2eDwzlAzMzMzMzMzMzMbCk6GmpmZmZmZmZmZ2VBwMtTMzMzMzMzMzMyGgpOhZmZmZmZmZmZmNhScDDUzMzMzMzMzM7Oh4GSomZmZmZmZmZmZDQUnQ83MzMzMzMzMzGwoOBlqZmZmZmZmZmZmQ8HJUDMzMzMzMzMzMxsK/w+lP/svVWvgCwAAAABJRU5ErkJggg==\n",
"text/plain": [
"<Figure size 1656x504 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"##plot\n",
"plt.figure(figsize=(23, 7))\n",
"dendrogram(\n",
" linkage(X, method=\"weighted\", optimal_ordering=True),\n",
" labels=material_label,\n",
" above_threshold_color=\"gray\",\n",
")\n",
"set_link_color_palette([\"green\", \"blue\", \"red\"])\n",
"plt.xlabel(\"Nanomaterials\", fontsize=22)\n",
"plt.ylabel(\"Linkage Distance\", fontsize=22)\n",
"plt.xticks(fontsize=15)\n",
"plt.yticks(fontsize=15)\n",
"plt.xticks(rotation=90)\n",
"plt.savefig(\"cluster-surfaces.pdf\", format=\"pdf\", dpi=1000, bbox_inches=\"tight\")"
]
},
{
"cell_type": "code",
"execution_count": 16,
"id": "a91555e2",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 1656x504 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"##plot\n",
"plt.figure(figsize=(23, 7))\n",
"dendrogram(\n",
" linkage(X_new, method=\"weighted\", optimal_ordering=True),\n",
" labels=material_label,\n",
" above_threshold_color=\"gray\",\n",
")\n",
"set_link_color_palette([\"green\", \"blue\", \"red\"])\n",
"plt.xlabel(\"Nanomaterials\", fontsize=22)\n",
"plt.ylabel(\"Linkage Distance\", fontsize=22)\n",
"plt.xticks(fontsize=15)\n",
"plt.yticks(fontsize=15)\n",
"plt.xticks(rotation=90)\n",
"plt.savefig(\n",
" \"cluster-surfaces-prediction.pdf\", format=\"pdf\", dpi=1000, bbox_inches=\"tight\"\n",
")"
]
},
{
"cell_type": "code",
"execution_count": null,
"id": "5a066c83",
"metadata": {},
"outputs": [],
"source": []
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 3 (ipykernel)",
"language": "python",
"name": "python3"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.8.17"
}
},
"nbformat": 4,
"nbformat_minor": 5
}