{ "cells": [ { "cell_type": "code", "execution_count": 5, "metadata": { "collapsed": true }, "outputs": [], "source": [ "%matplotlib inline" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# What is PCA?\n", "\n", "## 主成分分析とは\n", "\n", "主成分分析(しゅせいぶんぶんせき、英語: principal component analysis、PCAと略すこともある)は、直交回転を用いて変数間に相関がある元の観測値を、相関の無い主成分とよばれる値に変換するための数学的な手続きのことである。主成分分析は、1901年にカール・ピアソンによって開発された手法である。KL展開(Karhunen-Loève expansion)とも呼ばれる。主成分は、分散共分散行列(あるいは相関係数行列)に対する固有値分解あるいは、分散共分散行列(相関係数行列)に対応した偏差行列(相関係数行列の場合には標準化された行列)の特異値分解によって得ることができる。主成分分析の結果は、元の観測値(対象)に対応した変換後の値である主成分得点と、各々の主成分得点に対する変数の重みに相当する主成分負荷量として得られ、一般的にはこの2つの状況をそれぞれに可視化した主成分プロット、あるいは2つの図を重ねあわせたバイプロットを通して結果を解釈する。主成分分析を実行するためのソフトウェアや関数によって、観測値の基準化の方法や数値計算のアルゴリズムに微細な差異が多く存在し、必ずしも全く同じ値が出るとは限らない(例えば、Rにおけるprcomp関数とFactoMineRのPCA関数の結果は異なる)。\n", "\n", "by [wikipedia](http://ja.wikipedia.org/wiki/%E4%B8%BB%E6%88%90%E5%88%86%E5%88%86%E6%9E%90)\n", "\n", "\n", "(よくわからない)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "数式とか、導出とか、気になる方は後ほど調べてみてください.\n", "今回はなるべく直感的に分かるよう説明します.\n", "\n", "## PCAについて\n", "- 教師なし学習の一つ\n", "- データの分散が大きいところ(主成分)をみつける\n", "\n", "### やってること(イメージ)\n", "1. データの分散が最大となる方向を見つける\n", "2. 新しいデータ表現軸として1.で求めた方向を基底にする\n", "3. 上記でとった軸と直交する方向に対して分散が最大となる方向を探す\n", "4. 2.〜3.を元のデータの次元分だけくり返す\n", "\n", "### どう役に立つのか?\n", "- データの次元を圧縮するのに役立つ\n", "- データの特性を抽出するのに役立つ\n", "- 多次元特徴量の可視化に役立つ" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## イメージこんな感じ\n", "\n", "![Example](http://cnx.org/resources/269e78e2506cdbdc7f45ca17bb7d83491ce0c644/pca.jpg)\n", "\n", "by [http://cnx.org/resources/269e78e2506cdbdc7f45ca17bb7d83491ce0c644/pca.jpg](http://cnx.org/resources/269e78e2506cdbdc7f45ca17bb7d83491ce0c644/pca.jpg)\n", "\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## とりあえずやってみよう\n", "\n", "### サンプルデータを作る\n", "二次元の正規分布からデータをランダムサンプリングします.\n", "\n", "分散共分散は下記の通り(あまり気にしない)\n", "\n", "```\n", "2.9 -2.2\n", "-2.2 6.5\n", "```\n", "\n", "今回は200サンプルを生成します." ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "collapsed": false }, "outputs": [], "source": [ "import numpy as np\n", "Cov = np.array([[2.9, -2.2], [-2.2, 6.5]])\n", "X = np.random.multivariate_normal([1,2], Cov, size=200) # 200 samples" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "データを10個ぐらい見てみます" ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[[ 2.008 0.1628]\n", " [-0.0326 -2.7002]\n", " [ 2.4856 -2.7791]\n", " [ 2.7062 -2.2573]\n", " [ 1.586 3.8585]\n", " [-0.0144 0.0259]\n", " [ 1.4101 -0.2552]\n", " [ 0.4121 1.7315]\n", " [ 0.6801 -0.6442]\n", " [ 1.1693 0.4768]]\n" ] } ], "source": [ "np.set_printoptions(4, suppress=True) # show only four decimals\n", "print X[:10,:] # print the first 10 rows of X (from 0 to 9)" ] }, { "cell_type": "markdown", "metadata": { "collapsed": false }, "source": [ "データを可視化してみましょう" ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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ZmDTGBPVNxPs13CjaYm7jILh+n7u/gSHHFET3BpDoD+gBPgU2TvrcGITUzNBt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\nGAwGg8FgMBgMBoOhF/H/24sM9O4Wa2kAAAAASUVORK5CYII=\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import matplotlib.pyplot as plt\n", "plt.figure(figsize=(4,4))\n", "plt.scatter(X[:,0], X[:,1])\n", "plt.axis('equal') # equal scaling on both axis;" ] }, { "cell_type": "markdown", "metadata": { "collapsed": false }, "source": [ "PCAをやってみる" ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "collapsed": false }, "outputs": [], "source": [ "from sklearn.decomposition import PCA\n", "pca = PCA()\n", "X_pca = pca.fit_transform(X)" ] }, { "cell_type": "markdown", "metadata": { "collapsed": false }, "source": [ "結果を見てみる" ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "array([[-0.4035, 0.915 ],\n", " [ 0.915 , 0.4035]])" ] }, "execution_count": 10, "metadata": {}, "output_type": "execute_result" } ], "source": [ "pca.components_ # これが計算された基底(軸)になります" ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "array([ 0.8252, 2.3109])" ] }, "execution_count": 11, "metadata": {}, "output_type": "execute_result" } ], "source": [ "pca.mean_ #データの平均" ] }, { "cell_type": "code", "execution_count": 12, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "array([ 0.7734, 0.2266])" ] }, "execution_count": 12, "metadata": {}, "output_type": "execute_result" } ], "source": [ "pca.explained_variance_ratio_ # 固有値が占める割合(各軸の重要度)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "PCAで射影されたデータを見る\n", "\n", "X_pcaはPCAによって求めた軸上で見た時のデータに変換されたもの" ] }, { "cell_type": "code", "execution_count": 15, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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4ZeA73ikPPpRVO+6K0IM/Ypn/ij2urbp/ILo6aXJWIFGB80S7Grv35NeKxvlv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\nvJv8g629KAAAAABJRU5ErkJggg==\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(4,4))\n", "plt.scatter(X_pca[:,0], X_pca[:,1])\n", "plt.axis('equal');" ] }, { "cell_type": "markdown", "metadata": { "collapsed": false }, "source": [ "ちゃんとデータが多い方向に軸がとり直されてる。" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "元のデータをPCAで求めた軸上にプロットしてみる\n", "\n", "元データから平均を引いて,軸上に射影する" ] }, { "cell_type": "code", "execution_count": 16, "metadata": { "collapsed": false }, "outputs": [], "source": [ "Y = np.dot((X - pca.mean_), pca.components_.T)" ] }, { "cell_type": "code", "execution_count": 17, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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YXisQu6Xv08fuhEPNoN0gsGIc2M+8WA7Rx2FGMxyUhFgCyvfpegLgCLT8aeVB3pupXz64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\n2NNXxOFlA3X9lJ4ylYL0bSK1mX6O91X3WtbLVvyVRlIntzW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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(8,4))\n", "\n", "# 元のデータ\n", "plt.subplot(121)\n", "plt.scatter(X[:,0], X[:,1])\n", "plt.axis('equal');\n", "\n", "# 射影されたデータ\n", "plt.subplot(122)\n", "plt.scatter(Y[:,0], Y[:,1])\n", "plt.axis('equal');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# 顔データをPCAしてみる\n", "\n", "画像データは2次元のデータ列\n", "->PCAをするとどうなるのか?\n", "\n", "## 今回の実験\n", "画像のサイズ64*64px, 400人の顔データをPCAしてみる\n", "それぞれの軸がどのようなデータの意味を表しているのかをみてみる" ] }, { "cell_type": "code", "execution_count": 34, "metadata": { "collapsed": false }, "outputs": [], "source": [ "# load data\n", "\n", "import matplotlib as mpl\n", "from sklearn.datasets import fetch_olivetti_faces\n", "data = fetch_olivetti_faces()" ] }, { "cell_type": "code", "execution_count": 35, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 35, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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18KM8TAGkPKgCigKSPmXmOVJbI2AQVDixs9ms05yUL33pFgp4+lJeBYJzUoEO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/84lB/zowTIi5qipEB0fHyM7373uykAVJ70gJz7yUqlEl544YXQ9+FwGGo9agFcrfyt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\nnHLKKaeccsopp5xyuu/p/wMgKTw7JhuqYgAAAABJRU5ErkJggg==\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# データの中身確認1\n", "\n", "plt.subplot(221)\n", "plt.imshow(data.images[0], cmap=mpl.cm.gray)\n", "plt.subplot(222)\n", "plt.imshow(data.images[1], cmap=mpl.cm.gray)\n", "plt.subplot(223)\n", "plt.imshow(data.images[2], cmap=mpl.cm.gray)\n", "plt.subplot(224)\n", "plt.imshow(data.images[3], cmap=mpl.cm.gray)" ] }, { "cell_type": "code", "execution_count": 36, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 36, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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TvG14XkLcTqcTvM9OpxPepVqt6tq1ayqVSsc4EDxFSGcHX0hrlCaTIOfSaxJN\ntDV9QmYyl8uFQcxABNy8GBhdhH5ZX18PhsunR6HLXjKytraWCOVIDLiHRslW2owint2zopRI+Swk\nANOnQkrzXfam02nItK6urgbOD+qG98Dz4/niJdCdh+OdPNsaJyRi3u40WQToXr/9kaSWpGclPagF\n1+2K433qZHy+KplCeAlJYdmjnZ0dPfDAA9ra2grhLVOhyFpSikJdXByGOofC3FKshj9fXETpxKeL\ngxx/Y7F9OpnfO+b6UDL2eWDQYAAmk9m0Np6bQbC7u6tutxumnREeA7A8C++HsuJtZhLkXHrtGXWM\nCwMcPdzc3JQ072v6wJMHeHf0F4Y/TkTwu88TBURdbyhYxwu8ePFi4M/S9Bagw1Pzcg0cBMYJ915b\nWwvG30uZXAfRW+gc9yLT6uJ4Hv8/UVjawgQ8N8eeJXfK0b1V0p+Q9GktuG4XjUtn8HF0lpL1dpcv\nX9ZDDz2kpaUlbW5uanNzM3AE7XY7NLyXbjSbzVDSAeI7YUzDxWSrdzqemIOgcy5S+l6xcBVwJu7S\ne10gfIOHwA76WOdSqRSsJqE4AE4tYr1e18HBQbgWVnk0GgWFwgNAaTOO7kR5q+5Qr+O11CiChY/C\nu/KyDLbB9HAMwQj6lEFJiTAXnY2jCy+2ZaUcOHAWyHCg87IYwM25aPS2WCwm6gFjB4D6T5ImeK0O\nTtwPPU8rbYkFA+3z2x0z+N1ngJwldwJ0ZUm/JOlvSGpG/ztx3a6Pfexj4fennnpKH/jABxLuuDd+\nqVTSgw8+GF6SzmOQ9/v94K2gPLw4ChDzax5qekNLyR3IACavyOa5/HpeqhHXpmFJpTnxDLfgtVZu\nod1jJFUPl4J3htsPSJO5xbLGA8Ot4he/+EV99rOfTZDimSTkrvT6k5/8ZDCq73nPe/Sud70rEbah\nZ76ApTT3zrwYGDDxGRKuJ3yk5EogvoJPsVgMNakkFeDCXbe9esABLx6TVBTwLl5qhe559YFPf/Ni\n59CQKaGlh55+f/fePPJjnHPcF7/4RX3pS1868fouiwLdsmbK8E81X7ZmoXW7PvrRjyaskbur7lGR\nsbl69WroPN9vgmLGmN/whnJl8mwMwIalABQdINzL8uyVdwhA565zDJB+L7dCzk+QBeVvvEL3RnnW\n+NnxIPDSWBpoMBgol8sleJ1cLqcnnnhCjz76aDjuV37lVxbs8m8KuWu9/it/5a+EhSfcEKIzgIoX\nmTsY8PHVOjKXAAAgAElEQVTEwUlAx3UcgNbW1sL4IEyldtTnj3pZkQMd13LD7WDDh+oBMq0xTUKk\n5ZtYeT2qOzIeOvt4cT4u9tq4pwMdz/6e97wnLHg6mUz0yU9+8sSOXgTocpJ+VtJXJP20fb/Qul0e\nWtEIcRLAG83R21/WAUmaV6N7WOpW0pGf+9GAcU1Z3PD+P29YSSG0TfMQ/XifUoNwfT8PZSbrxYCI\n2y9OfsDJ8F6ED97GrjQkJjIJck/02kEC3s3XdvPyDUABg+QzWDCAPjdamnsqhMPU1BHpkLyA4oEX\ndE/RPUM3rPG7+LhjnDiPvL6+nuDIWXXY56D7/G4pCf5ODTlvByjzDDGlFFM9fO8R1lnh6yJA96Sk\n75H0BUmfu/3d39KC63adlRFxkAG4HOD8GK+EplG4B3yUKwlA41yGA9ZJnQ0PhhLTqIhzJPH5sfK7\ntfdj/DusPM8e84Bp01u4Bh6ev6uDa5qSZCLpnHrt+kMbuxcGb+vcmOszHjr7Q+Dh+6D1UA5wgX+j\n5s6X5adcyj1JD4t5rrgWzeka/7jOegbU+UDmwPIeDvLukfr4Qxc9u+v3oL18RZaY24vH7lmyCND9\nW0knweVCa9KdJHFNjKQE0LnHR+fEyO3eG2DnmSznyVzh4tDUGzqfzyfW+crlcqHuR1ICSD3TGYfJ\nDmoeeiC8qwM1SuqKmJY48ffwYmU/3t8tBuZMzqfX8G5uhLzP4LHQB5IUJK0oRWm326F+0vktPECf\nHcDq0oCcL4KBDvmzOBjH81Qd5OJKA6eDMPLoGM/k0yS9tMbBjmcgCebXdr30kijGH3rtZS4cEztO\nZzlT0hs0Bcw5s5gU5Tv/cI53imeDfCHC2DPjeg5ysSVwr8dda+dAIP5jy+EA7GGylOQDXWnckjuP\n6G0TKxr3i73TOOMbv7Nn0WILnsm9E8JMEkySAqfFZksxDUK21YuKfTVf94TIpDrf5hsqOR0kJceV\nA5cnBTzi8XOlZEE/AENUw7XdqWAskoDhQ90phdJxyOz347kd9DD8MTfnnjH3wetcpJrgvgNd2gBz\n4JLSgc4bxjvFvSQHQf87La53oIvr4uLsVqwoMYEbe5mx9+Tnezjrz+jnpQGWt4d7svH7evv5Nbxt\nYg8xk/MLXJSvQILX41sN0uZweLF+OSh4ZhyPDi9Qmq8i7J5SrJ8ucSQQA50f58cDdE7RuD7HpSax\ng+JjKQ3s4kjNQ1sv5E+jXYiMfBw4lpwkb9jqJTEfgKQRiQ4GaeLH+2B3sjMGmbgzYrAhk+RV33iP\n7kG6l+chsl/3JJCVlABHLH6adxtba/+ZFtqigH5cDMgZ0N07IYmAV+eJHw/9PIMYG2YikjSPh/PR\nHe/D2IOJjapXOcQRBTqbNg49MsFT5dm9AiBN91zX3eN0ztmBjWdgiqLzdq6/Ph5ikPOs7lnyhnl0\naY3jP/04P/ckL895KhdvdFcWP86zNfF3uPm+Lpgrmgvf+1SY2KOMj/dMrIMT/4/BOM0j9Kws14kT\nHG69+WQFw/dOCEO92LtQKCTaODZAMY1C+BfTC66X/M+jCzemHBPrfRxVuFHnHq6HPk48G+ofgA4+\n2XXdQd11djqdhoQZ4uOYUJdrOM/otJSvXHySR3iavGHLNPlDumsaD+7ThEHuA9+Vie/TgM69IW9o\nt4Lcn3DCvS4EheN3r1yPPbo0y5R2PQ/L3WL5O6WB/UmeK/f053JSOJPzi09y9xkv7rHFQORToFwf\n4vHhHr3XrEk6pjs+DmKO2L93o+3n+/M5yJEAIHz2ekHOOUkX3dC7E8NxcdjJVLPYYLv3GRfYx0b8\nTQ9d3VOLQ6gY6E46z4+PPT5+ptWyeYO7ZeWaXpPj8+nYd5X5hlhqL/qMvUv/O7asDmSxW8/fDmoO\nSJwjKXE/fy+3xrGL79Yvmxlx78S9ZE8yeCbWAYy6NPTO9T7Wf6cm0DkHMPo31nEP8WJd8RAzvm/s\n2cHPMS58nMROSayL8bh15yYNZOP3iMeSA5uv2uwc6SIh7BsCdDEwxHyRK0TstscSu99xg/s1YsvJ\nYPelbTxcBexYgHB1dTVMfaG8hGWTfLloV644jIinwcTWje9dgTyjFndgHBLHXmMcpjAYqbrP5N4I\n/c2cVS8PkpIGKg0g+L8DEn3uIVsMGP7hPI5D/9KSFLH3H/PK6Awhq49HBxOMMnrFd3B4MU0kHTfQ\naTrtnm2csPCx5YCXxm2eJGcB3ZqkfyNpVdKKpF/RrKhy4TW7GOh0ng/itM6MvaAYyNLkNM/Q/z+d\nThNbyvmGOO7+YoHL5XJY2jqXm69QksvNV1vxRvd39AJe3oHjnZ/kewd7/97d/PhdYi85Tdm4J1xI\nJkHOpdsMMNcNxD1t+jkuK6IfY92Lo544IvIP38feu09tdE8rDi853++Hsef6GHTXTS8j4Rxfcs3b\ngnfyd47B0I2/c+VeshKDeFwXeJacBXQ9SX9SUuf2sf9W0lOaLWVz5ppdvEQcciIxqPkgluZuOoqA\n5fRrx9xULA5GXtvj4SPr+gOChK5s58ZimYS2W1tbiR3CmPoCv8HWim7RY24mLUGS9tz+jh7mcl0P\nhxz4YuKW988kyLl0m7Z07z7WT2kOUHhvruuxfqd5a3HoRpbS91OISXyAwccMXlda6Qv3wth6zZpH\nAx6Cs0guc1wrlUpYKQXQw0PE2/UQ2UNtf99Yb92Lgw/1aCpOzJ0ki4Sunds/VyQVJB1pwTW7JCX4\nhTR32yXu7Diup+G8Fsk/aWCKFcD6OinPqqhsRM1GO7jpLLPjcxJzuVzYWSnOtrIWHaCTtnbWaaFo\nbM0lhWf1soWYG/R39WtkWdcz5a51O+ZsWaU3DrsAqdiLkpKGKg3ouI/vpdrr9dTpdIKuMQXMl+33\nsBOg86WjvFbNhfv6LBr0H0DB2CPtdjtse8C0MECPomeezQEubg/n2WJvznlQB7s4EjxNFgG6vKR/\nL+ltkv5HSV/Wgmt20VBp0zZ4QSm9rMJfwMM/roXycL5fJ3aFsUAxmckin8PhMOzH0Gw2QyjiS0gD\nErVaTfv7+5pOp+F87o3V4xl8Bdr4veP384JSpFAohK0T3ZPjWdJCYK7vISvXzTi6Y3LXuo3hlJTg\nsTxZFZeaSPPEWZwxdI/cvfLhcKhut6t6va5Go6FWq6Vms6nJZBJ2lsNL87IPklt8zwwLX3Ldx0oa\nj8a+K9PpbNexfD4fZmYAfuzdUq/XtbQ0W1h3c3NTGxsbif1mff2+2IFxiQ2EA5vv8RxnYc+SRYBu\nIuk9kjYk/Zpm7n7i2XTCml2S9Mwzz4QOePLJJ/XBD34wPCDeXkyup7nw7t774E4DSP/OG8Ybj1Aj\nl8uFLRWbzaZqtVrw3FjBlfPSPFI4CTbbpaYqLZTxd6JzfC09f698Ph88SgZMfP5kMjnGh9CuKMIX\nv/hF/f7v/77G47Hq9frJvfzNKXet27/1W78Vtph85JFH9K53vSsxXUk6vnCElOTm3AOnns5pBry3\nZrOpw8ND1Wq1YIyXlpbC2nOSwn3jhV3dk4onzadxXT7GpOM1dj4diw2nAX2f79put1WtVsOCBezp\n4jxyWmQXe8O0g3tzPPNzzz2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Vr5zR5d80ci7dvnr1alhVd319Xa1WK1FiIs1LLDDEPt8b\nUCGU7XQ6iWytF7PzkwytA0P8kRSu6SsKE8JCDbne83w8l+sR75QWjXlCIg5fHfDwyng+2gxdx+Hw\n8x0P0qIvjAtje319XXt7ezpJzgK6H7/9kWa8xYclfa9mRO1C69HFE4S9WBIQwHNzro4XlnSsUJCG\nRQH6/b5u3rypg4ODsHAmnhz3o1O9ZscBl8zQ5uZmCDfdA+v3+6rVaiH54IpFCOFZMDqbjCdg6NOC\nOI/BQIdjGT2D6qQyXGHMteDRYRRcMbzWMBNJ59RtjCLt2mw2Q7ZUUihHiueW8j+MG6DUbrcT5UJu\nIEl6AC4ehUjJgl9Ai8J3AMf3PMFzhEZhdRMMJka43+8HgEorKYkjIh+7OCiMbS+NYZzEhcDumZ5U\ncuJcda1WC9Pd7uUKw9Lcjf9JLbgenYeVFC36tBlJYXB7Q/FSNKgTkoAnpSv1el2vvfaa6vV6mL4F\nCHANMldLS0tqt9sJvsq5Qo6JM0lO3GJl/XuUjVUgHIQAILLArsgMjul0GoqMURpPzPgnDmlpF+7F\n4PPkhK/Gkkmq3JFub21taX19PUQbbtABHQYfFQcAj/NfHioSdkrzTWlIpjWbzcRqPHhr6LgnDnxJ\nIybVM+4c7Hy5JI96ABOeMf7wfwe+NA6Pa/i6fOg145rzYz5aSq5f6VEO/PNrr72mV199Va1WK5Ty\nnCR3AnT/5vZHuoP16PBimM9HsmA0GiUm2wMYjvAACOEh1olyCWrj9vf3df369UAIu/fD9cgikX6H\noPfOo/GdX2u1WqEC3ufC+tpjsUcnJeeZegkIZDWKVyqVEqGsW0gUCOVzzwBFjgHQZ3j4UtbO32Vy\nTO5Yt33LSw8rIf7RBXbAQvfg7RwEvWgdB8CnTNXrde3t7YX6M2nOc3nWFJoFMPNyF1+EFt2JwSkO\nQz2Udn0EXKV5mBlnZqnDKxaLiWSFe3/UoDoN45HSSRQOSaCXX35Zr732Wig+Pk3u+8wINoF24pyV\nFSD+sV54MLworq9nnFACpnEBdHhzbmF8RgOb19DZTEuL5yJ6+j+fzwegc6tIGO7hI4rqU8IQ6u3c\nUlFRj1K6QvlUG97HQwKfLcH/nc90r9ZD+Myju3fCDB9W3CU8bDabga+FG/P6N4yqG1YiAa8RjamK\ntbW1xEyMer2ug4ODAB4bGxuqVCpheqCk4GlinCUFPYdSAZTw7Bgj6Av/8+XWuGan00l4gQCWFzoD\nrPzfZ3hgEHheT/S5N4dwnVqtppdffjnUxBYKhTNLp+470DHZmEHo+ynAl/E/aR6u5vP50NAxGcl1\nms1mADtQ3YlSwlBIYFaK8C3jnJhlFVeAYzQaJUJuns8XIXSgQ6HilDzV214Zj0fI83mNHYPIs15O\n7MYlKD5AADfuBbBnHt29FYwlbY2njbGFk8XTwqOTFDKtDHRCWGnufY3H4xCeViqVkEmtVCpha070\nEMAsl8uBBpEU+EJ3GEjGMYOC/21sbISQ2qeQbWxsqFqt6vDwMAAj4ETk414coSrXol2IKrx6AWBD\nL13X+elJDQD25s2b+upXv6qjo6NgSDw7nSb3Hei8BIMpMzG/IM13F/fw1S2Bvyx8CAW6h4eHiSWZ\naOxyuRzcX0JnFjb0ZaCRarWqnZ2d4J2hyGSsAGAmctPwAB3TWpybQMEpknRSdWlpSa1WK7HYJ4DE\n/33KW1zwSVjMwHBLTTjh2d8M6O6d1Go13bx5MxhLNknCwODZoI/r6+uJDDk64uUi6I40A0MSGaVS\nKYyXXq+nV155RdevX9frr78eIhnKU7a3t0PIymrEPO/S0pKq1WrwgA4PD4PBv3r1qqrVaog2AOzt\n7W1tbGyoUCio2WyGkpZcLhcWnc3lZpu6M35Y7j2eew3YeUiNDvN7nJBwD3c8HqvT6ej69et6/vnn\nQ2KPdj9N7jvQwRVgRbrdbiI8BbzoZLwSz1xK80bCFR6Pxzo8PAwbcDiXxX3xsvD+8ORYZ8sJewqE\nfe0vaUbmYvlwyQFvSeFaPC+dlsvlQjYon8+HzKtnyKS5Z+BzJV2x+c6XusIblBSUkgHGe9NuTgNk\noeu9E7J9eG8YEmaj4JFJCqVLZCAxTD42pHn2n0y8T/1zD2lzc1MPPPCArl+/roODA9Xr9cA3s/kT\n97l48aKq1WowfMViMTzP2tqa2u22hsOhNjc3VS6Xw/2JvKrVagBHCu+JODY2NgLQV6tVbW1t6cKF\nC4Em8mSY0zBQNDgLhNUx0PE3Y7/dbuvg4EBHR0dhvT0kLdR1eUMW3qSDmYrkhbKgsU/3cCD0Ugus\nIYoFP0KIKM09Q1xkpukwK4LwdTKZhNA5l5utxLqzs6MHHnhAo9FsmWxmOqAkLGkNYHjYyzN5OYkX\nZ+IRsnYYYEe7UNkNkLkH5+9FnROgxhI/khJAyj1dWTKP7t5Jo9EINaH0LQkJn3YlzXgxjJf3L4bd\nueIOVtQAACAASURBVFsn6j0pUCwWQykIM26q1apu3boVaked1mEpJFYdwRlw3g/dpcbTy148CmCh\nWfaxoB61Wq0G4Nre3tbW1pa2trYSmWSu4aUwJBc9UeYcNM8IHjAe4SXb7XYY47FDdJLcd6Db29sL\nxCXEuC83TegFULEKiFdtw3fwf8AOHg5F804GyEgewKVMJpOQGdve3g5W9dq1a3rLW96iK1euhCWt\ny+VyUEosVrVaTWS1tra2VKvV1Gw2Q7kLgBonCXDvPayVFEAbQIX/AyS9Jon3lBR+B/h4P7wAPAza\nJPPo7p1AQ6C7kPjwWz5gAZHNzc2wmbuHamn1Y4Cb883owsrKijY3N7W0NFsnbnd3N+hdq9VSpVIJ\nHhP7RxBejsfjRJjsG04zpkh6UISfy+X0h3/4h2q1WiFR5lO3VldXtbW1FSIi+LfTvCyMAmDoEZ1n\nf4niGo2Gjo6OwoZBjG3aLi63imVRoPuapIaksaShpPdqweVsyIow2NyddQ7OuSvPXvr/vZZNUthz\nVUrOsiDz2Gw2QzKB+qVqtaper6fV1VXt7u6qWq1qY2ND165d05UrV7S7u6uDgwNVq1Vtbm5qNJrt\nAVGtVnXhwgVduHAhuNqrq6uhA/b29sK7NpvNY7M5CoWCyuWyNjc3w+5McGg8NwMFY+Dpd58XCEeC\nR4qyeJEw52FMvPYvkyBf013qta/3hl56gooyJq/J9IgFesHLoaT5NKd49gJekEcrhLfoAgsCVKvV\nxF6vXq4BV873nqjiPniljFc8Lt+gB+/U187z6W9eERB7aDgrbnydpvExjzdJyOpT6aBwOO80WRTo\npprNBzy07xZazoY9J73h3KJ5EaCTloPBILE3Jh6gp+ZpXNxhCHwyvWRB4fEAr16vp/X1dW1tbenq\n1au6fPmyLl++rN3dXW1uboYMF0DHfR544AFdvnw5zBldXV1Vs9lUqVQKzzSdTnV0dBQsKEoLyFar\n1VBbNZ1OE4kOwgTKV8igAdy8J4OMsInBFZeh8NMTGpkk5K71GsPjtV5OqsdzTJ1OgAvjf14T6WVG\nXgSMl+PjwEuuiBDI0I7HY9Xr9RBdAI7UtaILeP1kbz2imE6nATApZvdFKdBxgC8unfFQHC6TdvL5\n59Lx/Zwx4J1OJ2zk3Ww2g/H3WSTOzZ8kdxK6xrC50HI2uPYMYKyDF0X6RGcKaj0DSyM4IPq6XWzw\nO51OwyohdBhzXvHMqOujUVlNAf4DpYFjefjhh7WxsaGjo6NgLQmjV1dXg4KgROvr69rZ2VEulwsZ\nMHg5MqvSHMypa4LTyOVm8x57vZ6q1WpimSUGAwMopgG8/AZLjSJkcqLclV67uOfs/TCdToOubW1t\nJcCAAeslSowLaj/Re4T/xeEuzyDN50KzYCbPhhdXKBQSDgcRj4O0JwpJXPgeFowTvDkMupTcxwFx\nY0tk4QuR4mlyLu/GZt63bt1KJATvRp/vxKP715q5+P+TpH+gBZezcR6OwSfN+SUa1kNSBLLXyU3i\ncqwPtUqVSiWEgtvb26EejoJfXF5PAEC6UtDMs2IF4WHIILHpCMW/1CIBQsyVpSZuc3MzFIv6XEHC\nVHg8wD/eoASF9gp8rLHXZPFBAeMEhCd0MknIXeu1h6FSMmnmBbQkBSj5IQPvVATnesjK4g/uNdJ/\ncRG9NOcMPengtaRelOshKdy4R1och05xLfSYcedLP9EmsQD6TlfFZSOMiTjEbzQaqtVqajQaIYqJ\n6w7vdej6pKQbknY1c+ufi/tdJyxng0VxFKcBPEvoiuLeG16SJxtiF5npMJRkXL58WZubm1peXg6J\nCK49Hs9WDqbx+JnP57W5uakLFy4EPhFA6/V6Ojg4CIDm4NFqtcK2doSnTiD7ZGbOceXwbCr1hXS8\nc2sOkAAdgO370TrYOQhmBcOpctd67WVRklLpGDeeAFuxWFStVtNoNApGGmNGVOCFxjHf6skKz8oz\nc8F1B93zOdiSwmICGEIAD5CD/3IOjLEGEHNNH4snAZ1PsfRSmrg9pfnKzZ1OR0dHR2H1YO7NMbzP\nSdeLZVGgu3H7576kf64ZabvQcjYHBwcqFAo6OjrSdDrVgw8+GMDBS0qweKzfBRHJwGWgrq+vJwYs\nbj4rRUgKO5O7O+2zEiBWfXdvnmF/fz8AAwAIiOVyuVBgCWhRdEy4zCe2gJ455X8Q0ii6dxqdCF9C\nGAIookAUGTNQIK2lGW3wyiuv6NVXX832jEiXu9brWq2myWQS1hl07wQj7gYJoKtWq8FAkizwWslu\nt5tYmJU+p7jYARUnAd1neTL3tKCMXBd9No2UXIlHms9x9VATnfRzpLkjg/BcTjd5JOHJCQ9TJYX2\nZFXyWq2WqLt1zxHcoL7uXgBdUbMNRJqSSpL+tKSfkPSrWmA5m+3t7eCVsXkHvEC1Wg2ABgjQiHgr\ncFq+/LI3NpwBuyXxu9cwAQ7SfOOSUqmUmK+KV0QmyOvOqBvyjLDzJL5Cqk//AtDcNcfrkhT4SC9c\njq0ybbO6uhq8N+6JB0iiwpMRPGuxWAzlByw1lYmkc+p1pVIJpTyQ9m6gvFKAvsjn82HGDvO16U9C\nSoAJbvckjto9KDwcQCwuKG82mwmOTZqDBQaW53UAca4XsPHMvgOZ/40OO/jERtzLT7gGXiQL57LK\nkLdBDPKTySQUMGM40mQRoHtAM2vH8f+rpP9bs52TzlzOhpfweZ90JllNOgJ3lDQ1HQ44wlkAQF5x\n7mvI+ZpzNAzHw/eRnfVGjjPD3AfvybOfHmKjbGmZJucVpOT+FsxPHI/HajQaCQ6SZyFjViwW1ev1\nVKvVApADdAyImM8bjeZb8vFemQQ5l16jQ9Rs8p0PRsTDP0lhkQm8cQYoGXXKnyjkdU8uLUTGk6RO\nc39/Pyzr5GEmzoBTJx5e+4opGHyPpAA7L4XhGvyOkxLrvXu4jA8P+50DpzDZAZRrEJnFs6u41kmy\nCNC9JOk9Kd8vvFQTHdzv93Xr1q3Q0awd79aJMNPddUfqTqcTOo5dxciU4sbDhwFMhJcopJd08L2T\nuN4RrrQ0tJOpABzHkbzw96ETPKRB4GXK5XIo0iT0wCAQwvrz4zE6oPuqKkz4xjJnU8COybn12oHH\nB2QcRgGK6BtRx8bGRtiRDsPHSiEYMZISfs849ET3MN7r6+tBDyiv8oRCvFCGNOedMbbOB/oCm+6F\nuXfnISpjxDPEJ3F4/oyE83HCzdsVvjumes6S+z4zAmEg9vv9QNozb87rbhx8cLPJkErzmRN4MQCJ\nE7luIRj8/B/ghEh2VzjODAMkKBYeFp3miYW40XnemI/wWkBkeXk5lJKweQ9AR2hDIgQvAu7Cyxqw\nvmSOfRl5vs/k3okP4jRw42fs3UO5bGxshD4myYY+kcyibi0O8zzicO52dXU1zL4gDIXndcrHn8/p\njjjEjFcixhnwkNWzzO5hTqfzjW083PZQmVlT8cypNCDN5XLBkcGT9uc/Td6QSf1Sck4rIFSr1RIT\n2Am1OM4VhJfHc8Oj84QD32ORmBkxHA5VLpeVz+cT8+sACLydOIO5vr4eplD5qsROtvpPnz8ISHrH\nunfnfJwvmEgojxvPs8RlNZICMLbb7QDQ/ryAJvddRCEyWVwcGBjYDn7OJ3sRLkZXUphmeHR0FBJd\nniH3fR/QLcYFnk9MsXg2V0rWzqFPzslxrk814xlJdHiCxHk2QNdLp2iP2HnBOXBHpNlshsoHB2MX\n57YBOq/H/boAOufA4N9YTQRi3C2Cd4QjOt87QRuvNIIyeFiaZqU85icB4fP76Di4QerqeNY4u8pP\n/g94EkKf1CH+jvCN8CTT6TSE3VgwaQ6QhLOEt1g4r3SPFz1MCx0yuTs5qS1jXeO72PtDj5hZQEGs\nT1jHs/dwM+bJKIFy8MLgk4wiCoj1xIHFwc0TaR5CO7cXe1Kxx+qA7Ek3PEz2XSYhA9Ahnqzw73zs\nfl2Frgx0eLJCoRAmC0OMkrnCQtD4WD8so4ef7jZLSS/LrRreIR9fmQHwIUHCQp54h6PRKGy44xlV\nt65xVTgcI8/j04D8fs7p8Z5M4fE6PsJuBzpA35MOPvfSwxu/Txa63ntxoywlPTvp+A538bmEhsVi\nMXjmnnEHcDyScf1jbLm3xHHQRGtra2FKpW+c49wyToSv6Ug2l7+9oD0OyRF3BBiLcXUBEQcLZ0rz\ngmUPqZ0SkuYeoWOE/+80ue9A540BSU4Hxyv30oBkNgk3KX70zArX4vvYK2RQe9EkHYsiYVl8FQUA\n1Xmu8XgcFAywBNBoYN7DwczfDbD2d/BndYvsltWfV0paMq6HF+uARk2W85RpYUEmdycYGvoCY5UG\nfO6FxKUXhGPFYjFRiA6Fc3BwkOCpSDi4t4VnhifPStnMwSaiAmAAOq8ucL3zomV+93m3gJyHsS6M\nEwd7B7hGo6F6vZ5YrsoNRByFTafTMI55R09W8OynyRuSjHClICQjjVytVkPDE4p6ehoUJ2TlepLC\nCwNkUjKNjZfEOYR7lJIABCyt41OpSJ5Qce4EKj/7/X5ib1dJiQRHTKbSmZ6Y8MxqzH9wPedCPKtL\n9hVg5f+8n68YcxL/kcndiferJyP4GWfx3cvGMDtg+MIXzhvXarWEB8UYAXy8/ISi5Mlkkthdjv8z\n7jB88awZ9INr+wrJcY1oXMDrPwmvvULBxzwhq1cfnOTxIu69eqkUbXuWvCHJCLI/dKqkQMAWi0VV\nKpUwsd4nM8cV2Z6e5xq8tHMEDnLu5TH4Ifo92wM52u12wywIlAKgdSABaBy8uBf3BZTc40JpPTvK\nogOsEOFWGCD17Nnm5mbIVrFUDx4kx/GucXFzJvdO8DDwrOPEU1zr5cYo5rN87qiHeXDGUDBMhySs\n9BpKdBAwjb0wn3PuBt8TFcPhMJGEiEtR4tDUS62c7/Nxyyrd9Xpdh4eHwauM58n6eW44eK84Yejt\nexZPtyjQbUr6XyQ9qtncv++T9IIWWLfLPSGP6yeTSeDptre3w07nvvAmJRRUQAMoiIeibvX8PnSe\nNOe3aCwaDo8K5YTg5RzfFERSItHA9fDGUHieycs64no67u+LNcbcHQYCRaWA2K04KXnnX8hSuyeY\nyTG5a72OB6Lzoz5QXV/jpJB7dE7+e3Ew+ocBxchzj3g+NYYvbUzgOTqvy7G+AIQ0n1rpURXCOzEO\nPKKApsFRYVvSw8PDsMo3jkIc9Tj4ext5lQH1od4GaYmLWBYFuv9B0v8h6T+/fU5J0ke1wLpdcbbP\nH5zMa61WC0swD4fDsBIJhZO8hFtHruX3iK2oryzBsYBTXEjryYpms6nxeBxS9HSMAw7K6XMB4wyn\nA1VcjsJ7OFi5F+iJDd4FoAOICa/xSr0OifMcNDM5Jnet1w50sTeRVqeWxj25QY6BzrOi4/E4zOck\nqwqYeKlVzFc7OEnzqWIAm5eSuCH02QfosJe8cG3PJjOu/L5M52I9OVYRwulJC/vTgI7nG41GYbWg\n+P9nySJAtyHpac3m/UnSSFJdd7huFy8zHA7DBPjpdKp2u639/f2w6q6XjzixTgMCXt7IWA9cbq7t\npR1ra2uJ0hX3tLCKHi67ohGmeqM7/4fSxDVD0nxVCwdgbxMHT0CPEIXZEszx9fpAnrHdboel3/Hk\n0pZNz4DumJxLr52u8CRTrAOeuPI6Oj7uQQF26AB8m9McXjLiXJ1nWJ0b5DmQGNQ8HHX9dq8y/p53\n4XevSeX4yWSidrutw8ND7e3tHdPJGPABvZgKcgeFudpsO+B01ln6vQjQPazZ6g7/SNLjkn5P0n+j\nBdft8gYmGcByNbiht27d0tbWVsgUAWx4Q9LcTfaNYIjTfZ16bzTui2tPiMlnOByGFU9QHI6JMzuu\nPCiBV327osbELR3hIaxflxDb+RXnIdltiv8xYJgY3mg0wiDg4yU6sVediaRz6rVnT50Xjjkm+lGa\nG+eT9NRXvIn70ueJ7+/vh/FUKpXC4rOMHwqM3TNCPJJxzzFOpqCvcRgN3YK+pkVHfE+0xsZPHkrz\nzmncWgxeOBrUtGL4/ZnvBdAtSXpC0l+X9FlJP63jFu7Edbt4EGm+LwJTnigaPDw81M2bN1WpVHTh\nwgV1Op3gNkOo4q2wjDmenu+OFBPCrnySghLBU6CsngVjSRvPnhLS0gE+S0FSqCh3cthLWtxjwysF\nAGOgQ2IOj2u6F+md74mH0CnT44WqmQQ5l17HGUN+xhwx/eHenxtMBzpPSni4CCWDHh0eHob/se+q\nZ1JJavkyTxjK2FtzXs6jJu7lITc6CafsYS3jkefq9/va398P+7Wktc1JQBdz3ZTbNJvNYxUKtNtZ\nC1YsAnSv3v589vbf/7ukv6XZel1nrtt1dHQ0v9ltL4oduGh8wq/Dw8NQRIgb7uuoeePTmN6ZZCW9\nIaXkuvys4oByeYjpmSoakVB4MpmETBQZIwfOjY2NoFxweMViMSiCL//kQAjYYsU93KGKnf+jWIQ0\nZItRVrxQD9+pO8rkmJxLr+HMXG9icl2a65hnXNOIdgyqz3ONKRb0ZjqdLQb7+uuvhwqC7e3tBC/c\n7XaPRQ7uDDg/7OVHeI8xCBGOosu+So4Dnc/W8Z33PLR3gJJ0zMv1e/I+VEi440FSkSjnNFkE6F6X\n9IqkRyT9gWYrO3z59ufMdbuo58nlcmGaVaFQCMDQ6XTCXo0HBwfa398PixO++OKLevvb3x4GL2GA\nu8lUewMwkLXLy8v6/Oc/r8cffzx4SyQdPNT1OiIUhd9v3bqlixcvBjAuFAoqlUoBDKloZ49LlBAL\n+cILL+jhhx8+plCQyH4vvFY4mPF4rD/4gz8IWzLSmVzbnzsmrxkwPLO7+RnoBTmXXlPke1KNog9m\n96AwZi+99JLe+ta3Skru0uUZWOd2ndsbj8c6ODjQxsZG0C0AhnHlKwp7kg6ge+655/Qt3/ItiemC\nPKdHOe55USoyGo301a9+VVevXj02Zxzw8QUlvD3y+bxu3rypy5cvJ9rLw1UPWQnXSbhJ8+Si1/r5\nNM00WTTr+kOarde1IumrmqXhC1pg3a5erxemSdFY+Xw+UVaCZTo8PNSNGzcCID377LO6dOmSOp1O\n2N0ol8uFTpEUljUCLIbDYdgg53d+53f08MMPq9PpJKwUFgHw87olspfD4VC3bt3StWvXNBrN1q+X\nlKgWL5fLKpfL4X5wkCj1c889p4ceeugYh+HPgTIAumzwPRwO9dJLL4VsmmfvqH9yi+9KhVJTikKb\nZ6HrMblrvR4MBiqVSonElw9Q99Y8M8lxDnRSEgjQVWm+UCxT/DBajUZDGxsbIdN+eHio7e1tXbp0\nKbErF+LXlKTPfe5z2traSoSGGE7PBGMopTldMplM9Pzzz4cFROPyLS9nSqs22N/f15UrV45RTG4U\n8HypJfS9Wjykp+3PKp9aFOh+X9K3pXy/0LpdiD9UoVDQ1taWLly4oK2trcC/Xb9+PYR9AA/u6Xg8\nDuUffOeuLuEf3NhwOAxV2F5vRGN5sTCg56UeeJHcyzk5PFWeC7DxnblIJDj/5u44JCt8B6GBr0Hn\nyzS5G+/zYZ1vXFlZ0cbGRggtsiTEqXIuvY7DLL5LK5uQkkDhPJQ0T1B5kTkg42DjobHTNr1eT0dH\nR4Fi8eJ7z6pKM+BtNpt6/fXXE9UQHjHwfA5Q0EWSAj/smVmeJQaweCECbyfuFXPrHoKzpDptE3N+\ncRlNmrxhyzQh3gClUkmVSkWVSkUHBwfBq9ve3g7cHOGcLzkNLwGgEUZiMcnKAApkJH0LOKakABRe\nzsL5JCXgYTyEINvrXpXPw+M5UGzPOHko46s2ONfI+XByvrJx2vQunpH1yOAzsozr/RUfrKd5zF6y\n5B6fJ7w8bPSPJzYc6Dz5Nh6PA/GPHsS1dZwHgBweHibmpTr9ISkBjtIc6BhbjEnn4Lxd/D3TDEHa\n8e6Zcb9Wq5WoZaU9nYN/s+U3Nc9cZZ+vj89vntJfmSwmv6k3vx+zT6bbmWSSSSaZZJJJJplkkkkm\nmWSSSSaZZJKJpO+U9Jxmy9782ALH/0PN5hZ+0b7b1mwliT/QbM/NzVPOf0jSb2hW8PklSf/1HVxj\nTdKnJX1e0lckfewu7i/NarA+J+lf3MX5X5P0hdvnf+Yuzt/UrLr/2dvv8O138fyZLCZvpG6fR6+l\nTLfvqxQk/aGkt0pa1qyR33nGOU9L+hNKKsMzkn709u8/JuknTzn/kub7dJYlPX/7noteo3j755Kk\n/0/SU3d4f0n6Yc0KUH/1Lp7/Jc06z+VOzv8nkv7L278vabY6x50+fyZnyxut2+fVaynT7fsm75P0\nf9nfqWt6pchblVSG5zRfPeLS7b8XlV/WrPDzTq9R1Gz+46N3eO5VSf9a0p/U3OrdyfkvSdqJvlv0\n/A1JL6Z8f572yyRd3mzdvlu9lr6JdfvsFevuTh7UbB4h8urt7+5U7mgpKJO3amZBP30H18hrZp33\nNA8V7uT+H5f0I5K8evFOzp9qpky/K+n77/B8X3Lo30v6B5otInm37ZfJyfJm6vZbded6LWW6fd+A\nbnqfrrnIdcuSfknS35DUvINrTDQLEa5K+oBm1mvRc79Ls1UuPifppPL4s57/Sc2U+M9K+kHNwp1F\nz2fJob9/+2dbd7iUViYLy5ul23er11Km2/cN6F7TjERFHtLM8t2p7GnmlkqnLJljsqyZMvxTzVed\nuNNr1CX9K0nfegfnvl+zlWlfkvTPJP1Ht5/hTu594/bPfUn/XNJ77+D8tCWHntB8yaFF7p/JYvJm\n6Pa90Gvpm1i37xfQ/a6kt2vmaq9I+kuak5h3Ir+q+VLXf1UnLJlzW3KSflazrMxP3+E1LmietVmX\n9Kc0s2CL3v/HNVP4hyV9t6Rfl/S9d3B+UVLl9u8lSX9aMz5n0fN9ySFpvuTQv1jw/EwWlzdat8+j\n11Km2/dd/qxmGaI/1GxBw7Pkn0m6Lmmg2Yt9n2aZmn+txVLIT2nmon9es478nGZlAItc492axf+f\n1ywN/iO3v7+T+yMf1FzxFz3/4dv3/rxmJQS0153c/3HNrN7vS/qUZiTu3Tx/JmfLG6nb59FrKdPt\nTDLJJJNMMskkk0wyySSTTDLJJJNMMsnkG0DudM5fJpn8hyCZXmcS5G7m/GWSyde7ZHr9DSjnqaN7\nr2YK8TVJQ0m/IOnP34NnyiSTN1Myvf4GlPMA3Zlz/h577LE3ew357BN9tra2psrkNDlTr9/xjne8\n6f2YfY5//tgf+2Mn6vZ5dgE7c8B84Qtf0Lvf/W49+uijWlpa0rd+67fqO77jO8KO9ysrK4mNddkt\niM8zzzyjH/3R2Uos7IDE1mb8zg7knMOOSZL0sY99TD/yIz8Sdg/yHcJ8Kzq2P4x36/rpn/5p/fAP\n/3Biv052auIc39UsNMzt4z7xiU/or/21v5bYpZ0tDdkS0Tf6ZcvE4XCoXC6nT33qU/qLf/EvhvPi\n/S7ZBazf76vb7arZbKrT6WgymajVaukzn/mMptOpDg4ONJlMVC6XdePGDWVyqpyp188//7weffRR\nvfe971U+n9cTTzyhJ554IugiO2vFe6P6/37qp35KP/qjP5rQd9/tS9KxLQLDA06n+nt/7+/pox/9\naPg73lnLx0q8A5ekMLbiHb/8WN8u03cfY2x+5CPJKadpO375//zZP/KRj4Rx5Puy+jaG3g6+BeIz\nzzyjH/uxH9Pv/M7v6N/9u38nSdrb29M//sf/+MQ+Ow/QLTTn793vfre+93u/N+ys7Rv08lIAVSy+\n/VkMKL6VWrydm4MYv8fnxffxPS/prHifSu+EXC6ntbW1xHaF3pm+JZ2ksO+q7+Xp2yey1yedCTgO\nBoPEbulsm8e1/bpsrD0YDLS0tKSVlRVtbm6qUCio0Whoa2srA7qzZSG9fvzxx/X93//9CQMnzfUU\nvXXDyPfx/qbxuVL69on+N7oS/y/+Lt5j1oErNuB+T4xqfN/4HP8+Hn+It5GPK8THyHA41NLSUti0\nPe2e/HzyySf19NNPK5/P63Of+9x9Azqf83ddszl/fzntQDaWZlDHoIQipEmaRXGJdzaPQc73yzxt\nj1ksS9p9aFz3FgHoeK9N7s13gLiDIZ3ox/nAwLuUFKzd8vJy4r38vX2T4qWlpQB0S0tLKpfLarfb\nqtfr6vV6Z3RpJlpQr9MG9Un6lQYoMcBJOgYsaUY5vnbac6VtDH3WnrP+jGnXT9t82jeO9qjJj00z\nBP676zNAJynVM0zzWDn/rL1dzwN0I0l/XdKvaZap+lnNljpOyLve9a6wu7aUHKgxOCD8/v73vz/x\nnXtIiANnfJ0PfvCDiZDYQS1WQEnhGQGNp556Kvw/tsTujcbPzbXf//73B6ADFKXkruz+PnhzeL5/\n/I//8WBZPbTh+RzA07zbK1euqFQqqd1uK5/PB7DN5FRZSK8fe+yxhGcuJTdV5m8X9+re9773he8k\nJQAQnYoNtB/75JNPJga3A+9JTgPHTafTcL47Gm74/Vo8h7/T+973vuAYOJDGz+pOCM/+9NNPB/3l\nHKITKBynpGJAfPLJJ8O13EE4TU6G+Xsj03/5L/+lKpVKcEkrlYrW1ta0uroa+Ap4uhj9YwsXKxLi\nYfBZFtCtnH+PNRkMBlpeXg6NPBgMAp/GszrfQpgZK5e75+PxWL1e75jXxnXp4MFgEHg3rjsYDBKW\ny0MLdmfvdrsaDAbqdrvqdrtqt9vh2oPBQAcHB3rppZfU7/f1R3/0R9L97/dvdJn+2q/9mkql0jFu\nOaZm0BW8eDdWaUY3n8+HYz2KSPMA0wBGmkcgeDqn6X3sqaHnnJsWsaRxxv5ODna8j7dJ/B7u0XW7\n3WPt4E4G44r7Qtl8+tOf1nd+53dKJ+j2eTy6hcW9jbTw060If5/kNruVcyuY5i77se5mx88Qdz7P\nyTPHIa0rs1sd7zh/Nr8mz8V14uM4H+VeXl4OSpBmPeN28nebTqdaXV1VtVrVhQsXtLe3p0zuoiRH\nggAAIABJREFUjXgfuwGOObk0sHGeyTlgaa67zt+eFv6l6bKDj3+fFpbGYa6/kz+jC0YYYxuPX8YG\n1yoUClpZWQmA5/ekzRhHq6urieRE/Izx+/Cug8Hg1P6670DnDR5nVd3Cxed4Z7oyEO45cCB+vTQP\nL43XcAWLs7FYY2/o2Fo5KPnzxqBNiBpbo1iZUDCyr94+rgC4+GkK6+9cKBRUKpV05coV1Wq1M/sr\nk8XE+wlwQy/jvpSSfB3nxH1HX49Go0S/x5RNbBC5N//zCMM5LH+GeBzEmU3OJeJIi3x4D08YSgqA\n5kC3traWSDBIczxwz2xtbS2E7vG7xODm79jpdE7trzcE6FwR0kJLt44OTjRinH52Tip+4fj6sTXy\nY9w9l+YhMM/rDX6SRYw9Ue9099TS3iUtKeMgHneyD47xeByALq0N4uuifJncG4n72vsm9qwRQKLd\nbif44LivPJpICw3RLadQyL7HHmQMdJKOAQXfuY7ybKPRSIPBIBjW0WikXq+nfr+vfr8fqB2Abzwe\nh1Cdd3CgQwf9HXmv1dVVbWxsqFKpaH19Pei/A63/7WOPkPckue9Ah0Xw2iIHMn+BNNBwjiyfz2tl\nZSXVSkrHQYz7x6FjHG6khYy5XC54c/yMG5xsqKfHeQ/3vAAld/kRB21kOp3X6LnX5grMNdMydX5d\nt8JpRiaTuxPnsmI6ITbA0qxf+v2+2u22Dg8PE2UUMWEvKYR7cLR8h1fkAELyijGWBroxULguSf9/\ne28aI2uW3nn9I3KLfcn9blX3VpW7u9pud1WXa1peBjxoxvaYgS9GwAcsZCw+sRhGGM8MEtJ8QBh/\nGQMSCAbPaLBaFgh7bONB0GOgrUZeuttu2+2xq/fqvkvmzcyIjC0jIpeI4EPc34n/ezIyM/JuPVLF\nI4UyMzLifc97znOe5f8sR4nvwHOpVCrkaZ6cnIRXt9sNr6OjI3W7XXU6HXW73ZAOtbS0pHw+r+Xl\nZS0sLGhlZUXLy8taXl5O8PzS0pJWVlY0Go2UyWS0sbGhdDqtfD4fxu35qi6Mee7hcPidt+jYlBdp\nPISDY1FsYtcS7irEOAaLF7upvmCeZwaT8DkmcJpLzYuAiVtlPtmeEMz1eIZ+vx+YwFNHuD/PEoO/\nRGq5tgdFLnJ73DKUFMZwFYYxp+sRaxXncLpryhpg8TQaDR0eHqrdbgeeh+9jjwaeRsjA93yePMly\nuaxSqaRsNqtsNqtMJnNOecZKcNp+dCXuXg7BrV6vFyy5VquldrutZrMZfu90OiEohrJfWVkJAi6T\nyYSXB/T4/2g00vLyslqtVtjL5XI58LLvOTcWzs7OdHx8fCX+/MIFXaxhYmJBl5aWEsKByCMP5BgX\nixJbTW7l8PLAwcrKirLZbGAwJthdkNhikxSEjt/XQWfGEJv/p6enQcgdHR0Fc98XC4ZcWVk5dw23\nUP26sTvrmCDjjZXAPLXk+dI0vMsFnX/u+PhYjUZDjUZDzWZTx8fHSqVSCXD+5OQkoWDhHXcRuYfj\nWdVqVZVKJQi8UqkUhAfKOfYYHPJgjM53/ne321W73Q6WW7fbVbPZDEK71Wqp1WqF6D/Wl6QgyKiE\nItvC959beUtLS2q1WkFQDgYDFQqFMK+u9PnM6empDg8Ptbd3+dlAL0XQxe5oDL47Vobl44BoHK1F\nIPZ6vbBgbk5j6sMMy8vLGgwGWllZUbFYDBOfzWYDMzhNi+S4FeXuMC51jMGhxWGUbrerfr8f3uMZ\n3dKMgxuuZRmDlGRUFEIcEHEMh/FNS82Z09ORb0Z4wOea9W+1Wjo8PNTBwUGwdiD4HtzLoZzT09Ng\nIeG+ck1c3kwmo0KhoGKxqHK5rPX1dW1sbGh1dVWFQiEodSKe0wIo8Jm/eL6zs7OgpJvNZrDcEHSN\nRiNYco7XuUssTdKp+v1+EMCxoMPSa7VaYT6Ojo5048YNra+vJ/aWGwi9Xk/7+/va39+/dL1mEXT/\nQNK/rPFxYh978t6qpP9F0qsad3n41yVdGNJzIRVrQcfiWEwHQ2O3wK2+VqsVNjpa5fj4OAihbDar\n09NTZTKZc8zJYpDPF5v1kkKWNhadpBAN5fswEHlxCDDwGBik3++HV7fbTQgof0YsTxjCGcYxRc/f\nc+ZlvP68c0F3IT01b8NXMVwyHA7V7/cTAqHT6ajf7welBg/B6/CLQxoIHXgMHnXMLp1Oq91uB15z\n3GxtbU2VSkW5XC7wiGPJ7g15oMG9I4QTyrnT6YT7MF7Pd8Mr471cLhcwOryqeP97mSN7qt/v6/Dw\nUIuLi+r3+2o2m8EtX1lZSRgEJycnOjg4UKfTuXShZxF0/1DSfyvpf7b3/pakfyrpFzRuTPi3dP5Q\n2UC+QWNrzjVJHAH1qGe8IL1eT41GIwiPVqulXq8XmGB5eTlhZXkJFdf34EcsiCUFq9LdZpiUcWJ2\no4VwN8A2YHRP6O31egkX2+8JEFsoFFQoFBIpBvzfMYsYYHaCcbAc5sGIc/TUvE0kMg6wOW/u7++r\n3W7r9PQ0WC1LS0th/WMIg82OJb68vCxpYih0u92A26ZSqeCpkGQeB70cq8NQQOm5x4DFhacAj+M2\nw8+8/NlxRSGHiMrlcsCwua8nxcf8D26Jh7a/v69ut6taraa1tTWtrq5qfX09CE9J6vf7qtfrzyXq\n+lmN6/6c/lWNjz6TpH8k6TPTmEE6j2WwGDAI2iyTySRSUFziO/4GY/T7/SBMEDBYU/59BN3i4qKy\n2ew5wJeFjsP3jH3aZ9GqCwsL4X48Bxq13W4HoPbo6CgRreL7nqPEs2PF+d+4RO5mSMk8JN80Pt+4\nEx6gmFOgp+ZtNjvWlqSEp0EKCS4aVjqKC4vHMVeIjex8Jyl0qEGhLS0tBcWK14FF1Ol0VCgUAkYW\np3a58RDzou9VrsX+As4BX0SYEj3N5XLK5XIqFAoqlUoJyMcFnaes8N5wOEwYDlh7eEy9Xk9LS0uq\nVCqhKqnX6+nw8PCFJQxvaXzStp783Lrog9PAfQfHXftMs/w8+uogpIfYcQniiCfXIJSPxpoWuMBV\njGtX3e2GYtDWzXx3WZrNZgKk7fV6CbeVefFoGgINwck4mDe3Jn0zxGAy84g7PW1DzWkqzcTbbFS3\nmHGz6vW6jo6OQt0yAgBBFFvxzvuSgvBEkfL5Xq+nUqmUEDYIjRjLZe15eVmjJ6BfBCUhZDAo+v1+\ngGwcj8TyzGazyufzKpVKyufzyufzyuVyiYiue2QoZfY3Xo/j9VA6nQ7zWalUwr0QxC78L6LnEYwY\nPXlNpU996lNBGL3zzjv6vu/7vnOYgJOHkV3aY8UwsYuLi6G3HFqTBWFRePX7fS0tLQUBg2bKZDJT\n89okJSy8OKmTz7mVxX3a7bYODw91eHgYXGsEtVue8fPgBmQymURaAqY893Bmi8vKprnCDx480IMH\nD+YpJk9HF/L2r/3arwXX7J133tH3fM/3qNPp6ODgQHt7ezo7OwsCjmAB6xqnAcXWm/ewcyXf7/eV\nz+fV7XY1Go1CpD7eM3gw7kEBY8SpSXF0P7bm4j3l5ZEERLLZrIrFYnhO8DSyGjwPjnG4sD07Owt5\neBgEx8fHQZBms1l1Oh0dHx+rXq+rUqkonU7rs5/9rH7jN35DX/nKV/Tw4cNLF/JpBd1jSduSdiXd\n0BjMnUo/+ZM/mdjMsQuLkJq2CUma9MVJp9PBzQXYjV1bn1TAUwfmcZlpUgke4c0FPDJEVBTQ14FY\nrNFutxuiawcHB8F98SJ9D0DAIKVSSYVCQblcLrgYaGhwmGnJxHESKfPnVoIkbWxshPyko6Mj7e7u\nPuWSf2BoJt7+kR/5Eb322mshWujRQIRaPp8Pm94j/K40pwWd/P8odM8TdeEhTWpLSeeQFJLrXajC\n0+CAwC4O9SD8fJ+SbO7BBE+F8WwAcPKTk5OQWkZU2veWV0QsLS2pWCwGVx7hKilEltlHjtu/++67\nymaz+q3f+i2lUik9evTowkV9WkH3m5L+bUn/1ZOfv37RB90ddRcWq47JI1XEI6BMAosTT3Imk0ks\niEeXYIrDw8NzCb1e1oK1RzRHUmAIz/mB4Yia+nclqdvtql6vq9FohHQSBFtsvbq5jxYsFAqBMek+\nwrNKSlgAjN3nibH7+9Ny8OZ0Jc3E26wPc+oBH1I7isViImfMU5mmCboYz3aowYUawSgXVM4f8U//\nvwsKfz9OVJaSXgKfdYyYvepuab/fD/uLfQcm7wLZhR1jxELkJ5BSPp8P3gz71L1C5uEymkXQ/YrG\n4Oy6xr30/3NJPy/pf5X005qE4KcSD+JmsmsnhIGDtx514u/Yp5fGGAUaBxzM0yiGw2Gw6JxhPEoV\naxgWkPu71gI7I+fJtZmb+QhsZ75p1iZRNOYGiw5mIbIVZ99LSjAcn+P92BV3ZTOnBD01b3u+GUKD\n31GSHoRwa05KrkuMXV/0cjjHvQOELDzgAiVOKfKghfMmyhxvh30FLwO3OCboAs+NAZTqwsJCMA5c\n6caClz2+srKiQqEQStskBYOA+SE3MA6iPA+MbmrXYEl/dYbvJjSOA7eOOXmIHSnugoXUDA+ZM7HD\n4TCUpRDRdNCXkLhHXj3K6vWBXu7iDOtlOjAdjAaD+3O4UHONiHZ3FwR84uTkJAh2AgjeKRir1qO+\nkhI9u5hvt+g8B2su6M7RU/N2vLE8f4x1dEXt1lKs9KRJBREwCorThVz8QrjBw/BIHNyI95+7jd4l\nezAYhLrTfr8fvC3GReYAin44HCqbzSZKKjE6wAXZ43xmcXHx3Hkxw+G4UIAshWKxqEKhEP6/sLAQ\nAhse5XbhSc7rRfRS+tFJyUJ6AgwOzmOyol18go+Pj0N9IFbWaDQuAiYAUKvV1Gq1EtnXhKUJwXMP\nd4kRZAiq09NT7e3tqdvthlpCylAQuliF7XY74ZbGYK80yQdkcfP5fDDp0cxYcO6mE/Hy7HHXYlwb\n7AfG8vQYF67S3KJ7nhSD+HgH8BNr5qlBrrQ9xUia5H16ci4J8a40YyyNe1FihQB2NzUm+DRWgFxT\nUgKW8aAexgDPiwHBfjs7O1O73Q5J8uwN3FGizxT84+FRCTEcDrW+vh7ySZlj+ByLVFLC07mqxPGF\nCzp3/dAyTBYYBWaqNBGIg8G4ey4TlcvlwsTu7++r0WiE1A3wMfLVKpVKqP/LZDIql8shl4yFhFHB\nUlZWVnTnzh2dnJzoS1/6kmq1mpaWlvSRj3xEr7zySgBJGXer1dLDhw/1+PFj1Wq1oAHT6XRIC4mL\nrnFNj46O1Ol0VKvVgjBuNpthEckARzh6N2bmD6yw1+sFpp5mtcURtTk9H5o2lwgGhI5b26RQgN/i\nnWDtsdH5f7vdDv0DCSzwkiapRp1OR8PhMKR0FAqFhCIE3nHL0PE55w0MESwslK7XneOxIPgYM/zK\ns9RqNe3v76vX62k4HIbk916vp62tLW1vbyufz6tYLKpSqSifz2s4HOrhw4dBad++fTvgnG68oDhQ\n5HHS8jR6Kd1L3JTGQjs7O0tYWJie/E61g6SE69jtdvX48WM9evRIe3t7YZMfHh4GtxMBms/ng3vp\n+XaOX8RRn4WFBTWbzVDEj6Ai0kqWOwuKZeqZ3tyHhczn8wnmH41GwV0tFotKpVKhZnBhYUFbW1uJ\nAI2koDk9euU4iQca4pQY6CocY07Xo1iBoIy8dRKCodfrqdVqhZSjGINdXFzU48ePtbu7q+Xl5cDn\n0pj/C4VCUNxY8C5wHDtDYeKpeGt+DzA4L7lHQp4afO6WI8IGQwS+LZVKqlar4T2UMk0A2Ie1Wk2L\ni+MjFRCUrVYrCOjhcHxUZyqVUqVSUbVaTdSD47VIk8AM2RmX0Ut1Xd1Kw+0C/IQo1G2326rX68rl\nciqVSsFio7QGYbexsaGtra2w0Ag6JoDoJ8mMuVwuCDsHXaVJt4X19XX1+33t7++rXq/r7Ows4Afd\nblfFYjEseD6fV7lcDnlAw+EwaKlqtRoYCXC2UCgEBqzVarp165ZOT0/1/vvv6+joSKPRSK+88oqG\nw6G+9a1vaWtrS5VKJVE5gkAmlcA19mg0SjwjwRHGMKfnR55uISnhWnme2PHxsTqdTqgVRfB1Op2A\nBZdKJd2/f19f/epXde/ePZ2dnalWq4UA3enpqbLZbADnWXPcOIQJPOw4r7c781dshCC4l5aWwr3w\nxIBcqNkdDofBkjs7O9OdO3d0584d1Wq1sA8JYuzs7KhcLgcBjRHSbDZDnert27dDbe7R0ZFqtZoa\njYY2NjaCIsA6ZZyu8NkLF9FLcV3RClhzSGeiJ9IEHyApEHyCIAEh6tXV1dDKxc1nhARu6+bmpl5/\n/XXt7e1pZ2cn0eoG602auLAeTfVavoODA+3v7ycSjbvdbngut0RhjlKpFJKRwRXX1ta0vb2tarWq\nWq2mer2ufr+vx48fBzeUGkGuXalUQi4gLirpJbjCnloDIehXVlZCsbNH/Ob07OT862lNDsy7m+c4\nGxUzZ2dnWl9f1+bmpra2tlSv1/WVr3wlWPkknsOPmUxGq6ur2tjYONeMEoE5Go1UKpW0uroahFQc\nAHGrzrMUPDCCFUk6B4KEU+VQoJKCYBsOhyqXy5IUqoPgVZQtbuv29rYqlYoODg704MGDkOuKJUzq\nWJwgj/VJ0NLhqMvopbRpwh1FcOVyuWChuDWHkCElhCRdLEBa0TQaDR0cHAT30sH8YrGoarWqjY0N\n3b59W4PBQIeHhwmwPpfLqVKpaHl5OSyat8WhA8rKyor29/fV6XRULBaDiUylBtcDKyALnppacolW\nVla0sbERBJ2kgFnU63V1Oh0NBgPlcjmVy+WwiNvb20FAu2UmKQC6koKgdnc1jq7x95yeD+HGYR0h\n6IiyEnxwIcMGpfvH4uKiqtWqbt++rTt37uj9998P6RV4Cyh8SVpZWVG1WtXW1pZOTk7UbDYTGQu8\ncHOlSV6lCzYElAvpWFHGcA4QDw0+KaLHusPjKZVKwXs7Pj7WwsJC2Gu5XE7ValU3btzQxsaGpDGe\niZGBx0FFiQfWPLiCK46lJ12NP78UQbe0tBQKgwEP3RrB3OeB2cRYL+l0OriC5XJZd+7c0enpqQ4O\nDsJ9SqVSiOzQjHBlZUWVSkXb29tqt9tBwDJBhUJBUvL4QbA37ok1d/PmzXDqPRYnAgp3sVAoaHV1\nNZECgvCiR9jS0pLW1tZ048YN3bp1S9/61rd0fHwc3OpcLqfj42MVi0Xdu3cv9P2q1+sBJ/SX59m5\n9YwCIB/Qo1VzenYirQJyXIy8zzhh3HPfgGTW1tZUrVZVKpV08+ZNvfrqq3r8+HHwPjwFijwz1rNY\nLAZDwUsiUcie1+ZJ9NPw2zg5eXFxMQT0aHfmJZfsI6KhBwcHoRX60tKSbty4EXB4XOpCoaDt7W1t\nbm6GSiCMjlqtFjBq90g8wkoqjI+RPMXnEXW9o3Ebm02N6/7+R0n/ja7RtwvLCVPd249jkrq09nAx\n+TPubhaLRW1vb+vVV18NQgkGAwwejUZqtVpBq1CG47WkMB8uNYsIWLq2tqZGoxGiRkSAph0KsrKy\nEnBABF2/3w/gMVE3hFAmkwkCGGuTCDQBie3t7QBsE+k9Pj4OUSY0J8oCYQcjeFMALxubk6Rn5GsU\nsZNjSQgq1tsjhFj8eDW4uNVqVa+//rq+8Y1vqNVqJdYSRZlKpULCO9FYal7hC6/yYX/xcuF2GZSx\nsLAQjsnc2NhQrVZLlGySCoblCqYujXHJUqmk7e3tADsh3FdXV8P8sG/X1taCB5TP54OFSSCQve0W\nnqSQoYABcRnNIuhOJf3Hkv5YUkHSH2rcr+unNEPfLrAnTovHZfMEV69MYOJgEM9HIr9saWlJ1WpV\nr776aiiX8qRMqgv29vaCW4r0R0BQjYGbjPZxLbGxsaGNjY3AtAQUYnfBE0URVAReeKZGoxEAZcx9\nXGxJCcatVqva3NwMNZO4QkRn8/m8VlZWzgkwmBqmQWm4GzWnQM/E11cJOvjDAxXkuREdpXKAFI1s\nNqt79+6FQNXZ2VloSVQqlYIFh3LkHvAsnhDpWuBv5LnFOG1s1UGMrVAoaGNjQzdv3gz7iKRimmiQ\nD0qTWb6bzWaDiw0fAu9QFXR6ehrgHnDJzc3NMPZMJhNSv5hrHzNzCiZ+Gc0i6HafvCSpI+kvJN3S\njH27dnd3A77E5nShFmdyA1zGmAEPPxgMQktnKdkXy5OMsZ681Iv7gP/BaGBiaEcOMmk2m/r2t7+t\n3d1d7ezshAUmMRnB52Vg7XY7dG3wwuZ+v69GoxGEFgnHdCiJ01/AYMD4sBhJnWH+/LlgaOaPTYRr\nfNVJSR8weia+Zo3hXxdyuFi4bWDUrLM0aeo6GAxC9BVFtLGxESAMSYm1ZS8hYKRJtJdNj3fE9xiT\n7xMpmR7D7668FxYWgvfEoTXdbleFQiERxCMrAdgEYes4Zpy75/t1MBifDZHJZFSpVIIxggC/CCbg\n5/Oy6JzuSnpb0h9oxr5du7u7arVaWl1dDa4ng/WJZyLQCJ53BxjLxLhb64X9DlyCUXkdnC8mOIYX\nEhNO73a7un//vhqNRghWuHvYbreDVgaczWaz6na7YfIRdAgij5BJE7eZwAfjwtolJYE6P8rXPHXB\n58qBcOaHaNjZ2VlC08/pHN3VNfmaCKeUrDTw9QCAZ01Qprhu5EaSWcB1yuWycrlcos8cOJuniaDo\nMCCwjjxXNK7QiK24WNi5EBqNxtVHa2tr2tzcDK6qV18QLOQZUOREgb0CI742vxNAwbLztBZX/j5O\nD8qR7nUZXUfQFST9qqSfkdSO/ndh365f//VfD1nOP/zDP6zNzc2guXgIaSLQsFjQBCysP6j3juc9\nzzQ/PT0NpjE4ltfgDYfDIDhWV1dDVjfM22g09PWvf13vvfeeyuWyqtVq0OC9Xk/1ej2EwzGv19bW\nwv8dgEbzefCFRfHCcHA+3G7mB2YgfQVhhZBk46C5U6lUePajoyM9ePAgRKiv6qv/AaWn4utPfepT\ngV8+8YlP6N13300oNQSNt3ECJ85ms8Glc0LoxOV+KEVX6I7JsvYExNgHKG/4yvPlYpcVN9dTY4CE\nisWibty4kbAiJQWB7akrYPH0zvPOytyTfeHt1ogUU7TvAbY4/QX6zGc+o09/+tPa2dnRl7/85UsX\neVZBt6QxM/yyJm1rZurb9c4772g0GulHf/RH9cYbb4SkP4+e+IJ6hwTv1MDDOtgaaynPM+v3+yoW\ni+H75Nl5AXQ2m1WhUAhZ4FiBZGbfunVLb775pu7evRvGdHx8rGazqb29Pd2/fz88J5YZboq3h3ZX\nwq1KNBWbA/fE85+csTyUDmOiUcm/k5Jtvl955RXduXMnVI88ePBgxiX/QNBT8/VP//RPhyBA7Ip5\nIMDzvxxi8JKsaTWs067rXpCnC7lQxbrDmvOmFB6Zv8yygzw/sFwuB55mDET18SD8GfBo2N+x0CJA\nSMt1Wlu5NedpUfEcDQYD/cAP/IA+9rGP6b333tMv/dIv6b333rtwoWcRdClJvyTpzyX9or0/U98u\ngHlqSjG/kerewcRD8vzPc308fO9Jxy4gsOgQdrhv7XY7WFN+sK4HOsDNjo6OtLy8rI985CP65Cc/\nqTfeeCNUZnBYyLe//e0gFBHSMIzf3zUvixiXcrEZWEiegzlwxovdYHd5YF6vPFlZWQlzixs8J0nP\nga9jiuETX1NpAk0QrGB93SX0ygW+w/p6VoDzCONhPyD4EHKesjFNoMXPwH39b2pRUaIIL3JKXYHH\njUIdOmJeSJXBXfXGs9MEsgtm4Cvu4ZkUF9Esgu4HJf1bkv5U0hefvPe3NWPfro2NDTUajYR7xWZn\nMTGRAdC9gNixBhbYI1m4cwg7NAzCptfrBaEmTTSJd/TAdTw5OQmdF1ZWVvTWW2/pzp07yufziUOH\nqX2tVqsh4iRNesHBZLjhhUJBa2trYZxoNRbfBZQziF/TNT0bhCoNaVJQjhb3DUUgBJd4TpKeka+l\n5ClxF1lMCBiUlLf2chcUHnTywJOnibhnAG/AV3wGHvTAn3+HF/eJAxL+E54mWEBiPR6Mu9aexuKw\nCoKY8kSvBWdf+H2nPSP73hUEr6t4exZB9/9JuuhA0Cv7dk2LmjDxXrrhD+MmK0IOqe1uHoXyTJQD\nwkSAXMAhqDwHzXPpms2mHj9+rLOzM21sbOju3buqVqvhXggirNNCoaDd3V0dHx+HfL/Y+iRheH19\nPeAP0vRDgxiHa3e3eGPr1+sdHavx6B7XxRKdU6Bn4mspGa10ISclN6tbSe6O8j08Cse6/P/xteMx\n8DkXrAiYeAzTKiSmuauxBSVNqnEoyMdDcojJhT/7Fp5EFuBR8YoF/7R58r0Sw16znIXyUmpdPTFy\nGjbHpo6jiG7NcQ0mI3ZBp2lVcA1P3/A2N4wFbO7w8FAPHz5UOp3W2tqatra2lM1mQ6KkC0sWDfyP\n2kJ/DqJg1WpVa2troReXL5pjky7IPCoLI9GeKc7j82oTghVYDxBu/JyeH8VCLRZ0ngPJey5A4BPn\nh3iz+7082jptDFzTXVt/P74P73uql48htqokBQ8FvlxeXk54T/SN9ICMCzWaErAXeP7YwoyF+kWf\nAdN3L2kavXBBh3vKIiHwGKAfZguu5J1Z/eUgb7yQkAtQhMC0CBN+PgCrH27zoQ99SPfu3QvaRkpO\nPoI2k8mEnD3PGvd70/KGg1LAVXyMPnYWjznzVjsxsI0Fi5b0aC7CkDkbDoeJ9J45PRvFwQO3wqTp\nQg04ASXM+vL/WCD6+24MXBRQgBz0j7E2j2DGgRNpsjdi4e1J6fR4TKfTiRP3jo+PVS6Xw7EG7rnF\nz+fzFOfBcn+fa953KCcO5FxGL1zQeZWD4xNMjNfi4Xo5iBprSV8Adx2k5FFtbh36hMeF1vj3zWYz\n1OK+8soreuWVVxLWF/eHCIn7kW4IHDSMm+8EPrD63KVwLNJD/GwEWuHwTNIEfOYe3juH4gA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XRCqRmHStfrde3v7wfMbmFhQY1GQ/fv39f9+/e1v7+vx48fq1ar6fu///tVrVZ1cHAQOq94Uq5H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\nc5rTnOY0pzl94On/B5/jUfnb/4mBAAAAAElFTkSuQmCC\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# データの中身確認2\n", "\n", "plt.subplot(221)\n", "plt.imshow(data.images[100], cmap=mpl.cm.gray)\n", "plt.subplot(222)\n", "plt.imshow(data.images[111], cmap=mpl.cm.gray)\n", "plt.subplot(223)\n", "plt.imshow(data.images[132], cmap=mpl.cm.gray)\n", "plt.subplot(224)\n", "plt.imshow(data.images[153], cmap=mpl.cm.gray)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "PCAをやってみる" ] }, { "cell_type": "code", "execution_count": 39, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "shape of data matrix: (400, 4096)\n" ] } ], "source": [ "# resize data 2d image to 1d vector\n", "data_reshaped = data.images.reshape((len(data.images), -1))\n", "print('shape of data matrix: {}'.format(data_reshaped.shape))" ] }, { "cell_type": "code", "execution_count": 40, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "(400, 4096)\n" ] } ], "source": [ "# compute PCA\n", "pca_face = PCA()\n", "pca_face.fit(data_reshaped)\n", "print(pca_face.components_.shape)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "平均画像を見てみる\n", "(PCAで求めた重心)" ] }, { "cell_type": "code", "execution_count": 41, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "(64, 64)\n" ] }, { "data": { "text/plain": [ "" ] }, "execution_count": 41, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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/s/uGVnZrvcojsYAzTx8TFR5Rra7+qo4pMzoaJnN5NgyXLl06FspxeK/jjYN3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\nQmCC\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Plot the mean faces\n", "image_shape = (64, 64)\n", "mean_face = pca_face.mean_.reshape(image_shape)\n", "print mean_face.shape\n", "plt.imshow(mean_face, cmap=mpl.cm.gray)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "下記のデータをPCAで求めた基底に射影してみる" ] }, { "cell_type": "code", "execution_count": 136, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 136, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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evYs7d+4MejQej4e5nhiahUHgsX/IJIt4WF+qoZTLr6Bng1jRSh+4aXl6ZwSc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\nZpnXKEMNEBMrl7PyldI7MLswX9NUCu8Aruldn8U5900m5ywCU6OYhfm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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# この人を使います\n", "plt.imshow(data.images[0], cmap=mpl.cm.gray)" ] }, { "cell_type": "code", "execution_count": 122, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 122, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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1z+uzXwcAPEOSDEPAzIO/5E8AJ8Tsyu7zwUNDBE4+h5oDH1NnBBy7eNrf31+v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\nSxIfDtblcxygOTBMvkVB0h9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ZyI1Qhkgl9rLiaaTY7qAJKjQ2HycDaKdQVLYu4NFQOkdN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kn+vTVPfjz//PMzPG/NbSuTlPa7PP/889FoKFWAwc/pNQD42te+Nscnvzc5/QQC3JF84xvfKAFC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ggg68Uio6UmA+S+J1CUn6RmoZje9ne8nR+SNtXjnpcmSqmP7okAIKd2zuKNNcrmeZ7sTdwF3Z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\nlHR8nLrQgE0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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "face_01 = data.images[0].reshape(-1)\n", "\n", "def get_pca_image(img, dim):\n", " A = np.dot((img - pca_face.mean_), pca_face.components_.T[:, dim])\n", " A_inv = pca_face.components_.T[:, dim].dot(A)\n", " return A_inv\n", "\n", "plt.figure(figsize=(9, 9))\n", "\n", "A = get_pca_image(face_01, 0)\n", "plt.subplot(331)\n", "plt.imshow(A.reshape(image_shape), cmap=mpl.cm.gray)\n", "\n", "A = get_pca_image(face_01, 1)\n", "plt.subplot(332)\n", "plt.imshow(A.reshape(image_shape), cmap=mpl.cm.gray)\n", "\n", "A = get_pca_image(face_01, 2)\n", "plt.subplot(333)\n", "plt.imshow(A.reshape(image_shape), cmap=mpl.cm.gray)\n", "\n", "A = get_pca_image(face_01, 3)\n", "plt.subplot(334)\n", "plt.imshow(A.reshape(image_shape), cmap=mpl.cm.gray)\n", "\n", "A = get_pca_image(face_01, 4)\n", "plt.subplot(335)\n", "plt.imshow(A.reshape(image_shape), cmap=mpl.cm.gray)\n", "\n", "A = get_pca_image(face_01, 5)\n", "plt.subplot(336)\n", "plt.imshow(A.reshape(image_shape), cmap=mpl.cm.gray)" ] }, { "cell_type": "code", "execution_count": 141, "metadata": { "collapsed": false }, "outputs": [], "source": [ "def draw_face_compressed(img, ndim):\n", " A = np.dot((face_01 - pca_face.mean_), pca_face.components_.T[:, :ndim])\n", " A_inv = pca_face.components_.T[:, :ndim].dot(A) + pca_face.mean_\n", " return A_inv" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 固有値の分布\n", "\n", "固有値が大きい軸ほど,データのばらつきが大きい -> 重要度が大きい\n", "\n", "下記に固有値の大きさの分布をグラフ化してみる" ] }, { "cell_type": "code", "execution_count": 150, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 150, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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LljU+PjwM+/eHN4E//QkOHICDB8Mysv7kk2F46cgReP31sBw5Em42v/HGyY/9/Se/KdS/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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "num_eigen = pca_face.explained_variance_ratio_.shape[0]\n", "plt.plot(np.arange(num_eigen), pca_face.explained_variance_ratio_)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "上記より,ほぼ最初の十数本の重要度が大きいことがわかる\n", "\n", "下記に軸が何本あると固有値の何%になるかをグラフ化する(累積分布)" ] }, { "cell_type": "code", "execution_count": 156, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 156, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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4OUA7sB64vp/t3g10AX/b1waO4CUpOuUCfhjwQ0LIzwAuB07uY7sbgQfo54R8A16SolMu\n4FuADcBzQCewCJhbYrvPAXcCO/r7MgNekqJTLuCPAzYXvN+SW1e8zVzgR7n32b6+zICXpOiUu3FA\nn2Fd4LvAl3PbDqGfKZrly9toawvLra2ttLa2VlKjJDWMTCZDJpOpyneVu4HNbKCNMAcPcAPQTZhv\nz9tU8D3jgb3APGBx0Xdlb7wxy3XXDaZcSWosg7nZWLkR/ArgJGAKsBX4GOFAa6GpBcu3Ab+id7gD\nTtFIUpTKBXwXcA3wIOFMmVuBtcDVuc9vOpidGfCSFJ1I7wd/xx1ZLr00wj1KUp2rm/vBO4KXpOhE\nGvAjRkS5N0lqbJEG/PDhUe5NkhqbAS9JKWXAS1JKGfCSlFIGvCSlVKQBf8ghUe5NkhqbI3hJSikD\nXpJSyoCXpJQy4CUppSIN+ObmKPcmSY0t0oAfEuW9KyWpwUUa8JKk6BjwkpRSBrwkpZQBL0kpZcBL\nUkoZ8JKUUga8JKWUAS9JKWXAS1JKGfCSlFIGvCSllAEvSSllwEtSShnwkpRSBrwkpZQBL0kpZcBL\nUkoZ8JKUUga8JKWUAS9JKWXAS1JKGfCSlFIGvCSllAEvSSllwEtSShnwkpRSlQb8HKAdWA9cX+Lz\njwOrgKeApcCpValOkjRglQT8MOCHhJCfAVwOnFy0zSbgPYRg/zrw31WsMVKZTCbuEipindVTDzWC\ndVZbvdQ5GJUEfAuwAXgO6AQWAXOLtnkMeDW3vAyYVKX6Ilcv/9Cts3rqoUawzmqrlzoHo5KAPw7Y\nXPB+S25dX/4BuH8wRUmSBq+pgm2yB/F97wOuAs4aWDmSpGoZUsE2s4E2whw8wA1AN3Bj0XanAnfn\ntttQ4ns2ANMGVKUkNa6NwPRafXlTbgdTgOHASnofZD2eEOCza1WEJKk2LgDWEUL8hty6q3MN4Bbg\nJeDJXHsi6gIlSZIkVUm5i6Ti9Bzh4qzCXx3jgCXAs8BDwNgY6voxsB14umBdf3XdQOjfduD8iGqE\n0nW2Ec60yv+au6Dgs7jqnAw8DKwBVgP/mFufpD7tq8Y2ktWfIwinQq8EngH+Pbc+SX3ZX51tJKs/\n84bl6vlV7n3S+rOkYYRpnSlAM6Xn7+P0Z0JHFvoGcF1u+XrgPyKtKDgHOJ0Dg7OvumYQ+rWZ0M8b\niO4WFKXqnA98ocS2cdZ5LHBabvkwwnTjySSrT/uqMYn9OTL32gQ8DpxNsvqyvzqT2J/kaloALM69\nr0p/1vovUMlFUnErPpPoEuAnueWfAB+OthwAHgVeLlrXV11zgYWE/n2O0N8ttS8RKF0nlD47K846\nXyD8RwGwB1hLuJYjSX3aV42QvP7cm3sdThjEvUyy+rK/OiF5/TkJuJBwLDNfW1X6s9YBf7AXSUUt\nC/wGWAHMy607hjDtQO71mBjqKqWvuiYS+jUvCX38OcK9iW6l56dlUuqcQvjVsYzk9ukUQo2P594n\nrT+HEv5ntJ2eaaUk9mWpOiF5/fkd4J8Jp5/nVaU/ax3wB3ORVBzOIvyHdAHwWcKUQ6Esyfw7lKsr\nzpp/BJxImG7YBvxnP9tGXedhwF3A54HdJWpJQp8eBtxJqHEPyezPbkI9kwj3oHpfiTqS0JfFdbaS\nvP68CHiRMP/e13VJA+7PWgf884SDR3mTOfD/PnHblnvdAfyC8FNnO2E+FGACofOToK+6ivt4Um5d\nXF6k51/IW+j5+Rh3nc2EcP8pcE9uXdL6NF/j/xTUmNT+hHD/qfuAvyJ5fVkoX+cskteff0OYjvkz\nYerl/YR/R5Pcn2+p5CKpuIwERueWRxFuc3w+4eBG/myfLxPPQVYIfVZ8kLVUXfmDLsMJI5ONVHaF\ncrVM4cA6JxQs/xPwv7nlOOscAtxO+ClcKEl92leNSevP8fRMaxwKPAJ8gGT1ZX91HluwTRL6s9B7\n6TmLJmn92adSF0klwYmEjlpJOC0tX9s4wrx8nKdJLgS2Ah2EYxhXlqnrK4T+bQc+GGOdVxFC6inC\nHOc9HHgMI646zyb8XF9Jz+lxc0hWn5aq8QKS15/vAv6Uq/MpwtwxJKsv+6szaf1Z6L30nEWTtP6U\nJEmSJEmSJEmSJEmSJEmSJEmSpIH5f+eX72I0npC4AAAAAElFTkSuQmCC\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# 固有値の累積分布\n", "\n", "plt.plot(np.arange(num_eigen), np.cumsum(pca_face.explained_variance_ratio_))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "縦軸が累積度(0.0-1.0),横軸が基底ベクトル(データを表している軸)の本数\n", "\n", "上記より,大体25本ぐらいの軸が,80%ぐらいの重要度をもっている" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### 何本分の固有ベクトルがあればデータの何割を表すことができるか?" ] }, { "cell_type": "code", "execution_count": 42, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "データの50%を表すのに軸は: 3 本\n", "データの75%を表すのに軸は: 18 本\n", "データの85%を表すのに軸は: 39 本\n", "データの95%を表すのに軸は: 122 本\n" ] } ], "source": [ "# 50%\n", "print('データの50%を表すのに軸は: {} 本'.format(np.sum(np.cumsum(pca_face.explained_variance_ratio_) < 0.50)))\n", "\n", "# 75%\n", "print('データの75%を表すのに軸は: {} 本'.format(np.sum(np.cumsum(pca_face.explained_variance_ratio_) < 0.75)))\n", "\n", "# 85%\n", "print('データの85%を表すのに軸は: {} 本'.format(np.sum(np.cumsum(pca_face.explained_variance_ratio_) < 0.85)))\n", "\n", "# 95%\n", "print('データの95%を表すのに軸は: {} 本'.format(np.sum(np.cumsum(pca_face.explained_variance_ratio_) < 0.95)))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "つまり,本来この画像は 64x64px = 4096次元のデータだが,\n", "122本の軸(122次元)あればこのデータの95%を表現可能!\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### 4096次元 -> 10次元で圧縮したもの\n", "先ほどの顔画像を,10次元で表すとこうなる" ] }, { "cell_type": "code", "execution_count": 170, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 170, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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/lpfvu7FOmV/t3ZMolx3dC9C/DMDfA/BvAjgG8D8A+O8AvAjAewC8HGf/Z/dl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\njDv9dTaVnEAC/tJIr/yNxrSCRKKZSP8wVtG9yv9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BQvtfCvpqV0HhUnkHcgco/cHXjNPp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\npS1taUtb2tKWtrSlLW1pS1tag/4/G8ttrEyTcJcAAAAASUVORK5CYII=\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "n_dim = 10\n", "face_compressed = draw_face_compressed(face_01, n_dim)\n", "plt.imshow(face_compressed.reshape(image_shape), cmap=mpl.cm.gray)" ] }, { "cell_type": "markdown", "metadata": { "collapsed": false }, "source": [ "### 4096次元 -> 50次元で圧縮したもの\n", "先ほどの顔画像を,50次元で表すとこうなる" ] }, { "cell_type": "code", "execution_count": 172, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 172, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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ZgWAWmLreMZuFPRagH4F6BHwgv+CTFoWqXk3la5DdlIJBVAC8efMmbt++jSef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\nTkSuQmCC\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "n_dim = 50\n", "face_compressed = draw_face_compressed(face_01, n_dim)\n", "plt.imshow(face_compressed.reshape(image_shape), cmap=mpl.cm.gray)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### 4096次元 -> 100次元で圧縮したもの" ] }, { "cell_type": "code", "execution_count": 173, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 173, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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Lz6zevcBfisDG5NatW0tA3rlzB4eHh0slOjs7w4svvoivf/3rSy9SdXIHqcJy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\nAABJRU5ErkJggg==\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "n_dim = 100\n", "face_compressed = draw_face_compressed(face_01, n_dim)\n", "plt.imshow(face_compressed.reshape(image_shape), cmap=mpl.cm.gray)" ] }, { "cell_type": "markdown", "metadata": { "collapsed": false }, "source": [ "### 4096次元 -> 122次元で圧縮したもの" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "collapsed": false }, "outputs": [], "source": [ "n_dim = 122\n", "face_compressed = draw_face_compressed(face_01, n_dim)\n", "plt.imshow(face_compressed.reshape(image_shape), cmap=mpl.cm.gray)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### 4096次元 -> 200次元で圧縮したもの" ] }, { "cell_type": "code", "execution_count": 175, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 175, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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jBpg48LG7OiHKTPGjwwN3jNUydUcbAX0XhlSAr8YnGj4BVx6JYD8+PsbBwcHS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\nibt8AAAAAElFTkSuQmCC\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "n_dim = 200\n", "face_compressed = draw_face_compressed(face_01, n_dim)\n", "plt.imshow(face_compressed.reshape(image_shape), cmap=mpl.cm.gray)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### 4096次元 -> 300次元で圧縮したもの" ] }, { "cell_type": "code", "execution_count": 176, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 176, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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GgvmtZKNzG87j8NxD1OVkp1GAtsd5pQxgKm8FcBa1BPGmFa6Ly+eJUe6rrO85CnT3qz0f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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "n_dim = 300\n", "face_compressed = draw_face_compressed(face_01, n_dim)\n", "plt.imshow(face_compressed.reshape(image_shape), cmap=mpl.cm.gray)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### 4096次元 -> 400次元で圧縮したもの" ] }, { "cell_type": "code", "execution_count": 177, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 177, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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Z4MaNG3jmmWdw48aNQW/29/dx8+ZNPP3003j66adx8+bNQY8mk8kw1xNDszAI\nPPaP+pwO94I+Iwf6kFFFa33gpuXpnRFwHj6bxIoQMTz7vXv3sL+/vzAxx9t0Y6x948YNXL9+fVCG\n4+NjHBwcDIA/PDxcGi/zCwhZ+MwzgIUxF3v8CPsY1LG0xPUwkHilgZeuWCY8mx8hH8saWJyhV2OV\nKWWAMOYisnCel+Aq0km8KDP6nQ0Gj8d5iUy3oqryR/vZMIXcwtBsbW1hOp0OoL958ybu378/TBDe\nvHkTzzzzzHCPZ+xj/T30JuoKz89g56EfkxvvOx3XtBpN6rCnorWA3k04OK9e/dhKM/HEUIy32Mvz\nOD6WZwAsePrr16/jqaeeGkK2iBZCeY+OjpYmC3VZbjKZLIXVMdZzljhm43lSMdqh4OOQP4ASu7J0\ntYI9PU/muXCfI4ngN0gNBCulziE476+7FpXcPgn1iDx3oqs/bl6IPX2MqUPf3A7M0IPpdIrr16/j\n5s2bePbZZwdQTyYTvOY1r8HNmzfxmte8ZmFOJnTl4OBgwbuHbjA/YbR4sq01dOVhFMtY82gU+URs\nw9UtprquyA12Hl7H9zrxxJbbLfOE4JWfqJs7nT3v9evXB9Beu3YNt2/fxp07d3D79u2FpTmeSXbL\nkOExeLJFJ5siP4fawXt0fuSJjo62Bqh50uv8/PJxYJ5E0m27HGUE8X3nWXjeYjS6fGacvb8aoiDu\nN90gpQaM+Yl+5uW14Icjn9lsNszoRzQW9wKQUU4YhtPTU+zt7S38Qsa7u7u4fv06rl27NsiT+eIl\n2TDWrKsRfYb+qSFW2bKOM3HUwxS6zftAeOkuo8cOet1TrjuIFODVOD/ITXipAul4MMrksC9AH50b\nM/EAhkmha9eu4TWvec2gDDGEODs7G8K7qEPnLaJsN8YM4xQ8xs47Jvb4HDKHsmWgzyaNGOwcOTHo\neSytPET5zhvzBJ4aEzcU0O3OCng1FgFWBUrsxAvZhMzDu0eZvP4/Go0G0J+dnWF3d3f4Xbt2bVhm\nPTk5GaJBdhwsq5gEdm3k6DN4ZaMecmU91+ESz0WoUQi9iclCXbrL6Eo8fbZcV3l7tXQBbAW88/Ss\nILwFGFgM76bT6cIGjtiNdf/+/cG73r17F3fv3h0Az97TTSaxp+fZeg6BA8TA4moEsLiZJdKzp9fJ\nwAr0wOIHPJkPDuN58ollz8rHgOf8CnxWYv6vnt7NDwTxPIE6CjYcOmnKPOzs7CxMtE0mk8HYxORt\n/ALEETHTe8rGAAAgAElEQVSFzrBc1NOHTnIEF54+nAuH3Wq8FPSttfboy9CpJ8rTx1goAOXCFKB+\n8kgNQxAvo/ExygvrrJ4w8sb4//79+7h79+6w/TU23nDHxvVQEFZs7rhIrxNN7BFd+Bt5FSC6Vh3t\n4fE9p2Mjl3ldDe/Zq0R7tG/4yKDjcnTVoIoAdKddpI+jk40O8cIQRMTDE8WRL0DJ7ec2xxAs5BWG\nJe6FrkQe3uPBdcSkoDqq6CsevlQRbfAX/CixQYw2A7DzRRk9dtA/++yzgwXVcRFQP2hTeX8GgguH\nuOOdxzk+Psb5+Tnu3r07hPUxix+hPu/eC0BFyK+gZ4XnuQsO67njladoLysRp1P5RIjsAOoAxl6a\nowcFvXpkHVaFTOOogOZdiaG0wQMf4556JlcfX+M+j/Ji+U0judARnfRkWUefjkbztfX9/f2luRmW\nC4OedY2fq+BdhCpXNTgO9CEzjdocdqKtDPjYgJTRWkAfoU2EIso8kK8lK/CjM6IDgGXPwCBUcOkT\ndTHeD88fY8Nr164tPEAToI/xfwV6Xp4JZQAulV/XsXXMrV5alT+AHbzydQf6aJ8DvSoVj/czUgPE\ndekOSQanLjNqBJc5AG1LUPSn1sEPvagR1eghhnej0WhYquXVlvDUarh0e3CUqeBVwGt/cmSm8ylZ\niK8Gh6PRmJuoqAf0bwDwtwF8O4AZgP8JwM8BeBbAxwC8EZffs1v6VObNmzetF9cxZxwd4NXbs3dw\n40Ad06il5KWVWHLh8XlEJLyVN7xljNPZIyroOSLh5TPnfbmtOq5zu9SCFDwc0mtUowY1eHagZ5ly\n2dpfzCuH1TpfE+VxuzkaaP0ALIzbmR/mn2UVPHE0EUB2oA/DH3syYuzN4TlPEOvQQ2XC8z1u+KSy\ndcaCdVcjMIePGMZMp1Ps7e2hoh7QnwD4zwG8BOAGgH8G4FMAfuLi+CEAHwDwwYvfYgU7y68kUnDz\nffefz6MjNVQOCsFV9YSgY3aWO/zevXsAgIODg4Vtorz7jmdhw5tUm450Msx5OA1xI7xTZVYliDa3\nJm+C1xZl3lYNKxsCp7xuDoYVl+djYkgUbVEZabu5PC2ft9nyFmYO63WY6ZyI0yu+H/3uDLn2XSXH\nVj9kfaMUEU3sLK2oB/Rfu/gBwD0AvwngOwC8G/Ov2QLARwF8Ggb01Q4kx3xFISztTPa4zvJyfeyJ\n+A04Z2dnODw8BIClzS8R+sfYkSeV2KO3lkucd8gMACtR5TWiHC5fZZ3x0hpqaV7npR4U+FGeysON\nd9k4ZIBR789yY9Dz5JczuixnHk6wAeJ2qD7zUCMMgObvkX2cZ/3CBi8MUCwvZsOCoFXH9G8C8HYA\nnwHwHIBXLq6/cvF/uQIax7MH5oYoZY1lQblJMU6r4bZ643hxBRuQWMuNJ7CAZUMTbWKw8rIOz8AD\ny8/3R9tY8Xg4wJNgDngZ6NXYVGB3ZamiqYIpoBSAWTsU8C5UZcPp+pA9r4t4mLhc9sCZwdV26zBM\nDZdGeDp/osaA92KoDFTe2ndO7x2GgLk+BehbznQV0N8A8PcAvB/AXbk3u/gt0a/8yq8MzL7tbW/D\nCy+8sGQdWVmckodys8B4FxewuC2RlcgdY0NH7MiKnyp//GfvzsMHN3bnMbkbT2fHVuST5dH8LpJa\nNaKqjDK3LZRe8zpjG0cOm3VMHhOsXFbk0VA+eGGe+D9fV9lGmbr2DlyGyfHjPmaeeWKR51LiyOP6\n2Wxmn69XGXMk4WRf6cjLL7+Ml156aWGjUka9oB9jDvhfBPCJi2uvAHge89D/dQC+7jL++I//uLVS\nbtIrCwVj4ocF63beAcsTKs7Dc6fFJI3bIOI8kyqgA5rmZYVicqBUT8OgUiCr7JwsVwV88MD1uTA0\ngOq8tvYBb4V2QzTuUy4/wKNydLxkIa0zgOo94zqQgz7uZ0NLN/Ti/qsmOh3PrbZo5PHCCy/gu77r\nu3BwcICjoyN88pOftGUAfaAfAfgFAC8D+Fm6/iKA9wD4mYvjJ5azXjLLgM88vWuQWtb48RtMog43\n+6szyxpR6FtqdNjA3khnu4NcyKzn7C0q4ro0nI1yXISUAX5V4Luw0/WLykPb6oCv6bSdOjs+m11+\nKpzLzWTG9Tve1WtnaXgXKcszIsyY4M36yDmNloNjfjID5/pTscXDpIx6QP/DAP4DAF8A8PmLa38N\nwE8D+DiA9+JyyS4lB/weT8+dyZMyupzFnamensfb7HlGo8XJHg71K/BX0UDWdufVtZ0uslAv5+Tn\nJs6qELKHnHfnexHa9gD+/Hz5Cz5cDoNeZRjePsrLZKfEnrsVWWoa3jKuoOexeQZ6lp8zorqXwfEe\nfV5FldpubkNFPaD/pwCyUt7VyqyK1/I+3Nj4H0cHQvXcbO2cx+eHYVgp2Yq7N9S0PL/O9HJ7VBZZ\niOmGEZyey6kiGmcAVqEs2tA2qaHSflbgc1oN27W/tR4mlqMDfebd1fC15BiRodMtN553vCroASzp\npuujDPh638n+UYD+oSgmtpipHuDrUUFflek8oAKfH6KIOiJsi3TuBZU6VmPAq3K4trACOsORjeO5\n/Kxt3MYqFFRiz6u/mH12URe3S/lVwDPInaJy+1kPnNHU+jKjUEU/qi+tDUbs6aMtbpcjU8VXNqnn\n2sZHbYNGg08E6J2FcteUXLibecE4ulDOhfW6Jz7KiCe1Yv1+a2trYQcZDwWiHXzOnRqdoF6AO8at\nSvAwIfNYLaPG1zKZZ5QZIPXAPR6W+coAH/nYuCg/mpaPzgvG/czLZzxqBKghOBsI7t8M9I4nYNlo\nM1/aZgd4jRQ5/aMK7x+aVHBKmTLw/Sqts+AZsVKzN9aOc0JmMDslcqFY5GEga5uysjKwt8DvQnv1\nDsqDyiiMG+9wU8PkQlduR8VfhPitdjOfbrjj+k15yHSC9cgdeciWeVU24D2GNYs6NI0DvuZ37Xii\nPb1e7wG8lpOFVJmRYO8VyswUXl2HEL2eMgu9VCEc6DQ0q4DT8vyZUdK6nQHS0N4to1UhutbpfpFG\n26oK6xTbORBXN+C/XefK5D0HEdFpfSyrLFpx5bv7lRGqjJlzbBUvGa0N9BVAnSVftfzKiGjHMuA5\nna4dZ3w7HpyXH40WX1HF41WdIONIAvDjdgd4ZwAyzxn1VnKKdrCcMs9SyUbrdnwx39w/rnznZd18\nkdbdApgDPutsBnqu06VrycTxktWp+V1bVnFQa/tqbUso3KGVxeNrmbfXuiuPq+FctjHG5VGwu7Yx\n2DJ+ta2ZB8/Cd2cA3D2VvwN8kFuN4Pb2gp6BxDyqPBnw2YRtS7ldNOEMlp4r4F2fZmVov2lalm3L\nEGn6jDIjzPcreuyg11cc9XhxDV+0E7Ow0pGG93wtPIWmyY7VOjywvFIRdXE6HTZkvKuH7AW9+6+8\nZOG5a1Ok1//ZHgktQ3nnSTCVvRo9XpZ1bdExN993AKs8t5blylhFd7U9LS+fAd0ZqYeltYA+FKI1\nweBIO0w7kdNoR7ofg9gpXpYn243nOqrlTbN1XfUsvYDPgO+8QW9InhGXEysX7CW1Xcybrs27DU/A\n4rv7uSw1WpncsjZk7VKHoOVkv0qezoj2Gg7mw7W/pz0VrQX0usmhRS6t84otLx/EnaoGomcMycai\nFUY5AxT/HdidkqmX7gV9D+C1rQ/iPdgQMo9cF7eJ77GnD5noODrKi3M11Mp3j7d3beCjA722QY9a\nlvKgkQUbC81bAdj1Wy+WHK1lTO8sYma1M2qFa1X9IWgXwjnQuwiAeeb8mjbjnY9uGJB567jXA3ou\nh3lrybXybu76qgrIbQsP7iI3J7M41/mYVrsrA8jtznjQvs6MNfPqHFV13pJBRr2YyWhtoM/u9VCv\nR+f0rh4WsvKXhVOVgnPnVcZNlTEL05wXUW/vIoKq3asYVD7PPFzWF5nSOo+pOxir9HyuOxU1nePf\nOQmNJhzwsnZyGZnss3uZw8qMRlZ/HFtRZ0Zrm72vQudKMZ2A+V4vD5k3a/Hg7juL7qIC5rvq5ArI\n2f1MUVvtr9rQC3wtm49KWRsj8srS64pD5Q0z3dD6gs/KsGQy0b7M5Jbxofd7+q0yPK79FR9Ma9mR\nx+Q8KlNlbVexZr1Ws/LkLWOkPMZ5psyV9a9A79K1gFBR5a17fryEV01KxrVWeZye+QhZ8HxMK2rM\njJemdXVXOlM5H5fXtaknnWtPFnlmxrwV3a3lgZsQ8CqA53T8445seRdXV08e18GV1c1CLs5bAZ7P\nFfTVeLvHWzhyUUdvem2Teu0KZLpE6ravZm3jvBX1tMcZsFZaLTuTiZ67Pm7xrcOQFq0a6q8N9EG9\n40wl16gewSjgI09L8bNr6tWcFc7KqRSgF/TuvEXqdd29VcqLdAx4t7kla7+mbQGh4m0VXXKGJFsW\nBBY3JWX1c7uqtL1t7QU865ub66joiQB9JiDdTMP3VjUc2dizR9ldfW4M7+5lHrrynA70nEZ5b/Ff\nUaWIVZ44OsBnZbJn1YlJV77WlVFmiLVMBbSCftWxsosGW/LsueeA3zs8bdUBrGnv/aqK5QAUZXG5\nlVWsvEIWrmnZjodsTNVjhBwoepXmQT2yllGNS4PckCqut5S21Qb2sBwtZIpbGQTm1x2Z7yq/47PF\nR09Zrm/jPOOpBfwH0TulKwV9JrSWxWbBVGN01+l6r1V/9XNlZ4rbUt7Mi1fXWhGUlu8UaRUD0BNh\naX/rMIrPA/wcomYvEGnxq33WS5mh4PMHMbQub2bsOQ/zkbUjG0r2tnvt4T3Q7jhusCool5cBsBWO\n8S8TIJfvtov2CrjHa8d5phiZgVCj1gprez19kDN+VTt1CKblRP/FkIC35gJYeBNNSyYZvz2eMHMG\nLk1PxJHJVPnO5OLqcbra4rmX1gL6oAcJkTgdh4fA8mOiWTiVvYkmqMeitkDf68ldR/akz+TR04ae\n65mBXIV6PDJwuSlGjxlIKjlwXa1orMdwrAL2jC9nqLIISI2cDqccPYjzYVrrO/L4WHUi51OjwSFh\ntYyj5fMDHI4Xd53L4vOe8VQW3lW77jJFb4Gv5dmc/DPQa708/nbyqLxcRer1NUrI9iu4chQ0Ko/K\n2ztwV9f0/qrGucWHy+sM/INGnsAaQd/LnDaU02eTP1WnRj6gBoczTo6voFbdzpOrQmf3s3QZeHsB\n3xOpsEFSHlrRiSuvus8//iZBT/6sPgY+k8opA70akYxv14betjOfvek1HffjE7lkN5vN7OupWtZR\nBeMMgnsxhgNoHN0baypgRRo+clmOnKeK82pLq0YClZXPXqqppKCvHhFWGSiflXd0MnDXVFnZiGvk\n1uO9ekGXyckBuGqjA72LIF0+x7u7pvw5nLj2RN4W8B876Pmd59nz00Hq5eKaux+kT6xlAFWB9HZ2\n1nlcpmtHtZ228vS6nMUGTgHjPmOtxNeyN9KEHHV3WubJVD5uiJQBz11TI6PXmZfMEDgjrzy2tkdn\nutBK79K6NI+KXH8r8CtaC+iB/HVRFfArQVbk8mXhfNaJre2ZXE/VBr3vvAPXqY/QxpHf2xeA148V\nZiF7EL8U1D3plgGgRxaRpzXUclEXz+a7HXIu0tH2OoPu2uT4cjrX8tSZnrJeuXxVJNAT2TiwZ3LI\n6LGDPj5npB9NyDwTsLhbq+XFmXq9S6YcLsTMylMvovfYM/Gxiix4GUu9voIkPszBoG8ZSX6ttdtB\n517j7MJ7117975TbKWsYoqiHv8PmHIQLafm+Azwb1erx3B5Pr3mzslyalkHscYp8vTetUgv0uwB+\nA8AUwATA/4r5d+yeBfAxAG/E5Xfs7rgCMq+dMZp1gFpPZ9EyBXM8ta5nBkQBrPUpn8prplwBcv1Y\nhQ5zGLgBfOexXV360k/24plCZv1Xhdm9oSaDPmSUPb7LUU42l5Lxk8kma2elr65sZ8C1jixyyaga\nrrloh8t92PD+EMCfBLB/kfafAvgRAO8G8CkAHwLwAQAfvPgtkfu6LDeAiYWonr4lqN5wqUfgLpx1\n8wJcjzMGLU+vP/c5pejgAPnx8TFOTk4GLx/vqeO2ubJ1Rp7Pndx7FV+VrzXH0CrLyYmjnGyPhiPH\nf2YAdJ7lYUC/Cj/AcgTk5sA4nRsuurIy6gnv9y+OEwDbAG5jDvp3Xlz/KIBPIwG9+3iEowoMbsJC\n8yr1NN4ZhkzZK69VKZczRg5g7Nn1U8MM+pOTExwfHy98aNNFDVquDj10zkAfgKkU2IXZ/D9bIeg1\nAspPRCXVK7FbZWv/cRtdu1sAdmWt0j5XjspQ39vH59yfMWzpNbY9oN8C8M8BfBeA/xHAvwTwHIBX\nLu6/cvHf0snJydIYLATkBKeeKe5pw1cRsiP1xo4HplZd1XCjCu8VdOHtIx8rQYA+vLzz9FquthHw\nj4y6ScRexVcjsKqnzwy5Ah9Y3GTlQOGIIy2+lvVFD68uf6s9WWivcsy+u1B5eu7jRwH6cwDfB+Am\ngE9iHu4v8HLxs/RLv/RLw/kLL7yA7/me71nMXHjalrdhULXKq5Q4A2QvqRFS/rkst9klUxyebefZ\nev6CLofE2h49d/dcpOF24WkZUScrZuZ5K2XlicssjToCfT12yCprs2t/S/6t/FxGRqtEOlkI3xvZ\nvPzyy3j55ZcfmacPehXAPwTwDsy9+/MAvgbgdQC+nmX60R/90QUr2gumzNsqMFhZqvA7eOgdYvC1\nzEI73jLgKx8thQtFZrAz0CvAZ/VU7WUAxpdbNW8GzGropv2iYSmvVIT8nOHmLbssb32Ftso+6xMH\nfu0v5flBqNf7VnlcRKX0tre9Dd/93d89OIQXX3wxLb+1APtaAE9fnO8B+FMAPg/gRQDvubj+HgCf\nyApgz1SRKhIf4zzrKC0nC6+yfC3P23OtBSoXOmftYe8VoOeltt6n/nraqXMJ+o32qqyMVEldvzDo\ntS43HMyikWxfQ08/u/7I+roqp5KD/nQFxfWnK6M1T6J1VNTy9K/DfKJu6+L3iwB+HXPgfxzAe3G5\nZGdJN+WocvORqcfyOu/oytBrWbqWMXHl8nl4n14Dwv+1Lg7r+adKkrXBgSBrqwNUy5it6rlcn7ld\nl9lQTfOpQVFelcdW+7WOnnJaOpoZv6yOzIBkwM8MxMOG918E8P3m+i0A72rkBQBMJhO7nZQZrRjX\nzqyAzZsvqg5x13s60AGtUoje6ECVF8ACwLMPcujSW+b9MkVteSsdPgVlb8DN5KJluvQuXSh63Gew\n8z23fZjL4OuV8e2lSier4Uwcs/Bd0zNesi3sLbw4euw78iaTib3uQh/tUF66YmuoVnE0upxQ0m2Q\nnMadO3Idw3xnaVtepAKXysWFgMp/KLsLcXVjT6Xwjh8XfTB/PR4lk1Nv3pYyuxUeBaOLMiqDl7W7\nJ7rp8ehalhpTl571wRkIrau1bXotoFemW16AO0s7KPP0zsv3UGaxnZK2lLUndMyUTRWmNebjcrJx\nrRuTtwyAizoqD6Ptb3n+DIhKbPw0aonrwOJj00puSS+LtlYhp4s9gK+iA8entsXhp1eeTGt5tNbt\n6VbKAFYJUwGlYz2lVTq4Ancrkuipj6MWvuY8fctbVeNxjXBa4WwGCqekmi+LxFy0lBkPDWn5Wlae\n6wuVby/QW9GPk1+vI1DeXN4K0Hzf4aNXv9f+hRugn7mq0a6srEN6O6g3zSr8c+eqEmZgyIwe4L+/\nxjPgrdlr5V+Vxg0ReDLWAbQCfKt9cV1l0pJDRlUU42RRyUbvR9t0m7SmyepS4PO11o5Vpt50Ga0V\n9K6xTFlHZ+uwWjYfXT0KPKegFSj5+sMAn+vRtLwO77y8/nSpTcfxKh8+5/A3ixycx9eyKsD3GDal\nKIs9Pe+xcHkV6NpmTtcCfBY5AIubq5R6HVLmiCpZubrcvR69XAvoW4CtGssbMlYp14E2C/scVQBt\neYWqrKrsbP1dPTGf84aa2Oji+HNAjTozwPNkYK+XzWSlnt21TfsmS1v1K/9YzpUR5P89BkPL6vHu\nWZ1O96tyHdidDCta65jehZUM7sqqAe1Q3tXN+Z2XYhqNFreV8vUQ6IOGVlW+TMm1fvXiuqlmZ2en\n2T7uh1gWPDs7W9qY4574ay3VVf25Svu5rZXx1+hD26c7MDMPXVFmDFqOLEvLVEU9Pc6R066il2v7\n2IXbUKHK0QIVdy6XrWmye1qO8jmbXX5UUe9xGq6nV9itdC2AOMAHMPmYeTDNG//jgR2OFuLIZc9m\nM7uz0nnv1hNfLQ9XlVuF75kn7gV6T5hfXc/K0/8t3VkF8A9Ca3sxpuuMsN49wHdeWkM5BXwWgrUs\nvgLfKVAWYjnSTs4scwb8qDM+DMEeXo8VZev3mafnIUOk4RecVm2oHoNlGTg56l4LNxSoQnjev5DJ\nexWjnRmSniXilsGpHF2mp72GNKO1rNOfnZ0Nj9jqpBwLvwL/KtY6MwhVJ6nAWIg9HVeV2TIOGkG4\nfKzAGoKHomcGictiYOgwgcP4UOo4RpkMNL3Hy4z6tRomfXhG19O5r1g+Wn/cczLW6Ex1zhly51T4\n3N1nnrSMXnI8Mq983tKTnvofO+j39vZwcnICAEuAD+oN71vkLD5bZLdZpWVpW/xkwwv977z8KuEe\ngzu8cDwNp/VFOfrYaxgMHgroPgoGYIAv9v0z8LT9DPp4SCjuZwBiI+zmC+Ia92cGDtcPaihc2l7w\nO6/LwI//rr6Kqjw9kSS30fHv6LGDfnd3dwgPA/xBCna1YlkHO2Llc55MPb0qawW4SOfureLl+X+l\nGC7qYA8fgB+Px0uvGFfQMh9u5l8Bdn4+f1lHDCWqrcAaoehDQlyXHlkODG7lOe67jVerACXTo5YB\nqUDPaRW8WQSieTWP8+wtwLsorqK1gH42m+Hk5GTodNdRlQFYJWTiDso8fctiZ+UGP/E/CxsV8Fln\na9lZHjZkAfrxeDyMuePRWwWehs0KNlbkADsbRzaImafndNkLO3kegScGtb3ZduNqZacHXI4qr7gK\n6CNNJpcevcoAr5RhhMtiWWe0lok8HTNmgHEd78JCRy5db7jD+SpSC+7A2/I8Gg5qGuaBx8Y8OcUe\n8ezsDMfHxzg+PsbR0dHSs/c80ecioIgeog5nGDUC48k8foVXvMYrzjXK2N3dxXQ6HZYWnfd2Bj9T\ncCfLirIynOxVdzJd0snCDOgtA+AAnzlBV4Yu31a0lo9dVLuYgior1gtiVeosret8YHnWXvM8iCXX\nOqtIweUJ8EZHuqHJ8fEx9vf3cXBwsPCW3NlshvF4PPw0AhqPx0shdzZH4H4RHcTLOhn8/BZk3sYb\n7eAhl05CZsuC0X4mZzgzckba6UlLV/me7idwRqyXRwV3Vm6GjycG9G47ZxUGV8B3R77vHjbpAaqz\n8JlhUHLe27WL02o+15ZQ/vDa4/F4SMsheYD+4OAAd+/eXXhpJgBMp1Ps7u4u9AUDnb0uj51df8Q1\n5otBHsCPo76xd2dnZ+CFDa3Knetznl51qeof7qesPxX8qjfaj5xOZeWcRgV2d68X+MyL7s6s6LGD\n/qtf/SqOjo5wcHCAg4MDHB8fL1gkBzIHekcZuDNLXYGR8wK513dpM2vuDIDmrSISngk/OjoarvFy\n3Ww2w9HR0cJrsbM9BlyervUHj1X4qbPz/P4+/vHYPoYewHx+J3jVL9lwfgYyy8cZddcvjioDq4B3\nedjgOoPTa3xUplmkWEVYTqfUKFf02EH/5S9/eUFBZrPZMLbb3d1d2iqpxA3Vjmt5c1WKTEhKGfAr\n78xluY50iuHCSz7OZpdj9vPzc5ycnODg4GCYvQ+LHmP5CKPZmzvjGn2h9TvDy+cMegd4fZ0XT+qF\ncTo8PBzawPMTHDGE7HUTkbatJ2zOAJk5ilVAy7Kq6s/yZICP+/zL3qvA6aNvWvTYQf+lL31pocN2\ndnbw1FNPAbh8wYajzLpp5/R0ViUoPVdQZ8B350xVhyrfzvtEmRxCR3k7OzuYTCbDkl2E08FngFzf\nbKtegOvO5l1Y6TS0V8+uX9HlMf/Z2RkODw8H0Mdr1ALYPDfA+wgU7OrtM9ln/zODnaXP+tEZyay+\njCen01pm9l4FJh1atKKexw76r3zlKwvrynt7ewCA8XiM69ev2zzqYeI8C81ciNzyxhVpPo1GWqGc\nu+/Cw4p/VugATwBtZ2cH0+kU0+l02Bqr6+KxnMcTqcDik3xcX/ZJrTj2At7tquTxf3h7HqaMRqOl\nCUjdU5CF9+oxewHt0mVGLyuDZVPVFemckXJGpRXaR3qWNUdvLXrsoL9169bC2HFvbw+j0Qh7e3vp\n2MNZclXUypoHZYbiYYg7KYscqjp6QR/AnUwmw2RdeHsGMOfl3Xb6Y5CwLFnGvHTH7dFNN+7DG9y2\n4GE8Hi88ybezs4PZbIbj4+OhvuCN5yJ016G2QWVWeW8HYo0Stf9c37r0Si2H0vLUVTjv+OMJVDXA\nFa0F9EEB9r29PTzzzDNdXhfIw/PKQ3Jed0/LcktVSmqEXPmZAvK9LGJhCtBMp9OFuuKpuFAMlkF4\navXyvPsuA32UrzO/rIAM+DiycgYPQWG0AAwP7ISyhqdX3tho8K5DN5avqGUEMp3J+rVFq+pylk+H\nUi6sj/4/OTnB/v4+9vf3cXh4OERRuvNVaS2g50bs7e3h6aefxvPPP18C5EFCqAzwWs+DRACOHzeO\ncsDPrjnPFcSePsrnyVAAS56RvXyM5RkoHApW4aZSNWvPfcOeniOira2twfuEp9fVA7dpiCcss9eB\naXivbagMfcvTV5Fli3TIoY6iFdJXk3aRPkD/rW99C/fu3cP9+/dx7949HB4elrw9dtDHzDOHgwcH\nBzg8PBxCVmDR0zqPxNRrebMQsFISvqYTeHyvMkS9vKoSZHwAWAB0/HfAcR5ew3hg+eGnSgk1vOdn\nFRQ4IbcI37UdUaYaKuaXwc6Ar4ZElfHn61UEx23XIUBWt9bfE+JXdbOMWMZ8L/oj9mfcu3cPd+/e\nxS0hXSsAACAASURBVL1793Dv3j0cHByUPKzldVm8ZjsajRZCkel0itFotBBW9gDqQYC/av6sQ/R/\nFYVox7nwkcfEfI3DO+AS+OwNGSzux543flFuZhzYqDnAZ08tRtlsMAP8LpLJgB8rE/x8Ad93fdMD\n+grMWf/FkSc4q77VfmYjmOlKz5CFyw0nGvtfAuz379/H/fv3r97TM5OxSSMAf3h4iL29Pezs7CyF\nyertH6Z+7dze8rLhQk8+Z6VdOc6iK+jYKMQOOveILIPcnfOYmeWSLYPpWJ4fsQ1+qh+AhciE2+jA\nHucBen58uDWmb4Xh2TDAlaf959JVRqPX2/c4Hq4v8qqnj7Cex/cV9YJ+G8DnAPwegL8A4FkAHwPw\nRlx+y+6Oy8hMxtbQsFD7+/sD6KfT6UKeR+Xts7BsldBcO0kfxX2QspzHZy/b8vTZSzRcGOwAzaDn\nupmUDw3rXZ2an8+ZDzcUifNsLJ95+ZBNRtW4v4oElWeXRq8/jIPSctwQKrAUs/aHh4e4f//+0oRe\nRa2v1ga9H8DLwPAd+g8C+BSAP4T5By0/mGVk7xKdeHJygnv37uGb3/wm7ty5g/39/aUdYg/r5XsA\nsOqvqiuOlcfJ5hHUq/dEOZpej9WkEcuHwZYBV0FavUDTGRIFuxt+uB/zWvVDVkcFxh6HonsW3C9r\nJxvwjN84Z56qnwL+6Oho+PGyXattPaB/PYA/B+BvAggO343512xxcfz3W4WwcgXo/+AP/gC3b9/G\n/v7+sBTFAgjqBZ9Lv4pCZkDvseSVx6zyxT3tXPaqqmSazgFewZ7JUwGY8avAb02yOVlnIM+iBuan\np69cX2egyqgy9ln+LE8WzblzV4eLKHmTEw+TA/Q8HMyoJ7z/GwB+CsBr6NpzAF65OH/l4r8lDpEU\n9N/85jeHJTy3mygTVg+xIjxIGcy3Cw+1rlYaTR91BPHjp3GvUtK4xh0cY/XghcvRtjugKPA5bQCe\n63ZHNZQK/tbEoxqgCoBaDx9DNqtEipnh5n6oPPgq9VR9mkUUDPqH8fQt0P95AF/H/Hv0fyJJM8Nl\n2L9Er7766mC1YrPF+fk5Dg8Ph2WGw8PDpbesZg3PyFlQpwj8vwqds/sKcD72lOWOrr5qr7WmrULC\n4C8zoJpO63BerWpHJruWh25FWFxO1i967oyF442vazlOJo63FpA5j5N3BfT46Vbmo6OjYftyzN4H\n1ipqgf6PYR7K/zkAu5h7+1/E3Ls/D+BrAF6HuWGw9PTTTy+EosBcoY+OjjAajbC/vz88JVYpbwX+\nTDmye5wmU9JWCOiAXoEnjhlItM4W4NWTc2c7j+giANeuiIwcgNnLRX2uPS2DxWVl4XxGVf9n0Uyl\nH1n5rm+z/nXpsjTOaGb6recB+nhoiUE/mUyGVbDZbIZ79+6lPLbG9H8dwBsAvBnAXwLwTwD8FQAv\nAnjPRZr3APhEVgCHhjEOnM3mu7Ji1vHo6GhhDbi171jLz/5XStAaT7lO0LIzz/QgZXO6HtBEWpcn\nUyAHSjbIvTy68nr7LfP02dCip/1RLpdf1ZcNFxzgeuXh+HJtr/L0ePqYsWfQuw1TFa26Th+t+GkA\nHwfwXlwu2VlyQAjQz2az4cUa/Ggoe5Me4Fd1uf96vbKwWR5HPQCpvH3L2LSil8yIVPyeny++abZH\n1plHb608ZOP0DLBV/Vruqsa/KntV4xP5Wm3nsiujon3AoI/wXkHfa5CA1UD/Gxc/ALgF4F09mbih\nGhq6mcjxeAyg3pbrGueA4ay+8qb3gt9eA8PlKBj02fKqU135zmPxxhptZxXBOHIKvqrS93g15rUK\n57UMZ5S0jh5es/BehytRp5Nv8MDXNI/y3gKiW251hlQfTY49LgF6nbB81J7+gUiFyJt1+E2usakg\n1vRZcNz5UWbWQS0QBGUKn3WUAl3bpB1XhcyZorg6q3Zlbe9tk5ODq1/57IkKNK/bC9AzFNK+X8Uo\naV2sM8pL9ai3q1fl2upXjSxZX6ohljrIDPS9RnAt23Cdp+dXKcU45fDwcAHwkb/H0wetAvoWv/Gf\neY/zLG2Pl6/akHkz3XGWhfwZ8Ft1ZW3O8qwC/DhmW2mziMMBX8PkirK0lYy0XtXdlixa8tD0mYMI\n4q3QDPoI72NtXqOQitbi6YOckp2fny/MSMZz5C7kWgX8q1Bv2O/uVx2vaflaBiwFyWw2S71cFkK7\n+vQ8ixrc7L0rX0NcR2ywqkgEuPyYKZ/H3oUog/8zLy09eBg9URlUwGdqyUbzZroT+NB1eR3Pr0Jr\nD+85DInNHgH6+/fvYzweD1/FifQV4F0ntJQhA4uGd67szBhl5Dq/ZwihHp7Bn3lovZYpaJw70Md1\n17ZsmMF5lA9+XsC1Xb1alMnno9Fo2MehW3R7KTO+leF0kZzmX8UJZc4iKw/AwjJdrM3zZhzd1NVD\nawvvM4WYzeavP45xyu7u7sK781yYp2O8qt7qmt4Pb1LxHfccby0gtzrGedys7lZ5Lb6jHuaNPXJm\nWLPhk6uPQe8MFpfP7VXAuwiBQ/2HoSziytrk7j1s1Jnln82Wt922vHwPH2sN74FLMDFo2dNfv359\n4e0wkaf1A3ILHdcyUkPAgM8806pWvsVfptjKH9et7eq55oDHH6tUMPV4fK1TjVcAn8evLZ7ZyGcR\niYtcWtTqAz5m6TLZ9AK/6gv9z2vz4elj8tu9n7CH1g56VZgYs4Snj3d8uQ0qLS9XhWM9HdzLfwWI\nrK5MQaqxsr5jgNsVPy7bGagoJzOSW1tbw3MPPZtkMkOra/3hvfWpuSpKc4ZEDQDXqf2dgba673ho\npdFyHxT40aZs5j6wcXR0NHy2LPChG3KU/4rWCno3Xp3NZgue3s1IKvV418zyV+H9KpRZa44QXN2c\nT+XBPDGoHOhbRpHTuWVE5imO1ZNuVSivQwIHeh6yZAbI1aMen9ugkZB6OyfrrJ9YzhnwM+Pr7rm6\nOE+1VMfXFfQ8ns+cWkuv1wZ6p0AhjF5PD+QhUTUmy7zpw5JT3ig/eHLDhAinnVy47IiEnAzi6EJl\n5o2XfDKPz7y6x1/VEFTKxmWqp2/x7fqFAc95Mg+vurWKJ3R6ovwpeDXqcmVmOlz1R9zn12Lpfntn\nmHvosYPeeQgWQjQsXv0Tlowbxss5TL2hFKfPQsPetmib3H09z0Dr0nIa58VZ+QMM3B4HSPUi7lwB\n03rkVb20eswsYsg2WGXP9Tv5VN41i0ZWocqJZE5H68yAXIE90unmNbfX3umQ0wFHa/P0ToEBLFgz\nfT54MpnYsJDLaFlaTtsL+EpwzrK6cns8isrCtcvxqwaQQ1935PJU8fjpxxbo9QWX2l5tu1te4zo4\nitGxf5Ynk92qYK8AonVU3t3xkqXV6MtFIgx6Xp/X8by2PdMVR2vx9EFZKONmKI+OjobPNmUC7ulg\nVXzmSf/3tIW9YtZOve/ucfiZAT1rZ+adFeiVEWTlc+N8BTtvFGLSXXJct+6+c3Jwnt61mY0/t6MH\nuM5QrBrlVSDOwKte3e2+c/Wop9fn53UHXuY4MloL6DNlBi49vVuLPD4+tm/KzcgJ0nnhVTpey6xC\n/NbEEntRBT13JF9zM9183Y3rer2Xeh3Xbm27C7UDtM4IOfC5IUI22cf3spA7C/+r/s0cQEteFdC5\nHAfy7MEaxQcPeRn0vCHHtaPHCQJr2pzD5DqCgc8ef3d3d/iWW089vQ13StJjADIAZ+mcwrNyc4er\nEciMpAM616FyGI0udz66titFfjehl423s0jG1ZUZKBcVcBuqpcQqolGdyCI15U+jrMwIZqDL8ldP\nxM1m/u04vRtyeqOXtYMeWFZOtmzRwIODA+zt7WF3d7f76acK8D3Krh1VlZM97un44usa9ra8iONL\nI4nK0/VOgOq1bCKvGqP3ePrM+yvo2RBXnl7L0XMuh/WI27JqqN9LVd9mkRUv0+mGHAa90/nK2DKt\n/Sk7vQZcPlfMnp5nKytPnyl8RQ/SyZnyVp7e1dVas85An3Vuqy1qZDLS8plP9+55NiwtwPcAPzMG\nIbOsDT39nUVNVZ2av3IKCkAHaLcu7+qIsbyCnvevRJ1cX087gta+Iw9YFlI0hB8djC25sS2Xn7wK\nLxsCrLxLL1Udq56Vz3ueAXBeNDNkbPHdppo4589M6ddnMo9SLRVVCq/r5CwjZ7ycoXEg1/96XYcy\nPQ/atKI/5t1tYdUoVOWUGRAnt8yrZ2kC9Or4eG2+9ZacHt1f++y9djYr8tbW1gLo9ZlhVj4+Z4Vw\niqN8MGUW1/FftY3LUiVxXtsZJ/UGDGoGvgI923yjvKix6FFI7iM3rub9+u7I78XP5FcNB4Dl5bzM\nw7k+YfC7fuA9IE5vHMhb0UUVubXS8FN1sVmNX2/NS6w9vDha2+x9kOsoXpdk0O/v7y+9xD+8ZIA9\nHrlkC611ZvXyPT06YVbeigHCZTgQqgdTxeQlGwWpGgMHem1XlM/pXIiZySTaxZuBWA4Z6GMCsRfw\nuvlHZa3e2NEqxp3bw6sh2v7K02eRBP+vjAUbc+fpGfTxWbhWlNGitYT3WagVnpqVORrsHjBg5dCw\nvuXRW1SFYlmZzngxcOPodr657a0M4ljN4O/AaxSgX5J1QGagaCTRIxMtw4Fe2xHnwU8lvx7ZOuPo\n5O/yclqOWrSdqwLbGfLsPpfJ/1U3nPPj0H6VVayKruSBG3edFSVejx0hfkxmRIP4s9aqOJk3agnC\n3Vfv7ZQpzrOwXD0y86MTVOzdA+z8RJUL77VO7nQFoSparxyy8FvvqazjE1ix3yLC/ey79Lrrj4Ha\nE9JmvLuogcvKQvgeb1pFdpkxcMO4+PHSdfbVmpYut/i+kom8IKegZ2dnw1NF7O3j2/b8XDbni/Kc\nd6rqjzSZhXSek42BWmnuPAdeB8gAZaQNax//+anDatzPwODyA2gagSg58DrAO+DzMWTGwHYfvuRv\nzzOPusKhfav1tvpQ+esJ4auQXCnSaMSVhfMO/KwnCnqNFF3bKzkpXZmnV8sVHR0hPoM+ZjC3t7eX\nvo+elZspLXe4U5oe3jWtWmwGbKyvRgcy6aYX7vgsvK88hUYSERUFuKLdbDQreWW77FQeTKzUOqGn\nH7+MX3zqjHniJxE14uI+4Ggg61vtQy6r8s6Zwa/yVR7eAZ4dhfP02V57B/oeAwVc4YsxmbgzwtPP\nZrOF727HSzMnk4kVbJRfheScrgK5KodTNvXuDFS11tyBLAcFPUcG/NOJPD1nbx88MugDaFG3A73m\nc3MOqwCey+PQXcE/Ho8XwK/enyf3qihkFX4z58P/KwCtAvxWeJ9FhzqB63jX/y3HFXSl4T2w7K1j\nTH96eor9/f1hbL+/vz+8NLNn5tlZPw3Ne/lyijCbLb7GW4HOrzXiHVXc8TqO1TmAbPbeefxIFzwH\nAE5PTwfwBN/ulw07dLmtNQRyoFfgx5EN0ng8Hn4cBYRssp/ODfB55hFHo9FSVMR6s0pI3wt8lZH2\nsxr5nmVV5pnb+MSE9y5UUgUKIAU41NPv7u4uvDGkEkhlHTOjkPHFadVaazgWqw/u4aH4lBcvObKS\nVmG7gt1FGy68ZyBoG9Trc1vV07YUT5Va+VBDop5/MplgMplY8CuItW1sPGaz2TCUcevvWdTg9Eaj\nxRaQ4xj9kEWiWXivkZ2usqjOZhFXdj2oF/RfAfAtAGcATgD8IIBnAXwMwBtx+T27O1UhGbP8n0Pl\nWK+/e/cu7t69i93d3YUXAjpr6+pTa8j3Mr5UObj8ONfOUvAz4PVjg2dnZ0sgUDDrzwGe+QhPrwDh\nCcQM9Ap89sgsp0rGmQHtAX8AXsHPoGfwxzkPCxwPuv6eHZVUP5z+tLx6Fg0o4NXDr+LpH4R6QT/D\n/Pv0t+jaBwF8CsCHAHzg4v8HNWNvuKR5IjTd39/H7du3hyfurl+/jpOTE0wmk3RDStWR7p4bK/J1\nLaPV2aHI8dGOaM/Ozk46/o58CkYHcr3vynRjYad8Eeo6RdVjptialmXtxtnOALDyHx8fW0/vVgPG\n4zHOzs6GycD4hezV6/eQa4/KQK9Vsoj/mWd3Br5aWq08eQ/WVgnvtaZ3A3jnxflHAXwaCehXYYgV\n4vT0FPfv38ft27exs7ODa9eu4emnn7Zr162yHeCzEF/5VsOVeUqOGEIhASyEodzpFaDYALg02dJd\n1K/LXXFkY8Fj28yL6301PFo+p2VQK9i1vyNS0vE8DzNcOK/G3wFPvX1G2sdMTk6ZTnD7OX8MB3W+\nxg3jFPiqg84x9TrXVTz9r2Ee3v88gA8DeA7AKxf3X7n4v0QKLAZGRhyW7u/vD9dv3ryJ+/fvD+F/\nvGDDWeC0IeSBlMcqCuD8rZCOw+LRaLQAdu3szKNrnVq/A7wb02v5oTxxL0vH9VbGpvKGGsqrPDmd\nW7dXzx7REk/8af+rHsSwKc6Zh0xfWp4+6xOXn+uKvloV8D2Ycfxn1Av6Hwbw+wC+DfOQ/re0novf\nEt26dWtgYjqdYjqddgE+Qr5Yvtve3h7G9nfv3sXOzs4AqPF4PORxQtJOqITovNHQyCQicJNmca4z\n7drRWadnigcsP5ijkz7MP9etoHX3FLAhLwY98+48YgV6lSd7Yze8cn3R6iNnnMKw8YRmlOXIGT7l\n2RlrZwBYbhXQK+PFbXd8xtwRX8uoF/S/f3H8BoC/j/lE3isAngfwNQCvA/B1l/GZZ55JG5KFXNGh\ns9lsYSfbt771Lbz66qu4c+fOMNaLiR/2XIC36uzZtL7qf0YKdtdxUTfz4MZ2Thkqr+JA7ECfgTsD\nfvwUrJnyKo8Kep1fYHLGQb185undMIDr0X4IwFeGO+NP+9CBXQGvfZ4BXvNkupNR3J9MJphOp8P1\n+/fvp3l6QH8NwDaAuwCuA/jTAP4bAC8CeA+An7k4fqJiKshZKmfZA8QsoLt37+Jb3/oW7ty5g+l0\nivF4jL29Pezt7S1YdA5hM6FpmKkhvlMezqsTUQF617bM82abcXTrZUvxslCb66vA7urS2XsFvT7b\nraCPvnDr5U6hs6U8jZ54PK+bfZxxYb1g8Ds9YP5asncGNwMwg143W7n0KqeMnBwzA8bUA/rnMPfu\nkf7vAPjHAD4H4OMA3ovLJbuSueq+m9yZzWbDBM/5+Tnu3buHV199Fbdu3cJ0OsXu7i6eeuqpIRLg\npS8FvpuMi7qUuP6MFPDq3Vw6DZV5c4/uvc6UKXhXMDulibTOK2VhPYM+flxn9EnwrgDh8rj9rs/5\nmIFeh0vZdl4GvRvWqbfvieYyD6zyygxnj5fX8vl/xlM2L9JLPaD/HQDfZ67fAvCuVuZVmFcKhYlQ\n/ujoCLdv38ZkMsH29jZ2d3dx8+bNYc07jgouBr6rz91XPvQeg515jWUzve68HStv7E8Yj8dL6/nZ\neC8DPtdRKazm5Xu6qYfLY0NWlR9y0nG664Ne0PN93b/vlvbYAGTRHZMzmpkcM7ADi89j6Iw9R4TV\n/ITjQZ2RRsk9dGU78vhaFkqzl9ja2sLh4SHu3LmDs7MzTCYT3Lx5EwcHBwsbXVwHOGEpZR7f8cmh\nfUwoOq/vFN9Z6VAQ3r/vtuFm4K+MQuZFMsMR59lYnA2C8qR86Jg+Az7LLwN9Bn4N87WsFhCcbjhP\nm3n1KrTX4Zuu2FTzHVxvxq8DfA/wr+RtuL1puAOB+QzlnTt3cO/ePVy7dg3f/u3fjoODA5yeni4o\nooK/5cmzurPoA1icKNShBSuDjv85D9P5+XxDiQv3dbbfAbgH+Cpv57Wi/EqJMqBXoM8MX1AVxvM9\n583dfvuqPtWJlm5k8ta2ax6dt9HJT9aF3qjDefpVvDzwBDxw40jHxNHIUPyjo6NhXz4/ax8KwIJY\nRRiV8VHwsvdX0OtsuitDQaVeihU+JvZYaVgRWzPxvcCPiEkVWGWja98c0bhIzYFe+7gCvQO8ll0B\nPruWta+KgtzPRQbV5B232x2VB+aj0qVeuvI35zhFjLRq1dgT8Zc/Dg4OAGAh3H4QwSiYgg/1WnF/\nNLpcJoywlz1mz5CCeeOhAo9bXZjP/HKdmUK6tvEx+KjGqVnko8OgoAqs2n43ZlcvnoG5BfjgRcNp\n155VAO8inCAdzzsnkMlR+eHyNaSv5J/RWt97D7T34ruGhzLyOCkeZol3gwfgY0InhOxmjl1d6vmU\nZz6yR4v2cP4AvFvScjy4KOLs7Azb2/OXhrjtu/zTSb9qt58CPs5dlML5K8VykUvISb21A2YWrjsv\nr/3R683V4Lh+5/7vAXwWUQFY6AtegnX6lwFYDRD3lTMSLWwFXdn36YF6gi1rEC9z8ZNssQ87xvfR\nwdW4WiOLlsCy2WpnPIJUQTJjwhFE1BWgV6/ByuXAHgCJtJVyMp8uUmFlc7Jg/lWJHegV+HHMZupd\nhODk54CvaflXDWE0gsoAX81ncH9on2V8OX56nUavlwfWAHpnnVlZghQQmsZZwhC8PtqqHczeRENa\nrovrriKUrA16L/5nwNE6tRwX/mp69tJsKHTGvwK+erbZbLYwO1/NEThZB/9ZaK994oDuJufUaWSe\nsgp5XR9o1OMMOw8tnUxV1joky/hVXXHgd22u9KZFawM9Uw/YNT17kkjHHpDfXuMUS3lipdeQKuON\n07oOc23m6867OOKynXfLQvMAvAK2Am5mFLKJKhflZKBn+VeGOPPuuk8gcwCuzuCV5cRUeU++7+ZL\nHOBZH9kR6QSczmfoufLg7ut/jjafGNCvEnoAy57WNVhBz56elYaXSCKf8/ZZ/Y4P9nDuvkY3Tvnc\ntaxjVVk0SmHl1Id8qjX+yiA45eb61Ghqm/m6A2gFdr7ujK6CvroOLL8WXduTUcvTq6yy5yl4binj\nXWWXOT+XRvWnBfy1fuyCyYXKrTJcuMjlcefEu+FGo8v35DuFzLx9xd8qEYFO+mmazGvxeXaM81Bq\nZxjivpsAzMJMVea4pvLhMpSvVhscuLPhgAthM+/I/dHTXnesIqQqtNc1eY3sWgYrk1urrdzmHrqS\nJTv1VHFPFYvzxLlODmlDuRNOT08tiPScx8pcjiPHo8vjQs4setAQltNpWRlfWdSh/GWheZbWyaIn\nNK7IATwbAnBbFLiZ9+b/oQuZF9V2anTkwK/AV8Dz23CUZ5VDHFvg1rQqb+3/iq5k9j7IKUel1OwZ\nWg9YxOyz5neeJ1OCjDcFvgMot7kCvnZ21oGcvpKRHvnHissRQmUotOxMDio/BZMzdC3AO7mwLNmb\nK28AlsDqylSe2WuvOo5n4LOXzzx71k/OOLSMeKv/mNYe3jsPr/9bwHcPUwRxR2g+B3o3o+/CSafI\nWrfm6e1M57VcWne9MjpaBw81Ypyp0YlTUL7H9cbRgUdBovy5yTq+x7z0GMqML45qVG5BugyXLdE5\n4OtyaQDf9a8Deib3FlWOqVXOWkCfKXF2jz1iZZmdVdb7bjab6w/l52PmobOfMyTa9lVA7+QSfAR/\nmXfLzvmaA2bGr+ND+0+jB+1HJ6fRaGSjtZZcKlID4+Yk+JzT6S8L8dXDuw1RqkPqbHoiGyXuc+eU\nnEHOaO078gA/A62d7sJbPjrAa4dHWQz+iAAY9LrkwZ0VdWYezOWNc106cp6p6uzMoGTe3YW6PcB3\nkY6bjWee+ZzLqQykysZtusmijcp4Vu1y8mCegeVPeLv/XJ5L6/bXazu1jSErZwSC36ydXE7WTxld\n2QM3mWerGuw8vYKe0wXw2durYKPjnJcHlr2VCwVdh2V7AVQGPYqcRRuZPFVO7n8FjDCUmbI6z8JG\ntiqf5eNA7+pxxs/pD7eRIw6VlcpEvbX2bxb+uwdq4hiTw+rptX2aZhXAZ4bwyj09UxW6BFVekdP3\nNJIVIDpEeeB7bveXlsflqhdzkUGLR8dvRao8PDZfpeNd3VWbWcmcIcuiGM3rIqoHITbsziArsLP8\n6kCcZ1cdcoDn4aXbb6DRlPPSTp5V+7W/e2W51tn7OLrOUIvO99VjVkJzBiGseYCSn8RTY6ChV6U8\nypcTvAsve/47g+E6lUPElodj4n7Iyta2xTXNm0Ud6qFXBXwFVv4ffajgj/utchTMDuyaxgGfdUcf\nDXYRj4tonByrdnDaSk+YHjvoVxl39IT2XGZlADhfBuwA/Wh0+UScW/vvDZ31estYOPBU3knbH2kY\n+MDiBFaW3wE6k59LWylpFQko2DOdcPLR+9FWndNxv1YZGspz2zPgM+gj4speAMKTzOpYKn1z/Goa\n5zwrWvuYPphSZeJ76llagHf3FEwMfP7pxB6Dh8t155E+8/KarnXdGRAlZ9F1aOHk4ADaUhDXF46f\nilphbEWZTJkfDe/juvP6WTkZ6OOeA77+eA7EPVkYZTnH0/Lo2bUgxc2Ve3qmSvgt5WJyjWqFS87j\na34OkyvDxDyuqshZGzIvX3V2FnW06u1Jp/XoRGeUlYGSla9HEaO8rKyMRxeJaL0ZaBygtR/0vjMQ\nrHPVVnGWmXp6lqXWm0VU3Ba+d+WePlPurLN6FNKV64Sp9XIo78pjZVU+3Xoy85EBQMt31OPhs3u9\nYNdyeilk5lY2nBd3vDoQah6N9lzbetreGoKod2+9c0CNgYb5XJd7gMg5okhbefvMELm0Sk+Up1fS\nkKTHw1dpWJhZfQF4BrgLj2PZJQN+r/fqaYeeZ6B/VMDPyqiA6zySU9isvB5y3q4yiBngNRrT9Bqm\nV/MB2XJdBkZ9iCgL5zODGXy6SUUnI9fOFq3V02ceIAudNb+mrby91snEHaqzrrx27JRWd9tl5LxU\ny6NXkUCVf9VOb5Wr/Gg7VPFaUU5VP9AXDfaAPssffR33dFxeAV6X8jhv8O5C+0w/q/sZ773929sP\nV/42XLV46vW1EdmMpysvuw8sdn781wd5ePlLeXDEHaRDjFWAysMLLTdTCPWQFbWMVeueAj2TeebV\nnFFWIFRr7S2w8zl7awUze3HOw/fcbH3cd969ZxioEaPynwFeDS1fc3Vl1Av6pwH8TQAvAJgB5ljt\nfgAACs9JREFU+AkAXwLwMQBvxOVnre5kDLjO0zGdpmUjoCDMvE10gAOsUzY34xvr+C6/A5q2ixXJ\nUaa0bvjiFFk3ofRGOFm57pqLvpyBcQZa+aj4U32odh62gJ95agd2F6Zn6arZ+uzJT5WDysdFkj2A\n1/JY9tVwi6kX9P8dgH8E4Mcu8lwH8F9h/tnqDwH4AIAPXvwsY06hM2azxmZgrspy5UQdDkAurZah\nxkp5bnnzTA6t9JlChxJxGseHUyh3z/GkedRTOQXkfm/1c4DIGWEnD2ewohzn4TOwt0DvwK4GMJu8\nYzny0Xn6zLC3jLdGUI8qvL8J4I9j/mVaADgF8CqAdwN458W1jwL4NAzoHZOZ0veS5m+FkNl5lKWg\nZwWIDnX8ZoJ2Rq7H81Z8qVIqCCPcdIYsW5rKJrC4DcpPBWDn4VehVeTFPCl/zqBXcszCf+fho75s\nE47z4s4BcWSq0ZTrjxa4Vf8r6gH9mzH/Lv3fAvBHAPwzAP8Z5l+zfeUizSsX/y05q++8ubN8mWfQ\n+yqUbOujlqnbL6Ps6Px41RbXGcaAPazWwXkUMFlarccpY+WpXX0O6NVsdQY8tzyVEbczMwaZklbA\nD/3o+WWGrwI8X+OxO4NeAet+Dph6zsPQDPQ6nI2j6o0+pdiiHtDvAPh+AH8VwGcB/CyWPfrs4tek\nFvBb5IDsPE9m9bjDgEtl5tBNQ+cMyPwghWsbdyaXx2lb7ayUNNLpMQN9Fvq6fNwmBUzIToHvwO76\nVctwRl2pMqaVcczOq/Ru8k7H8dmntzJ9ZMochjPSmaPojWQd9YD+9y5+n734/z8D+GsAvgbg+Yvj\n6wB83WX+5je/OZxfu3YNe3t7qYV31oyVUL2NhkgtwHM+XgXgrZJsYV2opqBQfh3gFfSrdpIC2IE1\nO29NWrW8PZfF/aDt1/NsyBP3eAy/yjBA29gaqmReX725yso9cRe868RdBXjtb9YBlRXL3fVDJk9g\n/nHX4+PjLhn2gP5rAH4XwB8C8K8w/yb9v7z4vQfAz1wcP+Eyf9u3fdvApJJTjLgeCqGhjnohN3lS\ngV+v6eOPChZ+Ok+VP45cv5uVZWVyVr5SeueJW2F+S+EdwDU9X1NeuG8qmWufxC8z8KsYwB6D5fpz\n1Z86mdYXdV17Vf+qNlfG18ki8k+nU+zu7g7/7969m+brnb3/TwD8HQATAL+N+ZLdNoCPA3gvLpfs\nlkitXFxz3lzvx383nlIPX1nYLMwCLj8fFfVwh0cdbgMH02w2Gzo9AxMbrgANr+X3Aj/z2E6OLn0r\nrM/KZh5DNhnQXR+7fuGIKvOKcT8UvPLkrXapB3cA13SR3zmJLLRnebX232f9rfW6aCCLGFvGsxf0\n/wLAD5jr72plZPBy5ymwXSMjDAzQZ6FUS7CZkQHqTTShBLp1l9PwzD4rpZaVKWYP2LXuHgBrvVn4\nq23NylYPnXn5ypu3jLIb4zqZZLJwMteQ3b0GqzIC6ogc4PXlnlk7WU9cv2f9o4DPgN9La3lHnmPS\nAU2tfHRUvFaYN80o4Ks993q/8mL8P5SXn7XnvOGxz88XZ/nDWLFRU5lk99Ris2zYQGn5DshZucqL\npnf94e65drSMgbaD2wb43Y6Ot6wtzrPrZJw+ZJNNkirvq4zl9X7WL64fnH5m7VdeK/kEPXbQcwgX\nVCl93I+8DHqefFPhZtZT00b50clsoZnYuzsvyePzTEmqznNtdt5Uy4zIQqOErK6eSCIDvPaTK9sB\n3hlT7qvKIGoeJjevo+1RwOvrrHSVxkU2ziC5GXv+Mg8fnQHg+YGM78zT91ILV0FrexuuU9JWvui8\nAP329vbCJ6qyNVFHCnoeU2eCYuXRzhiNRsM8Q+RlhXb7BLJ2Kp8V/2p4tCyVcy+1DEZvO7IyuCw3\n9+HSV0Yn84IunOcXV7rwvQKaevidnZ10M07l6VvAVxk646PpVnGkTGt9732lkOwZQzj6iaBI1wqx\nXNl6L2brnYWPtAH24E09DZep3p3TaSdpCJ/x6Dw+cAma8Po6y5yRG8JU+Xo9TQbKKsxv1Z8B3h0r\nsPO35Thdj9EBFnfe7ezs2I04Geg16svkzO3QdrEOtIx5b3/l26oeIe3v7w/nlWUdjS4n7k5OThZC\nM/am1RZIJu2Iz372szZci7zawRzCBblxYijY8fExjo+Ph09mK++s8J/5zGdSPh04VKGCx+CzmtOI\nMrK6vvCFL6T1Oh6ZnHdyyqcekCfB2IB//vOfX8qfeWQ3EcdA568ZO4/vjD0D+stf/nKpa5q+ckLZ\nedY+lS+vwfdEthWtHfRMLnyZzWZLoGdPVi2XcFlOiT/3uc+VHZWBicfuGeAD6AF89/VSZ4B6AO/a\nFLyOx+MlRXTGT4+c/otf/GJaf5Zf+7ECv5argGfj+tJLLy2Vm5Vdefjoj9AjHdvrOjzz6UCvYX3r\nlwGzAmtmNGezGU5OTrqGWJnRZbqy5+kzxqIjNSxTa5xtfVRqhZhaN4dVsUzIBin4c+XwPacEjlpA\ndyFeXI9rjs+MXFnuflZOBnxO70JZBlQmu4pa4Oe+yR6UacnF8ahRSTZjz/J3Hl2HK5zOGUoN73up\nJ8Rfi6f//xM9TNh11fVUZa6rXY+T/r/QhkdBj1sKn8bl47cb2tCG1ke/AeBPXDUTG9rQhja0oQ1t\naEMb2tCGNrShDW3o3xz6MwB+C/M3535gzXV/BPPXeH2Rrj2L+cs8/xWAf4z5W37XQW8A8L9h/g6C\n/wvAf3pF/OwC+AyAlwC8DOC/vSI+mLYBfB7AP7hiXr4C4AsXvPyfV8zL05i/rOY3Me+nP3qFvKxE\n2wC+DOBNAMaYK9pb11j/HwfwdiyC/kMA/suL8w8A+Ok18fI8gO+7OL8B4P/GXBZXwc+1i+MOgP8D\nwI9cER9B/wXm72p48eL/VfHyO5gDi+mqePkogP/w4nwH85fTXmUfddMPAfhV+m9fkf2Y6U1YBP1v\n4fIFns9f/L8K+gTm7yK4Sn6uYf4KtBeukI/XA/g1AH8Sl57+qnj5HQD/lly7Cl5uAvh/zPVHxsvj\n3JzzHZi/Zivo9y6uXSV1v8H3MdKbMI9APnNF/GxhHnW9gsshx1XJ5W8A+CkA/LjgVfEyw9wAfQ7A\nf3SFvLwZl2+f/ucAPoz5dyYeGS+PE/SrPQy8fpph/TzeAPD3ALwfgL7EbF38nGM+1Hg9gH8bcy97\nFXz8ecxfpvp55JvE1tlHP4y5Mf6zAP5jzIeHV8FLvH36f7g43sdDvH3a0eME/b/GfAIr6A2Ye/ur\npFcwD42A4g2+j4nGmAP+F3H5EtGr5OdVAP8QwDuuiI8/hvkHU34HwC8D+Hcwl81VyeT3L47fAPD3\nAfzgFfHi3j79/bh8+/RD8/I4Qf85AG/BPJydAPiLuJysuSp6EZdf6nkPkjf4PgYaAfgFzGdif/YK\n+XktLmd99wD8Kcw97VXI5a9j7gjeDOAvAfgnAP7KFfFyDcBTF+fXAfxpzOeCroIXfvs0cPn26X9w\nBbw8EP1ZzGeqv4z5u/LXSb8M4KsAjjEX4k9gPjv7a1j/ssePYB5Wv4Q5yD6P+XLmuvn5w5iPE1/C\nfHnqpy6uX5Vcgt6JS4dwFby8GXOZvIT5kmro6lXJ5Y9g7un/BYD/BfPJvavuow1taEMb2tCGNrSh\nDW1oQxva0IY2tKENbWhDG9rQhja0oQ1taEMb2tCGNvQA9P8CZiwyT7puqAQAAAAASUVORK5CYII=\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "n_dim = 400\n", "face_compressed = draw_face_compressed(face_01, n_dim)\n", "plt.imshow(face_compressed.reshape(image_shape), cmap=mpl.cm.gray)" ] } ], "metadata": { "celltoolbar": "Edit Metadata", "kernelspec": { "display_name": "Python 2", "language": "python", "name": "python2" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 2 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython2", "version": "2.7.9" } }, "nbformat": 4, "nbformat_minor": 0 }