Olivetti_face_recognition.ipynb

{
 "nbformat": 4,
 "nbformat_minor": 2,
 "metadata": {
  "language_info": {
   "name": "python",
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "version": "3.7.6-final"
  },
  "orig_nbformat": 2,
  "file_extension": ".py",
  "mimetype": "text/x-python",
  "name": "python",
  "npconvert_exporter": "python",
  "pygments_lexer": "ipython3",
  "version": 3,
  "kernelspec": {
   "name": "python37664bit7bcce433135f493d8d948432b28ff3f6",
   "display_name": "Python 3.7.6 64-bit"
  }
 },
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 133,
   "metadata": {},
   "outputs": [],
   "source": [
    "import logging\n",
    "from time import time\n",
    "\n",
    "from numpy.random import RandomState\n",
    "\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "from sklearn.datasets import fetch_olivetti_faces\n",
    "from sklearn.cluster import MiniBatchKMeans\n",
    "from sklearn import decomposition\n",
    "from sklearn.preprocessing import StandardScaler\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 134,
   "metadata": {},
   "outputs": [],
   "source": [
    "n_row, n_col = 2,2\n",
    "n_components = n_row * n_col\n",
    "image_shape = (64, 64)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 135,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": "(400, 4096)"
     },
     "execution_count": 135,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "faces, _ = fetch_olivetti_faces(return_X_y=True, shuffle=True)\n",
    "n_samples, n_features = faces.shape\n",
    "n_samples,n_features"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 136,
   "metadata": {},
   "outputs": [],
   "source": [
    "def plot_gallery(title, images, n_col=n_col, n_row=n_row, cmap=plt.cm.gray):\n",
    "    plt.figure(figsize=(2. * n_col, 2.26 * n_row))\n",
    "    plt.suptitle(title, size=16)\n",
    "    for i, comp in enumerate(images):\n",
    "        plt.subplot(n_row, n_col, i + 1)\n",
    "        \n",
    "        plt.imshow(comp.reshape(image_shape), cmap=cmap,interpolation='nearest')\n",
    "        plt.xticks(())\n",
    "        plt.yticks(())\n",
    "    plt.subplots_adjust(0.01, 0.05, 0.99, 0.93, 0.04, 0.)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 137,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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      "text/plain": "<Figure size 288x325.44 with 4 Axes>"
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot_gallery(\"First centered Olivetti faces\", faces[:n_components])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 138,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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      "text/plain": "<Figure size 432x288 with 1 Axes>"
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "average_face = faces.mean(axis=0) # this is the average face\n",
    "\n",
    "# SHowing the average face\n",
    "plt.title(label=\"Average Face\")\n",
    "plt.imshow(average_face.reshape(64,64), cmap=\"gray\")\n",
    "plt.show()\n",
    "#End of showing average face\n",
    "\n",
    "faces_centered = faces - average_face"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 139,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": "400"
     },
     "execution_count": 139,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "len(faces_centered)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 140,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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klkzfrqSLPu2ms5rTc7aA0GWyn6ZykC2GtwPtbIVAOEVNhSpbqwzHqLaEuZ2rch+lGZ2/URTTZ3d6zO0b98uMre6Q5/+vkHTdx5TUPd1AXAnMOPbs2XPcwPTKQTGNG/Qbkzjbrbvvvnt+Dls0nitqAPrLp5vKCSF6+ctfLkm6+uqrJUnXX3+9JOmjH/2opMVsqGncYBuWua48P9yXv/xlSeN6z+0YagrfSuW8Mydsi12Bzv/pE+3x/Yte9KKlsadDNms7DT/+XDL8LvOqsU31dZaO0mSozZCgv/iLv5hfc+mll0qSXvayl2kKnWF1dHSsDU7KcbRKx5KmfN7MSG4YT5UxMh3JUrlZKXfTZM1n5lP36zPHdPajypSZwcFpXPA54Nxke6AK/IZBIGnTGdJdBzL7JhK+lezfv8tMrZkaxdll3ifb5xpnZVOpgHz8ztArhsb1n//85yVJ99xzz0L/CQGSxjWVoV08e+bHWQyMxBXY0jjfN91008LYvT36mDuBZDt+jHFccsklC/erUuvkeJgfFOd+TY6ZNX3w4EFJI+OqfqPJ5kH+lvycKjzI2/Jr6BNzjAGA33XF6q+55pr5Ob7mE51hdXR0rA1WZlit0IoMek7n0gxxkUZJjSRMszRS1RkRUoj9Pu2ladvN38mK+NtLU/nffu90+MvxVGwmWU2VHgQp8rWvfU3SqP9IPZVLISR99gU9BZLepWrm/M5kdxmo7eemri9zl7uE9mc35fg3m83m7bnrCfPwV3/1V5Kk888/X5L04he/eN5uXsN4maOsxsN8eT9xHbjzzjsljTot9DmsDddHcX2moGEcFQNineK2cPPNN0uSXv3qVy+Mw9cPfaDftMG6rBIHUBnoWc961kL/P/3pT0uSXv/618+vIR0QbAbdUlZhqpL+sV4zgUAVLJ6pi2BaF110kaRRH4keTJLuvfdeSTuVdFrJM6XOsDo6OtYIKzuO7t27d0k6c8yBlGBfn6EXUpsptKq2SKNEpJ1MDlYFot56662SltlXWnlcEjOeTEfSskT5uak74RqXHEgUrJzpUFglrONe1HODhSDhmS/YirQcspHWTcbsz5LnkBI3dVhuTfI5bSXoI7QrdU2S9OEPf1iS9NKXvlTSyC7oH3Pp6yx1j6wx6iXCuJzx8Yz+4A/+QNJolUprpOu90gqb94epuGWaZ37gwIH5vHhbPDPXe9GHr3zlK5LGdZ8OmH5Prucc+n3xxRdLkn7u535ufg3zg57urrvuWhhP9VwzOD+dxumHOwEzLzy71INxvAp0/sY3vjGZnqgzrI6OjrXBysHPu3btKuuwVSlHpPGtjuSqylMjHTLpPm15YCp6C9gK7aYuxvuBPgKpAItBOmC9qFLSIJFTD5bs0PvAMfoKi6qQ9d6y7HoV/kSfaDfT+rqeMHWJVfiOtMh2OAZL4H6ZXqbyx5tKj3z48OG5f5K06IeDnoN54DwYA8/K2TZ95lgm9APOtmE2nIOuJ9e0X5MWVeYl14LrvVjTMKCXvOQlksbQIO4Do5RGiyh9Yjzop6rCKrnes/+f/exn59fkDiN3IzxP31W0UujAjipLPoB18RtFf8jfPseM47TTTutFKDo6Ok4NnJSVEFQ6LN7esBakDpLNJTBSCJ8RJBn6HawaePpKo4TCOsI+nH1yeptLo8RAWiOx0DmkDkgag0jvuOMOSdINN9ywME7YU+VLhDTi7xynX59plNP3Bj2Vn8PY0gpWlR5jLkFGIKR+SlpOV8Mx5pZ+uJWH57G1tdW0En7jG9/QH//xH+sLX/iCJOk7vuM7lu554403Ltyb+affHsybPnKkLkYXNFVNmGPoLzNI3J9VJsNrVUN2Zps6SCzdsEp0sa4r4zfD/LLuuXaqsEqmTGJcf/RHfzS/hjXHuqH9TF/jY+c58F16++d4peX0NawTgsjRwfJsHVMFSqTOsDo6OtYI/YXV0dGxNli5LqFUV32FErIF4RjK1MrxD3oPhYcOvuAFL1i4H2ZeSXrXu9610B7H2IpCc93ETB84ltVDoNNQVWk0R+O4+Pu///sLY//xH/9xSYsKXowD0GeUjGyBqirO9Bva/LznPW+hr76dYW5RMjN/fE+bbirHvJ1ZH3k+9JktsDQ6VTIv6XSajpOOqS3hbDbT448/Plcu//Iv//L8GNtaTO6oEi688MKFNvyeqfzOqjnATe7MZzo8ZpbWqgJOhh9xLeuGdSyNxoGsW4CymuO4YEjjVi1rGaYLirScUyzVKqzL22+/fX5NZgLl2qxh6GuOsWX4XKpRqi0hzyHdllDJPPvZz55f86EPfWg+rp5xtKOj45TASTEs4G9CTJW8+Xkzp9nTlXVIDBS2sAEU6dmmNJrySQ+CJMEMnvXSpNG0i6ITZT6SjPt40CX9R3JddtllkkYG8IlPfELSIjNBwsIKkIwoG12awpI4l7GndHIlM/9HIhLm8fa3v31hHJ6ig1AXGARj5z4odH2OmYcMdeHcdHeQxrXwyCOPNBWn55xzjt7ylrfMDQnOaGETsMMTyXKKxIaZwCZgp4TFVMrdDDtK074r0LOOXhofqnzzaURBuc5zqNxLsjpOBqb72HnWmZU0XV/cXYV7YpzIkCvu478Ddiqcy2+J3w5rnABnaTnHPX3BqMA6dmOaO5pXgeGgM6yOjo61wcqOoxsbG2W1YN7KvDXTrJuu/dKYjA3JBHuBtVx++eWSFpkJOhf0IHzChHg7X3nllfNr/vqv/1rSss4KCYy0cAfPTPOSedo/8IEPSKr1eOhfYDNIH2ek7OM5J1PqPP/5z5e0uM//1Kc+JWlkDLAnpDfBpa7zQ1eCXoq+ITlhDR5gnqEz6ZzI86ocYre3t5s6iO3tbR06dGg+365bymo+WVkFqew6UNqBMcDc3ve+90ka1wrM2seUSSNZlzAXdwLNGgDcL1MdOcOC/aWbQbKHKkd96oVY/85Ima+sjM0nz90ZFjsZfisZtF3psLgGfO/3fq+kcWeQLiQO5p8+Mbeseb+G+1xwwQVLSQMdnWF1dHSsDU4qRTLSAyuYtFx5OVNWIKU9MDdr/KHXgZHw5kcHJI16CixvuU9GyrqUwOKH1OTNjnRA0vibnTc+0gFJBTO69tprJUmvfe1r59cgYRkj1yDF3SGPMaXuAenDpzt04mh52223SRorvqT1EyYmjRZX7gMrSifIKb1BBq0iOT1MxtlrK7Rie3tbjz322JKTr7fJnGXgMrrPKs10Jg3kefIcXM8IMhiZv1mDHpibFbBZa7A/2JrPIf3/vu/7PkmjdRuWxP18l5KsCTaZLMf7wvywXvib+3ufYHNYlXkOVf8B7N11VN5v5sYdYFkLmSCQPnGtj4v+H69yeGdYHR0da4OVGNaRI0d07733znUlXhAAf6Ws2IsEm3qL80ZGX4OUYM/r+hXOyQBX/uat7uzvePoDPisdFnoSPkmWT0I2B0wkQzcyaFYa2QljQ2ozF9TJq4pIIO3oL+0j5ZyRZlgEzwPWkWmp/f9Z49EtgT4+v+axxx6bDK8YhmHeT2dYsCHazhRGsAIv+gGzzPqEGbLj92EsMLlMI5Q7Be9DWi7RA9LXKvD7Pe95z0Ifkq25HqdKPS6Na8X1aoyZ/sNQYHAVS0n/q0ygWYVpJWNjzTFW5hNmKi2HyeV9WVc+Hvp96NChyfXTGVZHR8faYCWG9cQTT+i2226bS8gqSJK3KZI70+n62zM9edOiyBvZrYTplZt7efrmeov0VM69NagCs9GzIVkoKoCljmBdadmHiDbQq7kPGpY8zmml6K0S1tH/9HHL49I4d+hksupvJg70vqTVKAPc/bkQTXDLLbdMeypvbCzpEqXl1D+0kWXQ3OqVnuG0x7pkB+D+YrCyZNuMraoWncdgvTCfyiLHLuS9732vpHH9YPnOquc+B4nKB431DRtCT0tfs2K2tJimye+Xu5Xq+WVSyky5475byb6SYbE+sz/Sjm7a12KiM6yOjo61QX9hdXR0rA1W2hIePXpU999//9zB8yd+4ifmx6Dure0EdNm3AdBWKGTmA0pHRWmk37kNSlruBoFUyGcearZqOJJ6e7SPK8E73/lOSWNeLt8WQ5eh/2whoMuE9/i9060hqzf71iQrYmcdROapqhiUitbMseRK98wumcG3jM+3nrh77N+/v2mW3rVrl84555y5gr3KH8X2h0++Z0xuPme7k+b5dLz0LU5mim1th1zxjJtEVphO52hXPPN/TPc8+3T09Pvkus8+ucEhc5al60ZVnRvFdma15TfD/d1IwT3zN5SZeD0HG+1kcHqGPfk4UbXcf//9C+s30RlWR0fH2mAlhrW9va3Dhw/P38Ae8sAbGEnNOZhDYRn+Jq6c56TlvNHOYnjj85mBoRl64fdGCsEAaB+lrSvFeftjTkdR/MpXvlKS9PM///OStJCjPF06ULgiYVwCZwAxzCEr07grBGNs5dfOCtc+H/QtpTd/+zOAFRCCkm4Tnn8b8P+DBw8uuJQ4hmHQMAzlWqDNDLGi/1Wtupxv2khGUtXMY94zCJq58/UDmAfuy7yjPPb1AwvlO9wOGDPXOoNOlp3uGf5c2Q3g/pIMtMqCmr8n5i3Zt98nQ6TSOFSthco1xMfDHPhzcTeinl6mo6PjlMBKDOu0007T85///Pnb3PfHGZIDMsTCdSVplkcCpKT0xGgwjmQZmZO7qkqdepIM93Bph2RC34LE/KVf+iVJo/7NTdmZQA+XBwK0nd1kLm6kHnOAm4BLrpRYmUiOvvg4ksWmmwDfu96AMWeCvqxu5BKSax5++OHJyjnDMMzbYV6kkc1xLE3jzE9V2SjdOVJX4qb9dJfI2nisG2d0PCMYMn3wJJH5N6FbODrzrDLw210ZuHc6HHO/Sq+G7hBWXLEkwJiSwWRaG5/jrMnIOsn6AlX9zAwxyh2N68pYU5ubm2ViyHlfm0c6Ojo6vs2wcvDz4cOH58yksr4ApFuVVgakpM60FyllpVEapKUMIEXckY1+cr90oqz6iDS9/vrrJY0MAMc/rvHKMTCcHAd6ME8Vk7qjrJBC+I0zgLR6ZcpiJLOz3LTAps6skrrpKMl4kJy04czFdZctB8itrS099NBDetWrXiVJuuaaa+bHfvqnf1rSyHrTiZhnVaUurqyBPjZfI8lApurqgZZVkHngmX30ox+dX8NzYzz8nTsDX6c5ntQfVU7XpHlBx8pzyJqf3n6OOdv3+1QMyvuWKaClcb3QfjKsSjfN8331q1+9VOnJ0RlWR0fH2mBlK+Hjjz++JAGkZamAPgHWwpva3/iZGC0rC6deytvJ9CBITCSWS4m0ZORePUMGpNHyc+utt0qS3vSmNy30aarmXTJGLIleXANJm3oWrEnowXzsqYfKCtnMn7MFzkndTOrz3CpWSUDva6VT4T4HDhyYVy5ObG1t6Zvf/KZ+9Ed/VNIYGCyN1Y4PHjwoaWQv9CHXUTXe1MXk866QFrnKD4v/p78SesaqkjFIpkVblX4tUyLnOvXnmnpfmBbpxWFa7Az8nplaKMdZWS5BFpOhLde1cn0mPmAOONfX3Hd/93dL2km86W0lOsPq6OhYG6xchGJra6u0LKVOgDcvkoA3fSW5XEclLfvGuGTJvXPeLz3fpWWPcN78qSfxfTjMijc/idiyunLlM0K7BKQSCOsJy9CFweTSx6pCsrkcRxYV8GuycjJMNy05jiwNltEFVWqU888/fzLF7TAM83n4tV/7tfn3v/M7vyNpfI4whkwz4+vneJ7/oEpplJbjTK3irAy2ApvJ4hypn5KW0xKlVY37VNa8nL9KX5slx/DLwlrLNXiQS2OKoWRuyYT8d527H+YyWWuVjoc1x/xkaTB/LldffbWkHbZapVuej7t5pKOjo+PbDP2F1dHRsTZYaUtI8OonP/lJSXVeqdwuYq6vthypvM28OVBGV+5zbjp75lbQKWoqGXMbR1tUlvHrqfAMtSe8JxXgDrZ5uCa8/vWvlyT95V/+5dLYaTe3POmyIC3T80pJKi1uiaDhWWEaVI62qZjP9vnbn4u7Qkzm5N7YmF/nW30C6T/4wQ9KGl0eqNKCYtvrNKKYpz3+rrbGgHWSLi3MGXPsY851nhlqX/SiF0larFaECoS5SCU12/lKjDwAACAASURBVCSfw9ZzrbbguU1ni0a4HPPlzpnXXXedpDFwPzPkVi4embeL8aShw3/fGEpwpOU3mbnXKofwCy64oHxXgM6wOjo61gYrMazNzU3t379/7nToYTZpYuft6qlhpEV2wxs3FYgnEgCc1+anS8gM9aFd2oIRuYLyda97naTRzSDdNLLij7SslIUNXHHFFZIW88BzTyrhZCBvFSKS0i3Nv1lx1/uEQrU1X34N5vsMdcl587HzjM4888xSkcx1GxsbpZsB0p7gcgLHqTGIkcIDjDOQOaV+FSLUMlyArOosLdebhL3wXGHdnn+feU8GnqzPfw/pVJopcPxc/p/rhB1NxRRx+cGFBEW9V2DOazLwOg0CGUYkjU7XfNIG65UMvJdccsn8GnYjnh22QmdYHR0da4OVKz/v3r17/rZ1F3oYB2/cdHys3ACSWQHayEDL6rvMG526CWmUXKmTgSkSUuEJ9jCrZ7BstuVAgmSAMd+j65Ckd7/73ZJGlwfmKyWzOxbmfHFO6vWceWVCvJbbRGUy98BuH3PmdpfaudIrpM7E+w5e8YpXSBpZ6Re/+EVJi1IZxpNhXy3Tu98754xzGbNL+tTZ8QmDQF/loVc8R9ched+qv2FoWYmmYh2sF/RFGczNtc6ImEPWPTo3gtCroPbUn7V2Q858SRQIa4LJwazYtfjaZo737t3b6xJ2dHScGliJYRG8ij6B5GHSqGNIvUpWz/E3fjrvZaBlxWIy7KWli3GJneciWW644QZJIxN66UtfOr8GJpKMB0mCFPSUvan/SAuUp2CmHaQb987g32q+MtyGMWfYkLRsNW1Ze5IJOJKpMD638qT1scJsNtP29vbSc5eW05hwDoyK5+Csj3PRpVbVeFrIYOoco/+dzJy1wTk810rfyDPhb1gYDMhrYbKW0rEzQ3W8D1deeaWksYoTawMdsgfPf/zjH5e07LCdc5DM2ucA0AY7EQ/jgnHCtLBcwgorHWey9xY6w+ro6FgbrMywHnvssflb1YNckba82TPtBH9XfksZIpOBuQ4sb+mzktYM19VwDOvOF77wBUljUDJhN14xmTd9FrdAkqT/lDRKTaxrSBivcAsI+fnwhz+8cA3wSrggw5/SclMxiwzryHOqlCIZspHSL0N0pFGPNFX5eRgG7dmzZ6ldR8sHifXjxRZ4Ju6bJY2MK8O2vF2uTWtvFk6QxjXAfZjvLBTizCQD6mmP30kG70uLbN3nogplYe3y++LaTKXkv4NMC83YWWvVOuL61EGzFpgTfwbMSzK5nGtnpJwzleZH6gyro6NjjbCylXAYhvmbHo9ZafQrImUrUjYDmV3apa9I7vvTkuP/byXor4J5U2eFdHrhC18oabRIuYc4jAGplF7Blc4nU35MMZ/nPe95C2OnjBgpS2Cxfm1av1oFAlyfwLwg3ZJ1cI1LYsaB3w7Xpn+cW3k495FHHmkyrI2NDe3du3c+t67LyKR4yeZoM/36pGXdEv2qEvi1ynpln/28tN7RPnOIHsqT8RHgnesHFp+6V0fuODIBnjQyKFh9Mi52Ou4riVU/f6OZysefK+C71u+uKvNFexlpkil9/BppmmV1htXR0bE26C+sjo6OtcHK+bA2NzeXnBGl0RyP8g9axxYnc3NLy058WdW5yuOd28TMFAk1/dKXvjS/5gMf+ICkMQwGU/kP/MAPSBoV6L4NyCoh6VIAjXalKedCw6Hp0HbfznDPl73sZZJG5SyhKJdeeunSNRmikQrq3Lr5/5PCQ9MrZXxWzcmKL4zdt5EerjVVNWdzc7PcDqXbC1uqlrHA78+8p0KY45XSveqXtJwfX1p2is4tP+oQV5rjpMkz41wMMPwuPCMoyMymWRnK/59b5azE7DnYMoMs7dPHSgXDHKaiPB22/VmylukTfcw8Zb4NdHVH3xJ2dHScElhZ6b5r165S6YrUIdQEBR+uBDAw3PWlUUmZUgiJydu9ymaY58JikGzukIezHopuHF6RODAidy1AyhFGkM6sSEqXGki1lLhVFlTGzhjJuPixj31MkvT2t79dkvTa1752fg3K30wDks66VWUZzknDBvf3sWeW0pSymdfb2z906NBkDnWHh9Skw28VVCvVLDgD7/nk2Uw5gbaqE1dKYOaDY6xl2vIgYo6lky+MB9carwbObyhDjarKNLDcNKrgXsDzhKlLy/OSY85amRUqFub3l8Y55jeUYUq5FqXFRAedYXV0dJwSWJlhtUyRvHmzEk6yDvQj0rJ0Z8/LGxYpUrkQwF5a+gsCLb3dZGFUZkbqEd4gjfqnt73tbQvt4yIBw3LpTT8ztAH24DqOlD6EL6DTgGn5HF911VWSpIsvvnjpmI/d2VLLMXKqLl8eY97SKdfZjjPQyiGUe/gaqpxVM8liBt1WVa2r3P8tpF6uCsSWFhlD6gFhMZkOxvWN3CfdKGDsXOO61lzT6brgbWV1ZUC79NF/r8wXu5904k53Cj8n5zZdj3z+cKnIdZD6Ne976sRa6Ayro6NjbbASw9rY2NBTnvKUOTvwNyhvTaRDpoDFEdKlBG/pDEvJvbZbR5A66J+Q0uiEkgFJo+SiZhvhHUgcjuNYKo1ByYz1rW9968L3SD2XUq20tbAl102g48CJj2sz9Aim5+fgZIoTIrqTKpUuEiutm4yZOYABS8spQ5JJ8NzdUZLne/bZZzdT3BL8zPX+XNN5uCXZXV9Xhd5U1zjS8pznVpKe8WMlzZCotEp6+8mkee5ZUUYa12c+R9pwRgJT43eQ6ZYyREcaLZMcY2fBfdK52O+Z1sC0VFesOtcNbVXs8ETYsdQZVkdHxxphZYa1b9++OVNwCZkpfnnzZzhJJYU4N9/WSE63pCAVsAImo4I5VKmLufd3fdd3SRqZFlZCHw86MM6hgAQWR3RxbnFJCXLTTTdJWtRTAFhlVspmrMyJJ0bLNM0wnCzi4dcgYZm3TF2SVYy9/xkuk9W1XUJ6ut2pIgLDMJSpr2ER9AumWVXyBjlu+lNVb85rUmeVKXpch8UcZpqXZAWVdTb9DzOovkr6x9pOn8ZqTfOs0+rLuvQ+Mt+sbeaC+2WBDkfLilsxuZa/WjItZ7Ew6tNOO61bCTs6Ok4N9BdWR0fH2mDlLeEZZ5yxVKVEGukeWxyofJqwnaazxcncR9BZjnvueChomoAzB7pTVNwAyNlOlom7775b0piJ0beE9DdLurN9zJp4Plb6xrVQcN8+prPe7bffvjAe2qXvfg3VfbgPc4oi1s3ruEnkdjvNx1WYTBo90lTv8wX939zcnKT0s9lsyek3j3t/s5++Xcn84pUy38fjY2KtpZMkW3HmUhrH2yrX3nJC9fYytKtSUmM8ySwH6Xzq7dH/dB6uQpBYj5kBl3FgeElXDL93Zm3IteF9od10gaiyQUzlSFvox+TRjo6Ojm8jrOw4unfv3qUsnNJyRtFUliJNXULyXZqlU0lO3mpHShAYT+YDkkaGA/Og/4QtINFQkkuj8ps3PmZ73BpQ8rs0ynzaKEQZcxWKwhg5N0OZXNITvH3gwAFJI/NMo4EzDJ5DOowiIXH0dQnJ3KZjZgYiOzvxCsFTGUc3NjZKx1HGkMrdVIZPVcJJV4WqKlM6ogLWRtb1q+6T88PYKwaUBqTM8OprgmeeyQBgRt6nrBmZjrWV4jzb4VzC6ZgbD2tLd4Zks1V24AxkT2fdyjnUc61NsazOsDo6OtYGK+d0f/DBB8t9a5o50ySeTnAOJAnSHuc63truXJdOmbAaJDTSzqu4ZJ55+ph7dg/Mxg0A6YPkzfQ1Lo1yf0/79NWlEP1Dx4QEhlFx3PPM42RKP2FcSFvm1hkrjA2mlc6O1RxnkG/1zLwtb28q8Hl7e1uHDx8uayRmqhMwFZqTOcMz5KPKbJl6JlgNec0Zu6/tTKeUtTarFCuZhoW/Uz9YIbP1VmOnvayXmS4jFZvJ+pk8e5i7PwN2GlyTTDf1U37PXBOpq67CnzY2NrpbQ0dHx6mBlRnWI488siCNQaac4e2a+iiX/kgBpByfWUfQw19St8DbmLaykok0SgykWoa4ZBvSaIGjWjPVTtB1wICcySERs7oKLMylXTr6MXbOwYLjrI9zuA/zxCf6kIqFwBhhS5kM0KvzwDZaVXJ4hl4phXFMSchhGLS5uVkm42PdpBVvKrA5w3l4flkp2ecjnzVzlylPnClm6E2Gp6QFUBrnOUPW0vLnSIds5gJ2XFUp4pNzmce0Tvr/aT+tkYyPQHxpZOhpgU126QwrLfUZ0lQ9S3da7Tqsjo6OUwIrWwn37Nkzf8t65d9M9gYTSWbiVpFMV1Kl+OW+IK0gSMJkZZ7KJd/ot956q6Qx7KaywiCBOUZgKn9X1iQYEGPFzws9lOtsOBemgzSCkfLpfU8Wm9Vyqvp16O/SqppJ71xPlaymZe1xHYTrTE6UYTljaFVeTj1OZf3KBHet8Btvj/XCs8o2fAwwScabc8f8++4hEwTkuZV+DT1s6lozhZK3xzH0mJnGumofBs0na4+23MKeayHTcoMq7U8GsGdF9BbTnkox0xlWR0fH2mAlhjWbzfTkk08uVdqVRimUFrFMJFYl/UtrRUoflyytdBfpPQ27kUaGg9UOZpWWDn+zEwxMOmXOxWrCcdfnZXI2GBUssxoH+gmkEJIS/RpWSr8GvRb6OiRk+sZIbZ+e9ONxaUd/0xcK8H0WNZB25n/KUrhr164lz3G/R66f9Kp3SZ7FN0BaN6uCEjArmG4mzasqh9MX9IHMUzI7aZzfZEJVYZW8T+48qqIfyWJoP6MsfH3SX/pP4HWmgnJgxeZY+slVbDrnK+cndYH+/6c85SmdYXV0dJwa6C+sjo6OtcHKdQmHYSiDVqGofLJdSFpeKdDZBkCTc3uXgZ1+bZp1yY/lWUw5B0qcISxsrXxrwf8JNMbNAJoLVa4U9WzzUGrSF9+qpQNe0mjacsfUNHfzd9avc2MI9JvnAN3O/Pl+nwzAZi5ya+vbM7YZN9xww1IGWbCxsaE9e/aUSmqQW4ysaedz2MpLlaEhvv1i+5M189Jlw/tGGBbjT2do2sAFQFqeb55v5iGr+p3qjqmy9twzw6ZQG7j6hu3jnXfeKWmsbUDoGvPl+dRy+5ZqlCocjDlOJ9wqDxbgN37fffeV22XQGVZHR8fa4KQyjqa5WxqlMZIlWQASy6/huzQpTyndeeOT65zMn7yV+dsVlCjb6TeMik9CXqo3P0HPSCwkc+Wmwdjpf5qpXXmdykuUpTBTWJpLu6wilHnCK4VuSrlUUCPZ3A0knyUMI3OZewUk0uPce++9zbATKupMpRKhf9x7ytkwWUsq5tM9QFpeU4wNVljNIc8CJTVGnHTs9OdL3cEqVExafoZ+bu48qmy9md2W+YFREWbjdQk5F7cFf+ZSbRwCrSyyqUiXRibHWk43kKyk7e1/6EMfajJ0qTOsjo6ONcLKDOv000+fvwH9rZvSACnNG/+zn/2spMV6gamXSOmHVKr0Fpj9W+kvXHLhioBkySooyfSk8e2PHiqDuTNvtR9D2tE+bMHbb6U5oW+wMzc1I3mZf1w3kLawviphXev5ZN7tqi/MH+ciOXEP8XP27dvXNEsfPXpUX//61+drotKFgtSZJKOQ2sHHzE9VyZhx5vzSbrqMSCMLw5WFvsDcad/dPNBxkgKIaxk7O4RXvOIV82vQKaVrAimNnKVlH3jmhNXg2OysD7ZOX9DL8vv69Kc/LWnRiZj5golnJfGKLWX4DvMzlfaHtXDzzTeXuk3QGVZHR8faYGXH0cOHD5eVW3kr5p6a/T2SwBkJx9AhuVST6jcx0geph9TJAFRnJhluwScpYpDILiVoP4OFWxWu/T5IsgxBcOtdjpF5QSIjrb3iDtIf1sFcoEtCelfPhb5kepOqAlLOewah4yBbpQTevXt3MzTn6NGj+trXvjZngs6WUu9F2xlm4+wRZpC6qnRAdnAsnxWMiDn0oHOOZTLEZB1+P9Yl7aejJ+07m8kg4QxgntLjZSKBKYscc8COg77xt+smk71mGpsqHU8+O55ZOil737Ayf+UrXykdWOf9aR7p6Ojo+DbDyullDh06NGcfnoYiU8LyBoa98DZ1vUUm5M9r/b4ApsbbGz+UrCLt94GJICHRX3jlYj9PWvbnSgZX+ZUh1dJHC6k3Va8vLSpIHB87ko/2kG7oPpDQMFZpZHVpmcsUva5/wSeLY0jVtPa4hJyS6ODw4cO6++675/2rEvhl2pVMcVOF2SSTTd+n6hnxXaYLylAaaTkQPcNuslK2tJxILyuUp3XY24G5pU+e+yNmOFurxmdVBzQrhcM20W352LPARrKmykcsrYG5JnKXIkl/8id/IqkXoejo6DiFsBLD2tzc1P79++d6FmcMSK6saJwpT7yKcwZRZ9I23ra+p4X5pDc27cK43I+GNzznfud3fqck6YUvfKGk8U1fleFKXxW+T58rn49MdQPLqRKwYQG68cYbJY3WI+bLKwMnK6Lf9JG5geFJy35Nmco6rZ5+Tc4BOo5sw7+bSi/z2GOP6frrr5/rwJh/aTnBI88qGZa3nc819Sy05bq2DJjOVD1cAwun395OensD9x+CAWVivUyz7Hq83FlwTpX0j3ngWM5FxVTSxy9/o1W18bTkTnnq5znpjwVgs7fccsv8O9b//v37e/BzR0fHqYH+wuro6FgbnJRbAxQP5bs0Kv9aJlJoZ1XFmXOh3l65WFqkpVBhqDZ94L7UMHSHvMx1jjMo44CKuxGB7RZuBWmezvpsUp3jyPtcheag6Lz88ssljcHW1157raTFrQlbELbSGCCYr6wJ6WOG/vOZbgK+HeZZsj2F/rPVylAq79uUW8ORI0d0//3362/+5m8kSQcPHly6PkNxsmKMGyFy65BrsMrams+Cv7N9zwuf5vjMclshXT4yayhzV9X2BBkm5FvG7Hd+X1XXZn2kC1ImF3AH1Qx7ym03fay2oMwBa4754u8PfOAD83Npv2cc7ejoOGWwcnoZaZRcLoWyOg450FPp6Ap0vsv80+ks6IwhFYUcI8zgJS95iaRFlgY7yhQimXPapQRSJ83SU7XVULqm0jdzc/v1SFj+JmgVxuUslnAkxsbcZgBzVTEo052kc54rdGFwsONULtO+OwG7YrrFsDY3N3XGGWfMWas7KGaKk5SyFUtNtpvnpPGjOiefZ1Zqlsa5yTWQmVOnctSn8y1rwc/LKjytv73/mXE3c8dXSv00GtAnxuWMi36mcSIZliPZZdZI5Lm40a2VKijRGVZHR8faYGUd1tbW1lIIhLTsWJlv7SqnO29nmEHqBqoKJskieNNTBTnNvdJybmmkUOo4PHQmHf8yCR9SxFlTphtpsRlHSiPORXeFk580spB05sska85Ikx1lfTzG6Yw006UgXVsVs/2cKezZs0cXXXTRPMjWGXrqQGgvWXYl0ZONtRLHOZJdpJtKtX5AS6fl/cgq3Bl0znpyhpXtJUty5sy6TP1iVoCqGFyOPaupO1NMB+lkVlUdR/6f6zMrIf3Kr/zK/Jpf//Vfl7QT0J96OUdnWB0dHWuDlRjW448/rs985jNz605a86Tl0IpMRub7VqQPb3SkTtb8q5gcTpJIHyQLb3yX3rl3hyGkU5yzP/QrjCerCSM93Fkwq5xk7UFnU8djpCk5/RqOZdWhTJfj5+ZzSIdDvwbpyb0zODz1bt6XKQvP3r17dfDgQV1//fWSFi2gXJcVVtLRsrJM0o+cF/rvEjvDdzJYvtI3ZljT8fQs3m7+HlpJKr3fqSfKFDveh+xT6jUr613q4pKJep99/Unjmk69oa/tXAucw++YZI8vfvGL59f86q/+qiTpN37jN8pUR6AzrI6OjrXBSgzrySef1J133jkPF3HWkQGygLcrEqsKkswgT978SH0Pj8nA1kz+x/1c75B9ymq8LukBwceZZgbpAZvxa2GG+C9huaQtr6jL9akrS6lX9S2tkO7LI9V+a6nTYE5gvNV8Ia0zfXAl8Y8XtEofzjvvvPl1hCVJ0nd913ctnJvzAJN2hpVFSzJAlzl19pjBzS3/qCqNTVr++D51fH7vtJBl4LH/HpJlJ8OqUk9nADZoVWiWlvVP6dPlDCct9qmrrJgi7A5d9B133CFJ+p7v+R5JY/gcVm9pDJd729vepk996lNLfQadYXV0dKwNTspKyBuTZPzSmNQtfTxgKHiXuyUuizPwlsZPB29z9yhG2hPgCwPJ9MGuj+Ke9A1GAkPkb2ditNuydiL9YE/+XabLwcLl/i1ZKov9fXrUV97zyTLTw92ZQHq2IyGT0VWSOK2rsMKqiEQlnSvs2rVrzjSpqi2NLDqtsinBq+rH9COtXqn/8muYj2Q6qQ/z8edzTR2iP98svZYl2fhduH42UwNnNIWfm8kGwBTTzT7lNVWhkmTTqTvLNDfS+HtlPLfeeqsk6QUveIGk0deQqA5JuuyyyyTtRD9MWZw7w+ro6Fgb9BdWR0fH2mDlqjl79uxZqnwrjdur3C4kXfbtCvT+eI6WnhOKkB9ACEvWpHPFM1Q4t0f0je2IbwkzJIE+QnNRVju9ZhvJlof7VHUPK+WuX9MKbvXxQMM5h8Byz+SYrgiAcVU58OknY8yxZ3UgaVE5O7UtOXr0qK644gpJ0jXXXDP/nm0DoVW4nqSzY5U3PdUCWUW7Ulbntjq3hpWTZrbXqvEoLTsl59a+qlfQUilM5XJPA1KulyorbCvQPL+Xlp09M0twVTWH5/LBD35Q0ljdCVehV73qVZLGSlqSdNNNN0lazJFWoTOsjo6OtcFJBT8j0TBPSss14bLic6U4TKmW7g2VhOTeXIOSGumG9He2lOEDtJ+uFi4lkHZZ4YV859zXr7n44osljVV/s6JJlfYlg6sxEGDEcOma0o654Bx/HoB5wIUAhShSkDn2cWSAboYuMceumJ5yGPX+P/nkk/Mwqg9/+MPzYyhgcUqmf7iIZAoUaTkHOhI8GUnFUHLt8bwzCFpqu4RkOhifgwyMznCqqsJ09o3PKjd9Kv5BhsU440q3D9pN1wUfR65TxsV8MTfussNae9/73idpDJuj9kBlpOA3c/755y+5ITk6w+ro6FgbrOzWsL29PX/LuhkWPVDqYJDG6Fdwb5BGNpbpO3h7Z5UYPxcg9WFu1ds5w2gyxCUT00nL+dizAnTWkJNGaYRzYIabuAmaucvwI6ROOmlKyw6Knh/fr/UkifQlnUEzsLlyR4DBwbQyL3yFqhZgHmcuvQo4Y0HSwlYZU6bHkcZ5yGpFuAykK4EjmUm25ffJUBaefdbn9N9DBvAn80k9qh/LHPXp1OrHWhVpsh/SssNx5uZPVxv/LvufLhAepvdnf/ZnksZ54Xnze2aX4u8C1uydd97Z6xJ2dHScGlhZh+V7e9fJ8D1v8bSYwcD8jY9UrRz8pFEyenUNLFcwHyQvViXarypMg3Tm4xpP5ZLJ/jiXNMpZddj7RDuwA8ZZSS4kVNaTY/4qJ7pMdTuV7jgtWlP6CsBcZvBwOodWqUumsLW1pYcffnhuxYRFSaMTKZIWVs3zZhweDtZK8gfTqlhMiynk83TdEtdnqEwr0N/7lpbpdFB1pCUuK1pX853Phmum9HbJwvK5+rPM0Ldk5Dwn1ow0PkOqW2d1J34PzqRIFX7//fc3U41LnWF1dHSsEVZmWNvb2/O3bRWYm34nqVtytpMBvpnatpKq6ZeDfgXJkjobP8Z3sL5M9ObgXKQDTI7x8LezmZQ+SDJYgvuGwdRa6ZRTb+L3arEZ2qh8t1rVkKuUwMkq05JZ3d/9gVr9m81mC9LT/etuvvlmSeO8YlEijCP94biXNM5zMr9KD5jXtoo4OFKXlGFaFTJMqhU47es00+VkOFVVwTqT7vF3FZDN+oMV5djpS5UqJvW93B993sc+9rGl+/DsuIbvYdOE6kgjG7vnnnsm0/d0htXR0bE2OCk/rCqNLODtmPtW3tRVehDe7Gk1RNq6nig90NN3q/IgT11VBpVyje+pkQrpf3XRRRcttF+l2Ml9f+V3gr6L7+jTV7/61YW/vQhFpmVuMR4fewanZpK4KqU012PVSStblVLEmcQUwzp8+PD8OtczIvV5FvSHQHgC7V2nR+B5WjxbLNLHn75mqYOtPN151ukDlVW0/btMBsA5FWti7Llu+J34+klLWitlcZVkMRNXZkk1Z4PsRjIpH79v+vjRj350fk1aUxkXVmHeCW5Z5J4HDhyYrCrdGVZHR8faoL+wOjo61gYrO44eOXJkKcxAGmkm37H9YluXVZalcQuYAafkayc8pcp7jWk085mzjfEqzlyf4R7Q82qLc9VVV0mSrrvuOkkjfc1AUQdUF7M657D9q3Is0Rfax2jAHLiSme0K28Y0e6erhDSG61xyySUL901nR9+asFXLoOfMM1Xlwzp8+HBzS7ixsaF9+/aVObiYs8yFxtxlSJQjt/S5na+2rhmmkts9n4/cfrW24FUAeYb68Fnl+a/CpLwN394x5jQ05Ja3UqCjZmCLyfOu8mXltje33R/5yEckLYaFZVA+eN7znidpnGvfQvN+eMYznrHkduHoDKujo2NtsBLD2t7e1hNPPFFmf0TyISl5w/NGrvKa86ZPh1HaReK4khCWhLRB0sBIeFP72x1HtgsvvFDSsmK7ChTNKjNIH8zt/O1sBnaHuZ5UOLA9T40Dc0CaIaG4bxUGkxlSU4lK4LBXVE7XkDTFZ+ZRaZS8VaoVnxOHs6+WWXpjY2P+/KRFkz5mbRhnhqfA9rwvWSWIOc3KMZXzbQZOZ653H2Ouk+x/ZXwCmf6l5bogLQdKJyvz+2QtwSqsJtvPlD2Zd74aZ+6cACFUpIXx+3plLGlclzxjno+HkF155ZWSdnZdU+FdnWF1dHSsDYYTCamYnzwM90u6+++vOx2nCA7MZrNn5Jd9/XScIMr1I634wuro6Oj4VqJvCTs6OtYGbzrlLAAAIABJREFU/YXV0dGxNugvrI6OjrXBSm4Np59++uyss84qC2m2TJEZd+UuDBkFn+bwjMnLe1aoTOonUoVkVUxlLFilb61rq77md61YwhPpW15bXVNlffD7e9+87PmhQ4f0xBNPLA12z549s3379k06BqaLS97TcSJ55FvXnsw5f1/t/V208be539/XfVq/hylH2Mcff1xHjx7V1tZWeaOVXlhnnXWW3vzmN899M9w/KtNo4G+CxzK+VVXZoQzErYJWE9XLTFoO7vVz+QFmcv98cTrSF4m+ZWI2B8eyfX/Y+eDzhV8VQ8h7t7yb/UWT7WR666k5ZhHhA5XpeTx4lf8/9alP1e/+7u+W7Z1xxhl61ateteSnIy2XvcoiJhm8TXv+XfrO0aZHGORzrF6+rb4d7wVZRWS01tYqwqvqYwYst86dWnNT/nIg11ieU63tTA2e5dd4b7hfIn5dX/7yl3XbbbeV/ZL6lrCjo2ONcFLpZUCVggPPYbyQMy6qequ3Up5U57a8gJOVOWPJdlpbksq7OdvPQpKOTIOb46lSz+a983tPx5OMtPXp46u8pP37LK5Z3RuWDMvhb0934jFmx2Mr6e0tLZeRyiR5VWmtnKscw9RaOB5rOhF2fyLIdZrraWqupn4PLbaUfavWAkj2VyU8JEIiC7W0Uk1L47PL3wrXVoU+st0WOsPq6OhYG/QXVkdHx9pg5S3hxsbGUpoRabm+XirZk962vpOWqavfJ69JSl8p41MxnvnSp6xWqcDNPOLedovCVznAUxGZ31cpb1qVV3J7UxkCWoroVHY7PLjd22Cb4CqBE6mgQ9UcFPTVNawjFP1VhR7A/GbQbm6Pqq14Nb+OE7G0tqy2jqm1lWj1aaqvrWPVFjEV5Nn/Ks99bskTmd7J28t2s+6oz41XJJracneG1dHRsTZYiWEdPXpU991337zKjSdTS6UczCHzVFfK3Xx7Z5UbP57MJFlNKsv93qDF6Cr2x2e6MWS16ryn40RcLfK+yc6qc5KdVbUS6TdK8XweOW9+z0zLQsLFqt6fVy9qSeNhGLS5uVnm6m8pp+k/a837mdWJWrncq3qQx3NR+Nv6JiXzae0EqjWTTO1E/M1a7gw+X8dzpWGe3F0p0+4ke6dvpJWSlpNdJqvlOWG8kcbUNz29TEdHxymDlRjWkSNH9NWvfnUuQb1SMs6A6cSXplNPI5sVmFMaVZVoW/vvqVpxvNHTJYJrYR0Vw0qdUr79/e90Mp2qe9iSmqmzmargW9Weyz5ltaLUK6TuyPvGs8p01LhIuFsDusvTTz+9KSFJkVw9V5CmcPqAs6rPW+qOUr9Y6XFSb1klb8z7pAk/nU/BlKtLy4O/uj7Z75Rbw/H0atX6YS3AdBkfz9ldYGiPpJC568kEndKYwBIGRXtZG9P1Xr6WptAZVkdHx9pg5SIU29vbc32CvxUzgX06QlZ76qwnlw5nVX2yVqXeKcezDF1pORxWuo5VHP2yQEXqMVzKpjRtsZKqvmLL8prjlJaLHaR1lXOd+Sb7SJYwZSXes2fPpM5lc3Nz0sLaqshcpe/lPpk6mr5U1qh81i2Lsc9h6uRyTUyFAOU6Sn3mlOWvZf2s+g+Lyb99raMngknlXLgeKceK3roV0uW7LQqJ0F/Y8cUXX7xwX2f17NCOHDnSrYQdHR2nBlb2w9ra2prvTQk+lUa21dIxuQQGqePBEoHErFhNSvm0EFUFB/Lclg6i8j+pdG9SrZtohX1MhSNVFkRvd0onl8fS38XHhGRMBpNhGf5dKyAb5lKNfcqPZhiG8j5V32E1SN5Kz4heBf1JshbWpFuz+T/3Y15gFZVOi/JtCe5DcQVnGWlV5reSc1fpZ3ONV78D2qWQC+ySAiuMxy1+qe/l3vzemAtnpB4a5vflmnPOOWdhvJJ05513LpyDfpNCMT/4gz8oaSzj52Peu3fvdGhX80hHR0fHtxlOSoeF1HPJlXqV9PCtgmyRokgD3si8xdOiVYG3d+qnnGllsG0yrKm+JVIn4SwkvcdB5U3OPSv9hPfVx9FKVZJswQtU4jGe3unJllySpj4prW+gVd7qeMHBlZ4q+wUzQHfC965fSb0NY+E5MqesEWn52XAfxl89w1ZBWYBO6Pzzz59/lwV/eY6UmuM35M+Xe6cFt/KWp11YC+XRmB/WrzOs9F3MdESVZZoxY9HjM9vwVEOMDYabv/PPfOYzkqTXvOY182vcj3NKB9oZVkdHx9qgv7A6OjrWBittCXH8w0zpSvdWrh3oJdQSJaFfk46imV3SFXqp9INmonSkTd/itIKFoeNVNss0d6d7AKjoeoYgpOHBv8s54O/KkY4+MFbfHkl1deTc/kK90+Tvz4/7pKKbOa/yJnmm0OOFtbTCknxMKNQZK+vG1QOZ1ZPnmCE7KKJ9LLkm8ln5tiTXGO2yDaLitI+bvtBvruG3w9y5WiWV4pkbzMfOFvC+++5baI81nX32PmT76TzshjH6i3KdLSHzRRu+ti+44IKFc+gj1c359L6x3s8888zJgPHOsDo6OtYGKzGsXbt26eyzz56/dV1hyJu2lRoD6eHMgXORMrzZUxJUjAEJAgtIB0h/S6N4xDyd5m+Yoku7VIC2mJZLvZTWU06nx0s7ki4e3n8Uri3HVGdLme4nU8Ywzip7bIuxAJeQ3HPK8W82m+nJJ59cUor79Yw7GXm6lUjjWvJsp97PyqCR+fZbLMaNLi2nYdYerKMydnAOv5l0N3DDRYY+0UfGSZt+TirMeb70qUockL9JzsU947zzzptfwzHYJH3J3PseZsN3nHvuuedKGg0EOTfS+Ns7HjvvDKujo2NtsBLD2tzc1Nlnn12GmuTbO6VdVjiRls39vHGReqlL8f9zv9QrVC4EMAbMregcuBbTOVJQGqXD8RIEugRrMR2khrMEWEErRINxelBphqCkGb/SJyDJM1A4XT18vpLhci7zx/icHVRrIrG9vb3AsKqUNulqgtTneJXSKJkI4Dn7Nekykw6eU4nvWmOrgtCZG+4NA3FW6uPyazLUhz46g+M54sSd94HJMQfePu3lzqJixqwfnhVj5dop526uIfUMLI0QoKqC1nFrAjSPdHR0dHyb4aR0WFN6j0xdAXgzOyNJtpRSAUngUqLFSJAOla6GNz3fITWQLBm24t9l+1MOn+nomroUl2DMQzoJMifpTOvHYCj83dJp+b25H3OAforn5jqIfJa0x7U8S0/A5nPc0s/NZrMy4Fla1qfQX54RTAsLlPcnLXw8O0JE/FkyNqR9Ok8yL87WMvwrnYar8C3WrD8/v48zCsBzzTCeqaSXzM/ll18uaXw27Bpc74XlFb1gMrnqPsnCko3deOONkhZ/76mvTl0jIUz+XFgXp59+encc7ejoODWwsg7rrLPOmtxj8hbNsIlMTyGNLIJPzsFPY6qqcuqYuA8S0qsLp6UMqYG0oy2XkJnqJtuakgLpz5L6NWmZwWXajsqqyjlIM/rbSl8rjUyC8TDH+MYgMT20IgPZGXPqd9wPz61WU8HPm5ubpd6Ma7gXUphnBsNyVpYWxNaz8tAcmE9arJif5z73uZIWfZFgmqn7nApQZ35vvfXWhXNYl/SpSmLHWEHqa6VRD8Rzy0rZHOdTWmbgaalkHl/60pfOryElDL9r2Pz111+/0EfX//p8O7Byezpt4My3+2F1dHScEljZ093fnlPpgbN4A5LMgzGRQry12e9nojqX2Fgc0hM9+1T57SCtkXIpmacKAiBNkQRVihWQlkrad0nc8vbOPvjx9MJGOmeQrOtNUnoCUntwLs/A4aWXqj67JHRGfTw/LJiEjy0ZB+fAbkgK53oWngXzwjwzFvRdnvYFlsRzI2AZHdBb3/rWhbb8mne/+92SpPe+972S2hEB0sh8SBf8xS9+UdLIVJ71rGdJWmRTrEv6myXP3GIMu0WPyK6E3xef/twvueQSSdJFF10kSbrhhhskSZ/+9KcljfP5nd/5nfNrrrrqqoV2eE4EMN9zzz2SFncMBHjzLGFf9957ryTp2muvlSQdPHhwfg3P47zzzit1aaAzrI6OjrVBf2F1dHSsDVbOh9Vy/AMZZAtdrgKZcyuWLgNQSlfOQfNzq5lBn771ZAvFsTTjVkYE+kafoOC5Zanoa25Rqu1rVuxhDjIUqMoeyraYNtgWVHnz6QNbPwKBUVi7sh2kE2Wa9Sv4lrlllKHyM4p+V9rTj7vuukvSuFVKw4WvhVYuNM5h2/WCF7xgfk2Gvzz/+c+XtGx48e07/WUrlW4q/O0KbtYaz+Y5z3mOpHErzrbPx8McpuGINVf9dlq/mQxUl8YQGbaG9J9A6h/5kR+RtOgKwTYuswNnjjDvW6p2WLf07ZZbbln4lKSrr75akvTGN75R73jHO9RCZ1gdHR1rg5PKOOp/g5aZP8MLXJmJVEMKwIpgEEgEV+hh2m1VLOFazPfSKO2Qaql4TSklLQcJwwCQein5HZmjPp0T/f/JwhgPY/b5yiyVydL43l06krnBalDS0g8fL4winUyzGpCnt8nQnwqE5jBnMCBJuvvuuxc+CcBljWT/peUA9aycBIt0Sc49mVfSpsAY/vRP/1SS9KIXvWh+DWsXF4Ws5lRV4ubZ018YFm1hRPD1Q9/SoMPzhOFJo2GB65ORouTHsCWN6x5GhRKftY0TqO8acF/gt8jvi/vRjypkKvP0pwuS/x4++clPSpJ+6Id+aDLDcGdYHR0da4OTqpqTifAWGoxA1Kwg4+EcmZAuq+VkSIi3n7qG1CW5+wXnIlEytKTKS80xpAH7b+5TVXXOQNBMkOZsKR3xAKylYqQZdIw+JCV+VY0mw51gFjAAZ2X0IfV0fHLc2VRWAq6wubmpM844Y27OdglL2AjMJENY0tXFv+NZcw3zwdiqatGsKczy9D9TEPk1rJ8MmcnKPtI4R7A8nhnXVoyUXQFzQRusyyr8hTWQztCVzg/9JWuZebvsssskLaeO8flg/WRAc5VmKX+TWTuUttzdBEb98Y9/fCmcydEZVkdHx9pgZYa1sbFR1vXL/WkGTVZvfN7Kt99+u6SRbfBWR7I488lwkUxkVtXmyyoeWVkE50G/T6Z/4dxkUS6NUmoer5qxtGwB4hrmqQoWp2+wERhV1tyTxrlEaiPhGSvXeI04JF+GbtBu9lUadRz79+9vOv7t2bNHBw4c0IEDByQt6pbS0TGrE/HsnD2mvoyx0EaVKoa+pZUu0xy7DjTXHPqbrGUI6/D2mFeYIiFBPAcPvUpWzZygh3L9HQ6ptJsVjjKlkjTqLdFhYXGnXRw8fUfDfMEu0wm6CtDOylX0hb7m706SrrjiCkk7czqlB+0Mq6OjY22wMsNyS2EValIVgXC49OfcTB+bBRIqyyLf8WZPa5tbbFKaZYAxktkDOBlbq/JtjsH/n8yqGkfqZuhD+l/5Nbm3zxCgKqU0Ug6dVYYYVeNMP6NWnUK33nKfqaDw008/XS996UuXQoqyz9KyBTTTNlf9yOSE/O0+eemvlMVS0tLo92HuWE9cC4v150M/mXfagNlVYUMZcsU4vvCFLyyNnb5kZe8Mi/JrUtcG2+Mc5slZH0wxdzCpx/bnnmmmM7QL/bBbienb9vZ2Ty/T0dFxamBlPyxnGK7DSgmZZZSQXO67wxuYN34mlatYRiYGzOT7tFUlRsvE+ZlW1i1cLUvo1Nu/5XfC3ExZq1LHl8n6ckyOLCpQBR97GpPqGmch+V3qlZLJtO6Z2NzcXOiHs7pM2ZwsGD+p6p7pF5bM2eed9QO7yAD7qqRWHktveSyB7iEOi4A5oDdi/Oi7qqrUMBz0X1XBilxr/M2cco3ro2gv0/Bkoky/T1Zyz3TRlfU2S/FxDn+jr3J9tutFp9ZSZ1gdHR1rg/7C6ujoWBusrHQfhqFUtOVWLKttpFuAf5dm3KTlVUhLa5sHxXalaTo+Qo3ZAtJGFWicisNWVWe/psrh7t9Lywrz3A6nid6R7gVsc6rtTCqtU3EMfByZUym3p9Wz9G1vK/j50Ucf1bXXXqvv//7vl7S49Uj3l8x5z6erBNJ1hjFmXb9qnLklTmflqgpMK3d8lVEWZXtmAkXRXLl+pLqB54tiHtcUaVmNkusoqzlLy/nDWuvU0cq8m8er3Hh8x/abc8li6rUaGM+US4PUGVZHR8ca4aRCc6qAX6RPSq6szOyK7QxzQdmYJlpnWJmOhWNZ/dclC4rOZGM+Ju+7tMzu0qiQKVj8/yklqgyd9JN+5xykab66d4uF+DVpUs6gbaS4s52W8j6V784IXBK3JPbW1pYeeuihpbz/0shISNGS/Urm4P1M1ohTbBXUnruDZGFT7DGRc+mOnVmHMIPMqyy0Oe88T9ryQGbaQ5HNvbNeYBViBJLlJzPyfuY6ahmYvD1ASBBgh4OxwsdzPONNZ1gdHR1rg79Vehl/q6YDYotx+Vu+lQgwpURVyy71X1l7sNJf8BbP0I10wvN2875p5nWkKT7vW0nTVvB2dU26PqROpapGnebuloSc0t9lyhv+drbs57T0EFtbWwum/yrRIGE7MBPWQq6j7LPjRHQzyUpBxepzvaSuiX64EyjXkAAvK8lUzD0ZTosdS8tVyzP8LN0dvJ2so5hMa6paVbrqVOwz9Y3JwnC0dVSsvUJnWB0dHWuDlRjWMAzatWvXpORCCiTbqPQi+VZtsRiXqllNOa1dlbNp3i9TMlfVebhnMp1KT9S6T46jCsLNMI9s38eRaWTSMppz46C9lG78XaWkyTCrHLNfQ2Dtnj17mjqfra0tffOb35w7eHrA9XXXXSdJevGLXyxpdLRsPSvak5ZZdlrBpvQrrfVZsVTmOxlKVQsTZoWllfQpySCqBAKA+YbZepI8dH1Z/TvT+1RW5mRJ+b1fk+m+W2352qBPOT+s3zvuuENSvebOPPPMXpewo6Pj1MBJ+WGBE6lLCJJ1SMvBwS3dzxSjy3aTRVXHWjoflzh5z2SDlZUw9+qZXsP9TjK8BWtP+q+51M2UN6k3nEqexzkZupGpY6RlS1kyrgy4lUZfGwoctLC9vT1PK0MAsCR96EMfWrg385KWySk/PpBsrPKpSitaSvXKupbsK9MsOXtFt4QO7nihLX5O3q/yqcISim/WnXfeKWlk7Jmc0ttNv8OpWphpic7fQbJOabnwTOpeq10Kz/nCCy/sdQk7OjpODazMsKQ6hUu+rVu+SC6VU0K1mJYjpU5avar7J7vgvlhU0rLi/8/PKYtKMreU8O6lnRZS2kcXVJVpymRwGVVQBaLm/KR/U/oJ+TwlUhJTMEIaJf1jjz22EEjt2LVrl575zGfqmmuukST97M/+7PwYBRYonpCBusyH61cyYDot01U0Qj7P9JGrLIHpz5XMHzbllZlZU/hQ5TOrdHLJrCrLOoBh8RzxdUI/dOWVVy7MkbTsW9gqQ+esrMUmQaZ8dqQ+O9ma62TRz/XKzx0dHacM+guro6NjbbCyW8Pm5uac4lXhHC2TaaU0TdO9ZzrM+4JU6ifdZMvgebf4P33DwY92M6g3x+bIKsiVm0ZrS+vnoiAny2kqtHGwpH6df5f5yHPeqjzzIGl5VZ0nHQcrJ1ZpcYvLtmj37t1Nt4aNjQ2ddtppcxM8inpJevWrXy1Jev/73y9p3AJiEudevl1NI0PWT8xgXx9DS3UBfLuS7iTpGMl4fN4y4J5nlJleK0fJVCVUTpW0S0gTz/Hmm2+WNG4ZvZZha0ubvx3fdqd6II0HldtEnstvKcOs3NH2JS95iaSd8KNel7Cjo+OUwMpKd5fe/vZtuTXkW73KTJh/5zWueE5GkNkNcR3wen9cgyIy67JVjmpIsHSaRCpVNe+4TyvEwSV9OkRmu/TNJRgK+XTIS+nt89Vy4WgFUFdjzgyw3N+vORGDyfb2th577LG5E+UHP/jB+bGf/MmflDQyrU996lML/a4keprHmcN8nh4Wk/1MNlZV9GY+Yeo4bWJogDk4E0smfiKZOlPJnnNZhbXx/LIi81133bVwP2k5tU1m1a3CeVqO01UwOkhDT7qd4Ppy6aWXzr+j/x/5yEeauxupM6yOjo41wkoMa3t7W48++mjJTFrOhS1HUkcykUx94m/x3GfDrNDvIAVdh5Vm0lYQq0ujrDCd4+G+1Rykc2Y60nm7mQSOaypp19LbZZK+Kig5a8KlbsKfD33IoPBMRudtEJaya9euSR3ek08+OWeEnpDune98pyTp8ssvlzQ6lWZ4ioe/ZN/TbJ+VcHwMmT89WapLedwVWGN8ZoC2r7NMDgmSYVVB+q0Qo2peuQ9jf85zniNJuvHGGyWNOi1p3HWgN8WVIMPbKnaZayGdmCumlXULUjfn6xRn4tls1nO6d3R0nBpYOb3MkSNHStf6VhK5/LvS47RSnWSQqTQyGyQgTAppBzvwfXOmtUBKpwOp9y2rG2e4SqYc8T4xnuxbZVFBHwKwtjFOl37JbFrpefw+6fSYtfyycrCPKR0KU5q7NRBr1ebm5nFThNA/D+bFGkrQM46jWLuqNDxcT7+Yq1b4SI5TGueZz0zX7e2lfou/06HX781Y04k1mYu3m6y4CjFK/S5jp08HDx6UNDqSSqOjL5/JsCq9GkiLbDocOyvKseV6yV2Lt/eUpzylBz93dHScGliJYeFHUyXvynQsrdpnFTJ0Jq2Erk9I1pL+OckGJOncc8+VNEoQwhiyCnJVVTjbZVxV8CrH0HEk26uS5CUr435IOU+7m5WMM61KhWSCqWus2DJjSp1JWmRdEsNSX/jCF+r2228v+zIMg3bv3j3vt0tl5p75IETnc5/73MK9qjTEyRAAa6Bi9ckeM123s7/zzz9/oQ9YomHqsEAfD8+ItcB9OLdK150MJ59rFZyf1mbaoM/uo8dzQ5dFymV+D1W9SfrCbyRTd1fsLxlprrlMYS0tsq6uw+ro6DglsLIOa2tra4lNScs6rJaPlTMt3s7JGDJxXKXDciug9wWp5BISj1qkM1IcT2t0Wy69k11k0YgpIFVT7+VMMXVkSOv0B3IplNY72qNP2aa0LIlbiQmrwG/ug5SGWVSsjLG+4Q1v0Lve9a5yXmBY6c/loD+pj+J5+7rydD3eX8ZIv10PyFzB6DjG/KOLgwX4MayFzDvrKi2w0sj8WVv0n7Qvea2PPXVX1W8nf2dZQZyxuzf5s5/9bDmw0mblatffVemHpDbTctCHtITCjH08zNc555zTrHAudYbV0dGxRugvrI6OjrXB3yofllO6zP6YSuTKEZJzoZ2ZeycdMP36pKrQSMIPqL4ijeEK0GY+2QLeeuutkpZdDLwPnJv5japc1yfiAgGFZuuRitvKXMw2F/oM/WebXDkWtrJYguo+uc3IrTtK20o5e/vttzfzabElrHIrtQKm00TuTqBs63Lrmm4OvtXP+o8cy+ywrvDOIOd0XmZL5WubMCrWVLof4LxZOfmmKw1bNZ6z/59raK/1u5OW3WBYc8xFZqH1/2dIXDqS+pYwFfTpUpMqDWlcf89+9rN7PqyOjo5TAyszLHedr7JUplNYKoKnFHrHY1pVe7ytcd7DnMuntBx2AUtKdnPbbbfNr0FJmqkxUPQiKStXhQx85b6u/KUPWek5U3241M5qwllVuwLH6EMVUO599mMZPoICOasYS2NIzSOPPNJkS9m+M6xWeBbnVIwExslnKwi8YjFZdSlzk/uaYy3g1Eu7rIVq94CrAI6wyXBR5FcMmnMz2NorP99zzz2SxjVBQDHzlE7RjnQ7SBcPXxu0n6yvcmcAudbSSFMxcHelmQqg7wyro6NjbXBSdQmr0Ix0rMwgWz5dCiFBkiFkxdgqBCjN/+iu+KycKbPGGjoQ9F2YnKXR5IspG/0FfZ6qeItUywBbbz+DR3P+KimDZETqMae0X1X/4VhW5E4W5XPcYn2cw/39WZLOZP/+/U0dFqiCklMKp/RPvYj3g+eYeqiqQnU6WmZlF/rhOwF0VMlWGSfM08eN3ikdj9Ft4RjrDAt2RL9PJNwMlsf8c1/mxt178vfUChOqklKCTH0zxbSyjXR98N8oa+7OO++cXD+dYXV0dKwNVmJYW1tbeuihh5YkgbTsoJj6p7Q2+P9b+q5kH9Iys4K1IGW5xi0qGejL2xxpmlYlaUwty1jRSSBtadMlUOoNkCBIuyrkIC1Omb6mqjIEaDdT1DijqEJAfC5aYSDSOB+uO/FrHUj6T3ziEwtz7yCBX1ofvc8ZmtT6lNr1+5I1VRas1HPlNZWUT0aSjD2rakuj42bqXJkvn1uYFJZL9Fwkt/NnmIyNStPsAHCAdR1WqxpP6vMqJ+K8NllaxbAytVSuXx8P7fcUyR0dHacMTkqHVVXLzSBJGEPqalw30EpBAzL5vyMZA5Klspzlm70V9OzMJANnU39UFa5oJflDmrrUTp0e16QvjDPSTDZHnzI9jktVpGbOSwaJV9WRs0+p/3FJ6HqQlj7j6NGjeuCBB+bs1ddPMvMMxK1CiFqVwTP9sT/X9MVrhcH4msGKnEHh9AWW70U5QDLD1K/5mmC98Py4Lymlfb7oH+sxUyaxM6h83VoMtFrT+ZvMOpqVLjctiq3K3FVqpt27d3crYUdHx6mB/sLq6OhYG6y0Jdy1a5fOOeec+RahcjbMfOxp9nSKmaXWc/uY50nLjpVkqkyHTjfnJn3OkuYoOTO3tbTs4DflOJeUmj5VmRwxP3MMp0TM3VVWRrYGac6n/2w32A5k/xypdK4U0/QRup7R955fnXP279/fvCdK99yaeD8ztCsVw1PIkJ9UJvv/s1pOZkqotp6ZQSLDVHgufizzbaURxPvGd2wFq8pM2T59QcmeW7Rqy5Zb+1zLVW6rfGYZklPVtcyaDK1sFH7O8dAZVkdHx9pgJYZ19OhRPfjgg2UlHNgRkhbpkDmtXVmOsjIDOVFeVvXJkPq8xXHoRHmJwycBz9LIRJBCGSiKs2mVl9rb8fthwvbNC5l7AAAUM0lEQVS8SbA65gWTNczEx5NVedIhFcnr98fBNc34UzX18n5Ziy6Zsfc/HWxTye9K96lacgCjTZUpNSsltxTqvn7S4TGVuaxJZ+ipiE82WLlPJDtqKa8rhp7B1jm+imHxCYNNZie1A+zTgOVZdNNQ1WJaFaPLrKHJynwt5DNLpX5W3/Z2jofOsDo6OtYGKzGsxx9/XDfccMM8c2FVI66lP5iqEQfTQirAsNABeXZR9AQwuIsvvljSKOEJpfGad7z9YUXcr1UNRhrzwCOh0LOlU6iPJ0MbaBeJ4uOgL+naceGFFy6ME/ZX3Tv1E5UOItOMpBStat4x77TPXKerQZWPfMqtYWNjQ6effvp8rFUakZTGrerO1biTNVbssdV+6pxcJ9NiYVNZN3lWsO4M3k4dnf+/xZir0JzMIJtZXCvXk2Q46d5Q1RBNV5dWiFM1NsaRz8nXr6+t7tbQ0dFxSmBlHdYDDzwwfxteeuml82P5tk6LTWUZSGe6ZC2VNCWNDOwOSYYEQ8fl+b5hM3yXFjjCGyq2lJWH06GzqpicjK7KXY60RErDWpHIVRXnZDogLTZ+v5RWLSlXWWJhuq3UNM6w3SGzlYBtGAaddtpp8/bdwTWtZ+lsmMnfpLZ+60QsiukgmtbJyiE4q8BkuI33J51M6ROMvXKKTr1Urr3KcpksplV53a9v1Z3M8/zcvG8yLW+D9ZdrONdp5dS6d+/eybqWnWF1dHSsDVZiWJubmwspUrCYScv6rJbFYSotS7IwpLZL4ipthjRKJ/rn1hf6htTLmoaZ/lUaE6/BarLOHJLFwzEygDd9nbxPWBeT7TH2ShJzfctiUwWNtvQv+bczOfSCzEH6sWWlGWkx8LolIalryRz6eclSUj9UpShJVpRjrtZa6mmS/VYpjZLRtnzDnP2lbiefb8VCOTcTWVYMjjGn/om/M5zKrwGt+oEeLpRpfVL/lX6R0rKFkjbSOuzPkusrS6ujM6yOjo61wUl5uvMmRlJKIwtKH5XK5wLknjp9hNILWRqlOm9vPulLFmiQlpkP7IY0ytzf2RLnJkOZYjWt6soZDC2N+rRMecPfWTfP20+rUQZoO1PMqIQcD/ep/MmwUN54440L12R6Z2l8lpubm00rD35YVdRDKzFczrO3nSwpGURlvUu/pVyDmSq51Y60HEA9lYqZOcskg1NVqVv38fYrn0ip9pXLtECpr6t2DakryzmoEhfQX9ZW653gTC592lroDKujo2Nt0F9YHR0da4OVtoQoTSsaSibODMnx0ACpzunTyjFd0XOQykDcHWjfnTRpF6qaeaqqTIu5lW3lw66Usy2K7eErtM/2K1062EJUFXEy9GSq0k5uF/mbLSAZMf054SKSDoyf//znF65xpXa2X4EtYeXiwljSJN7Kx+T3z88p5W5LKZ3z5PdJAw/3yTxqvn1vhQlVuddArv/MIV85wGbIVa6XKnNqboczoN9/b+kwnVvRrIwjLeccy5z0jKcK55pSKUidYXV0dKwRTophVZkEYS2ZNiUlgZtzp+qh+d+V5Gop53Br8OP0reVwWUmndNbL+1UOcxnEnc6B7gaQ7DEVq1OpPlK5n+k8HHkuDqpk/axYLMr2rJzcypnu937yyScnFacbGxvzdqvwl1atvJwD2vKxZSXxVLBLy0HPaeipwlLS2NEyCHg23VSqpyGmcnJt5dmvGEdWvc5+MweeZz6fH3+33EKqficqN5Bcu/lbqeba11RnWB0dHacEVmJYs9lM29vbJSNCaqIXSulTVcfNkI/UFyENkfDScuhGmk457nqHTOnRquQzZTYGKT18H45eKIOEU4/h32VISoYtuA6ikv5+TrIF7z+fF1xwgaRR51cFFaeDaOoiGLOPh3b27dtX6mcY0+bm5qRuMvU3tHUiOrJ8VlmRSFquUJ7znEkLpWUzfPZtKp1POrEylyRjJNhdGtcP15DUkT75ONK9gDnlt1LVNkgWm/ovnqG7q6SutuV64cg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      "text/plain": "<Figure size 288x325.44 with 4 Axes>"
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot_gallery(\"Mean Faces\", faces_centered[:n_components])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ]
}