{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Mushroom foraging with Hypertools" ] }, { "cell_type": "markdown", "metadata": { "collapsed": true }, "source": [ "### This dataset contains descriptive features of various mushroom species, as well as labels indicating whether tor not they are poisonous. It was downloaded from https://www.kaggle.com/uciml/mushroom-classification" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Import the libraries we need" ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "collapsed": true }, "outputs": [], "source": [ "import pandas as pd\n", "import hypertools as hyp\n", "%matplotlib inline" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Read in the data with pandas" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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classcap-shapecap-surfacecap-colorbruisesodorgill-attachmentgill-spacinggill-sizegill-color...stalk-surface-below-ringstalk-color-above-ringstalk-color-below-ringveil-typeveil-colorring-numberring-typespore-print-colorpopulationhabitat
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5 rows × 23 columns

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" ], "text/plain": [ " class cap-shape cap-surface cap-color bruises odor gill-attachment \\\n", "0 p x s n t p f \n", "1 e x s y t a f \n", "2 e b s w t l f \n", "3 p x y w t p f \n", "4 e x s g f n f \n", "\n", " gill-spacing gill-size gill-color ... stalk-surface-below-ring \\\n", "0 c n k ... s \n", "1 c b k ... s \n", "2 c b n ... s \n", "3 c n n ... s \n", "4 w b k ... s \n", "\n", " stalk-color-above-ring stalk-color-below-ring veil-type veil-color \\\n", "0 w w p w \n", "1 w w p w \n", "2 w w p w \n", "3 w w p w \n", "4 w w p w \n", "\n", " ring-number ring-type spore-print-color population habitat \n", "0 o p k s u \n", "1 o p n n g \n", "2 o p n n m \n", "3 o p k s u \n", "4 o e n a g \n", "\n", "[5 rows x 23 columns]" ] }, "execution_count": 2, "metadata": {}, "output_type": "execute_result" } ], "source": [ "data = pd.read_csv('data/mushrooms.csv')\n", "data.head()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### pop off column indicating poisonous/non-poisonous" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "collapsed": true }, "outputs": [], "source": [ "class_labels = data.pop('class')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Now let's plot the high-dimensional data in a low dimensional space by converting it to a numpy array and passing it to hyperplot." ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "image/png": 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EOryP/xRcTS0xTeRAvkRQytxMvPMQGLcHos8LYDgNlkuTQn1qTkKkNdnFJiP0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\nFBERSRIDioiIJOn/ASMyx/V8108vAAAAAElFTkSuQmCC\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "geo = hyp.plot(data, '.') # if the number of features is greater than 3, the default is to plot in 3d" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### From the plots above, it's clear that there are multiple clusters in this data. In addition to descriptive features, this dataset also contains whether or not the mushroom is poisonous. Do these clusters have bearing on whether or not the mushroom is poisonous? Let's try to understand this by coloring the points based on whether the mushroom is poisonous:" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "image/png": 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UATw+4EnZ538HfRAkKUWgJI5DvLcb2roG1fYNAPHebvD9iUm+fH8f4r3dqM5V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\nLhw6dAiHDh3CmTNn0NDQgMHBQRgMBhQVFeGzzz5Dd3c3nE4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Mor8OZFQymWzEsdTDcRyH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\nhBBBogBFCCFEkP4Xny+6H98ifeMAAAAASUVORK5CYII=\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "geo = hyp.plot(data, '.', group=class_labels, legend=list(set(class_labels)))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### From the plot above it is clear that the clustering of the mushrooms carries information about whether or not they are poisonous (red refers to non-poisonous and blue is poisonous). It also looks like there are a number of distinct clusters that are poisonous/non-poisonous.\n", "\n", "### Let's use the 'cluster' feature of hypertools to discover these clusters using a k-means fitting procedure:" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "image/png": 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ZYEZkWa77CGpjsFpQtrT/DtU/Y5kb+z6HKmtoapAt7e9ge+//R1BzZqZdFbgG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\nAZHWO01mE6jCYJrisNNu2xzNYrfpRFZ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EgbDVWXuTBdu4OIE/6tIwRxWnAEO1Ud47M0RO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\nYVMMvW4vNy5bj89lCKYeU1NTcTgc5OTkxJyVP17w+XwixRcvSJLE2Nj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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "geo = hyp.plot(data, '.', n_clusters=23)\n", "\n", "# you can also recover the cluster labels using the cluster tool\n", "cluster_labels = hyp.cluster(data, n_clusters=23) \n", "\n", "# hyp.plot(data, 'o', point_colors=cluster_labels, ndims=2)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Sidenote: we can change the color palette using the palette argument. Hypertools supports matplotlib and seaborn color palettes." ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "image/png": 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xEdQd8xtLfv7TZW0lX2IZ+PQ1S7GZFGptFv5kaRsfWreI9lonABtaPSgjg0qy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\nwzP7LOr3d8aebySCUkwGkr7/A1766ytU792KbbAPpz0Fh0mHr6OTAZu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PAAAB\nb0lEQVQkQqAEAoFAMCMRAiUQCASCGYkQKIFAIBDMSIRACQQCgWBGIgRKIBAIBDMSIVACgUAgmJEI\ngRIIBALBjEQIlEAgEAhmJEKgBAKBQDAjEQIlEAgEghmJECiBQCAQzEiEQAkEAoFgRiIESiAQCAQz\nEiFQAoFAIJiRCIESCAQCwYxECJRAIBAIZiRCoAQCgUAwIxECJRAIBIIZiRAogUAgEMxIhEAJBAKB\nYEYiBEogEAgEMxIhUAKBQCCYkQiBEggEAsGMRAiUQCAQCGYkQqAEAoFAMCMRAiUQCASCGYkQKIFA\nIBDMSIRACQQCgWBGIgRKIBAIBDMSIVACgUAgmJEIgRIIBALBjEQIlEAgEAhmJEKgBAKBQDAjEQIl\nEAgEghmJECiBQCAQzEiEQAkEAoFgRiIESiAQCAQzEiFQAoFAIJiRCIESCAQCwYxECJRAIBAIZiRC\noAQCgUAwIxECJRAIBIIZiRAogUAgEMxI/j+kOS2moFWg5gAAAABJRU5ErkJggg==\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "geo = hyp.plot(data, '.', group=cluster_labels, palette=\"deep\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Hypertools uses PCA to reduce the dimensionality by default, but there are other ways to do dimensionality reduction. Let's try reducing with various techniques, but keeping the cluster labels the same." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## ICA" ] }, { "cell_type": "code", "execution_count": 15, "metadata": { "scrolled": false }, "outputs": [ { "data": { "image/png": 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QrLGoiNKr/xdJMuL9x3MYHQ7IyRk8T4EdcnKTP0my9GEScRpXVJXeNe9M+3Rf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\nTvOCfniPpaUAAAAASUVORK5CYII=\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "geo_ica = hyp.plot(data, '.', group=class_labels, legend=list(set(class_labels)), reduce='FastICA', ndims=3)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## t-SNE" ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [ { "data": { "image/png": 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kZwIG285DJFCDLxTh4roFKYqCNFPv8z40fG7EYK4bLPT3ir3NRzJ8Fy3vt7Th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\nEZEoMaCIiEiU/g9yBIWuOpHmLwAAAABJRU5ErkJggg==\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "geo_tsne = hyp.plot(data, '.', group=class_labels, legend=list(set(class_labels)), reduce='TSNE', ndims=3)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Now THAT is some interesting structure...Let's compare all three plots to one another to contrast their effects to see what " ] }, { "cell_type": "code", "execution_count": 19, "metadata": {}, "outputs": [ { "data": { "image/png": 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YnFJ0P/K/OFeeQskRJ6INDWRZVqrNiX3eCvq3PDaNo8rUnfEDZFnCXNqwX5bS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\nEhISSE5OJjU1lYyMDLKzswOtsWbPno3J9HnLMT4bkSRQEW+SSEhI4Ne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fkljy3pFk3i2EC7MKYBUO1ZJ5TAda15dXg8NSryta1gIlXHylRbEUX9pG3qN6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\nrycmJobEFAsl89LJcibTc8hErfE5svJLSLnIQIllDiQZiEuycvGUG2A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Q4Yherx9RS5yYmJgxnbAnNeWUBE9qzukpeFLX6rq6Ork1i+fsdM+Z6Z6CFxsbS3x8vKL7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\nAAAAAElFTkSuQmCC\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/plain": [ "" ] }, "execution_count": 19, "metadata": {}, "output_type": "execute_result" } ], "source": [ "geo = hyp.plot(data, '.', group=cluster_labels, reduce='PCA', title='PCA')\n", "geo_ica.plot(group=cluster_labels, legend=None, title='ICA')\n", "geo_tsne.plot(group=cluster_labels, legend=None, title='TSNE')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### PCA projection with different k values" ] }, { "cell_type": "code", "execution_count": 23, "metadata": {}, "outputs": [ { "data": { "image/png": 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YAL7DCDCMv3khTcO85kXYNryJP50wFWVwo3nZfbJVRRgcqQiSCPw9RMO64XUU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\ndEIQBNx78gm4afr3wvZd027B1xkcdCUlcUP5XU2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ymltR+MBc+FSA9fVXIbQ75JJLQrsDJRl+QfK2tsDT3Ah23ISEzpOApLiPNjk/\njLrNx12f4pS0k3GmbsZxH09J8DyvCBefYldClWpBtb/7z+QO6PPBuW0LAIBKzxz8esCduM/lGvy6\nwKN980bwTidchw+he/9euA4fgshxAABNcSnUpkJ5c/PfXoX1b33iFAZarwdjyEvwhAjJCjOfrYut\nXcpfbH/HfbUP4gvnruM+plJQyhqUYgWKZVlFLqjnXnN90sd0bt4Ix7at6P70o8EvxhBV17F5I+oe\n+A1aViyF+dkn0bJiKRoXPCSvJeXd8uv+4dodEBzhxQkABIcDzU8slkWOED/JWIMqZ8uwomQJ8unI\nNwvd6IFFsOJ522oiUjHi9XoV4eJTrEAp1YLSzTgTumuT3DLD7Y6pfJJMekbUTbwWM7jaGgAAWzke\ntME4eKMIF1GvuRWe5sbY50SQSWY183K2DNfnXhPz9i/YXiYiFQM8zxOBGsso1YICAOPsy5FzxdXD\ndjymvCL4id4Qrr4QuOtrwTud4GprYPjljWD0Bv8LVN/FM4J1pjYV+usFpggix4GrOQqR44L+Hvha\nqpDMKL7nbatj3t4HH7GkYkApLr6xf4ZhULJAAUDuzJ+gY8N7Q34c3bU3wP39d+Dr6+Led2CxWjov\nH4brboL9rbX+JwIEis7VY2H1XpSWl2HewoVgK8elTBRfYCQiU2CCyue3ENWmQhQ/tBDNK5agp8WG\ndv3JOG3hfcjQRbcwhxKfz5e0i18sgRKh+Gf7uyRwIgI8z0Oj0Yz0NIYcRVtQSq46wOh00N9y+5Af\nx/nOuuOrWBGAYLWg/f9tCvma4YabcdjVi16fL6XECQC42mNyJCLfZobXYgbgd0OaN/4HR5vS8Jr7\nbrzaeg0efagZTufIJ5AnqxZfrIESA5mVfUFSjj9WIS6+MY5Go1G0BQX46/INqUgNQbkcMTB6LzNL\n/tP29zV4ZuIJuCedRuPiR0K60kYCkeNg/dtfAAAenwbNvlJ4fBr58bObKvCG99dwwB9I4HCqsGRe\nAzhuZL+byXLxSYES09ipce23zvkO6rkI1fEVjlIESrEuvvT0dMULFADQdHJFxHD73UB3F+BTAdlZ\nsL8W+/pDXFA00NMtPxS7OlHIpgHw50H1fncYtrfW+hN8A8ohDTee5kZ/wIZPg794fgO7Lx8GlQW/\n1rwMqy8fdl/+oH0cdhG1xzhMnDwyrr5kuvgAv0hlMVnRNxzAmra1WFw+L2nzGEsQF98YJz09XdEu\nPolk92g7DmppAAAgAElEQVSiVBTcjQ1DK05paYAYOQKzbc3L/Qm+feWQRsKS0hSXQl1YFCRGdl8+\nrJpS5KksMKgsAACddsDN0gh3u0h2u41Z2gvi3ueI9ygJlgiDIAhEoMYySl+DkmB0OmhD1NRLBNpg\nhPXVF9G9Y/vQiRMAuN0hnw78PMXOjv6eVDQD65pX0LDwoaAk4GTAO53o2P4xeKcz5OsUy6J04XJM\nvGW2LEYGlQV5nkaAovEz5t+4OX89FiwpgqnQ77IxFapROW5k19CSWc2cEzm8bF2T0L4k7Dw0giAQ\nF99YhlhQ/eRffR0oNh3Od9Yd30CZWYDdlpxJhUKlihhaPuiu3yeCysqC2O13BfJtZrSsWJo0lx/v\ndKJuzr2AwMNK0Si4+/9AZ2WBrRwfNDbFsjCefSZu3bwE37XqMJ46AgB4rfdOOJCHAhWNs3QZWPR4\nBpobPSgu1YBlR+7eMdkuvkZPM1q8rYnNpS/sHACJ6guA53mkpaWN9DSGHMVaUBkZGUSgAjDOvhxg\nju+OTGioS85kQqCd+ROULH4CTF/CLpOXD1W2Nup+fnEKFq5kuPxEjoNz62a5qjpEAW0vPoeWFY+h\nYeFDg8b2QIN/8HdiI/9zvCHehXqhXA6MaGsTUHuMA8tSGDeBHVFxkkimi69UU4widWH0DSPwJ9uf\n8U33oSTNaPQjiiJx8Y1llHD3ES/s1NNGegph6dy2BeYXnob2gougu+JqCFwvfF2d4XdQBX61B9yI\nqFSwrnlFjvaLFSkqkHc60bDwITg3/ivkdnybeVAVi+ZGD1pb/WJm4/XgZ908YE4xT2NYSKYFxVIs\nlpcuxNW6KxIeQ4SIZeaniEj1oZQ1KMW6+DIyRjYZMhUx3XQb6r7aPdLTCAtvs8Lx3luDX+hrvcGL\nPjBU35XeFyFCs89yjrXquchx4GprYHn9VfBtZjB6A3iHPez2lN4wqIpFcakGhUVqtLZ4kV/A4KNd\nIgD/HPNNI7/mFEiyO+p+2v45/m5fhx7EVkEkEm+3r8cpWZOSMKvRjSAIirjJJgJFkGF0OlQ89zI6\nP9sG5+aNEHt65M61qYoqW4viB+fBXVeDhxYuxpzy2F1J6sKisOWQAlvLN69Y0t8oEYgoTkhjUTJ3\n/qD1LZalsHB5KWqPcXh1tQXO9n4BvfX2vJRw6wWSDIGq5xrwmvlvOMrXJGFGfv4n+ydJG2s0I4oi\nEaixjGQeezweRZjKscLodMg4eXK/pZLC4gT410rML6wEb7PgBpMRbbyAAiZKoVOahum+Ocg46eSQ\ngRK804mmpY+Ct9tAG4wQBgR+MMZ8iAIfnDQs4eZQ99RKqG59FKXjsoOEh2UpaNIoOOz976nBSKNy\nfOpYTxLHWyw2lmaFifC8bTUmZp2k+C68SnHxpdZt2wjgCtWjSOFIuTsAgvo5pSJiZwd4mz98uzBN\njU1dPaC0OSG3ZfILYLzpVlSsfBFZU6eFFCeR49DYJ04AINhtoKXx+i7afLsdYrsDqrTB+3t8Grzc\n9HMsW2rFwocGV4SQXH0AYDAymP9YacpZT8DxW1CJ1uCLhbft66NvNMYRRRFsCpXzGioUa0FJuFwu\n6CK0HFciUu5O+5b/oj3Umk+sZGX7q0oMI7/QZvlzoAKgDUbk/s9lyDp9BiiWhae5ERTLhhQorvbY\nIItJ6OwApdVC7OwLyuhr0+JzDw6waBGL+qPzzPygihCSqy/WcHLe6UTPgb3InDIN3VnA3p4DmJY5\nZcgtiOMVqNm6S7C9e0f0DROAdOElAqUY3GGSPpUOxbL+NajjGYNhMNzFpLICSzdRFCCKENodsK39\nK9o3bgAYBoLVEjIXKrBu3kDEzk7QOToIHaETcgG/9WQWB6yBhTBApXDyaATmWf2QTePp+9IgqEQw\nVhrLShaixl03ZGJ1vFF8Ug2+la1/gkWwJmlW/Si92jkJM1cAKpWKuPgikDNz1nHtLzrbQUk9nIYZ\nevyJgFRrse9/od0Bwep3B3pbW8DVHgvaR6qbF45o4vSq+x5sFWbLz+XpxYSj8wbmWR05wQdB5T8P\nHgLmNi3AK9Y1uLduDpx8+HklQrKi+OJtVhgPQzXuaMHn8ynCglK8QPX29o70NFIWTYEJZSueg7qi\nMvFBeH5IqppHQzj2fdRtrH/7S1AeVPDaW3xzbhGL0Y7grr+/uiM/ofUlqX9UYJ7VSUdF0HxfPldA\nWhcPAXt7DsR9jGgkI1E33maF8WDQ6Idk3NGCUlx8ihcoLoW6mKYimgIT8v731oT3Fzs7+i2ZFGNg\nW3iKZVE8d4E/KCJSHlVIgpOBtVQHygsTq1TiaW4MCmsHwyDbBfzhBTdO3ccHuQ0pUJiWOSWh40Qi\nGYm6Qxko8X77B0M29mjA5/MpIsxc8QJFLKjoeIawhFEyibd0FW0wDsqD4u1WCAOCLGKhiGqBHv61\nFi3acRvzEmxPPgrX4YNxl1TSFJeCNgRYY7zfzZftAi75mJctKcqnwuMli8DyWtQc5ZLaQyoZLr5E\nmxXGwgTNuCEbezTg8/mQnp4+0tMYchQtUBRFEYGKAcZojL5RJGgaObMTL3MTK0dsjphFitEbUDr/\nsUGRfIFuPlqbA8oQ4dwDcoU0Kg9uT1uNWzUv4zdpf0IW1QPeYUfLisfiLqlEsSxK5z8GOjd30GuS\nJfXT99T4+btXQN2QiYUPNWDp/KaQYe2JkgwLSgqUyKfzkjCjYN7pWK/oKudEoBQARVHweDwjPY2U\nJ+Okk0Hn9TXW0+uRMTXOHlKCgI5NG5I/sQH8KM8Amzd8YjGTXwDT7/6IornzUbZ8JZgQ6QWym89g\nhNDZAZpm4MnIRbNYInfClRECelLRNDQqD4qpJmhUwd8pqaRSPDA6HbJmnB3ytR4xE5/um4ON+ydj\n3gIb2sz+c24z8zjyrSsp1lQyO+reW3BnUsYayD/b3x2ScUcDSnHxKTrMnKxBxQbFsihf+iS6v9kH\ny4vPweUIUUEhDmi9Hj4VBXEIWnPkaUJXZM88dyYK/veWmFps8HarnAvV0+YY1Al3oABBpYq4zhbK\nlRgLOTNnoWPzxqDnujKAl8+ZBObf/p+uD8EVH/7ysgWdnSIKi9RYuDzxJOBkCdTx9IKKhpIj+Xw+\nnyLKtSnegiICFRsUy8JTX5fYzn2uMKbAhKK581G+/BmYbr87eZOLgZ7PtuGH+++CbdO/o24b6Oaz\nqkzBnXBDtGiHzxe2TxVjMIZ0JcaCFEXJTuoPgjh0Agshpxs+SrIU+aAgyc5Ov1C2tnjR3Ji4dyBZ\n1cyPpxdUNCZmnTQk444WiAU1xiECFR/acy8IbjGhomKLdhME6C69ErpZP5XdamzlOKgLi/zRahQd\ntYV7UnC75aaMxtmXh91MqqTRtXsnPH95HQaVBXZfPgoMAqb+9i6wWRpY//l3uA+HaP1A0zBcez0y\nTzsDYncXNMWlx9UYUVNgQvovfoPq+WtQ5juGPXt/hbQ9Roh6B4Tpe6D/4mKEiukwGGkUlyaeyDnQ\nguI4MaFmilIvqEREKh0sehH+9/l5VzUuzf1p3OOOFZRgQal8Cu7al5ubi0cffRRz5swZ6amMGjxt\nZnR+9gkypk5Dy+OLYgsh76voIFVvAPyh1FRWNpqXLUwoau64SEvD+D//LepmUj5ST4sN7fqTcdrC\n+5Chy4DIceg5sB9tLz3bvzFNw3DtDciuOjvk2laiOJ085txbB4EHKJUPoq8/xvyKGzKwYd3gRHOK\nAhY9XoKy8sSEsT+6VYPmRg8MeQxWLGlGa4sXhUVqzF1QDLuVj1msOJHDMa4WT7Y8Cw+St+ZLg8aL\nFSsVVzhWFEXQNA2v15vUvl2pyNg+uygQCyp+NAUmGK/5JTq2fxx7flPfdt7WFnTu2A7n//sP+Daz\nHIgg0ydklFYL4613oePD/8D9XfIb1Okuvzqm7SRLytPcKFtCIsehYeFD4NvMwRsLAqiM9KSKEwAc\n2NvT37TXF5w8+9G/Q1dBEUXguSdbccfdBagcH71Dr9PJ48DeHkyZlgmdzn9J4HkKyxY0orXFC72B\nhsPut3BbW7x49A8N6O6OfZ2LpVikUZq4xYkBAx7hg16EviTlC3POi2vc0Q7fl3Yw1sUJUPgaFE3T\npBZfgmROmebvFRUPFAXb2jXyxV2w2+QW7n43nwjQNMTOTtj/+go8TQ1JnjXATJoS0b03aMosC3bc\nBNlN52luHCxOAEDR/vckyUyZlim/zRQVXJSju3vAFAJec9gFrHisBYsfaRwU0ed08tj+cQecTl62\n0Na8YsWce+vgdPovfq3NPFpbvPJYgXR3x7/OVaophokpiGlbCR48LtfNDvs6PURJyqmOksqzjX0J\njoBkJhPih9HpULFyFXoO7AVtyEP7xg1wHz4YeacBFhdTYILxhlvA26ywre2L9OoL3U7U7efz+WC8\n4x6oc/VoX/82cq/6Bbi6Wjj//R50l18dlziFQlNcCqbA1C9SkvvSmHdca03h0OkYrFxVga92d+OD\n9Y6gRocDCWXQSiIiFacNdBnSjBWXXp4rW2gCD7z1hr9WYWk5iwITI4ewh0KbQ8HjEcFxYkxW1B35\nv8LSlhVRzjiYI71HQq5haSktlpTMU5x7DyACpRiIBTWYwPYOge6qUM8zOh1yzrsQANC98zPE+k6q\nTYUwXH8T7P9cC/OzK0Dn6v2h2klYDlWpVKBEARnjJiDr0aUAgKxJpxy3MElQLIuyxU/AdeQwLH9Z\nLbfg8FrMMbWPTwSdjkFFJRtRnMIxMFgi0GUo8MCG99uDtv/sU3/hWY4T8as78rFiaQvCQdMqrFja\nErOrbxxbGXfARB6Tj4cLbkajpxnZVBb2uw4iX23AxPQfgaXGfi26UCjpmkUESkEfdii4hno4P9wE\n3SWzwWhz5PYOVopCzmVXgUnPQPrJk9G0eJ7/eZpBxcpVg9ZadJfMRveO7aEP0mdl+DvZ/gEZJ00M\nqhwuhOpMmyCCzwfrmlfg/O/GQe00kgXFsmCysvr7QyHxXKdIBK4NFZdqolo0EpLW+xsilgQJh99l\naA3fKLkvKvMfr1twzS+NMBWqYW4d7GXI1lJod/SvSwVaaeFgKRYLiufi0calsAn2qOcBANcYrgBL\nsZjA+ksbmTTxuQnHIi6XKynFfEcDihYohmEUXUmCa6hH04K5AIDuHduRe8XV/S3eRREdG97r21IF\nuRiqwKN11Urk3Xw72LLyIMuqZMkKOD/cBO0Fs2Bd87I/hJxmAIEHpc1BybzF0BSYAPTXmxvYHDAS\ntF4PIUKSsM/nA933w5WqNwyFRQP050p5W1vAGIwoSTDXaSBOJ48vdnSB6xGxcUM7BAGgKCsWPV6C\n62/Jw3MrolsfPh+gN9CY/1iJHPQgIbkMV61sxbGjoW7O/AL1ZbULe/c0YPnTZTh4wIW1a/o/pxwd\njQ5n/7qUwcjEHNJu5e0xi5ORMkDHhO6OrGR6e3sVI1CKD5JQskA5P9wU9Lj9Px+EafEe7HpzHzuK\npgVz4di2FXVz7oV1zSuom3MvGG0OTHfcg4wJJ6J04XLk3XanLHhiZwfEgO66Ur05JpZ+UTQN0+/+\niNIFy6E2BTQETEsDldNvyQX+aIfCoglEivArmb8UZcueTkr0ntPJY85v6/DWWjs2vN8uV1ISRWDB\n3Cbs3tEZeYAAHHYBrc2hv9s6HYObbw9dH08MyEcTeODIt704+zxtQJt6Go8sKoap0P9YEsJYc6Ok\nvCgAyKfzkKPSht3WJtrxretITOMqCbfbTQRKCSjdgtJdMiBCyuuJax3I8bfXELig0bpqJbiGegD+\nC3j29LPkigzqwqJBgsHodMi/I0RFib6wNSa/AMabbkXFyheRNdW/9lW66HEUzZ2PormPouiBP0IM\naCLI9839eKo3xMPACD8JjhPleniBf0fjwN6eoPJ+A9n5eXwdjl9ZZZaj8gZSVs5iyYoSTK8amOzZ\n//lTlN8lyLIU5i4oxm135mH+Y6XI0TFyUV6aBlqbPTHX/mMpFstLF2JpyXzcVXAbOnyRRXel+YWk\nN2Qc7XAcpxiBUryLT8lRfGxZOUqWrEDTsgVAEtbiJMuqZMkKsGXlIfOIBs2hcrzsKlObCpF3y6+h\nKSwBb7eG3IdiWWRMnATAn0gb6GZ7vLYFHa3NeHvb60MuTuHgOBGLH/HnDxWYGKhUKphbY0twnTIt\nEzRtjShS8dDeLmLJvCYsX1kW8nhl5SwmT8nE7ur+qDAxoDLIw4uKoNMx4DgxIFHXiV/eZJDXwqwW\nASuWtsBUqMaix2Or/SetKXEiJwdN0KAgYLDIKTXXKRK9vb1Jq5WY6ijjLMOgdIEC/CJlvO03SR0z\n0HUYzsoIfF1ylZUuehwZEyeD0eki7hNq37JlT8OpUuH7nt4hE6fA/KFQjwGgudEj5w+1mXk5wEBK\ncF06vylkbhLQtz70YgUqKkMXvE0Eh53HkcOuQfOU8Iti/2Ofr3+bV1+yyiWOpHNqbfHilRctg8Yx\nt3pRW9Of9B7qvRmIZE3dmXdbSHECAAa0InOdIkFcfApByS4+kePA1RyFyHHQzTgTmRfMStrYaqMR\nvDN2t0w0EYt136H80Q5MaG2o5+THv7unDv/d1A6n028dyes1BlVQ5/hYElx1Oga3/Sa2SDWVCvjV\nHZHX8Iz5DF542hw074HCIQZ4dQMrn1nMXqxdY4FaA/mcAKCnO7SYHDvK4aMPnUHvTWDybyhYisVZ\n2dPldSm6rzp7HmPErcabsEqBpYyiwXGcYiwoRbv41Gq1oiwoKeIu/aST0frsCnjNrVCbClG66HHk\nXXkNemIsX6TKL4DP0jbo+bRJp8B9+BDaN7yP9o3/DhmOPpSoVKq4u+rGysD8oQ/WO+THPhF4a60d\n766zY+WLFVi4vBRHvnXh+ZXmkLV0tTk0PO7wCa5l5Szuvt+I1c9HjnD0+QBBUCG/gIGlje8bm4JK\nJaLDCeTqacy6RIs31zrkeS+Y2wTAn6S7clUFDuztCZpjoAUFADu2d2PH9m4sWVGC3V90Y+O/Qt94\nUBTw3pv+4wSmtAk8UP15FzIyqKBSSoFIllSjpxl5jAFW3o5STbFi85yioSSBUsZZhkFJAsU7naj7\n3T2wrnkFDXMfkHOQvOZWcLU1YHQ6lCx6vL9eDs2gZMkKaC+ZDWQFR1qxhcUhj+E+9E2/wAk8eg7s\nHbLzCQVN00MmUIElhwBgz67B2fyCAHyxowssS6HDKYQt0K5ShS9DJDHjTB2uuHpwR93gcYDJUzKC\nzlml8kGKG2l3COh1iQh1LRN44J11NlSMSws6r3Dv39o1FjQ2hF+nFINELvi1N9+wR7WmpHUpHaPD\nBHYcEacIeDwe4uJTAkoSqK7qz8O2xujZ/zV4pxNsWTkqnnkJebfdiYqVq8CWlSP/+ptguDS4CkNa\nRWX4OnwBAjcUtekioVKpIMZawDZOpPyhK37utwjD6eAPR3vhdPKDBC0QSUBaW7w48q0Lmze2yy7C\nQGb+JHIOkN7AwGHjYbX0K2GHM3hiG95zQhQBJsSy1o7t3Vg8rwkLl5Vg/IS+3kJhTuzoEQ/27+2N\nOJ9oSKIYyeVHiI7b7QZN09E3HAMoXqCkysBjHl/4O66OzRtRN+de8E6nXL4o0DWXXXVOv/BQFHQz\nf4KKlauQd9udMD04L9jqWvS4LHDD6d4DhtbFB/hFymaL/H35stqFOffWAQBWrqrApVeGfw9y9So8\n95QZb75hx1tr7Zjz2zpsDiFU4bDbeOzc0QGjMfrPmA9zHybwQF2NW86LEn2J/x6ytUD5CZEDPHZs\n7466LkWIDHHxKYSxLlAix6Hzy2pY33wDtMkUeWOBh+2ddSGDGxidrt+yeuYlMDqdLGRZk04ZZHUN\nFLjhYjjcHpfMjn5eAu9fs9LpGFx6pV5Oas3V0zDm+80qvYHBxbP1QQaLIABv9gmVVOYoGp9t64HD\nIWLmrOzETgjAd4d70dbqxbwlRTjl1DT4K4fEjyaNxv9cFr3yg/T+EBLD4/EoRqAUHyQxVgVK5DjU\nPfoHiLa+hfbNG6Pu071jO7qrd4a0fgILww4k0mvDyVBbUEB/guvfX7OGKRXUn+AqIc1JrVYF/A1M\nmpweVEVKQhCA6s87UXWOFhRljRq3IopAa7NbLnkYLzs/68bOz7qRl89g0pTE24jbrQJWP2/D3fcb\n8dUuV1B+VSAD3x9CfBAXn0LQaDRjdg3K09zYL07xEMGSSnWSHSQRLpenrJzFvXMKEe4acdf/GeVo\nteZGj5zUamnrXy9qM/N4cmkL4EPIcT7f3oXODh7PvBRbXtR3hz0JiVMgVgsPRhM8iFYLsOnxWVQH\nvuYweUpoAVKp/N1+Q0XzEWLD4/EQgVICGo0GQrLS9lMMTXEpKKMxoX27d2yX16RGE8m0oMI18gtE\nDHOo1c/bsP4d26C8qIHXFCkvKtRXsKnBiwVzm9DZwcecF5UM3v2nHSoVcNNtRtxxjxHd3QDX23+i\nJ4yPLpaXzNYFJQAHeV5VgDaHiNPxQARKIWg0mjHr4qNYFhWPPQ11SVliA4xAmPjxkkyBGpj3VP15\nV5A1NTB/KN8U/FPa8J4Tc35bB44TsXB5KX55oz5sCaNIS2f//LsV+QUa3H1/YjcbEuWVapwxY2Dd\nvcGIogifDzj7PC0EXhVklalUwA/HInscbr/bgLJyf4i4JOCBH4lPHPxeEuKDCJRCSEtLG7MCBfhF\nSjvrkoT3V2WPrlYHyRSowDBxlWpwLs/AMHKLOUQdOQH47JNOsCwFtTr8Ty3SlA8fcmP+Hxsw9TQt\npk6LLjDhqK/1Yu+X0Tux+iAAUOG9N22w27xBOVSxvLXr33GC48RBAh5IqLyoeIrqKh232w2GUYYV\nqmiBUqvVQ5Y3kyrkVJ0NaBMTGsufVsJ19HsA/t5R5ldfkquVpyIURSVNoOS8p6t1wZF2fbk8APry\noiIn0+7Z1YkXn2sBRYf+nqVnRF/fsVp4fLOvB1dfp4/9BEIgiohqRfn6fg9bNndiw/v+HCpTUex3\n63abgLfesKJiXFrUYECBB95ca0Wb2YPFjzRGrFNI6IfneWJBKYG0tLQxuwYlQbEsMk+enNjOooiW\nZQvQ9tY/0LRgLrp3bEfTgrkpK1LJDjPX6RjYrIMtbCmXBwBstsgur/paHl9Wu/C310I3Wux1xSao\nn3zUAW0OgyUrSvDjqgxkh2+jFBFR9Mmh7qHwQRikK+aW/t9IVlb0S8a2rV1Y9HATzrkgeuh79Y4e\nPDynIagYbW0NR6ypCHg8HmJBKQElCBQA5P7P5dE3ikDXfz8Ietz6p5UpKVJDUeooXN6TlMsTS15U\nLKjVkcX10Df+AqzaHAa/faAIV16T2JrUldcYcNe9+WFf9/l8YS2fiZPSMP+xkrDRi4GIIvDDsdgq\nTwSWhKJp4MXnWog1FQGv10sESgkoRaDYsnLorrg6aeMJVktKWlJDUepIynuSSwH1IeXyhHs9HnS5\nFG65Pbr7TuCBbf+vA88+2YI9u7tAxenluewqLcrKWXyyNXyTQJ9PRDiF6uoS4XaLWPliBQyG6JeO\nlsb413cFAZAaL7e2eLF7ZxcRqQEQC0ohKEWgAEA38ydItEJAOAa2jB9phqqSxMC8J4oKzuWRX0/w\nmuFsF/Haajvuvt8YNedpw/vt2L/XhcMH3RAFwJAX+0/4g/Wd+OfaNpx1blbYbXy+8L+H4ND38FZY\nPKRF0HWVCljzipVYUgMgFpRCYFl2zAdJSDA6HUwPPpLUMXmHI6WsqKGuJCGHTWNwLo8UVHHTbUbk\n5Se2gH3gaw4PzA1dKT4cdmt8398PN3XhqWVmzDgrXLBE9PHe+ocN4yZk4MF5JhQWJ75Y/9NLc7Bk\nRVlYYZc+ykj9s5QIz/NQq5PX1DKVUbRAaTQaxQgUAGRNOgXZFyUedj4Q7vDBlHL1JTOKbyCBYdPh\ncnl0OgYXXazD0ifL8dNLgyMnp57GIj1KlHiy1rNiwW4NfcEXY3j/Dh3g8NDv6lBcyuKEcelhtyut\niCxeOh2NNJbyC/utRuTqQ29vMDIoLtVEnZdSIBaUQlCSBSVhuOyqyJmhCZAqQRNDWUBzYN7TW/8I\n3ePI6eSxe2cXzjo3O2iNaP/XXNj+UABwy+16lJWzx1VENTMbuOGWyGHvEseOhlkf8vnzoKLhbBex\n4I+NEd2FTfXhT9ifW+aQoyErTmDR7ujfXnrv9AYa8x8rCdnYUal4vV5iQSkBJQoUo9Oh4tnV/iJr\nSSJVgiYoihqGflB+AQjsGCv1OHI6efz+Hn95pEUPN2HR8pIgS8odvt8f3virI2ofqWj0dAHr/taO\nE8Ynfnft8/liXqns7BTw51UWPDjPhB9XZeD8C4PDyiMZY4Hv34G9PSgu1QRVfdfn+i9NarWKiNMA\niItPIbAsO+TVr1MRRqeD8bqbkj6u/b23kj5mPAx1uw1/P6jBeU9SXtS2LR1yaSBRBN572w43F9v3\nSxCAZQsa0dzIxZQAXFwS/lyztYm7w3wxWlASnR0i1vzZhl//xgSej/+3FFjZXPotqlSAzeZ/I9vM\nPGqPkbyoQIhAKYT09HTFWVAS2tN/DGiS69fn6mplK0rkOHA1RyFyXFKPEYnhaLcRKS+qtTnYRNr/\nVS+2BYR0s1G6mFstAp5aZkZzIxc1Abi5Kfx5Tq/KwLwlRQkl8/ogyvo06ZS0mLzBdhuP7w73wmiM\n33LL1dNgWSqo6rvDLsjHpShg9QttJC8qACJQCkGpFhTgrzBR8ujSpI7p62j3V5w49A0aFz2MpqXz\n0bjo4WETqaEMkpCIlBd16VX6sEmsU05Nx13/F1to9gtPmzH+xMRuHtJY4NWXbFjzshX3/aEo7v0D\n379D3/h7TJ12RvhACADQ62m88HQrNrzvBEUBpaXBb0KkpUG7TcDGfzmQlU3JVd/98/D/L4p+VyJA\n8qIkeJ6HJsk3l6mKogUqPT1dsQIF+BN40yYlWAYpAuZnVsBrbgUAeM2t4Gprkn6MUAxXl9GBeU+q\nvvT4gSoAAByVSURBVLyosnIWK1+sQEaIVkgH9vVi1bP+9ZpoN79uN/C31xw485z4i8O6++4FWlu8\naG3y4sF5JtBx3Gz7xGAXnyAAk6dkRlyy/HFVlhwAIopAY2NwcMRlV0Z2V278lxMPz2nAA38sxKVX\nho9kJHlRfogFpRDS0tIULVAAkDcEa1Fyn4o+evZ/PSy9pYbDgpKQgiZuuzMPz75UIbeY0OkY3HJ7\n6DJEAu/vOnv7PbGVKdr3VYTq4yrAEGWYNa9Y8cZf7Vj5pwpMnBRrpYvg909FAZOnZIBND+++q6nh\noApzJbnuJgNmXpwTNfBDFID179gx/cwskhcVBUEQiAWlBDIyMhQvUGxZOUqWrAjd1jVJdGzeOCwN\nEIdjDSoQnY7BeRfmDOoOO+NMHe6+3xjyLZ0yLVN+PdpNcG+YUnYVlWoseaIEt91lijrH1hYv6mrd\nOPGk2KwxH8SgEIlHFhWhu0uEpS182aJjR9zwiQh5PpMmp0OnY7BwWUnU9azqHT1YPK8JDy0ogjYn\n/PdR6XlRRKAUQnp6ZN+6UmDLymH6/UNDe5BhaCU/3AIViRln6vD7h4IF5O77+1vBzzhTh/+5LLac\npYHU1XqxeF4TiktZ3P9g5HUtrVaFF55qxYb320FRgClK5YeBLr4d27uQlU3JIeCR8IaI61g8rwlO\nJ4+6GndM/aQEHti/14XOjmA3oWRVGYwkL4qsQSmEjIzEG8CNNbImnQLTg/OG9BhD3Up+uNagYiVb\nG2xZFRYFh/HNvDjxhpBS/pA2Skh5Z6cvKPQdUUTCh+Bq5p9s7cLcBxrwu7mFmPXT6GGB2drgz0Ca\nZ6z5XRQFnHuBVg6YKDAxmDu/CCtXVWD+0hIse7p8kMWqNJRkQSn6k5YEShTFlLu4jQRZk04BM+FE\n8H1NCocEgUf75o0wXHkNqGhx13Gwd+9ebN26FR0dHbjjjjtQXFyM0tJSVFZWYvz48SgpKRn2z/jD\nTcFC/KeVrfi/OYVB61XPvVyBL3Z04btDLuzfG+zT0+lVcDpCK4qUP8Sy/ug3qZ9SNAJ7O4UiXDXz\nnZ91YfLUTGzdHL4SOgB0dQYHL0jzlNbs3llnw47t3YO2EcX+IrwFJg0WLi9Fc6MHxaUa2VpSujBJ\niKKItEhVdscQiv7EpXpWHo8HbBIvlqOZotvvQcPcB4b0GB2bN6Ln6z0oW/xEQiLFcRzWr1+P9evX\nY/fu3WhuboYgCMjLy8PkyZPx8ccfo6urCy6XC263GzzvXz+hKAoajQYsyyIrKws5OTnQ6/XIy8uD\nyWRCaWkpysvLccIJJ2DChAnQ64+vg+0ls3VBF2OrRcCCuU1YsqIkSKR+NjsXKvgGCVQ4cQKA/5uT\nL1+w5y4oxtJHG2G3xVeZ/8dVGbjsKj0WzG2Sn/OF6dP+6bYOTJ6ajrx8BlZLbG00VKrgqu86HYNr\nbzCiekc3pCYCOh0gCCp0dflgzGOQX+C3DFiWwrgJ5DcZCmJBKQyO44hA9aEpMKFo3hK0LFswpMfh\n28zwNDeCHTch6rb19fVYu3YtPvzwQxw6dAjt7e3QaDSoqKjAzJkzce211+Liiy+OWECzs7MTx44d\nww8//ID6+no0NDSgtbUVVqsVR48exZ49e9Dd3Y3e3l54PB65DQtN09BoNMjIyEB2djZ0Oh0MBgPy\n8/NRWFgoi9qECRNwwgknBLmNy8pZPDjPhKeWmYPmsvLxJsx52C9STiePA3t7cPLkDNC0A7F2f3n+\nKQtWPMeiwKSB3crHLU4AsGeXC5ddpcd1Nxnw1lq7/0mfD6EsKKdDxLIFLZi3pAhf7e7B5o0d0Q/Q\nN8z2jztkK0qnY7DyxQp8tbsbLAv85WUbxL4y8ZY2fx3D6WdlK3qNKRqCIBALSkm4XC7odMNXSTrV\nyZhwIpjxJ4I/NnSuPsaYD01x6aDnRVHEli1b8M4772DHjh2ora2F2+2GTqfDpEmTcP/99+PGG2/E\nuHHj4jqeVqvFtGnTMG3atJi2F0URFotFFrWGhgY0NzfDbDbDYrHg66+/xqeffoqenh5wHAePx+Ov\nY6dSgWEYpKWlISMjA+MrrsGEyt8Fjd3hBBbMbcT/3qrCm2v96zQ0A/z+IRPWv92OY0dDF+3TaABP\nQHT1y6vM+M29JhSXalBgYuRKDLHi8wELH2rC4if8EXY+n7/leyQ+2dqJa28wYsvmDgi8Pwz9Dw+b\nsObPNthtPLKyKHR3+60wnwjZOqMZK1auqpBF6qKLddj+cX9pKKA/z+m/G51YuLyUiFQYRFFUzA21\n4gVKpVKhN1w8r4Ix3fxrNC2YO2Tj8w47RI6D0+XCunXrsGnTJuzbtw9tbW2gKArFxcX48Y9/jHnz\n5uHnP//5sAe0UBQFk8kEk8mEc845J6Z9eJ5HY2M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oLSQKcP7+KQheDzDi0hO8HtTrE4IUH+hHrK8HXOuiSZ0nAQVxH722yTfhOm++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\nNTU1iqgtWrQICxYsSHEbc00lsN3aBPv9XSlj6X2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QVAfu/cmBF0H39qTHvu53GTz8etJzLkmh+Zw1aUWqLXgobjU5Q53cWvNNiEj8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\n", 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HH1C0fAWyPfMcVXLUZDfVYJer8ardSBjRiGBA4iXXY2zz/J7L/3MpjrogT7Xf\nnIiqBNMjFyaJVpfCDb/umHCb377Wx1fWVs34tfRGKBTCZDLN9WHMOroVKJPJpEuB8n70Gu7NP5zW\ncyPetnE1VH07fknTZY8iW+143ks1XoR6dqXc9h98G1/LlpEbwBvgQqbpoYczipQn1J6ImrzhLs6v\nuQGi8LLrv/FFPERHWi75Ih4cdTFB6g934gm1U21ZPK3zFJCT9NGGt72TbvPyB0Mc21DAKUcdyjXG\nDn9UVdVFik+3M6F6jaD63/51jvcYxbvnBQAkU1Gax0evxKPhpDSPFSgBSlT6tz+HOuTFv/t9Bnbv\noHPgfUKaAoDDXI/dVJN42svd/83GEXHKRLHRQYlcMZOT0jW5spmfe0J2ovOzl9386/8c4LUPJxc0\nQQy9zEHpVqAsFosuJ9TLTrgy5/v0vv8cnj0vMrz/pTSPZnDVKcBSYAX0uZ7jnQ1f56NH7uH3g9/l\n9657+E3bjYm5pDUVX0o8zRf1MDyBOAEMRzw8ffCuhMgJpk4u5qAaKyysv7KOStvEcyXDIegdjPDD\n591CpLIkHA7rIsWnW4HSawRlP+IU7MfneMmMaDCr9kkAaGAwWlGt4K0ARYYty2HrSVE2Xwe+8thm\nXrWbHqUZgCrLkZQYneN2ZZjg6+sNd+EJtU/5VAS57WbeWGHhytVlWW//IyFSWaGqqhCo+YxeIygA\n5/ILKD320kP2enJBY8rqHOGoPyZKy2HL8eCzxu4PjckQuoIH8KleepRmTi2/imI5pl4GYoNnNFN0\nBthNNTjM9Tk9j5kQVjRc+xTCipby99jH8oVcuvh++Lw76+2jICKpLNBLim/+n2EG9CxQAGVLzmLg\nvadn/XUsJ/8jrepefF2t1LogKMOH9aOiFDQDESDNBfvmvl+yuW+0WW2psZJTy69mc98TI/eMClSR\n0cHv7thBQ30Dt91yB1WWRXnj4gsrGn+5uZ2BzjC2apkoBoa6w9hqTJx9xwJeuPsgA51hipxGPnNv\nPVb73P4so9Fozga/bIwS6fj11n5hnJgAVVUxm81zfRizjq4jKD13HZCtdhwnXzeznWhknGKCWPru\nD8Zf85blLfYshJdPgi0ngKtizPOME+8nzkCkl7f7N6R97JPlX6BndwA1EM0rcQJw71cY6IytmzXY\nrTLUPfJ3V5hdf/QkHvO5I2y4sR2/d+4LyHPViy9bo8RY1h5TkpPXn6+IFN88x2w26zqCglhfvmmL\nVAToASaIVsRjAAAgAElEQVRYUstVbiBqSFIeiVFT39jxL8vx0KeNGiQKKE78vdH9OJd8/wiO/4aR\np9pvJqQphDSFbmXfnJolworG9p+5Mj6+5/nUNzDgjfCXW9rmPN2XqxRf3CixomlqFwxPvual1SVM\nLpnQi0DpNsVXWFioe4ECMBqnORAZgRpikU+UmMBEoXzV10EdgqiBaHUx73kfTX1efNsZYsBIkOHE\nbUUbpLSmAIjVQR0M7Gaz+wn6w50p7ZAONd72EINdU1t12N+n4d6vULPMOktHNTG5TPFBTKSKLVPf\n3+Mv93DXFTNrjzVfESm+eU5hYaGuU3xxihakWaMpmuHvdBgAF9APvAk+o4E3ytvoWlDMX8eKU3z7\nGb7tMgVEmdiB+WLPTxIFvvF2SHMRSdnrzZTWjr/SlcaMLQW2MT/FOV7tItfLbaxdZpvyc/b2hIVZ\nIgORSEQI1HxG73NQcWSrHdvHknrqRSFl7M9mnCoB9sBwrYNneIQ9w5t4sS+NOCXvcwZvvUow7f3J\nn2dAGyD+9ZaQecn1GL9pu5F2//s5FSq/V2XfywMZ541MFonP3l/Pydem2uS1EBhGfn1Wh5HP3F2H\nrSYmZLYaE85FczuHlstu5kpI4ycvZU5zToSwnacnEomIFN98RkRQo1SedAWSuRDvO0/G7pjCt0Ix\nQudC4AjwLrQBaYpoc5TWm0zZxl/1a1ikYhQtlgr0qt38ofOenKX8/F6VZ9a1oKlgMLo47V+qKCg2\n4jzSgskyOsCbLBKLPmlj9wYvQz2jQhYdyTAbZSi0y5z7QD3e9hD2enPK8w81uU7xtXtCdPZPLc2Z\nOBZI2NSFq28UVVUpKCiY68OYdXQbQVmtViFQSTiXXwAG05SEZNgML38c9hwBexZCd7Rl/EZ+0u8z\ny9cxDcAJv4VTlLO4su5BSuRYJFIqV2IxTJ42iolT6ovlIuUXVjT2PO9FG9GbaAQ2/aCHF+7tZMON\n6U0OBil2HNIYS/1QbwT3fgWTRaJisWVOxSlOLlN89Q4ztWUzu9r/z7+5ea9tePINdYKmaSLFN5/R\nw9XHVLHUnpD5wTFarkqwfTmp36B0AU7hNA4kuai3BHafBa9ZXuAvB7/H2oNnstp6KcFIACWa2UKY\n2mVi7EEZeMn1WMLtly3xglq/V2XDjW3s+mP61NNgt4q3PZRyX7JZQovA0Z8eI655tsJ6LiMoi1ni\n/ivqufTk6UdAWhTu+2O3EKkR9DIHpdsUn9U6Nw6pfKb6lGtp+f3ro3ckp+bGDKDD1pEi2yQMKhQd\nhOFk41WmgTdT2i9KquhJoIx0yhmIuvhzwVOo/tSnxJfeiKhRjLJhZDcTOTRjgpVt1/OwouFuVtj+\n370MdqsUlcv4+jLXKlnLJez1qW9O3Cwx0BmmpEqmbfvoQFtSPfdzTsnkekXdVz7o539f6cM3vSxf\nCr/d1s+xDcWTbzjPiUQiurjIFgIlSCBb7TRd9hMG92/E+/5zaGEfGGSIpg7GqhTrCGFRQLGAOQDl\nH0KxC+wd8MYXmTwiyPT4JM9Tx1yEFxpsXLTgFnqDzdx+41186vqa9E9MQ5mpNmM7pLCi4W0PUVQh\nJzo9xJlInIwWOPu2unFpurhZwr1fYeujvfj7RwV01XUVeZHWSyYXAtXqUvjpS93s681d4fFnjxcF\nvBBL8QmBmsfEw+NQKKSLUDlbZKsda80yPO88FbsjjThtWT7aqkgeAkLQdVzstkGFj/8C3vgckBwU\n5MwokYrBYGBD90MMqr2c8I9OhnsiFFdN3OhUwsi51dezwPqxtEYJv1flr7d24HOrFDmN+Nyplvbi\nSpmIqhHwjI/SIgq8eH8np3ylMq1ZQi6QUgSuyBkzVeQbM20Wm81ihdPhh8+7WbqgWPer8OolxZdf\nl21zgN/vn3wjnWG212MqrY3dCBoSc0KKEXZXj4oTgFoCofLR21EZlHI47o+kTv3M0hyLXxtgUO0F\nYvbsDzf4sEqlabctlav4lPMarmn6MQuLV6QVp7Ci8ddb2/G5YyLic0ewlMYG67i5wd+nEvBoyJb0\nJzXcq2Y0SyTXRRU5ZT5zb33eRU8w8whquj34suG3r/XN2r4PFzRNw2LJvwubXJN/v4xDjBCo8Ugm\nC/WfvZ+yJVeAORqbBzLCxo9De9MkT1YhUAyyBh/blH6uoGonTDhFNAOWX16MXxtIua/E6ORTzmu4\nrO4ulto+xZDqymiOcO9XxkVMykCEApuENnJ3/H9VmdgFOtit4t6f+jrxVN9n7qnjgu81TNoYNrnO\narKaq1wyU4Gabg++bHj5gyHd10bpRaD0HScDwWD6ok+9I5ksaAZfIvJxOSA62ZilATLsXxO7WSSZ\nxgtRFHqWj/6d68hKLpYgagBDFAMSUTSGIx5ecf+cN/ufRUZmINKbthZqor55wUENi92I4p3iGmJp\nzi9uJ5+MlDorKXZcUQ0k2cVn76ujrznIghVFs9L9fKYuvngPvoc2dNE7mPt11/Te7VzYzHWAwWAQ\nEdQElB69NvF3hQcMyWKTLngY823yaf0US+Wpdxoy/J1LDFGOdh+dcPLF//dFPAxEYunA/nAnPcr+\nlKdN1jdvquJUWCZN2503rs5KGy3s1VR47oYOXnvMxTPrWnIeUeXKxTfVxQqnwmzt93AhGo3qIoLS\nvUAFAoG5Poy8xWyrpuGiH2BiIbwJS16Cpm1gbyZrcdE0dcKVbzMSHfP/VFCh1bhn0s02un6WkupL\n6ZuXg1/Gqi9XTmt+Kb5+VKY6q2Q0FQ7u8E3n8CYkF4W6U12scCqUF8//6GEi9JLi071AKYpo6T8R\nZls1pWddw8avwp6zoOUkGFyQ/fP9DExSkzSGuCAl1V85d4M8lfpMGQJZXGCPXRbeZJE46/YFMVPE\nDOfIorYBbEdNr/DH2x5KsbVLE2XbJFiwomiCDaZHLgp1Z9Mo8cwb/bO278OBaDSqC5u57gVKRFCT\n01rYQjQ+Xsmgjb1wy2XHqDQX7sNVIE2QxTIPQP3rYPZO7UBKjM5xdVA+l4oyMLM5kyhRBq7+H545\neDddHw5MeW0ne72ZIueozVvLdO4GOO+BWM1VrpeMz0WKbzaNEour9B1BRaNRCgun06bl8ELXAiVJ\nkhCoLLDJqZ24LQNjNhgrKio495Loii5h5MTSC6f9+ooDQhnGOkMAVvwOavaA/DsvlrhITTItUyyX\nc3n9veOs5slpPkupkaKK2E8kmk6FMwQZBgyY9h4FD/8DL9zu4i83t09JPEwWic/cW09h2cS1SOVH\nmlCDGhtubOOvt3Vk7AE4HXIRQcWNEpW2mdVUpeN3rw/o2sknBEoHSJJEKBSafEOds8D6MUqNlQAU\n4+AIywo+9mysKDctRnAvif0PoBHhrYFnM79ANgFLhuAoWgjbvgSvfwH8Xy5DCUU45i+kFY9SuYrz\nq7/DxbW3cVXDQxTJ41UvnuYrchpRBiJIRiPmkpjojEMdPSjDmDHY+tJZGF2x92ygMzyuN99kWO0y\nTZ+YuKVP374wz9/eyWB37IMY7Fbp/sCfk2gqlyvqrju7Kif7Gsuvt+o3zaeXFJ+ubeZiDio7zJKF\nKxu/S+vwO/y19wd8UOCBC5h2u6JiowNDVGJIG5lAz+YC2wBSALR0F43Jr1cpYxqGIjf4nGB1w9L/\ng9JTz+Co07+Q1RIbPpeaqIUa6k6dR4oSTRIrQ+K/6Bg9MERltOJBpGEbRTXRcb35smHJ2lJ2Pzc2\nXJ2YrT/pJTioUVpr4rP3T78IOFcCNZO1oCZDz06+aDSqi3Ztuo+ghEBlh1my4Aq1jN4xRoTsBzI/\nVxpRILtcHYteGr/P2uqvT/kYtEKymu969xI48dew+nE49WdQ9RFY/vdl2r7+Vdwb/jTp85PTfGMj\no+Fz/jw+3Rdf9j4ZY4TBLz8G//x7Pn3fgmkJha3azEU/aKBmefZureBgTCmnE7Ulk6tu5jNZC2oy\nli7Qd9NYPURQQqCEQGXNx2ynj7ln5OsTGe04ng6NCCfZL+LSujuptx6DWbJQZVlEmSnWTsmQVQg1\nQhbu56gM/U1g7wQ5eWwMBvH+7slJRSre7eGUr1QQTUo/WsuNXHjx+Zz3/Sqqjkk/OEhGOPGqci78\nzwVcftz1fO4T/0bRDK50bdVmTvy8M7H67rhjzdA7tchpnFbUFmdsBKUoGs37FJQppg5nshZU4SQa\nuXnv0LT2O18QEdQ8x2g0ik4SU8BuruYLDT/gJPtFXFZ796hWREGZwLBlQOJN7x955uDdhDSFkKbg\nCbVzfs13sBpLiaaZhDJ74cQnY/9MUxyHDBGo2Jf5ce+fnp50HyaLRNPqkpS+eZ+9r546+2JKqs0s\n+tIAGFLnoE68upxLftzEMeeVUeooptqyOCer9v7llo5xKUSAZZfYCad5bwwSrPl2zYx6/MUu3mKi\n5PWq3HVzO/fc1sFdN7fj9apZi1V8LahbL67FPEWvRGASo8uvt/bh9c1+26d8Q9Ni77seBErXc1Ai\ngpo6dnM1q52f4/2Bl0frmzJ9i0ZaGcW36w93sntwE+96/4JX7abE6MQfGZ1jibcmKpRsXFD+VfzF\nG+hzf8DJv4KtX4ZolgPc4o1gmaBBiP2CS7PaTzySSl6GPaQp/KbtRrxqN6ZzVlH0/HmxU42AuVDK\neduhgzt8GW3me/8vvYstqsHL3+3iE1+vGtdRPR1er8rOHT6WryjCPnL8qipx3+3tdHWGcZQb8fTF\nLiK6OsPc+q02hoc1ampN3HF/PZZJ9m8xSxSYJEJTdO/LhhQfyjgiGuxo8XHGMembA89XVDX2hcjl\nopL5ioigRAQ1LZqKViDFlUklva3bMPamxCvux/Gq3QAMRdyJJdwNGImiIWEkoA3yZx5j42fb2Xot\nvHMZHD950BPbjwp1OzM/Lh+zHOe5F2S3Mxi3DLsn1J44/vBx7xE1xk5ckmenYHbBiqJEoa5BIiXV\nFx5TvJz8mL8vwgv3dqa1uHu9KpteHsDrVfF6Va5f18Ljj7m4fl0L3pG2SV0HVbpGioXj4hRneDi2\nv67OMAeznOeqd5ipnqJ4q1G44MTMobnRACuacv+e5zt6as82/yV4AoxGI+Hw7EzgzneKZDvXND1M\ni28HNf0V9G94lgORXbSsBH85FPbF0n5RI+MiqTh2uZrTnF9kUHXxivtxIDZfBcQiq5Fvp88JoWIo\n8EJw7HgVIeYCVOHol6BmV5QFn/8GpjIH/X/4LWUXX47ScgDvn57GfsGlUxKndDjM9djl6phIlfgY\n/Nb3kfceSdExXmTb7eT6J2W1y1zycBNtrw+z6w+elIUOx5IuDRg3S8Sb08YFKaKCUXZx3gVlREYu\nLiIqPPXLWK/C+kYLVdUyPd2ZU2i2UolQSENRtKyiqC+vqeSeP3ROcsap7O0MUFtmGme0sBVK3P0P\ndbpcF0oIlE4QEdR4VK8X384dFC1fgWy3T3h/kWznmNIzoBRC5ldp2gJ178FADew6NyZOxgBExljD\n7aYaTiu/mlf7nuDP3espMjqIhVvp8zmGqIH3PxvF2hfrGhEqTX4MlvwNat+Pp/UMSFoE66LFFN96\nDwDFxxw7Y2GKY5YsfK7hQQ76d/Ni76MESgYJn7QDL2S1fPx0sNplyhdaUsVJItGOaaKm8GPNEjt3\n+FIE6dlnUmuJXn0lljZUFI1/+nIl6+/JLChGo4H193RmnepbVGVJKzYTUWGTuenCKto9IUosEu+2\n+qm0mVi6oBCLWZ8JID2NWUKgdPRhp0Npa8X7tw3YzzkX2VZKy/XrIKLikiRKz78YudBK4ceW0XHX\nLbH7jTJNDz2cIl4A9nPOZXjLJuQwGFXwjTQxjxSOzi3FVrL9FgusS2OpsnAXEOsyPhHRETOCvxxO\n/l9wLYIDnxh5TAZTaHTOKRKN4nr8Mbx/fY76O+5HmoWGmmbJQqFcTEAbTNyXrm3STEmZG6o3Y6uW\nE0W5ija6YPE4cRoRr9iCiKnLzy9fUYRRdiVEahwjYdiv/qeXyz7npLrGRHeaDu8lNol+z+i81MH2\nEIsmWULEYpa4/ZIF3PrbdtxD2U1IXbayHItZYnF1bN/Vdn23OIJYBJWLZr6HA7oWKFmWdd1JQmlr\npeP2GwAY3rKJsgsvJTFyaRoDz8YnfpKim4hK18MPUfGF67A0NKZEVnV3r8f7tw1Unb2W3fyE/nAn\nEjIaKlaplMvq7sJurgZiqbISo5OhSPbdrks1B/YuD8VuaFkZEyeDOurYi0ajGEd+uOGuTkIH27Es\nyn1EA7HjLzPV0h/upER2cnnd+LZJ08HrVXltyxCKT+O5Z/uJRECSXNz5QB0nfrGCjetjoj72lTRG\ng6rtGlQ5jFx/b90404bdLvPQw008/FAX+/eluziLCdQb2/zseLON+7/XwK6dfp54fPRzKrUbGUha\neqTcKbMgS0u7a0jNWpycJRJ2q66HqLQEAgHdCJQ+Y+QRjEajrgXK+7cNKbf7//JnSPvFT029Bffv\no+P2G/BsfJGW69fhevwxWq5fh2wrpfrL36Ck8SiuqL+fMyu+gjbinvBrAyjaqCfaLFm4vP5eiuUx\n60WlQcLI+dXf4Yq6+yksr8HihzU/gmP/r4Azf1GaiJ6Sf7TGcifmBbmNaJIxSxauqL+fy+vu4fMN\n30vbNmmqeL0q1/9zC0890cezz8TECUDT4PYbOti2NdVTHvefxsWJkf9NQIsnQsfB9N9tu13mC9dV\npH1M00bFI6LC3g8CfOKTNmpG7PblTiM337mA6prYbUe5kdvurZs0vRcnuS6qstRIaWHmgdY9pPHB\nQf3Mt2RLMBgUAqUH9B5B2c85N/WOcAii2XcE9/zipyRPaHQ9/BBKWysQG8AXl6xOFOOWmWrHpcCK\nZDtnVY7vKBF3B5bKVXzKeQ3XNP2YhcUrsFjt1N/5ALU33MYR/3IrK9d8B3PXqE1dHTl2udxJ/W33\nzkp6LxmzZElb66QpIZR93WhKKOXvydi5w5cQpXQ8/+ow8ZWfNGJRVJDUH3EAEts89nB3wpU3loZG\nC3evr+PkVWNraUY/f0mKpQQtFokbbl/AtV+p4LZ76ym1y0RH3mujEboOhrIu4I3XRd1zeR1fPaOK\ngcDE37eHNnTrstZpIhRF0Y1A6Tp+lmVZ1y4+S0MjdXevp+O+2yEHc3HxyKru7vVYGhoTUYYn1I7D\nXJ82BVZlOTKRKrObalhT8SUc5jqGVFfa50gWC9alxwCgKQqmmlrCXZ3I5U4eONDJQNdBfrvxf2Zd\nnDKhKSHab36KcGc/crUdgwHCXV5MtWUsuP0SVNcQ5noHkmV8Smz5iiKMRldGkYoAbwKVwNKR+wqI\niVLhyP9vMtp7t79f4+5bOrj/oYa0EU5Do4Vly4t4fdtolKIlWQFvurMWu11GUTTW332Qrs4wNbVe\nPnd1ecLd5+qNsP6eTqprTNz5wORGCSAxp6SEtIRpwmiASBqt0mut00QEAoGc9UrMd/RxlhnQu0BB\nTKSc134tp/tMTh1mijKSH4+nyj5X/wD11mUUyfasujBIFgv1d9xP3W330HDf9/AaDHzoC8yaOKle\nHwMvv4/q9aW9DRBq9xDujDnj1G4v4a6YKy7c2U/bt35Fx22/pf3mp9JGVHa7zEM/bqJpYebWQBGg\nl9EoyUdMlN4EXgfGfps9fSp7d/sTdU9jiYni6O1odHSb/37EhaJoHGwPJWqiujrDPPbj3nH76e4K\nc6B5tOg9udYqE/Fo6itnVqQVJwBZ0met00ToKcWn+whKryk+JaLRHgxRX2DGvvIUArvfx/f3F3Oy\nb5PTier1jnP6ZSIuYtNBslgSRojZ/NGqXh8t634OqoZLlqi77wo6bnkqdluC8s+fSsknlmCud2Cq\nLSPc2Y+hvIRo/1DCDq4NxwbwcGc/oXYPlsXV417Hbpe59mtV3H5DR8ZjiUdSxQa47Lpytv933zhh\niuOslPnR97qJRGJ1T3fcV0dLczCla4SWJA7RpBRvb3eYJx7v5Zxz7dTUmhIi5RtOn87bv0+hsyPE\n4qMt3HVLR6LW6qGHmxKvNRaLWWL14hKe2+GNRVJSLGqqsMmcd4KdlUcW67LWaSIURdFNBKXrT95k\nMukqgvKGVXYM+fhYUSHrW7voCoWpMZt4YFE9FRddhm/Ty7EZ+UkwVFYR7e0Zd3/BMccS3P0+/c8+\nQ/9zf0prR59NDAZDygCbS3w7WkAdeW9UDc8f3hi9rUHfE5vpe3IrTT++hvr7r8D/wUG6H3ou7dLx\nxlIrWjCMpoTSpvoaGi18/ZtOHv1hZodjBBiIQihioLJKprcnFqnYSiUMBo0BL5Q5jKw9x8ZvnojZ\n+CMqCeGLC8fOHb6UAt/kCApgy6Zhtmwa5u71dbz+2jDP/TF9eyVJgqd/E3sdg2F0KjOiwrbNQ1it\nUoooJhOPpNo9ISpKZFxDKvUOs27rnCZDTwKlj7PMgJ4EyhtW+cbeFh7rdPFv+9roCo2kbEJhmgMK\nst1O3Z0PxEYaAKNM3d3rsZ1zLhTbUvZlqVmQ9jWC7783KnARFd/OHbN2PukwGo2zJlBFK5pi+aYR\n/Nv3j98oojG0ZS+SxUzE608/qQJEDFE67/1DxlQfwMpT7Fx46cTrHRkMsGy5NeWcDYYoAyMa0u+J\nEPBrpBvLIir87kk3TYsKMCZpRqb374nHe2lvyzxPqaWI3OjfVjR2/7KH3zzWk9JKaSzxeSl7kczi\naosQpwkIhUK6SfHp+lugJ4Ha3D+U7mIegLeHfHjDKpaGRpq+/wgV136FpocextLQSOWVV1N+XmoX\nhoKmhaSMaskkCVzR8hW5O4EsMBgMiU7PuUa2F9H08DXYLzk5dkcGHQzs60b1+sYJWgreABBL9fk/\nOEj/czvo37AjZS4LYM1ZExsDHOUyHreKq3fUVTHgTT2wZ5/2omkgp5nW2rJpmLtu6eCO++o4cvHI\n8iEZBGrf3hDv7ghMeDxjsaLxr4Q4H5V/JUSZqrLvyR5Urz5+c7NFMBjEaJxia/jDFN0LVLwz8Hxn\noguu5/oGWPdhC96wimy3U/rJM1JScyWrTh0VHknCvuYsmh56mIprv0L1t29JjbrufCAhcIcyvQez\nm+KDmEip7sEJt/Fv2x+bq4KYoF10UsZtDY4iuv/9z/T9cjN9T2ym5Z9/nlaoMtHnVtm6ZQCnc/Kf\nsZpBEyIqtDQHE3VRWnT6v4cSGzQeMaqEi9EScwgy8BVUyjb107LuQyFSM0Ck+HTCfBcoJaKxzTvI\nL7tcVE+yGI8ahSe73XjD498P2W4fjay+/wiy3Z4QsuJjjh0XdY0VuEPFoUh72M89YfKNVA3fjhZk\nexGOi07CVBN7L4yOIuTKWLpULi/Gce4JqZFYREsIler1sXPH5EL16kYfHo/GmrUZVi7Mgj27A/R0\nhbnl7lqOPb6ArFaFTIO5wMhnzx+N+g4y2uQ+StJgo0bx7dD3YoMzIRQK6UagdG+SmK8CpUQ0vrWv\nBffIRP5zfZM/Z9PAMFsHh3n4qCbsptSvRlyQ0jHRY4eS2Y6gACyNFdStvxLXTzcS3NedfiPJEEvx\njRA/JINJHs2gmWQKl9Wn75Eb0RjcvJflpy5HklyT+lY0DboOBpGkrDwu49j66jBbXx2molLmmOXT\nX0a8zxXh0R+6+fo3neze7mf16x4kLbXTBcRuFK2YvqDqHZHi0wlms3nezkG1B0MJcZoKE0VS+U6u\nTRLp6pwgJlI1158LxvQ/H+e/nINsj9XuhNo9qN0x14LaM0CkN9b5Qu320nnPH2LilGY/Q5t2Yxno\n5/uPTFwXFWfP7tC0xCkZV6+KbE7dSY1NY6VFw5pxBnM8O99WuHi5BWnkKUmN18EAdQ8sQrZPbxl4\nQSyCEgKlA8xmM5GJesscxtQXmHFmmqSfhE0Dw4k5qcOJXEZQ8bon12Mv0bLu5+nnhdItwAS4f/g8\n7t9tQ/X6EnVRwDghitdFERm/n3BbHx03/BrLQD/Xfq1qRucyFX7/6z4MBrj6Wif/7xtOrvWFOEsJ\n8a+EKCXCqUcaMY2EfFY0jkMdJ17nnGuPRUgjY2hUShpoDCCX6jpxM2OEQOkEs9k8b1N8FqPE9xY3\n0WCe3pWqGoUdQ9lN1ucLuRSosXVPQ5v3pkRTvh0tKTVOUnWqFd/79Ou0/PPP0ZQw9fdfgeOqU9MK\nUezAMx+H639fpa5K4uvfdE7/ZIDGhSZOWjm27954NE0jGoVPfNJGk6phGLl+k4HrDGFO3+/jSyNi\nFXfofZMQn0fhWEJ8/esOGhpHOnnEU5vJp63B0OZ+Bl72CKPENBECpRMKCgrmrUBBTKTOcdgm3zAD\npcbDq9YilwKVYhM3QN8vN6dEU2Nt5Fp3GndfRGPw7x8gWcxIpgkGlAkOOfh+B23f+TUfP8HKcSsm\nF5hMtB4Is+ONyTuDR4kABp7+jZvt7kgiCgIoHDlOJ1E+SzgxgW0EFgIXolH5u140JRIzQWTQ475f\n9uJ6rDPFzacpEZR9fjRlfmY0ckkwGESW9RGF6lqgTCbTrNXN5AufKCtlum02H2rv5UNfbFBrDSg8\n0t5Na0CZ5FlzhyRJOROoRN3TpSenCoiq4X5yCxCzkZfF66IyMLh9H50/+AtaBrE3WCdfR0ntHcD3\nTiuXXuHI+vjToWmkjaKcqJxHCCcq0ZHfwwvPD/LkMwP8R8RMc81448SiDK8Rcau4ftlNwaLCyc2A\nahTXE12EuoO03/wRHbd9RPvNHwmRmgRVVUUEpQcKCgrm7RxUHItRYpltes02NeD2A5386mAPNzR3\nsGlgmBuaO/JWpHJtM5ftRaiu8ZHR8KY9iVqn8CR1UeoBN/5t+/H89O9pH4/6s+sFOfDSLmpLI9y9\nvo6Pr7JSMs3AWNOiOCvlhCgdicJXUTkeja+iUoGS0JU6QvwDIXq6gsRNoFLx5APj0Iv9dNzUTMnp\nk18a+bYM0nb9PsKdsS4V4c4gSnNARFMTEAqFRASlB/QgUAAXVEzcMmcy/tyfWrPyUGtXXorUbLQ6\nynPkOA8AACAASURBVFj3NFLrlFVdVBYYJkoBAsp77bSs+zm1pRH++d9queiy0TkpEyq1eDExebr6\nosvKuXVdZUKUrmA00DEAn45qGAxwDApfRKMOWA2UAu8cY6Pu3iNS0n4Z0SCwP8vFBpN/gkbo/EGr\niKYmIBwOC4HSA3oRqMZCC5dW5K5wtleN5GUkNRutjuJ1TwVjO4+P1DplfHwKSGVWHNetmXxDVWPg\n/96j87t/4ojX/04lA5hQ+RJbuJatfJVNWBn9TKxorCLI2hFTw/kX22hotKC82JciSilENQwYuGjM\nYzJw/FAQLajR9OMlSOWTq5TaPg0TRAQYil1khDuDDG0dECI1BhFB6QS9CBTAWQ77NPsDZGaDO31n\n67litjpJjKt7kgzUPfC5RK1T4vFp2vq1fj99j76I85ufxrQw/VLscfqfeR3/jhYiu9r4CltYV/E2\nzpHVoewoXMtrmEas3/9KiLVEWYXGOsJs+kM/v36iB/m0zBF1JBr7PaR9J9uCdNzQjDqgUvm1ummd\n6zgmqgs2gOuxThFJjUFEUDrBYrHMe5NEHLtJ5ubG6V/lp8MTUvMqipr1ThKJuqcocmmq2SBuqnBe\n+ymMldOzpShvt7Dghgsm3zCJIpcr5badABUMp/TBg5jgfI0w5g0u7rivk4LV6SextCwKct2/6sK6\n2Er1LY0YF0y/4Lb0vHIa1i8GOcOFxchHGe4MEmqf+YrP8wVVVTGZ9FHorGuBMpvNuhEogGNLijnH\nnrsWM7sCSl6l+nLp4htLSt2Txri6KIiJlP3s42j87pWUnpc6N2U5oQGsE1/15mI+y00RLorZhzRO\nakzAccA3CdHhTm/OyObtU3b6afl/H2Kpt1C4KLP13dg08SBqtMtIFommh4/CeU01Rkf690d2mjDX\nT78F03xDRFA6QU8RVJyLq8pznurLF9PEbDbQHFv31PerzWm7TKheH0Nb91Fy2tGQZC1X3m5LNQOM\nwXHd6VgaK2JCOF1KCij54umEkbGiZfycJaDiw/SfVySqYsjiG6L1R2j/zn6KT8s8txlpnWAOygCe\nX/bQsu5DACxHWIl4kkweI1NcxnKZunuPQLLow1adDeFwWERQekCPAmU3yTy6pInpl++OJ19ME5Ik\nzfp6UGVj14MaqYtSvb5Ye6RvPI7rsZfouOk31N3/udRIKpjZZef5+abJ15GajKEgBb/YwMojA6ya\nQKAmYioRaGQwQu/DHVTf0oh1lY2SM8akNifaVeL9i3U2N9cXYKqJ1YQZHTJSWSxCMJgkJIuuh6lx\niBSfTrBYLLPe/TofsZtkrq6dWeucdDzVM34Z+EPJbC+3IduL0tY9xeuiBl54D7SR75MWpe+3rxFV\nsnSyRTTab/8dSntfVgXAhrrMRoezbR1sQ5pQHzIeRjQyJWHTBiK4/6uT6q8tYFpLSSV1Nk/8FA2g\nuWM7U7tDKPtFXVQyQqB0QmFhoe4iqDgfL7UxeQ+DbIgm/v8otItWxQOAooXZp7hQtEPXb+1QLLcx\nUV1U8KAn5a7AWy0Mvrhr9A7LxINKpHeQ7vv+iNLeN2kBcLSjP+Nj5aua+Je7F9Blm3paTCOasPAV\nHGvNamko1R0msNuH7Jz6oGl0xOahQu1B1O7YvFikTx19XQl6ftQu6qKSEAKlE/QaQUGsw8Q9i3Jk\nFQbAgDdUzw3tf+G94U5uat/AbR1/5ab2DYdMpGbTJBFnoroox8Ufz7gER+HxjVT+yzlZvUb39/6M\n+ahpOi4tRtyPvAA/+SMnfWvBlJ8ee/9i6hB8zw8SFJ40cScSo0Om63tteJ9xgwTG+jGXPhOMMhG3\niuePLqQSI6baJCNE/GPUYqlEEHVRcVRVxWzOzeVlvqNrgSosLNStQEGsgHeZdabuqORLbCtErazv\nfomucCwC6AoP0qy4Z/ga2XGoVhkdV/ckQd0Dn8PSWEHTj6+BovFXt4F3Wun9j79QfctFYJokLAlG\n8Pz071hPXTz1g1Pig3k/4Q4P1bc0xux7WRLR1NSgKQJFy21MNGlZvMo2agDRINKe6hAsu6h8wtf0\n/tFN2/X7qPlOA/aLJkg9i7ooQERQuqGgoEDXAgVwdc3EhaGTk/z++cHgRx0z+/G2rwOvmmXbmxlw\nKCKoOHHTRMVXzqTpkS9haaxI3O+87sz0T1I1Iq4hnN/ILpLyv9WS+UED4Jy4ZMD1mJe+n3fT9J9L\nKDgmu07oUUYjKAAksC4vRi7MPCAqzYGMI0n51VWUnu3MXOsUJwJ9v+uh+JRSURc1CZFIRERQesBq\ntepeoBoLLaxfVJdVe7XxRIE2kDrAuBsKdo5Z/CfGcwO7WdfyzKyL1KGYg0pGthdResYxiY4Sceyn\nHIXzm59OsZnHKVrRNPr4JP33CKRPjZoWVlD34JVUfzWDEI7ugHBnkOCBANYl2QnU2ELd2jsXog1F\nUHsyp2mDewOxGrE0kWHhsmJku4m6+46YdD7Lt2WQjls+ovb2Joylmd8bvddFCYHSCYWFhXN9CHlB\nY6GFG6fVZcIA5gEwt4GpP604xVHReNK9Y1ZF6lAL1ETYTzmK6hsvTLnP+c1PJ8TMfspRlJ1/4rT2\nHT7gouOWp7DUl1P57fMm2LIdg02i69/b6I/PD03S+SGipdrThzZ5Y/NDNVkMiOHx733HLR+hesME\nmwMT287jqFH8O4aIDIxJ4Y1EVUanSfd1UWIOSidYrdNfAG6+cWxJMbdMVaQMsZRetmwa/mhWI6lD\nNQeVLbIt9QLIUptqDS89+9jp73ykm7rZNtF3uJ7ooJbSAWMykYgShSS7/tCL/bT92z5qbmjE9unJ\n16OSxjoHR+qcilaUTJ7m4/+3d+fRUVfZose/NSQpyFQZqSSVpJKQAcm1MY2oF7Qv8pDXz6mxpQUW\n4oCNILb2e16X19bu5VPbq+va99pvIUhrty5RcAS8CkKj2Agok0wKZE4q80zGSqVS+dX7I6kfFAlJ\nkIT8oPZnLf5I1a+qThJSu84+++wD6CHsXyLUggmjJZD439uwrczA+lwqyS9PxGj2j/WXc/GnGZR/\n9Ms4B2+AUhRFc29uY+GfQkPICIL8fun9s9Yl8IDxJBhaB501DcSNwmenjnNn1BRM+pF7ozl06BBf\nfPEFLS0t/PrXvyYhIYHExERSUlKYOHEiVqv1ov+Omzcf9vm6+k+biXvsZp/1KttrS2jbk4fjeDmd\nh+w+1+six+NpOkcw7+umrjcFEBAfQXfVKXo7r2YBtUAi0H+Nqqdq8IpK5Rz7oNp2nSL4JyG0bm0a\n4N4zHt961synb5+T0RyAbWUGDetqaP+6pd81KPQVm6QRaAki8YVUXOVdBCYGqbMlfw9MXoqiEBTk\nHylOvw5Q3n5WLpcLk8k0xqPRhoeSE/htfjmnJ9ceIJfeNz5d79f678HY/qNf47OWkxzsqOTFpJt/\nVJByOp1s3LiRjRs3sn//fiorK+np6SEmJobs7Gx27NhBW1sbDoeDrq4u3O7eTZ96vZ7AwEBMJhMh\nISGEh4cTGRlJTEwMFouFxMREkpOTSU1NJT09ncjICzvB1nzzVbR/nat+3VPXSsUT67G+tMAnSEXc\nnIMH+gWocwYnIPaxm9V0YcIf7qT86R/oaQig90968Ko5r/HXhhE5N4aKJ4rU2xTP2R9GerV8dYpx\nPwnFGBuAu26Y2wZ0vQHHG1iM5gCiF1po39NyuurPDLoePZ42BWNMAIETemcGepMBU7pkOAYiMyg/\n43Q6JUD1sQSO49nUGP5Q+h14AsBYDQYXuA+DEg/6KjBeeEujGncr5a5m0k1DVxHa7XbWrl3Ltm3b\nOH78OKdOnSIwMBCbzcbMmTOZN28eN91006ANNFtbWyksLKS4uBi73U5ZWRnV1dXU19dTUFDAwYMH\naW9vp7OzE5fLpR7DYjAYCAwMZPz48YSGhmI2m4mKiiI2Npa4uDg1qKWnp5OamuqTNjYlx2B56hfU\n/HGTz1gq/n0j1ifnYkqOwd3cQcehUsZnJ9Jk0EPP8Gakdf/xGaZXFhNoMeOu99DTcP7rqY59rUTO\njSHq7gk0ru3tAuLxeAacQSlNPVT9oYT4Z1Po2N9Ky2eNA1x1lr4natnRpM6ijOYAbK9m0r6/FUw6\nGl6rUo+Zd9d20/ZNC6H/HO7Xa0xD6enpkRmUP3E4HJjNI3eg36UuY3wEGeO7yHdXnb7R6ASKR+w1\nYo0hJAb2/5krisL27dv58MMP2bNnDyUlJXR1dWE2m5k8eTKPPvooixYtIi0t7bxeLywsjJycHHJy\ncoZ1vaIo1NXVqUGtrKyMyspKampqqKur4/Dhw+zcuZOOjg6cTicul6v3zV2nw2g0EhQUxPjx47nT\ndg3/O+V/+D55s5PyJ9aju28arD0IbgWMeiz/dhunPthLV0HNwIMKNIDrdAqtZuVWLA//TwITQzFa\nAtVODMPmgYp/K8L6YhroasEDPfQwWLld6xdNRC+00LK1Cdwe0IPlyWQa1lThbuhGH2JAae8bo4I6\nO6s36rCtzFCDlPmmKFp2NOFTNNi3z6n5s0YSX/DvQojBKIriNx+o/T5A6XQ6Ojs7x3oYmrPEch1P\nVHw2as/f6O7AqXTjaG5j3bp1bN68mSNHjlBbW4terychIYGrr76ap556ijvuuOOiF7To9XosFgsW\ni4UZM2YM6zFut5vy8nLy8/MpLS2lrKyM5oo63E4Fo853/UsHHPmP95kSndL3YIWq5zei76tE1Ol0\nKB4P+jP7C7p813dchXWU/fZtkl5ZTOyv46l6rnTwAQYAZ2fnPNBV1IltdSbVK8tQigavojDfHK2u\nJ3mLH4zmAMa/PBFXeRf6UANl/1rYG7x8fji9xRLhN55OmwbnhFJv1J2+9qx9TpLiG5iiKJLi8ycS\noPpLNkXykvUW/lixnVZGflNkDx6uved28tZ9QXBwMOnp6cyfP5+FCxdy9dVXj/jrXQxGo5GUlBRS\nUlJ8bnc3d1C9chtdP1T43P6ze+bSsvUY9Ch4QA1GOp2OPZ12Pq76jpdSbiNAb1SD1kA23PN/eaPu\nIM+kPYPFOOHcA+zmdEGCl+F0EUPcw0nw38o5XyfygQmYkntTiUZzgE+wOXPNyLYyg+o/2ekq8E0F\nK509uJu7fdakbCszaN7aSPOm091G/H2f01D8aQal82hl48gYMRgM7N2795J9UxxtdmfTiM6kvG+0\nHncPtvwuHrz2FlJjR7InoDa5mzsoXfGmzxqT7bUlQG91n09aTwdRi2YQOj1z4PsHen6Pwu/qtpPi\nTmd5wgPq7fWdDcSMO90+qFtxE6A39j3GzeeO7eSFFxGeEE5iYiK5B3J5a92bHPnlvn6vYYgwkvxf\n6cNKvTntnT7FF976Gs5I9Xkpzh7Kf1dMd1UXhugAEp9PlYq9QYwbN4633nqLu+66a6yHMur8PkAZ\njUZ27NjBDTfcMNZD0Sy7s4k/VHxO12An7p0HXd8/BTCiZ6XtDszGyz+d427uoHV3HjodhE7PVKvw\nnPZ6Kp5Y3/8BRj22lffhbnEMfP9ZYpbOIvSfs3ze7BOetlH1Yinumm7cph6Mzv7Bxe3p4b79D3K8\n8QQOh4Oenh6e/Mm/cn/WPf2u/VvDO+Sa8omKixqylN9p76RpYx2OvW1njTPeZ/YFvUHq7LJyMTCT\nycT69euZO3fuWA9l1Pl9gAoMDGTz5s3Mnj17rIeiaZ82/sC7pw6NynMvjbmOG8N/RGPUy4jTXk/T\nxgM49hb63B6zdBbhN04+5/0qvQ7bqvsxmoP7vdl7v9aHGij7PwX0OwseQA+2VZmsXvsaTz/9NLXl\ntZQ/UYhugFM9qlzVLP/+t9S31A9Yyh8QEMC4ceMICQlhbvLtPGJdpj5WQeHonDySrkgakVJ+fxQY\nGMgnn3zCz3/+87Eeyqjz+zUoKZIYnhwlmvc6e+gZN7Kfbo3oyQk+/2MhLjem5BiCr0z2DUB9m3HP\neb+XDuKfmafOyM7eQ+SzPrQqk8qXSukuOWtdUYG6t6pw9x2waAozkfZfk2j+vJGm9+t8Lo0PjOO7\nLQf6FTGcXcpfUVFBS+Up3B43Rp0Rt+Lm7m+XcPy/T56zlD8kJISIiIgBS/nT0tKYOHGi33eA8Xg8\nftOmze8DlF6vx+kc26PKtejgwYOsW7eOf/zjH+Tn59PR0UFYdCTTVz1C2FUpQz/BMNwQksrC6By/\nSO8NR1BarM/Xlidv92lEG5xjo/7MvVJhOehcTjzOCOpfayPxhZgh02NGcwATlll914f6OPa20VBQ\ni66vzFxvMmD+eRStX5zC3Xi6/M8YNXARw7lK+d3N3WrF3wHzd+rtg5Xy19fXD7uUPywsDLPZTHR0\nNBaLhfj4eJKSkrDZbEycOJHk5ORB98hdajwej+yD8hc6nc7vA5TT6eSjjz5i06ZNHDhwgMrKShRF\nITY2lilTpnD//fezcOFCIiMjqXG18tuyTUM/6TBIcPLVVeQ7U+m2N9BS30Zwjg2jObi3NdKr99G+\nvxhMMTS81oCnL1Z5D/MbziZXU/I4oh9NoOHPlf3uU3p6OHOpUW8yYP1jKuW/K6KnyY0h0oj1j+e3\nR+nsij/1uS+glP/MoFZVVUVtbS0NDQ0UFRXR2tpKR0eHmnr0BjVvF5Hg4GDCwsJ8uojEx8djs9lI\nTU1l4sSJxMbGarb9mcyg/Ig/zqCKiop455132L59O8ePH6e5uZmgoCBSUlKYPXs28+bNY/bs2QP+\ngVoCw3gl6Rd8duo4O9oKUfCgR9d7VPh5+F9hmSP17Vw2gnNs1Bv1vRt3gcZ3d4MH6vuKJbxBynzT\nP13wJlfzdRG4K7po/tj3MEkFD7qzmroazQEk/2e6JooYzlXKPxiHw0FxcTFFRUWUlpZSUVFBZWUl\ndXV12O12jh49SltbG52dnXR1dampR29rrHHjxhEaGkp4eDhRUVHExMQQFxeH1WpVW2NlZGQQFjbI\nqY4jyJ8ClN8XSYSHh/P888/zm9/8ZqyHMioURWHbtm188MEHfPPNN5SWluJyuYiIiGDy5MnMnj2b\nu++++7z+4L2a3Q4OdVSSE5zAtqYTbGw9MeRjMgKjyXf1vin6UwXfcLmbO2j5+/ec2rDf5/aQG7KI\nXjhdTfm5m7spfTi//4ZYwPpc6rA2ubqbuyldkeczY3o/5RP+tOZPNDUN3hT2cuedjXnX0yorK9XW\nWI2NjbS0tNDe3q6mHpW+dk1nph69rbGio6OZMGGCup5ms9lIS0sjLS3tR2241el0lJaWkpycPNLf\ntubIDEqvx+U6zxYxGtbQ0MC7777Lli1bOHLkCPX19ej1eqx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xnn8jWucOrMVOhjt2oBSVoRTHU3pji39ti1akbaJv6x8oa7wIsKA4Kxjes4vi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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "geo = hyp.plot(data, '.', reduce='PCA', title='PCA')\n", "ks = [3,6,9,12,15]\n", "for k in ks:\n", " geo.plot(n_clusters=k, title='k=' + str(k))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### ICA projection with different k values" ] }, { "cell_type": "code", "execution_count": 25, "metadata": {}, "outputs": [ { "data": { "image/png": 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w2x0lGGpbmd8n4vDB9NzoXf29QjAMcOjLk68fCgHvbHJFZXZXPNiKuh09kWUX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\ncBxSXxCUTqO0nO/+6P24XXBlREkKeyQYFobLF8G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oeFreb64xDAPZplBwetHYHClAqbAilUwSUs0Q1iXjTCoGDL8/klRA1f5xDws6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\ncfnyZXi9XnGcjf9oan+pUaVSIS0tDVqtFnq9HgaDATk5OSE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spZQWiqZEnExp3lKSYNmKfL5zVx3nXmhPnJNcv8/t1rIm7RcMBse1oO90RQiU\nIGuIz0GN1kY+Fn7nim2jHtQ1/rtlAz8+/A5/7W3mupbXs0+kZAmlMOYO6zWpdCe585xYUwwRefky\nHzhhcuvBRaOkrA5etNiKYcCWRj+3fbuNvl6N+FRkNAp9vRput8Y3r23i4YccfPPaY3/bjkAgIAQq\nm5FlmUgkMtXdEIwTbi1I9ZqzCFvkARu5fWQb+Wg5vzC2uLU17KVLS02v/KB9a9aJVOlHjoOrzubB\n6EJ+xSL+lwX8Lwv4NR9IiZoCfp2d703Njd5H/60Ekwl2vDvw/tEoPPuUi+T12t+5sY3GDR6i/ZoU\nT/sdywiBynIURRERVJYQt5Mv/PYXab5iOW4tyOGwj6fcI9vIR4MMLC2sBMDQdayD0l9tmp/rWl7n\nXa9jXN5vqjEMA5PFTN3KaspqVCKYaKEIf2UpBaXmKenTnHmD3teAXTu9pFuX7e5JjY50HXbt8Cd8\nHyYFZs21HtPpvlAolBMClf0zvxlQFCWxlkBwbJNiJzfJ/MV1gO7I+E0i68RKH11feRL3dm3LeN73\nOt/iJw1nUn2MO/4MI7ZhoarKfOeueg7uDxIO6zz+GydOl05hkYynL9UbWV4uc8Y5RTz9xOhLDZlM\nDBEYswUiaX6WB94fmu3Yuzt9BmTfnqENvLM19n2QZfjG2mpuu6mNqHbsuvzEHFSWYzKZhEBlAW4t\nSEDXUr7I/+hr4Y3A+Eczv+/ZO+I5D3a+lxWVJ0z9LgNVlVm4KJ+CAoXDnbHr8vTplJXHni8tNXHN\n1yuRTTJPP+GmvNyELcl1Xmw3Ycug1+min3TiNJ7oOmz8l/eYT/cFAgFkOfuH7+y/wgyYzWYhUMc4\n8dTeY9170lYlH28+UbJgxHN2h91cd+CVY1qkDMMYMvjNqLdQUxtLs9XUmrnlu/Xcckcdd/5oJgU2\nha7Dset1OqNc/G+lidf1uqNYrQpX/r/yCe3zWMbqlWcVYOoPmEzKsblLbzgczgmBOrbi2nFEURRh\nkjjGSVcpYqI4La+cU4qquV1Zxm3tWxiuJK0bjV0BFyfbKielb+NNPMWXjKrK3HpnPYdaw8yot6Cq\n8kBabFCmKRKBoiKZvv40oKtbI6LplJaacLlGv+PxWND1mEgNLmYvyXDhhwt5/jlP4li3I8oP75/F\n9q0+liy1HXPpPRApvqxHCNSxz1JbBUqG9TrjzUpbDQB7Aj3DilOcezu2HtNbyJvSLDZSVZm581VU\nNXXYmD342Dt6AAAgAElEQVRXpbrG3P86eOL3roQ4xfn9Yy5criilZQqr1xSNe38lGW78Ti1Fxal9\nM3QoKbEMiZjsdoWzzys+JsUJYgKVCxFU9l9hBoRAHfvYFZX7Z53D6sK6CX+v+5zv8q7XwfPu1lGd\nrwPr3S0T26kJIl2KbzjiZorPX1WRdl4pGVe3hn0MTsCvXV9JQeHQviiDTX06yJLM9++bxXVra5Dj\nC3UVWHFmIT+8fxafv6rimDREpCMcDqe9icg2clagzGazEKgsoCvs53lP26S81/c638JpjD4qOnSM\nro0yDGPMg5+qyixbWZiIpGBgXihZ60wmWHqKjcrq0YmUp9fgBz+LiU5yRkuLpLZbUWlKpB5POtnG\nj36eKkjHesQ0mFAoJCKobEYIVHYwlqrkI3F58Zxxawvg5LyJNQaMBS2o494XRBtUnTzd8XRzUKMh\nHkldt7aG0jIZXYeychNXf60qcU40Cl6Pzu13x84bnKH93JfKE8ITT8fFRefuHzdQVBwTzppaM3f9\nqIErP1/O1/+7mju+PzMl9ZhtgjSYXEnxZedfbxSYzWb6+vqmuhuCo8CtBdkRGr9t2V/wjC59N1oe\n6N5JjbWABfmlI588AWhBHW9rGLVC4Y3bD+Frj2CrNXPauhkEHdqQ46ffWY/SP8gf6eCnqjKFBSZc\n3THB63ZGKbSZqKk109EeoabWnBLp3PPjBr536yH6eqNU15hZcUYRJ51SkNbAUFVt4fv3zUwxalRV\nZ/d+SJmIRCI5keLLWYGyWCxo2rFrBRbEXHzjySdK5vNA985xbfPJnv3c0C9Qbi3IVp+DpbYK7MrE\n7oSqBXU2fbsVX3sEtdxE0BmbHPK1R2i8uZWgMzrkuLc1jH1+rF9HM/jFLelxQZo9Tx3iAIyTTnRU\nVc5YfTxu1Mh1QqGQEKhsxmw2C4E6xllqq0BxSONiNb++8iROKaqmwGQZtlrEWPm3krlA6u6+JofE\nJ8vmc2Zh7YQJlbc1jK89lsKOiZFC0KmhlsX+P/i4rdZMQX0sGhmrSWIw6SzpQEZhEaIzdnJFoLI/\niZkBIVDHPnZF5QcNZ4zLl/iVfqNFe2T8qgp8rXxxIr33uqcjIaRRDH7bvZerm16hOdg7bu+XTEG9\nBVv/wtr8aoUPfKGcE6+rQjcG5pqspSZOvbmWFXfUpaT3jnQOKplMlnTB+JArKb6c/faIFF92sC/g\nHpcqEjuCPQR1jVc9h0Y+eZQ0azEXn1sL8n/d6cskrW3bNC7rpeJmh6Bbw70v1t5p62aw8P+VYxiw\n9Z5Otv/sMGHXwKcVckV5+/sdFNRbEuIUJxcGv2OZXLGZ52yKz2KxEB1p0UYO0+kJ89wuNwYGFy0s\nobpwek5Gb/OPzzyU34jys/ZtnF1Qy+Pu8XEGriqaAcTmyqLDpCHv69jGl6tOGHOR2XQmCEkBQ4P8\nGjMYBv7OgZswI83X3dceoff9IGUnDOyfdbQpPsHEEw6HUZTsH75z9lsoIqjMdHrCXPdcC+sP9PHC\nAQ/XPddCp2d61i28pGT8rOFvBZ3jJk4Ah4KxCCq54kW6xNmukHvMGx/GTRCNt7TReHNbYr7J6P9K\n+zsiKeKUjLlIRi0fuPve8WvHEPt5LtydH8tEIhEhUNmM1WoVEVQGXjk41H6f7th0YKZazFfKPjDs\nOUvzyrmqYlHCsDBZ3Nu1jc6wF7ui8r26FQDD2jn+MYbKE6kmCA1rabx0Qux/arkp8euWBmlNpE8n\naSoKf0fMwRdHRFDTn1xJ8eXst1AIVGZWzR5aK21m8fS8WwvqGo907x72nI+Xzee84nouLK4f99p9\nthHae6UvNqf1bqB7xLY6Ir5Rz0cV1Ftiabx+ZLPEiddVYu1fyBrqiRKfnDOiDAhYPyFXFIs9dizZ\nwRcnFwqRHsuEw2HM5qnZPHIyyVmBMpvNQqAyUF1o4Z7VdViSxqj7NjnZ6/BPXacy0Br2EhzGJjHf\nVEyxYgUGavf92zimBeepwy/CXZpfAYA0CmF8J9DNNU2vjkqkFFVm0RcqEo8DhzV2PdpNqL9a+OD5\nJskElpLkmkMQdsfWQp22bsYQk0QupI+OZTRNy4m/Uc4KlIighiesQ3hQPurJnT1T05lhqLcUUK0M\nTPDjD6U8vy/amzLo2xWVK8oWsHycyhB9qnwB99Sdznxr+grdDxx+j7f6OjEwRvVji2KMegGyrc6S\nmEuylpkIu5O+z4PeLOiIEu5JEvL+U4POKEFH6lzVeNjMBROLmIPKclRVRR+8eYwAgOaeID98ZWgB\n1jULinnxfTd3vtI2baIpVVa4u2ElX688EV3TIN86JFZJN+i/H/JwtJxpq2KmWsxMtZgvVixKGyN1\nRP3c27WN33bvHZUd3oTEUlvFiOdpQZ03bj8UW2xbpiBJqXcT1hIpJa1nLUn9qcefS5fegyMvdSSY\nHCKRSE6k+LJfgjOQ6xFUMKKzobmXza0+/v2EUhZUxKKQ5p4ga58fKk6fPamEB7d00R2IDbPbO9u5\n/fzaxOumElVW8Bkacv8d5WAjwuBBP6hrLCuo5O99R1d779SCaiC2zunbbY1HXc/iMvscPmhvGFV1\niRSTRPdQt16o24CknasWXVXJ7v/txt8RIb/GzLJbY/X40q2BOpJq5oLJRdM08vOn/rc30eSsQOVy\nBBWM6HzjbwdwBWKPtx8eEJvn9rjTvmZjqz8hTnH+vMPFt1dNjx/JUlsFeruGbFZQkPhe3QreDXQj\nIXFGYU1i0A/qGv/dsoEuLXDU71ljjl37SOucRkuRYh116aN4pQhfewS1TMEg2i9KMSylEopFwd8Z\nKwRbujCflXfl420NJ0RJHabSt4igpjcixZfl5LJAtfaFE+IU5w/bYy6zNcfZ074mT4pSlpf6ddnV\nGaS5Z3rsGmtXVPZ88bvof/4X9886h5lqMReVzGFNyeyUQb817B0XcYJYFYjOsJeltgpM4+AONIzR\nfx8VVea0dTNiBV+7NcLuVIEMuwzA4LRbahNljBRVxj5fHRIxDe2HkROD37GMpmlYLNNz8fx4ktMC\nZRhHf9d7LFJfZKE0L/XYDkeI5p4gM0tU7lldN+SLsd2psaRKZfXcATNABFj7fNu0WcSr9/kw3to7\nbBRSbymgUsnL+Hycz5Ys4LT8Co5T0lfVjvNK3yHsisrHxsEZ+Gj3njHV5gs6tEQ18nRVIvydGiaL\nTETp40DvSwS09NFxOoRJYnqjaVpOzEHlrEBZLJacjaBUs8yPPjKH5bWp6bkbnm/DHdCYWaJiTvPN\neLnJz4zioXdt02URryRJI950qLLC9xvOYK45vesuTq8R4Zu1p1ClDp/CjNvI86TRRxxrihoy/vCe\nczeNup2Cegt5Vf3vK8e+y9HiHqKlTiBmgFBqAjzbdC1bHA/xbNO1oxMpA/yHtFFtbiiYGnJFoHI2\njs/Ly8tZgYKYSM2vyGNz+4AbzwC2dvjIMxmE0nw0DYXw8FbnkOPpFvZOFaOJit1akP2R4UU1Xkdv\njX0Wr3k7EsfPsdXwqm/g8d/czVjlsSX4PHoko6NvjX3WqNoIaG5au7YRdNYBYEg63isfIzqrGYAP\nhL9A9exa2rU30ImZKHQ09rn/weyiVTgCO6mxLSVPSU3pakEdXTfY/aiL4rdbE+nB5P2lBm9uKJh8\nciXFl9MClaspPoDfbT3Ms3tTrdYmCRx9IZ7aPXTwbiiElkHO7LpC+NbZDdOmkOxoIigYqO4wHH1a\nmGpLrJTSPXWn85y7iQuK6umJhnirpYt5bxXx/il9NHKYRv9hVI/Mgh1FeEsidM0KolnT98OExBr7\nLDZ6O9EwUJBYW72Uf3nbWWOfxUx1+JQixMTp2aZrMb25BFs0JlBSVEF2lBE9bh8SMvutj7PT2YtN\nLkfGhN7v6Nvp/gs73X+JvcYhc2HdXZSoMxNtx0oeGUhIKZsYJrsGB29uKJh8otGoEKhsJpfnoNKJ\n0/GlJi5bXMH3Xu1M+5pDaZYNtXmYNuIEMefZaP6mq4pm8Bf3wWHP+V77m/zPnPNQZYWZajGfr1zE\nDS0b8R4OcdmPZyEhceJrpTzx9SY0i8HlP5iNKRqLo3pLwjx7besQkUq2kd8/65yU3XUXF4y89ilO\nh28ruseKqbcQQ4oiGTFLeP4/Pkzv3P0YNQ5CxOayfLqT2vxltPu3DGnHQOf5trVcUH43iqOagnpL\nYk2ULMnkVSn0HgiiVigprsFMa6cEk0c0Gs2JFF/Oxui5HEE9t3eo2ux2RflXc+Zq2rYM35RndgxN\n+U0VkiSNKm1bbSngJw1nUqdknl8KodOaVF28NeylU/OzYEtxomyRhMSJL5bSsKMgIU4AxT0W5rxd\niBJKTfxFDD1h4LArKucV16c1dET0IN3BfUT09A5JW2A2xfdej+3lDybEKdYfE8U//09ork05P504\nDVyohc23tNN4Sxsbb2ihd38QJCi93EHAGWbXI05evaaJoFvj9Dvrh2xuKJgaNE3DarVOdTcmnJz9\nluXn5+esQK1ZUJj2eFV+5sWZfXp6kXr8XTf3vtLGr9/omnI333ACFdSD7AvuJ9g/6FdbCvjP6hMz\ntlWp5FGftD9TvKSSoz5VNOZvL+akF0qHrINa+ddKLr6/PkWkdoyiYGxED/LPlhtY33YL/2y5Ia1I\nHdrahaSnT35IyBT/8ivQnX65wGBMXZWYHJVAzPX3xh3tGAZ0Ht4L0f4ddqOweV1sUfNobOqCiUfX\n9ZxI8eXsNy0X7j4y8R9LqyhLM33wp529fPyEzHMgvgzByVudQdbv75vyfaMyzUEF9SDfbr2NW9ru\n4NuttyVEqspipUzaDOynTNrMPXXLuKh4Jl+vOpHvN5yBKg+IQLyk0uoVDfQWp15jfjBWIz2Qn1rR\nobjHQs2+AUv7/rCHvYM2WHRrbl7qfQ13v7vOFXwfjxZLs3q0TlzBoftTzV02H0MeVD8vSSAlJNSX\nz4XQyANYtLKLaEVX6kEDTOF8DGnAux7pM2h7tU84+KYJuTIHlbMClQtlQobja2fUpj3e1qehZLCk\njab4zVRbztMJVGv4EO2RmPOuPdLBRs8WgnqQ1vAhuo2DwBt0GwcJ08OnKxayvLAmRZziKGGZ5iYP\nu08fatWWkdh7kpt9S1LXMVW0pt4J3Nn+bEIg3Zqba5u+yUOOh7m26Zu0+feyv/fl1L53vMeBFzoI\numOCFNGDBPPbmX1XB8FF2xLnSUgJkTIwULedQuEvvjK8SIUsmLoq8Xz+1wTOeC3pCYP8N1aiF6am\nfHc/4mTTt1uFSE0DotFoTtxk56xJIpcFqtMT5rsvtqd9bkOLL+1xE8mV3WKYiS3WTcYiSQQjOmq6\nhVQTTCaTRL1lBrXmGtojHSiYeMjxMM+6/8Znyj5JtVJFp3aYWnMN9ZYZGdvWgjqv39DCjM48SvLN\nRDGGVI84cWM5fAmM7bGdcw0M9i7rJWbgjx0J8jat4XOYr85lq287Wv+nqhHlvvbbWYSGAvQhUeTJ\nx/GDk3BGfex7xMcZP6vm1b6bExFW/kcbMHYuTsxDxUQqitR/K2HqrsDUNJPocfuGXlDIQuEDX8Hk\nrCBa7sBz5W9QN65EMmJDgizJmPqKiRb1YOorSbxMOPimB7qu54RA5WwEFQ+Pw+HpUQVhsohv5z74\nqjOZIAAUaag4QezYdSurUo79cUcP3/p7M8HI5N9lZ5qDUmWVO+tv5aqKzycEoSPSyT2dP0aSJG6u\nXcud9beiypkH3UN7+wj2b6Ge71eQZHj7LAfe/NTtPXglSP1dCtvO7uaJrzfhLQsDLwD7gb9RreQT\n1sN0hg/THelO2SeqFYV/YOVlLLyGlaY9i5Ci/QVwo/Deb5vx9AwYXPz5LfR+9X6MpFVV0qA4N/+Z\nS9JGUaZDtZicMeegyVmBddMKQgsGNn6UJRldjuD5+P/h+fyviZbHUpPCwTc9ECm+HMHvnx7bRkwW\nmVJwwWH8IpoBhWnSfjrQ5QmRZ0590umP0to3+cI/3DooVVZZWbiMWnNNyvGOSCdW2TKsOAHsDaam\n9WRdwlAk2uYPSoPl7+Cu6B1su/BhvGUbgWeAbiTe5DL7eSAZ3NF+D9e1rOUJ99MY/WuOkq4CX//P\n8rDdlRAfAwP3RivF378ePLaB02sc9F7zM4ykW4jkuSNTbwmmrso0V5T6N8trPBPr3oUY8UShJCHr\n5pjhwq/i+cKvMP/neuHgmybouo6qZn8Um/PftFwTqExVH6IjGBo9GZ5//F03gUjqk+X5JuqLJv/u\nbqSFuvFI6pbatVQrscivXCmjQilLOS9dSZ+lH6iktzRVdE9+uYymE/wpcz/vnbeRKFFiyZeDQCjx\n3BPup+mMDDIkMNjgADZ0ijvK+cijn0VCThExyVCwrj8vNSqqceC98rcDbRimhEhFK7qIVg59z+iM\nQ0QLUzeglAwTujkIGJgkub8/EoW//w8Kf/VF6uceh6LKI9rgBROPEKgcIRQKjXxSFlFdaOEnaxrS\nPmdLe3SA48pGnrK89Hg7P/jwzCmZgxpdLT6VRfkL+U7djZSbynBq3dx+6J6EcSFe0qfxljZevfEA\n3v4bmLKCfM68u5aOOQODvYTEnB1FPPH1pv6U3ut4y2ImiRBj/17JyHy39iZuqvwq5204LWW9VTJ5\nW5dT+POYAULCRF3+Cs494wtYknRWMkz4PvYknqsfBGtMWE30Ly/oN0f41/xtSB9MkZjrUJJSU4Wm\n7goCTSY84c6EDf5vB77Bxo6f0RNsHvO1Co4OYTPPASRJyrkICmIiVZXGI+IDzp6ZudL3njQb4w1m\nb3dgSsQJRl9JAsChdeOMxtYlJTv7kkv6RDrgh289mBAvv6Wbxg9vTomYdpzRg7csyrYLXRhlacwI\nI2BhYJDR0WmOdIDhp/eMDSmRVfK/AUyuChb5vswls37OmbXXYVIlur54F1G7C4hFTpHF7yXECSCK\nP2aOePBqCv/navL/toZoYfriscFzXiK0ZFvKsb19f+dvLd9ImDQCuGjxbeD5trVCpCYZwzBEBJXt\nSJJEIDA+ewMdSzT3BAkNtt8BBcBrzUf3eexwhHAHRhayiWC0lSRgwNkHJJx9N7Z+h5aygyg1MTFw\nVzjZV7orIV71lhlY61z85ZoD7D2pl2euaeFTJzQQN0D4SO+MTNtXJIopJpxkV5GRyZfyKMlbhK3G\nyY5VL6ecP3iv4J7H6zBrsZTtprZfQKEPz3/ej+fLD6ZETgNEUxbmmvrsmDx2ogU9QwTQ9toHCSzf\nmDBHRMsdRGe0pxgyktnhemrU1y44enIlxZezNnOIDWjBYG7l0TNt6W4D0hU6spnAl87CByybkceW\nQ0MF7acbDrHugplpXjGxjLZYLAzMR230bOEhx8NAzDBxp+se6r5Sh63Tzv6yPWDVE7b0L1R8ltvr\nv8mBisM4F1v4TMEi/trzF+CNMffVwKCXgTVTBbINr+7jJ10/p1qp4taGH3Ng9Rs4XtXBiN9Hpqb6\n/J0RXLsClJxooo/+v6k1TLQ+9m8ZFZ3U73c030tU9WEKDiR0Td4SPKufIW/D2SjeWAUKRVIoeG01\nni/8CpO7JDaPlRC8oWLZ5t/C6+0/YVHppSnFZwUTg2EYwmae7eRiBJVpS/f0q5/g3xeXsKQy/Q9h\ny6EAZWme2ulME55NAmMRKMjs7GuT27ji1DV8vu7KFFv6d9vv4fZD9/CB/JlcaI/t1DtPnXvU/S41\nleLVB/4CndphnLqXU2ZfxOl3NwzWpRR2/Oow699fR7qFAIPFCY+N4p9elyJOcQqevzghTgCSJKPs\nmUvpo/81SJwgLk4zbeekvFubv1Gk+yYJwzDIyxt5481jnZwWKFmWc06gMm3pnonfbOuhqiDzZGx3\nGi/Ah+cVDD04CYxVoCC9s6/WXMNcdXZa8UqerwrqQQpMBZRGyihvrUUJHVl16c+Wf4Iac3XicbVS\nlVg0XDxT5cwfN2ApTl/HI9St4zs0urSmec9xiXVVgxlsxDD1myT0w7YMNnVwhw4OWXcFsMf93Kj6\nIzhyckWgcjrFJ8tyzi3UjW/pni7NVyCBN834vv5Amr02MvDBOTY+e2r1yCdOAGOZg0om7uy7u+E2\nWsOHqLfMSKyLurP+VvYHD/LLrkfp1A6nVKKI6lFcfjeXPPhFihxluCuc/PXqX6NZxxZB/tb5R/5f\nxZVIkoFZsjJPnZ2yLksr92Pc3kbDlrm0/C7V1KPWgDvFRm6BIcuwY0RmH0hY1oeuv4oRn4vSK1zg\nKc1oUwfo1VoAWFC0hr19A6JUlbeYiB7E3H8NET1IX7iVIkt94pjg6MiVFF9OC1QuzkFBTKQuPb5o\nyMaERfky3kwVYfspVqB3GA/E2XNLMj85wciyjKYduUFDlVXmD0rZJYvX4PkqgPKuWoocMX+33VGO\nvasCZ/3ozRIAjqiT73f+mFpzzZCKFvF6fRpRaq2zuZD/SDy38aK/0XtKM6eZw0k/5Mw3XCZ/QUbr\nepz4cd/nH0UJ1qVJ7w0lqPWyuu4edvU8gzO0h82On7PTXcOF9XcB8M/WG/FEOig0x44JkTp6DMPI\niXJtOZ/iy0WBAvj4SZWc1ZCaImgfQZwgJk6PXjaHr51envb5H7w0NDKbLI40ghoNg+erik0x95y7\n0oG7IrYnVl+FC3elI2MbI9Ee6WBXYHdKdfPken1dM9rw9bvq3OVODpz8LofN3fSNqowv1M6aS7Si\n35VX5kBXhy6xMEwxgVfyIjGzxQjiBHDIv5USdSZzi8/Dr8U+C0+kA1dwP67gfjz9hXrjxwTjg4ig\nspxcFiiAa1bO4IPz/Ty5s4em7gDuQWPRojITO7qHTr5f/dQBHrx0Dl87He7blLphYW8Ufr7xENes\nzFx4daI4kjmosaDKKutmrOXm1jtwRrsxYUKzRvjr1b/G3lWBu9Ix5vReMqWmEu7tuA8dA8VhYl3t\nDewLDKyt0qwRnvrKw5R0ldNT6USzRrCgY0lbKXEordFX4epNmA7Vkv/0R5GD+QMpP1nDf+E/iJz4\nLjwOyMM4MwYxw3Zy/79SP/vOwE6scupNUEjzcqD3JWpsS8lTxjYfKkhFRFBZjslkyrlKEoNZUJHP\nDefMwEgzHu3ojjKzaOgTQR3eaPNw+kw75jSv+1fL1BhPJlqgIHWBbzReidwawVnfflTiVCjZcEV7\n0PsHeY0o69q/x8vef6Wcp1kjOOo7aLD6AIMwMi9iHezXy4w1DGYNU3esUKyERODsl+m9/l4iZzZC\nYcxNKA8zMuRJqdHzyRVXAlCqzsNmGti6flfPE2zr/i3xYcZmqqCx66dscTzEs03XEtDSO0oFwxPP\nEgiBynJyPYJK5nNL06fsmvvSD/jbOvw8s8NJJM3Tg1OHk8VkCFTyAt/B5HPkA4bHyGT0T88BzMT9\n5wYSnWP4KSdvUhit6CJ0zr8SwhRHVjK3FzBcnFN9E7MKzmZ13T2JSMgsqxxXclGaV+gsq7iK40ou\nQu8XdR2NDt/WUfdZMEB8nlVRsj8Blv1XOAwighrg9Jl2/rHHzR7X6EwGRRaJx98degd8VkPelKT3\nYGyljo6UuC092dlXppTyhfLP0hxq4Q89T0zo+w8QXywb8+RVZ6jwkBZrGM/VD2LqqsxoghguggKd\nVzu/B0CzdwOXzPo5iqzS4X0Hd6gVCVNKdXUwYZGKqbHNZZvzMXQ0ZBRqbEtH32dBglwqz5bzAhWJ\nTM2i0unI50+rTms/T6Y8D64/u45169Ofd9HCsrTHJ4OJNEkkk8mWPkedyZ97/pJI/Y0XFxd/mOd6\nn0cfIkIxkTqHEGP2xSVVnEgm/vnJwytUAoMoe3r+Tqt3I77ogEFkkf0ydN1gV9+TQJTXu+7lnOqb\nuHjW/XT4too5qKMglwQqp1N8IoJKJb5GqnyYDJ0zEDvvskXpB5e1z7fR3DM1adPJSPElE7elq7KK\nW3Oz1bedNcUfOup2beSn2MCf7f17GnGKI+Eex5+xrqX7/CTKzAsyvmZ379Mp4gQx4eoKvZty7L2e\nP5Kn2JlTfJ4Qp6Mgl8YsIVA59MceDTNLVO7/6Dx+/4l5acsYAXzlife5ZFE5p9WmV7JM5ZQmGkka\nvfNsPImvVXrI8TDP9B59FQUf/iHFWwcjJ9YzGdQgYSV1wF9W9pUjem9dH/y+CiDRHdk7pnZKLfM5\noeSKlGODHwuODL/fP2Xf9ckmp1N8iqLkXCWJsfDzS+fxid+/P+R4T39W9AunVfHG001Dnh9rOaXx\nYrIjKIDmYAu/cvxvYq3SZCAjc1fdd9gd2EE1URYUntk/B7SN7tD7zCu+gB2uJ4+o7aEZ0iNb+Px6\n172srruHc6pv4r2eP3JCyRXUFCw+orYEqQQCgZwRqJyPoIRAZaa5J8is4qH3MCX9JefseQoPfnQW\n80tiC0Ur8+Ce1XXMLJmaSgGTYZJIpjnYwtq2dewLDRXx8URC4tKiixOP4+m+1SUf5sSSi8hT7Jhl\nlYaiFZxc8WkKLdUcZ19zRO+lR8dvDm+P+zlqChbzwfo7hDiNI6FQKGcESkRQQqDSkmlbjhIzPHDZ\nvMRje57CHatnT2bXMjLZAvWc+/kJaXeh+TgiaLwfiVVdMDB4qu/ZIe/91eovDXmt5nbj276VwiVL\nWV13D3vcz3GcfQ09gSa2dD8w4nvr/YGgZEh8oHMFB2bsJqAnbw0/dKuNTBypSAqGJxgMCoHKBRRF\nES6+DGSaR7rrI7MmtyNjYLJcfHHW2FfzmndD4rGCaVxSfbsie0b13nGagy08536eDykr0dfeBVEN\nB1D+la+xMHQ8tiXF9Mhp+hVzqQ8QhXmPxMRn8Y8NLP5NzC+A979Ril93ka8V4Ve8ZBKo1XX3ACRE\nUewLNTEEAoFRuyyPdXLjKjMgBCozmeaRHn7j8CT3ZPRM9hzUTLWBm6qvTzyerHmom6qvZ0awiN7X\nXmLvgUbWtq7jNe8Gvt1zLx0lA3NGzgfuw/HwQzR946uU9lSkbo0Rhbq/MLCNVBSO/yWoztjnZ+l3\nMp5PQe0AACAASURBVFu8sOzdszj+NybK/tkHw6y3OtyxhRJ1JiuqvyrEaQLJpRRfzguUSPGlZ2aJ\nmrYixJb2AM/scKZ5xdQzFT9aR3/Zo4lAGZzgMOAK6UPM3h+i6ZvX4Hj4IZ7cev9AFCTBhhVpkiK6\njvO2u1hTeicnFn2chcFVnPSbYqp3wJL7YOazsf8XOEkr8N6nnqagNUrJbtLtixh7aw30HzxBsEVs\nVjjRBINBEUHlAmazWURQw5CpIsQTO6ZnDbWpcPEttS1BzvAzsjF059qxoA120EnwR/3v7Puf70M0\nphRnNGoQv2bDiD1Oh6Gjvb2b/B+9hu0Hr6C09yLl27D4oeKdgYhJG+bzs/hh0QNgStoezOyE+r/B\n4p+CxQdtt96I5p6e349sIZcEKqfnoIRAjcynFtuHlDTKtEh3qjGZTJMuUHbFzi9m/YgNnkZaQ4d4\nJam4q4+x1dcbFZLEnvkyp74TS7XVOOGa/wmxYYXCGY0aNcMEt+aySiKdHYnHhn9o/4b7/OTCIvLc\nfSz5Bfj6yxHaOsCU/BMydHzbt1J89nljuizB6AmHwzmT4st5gfL5JmAQySIuWRQrIvv4u24k4JOL\n7Ylj043JNknEsSt21pR8iKAe5L3AzkS184nApBkcty/1Gmuc8O9/HWG9kiQTNXQkNQ8jmLna/HAL\nhHVPbINLUwSKWjJ1UMG2RNTYm0hCoRAm0+j2ADvWyXmBOpodWHOFSxaVT1tRSmYqUnzJqLLKd+tv\n4ea2O3Bq3VixEmKcKpXoBh89OJvjn95NYbpSbJI0kOoD5JJS9B7XwPOGTtd9947wJhJaUiUJqaAQ\nw9ufz5NNKCUlaN2ZQzTrcQsp+/dPotinZ4SdLYgUX44gBCq7mA5pD7ti578qr+bJnmc5UT2B3/Q8\nfvSNagbX/CpEjXN3xlPqbrub4L49yEVFgETXgz8d23vIMvnLV6L/4+8Jz4Xh9VB8yaVYyiuwzppL\n23e+PWwToT27aP/eOmpvup38+Zlr9wmOjnA4LAQqFxAClV1MdQQFsTVJ69pjW1FsC2w/8oYMqGnV\nmNukc8abevqoaRD28y8EoPe1lxImikxUX38T0W4H5po6On/2A/S+PvybXh+S4ut95inqbr+HUNP+\ngVW8I9B+563M+vEDIpKaIHIpxZcbMpwBi8UiTBJZxFSYJAYzXtUlZN3gM3/W+NBroxOnQ9//Lt4d\nserhtiVLh27olPS4+vqbKFi0mOKzz0OWJfS+vsRz0SHFYqHnb8/E2hztoGgY9DVuGPk8wRERDoeF\nQOUCFouF6Ah3moJjh+kQQSVXeBgOieHTkbop5tYbLYbXQ+e936PzkV8CUPedu0Dqf71Joe47d1Hx\n+auY9ZMHKVg0UBfPMqMec/XADsHpTBK+d98BoPq/vjnq/rh+/5hYEzVBCIHKESwWi0jxZRHTQaBm\nqg18sfSzI5430nYa6dx6o8H76os0feOrKEXFzPrxL2Ki9MP7URtmUnz2eUPSbrKqUv+du6i65joA\n9HSfn89L2+03oc6cg1JVnTgs2UuG7Uvbd8SaqIlACFSOYLVahUBlEdNBoAD2ho+8urlsyKx5o5Ab\n188fVWovLbqO86k/odjtWGfNxfmnx4eNZmRVRQ/E3ixqkDa201zdaN0OGm67m9q1N1O79hbKLv7Y\niP3wbd96hBchyEQoFEJRcsM+kBtXmQGz2Twl62YEE8NkVzPPxOAissmUmUoJ6xE8hifleL4PztgU\nZul2nUK/H3Ckff1o8b76Iq5Zs3H95lexxxteQ2mYhVJaSvm/fRy1IbVWnm3JUhwmBd3QQYrNU3X+\n7EfQv2bKXF2DZUY9sqqSv/AEACw1M3A+/hhEYzd5pZ/9Ioa7h55nn4ptLJW0Jirs7aS39QVU+zys\nhbMI9OzEVrEURR2dkUILuvE5to7pNdmKpmk5E0FJxnT4RU8RN954I48++igdHR0jnyyY9nzpS1/i\npZdeYv/+/VPdFfb693FXxw8JGEEAKk0VfLnq88xVZxPUg3y79XZc0dg6pWK3ztUPh488YjoCyr/y\nNezLT085prndvPL737H6mv8iGo2iB4MED74PSKiz5yKrasq5vu1bMax5OB+4L3G8+vqbUGfU49u+\nFduSpSh2O2FvJy2vX5emFzJ1p9+FWjy0sKwWdOPp2ICBQX7pYtoabwJDG/Y1ucInPvEJ3n33XXbs\n2DHVXZlwcjqCslqtwiSRRUwHF1+cBfnzeWD2T9gfPIgBzFNno8qxAV6VVb5a9SW+2x7bnqLXLuO2\nSxT6J6/vzgfuQ62pTYmkFLsd24lLE+vJkqOlZDS3m6ZvXhuLnAatPeu893vM+smDKaWO+g69kqEX\nOm2bbqDu9LtTBEcLuml65avEK6e7Uvag0mnbdCO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REp9/eHbxf+ONNzh27BgtLS2EhYUx\ne/Zsfve732kqlK4mAaXXq+IZlMvl4m9/+5vPzgyeZoa8vDx+/vOf89RTT5GcrN1NMsXdJzOo8WO1\nWnn99dfZu3cv5eXluN1u0tPTWb58OT/+8Y/JzMz09xD9TvMBZTAY/DKDamlpYfv27ezfv59z587R\n2tqKXq8nMTGRefPmsXHjRr73ve9JM4MYVzKDunucTifvvvsu27dv5/Tp0/T09BATE8OCBQv47W9/\ny2OPPSbVkGtoPqDGawZVWFjI9u3bOXr0KOXl5djtdsLDw8nOzmbVqlUUFBSMegW+EHeLNEmMrcLC\nQjZv3synn35KQ0MDQUFB5OXl8Ytf/IIf/ehH8rx4BBJQej2Dg4Nj+nfa7XbvzgynT5/2aWaYNWsW\na9asYfny5fKfU6iO2+2Wu/g70NbWxh//+Ed27drFxYsXGRwcZPr06SxdupT169dLR+0t0nxAGQyG\nO55BlZeXs3XrVg4dOkRxcTFdXV0+zQzLly9n0aJF8sIXqufZRUGMjqIo7Nq1iz//+c+cOHGCjo4O\nIiIimDdvHn/6058oKCjQzNEYd4ME1C0GlMvl4pNPPmHnzp18+eWXWK1WnE4n0dHR5OXl8eKLL7Jy\n5UppZhATkjRJjOzSpUts2rSJv/71r1RXV6PT6cjOzmbNmjVs2LDhltZCiZvTfEAFBgbeNKA8zQz7\n9u3j3LlztLW1odfrsVgs3H///fz617/m8ccfl7skMSlIQF2vt7eXd955h/fff5+zZ89it9sxm808\n9NBDbNmyhSVLlvh7iJOW5gPKYDB4n0EpikJhYSE7duzg6NGjVFRU+DQzrF69mhUrVjBz5kw/j1qI\nu0O6+IZ9+umnvPHGGxw9ehSbzUZoaCgzZ87kN7/5Dc8++6xmdnLwN80HVEBAAF988QUxMTFcvnwZ\nt9tNQkICs2bNYu3atRQUFGAymfw9TCHGhVZnUPX19d41SaWlpSiKQmpqKt///vdZv349M2bM8PcQ\nNSnA7Xa7/T0Ifzp+/DgLFy4kICAAt9vtc3aMZ0diz7kxnoPQUlNTycrKYsaMGdKJJyaVn/zkJ+zZ\ns4fa2lp/D+WucrlcvPfee2zbto2TJ0/S3d1NdHQ08+fPZ/Xq1TzxxBPS1KQCmp9BPfjggz5rPxwO\nBxUVFZSUlFBVVUVNTQ2NjY3YbDZqamrYv3+/d0diT8eTwWAgJCSE8PBwn5M9LRaLdxfinJwckpOT\n5T+9ULXJfL9aVFTEpk2bOHjwIHV1dQQGBpKbm8uLL77I2rVriY2N9fcQxTU0H1DXMhqNoz47RlEU\n6uvruXTpEpWVlVRXV1NfX09TUxPFxcUcP36cnp4eHA6H9zmXTqfzbq0fGRlJdHQ0U6dOJTExkeTk\nZNLT08nKyiInJ0d2kRDjTlGUSXMT1dHRwZYtW/joo4+4cOECTqeTxMRElixZwrp160Z9lIbwHwmo\nO6DT6UhKSiIpKWlU13d2dnLp0iXKy8t9jqtubGzk66+/pru723uq59WlRs+JnlFRUcTHx3sPPktL\nSyMzM5N77rlH7v7EmJjIO0koisLevXt55513+OKLL2hvb2fKlCnMmTOH1157jVWrVkm37QSj+WdQ\nauV0OikvL6esrIyKigpqa2upr6+nubmZtrY27+FnDofDp9RoNBp9So1Tp071OcVzxowZpKamTpq7\nZDG21q5dy4EDB6iurvb3UEalvLycTZs2sW/fPqqqqgDIzMzkscceY8OGDbIecYKTGZRKBQUFkZub\nS25u7ojXek7zLC0tpaysjJqaGurq6rDZbJSWlvLVV1/R09NDf38/LpfLu52N52hqT6kxPj6exMRE\nkpKSSE9PJzs7m5ycHE1u869Vai/xORwO3n77bd5//32Kioro6+sjPj6ehQsX8uqrr5Kfn6/q8Ytb\nIwE1CVx9mudoFg12d3dTWlpKaWmpT6mxubmZS5cu0dXVhd1ux+l0oiiK91jqq0uNcXFx3lKjpxHk\nnnvuwWw2j8NnLO4WNZb4Pv/8c7Zs2cKRI0ew2WwYjUbuvfdeNm7cyHPPPUdERIS/hyjuEinxiZty\nuVxUVlZSUlLiPZq6oaEBm81Ge3s7nZ2d9Pb2MjAwgMvlAoZLjcHBwd5SY0xMDGazmcTERG+pMScn\nh/T0dAwGuUdSk2eeeYZjx45RXl7utzHYbDZef/11Pv74Y0pKSnC5XKSkpJCfn8+6deu49957/TY2\nMb7k3UHclMFguOGx1NdSFIWWlhaKi4upqKigurqauro6mpqaKC8v5+TJk95S4+DgoLfU6FlzdnWp\n0bPmLC0tjezsbGbMmCGr98eBZ8Y8nlwuF3/5y1/YunUrhYWFdHZ2YjKZeOCBB3jppZd48skn5UZG\no+S7LsaMTqfDbDZjNptZvHjxiNf39vZSUlJCeXk5lZWV1NbW0tDQQEtLC6Wlpd5S48DAgE+p0Wg0\n+pQazWaztxEkKyuL7Oxspk2bJs8ibsN4FVTOnz/Ppk2bOHDgAFarFYPBwIwZM3jhhRdYu3atlIoF\nIAEl/Cg8PJw5c+aM6owcl8tFdXU1paWlVFRUYLVaqauro7m5mTNnznDkyBF6e3txOBzeUqNer8do\nNHrXnHm6Gi0WC0lJSWRkZJCVlUVmZqa0H19xt86D6u7uZsuWLezcuZPz588zMDBAQkICixYtYuvW\nrSxYsGDM/00x8UlAiQnBYDCQmZlJZmbmqK5vaWmhpKSEsrIyn1JjVVUVf//73+np6cFut39rqXHK\nlCnExMT4bG/lWXOWm5s7qR/Kj9VmsYqi8Mknn/DWW29x7NgxWltbCQsL47777uP3v/89P/zhD2Uh\nuhiRBJSYlOLj44mPj+c73/nOiNfa7XbKysq8XY1Wq5WGhgaam5upqKjwrjnzlBoBb1djeHg4UVFR\nxMbGkpCQ4N3eyrPmzGKxTKhS452U+Kqrq3nttdfYv3+/t8kiPT2dlStXsmHDBtLT08dqmEIjpItP\niFugKApWq/W67a1sNhttbW3erkbPmjMYLjV6trcymUxER0djNpuZNm0aKSkppKWlkZOTQ1ZWlt9L\njQUFBZw/f56LFy+OeK3D4eDdd99lx44dnD59mt7eXmJjY1mwYAFPP/00jz766IQKZ6E+MoMS4hbo\ndDpSU1NJTU0d1fVtbW3eRpCqqirq6upobGzEarVy5swZb6nR6XRet5N+RESEz/ZW47GT/kglvhMn\nTrB582YOHz5MY2MjwcHB5OXl8fLLL7NmzRo5mkaMKZlBCaESDoeDsrIyn+2tPKXG9vZ2n1LjjXbS\nj4uL89ne6lZ30l+2bBklJSV8/fXXwPCzvM2bN7Nnzx6Ki4sZHBwkKSmJpUuXsm7dOmbPnn1XvyZC\n2ySghJiAFEWhrq7OOzvzdDXabDZaW1vp7Oy84U764eHhREREEBMTQ3x8vLerMT09nS1btlBeXk5e\nXh5fffUVly9fJjIyknnz5rFq1SqWL18ua5LEuJGAEkIDOjo6vHs1VldXY7VaaWpqoqWlhY6ODu9O\n+g6Hg8DAQLKzs/nud7/LunXrsFgs/h6+0CgJKCGEEKokLTZCCCFUSQJKCCGEKklACSGEUCUJKCGE\nEKokASWEEEKVJKCEEEKokgSUEEIIVZKAEkIIoUoSUEIIIVRJAkoIIYQqSUAJIYRQJQkoIYQQKRJk\n4AAAAP1JREFUqiQBJYQQQpUkoIQQQqiSBJQQQghVkoASQgihShJQQgghVEkCSgghhCpJQAkhhFAl\nCSghhBCqJAElhBBClSSghBBCqJIElBBCCFWSgBJCCKFKElBCCCFUSQJKCCGEKklACSGEUCUJKCGE\nEKokASWEEEKVJKCEEEKokgSUEEIIVZKAEkIIoUoSUEIIIVRJAkoIIYQqSUAJIYRQJQkoIYQQqiQB\nJYQQQpUkoIQQQqiSBJQQQghVkoASQgihShJQQgghVEkCSgghhCpJQAkhhFAlCSghhBCqJAElhBBC\nlSSghBBCqJIElBBCCFWSgBJCCKFKElBCCCFU6f8Dipa3DoHQ8i4AAAAASUVORK5CYII=\n", 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EaDSKCCoHSURQYTWGbdBGrg7zV28KHpxQmxaM1Jlze2xDspqpv/NThPd3I/3f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\nd3ArVERRROTaAFFCriST+2UScp1MJpPnOX+EGRh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SjaACehBbv41cTxod2ew7PqY2s1CoNBdM2DlOR2SLmaqHbyFwtBn5H9+DcZU6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\nmM/S87OglMjgR1wGcGuHn8IsInV14oY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x7dGVRE2+hpib5qDX61BcZ+4t9VxgN/PmLX/r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\nAABJRU5ErkJggg==\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "for k in ks:\n", " geo_ica.plot(n_clusters=k, title='k=' + str(k))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### t-SNE projection with different k values" ] }, { "cell_type": "code", "execution_count": 24, "metadata": {}, "outputs": [ { "data": { "image/png": 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TdA5Ly/+ASTETMFgxEAebDiNH+SAO3j7ccXC7k08EEequxWPpihK8to69pkqR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\nLBZ2nI3taGpbqTE0NBSRkZGIioqCQqFAYmIixowZ4zZnzxDul/hMJhP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sWnwaX63Ff05QrUoiXM1qsFNuUopP7b7DZZKofXgLnkNV6ObMpXjDxrDn2XZV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\naFBXV4fGxka0traio6MDJlPXMRV8Ph+urq5sqdHPzw8SiQTBwcFsqTE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Ls6LU2XIU9V+tR9LYa6FOmYzOi3uhyV+Brot7uWPrKtZwlvDeei32/7oS1z4j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\n2+G0zOvzgCvPCkVKUxT4n7m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bUap/C+BW6KSjVP8JynU3eoy6WAwVNTCXDfSkM0qnRk3l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\nvAm9Xg93d3dERETgqaeewoIFC5CUlDQgJf2O9pdmzu77uTb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+K5H6mSSqTu4PO1lcEqXm4/uo+Nv9pBddjCVnKs1H3sd6zpW0fPN+78Gyk88A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\n1lJjUFAQQkNDERYWBrlcjtjYWIwePdppzp4h3C/xGY1G/Otf/8L+/ft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i1HF8L3WVj5A+81pM+TPo+HIr5kuWcf7wVvnaQSefDneDhapHdjL3aZ/Frtmn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\nAElFTkSuQmCC\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "for k in ks:\n", " geo_tsne.plot(n_clusters=k, title='k=' + str(k))" ] } ], "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": "2.7.11" } }, "nbformat": 4, "nbformat_minor": 1 }