FadouaFGM/Stackoverflow_Questions_Categorisation
3
1{2 "cells": [3 {4 "cell_type": "markdown",5 "id": "3d8cc11f-09e9-4d2d-addc-ea9027eda6ea",6 "metadata": {},7 "source": [8 "# <center> <font color='blue'> **Projet 5: Catégorisez automatiquement des questions**\n",9 "# <center> <font color='goldenrode'> **Notebook: Exploration du jeu de données**\n",10 "\n",11 " \n",12 "<center><img src=\"stackoverflow2.png\" align=\"center\"/> </center>\n",13 " \n",14 "\n",15 "## <font color='black'> **Contexte**\n",16 " \n",17 "L'objectif du travail élaboré dans le notebook suivant s'agit de développer un algorithme de Machine Learning destiné à assigner automatiquement plusieurs tags pertinents à une question posée sur le site Stack overflow. Le programme proposé s'adresse principalement aux nouveaux utilisateurs pour leur suggérer quelques tags relatifs à la question posée. Le jeu de données initial provient du site StackOverflow, il a été chargé et nettoyé (préprocessé) en employant les techniques de la NLP dont la suppression des stops words, la supression de la ponctuation et des mots très ou peu fréquents ainsi que la tokenisation et la lemmatisation. Le jeu de données préprocessé est à charger au début de ce notebook. L'objectif est d'élaborer et étudier les différents modèles ML non supervisés et supervisés et comparer entre eux en se basant sur les métriques communement utilisées mais aussi sur le contexte du projet.\n"18 ]19 },20 {21 "cell_type": "code",22 "execution_count": 266,23 "id": "dd1c5806-cd8f-4135-bc32-0ad03c48f518",24 "metadata": {},25 "outputs": [],26 "source": [27 "#import des librairies\n",28 "import pandas as pd\n",29 "import numpy as np\n",30 "import matplotlib.pyplot as plt\n",31 "import seaborn as sns\n",32 "import time\n",33 "import warnings\n",34 "import re\n",35 "import nltk\n",36 "\n",37 "from nltk.tokenize import WordPunctTokenizer\n",38 "from nltk.corpus import stopwords\n",39 "\n",40 "from collections import Counter\n",41 "\n",42 "#!pip install nltk\n",43 "# nltk.download('stopwords')\n",44 "#options\n",45 "warnings.simplefilter(action='ignore', category=FutureWarning)\n",46 "pd.set_option('display.max_colwidth', -1)"47 ]48 },49 {50 "cell_type": "code",51 "execution_count": 3,52 "id": "3c044d18-fe5f-4f71-bbce-4230c3a5936a",53 "metadata": {},54 "outputs": [],55 "source": [56 "# Création du dataframe\n",57 "#Runing SQL Query on: https://data.stackexchange.com/stackoverflow/query/edit/1660563\n",58 "#SELECT TOP 500000 Title, Body, Tags, Id, Score, ViewCount, FavoriteCount, AnswerCount\n",59 "#FROM Posts \n",60 "#WHERE PostTypeId = 1 AND ViewCount > 10 AND FavoriteCount > 10\n",61 "#AND Score > 5 AND AnswerCount > 0 AND LEN(Tags) - LEN(REPLACE(Tags, '<','')) >= 5\n",62 "data = pd.read_csv('QueryResults.csv')"63 ]64 },65 {66 "cell_type": "code",67 "execution_count": 4,68 "id": "b1607193-a351-4331-aefb-911e0f362073",69 "metadata": {},70 "outputs": [71 {72 "data": {73 "text/plain": [74 "(27970, 8)"75 ]76 },77 "execution_count": 4,78 "metadata": {},79 "output_type": "execute_result"80 }81 ],82 "source": [83 "data.shape"84 ]85 },86 {87 "cell_type": "code",88 "execution_count": 5,89 "id": "407f06a4-df3f-4fdd-b6b4-39165cf1a039",90 "metadata": {},91 "outputs": [92 {93 "data": {94 "text/html": [95 "<div>\n",96 "<style scoped>\n",97 " .dataframe tbody tr th:only-of-type {\n",98 " vertical-align: middle;\n",99 " }\n",100 "\n",101 " .dataframe tbody tr th {\n",102 " vertical-align: top;\n",103 " }\n",104 "\n",105 " .dataframe thead th {\n",106 " text-align: right;\n",107 " }\n",108 "</style>\n",109 "<table border=\"1\" class=\"dataframe\">\n",110 " <thead>\n",111 " <tr style=\"text-align: right;\">\n",112 " <th></th>\n",113 " <th>Title</th>\n",114 " <th>Body</th>\n",115 " <th>Tags</th>\n",116 " <th>Id</th>\n",117 " <th>Score</th>\n",118 " <th>ViewCount</th>\n",119 " <th>FavoriteCount</th>\n",120 " <th>AnswerCount</th>\n",121 " </tr>\n",122 " </thead>\n",123 " <tbody>\n",124 " <tr>\n",125 " <th>0</th>\n",126 " <td>delegate keyword vs. lambda notation</td>\n",127 " <td><p>Once it is compiled, is there a difference between:</p>\\n\\n<pre><code>delegate { x = 0; }\\n</code></pre>\\n\\n<p>and</p>\\n\\n<pre><code>() =&gt; { x = 0 }\\n</code></pre>\\n\\n<p>?</p>\\n</td>\n",128 " <td><c#><.net><delegates><lambda><anonymous-methods></td>\n",129 " <td>299703</td>\n",130 " <td>190</td>\n",131 " <td>73523</td>\n",132 " <td>87</td>\n",133 " <td>6</td>\n",134 " </tr>\n",135 " <tr>\n",136 " <th>1</th>\n",137 " <td>Record Video of Screen using .NET technologies</td>\n",138 " <td><p>Is there a way to record the screen, either desktop or window, using .NET technologies.</p>\\n\\n<p>My goal is something free. I like the idea of small, low cpu usage, and simple, but would consider other options if they created a better final product.</p>\\n\\n<p>In a nutshell, I know how to take a screenshot in C#, but how would I record the screen, or area of the screen, as a video?</p>\\n\\n<p>Thanks a lot for your ideas and time!</p>\\n</td>\n",139 " <td><c#><.net><video><capture><video-capture></td>\n",140 " <td>397754</td>\n",141 " <td>22</td>\n",142 " <td>52416</td>\n",143 " <td>30</td>\n",144 " <td>5</td>\n",145 " </tr>\n",146 " <tr>\n",147 " <th>2</th>\n",148 " <td>Is there any way to automate windows forms testing?</td>\n",149 " <td><p>I am familiar with nunit for unit testing of the business layer however I am looking now to automate the test of the win forms gui layer. </p>\\n\\n<p>I have seen <a href=\"http://watin.sourceforge.net/\" rel=\"noreferrer\">watin</a> and the watin recorder for automating tests on web application by accessing the controls and automating them. However I am struggling to find a watin equivalent for windows forms (written in c# or vb.net) preferably that is open source. </p>\\n\\n<p>Does one exist or are all products based on recording mouse and keyboard presses?</p>\\n\\n<p><strong>Update:</strong> I have looked at this <a href=\"http://blog.benhall.me.uk/2008/02/project-white-automated-ui-testing.html\" rel=\"noreferrer\">blog post on white</a> and it seems the sort of thing I am looking for. The blog post raises some issues but as white is only in version 0.6 these may be resolved. Be interested if others have used white or any others for comparison. </p>\\n</td>\n",150 " <td><c#><.net><vb.net><winforms><automated-tests></td>\n",151 " <td>25343</td>\n",152 " <td>54</td>\n",153 " <td>36893</td>\n",154 " <td>24</td>\n",155 " <td>9</td>\n",156 " </tr>\n",157 " <tr>\n",158 " <th>3</th>\n",159 " <td>Java configuration framework</td>\n",160 " <td><p>I'm in the process of weeding out all hardcoded values in a Java library and was wondering what framework would be the best (in terms of zero- or close-to-zero configuration) to handle run-time configuration? I would prefer XML-based configuration files, but it's not essential. </p>\\n\\n<p>Please do only reply if you have practical experience with a framework. I'm not looking for examples, but experience...</p>\\n</td>\n",161 " <td><java><xml><configuration><frameworks><configurationmanager></td>\n",162 " <td>25765</td>\n",163 " <td>76</td>\n",164 " <td>30564</td>\n",165 " <td>28</td>\n",166 " <td>14</td>\n",167 " </tr>\n",168 " </tbody>\n",169 "</table>\n",170 "</div>"171 ],172 "text/plain": [173 " Title \\\n",174 "0 delegate keyword vs. lambda notation \n",175 "1 Record Video of Screen using .NET technologies \n",176 "2 Is there any way to automate windows forms testing? \n",177 "3 Java configuration framework \n",178 "\n",179 " Body \\\n",180 "0 <p>Once it is compiled, is there a difference between:</p>\\n\\n<pre><code>delegate { x = 0; }\\n</code></pre>\\n\\n<p>and</p>\\n\\n<pre><code>() => { x = 0 }\\n</code></pre>\\n\\n<p>?</p>\\n \n",181 "1 <p>Is there a way to record the screen, either desktop or window, using .NET technologies.</p>\\n\\n<p>My goal is something free. I like the idea of small, low cpu usage, and simple, but would consider other options if they created a better final product.</p>\\n\\n<p>In a nutshell, I know how to take a screenshot in C#, but how would I record the screen, or area of the screen, as a video?</p>\\n\\n<p>Thanks a lot for your ideas and time!</p>\\n \n",182 "2 <p>I am familiar with nunit for unit testing of the business layer however I am looking now to automate the test of the win forms gui layer. </p>\\n\\n<p>I have seen <a href=\"http://watin.sourceforge.net/\" rel=\"noreferrer\">watin</a> and the watin recorder for automating tests on web application by accessing the controls and automating them. However I am struggling to find a watin equivalent for windows forms (written in c# or vb.net) preferably that is open source. </p>\\n\\n<p>Does one exist or are all products based on recording mouse and keyboard presses?</p>\\n\\n<p><strong>Update:</strong> I have looked at this <a href=\"http://blog.benhall.me.uk/2008/02/project-white-automated-ui-testing.html\" rel=\"noreferrer\">blog post on white</a> and it seems the sort of thing I am looking for. The blog post raises some issues but as white is only in version 0.6 these may be resolved. Be interested if others have used white or any others for comparison. </p>\\n \n",183 "3 <p>I'm in the process of weeding out all hardcoded values in a Java library and was wondering what framework would be the best (in terms of zero- or close-to-zero configuration) to handle run-time configuration? I would prefer XML-based configuration files, but it's not essential. </p>\\n\\n<p>Please do only reply if you have practical experience with a framework. I'm not looking for examples, but experience...</p>\\n \n",184 "\n",185 " Tags Id \\\n",186 "0 <c#><.net><delegates><lambda><anonymous-methods> 299703 \n",187 "1 <c#><.net><video><capture><video-capture> 397754 \n",188 "2 <c#><.net><vb.net><winforms><automated-tests> 25343 \n",189 "3 <java><xml><configuration><frameworks><configurationmanager> 25765 \n",190 "\n",191 " Score ViewCount FavoriteCount AnswerCount \n",192 "0 190 73523 87 6 \n",193 "1 22 52416 30 5 \n",194 "2 54 36893 24 9 \n",195 "3 76 30564 28 14 "196 ]197 },198 "execution_count": 5,199 "metadata": {},200 "output_type": "execute_result"201 }202 ],203 "source": [204 "data.head(4)"205 ]206 },207 {208 "cell_type": "markdown",209 "id": "712a4ee0-eac0-4010-93b8-5c88e3ec00dd",210 "metadata": {},211 "source": [212 "## <font color='black'> **I. Analyse Exploratoire de la base de données**"213 ]214 },215 {216 "cell_type": "code",217 "execution_count": 6,218 "id": "2909fe86-21a2-414a-a065-cdcdf9c320fe",219 "metadata": {},220 "outputs": [221 {222 "name": "stdout",223 "output_type": "stream",224 "text": [225 "Title 0.0\n",226 "Body 0.0\n",227 "Tags 0.0\n",228 "Id 0.0\n",229 "Score 0.0\n",230 "ViewCount 0.0\n",231 "FavoriteCount 0.0\n",232 "AnswerCount 0.0\n",233 "dtype: float64\n"234 ]235 }236 ],237 "source": [238 "# Recherche des valeurs manquantes\n",239 "print((data.isna().sum()/data.shape[0]).sort_values(ascending = True))"240 ]241 },242 {243 "cell_type": "markdown",244 "id": "2b69d9cd-2b72-42c8-b107-218a42209de9",245 "metadata": {},246 "source": [247 "### <u> **I.1. Analyse des commentaires et du Score**"248 ]249 },250 {251 "cell_type": "code",252 "execution_count": 7,253 "id": "17621f2c-2603-4e9b-9d48-3565fcab9a3a",254 "metadata": {},255 "outputs": [256 {257 "name": "stdout",258 "output_type": "stream",259 "text": [260 "Using matplotlib backend: Qt5Agg\n",261 "Populating the interactive namespace from numpy and matplotlib\n"262 ]263 },264 {265 "data": {266 "image/png": "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\n",267 "text/plain": [268 "<Figure size 2880x1080 with 2 Axes>"269 ]270 },271 "metadata": {272 "needs_background": "light"273 },274 "output_type": "display_data"275 },276 {277 "name": "stdout",278 "output_type": "stream",279 "text": [280 "\n",281 "--------------------------------------------------\n",282 "\n",283 "Indicateurs statistiques de distribution de la variable Score:\n"284 ]285 },286 {287 "data": {288 "text/plain": [289 "count 27970.000000\n",290 "mean 114.434287 \n",291 "std 352.596260 \n",292 "min 6.000000 \n",293 "25% 29.000000 \n",294 "50% 52.000000 \n",295 "75% 100.000000 \n",296 "max 26689.000000\n",297 "Name: Score, dtype: float64"298 ]299 },300 "metadata": {},301 "output_type": "display_data"302 }303 ],304 "source": [305 "%pylab \n",306 "%matplotlib inline\n",307 "import seaborn as sns\n",308 "\n",309 "fig, ax = plt.subplots(nrows=1, ncols=2, figsize=(40,15))\n",310 "sns.histplot(data=data, x=data.Score, ax=ax[0])\n",311 "ax[0].set_xlabel(f\"{'Score'}\",fontsize=26)\n",312 "ax[0].set_xlim(1, 200)\n",313 "ax[0].set_ylabel(\"Nombre d'observations\",fontsize=26)\n",314 "ax[0].set_title(f\"Histograme de la variable {'Score'}\",fontsize=32)\n",315 " \n",316 "sns.boxplot(data=data, x='Score')\n",317 "ax[1].set_xlabel(f\"{'Score'}\")\n",318 "ax[1].set_ylabel(\"Nombre d'oservations\")\n",319 "ax[1].set_title(f\"Boîte à moustaches de la variable {'Score'}\")\n",320 "plt.show()\n",321 " \n",322 "print(\"\\n\" + \"-\" * 50 + \"\\n\")\n",323 "print(f\"Indicateurs statistiques de distribution de la variable {'Score'}:\")\n",324 "display(data['Score'].describe())\n"325 ]326 },327 {328 "cell_type": "code",329 "execution_count": 8,330 "id": "940b0cbf-de64-436f-a537-5160ba0b51cb",331 "metadata": {},332 "outputs": [333 {334 "data": {335 "image/png": "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\n",336 "text/plain": [337 "<Figure size 432x288 with 1 Axes>"338 ]339 },340 "metadata": {341 "needs_background": "light"342 },343 "output_type": "display_data"344 }345 ],346 "source": [347 "fig, ax = plt.subplots()\n",348 "sns.boxplot(data=data, x='Score',showfliers = False)\n",349 "ax.set_xlabel(f\"{'Score'}\",fontsize=14)\n",350 "ax.set_ylabel(\"Nombre d'observations\",fontsize=14)\n",351 "ax.set_title(f\"Boîte à moustaches de la variable {'Score'}\",fontsize=18)\n",352 "plt.show()"353 ]354 },355 {356 "cell_type": "markdown",357 "id": "e6e6f845-41cd-41b7-94ed-58e29bd31992",358 "metadata": {},359 "source": [360 "**L'analyse des graphes ci-dessus montre que 3/4 des données ont un score inférieur à 100. La distribtion de la variable score est biaisée vers la droite et non centrée.**"361 ]362 },363 {364 "cell_type": "markdown",365 "id": "85c6d0f8-c643-475c-82b6-755fc8826580",366 "metadata": {},367 "source": [368 "### <u> **I.2. Histogrammes & Etude de la corrélation entre les variables numériques**"369 ]370 },371 {372 "cell_type": "code",373 "execution_count": 9,374 "id": "b5cb10f5-92ab-4257-9ede-a4f216bd56d4",375 "metadata": {},376 "outputs": [377 {378 "data": {379 "text/plain": [380 "Title object\n",381 "Body object\n",382 "Tags object\n",383 "Id int64 \n",384 "Score int64 \n",385 "ViewCount int64 \n",386 "FavoriteCount int64 \n",387 "AnswerCount int64 \n",388 "dtype: object"389 ]390 },391 "execution_count": 9,392 "metadata": {},393 "output_type": "execute_result"394 }395 ],396 "source": [397 "data.dtypes"398 ]399 },400 {401 "cell_type": "code",402 "execution_count": 10,403 "id": "e4ee6cec-9e66-47eb-92c8-f6e71ef7ffcb",404 "metadata": {},405 "outputs": [406 {407 "data": {408 "image/png": "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\n",409 "text/plain": [410 "<Figure size 432x288 with 1 Axes>"411 ]412 },413 "metadata": {414 "needs_background": "light"415 },416 "output_type": "display_data"417 },418 {419 "data": {420 "image/png": "iVBORw0KGgoAAAANSUhEUgAAAY4AAAEGCAYAAABy53LJAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjQuMywgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy/MnkTPAAAACXBIWXMAAAsTAAALEwEAmpwYAAAZJklEQVR4nO3df7Bc5X3f8fd3ryTA/DRIrmVEInDkOJrUtWUZ8Dh1m6a2EXWtpHam4LjYJK3CGDpJO0mjhNTjjtuOmx9uS0JRSEvGuE5wbceN3OLB4Nbhj0CQnIAAg0AmEASKfQUTMMhFSPvtH+fsvburvefsinu0e+++XzN3dvfsefY+D8vcj57z/DiRmUiSNKzWuCsgSVpaDA5J0kgMDknSSAwOSdJIDA5J0khWjLsCJ8Lq1atz/fr1466GJC0p3/jGNw5m5pr+41MRHOvXr2f37t3jroYkLSkR8cSg416qkiSNxOCQJI3E4JAkjcTgkCSNxOCQJI3E4JAkjcTgkCSNxOCQJI3E4Kjx8tE2f+83vs4d3/z2uKsiSRPB4KjxvZeP8tjBF9k3+8K4qyJJE8HgqJHt4vFo2zslShIYHLXa5a11DQ5JKhgcNQwOSeplcNTo5IXBIUkFg6NGdnocaXBIEhgctTpxYY9DkgoGRw3HOCSpl8FRwzEOSeplcNRot+1xSFI3g6NGZ0z8iMEhSYDBUWt+jKM95ppI0mQwOGrMB8eYKyJJE8LgqDE/OG5ySBIYHLXmFwCOuSKSNCEMjhrzCwDtcUgSGBy1XAAoSb0Mjhpt78chST0Mjhr2OCSpl8FRwwWAktTL4KjR6XG03VZdkoCGgyMiLomIvRGxLyK2D3g/IuK68v09EbFphLK/EBEZEaubbEMnMI44H1eSgAaDIyJmgOuBLcBG4PKI2Nh32hZgQ/mzDbhhmLIRcR7wLuAvm6p/h7vjSlKvJnscFwL7MvOxzDwM3AJs7TtnK3BzFu4GzoqItUOU/Y/Av2J+mUVjvAOgJPVqMjjOBZ7ser2/PDbMOQuWjYj3AU9l5n1VvzwitkXE7ojYPTs7e3wtwB6HJPVrMjhiwLH+v74LnTPweES8CrgW+FjdL8/MGzNzc2ZuXrNmTW1lKz4HMDgkqaPJ4NgPnNf1eh3w9JDnLHT89cD5wH0R8Xh5/M8i4rWLWvMu9jgkqVeTwbEL2BAR50fEKuAyYGffOTuBK8rZVRcDz2XmgYXKZub9mfmazFyfmespAmZTZv5VU42wxyFJvVY09cGZeSQirgFuA2aAmzLzwYi4qnx/B3ArcCmwDzgEXFlVtqm6VrHHIUm9GgsOgMy8lSIcuo/t6HqewNXDlh1wzvpXXstqbWdVSVIPV47XcAGgJPUyOGp0OhpuOSJJBYOjxlyPwzEOSQIMjloOjktSL4OjhvfjkKReBkeNtMchST0MjhouAJSkXgZHDcc4JKmXwVHDBYCS1MvgqNE9OJ6GhyQZHHW6s8KrVZJkcNTqXjF+pN0eY00kaTIYHDW6exnmhiQZHLXscUhSL4Ojjj0OSephcNSwxyFJvQyOGt1jHC4ClCSDo1Z3j8NFgJJkcNTqXvTnXQAlyeCo1TMd1x6HJBkcdXoHxw0OSTI4avQuADQ4JMngqJH2OCSph8FRo2dWlcEhSQZHnXQdhyT1MDhq9CwAdFaVJBkcdbxUJUm9DI4aLgCUpF4GRw0XAEpSL4OjhgsAJamXwVHDBYCS1MvgqOECQEnqZXDUcFaVJPUyOGp4IydJ6mVw1EgXAEpSD4OjRvZcqvKe45LUaHBExCURsTci9kXE9gHvR0RcV76/JyI21ZWNiE+U594bEV+NiNc12YbeMY4mf5MkLQ2NBUdEzADXA1uAjcDlEbGx77QtwIbyZxtwwxBlfz0z35SZbwb+F/CxptoA/WMcJockNdnjuBDYl5mPZeZh4BZga985W4Gbs3A3cFZErK0qm5nPd5U/FWh04MEFgJLUa0WDn30u8GTX6/3ARUOcc25d2Yj4d8AVwHPAjy5elY+VLgCUpB5N9jhiwLH+v7wLnVNZNjOvzczzgM8C1wz85RHbImJ3ROyenZ0dssrHsschSb2aDI79wHldr9cBTw95zjBlAX4feP+gX56ZN2bm5szcvGbNmhGrPq+dyaqZ4j+T6zgkqdng2AVsiIjzI2IVcBmws++cncAV5eyqi4HnMvNAVdmI2NBV/n3Aww22gXbCipmiA2RwSFKDYxyZeSQirgFuA2aAmzLzwYi4qnx/B3ArcCmwDzgEXFlVtvzoT0bEDwJt4AngqqbaUNQFVs60gKMuAJQkmh0cJzNvpQiH7mM7up4ncPWwZcvjAy9NNSUzWdnpcXgjJ0ly5XiddiYrWuUYhz0OSTI46rQTZlpBhGMckgQGR612JhGwohUGhyRhcNTKhFYEMwaHJAEGR612Jq2AmQgXAEoSBkettj0OSephcNTojHEYHJJUGCo4IuKLEfEPImLqgiYzyx5Hy+m4ksTwPY4bgA8Cj0bEJyPijQ3WaaLMD467AFCSYMjgyMw7MvOngE3A48DtEfEnEXFlRKxssoLjNj8d1x6HJMEIYxwRcQ7wEeCfAn8O/GeKILm9kZpNiHZCRNBquQBQkmDIvaoi4g+BNwKfAf5huYMtwOciYndTlZsEWU7HXdFqGRySxPCbHP7XctPBORFxUma+lJmbG6jXxOhMx2255YgkAcNfqvq3A47dtZgVmVRtexyS1KOyxxERr6W4//cpEfEW5m/pegbwqobrNhHmxzhcOS5JUH+p6j0UA+LrgE91Hf8u8CsN1WmizI9xBEfb7XFXR5LGrjI4MvPTwKcj4v2Z+cUTVKeJ0p5bAAgu45Ck+ktVH8rM/w6sj4h/2f9+Zn5qQLFlpd3uWgBoj0OSai9VnVo+ntZ0RSZVUu5VFe5VJUlQf6nqd8rHf3NiqjN5ium40CI4Yo9Dkobe5PDXIuKMiFgZEV+LiIMR8aGmKzcJOpscrpixxyFJMPw6jndn5vPAe4H9wBuAX2ysVhNkfgGgwSFJMHxwdDYyvBT4g8x8tqH6TJyee467yaEkDb3lyJcj4mHge8BHI2IN8P+aq9bkmOtxtIIjzseVpKG3Vd8OvB3YnJkvAy8CW5us2KToXgDYtschSUP3OAB+iGI9R3eZmxe5PhOnswDQLUckqTDstuqfAV4P3AscLQ8n0xAc7WKvqhXec1ySgOF7HJuBjZnTd60mKdZxzBgckgQMP6vqAeC1TVZkUmW6clySug3b41gNfDMi7gFe6hzMzPc1UqsJ0nYBoCT1GDY4Pt5kJSaZCwAlqddQwZGZfxwR3w9syMw7IuJVwEyzVZsMLgCUpF7D7lX1z4AvAL9THjoX+J8N1WmiZNcCwKMuAJSkoQfHrwbeATwPkJmPAq9pqlKTpN19B0B7HJI0dHC8lJmHOy/KRYBT8VfUBYCS1GvY4PjjiPgV4JSIeBfweeDLzVVrcrgAUJJ6DRsc24FZ4H7gZ4FbgV9tqlKTZH6vqhZH28kUroGUpB7DbnLYphgM/2hmfiAzf3eYVeQRcUlE7I2IfRGxfcD7ERHXle/viYhNdWUj4tcj4uHy/C9FxFnDtOF4JRABK2cCgJcdIJc05SqDo/zD/vGIOAg8DOyNiNmI+FjdB0fEDHA9sAXYCFweERv7TtsCbCh/tgE3DFH2duCHM/NNwCPALw/V0uM0vwCw+E/l7WMlTbu6HsfPU8ymeltmnpOZZwMXAe+IiH9RU/ZCYF9mPlYOrN/CsVuxbwVuzsLdwFkRsbaqbGZ+NTOPlOXvBtYN1dLj1M75MQ6wxyFJdcFxBXB5Zv5F50BmPgZ8qHyvyrnAk12v95fHhjlnmLIAPw18ZdAvj4htEbE7InbPzs7WVHVhnTGOlZ0ex1F7HJKmW11wrMzMg/0HM3OW+dvJLiQGHOv/5/pC59SWjYhrgSPAZwf98sy8MTM3Z+bmNWvW1FR1YZ0tR1aUYxxOyZU07eq2HDl8nO9B0Us4r+v1OuDpIc9ZVVU2Ij4MvBf4saa3eu8sAFzZKjL2ZXsckqZcXXD8rYh4fsDxAE6uKbsL2BAR5wNPAZcBH+w7ZydwTUTcQjF28lxmHoiI2YXKRsQlwC8BfyczD9XU4RVrt7MY4+j0OBzjkDTlKoMjM497I8PMPBIR1wC3UWyIeFNmPhgRV5Xv76BYD3IpsA84BFxZVbb86N8GTgJujwiAuzPzquOtZ3076JtVZXBImm6j3HN8ZJl5K0U4dB/b0fU8KfbBGqpsefwHFrmalbr3qgKn40rSsCvHp1YCrdb8dFwvVUmadgZHjXYmwfx0XAfHJU27Ri9VLQedBYB3PlqsBfnK/X/FQwe+O/f+By/6vnFVTZLGwh5Hjc4CwJliIN57ckiaegZHjc4CwJlyjKPtrCpJU87gqNGZVdWyxyFJgGMclTKTLMc4yrFxexySpp7BUaHTuWhFkGVwOBtX0rQzOCq0y+QohjfKS1X2OCRNOYOjQicjWq0gyudeqpI07Rwcr5BdO7mXk6rmeiGSNK3scVToHuPoBIezqiRNO3scFbrHOOam43qpStKUMzgqtLt6HC4AlKSCwVGh0+OIngWA46yRJI2fwVEhy41wu3scXqqSNO0Mjgq9Yxy9xyRpWhkcFeaCoxVEObPKHoekaWdwVOhkRHlvc2Za4eC4pKlncFTIni1HirEO13FImnYGR4VORATzPQ4vVUmadgZHhXZfj2MmAnND0rQzOCp0LwCEYpDcMQ5J087gqNAJiej0OFqOcUiSwVEh+3scTseVJIOjyvw6juJ1K8IFgJKmnsFRYX5w3FlVktRhcFQYuADQHoekKWdwVBi4ANAeh6QpZ3BUGLwAcHz1kaRJYHBUGLwA0B6HpOlmcFRol72LmFsA6HRcSTI4KtjjkKRjGRwVjlkA6HRcSTI4qvQvAHQ6riQZHJU6ITG3jsPpuJJkcFQZuDuuuSFpyjUaHBFxSUTsjYh9EbF9wPsREdeV7++JiE11ZSPiJyPiwYhoR8TmJuvvAkBJOlZjwRERM8D1wBZgI3B5RGzsO20LsKH82QbcMETZB4B/BNzZVN07+nscM07HlaRGexwXAvsy87HMPAzcAmztO2crcHMW7gbOioi1VWUz86HM3Ntgved0ehxlh8PpuJJEs8FxLvBk1+v95bFhzhmmbKWI2BYRuyNi9+zs7ChF5/Rvcuh0XElqNjhiwLH+v7oLnTNM2UqZeWNmbs7MzWvWrBmlaPdnAC4AlKRuKxr87P3AeV2v1wFPD3nOqiHKNm5ujKPVO6sqM+d6IZI0bZrscewCNkTE+RGxCrgM2Nl3zk7ginJ21cXAc5l5YMiyjTtmy5HyiVerJE2zxnocmXkkIq4BbgNmgJsy88GIuKp8fwdwK3ApsA84BFxZVRYgIn4C+C1gDfC/I+LezHxPE20YtAAQiplVnRCRpGnT5KUqMvNWinDoPraj63kCVw9btjz+JeBLi1vTwQbtVQU4ziFpqrlyvMKxu+MWj86skjTNDI4Kg7YcAThqj0PSFDM4KvRfkuqMcbTtcUiaYgZHhYXGOLxUJWmaGRwVsv9+HOGlKkkyOCosNMbRuRe5JE0jg6PCoHuOgz0OSdPN4KhwzALA8r+Wg+OSppnBUcHBcUk6lsFRYaFLVa4clzTNDI4Kx94B0DEOSTI4KsyPcRSvWy4AlCSDo1LfHQDnehxOx5U0xQyOCv1jHO5VJUkGR6Vjxji8VCVJBkeV/jEOB8clyeCoNLdXVWcdRxkg9jgkTTODo4L345CkYxkcFRbcq8oeh6QpZnBUaC8wHddLVZKmmcFRIfun485tOTKuGknS+BkcFY7dHdcxDkkyOCrM7447/xjAEZeOS5piBkeF/llVEcEZp6zkrw+9PMZaSdJ4GRwV+hcAApxz6ioOvvDSmGokSeNncFToXwAIsPq0k3jmxcPjqpIkjZ3BUaH/UhXAOaet4tDhoxw6fGRMtZKk8TI4KvQvAISixwHwzAv2OiRNJ4OjQv8CQCh6HIDjHJKmlsFRITN7ehsAZ5+6igAO2uOQNKUMjgrtzJ7eBsCKVotXO7NK0hQzOCpkckyPA4opuc+8aHBImk4GR4V2ckyPA4oB8oMvHJ6britJ08TgqDBojANg3atP4fCRNo8dfPHEV0qSxszgqNDO7FnD0fHD557Jq1bNcNe3nhlDrSRpvAyOCu1kYHCsnGnxtvVn89CB53ny2UNjqJkkjY/BUaGYVTX4vYsvOIcI+Nd/9ICryCVNlUaDIyIuiYi9EbEvIrYPeD8i4rry/T0RsamubEScHRG3R8Sj5eOrm6p/LtDjADjzlJW8902v485HZvnADXfx+d1P8qx7WEmaAiua+uCImAGuB94F7Ad2RcTOzPxm12lbgA3lz0XADcBFNWW3A1/LzE+WgbId+KUm2tBeYHC84+ILzuHMU1by5T1P84tf2APAa04/ibVnnsw7fmA1Z5yyktNPXsEZJ6+ce37KyhlmWkErilBqRTDTCiKKG0XNtIIVrRYzrWDlTMydE+W9QCKifBw840uSmtZYcAAXAvsy8zGAiLgF2Ap0B8dW4OYs5rXeHRFnRcRaYH1F2a3A3y3Lfxr4Og0FRyuClTPVnbIfWnsGb3zt6Tz1199j33de4IlnDvHEM4e4/6lvnZBbzC4UKHPPWfxwGTWv+mctJ6P9h6lqQ1VdjFUJdvyTt/K3N6xZ1M9sMjjOBZ7ser2foldRd865NWX/RmYeAMjMAxHxmkG/PCK2AdvKly9ExN7jaQRA/CoAq4GDx/sZS8Bybx8s/zbavqVv0dv4zk+8ouLfP+hgk8Ex6B98/f/UXOicYcpWyswbgRtHKVMlInZn5ubF+rxJs9zbB8u/jbZv6VsqbWxycHw/cF7X63XA00OeU1X22+XlLMrH7yxinSVJNZoMjl3Ahog4PyJWAZcBO/vO2QlcUc6uuhh4rrwMVVV2J/Dh8vmHgT9qsA2SpD6NXarKzCMRcQ1wGzAD3JSZD0bEVeX7O4BbgUuBfcAh4MqqsuVHfxL4HxHxM8BfAj/ZVBv6LNplrwm13NsHy7+Ntm/pWxJtDDfqkySNwpXjkqSRGBySpJEYHDXqtk2ZZBHxeETcHxH3RsTu8tiCW7ZExC+X7dwbEe/pOv7W8nP2lVvEjG1tXUTcFBHfiYgHuo4tWpsi4qSI+Fx5/E8jYv0EtO/jEfFU+T3eGxGXLuH2nRcR/zciHoqIByPi58rjy+k7XKiNy+Z7JDP9WeCHYmD+W8AFwCrgPmDjuOs1Qv0fB1b3Hfs1YHv5fDvwH8rnG8v2nQScX7Z7pnzvHuDtFOtrvgJsGWOb3glsAh5ook3AR4Ed5fPLgM9NQPs+DvzCgHOXYvvWApvK56cDj5TtWE7f4UJtXDbfoz2OanPbpmTmYaCz9clStpViqxbKxx/vOn5LZr6UmX9BMdPtwijWypyRmXdl8X/pzV1lTrjMvBN4tu/wYrap+7O+APzYiexhLdC+hSzF9h3IzD8rn38XeIhip4jl9B0u1MaFLLk2GhzVFtoSZalI4KsR8Y0otmCBvi1bgM6WLVXbv+wfcHySLGab5spk5hHgOeCcxmo+vGui2EH6pq7LOEu6feXllbcAf8oy/Q772gjL5Hs0OKq94q1PxuwdmbmJYhfiqyPinRXnNrb9yxgdT5smsb03AK8H3gwcAH6zPL5k2xcRpwFfBH4+M5+vOnXAsaXaxmXzPRoc1YbZNmViZebT5eN3gC9RXHpbaMuWqu1f1g04PkkWs01zZSJiBXAmw186akRmfjszj2ZmG/hdiu8Rlmj7ImIlxR/Uz2bmH5aHl9V3OKiNy+l7NDiqDbNtykSKiFMj4vTOc+DdwAMsvGXLTuCycrbG+RT3SLmnvGzw3Yi4uLyGegWTt83LYrap+7M+APyf8vry2HT+oJZ+guJ7hCXYvrI+/w14KDM/1fXWsvkOF2rjcvoeT9go/FL9odgS5RGKmQ7Xjrs+I9T7AoqZGvcBD3bqTnEd9GvAo+Xj2V1lri3buZeumVPAZor/yb8F/DbljgNjatcfUHTzX6b4V9fPLGabgJOBz1MMUN4DXDAB7fsMcD+wh+IPxtol3L4fobiksge4t/y5dJl9hwu1cdl8j245IkkaiZeqJEkjMTgkSSMxOCRJIzE4JEkjMTgkSSMxOKRFFBHXljui7il3QL1o3HWSFltjt46Vpk1EvB14L8XOqC9FxGqKXZWP9/NWZLEPkTRR7HFIi2ctcDAzXwLIzIOZ+XREvC0i/iQi7ouIeyLi9Ig4OSJ+r7zXwp9HxI8CRMRHIuLzEfFlig0qTy03xNtVnrfUd2fWMmCPQ1o8XwU+FhGPAHcAnwPuKh//cWbuiogzgO8BPweQmX8zIt5IERJvKD/n7cCbMvPZiPj3FNtJ/HREnAXcExF3ZOaLJ7Zp0jx7HNIiycwXgLcC24BZisD4WeBAZu4qz3m+vPz0IxRbUJCZDwNPAJ3guD0zOxvWvRvYHhH3Al+n2Gri+05Ee6SF2OOQFlFmHqX4A//1iLgfuJrB211X3XSnuzcRwPszc++iVVJ6hexxSIskIn4wIjZ0HXozxd3fXhcRbyvPOb3cBvtO4KfKY2+g6EUMCofbgH/eda/ptzTXAmk49jikxXMa8FvlWMQRip1LtwG/Vx4/hWJ84+8D/wXYUfZKjgAfKWdi9X/mJ4D/BOwpw+Nxiplb0ti4O64kaSReqpIkjcTgkCSNxOCQJI3E4JAkjcTgkCSNxOCQJI3E4JAkjeT/AzVSD45btFKoAAAAAElFTkSuQmCC\n",421 "text/plain": [422 "<Figure size 432x288 with 1 Axes>"423 ]424 },425 "metadata": {426 "needs_background": "light"427 },428 "output_type": "display_data"429 },430 {431 "data": {432 "image/png": "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\n",433 "text/plain": [434 "<Figure size 432x288 with 1 Axes>"435 ]436 },437 "metadata": {438 "needs_background": "light"439 },440 "output_type": "display_data"441 },442 {443 "data": {444 "image/png": "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\n",445 "text/plain": [446 "<Figure size 432x288 with 1 Axes>"447 ]448 },449 "metadata": {450 "needs_background": "light"451 },452 "output_type": "display_data"453 },454 {455 "data": {456 "image/png": "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\n",457 "text/plain": [458 "<Figure size 432x288 with 1 Axes>"459 ]460 },461 "metadata": {462 "needs_background": "light"463 },464 "output_type": "display_data"465 }466 ],467 "source": [468 "for col in data.select_dtypes('int64'):\n",469 " plt.figure()\n",470 " sns.distplot(data[col])"471 ]472 },473 {474 "cell_type": "code",475 "execution_count": 11,476 "id": "c840b28a-9c40-4f5b-9e32-56e3feeb107f",477 "metadata": {},478 "outputs": [479 {480 "data": {481 "text/plain": [482 "<seaborn.axisgrid.PairGrid at 0x1dff456caf0>"483 ]484 },485 "execution_count": 11,486 "metadata": {},487 "output_type": "execute_result"488 },489 {490 "data": {491 "image/png": "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\n",492 "text/plain": [493 "<Figure size 720x720 with 20 Axes>"494 ]495 },496 "metadata": {497 "needs_background": "light"498 },499 "output_type": "display_data"500 }501 ],502 "source": [503 "sns.pairplot(data = data, vars =['Score','ViewCount','FavoriteCount','AnswerCount'])"504 ]505 },506 {507 "cell_type": "markdown",508 "id": "7ec6a3e4-f844-4264-b0ad-91ac9f927bf2",509 "metadata": {},510 "source": [511 "**Les graphes précédents montrent que les variables Score et FavoriteCount sont fortement corrélées. La variable 'ViewCount' est assez corrélée avec la variable 'Score', moins avec les deux autres variables. Quant à la variables AnswerCount, elle ne montre pas de relation typique ou monotone avec les autres variables.**"512 ]513 },514 {515 "cell_type": "code",516 "execution_count": 12,517 "id": "aadea7f4-31f7-4c24-9bf0-ddb9f52aa385",518 "metadata": {},519 "outputs": [520 {521 "data": {522 "text/html": [523 "<div>\n",524 "<style scoped>\n",525 " .dataframe tbody tr th:only-of-type {\n",526 " vertical-align: middle;\n",527 " }\n",528 "\n",529 " .dataframe tbody tr th {\n",530 " vertical-align: top;\n",531 " }\n",532 "\n",533 " .dataframe thead th {\n",534 " text-align: right;\n",535 " }\n",536 "</style>\n",537 "<table border=\"1\" class=\"dataframe\">\n",538 " <thead>\n",539 " <tr style=\"text-align: right;\">\n",540 " <th></th>\n",541 " <th>Score</th>\n",542 " <th>ViewCount</th>\n",543 " <th>FavoriteCount</th>\n",544 " <th>AnswerCount</th>\n",545 " </tr>\n",546 " </thead>\n",547 " <tbody>\n",548 " <tr>\n",549 " <th>Score</th>\n",550 " <td>1.000000</td>\n",551 " <td>0.675819</td>\n",552 " <td>0.890899</td>\n",553 " <td>0.397046</td>\n",554 " </tr>\n",555 " <tr>\n",556 " <th>ViewCount</th>\n",557 " <td>0.675819</td>\n",558 " <td>1.000000</td>\n",559 " <td>0.507160</td>\n",560 " <td>0.482028</td>\n",561 " </tr>\n",562 " <tr>\n",563 " <th>FavoriteCount</th>\n",564 " <td>0.890899</td>\n",565 " <td>0.507160</td>\n",566 " <td>1.000000</td>\n",567 " <td>0.312702</td>\n",568 " </tr>\n",569 " <tr>\n",570 " <th>AnswerCount</th>\n",571 " <td>0.397046</td>\n",572 " <td>0.482028</td>\n",573 " <td>0.312702</td>\n",574 " <td>1.000000</td>\n",575 " </tr>\n",576 " </tbody>\n",577 "</table>\n",578 "</div>"579 ],580 "text/plain": [581 " Score ViewCount FavoriteCount AnswerCount\n",582 "Score 1.000000 0.675819 0.890899 0.397046 \n",583 "ViewCount 0.675819 1.000000 0.507160 0.482028 \n",584 "FavoriteCount 0.890899 0.507160 1.000000 0.312702 \n",585 "AnswerCount 0.397046 0.482028 0.312702 1.000000 "586 ]587 },588 "execution_count": 12,589 "metadata": {},590 "output_type": "execute_result"591 }592 ],593 "source": [594 "data[['Score','ViewCount','FavoriteCount','AnswerCount']].corr()"595 ]596 },597 {598 "cell_type": "code",599 "execution_count": 13,600 "id": "d85ec3c0-4f64-4b90-bfcf-de3f71bf8ee9",601 "metadata": {},602 "outputs": [603 {604 "data": {605 "text/plain": [606 "<AxesSubplot:>"607 ]608 },609 "execution_count": 13,610 "metadata": {},611 "output_type": "execute_result"612 },613 {614 "data": {615 "image/png": "iVBORw0KGgoAAAANSUhEUgAAAZkAAAE4CAYAAACJ5Y6FAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjQuMywgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy/MnkTPAAAACXBIWXMAAAsTAAALEwEAmpwYAAA6DklEQVR4nO3dd5gV5fn/8fdnz9KkLWUp0lVsFMFQBAURREFRUTCKMWp+Magx1hij0VhiTFRiL+FL1IhG0QgWRCJ2UZRioRcFpQnC0pZedvf+/THDsrss7KJ7zuzZc7+uay7PzDxnzj3jYe/zlHlGZoZzzjkXD2lRB+Ccc67i8iTjnHMubjzJOOecixtPMs455+LGk4xzzrm48STjnHMubjzJOOecQ9LTklZLmr2P/ZL0iKSFkmZKOrY0x/Uk45xzDuAZoN9+9vcHWofLUOCfpTmoJxnnnHOY2URg3X6KnAU8a4HJQIakxiUd15OMc8650mgCLCuwvjzctl/pcQsnRVVrPsTn6Ql1fOjKqEMoF7IemRt1COXGlAkl/vBNGXWrnKGfeowD+XuzfdmLlxE0c+02wsxGHMDHFRdviZ/vScY555KUVPrGqDChHEhSKWo50KzAelNgRUlv8uYy55xLUiKt1EsZGAtcFI4yOw7INrOVJb3JazLOOZek0tLK7k+4pFFAL6C+pOXA7UAlADMbDowHTgMWAluBX5XmuJ5knHMuSUk/uVsnn5kNKWG/AQfc0epJxjnnklb57/HwJOOcc0nqQDr+o+JJxjnnkpQnGeecc3GTpvL/J7z8R+icc65YXpNxzjkXN55knHPOxY2KnemlfPEk45xzScprMs455+LGk4xzzrm4kY8uc845Fy9ek3HOORc3nmScc87FTRlN4R9XnmSccy5JeU3GOedc3JTlVP/x4knGOeeSlM9d5pxzLm68uSyBJN0CXADkAnnAZWY2JdqoEmv4sMvo36cjWWs30qnvjVGHE1ddG2ZwbftDiEm8sXgVz329fK8yHevX5pr2rUhPE9k7crjy41kAnHfYwZzRsiEYLNq4lbu/+JqdeZboUygzPbo05dbfdScWE/99cz4jXphRaH+N6pW4/5beNG5Qg/SYeOqlmYx562sALh7Ulp8POBIB/31zPs+Mnh3BGcTPZ5/M56F7Xyc3L48zz+nKRb/uXWy5ubOX8psLH+Wu+y6k9ynHJDjKHy8Zkkz5j7AUJHUDBgDHmll74GRg2U84XlIm3+de/oizLron6jDiLg244ZhD+f2kOVzwzpec3DSTljWrFSpTo1KMGzocyh8/m8eF737FrVPnA1C/amXOPfRg/t/7M7jwva9IE5zcNDOCsygbaWnijmtO4NI//o/+F7/MgN6HcViLjEJlLhzYhoWL13PmpWO48Npx3PTb46iUnkbrVnX4+YAjGXT5q5xx6Rh6dWtOiya1ojmROMjNzeP+v73KA/+8lFGv/YF3/vcV3y36odhyTzz4Jl27HxFBlD+NSCv1EpUKkWSAxsAaM9sBYGZrzGyFpM6SPpU0Q9JUSTUlVZX0b0mzJH0l6SQASZdIelnSG8DbkqpLelrStLDcWVGeYGlMmjqfdRs2Rx1G3B1dtybLt2xnxdYd5Jjx7vIsejSuV6jMKc0y+WjFGlZt2wHA+h278vfFJKrE0ogJqsZirNm+M6Hxl6X2R2ay5Ptslq3cxK6cPN58fxF9jm9ZqIwZVD+oEgAHVatE9qYd5OTmcWjzDKbPXc32Hbnk5hrTpq/klB6tIjiL+Jg7eylNm9ejSdN6VKqUzsn9OjDxgzl7lXv5hU/o1bc9derWiCDKn0hppV8iUlGSzNtAM0lfS3pC0omSKgMvAdeY2TEEtZttwJUAZtYOGAKMlFQ1PE434GIz6w3cArxvZp2Bk4Bhkqon9rRccTKrVs5PHgBZ23aQWa1yoTLNalSjZqV0HuvRjqdP6kC/5g0AWLN9J6O++Z5X+3dm7Gld2bwrh6mrNyQy/DLVKLM6K7O25K//kLWFhpmFv6b/eXUOh7aow6QxFzLu34P566OfYgbffLeezu0bkVGrClWrxDjxuOY0alBxvuJZq7Jp0DAjf71BwwyyVmcXKrN6VTYfvT+bs8/tluDoykZaWqzUS1SSslmoKDPbLOlnQA+ChPAScDew0symhWU2Akg6AXg03DZf0hLg8PBQ75jZuvD1KcCZkm4I16sCzYF5CTgltz/FjNos2qMSkziiTg2u/ng2VWJpjOh1DHPWbWTDjl30aFyXwW9NY9OuXO7ueiSnNstkwrKshISeCGaFr0aPLk2Zt3Atv7xuHM2b1OKZf5zG5zPHsGjpBkaMmsEz/zidrdt2MX/RWnJzk7dvqqjizqTokN+H7nudK689nVgsOX9v+82YCWRmucCHwIeSZhHUWIr9nu3nMFsKvBYwyMwWlPTZkoYCQwHS63QivcZhpQ3b/QhZ23bSsFqV/PXMalVYs23nXmWyd25ge24e23PzmL4mm8NqB7/SV2zdzoadOQB8uGIt7erVStok80PWFhoXqLk0yqzO6jVbC5UZ1O8I/u+F6QAs/X4jy1du4pDmGcycn8Xo8QsYPT74il9/aWd+yNpCRdGgYW1Wr9qQv7561QbqZxbuc5o/Zxl//uN/AMhev4XPPp5HLD3Gib3bJjLUH807/hNE0hGSWhfY1IGgxnGwpM5hmZphh/5E4BfhtsMJaifFJZIJwFUKf/pI6rivzzezEWbWycw6eYKJv3nrN9G0RjUaH1SFdImTm2byycp1hcpMXLmWY+rVIiaoEkujTZ2aLNm0jVVbd9Cmbk2qhL9cO2XWZvHGrcV9TFKYtSCLlk1r07RRTSqlp3F670N579MlhcqsWL2Zbj9rAkC9OtVo1SyDZSs3AlA3I2gpbtygOqf0bMW49xYm9gTi6Kg2zVi2ZA0rlq9l164c3n1rOj16tSlU5pW3buHVcDmpb3tuuOWcpEkwAEilX0p1OPWTtEDSQkk3FbO/jqRXJc0M+7lLvFgVpSZTA3hUUgaQAywkqFn8O9xejaA/5mTgCWB4WNvJAS4xsx3F3Dl7F/AQMDNMNIsJRrCVWyMfvYoe3Y6ifp2aLJzyGHc9MJqRL30YdVhlLtfggemLePD4tsQE45as4rtNWxnYqhEAr333A0s2bWPyqvU82+dYzIyxi1fxbZhMPvh+Lc/07kBunvF19hZeX7z3iKNkkZtr3PnwJJ4e1p9YWhqj/7eAhYvXM+TMowAYNXYejz/7Jffe1ItxTw9GgmEjprA+O+jTeuwvfalTqyq7cvK486FP2Lg5eQdBFJWeHuP3fzqba6/4F3m5xoCBnTnksEa88t9PATjn590jjrAMlGE1QVIMeBzoCywHpkkaa2ZzCxT7EzDdzM6WdGRYvs9+j1u0/db9NNWaD/ELGur40JVRh1AuZD0yt+RCKWLKhMZRh1Bu1K1yxk+eE+bwbv8s9d+brz+7Yr+fF94KcoeZnRqu3wxgZn8vUOZN4O9m9km4vgjobmar9nXcCtFc5pxzKSmm0i8la0Lh+wuXh9sKmgGcAyCpC9ACaLq/g3qScc65JGVSqRdJQyV9XmAZWuRwxWWiojWle4A6kqYDVwFfEXQ77FNF6ZNxzrnUcwANbmY2AhixnyLLgWYF1psCK4ocYyPwK4Cwr/q7cNknr8k451yySlPpl5JNA1pLahXezH4+MLZgAUkZ4T6AS4GJu+9B3BevyTjnXLIqw+fJmFmOpN8R3L4RA542szmSLg/3DweOAp6VlAvMBX5d0nE9yTjnXLIq42eWmdl4YHyRbcMLvP4MaF30ffvjScY555JVEkyH40nGOeeSVfl/+rInGeecS1ql69CPlCcZ55xLVuU/x3iScc65ZGVlOLosXjzJOOdcsirddDGR8iTjnHPJymsyzjnn4sY7/p1zzsVN+c8xnmSccy5peXOZc865uPEk45xzLm58dJlzzrm4Kf85xpOMc84lK/PRZc455+LG+2Scc87FTfnPMZ5knHMuafnzZFJPx4eujDqEcuOrax+POoRyYfSki6IOodz4Jjsv6hDKja4NyuAgXpNxzjkXN97x75xzLm48yTjnnIsXK/85xpOMc84lrSSoyZT/oQnOOeeKF0sr/VIKkvpJWiBpoaSbitlfW9IbkmZImiPpVyUd05OMc84lq7QDWEogKQY8DvQHjgaGSDq6SLErgblmdgzQC7hfUuWSQnTOOZeMpNIvJesCLDSzb81sJ/AicFaRMgbUlCSgBrAOyNnfQb1PxjnnklXZ9sk0AZYVWF8OdC1S5jFgLLACqAmcZ2b7vfnJazLOOZekTCr1ImmopM8LLEOLHK64jGVF1k8FpgMHAx2AxyTV2l+MXpNxzrlkdQDVBDMbAYzYT5HlQLMC600JaiwF/Qq4x8wMWCjpO+BIYGoZhOicc65cKdvRZdOA1pJahZ355xM0jRW0FOgDIKkhcATw7f4O6jUZ55xLVmXYJ2NmOZJ+B0wAYsDTZjZH0uXh/uHAXcAzkmYRNK/90czW7O+4nmSccy5ZlfG9mGY2HhhfZNvwAq9XAKccyDE9yTjnXJLyJ2M655yLH08yzjnn4ibmScY551y8lO5O/kh5knHOuWTlzWXOOefixpOMc865eDFvLnPOORc3STBniycZ55xLVqV8GFmU4ppkJH0I/N3MJhTYdi1wNTDCzO75icfvAvwDaEgwW+gnwNVmtvWnHLfIZ1wCvB3e6Rqprg0zuLb9IcQk3li8iue+Xr5XmY71a3NN+1akp4nsHTlc+fEsAM477GDOaNkQDBZt3MrdX3zNzryiE6xWHMOHXUb/Ph3JWruRTn1vjDqcuJo3dR6vPfEKeXnGcf2Po8+QkwvtXzj9G56+7SnqNq4LQLsT2nPqL/sB8OKwF5g7ZS41Mmpw45N7PQgx6cycMo//PPwaeXl5nDjgOM64sE+x5b6dt5Q7L3+YK++4iC4nHQPAWy99xEfjJoNEs0Mac+nN51O5SqVEhn/gvE+GUQSTrE0osO184GIz+/inHDicnO1l4Hwz+yx8iM4ggmcclFmSAS4BZrP3bKQJlQbccMyhXPPJbFZv28lTJ3Xg45VrWbxpW36ZGpVi3NDhUK6fNIdV23ZQJ/wHUr9qZc499GAueOdLdublcVeXIzi5aSbjl66O6Gzi77mXP2L4yAk8+eBvow4lrvJy83jl0dFcfu8V1M7M4MErH6BN97Y0atGoULlD2h3CpXcXndkdOp/alRMG9uCFe59PVMhxk5ebx7MPvMKND15O3cza3P6bBzn2+DY0adVor3IvDR9Huy5H5G9bl7WBt8d8zD3P3UjlKpV57LaRTHnvK3qc1iXRp3Fgyn+OiXuL3mhggKQqAJJaEjyH4DBJj4XbMiWNkTQtXI4Pt8+SlKHAWkkXhdufk3QywWNAR5rZZwAWGG1mqyTVlfSapJmSJktqH773Dkk37A5O0mxJLcNlnqR/hc+tfltSNUmDgU7A85KmS6oW5+u1T0fXrcnyLdtZsXUHOWa8uzyLHo3rFSpzSrNMPlqxhlXbdgCwfseu/H0xiSqxNGKCqrEYa7bvTGj8iTZp6nzWbdgcdRhxt3TBEuofXJ96B9cnvVI6HXt1ZPakWaV+/6HtD+WgmgfFMcLEWTRvKQ2a1KfBwfVIr5TOcX068uUns/cq9/aYj+l8YntqZdQstD0vN4+dO3aRm5PLju27yKhfO1Gh/2iWplIvUYlrkjGztQTPGegXbjofeInCD8J5GHjQzDoT1ESeDLdPAo4H2hBMJd0j3H4cMBloC3yxj4++E/jKzNoDfwKeLUW4rYHHzawNsAEYZGajgc+BX5hZBzPbtr8DxFNm1cr5yQMga9sOMqsVfrR2sxrVqFkpncd6tOPpkzrQr3kDANZs38mob77n1f6dGXtaVzbvymHq6g2JDN/FSfaabDIa1Mlfz8jMIHtt9l7lFs9dzLCh9zHi5uH8sHhlIkNMmPVZ2dRrkJG/Xjczg/VrCl+LdVkb+GLiLHqf1b3Q9rqZGfQ/vxfXDb6LqwfewUE1qhaq6ZRbZfv45bhIRK/R7iYzwv+OKrL/ZIKnq00neHZBLUk1gY+BnuHyT6CdpCbAOjMr6SfqCcBzAGb2PlBPUkk/S74zs+nh6y+AliWUT6xiviNFe1RiEkfUqcENn87hukmz+dWRzWhWoyo1K8Xo0bgug9+axpnjp1ItPcapzTITEraLLyumW01FvixNWzfjzy/czh9G3MgJA3vy9O1PJSi6RCuuj7HwtXj+kdc574oBpBXpMN+yaStffjKb+1+6lYdfu4Md23YyacLncYy1jKSp9EtEEjG67DXgAUnHAtXM7MvdzVehNKBb0VqCpIkETWLNgVuAs4HBBMkHYA7wM+D1Yj5zX48RzaFwYq1a4PWOAq9zgVI3jYWPMR0KcMhlf6DhKWeW9q2llrVtJw2rVclfz6xWhTXbdu5VJnvnBrbn5rE9N4/pa7I5rHZ1AFZs3c6GnTkAfLhiLe3q1WLCsqwyj9MlVkZmbTasXp+/viFrA7XqFX4abtXqe77mR3c9mjGPvMzm7M3UqF0jYXEmQp3MDNYWqKGvy9pAnfqFr8V3C5bxxB3PAbApewszJs8jFksjNzeXzMZ1qVUnuCadTmzHN7MXc/ypnRIW/4+RFos6gpLFvSYT1jo+BJ5m71oMwNvA73avSOoQvm8ZUB9obWbfEowcu4E9SeYx4GJJXQu890JJjYCJwC/Cbb2ANWa2EVgMHBtuPxZoVYpT2EQwmGB/5zjCzDqZWad4JBiAees30bRGNRofVIV0iZObZvLJynWFykxcuZZj6tUiJqgSS6NNnZos2bSNVVt30KZuTaqEv946ZdZm8cayHBvhotLsiOZkfb+GtSvXkrMrh68+/Iq23dsWKrNx3UYsrPIsmb8EyzOq16oeRbhxdciRzVi1PIusFcG1mPzeV3Q8ofC1eOC/t/LAy3/mgZf/TOcTj+Hi6wfxs57tqNegDovmLGHH9p2YGXO++IaDWzSM6ExKLwlayxJ2n8wo4BX2NJsVdDXwuKSZYTwTgcvDfVMIntAGQXL5O0GyIezgPx/4h6QGQF743leAO4B/h8fcClwcHmMMcFHYNDcN+LoUsT8DDJe0jWJqXImSa/DA9EU8eHxbYoJxS1bx3aatDAxHzrz23Q8s2bSNyavW82yfYzEzxi5exbdhMvng+7U807sDuXnG19lbeH3xD1GcRsKMfPQqenQ7ivp1arJwymPc9cBoRr70YdRhlblYLMY5Vw1ixE3DycvLo0u/rjRq2ZhP35gEQPczjmfGxBl8+sYk0mJpVKpciV/eejEK/+o8d/dIFs5YxJbszdx5/u2cenF/jut/XJSn9KPF0mNcdN053Pf7EVheHj1P70LTVo14/7VPAeg9sPs+33tomxZ07nUMt/36AdJiabRo3YSTzuyWqNB/tCS44R9ZcY267kfr/sonfkFDX137eNQhlAujJ10UdQjlRv0qeVGHUG50bXD6T04Rh/5zYqn/3iy6omckKcnv+HfOuSSVDDUZTzLOOZekkqHj35OMc84lKa/JOOeci5skmLrMk4xzziWrZKjJlP95op1zzhWrrO+TkdRP0gJJCyXtNS23pD+E8zhOD+d+zJVUd3/H9CTjnHNJSlKpl1IcKwY8DvQHjgaGSDq6YBkzGxbO49gBuBn4yMzW7XWwAry5zDnnklQZjy7rAiwMZ1hB0ovAWcDcfZQfQvGzuBTiNRnnnEtSZdxc1gRYVmB9ebitmM/VQQSz648p6aCeZJxzLkkdSJKRNFTS5wWWok+x29fEwsU5A5hUUlMZeHOZc84lrQMZwmxmI4AR+ymyHGhWYL0p+34icHGPbSmW12Sccy5JlXFz2TSgtaRWkioTJJKxe3+magMnUvxjVvbiNRnnnEtSZXmfjJnlSPodMIFg9vunzWyOpMvD/cPDomcDb5vZltIc15OMc84lqbRY2d6NaWbjgfFFtg0vsv4MwSNQSsWTjHPOJalkuOPfk4xzziUpTzLOOefixifIdM45Fzdek3HOORc3/tAy55xzcVOaiS+j5knGOeeSVBLkGE8yzjmXrDzJOOecixtPMiko65F9PXoh9YyedFHUIZQLg49/NuoQyo1tS++MOoQKxYcwO+eci5v0tH3NxF9+eJJxzrkk5TUZ55xzcZMMz2rxJOOcc0kqTd5c5pxzLk68ucw551zceHOZc865uIn56DLnnHPx4s1lzjnn4saby5xzzsWNjy5zzjkXN95c5pxzLm7SPck455yLl2RoLkuGfiPnnHPFSFPpl9KQ1E/SAkkLJd20jzK9JE2XNEfSRyUd02syzjmXpMqyliApBjwO9AWWA9MkjTWzuQXKZABPAP3MbKmkBiUd15OMc84lqTJuLusCLDSzbwEkvQicBRR8SNYFwCtmthTAzFaXGGNZRuiccy5xyri5rAmwrMD68nBbQYcDdSR9KOkLSSU+mdBrMs45l6QOZHSZpKHA0AKbRpjZiIJFinlb0apSOvAzoA9QDfhM0mQz+3qfMZY+ROecc+XJgTSXhQllxH6KLAeaFVhvCqwopswaM9sCbJE0ETgG2GeS8eYy55xLUmXcXDYNaC2plaTKwPnA2CJlXgd6SEqXdBDQFZi3v4N6TcY555JUWdYSzCxH0u+ACUAMeNrM5ki6PNw/3MzmSXoLmAnkAU+a2ez9HbfEJCMpF5hVYNNAM1v8I8+jpM/61My6S2oJdDezF0rxnsOBhwg6pHYRxHqVma0qw7gGAl8XHMoXhR5dmnLr77oTi4n/vjmfES/MKLS/RvVK3H9Lbxo3qEF6TDz10kzGvBXUYi8e1JafDzgSAf99cz7PjN7v96Lcmzd1Hq898Qp5ecZx/Y+jz5CTC+1fOP0bnr7tKeo2rgtAuxPac+ov+wHw4rAXmDtlLjUyanDjk8XeClChDB92Gf37dCRr7UY69b0x6nDiauLEL7j77n+Rl5fHuef2ZejQcwvtf/fdyTz88POkpYlYLMaf/nQpnTq1AeDmmx/mww+nUa9ebcaNezyK8A9YWU8rY2bjgfFFtg0vsj4MGFbaY5amJrPNzDqU9oA/hqSYmeWaWfdwU0uCoXL7TTKSqgJvAteb2RvhtpOATKDMkgwwEBhH4aF8CZWWJu645gQuueFNfsjawpjhZ/P+pCUsXLIhv8yFA9uwcPF6LvvTBOrWrsqE537O2HcX0rJZbX4+4EgGXf4qu3LyeOq+/nzw2VKWfL8xqtP5SfJy83jl0dFcfu8V1M7M4MErH6BN97Y0atGoULlD2h3CpXcP3ev9nU/tygkDe/DCvc8nKuRIPffyRwwfOYEnH/xt1KHEVW5uLn/5y3D+/e+7aNiwHoMHX0/v3l057LDm+WW6dTuGPn26Ion587/j2mvv5a23gr+h55zThwsvPJ0//vHBqE7hgCXD82QOuLYlqYak9yR9KWmWpLPC7fdK+m2BcndI+r0CwyTNDsufF+7vJekDSS8Q1pQkbQ7ffg9Bu990SddJioXHmCZppqTLwnIXAJ/tTjAAZvaBmc2WVFXSv8PP/CpMPki6RNJjBeIcJ6nX7s+XdLekGZImS2ooqTtwJjAsjOfQA71mZaH9kZks+T6bZSs3sSsnjzffX0Sf41sWKmMG1Q+qBMBB1SqRvWkHObl5HNo8g+lzV7N9Ry65uca06Ss5pUerCM6ibCxdsIT6B9en3sH1Sa+UTsdeHZk9aVbJbwwd2v5QDqp5UBwjLF8mTZ3Pug2bSy6Y5GbO/IYWLRrTrFkjKleuxOmn9+S996YUKlO9ejWk4Of/tm078l8DdO7cltq1ayY05p8q7QCWqJSmJlNN0vTw9XfAucDZZrZRUn1gsqSxwIsEzVZPhGV/DvQDzgE6EIxAqE9wF+nEsEwXoK2ZfVfkM28CbjCzAZA/9C7bzDpLqgJMkvQ20Bb4Yh9xXwlgZu0kHQm8HTat7U91YLKZ3SLpPuA3ZvbX8PzGmdnoEt4fN40yq7Mya0v++g9ZWzjm6MI32/7n1TkM/9upTBpzIdUPqsS1d76LGXzz3Xquv7QzGbWqsH1HDice15xZC7ISfQplJntNNhkN6uSvZ2RmsGT+kr3KLZ67mGFD76N2vVqcedlZNGrZOJFhugRbtWotjRrVz19v2LAeM2fuPejpnXc+4/77R7JuXTb/93+3JzLEMpcMc5cdcHOZpErA3yT1JOj4aQI0NLOvJDWQdDBBc9X6cNqB64BRZpYLrArnuukMbASmFpNginMK0F7S4HC9NtC6hPecADwKYGbzJS0h6LfZn50EzWIQJK++pYgtMmaFv2A9ujRl3sK1/PK6cTRvUotn/nEan88cw6KlGxgxagbP/ON0tm7bxfxFa8nNLf9fzn2xYkJXkSH+TVs3488v3E6ValWYO2UuT9/+FH8aeWuCInRRKPrvAShUU9mtb99u9O3bjWnTZvPww//hmWf+mojw4iIZpvr/MbWoXxAkkZ+FyWcVUDXcNxoYDJxHULOB4m/w2W3LfvYVJILO/A7h0srM3gbmENwYtK/3FCeHwuddtcDrXbbnm5pLKUffSRoq6XNJn2evmFjyG36EH7K20Dizev56o8zqrF6ztVCZQf2O4O2JQc5e+v1Glq/cxCHNMwAYPX4BA4e+wgXXvMGGjTtYvDw7LnEmQkZmbTasXp+/viFrA7Xq1SpUpmr1qlSpVgWAo7seTW5OLpuzK36TUSpr1Kg+P/ywJn991aq1NGhQd5/lO3duy9KlK1m3Lnn/LZT1BJlxifFHvKc2sNrMdoX9HC0K7HuRYGz1YIKEAzAROC/sV8kEegJTS/iMTUDBxtEJwBVhLQpJh0uqTjAwoLuk03cXDGcRbRd+7i92lweaAwuAxUAHSWmSmhE02ZWkaDyFmNkIM+tkZp1qH9yzFIc7cLMWZNGyaW2aNqpJpfQ0Tu99KO99WriJaMXqzXT7WTALRL061WjVLINlK4PO/boZQS5t3KA6p/Rsxbj3FsYlzkRodkRzsr5fw9qVa8nZlcNXH35F2+5tC5XZuG5j/i/bJfOXYHlG9VrVizucqyDatWvN4sUrWLbsB3bu3MWbb06kd+/C/7yXLFmR/72YM2chu3blUKdOreIOlxRiB7BE5cfcJ/M88Iakz4HpwPzdO8Ix1TWB781sZbj5VaAbMINgioIbzeyHsJ9kX2YCOZJmAM8ADxOMOPtSQf03i2AodbakAcBDkh4iGMI8E7iGoG9ouKRZBLWXS8xsh6RJBH1Ls4DZwJelOOcXgX9JuhoYbGaLSvGeMpWba9z58CSeHtafWFoao/+3gIWL1zPkzKMAGDV2Ho8/+yX33tSLcU8PRoJhI6awPnsHAI/9pS91alVlV04edz70CRs370z0KZSZWCzGOVcNYsRNw8nLy6NLv640atmYT9+YBED3M45nxsQZfPrGJNJiaVSqXIlf3npxftPJc3ePZOGMRWzJ3syd59/OqRf357j+x0V5SnE18tGr6NHtKOrXqcnCKY9x1wOjGfnSh1GHVebS02PcdtvlXHrp7eTm5jFo0Mm0bt2CUaP+B8CQIf2ZMOFTXn/9fdLT06latTIPPnhj/vfi+uuHMXXqLNav30jPnpdw1VUXcO65p0R5SiVKT4LRZSquHdP9eK17jfALGnrouWYlF0oBg49/NuoQyo1tS++MOoRy5PCf3Ih138x3Sv335sb2fSNpNPM7/p1zLknFkqDj35OMc84lqWQYXeZJxjnnklRFuU/GOedcOeQ1Geecc3FTyZOMc865ePHmMuecc3Hjo8ucc87FjffJOOecixtPMs455+KmUhJMK+NJxjnnklSUDyMrLU8yzjmXpLy5zDnnXNx4knHOORc3sSS4TyYZmvScc84Vo6yfjBk+9HGBpIWSbipmfy9J2ZKmh8ttJR3TazLOOZek0suwmiApBjwO9AWWA9MkjTWzuUWKfmxmA0odY9mF6JxzLpHK+I7/LsBCM/sWQNKLwFlA0SRzQLy5zDnnklSarNRLKTQBlhVYXx5uK6qbpBmS/iepTUkH9ZqMc84lqQOpJUgaCgwtsGmEmY0oWKSYtxXNTl8CLcxss6TTgNeA1vv7XE8yzjmXpA5kCHOYUEbsp8hyoFmB9abAiiLH2Fjg9XhJT0iqb2Zr9hlj6UN0zjlXnsRU+qUUpgGtJbWSVBk4HxhbsICkRpIUvu5CkEPW7u+gXpNxzrkklV6Gc5eZWY6k3wETgBjwtJnNkXR5uH84MBi4QlIOsA0438z2G4QnGeecS1Jlfce/mY0HxhfZNrzA68eAxw7kmJ5kytiUCY2jDqHc+CY7L+oQyoVtS++MOoRyo1rz26MOodzYtnTUTz5GMvR3eJJxzrkkJZ+7zDnnXLwkQY7xJOOcc8mqjO/4jwtPMs45l6SUBLMwe5JxzrkklQQVGU8yzjmXrLzj3znnXNwkQY7xJOOcc8nKH7/snHMubjzJOOeci5skyDGeZJxzLll5knHOORc33lzmnHMubpIgx3iScc65ZOV3/DvnnIsbby5zzjkXN/48Geecc3Hj08o455yLmyTIMZ5knHMuWXlNxjnnXNz4Q8ucc87FTRLkmAMfnCDpbEkm6ch4BHSAsRwuabykhZLmSfqvpIZl/BkDJR1dlscsK599Mp/zzriXwaf/nWefen+f5ebOXsrxHf7A+2/PSGB08TVzyjxuvODv3HD+3bzxn/f2We7beUu5+MTfM/WDPef+1ksfcfMv7+Xmi+7jiTueY+eOXYkIOW4mTvyCU0+9nL59hzJixMt77X/33cmcccZVnHXW1ZxzznV8/vmc/H033/ww3bpdyIABVyYy5MgMH3YZS74czufv3Bd1KGVCslIvUfkxI+CGAJ8A55dxLKUmKV1SVeBN4J9mdpiZHQX8E8gs448bCJS7JJObm8f9f3uVB/55KaNe+wPv/O8rvlv0Q7HlnnjwTbp2PyKCKOMjLzePZx94hRv+MZR7nvsjk9/9ku+/2/vc83LzeGn4ONp12XPu67I28PaYj7nzyev4+7M3kpeXx5T3vkpk+GUqNzeXv/xlOE8+eQdvvvk448ZNZOHCpYXKdOt2DGPHPsLrrz/C3/52Nbfe+mj+vnPO6cOTT96R4Kij89zLH3HWRfdEHUaZ0QEspTqe1E/SgvCH+037KddZUq6kwSUd84CSjKQawPHArwmTjKRekj6UNFrSfEnPS0F3lKR7JM2VNFPSPyTFJH2rQIakPEk9w7IfSzpMUnVJT0uaJukrSWeF+y+R9LKkN4C3gQuAz8zsjd3xmdkHZjZbUlVJ/5Y0KzzGSQWO8ViB8xknqVf4erOkuyXNkDRZUkNJ3YEzgWGSpks69ECuVzzNnb2Ups3r0aRpPSpVSufkfh2Y+MGcvcq9/MIn9Orbnjp1a0QQZXwsmreUBk3q0+DgeqRXSue4Ph358pPZe5V7e8zHdD6xPbUyahbanpebx84du8jNyWXH9l1k1K+dqNDL3MyZ39CiRWOaNWtE5cqVOP30nrz33pRCZapXr0b4T5Jt23bkvwbo3LkttWsXvj4V2aSp81m3YXPUYZQZqfRLycdSDHgc6E/ww3pIca04Ybl7gQmlifFAazIDgbfM7GtgnaRjw+0dgWvDwA4BjpdUFzgbaGNm7YG/mlku8HVY7gTgC6CHpCpAUzNbCNwCvG9mnYGTCP7AVw8/pxtwsZn1BtqG7y/OlQBm1o6g5jUyrPnsT3VgspkdA0wEfmNmnwJjgT+YWQczW1Sqq5QAWauyadAwI3+9QcMMslZnFyqzelU2H70/m7PP7Zbg6OJrfVY29Rpk5K/Xzcxg/ZrC574uawNfTJxF77O6F9peNzOD/uf34rrBd3H1wDs4qEbVQjWdZLNq1VoaNaqfv96wYT1WrVq7V7l33vmMfv0u57LL7uRvf7smkSG6OCrjmkwXYKGZfWtmO4EXgbOKKXcVMAZYXZqDHmiSGRJ+MOF/h4Svp5rZcjPLA6YDLYGNwHbgSUnnAFvDsh8DPcPl7wTJpjMwLdx/CnCTpOnAh0BVoHm47x0zW1eKOE8AngMws/nAEuDwEt6zExgXvv4iPIdyq7gWVhX5ufLQfa9z5bWnE4slw33BB6LYsy+09vwjr3PeFQNIK3LuWzZt5ctPZnP/S7fy8Gt3sGPbTiZN+DyOscaX2d7Xouj3AKBv32689dZwHn/8Fh5++D+JCM0lQEylX0qhCbCswPrycFs+SU0IKg/DSxtjqUeXSaoH9AbaKuhFihH8ax8P7ChQNBdIN7McSV2APgRNa78L3/8xcDlwMHAb8AegF0HtAYK/FoPMbEGRz+8KbCmwaQ5w4r7C3cf2HAon1oK1m122519sLgd2bYYCQwEeeOy3XHxpv9K+9Udr0LA2q1dtyF9fvWoD9TNrFSozf84y/vzH4A9K9votfPbxPGLpMU7s3Tbu8cVTncwM1q7ekL++LmsDdeoXPvfvFizjiTueA2BT9hZmTJ5HLJZGbm4umY3rUqtO0HzY6cR2fDN7Mcef2ilh8ZelRo3q88MPa/LXV61aS4MGdfdZvnPntixdupJ167KpWzd5mwndbqUfX1bw71RohJmNKOFgRX/FPAT80cxyi/sxU5wDGcI8GHjWzC7Lj0j6iKDWsJew/+YgMxsvaTKwMNw1BXgW+NbMtoc1lsuAAeH+CcBVkq4yM5PU0cyK65l9AbhZ0ulm9mb4mf2A7wkS1i+A9yUdTlATWgDUAn4rKY0gQ3cpxXlvAvbbaB3+jxoBsG7HGwkZxnFUm2YsW7KGFcvXktmwNu++NZ077/lFoTKvvHVL/uu7bn2R43selfQJBuCQI5uxankWWSvWUiezNpPf+4orbv9loTIP/PfW/Ncj7h5Fh+5H87Oe7Vg0ZwmL5ixhx/adVK5SiTlffEOrI5ol+hTKTLt2rVm8eAXLlv1Aw4b1ePPNidx//w2FyixZsoLmzRsjiTlzFrJrVw516tTaxxFdMtEBJJmCf6f2YTlQ8B9DU2BFkTKdgBfDBFMfOE1Sjpm9tq+DHkiSGQIUHZYxBrgCKK6voibwetgXIuA6ADPbIWkZMDks93F47Fnh+l0E2XJmOIBgMXsSUD4z2yZpAPCQpIeAXcBM4BrgCWC4pFkEtZdLws+dBHwXftZs4MtSnPeLwL8kXQ0MLi/9MunpMX7/p7O59op/kZdrDBjYmUMOa8Qr//0UgHN+3r2EIySvWHqMi647h/t+PwLLy6Pn6V1o2qoR778WnHvvgfs+90PbtKBzr2O47dcPkBZLo0XrJpx0ZvL2WaWnx7jttsu59NLbyc3NY9Cgk2ndugWjRv0PgCFD+jNhwqe8/vr7pKenU7VqZR588Mb8JrXrrx/G1KmzWL9+Iz17XsJVV13AueeeEuUpxdXIR6+iR7ejqF+nJgunPMZdD4xm5EsfRh3Wjxb8Xi4z04DWkloR/Fg/n2CAVT4za7Xns/UMMG5/CQZAxbXpuh8vUTWZZPBNdkXrC/pxujZoHXUI5Ua15rdHHUK5sW3pqJ98L+WGnf8r9d+bjMr9S/w8SacR/MiPAU+b2d2SLgcws+FFyj5DkGRG7++Yfse/c84lKZXxZP9mNp6gn73gtmI7+c3sktIc05OMc84lqTJuLosLTzLOOZe0yv/sZZ5knHMuSR3I6LKoeJJxzrkk5UnGOedcHHmfjHPOuTjxjn/nnHNx481lzjnn4shrMs455+LEazLOOefiprQzIUfJk4xzziUtTzLOOefiRMSiDqFEnmSccy5JeXOZc865OPIk45xzLk7Keqr/ePAk45xzSctrMs455+IkzaeVcc45Fz+eZJxzzsWJ3/HvnHMujjzJOOecixO/T8Y551wclf8+GZlZ1DG4MiZpqJmNiDqO8sCvxR5+Lfbwa5E45T8Nuh9jaNQBlCN+Lfbwa7GHX4sE8STjnHMubjzJOOecixtPMhWTtzXv4ddiD78We/i1SBDv+HfOORc3XpNxzjkXN55knHPOxY0nGeecc3HjSaYCkVRN0hFRxxElSVVKsy1VSGpVmm0VnV+H6HiSqSAknQFMB94K1ztIGhtpUNH4rJTbUsWYYraNTngU0fPrEBGfu6ziuAPoAnwIYGbTJbWMMJ6EktQIaAJUk9SRPdPT1gIOiiywiEg6EmgD1JZ0ToFdtYCq0USVeH4doudJpuLIMbPsZJiVNU5OBS4BmgIPFNi+CfhTFAFF7AhgAJABnFFg+ybgN1EEFBG/DhHz+2QqCElPAe8BNwGDgKuBSmZ2eaSBJZikQWZWXNNISpLUzcxSubkQ8OsQJU8yFYSkg4BbgFPCTROAv5rZ9uiiSrywk38Q0JICNXUz+0tUMUVJUibBL/aWFL4e/y+qmKLg1yE63lxWAUiKAWPN7GSCRJPKXgeygS+AHRHHUh68DnwMvAvkRhxLlPw6RMSTTAVgZrmStkqqbWbZUccTsaZm1i/qIMqRg8zsj1EHUQ74dYiIJ5mKYzswS9I7wJbdG83s6uhCisSnktqZ2ayoAyknxkk6zczGRx1IxPw6RMT7ZCoISRcXt93MRiY6lihJmgscBnxH0FwmwMysfaSBRUTSJqA6wbXYxZ7rUSvSwBLMr0N0PMlUIJIqA4eHqwvMbFeU8URBUovitpvZkkTH4pzz5rIKQ1IvYCSwmOBXWjNJF5vZxAjDioL/aipAUs/itqfa98KvQ3S8JlNBSPoCuMDMFoTrhwOjzOxn0UaWWJJmESQaEdzR3YqgVtcm0sAiIumNAqtVCWaF+MLMekcUUiT8OkTHazIVR6XdCQbAzL6WVCnKgKJgZu0Krks6FrgsonAiZ2YF73JHUjPgvojCiYxfh+h4kqk4Pg/v+n8uXP8Fwb0iKc3MvpTUOeo4ypHlQNuogygH/DokiCeZiuMK4EqC6WQETASeiDSiCEi6vsBqGnAskBVROJGT9Ch7+qnSgA7AjMgCiohfh+h4n0wFIak6sN3McsP1GFDFzLZGG1liSbq9wGoOwUCIMak2vc5uRYa25wCLzWxSVPFExa9DdDzJVBCSJgMnm9nmcL0G8LaZdY82smhIqklwH8TmqGOJmg9tD/h1iIY3l1UcVQv+QTWzzeGkmSlFUluCfqm64foa4GIzmx1pYBHxoe0Bvw7R8SRTcWyRdKyZfQkgqROwLeKYojACuN7MPoD8Py4jgJSs0QH3A6cUHdoOpNTQdvw6RMaTTMVxLfCypBUEHZwHA+dFGlE0qu9OMABm9mHYX5WqfGh7wK9DRDzJJLlweO4yM5sWPmr2MuAc4C2C+btSzbeS/syeodwXkprXYbeiQ9svJDWHtvt1iIh3/Cc5SV8SdPivC6fOeBG4imCI5lFmNjjK+BJNUh3gTuCEcNNE4E4zWx9dVNEJH+J2JcH1EPAR8E8zS6ln7fh1iI4nmSQnaYaZHRO+fhzIMrM7wvXpZtYhwvASRlJVoKaZZRXZ3hDITrUhzOGTIDPNbG6R7W2BVUWvU0Xl1yF6aVEH4H6ymKTdzZ59gPcL7Eul5tBHgB7FbD8ZeDDBsZQHjwKZxWxvAjyc4Fii5NchYl6TSXKSbgFOA9YAzYFjzcwkHQaMNLPjIw0wQSTNNbOj97FvTqpNkLm/c5Y028xSYkoVvw7RS6VfuhWSmd0t6T2gMcHNlwWnzrgqusgSTvvZl4o19v2NnEqlUVV+HSKWiv/4Khwzm2xmr5pZwccuf737npkUsVpSl6Ibw9F3qdju/o2k04pulNQf+DaCeKLi1yFi3lzmKoQwwfwXeIY9Q1M7ARcB55vZlIhCi0R4s+E44FMKX49uwAAz+zqq2BLJr0P0PMm4CkNSA4Jhqrvb2ecAj5nZ6uiiik44bPcCCl+PF1JwpJ1fhwh5knEViqTewORUm316fyS1AFqb2buSqgHpZrYp6rgSJZyRfIKZnRx1LKnI+2RcRXMJMF3SZ5Luk3RGeINmSpL0G2A08H/hpqbAa5EFFIHw8RdbJdWOOpZU5KPLXIViZhcBSDoYGAw8TjCPW6p+168keJ79FAAz+yZsVkw124FZkt4BCg6QuTq6kFJDqv7DcxWUpAsJbspsR3Dv0GPAx5EGFa0dZrZTCkZ4hzfupmIb+Zvh4hLM+2RchRI+P2YRMBz4wMwWRxtRtCTdB2wgGGV3FfBbYK6Z3RJlXFEI+6OaF5yN2cWfJxlX4UhqA/QkmAyxNcFTEH8ZbVTRkJQG/Bo4heCG1Qlm9q9oo0o8SWcA/wAqm1krSR2Av5jZmdFGVvF5c5mrUCTVIphepwXQEqgN5EUZU8SuMrOHgfzEIumacFsquYOgb+pDADObLqlVlAGlCh9d5iqaT4AzgJnAeWZ2hJldHHFMUSru3C9JdBDlQI6ZZRfZ5s04CeA1GVehmFl7AEnVC06zk2okDSG4AbGVpLEFdtUE1kYTVaRmS7qAYNby1sDVBLMAuDjzPhlXoUjqBjwF1DCz5pKOAS4zs99GHFpChTdgtgL+DtxUYNcmYKaZ5UQSWEQkHQTcwp6+qbeAv/pd//HnScZVKJKmENwfM9bMOobbfEr3FCfpEDPzCTEj4M1lrsIxs2W77wsJ5UYVS1QkfWJmJ0jaROG+BwFmZrUiCi0qz0hqAkwjeCT3x2Y2K+KYUoInGVfRLJPUHTBJlQna3udFHFPCmdkJ4X9rRh1LeWBmPcPvQ2egF/CmpBpmVjfayCo+TzKuormc4LG6TYDlwNsEU6uknPAemZneVAiSTiCYCaIHkEEw/X8qzwSRMN4n41wFJul54GYzWxp1LFGSlAt8TjAQYryZ7Yw4pJThScZVCJJuNLP7JD1KMfc/pOpEiJLeJ2gimkrhiSFT6k53SRnA8QQzQXQmuEH3MzP7c5RxpQJvLnMVxWWSJhH8WnV73Bl1AOWBmW2Q9C3QjOBxB92BStFGlRq8JuMqBEnXAucBjYGXgFFmNj3KmMoLSQ0Jfr0DTE3FJ4VKWgQsIOiH+QSY4k1mieFJxlUo4U2I54dLVWAUQcL5JtLAIiLp58Awgjm7RNDx/QczGx1lXIkmKc3MUnkOu8h4knEVlqSOwNNAezOLRR1PFCTNAPrurr1IygTeNbNjoo0sscJHHvwV2EZwt/8xwLVm9p9IA0sBPkGmq1AkVQofufw88D/ga2BQxGFFKa1I89haUvPf/SlmthEYQDC0/XDgD9GGlBq8499VCJL6AkOA0wlGUr0IDE3lSTJDb0maQNBsCEG/1fgI44nK7k7+0wiaT9cVmRXCxYk3l7kKQdIHwAvAGDNbF3U85Ymkcwge4CZgopm9GnFICSfpHmAgQXNZF8IbMs2sa4RhpQRPMs5VYJKuA142s+VRxxI1SXWAjWaWG87KXMvMfog6rorOm8ucq9hqARMkrSNoQhxtZqsijikqRwEtJRX8u/dsVMGkCq/JOJcCJLUn6I8ZBCw3s5MjDimhJD0HHApMZ8+s3JaqM0EkktdknEsNq4EfCEaXNYg4lih0Ao42/1WdcKk4lNG5lCHpCkkfAu8B9YHf7H5EdYqZDTSKOohU5DUZ5yq2FgQ3HU6POpCI1QfmSpoK7Ai3mZmdFWFMKcH7ZJxLAZIaEEyzA0CqTf0v6cSCqwRDuoeYWZuIQkoZ3lzmXAUWzn7wDfAd8BGwmGAmhJRiZh8B2QQ36z4D9AGGRxlTqvDmMucqtr8CxxHMV9ZR0kkEMyOkBEmHE0yWOoRg0MNLBC04J0UaWArxmoxzFdsuM1sLpIUzEX8AdIg4pkSaT1BrOcPMTjCzR9kzhNklgNdknKvYNkiqAUwEnpe0GsiJOKZEGkRQk/lA0lsEN6T6pGUJ5B3/zlVAkpqb2VJJ1Qnm60oDfgHUBp4PazcpI7wOAwmazXoDI4FXzeztKONKBZ5knKuAJH1pZseGr8eYWSo/7qAQSXWBc4HzzKx31PFUdJ5knKuAJH1lZh2LvnYu0bzj37mKyfbx2rmE8pqMcxWQpFxgC0EndzVg6+5dBHe614oqNpdaPMk455yLG28uc845FzeeZJxzzsWNJxnnnHNx40nGOedc3HiScc45Fzf/H8eAzQ/jgmWyAAAAAElFTkSuQmCC\n",616 "text/plain": [617 "<Figure size 432x288 with 2 Axes>"618 ]619 },620 "metadata": {621 "needs_background": "light"622 },623 "output_type": "display_data"624 }625 ],626 "source": [627 "#sns.clustermap(data[['Score','ViewCount','FavoriteCount','AnswerCount']].corr(),)\n",628 "sns.heatmap(data[['Score','ViewCount','FavoriteCount','AnswerCount']].corr(), cmap=\"YlGnBu\", annot=True)"629 ]630 },631 {632 "cell_type": "markdown",633 "id": "55ba9e4a-a72a-407a-87f9-e0ff7355072f",634 "metadata": {},635 "source": [636 "### <u> **I.3. Analyse des longueurs des variables texte: Title, Body et Tags**"637 ]638 },639 {640 "cell_type": "code",641 "execution_count": 235,642 "id": "d069f8da-1715-415f-be43-cf3ccf1b057b",643 "metadata": {},644 "outputs": [645 {646 "data": {647 "image/png": "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\n",648 "text/plain": [649 "<Figure size 1080x720 with 1 Axes>"650 ]651 },652 "metadata": {},653 "output_type": "display_data"654 }655 ],656 "source": [657 "# Define a color palette that varies from light blue to dark blue\n",658 "palette = sns.color_palette(\"Accent_r\", 20)\n",659 "\n",660 "# Split the long text into individual documents\n",661 "documents = data.Title.str.split()\n",662 "\n",663 "# Count the number of words in each document and calculate the median\n",664 "document_lengths = [len(doc) for doc in documents]\n",665 "median_length = np.median(document_lengths)\n",666 "\n",667 "# Plot the histogram\n",668 "fig = plt.figure(figsize=(15, 10))\n",669 "ax = sns.histplot(document_lengths, kde=False, palette=palette)\n",670 "ax.axvline(median_length, color=\"b\", linestyle='--',\n",671 " label=\"Nombre moyen de mots par Titre : \"+str(median_length))\n",672 "ax.set_xlabel(\"Nombre de mots par document\")\n",673 "ax.set_ylabel(\"Nombre de documents\")\n",674 "plt.title(\"Longueur des documents du jeu de données\",\n",675 " fontsize=18)\n",676 "plt.legend()\n",677 "plt.show()"678 ]679 },680 {681 "cell_type": "code",682 "execution_count": 238,683 "id": "33b9f241-e155-4f22-a682-984cbf92094e",684 "metadata": {},685 "outputs": [686 {687 "data": {688 "image/png": "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\n",689 "text/plain": [690 "<Figure size 1080x720 with 1 Axes>"691 ]692 },693 "metadata": {},694 "output_type": "display_data"695 }696 ],697 "source": [698 "# Define a color palette that varies from light blue to dark blue\n",699 "palette = sns.color_palette(\"Accent_r\", 20)\n",700 "\n",701 "# Split the long text into individual documents\n",702 "documents = data.Body.str.split()\n",703 "\n",704 "# Count the number of words in each document and calculate the median\n",705 "document_lengths = [len(doc) for doc in documents]\n",706 "median_length = np.median(document_lengths)\n",707 "\n",708 "# Plot the histogram\n",709 "fig = plt.figure(figsize=(15, 10))\n",710 "ax = sns.histplot(document_lengths, kde=False, palette=palette)\n",711 "ax.axvline(median_length, color=\"b\", linestyle='--',\n",712 " label=\"Nombre moyen de mots par document : \"+str(median_length))\n",713 "ax.set_xlabel(\"Nombre de mots par document\")\n",714 "ax.set_ylabel(\"Nombre de documents\")\n",715 "plt.title(\"Longueur des documents du jeu de données\",\n",716 " fontsize=18)\n",717 "plt.legend()\n",718 "plt.show()"719 ]720 },721 {722 "cell_type": "code",723 "execution_count": 232,724 "id": "e19f88bd-d3ef-449d-b322-0ca98c2c6ae2",725 "metadata": {},726 "outputs": [727 {728 "data": {729 "application/vnd.plotly.v1+json": {730 "config": {731 "plotlyServerURL": "https://plot.ly"732 },733 "data": [734 {735 "alignmentgroup": "True",736 "bingroup": "x",737 "hovertemplate": "Nombre moyen de mots par document=%{x}<br>count=%{y}<extra></extra>",738 "legendgroup": "",739 "marker": {740 "color": "blue",741 "opacity": 0.8,742 "pattern": {743 "shape": ""744 }745 },746 "name": "",747 "nbinsx": 100,748 "offsetgroup": "",749 "orientation": "v",750 "showlegend": false,751 "type": "histogram",752 "x": [753 78,754 142,755 64,756 86,757 305,758 189,759 46,760 43,761 40,762 43,763 91,764 201,765 55,766 66,767 48,768 41,769 106,770 32,771 22,772 90,773 42,774 76,775 78,776 34,777 219,778 23,779 123,780 61,781 46,782 80,783 39,784 78,785 178,786 57,787 67,788 106,789 73,790 78,791 118,792 62,793 161,794 103,795 182,796 266,797 179,798 114,799 57,800 178,801 68,802 145,803 52,804 46,805 228,806 41,807 73,808 422,809 152,810 166,811 67,812 165,813 124,814 24,815 88,816 160,817 14,818 139,819 113,820 314,821 77,822 408,823 40,824 61,825 175,826 58,827 179,828 109,829 135,830 377,831 84,832 173,833 27,834 124,835 94,836 65,837 16,838 70,839 308,840 48,841 137,842 180,843 78,844 165,845 165,846 24,847 53,848 130,849 83,850 133,851 875,852 102,853 87,854 120,855 75,856 135,857 35,858 37,859 72,860 90,861 157,862 66,863 143,864 141,865 23,866 68,867 92,868 121,869 112,870 65,871 73,872 392,873 33,874 19,875 131,876 26,877 161,878 116,879 63,880 208,881 17,882 106,883 127,884 132,885 156,886 55,887 98,888 159,889 153,890 207,891 70,892 69,893 681,894 126,895 55,896 101,897 488,898 127,899 43,900 340,901 41,902 53,903 204,904 87,905 46,906 69,907 115,908 75,909 240,910 68,911 144,912 36,913 110,914 247,915 145,916 75,917 175,918 50,919 61,920 101,921 17,922 32,923 352,924 63,925 81,926 130,927 104,928 155,929 96,930 113,931 211,932 156,933 78,934 87,935 29,936 82,937 65,938 74,939 27,940 176,941 181,942 175,943 65,944 94,945 72,946 41,947 77,948 46,949 84,950 158,951 280,952 100,953 57,954 122,955 169,956 209,957 95,958 67,959 53,960 66,961 105,962 65,963 59,964 186,965 160,966 61,967 116,968 84,969 51,970 50,971 59,972 106,973 116,974 80,975 94,976 101,977 74,978 169,979 279,980 430,981 49,982 70,983 36,984 56,985 30,986 283,987 79,988 168,989 88,990 160,991 65,992 240,993 177,994 10,995 263,996 61,997 98,998 40,999 89,1000 47,1001 30,1002 105,1003 92,1004 259,1005 113,1006 36,1007 127,1008 33,1009 67,1010 104,1011 57,1012 258,1013 112,1014 78,1015 112,1016 89,1017 272,1018 76,1019 100,1020 100,1021 86,1022 27,1023 71,1024 73,1025 124,1026 55,1027 114,1028 104,1029 160,1030 172,1031 85,1032 225,1033 72,1034 89,1035 15,1036 84,1037 187,1038 13,1039 97,1040 43,1041 237,1042 102,1043 52,1044 428,1045 40,1046 88,1047 194,1048 37,1049 196,1050 65,1051 72,1052 145,1053 63,1054 56,1055 404,1056 1603,1057 31,1058 52,1059 61,1060 43,1061 161,1062 119,1063 409,1064 30,1065 110,1066 203,1067 190,1068 109,1069 104,1070 22,1071 36,1072 68,1073 218,1074 30,1075 257,1076 274,1077 20,1078 57,1079 118,1080 47,1081 58,1082 204,1083 111,1084 63,1085 83,1086 102,1087 129,1088 174,1089 91,1090 126,1091 260,1092 137,1093 82,1094 105,1095 69,1096 45,1097 158,1098 70,1099 122,1100 153,1101 139,1102 34,1103 60,1104 65,1105 24,1106 488,1107 157,1108 130,1109 110,1110 17,1111 45,1112 25,1113 46,1114 151,1115 20,1116 92,1117 79,1118 139,1119 197,1120 87,1121 305,1122 47,1123 870,1124 56,1125 91,1126 164,1127 66,1128 81,1129 309,1130 73,1131 337,1132 34,1133 545,1134 28,1135 347,1136 254,1137 198,1138 99,1139 245,1140 58,1141 54,1142 178,1143 274,1144 96,1145 104,1146 15,1147 35,1148 190,1149 101,1150 52,1151 36,1152 118,1153 100,1154 45,1155 139,1156 59,1157 430,1158 185,1159 195,1160 205,1161 93,1162 227,1163 184,1164 100,1165 13,1166 202,1167 160,1168 102,1169 118,1170 323,1171 277,1172 58,1173 61,1174 228,1175 345,1176 123,1177 109,1178 461,1179 37,1180 424,1181 157,1182 127,1183 432,1184 1044,1185 49,1186 96,1187 55,1188 317,1189 99,1190 197,1191 51,1192 109,1193 21,1194 23,1195 208,1196 144,1197 249,1198 87,1199 47,1200 57,