{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "

Pau Machine Learning : PCA algorithm" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Voici le premier épisode de Pau ML, dont le but est d'échanger autour du data science. Pour commencer, nous attaquons une méthode très classique de data mining : l'analyse en composantes principales, ou PCA in english." ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Populating the interactive namespace from numpy and matplotlib\n" ] } ], "source": [ "%pylab --no-import-all inline\n", "from sklearn.decomposition import PCA\n", "matplotlib.rcParams['figure.figsize'] = 10, 10" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "

1. Un exemple jouet" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[ 0.84358168 0.15641832]\n" ] }, { "data": { "image/png": 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svMMXYX3CTE9/xGrtV9ZarZa5ePGSqdXmI1/bMtYtJbkWo9YPK1v7TBpRI4VJ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\n6f37KmrwHva6I0c+oLfffjv28QBAqUVZbCrtj0q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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "alpha = 4\n", "size = 100\n", "a = np.random.uniform(-1, alpha - 1, (size, 2))\n", "b = np.random.uniform(-2, alpha - 2, (size, 2))\n", "c = np.random.uniform(-3, alpha - 3, (size, 2))\n", "d = np.random.uniform(0, alpha, (size, 2))\n", "e = np.random.uniform(1, 1 + alpha, (size, 2))\n", "f = np.random.uniform(2, 2 + alpha, (size, 2))\n", "X = np.concatenate((a,b,c,d,e,f),axis=0)\n", "pca = PCA(n_components=2)\n", "plt.scatter(X[:,0],X[:,1])\n", "pca.fit(X)\n", "print(pca.explained_variance_ratio_)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "La sortie ci-dessus renseigne le pourcentage de variance expliqué par chacun des axes de l'ACP. Ces valeurs sont calculées grâce à la diagonalisation de la matrice ${}^T\\!XX$, qui représentent les corrélations entre les colonnes de $X$ (les variables de notre problème d'analyse de données). Chaque coefficient de cette matrice est défini par :\n", "$$\n", "({}^T\\!XX)_{ij} = \\sum_{k=1}^n X_{ki}X_{kj}, \\forall i,j=1, \\ldots, p. \n", "$$\n", "Mathématiquement, l'analyse en composantes principales est un simple changement de représentation (un changement de base): passer d'une représentation canonique (avec la base canonique) à une représentation idéale grâce à la matrice des corrélations (la base des composantes principales). Ci-dessous par exemple voici les nouvelles coordonnées de $X$ dans la nouvelle base :" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "collapsed": false, "scrolled": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[[-1.1407521 1.21175499]\n", " [-1.72795239 -0.81945223]\n", " [ 0.44470139 1.21012962]\n", " ..., \n", " [ 5.04607816 -0.78317897]\n", " [ 1.8736126 0.05500443]\n", " [ 1.12783978 0.03421323]]\n" ] }, { "data": { "text/plain": [ "" ] }, "execution_count": 3, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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kCTz22CPJFCgpcbb2JGkPTjvtDKKoERhIvCeq5d15rzJ69EhDlKR9ZpCSVDBO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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "newX = pca.transform(X)\n", "print(newX)\n", "plt.scatter(newX[:,1], newX[:,1])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "

2. Exemple digits" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "L'intérêt de l'analyse en composantes principales est de considérer des données de dimension *plus grande que 2*. Comment représenter des observations ayant un grand nombre de feature ($p=10$, $p=100$ ou $p=10^6$) ? Comment réduire la dimension en tenant compte des corrélations entre les caractères ? " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "

2.1 Description de l'échantillon" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Grâce au module sklearn, on va étudier un exemple concret : la reconnaissance d'écriture, et plus particulièrement la reconnaissance de chiffres. Dans cet exemple, chaque image représente un chiffre écrit à la main, à faible résolution (8*8 pixels). Nous sommes donc dans le cas où $p=64$." ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "collapsed": false }, "outputs": [], "source": [ "from sklearn import datasets\n", "#iris = datasets.load_iris()\n", "digits = datasets.load_digits()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Voici par exemple une écriture du chiffre $0$ dans une matrice 8*8 pixels représentant les niveaux de gris de chaque pixel :" ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "array([[ 0., 0., 5., 13., 9., 1., 0., 0.],\n", " [ 0., 0., 13., 15., 10., 15., 5., 0.],\n", " [ 0., 3., 15., 2., 0., 11., 8., 0.],\n", " [ 0., 4., 12., 0., 0., 8., 8., 0.],\n", " [ 0., 5., 8., 0., 0., 9., 8., 0.],\n", " [ 0., 4., 11., 0., 1., 12., 7., 0.],\n", " [ 0., 2., 14., 5., 10., 12., 0., 0.],\n", " [ 0., 0., 6., 13., 10., 0., 0., 0.]])" ] }, "execution_count": 5, "metadata": {}, "output_type": "execute_result" } ], "source": [ "digits.images[0]" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Voici une série d'images correspondant aux 10 premières observations du dataset digits :" ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": 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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "#Load the digits dataset\n", "digits = datasets.load_digits()\n", "#Display the first digit\n", "for elt in range(10):\n", " plt.figure(1, figsize=(3, 3))\n", " plt.imshow(digits.images[elt], cmap=plt.cm.gray_r, interpolation='nearest')\n", " plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "

2.2. PCA des digits 0 et 7" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Attaquons maintenant notre analyse en composantes principales en essayant de représenter notre échantillon avec seulement deux composantes principales (au lieu de 64 dimensions initiales)." ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[ 0.14890594 0.13618771]\n" ] } ], "source": [ "X = digits.data\n", "pca = PCA(n_components=2)\n", "pca.fit(X)\n", "print(pca.explained_variance_ratio_)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Le résultat ci-dessus nous dit que 27% de l'information est représenté par les deux premiers axes de l'ACP. Commençons par étudier le cas des digits 0 et 7. Comment sont représentés les observations de 0 et de 7 dans les deux premiers axes de l'ACP ?" ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "collapsed": false }, "outputs": [], "source": [ "liste_0 = []\n", "liste_7 = []\n", "for k,elt in enumerate(digits.target):\n", " if (elt==0):\n", " liste_0.append(k)\n", " if (elt==7):\n", " liste_7.append(k)" ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "On étudie 178 écritures du chiffre 0 et 179 du chiffre 7.\n" ] } ], "source": [ "print('On étudie '+str(len(liste_0))+' écritures du chiffre 0 et '+str(len(liste_7))+' du chiffre 7.')" ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "PCA(copy=True, n_components=5, whiten=False)" ] }, "execution_count": 10, "metadata": {}, "output_type": "execute_result" } ], "source": [ "X0 = digits.data[liste_0,:]\n", "X7 = digits.data[liste_7,:]\n", "X07 = np.concatenate((X0,X7))\n", "pca = PCA(n_components=5)\n", "pca.fit(X07)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "On va représenter ces écritures selon les deux premiers axes de l'analyse en composantes principales." ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 11, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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hbW0tf/nNbwgtLibEZqMkJIQb7747qK0oRESk59FqRPEbm80WkNDzbY2Njcz7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pmHxWJlxYonmTw5n82b92C1Wjj33FM47bRTvnW575uMGjWKYcOG8eijf+WLL7ZRV1dGWloN06dP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\nSfLhtXgdSZKkM805q/0FSTYDH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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "Z07 = pca.transform(X07)\n", "x = Z07[:,0]\n", "y = Z07[:,1]\n", "colors = list(digits.target[liste_0]) + list(digits.target[liste_7])\n", "#area = np.pi * (15 * np.random.rand(N))**2\n", "plt.scatter(x, y, c=colors, alpha=0.5)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Not that bad ! Grâce à un simple changement de représentation, il est maintenant très facile de détecter automatiquement un 0 ou un 7 avec un algorithme de classification en deux dimensions comme une Analyse Discrimnante Linéaire (LDA in english). Si l'on regarde de plus près cette nouvelle représentation, voici à quoi ressemble le premier axe de cette représentation :" ] }, { "cell_type": "code", "execution_count": 12, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "array([[ 4.58198802e-18, -2.88858574e-03, -2.64062064e-02,\n", " -2.15096073e-03, -7.66125664e-02, -1.92153137e-01,\n", " -1.10902067e-01, -1.86905477e-02],\n", " [ -8.27180613e-25, -3.37014447e-03, 5.11534725e-02,\n", " 4.85909532e-02, 1.53334902e-02, -2.89062750e-02,\n", " -9.20010269e-02, -9.54656163e-03],\n", " [ 0.00000000e+00, 7.12387065e-02, 2.38526318e-01,\n", " 7.74152754e-02, -1.21460006e-01, 1.94547728e-02,\n", " 1.72424621e-02, -1.95583768e-03],\n", " [ 0.00000000e+00, 1.12035778e-01, 2.07529971e-01,\n", " -1.08813649e-01, -2.89723962e-01, -7.76212099e-02,\n", " 2.83679236e-02, 0.00000000e+00],\n", " [ 0.00000000e+00, 1.04250943e-01, 5.10475613e-02,\n", " -3.05446925e-01, -3.43669184e-01, -6.32799114e-02,\n", " 6.52265090e-02, 0.00000000e+00],\n", " [ 0.00000000e+00, 5.72762054e-02, 1.86820554e-01,\n", " -2.41749398e-01, -2.14156453e-01, 1.77499070e-01,\n", " 1.30484960e-01, 0.00000000e+00],\n", " [ 0.00000000e+00, 1.65373198e-02, 2.29076870e-01,\n", " -6.35810747e-02, 1.10961795e-01, 3.09293559e-01,\n", " 6.02867690e-02, 0.00000000e+00],\n", " [ 0.00000000e+00, -2.29180695e-03, -5.97473625e-02,\n", " 4.45485598e-02, 2.68763714e-01, 1.31181302e-01,\n", " 6.64784360e-03, 0.00000000e+00]])" ] }, "execution_count": 12, "metadata": {}, "output_type": "execute_result" } ], "source": [ "components = pca.components_\n", "components[0].reshape((8,8))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Avec une image c'est mieux :" ] }, { "cell_type": "code", "execution_count": 13, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure(1, figsize=(3, 3))\n", "plt.imshow(components[1].reshape((8,8)), cmap=plt.cm.gray_r, interpolation='nearest')\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ " Bien sûr, les choses se compliquent avec les 10 chiffres..." ] }, { "cell_type": "code", "execution_count": 14, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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sWded9niDwUB8vJHKyoPExnbHbq9DVfOxWkec9jkOh4PmZhdm8xw0mmAcjk/w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\nn7z6Kk155zhfbUbrZeapGdOx29oxiucxxkwkqd8wOoztRPWKJT6+K6q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wAMHJjKY5ZutuxZDcC8GekMHHhpqw9wCRFRFC8Sh0qlkmHDhl1yn84uE+2NlVjMnXj5R+LuoUGr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\nafMmTS6mqPYCuzdtYvLsrgOML4darWb8uMuXlr2CgjhnaqWP04UgQH6Tn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WMWvK9Gt+mQuCgLe3N/X19RQUFBAVFdUlAFWr1Zhr9dQUlXFkVSaNFXqkDZU3eou6YDKZeOvD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\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/iJrsgtloozVfIMgtgvz0dKQyGYtXrmTO3Lnn9UBWXl7OWy+8gNRkwiIILF+9milTpwID\n5/S9jW/T4swlLN6b+lIDGmM482ctYcP2F7jy7olIpRKMvSY+fTGHR+77Ix9/+h7ldQUIopRlc1cw\nfdoMqqqqeOe11yjKycE7IIBVa9cyafLk85pfxvFjvPLe/yGom+hr7ac2x87z/1x/XtGdY+np/L97\n76W9qoq+vj4EiQRBrSY6MBC3mBjWf/IJdrudxsbGgQL/ujo+f+UVJgcEIBEE0hsaWHrnnUydPp3q\n6mpeffZZvC0WrKKIPSAAV09PunJy8FapKGxro81sxtTRgbazk6RRo/AICqJWpeI3Tz99VvFkMBj4\n8+OPk6BQ4O3iQn5DA+rERO5+6KHvfH8j/Lh8/X0VRfGCIh0jka3/UaRSKamLlpK66KfzWZFKpYN1\nEBs+3Yj30nEEjxkw/szevJeM4xnMnDFzcHtBEJiWkoR/oJT+fiPxrlZOlvSyOPX+QaGVdmAvWz5+\nBoWsjf5++PDDcYSH+WLsbScgKI6rV9yOu/vpJtDz5i8hZeosLBYLrq6ugzUVXl5ulJbuIXGUOz7e\nrlTXtuHl3sSJEyfOq+7B09OT29b+jszjRzEaLVx93Xiamprwcinm6svDEQSB6NJ2vtzxPnfc/TgA\nzc3taDSnLTD0el+amtovwZn+38FoNJKdXUZY2FIEQYJW60Zh4TYOHjzI9OnTByOSDofjkhUsXyr8\n/PwG64YmT57MF19uo7CskRD/CSy+PnXwe9Hd3U15eTlSqZRblt9PeWUZCpWC6++ciIuLC841axAE\n4byj3na7nfUvvkiiXI6vlxd9ZjNb3nyTqJgYvLy86O7uprQ+a7DNT0xCMFtezkShuIIon/FsX5eJ\nzkdCfVEvS2feiKurKzdffzvP/PXvHCnMp6D6Pcoqayk+lEacXM6Y0aPJbW2lraXlvOc4aeJk3N3+\nxvHMDBwOJ/Ofnn/eBd4+vr6MHTWKkNGjObZzJ8GCQKFEwmiJhOOVldTW1rJx/Xr6ampwOJ0EJSUx\n44Yb+GrnTkRRZNaqVaScsnz4/OOPGSWTEXZq7P35+RzLzGTN1KlIBIGsoiJcOzq4ITWVI4WF7Cwr\nI0ilYn5qKi0tLcPEls1mI23/fo4dPkxbZSU+kycjl0oZFxLCttxcbDbbJevcMMJPy4jYGmEYBYUF\nHMvLQiGVM3vK9GF90H4Iuoy9+PqOGXyt8XWnt884ZBsPDw/6+jWoNXrCwsKob+jBw9tCfPxAg2Kn\n08l7G55nXFwLVy9zoavXymN/2MLsKbNZvjaJY5klfPDuS9x172+HFKpqNJphPkKpqYt4a91rdHW7\n0m+SEBxoYvpUf3p7zt9ew8vLi8VLLht8XVFeio+XdPAG4+Olpb//9BLu6OgwDhzYg5dXKIIg0NlZ\nybx5Z69HORPNzc18+eV+TCYLkyYlMW7che1/voiiyKGD+8nM2I4gCEycnMq06bMuOq0tiiKdnZ1Y\nrVa8vLwuuo2ITCZDEEQcDjsSiZSCkh0YFdkcKbeQkZfGsrnXsCttK4buFnw8ArnxmjX/kauyXFxc\nuO6aVcP+v7m5mdc2PI9XlIDV7MDR7sY9ax4a8v2VSCRUVVWxee8B+swWpsaPYt6smWctzu7r68Pe\n14dvSAjNXV0cyMqirKWFl/76Vx589FEcDgeCFCSSr1f4CkhlA42xl1+2gvse3EN+eSYKtZTOBgvj\nxibzlxf+RlZfDmNuSaS5tIsXPniPJYJA2KnWXBNkMo4fOEDqFeffUTU6OvqcXRi+7m8okUhwd3f/\nxopkAYVCQbS/P3lqNYLZTJ/Nhl0mY0JUFBvfew95TQ1zQ0IQRZEjWVlEx8fzx3/8Y9gYpr4+/L8R\nIVUJAjidSE6N1d/fT7BcjlImY15SEg319eiMRroPHuT1Awe47oEHBgv4RVHknTfeoOnoUXR2Oz0V\nFewQBFKnTKHXZEKpVo+00/kvYuSTHGEIObk5vLlvMwHzkrCZLZx4/3UeXnUXAQEBP+i4Y8JjST+Q\nxZjLZ2Lu68eQWUH0kqGrK/V6PUsvu5f1G19Bp+6k16hk4ZI1gzcRp9NJb08jS+dr8fFWgulAIQAA\nIABJREFUIEhsLJwlYDKZkEoljB6l4+V/b+Rg2g60OhUp0y5jxcrVuLq6DpuPu7s7a2+/kbaGbcya\n7oePl5Y3369l/mK3i7ZwCI+IYtsnTuJijbjolew71EhE5GmvsunTp1Jf38ju3TsQRYHp08ewZMnC\n8z5+W1sbf/zji1gsA8adhw9/yL33Wpgy5fxXqZ4vxzPSKcp9i5tX+COKIpu2rUOj0ZE8/sL7P4qi\nyEcfbWbHjmNIJHKCg/U8+OCdQyKQ30VPTw979x6gq6uXUaMCyM1No6fHijQwh6tvSmbKlAmcPFLG\nsy8+zs2PziMsJpqy/DrWffAyv7n/9z+b6MGOvdsYNceFMRMGIrkHP8/lq6OHWTDv9PekqamJZ9/b\nhHzWMpR6F94+9CV2u4MlC87sSq/T6ZDp9VS1tpKWmUmE3Y67Wo2uvp43X3qJhx5/nADXaA59nk9k\ngh+1pa3oxIEo3Pp31tGnqeCxjQvRuirY+koWTz/3/yhuKmLm75ei8/EifLKTivRSmsq7B4yH29up\nb22lx9V1sCuFyWRCo9EM/q56e3uxWCy4u7ufVwTSYrGw7pVXqMnJQQRGTZnCTWvWIJPJCAoKwjM2\nlqyiIkS9nlqlktHBwUxJSuJAQwNCWxuJp64BgiDgq9HQ1th4xt954uTJHPngAybIZJhtNjpUKnyi\nosivryfAzQ2LVEqPQoFcLqesqooOo5FlsbH4ubnh19PD9o0bB8WWwWCg9NgxFoWHIwDO7m52Fxej\nc3PDotGw4p57fvZ2KyOcRvrkk0/+ZIM/9dRTTwL8lHMYYSgfbN+C24IxBMZF4BHoS59oxVltYFRM\n7CUfy2g00t3djVKpJDYymo7SOo5v3UtPTjUrpi8haezYYfv4+PoyfsI83DzjqKoso7JsH4cO7kSt\n8SEoOISDaXvRKmsIClTS1t7P0ePdhIWNJjzMjYNpe8k40cxt1ymYN62fmqo8snPaSZ4w44wX9OiY\n0dTU9XPwqwre/ygbvU5KR2sxNTUdxI0eWGre0tLCju0fk3XiICaTncCg4LNeID08PJArAtmy7SSH\n0rvw8pvDsstWDI4tCAIJCfEsWjSTpUtnM2XKxDPOSxRF6urqaGhoQC6XD9YiffXVEbKy+ggJSUSr\ndUcmc6Wm5iRz5kwbdozvy4H9W0lJ7iMk2BWtRoFGZaOozMmYhAsXW7m5uaxfv5fQ0Lm4u0fT0NBJ\nW1spkyadX//D/v5+nnnmBU6c6KGlRUZdXQNTpgShc7ESNUXBrPlTkEoldHf2UVJUyuWrBiJwnr6u\nFJ6oZnTE+O9diGyz2X6U1OSh9L2EjTvdZ7G3x4jdoCMuNn5wm2MZx8l2CSAweRJKvQtKvyBqDu9l\nwdQzp78lEgmhMTFs3LWLzooKPBQK4sePJzY0lOzqaqYtWEDy2Im0VvVTm9+FpyyKa69ahUql4v2P\n3iF0up3oZH8kUgkunkqOflaB1lWJx1hPHFYrNlM/DXkNyM0a6srKKMjKIr+5GYVSSU1zM9s++IB9\nW7dyLD2dqLg4Du7fzzsvvMCx3bs5mZtLfFISKpXqnA85Oz77jLoDB5gVGkqEiwv5ubk4XV2JiIxE\nIpEwdvx4TCoVRp2Out5eDG1tbD18GFN/P/1mM5UVFVibm+kwGMioqqK4uprMr75CqlYTFhY2OG54\nRAT9MhmZFRV0KpVctWYNV65YQVV3N7UmE0mzZyP38yO3tpaCjg783d2ZdKpPpSiK1JrNzFk80HbK\naDRydM8eolxdB0Sevz+NwMybb+aKG274UVbNjnDhPPXUUwA8+eSTT13IfiORrRGGMGyxwg/0YLX/\nUBpbvtqNVKvExS7j3hvXcOPV13KDuPI7n+bUajUH929hxsQ2Jo4PobPTxLr3XyUgMJh77v8DL/79\nXmobW3E4lVQ1jcelVs7Hn5ZwIK2LsBBXlswbSDGYzN2cKKyipaXljKlSlUrFDavuZPMmHSnjJSxZ\nEIbTKbJxSxrpR6OJH5PIO+v+j5mTTbi7qThw5DgmUz/jkidxIjMDu93K6PixQ3yEJkycxISJk855\n4ziXCeXpKFAmUqkOubyXX/1qzY/e5FqlcqGz8/RKuM4uCyrVxXlWNTe3IJN5I5UORJe8vMKpqso8\n7/2Li4tpbBQICxsQZ25ufhQWHuLuu2/k08P/xmqxoVIrqClpQbCqMJusqNQK+vvMWPoc36uBu9Pp\nZOvnmzmWewAQSRo1lWuuvPYHSf+YTCasRoEP/5nGvGvGEhTuTWlGK6lTl7F7505OHj2KWqfDMygY\np3j6s7CbTejk555PZGQkv/r97/nXE08wLSICtUpFn9kMMhlKpRK5XM4VqVcN2y/AN5iSklxEpwgC\n1JW04+8dhKeHNzlvfkpgqJ6ORiMdR3t55p8b+OsTTzBm3Djm+/vjplLx/Ouvc/2cOUSGhlLd1saz\nv/sdepuNBaGhKGQy8mpr2fDmm6i91JTVFKDXunH10lXDhEh9ZSXBpyJlJYWF1OXn80J1NVaLhcXL\nlqFWq1l62WXMmjuXR+6/n8KKCi4PCEAqCFRVVZHT00O/hwct3d04pVIenTYNiUTC7vXrcXN3H4xG\nSaVSUq+4Ylj689Y77hj8tyiKGI1Gurq6eOkPf6CmrQ29Wk1uSwsTlp9up+bp6Uno2LEcy84m2NWV\n+u5u4qZOJTU19T+unnCE78+I2BphCHMnTOXNz7dgX2DFZrbQ81UZE2/8fp5a36ampoYtJ/aRdN8V\nqHQaarKLeOuT93nk7gfPK2zucDhobSlnwk0Dhqzu7mqiwgSampoYP348v3vqXYoK85HJFNx6dxLN\nzc2Ulpbi6ePAXVuF3S7icDqwWsFml3znjdHQUcPCGR4DtSpSgbhoDVXNtQgSGfEx3UyeOJDS8fRQ\n8+o7WzlxfCeJsR1o1BI2vvspl1/9m2G93y42PVBVVcWOHScIDp6HVCqju7uVV17ZwN/+9hTjxiWx\ndet+GhoKUSg09PSUcM0138fn/+zMmLWYt988QWd3FaIoUljuwW23n3/K85v4+vpgtx/E4bAjlcpo\nb68hMfH809ZOpxM4XY8kkUhxOJzEx8fT0LyYT57/AokMBLMaleDOc798i7ikCASjngXTrvpeUa0j\n6V9RaviK634zCQTYtymL/Qe9WTB36LkoKytj376BRtPz5k24YHFsMpl47rk3yMryJKsoiU8+Tsc/\ntJfH71hLc30DRzduJNHHB2N7O5kFBegCw6iSypDrXbGfPMItS8/e2PproqOjmZKayld79uAmldIO\nXLl69TlTrHfcfhd3PZTOuse+Qu0ip6tCwarLU1n/4ovU1jRh8OohxjOAK8IiKcrPJzIwkBkhA79b\ng8GARhTRn3q4CPP2Zld6OiEeHoPO+xE+PryR9gWpv0jhhhun0N7cxQcfvMZ9no8PMRn1Cw2lLC8P\nc0cHLSUlKBUKUgIDOfzhh3h6ezNp8kAqvbq6Gll3N3Hu7kS4umK22aiqr2dMcDDL5szhQHY2yrY2\nnFYrLm5uhKvVlOTloVAo6O3tJTg4mMDAwHOeR0EQ0Ol06HQ67nzsMT7/+GOaenqYtHIli5aeXpAk\nkUhYfffdfPnFF9RXVREbGsqipUtHhNZ/KSNia4QhJI1N4g6plGO5WcikMm6+fu13XlwulNbWVnSR\nfqh0A6mQ4LGxHN2Wcd61UFKpFK3Oi+qaLsLD3LFaHdQ3ORgz0Q0Af3//IUXPrq6uxMTE4LD18eWO\nl3nuxQb8fSX0miLwD5k56L7scDgoKSnBZDIREhKC9ymfHS/vMIpKywgOckEUoaTcRGDEQLTK6Tw9\nL6co0tDQxPKlehbMHRBgPt7tHE7bSkzMw9//xDGwEk0QXJBKB366Li7e1Nb24nA48Pb25okn7mfX\nrv3095uZMmXlD1Yg7+Pjw+13PUlBQQEAa+ePwc3N7aKONXbsWJYsKWX37t0IgpyAAA2rVp3dAPTb\nxMbG4uHxGQ0NhWg0bhgMJSxfPhCZWLxgKXNmziM3L5fPDr3N9aun0N7USdqnRSycfBmzZsy+qDl/\nTVVdGaMm+iNXDHwecZOCqDpcApwWW+Xl5Tz77DaUygWAQEbGNh577PILElw5OTmUlnrTZAwmZMEK\nnI5VOB0bSK9sxK0tk1F6PWqJBE8vLzqMRqInJyNTSTBZOkhceTlR30hliaJ4xmJ5QRC46tprUep0\ndHV1sXDCBBITz90fUafTse5f73PkyBGsViu+qb68/8ILJDidzPQMos5iRS1zJcTDA6fNhj4wkMKG\nBkI8Pak2GDAqlahO+el19/ej0uvpFgQcTidSiYSa9nacKjuT5o5CIpHgF+SJX0wjdXV1Q8TWoqVL\nqSkv54tPPkHucBAYEsLE6Ghq29spKywcFFtSqRS5XE6HKGKy2xFFkX5RRCmX46XX46bT0d7UNHgd\n6jKbKc7IoGDvXlwkEtqBa++7j+TxZ05xm81mOjs7cXFxQavVEn6qZdLZUCqVXPaNaNcI/72MiK0R\nhpEwJoGEMQk/2PE9PDwwHmvDaragUClpLq3Gz324Q/O5uPLqu/h4498I9Kuj3eAkIjr1jA2Bv0YU\nRbQ6V9w9I6hu0mKXJbFk6RVMnDQJQRBwOBy8t+EVbKbjeLlL2LtLzpXX/JqYmBgWLLqCDW9X8/Kb\n5djsIl6+KaRMnY7RaOTfhz1x+aoWdzclh9KNREYno9VWDY6r1Siw2Uzf63x9Ew8PD1qaj9JtyEKp\n9kcqC2TUqKDB6Jy/vz+33nrDJRvvXLi7uzN9+vTvfRxBELj++hUsXDgXi8WCj4/PBRWs6/V6Hn/8\nfrZt24nB0MVll81i7tzZg39XKpVU15WRMMsf/2BP/IM9cfXUU3uo/myHPG/cXbxoqC0nKn4gDd1c\n24m7y1C/ugMHslAo5uPrOyBcmpud7N+fdUFiy2y2YLOpcCjV6HR67BYndouaHqmcyrws+hy9uCoV\nuGl9sWhdcffwGPLZiKLIrj07SDu2E1F0MilxJlekXj0kimI2m3ll3T9wurah8pCxeVcRnp4PfufD\nlkKhYPbs2QAcOnQIH1HEIySEmpMnidLrOdLYiODqSmpCApddfTV//H+/ZXPubrR6HWPmT+dgYyPu\nCgU9gsD9jz5KaWEhu/ftQykISL28GBWYiKG1By8/N5xOJ92tJjQxp1df2u12ent7uWntWqQKBT2Z\nmaRERyMRBLrMZkZ9w9A2MjKSgMREejo72VldjcNupz84mNH+/tS0tyPRaGjz9aXQYMBhMNCl1SI1\nGJhz6njd/f189OabjEtOHna9+tqrTGIyYZVKue6uuxiXnHzen/EI/92MiK0RfnQiIiJYED2BXS9t\nQemuQ9Zp4b7rVl/QMSIjI7nrvudoampCp9MREBBwTrF2+NAB6io+4Fd3B2C1efPR1kZcXFwGbzYF\nBQU4LcdZfeNAMWxNbRdbPltHzK+eQ6vVsvbOR2htbUUqleLtPeCF5erqyuq1T3D44G6aq3tJmTkO\nVzd3tnz0ND5eBjQaOTv2tDI68bIhcykuLmbH5+swGjsJCx/H8qtvOe+6oa8O7WT5MgcqaRXNrcWk\nZ7tx883vXtC5+09EEAS8vLwuen8vLy9Wrx5ulfA1Crmart7TDt79vSaUCu+LHu9r5s6az6tvFfDF\n2ycQJAIOg56rbl0ybDtRdH7zFReaRY6JiUajeQtrvRVTlx+mrjTCpgXQmLufccvC6MqpwkMq4WR5\nBXJVIvd/q4XN8cwMsqp3cdVDSfR2Gvn8nc/o77dw43WrBn83xzLSkfl3MHf5gEAozqlh++4t3HHr\nfec9T61WS6/TSVJoKGaTidzCQpoUCm689lomT5lCTm4OXmMUPPune1GqFKRtzUVvnMCk8Sn4+Pjg\n5eXFuORk5ixciNlsxs/Pj5LSEja9+yYBo7R0NvfjrxlD7Kn+j52dnbz2/PP01tdjFUXGzppFR0AA\nR2trcYoisuBgZs2dOzg/uVzO3b/8JUcmT6auuhoPHx+mT59OXk4OdVVVzPb358HkZGpqapBKpdhs\nNva99tqgtYOLWo21rQ273T7kgcBmsw3xKuvu7+fDV14h/C9/ueiI7wj/XYyIrRF+dARBIHXRUqaM\nn4TRaMTHx+ecReFn40xtRc5GafExFsz0xMNjYJxpE3soK81l9CmPrr6+Pny9TxtB+vnqMBrbgIF6\nme2ffURtTS46nSdLUm8aLHr38PDg8iuHOrwvveJh9qdtxmazMCZxNdO/kapqbW3lsy1/47ordfj6\n+LHvYAabN4ncdMu93/kerFYrleVHeezBZARh4Ik+cFsTvd9oJTLCmZmeMpOX1h3DYs5DJpdSndnP\n7dedXZydLxqNhvvW/orKykpEUSQ8PHyYU/3cuRM4enQzTU0iIGC372Xu3AtLHQUEBPDb317DX/66\ngWNFn+IdF4B3lyfeIa7MuzoY+xXjqMyrxd7URah2yrA6tIqaEkZN9qe2tIld/9qNosfE5u3FuKp0\ng2msXmMPHn6nRb+XnxvVxgsz1U1MTCR93DgOnjyJVq/HZepUXv3NbwajeDV1lUQle6PRDpyjhJRQ\nsj5tGdK9QhCEIY2VExMS8fZ6lLq6OrThWuLi4gbToB9t2IC+sZEpISFY7XbS9u3jivvuQ6FQIJFI\niImJGfZ5qFQq5s4bWsM2c/ZsOBWdAwZTlAaDgS1yOU2dnYPO7pFjxgyLvPb29uI45VUG4KrRoO3o\noKOjY0RsjQCMiK0RfkK8vLy+VzTjQlCp9XR21RA6cC3E0GlFqTp9QwoNDeXDgxKSx/bh5alh/6F6\nwsIH6jw++Xg9rqp0Vl/nT2NzAx+++yfW3v00UqmUwsJCRFEkLi5u0K8rLi6OuLjfnnEeNTU1jIp0\nEBw0sO382SE88/yJ86pXG7jBSLFYHGg0cuRyOSaz82fjEfVT4unpyS9uf4Tsk1k4nQ6W3TJ2yA39\n+6BQKBh1jh6EERER/Pa3V5GWloUoisyefdU5U95nIzY2ljf+/TQGg4HOzk48PT3Zm/YllYUnmbY4\nHpvVzo5/H6LU2YSxpYeb77hj8DvponOntq6Q7M8zmeSuo98JEb4ufLVtG8mTJhEYGEhkWDQf7dlN\n+KgANFol2WkVRIddmG2ITCbjjvvvp6ioCLPZTFhY2GDtI4Cr3o2a+h7EiQPf9+b6Ttz1p/9uNpsp\nLy9HFEWioqIGH8K+XYf5NQ2VlYzR68mvq0MURTQ2G729vcyb990LAs4HDw8Pbn/4YT584w0ym5qI\nSUrihttuG7adXq9H0Gho6+nB28WFXpMJoyDg4eFxSeYxws+fEbE1wn8dX7uR2+12PD09kUqlzJ57\nJe+/U0hLaxUWq0h5rR9r7jjdCigwMJAFSx5g/cY3sZgNhEVM4OoVN2O326mqyODxh0KRSiW4uako\nKq0lLy+PjKPbiAxuRSqFQwfcuHXNE7i4uLDny89paS7H3SOIBYsGloiXlpYiCAISiYSmFis9PWb0\neiVt7UbUGtfzqleTyWRMmXY172z8gHFjlNQ1WnBKEi/qxv2/iLu7O3PnXJqb8IUSERFxyT4nDw+P\nwZv4kgWpvLmhjvf+fJDMT79iqpsfMyZMpLC4mPWvvsoDjzwCwKzpc3jhlWPUFzYT4eOKtVvCxHFx\nmNrb6enpITAwkLi4OOZ1rmTHq59is1sZN3oKSxamnmsqZ0Qmk5GQcOaaz5Qp08hbn80X67NQqKX0\n1su48+ZTkbXeXl596wUknj1IJAKf71Fz920PnTMypPfy4v2NG4mQShGdTvJsNqaexSn/YomKiuKJ\n55475zZyuZyb77uPd158EXl3N2ZB4Oq1ay/ImHeE/25GGlGP8F+F0+nkk483UFt1ALkcFOpoVt38\nC3Q6He3t7RxLTyfjeDYuLu5MnpzMtGkpQ4TO1w2rM48f42TWHgSJlPy8k/zh0Ujc3AaMFd96r5o+\nWwJjIvOZOzMMgPSMemrbpmIyGXFVZZKU4E5ZRTdZhT4IgpWIoE6cTjh6wkJrcwUalQGd1gUP73iW\nX/Mbxpzl5vRtRFEkLy+PutpyXFw8mTwlBcWp1Vwj/G/S0dHB6/9+ldw9u1gyKpEQLy9EUeSz2lqe\ne+21we+HyWTi8QcewLezk+ToaHosFjL7+njkueeGiIKvr8c/lHu5zWajoqICu91OWFjYYMpz2/ZP\naZUfJ2XhQGr/+IFitJ2jWbH8urMe663XX+fQSy8RLJXiEEUs7u4k3XILN9566w8y9+/CaDRiMBhw\ndXU97xKHEX5ejDSiHmEE4HjGMUw9e3jgznCsVjM79mTx6Zb3WHXTnSiVSvYfyKSz0wO12oWTJ7+g\nu7uHZcsWD+4vCAJZJ45zIv1VUhd6YrM5qCzr5S8vlbBglit1jTZO5Nro7tyMXuikMshGeHgUnh5q\nskuaMXaXcdM9YUgkAqEhrny6fS+piwJZsjAOQ6eBpoYvSEkew8xpyRw60kCTIfq8hdbX80tMTPzO\nJfkj/G/Q3d3NK+v/ji6ml0CJgsP5OUy0j8Zb74JSoxmSYlar1Tz29NOs+9e/2FVbi0qv55YHHxwW\nffmhW8TI5fIzpl27+wx4jzndOssn0I3GOsM5jyUBpqak4KPV0mE0sjsri6LXXqOns5Prb7vtR6+X\n0mq138skd4T/XkbE1gj/VbS21BEXraKxsYa6mlz0ShtbNlUzadJsunt6aG9XEBaWeMrhOYh16zYy\nZ87MIY18C/IOs3C2GyHBAxf+FVeEkJEfg0MxlhZDBnOmFhEaPJpjx9KpqjiJw6nk4FEbUVFLyT5e\nhtMpDjbttdks+Pmeaq3S20tMuJReswM/Xz+WLfLkxTdafvyTNMJ/Ddkns/GKczJ9yRTyc9SUuBWw\n45OTxASN4fpf/GKYcPLx8eGRJ5/EYrGgVCr/o3rvRYTEcCgjj+BIHyQSCQXp9ST5L+TLnTtprKnB\nPziYOfPnD4nkjklOZtOhQ2iUSr7MyMCjv58FKSn05ufz1ssv8+Bjj/1HvccR/ne5tMntEUb4ifHy\nDuRkfic1VTlMSNLSYRDRa4w8/dRqcnNzEEXo6uriZNZ+bP25GLsLeP2VpzEajYPHkMlV9Jtsg6/7\nTXaCg8KYN38BapWZkGA1tXXtdPX+f/bOOz6KOv3j79maTXY3ZbPpvVKSEAgdpBfpCCgWxIJgr+cV\nz9P7nXe2u9OzoKdiAUWxIYg06R1CJwFCEkjvZTeb3WSTbfP7IxjlaKEJ6rz/yu7MfOc7s/vKfPb7\nPM/n0fPeJ3U89OR6Dh11ERUdh39gd15+bR8rv89j8bIC/I09OXjYSXOzE7dbzsYdTiIj2ooCikoa\n8PUN+dnvkcSvB7fbicpLjiBASrdudLuuP9E90nns+efpdobeotC2cuXl5XXNiZB+ffrTNXgIX/5r\nL5+/vJs4XV8Kjuax57PPICuLvZ9/zkfvvHOyY0AbPTIyGDNrFtsbG3E4HGT07k1MdDSpERGU5+XR\n3Nx8Fa9IQuJHpJwtiV8Vbreb1197gcLcTwgLUZKTa+ahWUEUlTkoruzM/mw/SksFwoNcKNX13Hqj\nP6II3gEzGTpsBNDWEufrz1+kbw8nTqfIvmwdd8x6Brlczh9+dxem2h0MG+hLfKyDz79pYPiI4VzX\nN5o355Xi76/G6NdAQXEj/sahPP67p1n89WesWPYuLlczMrmRjO4hhIV4U1mj5Zbbf3/GvozXKh6P\n54zu4xJXh6qqKt7++GW6jwlG5+vN7jUF9E0Yz7AhI6721C4at9sNtNkuvPKHPzAqKgqZIOARRdaW\nlPDoiy8SEnLqj5SioiLe/etfGREdjVwmw9bSwmaTiRfffvuK9KmU+O0i5WxJSNDWjmPmHffz5n+O\nEWi0MLO7gvhYFS6PhgEDoqmqq+V4/nZ8dW66p2np12sEOXk2LC0/rmzFxsZy68y/kp21H5lSxl2z\n++Dl5cV/5/4VvXcOCoONzL2N7NwjMHJIACq5m+goX5qsq7nr1l6kpfTB4XDzzvxSSktLqa48yh8e\n60F8jB/7DtWQeTCQjP53ERkZeVF9+VwuF9nZ2TQ3NxMTE3PZ2ymdierqat599xMKC8sJDw/i3ntn\nnNJgW+LqEBISwt03Pcq6LSspdzQzIHkygwYOvuRxfygUuRp9+n44pyiKCMAPT7RzPdmio6NJGTaM\njRs24CeTUSuKTJkzRxJaEtcM0jdR4ldHYGAgk6c+wdtzn6XZ1oS3xpuuKX05cszEgb1r6dVdhd7b\nRtckOVu2bCG/LIXJ09oqoCwWCytXrmRv5nI0GjnRMd3w0ugoKyvDZskmIqSZO270Q62CZ182Ybao\niNCD3e5EFN0EGdvEk0olJ8ggp6CggEC/BrqntQmTIQMj2Z9VgpeXF2u/X0pTk4m4+HT69ht43hWj\nlpYWWltb+frLD1AJBwkKlLNoi8DocY+RegUT5l0uF6+++h4WSyhRUT2ory/jlVfm8eKLT12UGa3E\n5SUmJoZ7Yh444zaLxcL+A/twu1107ZJ6Rq+q/+XIkSN8Pm8eNouFhJQUZtxzT7tf189JYGAgkWlp\nZB48SKSvL2UWC+Gpqaf0RPwBQRC4deZMcnr1wmKxEBYWRnR09M8+ZwmJsyGJLYlfJd17ZPC3f8zj\n/Xf/j1aPg4KiZl57ezfjR3ro08PDrn0y5n5gwi0qePDRO0hISKC+vp65r/+F2sr1TBsnx+VRs+/Q\nLpZkfUHXzqHs2XeEpx7RY28xI5dDl2QVXyyzcPONAt+uKsMlxlFU6iI4SKS8wkpJhYKUnhHkH3Xj\ndnuQy2XY7S5sTS6++Ow1BvS00SVWw/bMPVitFkZfP+GM1yKKIt9+u5xlyzZTX19H5/hc/v6XYSiV\nStK6Wvn0m/mkpr16xe6lyWSittZOVFRbM+PAwChKSwuoqamRHmjXMGazmbkf/Iugrh5UXgq2LlzF\nXTc+SkxMzFmPqa2t5ZPXXqOnXk9AVBTZR47w8Xvv8fDvL08j9QtBJpMx64EHWLNXKwfuAAAgAElE\nQVRqFeWFhXSOjmbU2LGn/Cipqalh8aefUl1WRkxyMlNvueUUN3oJiWsFSWxJ/GoJCwvjgYdfYNeO\nTZirmlEos0iKqySts5KUZC/cbhsH86LpP6CtYe/2resID6ogLcGHIQN9OXy0iD7d3Wzd7cPtN3fl\n0KFDbNxaz63TDOzbUUHuCTVNLV1Yty2Qe+65lRde7sqSr99n3eYCVGpfJk19gqSkJI5kD+LjzzcR\nEynjaJ6H4LDeGPX7uK5/DADhoXreeH8Fo0aPP2PS8oEDB1i8OJPo6FEIQj4e12GOHcsjNbUrhgBv\nWlqqOuRAf7H4+PggCE4cDjsqlQaXy4HH0yyVuF/j7Ny9g/DuMvoMTwHA31jKui0rz7oKBlBaWoqf\n202gTgdAWmQky44cweVyXXJIrrm5mby8PERRJCkpqUPfH7VazYTJk8+4zW63899//YsQi4WeAQHk\n79rFByYTj/7xjxw6dIidGzagUCoZcv31F9T0W0LiSiCJLYlfNYGBgYyfOA2A5csWIFMEYLY04faI\nlFV4SEru3d47rbXVRlCghuoqD263B4+nhcoqF9YmF83NTXTr6sP8z5s4UVSLy+2P3dWfwUNvxWQq\nJS+vhBEjRvDAw8/gcDhQKpXt4ufG6XeSldUDs8nE8DFh2Gw2inP3tc/xfAUiBQXFeHmFo1Co8PHx\nI+e4lqzschISkli/uYz4hAFXtLLMx8eH224bx8cfr0YmC8DtNjNt2pCfrdVSRzCbzVRUVKDVaomK\nirrmKu2uBg6HHW9/dftrH50XZY5zV+dptVpsbjdujwe5TIa5qQnvnzRs7wi1tbV8vewzquvLCDVG\nMW3irSgUCt588UWoqkIQBL4zGnn4qacuyWG9oqIC6utJPtmPMD0yktV5eWzdupWV779PV19fXG43\n7x88yH1/+QuxsbEXfS4JiUtFElsSv3gcDgdbNq+jtqYYQ2Akg4eMRK1Wn7ZfWvoAdu5rIL/Qm4ZG\nN4bgQK4bNKR9e1JyD7as34QMIy+/cQRHq4VjJwRCQ5v4cMEqQMY/nxtP3vEi3l9opf/A6Xh5adHr\ng6mqym8f538d3WUyGenp6QAcOXyY7Vu+Yc/uHIqKyxk9PJFde6306nPzWQVCUFAgdnsWx/OrcLbs\nRvQ08OGiFo6XV9Op8yAmT7m1fV+Px8OaNevJzDyEVuvN1Kljzxk26ijDhg0hISGO6upqDAbDNdUi\nKC8vj1de+RCXS4/bbeX66zOYPn3qb15wdUlO49MVWzAE61F5qdiztpCBnc68SvQDiYmJJA8ezIbN\nm9HL5ZhkMmY8+miH76XD4eD9hXOJu05Fz06dOX64nA8+fZs4YwLamhrST34Xs0pLWbtyJTfddtt5\nx6yvr2fntm20trTQLSODhIS2cLZKpaLF42kXhg6XCzewf9s2Unx9iTAYAGgpL2ffrl2S2JK4qkhi\nS+IXjSiKLPr0XbSqPaQn6ziWt4tPP8nnzrsfPS3hfMKkO/hqUTnhETZC3AIVdTH06t23fXtat3Sa\nm+9l9coFHDhQyMhhaTw4XI2loYDX/lvG7x8fQ0qKP4aAFtZsrMNut6LR6KitzWPMmLYHQEFBAQf3\nbwMEevYeTNTJX93QVp6+evmrTBmnY8qYPsz/9ABfLJMxfsL99O7T76zX2K9fX779dgXm6hVMHu+P\n3tePFlcYreIAbpx+alPclSu/5/PPdxIUlEp1tY0XX3yH5557/LI0XY6Kijrlen4uPB4PNpsNjUZz\nWtNtURR5552FeHv3wNc3CLfbxerVG+nZM739ofxbJSkpiRvsd7NhxQpcbhd9U8dz3YBzVyoKgsCM\nu+4ib8AAbDYbERERF/TdqampQfS2ktKzJwBpfeM5sW8vFaWl+P2kmMJPo+H4sWPs3buXkJCQs9qf\nmEwmXvv73zFYLHgpFMxbtYoZv/sdqampRERE0GngQLZs3kyAQkGN283wm26i5Phx3D/x4nJ7PMiu\nQlWlhMRPkcSWxC+auro6zHX7uX1OLDKZQKekQOa+n0VNTc1pXjzx8fHMvPvv5B7LQalUMW5a91Os\nFwRBoF//gfj5G+gU72HMCCMms53k5HiCFq/A28vKkawc3B4PTU0W7GXrsNkC6dUrmQkTxjD/o3ls\n2TCX4QPVBIfF8sWnW7jp1r8QERFBQ0MDWYf206cHxMa0hU5m39mHxSu96NO3/xmvbf/+/SxevAaH\nw4GvXsWogZ3o2T0EvV6PucHBF8vyKS8vp6mpidDQUHQ6HRs3ZhIe3guNRodeb6Sw0EROTs45H5g2\nm438/HzkcjlJSUntYdVrgdraWt54433Ky80olTBr1o307t2rfbvb7cZkshIdbQRALlcgk+lobGy8\nWlO+pkjvlk56t/QLOkYQBJKTky/qfF5eXrTYXDgdLpQqBa0tDlqanPTu1o2t2dkE+/oiABsPZyHr\nFsieChdVW5oZO/Bm+vQ+/QfHvr178TObST+5KqU3m1n37bekpqYiCAK33303B7p3p76ujhEREXTp\n0oX8/Hzef+klWioqcLrdlKtUTL3uuou6HgmJy4UktiR+lZwtDyosLIywsDAAWltbqampQa/XnyIw\nIiMjefdtG4cO7SAmUk52jh1RnswHnxxj+HVaqmvl3HpTBkeOqxk5ehIajYYlS75gf+Y85syAhFjI\nPXGc3t07sX7dMqyWKvBUcvhoJQN6ehjYr211qLGxFZXKcMZ55uXl8frrXxAQkIFSqWbHzqVo5GZG\nDuuCTCaQf6Ka3Hw5Tz/9JnK5D2Bm9Kg+1NbW4OvbtuLWdh8cp60G/ZS6ujpeeOFNTCY14CYqSsEf\n//jINZP8/vbb86mpMRAV1Q+7vZF33vmKqKjIdiGtUChITIykuPgYYWGdaW62IAjm9s/4SmEymbBa\nrQQGBl4z9+pyUldXR2NjI0ajEd3JZPmOYDAY6J54HSvnbyckXktFvpW+qSMZOWoULoeDjcuXY7XZ\naI3T8eTLE1F7qWhsaGLZ25/TPT3jtBC8y+lE8ZMVaqVcjsv5Y3cHmUxGRkbGKcckJSVx31/+wt6d\nO5ErFEwdNKhDlhcSElcSSWxJ/KIxGAz4BnTj2xUH6NpJz7H8Rrx1aecNfRw/fpxvvnwdb69mbHYl\nEyY9RNeUtqotj8eDXienR2clztZK+mUo+WLZMXpe14VevWMI8PeitqaALxavobJ0G3qti9IKN6md\nVWh9vAkM8KaxsYGcAgv79mzk7luNdOlkJPtwE8//ew9yhYrICAN7DiqYNG3qGed38OBhPB4jNpsJ\nuVxBQsJwDhxZylsfFOOtkXGiSEldvY7ExBFYrTb2ZH5Hk+U/9OweyBdLPqRzl/EIgpOwMHd7vtiZ\nWLp0JVZrMDExbeXyRUV72bhxM+PHj+3Q/W9qaqKgoACFQkFCQsI5hd3/HldSUoJKpSImJuaMCdhO\np5PCwgqio9tCUhqNHgigsrLylFXL++67g7lzP6SoaDlqtZwHH7z5tFXNy8n69Rv57LPVgAaNxskT\nT8y6pnLYLpX1m9axee8ydIFqbDUeZtxwX4er+QRBYPKEaSQe6Ux9fT19Bxnp3LkzgiAwdsIExowf\nT15eHiv2fIDaq01Y6f18kKtEWlpaThNbaenpbF66FH1NDRqViuz6ekZPnHjeecTFxf2qPhOJXz6S\n2JL4RSOTybh1xv1s2vg9uw8XEWiM5rZJo89pENra2so3X77OzZMVREVGUl1jY8EXc4mK/hc6nQ6L\nxUKAn4dgo4weacmoVQqOF5WxbccJZt+RisvVxN59h/HzFXjwLg2x0Qr+/kopQYEulq5yIxMEjhfa\n2bLXg5eXQGK8lv37NhJkaGVwf1i6qokZt9/BLTP7njVXpbnZRk3lN/TN0FNVYyf7qIbrx4xmyvSb\ncDqdJJWW8uGHu5DLFRQV5pDS2Q+nU8PvHs7AzzeL0poGBgwcQL9+fc+58lJfb8HHx9j+2svLj/p6\nS4fufV1dHS+9NJf6egWi6CIxUc/vfvfAecOQNTU1vPzy25jNCjyeVrp3D+fBB+85zVpAoVAQEKDD\nYqnGzy8Et9uJ223Bz8/vlP0MBgPPPvskdrsdtVp9RV3PKysrWbhwNaGhQ1CpNDQ0VPHmm/N59dW/\n/SoS8isqKti8fxkTH+iOxltNZWk9n342j2d//1KH2zQJgkDKyR8uZ9oWFhaGpcJDaUEN4TGBHNlX\nhE5lPGM3hfDwcOY89RRrv/sOq93O2KlT6T9w4CVdo4TE1UASWxK/eNRqNaOvP/+v3R+wWCxovJoI\nCQ7B4XAQHKTF4G+ivr4enU5HQEAAFdUeHK0u1CoFpeUtaLz9CQn15/X3qmlpqcdcpyEqXE58jBda\nrZwuST4czXMTHmbkk8UOakwxPPL4i2xa/yVbt++iWycXRoMvapXAtIkGZILrnD0RbY1FTLy+lby8\nE/hpm0mIbKasxB9//3vx9vZGJpMhistpabHhcjqw2mpJ66pFEARSuxgIiUph1KiR570XaWnJHD68\nA602AI/Hjc1WQJcuUzp0H5csWYHFEkR0dBdEUSQ3dxdbtmw973k/++wbbLZQoqKSEUWRvXu3sHv3\nbvr3/zF37Ycw8AMPzOSVVz6grOw4breNSZP6nbG6UhAEvL29OzTvS6G+vh6ZzBeVqi3Z288vhOLi\nvdjt9p/l/Fcas9mMIdwbjXdbNW9opAEnedjt9ssWLtXpdNx544N8vvQjNjTmER4cy1233nVWMRcX\nF8e9jz56Wc4tIXG1kMSWxG8OjUbDwUMFrF6VSYC/ErkynFpTSLvnj4+PD2PG38e7bz/AvmwzLrea\nHumdUHqHcf9D/0dxcTHLFv8TnXcpew/WER8DSYlhlNb4owsaRfd+yfTs1RutVou/vz9/e2Yrx4+3\n4PZ46Ny5ExHh/hwpsGCz2ZDJZGd8SIseO/7+YfTuYWHMcAOmBj827qxhw7qVjJ84jaioKO65ZxIL\nFizF5Smn2X6C6VP6UFllZec+J2Mndax9z6hRw7FYGlm3bg1yuYzbbhtBz54Z5z8QqK42odW29WUU\nBAEvr4AOrYpVVdXj65vSfpxSGYDJ1AC0tQb66qslbNiQiUIh58Ybr+ell/5EVVUVOp3uiudinQ+j\n0YgoWmhpseHlpaWurgSjUf+raVsUFBREXYkdi8mGb4CWgmMV+Cj9L7uQjI2N5anHn5Mam0v8ZpDE\nlsQ1icvloqCgAKfTSUxMzGVNQs7ctZXOyTqO5lsJDPCwe38ePfuPPaX/29Chw3A6/s2OLYsIDlJy\n8Kgv0297EI1GQ6dOnWgZ+xDffP0Wm7eb8PEWCY8MZ8iw2xk6bPQp4aSoqCjuuPtvbNnwOjeMCyPQ\n4M3n31TQ1FrIW689jEeETl1GMumGm0956MTG9WDT+g3MnOqLl5cXdSYb6Wlh5BSVtu8zcGB/evfu\nSVNTE7t2bmHxyo0oFHKuG/oQSUlJHboXcrmcm2+exk03TUEQhA6Fwurr61m3bhOVleUUFZXSo8dY\nPB4XdnsJSUk9z3t8167xrF+fS3R0T1wuBy5XJTExQwH4/vt1rFx5lOjoUbhcDj78cA3FxcVYrU78\n/LSMHTvyqpqpBgcHM3v2FD78cDEejxJfXwWPPDL7VxFChDYxOWnYbSx99zOU3iB3+XDXzQ9ctuur\nqKigoqICvV5PYmKiJLQkfjMI53OvvqInFwQRzu+gLfHbwuFw8NaCeZTKrCi81Sgrmnj09jlnbEB7\nMXw8/z/0Ty8kyOiDyWynstpKcXVvbr713tP2NZvN2Gw2AgMDT1u98Hg8tLS04HA48PLyorKykoIT\n+Wi8tWRkZLQbq4qiyNYtG9m3ZyWCIMMj6okOzeOG8bG4XB4WLS4iKeVe+vX/MRfF4XDw4gt/obVx\nCaOH+hEbl8Legx58DFMvKGR6uWloaOBvf3uVxkYjcrmaw4dX4u+vJSQkmClTRjJ27OjzPpjtdjvv\nv/8J+/fnIZOJTJs2muuvH4kgCPz9769iNkei17flke3atY6mplzS0yditzei19fwf//3O/R6/Slj\n1tTUUFZWhlarJTExscPiwOl0YrVa0el0HU7uh7bWMzabDX9//ws67pdCS0sLTU1N+Pr6XnKbnh/Y\nu28PyzZ9QmiiD/XlzSSH9GPa5Om/GqEq8dvgh++rKIoX9MWVVrYkrjl2Zu6iwt9FxtS2XoEnMrP5\nZvV33Ddz1mUZ388vjILiLBLiA9DpVBzOMePnf+bScH9//7O2FPkhBOjt7c3BA/vZsOYNMtIEKgrc\nHDqQzKzZv0elUiEIAoMGD2PQ4GEAfPDeS/RMD0AmE1Cp5HTr6sOJihMcOeJPWWkhen0APXv14um/\nvMCXXySyO3s7ew5DUGhvxg+7/rLcg4slKysLk0lLbGwqAHp9IJDNyy//5bTEdJvNxpdfLiUvr5iI\niCBuuWUKBoMBjUbDww/PwW63o1AoThErBoMfpaWmdrFVVHSctLQ0DIbIk69t5OTk0KdPn/ZjDh8+\nzGuvfYLH44/bbWXIkM7ceedt532I5+Tk8NJLb9PU5CEoSMfjj8/qcNXdD5/7tUBtbS3z5i2koKCM\nyMgQZs++7ZLDrV5eXpfVb83tdrP0+88Ye18KvgFaXC43S/+7k5KSflIzc4nfBJLYkrjmMDc2oIsM\nAlEkN/coheVZbF+5i4TQUIaPGHPJv4SHjRjH/A+OUbqwCI8H3EIyd4w/fzL5uVi/9lNumxpISHBb\nRdWir/PIzs4+zQMIwM8/jIKiPKKj/BBFkcLiZooqyqkuW0+3rgqK81wcy9nNzDsf5pZb78FiuREA\nX1/fq74K0LYK/WPoRxBkgHCa0BJFkbfe+oBjx1wEBnZhz54Ciope5/nnn25f8TtTntPUqePYv/9l\n1qzZjcPRgiAUExEx9Sfjek7ZXxRF3ntvEb6+vdHpDHg8bjZt2sDAgcfPKZwsFgtz5vyJ+vpY1GoD\nxcVWXn75Hd588x9XLf/KYrHQ0NCAwWA4Y2XemXC5XLz66ruYTEZCQ8dQXV3KK6+8x/PP/+maMqdt\nbW3FI3PhG9B2XQqFHD+jF01NTVd5ZhISPw+S2JK45oiLjGHDjmW4tXLszccIdlQzckwgBbmL8Pc3\nktGz1yn75+bmkp+bjZdGR5++/c9rwqjVarn3gT9TUlKCIAhERUVdcqiktbUJve5Hg1JfvYDD4Tjj\nviNHT2b+B/kUlZbgcHoQ5V2wNhzjvoci8PFRIYoi8z4+QGFhIQkJCadZHVxNUlJS0OnWUFFxDLVa\nS0NDDnfeObx9u91uZ9WqteTmFrBu3XbS029m7971NDRYaWoqo3v3b7jttlvOOr5SqUQmkxEcHIxG\no6WyUsnBg0vo1GkkLS2NGI2tdOnSBY/HQ2FhIc3NzdTXW0hICABAJpMjk+mwWq3nvI5169ZTWekh\nPLwbgiDQ2FhDTs5+zGbzVRFbmZm7ef/9xXg8GpTKVh555Ha6dOly3uNMJhM1NXYiI9sc34OCYikt\nLaKmpuaqtFY6GxqNBqM+nEM7j5PaJ47KknrqS5yEXX91Cx4kJH4uJLElcc2RmprKuNoqXn3xdUJC\n7FzXKYCbJnfiWF4dxwuPnCK29u3dw9aNb9IvQ4XJ7OT9dzcy5/5nzptQr1QqiY+Pv2xz7tR5ICvW\nfM/wQWHU1TdzOFfFndedeXy9Xs99Dz5DaWkpMpmMoKAgXn/lITQaJbV1TZSVN2Kz2igrK2P9mi8x\nmUoJCU1i8pQ7zxrS/LnQ6XSkpsbyzTffI5crufvuKQwb1pbc7na7mTv3fQ4fbkajCaK42ENZ2Xt4\ne2eg12fgch1jyZKd9O3b+6z3Picnh9bWILp16w1AREQKxcXf0a2bgJ9fBKNGzUSj0fDWW++zb18J\nMpkXJSUleDzbSUoacNIE1kxkZOQ5r6O5uQW5HFyuZpRKH+RyGXZ7w2m5YD8HZrOZefMWYzAMRKPR\nYbXW8+abH/Paa387Y0P1n6LRaBBFB05nC0qlFy6XA4/n2rOhEASBO2+5l8++/ohP1uzAV2dg5pQH\nrqkfEhISVxJJbElccwiCwOjhozBXlxDmv4NBA9t+oVdWt6DVnVqJtnXzV0yfbCQ0pG01q3V5IVlZ\nWfTrd/bGzpeLo0eOsDtzNaLHQ0raYCorlCz4ag/e3sFMu/nWcyb0q1SqUwRHeGQP3v1wHXW1RYQY\nWzhRIOPA4b/z5IOJJCUY2H/oCJ998gb3P/TMVa3g+vLLJWzfXk16+kyamxtYu3YvgwcPxmg0Ul1d\nzdGjVcTEjEAQBHr0GMHq1XOJjOyL2VxMdHQIWq2HysrKs4qtNv8wd/trUfQQERHOvffe2f5eZmYm\nu3dXEhc3HEEQEEV/6uq2U1xcj6+vN489djtGo/EMo/9I585JxMYGUVW1A0HQY7MVcccdQzocvruc\nmM1mRNG7vcWSTmfAbJZhtVrPK7Z0Oh3Tp4/ms8/WIQgGRNHE5MnXXdGKzT17d7Ny4zc4na1069yH\nyeOndqhIwN/fnwdnPyHZPUj8JpHElsQ1y4hRk5n/QQ419cU4nSK1DZHMmjP0lH1cLgean+SmaLwE\nXC7XFZ9bXl4eq5f/m3EjfZDLZKxYN5ehI3/HxMnTL2q8m26+h0cfWsGEESoiw0MYPSqCue9sQa3u\njEajZEDfCHYfKKahoYGAgIDLfDUdZ9u2/UREDKW6uo7CwnIaG2tYt24dt9zyQ2jwx8riTp2SyMoK\nIDTUSWxsV4KDgygp2XzO1bmUlBSCg9dQWLgPm81Bc/MJ7r9/MqIo4nQ6UalUmExmFAr/9vy1oKBI\nAgM78dJLTyOTyTqU15aRkcGcORNZvHgtLS0tZGSM4PHHH7ike3OxGAwG5HI7TU0N+Pj40dBQhVYr\n6/Aq2+jRI0hMjKO6uprAwEASEhKu2FyPHz/O8m0LGX5HZ3x0GrZ+t5dVa9RMHHdDh8eQhJbEbxFJ\nbElcswQGBnLfg3/j+PHjyGQykpKSTkv6TUkbyrervmLE4CBMZjuHcry4a3anKz637EM7GDpARXJi\n2wrCaLeHvYc2k9at20WNp1ariQgPZdzYPshkAlarFX8/aLC0ANDU5KClVbjsSc+iKFJQUIDdbicy\nMvIUr7Ez4e2toajoOEeOVKPRBGOzeVi0aDW9e/cmNjaWtLQIDh7ciVYbhtVaxsyZE6mutmC1nqCs\n7DAjR3Y7Zy6STqfjySfv44knnqaqyorBEMbHHy/h669XI5eriY8PY9iwfrjdVTgciSiVXlRX5zJ4\ncPwFtekRBIEpUyYxZswoXC4XWq32vCLN4XCwc+cuamvriY+PIT09/bIULPj6+vLAA7fw3/9+hsmk\nxNtb5NFH7zqtT+C5+Ll6AR4vyCehpz+GoLbvSc9hiWz/7CAT6bjYkpD4LSKJLYlrGq1We85GyiNH\njWfzJjXL12fipYli+m03nDeEdDmQyRS0tv4Y7mptdSGXd/zhePp4MsIjU9iy/QiDB0bS1Axl1eFs\ny7Rgtbo4dkKk74BbL2sujsfj4cMPP2Hr1jzkcm80miZ+//s5Z2yH8wO33TaROXP+D6czBmggLExL\nYGAndu8+QHx8PA88MIt16zZSVlZFTEwfhg0bgsPhoKKiAo1GQ3h4+HkFSkFBATJZDCNHDqS52cKK\nFR/j5xfMiBEjKSk5xrp125kxYxhffrkatxvS0+OZPv3iHvYdTYZ3uVy88cZ7ZGVZUKsDaGnZy/Tp\nVYwb12bFcamiKz29G6+9lkRjYyN+fn7nDR9eLXy8teTX2ttfm2osaL3PLdAlJCQkU1MJiYuioqKC\nhfOfY0AvJ3KZwNbdMO3mp4mNjb3oMS0WC1998R6V5UdRqrSMmzAbQSbDbDYTEhLSYQ+ojpKdnc2/\n/vUVsbFDEAQZ9fWl+PtX8Nxzfzzncc8++zz795sJDo4lNDSR8vIcJkyIYcqUSZc0H7PZzNKlK9m6\ndRfFxQ7697+Rurpitm3bi04XwqhRgxFFkeLi5bz77gvIZDJcLtfPUj2Yn5/P889/QnT0UARBwG63\nsn37OyQlJeHj483tt0+md+9e5x/oCpGbm8vixatoaWll0KBeDBs25IqE61paWnj7g9cQAurw0imp\nPNrKrOmPSl5ZEr8ZJFNTCYmfkbCwMG6/66/s27sD0eNm+m19L7nU3tfXl3vm/B6Xy9UeEtu5YytF\nBQeorvTFz8/vsq7aWSwWZDL9Sa8s8PUNpqbm8Gn7iaKIw+FoN2i9446bqah4D1EUKS8/ilZbR9++\nN7Jw4Rds3boPjUbNrbdOvCDxYbfbefnludTW+iGKKRQVrUahWEFiYneam0tJTGwLPTY1mdHp1O1z\nOVditsfjYceOneTmFhIUFMDw4UMuemXQ5XIhkykRBAGXy8HBg2spK4OBA0fh8Th4++2vMRoDL0ls\nXyzFxcW8/PKH+PikolJ5MX/+BgBGjBh22c/l5eXFg/c8zpEjR3A6ncTfHX9V2ydJSPxSkMSWhMRF\nEhoayvgJU8+/4wXyg+fX2jUrKDn+OYP6+VFbb2f+BweZc//fzptX1VEiIiKAWlpabKjVPlRUHKV7\n91OrBE+cOMFbby3AZGoiPNzAQw/dRXx8PM8++yD79h1EJhNITBzF2rUbWLeukKio4Tgczbz11mIC\nAvw7nKxdVFREdbVIdHSbM/3QoT7s3PkhERECo0YlYbOVUVJiQy638Mgj53eHB/jmm2/59tsDaLUx\nNDcf5sCBI/zpT49eUC7UD0RHRxMQ4Ob48Uxyc7PJzz+Ot7cfx4/voWvX64AQCgoKr4rYyso6DERg\nMEScfCedLVv2XBGxBW35hT169LgiY0tI/FqRxJaExDXK3t0ruGmCP8FBWhITDNTUFrJ69WoSEhKI\niIggODj4ksaPiYlhzpzJLFiwBIfDTefO0dx554+GozabjVdf/QClMo2YmBBqagr5z3/m8cILfyYq\nKgqdTsfCBa9RcmIJW7cdQqYchUKhQqlUI5eHk5eX32Gx1baS50EURQRBIPE0FYIAACAASURBVCQk\niD59uvPOOy+hUCgoKiqisbGR8PDwDq2kOJ1OVq7cRnT0aBQKFRBHYeEmCgoK6NTpwgsovL29+dOf\nHuKuux7GalXh75+Or28s+fn5GI2FeDxWtNrL1yz9QlCrVbjdre2vHY4WDIZrM+dLQuK3yiWJLUEQ\n/glMAFqBE8Bdoig2ntz2FHA34AIeFUVxzSXOVULiN0N9fT2HDu5B4WnB7VaQ0b0zazeUU1i+keDg\nIuRyE489djspKSk0NTWRk5ODx+MhOTn5vCtfB/bvY8e2pbjdTtLSh/PWWy/gcrlOq3SsqamhpUWN\n0RgCtLmTl5TkYbFYMBgMLFv6CT26ljOgbxRdEspY+MUWamuTCAqKxeWyotN13LMqNjaWxEQ9ubmZ\naDSBNDUVc8MNg9rDhBe6YiSKIqLY5ij/I7JLyg9Vq9WUl9ehVPZBEKCiIhcfHxeFhVsZPrzHZV3t\nqaysZP36LbS2OunfP4POnTufdd8+fXqzZs12Cgv3IpergTKmTLnrss1FQkLi0rnUla01wJ9EUfQI\ngvAS8BTwlCAIXYCbgM5ABLBOEIREUcqEl5DoEEu/+Yjpk41EhpYTGCDw8hvb2LonkQkTJqNWe2G1\n1jNv3iKee+4PfDjvRaJCK1HIBTZv8OOOu/98RkNVURTJyspi07rXmTbBgFqtYNmqBSgUSgZeN+S0\n/XU6HR5PM05nK0qlGrvdikLhbnfnr6k6wZTRbTlkGT26kLl7PVv27qSpqYykJA29enU8Z0upVPLE\nEw+wceNmamtNJCWNp0+f3hd835xOJw6HA29vb4YM6cH69dvx90/AZqslNFR2SWG+zZu3Ipe3OZ4b\nDAkoFEpEMZMHHriPsWPHXnLLpx+orq7muefexOmMwO12smDB0wwe3INx40bSp0/v00Kovr6+PPPM\n4+zevYfWVgepqROlhHUJiWuMS/rvIIriup+83AX8kMAyEfhcFEUXUCQIQj7QG8i8lPNJSPxWqK46\nzq33dsdsDsdkqiIwUCA0tDNqddvqk1brT0lJM1s2ryU1qZoRQ9tEROaecjauX8b0W+45Zby6ujrm\nzv2QzJ1bGDW4FJWqP0HGYEYOCWTtth1nFFtGo5EbbxzGwoWrqayso7XVwowZ49pzngzGKI7l5dIr\nIwwfbx06/87MmDGIrl270qVLlwu2L/Dy8mLMmNEXcbfa2Lx5CwsXfofLBUlJ4dx770yMxj0cPXqC\n4OBgJk6886w+ZQ0NDTQ2NhIYGHjWJPqGBitduvSnqCgPi6Uct7uRXr2imTBhwmVtEJ6ZuZeWlmBC\nQmLYvHkxDQ0RrF1roqhoGY2NVkaNGnHaMb6+vowcefr7lxOn08n69RspLq4gIiKEESOGXrMWFRIS\n1xqXM2frbmDRyb/DgZ0/2VZ+8r0zcq5/VNJimMRvEYMhirzjpXRLDScwMAS9vwaoZ9OGJbjdTmrq\nThAb60fmrkymjPmxIs8Y6E1OYcMpY4miyFtvfUhFhS/GoH60tDaRmZnNiOE6LI2tqNRnzzUaNmww\nq1ZtpLk5Bn//MHbuLCck5DumTJnEhEkzWbjgFQ4cLsHWJBIdN4lR10/skEHopeDxeKipqUEURYKC\ngpDL5RQUFPDhhysJCxuCSuXN8eNZfPrp1zz88BzGjj33eJs3b+Hjj5cDGjQaF48/fvcZ2wmlpnbi\n++8P0rv3KJzOVqqqDjJ9+lDq6+tRq9XnbYB+IdcnCDLq6oppbtah08Xj49NEeHgKy5dvOqPYutKI\nosi8eQvYtasKnS6CHTv2k5dXwKOP3ic5wkv86rgS/7/OK7YEQVgL/DQTV6CtJ8fToih+d3KfpwGn\nKIqLzjCEhITEBTJpyt18+vG/2HuoFEujh8DgoaR1XUtN1R727DcjemIRPQkcOGSlqiKff/89AIVC\nxpadJuI6nep31draSlFRNdHRvWlpCWfPoUPYbPk4XLkUlIUw/bbJZ51Hfn4+VqsP6enXAeByxbNi\nxfdMmjQeo9HIg488R3V1NYWFhXzxxSqWrzxIaKgvDz88i9DQ0Mt+XxwOB++88xEHDhQBAl26hPLQ\nQ/dQXl6OIBhRnxSOISGdOHp043nHq66uZsGCFQQHD0Gt9qahoYo335zPq6/+7TQRkZaWxqxZFr75\nZg1Op4vx49PYvfsgX3+9GXAyYcIgJk8ef8n/qHv16sHKlduprRVoaWlCFKtJS2uzvvB4PJc09sVi\nMpnYsyef2NjRCIKMwMBosrLWUF1dfUU+ZwmJXxvnFVuiKI4813ZBEO4ExgI/rTMuByJ/8jri5Htn\nO8f5piEh8ZsiJCSEBx95nurqajQaDbm5uYQbMjEEBPLmuxbCQpPYvb+VjJ5jyc6q552PrYiih+4Z\n004LCapUKnx81NhsJrTaAOITb2Vf9lek9BzLzLuHExISctZ5uFwuTKZK5PIj+PuH4uWl5af9D1Uq\nFVqtloULV6DX98FoDKC6uoA33viA55//8ymCRRRFDh06xMGDOej13gwbNhg/P78Lui/r1m1k7946\nYmNHAgKHD+9m5crvSUyMw+NpwONxI5PJaWioIiTEcN7x6uvrEQQ9anVb6NDPL4Ti4n00Nzef1pRa\nEASGDBnEkCGDAJg7dx6lpd5ERfXB5XKwZMlmkpLi6Nq16wVd0/8SHh7O00/fz5IlKzGbc/Hzi0St\ndlFevotbbhl8SWNfLG3/o/9XRF5awYGExLXKub7XF/tj6lKrEa8Hfg8MEkWx9SeblgGfCoLwH9rC\nhwnA7ks5l4TEtYgoihw+fJj6ujqCQ0Lo1KnTZVmCLi0t5YMPFlFZWUenTrGkp3eizuwh0ACi6MZu\nd6FQqhFFN5FRkfzxzy+e9bwymYz77ruV119fiNnsi9vdyKxZU5k27YZzztXpdLJq1UYKCqrJybGj\nVDaSkBDCjBnDTulDWFVVhdutR6sNQBRFgoPjKCk5RlNT0ymhta1btzNv3gp8fOJpba1i586DPPvs\nE6eF3+rq6igrK0Or1eLj40N9fT2BgYGEhIRQVlaFVhv2EyPWCIqLK7nhhokMGXKILVvWI5d74+3d\nwt133wu0fUY1NTU0Nzfj7+9PXl4ezc3NJCQknDSJtWK3W9FodJhM5QQEeHfI/PT48VKCgvoAoFCo\nkMmMVFZWXbLYgjZfr8ceu58ZM25k1ap1mM1Wuncfw8CB/S957IvBYDDQvXss+/btQq+Pwmotp2vX\nkEu2H5GQ+K1wqTlbbwIqYO3Jf9q7RFF8QBTFo4IgfAkcBZzAA1IlosSvDVEUWfrNIuqqVhMfLbBp\njUhJ8TRGXz/xksa12Wz885/v0tDgS1GRha1bV5KYuJURw7qQlZOD01nO1p1u4hL6UVa2nTvuGHle\ngZeSksJLL/2eiooK9Ho9UVFR5z3m0KFD5ORYGTfuHk6cKKSmpgy7PQeNxovc3FySk5OBtuRsk6mU\nw4fX4XC48fVVkpDgOkWwOBwOPvnkG7TaHgQFtfVHPH58O/PnLyA4OIzExFjS09M5duwYr746H7fb\nn/LyfJqa6khK6g00ctddE4iODmPbtkyMxmhAwGIpRRB8WLBgEVqtN489dhNeXl6Eh4ej0+kQRZGv\nv17CypW7EUUleXn7CAtLR6s1IJOt4oknbmf27Bv44IPFeDwqdDqBRx65p0N5SNHRoeTklBIW1gmP\nx43HU4/ReHnd1AMDA7n99psv65gXgyAI3HvvnXz//ToKC8uJjOzMmDEjL6j5t4TEb5lLrUY8a7M2\nURRfBF68lPElJK5lampqKDqxlofuiUaplNO/j4vX311K/wFDLylZuqKiApPJxbFj2SgUXQkISOfI\nkY0MHuxLasYThMXUU1VVi0ymoGvXkWds1O10OikrK0MQBCIjI5HL5RgMBgyG84fW3G43S5d+x0cf\nfU5eHmRkhNG5czL19XWUlNhYsqQAt3srs2aNZ9CggSiVSpqbzdhsZlSqQCori+nZM639QWwymfj3\nv99mx45sBEFGXFwdaWkp5OTkU1enJjJSwXff7WPYsGwWLPgGh6MTUVH+VFcbcbvdeHtHotMZWLDg\nO/75zz9y4kQxu3d/jyDI8PV1s2dPHXq9Boejjp07D/HXv/64WpaXl8fy5XuJihpOVdUJ6utLUal8\nSEnJwGKp5tNPv+XFF58mLS0Vq9WKv79/hx3mZ8yYxr///Q6lpZW43S2MHNmdtLS0C/ikf1mo1Wom\nThx3tachIfGLRHKQl5C4SFpaWtBpZSiVbaLCy0uBRnPy/UsQWxqNBoulCrc7AJ0uGJfLiU4XT3b2\nCR5//KHzrkjZbDbmf/AKXsoi3G4QlJ2Yeeejp9keiKLI7t17+PzzpVgsDQwb1p+bbrqJbdu2s3Tp\nAeLiJlJauoKDB4/Q3NxISclRUlL6EhWVSktLLJ999h3XXTeAsrIywsO7k5KSQEtLEz4+o6ip2YTL\n5UKhUPD550uoqfEjPX0U2dm55OU5aW6upKmpjOHDH8bb25eGBj9eeultQIefXziHDhXjcDSj1/vh\ncNhRq30QRRWtra3cf/8sJk2qYP/+/cyf/yV6fS9CQtqc6gsKdpOVlcWgQW15VSaTCZksALlcicvl\nQK020NjYdPI+67Fam4E2h/gL7ZtoNBp57rk/UF1djVqtJigo6IpWYUpISPxykcSWhMRFEhISQmOT\ngX0HKklONHDocA2CPJKAgIBLGjciIoIBA7ry/vvbEEUjgmAnOTkMna6qQw/z9WuXkxxTxMhh0Yii\nyLKVR9m6ZT0jR526KrFv336eeeZNSkudQDCbNy8mKyuP4OAQ/P2TCAgIo3//4ezcuYrS0sOEhhpJ\nTW2rSlSpNDgcTkRRxMfHB7fbho+PPzpdIDabCZ1O076yVVJSRUBACiqVhpKSHI4d24YoKomMTMLb\nu83t3mQqx+UKIyYmGJOpEl/fCAoKtuHl5UCvH4TJVI5WCwEBAbhcLhYs+ILsbCt5eSo8nkxAIDo6\nFZlMfkrFXkhICB5PHQ6HnYCAMByO9eh0nbBazRw5somMDD+qq6tPyz1yOBx8991Kjhw5QWhoIFOm\njD/jqqBarT5vA/K6ujrWr99Mc3MLGRmpv+rVLwkJiTMjGaRISFwkarWa2+/8PQdzE3n7IyvHy9KY\nccdjl5zHIggCTz75GFOndiMsrJL4eBXe3mXMmDGZyspKqqqqzmkBYDaVER+rbx8rPtYHs6nytP02\nb86kosKGwTCI4ODu+Pr2Z+fOYpzOFpqaTAAEB8fRvXs/HnvsbtLT46mvL6O52UJRUSYDBnRHFEV8\nfX3p0SOMoqINlJRkYjbvZvbsm9uFYWJiFLW1J8jN3UNDg5rg4FFkZNxOZWUNOTlbsFrrqKnJIzhY\nR69eIwkMbKaxcS3BweX06BFIff0OVKp8fve72ajVajZt2sSnn27l6NFWnE4dra3+7N27kfLyY/j4\n1JOSktJ+jbGxscycOZrq6g2YzfsZOjSOHj1kbNr0X2w2EyUl3jz77H8oKio65d7Mn/8Z3357lIaG\nKHbvbuLll9+iubn5gj9Ls9nMP/7xOt9/X05mpp1///tTMjOlWiEJid8a0sqWhMQlYDQamTX7ycs+\nrlKp5IUXnuXQoUM0NTURHBzMt99+T05OFSDSvXsM9913Fx6Ph7y8PNxuN4mJiWi1WkLDkziQnUVM\ntB8ej8jBw1aiE09vCK1SKXC5XMjlbeFFUfSgUGjo378nJtMmioq2ARAWJnDDDRMYPnwwixYtoa6u\nkrFjkxk1ahj//Oeb5OVVI4puOnUyMnz4IKKjo0+xk5g+/QZqat5n0aLNuN2d8PVVUFfXjL9/Mr6+\ntej1Rdx222AOHsylqiqXmJhOhIQoePjhP9OrV0/sdjsajQZBEHA6nSxY8BUejwF//yRaWmyYzXmo\n1U307KlmwoSHTmtUPXz4UPr164PdbsfPz4+1a9fR2GggNrYnADU1hSxY8CXDh/dHqVSSnJzMjh3Z\nxMSMRSaTo9cbKSnZSnFx8Tl7FJ6JQ4cOYTbriY1tW81qbPRl2bL1F9WKSEJC4peLJLYkJK5RFAoF\nGRkZAHz99RKOHm0hOnokILJ3705WrlxNSeFejH4lKJUCG9YGcMfdTzF02PV8+Xk5/567G49HJCF5\nJP0HXHfa+OPGjeCLL5ZTXr4FL69IRLGGuDgfunXrRkZGBvn5+QiCQFJSEhqNBp1Ox5NPPtR+/Cef\nfE5enpuoqFGIooecnK0MHuw+zbdLq9Xyxz8+gt1uZ/nyIurrTTQ1ubHZqunWLYRnnnkCmUzGpEmN\nbN26naYmO926DW2vdvxpLpXFYkEUteh0Jmy2UlQqX9zuam66aQz33nv25ss/zclqbm5BqfxxzNbW\nZpYv30RBgYAoOoiIWIvH48LtdiGTyRFFEY/HeVErlm63h58GEGQy+cn3JCQkfktIYktC4mcgNzeX\nosJ8fHx86dW79wX3lCspqUKvDz8ZmhPQasPYtGkD1w9u4PoRMQDszCxnw7pl3HTz3dx2+33YbDMQ\nBOE0c84fiIuL46OPXuGtt96npKSM1NRk5sy5HV/ftjyqM1U5/pSCgjICAmIQBAFBkKPRhFJWdnq4\nEtq8vnr1SuHNNxciCEmI4nEMBicNDeHU1dURFBSEXq9n3Lgx5zxnm/eWgp49B3PixGGs1iIiI53c\nfvv0c99A2qpHKyoq8PXV4nAU0dhoRKFQceDAasLD+xMb2+vkde0iMTGEvLytaDSRtLTU07Wrgbi4\nuPOe439JS0vFx2cdFRW5qNU+NDQcZdasi+//KCEh8ctEElsSEleYnTu2smfnPHqkKqgqdvJR9jZm\nzX4SpVJ5/oNPEhMTzqFDR/H3DwNEbLZy4mKVhAb/WGEYGuJDTmEt0Jar1ZGKyMTERF577eULvqa2\nOYWxeXMpWq0BUfRgt1cRHp5y1v23bz9AYGA/tNokBEGG05mPxVJ7Qb31vLy8mD37Jt555ysiIgLw\neBTMmDGjvWWMyWTiyy+/paysmuTkGKZOnYi3tzdZWVm88caneDx+eDxWOncOwmrNx+FwkpQUQnj4\nj+FBpVJLt24xjBkTwokTxQQGJjJw4AAUigv/d2k0Gnn66QdZsWItTU02+vSZQL9+fS94HAkJiV82\nktiSkLiCiKLIpg2LuG9mKP7+GkRRZOGXxzh27BipqakdHmfs2FEUF5eRlbUGUfTQr18iPboPJ3Pv\n28THOlAqZWzLrCcm7voreDWnMmXKBEpK3qWwcB2i6Oa66zqdU0i0tLiIjo6htrYFlUqHxeIgNtbY\nIe+vn9KrV09iY2OoqakhICCgPWzZ2trKP/85l7IyNf7+4axfX0Jd3XweeeRe3n13EX5+fdBqA3C7\nXeTmbuCvf52NTCZj5crv2bLlIDExfXE4WnC5SunceTSJiYn07NnztPPX1dVhsVgwGo3o9frzzjc8\nPJw5c+68oGuUkJD4dSGJLQmJK4goiricrWi1bYJCEAR0PjIcDscFjePl5cWjj953spef0C5QrFYz\nr723BNHjIS19HIOHnLOVKQC1tbVkZx9GJhNIT0+/4P6EP6DT6XjqqceoqalBoVBgNBrPaU2Rnp5M\nfX0JQUHBmEx1+Pm5efDB2RflTRUYGNieCC+KIo2NjWRnZ7N27W48nkBE8TBxcXEcOlRLfX09zc0O\njMY2Sw65XIFM5sPHHy+isNAGqGhszKeqykpgYAAPP3wTiYln9mvesGETCxeuRBC0KJXNPPLITLp0\n6XLB85eQkPhtIVzNLjqCIIggNaKW+HXz5ecfIXdvZPCAEKqqbaxcLzD7/n/g7+9/WcYXRRFRFDsU\njisvL+cf/3iL5mYDoujC7T7ByJGDiImJpF+/vu25ZHa7nW3btmM2N9K5cyIpKSmXbNhpt9uZP/8z\ndu8+glr9/+3deXiU1dn48e+ZNTNJJjvZV9YQZN8UkcViFYogYkEtVrS2Ki6t/XXR2r5trb7W1rq/\nVquVFhRFWkUUBVFZlFV2CIRA9kAI2feZzMz5/TExggRJIEOA3J/rysXMM888z5k7JNyc5T4mbrnl\nOi677FK8Xi/79++npqaGhIQEEhIS2n1Nj8fDwoVv8tlnO9i7dye5uWb69ZuOwaCorNxIcnITb731\nEn/724sUFgYSG9uPurpy8vI+wGjsQb9+V2EwGCktzSUhoYqHHvrZKe9VWlrKr3/9JDEx47FYbNTW\nluF0buXppx85oyFGIcSF56vfg1rrDv1ClN8QQvjZ9Bk389FyO2+8s53AoFRunDO70xItoGWCevt+\n7t9/fyVebwqpqX04eHArGzce48iRXSQk5LNp0w5+/vN5eDwennjiOXJyNBZLCMuWbWHu3KuYOHFC\nh9qltSYzM5OcnBxiYmIYNmwYd911O3fc4cZoNKKUQmvN/Pmvs2ZNFgZDCFDG3XffwIgRJw/ftWX9\n+g2sWpVNaurVHDpUi8nkpKBgH5GRsTQ2atLTkwkMDOTuu+fy4ovzOXhwGcHBAVx77Xg++6wcg8G3\nwjA0NIYjRw6edP2jR4+yd28mJpORoKAglArGYrEBEBwcSWWll/r6+tZFBUII0RZJtoTwM4vFwrXT\nZwGnXzHnb/X1TVitDrxeD5mZ23A4RuJwBJGaOoB9+1Zz8OBBnE4nublOUlN95SKamhJ4++2PmDBh\nfLuTOq01r722gGeeWUhDgx1oYOrU4TzxxB9P6AXKycnhgw82EBzch4CAYIKCevHqq28zbNjQdvXU\n5ecXY7fHA9DcXIfBUInZ3EhqaiqNjXamT58MQEREBA8//HNKS0spKytrqeq+D5erEVDs2bOKfv0C\nqKqqah1Wzc/P57HHXsTpjKK5uZGAgKO4XAbq66sIDAylvLyQsLCAE1Z7aq0pLi6mvr6euLi4s9q2\nSQhx8ZBkS4huZOTIQWzf/gFGoxmnsxGjsZbY2LSW3jELzc3NuN1ulPp6paTJZKG52dOh+xw+fJhX\nX/0vMJj4+P40Nzfx3nsfMmXKGq688srW89asWceuXfkEBgbi9VaTkhJFWFgzzc2+r+rqasLDw7HZ\nbG3eJy6uB/X1WWzbdpC6ukCcThceTxWFhR9x223XM3r01xP2V69ezVNPzQfCCQ01k5oaTG7ucnbu\nzMRkiiE4OJ3f/e6vPPTQPcTExPDOOx/i8SSjVDP79m2ntraG5GTweJqprGzAYvHwwAM/aq2/pbXm\nzTeXsGLFNgwGO3a7k1/84g6Sk5NPG689e/awcOG71NbWM2rUQGbNmtHh8iBCiPOXJFtCdCNjxlxK\nc7OLFSu+IDnZDDQRGGjm8OEswsJcpKam4vF4CA5+hyNHDhAUFM6xY5lcffXIDs3Zqq+vp7HRg93u\nK8lgNgdgNEaQl1fcek5zczOrV28jKCgDiyURq9XGvn0fcP31A9m5cxf/+McSvF4rAQFufvrTuW1O\nWh879nI2b97GK6+sIyhoNAMGJJKR0Zvy8g1ce+3VrYnQ1q3buPvuPwAjMZttxMQEANWMGTMQjyeO\nXr1Go5Ti8OEs/vvf5dxww1SWLv2I4mI3lZVHSUj4LsHBIWhdSUHBDuLjh2G3R/LPfy7HZrMzdOgQ\nli9fzsKFH5KaOp7i4kNkZR3ml7/8Pa+//o9vndNVXFzMU08twOEYRkhIMKtWbUepd5gzZ3a74y2E\nOL9JsiVEN6KUYsKE8UyYMJ7GxkaWLfuQPXuySU4OZ9asea1DYg89dA9vv72Mioo8xo0bxuTJHSvE\nGRsbS0SElaKiA0RFDae29hgGQxkBASaysrLYu3c/TU1NOJ3NXH75OLZv30tt7WHCwwOZNOkKXn55\nCRERY7DZHFRXl/LMM6/x1FN/OKk2mdls5rbb5rBtWz5xccMIDg7GYDDQ2BjYeo7Wmn/+czEGQzgR\nEf0AKCnJIzDQS3l5FUFBEa2JZGBgKJWVR3j22VcIDByM1rVoncThwzuJjOxNeHhPtm3bxIQJ4zAa\nTdTVJfL66++xdu0mPv10H1lZTrZt+zthYYMICurL1q3rWbjwLW699eZTxmrv3r1UVFgJDDRhMllJ\nSBjC5s2fS7IlxEVEki0huhmn08mCBW+xYcMOrFYrN988lTFjLjvhnJiYGO69944zvkdwcDDPPvsI\n8+Y9SGHh67jdTURHh7N06VYee+wV+vf/DkFBweTmFgC7GTduNJWVJRiNRiIiItA6EJvNV8MqJKQH\nBQWa2tpawsPDT7pXZGQko0f3ZefO/WidRHV1Ef36RREdHQ34kq3GRhcRET2oq8sjODgVj8eFx1PG\n6NHfZd++j2lsjMVoNFFWto9x44axdOkahg2bgsm0iy++2IPWVtLTY4BGbLaA1on1FouNvLxCKitN\n9OkziZyctTidVhoaaggIMJCcPIo1a7Zx0003YLFYTmr70aNHmT9/Mbt3V5OTA7GxDvr0icfhaLvq\nvxDiwtT+0s1CiIvCkiVLWbu2iPj4KQQHX8bLL79Hdnb2Kc8/09Is6enprFr1X/7970cZPfpSJk36\nKS6XHRhKSYmbpKQB9OgxnMOHN5GZ+SY9epTyy1/+hOTkZJSqp7GxBoDq6lLs9lNXxDcYDNx99+1c\ne20/EhIqmTy5F/fd9+PWIUSDwcCwYf2JjY3Gbj9MaekyPJ713H//D5gwYQK333419fUbqKhYzfTp\ng5ky5WrsdjP19ZUMHjyIK68cisNRhclUQkjIEQYNSuLYsTzq6iooLNxM//6pGAwOQkNDychIBbzU\n15fgcLgYPHgASnHKIdg33ngHu30oKSmxQDnZ2TvJzV3JnDnXnVHMhRDnJ+nZEuIi19DQwOLF77Jn\nTzYxMZEcPJhPbOxYDAYjNlswBkMsOTm5J82JWr9+A4sWvU9Tk5Nx40Ywa9aMDm0xBL5Ex2AwEBAQ\ng9FowuVy4nI5KSgoZu3adRQXHyUqKoagoBSiosKIj4/HYDDw4x/PbJ2zZbN5uP/+ud9674CAAK6/\nfjoAdXV1rF+/gcbGJjIy0klLS2Pu3JswmxezbVsjQUHx/OhHs+nXrYENXgAAIABJREFUzzekOH78\nOMaPH3fC9e6662aeeWYhFRXBBATU8vDDP+SKK8YQHR1NeXk5ixe/R1XVUWbOHEZGRj/+9Kd/UF9f\nRb9+fTl4cBM2WxT9+kVTWvol06ePPWXbS0rKCA+/hNjY3hw9mkNx8X5uuGFYa9uEEBcHKWoqxEXu\nmWf+zvbtNURH96O6upTdu98lI2MacXG90VqTk/M58+ZNOmHl3oEDB/jDH17GZsvAag2kuno/1103\nsDWh6YjCwkJ++9vn6dHjMtauXcLevTnY7Rk0NtYQElLB9743mx49UsjP/4RHHrmTxMREwJc0nW41\n4jfV19fz6KNPUVRkwWSy4fUW8bOf3cSgQYM63O7y8nJKSkpwOBytbTqVLVu+5N//foeGhiaGDOlL\nXFw01dV19OmTyqWXjj5lGYt//3sRn3xSQErKCJqbnRQVreNXv7qZjIyMDrdXCOF/UtRUCHGSpqYm\nduzIJjl5CkoZsNkcVFT0o7Z2K/n55Xi9TQwcGMGwYcNOeN/WrdvZtasSk6kArT2Ehys2b959RslW\nYmIiP/nJdTz77GuUlR2jT58h2GxuDh2qwWYzExYWi1IGDAYTzc3Nre8LCgo6oYZVe+zYsYO8PA9N\nTQ1UVBRgNhtYsOAdBg0ahNaaPXv2kJOTT01NJfv3F+JyuRk3bgTXXHNV67DjVyIiItq9b+OIEcMZ\nPtwXw46s2rzhhulUVy9g27YPMBjg5puvlu1/hLgISbIlxEXMZDJhNCqam51YLL6NsO12G/feeyNK\nKSwWC/369TupNMHmzdtoanITH5+M1pqioi307RvQ7vvW19dTWlpKcHAwkZGRXHrpaCIiwvnjH+fT\ns6dv/0abbRO5uWuoq6ugoaGSmBgz8fHxNDc3o7Vuc0L56TidTg4c2E1zczJ2e08qKor5/PNNuFwu\nPvlkNW+8sRqXy8GXX24iPj6SkSOv4a23NmIwGE654rKoqIhVq9bidLoYM2Y4AwYMoLy8nKysLEwm\nEwMGDMBut5/RdkY2m4177/0xTU1NmEymE74PNTU1LFnyHnl5xaSmJjBz5rVSJFWIC5QkW0JcxEwm\nE7NmXcOCBaswGmNxuysZMSKBwYMHn9STczybLZjo6GNUVm5BKQtGYxFDhlzbrnvm5uby5JOv0Nho\nweut5/vf/w7XXHMVKSkp9OzpoLBwJw5HDKGhNURENLN58xv07BnHHXc8xLJly1m+/HO01owZM4i0\ntEQaGpro27f3KTeHPl5sbCy1tVU4HJejlBUIIigohsLCQpYsWUFS0iRycwsJChpFTc0hXK5GoqMH\n8cUX29pMtg4fPswjjzyP1qmYTBbWr1/ATTdNZOnSNTQ0hOL1NpOQ8DEPPXR/h3vhjhcQcGIi63a7\nefrpl8jLMxMe3pt16/IpLn6ZBx/86bd+39pj8+YtLFq0jMZGJ+PGDWfmzOkdnosnhOgYSbaEuMhN\nmnQlCQlx5OcXEBYWyrBhw077D/aAAX0pKFAEBkbhcjVRX29gxIhh3/oe8M2/fP75+RiNA0hMjKW5\n2clbb33KgAHpJCYm8v/+3zzeffcDCgqOUFR0mIyMaURGJpGdvZ1bb70HpaIZOXIGJpOZ5577J5GR\ngSQnD8HjWcO8eTMZOXLEt94/ISGBAQN6UlnZgNtdx4ABcZjNTgC8Xl81fLPZBHhQyoLH48bprCcs\nrO1eu02bvqS5OZ6kpL4AVFRYeO65f5OQMIGUlF4A5OZu4fPPv+Dqq9tfi6yiooLa2lqioqKw2+0n\nvV5aWkpeXjWJiVeilCIwMIycnFWUlZW1lrQ4E9nZ2bzwwhJ69BhNRISd5cs3Y7UuZ8aMaWd8TSHE\n6UmyJUQ3kJ6eTkpKCu+88z7Ll68lPj6KG26YdsoNsa+77nuUly9g69YDKKW56abxDB48GACv18vO\nnTs5erSUmJhoBg0a1DqE5nK5KC+vayllAGazFYMhhIqKChITEwkODmbOnNkUFRVx6FAFSUmXkJub\nx6FDbo4erSUoKBavdzu9eiXjdMZiNBpJSrqE+voEFi1a1mayVVdXR1lZGSEhIYSFhXH99Vfy4Yd7\nCAiIw+ksYeTINFJTUxk2rB9btmwhLCwVg6GQpqZ8qquTCAio4Pvf/1G7Y9nU5MJu/3rjaYsliNra\n+na//+OPP2XRoo9Qyo7d7uaBB24nNTX1hHPMZjNau9Hai1JGtPaitftbK9G3R1ZWNkZjAoGBvu97\nTMwlbNmyV5ItIfxMki0hugGtNS+9NJ/t22uIjOzF5s1HyM19gd///hdt7sFns9m45547aGhowGQy\ntZ6jtWbRordZsWIvRmMkbvc6Jk/OZvbsma1zwOLiwiktzaVHj1SamuqAKnr06NF6bY/HQ3Z2NiUl\nRQQFlZOZeYigoDjq6uzYbFaqqzUVFRV4PLUEBiYAvuKhtbXOk9qZlZXF00//C5fLgtYN3HrrVGbP\nnknPnsnk5RURG5vBZZdditfrZcqU72AyfUpeXjY33dSfPn2uwW4PpH//dOLj49uM26hRw/noo/Uc\nPmzBZLJQX7+f6dMnsmnTXqzWkbjdTpzOfAYMGN+u70NxcTGvv76CuLgJWCw2KisP89xzr/Hkk384\nYc5XZGQkY8dm8Nln6wgIiKapqYTvfGdgm0VdO8LhCMLtrm193tBQRXKyzAMTwt8k2RLiAqK1pqGh\nAbPZ3KEJ5LW1tezalUtKyjUopQgOjqCgYDVFRUX07Nmzzff4hq8CTzhWXl7OqlXbSE6ehNFowuNx\ns3LlSr773SsJDw9HKcU998zl6adfoaAgG6PRze23X0dsrK+ny+v18vLL81m/Po/aWg8ffPAazc02\nHI5iBg0aSVVVOYWFO2lsjCIoKJ+IiGHU11dRUrKLyZOHn9AWt9vN88//G5ttCNHRUTidDcyf/z7p\n6f0YNWoUo0aNAqCyspKnnnqJoqI6tHZx1VUjWpPDb4vz1q3b2LRpB717x7J//26ys0tIS0tgzJjR\nxMUV8tlnX2A2m7nzzmmkp6e36/tQXl6OwRCKxeIrZREWFkd+/lacTucJ87aUUvzwhzfRv/8WioqO\nkJg4lBEjRpzRJPzjjRw5ktWrN3Ho0DqUsmCzVTFr1p1ndU0hxOlJsiXEBaK+vp433/g7x0r24PEa\nuWzs9xk/YVK7/gE2mUxo7cXjacZksqC1xuvt+LCUy+VCKTNGo+99RqMJpcy4XK7Wc+Li4njssYeo\nqqoiMDDwhBpZBw8eZOPGXNLSJpKWBnl5O9m16x1iY8NJTu5PeHg5CQle7r13LiEhISxdupLKykyu\nu24QU6dOPike9fVukpKiALBa7SgVTEVFBVFRUa3nLVz4Nnv2ODGZErBaTSxbtp309N6tw6Jt+eKL\n9bz00vs4HP3Izs4mP7+Qq666EaMRnn32TX73uzuZMaN9CwaO5+vhq6KpqY6AgCDKygqIjg5rs3fR\naDSeUPusMwQEBPCrX93H3r17cblc9OrVi8jIyE69hxDiZJJsCXGBeP+9N0mI2sNts5JoaGhm/qKF\nxMQmtqtXxW63873vXc67764jICCOpqYyRoxIPG2xzm+KiooiPj6QoqI9REQkU1aWR2Ki46R/sE0m\n00nHfHsUNmI0BqKUr8hnSspgoICZMyexe3c2ffs6uO66/yEmJgaAX/6y7ynbEhQURGhoABUVxYSH\nx9PQUI1SvknnBQUF5OXlERgYyKefricrK4KmpjpqaqowmY4xevS6b022li9fQ48ewwkOjmDXrg0Y\njRlUVzeSlpZKTU0C27fvZO3aDWzbto/wcAdz5lxPWlraKa9XX1/P9u3bcTpdTJt2Oe+/vxav10xo\nqJl77vnRWfdYdYTVamXo0KHn7H5CCEm2hLhgFBdl8t3Z0S3DexYuSTdSXFTQ7iGsGTOmkZycQG5u\nIdHRA761svmpmM1mHnjgTt544z/k5m5j2LAEbrppzrf2kO3cuZN//eu/1NbWM2BATwyGcioqinE4\noigu3s2QIX2YOnUyU6d2qCkYjUbuv/82nnrqFQoLMzGZ3EybNpYHH/wDa9bsITS0NykpEWz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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "X = digits.data\n", "pca = PCA(n_components=5)\n", "pca.fit(X)\n", "Z = pca.transform(X)\n", "x = Z[:,0]\n", "y = Z[:,1]\n", "colors = digits.target\n", "#area = np.pi * (15 * np.random.rand(N))**2\n", "\n", "plt.scatter(x, y, c=colors, alpha=0.5)\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# A vous de jouer !" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "On étudie 84 peintures de Rembrant et Van Gogh grâce à l'ACP. Pour cela on représente chaque image par son histogramme de couleurs. Dans le cas présent, cela consiste à partitioner l’espace des couleurs (ici, $[0,255]^3$)\n", "en k parties égales et, pour chaque image I, calculer la proportion $p_{Ij}$ des pixels se trouvant dans la partie j, pour $j = 1, . . . , k$. Après avoir effectué cette étape, on associe à chaque image I le vecteur numérique de taille k contenant les proportions ($p_{I1},\\ldots, p_{Ik}$).\n", "\n", "##Echauffement\n", "Les fichiers painting8.txt et painting64.txt contiennent l'histogramme des couleurs de chaque pour $k=8$ et $k=64$. Les 40 premières lignes correspondent aux tableaux de Rembrant et les 44 dernières à ceux de Van Gogh et les peintures se trouvent ici .\n", "\n", "Faites une analyse en composantes principales pour séparer les peintures de Rembrant et Van Gogh." ] }, { "cell_type": "code", "execution_count": 15, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "(84, 63)\n" ] } ], "source": [ "#PCA for painting dataset\n", "paint_data = np.genfromtxt(\"painting64.txt\", delimiter=',')\n", "print(paint_data.shape)" ] }, { "cell_type": "code", "execution_count": 16, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[ 0.68327068 0.09517368 0.04907564]\n" ] }, { "data": { "text/plain": [ "" ] }, "execution_count": 16, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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WExb+8Y9Ya3XKlGiCEGnFhAmxyPvNN9eX2pgyBYYNqz9myy0bvqasLO6hqqvr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\nUFYn3Pm72WbRbnb+fOjfPzflKYpRr16NyyYWYxnFXP2KDRgQ1YdGj44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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# PCA analyses\n", "pca = PCA(n_components=3)\n", "pca.fit(paint_data)\n", "new_paint_data = pca.transform(paint_data)\n", "x, y, z = new_paint_data[:,[0, 1, 2]].transpose()\n", "print(pca.explained_variance_ratio_)\n", "\n", "# plot\n", "colors = 40*[\"blue\"] + 44*[\"red\"]\n", "plt.subplot(211)\n", "plt.scatter(x, y, color=colors)\n", "plt.xlabel(\"First component\")\n", "plt.ylabel(\"Second component\")\n", "plt.subplot(212)\n", "plt.scatter(x, z, color=colors)\n", "plt.xlabel(\"First component\")\n", "plt.ylabel(\"Third component\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Visualisation avec panda." ] }, { "cell_type": "code", "execution_count": 20, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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hv/dbWxv44IMrKCysY/jwMtrbmxgypAtNc/e7jiNHDmHlyhtwu92HnONwzn+k11iIPZY0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Ht3I+npXgoKegKa8vJjqa+/G7e7BNjD5MlnddpPsM9Sbq4LrXWn53r39jJv3u0xlfaxKq8XXnjB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\nadnJaacdz4YNb9Da+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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import pandas as pd\n", "from pandas.tools.plotting import scatter_matrix\n", "\n", "df = pd.DataFrame({\"Comp1\": x, \"Comp2\": y, \"Comp3\": z})\n", "pltmat = scatter_matrix(df, alpha=.6, figsize=(10, 10), diagonal='kde', marker=\"o\")" ] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.5.1" } }, "nbformat": 4, "nbformat_minor": 0 }