tp_clustering.ipynb 2.75 MB
Newer Older
TheophilePACE's avatar
TheophilePACE committed
1 2 3 4 5 6 7 8 9 10 11 12 13 14
{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# TP Clustering / non-supervisé"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Aujourd'hui, on utilisera les données proposées par scikit learn. Ces données sont déjà nettoyées, déjà prêtes dans la libraries. \n",
15
    "Pour commencer, importez les libraries : numpy, matplotlib et le module datasets de scikit-learn"
TheophilePACE's avatar
TheophilePACE committed
16 17 18 19
   ]
  },
  {
   "cell_type": "code",
TheophilePACE's avatar
TheophilePACE committed
20
   "execution_count": 2,
TheophilePACE's avatar
TheophilePACE committed
21 22
   "metadata": {},
   "outputs": [],
TheophilePACE's avatar
TheophilePACE committed
23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52
   "source": [
    "import numpy as np\n",
    "from matplotlib import pyplot as plt\n",
    "from sklearn import datasets"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "\u001b[0;31mType:\u001b[0m        module\n",
       "\u001b[0;31mString form:\u001b[0m <module 'sklearn.datasets' from '/Users/theophilepace/miniconda3/lib/python3.6/site-packages/sklearn/datasets/__init__.py'>\n",
       "\u001b[0;31mFile:\u001b[0m        ~/miniconda3/lib/python3.6/site-packages/sklearn/datasets/__init__.py\n",
       "\u001b[0;31mDocstring:\u001b[0m  \n",
       "The :mod:`sklearn.datasets` module includes utilities to load datasets,\n",
       "including methods to load and fetch popular reference datasets. It also\n",
       "features some artificial data generators.\n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "datasets?"
   ]
TheophilePACE's avatar
TheophilePACE committed
53 54 55 56 57
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
58 59
    "Maintenant, on va utiliser les fonctions suivantes de la librairie `dataset` : `datasets.make_circles`, `datasets.make_moons`, `datasets.make_blobs`, `datasets.make_blobs`.\n",
    "Consultez la documentation intégrée de ces méthodes.\n",
TheophilePACE's avatar
TheophilePACE committed
60 61 62 63 64 65
    "Vous pouvez trouver des exemples d'utilisation de ces méthodes sur https://scikit-learn.org/stable/auto_examples/cluster/plot_cluster_comparison.html \n",
    "On prendra 1500 individus."
   ]
  },
  {
   "cell_type": "code",
TheophilePACE's avatar
TheophilePACE committed
66
   "execution_count": 4,
TheophilePACE's avatar
TheophilePACE committed
67
   "metadata": {},
TheophilePACE's avatar
TheophilePACE committed
68
   "outputs": [],
TheophilePACE's avatar
TheophilePACE committed
69
   "source": [
TheophilePACE's avatar
TheophilePACE committed
70 71 72 73 74
    "n_samples = 1500\n",
    "random_state=42\n",
    "# le random_state est un outil qui permet de fixer le caractère aléatoiretoujours le d'une méthode. \n",
    "# C'est à dire que si vous utiliser toujours random_state=42, vous générerez même dataset.\n",
    "# vous pouvez essayer de changer le random state pour voir.\n",
TheophilePACE's avatar
TheophilePACE committed
75 76
    "noisy_circles = datasets.make_circles(n_samples=n_samples, factor=.5, noise=.05)[0]\n",
    "noisy_moons = datasets.make_moons(n_samples=n_samples, noise=.05)[0]\n",
TheophilePACE's avatar
TheophilePACE committed
77
    "blobs = datasets.make_blobs(n_samples=n_samples, random_state=random_state)[0]\n",
TheophilePACE's avatar
TheophilePACE committed
78 79 80
    "std_blobs = datasets.make_blobs(n_samples=n_samples, cluster_std=[1.0, 2.5, 0.5], random_state=random_state)[0]"
   ]
  },
TheophilePACE's avatar
TheophilePACE committed
81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "plt.scatter vous permet de tracer un `scatterplot`, c'est à dire un nuage de point ou graphe de répartition. Vous tracer simplement les points dans $R^2$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.collections.PathCollection at 0x1a154afba8>"
      ]
     },
     "execution_count": 14,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAXYAAAD8CAYAAABjAo9vAAAABHNCSVQICAgIfAhkiAAAAAlwSFlzAAALEgAACxIB0t1+/AAAADl0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uIDIuMi4yLCBodHRwOi8vbWF0cGxvdGxpYi5vcmcvhp/UCwAAIABJREFUeJztnX9wHOd537/PHRbkgXZ4ZAQ70lkUZY2HHLOMCBNjMWHrMW1XdCxLgiVbtCq1bp2pJtN6pmRUTKhYESlHrRBjbKqdSZNxUk+dSlGgX4Yp0y7llOxkqg4VgQYoGjVZS5ZE6ahYtAnQFnEkD8DbP+4W3Nt733ffd3fvbnfv+cxwCBz2dt/bvf2+zz7v84OEEGAYhmGyQ67TA2AYhmHihYWdYRgmY7CwMwzDZAwWdoZhmIzBws4wDJMxWNgZhmEyBgs7wzBMxmBhZxiGyRgs7AzDMBmjpxMHveKKK8TatWs7cWiGYZjUcvTo0Z8LIfqDtuuIsK9duxYTExOdODTDMExqIaLXTbZjVwzDMEzGYGFnGIbJGCzsDMMwGYOFnWEYJmOwsDMMw2SMjkTFMOlmfLKM0YMncXq2gquKBQxvX4ehgVKnh8UwTB0WdsaK8cky7nvmOCrVBQBAebaC+545DgAs7gyTENgVw1gxevDkkqi7VKoLGD14skMjYhjGDws7Y8Xp2YrV6wzDtB8WdsaKq4oFq9cZhmk/LOyMFcPb16Hg5BteKzh5DG9f16ERMQzjhxdPGSvcBVKOimGY5MLCzlgzNFBiIWeYBMOuGIZhmIzBws4wDJMxWNgZhmEyBvvYGS4RwDAZg4U9w5gINpcIYJjswcKeUUwFW1UiYO/+6YZJYdv6fhw+cYateoZJAexjzyimNV1UpQBmK1WUZysQqE0Kjx451fD7fc8cx/hkuUWjZxgmCmyxZxTTmi5XFQsoh6jzUqku4MFnp9k3zzAJhC32jGJa00VWIsCUmblGq374qWNsxTNMAmBhzygqwZ67NN8gvkMDJTx820aUigUQgFKxgFV9TqhjVhcE/vCZl8IOmWGYmCAhRNsPOjg4KCYmJtp+3G5jfLKMvfunMVupNrxecPJ4+LaNSreJf+HVlmLBwblKld0zDBMzRHRUCDEYtB372DOAKqxxaKCE0YMnm4S9Ul3AzrEp7BybQp+Tw3+87TebxHdZT25J2HMELFrM/+7xVJE4HDfPMK2FLfYEYiN8Ouu6ZLgwmiPg63dswtBACeOTZQw/eQxVGyUPoFQs4PndH1OO1/8EwcLPMHLYYk8ptglDsrBGl/JsBQQgSKIXBbBzbAqjB09i5vzFWEUdaIzE0YVhuhMLJ0wxTDRY2BOGSvgefHa6wV++qs/Bnps3BLaks5HoMGGPJngjcYLCMIOEn2GYYDgqJmGohG9mrtrgK5+Zq2Ln2JSVcHcCf3eloDBM7qnKMNFhYU8YWesdevvmxqYcqtZ629b3Y+vIIeVElbXzwjCthIU9YURJGEoijx45hYGvPLcUOy+Lm799cwlPHy0rXUHcU5Vh7DD2sRPRNwF8GsDbQoh/VH9tNYAxAGsBvAbgDiHETPzDzA5BER+ynqLnL843hSymiZm5KoafPAbgcls972feOnJIuQBcChEVw1E1TLdjHO5IRB8B8A6Av/II+1cBnBVCjBDRbgCrhBB/ELSvbg13NAn1U71v59hUO4bYUooFB3tv2bAkuisLDohqwq+CACtxDnuO0wRPXN2LabijsStGCPF3AM76Xr4VwLfqP38LwJDxCLsQ04qLfoYGSqHT/JPEbKWKXWNTS/VlZitVragDsK4mGfYcpwV34uJKm4yOqD729woh3gKA+v/viT6k7KKK7DAJM9xz84ZM+N7DRvGYinPWo2qyPnEx8dC2xVMiuoeIJoho4syZM+06bKJQRXYQEGhxuYuOxUL6LfewmEyAplUt00rWJy4mHqIK+8+I6EoAqP//tmpDIcQ3hBCDQojB/v7+iIdNJ8Pb14EkrwvAyOLqdj+qyQSoCqfMSlRN1icuJh6iCvt+AF+o//wFAN+JuL9MMzRQUroiTCyu8clyqqNjomIyAcrCKbO0cJr1iYuJB5twx8cBfBTAFUT0JoA9AEYAPEFEvwvgFIDPtWKQWUJVmMvE4mI/qtkE6A+nzBKycFiOimH8GAu7EOJOxZ8+HtNYuoLh7euk4Xh+i0sW0sZ+VHY5ANmeuJh44LK9HSAoDlkVi72wuIhLC0mvDtM6nBzhXct7MDvHTTyY7sQ0jp2FPYFsHTnUskqLaaPPyaFSXcTKgoPzl+ZR9U1sbtITCzzTDcSeoMTEw/hkGVtHDuHa3QewdeSQNMqDRf0yleoi9u3YhBXLeppEHaglOXETbYZphIW9jZhkDY5PlqUhkd2KGwmjW1+oLgg8+Ox0+wbFMAmHhb2NmGQNjh48mfga6+3GXYvQEVSagGG6CRb2NmKSNciRL80U+xycvzjf6WEwTGrg1nht5CqDGPaVBaerk5D8OHnCOxfmA/uwdnOpBVuSWB0yiWNKMyzsbSQohn18sozzl7rbMi0WHKxY1mNViz4HYO8tG9ozwBiJS8xs9pPEZuFJHFPaYVdMGwlKdx89eFIa+dFN7L1lA57f/TG8OnIThrevM3p6WdnnpE4A4iq/a7ufJFaHTOKY0g5b7G3GmzXoWlq7xqaUbppuw3tu3K5LQcymcOFUJ2Y2k5TtfnTrPJ1yh3DFyvhhYe8QssdPgrxeeZ4ICx1IJGs3eboc6Ll3/3SgX90ljWUG4hIz2/2oDIhin9MWd4hs8jBZe2LsYFdMjJgkH7nILC0BSGPYf63Qg7u3rMlEow0dvT20dO5MF5DTWtkwrvK7tvtRVYcUAi13h6jcRtvW93PFyphhYY8JW1+nyqISaI7wmJmr4umjZdy+uZTp6I9KdXHp3OnIQkneuMrv2u5Htc5zTjGRxukOUbmNDp84k+lSy52AXTExYevrVD1+luqWlt9irVQX8OiRUygVC+h/dy9+8vb5GEefHlb1OXh+98c6PYzIxFV+N8x+ZNUhRw+ebLk7ROc24oqV8cLCHhO2vk5d6OOusSnlccqzFRScPLZetxrPv+LvLZ5tnDxhz83ZCWuMS8zi2I9pOekosC+9fbCwx4Ttl1ZnaamsJ5dKdQHTp38FJ0+ZDo/0x7SnMWklLTHarWzg4U5ssgCBVvrSuznpicv2xoSqhnoYX6FsX91G2HOXNFQlmEvFQqJdSnEmT/m/y664l1ootnHej0nCtGwvW+wxEafF491XN8a2t/KGbzV+QVRdv1bEaLdKjKM8Zaiiv1o9scWVJ5BWWNhjJM4FIHdfKstjuZPLZEXDPFGiLVkdNrkJpn5lU7FutRiHFcVOJR91e9ITC3vCUT0JAFC6a1RikgbuvOFqAI2CtrLggAiJb4mny00I41e2Eet2ibHtU0GnFky7faGWhT0F6J4EvDfZtvX9OHziTCrdN3ki3HnD1XhoaGOToHlDP5O6+AjocxNKxYK1i8RGrOO0UFWiuLJgn53a6mgb1UTTjiifJMPCnmL8dWfSsuAatHgmEzQvSfWV6nITwriXbMQ6TgtVJYpE6uxU1bXQrT1FXRMweaLp1qgYFvYU470xcjHVkyk4+ciTQ1Btm6DFMxMrM4m+UhMr0UbMbMRad2xbAVWJoiq/olx30ejE3f+3ONYEgp5oujnpiYU9pfhvDJ2QFgsOzl+aN4p5X+7ksKwnZ1yrpc/JYa662OBHNplgdMJsUukyib7SICvRVsxs3AmmazGmAmqTneoeI2if/n1FXRPo9gVSHSzsKSXIXeHiWsZeq63Y5+BcpQpZ8cSZuSoKTh7FgE5OBGDfjk0YGigpY7V1lrtOmGWC5qWTvtIg6zdoPUQmZnv3T0vfY+tOkB1768ghIwE1sep116UTotztC6Q6WNhTiskN4BVAvz9++MljWFSIbqW6gOVOTumWyQH4el3UdWNZFAKP7NhkvYjlF7SkRMVEdR+orN3ZSlXpyrBxJ8jE2URATT+X+/NOhUum3aLc7QukOljYU4rqxsgTYVEIrQCOHjwZWOt8dq6KfTs2LT1+u9a3bMFTd5OGXcRqtX80zMJdFPfB+GRZG4YadTFYJc7FPkea7+AVUJvPpSt50W5R7vYFUh0s7ClFdWOYpEybWFauKJvcJEE3adIWscJa3lHcB6MHT2pzC2ysXdmkpBLnSnVBG0c/Plm2zo61FWXdJBpHdcskfbeSAgt7SolyYwQtTmbdcgpreUdxHwQJt00mqmxS0q23eJOkvE9c7r5sx2RzvYMm0aR+R9IOC3uKCXtjyCyuqIWZ0nSThrW8TS1Vm/Zvqn34uX/8OB5/4Q3pYnSlumAUYupHtwBvEqZpEpvf7TVbOgULexeSNgs7bsJa3ibnTWWh3r65hKePlptErlhw8Onrr2xoau7f5/3jx/HokVPasS0IYZSD4LWYdROZ16UXZdFYNZkFhbN2c8ndOGBh71LSZGHHTZSFu6DzFtT+LUyc+eMvvBE4rpLH1x4kmq7FrMuU9X7GKFa36knC27jcRVW3Pe4yEt0wabCwM13Jsp7cklit6nOw5+YNsdzctu3fTOLMgxK+3EnJ3b9JeYnTsxXsMwxFjbJorBq7/3X/mP3vist9k5bGJ1HhZtZMV+He2N7kqwvVxdj2r3LnqF43EU2ZdetCAG7f3DhhDA2UcPvmEtTvuhz1ZNJE2vYzeSkptvG/bpJwF0dGqe7pI0uwsDNdRdgbe3yyjK0jh3Dt7gPYOnII45Nl6XbD29eh4OQbXtO5eUxE0y1lLEMAOHziTNNYH3/hDW145dyl+aWkqOd3fwyvjtyE53d/TFnawOYzhXmviWgX+5zAbYLoljIE7IphuoowN7bN47vpAqu3vIOTo4aEMb/wDV6zGk8ffRMVxZOF10/ujjXIfTMzV8XOsSnc98xLWO7klVm97li9kTc2kVOmC/Um9YHeuTC/NKGG9ZF3SxkC7nnKdBVhepDG2bdU5v928oQVvT04V2kWVxN/uUndHlO8SW7t7BtqWna6WHBwcX6xaUy3by7h8Ikz1nH17vvT0gvVtOcpu2KY1GLqHvFuN3dpHk6u0fsc5FaI8/Fd5gqqLgisWNaDfTs2AQB2jU0tfR4T37Oo7zfsmLx43VLt9Ef7/f0qZitV6ZgeO3IK5dkKBC4/Ucm+D6brCmknFlcMEb0G4FcAFgDMm8woDBMFU/eIf7uZuSqcPKFYcKQWsowoj++mza39GaQmGaVeXEE3cWmY7stmQosjhNAbNWT75GETRdMNob5x+ti3CSF+HuP+GEaJaWy1zkKe2nOjcv+2fnDVPkybW+eJpJ+HCDDxll5VLGB8soy5S/NNf7NtnlLsc7B15JBy8dU9lvf8vHNhfun8mIYQ6iYDVa6BTRP3ME8vWYlx58VTJpUEWZPeZBeT9+uEym/lu2WEd41NYfTgSW0VTdPm1irhNRH1gpPHtvX9UgufYFZywMXJE965MK8UT9mxZNuqLGbTJCTVoiugbuLux3ZBNEsx7nH52AWA54joKBHdI9uAiO4hogkimjhz5oxsE4YxRhcm6N6gukd57/u92wvUhMpf1tjrB784v4iZueqSP3fX2BTWSvz8Qc2tvT5eVbx3EG4c++ETZ6RiZ9LVakVvfmksK3p7lCWd3bF+99hbRsIqmzy910XlPnGRhWK6PvIgwtRlz1KMe1zCvlUI8SEAvwPg3xLRR/wbCCG+IYQYFEIM9vf3x3RYplvRxUcHLTj6b3rTblSnZytKKxxoXrRTTT55IgxvX9cgWMPb12kXDVW4cexRFk17e3JLC7e6rlmnZyvYu3/auG2i//PHlYQ0NFDSToRBC6KqRfcsxbjHIuxCiNP1/98G8G0AH45jvwyjQhfdoLsRZTe96Y17VbEQuK3XwpNNPkDNet41NoX7xy+XzB0aKGkTinS4roqwzMxVMfzkscDFSgG98HsJm4Rk+jlUE/vdW9YAaIws8uJ/OvNOxlEybJNGZB87Ea0AkBNC/Kr+840AvhJ5ZAwTgCq6QVfcShZ3bhJJ4n0aCNrWFTB3bPc+cazJFSIAPHbkFAavWb20XSlkRIsAcP7iPJw8GTUslxHUUcsEJwfMLyJ0EpKN+0Tmg9+2vr+hgqbMR65zt2Sp1V4cFvt7AfxvIjoG4O8BHBBC/I8Y9sukBNN48nZhmwIv2z5HgFuiJU+0VI9FZYV78Vp4QwMlpX/bG3+uGocps5UqIGoFzQi1//3x+q2mugjctWWNVWkCL8sdOzny++Bl6wx+H3lQkbasxLhHttiFED8FcH0MY2FSiCqSYOL1s0aZgK3APY7XH6wTDb/1t7Lg4Pyl+SXrd0EIPH20vGRdT7x+Fo8dOSV1ncgaVOjwWrCycbvo+qW6VBcF+np7MPnAjUvHdj9TWHvcNJrG5fEX3sBDQ/LFzaDzPDNXDR2FYtriLygnISsx7hzuyERC9WjrFT5d2Fgr44Yvzl+urRIkGv7kGL+wesP3Dp84o4xFlzWo0OG3qb2ld00Sm/yUZyvYOnJoKWzT1WRbgXaxfU/Q9jbnWYf3/LgThArvE1SW3C06uKQAEwldSJ8XWdiYbiErKlFC14KiI1R/XxQiMDnKjwCkoZKum8GNVrHBG7Y5W6mFZYYRdS+mTh1diWE/YaNQ/N+b2UpVubbgF+0suVt0sMXORMLGmvTfsEHZo1GseZU4uBatbl9Bj+umJQZswuRkTzWmhbHagem00NtDuHb3gZaWajANTwWaa9UD2XG36GCLnYmEbEFMZbOZCt/p2Upka14nDkH7Clp8NV2ctQ2T8z9R2AiYDWEXaHXkqCYmleqi8fVSLaaenq00hILK/m7K00fLHV/M7wQs7IwxsugX2aPtXVvWRBK+q4qFyFmAQREYun0FPa6bPs6HiXLxilYrEmOiZrr6WdXn4LWRm3DlygL81eKDrpd7Hlf0Np4jAeDRI6fwwT/6vjTSymbCTGvmaFTYFcMYEVRHwy9qg9esDnSj6Baydo1NScdhKnbeCAzTejH+9+se14P+LmtQUfRFgcjwipbKVVFwcsqmGzr8vVGj1m4HarVsdBEp5dmK1DVjErEzV/+M/u+a7HujI42Zo1FhYWeMsO1Ub+LH1HXXUQmyjbUWJGCqfUWN1PFPggtCoODksfeWDQDUkw0B2Lb+crkNXYVDU2EvODlcqC5KP4etQMqYrVQDI3+8rpmJ18/iwEtvGVdodPF+11Qhp6qQ0DRmjkaFOygxRly7+4D0piEAr47cFPvx4ux0Y7OvoG1NRD+o45JuUdQ/Ltnxdo1NWcWlr+jNY+7SAgRqUSt33nD1Uqx5UBXMIGzDKE3i8U2OudzJ4fyl5vMnq5yZpagX0w5KbLEzRrS7V6TOmre1qE37bgLAg89Oa337JmVdg8L4dIui/qcg2ZOPrRB7BXBBCDx65BRePfMOXvtFJXKdGdswyjjMyAUhpKLu7r9Ur+mT5nrqUWFhZ4zoRGKHTNRsOif5hTyoP+n4ZFnpIigrKjvK3FFBk6BprRkVcbhQnn/l7NLPUf3sSSJHl4uibVvfj9GDJ7FrbKrrRJ6FnTHCxuptJSbiGrZhgi56gqAWQH9s/Lb1/Xj0yKmGbZwcYdv6fmx4ILiMkr9WvOqcf/nbx5WWa6uIw5XSStxaZuXZSsM1iLtpRtI7LbGPnUksNv5lr68/yMetQrWOYErByeP2zSWMvfiGNPIlnyMsBFRR9Pvz/Za5K6zFgmNcQjcKd29Z01DzJ+3WfdB3wIQ4139sMfWxcxw7k0hUCUorC450e6+VGzZVPep6QaW6gEePnFKGMwaJuruP0YMnG8Ilvbh7aIeoA7UmHmFLG0RhRW++JdUp4wh9TEOnJRZ2JpGobh6i5sxJv68/bMOEKGVz48SdxJJgHfuzgNtFsa8Xo5+7fikJzG3fB9SiYrZetzrUtYpjsT8NnZbYx84kEtVNMjtXxb4dm7T+zbALve4+bMMJW4FNA+pWkiPCTkWyWBBRxu/WRzdJApOVAJYR12J/uyPEwsDCziQS1c2TI1qKcti3Y5MyOQqQd7h3S9qqFryGBkrKrNd202lRjzqGxQjvdZuS6yZwv/CPT5bxh8+8tJSx6sVt+h2HDzwNpX958ZRJJCaVDW0WrGwWvOJItScCEqDLocnR5QiTsIRt9QcAfU4O1UXRYIGbXu/7x49LG6Ho3m8b5dKpqBhePGVSjb/QlqzOt82Clc2ClzetPyz77tiE10ZuwmsjN8VacMum3rmfPNFS27wgoop6ngjD29cZ13H3M1ddbHKrmF7vh4Y2St0iqveHqSTqb8uXpFBHgIWdSTDem0flEghbC173+uETZ8wHKSFHNT+9W5UwrkXZ2blqJPfGnTdcjVdHbsLkAzcaiXsU7rzhagwNlHDXljWhxV2G6QKlzfVOQ5SLLSzsTCpQWaqmFqxNpEzU6IZF0Vj4CgAevm1jJGsbqI01ygKdd8Lac/MG7WRTLDihBXnrdauXatE8NLQR+3Zsiu2pxfTzx3G9kxTlYgsLO5MKVBa76eKeaXMMIHx0g85dNDRQwtfuuB5OPpxcEmqfIYqbyC2hu3XkEIDaZKOy3N2WemF47ReNgug+eb02chMeiRAPb7NAGcf1TlKUiy0s7EwqUFl8ppagTa/LMK4TgnqScUsO7Byb0obj6fZ915Y1S420o+B/kph84EY8smMTiorErzC4se/+pixA7TqEeXKxjWoJut7e8Z2/ON804dpMIqrP2kk4KoZJBSZRLTaRCkHbjk+WsXf/dFOGp6pWSqlYwD+cuxB7iGLJN7aoZQ/8+3bT6+OIBHLpc3IQIOW1Wrv7QKj9rupzMPnAjZHHJ/suOTnCu5b3YHauahXl0u7yAhwVw2QKEwvMNLLBZNuhgRKm9tSs2aC2f26BsFbEnfsFphjjoqfrQ9Z1QNLhKNSjMr+oXYwMu9YwM1eNxRqWLZZWFwX6envw6shNGN6+DqMHTxpZ4EldeOUEJSY16DIRbTo82XaD8jJ4zeqltn/l2UrLqx3e+8SxpZ9lTxBRcJOAgjogydh63Wr8H0/pXy+q+c2dSKJMgK5gRokhN2mi7q0MumtsCjvHppqenoL21UnYYmcygc0NptrWb7XKLPtdY1OYeP0shrevQ54oUNSjhvotCIGddWGJU9TdxVhd0w//9kDtqeWRHZvw2L/+LeXiosoid7ePEiHjXgObmHPVOGSv6wqvyY6V1IVXFnYmFjq9gGRzg6m2JaBh3Kqb/NEjpzD81DGt5ekmAi1X+Ss6jFesgsgRltrquQ1HVPH5BGDL+1dJF5/PX5xfel+UCc9/1ivVBTz47LTx+3URM0GWtt/NYhN9006S+a1jUkWYzL24sbnBVMIi0NhsQ3eT66JbigUHxT4HM3NV46bT7YYADD91LHA74HIWqjuReRtT+59ZBIAfnjqH2zeXmkIpZytV7BybwoPPTuO3r1sdKO424j8zV8X948eNjAvdeo2Jpe39XthEW7UTjophIhO2sUXc2ETFqCIzTBp26HByBJBe+LsB192iOn9uU5LDJ85I1yr8fzchjkbWJjWK2v299sLNrJm2kZQFpKAyr15UBaq8FpuuY5OMPNVC5lR9U3W4IgQgUFhs6URBMhOXhtvEA9BPyqYTrMxFc+8Tx6x6nnorg6omnE67WUxgYWcik+T61CrBMCm9OjRQwsTrZ5v6l8pw8oQVveFEHUCTZfn7T0xFLsTl0okqkyaNu8s+l4ZKdKM07/a7j9xj6fCOJem9TVWwj52JTFIXkHS+f1Pf6ENDGxHUoW1Fbx4Q4dvVlYqFpjrjcYk6IXxkTpRs1OHt64wyeE3WYfzXalWf09Q2z+QzhokvT3oVRxVssTORUTW2aOVNYGJJBcWrm7pugkR27tJCoLum4ORwcX6xaV9Onlo6AYau91JfZ/jgH31f2rhChyuy7rnVxd///hNTDduqkDXV8F7/bev7pTXY/XQ6vrxdsLAzsWDj346KLIlE9pitcgPo3AOyCSOoYYROTNykFtdn62dFb4/0vBULTtsaVvtxFz7HJ8u4ECKqRwANST17b9mgbK+3KGDsIvEi+76ZuMyS4B5sB+yKYRKBTRy8aRq3balfletm2/r+UPXU80Q4XY/7Vk0M5xTivfeWDU3uBlsKTt667rrXhbZ3/zTCBmv6k3p0VKoL2Lt/OnIeRFDiUxj3YKfzM8LCws50HNs4eNMoHNtSv6oJ4/CJM0s+XhsWhFj6PCpyRFLRGBooYfRz1zesAdy9ZY3W772qz2laM5DVXS84eTyyY9NSGV3ve27fXMLowZNYu/tAbE8MJoues5VqU4bv/eN2pQ6CRDts6GMn8zPCwq4YpuM8+Oy0Ve0W0ygclQtFJdC6CcN99L9//LjRI78p3qiN4SeP4cFnpxsqDHrDAXWRIQUnjz03b9DW0pGtR/gjQOIOtQyLAPDYkVMYvGa1VaneB5+dlkYm+ReoVXhdcTmiJiPAtKZQp4lF2InokwD+E4A8gL8UQozEsV8m+4xPlpUhgiqhNe0Sb9tN3s0Wlb3uErUeuo7qolg6vje7MyhJx61VDjTHfOeJcOcNVzfFi7ux3Wt/vYAjP52xLsy1qs+BEDVX0sqCg/OX5mNPynIzgW1EdM/NG6yuuRf/xKY6J2lYgI0s7ESUB/CnAP4pgDcBvEhE+4UQ/zfqvpnsows/Uy10qaJwgJqweV97+LaNxtE6Km3zvt7Om7pSXTB6OhAA/vrIKYy9+EaTuC4IsbSPwWtWNy06W2fW5gmjn72+6Ry6E0aYiperFBMqYH++o0RomRZES8MCbBwW+4cBvCyE+CkAENHfALgVAAs7E4juxtVZWbLwN1mkzMO3bTRO/1YtZHpfV7mBOs0igEWNxfzXL5zC4RNnIrlZcgSpqAPNLh2VS8RPngh7bt6gzPA1FdE4EolMJpEk5GeYEMfiaQnAG57f36y/xjCBqG7cYsGxujHjaHhgUiHStG1ePkeRS/bGyaKIp0n3g89OBy4eDg2U0NdrZjMuCIGhgRLu2rJGer7mLs0HHi+uRU5dGeIkFfgyIQ5hVxXKa9yI6B4imiCiiTNnWuenZNKFKmt17y0brPYTR70akwyaZ6g1AAAS5klEQVRaWcbqit5moV9YFMbuCEItganVxOFCmJmrYvjJY4GiaXre3YXsh4Y2Yp+k9+rMXDVQpOPqYjS8fV1TiKmTI3ztjutTl3kax7fpTQBXe35/H4DT/o2EEN8QQgwKIQb7+8N3WmeyRVxlT8M2PPDGKY8ePInbN5cCx+JPM5+7FN69USoWsG/HJlyab31BF9f/HcTdCuvZpboosHe/vv65ySQimzRXLGu29INEOtYidP4PnqTHLgvi8LG/COADRHQtgDKAzwP4ZzHsl8kIQf7POLJWbSNg3HH5/fJPHy1bTywqv/uqPgcXqs39P13cXqk2FSSj4j1OyRcV40bQPDS0MTASZ7ZSxdaRQ0pftux6uIXSzlXUDaPDiHRcRehGD55sWnyuLohUhDf6iSzsQoh5IvoSgIOohTt+Uwhh3s6EyTSm6f9RCRMNYdv71LZS5J6bNzSMaWXBAVHNveCNHOlE5Xa3NV6Uiopu7D3QfC1Nrof7tOT9exiRDjOpy0hK+ek44EYbTEtJShMOGdfuPiAVVW+zDRdZ8o4rzqV6EarDJ84YTSphGni0gqBrMD5ZVtZ48VIsOJjac6PVsWXn022u8fTRctPrQU9RcUTFDHzlOWkkz6o+B5MP2H2+VsGNNphE0EkrKOhmt7EOg5oc27hwbD87AejtqVWHtMF1fahKAwSNY2igpK3M6BKm9EBQ+QZbkfY/Ibg+eRtxv6B4OlG9nmS4VgzTUjrVxd0kBM6mjrxtk2Mdtp9dAFg0LNC+oje/tPA7+tnrsfeWDcr1P5NxmBYjsw0tDCrfYFsDPY6QR1V/2qT2rdXBFjvTUuLyf9pi4j+38cubJCYFiX+U7MzqokDByeFCdVH6Pu/Cp5+J18821So3vQb+VnEqbBcYVedTALjuvu9hQYilksdhs0bTUtelFbCwMy2lE004AHMXkGlEjslios4C9vuUBZqbLwdxobqIfTs2SSeHBSHw9NFyQ9Esryuq6KntYnsN3HOk87mfnq1Y+bl15zNMO7s4XH6q0ga2pY+TAAs703La2YTDJe4+rGGaHAdVChSoWdqmBbiuqlcoHBooSRdg3brmsjHOzFXh5AkrC05oH7SuemKxz7GKfjJ9EjC1uuO43ntu3oDhp441hDw6eVqKbkoTHBXDZBJV1EVcKeFB1un948eNWrUBzZa7kyOA0CAw/rGrInpscHKEdy3vaSgTHHRuVOd1WU9OuYga5FIJ+iyyKCXTcYWpwZ7k5tUcFcN0NZ1yAQE1cTAVdaDRLeOKIKAfexzFyGRlggG9Fa86r7s0YZFB+w76LCZWd1zXuxNPl62ALXaGMcDvr37nwjyqi3KLOmycuk1sf6uaYoTNLzD5zKp96z5LnE9ZWYAtdoYJif9xfNv6/oakGZmP2esLDhujb/M+mYU6d2neqFRuXGPwYpqpKitD4Pe3u+sONlExTCMs7AzjQVYCwdSt4opiWDeJ7cJuUE36MMS1uKxC5ZbJigtERbt99yzsTCpp1Y2iyzANwhVFE+vVjy6u3PSzmoprmDGYjMcbFqn7/N0WX96uekleWNiZ1BHXjSITqLCuCK8omghsseBgxbKeBnePtxepK5a2n1UXDqljVZ+jbYbtohuP+5ndgmc5As4rShqnsbBWWDqRPMXCzqSOOG4UfziiK1CqhtZNIYkBJWhdgVWF8p2rVJcKZ+nEUvVZ9+6f1n7Wbev7jfqluvT19kTK8Ny7fxoX5y+XKJ6tVLWlzE1cPkkPPTSlE/WSWNiZ1BH1RlGFI1aqC1jWk0PByUurDppWb/Rikjijm6hUn2m2UsX4ZFk5hsMn7LqUmZ473Xj86FxYQS6fTrgvWkXcyXImsLAzqSPqjTJ68KRSdM5Vqktp+3FYiia1cnQTlW4hVveEYmsNmp67OOLnV/U19rOVWeZZqv3SiXpJXN2RSR02VRllBCXDuNUF9+3YBADYNTaFrSOHrCsYAmat/3QVMHWfKairkAwiNFVrNDl3blMMWXu9gpOX9n2V4W1A4u5XVpVRdY3S6JuPq/2jDSzsTOqIcqOMT5aVvl+3q5C7XdQysN7x6iYK3UQ1NFBSFqEK6irk3ycAiHqaa7HgGJ8777kALmfKwvN+Jy+XkoKT014nlWWeJ/lVanW551YRphRxFNgVw6SSsHHPOjfMXVvWNES0xOEKUJXqlfmMVe6fPTdvkD7Kb1vf39Razl+S+N4njjUVGasuCKxY1mPc9UgVAurNJFWVFLhQXdRmsqos8AUhpGsdrS73nBVY2JmuQvco761lHkckg6xUrxfvRKGbqGTC78+GlU0UQwMlpeDafA6TcxF23UP1vpLH1572qJhOwMLOdBU6ITHZbmXBUVrJfmSWrh9TgfUL/9aRQ0ZPFHFEZJjsI+wCoe59Wc9GbSXsY2e6CtOFV9l2To5w/tK8sd/dRLTD+oxNrOj7x49Lt7N1aZics7DrHp1YWOwG2GJnugrT8q6mRbZ0fveg0MAoPuMgK/r+8ePSBKUVvXn8h8/YCafNOQsjyGyZxw+X7WUYQ1RZpKpGELKaKf6662EFLaixhNs31E+eCK88/KlQx2Q6D5ftZZiYsfVXt7LZR9C+Ve32TNvwMemGhZ1hAlCFLLqcvzivTO9vpZtBt29VL1VVfDiTLXjxlGE0yJJz/MxWqqGTl1rFnTdcbfU6ky1Y2BlGg0nIInB5ETUpPDS0EXdvWbNkoeeJcPeWNQ2x+kx2YVcMw2iII5GnUzw0tJGFvEthi51hNNgm8jBMEmBhZxgN0kSlPIWqkMgw7YJdMQyjQRVWKHuNk2yYpMAJSgzDMCnBNEGJXTEMwzAZg4WdYRgmY7CPnWE6gKzPJ/vombhgYWeYNuMv4CVrksEwUWBXDMO0GV3bPYaJAxZ2hmkzcbTdYxgdkYSdiPYSUZmIpur/MlPoeXyyjK0jh3Dt7gMNHeUZJiqqDFXOXGXiIg6LfZ8QYlP93/di2F/H8Vb0M2mBxjA2mLbnY5iw8OKpBJ0PlBe3uodWRa60sgFHp+Aon2QRKfOUiPYC+JcAfglgAsC9QogZxbb3ALgHANasWbP59ddfD33cVhOmBRp/qbOFrPWckyO8a3kPZueqfJ09BLXp827H90k0Yss8JaK/JaIfSf7dCuDPAFwHYBOAtwB8TbUfIcQ3hBCDQojB/v5+i4/SPly/umqqk/lA2W2TTWRPbdVFgZm5atdeZ9W6k0mUD98n7SXQFSOE+ITJjojoLwB8N/KIOsT4ZBnDTx1DdUEu606ecP7iPK7dfaDB2mC3TTYxiVDppuusi703ifLh+6S9RPKxE9GVQoi36r9+BsCPog+pMzz47LRS1Ff1OXjnwjxmK1UA9l9qJn2oGlf76ZbrrBNmkybffJ+0l6hRMV8louNE9BKAbQB2xTCm2DEJXZyZqyrf39fbg+pio+h7v9QyOHQt3cgiV2R0y3XWCbNJlA/fJ+0lkrALIf65EGKjEOI3hRC3eKz3xCDz7e0cm8LAV54z9u+pLLey4ZeaSR9DAyU8fNtGlIoFEIBiwYGT797mGjph9p+rUrHQtHDK90l7yXQ99vHJMu594hgWFJ+RUOs6XyoWcPb8RVSqi83bEKA6RUTAqw/fxKv9XUI3X2fTyJegfXTr+YsL06iYzAi7/0uzbX0/nj5aNuowH4VHdmziLyvTFbAwd56uEvb7x4/jsSOnGsIUXWu83dhaMQzDMKaYCnvqM0/HJ8tNog50RtQBeQgXWzoMw7ST1Av76MGTHRNxFd7FVq69zTBMu0m9sJvEGneCtbsPoFQsYO7SPCdmMAzTVlIv7HkiZdRLp9FNOpyYwTBMq0h9o42kinoQnJjBMEyrSI3FLgtnPHziTKeHFQpOzGAYppWkQthlC5CPHjnV4VGZQ6hZ6BwVwzBMO0iFsMsKEKUJAeD53R/r9DAYhukSUuFjT/tCY4n96QzDtJFUCHuaFxoJYH86wzBtJRXCblpCNYkIcCISwzDtJRXC7pYFTSuqGvAMwzCtIBXCDtTEPa2+au7vyDBMO0mNsAPpdsn4m/syDMO0ilSEO7q4vmp/pUQA2Dk21cmhGZH26B6GYdJBqoQdqIm7bDHyyYlTeP6Vsx0YkTlpju5hGCY9pE7Y/XhLDRScnLS9XRLgMgIMw7SLVAu7v9RApbrYsc5Jfpwc8J5f4zICDMO0n1QLu6zUQDtFvVQvRjb24huoLlw+spMnjH72ehZyhmE6QqqFvVOLkQTg1ZGbln4fvGY1t75jGCYxpFrYryoWpM0sWu2O8S+CqhZ0GYZhOkGq4tj9yOLaC04ed21ZgzyR8n3qvwTDi6AMwySdVFvsqrj2oYESBq9Z3bCwCtRE2S1N4H3P3KV5zMxVpccoFhwQAbNzVXazMAyTCkh0oLXc4OCgmJiYaPlx/F2XVKJ87e4DUteN35fOMAzTSYjoqBBiMGi7VFvsQZj6vlW+ek4oYhgmjaTaxx4XKl89+9IZhkkjmbbYTdH56hmGYdIGC3sdDllkGCYrsCuGYRgmY7CwMwzDZAwWdoZhmIzBws4wDJMxWNgZhmEyRkcyT4noDIDX23zYKwD8vM3HNCWpY0vquAAeW1iSOrakjgtI1tiuEUL0B23UEWHvBEQ0YZKK2wmSOrakjgvgsYUlqWNL6riAZI9NBbtiGIZhMgYLO8MwTMboJmH/RqcHoCGpY0vquAAeW1iSOrakjgtI9tikdI2PnWEYplvoJoudYRimK8issBPRGBFN1f+9RkRTiu1eI6Lj9e1a3/2jdsy9RFT2jO9Tiu0+SUQniehlItrdhnGNEtEJInqJiL5NREXFdm07Z0HngIiW1a/1y0T0AhGtbeV4PMe9mogOE9GPiWiaiP6dZJuPEtE5z3V+oE1j014fqvGf6+fsJSL6UJvGtc5zLqaI6JdEtNO3TdvOGRF9k4jeJqIfeV5bTUQ/IKKf1P9fpXjvF+rb/ISIvtCqMYZGCJH5fwC+BuABxd9eA3BFm8ezF8C/D9gmD+AVAO8H0AvgGIAPtnhcNwLoqf/8JwD+pJPnzOQcAPg3AP68/vPnAYy16RpeCeBD9Z/fDeD/Scb2UQDfbed3y+T6APgUgO+j1iRsC4AXOjDGPIB/QC0uuyPnDMBHAHwIwI88r30VwO76z7tl9wCA1QB+Wv9/Vf3nVe0+h7p/mbXYXYiIANwB4PFOj8WSDwN4WQjxUyHEJQB/A+DWVh5QCPGcEGK+/usRAO9r5fEMMDkHtwL4Vv3npwB8vH7NW4oQ4i0hxA/rP/8KwI8BpKXu860A/krUOAKgSERXtnkMHwfwihCi3YmKSwgh/g7AWd/L3u/TtwAMSd66HcAPhBBnhRAzAH4A4JMtG2gIMi/sAP4JgJ8JIX6i+LsA8BwRHSWie9o4ri/VH4O/qXjcKwF4w/P7m2ivcHwRNatORrvOmck5WNqmPimdA/DrLRxTE3X3zwCAFyR//i0iOkZE3yeiDW0aUtD16fR3C6g9XamMrU6cM5f3CiHeAmqTN4D3SLZJwvnTkupGG0T0twB+Q/KnLwshvlP/+U7orfWtQojTRPQeAD8gohP1mbxlYwPwZwD+GLUb8I9RcxV90b8LyXsjhzCZnDMi+jKAeQCPKXbTknMmG67kNf85aMl5MoWI3gXgaQA7hRC/9P35h6i5Gt6pr6OMA/hAG4YVdH06fc56AdwC4D7Jnzt1zmzo6PkzIdXCLoT4hO7vRNQD4DYAmzX7OF3//20i+jZqj/+RRSpobJ4x/gWA70r+9CaAqz2/vw/A6VaPq74Q9GkAHxd1h6JkHy05ZxJMzoG7zZv1670SzY/XLYGIHNRE/TEhxDP+v3uFXgjxPSL6L0R0hRCipXVHDK5PS75bFvwOgB8KIX7m/0OnzpmHnxHRlUKIt+ruqbcl27yJ2lqAy/sA/K82jM2YrLtiPgHghBDiTdkfiWgFEb3b/Rm1xcMfybaNE58/8zOKY74I4ANEdG3dwvk8gP0tHtcnAfwBgFuEEHOKbdp5zkzOwX4AblTCZwEcUk1IcVL34/9XAD8WQnxdsc1vuP5+IvowavfbL1o8LpPrsx/Av6hHx2wBcM51P7QJ5VN0J86ZD+/36QsAviPZ5iCAG4loVd2NemP9teTQ6dXbVv4D8N8A/J7vtasAfK/+8/tRi7Q4BmAaNXdEO8b13wEcB/ASal+kK/1jq//+KdSiLV5px9gAvIya73Cq/u/P/eNq9zmTnQMAX0Ft8gGA5QCerI/97wG8v03X8B+j9vj9kud8fQrA77nfOQBfqp+jY6gtRv92G8YlvT6+cRGAP62f0+MABttxzurH7kNNqFd6XuvIOUNtcnkLQBU1K/x3UVuf+Z8AflL/f3V920EAf+l57xfr37mXAfyrdp0/03+cecowDJMxsu6KYRiG6TpY2BmGYTIGCzvDMEzGYGFnGIbJGCzsDMMwGYOFnWEYJmOwsDMMw2QMFnaGYZiM8f8BW+JP3sJdZucAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.scatter(std_blobs[:,0],std_blobs[:,1])"
   ]
  },
TheophilePACE's avatar
TheophilePACE committed
118 119 120 121 122 123 124 125 126 127 128 129 130
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Analyse exploratoire\n",
    "Effectuer une pré analyse du jeu de données, afin de vous donner une intuition du jeu de données. Pour rappel, voici quelques étapes possibles:\n",
    "- Lecture des infos données avec le dataset afin de connaître le contexte\n",
    "- Prise en compte de la question associée au dataset\n",
    "- Regarder la forme (shape) du dataset\n",
    "- Faire quelques visualisations\n",
    "- Chercher des valeurs aberrantes pour se donner une idée de la qualité du dataset\n",
    "- Regarder la nature des variables (catégorielle, numérique, binaire), leur unité\n",
    "==> se donner une intuition du dataset\n",
TheophilePACE's avatar
TheophilePACE committed
131 132 133 134 135
    "\n",
    "Plus technique\n",
    "- Effectuer PCA + visualization\n",
    "\n",
    "En cas de classification / regression\n",
TheophilePACE's avatar
TheophilePACE committed
136
    "- Le jeu de données est équilibré? (entre les classes, aura une influence sur les seuils)"
TheophilePACE's avatar
TheophilePACE committed
137 138 139 140
   ]
  },
  {
   "cell_type": "code",
TheophilePACE's avatar
TheophilePACE committed
141
   "execution_count": 7,
TheophilePACE's avatar
TheophilePACE committed
142
   "metadata": {},
TheophilePACE's avatar
TheophilePACE committed
143 144 145 146 147 148 149 150 151 152 153 154
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "(1500, 2)\n",
      "(1500, 2)\n",
      "(1500, 2)\n",
      "(1500, 2)\n"
     ]
    }
   ],
TheophilePACE's avatar
TheophilePACE committed
155
   "source": [
TheophilePACE's avatar
TheophilePACE committed
156 157
    "for X in [blobs, std_blobs, noisy_circles, noisy_moons]:\n",
    "    print(X.shape)"
TheophilePACE's avatar
TheophilePACE committed
158 159 160 161
   ]
  },
  {
   "cell_type": "code",
TheophilePACE's avatar
TheophilePACE committed
162
   "execution_count": 29,
TheophilePACE's avatar
TheophilePACE committed
163
   "metadata": {},
TheophilePACE's avatar
TheophilePACE committed
164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/Users/theophilepace/miniconda3/lib/python3.6/site-packages/scipy/stats/stats.py:1713: FutureWarning: Using a non-tuple sequence for multidimensional indexing is deprecated; use `arr[tuple(seq)]` instead of `arr[seq]`. In the future this will be interpreted as an array index, `arr[np.array(seq)]`, which will result either in an error or a different result.\n",
      "  return np.add.reduce(sorted[indexer] * weights, axis=axis) / sumval\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "<matplotlib.axes._subplots.AxesSubplot at 0x1a17f6bef0>"
      ]
     },
     "execution_count": 29,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import seaborn as sns\n",
    "sns.distplot(blobs[:,0])"
   ]
TheophilePACE's avatar
TheophilePACE committed
198 199 200 201 202
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
Sylvain Marchienne's avatar
Sylvain Marchienne committed
203
    "Tracer les données générées dans le plan ($R^2$).\n",
TheophilePACE's avatar
TheophilePACE committed
204
    "Commenter la difficulté du clustering. Utiliser la fonction `plt.scatter(X[:, 0], X[:, 1], s=10)`"
TheophilePACE's avatar
TheophilePACE committed
205 206
   ]
  },
TheophilePACE's avatar
TheophilePACE committed
207 208
  {
   "cell_type": "code",
TheophilePACE's avatar
TheophilePACE committed
209
   "execution_count": 32,
TheophilePACE's avatar
TheophilePACE committed
210
   "metadata": {},
TheophilePACE's avatar
TheophilePACE committed
211 212 213 214 215 216 217 218 219 220 221 222 223 224 225 226 227 228 229 230 231 232 233 234 235 236 237 238 239 240 241 242 243 244 245 246 247 248 249 250 251 252 253 254 255 256 257 258 259
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "for X in [blobs, std_blobs, noisy_circles, noisy_moons]:\n",
    "    fig, ax = plt.subplots()\n",
    "    plt.scatter(X[:, 0], X[:, 1], s=10)\n",
    "\n",
    "plt.show()"
   ]
TheophilePACE's avatar
TheophilePACE committed
260
  },
TheophilePACE's avatar
TheophilePACE committed
261
  {
TheophilePACE's avatar
TheophilePACE committed
262
   "cell_type": "markdown",
TheophilePACE's avatar
TheophilePACE committed
263
   "metadata": {},
TheophilePACE's avatar
TheophilePACE committed
264 265 266 267 268 269 270 271 272 273
   "source": [
    "On peut voir que le clustering semble très facile dans les premiers: il n'y ni outlier (points aberrants) ni zône où les classes s'entremêlent. "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Ensuite, la forme des données est beaucoup moins propice au k-nns."
   ]
TheophilePACE's avatar
TheophilePACE committed
274 275 276 277 278
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
TheophilePACE's avatar
TheophilePACE committed
279
    "__Pour commencer, on fera toutes les analyses sur le dataset blobs. Ensuite, on essaiera sur les autres datasets__"
TheophilePACE's avatar
TheophilePACE committed
280 281
   ]
  },
TheophilePACE's avatar
TheophilePACE committed
282 283 284 285 286 287 288 289 290 291 292 293 294 295 296 297 298 299 300 301 302 303 304 305 306 307 308
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "def plot_clustering(X,y:np.array=None):\n",
    "    if y is None:\n",
    "        plt.scatter(X[:,0],X[:,1])\n",
    "    else:\n",
    "        # comprehension_list_colors = [color_map[y_clust] for y_clust in y]\n",
    "        plt.scatter(X[:,0],X[:,1],c=y)\n",
    "    plt.show()\n",
    "plot_clustering(blobs)"
   ]
  },
TheophilePACE's avatar
TheophilePACE committed
309 310 311 312
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
TheophilePACE's avatar
TheophilePACE committed
313 314 315 316
    "# K-means\n",
    "Utilisez les k-means sur chacun des datasets. C'est ici https://scikit-learn.org/stable/modules/generated/sklearn.cluster.KMeans.html __Conseil:__ : Une cellule par dataset pour plus de clarté.\n",
    "Pour rappel, cela consiste à chercher à minimiser un critère (en l'occurence la viriance intra-classe, c'est à dire la distance de chaque point au milieu de sa classe) de manière itérative. Par exemple, sur ce schéma volé à wikipédia:\n",
    "\n",
TheophilePACE's avatar
TheophilePACE committed
317
    "\n",
TheophilePACE's avatar
TheophilePACE committed
318
    "![](https://upload.wikimedia.org/wikipedia/commons/e/ea/K-means_convergence.gif)\n",
TheophilePACE's avatar
TheophilePACE committed
319
    "\n",
TheophilePACE's avatar
TheophilePACE committed
320 321
    "\n",
    "Utiliser la méthode des k-means de la documentation scikit-learn sur le dataset blobs."
TheophilePACE's avatar
TheophilePACE committed
322 323 324 325
   ]
  },
  {
   "cell_type": "code",
TheophilePACE's avatar
TheophilePACE committed
326
   "execution_count": 9,
TheophilePACE's avatar
TheophilePACE committed
327 328
   "metadata": {},
   "outputs": [],
TheophilePACE's avatar
TheophilePACE committed
329 330 331
   "source": [
    "from sklearn.cluster import KMeans"
   ]
TheophilePACE's avatar
TheophilePACE committed
332 333 334 335 336
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
TheophilePACE's avatar
TheophilePACE committed
337
    "Comment avez-vous choisi K ? Faites quelques tests, commentez les résultats. Gardez le meilleur hyperparmètre K. "
TheophilePACE's avatar
TheophilePACE committed
338 339 340 341
   ]
  },
  {
   "cell_type": "code",
TheophilePACE's avatar
TheophilePACE committed
342 343 344 345 346 347 348 349 350 351 352 353 354 355 356 357 358 359 360 361 362 363 364 365 366 367 368 369 370 371 372 373 374 375
   "execution_count": 19,
   "metadata": {
    "collapsed": true
   },
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "28109.86181430989\n"
     ]
    }
   ],
   "source": [
    "n_samples = len(blobs)\n",
    "kmeans = KMeans(n_clusters=2)\n",
    "pred = kmeans.fit_predict(blobs)\n",
    "plot_clustering(blobs,pred)\n",
    "print(kmeans.inertia_)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 51,
TheophilePACE's avatar
TheophilePACE committed
376 377
   "metadata": {},
   "outputs": [],
TheophilePACE's avatar
TheophilePACE committed
378 379 380 381 382 383 384 385 386 387 388 389 390 391 392
   "source": [
    "loss_function_naive = lambda inertia,k: inertia\n",
    "\n",
    "def cluster_and_plot(dataset, K_max, loss_function):\n",
    "    plot_clustering(dataset)\n",
    "    inertias = {}\n",
    "    for k in range(1,K_max):\n",
    "        kmeans = KMeans(n_clusters=k)\n",
    "        pred = kmeans.fit_predict(dataset)\n",
    "        plot_clustering(dataset,pred)\n",
    "        inertias[k] = loss_function(kmeans.inertia_,k)\n",
    "        print(f\"Intertia for k={k} computed with Within Class Variance:{inertias[k]}\")\n",
    "    plt.plot(inertias.keys(), inertias.values())\n",
    "    return inertias"
   ]
TheophilePACE's avatar
TheophilePACE committed
393 394 395 396 397
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
TheophilePACE's avatar
TheophilePACE committed
398
    "On essaye en ne prenant en compte que l'inertie, c'est à dire la distance au centre de la classe:"
TheophilePACE's avatar
TheophilePACE committed
399 400 401 402
   ]
  },
  {
   "cell_type": "code",
TheophilePACE's avatar
TheophilePACE committed
403
   "execution_count": 56,
TheophilePACE's avatar
TheophilePACE committed
404
   "metadata": {},
TheophilePACE's avatar
TheophilePACE committed
405 406 407 408 409 410 411 412 413 414 415 416 417 418 419 420 421 422 423 424 425 426 427 428 429 430 431 432 433 434 435 436 437 438 439 440 441 442 443 444 445 446 447 448 449 450 451 452 453 454 455 456 457 458 459 460 461 462 463 464 465 466 467 468 469 470 471 472 473 474 475 476 477 478 479 480 481 482 483 484 485 486 487 488 489 490 491 492 493 494 495 496 497 498 499 500 501 502 503 504 505 506 507 508 509 510 511 512 513 514 515 516 517 518 519 520 521 522 523 524 525 526 527 528 529 530 531 532 533 534 535 536 537 538 539 540 541 542 543 544 545 546 547 548 549 550 551 552 553 554 555 556 557 558 559 560 561 562 563 564 565 566 567 568 569 570 571 572 573 574 575 576 577 578 579 580 581 582 583 584 585 586 587 588 589 590 591 592 593 594 595 596 597 598 599 600 601 602 603 604 605 606 607 608 609 610 611 612 613 614 615 616 617 618 619 620 621 622 623 624 625 626 627 628 629 630 631 632 633 634 635 636 637 638 639 640 641 642 643 644 645 646 647 648 649 650 651 652 653 654 655 656 657 658 659 660 661 662 663 664 665 666 667 668 669 670 671 672 673 674 675 676 677 678 679 680 681 682 683 684 685 686 687 688 689 690 691 692 693 694 695 696 697 698 699 700 701 702 703 704 705 706 707 708 709 710 711 712 713 714 715 716 717 718 719 720 721 722 723 724 725 726 727 728 729 730 731 732 733 734 735 736 737 738 739 740 741 742 743 744 745 746 747 748 749 750 751 752 753 754 755 756 757 758 759 760 761 762 763 764 765 766 767 768 769 770 771 772 773 774 775 776 777 778 779 780 781 782 783 784 785 786 787 788 789 790 791 792 793 794 795 796 797 798
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAXwAAAD8CAYAAAB0IB+mAAAABHNCSVQICAgIfAhkiAAAAAlwSFlzAAALEgAACxIB0t1+/AAAADl0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uIDIuMi4yLCBodHRwOi8vbWF0cGxvdGxpYi5vcmcvhp/UCwAAIABJREFUeJzt3Xd4FFUXwOHf3Z5CCBBK6L0L0lFAEQQBQexgRbArls+G2BsWVERFRRRRQVQUFATp0pQiPfQeeq9p2+/3x4ZI2E2ygWzanvd5eExm7sycnaxnZ29VWmuEEEIUf4aCDkAIIUT+kIQvhBBhQhK+EEKECUn4QggRJiThCyFEmJCEL4QQYUISvhBChAlJ+EIIESYk4QshRJgwFXQA54qLi9PVq1cv6DCEEKJIWbly5TGtddmcyhWqhF+9enVWrFhR0GEIIUSRopTaHUw5qdIRQogwIQlfCCHChCR8IYQIE5LwhRAiTEjCF2HHkebgUOIRnA5XQYciRL4qVL10hAglj8fD6ME/MOWzmSiDQinF7S/eSJ/nrkcpVdDhCRFykvBF2Bj3xq9M+XwWjjTnf9venEhMmRL0uO/qAoxMiPwhVToiLHi9XiYOn4oj1ZFpuyPVwfi3JxVQVELkL0n4Iiw47S4cqc6A+04dPp3P0QhRMCThi7BgjbAQV6l0wH01m1bL52iEKBiS8EVYUErxyPD+WCMtmbZbI608+EG/AopKiPwlCV+EjXbXt+atPwbTuEMDSleIpeU1l/LhvNdodHm9gg5NiHwhvXREWLn0qsZcelXjgg5DiAIhT/hCCBEmJOGLIuvEoZP8O301OxOCmhlWiLAnVTqiUHDanfw9aRk71iZSpX5lrrz1MiKibAHLaq35/MkxTBs1B4vNjNvloVqDSrw9/UVKxsXkc+RCFB1Ka13QMWRo2bKllgVQws/Jw6cY2HYwSceTSUu2Y4uyYouy8enSt6lQvZxf+Zlj5jHi8dHYU/4bRGU0G2nasRHvzXwZj8eDPdlOZEykTJkgwoJSaqXWumVO5eQJXxS4kU9/x/H9J/G4PQDYUxw405wMf/BL3p35sl/5icOnZkr2AB6Xh4QFG/jyme+ZNmo2LoeLEqWjad2jOStmruHEwVOUr16W+9+7kytuvixfXpcQhY0kfFHgFk9enpHsz/J6Nav/Wo/H7cFoMmbal3I6NeB5tFcz5YuZONPnyjl5+DQzx8zL2H9o1xGG9huByWLisl4t2bRsG7s37KVy3Yo0bl9fvg2IYk8SvihwBkPgvgNKKQiQg9v2bMG0r+bgcWX+kPB4vHjcgadPOMuR5mTUs2P57IkxHN17DACj0UjlehUZtuB1SpSKvrAXIUQRIL10RIHr2LcdZov/s4fFZmbql7PxeDIn9jteuomYMiWw2MwAGIwGLBFmTOd9E8jK/m0HObL7KNqr0V6N2+Umcf0e3ur70cW/GCEKMUn4osDd/96dVK5fEVuUNdP2tGQ7Xz03jg8GfA74ZrwEKF2hFF+vH8YdL99Ms06N6TagE58ueYeIEhEXFceq2Qns3ryXtQs2sGfz/os6lxCFkfTSEflq45ItzP95MQajgatua0+9lrUAXzIf8fg3TP9qDu7zqmoAlEGhvZoSpaO5f+iddB/Q2a/Mrx/9wejB43E73RcVo8FowGQ2Uq1RFd7643lKVygVsFzyqRS2rtxJqfIlqdG46kVdU4iLEWwvHUn44oJorVm3aBN7Nu2nWsPKQTV6fvHUt0wdOQunPX1pQQWxZWPwuL2UKl8SW6SVrSt35nhto9nIQx/2o1mnxlSoUQ5rhJWPHxnF1C9nQx6+nQ1GA/Va1eKTxW/77fthyETGD5mI2WrG4/JQuV5FhkwbnOnD4eDOw4x6diyr5q4jsoSN3gO7c8szvTAag6t6EiJYkvBFyKScTuGZTq+zf9tBvB4vymigct14Ppj7KlElowIes331Lp5o9+J/yT4Ao8mAN71ePRgRJSLQXi/NuzRh8e/LL+i15MQaYeGr9cOIr1E+Y9uSP1bw9u3DM48DMBmo06IWny7xfTicOHSSexv9j5TTqRmvxxppocPNlzHo24EhiVWEr2ATvtThi1z7/Mlv2b1hL2nJdhxpTuzJdnav38tnT4xh9tgFPNjsGXpF30k3S18ebvEca+dvYMkfK7JN9gAetzfoZA+QlpSGPcURsmQPvm8TZ44nZ9o2KdA4ALeXnWsTObjrMACTR8zAkerI9HocqU4WTljMkfTeQULkN+mWKXJt/s//4DqvntzldDNn3EL++vHvTN0lt6/exfPd3qJKvYr5HWae0F5NjcZVMm07fTQpYFmT2UTSiWQ8Lg9///YvLod/W4LZamb3hr2UqxIXkniFyI4kfJFr5w+SOkt7NR6v/z63082udXtCHVaeM5qMPPRRPyy2zIumtO3Vgn3bDvgndAUThk5myR8r8Li9Ac/pdrqpUMN/uggh8oNU6Qg/qUlp7Nt6AKc98CCm5l2aYjCc10BbDAepetwevnz6ez59bDQnDp3M2H7zU72ILVcyYxyAUgprpIW2PVuwZOpKnHZXwA9Fs9VEg7Z1qVKvUq5jObz7KDPGzGPRpGU40hw5HyBEANJoKzK4XW4+e/wbZn03H6PJiNaavs/fwO0v3JipB86hxCMMbDMYe4oDR6oDW5QVr8ebYx19kaWgROlovt38CTFlSgCQdDKZP76Yyb/TV2OLslGxVnnmjltIapI98CkMigrVy/HkyAdofnWTXF1+9OAfmPjxNIxGA8pgwGBQvDvzJeq3rnPRL00UD/naS0cp9Q3QEziitW6cvq008DNQHUgEbtVan8zqHCAJv6CNfOY7po6chSP1vyd7W5SVRz8eQLcBnTKVTTmTypxxC9mxJpHal9agRpOqPNv5db/pDi6KIk+7WV6srvd0pFmnxnw1aBwnDp4CoGRcCVKT7bid7hwbnJVSWCIs3PHSTdz2/A1BXXPl7LW8duP7fo3EMXElmHDgK795hkR4yu+EfwWQDHx/TsIfCpzQWr+rlHoeKKW1HpTdeSThFxyP20Pv2H44Uv2rC+Jrluf77SNyPMcPb0/k25d+ypN4DEaDb2RtIUr4RpMBj+fiYzJbzYzb9VmWA7rO9VafYSz4ZYnf9sgSEbwxeRBNOza6uGBEsZCv3TK11guBE+dt7g18l/7zd8D1eXEtERr2VAduV+ARqod3HyWYB4M7XriJO166CVOAeXFyy5sHiTWvedx5E5PJbGTVnHVBlbUH+AAGQJFlG4sQWQllo215rfVBgPT/BuyaoJR6QCm1Qim14ujRoyEMR2QnskQE0VkMmtJas/7vzUGd5543+vLZv+9SOj42L8MrVtwuD5FBzvtzVd/2fnMMge/Dp3GHBnkdmijmCryXjtZ6lNa6pda6ZdmyZQs6nLCllKLpVQ2z3Ldh8ZagzqO15o8vZmbUcQt/LocLW5Ql54JAxz6X06hdfWzRvuUejWYj1ggL/xv1YJZLQAqRlVD2wz+slIrXWh9USsUDR0J4LZEHmnVqwtIpK3E6Mve2sUZYKFMx5/pmgBUz1zDr+wWhCK9YmfTxnzS/ummO5YwmI0OmDWb59DUsnbqCEqWjueaeq6hct2gOZBMFK5QJfwrQD3g3/b+TQ3gtkQc69rmcrwaN9Uv4JrOR9je2CXjMgR2H2LvlAFXqVaRirQpMGzUnY8UpkbWje48HXdZoNNK2Zwva9mwRwohEOMiThK+U+hHoCMQppfYBr+JL9BOUUvcCe4Bb8uJaInSiY6P44K/XeKvPMI4fPAkaylaN45UJT/lVHzgdLt7qM4yVs9ZitppxOVy06NI060ZGkcFkMVGnRU3e7/8ZGxZvIb5mOa66rQOXdKifaZI2IfKaDLwSmaQmpbF3ywE8bg+lypfMMgGNfPo7/hg5E2faf98GjCYjtZtVZ2fCHlyOYjoI6yIZzUYioqy43V6caU5fb6Rz9lVvVIVXJz4jiV/kikyPLHJFa833r//ChPcnYzIbcTndtOnenEFjH8MW6d9LpFeJO/0GA4msGU0GylUtS6vuzTiw/SArZyUE7uqqoHzVsny/Y0SWa/0KcT6ZHlnkypyxC/nlgyk405yknknDZXfx7/RVfPzwKL+yR/Yek2SfS0aTkRue6MFjn97LtpU7sx7XoOHk4VMkLNiYvwGKsCAJXwDw8/u/+42yddpdLJiwhLSUzPPD/PrhH8VysrRQctpdbF+9i92b9kEOK4M57S6O7Qu+UVeIYMn0yAKAU0fOBNyuFKSeScvUaLv+n82FbhRsYWeNtHDmWBKPtBwUVPtGhZoyhbLIe/KELwBockVD1PlTHuPruVOqfMlM24IdJSp8lEFhtphZOTsBZ5ozx0nWDEZFrabV8yc4EVYk4QsABgy5jYhoG0bTf28Ja6SFgSPuy9R4uH31LjYt3VoQIRYZUbGRdO3XEbPVjMFooHnnS+j5UFe0N/CiKOfreFs7IqLlQ1XkPanSEQBUrluRkavf56d3f2f935upWKs81/S/itVz1zHuzV+oXCeePoOu59dhU/2WNxSZXdW3HU98/gDPjnkUr9fLlM9mMGrQONxBTB1tMBlo2LZePkQpwpEkfJEhvkZ5/vflgwDs23aQga2fx57qwOPysCthD8v+XEVcpdK5Wmg8HPV/67aMn3/75E++em5clstCns/r9nJol8xCIkJDEn4YcDldTP1yNrO+nY9S0G1AZ3rc3xmTOes//zcv/EBqUlpGctda40h1cuLgKUwWI26nfwIzGBVeT3h/GJQoHZXRx75F1yZ8/+qEoJM9QES0jTrNaoQwQhHOJOEXc1prXuj+NpuWbc1YyWrP5rEsnbqSIdMGZ1q68Fxr528I+CTvcrqxRlhxO1P99hlNJpTBg8cVXF11cZSaZOejB0cCCrfLjfv8hc7PEVMmmrRkR0avHZPZSGy5krS/qW0+RSvCjTTaFnOr/1rP5uXbMy1b6Eh1sG7RxmynPD67duv5lFK8Pf0F/0XMAY/LTanysVhsZkyW8Fx6z+PykJZkJy3JN3gtu5Hs1/TvxHWPXkPJsjGUKBVN13uuYsSyd7BYzfkYsQgnkvCLuXWLNmJP9l9Y2+VwsX7RpiyPu/npXljPm1LBYjNzZZ/LUcpARICumV6v5ti+E2ivxmAwcNertxAdG3hRlXARqKsr+CZQ63H/1Tz0QT9+PTyaScfH8L8vH8zyg1aIvCAJv5grXaEU1kj/xTbMVjOlKmS9KlWP+66m96PXYLGZiSoZicVmpkXXpjzx+f2UrxaX7eAhl9ON0+7it4//ZPzekdS4pGqevJaiSCnFJR0aZCR+ZVCYrSaeHv0wlevEF3B0ItzI5GnFXNLJZO6o/jBpSZmf8qNKRvLj3pE59vdOPpXCns37KVelDHGVymRsf6vvMJb8sSLTbJnni4yJ4NoHuzDls5kBF0cPB9YICx8vHkLVBpVYO38jLoeLph0byeA1kadk8jQBQIlS0bw36xXKVimDLcqKLcpK+epleX/uq0EN7omOjaJh27qZkj3Ac989Rtd+V2GxmbOcV0d7NcumrgrLZK8U2CKt9Lj/amo1rY7ZYqZl16Zc1qulJHtRYOQJP0xordm9cR9KQdUGlbPsnZNbHreHueP/5pNHRmVqGAYoU7E0seVi2LEmMU+uVVRYIyx06XclnW7rQOP29TPd67QUO39PWsapw6dp1K4eDdrWzbO/hQhfwT7hS7fMMKGUonqjKnl+XqPJSJe7rmDDP5uYM24RACaTAaPJyJtTBrFu0Sa+2Tre78OgOLv2gS48/NE9gO+DdtHEpUwbNZvTx5PYu3k/ymDA7XBhspho2rERr//2HEZTePZqEvlLnvBFntmzeT9r52+gZFwJ2lzbHGuEFafDxaAub7B9TSL2ZDuWCAtetxdrlIXUM2mFbtSu0WTM1UCp88WWi+G7bSMyqm2GP/wlc8ctynL9AGuklQc/uJteD3W94GsKISteiULD6XDy/WsTWD59DWUqlqJKg0pM+3JOoazbr1inAod2Hsm09OD5TBYjUSWjKFulDG2vbcHa+Rs4fTyJq/pczo1P9sxI9nu37OehZs/itGc/HXKd5jX4fMXQPH0dIrxIlY4oFOypDv53xcvs23oQe7KdvZv3s3zGmizLG4yGbJOtHwXxNStwfP/xHBNrjqdScGT3sRyvr72atj1b8MzoR7Itt3b+xqDq572F7FuOKL6kl44IqSmfzWDPpv0Zg7+ym2nTaDJwwxM9iIyJyLQolMVmxhbtv64uABqO7T2GUoq4yqWDjqv7fZ24+ZleVK4bn9FHXmtwnxOfyuL/Do/by7I/V+V4jZgy0RhM2f8vZo200LVfx6DjFuJiSMIXITV3/CKcacE12NZpUYuHPujHp0vfoVnnJhhNRiJjIuj5UFfueuWWLI/zDfRyUrZymYCDzM5VtWFlfj06mqdGPcyDQ++m54NdA04iZzQbfT1oshgpG0zXyrY9W2DKpjHWFm2jbota9JT6e5FPpEpHhJTFln0CPssaaeGeN/oAULV+Jd6b9XLGPq/Xy+1VH8r2eK19i7P0eqgrU0fNCfghY7GZ+Xz5u1gjrOccp30HB3BZz5bElC7BiplrMs1lb420cv1j3XN8TRabhaFzXuWlXu+SmpTqq97R0OmO9pQoHc0lHRrSokuTTAvMCBFKkvBFSF338DUkrt+TqZeKUhATF4PX4yXpRDLxNcvz4Ad306JL04DnOLTrCMmn/GfnPF9EtI2HP+pPx77tmfHNX6yak8Dh3UcBuLRjI54e/UimZA/Q7obWjHnpR79zGU1G2t/Yhh4PXM2LPd4mccNeDEYDLqebjn0up/ej3YJ6/bWb1WD8ni/YtnInLqebeq1qYbbI5GiiYEjCFyHV+c4OrP5rHQt+WYJSCoPRgDXCwrAFr1OlXiW8Xm+OT7jWSGuODamWCAvXPtgFgAZt6tCgTR3ANzBMa53l3P/xNcrTf8jtjHlxPB6PF7Qv2d/1ys1UrlsRgE+XvsOOtYkc3n2U2pdWp1zVsrm6BwaDgXqtaufqGCFCQbplinyxe9M+NvyzhVLlS9Kq26XZLr4SyOPtXmTLv9v9Er/F5ntabtOzBYPHPX7BT8/7th3k70nLQGva3dCaKvUqXdB5hCgI0g9fFCtH9x3nmU6vcfLQKVC+eedb9WhGt3s6Ua1RZeJrlC/oEIUoMNIPXxQrZSuX4dstn7D+780c23+C+q1rE19TkrwQuSEJXxQZZ+eWF0JcGOkPJoQQYUISvhBChAlJ+EIIESYk4QshiqTTx86w+q917Nt2sKBDKTKk0VYIERSP28P00X/x59dz8Hq8XH3nFVz3yDVBT5+RV7TWjHpuLJNHzMBiM+N2uqnbshZvTB5EdGxUvsZS1IQ84SulEoEkwAO4g+krKoQofN645UNWzk7IWMdg35YD/D1pGR8ueB2jMf9W7Jr17XymfjELl8OFy+GbEnvTsm28128Eb04elG9xFEX5VaVzldb6Ukn2QhRNW1bsYNWchEyL1jjSnOxM2M2KbNY3CIWJw6diP2/xHLfTzcpZa0g+lZKvsRQ1UocvhMjRhr8343H5L/2Ylmxn7YKN+RrLmePJAbcbDAZSTuc8yV44y4+Er4FZSqmVSqkH8uF6Qog8Flu+JCarfw2wJcJCXKXgF57JC626NcUYYGGZqNhIylYpk/H7qaOnObb/OBczfYzH7cHrzcUKbIVcfiT8dlrr5kB34FGl1BXn7lRKPaCUWqGUWnH06NF8CEcIkVvtrm8VcMI7g9FAp9vbh+SaXq+XuT8s4qkrX+Gxy17g9xHTcTpc3P1aH6JiozBZMrcbxJYrSeL6vRzZe4wnO7zE7VUeol+dx+hf73H+Gr+IE4dOBn3tnQm7efzyF+luu42eUXfwwYDPSEtOy+uXmO/ydfI0pdRrQLLW+oNA+2XyNCEKr50Ju3ntxvc5cegUSimiSkbw0s9P0bhd/ZBcb+g9I1g0cWnGWgrWSAu1m9Xkw/mvceZYEi/1eodtq3ahz1kT2BZtIyomkpOHT/nNrGqymGh2VWNe+PHJgL15XE4Xs79fyIxv5rJl+Y5Mx5utZuq3rs2wBW+E5LVerEIxeZpSKgowaK2T0n/uChTOOyaEAHzdHjcu2cq2lTspX70srbs3w2gyUrNJNb7b9in7th7A4/ZStUGlkK3WtSMhkQUTFmdamN6R6mTn2kSWTVtF4/b12bVub6Zk7yvjwOVwBVw/we10s2beeob0/Yh3ZryUaZ/H42FwtyFsWb4902I9Z7kcLrau3MnOhN3UbFItj15l/gt1t8zywG/KtyK1CRivtZ4R4msKIS6Q0+7k+W5D2LbS94RrNBuJjo1i+N9vUa5KHEqpkK4VcGTPURZNWsq3L/+cKdmflZZsZ9WcBEqVj8ViM2d0yzxLezVenXWdu8vpZs2CDRzbf5y4Sv/V9y+ZvJyNS7bgcrizPNZoMrB3y4FMCf/f6asZ89KPHNhxiMp14hnw9u1ZrtxWGIQ04WutdwKF99ULITIZ/85vbFm+DWdaeiK1u3CkOnnv7k/5cN7rIbvu3i37eeOWD9m39SBuZ9ZJ12Q2smvdHqaNmp2pi+i5NNlXU7sdbsa89BNte7agzbXNMRgNfPLI19kme/CtwVC9cZWM3//5/V/eufNjHKm+9ZO3rtzJq9cP5eUJT9Hm2hbZnqugyEhbIUSGmWPm/Zfs03k9XjYu3kLK6RSiSub9SFanw8VTV7zC6WNJOfaocbs8bPhnMwkLNmIwGkBBoPxuMCq8nqzPNeu7+SyauBSjycitz17HmZOBu3qeZbGZadKxEeWrleWL/33LzG/nkXIm1e/ajjQno54bKwlfCFH4edz+fe0BUAqPO2+7J9pTHcwdt5AZY/4i+VRK0N0nz8aR5TrHGl+yz+LD4Ky0ZDsA377yc7ZrJhuMimsf7MJ9797JC92HsGnp1oDVTWft21p45/aRhC+EyHDlLZcx7cvZuM6rVqnWsDIxZUrk+nxer5d5P/7D9NFz0VpzzT1X0fnODthTHDzWZjBH9x0P2EiaJ4LsgJhdsgcwmU2ULh/L7g172fzv9myTPUDp+NhgI8x3kvCFEBnufu1Wls9Yw/GDJ7En27FGWjBbzAz6bmCuz6W1Zkjf4fw7fVVGUt+6YgcLJy6lXsuaHN59NMfkWRg47S5mfjuP6FLRGAwq27K2SCt3vnxzPkWWe7KIuRAiE6fDxd+TlrF52TYq1q5A5zs6UKJUdK7Ps/nfbTzT6XW/xlVblJXY8iU5tPNIXoWcLwxGA1prv66gAMqgMFlMmExGtNY063wJD33Yj4q1KuRLbIWiH74QouixWM10uq09nW67uBG0y2esCdiTxp7qyOjZUpQEqvpRCiJjImnQti7rFm7MaBdYOnUl6xZt4puNwylVvvBU8cjkaUKIi+Z0uJj30z+MfeMX/v5tGR63h1VzEgIX1r7FS4oDraFkuZKsmbceR9p/H2Laq3GmOfl9xPQCjM6fVOkIIS7K0X3HefyyF0g5nUpaih1rhBWPy407wOya4ahyvYo89um9NL+6SciuEWyVjjzhCyEuykcPfMmJQ6d81RnaN72BJPv/7NtygFd6v8eW5dsLOhSpwxdC/CflTCozRs9lzfwNVKxZnks7XUJ8zfJUa1iZ9ClSMvFV3azNsWtjuHPanYx7a2KBr8glCV8IAcDJI6d5pOVzJJ1IzmhUnfTxn5htZsrEl6L3o92Y9d18ju49Tq1m1bn/3Tup1qhysN3dw5rWsGfTvoIOQxK+EMKX7Ifc9hEnDvpPK+yyuzi06whfPvN9xra18zbwWNvBgPKNaM1hVGu4UwZF7WY1CjoMSfhChLuZ387jk0e+wulw5Spp+/p76IxjDEaDVO1kwWKzFIoBWZLwhQhjR/Ye8yX7PBjx6vV4MVlM2c52GS6U8n3zMZqM1GtVm4eH9aNG46oFHZYkfCHC2aJfl5KXPbPDPtkrMBqNXHJFA5795hHKVS0LwKHEI7x6w1BWzlqL2Wbmmv5X0f/NvlgjrPkaniR8IcKY2+VBB7FIt9Fs9C0uIlU22VO++Yhuf+HGjE1JJ5MZ2Pp5kk4k4/VqHGlO/vh8JjvWJPL+nFfzNTxJ+EKEsba9WvD96xPgvH7zRrORTre1Z9f6PZgtZnrc15ndm/byxxezcaQ5pIE2K16YPGI6hxKPkLh+D/Va1iYixoY9xYH3nDl4nHYXm5ZuY8faRGo1rZ5v4UnCFyKMVWtQmZuf7sXEYX/gSq/HN1vN3PR0L/q/0dev/IAht3NDqXsyTSMgMjtx6BQzx8zD6/GybeVOtA68zoBSsGvdHkn4Qoj80/+NvnS4oQ3zfv4HgI63Xk6d5jUDljVbzMTEleDo3uP5GWKRc7bq6+yIY6Xwayuxpzo4cehkvsYlCV8IQe1mNTL1E3c6XGivN2Cj4i3PXMfXz/+AU57ygxawYVzD969OoF7L2jTt2Chf4pC5dIQQGU4cOsmLPd/mupi7uC7mbp7s8BL7th7IVOb6gd3p/eg1BRRh8eJIc/raUPKJJHwhBAAej4cn27/MylkJeFye9MXLt/JEuxd9C3anU0rxwNC76XpPx4ILthjJzzVwJeELIQBYOSuBU0dPZ2pg1FrjTHPx1w+LMrbt3rSPNfPWc9+7d9KoXX2MJkkjF6NW02r5di2pwxdCAHBg+yE8AaY1tqc62LN5PycPn2Jwt7fYs3k/RpMJr8dD38HXc+Z4Evu3HZQ++hfAGmml3+t98u16kvCFEADUbFoNo8kIZJ5mwRZto27LWgxsM5gje44B4HL4RtSOH/IbBoOSZJ8LpSvEknwqhVqXVueB9++mXqva+XZtSfhCCAAu6dCAao2qsGNNIi6HL+kbTUZKlimBx+3JSPbnCvupFAKIiSvBmWNJAfeZbSbueOlmrnukYBq9pfJNCAH4GmOHznmF6x7pSkyZEkTGRFC3VS1KlIrisyfGZHNg/sVYKOTwetOS7Fnuczs9JJ1IzuOAgicJXwiRISLKxkMf3sOvR0bT5MqG7Fy7m+1rErEnZ53EfNVA4SO719u2V4uAo2rPskZYaHb1JaEIKyiS8IUQfjYt28aav9bjSHVkX1DB6789R2xgqRfUAAAgAElEQVS5mPwJrBDIKqGXqVSaV355Otv2jFbdm9GgTZ1QhZYjSfhCCD/rFm7KaJjNitFk4OGP7qFNj+Z8ueYDzJbi3ySoDARc2xcg9XQqO9cmZnv8C+OfyPL4/FD8/0JCiFwrVb4kFpuZtGT/WTQr1ixP3Va1uX5gN+q39j2tlq5QimfGPMLQfiPwuItvjx3thYgS1oD19BpY8sfKLI9VBoXJlDnler1eVs5OYOvyHZSrFkeHm9piiwzdHPmS8IUQfjrc1IbPn/RvqLVYzQz/5y1iSpfI2OZIczB5xAzmjl9EmYqlOX7gRLFN+kpB9cZV2bRkq/9OrWnQtm6Wx1apVzHT72kpdp656jX2bt6PPdWBLdLKyKe/Y/iiN6lSr1Jehw5IlY4QIoCI6Ajen/sq5arGYYuyYou2UqZiKd6Z8VKmZO9xe3jqylf57rUJ7Fy7myN7jhXbZA+gDAY639YeW1Tmp3CloFT5WFp3b0bdlrUCHvv06Icz/f7j25NIXL+HtGQ72qtJS7aTdDyZd+/8JGTxyxO+ECKgOs1rMm7X5yRu2Iv2aqo3roLBkPkZcfGUFezZvN9/5kzl65HiSC08M2rmxSLrXq+XXz+aSsdb2/HXT39jMCgMBgNmm5k3pwxCKcWwBa8z9J7P+HvSMrweL6XjS/Hct4/SsG29TOeaM26h31rCWmt2rtvD6WNnKBmX9w3hIU/4SqluwMeAEfhaa/1uqK8phMgbSqlsF99eO29dwC6bZquJJlc2Yvn01aEML1fyZDSwhtPHznBln8vpM6g3CQs3EVsuhlbdLsVsMQNgjbDy8s9PobVvScjcdlsNZZNuSKt0lFJG4DOgO9AQuE0p1TCU1xRC5J+4ymWw2Mx+201mE/u3524WyJB3Xsmj83s9Xg4nHqFy3Yr0uK8zl1/XKiPZZ7qcUtkm+6vvvMLv3imlqN64akie7iH0dfitge1a651aayfwE9A7xNcUQuSTLnd3xGDMnEaUAovNgtVqyfX5lCE0Wd8Wbc3DdXhVlvX0uXHbCzdSrVEVIqJtoHxzFpUoE83gHx7PgxgDC3WVTiVg7zm/7wPahPiaQoh8Uia+FG/9MZi3bx9OarId7fVStnIcr016hnk/LyZx4x50kDUpWpPF0lA+BqMBrTXam7vMXaluPL0f7cY3L4zHnpLDQDLwfRPI4hLWCAuN29fPcgnI3IiIsjFi2TusnLWWLct3UL5aWTrcHNpumUpnc4Mv+uRK3QJco7W+L/33u4DWWuvHzinzAPAAQNWqVVvs3r07ZPEIIULD6/Wye+M+zBYTlerEo5TizIkkHmr2LMcPnsR7kT13TGYjfQbdQMe+l7N6TgJfDRqX48Aw8H1jGLvjM0qVL8nANoM5sP1QxgLsyqBQCrweDQrMFt/EZhVrV+CDAZ/j9XjwuDwYjEYMRgOx5WPocd/V9Hmud8AqnIKklFqptW6ZY7kQJ/zLgNe01tek/z4YQGv9TqDyLVu21CtWrAhZPEKI/JV0MpnJI6azdNoq4iqW4tKrLuGLp77NtgE10ILfNz11LQ++3y9jlOqOtYk82eFlnGnObM/VtX9Hnh39KOCb13/al7NY+OtSomIj6fXwNXhcHhZNXEpkiQi63duZeulVNQd3HWbuD4tIPpXCZT1b0uTKhgU6QjYnhSXhm4CtQGdgP7AcuF1rvSFQeUn4QhRvp46e5vaqD2dMvxxIg8vqUqVeRTYt28axfcdxpDiwRlm56cme3PnKzRiNvobQvVv2M/7tSWxZvoOTh06RfCol03kiom2MS/w807iB4irYhB/SOnyttVspNRCYia9b5jdZJXshRPEXW7Ykba5tzr9/rvLrgw6+FaDue+cOPG4PC35enFH9kpZk55cP/8Bpd3L/e3cBUKVeJQZ956sd1lozfshEJn8+E6fdRZsezXj4o3vCItnnRkif8HNLnvCFKP42L9vGe/0+Zf/2QwBor8ZkMRJZIoKHh/fn6juu4H9XvMz6vzf7HWuNtDLx6GisERfXsOn1etm+ehc/vDWRxPV7qNmkOne8dBP2VAd7N++nWsPKNGhbt1BX45yrUDzhCyHEuaZ8PoNRz47F6XD919tGQeW6lXjj9+eIr1kegP3bAvfhV8CpI2coX61srq/t9XoZ//YkJg6bSvKpFJRSaDRoOLjzCP9M/hez1YxSvsbcao2q8N6sl4mKibzQl1voyFw6Qoh8ceZ4El8+8z2ONGfmrpUadm/cy6Br3sTr9TXA1mxaPeA5lNFA6fjYC7r+V8+N5ad3f8+o69daZ3S/PNvd05nmxJHqwJ7iYOfaREY9+/0FXauwkoQvhMgXq+euw2gOPPJUezWnDp9m3aJNANzzRh+skZkHblkjrdzx4o0X1CUyLTmNP76YlfOCLudwOdz8Nf7vXF+rMJOEL4TIF5YIS/Z14gqOHzgJQP3WdXh35svUb1MHa4SF8tXL8ujH/bn12QsbqH9s/wm/EcHBKG6LtEsdvhAiX7To0iTbhO9xeWjQ9r/l/xq3q8+nS97Ok2vHVS6T68nTDAZF8y5N8uT6hYU84Qsh8oXFZuHNKc8TUcLml/itkVY633EF8TXKh+TaEVE2bniiB9YA0xbYoqyYrWYsNjOWCHNGPCVKl2Dgp/eGJJ6CIk/4Qoh8c0mHBkw4+DWLJi5l4a9L2L1hH1ElI+k9sDtd+10Z0msPGHI7JeNi+Pn9ySQdT6JGk2r0f/M2ylYpQ7mqcWivZtZ389mxNpHal1ana7+ORJWMCmlM+U364QshRBEXbD98qdIRQogwIQlfCCHChCR8IYQIE5LwhRAiTEjCF0KIMCEJXwghwoQkfCGECBOS8IUQIkxIwhdCiDAhUysUUR63hxnf/MWMMfNQStFtQCeuuacjRlPg6WeFEEISfhGkteaV698jYcFG7Cm++b13rdvN4sn/8uaU54vMsmxCiPwlVTpF0LpFmzIlewB7ioO18zcEXAdUCCFAEn6RtG7hJhxpTr/tzjQnCQs3FkBEQoiiQBJ+ERRbLgarzeK33RJhoVS5kgUQkRCiKJCEXwRdeevlKKN/Pb0yKK689bICiEgIURRIwi+ComOjeHfmy5SJL0VEtI2IaBtlKpbi3ZkvF7sFG4QQeUd66RRRDdvWZfzekexM2A1AzSbVMBhC8/mduGEvk0dM5/DuozS/ugnd7+tMVExkSK4lhAgdWfGqCNiZsJvZ38/Hnuqk/Q2taX519otB56WlU1fyVt9huBxuvB4v1kgLJeNi+GLlUGLKlMiXGIQQ2Qt2xSt5wi/kJn0yjW8Gj8fl9CXcOWMX0LZXS1744YmQJ32Px8MHAz7HkfpfjyBHqpOTh08x4f3J3PfunSG9vhAib0kdfiF28vApRj//A440J16PF/D1t1/6xwpWzUkI6hwup4vZYxfwVt+P+OyJb9i9cW/Q19+39SAOu3/3T5fDzd+//Rv0eYQQhYM84RdiK2atTZ8qwZVpuz3FwcJfl9CiS9Nsj3ekOfhfh5fZu+UA9hQHBqOB6V/P5ZlvHqFjn3Y5Xj8qJgKv2xNwX3Ss1OELUdTIE34hZrFZcAZ4wgYyVbNk5c+v57Jn8/6MEblejxdHmpNhD4zM8rzniqtUhtrNa2IwZn6b2KKs3PD4tUG8AiFEYSIJPw9orVm3aBPDHxrF8Ie+ZO2CDeRFY3itS6vhcXsD7ks6kZzj8QsmLAn4waCUYuuKHUHF8MovT1OlXkVsUVYiYyIwW830uK8znW5vH9TxQojCQ6p08sCXz3zHtC/n4EjzPUnP/WER3QZ04tGPB1zUeU8dOYMtypppzpyzjh88mePxkTG2gNvdLg+2qMD7zlcmvhRfrRvG1hU7OH7wJHVb1iKuYumgjhVCFC7yhH+Rdq3fw9SRs7GnOtAatPbVsU//ei471iZe1Lmr1KuY0Vh7LqPJSIM2dXI8vstdHQNudzlcxNcqH3QcSinqtarN5de1kmQvRBEmCf8iLZu2CneAhk2nw8VP7/3OY5e9QL+6j/HZE99w8vCpXJ27ZFwM1wzohDXSmmm7JcLMrc/1zvH4pFPJfvXvABarmUUTl+UqFiFE0SdVOhdg//aDjHp2LGv+Wo8yqID19Uop/p60DLfTDcDUkbNY8MsSvl43LGPAktaatGQ71ghLlguXDPxkAPE1yjFp+DSST6XQuF19HvjgbuJr5PyEPmXEjIDfEFxONycP5e7DRwhR9IUs4SulXgPuB46mb3pBa/1nqK6XX44fPMnANoNJOZ2K9mbdMOv1eDMlW7fLQ8qpFH4fMZ27X72VZdNW8unA0RzbfxyjyUiba1vw2Gf3UqpcbKbzGAwGbnn6Om55+rosr6W15t/pq/nji5mknkmjY5921GtViwM7DgUsbzQZadSuXi5fuRCiqAv1E/5HWusPQnyNi7Zx6Vamfz2HtCQ7HW6+jPY3tsZoDPzE/funf+JIcQRM9rYoGyiNM82F9no5/8HfaXcxffRctizfzqo5Cbidvqogj9vLoolL+ee3Zdzwv570fKALq+ck4HK4adOzOZVqx3P62Bm+GjSOvyctQylFx76X0/2+qzEaDcz76W8mj5iR0bi7deVOYsuWyHIkbkS0DZPFhNZaVscSIoyEbC6d9Cf85Nwk/IKYS+fn9ycz9vUJviStNbYoK43a1WfItMEBk/5THV9h3cJNAc9ltpopXSGWE4dP4bK7ApZRBpXtN4NzyxlNRgwGRc+HurL49385tv8Ebtd/7QVKKawRFuyp/r14zFYTSimcAeIwWYyYLWZKlo3h3ZkvUal2fKb9ToeLtfM3cPLQKTYt20rCgo3EVSpDn+d60/zqJjnGLoTIX8HOpRPqhH8PcAZYATyttc62L2F+Jvz92w/y0QNfsnb+Br99tigrz499nHbXt/bb9+nAr5k2anaW/eOLEqUU8bXK8+2WTzKe9BMWbuSV3u/h8Xixp9jhnLeHNdLKQx/eTc8HuxZQxEKIQIJN+BfVS0cpNUcptT7Av97AF0At4FLgIPBhFud4QCm1Qim14ujRo4GK5Lkzx5N4rO0LAZM9+LpVLpq4NOC+G564FrPVHMrw8o3WmhMHT7Jt1U4AUpPSGNxjCCmnU7EnZ072AI5UB6OeHRvUKF0hROFzUQlfa3211rpxgH+TtdaHtdYerbUX+Arwf1z2nWOU1rql1rpl2bJlLyacoP359dyAa8KeZTAoomIDLyRSuU4878x4iWoNK6MMRb/+22A0kHwqFa/Xy0u93sGZ05QNyjepWm6dOZHEtFGzmfD+ZLav2XWB0QohLkYoe+nEa63PZoYbgPWhulZubVu5A2c2Cd9sNdP93k5+250OF2vnrcft8vDJkreZ9d0Cvn5+bFDz2hRWHpeHBm1qM3nEdDYu3pJjebfTQ8myMbm6xqo5Cbx6w1C0BrfLzfevT6Bjn3Y8/fXD0mgsRD4KZS+doUqpS/FVDCQCD4bwWrlSu1kNlk5dGbhB02zkzlduZvvqRHau3U3bni2IKVOCtQs28Or1QzP63HvcHgZ+OgCjOXBvnqLAbDUz4O3bWTt/Iz8PnZxju4TBoKhQoxxma/BvG6fDxRu3fJhpegiPy8OCCYu5vHcrLr+u1QXHL4TInbBc8er0sTPcXWcgqafT/PZZIiy4XW7MFl8vF6/Hy8AR9/LFk9+Slmw/r6wZvL6kVtScXfB84YQlaAiq5xCAxWbGbDUzbMEb1GxSLcfyq+Yk8PrNH5B6xv9et7u+Na9Neja3oQshzpMvjbZFVcm4GLrceSWBahOcaU68bi+OVCf2FAdOu4tPHv4KjyfA9AlpriKZ7AFqNa3G/J8W4/XqoJM9+MYSpJxOZWi/EYCv4Tdh4UZ+fOc3Zn47j7TkzIk9uwcKr7fo93QSoigJ26kVHOmTnQVDa99gquJk++rEizp+96Z9HD94kqH9RrBxyRacdhfWCAsjn/qO9/96ldqX1gDgkg4NAiZ9W5SVrv06XlQMQojcCcsnfIBmVzfBFh3cFMHFoc99ntOa2d/NY8PizdhTHHg9XtKS7SSfSuHNWz7MSPIWm4UXf/wf1kgLFpsZZVDYIq207dWSy3tL/b0Q+Sks6/DBt9brwDaD2bflQMDGW5E1g9FAo3b1STmVws6E3X77rZEWRq7+gMp1/hvBe+LQSeb/vJiU06m06NqUBm3qSA8dIfKI1OHnwGwxM/zvt7jj5Zup2qCSJJ8gRZSwEVepNM+PfSzL+nmv28v59WWlK5Tixieu5a5XbqFh27pyv4UoAMUi4Z84dJLVf63j4K7DfvtOHj7F7O8XMO+nf0hNytygGBFl4/bBNzJ6w3Ce/ubhYjGQKpQMRgNPfH4/328fQbkqcbTqdmnAci6Xm+hSgQeuCSEKTpFutPV4PHzyyNfM/n4BFpsZl8NF046NePmXp4mIsjH5s+mMenasb655BV6P5pVfnqZ192Z+57qm31VsWrKVP7+em6teK8WWwm9qBaPZyLH9JzLm7g+0uAr4FlhZMmUF3e/tHOIghRC5UaSf8H/7+E/m/rAQl8PXVdBp983y+OnAr0ncsJeRz3yP0+4iLdlOWpIdR6qDN275kJTTKQHPd9ert2LKYiGSsBPgM89ld/HLh3+wcvZaX5EsPhiVQWWa1VMIUTgU7YT/yZ9+0xo47S7m/7SYsa9PwO1w+x3jdrn5dODogIuAWyMsWKOsftvFf04fPcPLvd5lxOOjKR1fCkuExa+M9mraXNu8AKITQmSnSFfpJJ9KDbjd4/bw7/TVgfe5PMz/+R8WTVrG4HGP0/6GNhn7XujxdsDRtyIzl9PN5BEziIi24Xa6MZqMeD1elEFhtpjo90YfylWJK+gwhRDnKdIJ/9KrGrFkygq/3iLlqsZx/MCJLI/zuL143E7eu+tTWhxuSkSUjR1rE9mZsFtGf+bC2akmLDYzl13Xgir1KtHp9g5Ub1SlgCMTQgRSpKt07h96F5ExEZgs/zUiWiOtPDK8f1ANrwaTgdVz1gFwcOdhjKYifTsu3EV2TnLaXaQl2Rkw5HZJ9kIUYkX6Cb9ynXi+WjeMicOnsmnJVqo2qEy3ezvx2WPf4A22p42Cbat2snjK8kwzOoaVPOiUdPpY0sWfRAgRUkU64QOUrVyGhz7ol/H7S73eYde63Xg9OVfNeD1edibs5u3bhuN0uPy/FQTomij8WWxm2t0QcH0bIUQhUqzqMFKT0lg5OyGoLoEGk4GBn97Lj29PwpHm9Ev2uZnzPZyZLCbKVCzNDY91L+hQhBA5KFYJ35HmDDjl8fksERY++/ddPG5vloOHXA63PN3nIK5Safq/1ZeRq98nqqSMrBWisCtWj7GxZWMoWzmOAzsOZdquFERE+xp3m3ZszL3v3E6l2vEkrt8rc7qcx2BUWCOsuJxu3E7/cQxnVa4fz5iNn2S53+v1YjAUq+cJIYq8YvV/pFKKZ8c8gi3Kisns+yyzRliILVeS0ZuGM/HoGF755Wkq1fbN4nhZrxbBN+6GCa9H43Z7qN2sBs+OeSTLch63/33zer389N7v3BjXn2tMfbin3uMsm7YylOEKIXKhWCV8gMbtGzAq4UOuf7w7bXq24O7XbmX0xuHEVSztVzaqZBSv/PI0tkhrwBGj4cpld5G4YS9RsVEYLYGnmjiSeIQdaxMzbfv+9QmMe/NXkk4kA7B/20HevHUYa+dvCHXIQogghO18+OdKTUpj0a9L+OihUXhkDhgAjCYj9759O3s272PGN/P8Cyho3a0ZQ6a9APjW9b0prn/Arq2N29fno4VvhjpkIcKWzIefC5ElIrimfyf6v9lXpkhOZ4kwU7ZKGW5+6rrABTRs/nd7xq+nj57Jcn78fVsPhCJEIUQuScI/R5/nruepUQ9htppQBhWwx48yKMw2c/4Hl8+sNguX927F9NFzsyxTsmxMxs+x5WKybKSt1lBG3wpRGBSrXjp5oduATnTpdyVr/lrP0X0nKFc1jgUTFrMrYTe1Lq1O6YqlmDB0MsV5UcRKdeN564/BeNweJo+YnmW5y3q1yPjZbDHT9/nr+fGd3zJV61gjLNzzZt+QxiuECI4k/ACMRiMtujTN+L1550tIOZPK6rnrOHHoVFCjeIsio9lI93s788Tn9wMw45u/zl+pMIPBqLjy1sszbbtt8I1Ex0Yx/p3fOHX4NNUbVeHBD++mcbv6oQ5dCBEESfhBmDt+ER/dPxKj2ddjxeP2YjQbC30Dr1JQsXY8x/Ydx5HmWzfAGmkhskQEqUlpGWsJmC0mKtQsz6sTn6Zag/+qXw7uPIzHHfg1lixbkjrNa553PcV1j3Tjuke6hegVCSEuRlgn/EOJRziceJTqjatQMi4mYJmDOw8z7P6RONOccM5U+WarCWUx4nYGmfQNQD5+MWjasRFD57yCwWBgxay1TPl8Bqln0rjy1svp2u9KEhZuYvrXc3HanXS6rT1X3np5xtKFZ9VpUZOIaFvGNMgZL8Vo4NHh/WXQmhBFTFgm/LTkNN68ZRhrF2zAbPWthdvj/qt5+KN7/Boe54xbiDfAU67JbGLAkNtYOTuB5TPXoL1etBe/niq2KCs3P9WLBm3r8n7/zzh15HRIXxtAdKkoHhtxL0f3Hqdc1Thadm1Ky65NM5Vpdc2ltLom8CLkZ13WqyXlqsaxf/uhjFG3ZquJ6o2r0uHmtiGLXwgRGmHZS+ejB0exZv4GnPb/1sKdPvovpn45269salJawGoNe4qDhROX8egnA5hyZizPj3uCiBK2gOV2b9hLTJloUk4FXks3L5nMRsxWM4+0HMSAhk8yoMETbF+z64LOZTQZGf73W/R8sAux5UpSqkIs1z/WnQ/nvSbTJghRBIXdwCt7qoMby9zjmxztPBVrlee7bSMybVu7YAMv9Xwn4IAig8mANcLKJ4uHcPzACd645UNSz2ReIlEpldHr58ieY37nUIosG0Zzy2Q24vF4QetM54wqGckPu78gKiYyby4khChUZOBVFhypjiwTbFKAJ/AmVzSkzbUtsAVY3Nzr9pKWlMYXT31L046NMubvOZclwkzLrk05czzwAiEqj56Uy1cvS/MuTbFGWPxen8ftYcHPi/PkOkKIoivsEn5MmRKUjo/1224wKC69qrHfdqUUL4x/gkHfP5blOdcv2ozJbOLtP1+gROloImMiiCgRgcVm5q5Xb6VOi1pZfsjEVS6NNdKSMcLXYjVTqkIshlwst9isc2PG7fycSzo0wGn3HyFgT3FwbH/Wa/wKIcJD2DXaKqX435cP8dqNQ3HZXXi9GpPFhC3Syn3v3BHwGIPBwOW9W2GJsPh665wnqmQEAPVa1ebnA6NYNWcdaUlpNL2qMaXKlURrTZn4WA7sOJzpOGuklVuevo6Gl9Vl4kfTOLz7CM06X8L1A7sz7P6RLJmyPOAHhdlmxmV3ZXSxfGa0b1bLBm3qYImwYD+vV01EtI0GbetcyO0SQhQjYVeHf9bOhN388uEU9m05QKP29bn5fz2Jq1Qm22M+efRrZo6Zh9P+X9K3Rlq4/cWbuH3wjdkeu2NtIs90eg2Py4PT7sJsNXFJhwa8MXlQwKqgI3uO8mjrwaSe8TUqo3yNqM+NeRSn3cWOhN3UvKQqHfu2IyLK11isteaZTq+x+d/tGR9MlggLNZtU4+N/3pKGViGKqWDr8MM24V8Ip93J23d8zPLpqzFbzTjtLjrd3p7/jXoQozHwNMLnSkux889v/3Li4EkatatPw8vqZtuXPXHDXj5/4hsSN+6jSr2KPDK8P7WaVs8+RoeL3z6exswx89AauvS7kpuevBZrhH8bhBCieMiXhK+UugV4DWgAtNZarzhn32DgXsADPK61npnT+Qp7wj/ryN5jHNxxmCr1K1K6QqmQXGPX+j082e4lnA4nbqcHk9mE2Wpi2II3qN2sRkiuKYQomvKrl8564EZg4XkXbwj0BRoB3YDPlVI5PwIXEeWqxNG0Y6OQJXuAEY+NJjUpLWMkr9vlJi3ZzqcDvw7ZNYUQxdtFJXyt9Sat9ZYAu3oDP2mtHVrrXcB2oPXFXCvcbPgn0G2FTcu2ZTnvvBBCZCdUrXiVgL3n/L4vfZsIUqB+/+CbbljmsBFCXIgcE75Sao5San2Af72zOyzAtoCPpUqpB5RSK5RSK44ePRps3MXetfdf7bfOrsVmptu9nQsoIiFEUZdjP3yt9dUXcN59wLnLHFUGAq5zp7UeBYwCX6PtBVyrWLrnrb4c2HmYf/9clTHBW4suTbn/3cBjBYQQIiehGng1BRivlBoGVATqAP+G6FrFktli5tVfn+HgrsPs3XyAKvUqEl+zfEGHJYQowi4q4SulbgA+BcoC05RSa7TW12itNyilJgAbATfwqNa6cK8WUkjF1yhPfA1J9EKIi3dRCV9r/RvwWxb7hgBDLub8Qggh8o6MtRdCiDAhCV8IIcKEJHwhhAgTkvCFECJMFKrZMpVSR4HdF3BoHOC/fmDhJfGGVlGLF4pezBJvaOU23mpa67I5FSpUCf9CKaVWBDNTXGEh8YZWUYsXil7MEm9ohSpeqdIRQogwIQlfCCHCRHFJ+KMKOoBcknhDq6jFC0UvZok3tEISb7GowxdCCJGz4vKEL4QQIgdFJuErpW5RSm1QSnmVUi3P2zdYKbVdKbVFKXVNFsfXUEotU0ptU0r9rJSyBCoXCunXW5P+L1EptSaLcolKqXXp5QpscV+l1GtKqf3nxNwji3Ld0u/5dqXU8/kd5zlxvK+U2qyUSlBK/aaUis2iXIHe35zul1LKmv5e2Z7+Xq2e3zGeF08VpdQ8pdSm9P/3nghQpqNS6vQ575VXCiLWc+LJ9m+sfD5Jv8cJSqnmBRFneiz1zrlva5RSZ5RST55XJm/vr9a6SPzDt1B6PWA+0PKc7Q2BtYAVqAHsAIwBjp8A9E3/eSTwcAG9jg+BV7LYlwjEFYJ7/RrwTA5ljOn3uiZgSf8bNCygeLsCpvSf3wPeK9rON7IAAAPhSURBVGz3N5j7BTwCjEz/uS/wcwG/D+KB5uk/lwC2Boi5IzC1IOPMzd8Y6AFMx7dIU1tgWUHHfM774xC+/vQhu79F5glfX8T6ucq3JmAn4Nf0Td8B14cy3kDS47gV+DG/rx0CrYHtWuudWmsn8BO+v0W+01rP0lq7039dim/BncImmPvVG997E3zv1c6qANez1Fof1FqvSv85CdhE0V+qtDfwvfZZCsQqpeILOiigM7BDa30hA0+DVmQSfjaCWT+3DHDqnKRQUGvsdgAOa623ZbFfA7OUUiuVUg/kY1yBDEz/yvuNUqpUgP2Fdd3iAfie4AIpyPsbzP3KKJP+Xj2N771b4NKrl5oBywLsvkwptVYpNV0p1ShfA/OX09+4sL5v+5L1g2Ce3d9QrXh1QZRSc4AKAXa9qLWenNVhAbad3/Uo6DV2L1SQsd9G9k/37bTWB5RS5YDZSqnNWuuFeRnnWdnFC3wBvInvHr2JrxpqwPmnCHBsyLp8BXN/lVIv4ltw54csTpNv9zeAQvE+vRBKqWhgIvCk1vrMebtX4auGSE5v6/kd3wp3BSWnv3Ghu8fp7YnXAYMD7M7T+1uoEr4O3fq5x/B9dTOlPzllucbuhcopdqWUCbgRaJHNOQ6k//eIUuo3fNUAIUlIwd5rpdRXwNQAu4JetzgvBHF/+wE9gc46vfIzwDny7f4GEMz9OltmX/r7pSRwIn/CC0wpZcaX7H/QWk86f/+5HwBa6z+VUp8rpeK01gUyb00Qf+N8fd8GqTuwSmt9+PwdeX1/i0OVzhSgb3oPhxoEWD83PQHMA25O39QPyOobQ6hcDWzWWu8LtFMpFaWUKnH2Z3wNkevzMb5zYzm3TvOGLOJYDtRRvt5PFnxfSafkR3znU0p1AwYB12mtU7MoU9D3N5j7NQXfexN879W/svrwyg/p7QejgU1a62FZlKlwtp1BKdUaX045nn9RZoolmL/xFODu9N46bYHTWuuD+Rzq+bL85p/n97egW6eD/Ycv8ewDHMBhYOY5+17E1wNiC9D9nO1/AhXTf66J74NgO/ALYM3n+L8FHjpvW0Xgz3PiW5v+bwO+qoqCutdjgXVAAr7/QeLPjzf99x74em7sKOB4t+Orl12T/u9sT5dCdX8D3S/gDXwfVAC29Pfm9vT3as2Cuqfp8bTHV92RcM697QE8dPa9DAxMv59r8TWYX16A8Qb8G58XrwI+S/8brOOcHn8FFHMkvgRe8pxtIbu/MtJWCCHCRHGo0hFCCBEESfhCCBEmJOELIUSYkIQvhBBhQhK+EEKECUn4QggRJiThCyFEmJCEL4QQYeL/BkafVSc2MSwAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Intertia for k=1 computed with Within Class Variance:100658.30932717779\n"
     ]
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Intertia for k=2 computed with Within Class Variance:28109.86181430989\n"
     ]
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Intertia for k=3 computed with Within Class Variance:2925.3885084444346\n"
     ]
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Intertia for k=4 computed with Within Class Variance:2588.8913875657645\n"
     ]
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Intertia for k=5 computed with Within Class Variance:2263.456564209235\n"
     ]
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Intertia for k=6 computed with Within Class Variance:1945.119418320722\n"
     ]
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Intertia for k=7 computed with Within Class Variance:1744.3041840540013\n"
     ]
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAXwAAAD8CAYAAAB0IB+mAAAABHNCSVQICAgIfAhkiAAAAAlwSFlzAAALEgAACxIB0t1+/AAAADl0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uIDIuMi4yLCBodHRwOi8vbWF0cGxvdGxpYi5vcmcvhp/UCwAAIABJREFUeJzs3XV8ndX9wPHPeZ5rcWtST1MXSoUa3hYr7s6GDgYbGwwd22Dsh40NGRuw4V7cvXhLlbZUqFsqadM0blef5/z+uGna9N4YyY003/frFUoePbdJv/fc83zP9yitNUIIIfZ/Rns3QAghRNuQgC+EEF2EBHwhhOgiJOALIUQXIQFfCCG6CAn4QgjRRUjAF0KILkICvhBCdBES8IUQootwtHcD9tatWzedk5PT3s0QQohOZdGiRYVa68zGjutQAT8nJ4eFCxe2dzOEEKJTUUptbspxMqQjhBBdhAR8IYToIiTgCyFEFyEBXwghuggJ+KLL8QWCbN9VRiAYau+mCNGmOlSWjhCxZNk2j70+i7e+XIpSCkPBpadO4uKTJ6CUau/mCRFzEvBFl/HMu/N4+8ul+AN7evbPvjePlMQ4Tp96YDu2TIi2IUM6okuwbc2rny3CF6g7jOMLhHj+g/nt1Coh2pYEfNElBIKhiGC/W3F5dRu3Roj2IQFfdAlul4OstMSo+wb3bXRGuhD7BQn4oktQSnHDL6bidtV9bOVxObjuwsnt1Coh2pYEfNFlTB4/iIduPJ0xQ3uTkRLPwQfm8N8/n8uoIb3au2lCtAnJ0hFdyvgR2Ywfkd3ezRCiXUgPXwghuggJ+KLTKiqtYs7STazbsqu9myJEpyBDOqJD8AdCfLtwHWs37yKndzrHTBxKnMcZ9VitNQ+99A3vfbscp8PEsmxyemfwyM1nkpoU18YtF6LzkIAv2l1RWRWX/3U6ZZU+vP4gcW4nj7/+Pc/ceQG9MlMijv9o1go+mPkTgaBFIGgBsH7LLm5//GP+c+vZWLaN1xckIc4lJROE2IsEfNHu/vXKd+wqqcSyNQBefxB/IMR9z37Bf249O+L41z5bjM9fdxJVyLJZvGob/57+He98vYxgyCI5wcNhY/ozd1kuRaVV9MxM4drzj+DoiUPa5HUJ0dFIwBftbtbiDbXBfjdbaxau3ErIsnGYdR81VVb7o15Ha81bXy7FX1MFs7i8mg9nrqjdv31XGX974jOcDpMjxg7gpw072LStiL490xgzpLd8GhD7PQn4ot3VF2iVUkTbddiYAbz/7XJCll1nu2VrLLvhksf+QIh/T/+OB1/8mp3FFaDBNA369Uzjf385j+QEz89+HUJ0dJKlI9rdcYcMxemI/FV0O03e/WoZll03sF9x+sGkJHpwOcP9FdNQuJ1mxCeB+mzdWUp+UQVagyY8HLRhWxF/fvSjFr8WIToyCfii3V173hH065lOnLvuB85qX5D/vDaTu578HAhXvATISE3g1b9fwhWnTWL8iL6cMnkkz955AfEeV4vaseCnLeTmFbF41VZytxe36FpCdERKa934UW1k/PjxeuHChe3dDBFDy9dt54t5azAMxbRDhjF8QA8gHMwfeOlr3v8mcqgGQCnQGlISPVx7/hGcOjmyfv30Txfx+BuzCIYiz28OQymcDoP+vbvx0I2nk5GaEPW4iiofq3MLSE+OZ2Dfbi26pxAtoZRapLUe3+hxEvDFz6G1ZqdvCWWBzaS6csjyjG70oefDr3zLO18trU2lBEhLjsOyNOkp8cS5HazaVNDovR2m4rqLpjB+RDa9MpPxuJzc/9yXvPP1sha/rr0ZCkYM7Mkzf70gYt+z78/juffn43KYhCybfj3TefimM+q8OeQVlPLvV2fyw4otJHhcnHPsGC46aTymIR+sReuSgC9iJmBV8nnetZQHtqKxURgku7KZ1vs/uMzoJYjX5Bbwq/97tU6w35dpKLTW2E38lYz3uLC1ZuIB2cxcvOHnvJRGuV0OXrvvEnpl7ZkPMGvxBv7y+Md1UkNNQzGsf3eevfNCIDwL+Lw/Pk9ldYDd/8Y8LgdHTRjCX68+PiZtFV1XUwO+ZOmIZluw61+U+jdhE6zdVurfyIJdD9MjbjwrS1+lIrgNSwdJcw9kQrffM+tHf4PBHohIzWxMtS8AELNgD+AwDMoqvXUC/qtR5gFYtmb9lkK2F5TRKyuFN774EZ8/xN4dKl8gxJcL1nD1OYfRPSMpZm0Woj4S8EWz5VZ+WSfYA9gE2VDxGRsrZqDZE9iL/Wv5Iu96tnmPA+LbuKUtp9EM6FN3fL60IvoKWaZpUFblI7TD5ruF6wmGIt/gnA6TjXmFEvBFu5CAL5rN1vX11HWdYF97PCEyBn0L6gTQnWdyk8NUXH/R5IhFU44YO5At+aURAV0pePmjBcz6cWNEKuluIcuOWi5CiLYgT49EhKBdRVlgC5YdfUZrr/gJqGb+6iSnVXP4cT9iOiycriCmI0Q4C77jClmaR16ZyT9f/Iqi0qra7ReeMI705HhcThMIB3qPy8HhYwcw68eN+IMWISvytTkdJiMH9aRfz/Rmt2VHYTkfzvyJb35Yhy8QbPwEIaKQh7ailq1DzC94mA0VH6MwAc3ItIsZlX5JnQycyuAOPtp6BSHbh6V9mMoD2Fg60Og9qitdbNnQE6U02tbM+3oUPq8LbSv6D8tjwuSVbFjVhyVzhhIKdpwPoCkJbt785+Wk1FTjLK/08vZXS5mzNJc4j5M+Wal8Onsl1b7owVgp6JWZwm2XHcOEkf2ade/HXp/Fa58vxjAMDKUwDMW/bzmTAwb2bPHrEvuHNs3SUUo9C5wMFGitR9ZsSwdeB3KAXOBcrXVJQ9eRgN++ftj1b9aUvYelfbXbHMrDxMwbGJxycp1jA1YVGyo+o8S/jnT3ENLcA/l827VRh3QaojV4q90YpoXHE34QGgoalBUn8dbTR2NZCqVstDaA9h0OOumIEYwfkc2jr8+kqDQ8jp+S6MHrCxKyrEazi5QCt9PBZacdzKWnTmzSPecv38wtj3yAz1/3jSQl0cMnj17d5NnFYv/W1IDfWr8tzwP75pr9EfhKaz0Y+Krme9FB2TrE2n2CPUBI+1hW8kLE8S4zgeGpZ3Fo9z8yLPVMuseNZnT65c2+r1IQn+CvDfYADqdNano1hx67jKNOW9Ahgj3AZ7NX8X9PfFYb7AHKKn0EQo0Hewi/ufkCIZ55b26dIaKGvP/t8ohgDxAM2Sxdm9fktgsBrRTwtdYzgX3nop8G7I4ULwCnt8a9RGyEbD+Wjl54rCq4g6Z8EhydcRmj0i7DIPrCJc1hOoMMPGAzMz8e1+JrtRbL1q3y1ME0DBas2NykY+sbr1cKAsGGC8UJsa9Yfh7srrXeAVDzZ1a0g5RSVymlFiqlFu7aJUvVtRenEY/LiD5pSgMFvqVNus7YbldyUvYzeMyMFrdpzbIcbK3oCL371hSy7CbX/Tnu4GHEuSPfQC3LZsyQPq3dNLGfa/cBQK31k1rr8Vrr8ZmZme3dnC5LKUV3z0H17i/wLm/SdbTWrCl9B59V1OI2le5KxrbM+u7U4uu3l2DIwuNq2qegYw4eyqjBvWqDvsM0cLsc3Hb5sfUuASlEfWKZBrFTKdVTa71DKdUTaLxIimhXvRLHk1f9PRZ1s20cyk28o2nFwbZXz2dDxaet0p6s3kWsW9GHnCE7mDhlBYkpXsqKEpn52Wh2bI76gbHTeGPGYiYd2Hi2jsM0ePjmM5i7NJdZP24gJcHDyUeOJLtnWhu0UuxvYhnwPwAuAf5e8+f7MbyXaAX9E49mUeFjWHbdgG8oB9mJU6KeUx7YRnlwC8nObJJdfWoe/EbP32+uYWNySetWTlbvEhyOmtLI3cs56YLvmfvFKNIzKwkGTdYu60fxrtadzKSpfyCpoX1NlV9U0eRjTcPg8LEDOHzsgBbeVXR1rZWW+SowBegG7AT+CrwHvAFkA1uAc7TWDRYZl7TM9lfkW8N3+X+hOlQIQIKjO1N63kOae2Cd4yw7wHf5t7O9ej4GTmyC9IyfiGX72OGN/c9w96+ttqGqysNrj08jFDRrMnp0OM+/GeP/u/8VqCjbbBdoA0x/+L4tfargdBgcN3k43hRYvHU7fdNSOPnAoYzv14c+aTILVzSfVMsUP0vQrqLMvwUbizhHOknOXlGPC+fsv1unN68wSXcPocS/PqLWTizN/2YES+YMxdpnvN90WFih+p4B7BEt2O8WckNVr70OsCBpKxjNKLlvOcKnGqGaMfgkJ6U9NL5QCHuvf38Ow2BQVgaPnneKBH7RLFItUzSL1pqlxc/wU8krGMqBrYP0jj+EI3r8FYcRuc7r2rL3I4ZuNBZF/lVt1eRauWt6RQR7AMOwSUyrpqykhYXKjL3eChzgzdLE7wRqevsNvWFowJcOJBkMrkzi0FE5rKGM2Rs3Rzx2Dtk2q/N3cfHzb/HldZdjGPtXdpJof+2epSM6hg3ln7GiZDqW9hO0q7B0gLzqucwt+EfEsVXBnYS0tx1aGZ0nPvozA9tW9OhX2Oj59c3r0gqCUTJVQwmK8n5QkQ1VWeBND5+/O4Drvb586RBKUpgOgzPPPoibLz6aFfkFDeYYFVZVsWDztkbbLURzScAXAKwofZnQPrNsLR0gt/IrgrZ3n2NfbcumNShkGdjpFlrVDaFK2aRnlqMNhVZgA7aKTObUgD8VqjPDAb42aCuwnRBIrufGpkI7FaEkRTBNUdEn/OZgOSEUF75eeX8IpIXfSfwhi5X5BWzYVdTo+H8gZLGzrOkPdYVoKhnSEQB4rehljhSKoF2F04ir3Vbgbd2lBFvi47njWV/ZHSNV4SndvVWTnF7FsWfP55nPjyHYF3TNb7rhh/idYIbCwT3khkAqoBSVbo2rDJQFofia3n0Th1W0S+HtXv9+j8NBSbWXM5+YTsBqfIasjOGLWJCALwDoETeGzZXfsW8f2GUkEWfWLefrNDrGQibVPhdrtvbBsk1Ih0CKDmfSmJDZv5J35x1MwHKxd6UH2wOVfTXuYrDdNUG9phKo7VL4YjD3L7wousmcDVsIWI0XlzMUDOshkxBF65MhHQHA2IyrcRrxNWWRw0zlZlLmjSi159ekyLeGXb6f2qOJdViWYv6qIdj2Xj1wU2HFK2y3wYbtPckvrqfuvKHwd1MEk1RtsG9NSW4XZ4wegcs0MZTikP59uWD8KLRuWmrPSSOHkuBuWukFIZpDevgCgBRXNqdkv8Dy4hcp8C4jydWbQUknscO7kKXFz5Hs6suBab9gRcmrWLp9F+DQGl7/5gi27cpA19tnab8Ml5NGDuXOU47hvjOmYds2r/ywlAe+mEWwCSU1TaUY2zd6KqwQLSUBX9RKcvbi0O7hKtblga18tPVyQrYfTYiSwHq2Vc0m3pFJe9exCVom24vSsexov76tMQ+2Za4/+rDa/39x/hIe+GImoSYu0G5pzbbSslg1TXRxEvC7AEsHWVv6HusrPgYUg5NPYUjKqRiq/h//oqL/ErSr2TvZ0NJ+vKEiDBzYRHvwaBDOh4mtymoPwVDHDPbJHjezN2xBozlsYD8e/WZuk4M9QLzLyfAeDTz9FaIFJODv57TWfJn3B3b5VtYubrKwcDPbqr7n6F4P1lm6cG87qxcTrSdv6SAOw4NtV0bsC0/YsqCZq141187SVBymRcja99e3/ScqVQeC3PHhFwAELZtgAw9pU+M8VAeCtQ9yHYZBRkI800YMapO2iq5HHtru5/K9iyj0raqzkpWlfez0LmWXr/6Sx24zelqgUgbH9Hoo6iLmtg4Rb2Zg4CKWfYnsrEKU6jglQfYWsm2qAkGqagJ5Q608a+wBXDRxNGnxcaTEuTlz7AG8ceUFuBzSDxOxIb9Z+7n86iVRZ8VaOsBO7xKy4kZFPe+A1AtZUPhInTcKU7nol3gUSikcRhxBe99l+myqrQIMnJjK4IDUK1hd9gYBu3UnEcW7/Zx15Gxe//rIBh7adgz1DXI5TZNzxh1ITkYat06b3NbNEl1Ux/7XIlos3pGBqdwR203lIs5R/6pUg1NOZVjqWZjKhdNIwFQuesVP4pCsW0h09MBuIFPHJoilA6wue52zct4l1Tmw3mObS+vw7NovF43p8MEewgvLjM/uVTvYpFQ42N9z6rHkZEhNe9G2pIe/n8tJOpqFhY9FbFfKpF/i1HrPU0oxvttvGZV2MWWBzcQ7u5PgCE8Gchge+iYcztaq2Q3Wvtdas6z4OSpDrbfYtq3hyY+Oo7yqhQXR2ojTNPnLiUcxoFs6C3K3EbBCTMzpS6Lk2Yt20PG7SKJF3GYyx/V5hHhHFg4Vh0N5SHD0ZFrv/zRpxqzLTCIzbmRtsN/t8O53MDDpRExVf+DSaLZVzY6o0fNzBUImC1YN6RTBXgFxTgfnjjuQYT0ycTlMDh/Uj6OGDpRgL9qN1MPvIrTWlAY2oVCkuHLqzc5pLluH2Fj+BfMK/oFF3d5+vJmJx0ylOLCuxfcJWQbvzjqY9Xm96AjZOA3xOBycPmYEJx84lHHZvev8XVcHgnyxah2FldUclN2LMX16ttrPQnRdUg9f1KGUIs3d+kvkGcrBwOTjKfAtZWPF5+F7YWIok6N6/YOd3iWUFf2vxcseKqXZsjOLjh7sAc4ddyB/OmEKEH6j/XzlOl5fuIxSr5eNu0owlCJgWThNg0k5fXn0/FNxmPJhW8SeBHzRYkopDu3+Rw5IO5/86h9xmyn0STgMh+Em1dWfzZXfUuxfS0h7MZULrW1M5SGoq2jqrF3T0EwYtob5q4ZFyb9vPaZSWC341JuREMfvjzq09vs7P/qKD5atxhuMfMgdsm3m527lrcXLOX/C6J99TyGaSgK+aDUprhxSXDl1tpmGi+N6P8KS4qfJq5pHnKMbqY5+rKl4n+aUaLAshdsZwrJj2xPuk5rM1tLyOksP7stpGCR6XPRMTmbKkP7Mz91KqdfHiQcM5ZJDDqodo99YWMx7S1fiD9U/+cobDPHG4p8k4Is2IQFfxFTI9vHptmsoD2whpL2UBTaznXkNnBE9c93WBks2DKhZpHwPBfRNS2FneSX+JpQebogCtpdXNBjsw23RTB0ygHtPn9bgcQtyt6GaMATVkZ6jif2bDByKmFpd+hZlgdzayV8NLW6uMBmeci5OFc/eY/WmclFY0ovi8sjlpzSQX16JUoruSQlNbtfZY0dy+aHjyElPrb2TJlwOYU97orO05rt1uY3eIzXOg9nIAioep4PTR49oUpuFaCnp4YuY2lgxo8kPbDPcQ5mY9XuGpp7K/IKHyfcuxmF4GJx8MlbhwcCcqOcFLAsF9EjpRpnPjy9Y/4pSg7ql89Ll55AWH05JzUpK5KEvv49YmMRhGBzYqztLtu2IOvDUlHr1U4cMwGHU36eKdzkZ0SOLCyZEn+0sRGuTgC9iyjQiZ/lGPU65GZtxFRB+FnBcn0dq99m25sYXn2rwfA2s2rGL8yeM4vWFy6KOm7sdBm/9+iI8zj2/9uHhlOhDKlOHDiAl3sPs9ZsJ2nt6/h6ng19OHNPoa3I7HTx3ydlcPf09qvyBcPql1pw8ahgpcXGM79ebwwb0w2jiMopCtJQEfBFTw1LOZK5/Q52aPKDwmKnYtkVAl5Po6MX4br+nV8LEqNfYVlpGua/xTwnxLid/On4KJ40cyts//sScDVvIKy1HKZjYrw/3nD6tTrAHOHb4IP719eyIa5mGwbHDB3PuuFFc9cq7rCsoxDQMApbFiQcM4aImBHyAET2z+PYPV7Jix06ClsXIXj1wOczGTxQiBiTgi5gakDSNHdULya38uuYBpoHDcHN8n8dJcfVDa7vOEorReJwO7EZqynscDs4bHx4aGd2nJ6P79AQgZNloNE4zepDtk5bCH44+jIe/mo1Vcw/TMPjt5En07xaudfPGlRewOn8X20vLGdYjk16pkc8SGmIYigN792jWOULEgsy0FW2iNJBLgXcZcWY6vRMObnDxlWjOf/o1luflR+TIu2t6y1OGDOCfZ57ws3vPuUUlfLFqPVprjhk+iAHd6lkPV4gOqKkzbSXgi04hv6yCS154i12VVSjCk5aOHJzDmWNGMjgrgz5p0ev3C9EVSGkFsV/pkZLEZ7+7lEVb8thZXsWo3t3pm57a3s0SolORgC86DaUU4/v1ae9mCNFpycQrIYToIiTgCyFEFyEBXwghuggJ+EKITqksWMnSkrXkeQvauymdhjy0FUI0iaUtZuyYx2f5c7C1zdTuEzi51xG4DGebtkNrzTMb3+Oj7bNwGg5C2mJwYjZ3jLySREfjy3Z2ZTEP+EqpXKACsIBQU3JFhRAdz70rn+XHkjX47QAA23ILmFO4lPtHX4fZyGzp1vTlzvl8smM2QR0iaIUL5a2pyOWh1S9zx8ir2qwdnVFb/ZSmaq3HSLAXonNaV7GlTrAHCNhBNlVuZ1HxqjZty3vbvqnTDoCQtlhcsprKUHWbtqWzkTF8IUSjVpRtwNKRFUh9tp+fylq+SH1zVNQT1A2lqA75ou4TYW0R8DUwQym1SCkln7eE6IRSXck4jcgRYJfhJN3VtmUtxqUNx4wSuuIdcXRz75l9XRaooNBf2qIVxSxtYevIFdg6q7Z4aHuY1nq7UioL+EIptVprPXP3zpo3gasAsrOz26A5QojmOiTjQP63/s2I7QaKqVmxGam1tc13BYv4dMccQjrE1KzxHN/zUC7KOYF5RcupDvkIsedTR6ozic1VO0h0xPOP1c+ztmILhlJ0c6VxUc4JjEodQrqraZVON1Xm8ei611lTsRmHMpmcNY6rB51NnNm09R06qjYtnqaUuhOo1Fo/EG2/FE8TouPaVJnH3SufpiRQgSLco75t+GWMSBkQk/s9tPolZhcuxVczXu82nAxM7MvfR/+e8mAlf/vpCdZXbkPvtYCNx3AT7/BQGijH3mdhGwcmo9OGcMvwS6Jm8wTtEF/vXMCM/Hmsrdhc53yncjA0qR/3j7kuJq+1pTpE8TSlVAJgaK0rav7/OOD/YnlPIUTLaK1ZVb6J9ZVb6e5JZ3z6CExl0j+xN09PuIM8bwGWtukb3x0jRtk5GyvzmLnrR4J6z3KVfjvIxso8fihewQHJA8it2lEn2IePCRAMBCOCPUAIi6Wl67h/1fPcdeBv6uyztM0dy//LmorNEQ+EAYI6xLrKLWyqzKN/Yu9WepVtL9ZDOt2Bd5VSu+81XWv9WYzvKYT4mQJ2kNuXP876iq1Y2DiUSYIjjgdG/4FMTxpKKfrEd4/Z/Qt8xczetZSXN39cJ9jv5rP9LClZQ6ozCafhqE3L3E2jowb73UI6xLKSdRT6S+uM988rWs6q8o0EozyY3s1UJtu8BXUC/sLilby46SO2+wrpHZfJpf1PYWzasOa85DYV04Cvtd4IjI7lPYQQreeNLTNYW7GFgB0EIEgIvxXggTUvcf/o38fsvtuqd3LvymfJ8xYQaiDoOjDJrdrOZzvm1LZxX40NUoeweCn3Iyamj2RCxgEYGDy+7vUGgz2EUz/7JfSs/X5u4TL+ufoF/DXtWF+5lbtWPMUfh1/OxIwDGmlF+5CZtkKIWl/kz48IpDaa1eWbqAp5SXDEtfo9g3aQW5Y+QnmwKmKIZl8hLFaUbWR52XoM6l/8XaEavNaXOxcwe9dSDGVwdt+jqQg2nL/vUg5GpQwmy53Ok+vf4cud86myvBHH+e0gz258TwK+EKLji5Zrv2df66Yn+qwA3+z8gRn586gMeRsN9rvZ2DV/1n98U67ltf0AvJT7Se01ozFQHN/zMC4fcCq3L/8vaypyCdiRw0275Xl3NXrv9iIBXwhR6/DMsXy6Y3bEsEp2fA+SnQnNvt7u1MrP8+eigWO7T2Jq9wn4LT9/+PFBdvlLoz4kbUsNBXsAh+EgzZXE5qr8muGu+oM9QFoTUz/bgwR8IUSti/qdyKKSVRT7y/DZAdyGE4dycOOwXzb7Wlpr7l/1PAuLV9amVq6v2MLswiUMSsxmp7+YYCPBsyMI2EG+3DmfJGcCqoFhJAC34eKCfse3UcuaTxYxF0LUEbSDzC5cxpryXHrGdWNq1gSSnM2vQrmmfDO3LftPRA/eY7hIdSaS7y9urSa3CQOFJvpwkQIcyoGpTEAzOnUIVw48g55xmW3Stg6Rhy+E6HychpMpWeOYkjWuRddZVLwy6nCNzw7UZrZ0JtGeGSggzvAwLKU/P5Wtx1fzXGBB8QpWlG/gf+P/3KGGeKR4mhCixYJ2kO8KFjF986fMKVyKpS2WlKyp9/iyYFUbti52NJDiSmRZ6do62U0ajd8K8mHezPpPbgfSwxdCtEihv4QbfnyI6pAPr+3HbbiwtNVgPn1jD0o7kx2+wqjbgzrE61tn8H3hEq4ZdA5j04a2ccsiSQ9fCNEi/177GiWB8to0R78daDDYdzV53gLuWvEkays2t3dTpIcvhNijOuTl8/x5LCtdR09PN0anDaaHpxvZ8T2oKZFSh6UtfixZ02BOvAhn+ry2+fN2X5FLAr4QAoDSQAXXLf4nFaGq2oeq72//FqdykOFO4eSeR/DlzvnsCpQyMKEPlw04lez4Hu3b6E5CA1uq89u7GRLwhRDhYH//qucpDpRHjK8HdYh8XxFPb3qvdtuysnXc8OOD0EheughTKAYm9m3vZkjAF6Kr+yJ/Ho+vf6PRGaT70nv9F8J56jK0E53LcHJBv2nt3QwJ+EJ0Zbt8JT8r2Edjo3EoUx7YQu2MXBODIcn9uHLgGeQk9GrnVknAF6JL+75wCa052V6CPZjKYGTKIK4fciFZnnQAdvqKuGvFUywuWY3LcHJs90n8Muck3KarTdsmAV+ILszSVpOGYUxloHXDi4uIsIuyT+C8vYZvKoLVXP/jA1QGq7HRBOwgH2+fxcaqbdw76ndt2jYJ+EJ0YRMzRvLK5k8jyiKbGEzJGk9u9XacysG0noewpSqfT3bMbvfqlh3dh9tnsdNfTG7VDoYkZRNnevBZgTpvlgEdYnV5Lhsr8xjQhksmSsAXogvLju/BmX2m8u62b2rH8V2GgzP6TOWXOSdHHH9J/1M4b86t7VoLR2uN9mvsz6pRaSbGoR6Us/5sIR3Q6CoLCm2wQA1yohyxyy4qCZbzRf58bGxstDwGAAAgAElEQVQ2VG5Fo+usJaBtDUFQcYrcqu0S8IUQbeeXOSdzaLfRzCxYDMARmQcxKCl6CqHTcJDkTMDvL633etrWWM9VYIxxo0Y4sd6swv7Ki/O5TJTRCoHWpwldUwQ7wm9Q6oEMGOQApwpnidqgnAqtNfg1wVN3QhAwAYcCJzhuT8OY6I5se4WN3hrCGBEeW9daR0w4i7ZtX7tTW0PaAl3TLFtjvVCJ/VZV+DVkmRQ9WAAXtPQvpOmkPLIQIkLAH0TbNu64yKD4Qd53PLfpg/rXlN1lETynADxAvIKKcI/W8XYWRobZpPtrr431bAX2Fz6wNMZkD+aVyeBRhB4pQ8/wwl6JReoAJ2qgE11koRf6UcOdqElu7Gcrw8F+X25wvpiF6r6nPVpr7Jk+rHtLcfwzA+IVqreJigtXoNF+jfVJNfobL8QpzNMSMA71NO31+DXB83ZCtYa9RsTccS7u+fhPjJ7SsiURpTyyEKLZivNLePBX/2XRF8vQtmb4wYO56Znf0GfInpTCU3odyS5fCe/kfR1xvvbbWJ/UrA/rA3x7dSg3h6AJAV9rTegPxegNwdpgbX/mxZ7rD1/Pq9m39ppeEUSv2Kta5ZIgekkDw05+CL1UgfOm1D3bAmA9Uxned3cJarQLx83h/TqoCf6+EHJDEC4ZROiHAKQaGFM8mOcl1nnziFBlQ2lk59rvDfDi397gwSl/a+ivpNVI8TQhBACWZXH94bezaMYyrKCFbdmsnLOW6w77M1Xlexb5VkpxxcDTOSZrUp3zdbWN3mFhvx699LE1vRId1NiWjV1koW2NDtpoS7P3SINeEkBvDtXtmYeAIhuqIoP9z6U/8WKXhtthrwkQ+kMRbKn52FBgo7/1Yb9Rhfba2N94w29Y/r0uYAPFNvb71QQv34WdG0SHNDpQN7Brn431Tv3loLet3dE6L6gJpIcvhABg0YxllO4qwwrtydjRWhPwBvn6lVmcck041XDzqm2U5Jdy2eiT2e4rYE1xLoEFXvQ3PuxvvdGHUAC9MEDo0TKwQX/ohTQDY6wL7dWobBPz0iRwK/T6EITaYKjZhtDpBfXvD4L1dAXWPB8oHf7EEo0FVGtCd5eC1piXJGFM8kBAg0thf+3DfrX+gD9wdL8WvYzmkIAvhABg+/p8rGDkxClftZ8tq/Mo2VnKbcffzZbVeZgOB7Zlcf6fTqfo3S3k/VSGHWy8663f9+75psTG/jocRfVc0KtCGKfHo6vtVuvFt4qfmpCRpIH14U8H1h2lWFkGqpcDvSUExfW/GHe8m0v+dl4rNbRxEvCFEAAMGN0P02Gybxfdk+hhyPiBXDvpNgq2hBf7CPrDwW363e9iGKpJwb4xelkAa9l+kuNfYKMLor+W9B6pVJZWMXBMDlf982KGThjUZs2SgC+EAODAI4bT74C+bFiSS9AfDvqmwyQlIwkrZNUG+72FAi2vwbO/Se6WRHlhRdR9To+Di/5yNqf+pn0KqclDWyEEEH4Y+48v7+DU3xxHckYS8clxDJkwkKS0BB677rkGTmy7NnYIjbxeb0V9g/0QClhUFFe2coOaTgK+EKJWXIKHqx+8lLcKnmHU5BFsXLqZ9Uty8VXWH8TCw0BdR0Ov9+BTxtV56L0vd5yLscccGItmNYkEfCFEhFXz17Hk65/wV/sbPlDB3969hdSs5LZpWAdQX0DP6J3OHW/eiG3V/zxjwgljGT5pcKya1igJ+EKICMtnrqp9MFsf02FwzcOXMunEg3hiyQM4Xfv/I0FlUG9ZheqyajYuzW3w/D9Nv67RsgyxtP//hIQQzZbWPQWXx4m3cp8qmk6TXgO6M2TCIE6/9niGTQz3VtN7pHHTc7/hH5c8ihXqSDmVrUvbEJfkjjpOr4G5Hy6q91xlKByOuiHXtm0WfbGMtT9sIKtfN44462A88ZHlLFqLBHwhRIQjzprE49dHPqh1uZ38a/bdJKcn1W7ze/28/+hnfDV9Fhm90inaXrzfBn2lIGdkNqvmro3cqTXDDx5S77l9h9Zd8cpb5eOmqXeydXUevmo/nng3/7vxBf416y76Do1NBU0Z0hFCRIhLjOOfX/2VrOxueBLceBLdZPRK477P/lIn2Fshixsm/5UX7nyDjUs3U7ClcL8N9gDKMDj6gsPxJNTthSsFad1TmXjCWIaMHxj13BufuabO96/e+w65P23BW+lD2xpvpY+Kokr+/ot/x6z90sMXQkQ1+KABvLzpcXJXbEXbmpyRfTGMun3EOR8sZMvqPALefSYZqXBGir+640ykMkyjwQeqTWHbNm89/BFTzj2Mr1/7HsNQGIaB0+Pkrg9uRSnFQ9/9jX9c+hjfvzMf27JJ75nGLc//lhEHD61zrS9fnknAV3eSm9aajcu3UFZYTkq31n8QHvOAr5Q6HniEcDXqp7XWf4/1PYUQrUMpRf+R2fXuX/rN8qgpm063g1GTD+CHT3+MZfOapaXBHgANZYXlTD7vUM679TSWzVxFalYyE44fg9PlBMAd5+b2128Il1u27GanrcbykW5Mh3SUUibwGHACMAK4QCk1Ipb3FEK0nW59MnB5nBHbHU4HeeubVwUy5skrrXR927LZmVtAnyG9OPFXR3PoqRNqg32d2ynVYLA/5hdHRvzdKaXIGZkdk949xH4MfyKwXmu9UWsdAF4DTovxPYUQbeTYi6dgmHXDiFLg8rhwu13Nvl6rrIgVhSfRTeutv67qHadvjgv+dCb9DuhLXKIHVLhmUVJGIre98vtWaGN0sR7S6Q1s3ev7bcCkeo4VQnQyGT3TuPvD27j3wn9RXelD2zaZfbpx5zs38c3rc8hduQXdxJEUrXf/JzrDNMLr2drNi9y9h/TktN8ez7N/mo6vqpGJZBD+JFDPLdxxLkYePozBBw1oVhuiiUvw8Oj8+1g0YylrfthA936ZHHF2bNMyY7rEoVLqHGCa1vpXNd//Epiotf7dXsdcBVwFkJ2dPW7z5s0xa48QIjZs22bzym04XQ56D+6JUory4gquHnszRTtKsFuYueNwmpx36xlMOf9QfvxyGU/d+nKjE8Mg/InhpQ2PkdY9hWsn3cb29fn4ax4wK0OhFNhWeNFZpytc2KzXoB48cPnj2JaFFbQwTBPDNEjtnsyJvzqG8245LeoQTntq6hKHsQ74hwB3aq2n1Xx/G4DW+r5ox8uatkLsXypKKnn/0U+Z9/FiuvVKY8zUA/nvDc83+ABVqciO/lk3nMSv/3lJ7SzVDUtzuf6I2wl4Aw1e67jLpnDzM78FwnX9P35iBjPfmkdCajynXDMNK2gx6+15xCfFcfwVRzO0Zqhmx6adfPXKLCpLqzjk5PGMmjyiXWfINqajBHwHsBY4GsgDfgAu1FqviHa8BHwh9m+lu8q4MPua2vLL0Qw/ZAh9h/Zi1fx1FG4rwl/lx53g5qzrT+YXd5yNaYYfhG5dk8f0e99hzQ8bKMkvpbK07qpScYkeXs59vM68gf1Vh1jEXGsdUkpdC3xOOC3z2fqCvRBi/5eamcKkkw5iwSeLI3LQIbwC1K/uuwgrZPHd63Nqh1+8FT7efPBDAr4AV97/SwD6Du3NrS+ER4e11ky/523ef/xzAr4gk04cyzUPX9olgn1zxLSH31zSwxdi/7d6/jruv+Q/5K3PB0DbGofLJD4pjmv+dRnHXHQkfzjydn76fnXEue54N2/vegZ3XMsebNq2zfofN/HK3W+T+9MWBozK4aK/nIWv2s/W1Xn0G9GH4QcP6dDDOHvrED18IYTY2wePf8aTN79EwB/ck22joM+Q3vzfe7fQc0B3APLWRc/hV0BpQTnd+2U2+962bTP93nd4+6GPqCytQimFRoOGHRsLmP3+ApxuJ0qFH+b2O6Av98+4nYTk+J/7cjscqaUjhGgT5UUVPHHTi/i9gbqplRo2r9zKrdPuwrbDD2AHjM6Jeg1lGqT3TP1Z93/qlpd47e/v1Y71a61r0y93p3sGvAH81X58VX42Ls3lyZtf/Fn36qgk4Ash2sSPXy3HdEafeaptTenOMpbPWgXApf93Hu74uhO33PFuLvrzmT8rJdJb6eXD/85ofEGXvQT9Ib6e/n2z79WRScAXQrQJV5yr4TFxBUXbSwAYNnEwf//8doZNGow7zkX3nEx++8hlnHvzz5uoX5hXHDEjuCn2t0XaZQxfCNEmxh07qsGAbwUthh+8Z/m/kYcN4z9z722Ve3frk9Hs4mmGoTjo2FGtcv+OQnr4Qog24fK4uOuDPxKX5IkI/O54N0dfdCQ9+3ePyb3jEjyccd2JuKOULfAkuHG6nbg8Tlxxztr2JKUnce1/rohJe9qL9PCFEG3mwCOG88aOp5n19jxmvjWXzSu2kZASz2nXnsBxl0yO6b0vv+dCUrol8/o/36eiqIL+o/px2V0XkNk3g6zsbmhbM+OFb9mwNJdBY3I47pIpJKQkxLRNbU3y8IUQopNrah6+DOkIIUQXIQFfCCG6CAn4QgjRRUjAF0KILkICvhBCdBES8IUQoouQgC+EEF2EBHwhhOgiJOALIUQXIaUVOimtQ+jqt8H3FqBQcWdD3JmElxEWQohIEh06Ia01uuQaCCwAvOFtwTXg/xJSn+g0y7IJIdqWDOl0RsGFEPyB3cE+zAuB+eF9QggRhQT8zijwA2hf5Hbth4AEfCFEdBLwOyMjHVRkXW+UO7xPCCGikIDfGXlOJPqPzqjZJ4QQkSTgd0LKSEalPQdGFqj48JeRhUp7DmUktXfzhBAdlGTpdFLKNQYyZ0JodXiDYxhKxeb9WwfXoatfBisPXIei4s9FGYkxuZcQInYk4HcCOrga7X0PtBflOS4cdJUKB3jniNje2/cNuvQ6IADYEFiArn4Rur2LMtJiem8hROuSgN/B2VUvQMWD7A642vseeI6ClIdinm+vtYUu+yOwd0aQD+xCdNXTqKSbY3p/IUTrkjH8DkxbhVDxAOGAa9ds9YLvawjMado1dADtfQ+79Hrs8rvQofVNb4C1CfBH2REA3xdNv44QokOQHn5HFvgelAkR68x70b5PUe7DGjxdax+66AKwNoL2Aia6+k10yn0YcSc1fn+VCNqKvk8eDgvR6UgPvyNT7vBkqmiiTbza95DqNyC0oSbYA1iAD8r/gq7vunvf3uwBzgMAc589caj4Sxo9XwjRsUjAbwVaa3TgB+yyO7DLbkcHFqB1RLe8+dd1DCMcpKOwyxq/gO9T6o6/76YguLxJbVCp/wazf036ZyLggvhzwXNKk84XQnQcMqTTCnTF36H6NXYHV+39AOLPRiXf3qLrKrsYTRx1a+bUsAuacIGE6Nt1KBzAm9IGMwu6fQyh5WDtAudIlNm9SecKIToW6eG3kA6uhepXCQdlXfPlheo30cFVLbu4oz97HtbW2QHOMY2f7zmjnh1+tNG3yc1QSqGco1CeoyXYC9GJScBvKf+3QCjKjgC66knsonOwdx0bzpCxCpt1aWWkQ9xZgGefHW5Uwq8av4AuI/qP2I3yz2hWW4QQnZ8M6fwMeVuLeOpfM1jyw0bi4yxOPWk4Z531E6a5z7i9bwYQDP9/9Wto36fQ7ePaCUtaa9BVoDz1Llyiku9Am32h+nnQ5eAch0r6I8rRhB569ctE/4QQBHtXU1+uEGI/EbOAr5S6E7gS2B1Z/qS1/iRW92srRbsq+P0vn6Sq0o/WGm8VTH9tGFu2xnPTjfP3OtKmbrANgl2OrnoZlfS78AzW8v8DOx9woN1TIfmvGGZGnfspZaASr4DEK+ptk9YaAt+hq6aDrgTPSeA8EKzN9Zxhgmvcz/wbEEJ0VrHu4T+stX4gxvdosVXLt/Lpu4vwVgc44ugDOOyo4Zhm9NGu91+bh98XrJOF4/c7mDmrH5dcup7MDC/hyUo2kQn0AfC+gR1cDoHZ1Pb+scD/GeyagR1/KXjOR4XmgA6AeyrK0Q9tF6Mr/gm+zwED3CdB/LkoZaC9H4H35T3pl8EVYKRR74idikdrJ2gtq2MJ0YWo1kgfjHrhcA+/sjkBf/z48XrhwrZdwOONF77n5Se/JeAPobXGE+dkxOhs7v73L6IG/ZuufJbliyN7zkrB2LFFXHnVVvr13YiKOkMVQBFlJlU9xzkAA+LPB99XNZ8GQvsc4yZ66qWrZn+0djhAucBID1fYdPSrs1frAATmh585BJeEl1I0u6MSrmx0spcQou0ppRZprcc3dlyse/jXKqUuBhYCN2qtS2J8vybL21rEI3d9wNJFuXW2+7xBVi7dyvyZazh06vCI83IGZrFy6VYsq+7YuNawbl0CCxdovv5yGKNH7WTs2HyMiPeMpr7BavaM/7/QwDH1TcAKNHDtUDg10/KiS66Abl/U9vR14Ad0ydU1M2yr95xibUAHfkQn/REj4YImvgYhREfSoh6+UupLoEeUXX8G5gGFhKPSXUBPrfXlUa5xFXAVQHZ29rjNm+sbd2495aXVXH7Gv6koj5LfXuOoE0Zx691nRWzP21LEby74Lz5fMGKfYdg4TJtA0IHHE2Tw4GLuuetbnM5oD047CBWPSn8Z5RyJtivRBYdS/5sIoBJQWfNQ0VbcEkK0i6b28FuUlqm1PkZrPTLK1/ta651aa0trbQNPARPrucaTWuvxWuvxmZmZLWlOk3367iL8/siAvZthKBKSPFH39c7O4N7HLiZ7QGbE+LdtGwSC4Q9NPp+TtWsz+HzGgNZreEwY4YfJ2kYX/5oGg/1uoU3Nvou2S9HVr6GrnkYHVza/mUKIFotZHr5Squde354B/BSrezXXutXbCfij5c6HOZ0mJ5x+UMT2QCDED3PWUVHu5ZHnr+Sam0/A7al/VMzvd/Dmm8OZM7c3waAiRo9LWkaHwDk6vMBJaHETjg82e91c7Z+N3jUZXX4fuuIhdNH52GW3tUr5CSFE08VyDP8fSqkxhId0coFfx/BezTJoaE/mz1obNeg7HAYXXTmF9Wvy2bh2J5OOGEJyajzLFuVy5w2v1gYpy7L57S0nYjpMok+8CttVmMADDx5CXFyQe+7+hn7Z5XScxBgXJN4Qfihb9ST11u2pZYDZJ/zAt4m0DqBLf7dXATeAEPg+Afcx4Dn65zRcCPEzxCxL5+doqyydspIqLj3tEaqrIjNYXG4HoZCF0+lAKbBtzW9vOYn/Pfgp3upAxLFoTSDQWKAMj+9rDXf937eMHbMzysPctmaA+wTwf8qekhBN4QblQqW/gnIOa/Ro7Z9dE/Aro1zqWIy0x5rTaCFEFB0lS6dDSklL4JiTRvPhmwsihll29/r91p4x/v/c9yFGlBTN+oeFNOGUyD1sO3z+X26fgmGA02kz6sCdXH7ZUnJymlD5srUZQ8H/8c840Q/ajy67BdXtg/AnnuBCCCwKL6rumYYy6inaFqEDP8wWYj/UJQM+UDN5qmnH2hpCDYz5R2pozMbAtsHvN/hhYS8WL+7JkUfmctWVP5Ka2lAqZSuzW1jYLbQB2yqAslvCufraD7ih4l5IfxG1e61d13iif3qIR8XVV9xNCBEL7T6w0F7GThqIJ65pY9G2FaueqMKyDb75tj+XXHYaM2f1idF9YqT6XQgsBl1NePy/GnQ5uvT3tc86lHKjUh8mXADOTfhXLg48U8Nj+EKINtNlA/7hRw+nV9+08Dh8u1MEAg7+fv/h/Pd/Y7AafyTQzsxweWb/R0RN47QK6tTxUe4pqMyvUEk3oRKvRaW/gEp5CKW67K+fEO2iy/6LczodPPzsr7jwislk9+/WITJntFaELLNDtKVeKgGMLFRqQxUzLPYdxlFmJirhknDAd42RGj5CtIP9IuAXF1awZMFG8vMiKzeUFFXyxUdL+Pbz5RFZOZ44FxdccSRPvfU7bvjr6R0i0M6c2Y/8/MT2bkY9TEj+W7i3bvYE1xH1HBdEq+Q2bZkQonEdYTzjZ7Msm//c9xFffrwEl8tBMGgxalwOt//jPDxxLj54fT5P/WsGpiP8vmbbmtv/cR4TDhscca3jThnLqmXhqpntmalaWeniuRdG8ac/zgFoszchrcFrmdy7diL94is5q9c60l37Dtc4wMrfq3b/voub7+ZG+b+G+HNi2GIhRHN16h7+e9Pn8vWnywgGLKoq/QT8IZYtzOXRv39M7oYCnnj4cwKBEN7qAN7qAH5fkLtueZ2qiujlA35x1dSaiVTta+rkzSgVDvZLy7rxy4XTGP/NBZwx7xS+K+wdcbxlh78asvebWFHAQ1nAWWdfni+RsxeczPRtw3lo/VimfH82P5WHa/NXhxw8nXsAZ88/hktm5TFre01pBVXfTRUNTUYTQrSPTt3Df++1+fj3KWIWCIT4dsZyfF4/oWDk089Q0OLR+z/mV9cdR0ZmUp19bo8Dj8dJZZTz2tJHnwzm0EPzWFSaxcULp+G1HYCiOBjH1T8exfHdN7O+KhWXYXFhnzXY2mazN5UbBi3GUFARdBDnsLBthQaKAnFctPAEQlrhMizyvEkopekfX8ajo79hRkE2D68/iKAO/zr4bQd+G25cfiTvTvqA0+efwjZvEj47vH/+129x/uDRHNVjLKONZFKc5fu8Ag3uKW35VyaEaIJOPdP2jCPvjTpb1jAULrcDnzd6gTTTVJgOkz/ecxaHTR1Ru/36S59izYo8bLt9/04yMqp5+cX3OWf+SSwqi7Zo+J6JXS4VIqCN2u8VGo0izellXGoBpUEPi0q7o2vnBtSdFJZoBogzQ+wKxNdzn91/Rn4YTDCdhHSAawcs47cDFtcc44Sk6zAS6l+hSwjRutqkWmZ7Gz2+f9Rsj8weKVih+sc4LEsT8Ie4/y/v4POGJzttWJvPxnU72z3Ya6DK62TD5hRWVdZXpGzPaw7omkVSUITDffj/S4LxfLkrh4WlPfYK9nXPBQjYJgG7vmEsVfMV/dekygritxWPbzqIb8ovg4QrURlvS7AXooPq1AH/yuuPIz7BhaNm3N0wDdweJ9fcdEKTKjGapsHi+RsByN9WUu+yhm1JAd5qJzfddCyZgepGj2+pgDbx2Q5Uk2vpRPJaFs9vzsFIugHljHwgLoToGDr1GH7v7AyeeOO3vDt9HiuXbSW7fybHnz6Wx+7/pMk9daVg3artzJ25ura3394UUO13wmILNcGu6bXHjr/eHn7TFfvrX0xGCNExdOqAD5DZPYWr/jCt9vvbr3uZ3PUFTQr4tm2zcW0+9932JoGA1aHqsxsWhLY7Yx7sW4PbMJnWd0h7N0MI0YiOH02aobrKz+L5GwmFmlCu2FT85paTePXZWfhrFjDfm9PZdumZ0d5mbBN8WR3/x+M0DLrHJ3Hp8HHt3RQhRCM6fkRphoA/2GCdyt1cbgePvvRrbMvGNKOfEYxxaqYGfOmwfZoDXzfF3qMqGtAmlI7q2B/AesQlcvOYI/nklMtIdkVfElII0XF07IjSTClpCWR2T2H7tuI625WCuHgXpsNk9Pj+XP67Y+jdN4PcDQXtUtPFMiHvdBe+LAPtUlQOMMmcEyJlpYUKQXVvg4IpTqyEtm+bgSLO4SBoWQR0/ZlOA5PT+er0q+rdb2uN0RFqVQghau1XAV8pxY13ns6ff/cSoZBNKGjhdjuIT/Tw2Cu/JiOzbn2Xg48YyiP3fNjm7fRnKnw9DLQjHBC1y6BgiouCKYSnvbZjoLTRhGybEek9+MWQMdw095Oox4XsyDcDW2ueWDGPJ36aT2nAR05SGndMOJqj+gyKdbOFEE2wXw3pAIwc248nXv8tp58/iUlHDOGXv57KU29dGxHsARKSPNz+j/Nwe5xtWibZVaZrg32EDtAr9tsWa8t2kez24KxnkGxbVRkri3fW2favJbP499I5lAbCpStyK0r4zXfvMTd/c7RLCCHaWKeeadtaqqv8zPpqJY/c80GDE7ZaS8gDG34dF/P7tIRDGdxy0GTWlxbyxoblEfsVMKX3AJ47+lwA/FaIsa8/QnUocnbzhKw+vHn8L2LdZCG6rC4x07a1xCe4mXbqWC695qg2GdMPJYAK7vNG24HeeAHcpknP+GSuHDEp6n4NLCncUft9sa8au57XsLG8OOp2IUTbkoC/l3MvPYLrbz8Vp7NmEZIosV8ZCqerZSmbxWNMXIVWeLHc3V8dYChnbx6Hk2OzB/P6uqX1HpPu3vMpJcOTgFnPClZDUrq1evuEEM23Xz20bQ3Hn3YQx548hiU/bKKwoJys7sl898UKNq3bycCh3UnPTObN578nyM9P2zQDCn8Ps8MF+d36J6Xx7NHnYNk2L6xZVO9xx/TdU0bBZZr8ZuTBPLp8Ll5rz7COx3Rw49gjY9peIUTTSMCPwjQNxh08sPb7sZMGUlXpY8mCTRQXVWBFyVBpKtuEspGODhnsHcrgvMGjuefg8MzlN9YtrbfCjoHi5Jzhdbb95sBDSHK5eWz5XIp81QxJ7cZfxh/F+KxOtji7EPspCfhN8PWnS/nXXR/ULo5iWxrTYTT7Aa8G/N1U1KGiWFBAv6Q08qsr8FnhBUniTAcJThdVwQDemm0uw6RvYgr/m3Img1P3DL9sqSwlVE8ufoYnnpHpdUs3K6W4eNg4Lh4ms26F6Ii6dMDP317Czu2l5AzMIiUtIeoxO7YV8/BdHxDwh8C/ZxUnp9NEOQxCTQ36Crae4cLfzUA7Yx/xD87qy/RpF2Ioxcztm3hpzSIqAgFOyRnOWQNHMn/nVl5btxS/FeK0/iM4KWc4DqPuGPzIjB4kOJxU7ZN5YyjFXyceIwuRC9HJdMmA7632c/ctb7BscS5Op0kgYHHimeO4+sbjMfYJel99shTbihzYMB0ml197NIvmbWDh3PVoW6O1jki28cQ5OfOiQxkxqi/XbPsUrz/2JY9TXB7uOvg4tleV0zshmSN79efIXv3rHDO59wAm9x7Q4HWO6TOYXgnJbK4oJWCHn1m4DJOhqZmc2G9YzNovhIiNLpml88g9H7J0US4Bf4iqSj/BQIjP3lvMx29HzgGorvl/q1UAAArGSURBVApgWZEPaP2+ALO+WslvbjmR92b9mVvvPou4eHfEcT5vkC0bC3AOTaA8GH0t3dbkVAYuw+Tkj1/gmPef4qj3n2LFPhOkmsphGLx1wi+5cMgYMjzxZHoSuHTYOF6r+eQghOhculzA93kDfP/VSoKBuots+31B3n55bsTxBx85FLfHGbFda1ixdAtXn/f/7Z17cFTVHcc/v31k8yCAkEQCIgEVFalGHvEBtqioSFuoGXXi2NYZ6zBWreUPOmrpKNXajm112jpVa1+2jm9bLGNV0KmtU6eCEQOiEYkKJaAS5BWJZpPNr3/cG7ts7iZLsrt3N/v7zNzJ3XPOPfeb3z3723vPOff87mHn9j2Uj/IKEej0a5eURbj2X08R9RjsTafbDEuAmCq7PztIZ6ybz2LdvH9gDw2rH6Y92jcUZCqMKipmRd15vHbp9bx66Xf4/qxzKAsXpVG1YRjZouAcfudnXUlnnnzS3jeIxxdmTOK0uVMpLunr9HtiyqcdUX5z53OcMrOGUKivOYsiIU45/7ikAULS1Q9+VOlI5o6voTgU6vP/dff08PTW5rScxzCM/KXgHP7I0aWMqRjRJz0QEGpnT+6TLiLc+OOL+d6t9Unr3NS0jVA4yI/u/gblI0soLYtQUlpEuCjE15fM49jp45O+STuupJziYIiAe68fCQapLC4jeBj3/nPGTeLfF19D3ZFH0xnr7pP/aayLDzvaU67PMIzhScEN2ooIS5cv4ofLHqUr2k1PjxIKB4kUh7nyuvM8jwkEApw57wSKIiFntk4CZSOcteCPP2kCj6xZxutr36OjI0rtrBpGjxmBqlJVOoJt7fsOOa4kGGLJ9NOYWTmB3721jh2fHGBO9SSuOGEmN/7nWZ7fvsXzaSQSCNLZE3OnWEb46ZkLAaitqCYSDPVZz6YsFObUygmDsJZhGMOJgnP4ADPPOJZfPHAVTz74Mq3bPmZ67STqLz+Diqq+K2r2EggEOH/RqaxZ9fohTj9SHGZxw//XmwmHQ9TNPTTcn4hw75cu4rI1j9DVEyMai1EUDDK76igun1pLOBDkl2ctOuSYW2bPZ33bDtqjUTp7uhEgKAF+PufLRGPdNO/dxQlHVPHVmhMpdfvUTz/yaE4eW03T7p2fz7svDoaYOrqyzywdwzAKD1st8zCIdnbxk+VP0vhyC+GiINFoN2cvOJmlP1hEMDhw71hHV5TV299hV8dBZlVNYEblhH778N/Z28aKV19gy77dTBk5hlvq5jMt4WWnRDpj3fyxuZEnWjaiQP0x07nqxNkUh/qOQRiGMTxIdbXMITl8EbkEWAGcCNSpamNc3k3At4AYcL2qrh6ovlx3+L3s+nA/H7TuYWJNBWMqyjNyjs1726h/7kGisRhdPTHCAWe65WMXXM70seMyck7DMPKTbC2PvAmoB15KOPk0oAE4CVgA3CMi2YsKnmGqxo3ilFmTM+bsAW5Zt4aDXVG63Beeunp6ONjdxc3rns/YOQ3DGN4MyeGrarOqbvbIWgw8qqqdqvo+0ALUDeVchUbjrh2e6a+37SCXuuEMw8gfMjUtcwKwPe5zq5tmpEhJkj734lDY1rAxDGNQDOjwReQFEdnksS3u7zCPNM/bUhFZIiKNItLY1taWqu5hz2VTaykOHjqJKhIM0XDsyT4pMgwj3xlwWqaqzh9Eva3AxLjPRwE7k9R/P3A/OIO2gzjXsGRZ7Rf5b/teXtzxHkWBINGeGGdV13DDzLP9lmYYRp6SqXn4q4CHReQuYDxwHLAuQ+calhQFg9w3r57t7ftoOfAxx4wcy9Hlo/2WZRhGHjMkhy8iFwF3A5XA30WkSVUvUNU3ReRx4C2gG7hWVQcfE7CAmVg+monm6A3DSANDcviquhJYmSTvduD2odRvGIZhpI+CWzzNMAyjUDGHbxiGUSCYwzcMwygQzOEbhmEUCDm1WqaItAHbBnFoBbA7zXIyienNLPmmF/JPs+nNLIerd5KqVg5UKKcc/mARkcZUVorLFUxvZsk3vZB/mk1vZsmUXuvSMQzDKBDM4RuGYRQIw8Xh3++3gMPE9GaWfNML+afZ9GaWjOgdFn34hmEYxsAMlzt8wzAMYwDyxuGLyCUi8qaI9IjIrIS8m0SkRUQ2i8gFSY6fLCJrRWSLiDwmIkXZUQ7u+ZrcbauINCUpt1VE3nDL+RbcV0RWiMiOOM0Lk5Rb4Nq8RURuzLbOOB0/E5G3RWSjiKwUEc/V5vy270D2EpGI21Za3LZak22NCXomisiLItLsfve+61Fmnojsj2srN/uhNU5Pv9dYHH7l2nijiMzwQ6er5fg4uzWJyAERWZpQJr32VdW82HACpR8P/BOYFZc+DdgARIDJwLtA0OP4x4EGd/8+4Ns+/R93AjcnydsKVOSArVcAywYoE3RtPQUocq/BNJ/0ng+E3P07gDtyzb6p2Au4BrjP3W8AHvO5HVQDM9z9cuAdD83zgKf91Hk41xhYCDyLE6TpdGCt35rj2seHOPPpM2bfvLnD1yHEzxUnJuA5wJNu0p+Ar2VSrxeujkuBR7J97gxQB7So6nuqGgUexbkWWUdV16hqt/vxFZyAO7lGKvZajNM2wWmr54qP8SxV9QNVXe/utwPN5H+o0sXAn9XhFWC0iFT7LQo4F3hXVQfz4mnK5I3D74dU4ueOBfbFOQW/YuyeBXykqluS5CuwRkReE5ElWdTlxXXuI+8fROQIj/xcjVt8Jc4dnBd+2jcVe31exm2r+3Haru+43UunAms9ss8QkQ0i8qyInJRVYX0Z6BrnarttIPmNYNrsm6mIV4NCRF4AxnlkLVfVvyU7zCMtcepRyjF2B0uK2i+j/7v7Oaq6U0SqgOdF5G1VfSmdOnvpTy9wL3Abjo1uw+mGujKxCo9jMzblKxX7ishynIA7DyWpJmv29SAn2ulgEJERwF+Apap6ICF7PU43xCfuWM9TOBHu/GKga5xzNnbHExcBN3lkp9W+OeXwNXPxc3fjPLqF3DunpDF2B8tA2kUkBNQDM/upY6f7d5eIrMTpBsiIQ0rV1iLyW+Bpj6yU4xangxTsewXwFeBcdTs/PerImn09SMVevWVa3fYyCtiTHXneiEgYx9k/pKp/TcyP/wFQ1WdE5B4RqVBVX9atSeEaZ7XdpsiFwHpV/SgxI932HQ5dOquABneGw2Q84ue6DuBF4GI36Qog2RNDppgPvK2qrV6ZIlImIuW9+zgDkZuyqC9eS3yf5kVJdLwKHCfO7KcinEfSVdnQl4iILABuABapakeSMn7bNxV7rcJpm+C01X8k+/HKBu74we+BZlW9K0mZcb3jDCJSh+NTPs6eykO0pHKNVwHfdGfrnA7sV9UPsiw1kaRP/mm3r9+j06luOI6nFegEPgJWx+Utx5kBsRm4MC79GWC8uz8F54egBXgCiGRZ/wPA1Qlp44Fn4vRtcLc3cboq/LL1g8AbwEacL0h1ol7380KcmRvv+qy3Badftsndeme65JR9vewF3IrzQwVQ7LbNFretTvHLpq6euTjdHRvjbLsQuLq3LQPXufbcgDNgfqaPej2vcYJeAX7tXoM3iJvx55PmUhwHPiouLWP2tTdtDcMwCoTh0KVjGIZhpIA5fMMwjALBHL5hGEaBYA7fMAyjQDCHbxiGUSCYwzcMwygQzOEbhmEUCObwDcMwCoT/AaXdSzFb04DwAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Intertia for k=8 computed with Within Class Variance:1529.0441434161046\n"
     ]
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAXwAAAD8CAYAAAB0IB+mAAAABHNCSVQICAgIfAhkiAAAAAlwSFlzAAALEgAACxIB0t1+/AAAADl0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uIDIuMi4yLCBodHRwOi8vbWF0cGxvdGxpYi5vcmcvhp/UCwAAIABJREFUeJzs3Xd8VfX9+PHX55y7sxOSkBAChL2HoCiiCNatOOuebbFa2/rV1i5/rdra2mG1rbauDiduxYmAKIqyp+ydsLJ3ctc55/P740JIuPdmQG4G+TwfDx4k557xuSG8z+e+z/vz+QgpJYqiKMqJT+vsBiiKoigdQwV8RVGUHkIFfEVRlB5CBXxFUZQeQgV8RVGUHkIFfEVRlB5CBXxFUZQeQgV8RVGUHkIFfEVRlB7C1tkNaKxXr16yf//+nd0MRVGUbmXVqlWlUsr0lvbrUgG/f//+rFy5srOboSiK0q0IIfJbs59K6SiKovQQKuAriqL0ECrgK4qi9BAq4CuKovQQKuArPY7fH+RgcRWBoNHZTVGUDtWlqnQUJZZM0+Kpl77g7blrEUIgBNx0xWRuuOxkhBCd3TxFiTkV8JUe479vLOGdT9biDxzp2T//5hKSEtxc8q0xndgyRekYKqWj9AiWJXn9/ZX4/E3TOD6/wQtvL+2kVilKx1IBX+kRAkEDXyByzr6isr6DW6MonUMFfKVHcDpspKcmRHxtUP8WR6QryglBBXylRxBC8OPbzsLpaPrYyuW0cdfN0zqnUYrSwVTAV3qMM04ZzJ9/eTljh/chNTmOU8b15x8PXc3oYX06u2mK0iFUlY7So0wYncuE0bmd3QxF6RSqh68oitJDqICvdFtlFXUsWb2LHXtKOrspitItqJSO0iX4AwaLlm1nx+5i+uWkMv20obhdjoj7Sin5238W8t789djtOqZp0S8njUfvv4LkRE8Ht1xRug8V8JVOV15Zx/d+/jLVNV68viBup52nXvqSZx65nqyMpLD9P/psAx98uoFA0CQQNAHYsaeEBx//kMd+fRWmaeH1BYnzONSUCYrSiAr4Sqf7x/8+o7S8BtOUAHj9QfxBgz89NY/Hfn1V2P6vf7AKnz/YZJtpWqzZsJcnnv+MOfPWEwyaJMS7OHVCHsvX7qasso7e6UncedMZnHXq0A55X4rS1aiAr3S6xct3NgT7wyxLsuqbAgzTwqY3fdRUW+ePeB6J5J256xrmyqmoquejzzY0vH6wuIrf/f1j7DadKRMHsnH7QfYUlNE3O4Uxw/uoTwPKCU8FfKXTCS1yoBVCEOmV004ayHsL1mOaVpPtpikxzeanPPYHDJ58/nMe+/enFJfWAKDrGrnZqTzx22tIjHcd03tQlO5AVekone7s04dht+lh2x12nTnz1oUF9luuOpWkBDcOe6i/omsCh10P+yQQzd6DlRSV1CAlSAmGYbGroJTf/PX9438zitKFqYCvdLo7bjyD3D6puJxNP3B6fUH++eIifv/kXCCU5gFIS4njpcdv4ZarJnPS6FwunDGaZx65Ho87clVPa61Yl8+evWWs2biX/H1lx3UuRemKhJSy5b06yMSJE+XKlSs7uxlKDO2o2cGy8hUIBKemTWZAfH8gFMwf+/envD9/PcZRPXoAIUK98cR4F3fedCYXzRgdts9r76/kqZe+IGiEH98Wmiaw6RoDcnvxp19cTlpKXMT9aup8bN1ZRGqyh7xcNQGb0nmEEKuklBNb2k/l8JVjIqVka802DvoOku3OZkj84BYfer6S/yoLiz8nKEMVNp8UzSfBloAlLZLsiVQU5UUM9qHrhf6urvXxl6fn4fMHOWl0LtkZSTiddv7y9HzenbeuXd6bZUkClsn23UX88k/v8vQfrg/b5/k3l/D8m0sbxgHkZqfy519d0eTmsL+wkn++sIiV3+TjcTm44oLxXHvJJPRWpp4Upb2pgK+0Wb1RzyNb/kyhrwgpLYTQ6O3K5OfDforHFnngU35dfpNgf1iNEXpwWmfWUeGUaHoKltn89Q1T8vi/F+JxO7AsyaQx/fhyxY52eW+NWVaovv9AUSXZmckN2xev2MmLby9vMg5gZ34Jv/jjuzzzSOjmUFZRx3fve5Ha+gBSSurqA/z39SXs2VfG/T+8oN3bqiitoQK+0mYvF8xmv3c/hjwUmSXs9+7npfzZjEgcztzCTyjyF2NKkxx3H67NvZqt1dvCgv3R4seWUbEqCczW9YDrvQGAmAT7w3Rdo7rGR3bmkW2vf7AyfByAJdmRf+Tm8NbHq/H5DRqnTP0Bg4VfbeV7155OZq/EmLVZUaJRAV9ps2VlK44E+0MMafJ12RKWli3D5Mhr+fUF/HnrX8ly9W7xvPbkIFlX7qXo/WzMWhtELMrsWFJKBuT2arKtstobcV+brlFd68Mwy/li2Q6CRvhHFbtdZ/feMhXwlU6hkolKm5kycs5FIpsE+8b77/Pub9W53bn15N6xAz2++U8DHcGmC350a/iiKVMmDoxYRgrwyrvLueXeF9h7sDzi64ZhkR1hughF6Qgq4CthvKaXQm8hASty0B2VNJLIQ6Lah6ZBxkUHEXYL6LwqMsOU/ON/n/PX5xZQVlHXsP2aSyaSkuTBYQ8FfSFCSyhOmZjHVyt3EggYYSOHIdS7Hzkkm9w+qW1uS2FxFR8u/IZFS7fh93f+zVDpnlRZptLAsAxeKniFxSVfo4lQX+CirAu4OPvCJhU4Jf5SHtz4O/yWn4AVwKE5kFK2mKNvq2C5g5J5mXjzPYTSO52X4kmMdzH7ie+QlOAGoLrWy7tz17JkzW7cTjvZvZOZ98Um6r2RfwZCQHZGEj/9/jlMHNOvTdd+6qUveP2DVWiahqYJNCH466+vZMTgrON+X8qJobVlme0S8IUQ/wEuAoqllKMObUsFXgP6A3uAb0spK5o7jwr4nWt2wWssLP6cgBVo2ObQHNyYex1nZExtsq/X9PJV6RIK6vfSz9OXHHdf/rj1z1HTPcfKX+LAt99F2cLeSFMDq3HQl3TkTeCCs0Zy0uhc/vnCF5RVhnr8SQluvL4AhmFhtfB/6fAngZuvPJUbLz+lVddcsW4Pv/jjnLCHxEkJbub8+45Wjy5WTmytDfjt9dvyP+C8o7b9HPhUSjkY+PTQ90oXZUozLNgDBKwA7x/8MGx/t+7m7Mzp3DbgZmZkTmdo4mBmZl/Sbu05nDJypgfw9K9nwN3byLtnC5mX7UVzNz9fTqx8smgTv/v7xw3BHqCqxksgaLYY7CE0lsDnN/jv6183SRE15/0F68OCPUDQMFm/eV/rG68otFPAl1J+ARz9lGom8Pyhr58HLm2PaymxEbACUXvnpf4yWvNJcGafi7gk+yJs4viLv2Sj3L0t0UBoIHSIy6ulz3X5gATNQjja9xNFc0xLtssTBV3XWLk+v1X7+vyRb24CGsYAKEprxfLzYKaU8iDAob8zIu0khJglhFgphFhZUqKWqussLs2FR3dHfE0i2Va7vVXnuSLnMn4z8n6SbO1Xdiga/ZYKG9gSDGwpAbA0ZCBytUxXZphWq+f9Ofv0Ybic9rDtpmUxdnif9m6acoLr9ASglPIZKeVEKeXE9HQ1H0lnEUIwLGFY1Nd31LRucJOUkoVFn1FlVLdX0yJew6i20xXq9I9FMGiGTRQXzfQpwxg9LBu3KxT0bbqG02Hjvu+fE3UJSEWJJpYDr4qEEFlSyoNCiCygOIbXUtrByKThrKlciyGbphEcmoNkR3KUo5r6pmoDi0u/jkXzGpj1+lEPb7ufNz5czaSx/Vvcz6Zr/OVXV7B0zW6+WrmTxHgXF0wfRW5220s7FSWWAf894GbgkUN/z4nhtZR2cHLqyby2902MoxYRsQmdiSknRTymyFdMoa+Q3q7eZLoy+LxkUbuXZx7NlmiQMLYCRy8/MqhRuzGJQGn3Wrik6NDiK62h6xpTJg5kysSBMWyR0hO0V1nmbGAa0AsoAn4DvAu8DuQCBcBVUsrIww8PUWWZnW9PXT5P7vgXlcEqQJLqSOOuQXfQ15PTZL+gFeTJHU+xoWojNs2GYRmMShqB3wywqWZzzNvZ8GtrgVGns/e5gchg98jn220a55wxHEvCN1v2k52ZzLdOH87YEX2aTNKmKK3VoXX47UUF/M53eJStKS2SHImkOyM/V3ml4FUWFjWd/VJHI9eTy17vvrC0UCyVf9GLiuVpESZda22dfsfV8+u6hsdlxzAt/AGjYVEXCKVvBvRN4+H7ZqrAr7SJmg9faRMpJe/uf48PD36MTegY0mBM8hhuz/suTt0Ztv/nxV+EpW5MLHbX7+mgFh9RtyOh1TNstl373Ax0TZCZnsjkCQPYd7CSFev2cHRfyzAttu8p4Ue/eZ3X//k9tChr/SrKser0Kh2la/iqdAkfFc4lKIN4LR9BabC+8hue3/Ni2L5l/nL8lr8TWhmZ7m6uHv3YV7+y2QwmTduIJ77p7JhZuSVceP2XXH3HPE4+awNO1+HBatE/Leu6xlUXnsQ93z2brbuKwoJ9Y+WVdazduPeY260o0aiArwDwUeHHYaNsgzLIsvIV+M2mwf3jwk86smnN0rAYc/pWbI4IKSQhccf5sTuD2B0B7I4A4UFZYrOHjtU0CyFCNwi7I0hyrxomnbWRc6/+msSUWmx2g5En7eDKWZ8yeHQBfQaUcMrZG7jh7o9wukM/o9C5wqN5IGiybXcR1YFdeOKav1kGgibF5a1/qKsoraVSOgoA1cHIAUYg8JreJmmd7TWtG4QVe5LxcXvoPbYKvUxj2aej0W0mVkN6R3LLT98n4LeTkBjqpRcdSOGjl06nqiIBoZn0zinj8u98xlvPzWDq+WvYvqEvddUeBgzfz7Bxe7DZLfoPKeTW++YgpUAI0PUjAd1uN4lL8DLh9C0smT+WvOF72bkxF9Ns+gDZ6bSRlLGbhfseZNyZfSh5axJGsPF/v6apoyw1hbISAyrgKwAMTRjCqorVHD15gMfmIdHedNSsS+/MEsjD7RM4hEGWswpdSCbP2Mi4U7dTtD8Vd5yPmkoPcQk+3J4gbs+RZw1Zfcu5+acfsPjjcWRkVzBs3B40XXLh9Ytxuf30HRQ+XCQU5EPXjpSKsdktBo8uIDWjCqFJKkuTKT6Q0uh4gcOu0WvkbCzpZ9j4XVRVuFm+cFToHUnBwBF7GTN5OwvePoXqskQG9484MF1RjosK+AoAV+VczsaqjfitANahvLdDc3BTv+sbpkqG0Nq0O2t3dVIrJRqSM5M2U2W48UsbotENyuUJ0G9wIQDpWZVEW1PdZrOYdvHqJtsSkls3mVm0c6ZlVpOWWY2UMGhIPVsX/oRPF2/BMC1OGp3LldfUUqz7Qv14AZNnbOSkqVuoKE0gIcmLO86PZcG1P/iEvV/9otVTLyhKW6iyTKVBib+EDw58xLaa7WS4MpjaawqbqjezvWYHma5MLsw+n7kH57GsfHnYJ4GOI8l1ljEurgCIHoA7U/+EK5mQ8SsALMtiV/VrbCh7HItAC0eCZdgZm/ETBqd8O9bNVE4gqixTabN0Zzq3DrgZgEJfEQ9s/C0BM4CJyV7vPtZVrSfFntyJwR5AUBaM75KB/rBRqT9o+Hpn9StsKHscGWHpx0g0WxCv2brlIBWlrVTA7wEMy2Bh8ecsLv0KgeCM9NM5M/0MbFr0f/439r6Fz/Q1BHeJJGAFqApWows94lTKAtHON4PINfAeveWecmexi0SKvEsBSYb7VDaXP9XqYA+gCw8pzuiT2CnK8VAB/wQnpeQvWx9jZ92uhrLLA3sPsrZyHfcMubvJ0oWNbaneEjF4B60gDt2B1/SGvaYLHUtaDc8AjleSqKVaepAcqXjRMRnsLmyX88dCUNazpuS3AJjSQBJ9XiG7loQpvVgy9O8isOHSU8mOn9EhbVV6HlWHf4LbVL2ZXXW7m9TYB6wAW2u2s702+pTH8fb4iNuFEPxk6P9FXMTclCZJ9kTswo5+nL9acZqP05J3kO2oRMNCx8QuDMbGFZBurz2uc8eWgSHrMWQ9kkh1/0f0T7iUvMSrcWgp2LVE+iVcwrScF9GFemCrxIbq4Z/gttZsizgqNmgF2VaznSEJgyMed17vc3ml4NUmNwq7sHNy6kQEApfuCuvlSyQVwUpswoYmdC7Ouoh5RQuoN+tb2dojKZxcZxk2IZmYkE/Q2ktQ2nBrgS6du49MI9JoXw07AxIvI97RjzG97un4Zik9kurhn+CSHck4tPAeo12zk2SPvirVtPQzODtjOnZhx627sQs7o5JGcnP/G0lzpGFY0SdHM6RBUAaZV7SAx8b+mRx3TtR9mxKESi9NXFqAw1PJ2DULj94dgz2AIM05gSPPIgQadiZk/IZ4R7/ObJjSA6ke/gnulNRJvFbwRth2TWhMSo1exSWE4Orcq7go+0IO+g6S6kgl1REaTOTUnYxPGcuainXNzn1vSYt3D7xPsb/1a9/oWAxwFZNk8yJl1yy7bAtd2Bibfh+JjjxKvCuxZIBe7onYtbjObprSA6ke/gkuzhbHfcPuJdWRilNz4tQc9HKk8fNhP23ViNk4m4dB8QMbgv1hs/K+y9T0KdhF+HqrR0jWVa4Lm6OnJUM9hSTZfN082At04aJ/wuUkO4eiCTuZnlPJijtTBXul06iBVz2ElJL93gMIIch2ZUWtzmkrU5osKVvK87tfIiCbBvYUezIJ9kQK6gta00J0LEbH7aOfq6xd2tZZNOGiX/xF9E04nzTX+CY/a8PycqDuU3xmOWmusaQ6x7Tbv4XSc6mBV0oTQghyPH3a/by60JmSdhrbanbwdekSBKAJHV1o3D3kR2yt2cabewvDbgZHSEDSx1FBnquEVHtrH/B2XQMSrmBs+k+AQzfa2gXsrn4Lv1lJbXAPILBkEE3YSHdPYnLvv6IJ9V9RiT31W6YcNyEEtw24mfN6n8OWmq0k2OIZmzwGh+agjzubleWryK8vwG/5sQs7FhYeTSdo1ZNmq2RYXBHxeleZX1+HNgyUOppTS2VE2h0N368teZiC2o8wZfi4BVMalHhXsKf6HfKSrjrmaypKa6mAr7SbbHcW2e6sJtvsmp2fDfs/FhXNZlPVOpIdyQyNT+Zg7auY0tdJLY3OY+tDvbGP5hZOEdiwa/G4bb3p7ZlKqXclAauKnPhzGZR8fUOOviawh/zaD7Bk9JuZKX0q4CsdRgV8JaYMy8sX+2+jNphPH7sXTdrZVxO9sida3Xp0gjhbH+qNEiTH+ylB4DMOtuL6kt5xZzAx48Fm9yrxrow4QC38bO0zMllRWqKqdJSY2ln1GtXB3Q0pDauZqQYEOoOSrsMm4mg8h46GE124oxwl8RpFaELg0lo/h3y/+MsZlHQj8bZ+ja4lj2pf5GAtMSmqX9ziNZx6EgK92X104aJfwsWta7SiHCfVw1dial/tx82mNBpLdg5nTK97GZB4OetK/0iJd2WotDHxUlx6OhvKH494nEUQpEGSI5NgoLrZVFG8LY8zc57DqYfKTN22DDaW/SNs6mKBTopzFOX+9USaHiF0U2peb88ZCKFHnV1BF26SncMZoNI5SgdRAV+JKU04W96JUE93xKFphRMcAzg9+6mG16S0+Dj/vBbOIKn0byEv8Sp2Vb+FFSG9I3Ayo+/L6JqryXGRI7IgK+4MHHoSRfVLmkyCpgsXA5Oubfk9aU6mZj/N1wd/hGHVwaHlWnLjz8ehJ9HLPYEM92SEUB+0lY6hAr4SU3lJV7G2ZMdRVSoCh5aMlBZBWUWcLYdRafeQ6Zkc8Rx1xn6CVsuLets0D2PSf0pOwnnsqX6XovpleM0DgCDddRInZTxwVLCH7LjpbCx/MizmC6GTHTeDAYlX8NXBu6gO7ECgYxEkJ/4cBiZd3ar3n+wcxvn95lLh34yUQVJcI9GaHaymKLGjAr4SU7nxF1JSv5x9dfMRCAQ6uubkjOx/k+Doj5RWiz1cXbhafLCpCScDEq8EINU1mlTXaAAsaQAyapCNs/dhZOpdbCx/AilNQCKEjeEps0g4NNfNWTkvUunfSr1xkGTHUDz2rIjnikYIjVTXyDYdoyixoEbaKh2iOrCLMt9aXHoamZ7T2tzL/XzfzVT4N4YtJnI4ZZTlmcqkzN8fc++5NpDP/rqFgCQ7bjoJjv7HdB5F6QytHWmrAr7SLdQbRXy5/3v4zdC0CxYmmZ4p9E+YSaJjIHH29h9FrCjdhZpaQTmheGyZnJM7hzLfGrxGMamuUcTZWzvtsqIooAK+0o0IIejlntDZzVCUbkvVgymKovQQKuAriqL0ECrgK4qi9BAq4CuK0i1VlVazZuE37Nt+sLOb0m2oh7aKorSKaZh8/O+FfPTcAizT4uwbzuCSO8/F4XJ0aDuklDxz34vMeWIuDpcdI2AwZOJAHprzM+KT1fKRzYl5wBdC7AFqCK0qYbSmVlRRlK7noaseZdX89fjrQ/MU7dt6gMVvL+PRRQ+i683PCtqe5v3vcz741zyC/iBBf2iOo83LtvPHm5/gt3N+1mHt6I46KqVzlpRynAr2itI9bV25k9ULjgR7AL83wK71+aycu7ZD2/LW4x/gq286OZ4RMFg1by21lXUd2pbuRuXwFUVp0cbFWzCD4Us/emt9rFu0qUPbUl1WG3G7pmnUVXX/NZFjqSMCvgTmCSFWCSFmdcD1FEVpZ8mZSdic4Rlgh9tBrz6pHdqWSeeNRbeFh664ZA/pfdMavq8sqaJ0fxnHM32MYVlYXWj6mePVEQ9tp0gpDwghMoD5QogtUsovDr946CYwCyA3N7cDmqMoSltNuXQST/zw32HbNV1j+nWnx+SalmXx2eyv+PCZ+QQDBjOun8oF3zubmx64mq/fW0l9dT1G4MinjuSMJPZs2Et8Shy/v+5xtq3YidAE6Tlp3PTAtxk3fRSpvVNade3NpSXcv3A+64oKsWkalwwZxm/OnE6co2MfULe3Dp08TQjxAFArpfxLpNfV5GmK0nXtWp/PA5f/mfLCSoQQxCW5uf+1exg1ZVhMrvenW57gy7eW4qsL5eudHgeDxufx6OcPUF1aw/0X/4Htq3cjrSMxzBXvIi7RQ0VRJZbZdEptm8PG+LNG8cvZd0es5gkGgsx/4Qs+fuEz1pUVUzG5F3VjUkEIHLrOuMzevHrlNTF5r8erS0yeJoSIAzQpZc2hr88BHorlNRVFOT5SSjYt2cb2VbvI7J/OyeePR7fp5I3px/Pb/8G+bQcwDYvc4X3QtNhkhXeu38Oi178m4Duy0pi/PsCudXtY9uFqRp0+jN3f7G0S7EP7+An6g2HBHkIPdtd+toGHr3mMP8y9v8lrpmnyi/MeZuuKHfjq/DiBjJ1V1GypovTqPAKmyTfFRWwuLWF4r/SYvOeOEOuUTibwjhDi8LVekVLOjfE1FUU5RgFfgJ+f9zDbV+3EMi10u058chyPL/4dGX17IYSg79DYTUVdXFDCl28v5X//77Umwf4wb62P1QvWk5KZjMNlbyjLPExaEktGXywnGDBYu2gjpfvL6NXnSL7/6w9WsXHZNgzvkfNpAYuElSVUTcsimOlG1zR2V5Q3Cfif79nNo0sWk19VSf/kFH562ulMze1/HD+B2IppwJdS7gLGxvIaiqK0n1f+8A5bV2wncDjw+YL46wP88aZ/8OhnD8bsunu37uehqx5l37aDGAEj6n42u87ubwr48Jn5TUpEG5PRVo0/xPAb/Pf+V5l80UmccuEEhF3n90+91STYN+beUU0w041hWQxJ69Wwfd7O7dz9yUf4jFB7NxQXcfsHc3ji/IuZPiCvpbfcKdRIW0VRGnzy38+OBPtDLNNi09dbqauqIy6p/UeyBvxB7jnj11SV1rRYUWMETTZ+tYX1izah6RoIIq5Br+kCy4x+rnnPf86Xby1Ft+lc9NyNVNhM4nSBZkrMOBs1J/XCSHHgLKjFiLPh1HUm9+lLn4REfvvFZ7y5aSM1gfAbjs8w+MPiRSrgK4rS9ZlGeK09AEJgGs2vK9xWvno/n770BXP/u5DayrpWl08ebkekPD0AklCwj3IzOMxb6wPgteufpfyekcTNE/hy4jhwx3DQQDp0hN9EOHVuHj2G+047g1vmvM3awgP4zSg/J2BPZUWr3kdnUAFfUZQGZ151Kh8+HSqDbKzfiBwS0xLafL7DpZUf//tTpJSce8tZzLhhKr46Pz885ReU7CtrqMJpd60sQJR+k4y38ym8ZTCBbA/SdWSaCOnUceg2enni2F5exvqig80Ge4D0uK47n48K+IqiNLjpgW+zYu5ayg5W4Kv14fQ4sDvs/Oz5u9p8LiklD1/zOMs/Xt0Q1Let3MkXby1l6MQ8ivJLIj6Y7WgSqBuQgHdEcsTX/abBm5s2kuR0oYUKUKJy22z86ORTY9DK9qEWMVcUpYmAP8jit5exZdl2sgf1Zsb1U0lIiW/zebYs385Ppj8Y9nDVFeckOTOJwl3F7dXk4yJ1we6HT0K6mu//6kIgIeLIWwE4dB2bpiElnJaby69On0a/5Mg3kfbWJerwFUXpfhxOO9OvPZ3p1x7fCNoVc9dGrKTx1fvx1weO69ztqeSyfi0GewAzSqCPdzgYn5XN8n37qAuGPrEs3L2LFfv3Me/GW0n3dJ0Uj5o8TVGU4xbwB/ns1a948aE3WPzOMkzDZPWC9ZF3lqHFS7qK2om9Wt4pCgmkuT0s2VuAzzzy3MOSEp9h8MK6Ne3QwvajeviKohyXkn1l/OjUX1JXVY+3zofT7cQMGhgRZtc8zGrnip+2CCY7qDgvB1+OB8e+ejSvidmKHn40e6oqI273myZPrljGx9u38cC0GZye2++Yr9FeVMBXFOW4PDbracoLj8xdE21AVFdQNyyJwlnDQrkYIQj2iX26ZVdlBbM+eJfZV1zN2MzeMb9ec1TAVxSlQV11PXP//SlrP99Idl4m46aPJisvk34jchARKlRCqZt10WviuxCpCwq/O7Qh2EOjv2PMbxg8sXwpz158aYdcLxoV8BVFAaCiuIo7J95HTXltw0PVt//2EXaXnbSsFGb+4DzmPf85JXvLGDi+P9975Ab6jcxpbbl7p6sbmQy66LAg35gEdpSXdfh1j6YCvqIoVBRX8fC1j1F+MHxa4aAvSOHuYp7+yQsq0CZwAAAgAElEQVQN29Z9tpEfTv4FIA71mGn1QKfOIAEjxdlp19eEYGR6Rqdd/zAV8BWlh/vkf5/x9zufJeAPtiloh6oUZcMxmq51ydSOBOqHJVJ2Ud9O6d0DOHWdH57S+QOyVMBXlB6seG9pKNi3w4hXy7SwOWzNznbZkSQgNfD3S6Dw9uEdGuxDjwkEuhCMzcziV2dMY2jasZd/thcV8BWlB/vyzaW052D7rhLsIRR0saD4urwODfY2TWNSdh/+9K3z6JOQCMC+6ipu/+BdvizIx6nrXDliFPeeOgWXzd5h7QI18EpRejQjaCKtltMwul0PTUfcDSV9Wdhh1xLAj08+lZcv/3ZDsK/y+bj0tZf5dPcufIZBld/PS+vX8p333umwdh2meviK0oNNvvgkXnjwdThqkJRu15l+7ens3lCA3WHngu/OIH/zXt7/13z8Xn+XfkB7NFtFx03jIIEX169lX00128pKGZ3ZmwS7g/pAsMkcPH7TZG3hQTaXFDO8Ax/mqoCvKD1Yv+E5XHnvxbz11/cJHsrj2512rrj3Ym59KHzB7tsevo7LUm7B7+28uXAkgK5RPzIdrS6Ia3cFwop+B6obkdJhbQMorq/jzU0bMKVkQ3ERUoIRYdlFAWwtK1UBX1GUjnPrQ9cw9bJT+Oy1rwCY9u3TGDwh8opNdoedxF4JlOxtXU25ZdOon5CFd2gver24jvbIpEubRtm1ozGTXADob23EVlKPOFwhJEBYh0sxHdRO7vhFxw9PtBY8lC6LVLXqNQyK62o7tF0q4CuKwqDxAxg0fkDD9wHDwJLgsoeHiKt+cgnP/fxlAi308iXgHdqL2pNzwK5juXR0X/OLhxxm2TRqT+uLd3gGCHBtLyPhqwJE0KRmWn/MZDfYQs8Uyq8ejf1gDbbiOqx4B/7cJOyFtdgLyim5OrfTSjEbi/T5QwKPL1vCmMwsJuf07ZB2qICvKEqD0uo6fv36PJZsLUAiGZObxUPXnEP/9CNpkUvvOp+SvaW88Zf3mz2XAFy7yqk5eyAARloc+v6WZ8mUQPmVIzHSPWALrT7lHZmBf0AK0qEj7RpojR4gC0EwO5FgdmLDpmBuMv68JNC69sMGn2Hwt2VfMznn6g65Xvd87K4oSrszLYubnniNJVvzMSwL05KszT/ADX9/lVrfkQnRhBDM+tNNnHPLtBbPWXdyzpGvTwlNw2ABpsce+locqpdvdEwgJxEz7UiwB0DXsOIdSKetabBvhjDoFg+Xd1d03Bq4qoevKAoAX2/Np6y2HqPRA1ApQ+mdD1dt4eopYwHYVVRGaU09tz12M/u3F7J5xXaCukDzGqFctSaoPbkP9WOzkG5bQ0ol0C+Zqmn9EZrAO6Y3Wn0Qx94qpF1HL68nfuk+hGFhpMchtQhpmGNJzViA3uJenWp4esc9Y1ABX1EUAApKKzEjTI3gDRjsKi6ntKaO7z/zDruKyrHpGpZl8d3/dyG7l2+ibHshybPXgWFRef5g/ANSwB4eaX3js0N3ESGw4hz4hh0KdgNTCWYl4FlXiGXXifh099BxEUV5Ta8HM44uG+ncNht3T57SYdfroj8GRVE62tDsdHRNA5o+WHU77Izqm8l1j8/mYGUNAEEztM/TC5ahC4G/l5uqGXnErdiPPy+14YFqRFGCdjAniaqcpDYfF+01gcBZCUG/JNiLLpPATvfEUe33MyI9nV+cfmaHzpGvAr6iKACclNeHgb3T2HqghIARCui6ppES58YwrYZg35hhWhyeTME3IgPf4LTIvfNOIhDYvWD6JZaTI0FfErN2prhcVPh8EV9z6Dp3nTyZG8eMi83FW9BF7nmKonQ2IQTPff9KrjltLMkeF/FOO6P6ZpDodvLIu59HP67xN3YdutgUDAKBq1jgKBdoXtDqQfMS/rS41edrXp0/ermqYVpURbkZdISu9S+jKEqn8jjt/HTmmXzx0PeZOLAvWw+WsuVACfWB6LNp6q2smulMAoG9TuAu1nCVCLQgaHXHdq7m3u+M/nmYEUbVHua06Uzpm3tsF24HXf9fSlGUDre+oJBlO/bia8Xsl3+/7RJS490d0Kr2Ecrta7jLNGzltLmnb0aZbC4zLo4nL7yE5oaWTes3gHG9s9rS3HalAr6iKGFW7dzXkMePRtcEP5s5janDB/DmvTfg6GKpnNZw1mo4igmVb8pGf0dxeJ77SGoDATaXFDd7vb+df1HU4zuCemirKEqYtAQPTptOfaBpb9amaeSkJYWqdqaOZ3RuqMIkPTGeh645l1/NnovZzERmXZHdp2HbJ7HsIIVEC4IvC2SEqeolEGezURsMT3FJKfl0966o19EI/fwas6RkcUE+64sK6ZOQyHmDBuO2x26OfBXwFUUJ860xg/nju4vCtjvsOi/96BqSPK6Gbb6gwStfruWjNZtJT4ynpLq22wV9gUAPhr6SSGzVEEw76j0cKvUfktaL1YUHw84hEYzrHb3EckBKapPv64NBrn3rNXZWlOMLBnHb7fzuy89546pryDtq3/bS/T6DKYoScx6ng+fuuIKs5ATcDjtuh52MxDie/t7lTYK9YVrc8uTr/HPeErYeKKWwsqbbBfujCQT2WrDVhP6Iw515Ca4KjZmDhuM+aqUqAaTHeTirfx6jMzIjnvdPZ5/b5Pt/rljKtrJS6oNBLKAuGKTS5+X/Pvmo/d/UIaqHryhKRCNyMvnk/u+wo7AMS0oG9+6FdtSUB59v3MnuonL8wfCHuy67DV+E7Z1F10SbbkaO8kPvVUAwHox4iVYjefnj1Vx88lDmbNuCJkAXGg6bzrMXXYYQgteuvJqfzJvL3J3bsaQkIy6OP599HuOzspuc/50tm/GbTZ+TSGBLaQnl3npS3Z7jfcthYh7whRDnAX8jNKPFc1LKR2J9TUVR2ocQgsFZ0RffXr5jb8SSTYdNY9LAHL7csieGrWubtgR70bjaXoK9RmKvFSAFlXVeLskdxqyJk1ixfx9pHg9n9BuAQw9NJeGy2XnigouRUmJKGZa3b9O121lMUzpCCB14EjgfGAFcK4QYEctrKorScTKS4nHYwufMses6+aWVbTpXFxqgG0YgEDLUQtOS7C+vIi8llatHjeHsvEENwb7JMUI0G+wvHTYc51HHCWBIWlpMevcQ+xz+ycAOKeUuKWUAeBWYGeNrKorSQWZOGhE2EEkADpsNp63tCYRIk2S2B4+jfZMZI/tGztO3xQ8mTWZwWi/i7HYE4LHbSXa5efy8C4+/gVHEOqXTB9jb6Pt9wCkxvqaiKB0kPTGeJ78zk/te+oh6f2ih7t7JCTx+y8V8vHYrOwpLWz2mSRKa9DIaXRNYlmzzbAj905O5Zso4/vbRYrytGEgWaTnCw5x2GxMG9GFEzvEHfI/dzrtXX8+X+XtYXxwqyzx/0JBuXZYZcZLTJjsIMQuYBZCb23lDjhVFOTaTBvXl01/PYmdRGXabTr9eyQghuPGMCcxZsZGSqrqGNV6PlV0X3HbWyZw3fihLtxXw2IdftjgwDEJllE/PuoK0BA9vLdvA3tLKhgfJmgiFdkuGApVd17j9nMn0TUvm/702D8uyMEwLXdPQNEFqvJsrJ4/mtrMmHdd7aUwTgjP7D+DM/gNa3rkdCHmc/xDNnlyIU4EHpJTnHvr+FwBSyj9E2n/ixIly5cqVMWuPoigdq6rex+zFa1m0aRcZSfGcPKgvf35vUbMPUCP1sG+aOoGfzDyjYZTq1gMl3PSP1/AFDaxmYtjMiSP43bWhckhvIMgbS9Yzb912EtxOrj5tDKYlmb9uOx6XnStOGcXIvqE6+n1lVXywejM1Xj/TRuQxcWBOp46QbYkQYpWUcmKL+8U44NuAbcAMYD+wArhOSrkx0v4q4CvKia28tp5v/fa5ZnvnY/tl0T89hfUFBymuqsUbMHA7bNxwxgTuOGdywzOD3cXlPLtgORv2FlJaU0+N19/kPB6HnXn/77tNxg2cqFob8GOa0pFSGkKIu4BPCJVl/idasFcU5cSXGu/hjOED+HLzbvwRgr7LbuPuC0/HtCw+WbetIf1S5w/y/OerCARN7rl4KgADMlL5/XXnAaFpDZ5dsJzZX63FHzSZOrw/P7t0Wo8I9m0R0x5+W6kevqKc+NbnH+SXs+eyt7QKiUTKUI7e43Ty80uncdFJw7npiddYs/tA2LEuu40vf3sHLvvx9VUtS7J5fzFPz1/GjsJShmSnc/vZJ+MLGuwuriAvM5Wx/bK6dBqnsS7Rw1cURWls9ldr+ev7X+IPGk3y9P3SU/n7rZfQt1cyEFpfNxIhoLymnuzUxDZf27Ikz366jBcWraba62/yrGBfeRULN+zAruvomgAEA3un8uztVxDvcrb5Wl2VmktHUZQOUVnn5dH3vsB3VLAH2FlUzu3PvI116GHu0Oz0iOfQhCA9Me6Yrv/oB1/w3KcrqD6U62/cBilDfwKGiTdg4A0E2bq/hEff//KYrtVVqYCvKEqHWLq9AFuUOfOllJTV1rNq934A7jrvtLC0jctu43tnn4I9wsjeltT7A7z29fo2ze0TNC0+XL25zdfqylTAVxSlQ4QCePM58ZKqWgBG5/bmmdsvZ3Rub5x2G9kpifz80rO47awW09QRFVXVHkrVtE3QjL5cYXekcviKonSIU4f0o7lnoIZpMabfkeX/xg/owys/vrZdrp2ZlNCQLmotTQhOHXJiDQZVPXxFUTqE027jie/MxOOwh/Xz3Q4bF500nJy0pJhc2+O0c/3U8RGre9wOGw6bjvPQHwh9GknyuPjlZdNj0p7OosoyFUXpUN5AkAXrtzNv3TZ2FJWT4HJy7enjmDlxRNh8++1JSskLX6zmvwtXUlnvZUhWOj88/zR6JyeQlZKAJSVzVmxi64EShmVnMHPSCBLc3aNCp0uMtG0rFfAVRVHarrUBX6V0FEVReggV8BVFUXoIFfAVRVF6CBXwFUVReggV8BVFUXoIFfAVRVF6CBXwFUVReggV8BVFUXoIFfAVRVF6CDV5WjdlWBZv56/h7fw1gOCK/uO5LHccNk3dwxVFiUwF/G5ISskPlr7KitI9eM0gANuqi/j0wBb+deq13WZZNkVROpbqDnZDK8sKmgR7AK8ZZHnpHlaVFXRiyxRF6cpUwO+GVpbm428U7A/zmwYry/I7oUWKonQHKuB3Q2nOOJy6PWy7U7eR6ji29T4VRTnxqYDfDZ3XZyRahDy9JgTn54zshBYpitIdqIDfDSU6XDw35UbSXfF4dAce3UGGK4HnptxIgt3V2c1TFKWLUlU63dS41Bw+P+8etlYVATA0KTNir789bK8u5uWdyzngreK09Dyu7D+BeHv3WAlIUZQjVMDvBrZWFfFuwTp8ZpCzs4dxWnoeQgg0IRie3Dum1/7s4DbuWfEmAdPAQrKiNJ8Xdy7jzbNmkeL0xPTaiqK0LxXwu7gXdizjsY0LCFgmFpI5Bes4q/cQ/jLpipjX25vS4ler5+BrVBHkM4OU+Gr5z/avuXfU2TG9vqIo7Uvl8LuwUl8tf924AJ8V6l1DqN7+s8JtfF2yq1XnCFgmcwrW8X/L3+T36z5mR3VJq6+/p6YsYvlnUJrMP7C51edRFKVrUD38Luyr4p3oIvye7DWDfLJvE1MyBjZ7vM8Mcv2i/7K7thSvGURH8Eb+ah6eMJMLcka1eP14uxMzyiL3ierhsKJ0O6qH34U5dRt+y4j4mi9Cz/tob+xZza7akoYRuSYSn2nw6zXv4zcjn7exTHciI5Kz0GmaOnLrdm4cdEor3oGiKF2JCvjtQErJytJ8frPmA36z5gOWl+5BRukZt8WwxN6Y0or4WlXQ2+Lxc/dtxBcxsAs2VBxoVRseP+UqBiT0wqPbibc5cWg6V/WfwEU5o1t1vKIoXYdK6bSDP34zj9f3rGrodb+/dz1X9BvPr8aef1znLQ/U4dbseK3w3nyJr7bF4+OilE6alonbFj5SN5IMVwLvzbiDDZUHKPHVMio5mwx3QquOVRSla1E9/OO0rbqYV/esxGsGkYAklGN/M381W6oKj+vcA+J7YRL+ScEmNMak9Gnx+Jl9x0bc7rcMcj0prW6HEILRKX2YnjVUBXtF6cZUD/84LSrchmmFp10CpsGz275iX10FlQEvZ2YOYtbQqfRyxbf63ClOD1f0G8c7h2rwD3PqNr47ZEqLx1cHvWiIhgqfxsfPO7iZy/uNb3VbFEXp/lTAPwYHCsp49tG5rF2+C5yChJNMKk4DtMYPNwXz928mKE0AXt29ko/3b+K9GXc0DFiSUlJvBHDq9qgLl9w/9gJy4lJ4YcdSqoM+JqTlct/oc8iJa7mH/vKuFWHBHiBompS2IiWkKMqJJWYBXwjxAPA94HDh9y+llB/F6nodpaykhh9d9y/qav1IS0IdxH8OWrGg7PIjP04LiXUo2AMEpUV10MvLu5Zz1/BpfF64jd+u+4gibw02oXFm78H8euwFpB31CUATgtsGn8Ztg0+L2iYpJV8U7WD27hXUBf1ckDOKUcnZFNSVR9xf1zTGp+Ue3w9CUZRuJ9Y9/MeklH+J8TWO2+Z1e5n79grq6wJMPWcUU2aMQNcj97jnvLIEvzcYCvaHaEGI2ygJnGvDTBT4D01DcHTfOmCZvLlnDd9U7GdJ8e6G3r8pLeYd2MyCA1u4adApXN1/IktKdhGwTKb1HkK/+FQq/PX8ecN85h/YHJoVs89Irup/Erom+HDvBl7etbyh/HJD5UFSHR60KIVCHpsDu9CQUqrVsRSlBxHtUT4Y8cShHn5tWwL+xIkT5cqVK2PSnmje+O+XvPSvhQT8BlJKXG4HI8bl8tt/3hQx6P/01uf4ZtWe8BMJsAbZ0WYmcjCpnkCU+nkBEZIskfezCQ1NaFw94CQWHtxKobcao1GZpgCcmh1fhCoeh6YjEBHr+G1oOHQbqU4Pz025kX7xqU1eD5gGy0v3UOKrZX3FPpaX5tPblch3hkzhtIy8VrReUZSOJIRYJaWc2NJ+se7h3yWEuAlYCdwrpayI8fVa7UBBGY8/+A7rV+xpst3nDbBpbQHLFm3htOkjwo7rNyiTTWsLMM2jHtRKkPuDVKyvwFMn0fI0fHniqLx+64L94f2C0gJp8cLOZVH3iRTsIfRpIhoDC8MM4K0PMOvrl5j7rR829PRXlObzg6WzMS1JvRloOGZXTSlryvdy36hzuCavxd8rRVG6oOMqyxRCLBBCbIjwZybwL2AgMA44CDwa5RyzhBArhRArS0paP8/L8aiurOfH1z8VFuwP83kDLJ6/MeJrl91wKnaHHvE1zQtJCy2SvpKkv2aS+bwJRmw+QbUHSWi+nk2VBwGoC/qZ9dVL1AT9TYL9YV4zyJ83zm/VKF1FUbqe4wr4UsqzpZSjIvyZI6UsklKaUkoLeBY4Oco5npFSTpRSTkxPTz+e5rTa3LdW4PdFn5pA0wRxCZHniunTrxcPP3ULuXnpYflvIUE7FAu1ADj2S+JXRx4p21VoQqM66MOSku9//Qq+KKmowwSwp7aszdepDHh5ffcq/r3tKzZXHt/4BEVRjk0sq3SypJQHD317GbAhVtdqq+2bDhDwRw9sdoeN8y4PT1sEAgbrl+/CMCwef/n7zH9vDf95bC5+X+RzaUFIXGxhJgi8gwFdQBd7SGpIkzGpOby8azlryve1uH/QMts8D/7Xxbu4a+mrDcc/sWURF/QZye8mXKIeGitKB4plDv9PQohxhDIHe4DbY3itNhk4PJtlX2yNGPRtNo3rbp/Gzi0H2LX1IKecOYzEZA/rV+7mwR+/3FCdY5oWd/7iInSbDkS/ediqoNfbJpYTim7SMdLpMkHfoencPXwGy0v28Ny2xZg0/2lEQ9DHk4JDa/2vTcA0+PGy1xsqiAAM0+Lj/RuZkT2M6VlDj7n9iqK0TcyqdI5FR1XpVFXUceuFf6W+1h/2msNpwzBM7HYbQggsy+LOX17M03/8EG99IGxfKSXBQPQHpIdJEbrzFd+g4c8TEGWgVUfREJyXPYK5BzYdmhKidb8HTk3Hodl48YxbGZqU2eL+Xxfv4sfLXqfWCP9Zn501jH9MvrqtTVcU5SitrdLpkXPpJKXEMeOicRE72gG/gWVK/L4gPm+AgN/gid/OCa/KObRvpGAfKXQKCZqEzBctch8y6fu7IOkvGdiLOueGOzQxg48ObDw0XqD1bfBbJjWGn5+vegcIDfpaUZrPM1u/5J38tdQZTW+KzZ3b6kKdDUXpCXrs1Ap+X5DWxhtLgtFMzv9ozSVsBIAEEQT3dol7p0HdSCg/34aM67hUz+bqouM6fmdNKcXeGn6x6l3WlO8lYBo4dRuPfPMJ/zv95oa1diem9YsY9N26nUv7RZ7cTVGU2OiRPXyA8ZMH4nI7WrWvFaF33x4EICyI+wZy/mrg3thyaqjLkJJ3C9axunwvXjOIiaTeDFId9HH38tcb1gNw6jYenXQlLt2OU7OhEQr2Z/UewoysYZ37HhSlh+mROXyAYNDgx9c9xb49pc1W7HQkCVSfDJXn28IGbHUluhCMT82lJuhja4RPCi7dzjvTb6d/fFrDthJfLR/v20CN4WdKxkDGpvRRFTqK0k5UDr8FdruNvz4/i+tmTaNvXnqXKJwJ9fi7QEOaEWdzkOFK5E8TL4uanzelFZYuS3fFc9Ogyfxg2JmMS81RwV5ROsEJEfDLS2tYu2wnhfvCZ4esKKtlwXtr+Pzj9dTXNa0UcXkcXPO9aTz77o+556HLu0TQ92yQ2Cq6zqeuxnQEvxl7IfPO+RFZniROzxwUcb+gZZKkFjlXlC6nWz+0NU2LJ373HgveX4vDoRMMmoyZOID7H70Wl8fBe7OX8tyjc9FtofuaJSX3/+VaJk0dEnaub82cwKa1oVkzOzPLpfsgeYFF6bcP3X067C4kcWsGP8ldzT5/Au+W5FFhNA3autAo8tU0zN1vi9JfcGo6Cwu3cmX/CTFvtaIordete/jvvvQ1Cz9cRzBgUFfrJ+A3WL9iN0/8/n327Cjimb98TCBg4K0PTRTm9wb53b2zqavxRTzfDXdOPzSQqnPVjdZCgV4IRseX8uzwT/ly4pvMHjWX05PDFx8XWNDCoKnGxaIpNh/xmr/Ja9mOOl4cNY9rsnZwV9/1zB3/HsPjQp+Y3JrBzVmb+PeIj5hsexjp/wog4uIqofaIJrN6KorSNXTrHv67rywJmxMnEDBYNHc9Pm8AIxhe9WIYJk/+/n2+c895pKU3XZ/V6bThctupjXBcR0pYYeIdoTEuvoTnRnyKUzPRBKTa/Tw+ZBHzy3IZ5KnCL3VeLwylVfq7a/jH3rFIBB4tgM+yoYtQQE6z+/jPiAXYhIXf0slx1SGBXfWJ3Lt9KtNT9vLDvutx6qEg7dJNwOSRQV9z9Tfn8trouWQ763DrJlCKrJiFdF/Npb1HMyffoiTQtN9gAWdmDu64H5iiKK3Srat0Lj/ttxFHy2q6wOGw4fNGniBN1wW6Tednj1zFlBkjG7bffcPTbNuwD8vq3J+JkQj777Xz4shPmJBYGva6lEcyPT5TYBMS/dD3FqGPbeVBB2trMki2+RmfWNJQ9NP4WIBaw47X0kl3hH/qkZKGhdn1iJmlOILSzzP7RvOvfSPQENh1nR8NP4tbm1mhS1GU9tVV5sOPqbGT8lj6+RaOvmml906ivLgm6nGmKTFNgz/98k1e+2wwLo+DXVsPsntbYacHe5DYDYmr1GBoXGXEPRoHbJfetL2HE1JpjgAz0sInQzv6kYBdszCjDBUTovlBZFCHXcD3+24mK3Eye40xXNR3NIMTM5o9SlGUztGtc/jfvedcPHEObPZQmNN0DafLzvd/dkHYTSASXdNYs2wnAAf3VTQ83O1cAlkvyHzWYmdRYsyv5tRMXMLEPI77nI6Py9PX838jZ6hgryhdWLfu4ffp14un3v4R7770NZvWFZCbl8G5l03gn3/4sE099e2bDrD0s8346sMX/egcArtpsnhuLiNvLY+STmk/Tr0dnllYXWYxM0VRoujWAR9C6Zvv/eT8hu9/fdcL7Nle1KqAb1mS3dsKeeRnrzesadtVBIM6RbvjYx7s24cTXN/q7EYoitKCrpDDaDf1dX5WL9mJYbTcY9V0wZ2/uJDZzy46NJFa02AfbRnD2Ai/0djtJoMGdYdesx30DITnps5uiKIoLTihAn7AF2zhIWOIw2njH7PvwDQlWpQudGvmuD8+kr65Vdz38yXkDazE4Tgyn48QFnaHyYUX7YxxG46TyIS4/0OkzUFoCS3vryhKp+r2KZ3GklLj6NU7iYN7m06xIAS4PE5sNo2xk/K47e5zyM5NY8+OYrROmE/Bbjf43R++YNDgCtxuk1NOPcD//jOG+Z/0JxDQGTW6hDvvWkNqWuQBYrGlgXCBDALR1/1Fy0PLmBv1ZSkthDih+hOK0u116zr8SDas3sP9dzyPYVgYQROn04Yn3sUTr91JWkbTqpe6Gh/Xzfhjswuax8Kw4SX84U+LcDrDR6MeXSffORxgGw7u66DmZ5F30XLRMhY02SSlhax7DuqeBVkFej9Ewi8RrrM6oM2K0nP12NkyR03oz1Nv/ZCZ103mlDOGcsOd03lmzo/Dgj1AXIKL+x+9FqfbjsPZcR92DhxIiBjsoSsEe4AAmNtBTyDqh0BrPzK4uckmWfsPqH0yFOwBzHxk5Y+R/mWxba6iKK1ywvXwj0V9nZ/F8zfyt4fexTRiPwdMYqKPV998L+bXOT42RMK9yOAO8L0V4XUBjqloqc8BIGUAWTwJpDd8V/tJaGmzY9tcRenBemwP/1h44pycc+kEbr7r7A6Zpz01zYvX27QKqAvdd0OEE7TeEPedKDtICK4/8q1VHv1NmLvbvXmKorSdCviNfPu2M7j7gZnYHXootRIh9gtNHHfJ5iUzt1FQkIhpgmWF/nSNVE5jTnCdDfVvRN9FS236tYjyc7GpidQUpSs4oap02jdetKcAAAxYSURBVMO5l03k7EsmsG75LkqLqsjoncyiT75h9/ZC8oZmkZaewBv//ZIgx1626fU6GDKkogsG+UP0/oiUZ0Aa4H0x+n7O6Q1fCuFAxs2C2qeAxmkdFyL+7pg1VVGU1lMBPwJd15hw6pHVnMZNHkhdrY+1y3ZRUVqDeRyLmtvsJueev7uLBnsbuK9CS3oQAFn/ZjP7agj3BU22iLjvI0UC1D0NVhnYBiMSfo5wnBTDNiuK0loq4LfCwg/X8rcH56Drh1bOMiW6TWvzA14hJAMHVqDr/7+9Mw+Sqrri8Pfr6WUWgVFAEUUdKkpQgxvBBU25RRGNoBElFZdSq1wSS6lK3EqjxiWRsjQLiTGkkqhR4xJFKcW4WymNGBABwY1BRRFFBAWBYWaYOfnjvdGentczzTDdPT19vqpX8/re++799Xl3Tr++9/Y9hQoOIqjYBVpWAm1r+qtA1WAb0tISUDEMav9ALPHNB521fARkCfAe2w7ie7VLkoRqToea03v4fTiO0xOUtcP/9OMvWLniC3b71g4M2LYmsswny9fw2+sepamxveOLJyqIJ2Jsbs7ReQt+NfVF6urWZl2S2aPED0QD70KKYY0vYRvvhdavoPJ4qDoJNc/BNj4I1oiqfgCVxyG17w5K7IWpGmxjRuUx6He1ByJ3nBKjLB1+w8ZGbvrZ/Syc+z6JRAVNTS2MP2U05182nlis/Tz284/PpzVi7+B4ooKzL/4+816pZ+7LS7BWw8w6LFSprEpw8pljGTlqF0bt8RyyAuzIqQEw4Bpo/QSLDUWpQ1Hq0PZlUoeh1GGd15M6EmJDoeVDoE13MhiqqRyXD+WO4+SRslyl87vrH2PBnPdpagxi4TY3bebfj7zGEw/N6VB24/pGWlo6TtA2NjTx0jOLufCKE5gx+xouu3kSVdWpDuU2NTSzbOlnjD6wAdm6vLyf9iSCY/XJ2Kpx2OfHYs1vdqsmKY4G3g/Vp0FsIMQGQfUZaLt7fNsExylByu6/dlNDEy8/s5jmpvZDNI2bmnnk7pc7lD/w8G+Tqkx2SDeDxfOXceEp01jx4Wr6D6iObE8S1TUp7MtLiN6bpieHRRLAZrDVQGNwtHyArTkDa13frRoV60+s/y+Ibf8Kse3/S6z/5SgWPfzlOE7vpuwcfuOm5ojNiAPWr+v4K9HvHLAbY763B5VVHZ1+a4vRsKGJ6bfMYtToOioSHdehJ1Nxjpu4UycBQnrI4WsnSI4FKumw3bJthk1P9Ew7juOULGXn8PvXVrPdoI5b+cZiYt8xwzukS+KKqady6a9+mLXORfOWEU9UcOPtZ9JvQBVVNSmqqpMkknFOv/BIRu4zJLug2BACJ912K5LB0Alb8OOuxMHEdngBJUfzzVh7Og1Yy8rc63Mcp09SdpO2krjk2glcP+U+mps209pqxBMVpCoTnD3lmMhrYrEYBx8xkmQq3mG1DkDNNpUAjNh7Z+57/nJen72Uhg1N7PPdOmoHbhMEV6kYHE5+plMJNeei5H7Yhr9Dy8eQPATVnI6tvRoanyMqOAqkCIZsqiBWg2p/HSQn9gm2RMhcVaNqlNx3S8zkOE4fpOwcPsABh+zOb+45n4fvfInlyz5n7/125aQzxjJoh+xBw2OxGMdM3J+nH53XzumnKhNM+PFBX79OJOKMOWxEu2slQe00bM0ZBGPsTaAEJEaj6slICVR7a/sG+1+NrX4dWtcTOHcBFdD/ZkQTtvltFB8BlcejWDh/kBwD8b3DPW7a1thXBlsbJDNW6TiOU3b4bplbQFNjMzdf/iBzX17y9XLOI8aP4pJrJ379o6zOsNaN0PgMtK6CxP6Q2K/TteytzUtg3Y3hVsV10P9qYomRnbdhTdiGO6HhEcCgaiKqORupcgvfreM4pUKuu2VulcOXNAm4DhgJjDGzuWl5VwLnAi3AxWb2VFf19XaH38aqT79kxUdrGFY3OHI+oCew5nexNacF3wZoBhKgBNruPpTYMy9tOo5TmuTq8Ld2SGcRcDLw54zG9wQmA3sBQ4FnJe1hZvkOFFsQBg+pZfCQ2ry2YeuuD7c/aKMZrBlb90s08IG8tu04Tt9kq1bpmNlbZvZORNYE4H4zazSz94F6YMzWtFV2NM/Lkj6f3jQM5zhO6ZCvZZk7AR+lvV4epjm5oqos6ZW+h43jON2iS4cv6VlJiyKOCZ1dFpEW+Vgq6TxJcyXNXbVqVa66+z5VpxGsz08nBVWTiqHGcZw+QJdj+GZ2dDfqXQ4MS3u9M7AiS/3TgekQTNp2o60+ifpNCbYnbnwRlAwmb1NjUb9Liy3NcZwSJV/r8GcC90m6jWDSdnfgf3lqq08iJdG207DNH0HLe1BRh+K7FFuW4zglzFY5fEknAdOAwcATkuab2bFmtljSg8CbBBE0ftpXVugUGsWHQXxY1wUdx3G6YKscvpnNAGZkybsJuGlr6nccx3F6jrLbPM1xHKdccYfvOI5TJrjDdxzHKRPc4TuO45QJvWq3TEmrgGXduHQQ8HkPy8knrje/lJpeKD3Nrje/bKneXc1scFeFepXD7y6S5uayU1xvwfXml1LTC6Wn2fXml3zp9SEdx3GcMsEdvuM4TpnQVxz+9GIL2EJcb34pNb1Qeppdb37Ji94+MYbvOI7jdE1fecJ3HMdxuqBkHL6kSZIWS2qVNDoj70pJ9ZLekXRsluvrJL0qaYmkByQlC6Mcwvbmh8cHkuZnKfeBpDfCckUL7ivpOkkfp2ken6XcuNDm9ZKuKLTONB23SHpb0kJJMyRFxp8stn27spekVNhX6sO+uluhNWboGSbpBUlvhf97l0SUOVzS2rS+ck0xtKbp6fQeK+D3oY0XStq/GDpDLSPS7DZf0jpJUzLK9Kx9zawkDoJA6SOAF4HRael7AguAFFAHLAUqIq5/EJgcnt8BXFik93ErcE2WvA+AQb3A1tcBP++iTEVo6+FAMrwHexZJ7zFAPDyfCkztbfbNxV7AT4A7wvPJwANF7gc7AvuH5/2AdyM0Hw48XkydW3KPgfHAkwRBmg4CXi225rT+8SnBevq82bdknvBtK+LnKogJeCTwrzDpLmBiPvVGEeo4FfhnodvOA2OAejN7z8yagPsJ7kXBMbOnzWxz+HI2QcCd3kYu9ppA0Dch6KtHqYjxLM3sEzObF55/BbxF6YcqnQDcbQGzgVpJOxZbFHAUsNTMuvPD05wpGYffCbnEzx0IfJnmFIoVY/cwYKWZLcmSb8DTkl6TdF4BdUVxUfiV92+Sto3I761xi88heIKLopj2zcVeX5cJ++pagr5bdMLhpf2AVyOyD5a0QNKTkvYqqLCOdHWPe2u/nUz2B8Ees2++Il51C0nPAkMisq4ys8eyXRaRlrn0KOcYu90lR+0/ovOn+7FmtkLS9sAzkt42s//0pM42OtML/Am4gcBGNxAMQ52TWUXEtXlb8pWLfSVdRRBw594s1RTMvhH0in7aHSRtAzwMTDGzdRnZ8wiGIdaHcz2PEkS4KxZd3eNeZ+NwPvFE4MqI7B61b69y+Ja/+LmfE3x1i4dPTllj7HaXrrRLigMnAwd0UseK8O9nkmYQDAPkxSHlamtJfwEej8jKOW5xT5CDfc8CTgCOsnDwM6KOgtk3glzs1VZmedhfBgBrCiMvGkkJAmd/r5k9kpmf/gFgZrMk3S5pkJkVZd+aHO5xQfttjhwHzDOzlZkZPW3fvjCkMxOYHK5wqCMifm7oAF4ATgmTzgKyfWPIF0cDb5vZ8qhMSTWS+rWdE0xELiqgvnQt6WOaJ2XRMQfYXcHqpyTBV9KZhdCXiaRxwOXAiWa2MUuZYts3F3vNJOibEPTV57N9eBWCcP7gr8BbZnZbljJD2uYZJI0h8CmrC6eynZZc7vFM4Mxwtc5BwFoz+6TAUjPJ+s2/x+1b7NnpXA8Cx7McaARWAk+l5V1FsALiHeC4tPRZwNDwfDjBB0E98BCQKrD+O4ELMtKGArPS9C0Ij8UEQxXFsvU/gDeAhQT/IDtm6g1fjydYubG0yHrrCcZl54dH20qXXmXfKHsB1xN8UAFUhn2zPuyrw4tl01DPoQTDHQvTbDseuKCtLwMXhfZcQDBhfkgR9Ube4wy9Av4Y3oM3SFvxVyTN1QQOfEBaWt7s67+0dRzHKRP6wpCO4ziOkwPu8B3HccoEd/iO4zhlgjt8x3GcMsEdvuM4TpngDt9xHKdMcIfvOI5TJrjDdxzHKRP+D+ReS2t0eo0iAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Intertia for k=9 computed with Within Class Variance:1320.1392855128581\n"
     ]
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "dico = cluster_and_plot(dataset=blobs, K_max=10, loss_function=loss_function_naive)\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Maintenant, on essaye de changer la loost function. En effet, notre algorithme favorise toujours le nombre de centre le plus grand possible. On choisi donc une fonction de perte (fonction que l'on veut minimiser, qui représente en quelque sorte une quantité d'erreur)."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 57,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Intertia for k=1 computed with Within Class Variance:101658.30932717779\n"
     ]
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Intertia for k=2 computed with Within Class Variance:30109.86181430989\n"
     ]
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Intertia for k=3 computed with Within Class Variance:5925.388508444435\n"
     ]
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Intertia for k=4 computed with Within Class Variance:6589.622543476607\n"
     ]
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Intertia for k=5 computed with Within Class Variance:7263.020927317581\n"
     ]
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Intertia for k=6 computed with Within Class Variance:7945.410557701893\n"
     ]
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Intertia for k=7 computed with Within Class Variance:8727.084054228786\n"
     ]
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Intertia for k=8 computed with Within Class Variance:9518.027571511757\n"
     ]
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Intertia for k=9 computed with Within Class Variance:10320.374299866808\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "{1: 101658.30932717779,\n",
       " 2: 30109.86181430989,\n",
       " 3: 5925.388508444435,\n",
       " 4: 6589.622543476607,\n",
       " 5: 7263.020927317581,\n",
       " 6: 7945.410557701893,\n",
       " 7: 8727.084054228786,\n",
       " 8: 9518.027571511757,\n",
       " 9: 10320.374299866808}"
      ]
     },
     "execution_count": 57,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "loss_function_parcimonieuse = lambda inertia,k:inertia + 1000*k\n",
    "cluster_and_plot(dataset=blobs,K_max=10, loss_function=loss_function_parcimonieuse)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "On voit maintenant que les paramètres trop grand ont une fonction de coût / loss function très haute. On atteint le minimum en 3. Cela parait logique, on a en effet 3 clusters dans le dataset."
   ]
TheophilePACE's avatar
TheophilePACE committed
799 800 801 802 803
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
TheophilePACE's avatar
TheophilePACE committed
804 805 806 807
    "Maintenant, utiliser les k-means sur les autres datasets:\n",
    "- std_blobs\n",
    "- noisy moons\n",
    "- circles"
TheophilePACE's avatar
TheophilePACE committed
808 809 810 811
   ]
  },
  {
   "cell_type": "code",
TheophilePACE's avatar
TheophilePACE committed
812
   "execution_count": 58,
TheophilePACE's avatar
TheophilePACE committed
813
   "metadata": {},
TheophilePACE's avatar
TheophilePACE committed
814 815 816 817 818 819 820 821 822 823 824 825 826 827 828 829 830 831 832 833 834 835 836 837 838 839 840 841 842 843 844 845 846 847 848 849 850 851 852 853 854 855 856 857 858 859 860 861 862 863 864 865 866 867 868 869 870 871 872 873 874 875 876 877 878 879 880 881 882 883 884 885 886 887 888 889 890 891 892 893 894 895 896 897 898 899 900 901 902 903 904 905 906 907 908 909 910 911 912 913 914 915 916 917 918 919 920 921 922 923 924 925 926 927 928 929 930 931 932 933 934 935 936 937 938 939 940 941 942 943 944 945 946 947 948 949 950 951 952 953 954 955 956 957 958 959 960 961 962 963 964 965 966 967 968 969 970 971 972 973 974 975 976 977 978 979 980 981 982 983 984 985 986 987 988 989 990 991 992 993 994 995 996 997 998 999 1000 1001 1002 1003 1004 1005 1006 1007 1008 1009
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Intertia for k=1 computed with Within Class Variance:106793.93878686728\n"
     ]
    },
    {
     "data": {
      "image/png": "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