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Last active December 27, 2017 07:46
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{
"cells": [
{
"cell_type": "markdown",
"metadata": {
"toc": true
},
"source": [
"<h1>Table of Contents<span class=\"tocSkip\"></span></h1>\n",
"<div class=\"toc\" style=\"margin-top: 1em;\"><ul class=\"toc-item\"><li><span><a href=\"#clustering\" data-toc-modified-id=\"clustering-1\"><span class=\"toc-item-num\">1&nbsp;&nbsp;</span>clustering</a></span><ul class=\"toc-item\"><li><span><a href=\"#reference\" data-toc-modified-id=\"reference-1.1\"><span class=\"toc-item-num\">1.1&nbsp;&nbsp;</span>reference</a></span><ul class=\"toc-item\"><li><span><a href=\"#Load-data\" data-toc-modified-id=\"Load-data-1.1.1\"><span class=\"toc-item-num\">1.1.1&nbsp;&nbsp;</span>Load data</a></span></li><li><span><a href=\"#drop-category,-item-columns\" data-toc-modified-id=\"drop-category,-item-columns-1.1.2\"><span class=\"toc-item-num\">1.1.2&nbsp;&nbsp;</span>drop category, item columns</a></span></li><li><span><a href=\"#pca\" data-toc-modified-id=\"pca-1.1.3\"><span class=\"toc-item-num\">1.1.3&nbsp;&nbsp;</span>pca</a></span></li></ul></li><li><span><a href=\"#draw\" data-toc-modified-id=\"draw-1.2\"><span class=\"toc-item-num\">1.2&nbsp;&nbsp;</span>draw</a></span><ul class=\"toc-item\"><li><span><a href=\"#KMeans-Method\" data-toc-modified-id=\"KMeans-Method-1.2.1\"><span class=\"toc-item-num\">1.2.1&nbsp;&nbsp;</span>KMeans Method</a></span></li></ul></li><li><span><a href=\"#GMM-EM-Clustering\" data-toc-modified-id=\"GMM-EM-Clustering-1.3\"><span class=\"toc-item-num\">1.3&nbsp;&nbsp;</span>GMM EM Clustering</a></span></li></ul></li></ul></div>"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# clustering\n",
"## reference\n",
"- https://www.kaggle.com/joeberry/pca-and-clustering\n",
"- https://stackoverflow.com/questions/40197998/labels-appending-in-em-clustering-algorithm\n",
"- https://www.kaggle.com/starbucks/starbucks-menu"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Load data"
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"/Users/tela/.anyenv/envs/pyenv/versions/anaconda3-2.5.0/lib/python3.5/site-packages/matplotlib/font_manager.py:273: UserWarning: Matplotlib is building the font cache using fc-list. This may take a moment.\n",
" warnings.warn('Matplotlib is building the font cache using fc-list. This may take a moment.')\n",
"/Users/tela/.anyenv/envs/pyenv/versions/anaconda3-2.5.0/lib/python3.5/site-packages/matplotlib/font_manager.py:273: UserWarning: Matplotlib is building the font cache using fc-list. This may take a moment.\n",
" warnings.warn('Matplotlib is building the font cache using fc-list. This may take a moment.')\n"
]
}
],
"source": [
"import numpy as np\n",
"import pandas as pd\n",
"import matplotlib.pyplot as plt\n",
"from sklearn import mixture\n",
"\n",
"%matplotlib inline"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/html": [
"<div>\n",
"<table border=\"1\" class=\"dataframe\">\n",
" <thead>\n",
" <tr style=\"text-align: right;\">\n",
" <th></th>\n",
" <th>Calories</th>\n",
" <th>Carb. (g)</th>\n",
" <th>Category</th>\n",
" <th>Fat (g)</th>\n",
" <th>Fiber (g)</th>\n",
" <th>Item</th>\n",
" <th>Protein</th>\n",
" </tr>\n",
" </thead>\n",
" <tbody>\n",
" <tr>\n",
" <th>0</th>\n",
" <td>300</td>\n",
" <td>31</td>\n",
" <td>1</td>\n",
" <td>13</td>\n",
" <td>4</td>\n",
" <td>Egg McMuffin</td>\n",
" <td>17</td>\n",
" </tr>\n",
" <tr>\n",
" <th>1</th>\n",
" <td>250</td>\n",
" <td>30</td>\n",
" <td>1</td>\n",
" <td>8</td>\n",
" <td>4</td>\n",
" <td>Egg White Delight</td>\n",
" <td>18</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2</th>\n",
" <td>370</td>\n",
" <td>29</td>\n",
" <td>1</td>\n",
" <td>23</td>\n",
" <td>4</td>\n",
" <td>Sausage McMuffin</td>\n",
" <td>14</td>\n",
" </tr>\n",
" <tr>\n",
" <th>3</th>\n",
" <td>450</td>\n",
" <td>30</td>\n",
" <td>1</td>\n",
" <td>28</td>\n",
" <td>4</td>\n",
" <td>Sausage McMuffin with Egg</td>\n",
" <td>21</td>\n",
" </tr>\n",
" <tr>\n",
" <th>4</th>\n",
" <td>400</td>\n",
" <td>30</td>\n",
" <td>1</td>\n",
" <td>23</td>\n",
" <td>4</td>\n",
" <td>Sausage McMuffin with Egg Whites</td>\n",
" <td>21</td>\n",
" </tr>\n",
" </tbody>\n",
"</table>\n",
"</div>"
],
"text/plain": [
" Calories Carb. (g) Category Fat (g) Fiber (g) \\\n",
"0 300 31 1 13 4 \n",
"1 250 30 1 8 4 \n",
"2 370 29 1 23 4 \n",
"3 450 30 1 28 4 \n",
"4 400 30 1 23 4 \n",
"\n",
" Item Protein \n",
"0 Egg McMuffin 17 \n",
"1 Egg White Delight 18 \n",
"2 Sausage McMuffin 14 \n",
"3 Sausage McMuffin with Egg 21 \n",
"4 Sausage McMuffin with Egg Whites 21 "
]
},
"execution_count": 3,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"macdonald = pd.read_csv(\"./macdonaldmenu.csv\",encoding = \"ISO-8859-1\")\n",
"macdonald = pd.DataFrame({\n",
" \"Item\":macdonald[\"Item\"],\n",
" \"Calories\":macdonald[\"Calories\"],\n",
" \"Fat (g)\":macdonald[\"Total Fat\"],\n",
" \"Carb. (g)\":macdonald[\"Carbohydrates\"],\n",
" \"Fiber (g)\":macdonald[\"Dietary Fiber\"],\n",
" \"Protein\":macdonald[\"Protein\"],\n",
" \"Category\":1,\n",
"})\n",
"\n",
"macdonald.head()"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/html": [
"<div>\n",
"<table border=\"1\" class=\"dataframe\">\n",
" <thead>\n",
" <tr style=\"text-align: right;\">\n",
" <th></th>\n",
" <th>Item</th>\n",
" <th>Calories</th>\n",
" <th>Fat (g)</th>\n",
" <th>Carb. (g)</th>\n",
" <th>Fiber (g)</th>\n",
" <th>Protein</th>\n",
" <th>Category</th>\n",
" </tr>\n",
" </thead>\n",
" <tbody>\n",
" <tr>\n",
" <th>0</th>\n",
" <td>Cool Lime Starbucks RefreshersŠÜ¢ Beverage</td>\n",
" <td>45</td>\n",
" <td>0</td>\n",
" <td>11</td>\n",
" <td>0</td>\n",
" <td>0</td>\n",
" <td>2</td>\n",
" </tr>\n",
" <tr>\n",
" <th>1</th>\n",
" <td>Strawberry Acai Starbucks RefreshersŠÜ¢ Beverage</td>\n",
" <td>80</td>\n",
" <td>0</td>\n",
" <td>18</td>\n",
" <td>1</td>\n",
" <td>0</td>\n",
" <td>2</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2</th>\n",
" <td>Very Berry Hibiscus Starbucks RefreshersŠÜ¢ Be...</td>\n",
" <td>60</td>\n",
" <td>0</td>\n",
" <td>14</td>\n",
" <td>1</td>\n",
" <td>0</td>\n",
" <td>2</td>\n",
" </tr>\n",
" <tr>\n",
" <th>3</th>\n",
" <td>Evolution FreshŠÜ¢ Organic Ginger Limeade</td>\n",
" <td>110</td>\n",
" <td>0</td>\n",
" <td>28</td>\n",
" <td>0</td>\n",
" <td>0</td>\n",
" <td>2</td>\n",
" </tr>\n",
" <tr>\n",
" <th>4</th>\n",
" <td>Iced Coffee</td>\n",
" <td>0</td>\n",
" <td>0</td>\n",
" <td>0</td>\n",
" <td>0</td>\n",
" <td>0</td>\n",
" <td>2</td>\n",
" </tr>\n",
" </tbody>\n",
"</table>\n",
"</div>"
],
"text/plain": [
" Item Calories Fat (g) \\\n",
"0 Cool Lime Starbucks RefreshersŠÜ¢ Beverage 45 0 \n",
"1 Strawberry Acai Starbucks RefreshersŠÜ¢ Beverage 80 0 \n",
"2 Very Berry Hibiscus Starbucks RefreshersŠÜ¢ Be... 60 0 \n",
"3 Evolution FreshŠÜ¢ Organic Ginger Limeade 110 0 \n",
"4 Iced Coffee 0 0 \n",
"\n",
" Carb. (g) Fiber (g) Protein Category \n",
"0 11 0 0 2 \n",
"1 18 1 0 2 \n",
"2 14 1 0 2 \n",
"3 28 0 0 2 \n",
"4 0 0 0 2 "
]
},
"execution_count": 5,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"starbucks = pd.read_csv(\"./starbucks-menu.csv\", encoding = \"ISO-8859-1\")\n",
"starbucks[\"Category\"] = 2\n",
"starbucks.head()"
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/html": [
"<div>\n",
"<table border=\"1\" class=\"dataframe\">\n",
" <thead>\n",
" <tr style=\"text-align: right;\">\n",
" <th></th>\n",
" <th>Calories</th>\n",
" <th>Carb. (g)</th>\n",
" <th>Category</th>\n",
" <th>Fat (g)</th>\n",
" <th>Fiber (g)</th>\n",
" <th>Item</th>\n",
" <th>Protein</th>\n",
" </tr>\n",
" </thead>\n",
" <tbody>\n",
" <tr>\n",
" <th>0</th>\n",
" <td>300</td>\n",
" <td>31</td>\n",
" <td>1</td>\n",
" <td>13</td>\n",
" <td>4</td>\n",
" <td>Egg McMuffin</td>\n",
" <td>17</td>\n",
" </tr>\n",
" <tr>\n",
" <th>1</th>\n",
" <td>250</td>\n",
" <td>30</td>\n",
" <td>1</td>\n",
" <td>8</td>\n",
" <td>4</td>\n",
" <td>Egg White Delight</td>\n",
" <td>18</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2</th>\n",
" <td>370</td>\n",
" <td>29</td>\n",
" <td>1</td>\n",
" <td>23</td>\n",
" <td>4</td>\n",
" <td>Sausage McMuffin</td>\n",
" <td>14</td>\n",
" </tr>\n",
" <tr>\n",
" <th>3</th>\n",
" <td>450</td>\n",
" <td>30</td>\n",
" <td>1</td>\n",
" <td>28</td>\n",
" <td>4</td>\n",
" <td>Sausage McMuffin with Egg</td>\n",
" <td>21</td>\n",
" </tr>\n",
" <tr>\n",
" <th>4</th>\n",
" <td>400</td>\n",
" <td>30</td>\n",
" <td>1</td>\n",
" <td>23</td>\n",
" <td>4</td>\n",
" <td>Sausage McMuffin with Egg Whites</td>\n",
" <td>21</td>\n",
" </tr>\n",
" </tbody>\n",
"</table>\n",
"</div>"
],
"text/plain": [
" Calories Carb. (g) Category Fat (g) Fiber (g) \\\n",
"0 300 31 1 13 4 \n",
"1 250 30 1 8 4 \n",
"2 370 29 1 23 4 \n",
"3 450 30 1 28 4 \n",
"4 400 30 1 23 4 \n",
"\n",
" Item Protein \n",
"0 Egg McMuffin 17 \n",
"1 Egg White Delight 18 \n",
"2 Sausage McMuffin 14 \n",
"3 Sausage McMuffin with Egg 21 \n",
"4 Sausage McMuffin with Egg Whites 21 "
]
},
"execution_count": 10,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"data = pd.concat([macdonald, starbucks])\n",
"data.head()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### drop category, item columns"
]
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"category = data.loc[:, data.columns== \"Category\"].values.flatten()\n",
"item = data.loc[:, data.columns==\"Item\"]"
]
},
{
"cell_type": "code",
"execution_count": 12,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"data = data.drop([\"Category\",\"Item\"], axis=1)\n",
"data.head()\n",
"# data.to_csv('data2.csv')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"scaling"
]
},
{
"cell_type": "code",
"execution_count": 14,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/html": [
"<div>\n",
"<table border=\"1\" class=\"dataframe\">\n",
" <thead>\n",
" <tr style=\"text-align: right;\">\n",
" <th></th>\n",
" <th>0</th>\n",
" <th>1</th>\n",
" <th>2</th>\n",
" <th>3</th>\n",
" <th>4</th>\n",
" </tr>\n",
" </thead>\n",
" <tbody>\n",
" <tr>\n",
" <th>0</th>\n",
" <td>0.052490</td>\n",
" <td>-0.314490</td>\n",
" <td>0.189013</td>\n",
" <td>1.223377</td>\n",
" <td>0.698429</td>\n",
" </tr>\n",
" <tr>\n",
" <th>1</th>\n",
" <td>-0.184054</td>\n",
" <td>-0.355389</td>\n",
" <td>-0.222238</td>\n",
" <td>1.223377</td>\n",
" <td>0.797141</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2</th>\n",
" <td>0.383651</td>\n",
" <td>-0.396288</td>\n",
" <td>1.011514</td>\n",
" <td>1.223377</td>\n",
" <td>0.402292</td>\n",
" </tr>\n",
" <tr>\n",
" <th>3</th>\n",
" <td>0.762120</td>\n",
" <td>-0.355389</td>\n",
" <td>1.422765</td>\n",
" <td>1.223377</td>\n",
" <td>1.093277</td>\n",
" </tr>\n",
" <tr>\n",
" <th>4</th>\n",
" <td>0.525577</td>\n",
" <td>-0.355389</td>\n",
" <td>1.011514</td>\n",
" <td>1.223377</td>\n",
" <td>1.093277</td>\n",
" </tr>\n",
" </tbody>\n",
"</table>\n",
"</div>"
],
"text/plain": [
" 0 1 2 3 4\n",
"0 0.052490 -0.314490 0.189013 1.223377 0.698429\n",
"1 -0.184054 -0.355389 -0.222238 1.223377 0.797141\n",
"2 0.383651 -0.396288 1.011514 1.223377 0.402292\n",
"3 0.762120 -0.355389 1.422765 1.223377 1.093277\n",
"4 0.525577 -0.355389 1.011514 1.223377 1.093277"
]
},
"execution_count": 14,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"from sklearn import preprocessing\n",
"data_scaled = preprocessing.scale(data)\n",
"data_scaled_df = pd.DataFrame(data_scaled)\n",
"data_scaled_df.head()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### pca"
]
},
{
"cell_type": "code",
"execution_count": 15,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"from sklearn.decomposition import PCA"
]
},
{
"cell_type": "code",
"execution_count": 16,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"1.0\n",
"1.0\n",
"1.0\n",
"1.0\n",
"0.999853611732\n",
"0.955429647574\n",
"0.852972616474\n",
"0.708951886458\n"
]
}
],
"source": [
"pca = PCA()\n",
"pca.fit(data_scaled_df)\n",
"all_pca = pca.transform(data_scaled_df)\n",
"\n",
"print(sum(pca.explained_variance_ratio_[0:8]))\n",
"print(sum(pca.explained_variance_ratio_[0:7]))\n",
"print(sum(pca.explained_variance_ratio_[0:6]))\n",
"print(sum(pca.explained_variance_ratio_[0:5]))\n",
"print(sum(pca.explained_variance_ratio_[0:4]))\n",
"print(sum(pca.explained_variance_ratio_[0:3]))\n",
"print(sum(pca.explained_variance_ratio_[0:2]))\n",
"print(sum(pca.explained_variance_ratio_[0:1]))"
]
},
{
"cell_type": "code",
"execution_count": 17,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Reduced dataset shape: (557, 2)\n"
]
},
{
"data": {
"image/png": 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p0kS7du1SvXr1ZFmWHnzwQRUUFGj9+vVq1KiRvv/+e4WFhUmSCgoKFBkZqZ07\nd/r4rC5MjRo1NHLkSL344ngCGJekcl2QZVlWU0mxkr4qz+MCAHxv13/+o6tPhW2ApMjcXO3YXuaH\nflqwYIEiIiK0du1a3X777erevbskac2aNYqJiZHb7VafPn00ZcoU1apVq7JPocL9pm1bRRw9qlGS\n+ti2XnrxRc2YMUP5+flavHixMjMz1bBhQx04cECSNH/+fDmdTkVFRSkhIUH//Oc/VVBQoD179mjb\ntm06ePCgmjdv7tuTAqqoi14O4T3QyaUQKyX9xbbtlLM8bz/33HPexzfffDPfGQLAZaTTjTfK/6uv\n1LG0VAWSZlWrpglvvcX1XU/xeDzy9/PTnyQFSvpB0tuSih0OBQYGqkaNGnriiSf073//Wx999JEK\nCgoUGBioDh06aPr06QoPD9eAAQM0d+5cORwORUZG6u9//7t69Ojh2xMDLgMrV67UypUrvY/Hjh37\nP5dDlEsEW5blL+lfkj62bTvpF/ZhTTAAXMYyMjJ0y003KffIEZ0oLtZ9gwbptWnTylzx4HLyyiuv\n6K233pLD4VB0dLTeeecdbdu2TQ8//LAKCgoUEBCg119/XXFxced9zECHQw/YthpJ8uhkBCcMG3bZ\nXuoMuFydz5rg8orgZEmHbdsecY59iGAAuMwVFxdr9+7dql69uho1unw//rF//3517NhR27dvV2Bg\noPr166cePXpo1qxZGjlypLp27aqPP/5YEyZM0IoVK877uI899pjemDRJbSQdkJTjdCrzhx8uyw+2\nAZez84ngi75OsGVZN0oaIGmLZVmbJNmSnrZte/HFHhsAcGkJCAjw3unrcldaWqrc3Fw5HA7l5eWp\nUaNGcjgc3useHz169FeH/quvvqp27dpp7ty5ig0P18svv0wAA5eoclsT/D/fiJlgAMAl5NVXX9Wf\n//xnOZ1Ode3aVTNmzND27dt12223ea99/MUXXygiIsLXQwXwK1XKJdIAALgcFBcXKy0tTTt37lR2\ndrZSUlKUkZGh/fv3Kzc3VzNnztSUKVOUlJSkffv26ZVXXtHgwYN9PWwAFYSZYABAlffDDz/oN7+5\nRd9/f0QeT5FatGii666L1VtvvSVJmjFjhtauXatZs2YpOzvb+7oaNWqc922hAVw6mAkGAEDSQw/9\nP+3dG6YTJ4YqL+8Rbd/+o1JTU1VQUCDbtrVs2TK1atVKDRs21KpVqyRJy5Yt09VXX+3jkZ/J4/HI\n7XYrISH7njQwAAAgAElEQVShzPaJEyfK4XDoyJEj3m1paWnq0KGDoqKiFBMTY8StqoHzddEfjAMA\n4FKXlvatios7SrIk+auwMFp16mTK5XIpICBALpdLQ4cOVWxsrB5//HGVlpYqODhYb7zxhq+Hfoak\npCS1atVKx48f927LysrS0qVL1aRJE++20tJS3XfffZo5c6aioqKUnZ2tgIAAXwwZuCQxEwwAqPKi\nolrK33+HTl7AqFQhIf/RoEEDtW3bNqWlpendd99VQECAbrzxRm3YsEGbNm3Sl19+KZfL5euhl5GV\nlaXU1FQNGTKkzPbhw4crMTGxzLYlS5YoJiZGUVFRkqSwsLDL9prOQEUgggEAVd60aZMVGXlQoaFv\nyumcog4dmujxxx/z9bB+tdOx+9OYTUlJUUREhKKjo8vsu3PnTklSt27dFBcXd0YkA6ZjOQQAoMpr\n0KCBtm37Rlu3blVwcLBatmx52cyKpqam6l8pKTpy9KiqV6+u2NhY7+1h8/PzNX78eC1duvSM15WU\nlOjzzz/Xhg0bFBwcrFtuuUVxcXHq1KlTJZ8BcGkiggEARggMDJTb7fb1MH6VqVOm6Nknn5QrL09b\nHA4d1MkP7BUWFionJ0eDBg3S3r17FRMTI9u2lZWVJbfbrXXr1qlx48a66aabFBYWJknq0aOHNm7c\nSAQDp3CJNAAALlEN6tTRHT/+qAanHi8ICdHvJ0xQdHS0Jk6cqIULF5bZv1mzZtq4caPCwsJ09OhR\ndenSRWvWrJG/v7+6d++uESNGqHv37pV/IkAlq5TbJgMAgIqRX1Cgaj95HFJSovz8/F/c/9QXfklS\nzZo1NWLECMXFxcnhcKhnz54EMPATzAQDAHCJevB3v9Oa999XfH6+fpS01OnUF+vXq1WrVr4eGnBJ\nYyYYAIDL2OSpUzX6iiv0r5QUhYWFaeGkSQQwUE6YCQYAAECVwm2TAQAAgLMgggEAAGAcIhgAAADG\nIYIBAABgHCIYAGA0j8cjl8ulhIQESdLYsWPVuHFjud1uud1uLV68WJJ05MgRde7cWaGhoXrsscd8\nOWQA5YBLpAEAjJaUlKTWrVvr+PHj3m0jRozQiBEjyuwXHByscePGaevWrdq6dWtlDxNAOWMmGABg\nrKysLKWmpmrIkCFltp/tkp5Op1MdOnRQUFBQZQ0PF8Hj8cjtdntn+CVp0qRJatmypaKjozV69GhJ\n0vr16+Vyuby/FixY4Ksho5IxEwwAMNbw4cOVmJioY8eOldk+efJkzZgxQ3FxcZo4caJq1KjhoxHi\nQiUlJalVq1beGf4VK1boo48+0pYtW+Tv76/Dhw9LkqKjo/X111/L4XDowIEDiomJUUJCghwO5gmr\nOv6EAQBGWrRokcLDwxUbG1tm5nfYsGFKT0/X5s2bVb9+/TOWReDSd7YZ/qlTp2r06NHy9z85/1en\nTh1JJ5e5nA7e/Px84tcg/EkDAIxx5MgRDR40SNe7XHrm6ae1YMECNW/eXPfee6+WL1+uQYMGqW7d\nurKskzeaevDBB7V+/Xofjxq/1ukZ/tN/jpK0c+dOrV69Wtdff706deqkDRs2eJ9bt26doqKiFBMT\no6lTpxLChuBPGQBghOLiYnXu2FHbZs/WNZs3K3D7djWsU0e7du3S7Nmz1blzZyUnJ+vAgQPe18yf\nP19RUVFnHOtsa4ZxafilGf6SkhJlZ2dr7dq1mjBhgvr27et9rl27dtq6davWr1+vF154QUVFRb4Y\nOioZa4IBABfE4/EoLi5OjRs31sKFC5Wdna1+/fopIyNDTZs21Zw5c7xradPS0vTwww/r+PHj8vPz\n0/r16xUYGFip492yZYsOZWbqweJiWZKaFhVp6u7d2rFjR5n9Ro0apc2bN8vhcKhp06aaNm2a97lm\nzZopJydHRUVFSklJ0ZIlS3TttddW6nngTMuWLdOjQ4fqx+xs1QkP1/ETJ5Samqr8/Hzl5ORo0KBB\nioiIUO/evSVJbdu2lcPh0I8//qjatWt7j3PNNdfoiiuu0NatW+V2u311OqgkzAQDAC7I6Q8enfbi\niy+qS5cu2rFjhzp37qzx48dLkkpLS3XffffpjTfe0NatW7Vy5UoFBARU+nj9/PxUats6PTdoSyq1\nbfn5+Sk+Pl4LFy6UJCUnJystLU2bN2/WggULFB4e7j3Gnj17dPjwYR0/flz79u0jgC8B27ZtU5+E\nBLnS03VvdraC9uxR29hYpaenl5nhv+OOO7R8+XJJJ5dGFBcXq3bt2tq7d69KS0slSRkZGdqxY4ea\nNm3qwzNCZSGCAQC/2tk+eJSSkqL7779fknT//fd7LzW1ZMkSxcTEeJcVhIWFlVmrWVmioqJ0dVSU\nFgYHa4ukBSEhir3uOl199dWVPhaUn6VLl6plaamulhQm6bbCQqV+8skZ+w0ePFjp6emKjo5W//79\nlZycLElas2aNYmJi5Ha71adPH02ZMkW1atWq3JOAT7AcAgDwq53t0mI//PCDd9a0fv36OnjwoKST\ns26S1K1bNx0+fFj9+vXTU089Velj9vPz0+Lly/XXv/xFWzZt0m/j4vT0M8/4JMhRfqpXr67j/v6y\nCwtlSTom6YqQEElSfHy84uPjJUkBAQGaMWPGGa8fOHCgBg4cWIkjxqWCCAYA/Co//eDRypUrf3G/\n03FZUlKizz//XBs2bFBwcLBuueUWxcXFqVOnTpU04v9yOp3666llGqga7r77br30wgv6MDNTtQoK\ntMXp1PiXXvL1sHAZIIIBAP/T119/rUcGD9b+779XaFiYcnJzy3zw6L777lP9+vW9s8EHDhxQvXr1\nJEmNGzfWTTfdpLCwMElSjx49tHHjRp9EMKqeatWqae3GjXrzzTd16OBB/V+XLurcubOvh4XLAGuC\nAQDntH//fnXt1EmN09LU+9AhVd+7Vy2aNi3zwaMZM2aoV69emj59uiTp3Xff1R133CFJuu2227Rl\nyxYVFBSopKREq1atKvOBOuBiXXHFFXriiSf01xdeIIBx3pgJBgCc06pVqxQpKebU49uKivS3r75S\nbm5umf1Gjx6tvn376u2331aTJk00Z84cSVLNmjU1YsQIxcXFyeFwqGfPnurevXvlngQA/IxVWRf8\ntizL5uLiAHD5+eijjzS8f38NPHFClqQcSZP8/ZWbn++9BS0AXEosy5Jt2+f81CvLIQAA53Tbbbep\n1pVXal5wsD6TNKtaNf35z38mgH9BYWGh2rdvL5fLpejoaI0dO1aS9M033+iGG26Qy+VSu3btvLft\nzcjIkNPplNvtltvt1rBhw3w5fMAYzAQDAP6n/Px8TZs2TZkZGep400268847fT2kS1peXp6cTqdK\nS0t14403KikpSc8++6xGjhyprl276uOPP9aECRO0YsUKZWRkqFevXkpLS/P1sIEq43xmgvk2HgDw\nP4WEhOiJJ57w9TAuGR6PR9ddd50iIiK0cOFCffDBBxozZoy2bdum9evXe2+5W1hYqOPHj+vBBx/U\nnj17tGPHDu3cuVNHjx5Vo0aNvMdjkgiofEQwAAC/UlJSklq3bq3jx49LkqKjo/Xhhx/qoYcekvTf\nSN69e7dCQkK0fPly+fv769Zbb9WVV14pSfriiy+8x9u7d6/cbrdq1Kihv/zlL+rYsWPlnxRgGNYE\nAwAuOR6PRy6XSwkJCZKkUaNGqWXLloqNjVWfPn288XnkyBF17txZoaGheuyxxyplbGe7ZXS9evX0\nySefKCMjQ//5z3/kcDi0adMmTZ8+XX5+frIsS1OmTNGkSZOUmZmpV155RYMHD5YkNWjQQPv27dPG\njRs1ceJE9e/fXydOnKiUcwFMRgQDAC45p2daT+vatau+/fZbbd68WS1atND4U3d9Cw4O1rhx4zRx\n4sRKG9vpW0afviPejz/+KHd0tN566ikd3rNHgwcN0ooVKySdDObw8HD16dNHr732mnbt2iVJuuuu\nu7Ru3TpJUmBgoPdGIm63W1deeaX3VtMAKg4RDACoFD+f3f3ggw8UFRUlPz8/bdy40bvfpEmT9Oyz\nz+qrr77SqlWr5Ofnp3r16snhOPkl6/rrr1dWVpakk7dB7tChg4KCgip07IWFhcrJySlzy2jbtmXb\ntl6bPFl1Dh7UbwsKVMu2dV1BgR5/+GFJJz9QuGPHDo0dO1YtWrTQu+++qxUrVmjZsmW6+uqrJUmH\nDx+Wx+ORJKWnp2v37t1q3rx5hZ4PANYEAwAqyf9aR3va6tWr9dlnn+nYsWMaM2aMsrKy1KZNG+/z\nb7/9tu65555KGbNt2xo9apT+/ve/y5IUXr++PFKZW0bv3rVLjYuLva8JlLQjPV2xsbE6cuSIWrZs\nqX79+qlx48bq27evBg4cqMjISL3xxhve83322WcVGBgoh8OhadOmqWbNmpVyfoDJmAkGAFS4s62j\nveaaa9SiRQvZtq3MzEx9++23WrhwYZmZ1qysrDLB+9e//lUBAQHq379/pYz7vffe06wpU/R4SYlG\nlZSo3sGDuvnGG8vcMjrp1Ve12enUfkklknYHBWnI73+vzZs3Ky0tTQ6HQwUFBWrfvr1atWqlN998\nU19++aVcLpckqXfv3tq6das2btyoDRs2qEePHpVyboDpmAkGAFS40+tojx07VmZ7cXGxtqSl6b5+\n/eQMCJAnKEiBwcHemdYffvjBe/3c6dOnKzU1VcuXL6+0cX+2cqVa5+aq2qnHbYuKtHjNmjL7dO3a\nVXfff7+mTZsmj8ejEIdDu/fskVS1bhn9yiuv6K233pLD4VB0dLTeeecdBQYGatKkSXr99dfl7++v\nnj176sUXX/T1UIHzQgQDACrEli1btGTJEu3du1e1atVSbGysVq5cWeaauEl//7vyjx7VvR6PGhcW\n6tPCQkXcfLPe++ADTZ06VaNGjVJKSooWL16sxMRErV69+hfX/1bEtXabNG+uL4KCZBcWypKUaVlq\nfOr6vvHx8YqPj5ckvf7663r99dfPeoz+/ftX2sx1Rdm/f78mTZqk7du3KzAwUP369dPs2bMVGRmp\njz76SFu2bJG/v78OHz7s66EC540IBgCUu08++UT97rxTrUpLtcvj0VHb1pIlS1RQUKCcnBwNGjRI\nycnJ+mbDBoV4PPKTZElqWVysLzdvliQtX75cjRs3liQ9+uijKioq0q233irp5IfjTkdns2bNlJOT\no6KiIqWkpGjJkiW69tpry+U8Hn30UX0wa5Zm7NmjKyxL+x0OrXjrrXI59uWmtLRUubm5cjgcysvL\nU8OGDTVlyhSNHj3aewvtOnXq+HiUwPkjggEA5e6JRx7R7fn5aiHpNkkfBgfrgccfl8vl0sSJE5Wc\nnCxJahUTo/kffCCPxyNb0k5/f7WMipJt2/riiy+05tTSg9OXFjubPaeWHlSEatWq6fP16/Xpp58q\nLy9P8fHxqlevXoW936WqYcOGGjlypCIjI+V0OtW1a1d16dJFTz31lFavXq2nn35aISEhSkxMVFxc\nnK+HC5wXIhgAUO6yjx7VT+cEaxYU6PChQ2X2WbBggV57/XUVSHrbshTocKhJRITenzpVq1evVmRk\npJo2bVqZwz6roKAg9ezZ09fDqHSHDh3S+++/r+LiYnXq1EkpKSnKyMhQjRo1dPfdd2vmzJkqKSlR\ndna21q5dq/Xr16tv375KT0/39dCB82JV1v3KLcuyuTc6AJhh0L33asuCBbq1oEDHJM1zOjX/4491\n0003nbGvx+PR1q1bVVRUpOjo6Aq/5i/+t++++04uV1vl5DSQxxMgh2OrunW7VR9++KEkacaMGVq7\ndq327NmjP/7xj9610VdddZW++uor1a5d25fDB2RZlmzbts61DzPBAIByN+XNN/X7oiJN+fhjVQsJ\n0csvv3zWAJYkh8NR5jrA8L3x4ycoO/tKlZR0ObUlQEuWLFVBQYGCgoK0bNkytW3bVjExMVq+fLni\n4+O1c+dOFRcXE8C4bBDBAIByV61aNc2eN8/Xw8AF+uGHQyopCfvJlqtUrdpuuVwuBQQEyOVyaejQ\noZKkwYMHe2fwT6/1Bi4HLIcAAABlzJw5U0OHPqW8vN6SguR0fqTHH++nF174i6+HBpyX81kOQQQD\nAIAybNvW3/6WqPHjJ6ikpFj33XefJk/+u/dSaMCl7nwimNsmAwCAMizL0ujRo3Ts2GHl5h7T1KmT\nyy2APR6P3G63EhISvNsmTZqkli1bKjo6WqNHj5YkHTlyRJ07d1ZoaKgee+yxcnlv4Kf4lg4AAFSa\npKQktWrVSsePH5ckrVix4qx3nQsODta4ceO0detWbd261ZdDRhXFTDAAAKgUWVlZSk1N1ZAhQ7zb\npk6deta7zjmdTnXo0IFL5qHCEMEAAFxCCgsLFRQUpJCQEIWEhKhRo0aSpE6dOsnPz09Op1NOp1Pj\nxo2TdHLZQLt27eTn56fatWsrJiZGRUVFvjyFXzR8+HAlJibKsv67VHPnzp1avXq1rr/+enXq1Ekb\nNmzw4QhhEiIYAIBLSFBQkBo2bKj9+/frxIkTioiI0Lp16yRJt99+u/Ly8pSXl6dnnnlGkhQQEKDs\n7Gw988wzGjBggFauXKmAgABfnsJZLVq0SOHh4YqNjdVPPyj/07vOTZgwQX379j3jtZs2bVJUVJTa\ntGmjAQMGlIn8iRMnyuFw6MiRI5VyHqg6iGAAAC5BHo9HhYWFKikp8c6cejyeM/Zbs2aNbrjhBjVv\n3lySFBYWVmam1dfenT5dba6+WvcPHKhZM2eqefPmuvfee7V8+XINGjRIERER6t27tySpbdu2cjgc\n+vHHH72vz87OVlpamjZu3Ki0tDSVlJRo9uzZkk4ur1i6dKmaNGnik3PD5Y0IBgDgEmNZliIiIhQa\nGqq6deuqbdu2kqTFixcrJCRE11xzjfbt2yfp5HICSXrppZf0/vvvKzEx0Wfj/rl58+bpqT/8Qa5d\nu5Rw9KhCioo0+o9/1OzZs9W5c2clJyfrjjvu0PLlyyXpF+865/F4lJubq5KSEuXl5alhw4aS/ru8\nArgQRDAAwGhnu2SXdOaP2YuLizV48GC1adNGLpdLq1atuqj3dLlc3vccNWqUWrZsqdjYWPXp00eL\nFy9WXl6etm3bpk8//VSRkZHKzMzU2LFjlZ+fr7p166pLl5O3NC4pKdHnn3+uRx55RH369NGHH36o\nFStWXPDYytM/335bN+blqbmkJpLi8/L0z7ffLrPP4MGDlZ6erujoaPXv37/MXeeaNWumcePGecM4\nPDxcNWvWVJcuXZSSkqKIiAhFR0dX7kmhyuASaQAAo/38kl3S2X/M/o9//EOWZSktLU2HDh1S9+7d\nL/hDXElJSWrdurX3PZs0aaLjBw/q2LFjSt+1S5999pkaNWqkw4cPKygoSC6XS08//bTi4+M1Y8YM\n1a5d2zsTXL9+fTkcDo0fP14FBQVKSEjQxo0b1alTp4v4r1I+rggN1Q8/eZwryVmtmuLj4xUfHy/p\n5JrmGTNmlHmdx+PRzJkzNWjQIF111VWaPn265s6dqxo1aujuu+/WjBkz9Nprr2np0qXe13BDLvxa\nzAQDAIx1tkt2SWf/Mfu///1vde7cWZJUt25d1axZ84Ii+OfvefToUT31+OO68sgRDSwtVZ28PP14\n6JC+/PJLPfPMM8rNzVW9evV0//33Kzw8XF9++aXy8vIUHBwsSfr++++VnZ2tZ599Vr169dLcuXPV\nqlWrC/nPUe6eevppra9WTcslrZK0yunUM88/f87X2Lat3r376ZFHntPzz6/Ugw8+oQMHDqpWrVry\n8/PTnXfeqXfeeUd79+5VTEyMmjVrpqysLF133XU6ePBgpZwXqgZmggEAxjodu8eOHfNu+6Ufs8fE\nxGjhwoW65557tG/fPn399dfKzMxUXFzcRb3nvHnzFFJaqltOPV8oySOpRo0asixL/v7+mjdvnrKz\ns+Xv768GDRooNDTUez3dvXv3qrCwUI888ohs25ZlWcrNzb3Q/yTlqk2bNvp83Tq99cYbKikp0UuD\nB8vtdp/zNZs3b9ann65Sbu5QSQEqLGyibdv+qYyMDEVGRmrZsmXq06ePdx2xdHLZxMaNGxUWFlbB\nZ4SqhJlgAIBRMjMztWHDBs2dO/eMS3bl5+dr/PjxGjt2rHf/088NHjxYjRo1Utu2bTVixAjdeOON\n8vPz+1Xv/fPLhNm2rdDQUBVKKpW0WlKopEBJkZGR8vPz0zXXXKPDhw+rXbt2Cg8P17Zt2zR69Ggd\nOnRI0sk479GjhwoLC7V7926Fhob+6nFVpFatWmni/2fvvqOiurYHjn9n6FWxgSCC2EDp2DUa0FjR\nxBrLU6NgYtQUNSG2ny15UZ8heZrYY4mmKLEAxhJFxRpFRcACoiIiGlREQJihzMz5/YHMC8EkxghY\nzmct1vLO3HLOxbXYc2bfvf/7XxZ99dVfBsAAOTk5GBpWB0rLvDXE0NCcgIAAvLy8EELw5ptv6vfX\n6XTcvHmToUOHAiXVJLp27UrTpk3p1q2b/sPGk8zplp4PciVYkiRJemHMmjGDL0JDqWFszO3CQqyr\nV2fnzp2o1Wru37/PiBEj9F+zCyH0X7PHxMRQp04dPv/8c/252rdvT5MmTQBwdnamWrVqKJVKjIyM\n9HV9oSSIXrNmDbsjI0m5fp2MW7fKXLNatWpYVq/OsuxstIAFYGdry8WLFxk7dixHjhwhKSmJDRs2\nEBAQQOfOnXnjjTcwNjYGSoLzxMREWrZsiZOT02MF508THx8fDAxygNNAEwwM4qlbty5JSRceWv94\n0aJFDBw4UJ9fPX/+fLp06UJISAgLFixg3rx5zJ8//4nmdEvPidJPohX9U3IpSZIkSaoaR44cEbUt\nLMQHIGaDGATC0c5OCCFEdHS06N27d7ljnJ2dRWZmpvD29hY9e/YU+fn54sMPPxSOjo7CwsJC9OvX\nT+Tk5IgGDRqIrKwsER8fL9q2bSuaN28uPD09RWFhoZg5Y4aoZ24uXgPR3tBQONSpIzIzM8tcc+rU\nqQIQJiBMDA1FVFSUEEKIBQsWCF9fXxEaGiry8vJEs2bNxNmzZ0VycrJo3br1Q+fZrl07kZiYWEF3\nsXKcPXtWuLv7CUtLG9GmTUeRmpr60P2uX78uunTpIg4cOKC/l02bNhUZGRlCCCF+/fVX4erqKoQQ\nYvz48eLbb7/VH9u5c2dx8uTJCp6JVFUexJ1/GpvKdAhJkiTphZCYmIizEFg+2HYDbty6RWFh4R8e\no1AoWLZsGc2bN6ewsBBfX1/CwsJo2rQpiYmJNG7cmE8//RQhBMXFxQwfPpyVK1dy7tw5oqOjMTQ0\n5PPQUAaoVHgDr2g01MrLY9u2bfprZGRksGD+fCwAG8BUo6FXjx6o1WpGjx5NWloaixcvpkWLFgQF\nBdGsWTM++eQTxo4dC5SkcKhUKgD27t2LkZERrq6uj3xfgoKCsLW1xdPT8+/d0Ark7u7O2bOnuH8/\ni19+OfiHzTAe1ob51q1b2NraAiWVM27dKqlPUZrTrdVquXr1qj6nW3pxySBYkiRJeiG4urqSqlBQ\n+shYEuBga4uJiQmdOnUiMjKy3DGHDh3i4MGDBAcHY25uTlJSEqmpqezduxdHR0fatGnDjRs3UCgU\ntG3blhs3bvDLL78A/+vcptFq+e2X+EY6HcXFxfprXrhwgcbW1nwIjAWGAlqtFl9fXwICAnj//fdJ\nTU3l7bffZsWKFTRr1gwHBwfeeOMNAG7fvo2vry/Nmzdn4cKF5cqN/ZVRo0bx888//827WfX+qA3z\n75UGyE8ip1t6vij+7D/OE72QQiEq61qSJEmS9DD/N20ai7/4ghrGxuQpFOzYs4dWrVr94f4DBw5k\n+vTp5OTkEBoaWi5Q7tOnD0OGDOHll18mLCyMo0ePsnv3buzt7QkKCuLDDz/kraAgojdupK1KxW2F\nghOWlsRfuEC9evUAuHz5Mi08PQlWq7EC7gJrTU25/uuvVK9evQLvxv9cu3aN3r17k5CQUCnX+ydW\nrlzJ8kWL+PXOHYp1OqytrfX51X379uXUqVNER0dja2tLRkYG/v7+JCYmljtP+/btWb169d9aNZee\nHQqFAiHEn/YPlyvBkiRJ0gvj408/5ezFi4RFRXElLe1PA+CHVXIodf78eRo1asrBg4eJjz9HrVq1\n0Gg0nD59mnHjxjFq1Ch957avli9n0Hvvcd7DA0Xnzhz65Rd9AAzQqFEjPpwyhTXm5myxtmaDuTlf\nLF5caQHws2TNmjXMmjgRjwsXCLhzB6FW8+WXX+rbMG/YsIHevXuzbt06AL755hteffVV4J+njUjP\nH7kSLEmSJEkPbN26lfFvvklWTg72detSrNNhbGysX2ns168fn376KY0bu1JQYAQEYmp6gv7929G7\ndw9++uknUlJSmDVrFjExMZiZmTF58uRHuvbZs2e5cuUKzZo101edqAhCCLZu3cqJEzG4uDQgKCiI\nmzdvPhMrwR1btaLeyZM0fbAdC5i8+irjJ07Ur9RnZWUxaNAgrl+/jpOTE2FhYVSvXp1r167RrVs3\nDAwMcHBwYPXq1Tg6OlbldKQK9CgrwbJEmiRJkiQB8fHxBA0fTj+VClvgQEYGlu3asTc6moMHDxIa\nGsr69et55513KCzUAuMBcwoKzPnuu1XEx5/m8uXLTJs2jYCAABYuXMikSZPKXUen09GiRQvq1atX\nJr3Cw8OjXIOOihASMpVly74lP78J5uYRfP/9ZtatW1nh130STExNKfjNdgFgbWpapg1zjRo1iIqK\nKnesk5MTSUlJlTNQ6Zkg0yEkSZIkiZKH4Nx0OuoDJkBAcTEHjxwp99BVWFgYJa0t1gPLgeOYmpqT\nkJDA6tWr2bRpE76+vrRo0YIePXqUu86iRYuqrK3x/fv3WbRoEfn5Q4FOqFSDOHPmIidPnvzTh8ue\nFlNnz2a/mRnHKGksEmNhwaSPPqrqYUnPKBkES5IkSRJQs2ZNMg0M0D3YvgNUt7JCoVCUqR6RmJhI\n7TRgkDYAACAASURBVNp1MDRsCLTB3DyLSZMmolAoGDp0KOfOnSMhIYF58+aVu0Z6ejo7d+4kODi4\n0ub1W/n5+RgYGAPmD14xoKAgl3HjxpGcnEz9+vVZu3ZtlYztUQQEBLBr3z6cRo2iyZgxHDx2DB8f\nn6oelvSMkjnBkiRJkgQUFRXh3749mYmJ1Cou5oKBAcvXruX1118vt++vv/7Kxx9/ys2bt+jduxuj\nR48uU6v2j/xVtYmKJoTAw8OPixct0Gj8gKtUq3aMy5cTqVWrVqWORZIqkqwOIUmSJEmPyNjYmANH\nj/J/y5czYP589h058tAAGKBu3bosXfolW7du5KuvvtJXINi8eTPu7u4YGBgQGxur3z8rKwsvLy8i\nIiJYs2ZNuWoTlUWhULBv3y5eftkaG5uNeHr+ysGDUTIAll5IciVYkiRJkh7TF198QUxMDLt378bZ\n2Zn8/Hy6d+/OuXPn+Oyzz/D19SU8PJxly74mMfEc2dlZKBQKzM3N9dUm1q9fXyFj2717N++//z46\nnY6goCA+krmz0gtErgRLkiRJUgUpze996623aNeuHWfOnCExMZGYmBhycnIA+Pbb7xg2bAx79hhx\n/bobhYUaevXqpa9rW1EBsE6nY8KECfz888+cP3+eH3744YWrjKDT6fD19aVPnz7617788kvc3Nzw\n8PBgypQpZfZPS0vDysqKzz//vLKHKlURGQRLkiRJ0mOYOHEiCxcuRKFQ6NvvFhYWotFo9PnB8+Z9\njkrVHfAG2lBU5MzZs+cqfGwxMTE0btwYJycnjIyMGDx4MBERERV+3Sfh7wSv8+bNo3Hjxri5ubFn\nz54y5/l9FY4DBw6wfft2zp49y9mzZ/nggw/K7D958mR69uxZQbOSnkYyCJYkSZKkv+n33eR0Oh0+\nPj7Y2dnxyiuvYGVlBYAQOsr+qVWg04ky1SYqwo0bN8o0gqhXrx43btyosOs9SY8avCYmJhIWFkZi\nYiK7du1i3Lhx+jzrh1XhWL58OVOmTMHQsKRFwm/zoCMiInBxcaF58+aVMUXpKSGDYEmSJEl6BDqd\njoX/+Q8dW7dm0nvvsWXLFlxcXBgyZAjR0dF4eHiQnp7OiRMnyM/PB2DixHGYm/8MJAKxGBldxd29\n4moEa7Varly5wr179yrsGhXp7wSvERERDB48GENDQ5ydnWncuDExMTFA2VX6UsnJyRw6dIg2bdrg\n7+/PqVOngJKycf/5z3+YNWvWM1ErWXpyZMc4SZIkSXoEUz/6iLClS2mnUmEO7Ad0Bkb4+bWiZk1r\nfX6vv78/33zzDUIIxowZg7GxCStXfoOZmQmtWr3P/fv3K2R8t27dwt+/G9eupVNcrKJWLRt0Oh1K\npZL09HQcHBwq5LpPUmnwWppTDf8LXqdNm4aZmRmfffYZfn5+3Lhxg7Zt2+r3c3Bw4MaNG2VW6aOj\no/XvazQa7t27x/Hjxzl58iSDBg0iJSWF2bNnM3HiRMzNS2ony0D4xSGDYEmSJEl6BF+vWMFwlQqb\nB9u3UBKn7Uhs7FVq1UoBYNOmTXzyyScABAYG4u3tza5duxg5cgQNGjQgLi6GoqIiIiIi2LNnD66u\nrk9sfMHBb3P5shXFxROAAjIyQlm4cCETJ05k48aN/PDDD0/sWk+SEIK8vDwOHjz4SMHrwIEDSUlJ\nKXOOtLQ0ft61ix3h4Vjb2JCvVrNz507UajX3799nxIgRODo60q9fPwBatmyJgYEBd+/e5cSJE2zZ\nsoWQkBDu3buHgYEBZmZmjBs3rjJvg1QFZBAsSZIkSY9AoVDou8kBaFEAhmg0bblzZxPe3t7odDpm\nzpzJ9OnTyx1/9erVCh1fbGwcxcXdAQVghhCezJs3j6+//pqgoCDc3Nwq9PqPY+/evQweMIB8lQpj\nExMsrKweOXh1cHAgLS0NlUrFy+3bo7p5k07Andxcsl1cOHPuHEePHiU0NJT169ezYsUK9u/fT6dO\nnUhOTqaoqIiaNWty6NAh/XjmzJmDlZWVDIBfEDInWJIkSZIewbsTJ7LN3JyzwAEgESOgOaCjQYOm\nxMXFkZCQ8NAA+J9IT08nICCA5s2b4+HhweLFix+6X+PGjVAqLz/Y0mJmpmL27NlcunSpXDmwp0FG\nRgaD+valT24uUzUauubng0ZDUlJSmRJyr776Kvv37wcoE7z26dOHTZs2cfLkSYqysxGAJ9C5uJjb\n6elcvny5zPVGjx5NSkoKHh4eDB06tMLK00nPDtksQ5IkSZIegRCCVStXEh4WxomTp1FragG1UCiS\n+Omnbfj7+1fIdTMyMsjIyMDb25u8vDz8/PyIiIgol0qRkpJC+/Yvo1IZo9Xm06KFO3v27MDY2LhC\nxvVP7d27l3cHDmTwb/J/l1hYcCwujhs3bujbShcXFzN69Gji4uIwMTEhNDSUTp06ASUl0pYuXcqv\nN27wuhA0AYqBr0xNiU9KwsnJqWomJ1W5R2mWIYNgSZIkSfqbVCoVW7Zs4f79+3Tu3JmmTZtW2rVf\ne+013nnnHTp37lzuvby8PGJjYzEzM8PPzw+l8un9wvfcuXN0at2aMSoVZsA9YJWJCTdv3cLKygo/\nPz8cHR2JjIxk5syZREREoFQqsbW1Zd26ddjZ2XHt2jXc3NwwNDCgKD8fWyEwMTfHt3t3fti8uUx1\nCOnFIoNgSZIkSXqOpKam8vLLL3Pu3DksLS2rejj/2Afvv8+Gr7+mnkJBqk7H3PnzGf/OO3zxxRec\nPn2a3NxcIiMjycvL08/3yy+/5MKFCyxbtoxr167Ru3dvTp06xZIlS0g8exbvFi1466239A1MpBfT\nowTB8sE4SZIkSXoKabVabt++Tc2aNTE2NiYvL48BAwawaNGi5yIABvjsv/+l36BBXLlyBU9PT7y8\nvPS1gqdPn65vYfzb+ebn55dZ4RZCYGxszMSJEyt9/NKzTQbBkiRJkvSUOX78OD17vopaXYhSKdiw\nYS0rV65k+PDhvPrqq1U9vCeqXbt2tGvXTr/9sFrBADNmzGD9+vVUr16dAwcO6F9PTU3F19eXatWq\n8fHHH9OhQ4dKG7v0bJPpEJIkSZL0FCkoKKBu3fpkZ3cGXIF0DAy+YfToN1i5cmVVD69ClJY6S05O\nZs+ePXz11VdER0cTGhrK9u3by+y7YMEC1Go1s2fPpqioiPz8fGxsbIiNjeW1117jwoULz81KufT4\nHiUd4unNmJckSZKkZ4hOp8PHx4c+ffoAEBISgpubG97e3vTv35/c3Nwy+6elpWFlZaX/yr/U9evX\n0WiUlATAADq02mL27duHj48Pvr6+7N69uxJmVPF0Oh3DhwzBo2lTOrVoweg33mDbtm36dtQHDhxg\nxIgRZY4ZOnQoW7ZsAcDY2Bgbm5L2Jb6+vjRs2JDk5ORKn4f0bJJBsCRJkiQ9Af/973+5du0aMTEx\nQMnX9KXfgJ47d47Zs2cDcPLkSXx8fPD09MTQ0JCzZ8+WOY+trS3FxXlA5oNXamBmVp0dO3Zw5swZ\nYmNj6d69eyXNqmKtWbOGXyIjmVBQwNv5+TS/fx8/Dw9SUlLK1Ar+bc3f8PBwfeOPzMxMdLqSFiYp\nKSlcvnwZFxeXKpmL9OyROcGSJEmS9A+lp6ezYsUK/Pz89EHtm2++SUBAAEqlkn79+rFnzx4APDw8\nmDlzJsePH0cIwbJly1i9erX+YS9ra2uWLFnMO+9MwsjICY0mncmT33+iLZafFmdOnaKhSkVpJWN3\njYadCQnl9psyZQrJyckolUqcnJxYvnw5AIcOHWLmzJkYGxujVCpZsWIF1atXr8QZSM8ymRMsSZIk\nSf9QYGAgmZmZDB48mPnz55ORkVHm/VatWmFsbMyRI0fIz8+na9eu7N27l2nTprFmzRqys7PL1fRN\nTk7m/PnzuLi44OXlVZnTqTRffvklSz76iIFqNYbAUQMDFC+9xM+/efBNkh6HLJEmSZIkSRVErVZz\n/vx5Tp06RVJSEps3byY6Orrcfv/+97+5fv06oaGhAMyePZvAwEBatWrFpUuXGDp06EObWjRp0oQm\nTZpU9DSq1NixY9m9fTsrjx3DwsAArYUF0WvWVPWwpBeEXAmWJEmSngvJycm8/vrrpStApKSk8PHH\nH3Pv3j1WrVpFnTp1APj000//cU7ttWvXaN+qFdrcXO4WFqJTKqlfvz45OTnk5OQwdOhQ1q9fz7p1\n65g1axY+Pj6Eh4cD0LFjR9LT0wG4e/cuKpWK0NBQ3n333X92A55ROp2Os2fPolKp8PLywtzcvKqH\nJD0HZHUISZIk6YXRpEkT/YNjp0+fxsLCgr59+wIwadIkYmNjn9hDZf169aLJ7duMLSigpRCg1Zar\n/rB7926mT5+Ora0tmzZt0r9+6NAhUlJSSElJYdKkSTg7O7/QtW2VSiVeXl60bdv2DwPg31fe2Lx5\nM+7u7hgYGBAbG6vfLyoqihYtWuDl5UXLli3L1BOWpN+TQbAkSZL03ImKiqJhw4Y4OjoC8KS/ibxw\n4QLNH/y7KxAAtPT1ZebMmdSqVYv169cTFBTEnTt3KCgooG3btowbNw4oqRqh1WoByM7O5vbt2zg7\nOz/R8T1vFi1aRPPmzfXbHh4ebNu2jU6dOpXZr3bt2vz000/Ex8ezbt06hg8fXtlDlZ4hMgiWJEmS\nnjubNm1iyJAh+u2vvvoKb29vgoODy3UiexxCCM49+HcRcB6wtrHB29ubVq1aAWBubk7dunUxNCz7\n+M2RI0fw8vLC19eXw4cP8+2331KjRo1/PKbnVWkb5eDgYP1rTZs2pXHjxuU+3Hh5eWFnZwdA8+bN\nKSgooLi4uFLHKz07ZE6wJEmS9MzS6XTs2bOHzMxM2rVrh4uLC8XFxdjb23PhwgVq167NnTt3qFWr\nFgqFghkzZvDrr7+yevXqf3Td9q1akXDyJKaAGhBKJQd++UUfAL+IdDodfn5+ODo6EhkZycyZM4mI\niECpVGJra8u6deuws7NDo9EQHBxMbGwsWq2W4cOHM2XKlD8878CBA5k+fTo5OTmEhoYSGRmpf8/f\n35/Q0FB8fX3LHbd582ZWrlypL00nvVhkTrAkSZL03NJqtXTrFsjAgW8xbtwXeHj4snfvXnbt2oWf\nnx+1a9cGSr4iVyhK/haOGTOGkydP/uNrb/vpJ7xbtSJLoUBhZsbytWtf6AAYyqcshISEEB8fz5kz\nZ+jVqxdz5swB4Mcff6SoqIiEhAROnTrFihUrSEtLe+g5d+zYga2tLd7e3gghHjmt5fz580ydOvW5\nbTMtPRmyRJokSZL0TNqyZQu//HKR/PyRgAGQwvDho/H371AmFSIjI0P/FfnWrVtxd3f/x9euU6cO\nh0+cQKvVolQq9UH2i6o0ZWH69On6NtCWlpb69/Pz8/Vl4BQKBfn5+Wi1WlQqFSYmJlhbW+v3zczM\n5L233yYhLo5ihYL7+fns3LkTtVrN/fv3GTFiBOvXr//TsfTr148NGzbIXGvpT8kgWJIkSXom3bx5\nE43GlpIAGKAemZm3iIqKKrMCGBISQlxcHEqlEmdnZ1asWPHExmBgYPDXO70AJk6cyMKFC8vlW8+Y\nMYP169dTvXp1faWGAQMGEBERQd26dVGr1XzxxRf6Lm8ajYYuHTticfkybYqLuWhoCI6OxCcmcvz4\ncUJDQ8sFwL9dHc7JySEwMJAFCxbQpk2bCp619KyT6RCSJElSlcvJyWHgwIG4ubnRvHlzTpw4oX8v\nNDQUpVJJVlZWmWPatGmDgcFF4C4gMDA4hq9vK+7cuYOVlZV+v/Xr15OQkEBcXBzh4eHY2tpW0qye\nb0IINBrNn6YsfPLJJ6SlpTFs2DC+/PJLAGJiYjA0NCQjI4OUlBQ+++wzUlNTAbh48SIZaWm8UlxM\nPSBAo0GVmUnC71oph4eH4+joyPHjxwkMDKRHjx5AyQOQV65cYe7cufj4+ODr60tmZmal3A/p2SMf\njJMkSZKq3BtvvEGnTp0YNWoUGo0GlUqFtbU16enpBAcHc/HiRU6fPl2uisLy5St4772J6HRaXF3d\n2b07EgcHhyqaxYvjP/PnM3vWLIq1Wpzr16eguBgjIyN9ykK/fv3KrNhev36dXr16kZCQwIQJE2jb\nti3Dhg0DICgoiB49ejBgwAAuX75May8vxqlUGAJaYIWFBXuPHcPT07NqJis9k+SDcZIkSdJTLzc3\nl8OHDzNq1CgADA0N9TmipV+z/5GxY99CpbpPdnYWZ8+efioC4MLCQkxMTDAzM8PMzEw/platWulf\nd3Bw0HeNKy4uZvTo0bi5uWFgYMD48eOrcvh/KTIyki8+/pigoiKEVsuVq1f59eZNCgsL2bhxIyYm\nJvz444+YmppSq1YtEhISCA8Pp1atWtSoUYMVK1YwcuRIhg8fTn5+PsePH8fV1RWAhg0b0r5jR7aY\nmXEa2GZmhqef3xPJ45ak35NBsCRJ0gvk9523Bg8ejK+vL76+vjRo0OChpaYq2tWrV6lVqxajRo3C\n19eXN998E5VKRWRkJI6Ojnh4ePzp8QYGBlhYWFTSaP+aiYkJ9vb23Lx5k7y8PBwdHYmJiWHAgAHk\n5+ejVqtxdHRk4MCBAKxatQqFQoG7uzuBgYFlSoA9jfZHReGuUlELsAJGA/a1auHo6EhiYiJ+fn6o\n1WoCAwMpLi6mVatWREVF8eqrr9KtWzeys7Pp1q0b3377LT4+PgQFBemDXIVCwZbISN6YNQurgQMZ\nMn06P+3Zo3+oTpKeJPlgnCRJ0guktIxVaYvfjRs36t/74IMP9A8oVTSNRkNERASZmZnUqFGD2NhY\nlixZQosWLZg4cSKzZ8/m0KFD7N27V3/Ms5ZSp9PpKCwsRKPRoFAoCAkJ0b/n7++vb6V84cIFqlWr\nRq1atbCwsCAxMZFTp07RokWLqhr6n6rr4EC0iQmisBCADKBWnTpoNBr8/PwYO3YsUFKnt3v37ty4\ncYOIiAg2btyISqXC1NSUjz/+mJ9//pnjx4+XS3ExMjIi5KOPKnta0gtIfrSSJEl6QTys89ZvhYWF\nlSktVlGKi4vp1OkV3njjIyZNWsOIEUHUrFlTH/T179+f2NhYUlNT8fLyokGDBqSnp+Pn58ft27cr\nfHxPgkKhwNHRESsrK2rXrk3Lli3LvL927Vr9w1yurq6sX7+eGTNmkJWVRXp6OtevX6+KYT+S8ePH\no3N2ZqOlJSqFgh1A/IPGJKXz7NChA4aGhhw8eJCtW7cCJVUh1Go1JiYm+mBZdsqTqpIMgiVJkl4Q\npfm1D6tpe/jwYezs7GjYsGGFj2Pz5s3Ex6eTlzcMlaonBQUDuHv3HsnJyQDs27cPPz8/ffWAq1ev\nUq9ePc6cOUOdOnUqfHyPIz09nTFjxjBs2DCOHj3K0aNHUalUXLp0iSNHjrBhwwb9vp07dyYrK4tj\nx47h4eHB999/T5s2bWjSpAlLlixBp9PxwQcfsHv3bgBOnjyJj48P9erVw8zMDCcnJ4YNG0ZhYSFz\n5syhXr16+pSW0mMqUlFRESvXreP/li9n3oPKDr+f55EjR9BoNLz88suMGTMGKKkKYWtrS1FREceO\nHWP16tX637kkVQUZBEuSJD3HhBDcvXuXTZs2/WnnrR9++KFSVoEBbt26hUZTm//9CaqLEDqGDRuG\nt7c38fHxTJs2rcwxD570rpTx/V1XrlyhibMz+7/+mrPff49/hw7s378fABcXF1q2bMnmzZsBCA4O\n5uTJk6SlpXHmzBni4uI4d+4cZ86coaCgAENDQ7RaLcOGDaN79+4AeHh4sH37doyNjbl48SIFBQUU\nFxfrU1kmTZpEbGwssbGx+mMqyrAhQ6hdsyad2rYleORI3NzccHJyKjfPUrNnz+b48eMAfP/993Tv\n3h2lUknbtm2xsbEhPDy8QscrSX9GBsGSJEnPKZVKRZcuPbG3r8/Qof9i7dq1uLi4MGTIEA4cOMCI\nESOAkvbDW7du5fXXX6+UcXXo0AEDgyRKskm1GBoeok2blzh58iRxcXFs3bqVatWqlTkmJSXlsb86\nf1gN4nv37tG1a1eaNm1Kt27dyjV5+DtGjRxJU62WEUB/oBMw4cHqZ2ZmJqdPn6Zly5Z88sknfPvt\nt5w+fVrfwa6wsJBGjRqxceNG3n//fZo3b46TkxNz587Vn9/U1BSlUolWqyUrKwulUolKpdJXnais\nDwfffvstWzduZAIwDWij1dK/d+9y89y3b5/+mIULF+rbV1taWurfS0xM5M6dO7Rv375Sxi5JDyOD\nYEmSpOfUhx9O5dixXykqmoxOFwLU4803x7Jx40YCAgL0dVz37t2Lm5sb9vb2lTKuFi1asHz5Yiws\nfkCp/BQ/PwVbt2786wMf03vvvUfPnj1JTEwkPj4eV1dX5s+fT5cuXbh48SIBAQHMmzfvsc+fmZFB\n3d9sGwHZajVmZmbUq1eP1q1bM2PGDObOnYtGo8HLywtzc3PMzMyws7OjTZs2jBkzhiVLlhAfH09e\nXh7BwcFkZ2frz5menk5RURE+Pj6o1WpsbGzo0qULUNIgwtvbm+Dg4H8UzP+VPXv20Bgo/ShSF1Br\nteXmOXLkSH15uKNHj7J9+3YAGjVqxJYtWzAzM8PX15cRI0bIIFiqUjIIliRJek4dOfILBQXelLQV\nNkalcufw4V/K7bdp06ZKS4UoNXz4v7h//x5FRYUcP36ownJ9H1aDuFq1akRERDBy5EgARo4cSXh4\nOMnJyfouYz4+PlSrVo3FixezefNm3N3dMTAwoEuXLmVWlENCQsjIyuJnYAOQA1wCvJs1Q61WU1BQ\nwJ49exBCsH//fsLCwkhKSkKlUqFWq0lPT+fixYts3bqV8+fPU1RUREZGBnZ2dkyYMIH58+fz0UdT\nyMzMpFmzZhw/fpwmTZqQm5vL999/z7hx40hJSSEuLg47OzsmTZpUIfcRwM3NjetA0YNtE8BIoWDo\n0KFUq1aNjIwMoCRgv3nzJi+99BLW1tZ89NFH5OTkEBwcTFRUFK6urri6uhIbGyvTIaSqVZobVtE/\nJZeSJEmSKkvfvoOEgcHLAmYLmCWMjVuI996bVNXDqlRxcXGiVatW4o033hA+Pj5izJgxIj8/X1Sv\nXr3MfjY2NmW2tVqtqFu3rkhLSxNJSUkiOTlZ2NnZiVmzZgkhhCguLhbZ2dli7969QqvVim6dOwsF\nCEC4ODiIe/fu6c+l0+nEkAEDRF0LC+FpbS2qWViIvXv36t+fO3euCA0NLXP9+Ph4YWhoJIyNfQW8\nLIyNLYS/v78QQoiAgAAxd+5cMX78+DLHpKamCg8Pj398z/6IVqsVTZydhSUIZxBGID799FNx+PBh\ncebMmTLXDgkJEQsWLBBCCDF//nzx0UcfCSGEUKvVQqvVCiGE+PXXX0WdOnX025L0JD2IO/80NpUr\nwZIkSc+pxYtDqVMnBSur77Gy2oCzcwGzZ/9fVQ+rUuTm5nL79m2Ki4uJjY1l/PjxxMbGYmFhwfz5\n88tVyPj9dlRUFA0bNsTR0ZGmTZtia2tLdna2vslI6Ypyly5dUCqV7I6KYvOWLQwdOpQr6ell6i3v\n2LGDI7t3Mzo/n365uXTLz2fYoEEAqNVq9u7di6urq34lFWDmzJnodJYUFfUBvCgqepnDh49w8eJF\nLl68yIULF3BzcytzzNatWyu0s5pSqSTxyhW+WLWKwVOmcPj4caZOnUqHDh2wsbEps+/DVtrhf/nN\npXOXTTCkqiSbZUiSJD2n6tWrx8WL5zh8+DCGhoZ07NgRU1PTqh5WhRJCMH78e3z99SqUSkOaNm2C\ng4NDmRrE8+fPx9bWllu3bmFra0tGRka5dIzfp4hcvXoVIyMjZs+eTXp6Oi1atGDRokWYmZnp91m3\nbh2DBw8uN6a0tDTstVqMHmxXB27fu4e3tzc6nY7XX3+dnj17MmLECOLi4lAqlRQWFiJEk9IzAMfR\najV4e3tja2uLiYkJb775JkFBQfpjnJ2dWbFixRO8m+Uplco/rDP9W7dv38bW1hYAOzu7MvWdY2Ji\nGD16NGlpaWzYsEEGwlKVUYhKeqpUoVCIyrqWJEmS9PicnZ2pVq0aSqUSIyMjYmJi2Lx5M7NnzyYx\nMZGTJ09WSXvlR7F+/XrGjZtJfv5gwAQjo5+xtk7h2LEjNGnShDlz5qBSqQCoXr06Gzdu5O7du3h5\neeHk5MSBAwcwNjYmKSmJxMREXFxc+O6775g7dy7Jyck4OTlx/fp1Bg8eTMOGDfVVHP79738TGxvL\nli1byo0pJiaGHv7+/Eulogbwi0JBhqsrcRcu/OE8Tp8+TceOXVCpAgEbTE338frrbVm37usKuGuP\n5+rVq2RmZuLm5sbdu3fp3bs3CQkJANSoUYOsrCz9vjVr1uTu3btljr948SIjRozg8OHDGBsbV+rY\npeffg7KK5Yui/9Zf5Us8qR9kTrAkSdIzoUGDBiIrK6vMa6V5sf7+/uL06dNVNLK/9uabbwvo9iAP\neraAt0WdOvaiRYsWwsvLS/Tt21dkZ2eLu3fvioYNGwqFQiHAQJibewhzcysRHx8vIiIiRIMGDUT/\n/v1FzZp2wsDASPj5tRUmJiZi06ZNolGjRuLw4cMiMDBQCCHE2rVrRbt27URBQcEfjmvJV18JM2Nj\nYWViIho7OYnLly//5Vx27NghXFxcRa1a9mL06LeEWq1+YvepoKBAGBsbC1NTU2Fqairs7e2FEEK0\nbVsyT1NTU1GnTh2RnJwshBDi7t27omXLlkKpVIoaNWqImjVrCRMTa2Ft7SRq1LAVu3fvLpMT7Orq\nKjIyMoQQJbm/rq6uDx1HQEDAU/3/SXp2IXOCJUmSpL9LCIFOpyvzWtOmTWncuPFT27CiVOPGLpiZ\n3QBKxq9QpNKoUdNyNYhVKhVarQ4Dg8ZAQ1Sq/qjVHRk/fhI//PAD7dq1Y9u2CO7eLUardSY+3hCN\nRsOmTZtwdnbmpZdeokGDBuzevZt///vfnDlzhrZt2+Lr68u4cePKjWvc+PHcy83lcloaF69eTPG4\nJwAAIABJREFUfaTOfD179uTKlUTu3LnB6tXLn2gqi4mJCfb29ty8eZO8vDwcHR2JiYlh6tSp+soV\nnp6eDHqQu2xkZERWVhYzZsygffv2qNWGFBaOJTd3FFlZbXjrrQll/m/06dOHdevWAfDNN9/w6quv\nApCamopWqwXg2rVrXLx4EWdn5yc2L0n6O2ROsCRJklSGQqHglVdewcDAgDfffFPf9vZZMGHCBMLC\ntpGYuA6l0hJDw7usWXOw3H4TJ07Ezc2d1NQ7QMnX9kLYk55+mKSkeOzs7FAorAF74C4aTTxQ0lRE\nqVRibm7OpEmTeOWVV1CpVPoAsE2bNixduvShYzMxMXnq2j7rdDoKCwvRaDQoFAp6P2h+ASW5vGlp\naUBJG+R27drh4uLC/v370WhcAPMHe17i2rXLGBsbU79+febMmcOUKVMYOHAga9aswcnJibCwMP15\n5s+fj7GxMUqlkmXLlj12ExRJ+qdkECxJkiSh1WpRq9VYWlpy9OhR6taty507d3jllVdwc3OjQ4cO\nVT3ER2JqasqxYwc5fPgwKpWKtm3blguyduzYga2tLa1bt2b//kkUFloDxZianqBbtwAcHe0ftP9V\nAz7AcaAPpqYbMDEx5PDhw/Tp0wdra2suXbrEtWvXCAwMJDY2tvIn/A8oFAocHR0pLCyka9eutGzZ\nEoAZM2awfv16srOz+eyzz4CS/N2ffvqJ8PDwB93rioBk4C7QkcaNm5OcfK7M+aOiospd81//+hf/\n+te/KnhmT4+goCB++uknbG1t9fnS9+7d4/XXX+fatWs4OzsTFham75A4b9481qxZg6GhIYsWLaJr\n165VOfznnkyHkCRJesGtXbsWCwtrbGxq4ebmSXFxMQC1a9emb9++xMTEVPEI/x5DQ0P8/f3p1auX\nPgCOjo6mfYsWeDZpwoL584mMjGTWrFkYGhYAKSgUn9K1a2N8fb3YuXMnzs7OeHi4Y2oahVJ5BzOz\njbi5NcHd3R0PD49y10xNTcXX1xd/f3+OHDnyxObi7OyMl5cXPj4+tGrVCoC4uDjatm2rf+3UqVOP\nde6jR4+iUqm4dOkSR44cYcOGDQB88sknvPXWW9SvX5+bN28CcODAAYqLi3FycmLo0KHY2FhiaJiH\ngYEx1aqdq9COf8+yUaNG8fPPP5d57Y+6FV64cIGwsDASExPZtWsX48aNe+rTj551MgiWJEl6gZ0+\nfZoJEyZTWDgKjWYKFy/WpGfP1wDIz89nz5495WrPPmt/mOPi4nitVy/sT5+m5aVL3IiNZfjQoaSk\npLBjx08EBgZSWFhIcPBI5s2bR/fu3albty4nTx7jww+DcHOzZ8+e7Zw7d47ly5frz1t6H+zt7UlL\nSyM2NpbQ0FCGDh1KXl7eX45Lp9Ph4+Ojrz382850pavKSqWS6OhoBg0axL1793BzcyMoKIg5c+Zw\n5swZ5syZw4cffvhI9+HSpUv4uLvjULMmPV55RV/b18XFhZYtWz5Y/S4p9bZz507Cw8PZsmUL6enp\npKSk0KFDBwwNDTE0NOS9997lo48m4+3tzo4dERVan/hZ9ndqKEdGRjJ48GAMDQ1xdnamcePGz9wH\n0GeNDIIlSZJeYDExMQ/q0dYGFAjhzvnzZ/Dx8aFNmzb07t2brl27Eh4ejqOjI8ePHycwMJAePXpU\n9dAf2Y9hYXip1bgD9YHuKhUbHjy0BSVpATk5OQzo35/r164xe+ZMlj/IVV21ahWpqanMmDEDKHng\nq0GDBqSnp+Pn58ft27cxMjLSBzq+vr40bNiQ5OTkvxzXokWLaN68uX7bw8ODbdu20alTJ/1rQgiS\nkpLKrBAmJSWRnZ0NQHZ2Ng4ODuh0Onx9ffUB9b179+jatStNmzalW7dupKSk4N2sGcrz5zHKymJv\nVBRWlpbMnz+fzMxMTp8+TcuWLVmzZg0LFy4kMjKSXbt24ebmxsSJE1m6dCkpKSnodDq0Wi0HDx6k\nffv2WFlZlamVLP21P6qhfOPGDRwdHfX7OTg4cOPGjSoZ44tC5gRLkiS9wOzt7TEwyAA0lPxJyMfG\npg5nzpwps99rr73Ga6+9VhVD/MdMzcwoNDAAjQaAAtDXpe3UqROdOnVi9IgR+AFdhUAAO0xMeHn0\naHr37UtoaCiRkZFlztmgQQNiY2OxsbEhMzNTn3bh7u7O1atXcXFxISQkhO3bt2NiYkLDhg1Zu3Yt\n1tbWXLt2DVdXV4yMjLCzs6OoqAgoqcABZVfaFQoF/fv3R6lUsnbtWsaMGYOfnx/vvvsuH3zwAUII\njh07xqJFi2jWrBm5ubnA/75yDwkJYcGCBYwYMYJqGg3OQBEwANik1TJ16lRmzZpFp06dmDFjBpaW\nlhQVFeHo6IixsTF+fn64ubnx0ksvcevWLXJzczl37hyWlpY0aNCggn5jz7bz589z8OBBatasSd++\nff9y/993K5Qqj1wJliRJeoH17t2bTp18sLT8BiurSMzNt7Jhw5qqHtYTNXr0aFIsLYkyMOAEEGlu\nzow5c8rsc/HCBRoWF6Og5A9jg8JCEs+de9jpAH0hfpKTk2nZsiUWFhaYmpqSlJSEra0tn3/+OZs3\nb8bExAQ7Ozvs7e31uZ9QUini0KFDrFq1Ck9PT/3rmZmZpKWlsWTJUk6cOMHRo0fp378/M2bMYOnS\npRw+fJi7d+8ycuRI0tLS+OKLLxg6dCg7d+4s08nt91+5JyUlYQAogGKg4YN5NmzYkFu3brFnzx4A\n8vLyuHr1Kj4+rSkq0hEbG8/mzZtxcXHBzMwMc3Nzhg0bRk5ODq6urv/o9/I82r59O61adeCDD9YT\nFDSD9u399R9ySpV2KwTKdCt0cHDg+vXr+v3S09NxcHCovMG/gGQQLEmS9AJTKpVERm5hy5avWbp0\nIvHxp+jVq1dVD+uJcnBw4GRcHC3GjaPuiBF88+OPvDFqVJl9fFu25IKpKTpK1sQvmpnh27o1nTp1\nKrcKDJCSkkKNGjVo0qQJV69e5dKlS3Ts2BEbGxsaN25MSEgIKSkpxMXF0atXLy5dusT169fRaDTs\n378fAwMDvL29f9tQijt37uDh4cvVq7dZs+YMAQE99A+9WVtb89prrxETE8Ply5dp3bo1AAMGDOD4\n8eMsXLiwzIpiaUtoKPnKXaPRcEepJIOSlfAFgFAomDJlCtWrV9cfJ4SgS5cenDgBavVYsrMDUKmK\nOXbsGBs3biQgIID169eXuRfPWo54RQoOHodK9RpqdQ/y84eSmHiXyMjIR6qh3KdPHzZu3EhRURFX\nr17l8uXL+ochpYoh0yEkSZJecEql8rkvxeTk5MQXixf/4fuf/uc/9Dpzhq8SEtABrdu2Zfr//d8j\nn3/ixIn079+f27dvY2ZmhqWlpf69vLw8Thw/Tn5eHmEbN1KvXj3u3buHiYkJUHL/R4wYgaurK3fv\n2iKEAdAClaoJ7777AW+9NYorV66wZ88eZs2ahZGREVeuXOH69et888032NjY4O3tTXR09B+Oz8DA\ngCMnTvBqz55kZmXh5+nJd2FhBAYG0qVLF33Ditu3b3P1aipabT9K1o2bo1AkcuLEiTLBcnh4OO+8\n8w6ZmZkEBgbi7e3Nrl27Hvl+Pa+ys+8Cdg+2lKhUd5k7dy4FBQV/WUO5WbNmDBo0iGbNmmFkZMTS\npUtlqkQFU1TWJziFQiHkp0VJkiTpaaTT6fDz86NGjRqsXr2a1atXExkZiVKpxNbWlnXr1mFnZ1fm\nmNu3b3PhwgUuXbpEfHw8arUaKysrrly5wvbt2/X1dnNzcym4f59xOh3mwHYTE7z79+eb775j1apV\nvPvuu9y5c4e5cz9m4cIYIBXoChRgaPgDjRo1JDU1lenTpzNkyBA8PTxQq9UoFQqUBgbY1KiBhYUF\narWa+/fv07dvX06dOkV0dDS2trZkZGTg7+9PYmIiEyZMoG3btgwbNgwoqWPbo0cPBgwYAIBKpaJ6\n9ZoUF48DrAEtlpZr+Omn78o8sPc0KywspGPHjhQVFaHRaBgwYACzZs0iPj6esWPHUlBQoA8yW7Ro\n8USvHRDQjSNHciku7gJkYma2iejo3XJFtwo8SFn6808Rf9VX+Un9lFxKkiRJkp4+n3/+uRg2bJjo\n3bu3EEKI+/fv699bvHixGDt2rH47Pz9fzJ07V1iamorG1tbCxNBQWFtbC6VSKerUqSMsLCzE8OHD\nhRBCrF69WiiVSmEOYjaIl0FYgDAxMhI+Pj5iwYIFombNmuL06dOia9euAnjwYyKUSgsxduwEIYQQ\nn376qWjYsKGws7MTdiYmYiqImSDaGBuLIQMGCCGEiI6O1o//ww8/FPPnzxdCCDFv3jzx0UcfCSGE\nWLBggRg9erQQQoi8vDzRrFkzcfbs2TL3Yu7cT4S5ua1QKl8SFhaNRNeuvYRWq33i97wi5efnCyGE\n0Gg0onXr1uL48eOia9eu4ueffxZCCLFz507x8ssvP/HrZmZmig4dAoRSaSCsrGzE+vUbnvg1pEfz\nIO7809hU5gRLkiRJL7T09PRyD5b9Np0hPz8fpbLkz2VmZibNmnkxd+YsBhYUMCw3l3c0GkRBAa1b\ntyYsLEyfN7t7926mTZtGw4YNKaAkugWoB7Tw9iY2NpYBAwZgZmZGcXExt2/f5ocffsDe3hmlUkNw\n8EgWLQoFYOrUqVy+fJmeXbviW1iICSUP9XgVFXHqIbVkp0yZwt69e2natCn79+9nypQpAIwfP577\n9+/j7u5O69atCQoKKlfj9//+bzpbt37DnDldWbZsJjt3RujnX9V+XwquVGhoKEqlkqyskhbY5uYl\nLZ0vX77MyZMn+eGHH1AqleTk5AD/Ky33pNWsWZPDh/dRXFxEbm4Ww4e/ON3xnkUyJ1iSJEl6oU2c\nOJGFCxfqA6RSpekM1atX58CBAwBMmzaTGzeqo0CJE1oALAGDB40vSl2+fJm3336bnJwcNBoNOmCR\noSFmCgV3hUCTlYWvry9KpZIVK1Zw4MABBg8erP/p0aMHo0eP0JdyK9XEzY0YU1NaFBSgBFKUSho1\nbgz8r9wbQI0aNR7attjCwkKfg/pnunXrRrdu3R71Flaa35eCg5IPMXv37sXJyUn/Wml6y7lz52jS\npAn169dn7NixdOvWjcmTJ+tLy1WUp+VDg/Tn5G9JkiRJeiEJIdixYwe2trblKjVASfvgtLQ0hg0b\nxpdffgnA5ctX0WgaIDAi6cF+t4AcjYaRI0fqq0lMmTKFrKws6tevT9OmTQkICGDZhg206tkT27p1\nsbS0xNfXl3379tGzZ89HbpTw3vvvY+PlxRpLS76ztuZCrVosWbWqIm/TU+NhK/bwvw8xAJoHtaCV\nSiWzZ89m/PjxFBYWkpGRwbJly1i0aJG+tNzo0aMrfQ7SU+av8iWe1A8yJ1iSJEl6RFqtVnh7e+tz\nXGfPni0cHByEj4+P8PHxEbt27Xrsc3/77XeiWrVawsDASNSv30A4ODiIBg0aCDs7uzL5vKXS0tKE\nu7v7g3HMFebmrgJGCkNMhCVKYWJgIJZ+9VWZY3766Scxfvx4IYQQBw4cEIGBgcLb21t069ZN6HQ6\nMXv2bGFlZSVq1qwpfHx8RO/evcV3330nhBAiPj5e1KlTRzg6OgpPT09RWFhY5tzFxcXi6NGjIioq\nSuTm5j50jgUFBcLY2FiYmpoKU1NTYW9vL4QQomXLlvrX7e3txfXr14UQQhw7dkzY2Njo9//Xv/71\n2Pe3ogwYMECcOXOmTO5zeHi4mDhxoggLCxMKhVKAQnh7txLJycmiXbt2Ij8/X/j7+4vevXuL6tWr\nlzmftbV1VUxDqiTInGBJkiTpWfT7lsIAkyZNIjY2ltjYWLp37/5Y5z158iRjxownJ6cfWu2H/Ppr\nHVxdPUlJSSlTB/fy5cv6Y8LDw3FzcwNg2rQp9OzpjZHRRjAE347+XL1+nbfHj6eoqIgZU6fSsVUr\nQj74gG3btuHi4sKQIUPYs2cPOTk5GBsb68tevffee9jb2xMbG0u7du24fv06Wq2W4cOH06hRI378\n8Ueio6MxMjIqMwdDQ0PatWtH586dsbKyeug8TUxMsLe35+bNm+Tl5eHo6EhMTAwDBgwgPz8ftVqN\no6MjAwcOBCA5OZlu3bqhVqu5cOEC33//PampqY91j5+kS5cuMXvWLIYMGYKJiYl+xR5ArVYzb948\nXn/9dd54402EMAcmk5BgSLt2LzFx4kQUCgVXrlyhTp062Nvbc/DgQQD27dtHkyZNqmROQUFB2Nra\nlmmSEhISgpubG97e3vTv379MugdAWloaVlZWfP7555U93OeaDIIlSZKkp8offe1dGvz8E9HR0Wg0\nzQF7wJji4pc5cuRguf2mTJmCp6cn3t7eREVF8cUXX+Dj40P//v358ccfePvtt3BxcSInJ5MJEyaQ\nm5vLyGHD2LpoEbknT3I1KYnbt27x2WefsXjxYqytrVmzZg2FhYX6ayQkJOgfSittlLBjxw59F7dW\nrVphY2Pzj2rF6nQ6CgsL0Wg0KBQKQkJCMDQseRzI399f37nMxMQElUqFVqvl3r17KBQKrK2tH/u6\nT8LZs2dp7etL1CefcGTjRr7//nvq1avHkCFD2L9/PyNGjCA1NZXAwEDUahWgAlah0zUkM/MWw4YN\no1q1aty+fZvw8HC6d+/O5MmT8fHxYcaMGaxcubJK5jVq1Ch+/vnnMq917dqV8+fPExcXR+PGjct0\nFwSYPHkyPXv2rMxhvhBkECxJkiQ9VUpzPH8f/H311Vd4e3sTHBxc7iG2R1W7dm2Mje/yv1oNt7G2\ntgEo0x1u8+bNJCQkEBcXR0REBGFhYWVWpnv37k1iYqI+aPn444/Zsm0bHdRqbgEfAM6mpowbN44l\nS5bQrFkzFAoFFy5cwNPTk2XLlhEVFUVCQgLBwcE4ODgwaNAgRo8ezb59+6hevTotW7bU57o+DoVC\ngaOjI1ZWVtSuXZuWLVuWeX/t2rX06NEDKOk8p1arMTExwc/Pj7Fjx1KjRo3HvrbuwYOCpVUcZs6c\niZeXFz4+PnTv3p2MjAwAiouLGT16NJ6envj4+OhXagE+njmTVvn5vKLTEQx0FYI2fn76Ffsff/yR\njIwMvv76ayws7CmpazwWMMPSsjoFBQUUFRUxZcoUpk2bRmhoKKdOneLMmTP88ssvZR5krEwdOnTA\nxsamzGtdunTRP0zXpk0b0tPT9e9FRETg4uJS7psR6Z+TQbAkSZL01Pj9g2qlxo0bp29DbGdnx6RJ\nkx7r/EOGDKFp0+pYWPyAqeluzMy28vXXS//0mIetTP8+aCl9iO0S4E5Ja+JinQ5jY2Nq167NwYMH\nEULg4+NDQkICZ8+eJS8vj3PnzunnM3XqVKZOnUqtWrXYu3cvhw8fZtu2bfrKFH9Fp9Px3//+l/Hj\nx7Nr1y6OHj2KSqXi0qVLHDlyhA0bNuj3feWVVzAwMGDJkiUAxMTEYGtrS1FREceOHWP16tUkJyc/\n+o39nd+ns4SEhBAfH8+ZM2fo1asXc+fOBWDVqlUoFAoSEhLYs2cPkydP1h+Tm52N9W/+D1QD7mdn\nl7tWYGAgbdq4oVDkYWa2F3PzMFb/P3vnHR5Fubbxe2Z7yaZv6qaTukk2JIEEwVBClSIgkd5BQOUI\nCAgIBPAAYkSK6AEVsGBDgYCAAgcQUHoTDwhiCCRKD0gLpN3fH9nMlyUJTTiec5zfde2FOzvvO8+8\nu7m853mf8t78O3rQqwtJAIC5c+ciKioKsbGxUlm53bt3IyEhQXqtWLHigdbkdvLz86sNi+jRowe2\nbNmCjh074vTp05gxYwZat26Nt99+G6+//vpDteEvz92Chh/WC3JinIyMjIxMNdy6dYvPPPMsXVw8\naTCY6Obm5pCo1r17dyl5jCRzc3MZGxvLrKwsCoLAixcv3vf1lixZwjlz5vCHH3646/nVJWRVpk2b\nNvz444/Zu0cPuiiVjASoAeglCBQFgXq9/o6JdxX3Q5Kffvope/fuLX02ZcoUZmVl3dXG0tJShgUE\n0BlgBEA1wGHDhkmfN2rUiG3btiVJ9uvXj05OTvz999+lz5999ll+9NFH0nsfHx+++uqrd71uBXl5\neWzUqBGjoqKo0WhoMBi4adMmJiYm0mg0UqvV0tvbm6dPn+a0adP4zDPPsE+fPnRxcaEgCBwyZAhJ\nskmTJty9ezdJ8p133qGvXs+BAJ8B6KfXc8H8+dVev6SkhMuXL+c//vGPe/pOt27dyv3790vrTpYn\nMDZt2pTFxcUkyfPnz5MkCwsLpWYhp0+fptls/sPNQ3JzcxkSElLFht69e7N9+/YkydGjR7NOnTpc\nunQpCwsLOXHiRGZlZT00G/7XwT0kxskiWEZGRkbmT2Xo0OHU6SII/I1Af+r1Hvzmm28k0Tlz5kx2\n6NBBEqAzZ85ku3bt2Lx5cwYFBd23CL4fqqvyUJlXXnmFHTp0IFletSGlbl0qBYG97B3iYgEa1Wru\n3bvXQUSfPn1ammPmzJns0qULSfLSpUtMTExkYWEhi4uLmZ6ezjVr1tzVzqysLDoDHGe/bleAAsDi\n4mKeP3+eJpOJU6ZM4ZQpU6jRaHjs2DGH8aNHj2afPn1IkocPH6ZSqeS2bdvuaY1KS0tptVr5+OOP\nc+bMmTSZTATAwMBAApDWLy4ujqIoUqvV0mw2MykpibVr16avry/9/f2Zk5NDFxcXLlu2jCRZVlbG\nrBkz6OvhQZVSST9fX9psNppMJs6ePZsHDhxgSkoKbTYbk5OTJfF8r1R++CDJjIwM/vOf/7zjmJyc\nHHp7e9+3AF27di0zMrqzT58BPHz4sHTtyjYsWrSI9erV482bN0mSy5cvp9lsZnBwMIODg+ni4kJ3\nd3dOmjTpgWz4qyGLYBkZGRmZ/3j8/UMJDCKQaX815eDBz3Hz5s1MT09neno6mzZtSicnJ8bHx7Nd\nu3Zs3bo1f/jhh0cmgletWsUOTzzB6IgIenl5VevJvV20kOT48eOpUiiYaRejoQBr6fX89NNPHURw\njx49GBsbK93PmTNnpDmWLFnCmJgYxsbG8qWXXrone5955hlG2q9ZIYIBUKvVUqPRsGnTpiRJlUpF\nhUJBnU5HnU7HmJgYkuVeV5PJJJVIq2itfC/MnDmTLVu2pCAIBEBBECgIArOysgiAzs7OVKvV1Ov1\nFASB06dPZ2xsLAFQFEXp/LS0ND7xxBPMzs6u8VqlpaX08fHhqVOn/nAb5NtFsM1m48SJE1m3bl02\nbNjQQVTv3LmTMTExdHJy4ooVK+7rOp999hn1ejcCT1AQGtNodOWGDRtotVqZkZFBhULBoKAgRkdH\n88KFCxw5ciQjIyNpMpmYnJwseexbtmxJpVJJURQZGhrKjRs33pcdfzVkESwjIyMj8x9PTExtAk9L\nIliprMtx414meefasCQfiQj+7LPP6KbTsR3A5gCd9Xru27fPwYa1a9dKoqUyhw4dolKhYAbAvwF0\nBuii0911i/7o0aO02WxMSEhw8HY+/fTT0vGgoCAmJCRUO37VqlVUAxwEcCLAFgD1SuXDWZA7kJeX\nx+TkZBq02nLRrVBQFEUCoLu7OwHQzc2NJOni4kIAPHHihPTfOTk57NOnDwVB4Jdffsl69erxyJEj\nNV7vm2++Yf369UmSLVq04Oeff06S/Pjjj9mtW7e72ltSUiL99+0i2Gq1cujQoSTJXbt2MTg4uMr4\nn376iXXq1KlSu/lOREbaCHSv9JDnSYPBQLVaTXd3d5rNZqrVagYEBDAhIYFhYWGsU6cOO3TowNGj\nR0sPQoMGDeLEiRP5008/MTY2Vqr9LFM9sgiWkZGRkfmPZ8OGDdTpnCmK9anRJNJs9uPZs2erhCK0\nadOGN27cYN26daUmEUFBQVWE6B+lTnw8u1TyqjYBOLBvXwcRHBYWJomWhIQEDh48WBo/aNAgiqJI\npShSo1Jx1htv3Nf1K3s7KzNixAhOmTKlxnHPP/ccFQAVAPUKBdetW3df130Q2rZtSz+zmVZ7+MVQ\ngKLdG+zr6yt5gnU6HRMTEwmARqORAKhQKBgfH8/w8HAaDAYOGDCAaWlpd7xe3759OW/ePJLkkSNH\nGBAQQIvFQn9//yrrVZmdO3fS1zeQgiAyICCMBw4cqCKCW7Zsyc2bN0vvQ0NDq/1tNW7cmHv37r3n\nNQoNjSHQt5IITqevbxBPnz7N3NxcRkZGOthReYdh+fLl1TYuady4MZ2dnVlUVHTPdvzVkEWwjIyM\njMx/BQcOHODkyZM5ZswYtmv3FBs3bslmzZrTYrE4hCI89dRTUnhCUFAQlUolAwMDefbs2YdmS6LV\nyu6VRHAzgH179ryvOa5du8YffviB586du+/rV/Z2VsZisfD48eN3HFtcXCx1gXtUbNiwgaNHjaKf\njw8BUAlQaw+/qPxq0qQJATA9PZ0dO3akk5MTAbBNmzZ0c3MrH6tUSuebzWZJyBYXF3PRokWcOHEi\nV69eTZIsKiqih4eHtKZDhw7l8uXLSZJLly5lenp6tfZeunSJzs4eBDIITCDQnu7uXjxy5IjUCZAk\n58+fzwkTJpAs98wHBASQJE+cOCF5kHNzc+nn53dfuw9ZWTOp0/kS6EGgIwE9FYp4xsTYmJOTw+Dg\n4Cprd+HChSrHtm/fTrJcrN/+2Z49e+7Znr8KsgiWkZGRkfmvIT8/n87OHhTFxgQ6Ua+38OWXy0VJ\nTZUZgoKCWFBQ8FDtePfdd+ml17MzwCcBOut0/P777x/qNe5EZW9nBVu2bGFycvK/zYaaWLBgAT30\nesbZK1Do7S+lXYy52j3BGo2GW7ZsocFgoNFoZGJiIjUaTYUw4YABA5iSksKlS5eyVatWFARBqk5R\nWlrKJk1a0GAIoyA8ToPBmxMnTmJ2djabN28u2eLs7OxgW01tkL/77juaTCGVPLGZVCp19PT0pFqt\npsVi4cKFC1lcXMzu3bvTarUyMTFR8gp/+OGHjImJYUJCAhMTE7ly5cr7WrOysjIOHDiQxKf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3NpNBqZkJDAhg0bcuvWrQ721VQDeNq06RQEkYIg0s3NzH379nHevHns27cvSTIwMIyAq33dJ1Cv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9/7F/bvvxLYz7Rp05k06TJGjhzJ3Llz29v96U9/YtiwYQCsXr2aESNGHPVafhBb0qdxdQhJ\n0mnhootG8vrrfwNc2HaknBD+yJgxYwghEEKgtLSUH//4x9TW1pKamsqQIUNYuXIl559/PgC5ubm8\n9957tLS00L9/f55//nmGDx+etD5JSg63TZYknTEuvngM27aNBS4CIIRfc8st4ykrW5bcwiSdcVwi\nTZJ0xli0aAHp6f8b2EQI/4e+fV9hzpz/lOyyJPVQjgRLkk4b5eXl/PSnq8jISGfBglsZNWpUskuS\ndAZyOoQkSZJix+kQkiRJUicMwZIkSYodQ7AkSZJixxAsSZKk2DEES5IkKXYMwZIkAZWVlWRmZpKW\nlkZaWhrFxcUALF68mJycHHJycggh8OSTTwLwwgsvMGjQIPr06cPZZ5/NPffck8zyJX1GhmBJkoA+\nffqwcuVKDhw4QF1dHeXl5Tz33HMAzJ49m7y8PIYOHcpVV10FwHvvvUdWVhb79u1jzZo13HnnnbgU\nqHTmMARLkgSMGTOGGTNmAJCdnc2AAQPYsmULAGvWrGHp0qUd2tfW1jJz5kx69erF5MmTSUlJ4Xe/\n+1231y3pxBiCJUn6mPXr1/POO+9QUlJCbW0tdXV1lJSU8O6777J3714AGhoaGDx4MABPPfUUAwcO\n5O23305m2ZI+A0OwJElHaGxsZMqUKdx+++2cc8451NbWsnPnThKJBKmpqSxcuLBD+y1btnDHHXcw\nceLEJFUs6UQYgiVJsTV37lwGDhzM4MHDeOqppzhw4AB5eXlMmTKF0tJStm/fTkNDAwUFBeTm5tLc\n3MwTTzxBU1MTgwYNorq6mq9//es89thj/PWvf2XQoEHJ7pKk4xS6axJ/CCHyAwOSpNPFrFmzeOyx\nZ4BrgGbgJbKzB3DBBRewadOm9naNjY1kZ2cDkJWVRVFREU899RQvv/wyV155JY8++ijjx4/nmmuu\nYdu2bYQQktIfSf9fCIEoio75j7FXdxUjSdLp5Be/eAb4e2BI25EdNDZuZ8+ePaSnpwNw5513snXr\nVhKJBCkpKXzwwQcsWbIEaF0i7fDhw8ycOZMQAjk5OfzlL3/h3HPPTUp/JH02jgRLkmKpd+9+HDw4\nAxjcduRFCgv3sWlTZTLLknQKHM9IsHOCJUmx9LWvXQP8CngN2Aj8jjvuWJDcoiR1G0eCJUmxdPjw\nYWbN+hZr1qzlrLN688MfLuaGG25IdlmSToHjGQk2BEuSJKlHcTqEJEmS1AlDsCRJkmLHECxJkqTY\nMQRLkiQpdgzBkqRYqK+vp6ioiFGjRjF69GhWrFjR4flly5aRkpLCrl27AHjjjTdIT0+nsLCQwsJC\nbrrppmSULamLuGOcJCkWevXqRVlZGQUFBTQ3NzNu3DgmT57M8OHDqa+vp6KigiFDhnQ4Z9iwYVRV\nVSWpYkldyZFgSVIsZGdnU1BQAEBGRgYjRoygoaEBgHnz5rF06dKjznFpT6nnMgRLkmKnrq6ORCLB\nJZdcQnl5OYMHD2b06NGdtissLGTSpEmsX78+CZVK6ipOh5Ak9VgNDQ2sW7eOfv36MXXqVHr37k1z\nczPFxcUsX76c1NRUSktLqaioaD/no9HfCy64gDfffJPMzEyqqqq4/vrrqampISMjI1ndkXQKGYIl\nST1SZWUlRUVTCGEIUbSXiy8+j3XrKiguLqakpITp06dTXV1NXV0d+fn5RFFEfX0948aNY8OGDZx3\n3nlkZmYCUFhYyBe+8AW2bt1KYWFhknsm6VRw22RJUo+Ul1fIli25wBjgMGef/RR5eX2ZOHEiZWVl\nnZ6Tm5tLVVUVmZmZvPvuu2RlZZGSksKOHTu44ooreOWVV+jfv3+39kPSZ3c82yY7EixJ6pEaG98C\nLm97lML77/dh48aNtLS0MHbsWEIIlJaWMnXq1PZz2n5wAvCb3/yGRYsWcdZZZ5GSksLDDz9sAJZ6\nEEeCJUk90nXX/R3//u8NtLRMAZrp23cVv/jF/+Daa69NdmmSutjxjAQbgiVJPdKuXbv42tf+lsrK\nPwDwve99j0WLFia5KkndwRAsSYq9ffv20adPH3r1cgagFBfHE4JdJ1iSepiPbw98//33A7B48WJy\ncnLatwFeu3Yt0LqKwtixY9v/rF69Opnln3J9+/Y1AEs6iiPBktTDNDY20tjY2GF74DVr1vDLX/6S\nfv36MX/+/A7tDxw40P7hr8bGRvLz83nrrbdISWkdJ6mvr2fWrFm8/fbbpKSkcOONN3LzzTe3n79s\n2TJuu+229tUUPvzwQ+bMmcPGjRtJTU3lvvvu44orrujW74GkeHN1CEmKoezsbLKzs4GjtwfubDAi\nLS2t/ev333+/Pfx+pFevXpSVlXUI1ZMnT2b48OHU19dTUVHBkCFD2ts/8sgjhBDYvHkz77zzDtOm\nTWPjxo1d0VVJOmFOh5CkHuzI7YEBHnjgAQoKCrjhhhvYs2dPe7sNGzaQl5dHfn4+K1eu7BCEs7Oz\nKSgoAI4O1fPmzWPp0qUd3rOmpoaioiIABg4cSP/+/Q3Bkk47hmBJ6gFef/117r33Xh544AGampoA\nOmwPnJGRwU033cSOHTtIJBJkZ2dz6623tp8/YcIEqqurqayspLS0lJaWlk7f58hQXV5ezuDBgxk9\nenSHNvn5+ZSXl3Po0CFef/11Nm3axM6dO7uu85J0ApwOIUlnuEQiweWXF9HScjEpKR+yePHdVFb+\nnu9+97vt2wND66jsR2688cZO18v90pe+REZGBtXV1UdtD3xkqE5NTaW0tJSKior25z+aajF79mxe\nffVVvvzlLzNkyBAuu+wyUlNTu6LrknTCHAmWpDPcvHn/jebmS2lpmcaBA9exe/cXmTx5CiNHjmTu\n3Lnt7RobG9u/fvrpp8nLywNaR3cPHToEwBtvvEFtbS1//vOfueyyIgoKLqGs7D4+/PBDiouL20P1\n9u3bqaurIz8/n9zcXOrr6xk3bhxNTU2kpqZSVlZGVVUVzzzzDLt37+biiy/u3m+KJH0KV4eQpDPc\n6NHjqa7OA3LbjrwA/Jb8/DGEENq3B161ahWJRIKUlBSGDh3Kww8/zOc//3l+/vOf84Mf/KB9hYiZ\nM2dy113/nf37i4AM+vZ9iS9+8VwmTbqSsrKyTmvIzc2lqqqKzMxM3n//faIoIj09nYqKCu6++25e\neuml7vlmSBKuDiFJsXD99V9jx47H2b8/C/iQ9PQdPPTQz5g1q6RDu6lTp3Z6/syZM5k5c2b741tv\nvY39+wuAfAD27dtDIvEsUXSYsWPHtofqI1+v7QcOAE1NTUyZMoXU1FQGDRrEY489dmo7LEmngCFY\nks5w3//+Qnbt2sXPfvY/SU3txYIF/5WSkpmffuInOOus3qSkHOTw4Y+ODCA3dziJROITz9mxY0f7\n10OGDOG111474feXpO7gdAhJUgfbt29n7NgJNDfnE0UZpKf/nh/96F/41rf+Y7JLk6TjcjzTIQzB\nkqSj1NbW8sMfLmPv3veYNes/cN111yW7JEk6boZgSZIkxc7xhGCXSJMkSVLsGIIlSZIUO4ZgSZIk\nxY4hWJIkSbFjCJYkSVLsGIIlSZIUO4ZgSZIkxY4hWJIkSbFjCJYkSVLsGIIlSZIUO4ZgSZIkxY4h\nWJIkSbFjCJYkSVLsGIIlSZIUO4ZgSZIkxY4hWJIkSbFjCJYkSVLsGIIlSZIUO4ZgSZIkxY4hWJIk\nSbFjCJYkSVLsGIIlSZIUO4ZgSZIkxY4hWJIkSbFjCJYkSVLsGIIlSZIUO4ZgSZIkxY4hWJIkSbFj\nCJYkSVLsGIIlSZIUO4ZgSZIkxY4hWJIkSbFjCJYkSVLsGIIlSZIUO4ZgSZIkxY4hWJIkSbFjCJYk\nSVLsGIIlSZIUO4ZgSZIkxY4hWJIkSbFjCJYkSVLsGIIlSZIUO4ZgSZIkxY4hWJIkSbFjCJYkdZvK\nykoyMzNJS0sjLS2N4uJiABYvXkxOTg45OTmEEHjyyScBeOGFF+jXrx+pqakMHDiQ1atXJ7N8ST1I\niKKoe94ohKi73kuSdHravHkzr776KjNmzKCxsZELL7yQ1atXU1lZyaFDh9iwYQO1tbVs2rSJrKws\ndu3aRU1NDTU1NWzYsIFnn32Wt956i5QUx3AkfbIQAlEUhWO18S4iSeo2Y8aMYcaMGQBkZ2czYMAA\ntmzZAsCaNWtYunRph/ZZWVlMnDiRPn36cPDgQcOvpFPGu4kkKSnWr1/PO++8Q0lJCbW1tdTV1VFS\nUsK7777L3r1729tt2LCBu+66i1WrVrFy5UqDsKRTwjuJJKnbNTY2MmXKFG6//XbOOeccamtr2blz\nJ4lEgtTUVBYuXNjedsKECdx9993MmDGD0tJSWlpakli5pJ7CECxJ6lILFiygd+9+pKamU1g4gV27\ndpGXl8eUKVMoLS1l+/btNDQ0UFBQQG5uLs3NzTzxxBM0NTV1eJ3MzEwyMjKorq5OUk8k9SS9kl2A\nJKnnevDBB7nnnuXAPwD9+OMfn+X8888nLy+Pp59+GoC8vDwSiQTZ2dlA6zzgoqIizjvvPOrq6hg8\neDAAe/fupba2lqFDhyanM5J6FEOwJKnL/OQnPwUuBb7QdmQoLS07qampIT09HYA777yTrVu3kkgk\nSElJ4YMPPmDJkiVA67zh2bNnc/jwYaIoIisri6amJrKyspLRHUk9iEukSZK6zJVXTmLduveAa9uO\n/InevdfQ0rL3WKdJ0kk5niXSHAmWJHWZFSuWU1DwZVoHQT4H/J7bbrs12WVJkiPBkqSutXnzZm65\nZR7vvdfMDTfMZs6cOckuSVIPdzwjwYZgSZIk9SjuGCdJkiR1whAsSZKk2DEES5IkKXYMwZIkSYod\nQ7AkSZJixxAsSZKk2DEES5JOqfr6eoqKihg1ahSjR49mxYoVHZ5ftmwZKSkp7Nq1q/3Y5s2bufTS\nS8nLyyM/P5+WlpbuLltSzLhjnCTplOrVqxdlZWUUFBTQ3NzMuHHjmDx5MsOHD6e+vp6KigqGDBnS\n3v7QoUOUlJTw+OOPk5eXx+7du+ndu3cSeyApDhwJliSdUtnZ2RQUFACQkZHBiBEjaGhoAGDevHks\nXbq0Q/vnn3+e/Px88vLyAMjMzCSEY65xL0knzRAsSeoydXV1JBIJLrnkEsrLyxk8eDCjR4/u0Gbr\n1q0ATJ06lfHjxx8VkiWpKzgdQpLUJZqbmykuLmb58uWkpqZSWlpKRUXFUe0OHjzIb3/7WzZu3Eha\nWhpXXXUV48ePZ9KkSUmoWlJcOBIsSTppzc3NfOc7cxg2LI+rrppGTU0NxcXFlJSUMH36dLZv305d\nXR35+fnk5uZSX19PYWEhTU1N5OTk8JWvfIXMzEzOPvtsvvrVr1JVVZXsLknq4UIURd3zRiFE3fVe\nkqTudfXV01i/vpEPPhhPCDvp3Xsds2d/i4ceeqjT9rm5uVRVVZGZmcmePXu4+uqrWb9+Pb169WLa\ntGnMnz+fadOmdXMvJPUUIQSiKDrmhwscCZYknZTm5mbWrXuRDz64FsghigbR0nKAtWvXMnbsWAoL\nC1m7dm2Hc9p+QAHQv39/5s+fz/jx4yksLGT8+PEGYEldzpFgSdJJOXDgABkZn+PQofnA2UBEv36P\n8/jjZVx77bXJLk9SDDkSLEnqcmlpaXz3u/+Z9PRfAhvp0+dZzj8/jWuuuSbZpUnSJ3IkWJJ00qIo\n4pFHfsxLL60nN/dCFiy4jc997nPJLktSTB3PSLAhWJIkST2K0yEkSZKkThiCJUmSFDuGYEmSJMWO\nIViSJEmxYwiWJElS7BiCJUmSFDuGYEmSJMWOIViSJEmxYwiWJElS7BiCJUmSFDuGYEmSJMWOIViS\nJEmxYwiWJElS7BiCJUmSFDuGYEmSJMWOIViSJEmxYwiWJElS7BiCJUmSFDuGYEmSJMWOIViSJEmx\nYwiWJElS7BiCJUmSFDuGYEmSJMWOIViSJEmxYwiWJElS7BiCJUmSFDuGYEmSJMWOIViSJEmxYwiW\nJElS7BiCJUmSFDuGYEmSJMWOIViSJEmxYwiWJElS7BiCJUmSFDuGYEmSJMWOIViSJEmxYwiWJElS\n7BiCJUmSFDuGYEmSJMWOIViSJEmxYwiWJElS7BiCJUmSFDunJASHEG4NIRwOIWSditeTJEmSutJJ\nh+AQQg5wDfDGyZcjdb+XXnop2SVIn8jrU6crr02d6U7FSPC9wG2n4HWkpPBGrtOZ16dOV16bOtOd\nVAgOIVwH7Iyi6JVTVI8kSZLU5Xp9WoMQQgXw+SMPARGwELiT1qkQRz4nSZIkndZCFEUndmIIecAL\nwH5aw28O0ABMiKKoqZP2J/ZGkiRJ0mcURdExB2dPOAQf9UIhvA4URlG0+5S8oCRJktRFTuU6wRFO\nh5AkSdIZ4JSNBEuSJElnii7dMS6EUBxCqA4hHAohFB5xfEgIYX8Ioartz4NdWYfUmU+6PtueuyOE\nsC2E8GoIYXKyapRCCN8PIdQfcb+cmuyapBDC1BDCayGErSGEBcmuR/pICKEuhPB/Qwh/DCFsOFbb\nT10d4iS9Avwt8HAnz/0piqLCTo5L3aXT6zOEMAL4B2AErR/4fCGE8MXIX5soecqiKCpLdhESQAgh\nBXgAuAr4M1AZQlgTRdFrya1MAuAwcOXxfEatS0eCoyiqjaJoG53PFXb+sJLqGNfndOBfoyg6GEVR\nHbANmNDd9UlH8H6p08kEYFsURW9EUfQh8K+03jel00HgOPNtl4bgTzG07Vd7L4YQJiaxDunjBgE7\nj3jc0HZMSpZ/CiEkQgg/DiGck+xiFHsfv0fW4z1Sp48IqAghVIYQbjxWw5OeDnGMzTTuiqLo2U84\n7c/AhVEU7W6bi7k6hDAyiqLmk61HOtIJXp9StzrWdQo8CPxzFEVRCGEJUAZ8p/urlKQzwmVRFL0V\nQhhIaxh+NYqi9Z01POkQHEXRNZ/e6qhzPgR2t31dFULYDlwMVJ1sPdKRTuT6pHXkd/ARjz/aCEbq\nEp/hOn0E8D9vSrYG4MIjHnuP1GkjiqK32v5+J4TwDK3TdzoNwd05HaJ9TlsI4dy2ifWEEC4ChgE7\nurEW6eOOnHNZDuc/KlwAAADxSURBVPxjCOGsEEIurdfnMT9hKnWVEEL2EQ+/DlQnqxapTSUwrG2l\np7OAf6T1viklVQghPYSQ0fZ1X2Ayx7hndunqECGE64H7gXOB/xVCSERRNA34CvDPIYQWWj/FNyeK\noj1dWYv0cZ90fUZRVBNCeAKoAT4EbnJlCCXRPSGEAlrvlXXAnOSWo7iLouhQCOGfgOdpHUz7SRRF\nrya5LAlap5U9E0KIaM24j0dR9PwnNXazDEmSJMVOMleHkCRJkpLCECxJkqTYMQRLkiQpdgzBkiRJ\nih1DsCRJkmLHECxJkqTYMQRLkiQpdgzBkiRJip3/B3cQR3ygGFW8AAAAAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x123ed7390>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"pca = PCA(n_components=2)\n",
"pca.fit(data_scaled_df)\n",
"X_reduced = pca.transform(data_scaled_df)\n",
"print(\"Reduced dataset shape:\", X_reduced.shape)\n",
"\n",
"import pylab as pl\n",
"fig, ax = plt.subplots(figsize=(12,20))\n",
"ax.scatter(X_reduced[:, 0], X_reduced[:, 1],c=category)\n",
"\n",
"for i, txt in enumerate(item.values.flatten()):\n",
" ax.annotate(i, (X_reduced[i, 0], X_reduced[i, 1]))\n",
"\n",
"# filename = \"output.png\"\n",
"# plt.savefig(filename)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## draw"
]
},
{
"cell_type": "code",
"execution_count": 18,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.colorbar.Colorbar at 0x123605be0>"
]
},
"execution_count": 18,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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wNUTznJmSWBEREZECzu/I5SavIaDiIxEREREJO1qJFRGRsOV2uxk7diy7duygWYsWdO/e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\nlMSKiAgATa66ig0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asWMHHTt2Zf36NURHx1K2bEVSU1No3fpqxo59lbi4OA4ePMju3bu5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\nAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x126f9afd0>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig = plt.figure(figsize=(13,7))\n",
"im = pl.scatter(X_reduced[:, 0], X_reduced[:, 1], c=category);\n",
"fig.colorbar(im)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### KMeans Method"
]
},
{
"cell_type": "code",
"execution_count": 19,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.colorbar.Colorbar at 0x1235cb748>"
]
},
"execution_count": 19,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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wmfrMX7AcDw/Nr8iDK7Xe2BUR5ppY6QK0OoGIiKQBe/fu5bfffiN37tw0btxYBaw88FJr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Pz5a3nvvV8ZNuwWbrnl9mKN63a7+eqrL/F4egGVgOZAA5KTkwMQ9cnr3r0rsbErgVzATUzM93Tv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\nAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x12360f2e8>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"from sklearn.cluster import KMeans\n",
"k_means = KMeans(n_clusters=4, random_state=0) # Fixing the RNG in kmeans\n",
"k_means.fit(data_scaled_df)\n",
"y_pred_k = k_means.predict(data_scaled_df)\n",
"\n",
"fig = plt.figure(figsize=(13,7))\n",
"im = pl.scatter(X_reduced[:, 0], X_reduced[:, 1], c=y_pred_k);\n",
"fig.colorbar(im)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## GMM EM Clustering"
]
},
{
"cell_type": "code",
"execution_count": 20,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"GMM(covariance_type='diag', init_params='wmc', min_covar=0.001,\n",
" n_components=4, n_init=1, n_iter=100, params='wmc', random_state=None,\n",
" thresh=None, tol=0.001, verbose=0)"
]
},
"execution_count": 20,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"em = mixture.GMM(n_components=4)\n",
"em.fit(data_scaled_df)"
]
},
{
"cell_type": "code",
"execution_count": 21,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.colorbar.Colorbar at 0x12847f438>"
]
},
"execution_count": 21,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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5YAEPNazOljX9GDX8KVq1fOg/hey5c+e4ciWE9i1dxyWLQo3KPgQHBwOQP38+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\np1aBFg+ZAAAAAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x123bfe550>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig = plt.figure(figsize=(13,7))\n",
"y_pred_em = em.predict(data_scaled_df)\n",
"im = pl.scatter(X_reduced[:, 0], X_reduced[:, 1], c=y_pred_em)\n",
"fig.colorbar(im)"
]
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 3",
"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": "3.5.1"
},
"latex_envs": {
"LaTeX_envs_menu_present": true,
"autoclose": false,
"autocomplete": true,
"bibliofile": "biblio.bib",
"cite_by": "apalike",
"current_citInitial": 1,
"eqLabelWithNumbers": true,
"eqNumInitial": 1,
"hotkeys": {
"equation": "Ctrl-E",
"itemize": "Ctrl-I"
},
"labels_anchors": false,
"latex_user_defs": false,
"report_style_numbering": false,
"user_envs_cfg": false
},
"toc": {
"nav_menu": {},
"number_sections": true,
"sideBar": true,
"skip_h1_title": false,
"toc_cell": true,
"toc_position": {},
"toc_section_display": "block",
"toc_window_display": false
},
"varInspector": {
"cols": {
"lenName": 16,
"lenType": 16,
"lenVar": 40
},
"kernels_config": {
"python": {
"delete_cmd_postfix": "",
"delete_cmd_prefix": "del ",
"library": "var_list.py",
"varRefreshCmd": "print(var_dic_list())"
},
"r": {
"delete_cmd_postfix": ") ",
"delete_cmd_prefix": "rm(",
"library": "var_list.r",
"varRefreshCmd": "cat(var_dic_list()) "
}
},
"types_to_exclude": [
"module",
"function",
"builtin_function_or_method",
"instance",
"_Feature"
],
"window_display": false
}
},
"nbformat": 4,
"nbformat_minor": 2
}
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