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{
"cells": [
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [],
"source": [
"import numpy as np\n",
"import pandas as pd\n",
"import matplotlib.pyplot as plt\n",
"from sklearn.cluster import KMeans\n",
"\n",
"from sklearn.metrics import silhouette_score\n",
"from sklearn.metrics import davies_bouldin_score\n",
"from sklearn.metrics import calinski_harabasz_score\n",
"\n",
"from sklearn.decomposition import PCA\n",
"from sklearn.manifold import TSNE"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Read Dataset"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"<div>\n",
"<style scoped>\n",
" .dataframe tbody tr th:only-of-type {\n",
" vertical-align: middle;\n",
" }\n",
"\n",
" .dataframe tbody tr th {\n",
" vertical-align: top;\n",
" }\n",
"\n",
" .dataframe thead th {\n",
" text-align: right;\n",
" }\n",
"</style>\n",
"<table border=\"1\" class=\"dataframe\">\n",
" <thead>\n",
" <tr style=\"text-align: right;\">\n",
" <th></th>\n",
" <th>Gender</th>\n",
" <th>Age</th>\n",
" <th>Income</th>\n",
" <th>Score</th>\n",
" </tr>\n",
" </thead>\n",
" <tbody>\n",
" <tr>\n",
" <th>0</th>\n",
" <td>Male</td>\n",
" <td>19</td>\n",
" <td>15</td>\n",
" <td>39</td>\n",
" </tr>\n",
" <tr>\n",
" <th>1</th>\n",
" <td>Male</td>\n",
" <td>21</td>\n",
" <td>15</td>\n",
" <td>81</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2</th>\n",
" <td>Female</td>\n",
" <td>20</td>\n",
" <td>16</td>\n",
" <td>6</td>\n",
" </tr>\n",
" <tr>\n",
" <th>3</th>\n",
" <td>Female</td>\n",
" <td>23</td>\n",
" <td>16</td>\n",
" <td>77</td>\n",
" </tr>\n",
" <tr>\n",
" <th>4</th>\n",
" <td>Female</td>\n",
" <td>31</td>\n",
" <td>17</td>\n",
" <td>40</td>\n",
" </tr>\n",
" </tbody>\n",
"</table>\n",
"</div>"
],
"text/plain": [
" Gender Age Income Score\n",
"0 Male 19 15 39\n",
"1 Male 21 15 81\n",
"2 Female 20 16 6\n",
"3 Female 23 16 77\n",
"4 Female 31 17 40"
]
},
"execution_count": 2,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"df = pd.read_csv('customers_dataset.csv')\n",
"df.head()"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"<div>\n",
"<style scoped>\n",
" .dataframe tbody tr th:only-of-type {\n",
" vertical-align: middle;\n",
" }\n",
"\n",
" .dataframe tbody tr th {\n",
" vertical-align: top;\n",
" }\n",
"\n",
" .dataframe thead th {\n",
" text-align: right;\n",
" }\n",
"</style>\n",
"<table border=\"1\" class=\"dataframe\">\n",
" <thead>\n",
" <tr style=\"text-align: right;\">\n",
" <th></th>\n",
" <th>Age</th>\n",
" <th>Income</th>\n",
" <th>Score</th>\n",
" <th>Female</th>\n",
" <th>Male</th>\n",
" </tr>\n",
" </thead>\n",
" <tbody>\n",
" <tr>\n",
" <th>0</th>\n",
" <td>19</td>\n",
" <td>15</td>\n",
" <td>39</td>\n",
" <td>False</td>\n",
" <td>True</td>\n",
" </tr>\n",
" <tr>\n",
" <th>1</th>\n",
" <td>21</td>\n",
" <td>15</td>\n",
" <td>81</td>\n",
" <td>False</td>\n",
" <td>True</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2</th>\n",
" <td>20</td>\n",
" <td>16</td>\n",
" <td>6</td>\n",
" <td>True</td>\n",
" <td>False</td>\n",
" </tr>\n",
" <tr>\n",
" <th>3</th>\n",
" <td>23</td>\n",
" <td>16</td>\n",
" <td>77</td>\n",
" <td>True</td>\n",
" <td>False</td>\n",
" </tr>\n",
" <tr>\n",
" <th>4</th>\n",
" <td>31</td>\n",
" <td>17</td>\n",
" <td>40</td>\n",
" <td>True</td>\n",
" <td>False</td>\n",
" </tr>\n",
" </tbody>\n",
"</table>\n",
"</div>"
],
"text/plain": [
" Age Income Score Female Male\n",
"0 19 15 39 False True\n",
"1 21 15 81 False True\n",
"2 20 16 6 True False\n",
"3 23 16 77 True False\n",
"4 31 17 40 True False"
]
},
"execution_count": 3,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"encoded_df = pd.get_dummies(df['Gender'])\n",
"\n",
"df = pd.concat([df, encoded_df], axis=1).drop('Gender', axis=1)\n",
"\n",
"df.head()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Find Optimal Number of Clusters"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### K-means Distortion and Elbow Method"
]
},
{
"cell_type": "code",
"execution_count": 38,
"metadata": {},
"outputs": [
{
"data": {
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Rbn9VIKAsXbpUN7aiqwJXrVqlTJkyRWnYsKGiVquVBx98UNm/f3+Z99q4caPSrVs3xdraWrGzs1P69Omj/Pbbb2XGZWZmKmZmZoqdnZ1SUFCgW146ZcOIESMq1dutVwXeTnlX9t24cUP517/+pfj6+ipWVlaKRqNR/P39lZdffllJT0/XjUtMTFR69uyp2Nra6l2d98/L6UuVd9VYUVGRMn/+fKVly5aKpaWl4uzsrIwZM0Y3fUCp4uJiZe7cuYqnp6diZWWltGvXTvnxxx+VoKCgKl8VqCiKcuXKFeX5559X3N3dFQsLC8Xb21uZMWOGkpeXpzcOUCZPnnzH97lVQUGB8sknnyjdunVT6tWrp6jVasXX11d59dVXlcuXL5cZ7+3trQwePFj53//+p7Rt21axsrJSfHx8lEWLFpUZ+8033yitWrVSLC0tFUB5++23FUWp+KrAwYMHl9lGeT2dOXNGb3oHRVGU1NRU5bHHHlMcHR0Ve3t7ZcCAAUpSUlKFPxN3O92CoihKfn6+8thjjynW1tbKli1bbvt6IcqjUpRbjgkIIYSo83x8fPDz89NN3CmEqDw5x0oIIYQQwkAkWAkhhBBCGIgcChRCCCGEMBDZYyWEEEIIYSASrIQQQgghDESClRBCCCGEgcgEofdZcXExFy5cwN7eXu5JJYQQQtQSiqJw/fp1PDw89G5k/08SrO6zCxculLnZqRBCCCFqh5SUlDL3FL2VBKv7zN7eHij5xjg4OBhsu1qtlqioKIKDg7G0tDTYdmsKU+8PTL9HU+8PTL9H6a/2M/Ueq7O/7OxsPD09db/HKyLB6j4rPfzn4OBg8GBla2uLg4ODyf6wmHJ/YPo9mnp/YPo9Sn+1n6n3eD/6u9NpPHLyuhBCCCGEgUiwEkIIIYQwEAlWQgghhBAGIsFKCCGEEMJAJFgJIYQQQhiIBCshhBBCCAORYCWEEEIIYSASrIQQQgghDESClRBCCCGEgUiwEkIIIYQwEAlWQgghhBAGIsFKCCGEEMJAJFiZiJsFRZzKNnYVQgghRN1mYewCxL1Lzcxl8H9+JTffnLE3tTib4B3LhRBCiNpA9liZgEb1bXB3sEZbrOJ/B84buxwhhBCizpJgZQJUKhVjunsBsDouhaJixcgVCSGEEHWTBCsTMaydO7bmCqmZN9l5PMPY5QghhBB1kgQrE2FjZU53l5I9VSv2njVuMUIIIUQdJcHKhPR0K0algl9PXubUpRvGLkcIIYSocyRYmRBna+jdsiEAq2LOGbkaIYQQou6RYGVixnT3BOB/CancyC80cjVCCCFE3SLBysT0bNqApg3tuJFfyPcHUo1djhBCCFGnSLAyMWZmKsZ29wZg5d6zKIpMvSCEEELcLxKsTNBjnRpjZ2XOqUs5/PbnFWOXI4QQQtQZEqxMkL21JY93agzI1AtCCCHE/STBykSFBvoAsP2Pi6RczTVuMUIIIUQdIcHKRDV3qceDLZxRFFgdK1MvCCGEEPeDBCsTNvavvVYR8SncLCgybjFCCCFEHSDByoQ93MqFxo42ZN3UsunQeWOXI4QQQpg8CVYmzNxMRehfUy+s2HtOpl4QQgghqpkEKxM3qosn1pZmHEvLZv+5TGOXI4QQQpg0CVYmrr6tFcM7NAJk6gUhhBCiukmwqgNKT2L/OSmd9Kw84xYjhBBCmDAJVnVAGw8Huvo4UVissDZOpl4QQgghqotRg9XcuXPp0qUL9vb2uLi4MHz4cI4fP643RlEUZs2ahYeHBzY2NvTq1YsjR47ojcnPz+fFF1/E2dkZOzs7hg0bRmqq/g2IMzMzCQ0NRaPRoNFoCA0N5dq1a3pjkpOTGTp0KHZ2djg7OzNlyhQKCgr0xhw+fJigoCBsbGxo1KgR7777bq04KXxsj5KT2NfuSya/UKZeEEIIIaqDUYPVrl27mDx5MrGxsURHR1NYWEhwcDA5OTm6MQsWLGDRokUsWbKE+Ph43Nzc6NevH9evX9eNmTp1Khs2bCAiIoI9e/Zw48YNhgwZQlHR3wEiJCSExMREIiMjiYyMJDExkdDQUN36oqIiBg8eTE5ODnv27CEiIoL169czbdo03Zjs7Gz69euHh4cH8fHxLF68mIULF7Jo0aJq/qTuXf+2brg6qLl8o4CfDqcbuxwhhBDCNCk1SEZGhgIou3btUhRFUYqLixU3Nzdl3rx5ujF5eXmKRqNRPvvsM0VRFOXatWuKpaWlEhERoRtz/vx5xczMTImMjFQURVGOHj2qAEpsbKxuTExMjAIof/zxh6IoirJ161bFzMxMOX/+vG7MN998o6jVaiUrK0tRFEX573//q2g0GiUvL083Zu7cuYqHh4dSXFxcqR6zsrIUQLdNQykoKFA2btyoFBQUVDjm420nFO/XNiuPLNlj0Pe+HyrTX21n6j2aen+KYvo9Sn+1n6n3WJ39Vfb3d406xyorKwsAJycnAM6cOUN6ejrBwcG6MWq1mqCgIPbu3QtAQkICWq1Wb4yHhwd+fn66MTExMWg0Grp166Yb0717dzQajd4YPz8/PDw8dGP69+9Pfn4+CQkJujFBQUGo1Wq9MRcuXODs2bOG/CiqxVNdvbAyNyMx5RqHUq4ZuxwhhBDC5FgYu4BSiqIQHh7OAw88gJ+fHwDp6SWHrFxdXfXGurq6cu7cOd0YKysrHB0dy4wpfX16ejouLi5l3tPFxUVvzD/fx9HRESsrK70xPj4+Zd6ndF2TJk3KvEd+fj75+fm659nZ2QBotVq0Wm1FH8ddK93W7bZZ39qMgX6u/HAojRW/nWbBY/4Ge//qVpn+ajtT79HU+wPT71H6q/1Mvcfq7K+y26wxweqFF17g999/Z8+ePWXWqVQqveeKopRZ9k//HFPeeEOMUf46cb2ieubOncs777xTZnlUVBS2tra37aEqoqOjb7u+aRGABZsOXaCzRQr1LA1eQrW6U3+mwNR7NPX+wPR7lP5qP1PvsTr6y83NrdS4GhGsXnzxRTZt2sTu3btp3LixbrmbmxtQsjfI3d1dtzwjI0O3p8jNzY2CggIyMzP19lplZGTQo0cP3ZiLFy+Wed9Lly7pbScuLk5vfWZmJlqtVm9M6d6rW98Hyu5VKzVjxgzCw8N1z7Ozs/H09CQ4OBgHB4fbfSx3RavVEh0dTb9+/bC0vH1a2p4Zy+/ns7lSvxUjg5oarIbqdDf91Vam3qOp9wem36P0V/uZeo/V2V/pEac7MWqwUhSFF198kQ0bNrBz584yh9KaNGmCm5sb0dHRBAQEAFBQUMCuXbuYP38+AJ06dcLS0pLo6GhGjhwJQFpaGklJSSxYsACAwMBAsrKy2LdvH127dgUgLi6OrKwsXfgKDAxk9uzZpKWl6UJcVFQUarWaTp066ca88cYbFBQUYGVlpRvj4eFR5hBhKbVarXdOVilLS8tq+Utdme2O69GEad8d4pv4VCb1boGFeY061e62qutzq0lMvUdT7w9Mv0fpr/Yz9R6ro7/Kbs+ov1EnT57M6tWrWbt2Lfb29qSnp5Oens7NmzeBksNrU6dOZc6cOWzYsIGkpCTGjx+Pra0tISEhAGg0Gp555hmmTZvG9u3bOXjwIGPGjMHf35++ffsC0Lp1awYMGEBYWBixsbHExsYSFhbGkCFD8PX1BSA4OJg2bdoQGhrKwYMH2b59O9OnTycsLEy3ZykkJAS1Ws348eNJSkpiw4YNzJkzh/Dw8DsemqxJBrdzp4GdFWlZeUQfLbsnTwghhBBVY9Rg9emnn5KVlUWvXr1wd3fXPdatW6cb8+qrrzJ16lQmTZpE586dOX/+PFFRUdjb2+vGfPjhhwwfPpyRI0fSs2dPbG1t+fHHHzE3N9eNWbNmDf7+/gQHBxMcHEy7du1YtWqVbr25uTlbtmzB2tqanj17MnLkSIYPH87ChQt1YzQaDdHR0aSmptK5c2cmTZpEeHi43qG+2sDa0pwnu3oCcv9AIYQQwpCMfijwTlQqFbNmzWLWrFkVjrG2tmbx4sUsXry4wjFOTk6sXr36tu/l5eXF5s2bbzvG39+f3bt333ZMbTCmuzef7TpN3Jmr/JGeTSs3w53vJYQQQtRVtefkGmFQ7hob+rctOeF+5V65f6AQQghhCBKs6rCxgT4AbDx4nqxc05zTRAghhLifJFjVYd2aONHKzZ6b2iK+S0gxdjlCCCFErSfBqg5TqVS6vVZfx5yjuPjO57wJIYQQomISrOq44QEeOFhbkHw1l50nMoxdjhBCCFGrSbCq42ytLBjVpXTqBTmJXQghhLgXEqwEod19UKlg94lLnL50w9jlCCGEELWWBCuBVwNbHvZ1AUrOtRJCCCFE1UiwEgCM7eEDwPqEVG7kFxq3GCGEEKKWkmAlAHiwuTNNne24nl/IhgOpxi5HCCGEqJUkWAkAzMxUhAZ6A7Ay5lylbjckhBBCCH0SrITO450aY2dlzp8ZN9h76oqxyxFCCCFqHQlWQsfe2pLHOjUGYMXes8YtRgghhKiFJFgJPWP/Ohy4/dhFUq7mGrkaIYQQonaRYCX0NHex54HmzhQrsDpOpl4QQggh7oYEK1FG6V6rdfEp5GmLjFyNEEIIUXtIsBJl9GntSqP6NlzL1bIp8YKxyxFCCCFqDQlWogzzW6ZeWLH3rEy9IIQQQlSSBCtRrlGdPVFbmHE0LZuEc5nGLkcIIYSoFSRYiXI52lkxvEMjQKZeEEIIISpLgpWo0NgeJYcDI5PSuZidZ+RqhBBCiJpPgpWoUFsPDV18HCksVlgTl2zscoQQQogaT4KVuK2xgT4ArI1LpqCw2LjFCCGEEDWcBCtxWwP83HCxV3P5Rj4/JaUZuxwhhBCiRpNgJW7L0tyM0d3+nnpBCCGEEBWTYCXu6KlunliaqziYfI3fU68ZuxwhhBCixpJgJe7Ixd6awf7uAKzcK/cPFEIIISoiwUpUytgePgD8+PsFrtzIN24xQgghRA0lwUpUSoBnfdo11lBQWExEfIqxyxFCCCFqJAlWolJUKpVu6oU1secoLJKpF4QQQoh/kmAlKm1IO3ec7Ky4kJXHtmMXjV2OEEIIUeNIsBKVZm1pzpNdPAGZekEIIYQojwQrcVfGdPfG3ExF7OmrHE+/buxyhBBCiBpFgpW4Kx71bQhu4wrAypizxi1GCCGEqGEkWIm7VnoS+4YD58m6qTVuMUIIIUQNIsFK3LXuTZ3wdbXnpraI7/bL1AtCCCFEKQlW4q6pVCrG9ii5f+Cq2HMUFytGrkgIIYSoGYwarHbv3s3QoUPx8PBApVKxceNGvfUqlarcx/vvv68b06tXrzLrn3zySb3tZGZmEhoaikajQaPREBoayrVr1/TGJCcnM3ToUOzs7HB2dmbKlCkUFBTojTl8+DBBQUHY2NjQqFEj3n33XRSlboaKRwMaYW9twbkruew6ccnY5QghhBA1glGDVU5ODu3bt2fJkiXlrk9LS9N7LFu2DJVKxWOPPaY3LiwsTG/c559/rrc+JCSExMREIiMjiYyMJDExkdDQUN36oqIiBg8eTE5ODnv27CEiIoL169czbdo03Zjs7Gz69euHh4cH8fHxLF68mIULF7Jo0SIDfiK1h62VBSM7y9QLQgghxK0sjPnmAwcOZODAgRWud3Nz03v+ww8/0Lt3b5o2baq33NbWtszYUseOHSMyMpLY2Fi6desGwNKlSwkMDOT48eP4+voSFRXF0aNHSUlJwcPDA4APPviA8ePHM3v2bBwcHFizZg15eXmsWLECtVqNn58fJ06cYNGiRYSHh6NSqe7lo6iVxgZ6s+y3M+w6cYkzl3No4mxn7JKEEEIIozJqsLobFy9eZMuWLaxcubLMujVr1rB69WpcXV0ZOHAgb7/9Nvb29gDExMSg0Wh0oQqge/fuaDQa9u7di6+vLzExMfj5+elCFUD//v3Jz88nISGB3r17ExMTQ1BQEGq1Wm/MjBkzOHv2LE2aNCm37vz8fPLz/75pcXZ2NgBarRat1nBX1JVuy5DbvBMPByuCWjiz88RlVvx2mn8NalVt72WM/u43U+/R1PsD0+9R+qv9TL3H6uyvstusNcFq5cqV2NvbM2LECL3lo0ePpkmTJri5uZGUlMSMGTM4dOgQ0dHRAKSnp+Pi4lJmey4uLqSnp+vGuLq66q13dHTEyspKb4yPj4/emNLXpKenVxis5s6dyzvvvFNmeVRUFLa2tpXo/O6U9n2/tDJTsRNz1u07R9ui06jNq/f97nd/xmDqPZp6f2D6PUp/tZ+p91gd/eXm5lZqXK0JVsuWLWP06NFYW1vrLQ8LC9N97efnR4sWLejcuTMHDhygY8eOAOUeplMURW95VcaUnrh+u8OAM2bMIDw8XPc8OzsbT09PgoODcXBwqPB1d0ur1RIdHU2/fv2wtLQ02HbvZECxQuR/fuPslVxyXf15tKtntbyPsfq7n0y9R1PvD0y/R+mv9jP1Hquzv9IjTndSK4LVr7/+yvHjx1m3bt0dx3bs2BFLS0tOnjxJx44dcXNz4+LFsjcMvnTpkm6Pk5ubG3FxcXrrMzMz0Wq1emNK916VysjIACizt+tWarVa7/BhKUtLy2r5S11d272dsYE+vLv5KGviUhjXo0m1nm9mjP7uN1Pv0dT7A9PvUfqr/Uy9x+ror7LbqxXzWH311Vd06tSJ9u3b33HskSNH0Gq1uLu7AxAYGEhWVhb79u3TjYmLiyMrK4sePXroxiQlJZGWlqYbExUVhVqtplOnTroxu3fv1puCISoqCg8PjzKHCOuaxzs3xtbKnJMZN4g5dcXY5QghhBBGY9RgdePGDRITE0lMTATgzJkzJCYmkpycrBuTnZ3Nd999x7PPPlvm9adOneLdd99l//79nD17lq1bt/LEE08QEBBAz549AWjdujUDBgwgLCyM2NhYYmNjCQsLY8iQIfj6+gIQHBxMmzZtCA0N5eDBg2zfvp3p06cTFhamO1wXEhKCWq1m/PjxJCUlsWHDBubMmVNnrwi8lYO1JY91bAzI1AtCCCHqNqMGq/379xMQEEBAQAAA4eHhBAQE8NZbb+nGREREoCgKTz31VJnXW1lZsX37dvr374+vry9TpkwhODiYbdu2YW7+91nUa9aswd/fn+DgYIKDg2nXrh2rVq3SrTc3N2fLli1YW1vTs2dPRo4cyfDhw1m4cKFujEajITo6mtTUVDp37sykSZMIDw/XO3+qLhsbWDIT+7ZjF0nNrNwJfkIIIYSpMeo5Vr169brjzOUTJ05k4sSJ5a7z9PRk165dd3wfJycnVq9efdsxXl5ebN68+bZj/P392b179x3fry5q4WpPz+YN+O3PK6yOTeb1gdU39YIQQghRU9WKc6xE7TA20AeAdfHJ5GmLjFuMEEIIYQQSrITB9G3tSqP6NmTmatl06IKxyxFCCCHuOwlWwmDMzVSM6V5yrtXKvWfr7A2qhRBC1F0SrIRBPdnFE7WFGUcuZHMgOdPY5QghhBD3lQQrYVCOdlY80qHknosr9p4zcjVCCCHE/SXBShhc6UnsPx1OIyM7z7jFCCGEEPeRBCthcH6NNHT2dqSwWGFNXPKdXyCEEEKYCAlWolqM7eEDwNp9yRQUFhu3GCGEEOI+kWAlqsWAtm642Ku5dD2fn5LS7vwCIYQQwgRIsBLVwsrCjJBuXgB8HSMnsQshhKgbJFiJahPSzQtLcxUJ5zJJOp9l7HKEEEKIaifBSlQbF3trBvm7A7Bi71njFiOEEELcBxKsRLUqnXph06ELXM0pMG4xQgghRDWTYCWqVUev+vg30lBQWExEvEy9IIQQwrRJsBLVSqVSMTaw5P6Ba2KTKSySqReEEEKYLglWotoNbe+Bo60l56/dZNuxDGOXI4QQQlQbCVai2llbmvNk19KpF84atxghhBCiGkmwEvfFmO7emKlg76krnLh43djlCCGEENVCgpW4LxrVtyG4jRsAK2XqBSGEECZKgpW4b8b2KDmJ/fsD58m6qTVyNUIIIYThSbAS901g0wa0dK3HTW0R/0tINXY5QgghhMFJsBL3TcnUCz4ArIo5S3GxYtyChBBCCAOTYCXuq0cDGmFvbcHZK7nsOnnJ2OUIIYQQBiXBStxXdmoLnujkCcDXchK7EEIIEyPBStx3YwO9Ualg54lLnL2cY+xyhBBCCIORYCXuOx9nO3q1bIiiwNcx54xdjhBCCGEwEqyEUYzt4QPAdwkp5OQXGrcYIYQQwkAkWAmjCGrREJ8GtlzPK2TDwfPGLkcIIYQwCAlWwijMzFSE/jX1wtcxZ1EUmXpBCCFE7SfBShjNE50bY2tlzomLN4g5fcXY5QghhBD3TIKVMBoHa0tGdGwEyP0DhRBCmAYJVsKoSmdijz56kfPXbhq3GCGEEOIeSbASRtXS1Z4ezRpQrMDqWJl6QQghRO0mwUoYXeleq4h9yeRpi4xbjBBCCHEPJFgJo+vb2oVG9W3IzNXy46ELxi5HCCGEqDIJVsLoLMzNGN3dC4CVMvWCEEKIWkyClagRnuzihZWFGUnnszmQfM3Y5QghhBBVYtRgtXv3boYOHYqHhwcqlYqNGzfqrR8/fjwqlUrv0b17d70x+fn5vPjiizg7O2NnZ8ewYcNITU3VG5OZmUloaCgajQaNRkNoaCjXrl3TG5OcnMzQoUOxs7PD2dmZKVOmUFBQoDfm8OHDBAUFYWNjQ6NGjXj33Xdl74qBONlZ8Uh7D0CmXhBCCFF7GTVY5eTk0L59e5YsWVLhmAEDBpCWlqZ7bN26VW/91KlT2bBhAxEREezZs4cbN24wZMgQior+Pgk6JCSExMREIiMjiYyMJDExkdDQUN36oqIiBg8eTE5ODnv27CEiIoL169czbdo03Zjs7Gz69euHh4cH8fHxLF68mIULF7Jo0SIDfiJ127i/7h+49XAaGdl5xi1GCCGEqAILY775wIEDGThw4G3HqNVq3Nzcyl2XlZXFV199xapVq+jbty8Aq1evxtPTk23bttG/f3+OHTtGZGQksbGxdOvWDYClS5cSGBjI8ePH8fX1JSoqiqNHj5KSkoKHR8lekw8++IDx48cze/ZsHBwcWLNmDXl5eaxYsQK1Wo2fnx8nTpxg0aJFhIeHo1KpDPjJ1E1+jTR08nYk4Vwma/clM7VvS2OXJIQQQtwVowaryti5cycuLi7Ur1+foKAgZs+ejYuLCwAJCQlotVqCg4N14z08PPDz82Pv3r3079+fmJgYNBqNLlQBdO/eHY1Gw969e/H19SUmJgY/Pz9dqALo378/+fn5JCQk0Lt3b2JiYggKCkKtVuuNmTFjBmfPnqVJkybl1p+fn09+fr7ueXZ2NgBarRatVmuYD+mv7d36Z201umtjEs5lsib2HGE9vbGyKNmpair93Y6p92jq/YHp9yj91X6m3mN19lfZbdboYDVw4ECeeOIJvL29OXPmDDNnzuThhx8mISEBtVpNeno6VlZWODo66r3O1dWV9PR0ANLT03VB7FYuLi56Y1xdXfXWOzo6YmVlpTfGx8enzPuUrqsoWM2dO5d33nmnzPKoqChsbW0r8SncnejoaINv835SisHB0pxLNwpYsPZnOjrrn8NW2/urDFPv0dT7A9PvUfqr/Uy9x+roLzc3t1LjanSwGjVqlO5rPz8/OnfujLe3N1u2bGHEiBEVvk5RFL1Dc+UdpjPEmNIT1293GHDGjBmEh4frnmdnZ+Pp6UlwcDAODg4Vvu5uabVaoqOj6devH5aWlgbbrjGctf2Txb+cJim/Af8a1BUwrf4qYuo9mnp/YPo9Sn+1n6n3WJ39lR5xupMaHaz+yd3dHW9vb06ePAmAm5sbBQUFZGZm6u21ysjIoEePHroxFy9eLLOtS5cu6fY4ubm5ERcXp7c+MzMTrVarN6Z079Wt7wOU2dt1K7VarXf4sJSlpWW1/KWuru3eT6GBTfh01xkSkq9xPCMXv0Ya3TpT6O9OTL1HU+8PTL9H6a/2M/Ueq6O/ym6vVs1jdeXKFVJSUnB3dwegU6dOWFpa6u3yS0tLIykpSResAgMDycrKYt++fboxcXFxZGVl6Y1JSkoiLS1NNyYqKgq1Wk2nTp10Y3bv3q03BUNUVBQeHh5lDhGKe+PiYM0g/5LvsUy9IIQQojYxarC6ceMGiYmJJCYmAnDmzBkSExNJTk7mxo0bTJ8+nZiYGM6ePcvOnTsZOnQozs7OPProowBoNBqeeeYZpk2bxvbt2zl48CBjxozB399fd5Vg69atGTBgAGFhYcTGxhIbG0tYWBhDhgzB19cXgODgYNq0aUNoaCgHDx5k+/btTJ8+nbCwMN3hupCQENRqNePHjycpKYkNGzYwZ84cuSKwmozr4Q3AD4cukJlTcIfRQgghRM1g1GC1f/9+AgICCAgIACA8PJyAgADeeustzM3NOXz4MI888ggtW7Zk3LhxtGzZkpiYGOzt7XXb+PDDDxk+fDgjR46kZ8+e2Nra8uOPP2Jubq4bs2bNGvz9/QkODiY4OJh27dqxatUq3Xpzc3O2bNmCtbU1PXv2ZOTIkQwfPpyFCxfqxmg0GqKjo0lNTaVz585MmjSJ8PBwvfOnhOF09HLEr5EDBYXFRMSnGLscIYQQolKMeo5Vr169bjtz+c8//3zHbVhbW7N48WIWL15c4RgnJydWr1592+14eXmxefPm247x9/dn9+7dd6xJ3DuVSsXYQB9e/d/vrI49x9OBnsYuSQghhLijWnWOlahbhrX3wNHWkvPXbrLjj0vGLkcIIYS4IwlWosaytjRnVBcvAFbHJRu5GiGEEOLOJFiJGm1Mdy/MVLD39FXSKzc3mxBCCGE0EqxEjdbY0ZZ+bUrmCdudLn9dhRBC1Gzym0rUeOMCfQCIv6Tiep5p3t9KCCGEaZBgJWq8wGYNaN7QjoJiFUt/PWvscoQQQogKSbASNZ5KpeLF3s0A+OzXM/x6Uq4QFEIIUTNJsBK1wiB/NwJdilEUmBqRyMXsPGOXJIQQQpQhwUrUGiN8imnlZs+VnAJeXHuQwqJiY5ckhBBC6JFgJWoNK3NY/GQ76qkt2Hf2Kh9EnzB2SUIIIYQeCVaiVvFpYMf8x9oB8OnOU+z446KRKxJCCCH+VqVgdfHiRUJDQ/Hw8MDCwgJzc3O9hxDVaXA7d8YFegMQ/u0hzl+7aeSKhBBCiBJVugnz+PHjSU5OZubMmbi7u6NSqQxdlxC39cbg1hxMucbvqVm8sPYA6yYGYmUhO2CFEEIYV5WC1Z49e/j111/p0KGDgcsRonLUFuZ8EtKRQf/5lYPJ11gQ+Qf/GtLG2GUJIYSo46r0X3xPT08URTF0LULcFU8nWz54oj0AX+45Q2RSupErEkIIUddVKVh99NFHvP7665w9e9bA5Qhxd4LbuvHsA00AeOV/h0i+IndqFkIIYTxVClajRo1i586dNGvWDHt7e5ycnPQeQtxPrw1sRUev+lzPK2Ty2gPkFxYZuyQhhBB1VJXOsfroo48MXIYQVWdpbsaSv863Onw+i9lbjvHuI37GLksIIUQdVKVgNW7cOEPXIcQ98ahvw4cjO/D0ini+jjlH1yZODGnnYeyyhBBC1DFVClYARUVFbNy4kWPHjqFSqWjTpg3Dhg2TeayE0fRu5cKkXs34785TvL7+MG09NDRxtjN2WUIIIeqQKgWrP//8k0GDBnH+/Hl8fX1RFIUTJ07g6enJli1baNasmaHrFKJSwvu1ZP+5TPaducqkNQfYMKkH1pYS9oUQQtwfVTp5fcqUKTRr1oyUlBQOHDjAwYMHSU5OpkmTJkyZMsXQNQpRaRbmZix+KoAGdlYcS8vmnR+PGLskIYQQdUiVgtWuXbtYsGCB3hWADRo0YN68eezatctgxQlRFa4O1nz8ZAAqFXyzL4UNB1ONXZIQQog6okrBSq1Wc/369TLLb9y4gZWV1T0XJcS9eqCFM1MebgHAG98ncfJi2b+vQgghhKFVKVgNGTKEiRMnEhcXh6IoKIpCbGwszz//PMOGDTN0jUJUyZQ+LejZvAE3tUVMWnOA3IJCY5ckhBDCxFUpWP3nP/+hWbNmBAYGYm1tjbW1NT179qR58+Z8/PHHhq5RiCoxN1Px0agAGtqrOZlxg39tTJJbMQkhhKhWVboqsH79+vzwww+cPHmSP/74A0VRaNOmDc2bNzd0fULck4b2ahY/FUDI0li+P3Ce7k0aMLKLp7HLEkIIYaKqPI8VQIsWLWjRooWhahGiWnRv2oBpwb68//NxZv6QhH9jDa3dHYxdlhBCCBNU6WAVHh7Oe++9h52dHeHh4bcdu2jRonsuTAhD+r+gZuw7c5VdJy4xec0BNr34APXU9/T/CiGEEKKMSv9mOXjwIFqtVve1ELWJmZmKD0d1YPB/fuX05RxmfH+Y/zzZAZVKZezShBBCmJBKB6tffvml3K+FqC2c7KxYEhLAqM9j+fHQBbo1cWJMd29jlyWEEMKEVOmqwAkTJpQ7j1VOTg4TJky456KEqC6dvJ14bUArAN798ShJ57OMXJEQQghTUqVgtXLlSm7evFlm+c2bN/n666/vuSghqtOzDzahb2tXCoqKmbTmANl5WmOXJIQQwkTcVbDKzs4mKysLRVG4fv062dnZukdmZiZbt27FxcWlumoVwiBUKhUfPNGexo42JF/N5dXvfpf5rYQQQhjEXV0WVb9+fVQqFSqVipYtW5ZZr1KpeOeddwxWnBDVRWNrySchHXn8s71EHkln+W9nmfBAE2OXJYQQopa7q2D1yy+/oCgKDz/8MOvXr9e7CbOVlRXe3t54eHgYvEghqkN7z/q8Oag1s348ytyfjhHgVZ8AL0djlyWEEKIWu6tgFRQURGFhIWPHjqVz5854esoM1qJ2G9fDh31nr7L1cDovrD3IlikPUN9WbiQuhBCiau765HULCwvWr19PUVHRPb/57t27GTp0KB4eHqhUKjZu3Khbp9Vqee211/D398fOzg4PDw/Gjh3LhQsX9LbRq1cv3eHJ0seTTz6pNyYzM5PQ0FA0Gg0ajYbQ0FCuXbumNyY5OZmhQ4diZ2eHs7MzU6ZMoaCgQG/M4cOHCQoKwsbGhkaNGvHuu+/KuTm1nEqlYt5j7fBuYMv5azeZ9u0hiovleyqEEKJqqnRVYJ8+fdi5c+c9v3lOTg7t27dnyZIlZdbl5uZy4MABZs6cyYEDB/j+++85ceIEw4YNKzM2LCyMtLQ03ePzzz/XWx8SEkJiYiKRkZFERkaSmJhIaGiobn1RURGDBw8mJyeHPXv2EBERwfr165k2bZpuTHZ2Nv369cPDw4P4+HgWL17MwoULZZZ5E+BgXXK+lZWFGdv/yGDpr6eNXZIQQohaqkr39Bg4cCAzZswgKSmJTp06YWdnp7e+vPBT0XYGDhxY7jqNRkN0dLTessWLF9O1a1eSk5Px8vLSLbe1tcXNza3c7Rw7dozIyEhiY2Pp1q0bAEuXLiUwMJDjx4/j6+tLVFQUR48eJSUlRXeO2AcffMD48eOZPXs2Dg4OrFmzhry8PFasWIFarcbPz48TJ06waNEiwsPDZQbvWs6vkYZZQ9vyxobDLPj5OB29Heni43TnFwohhBC3qFKw+r//+z+g/HsCqlQqgxwmLE9WVhYqlYr69evrLV+zZg2rV6/G1dWVgQMH8vbbb2Nvbw9ATEwMGo1GF6oAunfvjkajYe/evfj6+hITE4Ofn5/eiff9+/cnPz+fhIQEevfuTUxMDEFBQajVar0xM2bM4OzZszRpUv4VZfn5+eTn5+ueZ2dnAyWHOktvEWQIpdsy5DZrkvvR3+MBbsScusSPv6fzwtoD/DApkAZ29+98K/ke1n6m3qP0V/uZeo/V2V9lt1mlYFVcXFyVl92TvLw8Xn/9dUJCQnBwcNAtHz16NE2aNMHNzY2kpCRmzJjBoUOHdHu70tPTy51by8XFhfT0dN0YV1dXvfWOjo5YWVnpjfHx8dEbU/qa9PT0CoPV3Llzy52CIioqCltb20p2X3n/3Mtnaqq7vwetYZ+NORez8xn/6Q6ea12M2X3eGSnfw9rP1HuU/mo/U++xOvrLzc2t1LgqBav7TavV8uSTT1JcXMx///tfvXVhYWG6r/38/GjRogWdO3fmwIEDdOzYEaDcw3SKougtr8qY0hPXb3cYcMaMGYSHh+ueZ2dn4+npSXBwsF5AvFdarZbo6Gj69euHpaWlwbZbU9zP/tp2vc5jn8fxRxacs2vJ5F5Nq/X9Ssn3sPYz9R6lv9rP1Huszv5KjzjdSZWD1a5du1i4cCHHjh1DpVLRunVrXnnlFR588MGqbrJcWq2WkSNHcubMGXbs2HHHMNKxY0csLS05efIkHTt2xM3NjYsXL5YZd+nSJd0eJzc3N+Li4vTWZ2ZmotVq9caU7r0qlZGRAVBmb9et1Gq13uHDUpaWltXyl7q6tltT3I/+2jZ24r1H/Hjlf7/znx1/0rVpA3o0c67W97yVfA9rP1PvUfqr/Uy9x+ror7Lbq9JVgatXr6Zv377Y2toyZcoUXnjhBWxsbOjTpw9r166tyibLVRqqTp48ybZt22jQoMEdX3PkyBG0Wi3u7u4ABAYGkpWVxb59+3Rj4uLiyMrKokePHroxSUlJpKWl6cZERUWhVqvp1KmTbszu3bv1pmCIiorCw8OjzCFCUfs90dmTJzo1pliBKd8kknE9z9glCSGEqAWqFKxmz57NggULWLduHVOmTOGll15i3bp1zJs3j/fee6/S27lx4waJiYkkJiYCcObMGRITE0lOTqawsJDHH3+c/fv3s2bNGoqKikhPTyc9PV0Xbk6dOsW7777L/v37OXv2LFu3buWJJ54gICCAnj17AtC6dWsGDBhAWFgYsbGxxMbGEhYWxpAhQ/D19QUgODiYNm3aEBoaysGDB9m+fTvTp08nLCxMt4csJCQEtVrN+PHjSUpKYsOGDcyZM0euCDRh7z7ih6+rPZdv5PPSN4kUyfxWQggh7qBKwer06dMMHTq0zPJhw4Zx5syZSm9n//79BAQEEBAQAEB4eDgBAQG89dZbpKamsmnTJlJTU+nQoQPu7u66x969e4GS2+hs376d/v374+vry5QpUwgODmbbtm2Ym5vr3mfNmjX4+/sTHBxMcHAw7dq1Y9WqVbr15ubmbNmyBWtra3r27MnIkSMZPnw4Cxcu1I0pnf4hNTWVzp07M2nSJMLDw/XOnxKmxcbKnE9Gd8TWypyY01f4eNsJY5ckhBCihqvSOVaenp5s376d5s2b6y3fvn37Xd3mplevXredufxOs5p7enqya9euO76Pk5MTq1evvu0YLy8vNm/efNsx/v7+7N69+47vJ0xHc5d6zB3hz0sRiSz+5U86+zjxUMuGxi5LCCFEDVWlYDVt2jSmTJlCYmIiPXr0QKVSsWfPHlasWMHHH39s6BqFMKpHOjQi7sxV1sYlM3VdIlunPIibxtrYZQkhhKiBqjxBqJubGx988AHffvstUHIu07p163jkkUcMWqAQNcFbQ9qQmHyNo2nZvPjNAb4J646FeZWOpAshhDBhVZ5u4dFHH+XRRx81ZC1C1FjWlub8d3RHhizeQ/zZTBZGneD1ga2MXZYQQogapkr/5W7atClXrlwps/zatWs0bXp/JlMU4n7zcbZjwePtAPhs1ym2Hys7P5oQQoi6rUrB6uzZs+XeDzA/P5/z58/fc1FC1FSD/N0Z38MHgPBvD5GaWblbHAghhKgb7upQ4KZNm3Rf//zzz2g0Gt3zoqIitm/fLpNlCpM3Y1ArDiZncig1ixfWHuTb5wKxspDzrYQQQtxlsBo+fDhQcm+8cePG6a2ztLTEx8eHDz74wGDFCVETqS3MWRLSkcH/+ZXElGvM++kP3hraxthlCSGEqAHu6r/ZxcXFFBcX4+XlRUZGhu55cXEx+fn5HD9+nCFDhlRXrULUGJ5OtnwwsgMAy347Q2RS+u1fIIQQok6o0vGLM2fO4Oysf1Paa9euGaIeIWqNfm1cmfhQycUar/zvEOeu5Bi5IiGEEMZWpWA1f/581q1bp3v+xBNP4OTkRKNGjTh06JDBihOipnulvy+dvB25nlfI5LUHyNOWvahDCCFE3VGlYPX555/rbl0THR3Ntm3biIyMZODAgbzyyisGLVCImszS3IzFTwXgaGtJ0vlsZm85ZuyShBBCGFGVglVaWpouWG3evJmRI0cSHBzMq6++Snx8vEELFKKm86hvw4ejOgCwKvYcPx66YNyChBBCGE2VgpWjoyMpKSkAREZG0rdvX6DkpsnlzW8lhKnr5evC5N7NAHh9/e+cvnTDyBUJIYQwhioFqxEjRhASEkK/fv24cuUKAwcOBCAxMZHmzZsbtEAhaouX+7akWxMncgqKmLRGzrcSQoi6qErB6sMPP+SFF16gTZs2REdHU69ePaDkEOGkSZMMWqAQtYXFX+dbOdez4o/067z9wxFjlySEEOI+q9JNmC0tLZk+fXqZ5VOnTr3XeoSo1VwcrPn4yQDGfBXHuv0pdG3ixGOdGhu7LCGEEPdJpYPVpk2bGDhwIJaWlnq3tinPsGHD7rkwIWqrns2dealPCz7adpJ/bUyiXWMNLVztjV2WEEKI+6DSwWr48OGkp6fj4uKiu7VNeVQqlZzALuq8Fx9uwf6zmez58zL/t+YAm17oia1VlXYQCyGEqEUqfY5VcXExLi4uuq8rekioEgLMzVR89GQHXOzV/Jlxg39tSEJRFGOXJYQQoprd9cnrxcXFLFu2jCFDhuDn54e/vz+PPPIIX3/9tfziEOIWzvXULH4qADMVfH/wPOviU4xdkhBCiGp2V8FKURSGDRvGs88+y/nz5/H396dt27acPXuW8ePH8+ijj1ZXnULUSt2aNmB6f18A3t50hKMXso1ckRBCiOp0V8FqxYoV7N69m+3bt3Pw4EG++eYbIiIiOHToENu2bWPHjh18/fXX1VWrELXS8w81o7dvQ/ILi5m89gDX87TGLkkIIUQ1uatg9c033/DGG2/Qu3fvMusefvhhXn/9ddasWWOw4oQwBWZmKhaN7ICHxpozl3OY8f1hOWwuhBAm6q6C1e+//86AAQMqXD9w4EAOHTp0z0UJYWoc7axYHNIRCzMVm39PY3XsOWOXJIQQohrcVbC6evUqrq6uFa53dXUlMzPznosSwhR18nbk9YGtAHhv8zEOp2YZuSIhhBCGdlfBqqioCAuLiufiMTc3p7Cw8J6LEsJUPfNAE/q1caWgqJhJaxPIuinnWwkhhCm5qxkLFUVh/PjxqNXqctfn5+cbpCghTJVKpWLh4+0ZvPhXUq7e5NX/HeKzMZ1QqVTGLk0IIYQB3NUeq3HjxuHi4oJGoyn34eLiwtixY6urViFMgsbWkv+O7oiVuRk/H7nIst/OGrskIYQQBnJXe6yWL19eXXUIUae0a1yffw1pzVs/HGHu1mMEeNXH372escsSQghxj+565nUhhGGEdvdmsL87hcUKL6w5QGZugbFLEkIIcY8kWAlhJCqVinmP+ePTwJYLWXm8sj6JYpneSgghajUJVkIYkb21JZ+M7oiVhRm7Tlxm23k5iV0IIWozCVZCGFlbDw3vDGsLwJYUc5bvlclDhRCitpJgJUQN8GQXT/4vqAkAc346zue7Thm5IiGEEFUhwUqIGkClUvFyn+YMaFwMwNyf/uCTX/40clVCCCHulgQrIWoIlUrFQM9iXnq4GQDv/3yc/2w/aeSqhBBC3A0JVkLUMC/0bsYr/X0BWBR9gkXRJ1AUuVxQCCFqA6MGq927dzN06FA8PDxQqVRs3LhRb72iKMyaNQsPDw9sbGzo1asXR44c0RuTn5/Piy++iLOzM3Z2dgwbNozU1FS9MZmZmYSGhupmiA8NDeXatWt6Y5KTkxk6dCh2dnY4OzszZcoUCgr05xU6fPgwQUFB2NjY0KhRI9599135hSeqxeTezXljUMkNm/+z/SQfREm4EkKI2sCowSonJ4f27duzZMmSctcvWLCARYsWsWTJEuLj43Fzc6Nfv35cv35dN2bq1Kls2LCBiIgI9uzZw40bNxgyZAhFRUW6MSEhISQmJhIZGUlkZCSJiYmEhobq1hcVFTF48GBycnLYs2cPERERrF+/nmnTpunGZGdn069fPzw8PIiPj2fx4sUsXLiQRYsWVcMnIwRMfKgZM4e0AWDJL38yP/K4hCshhKjh7uqWNoY2cOBABg4cWO46RVH46KOPePPNNxkxYgQAK1euxNXVlbVr1/Lcc8+RlZXFV199xapVq+jbty8Aq1evxtPTk23bttG/f3+OHTtGZGQksbGxdOvWDYClS5cSGBjI8ePH8fX1JSoqiqNHj5KSkoKHhwcAH3zwAePHj2f27Nk4ODiwZs0a8vLyWLFiBWq1Gj8/P06cOMGiRYsIDw+Xm+iKavHMA02wMFPx9qYjfLbrFEXFxbwxqLX8fRNCiBrKqMHqds6cOUN6ejrBwcG6ZWq1mqCgIPbu3ctzzz1HQkICWq1Wb4yHhwd+fn7s3buX/v37ExMTg0aj0YUqgO7du6PRaNi7dy++vr7ExMTg5+enC1UA/fv3Jz8/n4SEBHr37k1MTAxBQUGo1Wq9MTNmzODs2bM0adKk3D7y8/PJz8/XPc/OzgZAq9Wi1Wrv/YP6S+m2DLnNmsTU+4OKewzp0ghFKWbWj8dY+usZCgqLeHOgb60LV3X5e2gqpL/az9R7rM7+KrvNGhus0tPTAXB1ddVb7urqyrlz53RjrKyscHR0LDOm9PXp6em4uLiU2b6Li4vemH++j6OjI1ZWVnpjfHx8yrxP6bqKgtXcuXN55513yiyPiorC1ta23Nfci+joaINvsyYx9f6g/B4dgVFNVaw7bc7KmGROnz7LiCbFmNWubAXU3e+hKZH+aj9T77E6+svNza3UuBobrEr983/liqLc8X/q/xxT3nhDjCk93+V29cyYMYPw8HDd8+zsbDw9PQkODsbBweG2fdwNrVZLdHQ0/fr1w9LS0mDbrSlMvT+4c4+DgPYJ53nzhyP8etGMRl5evDOkNWa1JF3J97D2k/5qP1PvsTr7Kz3idCc1Nli5ubkBJXuD3N3ddcszMjJ0e4rc3NwoKCggMzNTb69VRkYGPXr00I25ePFime1funRJbztxcXF66zMzM9FqtXpjSvde3fo+UHav2q3UarXe4cNSlpaW1fKXurq2W1OYen9w+x5DuvugtrRg+v8OERGfiqKomDvCv9aEK5DvoSmQ/mo/U++xOvqr7PZq7DxWTZo0wc3NTW93XkFBAbt27dKFpk6dOmFpaak3Ji0tjaSkJN2YwMBAsrKy2Ldvn25MXFwcWVlZemOSkpJIS0vTjYmKikKtVtOpUyfdmN27d+tNwRAVFYWHh0eZQ4RCVKfHOjXmw5EdMFPBuv0pvLr+d4qK5WpBIYSoCYwarG7cuEFiYiKJiYlAyQnriYmJJCcno1KpmDp1KnPmzGHDhg0kJSUxfvx4bG1tCQkJAUCj0fDMM88wbdo0tm/fzsGDBxkzZgz+/v66qwRbt27NgAEDCAsLIzY2ltjYWMLCwhgyZAi+viWTMAYHB9OmTRtCQ0M5ePAg27dvZ/r06YSFhekO14WEhKBWqxk/fjxJSUls2LCBOXPmyBWBwiiGBzTi4ycDMDdT8b+EVKZ/d0jClRBC1ABGPRS4f/9+evfurXteei7SuHHjWLFiBa+++io3b95k0qRJZGZm0q1bN6KiorC3t9e95sMPP8TCwoKRI0dy8+ZN+vTpw4oVKzA3N9eNWbNmDVOmTNFdPThs2DC9ubPMzc3ZsmULkyZNomfPntjY2BASEsLChQt1YzQaDdHR0UyePJnOnTvj6OhIeHi43vlTQtxPQ9t7YG6mYso3B9lw8DxFxQqLRrbHwrzG7ogWQgiTZ9Rg1atXr9tOeKhSqZg1axazZs2qcIy1tTWLFy9m8eLFFY5xcnJi9erVt63Fy8uLzZs333aMv78/u3fvvu0YIe6nQf7umKlUvLD2AJsOXaCoWOGjJztgKeFKCCGMQv71FaKWG+DnxqdjOmFprmLL4TReXHuQgsJiY5clhBB1kgQrIUxAvzaufB7aCStzMyKPpDN57QEJV0IIYQQSrIQwEQ+3cuWLsZ2wsjAj+uhF/m91AvmFRXd+oRBCCIORYCWECenl68JX4zqjtjBj+x8ZPLcqgTythCshhLhfJFgJYWIebNGQ5eO7YGNpzs7jlwj7er+EKyGEuE9q7MzrQoiq69HcmeVPd2HCinh+PXmZZ1bG8+XYLthYmd/5xfdLVhZU8t5btUZhIZrcXEhPBwsT/Of1XvuztQWNxvB1CVGDmOBPvhACoHvTBqyc0JXxy/bx259XeHrFPpaN74KtVQ34sc/KgiVLoLDQ2JUYlCXQC+DECeMWUk3uuT8LC3jhBQlXwqTVgH9hhRDVpYuPE18/041xy/YRe/oq45fFs+zpLtRTG/lHPze3JFR16AC3TPgrTNj165CYWPK9l2AlTJgEKyFMXCdvR1Y905Wxy/ax7+xVxi3bx4qnu2BvXQNuwGpvL79khRAmRU5eF6IOCPByZM2z3XCwtiDhXCahX+0jO09r7LKEEMLkSLASoo5o17g+a8O6U9/WksSUa4R+GUdWroQrIYQwJAlWQtQhfo00rH22O462lhxKzWL0V7Fcyy0wdlmVdvbCBVSdO5N4/HiFY1b8+CP1e/Wq8nuoOndm486dVX69Mfzzc9m5fz+qzp25dv26kSsTou6Rc6yEqGPaeDjwzcTujF4aR9L5bEKWxrH62W442VkZtS5V5863XT9uyBBmTZx4x+2M6tePQT17VrmOtMhIHB0cqvz66tBr4kR2HThQZvlzI0bw2RtvGKGi8o2fNYtr16+z8YMPjF2KEEYjwUqIOqiVmwMRE7vz1NI4jqZlE7I0ljXPdqNBPbXRakqLjNR9vS46mrc++4zj69frltlYW5OZnX3H7dhYW2NjbV3lOtycnav82uoU9uijvPvcc3rLbO+hTyFE9ZBDgULUUS1c7YmY2B0XezV/pF/nqaWxXLqeb7R63JyddQ9NvXqoVKoyy0qdPn+e3s89h23PnrR/6ilifv9dt+6fhwIPnThB7+eew/6hh3AICqLTmDHsP3q0wjpuPRRYoNXywvz5uPfvj3WPHvgMHcrc5csrfG38kSP0mzQJ5z590AQFETRxIgf++KPM9r/cuJFHp0/HtmdPWjz6KJt27brj52Nrba33ebg5O+Nwy2dSnt8OHaL9U09h3aMH3caN4/Cff+qtX799O21HjkQdGIjP0KF8sHq1bt3iiAj8R43SPd+4cyeqzp355Ntvdcv6v/ACM5YsuWPtQtQlEqyEqMOau9QjYmJ3XB3UnLh4gye/iCEjO8/YZd3Rm//9L9NDQ0lcu5aWXl489eabFFYw2ejof/2Lxi4uxH/9NQmrVvH6+PFYVnLW8P9ERLBp926+nTeP4+vXs/q99/Bxd69w/PXcXMYNGcKvX35J7IoVtPD0ZNBLL3E9J0dv3DtLlzKyb19+j4hgUM+ejJ45k6tZWZX/ACrplY8/ZuFLLxH/9de4ODkxLDwc7V+fU8KxY4ycMYMng4M5HBHBrIkTmfnpp6z48UcAenXuzJHTp7l87RoAuxIScK5fX3dIsrCwkL2//05Qx44Gr1uI2kyClRB1XNOG9Vg3MRB3jTWnLuXw5BexpGfV7HA1fcwYBj/wAC29vXnnuec4l5bGn6mp5Y5NvniRvt260crHhxZeXjzRty/tW7as1Pskp6fTwsuLBzp0wNvdnQc6dOCpAQMqHP9wly6MGTSI1k2a0LpJEz5/4w1y8/LKnB81fsgQnhowgOaensyZPJmcmzfZd+TIbWv573ffUe/BB/UeKzdvvu1r3g4Lo1/37vg3b87KWbO4eOUKG375BYBFa9bQp0sXZj77LC29vRk/dCgvjBzJ+6tWAeDXrBkNNBp2JSQAsDMhgWljxuh6iT96lLz8fB7o0EH3fmYqFWZm8mtF1G3yEyCEwMfZjnUTA2lU34bTl3N48osY0rJuGrusCrVr0UL3tftf50RlXL1a7tjwkBCefe89+k6axLwVKzhVQQArz/ihQ0k8cQLfxx5jyvvvExUbe9vxGVev8vycObQcMQJNUBCaXr24kZtLcnp6hfXb2dhgb2tbYf2lRg8cSOLatXqPR+9w9WNgu3a6r500Gny9vTl25gwAx86coWf79nrje7Zvz8nkZIqKilCpVDwUEMDOhASuXb/OkdOnef6xxygqKuLYmTPsTEigY6tW1LO11b2+nq0t9WxsbluTEKZOgpUQAgCvBrZETOyOp5MNZ6/kMurzWM5fq5nh6tZDeSqVCoDi4uJyx8567jmOfPstg3v2ZEd8PG2eeEK31+ZOOrZqxZkffuC955/nZn4+I19/ncdffbXC8eNnzSLhjz/4KDycvcuWkbh2LQ00Ggq0+vOF/fNQpEqlolhRbluLpl49mnt66j3udI5VeUo/L0VRdF+X+mcFvTp1YmdCAr8ePEj7li2pb2/PQx07sishgZ0JCfTq1KlMjbcGLSHqIglWQggdTydbIiYG4t3AluSruYz6PIaUq7nGLuuetfT25uXRo4n65BNG9O7N8k2bKv1ah3r1GBUczNJ//Yt1c+eyfseOCs+H+jUxkSmjRjHogQdo26wZaktL3TlKxhB7+LDu68zsbE4kJ9PKxweANk2bsicxUW/83kOHaOnlhbm5OfD3eVb/275dF6KCOnZk27595Z5f9d7//R//ff316mtIiFpAgpUQQk+j+jZETOxOE2c7UjNv8uQXsSRfqZ3h6mZeHi/Mn8/O/fs5l5bGb4mJxB89SusmTSr1+g/XrCHi55/54+xZTpw7x3fbtuHWoAH1K7hxdPPGjVm1dSvHzpwhLimJ0TNnYqM2zBQWuXl5pF++rPe40/QT7y5dyvZ9+0j680/Gz5qFc/36DP/r8OG0MWPYHh/Pe19+yYlz51i5eTNLvv2W6aGhuteXnme1JjJSF6x6derExl27uPmP86sAZixZwgvz5xukXyFqK5nHSghRhrvG5q95rmI5fSmHUV/E8E1Yd3yc7Yxd2l0xNzfnSlYWY99+m4tXr+Jcvz4jevfmnX/MB1WRera2zF+5kpMpKZibmdGlbVu2fvxxhSdoL3vrLSbOmUPA6NF4ubkxZ9Ikpn/8sUF6WbphA0s3bNBb1j8wkMjFiyt8zbwXX+SlhQs5mZJC+xYt2LRoEVaWJTff7tiqFd/Onctbn3/Oe19+ibuzM+8+/zzjhw7VvV6lUhHUsSMbd+3iwb9CVLsWLdDUq0fTRo3KHIpMu3xZZnsXdZ5KUe5wYF8YVHZ2NhqNhqysLBwMOLuzVqtl69atDBo0CMu//uE0JabeH9TMHjOu5xGyNI4/M27g6qDmm7DuNG149+f1wD/6u3wZvvgCHnwQNBoDVy1qpKws+PVXmDgRbjNlhTHVxJ9BQzP1Hquzv8r+/pZDgUKICrnYWxMxsTu+rvZczM5n1Bex/JkheySEEKIiEqyEELflXE/N2rButHKz59L1fJ78IpYTFyVcCSFEeSRYCSHuqEG9ksOAbdwduHyjgCe/iOVY2p3v2yeEEHWNBCshRKU42lmxNqwb/o00XM0pIGRpLEcuGP42LEIIUZtJsBJCVFp9WytWP9uN9p71yczVErI0jqTzEq6EEKKUTLcghLgrGhtLVj3TlXHL9nEw+RohS2NZ9UxJ2Lprcml+3SHfa1FHSLASQtw1B2tLvp7QlaeXx7P/XCZjvoxj5TNd6ejlWLkN2NqChQX8Y+ZvYeIsLEq+90KYMAlWQogqsbe2ZOWErjy9Ip59Z64y9qt9rJzQhU7eTnd+sUYDL7wAubVzRveKaAsL+W3PHno+8ECZ+wHWaseOwZgxaNVqfpszh57du2NpbX3327G1lXnLhMkzoZ98IcT9Zqe2YMXTXXhmxX5iTl9h7Ff7WP50V7o2qWS4MrVfslotWba24OYGpjL54owZMG9eydezZ5f017ix6fQnhIHJyetCiHtia2XBsvFdeKC5MzkFRYxbto+YU1eMXZa4VwUFoFL9HaoOH4ZXXjFuTULUAhKshBD3zMbKnC/Hdeahlg25qS3i6RX7+O3Py8YuS1TVoUNQevNoS8uSkOXnZ9yahKglJFgJIQzC2tKcL0I70du3IXnaYiasiGf3iUvGLkvcrbffhr9uuMy//lUSquSwnxCVJsFKCGEw1pbmfBbaib6tXcgvLObZr/ez83iGscsSlVFYCNbW8O67Jc8PHoT33jNuTULUQjU+WPn4+KBSqco8Jk+eDMD48ePLrOvevbveNvLz83nxxRdxdnbGzs6OYcOGkZqaqjcmMzOT0NBQNBoNGo2G0NBQrl27pjcmOTmZoUOHYmdnh7OzM1OmTKGgoKBa+xeitlFbmPPf0Z0IbuNKQWExE79OYMcfF41dlridI0dK9krl55c8z8//e6+VEOKu1PhgFR8fT1pamu4RHR0NwBNPPKEbM2DAAL0xW7du1dvG1KlT2bBhAxEREezZs4cbN24wZMgQioqKdGNCQkJITEwkMjKSyMhIEhMTCQ0N1a0vKipi8ODB5OTksGfPHiIiIli/fj3Tpk2r5k9AiNrHysKMT0Z3ZKCfGwVFxTy3KoHtx2TPVY00Z87f50+9+iooClhZGbcmIWqxGj/dQsOGDfWez5s3j2bNmhEUFKRbplarcXNzK/f1WVlZfPXVV6xatYq+ffsCsHr1ajw9Pdm2bRv9+/fn2LFjREZGEhsbS7du3QBYunQpgYGBHD9+HF9fX6Kiojh69CgpKSl4eHgA8MEHHzB+/Hhmz56Ng4NDdbQvRK1laW7Gf54K4OV1iWz+PY0XIg4xtrmKQcYuTJQoKoIGDSDrr1sSxcdD587GrUkIE1Dj91jdqqCggNWrVzNhwgRUKpVu+c6dO3FxcaFly5aEhYWRkfH3/4wTEhLQarUEBwfrlnl4eODn58fevXsBiImJQaPR6EIVQPfu3dFoNHpj/Pz8dKEKoH///uTn55OQkFBtPQtRm1mam/HRqA480sGDwmKF5SfM+NcPR7h8I9/YpdVtx4+XzIJeGqpu3pRQJYSB1Pg9VrfauHEj165dY/z48bplAwcO5IknnsDb25szZ84wc+ZMHn74YRISElCr1aSnp2NlZYWjo/6tNlxdXUlPTwcgPT0dFxeXMu/n4uKiN8bV1VVvvaOjI1ZWVrox5cnPzyc//+9fItnZ2QBotVq0Wu3dfQC3UbotQ26zJjH1/sC0e5z/aFuszWFdwgXW7T/PlsMXebF3U8Z088LKolb9/+62asX3cPHikqv9bGzg//7v73mqKlFzrejvHph6f2D6PVZnf5XdZq0KVl999RUDBw7U22s0atQo3dd+fn507twZb29vtmzZwogRIyrclqIoenu9bv36Xsb809y5c3nnnXfKLI+KisK2Gu6ZVXoOmqky9f7AdHvsYQWubeH7s+ak5hQyN/IEX+08zqM+xbRxVIxdnkHV6O9hs2bwzTd/P//HOamVUaP7MwBT7w9Mv8fq6C+3krfgqjXB6ty5c2zbto3vv//+tuPc3d3x9vbm5MmTALi5uVFQUEBmZqbeXquMjAx69OihG3PxYtmrli5duqTbS+Xm5kZcXJze+szMTLRabZk9WbeaMWMG4eHhuufZ2dl4enoSHBxs0POytFot0dHR9OvXD0sTnHPG1PsD0+9Rq9VCdDQ/vdybH5Mu8UH0STJyCvj8D3OCWjrzxgBfmja0M3aZ96TGfg9Pn4aAgL+fX7xYMrXCXaqx/RmIqfcHpt9jdfZXesTpTmpNsFq+fDkuLi4MHjz4tuOuXLlCSkoK7u7uAHTq1AlLS0uio6MZOXIkAGlpaSQlJbFgwQIAAgMDycrKYt++fXTt2hWAuLg4srKydOErMDCQ2bNnk5aWptt2VFQUarWaTp06VViPWq1GXTqD8S0sLS2r5S91dW23pjD1/sD0e7RWWxHS3YehHRqxeMefLP/tDLtOXOa3P68wvocPL/Zpgcamdvdfo76H//kPvPRSydfPPw+ffnrPm6xR/VUDU+8PTL/H6uivsturFSc3FBcXs3z5csaNG4fFLXeMv3HjBtOnTycmJoazZ8+yc+dOhg4dirOzM48++igAGo2GZ555hmnTprF9+3YOHjzImDFj8Pf3110l2Lp1awYMGEBYWBixsbHExsYSFhbGkCFD8PX1BSA4OJg2bdoQGhrKwYMH2b59O9OnTycsLEyuCBSiCuytLXljUGt+nvoQfVq5UFis8OWeMzy8cCff7EumqNi0Dg/ed8XF4OPzd6j69VeDhCohxO3VimC1bds2kpOTmTBhgt5yc3NzDh8+zCOPPELLli0ZN24cLVu2JCYmBnt7e924Dz/8kOHDhzNy5Eh69uyJra0tP/74I+bm5roxa9aswd/fn+DgYIKDg2nXrh2rVq3Se68tW7ZgbW1Nz549GTlyJMOHD2fhwoXV/wEIYcKaNqzHV+O7sOLpLjRraMeVnAJmfH+YoYv3EHdabuZcJWfPgrk5nDtX8vzGDXjgAaOWJERdUSsOBQYHB6MoZf/3amNjw88//3zH11tbW7N48WIWL15c4RgnJydWr1592+14eXmxefPmOxcshLhrvXxd6NncmVUx5/hw2wmOpmUz6otYBrdzZ8bAVjR2NPzFHibps89KrvYDePppWLbMuPUIUcfUimAlhKgbLM3NmPBAEx7p4MGi6BN8sy+ZLb+nse3oRZ4Lasb/BTXDxsr8zhuqixQFWrcumaMKYMcO6N3buDUJUQfVikOBQoi6pUE9NbMf9Wfziw/SrYkT+YXF/Gf7SR7+YCebDl0odw92nZaSAmZmf4eq7GwJVUIYiQQrIUSN1cbDgYiJ3fl0dEca1bchLSuPKd8c5InPYjicmmXs8mqGZcvAy6vk65CQkj1Xt5xjKoS4vyRYCSFqNJVKxUB/d7ZPC2Jav5bYWJqz/1wmwz7Zw2v/+51L1+vo7XEUBTp0gGeeKXkeFQVr1hi1JCGEBCshRC1hbWnOi31asGN6EMM7eKAosG5/Cr0X7uSL3acoKCw2don3z4ULJYf+Dh0qeX7tGvTrZ9SShBAlJFgJIWoVd40NHz0ZwPr/C6RdYw038guZs/UP+n+0m+3HLpr++VerVkGjRiVfjxhRsudKozFuTUIIHQlWQohaqZO3Exsn9eT9x9vhXE/Nmcs5PLNyP+OWx/NnxnVjl2d4igLdu8PYsSXPt2yB9euNW5MQogwJVkKIWsvMTMUTnT35ZXoQzwc1w8rcjN0nLjHgo19598ejZOUa/g73RnHxYsmhv9L7lV69CoMGGbcmIUS5JFgJIWo9e2tLXh/YiqiXH6JfG1cKixWW/XaG3h/sZE3cudp9e5x168DNreTrwYNL9lzdckN5IUTNIsFKCGEyfJztWDq2M6ue6UoLl3pczSngzQ1JDFm8h5hTtez2OIoCvXrBk0+WPN+4EeTOD0LUeBKshBAm58EWDfnppQeZNbQNDtYWHEvL5qmlsUxak0DK1Vxjl3dnly6VHPrbtavk+eXL8Mgjxq1JCFEpEqyEECbJwtyM8T2bsPOV3oR298ZMBVsPp9N30S4+iDpObkGhsUss3/ffg4tLydd9+kBxMTRoYNyahBCVJsFKCGHSnOyseG+4H1tfepDApg3ILyxm8Y4/eXjhLjYePG+c6RkKC+HBB0vOnfrn47HH/h6XlATu7iXLjx27/3UKIe6aBCshRJ3Qys2BtWHd+GxMJzydbEjPzmPqukQe+3Qvv6deu7/FfP457NlTcrXfPx+3Kl1mZ1cSxoQQNZ4EKyFEnaFSqRjg50b0y0G80t8XWytzDiRfY9iS33jlu0NkXM+r/iIuX4Y33rj9GLO//mlu1QoiIuDECfD3r/7ahBD3TIKVEKLOsbY0Z3Lv5vwyvRcjOpbMYv5dQiq939/JZ7tOkV9YVH1v/sYbkJNT/jpz85I/27UruQrwyBEYNerv5UKIGk+ClRCiznJ1sGbRyA5smNSD9p71ySkoYt5PfxD84W6ij1bD7XESEuDLL6HoH8GtNDh16QKRkXDgQMlVgGbyT7QQtY381Aoh6rwAL0c2/F8PFo1sj4u9mnNXcgn7ej9jl+3j5EUD3R6nuBgmTdIPSxYWJX8+9BDs3Al790L//qBSGeY9hRD3nQQrIYSg5PY4Izo2Zsf0XkzqVXJ7nF9PXmbAx78ya9MRruUW3NsbrF4N+/aV7K0qDVTBwRATAzt2QFCQBCohTIAEKyGEuEU9tQWvDmjFtvAg+rd1pahYYcXes/ReuJNVsecoLCq++41mZ0N4+N/Phw4tOdy3ZUvJjZWFECZDgpUQQpTDq4Etn4d2Zs2z3fB1tSczV8vMjSW3x9n75+W721h+Pjg4wFNPlcxN9f33EBBQPYULIYzKwtgFCCFETdazuTNbpjzAN/uS+SD6BH+kXyfkyzgGtHXjzcGt8XSyvfNGGjaEkyfl6j4h6gDZYyWEEHdgYW5GaKAPO6f3YnwPH8zNVEQeSafPol28//Mf5ORXYvJOCVVC1AkSrIQQopLq21oxa1hbfnrpQR5o7kxBYTGf/HKK3gt38v2BVIqLjXB7HCFEjSLBSggh7lJLV3tWPdOVpWM7493Alozr+YR/e4iRS/fx20UVpy7lGOcehEIIo5NzrIQQogpUKhX92rjyUEtnlu05y5IdJzmUmsUhzPn2P7/hXE9NtyZOdG3iRLemTrR0scfMTKZTEMLUSbASQoh7oLYw5/96NeOxjo1YHXOWrQknSc614PKNfLYcTmPL4TQA6tta0sXHiW5NnOjetAGt3R0wl6AlhMmRYCWEEAbg4mDNiw83o1necfoEP8zR9Bz2nblC3Jmr7D+bybVcLdFHLxJ99CIA9moLOvs40q1pA7o2ccK/kQZLczk7Q4jaToKVEEIYmNrCjK5/HQZ8AdAWFZN0Pou4M1eJO32F/WczuZ5fyC/HL/HL8UsA2FqZ08nbka4+TnRr2oD2nhrUFnIloRC1jQQrIYSoZpbmZgR4ORLg5cjzQc0oKlY4lpZN7OmSPVrxZ69yLVfLrycv8+vJkslH1RZmBHjVp2uTBnRv4kSAlyM2VhK0hKjpJFgJIcR9Zm6mwq+RBr9GGp59sCnFxQonMq4Td/oq+85cJe7MFS7fKCD29FViT1/lP4CluYp2jevTrUnJHq1O3o7UU8s/4ULUNPJTKYQQRmZmpqKVmwOt3BwY18MHRVE4dSlHF7LiTl8lPTuPhHOZJJzL5L87T5WEMw+HknO0fJzo0sQJjY2lsVsRos6TYCWEEDWMSqWiuUs9mrvUI6SbF4qikHL1JrF/hay4M1dIzbxZMr1DahZf7D6NSgWt3Rzo2sSJ7k2d6NqkAU52VsZuRYg6R4KVEELUcCqVCq8Gtng1sGVkZ08Azl+7WXLV4V+HD09fzuFoWjZH07JZsfcsAC1c6tGtqRPdmjSgWxMnXBysjdiFEHWDBCshhKiFGtW34dGAxjwa0BiAjOw84s78fY7WiYs3OJlR8lgdmwxAE2e7v87RKtmj1ai+jTFbEMIkSbASQggT4OJgzdD2Hgxt7wHAlRv5xJ/N1J2jdSw9mzOXczhzOYeI+BQAGjva6PZmdWvqhJeTLSqVTFoqxL2QYCWEECaoQT01A/zcGODnBkBWrpb9566WzKV15ipJ57NIzbxJamYq6w+kAuDmYK27BU+3Jg1o1tBOgpYQd6lGT/M7a9YsVCqV3sPNzU23XlEUZs2ahYeHBzY2NvTq1YsjR47obSM/P58XX3wRZ2dn7OzsGDZsGKmpqXpjMjMzCQ0NRaPRoNFoCA0N5dq1a3pjkpOTGTp0KHZ2djg7OzNlyhQKCgqqrXchhDAkja0lfVq78sag1vwwuSeH3g5m5YSuTOrVjM7ejliaq0jPzmPToQu8uSGJvot20WX2NiatSWDl3rMcS8umuFhuLC3EndT4PVZt27Zl27Ztuufm5n9PkLdgwQIWLVrEihUraNmyJf/+97/p168fx48fx97eHoCpU6fy448/EhERQYMGDZg2bRpDhgwhISFBt62QkBBSU1OJjIwEYOLEiYSGhvLjjz8CUFRUxODBg2nYsCF79uzhypUrjBs3DkVRWLx48f36KIQQwmDqqS0IatmQoJYNAbhZUMTB5My/9mhd4WDyNS7fKGDr4XS2Hk4HoL6NJY2szThre5rOTRrQrrEGe2uZ4kGIW9X4YGVhYaG3l6qUoih89NFHvPnmm4wYMQKAlStX4urqytq1a3nuuefIysriq6++YtWqVfTt2xeA1atX4+npybZt2+jfvz/Hjh0jMjKS2NhYunXrBsDSpUsJDAzk+PHj+Pr6EhUVxdGjR0lJScHDo+T8hQ8++IDx48cze/ZsHBwc7tOnIYQQ1cPGypwezZ3p0dwZgPzCIn5PzSLur9nhE85lcu2mlms3zTiy/U/gT1QqaOliT4BX/b8ejjRvWA8zubm0qMNqfLA6efIkHh4eqNVqunXrxpw5c2jatClnzpwhPT2d4OBg3Vi1Wk1QUBB79+7lueeeIyEhAa1WqzfGw8MDPz8/9u7dS//+/YmJiUGj0ehCFUD37t3RaDTs3bsXX19fYmJi8PPz04UqgP79+5Ofn09CQgK9e/eusP78/Hzy8/N1z7OzswHQarVotVqDfEal27v1T1Nj6v2B6fdo6v2BafVoBnRoZE+HRvY896AP2qJiDiVf5dsd8eTZufP7+WzOX8vj+MXrHL94XXdCfD21Be0aO9ChcX06eGpo31hTa+bTMqXvX0VMvcfq7K+y26zRwapbt258/fXXtGzZkosXL/Lvf/+bHj16cOTIEdLTS3ZNu7q66r3G1dWVc+fOAZCeno6VlRWOjo5lxpS+Pj09HRcXlzLv7eLiojfmn+/j6OiIlZWVbkxF5s6dyzvvvFNmeVRUFLa2trd9bVVER0cbfJs1ian3B6bfo6n3B6bdYy93gAsMcICsAjh3Q8XZ6yrO3VCRfANu5Bey99RV9p66qnuNs7WCTz0FH/uSPz1swbwGn+Fryt+/UqbeY3X0l5ubW6lxNTpYDRw4UPe1v78/gYGBNGvWjJUrV9K9e3eAMlesKIpyx6tY/jmmvPFVGVOeGTNmEB4ernuenZ2Np6cnwcHBBj2EqNVqiY6Opl+/flhamt45D6beH5h+j6beH5h+j3fqr7ComBMZN0hMySIxNYtDKdc4fTmXy3kqLuep2F9yf2nUFmb4N3KgfWMNHTxL9my51YDJS039+wem32N19ld6xOlOanSw+ic7Ozv8/f05efIkw4cPB0r2Jrm7u+vGZGRk6PYuubm5UVBQQGZmpt5eq4yMDHr06KEbc/HixTLvdenSJb3txMXF6a3PzMxEq9WW2ZP1T2q1GrVaXWa5paVltfylrq7t1hSm3h+Yfo+m3h+Yfo8V9WdpCe291LT3asC4v5Zl5WpJTL3GweRMDiaX/JmdV8j+c9fYf+4aUHKEwV1jXXKelqcjAV718WukwdrSvMx73A+m/v0D0++xOvqr7PZqVbDKz8/n2LFjPPjggzRp0gQ3Nzeio6MJCAgAoKCggF27djF//nwAOnXqhKWlJdHR0YwcORKAtLQ0kpKSWLBgAQCBgYFkZWWxb98+unbtCkBcXBxZWVm68BUYGMjs2bNJS0vThbioqCjUajWdOnW6r5+BEELUJhpbS72rD4uLFc5cydGFrIPJ1/gjPZu0rDzSbrkC0cJMRRsPBwI8S06KD/CqLxOYilqhRger6dOnM3ToULy8vMjIyODf//432dnZjBs3DpVKxdSpU5kzZw4tWrSgRYsWzJkzB1tbW0JCQgDQaDQ888wzTJs2jQYNGuDk5MT06dPx9/fXXSXYunVrBgwYQFhYGJ9//jlQMt3CkCFD8PX1BSA4OJg2bdoQGhrK+++/z9WrV5k+fTphYWFyRaAQQtwFMzMVzRrWo1nDejzeqeR2PDn5hRw+n6ULWweSr3H5Rj6/p2bxe2oWK2NK9mo52Vn9FbRKwpZM9yBqohodrFJTU3nqqae4fPkyDRs2pHv37sTGxuLt7Q3Aq6++ys2bN5k0aRKZmZl069aNqKgo3RxWAB9++CEWFhaMHDmSmzdv0qdPH1asWKE3H9aaNWuYMmWK7urBYcOGsWTJEt16c3NztmzZwqRJk+jZsyc2NjaEhISwcOHC+/RJCCGE6bJTW9C9aQO6N20AlJy/ev7azb+C1jUOpmRy5Hw2V3MK2P5HBtv/yACQ6R5EjVSjg1VERMRt16tUKmbNmsWsWbMqHGNtbc3ixYtvO5Gnk5MTq1evvu17eXl5sXnz5tuOEUIIce9UKhWNHW1p7Giru/dhfmERRy9k/xW0SvZspWbeLDPdg73agva6vVr16eDpWGumexCmoUYHKyGEEAJAbWH+17lWt1yIdD2PxFuC1u+pWVzPL2TPn5fZ8+dl3TifBra687QCPB1p5W6PZU2e70HUahKshBBC1Eou9tYEt3UjuG3J3TkKi4o5cfEGB1P+vgLx1KUczl7J5eyVXDYcPA+UTveg0R0+DPCqj7vGxpitCBMiwUoIIYRJsDA3o42HA208HBjdreRc3Fune0hMKTlnK+umlv3nMtl/LhM4A4CbgzXtGztgeUOFKimdJg0d8HSyQWNjKVciirsiwUoIIYTJ+ud0D4qicOZyju6k+JLpHq6Tnp1H+tE8wJzNyb/rXm+vtsDTyRZPJxs8HW3xdLLF66/njR1tjTbXlqi5JFgJIYSoM1QqFU0b1qNpw3o89td0D7kFhRxOzWL/2SvsOHCcYhtHUq/lcel6PtfzCzmals3RtPJn3XaxV5cEL0ebvwKY7V8BzAZ3jQ3mcoVinSPBSgghRJ1ma2VBt6YN6OjpQOPrxxg0qBuWlpbcLCgiNTOXlMxckq/kkpJ5k5Srf/95I7+QjOv5ZFzPJ+FcZpntWpipaORoowtajR1L93aVBDEnOys5zGiCJFgJIYQQ5bCxMqeFqz0tXO3LrFMUhWu5WlIyc0m5epPkq7l/fZ1LauZNUjNz0RYpnLuSy7kr5d+8187KHE+nkmklSg816oKXkw22VvIrujaS75oQQghxl1QqFY52VjjaWdGucf0y64uKFS5m5+n2cCVfzSVVF75ukp6dR05BEX+kX+eP9OvlvodzPau/QlfJHi6vWw41ute3likjaigJVkIIIYSBmZup8Khvg0d9G7qVsz5PW8T5a/qHFlNuCV5ZN7VcvlHA5RsFJKZcK3f77hpr3WFGT0dbvBr8vferYT21HGY0EglWQgghxH1mbWmuu2diebJuav86rFj+ocb8wuK/DjneJOZ0eds3013FeOuJ9e72VtwsrObm6jgJVkIIIUQNo7GxRNNIg18jTZl1xcUKl27k6+3hSr76d+hKy7pJnraYkxk3OJlxo5ytWzDn8I6/bhtkc8uff33tZIOD3Ny6yiRYCSGEELWImZkKVwdrXB2s6ezjVGZ9QWExF67d1IWulMxc3TleyVdzyczVkp13+2kkHKwtJHhVkQQrIYQQwoRYWZjh42yHj7NdmXVarZYNP27Fr+tDpN8o0B1OTM3M1X19NadAgtc9kGAlhBBC1CFqc2jhWo82jcsPPzn5hZy/ph+2zt8Svq5I8LotCVZCCCGE0LFTW9DS1Z6W5czfBSUz1Z8vZ09XVYNXo3LCl8am9gYvCVZCCCGEqDRbK4sKJ04FwwQve709XrUreEmwEkIIIYTBGCJ4Xc8r5FhaNsfuMni52VuSa+TpJCRYCSGEEOK+qf7gZUHvPgW41TfOXi0JVkIIIYSoMSoTvEqmkygnfF3N5frNfJxsjXeoUIKVEEIIIWoNWysLmrvY09ylbPDSarX8sHmrUW/nI3dwFEIIIYTJsDRyspFgJYQQQghhIBKshBBCCCEMRIKVEEIIIYSBSLASQgghhDAQCVZCCCGEEAYiwUoIIYQQwkAkWAkhhBBCGIgEKyGEEEIIA5FgJYQQQghhIBKshBBCCCEMRIKVEEIIIYSBSLASQgghhDAQCVZCCCGEEAZiYewC6hpFUQDIzs426Ha1Wi25ublkZ2djaWlp0G3XBKbeH5h+j6beH5h+j9Jf7WfqPVZnf6W/t0t/j1dEgtV9dv36dQA8PT2NXIkQQggh7tb169fRaDQVrlcpd4pewqCKi4u5cOEC9vb2qFQqg203OzsbT09PUlJScHBwMNh2awpT7w9Mv0dT7w9Mv0fpr/Yz9R6rsz9FUbh+/ToeHh6YmVV8JpXssbrPzMzMaNy4cbVt38HBwSR/WEqZen9g+j2aen9g+j1Kf7WfqfdYXf3dbk9VKTl5XQghhBDCQCRYCSGEEEIYiAQrE6FWq3n77bdRq9XGLqVamHp/YPo9mnp/YPo9Sn+1n6n3WBP6k5PXhRBCCCEMRPZYCSGEEEIYiAQrIYQQQggDkWAlhBBCCGEgEqyEEEIIIQxEglUtN3fuXLp06YK9vT0uLi4MHz6c48ePG7ssg/n0009p166dbrK3wMBAfvrpJ2OXVW3mzp2LSqVi6tSpxi7FYGbNmoVKpdJ7uLm5Gbssgzp//jxjxoyhQYMG2Nra0qFDBxISEoxdlsH4+PiU+R6qVComT55s7NIMorCwkH/96180adIEGxsbmjZtyrvvvktxcbGxSzOY69evM3XqVLy9vbGxsaFHjx7Ex8cbu6wq2717N0OHDsXDwwOVSsXGjRv11iuKwqxZs/Dw8MDGxoZevXpx5MiR+1KbBKtabteuXUyePJnY2Fiio6MpLCwkODiYnJwcY5dmEI0bN2bevHns37+f/fv38/DDD/PII4/ctx+Q+yk+Pp4vvviCdu3aGbsUg2vbti1paWm6x+HDh41dksFkZmbSs2dPLC0t+emnnzh69CgffPAB9evXN3ZpBhMfH6/3/YuOjgbgiSeeMHJlhjF//nw+++wzlixZwrFjx1iwYAHvv/8+ixcvNnZpBvPss88SHR3NqlWrOHz4MMHBwfTt25fz588bu7QqycnJoX379ixZsqTc9QsWLGDRokUsWbKE+Ph43Nzc6Nevn+5+vdVKESYlIyNDAZRdu3YZu5Rq4+joqHz55ZfGLsOgrl+/rrRo0UKJjo5WgoKClJdeesnYJRnM22+/rbRv397YZVSb1157TXnggQeMXcZ99dJLLynNmjVTiouLjV2KQQwePFiZMGGC3rIRI0YoY8aMMVJFhpWbm6uYm5srmzdv1lvevn175c033zRSVYYDKBs2bNA9Ly4uVtzc3JR58+bpluXl5SkajUb57LPPqr0e2WNlYrKysgBwcnIyciWGV1RUREREBDk5OQQGBhq7HIOaPHkygwcPpm/fvsYupVqcPHkSDw8PmjRpwpNPPsnp06eNXZLBbNq0ic6dO/PEE0/g4uJCQEAAS5cuNXZZ1aagoIDVq1czYcIEg95I3pgeeOABtm/fzokTJwA4dOgQe/bsYdCgQUauzDAKCwspKirC2tpab7mNjQ179uwxUlXV58yZM6SnpxMcHKxbplarCQoKYu/evdX+/nITZhOiKArh4eE88MAD+Pn5Gbscgzl8+DCBgYHk5eVRr149NmzYQJs2bYxdlsFERERw4MCBWn2+w+1069aNr7/+mpYtW3Lx4kX+/e9/06NHD44cOUKDBg2MXd49O336NJ9++inh4eG88cYb7Nu3jylTpqBWqxk7dqyxyzO4jRs3cu3aNcaPH2/sUgzmtddeIysri1atWmFubk5RURGzZ8/mqaeeMnZpBmFvb09gYCDvvfcerVu3xtXVlW+++Ya4uDhatGhh7PIMLj09HQBXV1e95a6urpw7d67a31+ClQl54YUX+P33303ufyC+vr4kJiZy7do11q9fz7hx49i1a5dJhKuUlBReeukloqKiyvxv0lQMHDhQ97W/vz+BgYE0a9aMlStXEh4ebsTKDKO4uJjOnTszZ84cAAICAjhy5AiffvqpSQarr776ioEDB+Lh4WHsUgxm3bp1rF69mrVr19K2bVsSExOZOnUqHh4ejBs3ztjlGcSqVauYMGECjRo1wtzcnI4dOxISEsKBAweMXVq1+eceVUVR7steVglWJuLFF19k06ZN7N69m8aNGxu7HIOysrKiefPmAHTu3Jn4+Hg+/vhjPv/8cyNXdu8SEhLIyMigU6dOumVFRUXs3r2bJUuWkJ+fj7m5uRErNDw7Ozv8/f05efKksUsxCHd39zIhv3Xr1qxfv95IFVWfc+fOsW3bNr7//ntjl2JQr7zyCq+//jpPPvkkUPIfgHPnzjF37lyTCVbNmjVj165d5OTkkJ2djbu7O6NGjaJJkybGLs3gSq86Tk9Px93dXbc8IyOjzF6s6iDnWNVyiqLwwgsv8P3337Njxw6T/CH5J0VRyM/PN3YZBtGnTx8OHz5MYmKi7tG5c2dGjx5NYmKiyYUqgPz8fI4dO6b3D15t1rNnzzJTnJw4cQJvb28jVVR9li9fjouLC4MHDzZ2KQaVm5uLmZn+r0Nzc3OTmm6hlJ2dHe7u7mRmZvLzzz/zyCOPGLskg2vSpAlubm66q1eh5NzAXbt20aNHj2p/f9ljVctNnjyZtWvX8sMPP2Bvb687tqzRaLCxsTFydffujTfeYODAgXh6enL9+nUiIiLYuXMnkZGRxi7NIOzt7cucD2dnZ0eDBg1M5jy56dOnM3ToULy8vMjIyODf//432dnZJrMn4OWXX6ZHjx7MmTOHkSNHsm/fPr744gu++OILY5dmUMXFxSxfvpxx48ZhYWFavzqGDh3K7Nmz8fLyom3bthw8eJBFixYxYcIEY5dmMD///DOKouDr68uff/7JK6+8gq+vL08//bSxS6uSGzdu8Oeff+qenzlzhsTERJycnPDy8mLq1KnMmTOHFi1a0KJFC+bMmYOtrS0hISHVX1y1X3coqhVQ7mP58uXGLs0gJkyYoHh7eytWVlZKw4YNlT59+ihRUVHGLqtamdp0C6NGjVLc3d0VS0tLxcPDQxkxYoRy5MgRY5dlUD/++KPi5+enqNVqpVWrVsoXX3xh7JIM7ueff1YA5fjx48YuxeCys7OVl156SfHy8lKsra2Vpk2bKm+++aaSn59v7NIMZt26dUrTpk0VKysrxc3NTZk8ebJy7do1Y5dVZb/88ku5v/vGjRunKErJlAtvv/224ubmpqjVauWhhx5SDh8+fF9qUymKolR/fBNCCCGEMH1yjpUQQgghhIFIsBJCCCGEMBAJVkIIIYQQBiLBSgghhBDCQCRYCSGEEEIYiAQrIYQQQggDkWAlhBBCCGEgEqyEEEIIIQxEgpUQosY6e/YsKpWKxMREY5ei88cff9C9e3esra3p0KHDXb++JvZ0r7766iuCg4N1z8ePH8/w4cMrHL9kyRKGDRt2HyoT4v6TYCWEqND48eNRqVTMmzdPb/nGjRtRqVRGqsq43n77bezs7Dh+/Djbt283djmsWLGC+vXrG+398/Pzeeutt5g5c2alXxMWFkZ8fDx79uypxsqEMA4JVkKI27K2tmb+/PlkZmYauxSDKSgoqPJrT506xQMPPIC3tzcNGjQwYFXGVVRURHFx8V2/bv369dSrV48HH3yw0q9Rq9WEhISwePHiu34/IWo6CVZCiNvq27cvbm5uzJ07t8Ixs2bNKnNY7KOPPsLHx0f3vPTw0Jw5c3B1daV+/fq88847FBYW8sorr+Dk5ETjxo1ZtmxZme3/8ccf9OjRA2tra9q2bcvOnTv11h89epRBgwZRr149XF1dCQ0N5fLly7r1vXr14oUXXiA8PBxnZ2f69etXbh/FxcW8++67NG7cGLVaTYcOHYiMjNStV6lUJCQk8O6776JSqZg1a1aF25k/fz7NmzdHrVbj5eXF7Nmzyx1b3h6nf+4RPHToEL1798be3h4HBwc6derE/v372blzJ08//TRZWVmoVCq9mgoKCnj11Vdp1KgRdnZ2dOvWTe9zK33fzZs306ZNG9RqNefOnWPnzp107doVOzs76tevT8+ePTl37ly5tQNERETc8bBeQkICLi4uep/BsGHD2LhxIzdv3rzta4WobSRYCSFuy9zcnDlz5rB48WJSU1PvaVs7duzgwoUL7N69m0WLFjFr1iyGDBmCo6MjcXFxPP/88zz//POkpKTove6VV15h2rRpHDx4kB49ejBs2DCuXLkCQFpaGkFBQXTo0IH9+/cTGRnJxYsXGTlypN42Vq5ciYWFBb/99huff/55ufV9/PHHfPDBByxcuJDff/+d/v37M2zYME6ePKl7r7Zt2zJt2jTS0tKYPn16uduZMWMG8+fPZ+bMmRw9epS1a9fi6upa5c9t9OjRNG7cmPj4eBISEnj99dextLSkR48efPTRRzg4OJCWlqZX09NPP81vv/1GREQEv//+O0888QQDBgzQ9QKQm5vL3Llz+fLLLzly5AhOTk4MHz6coKAgfv/9d2JiYpg4ceJtD/v++uuvdO7cucL1O3fupE+fPrzzzju8+eabuuWdO3dGq9Wyb9++Kn8uQtRIihBCVGDcuHHKI488oiiKonTv3l2ZMGGCoiiKsmHDBuXWfz7efvttpX379nqv/fDDDxVvb2+9bXl7eytFRUW6Zb6+vsqDDz6oe15YWKjY2dkp33zzjaIoinLmzBkFUObNm6cbo9VqlcaNGyvz589XFEVRZs6cqQQHB+u9d0pKigIox48fVxRFUYKCgpQOHTrcsV8PDw9l9uzZesu6dOmiTJo0Sfe8ffv2yttvv13hNrKzsxW1Wq0sXbq03PWlPR08eFBRFEVZvny5otFo9Mb88/O1t7dXVqxYUe72ynv9n3/+qahUKuX8+fN6y/v06aPMmDFD9zpASUxM1K2/cuWKAig7d+6ssL9bZWZmKoCye/duveWlf282btyo2NvbK2vXri339Y6OjhX2JURtZWG8SCeEqE3mz5/Pww8/zLRp06q8jbZt22Jm9veOcldXV/z8/HTPzc3NadCgARkZGXqvCwwM1H1tYWFB586dOXbsGFBymOmXX36hXr16Zd7v1KlTtGzZEuC2e1UAsrOzuXDhAj179tRb3rNnTw4dOlTJDuHYsWPk5+fTp0+fSr/mTsLDw3n22WdZtWoVffv25YknnqBZs2YVjj9w4ACKouh6L5Wfn693XpiVlRXt2rXTPXdycmL8+PH079+ffv360bdvX0aOHIm7u3u571N6GM/a2rrMuri4ODZv3sx3333Ho48+Wu7rbWxsyM3NrbhxIWohORQohKiUhx56iP79+/PGG2+UWWdmZoaiKHrLtFptmXGWlpZ6z1UqVbnLKnMSdenhqeLiYoYOHUpiYqLe4+TJkzz00EO68XZ2dnfc5q3bLaUoyl1dAWljY1PpsVC5z27WrFkcOXKEwYMHs2PHDtq0acOGDRsq3GZxcTHm5uYkJCTofSbHjh3j448/1qv1n70tX76cmJgYevTowbp162jZsiWxsbHlvk+DBg1QqVTlXtjQrFkzWrVqxbJlyyq8WODq1as0bNiwwj6EqI0kWAkhKm3evHn8+OOP7N27V295w4YNSU9P1wsIhpyn6dZf7IWFhSQkJNCqVSsAOnbsyJEjR/Dx8aF58+Z6j8qGKQAHBwc8PDzKTAGwd+9eWrduXenttGjRAhsbm0pPxdCwYUOuX79OTk6Obll5n13Lli15+eWXiYqKYsSIESxfvhwo2etUVFSkNzYgIICioiIyMjLKfCZubm53rCkgIIAZM2awd+9e/Pz8WLt2bbnjrKysaNOmDUePHi2zztnZmR07dnDq1ClGjRpVJiyeOnWKvLw8AgIC7liPELWJBCshRKX5+/szevToMpfJ9+rVi0uXLrFgwQJOnTrFJ598wk8//WSw9/3kk0/YsGEDf/zxB5MnTyYzM5MJEyYAMHnyZK5evcpTTz3Fvn37OH36NFFRUUyYMKFM4LiTV155hfnz57Nu3TqOHz/O66+/TmJiIi+99FKlt2Ftbc1rr73Gq6++ytdff82pU6eIjY3lq6++Knd8t27dsLW15Y033uDPP/9k7dq1rFixQrf+5s2bvPDCC+zcuZNz587x22+/ER8frwt7Pj4+3Lhxg+3bt3P58mVyc3Np2bIlo0ePZuzYsXz//fecOXOG+Ph45s+fz9atWyus/cyZM8yYMYOYmBjOnTtHVFQUJ06cuG2w7N+/f4XzUbm4uLBjxw7++OMPnnrqKQoLC3Xrfv31V5o2bXrbQ5pC1EYSrIQQd+W9994rc+iqdevW/Pe//+WTTz6hffv27Nu3r8Ir5qpi3rx5zJ8/n/bt2/Prr7/yww8/4OzsDICHhwe//fYbRUVF9O/fHz8/P1566SU0Go3e+VyVMWXKFKZNm8a0adPw9/cnMjKSTZs20aJFi7vazsyZM5k2bRpvvfUWrVu3ZtSoUWXOGyvl5OTE6tWr2bp1K/7+/nzzzTd60ziYm5tz5coVxo4dS8uWLRk5ciQDBw7knXfeAaBHjx48//zzjBo1ioYNG7JgwQKg5JDe2LFjmTZtGr6+vgwbNoy4uDj+v307tm0QigIo+tK6oaWhZRGPgOSGGmjYhC1ovAElS+DCYgB6Jkg6F5GJEuUnUqJzWvSlJwp09dAviuJw7tPpFPf7PaqqirIso23b6Ps+uq47PNM0TUzTFPu+P32e53nM8xzLskRd14/YvV6v0TTNh+8R/qKX1/dfSAD4gsvl8vh9+Bm32y3O53Os6xpZlv3wdPC7bKwA+JZhGJ7eyjyybVuM4yiq+JdsrAAAErGxAgBIRFgBACQirAAAEhFWAACJCCsAgESEFQBAIsIKACARYQUAkIiwAgBI5A2WtJGigIvGagAAAABJRU5ErkJggg==",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"distortions = []\n",
"for i in range(2, 11):\n",
" kmeans = KMeans(n_clusters=i, random_state=42, n_init=10)\n",
" kmeans.fit(df)\n",
" distortions.append(kmeans.inertia_)\n",
" \n",
"plt.plot(range(2, 11), distortions)\n",
"plt.xlabel('Number of clusters (k)')\n",
"plt.ylabel('Distortion')\n",
"plt.title('Elbow Method for Optimal k')\n",
"plt.grid()\n",
"plt.arrow(7.2, 85000, -0.9, -20000, head_width=0.2, head_length=4000, fc='r', ec='r')\n",
"plt.text(7.2, 85000, \"This is an Elbow!\", ha=\"right\", bbox=dict(boxstyle=\"square\", ec=(1., 0.5, 0.5), fc=(1., 0.8, 0.8)))\n",
"plt.savefig(\"assets/Q7_elbow.png\")"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Silhoutte Score"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {},
"outputs": [],
"source": [
"def find_optimal_k(X, begin_k, end_k, score_func, max=1):\n",
" scores = []\n",
"\n",
" for k in range(begin_k, end_k + 1):\n",
" kmeans = KMeans(n_clusters=k, random_state=42, n_init=10)\n",
" kmeans.fit(X)\n",
"\n",
" score = score_func(X, kmeans.labels_)\n",
" scores.append(score)\n",
"\n",
" optimal_k = np.argmax(max * np.array(scores)) + begin_k\n",
" return optimal_k"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"The optimal number of clusters (k) is: 6\n"
]
}
],
"source": [
"optimal_k = find_optimal_k(df, 2, 10, silhouette_score, max=1)\n",
"print(f\"The optimal number of clusters (k) is: {optimal_k}\")"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Davies-Bouldin Index"
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"The optimal number of clusters (k) is: 6\n"
]
}
],
"source": [
"optimal_k = find_optimal_k(df, 2, 10, davies_bouldin_score, max=-1)\n",
"print(f\"The optimal number of clusters (k) is: {optimal_k}\")"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Calinski- Harabasz Index"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"The optimal number of clusters (k) is: 6\n"
]
}
],
"source": [
"optimal_k = find_optimal_k(df, 2, 10, calinski_harabasz_score, max=1)\n",
"print(f\"The optimal number of clusters (k) is: {optimal_k}\")"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Visualizing"
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {},
"outputs": [],
"source": [
"kmeans = KMeans(n_clusters=6, random_state=42, n_init=10)\n",
"kmeans.fit(df)\n",
"labels = kmeans.labels_"
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {},
"outputs": [],
"source": [
"def plot_clusters(X, labels, title):\n",
" classes = np.unique(labels)\n",
" for i, c in zip(range(len(classes)), classes):\n",
" plt.scatter(X[labels==c, 0], X[labels==c, 1], label=f'class {i}')\n",
" plt.xlabel('Component 1')\n",
" plt.ylabel('Component 2')\n",
" plt.title(title)\n",
" plt.grid()\n",
" plt.legend()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### PCA"
]
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"pca = PCA(n_components=2)\n",
"X_pca = pca.fit_transform(df)\n",
"plot_clusters(X_pca, labels, 'Plot Clusters using PCA')\n",
"plt.savefig('assets/Q7_PCA.png')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### TSNE"
]
},
{
"cell_type": "code",
"execution_count": 12,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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sKsenrKwMbdu2xfjx4zFs2DCV1z/++GOsWrUKmzdvRmRkJJYuXYo+ffrg6tWrOpOduJBIJKiurjbY9SxFTU0NHB0dUVlZCbFYbO7uqHBycoKDg4O5u0EIIcSKWVXg079/f/Tv31/tawzDYM2aNViwYAGGDh0KANiyZQuEQiG2bduGKVOmGKQP1dXVyMvLg0QiMcj1LAnDMAgMDMSdO3csdg8jHx8fBAYGWmz/CCGEWDarCny0ycvLQ2FhIRISEuTHBAIBXnrpJWRmZhok8GEYBgUFBXBwcEBISIjWDZKskUQiwbNnz+Dh4WFx741hGJSXl6O4uBgAEBQUZOYeEUIIsUY2E/gUFhYCAIRCocJxoVCI27dvazyvqqoKVVVV8q9FIhEA6bRPTU2NQtva2lqUlZUhODgYLi4uhuq6xWAYBtXV1RAIBBY5oiIQCCCRSPDgwQP4+vqaddpL9tlQ/owQ9eh5sUfPiht6XuzZ+rNi+75sJvCRUf6BzTCM1h/iK1aswJIlS1SOZ2RkwM3NTeGYo6MjAgMDUV1dLQ+QbNHTp0/N3QWNJBIJKioqcOjQIdTW1pq7Ozhw4IC5u2BV6HmxR8+KG3pe7NnqsyovL2fVzmYCn8DAQADSkZ+60yDFxcUqo0B1JScnIykpSf61bOfHhIQElQ0MKysrcefOHXh4eNjsiM/Tp08tuk5ZZWUlXF1d0atXL7P+N6ipqcGBAwfQp08fm94IzFDoebFHz4obel7s2fqzYjsgYTOBT1hYGAIDA3HgwAHExMQAkCYiHzt2DKmpqRrPEwgEEAgEKsednJxUPhhisRg8Hg98Pt/icmAMQZawLXuPlojP54PH46n972MOltIPa0HPiz16Vtxoe15iCYMzeY9Q/LQSDT1d0CnMDw58y/zlzhRs9bPF9j1ZVeDz7Nkz3LhxQ/51Xl4esrOz4efnhyZNmmD69OlYvnw5IiIiEBERgeXLl8PNzQ1vvPGGGXtt2W7duoWwsDBcuHABbdq0MXd3CCHEoPZdLsCSX/5CQWml/FiQtwsWD4pCv2haJGGPLPPXeg3Onj2LmJgY+YhOUlISYmJisGjRIgDAnDlzMH36dEydOhUdO3bEvXv3kJGRYdA9fIhhVVVV4b333oO/vz/c3d0xePBg3L1719zdIoTYgH2XC/DON+cVgh4AKCytxDvfnMe+ywVm6hkxJ6sKfHr37g2GYVT+bN68GYB0iiYlJQUFBQWorKzEsWPHEB0dbd5OqyGWMDh5swQ/Zd/DyZslEEsYc3fJbKZPn47du3djx44dOHHiBJ49e4aBAwda5AaKhBDrIZYwWPLLX1D33VV2bMkvf9n19197ZVWBjy3Yd7kAPVIPY9TGU/j3jmyM2ngKPVIPG/U3D4lEgtTUVDRv3hwCgQBNmjTBsmXL1LYVi8WYOHEiwsLC4OrqihYtWiAtLU2hzdGjR9GpUye4u7vDx8cH3bt3l28ZcPHiRcTGxsLT0xNeXl7o0KEDzp49q/ZepaWl+Oqrr/DZZ58hPj4eMTEx+Oabb/Dnn3/i4MGDhn0IhBC7cibvkcpIT10MgILSSpzJe2S6ThGLYFU5PtZONuyq/PuFbNj1i3+1N8qcc3JyMjZu3IjVq1ejR48eKCgoQG5urtq2EokEjRs3xq5du+Dv74/MzExMnjwZQUFBSExMRG1tLYYMGYJJkyZh+/btqK6uxpkzZ+SrwEaPHo2YmBh88cUXcHBwQHZ2tsaEs3PnzqGmpkZh08ng4GBER0cjMzMTffv2NfizIITYh+KnmoMefdoR20GBj4noGnblQTrs2icq0KCrDZ4+fYq0tDSsXbsWY8eOBQCEh4ejR48eats7OTkhJSVFvqorLCwMmZmZ2LVrFxITEyESiVBaWoqBAwciPDwcANCqVSv5+fn5+Zg9ezZatmwJAIiIiNDYt8LCQjg7O8PX11fhuFAolG9ISQgh+mjoyW67i4dPqyCWMHa9ysve0FSXiZhr2DUnJwdVVVWIi4tjfc769evRsWNHBAQEwMPDAxs3bkR+fj4AwM/PD+PGjUPfvn0xaNAgpKWloaDgn2m6pKQkTJw4EfHx8Vi5ciVu3rzJuc+6Np0khBBdOoX5IcjbBbq+k3z0W47R0w2IZaHAx0TMNezq6urKqf3u3bsxc+ZMvPXWW8jIyEB2djbGjx+vUI0+PT0dJ0+eRLdu3bBz505ERkbi1KlTAICUlBRcuXIFAwYMwOHDhxEVFYXdu3ervZdsF+zHjx8rHNe16SQhxP5wXRTiwOdh8aAoANAZ/NAqL/tCgY+JsB12ZduOrYiICLi6uuLQoUOs2ssCmqlTpyImJgbNmzdXO2oTExOD5ORkZGZmIjo6Gtu2bZO/FhkZiRkzZiAjIwNDhw5Fenq62nt16NABTk5OCtunFxQU4PLly+jWrRvHd0oIsVVsFoWculmCT/fn4tP9V/HHjYcQSxj0iw7CF/9qj0Bv7d9XaZWXfaEcHxORDbsWllaqzfPhAQj0lu4oakguLi6YO3cu5syZA2dnZ3Tv3h0PHjzAlStXMGHCBJX2zZo1w86dO7F//36EhYVh69atyMrKQlhYGADpppEbNmzA4MGDERwcjKtXr+LatWsYM2YMKioqMHv2bAwfPhxhYWG4e/cusrKyMGzYMLV98/b2xoQJEzBz5kw0aNAAfn5+mDVrFlq3bo34+HiDPgdCiHXStSjk7Z5N0BLAxK1nUSWWju2sPXIDPm5OWDm0NfpFB6FPVCA2/5GHj37L0XifuukGXcMbGO39EPOjwMdEZMOu73xzHjxA4R+xbBh28aAooyTYLVy4EI6Ojli0aBHu37+PoKAgvP3222rbjh8/Hrm5uRg5ciR4PB5GjRqFqVOnYu/evQAANzc35ObmYsuWLSgpKUFQUBCmTZuGKVOmoLa2FiUlJRgzZgyKiorg7++PoUOHqi0CK7N69Wo4OjoiMTERFRUViIuLw+bNm81aeZ0QYhnY7MWzKfM2Pu6k+vqT8hq8/c15rH++WtbfU7U0kTq0ysv2UeBjQrJhV+Xt0wONvH06n8/HggULsGDBApXXQkNDwTDSbyESiQQCgQCbNm2Sbwops2LFCgDSFVeacnacnZ2xfft2Tn1zcXHBf//7X/z3v//ldB4hxPbpWhTChmy1rLnSDYjlocDHxGTDrlQwjxBCtDPE6Its+sqQ6QZU9NS6UeBjBg58Hs0hE0KIDoYafSl+WmmwdAMqemr9aFUXIYQQiyJbul4oqoSfu/qd37mQBVCaVnkFeruw2jmfip7aBhrxIYQQYjHUjajUR5DS9JW+6QZsd9/3FDjhYVkVTYFZMAp8CCGEWARNS9frQ930lT7pBmx33x/91Wn5MZoCs0w01UUIIcTstI2oANIRlQbuzpjauxmr63kIHOVL2TXdj8tO0PokWtMUmGWiER9CCCFmx2ZEpaSsGt2bB2D3hfsaV2cBgJ+7E04lx8PZUf3v9vokKOuTaG3MAtREfzTiQwghxOzYjqg8fFalsQYX7/mf5a+11hr06JOgzLboqTJjFaAm+qPAhxBCiNlx2WBQ39VZbHaC1lSvy4HPw+C2QXrnH9GO0JaDAh87d+vWLfB4PGRnZ5u7K4QQO6ZrRIUHxRVa/aKDcGLuy9g09kUAwKaxL+LE3Je1JhKzTVBWNzqz73IBNvyex/btqKAdoS0HBT7ErDZs2IDevXvDy8sLPB4PT548MXeXiKWRiIG848Cf30n/lojN3SNiBLINBgH1U1iA6gotBz5PHgixWTrOdtRFuZ2uxGttlAM2Yn4U+JgDfSOXKy8vR79+/TB//nxzd4VYoss/Ap9GAFsGAt9PkP69Jhr462dz94wYQX03GNRF33pd+tYMM3YBaqIfCnxM7a+fpd+4TfiNXCKRIDU1Fc2bN4dAIECTJk2wbNkytW3FYjEmTpyIsLAwuLq6okWLFkhLS1Noc/ToUXTq1Anu7u7w8fFB9+7dcfv2bQDAxYsXERsbC09PT3h5eaFDhw44e/asxr5Nnz4d8+bNQ5cuXQz3honl4hL0ZywEvhsLlJcoHhfdB3aNoeDHRsmmsLZP6oK019th+6QuOqew2OI6nSbDdqRI+bqB3i74/I328HZ1Zr1snhgfLWc3pb9+ln7DVh4wFRVIjyd+DUQNNvhtk5OTsXHjRqxevRo9evRAQUEBcnNz1baVSCRo3Lgxdu3aBX9/f2RmZmLy5MkICgpCYmIiamtrMWTIEEyaNAnbt29HdXU1zpw5Ax5P+k9+9OjRiImJwRdffAEHBwdkZ2fDyan+W84TKyURA7czAVERACdgXRegtE6ehFcw0C9V9XN/5Ucg8z9aLswAv84AIvsBjs5G6DgxJ2PVM9S3XhfbkSLZ9d7qHoo+UYF4XFaFj36jul6WhgIfU5GIgX1zoRL0AJDv9rBvHtByAMB3MNhtnz59irS0NKxduxZjx44FAISHh6NHjx5q2zs5OSElJQV8vnQwMCwsDJmZmdi1axcSExMhEolQWlqKgQMHIjw8HADQqlUr+fn5+fmYPXs2WrZsCQCIiIgw2HshVuavn6WfedF9gO8CtN0APFVaKqwu6JeIgd9m6r5++UNgVStg4Gqj/MJAbJNsOk15H59ALQGJrsrudfEA7L1ciI5NffHutgsq7WXL5g0xdUf0Q1NdpnI7U/oDQCMGEN2TtjOgnJwcVFVVIS4ujvU569evR8eOHREQEAAPDw9s3LgR+fn5AAA/Pz+MGzcOffv2xaBBg5CWloaCgn9+mCUlJWHixImIj4/HypUrcfPmTYO+H2IlZKObWj/zgPwXgX3z/pn2up0pDWrYKH9I016EM67TaXUTr3WRrQz74KfLei2bJ8ZHgY+pPCsybDuWXF1dObXfvXs3Zs6cibfeegsZGRnIzs7G+PHjUV1dLW+Tnp6OkydPolu3bti5cyciIyNx6tQpAEBKSgquXLmCAQMG4PDhw4iKisLu3bsN+p6IGbHJ0dE6uqmOUtCvz7+BuoETISzIptNebdcIXcMb6Ew+lo0U+biym7p/VFaj8TXa1NC8aKrLVDyEhm3HUkREBFxdXXHo0CFMnDhRZ3tZQDN16lT5MXWjNjExMYiJiUFycjK6du2Kbdu2yROUIyMjERkZiRkzZmDUqFFIT0/Ha6+9Zrg3RQxLlofzrEj6+WvaTf10a92pKxnPIKDDeKBB+D/n6hzd1EAW8HD+N1AncArryf2+hLAgljDwdnXGG52bYN1Rw4xk06aG5kGBj6k07SZN5BQVQP1vwjzp6027GfS2Li4umDt3LubMmQNnZ2d0794dDx48wJUrVzBhwgSV9s2aNcPOnTuxf/9+hIWFYevWrcjKykJYWBgAIC8vDxs2bMDgwYMRHByMq1ev4tq1axgzZgwqKiowe/ZsDB8+HGFhYbh79y6ysrIwbNgwjf0rLCxEYWEhbty4AQD4888/4enpiSZNmsDPj/a9MDp1wYxbA+CVVUD0EMV26hLznxYAR5f/87VXMBA1BHqRBTzyfyscgycDj5YSIqOutpcmPAB+7s4oKavW2ZY2NTQPmuoyFb6DdPUKAI3bc/VbadDEZpmFCxdi5syZWLRoEVq1aoWRI0eiuLhYbdvx48fjtddew8iRI9G5c2eUlJQojP64ubkhNzcXw4YNQ2RkJCZPnoxp06ZhypQpcHBwQElJCcaMGYPIyEgkJiaif//+WLJkica+rV+/HjExMZg0aRIAoFevXoiJicHPP1POhtFpysMpL5EuI89YKP2ay9SVqAA4tY5jR3iAV6N/gn75vxWO+54YeLSUEEBzbS91ZJ/Yj16N1mvZPDENGvExpajB0tUryr9hewVLgx4jrUzh8/lYsGABFixYoPJaaGgoGEb6A00ikUAgEGDTpk3YvHmzQrsVK1YAAIRCocacHWdnZ2zfvp1T31JSUpCSksLpHGIAbIKZzP8AjTpIR4BYj748vx6PDzCM9utLG0r/Ug76Nf1b0XQNI4yWEsJ1x+a6K8P4fHBeNk9MgwIfU4saLF2yzianghBjYZuH89tMoN8K7tdnJM//j/K3fSW6gn5Gz8CJEANgu2PztNhwdG8eoFA2Q59l88Q0KPAxB74DJWES82KbD1P+ECh7oN89ukwF/vpRMcDyCALaj1JMhtaUSK0up0iZkUdLiW0QSxicyXuE4qeVaOjpwqquF8A++ThC6Kl2w8V+0UHoExWo172J8VDgQ4g94pIP4x6gIzFfgxavAAlL/9m5+RaAd08BAh0JnWym4Vz9gOHp0l8gaKSHaKEuMVnd7snqgiN9a3vVZaxdqIn+KPAhxB417SbN3VGug6WOZ5A02XjXGOicugKgkHMjG92sqQFu7WEXpLCZhqt4JL0WBT1EC1lisq7dkzUFRwv6t4Kfu5PGPXl4kE5dUZKydaFVXYTYI76DdMm6LrLVVrJkYy9deQkGyLkx02afxLZoS0yuu3vynkv31a7aKiitxLQdF7QGPQAlKVsjGvEhxF5FDwHuv6+lGChPMYBRTswvuQmc32z4FYpm2uyTWDaueTq6EpN1lZbQhZKUrRcFPoTYs4SPpEvWf5upWB/Lq5H6AEY5Mb/XLMOvUDTTZp/EcmnL04lr4a/2HLaJydpKS2jSwN0Zx2bHwtmRJk2sEQU+hNi7F4YArQbpF8CwXaEoq6P110+Al47ryzYwVJtTRMvX7Y2uPJ11b7RVe54xd0UuKavGuduPKWnZSlG4Sgj5J4BpPZz9Sik2BUsB6dL0ddI6bvjpXWDLQGBNtPaK6ppyiryCpcdp+bpZVddK8NXxv7Hop8v46vjfqK6V6D5JD2zydFbuzVV77mMWJSMauDvr3Teqs2W9aMTHzt26dQthYWG4cOEC2rRpY+7uEGuhrsaXV7B0pKZuUCLbj4cvUDxfVCA9ri2Ioc0+LdKKPX9h4/E8SOpEI8v25GBSzzAkvxJl0HuxydMpFKm+LpYw+Oi3v3Ref8mgF7Bsbw4KSys55/lQnS3rRSM+xGwePXqE9957Dy1atICbmxuaNGmC999/H6WlpebuGtFGU40vWTAjG8nRuh/P82P75mkeKQL0G4kiRrNiz1/48nfFoAcAJAzw5e95WLFHd7DBhb6jKmx3XG7gKcDiQdJgje26LG11tsQSBidvluCn7Hs4ebMEYuUHRSwCjfiYgVgixvni83hQ/gABbgFo37A9HOzwG/r9+/dx//59fPrpp4iKisLt27fx9ttv4/79+/juu+/M3T2ijs5ghicNZiL7AVkbdezHwwCie9IRHdrJ3OJV10qw8Xie1jYbj+dhZkJLgyX96juqwjZgKn5aiVfbNVJbWkIdbUvY2W6USMyPRnxM7ODtg+j7fV+8tf8tzD0+F2/tfwt9v++Lg7cPGu2eEokEqampaN68OQQCAZo0aYJly5apbSsWizFx4kSEhYXB1dUVLVq0QFpamkKbo0ePolOnTnB3d4ePjw+6d++O27dvAwAuXryI2NhYeHp6wsvLCx06dMDZs2fV3is6Ohrff/89Bg0ahPDwcLz88stYtmwZfvnlF9TW1hr2IRDD0Lm54PNgZlVLYP98dtek/XiswtaTt1RGepRJGOCjX68YbMSjU5ifzirngV6qwRHXHZf7RQfhxNyXsX1SF6S93g7bJ3XBujfaI8hb8TqB3i7yTQ/r0lTBXZaAve9yAav+ENOgER8TOnj7IJKOJoFR+m25uLwYSUeTsKr3KsQ3jTf4fZOTk7Fx40asXr0aPXr0QEFBAXJz1ScESiQSNG7cGLt27YK/vz8yMzMxefJkBAUFITExEbW1tRgyZAgmTZqE7du3o7q6GmfOnAGPJ/3WNHr0aMTExOCLL76Ag4MDsrOz4eTkxLqvpaWl8PLygqMjfTQtEusaXyx2hJah/Xiswu1H5azabT2Vj62n8gHUf8TDgc/D4kFRWqucz+vfEtV55xTOkwVMmnJ31O24rK60RN9o3XW2dCVg8yDdKLFPVCBtdGgh6KeLiYglYqw8s1Il6AEABgx44CH1TCpiQ2INOu319OlTpKWlYe3atRg7diwAIDw8HD169FDb3snJCSkpKeDzpYOBYWFhyMzMxK5du5CYmAiRSITS0lIMHDgQ4eHhAIBWrVrJz8/Pz8fs2bPRsmVLAEBERATrvpaUlOCjjz7ClClT9HqvRA8SMbfkYYMGKbQfjzVp6ufG+Rzl0hD60FXlPK6FP/YozcCxCZjY7LjMps4W240Sz+Q9ouXvFoICHxM5X3weReWaf1tmwKCwvBDni8/jxcAXDXbfnJwcVFVVIS4ujvU569evx6ZNm3D79m1UVFSguroa7dq1AwD4+flh3Lhx6Nu3L/r06YP4+HgkJiYiKEj6TS0pKQkTJ07E1q1bER8fjxEjRsgDJG1EIhEGDBiAqKgoLF68WK/3SjhiuzKrLp2bC7JF+/FYAkYsRvnZc6h98ACOAQFw69gBPAf1/z3e7BqKZXtydE53KVwfhhnx0FblvKZG/QaEugImQ+XdcMknIpaBcnxM5EH5A4O2Y8vV1ZVT+927d2PmzJl46623kJGRgezsbIwfPx7V1f/siZGeno6TJ0+iW7du2LlzJyIjI3Hq1CkAQEpKCq5cuYIBAwbg8OHDiIqKwu7du7Xe8+nTp+jXrx88PDywe/duTlNjRE+6VmZd+VH9Hj2yzQUBsF8Howbtx2N2oowM3IiLR/7Ysbg/axbyx47Fjbh4iDIy1LZ3duRjUs8wzvepO+JRF9cVULLRl1fbNULX8Aasgih1uTsn5r5s0GRjQ1RwJ6ZFIz4mEuAWYNB2bEVERMDV1RWHDh3CxIkTdbaXBTRTp06VH7t586ZKu5iYGMTExCA5ORldu3bFtm3b0KWLdJO6yMhIREZGYsaMGRg1ahTS09Px2muvqb2fSCRC3759IRAI8PPPP8PFhb45GB2bZebfjQeYOpvS1R0Jkm0uqDxaxJbAC0hYTkGPGYkyMnDv39MBRvEzUFtUJD2etgZeCQkq58n26VHex4eNuiMeplwBxWa6ii119cL0ySci5kWBj4m0b9geQjchisuL1eb58MCD0E2I9g3bG/S+Li4umDt3LubMmQNnZ2d0794dDx48wJUrVzBhwgSV9s2aNcPOnTuxf/9+hIWFYevWrcjKykJYmPQ3vby8PGzYsAGDBw9GcHAwrl69imvXrmHMmDGoqKjA7NmzMXz4cISFheHu3bvIysrCsGHD1Pbt6dOnSEhIQHl5Ob755huIRCKIRCIAQEBAABw0DLmTetK5MguKQQ+guuFg1GBpm2/Hcr9/1VPgu3EAX82ID9ecI8IZIxajaPkKlaBH+iID8HgoWr4CnnFxaqe9kl+JwsyElth68hZuPyoHwzDyZGZtZCMeukpQ1CcfyJi0BWuGyCcipkOBj4k48B0wr9M8JB1NAg88heCH9/yfx9xOc42yn8/ChQvh6OiIRYsW4f79+wgKCsLbb7+ttu348eORm5uLkSNHgsfjYdSoUZg6dSr27t0LAHBzc0Nubi62bNmCkpISBAUFYdq0aZgyZQpqa2tRUlKCMWPGoKioCP7+/hg6dCiWLFmi9l7nzp3D6dOnAQDNmzdXeC0vLw+hoaGGewhESiIG8o7pcWKdPXpaDpAe2p+sZyeUriX7zOuTc0Q4Kz97DrWFhZobMAxqCwtRfvYc3Dt3UtvE2ZGPCT2bAZCOghzMKWY14mGtK6DYBGumyCcihkGBjwnFN43Hqt6rsPLMSoVEZ6GbEHM7zTXKUnYA4PP5WLBgARYsWKDyWmhoKJjnv/lJJBIIBAJs2rQJmzdvVmi3YsUKaV+FQo05O87Ozti+fTvrfvXu3Vt+b2IC6gILTupsOAjU4zpK1wrr+U/OkfKPFjalLQgntQ/Y5RGybcdlBdXJmyVWtwKKbbB2Yu7LGhOwiWWhwMfE4pvGIzYklnZuJqalKbDQhyE3HHxWxH436LqjQ0RvjgHs8gjZtgPYr6CyxhVQXJerW0rARjSjwMcMHPgOBl2yTohWWgMLPRhyLx8PIfvdoKm0hUG4dewAx8BA1BYVqc/z4fHgKBTCrWMHTtfVtuRcxhpXQFljsEa0o+XshNg6NsnMMjxt3xJ4gFcjacKxbD8fbcUE2F6L7QgSlbYwCJ6DA4Tzn+dn8ZT++z3/Wjg/WeN+PtroWnLOpgSFpgKg5mKNwRrRjgIfQmwd24Ch52xgWDqkP36UfzQpbTiocz8fBogaouF1pWuxHUGi0hYG45WQgEZpa+AoVHymjkIhGmlYym4IsnwgQOOnwuJWQFlSsEbV3w2DproIsXVsA4ZmL0mnkvhq9ujxCpYGKnUTjHXt53PlB8DVDwADVFVovpbO3aCptIUxeCUkwDMujvXOzYZiqh2VDcVQ5S/qi6q/Gw4FPoTYOq6BRdRgaSIxm/10ZG1//xQ4ulz19YrH0r9fWgCIALzxLdCsu+K1ZKNHu8ZI+6LuRwuVtjAKnoODxiXrhqBuwz8HPo9VPpAlMXewZq17H1kqCnwIsXX6BBZ8B26JxOc3a3jh+aqs7G1AsxSgaVfNAZS60SN1I03EKugaoTDkjsqmYK5gzVr3PrJkFPgQYg+MGViwWZX1lEVyNZeRJmLRbHWEwhzBGlV/NzwKfAixF8YKLAy52orrSBMxGU3TVuraaRuhAIB5P/wJT4ETurAsNmrPaDm94VHgY+du3bqFsLAwXLhwAW3atDF3d4ixGSOw4LLaKncP0PpVw96fGB2XxFpdIxQA8KS8BqO/Oq1wDbaBlb2h5fSGR4EPMaspU6bg4MGDuH//Pjw8PNCtWzekpqaiZcuW5u6a/eJaKFRn8nQdu6cADjzK2bEiXKetuIw8yK4xuVcYfr5YQCuW1KDq74ZH+/iYASMWo+z0GZT++hvKTp8BIxabu0tm06FDB6SnpyMnJwf79+8HwzBISEiA2I6fiVn99TOwJhrYMhD4foL07zXR0uOa6NzTR8m+edLgilg8NtNWS375S2E/GS4jD8zzP1/+nqcySiQLivZdLuDcb1Mz5v461rj3kaWjwMfERBkZuBEXj/yxY3F/1izkjx2LG3HxEGVkGO2eEokEqampaN68OQQCAZo0aYJly5apbSsWizFx4kSEhYXB1dUVLVq0QFpamkKbo0ePolOnTnB3d4ePjw+6d++O27dvAwAuXryI2NhYeHp6wsvLCx06dMDZs2c19m3y5Mno1asXQkND0b59eyxduhR37tzBrVu3DPb+CUuyel7KicqyQqHagh9Z8rSbruRKpUKn5iQRA3nHgT+/k/5NwZgKLom1Mro2/GNLU2BlafZdLkCP1MMYtfEU/r0jG6M2nkKP1MMGDdhky+kDvRWDykBvF6tNFDcnmuoyIVFGBu79e7pKfZzaoiLpcSPtmJqcnIyNGzdi9erV6NGjBwoKCpCbm6u2rUQiQePGjbFr1y74+/sjMzMTkydPRlBQEBITE1FbW4shQ4Zg0qRJ2L59O6qrq3HmzBnwnm91P3r0aMTExOCLL76Ag4MDsrOz4eTkxKqfZWVlSE9PR1hYGEJCQgz2/okWsmmtpwXSkZj6FAqNGgzUVgI/TNJ935znQZS5Vm2pq1TvFSwduaJpODl9Emu1bfjHlalXLHHNMzLl6jVr2/vIklHgYyKMWIyi5SvUFwVkGIDHQ9HyFfCMizPozqlPnz5FWloa1q5di7FjxwIAwsPD0aNHD7XtnZyckJKSAj5fOhgYFhaGzMxM7Nq1C4mJiRCJRCgtLcXAgQMRHh4OAGjVqpX8/Pz8fMyePVueoxMREaGzj+vWrcOcOXNQVlaGli1b4sCBA3B2dq7X+yYsqPvhrxHLQqGeLL/Jn9kg/WOOYENTpXrZyFbvZKBBOC2nh/6JtZo2/NOXKVYsaUrgXjggCr7uzirBhjn217G2vY8sFQU+JlJ+9hxqCws1N2AY1BYWovzsOYPupJqTk4OqqirExcWxPmf9+vXYtGkTbt++jYqKClRXV6Ndu3YAAD8/P4wbNw59+/ZFnz59EB8fj8TERAQFSX/gJSUlYeLEidi6dSvi4+MxYsQIeYCkyejRo9GnTx8UFBTg008/RWJiIv744w+4uNAqBaPR9MNfF11L17kkOgP/BBuJX5sm+NFaqf75sbo7UNv5KFB9EmtlIxSn/i7Bu/87jycVNXr3w9grljSN3BSUVmLqtvMKx2RJ196uzrS/jpWiHB8TqX3wwKDt2HJ1deXUfvfu3Zg5cybeeustZGRkIDs7G+PHj0d1dbW8TXp6Ok6ePIlu3bph586diIyMxKlTpwAAKSkpuHLlCgYMGIDDhw8jKioKu3fv1npPb29vREREoFevXvjuu++Qm5ur8xxSD1p/+Ouga+k610RnWR9MlfDMpVI9wC6/yYbVN7HWgc9D9+b+GPliY73ub4oCoNpGbtSRTWMd+EvLL7J10P46locCHxNxDAgwaDu2IiIi4OrqikOHDrFqLwtopk6dipiYGDRv3hw3b95UaRcTE4Pk5GRkZmYiOjoa27Ztk78WGRmJGTNmICMjA0OHDkV6ejqnPjMMg6qqKk7nEA64/vAHIK3n1YhdoVBZorMX29wGEyY8c95s0cSBmQWqb2LtvssF2PB7nsbX+0Q1BA/cAqu6q6jqJlbrg82+Q3XJAqTvzt1l1Z7217E8NNVlIm4dO8AxMBC1RUXq83x4PDgKhXDr2MGg93VxccHcuXMxZ84cODs7o3v37njw4AGuXLmCCRMmqLRv1qwZdu7cif379yMsLAxbt25FVlYWwsLCAAB5eXnYsGEDBg8ejODgYFy9ehXXrl3DmDFjUFFRgdmzZ2P48OEICwvD3bt3kZWVhWHDhqnt299//42dO3ciISEBAQEBuHfvHlJTU+Hq6opXXnnFoM+B1MH5h78ehULr7hKd8zNw9msj9EsPXDZblGOZ32TD2CbWKicHd2jqq3U0hQfg8j0RPn8jBh/9lqO1AKjs2gf/KsTu7Ht4VCadOhM4MPi4E3Awpwj923AfWdJnRIYBIKqs1dqG9texXDYV+KSkpGDJkiUKx4RCIQq15daYCM/BAcL5ydLVWzyeYvDzfEWUcH6yQRObZRYuXAhHR0csWrQI9+/fR1BQEN5++221bcePH4/c3FyMHDkSPB4Po0aNwtSpU7F3714AgJubG3Jzc7FlyxaUlJQgKCgI06ZNw5QpU1BbW4uSkhKMGTMGRUVF8Pf3x9ChQ1X+m8i4uLjg+PHjWLNmDR4/fgyhUIhevXohMzMTDRs2NPhzIM9x/eGvbz2vurtEswl89ApKOOKag1SXKQIzC6YrsVZdcrCfuzMelVVrPEeWB+PrLsCJuS9rDKzUXVvZjJ3Z4PEdOK+iMsaIDO2vY9lsKvABgBdeeAEHDx6Uf+1ghEBCX14JCUDaGhQtX6GQ6OwoFEI4P9koS9kBgM/nY8GCBViwYIHKa6GhoWCeB2ESiQQCgQCbNm3C5s2bFdqtWLECgDSQ1JR/4+zsjO3bt7PuV3BwMPbs2cO6PTEQtj/8XX2Bzu8AvWbVb2VT0246VnvxpP1hM41WX1or1evANjDjuvO1DdCUHKwt6Kmr+GmlxsBK07XV0WcVla4Ebn0oj1YRy2JzgY+joyMCAwPN3Q2NvBIS4BkXJ13l9eABHAMC4Naxg1FGeghRi+0P/4onwNEVQMNW9VvVxHcA4pcAfwMaMzm4TKPVl6ZK9RpxCMzscH8grsnB6mgadeFybX1XURly3yEAWDigFcZ1D6ORHgtmc4HP9evXERwcDIFAgM6dO2P58uVo1qyZxvZVVVUKibQikQgAUFNTg5oaxeWXNTU1YBgGEokEEolE/07yeHB9saP8SwYAU5/rGYhs5Ef2Hi2RRCIBwzCoqakx62ie7LOh/BmxGhH9gWFbgAOLgGfapoJ5wP7FQHhCvQKTmvA+wN8HUOPVFBDd+ucFz2AgPkXaH1M+y4j+0vd05wxQVgw8ygOOfwrVQPD5D68+KwCxRPpHk9w90lpkYAB+nR/kzx4D300GXmOAlrpz16zts3Um7xEePauAQI+PBw+A0MsFMY091b5fNtcW8BmFv4tLy1BT48WpH3Et/LHujbZYuTcXhaL6rcLyd3eERFxrkbnw1vbZ4ort++IxjLpMW+u0d+9elJeXIzIyEkVFRVi6dClyc3Nx5coVNGig/jcAdXlBALBt2za4ubkpHJONJoWEhNAGe2ZSXV2NO3fuoLCwELW12pMLCSGE2I/y8nK88cYbKC0thZeX5uDXpgIfZWVlZQgPD8ecOXOQlJSkto26EZ+QkBA8fPhQ5cFVVlbizp07CA0NtcnN9RiGwdOnT+Hp6SkvQWFpKisrcevWLYSEhJj1v0FNTQ0OHDiAPn36sC7JYXIS8T8jGu4NgZBOqqM2f/0E/PSu7mu9+jkQ9areXbGK5wWwe2bq3D4JbBuhu90b3wJNu2ptYjXP6rkzeY/w1pYsne183ZzwuPyf38gDvVwwr39LxLfSnDvF5toCPoOPOkqw6CwfPh6u2D+9l0GnmcQSBuduP0bx0yqk7stReA91yUavDH1/Q7K2zxZXIpEI/v7+OgMfm5vqqsvd3R2tW7fG9evXNbYRCAQQCAQqx52cnFQ+GGKxGDweD3w+X17SwZbIprdk79ES8fl88Hg8tf99zMFS+qGCba6JlxCQsBjaf5gL3K1/oq7FPi85J6B5L+6nVRSze44VxQDL92/5z0qqS/OG8PNw1bm787HZsc8DCPZ1pkorxaiR8MCmRmmVhIfkAS/ARWDY0XgnAN0jpcGZq8AJ73wj3clZzYSoUe5vDNby2eKK7XuyzJ9uBlJVVYWcnBx5OQVC7AKXKuuyFV66dlk+/gmwZSCwJlr9Lsb2Xumc7YovUyzZNzG2uzs7O/LRNbwBXm3XCF3DG+gMevZdLsC72y6wCnoAYPXIdkZdRSWWMPB2dcZb3UPh6674A5aqpFsXmxrxmTVrFgYNGoQmTZqguLgYS5cuhUgkkhfnJMTm6axFpVRlnevybnW1texwJZMKnVsEmHDJvhloKkqq77JuNqu5+DxgbNemiG8ZgIc5p7ROmcmuqW9lc017FA1pF4w+UYFUJd3K2FTgc/fuXYwaNQoPHz5EQEAAunTpglOnTqFp06bm7hohpqGzHIWaXYg5Le9WCp5yf9Ne6dxUxUfNTWsAaYYl+2bAdndnNtiUkZAwQMILQejYxAt7crRfT1PldTZBmaZ9hB6XVSP9j1sU9Fghmwp8duzYYe4uEGJebHcXVm5Xt8RE3jHg90+0nPw8eLp1gv3okj3QFEDqu/O1FdK1uzNbbMtISNtpX7quKXCRFRvVNkWlbeTp+Sdcr00TiXnZVOBDuLt16xbCwsJw4cIFtGnTxtzdIfVVn1wTWYkJtsFT3nH2o0uNu7C7prWrG0Da0c7Nhsa2jISudvUNXHSNPOm7aSIxL5tObibWg2EY9O/fHzweDz/++KO5u2O9mnaTlprQxtVPe64J2+CJ7S+49lbjShZAth4u/ZuCHs5kZSQ0fcR4kE5V6SoAyiVwUYfbyBOxFhT4mIFEwuDe1ce4llWIe1cfQ8J22YINW7NmjcXuHWR96vkcda704gFejYCmPdhdzwZXMhHje/3FJhqXxwPsCoDWN3Ax1MgTsSwU+JjYzQvF+Hp+Jn5cfQEHvvoLP66+gK/nZ+LmhWKj3VMikSA1NRXNmzeHQCBAkyZNsGzZMrVtxWIxJk6ciLCwMLi6uqJFixZIS0tTaHP06FF06tQJ7u7u8PHxQffu3XH79m0AwMWLFxEbGwtPT094eXmhQ4cOOHv2rNb+Xbx4EatWrcKmTZsM84bt2e1MoEL9b69yFY+k7TSRJeoC0FpbK6xn/UeXCFGy73IBeqQexuqD19S+zmXpeH0DF0ONPBHLQjk+JnTzQjH2fXlZ5XjZkyrs+/Iy+k2JRnhMQ4PfNzk5GRs3bsTq1avRo0cPFBQUIDc3V21biUSCxo0bY9euXfD390dmZiYmT56MoKAgJCYmora2FkOGDMGkSZOwfft2VFdX48yZM/LRmtGjRyMmJgZffPEFHBwckJ2drXVTqfLycowaNQpr16616OKyVkPf5GZlbBJ1JWLUe3SJWBRGLDZrAWVdldhnxEdg2ssRrBOJdVVel22uqClw0VbAlMvIE7EsFPiYiETC4PhOzTtIA8CJXdcR1jYAfAP+I3r69CnS0tKwdu1a+X5G4eHh6NFD/TSFk5MTUlJS5Ds3h4WFITMzE7t27UJiYiJEIhFKS0sxcOBAhIeHAwBatWolPz8/Px+zZ89Gy5YtAQARERFa+zdjxgx069YNr76qfzkEUochN9LTlajLZXTJXpKbrZgoIwNFy1egtvCforWOgYEQzk+GV0KC0e+va+8eHoAdWXcw7WXt31PqMkTgommPIqGXAKM6NUFVrQQnb5bQsnYrQoGPiRRcf4KyJ1Va2zx7XIWC60/QqIWO6QMOcnJyUFVVhbi4ONbnrF+/Hps2bcLt27dRUVGB6upqtGvXDgDg5+eHcePGoW/fvujTpw/i4+ORmJgo3x07KSkJEydOxNatWxEfH48RI0bIAyRlP//8Mw4fPowLFy7U+30SSEdgGAng6gNUPNHQiONGerJEXXUMNbpE6q2+IzWijAzc+/d0QKl0Y21RkfR42hqjBz/GWkFliM0VlfcouvWwHNvP5GP1wX9+mWW7LxAxP8rxMZEykfagh2s7tlxdXTm13717N2bOnIm33noLGRkZyM7Oxvjx41FdXS1vk56ejpMnT6Jbt27YuXMnIiMjcerUKQDSavdXrlzBgAEDcPjwYURFRWH37t1q73X48GHcvHkTPj4+cHR0hKOjNA4fNmwYevfurd8btld//SwtJ/H1YC1BDwAwhttIz47LNFgSUUYGbsTFI3/sWNyfNQv5Y8fiRlw8RBkZrM5nxGIULV+hEvRIX5QeK1q+AozYuGVIjLmCql90EE7MfRnbJ3VB2uvtsH1SF5yY+zKnIEW2R5HAkY81B6+hUKTYD9m+QPsuF3DuHzEtCnxMxN1LtRBqfdqxFRERAVdXVxw6dIhVe1lAM3XqVMTExKB58+a4efOmSruYmBgkJycjMzMT0dHR2LZtm/y1yMhIzJgxAxkZGRg6dCjS09PV3mvevHm4dOkSsrOz5X8AYPXq1RrPIWpoqs1lbKxXf1Fys7HIRmrqTk8B/4zUyIIfRixG2ekzKP31N5SdPqMQxJSfPadyvgKGQW1hIcrPnjPKe5Ax5N49J2+W4Kfsezh5swTi56tmZYEL21phmq6tbV8gQLovkJhW6lo0muoykaAIH7j7CLROd3n4ChAU4WPQ+7q4uGDu3LmYM2cOnJ2d0b17dzx48ABXrlzBhAkTVNo3a9YMO3fuxP79+xEWFoatW7ciKysLYWFhAIC8vDxs2LABgwcPRnBwMK5evYpr165hzJgxqKiowOzZszF8+HCEhYXh7t27yMrKwrBhw9T2LTAwUG1Cc5MmTeT3Izporc2ljlKtrvrgUqZBLKnfvYgKnSM1PJ50pEYiQfHKVI25O7UPHrC6H9t2+qpvIjJQv9IUbNCGhraBRnxMhM/noedI7Ul5PRIjDJrYLLNw4ULMnDkTixYtQqtWrTBy5EgUF6tfPj9+/Hi89tprGDlyJDp37oySkhJMnTpV/rqbmxtyc3MxbNgwREZGYvLkyZg2bRqmTJkCBwcHlJSUYMyYMYiMjERiYiL69++PJUuWGPw9ked01uZSVmc3ZUOQrf7yUvqh4hVsP3W6zITtSM396TO0jgg5BgSwuh/bdvpiW+Vd00jNwZwivPPNeZXAxJBTULShoW2gER8TCo9piH5TonF853WFkR8PXwF6JEYYZSk7APD5fCxYsAALFixQeS00NBTM898YJRIJBAIBNm3ahM2bNyu0W7FiBQBAKBRqzNlxdnbG9u3b69VXRt1vr0QzfROHDZlwTGUazKJeIzB1RoTCM/bDMTAQtUVF6kePeDw4CoVw69hB//uxVJ9E5JV7c41eU4s2NLQNFPiYWHhMQ4S1DZCu8hJVwd1LOr1ljJEeYgf0TRw2dMKxttVfxCjqPQLzfESo4kI2hPOTpau3eDzF4Of5/lzC+clG3c+n7qq0ngEBOD7rJWTll3Kq8i5NNlbfxlBTUIaYjiPmR4GPGfD5PIMuWSd2TJZgLCoAuzwfjsvZicVy69hB+0gNS7UPHsB74AAgbY3qPj5CodH38dG0f9AL85PR1cD3re8UFG1oaBsox4cQa6a1vIQypYRjYtV4Dg4Qzk9+/oXSf3sOde9kI0deCQlofuggmmzZguBPP0WTLVvQ/NBBowc9bFalGYohpqBk03GB3orX4lJKwx5IJGLcuXIJOX8cw50rlyCRGHc7BC5oxIcQa6epvASPL93QUKZuuQliE7wSEjSP1Mybi6KVqZxyd3gODnDv3MkUXWe9Ks0zLo7VNFuglwvyH1eZZApKeUNDttNxbIgljFGua0rXT2fi8OYNePboofyYh58/Xh43GRGdzT/aTIEPIbZAXYJxSGfgzmlKOLZxXgkJ8IyLU79zM59v1twdbbjsH8QmGJvXvyWmbrtosiko2b5AhmTs5fimcP10Jn5etVzl+LNHD/HzquUYnDTf7MEPTXURYitkCcath0v/dnRW/JqCHpslG6nxHjgA7p07yYMZr4QENEpbA0ehYjK7o1CIRiYoQ6GNofcPim8ltOopKFmBVmMuxzc2iUSMw5s3aG1zZMsGs0970YgPIYTYMK0jQmZkjP2DjDkFZUy6doQ21HJ8Y7uXc0VhekudpyUPcS/nCkJeaGOiXqmiwIcQQmycKXN32NK5Kk3P/YOMMQVlbNa+I7REIsa9nCu4dprdxqiydo1avQC+GUaiKfAhhBBicrJVaZaag2RK1rwjtLpEZl2y9/+K7P2/mi3hmXJ87NytW7fA4/HkBUIJIcRULDkHyZQMsSO0OZaPyxKZuQQ9dckSnq+zHCkyFBrxIWbVu3dvHDt2TOHYyJEjsWPHDjP1iBBiSpaag2RK9d0R2hzLx9kkMrN1ZMsGhL/Y2WTTXjTiYwaWvLGTOUyaNAkFBQXyP19++aW5u0QIMSFNq9LsRX0KtGoadTH2aAqbRGa2ZAnPpkKBj4ldP52Jje9OwK4P52PPfz7Brg/nY+O7E4w61CeRSJCamormzZtDIBCgSZMmWLZsmdq2YrEYEydORFhYGFxdXdGiRQukpaUptDl69Cg6deoEd3d3+Pj4oHv37rh9+zYA4OLFi4iNjYWnpye8vLzQoUMHnD17Vmv/3NzcEBgYKP/j7e1tmDdOCCFWQp8doc25fPzZk8es2jVtE2PQ6xkCTXWZkLk2dkpOTsbGjRuxevVq9OjRAwUFBcjNzVXbViKRoHHjxti1axf8/f2RmZmJyZMnIygoCImJiaitrcWQIUMwadIkbN++HdXV1Thz5gx4z5MRR48ejZiYGHzxxRdwcHBAdnY2nJyctPbvf//7H7755hsIhUL0798fixcvhqenp8GfAyGEWDKuy/H1XT4unXXIwbMnj+Hh46vX6io3L3a/oIa164Dbly7obOfhY7r6lRT4mAjbyNzQ85xPnz5FWloa1q5di7FjxwIAwsPD0aNHD7XtnZyckJKSAj5fOhgYFhaGzMxM7Nq1C4mJiRCJRCgtLcXAgQMRHh4OAGjVqpX8/Pz8fMyePRstW7YEAERERGjt3+jRoxEWFobAwEBcvnwZycnJuHjxIg4cOFDv904IIdaGy3J8tqMkyu22zJyGpw/+2TWbaz6QNKdId0qCZwN/uPvpLhPi2cAfjVq9wOrehkBTXSbCJTI3pJycHFRVVSEuLo71OevXr0fHjh0REBAADw8PbNy4Efn5+QAAPz8/jBs3Dn379sWgQYOQlpaGgoJ/dhRNSkrCxIkTER8fj5UrV+LmzZta7zVp0iTEx8cjOjoar7/+Or777jscPHgQ58+f1+8NE0KInWA7SiJrd/PsaQDAs8clCq9zyQf6J6eoRGfb3m9OxLGvN7FqZ8r9fCjwMRF9I/P6cnV15dR+9+7dmDlzJt566y1kZGQgOzsb48ePR3V1tbxNeno6Tp48iW7dumHnzp2IjIzEqVOnAAApKSm4cuUKBgwYgMOHDyMqKgq7d+9mff/27dvDyckJ169f59RvQiwBIxaj7PQZlP76G8pOnwEjFnN6nRAuGrV6AR5+/lrbyEZTJBIxfv/fZq1tdeUDsV3J5eHXAIOT5sPVy4tVArSrl5fONoZEgY+JcI3MDSUiIgKurq44dOgQq/aygGbq1KmIiYlB8+bN1Y7axMTEIDk5GZmZmYiOjsa2bdvkr0VGRmLGjBnIyMjA0KFDkZ6ezrq/V65cQU1NDYKCLLuuDiHKRBkZuBEXj/yxY3F/1izkjx2LG3HxEGVksHrdGCjQsm18vgNeHjdZa5vYsZPB5ztIZx0eax+l0TXrcOfKn6wCmX7vzkBE525m+4VfF8rxMRFZZK7tQ2OMeU4XFxfMnTsXc+bMgbOzM7p3744HDx7gypUrmDBhgkr7Zs2aYefOndi/fz/CwsKwdetWZGVlISwsDACQl5eHDRs2YPDgwQgODsbVq1dx7do1jBkzBhUVFZg9ezaGDx+OsLAw3L17F1lZWRg2bJjavt28eRP/+9//8Morr8Df3x9//fUXZs6ciZiYGHTv3t2gz4EQYxJlZEh3IFYqvVBbVIR77/8bov798XTvXpXzaouKpOcZYbM+UUYGipavUKiA7hgYCOH8ZLNvDMiIxXa9b48hRXTuhsFJ81X28fFs4I/Ysf/k7dQ3CLl+OhMZG/7D6hrlpaUAgCcF91i1N2ViM0CBj8nIInN1q7pkZJG5oS1cuBCOjo5YtGgR7t+/j6CgILz99ttq244fPx65ubkYOXIkeDweRo0ahalTp2Lv82/abm5uyM3NxZYtW1BSUoKgoCBMmzYNU6ZMQW1tLUpKSjBmzBgUFRXB398fQ4cOxZIlS9Tey9nZGYcOHUJaWhqePXuGkJAQDBgwAIsXL4YDfRMkVoIRi1G0fIX6elPPj6kLeuSv83goWr4CnnFxBvvhrzUQM1KgxaVvlhqQWauIzt0Q/mJn6aiOhpVa9Zl10LQiWds1rp/OROa323S2NXViM0CBj0mxjcwNjc/nY8GCBViwYIHKa6GhoWCef3OUSCQQCATYtGkTNm/erNBuxYoVAAChUKgxZ8fZ2Rnbt29n3a+QkBCVXZsJsTblZ88p/BDnjGFQW1iI8rPnDFJIVGcgZoRAiy1LDsisHZ/voLXieaNWL8DDV/tqMXVBCNcdmj0b+COoRUt89Z72KTgZY/3Crw0FPibGJjInhFiP2gcPLOo6OgMxAwdabFlyQGYP+HwH9Bo9DleLNef5qAtCuO7QHDt2Mgqu5rI6p9uI0SYvUApQ4GMWuiJzQoj1cAwIsKjrsA2gDBVosWWpAZmtkUjEGn+xDu/YGVf37IGHbwOFfXzqzjoon/+UxbJ1AHDx8ETC5PcQ0bkbcv5gN5LvExTM/Q0aAAU+hBBSD24dO8AxMBC1RUXqRzN04fHgKBTCrWMHg/SHbQBlqECLLUsNyGwJ22KlYz9bi+Ib11SCI3Xns11qPnDGXDSNbgcAcGNZdsjUSc0ytJydEELqgefgAOH85OdfqC8toItwfrLBpndkgZjGvvB4cAwMNFigxZalBmS2gkuxUtmsQ6vuLyHkhTbyoEfd+RUikc57ezbwR0hUa3k/9q5dzeocUyc1y1DgowdGn9/qiEHQsyeWyCshAY3S1sBRKOR0nmNgIBoZOKFXayD2/GtDBlpsWWpAZgvYJCAf3vylxs0JuSYwK5PlBsmCpzId+wXVPcccKPDhQLbEuu4uxsS0ysvLAUBn4VNCTM0rIQHNDx1Eky1bEPzpp/B/7z3pD3kNP+j935uG5ocOGmUVk6ZAzFEoNHigxZalBmS2gE0C8rNHJTj7yw96nw8ALp6K016eDfzlxbVZ7+pc5xxzoRwfDhwdHeHm5oYHDx7AyclJXsjTVkgkElRXV6OystLi3hvDMCgvL0dxcTF8fHxonx9ikXgODgqJuYKI5mbbs8YrIQGecXEWtVGgV0ICkLZG9ZkIhbSPTz2w3Zzw9O5vEZ44Tu/zY8dOgqdfA7WJ02yDp37vTEfT1u1Y3c9YKPDhgMfjISgoCHl5ebh9+7a5u2NwDMOgoqICrq6u4OmZq2BsPj4+CAwMNHc3CGHF3MGHciBmCcz9TGwR1yRh6ZTXP6PmbM/39GugcUUy2+CpXFTKqp0xUeDDkbOzMyIiImxyuqumpga///47evXqZZFTSU5OTjTSQ6yOJQYf5kbPxLDYlESqq+BaLkLrjLoYoqSSuepR6oMCHz3w+Xy4uLiYuxsG5+DggNraWri4uFhk4EMIIUQVn++Alt17aczhUfbsyROV8+tbUslc9Sj1wSmRo6KiAidOnMBff/2l8lplZSW+/vprg3WMEEIIIbpJJGLk/vE76/YePj4qx2QllTz8/BWOe7JMRuZSKd7cWI/4XLt2DQkJCcjPzwePx0PPnj2xfft2BAUFAQBKS0sxfvx4jBkzxmidJYQQQogirmUlgiJbqj3OpqSStp2hzVWPkivWgc/cuXPRunVrnD17Fk+ePEFSUhK6d++Oo0ePokmTJsbsIyGEEEI0YJtYLKNt1EVbSSU2O0NbQz1K1lNdmZmZWL58Ofz9/dG8eXP8/PPP6N+/P3r27Im///7bmH0khBBCiAZsE4Y7vzZC73uw2RlaIhHjzpVLuHryBACgRdce8p2hLQnrEZ+Kigo4Oio2//zzz8Hn8/HSSy9h27ZtBu8cIYQQQrRjk1js4dcAHQcNxb59+zlfn83mhBkb18Ih/UuFXZvV1QmzBKxHfFq2bImzZ8+qHP/vf/+LV199FYMHDzZoxwghhChixGKUnT6D0l9/Q9npM2DE6ksQEPvCJrH45XFT9B55YZNDVPlUpFKqQl2dMEvAOvB57bXXsH37drWvrV27FqNGjaI6SoQQYiSijAzciItH/tixuD9rFvLHjsWNuHiIMjLM3TViAeq7KksbrjlEyo5s2aCxTpg5sJ7qSk5ORnJyssbX161bh3Xr1hmkU4QQQv4hysjAvX9PB5R+uawtKpIeN1P9LWJZjJVYXN9NB5+WPMS9nCsak6ZNjTYwJIQQC8aIxShavkIl6JG+yAA8HoqWr4BnXByVfbBD6paXGzrA4LoztDr1HTUyJAp8CCHEgpWfPadQ0FMFw6C2sBDlZ8+ZrQwEIxZT7S0zYLO83BDY7OysiyWUqpCxrBLchBBCFNQ+eGDQdoZGuUfmwWZ5uSFpyiHyaOAPFw9PredaSqkKGRrxIYQQC+YYEGDQdoZEuUfmwWZ5+ZEtGxD+YmeD7qGjKYfoZtbpetX5MjXOIz6///47amtrVY7X1tbi99/Z1wohhBCim2tMO4Cv41s1ny9tZ0I6c48AFC1fQUvujYDN8nJZQrGhyXZ2btX9JXkukYuHB9q/8ipcvbwU2hpiRZkxcB7xiY2NRUFBARo2bKhwvLS0FLGxsRDTh5wQQuqNEYtRdv4Cyk6eBCQS7Y0lElRcyDZpjo815B7ZKraJwjfOnjbqSip1OUYunl6I6hmL5h07W1ypChnOgQ/DMODxeCrHS0pK4O7ubpBOEUKIvft78Ktg8vNZtzd1jo+l5x7ZMraJwjknjuClN98ySvAhyzFSVvlUhPN7fkLjlpYZ9AAcAp+hQ4cCAHg8HsaNGweBQCB/TSwW49KlS+jWzbKGswghxNo8PXwYgDRPhsuPDVPn+Fhy7pGta9TqBbh6eaFCJNLarkIkMsr+OebKMTIU1jk+3t7e8Pb2BsMw8PT0lH/t7e2NwMBATJ48Gd98840x+0oIITaNEYtR/NkqbifxeHAMDIRbxw7G6ZQGbh07wDEwEFAzA2DOftkDPt8BrXrEsmprjP1zzJljZAisR3zS09MBAKGhoZg1axZNaxFCiIGVnz2H2qIi9ic8DzqE85NNvm8Oz8EBwvnJ0tVbPJ5ikrMZ+2UvmnfsjPN7ftLZzhj757ANpixp08K6OK/qWrx4MQU9hBBiBFzzYRwaNkQjPZeMG6LgqVdCAhqlrYGjUKhw3FEo1LtfRDeJRAyJRAIXDw+t7Yy1fw7bYMqSNi2si3Nyc1FREWbNmoVDhw6huLhYpTApreoihBD9cM2H0TDJpJMoIwNFy1corMpyDAyEcH4y52DFKyEBnnFxtHOziahbSaWJsfbPYVPCwtI2LayLc+Azbtw45OfnY+HChQgKClK7wosQQgh3bh07qIyeaFNbXMx5o0BjbDrIc3CgJesmoGkllTLPBv6IHWvYshV1sSlhYWmbFtbFOfA5ceIEjh8/jnbt2hmhO4QQYr94Dg5oODMJVysrNScN18WxSCkVPLVebFZSuXh4YuCMuQiJam30oENWwkJ59MnYQZchcA58QkJCVKa3CCGEGIbnyy8De/bAsWFDdvv4KG0UqK1gKG06aL3YrKSqfPYUfB7fZCMtmkpYWOpIjwznwGfNmjWYN28evvzyS4SGhhqhS4QQQpr9/BNqLl6CKCMDT/73P53tax880Jm7Q5sOWi9LXUklK2FhTTgHPiNHjkR5eTnCw8Ph5uYGJycnhdcfPXpksM4RQoi9qps3wybwqb59Cw/Xfq41d4c2HbRe1r6SypLoNeJDCCHENMSPH0mLlGqq18XjwVEoxONd3+rM3QnP2A/HwEDpXkHq2j6/Fm06aHmsfSWVJeEc+IwdO9YY/SCEEKJElJGBezOS1AcpdfiMGIGH//2v5gbPc3cqLmRDOG8u7k2fodqGNh20aHy+A1p274Wzv/ygsY0lr6SyJJw3MASAmzdv4oMPPsCoUaNQXFwMANi3bx+uXLGM7anXrVuHsLAwuLi4oEOHDjh+/Li5u0QIIZxoXYElw+cjePUqODdtyuqaTw8fQtHKVLWvWeqmg4bYaNEWXD+dqTXo6ThoqEWvpLIknAOfY8eOoXXr1jh9+jR++OEHPHv2DABw6dIlLF682OAd5Grnzp2YPn06FixYgAsXLqBnz57o378/8jlUOSaEEHOruJCtfQUWAEgkcPD2YZ2T83jL1xqv2XDeXIsLekQZGbgRF4/8sWNxf9Ys5I8dixtx8RBlZJi7aybFZin71czfIZHYZ1DIFefAZ968eVi6dCkOHDgAZ2dn+fHY2FicPHnSoJ3Tx6pVqzBhwgRMnDgRrVq1wpo1axASEoIvvvjC3F0jhBDWah/q3pkXAO5Nnw7x40c6C4aCr/3bffHKVIsaTZFttKgcqMmStbkEP9Y+amTtRUEtDeccnz///BPbtm1TOR4QEICSkhKDdEpf1dXVOHfuHObNm6dwPCEhAZmZmWrPqaqqQlVVlfxrkUgEAKipqUFNTY3xOmuBZO/X3t63PuhZcUPPiz35M/Lzg1gg0NleXFmJ/HnJ8H3zX3i89RvpQeWCoSz2XhM/fgzRmSyLSGxmxGLc//QziOv8cq2Ax8P9Tz+DS69eqH2e9K3ps/X08GEUf7ZKofiro1CIhjOTpHsmWYHSR4/Ac3Ri1S5Qy78xW/93yPZ98RiOuxE2btwYu3btQrdu3eDp6YmLFy+iWbNm2L17N2bNmoWbN2/q1WFDuH//Pho1aoQ//vgD3br9M9e5fPlybNmyBVevXlU5JyUlBUuWLFE5vm3bNri5uRm1v4QQQggxjPLycrzxxhsoLS2Fl5eXxnacR3zeeOMNzJ07F99++y14PB4kEgn++OMPzJo1C2PGjKlXpw1FuX4YwzAaa4olJycjKSlJ/rVIJEJISAgSEhK0PjhbVFNTgwMHDqBPnz4q+zMRRfSsuKHnxV7dZ1V5/Djuz53HasQGAELWr4drTDtpftDDh3D094drTDs83rETD1av1nl+wIwZ8Bv9hsbXTTV6Itq3HwUffKCzXdDSpXCNe1ntZ0t08CAK5i/Qvg1Aw4Zo9vNPFr+KTSIRY8vMaXj2WPOsiqdfA4z5dK3WVV22/u9QNmOjC+fAZ9myZRg3bhwaNWoEhmEQFRUFsViMN954Ax+w+KAak7+/PxwcHFCoNCdcXFwMoYbCfwKBAAI1w8lOTk42+cFgw57fO1f0rLih58Wek5MT3Pr2hSOPh4KFiyApLdV9UkkJnF1c4Ny1i8JhFz8/ONSZ0tfExc9P7X8fRizGw/Xr8fC/awEAdX+0MnfuoGj6DDgacEWYS8OG7PrbsKG8v3U/W6KMDBTPSIKucIbJz0fNxUtWUJ7DCbFvvqW1KGjvf70FgcCF3dVs9N8h2/fEObnZyckJ//vf/3Dt2jXs2rUL33zzDXJzc7F161Y4mDlqdnZ2RocOHXDgwAGF4wcOHFCY+iKEEGvhlZCARmt0j9YAgEMDP7VJvGwrvqtrJ8rIwI2X4+RBj4rno1FFy1cYLGnYrWMHncnajoGBavOR5NsAsGQt5TlkRUE9/PwVjns28MfgpPm0lJ0DziM+MuHh4QgPDzdkXwwiKSkJb775Jjp27IiuXbtiw4YNyM/Px9tvv23urhFCiF7cO3XSueOyg7c37s9LhrjuNNTzOl2ecXHS87Usj1cXSMhWVumcajNwcVOegwOE85Ol91ZOzlbeaFFpKktnIVYl1lSew1qLgloazoGPWCzG5s2bcejQIRQXF0Oi9KE7fPiwwTqnj5EjR6KkpAQffvghCgoKEB0djT179qApyw2+CCHE0ugMBBgG4idPVM6TLf1ulLbmn/MB7YHEc6w2UFS+nwFHT7wSEoC0NapFV4VCedHV+vZB06iRJbPGoqCWhnPg8+9//xubN2/GgAEDEB0drTFp2JymTp2KqVOnmrsbhBBiMNoCAXFFBRh1OUB16nQ1P3QQjTQFEvPmwsHbB6W//gbHgAC4dezAeeQEMPzoiVdCAjzj4qR9efBA3jd1ycjlZ88BJSWs9z8CqDyHveIc+OzYsQO7du3CK6+8Yoz+EEII0UBdIFB25gxKPv9c80l1pqHUnV/7+BGKVqYqBkOBgfDs25d9x4xY3LRulXp1nj6fZbjz9tv/JERrK+r6/PVGqz6zuJ2qiWlwTm52dnZG8+bNjdEXQgghOsgCAe+BAyAufaI96KlDNgWkfP79GUlqd0d+vGULp34ZYvSE6w7LoowM6XJ/ZdqCHgDBqz6DV79+9ekqsWKcR3xmzpyJtLQ0rF271iKnuQghxB5wXb2kPA2lNYfn+RQZeDydQYSDUIjABfPrPXoiyshQnYZ7npyt7tpsi7jW7b+26xH7wTnwOXHiBI4cOYK9e/fihRdeUFk3/8MPmqvHEkIIMQwuOTjqknh1ns8w/wQVGspe+L/3HvzfnlLvkR5Nq8dkydlQs0eQvP/aynpIJGg4bx4c/f215gcR+8I58PHx8cFrr71mjL4QQghhicvqJXXTUGzP9x07Bk/3Z7AeieGKzchT0fIV8IyLU3gPbPvv6O8P74ED6t1PYjs4Bz7p6enG6AchhBAO2K6g8n9vmtoAhe35TkHBaJiUhNpHj+Dg5wen50nMhho5YTPypG6PILb9t6Z9eohp6L2B4YMHD3D16lXweDxERkYigD5chBBiMrLdjTVuagjpyIy/hs1b2ZwPPh/FK1cqXM/QS8DZjtwot5P1X93+RQCMutKMWDfOq7rKysrw1ltvISgoCL169ULPnj0RHByMCRMmoLy83Bh9JIQQokS2qaH0C6WFJs8Tk7UFKVrPl1FKbJbl3IgyMurTdQX6jtwo9F+Zhk0ZCQH0CHySkpJw7Ngx/PLLL3jy5AmePHmCn376CceOHcPMmTON0UdCCCFqeCUkoFHaGpUaW45CIRqxKBqq6XzwNfxosLC6XF4JCQhOXalynO37J/aJ81TX999/j++++w69e/eWH3vllVfg6uqKxMREfPHFF4bsHyGEEC247G7M5vzahw8VprdUmLMulxqeL78M7NmDkPXrgZISWr1FdOIc+JSXl0OopoJvw4YNaaqLEELMQNfuxlzOL/31N1bnmLouFyMWaw3u3Dp2UNlehRB1OAc+Xbt2xeLFi/H111/DxcUFAFBRUYElS5aga9euBu8gIYQQ0zHkaildwUpd2kautG1u6Boby+6NEfIc58AnLS0N/fr1Q+PGjdG2bVvweDxkZ2fDxcUF+/fvN0YfCSGEmIjO1V4sV0tx3YkZUD9ypWtzQ+Ga1ezeGCHPcU5ujo6OxvXr17FixQq0a9cObdq0wcqVK3H9+nW88MILxugjIYQQE9G5Wgy6V0vJghV1NcC4rArTubkhgOLPVrG6FiEyeu3j4+rqikmTJhm6L4QQQiwAm5wbTfTdiVkdVpsbFhXpfD+E1KVX4HP16lX897//RU5ODng8Hlq2bIlp06ahZcuWhu4fIYQQM+C6WkyWz1N28qReOzGrY8gEakJkOAc+3333HUaNGoWOHTvKk5lPnTqF1q1bY9u2bRgxYoTBO0kIIcT02K4WE+3bh8IlH0L8+DHra7MJaqjcBDEGzoHPnDlzkJycjA8//FDh+OLFizF37lwKfAghxI4UffIJHn21ifN5bIIatonWhHDBObm5sLAQY8aMUTn+r3/9C4XahjcJIYTYlNJ9+7gHPVp2YlZpyiLRuuHMJG73J3aPc+DTu3dvHD9+XOX4iRMn0LNnT4N0ihBCiGVjxGIULvlQd8O69Kihpassh+fLL3PrA7F7nKe6Bg8ejLlz5+LcuXPo0qULAGmOz7fffoslS5bg559/VmhLCCHE9pSfPQcJh5wegN2qMHW0JVrX1NRwuhYhnAOfqVOnAgDWrVuHdevWqX0NAHg8HsQGKmJHCCHEsnBZcdXg7bfh3rVrvWpo1bcsByEynAMfiURijH4QQgixImxXXDn4+SHgvWlUNJRYDM45PoQQQohsxZUugYsWUtBDLIpeGxieOXMGR48eRXFxscoI0KpVtH04IYTYOtmKK3V1tGT8JrwFr379TNsxQnTgHPgsX74cH3zwAVq0aAGhUAhenSWGPOXlhoQQQmyWptIWfF9fBC5eBG8DBz3qqr0TwpVe1dk3bdqEcePGGaE7hBBCrAnX0hb60lTtvUHyPIPeh9g+zoEPn89H9+7djdEXQgghVsjYK65k1d6Vp9Rqi4pwf+48YEmK0e5NbA/n5OYZM2bg888/N0ZfCCGEEAU6q73XaUcIG5xHfGbNmoUBAwYgPDwcUVFRcHJyUnj9hx9+MFjnCCGE2Lfys+d0VnsHgIoL2XDu2sVEvSLWjHPg89577+HIkSOIjY1FgwYNKKGZEEKI0bDdKLH24UMj94TYCs6Bz9dff43vv/8eAwYMMEZ/CCGEEDm2GyU6+vsbuSfEVnDO8fHz80N4eLgx+kIIIYQokG+UqGN2wTWmnWk6RKwe58AnJSUFixcvRnl5uTH6QwghhMjJNkqUfqE5+Hl27JiJekSsHeeprv/85z+4efMmhEIhQkNDVZKbz58/b7DOEUIIIbKNEgsWLYbkyRO1be7PnQdHHo9z5XdifzgHPkOGDDFCNwghhBDNPOPiULhsudY2RctXwDMujmqDEa04Bz6LFy82Rj8IIYQQjcrPnoO4qEhzA4ZBbWEhys+eM+pmisT66VWkFADOnTuHnJwc8Hg8REVFISYmxpD9IoQQQuRYL2tn2Y7YL86BT3FxMV5//XUcPXoUPj4+YBgGpaWliI2NxY4dOxDAcukhIYQQwhbrZe30M4jowHlV13vvvQeRSIQrV67g0aNHePz4MS5fvgyRSIT333/fGH0khBBi53Qua+fx4BgYSBXbiU6cA599+/bhiy++QKtWreTHoqKi8Pnnn2Pv3r0G7RwhhBACsFvWLpyfTInNRCfOgY9EIlFZwg4ATk5OkEgkBukUIYQQoswrIQGN0tbAUShUeS04dSUtZSescM7xefnll/Hvf/8b27dvR3BwMADg3r17mDFjBuLi4gzeQUIIIUTGKyEBnnFx0uKlDx4ADRrgZnERPF9+2dxdI1aCc+Czdu1avPrqqwgNDUVISAh4PB7y8/PRunVrfPPNN8boIyGEECLHc3CQL1mvqakB9uwxc4+INeEc+ISEhOD8+fM4cOAAcnNzwTAMoqKiEB8fb4z+EUIIIYQYjN77+PTp0wd9+vQxZF8IIYQQQoyKdXLz4cOHERUVBZFIpPJaaWkpXnjhBRw/ftygnSOEEELEEjGyCrOw5+89yCrMglgiNneXiBVjPeKzZs0aTJo0CV5eXiqveXt7Y8qUKVi1ahV69uxp0A4SQgixXwdvH8TKMytRVP5PuQqhmxDzOs1DfFNKsSDcsR7xuXjxIvr166fx9YSEBJw7d84gnSKEEEIO3j6IpKNJCkEPABSXFyPpaBIO3j5opp4Ra8Y68CkqKlK7f4+Mo6MjHlCNFEIIIQYgloix8sxKMGBUXpMdSz2TStNehDPWgU+jRo3w559/anz90qVLCAoKMkinCCGE2LfzxedVRnrqYsCgsLwQFx9cNGGviC1gHfi88sorWLRoESorK1Veq6iowOLFizFw4ECDdo4QQoh9elDObgbhYcVDVu0oQZrIsE5u/uCDD/DDDz8gMjIS06ZNQ4sWLcDj8ZCTk4PPP/8cYrEYCxYsMGZfCSGE2IkAN3ZV1v1d/VGIQq1tKEGa1MU68BEKhcjMzMQ777yD5ORkMIx0jpXH46Fv375Yt24dhGrqpxBCCCFctW/YHkI3IYrLi9Xm+fDAg9BNiLYBbbUGPrIEaeVryBKkV/VeRcGPneFUpLRp06bYs2cPHj58iNOnT+PUqVN4+PAh9uzZg9DQUCN1kRBCiL1x4DtgXqd5AKRBTl2yr+d2mgsHvuZq7JQgTdThXJ0dAHx9ffHiiy+iU6dO8PX1NXSfCCGEEMQ3jceq3qvQ0K2hwnGhm5DVSA3bBOnzxecN0l9iHfQuWUEIIYQYW3zTeMSGxOJ88Xk8KH+AALcAtG/YXutIjwzbBGm27YhtoMCHEEKIRXPgO+DFwBc5n8c2QZptO2Ib9JrqIoQQQiydLEFaOUdIhgceAt0C0b5hexP3jJgTBT6EEEJskiESpIntocCHEEKIzapvgjSxPZTjQwghxKbVJ0Ga2B4KfAghhNg8fROkie2hqS5CCCGE2A0KfAghhBBiNyjwIYQQQojdoMCHEEKI1ZLV2cq4lYGswiyqu0V0osCHEEKIVTp4+yBe+/k1AMDizMV4a/9b6Pt9Xxy8fdDMPSOWjAIfQgghVufg7YNIOpqkUmeruLwYSUeTKPghGtlU4BMaGgoej6fwZ968eebuFiGEEAMSS8RYeWYlGDAqr8mOpZ5JpWkvopbN7ePz4YcfYtKkSfKvPTw8zNgbQgghhna++DyKyos0vs6AQWF5Ic4Xn6e9e4gKmwt8PD09ERgYaO5uEEIIMRLl6a36tqtLLBHTDs82zuYCn9TUVHz00UcICQnBiBEjMHv2bDg7O2tsX1VVhaqqKvnXIpEIAFBTU4Oamhqj99eSyN6vvb1vfdCz4oaeF3v0rHRr4NwAAggAAM5wVvhbuZ3sOYolYlx8cBEPKx7C39UfbQPaqgQ0R+8cxapzqxQCpgC3ACR1SELvkN7GeTMmZOufLbbvi8cwjOokqZVavXo12rdvD19fX5w5cwbJycl49dVX8X//938az0lJScGSJUtUjm/btg1ubm7G7C4hhBBCDKS8vBxvvPEGSktL4eXlpbGdxQc+mgKTurKystCxY0eV499//z2GDx+Ohw8fokGDBmrPVTfiExISgocPH2p9cLaopqYGBw4cQJ8+feDk5GTu7lg0elbc0PNij56VKnWjNcfvHcf84/PhDGfM8ZmD1CepqEY1eOABAJb3XI7eIb1x9M5RzD8+XyURum67no164rWfX9M4NcYDDwFuAfhh8A9WPe1l658tkUgEf39/nYGPxU91TZs2Da+//rrWNqGhoWqPd+nSBQBw48YNjYGPQCCAQCBQOe7k5GSTHww27Pm9c0XPiht6XuzRs5I6ePsgVp5ZqZDMLHQTYl6neVjRewU+O/MZAKAa1ahCFfxc/LCg8wL0Ce0DsUSM1HOpqESl2mvzwMPH5z6Gl6sX7pbf1dqPO+V38OfjP20iWdpWP1ts35PFBz7+/v7w9/fX69wLFy4AAIKCggzZJUIIISYg26tHebRGtlfPqt6rML39dFRe/ieweVT5CB9nfQw+jw9vgTer1V9nCs6w6o8+ydLE8lh84MPWyZMncerUKcTGxsLb2xtZWVmYMWMGBg8ejCZNmpi7e4QQQjjQtVcPDzwsObkEFVUVWOizUOF1WWD0r1b/YnczHrtmAW4B7BoSi2YzGxgKBALs3LkTvXv3RlRUFBYtWoRJkyZh+/bt5u4aIYQQjtjs1fOk6onG1wDgt7zfWN3rReGL8BZ4a3ydBx4C3QLRvmF7Vtcjls1mRnzat2+PU6dOmbsbhBBCDKC+00oMGDyqfAR3J3eU1ZRpbOcj8IGoWoTSqlKt15rbaa5VJzaTf9jMiA8hhBDbYahpJYlEovV1hmGQeiZVaxsfZx/EhsQapD/E/CjwIYQQYnHaN2wPoZtQvuxcXxXiCq2vl1aXoriiWGubJ9VPcL74fL36QSwHBT6EEEIsjgPfAfM6SYtMKwc/vOf/83b21hgY8cDTmrfDFa3osh0U+BBCCLFI8U3jsar3KjR0a6hwXOgmxKreq5DSLUXtebJgiPWqLhZoRZftsJnkZkIIIbYnvmk8YkNiNRYOZXoyKP+zXOEcoZsQczvNRWxILL679h2Ky4vVLovngYeGbg3BMAweVDzQ2EboJqQVXTaEAh9CCCEWzYHvIN8xWbl6es9GPbH/z/34PO5zlFSXqARG8zrNQ9LRJPDAUwlsGDAYHjkczbybYdaxWSptZCNHtKLLtlDgQwghxCqoK1/R2K0x3nZ+G+2F7dWWLJBNlymfJ/N59ucQugkx7oVx2JO3R6GNr4svFnRegPim8cZ5Q8QsKMeHEEKIxZOVr1AOXh6WPwQAHL1zVOO58U3jsX/Yfrzb9l21rxeXF2Pzlc3oF9oPvgJf+XFZ+YuDtw/Wu//EclDgQwghxKLpKl8BAKvPrUZ1bTWyCrOw5+89yCrMglgiVmj73fXv1F6fef6/LX9tweOqxwqvFZUXIeloEgU/NoSmugghhFg0XeUrAOmoTfx38QqBi6yKe3zTeFbX0IQBgyUnlyA2JJZyfWwAjfgQQgixaGz30FEerZEVKz14+2C99+F5UvUEGy9trNc1iGWgwIcQQohF03cPHdk0WOqZVNwS3ap3P77J+UZl+oxYHwp8CCGEWLT6lK9gwKCwvBA7cnfUux+l1aVUusIGUOBDCCHEomkrX8GW8jSYvqh0hfWjwIcQQojF01S+wtfFV8MZxkGlK6wfreoihBBiFdSVr4jyjsLBDM1LzXngwdfFF48qH+m8vrujO8pqyzReh0pX2AYa8SGEEGI1ZOUrXmn2Cl4MfBGZBZka28qmxRZ0XqA1R4gHHnwEPnDgqV+qTqUrbAsFPoQQQqzSwdsHMf/4fI2vezt7Y1XvVUgITdCYIySrz/Wk6glENSL11xFIr0OlK2wDBT6EEEKsjrbdnGUEjgLEhsQC0Jwj1NCtIbydvbXeS8D/5zrE+lGODyGEEItVtxq7n4sfeDweSipKUFJZgqLyIggg0HhuUXkRzhefl1d2V5cjJGEkmJgxUWsfiioUr0OsGwU+hBBCLJK6auxcKS8/l+UIyez5e49e1yHWiwIfQgghFkdWjV3bVBYbupafs12eTsvYbQfl+BBCCLEobPJ3dOGBh0C3QJ3Lz3XtCs32OsR6UOBjAhIJg3tXH+NaViHuXX2M2lqJwtcSSf1+oyGEEFtSn0rqALfl59p2haZl7LaJprqM7OaFYhzfeR1lT6rkx3g8gKkT67j7CNBzZATCYxqquQIhhNiX+ubTCN2EmNtprsry87qJ0gFuAWjfsD0c+A7yFV/K+USarkOsGwU+RnTzQjH2fXlZ5TijNMBT9qQK+768jH5TovUKfiQSBgXXn6BMVAV3LwGE4d4oulkq/zoowgd8vn71bbTdx1DXJYSQuvTJp/l3+3+jgXsDhYCmLnWJ0kI3IeZ1mof4pvFqV3ypuw6xfhT4GIlEwuD4zuuczjmx6zrC2gZwCiZMNaKk7j40UkUIMQZZ3k1xebHOPB/ZdNSIyBFwEbiobaMpUbq4vBhJR5PkmxMqr/gitolyfIyk4PoThSCBjWePq1Bw/Qnr9rIRJeX7aBpRunmhmFN/dN2nvtclhBB12FZjr/uappEZbYnSsmOpZ1Ihlojr02ViRSjwMZIyEbegR+bvS+zmtvUdUeKaSM3mPvpclxBCtNG003JdQjchlvdcrvU6uhKlGTAoLC/E+eLzeveVWBea6jISdy/Nu4lqc+nQXQQ399E5fVSfEaVGLXxZn8PmPvpclxBCdFHOu6m7c7MsB0cilmDPn5o3IWSbKE0bFNoPCnyMJCjCB+4+As7BCcAu10ffESW258kSmW+wnMbStz+EEKKNrrwbiVii8LXyyq0Grg1Y3Yc2KLQfFPgYCZ/PQ8+REWpXdenCZgRF3xElNuflXXqAzG/zOAVt+vaHEEIMRd3KrYZuDeHu6I6y2jK15/DAg9BNSBsU2hHK8TGi8JiG6DclGu4+3IMCXSMoshElLjx8pUvQdTmYnsMp6GF7XUIIMZajd44i6WiSSj5PcXmx1qAHoA0K7Q2N+BhZeExDhLUNkO9/U15ajT++u6HzPF0jKPqMKPVIjNA6faZvgrKu6xJCiLGtOreKc4kL2qDQPlHgYwJ8Pk8+bSWRMMg+eEfriArbERTZiJKufXw8fAXokah7v52im6U676ncTzbXJYQQY+OanOzn4offXvsNzo7ORuoRsVQU+JgYm5EaLiMoyiNK9dm5uewpu+mt6N6N0DymIe3cTAixWo8qH+Hiw4u0YaEdosDHDDSN1Og7glJ3RElGn6Xl7p4CoFB3u+YxDWnpOiHE6tESdvtEgY+ZqBupMfcIijDcG9CxJyIlMhNCLFGAWwDuld/jlOdDS9jtE63qMgOJhMG9q49x45x09UHzDkI0auFr9mkjNvenRGZCiCVK6pAEQHuJCxkeeAh0C6Ql7HaKRnxMzJKLfcpWdUW/FIzrpx+i8lmN/DVKZCaEWLLeIb2xqvcqlX18lNESdkKBjwnJin0qkxX77Dcl2myBxc0LxTj+3VX4dgIuH7sPppYHF3cnRHYRolmbALNPwxFCiC7KJS7yRfn49tq3KK74Zwd6WsJOKPAxEbbFPmWlKmQlI0yR/yMLyHiODOqmLFeW1chrh1HQQwixBsolLia1maRQwqJ9w/Y00mPnKPAxES7FPivLa0w2HcY1INN1LUtK1iaEEF21voj9ocDHRNgW8fz70gNcOnRX9XwjTYexDcjO/Po3Qlr4aQxmLDl3iRBCCJGhVV0mwraI57VTmpPyAOnoi76lJdRhG5Cd23MbP66+gK/nZ+KmUsV22VSZcgAlC9aU2xNCCCHmQoGPibApKurq4YTKshqtbWTTYYbCtaq6cjDDdqpMU7AmW9p/LasQ964+NmhQRwghhCijqS4TYVOqIqKzUO00lzK2ozRsyAIyLtXYgX/yfrjkLinv9kzTY4QQQkyNRnxMSFaqQnnkx8NXgH5TotGsDbtdRF09nQ02SiILyLiSBTNsgzDldjQ9RgghxBxoxMfEtJWqkEgYnaMvLu5OOJj+F8pLq+XH6jtKIq8d9t1VTufJ+s9G3Xa1tRIc/Ub7vdiuJCOEEEK4oBEfM5AVFY18MVChVAWb0ZfKshqFoAcwzChJeExDjFrUGQAQ0yeE1TmyoE1X7hIAVDyT9vnGuWKkzz5u8lwmQgghBKDAx+Jomg5jo74rvmQBWPt+oTrvLytWyufz0GOE7qmyP767gRPfXcP+jZdRXSFm1R9D5jIRQgghAAU+Fik8piHGLO+GFweFcjrPUKMkbEae6hYrdfVwYtW3iwd1J27XxXXFGSGEEKILBT4W7K/jBZzPMdQoia5E7Lr5RMYYmZGNKBFCCCGGRMnNForNMnF1DDlKoi0R21j3lKk7okQIIYQYCgU+FkqfURRjjJLIErGV1a3L5erpDDdvZ5Wka324eDih9+gWtI8PIYQQo6DAx0LpM4qibpTEGIVD1W08KHCv/0fJ2dURY1d2h6MjzcASQggxDgp8LBSXHZU9fAXokai6j48xdkaWbTyorKqsVm17Hg9oGxeC62eLdb6X2H+1pKCHEEKIUdFPGQuhXLMKgM6VVW3iGmPIjBi8uayb2qDH0Dsjs6nLpYxhgOyDdxDxovZAq12fEDTvQNNbhBBCjItGfCyAtpGZflOiVV5z9XBCRGchmrUJUDt1xbZwKNedkfVNuAaAG2eL0XfSCzjx7Q2Fa7h4OOGlUZFo3kGo13UJIYQQLijwMTNNU0eykZl+U6IxZnk3FFx/gr8vPcC1U0WoeFaDS4fu4tKhu2qnrupTOLQu5fygZ08q9X6fzx5XwdXDWf5eZNcUhnuj8PoTnPr5JngMENzCF40ifWlFFyGEEKOgwMeMuIzMVJbXqK3cXjdAkgU/+hYOrUvdKJQLi40Kdd2v7iqxmxeKsXnOCVSV18kP2nsbAndHxP6rJa3sIoQQYnCU42NGbEdm7l17zCpAkpWr0KdwaF15lx6ozQ+qfKa9vhaX+8lGuhSCnueqymqpQjshhBCjoMDHjNiOzNy/+pj11BUAVoVDte35k/nDTVb94sLDVwBGwuBaViHu5jzC7zuu6TynvrXHCCGEEGU01WVGbEdmGJbpLrJASlZrS13ukIy2nZGlGxFqv6mLu5NChXXlr5XVVInxU1q21msqY5OHRAghhHBBgY8Zsdmrx8NXgMYRvjiH2zqvVzeQktXaUs7T0bTnD1c9EiPg4SNQ2Bgx7+ID1byg5wGRuiktNqhCOyGEEEOiwMeM2I7MBLfwZRUgKU9dsa21pQ8PH4HKSIzy/Vw9nXEw/a963YcqtBNCCDEkyvExMzZV0GUBkjbdh0eg4PoT+QaIstwY2SqqyBcD0agFu2Xibt7OWl/Xlh9U9358Hq9e9buoQjshhBBDoxEfC8BmZEbb1FXzjg1x4lvDlaboNjQcBzbmanydbeX0+k5TUYV2QgghhkaBj4XQVAW9LnUBUsWzauzfeEWlrbr9fdSpu0mhi7sDACCsTQD6TXGsd36QvtNULu5O6P0vqtBOCCHE8CjwsTJ1AySJhMHX8zO1ttdWmkJ5k0KeI4NGfaT7+ER2CJYHWc+eVKHiaTVcPZ3g4uYEiYRhNRLDJnnb3ccZL49phfs3ntDOzYQQQozOagKfZcuW4bfffkN2djacnZ3x5MkTlTb5+fl49913cfjwYbi6uuKNN97Ap59+Cmdn7Tkr1qo+pSk0lcoAgIPpOXDgOyI8piEqy2twcvdNvabR2CRv9xwZiSZRDdAkqoHWaxFCCCGGYDXJzdXV1RgxYgTeeecdta+LxWIMGDAAZWVlOHHiBHbs2IHvv/8eM2fONHFPTUff0hRsS2XcOFdU7wrvbJK3CSGEEFOxmhGfJUuWAAA2b96s9vWMjAz89ddfuHPnDoKDgwEAn332GcaNG4dly5bBy8vLVF01GX1LU7AdKTq2TfvuymwrvBtzWT0hhBDChdUEPrqcPHkS0dHR8qAHAPr27YuqqiqcO3cOsbGxas+rqqpCVdU/QYBIJAIA1NTUoKamfrWpjO2ZqBx8Rwbaijq4+zjDP9Rd4b2InpSB56h6Fs+BUfi7qqoaPC2fkLKnlbib+5D1kvOGzTwAeAAAxOJaiMWsTrNIsudp6Z8RS0HPiz16VtzQ82LP1p8V2/dlM4FPYWEhhEKhwjFfX184OzujsLBQ43krVqyQjybVlZGRATc3N4P309CC++hus2/fXpVjjbScF/xyGev7X7ieiQvaZ81s2oEDB8zdBatCz4s9elbc0PNiz1afVXl5Oat2Zg18UlJS1AYddWVlZaFjx46srsfjqU6dMAyj9rhMcnIykpKS5F+LRCKEhIQgISHBYqfHJBIG2z88rXVzQB6A6N6NcPPCA4V2bt7O6DokHCd/vKlyPs+BQfDLZbh/2B0uLs6o0FJ7S6ZdnxA0jvCFMNzbrqauampqcODAAfTp0wdOTk7m7o7Fo+fFHj0rbuh5sWfrz0o2Y6OLWQOfadOm4fXXX9faJjQ0lNW1AgMDcfr0aYVjjx8/Rk1NjcpIUF0CgQACgWqujJOTk8V+MO5dfYyykhpoKyTKALh08P7zr/5pV1ZSg4Nf5SK0TQPcKilRf66Yh8gXg3Atq0jnzssX9t7Fhb1367VhojWz5M+JJaLnxR49K27oebFnq8+K7Xsya+Dj7+8Pf39/g1yra9euWLZsGQoKChAUFARAOl0lEAjQoUMHg9zDUhiicOftP9UHPTK5Jwu05g4pY7thIiGEEGJOVrOcPT8/H9nZ2cjPz4dYLEZ2djays7Px7NkzAEBCQgKioqLw5ptv4sKFCzh06BBmzZqFSZMmWeyUlb4MUbiT0RHVVJbVoqqMe0X1E7uuy+uEEUIIIZbGagKfRYsWISYmBosXL8azZ88QExODmJgYnD17FgDg4OCA3377DS4uLujevTsSExMxZMgQfPrpp2buueHJdkS2RLINEwkhhBBLZDWrujZv3qxxDx+ZJk2a4NdffzVNh8yIzY7I5mSIqThCCCHEGKxmxIco0rYjct9JqseVaVnoVm+GmIojhBBCjMFqRnyIKm07IvP40Doi1DY+BNkH7hi8Tx6+AtYbGhJCCCGmRoGPlatbrb0u2YhQ3errgDQw6ZEoXXYe2Mxb5XUAELg5olKk37bKPRIj7Go/H0IIIdaFAh8bFh7TEE1b++Py0bsofVgBb39XRPduDEdHvvx1RsLg2LZrqKy7WaGORVnt+oTgelaxxoCKEEIIsVQU+NiwmxeKVUZ0sg/ekW80ePNCMfZvvKJyXlVFLQAeBO6OCkva6wY3XV9rTkVHCSGEWB0KfGzUzQvFanN8ZBsN9p0UjRPfai+y5ejER9/p7VDxtFoluOHzeQiK8JEHPwXXn1DwQwghxOJR4GODJBIGx3dqD2p+334VFc+01+Iqe1INPo+HyBcDVV5TN5pkr2UrCCGEWA9azm6DCq4/UUlYVqYr6JFRtyePbDRJ+R6y0aSbF4rZd5YQQggxIQp8bJAhNxBU3pOHzWgSla0ghBBiqSjwsUFsNxB0cddeydbDVwBGwuBaViHuXX0MiYRhNZpEZSsIIYRYKsrxsUGyWl7aAhQPXwG6D2+udlWXTE2VGD+lZcu/dvcRILxDAKs+UNkKQgghlohGfGyQrJaXNj0SI9C8g1Bt2QsXN+lIUFW5YnX2sidVuHToLqs+UNkKQgghlohGfGwUm52bZe1kZS9ET8pwrfAceDo+FTwewGhJ4aGyFYQQQiwVBT42TFstr7pkZS8a1njg2h6gQlQDQPN+PNqCHoDKVhBCCLFcFPjYOE21vOqrTVxj3Dz3gMpWEEIIsSoU+BC9NGsTgO7DIqhsBSGEEKtCgQ9R4ebtjLISzRscynJ4jDWaRAghhBgLreoiKroNDdf6OuXwEEIIsVYU+BAVYW0C1C5z9/AVoN+UaMrhIYQQYrVoqouoxXZFGCGEEGJNKPAhGlEODyGEEFtDU12EEEIIsRsU+BBCCCHEblDgQwghhBC7QYEPIYQQQuwGBT6EEEIIsRsU+BBCCCHEblDgQwghhBC7QYEPIYQQQuwGBT6EEEIIsRu0c7MShmEAACKRyMw9Mb2amhqUl5dDJBLBycnJ3N2xaPSsuKHnxR49K27oebFn689K9nNb9nNcEwp8lDx9+hQAEBISYuaeEEIIIYSrp0+fwtvbW+PrPEZXaGRnJBIJ7t+/D09PT/B49lWQUyQSISQkBHfu3IGXl5e5u2PR6FlxQ8+LPXpW3NDzYs/WnxXDMHj69CmCg4PB52vO5KERHyV8Ph+NGzc2dzfMysvLyyb/URgDPStu6HmxR8+KG3pe7Nnys9I20iNDyc2EEEIIsRsU+BBCCCHEblDgQ+QEAgEWL14MgUBg7q5YPHpW3NDzYo+eFTf0vNijZyVFyc2EEEIIsRs04kMIIYQQu0GBDyGEEELsBgU+hBBCCLEbFPgQQgghxG5Q4EOwbNkydOvWDW5ubvDx8VHbhsfjqfxZv369aTtqIdg8r/z8fAwaNAju7u7w9/fH+++/j+rqatN21EKFhoaqfJbmzZtn7m5ZjHXr1iEsLAwuLi7o0KEDjh8/bu4uWZyUlBSVz1BgYKC5u2Uxfv/9dwwaNAjBwcHg8Xj48ccfFV5nGAYpKSkIDg6Gq6srevfujStXrpins2ZAgQ9BdXU1RowYgXfeeUdru/T0dBQUFMj/jB071kQ9tCy6npdYLMaAAQNQVlaGEydOYMeOHfj+++8xc+ZME/fUcn344YcKn6UPPvjA3F2yCDt37sT06dOxYMECXLhwAT179kT//v2Rn59v7q5ZnBdeeEHhM/Tnn3+au0sWo6ysDG3btsXatWvVvv7xxx9j1apVWLt2LbKyshAYGIg+ffrIa1XaPIaQ59LT0xlvb2+1rwFgdu/ebdL+WDpNz2vPnj0Mn89n7t27Jz+2fft2RiAQMKWlpSbsoWVq2rQps3r1anN3wyJ16tSJefvttxWOtWzZkpk3b56ZemSZFi9ezLRt29bc3bAKyt+7JRIJExgYyKxcuVJ+rLKykvH29mbWr19vhh6aHo34ENamTZsGf39/vPjii1i/fj0kEom5u2SRTp48iejoaAQHB8uP9e3bF1VVVTh37pwZe2Y5UlNT0aBBA7Rr1w7Lli2jaUBIRxLPnTuHhIQEheMJCQnIzMw0U68s1/Xr1xEcHIywsDC8/vrr+Pvvv83dJauQl5eHwsJChc+ZQCDASy+9ZDefMypSSlj56KOPEBcXB1dXVxw6dAgzZ87Ew4cPaYpCjcLCQgiFQoVjvr6+cHZ2RmFhoZl6ZTn+/e9/o3379vD19cWZM2eQnJyMvLw8/N///Z+5u2ZWDx8+hFgsVvnsCIVC+two6dy5M77++mtERkaiqKgIS5cuRbdu3XDlyhU0aNDA3N2zaLLPkrrP2e3bt83RJZOjER8bpS75T/nP2bNnWV/vgw8+QNeuXdGuXTvMnDkTH374IT755BMjvgPTMvTz4vF4KscYhlF73BZweX4zZszASy+9hDZt2mDixIlYv349vvrqK5SUlJj5XVgG5c+ILX9u9NW/f38MGzYMrVu3Rnx8PH777TcAwJYtW8zcM+thz58zGvGxUdOmTcPrr7+utU1oaKje1+/SpQtEIhGKiopUfnOwRoZ8XoGBgTh9+rTCscePH6OmpsYmnpU69Xl+Xbp0AQDcuHHDrn9b9/f3h4ODg8roTnFxsc1+bgzF3d0drVu3xvXr183dFYsnW/1WWFiIoKAg+XF7+pxR4GOj/P394e/vb7TrX7hwAS4uLhqXc1sbQz6vrl27YtmyZSgoKJB/Y8nIyIBAIECHDh0Mcg9LU5/nd+HCBQBQ+CZsj5ydndGhQwccOHAAr732mvz4gQMH8Oqrr5qxZ5avqqoKOTk56Nmzp7m7YvHCwsIQGBiIAwcOICYmBoA0v+zYsWNITU01c+9MgwIfgvz8fDx69Aj5+fkQi8XIzs4GADRv3hweHh745ZdfUFhYiK5du8LV1RVHjhzBggULMHnyZLus8qvreSUkJCAqKgpvvvkmPvnkEzx69AizZs3CpEmT4OXlZd7Om9nJkydx6tQpxMbGwtvbG1lZWZgxYwYGDx6MJk2amLt7ZpeUlIQ333wTHTt2RNeuXbFhwwbk5+fj7bffNnfXLMqsWbMwaNAgNGnSBMXFxVi6dClEIpHdbrGh7NmzZ7hx44b867y8PGRnZ8PPzw9NmjTB9OnTsXz5ckRERCAiIgLLly+Hm5sb3njjDTP22oTMvKqMWICxY8cyAFT+HDlyhGEYhtm7dy/Trl07xsPDg3Fzc2Oio6OZNWvWMDU1NebtuJnoel4MwzC3b99mBgwYwLi6ujJ+fn7MtGnTmMrKSvN12kKcO3eO6dy5M+Pt7c24uLgwLVq0YBYvXsyUlZWZu2sW4/PPP2eaNm3KODs7M+3bt2eOHTtm7i5ZnJEjRzJBQUGMk5MTExwczAwdOpS5cuWKubtlMY4cOaL2e9TYsWMZhpEuaV+8eDETGBjICAQCplevXsyff/5p3k6bEI9hGMYM8RYhhBBCiMnRqi5CCCGE2A0KfAghhBBiNyjwIYQQQojdoMCHEEIIIXaDAh9CCCGE2A0KfAghhBBiNyjwIYQQQojdoMCHEEIIIXaDAh9CiN4KCwvx3nvvoVmzZhAIBAgJCcGgQYNw6NAhc3fNoowbNw5DhgzR2e7333/HoEGDEBwcDB6Phx9//NHofSPE3lDgQwjRy61bt9ChQwccPnwYH3/8Mf7880/s27cPsbGxePfdd83dPatUVlaGtm3bYu3atebuCiG2y9w1Mwgh1ql///5Mo0aNmGfPnqm89vjxY/n/v337NjN48GDG3d2d8fT0ZEaMGMEUFhbKX1+8eDHTtm1b5quvvmJCQkIYd3d35u2332Zqa2uZ1NRURigUMgEBAczSpUsV7gGAWbduHdOvXz/GxcWFCQ0NZXbt2qXQ5tKlS0xsbCzj4uLC+Pn5MZMmTWKePn0qf33s2LHMq6++ynzyySdMYGAg4+fnx0ydOpWprq6Wt6mqqmJmz57NBAcHM25ubkynTp0U6rKlp6cz3t7ezL59+5iWLVsy7u7uTN++fZn79+/L3x+01HXTBACze/dune0IIdzQiA8hhLNHjx5h3759ePfdd+Hu7q7yuo+PDwCAYRgMGTIEjx49wrFjx3DgwAHcvHkTI0eOVGh/8+ZN7N27F/v27cP27duxadMmDBgwAHfv3sWxY8eQmpqKDz74AKdOnVI4b+HChRg2bBguXryIf/3rXxg1ahRycnIAAOXl5ejXrx98fX2RlZWFb7/9FgcPHsS0adMUrnHkyBHcvHkTR44cwZYtW7B582Zs3rxZ/vr48ePxxx9/YMeOHbh06RJGjBiBfv364fr16/I25eXl+PTTT7F161b8/vvvyM/Px6xZswBIK4knJiaiX79+KCgoQEFBAbp166b3syeE1JO5Iy9CiPU5ffo0A4D54YcftLbLyMhgHBwcmPz8fPmxK1euMACYM2fOMAwjHRFxc3NjRCKRvE3fvn2Z0NBQRiwWy4+1aNGCWbFihfxrAMzbb7+tcL/OnTsz77zzDsMwDLNhwwbG19dXYUTqt99+Y/h8vnzEaezYsUzTpk2Z2tpaeZsRI0YwI0eOZBiGYW7cuMHweDzm3r17CveJi4tjkpOTGYaRjvgAYG7cuCF//fPPP2eEQqH8a9nIEhegER9CjMLRrFEXIcQqMQwDAODxeFrb5eTkICQkBCEhIfJjUVFR8PHxQU5ODl588UUAQGhoKDw9PeVthEIhHBwcwOfzFY4VFxcrXL9r164qX2dnZ8vv3bZtW4URqe7du0MikeDq1asQCoUAgBdeeAEODg7yNkFBQfjzzz8BAOfPnwfDMIiMjFS4T1VVFRo0aCD/2s3NDeHh4QrXUO4rIcQyUOBDCOEsIiICPB4POTk5WlcrMQyjNjhSPu7k5KTwOo/HU3tMIpHo7JvsupruXbeNpnvL7iORSODg4IBz584pBEcA4OHhofUasuCQEGJZKMeHEMKZn58f+vbti88//xxlZWUqrz958gSAdHQnPz8fd+7ckb/2119/obS0FK1atap3P5Rzfk6dOoWWLVvK752dna3Qvz/++AN8Pl9lBEeTmJgYiMViFBcXo3nz5gp/AgMDWffT2dkZYrGYdXtCiPFQ4EMI0cu6desgFovRqVMnfP/997h+/TpycnLwn//8Rz4FFR8fjzZt2mD06NE4f/48zpw5gzFjxuCll15Cx44d692Hb7/9Fps2bcK1a9ewePFinDlzRp68PHr0aLi4uGDs2LG4fPkyjhw5gvfeew9vvvmmfJpLl8jISIwePRpjxozBDz/8gLy8PGRlZSE1NRV79uxh3c/Q0FBcunQJV69excOHD1FTU6O23bNnz5CdnS2frsvLy0N2djby8/NZ34sQoh0FPoQQvYSFheH8+fOIjY3FzJkzER0djT59+uDQoUP44osvAEC+CZ+vry969eqF+Ph4NGvWDDt37jRIH5YsWYIdO3agTZs22LJlC/73v/8hKioKgDTvZv/+/Xj06BFefPFFDB8+HHFxcZz3yElPT8eYMWMwc+ZMtGjRAoMHD8bp06cV8pZ0mTRpElq0aIGOHTsiICAAf/zxh9p2Z8+eRUxMDGJiYgAASUlJiImJwaJFizj1mRCiGY+hiWhCiBXi8XjYvXs3qx2RCSFEhkZ8CCGEEGI3KPAhhBBCiN2g5eyEEKtEs/SEEH3QiA8hhBBC7AYFPoQQQgixGxT4EEIIIcRuUOBDCCGEELtBgQ8hhBBC7AYFPoQQQgixGxT4EEIIIcRuUOBDCCGEELtBgQ8hhBBC7Mb/A3MuIjMnVltDAAAAAElFTkSuQmCC",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"tsne = TSNE(n_components=2, random_state=42)\n",
"X_tsne = tsne.fit_transform(df)\n",
"plot_clusters(X_tsne, labels, \"Plot Clusters using TSNE\")\n",
"plt.savefig('assets/Q7_TSNE.png')"
]
}
],
"metadata": {
"kernelspec": {
"display_name": "base",
"language": "python",
"name": "python3"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.11.5"
}
},
"nbformat": 4,
"nbformat_minor": 2
}

Xet Storage Details

Size:
163 kB
·
Xet hash:
dd32729aaee1681e07464f992e1397e7e097da8375165e4ab2cc22f1304c4cc6

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