09_Machine_learning_non_supervise.ipynb

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    "# L’apprentissage non supervisé\n",
    "\n",
    "## Implémentation d’une méthode de clustering avec Python\n",
    "\n",
    "Dans le cas d’un clustering les données consiste en un bloc de variables x\n",
    "desquelles on va extraire des groupes d’observations.\n",
    "\n",
    "Nous allons appliquer les k-means directement sur les données. Les k-means\n",
    "(k-moyennes) sont donc un algorithme d’apprentissage non supervisé permettant\n",
    "de construire des classes d’observations à partir d’un jeu de données de grande\n",
    "dimension."
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    "## Préparation des données\n",
    "\n",
    "Les données que nous utilisons sont des données sur les communes d’Île-de-\n",
    "France et leur caractéristiques socio-démographiques. \n",
    "\n",
    "Notre objectif est ici de comprendre s’il existe des classes de communes ayant des caractéristiques proches.\n",
    "On obtiendra ainsi une typologie des communes d’Île-de-France et on pourra représenter\n",
    "ces groupes sur une carte.\n",
    "\n",
    "Nous allons préparer ces données qui sont disponibles sur le site du livre. Une\n",
    "description est disponible au début du chapitre 4.m"
   ]
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   "source": [
    "import pandas as pd\n",
    "import numpy as np\n",
    "# on récupère le fichier csv\n",
    "data = pd.read_csv(\"./Data/base-dpt.csv\",sep=\";\")\n",
    "# on enlève des variables avec trop de données manquantes\n",
    "data.drop([\"PIMP14\",\"TP6014\"],axis=1,inplace=True)\n",
    "# on enlève les observations avec des données manquantes\n",
    "data.dropna(inplace=True)\n",
    "# on extrait dans un DataFrame la position géographique des comunes\n",
    "position = pd.DataFrame(data[\"geo_point_2d\"])\n",
    "# on crée une colonne longitude en prenant la première partie\n",
    "# de la colonne geo_point_2\n",
    "position[\"longitude\"]=pd.to_numeric(position[\"geo_point_2d\"].str.split(',')\\\n",
    "                                    .str.get(0))\n",
    "# on fait la même chose pour la latitude\n",
    "position[\"latitude\"]=pd.to_numeric(position[\"geo_point_2d\"].str.split(',')\\\n",
    "                                   .str.get(1))\n",
    "# finalement, on sélectionne uniquement les données numériques\n",
    "# pour faire notre K-means et on enlève trois variables inutiles\n",
    "x = data.select_dtypes(np.number).drop([\"CODGEO\",\"REG\",\"DEP\"],axis=1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
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       "      <td>20258.0</td>\n",
       "      <td>2.42</td>\n",
       "      <td>1564.0</td>\n",
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       "      <td>8909.817815</td>\n",
       "      <td>257.0</td>\n",
       "      <td>156.0</td>\n",
       "      <td>9337.392497</td>\n",
       "      <td>8909.817815</td>\n",
       "      <td>...</td>\n",
       "      <td>10146.844242</td>\n",
       "      <td>1475.0</td>\n",
       "      <td>3.0</td>\n",
       "      <td>38.0</td>\n",
       "      <td>142.0</td>\n",
       "      <td>1078.0</td>\n",
       "      <td>225.0</td>\n",
       "      <td>214.0</td>\n",
       "      <td>335.0</td>\n",
       "      <td>67.0</td>\n",
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       "      <th>1</th>\n",
       "      <td>8155.0</td>\n",
       "      <td>7920.0</td>\n",
       "      <td>9.21</td>\n",
       "      <td>639.0</td>\n",
       "      <td>243.0</td>\n",
       "      <td>2891.000000</td>\n",
       "      <td>152.0</td>\n",
       "      <td>46.0</td>\n",
       "      <td>3086.000000</td>\n",
       "      <td>2891.000000</td>\n",
       "      <td>...</td>\n",
       "      <td>4044.000000</td>\n",
       "      <td>878.0</td>\n",
       "      <td>8.0</td>\n",
       "      <td>47.0</td>\n",
       "      <td>135.0</td>\n",
       "      <td>623.0</td>\n",
       "      <td>241.0</td>\n",
       "      <td>65.0</td>\n",
       "      <td>228.0</td>\n",
       "      <td>72.0</td>\n",
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       "      <th>2</th>\n",
       "      <td>242.0</td>\n",
       "      <td>229.0</td>\n",
       "      <td>3.89</td>\n",
       "      <td>9.0</td>\n",
       "      <td>4.0</td>\n",
       "      <td>93.154812</td>\n",
       "      <td>1.0</td>\n",
       "      <td>1.0</td>\n",
       "      <td>106.271929</td>\n",
       "      <td>93.154812</td>\n",
       "      <td>...</td>\n",
       "      <td>109.355649</td>\n",
       "      <td>13.0</td>\n",
       "      <td>2.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>2.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>2.0</td>\n",
       "      <td>4.0</td>\n",
       "      <td>4.0</td>\n",
       "      <td>0.0</td>\n",
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       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>446.0</td>\n",
       "      <td>447.0</td>\n",
       "      <td>4.61</td>\n",
       "      <td>18.0</td>\n",
       "      <td>21.0</td>\n",
       "      <td>186.507593</td>\n",
       "      <td>0.0</td>\n",
       "      <td>6.0</td>\n",
       "      <td>267.570530</td>\n",
       "      <td>186.507593</td>\n",
       "      <td>...</td>\n",
       "      <td>204.811694</td>\n",
       "      <td>74.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>6.0</td>\n",
       "      <td>6.0</td>\n",
       "      <td>48.0</td>\n",
       "      <td>17.0</td>\n",
       "      <td>14.0</td>\n",
       "      <td>13.0</td>\n",
       "      <td>4.0</td>\n",
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       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>838.0</td>\n",
       "      <td>828.0</td>\n",
       "      <td>9.82</td>\n",
       "      <td>45.0</td>\n",
       "      <td>29.0</td>\n",
       "      <td>340.831981</td>\n",
       "      <td>5.0</td>\n",
       "      <td>9.0</td>\n",
       "      <td>364.250976</td>\n",
       "      <td>340.831981</td>\n",
       "      <td>...</td>\n",
       "      <td>400.064890</td>\n",
       "      <td>75.0</td>\n",
       "      <td>6.0</td>\n",
       "      <td>3.0</td>\n",
       "      <td>8.0</td>\n",
       "      <td>53.0</td>\n",
       "      <td>12.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>14.0</td>\n",
       "      <td>2.0</td>\n",
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       "    <tr>\n",
       "      <th>5</th>\n",
       "      <td>636.0</td>\n",
       "      <td>638.0</td>\n",
       "      <td>7.60</td>\n",
       "      <td>39.0</td>\n",
       "      <td>18.0</td>\n",
       "      <td>235.109005</td>\n",
       "      <td>6.0</td>\n",
       "      <td>4.0</td>\n",
       "      <td>258.714268</td>\n",
       "      <td>235.109005</td>\n",
       "      <td>...</td>\n",
       "      <td>323.526066</td>\n",
       "      <td>64.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>4.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>40.0</td>\n",
       "      <td>10.0</td>\n",
       "      <td>8.0</td>\n",
       "      <td>20.0</td>\n",
       "      <td>0.0</td>\n",
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       "    <tr>\n",
       "      <th>7</th>\n",
       "      <td>1008.0</td>\n",
       "      <td>1042.0</td>\n",
       "      <td>1.70</td>\n",
       "      <td>48.0</td>\n",
       "      <td>31.0</td>\n",
       "      <td>414.467066</td>\n",
       "      <td>11.0</td>\n",
       "      <td>3.0</td>\n",
       "      <td>450.237570</td>\n",
       "      <td>414.467066</td>\n",
       "      <td>...</td>\n",
       "      <td>540.215569</td>\n",
       "      <td>86.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>3.0</td>\n",
       "      <td>13.0</td>\n",
       "      <td>65.0</td>\n",
       "      <td>20.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>19.0</td>\n",
       "      <td>2.0</td>\n",
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       "    <tr>\n",
       "      <th>8</th>\n",
       "      <td>503.0</td>\n",
       "      <td>463.0</td>\n",
       "      <td>8.25</td>\n",
       "      <td>32.0</td>\n",
       "      <td>13.0</td>\n",
       "      <td>204.000000</td>\n",
       "      <td>7.0</td>\n",
       "      <td>1.0</td>\n",
       "      <td>260.000000</td>\n",
       "      <td>204.000000</td>\n",
       "      <td>...</td>\n",
       "      <td>257.000000</td>\n",
       "      <td>45.0</td>\n",
       "      <td>6.0</td>\n",
       "      <td>3.0</td>\n",
       "      <td>4.0</td>\n",
       "      <td>27.0</td>\n",
       "      <td>3.0</td>\n",
       "      <td>5.0</td>\n",
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       "    <tr>\n",
       "      <th>10</th>\n",
       "      <td>2620.0</td>\n",
       "      <td>2530.0</td>\n",
       "      <td>14.07</td>\n",
       "      <td>133.0</td>\n",
       "      <td>79.0</td>\n",
       "      <td>1036.386176</td>\n",
       "      <td>35.0</td>\n",
       "      <td>25.0</td>\n",
       "      <td>1173.240323</td>\n",
       "      <td>1036.386176</td>\n",
       "      <td>...</td>\n",
       "      <td>1327.716003</td>\n",
       "      <td>205.0</td>\n",
       "      <td>6.0</td>\n",
       "      <td>14.0</td>\n",
       "      <td>31.0</td>\n",
       "      <td>129.0</td>\n",
       "      <td>23.0</td>\n",
       "      <td>25.0</td>\n",
       "      <td>36.0</td>\n",
       "      <td>7.0</td>\n",
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       "    <tr>\n",
       "      <th>11</th>\n",
       "      <td>14874.0</td>\n",
       "      <td>14439.0</td>\n",
       "      <td>1.43</td>\n",
       "      <td>1197.0</td>\n",
       "      <td>466.0</td>\n",
       "      <td>6534.089505</td>\n",
       "      <td>185.0</td>\n",
       "      <td>86.0</td>\n",
       "      <td>7113.805172</td>\n",
       "      <td>6534.089505</td>\n",
       "      <td>...</td>\n",
       "      <td>8092.617589</td>\n",
       "      <td>1441.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>29.0</td>\n",
       "      <td>92.0</td>\n",
       "      <td>1107.0</td>\n",
       "      <td>176.0</td>\n",
       "      <td>213.0</td>\n",
       "      <td>223.0</td>\n",
       "      <td>69.0</td>\n",
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       "    <tr>\n",
       "      <th>12</th>\n",
       "      <td>14297.0</td>\n",
       "      <td>13321.0</td>\n",
       "      <td>2.84</td>\n",
       "      <td>1109.0</td>\n",
       "      <td>468.0</td>\n",
       "      <td>4941.985565</td>\n",
       "      <td>267.0</td>\n",
       "      <td>91.0</td>\n",
       "      <td>5256.635645</td>\n",
       "      <td>4941.985565</td>\n",
       "      <td>...</td>\n",
       "      <td>6780.188765</td>\n",
       "      <td>1158.0</td>\n",
       "      <td>4.0</td>\n",
       "      <td>44.0</td>\n",
       "      <td>230.0</td>\n",
       "      <td>758.0</td>\n",
       "      <td>224.0</td>\n",
       "      <td>122.0</td>\n",
       "      <td>325.0</td>\n",
       "      <td>40.0</td>\n",
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       "    <tr>\n",
       "      <th>13</th>\n",
       "      <td>975.0</td>\n",
       "      <td>971.0</td>\n",
       "      <td>3.71</td>\n",
       "      <td>79.0</td>\n",
       "      <td>106.0</td>\n",
       "      <td>321.681732</td>\n",
       "      <td>12.0</td>\n",
       "      <td>32.0</td>\n",
       "      <td>344.217012</td>\n",
       "      <td>321.681732</td>\n",
       "      <td>...</td>\n",
       "      <td>474.378756</td>\n",
       "      <td>77.0</td>\n",
       "      <td>4.0</td>\n",
       "      <td>4.0</td>\n",
       "      <td>10.0</td>\n",
       "      <td>45.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>14.0</td>\n",
       "      <td>19.0</td>\n",
       "      <td>5.0</td>\n",
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       "    <tr>\n",
       "      <th>14</th>\n",
       "      <td>3644.0</td>\n",
       "      <td>3676.0</td>\n",
       "      <td>9.91</td>\n",
       "      <td>136.0</td>\n",
       "      <td>144.0</td>\n",
       "      <td>1354.000000</td>\n",
       "      <td>30.0</td>\n",
       "      <td>29.0</td>\n",
       "      <td>1417.175784</td>\n",
       "      <td>1354.000000</td>\n",
       "      <td>...</td>\n",
       "      <td>1646.350730</td>\n",
       "      <td>427.0</td>\n",
       "      <td>3.0</td>\n",
       "      <td>23.0</td>\n",
       "      <td>44.0</td>\n",
       "      <td>325.0</td>\n",
       "      <td>81.0</td>\n",
       "      <td>32.0</td>\n",
       "      <td>92.0</td>\n",
       "      <td>36.0</td>\n",
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       "    <tr>\n",
       "      <th>15</th>\n",
       "      <td>19732.0</td>\n",
       "      <td>18876.0</td>\n",
       "      <td>4.32</td>\n",
       "      <td>1459.0</td>\n",
       "      <td>488.0</td>\n",
       "      <td>7971.178287</td>\n",
       "      <td>266.0</td>\n",
       "      <td>104.0</td>\n",
       "      <td>8169.632390</td>\n",
       "      <td>7971.178287</td>\n",
       "      <td>...</td>\n",
       "      <td>9672.583391</td>\n",
       "      <td>1457.0</td>\n",
       "      <td>2.0</td>\n",
       "      <td>61.0</td>\n",
       "      <td>271.0</td>\n",
       "      <td>961.0</td>\n",
       "      <td>246.0</td>\n",
       "      <td>162.0</td>\n",
       "      <td>364.0</td>\n",
       "      <td>63.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>16</th>\n",
       "      <td>28431.0</td>\n",
       "      <td>28012.0</td>\n",
       "      <td>4.16</td>\n",
       "      <td>2606.0</td>\n",
       "      <td>764.0</td>\n",
       "      <td>10978.043086</td>\n",
       "      <td>557.0</td>\n",
       "      <td>161.0</td>\n",
       "      <td>11792.163301</td>\n",
       "      <td>10978.043086</td>\n",
       "      <td>...</td>\n",
       "      <td>14185.439224</td>\n",
       "      <td>2239.0</td>\n",
       "      <td>6.0</td>\n",
       "      <td>83.0</td>\n",
       "      <td>375.0</td>\n",
       "      <td>1590.0</td>\n",
       "      <td>437.0</td>\n",
       "      <td>185.0</td>\n",
       "      <td>472.0</td>\n",
       "      <td>170.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>17</th>\n",
       "      <td>2250.0</td>\n",
       "      <td>1994.0</td>\n",
       "      <td>2.60</td>\n",
       "      <td>110.0</td>\n",
       "      <td>56.0</td>\n",
       "      <td>816.553817</td>\n",
       "      <td>22.0</td>\n",
       "      <td>16.0</td>\n",
       "      <td>872.149500</td>\n",
       "      <td>816.553817</td>\n",
       "      <td>...</td>\n",
       "      <td>1149.334265</td>\n",
       "      <td>128.0</td>\n",
       "      <td>3.0</td>\n",
       "      <td>10.0</td>\n",
       "      <td>14.0</td>\n",
       "      <td>88.0</td>\n",
       "      <td>14.0</td>\n",
       "      <td>13.0</td>\n",
       "      <td>19.0</td>\n",
       "      <td>2.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>18</th>\n",
       "      <td>8733.0</td>\n",
       "      <td>8777.0</td>\n",
       "      <td>3.02</td>\n",
       "      <td>467.0</td>\n",
       "      <td>294.0</td>\n",
       "      <td>3536.000000</td>\n",
       "      <td>114.0</td>\n",
       "      <td>72.0</td>\n",
       "      <td>3755.713765</td>\n",
       "      <td>3536.000000</td>\n",
       "      <td>...</td>\n",
       "      <td>4230.929318</td>\n",
       "      <td>786.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>41.0</td>\n",
       "      <td>113.0</td>\n",
       "      <td>547.0</td>\n",
       "      <td>123.0</td>\n",
       "      <td>85.0</td>\n",
       "      <td>238.0</td>\n",
       "      <td>56.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>19</th>\n",
       "      <td>145.0</td>\n",
       "      <td>122.0</td>\n",
       "      <td>8.10</td>\n",
       "      <td>11.0</td>\n",
       "      <td>4.0</td>\n",
       "      <td>52.000000</td>\n",
       "      <td>5.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>59.000000</td>\n",
       "      <td>52.000000</td>\n",
       "      <td>...</td>\n",
       "      <td>77.000000</td>\n",
       "      <td>14.0</td>\n",
       "      <td>4.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>2.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>1.0</td>\n",
       "      <td>3.0</td>\n",
       "      <td>0.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>20</th>\n",
       "      <td>5842.0</td>\n",
       "      <td>5454.0</td>\n",
       "      <td>19.36</td>\n",
       "      <td>368.0</td>\n",
       "      <td>172.0</td>\n",
       "      <td>2115.000000</td>\n",
       "      <td>103.0</td>\n",
       "      <td>31.0</td>\n",
       "      <td>2362.000000</td>\n",
       "      <td>2115.000000</td>\n",
       "      <td>...</td>\n",
       "      <td>2720.000000</td>\n",
       "      <td>374.0</td>\n",
       "      <td>2.0</td>\n",
       "      <td>25.0</td>\n",
       "      <td>71.0</td>\n",
       "      <td>223.0</td>\n",
       "      <td>76.0</td>\n",
       "      <td>53.0</td>\n",
       "      <td>71.0</td>\n",
       "      <td>32.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>21</th>\n",
       "      <td>31647.0</td>\n",
       "      <td>31490.0</td>\n",
       "      <td>11.99</td>\n",
       "      <td>3282.0</td>\n",
       "      <td>735.0</td>\n",
       "      <td>10605.075410</td>\n",
       "      <td>615.0</td>\n",
       "      <td>162.0</td>\n",
       "      <td>11442.914066</td>\n",
       "      <td>10605.075410</td>\n",
       "      <td>...</td>\n",
       "      <td>14233.727945</td>\n",
       "      <td>1983.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>93.0</td>\n",
       "      <td>264.0</td>\n",
       "      <td>1365.0</td>\n",
       "      <td>460.0</td>\n",
       "      <td>256.0</td>\n",
       "      <td>489.0</td>\n",
       "      <td>142.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>22</th>\n",
       "      <td>44985.0</td>\n",
       "      <td>43128.0</td>\n",
       "      <td>9.38</td>\n",
       "      <td>4542.0</td>\n",
       "      <td>1251.0</td>\n",
       "      <td>16644.256939</td>\n",
       "      <td>903.0</td>\n",
       "      <td>299.0</td>\n",
       "      <td>17620.057323</td>\n",
       "      <td>16644.256939</td>\n",
       "      <td>...</td>\n",
       "      <td>20006.595358</td>\n",
       "      <td>3097.0</td>\n",
       "      <td>2.0</td>\n",
       "      <td>83.0</td>\n",
       "      <td>334.0</td>\n",
       "      <td>2173.0</td>\n",
       "      <td>672.0</td>\n",
       "      <td>505.0</td>\n",
       "      <td>760.0</td>\n",
       "      <td>181.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>23</th>\n",
       "      <td>1745.0</td>\n",
       "      <td>1736.0</td>\n",
       "      <td>4.33</td>\n",
       "      <td>75.0</td>\n",
       "      <td>43.0</td>\n",
       "      <td>651.533503</td>\n",
       "      <td>5.0</td>\n",
       "      <td>10.0</td>\n",
       "      <td>694.836747</td>\n",
       "      <td>651.533503</td>\n",
       "      <td>...</td>\n",
       "      <td>755.778863</td>\n",
       "      <td>135.0</td>\n",
       "      <td>3.0</td>\n",
       "      <td>6.0</td>\n",
       "      <td>12.0</td>\n",
       "      <td>98.0</td>\n",
       "      <td>17.0</td>\n",
       "      <td>16.0</td>\n",
       "      <td>34.0</td>\n",
       "      <td>3.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>24</th>\n",
       "      <td>15126.0</td>\n",
       "      <td>15354.0</td>\n",
       "      <td>7.36</td>\n",
       "      <td>880.0</td>\n",
       "      <td>353.0</td>\n",
       "      <td>5746.105302</td>\n",
       "      <td>152.0</td>\n",
       "      <td>85.0</td>\n",
       "      <td>6116.506960</td>\n",
       "      <td>5746.105302</td>\n",
       "      <td>...</td>\n",
       "      <td>7582.289628</td>\n",
       "      <td>1380.0</td>\n",
       "      <td>11.0</td>\n",
       "      <td>31.0</td>\n",
       "      <td>165.0</td>\n",
       "      <td>992.0</td>\n",
       "      <td>239.0</td>\n",
       "      <td>181.0</td>\n",
       "      <td>314.0</td>\n",
       "      <td>85.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>25</th>\n",
       "      <td>3199.0</td>\n",
       "      <td>3247.0</td>\n",
       "      <td>2.78</td>\n",
       "      <td>112.0</td>\n",
       "      <td>186.0</td>\n",
       "      <td>1523.000000</td>\n",
       "      <td>22.0</td>\n",
       "      <td>39.0</td>\n",
       "      <td>1654.158788</td>\n",
       "      <td>1523.000000</td>\n",
       "      <td>...</td>\n",
       "      <td>1352.631894</td>\n",
       "      <td>222.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>10.0</td>\n",
       "      <td>172.0</td>\n",
       "      <td>24.0</td>\n",
       "      <td>33.0</td>\n",
       "      <td>20.0</td>\n",
       "      <td>7.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>26</th>\n",
       "      <td>51747.0</td>\n",
       "      <td>51459.0</td>\n",
       "      <td>8.46</td>\n",
       "      <td>4156.0</td>\n",
       "      <td>1610.0</td>\n",
       "      <td>20356.560378</td>\n",
       "      <td>875.0</td>\n",
       "      <td>359.0</td>\n",
       "      <td>21620.617532</td>\n",
       "      <td>20356.560378</td>\n",
       "      <td>...</td>\n",
       "      <td>26574.807601</td>\n",
       "      <td>3733.0</td>\n",
       "      <td>9.0</td>\n",
       "      <td>167.0</td>\n",
       "      <td>568.0</td>\n",
       "      <td>2487.0</td>\n",
       "      <td>661.0</td>\n",
       "      <td>502.0</td>\n",
       "      <td>797.0</td>\n",
       "      <td>225.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>27</th>\n",
       "      <td>915.0</td>\n",
       "      <td>907.0</td>\n",
       "      <td>8.16</td>\n",
       "      <td>32.0</td>\n",
       "      <td>27.0</td>\n",
       "      <td>329.221992</td>\n",
       "      <td>8.0</td>\n",
       "      <td>4.0</td>\n",
       "      <td>379.656700</td>\n",
       "      <td>329.221992</td>\n",
       "      <td>...</td>\n",
       "      <td>447.940040</td>\n",
       "      <td>81.0</td>\n",
       "      <td>1.0</td>\n",
       "      <td>2.0</td>\n",
       "      <td>6.0</td>\n",
       "      <td>57.0</td>\n",
       "      <td>14.0</td>\n",
       "      <td>15.0</td>\n",
       "      <td>10.0</td>\n",
       "      <td>4.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>28</th>\n",
       "      <td>2183.0</td>\n",
       "      <td>2126.0</td>\n",
       "      <td>5.77</td>\n",
       "      <td>115.0</td>\n",
       "      <td>156.0</td>\n",
       "      <td>844.013989</td>\n",
       "      <td>20.0</td>\n",
       "      <td>29.0</td>\n",
       "      <td>934.678546</td>\n",
       "      <td>844.013989</td>\n",
       "      <td>...</td>\n",
       "      <td>1018.047863</td>\n",
       "      <td>233.0</td>\n",
       "      <td>3.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>20.0</td>\n",
       "      <td>160.0</td>\n",
       "      <td>44.0</td>\n",
       "      <td>43.0</td>\n",
       "      <td>61.0</td>\n",
       "      <td>19.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>29</th>\n",
       "      <td>318.0</td>\n",
       "      <td>324.0</td>\n",
       "      <td>6.21</td>\n",
       "      <td>16.0</td>\n",
       "      <td>2.0</td>\n",
       "      <td>127.611650</td>\n",
       "      <td>1.0</td>\n",
       "      <td>2.0</td>\n",
       "      <td>156.768113</td>\n",
       "      <td>127.611650</td>\n",
       "      <td>...</td>\n",
       "      <td>139.961165</td>\n",
       "      <td>35.0</td>\n",
       "      <td>3.0</td>\n",
       "      <td>1.0</td>\n",
       "      <td>3.0</td>\n",
       "      <td>23.0</td>\n",
       "      <td>1.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>0.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>30</th>\n",
       "      <td>10204.0</td>\n",
       "      <td>9475.0</td>\n",
       "      <td>3.33</td>\n",
       "      <td>974.0</td>\n",
       "      <td>258.0</td>\n",
       "      <td>3314.844088</td>\n",
       "      <td>189.0</td>\n",
       "      <td>65.0</td>\n",
       "      <td>3578.806842</td>\n",
       "      <td>3314.844088</td>\n",
       "      <td>...</td>\n",
       "      <td>4794.848377</td>\n",
       "      <td>585.0</td>\n",
       "      <td>3.0</td>\n",
       "      <td>35.0</td>\n",
       "      <td>84.0</td>\n",
       "      <td>389.0</td>\n",
       "      <td>125.0</td>\n",
       "      <td>74.0</td>\n",
       "      <td>101.0</td>\n",
       "      <td>56.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>31</th>\n",
       "      <td>6474.0</td>\n",
       "      <td>6349.0</td>\n",
       "      <td>12.77</td>\n",
       "      <td>415.0</td>\n",
       "      <td>177.0</td>\n",
       "      <td>2502.000000</td>\n",
       "      <td>75.0</td>\n",
       "      <td>29.0</td>\n",
       "      <td>2885.525037</td>\n",
       "      <td>2502.000000</td>\n",
       "      <td>...</td>\n",
       "      <td>3211.957358</td>\n",
       "      <td>569.0</td>\n",
       "      <td>4.0</td>\n",
       "      <td>34.0</td>\n",
       "      <td>77.0</td>\n",
       "      <td>398.0</td>\n",
       "      <td>151.0</td>\n",
       "      <td>56.0</td>\n",
       "      <td>145.0</td>\n",
       "      <td>56.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>...</th>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1268</th>\n",
       "      <td>9132.0</td>\n",
       "      <td>9334.0</td>\n",
       "      <td>6.76</td>\n",
       "      <td>456.0</td>\n",
       "      <td>203.0</td>\n",
       "      <td>3324.428701</td>\n",
       "      <td>115.0</td>\n",
       "      <td>47.0</td>\n",
       "      <td>3423.441243</td>\n",
       "      <td>3324.428701</td>\n",
       "      <td>...</td>\n",
       "      <td>4481.177284</td>\n",
       "      <td>859.0</td>\n",
       "      <td>1.0</td>\n",
       "      <td>79.0</td>\n",
       "      <td>78.0</td>\n",
       "      <td>600.0</td>\n",
       "      <td>161.0</td>\n",
       "      <td>101.0</td>\n",
       "      <td>199.0</td>\n",
       "      <td>129.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1269</th>\n",
       "      <td>424.0</td>\n",
       "      <td>365.0</td>\n",
       "      <td>7.01</td>\n",
       "      <td>20.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>146.017355</td>\n",
       "      <td>5.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>174.565126</td>\n",
       "      <td>146.017355</td>\n",
       "      <td>...</td>\n",
       "      <td>244.942221</td>\n",
       "      <td>55.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>9.0</td>\n",
       "      <td>37.0</td>\n",
       "      <td>6.0</td>\n",
       "      <td>4.0</td>\n",
       "      <td>16.0</td>\n",
       "      <td>2.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1270</th>\n",
       "      <td>142.0</td>\n",
       "      <td>124.0</td>\n",
       "      <td>8.39</td>\n",
       "      <td>7.0</td>\n",
       "      <td>6.0</td>\n",
       "      <td>52.985075</td>\n",
       "      <td>0.0</td>\n",
       "      <td>1.0</td>\n",
       "      <td>62.413646</td>\n",
       "      <td>52.985075</td>\n",
       "      <td>...</td>\n",
       "      <td>58.283582</td>\n",
       "      <td>22.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>2.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>10.0</td>\n",
       "      <td>1.0</td>\n",
       "      <td>3.0</td>\n",
       "      <td>4.0</td>\n",
       "      <td>0.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1271</th>\n",
       "      <td>625.0</td>\n",
       "      <td>657.0</td>\n",
       "      <td>4.80</td>\n",
       "      <td>29.0</td>\n",
       "      <td>17.0</td>\n",
       "      <td>219.541139</td>\n",
       "      <td>5.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>239.704405</td>\n",
       "      <td>219.541139</td>\n",
       "      <td>...</td>\n",
       "      <td>314.477848</td>\n",
       "      <td>44.0</td>\n",
       "      <td>2.0</td>\n",
       "      <td>2.0</td>\n",
       "      <td>2.0</td>\n",
       "      <td>30.0</td>\n",
       "      <td>2.0</td>\n",
       "      <td>8.0</td>\n",
       "      <td>4.0</td>\n",
       "      <td>2.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1273</th>\n",
       "      <td>7293.0</td>\n",
       "      <td>7017.0</td>\n",
       "      <td>1.77</td>\n",
       "      <td>667.0</td>\n",
       "      <td>175.0</td>\n",
       "      <td>2869.034916</td>\n",
       "      <td>137.0</td>\n",
       "      <td>34.0</td>\n",
       "      <td>3032.955450</td>\n",
       "      <td>2869.034916</td>\n",
       "      <td>...</td>\n",
       "      <td>3508.259465</td>\n",
       "      <td>626.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>22.0</td>\n",
       "      <td>56.0</td>\n",
       "      <td>509.0</td>\n",
       "      <td>167.0</td>\n",
       "      <td>39.0</td>\n",
       "      <td>142.0</td>\n",
       "      <td>25.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1274</th>\n",
       "      <td>27783.0</td>\n",
       "      <td>26505.0</td>\n",
       "      <td>1.56</td>\n",
       "      <td>1763.0</td>\n",
       "      <td>866.0</td>\n",
       "      <td>13128.982703</td>\n",
       "      <td>292.0</td>\n",
       "      <td>201.0</td>\n",
       "      <td>14641.684325</td>\n",
       "      <td>13128.982703</td>\n",
       "      <td>...</td>\n",
       "      <td>14643.839408</td>\n",
       "      <td>2416.0</td>\n",
       "      <td>2.0</td>\n",
       "      <td>64.0</td>\n",
       "      <td>156.0</td>\n",
       "      <td>1840.0</td>\n",
       "      <td>256.0</td>\n",
       "      <td>354.0</td>\n",
       "      <td>405.0</td>\n",
       "      <td>102.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1275</th>\n",
       "      <td>23135.0</td>\n",
       "      <td>21226.0</td>\n",
       "      <td>2.92</td>\n",
       "      <td>2078.0</td>\n",
       "      <td>758.0</td>\n",
       "      <td>9110.053737</td>\n",
       "      <td>454.0</td>\n",
       "      <td>168.0</td>\n",
       "      <td>9937.540098</td>\n",
       "      <td>9110.053737</td>\n",
       "      <td>...</td>\n",
       "      <td>11568.350051</td>\n",
       "      <td>2137.0</td>\n",
       "      <td>1.0</td>\n",
       "      <td>63.0</td>\n",
       "      <td>415.0</td>\n",
       "      <td>1445.0</td>\n",
       "      <td>455.0</td>\n",
       "      <td>213.0</td>\n",
       "      <td>508.0</td>\n",
       "      <td>95.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1276</th>\n",
       "      <td>6867.0</td>\n",
       "      <td>6273.0</td>\n",
       "      <td>3.78</td>\n",
       "      <td>609.0</td>\n",
       "      <td>229.0</td>\n",
       "      <td>2758.000000</td>\n",
       "      <td>136.0</td>\n",
       "      <td>46.0</td>\n",
       "      <td>2970.563510</td>\n",
       "      <td>2758.000000</td>\n",
       "      <td>...</td>\n",
       "      <td>3725.705411</td>\n",
       "      <td>507.0</td>\n",
       "      <td>2.0</td>\n",
       "      <td>25.0</td>\n",
       "      <td>92.0</td>\n",
       "      <td>320.0</td>\n",
       "      <td>95.0</td>\n",
       "      <td>68.0</td>\n",
       "      <td>150.0</td>\n",
       "      <td>29.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1277</th>\n",
       "      <td>44448.0</td>\n",
       "      <td>40867.0</td>\n",
       "      <td>5.91</td>\n",
       "      <td>3986.0</td>\n",
       "      <td>1260.0</td>\n",
       "      <td>17925.589606</td>\n",
       "      <td>856.0</td>\n",
       "      <td>259.0</td>\n",
       "      <td>19245.330546</td>\n",
       "      <td>17925.589606</td>\n",
       "      <td>...</td>\n",
       "      <td>22154.416637</td>\n",
       "      <td>3530.0</td>\n",
       "      <td>8.0</td>\n",
       "      <td>114.0</td>\n",
       "      <td>501.0</td>\n",
       "      <td>2544.0</td>\n",
       "      <td>763.0</td>\n",
       "      <td>363.0</td>\n",
       "      <td>819.0</td>\n",
       "      <td>257.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1278</th>\n",
       "      <td>10420.0</td>\n",
       "      <td>10527.0</td>\n",
       "      <td>3.89</td>\n",
       "      <td>1165.0</td>\n",
       "      <td>202.0</td>\n",
       "      <td>3965.918287</td>\n",
       "      <td>251.0</td>\n",
       "      <td>50.0</td>\n",
       "      <td>4269.028050</td>\n",
       "      <td>3965.918287</td>\n",
       "      <td>...</td>\n",
       "      <td>5037.791004</td>\n",
       "      <td>437.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>14.0</td>\n",
       "      <td>45.0</td>\n",
       "      <td>316.0</td>\n",
       "      <td>95.0</td>\n",
       "      <td>62.0</td>\n",
       "      <td>82.0</td>\n",
       "      <td>27.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1279</th>\n",
       "      <td>48526.0</td>\n",
       "      <td>46053.0</td>\n",
       "      <td>3.79</td>\n",
       "      <td>3934.0</td>\n",
       "      <td>1283.0</td>\n",
       "      <td>21081.071650</td>\n",
       "      <td>701.0</td>\n",
       "      <td>271.0</td>\n",
       "      <td>22669.643704</td>\n",
       "      <td>21081.071650</td>\n",
       "      <td>...</td>\n",
       "      <td>26357.684018</td>\n",
       "      <td>5301.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>147.0</td>\n",
       "      <td>326.0</td>\n",
       "      <td>4204.0</td>\n",
       "      <td>636.0</td>\n",
       "      <td>617.0</td>\n",
       "      <td>1086.0</td>\n",
       "      <td>371.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1280</th>\n",
       "      <td>17554.0</td>\n",
       "      <td>18121.0</td>\n",
       "      <td>0.70</td>\n",
       "      <td>1534.0</td>\n",
       "      <td>508.0</td>\n",
       "      <td>8110.306181</td>\n",
       "      <td>277.0</td>\n",
       "      <td>91.0</td>\n",
       "      <td>8752.463431</td>\n",
       "      <td>8110.306181</td>\n",
       "      <td>...</td>\n",
       "      <td>9526.718131</td>\n",
       "      <td>1819.0</td>\n",
       "      <td>1.0</td>\n",
       "      <td>65.0</td>\n",
       "      <td>222.0</td>\n",
       "      <td>1375.0</td>\n",
       "      <td>250.0</td>\n",
       "      <td>156.0</td>\n",
       "      <td>310.0</td>\n",
       "      <td>46.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1281</th>\n",
       "      <td>26020.0</td>\n",
       "      <td>26361.0</td>\n",
       "      <td>20.09</td>\n",
       "      <td>2652.0</td>\n",
       "      <td>835.0</td>\n",
       "      <td>9120.094870</td>\n",
       "      <td>543.0</td>\n",
       "      <td>186.0</td>\n",
       "      <td>9654.939763</td>\n",
       "      <td>9120.094870</td>\n",
       "      <td>...</td>\n",
       "      <td>12304.592137</td>\n",
       "      <td>1918.0</td>\n",
       "      <td>9.0</td>\n",
       "      <td>66.0</td>\n",
       "      <td>299.0</td>\n",
       "      <td>1369.0</td>\n",
       "      <td>462.0</td>\n",
       "      <td>175.0</td>\n",
       "      <td>523.0</td>\n",
       "      <td>210.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1282</th>\n",
       "      <td>4157.0</td>\n",
       "      <td>3565.0</td>\n",
       "      <td>8.91</td>\n",
       "      <td>319.0</td>\n",
       "      <td>80.0</td>\n",
       "      <td>1381.270668</td>\n",
       "      <td>57.0</td>\n",
       "      <td>11.0</td>\n",
       "      <td>1430.538871</td>\n",
       "      <td>1381.270668</td>\n",
       "      <td>...</td>\n",
       "      <td>2112.259989</td>\n",
       "      <td>190.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>10.0</td>\n",
       "      <td>25.0</td>\n",
       "      <td>128.0</td>\n",
       "      <td>37.0</td>\n",
       "      <td>27.0</td>\n",
       "      <td>36.0</td>\n",
       "      <td>16.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1283</th>\n",
       "      <td>34014.0</td>\n",
       "      <td>33276.0</td>\n",
       "      <td>6.19</td>\n",
       "      <td>2831.0</td>\n",
       "      <td>1036.0</td>\n",
       "      <td>14077.028363</td>\n",
       "      <td>618.0</td>\n",
       "      <td>204.0</td>\n",
       "      <td>14811.359030</td>\n",
       "      <td>14077.028363</td>\n",
       "      <td>...</td>\n",
       "      <td>17642.305977</td>\n",
       "      <td>2052.0</td>\n",
       "      <td>2.0</td>\n",
       "      <td>67.0</td>\n",
       "      <td>192.0</td>\n",
       "      <td>1508.0</td>\n",
       "      <td>432.0</td>\n",
       "      <td>283.0</td>\n",
       "      <td>501.0</td>\n",
       "      <td>85.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1284</th>\n",
       "      <td>24393.0</td>\n",
       "      <td>23878.0</td>\n",
       "      <td>4.42</td>\n",
       "      <td>1645.0</td>\n",
       "      <td>1096.0</td>\n",
       "      <td>9789.753297</td>\n",
       "      <td>372.0</td>\n",
       "      <td>212.0</td>\n",
       "      <td>10398.996125</td>\n",
       "      <td>9789.753297</td>\n",
       "      <td>...</td>\n",
       "      <td>11962.861875</td>\n",
       "      <td>1861.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>54.0</td>\n",
       "      <td>209.0</td>\n",
       "      <td>1290.0</td>\n",
       "      <td>274.0</td>\n",
       "      <td>301.0</td>\n",
       "      <td>425.0</td>\n",
       "      <td>82.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1285</th>\n",
       "      <td>608.0</td>\n",
       "      <td>639.0</td>\n",
       "      <td>14.56</td>\n",
       "      <td>49.0</td>\n",
       "      <td>19.0</td>\n",
       "      <td>240.730964</td>\n",
       "      <td>7.0</td>\n",
       "      <td>1.0</td>\n",
       "      <td>320.925581</td>\n",
       "      <td>240.730964</td>\n",
       "      <td>...</td>\n",
       "      <td>306.571912</td>\n",
       "      <td>38.0</td>\n",
       "      <td>9.0</td>\n",
       "      <td>1.0</td>\n",
       "      <td>4.0</td>\n",
       "      <td>18.0</td>\n",
       "      <td>4.0</td>\n",
       "      <td>6.0</td>\n",
       "      <td>12.0</td>\n",
       "      <td>1.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1286</th>\n",
       "      <td>632.0</td>\n",
       "      <td>598.0</td>\n",
       "      <td>7.15</td>\n",
       "      <td>31.0</td>\n",
       "      <td>22.0</td>\n",
       "      <td>265.530935</td>\n",
       "      <td>5.0</td>\n",
       "      <td>6.0</td>\n",
       "      <td>297.140131</td>\n",
       "      <td>265.530935</td>\n",
       "      <td>...</td>\n",
       "      <td>351.010072</td>\n",
       "      <td>72.0</td>\n",
       "      <td>4.0</td>\n",
       "      <td>6.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>52.0</td>\n",
       "      <td>8.0</td>\n",
       "      <td>3.0</td>\n",
       "      <td>14.0</td>\n",
       "      <td>2.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1287</th>\n",
       "      <td>317.0</td>\n",
       "      <td>338.0</td>\n",
       "      <td>4.58</td>\n",
       "      <td>27.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>107.641745</td>\n",
       "      <td>1.0</td>\n",
       "      <td>2.0</td>\n",
       "      <td>115.707318</td>\n",
       "      <td>107.641745</td>\n",
       "      <td>...</td>\n",
       "      <td>165.906542</td>\n",
       "      <td>48.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>2.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>33.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>3.0</td>\n",
       "      <td>11.0</td>\n",
       "      <td>4.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1288</th>\n",
       "      <td>556.0</td>\n",
       "      <td>543.0</td>\n",
       "      <td>4.28</td>\n",
       "      <td>29.0</td>\n",
       "      <td>1.0</td>\n",
       "      <td>192.308244</td>\n",
       "      <td>11.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>216.125664</td>\n",
       "      <td>192.308244</td>\n",
       "      <td>...</td>\n",
       "      <td>305.899642</td>\n",
       "      <td>58.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>2.0</td>\n",
       "      <td>8.0</td>\n",
       "      <td>36.0</td>\n",
       "      <td>8.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>13.0</td>\n",
       "      <td>0.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1289</th>\n",
       "      <td>474.0</td>\n",
       "      <td>483.0</td>\n",
       "      <td>5.61</td>\n",
       "      <td>21.0</td>\n",
       "      <td>12.0</td>\n",
       "      <td>175.000000</td>\n",
       "      <td>3.0</td>\n",
       "      <td>1.0</td>\n",
       "      <td>187.000000</td>\n",
       "      <td>175.000000</td>\n",
       "      <td>...</td>\n",
       "      <td>252.000000</td>\n",
       "      <td>31.0</td>\n",
       "      <td>1.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>4.0</td>\n",
       "      <td>23.0</td>\n",
       "      <td>3.0</td>\n",
       "      <td>3.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>0.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1291</th>\n",
       "      <td>25875.0</td>\n",
       "      <td>26134.0</td>\n",
       "      <td>10.48</td>\n",
       "      <td>1912.0</td>\n",
       "      <td>792.0</td>\n",
       "      <td>10279.879883</td>\n",
       "      <td>357.0</td>\n",
       "      <td>183.0</td>\n",
       "      <td>10847.999784</td>\n",
       "      <td>10279.879883</td>\n",
       "      <td>...</td>\n",
       "      <td>12643.901391</td>\n",
       "      <td>1840.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>90.0</td>\n",
       "      <td>209.0</td>\n",
       "      <td>1269.0</td>\n",
       "      <td>347.0</td>\n",
       "      <td>267.0</td>\n",
       "      <td>383.0</td>\n",
       "      <td>135.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1292</th>\n",
       "      <td>981.0</td>\n",
       "      <td>909.0</td>\n",
       "      <td>12.18</td>\n",
       "      <td>72.0</td>\n",
       "      <td>133.0</td>\n",
       "      <td>320.224688</td>\n",
       "      <td>12.0</td>\n",
       "      <td>26.0</td>\n",
       "      <td>391.480140</td>\n",
       "      <td>320.224688</td>\n",
       "      <td>...</td>\n",
       "      <td>445.530000</td>\n",
       "      <td>52.0</td>\n",
       "      <td>3.0</td>\n",
       "      <td>3.0</td>\n",
       "      <td>9.0</td>\n",
       "      <td>32.0</td>\n",
       "      <td>12.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>6.0</td>\n",
       "      <td>3.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1293</th>\n",
       "      <td>2359.0</td>\n",
       "      <td>2208.0</td>\n",
       "      <td>8.18</td>\n",
       "      <td>172.0</td>\n",
       "      <td>40.0</td>\n",
       "      <td>946.000000</td>\n",
       "      <td>29.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>1005.130389</td>\n",
       "      <td>946.000000</td>\n",
       "      <td>...</td>\n",
       "      <td>1335.368023</td>\n",
       "      <td>146.0</td>\n",
       "      <td>6.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>11.0</td>\n",
       "      <td>111.0</td>\n",
       "      <td>18.0</td>\n",
       "      <td>13.0</td>\n",
       "      <td>25.0</td>\n",
       "      <td>15.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1294</th>\n",
       "      <td>954.0</td>\n",
       "      <td>963.0</td>\n",
       "      <td>13.18</td>\n",
       "      <td>33.0</td>\n",
       "      <td>25.0</td>\n",
       "      <td>368.000000</td>\n",
       "      <td>10.0</td>\n",
       "      <td>3.0</td>\n",
       "      <td>400.000000</td>\n",
       "      <td>368.000000</td>\n",
       "      <td>...</td>\n",
       "      <td>483.000000</td>\n",
       "      <td>74.0</td>\n",
       "      <td>10.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>15.0</td>\n",
       "      <td>36.0</td>\n",
       "      <td>11.0</td>\n",
       "      <td>8.0</td>\n",
       "      <td>13.0</td>\n",
       "      <td>0.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1295</th>\n",
       "      <td>26826.0</td>\n",
       "      <td>25856.0</td>\n",
       "      <td>4.78</td>\n",
       "      <td>2111.0</td>\n",
       "      <td>753.0</td>\n",
       "      <td>10363.061937</td>\n",
       "      <td>366.0</td>\n",
       "      <td>149.0</td>\n",
       "      <td>11028.844943</td>\n",
       "      <td>10363.061937</td>\n",
       "      <td>...</td>\n",
       "      <td>13742.201794</td>\n",
       "      <td>1948.0</td>\n",
       "      <td>3.0</td>\n",
       "      <td>60.0</td>\n",
       "      <td>273.0</td>\n",
       "      <td>1365.0</td>\n",
       "      <td>297.0</td>\n",
       "      <td>247.0</td>\n",
       "      <td>419.0</td>\n",
       "      <td>86.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1296</th>\n",
       "      <td>15072.0</td>\n",
       "      <td>14783.0</td>\n",
       "      <td>5.24</td>\n",
       "      <td>910.0</td>\n",
       "      <td>551.0</td>\n",
       "      <td>6033.502470</td>\n",
       "      <td>197.0</td>\n",
       "      <td>97.0</td>\n",
       "      <td>6358.662532</td>\n",
       "      <td>6033.502470</td>\n",
       "      <td>...</td>\n",
       "      <td>7400.243545</td>\n",
       "      <td>1396.0</td>\n",
       "      <td>3.0</td>\n",
       "      <td>71.0</td>\n",
       "      <td>199.0</td>\n",
       "      <td>876.0</td>\n",
       "      <td>177.0</td>\n",
       "      <td>247.0</td>\n",
       "      <td>301.0</td>\n",
       "      <td>45.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1297</th>\n",
       "      <td>177.0</td>\n",
       "      <td>176.0</td>\n",
       "      <td>3.26</td>\n",
       "      <td>14.0</td>\n",
       "      <td>3.0</td>\n",
       "      <td>70.000000</td>\n",
       "      <td>5.0</td>\n",
       "      <td>1.0</td>\n",
       "      <td>88.000000</td>\n",
       "      <td>70.000000</td>\n",
       "      <td>...</td>\n",
       "      <td>98.000000</td>\n",
       "      <td>25.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>3.0</td>\n",
       "      <td>6.0</td>\n",
       "      <td>9.0</td>\n",
       "      <td>3.0</td>\n",
       "      <td>2.0</td>\n",
       "      <td>9.0</td>\n",
       "      <td>0.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1298</th>\n",
       "      <td>278.0</td>\n",
       "      <td>259.0</td>\n",
       "      <td>7.58</td>\n",
       "      <td>17.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>109.978022</td>\n",
       "      <td>6.0</td>\n",
       "      <td>1.0</td>\n",
       "      <td>122.384802</td>\n",
       "      <td>109.978022</td>\n",
       "      <td>...</td>\n",
       "      <td>139.509158</td>\n",
       "      <td>41.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>1.0</td>\n",
       "      <td>1.0</td>\n",
       "      <td>31.0</td>\n",
       "      <td>10.0</td>\n",
       "      <td>3.0</td>\n",
       "      <td>10.0</td>\n",
       "      <td>2.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1299</th>\n",
       "      <td>758.0</td>\n",
       "      <td>728.0</td>\n",
       "      <td>5.61</td>\n",
       "      <td>44.0</td>\n",
       "      <td>9.0</td>\n",
       "      <td>289.000000</td>\n",
       "      <td>5.0</td>\n",
       "      <td>4.0</td>\n",
       "      <td>305.000000</td>\n",
       "      <td>289.000000</td>\n",
       "      <td>...</td>\n",
       "      <td>438.000000</td>\n",
       "      <td>77.0</td>\n",
       "      <td>2.0</td>\n",
       "      <td>6.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>56.0</td>\n",
       "      <td>13.0</td>\n",
       "      <td>6.0</td>\n",
       "      <td>14.0</td>\n",
       "      <td>18.0</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "<p>1277 rows × 30 columns</p>\n",
       "</div>"
      ],
      "text/plain": [
       "      P14_POP  P09_POP  SUPERF  NAIS0914  DECE0914       P14_MEN  NAISD16  \\\n",
       "0     20996.0  20258.0    2.42    1564.0     749.0   8909.817815    257.0   \n",
       "1      8155.0   7920.0    9.21     639.0     243.0   2891.000000    152.0   \n",
       "2       242.0    229.0    3.89       9.0       4.0     93.154812      1.0   \n",
       "3       446.0    447.0    4.61      18.0      21.0    186.507593      0.0   \n",
       "4       838.0    828.0    9.82      45.0      29.0    340.831981      5.0   \n",
       "5       636.0    638.0    7.60      39.0      18.0    235.109005      6.0   \n",
       "7      1008.0   1042.0    1.70      48.0      31.0    414.467066     11.0   \n",
       "8       503.0    463.0    8.25      32.0      13.0    204.000000      7.0   \n",
       "10     2620.0   2530.0   14.07     133.0      79.0   1036.386176     35.0   \n",
       "11    14874.0  14439.0    1.43    1197.0     466.0   6534.089505    185.0   \n",
       "12    14297.0  13321.0    2.84    1109.0     468.0   4941.985565    267.0   \n",
       "13      975.0    971.0    3.71      79.0     106.0    321.681732     12.0   \n",
       "14     3644.0   3676.0    9.91     136.0     144.0   1354.000000     30.0   \n",
       "15    19732.0  18876.0    4.32    1459.0     488.0   7971.178287    266.0   \n",
       "16    28431.0  28012.0    4.16    2606.0     764.0  10978.043086    557.0   \n",
       "17     2250.0   1994.0    2.60     110.0      56.0    816.553817     22.0   \n",
       "18     8733.0   8777.0    3.02     467.0     294.0   3536.000000    114.0   \n",
       "19      145.0    122.0    8.10      11.0       4.0     52.000000      5.0   \n",
       "20     5842.0   5454.0   19.36     368.0     172.0   2115.000000    103.0   \n",
       "21    31647.0  31490.0   11.99    3282.0     735.0  10605.075410    615.0   \n",
       "22    44985.0  43128.0    9.38    4542.0    1251.0  16644.256939    903.0   \n",
       "23     1745.0   1736.0    4.33      75.0      43.0    651.533503      5.0   \n",
       "24    15126.0  15354.0    7.36     880.0     353.0   5746.105302    152.0   \n",
       "25     3199.0   3247.0    2.78     112.0     186.0   1523.000000     22.0   \n",
       "26    51747.0  51459.0    8.46    4156.0    1610.0  20356.560378    875.0   \n",
       "27      915.0    907.0    8.16      32.0      27.0    329.221992      8.0   \n",
       "28     2183.0   2126.0    5.77     115.0     156.0    844.013989     20.0   \n",
       "29      318.0    324.0    6.21      16.0       2.0    127.611650      1.0   \n",
       "30    10204.0   9475.0    3.33     974.0     258.0   3314.844088    189.0   \n",
       "31     6474.0   6349.0   12.77     415.0     177.0   2502.000000     75.0   \n",
       "...       ...      ...     ...       ...       ...           ...      ...   \n",
       "1268   9132.0   9334.0    6.76     456.0     203.0   3324.428701    115.0   \n",
       "1269    424.0    365.0    7.01      20.0       5.0    146.017355      5.0   \n",
       "1270    142.0    124.0    8.39       7.0       6.0     52.985075      0.0   \n",
       "1271    625.0    657.0    4.80      29.0      17.0    219.541139      5.0   \n",
       "1273   7293.0   7017.0    1.77     667.0     175.0   2869.034916    137.0   \n",
       "1274  27783.0  26505.0    1.56    1763.0     866.0  13128.982703    292.0   \n",
       "1275  23135.0  21226.0    2.92    2078.0     758.0   9110.053737    454.0   \n",
       "1276   6867.0   6273.0    3.78     609.0     229.0   2758.000000    136.0   \n",
       "1277  44448.0  40867.0    5.91    3986.0    1260.0  17925.589606    856.0   \n",
       "1278  10420.0  10527.0    3.89    1165.0     202.0   3965.918287    251.0   \n",
       "1279  48526.0  46053.0    3.79    3934.0    1283.0  21081.071650    701.0   \n",
       "1280  17554.0  18121.0    0.70    1534.0     508.0   8110.306181    277.0   \n",
       "1281  26020.0  26361.0   20.09    2652.0     835.0   9120.094870    543.0   \n",
       "1282   4157.0   3565.0    8.91     319.0      80.0   1381.270668     57.0   \n",
       "1283  34014.0  33276.0    6.19    2831.0    1036.0  14077.028363    618.0   \n",
       "1284  24393.0  23878.0    4.42    1645.0    1096.0   9789.753297    372.0   \n",
       "1285    608.0    639.0   14.56      49.0      19.0    240.730964      7.0   \n",
       "1286    632.0    598.0    7.15      31.0      22.0    265.530935      5.0   \n",
       "1287    317.0    338.0    4.58      27.0       5.0    107.641745      1.0   \n",
       "1288    556.0    543.0    4.28      29.0       1.0    192.308244     11.0   \n",
       "1289    474.0    483.0    5.61      21.0      12.0    175.000000      3.0   \n",
       "1291  25875.0  26134.0   10.48    1912.0     792.0  10279.879883    357.0   \n",
       "1292    981.0    909.0   12.18      72.0     133.0    320.224688     12.0   \n",
       "1293   2359.0   2208.0    8.18     172.0      40.0    946.000000     29.0   \n",
       "1294    954.0    963.0   13.18      33.0      25.0    368.000000     10.0   \n",
       "1295  26826.0  25856.0    4.78    2111.0     753.0  10363.061937    366.0   \n",
       "1296  15072.0  14783.0    5.24     910.0     551.0   6033.502470    197.0   \n",
       "1297    177.0    176.0    3.26      14.0       3.0     70.000000      5.0   \n",
       "1298    278.0    259.0    7.58      17.0       5.0    109.978022      6.0   \n",
       "1299    758.0    728.0    5.61      44.0       9.0    289.000000      5.0   \n",
       "\n",
       "      DECESD16       P14_LOG        P14_RP     ...       P14_ACT1564  ETTOT15  \\\n",
       "0        156.0   9337.392497   8909.817815     ...      10146.844242   1475.0   \n",
       "1         46.0   3086.000000   2891.000000     ...       4044.000000    878.0   \n",
       "2          1.0    106.271929     93.154812     ...        109.355649     13.0   \n",
       "3          6.0    267.570530    186.507593     ...        204.811694     74.0   \n",
       "4          9.0    364.250976    340.831981     ...        400.064890     75.0   \n",
       "5          4.0    258.714268    235.109005     ...        323.526066     64.0   \n",
       "7          3.0    450.237570    414.467066     ...        540.215569     86.0   \n",
       "8          1.0    260.000000    204.000000     ...        257.000000     45.0   \n",
       "10        25.0   1173.240323   1036.386176     ...       1327.716003    205.0   \n",
       "11        86.0   7113.805172   6534.089505     ...       8092.617589   1441.0   \n",
       "12        91.0   5256.635645   4941.985565     ...       6780.188765   1158.0   \n",
       "13        32.0    344.217012    321.681732     ...        474.378756     77.0   \n",
       "14        29.0   1417.175784   1354.000000     ...       1646.350730    427.0   \n",
       "15       104.0   8169.632390   7971.178287     ...       9672.583391   1457.0   \n",
       "16       161.0  11792.163301  10978.043086     ...      14185.439224   2239.0   \n",
       "17        16.0    872.149500    816.553817     ...       1149.334265    128.0   \n",
       "18        72.0   3755.713765   3536.000000     ...       4230.929318    786.0   \n",
       "19         0.0     59.000000     52.000000     ...         77.000000     14.0   \n",
       "20        31.0   2362.000000   2115.000000     ...       2720.000000    374.0   \n",
       "21       162.0  11442.914066  10605.075410     ...      14233.727945   1983.0   \n",
       "22       299.0  17620.057323  16644.256939     ...      20006.595358   3097.0   \n",
       "23        10.0    694.836747    651.533503     ...        755.778863    135.0   \n",
       "24        85.0   6116.506960   5746.105302     ...       7582.289628   1380.0   \n",
       "25        39.0   1654.158788   1523.000000     ...       1352.631894    222.0   \n",
       "26       359.0  21620.617532  20356.560378     ...      26574.807601   3733.0   \n",
       "27         4.0    379.656700    329.221992     ...        447.940040     81.0   \n",
       "28        29.0    934.678546    844.013989     ...       1018.047863    233.0   \n",
       "29         2.0    156.768113    127.611650     ...        139.961165     35.0   \n",
       "30        65.0   3578.806842   3314.844088     ...       4794.848377    585.0   \n",
       "31        29.0   2885.525037   2502.000000     ...       3211.957358    569.0   \n",
       "...        ...           ...           ...     ...               ...      ...   \n",
       "1268      47.0   3423.441243   3324.428701     ...       4481.177284    859.0   \n",
       "1269       0.0    174.565126    146.017355     ...        244.942221     55.0   \n",
       "1270       1.0     62.413646     52.985075     ...         58.283582     22.0   \n",
       "1271       0.0    239.704405    219.541139     ...        314.477848     44.0   \n",
       "1273      34.0   3032.955450   2869.034916     ...       3508.259465    626.0   \n",
       "1274     201.0  14641.684325  13128.982703     ...      14643.839408   2416.0   \n",
       "1275     168.0   9937.540098   9110.053737     ...      11568.350051   2137.0   \n",
       "1276      46.0   2970.563510   2758.000000     ...       3725.705411    507.0   \n",
       "1277     259.0  19245.330546  17925.589606     ...      22154.416637   3530.0   \n",
       "1278      50.0   4269.028050   3965.918287     ...       5037.791004    437.0   \n",
       "1279     271.0  22669.643704  21081.071650     ...      26357.684018   5301.0   \n",
       "1280      91.0   8752.463431   8110.306181     ...       9526.718131   1819.0   \n",
       "1281     186.0   9654.939763   9120.094870     ...      12304.592137   1918.0   \n",
       "1282      11.0   1430.538871   1381.270668     ...       2112.259989    190.0   \n",
       "1283     204.0  14811.359030  14077.028363     ...      17642.305977   2052.0   \n",
       "1284     212.0  10398.996125   9789.753297     ...      11962.861875   1861.0   \n",
       "1285       1.0    320.925581    240.730964     ...        306.571912     38.0   \n",
       "1286       6.0    297.140131    265.530935     ...        351.010072     72.0   \n",
       "1287       2.0    115.707318    107.641745     ...        165.906542     48.0   \n",
       "1288       0.0    216.125664    192.308244     ...        305.899642     58.0   \n",
       "1289       1.0    187.000000    175.000000     ...        252.000000     31.0   \n",
       "1291     183.0  10847.999784  10279.879883     ...      12643.901391   1840.0   \n",
       "1292      26.0    391.480140    320.224688     ...        445.530000     52.0   \n",
       "1293       7.0   1005.130389    946.000000     ...       1335.368023    146.0   \n",
       "1294       3.0    400.000000    368.000000     ...        483.000000     74.0   \n",
       "1295     149.0  11028.844943  10363.061937     ...      13742.201794   1948.0   \n",
       "1296      97.0   6358.662532   6033.502470     ...       7400.243545   1396.0   \n",
       "1297       1.0     88.000000     70.000000     ...         98.000000     25.0   \n",
       "1298       1.0    122.384802    109.978022     ...        139.509158     41.0   \n",
       "1299       4.0    305.000000    289.000000     ...        438.000000     77.0   \n",
       "\n",
       "      ETAZ15  ETBE15  ETFZ15  ETGU15  ETGZ15  ETOQ15  ETTEF115  ETTEFP1015  \n",
       "0        3.0    38.0   142.0  1078.0   225.0   214.0     335.0        67.0  \n",
       "1        8.0    47.0   135.0   623.0   241.0    65.0     228.0        72.0  \n",
       "2        2.0     0.0     2.0     5.0     2.0     4.0       4.0         0.0  \n",
       "3        0.0     6.0     6.0    48.0    17.0    14.0      13.0         4.0  \n",
       "4        6.0     3.0     8.0    53.0    12.0     5.0      14.0         2.0  \n",
       "5        5.0     4.0     7.0    40.0    10.0     8.0      20.0         0.0  \n",
       "7        0.0     3.0    13.0    65.0    20.0     5.0      19.0         2.0  \n",
       "8        6.0     3.0     4.0    27.0     3.0     5.0      12.0         0.0  \n",
       "10       6.0    14.0    31.0   129.0    23.0    25.0      36.0         7.0  \n",
       "11       0.0    29.0    92.0  1107.0   176.0   213.0     223.0        69.0  \n",
       "12       4.0    44.0   230.0   758.0   224.0   122.0     325.0        40.0  \n",
       "13       4.0     4.0    10.0    45.0     7.0    14.0      19.0         5.0  \n",
       "14       3.0    23.0    44.0   325.0    81.0    32.0      92.0        36.0  \n",
       "15       2.0    61.0   271.0   961.0   246.0   162.0     364.0        63.0  \n",
       "16       6.0    83.0   375.0  1590.0   437.0   185.0     472.0       170.0  \n",
       "17       3.0    10.0    14.0    88.0    14.0    13.0      19.0         2.0  \n",
       "18       0.0    41.0   113.0   547.0   123.0    85.0     238.0        56.0  \n",
       "19       4.0     0.0     2.0     7.0     0.0     1.0       3.0         0.0  \n",
       "20       2.0    25.0    71.0   223.0    76.0    53.0      71.0        32.0  \n",
       "21       5.0    93.0   264.0  1365.0   460.0   256.0     489.0       142.0  \n",
       "22       2.0    83.0   334.0  2173.0   672.0   505.0     760.0       181.0  \n",
       "23       3.0     6.0    12.0    98.0    17.0    16.0      34.0         3.0  \n",
       "24      11.0    31.0   165.0   992.0   239.0   181.0     314.0        85.0  \n",
       "25       0.0     7.0    10.0   172.0    24.0    33.0      20.0         7.0  \n",
       "26       9.0   167.0   568.0  2487.0   661.0   502.0     797.0       225.0  \n",
       "27       1.0     2.0     6.0    57.0    14.0    15.0      10.0         4.0  \n",
       "28       3.0     7.0    20.0   160.0    44.0    43.0      61.0        19.0  \n",
       "29       3.0     1.0     3.0    23.0     1.0     5.0       7.0         0.0  \n",
       "30       3.0    35.0    84.0   389.0   125.0    74.0     101.0        56.0  \n",
       "31       4.0    34.0    77.0   398.0   151.0    56.0     145.0        56.0  \n",
       "...      ...     ...     ...     ...     ...     ...       ...         ...  \n",
       "1268     1.0    79.0    78.0   600.0   161.0   101.0     199.0       129.0  \n",
       "1269     5.0     0.0     9.0    37.0     6.0     4.0      16.0         2.0  \n",
       "1270     7.0     2.0     0.0    10.0     1.0     3.0       4.0         0.0  \n",
       "1271     2.0     2.0     2.0    30.0     2.0     8.0       4.0         2.0  \n",
       "1273     0.0    22.0    56.0   509.0   167.0    39.0     142.0        25.0  \n",
       "1274     2.0    64.0   156.0  1840.0   256.0   354.0     405.0       102.0  \n",
       "1275     1.0    63.0   415.0  1445.0   455.0   213.0     508.0        95.0  \n",
       "1276     2.0    25.0    92.0   320.0    95.0    68.0     150.0        29.0  \n",
       "1277     8.0   114.0   501.0  2544.0   763.0   363.0     819.0       257.0  \n",
       "1278     0.0    14.0    45.0   316.0    95.0    62.0      82.0        27.0  \n",
       "1279     7.0   147.0   326.0  4204.0   636.0   617.0    1086.0       371.0  \n",
       "1280     1.0    65.0   222.0  1375.0   250.0   156.0     310.0        46.0  \n",
       "1281     9.0    66.0   299.0  1369.0   462.0   175.0     523.0       210.0  \n",
       "1282     0.0    10.0    25.0   128.0    37.0    27.0      36.0        16.0  \n",
       "1283     2.0    67.0   192.0  1508.0   432.0   283.0     501.0        85.0  \n",
       "1284     7.0    54.0   209.0  1290.0   274.0   301.0     425.0        82.0  \n",
       "1285     9.0     1.0     4.0    18.0     4.0     6.0      12.0         1.0  \n",
       "1286     4.0     6.0     7.0    52.0     8.0     3.0      14.0         2.0  \n",
       "1287     5.0     2.0     5.0    33.0     5.0     3.0      11.0         4.0  \n",
       "1288     5.0     2.0     8.0    36.0     8.0     7.0      13.0         0.0  \n",
       "1289     1.0     0.0     4.0    23.0     3.0     3.0       5.0         0.0  \n",
       "1291     5.0    90.0   209.0  1269.0   347.0   267.0     383.0       135.0  \n",
       "1292     3.0     3.0     9.0    32.0    12.0     5.0       6.0         3.0  \n",
       "1293     6.0     5.0    11.0   111.0    18.0    13.0      25.0        15.0  \n",
       "1294    10.0     5.0    15.0    36.0    11.0     8.0      13.0         0.0  \n",
       "1295     3.0    60.0   273.0  1365.0   297.0   247.0     419.0        86.0  \n",
       "1296     3.0    71.0   199.0   876.0   177.0   247.0     301.0        45.0  \n",
       "1297     5.0     3.0     6.0     9.0     3.0     2.0       9.0         0.0  \n",
       "1298     5.0     1.0     1.0    31.0    10.0     3.0      10.0         2.0  \n",
       "1299     2.0     6.0     7.0    56.0    13.0     6.0      14.0        18.0  \n",
       "\n",
       "[1277 rows x 30 columns]"
      ]
     },
     "execution_count": 2,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "x"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "source": [
    "## Validation du modèle et choix du nombre de classes\n",
    "Dans le cas du clustering, il est très difficile de valider le modèle avec des indicateurs\n",
    "statistiques. En effet, on ne peut pas tester la qualité prédictive. Nous allons\n",
    "essayer de faire en sorte d’obtenir des classes les plus homogènes possibles et de\n",
    "minimiser l’inertie. \n",
    "\n",
    "Afin de choisir le nombre de classe à utiliser on peut utiliser un\n",
    "graphique. Elle représente l’inertie par nombre de classes. On recherche un coude\n",
    "dans cette courbe pour décider le nombre à retenir."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "outputs": [],
   "source": [
    "from sklearn.cluster import KMeans\n",
    "import matplotlib.pyplot as plt\n",
    "%matplotlib inline"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "slideshow": {
     "slide_type": "fragment"
    }
   },
   "outputs": [],
   "source": [
    "# on crée une liste dans laquelle on stocke les inerties\n",
    "inerties=[]\n",
    "# on fait une boucle de 2 à 9 pour tester toutes ces possibiliéts\n",
    "for k in range(2, 10):\n",
    "    # pour chaque k, on crée un modèle et on l’ajuste\n",
    "    kmeans=KMeans(n_clusters=k)\n",
    "    kmeans.fit(x)\n",
    "    # on stocke l’inertie associée\n",
    "    inerties.append(kmeans.inertia_)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[1222087304717.3293,\n",
       " 631159298490.2705,\n",
       " 393974318390.71783,\n",
       " 303546628824.60974,\n",
       " 255083301178.73758,\n",
       " 226335095448.19644,\n",
       " 196972234452.39252,\n",
       " 169674700147.64374]"
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "inerties"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "\n",
    "# on représente le graphique\n",
    "fig=plt.figure(figsize=(6, 4))\n",
    "plt.plot(range(2, 10), inerties)\n",
    "plt.xlabel(\"Nombre de clusters\")\n",
    "plt.ylabel(\"Inertie\")\n",
    "plt.title('Inertie vs nombre de classes')\n",
    "plt.savefig(\"./elbow.png\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "fragment"
    }
   },
   "source": [
    "![image](./images/elbow.png)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "source": [
    "## Application des k-means\n",
    "Pour appliquer les k-means sur nos données, on utilisera :"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "slideshow": {
     "slide_type": "fragment"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "KMeans(n_clusters=4)"
      ]
     },
     "execution_count": 10,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "from sklearn.cluster import KMeans\n",
    "\n",
    "modele_km = KMeans(n_clusters=4)\n",
    "\n",
    "modele_km.fit(x)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([1, 0, 0, ..., 0, 0, 0], dtype=int32)"
      ]
     },
     "execution_count": 11,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "modele_km.labels_"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {
    "scrolled": true,
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "                           0         1         2          3\n",
      "Nombre d’individus   1063.00    172.00     32.00      10.00\n",
      "P14_POP              2520.14  30048.72  75067.59  177206.80\n",
      "P09_POP              2438.52  29077.12  73660.69  177166.40\n",
      "SUPERF                  9.48      8.59      8.29       8.21\n",
      "NAIS0914              157.02   2467.56   6120.00   12244.80\n",
      "DECE0914               77.66    872.23   2127.72    5637.90\n",
      "P14_MEN               971.20  12136.82  32671.56   90563.71\n",
      "NAISD16                30.86    486.42   1192.66    2333.60\n",
      "DECESD16               17.10    181.58    428.94    1147.60\n",
      "P14_LOG              1065.33  13126.00  36851.11  104668.51\n",
      "P14_RP                971.20  12136.82  32671.56   90563.71\n",
      "P14_RSECOCC            30.34    232.42   1688.96    6173.12\n",
      "P14_LOGVAC             63.78    756.76   2490.60    7931.68\n",
      "P14_RP_PROP           669.37   5693.89  13125.46   29323.08\n",
      "NBMENFISC14           958.26  11736.59  30785.59   82067.90\n",
      "MED14               25363.69  22238.60  25189.03   26142.57\n",
      "P14_EMPLT             756.00  12154.64  53519.14  107240.28\n",
      "P14_EMPLT_SAL         662.39  11006.97  48372.26   92635.95\n",
      "P09_EMPLT             732.02  12126.41  53240.56  108029.47\n",
      "P14_POP1564          1641.37  19756.05  50433.32  123403.33\n",
      "P14_CHOM1564          124.05   2034.11   5228.42   11852.98\n",
      "P14_ACT1564          1253.88  14934.71  38380.76   95412.51\n",
      "ETTOT15               208.70   2707.62  12275.59   31466.20\n",
      "ETAZ15                  5.23      4.63     14.66      27.80\n",
      "ETBE15                  9.37     95.80    358.25     797.40\n",
      "ETFZ15                 25.19    285.85    833.16    1513.10\n",
      "ETGU15                141.75   1996.67   9936.03   25662.30\n",
      "ETGZ15                 35.38    462.74   1590.19    3482.30\n",
      "ETOQ15                 27.15    324.67   1133.50    3465.60\n",
      "ETTEF115               45.59    604.03   2785.53    6722.00\n",
      "ETTEFP1015             12.71    166.35    731.22    1217.90\n"
     ]
    }
   ],
   "source": [
    "# on stocke les classes d’appartenance dans classes\n",
    "classes=modele_km.labels_\n",
    "# on crée un DataFrame avec le nombre d’individus par calsse\n",
    "count=pd.DataFrame(np.unique(classes,return_counts=True)[1],\n",
    "columns=[\"Nombre d’individus\"])\n",
    "# on stocke les centres des classes dans un DataFrame\n",
    "centres=pd.DataFrame(modele_km.cluster_centers_,columns=x.columns)\n",
    "# on affiche le DataFrame avec les deux informations\n",
    "pd.set_option('precision',2)\n",
    "print(pd.concat([count,pd.DataFrame(centres,columns=x.columns)],axis=1).T)\n",
    "pd.reset_option('precision')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {
    "scrolled": false,
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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mhiuuuIKqqiqGDRvGvn37AFi9enX79W984xvE4/G0PKSUbNq0iWnTpgEwc+ZMXnvttazrpncXnmNYu+MQc17dRTQUoi2R4Ac3DmNyVfnpLpaGhoaGxjmAXM8xNTU1LF68mC1btlBaWkp9fX3GM1OnTuWOO+4AYO7cuTz//PPce++9PProo2zcuJHy8nIaGhoAeOaZZ7j//vuZPn06ra2txONx9u7dy4svvsiWLVuIRqPcddddrFmzhhkzZrTnUVdXR69evYhEDFpUUVHBoUOHAtcrBU2yziHUNbYw59VdNLclaCYBwHdf3cWoAaWUFOWf5tJpaGhoaJzN6Ig5JqU9Ki0tBaC4uDjjmd27dzN37lwaGhpobGxk/PjxAIwaNYpZs2Zx0003MXXqVABGjhzJ4sWLqa2tZerUqQwcOJA333yT7du3M2LECACampro3bt3Wh5Syox8c7EhQJOscwi1HzcRDYXaBz9ANBSi9uMmTbI0NDQ0NLJCR8wxUkpPMjNr1ixee+01KisrWblyJZs3bwYMrdXWrVvZsGEDVVVV7Nixg1tuuYXq6mo2bNjA+PHjWbFiBVJKZs6cyZIlSxzzKC0tpaGhgVgsRiQSoba2lrKyskB1MkPZJ0sIERZC/E4IsT75d6UQ4tdCiN8LIdYJIXrYvNNXCPGWEGKvEKJGCHF/1iXWcETF+d1oSyTSrrUlElSc3+00lUhDQ0ND41xBR8wxY8eO5aWXXqKurg7A1lx44sQJ+vTpQ1tbG2vWrGm//v7771NdXc2jjz5KaWkpBw8e5MCBA/Tv35/77ruPyZMns2vXLsaOHcsrr7zChx9+2J7HBx98kJaHEIJrrrmGV155BYB/+qd/YsqUKYHrlYIfx/f7gb2mv1cA35NSDgX+DXjQ5p0Y8G0p5WXAlcDdQohBQQur4Y6Sonx+cOMwCqIhuudHKIiG+MGNw7QWS0NDQ0Mja3TEHDN48GAefvhhrr76aiorK3nggQcynlm0aBHV1dVcd911XHrppe3XH3zwQYYOHcqQIUMYPXo0lZWVvPjiiwwZMoSqqiree+89ZsyYwaBBg3jssccYN24cw4YN47rrruPIkSMZ+Tz++OP8+Mc/ZsCAAdTV1fG1r30tcL1SEHZ2yIyHhKgA/glYDDwgpZwkhDgO9JRSSiFEX2CjlNKVQAkh1gJLpZT/4fbc8OHD5bZt25QroZGO/X85wY6DDVT17cWAT3U/3cXpEqhrbKH24yYqzu+mSa2GhsZZg71793LZZZf5eqeryzu7NhNCbJdSDrc+q+qT9RPgu4B5xt4NTAbWAn8D9HVLQAhxMXA5sNXh/p3AnQAXXXSRYrE0rNC7Czsfus01NDS6EkqK8rskuQoCT3OhEGIS8KGUcrvl1lcxzH/bMciXY2hUIUQR8Crwd1LK43bPSCmXSymHSymHX3DBBcoV0DgF886PEy0xmtsSfPfVXWmxTHQMrdxCpc01NDQ0NLomVDRZo4DJQogJQAHQQwixWkp5KzAOQAhxCTDR7mUhRBSDYK2RUv5rboqtYQevnR9a45J76B2dGhoaGhpO8NRkSSkfklJWSCkvBv4W2CSlvFUI0RtACBEC5gLPWN8Vxr7M54G9Usof57TkGhlw2/mhNS4dA72jU0NDQ0PDCdkcq/MVIcT/Au8Bh4GfAwghyoQQbySfGQXcBlwrhNiR/JmQVYk1HOG28yOlcTEjpXHpKghqKnV7L8huG22y1dDQ0Oga8BWMVEq5Gdic/P0p4CmbZw4DE5K/vwNkHzJVwxXmnR6Tq8oZNaA0Y+dHV9e4BDWVqrzn1Oa5LIeGhoaGxtkHfUD0WY61Ow4x6vFN3LpiK6Me38TrOw5RUpRPZd9eaZO9qsblXNSyuJlK3errx8Rq1+bZpJctzsV+1NDQ6DpYsGABTzzxRKfmuXTpUgYMGIAQgqNHj+YkTX2szlkMv+dIeWlczlUti5Nz+pqtf+Jnm/c71jfXTu2d5STfkf3Y1ePjaGhonLsYNWoUkyZNYsyYMTlLU2uyzmIE8bNy0rgE1bL41ZicDg2Lnam0NZ5g2Vv7XOubaxNrZ5hsO1JbZqc1teattWcaGl0AJ4/Coe3G/znAqlWrGDZsGJWVldx2220Z95977jlGjBhBZWUlN954I5988gkAL7/8MkOGDKGyspLRo0cDUFNTwxVXXEFVVRXDhg1j3759AKxevbr9+je+8Q3i8XhGPpdffjkXX3xxTuqUgiZZZzFyOWkHIWxek262z3tBdVK3M5Xec80A8sLhtOes9c31ERK5Mtm63e+oDQ5e5C3XfauhoXGG4vcvw5NDYNWXjP9//0pWydXU1LB48WI2bdrEzp07eeqpDFdvpk6dym9/+1t27tzJZZddxvPPPw/Ao48+ysaNG9m5cyevv/46YBwaff/997Njxw62bdtGRUUFe/fu5cUXX2TLli3s2LGDcDicdgZiR0KbC89ipCbt71pMQ0FIgF/C5tdU6fd5L/g1iVlNpQDLNu/3rK8fp3YVZGuy9brfUdoyN1MnkNO+1dDQOENx8iisvRdiTcYPwNp7oP8YKCwNlOSmTZuYNm0apaXG+8XFxRnP7N69m7lz59LQ0EBjYyPjx48HDPPerFmzuOmmm5g6dSoAI0eOZPHixdTW1jJ16lQGDhzIm2++yfbt2xkxYgQATU1N9O7dO1B5/UKTrLMc5km7MC/MydY4dY0tvic3v4TNr3+R1yTth8QEJWzWoyDc6mv1PcolWXBKz6teKvXOlng7+Vy5kTcdkFVDo4ug4QMIR08RLDD+bvggMMmSUmKE1HTGrFmzeO2116isrGTlypVs3rwZMLRWW7duZcOGDVRVVbFjxw5uueUWqqur2bBhA+PHj2fFihVIKZk5cyZLliwJVMZsoEnWOYCSonze2X80a2dnP1obvxoTp+d3HzrGzct/7avc2UzqKuEuTtcGAK96qdY7qPbNrd5e5K0rhwfR0Ogy6NUP4m3p1+JtxvWAGDt2LF/+8peZPXs2JSUl1NfXZ2izTpw4QZ8+fWhra2PNmjWUlxty6f3336e6uprq6mrWrVvHwYMHOXbsGP379+e+++7jwIED7Nq1i3HjxjFlyhRmz55N7969qa+v58SJE/TrF7zcqtA+WWcRnHxxTseZhX79leyenzdxEIs27PHtpB3UJKYS7uJ0Rsb3qpefetvVy8vPy6vek6vK2TLnWlZ/vZotc67NIGC58l3T0NA4Q1FYClOWQqQb5Pcw/p+yNLAWC2Dw4ME8/PDDXH311VRWVvLAAw9kPLNo0SKqq6u57rrruPTSS9uvP/jggwwdOpQhQ4YwevRoKisrefHFFxkyZAhVVVW89957zJgxg0GDBvHYY48xbtw4hg0bxnXXXceRI0cy8nn66aepqKigtraWYcOG8fWvfz1wvVIQUsqsE8k1hg8fLrdt23a6i3FGwU3LsPNgA7eu2MqJllj7893zI6z+ejWVfXspa2aCaHD8buk3P1/7cZNrud3w+o5DaVqVeZMGMaSsp2M56hpbGPX4JprbTpGUgmiILXOuTXveqy07GtZ6WfvA674dVPpVtd5u/R0kvIMOCaGhcXqxd+9eLrvsMn8vnTxqmAh79cuKYJ2tsGszIcR2KeVw67PaXHgWwMsXR/XMQjf/pVz5OXnB+ryKZsZuIjabxHYfOsai9XtcSYSqqa2jHMe9yETq/qgBpWyZc63js35Ngar9qlLvXJtRz9W4bBoa5zwKS7skuQoCbS48C+C1LT8XZxZ29NmGduYqFTOTW2iAFMFUMTmqkievMgUxu3qFN7De37L/qGv0eJXo8imo9mtJUT7zJg0iLxKiMD9sW+9chnDQB5ZraGh0BWhN1lkAFYKQ7ZmFHRko001j4aaZUdHCOGmoag4fo2e3vLTdgaq77nLpEJ+LHYPW9PyY11T7de2OQ0ltoKAtlmD+DYPT6lZz+DghyzGk2YRwyHZHojYzamhonA3QJOssgCpBsDPd+Xk36NZ/Lz8dlbADdqETVCZiOxLRHItzx6pt5IXDaWTIT7gLa1uq1MOuHXK1YxCCkTyVfjXXLYVFG/Zw/ZALKSnKZ+2OQ3z3lV20xHIXwsGJ/BXmhdl5sMGVPGkzo4aGxtkCTbLOEmQTFFP13SB5eE142ZCIeZMGeWphrCSiNZ4gnkjQEoeWmOHEbSZDQcNdeNXDqR1ytWMwKMkD735VCTRqJVj5EZFVCIeSonxu+nwFq37zp/ZrI/qdz6Sl77j2S66D2mpoaGh0JLRP1lkEP744ft9N+RoBynmo+NXYkYiWuKGx8Epr0fo9zJs4yNY/yuwbZQ4t8NyM4XSLpq8dzIQhqC+Q6uYCa5pePl6q4Q+8fKu8fKLc+l8l0KgZ5+WFeW7G8KxCONQ1tvDS9tq0a7/aX+fZLx3tO6ihoaGRS2hN1jkIv/4qQc0vKloqs6YJoLktgZCSSUvfScvHKa0h5T1Zf89V7DjYQFXfXgz4VHfH8qbIl5tWRaXMdu3nZnbbebDBNU0vTZKKBjEXO0id4DfQaEJKBpf19F0HM+z6wQrV3Z+tcR34VEPjXMOCBQsoKiriO9/5TqflOX36dLZt20Y0GuWKK67g2WefJRqNZpWmJllnMII49/olTCqO2U5lUDV1Ta4qZ1CfHkx4+lcAtMQlxKVSGIrdh46xaMOeNBPiovV7HMvrRRi8yhzESV+lHbxCXajcD0ryVOBGku4eM4Clb+0nL+zuq+cnnIddm1nhtvvz2y/vpC1uxPiLJxJs2X9U+2VpaGhkhenTp7N69WoAbrnlFlasWMG3vvWtrNLU5sIzFH63xEMwU5ib+UXFBKVqJjrZGic/km4i9ApDYRcRfuG6PYSF8y43gFEDSll+2+dZNv1zaZHJvcqs0n52Zrcg5rIU/ISEcIq47sevyy0va91S/b/87QOA5M7R/TPaMyjs2mzGyIuU2nDUgFJCpiEQS9Dh4R9yfWKChsbZjPrmenYf3U19c31O0lu1ahXDhg2jsrKS2267LeP+c889x4gRI6isrOTGG2/kk08+AeDll19myJAhVFZWMnr0aABqamq44oorqKqqYtiwYezbtw+A1atXt1//xje+QTwez8hnwoQJCCEQQnDFFVdQW1ub8YxfaE3WGYig5p9c7/JSKYOqmShIGArb+oSNEANO6aho8pzKnE1YgY7YNGCHoDtIc6HhXLZ5P7dUX+RZL1UNrF2b3T/2Es93az9uIi8cbt/YAB17ILXezaihcQpvHHiD+e/OJxKKEEvEWPiFhUzoPyFwejU1NSxevJgtW7ZQWlpKfX0mcZs6dSp33HEHAHPnzuX555/n3nvv5dFHH2Xjxo2Ul5fT0GD4FD/zzDPcf//9TJ8+ndbWVuLxOHv37uXFF19ky5YtRKNR7rrrLtasWcOMGTNsy9TW1sYLL7zAU089FbheKWiSdQYi6GQfJNaV0wR9sjWuXAYVM1HQMBTW+sQTkvk3DE4zIdpporzIqV2Zs40VZpemE+HI1o/Kmm628casCDoG/RISa5upjKVcxHRTJYJ6N6OGxinUN9cz/935NMebIakImv/ufK4su5LigmL3lx2wadMmpk2bRmmpEUHeejg0wO7du5k7dy4NDQ00NjYyfvx4AEaNGsWsWbO46aabmDp1KgAjR45k8eLF1NbWMnXqVAYOHMibb77J9u3bGTFiBABNTU307t3bsUx33XUXo0eP5otf/GKgOpmhSdYZiKCTiCqRscJugnZzIA96fp1fbY9TfSZXlXP9kAtzqokK0n5eE7Ub4cimrG6O/3bv5lLD6TYGO4uQpPrpwVd2EhYh4tJoA8Azxhb4I4LZjikNjXMJhxsPEwlF2gkWQCQU4XDj4cAkS0qJsLiAWDFr1ixee+01KisrWblyJZs3bwYMrdXWrVvZsGEDVVVV7Nixg1tuuYXq6mo2bNjA+PHjWbFiBVJKZs6cyZIlSzzLs3DhQj766COeffbZQPWxQpOsMxB+Jns/Gg2vPO38jKxlcIsxpTJ5+XGOhlP+VSAYXNYjbbdfLjVRqmcHpuBV12zOm/Qqp18iEzQvw+F9X1pQ11yZq7ON2G64vAsQgBRs+6A+Y6zafQd+268jT0LQ0DjbUFZURiwRS7sWS7bQNXMAACAASURBVMQoKyoLnObYsWP58pe/zOzZsykpKaG+vj5Dm3XixAn69OlDW1sba9asobzckLXvv/8+1dXVVFdXs27dOg4ePMixY8fo378/9913HwcOHGDXrl2MGzeOKVOmMHv2bHr37k19fT0nTpygX79+afmsWLGCjRs38uabbxIK5cZlXZOsMwx+Jnu/Gg2/sBI2gFGPb7KdoMD/0SrZaILsEFSTl+sdmeBNOIKWNYhmxW9e5vYAwZ2j+3NL9UU5M+Nl6+OUan9zgNRVvzaCmqba5dsv7yQkyIj677f9gvaTRtdBVzriqbigmIVfWJjhkxVUiwUwePBgHn74Ya6++mrC4TCXX345K1euTHtm0aJFVFdX069fP4YOHcqJEycAePDBB9m3bx9SSsaOHUtlZSXf//73Wb16NdFolAsvvJBHHnmE4uJiHnvsMcaNG0cikSAajbJs2bIMkvXNb36Tfv36MXLkSMDwBXvkkUcC1w1ASCmzSqAjMHz4cLlt27bTXYxOh4p2xI7wpFAQDbFlzrWePiZBBcLOgw3cumIrJ1pOrWS650dY/fVqAMd7lX17BaprkPo51dHNN8otH7v33NohVVfV8vvtD7t08yIh3rj3KgZ8qrvvdlFJ36nd7dJ7fcchW/NukPSdYNf+XkjlAdl9N6njmDpyQu1Kk/bZjnNhU8TevXu57LLLfL1T31zP4cbDlBWVZUWwzlbYtZkQYruUcrj1Wa3JOkPgpR2xfsx3jxngW6ORrUDw0lSomlVyoQlym4ismrygvlFOplHVuFhBz5s0t5NbUFRwDu5qBxUNp6qmx6lNsznCR5VQqMTYsiKVR2XfXhn9Mm/ioLRQInYoKQp2HJNfnAuTdldBV94UUVxQ3CXJVRBoknWGQOX8OPPHvPSt/aQ8U1Jw8xXJhUDwIg6qZhWVidaNyPiZiIL6RnmFsFCpq9OGAhUthVdQVK/grkG1ISoE0qtN3chcLnycUu1vDkgqgEhYUBAJt59faY70Yc7D3C/WYLdOY6kzJtSuPGmfjQi6YNCayq4FTbLOEKicH2f+mPPCIe4c3Z9lm/cr+YoEEQh2wsBNU5HLmFlORAb8+X55kdfaj5vao8j7CWGhWlcz4VAlhyqTbSq4a2s8M1ZUNhoXFQKZ7Vhy6leVnYEpWAOSSiAkYNn0yxlc1pMt+4+61iH1+83Lf600ljpjl+GZtpPxbCIDp6OsQRYMWlPZ9aBJVifBSwh4TW52H/Mt1RdxS/VFSsLFr0BwEwZumgoVk1Q2miC/R8i4Hddz8/Jfp5mMhpT3VAphkVZXcQIadoPoB4WljnX2o6XIRtPnpYFTmYy8CGRhXpiWeHZjybyp4539Rxn1+CbXicdabruApHnhMD275SmTYD+kJhc7V3P9jXYkVMjAmULCckVc/NbH76YIransmtAkqxOgKgScJoaSonxu+nwFq37zp/ZnbxpekXZfBapb8jtDGKRMXuaDn+1gJW1+JyI7QWg+ridVv0Ub9qQ5PysJ0N+/DGvvhXAU4m0wZSkMnWZbjlxP6E7lc9PA+dFwOZHl1FgWyQ0zBVFjm7PfsbRlzrVU9u2lNNbsvp9RA0rVSLCLs76fseR3QrW2l2qbnwk7GYP2Sa41MqobNXIhq4LWx0/InDNNU6nROdAkq4PhVwg4TQwvbU8/Q+mlbbXcP/YSJfOMeXJV2ZKfK9OiG4IKtdREZA1E6Zan0nE9FhNixfnd3AXoyaMGwYo1GT8Aa++B/mNsNVodMaH7CSKrekySG8xjOYVEQvLGfV90JMleY0llg4MTSfNLSOzGnJ807EKauJk4gxCAoHHu7PIOmkbQPvFLbNzKqCofckFcsq2PivYe/MmAM0VLqJE9NMkKCNWPIBdCwG8aZgFldgK2nkHnVIdcmhbtkK1QswaiVIFVEKqYEM1xxzLQ8IGhwYqdOpiacNS4bkOy/Gopgvh8ueXj55gkJ9R+3JRxOHd+xAhp4ISK87vRajmI1TyWvMaa29j3Q0jcyJpTPDqn3Z0lRZm7fe3GfNBvX3XSdkJH7yLOhUxzK6Mf+ZALE2tnaZhUZYD22zKwYMECioqK+M53vtNpeX7ta19j27ZtSCm55JJLWLlyJUVFRVmlqUmWA3KxyoLcCAG/KyCrgLIiGgqxZuuf+JnFad7sc+Un4nxnnYtnzs8ciDIXuyRTzu/K9ejVzzARmhFvM647IMixQm7mLj8EzU3DZdbGuKW/+9CxDELlNZbf2X+UhGkTbCSUblr0GmteY1+VkLiNucq+vXx946pjviN8rLz6vzN2EWdbL68y+pEPuTCxdqYvnJcM0H5bpxdPPvkkPXr0AOCBBx5g6dKlfO9738sqTU2ybJCrVRZkLwRSQjXlRxQkPIIVrfEEy97aR0tMOjpH9yspZP09V3kGXgxCmLIRan7zc5qU/JgQbetRWGr4YK29J90ny6rFOnnU0G71Mhzjs9FS+PXv8dJw3fT5CiYtfefU38MreGlbreO4X7RhT0Y+8yYO8vSXSYVZAAiHQu0nBKSQ6ouaw8dIHZ/kVu4gfkrZLlSCkIBsym43bnOpPfMia25kQLVeTnl4ldGvfFAhLtlsOso13GTA2eK3Fauvp+3QIaLl5URsDnT2i1WrVvHEE08ghGDYsGG88MILafefe+45li9fTmtrKwMGDOCFF17gvPPO4+WXX2bhwoWEw2F69uzJ22+/TU1NDbfffjutra0kEgleffVVBg4cyOrVq3n66adpbW2lurqan/3sZ4TD4bR8UgRLSklTU5PnmYoq0CTLgmwFrGrYAxWNhFWozps0iCFlPV3fsRNQ0bBIO2Lk7jEDWP72gbSdWW7O0XYR293ya43HOdbUSl1jS3s5rfUNKtT8CGCvSUnFhOhK/IZOM3ywTCQqDT4c472gSu5VD+guzAszaek7aelZj6bxGveF+WGGlPd0LLPdO3lh+wnDzSk/20kU/E2kuSQBTmX3qykfNaA0Z9ozVbLuRga8+sQtDxXtpF/54FTWbDcddTbOpB2mTji2fj1H5s5DRCLIWIw+ix+j58SJgdOrqalh8eLFbNmyhdLSUurr6zOemTp1KnfccQcAc+fO5fnnn+fee+/l0UcfZePGjZSXl9PQ0AAYh0bff//9TJ8+ndbWVuLxOHv37uXFF19ky5YtRKNR7rrrLtasWcOMGTMy8rr99tt54403GDRoED/60Y8C1ysFTbIsyEbAqoY9UN0ebRWqi9bv8Tz+w0lAWR12l23en1GHIM7R1vya2mIkJNy95nfteUuwrW/Qg6xVV9GdonEsLLUP3eDHMd6i7bKDygrXzwHddqEwrPAa9/GEdHXaLcwLK00YKn2V7SQKuYvj5nesWMseRFO+/LbP50R7lktzlFOfqASr9Wq/XJCeXGw66mx0tlbNL2L19RyZOw/Z3NweCvvIw3MpHDkysEZr06ZNTJs2jdJSQ/ZZD4cG2L17N3PnzqWhoYHGxkbGjx8PwKhRo5g1axY33XQTU6dOBWDkyJEsXryY2tpapk6dysCBA3nzzTfZvn07I0aMAKCpqYnevXvblufnP/858Xice++9lxdffJHbb789UL1S6JIky20VGVTAglqQTNUPPxu1sVsoiBSCOke7aepqDh/njlXbaIklaEsGyXzwlZ2AoCXmLHDrGlt8BaLMZQwkc31UBbvSuV2qjvGK2i6vcel3QrFLzwrruJ83aRAL1+0hGhbEE1LJadfOBGl9J+hYD0IYzBOpkxyw+8bnTUo/eicoCQiqKQeRtfYMzpygqirtZyU9Kv5o5vtnguktyC7BM0WrZoe2Q4cMDZbpmohEaDt0KDDJklJ6muVmzZrFa6+9RmVlJStXrmTz5s2AobXaunUrGzZsoKqqih07dnDLLbdQXV3Nhg0bGD9+PCtWrEBKycyZM1myZIlSmcLhMDfffDM//OEPNcnyCxUTUpBVlmqQTLsPPywEb733Iddc2rv9WRW1sZ/z+6zw4xydytNLU9ezW5S8cCjNKT0sQsYuQBPM7ZJNKAc3gpaN2cSt3d448EbGCfQT+k/IfFDFMd6HtstrXNYcPk7I0tBuE4pdem6EaO2OQ8mo+IK2WIL5NwxW0r6+tK02zbcPMsMeBDWRZDOJeo27jKN31mcevRNE8xFUUz64rIfj4s5u/DuVLRtz1OkMqurVX0FjqXUkstkleCZo1ewQLS9HxtIPZpexGNHy4Lsfx44dy5e//GVmz55NSUkJ9fX1GdqsEydO0KdPH9ra2lizZg3lyfzef/99qqurqa6uZt26dRw8eJBjx47Rv39/7rvvPg4cOMCuXbsYN24cU6ZMYfbs2fTu3Zv6+npOnDhBv36n5LGUkvfff58BAwYgpWTdunVceumlgeuVQpciWaorX1U/Cr+TutNzJ1vjLFhXw9y1u9MEuNukmottvtY6uOWp0na2JiWZyAizkGqXbE0XXqQv12aT+uZ65r87n+Z4MyQ32c1/dz5Xll2ZqdFScYz3GQbCaVyu3XGI776SvuPS3M5OsEvv/rGX2I57a3ysRRv2cP2QC5W0JCdb41T27eVKaoOYSIJO5qp9n/pd9egdFWRjirT2l0qkfCuCtrVfeWMEPt5PXtg+j1yeP5ptLDU/2ibVZ7OVbWdqnKxIcTF9Fj/GkYfnpvlkZeP8PnjwYB5++GGuvvpqwuEwl19+OStXrkx7ZtGiRVRXV9OvXz+GDh3KiRMnAHjwwQfZt28fUkrGjh1LZWUl3//+91m9ejXRaJQLL7yQRx55hOLiYh577DHGjRtHIpEgGo2ybNmyDJI1c+ZMjh8/jpSSyspK/vEf/zFwvVLoUiTL79ZgP0JBVXiZnwsL0b4lvrHF+N/8IbqRvY7a5uuUp0rbuZlS7drFTfuXyjObrerZmE3shNzhxsNEQpF2ggUQCUU43HjY3mzo5RgfIAyEnQnFGtICID8ilCZPO6IdxJxX19jCsaY2Wh2O2/HqryAmkqCEwY8csNU8h4SnCT2bMnvt7FNd9NjBz85h8zuqeZnlJEjbwMd+y+7VX273s3HQt8LPsx2pZT3d6DlxIoUjR+Z0d+HMmTOZOXNm2rUFCxa0//6tb32Lb33rWxnv/eu//mvGtYceeoiHHnoo4/rNN9/MzTff7FiGUCjEli1bfJRaDV2KZHX0yld1okg999Z7H7JgXU07wQJ74hJk0vMLNy0duLedl19TXWMLy2/7PKnt+V5mIqegoOZyHmtqU3YEtjMrBtnAUFZURiyRriqPJWKUFZU5N6yTY3zqnkoYCBfYjYXz8sI8c+vnGH1JbyWnei94fTfm9oonEkTDgoJIOBChdtvJaocg5MyPHLDVPLfE2X3omKt2zk+ZIdPk52UuCiID7Mqq0t5+/ButcjIV+Dibsnv1l4p2MOhCLcizKmVywtkSJytSXJwTctUVEDrdBehMpFaRBdEQ3fMjFERDvla+ZpgnCGsedsEN7Z675tLexMyRGlH7EFX9tXYebKCuscU1LTCE76jHN3Hriq2MenwTr+84ZFteu7ZLmSzM75rbIJX23Wt+x50vbGPL/qOuaZrPFTzREqO5LcF3X91FXWNLWjnvWLWNprZ0wuPUdnb1c6oPnNrAYM2/uKCYhV9YSEG4gKJoEQXhAhZ+YaGz87sKhk6D2bthxmvG/z5DPNiNhYSUDC7raTjVPzkEVn3J+P/3rwQqott3Y54UTrTEiCUgJGDZ9MvZMudaz237uw8d8xx7VljHtu03d/IoHNpu/O+jPnbPzps0KOP6og172P+XE45jxQupMtt9PyrwO4lb+8lPWVXzUpWTfsvu1V+dIdf9PNtZZdI4O9ClNFnQ8StfN9OBnbYoiLnD671c+juYYbcCH/X4Jt++Em4mPadVbs3h4xlpRcOC/AiuB167lcG8KxIMYuK1yp7QfwJXll3pvbvQCjeNkpu2C+8NDrZjQZxwdap3SlM1eKubGTkvHKZnt7wMjaLdjj1fUfZRHNsKOzb9yIEhZT0pzEs/PigaCrFDcbOLE7LRWljbszUe5+4xAxyf96M9CiqnVOVkELnn1V+nQ6PptSAeNaDUVoOfqzJpnB3ociQLSJsgzH+7PT9v4iAWrqshGg4Rl2rb180TgNO9IMEKwd05P5f+DnZtkbrutaNSNW2rOt9OyIDMSKsgEmbZ9Mvp2S2vfRI0B0BVqZ81COa8iYM8hVxxQXE7uVLyx8kiKKkKqTCE+XBSRLGkKN/Q4jg41a/d12KbplNe5jpazUtOk4L1uB7IPsq+0tj2uWNTdeKLy0yNc1XfXq5jxWtsZGv2T7Xnmq1/Ytlb+1n+9gGWbd5vO0ZUJ2+/csoMP+TJdsx6wKu/VPvTq7xgb771Qwyz2TV9OuJkqYRR0DAgLbLAC12SZPn9ANbuOMSiDXvIi4RojUvm3zBIaft6agIA9xhaVuGQTUTmXPs7uCFbXwknGDuT9qVpqAaX9bRNa3BZT9do4V6+ZBkBXzfsadewmDUudoRcqZ/8BCW1QIVUOJbBwam+PnqhbZqD+vSwvX6iOZZxnJPXhg/rcT3WXZ9ehNppfCiNbZ87NlXgNPEN+FR3xwlRZWzkSmvxs837aYkl2jc/OO2U9Jq8VYKIek32KmSssxy7g5zz6bZjU1Vblq1fVWfHySooKKCuro6SkhJNtDwgpaSuro6CggLld7ocyfL7AdhuX1+/h+sHq21fT03OflT12XygQf0d3EId+DZV5WD1ByJjZ5LTqlMluvSDr+wiHEoPoumkiRtS1pMtc651jZGk3E9ZTPoqOyCdy2DvVH+wpdA2TTvTVzgkWLiuhta4zCBk5p1pXsf1OI1f1/FhY15VGtsBdmyqwGnic9rooRoiIui3l4KfRZXX5O1mqu/ZLepJLNw2zpif6wzH7iDnfGZz8oAZudiY5Fcrlw0qKiqora3lo48+6pT8znYUFBRQUVGh/HyXI1l+PwDV570mAFXik+0Hmkt/BxVBlY2vhFkwQyZZMu9Mctp6rhIEVqb+laL9L3Dvs9S7TjGSlPspi0nfa0x5lsEmhESFQ8BZW9NXXBING/4+KciEZMJP3yE/nD4mUpOCalDeFGzHh4N5VWlsm3ZsJkIRiLdxcvyTdPfSYinswnSa+KzXc0F8VElCLv1FjzW1pvU1QFNbjDtWbUuLd2UtR2eENvAbyyoIkctV2c42v6poNMqnP/3p012McxbKJEsIEQa2AYeklJOEEJXAM0AR8EdgupTyuM171wNPAWFghZTy+7koeFD4/QBy5cypSnxy8YEGjTnkx3Tg9q4ZTsLRKpjvHjPAUcC5HVrt1V6n4khJUgGuzPVw6xc3oavcT4WlcP0S+MUcgzQk4mphGk4epeTYB/xkUgV/t94+CrtSGUxO9am+sJpDnUxfqefMaIlLQNLqYJqyK1NrPMGxprYMf7kU0saPh3lVaWwPncYvPvksz6//Lz4MfYoPXy/iB9FDziapHB7k7dQGXtrkbL69IMcdOfmLJiREQtAtGqE1HichcTVFdkZoA7/mxaBkKZdly6Vf1ZkamFRDDX40WfcDe4Eeyb9XAN+RUv6XEOKrwIPAPPMLSWK2DLgOqAV+K4R4XUqZLrk7EaqaHvPAVv1g3CYAq0nFzknbT/lsYVqNlxRlp37PhcrbzZHaKpiXvrUP6/k7KQfqbA6b9aqHW595CV0737GMtvn9y/DLhyCcB/FW+OvHvSdw06R/fbyN305+kgMX/nVG+fyMFWtfzJs4iCHlPT1NX//vyHFW/eZPp9ouLGiLn9IGWseEtUzNsTjxRIK71/yPmv+NgnnVy5RS19jC7PW1NLelVucJ54k/C585J2T1DePv2wt63JGbv2h+JMSy6Z8DJHet+R/a4s5x/IJsnFF1Nvcqu1N7ZqPd89NvKjuXsyVHZ3pgUg1vKJEsIUQFMBFYDDyQvPxZ4O3k7/8BbMRCsoArgP1SygPJdP4FmAKcNpIF3poeu4Gd8tHx+mDcJoCSoszdbEFMcLbwuRr3Wh2pCiq3UABOAshp2/+do/uzbPP+tLZRObQ6G6IE7mYgO6Fr7kM737F2mCfwFH75EFx2g/MEbjPpd984m8rZ10GhPbG/qgyO1u6ntGIAxb0zBbCTg/+WOde6aiXrGlt4aXttetvFveO6nQqNccw4MDwOJ1qMmGaeZpsc+FT5mvg7wFEesnNe9vPtZXPckZO/aF44RM9uUXYfOpYWKNmuHEG0P36czYMs9lTJkhOBUe03r7Jl61d1tgQm1XCHqibrJ8B3ge6ma7uBycBa4G+AvjbvlQMHTX/XAtV2GQgh7gTuBLjooosUi5V7uJ2D5TcatWrafk1wGfC5GldZHakIKrd0gpjabqm+iFuqL8pwIm5LJCjmOBXiI2rlBXyS6GVrrvVDlFTbViU2mF1UayDYBO73nd+/TPHaeyl2IdeBtJInj1L3vzX0DjXyJ85rv5wfFkgh0nyySsQJOLQ7zZ+ppCifnt3yyAuHaTEdKJuRr9UXKgdR8H1N/B3kKA/BnZdLitRCxnSkv2hhXphFGzLXwvMmDfKtTbVbiKXaxksmBnWf8CJLKjspvdDRvle5sCZonH54kiwhxCTgQynldiHEGNOtrwJPCyEeAV4HWu1et7lmG2RCSrkcWA4wfPhwf4EofCIoOch2YHdY2j4m5myDj6ZU+uC+q8/LqdxrV2IKJUX5rK4+yODfPkyMMBHi1IxYrNReKeE+akCpsibSDmah68uxO8gE7ucdRXLdN/8kn03s4wAl1Cet/WmTgZXoJLWiA0IRNtLCg6E7WZ/4AgDFoRO8dFMZx/LL6FNWQckfXocn7TWonpOQk/bVxmFfyS8lWY+SXv3UiXUOSF2uoRIyBjrWX9ROg1yYF2ZIWc+McrgRGq8FnYo2yK97h5XI2SFXsljJZcADTmP7bHOg17CHiiZrFDBZCDEBKAB6CCFWSylvBcYBCCEuwTAnWlFLuoarAjicXZGzQ0etnFSQy7TTPkwfE3MQH4qSosy4P26O6irCUVktf/Iow3c8AuIUhx++4xG4ZqrrRNhRvgy++jDIBO7nHRVyndR0/d/8MLFQK4/wTdYlvnCqL6xE5/olhkkz1kQI6Cbgh9Hl7KKK4XInP4g+R2R9Hn0tz9qRvJKifG4aXsGqX5/y6bppeIWRrxdBNDnsB4nyPnnKUkbNuUGNWHsd5N2JUA0ZA/78m1T9RVP39v/lBC2xdFNhXEpl531rXZwWdCrfUy4PeU4hW1nsFW5GFW5lz1YLr3FmwJNkSSkfAh4CSGqyviOlvFUI0VtK+aEQIgTMxdhpaMVvgYFCiE8Dh4C/BW7JVeGDIFcrpyDIVdq2H6bixBxEuNg7qu/HqpT0KxyV1PIBTG5BfBlUd/ComnLaEWQCV33Hi1ybiEwUiAp4PLych77xTcN3y47o/GKO4aRvQn5+Pj+/Jp/+b65AxJoh3uz4rLlv6hpbeGlbuk/XS9tquX/sJZQcU+vXbKK8l8weQ0lfRcLkcbRRO3Jw4LYb/C6C/Pg3efmLpu6l5EsoJCAuyQ8LREj4llUqdVGViU5lD+q3ZM43LARtcWMziKqGXOUg7CDpOB07VnP4GKnjeVTS1bsRzxxkEyfrK0KIu5O//yvwcwAhRBlGqIYJUsqYEOIeDKf4MPB/pJQ1WZU4S+Ri5ZTNIPbjWGmXj+OHOecGSmaPSZ8AbCaEIOp3e0f1kK2jela+ZXYIYHLzO1G5rSatfaBqykmD6gTu9x0vrZcNQQ1F8ihu+zNQ7kxg4+mW/1AixmcuKFR61tw3rv1QrNavSn3ZQc7rGcg21IMCQQuyCFL1b1KBnSZNCsGGe65iwKe6u7ypXhfrkUvZbBLIxuw3uaqcE80xFq43vudFG/bQvSDi+T3nytSomo7bZik7+aR3I55Z8EWypJSbgc3J35/CiH9lfeYwMMH09xvAG9kUMpfIduWUi0GcSje1u8dPPq4fZt/SNDOR04TgV/0+b5L9eX52juo5RwCTm98t3E4Tk925hos27FEy5XSkxiNNsLppvbwIaq9+ELOQpETcCDPxy4fS27tPZWZa1mdjrfDFb7ffdu2HwnylflXqyw50Xm9HtqEeFAlaNtruXEz+dmnkh0Nph2PbwcknylqXm4bbH7nktRjrCL+lusYWFm3YQ2ssQWtyb4YKKc2V24dKOkHlk96NeOagy0V8h+Dbq3O1pdaLqLnloxTsUWFC8KN+X7R+T/sH7OWo7hdKWkEP85ndkR6qE5XTxFRz+FhGOyxcV0NeJJT2vu0kluPglma4jp2GD4z/U+3jRVAPvAWmeiOip8p62Q1GenlF0Npo3LeLpD78K8az2/4P/OpH8O7Txv9TllIydJp7oEy3fvXjxN4ZzuvZaMt8ErSg8snv5G/37QUhEG5jMuiRS6rpnw5Smiu3D5V0nOXT8eDySaNT0SVJFgSLUu7nowwSP8qs4XLKp7JvL+9gjxf8Oefn5Q0p75nVDj07+NIKOpjPnNJw2xmpshIGkdkOYcNEaH02bQLqgOCWKTiNnWva3qb7xtn2pM6JyKTKaTb3hcPGs2A8d+CtDLL4i+v+IzOS+sB8+NWPIdZs/CTr/ItPPsui9bW4Bcq07VcFJ/aM76ujndez0ZYFIGhmE6DduDUjSOBkp+/GL4Hwc96f3yOXVNPPJSlticUpzAt7vqsaXNpPOnZld5ZPMph80uh0dFmS5QS3iV91lZdtiAivfLyCPV517zCKO+C8vGz8q6yTopfwVNFwqcS68fJTcJpUBpf1yGiHuDR8sKxH0qSVrwP9g+zGTu9QI4W//DvDGd2J1NkRGdty5p0qpw1ZlGvv4dGWpzhiiaQ+esb59LKklQhFeH79f5mirhuBMv+6f8TwCXMiQgpO7I79GcT3TRXZaMsCEjSVRUiQwMle300uA3KaEURLppp+ENlk/vZlQtISl4RCgklL31FyAykpUgsurVIOtw0J9vKpp2/5vG20fQAAIABJREFUpB3iTw80yTJBZdJWCbxnl8agPj042WqskrwETUmRy9Z30zNOwR4PthRSHHBCyJUq3Ay7iaBfSaGj8FQVXCoCOJuVsF07TK4q5/rBFzoLqw70D7KbpHon/pLs4+ZTF1VInVc5bUhYQkToFzrKEYrar0VDIWrlBfSySevPonfapcmhd+n17CyI5KVr3Mz+ax4ktdOjYJvLFlRbFoCgqdQzaOBk1V1/Ku3phzh5yhYbP8ZcmEDdMLmqnEF9ejDhp+8Ast3fUmVMdeRYNNcjF/JJO8SfPmiSZYKK8Bk1oJTltw0HJIPLemZ8THZpAEx4+lfkR8Ltzp8vbbM/9Bdw3/pu0vK4Eba682/gyE2XUyE+olfZAF8rfFVTmwqcBNH6e65y3HmkKrhUBLBdf4RDgrfe+5BrLu3tOqk4CTfXCagD/YPsJqmvT7qa0H88lv6gCqnzKqcNCQvJGB8kTtWjmOP0T9RR1mtIRlrvDlpA7X8Xpj27kGcIxVtPEcK190Dzcdj49+lxulzIX6dGwXbyrQvSlz4Jmko9g7ZFLuP1+V2UOWrJHNraT/pBicTJ1jj54VD7oeeg1o5B29+LCLqZcs1QlU/6eJ7TC02yTPASPiofsV0aqdVRa9zQOL20rZb191zFyda47Yfm9vFatTx2hC1TE9TC5KrM+rp97CqmNhU41eVka1w50rST4FIRwHb9cbIlzvzXa5i7drdnfQKZSHPlH2SzsrcVrOf5I3X1zfUcbjxM2cBrKZ69276cNiRMTFnKQ/GRfPfVXUwOvctCniESzSO6/DHj2WRa9dEL+fpPd2F2qq8QHxGO5qXvZgyF4Zffg3jLKc3VLx86FeTUUp+6xhaONbXSGnc/Ty8n6AjfOh/mTBUiFJQseX03QbRBfnyiMr4pj7ZWST8bIhG0HXO9SSBIPewIlbWdOnVhopEBTbJMcBM+qoPfmkZLPIGQhr0/hRTJcFLpu8WXsZbBStgg82w9u3KqkCfVOrsJZTdBVNm3V4bwTJ1VaPe8XV4qAU/bgw6GBCeTB96mtqR32IouW/8glx2KGZOUD1L3xoE3mP/ufCKhCLFEjIVfWMiE/hPsH7ZJdzJwVRn0enaWoZVKkaa19xgkq/zzHLRxcK7Pu5CIjKWnH28z/MDiLaeuhaPQZ1g7YUvlax6vCQmREHSLRgKZs9tJZlEZxQXF9g91VuwtB6gsILIx7Tt9N35ixlnLG/gbUmhrr/SzIRJB29Hve9luevIqj1Pf5VJzqeEfmmRZ4CR8/Ax+u23LmEhWRsgFC0qK7KOKO2l5zITNbgdPCEHN4eOMvuQCQJ08qdRZhawZ53vtJy+cKYiswtNNcLmp0d0EUKo/3nrvQ+a/XpMW88dNgJ02R9EgWhQFUlffXM/8d+fTHG+GZBPMf3c+V5Zd6Uw2bNItbvtz0q/K3g/MTqgfTXTn5PU/Sd8FmdJYmZEyDZrytRuv+ZEQy6Z/jsFlPXz1jTLJ7IzYWx5Q2cGWTSBPP2alXDh4OyIHba0ac8qpnYK2o+E+8nlS0dizJYJBCZGXTNfH85w+aJJlA7tJ2+/gN6fhGXLBZseQXVRxOy1PazzOsabWduFrV85P2uLcsWobP5ymENDUw9Rm1Sq5fdjp53tJ5fO97ARetn4FJUX5XHNpb+au3e1YHzNy6ijqNzCp28o+dT+AGfJw42EioUg7wQKIhCIcbjzsTLLs4DEpOgn17lXlMOi69PLnd/c0ddqN17xwiJ7dovZ979DevknmFx8wYn6F83LnW+dzLJQUee9gU9UieS0a/MRkUnUMVyItATcG+ImNp/I9mxfU5r+doGL6M5dRZQ4JSoi8ZHo2ZFwjO2iSpYg0s5PPs668Qi447RhKwRxV3PwBNrXFSEi4e83v0j7yH9w4jAdf2UlL7JT2rCWWcA1oakc2vD54W6dyYTiVV/XtldX5XtaJIxd+Bdb6tMbj3D1mQMZzOXUUDRKY1InEHNkJP58YOMhpWVEZsUS6yS6WiFFWVKacBmA/KV6/hIbD+6mVx+hTVuEs1K2aMQVTp3m8FnOcCvERHyU+Zb/AcWlvZZJpTkMCX7gPht+ePcEKMBY6KwAy+IzJ5PHt+V6k+DB5q8bGs5Op2bpQpOBngWmVzV4EKgghUiVwmlx1PkLej2ikMLmqnHkTB9GWkO1nXb2+45DSuyVFp0IumJESVimkyITTM5Orytky51qWTf8c4VCItrjkREuM5jaDRNU1tjC5qpznZgznvDz7vFJkoyAaont+hIJoyHG1lMpv9der2TLn2jShY+tU3hpnwboaJvz0HWQiPTCeta5Ae7DFusYW3KCiVVNJJ1WfO0b3BwTL3z7AqMc3pfWjVx8ow2z2azlu/L/2HuO6G1IkJtIN8nsY/1+/BH759/7TMqG4oJiFX1hIQbiAomgRBeECFn5hoZoW6+RROLT9VH5Dpxl+UzNeg/H/QOwX3yO8+kt8Zs2VLP7BIl7fcYiSonwq+/byFuyFpVD++fRAqaa8UuN1at6v2ZJ/H2vy/oFf5d1HyR/WZZbRpb2VSKY1jXizoc1SgOsYDDgWcjEWzYTAKivMz9R+3MS8iYMy5IJdTCazy0OQ/GxhHQcB6mI35lTa0G+Z3dJ0S8tNnpqh/O2YnleV6RqdC63J8oGgZ12loLpjqDmWvnuqORbPWJH07BYlLxyixWHb8eCyniSkc/RfPxGLnVZAVu1eytepscX+nDNrXf2sHIP4arnhZ5v30xJLtLefuR9z5iiajfO0dWWfI0fsCf0ncGXZld6O32Z4hDKQP59IJN5Md2E8vphnufbVoYwa8KW0caPkcO6Q1+SB+dyQtwKRcrSPk+mn5tFGKZJp9clKK0vAdvYcgwHTzcVY9NIC251VOqSsp2NMJi+Xh44KbRA07aChXtzSdUvTK62O0ihpk+CZCa3J8oFsV5Wqqw1pIUfWv8H+I7c61HvlVVKUzx/rTjJp6TvcumJrhkZHBamV2cLJgynKT9ecWY7RSguoGmS1a7cKDJKOVz+m2q5PtJEr8/9In2hjsFWhh++Sp/bNvLK3SyvWCk3H7LUhVs2TCcUFxQwpHaKuwXLTwDR8QEKkr9XaCNMvdDTtu3jjwBuMf2U8d/z7HYx/ZTxvHLA5M94tr4YPEOFo+vNmPzVQcqCe0H8CG6dt5Llxz7Fx2sZMp/cATthKYzCgc3cuNBRuhMCu7IvW78mYpE9p0C8nJCCWwLGuQUMbjHp8k6cc8pJ7dlBpwyA+t05pns7dfHYaMFUtv0bHQGuyfMDPx+O0KvNabdR+3ES3aKTdZwuMreqpCcv8nsrq0i0vr+j0qqshJ6fyWHpTpQVUDbrazYWvlko/Tg6/yw3595MQEUIyhggvBdT9nwBXh17f2jdrWq1NQAJenpnp36Pg+6OkVQJvDUyvfoQsoRmixPkgUdrensoO5255OZGUvCKDTKb8eBQcqIsLit13U6bSCIVP7YJ00TYpjcEsgtSqaiicZI6bFtjPeYJmlwfrKRPWaPFuoXCC+kzZpa2ykaiusYV+JYWusQmDOJy7BQM9U3bz+ZUz+uid3EOTLB9Q/Xi8BrabutiJAOw+dIybl/86I00Vh3o/qndIj06vuqvO2jYtsTihkEhz4DcL41yt9oKk49mPSY2KiDXRrpsLGojSxqE3MLlNpXVkJ/zLLcZhzHFTnKr+Y5K/u4d/8BUry0sDU1iKmLKU2Gt30xQTRIjzsPwGD914VXsdlB3O3fKyIymfuxWevTqTTFra2zeGTjM0ab/4npH2Lx8ydkE6OKlXnN+N1rjCGMyibF4mJi+Z40QI/H4/qs/b5edURr8LJT8biezydIpPGJTMupXxdBIWv5sm9NE7HQNNsnwiqHbIT6gBKwGYN3EQizbscUxTZXVpBzuBaY1O76fstvHBTDAL4yCrPbtVlko6du+59mOuA1FadtRlRW4LS6FbLyOsQMwmTlXqd4eye2qVrCEGCkupn/A4h//zYcpkiOK21kwNzNBpRPqPIX54Px/IC3i4LP2cTeVdjV7aHjNJySsyCJYTmcxmJ+DJo8Ymg3jLqUCpLiT7nf1HiZu+o2hYOGtuLPG/cjEJ+wmUbPddzJukfqiw0/cGmUdvmfNzK2PQhZKX3Asii7Mls37S6mj4Ia/66J2OgyZZAeBXO+Q34KWVALilCXCsqc11Ja1qRnCKTu83TIKds6wd+fGz2nMTbm7puL3n2I8dHIgyW3JbH72QXrHWdIdKc/lcyu6qVdr3ZoaZ8Y3C85i/ZymR8gpiiTYWDv8uEy6z0egUltJrYCm9Th6Fht0gTmlqvBzO00yXXtqeFEk5tL3jIrL7INmpyclsGg8JI0il29hTPXFB5dsIYjLPcHafOIgh5enO7qqhEt7Zf5RRj29yrYtbGSv79lJacPmNO5WLsC/W/E8HEQlKxv2Q11y3lcYpaJKVY/gZ2H4IgJcJMZ5IEA0LCkyaEDcVfQpe0enNDrIdEQ1ZZbWnItzs0gksFLPwn1FBNuQ21Z83hO7k0dTZgcTTy+dSdketUqggw8xYv+5e5l9UTrPp2Jv525/gyk9fZ+/T5OIL5rSr0dF06dXWvfqln4MI/omwU2BQr00GHlrJvHCYmsPHHMce4Dku/WhM/GqC7L6LRRv2sGXOtcp+Uqkf1W/Mq4xeC64gcady7YB+OoiI34CnZvixFpxOZ/1zHZpkZQm/kYfN7wV19nQyIeZHYNn0yxlc1tOXAPTSPgU5UiOofT+XB5xmJRRzdcizA1TJrRnm/nyZK3mTQfRP1LH83i9T3NvUti5lLy4oZmHfCcw/8CoRIAYsvHgixU3HMrQ3h/PyiVg2IEdCEfbW7aVnfs90p3mFo4CsDueBjvlJ4cBbmA+gRkTdibCVULltDvCxycA5gKdw1T67jcsgiwO3o6usUPkuVL8d1edU5KLTgsutPdzIWRCXBDcEJSJBNVFBA56aoWot8DNvacd4f9AkKwv4jTxsRlBnTzcTYl44TM9ueVmRE2s+oHbgtBlBNUi5PuA0yHvpQiRL3x4P+DGtQmZ/1tODtlAxB1sKyaAkTn5JJ48y4VfPcmWihcORCGWxGMWHnoFBX8nQ3pS1thCz+I21xFu4f9P9RMPRdM1TAD+2wMf8pAhd3KTJCodPOf5bYSVU1y8xnNndzoZU2WRQ6Hwu3OCyHq5jL1dmriBHV6nG63ML+5D6Rvx8Y35i85mhEncq9RykH4eTSwf0IKQtG2dyLzcRNxmr4pxvRVBtooY7NMkKCFV1uhOCqPitgz8bQemWrrnsfrZ4pxCE3HXEAad+37MTIp21Q8hWwFm0Lyr96RmaIUmGimNNFLcapKE+P4/DH+2ibMLjFL8xp52MFN/wUxYWnscj7z5CSISIyziJRIIW2UJLwjAhtmueAvixeTrEO5nzbAldnj2hs9Ow/WKO8bwZ4SgNh/fzQUEk3Unda5NBwwdMHtiPUXOuzRgnbmMvF2Yuu29G5egqp+8C0p3XVbXa5oDEXseNlRR5n8VohVd7ZLOb2wlBQ/BY08jGh8ut3m4yVrV9vWR/LuvSlaFJVkB4rTL8qmdb4wnbc/QgmD+CXR7WZ7I5z8xNGxTkHS9iFnRF6mdbtlWIPPDSDsKhUJoJJpuVm5PgNl9v315uY84qGTrNtT+VQjNYyNAbhecxv7QHkd/9iJiMs/DGp5jQY8ApYnPgDeP8PkAmpJF2/BQxatc8lQ6x9QWLtYRoO/B7ouXlRIrTSZ+rQ7ybOc+N0FmJmZOGLZ7uzxWLtfLXqz6gMXQsva8Vz5EsSfaPGW5jLxdmLrtvJhwyzg695tLermPdGjfKyXldRau9Zc61zJs4iIXr97QfN9a9IOI4sQfZ8feDG43zWMMiRFymx93K9eSfK9KWrQ+X1ziwk7GFeeGcn9OYi7p0ZWiSFRB+41nZISXE1mz9E8ve2sfytw+wbPP+tHe8/BEG9enBjoMNVPXtxYBPdXfMI2gAQK8PPWhYhRRS7xfmhT2JWZAVqep7dkIkloBYwv7oHb9wEmq21wfmO/o3OfWnsn+Tyd+oPprH/NIeNIcExE4a72x/giunbaS4oLg9zZTWCqDNQjjSNE8WX7Bjb/2GI7eNRUQiyFiMPosfo+fEiWnv2zrEe/l3OW1MOPBWJjHrPyaTJCXi8NePGybDcBQZb+O7rV/nSFsRhpeaua9t8lIxNybhNvZS91IRuZVDjCRhJ4NOtsSZ/3oNc9futpU9duOt4vxunlp5cNZq1xw+rnzcWNDJ2uD5AgQgRdbpOSGXpC0XzuR+A56ebI17tkeQOmrH+ODQJCsg7AZ5Kt6M3w/UOEdPtsd7Mb+TC7WwnaD3I5ycPvSgYRVSsL5/0/AKXtpWmxMnVb+wEyJWWJ2TVbVqbsFH7a6PnnE+vVz8m+z605d/U5IMHf7gLSK/+1E7wQIQQrC3bi+jykfZppkfykciKWmO0OvjNr563YOZJK6wlFh9PUfmzkM2N6cUYRx5eC6FI0dmaLR6fALdjkii5UABav5dQ6fBhUPh0DYoHw7nlcCTQzKJz+zd9oRs6DS47AZo+ID36iSHX91KMceppwdg+RY66BxJ8LfD2G2TTTgkOJk8MzR1hqhV9jiNw+W3Dfd0xHdaCLXG4xz46ARhIdKuO8mSoH6Sc17dlXZOazYxtlJp2n2/uSRtQd0c7NKxe8dOxtY1tni2R5A65qouXRGaZGUBP/GsgvovOQkRVbWwE1QdW51s9UHDKri9/9K2WtejL1LvdYSPVKb5Nk5CQpvNjj+3iVF1d2Q4JNjh5O8mL6BXrv2bkjD7bJX1H0vsf36Qdr8p1sT9m+7n0VGPcmXZlRlpCiH45+hdxJ54ilA0Cv+8hGOLCzM0VG2HDhkaLPO7kQhthw6lkaxj69dzZO68dG3XmOrkjj4TWj9JD6FgNSd+8dvOxMdpt2VhKRx4i0tfv5fngEh+nAfb7mR94gvuE7Wq/5mTT1kSfjQKXpts3nrvQ+a/XtNOsEB9xyBIR1ngthBqaouRkPDEv/9vWr7m9631rf3YPfipHdxkpGqMLZW2hNxrbDo68rtVxqqQoaB1PBOi2J+N0CQrS1gHeUf4Lxnbs/eRFz4VA0tFLZyCH5OeqnYsqHO7FyE92Rp3PPYi290tXgTNKkS27D9q6xzsNDE6tZ2TWaf+ZKuNZiBBn7IK33G6vAJ+gr3P1sIvLOSRdx+hxRQLqyXRwvx357Nx2saMNBcNfpDE7UsQLa3IFsOvyaqhqm+u53DBccJt6URExmJEy0/1l6O2a/1LREIiTYOGjMFLtxmmPjtz3dtPGKYkMyzH/zg5xYtYE92T7/4wupztiWFpxwLZ+od59Y/C+ZGq35DKJhu7s0NVN8IMLuvp6AjvtBA6fKzZONImlqAtfqqjCvPCxKXMmNhVgp+a62v+Tr1k5Kljdo7/f/bePsyuqjwfvvf5mDPDzGSGmQhkZgJtfqniJDSppAWJYoxfmAypvV6KraI/9QKqAhVsIWKbK02jxfgFWuhlI7YW4fUtH9pAIlD7C1ESaGrAAMlgZV58gUywkMSEzJA5n+v945x9Zp991t7rWR97nz2ZdV9XGzmz917fz3Ov53nWswAwLBroQRAofWnaYqMa5qCKsBAR9zfVNqq0ZbanfbAkyyD6u3K4dNkQ7nj8xfpvly4bCp1YYYu68Xi203A8m2IWBuRcegA9XYPsbqhJyI4MS5+u1LHcUQmaV4jwhFVwXEpw8sn+rhzWjQzjr37YqAS//h+/xLqRYfzN/fvrFrNypYJdY4ewZql8nq6ghJ9AcMzWw5c8jG++85u49pFrcaI8bQVyXY3+b3Y8N44XQyxUXiJ37irgUz/KIpPNgZVK6F7/OfyichADU1VSGGjt+u+fI5NpbwpOR2Gi+i/vdGCmDbjgGuDRrwcTH0JQfFtbDg9eehZ6f2dw+h1efNh1+6r/xxsfQs4wgL6GKGSsvyuHW0aGcPvWn+CV1Ol4pdIldRBGZq5PFsro6ciiLZ1qcOF15tK4/r1vwoI3dDYQHUryUxeqh3xMbg6TYrHRISd+MsTr112cE7Gmyg8rd7alfbAkyyAOT+Rx954DDb/dvecAPvOuN4ZO0iDfetjxbMqOS9alR03XUDf71xKiUoLbm4Ts1lHy+4BerIQOQfMLqyDFGJZ8sr8rh8UDPfXcQN6/zz+1AymPBaZU8QVdS8b4+BN+usTiYOVEYMzW2f1ngzVQnUZXo/ebpcGqRcqLSrGI7OBgE5H7ydnA6G/l8P1zb8HP0+NYt/8ryPz7tBXtvYPnN32LlUrIvun3gMd97jgvOKcDUS4Cyz5R/T8e8eFZlhasaHL7pVkJvQOeU75h8VeD5/LHhxiz5a7h6++txlSVK80WIIBIxp65Bxf9+Bq8tyMDlIuYvOgWdHOUmQyBEJXbZIUtVXDTg882WNxlLoBWTToqs76pxDZu65MfJslJUP/sWrvSiNcg7NS0TfsAXzpnCy24wsQLb1qHMPR35bBkfm9T/ETYt9YsHcSutStx5+XnYdfalYH3hVHrQxFAW/aOY/mm7bjs9t3YuG0U60aGA8sX1WPxYE9o/WXrFgSdcfHDVYzt2RQ6c2m0ZVJYNzIsTD45dGoHyow1/R1w0JZOS9XtyNQR7Du0D0emjoRX9pl7qsHgd3wAA9/7Y5S8uZ4wTaRcV2N7uh1d2S60p9ubXI0uMn19mPfFL6CSy+L1HJDPALetAv796H9OB8p7cKIzhf/31Newbv9XMFWewkRxAlPlKax/bD1eOwWY98UvwGlvR6qrC057O+Z98QvIDP1OlQRlOqoXQftRKVVPB2Y6gNyc6r+u1apzbjP58VqW8q9V/91ydfVvbjn+77hQucdS4h3m/n82/V9+eOdcdy6D9myqkYx52pcqHEeqPIXuh6+r/h7wPddlf3ii6ib2ruvlm7bj/r3jwnKvWrEQuUz1b7lMCowx5EsMx/MlTBUruOG+p3F4Ii9tsfPCuxb8MpL6nlRfJgBecuLvSxXIyj+Z8nnzRrXckxXWkmUQskQgzBxrYsclWx+RdSzIIuW/88zfprB6UHeMVMsdrz9NjgtQJbfHp0rY8MB+ZNMpbNw6iu5cpvm06erhBgVBzQxeKJcD60bKhQU0uaz6AGx49QjWn/4GZFLZppitMFejH+V3vRXXfLoNc45U8EovcPyUMnY/th7/OvKvzcH3xdfBfnAlMmec3vC7a0VbvHo1Ot/6VhTHx+u5tEpHjqCINyH7sUeRcV4DXn4aePD6aeJSLgO57rq77khHDw5WpjAwdSQ0AWtgULz3lOIb3tT4bufcagzYg7UkrZWyMD6Oevfl9Kk5BtfEGLTTD03XInnakRcf5b+iK8yCxMsyv2R+L66660kcz0+Pv2xwuupGSva9pLgDg2A6LYVs/5iKFbRpH6qwJMsgeIrUr2hdUBLeBQkmqq+8vyuHS88dwh3/SY8RCxNAosUX1CZTwaRhdRMdhaeWTzGTH57IV/MClRkK5WnluGvtynqcw77xY02uUF6Arlu3z969F254S4WhFpfVWK7UXX8cxbuqUMH5y7+Cg91vaCJSpSNH0DE+jrMHB5ER3Bt4cOIgTnRn8Wr79M42k8rg9dLrnnsRWfVexENH8OYTUyiV5gCeXW2pNFU9EXnkSAPB4p82vBh48HMAaiSLFetxUT/K/w/WP/JJqQSsAKYtS6IA9WfuqefTQrlYtaD5AtgBDjEn3H0po0xD56WE5YynGDc8sB9tGb7Fwd0EhW20btsxhq1Xv40UnB4mt1TlBPU9latmWgHT5ES2X03FCkZxiGAmwpIsw/AKkyBFS/VVi3aRFF/53U/Ix4gFCSBR2oewNpnaPfLqRulPSvnUcREdKQeAD25+nHwCcfnCuUinUijV+rZYZtxypXJhBSjevtPOQZ9P4XOJjS8lgxeB6SJS7Vjsvxex1qYNh45g/dy+6UupjxxBetvDGNv45Xq5p934Obxy05eaTxve9XVkMm1AufFqmyOvPCOdgLWBTAHhAepea6CLh26s5tfy9GHgmgy6P7IGqjILm5cAcOA3GSx4381VF2GtfcffdzOeP5LBEMs3EKRHfvFKc06rdAqFcrMrm6fUw04FU26gEK170TpVve5mJgVgmyQnbn8tXzhXGOguWz5l/ibdahgHLMmKAO5EClK0lB0s76oV2UBCUTkii1hY8kP/4qMEzfuFrKmjvVSLgEjIU78jEi5B3wk6gbj5I8uaTmrxyqXmwgJAdlnJJA110dfehz9a+Ef4/n9/v/7bHy38I/SdONZ0L6KLVZOv4/wTU3XyNafchbG//RJYvlAv95Uv/h2QzTa852QyKE5mkOEQxoOZrHQC1gbL0vgT4W42ghtO91CFfz3dMjKE/mP7AGfa+hU0n+7a/SL+YcdY7d1e3DLyY5zfN4l7xlL46pZDaEvvrq9Rhmo6hkzKacppVWYM6y+m5a4Km/tL5vcqXQDN6xcVK3PQe7JjFGfKARN3JAZBh1iatDyqWg1PltQPlmRFhDCFLVLSQYtD1lcfVo5oAYqSH8rEXfFgcmcpU7apOLgw4SJ7AjEsGaQXlFxYDSC4rKhJQ704MnUEPxz7YcNvPxz7IT75xksBVsLBtrYGKxaQBlBGX6VSJ18njlXgZLP1XFsA4GSzqPByay1cBHQ0E8aBNwyLSac/bYNMUDvBDRe6Jp3jwhQc3vW04NcPovvhjze5LnnzqVAu47ZHxpAvTROHq7e8iHRqmqy7N0hcf+9TAJwGEg805rRas3QQFy06Q6jURHO/vyv8AmhVxalDZo25ZQl1lGlbFBdbe+uie7LPhOVRFTPJ8iiCPV0YEUTB3kEnXMJOdqgGsvvLARBYBiA+XdLf1XzKh1eWG4/mP5Vi6vSMe+cbANKJobCTMGH9xRMcyxfOxeaPnIvbPvyWppORQd8JOoG4aKAHt4wMYVn2Vzgz93pouauclhJQAAAgAElEQVQWrMLDlzyMb7/323j4koex6vQ/qFpkAk6ScU/beZAdHOSnURgMFmi8U4SZVAb3vPR/8L6hM3DFvNPwvvmD+FF3D7D8Ohxpa8O+tjYc8cRkZdd8HqzUaFFh5TJO/6vPN5827OurEsbr9gEf/bfqv+dcgr5yBRve/DG0p3P8U5Ge05W4eTHwzL3NfRN2ulD0dwSv8wW/fpBf9uShpvHq78phSV+p6u7zn4CcPNQwnzrb0mhLO/jE8t9GW7pRfJcqaCJSAJB2UkinGl2Enbk0NqxZ1DB3/evaXV/+dRl2qjlsbYvWXxh0TqqpuGVl5ZJs20zIwKDxAeI92cfTBzowfbqy1bCWrIgg2vEF7QBE8T6yvnqZJIPuzk7VzUiJRxO1kbpQZZPr6cTBUcr277KCvsMdv1/dH5rjyN/f9bxVQUHbgutcvHBTMrz8V3/dEJMVZMUC+G7LYrmIbz/zbeRZqR7gvv700zAxpwtfmTe3IRB+VTGFzJvOx7wv/lZTuT2rV2POe97TEAwPoLlNtbavSmdxPivh4MrPYWDpR6YJFiUh6OQhoO+3gT/7STXRKa+/BNbAIJdf98Mfby576jXg4c/zg+wFrsn6idato2jLpPBPu36FCj/jQxPKrNJwqTIAlCsM7zz7tMD1pmpJCHaVvyaIKwu3hOgEg1PdWqpyScVqpCsDReNjyrofhqjceaZPV7YalmRFCJHC5pljRYtDJTDUX46oDFU3o/ci2aAj4f1d+kd7VZLrySzcMDO5jEDlfadp/JzjwM21HEe1Z7ofvg4Yfg/QOTe4v4NIRP414KEARR6AHk4aBT+8pwD7+prdlpefczm+u/+7DdfzpFMZbPrl/41CyoF75836uX04/+Uj6Os9Cz2rz+WWm+nra6yDn0xedFPDtTp9APr+4ybgnA9PvyOKp+IR1MFz+QRVEMDeNKbH9jWXnUoDD30OKOf5pE/gmqyfaC1VUKjx20wKyGVSaEvz79oEgFzGwVcuWQIA5M2ZaI6r3P0HMEJcWfhNDDrB4JTNk6pcUiEFOjKQmmSa0l+qZDpKd97JlvrBkqyIIetXpywO1cBQahlBfwdo9/blyxU4vsSbJo/2xi3UZMsW7fAaxm+co5BrZOAw6w4Wpsc4JCKVrqY6CFLkaLwg2hvL1URsPOCdPly1enVDXi0AuP2Z2xveK5aLyKbaUKhMk4cMgIMrP1c/4RhWLoA6mSxN5FGcLCHbWUbGzVnlhT8vFI+0lPLV5KZBBDXM0sSBty/7u/qmx9QJIEzpturYeOp89OAYXmjPYOjUbvSHHFTgzbuObAa3ffgt6OnIYujUxrs2C+UKrn7nwvo1XADIsTNhcxwIlgFha3vRQA8prizMAqQb/yOSxapySUW26MhAqvyjbMhV4raizuSuqx+SBkuyYgbFxCq6QiLod9HE974rWoBy9/Y1uwL8UDnaayq5KKCXzNT792MnCvXcWLyyKZa+hu+HWDAOHGkWpumUUxWmfUGKPNukyF3yQU5k6kHY6cO+vsYrfPzWret//3p85WdfafxetgMDSz8SWmYDjr6AYy904OXHeuCkAFYB5l0whZ4zfbEl/rxQ3tOVjFXTPzgp4B/fAbz9s/KWJh9C+5J3stO1vnn7olTA++94AROpY7W58lasCbgPMWjOLxqYExyC4BwHjk6fVAwiGTIXMlMUPNVVftWKhdj80+eFp2q90AkGp0CFyKmSAlXSKCP/wvpL1S0XhzvvZEr9YElWjJAxsfIWR9j7ookflig0CFQ3I88V0J5NoVJhyGXSgUInTACYSi7qhWoyU//fK6zqqunIZhrKDiO6gSeuQjKKD7HmS8An82XsGz+GJfPPIilyl3xIJTL1QOb04Xt7z8e5Z9+CV3uAgflvRl97H7qyXQ1kZOOi69Hx3DhKgwi3YNVQYnPw8mM5sLIDVqv3y491oPNPb0DmsY2h6Snq2dy/9fbax2rk6dGvNd9gE2BpqlvHPG7EI+mUuC95sVy57vp4sXIRNxQux8vFLlQzh9XmytqV6B88t6kf+rtyWLd6uH7LgHsqMHBNiZKs1qByITP1BK5o4wZUE5mKvhU3/HXX3RjLlEV9x4SlR9W6H5c7z9s3MzmdgyVZMYFqYlW1VIVNfN2yXci4AgDgR3/+dkwWypEc1zYp1ETl8f6ey6Rw24ff0mBJkM2PtXzhXPT/6v7AjOL9XTmsGxnGX/1wX0N9N24bxUWLz0C/QJF7ycfBQ/uEOaV4rkTq6UOvSzFTKiH9xS8Aq1c3XNdz6qP7cPzjN+FFYtJTACj+ZgpOrh3s9Wny47S1o/iGC5EJsPo0oDABZHI+8tQGXPDnVbJFIKh+wnLw3TfS8nP5Y7k847V/shc/vmsMLsECwq0BW/aOY+O2atB7oVzNaxUYA0MJ+ofahcy6Ct6//rzfKpSr1q0kQXdjHAYd4mDC0qM6lnG782Z6OgdLsmICxcSqY6kKm/iURKHUiRx0h1qjsCzjqhULcWpnGxaeTlt4XoFjKrkoF5zAZlF5vL+3pVPo6cgSLX38/FgvHzyAfkFG8cUDPfXEji5ScLD/4Gu48I1v4Ctyzl18okSmQe6vTF8f5q1bi5f/9iY4mSxYudx0+lCU0LSvvQ9zXgfGNnxEKukpJg8hmzpUt2C5YMypkrzOvvDTk5OHgBNHgXJjYlSUi8Cyj1f/T0RQgSbCMrD9Syid2bg2ApPC1jA9v7vRP3gu5k3kUaz8suGZsNNfLhlysXHrKC5adAZ3k3TW1Bh6CXcZUmRKFLFRvG/dtftF3PbIc9j80+dx246xRCjSKGOPZIkD5UCTClTHUuY9HTIZdfxXHLAkKyaITKwmLttUTRQqM5FFSUqrwnIsUFjyFlzThbUjw9GYowNcKCqnLQtlepLSoPxYQ86rwoziQ6d2oOw7RPB6sYwr7tiDr1zCEcwBbQxLZBrqSnzu/6Dn2WvR+YEsisfKyL77k8isOK+xLQSXonTS01o7Muks5i0DXv7ZqXDacnUL2LG2Thx46Wiw4G7oh3LVepVpb3Yteg8EzDsbA5/eWc1cH5IVvs/JYMObP471z36XlBRWxSUnu+nwltFVOYpH2wqNwp1zl6FuWgSTSu4fdowhX2L1BKpURRpl+oGoYo9kiUPUlhzVsaS8p1v3kyGdgyVZMUFkYtWxVPnL4f2mU7YLinCoCstKPZhVdPR7+cK5Td/cuHUU61YPY+O2UaRTDoplhnUjw+JFFZYfKsSF0t81l3Ta8i/ueap+RL5cqXAvcZbJj9U7kBNmFHfLvv7ep5AvTVOUfKnSLJgFbiKv687rEgy8E/HVUfTVvpdxTiDTC2DP14Cf3wZ84LZ6Tq5s6hAYL1P7qe1VktJ7ltDt2OCqLFca2tEzH+icV0Jxzd3ILlyEbS+ewNpN24MFN68f0A788b8A8363aW5wrXidtbiogIMJq87+IM5f9Kfck5peqLjkmjYdq8M3Hf4yjqMLNzhX4Gttt8MJiVmjyJQ4YmFUFWnU6QdUSKhp8mbKktOKmCYTdT8Z0jlYkhUjwkysOpaqOMoG1NxqoqPfmz9yLvedxYM9DYG+G7eOojuXCRaiokBfQrLHsL5dvnAuvEmzSxXN/Fju3wn3C65ZOojeU7L45J1P4nWP27BJMBPu2qsnMvUg0JVYKjZ/D6ie1POkPOBam/5sBJnvvr3ersxFN2HeX3wCL3/1O9XrdDxJT5tIzps/hlW+cjOdGWQGT8Hhtk6svW93uODm9UOmDejoaepb4YGAkDsg+2r9GQZZlxxPMW3cNop1I8F3C/LK+LHzduy/9ONY3HmUfK2P7GEQHlSUOd9SXBaSmajTD8jGHkVB3kxYcloV02Si7nHHf0UBS7JiRpCJtZWTiVq2ThLToAUHONx33ISmhTKrp0wIFKKUQF/CPXTu2LjXVXgVxYHfnEBbOl13Z7j1P/Ab2h113u83gHC/IAAsGuhBxec2rPe9a8Fr6xK2kYdAV+Jp5zR/z4Uv5UHd2vTebyPbWULmwT8DSlPT47H1WvS0daHz4gqK565F9h0fRaYvwFX57D/jfFZCA33hpLXow2sYcl7F0dS8RsFNGGsXgVY8bxC7aIxCLKiyO/GgdbJ4oCfwRoOgMuYNDAFd/4tbjhe8ealCYlSVuSt/Pnv3XrjZHCoMXEuxi7jSD1A3tlGRt6Cx7WxLN8ko3XqZhikr1ExP50AmWY7jpAHsATDOGBtxHGcpgG8BaEf1iMynGWP/xXnvOgCXo3po+hkAH2eMTZmo/MkG0WTS2ZGI3uUdr/YvYpFwEP09KM8P753JQpkuDAkWnDCLBKWfggTGgl8/CPzLdVIZ1gGfe0yQUdzt23Ujw9jwwCiyaQflCqtfydNgwXvLR4Anv9ccvF1z2wWVE+RKrKaXuIEfPO5LeZBpryDzk08AqUyVYPlRmEAmA2T2fwl472UAgkhOtpqw9D9uahorN63FxanH8OXsZhSRRhZllH79TWD+n1Y/QBxrQHwgoI6gMRJYUGU3T2GKKc4NmiwZ0VXmyxfORTqVQqnW9mKZhb4fZ/oBSuxRVOSNN7aXLhvCyK07SXqglTFNJuel6RjAOCFjyfoMgGcBzKn995cBbGCMPeg4zqraf6/wvuA4ziCAPwcwzBg74TjO3QD+BMB3Nes940A1owdNJh0hRn3XLTuMkFUvRl4GgGHRQA/ZLRa24HjvHJ5ozhEVKAyplguBRULUT/76B95Rt2BFKGlSSQq6Ze94zV3koFiqYP3Fi7Dmd3L1K3nq5T/5vca7+J5/pHpBMYEENrkSn7mnll6irRo8nkoB2Y7qd975V8D2jY0fcIlVWXCRq4cAB5KcpR+pXpPjG6v+rhxuGRnCO360GR1OAfXZ4LmKCEDoWPtTVQQdCKgjyFJFTJUgsxNXVUymd/umLHBUZV61FKfIiUlV+ykqj0FU5A1oHNvOtjRGbt1J1gOtjmlSnZczOS+WHySS5TjOEIDVAL4I4LO1nxmmCVcPgIMhZXQ4jlMEcErIcyctTPjEdYSYqUDLwISannfdhcG7QzBswfkFjpQwlLBchN1DJ+on0h11nKPyXqgkBeUe4d82itX9p/KP6hcmpu/ho1ySLCIQLpxsNXj8N/9f9fqZ2n2EyHRUU7HDqcZreZE9BSi+3vibhwALSY6/TkdfwEX9x1DJ5YCCx7rG63fOWAcRXK4VDwi3VFEsqDXI7MST4B4xaYGjQOV9lZsxRO+pIupwD3f+UNLxqNQrSlIja4Wa6Xmx/KBasm4BcAOAbs9v1wJ42HGcrwJIAbjA/xJjbLz29xcBnADw74yxf9er8syCKZ+4jhAzEWjJuzqHemmsC9mF7ArD/Qdfg2s5CwQxtikMlH5qEBhBd9SFxECRYoB8CCR/7A3oDStf5ZLkMAKRaQPAqgTL+zurAP/7fuCODzTWJd0OfPCu6rceurEax+Um/vSMTyjJceGta6mAlP/6JkLsmYjgNpUrIqkSsV+ySIJiisMCp/s+r58ofRGF+0mWvJk6JKBDRoFkkZqTIS+WHynRA47jjAB4hTH2hO9PnwJwHWNsPoDrAHyH8+6pAP4QwG8DGADQ6TjOZQHlXOk4zh7Hcfa8+uqrks1ILlwF6YX3xB0VrhBqz6bQncugPZsiCzGZd4MTarLAdngXxvF8CVPFanqBwxPTbqMte8exfNN2XHb7bizftB337x0ntXvn2CFc+b09uOqun4vf65xbteAoECxAoY9dC1qmA8jNqf4bZEGrgRwD5EFoYHNY+WEkwEsg8q9V/91ydfX3oHdLBQBO8+XMmVz1t7f47iQ896PAwpXVpJ8X/d303YoP3Qg8c2/Do33tfVg8dzEAYN+hfTgydWT6j/66lqeqkdGZdnK/Ax6C6616jeBy4RJNL1ySCsiP/+Shamyc28ciEJ+nrD9V9HflsGR+L3lTtGvtStx5+XnYtXaltKLWfR/Q7wv30Itq31H7S1UequqBoHpR+yusX3T7zAtT+jJJoFiylgNYU4u7agcwx3GcOwFcjGqcFgDcA+B2zrvvBvArxtirAOA4zg9QtXjd6X+QMbYZwGYAWLZsmf9msRmLsJ2HqmXHdAoHL4J2lLyrc0QnB10TNuXamiCTf9y7Guk+lrSgkWKAfAjd5bvlv/w0AAbMWzL9YpgblZNks8HK5b77g08CzCVblerfecStrasaD+bFk98D3rG2+r8f+nw1VsuN1+LELgXGqvGsam0dwB9/F+jorfc771ogL6QJbu9ZYOWi6xSdbqvXUkUdf+JdgirPJylhY6sDlHX6Ii6Ljq5cM+nulE106+8X033W6hiyKCAkWYyxGwHcCACO46wA8JeMscscx3kWwDsA7ACwEsBznNdfBHC+4zinoOoufBeqJxRnDYIUpCi+Kex7LjGhHOHlvRsEl+wsXziXe1xc9uSguzDCFnJYP7RKeTT0U1iCUxeE04FekNxjPoQK1ucfCVbIQSSAa6nKV8mSiwUrgHQaKNWeKxeqVqiLbvLct1gA3v5Z4Nh4MGlz/3dI7FKoKy/IIjdvSf19ymECWYK75bk8flK4HF90/hElpNGRYcjwLFWi8ScGyKs+b0IxJSHQ2ITCpvQFr61xbuhM5Y8yUS9Rf4X1C8DPfajTZ1HHtrUCOnmyrgDwDcdxMgCmAFwJAI7jDAC4nTG2ijG223GcewE8iWqah5+jZq2aTeClR1i+abvy5Ixix0X5puqlsWG5XnSvEgoEhRyJnpG1PkiAGwMkAFewUhQyjwR4rVyMVV1wTgr4x3dMt/PoC9WThd50DI5T7a/r9gF7/gn46deAx/6+5kr0xUmVCtNWH0HsUmis2tzFoQcbZA4TUAnutHJ5K3ZgEYacV/Fq5XRs/e2L0c99Y/q9JrIiESCv8ryuYkpCTI4pkiPqi6C2xrmhS5K1RtRfogTTKn0mIvRJOPhhElIkizG2A1XLFRhjOwGcy3nmIIBVnv9eD2C9TiVPBngVpOwJES+i2HHJJtKTXRjuQr7+3qeQdlIoM1ouLGXlQSFHomdkrQ/uO5KB99oWBFkF7oV7mfS33l79b387eRak4uvA9/8UeP+XgEe/XiVn7olCJws4GYC5LrkK8PyOajmC059CV16IW458mKA2Pn29Z1WJWwi8yuUI5uAIm4PuVAb7D76Gno6sXACxbIC8QkC9zlF5XXliwgpmkuQE9UVYW+MkPiK5FrdVUec2ENk+oxL6VrudTcJmfG8BdBZ0FDsunW/6BULQ89UgO6d66p9Vo1wo/cAVAIp3FDakLRA9I0teFKxeRiwIuifcChPVwHVvbiu3nYPn1sjRVY3WrPIU8ODa5qDwbK7qPnTJTrkw3a+C2CWSKy/ALUeKtZIcH97cPFEs4Yo79qAt3Txe4WRFIsWI206Z52tQUUy68sSUFcw0yeH1RVhbl8zvbSI+60aG6xabuE4itsqqGDR3RIRQZhN8Mp4cpMCSrBZAx7wfxY5L9ZtUgeAuLm+iwRvuexq71q4k9UODANC8o5D8jAx5UbB6yQic0J2tokKuI+gUodvOcy4BOk4F/vUjQHFy+hm3LC/KRSCda8wOn85Wg/I7eqrfHGwyftcR6MoTWAiFBE1hfPq7qklPb9/6E7ySOh3/U+5EhSHw8nMhWZFNMWIgJQkFOvLEpNI0EYsjsgCJ2uolPvvGjzXdFWma7PiJjW5/RmUBC7N0yVhQk3RAI05YktUCHJ7I46z+Tmy9+m2YLJSlg9dNBwaqfFNGIIQtLik3h6E7CknPyJAXBZddcD6yY+jpaKv3BYnI6ijkoFOErpsPqAaYM1+8VaUMvH+TJwC+OB0Q70XpRNW9mGkjWZC4WecJFqjQWCsVl+oz9+CiH1+D93ZkgHIR/738Jly6axDFMufuSmr8oOQBCe7zCi7pMOjIE9NKUycWh5obS9RW939/cPPjgcHelHsMVdqQ5JORYVZSqgU1SbFoccKSrJjBWwy87OhhiCIwUPabMgJBtLjIbg5TdxRSCRSHvHAFqILLjtcnU6VyzR2VrrorVg9j47ZR2s5WVoF7sWBF8ylCL3kN6q9zLgHefHGj0s91e54rVK/jYZ64LZ4FSfPaGheBhwlkx8dTrpux5+z/+jy6Kt/AcUyfvvTP4chPRUV0EENVnkShNFVcnjIbPkpbg2TbXbtfxD/sGAslMjpkR7U/k+aGCyKZJ+PJQQosyYoRKoshbMKanpwy36Qc/fXW28jiIijLwxN5HOh9N+Zf+QT6ir8O3vFTrT8e8hIoQBVcdv4+KZQrKFcqyJeBfKlqLdnwwH60ZfiJ+YzuonmnCP3kNai/3P5xE2cuWFE9eXj0BeDEUeCejwH5YvB3DV1bEwrZ8eGU66Sz2LSyB1duZ4FzONJTUSoHMSSgIk9k1zV1bsrOYVkLkKitPNlWKJdx2yNjyJeCZbcu2VGVk0lyw4lI5sl2cpACS7JihOxiSMLR6iCECYSgeussrqrgzWDB+25G98PXcZUlt9zBEAUkYf0RClAFl523T46dKOKqu57E8bzHHZVOoVBuzMsbtrNVmS+HJ/J4ebIXi0RJN4Hg/goiSpOHwklxRNfWcJW0zPgElHvhHyzDrt/vDp3DkZ2KMkU4DYO6rqlzU2UORxE075dtV61YiM0/fT70AmsTZEdFTupYwEySHSrJPJlODlJgSVaMkFkMSTMB88ATCKJ68+ouWuyNgrcXt4z8GBcNFRqUZdT9RRKgkqTNbfOS+b04PJFvmhtlxrD+4uGmANygPpRtv7df38Mux5ez30bGGzvFaUtTVnURUfrDW8G2XI2Kk0GKleB4vysiDgoWwlAlTRyfw6wbE2/7Ms7ceQMcX7n90DtppqzYTBJOwxApTercVF3DUbiheLkNb9sx1vCMX3abInuyJESl/VFs4JNkUUsSLMmKETKLYaZMWL9AMG2t4wnea7cewK61K9HfqV6uLEzuloPazJsba5YO4qJFZwgVpWz7/f36A7wVj7Nz8OCfnIXegYVcMsLNqp47PZQobSm/FV/KfwNnpQ7hhcpc3Fh+K9a4z1GIg4QFiqSkBYHj02NzOroq38CmlT248A+WGbEWaSk204QzAgQROurc1FnDIguQCtn0yzZK0HyrYo5kLGBRbUhna2C7CJZkxQzqYpipE9a0tY4qePlxFBUcO1HE4Ym8tqDzCtB0ykGxzLBuZNhokG5YRn1RObLzhdevE6levNB+Nno7mw9iBGZVX/V99AUQpem2duHlWsB4w/jyiMNFNzVewOz+KyI5k4dw+Jf7cVpqAi/ilPrPDXNFEDjuH5vj6MKV2xl2/X53aJZ3CowoNtOEM+RdWUISRuioc1NX5gWtE1NkkyK7WxlzRLWARbUhna2B7SKkxI9YmEZ/l/imdnfCyt623mrI1Ntd7F54r2wA6ILXX2427aBcqeCqu56UuuU+DGuWDmLd6mEUSxVkUw42bh0Vftd/Q72ozUFzQ3TTfVi/896VVWj1rOoeZFIZHKxMVclKpgPIzan+W7OwUMYX51xSDZT/6L8B7/u7agqIOz4A3LwYeOZebl2a8Mw9wM2LsfChD+NhfBojqcea2+R1a+Zfq/675erq7zVQ6isahyCQ+oKCzrnVXGMC0qla3pa941i+aTsuu303ed14Cd3xfAlTxQpuuO/peh9RZUIUMk9UN1lQZbfomVbCxAY+aB2sWTqIXWtX4s7Lz8OutSsTE0PcSlhLVoIRtitKwoWuQTBprZPZHbnl7j94DFfcsQf5MuqB5KqnOP3PbNw2ikKZoVAuC7/L20EvXzg3sqsoeP0e9K7srjM0q/o5i7kWFrIwdwnDP69uju0645xqVvogy40v3UKHA3wluxlPYyleqXRNt2l8nzBwXFTfsHHQTYRpej2rKFJV6xfFMkKVCaYtQSpu9Ljkqk5ZOu/qWpxE8sh0YHuSdR0FlmQlHLwJG1WshcnJTFlo1MUuI3j7u3Lo6WhDWzpdT4UAmDnFKSOwgxSWN8t92nFQLFfzYYURO2rQsDeQnvKuTL8Ks6p3zsVh1o0DR05giOXr408W5rwgeLDqvYqZXHBeKM57uVwOt190GvrfeP50WYT4r7D6hvXlzrFDWokwo1jPKopU1Y0kY22myBWTSlqGbMYZw6ZTlol6ejekgINFA3NI78V9ICvJJ+ypsCRrhiGqSd6qyUxV9EGCl0cMozrFOXRqR92CJfquKMv98akSNmwdRVsmhY3bRtHdnlEmdkFjR3k3UKFxAsTDsqoH1YFM5LjX+9Tydrn3KvLyQnHeS1VKeOObFgGegxHUwPGg+oZl6NdJhBml0pK1Cqm6kZIci0OtW5zkQTdezlQ9KZsDP+I8kDUTTthTYEnWDEMUk9zEZNY1X6vU3YQrTKY/d44dQsWTtiqTQuB3wxRW3e1YqqBQM7aFETuRmylo7JRjL0ICxHlZ1SlpO7yxYdw54idBpTwAZzpTPICyk8Hxg2Po/R2F7P0AOXCcNx+D+hJwtBJhylpHdU/IiZ5VJUs6br6o3UE6Wd6jIA86ZZmqp6rMj/NA1kw5YS+CJVkthKxwOTyRx7ETBbI1hQrdydwKK5gpVxhVaLjlFT3JQdOpVP0+Mz/CFNZTLx0l97dI8YWN3ZL5vfJKUyGzuI61rQFeEtTWBfzjOxr+XCjk8f47XsCN/9f8xnd95Okw68aBMDJHyZXlW5tB47BoYI6W0qHOv7jWmA5ZUtksmWgXRY6K6hYnedApy1Q9VWV+nFbLmXrC3g9LsloEWeHifb7CqlaUjmzGyCTXmcxRmHQpQlPLFeYBVWjwymtLhwulIIUV1N+dbWmupSdM8YnGzn335YMHMOS8it4BwZgoZBbXsbaFkqBaItOJIpBBGdcXr8TLlS7+u7X3quvkZ+Hripwri+b65M0fAMFWOw8o8y9ut4nJmKgwmGiXKfIZJ3nQKctUPXVkflxpKpLshpaBJVktgKxw4T2fy6Rw22aeKXsAACAASURBVIffgkUDc7Qnnc5kNm3SpQpNU8eQD/zmBJYvnItda1dqnQ4LAk9h8fr70mVDGLl1p/SJHcrY9f/qfvRTLxZWyCyuY20LnSPnXIL9ud/DF+56CL/M9+EI5oS+S1pXkrmy/N/gjYNf6ewcO4Tlm7aTFb9IaZlYY1FcoaL7Pd12mSaf3nHobEtjslA2kmNPVBavD8P61wTJ0SUwcRHxk+GuQ0uyWgBZ4RJkRenpyBqbdKqT2aRJV0Zo6goJlR3wVSsW4tZHxtCW1t9V+QX6yK07lZVF6NjJuv9EV+F44bEI6Vjb/N/yljVvYAh7Kwsa5r7KYYP+rhypL3TcKG7cmerVMLou7SCYdjWa+p5uu6KI2envyikFhKuWxasnpX9VSI6fuCWBwJhw9SYdlmS1ADzhUiiXcexEgbtziss3rTKZTZp0ZYUmVUj4F7KsIvQKPYDhygsX4EPnnRlodaQKLbe/ZWK0RN9qgoL7L/QqHBcci1D/OZeoWdtCrEv+d7sqR7FpZQ/6neMAJNcJoS9EBxZMuLFlobPGTFt7TH5PV3ZEIRdbfaJNxctBkTdhh4RMtktG/p0M6RkosCSrBfALlxPFEioMuOqunwe6ipLsmza1I1IRmiIhwVvIZ/V3Sp3o8gu923aM4UPnnUkqiyI0lJWFILYIgLT7T3gVjltuiEWIJ2gD5wjBuuS+O/Gz/wdn7loL5z+zwK5mV59wnWjkyqJaN6LaEKmuMdOkz/T3dAPtTcvFVp9okymfKm9UiKPpq5VM1GmmwpKsFmE6Gdxr1ezkpQqK5eDs5Ekw7YYhjOxQF6xpoRm0kLde/TayIqQKPWWhMXkI/cdewC0jQ7h26wF6uwWxRXV4UhxUUhmgXMTk+25Gt8ZJwTCL0Jbn8oGCljtHiJa2fuc4+netFbo91ywdxNsGgEMHxjB3aCH6TvMI+aY0EQXg7X/R1Af+tQYAyzdtbxjb6+99Gr2ntDXFREa5IVKxOpgmfarfC5MBOtYU03JRpX0m491kTztT5I0scVTZLMrKPx0yO9MywFuS1UL0d+XQ05FFWzqFfIl2nH8mTCovZBesSaEZtJAnC2WyIqQKPSWh4SFKF5WL+Nmam/H8Ge9vaDdXoMjGWZ1zCR58/U34ztaf4JXU6Xjl/i58OTuubokJsAgdyZ4hTzSpljaq2/OZe9C35Rr0BZFPN93Dnn8CHv0a8Ng3q/9yrGJunXnu3Hypgk9+7wlUwJrmdJI2RCqkT0SIZL8XtVvIpFyUbZ/ptlHLl5E3MsQxyquVVOvkxUx0MVqS1WLITraZxOKjCAKWQVjfLpnfS840TxF60kKDQ5S6H74OS657Tz1TeaBAkYyzOjyRx3VbD2Cq+Nu1Xyr6Bwre/tkqOUm31cnMS3m6G9at14HfZLDgfTej++HrwpOJUsiYDPl89OvVjPJuVnnOc+5a62xLN40tALxeDL6/kjuHKe7dCCBD+ihKTOZ7M9EtJBPrGUXbKOXLyBsZ4qhqYZKVf6rkf6bNJcCSrJZDZrLNNBbf6vgGt2+vv/cppJ0Uyqyxb6lkjiL0pIWGgCiFChTJOCsZl6cwpYXXTckAXPDnwLKPA51zMTSRJwvaxrnci1tGfoyLhgrBBISS2Z1KPgOeO3pwDC+0Z+ppGLxr7dJlQ7h7zwGkHAevFxqTAZPmNNW9GxEoc132dC9l7bRaBqiC0r4o2yYqX1bemE7OrFsfmTq5mKlzyZKsBIAy2aJm8VFYyEzmslKtVzU/uwM4AJgj/b4LitCVEhoCohQqUOZLXCUD2jiQCDzPUvTo16okC3xBe8vIEPqP7QOcafLEm8vXbj2AXWtXor8zpM9E1+JQySfnuVKpgPff8QImUsdQKFdQrlRQqqBev7v3HMDWq9+Gg8dO1GIopzP/C+e0QhZ9HqK2YkehxOI6Ge1CpY9U+zXutvkhS1IoMkwnplDFTS7jtWh1f6vCkqyEQDTZomTxUVnIdIOAdevlKnNvvFvU5mWy0BBYZoQC5ZxLgDPOAcb3AIPLgDe8iVuMq0DWrR7Gxm2j3HEgE3iCpcgraBf8+kF0P/zxJuuN8lwWuduo9xj6nmPlIm4oXI6Xi10AStyi3Vi+C994Gr5yyZJA6ygXCmk0/KCsBSpZCHouCiWmKwNkoCIvdGRMnG0Lq4Pp8uK+Wknm263ubxVYkjVDEBWLj9pCprpgTdRLRZlTFJUxiwLHMuP9tmpuKRd+BbJuZBiLB3qa6k3uJ6KlqL8rV81j9S/Xca03Q6d2y89lqruNeAm097n9k7348V1jCCJY/vpJW0cVsuh7QVkLVLIQ9lxUSszUQYCwdaeapkBXxrTikEMcMipKsqSDJB0qocKSrBmCqARgHH5ulQVrol6yxJSiqIKeUbYieO7q432bGxtFcD/xFMjGraNVl5xk0P50nbvRz7EUcS9kDrHe9A+eKzeXVbLWUyxEtefmTeRRrPyy4U+ZlIOUA+Qy6Yb6KVlHqRa2AIjWApUsUJ6LSonpKm3R2lSRF6ZkX5yEREdGhUHXChonkkoAg2BJ1gxCFAKw1X7uqFwXFDeZ/3mRAgp65vhUqakMWStC0Ld3rV2JJfN7Gz9EcD/JKJAwAt9c57dizXX76paiLc/lsZZ3T5/AerPmd3K48KOn4gB7A+YNDEXubguDt/0AMFWsIO0AcNCU3V9ZMVMtbByI1gK1TtTnTCgxk8qYsjZV5EWrZZ8sdGRU2CbAhBWUV9dWk7GkwJKsGQbTLL6Vfu6oXBdUN5kXFAXEeyadcrDhgf0olJmWFUHmBODLk71YVC6iwVHlcz/JKhAegQ+s89qV6B88t/b3nwW0KcR6U3P99aaz6KWctNN0t1GwZukghufNwapvPgoAyJerTkF/dn8txUy1sPkgWgvUOlGeM6EcTcd4UtaGirxodYyPbF/ryKhHfvEK3nn2acpuVhnyNtNOwUcNS7IShlbsAFoVVxCF60LGTeYFRQFxnykzZNMpFMrTx/pVrAiyJwDfwy7Hl7PfRibTxnU/BSkQoJpc08SRaa5AdzwCnWe9UTlpJ+luU11Dk4Uycpk0CuXp2CwTytwEwtYCtU6i50woxyhiPKkkUkVetCrGR6WvVWXUZL6M9ffvx19v2afsZpXZBM7EXFZRwpKsBKGVO4C4/dxRuS5U3TkURcV7Zt3IMDZuHW34looVQVS+X3j9AG/F4+wcPPgnZ6F3YCGXcPgVyM6xQ1jOc+2BP/eWL5zbVGfvReZcgV4o428e4Aj0oy9M/8tz/b38NNDRE+xKI7rbdNaQsjJ3jgPjT0SeZDRsLQRZIv3kIYhUmFKOOnFOQeRYhtiqyLG4ZZ9OkmYZGZVOOZjMVzd/kwV+4lyTVlBg5uayihKWZCUEOkIuUf5vYlbrqOIhdL5L2dXynunOZbStCKLyecJrItWLF9rPRm+nL2bLV64oOBpAYDyYt868i8zrAt1x6oJ8Ij8t0N9Z/GljNveLbmp2/ZVOAN//U8BrlQu6hzFkTukSBSVlbijJqIk17CULIle8vwxTylF1/YnI8Uw8VRYEnb6WkVGP/OIVrL9/f31d8soxZQV1MdPi3OKAJVkJgerCS5T/W0LhROV20f0uZVfrf4aqAKiZ43m/6wqvsPnl/m/e30QXme9auxK71q7EI794BX/zwP46wQKA01IT6HzoWqA8NW25eujGKtF66MbaPCkA5TLApqrPAUqJOiltpChoKWVuKMmo6TWsQjZNKUeKRVbViqZrcUrKZlS3r6ky6p1nn4a/3rJPWI5p+aUjf5MyRiZhSVZCoLLwEuX/VlA4Ue1OTX+XsvC9FqOwmCcZReEvlyK8VE9rilyZYReZL5nfyxXop1X+p0akpqZ/TGeBeb8LuCcUTxwF7vkYkC82PuN1LxLdcEFt3Dd+DB/c/DiZxJDHyMCpxyjWsMqGzeSmJ2j9BZHJOFxMUW1GVUhBXHF9UbhZKc+pyt9EGQwMwpKshEBl4SXK/62ocEzFQ/iFnanvyix8k0Ii6FthwkvntKbX7VcsV7Bu9bAUSeN9//KRdyD14y80Nsw9Fei6/iYP8U8OvvwU8M+rpdxw3Ji5WgoPComRVpgGTj2aXMNhF1pTLCUmNyf+9Tf2P8dx/T1PcU/hmkrXElTnqDajOus9LvenTjJonbrJyt9EGQwMw5KsBEF2QSTK/x3DMfsgRLlLpS58k0JC9C1VRRI2v9YsHcTxqRI2bB1FWyaFjdtG0d2eaUi0Kso5tmbpIN42ABw6MIa5QwvRd9ogcIrgVCDv5KDrTlRww/nbSCUxSnNIM8koYG4N++vvXmgtaykxtTnx1+36e59GocwafvdaQk2la+GNWxSbURPrPYq+NlFOKyxKiTIYGIYlWQmDzILw7tzTKQfFMsO6keHWTEoDCkcFUe6AZBa+SSGh8i3d05qHJ/LYuG0UhVIFhVoGA16i1dCcY8/cg74t16DPb31asCLc7ed/RtMN528jJTeU8hzSSDLq1lXXdcSrv3uh9WShTNqwUaxBKn9361YoVZre8Y6DqXQtvHGLYjN6spKCVlmUEmUwMAxLsmY46haIB/Yjm05h49ZRdOcyxnYeUmZjTYWjgiiFnczCNykkVL4VRWB82nGwYWuVeHFzjnlPkgLhMXmeucCdU/6Tg4asohQSoz2HFJOMutB1HQXVf7JQbr4tgAOR5ULn77y6AUBb2uGmH5Bpu8zGwnQM1MlKClpFHuOKU2sFLMma4ahbIMqsnhDT1M5D2YUSA7lyEaWwkw0cNSUkVL6lWz4/0WoFbZlU3bIFeATur+5vPEn69r8gWZ9Ic4poFT0ydQQHJw5ioGsAfe19gW0TkZjI5hAxnQmg5zrSqb/IcqH7d17d2jIp/Oiat2Hh6d1K7VVpt+kYqJlOCqK6zkwHJ1OaDi8syZrhiGrnMVMCEWWFnWxAp8zCNxlkGlf2am/ZQUHjXhQrFczPTTZbrX76VTTe84Mm65PUnBJYRX/0/I+w/rH1yKQyKFVK2HDBBqxasCqwnV4SwzskoXNykwtD+bMo5eoofJH80P17UN10CZZKu8OIrEqg90wlBVFdZ2YCccWpxQlLsmY4ZHceVGEyk2IOqMJONaBTNk4OQD03k+g92aSRJuvKK3vX2pWNiVbbmxOt9hV/3Wy1yrQBF1wDPPr1QOuT9JzqnIvDrBsHjpzAEMvXnzkydQTrH1uPqfIUUEvLtf6x9Th/4PxQi1ZQm9csHdQ6udkEQ/mzZMoNq3/YmhfJD92/i+qmCxPf1gn0bgUp0Dn5F9V1ZhbBsCRrhkNm5yEjTJISc0AVKCJhp2qZkxVosjfVt8paGFT2rrUrG+J4uAJ3MsePmVr2ier/BVifZOdUUF8enDiITCpTJ1gAkEllcHDiYCjJopzaDArqlhonA/mzZMr1zlF/DJZoPorkh+7fveXIWlZlNjaq62WmWOxd6J780z0gYyEPS7JOAlB2HrLCpNVmY8DsUWIVy5xs+bJ93EprYVDZ+w8eQ09HW8M8ahK4opipACLBm1PrVg9zrX5hfTnQNYBSpdTw7VKlhIGuAaU2i/pb+j1D6Uwo5YbNUep8FMkP798729KYLJRxeGLasmjK8qG73lUI2kyy2JsghEnZPMeFJGSQtyTrJIFo56EiTFppNja9w1Rxq8qWL9vHMnUyLSx4ZU+Vyrjijj1oS6fFSk7xJKl3Tu0bP9aUdyvsVNp0XqU+bLhgQ1NMlshVqKpgpN8zlM5EVK5ojsrMR5H86O/KYefYIaOubS9017sqQYuTdOiuYROEMMrNcxIIjRdJySBvSdYsgaowaZXZ2PQOU1a4qJQv28fUOqkKizCh5y+7UK6gXKkgXwbypem7CUOVXMhJUlHZAPDBzY9LnUrz9uWqBatw/sD5pNOFQW3293dQnZUUk4CEUq9qCitXNEdNEoio3Wo6612nbnFZ7E0ofFPjGcXmOSmExkWS3MCWZM0SJMH9J4ModpgywkWlfJU+FtVJVVhQhJ637GMnirjqridxPD/thuMqOUJaAhNZuCl92dfeF06uOHWVvVeP11dkxRRAQmUUUli5ojkq454VIWq3ms56163b8oVzsfkjywAwLBroMS4TTSl8kzLc5OY5KkKjYxlLkhuYTLIcx0kD2ANgnDE24jjOUgDfAtAOoATg04yx/+K81wvgdgCLATAAn2CMPW6i8hZymEmnRqIihVTholq+yikvb538z4QJCwCB5VCFnlv24Yk8CmWBkiOkJTCZhVtrvobU1T8HqHU2oZhUFFJQuZQ5SnXPihC1W01nvevULQ4LjEmFn0QZHgWh0R2XJMWeyViyPgPgWQBzav/9ZQAbGGMPOo6zqvbfKzjvfQPAQ4yxSxzHaQNwikZ9LTRh2v0XpR++1QJFtXxeH1OEBu+Z5QvncoXFvvFj+ODmx6XjmYLasHPsEMqecrL+jNzEtAQyp5dkT6WR55pkCoU4d72qZQW1nTJHKe5ZEaLY9PjbpLPeVOqma4GhzkfTCr9VIRxBMN0+U/dCJsVzQyJZjuMMAVgN4IsAPlv7mWGacPUAOMh5bw6ACwF8DAAYYwUABa0aW2jDFDGKYxdo2qwd5/Fwb7kioRGWUiEoSahqPFNQ/bzXy6WcqhulDmJaApmyZZSq1FwT1NU/D+Lc9aqURUnDIJqjJoikO177D74G17WmiqA2qa43FYKm0ycy8zEpCl9G/sk8a7p9pjY9rd6ku6Basm4BcAMAb5reawE87DjOVwGkAFzAeW8BgFcB/LPjOEsAPAHgM4yxSf+DjuNcCeBKADjzzDPJDbCQgyliZGK3EedplCgIocnErmHP+IWFiXgmb91532tLpxuFGjEtgazApShV6bkWUtegeaClJCSvz5G9ocBEvEsYuZNZh2EnDKmIKoZHlqCpkmuV+usqfF1ZKSP/VGSlSUJjctOTBKufkGQ5jjMC4BXG2BOO46zw/OlTAK5jjN3nOM6lAL4D4N2c778FwDWMsd2O43wDwOcArPOXwxjbDGAzACxbtoypNMYiHCaFm+5uI87TKFEIddOJXSlBzN666sQz+eu+bmRYLNQk0hJQgvlNWxwav8mv62HWjbX3/Yw7D5SVhML1OTJlUdeZ6tU7MqTJ1DpKSlCyqgVGtf48hU9ZCybyh1HHTfekponxS4rlzxQolqzlANbU4q7aAcxxHOdOABejGqcFAPegGtzuxwEABxhju2v/fS+qJMuiBTAp3HR2G3EfrzUt1KNI7CojWFTimcLqvnHrKNatHsbfbt2PtJNCmQWULZEbK0jgqigM0Vzjf7O5rgdeOiq0AErFRWlcn0NVSJR1pnr1DgAs37Q99uS5cblnKQRGhVybym9HGTcTslJm3JJCgJPi6jMBIclijN0I4EYAqFmy/pIxdpnjOM8CeAeAHQBWAniO8+6vHcd5yXGcNzHG/hvAuwCM+p+ziAc65nH/ZNfZbcS9kE0LdZX684SGTuAv9VnqacXDkwUATvWSZ+a/6dmDkNxYIqgqjLC5Fv7NucrxYn5wFeIbOHc4KlyfEwbROlMh/O7vTwlIpx+m1lEclgrZmCmZsqn1N5GN34SslBm3JJ3KS4KrzwR08mRdAeAbjuNkAEyhFk/lOM4AgNsZY6tqz10D4K7aycLnAXxco0wLDagItzBBobrbMJ0kUVS+SEnHVX+v0DAR+Ct6lnpasVAu47ZHxpD3RL5HYVnUcX0FzTXeN1OOg/0Hj+HCN57WUL5/HhTKFVy1YqGw3kEK8W3X/C76DFyfI0LYOtNRwrLz2CQ5itJSEYelXDe/HXXcTMjKKKzkFnRIkSzG2A5ULVdgjO0EcC7nmYMAVnn+ey+AZTqVtDAHGeFGEVYquw1TC1k3qaNqrINu/VWUgCwZlDmteNWKhdj80+cbSJaKZVFUR13XF2+u8b75eqF6PdBXLlkSmID1rt0v4rZHnsPmnz6P23aMhY59kEJ8Kd+JPsXrc6jjGXb5c1D7qUpYZR6bjLeLylIRl6U8rP6iOlDHzZSsjMJK7kI1KD9p1/BEBZvxfRaCKtyiFFYmTtvoJHWUDQalWlaCnvdCtl9VyKDMaUUAuG3HWMP7+XIFnW3p0DJk62ja9eX95vX3Pt1AEvMlFvruP+wYQ77ESFcIhSrE+fJ3OFLH00SfiqCyDoPkh6i+cSnjJLi8KAdZqONmyupn0kruQnWjmrRreKKEJVkWgYhaWOnsZHUJIPV9WcsKRXjIBs6quD5kTyu6Ah8ApooVOIxh5NadJEUpU8coXF9rlg6i95Q2fPJ7T+D1Yln4rmw5QoXIiVMLIgbUvgp6bnjeHEwWymTCT6mTCYuSqF1xKuMkuLwodZAhT3HGJ8lYWVVkU5LuFYwDlmRZBCIJwioIugSQ8r6sMJC5noXar/LpC9QOJqxZOojheXOw6puPAgDyZQaUGUlRqpAWVXeiv7/ddi8amIMKWOi77vOdbWnpuWMqcSq1r3jPsQrDqr/fiVyaRvipdRKBonTD2gUgdmWchNNp1Gz8SZCnLmTmieqmKCknGOOCJVkWoUiCsOJBlwBS3pcVBjLPU/t16NQOFMrlht/E6QvEBxN4inOyUEYuk0ah3HxJNBCsKFtx6ozX7rB3/c9fumwId+85IDV3KApRRAyofcV7Ll9mABgKJTnCoUNWqEo3rF28dZF2HDzyi1fwzrNPU45rEiEJBEamDmFkNo74Jdl5orruk+DOjROWZFkIkQRhxYMuARS9LysMVE5rieq8c+wQKh4DTSYFYvqC4IMJQYpTVlG6Cm/J/F4yORIpC8qYhgX171q7kuTOvHvPAWy9+m1NrjcRdOPtqETS/1y+VEYq5WCqyP9uWL1UyYrsReNh7fLPq8lCGX/zwH789ZZ9SsTNBOIMvBaVFUZm44pfMu5GD0CSPSRRwJIsi8QjTEDpEsCw92WFgYrwEO1e1973NIrlaZaVTqXqdwqKXDQqMUEyitKr8CjkiKosRGMqInxUkjFZKHNP7AXBVLwddXPgfa6zLY2RW3dyvyuqlypZkVW6Qe3yzqu042CyULXMTuSr/6oSNx3EGXhNORAQtCYBNVerClTmiepGV2eDPNNOJVqSZZFotPoUiqwwMHnpMU/JtaXFx8D3jR/DBzc/rhQT5MZm7X3pKJbO78XC06vXlVIUXhg50j3N6UXUFkad+stYqkLnUu0+xP7es9A/v6psed8FxEpYlayo9FtQu9x18cgvXsHfPLC/TrAANeKmgzgDrylliTZLccYvXbViIW595Dm0pdNG3eim3mu1PlCBJVkWiUVSTqHICgMTsTuA2jHwdSPD2Lh1VDkmKIrks4CZ05wu4rAwqtYfMEAMAu5D5H2XmrVdNVWDSUtSf1cO7zz7NPz1ln0Nv6sSN1WYCrzWPRBAXedxxC951x3g4MoLF+BD552ZKEtRUvSBLCzJskgsTuZTKJS2UZScX3nqxATpJJ81YX0ylQqCB9kkvP7nooi3c61VDfm1BPch+r8rUy8VskKNkaOOQxLicUxYNk0cCHAh6pOo+4u37m7bMYYPnXemsTJMYKbqA0uyLBILqjCciRmHqW0LUnL+unvrrxoTpCrETFmfohaiFJIRdt2RqeB+AIHWKhx9Qeo+xDhIS1i/qbhvWn1iWbfPTB4IcBHWJ7obBNFzUa47kzJ2pp5KtCTLIrGgCKikZhwWCRcZQe9XcqIEqWGWqiBiBqgJMZPWJ5nyVcZPNCaithgL7g+zVvWeVSVdXgjuQ1QlLboKUCfOTtaqZnpDFIfrW7assD7R2SCInls3MhwJeTEtY5NgBVWBJVkWypARfKpCUpTrKYkZh6nCReUeOEomcNV7Gvu7cli3ehgbHtiPbDqFMmNCIaZy7Fs3dkpl/Cjtp7pwg8og1yvMWjV4btWqJXkfoixpMaEATcbZRV1XHlRjvUweCAiCqbtKKTcJbNw6inWrh7Fx26gZK61EfWTRaiuoCizJslCCjODTFZJBAkrVzB21eVxGuAS1TSa7OgCs+uajyGXSDc+KiJm/Tlv2jmPjtlG0ZVIolBnWXzwsHCfTJnyKEJUdP2r7ddsiqperoObnzkBfmLXqHPp9iCqbF1MK0HScXZR1NYmoLSqm7yqluOQXD/Zwc8yp1itKGatKjluFVKsrYDHz4BV8x/MlTBUruOG+p3F4Iq/1rCxUlWKUvn1XuHjhPY5NQVif8eo+VaygUGaB/Uupk7fMiXwZhVIFG7eOCsfJVTjt2RS6cxm0Z1NKCufwRB5PvXQUhyfy6O/KcfNduZAdP+qY6LYlrF5b9o5j+abtuOz23bjg75/GnqV/C2Q6gNyc6r9+a1Xn3KpVK4Rgeb+5fNN23L93nFRPE3MUoPWXblmm6sqDd87JYs3SQexauxJ3Xn4edq1daSzUQFVeUtdE2HNh6062XjM1fioKWEuWhTRkdikmdzS8uI5WZBwOsx6YEC5hfebPrp4vVy9zznsSlnqV0IHf0O7q0xknXRO+7M5ddvxkxkT2KiJKvYDmXFaX7Z6Px655An3FXwutVTzoWHhMKkDTtyZEWVcvTLggTVtUDk/k8cgvXkEm5TT8TlmH1DWhKvtUwgJmYvxUFLAky0IaMoLPlJAMEopxZxwWCWcTwkXUZ9xM4B6SVaw0JyQV3dVHdf0E9RdP4VBcWapkQWb8ZMeE15agcfe3USaX1cGjU+jrDKx2KHRIsWkFaCLOLq66AtG7IFVcuO788mbEdxEmL71lUU8iq8g+FTk+E+OnooAlWRbSkBF8JoSkSCiq7ihVglEpwllXuFD6zFt3SkJS0V19ojJld/7U53XJQtSkGgge9+NTpaZgYTcWTkRg38MexaK7/3dzCgcidDcvcSrAqO8YlUWU8UKqp17d+eVFZy6NciX48ElYuhHKM9SYOLffVb0Gs5VcubAky0IJMoJPV0gmJQmdTD10hQuvz4J2yNSEpKK7+sJ2wjI7f5nnTVg6qZYDd0zcWBzqqy9tewAAIABJREFUXOT1ZzrlYMMD+1EoM+lcSV2Vo/hy9ttwSlPchKOidrm/U0+EifojDuiWRXmfOg+ickGqWMiCXISdbWlsuHgR3nn2acprTNdixyNoouB4Fcy0uwhlYUmWhTJkBKeOkE1KEGWUwpknZLx9RnFTet+l1pOSv0iW5MqSUR1LZ1QWNi+4415myKZTKJTl7+A7a+oXyNzbBpSnph/wJRwNqicvx9HigZ5YFFSSlaHMuEYVLyS7TsJchGXGAgkWtSydzWkQQdu1dqXUpeoizMS7CGVhSZZF4hFXEKXJBKJUUISMSloISj1NXg2i87xOMs2oLGzu80GuEtclS20j4CHCkwtDE46G5ULj5TjatXZl5KQnycpQxWIThbtUZt6rughlytLZFMbhPUhieo4oYEmWRUtB3R3LCkXZXbepBKIyoAoZFYFHSXRq+moQ1edVLSRRWtgorpLuXIaUOLWpbZ1zQxOOBtVzL+Ey6CisTaaVoek6qhKCIOu6av1k5j2vziIXoUxZdZdybTMguymMw3uQlDCQqGFJlkXLoHJ03yRhcmEqgagsqEKGJ/AK5TKOnSjU80rxEFZPWQEX1YXM1LEycWkz9Xmqq0TUxtC2hSQcDarn0vm9ofWPytpkUhlGUUeThEC3ftR5z6tzmIuQN/+DympyKa8exuJBOZdyHN6DpISBRA2bjNSiJYgqSanKd6NMeBgGqpBxBZ6b9DGTAioMuOqun0sloVQp218Pb7JCUTJH//N+UMcqKOmmv19EyUOpz8vMh6A2ktoWkHA0qJ4LT+8OrH8Sk/76EVUdZedB1PUTzXv3mUuXDTX8dumyocDYraCks7w16W/Dxm2jTQdZKElYVRKuyiR4NTVuSYe1ZFm0BFGZilW+G3dAuwuZ3aK7a91/8DVcccce5EsVFMslAGqum7gDznmgjJWJS5u9oDxvYj7ozu+gegb9rlueKAeaCatGlO4hE2581fqpXm10954DDb/dvecAPvOuNzZ8Q9bKLmpDVN4DQE0mzIZcWpZkWbQEUREbVQtNKwLaAfmkmj0dWbSlU8iX9BVVXAHnvPcP/MZcJnpZ963o+aD5AICc+sHE/A6qJ+93nfIoc9WEMozaPaTrxlepn+pmg0roRM/5CV5YG6IMNNf5tqnwi6TCkiwLo5DJWRSFz1/1u1QlEkUWcxkho6IIZDO1i6BjkfArJROZ6CmQtTb458POsUNYvmm7lAUg7mtFrlqxELc+Moa2NL082QMQOvVvRZ/IQLZ+OqdVqfM67LkgghfUhqCbB8LWLXXdzJYgdhVYkmVhDLK7uqhMxarfFSmROLKYU+ooowiSFGjMU0q6megpEPWBKE9ZHFf/6MDbPoDhygsX4EPnnUkqL27l2Gr3kIg0yNRP97QqZV6HWVWD5mRQG2TXrYzsmC1B7CqwJMvCCFQVkYjY6BynNinA485iHgYZq5uue4DX/6rEJ0gpUTPR7z94DICDRQNzSHV36x/WBxRFokNEvPMwrvQKt+0Yw4fOO5P0flzKkZf0Nm5QSQO1fiZOq1IyqMvch+nOSV4bZNZtVLn5ZiMsybIwgih2xHEkQIzCHB6HwKEoAmpguUoKgrgumXWxc+yQ8dgXINgaYNplmdT0CrKKV4UkJiGRaRTxSNS+Cxsj0SlEb1km5iR13arMq1ZbKZMKS7IsjMD0jjiObMBRmsN1gspNCSlRncPaT+l/WYuEVymlUw6KZYZ1I8NG44Zk+oCqSHRJc5Rz2cS6o8xVVaJksu06ayMqt2hcp1Vd6F7YDNDWrWqdW2WlTDJsniwLI3AVETXniSifStS5q2Rz4si2z32HulMFwvPhqCCszqL2R9X/a5YOYt3qYRRLFWRTDjZuHRW2U6Uu7vwCENgHQYqksy3dNDdVcgbp1J8KlXkZ9J2guaqTP8pU23XXRpRuUdE6NzVG/j4AEDgnKfmqwp4xVWfZck9GWEuWhTGYzPKtIxQpO14dc/j+g68BYFg00COsCxVRWTtU8yqZPsXofWbjtlEUyqx+ubKonSYCdnmxLzwL1aXnDmHk1p3cuam6S09KjJ4XMlYhHSuQibarrg1/G3WtkToWZl1XmsyFzRT5GlfaDj+S4DqOG5ZkWRgFJZCdIjBVhWJUlx67UI0NEiHqE4mywfmy/R/lyUsTAbs8ZQQ0KpLOtjRGbt1pnOgmJUbPhayi0yFKJtquMmeC2qhCGkwRAx1XGrUPKPI1qrQdIiI6Wy6E9sOSLItYISMwVS6FjurSY9nvyyLuI9CU9vv7H+An44zj5GWUAbuuIlHJIySCq3iWL5xLOkkWNVTmsOxa8StbXYuI7JwRtVGm/KQQA2ofUOZ/qw4pzdZcWpZkWcQKWYEpIxRlF7Gs+y9J+a9MgKL83P4PE6JxnbyMMmA37F03RmsmnqrzQ3UO64YCUCzcQd+WnTMm12kriYGKu5My/1t1SGm25tKyJMsiVkRJJlQWsYz7T+b7KjEcJmIgZMulEBeREI3r5CUFuiSuKUZrWXCMVhiSYgHxQ2cOmwoF8MN0fJBJZR4FIaG0QdXdSZn/puPT4jqlO1NhSZZF7IhKyaq4NaJIuKdjwdCJ22hVLiYV4RnUThmSGPRs0PyifNtUjFZSXSNRzmGVNkcRH2RSmZv8FrVPZd2dKu5Zk/FpyxfOJRPR2ZhLy5Isi5ZAh0yEIaprMajfb5UFI4pyZS5y1iE2LmQUu+hZ//yS+bZsjBavjUl2jUQ1h1Xa3Mr8VXF+S6ZPZfpExj0ra5mktmHX2pVSRDQq2Z9UWJJlcdKBuoijSLjXKguG6XJlL3IG9IiNjBJSuZg3KtIQpuSS7Brxj5VXAavOJZU2R52/StUFpvMtHmT6lNonMvPahJU7rA2z0UJFhSVZFrMWUSjCVlkwTGeVlr3ImfKNMGIjo4RkSUBUpEHUxpmiePwKeN3qYeW5JNvmJJDROA4oyKxPap+YTOtgog2zzUJFhSVZFicdZFxUphWhltKYPAQcfQHoPQvonBtfuT4ECW/RRc6UbwQRGxklJEsodQho2PygtDHpioengDduG8W6kWFs3DqqNJdk26yzBnWThMbl3pddnyav6zFl5U4CIZ6JsCTL4qSCyq7UtCJUUhrP3ANsuQZIZ4FyEfjDW4FzLom+XA5MWMVk0yHICHBZYa+rHILmR5LjrqgIUsCLB3pizeulsgajdoHpxjJSD2QEQdQn1Hltcp7OFOtskuAwxlpdhyYsW7aM7dmzp9XVsJhhODyRx/JN2zFVnBYo7dkUdq1dGRir04rdcxMmDwE3LwZKnvvcMh3AdfukLVqmcP/e8SbhLavA/N/gxXX5v2nidKGp5ykw0U+txOGJPM77u/9AyaODMylg9+ffnWgFKrvWo/6Oi1bkRqPM67t2v4AND4wim3ZQrrCmekWxNmYbHMd5gjG2zP+7tWRZnDQwcSpHhEiE6NEXqhYsL8lKZ6u/t4hkmdixqqRDkLFoyFo/TFosk5bJPQwiBeo4DgDm++9kI24XGPVezlacLBbN6y17x2uuXwfFUgXrL17UILNamTR3NpA7S7IsThpEcSrHxHtC9J5VdRF6US5Wf28hTJAS9xtRXFnTKiQxk3sQRHU98JsTaM+kUSyX6r+1Z9KB45IUpajiAlN140V5L2fU8MosFxu3jeKixWegvyvX0qS5M2kd6SDV6gpYWJiCuyttz6bQncugPZsKPZXjhSsMw6D6nhCdc6sxWJkOIDen+u8f3toyK1YUOBnil4BGpXU8X8JUsYIb7nsahyfy8VRg8hAw/kT1XwEodeWNS6FcwbETxaY2bdk7juWbtuOy23dj+abtuH/vOKkOT7101Hj/UNc6te79XTksmd/LtWBRxzuJc1wksyKTaTUEjX/L11GMIFuyHMdJA9gDYJwxNuI4zlIA3wLQDqAE4NOMsf+ivKtfbQsLPkyeyjH1HgnnXAIsWME9XRiX9SDKcuI8mRRlO1pqrZA8HEE9/egdl6lSGeVKBVfd9WSDdUHF4hG1pYLq0tax1siMdxJP34lklqxMM5VcOIlWv6gg4y78DIBnAcyp/feXAWxgjD3oOM6q2n+vIL5rYREZTJ3KMfUeGZ1zm6xXcZnU4yjHH6M1WSjj8ETeqFCNuh0ts1ZMHqoSrNKJ6di9LVdXiXmAxZNa1+mL0o/hijv2IF8Gjuer7kOXjMgqxThTI5gkSn7Ijncc6Shkn1u3ehgbt/HTccjINJPJhZNo9YsKJJLlOM4QgNUAvgjgs7WfGaZJUw+AgxLvWli0FKrCMM4jzHEpKpUM6qrt7+/KSV3KHWU7VNAya4XC4QjZtBg9HW1oS6eRL03HZ7lkRFYpJslSoaPQVcY7ynQUqs+tGxnG4oEe7pqlyDTTyYWTaPWLClRL1i0AbgDQ7fntWgAPO47zVVRjuy6QeLcJjuNcCeBKADjzzDOJ1bKwUIdqYLfJU2phiEtRxXEq00WURCiu/mpJriDFwxEydQ0jI7JK0WRgOhkByXx1FXrU401dEzrPbdw6GpqWQiTTokguPFtybglJluM4IwBeYYw94TjOCs+fPgXgOsbYfY7jXArgOwDeTXy3CYyxzQA2A9U8WVKtsLA4CRGXST3qU5leREmE4nRBxEW063APR2y5ujEmi3A4glpXERnxK0UA3MSylG/5oe3mFcSr6Sp0ah+KiCLv79Q1Yfo5GciuLer4x76OWgCKJWs5gDW1uKt2AHMcx7kTwMWoxloBwD0Abqe+yxi7TL/qFhbqSMpR9DD4BVWhXMFVKxYqfSusvVSBaEJ4R0mE+rtyWLd6GBse2I9sOoUyYyeXCyLkcIQpiMiIqxQppCiOwHQA5Hg1U0QpCKI+Cfo7dU2YeE61bSrWwNliqRJBKuN7zRr1l7XThc8C+BRjbIfjOO8C8GXG2LmUd0Xl2IzvFlGCoiCSRMIOT+Rx1+4Xcdsjz6EtnZbe6VOtBJRduIns2FFlSXfbmUk5KJQZ1l88jA+fJ841lqSxngkwnSX9qZeO4rLbd9eD7QGgO5fBnZefR7src/wJ4I4PAPnXpn/LzQE++m/AYKBK4kLVoibqE9HfqWtC5zkGaMdC2rUSjCgyvl8B4BuO42QATKEWT+U4zgCA2xljqzS+bWERCSi75iQmyfuHHWPIl1g9KJm605exEkR1KtOPKHa43KSLW0dx0aIzQr+fxLFOOky7o7Stm4aS+UaZ6kH0d+qaUH0OQJ3k6cRCzgb3nmlIkSzG2A4AO2r/eyeApm0CY+wggCaC5X3XwqJVEAm7VmZAVq1zVO/yYIogmRbWKu1M4ljPBJh2+WqTd414NS+iTPVA6TOZ2DnZ506mGxdmGuy1OhazCiJhpyNoozKlyyg1fx2iiIGSIUhxuRdU2pmkNAMzCVEcv6emEQj8u4F4tShTPbQ6ZcFsykuVNFiSZTGrIBJ2qsIoSrcTVUAH1aFVwj1OV5yKErOKRx1RuHzDyDtpLnGS+bqgkP2gOQQEn6L0Yjqp62sAGBYN9HD/3oqYplaTvNkMqcD3uGAD3y2iRpjQlQ3MNh0IHFTG/oPHADhYNDCn6buUwNs4hXscfRJUrkw7owrCtzAH3bkkS/a9c0g2cW7SY/xs4Hp0iCLw3cJixiJs1yy741S5ckRG0FEENyXDsoxQ1RXGJlxxKnWQbac9Zp586LrwZePu3DmkchNC0mP8bOB6/LAky8KCAxlhJON2UtlVUwS3SdeXid04rz6FcgXHThRJ9xXG7Wq0iie50JnbcR4asTF+FjykWl0BC4tW4vBEHk+9dBSHJ/LK33DjHdqzKXTnMmjPprjxDl7CdDxfwlSxghvue7peNq8uruD2whXcKnUQQVRHKvz1yaYdlCsVXHXXk1i+aTvu3zseeR2ihom5M9MRRx/ozG0dgib7ro3xs+DBWrIsZi1kb5UPcylR3E5hO92g2A8ZwW3C9WVyNz4dCHwMV9yxB/ky6gkndS6XjRJUF2XSY2/iQJx9oDq3dQK+Zd+1weUWPFiSZTErIRM/QVUmIrdTEGHqbEuH1iVMcPtJga7rS3Y3LiIl/V059HS0oS2dridSBfQvlw2CTiyZTGb8pMfeRI0o+oAylyjf9n9HZ/Mh+66N8bPww5Isi1kJqrXEpDIJIkyThbJSNugoLAkyu3Fq+VFdLqtaHx5kxlnG0kYlfXGe+jJRlmlro6m5HPQdEUET3e0p0yYb42fhhSVZFrMSVMUfR8b0wxN56WzQUVpTqIkhZa7rifpyWd3+kBln6tyhEgddgiFDmkyRGZPxRzJjF9ZW1TlgXb8WUcIGvlvMSlCDaaPKmL5kfm+9LJXAXmpAvKk66pa/Zukgdq1diTsvPw+71q4kKTFRHXTq44fMOFPGixq8rxvkv2XvOJZv2o7Lbt8d64ECUwctAPrYidqqMgdmyiELi5kLa8mymLWgWEviCmaVtdy0+iSTSvlum1ylZ7IPdftDdpxF40W1jMWZAyqp91hSxo7SVnu1kkUSYUmWxawGJX4irmBWb10oQcCmyJ+oLN7fVcpPwtVDYZAd57C5Q1X4ceaAivMeSxkXJmXsKG1VmQOt3qxYnPyw1+pYWCQMJlNL6JYl+rtMYLeJa3ZUCGGrQL2yR/VqH5U+jeMaIVUyLYq3orY16DtBv9urlSxMIOhaHUuyLCwMwYSCj/POP8p9h6bq8tRLR3HZ7bvrebIAoDuXwZ2Xn4cl83tJ30hagDJlvKM+XahCEKIkolHOXx0yZGqzYGERBHt3oYVFhDBFAOKMERGVZbIuum6ZpOWmMpU7TRcqruwoY+NU5gyV4Ki67Slzx6ZdsIgKlmRZzHro7mJNEoA4Y0REZZmsi27MlEnCl6TxBvQJuixBiNIiKDtnZC1MKmTIBrdbtBKWZFnMaphQOLpC3K9I4rqaQ1SW6broHCAwRfiSMN5emMoRFUV5KpCZM6K6JDGnl4WFLCzJspi1MKVwdIR4kCKJ62oOUVmm66LqljFB+JIw3n5QCVuS3dGq19iE1QVA5DctWCuWRRywJMti1sKUwlEV4iKlH5cSEJWVlHgVXcLX6vHmwVSOKO+zYf1j2qqjeo2NqC6isZK16tk7BS1aBUuyLGYtTCocFSFuY0XkoUP4Wj3ePJjKEQXQrF2m86vpWJtEdQkaK1WrXlI2CxazC5ZkWcxamHYjyApxGysSL1o93kEQETbT1i5TBNHEJiGoLkFjBZhxI9qUDRZxwZIsi1mNVroRbKyIWVAUJ3W841bCYYTNpLVLVJ5Mu01tEoLqwhurp146qk3skpZvzeLkhiVZFrMerXQj2FgRM5BRnKLxTqISNmHtEkG23XFsEvxjRbXqhWWOT1K+NYuTH5ZkWVi0GDZWRA8mFafpb5kkz7rWLlFdVdod9yZB1E4RUbRxkBZxw5IsCwuLGQ2TitPUt1phDeMRHirR02l33JuEIGJHIYo2DtIibliSZWFhMaNhUnGa+FYrXVJewiND9MLaHXd8GqU8HrGjEEUbB2kRNyzJsrCwmNGQVZxhStyEEk6CS0qW6AW1e+fYIaMWORGB0rEAUgmyjYO0iBOWZFlYWMx4UBUnRYnrKuEkuKRUiJ6/3QCwfNP22O5ojDrvlv9ZS64s4oAlWRYWFicFRIpTRonrKGHTCT/jvOvR224T6RJcUPo+yrxbFhatgiVZFhYWMx4UMmLKjWcyH1cYVFxn3rrpEr2472iMOu+WhUUrYEmWhYXFjAaVjMSdS0pH2au4znh127V2pTLRM2mRo/S9DUq3OBnhMMZaXYcmLFu2jO3Zs6fV1bCwsEg4Dk/k63FDLtqzKexau5KrnO/fO96gxNetHsbiwR4SCZEtSwdPvXQUl92+G8fzpfpv3bkM7rz8PCyZ3xtr3fyWO1UXpr/vgwiqvfLGYibCcZwnGGPL/L9bS5aFhcWMhawL0OvG2zd+DBu3jZLdcXGeGpS1ukVZN9W0EH5QXaiqFkBLziySiFSrK2BhYWGhChUXYH9XDkOndmDjtlFMFSs4ni9hqljBDfc9jcMTeaNlHZ7I46mXjoZ+l/fOgd+cwLqRYbRnU+jOZdCeTYW6zuI40eh1YVL7zI/+rhyWzO81ToK27B3H8k3bcdntu7F803bcv3ec9J7K+FhYyMBasiwsLGYsVON4VCw/smWpWH3871DdmXHEM6n0WRzWJdXUD0m8o9Li5IMlWRYWFjMaKif5VC0/1LJUFD/vnY3bRslxVVGnL5DtM1kSo0rIVMmfvSjaIg5Yd6GFhcWMh6wbyrX88NxxJlxIruL3wlX8Jt/xQ6YfZNsZ1me8b8u4FlXdfYAaYTbR1xYWFFhLloWFxawEz/Ijsr6YTBfht9zEmSle1VVGtZbJWJfizPTuIglZ+S1mByzJsrCwmLXwnmQTKXvZjPFhij+I5PjfWbd6uG5dMeXGMkFqRM/JkJhWZHq3Obks4oIlWRYWFhYQK3uddBFexR9GcnRSTFBjmuJIRSFDYlqV6d1ewWMRByzJsrCwsIBY2aumi/ArbxHJcZ//4ObHydYmGfefSVdZGLGTyYvVKquSvYLHImpYkmVhYWEBsbLn/V3FnUchOVHGNJkiNRRiRyUxulYlm4jUIqmwJMvCwsKiBpGy13HnuaCQnKhjmkyQGtMpEFStSjbflUWSYUmWhYWFhQciZa/izvNDRHLiiGnScZXFecVQGGy+K4ukw5IsCwsLixDwXFFUkhHmxhKRHBlr01UrFuLWR55DWzodS0xTK1Ig6IyDhUWrQCZZjuOkAewBMM4YG3EcZymAbwFoB1AC8GnG2H/53pkP4A4AZwCoANjMGPuGqcpbWFhYRIkgVxSFZJhwY4mImLcMwMGVFy7Ah847M3KCEXewus44WFi0Eg5jjPag43wWwDIAc2ok698B3MwYe9BxnFUAbmCMrfC9Mw/APMbYk47jdAN4AsAHGGOjYWUtW7aM7dmzR6E5FhYWFmZweCKP5Zu2Y6o4rcTbs6n6NTf37x1vIhkuiRK9K1sPnjXLZBmqiOtuQtVxsLCIC47jPMEYW+b/nWTJchxnCMBqAF8E8NnazwzAnNr/7gFw0P8eY+xlAC/X/vdxx3GeBTAIIJRkWVhYWLQaIldUmDvPlBsrzBqWBFdZHCkQdMbBwqLVoLoLbwFwA4Buz2/XAnjYcZyvonoH4gVhH3Ac57cA/B6A3dK1tLCwsIgZFFdUEMkw4cYSBXW30lUWZ8oEnXGwsGg1hBdEO44zAuAVxtgTvj99CsB1jLH5AK4D8J2Qb3QBuA/AtYyx1wKeudJxnD2O4+x59dVXyQ2wsLCwiAIyFyKbfNeF6BJj1TJ0L8DWucxZBSb60sKiVRDGZDmOcxOAj6Aa3N6OqovwBwAuBtDLGGOO4zgAjjHG5nDezwLYCuBhxtjXKZWyMVkWFhZJgY7Vhvcu9XvUmCuZ+ukG47cyDswmHLVIMpRjshhjNwK4sfaRFQD+kjF2WS2+6h0AdgBYCeA5TqEOqhauZ6kEy8LCwiJJ8LuiZJS9/10ZkkM9wUd1lZnIKWUyDkyWNFmXoMVMhE6erCsAfMNxnAyAKQBXAoDjOAMAbmeMrQKwHFUr2DOO4+ytvfd5xtiPNMq1sLCwaAl0LEEqJMdkULcJgmQqDsxmabeYLZAiWYyxHaharsAY2wngXM4zBwGs8jzj6FbSwsLCotXQtQSpkhxTFhwTBMlEfiybpd1iNsFmfLewsLAgQNcS1OrEmaYSiOpa15KQesLCIi5YkmVhYWFBgC5JopKcKAO8TbkfdaxrrSabFhZxwpIsCwsLCw78ZMeEJUhEcuKIVWp1AHncV/JYWLQS5Gt14oRN4WBhYdFKhJGdqCxNSbgmJ07YlAwWJxO0rtWxsLCwmC0QBWZHZQmabbFKrbaoWVjEAWHGdwsLC4vZBFGmdSpkM6vbWCULi5MPlmRZWFhYeGCC7KhcPdOqa3J00eryLSySDOsutLCwsPBANzBbJw+U7Om/Vif1bHX5FhZJhyVZFhYWswbUYGudVAe6sVVxXpOjg1aXb2ExE2BJloWFxayArNVFNTA7rtiqVgfKt7p8C4uZABuTZWFhcdLDa3U5ni9hqljBDfc9/f+3d3cvVtRxHMffH0x7UrLcHsSHHqCbiiwJsYwyiDBBJOjCCIMIoiComyC6KPoHuugiIkooKCNIS0RLoSJItEx8Ci0sjETBstKsIJRvFzMb02mP+1N3zuz85vOCxbMzs3vm43e/u9/9zTlna3kc0Zk+tup0Nf1A+abv36wNvJJlZtkb9KrLWP5h536aflHPpu/frA08ZJlZ9ppYdRnE60ANYpgbz/dvNt75cqGZZW9Ql/CaMG3yucyZNbWxLE3fv9l45pUsM+sEr7qY2aB5yDKzzvCfcjGzQfLlQjMzM7MaeMgyMzMzq4GHLDMzM7MaeMgyMzMzq4GHLDMzM7MaeMgyMzMzq4GHLDMzM7MaeMgyMzMzq4GHLDMzM7MaeMgyMzMzq4Eioulz+B9JPwE/NHDXQ8DPDdzveODs3eTs3dXl/M7eTXVmvzIiLu3dOC6HrKZI2hoRtzR9Hk1wdmfvmi5nh27nd3ZnHxRfLjQzMzOrgYcsMzMzsxp4yPqvV5s+gQY5ezc5e3d1Ob+zd9PAs/sxWWZmZmY18EqWmZmZWQ06MWRJWiHpsKTdffYvlHRU0vby7bnKvkWSvpG0T9IzgzvrsZGQ/elK7t2STkq6pNy3X9Kuct/WwZ752ZM0S9InkvZI+lrSkyMcI0kvlfXdKWluZV9ra5+Y/cEy805JmyTNqexrbe0Ts2fZ84nZs+x5SedJ+kLSjjL7CyMck2u/p2TPst8hOX8zPR8R2b8BdwBzgd199i8E1o6wfQLwHXANMAnYAVzXdJ6xzN5z7BLg48r7+4GhpjOcRfbpwNzy9hTg2976AYuB9YCA+cCWHGqfmP024OLy9r3D2dte+8TsWfZ8Svae47Pp+bKHJ5e3JwJbgPk9x+SdkgJ9AAADRklEQVTa7ynZs+z308jfSM93YiUrIj4DfjmDD50H7IuI7yPib+AdYOmYnlzNTjP7A8DKGk9noCLiUERsK2//DuwBZvQcthR4MwqbgamSptPy2qdkj4hNEfFr+e5mYOZgz7IeiXXvJ/u698im58sePl6+O7F8633Qca79Pmr2XPsdkmvfT62178SQlejWcqlxvaTry20zgB8rxxwg/Zt1q0i6AFgEvFfZHMAGSV9JerSZMxsbkq4Cbqb4DaeqX42zqf0pslc9QvEb/rAsaj9K9qx7frS659jzkiZI2g4cBjZGRGf6PSF7VXb9nph/4D1/zlh9opbbRvGS+MclLQbeB66lWILslevTMZcAn0dEddVrQUQclHQZsFHS3nJlrFUkTab4QfJURBzr3T3Ch8QptrfKKNmHj7mL4pvu7ZXNra/9KNmz7vmUupNhz0fESeAmSVOB1ZJuiIjq41Gz7feE7EC+/Z6Qv5Ge90oWEBHHhpcaI2IdMFHSEMVEO6ty6EzgYAOnOAjL6LlsEBEHy38PA6spllVbRdJEih82b0XEqhEO6Vfj1tc+ITuSbgReA5ZGxJHh7W2v/WjZc+75lLqXsux5gIj4DfiUYqWuKtt+H3aK7Nn2e1W//E31vIcsQNIVklTenkfx/3IE+BK4VtLVkiZRfFNa09yZ1kPSRcCdwAeVbRdKmjJ8G7gHGPEZiuNVWdPXgT0R8WKfw9YAD5XPOpoPHI2IQ7S89inZJc0GVgHLI+LbyvZW1z4xe5Y9n/g1n2XPS7q0XMVA0vnA3cDensNy7fdRs+fa75Ccv5Ge78TlQkkrKZ5ZMCTpAPA8xQPjiIhXgPuBxyWdAP4ClkVEACckPQF8RPEMhBUR8XUDEc5YQnaA+4ANEfFH5UMvp1hyheLr5O2I+HBQ5z1GFgDLgV3ltXqAZ4HZ8G/+dRTPONoH/Ak8XO5re+1Tsj8HTANeLut8Ioo/ntr22qdkz7XnU7JDnj0/HXhD0gSKH6DvRsRaSY9B9v2ekj3Xfoe0/I30vF/x3czMzKwGvlxoZmZmVgMPWWZmZmY18JBlZmZmVgMPWWZmZmY18JBlZmZmVgMPWWZmZmY18JBlZmZmVgMPWWZmZmY1+AdJwNPkM1ccXgAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 720x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "\n",
    "# on crée une figure\n",
    "plt.figure(figsize=(10,6))\n",
    "# on fait une boucle sur les classes en définissant des marqueurs par classe\n",
    "markers=[\"+\",\"s\",\"^\",\"v\"]\n",
    "for val, mark in zip(np.unique(classes),markers):\n",
    "    plt.scatter(position[\"latitude\"][classes==val], \n",
    "                position[\"longitude\"][classes==val],s=20, #marker=mark,\n",
    "                label=\"classe% i\"%(val))\n",
    "plt.title(\"Représentation des classes sur la région Ile-de-France\")\n",
    "plt.legend()\n",
    "plt.savefig(\"./idf2.png\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[2.52013923e+03, 2.43851740e+03, 9.48358420e+00, 1.57023518e+02,\n",
       "        7.76556914e+01, 9.71201545e+02, 3.08588899e+01, 1.71015992e+01,\n",
       "        1.06532528e+03, 9.71201545e+02, 3.03448414e+01, 6.37788954e+01,\n",
       "        6.69367925e+02, 9.58264346e+02, 2.53636932e+04, 7.55997736e+02,\n",
       "        6.62392350e+02, 7.32024169e+02, 1.64136616e+03, 1.24053105e+02,\n",
       "        1.25388294e+03, 2.08695202e+02, 5.22859831e+00, 9.37441204e+00,\n",
       "        2.51900282e+01, 1.41747883e+02, 3.53819379e+01, 2.71542803e+01,\n",
       "        4.55851364e+01, 1.27093133e+01],\n",
       "       [3.00487151e+04, 2.90771221e+04, 8.59145349e+00, 2.46755814e+03,\n",
       "        8.72232558e+02, 1.21368229e+04, 4.86424419e+02, 1.81581395e+02,\n",
       "        1.31259983e+04, 1.21368229e+04, 2.32418768e+02, 7.56756595e+02,\n",
       "        5.69388888e+03, 1.17365930e+04, 2.22386018e+04, 1.21546411e+04,\n",
       "        1.10069664e+04, 1.21264074e+04, 1.97560495e+04, 2.03411497e+03,\n",
       "        1.49347141e+04, 2.70762209e+03, 4.62790698e+00, 9.57965116e+01,\n",
       "        2.85854651e+02, 1.99666860e+03, 4.62744186e+02, 3.24674419e+02,\n",
       "        6.04034884e+02, 1.66348837e+02],\n",
       "       [7.50675937e+04, 7.36606875e+04, 8.28625000e+00, 6.12000000e+03,\n",
       "        2.12771875e+03, 3.26715589e+04, 1.19265625e+03, 4.28937500e+02,\n",
       "        3.68511125e+04, 3.26715589e+04, 1.68895837e+03, 2.49059522e+03,\n",
       "        1.31254605e+04, 3.07855938e+04, 2.51890326e+04, 5.35191379e+04,\n",
       "        4.83722560e+04, 5.32405551e+04, 5.04333248e+04, 5.22841657e+03,\n",
       "        3.83807614e+04, 1.22755938e+04, 1.46562500e+01, 3.58250000e+02,\n",
       "        8.33156250e+02, 9.93603125e+03, 1.59018750e+03, 1.13350000e+03,\n",
       "        2.78553125e+03, 7.31218750e+02],\n",
       "       [1.77206800e+05, 1.77166400e+05, 8.20800000e+00, 1.22448000e+04,\n",
       "        5.63790000e+03, 9.05637079e+04, 2.33360000e+03, 1.14760000e+03,\n",
       "        1.04668507e+05, 9.05637079e+04, 6.17311590e+03, 7.93168292e+03,\n",
       "        2.93230764e+04, 8.20679000e+04, 2.61425661e+04, 1.07240278e+05,\n",
       "        9.26359527e+04, 1.08029469e+05, 1.23403328e+05, 1.18529817e+04,\n",
       "        9.54125060e+04, 3.14662000e+04, 2.78000000e+01, 7.97400000e+02,\n",
       "        1.51310000e+03, 2.56623000e+04, 3.48230000e+03, 3.46560000e+03,\n",
       "        6.72200000e+03, 1.21790000e+03]])"
      ]
     },
     "execution_count": 22,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "modele_km.cluster_centers_"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "fragment"
    }
   },
   "source": [
    "![image](./images/idf2.png)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "source": [
    "On voit que les quatre classes se répartissent très bien sur l’Ile-de-France avec :\n",
    "- Classe 0 : petites communes éloignées de Paris\n",
    "- Classe 1 : grandes communes de la petite ceinture\n",
    "- Classe 2 : arrondissements extérieurs de Paris (12 à 20)\n",
    "- Classe 3 : communes moyennes moins proches de Paris\n",
    "\n",
    "On pourrait bien entendu ajouter un fond de carte comme nous l’avons fait dans\n",
    "le chapitre 5."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "source": [
    "**Exercice :**\n",
    "    \n",
    "Traitement d'image avec les Kmeans\n",
    "\n",
    "On veut changer le nombre de couleur d'une photo de New York avec les K-means"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {},
   "outputs": [],
   "source": [
    "ny = plt.imread(\"./Data/tour-eiffel.png\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.image.AxesImage at 0x7f10218b1790>"
      ]
     },
     "execution_count": 24,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.imshow(ny)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(694, 1024, 3)"
      ]
     },
     "execution_count": 26,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "ny.shape"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {},
   "outputs": [],
   "source": [
    "# image = ny.reshape(694 * 1024, 3)\n",
    "image = ny.reshape(-1,3)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(710656, 3)"
      ]
     },
     "execution_count": 29,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "image.shape"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 47,
   "metadata": {},
   "outputs": [],
   "source": [
    "kmeans_ny=KMeans(n_clusters=16)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 48,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "KMeans(n_clusters=16)"
      ]
     },
     "execution_count": 48,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "kmeans_ny.fit(image)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 49,
   "metadata": {},
   "outputs": [],
   "source": [
    "label= kmeans_ny.labels_\n",
    "centers = kmeans_ny.cluster_centers_"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 50,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[0.95439595, 0.69174665, 0.4493808 ],\n",
       "       [0.34530628, 0.41104454, 0.5301111 ],\n",
       "       [0.7299472 , 0.7274432 , 0.88268054],\n",
       "       [0.29416874, 0.20241591, 0.08970875],\n",
       "       [0.03041995, 0.45285007, 0.8205032 ],\n",
       "       [0.9122378 , 0.86000574, 0.8824781 ],\n",
       "       [0.49401343, 0.5261972 , 0.67530787],\n",
       "       [0.2653014 , 0.4978742 , 0.82269883],\n",
       "       [0.5098183 , 0.32469165, 0.09229124],\n",
       "       [0.44060004, 0.5800118 , 0.8639168 ],\n",
       "       [0.17941502, 0.25463918, 0.36786994],\n",
       "       [0.5412041 , 0.42839685, 0.35746244],\n",
       "       [0.60893905, 0.62868565, 0.8432937 ],\n",
       "       [0.9222225 , 0.76150787, 0.7267994 ],\n",
       "       [0.83904576, 0.525461  , 0.073219  ],\n",
       "       [0.07778385, 0.0756796 , 0.07364762]], dtype=float32)"
      ]
     },
     "execution_count": 50,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "centers"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 51,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(710656, 3)"
      ]
     },
     "execution_count": 51,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "centers[label].shape"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 52,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.image.AxesImage at 0x7f1023182510>"
      ]
     },
     "execution_count": 52,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.imshow(centers[label].reshape(ny.shape))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 53,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[[0.2653014 , 0.4978742 , 0.82269883],\n",
       "        [0.2653014 , 0.4978742 , 0.82269883],\n",
       "        [0.2653014 , 0.4978742 , 0.82269883],\n",
       "        ...,\n",
       "        [0.49401343, 0.5261972 , 0.67530787],\n",
       "        [0.49401343, 0.5261972 , 0.67530787],\n",
       "        [0.49401343, 0.5261972 , 0.67530787]],\n",
       "\n",
       "       [[0.2653014 , 0.4978742 , 0.82269883],\n",
       "        [0.2653014 , 0.4978742 , 0.82269883],\n",
       "        [0.2653014 , 0.4978742 , 0.82269883],\n",
       "        ...,\n",
       "        [0.49401343, 0.5261972 , 0.67530787],\n",
       "        [0.49401343, 0.5261972 , 0.67530787],\n",
       "        [0.49401343, 0.5261972 , 0.67530787]],\n",
       "\n",
       "       [[0.2653014 , 0.4978742 , 0.82269883],\n",
       "        [0.2653014 , 0.4978742 , 0.82269883],\n",
       "        [0.2653014 , 0.4978742 , 0.82269883],\n",
       "        ...,\n",
       "        [0.49401343, 0.5261972 , 0.67530787],\n",
       "        [0.49401343, 0.5261972 , 0.67530787],\n",
       "        [0.49401343, 0.5261972 , 0.67530787]],\n",
       "\n",
       "       ...,\n",
       "\n",
       "       [[0.17941502, 0.25463918, 0.36786994],\n",
       "        [0.07778385, 0.0756796 , 0.07364762],\n",
       "        [0.17941502, 0.25463918, 0.36786994],\n",
       "        ...,\n",
       "        [0.34530628, 0.41104454, 0.5301111 ],\n",
       "        [0.34530628, 0.41104454, 0.5301111 ],\n",
       "        [0.17941502, 0.25463918, 0.36786994]],\n",
       "\n",
       "       [[0.17941502, 0.25463918, 0.36786994],\n",
       "        [0.17941502, 0.25463918, 0.36786994],\n",
       "        [0.34530628, 0.41104454, 0.5301111 ],\n",
       "        ...,\n",
       "        [0.17941502, 0.25463918, 0.36786994],\n",
       "        [0.34530628, 0.41104454, 0.5301111 ],\n",
       "        [0.49401343, 0.5261972 , 0.67530787]],\n",
       "\n",
       "       [[0.34530628, 0.41104454, 0.5301111 ],\n",
       "        [0.2653014 , 0.4978742 , 0.82269883],\n",
       "        [0.2653014 , 0.4978742 , 0.82269883],\n",
       "        ...,\n",
       "        [0.49401343, 0.5261972 , 0.67530787],\n",
       "        [0.34530628, 0.41104454, 0.5301111 ],\n",
       "        [0.34530628, 0.41104454, 0.5301111 ]]], dtype=float32)"
      ]
     },
     "execution_count": 53,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "centers[label].reshape(ny.shape)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "source": [
    "## Les méthodes de réduction de dimension\n",
    "\n",
    "Parmi les algorithmes non supervisés, on inclut souvent des méthodes qui permettent de réduire le nombre de dimensions de vos données. Nous allons présenter\n",
    "l’utilisation de trois d’entre elles : l’analyse en composantes principales et deux\n",
    "méthodes non linéaires.\n",
    "\n",
    "Les méthodes de réduction de dimensions se divisent en deux familles : les\n",
    "méthodes linéaires et les méthodes non linéaires."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "source": [
    "### Méthodes linéaires\n",
    "Il s’agit de méthodes d’analyse de données souvent bien connues. On pourra citer :\n",
    "\n",
    "- l’analyse en composantes principales (ACP/PCA)\n",
    "- l’analyse en composantes indépendantes\n",
    "- la décomposition en valeurs singulières\n",
    "- l’analyse factorielle\n",
    "- les analyses multi-tableaux\n",
    "\n",
    "Et pour des données qualitatives :\n",
    "   \n",
    "- l’analyse des correspondances multiples\n",
    "\n",
    "Scikit-Learn possède de nombreuses approches mais nous allons nous concentrer sur une application de l’analyse en composantes principales."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "source": [
    "## Application de l'ACP\n",
    "Nous utilisons une base de données d’images : celle du jeu de données Fashion-\n",
    "MNIST qui rassemble des photographies de vêtements (un vêtement par image).\n",
    "Ces données sont directement disponibles dans le package Keras. Nous allons utiliser l’ACP pour réduire la complexité de ces images. \n",
    "\n",
    "Une description des données est disponible au début du chapitre 4."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\Users\\s4d-asus-14\\Anaconda3\\lib\\site-packages\\h5py\\__init__.py:36: FutureWarning: Conversion of the second argument of issubdtype from `float` to `np.floating` is deprecated. In future, it will be treated as `np.float64 == np.dtype(float).type`.\n",
      "  from ._conv import register_converters as _register_converters\n",
      "Using TensorFlow backend.\n"
     ]
    }
   ],
   "source": [
    "%matplotlib inline\n",
    "from sklearn.decomposition import PCA\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "from keras.datasets import fashion_mnist"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(60000, 28, 28)"
      ]
     },
     "execution_count": 15,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# on récupère les données dans 4 arrays\n",
    "(train_img, train_lbl), (test_img, test_lbl)=fashion_mnist.load_data()\n",
    "# ce jeu de données d’apprentissage est composé de 600000 images\n",
    "# ayant 28 x 28 pixels en noir et blanc\n",
    "train_img.shape"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {
    "slideshow": {
     "slide_type": "fragment"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "8"
      ]
     },
     "execution_count": 17,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# l’image 801 a le label 9: chaussure\n",
    "train_lbl[100]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.image.AxesImage at 0x151801e79b0>"
      ]
     },
     "execution_count": 23,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.imshow(train_img[150])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "source": [
    "Nous avons donc récupéré des images de taille 28 par 28 qui sont stockées dans\n",
    "un array avec une image par ligne.\n",
    "\n",
    "L’objectif est de réduire le nombre d’informations nécessaires à l’apprentissage de ces images en vue d’appliquer un modèle prédictif. Nous allons voir comment simplifier ces images en utilisant toutes les données :"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(60000, 24)"
      ]
     },
     "execution_count": 19,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# on passe les images en deux dimensions\n",
    "img_acp=train_img.reshape(train_img.shape[0],-1)\n",
    "\n",
    "# on crée un modèle d’ACP\n",
    "pca=PCA(n_components=.80)\n",
    "\n",
    "# on réduit le nombre de dimensions avec l’ACP\n",
    "donnees_reduites=pca.fit_transform(img_acp)\n",
    "\n",
    "# Pour capturer 80% de l’information, on utiliser 43 des 784 composantes\n",
    "# on projette les données réduites dans l’espace d’origine\n",
    "projection=pca.inverse_transform(donnees_reduites)\n",
    "\n",
    "donnees_reduites.shape"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 576x288 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# on affiche les résultats\n",
    "plt.figure(figsize=(8,4));\n",
    "# image initale\n",
    "plt.subplot(1, 2, 1);\n",
    "plt.imshow(img_acp[150].reshape(28,28))\n",
    "plt.xlabel('%i composantes'%(img_acp.shape[1]))\n",
    "plt.title('Image initiale');\n",
    "# image basée sur l’ACP\n",
    "plt.subplot(1, 2, 2);\n",
    "plt.imshow(projection[150].reshape(28, 28))\n",
    "plt.xlabel('%i composantes' %(donnees_reduites.shape[1]))\n",
    "plt.title('%s de variance expliquée'%(str(pca.n_components*100)+\"%\"))\n",
    "plt.savefig(\"transfo.png\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "source": [
    "## Aller plus loin\n",
    "\n",
    "De nombreuses autres méthodes de machine learning non supervisé sont disponibles. La documentation de scikit-learn vous aidera à en avoir un aperçu très lare :\n",
    "    \n",
    "- Clustering : \n",
    "\n",
    "http://scikit-learn.org/stable/modules/clustering.html#clustering\n",
    "\n",
    "\n",
    "- Réduction de dimension : \n",
    "\n",
    "http://scikit-learn.org/stable/modules/decomposition.html#decompositions"
   ]
  }
 ],
 "metadata": {
  "celltoolbar": "Slideshow",
  "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": "3.7.7"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}