clustering_k_means vs gmm.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "c46a81be",
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import pandas as pd\n",
    "import matplotlib.pyplot as plt\n",
    "import math\n",
    "import seaborn as sns"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "c605fefb",
   "metadata": {},
   "outputs": [],
   "source": [
    "wine = pd.read_csv('wine-clustering.csv')            #loading the csv file"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "6e44a8aa",
   "metadata": {},
   "outputs": [
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       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>Alcohol</th>\n",
       "      <th>Malic_Acid</th>\n",
       "      <th>Ash</th>\n",
       "      <th>Ash_Alcanity</th>\n",
       "      <th>Magnesium</th>\n",
       "      <th>Total_Phenols</th>\n",
       "      <th>Flavanoids</th>\n",
       "      <th>Nonflavanoid_Phenols</th>\n",
       "      <th>Proanthocyanins</th>\n",
       "      <th>Color_Intensity</th>\n",
       "      <th>Hue</th>\n",
       "      <th>OD280</th>\n",
       "      <th>Proline</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>14.23</td>\n",
       "      <td>1.71</td>\n",
       "      <td>2.43</td>\n",
       "      <td>15.6</td>\n",
       "      <td>127</td>\n",
       "      <td>2.80</td>\n",
       "      <td>3.06</td>\n",
       "      <td>0.28</td>\n",
       "      <td>2.29</td>\n",
       "      <td>5.64</td>\n",
       "      <td>1.04</td>\n",
       "      <td>3.92</td>\n",
       "      <td>1065</td>\n",
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       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>13.20</td>\n",
       "      <td>1.78</td>\n",
       "      <td>2.14</td>\n",
       "      <td>11.2</td>\n",
       "      <td>100</td>\n",
       "      <td>2.65</td>\n",
       "      <td>2.76</td>\n",
       "      <td>0.26</td>\n",
       "      <td>1.28</td>\n",
       "      <td>4.38</td>\n",
       "      <td>1.05</td>\n",
       "      <td>3.40</td>\n",
       "      <td>1050</td>\n",
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       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>13.16</td>\n",
       "      <td>2.36</td>\n",
       "      <td>2.67</td>\n",
       "      <td>18.6</td>\n",
       "      <td>101</td>\n",
       "      <td>2.80</td>\n",
       "      <td>3.24</td>\n",
       "      <td>0.30</td>\n",
       "      <td>2.81</td>\n",
       "      <td>5.68</td>\n",
       "      <td>1.03</td>\n",
       "      <td>3.17</td>\n",
       "      <td>1185</td>\n",
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       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>14.37</td>\n",
       "      <td>1.95</td>\n",
       "      <td>2.50</td>\n",
       "      <td>16.8</td>\n",
       "      <td>113</td>\n",
       "      <td>3.85</td>\n",
       "      <td>3.49</td>\n",
       "      <td>0.24</td>\n",
       "      <td>2.18</td>\n",
       "      <td>7.80</td>\n",
       "      <td>0.86</td>\n",
       "      <td>3.45</td>\n",
       "      <td>1480</td>\n",
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       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>13.24</td>\n",
       "      <td>2.59</td>\n",
       "      <td>2.87</td>\n",
       "      <td>21.0</td>\n",
       "      <td>118</td>\n",
       "      <td>2.80</td>\n",
       "      <td>2.69</td>\n",
       "      <td>0.39</td>\n",
       "      <td>1.82</td>\n",
       "      <td>4.32</td>\n",
       "      <td>1.04</td>\n",
       "      <td>2.93</td>\n",
       "      <td>735</td>\n",
       "    </tr>\n",
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       "    <tr>\n",
       "      <th>173</th>\n",
       "      <td>13.71</td>\n",
       "      <td>5.65</td>\n",
       "      <td>2.45</td>\n",
       "      <td>20.5</td>\n",
       "      <td>95</td>\n",
       "      <td>1.68</td>\n",
       "      <td>0.61</td>\n",
       "      <td>0.52</td>\n",
       "      <td>1.06</td>\n",
       "      <td>7.70</td>\n",
       "      <td>0.64</td>\n",
       "      <td>1.74</td>\n",
       "      <td>740</td>\n",
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       "    <tr>\n",
       "      <th>174</th>\n",
       "      <td>13.40</td>\n",
       "      <td>3.91</td>\n",
       "      <td>2.48</td>\n",
       "      <td>23.0</td>\n",
       "      <td>102</td>\n",
       "      <td>1.80</td>\n",
       "      <td>0.75</td>\n",
       "      <td>0.43</td>\n",
       "      <td>1.41</td>\n",
       "      <td>7.30</td>\n",
       "      <td>0.70</td>\n",
       "      <td>1.56</td>\n",
       "      <td>750</td>\n",
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       "    <tr>\n",
       "      <th>175</th>\n",
       "      <td>13.27</td>\n",
       "      <td>4.28</td>\n",
       "      <td>2.26</td>\n",
       "      <td>20.0</td>\n",
       "      <td>120</td>\n",
       "      <td>1.59</td>\n",
       "      <td>0.69</td>\n",
       "      <td>0.43</td>\n",
       "      <td>1.35</td>\n",
       "      <td>10.20</td>\n",
       "      <td>0.59</td>\n",
       "      <td>1.56</td>\n",
       "      <td>835</td>\n",
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       "      <th>176</th>\n",
       "      <td>13.17</td>\n",
       "      <td>2.59</td>\n",
       "      <td>2.37</td>\n",
       "      <td>20.0</td>\n",
       "      <td>120</td>\n",
       "      <td>1.65</td>\n",
       "      <td>0.68</td>\n",
       "      <td>0.53</td>\n",
       "      <td>1.46</td>\n",
       "      <td>9.30</td>\n",
       "      <td>0.60</td>\n",
       "      <td>1.62</td>\n",
       "      <td>840</td>\n",
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       "      <th>177</th>\n",
       "      <td>14.13</td>\n",
       "      <td>4.10</td>\n",
       "      <td>2.74</td>\n",
       "      <td>24.5</td>\n",
       "      <td>96</td>\n",
       "      <td>2.05</td>\n",
       "      <td>0.76</td>\n",
       "      <td>0.56</td>\n",
       "      <td>1.35</td>\n",
       "      <td>9.20</td>\n",
       "      <td>0.61</td>\n",
       "      <td>1.60</td>\n",
       "      <td>560</td>\n",
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       "<p>178 rows × 13 columns</p>\n",
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      "text/plain": [
       "     Alcohol  Malic_Acid   Ash  Ash_Alcanity  Magnesium  Total_Phenols  \\\n",
       "0      14.23        1.71  2.43          15.6        127           2.80   \n",
       "1      13.20        1.78  2.14          11.2        100           2.65   \n",
       "2      13.16        2.36  2.67          18.6        101           2.80   \n",
       "3      14.37        1.95  2.50          16.8        113           3.85   \n",
       "4      13.24        2.59  2.87          21.0        118           2.80   \n",
       "..       ...         ...   ...           ...        ...            ...   \n",
       "173    13.71        5.65  2.45          20.5         95           1.68   \n",
       "174    13.40        3.91  2.48          23.0        102           1.80   \n",
       "175    13.27        4.28  2.26          20.0        120           1.59   \n",
       "176    13.17        2.59  2.37          20.0        120           1.65   \n",
       "177    14.13        4.10  2.74          24.5         96           2.05   \n",
       "\n",
       "     Flavanoids  Nonflavanoid_Phenols  Proanthocyanins  Color_Intensity   Hue  \\\n",
       "0          3.06                  0.28             2.29             5.64  1.04   \n",
       "1          2.76                  0.26             1.28             4.38  1.05   \n",
       "2          3.24                  0.30             2.81             5.68  1.03   \n",
       "3          3.49                  0.24             2.18             7.80  0.86   \n",
       "4          2.69                  0.39             1.82             4.32  1.04   \n",
       "..          ...                   ...              ...              ...   ...   \n",
       "173        0.61                  0.52             1.06             7.70  0.64   \n",
       "174        0.75                  0.43             1.41             7.30  0.70   \n",
       "175        0.69                  0.43             1.35            10.20  0.59   \n",
       "176        0.68                  0.53             1.46             9.30  0.60   \n",
       "177        0.76                  0.56             1.35             9.20  0.61   \n",
       "\n",
       "     OD280  Proline  \n",
       "0     3.92     1065  \n",
       "1     3.40     1050  \n",
       "2     3.17     1185  \n",
       "3     3.45     1480  \n",
       "4     2.93      735  \n",
       "..     ...      ...  \n",
       "173   1.74      740  \n",
       "174   1.56      750  \n",
       "175   1.56      835  \n",
       "176   1.62      840  \n",
       "177   1.60      560  \n",
       "\n",
       "[178 rows x 13 columns]"
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     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "wine = pd.DataFrame(wine) #changing to dataframe\n",
    "wine"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "bfe721dd",
   "metadata": {},
   "outputs": [
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      ],
      "text/plain": [
       "     Alcohol  Malic_Acid    Ash  Ash_Alcanity  Magnesium  Total_Phenols  \\\n",
       "0      False       False  False         False      False          False   \n",
       "1      False       False  False         False      False          False   \n",
       "2      False       False  False         False      False          False   \n",
       "3      False       False  False         False      False          False   \n",
       "4      False       False  False         False      False          False   \n",
       "..       ...         ...    ...           ...        ...            ...   \n",
       "173    False       False  False         False      False          False   \n",
       "174    False       False  False         False      False          False   \n",
       "175    False       False  False         False      False          False   \n",
       "176    False       False  False         False      False          False   \n",
       "177    False       False  False         False      False          False   \n",
       "\n",
       "     Flavanoids  Nonflavanoid_Phenols  Proanthocyanins  Color_Intensity  \\\n",
       "0         False                 False            False            False   \n",
       "1         False                 False            False            False   \n",
       "2         False                 False            False            False   \n",
       "3         False                 False            False            False   \n",
       "4         False                 False            False            False   \n",
       "..          ...                   ...              ...              ...   \n",
       "173       False                 False            False            False   \n",
       "174       False                 False            False            False   \n",
       "175       False                 False            False            False   \n",
       "176       False                 False            False            False   \n",
       "177       False                 False            False            False   \n",
       "\n",
       "       Hue  OD280  Proline  \n",
       "0    False  False    False  \n",
       "1    False  False    False  \n",
       "2    False  False    False  \n",
       "3    False  False    False  \n",
       "4    False  False    False  \n",
       "..     ...    ...      ...  \n",
       "173  False  False    False  \n",
       "174  False  False    False  \n",
       "175  False  False    False  \n",
       "176  False  False    False  \n",
       "177  False  False    False  \n",
       "\n",
       "[178 rows x 13 columns]"
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     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "wine.isnull()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "ce920ce8",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Alcohol                 0\n",
       "Malic_Acid              0\n",
       "Ash                     0\n",
       "Ash_Alcanity            0\n",
       "Magnesium               0\n",
       "Total_Phenols           0\n",
       "Flavanoids              0\n",
       "Nonflavanoid_Phenols    0\n",
       "Proanthocyanins         0\n",
       "Color_Intensity         0\n",
       "Hue                     0\n",
       "OD280                   0\n",
       "Proline                 0\n",
       "dtype: int64"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "wine.isnull().sum() #checking for missing values"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "3b5aa6d7",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>Alcohol</th>\n",
       "      <th>Malic_Acid</th>\n",
       "      <th>Ash</th>\n",
       "      <th>Ash_Alcanity</th>\n",
       "      <th>Magnesium</th>\n",
       "      <th>Total_Phenols</th>\n",
       "      <th>Flavanoids</th>\n",
       "      <th>Nonflavanoid_Phenols</th>\n",
       "      <th>Proanthocyanins</th>\n",
       "      <th>Color_Intensity</th>\n",
       "      <th>Hue</th>\n",
       "      <th>OD280</th>\n",
       "      <th>Proline</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>Alcohol</th>\n",
       "      <td>1.000000</td>\n",
       "      <td>0.094397</td>\n",
       "      <td>0.211545</td>\n",
       "      <td>-0.310235</td>\n",
       "      <td>0.270798</td>\n",
       "      <td>0.289101</td>\n",
       "      <td>0.236815</td>\n",
       "      <td>-0.155929</td>\n",
       "      <td>0.136698</td>\n",
       "      <td>0.546364</td>\n",
       "      <td>-0.071747</td>\n",
       "      <td>0.072343</td>\n",
       "      <td>0.643720</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Malic_Acid</th>\n",
       "      <td>0.094397</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>0.164045</td>\n",
       "      <td>0.288500</td>\n",
       "      <td>-0.054575</td>\n",
       "      <td>-0.335167</td>\n",
       "      <td>-0.411007</td>\n",
       "      <td>0.292977</td>\n",
       "      <td>-0.220746</td>\n",
       "      <td>0.248985</td>\n",
       "      <td>-0.561296</td>\n",
       "      <td>-0.368710</td>\n",
       "      <td>-0.192011</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Ash</th>\n",
       "      <td>0.211545</td>\n",
       "      <td>0.164045</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>0.443367</td>\n",
       "      <td>0.286587</td>\n",
       "      <td>0.128980</td>\n",
       "      <td>0.115077</td>\n",
       "      <td>0.186230</td>\n",
       "      <td>0.009652</td>\n",
       "      <td>0.258887</td>\n",
       "      <td>-0.074667</td>\n",
       "      <td>0.003911</td>\n",
       "      <td>0.223626</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Ash_Alcanity</th>\n",
       "      <td>-0.310235</td>\n",
       "      <td>0.288500</td>\n",
       "      <td>0.443367</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>-0.083333</td>\n",
       "      <td>-0.321113</td>\n",
       "      <td>-0.351370</td>\n",
       "      <td>0.361922</td>\n",
       "      <td>-0.197327</td>\n",
       "      <td>0.018732</td>\n",
       "      <td>-0.273955</td>\n",
       "      <td>-0.276769</td>\n",
       "      <td>-0.440597</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Magnesium</th>\n",
       "      <td>0.270798</td>\n",
       "      <td>-0.054575</td>\n",
       "      <td>0.286587</td>\n",
       "      <td>-0.083333</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>0.214401</td>\n",
       "      <td>0.195784</td>\n",
       "      <td>-0.256294</td>\n",
       "      <td>0.236441</td>\n",
       "      <td>0.199950</td>\n",
       "      <td>0.055398</td>\n",
       "      <td>0.066004</td>\n",
       "      <td>0.393351</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Total_Phenols</th>\n",
       "      <td>0.289101</td>\n",
       "      <td>-0.335167</td>\n",
       "      <td>0.128980</td>\n",
       "      <td>-0.321113</td>\n",
       "      <td>0.214401</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>0.864564</td>\n",
       "      <td>-0.449935</td>\n",
       "      <td>0.612413</td>\n",
       "      <td>-0.055136</td>\n",
       "      <td>0.433681</td>\n",
       "      <td>0.699949</td>\n",
       "      <td>0.498115</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Flavanoids</th>\n",
       "      <td>0.236815</td>\n",
       "      <td>-0.411007</td>\n",
       "      <td>0.115077</td>\n",
       "      <td>-0.351370</td>\n",
       "      <td>0.195784</td>\n",
       "      <td>0.864564</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>-0.537900</td>\n",
       "      <td>0.652692</td>\n",
       "      <td>-0.172379</td>\n",
       "      <td>0.543479</td>\n",
       "      <td>0.787194</td>\n",
       "      <td>0.494193</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Nonflavanoid_Phenols</th>\n",
       "      <td>-0.155929</td>\n",
       "      <td>0.292977</td>\n",
       "      <td>0.186230</td>\n",
       "      <td>0.361922</td>\n",
       "      <td>-0.256294</td>\n",
       "      <td>-0.449935</td>\n",
       "      <td>-0.537900</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>-0.365845</td>\n",
       "      <td>0.139057</td>\n",
       "      <td>-0.262640</td>\n",
       "      <td>-0.503270</td>\n",
       "      <td>-0.311385</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Proanthocyanins</th>\n",
       "      <td>0.136698</td>\n",
       "      <td>-0.220746</td>\n",
       "      <td>0.009652</td>\n",
       "      <td>-0.197327</td>\n",
       "      <td>0.236441</td>\n",
       "      <td>0.612413</td>\n",
       "      <td>0.652692</td>\n",
       "      <td>-0.365845</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>-0.025250</td>\n",
       "      <td>0.295544</td>\n",
       "      <td>0.519067</td>\n",
       "      <td>0.330417</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Color_Intensity</th>\n",
       "      <td>0.546364</td>\n",
       "      <td>0.248985</td>\n",
       "      <td>0.258887</td>\n",
       "      <td>0.018732</td>\n",
       "      <td>0.199950</td>\n",
       "      <td>-0.055136</td>\n",
       "      <td>-0.172379</td>\n",
       "      <td>0.139057</td>\n",
       "      <td>-0.025250</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>-0.521813</td>\n",
       "      <td>-0.428815</td>\n",
       "      <td>0.316100</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Hue</th>\n",
       "      <td>-0.071747</td>\n",
       "      <td>-0.561296</td>\n",
       "      <td>-0.074667</td>\n",
       "      <td>-0.273955</td>\n",
       "      <td>0.055398</td>\n",
       "      <td>0.433681</td>\n",
       "      <td>0.543479</td>\n",
       "      <td>-0.262640</td>\n",
       "      <td>0.295544</td>\n",
       "      <td>-0.521813</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>0.565468</td>\n",
       "      <td>0.236183</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>OD280</th>\n",
       "      <td>0.072343</td>\n",
       "      <td>-0.368710</td>\n",
       "      <td>0.003911</td>\n",
       "      <td>-0.276769</td>\n",
       "      <td>0.066004</td>\n",
       "      <td>0.699949</td>\n",
       "      <td>0.787194</td>\n",
       "      <td>-0.503270</td>\n",
       "      <td>0.519067</td>\n",
       "      <td>-0.428815</td>\n",
       "      <td>0.565468</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>0.312761</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Proline</th>\n",
       "      <td>0.643720</td>\n",
       "      <td>-0.192011</td>\n",
       "      <td>0.223626</td>\n",
       "      <td>-0.440597</td>\n",
       "      <td>0.393351</td>\n",
       "      <td>0.498115</td>\n",
       "      <td>0.494193</td>\n",
       "      <td>-0.311385</td>\n",
       "      <td>0.330417</td>\n",
       "      <td>0.316100</td>\n",
       "      <td>0.236183</td>\n",
       "      <td>0.312761</td>\n",
       "      <td>1.000000</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "                       Alcohol  Malic_Acid       Ash  Ash_Alcanity  Magnesium  \\\n",
       "Alcohol               1.000000    0.094397  0.211545     -0.310235   0.270798   \n",
       "Malic_Acid            0.094397    1.000000  0.164045      0.288500  -0.054575   \n",
       "Ash                   0.211545    0.164045  1.000000      0.443367   0.286587   \n",
       "Ash_Alcanity         -0.310235    0.288500  0.443367      1.000000  -0.083333   \n",
       "Magnesium             0.270798   -0.054575  0.286587     -0.083333   1.000000   \n",
       "Total_Phenols         0.289101   -0.335167  0.128980     -0.321113   0.214401   \n",
       "Flavanoids            0.236815   -0.411007  0.115077     -0.351370   0.195784   \n",
       "Nonflavanoid_Phenols -0.155929    0.292977  0.186230      0.361922  -0.256294   \n",
       "Proanthocyanins       0.136698   -0.220746  0.009652     -0.197327   0.236441   \n",
       "Color_Intensity       0.546364    0.248985  0.258887      0.018732   0.199950   \n",
       "Hue                  -0.071747   -0.561296 -0.074667     -0.273955   0.055398   \n",
       "OD280                 0.072343   -0.368710  0.003911     -0.276769   0.066004   \n",
       "Proline               0.643720   -0.192011  0.223626     -0.440597   0.393351   \n",
       "\n",
       "                      Total_Phenols  Flavanoids  Nonflavanoid_Phenols  \\\n",
       "Alcohol                    0.289101    0.236815             -0.155929   \n",
       "Malic_Acid                -0.335167   -0.411007              0.292977   \n",
       "Ash                        0.128980    0.115077              0.186230   \n",
       "Ash_Alcanity              -0.321113   -0.351370              0.361922   \n",
       "Magnesium                  0.214401    0.195784             -0.256294   \n",
       "Total_Phenols              1.000000    0.864564             -0.449935   \n",
       "Flavanoids                 0.864564    1.000000             -0.537900   \n",
       "Nonflavanoid_Phenols      -0.449935   -0.537900              1.000000   \n",
       "Proanthocyanins            0.612413    0.652692             -0.365845   \n",
       "Color_Intensity           -0.055136   -0.172379              0.139057   \n",
       "Hue                        0.433681    0.543479             -0.262640   \n",
       "OD280                      0.699949    0.787194             -0.503270   \n",
       "Proline                    0.498115    0.494193             -0.311385   \n",
       "\n",
       "                      Proanthocyanins  Color_Intensity       Hue     OD280  \\\n",
       "Alcohol                      0.136698         0.546364 -0.071747  0.072343   \n",
       "Malic_Acid                  -0.220746         0.248985 -0.561296 -0.368710   \n",
       "Ash                          0.009652         0.258887 -0.074667  0.003911   \n",
       "Ash_Alcanity                -0.197327         0.018732 -0.273955 -0.276769   \n",
       "Magnesium                    0.236441         0.199950  0.055398  0.066004   \n",
       "Total_Phenols                0.612413        -0.055136  0.433681  0.699949   \n",
       "Flavanoids                   0.652692        -0.172379  0.543479  0.787194   \n",
       "Nonflavanoid_Phenols        -0.365845         0.139057 -0.262640 -0.503270   \n",
       "Proanthocyanins              1.000000        -0.025250  0.295544  0.519067   \n",
       "Color_Intensity             -0.025250         1.000000 -0.521813 -0.428815   \n",
       "Hue                          0.295544        -0.521813  1.000000  0.565468   \n",
       "OD280                        0.519067        -0.428815  0.565468  1.000000   \n",
       "Proline                      0.330417         0.316100  0.236183  0.312761   \n",
       "\n",
       "                       Proline  \n",
       "Alcohol               0.643720  \n",
       "Malic_Acid           -0.192011  \n",
       "Ash                   0.223626  \n",
       "Ash_Alcanity         -0.440597  \n",
       "Magnesium             0.393351  \n",
       "Total_Phenols         0.498115  \n",
       "Flavanoids            0.494193  \n",
       "Nonflavanoid_Phenols -0.311385  \n",
       "Proanthocyanins       0.330417  \n",
       "Color_Intensity       0.316100  \n",
       "Hue                   0.236183  \n",
       "OD280                 0.312761  \n",
       "Proline               1.000000  "
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "wine_cor = wine.corr() #chacking the correlation\n",
    "wine_cor"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "b3516cbe",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<AxesSubplot:>"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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XFxd89dVX8uH9/J5nz549SE9PR+PGjTFs2DDMmTOnSM9DRERU6qhw6Dw9PR0vX75UOD5cEAu8m0J36dIltGvXTqG8Xbt2iIqKyreZzZo1w19//YWDBw9CFEX8/fff2LVrFzp16qSWjyWXIOY3eY6oFNtpOUCSuN2uz5IkLgCcdPKXJK5V+VRJ4gLAttdmksQ9mPlYkrgA8CzzX0ni/q+C+ccrqcmUNJkkcX8SpPunr8GTy5LEdSpvLUlcAKgrs5As9uaHYR+v9AneHF758UqFtCAqWWEnF+Dd6GFAQIBC2ZMnT1ClShWcOXMGzZo1k5fPnTsXGzZsQFxcXL7337VrF4YMGYK3b98iKysLX3/9NXbt2gVtbW2VPcOH2KNJREREVArktwDW37/gjoYPF9WKoljgQtubN2/Cx8cHP/30Ey5duoTw8HDcv38/31diqxL30fwPSkhIgKOjY4Hnb968+UmvwiQiIvrPKMZq8YLIZDLIZB/v5Tc3N4empiaSkpIUypOTk1GpUqV8r5k3bx6aN28OPz8/AO8W9BoYGODLL7/E7NmzYWlp+ekPkA8mmv9BlStXRkxMjNLzREREVAgS7H+po6ODhg0bIiIiAt27d5eXR0REoGvXrvle8/r16zxrNHIXIqtzFiUTzf8gLS0t2NvbS90MIiIiKiZfX18MGjQIrq6ucHNzw2+//YaEhAT5ULi/vz8eP36MjRs3Ani3N/fw4cOxatUqeHh4IDExEePGjUPjxo3V2sHERJOIiIiouCR6o0/fvn3x7NkzzJw5E4mJiahTpw4OHjwIa+t3i74SExMV9tT09PTEv//+ixUrVmDChAkwMTHBV199hQULFqi1nUw0iYiIiIpLhXM0i8rb2xve3t75ngsJCclT9v333+P7779Xc6sUcdU5EREREakFezSJiIiIikuiofPPBRNNIiIiouKScOj8c8BEkz471YQ3ksSV6u08ANDixjxJ4r4a5SVJXADo9+czSeI2fK6eveQKI1NTmq3FEp9nSBIXAFpq60oSV0P7hSRxAWBy5ZaSxK2YI91suebZrySLrXbs0VSKczSJiIiISC3Yo0lERERUXBw6V4qJJhEREVFxcehcKQ6dExEREZFasEeTiIiIqLjYo6kUE00iIiKi4hJFqVtQqnHonIiIiIjUgokmlYgHDx5AEATExMRI3RQiIiLVyclR3VEGMdGkIouKioKmpibat28vdVOIiIikxURTKSaaVGTr16/H999/j9OnTyMhIUHq5hAREVEpxUSTiiQtLQ07duzAqFGj0LlzZ4SEhMjPpaSkYMCAAahQoQL09PRQo0YNBAcHK1x/7949tG7dGvr6+qhXrx7Onj1bwk9ARESkQmKO6o4yiIkmFcn27dtRq1Yt1KpVCwMHDkRwcDDE/7/ibtq0abh58yb+97//ITY2FqtWrYK5ubnC9VOnTsXEiRMRExODmjVr4ptvvkFWVpYUj0JERPTpOHSuFLc3oiIJCgrCwIEDAQDt27fHq1evEBkZCXd3dyQkJKB+/fpwdXUFANjY2OS5fuLEiejUqRMAYMaMGXBycsLdu3dRu3btfOOlp6cjPT1doSxDzIaOoKnCpyIiIiombm+kFHs0qdDi4uJw4cIF9OvXDwCgpaWFvn37Yv369QCAUaNGYdu2bXBxccGkSZMQFRWV5x7Ozs7yX1taWgIAkpOTC4w5b948GBsbKxwbXt1W5WMRERGRmrBHkwotKCgIWVlZqFKlirxMFEVoa2sjJSUFHTp0wMOHD/HHH3/gyJEjaNOmDUaPHo1FixbJ62tra8t/LQgCACBHyXCBv78/fH19Fcqu1hqkqkciIiL6NGV0yFtV2KNJhZKVlYWNGzciMDAQMTEx8uPq1auwtrZGaGgoAKBChQrw9PTE5s2bsXTpUvz222+fFFcmk8HIyEjh4LA5ERGVGpyjqRR7NKlQDhw4gJSUFAwdOhTGxsYK53r16oWgoCAkJyejYcOGcHJyQnp6Og4cOAAHBweJWkxERERSY48mFUpQUBDc3d3zJJkA0LNnT8TExEBLSwv+/v5wdnZGixYtoKmpiW3btknQWiIiohLC7Y2UYo8mFcr+/fsLPNegQQP5Fkc//fRTvnVsbGzkdXKZmJjkKSMiIvqciDn8d0wZ9mgSERERkVqwR5OIiIiouMroIh5VYaJJREREVFxldG6lqnDonIiIiIjUgj2aRERERMXFxUBKMdEkIiIiKi7O0VSKiSYRERFRcTHRVIpzNImIiIhILdijSZ8dPyFVkrjrymtLEhcAXo3ykiSu4ar1ksQFgIWuP0oS96RWkiRxASA9J1OSuPurS/dPwapHJpLE1cyUJi4AROOZJHFFSDeXMPD1Y8liJ6g7AF88ohQTTSIiIqLi4tC5Uhw6JyIiIiK1YI8mERERUXFxeyOlmGgSERERFRffDKQUh86JiIiISC2YaBIREREVV46ouqOIVq5cCVtbW+jq6qJhw4Y4deqU0vrp6emYOnUqrK2tIZPJUL16daxfr97dRTh0TkRERFRMokSrzrdv345x48Zh5cqVaN68OdasWYMOHTrg5s2bqFatWr7X9OnTB3///TeCgoJgb2+P5ORkZGVlqbWd7NEsQQ8ePIAgCIiJiVFrHBsbGyxdulStMT4kCAL27t1bojGJiIjKkvT0dLx8+VLhSE9Pz7fu4sWLMXToUAwbNgwODg5YunQprKyssGrVqnzrh4eH48SJEzh48CDc3d1hY2ODxo0bo1mzZup8JCaaxRUVFQVNTU20b99ekvi1atWCjo4OHj+WbhPc9yUmJqJDhw4ASi6hJiIikpwKh87nzZsHY2NjhWPevHl5QmZkZODSpUto166dQnm7du0QFRWVbzP37dsHV1dXLFy4EFWqVEHNmjUxceJEvHnzRi0fSy4mmsW0fv16fP/99zh9+jQSEtT+3gEFp0+fxtu3b9G7d2+EhISUaOyCWFhYQCaTSd0MIiKikiXmqOzw9/dHamqqwuHv758n5NOnT5GdnY1KlSoplFeqVAlJSfm/3ezevXs4ffo0/vzzT+zZswdLly7Frl27MHr0aLV8LLmYaBZDWloaduzYgVGjRqFz584KyV5KSgoGDBiAChUqQE9PDzVq1EBwcLDC9ffu3UPr1q2hr6+PevXq4ezZs0WKHxQUhP79+2PQoEFYv349xI+8/urFixcYMWIEKlWqBF1dXdSpUwcHDhwAADx79gzffPMNqlatCn19fdStWxdbt25VuL5Vq1bw8fHBpEmTUL58eVhYWCAgIEChzvtD57a2tgCA+vXrQxAEtGrVCidPnoS2tnaevwATJkxAixYtivT8REREpYYKezRlMhmMjIwUDmWdOIIgKPwsimKeMnkzc3IgCAJCQ0PRuHFjdOzYEYsXL0ZISIhaezWZaBbD9u3bUatWLdSqVQsDBw5EcHCwPNmbNm0abt68if/973+IjY3FqlWrYG5urnD91KlTMXHiRMTExKBmzZr45ptvCj0Z999//8XOnTsxcOBAtG3bFmlpaTh+/HiB9XNyctChQwdERUVh8+bNuHnzJubPnw9NTU0AwNu3b9GwYUMcOHAAf/75J0aMGIFBgwbh/PnzCvfZsGEDDAwMcP78eSxcuBAzZ85EREREvjEvXLgAADhy5AgSExMRFhaGFi1awM7ODps2bZLXy8rKwubNmzFkyJBCPTsREREB5ubm0NTUzNN5k5ycnKeXM5elpSWqVKkCY2NjeZmDgwNEUcRff/2ltrZy1XkxBAUFYeDAgQCA9u3b49WrV4iMjIS7uzsSEhJQv359uLq6Ani3MOdDEydORKdOnQAAM2bMgJOTE+7evYvatWt/NPa2bdtQo0YNODk5AQD69euHoKAgtG7dOt/6R44cwYULFxAbG4uaNWsCAOzs7OTnq1SpgokTJ8p//v777xEeHo6dO3eiSZMm8nJnZ2dMnz4dAFCjRg2sWLECkZGRaNu2bZ6YFSpUAACYmZnBwsJCXj506FAEBwfDz88PAPDHH3/g9evX6NOnT4HPm56enmcidI6YAw2B35GIiKgUkGDVuY6ODho2bIiIiAh0795dXh4REYGuXbvme03z5s2xc+dOvHr1CoaGhgCA27dvQ0NDA1WrVlVbW/mvdRHFxcXhwoUL6NevHwBAS0sLffv2le9DNWrUKGzbtg0uLi6YNGlSvpNynZ2d5b+2tLQE8O5bSGG8n+QCwMCBAxEWFoYXL17kWz8mJgZVq1aVJ5kfys7Oxpw5c+Ds7AwzMzMYGhri8OHDeeadvt/m3HYXts25PD09cffuXZw7dw7Au3muffr0gYGBQYHX5Dcx+tG/D4oUl4iISG0k2kfT19cX69atw/r16xEbG4vx48cjISEBI0eOBAD4+/tj8ODB8vr9+/eHmZkZhgwZgps3b+LkyZPw8/ODl5cX9PT0VPqRvI89mkUUFBSErKwsVKlSRV4miiK0tbWRkpKCDh064OHDh/jjjz9w5MgRtGnTBqNHj8aiRYvk9bW1teW/zp1LkVOIb0Q3b97E+fPncfHiRUyePFlenp2dja1bt2LUqFF5rvnYH57AwEAsWbIES5cuRd26dWFgYIBx48YhIyNDod77bc5td2Ha/L6KFSuiS5cuCA4Ohp2dHQ4ePKh02B949xfF19dXoaxj7fy/rREREf1X9O3bF8+ePcPMmTORmJiIOnXq4ODBg7C2tgbwbjeY9zuNDA0NERERge+//x6urq4wMzNDnz59MHv2bLW2k4lmEWRlZWHjxo0IDAzMs6VAz549ERoaijFjxqBChQrw9PSEp6cnvvzyS/j5+SkkmsUVFBSEFi1a4Ndff1Uo37RpE4KCgvJNNJ2dnfHXX3/h9u3b+fZqnjp1Cl27dpX3kubk5ODOnTtwcHAodjt1dHQAvEuAPzRs2DD069cPVatWRfXq1dG8eXOl95LJZHkmQnPYnIiISg0J33Xu7e0Nb2/vfM/ltytN7dq1C1xfoS5MNIvgwIEDSElJwdChQxUm0wJAr169EBQUhOTkZDRs2BBOTk5IT0/HgQMHPilpy5WZmYlNmzZh5syZqFOnjsK5YcOGYeHChbh69Srq1auncK5ly5Zo0aIFevbsicWLF8Pe3h63bt2CIAho37497O3tsXv3bkRFRcHU1BSLFy9GUlLSJ7W5YsWK0NPTQ3h4OKpWrQpdXV355+Xh4QFjY2PMnj0bM2fOLHYMIiKiUqEYr478L2HXUBEEBQXB3d09T5IJvOvRjImJgZaWFvz9/eHs7IwWLVpAU1MT27Zt++TY+/btw7NnzxQm/eaqUaMG6tati6CgoHyv3b17Nxo1aoRvvvkGjo6OmDRpkry3cdq0aWjQoAE8PDzQqlUrWFhYoFu3bp/UVi0tLSxbtgxr1qxB5cqVFSYma2howNPTE9nZ2QpzR4iIiKjsEcSPbcJIpGLDhw/H33//jX379hXr+hZV2qi4RYWzzkj745XUpEKdt5LENVy1XpK4APCT64+SxD2Zmf9mxyUhPSdTkrj7q0s3uDXhkYkkcb/IKXgRorr9jmeSxBUh3T/3t9Kke4tdwvPrar3/K/+eKruX4bzdKrtXacGhcyoxqampuHjxIkJDQ/H7779L3RwiIqJPx6FzpTh0Xop06NABhoaG+R5z586VunmfrGvXrvj666/x3Xff5bv/JhEREZUt7NEsRdatW1fga6DKly9fwq1RvY9tZURERPTZYY+mUkw0S5H39+YkIiKiz4CE2xt9DphoEhERERUXezSV4hxNIiIiIlIL9mgSERERFZPIHk2lmGgSERERFRcTTaWYaNJnZ42+7OOV1GDba1NJ4gJAvz+l2eB5oUSbpgPAzOjZksSNqTdBkrgAkCnRbKbhCdK8EAAAZkGahRRvsvLf4aMk6GuYSRJXyrlyHRpK93mTtJhoEhERERVXDledK8NEk4iIiKi4OHSuFFedExEREZFasEeTiIiIqLjYo6kUE00iIiKiYhJFJprKcOiciIiIiNSCPZpERERExcWhc6XYo0kfZWNjg6VLl0rdDCIiotInR1TdUQYx0VQxT09PCIKAkSNH5jnn7e0NQRDg6elZ8g37BBcvXsSIESOkbgYREVGpI+aIKjvKIiaaamBlZYVt27bhzZv/exPC27dvsXXrVlSrVk3ClhVPhQoVoK+vL3UziIiI6DPDRFMNGjRogGrVqiEsLExeFhYWBisrK9SvX19eFh4eji+++AImJiYwMzND586dER8fr3CvqKgouLi4QFdXF66urti7dy8EQUBMTAwA4Pjx4xAEAZGRkXB1dYW+vj6aNWuGuLg4hfvs378fDRs2hK6uLuzs7DBjxgxkZWXJzwcEBKBatWqQyWSoXLkyfHx85OfeHzp/8OCBQnwAePHiBQRBwPHjxxXadOjQIdSvXx96enr46quvkJycjP/9739wcHCAkZERvvnmG7x+/fpTPmoiIiJpcehcKSaaajJkyBAEBwfLf16/fj28vLwU6qSlpcHX1xcXL15EZGQkNDQ00L17d+T8/9dZ/fvvv+jSpQvq1q2Ly5cvY9asWZg8eXK+8aZOnYrAwEBER0dDS0tLIdahQ4cwcOBA+Pj44ObNm1izZg1CQkIwZ84cAMCuXbuwZMkSrFmzBnfu3MHevXtRt27dT/4MAgICsGLFCkRFReHRo0fo06cPli5dii1btuCPP/5AREQEli9f/slxiIiIJJOjwqMM4qpzNRk0aBD8/f3lPYBnzpzBtm3b5L1+ANCzZ0+Fa4KCglCxYkXcvHkTderUQWhoKARBwNq1a6GrqwtHR0c8fvwYw4cPzxNvzpw5aNmyJQBgypQp6NSpE96+fQtdXV3MmTMHU6ZMwbfffgsAsLOzw6xZszBp0iRMnz4dCQkJsLCwgLu7O7S1tVGtWjU0btz4kz+D2bNno3nz5gCAoUOHwt/fH/Hx8bCzswMA9OrVC8eOHSsweSYiIqLPG3s01cTc3BydOnXChg0bEBwcjE6dOsHc3FyhTnx8PPr37w87OzsYGRnB1tYWAJCQkAAAiIuLg7OzM3R1deXXFJQAOjs7y39taWkJAEhOTgYAXLp0CTNnzoShoaH8GD58OBITE/H69Wv07t0bb968gZ2dHYYPH449e/YoDKsX1/ttqlSpEvT19eVJZm5ZbhsLkp6ejpcvXyocGWL2J7eNiIhIFbgYSDn2aKqRl5cXxowZAwD49ddf85zv0qULrKyssHbtWlSuXBk5OTmoU6cOMjIyALx724AgCArXFPQGAm1tbfmvc6/JHYLPycnBjBkz0KNHjzzX6erqwsrKCnFxcYiIiMCRI0fg7e2Nn3/+GSdOnFC4LwBoaGjkaUdmZmah2vThvQRBkLexIPPmzcOMGTMUyrxN7THGrIbS64iIiEpEGU0QVYU9mmrUvn17ZGRkICMjAx4eHgrnnj17htjYWPz4449o06YNHBwckJKSolCndu3auHbtGtLT0+Vl0dHRRW5HgwYNEBcXB3t7+zxHbuKop6eHr7/+GsuWLcPx48dx9uxZXL9+Pc+9KlSoAABITEyUl72/MEjV/P39kZqaqnCMKG/38QuJiIhIcuzRVCNNTU3ExsbKf/0+U1NTmJmZ4bfffoOlpSUSEhIwZcoUhTr9+/fH1KlTMWLECEyZMgUJCQlYtGgRAOTp6VTmp59+QufOnWFlZYXevXtDQ0MD165dw/Xr1zF79myEhIQgOzsbTZo0gb6+PjZt2gQ9PT1YW1vnuZeenh6aNm2K+fPnw8bGBk+fPsWPP/5Y1I+m0GQyGWQymUKZjqBZQG0iIqISVkYX8agKezTVzMjICEZGRnnKNTQ0sG3bNly6dAl16tTB+PHj8fPPP+e5dv/+/YiJiYGLiwumTp2Kn376CQAU5m1+jIeHBw4cOICIiAg0atQITZs2xeLFi+WJpImJCdauXYvmzZvD2dkZkZGR2L9/P8zMzPK93/r165GZmQlXV1eMHTsWs2fPLnRbiIiIyhLO0VROEAua9EelUmhoKIYMGYLU1FTo6elJ3RxJxNboKEncnRmmksQFgH76zySJG/ymvCRxAWBmtDRfYGLqTZAkLgBk5kjz3X+u9ltJ4gLALIkG1t5kSjegd1tDmv92S9mz1MHxkWSxK0ScUOv9U3q3Utm9THceV9m9SgsOnZdyGzduhJ2dHapUqYKrV69i8uTJ6NOnz382ySQiIipVOHSuFBPNUi4pKQk//fQTkpKSYGlpid69e8s3WiciIiJpldUhb1VholnKTZo0CZMmTZK6GURERJQf9mgqxcVARERERKQW7NEkIiIiKiaRPZpKsUeTiIiIqLhyVHgU0cqVK2FrawtdXV00bNgQp06dKtR1Z86cgZaWFlxcXIoetIiYaBIRERF9ZrZv345x48Zh6tSpuHLlCr788kt06NABCQkJSq9LTU3F4MGD0aZNmxJpJxNNIiIiomISc1R3FMXixYsxdOhQDBs2DA4ODli6dCmsrKywatUqpdd999136N+/P9zc3D7hqQuPiSYRERFRcalw6Dw9PR0vX75UONLT0/OEzMjIwKVLl9CuXTuF8nbt2iEqKqrApgYHByM+Ph7Tp0//xIcuPC4Gos+OppY0M68Ppj2WJC4ANHxuKUnck1pJksQFpHtDj8vVQEniAkD2/SuSxI3xKLl/dD5Ua3IjSeIuXJkhSVwAGOv6lyRxdb9uKklcAMiM+key2J+TefPmYcaMGQpl06dPR0BAgELZ06dPkZ2djUqVKimUV6pUCUlJ+f93+86dO5gyZQpOnToFLa2SS/+YaBIREREVkypXnfv7+8PX11ehTCaTFVhfEATFtohinjIAyM7ORv/+/TFjxgzUrFlTNY0tJCaaRERERMWkykRTJpMpTSxzmZubQ1NTM0/vZXJycp5eTgD4999/ER0djStXrmDMmDEAgJycHIiiCC0tLRw+fBhfffWVah7iA0w0iYiIiIpJin00dXR00LBhQ0RERKB79+7y8oiICHTt2jVPfSMjI1y/fl2hbOXKlTh69Ch27doFW1tbtbWViSYRERHRZ8bX1xeDBg2Cq6sr3Nzc8NtvvyEhIQEjR44E8G4Y/vHjx9i4cSM0NDRQp04dhesrVqwIXV3dPOWqxkSTiIiIqLjEvHMiS0Lfvn3x7NkzzJw5E4mJiahTpw4OHjwIa2trAEBiYuJH99QsCUw0iYiIiIpJyldQent7w9vbO99zISEhSq8NCAjIs5pdHbiPJhERERGpBRPNUsTGxgZLly5Vyb0CAgJK5B2mhSEIAvbu3St1M4iIiFROzBFUdpRFTDTzIQiC0sPT0/Oj16s7sbKxsZG3R19fH3Xq1MGaNWvUGpOIiIgUSfUKys8F52jmIzExUf7r7du346effkJcXJy8TE9PT4pm5TFz5kwMHz4cr169QkhICEaOHAkTExP07dtX6qYRERERsUczPxYWFvLD2NgYgiAolG3ZsgXVq1eHjo4OatWqhU2bNsmvtbGxAQB0794dgiDIf46Pj0fXrl1RqVIlGBoaolGjRjhy5MgntbNcuXKwsLCAvb09Zs+ejRo1auTpSd20aRNsbGxgbGyMfv364d9//5WfE0URCxcuhJ2dHfT09FCvXj3s2rVLfv748eMQBAGRkZFwdXWFvr4+mjVrppB0A8CqVasK/Dw+lJGRgTFjxsDS0hK6urqwsbHBvHnzPulzICIikoooCio7yiImmkW0Z88ejB07FhMmTMCff/6J7777DkOGDMGxY8cAABcvXgTw7sX1iYmJ8p9fvXqFjh074siRI7hy5Qo8PDzQpUsXlW49oKuri8zMTPnP8fHx2Lt3Lw4cOIADBw7gxIkTmD9/vvz8jz/+iODgYKxatQo3btzA+PHjMXDgQJw4cULhvlOnTkVgYCCio6OhpaUFLy+vQn8eH1q2bBn27duHHTt2IC4uDps3b5Yn40RERJ8bDp0rx6HzIlq0aBE8PT3l2wn4+vri3LlzWLRoEVq3bo0KFSoAAExMTGBhYSG/rl69eqhXr57859mzZ2PPnj3Yt2+f/HVQxZWVlYXNmzfj+vXrGDVqlLw8JycHISEhKFeuHABg0KBBiIyMxJw5c5CWlobFixfj6NGjcHNzAwDY2dnh9OnTWLNmDVq2bCm/z5w5c+Q/T5kyBZ06dcLbt2+hq6v70c/jQwkJCahRowa++OILCIIg3++rIOnp6UhPT1coy8jJgY4GvyMRERGVdvzXuohiY2PRvHlzhbLmzZsjNjZW6XVpaWmYNGkSHB0dYWJiAkNDQ9y6deuTejQnT54MQ0ND6OnpYfTo0fDz88N3330nP29jYyNPMgHA0tISycnJAICbN2/i7du3aNu2LQwNDeXHxo0bER8frxDH2dlZ4R4A5Pcp6ufh6emJmJgY1KpVCz4+Pjh8+LDSZ5w3bx6MjY0VjjXP7n3soyEiIioRXHWuHHs0i0EQFP8wiKKYp+xDfn5+OHToEBYtWgR7e3vo6emhV69eyMjIKHY7/Pz84OnpCX19fVhaWuZpg7a2dp525+S865vP/f8//vgDVapUUagnk8kKvE9ujNzr3y/LpezzaNCgAe7fv4///e9/OHLkCPr06QN3d3eFuaHv8/f3h6+vr0JZQqNe+dYlIiIqaaIodQtKNyaaReTg4IDTp09j8ODB8rKoqCg4ODjIf9bW1kZ2drbCdadOnYKnpye6d+8O4N2czQcPHnxSW8zNzWFvb1+sax0dHSGTyZCQkKAwTF5Uhfk8PmRkZIS+ffuib9++6NWrF9q3b4/nz5+jfPnyeerKZLI8iS+HzYmIqLQoqz2RqsJEs4j8/PzQp08fNGjQAG3atMH+/fsRFhamsILcxsYGkZGRaN68OWQyGUxNTWFvb4+wsDB06dIFgiBg2rRpCr2CJa1cuXKYOHEixo8fj5ycHHzxxRd4+fIloqKiYGhoiG+//bZQ9ynM5/G+JUuWwNLSEi4uLtDQ0MDOnTthYWEBExMTFT4dERERlQZMNIuoW7du+OWXX/Dzzz/Dx8cHtra2CA4ORqtWreR1AgMD4evri7Vr16JKlSp48OABlixZAi8vLzRr1gzm5uaYPHkyXr58Kd2DAJg1axYqVqyIefPm4d69ezAxMUGDBg3www8/FPoehfk83mdoaIgFCxbgzp070NTURKNGjXDw4EFosJeSiIg+Q+zRVE4QRc4uoM/LbYf2ksQdnPpWkrgAMC3bUpK4c7X+liQuACyFsSRxXa4GShIXALLvX5Ekrr3HdEniAsDtyY0kibtwZfHnx3+qsa6PJYmr+3VTSeICQGaUNH+2AcBozSG13v9+vbYqu5ft1QiV3au0YDcSEREREakFE81SKDQ0VGHLofcPJycnqZtHRERE/x+3N1KOczRLoa+//hpNmjTJ99yHWxYRERGRdMrqqyNVhYlmKVSuXDmFjdaJiIiIPkdMNImIiIiKqay+o1xVmGgSERERFVMOh86V4mIgIiIiIlIL9mgSERERFRMXAynHRJM+O2lpso9XUoNnmf9IEhcAMjUrSxI3PSdTkrgAkCnRgItUm6YDgKZtfUni/vM6VZK4AABDA0nCPhSkezObtp2pNIEtqkoTFwAg3d8rdSur2xKpChNNIiIiomLi+xWV4xxNIiIiIlIL9mgSERERFROHzpVjoklERERUTNzeSDkOnRMRERGRWrBHk4iIiKiYuL2Rckw0iYiIiIqJq86V49B5KdCqVSuMGzdO6mYU2YMHDyAIAmJiYgqsc/z4cQiCgBcvXpRYu4iIiKh0YKJZQjw9PSEIQp7j7t27Ujet2KysrJCYmIg6depI3RQiIiJJ5IiCyo6yiEPnJah9+/YIDg5WKKtQoYJErfl0mpqasLCwkLoZREREkuEcTeXYo1mCZDIZLCwsFA5NTc089TZv3gxXV1eUK1cOFhYW6N+/P5KTkwEAOTk5qFq1KlavXq1wzeXLlyEIAu7duwcAWLx4MerWrQsDAwNYWVnB29sbr169ktcPCQmBiYkJDh06BAcHBxgaGqJ9+/ZITEyU18nJycHMmTNRtWpVyGQyuLi4IDw8XH4+v6HzgwcPombNmtDT00Pr1q3x4MEDhXY+fPgQXbp0gampKQwMDODk5ISDBw8W+zMlIiKi0ouJZimUkZGBWbNm4erVq9i7dy/u378PT09PAICGhgb69euH0NBQhWu2bNkCNzc32NnZyestW7YMf/75JzZs2ICjR49i0qRJCte8fv0aixYtwqZNm3Dy5EkkJCRg4sSJ8vO//PILAgMDsWjRIly7dg0eHh74+uuvcefOnXzb/ejRI/To0QMdO3ZETEwMhg0bhilTpijUGT16NNLT03Hy5Elcv34dCxYsgKGh4ad+ZERERJIQRdUdZRGHzkvQgQMHFJKqDh06YOfOnXnqeXl5yX9tZ2eHZcuWoXHjxnj16hUMDQ0xYMAALF68GA8fPoS1tTVycnKwbds2/PDDD/Lr3l9cZGtri1mzZmHUqFFYuXKlvDwzMxOrV69G9erVAQBjxozBzJkz5ecXLVqEyZMno1+/fgCABQsW4NixY1i6dCl+/fXXPO1etWoV7OzssGTJEgiCgFq1asmTyVwJCQno2bMn6tatK38+ZdLT05Genq5QliFmQ0fI2xNMRERU0srq3EpVYY9mCWrdujViYmLkx7Jly/Ktd+XKFXTt2hXW1tYoV64cWrVqBeBdkgYA9evXR+3atbF161YAwIkTJ5CcnIw+ffrI73Hs2DG0bdsWVapUQbly5TB48GA8e/YMaWlp8jr6+vryJBMALC0t5UP0L1++xJMnT9C8eXOFtjVv3hyxsbH5tjs2NhZNmzaFIPzfXzo3NzeFOj4+Ppg9ezaaN2+O6dOn49q1a0o/s3nz5sHY2FjhWP8y/x5VIiKikiaKgsqOsoiJZgkyMDCAvb29/LC0tMxTJy0tDe3atYOhoSE2b96MixcvYs+ePQDeDannGjBgALZs2QLg3bC5h4cHzM3NAbybB9mxY0fUqVMHu3fvxqVLl+Q9kJmZmfJ7aGtrK8QWBAHiB3337yeNACCKYp6y9899zLBhw3Dv3j0MGjQI169fh6urK5YvX15gfX9/f6SmpiocXkY1PhqHiIiorFu5ciVsbW2hq6uLhg0b4tSpUwXWDQsLQ9u2bVGhQgUYGRnBzc0Nhw4dUnsbmWiWMrdu3cLTp08xf/58fPnll6hdu7a8l/F9/fv3x/Xr13Hp0iXs2rULAwYMkJ+Ljo5GVlYWAgMD0bRpU9SsWRNPnjwpUjuMjIxQuXJlnD59WqE8KioKDg4O+V7j6OiIc+fOKZR9+DPwblukkSNHIiwsDBMmTMDatWsLbIdMJoORkZHCwWFzIiIqLaTa3mj79u0YN24cpk6diitXruDLL79Ehw4d5KOfHzp58iTatm2LgwcP4tKlS2jdujW6dOmCK1euqOJjKBATzVKmWrVq0NHRwfLly3Hv3j3s27cPs2bNylPP1tYWzZo1w9ChQ5GVlYWuXbvKz1WvXh1ZWVnye2zatCnPKvXC8PPzw4IFC7B9+3bExcVhypQpiImJwdixY/OtP3LkSMTHx8PX1xdxcXHYsmULQkJCFOqMGzcOhw4dwv3793H58mUcPXq0wMSViIiotBNVeBTF4sWLMXToUAwbNgwODg5YunQprKyssGrVqnzrL126FJMmTUKjRo1Qo0YNzJ07FzVq1MD+/fuL+shFwkSzlKlQoQJCQkKwc+dOODo6Yv78+Vi0aFG+dQcMGICrV6+iR48e0NPTk5e7uLhg8eLFWLBgAerUqYPQ0FDMmzevyG3x8fHBhAkTMGHCBNStWxfh4eHYt28fatTIf+i6WrVq2L17N/bv34969eph9erVmDt3rkKd7OxsjB49Gg4ODmjfvj1q1aqlsECJiIjovyo9PR0vX75UOD5cEAu8m0p36dIltGvXTqG8Xbt2iIqKKlSsnJwc/PvvvyhfvrxK2l4QQSzMxDqiUuRKta4fr6QGfd78JUlcAPhZs5YkcWcLjySJCwDLUFGSuA329ZckLgBo2taXJK5h1ZaSxAWAlEBp/j6P/jnx45XUZHnvHEniarq3kSQuAGSGqbfXTBmjNeqdhxhl2VNl9zr8XV3MmDFDoWz69OkICAhQKHvy5AmqVKmCM2fOoFmzZvLyuXPnYsOGDYiLi/torJ9//hnz589HbGwsKlZU339vub0RERERUTGpcrW4v78/fH19FcpkMlmB9YuyYPd9W7duRUBAAH7//Xe1JpkAE00iIiKiUkEmkylNLHOZm5tDU1MTSUlJCuXJycmoVKmS0mu3b9+OoUOHYufOnXB3d/+k9hYG52gSERERFVOOCo/C0tHRQcOGDREREaFQHhERoTCU/qGtW7fC09MTW7ZsQadOnYoQsfjYo0lERERUTCKk2Wjd19cXgwYNgqurK9zc3PDbb78hISEBI0eOBPBuGP7x48fYuHEjgHdJ5uDBg/HLL7+gadOm8t5QPT09GBsbq62dTDSJiIiIPjN9+/bFs2fPMHPmTCQmJqJOnTo4ePAgrK2tAQCJiYkKe2quWbMGWVlZGD16NEaPHi0v//bbb/NsRahKTDSJiIiIiilHwr17vL294e3tne+5D5PH48ePq79B+WCiSURERFRMORINnX8umGgSERERFZNUczQ/F1x1TkRERERqwR5N+uys1NCRJO7/KphLEhcAEp9nSBJ3f3Xp/hMxPOGtJHFjPKZLEhcA/nmdKkncV3+dkCQuADSuM0iSuHNEK0niAkDvbdL8PketWiJJXABwNraRLPYpNd9fmvc8fT6YaBIREREVE4fOlePQORERERGpBXs0iYiIiIqJQ+fKMdEkIiIiKiYmmspx6JyIiIiI1II9mkRERETFxMVAyjHRJCIiIiqmHOaZSpXaofNbt26hadOm0NXVhYuLCx48eABBEBATEyN104osICAALi4uSut4enqiW7duKol3/PhxCIKAFy9eqOR+n6JVq1YYN26c1M0gIiIiCRQp0fT09IQgCJg/f75C+d69eyEIqk3pp0+fDgMDA8TFxSEyMlKl9y5pEydOVOkz5P4+CIIAbW1t2NnZYeLEiUhLS1NZDCIiIvq4HAgqO8qiIvdo6urqYsGCBUhJSVFHe+Ti4+PxxRdfwNraGmZmZmqNpW6GhoYqf4b27dsjMTER9+7dw+zZs7Fy5UpMnDhRpTGIiIhIOVGFR1lU5ETT3d0dFhYWmDdvXoF1du/eDScnJ8hkMtjY2CAwMFDhvI2NDebOnQsvLy+UK1cO1apVw2+//SY/LwgCLl26hJkzZ0IQBAQEBOSJkZ2djaFDh8LW1hZ6enqoVasWfvnlF/n5Q4cOQVdXN8/wsY+PD1q2bAkAePbsGb755htUrVoV+vr6qFu3LrZu3apQv1WrVvDx8cGkSZNQvnx5WFhY5GlPQkICunbtCkNDQxgZGaFPnz74+++/5ec/HDrPzs6Gr68vTExMYGZmhkmTJkEUi/ZHTCaTwcLCAlZWVujfvz8GDBiAvXv3KtS5dOkSXF1doa+vj2bNmiEuLk7h/P79+9GwYUPo6urCzs4OM2bMQFZWlvy8IAhYt24dunfvDn19fdSoUQP79u1TuMeJEyfQuHFjyGQyWFpaYsqUKQr3+NDKlStRo0YN6OrqolKlSujVq1eRnpuIiKg0yVHhURYVOdHU1NTE3LlzsXz5cvz11195zl+6dAl9+vRBv379cP36dQQEBGDatGkICQlRqBcYGAhXV1dcuXIF3t7eGDVqFG7dugUASExMhJOTEyZMmIDExMR8e+pycnJQtWpV7NixAzdv3sRPP/2EH374ATt27ADwLiE2MTHB7t275ddkZ2djx44dGDBgAADg7du3aNiwIQ4cOIA///wTI0aMwKBBg3D+/HmFWBs2bICBgQHOnz+PhQsXYubMmYiIiAAAiKKIbt264fnz5zhx4gQiIiIQHx+Pvn37FvgZBgYGYv369QgKCsLp06fx/Plz7NmzpxCffsH09PSQmZmpUDZ16lQEBgYiOjoaWlpa8PLykp87dOgQBg4cCB8fH9y8eRNr1qxBSEgI5syZo3CPGTNmoE+fPrh27Ro6duyIAQMG4Pnz5wCAx48fo2PHjmjUqBGuXr2KVatWISgoCLNnz863jdHR0fDx8cHMmTMRFxeH8PBwtGjR4pOem4iIiEqvYi0G6t69O1xcXDB9+vQ85xYvXow2bdpg2rRpqFmzJjw9PTFmzBj8/PPPCvU6duwIb29v2NvbY/LkyTA3N8fx48cBABYWFtDS0oKhoSEsLCxgaGiYJ462tjZmzJiBRo0awdbWFgMGDICnp6c80dTU1ETfvn2xZcsW+TWRkZFISUlB7969AQBVqlTBxIkT4eLiAjs7O3z//ffw8PDAzp07FWI5Oztj+vTpqFGjBgYPHgxXV1f5nMsjR47g2rVr2LJlCxo2bIgmTZpg06ZNOHHiBC5evJjv57d06VL4+/ujZ8+ecHBwwOrVq2FsbFzITz+vCxcuYMuWLWjTpo1C+Zw5c9CyZUs4OjpiypQpiIqKwtu3b+XnpkyZgm+//RZ2dnZo27YtZs2ahTVr1ijcw9PTE9988w3s7e0xd+5cpKWl4cKFCwDe9U5aWVlhxYoVqF27Nrp164YZM2YgMDAQOTl5v5slJCTAwMAAnTt3hrW1NerXrw8fHx+lz5aeno6XL18qHNlidrE/KyIiIlXKEQSVHWVRsVedL1iwABs2bMDNmzcVymNjY9G8eXOFsubNm+POnTvIzv6/BMHZ2Vn+a0EQYGFhgeTk5CK1YfXq1XB1dUWFChVgaGiItWvXIiEhQX5+wIABOH78OJ48eQIACA0NRceOHWFqagrgXQ/nnDlz4OzsDDMzMxgaGuLw4cMK9/iwrQBgaWkpb2tsbCysrKxgZWUlP+/o6AgTExPExsbmaXNqaioSExPh5uYmL9PS0oKrq2uRnv3AgQMwNDSErq4u3Nzc0KJFCyxfvrzAdltaWgKAvN25UxMMDQ3lx/Dhw5GYmIjXr1/new8DAwOUK1dO4dnd3NwUFoI1b94cr169yre3u23btrC2toadnR0GDRqE0NBQhVj5mTdvHoyNjRWOmNRbhf2YiIiI1IpzNJUrdqLZokULeHh44IcfflAoF0Uxzwr0/OYfamtrK/wsCEK+vWAF2bFjB8aPHw8vLy8cPnwYMTExGDJkCDIyMuR1GjdujOrVq2Pbtm148+YN9uzZg4EDB8rPBwYGYsmSJZg0aRKOHj2KmJgYeHh4KNzjY23N73mVlatK69atERMTg7i4OLx9+xZhYWGoWLFige3ObUtuu3NycjBjxgzExMTIj+vXr+POnTvQ1dXN9x6591H27Lm/1/k9e7ly5XD58mVs3boVlpaW+Omnn1CvXj2l2zD5+/sjNTVV4XAxrv2xj4eIiIhKgU/asH3+/PlwcXFBzZo15WWOjo44ffq0Qr2oqCjUrFkTmpqanxJOwalTp9CsWTN4e3vLy+Lj4/PU69+/P0JDQ1G1alVoaGigU6dOCvfo2rWrPPnMycnBnTt34ODgUOh2ODo6IiEhAY8ePZL3at68eROpqan53sfY2BiWlpY4d+6cfH5iVlYWLl26hAYNGhQ6roGBAezt7Qtd/0MNGjRAXFzcJ93D0dERu3fvVkg4o6KiUK5cOVSpUiXfa7S0tODu7g53d3dMnz4dJiYmOHr0KHr06JFvfZlMBplMplCmKajuzxEREdGnKKuLeFTlkzZsr1u3LgYMGKAwZDthwgRERkZi1qxZuH37NjZs2IAVK1aofOsde3t7REdH49ChQ7h9+zamTZuW75zIAQMG4PLly5gzZw569eql0Ftnb2+PiIgIREVFITY2Ft999x2SkpKK1A53d3c4OzvL41y4cAGDBw9Gy5YtCxwOHzt2LObPn489e/bg1q1b8Pb2LvHN1X/66Sds3LgRAQEBuHHjBmJjY7F9+3b8+OOPhb6Ht7c3Hj16hO+//x63bt3C77//junTp8PX1xcaGnn/aB04cADLli1DTEwMHj58iI0bNyInJwe1atVS5aMRERGVmBxBdUdZ9MlvBpo1a5bC0HiDBg2wY8cObNu2DXXq1MFPP/2EmTNnwtPT81NDKRg5ciR69OiBvn37okmTJnj27JlC72auGjVqoFGjRrh27Zp8tXmuadOmoUGDBvDw8ECrVq1gYWFR5LfzCIKAvXv3wtTUFC1atIC7uzvs7Oywffv2Aq+ZMGECBg8eDE9PT7i5uaFcuXLo3r17keJ+Kg8PDxw4cAARERFo1KgRmjZtisWLF8Pa2rrQ96hSpQoOHjyICxcuoF69ehg5ciSGDh1aYLJqYmKCsLAwfPXVV/JFUFu3boWTk5OqHouIiIhKEUEs6gaORBIbbtNbkriT9V9KEhcAEp+XkySuvf0zSeICwPAEfUnixrx6KElcAPjndaokcV/9dUKSuADQuM4gSeLOEa0+XklNlutI8/sclXJbkrgA4GxsI1nsU4/V+3bB0MoDP16pkAY82ayye5UWnzRHk4iIiOi/jL11yn3y0DmpVkJCgsKWQx8eH269RERERFRasUezlKlcuTJiYmKUniciIqLSoawu4lEVJpqljJaW1idtOUREREQlh9sbKcdEk4iIiKiYOEdTOc7RJCIiIiK1YI8mERERUTFxjqZyTDSJiIiIiolzNJVjokmfne5vpHnX+RRR9vFKatJSW/fjldRg1SMTSeICwCyJ/vNda3IjSeICAAwNJAkr1abpAHDhz02SxA1s+JMkcQFguYE0f7YrdXeQJC4ApES9kSw2SYuJJhEREVExsUdTOSaaRERERMUkco6mUlx1TkRERERqwR5NIiIiomLi0LlyTDSJiIiIiomJpnIcOiciIiL6DK1cuRK2trbQ1dVFw4YNcerUKaX1T5w4gYYNG0JXVxd2dnZYvXq12tvIRJOIiIiomEQVHkWxfft2jBs3DlOnTsWVK1fw5ZdfokOHDkhISMi3/v3799GxY0d8+eWXuHLlCn744Qf4+Phg9+7dRX3kImGiKQFPT09069ZN6mZ8sgcPHkAQBMTExEjdFCIiIknkCKo70tPT8fLlS4UjPT0937iLFy/G0KFDMWzYMDg4OGDp0qWwsrLCqlWr8q2/evVqVKtWDUuXLoWDgwOGDRsGLy8vLFq0SJ0fT9lIND09PSEIAgRBgLa2Nuzs7DBx4kSkpaVJ2q6ynohZWVkhMTERderUkbopREREkshR4TFv3jwYGxsrHPPmzcsTMyMjA5cuXUK7du0Uytu1a4eoqKh823n27Nk89T08PBAdHY3MzMxiPv3HlZnFQO3bt0dwcDAyMzNx6tQpDBs2DGlpaXky+8zMTGhra0vUyrJFU1MTFhYWUjeDiIioTPD394evr69CmUyW9610T58+RXZ2NipVqqRQXqlSJSQlJeV776SkpHzrZ2Vl4enTp7C0tPzE1uevTPRoAu9+IywsLGBlZYX+/ftjwIAB2Lt3LwICAuDi4oL169fDzs4OMpkMoigiISEBXbt2haGhIYyMjNCnTx/8/fff8vvFx8eja9euqFSpEgwNDdGoUSMcOXJEIaaNjQ3mzp0LLy8vlCtXDtWqVcNvv/0mP29rawsAqF+/PgRBQKtWrRSuX7RoESwtLWFmZobRo0crfKNISUnB4MGDYWpqCn19fXTo0AF37txRuP7MmTNo2bIl9PX1YWpqCg8PD6SkpGDjxo0wMzPL093es2dPDB48WGXP92GP7fHjxyEIAiIjI+Hq6gp9fX00a9YMcXFx8muuXr2K1q1bo1y5cjAyMkLDhg0RHR2t9PeWiIiotFJlj6ZMJoORkZHCkV+imUsQFHeLF0UxT9nH6udXrkplJtH8kJ6enjxxu3v3Lnbs2IHdu3fLk6Ju3brh+fPnOHHiBCIiIhAfH4++ffvKr3/16hU6duyII0eO4MqVK/Dw8ECXLl3yTLINDAyEq6srrly5Am9vb4waNQq3bt0CAFy4cAEAcOTIESQmJiIsLEx+3bFjxxAfH49jx45hw4YNCAkJQUhIiPy8p6cnoqOjsW/fPpw9exaiKKJjx47yZ4qJiUGbNm3g5OSEs2fP4vTp0+jSpQuys7PRu3dvZGdnY9++ffL7PX36FAcOHMCQIUNU9nwFmTp1KgIDAxEdHQ0tLS14eXnJzw0YMABVq1bFxYsXcenSJUyZMoU9zERE9NmSYjGQubk5NDU18/ReJicn5+m1zGVhYZFvfS0tLZiZmRUhetGUmaHz9124cAFbtmxBmzZtALyby7Bp0yZUqFABABAREYFr167h/v37sLKyAgBs2rQJTk5OuHjxIho1aoR69eqhXr168nvOnj0be/bswb59+zBmzBh5eceOHeHt7Q0AmDx5MpYsWYLjx4+jdu3a8nhmZmZ5hphNTU2xYsUKaGpqonbt2ujUqRMiIyMxfPhw3LlzB/v27cOZM2fQrFkzAEBoaCisrKywd+9e9O7dGwsXLoSrqytWrlwpv6eTk5P81/3790dwcDB69+4tv75q1aryXlVVPF9B5syZg5YtWwIApkyZgk6dOuHt27fQ1dVFQkIC/Pz85NfXqFGjwPsA7yZGf9gzmylmQ1vQVHodERFRWaWjo4OGDRsiIiIC3bt3l5dHRESga9eu+V7j5uaG/fv3K5QdPnwYrq6uau3wKTM9mgcOHIChoSF0dXXh5uaGFi1aYPny5QAAa2tredIHALGxsbCyspInmQDg6OgIExMTxMbGAgDS0tIwadIkebmhoSFu3bqVp8fP2dlZ/mtBEGBhYYHk5OSPttfJyQmamv+XLFlaWsqvi42NhZaWFpo0aSI/b2Zmhlq1asnbl9ujWZDhw4fj8OHDePz4MQAgODhYvmhK3c/3/jW5cz5yr/H19cWwYcPg7u6O+fPnIz4+Xum98psYvSMtVuk1REREJUWVq86LwtfXF+vWrcP69esRGxuL8ePHIyEhASNHjgTwbr5n7nQ5ABg5ciQePnwIX19fxMbGYv369QgKCsLEiRNV+XHkUWYSzdatWyMmJgZxcXF4+/YtwsLCULFiRQCAgYGBQt2C5jC8X+7n54fdu3djzpw5OHXqFGJiYlC3bl1kZGQoXPPhtwBBEJCT8/H3BCi7LnfOhLL26enpKb1//fr1Ua9ePWzcuBGXL1/G9evX4enpKT+vzud7/5rc9uZeExAQgBs3bqBTp044evQoHB0dsWfPngLv5e/vj9TUVIWjj4GD0vhEREQlRZVzNIuib9++WLp0KWbOnAkXFxecPHkSBw8ehLW1NQAgMTFRofPI1tYWBw8exPHjx+Hi4oJZs2Zh2bJl6NmzZ7GfvTDKzNC5gYEB7O3tC1XX0dERCQkJePTokbxX8+bNm0hNTYWDw7sk5tSpU/D09JR3Sb969QoPHjwoUpt0dHQAANnZ2UW6ztHREVlZWTh//rx86PzZs2e4ffu2vH3Ozs6IjIzEjBkzCrzPsGHDsGTJEjx+/Bju7u4KPbiqeL7iqlmzJmrWrInx48fjm2++QXBwsELX//tkMlmeidAcNiciIgK8vb3l09s+9P66j1wtW7bE5cuX1dwqRWWmR7Mo3N3d4ezsjAEDBuDy5cu4cOECBg8ejJYtW8LV1RUAYG9vj7CwMMTExODq1avo379/oXoq31exYkXo6ekhPDwcf//9N1JTUwt1XY0aNdC1a1cMHz4cp0+fxtWrVzFw4EBUqVJFPvfC398fFy9ehLe3N65du4Zbt25h1apVePr0qfw+AwYMwOPHj7F27VqFBTmqer6ievPmDcaMGYPjx4/j4cOHOHPmDC5evChPnomIiD43Ur0Z6HPxn0w0BUHA3r17YWpqihYtWsDd3R12dnbYvn27vM6SJUtgamqKZs2aoUuXLvDw8ECDBg2KFEdLSwvLli3DmjVrULly5QIn6OYnODgYDRs2ROfOneHm5gZRFHHw4EH5sHTNmjVx+PBhXL16FY0bN4abmxt+//13aGn9Xye1kZERevbsCUNDwzxvIlLF8xWVpqYmnj17hsGDB6NmzZro06cPOnTooLRXloiIqDTLgaiyoywSxIImBFKZ0LZtWzg4OGDZsmVSN0VlDlbqJ0nc9bqvJYkLAC1zjCSJe1ZDurdr+Ynq7WEvSK3R5SWJCwAwNPh4HTVoPuuKJHEB4MKfmySJG9jwJ0niAkAvg38kiVvJXbqt5FKi3kgWu1p0pFrvP8d6gMruNfVhqMruVVqUmTmapOj58+c4fPgwjh49ihUrVkjdHCIiojJJmq/Enw8mmmVUgwYNkJKSggULFqBWrVpSN4eIiKhM4rCwckw0y6iSWkFORET0X8YeTeX+k4uBiIiIiEj92KNJREREVExFfaPPfw0TTSIiIqJiKqvbEqkKh86JiIiISC3Yo0lERERUTOzPVI6JJhEREVExcdW5ckw06bPTYnC6JHGr7pTue6uG9gtJ4mpmmkgSFwDeZEnzJpGFKzMkiQsAD4WXksSdI1pJEheQ7g09Ey7NlCQuAJhU+0qSuBVDjSWJCwBHq1aULDZJi4kmERERUTFxMZByTDSJiIiIiolppnJcdU5EREREasEeTSIiIqJi4mIg5ZhoEhERERUT52gqx0STiIiIqJiYZirHOZpEREREpBZMNIspICAALi4uUjej1GjVqhXGjRsndTOIiIhKVI4Kj7LoP5toJiUl4fvvv4ednR1kMhmsrKzQpUsXREZGSt00uePHj0MQBLx48aLQ13h6eqJbt25qa1NBwsLCMGvWLPnPNjY2WLp0aYm3g4iIqCSJKvxfWfSfnKP54MEDNG/eHCYmJli4cCGcnZ2RmZmJQ4cOYfTo0bh161aJtCMzMxPa2tolEkvdypcvL3UTiIiIqJT5T/Zoent7QxAEXLhwAb169ULNmjXh5OQEX19fnDt3DgCQkJCArl27wtDQEEZGRujTpw/+/vvvAu+Zk5ODmTNnomrVqpDJZHBxcUF4eLj8/IMHDyAIAnbs2IFWrVpBV1cXmzdvLlK7Q0JCYGJigkOHDsHBwQGGhoZo3749EhMTAbwbzt+wYQN+//13CIIAQRBw/PhxAMDjx4/Rt29fmJqawszMDF27dsWDBw/k987tCV20aBEsLS1hZmaG0aNHIzMzU15n5cqVqFGjBnR1dVGpUiX06tVLfu79ofNWrVrh4cOHGD9+vLwdaWlpMDIywq5duxSeaf/+/TAwMMC///5bpM+CiIioNODQuXL/uUTz+fPnCA8Px+jRo2FgYJDnvImJCURRRLdu3fD8+XOcOHECERERiI+PR9++fQu87y+//ILAwEAsWrQI165dg4eHB77++mvcuXNHod7kyZPh4+OD2NhYeHh4FLn9r1+/xqJFi7Bp0yacPHkSCQkJmDhxIgBg4sSJ6NOnjzz5TExMRLNmzfD69Wu0bt0ahoaGOHnyJE6fPi1PUjMy/u+9zseOHUN8fDyOHTuGDRs2ICQkBCEhIQCA6Oho+Pj4YObMmYiLi0N4eDhatGiRbxvDwsJQtWpVzJw5U94OAwMD9OvXD8HBwQp1g4OD0atXL5QrV67InwUREZHUciCq7CiL/nND53fv3oUoiqhdu3aBdY4cOYJr167h/v37sLKyAgBs2rQJTk5OuHjxIho1apTnmkWLFmHy5Mno168fAGDBggU4duwYli5dil9//VVeb9y4cejRo0ex25+ZmYnVq1ejevXqAIAxY8Zg5syZAABDQ0Po6ekhPT0dFhYW8ms2b94MDQ0NrFu3DoIgAHiX4JmYmOD48eNo164dAMDU1BQrVqyApqYmateujU6dOiEyMhLDhw9HQkICDAwM0LlzZ5QrVw7W1taoX79+vm0sX748NDU1Ua5cOYV2DBs2DM2aNcOTJ09QuXJlPH36FAcOHEBERESBz5ueno709HTFzyArGzItzWJ8ekRERFSS/nM9mqL47htDbsKVn9jYWFhZWcmTTABwdHSEiYkJYmNj89R/+fIlnjx5gubNmyuUN2/ePE99V1fXT2k+9PX15UkmAFhaWiI5OVnpNZcuXcLdu3dRrlw5GBoawtDQEOXLl8fbt28RHx8vr+fk5ARNzf9L4N6/d9u2bWFtbQ07OzsMGjQIoaGheP36dZHa3rhxYzg5OWHjxo0A3iXv1apVK7BnFADmzZsHY2NjhSPw/O0ixSUiIlIXUYVHWfSfSzRr1KgBQRDyTRhziaKYbyJaUHmuD8/lVz+/4fqi+HDxkCAI8uS5IDk5OWjYsCFiYmIUjtu3b6N///5K752T827WSLly5XD58mVs3boVlpaW+Omnn1CvXr0irYgH3vVq5g6fBwcHY8iQIUo/U39/f6SmpiocE5rULFJMIiIideHQuXL/uUSzfPny8PDwwK+//oq0tLQ851+8eAFHR0ckJCTg0aNH8vKbN28iNTUVDg4Oea4xMjJC5cqVcfr0aYXyqKiofOurk46ODrKzsxXKGjRogDt37qBixYqwt7dXOIyNjQt9by0tLbi7u2PhwoW4du0aHjx4gKNHjxa6HQAwcOBAJCQkYNmyZbhx4wa+/fZbpTFlMhmMjIwUDg6bExERfR7+c4km8G71dHZ2Nho3bozdu3fjzp07iI2NxbJly+Dm5gZ3d3c4OztjwIABuHz5Mi5cuIDBgwejZcuWBQ59+/n5YcGCBdi+fTvi4uIwZcoUxMTEYOzYsSX6bDY2Nrh27Rri4uLw9OlTZGZmYsCAATA3N0fXrl1x6tQp3L9/HydOnMDYsWPx119/Feq+Bw4cwLJlyxATE4OHDx9i48aNyMnJQa1atQpsx8mTJ/H48WM8ffpUXm5qaooePXrAz88P7dq1Q9WqVVXy3ERERFLgqnPl/pOJpq2tLS5fvozWrVtjwoQJqFOnDtq2bYvIyEisWrUKgiBg7969MDU1RYsWLeDu7g47Ozts3769wHv6+PhgwoQJmDBhAurWrYvw8HDs27cPNWrUKMEnA4YPH45atWrB1dUVFSpUwJkzZ6Cvr4+TJ0+iWrVq6NGjBxwcHODl5YU3b97AyMioUPc1MTFBWFgYvvrqKzg4OGD16tXYunUrnJyc8q0/c+ZMPHjwANWrV0eFChUUzg0dOhQZGRnw8vL65OclIiKSEjdsV04QPzbBj0jFQkNDMXbsWDx58gQ6OjpFvv6VX3c1tOrj7u3MkiQuAGhoSPPX9GSmiSRxAcAl640kcQ/r6EoSFwAeCm8lidv7jXQvjrimK83mJxMuzZQkLgCYVPtKkrgV9Qo/VUrVjlatKFls26sF72yiCl42vT5eqZDWP9j18Uqfmf/c9kYkndevX+P+/fuYN28evvvuu2IlmURERPT5+E8OnZcWHTp0kG839OExd+5cqZuncgsXLoSLiwsqVaoEf39/qZtDRET0yTh0rhx7NCW0bt06vHmT//BgWXx3eEBAAAICAqRuBhERkcqU1UU8qsJEU0JVqlSRuglEREREasOhcyIiIqJiyhFFlR3qkpKSgkGDBsnfsDdo0CClL1zJzMzE5MmTUbduXRgYGKBy5coYPHgwnjx5UuTYTDSJiIiIiulzeAVl//79ERMTg/DwcISHhyMmJgaDBg0qsP7r169x+fJlTJs2DZcvX0ZYWBhu376Nr7/+usixOXROREREVEbFxsYiPDwc586dQ5MmTQAAa9euhZubG+Li4vJ98YqxsTEiIhS3hVq+fDkaN26MhIQEVKtWrdDxmWgSERERFZMq31Genp6O9PR0hTKZTAaZTFbse549exbGxsbyJBMAmjZtCmNjY0RFRRX4hr8PpaamQhAEmJiYFCk+E0367MzfqSdN3CcnJIkLAJMrt5QkbjSeSRIXAPQ1zCSJO9a1cK9lVQdtO1NJ4vbelipJXABYbiDNml2pNk0HgBcJRyWJm7FksiRxAeD2pgzJYqubKrclmjdvHmbMmKFQNn369E/asSUpKQkVK+bdML9ixYpISkoq1D3evn2LKVOmoH///oV+o2AuztEkIiIiKgX8/f2RmpqqcBS073RAQAAEQVB6REdHAwAEQchzvSiK+ZZ/KDMzE/369UNOTg5WrlxZ5GdijyYRERFRMamyT74ow+RjxoxBv379lNaxsbHBtWvX8Pfff+c5988//6BSpUpKr8/MzESfPn1w//59HD16tMi9mQATTSIiIqJiU+UczaIwNzeHubn5R+u5ubkhNTUVFy5cQOPGjQEA58+fR2pqKpo1a1bgdblJ5p07d3Ds2DGYmRVvOhOHzomIiIiKqbS/gtLBwQHt27fH8OHDce7cOZw7dw7Dhw9H586dFRYC1a5dG3v27AEAZGVloVevXoiOjkZoaCiys7ORlJSEpKQkZGQUbb4tE00iIiKiMiw0NBR169ZFu3bt0K5dOzg7O2PTpk0KdeLi4pCa+m5h4F9//YV9+/bhr7/+gouLCywtLeVHVFRUkWJz6JyIiIiomD6Hd52XL18emzdvVlpHfO/NRDY2Ngo/fwommkRERETFpKqErKzi0DkRERERqQUTTfooT09PdOvWLU/58ePHIQgCXrx4UeJtIiIiKg1yIKrsKIs4dE5ERERUTJ/DHE0psUeTVCIgIAAuLi4KZUuXLoWNjY1CWXBwMBwcHKCrq4vatWsX6y0DRERE9HlgjyaVmLVr12L69OlYsWIF6tevjytXrmD48OEwMDDAt99+K3XziIiIikxd+1+WFUw0qVAOHDgAQ0NDhbLs7Owi3WPWrFkIDAxEjx49AAC2tra4efMm1qxZU2CimZ6ejvT0dIWyLDEbWoJmkWITERGpQ1mdW6kqTDSpUFq3bo1Vq1YplJ0/fx4DBw4s1PX//PMPHj16hKFDh2L48OHy8qysLBgbGxd43bx58zBjxgyFsi+N66CFSd0itJ6IiIikwESTCsXAwAD29vYKZX/99Zf81xoaGnn2EsvMzJT/Oifn3XTptWvXokmTJgr1NDUL7p309/eHr6+vQtncusMLqE1ERFSyuI+mckw0SSUqVKiApKQkiKIIQRAAADExMfLzlSpVQpUqVXDv3j0MGDCg0PeVyWSQyWQKZRw2JyKi0oKrzpVjokkq0apVK/zzzz9YuHAhevXqhfDwcPzvf/+DkZGRvE5AQAB8fHxgZGSEDh06ID09HdHR0UhJScnTa0lERPQ54GIg5bi9EamEg4MDVq5ciV9//RX16tXDhQsXMHHiRIU6w4YNw7p16xASEoK6deuiZcuWCAkJga2trUStJiIiInVijyZ9VEhISL7lrVq1UpibMnLkSIwcOVKhzg8//KDwc//+/dG/f3+Vt5GIiEgKXHWuHBNNIiIiomLiYiDlOHRORERERGrBHk0iIiKiYuLQuXJMNImIiIiKiavOlePQORERERGpBXs0iYiIiIoph4uBlGKiSURERFRMTDOV49A5EREREakFezTps1M7Q5rvR07lrSWJCwAVc6R5ZiknuUv1LVj366YSRQZgUVWSsFGrlkgSFwAqdXeQJG7FUGNJ4gJAxpLJksTVGb9AkrgAYHLgO8liqxtXnSvHRJOIiIiomJhoKsdEk4iIiKiY+GYg5ThHk4iIiIjUgj2aRERERMXEoXPlmGgSERERFRPfDKQch86JiIiISC3Yo0lERERUTFwMpBwTTSIiIqJi4hxN5Th0XkY9evQIQ4cOReXKlaGjowNra2uMHTsWz549k9dp1aoVBEGAIAiQyWSoUqUKunTpgrCwMIV7PXjwAEOHDoWtrS309PRQvXp1TJ8+HRkZGQr1Ll68iDZt2sDExASmpqZo164dYmJiFOpcv34dLVu2hJ6eHqpUqYKZM2fy2yAREVEZxUSzDLp37x5cXV1x+/ZtbN26FXfv3sXq1asRGRkJNzc3PH/+XF53+PDhSExMxN27d7F79244OjqiX79+GDFihLzOrVu3kJOTgzVr1uDGjRtYsmQJVq9ejR9++EFe599//4WHhweqVauG8+fP4/Tp0zAyMoKHhwcyMzMBAC9fvkTbtm1RuXJlXLx4EcuXL8eiRYuwePHikvtwiIiIVEgURZUdZRGHzsug0aNHQ0dHB4cPH4aenh4AoFq1aqhfvz6qV6+OqVOnYtWqVQAAfX19WFhYAACsrKzQtGlT1K5dG15eXujTpw/c3d3Rvn17tG/fXn5/Ozs7xMXFYdWqVVi0aBEAIC4uDikpKZg5cyasrKwAANOnT4ezszMSEhJQvXp1hIaG4u3btwgJCYFMJkOdOnVw+/ZtLF68GL6+vhAEoSQ/JiIiok/GoXPl2KNZxjx//hyHDh2Ct7e3PMnMZWFhgQEDBmD79u1Kvzl9++23MDU1zTOE/r7U1FSUL19e/nOtWrVgbm6OoKAgZGRk4M2bNwgKCoKTkxOsrd+9I/zs2bNo2bIlZDKZ/DoPDw88efIEDx48KOYTExERUWnFRLOMuXPnDkRRhIODQ77nHRwckJKSgn/++afAe2hoaKBmzZoFJn/x8fFYvnw5Ro4cKS8rV64cjh8/js2bN0NPTw+GhoY4dOgQDh48CC2tdx3nSUlJqFSpksK9cn9OSkoqymMSERGVCqIK/1cWMdH8j8ntyfzYMLUoivnWefLkCdq3b4/evXtj2LBh8vI3b97Ay8sLzZs3x7lz53DmzBk4OTmhY8eOePPmjbzeh/f8WHvS09Px8uVLhSNTzC7cwxIREalZjiiq7CiLmGiWMfb29hAEATdv3sz3/K1bt2Bqagpzc/MC75GdnY07d+7A1tZWofzJkydo3bo13Nzc8Ntvvymc27JlCx48eIDg4GA0atQITZs2xZYtW3D//n38/vvvAN4N3X/Yc5mcnAwAeXo6c82bNw/GxsYKx/5XN5R/CERERCXkc+jRTElJwaBBg+T/jg4aNAgvXrwo9PXfffcdBEHA0qVLixybiWYZY2ZmhrZt22LlypUKPYnAu+Hp0NBQ9O3bV2mP5oYNG5CSkoKePXvKyx4/foxWrVqhQYMGCA4OhoaG4h+d169fQ0NDQ+G+uT/n5OQAANzc3HDy5EmFbZEOHz6MypUrw8bGJt+2+Pv7IzU1VeHoYuhU6M+DiIjov65///6IiYlBeHg4wsPDERMTg0GDBhXq2r179+L8+fOoXLlysWIz0SyDVqxYgfT0dHh4eODkyZN49OgRwsPD0bZtW1SpUgVz5syR1339+jWSkpLw119/4fz585g8eTJGjhyJUaNGoXXr1gDe9WS2atUKVlZWWLRoEf755x8kJSUp9E62bdsWKSkpGD16NGJjY3Hjxg0MGTIEWlpa8vv0798fMpkMnp6e+PPPP7Fnzx7MnTtX6YpzmUwGIyMjhUNb0FTjp0dERFR4pX3oPDY2FuHh4Vi3bh3c3Nzg5uaGtWvX4sCBA4iLi1N67ePHjzFmzBiEhoZCW1u7WPG5vVEZVKNGDURHRyMgIAB9+/bFs2fPYGFhgW7dumH69OkKq8XXrl2LtWvXQkdHB2ZmZmjYsCG2b9+O7t27y+scPnwYd+/exd27d1G1alWFWLlzLGvXro39+/djxowZcHNzg4aGBurXr4/w8HBYWloCAIyNjREREYHRo0fD1dUVpqam8PX1ha+vbwl8KkRERKqnyiHv9PR0pKenK5TJZDKF3VqK6uzZszA2NkaTJk3kZU2bNoWxsTGioqJQq1atfK/LycnBoEGD4OfnByen4o8kMtEso6ytrREcHKy0zvHjxwt1L09PT3h6en60Xtu2bdG2bVulderWrYuTJ08WKi4REdF/ybx58zBjxgyFsunTpyMgIKDY90xKSkLFihXzlFesWFHpji8LFiyAlpYWfHx8ih0bYKJJREREVGyqHPL29/fPM8pXUG9mQEBAnqT0QxcvXgSQ/84uBe0uAwCXLl3CL7/8gsuXL3/yy1SYaBIREREVkyqHzosyTD5mzBj069dPaR0bGxtcu3YNf//9d55z//zzT4E7vpw6dQrJycmoVq2avCw7OxsTJkzA0qVLi/SSFSaaRERERJ8Zc3NzpVsV5nJzc0NqaiouXLiAxo0bAwDOnz+P1NRUNGvWLN9rBg0aBHd3d4UyDw8PDBo0CEOGDClSO5loEhERERVTad9o3cHBAe3bt8fw4cOxZs0aAMCIESPQuXNnhYVAtWvXxrx589C9e3eYmZnBzMxM4T7a2tqwsLAocPFQQbi9EREREVExfQ4btoeGhqJu3bpo164d2rVrB2dnZ2zatEmhTlxcHFJTU1Uemz2aRERERGVY+fLlsXnzZqV1xI/0zBZlXub7mGgSERERFZMo5kjdhFKNiSYRERFRMeWocci7LGCiSURERFRMHxty/q8TRH5C9Jl5/ctISeKOWJwsSVwAGJctzdBMj9fxksQFgEsNy3+8khrI7HQliSulTgeyJIsdailN3OxM6dbCvkjRlySuielrSeICQNXINZLF1ja3U+v9q5Wvq7J7JTy/rrJ7lRbs0SQiIiIqJg6dK8dEk4iIiKiYODCsHPfRJCIiIiK1YI8mERERUTGV9jcDSY2JJhEREVExqfONPmUBh86JiIiISC3Yo0lERERUTFwMpBx7NKlQAgIC4OLiIv/Z09MT3bp1k6w9REREpUEORJUdZRETzTLI09MTgiBAEARoa2vDzs4OEydORFpamspi/PLLLwgJCVHZ/YiIiKjs4dB5GdW+fXsEBwcjMzMTp06dwrBhw5CWloZVq1Yp1MvMzIS2tnaR729sbKyqphIREX22OHSuHHs0yyiZTAYLCwtYWVmhf//+GDBgAPbu3SsfAl+/fj3s7Owgk8kgiiISEhLQtWtXGBoawsjICH369MHff/9d4P0/HDpv1aoVfHx8MGnSJJQvXx4WFhYICAhQuCY1NRUjRoxAxYoVYWRkhK+++gpXr15V0ydARESkfjmiqLKjLGKi+R+hp6eHzMxMAMDdu3exY8cO7N69GzExMQCAbt264fnz5zhx4gQiIiIQHx+Pvn37FinGhg0bYGBggPPnz2PhwoWYOXMmIiIiALz7xtepUyckJSXh4MGDuHTpEho0aIA2bdrg+fPnKn1WIiKikiKKosqOsohD5/8BFy5cwJYtW9CmTRsAQEZGBjZt2oQKFSoAACIiInDt2jXcv38fVlZWAIBNmzbByckJFy9eRKNGjQoVx9nZGdOnTwcA1KhRAytWrEBkZCTatm2LY8eO4fr160hOToZMJgMALFq0CHv37sWuXbswYsSIfO+Znp6O9PR0hbLsrGzItDSL/kEQERFRiWKPZhl14MABGBoaQldXF25ubmjRogWWL18OALC2tpYnmQAQGxsLKysreZIJAI6OjjAxMUFsbGyhYzo7Oyv8bGlpieTkZADApUuX8OrVK5iZmcHQ0FB+3L9/H/Hx8QXec968eTA2NlY4FkVcKXSbiIiI1ImrzpVjj2YZ1bp1a6xatQra2tqoXLmywoIfAwMDhbqiKEIQhDz3KKi8IB8uKhIEATk5OQCAnJwcWFpa4vjx43muMzExKfCe/v7+8PX1VSjLXjuh0G0iIiJSp7I65K0qTDTLKAMDA9jb2xeqrqOjIxISEvDo0SN5r+bNmzeRmpoKBwcHlbSnQYMGSEpKgpaWFmxsbAp9nUwmkw+153rNYXMiIqLPAofOCe7u7nB2dsaAAQNw+fJlXLhwAYMHD0bLli3h6uqqshhubm7o1q0bDh06hAcPHiAqKgo//vgjoqOjVRKDiIiopHHVuXJMNAmCIGDv3r0wNTVFixYt4O7uDjs7O2zfvl2lMQ4ePIgWLVrAy8sLNWvWRL9+/fDgwQNUqlRJZXGIiIhKkqjC/5VFgsjJBfSZef3LSEnijlicLElcABiXnSNJ3B6vC16opW6XGpaXJK7MTleSuFLqdCBLstihltLEzc6Urp/lRYq+JHFNTF9LEhcAqkaukSy2trmdWu9voG+jsnulvX6gsnuVFpyjSURERFRMZXXIW1WYaBIREREVEweGleMcTSIiIiJSC/ZoEhERERVTWV3EoypMNImIiIiKiUPnyjHRJCIiIiomJprKcY4mEREREakFezSJiIiIion9mR8hEv1HvH37Vpw+fbr49u3b/0xsPnPJ4jOX/bhSxuYz0+eIbwai/4yXL1/C2NgYqampMDIy+k/E5jPzmctqbD4zn5k+D5yjSURERERqwUSTiIiIiNSCiSYRERERqQUTTfrPkMlkmD59OmQy2X8mNp+5ZPGZy35cKWPzmelzxMVARERERKQW7NEkIiIiIrVgoklEREREasFEk4iIiIjUgokmEREREakFE00iIiIiUgsmmkREKvTixQupm0BqkJaWJnUTiD5L3N6IypR9+/YVuu7XX3+txpZIJycnB3fv3kVycjJycnIUzrVo0UJtcVu1agUvLy/07t0benp6aotTmixYsAA2Njbo27cvAKBPnz7YvXs3LCwscPDgQdSrV0/iFpKqGBoaok+fPvDy8sIXX3whdXNKxMOHD5GUlARBEFCpUiVYW1tL3ST6DDHRpDJFQ6NwnfSCICA7O1vl8aVOdM+dO4f+/fvj4cOH+PCvtrqeOdeECRMQGhqKN2/eoE+fPhg6dCiaNm2qtnilgZ2dHTZv3oxmzZohIiICffr0wfbt27Fjxw4kJCTg8OHDaosdHh4OQ0NDedLz66+/Yu3atXB0dMSvv/4KU1NTtcX+0MuXL3H06FHUqlULDg4Oao11+fJlaGtro27dugCA33//HcHBwXB0dERAQAB0dHTUEnf//v0ICQnBgQMHYG1tDS8vLwwePBiVK1dWS7wPbdq0CatXr8b9+/dx9uxZWFtbY+nSpbC1tUXXrl1VGmvJkiVYvHgxnjx5Iv/viCAIqFy5MiZMmIBx48apNF5BXrx4gV27diE+Ph5+fn4oX748Ll++jEqVKqFKlSol0gZSAZGIVEYQBIVDQ0Mjz8+5hzrUq1dP7N27t3jz5k0xJSVFfPHihcKhbllZWeLevXvFrl27itra2qKDg4P4888/i0lJSWqN++bNG3HhwoVihw4dxIYNG4r169dXONRFV1dXTEhIEEVRFH18fMQRI0aIoiiKcXFxoomJidriiqIo1qlTR/zjjz9EURTFa9euiTKZTPT39xebNGkienp6qjV27969xeXLl4uiKIqvX78Wa9SoIWpra4taWlrirl271Brb1dVVHiM+Pl7U1dUVv/nmG9He3l4cO3asWmOLoig+ffpUXLx4sejs7CxqaWmJnTp1Enfv3i1mZmaqLebKlStFc3Nzcfbs2aKenp4YHx8viqIoBgcHi61atVJprJkzZ4pGRkbi/PnzxStXrohPnjwRHz9+LF65ckWcP3++aGxsLM6aNUulMfNz9epVsUKFCqK9vb2opaUlf+Yff/xRHDRokNrjk+ow0SRSk4iICLFBgwZieHi4mJqaKr58+VIMDw8XXV1dxcOHD6slpr6+vnjnzh213LuokpOTxVmzZom6urqitra22LVrVzEyMlItsb755hvR3NxcHDlypDh9+nQxICBA4VAXS0tL8cyZM6IoimLNmjXFHTt2iKIoirdu3RLLlSuntriiKIoGBgbi/fv3RVEUxenTp4s9e/YURVEUL126JFaqVEmtsStVqiTGxMSIoiiKoaGhor29vZiWliauXLlSdHFxUWtsIyMj8e7du6IoiuL8+fPFdu3aiaIoiqdPnxarVq2q1tgfWrZsmSiTyURBEMQKFSqI06ZNE9PS0lQex8HBQdyzZ48oiqJoaGgoT7quX78umpmZqTRW1apV5bHyExYWJlauXFmlMfPTpk0b0c/PTxRFxWc+c+aMaG1trfb4pDpaUveoEqnTiRMnsGjRIsTGxkIQBDg4OMDPzw9ffvml2mOPGzcOq1evVpjP5eHhAX19fYwYMQKxsbEqj9mkSRPcvXsX9vb2Kr93UVy4cAHBwcHYunUrKlasCE9PTyQmJqJLly4YNWoUFi1apNJ4f/zxBw4ePIjmzZur9L4f06NHD/Tv3x81atTAs2fP0KFDBwBATEyM2n8PdHR08Pr1awDAkSNHMHjwYABA+fLl8fLlS7XGTk1NRfny5QG8G8Lv2bMn9PX10alTJ/j5+ak1tiiK8rnHR44cQefOnQEAVlZWePr0qVpjA0BSUhI2btyI4OBgJCQkoFevXhg6dCiePHmC+fPn49y5cyqfMnH//n3Ur18/T7lMJlP5IqVnz56hVq1aBZ6vWbMmUlJSVBozPxcvXsSaNWvylFepUgVJSUlqj0+qw0STyqzNmzdjyJAh6NGjB3x8fCCKIqKiotCmTRuEhISgf//+ao0fHx8PY2PjPOXGxsZ48OCByuJcu3ZN/uvvv/8eEyZMQFJSEurWrQttbW2Fus7OziqL+6Hk5GRs2rQJwcHBuHPnDrp06YJt27bBw8MDgiAAeLdYplu3bipPNKtUqYJy5cqp9J6FsWTJEtjY2ODRo0dYuHAhDA0NAQCJiYnw9vZWa+wvvvgCvr6+aN68OS5cuIDt27cDAG7fvo2qVauqNbaVlRXOnj2L8uXLIzw8HNu2bQMApKSkQFdXV62xXV1dMXv2bLi7u+PEiRNYtWoVgHfJWKVKldQWNywsDMHBwTh06BAcHR0xevRoDBw4ECYmJvI6Li4u+SaEn8rW1hYxMTF5FuP873//g6Ojo0pjNW7cGHPmzEFISAi0tBRThKysLMydOxeNGzdWacz86Orq5vuFKS4uDhUqVFB7fFIhqbtUidSldu3a4uLFi/OUBwYGirVr11Z7/C+//FL86quvxCdPnsjLEhMTRXd3d7FFixYqi5PfXND85omqa15oLm1tbbF27driwoULxeTk5HzrpKamqnxOmSiK4sGDB8X27duLDx48UPm9S6uHDx+KnTp1Ep2dncV169bJy8eNGyd+//33ao3966+/ilpaWqKJiYlYr149MTs7WxTFd0PJ6vj9fd/Vq1fFOnXqiEZGRgrTIsaMGSN+8803aotrZGQkjhgxQrxw4UKBdV6/fq2WqRrr168Xq1SpIm7btk00MDAQt27dKs6ePVv+a1W6du2aaGFhIZqamordunUTv/vuO3HkyJFit27dxPLly4uWlpbin3/+qdKY+Rk+fLjYrVs3MSMjQzQ0NBTv3bsnPnz4UKxfv36JzMUl1eGqcyqzZDIZbty4kWcI8+7du6hTpw7evn2r1vh3795F9+7dERcXh2rVqgEAEhISULNmTezdu1dlQ6sPHz4sdF11bk9y6tSpEpmSkJ9//vkHffr0wcmTJ6Gvr5+nJ/f58+cqiyX1zgKlRXR0NB49eoS2bdvKe3L/+OMPmJiYlPgUBgB4+/YtNDU18/zeq8rr16+hr6+vlnsXxtq1azF79mw8evQIwLte/ICAAAwdOlTlsf79919s3rwZ586dkw9TW1hYwM3NDf3794eRkZHKY37o5cuX6NixI27cuIF///0XlStXRlJSEtzc3HDw4EEYGBiovQ2kGkw0qcyyt7eHn58fvvvuO4XyNWvWYNGiRbhz547a2yCKIiIiInDr1i2IoghHR0e4u7vLh5LLkq+++gphYWEKQ4nAu38wunXrhqNHj6ottru7OxISEjB06FBUqlQpz+f77bffqiyWlFtoFWXuZUkkA1LKyMjId6/Y3C91qqapqYnExERUrFhRofzZs2eoWLGiWrcOe9/Tp0+Rk5OTpx1l1dGjR3H58mXk5OSgQYMGcHd3l7pJVERMNKnMWrVqFcaNGwcvLy80a9YMgiDg9OnTCAkJwS+//JInAS0LNmzYAHNzc3Tq1AkAMGnSJPz2229wdHTE1q1b1dqjWdA/xMnJyahSpQoyMzPVFltfXx9nz54t8xuka2hoFPpLiqoTH19f30LXXbx4sUpjv+/27dsYOnQooqKiFMpFUVTrXrEaGhpISkrK8+f7yZMnqF69Ot68eaOWuFLIzs5GQkICrK2toaGhgfT0dPz+++/IyclB69at1ToXlsoeLgaiMmvUqFGwsLBAYGAgduzYAQBwcHDA9u3bVb7Bca5ly5ZhxIgR0NXVxbJly5TW9fHxUXn8uXPnyhdHnD17FitWrMDSpUtx4MABjB8/HmFhYSqPmbsYSRRF3Lx5U2FFaHZ2NsLDw9W+uXLt2rXL1D/0BTl27Jj81w8ePMCUKVPg6ekJNzc3AO9+zzds2IB58+apPPaVK1cKVU/dvfVDhgyBlpYWDhw4AEtLS7XHy/17LAgC1q1bJ58mALz7833y5EnUrl1brW2wtbVV+pz37t1TWayrV6+iffv2SE5ORp06dfDHH3+gQ4cOuH//PgRBgLa2Ng4dOoRGjRqpLGZBIiMjERkZmW/P9fr169Uen1SDPZpEKmRra4vo6GiYmZnB1ta2wHqCIKj0H4dc+vr6uHXrFqpVq4bJkycjMTERGzduxI0bN9CqVSv8888/Ko/5fi9bfv850dPTw/Lly+Hl5aXy2LkOHz6MGTNmYM6cOfmutlfnMLJUW2i1adMGw4YNwzfffKNQvmXLFvz22284fvy4WuNLxcDAAJcuXVJ7cpcr9+/xw4cPUbVqVWhqasrP6ejowMbGBjNnzkSTJk3U1oZffvlF4efMzExcuXIF4eHh8PPzw5QpU1QWy8PDA0ZGRpg+fTrWrVuHiIgIODk5ITQ0FIIgYMiQIUhKSkJERITKYuZnxowZmDlzJlxdXfP9QrFnzx61xifVYaJJZV5Jz+WSUsWKFXHo0CHUr18f9evXx/jx4zF48GDEx8ejXr16ePXqlcpj5r7u0s7ODhcuXFDYekRHRwcVK1ZU+MdZHXLnTX74j5G6h1Pf30KrefPm8i209uzZo/YttPT19XH16lXUqFFDofz27dtwcXGR77Gpbn/99RcEQSixVwI2atQIS5YsKfH3jbdu3RphYWEl+mrPj/n1118RHR2N4OBgld2zfPnyOHPmDBwcHPDmzRuUK1cOUVFR8i2Nbty4gZYtW6p9z1JLS0ssXLgQgwYNUmscUj8OnVOZdefOHXh5eZX4XC4ptW3bFsOGDUP9+vVx+/Zt+VzNGzduqG1+Zu59P0zkS9L7Q8olac6cOVi4cCHGjx8vLxs7diwWL16MWbNmqTXRtLKywurVqxEYGKhQvmbNGlhZWaktLvDu93r27NkIDAyUf3kpV64cJkyYgKlTpxZ6wVRxLFiwAJMmTcLcuXNLtPdaqj9jynTo0AH+/v4qTTRFUZTvn/nh/wPv5mKXxN/1jIwMNGvWTO1xSP2YaFKZ5enpWaJzuT7Uq1cvuLq65hnW+vnnn3HhwgXs3LlT5TF//fVX/Pjjj3j06BF2794NMzMzAMClS5fyDLGqwr59+9ChQwdoa2t/dNsfdW7107JlS7XdW5l79+6hS5cuecq//vpr/PDDD2qNvWTJEvTs2ROHDh1C06ZNAQDnzp1DfHw8du/erdbYU6dORVBQEObPny/vyT1z5gwCAgLw9u1bzJkzR22xc1cdt2nTRqFcHV8gfX19MWvWLBgYGHx0MZQ6F0AVZNeuXfI3NKlKw4YNsWDBAsyYMQNBQUGwtbXFihUr5HMily9fjjp16qg0Zn6GDRuGLVu2YNq0aWqPRerFoXMqs0p6LteHKlSogKNHj6Ju3boK5devX4e7uzv+/vtvtbchNTUVoaGhWLduHa5evaryXtz3V+Iq68VSdw/yyZMnlZ5v0aKFWuJKvYXWo0ePsGrVKoXts0aOHKn2Hs3KlStj9erVeb48/P777/D29sbjx4/VFvvEiRNKz6vyS0fr1q2xZ88emJiYoHXr1gXWEwRBrdt31a9fX+GLsiiKSEpKwj///IOVK1dixIgRKot18eJFtG/fHi9evIC5uTmOHTsGLy8vPHz4EBoaGkhJScH+/fvzJPqqNnbsWGzcuBHOzs5wdnbO03MtRWJPxcMeTSqzHB0dS+TdxwV59eoVdHR08pRra2ur/V3UR48exfr16xEWFgZra2v07NkTQUFBKo/z/hCalEPnrVq1ylP2/j/M6kpyJ0yYAB8fH8TExOS7hZa6WVlZYe7cuWqP86Hnz5/n+wWudu3aKt0cPz8l2Xv9/nC5lEPnXbt2VfjzrKGhgQoVKqBVq1Yq/yLdqFEjPHz4EHFxcahVqxYMDQ1x/PhxhIaG4s2bN2jbtq3Sd6GryrVr1+Di4gIA+PPPPxXOlcV9iMsy9mhSmfJ+AhcdHY0ff/yxxOdy5WrUqBG6dOmCn376SaE8ICAA+/fvx6VLl1Qa76+//kJISAjWr1+PtLQ09OnTB6tXr8bVq1dV/j7k0iY1NVXh59xVudOmTcOcOXPU2vuyZ88eBAYGIjY2FgDkq87VsYXWtWvXUKdOHWhoaCi84z4/6nyvfZMmTdCkSZM8W3h9//33uHjxIs6dO6fSeKXlud/38uVLHD16FLVr11bbqElhv5CW9c356fPGRJPKlA83tM6dt/W+kloMtG/fPvTs2RP9+/fHV199BeDdvnBbt27Fzp070a1bN5XF6tixI06fPo3OnTtjwIABaN++vfx1fCWZaJa2fe9OnjyJ8ePHqzypl8qHUxUEQch3Syl1//k+ceIEOnXqhGrVqsHNzQ2CICAqKgqPHj3CwYMHVb61U2l47j59+qBFixYYM2YM3rx5g3r16uHBgwcQRRHbtm1Dz549VR7zYxv0l+WFjVR2cOicypTStDL066+/xt69ezF37lzs2rULenp6cHZ2xpEjR1Q+/Hf48GH4+Phg1KhReba7KSkf2/dOChUqVEBcXJza45TUFlr379+Xbx91//59ld67KFq2bInbt2/j119/lc8P7dGjB7y9vVG5cmWVxysNz33y5ElMnToVwLtebFEU8eLFC2zYsAGzZ89WS6L5/n/PRFFEx44dsW7dOrVuJZWZmYmpU6ciLCwM5cuXx6hRozBkyBD5+b///huVK1dWS3Lbo0cPhISEwMjICD169FBaVx0vnyD1YKJJZYpUq48L0qlTJ/kWQ++LiYmRzz9ShVOnTmH9+vVwdXVF7dq1MWjQIPTt21dl9y+M1atXIyQkRJJ97z4cThVFEYmJiZg/f75aX0tZ0ltovb9FlTpfJ1oYlStXVuvq8veVhudOTU2Vr/AODw9Hz549oa+vj06dOsHPz08tMT/875mmpiaaNm0KOzs7tcQD3m3ZtXHjRkycOBEvXrzA+PHjce7cOaxZs0ZeR10DocbGxvIvqMbGxmqJQSWPiSaVaS9evEBQUJD8rS2Ojo7w8vKS5D9i6lwB7ubmBjc3N/zyyy/Ytm0b1q9fD19fX+Tk5CAiIgJWVlYoV66cyuLlR8p971xcXPIdTm3atKlah+yl3kIrPj4eS5cuVXgr0dixY1G9enW1x37x4gUuXLiQb0/u4MGD1Rr79u3bOH78eL6xP5wTrSpWVlY4e/Ysypcvj/DwcGzbtg0AkJKSAl1dXbXElELuf6M6d+4M4N0rPzt06IAhQ4bI/y6p68/5+/uBqnJvUJIW52hSmRUdHQ0PDw/o6emhcePGEEUR0dHRePPmDQ4fPowGDRqUSDuOHj2KoKAg7NmzR74CvGfPnqhfv75a48bFxSEoKAibNm3Cixcv0LZt24/udfkpJk+eDENDQ0n2vXv48KHCz7mrctWdAEi5hdahQ4fw9ddfw8XFReGtRFevXsX+/fvRtm1btcXev38/BgwYgLS0NJQrV04h8RAEQa0rz9euXYtRo0bB3NwcFhYWeWJfvnxZLXFXrlyJsWPHwtDQENbW1rh8+TI0NDSwfPlyhIWFlci0nXLlyuHq1atq7dHU19fHzZs3YWNjIy978uQJvvrqK7i6umLhwoWwsrLivFAqNCaaVGZ9+eWXsLe3x9q1a+VvtsjKysKwYcNw7969j+69+ClK0wrw7Oxs7N+/H+vXr1drovlf3PdOqtchAu/2VvTw8MD8+fMVyqdMmYLDhw+rLeECgJo1a6Jjx46YO3cu9PX11RYnP9bW1vD29sbkyZNLNC7w7svro0eP0LZtWxgaGgIA/vjjD5iYmKB58+Zqj1+uXDlcu3ZN/v51dbCzs8PatWvz7NTw5MkTtG7dGtWqVcPRo0fVkmh+uF+oMur8802qxUSTyiw9PT1cuXIlT2/TzZs34erqqrZ3QZeWFeAlraQ3tF62bBlGjBgBXV3dPNvsfMjHx0elsXMdPXpUsi20dHV1cf369Xzfde7s7Iy3b9+qLbaBgQGuX7+u1p61ghgZGSEmJkaS2CXtwwUx+/fvx1dffQUDAwOFclUujBk2bBhEUcx3393Hjx+jVatWuHfvnloSzRkzZhS67vTp01Uen9SDczSpzDIyMkJCQkKeRPPRo0dqna9YGlaAS6GkV/wvWbIEAwYMgK6uLpYsWVJgPUEQ1JZoluTrED9UoUIFxMTE5PkzFhMTg4oVK6otLgB4eHggOjpakmSvd+/eOHz4MEaOHFmicbOzsxESElLg9l3qeDPQh3PJBw4cqPIYH5o2bRpu3bqV77kqVarg5MmTOHz4sFpiM3ksm5hoUpnVt29fDB06FIsWLVJ4a4ufn59a3vudqzSsAP8veH+bG6m2vJFyO63hw4djxIgRuHfvnsKf7wULFmDChAlqjZ270vrmzZv59uSq87329vb2mDZtGs6dO5dvbHV9qRg7dixCQkLQqVMn1KlTp0QWfkmxIMba2lrpyn5LS0t8++23JdaeS5cuKSzmVPfcdlI9Dp1TmZWRkQE/Pz+sXr0aWVlZAN69/nHUqFGYP38+ZDKZWuO/fv1avgL8woULyM7OxuLFi+Hl5aX2FeBSuXjxInbu3ImEhARkZGQonCvJfe+ys7Nx/fp1WFtbw9TUtMTiliRRFLF06VIEBgbiyZMnAN5tOeTn5wcfHx+1JkJSvtde2fxEQRBw7949tcQ1NzfHxo0b0bFjR7Xcv7Q5evQowsLC8ODBAwiCAFtbW/Tq1QstWrQokfjJycno168fjh8/DhMTE4iiiNTUVLRu3Rrbtm2T76tKnwGRqIxLS0sTr127Jl69elVMS0uTpA23bt0S/fz8RAsLC1FXV1fs0qWLJO1Qp61bt4ra2tpip06dRB0dHbFz585irVq1RGNjY9HT01OtsceOHSuuW7dOFEVRzMrKEps1ayYKgiAaGBiIx44dU2vskydPigMGDBDd3NzEv/76SxRFUdy4caN46tQptcZ938uXL8WXL1+WWLz/IktLSzEuLk7qZpSI7777ThQEQSxfvrzYtGlTsUmTJmL58uVFDQ0NccyYMSXShj59+ogNGzYUb968KS+7ceOG6OrqKvbr169E2kCqwUSTyqwXL16Iz549y1P+7NkzMTU1VYIWvUuC9uzZo5BoPnr0SMzOzpakPapUt25dccWKFaIoiqKhoaEYHx8v5uTkiMOHDxd/+ukntcauUqWKePHiRVEURXHPnj1i5cqVxbi4OHHq1Klis2bN1BZ3165dop6enjhs2DBRJpOJ8fHxoiiK4q+//ip26NBBbXFLkzdv3kjdhBKxaNEi0dvbW8zJyZG6KWoVFhYm6ujoiMHBwQrPmp2dLQYFBYk6Ojri77//rvZ2GBkZiRcuXMhTfv78edHY2Fjt8Ul1OHROZVaHDh3QpUsXeHt7K5SvXr0a+/btw8GDByVqmaKysorWwMAAN27cwP9r797Dak7XPoB/1yqdCNEgZFWysaiRjUGMccgpuxhnMSPGIUM0RVzjsDXjMMaocdpkS0amdrZCM8ZhCq+cR1KoKFIohuSU0uH3/tHbeq0pQ2Y9a1W+n+tyXfX7rav70WS61/N77vu2srKCubk5jhw5Ajs7OyQlJaFPnz7IysoSFtvIyAipqalo3rw5pk6dChMTEwQEBODGjRt4//338fjxYyFxHRwc4OXlhU8++UStx2F8fDwGDhyI7OxsIXGB0lGAPj4+quKUP/6vXOTj6+LiYixfvhybNm3C3bt3cfXqVdjY2GDRokWwsrLC5MmThcUGStuH7du3r8IjGqLaaA0bNgxHjhxBgwYN0K5du3JnQ2vKSEQXFxe0a9cOK1asqPC+r68vkpOTsXfvXqHrMDU1xfHjx8tNULtw4QJ69eol7N80aR6LgajGOnPmTIW/dD766CPVzOKqoKa812vQoAGePHkCoLQ69dKlS7Czs0Nubq6wVlJlGjdujCtXrsDCwgIHDhzAxo0bAZSek9XT0xMWNyUlpcIza3Xr1kVubq6wuEDpVKKMjAwsWrRI61OJli1bhu3bt2PVqlWYMmWK6rqdnR38/f2FJprR0dFwcXGBtbU1UlJS0L59e6Snp0OSJKFDGOrXr49hw4YJ+/pVRVxcHBYuXPjK+8OHD3/tHHJN6NOnD2bPno3Q0FA0bdoUQGl7JS8vr3JdHqhqY6JJNVZBQYGqCOhlhYWFeP78uQ5WVLP17NkThw8fhp2dHUaNGoXZs2cjJiYGhw8fFv6Lwd3dHaNGjVIlXGVTcc6cOSN0ao+FhQVSU1PVpqgAQGxsrPAd6tjY2Ap3fLThhx9+QGBgIPr27avWZsje3v6VrXE0ZcGCBfD29oafnx9MTU2xe/duNGrUSNWzVpR3ZSTi/fv30axZs1feb9asGR48eCB8HevXr4erqyusrKxgaWkJmUyGjIwM2NnZISQkRHh80hwmmlRjde7cGYGBgVi3bp3a9U2bNuHvf/+7jlZVc61fv17VJHzBggWoVasWYmNj8fHHHwsfS/nPf/4T7du3R2ZmJkaOHKnqKKCnp4f58+cLiztt2jTMnj0bQUFBkMlkuHPnDk6dOgUfHx9hM7fLWFpa6mw3/Pbt27C1tS13vaSkBIWFhUJjJyUlITQ0FACgr6+P58+fo06dOvDz84Orqys8PDyExS4qKsLRo0eRlpaGcePGwdTUFHfu3EHdunVVk4KquxcvXsDAwOCV9/X19csdVxDB0tIScXFxOHz4MJKTkyFJEpRKpap3LVUfTDSpxlq2bBn69euHixcvqnbUoqOjce7cOWENh99lDRo0UH0sl8sxb948zJs3T2vxR4wYAQBqE3FE9/ubN2+equVKfn4+PvzwQxgaGsLHxwczZ84UGjsgIADz58/H5s2by+2oitauXTscP368XL/FXbt2Ce9zWLt2bRQUFAAobeeUlpaGdu3aASjdjRPl5s2bGDhwIDIyMlBQUAAnJyeYmppi1apVyM/Px6ZNm4TF1rZFixa9crSo6GMwQGlCb2RkhPj4eDg5OameUFD1xESTaixHR0ecOnUK3377LcLDw2FsbAx7e3ts3bq1Sk3s0ebZOpH2798PPT09DBgwQO36oUOHUFxcjEGDBgmLrcvilGXLluHLL7/ElStXUFJSAqVSqZXdrdGjRyMvLw8tW7aEiYlJueKUnJwcYbGXLFmCCRMm4Pbt2ygpKUFERARSUlLwww8/4KeffhIWFwC6du2KEydOQKlUwtnZGd7e3khMTERERAS6du0qLO7s2bPRqVMnXLx4EQ0bNlRdHzZsGD777DNhcbXtww8/REpKymtfI5K+vj4UCoXQgjbSHladE+nYy9XK1Zm9vT1WrlxZrqH1gQMH4Ovri4sXLwqL7efnh+3bt8PPzw9TpkzBpUuXYGNjg/DwcPj7++PUqVPCYuvK9u3b//S+6N3cgwcPYvny5Th//jxKSkrQsWNHLF68GP379xca9/r163j69Cns7e2Rl5cHHx8fxMbGwtbWFv7+/n861eavMDc3x4kTJ9C6dWu1f7Pp6elQKpVa2enThfv370Mmk6kl19qwbds27Nq1CyEhIWpPS6j6YaJJNUplWl7UrVtX4EqAR48eobi4uNz/JHNycqCvr6+Kn5mZiaZNmwqtjtYGY2NjJCUllXuMm56ejnbt2uHZs2fCYtva2mLz5s3o27evWhKQnJyMbt264eHDh0LiPnv2DCtXrnzl/GtRU2pI+xo0aIDY2FgolUq1n7HY2FgMHz4cd+/e1fUSNSY3Nxdffvkl/vOf/6j+7ZiZmWHMmDH4+uuvUb9+feFrcHBwQGpqKgoLC6FQKFC7dm21+3FxccLXQJrBR+dUo9SvX/+1j6IlSRI+Jg8AxowZU2Efz/DwcLU+npaWlkLXoS316tXD9evXyyWaqamp5X5JaJquilM+++wzHDt2DBMmTNB6i6GXPX/+vNzfU/QbKaC0cKSiBLtFixbCYk6cOBGTJk3S2ijEMk5OTggICEBgYCCA0iMvT58+xZIlS2rUWMqcnBx069YNt2/fhpubG9q2bQtJkpCUlITg4GBER0fj5MmTwke7Dh06FDKZrMa0f3uXMdGkGuXIkSNv9LoLFy4IXkn16eOpKS4uLpgzZw4iIyPRsmVLAKVJpre3N1xcXITG1lVxyi+//IKff/4Zjo6OwmK8yrNnz+Dr64vw8PAK282IfCN17do1TJo0CSdPnlS7ro03cU+ePEH//v1haWkJd3d3fPrpp3/ajkdT/P390bt3byiVSuTn52PcuHG4du0azM3NVVXwNYGfnx8MDAyQlpaGxo0bl7vXv39/+Pn5wd/fX0j8vLw8zJ07F3v27EFhYSH69u2LdevWwdzcXEg80gIdTCMi0onc3Fxpw4YNkoODgySXy4XHMzExkRISEspdT0hIkIyNjYXH17bc3Fypa9eukr6+vmRlZSVZWVlJ+vr6Uu/evaWHDx8Kjb1v3z6pXr160sqVKyUTExPp22+/lT777DPJwMBAOnTokLC4VlZWarOYtWnGjBlS27ZtpV27dknGxsZSUFCQ9NVXX0nNmzeXQkJChMbu3r279OGHH0r79++XLly4IMXHx6v9Ee3+/ftSQECA1KFDB0lfX18aOHCgtGvXLunFixdC4+bl5UlBQUHS559/Lnl4eEhbtmyR8vLyhMbUNoVCIR04cOCV93/55RdJoVAIi+/j4yOZmJhIU6ZMkTw9PSVzc3NpxIgRwuKReEw0qcaLjo6W3NzcJGNjY6lNmzbSl19+KcXFxQmP26tXL2nmzJnlrs+YMUPq0aOH8Pi6UFJSIh08eFBatWqVtG7dOunYsWNai33gwAHpww8/lGrXri0ZGxtLjo6O0sGDB4XG3LFjhzRixAjp2bNnQuNUxNLSUjpy5IgkSZJkamoqXbt2TZIkSfrhhx+Ez1k3MTGRkpKShMZ4U3FxcdLMmTMlIyMjydzcXJozZ4509epVjcc5duyYVFhYWO56YWGhVn/ORTMwMJAyMzNfeT8zM1MyNDQUFt/GxkYKDQ1VfX7mzBlJX19fKioqEhaTxOKjc6qRbt26heDgYAQFBeHZs2cYNWoUCgsLsXv3biiVSq2s4V3s4ymTydC/f3/hlccVGTBgQLnWSiI4ODioncVMTU1F48aNYWVlVa7FkMiChZycHFhbWwMoPY9Z1s6oR48eQpuWA4BSqRTas/JNZWVl4dChQzh06BD09PQwePBgXL58GUqlEqtWrYKXl5fGYvXu3RtZWVlo1KiR2vWyPqo1pRWPubk50tPT0bx58wrv37hxQ2gFemZmJnr27Kn6vEuXLtDX18edO3dqzHn2dw0TTapxBg8ejNjYWAwZMgTr1q3DwIEDoaenp/WGytWlj+dfsXbt2jd+raenp8CVlNJGccrQoUM19rX+irLWOgqFAkqlEuHh4ejSpQuioqKEVAW/3NHhm2++wbx587B8+XLY2dmVS7BFFiIVFhZi37592LZtGw4dOgR7e3t4eXnBzc0NpqamAICwsDB4eHhoNNGU/u/86R89ePBAeLGbNg0cOBBffvklDh8+XG5CUEFBARYtWiR01GdxcXG5uPr6+hWOE6bqge2NqMbR19eHp6cnPDw81BK6WrVq4eLFi1rb0XwXlO2ovY5MJhPa6keXxSm64u/vDz09PXh6euLIkSNwdnZGcXExioqKsGbNGsyePVuj8eRyuVqiVVHipY3vt7m5OUpKSjB27FhMmTKlwlnvDx8+RMeOHXHjxo2/HO/jjz8GAOzduxcDBw5UjTcFSpOihIQEtG7dGgcOHPjLsaqCW7duoVOnTjA0NMTnn3+ONm3aAACuXLmCjRs3oqCgAL/99puw3UW5XI5BgwapfZ+joqLQp08ftYQ+IiJCSHzSPO5oUo1z/PhxBAUFoVOnTmjTpg0mTJiA0aNHayX248ePVbs5r+vpqY32M6Jp4he5JkycOBH6+vr46aeftNZmaNeuXarK2H79+mHq1KnCY77s5d263r17Izk5Gb/99htatmyJ999/X+Px3rSjg2j+/v4YOXIkjIyMXvkaMzMzjf1s1qtXD0BpEm1qagpjY2PVPQMDA3Tt2hVTpkzRSKyqoHnz5jh16hRmzJiBBQsWqNoLyWQyODk5Yf369UIfYVc0aGD8+PHC4pF43NGkGisvLw9hYWEICgrC2bNnUVxcjDVr1mDSpEmqR2yapqenpzrH9ccdoDI1eZetIomJidi6dSsCAgKExahduzbOnz+v2n0RLTAwENOnT0erVq1gZGSES5cuYd68eVixYoVW4gOljfC1PeO8KnjTQQiatnTpUvj4+NSox+Sv8/DhQ1y7dg1A6VAETuiht8FEk94JKSkp2Lp1K3bs2IHc3Fw4OTlh3759Go9z7NgxODo6Ql9fH8eOHfvT1/bq1Uvj8auKx48fIzQ0FFu3bsVvv/0Ge3t7xMfHC4vXuXNn+Pv7o0ePHsJivMzOzg5Dhw7FV199BQAIDg7GrFmz8OTJE63EB0ofMXbv3h0TJkzAyJEjtZIE/LHHYb9+/bB27Vqt9jgcNGhQhYMQNm3apDYIgYiqCJ3UuhPpSFFRkRQZGSn94x//0PVSaqSjR49KEyZMkExMTCS5XC75+vqq2u6IFB0dLXXr1k06cuSIdP/+fenRo0dqfzTNxMRESktLU31eVFQk1apVS8rKytJ4rFc5f/685OPjIzVv3lwyNDSUXFxcpPDwcCk/P19YzJd7HM6aNUsnPQ7NzMwq7F2alJQkNWjQQFjc7Oxsafz48ZKFhYWkp6cnyeVytT9EVDHuaBJpUEJCwhu/1t7eXuBKtCcrKwvbtm1TtZIaO3Ysxo0bh27dummt+EoulwOA1opT5HI5srOz1VrdvDz/WpskScLRo0fx448/Yvfu3SguLsbw4cMRFBSk8VgtW7bEsmXLMGbMGADA2bNn4ejoiPz8fOjp6Wk8XkVq166N06dPw87OTu16YmIiPvjgA+Tl5QmJO2jQIGRkZGDmzJkVngN2dXUVEpeoumOiSaRBZecyX/fPqiad0TQyMsLIkSMxfvx4ODk5qZI+bVb5a/uYglwux9dff406deqorvn6+mLu3Llqj5G10dLpZXFxcZg8eTISEhKE/HwZGBjgxo0baiMfjY2NcfXqVa31OPzoo49gZ2eHdevWqV3//PPPkZCQgOPHjwuJa2pqiuPHj1dY5U5Er8aqcyINqipV2NqkUCgQGxuLFi1aQKFQaK0g52XaPu/aokULbNmyRe1akyZNsGPHDtXnMplMK4lmZmYmQkND8eOPPyIxMRHdunXD+vXrhcSqCj0OdTUIwdLS8rVvIImoPCaaRBqkUCh0vQStS0lJwYkTJ7B161Z07twZf/vb31TtSLTRZgh49ZEFmUwGIyMjtGjRQq0v31+Vnp6usa/1tgIDA7Fz506cOHECrVu3hpubG/bs2SO0El2SJEycOFHte5mfn4/p06drrcdh2SCEVatWaXUQQkBAAObPn4/Nmze/k9X+RG+Lj86JBLty5QoyMjLw4sULtesuLi46WpE4T58+RWhoKIKCgnDmzBn06tUL48aNw9ChQ/Hee+8Ji/uqVlJlatWqhdGjR2Pz5s1/2n9RFDs7O+zfv1+jj5ctLS0xZswYuLm5ae1xrru7+xu9btu2bYJXon1mZmbIy8tDUVERTExMyk1DKhsBSkTqmGgSCXL9+nUMGzYMiYmJauc2yxKimnJG81WSkpJULaVycnJQWFgoLNbevXtVZyS7dOkCSZJw7tw5fPfdd1iyZAmKioowf/58jB49GqtXrxa2jlcRUSgkvWIkYlVy69YtNG3aVHVuV1OKi4uxZ88eJCUlQSaTQalUwsXFRWhB0vbt2//0fkWNxomIiSaRMP/4xz+gp6eHLVu2wMbGBmfPnsWDBw/g7e2N1atXo2fPnrpeolYUFRVh3759qlF+K1euxPTp0zU6j7tLly746quvMGDAALXrBw8exKJFi3D27Fns2bMH3t7eSEtL01jcNyWyIj0vL6/CHfOq0NWgbt26iI+P1+jfOzU1Fc7Ozrh16xZat24NSZJUxUg///wzWrZsqbFYRPTXMdEkEsTc3BwxMTGwt7dHvXr1cPbsWbRu3RoxMTHw9vbGhQsXdL1EnRCRfBgbG+PChQvlCpGSk5Ph4OCA58+fIz09HUqlUlj7mz8jItH8/fffMXHixFfO2K4KO+Yi/t6DBw+GJEnYuXOnqkn9gwcPMH78eMjlcvz8888aiwW8fpRsmZowUpZIBM0+zyAileLiYlX7G3Nzc9y5cwdAacFQSkqKLpemUyLe27Zp0wYrV65U29UrLCzEypUrVcnn7du30bhxY43H1pU5c+YgNzcXp0+fhrGxMQ4cOIDt27ejVatWQqZeVRXHjh3DqlWr1CYhNWzYECtXrnxtm6u3Ub9+fZiZmb3yT9l9IqoYq86JBGnfvj0SEhJgY2ODDz74AKtWrYKBgQECAwO13tS7ptuwYQNcXFzQvHlz2NvbQyaTqXpJ/vTTTwBKz8z+cWxhdRYTE4O9e/eic+fOkMvlUCgUcHJyQt26dbFixQo4OzvreolCGBoaVjjq8+nTp+VaL2nCkSNHNP41id4lTDSJBFm4cCGePXsGAPj6668xZMgQ9OzZEw0bNkRYWJiOV1ezdO/eHenp6QgJCcHVq1chSRJGjBiBcePGwdTUFAAwYcIEHa9Ss549e6aaTNSgQQP8/vvv+Nvf/gY7OzvExcXpeHXiDBkyBFOnTsXWrVvRpUsXAMCZM2cwffp0IZ0cKtujVcQZZKLqjIkmkSAvF6bY2NjgypUryMnJgZmZWZWvFq6O6tSpg+nTp+t6GRXavHmzxh/bt27dGikpKbCyskKHDh1U/R03bdoECwsLjcZ6WyJ+zteuXYtPP/0U3bp1U7UYKioqgouLC77//nuNx6us5cuXY9SoUUw0if4PE00iDZs0adIbvU7ELOp3nTZ6lq5du/aNX1s2GWjcuHEai19mzpw5yMrKAgAsWbIEAwYMwM6dO2FgYIDg4GCNx3sbIs7j1q9fH3v37sW1a9eQnJwMSZKgVCpha2ur8Vhvg/W1ROpYdU6kYWXn5RwcHP70l05kZKQWV1V1DB48GFu3btXorps2e5ZaW1u/0etkMhmuX7+usbivk5eXh+TkZLRo0UJt3rouZWZmomnTpkL7W1Y1IltZEVVHTDSJNGzGjBkICwtDixYtMGnSJIwfP16tQrYmKykpQWpqKu7du4eSkhK1ex9++KGwuOxZKl5ZH9Q3IXIEZXFxMYKDgxEdHV3hz1lMTIyw2G+CiSaROj46J9KwjRs3wt/fHxEREQgKCsKCBQvg7OyMyZMno3///jX2fObp06cxbtw43Lx5s9xOrkwmE9rX8dSpU4iJicF7770HuVwOuVyOHj16YMWKFfD09KwxPUu/+OKLN37tmjVrNBq7Xr16qo8lSUJkZCTq1auHTp06AQDOnz+P3NzcSiWkb2P27NkIDg6Gs7Mz2rdvX2P/PRHVFEw0iQQwNDTE2LFjMXbsWNy8eRPBwcGYMWMGCgsLceXKFVV/zZpk+vTp6NSpE37++WdYWFhoNQGoqGdp69attdKz9NatW9i3b1+FZ0M1ney9acIs4nv/8vxyX19fjBo1Cps2bVI9Fi8uLsaMGTOENy4PCwtDeHg4Bg8eLDQOEWkGE00iwWQymerc4B8f89Uk165dw3//+1+dFGXoqmdpdHQ0XFxcYG1tjZSUFLRv3x7p6emQJAkdO3bUeLwjR47g+vXrsLKy0vj88MoICgpCbGys2tlLPT09fPHFF+jevTu+/fZbYbENDAy0/jNWVFSEnTt3YsCAAWjSpMmfvrZnz54wNjbW0sqIqj5OBiISoKCgAKGhoXByckLr1q2RmJiI9evXIyMjo0buZgLABx98gNTUVJ3EXrhwoSqJ//rrr3Hz5k307NkT+/fvF9ryZsGCBfD29salS5dgZGSE3bt3IzMzE7169cLIkSOFxGzVqhXu37+v+nz06NG4e/eukFivUlRUhKSkpHLXk5KShL+Z8vb2xvfff6/V6m59fX14eHigoKDgta/dv39/lWkvRVQVcEeTSMNeLgZyd3dHWFgYGjZsqOtlCZGQkKD6eNasWfD29kZ2djbs7OxUPQ7L2NvbC1uHrnqWJiUlITQ0FEBpMvL8+XPUqVMHfn5+cHV1hYeHh8Zj/jHB2r9/P1asWKHxOH/G3d0dkyZNQmpqKrp27Qqg9IzuypUr4e7urvF4fzz3GRMTg19++QXt2rUr93MmqhDpgw8+QHx8PBQKhZCvT1RTMdEk0rBNmzahRYsWsLa2xrFjx145f1lkZa62dOjQQa2dEKDeR7TsnqhiIF33LK1du7Zql6tp06ZIS0tDu3btAEBt17GmWb16NZo0aQJ/f39VL08LCwvMmzcP3t7eGo/3ciESAAwbNkzjMV5nxowZ+OKLL5CZmYm///3vqF27ttp9kW+kiKoztjci0rCJEye+0S7ay8UV1dXNmzff+LUidoJ03bN06NChcHZ2xpQpUzBv3jxERkZi4sSJiIiIgJmZGX799VeNx9TT00N2djbee+89AKXtdBISEt64v6emPX78GACEFwHpWkVnYkW/kSKqCZhoElG1peuepdevX8fTp09hb2+PvLw8+Pj4IDY2Fra2tvD39xeWXA8aNAiGhoYAgKioKPTp06fcDltN2DGvSJ8+fRAREVFuxOPjx48xdOhQYX00X/emio/UiSrGRJOINGL79u0wNzeHs7MzAGDevHkIDAyEUqlEaGiosF/EBQUFqp6lJ0+erPE9S9/0DKSmd8w7duyI6OhomJmZwcHB4U+/t3FxcRqN/TK5XI7s7Gw0atRI7fq9e/fQrFkzFBYWCotNRJXHM5pEpBHLly/Hv/71LwClDdTXr1+PgIAA/PTTT/Dy8hK2w6bLnqU2NjY4d+5cuWKv3NxcdOzYUcgISl0duXB1dVXtog4dOlTr8V8uPLty5Qqys7NVnxcXF+PAgQNo1qyZ0DWkpaUhICAASUlJkMlkaNu2LWbPno2WLVsKjUtUnTHRJCKNyMzMVPU33LNnD0aMGIGpU6fC0dERH330kVbWoO2epenp6RWezSsoKMDt27eFx9emJUuWVPixtpQVnslkMvTp06fcfWNjY6xbt05Y/IMHD8LFxQUdOnSAo6MjJEnCyZMn0a5dO0RFRcHJyUlYbKLqjIkmEWlEnTp18ODBA7Ro0QKHDh2Cl5cXAMDIyAjPnz8XFvflR+exsbEYMmQI1q9fj4EDBwprar5v3z7VxwcPHlSrii4uLkZ0dDSsrKyExK5Kzp8/r9rdUyqVcHBwEBbrxo0bkCRJNcu+rBgKKG3i3qhRI7UG8po2f/58eHl5YeXKleWu+/r6MtEkegWe0SQijXBzc0NycjIcHBwQGhqKjIwMNGzYEPv27cOCBQtw+fJljcf8Y8/S8ePHa6VnaVkC+8fWTgBQq1YtWFlZ4bvvvsOQIUOEr0UX7t27hzFjxuDo0aOoX78+JEnCo0eP0Lt3b4SFhaklgTWFkZEREhMT0apVK7XrV69ehb29PfLz83W0MqKqjTuaRKQRGzZswMKFC5GZmYndu3erEr7z589j7NixQmLqqmdp2WN5a2trnDt3Dubm5hr9+lXdrFmz8PjxY1y+fBlt27YFUHpu8tNPP4Wnp6eqib0oV69exdGjR3Hv3r1yRyQWL14sJOZ7772H+Pj4colmfHx8ucIkIvp/3NEkIiEePXqEnTt34t///jcuXrwopM/gu9SztCqpV68efv31V3Tu3Fnt+tmzZ9G/f3/k5uYKi71lyxZ4eHjA3NwcTZo0UfvvL5PJhFW8+/n5wd/fH/Pnz0f37t0hk8kQGxuLb775Bt7e3li4cKGQuETVHRNNItKomJgYBAUFISIiAgqFAsOHD8fw4cOFnt/TpWPHjmH16tVqlchz585Fz549db00YUxNTXH8+HF06NBB7fqFCxfQq1cvVRN3ERQKBWbMmAFfX19hMSoiSRICAgLw3Xff4c6dOwBKp0HNnTsXnp6eNbKVFpEmMNEkor/s1q1bCA4ORlBQEJ49e4ZRo0Zh06ZNuHjxIpRKpa6XJ0xISAjc3d3x8ccfq1UiR0ZGIjg4GOPGjdP1EoVwdXVFbm4uQkND0bRpUwDA7du34ebmBjMzM2GTmIDSCUTx8fGwsbERFuN1njx5AqA04SaiP8dEk4j+ksGDB6uqvd3c3DBw4EDo6emhVq1aNT7RbNu2LaZOnaqqsC+zZs0abNmyBUlJSTpamViZmZlwdXXFpUuXYGlpCZlMhoyMDNjZ2WHv3r1o3ry5sNiTJ09G586dMX36dGExiEhzmGgS0V+ir68PT09PeHh4qBVKvAuJpqGhIS5fvqzqH1omNTUV7du3r/GVyIcPH0ZycjIkSYJSqUS/fv2Ex1yxYgXWrFkDZ2dn2NnZoVatWmr3PT09NRbrdROQXiZyGhJRdcaqcyL6S44fP46goCB06tQJbdq0wYQJEzB69GhdL0srLC0tER0dXS7RjI6OhqWlpY5WpT1OTk5a7x8ZGBiIOnXqVNhlQCaTaTTR1MUEJKKahjuaRKQReXl5CAsLQ1BQEM6ePYvi4mKsWbMGkyZNqnFn2SZNmoTvv/8eISEhmDNnDiZNmqRWiRwcHIzvv/8e06ZN0/VShYmOjkZ0dHSFLYaCgoJ0tCoiqmqYaBKRxqWkpGDr1q3YsWMHcnNz4eTkpDZNp7rT09NDVlYWGjVqhMjISHz33Xeq85hlVeeurq46XqU4S5cuhZ+fHzp16gQLC4tyj5dFFgPpmjanIRHVBEw0iUiY4uJiREVFISgoqEYlmnK5HNnZ2e9so24LCwusWrUKEyZM0En8W7duYd++fcjIyMCLFy/U7q1Zs0ZIzHdxGhKRJjDRJCKqJLlcjrt3776zyUXDhg1x9uxZtGzZUuuxo6Oj4eLiAmtra6SkpKB9+/ZIT0+HJEno2LEjYmJihMQdPXo00tLSsGPHjnLTkGxtbYVPQyKqrphoEhFVklwuR7169V5bkZyTk6OlFWmXr68v6tSpg0WLFmk9dpcuXTBw4ED4+fnB1NQUFy9eRKNGjVSttTw8PITE1eU0JKLqjFXnRERvYenSpahXr56ul6ET+fn5CAwMxK+//gp7e/tyLYZEPb4GgKSkJNXuob6+Pp4/f446derAz88Prq6uwhLNkpKScn9PoLSN1x+LoYjo/zHRJCJ6C2PGjHlnz2gmJCSoxk9eunRJ7Z7oUYy1a9dGQUEBgNIRkGlpaWjXrh0A4P79+8Li9unTB7Nnzy43DcnLywt9+/YVFpeoumOiSURUSe/6XOsjR47oLHbXrl1x4sQJKJVKODs7w9vbG4mJiYiIiEDXrl2FxV2/fj1cXV1hZWVVbhpSSEiIsLhE1R3PaBIRVdK7XnWuS9evX8fTp09hb2+PvLw8+Pj4IDY2Fra2tvD394dCoRAaXxfTkIiqMyaaRERUaefOncOuXbsqbDEUERGho1VpXkxMDGbOnInTp0+jbt26avcePXqE7t27Y9OmTejZs6eOVkhUtcl1vQAiIqpewsLC4OjoiCtXriAyMhKFhYW4cuUKYmJitFYgdf78eYSEhGDnzp24cOGCsDgBAQGYMmVKuSQTKK1EnzZtmtDiJ6LqjjuaRERUKfb29pg2bRo+//xzVYsha2trTJs2DRYWFli6dKmw2NpunK5QKHDgwAFV78w/Sk5ORv/+/ZGRkaHRuEQ1BXc0iYioUtLS0uDs7AwAMDQ0xLNnzyCTyeDl5YXAwEChsWfNmoXHjx/j8uXLyMnJwcOHD3Hp0iU8fvwYnp6eGo939+7dCtsaldHX18fvv/+u8bhENQUTTSIiqpQGDRrgyZMnAIBmzZqpWhzl5uYiLy9PaOwDBw7gX//6l9oOo1KpxIYNG/DLL79oPF6zZs2QmJj4yvsJCQmwsLDQeFyimoKJJhERVUrPnj1x+PBhAMCoUaMwe/ZsTJkyBWPHjhXeU1LbjdMHDx6MxYsXIz8/v9y958+fY8mSJRgyZIjG4xLVFDyjSURElZKTk4P8/Hw0bdoUJSUlWL16tarF0KJFi2BmZiYstqurK3Jzc8s1Tndzc4OZmRkiIyM1Gu/u3bvo2LEj9PT0MHPmTLRu3RoymQxJSUnYsGEDiouLERcXh8aNG2s0LlFNwUSTiIiqjczMTLi6uuLSpUvlGqfv3bsXzZs313jMmzdvwsPDAwcPHkTZr0yZTIYBAwZg48aNsLKy0nhMopqCiSYREVVK7969MX78eIwYMUJn89510Tj94cOHSE1NhSRJaNWqldCdW6KagokmERFViqenJ3bt2oXc3FwMHjwYEyZMwODBg2FgYCA0blFREYyMjBAfH4/27dsLjUVEmsFiICIiqpS1a9fi9u3b2Lt3L0xNTfHpp5+iSZMmmDp1Ko4dOyYsrr6+PhQKBYqLi4XFICLN4o4mERH9Jfn5+YiKisKyZcuQmJgoNBHctm0bdu3ahZCQEDRo0EBYHCLSDCaaRET01rKzsxEWFoaQkBDExcWhc+fOOHPmjLB4Dg4OSE1NRWFhIRQKBWrXrq12Py4uTlhsIqo8fV0vgIiIqpfHjx9j9+7d+PHHH3H06FHY2Nhg3LhxCAsLg62trdDYQ4cOhUwmA/dIiKoH7mgSEVGlGBsbw8zMDKNGjYKbmxs6d+4sPGZeXh7mzp2LPXv2oLCwEH379sW6detgbm4uPDYRvT0mmkREVCmHDh1Cv379IJdrr5507ty52LhxI9zc3GBsbIwff/wRH330EXbt2qW1NRBR5THRJCKiKq9ly5ZYtmwZxowZAwA4e/YsHB0dkZ+fDz09PR2vjohehYkmERFV2n//+1+Eh4cjIyMDL168ULsnoiDHwMAAN27cQLNmzVTXjI2NcfXqVVhaWmo8HhFpBvtoEhFRpaxduxbu7u5o1KgRLly4gC5duqBhw4a4fv06Bg0aJCRmcXFxuYbw+vr6KCoqEhKPiDSDO5pERFQpbdq0wZIlSzB27FiYmpri4sWLsLGxweLFi5GTk4P169drPKZcLsegQYNgaGiouhYVFYU+ffqotTiKiIjQeGwientMNImIqFJMTEyQlJQEhUKBRo0a4fDhw3j//fdx7do1dO3aFQ8ePNB4THd39zd63bZt2zQem4jeHvtoEhFRpTRp0gQPHjyAQqGAQqHA6dOn8f777+PGjRvC+lsygSSqnnhGk4iIKqVPnz6IiooCAEyePBleXl5wcnLC6NGjMWzYMB2vjoiqEj46JyKiSikpKUFJSQn09UsfioWHhyM2Nha2traYPn16uaIdInp3MdEkIiIiIiF4RpOIiF4rISHhjV9rb28vcCVEVJ1wR5OIiF5LLpdDJpO9tthHJpOhuLhYS6sioqqOO5pERPRaN27c0PUSiKga4o4mERG9VseOHREdHQ0zMzP4+fnBx8cHJiYmul4WEVVxTDSJiOi1jI2Nce3aNTRv3hx6enrIyspCo0aNdL0sIqri+OiciIheq0OHDnB3d0ePHj0gSRJWr16NOnXqVPjaxYsXa3l1RFRVcUeTiIheKyUlBUuWLEFaWhri4uKgVCpVfTRfJpPJEBcXp4MVElFVxESTiIgqRS6XIzs7m4/Oiei1mGgSERERkRA8o0lERJV29epVHD16FPfu3UNJSYnaPZ7RJKIy3NEkIqJK2bJlCzw8PGBubo4mTZpAJpOp7vGMJhG9jIkmERFVikKhwIwZM+Dr66vrpRBRFcdEk4iIKqVu3bqIj4+HjY2NrpdCRFWcXNcLICKi6mXkyJE4dOiQrpdBRNUAi4GIiKhSbG1tsWjRIpw+fRp2dnaoVauW2n1PT08drYyIqho+OiciokqxtrZ+5T2ZTIbr169rcTVEVJUx0SQiIiIiIXhGk4iI3pokSeB+BRG9ChNNIiKqtB9++AF2dnYwNjaGsbEx7O3tsWPHDl0vi4iqGBYDERFRpaxZswaLFi3CzJkz4ejoCEmScOLECUyfPh3379+Hl5eXrpdIRFUEz2gSEVGlWFtbY+nSpfjkk0/Urm/fvh3//Oc/cePGDR2tjIiqGj46JyKiSsnKykL37t3LXe/evTuysrJ0sCIiqqqYaBIRUaXY2toiPDy83PX//Oc/aNWqlQ5WRERVFc9oEhFRpSxduhSjR4/G//zP/8DR0REymQyxsbGIjo6uMAEloncXz2gSEVGlnT9/HmvWrEFycjIkSYJSqYS3tzccHBx0vTQiqkKYaBIRERGREHx0TkREb0Qul0Mmk/3pa2QyGYqKirS0IiKq6phoEhHRG4mMjHzlvZMnT2LdunWcEkREavjonIiI3lpycjIWLFiAqKgouLm54auvvkKLFi10vSwiqiLY3oiIiCrtzp07mDJlCuzt7VFUVIT4+Hhs376dSSYRqWGiSUREb+zRo0fw9fWFra0tLl++jOjoaERFRaF9+/a6XhoRVUE8o0lERG9k1apV+Oabb9CkSROEhobC1dVV10sioiqOZzSJiOiNyOVyGBsbo1+/ftDT03vl6yIiIrS4KiKqyrijSUREb+STTz55bXsjIqKXcUeTiIiIiIRgMRARERERCcFEk4iIiIiEYKJJREREREIw0SQiIiIiIZhoEhEREZEQTDSJiIiISAgmmkREREQkxP8CF2mfSnmqrxAAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 640x480 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "sns.heatmap(wine_cor) #there are very few colours in orange-purple, \n",
    "#no need to reduce the features to prevent multi collinearity"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "32f1aaf7",
   "metadata": {},
   "outputs": [],
   "source": [
    "from sklearn.preprocessing import StandardScaler\n",
    "scaler =StandardScaler()\n",
    "x = wine.iloc[:,:].values\n",
    "\n",
    "x = scaler.fit_transform(x)\n",
    "#standardising the data, as the feature values have different scales"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "61af71ac",
   "metadata": {},
   "outputs": [],
   "source": [
    "from sklearn.decomposition import PCA\n",
    "\n",
    "# Create an instance of the PCA class\n",
    "pca = PCA(n_components=2)\n",
    "\n",
    "# Fit the PCA model to the dataset\n",
    "pca.fit(x)\n",
    "\n",
    "# Transform the data to the first two principal components\n",
    "x= pca.transform(x)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "ebd98442",
   "metadata": {},
   "source": [
    "Kmeans"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "b9a546ea",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from sklearn.cluster import KMeans\n",
    "from sklearn.metrics import silhouette_score\n",
    "#list of scores\n",
    "sil_scores = []\n",
    "\n",
    "# Loop over different values of n_clusters\n",
    "for n_clusters in range(2, 11):\n",
    "    # Fit the K-Means model\n",
    "    kmeans = KMeans(n_clusters=n_clusters, random_state=0)\n",
    "    kmeans.fit(x)\n",
    "    labels = kmeans.labels_\n",
    "    \n",
    "    # Compute the silhouette score for the current n_clusters\n",
    "    sil_scores.append(silhouette_score(x, labels))\n",
    "\n",
    "# Plot the silhouette scores\n",
    "plt.figure()\n",
    "plt.plot(range(2, 11), sil_scores, label=\"Silhouette Score\")\n",
    "plt.xlabel(\"Number of clusters\")\n",
    "plt.ylabel(\"Score\")\n",
    "plt.legend()\n",
    "plt.title('Silehouette method- Kmeans')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "id": "19b4fe37",
   "metadata": {},
   "outputs": [],
   "source": [
    "from sklearn.cluster import KMeans\n",
    "\n",
    "wcss = []\n",
    "for i in range(1, 11):\n",
    "    kmeans = KMeans(n_clusters=i, init='k-means++', max_iter=300, n_init=10, random_state=0)\n",
    "    kmeans.fit(x)\n",
    "    wcss.append(kmeans.inertia_)\n",
    "\n",
    "#using elbow method to find the optimum clusters"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "id": "1451f1f4",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(range(1, 11), wcss)\n",
    "plt.title('Elbow Method')\n",
    "plt.xlabel('Number of clusters')\n",
    "plt.ylabel('WCSS')\n",
    "plt.show() #according to the elbow method the optimum number of cluster is 3 "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "id": "0a31d930",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from sklearn.metrics import silhouette_score, calinski_harabasz_score, davies_bouldin_score\n",
    "# Lists to store the scores\n",
    "ch_scores = []\n",
    "db_scores = []\n",
    "sil_scores = []\n",
    "\n",
    "# Loop over different values of n_clusters\n",
    "for n_clusters in range(2, 11):\n",
    "    # Fit the K-Means model\n",
    "    kmeans = KMeans(n_clusters=n_clusters, random_state=0)\n",
    "    kmeans.fit(x)\n",
    "    \n",
    "    # Compute the scores for the current n_clusters\n",
    "    ch_scores.append(calinski_harabasz_score(x, kmeans.labels_))\n",
    "    db_scores.append(davies_bouldin_score(x, kmeans.labels_))\n",
    "    sil_scores.append(silhouette_score(x, kmeans.labels_))\n",
    "\n",
    "# Plot the scores\n",
    "plt.figure()\n",
    "plt.plot(range(2, 11), ch_scores, label=\"Calinski-Harabasz Index\")\n",
    "plt.plot(range(2, 11), db_scores, label=\"Davies-Bouldin Score\")\n",
    "plt.plot(range(2, 11), sil_scores, label=\"Silhouette Score\")\n",
    "plt.xlabel(\"Number of clusters in kmeans\")\n",
    "plt.ylabel(\"Score\")\n",
    "plt.legend()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "id": "47ebb3b1",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "kmeans = KMeans(n_clusters=3, init='k-means++', max_iter=300, n_init=10, random_state=0)\n",
    "pred_y1 = kmeans.fit_predict(x)\n",
    "plt.scatter(x[:,0], x[:,1], c=pred_y1)\n",
    "plt.scatter(kmeans.cluster_centers_[:, 0], kmeans.cluster_centers_[:, 1], s=300, c='red')\n",
    "plt.xlabel('PCA 1')\n",
    "plt.ylabel('PCA 2')\n",
    "plt.title('Kmeans Clustering')\n",
    "plt.show()\n",
    "\n",
    "#visualising the clusters and its centroids"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "0bdd31e9",
   "metadata": {},
   "source": [
    "Gaussian Mixture Model"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "id": "a41c05d4",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from sklearn.mixture import GaussianMixture\n",
    "\n",
    "n_components = range(1, 11)\n",
    "models = [GaussianMixture(n, covariance_type='full', random_state=0).fit(x)\n",
    "          for n in n_components]\n",
    "\n",
    "plt.plot(n_components, [m.bic(x) for m in models], label='BIC')\n",
    "plt.legend(loc='best')\n",
    "plt.xlabel('n_components');\n",
    "plt.show()\n",
    "\n",
    "#using AIC and BIC, finding the optimum clusers\n",
    "#according to the plot, 2 is the optimum cluster for gmm"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "id": "e05fe091",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "\n",
    "# Lists to store the scores\n",
    "sil_scores = []\n",
    "\n",
    "# Loop over different values of n_clusters\n",
    "for n_clusters in range(2, 11):\n",
    "    # Fit the GMM model\n",
    "    gmm = GaussianMixture(n_components=n_clusters, random_state=0)\n",
    "    gmm.fit(x)\n",
    "    labels = gmm.predict(x)\n",
    "    \n",
    "    # Compute the silhouette score for the current n_clusters\n",
    "    sil_scores.append(silhouette_score(x, labels))\n",
    "\n",
    "# Plot the silhouette scores\n",
    "plt.figure()\n",
    "plt.plot(range(2, 11), sil_scores, label=\"Silhouette Score of gmm\")\n",
    "plt.xlabel(\"Number of clusters\")\n",
    "plt.ylabel(\"Score\")\n",
    "plt.legend()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "id": "4522d71c",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.legend.Legend at 0x7fd668906dc0>"
      ]
     },
     "execution_count": 17,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Lists to store the scores\n",
    "ch_scores = []\n",
    "db_scores = []\n",
    "sil_scores = []\n",
    "\n",
    "# Loop over different values of n_clusters\n",
    "for n_clusters in range(2, 11):\n",
    "    # Fit the GMM model\n",
    "    gmm = GaussianMixture(n_components=n_clusters, random_state=0)\n",
    "    gmm.fit(x)\n",
    "    \n",
    "    # Compute the scores for the current n_clusters\n",
    "    ch_scores.append(calinski_harabasz_score(x, gmm.predict(x)))\n",
    "    db_scores.append(davies_bouldin_score(x, gmm.predict(x)))\n",
    "    sil_scores.append(silhouette_score(x, gmm.predict(x)))\n",
    "\n",
    "# Plot the scores\n",
    "plt.figure()\n",
    "plt.plot(range(2, 11), ch_scores, label=\"Calinski-Harabasz Index\")\n",
    "plt.plot(range(2, 11), db_scores, label=\"Davies-Bouldin Score\")\n",
    "plt.plot(range(2, 11), sil_scores, label=\"Silhouette Score\")\n",
    "plt.xlabel(\"Number of clusters in gmm\")\n",
    "plt.ylabel(\"Score\")\n",
    "plt.legend()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "id": "8a0709bb",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Fitting GMM to the dataset\n",
    "import matplotlib.pyplot as plt\n",
    "from sklearn.mixture import GaussianMixture\n",
    "\n",
    "# Fitting GMM to the dataset\n",
    "gmm = GaussianMixture(n_components=3,init_params='kmeans',n_init=1,random_state = 0)\n",
    "gmm.fit(x)\n",
    "gmm_labels = gmm.predict(x)\n",
    "\n",
    "# Visualizing the clusters\n",
    "plt.scatter(x[:, 0], x[:, 1], c=gmm_labels)\n",
    "plt.xlabel('PCA 1')\n",
    "plt.ylabel('PCA 2')\n",
    "plt.title('GMM Clustering')\n",
    "plt.show()\n",
    "\n",
    "#visualising the gmm model using scatter plot"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "id": "044dfccc",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Calinski Harabasz Index of kmeans :  344.79259483209967\n",
      "Davies Bouldin Score of kmeans:  0.5972661544221364\n",
      "Silhouette Score of kmeans: 0.5610505693103246\n",
      "Calinski Harabasz Index of gmm:  340.94214676370336\n",
      "Davies Bouldin Score of gmm:  0.6019141028137758\n",
      "Silhouette Score of gmm : 0.5591116207103001\n"
     ]
    }
   ],
   "source": [
    "from sklearn.metrics import calinski_harabasz_score, davies_bouldin_score\n",
    "from sklearn.metrics import  adjusted_mutual_info_score, silhouette_score\n",
    "\n",
    "ch = calinski_harabasz_score(x,pred_y1)\n",
    "db = davies_bouldin_score(x,pred_y1)\n",
    "score_sil = silhouette_score(x, pred_y1)\n",
    "\n",
    "print(\"Calinski Harabasz Index of kmeans : \", ch)\n",
    "print(\"Davies Bouldin Score of kmeans: \", db)\n",
    "print(\"Silhouette Score of kmeans:\", score_sil)\n",
    "\n",
    "ch = calinski_harabasz_score(x,gmm_labels)\n",
    "db = davies_bouldin_score(x,gmm_labels)\n",
    "score_sil = silhouette_score(x, gmm_labels)\n",
    "print(\"Calinski Harabasz Index of gmm: \", ch)\n",
    "print(\"Davies Bouldin Score of gmm: \", db)\n",
    "print(\"Silhouette Score of gmm :\", score_sil)\n",
    "\n",
    "#comparing the results with different metrics"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "id": "899547e2",
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# KMeans Clustering\n",
    "kmeans = KMeans(n_clusters=3, init='k-means++', max_iter=300, n_init=10, random_state=0)\n",
    "pred_y1 = kmeans.fit_predict(x)\n",
    "\n",
    "# Plotting the KMeans Clustering\n",
    "plt.subplot(1, 2, 1)\n",
    "plt.scatter(x[:, 0], x[:, 1], c=pred_y1)\n",
    "plt.xlabel('feature 1')\n",
    "plt.ylabel('feature 2')\n",
    "plt.title('KMeans Clustering')\n",
    "\n",
    "# GMM Clustering\n",
    "gmm = GaussianMixture(n_components=3)\n",
    "gmm.fit(x)\n",
    "gmm_labels = gmm.predict(x)\n",
    "\n",
    "# Plotting the GMM Clustering\n",
    "plt.subplot(1, 2, 2)\n",
    "plt.scatter(x[:, 0], x[:, 1], c=gmm_labels)\n",
    "plt.xlabel('feature 1')\n",
    "plt.ylabel('feature 2')\n",
    "plt.title('GMM Clustering')\n",
    "\n",
    "plt.subplots_adjust(left=0.1, bottom=0.1, right=0.9, top=0.9, wspace=0.5, hspace=0.5)\n",
    "plt.show()\n",
    "\n",
    "#comparing the both clustering points side by side\n",
    "\n",
    "\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "02550468",
   "metadata": {},
   "source": [
    "Comparision between two model performance"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "id": "ca82b178",
   "metadata": {},
   "outputs": [],
   "source": [
    "#Based on the metrics KMeans outperformed gmm on almost all aspects\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "24b8a58a",
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "25555cc8",
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "1e650d10",
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "9ed25c6f",
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "ed376bea",
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "97bd7020",
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "547da9c0",
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "98e9a6f1",
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "5653c5a0",
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "66eac61a",
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "4bd20b0d",
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "7e558be8",
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "3ffad32b",
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "a7f5219d",
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "f3e0e5fa",
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "9e605c27",
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "79eeeafe",
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "e5f20abd",
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "ab0dc63f",
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "2c03df67",
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "2dd6a39d",
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "e7902fcc",
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "7c7436bc",
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
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