{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "\n", "***\n", "***\n", "# t-distributed Stochastic Neighbor Embedding\n", "\n", "***\n", "***\n", "\n", "t-SNE [1] is a tool to visualize high-dimensional data. It converts similarities between data points to joint probabilities and tries to minimize the Kullback-Leibler divergence between the joint probabilities of the low-dimensional embedding and the high-dimensional data. t-SNE has a cost function that is not convex, i.e. with different initializations we can get different results.\n", "\n", "It is highly recommended to use another dimensionality reduction method (e.g. PCA for dense data or TruncatedSVD for sparse data) to reduce the number of dimensions to a reasonable amount (e.g. 50) if the number of features is very high. This will suppress some noise and speed up the computation of pairwise distances between samples. For more tips see Laurens van der Maaten’s FAQ [2].\n", "\n", "http://scikit-learn.org/stable/modules/manifold.html#t-sne" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Manifold learning on handwritten digits" ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "ExecuteTime": { "end_time": "2017-05-28T11:08:14.385821", "start_time": "2017-05-28T11:08:13.329522" }, "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Automatically created module for IPython interactive environment\n" ] } ], "source": [ "# Authors: Fabian Pedregosa \n", "# Olivier Grisel \n", "# Mathieu Blondel \n", "# Gael Varoquaux\n", "# License: BSD 3 clause (C) INRIA 2011\n", "# http://scikit-learn.org/stable/auto_examples/manifold/plot_lle_digits.html\n", "\n", "print(__doc__)\n", "from time import time\n", "\n", "import numpy as np\n", "%matplotlib inline\n", "import matplotlib.pyplot as plt\n", "from matplotlib import offsetbox\n", "from sklearn import (manifold, datasets, decomposition, ensemble,\n", " discriminant_analysis, random_projection)" ] }, { "cell_type": "code", "execution_count": 22, "metadata": { "ExecuteTime": { "end_time": "2017-05-28T11:13:25.513949", "start_time": "2017-05-28T11:13:25.400492" }, "collapsed": true }, "outputs": [], "source": [ "digits = datasets.load_digits(n_class=6)\n", "X = digits.data\n", "y = digits.target\n", "n_samples, n_features = X.shape\n", "n_neighbors = 30" ] }, { "cell_type": "code", "execution_count": 23, "metadata": { "ExecuteTime": { "end_time": "2017-05-28T11:13:26.291142", "start_time": "2017-05-28T11:13:26.285233" }, "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "array([[ 0., 0., 5., ..., 0., 0., 0.],\n", " [ 0., 0., 0., ..., 10., 0., 0.],\n", " [ 0., 0., 0., ..., 16., 9., 0.],\n", " ..., \n", " [ 0., 0., 0., ..., 9., 0., 0.],\n", " [ 0., 0., 0., ..., 4., 0., 0.],\n", " [ 0., 0., 6., ..., 6., 0., 0.]])" ] }, "execution_count": 23, "metadata": {}, "output_type": "execute_result" } ], "source": [ "X" ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "ExecuteTime": { "end_time": "2017-05-28T11:08:55.759622", "start_time": "2017-05-28T11:08:55.742246" }, "collapsed": true }, "outputs": [], "source": [ "#----------------------------------------------------------------------\n", "# Scale and visualize the embedding vectors\n", "def plot_embedding(X, title=None):\n", " x_min, x_max = np.min(X, 0), np.max(X, 0)\n", " X = (X - x_min) / (x_max - x_min)\n", "\n", " plt.figure()\n", " ax = plt.subplot(111)\n", " for i in range(X.shape[0]):\n", " plt.text(X[i, 0], X[i, 1], str(digits.target[i]),\n", " color=plt.cm.Set1(y[i] / 10.),\n", " fontdict={'weight': 'bold', 'size': 9})\n", "\n", " if hasattr(offsetbox, 'AnnotationBbox'):\n", " # only print thumbnails with matplotlib > 1.0\n", " shown_images = np.array([[1., 1.]]) # just something big\n", " for i in range(digits.data.shape[0]):\n", " dist = np.sum((X[i] - shown_images) ** 2, 1)\n", " if np.min(dist) < 4e-3:\n", " # don't show points that are too close\n", " continue\n", " shown_images = np.r_[shown_images, [X[i]]]\n", " imagebox = offsetbox.AnnotationBbox(\n", " offsetbox.OffsetImage(digits.images[i], cmap=plt.cm.gray_r),\n", " X[i])\n", " ax.add_artist(imagebox)\n", " plt.xticks([]), plt.yticks([])\n", " if title is not None:\n", " plt.title(title)\n" ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "ExecuteTime": { "end_time": "2017-05-28T11:09:03.257076", "start_time": "2017-05-28T11:09:03.085972" }, "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 5, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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v1xtFIiMjmTBhAhEREX2qUG4V3DbMLy8vj71799LY2IirqystLS14e3vj6OjI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69etUVVXh5+fHvHnzFO93R0cHR44cwdXVldTU1GEHyLe2trJv3z7GjBnD+PHjFe2exGM4deoU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\neHp6kp+fT2VlJU1NTdj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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "#----------------------------------------------------------------------\n", "# Plot images of the digits\n", "n_img_per_row = 20\n", "img = np.zeros((10 * n_img_per_row, 10 * n_img_per_row))\n", "for i in range(n_img_per_row):\n", " ix = 10 * i + 1\n", " for j in range(n_img_per_row):\n", " iy = 10 * j + 1\n", " img[ix:ix + 8, iy:iy + 8] = X[i * n_img_per_row + j].reshape((8, 8))\n", "\n", "plt.imshow(img, cmap=plt.cm.binary)\n", "plt.xticks([])\n", "plt.yticks([])\n", "plt.title('A selection from the 64-dimensional digits dataset')\n" ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "ExecuteTime": { "end_time": "2017-05-28T11:09:25.529828", "start_time": "2017-05-28T11:09:22.620951" }, "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Computing random projection\n" ] }, { "data": { "image/png": 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8LztjLU9O/UlAQAB+fn6EhIQQGBhIbGys7hFCunvwUiM5OZmwsDDb3KArnXGi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\nq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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "#----------------------------------------------------------------------\n", "# Random 2D projection using a random unitary matrix\n", "print(\"Computing random projection\")\n", "rp = random_projection.SparseRandomProjection(n_components=2, random_state=42)\n", "X_projected = rp.fit_transform(X)\n", "plot_embedding(X_projected, \"Random Projection of the digits\")\n", "\n" ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "ExecuteTime": { "end_time": "2017-05-28T11:09:37.661822", "start_time": "2017-05-28T11:09:34.677724" }, "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Computing PCA projection\n" ] }, { "data": { "image/png": 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TLEmOF+qqdrHyYSUg1+RXHkaEdO1a40/L17Dts418/s5c1r7wDls/3ej1mNzcXCZMmIDF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\nPbS7lsa9Vhr3ttc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PHTqmGdLd3cNBjCU4svYDzeQsNFR5AIuLi5k+fXpAdWoLdq7QpqXx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\nR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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "#----------------------------------------------------------------------\n", "# Projection on to the first 2 principal components\n", "\n", "print(\"Computing PCA projection\")\n", "t0 = time()\n", "X_pca = decomposition.TruncatedSVD(n_components=2).fit_transform(X)\n", "plot_embedding(X_pca,\n", " \"Principal Components projection of the digits (time %.2fs)\" %\n", " (time() - t0))\n" ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "ExecuteTime": { "end_time": "2017-05-28T11:09:53.189115", "start_time": "2017-05-28T11:09:50.125566" }, "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Computing Linear Discriminant Analysis projection\n" ] }, { "data": { "image/png": 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OYK05i11KahrqeG+H+13ZpEmTKC9Xojuys7O1BCVXuQTjB49iZe6X9OkeRmnl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8AAAA\nwElEQVQySYvHlki8CWqMZcyjRCMqKkqXz4Ne7YwmDQ0NA3oP+/fv7+N+CJZUEu7XRzJwAvqMJRJJ\n6PhaYxFCUF1dzdKlS3E4HJhMJlauXMnatWv9zpAH42+UhD/SZyyRDCOKomCz2YiJiSE2Nhaj0YjT\n6ZRVniWnII2xRDLMKIpCfn4+CQkJbNy4kYqKCumGkJyCdFNIJDqhVyiodFOcnsiZsUQikYwBpDGW\nSCSSMYA0xhKJRDIGkMZYIpFIxgD/HzaawTPZQb3hAAAAAElFTkSuQmCC\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "\n", "#----------------------------------------------------------------------\n", "# Projection on to the first 2 linear discriminant components\n", "\n", "print(\"Computing Linear Discriminant Analysis projection\")\n", "X2 = X.copy()\n", "X2.flat[::X.shape[1] + 1] += 0.01 # Make X invertible\n", "t0 = time()\n", "X_lda = discriminant_analysis.LinearDiscriminantAnalysis(n_components=2).fit_transform(X2, y)\n", "plot_embedding(X_lda,\n", " \"Linear Discriminant projection of the digits (time %.2fs)\" %\n", " (time() - t0))\n" ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "ExecuteTime": { "end_time": "2017-05-28T11:10:08.265921", "start_time": "2017-05-28T11:10:04.508029" }, "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Computing Isomap embedding\n", "Done.\n" ] }, { "data": { "image/png": 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uRcnceAKHD6PLjTd6dUAVq9OoLykBQLRCGshfsz5V/bFqNBoMBgOFhYXo9Xoy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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "#----------------------------------------------------------------------\n", "# Isomap projection of the digits dataset\n", "print(\"Computing Isomap embedding\")\n", "t0 = time()\n", "X_iso = manifold.Isomap(n_neighbors, n_components=2).fit_transform(X)\n", "print(\"Done.\")\n", "plot_embedding(X_iso,\n", " \"Isomap projection of the digits (time %.2fs)\" %\n", " (time() - t0))\n" ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "ExecuteTime": { "end_time": "2017-05-28T11:10:19.087475", "start_time": "2017-05-28T11:10:15.707668" }, "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Computing LLE embedding\n", "Done. Reconstruction error: 1.63544e-06\n" ] }, { "data": { "image/png": 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6TkOPoqPOCp/qSXBAIOEhfbhp7JV2+7S7ytdtj0nPUlOzxk1mVukh+4Tib6fc\nSd7uzZRWlXOmuUlZUULUN0MIrg9ByAAWPj6D4YMHeO3/W1pVTsaHqzhWW0WfoBAGhpvO+cTxPZlO\noCsYNmOdiYuLIyIiAlC0Vz0vqBCChx56CKvV6rWJYPaDyzlZWetxvcDAAK6fcjlDL3CtcWvudbm5\nucTFxXXoRdPW3tqZtJGOOGqjevLzuGl8P/ryVvZfV/ZeZ8ekN47HGRnWl70nj9DY0kyAEAQIwQ/H\nfo9G82kazKeRSOat+xtv7vzYvn1pVTkPrM3mjpwn+PGri9tNMja1NHPHpdfw4qz5TL0wngOVZUgp\nu82ebdihz2JoxjqiJZdJSUlh2bJlFBQUkJKS0q05AzqLlvi8eIf74V1xcbF9CBgbG8uhQ4dYs2aN\nxzSYruytmvapDZUPVx9n84IXqTle0dVD6hSvFn/IxGFjsUnJ7977p11Lvm/Sra0E46SRF7PnxOF2\nx6QnbbXuIf2j2lVQKa0q50BVGRU7z0AV3HrxpFYeJ860+lGRg1m765NWZolR5sFcNngUb+35jEAR\nwHMFr5H9SahXJgup5qh+6KGH3KbddIZhhz6LIYx1RrOrxsfHk5ubS15ente21e7GWY09T8TExDBq\n1ChKS0uJi4sjKSnJK3NF3NDRbksxaUJjUF8zU44/06EHVNOuusrIUaNYMzuD/8v7C+Y+fXn2lntZ\n//UXvLFzE1cMjWXFl+9x2HqcABHIXav/yE1jr2x3TOLe57rcD43H3v0HZTWVLLphtsvwY+28VTU1\nU1D2Ne988zlTLr3cbmJwZtapOVPXTkBfNHA4SzevIUAIfnLFZH540ZXtTDLO0EZLDz/8MEuWLCE3\nN9frOnoGrTGEsQ8QQpCamkpqamqHtnOceOiKcPF24kGoNdmiIvvyxbYDlJ+w0tjY7GZ9QWxsbIcn\nR05W1nospOouS5knXB1r20CHHWUH+GPBairrawkJCuJMUyMjTAOxnqln0Q2zMYf147fvvERjSxN/\nmfFrhvSPsguw5Vvewnq6jtsumcTk2Cv4aF9xh2yrjqHsa9eu9SqhvruRhIZ23t448IW9SqIzE4Oj\nVj/jsu/b7fUTho3hrT2f8dTGfwMQFhzCqcYGBoabvCqWqk0sR0REkJSURElJid8KY02Dz87OJj4+\nnpycHL8atRrC2I/oromHthrxDQlKlNmzS9/q8r67irvkOF2hvrGB5VveprK+ln6hYfzo8sms2Poe\n31lPIoQRUSNcAAAgAElEQVTgkfUvIoHQwGCeuXkuQQGBnKyz8mrRhwwIN1FWU4EQgrf2bOGtPVuY\nHHMF0FrwlVaVO923pj3m5+czffp0Zs2ahc1m89hnb4u6Hj1WRVXNKaSUXBA4gEtMI1stdzVxWtd4\nhlXb3idQBNAilf6cbmrk7a+3UN90BktVudfJmdauXUtMTAwWi8WvBJyGlJKcnBwWL17MkiVLqK6u\nJj09nZUrV/Z01+wYwriXIoTAHDkIgP0HywkKDMRsCleXtdaI224HSkl3X5aGd4YmNFzhmGvCW+1S\nS0ofN3Q0eysUTbPmTD0rtr5H/9AwVv/8cUKCgu25IJpszXZNNCqsP0IIu71Ws2t/Zz3Bx5ad9A3u\n00pQNbU4H1Vo2mN8fDwrVqxg4sSJXdYeHd3RGk+3EFbRj35EYisJJy9smz1hvTbJ+Or9mVjLK3iN\nx71q/0OHv9254IFyfFpx2ZKSkg572ThDe4Hl5OSQn59vN/11hfz8fBYuXEhKSkorF1R/wRDGvZR7\nHnjB/vdfX/6AKddeYn9Atcm6N9Z90WqbrKfvsZsTXln+oK5aujP7tKPpwu6ZYHU+cadpNsuWLQOU\n+m/eCGMtMm5AeH97Hgmbelw/HPs9u5boaNOub2zg0XdfamevbWppJiF2PBv3F1NWW8mppjPsOX6o\nlX3WHWlpaVitVrZv397l+m6arXjcBbE8/r8VVAfXMCcpgSmxVxAe3Me+njZxai2v8PlEWV5eHtHR\n0V3WjKWUFBQUcP311zNlyhQAsrOz3WqxD6zNtk9IuiI5OZnIyEhAfz99PTBc23opryx/sNXHWWkf\nUG78LV/tU/LjPv4qB0qP+6Q/mjY+4YpopIRHF73GnF+ddbvThMapRtf2SS0EfNSoUVRXV3tlF9dc\n0Qb1i2Tt7EzGDhxORGg4z992Pz+5YopT9zrHvvz2nZe4e/UfeXPnxwyLGMgnpTupqK/hzvGK9ney\nrsbL4xfEx8eTmZnJlClTuiwMNHe7082NWM/UAfD3LW/Z+6rhaeJUD7QXZWpqKtXV1WRmZrJ06dIu\nheynpqYyb948NmzYgNls9vjycsz74QwhRKvJZq1slT9x3mvGXYnWcRzSNzR03GfWG+1IG66lpKSw\nbt06TCYT8fHxugzbNGpPnbXTrn+/mN/cd6Mu7WqUH7cSFBjI+KuHs6bkUyQBnOlfT2D1WROGo9AQ\n9/3JaTuJiYmsWLGCnJwcDh065NX5W/HVuwSKQJ4rXK1quGcQwn1V5rYCTDMJvFay0W6KyN32AQCH\nrd69vKSUFBcXk5uby4oVK7wyAXlT92/MgGHERg2lvvEMYSF9KKs5Sf7uTznT1NjtUXSaVlxQUEBx\ncTF5eXkdcnNzJC0tjdjYWIQQFBQUeKx+PWvcZODsy9cZ2jmXUrJ48WIWLlzYqb75ivNeGOvl5zj7\nweUseepuj14DnUXTArXovri4uA630cpU0NTCtVeNRQjBY/Nup2hHKe9v3MHPf3Stnt0G4KGNf2Ns\naDTzp9/BhQOG8K3lBBcMjqS8qo495aVMjlImEN3lY9A0y7i4ONLT00lISPBKoJ1qOMNPx09h2pgJ\n5O36lPVfb+FPt9zn0gOioy/nD/kTbX1mhBBOPVpmzpyJlJKSkhJKSkpISkpy+0L1VPfPcWIu7fsz\nOVJ70mmUoK/prPeQu/Y04atNCBYXF9vt0q7QPEbcoVVI0bIP+pPnh2GmOAeorq5m+/bt9u+JiYmd\nmlzTTAUTx8cggU+/3AsoVYr3fONddQ8pJRs3brRXjIiJifE4HL1t/CS+tVl4csO/+ERuo/yKQ1T3\nVbY55eA9odlB3ZGdnY3VaiU5OZmqqiqKi4vdrv+H6+/m9kuvsbtqgftsadrLuasfZwI9LS2NuLg4\nCgoKKCgosA/rXbF3SwGxVXV88Mm77bwv2kb/XThwGDdfdLXTrHCuvDxAuZ5FRUXEx8eTmJjoNxVR\nHKPrNmzYQE5ODunp6S7Xd3wxucLRta2kpITRo0czceJEj0UHugtDGPs5mpblSHJycqfa0ibuhgxW\nwrRjRg0iKCgAkFw8dqjH7bVESKmpqRw6dAiAlJQUjylCNeFwYcQwbupzHX2q+3KIozT2O0P80LOa\nm2YHdYcmLLKzsxk9erTHnMqazfe1ko28WvQhw/oNZMPr3zB33kvM+dVy9pfsZ81dT7HmrqeQNt8l\nXxdCkJ6eTmFhoV0YFxUVubUdlw00Y+sfgcXyLTv272y1bLNlB9+c+I6ahnoeXv8id732DG/u/Lhd\nlCC49vLQ0DT24uJitwKvO9FS0c6dO5dDhw6xbds21q5d6/J6O76YXKFdA8eXps1m85ugLEMY+zma\nfUsjOjpat1j8yy8ZrmjJEurqFZt3+XEr1VbX2oXFYrFrfdHR0cyYMcOjlv5q0YeMMA1k71tWtn16\nmJAaZba/OayR3330MrevdJ43wRnasZeUlJCWluYxK97/fvEsa2ZnUHx0H7UN9Tx9cwoT42KZOD4G\nEHyz5mMCg/XPKaEH1qbTxI++HAT0C+vXatnoqKE8eM3t/PPHD3PHpdcihGDswOF27dAxH7MnL4/5\n8+dTVFREWlpap228viAhIcEeTBIYGEhpaanLkZDjhOu5ynlvM3aF9mZOTU0lJiYGs9lMRkaGW7uV\nNlGl+fPqhaPmmZSUpFss/g0J4yjYvAeAz77cBygmi8nXeFeBOTEx0St7mxZsEDGjLw+v/zsnDlcT\n2BBEcF0oNV830N86iAnTh/LGzk3s+sT1kFrTbDqivWnDec1NLSQomOunXs4775UAkjNVpxh51SUc\n/nSX1212G1Ly+e4vuDr2MoL69m3lvuU4secYJXiq4bTb8Om2CCHsL7T8/HyWLFni88PyBi3PS3Z2\nNtnZ2R7Xd5xw1TMkvTsxhLEbcnNzsVqtlJSUEBMT49GZXRNkrtzIOotWTHP79u0UFhZSXV3dadeo\no8eqqD2l2BLLj1s509CkBDa0mXz8pRNLiObcP2XKFLtrmTcvhk2PLWfoXe6DDVarz9v73h+KV7hK\nUNRH9gcpuXjGdZzee9jr9rTAk8LCQo/26q4igDOBAew+sIuhI2KcpvEcM3B4uyhBd54iriguLqak\npMRtgVs9AoG66l/dmzGEsRscI3SSk5Pd3oirXnjAJ33QNISkpCS2b9+OyWTqUhmnBYtXg5rF4Lll\nbzNyWJT7DRzQ3OxKS0spLS3FZDJ5NRt95PB3HfJY0TMLlys/239sygMEg+NGU/qNYv+WHkKUNZv5\nsmXLEEJ06aXoDdm33k9ZWSlrCvIYFNqPyeN+AJzVhE/UWXn5y3dbZXVzhjepSlNTU5kxY4ZbhaOh\nocHtdVz2wb94y1KizBSrfH9QLBXf7ubGxNt557s9HLGe8Mpl73zkvK8O7aoSc0FBAdOmTQMUM8HG\njRuZMGGC123o1RdftnP0WBX/27CdjZv38Ni82xk+NMohZNp1xeWUlBRWrVoFKKaKjRs3uu2Ltp3e\n/e9MOy0tNh7986vsDttLS2gTwS1w0bEgJu8LJahPCDNWLnC5b810VVBQQG5uLlVVVS5fHF19oUQN\nHsCdC2bTLzSMCWPi+On1PyYwMNBeKaWhuYnwkFDKa6tYdMNsbNLGC1veoqymop0Zo6TsAPHDLnR5\nPYuLi5k4cSIJCQkkJiYyf/58py8ZV9dl33f7+evrf+MULZguGM7PJt3Mu3u3svm7b/j5hVeydesm\npnz/JoIiIuyaveZiGD98jO5V1rsSO+BIVyp9dKY6tKEZu8Bxkmz+/Pl+44uoJ221ZG9NLBkZGZjN\nZnJycigoKCAzM5NFixb5uLedo+To/la+tkLAkfJKwvr3JdQaRv3gWnaOrGX0ySBm/3YOrFzgsi0t\niguUUZMngVt8dD+PtplQGvxVdKvtHM+5lh9DYz9wz4Rp/Fw1NXx9/DCPvPMiDc1NhAWHcqTmJAGq\nWUJKuHLEWJ6Ydnc7P+O4oaO9OleaAPZ25OWYqyNkQAQX9x9E7b5vOHx4P+Wl+5EBNj7/eisJ46/j\nR5NuJjBQmSh1zAanuUh2hbamD39xz+sohmbs4m1vs9kIDAz0qBW7a0OvvvREO3r2BTqmGeul2Xgb\nGRkxeABvbylgcuw4t8etaZHTpk1j0aJFbqPC9Dp/GvWNDcxb91eO1VaR9oOZFB3dx0f7ipwGsKzZ\n+QnLt6xrVULql9fcpvs9se/kETbtLWK0aRBflB/gw/3FjDjVwI1XXs8re7fQ1NJM/9Bwbr7oKu6b\ndCulVeU8veHfWKrKEQJmXn4dD1xzh8v9tX05Qcfs4D2JoRnriBCCOXPmsGrVKnvUm4G+SClJTEzE\narWSkZFh1zqdaTZCCG58+THuHJ9I0dF9VNTX8PDkH3PlyIt1ETLu0kQ6VrIQQjB9+nTdCs06w9PL\naD1P2/9+H9eeAyNGjuS3ry3zSdFWUFzmmk7V8u//vcZ3DbXIsGBiR13Eh8f2EhIYxJM3prDZssuu\npQeIAOoaz2AO68vE4WNZu+sTrh11mcsowe7Iq+FPGH7GboiJicFkMvllhidf0NJiY+Cgod1axsZs\nNlNSUuKVf+vwktFsXHGAshNVLEj8ma6ap7viqJr71/Tp0xk5ciT5+flkZ2d79Kbwxm/aGXpFAX53\n+LDbXA16cGnMJSxI/R0hI0Yx3DSAYwHNVJ2uJfOHyWopJ8WEcKKuhhe/eJszzY08Me1uxg9RvDa6\nq9beuYChGbtACEFmZiaZmZndtk897GdaO51BCKg4eQwppc8Fsjbk1ypNe2OTHz12EF/vLqOu8Yzu\nzv2efHIDAgLIy8uz5zbIyMggJSWFpUuXutzGH6os+6JoqyOOYcj3XX0rz6q5RbTrY+rTt1UxVcCe\nyD8iNNyrxPXnDe7erMri3o0ex9ibzpN2LHodE9CuLZvNJpcsWSJNJpN9+YEDBzy283r+53L2g8vl\niYqadv3tah+XbV4r71+zVNfjvvHlx+SmAzs6ta1effj5v5+WZTUVPrnP6xrOyP/LWyZnrcqQJUf3\nyxOnqmVdwxkppZSnGk7LX+f9xb7/6Oho+7Xu7Cc6OrrLx9BdqOeqQyMZQzM2cIpeWvqgwUM5cbys\n1W9aVq7k5GQGDBgA4JVd3mZTbtpHF71Gc4vnAqpSSpKSkigsLCQvL89t9OTn+Yc5HabvkNlVyaKD\nFcdIf/1F6gNOI1oEt142ibQEz4nyO8OQukYWv/wkUYOidPdacBVQ86Nxk9sVUzWqQHvGEMYGTumq\ne5CWVrR/3z688GfnqRUdHy5vgke01S+/dAQlOw9xprHR5bpSNYOsW7cOgMzMTLfC+JqLLm5Xgqqr\naPkh2lY5+c1D05g48CKCq/uwpWIX6/duIXHsFR7NGVIqSdy1gpreuFzu5Az0D+X+v2dQs38v9yXd\nS9zYswnYvzl+mIfXv0hDSxPhwaEEBwZis0kyfjgHc1g/ni1YTfXpU06DSlxNsJWUHWgnpA0841EY\n6+Fm1BXnaQP/QKrRZ6NHj/a6/tyjv7mN3d8e4YU/69OHU3VKYvjwMKW0zsHqY27Xz8vLY9SoURw6\ndMijVjZksP6TtFp+iD5Bwa1qDq57fQdHymppaqomJDKM04NOeZzIkmrAiZbLWQvVX7t2rdvt3r9X\nEZYF2wp548DedgmH9lcepbGlCYGg4NG/UXO8EoC1tJ4r8bZ2HrR/3kuryok5R/NFdCcevSn0mNnV\nw2fUV2jD8a58zFGDW5UQ8iUxMTFd7q+WJ7ajaA+Yp7SVGn/6y3qsVudCRivSOX36dACvvCk2fLwb\nKSWffrEXKSWXDh7ldn0tRy/gVZpEW4Dnis0dQSuB5Ji6FM5my7MF2Dg1pJqh/aK8msiKj48nKyvL\nLoCrqqo8brP30F7mZz3EGxveZNyF47hwROsAkFsvmcT79z7H+/c+S83xSl28ONo+755SeBoonPdm\niq5o7DabjfUfFFN6+KTuQ1xX6GF7g87Z37RE6N5GI2r5OpwlHdL60JEKvZO+dyFfbDvADQnj+LBw\np9N1pFTyZ+Tm5lJQUEB+fj5xcXEec0A32pqoHFuGafAA3TxaXPnI3pAwjvc3bafqomPYglpYcN3P\n3brWAfYXaEdz79bWn+J3yQso+qaItzev57OdW7h23DXt1qtzSPKvN+5SeGp2fa2kWEFBQa+MdvWG\n814Yd4WAgAB+c/8suybwyvIHO9XOuWLG0fxqe6qvmmZZV6cIjvLjzif9MjMz7WkXo6Oj2bhxo0cB\ne6i2nKbwRq5++l5AsU/7KtrrdFMD+ZWFNIc2E3lgMJWVdZSFVTF0YKTb7bQIOM2dzhvBbD1lZdSQ\nkYQEB4OA5ub2WqrmntbdaKaXdevW2Yu0pqamUlRU1O198Qc6LYyllMTGxpKYmOg3ZUt6gvNpllgT\ncPn5+cyfP98rU8fRY56H0t5SdESpYv3pl3sRQvBs9ltO10tOTsZkMpGTk0NpaSmLFy8mKyvLbdu7\nPzvOUJRABGc5OrQ8DM7yCXuDY+rSbZb9VLZYIRAqxx4j44uVXB40hqWp97ltQxNemZmZJCcne1Xx\nZcPWjeRtyie8TzjXjb+O71/RusahY77nniAmJoa4uDh7Aqa5c+f2SD/8AY+5KaB1XgFtlnrmzJmU\nlpYSHx/v8U2md5y+P9HdeSB8nb/CXbY2rfx6bm4uU6dOZeXKlR7bn/Or5fx3RXqnqmc7Ehoayq2/\nX0S/Y2aWPHUPUea+rP+gmOk3f69df7XvVVVVpKamsm7dOrfZ5RyPWe8Ja02IHzhehrAJwir7E3Ek\niiGDTRw7biVl7nWs3reBsjNnhbyrPBJSSmbOnEl+fj6LFi0iMTHRrYeIEIJPd3zGteOuof5MPf/v\n1eeprKkkNDiE8WPHc9eNP2dHucWe/+H9e59zud/q6moyMjLIzc0lJyfH7QRu23uovrGBvqF9XLat\nMXXqVMxms8s5iXNJjnQmN0WHw6EtFgsTJ06037D+Vu76fEVKSVVVFWaz2Wc2Ny0MWHOxio2NdZss\nZ86vlrPkqXvseXC78mloaEA0K1m/yo9bqak9wx03OS9eqk1SRkVFkZ+fj5TSbZpPR/SesNaKrL58\n50PcNn4Sp4fU0NCvnmOqiSVnxWYGlQ/mb0nz7NWg3REXF8eoUaPsGrKniU/NLBEYEMiMKdP5w9zH\nufaKa9my43N27N9pd09bN9t9pKn2zK9cuZLc3FwvzuRZ9la4LnarjQqrq6spLCz0WAG6N9NhM4U2\nA15cXIzVaj2vT54/olUmycvL88r9rCOsWLGCzMxMiouLOXToEAkJCR6GyvqaX8JO9ENK6bOKKr5g\nzMDh9gksLXXkrx+8kcmx49qtqy13RWdC9Dd8tYE3Nrxp14bHj7mCyIjIdnX1Ql2Egkup5Pauqqpi\n5cqVFBcXd7jCiTcpPNPT0zGZTD5NwOTvdEoYr127lszMTBYvXnzO2Dt7AiklGRkZ5Ofnk5OT4/NZ\nYkfb/YwZMzyuf0fOE17bP4UQjB49usNakZ5c33CSiNOCfPMAZt5+Zafc81yx5q6ndGvLGc6qNrta\nriczpsxgxODhfFy8mQ+//Igvdn2JTdqcurk5Qyu1pdnc09PTvbq3vEVKydSpU+05SmbNmsXKlSu7\nNTmXPySjh06YKey+tedJJrPOIqW0v7A0TdXXaIIyLi7Oq5ek49C45Oh+X3evywSNGExjoETTuPX0\nX/dUIVpKSVFREYsWLSIpKYmkpCS7q58nHJPpOFZtdrVcT+IvimOgeSCREZFKVOSts7n9utvYuW8n\nn+10rYU7IoQgJSUFs9lMXFycvQ6jXlRXVxMXF8fChQs5cOAAUVFRZGRkuN2mtKqcB9Zmc0eO95XF\nXbalU5a8rt6PnU6hqc1Y+1Npb39Be9s7Die9mfnuyv6WLl1KSUlJh7YbZR5sT7HY3akMNTuuFnTj\nzX30rwsOsX1Uk0/6M+yqS6gKb/G43uLFi8nPz6e6utqrihiat8LRmgoWJP7MHpXnanlgx+Z8PLLv\nu/32oI+YoTHEDo126ub2zVb3pgdNCVu5ciXTp0/vUIVuT+1qpo/MzExKSkqw2WwehbFmiz/XFAp3\ndEoYa0Uyo6OjuzXF5LlEXFwc8+bNAxRBrOeQ2hkpKSn2aDZv8TR01gNnvsCaR860adM4dEgpBurN\n8C6p+UKutIS0skTrEUEZGhqKCAqk2cPTYDabiYiIsH/3ZvShJdM51Xia377zkj0qz9XyZ5Y8zwVR\ng3SJsoyOjiZ6yCh+l7yASZdfzcGjB8l8+Uk++OKjdm5uB990rSVLKe218TZt2kRiYmK3jPTcMWbg\ncGaNm9yjCoXedNrPWAjRYU3sfEEIwdKlSzl48CC5ubn2EGZf7s9sNpOVlcW6devYvn27V9tpQ+Ml\ntz9gHzrrla3NHDkIUGrrOUN7mKdMmcKmTZu8GvZ+sqeBGwng1uoK+296BKAIIfjv3uOUBwxyu050\ndDQ1NTUAXk+OeqpWETd0NKunpbHx8X8CcOFNVzH5pj4oWSPV/wQEmcOpO11HyBnY+v0Grrh4PD+9\n/sfs2rCF0rzPMY8eyomv9rEj1sqVfS+mYVc5Vy1JZv+RAww0DWD4oGEIIfjpDT9hcvwPWvXhyJdf\nI+rchyyvWbOG9PR0pk6dislkIjEx0efVsb2hOxSK7sKIwPMhpaWlWK3WbrthIyMj7YlxvMmCdrSm\nwp7iUEuu3lnhNudXy3H0nnD0dnAWmZiUlERcXBzZ2dnez6KrL4nN/U2McxF9p6F5AcycOZP4+HiP\nZpDIymoCAlw/DlJKrFYrERER1NTUdNijAFwHjux45QMCgwNpaWph7G3XMGqKklXt6zc3Ubb1W5DQ\nXFVPqHp+r9kWwfTf3ImtxcahdV/wzdAaBu6ppj9BXDT5eww+EMZhyqk9VctrH/2Hmroal0EfthYb\nu177iHF3XQ/LnPdbcxPMzc3t0Qnctjja2h0VCr2Q8mwl9OjoaHtBAV9hCGMfognhzjy4HUUzHXVk\nEkEbGoMS+jsl9gq3UWbuotBWveB9KLgQgvj4eOLi4pg7dy7x8fFeaeMSyfsmJS+vK40bWptBTCaT\nV+ck8fKRfLTrO4/raZqxJ5fOB9ZmtztPmp1TK1f/xs5NXFYdzumKGoZddQmHP91FWFQE4QMVW/S1\nj9zJ12s3892WXXzvl7fz6f/7Dw3WOprPNCJtkoMfbaNflJmHf5/Gh4++SG3dSUJX7eOweir3PfMW\nT65wb0Y8+NE2QvqHM+wq32qVeleBdowcbKtQ6MmqVatYuHAh0dHR9nvVV15RhjD2EZrAWbJkCbm5\nuVgsFp/bjTtK2+HzvpNH2gkLx7JBzoSJu7JCmvB2hZYG0l0knyMCwYjhAyg/Xk1zs/vJNi1B0IwZ\nM3jyySc9tn3tI3fy5VP/druO46jB02jH1XnSfI4vHziSnVUbOPhxAd/FNDL6WJPTh7Gxtp6awyfY\n+MSKdsvqjlVSufcIa+9RC5QKCAwJZvC4WMq27WXKH+a47aPTNnyEsxFXR13KSktLnQr0Dwf/hWue\nudcnuUTmzZvHhAkTmD59OsuWLfNqxNlZDGHsQ4QQpKen6zbz7GucBSg4Top4Wt4WTXi/6GK59oDO\nnTuXtLQ0EhMTPZt0pGRSzCAGfrmTV9yslpaWRnR0NOnp6d5PbA5wn0JTm8CrqanxaOOeNW4ycPY8\nlR0+yv5HXgPgxhUP898dhYyoH8jgYUMInzKIsje/Yih9kDYbpxsb7KHLLS0tBF8huPKbKPo0BCBQ\nzMjzsx6inwzlstsu4pZrbuKbtZsp27aXhEXJmGOH2vtRdbDMbo+e+erjiIDWwmzs7dcwcvIVypfX\nujeaVs8MhL6oIq3N/WhUV1f7NEmWR28KPWarO1sgszeiTeY5fgCvz6XWhi/pSICCu0kTbcbbFdpQ\nv6CggNTUVM/mHClJ+sElBG7dgyu9WMujkJ2dbU9s5I3mffhIBaUHa1wuF0IQGxuL1Wq12xI94Xie\nQv633+7L/Lv3Xqa26Qw/HBbPKctx+MdOhlQqw+u3f/lnAgMCueGSyVy93cTI8jCGnAylT4MmhhXL\n/BOpv+fKK6/hs6PFHLZVcO0jdzLr30+0EsSA3R7tirCoCCJjhxLZZjsDBe2ZKygooLS01Kcuqh41\n43MhteO5hL9nefM0KeJpedsSQ67q1AkhmDp1aofPxd/++ynD+4QxpMl1ySXHFJpr1qzxagL18af/\nCzr6+La9Rq1eB6+1+q8Vo0aMpDTkMVo2HCKsMZA+DQEMqwgDzgrjpkDJC2uWc9JagUTyyfZPueLC\ncQQEtNatjnz5dSt7tCd6ujq5P6NFHvpSETLMFOcoek6GaDhOijww6Xae+F8Ox05V0kedhLp7wvXt\nJk2iY2I45Mbu98ryX3Wpn47MtFYgAgM4OSiKxpOus8AlJyezceNGtm/fzqxZs0hKSiI5OdmtO5o2\nAfnK3/Xpb2dfuEIIjnz5NaWV3/FF3HHGHu6PmjsRzVslwAaDtjZwekgAV309ALYd5x8fLGRQTR+7\nKcLRS6KsaK9X+zYUr9ZIqZQay87OpqSkhPj4eHJzc0lKSvKJh1SnI/AMFDpqxtELT6GZr+d/zuwH\nl3OiosbpcmcPnmMAwv/b9F8OVZdz80VX2SOc3v32y3YBDIe8CCXVk5ABEVSFhxPpopSPNnFaXFzM\n1q1bmT59uj1X7rnCrn9/RP+aACbtjmJoZR8Hh0HlXAZKwY3338WkihH2JcGNre+tVl4SNmU7adO3\nrJSvkFIyY8YM+zPjaLftblJTU8nOzmbUqFEUFxczd+5cn/XH0Iy7SEe1ie5IrOSYyLz8uJWgwEDM\npnCP240bHMN1lZNamRgGRvXn44M7Wf/1Fgb3NbebKBHdWGjyYEgoMcerufC4+8kz7RxPnDixXVkn\nVzP4/pTwqsxaTlOQpF9jEDZhI0C215mOHrDQfLIOgaIvm0+HtEqS58xL4u1f/pnpKx7z/QF0AU1R\nWPedwKwAACAASURBVLduHXPmzKG6uprMzEy3qVp9hbdh+nphCGM/QUpJZGSkLqGmCxavRnsyO5Ju\nUghaVTEG/4pwKg7rR3FYPybXWomyda7IpSebvR7Rkl21mTYGSb4eVcOo8nBGnAxzWKL0SyI58fpW\nAoD/e28Z5Q4Ribz2B/eNr1zgtL/+YqLQJvxNJhMpKSlIKVm3bp1PXcr8BUMY+wFasnar1cq6deu6\n7JPckQAMR7Qqxm+s+wKA+qYGMt/N7XKEkx4TQ4MGDGZ4UyNHQkJpCBC0+GjE7Y1QEkLw/NpcRqwp\nZdvlVupowCbghcf+6lLQa14eqampHl+2A2pDuG6XkkpTOvxrbwtNLAvKqyv8ekK4Mwgh7MUAtOvR\nGycF22IIYz9BGw5JKbs13t9ZVF0kA7EF2Hhm8784UV/dpQgnTVBkZWW5HGoKIZj94HKQNiRC8RuQ\nEhEQQL+o0wRHHSI0OIR+oUCRxNzSQnAPy4/3TuzilpgIzBWBxFgj+G6g5yQ1ubm5HdbuhMO/UhXD\nbW3I3UFHAzRc4Y0Wrtn9QTlncXFxPZ4DozswhHEPo9nIVq1aZf/NYrF025DMWVTd9D5TaQpv4EBV\nOULQKmS6IxFOUkomTJhAaWmpxwdw1qlKzLFDSViUzNa/v8WhzTu45Z8P8c3hvfRvCOaN3FwODd7P\nddLEztABXH3mVFcOWxearI2MPhFOoBQMqnH9ktK04pycHObPn28/F50d/TiK4+5CzwANb9H8xbOy\nsnyqvfuLS58hjP0Ax2FrdHQ0cXFx3bbvtlF17xV9hbW5ntBTYWT94NcMHxrl1eRfW6SUpKam2jP7\neRI8b/aN5KZ9Zbxx99Ns7meiOiKKtek5ZD0zm91/XUufRmUSK7hZMLrpDC3ABeaBuj2kUkrmz59v\nD133pImZ6gUxJwORQmrOCm7RKlUnJyeTnp6O2Wz2mLPX3je7Bqwca9+hUdSV9Uw15+5AU1BSU1Mx\nmUyYzWYKCgqIj4/3iYbsL/ZyQxj3MEII5s+fT0JCAtOmTSMxMbFHbHjaRN2AXcP4WpQD8Nyytwgc\n2sLJkcc6VJ5eS3afm5vLwoULWbx4scdSPUIIrnnkJ+zafZiBn+4m7EwjR0ND2b55M2tDv8I2QjLQ\nGoK5LoS6ABtlwaH87eZ5zPrXE1QdOMrGPyi5Gw4FhzCqqZGjU6/mN7+8iY+Wv07Fx7tpCGnheGQD\njyz9k9P+FhQUsGzZMhISErxKGn/HtjACbXDWhOD6XOTl5fHQQw/Zo7eWLVvGihXtc004o8+ACIL6\nhnLq0AlFKAvhlSDWBNrUqVMpLi4+54b5mZmZ9lJMqampCCGYM2dOq9JivQ3Dz9gPcLSR9cSMsWNU\n3f/7089Y9cIDrHrhARYuns4dM+M6VU0hJSWFNWvW2DVi7cFyhzl6CDPunsalN13NkZBQhIS6D79l\n8pHhXFDen5OmRsqiTrOrTzg2cXbI++Xf8rTsmmqABNxyvZKGMuaG8UTNGE9QYBCBNte3+8yZM4mO\njmbFihXMmjXLY2h2WKNmzRWIoAC3hgMtp0Vubi4TJkyw+9G6QgJNCOpFAKJvMBMem0VAVNjZhV4y\nbdo0UlJSvHq5dBYpJWvXrrXn1NYj6bwQgpycnFa+6jabrVcLYjCEsd+g3czdLYzdlQXqbDUF7ViS\nkpI6ZxetrCGp+iRTG8qoCqmnb6SJyEBlEGcLgKtunWQXfmvvfoq6Y5Vo5syRzUqYdPGiFVRb62kI\nbOG9A5v49KITHLygvt2uNK3YarWSlJREaWkpeXl59nBqV5wKlVT2tSGRyGbXrh1CKAU9q6qq2Lp1\nKxaLheTkZI+a6sf9lIoi9YdOsun//k5LZT0gCAgJIjBU8WoJ6RfmdFut/mJVVRVpaWk+H2kVFxcT\nFxdHcnIyqampPt1Xb8YQxn6CEAKLxeIxT67eeCoLBGdNGMMiBvLRG98wd95LzPnVck5W1rpstytJ\njcQXSh6FpiBJifkY74Xv4oDZyvCTYQw72QfxxkeMbGwAhwmloRPGAnBMdb8rDI/g9fzPCd1Xz7TD\n0SQWDyZ+1wVO96dpcxaLxZ5hb+FC9xnMTA0BDKgLBHvYhWuBp0WSRUZGYrVaSU5Odisg9/QJx6q+\nfIJCg5n2zH0M+97FCCEYc/PVmKIv4Or5P8bmJo1oXl4eWVlZ9mruM2fOdHs8nUUIQUZGBllZWWRl\nZdnNMgYdx7AZn+d4KgvkaML486338+WnFsrLa2hqaiFzQY7btoUQxMTEMGXKFPLz8z1mOis/bmXf\n5p1grUUCUbUhmE9cyuna00Q3nmFQSzMS+CqsH2Maz2BuaUYGBRLQ3EJwvz4IIXhw5W8JCApk2sEy\nNv7+ZbTCYAIw2doLLyGEvQz9smVKqYvo6GiPL5EmYaMurBlTfTAnTA0Msrp3+dOyvnnjkdBvSBRU\nKSOQhEUpmGOHcu0jdwKwfdX7VO49whdL33C6rZZYv7S01H6+8/Pzfeqnq2n/oJjZ9KwcfT5hCOPz\niK76ir7G4wAMHDSEm3+0kCvqPbuXCSG8she/tXqR0/JMXqPmsB/ybja7t23n/T+8xFeXVXEmpIUA\nm2BwTRiXWPo63TQgIMCuRS5evJhFixZ5HNoHSYGpXtHCB3oQxB3l1LFKCA0jqE9wu5SYY2+/BhEU\nSHnJPqUiiJPc/bm5uURHR1NYWEhRURGrVq1i69atuvaxLUII+4vA1yleeyuGMD6P0NNXdGhjA2FS\nvzC46qrjuvXtq7/lEyAFFx7pR//TQXw36DSHBtczsMp1BKEQwq7RddRUVBPeZBfMetCovghiZ99M\ntbW+lWthWFQEsrmFmsMnqDl83On20dHRlJSUMHWqEgIfFxfns7kIKSUzZ85sZQNPSEjwalt/8e/1\nFwxhbNApxp+uY2eYc02zp6ktO0lwYDCDrcqD3qcxEAE0tbhOsi6EaJWQ3lva5oborHBxjEw7GNIH\ngK3PZTPg8FZOhwTS9+67iHjkYQD6TBnDuyHbKauvapcUWXOVTExMxGQyceGFF/p8Es8xGZPJZGLi\nxIlkZWV5fKn5i3+vv2AI425G78KMPUWzEBzRuRqvXoT2C0ciOR5ST9HYamwCBlpDON6sp4uXwIZN\nl9wQ0FqIX1z5HacCApm+431EUBAyPJzarKUEj7ucsJtvJqBfKLeMm8QFpU2s5xmnbU2YMAHofF7l\njvD888/z8MMPExcXR1xcHLGxsT51p+utGN4U3YzFYvGY/9fTR2+NQkpJUVFRh1IG9re1kFRTaY+C\n68pn6IDBuh5PQ00djTX1RNQHM2lPFKPL+nLS1MiAfid020dtnyZafhSrW3ugCNGR4eH0tbVwabma\nEL65mfA7fwrAqRVKvRDN5bB/Recy1+mJEIKHHnrIbi/Ozc0lIyPD/jIw8B5DM+5tLA5UcmFKJVqL\nX26DC8Z73Cw9PZ24uDiio6PJy8tzWxUDoKCfGYnkD7c/zJDmJiTwcT8T1YFB2ICbaqsIlzZ7kEJE\nzAWEmftTXrzP3saQiWM5tm0vfQebuXnZPLf7k1IydepU5s+f77FvALVhTTQFScIaAgm0qTbYW66C\nv3rc1CuagmyUHC7xvGIH2DHph5gP7+G/IoB+DWd9oqXVCkDz/gOt1h9+kyHwehOGMO6N3Pg8XPYT\n5e++zn1rNTRNu7CwkBUrVpCZmUl+fr7HSs23hwuixo7g8Cc7GfH9yzn82W6GNDUSZrNxJDiEwJBA\nQoJCaVST3NdYyqkILLN7OATaAogJDGQkkst+Ng2WeddHIYRHYTzzskz2iOG8FpxINf0JaglkaEUf\nNm3d5Ha7jhB1KoRrvwpGz5oPdSIMM/+/vTOPj6o6///7TFa2zIR9z4RFVJaEgCiiZliq1oWwVK20\nmgSUIloSpPoV/QkEl9YFkuBurUmwrdUKJBR3JQlogUKSCaCiApmBAAJZZsKSkGXu74/JHbLMmgzJ\nJNz365UXZHLvOefeufe55z7neT6PoKqLmrNB9f54IagrKUFOMSxd9BBVn3xKZYAfLz1wixd7V2hv\nFDeFt1ntB8/4X/z35N62H0PuanjnWtj+rFubp6amolarbTW+oqOjXaaejpk3HeFvnYWPuXc6055b\nwKKVv6N/P6uvcORtkwnoGsyAiaNACCYsjqHPFUMYfqw7133fiwGlwfxce4ISdTX5b//HYT8NdYAB\nt3yR4uY1XJ2wg9svRDHj+wHcuK83D85/mBsnTaVPz9BWu1XCegUz58ok7hq12um4N23aZCsf5E6E\nhrnnYE5170nA2RIO9LNmPFb5BSKdO8fk8lIG5u+h91tvMviokZGHD/P2k2+4bFOh46DMjC8FHsxM\nvUF50Qmyn/obALOXvooYegP8vAW2/j/oOxYmOo/fLSgowGw2ExUVZTN2rmJFB14zCmOuHiSJz5a8\nYiuEOfi60eR/ls/Rb/czqUExzKFTxjL4+jFse3ED/zteBn4ldOE8AbVQV2W/0nND9S45VtkdwZu6\nnGd59v2TGC4MoLZrT26pLafvyDBiRmkZtGY9X3y/jWO9K5GAWVU7GChKeCPoDm6o3c9h1QDGWgzc\nWbuLGvw4hzWyoYTu/DX4ds4RzCtVr7Or+w1Min8PVjo+T3PmzCE6OpqtW7e6Ne6Q6yaQPGQ0ot63\ns3nMr5jx4zfU7N3H0fPn7S7G+UJlEgXvoBhjL2JNqrDAykSg5TW7PC2Ds++9L/EL8KOupg4mLAKV\ngJ4jrMbYjZl5SkoK6enprFu3juzsbLdiUjf9/rmLojVNjYQkEdC9CwOvGcWJvJ+sH1ksCJVg2Kju\nlPh/g0WyMLLmF2b32Qh9HBuTnJwcNBoNGzZsYP78+W7NMKXff8nQl9PpGVzI7qoo2+dZ27L44vRX\n0AcstX4Ivzq+CoqkStWFAH9/CoImcO7CBU4LNXfW7uKECOWHupFMF7tYUfY4ppqeIAnoD2PP7qb2\nlRH2+6/XuwBrperQ0FC3ZFGvlRZy7QAJJIlTm/rRd85JmIw1fXCV/X08uU7kxIyWoMQEX3oUN4UX\nMbpRKdmdH0+y5I7tPkBlaQUDr7kSkGDnGig5ALtfs/oZ+zk3ArJiXEJCgu13dypZj5k3A7/AALkR\noHEh1GPGU7x/3/Mc+WYvILFl4cuoVCrunTmDSeF3Ul3em58D+/NDNzVq9TmHY4uLi2PTpk3odDrM\nZrNLNTUA43e1DA+5it7+pUjAjqtP8/hrT7DvkFXzQpJA+NVRV9WF62t+4K4LW5lWuYPrzu2ir2Ti\nprr9SAi6SNWcCfBDhcS1GgOBXSsQSOxXR5MaGMMZYV+oRyYkJIT58+cTFRXFo48+6nLcR7vF8emh\nZUgJRvoVFFu/h18nIx4tdrnvpcYbUUCXIhKoM+HWzLi1abQyvlT4sDNgqbPw3ftfM8bmDhDw3b9h\n22oI6ArXPAwTFrrVVm5urkfC9oat+UxcHMOJgp85ss06+34i6Z+2v3/bvQeTRvZkgkXFifyfuenp\n+yk+VczZynMIBJKkQkgWKgmmuqq5mpqMPJsz10cUuHP91B4pJLR0Ezf2+YJ7um9G1EoUl/firLkL\nvSQz3xDB10ER1JxVU1p7Jdt7dSXEr4y46q+4rXY3FusI6UMFv6n7BgT8zi+N86rfsp0beLMyknHi\nZ3pJ9tPBZR+xyWSyhXxNnDiRiIgIp/oc/Svep09YAMbnthP+4jfWD3NXw39fdnnMCh0ft4xxe5Rc\n6TA0DCVrY4qWXU9gxVgGfpbAiRMxQCRS/H+tC2seIIQgPj7eI/nDwB5dm7kh1g9YAresbewvV10c\nywnDAf75+fuYzpgIVAsGqoI5bR5KUA/XIWJyqrI7LpQrTi/l3NAerJbmcVpo8KsTjBRGDqsGUCUC\nkGr9qT3Tg5oKDduDr6Kb/xGqhIYgqtnofz3/9R/N72q2cl3dgYvnCFBL59D6H+Gu2o/JCrgGg98A\n4LjdMcjXupyAMXPmTJfjDvCrIkBViTZkFzwbCDcsh9H3WP3/PNlse9nQx8fHo9Vq0el0LkvaHxs8\nlMBJk+iz0b7QkEL7IZwZWSGEJElSq3xNTdprk4ygNmW1n80AiZBB3jtPSSqX8cJ7H76Ng+WTrb9I\nFkDgr7rAzFF/BkSz/bz5PW649xkaKp37BwcyU/skBGuss/JRd8Ket5odw3FpCJ9v3Uv29v3c1G03\nAZZz3K/ZgGql5LWxrf/kPaaMnk7F+hsJrTvLfwOu4lv/0cTVfs24gHJ2Vvdl67npTDpdSUiogUPn\nRnJ0SAkLaz6hQDWC/wRcxz0127ih7jubMKYEfHTmDnZXjue5Ps9jEQLhH0zQU2dcVoSW06wPHz5M\naGiow3FLSSqY8QJ89TiM/T3EpFkfZjWViMCuzfqRdSHkdGQhBIcPH3a4+CqE4HjUBCy/nKT7w4tR\nP7m8JadYwQ3q7zWPZp+KMW4tq/1sBkg8Wmz3+CRJYtWqVeTk5LBtmzXWNSEhgZQU+1GqthvTySwT\noPJpDVV+/cE/mAPG0Zw4dyXTtG+iueUPEBlv3b7Bft78Hj0hbOgQDPt3Qrd+3P+ItbipPI5Jwfk8\nonkX1SrvGePFLzxMRdHVTOv6DT9Xh9NHY+BQDw2Ta79nbO8QZj75BcbSqlb107dfb45/9Bj+N/6f\nw+88PT2dBQsWEBERYYuocHTubN+5fzDUVkL/8TDmt3DFnfDTFsSUxxr1Iy8STps2jYSEBFasWEFU\nVBQ5OTlOjfGxK69GqqiwfhAQgAgORnTp0kj7QqH1KMa4PdjzJgyZAj9vQdz4pN3Zi3zTgFVBS6fT\nkZCQQHi4/XRa243ZYJapXfyJz/jtPf0ercdTL8D+hwKrwdl0H5T8AP5d4PxphBdnxotffIRHY+7j\nVFUt//rsPZKr3rL+DZAQ+K20tLov+Zi8OW7p2WAI7Aa9RkHxTlAPhcpS64P+TycdGmOLxXo8fn5+\nFBUVOTXGxQMHy7/YXGuifz+kk6fo+c7bdLn11lYfi0LLjHGroikkSaKoqMhWucBdXYNOxcRF0G8s\nXOvYV5eamkpYWBhbt26loKCA5ORkl3G83PYaxObANYthz1vtEqnhXQRMew76jIbqszD6bnjgf3D9\nYyC8G9Tz+uOvEj1lGsc/foLBdacRwEb/KWQG68jtOsWrfXmVpyrhsRK47yvr7yNuhScqYNkvzTYV\nQtikKs1ms+13t+vENTTsv5wESaJs4SIqXl7T2qNQaCEtvgvKy8uJj49n2LBhrF+//vJUaTqRDzsa\nhJI5IDo6GpPJREZGhu3GcfmqP+R6l0a+pbQ6A61FsaIS7Pu79b+B3eG7D+GdSbDjZbjmYVscqzfG\nJkkSx0rOcVXgWWLrcgCYW/sts6py0J3/xmvn0evs8DwsUa1Wk5SUBFgXOV095Cebyhh8vNj+z1Ej\n6sf+5PIcu5xIKLSIFid9qNVqMjIyAGtgu1wpwW08EbRpofjNJUc2KrlJVneCHYQQJCQkkJmZSUZG\nBoWFhWRnZ7s+V4e+AL9A+GmLLY7XW5RtfA7+9zoH/P7IicM1THtuAZrwARwsPsSr/36N2poLjLEY\neWj5x150Kwk4/T3kvw2fPHLx+6w5D+MXYDBc1BH2ljvrfb/rMXW5kXXnXkHfawYjS7fRDfvZfj5B\nw2vJzbDE2NhYNm3aZFssdFZ1GnCYyecJnTIqygdwbYxP5Nv9WAhBSEgIFRUVZGRkEBkZ6TKsphme\npA23cYqxW/S6Ah7YdfH3P9m/SFUqFTk5OWRnZzN9+nT0er3rTLLvP2wcL+xMScdDQu9YCvueZvIE\nAzz7hvU7/vxFwkQAy0eoKNi3my3+kxzuLyuoyceg0WhcfveWCYsQeW+Qs+ED0kzrWPubWnpPurTf\n542VuzlLIADjzd8C1Q4r3cvGTKfTYTQabSF0rlTiwgb28V5mWsNryU0SEhLQ6/Xk5OSQlpbm2YRI\nwadwbYwDuzv8U3p6OhkZGdx///0sWLDA89LsckD7qDvh1le8t62PIUkSWVlZtqq5bt0wx+trltXP\nHB0ZY0mSmDVrFps3b270ubOFnGavwYHdKT64i7OmY/S2mAj0H+mw2LEc25qbm0tubi4xMTHulSnS\naAEV9I8AE7ArFfZ69n3KDwGtVuuWbzTLfxJDLScxij4MpJJAdRiYHfvM9Xo9e/futVWGDg8PdznT\nNPyxGoQa6UIFZaIH3aQqgqhB+AUBEtRVw9Ab0f5pF8bSCw7bMRqNLo267IaRF2CFEAwbNsytGoMK\nvo9rY9zrCrsfy1KG8qwhIyOD1NRUW6Vdl9z2mi0KwaWgjZNttV7IDmyLzMDs7GwyMjKIjY11L8tt\n8GS460Pr/5MH291Ekqxl0WVDHBYWhk6nIzY21rlft95Pa3sN7nUFZ25/l39+/j4V58x0tVQype5H\nHHnBNRoNYWFhFBQUuD0TU+1cA5MepvTCvfBjAcz9AE5/BVufssYjw0UXlBNkKc3169cTFhZGUVGR\n0+3NdAMEwlJrfbA5Qa/XExERwapVq2yfOTWQIUOhsgQs1vl20IQHMJgruOLndzk2/B4GD77Senx1\nNRhLL/hs4pQcmbF06VJmzZrV6PgdcWzkKHr8YaESDudFWi0UpNfrSU1NZfPmzTZ9A7eYuMj6rzuC\nNk629UZ24KX2gQnRgvpqJ/VWGcxRd7q1+caNGxu9Tjs9Jnl1voEv/ioheKaJL37eE/bbkPUhcnNz\n3RJ6b9Tn5v8BAvpcCcPGWI1VwwePC5eFvFAcEhJiWxh19kAIoZJ8vxH8PWAYU4LKiD7/KThwVphM\nJgwGA+PHj8doNLJy5Urn7pclh0Dlxy8/fEm/f99Ct/xXGK4K5rCqP1Wa0Qze84q1r9PfOT0mX2Dp\n0qUUFhZiMBjccjtx/jxnklM4k5wCPXow6MD3bTPQTkyrjbFGoyEjIwO1Wu2+MT6RD4ZsGHn7xQUq\nRyvHnmzbmYj/Fg5+Yn34OCE6Ohq1Wk1WVhazZ892r23ZCCNZ7dLvP4c+V1sNoRvp3ZGRkZhMJubM\nmUNCQoL7b0MAZ08AFig7BAfqQ7gaPnhcuCy0Wi179+7FbDYTGRnpMornAgFE1R3kttrdVFf6k+s3\nFrCffp2YmIhWq0Wj0aDX68nKynJulD66G6Y9hzj8JRKCjwJu5GjXkcRVf01P/TNWf/+kP8ItybDc\nsxT1tkJ2OxUWFrJkyRIiIiJYtmwZGo3GqY5GI86c4digIQRee62SZt0KWmWMhRCEh4d7PjNtGoXg\nbOXYk207E/0jrC6irf8Pht4INK9SIYQgNDSUtWvXsmDBAsLDw1m5cqV77d+8Bj5fCkEhkBkHV868\naAjlxdKVg+z2qdVqKSsrw2AwMGLECBISEtxaKzj+Szln8j4AaQon035LjX8pb4fMp4zuBGFhXOH3\nzOvzlsP9hRBkZmaSk5NDQUGBTQnNmcE8pdLwUvBdtofLo9WbHLYtGyBJkkhNTXXtgjnyDbwziX4B\nXWHSI9x9S7LXY6bbgszMTMLCwmwZoeHh4S3yQ1fv2qUY5VbgL4RwakkbCp7Yo0X+1qZRCN7atjNR\ncuDim8CYe7FnjOGiyE9hYSHp6enuG+Pc1dYMv2E3W+OZs1dYffHy31wohW3bto3s7GybLKI7xviJ\n1f8CaQoIwQvlCVwfNZBbr+vHx99+hrmilJ1+V9Jr5xdO22hYNcNTScbh6i4Mn7cbnm7+kJExGAzM\nnj0bk8lEQUGB8wZ1SRddaC1EkiQSExNZt866QBsREUFmZqbT89lSt1pYWJjD9RVtvUi9N/zaslEm\nMJBBRYda3d7lgr+v+1tbgqwFkZ6ezpEjRwBrkkqHCvt5/eqL//9kscvNdTod69atQ6/Xu1Y2a7og\nOuR66+cnrdrDVJmgqtxpEykpKej1ehISEmyZYK5Y//pDsLrBzPE41B79IyETpnL082fZHHAtR846\njgOWo1IaJjq4inZoyCFzJZ+8dZ/DtvV6va06h1tx8618Q5MfJuvXr+fw4cM2ZTpXSTWtuWft3a86\nna7RTDg1NdXttYDJpjKOnneyMOqGfVCkda10ukofskDL6tXW+mQrVqxg1qxZbZIh6N1qCEetQkED\nJsCnfwTsi6pLkkR8fDwZGRm26s4umbioPn68fqz7/9XAFy+s/V5xB6y0X8lCdhe0DFGfAi3g2xcw\n/LCNt/ZVUxtwLSP8zewXw53unZ2dbZtFxsbGOg2rGzN8NPsPfUff0L6cKj8FwLl+E4Gtdo9p/Pjx\nLqMzGu/UepdEVlYWsbGxaLVaTCYThYWFbTrBkdOoDQYDcXFxGAwGjEYjaWlpbu2vJJF4D6sSUGsa\n8OBEXoonYNNXK0mSbAI8DUOvnI3T49czdzMCayrhz92tM6jbPSwe2UANjjPHvCtI89+XrRoRWxZC\nRTEE9oDIOBh3H7wzifOBvXhJ9WtW/d97XuvzsXWPM27kOOb9LxYRrOZMdS17xRA2B93EgEGjOHz0\nRyyoGCzMPPn4371ygyesWUpNXY3ts+GDhpEw50H8u/TwjlCQp2JJdkSkVq1aZYtKSU9Px2w2k5CQ\n4NAP3lpXgqNxpKSkkJSUhE6ns2mnOFOYkwWHBh+3r1TY2jF1dFoiFOSVmbGvncjo6GiysrIoLCx0\nLyGhJTjKCPRW9EcjV8JT3hlzPeL6PzX5pAJrUomcWFICvAdYfYneeIBW11SzY99Oxgy5h6snzeXs\nf99gyomvEUFD+GexH5F9NOhLzlCMe64kd+LLU5c1j/JYhnXRTzY07f2KrNVqWb16NTqdjvz8fNt1\n25YIIVi6dClLly51e59uDy3i3BtvXsJRXYZIdrBYLNLatWulm266SVKr1VJaWpq9zaT6WbXDv7UF\nTfu3WCxSXl6eFBISIgkhnI7dURsuSVJJ0gs9JWntYEn6+CFJqqu9+LeSHyXpr5OksN5dJKyBY636\nCQsbKklJwmvn2dN2vNFvS467LcbVmna8cR4tFotUVlYm5efnSxaLRbJYLFJCQsIlvd+89X1KzotU\nUAAAFH9JREFUkiSdSUvzWnvml15udTu+RP158UhRsdmZtFgsUlhYmARIarVaevfddyWLxeKq03bD\n0UVeWloqrVixQtJoNFJRUZHHbThl9xuS9MteSdr+vNUw73699W06G1uSqsMbY29v3xmMsSRZr9X8\n/HwpOztbKisrkzQazSW937z9fTq6/z744AMpPDxcWrhwoVRWVuayveKBg6XigYOlU7Pntnp8vkBL\njLHdFQj59U+r1RIXF9chHexms5msrCwkSfJ+efCmGsYn91p9vM/4X/zXm0x6xLvteUj7SG62He19\nTDk5OUydOpU5c+awYsWKDnm/NeWJJ56gqKiIsrIyevXqxb///W+39qvetYtjYeGXpa6yXWN8//33\nA9b0UDkqoaORlJREYWEhmzZt8u7F3VTDuKFP+OY1sPQoJB7xXn8A6qGEDRncaqPYUiPy8AuL2bYx\niexvs3j4pT9y8MhPjp/w1eeRklRIW6zxt5KHscCAW9rG3qTpMWTn5ViP8+ghh8fpLT+z7K+VJIns\n7GyP/La+iCRJ5OXlUVRUxMGDB/nggw+YNm0aeXl57jdSW8uZ5BRKFznQqumkNJvCCSFsyQMZGRlk\nZma6n0jgI8jH4HbVA09wlBH4ycONleW8yXcfYlhshoB+MPoezkc/R5eX1JwnkArRlVe7zOWsqhtB\nfn6MCw1g3q33oTr4SbO6aYDtppfLQIE1RCwxMdFhfPJYi4GPfrZQd/AUY3pYoxIaYWfR8lTQwBYf\nbkNDJ4Tg+bS/UHy6GICuwV2JGhXFvFt+a3dfqT60Ua/XYzQa0Wq1DmsNNsWm51xXy5jhYxg+eJjr\nnToY3gi/dPVALy8vJyoqimHDrOdvwoQJLeqn6j9bOPafLdC162UhSmT3fVpOczYYDEowdlMcZQQ2\nTaSwg1SvspaSkoLJZGLvXqvgkVO5S2jWn1/1BYonLqf7FTdz8tu/8pujX+M/5h4OBo/k6315jH33\nLiICSh02JydMLFmyBI1G4zL1dX6/c5TdMI+CvE/ZcqSCHR+/yOQ7G1QWtvOACo1+HFhh9xy88MIL\nLF++nPDwcPLy8hxWTJaRDfHYEWNZNNuaaDGP5sZYkiTGjx9PYWGhLa5cCOG2MQ7rP5TlsU9Q8GMB\nW775mB37dzJ5zHVu7dtRaIv7uby8nF/96le2kDWTyeTyO3ZKvSjR+Y8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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "#----------------------------------------------------------------------\n", "# Locally linear embedding of the digits dataset\n", "print(\"Computing LLE embedding\")\n", "clf = manifold.LocallyLinearEmbedding(n_neighbors, n_components=2,\n", " method='standard')\n", "t0 = time()\n", "X_lle = clf.fit_transform(X)\n", "print(\"Done. Reconstruction error: %g\" % clf.reconstruction_error_)\n", "plot_embedding(X_lle,\n", " \"Locally Linear Embedding of the digits (time %.2fs)\" %\n", " (time() - t0))\n" ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "ExecuteTime": { "end_time": "2017-05-28T11:10:29.082188", "start_time": "2017-05-28T11:10:25.675830" }, "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Computing modified LLE embedding\n", "Done. Reconstruction error: 0.360651\n" ] }, { "data": { "image/png": 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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "#----------------------------------------------------------------------\n", "# Modified Locally linear embedding of the digits dataset\n", "print(\"Computing modified LLE embedding\")\n", "clf = manifold.LocallyLinearEmbedding(n_neighbors, n_components=2,\n", " method='modified')\n", "t0 = time()\n", "X_mlle = clf.fit_transform(X)\n", "print(\"Done. Reconstruction error: %g\" % clf.reconstruction_error_)\n", "plot_embedding(X_mlle,\n", " \"Modified Locally Linear Embedding of the digits (time %.2fs)\" %\n", " (time() - t0))\n" ] }, { "cell_type": "code", "execution_count": 12, "metadata": { "ExecuteTime": { "end_time": "2017-05-28T11:10:50.555744", "start_time": "2017-05-28T11:10:46.898810" }, "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Computing Hessian LLE embedding\n", "Done. Reconstruction error: 0.212783\n" ] }, { "data": { "image/png": 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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "\n", "#----------------------------------------------------------------------\n", "# HLLE embedding of the digits dataset\n", "print(\"Computing Hessian LLE embedding\")\n", "clf = manifold.LocallyLinearEmbedding(n_neighbors, n_components=2,\n", " method='hessian')\n", "t0 = time()\n", "X_hlle = clf.fit_transform(X)\n", "print(\"Done. Reconstruction error: %g\" % clf.reconstruction_error_)\n", "plot_embedding(X_hlle,\n", " \"Hessian Locally Linear Embedding of the digits (time %.2fs)\" %\n", " (time() - t0))\n" ] }, { "cell_type": "code", "execution_count": 13, "metadata": { "ExecuteTime": { "end_time": "2017-05-28T11:10:57.324885", "start_time": "2017-05-28T11:10:53.914806" }, "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Computing LTSA embedding\n", "Done. Reconstruction error: 0.212804\n" ] }, { "data": { "image/png": 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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "\n", "#----------------------------------------------------------------------\n", "# LTSA embedding of the digits dataset\n", "print(\"Computing LTSA embedding\")\n", "clf = manifold.LocallyLinearEmbedding(n_neighbors, n_components=2,\n", " method='ltsa')\n", "t0 = time()\n", "X_ltsa = clf.fit_transform(X)\n", "print(\"Done. Reconstruction error: %g\" % clf.reconstruction_error_)\n", "plot_embedding(X_ltsa,\n", " \"Local Tangent Space Alignment of the digits (time %.2fs)\" %\n", " (time() - t0))" ] }, { "cell_type": "code", "execution_count": 14, "metadata": { "ExecuteTime": { "end_time": "2017-05-28T11:11:09.808478", "start_time": "2017-05-28T11:11:04.274493" }, "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Computing MDS embedding\n", "Done. Stress: 149352679.953551\n" ] }, { "data": { "image/png": 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OENOM2xl8Ph+DTh3Crp3+OX/Ch3G5HUjLklKSm5vLrFmz+Oqrr7jgggtISkqioqIiaJ/t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Ml8AdHY2CiOnjoqfivcL/677X92xzWbzaKpqUmMGDFCADa/Y4DYmrNN/b8yfuvztQblfXN0fmaz\nWaxYsULExMTYPT+t0DyWS6ySTs+MhZCFTsaOHUtSUpJLbaKdBWXRQnlk1+v1Dh/fe/+0XRVhVxbx\nlMYLR3CURauwzLiU393caDpxAlFTg1uIkaaiYsfjNKOiokLtNoqJiWHOnDmkpKTY/QysdSa2h3es\nQGE+TJkyhQ0bNhAaGsq6descvt9a6AV7eVkxkLzWktctYNuLUFkMk+xzYVsga0mH5tUalt55isv1\n93u+Z/dvu+gWIJe+vvrha7764Ws83D0YNnAYX6avocncpLYb19XXETVmMj0De/Df7/9H3uG99OnW\nmz0Hc/Hx9CKwe5Am7i9ubm4cKD7I2gznXHsqKirIy8sjIiKCuLg4m9vdNPxGddHxbMVZhFmABF19\nu9rUsWj5vjlGQkKC2ol3OeKilCmUN0HpoLpcoIj0ZGZmOrxJdESE3bJ9ubVCmktB53hzW2urxo0B\nfl1t7mI0GtVupGnTpjn+DKx0JnYkGIMckKOjo1m7di3x8fGkpKTYNYk1dPPSzJmiBSyplVdNgQNp\nMHA87Pq3U+3YwAVmxjznRWscwbI27OPlw1XGq7hh6GhWff0RxaeK6aHvzj/+/Li6uHf9NdcxJTK6\njeGoUnceYhjC3sP7OHb2OALYc3gvb33ytsq4cMarz5KN4enhidlspqGxgblvzGPYoGEsiH2WPYf2\n2C1TSJKEXq8nICBAvQ5twc3NDbemtguZ9068x6ZAkOX7Zg9CCGJjYykqKrrkdWF76NRgLIQgPj5e\n7X2/3GxPRHNNs7i42GFrbUc1HWxl0Z0SdJr/FhUVxYwZM9SFE8XGx+F4Grl/KEI+RqNR/ewrKioc\nCiIVzmpAWtTuw9qGNWrluH/By/7ONx81Z9YGQ7Bmq/jWvPNkSttJNu34hjOmsxwqOUygfyACQUV1\nBcG9B7TRoLCsOyNBXX1zwwvQZG5U53u18SqeiZmnBtucA9k0mRtbLARasjEys7PI2J3JfRPvIf94\nAT/9spOBfUPk4zsBxcjXEWwtZNqC5ftmS/VOiAvO7iC3qF+u6FQPvNjYWPVNuJwQGRnJkiVLMJlM\nxMbG4u/vb3fxDnC6NHC5IScnh4KCArKysigsLHRKlUsrMSGlRDV16lSWLVtGQUEBaWlp5Ofn29/x\nlmcA7bvSmvSDebF8PoXHTtHYaCYx6ia673rH+eajJToUelzhDAkkN7jjzZalj9Zu1Xe+aTXjVp6I\nnM3WLPm8ltlorz69SI6XF2UV8fZdv+3i6x83YuxtoOhkEYY+Bnbs/anFQl99Qz119XWAoL6hnu17\ndzB04FDCr5RvmpaB0b+LHMC+2PKlOtfPv1uNn6/tQCmEYM+ePeTk5JCcnExFRQVJSUmqznBrmM1m\ndDpdG4dpZ91AbM0hNzeXJUuWqCbFl6tIEHRSMFYe/VNTU0lMTFQdli8HKN1RkydPplu3bowZM4aM\njAyHXwhFhN0rYgwVixIw/XNBG2GdSya6YweJiYkMGjSIiIgIp5yy+z50lJpPliL1HanJjcdoNDJ5\n8mRmz55NRUUFa9eudXjjIzKBzgjGkgThIwwE+ZrZue8kfDYZfOpdaz7yHwDnS8HDB4be23Y/JwWQ\ntKSEvrDyX5RWlOLh5o6xr5HuAd3l0pR/IEWnivH29GmTZfp4+fCXCX+mf89+/OebTzlQfJDTZWda\njG0ZGHsF9aKsopSGZreUv0U9ROgVI3j58X/ZnFtkZKRao3XU3bf3yD5Crxih3lBal2Da+96EhYVR\nVlaGEIJVq1ZddqVSS0j2Lojm1Xf7AzTXXS2hPP7n5uYSERFBbGwsq1atoqCgwOZjsrVxOgqtxlTG\nsdYC3bo92nvS7dTt+AlRXg4+Pui6drUbmLWYoxJgtRin+v1Eqt77DNHQSJf778PfUmTIwb6avdc/\nvIp081yr15WyGGw0GtHr9URGRjJ79myrAd7WnL7csJMNm7JJfOEBugfZrre3wRI3uaXawxeG3C0v\n+llaGrVu998yv23m7GBurkKSJHIO5FJXX8sXW76ktr5WLkxI4O3pTV19HWZhZvjg4cyc0vLGYSlT\nCTDnvvgWmWhDYwNlleXs/GUnm3Z8gyRJ6CQdTeYmJl4/keiIyR0+Dy0WakFerK21Y+YghCAwMJDp\n06e3aAG3hJYxqHksl+pYnSIUpBTuFQ8qpV7oMCO6zGHZAu07ZQqSj48qrKO8VrtxE75/nCrvcP48\nPlGTqUpK5vymTeo41SkpnLz+Bk6E27ZaEkKo3VsXk4HSpe8heu/4kT45u50OxCzRzmMNgJ/ftvmS\nyWRqsRicmZlpN9s5W1al3bzufAtiMuG6x+RFv+xWHmxKTfqD62H76xet3T/sylBGDxvN3bfehSRJ\nxN83mzefWs5Lj73IghnPcvctd1kVm685f04NxABp2zaofnUlp0s4ciwfN52O2voLQU7hLGulS6GV\nwFRdXZ3DY8XFxV2WZVMFnZIZW0IIQU5ODqNGjaK8vNxmQL5cM2Ot7tzBQUEUlZa2ya67TJ1qMwMc\nOXIkIJ9Henq6zQ4mLTNjkaCzWee0iSVuSIvM2mXGCRLSImF1PLPZjJubW5v3w9Yi5pnSSjX71eqz\nNBiCKZxRIgfaP7zTrjFsPVGWl5fzyiuvsHnzZrURafXq1UyYMMHmOIeOHm5RZ5055ZEWtK+8w3ms\nzVzPPRP+wq1htwBysD1rKuXYmWMcKj7EoZLDADwS/TChV4xo01ihiPboJB2NTY1MuH48UyKiO/wd\n0/rp9VKP0WoslzLjTqe2SZLEyJEjNQ+0Fwtat3u3FhiyhczMTAICAkhPTyctLY34+HhycnI6PA+n\n4LKs6cX7bCVJYsyYMaSlpTF27FiX9tX0s5TcHC762TPWtIX8/Hyys7OZOHEiEydOZPPmzcyfP59d\nu3bZ3MdanVXvp7frOVdwvJCvfviamtoa3N3lMCBxoa5syVQoOV3CweJDbNi6Qa0Zdw+4vAWlfo+4\n7NuhywtOkPHshwBM+fhZJJ3zNxutTEu1wonwUbj1lo03FfqYLZhMJsLCwggPDycsLIzU1FSHjhGa\nwFlmAdDUZObFxDSMFX8CbAuYa43o6GiefPJJp5yMOw1OlCBcNdaUJIlRo0bx7bdy6evIkSOsXr2a\nRx991O5xFJ0GS6qbNbqcJbrru+PhLlPT6urrEAJE2TW8+Op3NDY2kfjCg+oTRVVNNem7MjALgZeH\nF3UNdZoL4v//uBTi8i5i70ebcfNoX02ysLCwY3WoPXs0PZeAhQtoyNsLQmCusm+Fo0ARrY+Li7O5\n8AAaGcJ2d03WVGEnVJr90Qf26PDxJanZlPZO2zVj5b0IDg6+tOaSk5Id2jS1x1hTSR7y8/O58sor\nCQwM5OGHH7a7zyeb/sPzK15sY7dkD0qwXhr3Ggsfeo67bv4D9W6nCTZ0hVZaD119/XjwjgdY+NAC\n7rrlTiRJoqm5ttzR684ahJDNZ2NiYggICFC3tbX4//8KLuvM+NjP+zlfWknf667i6I+/XPTj1367\nWdPxfKdMofypuVBbq/KWbSEsLExtllH+b09kx5r8qOJ75//PZ3Dr2ZPy2fEEvfcuTadOXaDgucCY\naA2dTsfdI2DPL+U88sDfWThqF12KN8qUrz/+p11jXoD1mrUQsl6wyWRySnL11OkK3N3c0Af4dnA+\n7UN7eLOSJHskGo1G5s2b57BJxl4GbA/BwcEcPXrU6msfvWN/zcDSSqlbz+7cP/cBdXHvygFXMMQw\nhP9+/z8mXDeeW8NusVq3BttKaWlpaVRUVLB+/XoKCgqYM2eOQ46wFu3elxKdvoDn9ERajWNuMvPd\n0+8w9J5xnMg5RPHWPJfLFB2Faf4zBL7ystXzE0K2Ap86darTEoFCCE6Ej0KnD0Ccq0E0NNA3N9vm\nQtXAgQOJjY1l4cKFxMbGYjQa27QRa7co1U496dKDlK2cik/1Eby6dEV3/iyMfATuetf+for6mRDy\nv49kQ68RKj1MuukpqwtchYWFhIeHU1FRQX5+PiEhITYPIUkSf/37O9x6wxAenjbW5qLZ+vXrSUpK\nwmQykZcn18u1omEq9DClnvvAHfdz47AbnFr4fvTRR9myZQtHjhyxe47t/f5p+d09cfYEaVv/S95h\n+f0bddVIsvfn4OPtQ31Dvc22a1tzUJ5OU1NTiY+PJywszG4/QGcQADqCS7KAp1VdtvVdqWBLNp5d\nfel73RBO7Ja9r4TZjKTTmEZlB7YE4hW2Q2xsLCNGyPW/hIQEpzR6RXU1npERqiMIdi6uuLg40tLS\nWLduHXq93irF7ZLrSddXk+77CBvyPUicUkP3HfOgt5U6buvgC3DbUrjmz/LvXeRaukoPszHHkJAQ\nl4j7q952bPiamprK1q1bCQgIYOHChURGRnYsS2o+VyEE7pKE531b2rQu24IQgldffZXy8nJWr17t\nlLCNqwuFyvZawlRdoYq/A/yS/ys3h97cJvi6gj179vDQQw8xa9Ysli1bdlmt/3QGOhyMO8ud49zJ\nMsoOHWPdgxc6sf73yOtMXjGvU45nDd4Txtt8LTMzE71er7Ie3NzcWP//tXfuwVHVWR7/3gSRMJh0\nojwU6O5F1HJnoDvgrLK7kA7D6pSllUSsda0SSaKjojN5uM5o7UBeDqMM5IUiqExCx1rLVUk6GQbH\nXSt0g6OrrkkHa3wUSB6CiCFJd5AQHumzf3TupR/31enbj6R/n6pUkdv3nvu7l/S5v3t+53yPzSb7\nKjWyt1l1VRvHcSgtLVXVdDOWfOvmcObk1wDdiFP/+xamLSmCTirm7Ot8axd61c8+2Ha5gAIArr4R\nePgj4BfR+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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "#----------------------------------------------------------------------\n", "# MDS embedding of the digits dataset\n", "print(\"Computing MDS embedding\")\n", "clf = manifold.MDS(n_components=2, n_init=1, max_iter=100)\n", "t0 = time()\n", "X_mds = clf.fit_transform(X)\n", "print(\"Done. Stress: %f\" % clf.stress_)\n", "plot_embedding(X_mds,\n", " \"MDS embedding of the digits (time %.2fs)\" %\n", " (time() - t0))" ] }, { "cell_type": "code", "execution_count": 15, "metadata": { "ExecuteTime": { "end_time": "2017-05-28T11:11:17.014854", "start_time": "2017-05-28T11:11:13.273775" }, "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Computing Totally Random Trees embedding\n" ] }, { "data": { "image/png": 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qqsjKyvJ6jDxwgJiszH5JsbN8+XIWLVqEzWZj06ZN/j3XHItcYQYD1vseYP/b\n7xB9xRXOzXvKy9nzx2e9Hq7qPW02G1arlbq6Or+LeGEjRmDv6IBDh/hw1GjC4uKwWyzEZGcRX1zk\nrNPe2Ym0WAhPSqK7paVHm0VsLNJmI/KSmXT9dzUH3n+fsIQE5N69HPrmGyVWht1OTOasHv0ee8/d\nbK+tY9gdtxM+atRRiQMthGD27NnMnj27X+sdaOhqCp0+UV1d7Vx8sdlszJo1y++CFQcO9MsDL4Rg\n5syZ1NfX09jYGLB7tTe3ZteAQN5QVRIlJSVMnTqVtLQ00tLSfNZn37yZITfdoHzp6iJ61jXQ3U3U\nZZf2qDPy/PMAFEEshDNJKVIi9+4FYHhpKZEZ6Uq527cr+0VEsOf5P3sUtL7iQIc6drVOT3RhfIKh\n9QNmNBqxWq1OnXF6ejoNDQ0+jwk3GQd08BhvcSlczcM8IYQgKyuLxYsXU1VVhdVqpaysLKDZeGxe\nHmLoUKBngB3XOt1jZIjIwc54FpEXXghhYYghQ4hITHT89iMlwLsjWpu3oD1qsKAxG9Y5Y0n4i0Sn\nEwJ86TA4BnQzOoHT1+Dw7veD3W6Xy5cvdwYaV+MSp6Wl+SxDa52kVvcpqs7YS1wKNX6E/cABTesM\n5jNu1Cinw8bmM6fItkmnydaERDlu5Mg+65yNRqPfGMzBBODXss8GOuhOHzq+CCZWrz8yMzOJi4uj\npKSE8vJySktL/Ubz0kJF4RrDWEsGpaZ6Td0UqvRIvX1opZQ0b9vmVFXYOzqI+el1IATNO3YEVZ7r\nx18oUX3WHBr0BbwTCK2DwwshiI+Pp6ioiHnz5mGz2TAajeTn5/s8TgsVhRrDWG2HVoTFGxj15hse\nt0VdcjG7S0r92jb3F1GXXsr+d95R1ByL8ogYnwy53vXZvcF14AkfHt9DZeM6qHtb6PSEmoOwrxwL\n2bODQZ8Zn0CEIji8uhKuBhs3m81MnTq1z23tDVolGk2KieHARx971acHYtvcn+x/910IDwMpEUOG\nMHTuXM3K9hW7OthBPdDs2a7ZsqWUbE6dxvabbnZuP14dQnRhfALh6wFzfe339gH/rsyqs0N/EuhD\n7ukDsP1nP8dWVMKHhuFEXX2Vz1dvdbFLa6RUsi+np6cH7DgT+9BviLr0MkDxrNMSX1YWocz40h/l\nD1j83KjB6K51BjDeYvVqda39ldNf9fSmnNaERMXxYmxSwMlWtQwur2Z+TktLk4AUQsgNGzb4bXe3\nxaIEw0/XX9oTAAAgAElEQVRIlFuvuErufX2FT8eKjo4OGRcXJ1NSUqTFcZ7eyvZFoAH4gyXU5fcH\nBLGApwvjE4BAVr6PF2Hsmsk40EDlbaecKrdcNMNpKSFlYCnmVTylmt/6k2sCHvTsdrssKiqSoGRf\nXrVqlUxNTfXbbrWtrp51vvpFrUP1SvRVtj/6mvHlaJcfanRhrHMEgZqzHQ/C2G63y9WrV8u4uDgZ\nGxsrAVlcXOy3nM2p02T7j34sk2JiNJntJsXEeJzJ7S4r89ruxYsXS0CWlZXJ7u5umZKS4jetkavw\nV2fx3srPz893ZtLYuHGjTE1NlY2NjV7L1ukbwQhjXWd8nBMKczZ/aBFAJlhqa2ux2WzU1tZSVFRE\ndXW132Pknj1EnDKBls7OPpuFSSlp6ew8wmLEX/bnBQsWAIejzOXk5PjVHfcmMWxcXBypqank5+eT\nnJzM/PnzQxpOVKf36ML4OKev5mxSSmpqakhJScEUYLB0X4Iq1Cvh6gKiEIIFCxZgsVicmZW9tnf/\nfq9edVrhK/uz6r0Ih7NAW61Wv+32Zg/tCZNLVmeA1NRUv+Xr9C+6MD7O6cvKtJRKSMh58+ZRXl7O\n+vXrKSwsHNAPcVNTEzk5OaSkpDiFnL9YGYEIs75i9zMACiGYMmUK5eXlJCcnU1hY6Ncyxd2F2VfZ\nmZmZVFRU0NTUBCgxRQbydTwR0YWxC4GYdwXyORrmXd7wZc4WCHV1dWRmZpKamkp8fDzjxo0b0A/x\n/Pnzqa6udgqdlJQUv+31J8y0QB0UfVFcXIyUSraQoqIiysrKNKtfCMGcOXNITU1l6tSpFBYWMldD\nu2QdDfD1SskJpsjX6nwHWr8Fm3peXfhZvXq18zugWVLPvuCtHrvdLqdMmSJNJpPMyclxZhwOpBxf\nZXZ0dMiUlBSZk5MTVNtUc61Q32O+yu/u7pZTpkxxWlN4ixk80O7fYxF0a4q+cbwK40DwJYzLysqc\n34EBEfjbl+Bct26dnDNnjtOMK9C09t76QDUJUz+BWGh4wps1RTAEI4z7WrY7wQQLOlEIRhjragod\nn2RmZlJdXe18fdYqvkCoEEIwbdo0KioqnAuGfXXPVmMUp6SkMGfOHAoKCoIqZ/C0aX1qhzu23z6u\naXm9QQ8WpD26MNbxihCC1NRULBYLdXV1VFdXhzSh50CnsrKS/Px858Jmb1Fz0mnFvn+95XefYNZB\nAL9rIEfDZPJ4RxfGfpBSiRmQn59PXFwcQogTbuFj/vz5ZGRkUFBQoOmi0rFCamqq89onJyeTmpoa\nlI2uP4uK3iJ37/K7jxrdri8fdTHU07loFQFQRxfGAZGXl0dhYSHZ2dmsWrWK6upqvxl/jxfUqGzq\noBQfH3+0m9TvqGmTamtrMZvNrFmzxm8qJU+EnXQSSTExmkWYE8NitT7VXp0LnIDBfEKIHs84AKxW\nKykpKZSVlSGlxGg0Ultb6zPpps7xgRqzOS0tjYULF2IymZBSBqWuibrkYj4sKYV4SdSsa9j/xj9B\nSqL/37VEzZiBZWEew59/lq66Nez96yskbPoBMWgQ7VPPRowYTvfX3xB58UzCExLofOlloq860ja6\nv3T6rrGdj1Yi0+MNXRgHQFxcnDPPGyghG4/XmKrHCv0dqLysrIzx48djtVrJz88Pqm41LOWuJ59i\n/z/fhOhoIs+bzoEPP6JrzXtO55ODX30N9AzsHpWehv2UU9j/1r9BSgafN524h35zRB3u92WoBLN6\nLnv++Czy4MF+cZw57vGlK+IYNNHqC57OVw3iIoRwfo+Li3OaewVazkBHqzar5XRs2ixXXL9Urrh+\nqbR3ezeFU+nt/sHgz95a6z7wh7dz1jKEpLe22O12OX/+fDlu3Ljj8n4+2hCEaZs+Mw4A9dXUYrE4\nA9EEozM8UbA0tlPzmxd6dcznL71L+KBwug92h6Y9D/0FgOyPPkSEhf41vkedLz/ksU5v5xzMrHNP\neblz/yE33kDsPXd73Vc6TP6WLVtGWloaK1eu5OKLLz7hFqYHGvoCXgCogreqqorc3FzS0tIGlMuz\nFmiVushoNPLpH/1HSnOlbe037Nu5i4RzJ4fk3FSh15/4q9PfOasZRQKJPRGMza/VaiUtLY2srCzi\n4+OZNWuWHsXtKKMLYz+o5kxPP/008+bNw2AwUFlZOaAdH4JhQ82HrLh+KSuuX4q92x60GdT7r77F\nnvadjJiUFFC99m47X/5tFWfecDEiou8C05NdbVp+Dlkv/oZr//YIYeFhAdnX9nWw9SVotT7nYGx+\n6+vrMRgMzoXI+Pj4426CcayhqykCQAjBokWLWLRo0dFuSsjw9spsMpk82pn2ilcXYzQaPS56Nq5a\nz+BhMSScO4n2dd8BIO12RFhwQso1a3Rf6Otge+YNF9O+4XuP24I9Z2+qj2Bsfk0mEyaTyfnWV11d\nraspjjL6zFjH5yuzFk4D0ovjAMDeLR10fN9G5U2P0fz+Z4DkzdueCvEZB0awqpoxI0aRcO4ksCuD\ngmXTZlbe8Cgrb3gUaZdBn7M31UcwNr9qXGNQ7Kfj4uKIi4sLtGt0QoA+Mz7BcX1l9jaTCyUTf3I+\nSRedBc+fyzc70mjfcyozRv8etl4JJ0/p9/a4EswM+7MX3+GH/3xC5U2POX+rzS/r8dbhPGfgmxVr\naF//PTNGL4OlD4GUShD629bDyVNcZsOSmJEGEs6dTMsHX/aoMxibX5PJRH19PVVVVSxbtoyioqLj\nTvV2rKEL4xMcrdUEvSV6eCzRw2Mhup0LfjEdTr8OuBWGnKx5XVJKFi5cSFNTk9+A8yqBWEW4coSg\nXfcdUfFDOek0o1OIOs8ZuOAeR4aRwny4rMhx/jjP36k+OnCIM2+4mC31PxxRpzfrC0tju8c2qkH3\nc3JyWLRoEUVFRSd0zJGBgq6mOMEZUGqCukJ44Tx471HNi1bNuSoqKnoleDyqBgrDYWnE4b9bP3Nu\nih4eS3zyGOKTx3Be3nUMHTOclDmXB7ZQ53b+qvpoWKKihkg457DqQ9rtPQ71ZH3x+UveAxMJIcjN\nzaWxsZHs7Gx9VjwA0IWxC1qadx0rTPzJ+WQ8dgsZj/2CMdNOBQQzHpnj9zgpJfn5+U4zv/T09L5l\nALnqGciphXPvhE+fg/XPB1+WF/Ly8gAl+eeGDRv8hsL0aX522dOQ14J19lpW5lU59cEqlsZ2qm56\njD3tHXxc8rpTeLoLUSdu52//9Dmn+qi76yAAVTf/NuABU227zrGDLoxdMJvNmixWHUuu0q4zuQvu\n+RmzX3kYQ/KYgI6tq6tj4cKFbNq0ieLiYlJSUoJvyDl3wMlnwXkLle8us82+IqWkvLycN954g8rK\nSgwGA9nZ2X7tan2anzlmsZ0r7vW4qOY+K215/3N8ClG38298f6NTfRSbeBIIQVphbkADpus6gM6x\ng64z1gmaNWvWUFZWxpo1a5wJQHuD02tsfydDZp5K7MOPwndvKgtYJ3sW7L3V4aqoweYBsrOzaWpq\nori42OcxXnXpVz0DSRdiqyljzK5SUs6awPr1h+2q29Z+w+7NOwgbPAj7AWVW++t3n2Hzjq3KDmUP\nBNDiIuVP4TznL6P/XUq7ZbvfI13XAXSOHXRhrNNrpJTU1tYipSQjIwOTyURDQwOVlZWkp6cHVIbq\nNRb78EOEx9ix/Oa3nPXiNJot+5QdFv8S+KXvQv72SMBtTklJoa6ujpkzZwJKBhN/Ufc6vm+j8sbD\nVhH/vPVJMssegHPuwN5tZ+0nSVxsgBjZAijC2N5t58tXViGEIHbsCKyNWwDYvGNrn+2fAx3sXNcB\ndI4ddGGs02uEEKSnp7N69WrS09ORUlJQUEBtbW3AwtjVayzMYMC6tITmttaQCCwhBCUlJaSmplJV\nVcUbb7xBenq6X+GW8dgtbPjzm1jNW0FKZjw8B9rXg7mG1m1GkmM/AiHYF6asEUi7ncbVG7Db7USf\nFEfntqMT89rVoiPh3Wf6vDh3LK2BHMvowvg4QQtPOXcvOW+mUVJKbDZbD4HW0NDQKw8uT15joUTN\n0KLqiQOxqOjcYePg3i6SfnQGLR98ieHlcSCUvKRj7eEctEex0Xoun309GlUfbEqfSuc2a8gEsbRL\nv6oZV9O5tu1bvO9YGA5RBhgUA5OugSt+D/1k0qhzJPoC3nFCKNLr+DKNqqysdMb3NZvN1NXV9SqS\nnSevsVAjhHDqjgOZwXtcwLu8CPJaOTDvK/blfMOIBSsZM20y6qLaxJ+czwX3/oxIw1CGjQ0s84WU\nkuLi4v53R+4HCxadwNFnxjoe8WUapc4yzWYzqampNDc3s2rVqh4utj4pDCdq+2B2yxF03moi/OoC\n5P79GrZeG45YwCMMUVcIHzxF9KRriHbMJJ2OGw42f/odQ0YZSMvPYd2z/6T5/c+91iGlkty0sLCw\n7/kFC8OVxU83Lz6vnHOH8nf4KbD6YU0tWHR6j/Clo3MEVO/H5ugEixBCE32rlBJ7t523F/6BfTts\nXPvqYs0C7zjLKQyHy4vYswH2/OVl5KFuhtxwA3H33eu1LtU8bd68edTU1Hid2WrRD2o5K65fChwu\nK2KQYNbvMuH7NxXhddUf4JwjFxlVl2jnsRKv/SilJDs7G1DeNtS3E08R1IQQ2Lvt3tUUjn7t4cXn\nTe3g0H3z7n1qSwABt2846m7oxwOO+7BXynpdTaFzBI2r1nNw737CQhkDuK6QofueYnTBuYxZt9Zn\nzF4pJVarldLSUuLi4vpmz9wLzrkzU5FRjs9Fi+cFZAvt6kgzeEi01/KllFRVVVFfX09xcTFWq5Xs\n7GyfrtpenUZUAvRitG3rpOONEkVFNXgIpObCwiY46Qzf5euEDF0YB4mnuLnBfEIZQ1ZKyYYNG0hP\nTyctLQ2j0YjBYPDrKbe14QcO7evCHoKsG0CvdJWqIM7NzaWhoYGysrLA1SF9xHjRFK59dbHzM/yU\nscp1GxyDyLcjfvKsx+upOtJ07rAxKCaKpAvP9FqH2Wx2ZhovKSmhvr7ep+7dp+ddL/q1oXoT722+\nExAQNgg2vgPv/9Zfl+iEEF1nHCQDJW6uP6xWK/X19VRWVjp/8zWztHfb2dW6nTNvuJgd3zTDqyFo\nVC91lSUlJVRXV5OTk0NWVha5ubmkp6d7XPCKjIzULFFpMJ6Uat2BRsNLT0+npKSE8ePHA5Cfn+/T\n0uOC06PZMv185MGDnN/aTLOvuMX5dwJ3+m2zMSka8yt3Ktdi1FkeVS86oUcXxsc5VquV1NRUp461\nqanJp7BqXLWeKMNQJl59Prta/Ht79RpVVznxar/edip1dXWAIiDz8vKoqKigqanJozDu6upyDpIb\n3/mUlv99jggLo+O7FqRdklnxIOGfvQBJF8JzqYBUzLtOuw4x63lNBljwHA3PHSEEqampNDY2UlJS\nwt133+038/SBkqcUR5mTR9E8e7Z2E4LzFuqLeEcZXRifANTX15ORkUF9fT1CCMrKyrx6n7l7b402\njNRspgnA4KHw5d+hrkCxbz33Ljj7Nuzd3nWhy5cvZ+rUqRQWFjp/y8zM9Lr/yhsUfemEy8+l4/tW\n1zU4/nX708wqu1/5csHd8OFTEJuE3NC7BKr+CNQLTu3b+Ph4QBksfaquXBxlNGXtMwENjH2hN0lT\nT0R0nfEJQGpqKnPnzqWjo4P58+f71Bm7R3F75soFWDZtDthWuftQN2/n/YHWj75i7Z+qnTn1nK/8\nI06FX3wMD+yCu7fAFaUgwmhctd5je9QchBaLhVWrVgGKIF6wYIHXc1AD90y4YjrRI2I584aLiR6h\nOEGk3zkVPnwadnwDOAaZHd8q5mAacmQ0PO+o4SyllAGtIaiOMpry4VPOgTEUBJM09URDF8YhQEpJ\nY2MjJpMp4CDmoUAIQVZWFjU1NeTk5CCEoKmpyecCWF+iuIFbkBovsXc9sXdLh8/zEELQ0NAA4PdV\nXg15uaX+B6KHxzLx6vM56XQTCMHQcUnKzPz5s2Hdn+CsG7FN/DVOwewFNWSowWBwLrj5wr0ftUR1\nlPGFlJIFCxYE3F7XgTEUBJM09URDF8YhIjs7G5vN5vN1Wit8uS1brVZnItXS0lLq6urIyckJWVuC\nDVY/8Sfn+9wuhCAvLw8pJVOnTvW9r8NjzmNbHnxDmZnfvoFDw07hYP0/iPzyWcx7LvRantqPFRUV\nzplrQAIuRHS+9hqdK1Z63a4Gclq2bBmpqal9ym2nhdWQyWQKKmnqicZxqzMORayGQFA9qhoaGli3\nbh15eXk0NDRQU1PTp7b4wpfbstVqpaysjNLSUoxGIytXrgypaZjH/G4BBKtXYylogmNGfsqV0xk3\nY4rntow4lQ92LmTnxhZkt51xaSnAe16LzMvLw2q1snLlSpKTk0lPT+9hoeKOe6hPrXBNr+SL7Oxs\njEYjy5cvZ/bs2X6tNLyhhdWQEKKH+3v48PiAkqaeaBy3wlirm6g3qDMo15t/5syZIbUl9ue2nJyc\nrNksLugBzi3UZbBmY4GizIJh1QPPM2u5sljnripQ+23wkGi6du2lua7BY1lSSkpKSqioqKCoqAiT\nyYTVavXteLI0gs+7lvVIQqoVQ+fOZejcubSt/Qamn+axvbW1tdhsNubOnevM92cwGPrubt0Hgkma\neqLhV01xLDg3DCRyc3Mxm82YzWYKCwux2WwhS/YYqowOnfs7KXhhKQuK8rjv9/fz8n/+it1u1yQY\nkaeARFrjLxuG2m+mS6bRtWuv3/LUgaOiooJp06YBvqO+taWtYd/u7h7pmrRI6TXaMLJH+72hrlOY\nzWZnqqnFixf7Pc9QoiZN3VtWju3Rx5xJU3UO4zc2BQSXstxDWZqU091t57Giaswt2zl0qJuiR29i\n5PBhIanPVxmetm3YsMH5sKrExcVRU1PjVc/pWk5fVStanW/XgS6+Nn9D4qixvFf/PqvWrubWrF+Q\nempKSO8Fra+Zt6wgrvbHO79tUWIVL5nLSZPHHVG/lBKLxUJeXh7V1dXYbDaMRiONjY1eYye/fdti\nzsj9Ke31G2mu20D2aUsRuATvGT4RHh/KZtJZu/ESug92H5G1ZF/HLvbblIFCVbHMfOwWDMljnO3P\nKJznsb/sdjt5eXksW7YMwGd73fusN9sCRatn/1gimNgUx5yaQgiYOsXI8PghfLJ+09FuTg9SU1Ox\n2+3OPHgTJkwgNTU14JlxX1QrWnryRQ6OJPVU5TU8PjYeBAyNDm28YTg8e+xrGSrONPduqgJlYa+n\n/fEHT7zisTwhBPHx8ZSXl2OxWBgxYoTfwPSDD24mIayOdvtYAOQlTyFGnQatH2Brs9C8NJszTwLL\n3pEknDuZlg++PKKM/ba91PzmBbURh4V1YTh7t15BR8d0r/WHhYVRXFyMwWCgsLDQr/UJKG9DT778\nNB27OogcNJgpE6dww2XXe91fSsmSJUuoqKg4pnI+DmT6XRgHOrP1RlhYGNdcPo3X3/gkqPrVBbZp\n06ZRWVnpN/VOb3C94dUZblZWVshdnkPBD60b+cM/nuFQ9yHOnHAmExLHe9xP1ZOnp6djtVppbm4m\nLi6OJUuWsHDhQq/lewqS7u2hXlP4Iju/bTlsIuc4LCJqsFMn7I5rZueWD76k8sZHnUJtwpXTaVv7\nNRMuO5eNb69l385dXJP8G69tVWd2ixYtIi4uzq81Sse+RCqLd4DYCQjefGYHs6blgJQM6XySicPD\n2WiZTtzPHmFfg+cJxecvvaucp4exeeLsS0g6+WJ4dYnPNqtrBYHEbg4PCydzxqweb0NnTTjL475q\ngKPCwsJ+sRY6Ueh3YXw0Z7aqIM7OziYnJ4fMzEwWLlyI2WzW1B5YCEFGRka/vpppMascl3g4qaZx\n9DgezHmADd9u4M33/8WHX3zk9bj6+nqampqcFiOqC7YWqEJ19LSJtK/7jvSl8/i28j2nZYQnVcQR\ncSGkJGxQOPZDdqyN7dQ88heQcMqV57GrZbvPeMMqQgjKy8sDanNG8p/5dsdFbN59OgjBjEWXw74h\ntFW9zBd75jNoxMlYt7aTde5pbNmwEXBJdsrhhKbhkYPo3q9YTVga26l9ZDnIfPh6F9nnXu23vaWl\npZSWlgbU5kDfhlwDNxmNRsrKyigvL+//wPjHIX0SxurKbXZ2NvX19QEt0vV1ZhssrjdRamoqZWVl\nmM1mysvLfXpz9Rdta7/p0/Gus0ohBNW5TyC77XQfOATArPIHWP3g85zxs5m0b/ie5jWfec2u3Lqt\nlT379jIybgSDBw0CAYcOHfJZv8lkwmw209DQQGpqaq8CzSN6BkQ3nTfLu+7c1TLDPSGpu9XGSiMv\n3qK4UCecM4nWj77m87++ixBhSGmn6ubfHvb10HDc7Iw6g61dZ4KQZCydx+pHlgMwJOISzrxgB19t\nHA7Qo/43b3uKWcvvZ+cPbXxc9A8ARp5mZMfXSj98/rJqviiUz7m/BLQzmYPA34bKy8ux2WzOZ2je\nvHk0NTWRn5+vaXtONPrs9JGXl4fJZOrXpIWbt1jYvUfJIrx1mw2rrTOg48rLy2loaMBoNJKdne2M\nlOXrdbo/8Lc6rqKmC8rKyvJrrnZo3wGnIAZ489YnfXvGFYbD0ggoDGfscyb++89ili5/jHc/WcWF\nUy7E2BXvtS5VCJeWliKlJC8vr3cLkZc9DXktsLAZTjpDU6uNHV8p7Wj75BuQ0jnLRgjSH73FaXlh\nmexdTdFbvth5DQnnno4hcjOf/6mM8IgwkJLB4Z0knH0qsYkngRCkFeYeYfnx6R8Ov6FFjVDVd1KZ\nKQ8eBED25CVQq711hPo29JMLr+aLH77w+jak3nvqW6aUkjlz/NuS6/gm6Jmxq3PD8uXKyJ+bm+tc\nOAglDxS+ijql+L9lb3LR+ZO4dU6G3+MMBgNxcXHU1dU5vZLmzp3bb/FxvaG6EPtCndmrEczKy8t9\nDiJn3HAxO79pZst6JXzj2OmnKbpTl8A16mwMwLJvDDVNtwOC7D/l8qtho51ZIuzddv5775881iOE\nkoLJZDI5M0XX1dVhNpt9vim5vpbjSGXkTIqpIYOGRHGws4tRZ41na/0PnP7zmWxtUFQD8cljmHzt\nDNrXf09t1WDN6jzj+plsqf+BDNOzgIBhShaNVY23U1myA1A8z/73+F976Lzb1n7DZfHz+ezA5Wy0\nnEerQ32SPanArQYJ/j3Me0Wgb0NCCJYsWYLRaKSwsJCmpiYyMzNPGNPVUNInNUVeXh5paWlkZWVR\nUlJCVVUVxcXFfo9zn9lGhIdjiPMtjFx58Y+9j7eqCo25c+cipZJavqGhgQULFhz1BTbVbdcbqiD2\n5wbsypevrFI84YQg68UH6dq1l1OuVlyOPXnGfb7tcsI5SLcMh/cfgysPC0V/g4UQwrlIZLPZ/Api\ncBkIrnpGCWeppjIa5XnRKFgOdnYBkq31PwAw/ap0tlgdbrjuag4Ct0rx5bhyqOsgzXUNnD1Z8PmO\nK2m1KvbGV0woQgj4bOsVbLRe0KP/1bejBANEjR7N4F2dxJ+SyNZvLQB8e+Ba9g+/kM31LVx5SpEj\nS7V27O7cwytv/41de3cRExXDhVMu5EdnXeBxXzWwEcAtt9wyIJ6h44GghLG6mrpmzRrWrVuHwWCg\ntLSUzMzMgPzgg53ZutNbywx1Vdxms1FaWkp+fn7QI7oWC2ZqOU4XYg/CwVUQNzU1MW7cOJqbmwPy\nqmtxzKxUwae6HHv0Rhs0noTTEmhZ3wqfPq+kF3IEGfc1WKhmfPPmzaOoqIiCggKysrL8qq2cgijE\nSTEzHrsFgE9KXmfvNitbrDs0s5X2dP1HG0ay/tk3nN8nD69houE92vdM4qsdGZzx4O9IGTqKlGEJ\nPfLTuQ54I/av4cvum9n6nYUJl0+HJhgf8S+6re8QO3IS9Vuuwro/AePIlzW5B0cbRjJ53CSW3u4+\nA/eN+oYZiLWGjn+CEsZms5nZs2eTkpJCdXU11dXVNDU1BTxCBjOz9USwlhm1tbVA38zONm3axL/e\nraepZQefrN9E0aM39spEzx1fsRlqa2sxmUysXLmS6upqCgsLA1KtjJ56Kls2+I4N4bQ8yJ3tyEjh\nELouQtHXYAGK+ic2NpZp06aRkpJCWVmZ3341JI8JKtC860JsIBYw//p2NTdcdj0z8nMUJ4pXtdO1\nysJwbFf8h1VFH4KAhOmT2fzx4YXY+i1Xs3PfOEYP/ZafvPoeTTu74JlzAih5I7BE+fdv6m/Kuohx\nxGdUXncJqTdciPniZtj0DhDGIXs4Ww9OJaHgPdY9/xbN739O1osPEmbbyKFXf47c9hXdchDWfaP5\noPVGsouyee/PDVg2tgXlsi2EoKKiotfH6XgnKGGsmvg0NDQ4wxqmpKSEzO3XG8FYZgghyM7Odmbk\n7c+6g0ENg6naQ1dXVwO+3XEdB3LB3T/1nknYQeOq9QyOlCQc+hft+0YBEinCEC5CMXp4rNfBQnWK\nUNsVKNIuEV4CzYPvwbqioiLge+2jzz/mrAlnkTJxirbBiAAWNvPR4hXKIAKIcGWme9LpRnZ+10qj\n9VziTKP5oSmepp3/1WxGPi7uMwzGO+ELh7OICGN72I9IGLyG+vmzabYqDiHqG9H/dixg53dNgCDp\nglOgbSNtTRE97LB1jj5BCeMlS5awZMkSZxCVu+++W9cbudFX5xZX1H51fZgDyZDcY5HMC3u3dNDR\nZKXyD3bADMCbPzzErBAFGe+BGmg+QNRZsbp4qepsfaqaAvQeVMtWvcrKy8v9OgTtWXEPXbYpzsD0\nbQ6htuPbFuIGtTIytpEtm09lQrzntEvBMixyO6y47nDs4StKMBivhWcTOH3GcPa3nkr7+u/59bvP\nkCke6HmwmtPQj1mgTv8TlGmbqi8LCwtj0aJFSCmdCn0dBVWFMm2KCX+By3tDQ0MDaWlpAagpAo8j\nnPHYLWT89lbGnD0JRBgzCm4LWZDxvlJeXk5TUxM5OTmUlJT4dcTwZS/rzrRp02hqaqKsrCygV/Ah\nTcQh8X8AACAASURBVK/xo5k2p6lceJRikSG77RyyDyYx9ktmJj/PxBH/C6j+QNlzYLhyfcIGKYuf\npnSif3gJIQSRp1zgTArQ3NrSZ/NAnf7jqD9xJg2iwt11mzKD8WZzHGwdcHjg8TT78mXvrKoxRo/S\nzmxOCEFVVRW1tbUBvIV4j1rmSl8ze2iNr0D5VVVVLFq0yOmCu2zZMr8LsL7sZV3Lrq2txWKxUFZW\nhsFg8JmaypVd61YzKCYKgB8/eAPn3JXFOXdlcTDaSK35NlY33k7XId9pkqSUbNiwAZMjPKc/aptu\n55/fPQS3fAjdB+Av54c8bZJO6DnqgYK0jDvszTIjVLGNtbIKCQWzX3n4aDfBJ95UKL4C5asLhRUV\nFdTX1yOl9BsbQUrJ2ufe4PzS87zqz1XTPNUsMy8vL+CYC7b9J9PiiJ/8v4LnmDX5CbhtPeOeXeSM\nvGbnAXg8wWc5ubm5vbDscQy0I8b0Ss0TDJGRkZoGbwoFJg0SSUDo42z746gLY6148Y939PiulemZ\n7zq1sQo5VtCqT0cbRvZwOFHxFyg/PT0di8VCfX09M2fOJCcnx6+6JrEjhoSd0X7bpNqhg6KPr6ur\nw2q1+iy/PfxSGm3nMHrIt2zpnMyM3/wUxt0JQ04GfC98qqjrLg0NDaxcuRKz2ex3cXL25Hx4eYkS\njvPkKX7PzVOdc+fOpbq62u9MvKurC3u3XRnIDu6Dx4cqs++rPTsBHQ20mGyBtpEPg+G4EcbuuJqe\n/frWy49KG/rq3DLQUGcNqkdejzgXk/MRUQbFKmLSNfDps3B5MZx+Hfsse9l/MAbCwrymYuoRKH+Z\n5/rVhyU+Ph6bzeZMsuqLSxLPp6U5MGsBtayysjIKCgrIy8vzmR1j88g7gc+4IOk1RHQcvPN8r7wI\nVS/WgoIC50x82rRpbNq0yfcsOa9F+esQ+r1BSkl2djZ1dXWBpwL7qAhODdz8UCc4/ApjLZ0b+pNQ\nm5719tXopT95nkUf7VejYHDNAN2+TrEUkFf8HmG86LAnHTjdnKMnXUP0Fb+HsHCvmZJ7ZJX2gRCC\n5OTkgGdCanJSf0gpycjIIDU1laysLNLT05k9e7bvVEVqjI8rfo8w/binF+E5gb01mc1mbDYboJjs\nqfprn1HQXjjPt9BXgy95OMeSkhJqa2uprKwM3BS1oRzWuJsf6miN3wU8s9msSdCWYASOlJLKykoM\nBgNLliwJ4vR6X0+g+eJCkYJIi9Q8QoiQD3wesy4/u1vx2jvPES9j3EWQUwvn3gmfPgfrnw+4TE3x\nFBTJCytXrsRisZCRkUF2djZpaWk+7wfnuT+3q+e5B+hFqNqQL1++HIvFQnV1dWD2+oH06WVPe/y5\nurqa9PR0UlNTqa+vZ8mSJX6fTXnLOnhgF9y9Ba4oHbCWNsc6A7ZXVQGem5uLzWYLeWr0iooK5wzl\naOE+8O3v2s+Gb+vZbtnOyppK7vrdr6n/riEkA19vcJrDPfYLxkw7FUNkO5de2wk7voG1zyizsjOv\n75WAci1TS5rf/wykpOrm3yLtPlOMMXz4cOfs1Gq1OhN5ekUC0s5Fo5cps9HHHfbMvXiNV3XVlZWV\nxMXFMXfuXP825IH0aV2hx5/z8/OxWCwkJyeTkZFBQUGB35jHb97hWbAPdKSU1NTUkJKSgskR4nUg\nMyB1xqouLSMjwykggxHGrjpbX3UVFBQ4XaQDWUDpL45W+iN/uC5MXXDPz2DnVKi8GV4oVl5lT/8p\nHNitCGc3PWOTZSuP175Km207kRGDuXziOdx63lUBLXYFw+Ah0Rzwcw8ES/jgCGaNfwjikmBfNERE\nw5k/P/wa7xqr2Q82m815r/tVC6oDnjehrwZfur/n4p66CFpTU0NBQQGFhYUsXrzYb2D4S3567Dpz\nzZ49m1mzZmG1WikoKDiqGbL9MeCEsatX380334zJZKKwsDAoAelqeuapHrPZTHZ2Nk1NTSxfvpxr\nr702IM+2/iTQgN9HBQ+B4Tl5Cuz8ThHOa5YeoWc82H2IyyZO45zESVR9+QGvf7GG6UmTSEmYEJIm\nDoqJ4uSUCSFx+U04dzLJSyJp2tns+GUv8AfH50h8CVmj0Ri4RYA/m+Jz7vD8u0sbmpqaSEtLC0j9\nF9Pdd7Ox/kad0Ekpyc/PZ968eX0OgRBqBpwwFkKwcOFC5s6dS1xcHAUFSiSpYISxanrmbfGsoqIC\nq9XK+vXrnTNvrcxbpJSYTCaam5spLi4OOoC9p/RHF5x5viZt9JaEMiysF9qry56G069T/ldX9324\nOZ8yciynjFQSdU5NOIV/ffMRu7p6zly1WjQeM/ykw6mXQoCICKdp5/7+N6u6e4v3ba7Bl3ygvgEG\nVO8xaD0hhCA1NZXVq1dTUVFBXV2dpvkuQ8GAE8agdKSqq1M9obSesQohyM/Pd6aKqa2tDSj8ZyCo\n3mLNzcqMKVh9dyABvwOOgeFhFhseP8ljEsqUib2wXQ0yMPyOXRaeWvVXIrrtVL/5Ek0uA0EP3V5h\nOLiYzO09+1HWPPpSj2SiGY/9gvjxPb0G1XT2PSw+AljE6w2v7K7VtDxNcA2+5AUhhFMtFxDHqPWE\nEIKpU6c615wWLVpEVlZWL5xr+pcBKYzhcOxhteNCYZDtGoBHqwVCtaxAE0H6IpCA32oMjOHxQ/j2\nk29Z8yulXo/57dxmsZPGTzjCPO+Z+3qXacOYFI35lTt7ZdK198B+8le/xODIKJ6YeRPffP+594HA\nLfh8545YoodPYuLV5zuTicaNG3VkHR6sM9687SnGjBilyb10smEExh1dfS4nGHy+0bi+lTyo0TMT\nhPXEQPCKk1Iyb948FixYQHFxMXV1df7NBo8iA1YYqxgMBoxGo2azVl+oI2iwaZjUGbF7DrhgFwRP\nM032G/Db1Z568L69hEWEYz/kJT6t2yxWKzfxez7ezO+Q/PDpCk6ZdrtPNUfngS7u//ef2bLbQv4l\nN3NS7Aiahww7cnHSfSY/7wPgYcJ2fknH90O9po9SccZg5nBmk8nXzqBs2BCGTxxLywdfehywVBdm\n1+PG3j6DCSmn894fs1gVkcqtB/7NFNnEa4O1S9XUG3a3bOfkdV2csi+OmJxUVn0axBtNiBkoXnEV\nFRVkZmZSU1PjTJY7UBnQwlgIQUFBgVNvHMp61MSKfSU9PZ2ysjI2bNjA3XffDSiqlpDrq1q2Em3v\nZsS0iWxf5yFkYwjTGxVMHYl4P4z1Fjv7Nn7hUyh8v7ON73coAezv+dfzSGlnxP5DpHtanDx/IQwa\nAskXg7kOhGDY2ReTkaU4jqjC0mOoSE/4CBs5YtRIbrz/Jor3lBKJQAAXCAHFh12O4+UeEALbxaXk\nfbSKQ94GPQ4vIFVVVTmtJEpKSnw2LxDBYzQa+fZvdYzpHEL3wW4MwwwerWz6mm38eOHpp592LlLm\n5+cPuAV6Vwa0MD7WUHXd6enpGI1GpzD2N9Puy+hvNBrZtHETouE7voweynhvHmdv3eViZiWhMUBX\n2AAYsuFPtJqy+N/WMZzrx/QuZcx43r7lCQAOHjpIxy6L98XJdS/AoX3w/hMQHQ/n3sXgi+Yz2PHa\nrHrzXSse0WSG/8i8hxDLlrFi0I857apHGBsxgtV5VViHvM5np+/h0KALOVO2csGHd3Gq8Wr+0eDZ\nHVlKSXl5ObfccgszZsxwOln4Y7tlu1N3f2vWLzwOam1rv+GLl/9L+LTR/Hf/emTtyiOsbALNNh4w\nSyOOtJg5BhBCkJeXR15e3tFuSkDowlhjVF23q4BNS0vzeUxfBIkQgvrK9+mOiGCzHMy+fYoes0dU\ntPb1yt8f3Q9hYfDeb2kafSHwj6DrdWVh2A0c2naIM0/xbHoXqP7wSH21qxPOVozGaszmvuvivTHS\nMBIJXHnwEyLfvZltnWcQFp5O3J5BzFg7nOj/z96Zx0VVtm/8e9gFZRN3ZXDfBXEpswRMrddSxPZN\nxLKs3lfQ3sp+lQpWZr0JaKltilu7AWZWpjiguaUIaGqpwCjuIsOqLDPn98dwxhmY5QwMLuX1+fBR\nmHPOc86Zc+7nee7nuq8rQqTvkW84XtWMln+spY+reZphamoqAwYMkK//UNu+JT65oX5HQeaf3JbV\nkpZTb+fH3zYadWRSabk9WCmKlm4w5t36jJlGQBRFfYC0Nlv4J+GGrcC7mVG3JLmp81SbN+zGsaiE\ncPVFirOPI4p1hOVdmgMi/DYfts+H1v2o7lk/bSKKIkVFRSQnJxMeHo63t7esVfcZj0bj7urOgWMH\nmBH/Emt+XovWgLnQFKXjTYGY+Jl87RzCj91fobzjY7QTtxLQKhNdqR24BNxBmdCMlR7jmef2JD8K\nd5o9lkKhIDs7m6ioKFJTU2UFxZj4mXyXts4sn1wKslpFc87VFCGIAs5O9Vk20uLlwjueZt1jcax7\nLI7UqHdN39fflyKezUHc9g5irAN/rpvBi+//h2Mndc9R/vQq3VrDZ7fBtrdsv6l1IKVv7LHA/XeD\nYGlUJgiC2NRq/9JIsimP0RRt2OOY9jiOIAhUFBbXW3Qa+fbTxiLxe5cZ54zHfogw5AWjtkVRZO7c\nucTFxREYGEh0dDRhYWEWqUCCIHDq/Cm27E1j9x976Onfgz9VfxlNs5v6Xtnr+z1beE6fMhmk9mWy\n6zzySobwa9nd+BW7snfoJd4pXQxOblB9hcrWd9Dshe0m2xZFnWC8ZNg7cOBA4uPjzaas6rb/xL8e\nr8cnz1m1iWM/76GwRSVHOpVQ5azFSevA0EF38PDdD+JY68FnahGy3vNQB506daSgwLQDuC2Q2A+m\nvhMpEEdEROjXVlQqldXny9p3e6O8iyaOZdO05LqnKewylbIijHMt2rieqFeebAqDp+k4ySv/Iv/M\nQmo+N/3QZWdns3DhQpuKVBasfl9PvWvj25o/T/x13cu2JRW2gIAAq9ZMEr7/8k3alh6itaCgfbMD\noAGNZy9anXIDAd5pvhOhwgWcm0HbINwKdpg9lsRxHThwoL4CTPLuMwdHBwc9n7ziSgWxn80zoq9F\njL2vHkPEVJCV9TyAUYFIQcGpa8J+SExMRKVSER4eTkJCAnFxceTl5TWYwfR3wnUPxtdCvONGFwgx\nBUOaXEpKSuNSHbUvndB1LAO9C/B1O8ieymCz7c6cOZOXXnqJ8PBw4uPjrZLkE2fG35Bl2/n5+aSn\np7Nq1SoUCgV5eXkWt79QcZn7NbmM1fxOJY4cLB/E0ZOddR+KIEbtuCrJKQmtm4EoiqSmphIUFERe\nXh5ZWVlW7+O85W/rO7VhfW+npWdLAr8KBgTEPVqE3x3wqF1Asxhk5cKlOao/NjA/69q5Q8+ePZui\noiK9AJg92A03q8xvXdzKGd/AUCqVqFQqUlJSGneg2qosh+W3Ma50Pm39/TGl2SF57KWlpbFlyxYm\nTZpEVFSULD84qWz7/uH3yfKdkyCKon76bm9lPomb7unpaVUOE2D2y6vo9PopMsJS+b9mU/i96F6k\nVySi11yEt110/Od5TpD2BqKVAJCXl0fnzp2ZMmUKEyZM0Fd7mkPiE1HMf+FtHhvzCO7N3AnqEYgA\nHOvzPG+6TUb1yDZo1ddon6K8M3z/+Ft8//hbFlXpTKJlD6onrGFAX8ul0/aCpEWdnJzM7NmzAZ2Q\nf2NrCK6nzK89cd1HxjcrmrI3llabFy3SWV40eFRsogS6wqsbGQuWIoqmS4MlZS9DxMbGkpycbLYZ\nOWXblhAbG9sk8qUBAQHk5ORQXFxMUFCQ1ZdeGt1X11QjVjRnv9CKma+O5ezmvVAOfxbeSRuPo3h7\nliAcWENV4DPAxyaP1SBa1ccDpZ3h2UyOVXvQBZH2hz7jNadmND/mBt2GGu1yYPWvODo7oqk2z3m2\nhG5+Heg24gFebNDetsPQrcXLy0u+PsY/ALeCcQNhay+q1Wr1NlB7MnNZvfR5kwscarWasLAw8vPz\nGTFiBBkZGVapcVOmf2Jel6JOCbRjTQ09FT3Yfa7A5LGkc0hNTSUyMpLU1FSruUQ5Zdvm2poxY4aR\nTKq9coeGTtr79+9n5syZABZztou+XoyzkzPN3DwpoZBy7zJa+Lemzb/HIb4n0slvD9U48Zf3MLpP\n3QhaLeaCcYMw5n/Qtzb94NEGhVZLWegCcq604NLeVYzb+zGCQcm55BnYfkivJlGlg6s2TSEhIaSk\npJCdnU1+fn6jv6eAgACKi4tJTU294QV8rhVummB8I9S6NwZybaCysrLw9vYmLS2NxMREsrOzrT74\nwQMC2JOZS/DAfpw8ccL4wzkxgG2KcWq1mqSkJKZMmYKXlxeZmZkWt5dTtl0X0rTQkOJk75yd4Shf\nzjT0yXsf51jBcX7L2VG7v64TOpd1nLOV47nddT2iWInXhS3wjhuuz+236/mS9iZsegkQEAEnQUDz\n2Baq1Bq2Ogcxrma3rnjnp/8giiLtRXAat46TxxqXbSyvumLy74Yds1RFKqkpNgaCIBAWFmY35sLf\nBTdNML5Rat2bElLwkAKINL22ds7ZeXsQRV9Onjhh0z0ydVwpr2eTqlcDUbfM3dHR0UhJrzGQFtAM\nZVgl009z+GH7j6jLdHllP49O5OW1QJ1/lpzEFGAQ9P6B38pDGN5cSVm3cDzr5G8bjR73waHvAJHz\nA2fwU95ZvL99k1yPPkxqVQ4na1NOYz7gz7OdSTqi5HJOOo4aAV9/R8bX1ODk4mxTk5JWiDkkJiYS\nEhJiVLxyI79DNzNuLeDdYJB87EC+bOhdgXeaNKC80aFQKPD09MTLywuFQsGbb75pV+2ArVu3MnLk\nSNLT04mMjKyXC6+L2HNvkVi+mMWXl9BBvAhAzspNeLudpmPbDEREhjbfhgB4XLnA7E/m2u1cAQgI\n0/+3zcFPmNwRxvlW8GJxEt1Ofs9vLkE6p6f0ODocfI4w9SGG5rSgzTlnzvheIem/tvsHGmqFmEJg\nYCD5+fn4+Pjg6+tLampqQ67sFmTguhd9yMV1J3abc7WwAafPFvFLWg5btx82mTM2hERti42NJSEh\nwWwgEQSBb1N3s/7nfaxe+oLNI+OmLrixtI20ih0REUFxcbF+9GVu5GXqOBqNFicnR7tcx9Fv/8Of\nzQfwW84OSmhGxXkFdxQ50qbmJMPbf4eX6zmqcOa0ozddxLPsDYji3v+mculCoU1tubq6UlnZOPlN\nRbuW5E0romLo23xzwJW9Yi7Phj1F4JCh1nc2AXNFGpIXoEKhYOXKlfj4+FgsYTaUA7jRCjGuJW7K\noo+bCqZcLWyAJRuoupCU5ORYxfy8Ywui2PQSo/aGFHQnTJjAzJkzKS4utnlhyJ4Tgi7H19BRcKJF\ndVu+droLscaBDBd3urTuxrnCKPy7d+NQwRFUHYpZeOVjurlU8MK8F1GXqtGKWgZ0G8Az46foKuHi\navnIIXOgx/1w7GfoNhaO/4Rw1//ZpfM47tCeRTkn0AiOODg4sHzbl7juWtcwxxYzbXh7e+v1fwVB\nuFXG3IS4qdMUoiiSl5dnZHEfFBTUeF6uOTSgRl+qpIpeOIO2vfMZM74FSR/a1zmhqsTbah5P4vMa\n3h/D+9bQn8YuugmCQFRUFEVFRQ1aoW9swDHEO9yL65WL3KU5yIeVS1nu8yorZw9jYHt3Sjodo0Kz\nHG3XIia1LgVBoNqvD6UVpYiI9O/Wn+cipupLknUQdY4bSSFQctLYLdsO8NdeYEYfXzq3C0Aragnu\nFcyw/sPYdWA3B44f1G0k8aKlf624dJvClClTUCqVzJgxQzbN0h7Plj2er5sJN/3IWLI3CgwMJDw8\nHEEQrFLBGoQ6esBVPj2Z/0eJVf84RwdHk9ZG9sTCdx4i51gOq5da3k7i80or46bYBYIg8NOOn/X6\nCN7Nvfnily9Rl6qpqXZgaL9gJo19vE7QsYA4mdvJxbmcJpFwdHV15c1ZX2KseCzC3IF1tsww+P9s\no0+e57mrbJ2xH0HpKagsoWjv53jt+5hlufmkNbdfTjzXJQC/6kI8PfwB8HRvYVr1rZEzutzcXO6+\n+24mTZpEdHS0rH1sZixJJrYXD+sstvo+AvfEN8hl5GbFjR+MpVytGWRlZeHl5cX+/fahGZn1lJMc\nd327QdobOF48RPiIF6z6x7m6uBLUQ/cCWpJHbAykMlpTMOQuS3xea6wCw8INibb23fo9rP85k3HP\nTTAKxKqic8xXfsWp4gu4VhZzz+U/mFqSfjWvbmcIbesHM1dX10Yft7Ky0r5sHel5qb7MpX1f400F\nT5Vsp8bBhXWNbkWHlW7/ouSoBoQDtPBogTIzHY1WU78cvYE+hdL1pKen2+mMLcCCie0/BTd+MAZd\nzz7b/PSupKTEbnQbwcBTbk9mru6Pho67f20AQcCx3UDZQbapdRsSZ8YD8O6L75j8PCIiguzsbP3v\n1qaav+7ZIrtwo1pTw5juwQzu2JOUlU/yXfMhDB33LoGtO9pF+7YuzKm23VB0qzOZkLMaHF1AFOmq\nuQAIeIx+j2M7XID1ZneV+NAREREolUqLqZu4597i0v8U7O/0KD9cKGX8iHGIWpHHxz/O8xOfM9jy\nUu3P0tqfW7gRcXME4/Q4sx8FBQWxatUqkpKS5BsNWpjqmizOMHTcdXaHIS/CoGetB9naUX1XUSRe\nEPjttg/5Klun23AtxE1EUSQ2NpaMjAz27dvHoEGDCAwMtNru/BeMKVK5J06z43gyzRXlvLMqjl6K\nXpwpPG2UounYZzgDK0/wo3sgJRujoetA3Shs7Ecwx7pJaWPx1PNXg8xdt/dEdKhi22/HaeF/jAG9\nejEtQpen12q0bH55KX0fGcmZ/Uc5kZHDqM9m4OVhv9lK6q40xp/bgnDhkI594+QGwc9wsceD5O6L\nt7p/YmIi+fn5VisSj29NwE8QqXBrBVxCq9Xi6uxC0cVLNo/yb6jO7B+KGz8YS7naV00Hz8jISFJS\nUpgyZQoqlUpewYCtZH0zUyhJHMesbRCgHvYmFzuMxLeFD1VnzoBwiJqamno5tcP5R4xKigd0G2Ck\nUdtQREZGEh4erufvNmSRbO6CZJya+aCpakd1i0tkV2cxeugo7gwcrk/RdFf0Yk37h+jg6MZtPceB\n8k29W7RC8W6TdzyrlkzT///02SJ+2pKFIAgM7TmCPUfS9d+NJNDefkhPztR6Bb7+8+eNPjdDbDqq\nImDCagJrZ04VVyqYv+Z/ZH39HlpH8/dBFEWUSqWesZCUlKT3bzOFtX/kUeL2JC4XruDq7MrPO38x\nEvW/hZsLN34wHjzN4sdS1VpGRoZViUR7Qq44Tou98Qi7FnLAIYDNXmPNTv8bUlJsDYIg1JNtbIgy\n2qqPrsrIKDPT+S5tHf279tfbBGkE+OygknLHZiy8fxoubs10wTgvDaor2L5pDWXHtuKXuZCsPi+R\nfOwc93YPod05F4Y8H253HqmOQqhD2uYzODVvTcVlHaulsOgigpvI9v87RO8TLRAQGP69mg9NHEdy\nPlmwYAG//vor+/fvx9vbm2+//ZZRo0ZZPAcPg5RVpaaGUy1ccarUcm+rLvxkYb/Y2FimT59Oamqq\ndcnNl5cb/V5ZVcnh/CN8+PIii/vdwo2JGzsYG+ZqzSA/P5+4uDi8vLyIj7c+BQQg8xO92IopnD5b\nRGnZZQDOnS/GydERby/jBTJL4jjGOhqSGllO7Q88LuMU7aWhIY1IRVFk9uzZDV6MqZuSERGJiZ9J\nlaaGwpbeaCrUzOngjpM6j4r8LbgLgm5k/Mc3lF78hC8ch1Pi9iSuqhK61Pjxr/vDyfp0o9n2pNxp\nly661E9eXp7V4CThtVfC9N9NfFkiIFD1kxMtHf1pNfYjMk5c4Le/dtGjZWec9l/i3nnPwFrTM6rc\n3FwyMzMZPXo0o0eP5tdff2XWrFns3bvXbPt+xa507XA1ZXWi5CKnyooASD1lWtBHKvJRqVSkpaWR\nnp6OWq22STzJcLHYVvxdNIFvZtwYFXjmqtsM6C7Ca6X2q+jZMA3uM7+QMemFpRgWZ9x1e0+mTgoz\nu73JNq5BZdu1bLeuk/OjYx6he6furM9M45u8TN0iGiKIIk9WZvNUt94mqUmSdZDkK/fAl7PNVucp\nlUpGjhwJWA7GFq87zhHuWWhE7VJmbee7tHXMeDRGn+e3VCUo4fjx44wZM4bnnnuOV1991ey5vLDg\n3zx57xMMG3A1ZSV1ZpWXHVj2+gcmq91iYmJYuXIlQUFBpKenIwgCaWlpJqsvzZ3vsYLjdO/UzWp1\nZ1hYGDExMRYV0+q2oe+Qqyvp59eCaQ9Np6LyCu+nrOFSSZFFiuc/DTd3BZ4pLqRhrvY1Oy4wtLE8\neli1pOkXnG4mFJwvYNigYRQUXJXdrO/kfBWbgEn8CtSfLvv7+5Ol1AnPZ6/bCl8afy5R8bKysvQC\nPyEhIfJGXKY6ddBTu451HMeHBW42sVqkgJSbm0uPHj0YOHAgU6dOtbpfdU2V0e+Ktv5E3T+Z/y38\nzew+MTExepH99PR0Jk2aZFGrY0bCS1RWV6EVBKrcXLl9cChRg8dYPC9pxiEFe1vkK/VrJMvuZ8PF\noez85CGCewYSftdUOrbpZJHieQvWYTUYG0+5GwZZU+5GcCFtRXTGn7jufPWm68UrrlTw/poPrBaa\n2BulFWUUFBTYbWbiU+vZ5vPE7fBy/W2SkpL0+sOG+8lC3U7doFhHkTab10LfZ79zb37YvoFZS/6P\ny1cu4+rsYvWcu3TpQkBAAK+++io+Pj4Wt+9wsRlnlmxnqncWVyocQRQYOBwG9e2HV9fDZtsICAhg\n7ty5FBUVkZ6ezpw5cyymKO7c7cXpJzvh6eTKnpydbN67hY4upvnmcLWji4qKApAlhRn3frKec//i\ntDvo6t8Bl97j4fh5agLCcM2cT1Db/tBzYJPx6P8psBqM7SFdafVFqlPdFjD1O1SnL9h+HANY6gDe\nnPL6devFRVFkwoQJpKenk5KSYlVJzBDmqvma+vx7B/Sy6/EMjTbrQhAEYmJiCAkJITExkVWrWWT/\n1wAAIABJREFUVtk2GDDo1CtCF7Ag8xwXt34CgIPbVAYcOkrHAbrrKSsvw83FFa/m8nQ9Ro0axWuv\nvcbDDz9scbteBZ7cMedx1L//QVmJlqwDBRw9+Re5Z4/g5uJmdj/p+fb19ZVldQVwT987Wf7tT4i6\nDBFpv/1icjtpRBwVFaVfN5CTi+7RrS0+3u7syczlw2W/gQhte1bp1khG3Ad/zOdYXg4fbpt5zfwP\n7TFAhOunbW4ON0aaok51m+r0Bbt0AKaCt0Kh0LMArnUvLlmVr1+vI/3HxsbaFIytVfPdLC7Yhh2K\nKUjOylKOWPY51enUnZ1bcH8bd0p63MGGfTup0jiQVSpwYOfP9FL05OFRD7EjZyebf99i9pCiKPLe\ne+9RVFTEt99+K8seauIXbwDwXM8Avlu/h+yDBQgI+hz1B9Hvy7seqxBY8v1Sqqmh0sWFUqEZMx95\niQ+mLzC5tVREsm7dOqZMmSLr2Rsa3JV9WTqWUlC/ALIPqni1rzd+AwMhcxkIAgpFf167+0GLFE97\n4u+qbX79g7GJ6jZ7wdwCR0z8tevF6yIlJQV/f39OyBCCL8o7w9bXdRzYiDWvIzgIRqyGrp268/7v\nP3Bq8wVcnVx4/eslTL1t7LW4DCMYMh+8vLxQKpUWq/yMOhQLkIJxRkYG+fn5FtkU2aePE7jxRRAE\nRK2WzotdUM15z+Lxp/Mfo9/Ndd7FxcWo1WpGjRrFsmXLLB7TEMcKjrNp9yZE0Zeeip507diFYwXH\nZe9vHSJ3D72bX/7ai2vhRdqe98HF0fQrLQgCkydPZvLkyRQVFek1Sqzhx01ZtGujE6Jq1bLW0uvo\nBtg3F5zdKej3AmWtw/BzcGiQ/+EtXMX1D8amqttMLPzYC3IKNZoSQUFBhIaGsmrVKqsVg6bMJg3P\n/4ftG+jXfwj/F/YYKX/s4LuDGQzt1JPA9l2b+CrqIykpCUAfuCzBsEOxhNDQUEaMGKH3XbMUjEvW\n3geIcMcsxO3zURXaT2uiocdRtPVn+IDhbFEe4s/8I+x4uw+DNEcbfU6G+OXI7xTXXMETHf/ncrV5\nnWTpWqTRvZwp+mMPDEO53TDPLcCjqVDrtVhap1hJbhn9LdSHzcFYFEW9P5oELy8vJkyYoH8hbYLJ\n6ramCcaNdTFuKKSFk5UrV6JUKklNTSUwMJDIyEiL+9U1m6x7/oIgENi2C/7erRnYvhs/HtlFSeXl\nJr8eQ0imolLVmEKhsKqaZ9ihfITpxVrJ/kkuL/q2B5fB6pHw23wcboDZZ8H5AvILzlNxWceq0Na4\ncKzfSxzXluHjF9voKXIb75YAjNgqsGVgBWoXJ84HlLDxmHWxHamzlCOHee5CsZ5zX15RP9A3RbHS\nPxUNGhlL0xtJtjIgIMDqCnNjIYoic+fOJSUlhfz8fEpKSgCYM2eOxZJRQzTUxdgeiI2NNQpYW7du\ntfpC9nv8bs7svzqSMnf+5VVXWLN/Mx08/bitU88mvQ5DiKJIQkKCkeB4QECA1es6fir3aodoJzgf\n+gb+9SH43wVb3wSuoz3QuRxKL7vw8ae7av8gUH5GwdmyA6jbVPLYK4/j7uqOiI6/bZIZs3eZPv99\nTPkhHzZ7AIdKB/q07c4DYRM5si6DM5lHGfPW09zZzE3vIHPnCMu0TSkfL3e0/26CJGoksGOP7lk0\nVwjVGJhVS7QBUuHMxIkTAdi/f79s/eUbAY0Kxlu3brWbtbocqNVqcnJ0VWwDBgygc+fONt3s69mL\nR0ZG4uXlRVJSEiqViri4OKsVg4b6CaJWa/L8y6uuMOunzyitrNCVIjvZL8BZg8R8iI6OJjY2lrg4\n84JOhlj78xf6DsVeqMhcjse/4nUC7g98Cdjv2DajVV96OziyemktC2XvMk64+JOz8QvGlu9ge/vH\nuG3SBxzOP2KeGWOwqK1Im81rnavZ1yacb779g+2ZqWipQTGimi3fvYMoAqKAq58nCxb9YLfLcHV1\nZc2yF+v9fc2yF2w6jhzWgkm1xAZAMtJduHChXf0UrwUaFIwDAgLIyMhg5cqVxMTYz7nAGqTAW9et\n9kaH5EASFBREdHQ0UVFRJCQkkJWVZfE6kp+8qp624dn/MX65cdWX5Ox7puQSc0Y9hZODIxVVlbi7\nNF7fVy6kUbAtnfLq+SuNqEkNnbIbvuTfewziqZzVOm5x1gqL+0kLjgMHDrSZXmgTDIpQOgkCHg9u\nQPj2PoRzB8j8a79+rUJixjg5OhH72Tzci47QmzNou/2LII8qKhzb49eqNy7Ozjh5lNHBux15+WrC\nBo3GyUmk4HwBv+XswKVFMf9+6mGrJgNyYXeN51qY48vXU0tsALKzs/Vp0xuNLWENDQrG0dHRerPM\n0NDQazYVCA8Px9/fH5VKddPdaEMOqVyH3bC3n9FPR0e8Oane54bOvi9v1HFpnxw4iqeCLYvYNAWk\nZyA9PZ2EhASLnbQ9qUmCINDBx5Mny3aBoz+kTAJNldV9pfUNOaMnW561Di09UMe2xNupTPeH22dQ\nXFWD2m8Qfqd3AgKnHPzoUFNTT++jQ6v2VFZV4oAT/SsP0+bAbxxyVPCl8xgqdh3FyTGf5I/Xcqnw\nPACrl9Rvf8krpiSPbiw0BV/esHKzuLiY4OBgkpOTm66jbQLYHIylnNPWrVsZNGgQUVFRDXfZsMFx\nWRAEfHx8mDx5MnFxcVZX1/8O8OncjmH/fcTs54HtuvDL0+823QkYfj8WIFldDRgwQJ9GulaoiWtG\ndbUWBr8I/0q4qoXxpukAariYGhQUJGtEL8Z34rtTQfyouRO/tvmUi06IWke6tu1CzMmZpJcPY2Xp\n44iiBhCIPg+iILCy7b8RMj/Ds7qc5lotFbiwwy0YMXAqd/QfhlbUGjF7DnTuw8OjHqJj6w6s/eVL\n/jrxF0N6D+bVO+9jW9Z2Nu9J41LheasdmZy8/fVEU7jfSOapkZGRKJVKcnJymnbW0wRoEJtCrVbr\np5mN9ptrgD+Xl5fXP04d6pqVpdeF9P3M6WBxMwcHByM3kWuF1MOvAeBU4ML4sfLKwiV1NNlBS1MF\n7YdQ81dzVrz7DYVFhfqPdNXc22p/jLEaAEOa32Xgd+BxXu30Kpu2/WrE7AFo7t6ct1a8Q3VNNQB3\nBd2lL1KSawcn5zsWBIEv3g5lm1M/AEpdHBl9131MGjQa0LFBOrXpJK9BGdBqtUZl+6aMGeSoJVq7\npoSEBERRpEuXLrKrGG8UNEjUIDY2lokTJxIeHi5fttIcZDouS9VrK1euJDQ09Ibu+ZsC0tS+MT8N\nCubS93ODYtvASxzyL+HON568+kcrJqgS+yMrKwulUmk1eK3p+wFil9EIggOFRYWN/h5EUeTkyZOs\n/fkL5i1/28jmqkZTYzTyPZh7kJj4mXyXto5+Xfs1+D6ZwuiAVsQ9O4fRQ+/Gq1pLoOfVwVBpRZnF\nfSWtZ0EQZLmx692qayHRG+8ffh8Hj+ncb2bFfcXWWk7zgkUb+DbVNk88iU0xcuRIVCrVTTUqhgYE\nY8PeJyUlpXFBcexHEKmEIS/A3o91OsMWIDERbFGauoVGwPD7aWKIosiKFSv0eWBvb28SEhKs7jdi\nSAhnW1ZyUlNodVuJEy2N4IuLixk5ciQzZsywuN/OA7s5edH+xgWVVVcY0mcwb0+bx2NjHuFM4Rk0\nmhqef2AafTr3AaCopMgoaNkTfj1GmpUGkKNHIjEXVq5caXXb5l+P1dmdoRt1Hz+Vi2Odqr1VS55n\n1ZJp+h9bZGslBAQE6E2K5TpZ3yi4vhV4dTQppC/LFARBIDEx0YjTag0N6SgaLR4S54jCz82uGhEV\nVyoadayGwF5iLLYgNDSU8ePHo1arycjIYObMmQQEBFjsfG3NOUoUQ4C4uDj27dtndQFaFEUOHDyD\nvelyw/oPM1q8yjudx4+//cTlygqcasuam7m5GwUtS+e4YMECXnvtNTp37sy+ffuscv+PtbmbDxsh\nDSC9i3IWY7tG7wGPNqiKzjEnbS1nSi8hiCJ+ogP32YnvL61nNcTN5kbA9dOOPJMJOz+Ai0fg9490\nC0VWdIZtxTWbysc5wjyn2umxSP6X0xFLTul+NDVUVVdxtvAcP+34mRff+w87DuxE/H0p4tkcxG3v\nIMY6IP6+xOg8jDuEa5+SqZsWaWpIEpIpKSls3boVf39/PD09rbIdpOm7USAZ+5HZNoKCgpg7dy7h\n4eF4eXkRFBRkteMc0L0/H82fRtfg+kqCjUHdjsTPuxXOTs6AgIuzK3279OXg8QPEff4WyUrzDBxR\nFHnttdf45JNPWLp0KXl5eezbt89q+4p2AfVSBdYgFfqEhYXpqyPlpAOeeiWFi5fKqNbUML7fHXz6\n0EuM7XsHF5ygT7/BjfZ6/Dvg+o2MzTgu37SQFrriO0HmZ3DgC+g5joLgWZRVXq5fgm3DrMDNDG9Y\nCtpBQUH6isTAwEBSUlLszjSxmy1Pp46oThaY/MxQO+HEiRP66k5LONHSk/OnjhBoqDEyeBpg2iBA\nuobg4GDZI6iDxw6y70gm4SPGM5fZZreT3EkiIiIICgrST+PNoW5HYq4oSfK269i6Ax+9bLp8fOrU\nqbz88ssMGTKEzp07c/fdd1u9LqkSEkRERNb8tJY1P63FydGRwb0Hm90vMDCQoqIiRFEkIyNDFrVV\nQKRobxKL/8hDo9WwBXCoHbmvXr6LxPNbGlx51xgYyrleb33z6xeMzTgu37SQdHT974R7E+HYT5D2\nBqVOnfkir8y4hLmVm25WYKhUZ2FWYOnhSElJoaSkRF+aLghCk0zTGpq60QvtGFloWd7e29sbf39/\nsrOzrXYAvX3akllzgogxEZw7c7besWyFqTSViEj12VJyVynN7ictMI8cORIvLy9ZM6z7h9/HD9s3\n8PzKeRSIlbg6uXBP98H1lPesedtJ4ve5ubnk5eUxatQo1Gq11TSFVAnZzLUZPf17MKDbAE5fPM1v\nOTvYddD0uykZAIeEhOjTSdY6TFdXV1Yv+zerzQjebTL4/+ql5tcnmkJ/+Hrog5uD1WB8s2jkXlfU\nFccfNMZAHP+VeptfNST979U/zn6euqM5OQ+fNCqJj4+/sVePbbTQio+P54EHHmDGjBkWGTvFZ04h\nOAucO3O2yTRu7wy8E8ed5ynxsiwqJQlAhYeHM2/ePKttSWJPvVt14rU7xlpU3pOoYJbOu0uXLly8\neJExY8bozVMtBWRTo3BlpnVhJukeye30m6qSzx6wN9+5MbA6Hs/Pz280jcfW3kzqABrzo1AoEEWR\nOXPm6IsSvLy89GwQu2LwNJ0mgiIEEPXi+PaiohWcNz+tl3jeixYtMrp+S9BotMS9n8yU6Z8w6YWl\nXLxUKusyRVEkOTmZkJAQAgMD9W3Za7QiiiL79+8nMTGRRYt0yn3WOnKxTRs6erWyS/vmsDNnJ8mu\nmVzqZln3Izo6mujoaBITExk/frzV40qUthfveQp/79b09euEv7qCz75czCuLX2XNz2vRarXAVSqY\nJQiCgK+vL5s2baJz584sWGBaZN4UjhUcJ3rhDL7d8h0A/bv1t7pPdHQ0gYGB15zPa4/4IMUISd/c\n5NrDNcb11zM2gYa83KZ0Z0VR1Jceq1QqEhISCAgIsG/5tqE4/pGmUQqzxPkUBIERI0aQmppKVlaW\nvPydKVGWutWQZrBy5UoyMjLw8vJi9uzZhIaG2mXmI03zg4ODAV1hT3h4uFWZUUkgaYUpM70GwrAz\n69CxA2HnFJzr58yB83+aPXe1Wk1iYqKec7tihWV9DICLuW3YePAiG5M/Zvjd7uwXCxFb+vHa/c+y\n++Au/bS5pZevXjrVHKRFvFGjRnHp0iU2b96Mr6+v7GtWtPXnlaf+y84Du9i6T8mBYwcsbi8IAsHB\nwdelsMIwPigz0+s5fduC6prq66pvbogbMhjbE1KJpJyXo0GouxA59D/YW4/ZGudzxYoVREREEBsb\nS3JystXjOTg4MG73EEQEXmgjInz0b90HhtWQs01X3EkjoaCgIL2bsdXp4zyn+o7NdWCrtKOEWaGP\n4uRg35V4w3M4vmkvJ387QGU7dzATjMFYIvX777+XVWY9OKir3iMv+2g2V9q04J2J0/ns022cLDqM\ns7eIpsbBSDrVEry9vXn2Wd0i+MMPP2zdlWSeEzybSYHgS/6ZfJydXHGxYs56o8BUBZ+tsLe+uaEA\n0pQ5z/Di+//5HHj2o5cXa6zuzD8gGC9cuJBBgwYhCELTBORrKI5fF9JoUirvjYiIsGn/7A7RLN/f\nirmvTMQ3qbexQ7cFqFQqVCoVwcHB5OXJKIZoQMm7XEgCSaYg3Z+wsDACAgLw9vYmNDRU34mYwyuL\nrzqHHztxlA3umWizwK/YfKCKjIxk69at5OTkMHHiRCZMmEBkZKRFjvRzT97Hl8k7yDpwkgIPVzTU\n8GLqIlybleNHFdXlLfBvo8DPtwXznoulsqqSRS+ZTrEJgsCsWbOYNctyKsMIMSfAow2lJ46yYftG\nSit06SpnJ2eG9BnCEppedMhQgzg6Olp2CtEejj321jc3FEAa/0Q4A0ODo4D1yBTX/lsHY2m09fnn\nnzNz5ky8vb0bX77dQEi0p5EjR+r/FhkZSUxMTKPSJt7e3voRma0VR33Ofs7clg4023sc/rVYJ8xe\nuwhpDjExMQQEBCCKIs8884y8hgyD/L2mqVkNhSSUJDxjOj+qVqv1VlDe3t4olUomT55sMRgbFmPc\nEX4PXc7052DBETb/YXpxS+IvZ2VlsX//fmJjY0lJSUGhUFgMxscKjpO2Nw3wxVUjUqLVUK3VUO7m\nRFf3ANTiX+z/ax+jbw8FdKwKu2LbW3DvYnoH9OLtaW/pxd2/WPMGiUXx+mtrCOQsPkvpndhY3UKi\n3PfAXiNaW/TNzcl+GjKdDFkvZeoyABG4KPd8/tbBGHQPU1RUFAEBAYwaNYro6Gi7c3DlQnropk+f\njre3t2xLIXOQrIlsobLFvZ+sc1OoXsy9gW44HV/PQweXU9FqIe5t+l/lPZtpz9vbm8mTJ5OSkqIf\neVp9iSKVcHQDYtobbDx60oYrbBwMFzhXrFghm23i0cwDEZHPUj/HxcmZ3l16E9DOsqiQIX9ZrkSq\noq0/dw4Yzpb0I7S+Us2U20ZT4uTA8pytaNClSmq0TWcLFnughEuHZ+Dq0oz+3foT1L8Xvj4erChq\nOnf2uggLC9OXp8t9L6+HY49c2U8pfTJ8/J0AGz56efFvctv4WwdjqefNzs7WV5RlZWVdt2AsLXRJ\no8vrAWnhbve+4/yUXYmLMJIHm6+nZMenuPe+x6JDt3Q/lUolUVFRBAYGynNTMAjyt7VqZt8Lqs17\nmoPhAmdYmDytg/XbfkDR1p+QgSP4Zst37P8ziyP5fzJ8wHCznn0Nwe6cA1c98qpdOFuoJvVsNs5a\nLVdKCqgu9SG4h/nii8YivHoXHXuMZpvPSLb8nsaksT3JONK4AYIhpIBuKihL6QnD0bPcQcX1cOyR\nK/sppU/ue2gst907bNyL7/9n8kcvL06S08b1K4e+RkhKSiIsLIwpU6YQGRlJeHj4dTsXKY0wZcoU\n2TQ0e2PcPcG0db+MIIjEvzSMz5+swkEQaOtWDp8NhZ3/q3XoNo2srCyioqIoLi4mOTlZ3vnXlrwL\ngoBfj5H2oyb5d9LlPVv1tdj8hAkTWLRokeyV//uH38eJsyfRIjLurvsRBIHnJ07jsTHmtaUbgo8/\n3cWO3ccRRZHyMwq2Z1/Co7kn74x+nqC291FZ2J6LF8tQF+u0ScxRHBuKIDEfv06B+uDi4uxCZdm1\ncYkRBIEJEyZw6dIlJk3SGSfYu6DD3rBGgzMUQKqurgFdmkL2Df1bj4wFQWDGjBlWVbmu1bkMHDiQ\nDz74gJdeeslqMUOTwtEFRBHNl+HEXXqc/KpF1Jx1qFOKWn8RUhAEwsLCbK/w+2yovuT9WJu7mRD9\nFzWaGlqIfTiVBwvfeuJquwaVeuWOHszyiaCwWVsWdnCl7bbXdaajG18EN29wFvV5T3MQBEHP/U1J\nSZGVl5TykF/88iWiKDYZ/1SqNquoquSVnz7R2WeFPsWCdzcgaBxxwIEFizZw1+09mTopjNKKMlq2\nbmmfsnQ/d471eZoPt/1FjeYQ/br2o3dAL3p1PNHoY0uIfe97juWdM/u5dB1S/l7Oc1VXF9kSAuys\nAW5t0dAwfTIwJBjgE2C53Lb+1sH4RoMg6Aw8U1NTSUxMZM6cOVYpUFKO165o1hIEFcLzOQzcdxzf\nkxcbZQJpFbOuUrIUBrxOnd+Zn/G2teyUiqpKXv1hEWeKzjDnzFqczlVTMehF3CX9EoOKR1qbL1CQ\nuOZqtVr2yOvXPVsY1n8YYYNCyTmaY/Tiubu72yUYurtfVYCrZ581AB4PvBvV1jLyT15g264jRNw/\nmN4Bvbh4zng9aNILSwEBUdQVhwy/vSfTIq/qUkiGtYUVJSy8fxptW1zlHpeUl9BizQeoS9UcOHaA\nhWs+wgMrRTaiyIQJE1i/fj3JyckWFyiDBii4UmndAktCamqqVaf3A8cPmixXNuUubQ97L+m7lrNo\naJg+qa17MC2QYga3gvE1gpSvTkxMJDs7G09PT1n75eafQ6MV8fZpZZeydEM3hQsXS7nr9l5UVtpX\nJ9ccTD3Q5nC08BRH1YUguPCyj46y92TbUTwlOMgWWZKqP6W0ypw5c2Sd54sPPk/Z5XJcnJzrvXgV\nFRV2L+01ZZ+l1Wr5sTDLqlvy0oQos8HWkmFtwfkCikrUjB46GnVZEb/s2sTRI5epKTtrti0Jcs1n\nhw/tQXWVdYptaGgoqampslyDFn+8haqK3+oJCpksZLIjDEe9a99dTeGFQqvrB4IgWHxQ3Nzczl2+\nfLmt9PutYHwNIXmvBQYGsmLFCr2uriUMHtiF3fuOc/8jscS/LVPRymCqj7M79H0E7okHwcFgJCXy\nbqLO1n10qH0dJMzB8IF2xpM23gpOqqtMWuyY9fczrHi0IrLUELZJ3fNsytV6S3QpBwcHxt0TzOff\npCGKWqZ8+z9cPBy5p/tgpgy+l7cXppJ76hznA07hfdoP18steWXb17wz+2HatfLh7YWp5J04T3WN\nIxX9q+oZ1pZWlPHNlm/119ilQxdyySXiwdvNuktL9MxVq1bJuj6NRsu2nUcsbiMIAhEREbI58kG9\n+poMttL9aqy7tDkYjnoXvZRgrw7ZiHR/KxhfI0j5Vlu/xLat5Y1CzOfHStHlf80XoqypLdRS/jif\nE7XHsJtkpkGptGtzL07kt0ZT3AZEEKikplk1/930MaK7huZubiZVy4xgVnrVphmhRVyr1Xo5dCmN\nVle5+NY9UShPZfHtgQy25x/gvG8x+ECNVkOFZznVTtW4Frmz8a89PNP6HqNR4upHZ1EuVDBf+RXf\n5ChJPbSDe7oPZt5zsXoqVt7pPNq3as/m37eYPFdRFImIiDCi7VljBAkCtJH5/MqF6Grd0cXi/qJI\nUlKSfh1JqVRaXUewJU/dGPxtgnFTBI8bGaqic8xXfsWp4gu4OrnYLT+mLq7A28vdOL9aOxr9TtWb\n9Rn5LGw1B79x8zgWMI6cs7kM7tiTlD928O8tE9G6euHk0lxf4KERBX3eu7paQ/eBrXGrcePAwQIu\n9ivgP2HjuaKp0h/DnGqZHtdAejX79HHz7dsRly9rrNKlfN1bICDQ3rMlA8VubDi8i/7tOvPwgFA+\n+DGZQxW5zHxoHOf/vMz6nzOZ2O9Ok6PEak0NY7oH17vPfQwWpX7YvgGPZh5mzzcyMpLAwECSkpI4\nceKE1XTFhcJSPFu4NeIO1YdWlFVZbBISnW7KlCkMGDAAlUola1HXXJ7a3vjbBOMbnRbTUEj5XTB2\nzK37cq2zU3vfpu6u7z3m0pzT+36hVJUN4m2c6/YMTt2epJt3c7r5daDiSgWnc/bylXMIBc7+jPa6\nQtDejxFa90cIfs5olPbCg/ei3H6Ygwd1NK0Wbh6M7awzPB3Yvhs/HtlFSeXluqd1TfHR9x/TQiNS\no6mRLTouvegSa0NOXvXb1N2EjfQ3q7FgmN9Xnb7A6gOb6ejlx/Q7InBxcqaDc2sOkUtZ1RWrbXXz\n60A3P53eiHSf886fxLW6Rp/DFwSBcXfez/vUr2aUqGjh4eEkJSVZbQ9gfsJ6WdvZgpjIpwDjWZyE\nuu7SppCVlUVgYCCZmZl6USpruFaymn97nvG1QkCt7bs0Om8od7bu1C9t2yH9/99N/EHvmNvNrwMT\n+92Fv3drBrbvZrfrmDoprL7EptCOWYci2Fp+BwiOLNip4Nv1v+v3qdTUoPZwY4tiDF2Cwll1sVZd\n7FyOfpRmmG6prnVAbtvCl9s69QR0q/5r9m+mg6ef/m/XC+vfWcWVqis8OPIBhvUfxq4Du+u5G5tC\nVFQU+fn5soPV1ElhJl2SJRi6JSd89DPlf8I7907BxcmZ8qor7Ks4jEOVE+uOZPB19la0opYv92+1\n2Kbhfe7Sws+kQ7U5SM+o3LLlp58ZwcAH7KtFonfXPnGCl+L/z0hmtK67dF0IgsDcuXPZv38/2dnZ\nZGdny6o7kEtrlCRgg4KCCA0NtXmA+LcZGcuBvXmHhrBHmgDqVyvpftc9gJWtKvjFYRvsvqzPq0ov\nl73w6e6NPD3k3nor06uWmMjJxjkiCgJeopYlwGXBhT/yAnB08DO7sHa5qpItx/cjIjBp0Cim/7CE\nguIL1Gg0uDg58cnEGZwpvcR85VcUFF9AUyXS7GJzmhd4W7TksWeaSqVSIQgCd64PId2pPzgN17kb\nT91ocd+AgADS0tJ44IEHiImJsdrWPZ++iiCK+NZAkGfrenSpVUueN+Yg1zIiLpYX8/pPK/jl1YUU\nnzfOoa5dBtPrtLN6qel8uiQ7qlAoSN+/m/lbvyRpuXldEglBQUGsX7+epKQki1S0FZ9vR9HNF6+W\nfk2SQmxW3YNdB3br8+x1n1FT1y1J7cbGxhISEiKrY7FFhCgiIgIvLy+ysrKYMWOGLBUfYs3UAAAg\nAElEQVRFCf+oYGxP3mFTQmqjfYf2rFoyjWMXTxnlZqV8Xze/Dsz66TNKK827R0vT5xkzZpCVlWV1\n+iwdW87KtAisaxfOz1VeTPFyokPeDwzQ5NGPMwhmPA3f2vglZWVVuAjuFKnLCW7THY1Ww6niQq5U\nV/PXhQJ8m7VgTPdggtt3Z9GmHzjgcAxntXHusW7O/PWvl/Ds7ffZrUPs3L4zMwqmUiM40y+gO13v\n3WNWcc7Qi9DHx0f2iOielr3YcfYPLjg7cOjCSdp6tzQamVZcqeCtpHfRlBbRSoD3v1nMeQ8XfNw9\nuVRSRvH5Qrtdb7WmhlHdgyl30bIJEywWg21jY2P1OiuWUO1WSd7Ri9z/UC33FoE1y16wm8HtqFGd\n+S4t06Y0gkQxTU1N5fvvv2fGjBn4+PhYpD3aIkIUExPD9OnTiY2N1RskyMU/KhjfLHjm0zdxVat5\nZNTDgOl834XyEj79faN+xPQlr5s9nlKpRKVSkZWVJUssx1zOti6xfmVbuOfMT4QITuwo78a7LR/j\nDscaCorh8faPsvl/tdtWaxg2pDsgUv67I040Q4vI96uz8OztyAmP87rpJ/BW2lqeCh7NU8GjAIi4\nbRgHtxxD66TVn4eq6BxzN6/mbGkhbk6u+Ll78d3BDHk3VyZyT+XyZuU3ZLn2Y0O+yM71bzPsMdMv\nl5Rekl5olUqlV4mzhJABd6L182DTX/vQCgKHa8o4eC5fv3jo6ODIwyMfMGJbPDhsFEsObEGwbDpi\nM/TPWH+YjH1mkRvXzmP428/y1r+i2J7/B+lb/rC4vSiKhIaGUlxczNy5cy0WlMBVQ9eAdgFXBbBk\nmJqmpKTg6elJVFQUgiCQlpZmsR25tEap2hN0BSwLFy6UtZ+EW8H4BoRvZTVBJvJ3hvk+n2YexlVb\nFmCLG4NRznbbWyDeA4mdwUmN8Mxeo/RFeegHtOh5N8W/xNHzxG6Wt1ORo8qlwOVOajQ1RqJEO34/\niiAIOAiCvrwXdAE+duE69rrloBW0LH/kv7Rv5WN0vV6OzXErviowVK2pYVzv2/QzhQ2Hd2KxgqSB\nSGz+BGUa3bT2t5NnuW3fx2a3lQJyUlISnp6esjjkV8pLUR7eizMi3Vt2YHtVoVFHaEqcpl/7rvwy\ndLSuTTOyoY1Bee1ioL1mkTVoKau8TAen1gg1ljnHoCsoycjIQKlUWg3G9w+/jw3bf2TXH7ttKviQ\n3NRDQkJITk622mk6OtpmXpCVlUV2djadO3e2ab9bwbiJIYoikydP1tsiyVFre3nyLNyd3YweAqms\nVbIZatvC16goQs6LqVQqrY6MpQWi02eLKNU2B0Hg3IQtOLVpgXcbBePucdSnL670e5rmvi0oveMN\nvjizkJKzLXB39mK4j5bhA+4ABGa+sUZ/bCMNilpUVF8ht00uTlUCzQ+2xcXRqd71jvW+k63iVZcN\nw5lCn9b+/HB4Jy3dTY+EDFMIJSW6smyFQoFSqbT4Xbg4uVCmrcHdzR0vjxbkXxAtLuKJosiMGTNI\nTEzEy8uLGTNm6OVGzbWz6mgGzZt7cn+73uzYp8S/Zct6i5fHCo6z+JsPqdHUIAgCHyd/rGd3mDsP\nQ/sqhUJBTEyMVQ1nuHrP7QlRFJmXtpY2+xQ0w3zVqXTekqysLRoiWq1GdsGHVGRir1SJKURFRREe\nHi6rotAQ/3g2hSiKbN26Va/Va0+be1EUSUhIYNWqVRQXF6NUKmXt98RX81l3cJv+d6ms9XRJod5m\nqKKqUvZ5SA+2nBGydOxZcV+xtWI4iCILPtnOt0lfGm2ncDpBs/2L4fD39P79DeZVrSWxYgnzryTx\n2OllOL7jinA+hzatzY8QK6oqee2Xz7ksXGGU920IosDl6kqj631mwH1UlFehddBy7nwx6uIKVEXn\nmJacyH0rXmdB+tcICLz/r6lm21Gr1ZSUlKBQKJg+fTqhoaFWA9Nd/RQsvsOfBY9GckeLK4CIq49l\nDnpkZCTjx48nOjoapVKJUqm0mD/OVZ+horqSlNxMtMCIrgOY/sMSxiW9wYNr4vh090YUbf357xMv\nMbjmL0StFkX5YXbl7OTAvvpsAQkBAQFMnz6d6dOno1armTlzptXvXrrnBeqLeLe0n8Fr2+a+9PDr\niHaEmvffe9TkNtJ7EhYWRnGxjpImJ5DJYYBcS0gdSnZ2tl4035Z4cmtkjG7E6O/vz4kTJ2TnVeUi\nNTWVAQMG4O3tLTtdYDji1Wi0vPHRV/zZXMfL/e+PnyAIV8tarUEQBOLj4/H29mbevHnk5+dbHBE+\n8dV8nhw4SrcyvXeZgSDPbMj0hcG6FepK0ZW+j89Hdd6UWWrtqGP2QKO/rln2gsk2PVv7UvLWM9AP\nFmz7iqnDx+pTMPN3fAFA89beegWzsLE9uMO/D1+rL9S2JpJXZF5TQeoE58yZw+TJk81uZ4gNxw/S\ns+YIn247Ro3gSD9PBzqHTgdM2xpJqnxShZq0wGUp97p56ntGv39cx+ZoHfAs0Mm/E0nPtmSfUw8q\nu95NfmEB/3fQdOGLNKhISEggISGB4uJivZu3JUhiRVqtyOD5UWx+9j2L28uFgyhwpqSQuaMnmfUq\nlAS0IiMjadlSR4uUgrIlzH/hbbucY1NA6uzlpKsk3ArG6EaOkydPJi4uzu7HDgkJQa1Wk56eLitF\nUReCAGF9+tPlZDv2ZOaanOpbgiiKeicFT09PJkyYQECtQ7YpWpKRHoQJQR6JWH9W0wbV+TK7reY/\n6nUvSuURjvcrAFGsp0shsSfWF2/h558yEEWRKk21/vN5aWvNHj80NBR/f39mzpyJIAiyAvIpZ18u\njFrMa77t9JKJmUezbb42e+Vef3IegyBqOXTyOD09HIgOn4mCd8xuL6VnQOdyYm0m4O3mQWffdnp2\niilI5gKdO3cmICBA1uDidHkhCLp1DZcay9VzhkwluU7n+nbqFHw42ZjntQcaaqor4R+fppAqi+bM\nmUNISIjsVILcY8+dO5f4+Hiys7MbFIxNFU3Yivz8fOLi4iguLiY7O5vU1FTr9KszmbDzA7h4BNX2\nRKa1msS4c15EJb9Hat5v6Ee/doJDjQMC4FjpzNnC+qMiqeLwownT6dsmgNIqY8ZH95am3aylIoX9\n+/fj7+/PypUrZZ1PRzdP/ByccHRwsItzcGPxTmgwb0Q8yoPtm1NZXMOSVdbXCCIjI/Hy8iI1NdUq\nJdPw/o7obLn0V3qOUlJSrJ6Dg4PApODR/PL0u7x3z9NWt28o6hZ8SMVRNxNujYxrUVxcTFZWltUV\n3IZg5cqVeHl52ZzQtwcavGBhIMhT7dqRMR3vpf3Qp3g/4ztKnIvRdrgMZtS9GoKt2w8jiiItTvjw\n6e6NfLjve1ydXPTCQYaLdqO7D2LXiUO082xJtaaGhfdP4+jF02ZPRxAEfHx8mDBhAvPmzZN1Pher\nL/Pe5rX4lF2+Zj5rlnC8zd26suXOFXBiPb09qi1uL43SIiMjiY2NtVqEUpc+aQ6G1YVyqtcMZzi9\nA3pZPF9vb2/Gjx/P+vXr9caxcmGqKOnt2Y0vBLqWWjW3gnEtlEqlPr+WlJREdna23Zw4pkyZgkKh\n0Cf2paDfGFfopoLph/cwcJiOnb5j+uoP+PXoXvq2CeAHE1tKU9nQ0FA9t1nOjMDrnhoKK0qIHh7B\n6ZKLZoWDyquusCpzE86OTpRVXmbOqKeo0tSwKnOT2WMbMh3k2m4N79yPLcf289Kj/9a3bW/bI1uw\nNnUpJTXg7gBDtH/yu7vpjkG6/5IqmTQTkDvtL6+6woo9P5v9XDpeYGCgrED34Jo460p8tRAEQbaZ\nqxxIs7/yqivM3LCMak0NyyKicXGyM0nbTvjHB2NpBTQqKko/pUtJSUGlUtktGM+ePZu4uDgjQ0y1\nWk1CQoKs/U3lwwy1f+0JSyNoQRA4VniKjl6tGNNjkNk6Len+ASQmJsq6j6dLCpkz6inae7ZkQNsu\nuLu46gtcjl86w9LdG/Rl044ODlRrNdRUXebljZ+gFUXcnU1bjRmK+ks60nKw+ajO5NSQ92sv2yNR\nFAkKCqK4uJjJkycTExNjNac7z30nXDxMhbMnr7R7jIIa8+cgdfjZ2dmEhIQQHR0tyzj2YmkRcz6f\nh2t1/VG3xHiQ1h/kYkTnAdaV+JoIGo2WuA+SyVWdQ9S68PprD9ywgRhu5YwB3cMriiLFxcXExsaS\nnZ3N7Nmz7XJsqXxUEjiRfuQGYrix8mGllRW8efcTfJWtNLtNdnY20dHRhIeHy87Bl1RW8NKPH/PY\nl++w7uA2owKX3q06EdS2K1pRRCNqqdLUcFvHXqx99P/o7tcBT1d35o2ZbPK4hosqWVlZ+Pj4yDof\n51q+c8L2dXy6W6dJIdke1f0uyyov8++UxTz2xducKSk0+qwupJFrTk4OKpWKuLg4WblXntkNs0o4\n+ngGR2scuVxj2s5IEtTPysrSi8FHRERY7UAqqiqZs3kVRR5uPBEeZXKbyZMnM378eOvnagAp5XE9\nlPguV1dyyvkMNT6VOAiCzZRQc7CXoa6bm5uRQaBgZSQkNiU5+lpDWmVuimPY49iNOU5TXpvh57tV\nh1m+7xfUl8v4+ok36m0vaWEEBAQYCXhba1dVdI6UP3bw45FdxI2KZE3WFiMroY1H9pCwfZ3RsuHg\nDj3IPH1U//umZxY06B7Yo/QXoEOnjmQdPoi7sxvuLrqRuql7KnUMeXl5PPDAA8yZM8ei4E7dY0j2\nVb0Detntmcs6fZxXDCo5Td1LURTJy8uja9euCIKgV0uzdNxn18UbpQeu5XuSfSaXVzZ+gscpL9zP\neFHY/xSP3x4mixJqCvZ6TuraLUm4NTL+m8AevbWcxYrXN63geOFpOvu2M/m5xE4BSE9Pl70II0mB\ni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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "#----------------------------------------------------------------------\n", "# Random Trees embedding of the digits dataset\n", "print(\"Computing Totally Random Trees embedding\")\n", "hasher = ensemble.RandomTreesEmbedding(n_estimators=200, random_state=0,\n", " max_depth=5)\n", "t0 = time()\n", "X_transformed = hasher.fit_transform(X)\n", "pca = decomposition.TruncatedSVD(n_components=2)\n", "X_reduced = pca.fit_transform(X_transformed)\n", "\n", "plot_embedding(X_reduced,\n", " \"Random forest embedding of the digits (time %.2fs)\" %\n", " (time() - t0))" ] }, { "cell_type": "code", "execution_count": 16, "metadata": { "ExecuteTime": { "end_time": "2017-05-28T11:11:27.456095", "start_time": "2017-05-28T11:11:24.137833" }, "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Computing Spectral embedding\n" ] }, { "data": { "image/png": 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H+7sLCoWiF1Cubb1MREREQFzWIiK0xM6X/P7GHtelUCiCD6UZ9zJHjx4NSLLCo0ePgoB3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\n/j7e97QzKKK2CSEoLCwkLS2NoqIiqqurHd4PxcX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=\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "#----------------------------------------------------------------------\n", "# Spectral embedding of the digits dataset\n", "print(\"Computing Spectral embedding\")\n", "embedder = manifold.SpectralEmbedding(n_components=2, random_state=0,\n", " eigen_solver=\"arpack\")\n", "t0 = time()\n", "X_se = embedder.fit_transform(X)\n", "\n", "plot_embedding(X_se,\n", " \"Spectral embedding of the digits (time %.2fs)\" %\n", " (time() - t0))" ] }, { "cell_type": "code", "execution_count": 41, "metadata": { "ExecuteTime": { "end_time": "2017-05-28T11:28:11.248247", "start_time": "2017-05-28T11:28:01.053230" }, "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Computing t-SNE embedding\n" ] }, { "data": { "image/png": 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YjRs3rtVnvkhISGDIoL5Mvz21Q8dWWFhI3759KSwsJC5OSb3aVeHm7hg05nwQ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\nj91m5+MHlnLR78dTuXWXoxKHX8eJCGV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HAc3Nze0aW0ewbNkyYmJiyMvLY8yYMV2XB7jf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\nPrNXKLoSl/8FRlwHmxdD1WlFnxjAw0/pGD1+fptOK6UkMzOTyMhIi/C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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "#----------------------------------------------------------------------\n", "# t-SNE embedding of the digits dataset\n", "# \n", "print(\"Computing t-SNE embedding\")\n", "tsne = manifold.TSNE(n_components=2, init='pca', random_state=0, method='exact')\n", "# https://github.com/scikit-learn/scikit-learn/issues/6665\n", "t0 = time()\n", "X_tsne = tsne.fit_transform(X)\n", "\n", "plot_embedding(X_tsne,\n", " \"t-SNE embedding of the digits (time %.2fs)\" %\n", " (time() - t0))\n", "\n", "plt.show()\n" ] }, { "cell_type": "code", "execution_count": 34, "metadata": { "ExecuteTime": { "end_time": "2017-05-28T11:24:50.869441", "start_time": "2017-05-28T11:24:50.865758" }, "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Help on method fit_transform in module sklearn.manifold.t_sne:\n", "\n", "fit_transform(self, X, y=None) method of sklearn.manifold.t_sne.TSNE instance\n", " Fit X into an embedded space and return that transformed\n", " output.\n", " \n", " Parameters\n", " ----------\n", " X : array, shape (n_samples, n_features) or (n_samples, n_samples)\n", " If the metric is 'precomputed' X must be a square distance\n", " matrix. Otherwise it contains a sample per row.\n", " \n", " Returns\n", " -------\n", " X_new : array, shape (n_samples, n_components)\n", " Embedding of the training data in low-dimensional space.\n", "\n" ] } ], "source": [ "help(tsne.fit_transform)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Manifold Learning methods on a severed sphere¶" ] }, { "cell_type": "code", "execution_count": 42, "metadata": { "ExecuteTime": { "end_time": "2017-05-28T11:31:28.118853", "start_time": "2017-05-28T11:31:28.104334" }, "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Automatically created module for IPython interactive environment\n" ] } ], "source": [ "# Author: Jaques Grobler \n", "# License: BSD 3 clause\n", "\n", "print(__doc__)\n", "\n", "from time import time\n", "\n", "import numpy as np\n", "import matplotlib.pyplot as plt\n", "from mpl_toolkits.mplot3d import Axes3D\n", "from matplotlib.ticker import NullFormatter\n", "\n", "from sklearn import manifold\n", "from sklearn.utils import check_random_state" ] }, { "cell_type": "code", "execution_count": 43, "metadata": { "ExecuteTime": { "end_time": "2017-05-28T11:31:41.431560", "start_time": "2017-05-28T11:31:41.422847" }, "collapsed": true }, "outputs": [], "source": [ "\n", "# Next line to silence pyflakes.\n", "Axes3D\n", "\n", "# Variables for manifold learning.\n", "n_neighbors = 10\n", "n_samples = 1000\n", "\n", "# Create our sphere.\n", "random_state = check_random_state(0)\n", "p = random_state.rand(n_samples) * (2 * np.pi - 0.55)\n", "t = random_state.rand(n_samples) * np.pi\n", "\n", "# Sever the poles from the sphere.\n", "indices = ((t < (np.pi - (np.pi / 8))) & (t > ((np.pi / 8))))\n", "colors = p[indices]\n", "x, y, z = np.sin(t[indices]) * np.cos(p[indices]), \\\n", " np.sin(t[indices]) * np.sin(p[indices]), \\\n", " np.cos(t[indices])" ] }, { "cell_type": "code", "execution_count": 44, "metadata": { "ExecuteTime": { "end_time": "2017-05-28T11:32:20.128224", "start_time": "2017-05-28T11:32:19.725803" }, "collapsed": false }, "outputs": [ { "data": { "image/png": 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qJ5Qz7eRxtNU2E9dTjDluHEPGVlA5eTh5+bmopKJ68iimnn4UbpeTeFcEt99L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\nvpz169cDZ6Zjr7nmmrhBVLzpWCGEEOJS06nTeZMnT+aZZ54B4I9//CN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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Plot our dataset.\n", "fig = plt.figure(figsize=(15, 8))\n", "plt.suptitle(\"Manifold Learning with %i points, %i neighbors\"\n", " % (1000, n_neighbors), fontsize=14)\n", "\n", "ax = fig.add_subplot(251, projection='3d')\n", "ax.scatter(x, y, z, c=p[indices], cmap=plt.cm.rainbow)\n", "try:\n", " # compatibility matplotlib < 1.0\n", " ax.view_init(40, -10)\n", "except:\n", " pass\n", "\n", "sphere_data = np.array([x, y, z]).T" ] }, { "cell_type": "code", "execution_count": 45, "metadata": { "ExecuteTime": { "end_time": "2017-05-28T11:32:32.353337", "start_time": "2017-05-28T11:32:31.165674" }, "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "standard: 0.12 sec\n", "ltsa: 0.13 sec\n", "hessian: 0.24 sec\n", "modified: 0.17 sec\n" ] }, { "data": { "image/png": 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5XGN0gtC0C7R69WqmTp3K3r17z6v+pg1r6VAnquBxoYqOdUqyacPaC2p7z549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oXgaDGsv1dplbT2pmCyCnEpwjubBLtb9NHvi9GgixYULkrdVoLN+Yf+wCkRH2RL5MJCiVhwXxR7\nsGA0ibHrADG06vxH8iC7KJ5gMaemSdj4F0SPihacblEcLrF06S2GmKrSqHGiGKxWsddpJfbXfxTL\n0PfE4nTI2GdaSGR0hFy/fl0WLFgguscjWlCQoOsS8doUSb16WWoePCBaSKUlk2q1iGI0SPqp36Tx\n7fPS+PZ5cbZoUmn5pKrirBknjpQkqbdxhbS7f0ra3T8lNRfMEGtclOhOm7Q++p10LTgmXQuOSdwz\nj0vLGU/IFPlBen0+WRwxoWL22KX+M91kSsX3MurUQjG6bBLWuJakvDBQzCFuSRr8iMT1bimO+EgJ\nqh0vRodV7G67WJ026fZ6X1ns+0IW+76QMV+/KEaHRWweh7z66qvSoHFD8UR7JCQ+VJ4+sVCmyA8y\naPsscceGyhu3l8m7/q+l84zHJK1B3b+iubdnzxJd18QZ6pC6XevIhG/Hy4qCpWKym0SzmMRg0OT1\naZ3l7KVp0rx5TVmyZIlUrxYns19/5GGWt0F90yQsLFgcLot8cehV2XPvXRnzRjexOUxis+gS7jZL\nh4ZxYnfbpcbyDyS4eydp3CCmMmCfyynBrVpK+PgXxJ2UJK+/8Ya0ad9eTPUaSOzRy1L1VIa4x00Q\nZ7BHRo4cKWp0nKiPjqmkofAYQTcKddqK0qyXEBojhtfWS1RCNbly5YoYLA6pMmKrxIzeKaEJDcVl\ns4jTU02MxjCJcnaRqp5HRVec4jQb5NOXWor/hxFybml/CXeZ5dTbnURWD5ChLeJkaJsECbcbZXv9\nKBmfGCJz586VQCAgGzZskFcmT5JPPvlEmtZOkT3xbpHaYSK1w2R1tEMe69FdAoGADO7XV5qFuuWl\nSLs4VEV2JHgkVFdlcqhVXguzSYimyP4Iu3Q262LWNenerp0cP35cBg4cKB06dJCFCxf+VVbD/07g\nX1ZM///w+Xy0TE9n51szaP7Lz/ywdCmt0+vRPesGh4JNLCqqYNKDUr6Jc/NKuJ0lMS4aWwz0vV5E\ndW006+62567PQH5xITHGyvgzumImTGvCjb+IAbNi2edY9Ehi3b0ZXOcBnZJ28OBBPl26PPLQWef6\n9eto+Pi4Z00mbruC1GqH/YW1WAfNwjZmOYGcG2gGO12Sf0UTFcXiQPk3Rx+DGewueG01SkpTqFYP\nNAP+UR+glBWhXz2BxeMB3YBisoFemcxG0Y2oJhttU0OYHpfJzLRC6sa70AwqEhRF2eWr3Fu6An9B\nIY5p72MdM5myA/vQ1CgOH73N3Nfa8HgDP64vRuDbMJ1gh8p3m05zP7+QcS++xJwPPsAz6hmSDvxO\nwvbd5CxfQcmxY9x6+WU8PbqTdvEM1bduQrVaKTpx+uF4qSYT9aY8yfDSn0h8tB2+wmKuzv6Q8tt3\nKbl8ncyFK0md9AQoCr7iP4t+fEXF6CYDfq+Pk6t3UVFYgt/r48Sn25nneZRl6c/RYe5TmIwK17/e\nTVTHRtza9Ttl2Q8YdGYNA4+vpN6rQ6gQYejjT3Bhxxm8f3g8F2YXUCUlmip1Ypj/8Z9w90kh+bE2\nFNwr5PCHGxERqrRIQTcaeTvhWWaEP83Fzw/z/dff/Tua27VrF+++NxeTw8QT7w+h2aCmLH92Jad3\nnsFgNVN/5hhsHhu9+9XF7w+Qm1sZmuXevbvUqhH2sJ+0WhEkJiTSvHNtouNDUBSFR0e3prS4AtWk\n86BCuNpvKNW3fUNwt44Yo8I5fOoujauHkBZuIuj2bYaZLax67z3Kyis4mHUPNI1bXVuR2a01BUsW\n4C8v4+ChQ6THxWD5ZQOxwQYGNXYR4tAwZF9HS22Nae5PKM5gUBTi4+PxV5SgWtzkftaH91v52fZs\nA5LdeVh1I+2rb6Z10pd0qfUrZT4/QztWB6B6FReNaoax6dgtPv8tg68P3+TkydusrhFCY7eZHfk+\natasyRtTXuX1p4dhW7eEDW9O4c69u2wpqfT1CIiwzauSmJyMoiis/mo9I+e+z+X01pg0jUevP+Cl\nECtzopzMjHTwdqSDEfdLOOv1cy3EgvXIQVql1+P8l1/SZNdO/vTsszw1aNA/zmT+G+KfImJSFKUz\n8CcqdRrLRWTOf1BnAdAFKAaGicjxv7XtPwM7d+6k4Nw5TisKmqIwRoR4f4BOBoV8gS3BFjreLyXS\n8Oc1s4pJI6AFuKh8iddXQSPzK5ypWMOx4vdpYH+ZfN91rpR9y6rFv/DWtNdJrl6dS9dzKKnIoX71\n2Rg0OyHW+sTaB/LZZ5/RqFGlaOfWrVtoqpFL90vYm5GPXqvGw3uqYQlI0QOCgmujqWaMWjDe7Bv4\n1s5GbdSFwPZVYHNCWAxy7yZcPIrv/j0Mj72CL609luM/ouSr4PXiMqkUfTcNc8OBlB77FinJ45Un\n29E8rTLhvdWsM+3XMh5cugbPzIQzB7DWScXU6hEAtJh4Kj78CN0Rzs8HblCnVjjlD/KY90ZHunZO\nZtjIddzOv89PolJ84wa2I4cJlJQQNHo01qbNuL/uS4oOHCD2g/dQNA1TXFU8fXpz/dXpqPPeovjk\nGYoOH6XmqpdQVBVX9RhKs3LwFpexv0FX0DXi+rYj7rGOnHl3DUcff5GkySMpvnKTrK+3cW+jwv45\n6zF5nNiiQ/HlF1HnibYkda7P2l5vYXZayL16l35nK0VUvz0/H3fVMDRjpVgovldLjs/5gry8PNKq\npjA9eRKWYBuF2fm0HtWe7R9uo++aidTs+Yd3rgInV+1i8U8nKLlfSGyVWC7ePkVRURFRUVFomkZR\nURFlZWVomsb27dsxu4wMnPYYTR6t7MNX7uPzSV9gqxpJrXGPcv6j9Sx4/ydu3igkPLwqPp+P6Eg3\nHyz5jQVvd6ewqJyFKw7S99FhfLf1S8rLvJjMBk4evEZIpIvYhBBOH80k59st2OunkbNpG9lfb8IS\nF8utnGyGtkvk699usGrZJ2z5bj0Z9wsJWv4FhvhE8teuRv40C6vdQKtWCVy7mceFM9exaX72fP0U\nVrOBrOwiGvVajhTcJ3B6L7LmDbr16cKuXbtIrduQyz++zlONIhjcqFIBvG54PVLe2sOF7E9ICHoc\nhykRRVHYf+4uTZPDyS+u4OjlHPafycLucrN42UpeeXE8U25XkHkxn4GDB9OuXTsG9u9HRt0wQg0a\ne/LL6H8pl4V+4fPCclxGE574RBZNnVY5Z1SVYcOGceHsWRr+vIOfvEK04c+e05EGlUIRNgdbueAP\n0EsNsEuE31QFq6IwSYSY9et5a968fymy/yf8wwuEoigq8BHQHrgNHFYUZaOInP+LOl2ARBGppihK\nY2AR0ORvafvPQkFBATEI2h+yx3ARzAr0zy0lWlO55w/gVODpmwX8KcrBtQo/S+6XYDOZMFvttC7/\nnBhjS5JNQ1hb0JJDJW9hUMoxGDQG24wM7BTLV9ezeLMgG01x8aD0NBGO1ogIuaUnWb7sGFOnTmX3\n7t0cPLCfwgofgzdcQlQd/84lGNMeQQ2JoeSzySii4K3IZduF9kgggzC7iXvbVuHbugwCAfB74ak0\nKMpHsQVD9i3k07fQdB1vUA282ZfAFURJYT6Bg6sp3rsCQbAGO9h+4AZNa0eyftclPlh3nCI9GMpL\nUZt1RS4eQwr/nNJRCvNB0fGXPmDLT9ns+OkSr05oS49uKQB0aFeN30/cpuzgb9g6dcPWriNFmzZw\n+/lxlF+6CH4fim6g5PhJnK1bIn4/xb8fwZedTdY7czE6rNijgzAHOSm5k8O+594nfduX2FJqkPPj\nbi4++zLXv9rBtbXbMAY7CZRXcG/DD+Qfv4RmNWMMC6I08y6BrBwSGyVSrVcaP6/Yzqkv9pA6uA17\nZ3yJKdiFbq20JAtJr8G5BV9Re0wvdJuF859uRTVq3Lx5k19//ZXVq1czfvKLTPz5dZYOXYjRbsEW\n6nw4Ho7IILzlXqqnRNLysd5snrEDj8eDx+NBRJj8ymQ+XLAANBWv14fRYkZRAgR8f86L5vf5Kbxf\nTPu1c7i8Ziuld+6Td78e3bsNYOzYsezevZsKH1itBuq2/QhdUzCazMyfP5+btzJ4vNFsklIiOXfs\nJqNf7cxHb27GX1aB7+hxLvUejGoxYw8Lwn87k6aNYxjfsxbje9YiceQ3vN41iqHLThAoyKfs94P4\nFrzDxz1qYNZVXvrhEv37pnH81C2qJ4djNVcuohGhdjwOE2knVnJjr5erxWV8/esp1u85QpBShv/2\nabJdrofvl1dSgcUAEY532H5hNnZTU/x+C4+8+iN1EoK4eqeAKnYjZ/PLeGzYAC6cP0ePfv25c/0a\nTROTmPnOO5SUlGDSNEJ0letlPh69eJ9lLavSMMTK9ONZbLhRQP3q1blz5w7VqlV7eO+kGjWY51fI\n8ga4kFVIvFHDqMJLtwpxAO1zSqhhUDnjrfwe1j94gVNRcKOQn5//rwXif8bfK5v6twI0AX74i+tX\ngJf/pzqLgIF/cX0OCP9b2v7Fb/+QHC4zM1OcBoN8qSiSqSrSESTVoEpJnFskwSMfBFskQkVGuEwS\npCmSYNLkx9phsis1TOy6LoOdB2RisMjEYJFk42Bxm40yMTlEajhND2Pby/B0SXJbRVNNYlCdkhT8\nlIRYG4uu2kVBl9o1akjd2BB5o228uMwGwWQTx7NrxDbsQ1GcoYLRIhhtgmYRd6vx4m71gigGsxht\nDtFaPy7mtdliXnNblJrNBHeEGJo/LsY2w0UJSxBcYcK4+cLQ1wW7WwzL9oqS0lBMTz4vjs0nxNWo\nmZiNmtgturhdLrGGpkhYwxfEYI8SxWgTXMFCeKxgc4hl1ESxvfimKHa36O5YUcx20ZNriz2tjgx+\nLF0un3lVTh6eKMk1wwUQPSZW4s9ck4Sz1yX++EVRbDbRQkNFdbnE3aOrqBaLODu2F1NSouhup8QN\n7iKWqFAJrltdTC6HeGpWlci26WKtmSQt752RlvfOSFDHVhLz7JPSJvuUNDu1S8yxURLTr5146lQT\nd52a0jV7v/QoPCopcyeJJcwtK8tXyqqKVTL33FzRzQYJrVFFWrVpLVaPU5oueEkeu/Gd1J81Rgwu\nm5iCnOKIixBLuEdMbqsYLEZxhwfJ8FFPy/PjnxdXsEssLqs4ooIkPC1ORh54TwZveUMsQXZJ6tFY\nUge3lcQmSdKwWcOH9LV27VpJql1Vpn05RtyxoVL3xUclOjVWOr/QSWwemwxfOEye+niYmB1mMbsd\n4qoWK67keKn2ZE9xRYTKik8/FZFK/VSPHl3FYjFIg/oxElPFLQ0b1pOKigrZvn272N1u0Q2aWO0m\nMZp0admuuoQF22R623gJc5jE6TLLSy+1lc+/eFI6tq8ubepEyumPeklanFsOz+0qL/aoJZrbI+7U\n2rKwd7LInE4iczrJhifqSkyITeZMbC0hHousfq+XZOx7Xt6a0FYcNqMUTmsrkSFBYuk2Xjwr88X9\n6QOxtBwsLqdNbCZNxraOlw8HpEqsxyKLBqSKfNBdHq8fLR5bXQFNNMyigWgKUtNhlGibQbrWDJOp\nbeLFadQk1GoQTVHEqKvy9qy3pGndOjIhNkjejXNL/6quf5dDxaAqMiUlTMLcTrly5crDb5CdnS1W\nXZMrDaNkabUgidBVCdcUmewxixlkb5RDJMEjd2Jd4lEVeRnklqrIO4oiVTweKS8v/4d4zH9V8H/Y\nDyIauPkX15lAo7+hTvTf2PafgpycHMZOnMi4BQsoLC5GgMk2w8PYSv1sRl7JLWVdkZcaFiOH6oWj\nKQoVAaHU72dnYBhNyt+mWO6QpXzN/HrhtAyzsebaA4q8fuwGjSKvn+wSH/WCpnEk502yCn/Gbopn\nQN27FJRfYtfF+lwY35Te6y+RXyEYkhtjqt8TAHOLJ7j/TAT4K7DENye48/RKL2hHBHk/z0Fr0hO5\ncRbMdrS0NviuncT2wIfBGUR2cS5MXoKSXplTQrzl+DetRC6fxjRvBbzyBI/XgImTHmfB+hMs3HKX\nWiN+Q9VNhDWawJnF1cDvgxqNMB/fTumnC1BUBTHb8AUKwV+B7+J5igw6G28Z2Z+/tcYAACAASURB\nVLL7CmUFJTgbpFHnqzc4P/WDPw+0qqIYTegREQTy8sjfsxcJBCjYuRvNaqbX+Q2YQz2U38/nu2q9\n0FBxBgyUuzyUHThL6fWbWOJiKDh8nOQPZqAoCqbIcML6dMF34RyFF2+Q8OIwNHOlbiWyR1suzVz4\n0ColOCaYgC+Av6CcBV9+wO+//87YieM5/MpCdIuRZnOeJbZzI7zFZeSeucqxaUsRn582r/Xn2qXb\nnP70e1avWM2Lk17kdvZdYprX4vvRH6GbjaQ81pry4nK6LH6OebY+LN62/eFrHzh4gNR2Sfz67VGq\ndG7M2aWbmXfybYKiPdTtXIcVz67EbrAz681ZLF2+lFvlRXQ79AWqQSf//DXGthzJk0OHoqoq9+9n\nM/W1R3i0f118vgAjR3/NwIED2bprJ7VWzKPk2k20z9ewbN0wLBYjF87e4fnHltOuqosMp43RY1qQ\nl1fC7awCcrKLaDNtB36fn8RwB2lV3Vh2XSHo/k38CZEPn98XEMorfCRU8bD6ne6Mm7mDjNv5WNxu\nikq8RL+7H+zBaCmV+jdFURBPFcyasOvjvqzadoHpW8/zRqdqjG5eGbMpNdLB7is2dNVKuLmcM71S\nsWgKLX+8RJDFyObBqXx1+i66QaVjSjgrhtXnbkE5bd5/lzfmfMDGdWv5dN8+YowBAiKoisLN4goM\nqsJbdSMolSxWrljBjJkzAcjOzibaaSfBYiDBYmBgqI2av9/mw/xyNAVamCvZXYSu0sCosaDMxwcB\nISQ4mOcmTyYzM5OEhIR/Nuv5vxr/p8xc/y4bszfffPPh323atPkrW+n/LyxfsoTXX3yRDrqGGyhT\nVWY6Daws8THRLThVhVWF5cQZdUaHWXkrq4iMMh/ZXj/zbxWRnJTAC5MnsXbVMuxOG+HnInj5aCZF\nXj9GTSV1w1mGVAtm/bUHhJjak+gagJ8KTuW+T8ca29E1C5piwmkyM3XPTS64G8KtnfjvXUV8XhTd\nQCDvNgoQM+onsr4dTc6myYT2no9qDULKSvG+PwLN6sFfnIPiCgXx40kdjCPxEfKubsZn/LNDHiYL\ngc0bwOel8KkuaHlZzJs/gpNX7rNs82WMrtqofyivdWsoim6B0XOx7v+G7h0TmTOpNRmZD+j17EaK\nJi3Ht/IdFIsF47VTJCydh6+giIy5H5P2/af4y8rRVCFn5lRsbTtSsH4dqs2K79pVRACfD7xeFIsF\nc6gLc6iH29t+4/aOQ6hGA/GzppDx2jsY/BWgwNE2fTDHxSD+AA8OHiOsR0cCPh/5B49RevYiQwYO\n4oete/GOHYzBaSdz3RYEOLLxCHHpcXw3ayNWjw38Abr06cr9rPskPpLGxR+O0fDxtmTtPUbNp7oA\ncGjqUopzCnh655tE1al06iq6m8+AxwZi99gJeP0U3s5l5KH38ZaU83nXN6g9tD3FWXmYTKZ/l+Qp\n934u2zbuI7ZWNLfu3iDg82OyGQFIaVeLmk1rMKTNE+Tl5eKTAlzJiaiGyunnrBFHeWkp+fn5nD59\nmiNnznPm0kV2/nqdhGgH9+4XcOzEFmyN6hPcrhnFS76geu0oLJbK/mOqBpFf4iXjQRlFSmX4jnfn\n7SK9ThTTpzyC3y+MHLee/u/9wokbRQwfMZJv13/OlG2X0VUVs67y4ubzlHjCmbRgP4umtOa9l9sx\n4vUfeZCXj6ZA586d+eaHXajbF6FXbw5+LxUHv6Z+9RBqxLh5++nGlJT52HjqLv3rRnKnoJz3frpG\nbsl1RISJKSG4jJV6gZZhdk6U+0j7+CCZBeU4zDpTuydjMmjEBlsZ0yKGk8eP8vWWrRw7dowRTwyh\n9ZaLtAy3sehCDgbAvu4ULoNG28uXH36DqlWrkuP18eKVXEZHOsjx+in0B1he1cUzGflsKfHSzWrg\nmtfPyQo/73vMvFzgJcZbwYlZM5k3YwbrN2/+m/nKf1Xs2bOHPXv2/HM6+3uPHv9WqBQT/fgX13+L\niOk8fxYx/S/b/sVvf9fxqqSkROwmk1w06SIWgxSadQlXFDkQbpNxDqMEq4pEa4q4NUWupoWLNIyW\n+TFOMalIsEGV3uF2qeK0y+wZ00VEZNeuXRLpsMrIRI/E240yNMEjkRZdrJoqVl2T6m6POI262HWH\n6IpDmlRdLEMbBqR14gYx6rqoFo9o7iqC0S6KI0y02DQxPzJOVE+0uJs8I5otTDRnFcFgFdUaJKgG\n0R1VRDHYRLG4xDpvv9jX5onlzR9EMTskssM8CW4yXgitIrz5pTBhUWX4jK5Pi7Y2Q9SXVwpGsxxY\n2l/Sk+MkvvE7opuCJabTIkl97pZEtHhDVINd1JXnxeR0yontY+T2kQly+8gEeWZYY9GGvSJqj2Fi\nqlVH7A6zBCXFSPKy+WIMC5Y213+TDrknpemh70V1OESPiRVsdlFtFokbOUAMYaESu3m7JJ66KM5B\nQ0S12yRucFfRQ0MlbPJkcXbrJqrTKeEdWktSjeqimk2i2Syimo2iWc2imk3ibtFILPGxYgsJkmXL\nl4vP55PGLVuIZrWIKSJEDC67JA9sJRa3VYxWo5jtZnGFuOSJxSNlse8LmXPjY3FFecTitsnEg29L\nYusUcVYNE0uoWxyRQeKKCpIJFz56GJiv2biu0m1qX1nk/VzajukozhCPaAZdVF2ToBrR0mb2UxJe\nLVbmzJv7kMYqKirE5rDJnw5OlQ2Fn0jrIc3E7LJKzVY15fVdr8oT8wdLSHiIZGZmypChj0vPwQ1F\ns5qlw65FMrBgr9SeMkIMTpt89dVX4gwJkgar35EmGz8SZ0yYNGlbXWYvf0K6DqgvVpdV2mYelCa/\nfSs2j10WrnlSth96Wbr1riOxoTZJiHGLx2OR3n3SJCkxRNatGizXzrwq1868Ku/N7i4hQXbRNVXc\nDpuMGTNakhLjJSnSIT2bVhXVbBa1Zh3RY+LF4bSKM8gpCR6zPJjcUg4MT5fEIJuoNpcoMbVFsboE\ns0PUqnXEYTXKmeWPinfbSPnk+RZiN+li0lVxmh0S7mkrmmIRBV3ibTbxPZEm8mRdGZHoEatRk+9e\naC61o51SL9Ytn41oILK0rwSW9JE+6VVk1qxZ8kiblhIf4pbkiCBxW0xi0xSp6TTJEwkeCTfrMrlm\niATZrXLt2rVKc9f+faVmkEN6hdnEriliUJDN1SrTlu6tESxWBYnVFHEpyKIgiywKskhzRRG/uZI3\nbDJqkhof/3fxmf/K4B8QMf3D+SAURdGAC1Qqmu8Ah4BBInLuL+p0BcaKSDdFUZoAfxKRJn9L27/o\nQ/6eZ719+zb1kpK4i+/h/1qV++jgMDLNbeG74gqGFnhp4baytWplyIFjxRW0uJDD1ZZVCTfpnC4s\np+mRu3y0eAmnT55Atqzh02t5XOiTTIhZ536Zj7hvzjKlYRSvNqhCQYWPBuuukFceR5H/Kkbdht+f\njdcWRUiP9yi7cYi8g0tA1ZDyIjSjG0tcU8rvnkXRDfipAE3HkNKOimNbMJkjKX9wFYJDsb6z9+F7\nFI+tjWJ2EMi+AeJDcYZh9MRRfvcs+meXHtbzT2yP5dYZUEx4AxY0zUpF6V1EAUUzENCAyDjUvDt0\naxzOB9M6YDJq9H1uE78n9Ub/diHptUN5ZWI7Ll/O4bW3thFwB6FqCsEdWpCz7Rd8peUEyiqQkmIs\nVcKJHzWQ21eLCHllauUz5OdzvUVD0DXiv9mAuUal5VbGsGGU7N8PuoZmNKC77ATKKvA/KOS1V18l\nOzsbEWHMmDHUrFmThs2bcikzA9VkxFtQRHizVNyJ0Tirx1J0M4uLyzZTnlfIwrI1qFqlRdqKoR9z\nNzOX3MtZNBnWhqv7zpNx6DKBgBBZK4YACl3mDiX38h1+eGUNU/a/RXj1SG6eyODLoZ/y84496LrO\npys/5XbWHdq2akOXLl1YtWoVmZmZpKSk8PToEazOfBeo3HRN67yAQL5CQXE+oSFhrFy2krS0NN5+\nexYrVi8k1+ak7O59yrJyCWmSSs7BU7z0wng2XDtF0bUM5P59yvOLqdMkjllLhqAbNB5r8S73FSuh\n7ZqRufZ7zBr4yr2EhdkZMqQB/fvX4+zZO4weuQ5VVejZtRYz/wd77x0eVfXufX92mT6TTHpvhBoC\nIfQmvfcuTUERQUBsVBsqCFasKCCKgoiChSYdBOlSQ2ihJJQkpPeZTN3r/SM++DvXea/znPY+7zmP\n576u+Wdm9tp7r7XXvde67+/9/S7qh98vmDJjM3JuGftHpHCl1EnvbbfYtHUHj09+hCbRMufuOihu\n3hu1S3/kpm3QTe7INz1jcPs1Zu65SY/0aE7fKKXImow8cxOSquK7egTXl9NRfC6MehVNtRHWeTmF\nZz/GXXadUDWN/tG/IITGjrzemNXrJFoVLlT56JoSyfZn2tH5jQPcK6ulxu2jd0oY2cVOKiQbD4+d\nwKWf17K5VwKKBEN2XOd6mZNLQxujkyUyy2t5aNcN+iZG0Gvu69y7d49vPlrOuVZhhOhVzlW56Hgq\nj6oWkegVGU0IErMqcHp87AvSk25QGVzkIMXr5+0/EU8FQpCqGCipqfk3+5n/yvb/qx6EEMIvSdIs\nYC9/QVWvSpI0re5nsVoIsVOSpAGSJN2kDub62L907H/0mv7RIiIisNntfFFaxBOyxAlNcFlv4Iqm\n8nmJh1q/xmPTn+Ln7zfy1L0q8mo9nHZphBoNRBhUrtR46HM2nzY2A5/Nf44SxUiy5CPWoiP0z5hm\niFElwqTSNqLuBROgVxmYaGHf7U5UVl+nVpTgV0zEPPw1ijmIgp+mYR+xFDW0HpVbXsYakkbVjd34\nqvNRwuqheRwELz2LZLSiDZlH2ZwUTBPfo/b7hWiFt5EjEvHnXEQ4yjHro4louYii7J9wlF/CXVkC\n+NBO/QrmQEhMQSotweUxAj7S231BRNRAaqqzOHawA35JA0lGSmoME59nx65vOTHyWyIDFG7drcB/\n+kMkSeOT5cPw+wUFBVW0bhnHsVIbUlUZ+T/uRZ/WEsXjRsu6gmwy46pw4ioswXstG6FpSLKM+8ol\n0OnA60UN/wvjr4uORkgSTd55kbwvNhAYH0Zws3pkr93JF9+sRW0Yjykplg29epBSvyFFAQrDbm1D\nUhR2thxH48cGoRh03NywG1dJJeboEAwBJi7tukDzQS2prXJy+2Q2FSWVBCaGc/PCPe6dzmHk9wuI\nat2A3c+u5uavp/l+7HIUWSaiQSSh9equ79KvFygsLCQ+MQGD1UTbNm1Z/MprhIaG0rtfbyrlShLa\nJvDFwi/Q6w3s+/oovSd3JufiPbIv3cMaE0HM+F6U/pbBojcX8/P3m3j++RdYv2E9vmonQ65vRZIk\nHHcL+LXZGNLT0/lq03q69WnInMWP4fP6WfD4OjauOoLX46OqzIFV76bihy0Y/H7Cw6LxeStIbxHD\npEntkCSJnFuldIy20TfSwpt7rnH0xG1qHG5qa70UPNEKRZZoFmZhaHIQmZmZ/H70BNOnTaP4j134\nS7agXc9E76pG56nlxL0KVl8oYNc7g2jZIBSP10+zqT+Sd/ALdPVa41j/AggFgYq56dPEdH4dSVYx\nBjfg+uYBNLZNwqiE4PZXEKSPokLc4mK1DwHcKKjE59e4eK+Cuf0asvXCfTJzqzCoMsPHjSXnxjWG\nxVlQ/8wRNgsxode0B6pyTe1GnH7BpQonxxYuoJFeECX76XI6n8NtYmhh1ePVBKnXSkkzyMh6PREJ\nSaSktaDzpk0E6DVkSyAZDgdPal4SJHhTUujSqeN/pvv5b29/C0W5K1euMGpAf7Jz8wiwmPl64/ek\npaXRuU1rGvjdGCSJMx4Np9PJk6FGonQyi3OrmB4XwLkqN0OjbMxIqoMyjs0s5WCFF4+zhlUd4hid\nYOenuxU8dvQeSzrE8Vx6FBVuH21+yKbGnYLREMFdz0HUgCjCh3yA6+4pXK772Ee9A4Cv9A7F7/Wg\n0ROnyVrdGmxBSGYr9pd/e3D9ZS+2xDprPd6bp6jdtAgpOApRXoDsF3QYfxdJ1nF1/3iq7h9BVoz4\nfdXo9GHIegsu5z2ConoTaEvjztV36DP0L6nKE0d6UV5yDMJjUL7+o26l4fPiH90YAsJAEhAUhiH7\nAh+8PYhX39hD05RIcu6UUVwj8DZsjv/cSfQGA16dAV1qOtanX8J3+yaVrzyNMSIYYQrAUK8+3uNH\n8dU68et0mNu1I2LuXNw3b5I/fz6yQYfmdhPRvikDdi1HkiRKM26yvftMuv+xGV2gjfI/LnJ64jxS\nnp9IyrxHkVWVs3M/JHfrbwiXm27LHsPrcHFo4Vokgw5VlgiOtuMqrWXMiDFoQrBu03eENIrBU+lg\nesaKB/3wUdJjyG5BgwHplN8rpDy7EFWvUna3hBYj2nH1t8s8tHgS7koHhxeuxWDQYwu3svTCUmRF\npvReKQuaLiA2LoaC+wVIkoxPCEbf2owxOAC/28P25pPZvekXoqKiSG+ZhhKg4rUHE9KuOXc37WXR\nnPk8O/sZYuIjWfrleJq1rkv07th4mu8+P4xJr7Jo6RDKyxzMnb2Zdm07k3nxHGHhBvLyKomPDyIs\nxELm2bvs69+QJkFGDCtP893qMUx55heE18+B0U3pEB2ATxO0/i6TodOe48svVhJoUblfVMnI0aPZ\numULbaIN3K5wUVReS7nTi/PXKcj/SyjrjX1su6kiBUQgKgrQByXhKcwipN5g4nssB6AyZy+3dkyk\noXEsBtnG3dr1JAe7CDarFDs8GPUK96o8hNuNZN2v4sSCbjSLrYPKjvjsJM6wVLo+9BDH133Kz70T\nUGWJh3ddZ9edSvb3SaZViJklFwtZkVVCgD2YiXZ4vUEQADMvFqAHrjq83HR4eS7KyqkaL3tq6wrs\netiM3HL70Ccksf/oMb7+8kvmzZ2Dx+uja7u2bNy2ndDQ0H+Xn/mvav+jKPe/sZSUFC7n3ObmzZvY\nbDYiIyOZPW0awzUny8ONCCFocauKHiEm3k20A5Bq1jHuZjk+TePd1LoVpSRJdLQq7C6sxaK15snj\n5xn/+x2seoVJU5/kwy0/8/HFC5TU+rHrWlDuvUyIasKSMhBTUicKfpyGKa4NmuGvbhfuGhACV8k1\nFGMwnrK7SDUmao+sw5A+CNeJHxBuJ3JEMsa4pvhvZyBObMQb1RC10oGsmMi/tALhrqHrsLvcvPga\nHkceaW3q+KGuZLxAZWUGmsmJEH4qyv7AHtwWt6uQ6oqLoNMhGQx/dZYkgSxDWR6S1Y64dQmfgPkv\n/8rsWQ8xaGBT7HYzY8d/w8Xzp5CtVvyx9dCuXiTg5feQg0JQE+vjGTASceYgnuxbhDkdFAoN89DR\n1Jw4ivPkSe6MH4+kyCiSoP7y16k6k4GluuABGsmWFIW/1s3v3Sbhq3EQ0Kwhms9P1sqfuLl2KzH9\nOlKWcR1vZTWDv55Dw2F1Kz+/28vZ1Xvw1box+czs2v0rqamp+Hw+1qz+gsq7xXiqnLgqajDarVTl\nllBTUEFYVDhtpvcmOj2J/PM5ZHx/lPPf/EbhzQL6rXqG5P5tAPDW1HLt2/2gaWxZsoWO4zoSXj8c\nSZK4cDYDv99PcXEx7Xt2xRBUx12lGPTYosOorKzk6NGjtOpRn+eXj+TAz+fIvnKfAq+P+XPnAVAv\nKZkDWzNIbRWP369xYNtFCvMqWfvdZJo2qytwfOKph/h8xVE0AW/O7kO7tglMnPQtGSdyOD4ihQZB\nJrbnlJMQaWPPwRt14xloYeDWawyqH8LlEif5Tg9vLV2CQa/w0ezetG4STo+nfyUtrSV7D/1G7oZx\nZN4uZ+xbv7Fs43leHJ9ORnYZ+87lI2yxiPJcZMmApdkoXPdepuTyt1Tc3kdQ/WGUXFxFtyQ9J3O+\nRq9KSJKfCGsgwxuHsjWrhKN3K5nTLYkPj97BoMgM/uQ4z/ZuQFZBNcdvljKiXSJTp0/no/feJuqr\ncxgUmSq3D7dPo/uem7j9ArMqM+P5OZw6uJ+H1KIHj+9DIWamXyzE6RfcbhVFtEFlJtA5s5B4Cb4L\nUdCEzIDcHNavX8/0mTPpP2gQiqIQHx///4H3+e9tfwuqjcrKSnp26ECntDSaJCXy6OjR5OZk005f\nFy+edb+GPK+f8H+oog7RKUTHxDBs5CiW33Xg0wQlbh+r8xyE+DsxyXyKmSYPY4z78Xpt/LhpG99s\n/IFvtu9h9ty5PPpsH0aNHUCR8ySuu6ewthhN6IAleKvyqM3YSsUvL1FzbC0lnw0n3uKnYMtYTLV6\nHopchepXcP7wEmXPN8S17W1wu3Dt/Ajnt/PwHP8BRRJQVYavppCc0y9RVXSK8JghyIqBWsdtwqMG\n/AX7DO9BTcUl7l7/BEUycer3Phw50IZD+5uhBYeCoqIYFLSP56L9sR/t7RnQMB2e/gDhcoLfh7AG\n4fCpvLfyLF37rWHOK3vo2DGJuJmPEf/sVGS/F8lgxF9c+FenV5RQ//nHaPHlm+QWFBD61Sbsr7xJ\nzPaDmONiGDwihYXLBhAbb8fvrCXi4aFk/3iQe3tOUXOvkMNTlmKKjST1o5fo9PsGnDm5tPn6TVp8\ntBAcDppFaKQ0CgKvD4/D9eC0sl4FBJrXS/du3VjyzjJikxPp0L0LnTt3pra0itRHe7G69bP88uj7\nfN58Ji3SmtMqvSU392YgKwrRLetRfbsET42bmpJq5H+oypV1KmV3S0nv3xyv083irotZ8/gaWrVp\nhc1mw+l0cvDgQUyqnotL1+HILyHrqx3U5NynZcuWZGdnowk/qk6h78NtGDC+HbW1tUyf/iROp5PL\n126w7/d7jOnxCSM6fcC1rFIiIyMoLa2j4RBCcOrEbSz16xE2cTTPLPgVp9PDrBmdMVgNdNmeRctN\nl3h4703uFTs49sddjD374nO6WDqnKwUmPfGNwujRKZFFj7dl29sDmfbWQXx+je6tojl16gSSBLcK\nqhi67ChlfZ/m3X2FmAZ8SafZW6jxyejT+mF99GP8movS7XPQ+asJMgps/nxqMj/C73VzMsdFUlgg\nn01qgSxJ/DImlSnp0fw0OhVVlsgqdhBg1vNMr2QMsszxa0WUV9bil1QmPjKJFR9/TK9APcfaxvBR\ngyB8fo3dLSJxdknkVKsoNE0wefJkOnTtxqf5Llx+jWqfxqoCN3NfXYSkyAT9g6xvuCqzs8bDilIn\nsiTRVvJx6+ZNurRuRcfUVNIaNeTx8ePw+/+Sbv0f4+9B1jd90iTxmN0ifJFW4Yi0ih6BNjFs4EDx\nUEiAOJgYKBL1itjfMESEqZKYG20Tk8ItIslqEm+8+oq4fv266NahnTDpdcKgqiLCHibs1BMt1Vni\neWu1eNycIYLkhmK4ZasIsUcKp9MphBCitLRUXL16VRgNFiEZAoQakiTMjfsJSW8RhtAmwhTTTkjm\nYGE0WUXDCLsw63QixpYukoLDRMekBGHVmwWqWSghSUIxhgidNU5IilFIslGgGIV92Xkh2+OE3hQl\nFF2gsId2FL3G1Ij6zRaLkPAeoveQMhETN1HIkl7Ikl6osk00CXtOyLogoU77UOg//kMYNpcKKTld\nBE56XKhJ9QVxDQUjZwp+uiNYl1knFmMOFKR3E3KfsUK/p0Dot+UIU7NWIjA0QKSs/1R0yj0vUBSh\n7z1ESEEhwjpjvjD0HiIks0VEjx0oIkf0EciyiD9/SyRk3hEJmXeEdcBgMfyJzmLMzG4iKNwmYp+c\nIFJ//FLozCZhCbEL1WwUqkEV0Y2jRYMODYQtPkLETBwimi6ZLUKaJYv5O+aIb11rxbeuteKhRzoJ\nY5BVjPzlVTF4/Vyhs5mELS5MRHdKFXqLQTQa3V1MvLpO9Fq7QOhNJmGvFykWit1iwuF3xYAvnxMB\n8WHCYg8QW7duFXFJ8aJBx1QRHBMqLHarMNpMQtapwhYXJkb8/IoY+NXzwhQaIBSd8uD8498ZK+Lq\nxYmioiKxc+dOoTfqRXhCiDDZjMJktwl7WIhI79BWnDlzRmRnZ4v2ndoKm90knlo8VEx9ZYBQzUZh\njAwRqskgWrRsIWRFEXGTR4ik2Y+KTr9vEPUmDhPTp08XYWF28czcXiK1cYRobNWLdxuGiK7BJmEz\nqOKVl/qIbl2SxTNT2ovJY9JFu7ZtRKu0RHHjxDPioyUDRHD7tsLWuKEINKhiUfMIMa9puDCrsnhs\nYGMxY3iqqBcdIL55tZdokBAujHqdGNYqRiTGhAh54ssPZG4ZN1+YVVnMaB4lhjeMFOagCGG22cXo\nBiHiufQoEWrRiX0vdhP9WsQIgylIyJJePNe3iTj3Rm8RE2AQ2ivdhHi1u9Be6SbiAwzCpFdFuN0q\n0uMCxbg2sSLMqhfBZr1Ijo0S40YNFxNGjRSfNw0XYkBDsSY1XETrFSG6Jz34pNv04uuvvxa1tbXi\n4WFDHszPMcOGiqKiIjFy4ACRajOKx8It4rkoqwhXZXGySaiwyZLITA4SSQFW0a9rF/GU3SL8kVZR\nE2EVXQJtYsWnn/67/cx/VeN/BIP+ZTt36hQfKAJFkjEDE/FyUK8netgo+qz9mnZmlZ6BRrrYDPxc\n4sCqU6h0+3nnnXd49+23sJuM1IuPp7TcTUr5VBLowWnfCjY5++EXPprox9FAN4Tj2gtcvnyZMaPH\ncSe/EBBIqgnhrsFXkYfiriRAFTTQ53K2yIe91wJ04Q24vWsRmqglPPA2p+Z3RqfIfH3iLtO/y8Bb\nUUhE7DA8riJq/IKkpgu5kfESla8/hHA7sUb0pHXzb8jMnMXhLQlIhgD8tSUc3BFDsLklD6eXIkky\nB64P4nrl12iiBkloyNF1dMpSXGMqv/sOfYP6UFQGw2eAwQTfvVMXmjBbITsTYpPwPN0PyWjGl9wS\nWXIT0rc7ZQePoIRH4L14BuF24c7NRUluiqnHUO4vmU3DeVMo2n+S8veXYp89F8/VS7iO/Mb1JqEk\nNopkxNSH2LBiK4Xf/oJiMhI0YQQla78joVk8bocbgyrRbUgq+zccRG/ux0xfiAAAIABJREFUjzO/\nmODYoAdjG5YQhjnCzumPt+KudCAjSO3VlBZD23B8rZHCnDwyV27D53RhjrDjLKlkRcIjuCscaD4/\nsqqQOqkXJ/84xeWMS4waO4bcy9mk9G/BlT0XaffCEE5/vJWT72zGEGghNCUBo9+Dy+Fm+/u7uHIk\ni8rKao4cOcKjjz+KajMTNqgb0tlrVN+4i4zG8P6D6N23N37hw+f1MGvZCE7suczJg9dp9/17hPdo\nT9WVWxzqPpmAZo2wNEykeO8xyk+cx5edywsn/2DChAms+fILblw/QGG3RAJ1Cs8l2mlyMpe33zmA\n1aInOTqQLXtuEBQUTG5uLm37rUKnyAgk8El83CqKR+sFA2BVJVYevc0TAxqTGGpm1ruHmDptBnn3\n7kJ+BqrkAt1foceAI5v4qlcyI5Prjk//IZNWMTbW9EoGoFN0AK/9cJEZ/RtxJr+YcpebzafvMWdA\nMmGBRp7efYMJqRF8d6mQCo9Gx+RQJrSO5Kfz9zl0rQifT2NWx3hGpISz/mIGW3NcZLk9PBztp43d\nSKnXz6UaD6lWPbkuHzedPlq3bo3RaOT7X7Zy9OhRxgwfyrkjh0mIjUESAjMaNySVLKeXGeFW2lkN\nGGSJ1nerWbrkTdatWskSVSBLMhYJxgkPZ08ch5kz/884pv8G9rd4QdRr2IA9BXfpSF2iai8qjVJS\neG3JEp5f+CLtW6SxvbyWfVVuEgwqTk3wcqKdQ+W1HKvycqVNOEtuV7K2WtBFqyMIi6Udy7RAmuum\n0tH4CuX+m1S6C+javTcuj4/44d+ityeSv/d5lKB4nNd3srJXCA+nRrDij1yulbfH3vMFAPSRKRR+\n2BGPz4dOkSmt8XDlfjV+2Upa27VExNRVW18++zQVxUeQZJmQBYdRQuKp/n4+GVeepk3Ljew71AC3\nuxBJElh1MaREPIdOsQDQNPIFjkvLMU59C8crPZBUHVJoDNrJ7aiPv4N34xuonhp8k1qATofBoDJ8\nQDI7dmdRY7CjXT0L05YhygoQHz1LrQzneo/BkZUNsooUEIDSvC2WBe8+6Hf3cgvRo/oR0qUNJwZN\np2bTOhSLhagYGws+n0B1uZMXx32Bzy/Q/F6QTZRt2MTwZ3uRmBqLrMjs+fJ3nFUuVBnUjHNoLjef\nPrqKWeumUZZbzq6P9+DxaVTdKSYwMRx7bCgTVz+JJEmk9EtjXuQ0gls0JLhZMlk/HESrdePSNMas\nfxZbTAg7nv6CS+sP0HlyEoWFhRw7dpTotATMQVbazR1Nh4UPk9AzjT0zPqXsyj3Cw8Mp81SyuO87\nGBLjSJo6Atc3e3hi9pO4XB6GHvqM4NR6CE3j1y7TsUtuFi9dTHhyBAXZxSgGHZ8u2sHc90dw4dx9\nwnu0B0C1WZBkmba71qBaTCQ+OZZDTQew4p33sNvtFBUVMeOpmWz//nsC/gydKJJElEWPISaQ3PtO\nihzRyHIWlZXFRIVa2PRmf6xmHRNe3UPO3Qoi/+RXAog26XDUelm16xpmg0qAWUf/gYNp164dffv0\n4mbeHVi/GFF4G5p3hZJcGgQ2fnB8gF6hcdBfxZnJgUYqnF42Hr+Ly6NDQsbhDKHeCzsxG1Syi2r5\n9mIxjcKNdXrU01tj0Cl0axBK+tJDmFSZ4SnhtIgOIC3Kxs8fnaFprwFEb96MLEFMTAztzuaTYtGT\n5fQy6clpNG1axwkmhOCRMaP5MM5AM6ueNscqeTTSSpJJ5e07lbSxGlhV7CDZqGIKDuHu7TuYTCaO\nHTzArpMFtNKBXwj2SjraNkn5z3U+/83tb/GCeHfFZ3Rv3559tQ4cmoatXjJrFi4EIDk5mfWbf2TC\nmNFIQnC11kt+x3jC9ArPxgbQ4nQeK+9VMiXayuc5+QgEEhI+3Ag0zns/52rVBjTZhV9VUPWRhDQb\nSED9vgDEDviMm+u6Y6nXnSrXOUw6Bafnn8c5LXqF68U1ZNyrYMjqTISlH6r6OyZLwoP/mC2J3Ly6\nDCmuMbItBElnwDJkASWL2nHqzHB8gRZCZu8EIaha0pfC6sMkBI8AoMBxBOrFoEQ3wFC/M97PXsBs\niCdUS6M05wo+l4PXn+/E4L6N+HnHFT5cc5J5s7uQ0jiCVz84Cc9+DEl1E5LbV9F+XoEjKwf6TkRq\n0AKx6WP8GX+gFd9HDovCd+kseN3ow0PQBdvB5WLgvQMoZiNnxs9hatf3kWSZ8AEP0f/rN3DmFbG7\n/aMIYO+XR4htHIXL4aa8oBIh8ug2uTPj3hzN+V0ZfD7tG94a/gm1JRVgtSK7PPgdTnq8N5Uj89f8\nk36VFJn0eRMouXgTnU4lvmsqEhphTeJY3eVFmj3chZj2jVm7/htat2qNOciGhITm19D/CSZI6tWS\nPp/O5OYb25g5ZRoLl75I6f0qJh1/BVlRqD+6G+uSHkbz+glsWEf2JskylqQY7h88hapTcKpmht/b\njWo2cmb22yydtQm/10/FxSzszRvhuJ2HbDSg/EksKOt1BEVHUl5eTpN6SdQz6rlZ4yQoJIRZV4t5\nOt7O3rJabrn9mFw+AgICKCm+j9Pppne3+vRpFkFqcggAb8/qxKQ39vH02Ty+1cfj9GssPH+fKf0b\nUuPwcvRSAWXVHgoKCrh06RKnLmUhpXRAbtYF/6Hv0R37hQaNGvPcsTus65lMYa2Xq2W1XC7Lo2tM\nABFmPbMP55BX4SKnzIXO1hIhl1DpLiTK0g+DbOOO41daxpj4Zmxj+q45gyJJfHDgJm/szGJ8ejRB\nJpUea06zsFs9xqdF4XB7eWPZMj5fswav14vRaGT37t1kZWXRv39/UlNTH4xxTU0NhaWljElPYtiZ\nPEaHW/isUR0SqUOAkUEXC3BqgiU+Kzv27Xig+vf+ylX06tiRne5aKv0aEY2b8OwLL/z7Hc3/hfa3\neEHExsZyISuLkydPotfrad++PTrdX6upfv36UVhWTkq9JG7n5j5IbkmSRLheocan8WtJLUajgR3e\nycS6u3GGz4kkDZ1ai0eXTanXgy6gMSFNxlNTlvmgbW91LpJqwpl9hPdul3K70sUPmaU43D+hC2uA\nLqwBrn2vY1IUKjWVVu+cIdCeTseW67h6eSHXzs8htc1K3K5Cbl15EzQfpoIKyl5uje2J1aD5ERJU\neK5hHf8mSkgdEsMw6iWyN7xKqeMsGj4q1XyMY/ciasrR7lzGSBCTtL0UiHPsODEHZIWjF4rZczyP\nU+fz8PpUxjz5C/kF1RAYBjUVf3VoVRmG6Ag8IUlI05fWfdeqO+KRNKoefgilXiP8t66S9ORonNn3\nuPHGCmSzkT1Nh6DXK2iOWozxcVRcvUn7NXU7MnNMONEDHqJw6376TOnGmPkDEULwwZSvOLvnEqNe\nHQZA025NcJbVMC3nB1YHD2Fwxk9oPj970kbw+6vr8fsF659YRdrQ1pz45ncMoXZsSVHsGjqfcT8u\nwONw8dtr3/H7Oz/T4ZnBdH2xTrkutEE0G3/6AVWTKbpVQGCUnXNvfo8pNBBDoIU9T32Cr6qWQ0cP\no7oVVJOCJNc9J7KqoOhVktomc+K5D2m9eBplGTco2P8HDZrHculkDimTh6CzmgGoP3Uk97cdQnO6\n+L3nFAIaJeDIyUVogqxXPiRm4hAKt/+Gv7icZa+9xrZwHR3NKrnBFprnlLBegg2FDsJDLQSFWymv\ncpNUL5GLmZkoMpRVOLl+t/zBcGXnVWK1Grh1r4KBv99Gr8pUePys232dXuFWPm8Sxra8Kt54aSE9\n+g9EM9vRLfoJSdUh938c75SmvP7mMh57eCQtfsjErMpMbxrGsnP36bnjHkKAIa4jlfcP0WnABarK\nzpB/ZT6e2iokBKW1F9DJRpKCLTQIsxBokIleuBuvTzCsWTifDE/h4fXnCTLp2ZxZwOKD2TzUtTtx\ncXFIkkRZWRkdW6fjq6qgyu3h/KkTrP9h8wN9FavVSoDFwsESJy5NEGX8y62F6xX8wPDBg/lh6zYc\nDgcnT57kypUrvDJ3LoXl5XjDw3nzo/cYO3bs/6si4N/Z/hYoJgCLxYLVamXL5s3MmPYk7777LgcO\nHPhfCXBUVWX/0WNYdSqPXyvmUo2HlXlVHK90s60KPiyFXYcP0fuZOHy9t1GlyyZOaU63xBLuTWiE\n3WhCZ4kkNPVRanNPcm/HNAqPLOP2plH4qvLRamvIq5I4cHkk6dZNROii8B5+F+fmp3AVF+L0xdKx\nwz5apK2mqjITj6eURk3ewGppyLG9rTl9ZBCSpDAo/TKD06/Qrf5PVH3+COVfTEaSVAzmKHz5f7Gk\ni4r7GAxRlHouUhZYjc9Ziv+DGbie70QjMQgfTswihKvaZjSdQsCrB9l/2cfJ8kj0n9zAsiqHu0oC\n7oAo1DHz4d0ZsG01rFmEdPhHwh4Zi2T9S4IU/Z9azBYz9qfnEPz+au4fvcKJ3pNJV20M6NMPvean\nbcdEVh58npnPtcdg1JGzYSe+WhcnprzG3U115HfNutRVWUuSRFr3JkiyRFVRHQ353lW/EdIolp2j\nXiWiVztUqxm93Ubcw/0pycxBcfrJ3H2Rnxb9QkmlH0dRBbc2/4arrBp7Yjj1+7bEaLdwc/9F7AkR\nDy4/KCmCakcNO7fuoF50Ild3ZyALwdH5X7N76od0mNmf525+xtmCq7Rs1QpnYTm/P/MJuYcu8Nu0\n9wiLCWLUi4PI/n4/m+qN5PRTy3hu1SOoJj3IEhcXfU7mm2sQQlCw9zh+j4/Xv5nM2xsfw1pTjlGS\nSIiMpHbXfq6MmYF3x6+4a6rQCY2O5rrFTKxOIUWVCFr0ImGrV+AYNZ6bPitOr46Mixl0Twtn6RPt\nKM2v4qttV5iyZD9zPj7CCx8d5X7Tbuh6DKB+fBAuj5/9neJRgG/bxdIlzMJ7LaKw+2o5euwYUkAw\nkvrnAsoahKQ3kpaWxvjJjyPLEvWCbLx/uQK1SR9qNIXgcVuwdJqL0RJDRckxiq/M4rkuNhSpliD9\nIVQlF1Wu5efMfF7cmUV2mYvH2sbyTJdEtlwqYtGeGxRUubj2TAdOP9WOjwc1oqToL8jz7GlTGR7g\n4ergRLKHNyD/zFFWr179YOwkSeK7H3/i4WuV3BU6PsmtYmuxg/PVbiZfLSYgIIAvN3zHjRs3aFY/\nmSf69eGpKVPo5ahkikGmeXkJC5599oEv+B/7y/4WhXJQJxg0fthQnsVLuSZY5fITbjHTZdBgvvzu\nuwcP4507dxjUvRv5+XlYrVbmvb6Ypk2b0rJlSwIC6rQBioqKSIprQCz1+aRnNSZFosfefISsJ7rD\ny5hCUrh3aB7uymxUfRAhsX1Rc/PIdeznicRydLKZncVpJEaUcq2iIQ0bLKayKpNL1+ZhstXD6y4l\nLvZRYuLGkXlxNlVlZ9DwEmxpSZ/mRx/c049norBNXkHp6rEgG5HUOgii5q5BZB5FFgoe2QHWIFSf\niuL2Eiw1pNSXiSKb0UlGXAYf5vdOIplsVH8wBl3Xseja1a3WPYc34Fq/AMNnF9Buncd/5Ee041sI\nf3w8UdOf4FKf4WhDZ0D9NMTG91Fzr2EwqrgMNsx9hyAO7cFXkIershI1Ng4tP5df7771IHTz6uRv\nOHnwOobQQAIbJdJ25UtkzPuACFcpc9ZPxVPr4ZX+H1CuD6Tmyg30ZgOaz49fA82vkbp4FvWnjcZX\n4+RAp0cRFdU0TkzmXMYFAhonorMYceYW4a10gCSIb9+QIStnUnI9j28HL8YaYWfC1pdRdCpbJn5A\ndW4ZjuoawqMi+fmHzbRr144Zs2dxJ9FJ5+eHAnA/I4efhr1PRGoM+jAz9y7cofx2UR0briTj9/jo\nMKwl0z4Yy88f7mPPTxfp8uN7IEn8PnIOkt+Pt6KKQeNaMf2NujZvXc7n7Sd+JPduHtvvLkP5kyLk\n9UfXc35fJkuCDUTpZEIVmSF3K4nduglrenMAcp9bQNEv20lpEMGZj+rgzeXVbuJHr0NoAsmgw2uq\nC5vpWrZHHNlDxyAD36VHkXowh7zBjTD+SUVRf+cN8r2gSgJXm8HIE1/Fv2sN0Zf2cuf6VXJyckhp\n0RZD92cQ+98hSPZS4/UDEi7JQK3HQ3hQHN9OiGD29xdZ3CKSUcnBVHv8NN98hdwaDya9xMIeySzs\nWZfcXvtHLq/tvcEjaZEs6V0HnLhf7ab5qgyKyysBaJIUz+ZWNlKD6xYhH2YWcittAJ+sXPVP5nhx\ncTGXL1/mt99+Y82Hy/F4PKSktWDXwd8wm830bN+Ofjcu8W21C4cmKNYEc8w6qjTBZy4f2/btp2fP\nnv9uH/Nf1f6nUO5fYfOenkVTj4trssQ0kw6zJFGClwO7fuXw4cMPGBwTEhLIzM75F9sKDw9n5qyZ\nrFnxOd/f1HPVIRHVaj7555ZTePYTNJ8ThEb9rqvJPjKL6uKzaO7rSHjZmBdKW/tKAunJ4Vuf0r9X\nBnpdEMFBHSipOEptQjgUXyPnzufczlkBAuoFjycl7Fl23ehKjSsHqzGJwsrDaLJWJymqGkBoSIYA\nPBl7UNxeOisvY5cSOcxCHFoNHpsZoUjcrzpedxN6P7WeYpT4Tkimup2AZLHjPbsTtW2d4/LnZCDb\nbHgXdkdq1A7t7H4QUPTlBjy5hcS/toA7i95CuNxEhup588uR3L5VwjsvbaP9rUx+v3eboA9XYmzZ\nmoo1n1PzxQrKi6qIiAtGCEFpiYPwGdMo/motrT+cizk6jDarXuFA50mMj3wGTRMoBh1J80fScMkL\n5K/dhCPnHpWXbiH5fVx4/l2uLF6J0MDevAGRU4Zx5qVPMEWGYggJpPziDYLTGlB26jLB4WHcOXaV\nVR3nobOYaDCxD9mbD/FV14XYA+1U19TQ55s5JA9qz82txxkwdDAzpk7j4N791Fh8BMSGIEkSBZfv\nUFFVzf1dp7FG2GnSOxWzVU/+5Vye2f8Sb7V5kVuZeUyMn4tqMdL2sxcJaJQIQIs3Z3HiidfRnE6K\n8yvqyNAkidKCSqwWCyBRUVxNSGQgmqZx90YBQtNYVuSgmSpz3OPHb9RT8smnyHOepzbrBpV7DyDr\ndNgtur+KDM06dIqMTQdFkop96eeoSclUf/QmvoSGnMu5hk+DPmEWBh+5w6OJdrYXOKgWgotv9MTp\n9tP/g10UzNpBk2bNOHDkELIs883Xa/G6nRj3LmVG/QCWtYjCowla7bxOtqOWULNCTfUdruSbuFHi\nZPCfRac2vULPGBvf3iihR/1QogL+QkeFWXWUOjx8m1HAsx3jCTHrWHk6n9SUJuzcuZNtP/+Iz+Ph\nxTP5bO1dD48m2F7gZsSEZv9sXoaFhT1geX799df/2e9ZN27wkM9PjCLjkQVLDCoGBJt9GimyxKpP\nP/m/8gXxH7J/Lz72//SH/0AdxN69e0WgLIuVJlWsMKkiTEI8Z1LFKJMqonSKUCRJ1I+JFkeOHPlX\nt6lpmti4caOoFxMlDEa7aDrqkEiffENEps0UkmISij7wz7oFgzDozOK1zvHCPa+zODShuTCrsoiK\nSBR6vVn07nZTDBvgE8MG+ERE1FARNfRz0ejlMoGsikCTVaiyRYxsmi0mt9RE+7gVQpVtwmJIEopi\nFuYOk+pYYXUmoQYlCtkcJMxpo0Rr5Wnxsl6Il/VCTFHPCpveLgiPF7IpROgiGgkpvqFQug4S6AxC\nsgYLXeshwjh4riAwQmC0CjkqWcgxjYUUECYkm12EzJghZHuQkKMbi8DlV0TgB1eFEpcqpLAoweiZ\nQlFlceDSK+J07lJxOnepGDymtYhLShK6iHBhGz5SJBw/L5Iu5whZp4rgiAAx5eWBol2fFGEKMAnV\nbhOqzSK6/LJcjHOdEuNcp0T8mN6i2aInRefvlwnFahKSQS8MAWYxevEokdy2nohPSxAj3xglEtvV\nF8GN44Rq0ovmIzuIwOggYQ21iU5P9hLhDaNEWJsmwtYoQUR2byUi42KEajGKeiO7iraLnxDTaveJ\n2O7pYsyYMWL37t0ivmVjMUfbK+Zoe8Uzju3CYDUKfYBZNH9ygIjqkCJMwVaR/FBjoZoMouc3L4kn\nqvaIrqvmCp3FKFoNbSkGPNdPGK1GEREdIXQBFjHg7AaROL6/SFsy88F9NX1pitDbrcIUFSp0dpuI\nSI4QE+f2EaHhQWLr1q3ijcWvi5jECBHbNE4YgwOEAUS4hFhs0YkVVr34zW4QRlkSIx7vLKIbxYjQ\nhHARFB4ukGVhMqjinentxYkVw8Uj3ZNF7zCLMMmSMHXtLSLP5orIs7ki/ECmkPQGkZraVFhUWTQO\nNAuDLInokCARaNSJfXMfEuLr0UJ8PVp89mhLYTUbRN9eXR88842TE0RaYqgIN6oiY2BDISamietD\nGosgoyquLOwqxEeDxJYnWguzThHJwUbxVrsY8WyzcDGqXpCw6xXRItYufpqULhKDTGL3E61F3wYh\nQpEQRkUSfZKDhPVP4SCrXhEWvSoC9Kp4OjVcrO+RJJoGm0R0gEnEBQeIUUMGCa/X+2/yAd+uWycs\nqiIUECk6WbTRyWKeSRWJsiTWmlSx1KAIm6qKrKysf1O7/x2M/0AdxN8iB/HpsqV8YlSYZlCZYVB5\nw6iyrtbHMY+fF0NNOJuEslxxMHLgQIqKiv73DVK3bRs7dixZt+8ybNhAbh9+Fs3nIrThOKwmG0FS\nNYtahhCk86GIWl7tnIBekekab6drXDjNmjXm5Zdf4nzmEHLuruZ85lNU1F7C1mQomteBLMGoFsGA\nTFFNXVipUeg07MZUVJ0VWbZQ+8eP4PcQO3UP9eZeJnbyNmov70ThrwS8jIokAaX5yKZAfBYZ41cH\nMby+Bv2iVQi3E8UUjOT1YWzeDyUqFq22Ai3/OoYZqzHNWkv595tRgsIwDX8ROTgGOSga44iXEY5a\n2Ps9sixTVeF8cM7iwkpqkmJI/eYjrEEGCqdPxpuTjVBU9K++x7cbLnGjWk/3rL30u7mXwBaNOTp2\nAWfnfsjhES9QcfEGjWaMIX5Yd/QBNqwJUYx4aQith7SkLK+cl35/hUELhrBg93xq75cw+v1HeOyr\nJ6mtdDLvzFuM/XwqC86/gye/kNr8EmL6d6KktIT4QZ2JH96d/GOZbO8/j4I/rrLnzFHGTZxAaU4+\n909n4XN5uLBiK5KqMGz7EnqtfI6xRz8kOCWR/Eu5WGLDaDihDzqzkZQpgwiIDydj90UefnMMbYe3\noU/PPkS1T8PeNJmm8ydx7ePvOPXUm5yesYxrH20kelQ/emftpt+tffiiY7nzh4tXXnoNl8vF0CHD\nqHH40Y8Yjc4n6KtIuASUevwcdHl5qsqDTxNMmNyWrQdmEmCWcYWE0PD0OUyTnuDNdWfpP+9Xdp66\ny+VyJ2GqjPn4b7jfrWPU9d3LwWAycfX6TVxjZpK9cDXSumOUOGuxmVTuV7gfjOG1+9XodAqZmZlU\n/ylDK8syfZuGYFVlvr9dtwO6UO6kRWwATSLrdqFDm0WiyBL3q/y8cSYfzS8YGBNAiEElp7SWNnGB\nLOpTn0kbM9B7/VQ82YbLE9LILq3l80GNmN0+DlWC11pH0T3aysedE5jYMJQDgxpR5vKx8/AxNm3Z\n9m9KJu/du5dnpk7haEIAjpQwHrLqcQJfuXx8bdYx2aCy0KRjhiqx9osv/tXt/h3sbxFi8vv8/APb\nEAbA82dEblZIHbJkcICBVI+f9evXs/37jVRUlDNw2AheW7r0nyCeANxuN7t27cLpdNYJsh8/g6vs\nHtc3d8JukHi3ZRCfXjLQOtyCJuow1jfLXTQINuHxa1wrc9CqVSDTp0/FZrOwYN4CvJofc6O+VF35\nhfKTK9CbQ/n6XAVRwz/n5K/Pc7NyAw7XbXSGEKyGBtR4biHrjSCZKNn1MjGPbsYY2xI1MIqzZauw\nUw+7lMBhaQ4unxNJb8VXeRel41ikPyeX0rY7eN14Tm9G87qRA4IRJgOKYkAz2XB9OgXD8HkIRzXG\njp3w3r8G/Bl+yr0MioTR56BB0yhmjP2SidMf4lpmPhfO3qPVhXWogQHYWjbjRGp38h4eSujCV7H2\n7E3lZx+Suuz5B6ie2FF98ZRUcH3lj6gGHfrgAI498jIxAx7CVVKGodaIOcCEy+HGGmJD/6dQjsFi\nwGgzEVY/ktpKJ3qzgaC4OnijzqgnJDEMz+1yMl5bhcFqpPDIeZrOHkOPzUvZED6AkBb1kRWFkoIs\n0DR+GfgSPrcX4dfQ/BohTesgxpIkEZqWjCUxirt7TuOurMEQaMVVVoWzsBwhwOf1YbKZsAorlQez\nuX/gFJlLvkTW6bj7wz4CbTaMEaHEPVyXJ5D0OuLGDuSPF5dz+swpLIFmnBUuAtukE/HwEEreXcEt\nTfCdSWXgn6i68bVebksSYweuRFZVfH4If/F5vPfu4V//FUPSo1kyLo2MOxU88slxTtWzE6FTaPjz\nt5RXVuA5vBeTu5aHg01UHvyW3/b+gFi1H6NOYdGghjy/8QLn7pRRUuPh57P5OL0SlXIg0Qn12L9r\nB9NmzObVl+fjc/v4JruMjbfLKXP7UXQKxTVuwqwGzt6rwOPT0EnxdI0q56P2dbDfbpFWmm2/Qery\nE0RaVGq9Gks7xmPVK1j1CtObhrMho4DjuZXUDzAQYtRhVP5avxoVCSEETZo0ISsri1OnThEZGUnv\n3r2R5X+6zq2srGTOrJmcOn6M6JhYTp07z3iLSgtT3Tx+O9JK2NUSTMA/yGxhQuDw+yktLeXOnTsk\nJiYSHBz8b3M2/5fZ32IH8fgzzzBH0vGTx88mj5+XZD2fr/8Wj05PnreuJsGhCa5UO1n66itMr7rN\nF2YHJ9etYd6zz/yTtmpqaniobWvef3oqX82fzSOPTiUscTmd+18iKLwXyTYDV8qcVHs1Ru3LxWNt\nhF8203LteSZtzyJtTSalbi8mnYnEuPq8umAxfp+X7tZPcFzfRdXZdYS1mklIxxexNhyAvelI6j11\nEqXnRKpc16msvcD9ir1Y6vWm8Qt3afz8bfSWaEr3L8FddA1fZR4PHF2ZAAAgAElEQVQ+xc8h6RW2\naY9QYSlHPPcV+L0gK/iP7kbLvorQNNyLn8JiVvlqSU92fTmGCIMHxSkI7/suYb1eR/K48OxdhWQ0\nYenQDu/vX+L4Yio1n03GvfsjrMFm3vp4FOu2TOO5F/vxw1cn+PWnC/gDglAsdc5fuD1oHg/CVYux\nWV1iVY2NJ++nvQhRx5lUsPN3dCGBqAYdyVNH0O6LRVRfusHt5V9hDTQjkNj0xlZKckpwlFbz67s7\nKMouYuvSrTgrnJz/5TTW8ADMQRb2vbMVj9PNpV/PcfdsNlpVNbPPL+elwm8Y9ulUDo55EUmSUE0G\nKq7expoQgWrQMe3YW7xcvI5HtixEkWR0NjNH5q/BU+2k4EwW1747SLNZI2k4rhc/d5zO4Rnvs6XD\nNOyRgSS1TOD4xhMc23CcDT9swFvr4PdR80ieOoqu2z8momdban0eTNFh3N/+W919+3zk/byXhq3j\n+fDCYobP64+sl6guLEIJCsQrSVQAjf5kUS3WBEFI2EJs2Hr1Jn7j95hapuM8dRLHhXM43F5WPtmW\n+FALg1vFMLBVDEOyy7nv9ZNuM+K7dYNI1c/7iYFsaBjCjmQbkw0exAfz0Hx+fELw+7wuRFgNXL9f\ng8sPSlxThNeNr/0j9O43gM1bthMRaOaPZX3p0SIaS4ABvdXK8DFjaf7eSXp9cZGuH5/A59djkGwE\n/IPKoUWVQZJpVD+ZnrEBGBSJjJK6XacQglOFNRy+U06wXuF6hYvGdiO/36/m3Qv3OZhXxejDeTw6\nfjxbfvmFLm1bs+/NhcydNI4Jo0agado/maNjBg/Cf2gn39hc9Mm9jN/l5KLLi/YnyCXD5SMmIpyX\nly7lCUnPLq+ftW4fnyp6QsLCaBAXx2M9e9AgLo6ff/zxP98h/Teyvw2K6acff+SL5e8jywozFixg\n0KBBvLt0KSveXsYAi8oRl4YpoR6dS2+zPL4OrXTb5aNDtpP7ZX9hyt9+6y3Orn6fH9LD+PBGKW/k\nxqMzRWEJSCG+3lSO7m6CVSeo8Sk0G30Cc0hTXP8Pe+cdZUWV7/tPhZNjn845B6BpQjdZkmQJSg4C\nKioYQAyMigkTBsziIDpmHEDBgEQBRZCMJJHUpIZuuoHO+XSf8Ht/NMPMvXPfum9d593w5n3X2mud\nrq5VtWvX3t9dv1x9hsPL84iLiqC8vBZvUy26YmO8cQMlgX2c13YyyPM5i8pCSBm/CltsF6pPraN4\n65OkTt+FqhlpKNrDuc8Go6Biie9GaKfpOLNaIqxr89dTtOZupKmOoPhxv7AfGmvw/3EM9aXFWBxO\nGrwBLJ5MGr0XoKkRmrwYdZh9W2ceuqMbALmjlqMM/gRrcg8AyjY/T9WZ9QQrL6L4G7Hkdabp2JEW\nA/w3X3Nx4jj+vHQSCUktAVnvv7WFxYt2YGjXCYuhGVXXaDhdgN/bTAAVNeDHnNMe75HDKE0NGMNC\nEJ8fY6ib2lMFmEKcjDizlj0T/kC7Vk4mPDMSf7OfF254jTJHLMHiizScaylhLoEgKJD9wHgubztM\nye5jBP1+jDYzzfVNWD0OnKkxuFxWpm548tr7e9YzmYhe7fHVNFB24CSDVzzH4ec+5K5t86+d82LU\nNDo9NZnzG3+h4PtfMDqtoKrcdvFrRISdc/7IkUWrkGAQg8MKgQAGg0rQH6TnpK6EJ4Xx/bcnyX5q\nOuHXdSDY7OfriL4YLSa0sJCWYjs1tUhTEx+fewXj1Qjnh7s9x/lTpZijI9Gcdjj4Gz01hW6qwiu+\nIE6gDHDcN4uo+2cTqK7mZN/rUVQVvbaaAy8OplWsCxGh/9Obib9Uy8YGHzVBod5sIVoLsCLJTQ+n\nieImP8NPlXOy0Y+iqvgDQYblRFHZrLAr/zKGhzdiSOqI79x+ql8ZjmaPxNVjOr7TP5LhP8quJ6/j\ncrWXjAfXEBoaypNPP8fJkyf5YNHb1Hs1JsUcZVVpLvNzXbQNMfHYgRJyho3l3JlTTLRd4aNfL3Hg\nUh3Dk0MoqmvmYGk9zYEgi/umcKrKy1uHL+ExadT6hZTkZIaPGsPj854mOjyUjXnh5IZYaAoE6bzr\nMi99/GeGDGkpI1tRUUFSTDQVuZHoV432vY9cpqLJT4imkmnSWF7dxNJvVzFs2DDeW7SIlZ98gtVu\nZ/pDD3HL+HH8pAVoq6kc8AcZENQ5VVj4P1qS+D1eTP8UEgTA6DFj2LBzF+u2b2fYsGEA/OGxx1iy\nZh2t5j7LS0uWMn7yZCqCfx3Hcn8Qs9H4L65TfOE8Xe0aQeC1s14aGgtp8pZQdOY99m7pgzsklLlP\nP4duDsMa2hJ5bHalYnUlcelKKZ2i3mVC21KyIx/li6YhqBjxBkoBMAZtXN75MkF/E9aYTtBYxtl3\n23F+2SjOfXYDatCIbo3C5Emj6ugKRIKICNXHvgIB1eRGS85Fc0bge3skb07JwLvuDpbN6YZFaaKp\n9gJ2NQyD0UxslIfB1yVTUdl47dlavrD+ZhOWIMHik9BUj/3p7ZA1ES1zAPbevTHGxWJMT+e159ZT\nXdXAyWMlLFuyDxQFJacbtUdPEUQh5t5p2JLjMbldRP15FdYRY7GlpDFq2Ai8l8rx1dZRd7YQi91G\n0NtMfUExpdsP0HVkRwB0o07XMZ2o2bqT6vzz9P32VSaWbeb6Va+h6SaOvvMt0X07EtsvF81iYsSq\n57nft5E7L61EE4WSw+eoL6sBoHBPPv7GZuyJ0fT84HGCzX4s4W5KjxdSXVQGwJXjhTTXe6k9d5kR\n3zzLfQ3r6PL4zQQam/jxjgXsenQxxz9eh2Y2MurXpdx8eQOdX51Nc1MAT2IYyR2S+GbBBkSBgw+/\nydYRs6kvuoRqNNC3T1+SwyKhppqhd/ZA8fnwNfkAqK9ppOhcOaGD+hJ+81jE5yckLY2DrhBe9QU5\nYlApNGos11XqFr6D99w5/FVVGGtrmdxYR1dVoefTm3nyy18Z9fJWaktqWRxtJ1JTCIyfgfWFD6lu\nCjDoRCmuPYXkHb3CwNxYvpjanlHZEUhQ+PrgJX48WkxTeCaGpJbxNyTnohitRNz8Ia5eMwm9dSVn\nGhxsPnKJZ746wsC2UaSGmLnvnll8/M474BeC+LFokQwN287rv4Zz0w9nOVLpZcXKlQwaMYo524vJ\ni3IQ7zSx4lQ5Vxp8iAjj0sOYkBGGVVfpH+fkijfAyfNFHDiezzPzX0BEqKlvoIO7RTIxaSo5TiPF\nxcXXpqzJZMIfDFIXaJnHIkKpL0h/m4HBdiM7m2HwsOEMHz4cRVG469572bxvH99t2UJYWBgpJhNt\nr6q2OuoqcUYDBQUF/zHS+X8B/1Hr9n9243d4Mf3v8PGHH0p6bIwkup0ybOAA+e233yQhMkJmxbll\nXrxLwixmuf2222TMsBsk3OWQNilJ8vjjj0ubcLe8mRMpDnc76T+uTgZO9EmrTu+K0Rwpt902Tex2\nj2gGp2SP3ird7m2SnPH7RNUtEmLJkVs7Bq81kxYqbbQpYlUiJcV8ozhJFYPRJpqmi67pMqtPutzR\nNV40RRezHiUGxS4aJnFk3iSKZhTNEiqGkFQxhaSLolnE0fdBUcx2cc5ZJZFR4eL7/s5rrW1WnOj9\nbhPdFiGRKWPE7bTKd4tGS1S4TWZM6ijzZvcSq9UoFk+sRE/4VMKHvSKa0SaPPPKIGCw2cb9bKCGf\nVIvzjZOiWm3imTRRbN27i7NVuhhsFrGGeyTmybmi2u2iWCyie0LE2q6NKGazREwZK4pBF0d8gtij\nY+T6ITeI1+uVS5cuyYoVK+T777+X6wcOEFtCtJjjIiSkdZIMfXCI/LnxA/mkarG06pEpM2fNlNgO\nreS25h3XWmxOprz++uuSmpkhutUkcf3zxBTikDbTBktMtzbSoUuePPr4XAmJCpPW13cUh8clVqdd\nWk++QeJ754rJaZPQnFRJGd1bzG6bxHfNEKPNLG+89YZExEZL2sgekjW5v5hC7BLVI1uMDptEt0uR\nfvOnSPKY66/149am7aLqmmQNbCchyZHS8e1HZUzDPhldu1si+3cVY6hLnGkJMn3GDKmurpZhNw0T\nd6RbojKixBXpFIPZIAazQUwJsZLw5BwxRISJu19v0ew20awWGawqIkbtWjMpijiHDxV7dJQ8bjOI\nRDtEoh0y22oQs4K8HG6V+sxQ8WWFSrzDLvb3vhPbo69IaphNzs7tLbtmdZVQm0FeH5ElMU6TTMiJ\nkgibURKsRrEaTYJmFPf8XyTsw2pxzd0o6CZJeL5Ykl+tk6QF1aKHJIpmcIjd7paMmFAJc2dJ17AQ\n+blnonzYIVosqiKhhnbSJ+Q9sepG+WFiW5G5vWTLpBwJcztl2bJlEuqwSZLLIt2i7PLl4HS5OztS\nQs269I5xyKgkt3zUK1F6R9tl2MD+EgwGr63ZvOzW8nybCAmOaiWH+6eIQ1fl9ttvl7TYaInxhMiM\n224Vu9EoiSZNXk50ydhQizh0VXIyMyTUZJRIk1GyU1Nk8+bNf8cHly5dEo/VIsccRhG3WQ47jBJi\nsUhZWdk/nHv+M8Hv8GL6Lyf+/+OO/oM3iM8++URCdU26GTVZHmaVWXajxIWGSn5+vky9+WZxGg0y\nOsotMWaD3Bpll+IusbIuO0LC7Da5964ZoiiKpLR5XAZO9MnAiT7pdWOBaLpNwiOSxGBwSGq310U3\nh4rFnSmawS6KahSzHiGT29fLrR2DMq5tsWiKWVTdKapilg7KnRJGazFrJukc75Gjj/aSn+/rLm6z\nUQzYZSRL5GlEctW7xWCJlMjsGWINyxF38lDJnVkjnqyJooUkim6KEHSTmIy6nF86SXzf3yllX98i\nbo9LrK/sEkO3sYLBIua0NjK0b4bsWj5FbhmZLU67Ue6f3k3enj9UevZsI3EJUXLrrbeKiMht0+8S\ne0auGLqOE2NcliSnZcijjz0m/QcNEnf7dtI2/6i0KzglCW+/IabUFDFEhEn8A3dJeHKk3PzgAMnq\nmCBmu1m2b98uJ06c+BcL/sSJExIZEylZeWnijnKJwWKUjEemSUirJAlLixZ7uEtiEmOloKBA7B63\njD31ldzWvEPGnFwh9hCXlJSUyOLFiyVrzPVyT+AnGXfwQ+nwyCSx2G3S2NgoIiLbt2+X/oMGSodu\nnWTKbbfIwoULZdmyZZKfny9Wh03sceFij48QW0SITLvjDhEROXbsmBhMRum24C6Zcu4Luav5B4nI\nSpbQhCi5ed3T4kqLlZvLNsptzTvkhi2LxO52SUh0mBhcdhl0eKWMadgnYxr2SfZzM0WzmsUW5pK0\ndsnSJqe1lJWVSXR8tHQZ21lyR3SUd0vekVvenizGuBjRPSHS4cBW6VJ8Qtrt3CiYTBIKctmgihg1\n+UFXxawoYguxSVZauHzqMl/bIDZ6LJLgckqHEKe8GG6VHhZdHNkdxbW9SFztOsqSiTkirw6RK09f\nLzajKi6zLhce7iXywkApfbyPhJp1cRlNQkiMYDCLFpogmskiafHhEtptqsQ+tEesrYaINSxHcsbt\nldYj1otqdIlRM8otiS55qXW41A/LlOmJHknTRkiSPkBSXFaRub2utawIh/Tr2UMe6RYvBlWR2hmd\nRGZ1FZnVVTpH2iXUpIv/9o4id+aKd1oHcRu1f+F+/vbbb0uYSRejqojLoMq4WIeEGTTZ3T5KznaK\nkR4uk6SaNBniMolHU2ROjEO6R7jFaTDIy26z/DnMKkmaKg6DQXbv3v13vLDk00/FY7VIXohbPFar\nfLFs2T+Ud/4r8Hs2iH8aFdO/xjsLXqbGH2BdpI3xNiNvh1pJaajh4MGDHD90gD/F2/kyzsqVJh/v\npnmINukM8Vi4MdRCaEQkqmqkpGApvuZKRISiMx9iMHgwu4dicWRx8chCojPvJCx5LKruxBXZDcVg\nZc2JzuwpfIC1J7uhqCZaD1mJ4GeosojeylP4AxqB0hvp88ZJxr5XRLMvDA0D7ZiMl2oOs4Sc8XtI\n6f022aO30Vh+lMbyI/gbrmBrdjOq0wUyIu8lEBA63v0Nk1/8kXYz1+LvNh41LotAfQVqRBLNZZV8\nv6+KHpM+58sN+VhsDopKaujbPYnZt2RTV13DAw88AMDihW8RZWxGbzqHacD1lHobCQ0LY8PatXRP\nSeFknwGcuXkqxc/OxzP6JiytsihZ/DHvrr6bOx4bwjvrZhEW6cTr9ZKZmXktoAtg1v0ziW8XSUVZ\nFV1v6khYrJvCd5fRWFKKtUNb7JlpTLv1dhITE5n/zHN832M620c8zMbr7uKl+S8QFRWF1+vFFNpS\n2jP/840UrN5JUFM4ePAgTU1N3HHPDGqyHKQ9M5pfAyUs/3oF48aNIzIyEpcnhOwp/Rny0UPEdm3F\n5bKWokc/bf0JzWri1LIfOPvNtpbke2EuunXoxPo7F6EHha+yxvHTkAfZPvYJVixbzgfvvEdYaCin\n31nW4gRQXkXBJ6uw2wxEJrgpOl2MOAO8vOAl4uLjyN+Rz/jnx2L32PHWNKHWVmOMjcYY1ZICxJyU\ngCkyAunZg1RfkDZBGBYIEp6cyMynh2KIcPFEvY8jvgCn/EHm1PtQHDaIieelyiaOegMEjx0kMOsm\nAscPc/RSHQDhdhNtIu04TBrxV9U1YTYj6W4zmgKqMxwMJrIibbwwNYedbwyhj/kXfEuG0nx2Fyl9\nFmELb4cr/no8ETkkOjXap4Xyiz9I/12FVDRDkt6fDO0mSuq9nK9uKehUWOOlsLKBi0UX+OFcBQqg\nqX+dC3aLGV1T+Mshg6pg1hQeuG/mNTVSU1MTk5NDqRyeSeXwTEKNGo/EOejiNJFsMfBOqgezqrAu\nI4x7I+1c8QU4Xt3AdIvKwy4zk2xGloZbcQf9/GnRor/jhclTp3Ls7DkWrlvP8XPnGDdhwj+Qdf7n\n4Z/CzfXfQlVFBQAG/jpBdRECgQAlly/TOcaIAjhUhXNePxqwoLCazTU+jEuXEgwqmIyRbFuVjKpZ\nCPobSQoZT6CiCl/jFbzeYtSmZspKVqMFBEUz0m70dg5/25sTpe9gMEeQ0f8zXNEtBuFjwW/I1saz\nM/AKjf4mJpvyWdrYF3E24K+ppTR4AgMWdIMToy0aAE23YLTFUrT9SepKdiOBIL+cvo+YkBvIv/gG\n5V6NlZdjWzKTJucR/PxJOLGXkNgBpHV/kYaqkxz9eQp9B17Pnz/5iDGjb6TbsI/weNx89PHn6LrO\nmTNnyM/Pp9QfxD7/dfSYOAJjp/LY6L7cP2sWq1es5LnnnuPlt94i/PZbab5QRM3OPRh1FbPNcLWf\nGsnpsVRVVfGvcer0KS5dusTbv84nJMqFt76JmW0e4/7l97Bo2gckx2bw5GOPA3DfzJkMGjCA/Px8\n0tPTcblcNDQ0MHToUOY9/yzlpwtRdY3+nz5G5fHzDBkxjMUL/0i96mfo6y0pwOP7tuPjxFsoKCjg\n2LFj2FOjuG7+bQDEXteG98LH8dVXX/HYc0/T//MnMDis/HT3axRvOUTzxUqWrtvG4cOHKS4uJiQk\nhKamJtq3b09cXBwAvXr1okO3LqyK6gP+AEarEW8AGovq0CPDObn/PJlRp3n7tbfpP6QfF08UE50Z\nTXNjM9ePyGbj10eo/eUgjrwOVP20Hd+VUoxjRkJMNKe/W8vCP77J6TOn2LFhPfn55VhmPESPpX9C\nAgF8qLiamogsKmBPpBUdmF7p5Ytf92PXVT7aW8SFqkZMmsqJy3X4UPn6t8uMyo5k8+lyjpU34hcF\nPXcEvjWv0rVbd77cvoFbB2awZE437nhjJ1/tvIKvvgSAoN9LVfEOTszqQqjVwOxOsXT48ADfXaqg\ntX6cEmUVd+dE0uXTg3SOdrCjqIYIp5mE5FQ2/VjIsAQXI9ee5IH20WwrruFgaT0Bf5A5u4sYlRzC\nx/llBIJC5OVztGuVyZuLFpObm8vb8xuYneQgzqKzqbQBQyBIUVOAJxJdnPX6cV21IXSyGXj/fCPJ\nGVkYLpz66zoHgsDFv7Fd/C0iIyOJjIz8N//3T4f/qOjxn934B6iY1qxZI0kREWI1GCTCYhETSKyq\nSHuDKl2NqthUVcrLy2X8iOEyI8YtvrwYeSnWIW5dEZemyLMJLlmSHiom3SatW78sI4b7ZdDAYklP\nf1I0zSnjOpTK1E5BSY+YIapqkYETfdJvXK2YzNGiamZJ7vSsZPX9TBTNIq7oXuKO7S/OqOtE1eyi\nKppYiRAFXXSsomAQl54usZkzJLPnB2LWIiRdGyWabpf4rvOl853lkjH4C1F1i1gcqZLR9R3RDW4x\n25JEUU2i6XZRNYtgtIkSGi9YnKLEtRJVM0n3ScXSZ1qz9JnWLNGZd8iUKVOkqanpmurnypUrktsx\nRxISIiQiwi2pqYmiG3VxR4WKNTpC7HfPEc1glJqammtju2HDBsnt0kkMRk3MVqPYnRYxmg0ydc5A\neeqDqRIW4ZHi4uK/eyfxKQnijnLJioY/XWvpnVPk8fVzZPiDQ+T5558XEZGmpiY5duyYFBUVydmz\nZyWtTSuxh3nEbLPKa2+8Ibt37xbdYpJbS76RewI/yT2Bn6TdXTfJ7NmzJaZNqjzk3yBzghvlAe9a\ncUWESkFBgaxbt05SeuTIQ4HvZU5wo9xXs0pMVotMmHKz9Hrn/mvXGbHpdfHERcnp06fljrvvEpPN\nKrYQl/S4vrdUVlbK6dOn5eTJkxIIBEREZNyksXLLaxNl5Nxhotkskvn8g9Jz3zeSPPtWMUaEyogR\nI0REZOnSpWKymaTv7X0ks0eG2Jxmuf3xIaJbzaI57KKaTaIbNDHarDJgyGA5dOiQiIhUVFRIVHSE\n6PGJEnOw8FrTIqMlxGSU99xmkTinSJxT2lt0CTWo8pLHLLFWg9gMqqSFmMVl0sTkdIvFoIlRU8Wi\nq2LUdFGiMkSxe8QalSJr166VBx+4T8wmo1gtJunXp6dEulzi0jUJDW0loekTxKgp4nuk5zUVUu/4\nEHEbIsRttIhRQcZlhIrHrEuszSi945xiMxuldXqa2HRVIsy6mDVFMpwmibEZpLXHKgu7x0uqwyhu\noyaZTqOU3ZgpMi5bPsiLkTCzQbq0z5EFL74gVpNR7LomXRwmWZ4RKndF2SXKoIpdRValeaS6Y7T0\n8thl2tSp8uuvv4oJpItRkxxdlRAQHSTSZhOTrktOSoocOHDgd/PLf1fw/1VM/z6OHz/OlFGj+KSs\nlJKAn5GNjZiBYQaV1y06mSjEREfjcrl495NPKUhri+3QZZ4p9ZLRPpdJEQ6ejHcxOcJGhsWExdzy\nxWgyReB2tUdTDZi0lkpnTlMazpAWLxBNM2OzRrIgL5SiwwsoOfgwChAReQOJyXfiq71IPF1xkkQA\nL3mWqbhJxIid1o7bKSv4DkdUV1rftJHL4S2eNoW7n2D/xwmc3nw7CipZ3d7l7IGnyOu3iU7Xb8Jg\ncBKbNJXkrD+gBRWcTaWY/HUYy85is5hoqiu8Ni5NdedYvmwpJosFT1QM69evZ+a9d9G2tZmf1k1j\n2/d3EuIKMGN6N/Zsu4c5d3bEtGIxoaFmJt08gaVLl3L+/HkqKiooLb1AUkYkt88dzNozz7N071y+\n+3gHL81chsFip6Sk5O/eS4g7jMY6L+sX/0iz18eebw9wpaCMyNRwDq0/QmZmJufOnSMzJ5tew4eQ\n0bYN3fr2wn1zP24qWsMNh/7M868vwOfz4XQ68Za1JHirPltM+ZGzOJ1OYlxhbLr1NU4s38L6sfPp\n3q0bCQkJ9OnTB0ONny13v8PxZVtYd9OzjB03liZv07XrAHjLqmmVlcWmzZtZf2AnNxV8x41FayhP\ncJGd15GOPbvTpX8fuvXpRXV1NRmpmax5ZwurXvseS3wMKbOmYs9IJvOZlpia2KvSxsSJE5l2y22c\n+OkEkWmR+DUDH76wAd1s5NXPJrPh1DMMmdCJztcl8cvenQQCAY4dO8aaNWuIjooiWFZK3dKPCJRd\nof7z99Eba3FHWnmxrpnxZQ380OjjaFOAcKuBrgYVry/AtyNbc+rOTly4qzMx0kA3g4buiqS5z200\nGy2YUjqhRqQSatG4/vrreenlV9m9Zy9r1q7n9PETTLYF2dw6jMmmYvwXNmDQDNyx/jRHrtTzx/3F\n7L9Uw5JBIXzQLw6TrlLf5Ofd3knc1iqMA5fqcLtDKCo4yyPZEVwa14Zzo1vT4A9S6fWzd0QGM9tE\ncHJcNpoC05M9hJpapNCuoVZCjSrZvlIuFhZSfPkKPhQ2tQ5nfLiNd1M9JDus5OR1ZmxBNeG/XiFr\n+Gje+/BDoqOjsZhMjNAU3rLqdNJVbMCzDQ2UBwM8fO4cg3v1oqam5h9HOP+v4D+6s/xnN36nBHH7\ntGkySUFEU0U0VXYpSLyqSNBjFgm1SMBjlmhdk/tnzhS/3y8iImfOnJE/PHC/dGrfXu6PdYn0SBDp\nkSAvJLrEbI6VntftkF49d4vFkihWY6KMzjkvN7TeK2Y9TKISb5Y+I4slu8tHYjFY5ZncaDFrivSL\nd0l8+t3XjNvdBu8XhyFFTLhlhnpYntJEHlebxUOGJFqGSc+whaKpFgFNVM0i7bstk4FjGiWny6di\nMIaK0xYiiTmPij2knQyc6JPErAclOesPMnicTwaP80n77l+IwxYigzrGit2sy8IHe4vdESaJ7R+T\nmNQbJTUxWla+PkJMTqeoT38lJrtTXE6zfLPsFjl3dK6cOzpX5s8bLKNHt5OT+U/Kb0cfE0VBuvdM\nlcTkUBlwQzvxhLpl6PAh8sALN4qmq7Kx8CXZWvqabC19TYbe3EVin5orSQtfl9DoaKmtrf0X7+Wh\nOXPEEh8tnnbpouqamB1msbqtYvPYxexyyJIlS6T79b0l57mZMqZhn4wo/lFQFIm4rr2oBl1sCVES\n2SdXQsLC5ME5D0p4arykT+ovJpdNErpniTvSI8/Of07mPPKwDB19ozz19Dzxer3X7l9eXi73PXi/\nDB87Ul5a8LJMumWyhMZFiMFukY6P3ixdX5wurohQefzxx4Y5/EAAACAASURBVMXicUnShIFiCnWJ\najRIVL/OYg73yKjqXTK6bo+kT71R7rznbnlgzhwJ69tVumz4WMxxUTKobJ8MqT4kA4p2iGYxy+rV\nq6/d3+fzyaSbJ4lqtUjGN8ulw9mjEv3ATEnpkCxbS1+T9zffL6mto2XkrT1k4sSJEhbuln6D24rV\nZRVDepbo2R1EcbpFC/GIy2WWGJMuS6wGedeiixXEoCryRr8UiTKooilI8A/XiTzcU+ThnnJrVrj8\nKdImNzjMgqZLVIhZQiwGcRp1MWma6JouVotJzJoibpMm8UZNgt3jRXokSLB7vMRbXRKVMEGcJrtY\nNE2sui7v9km6ZnT2mDSZmOaRLLdZbk73iMekSbzNIEZVkYoJ2SK3tBe5pb080CpcNJDXusTIrNbh\nsvi6BImzGSTJZpDi4ZmytU+S5IVYpJXLJN8OSJEhfXpKXV2dmA26NHaLv7Yu+4Y7ZUDv3vL0k09K\nRUWFiLRItpkpKdLPqImEWkRCLdLgMYsG4lWVa3yQCfLhhx/+Lo757wr+vwTx7+PXPXs4JVyLprwA\n+ET4SwxmAJBAgO0ff8SD997D5cuX6dO1K74lHzDw/AneL6lhUUkt6ysbWVkP/fu242T+JHbtHkJi\n3DQiI4ey5ngnNp7oS5O/HJp3sG1VMif2zybMqPHpiXJSXRZ6RzvQ1X897EF81BFBS5UsTTEQobTh\ngncjOyvnYrbEYzC4MVti8UT04fDOiZw89DBIkLYxGhWnF9JYe5raqt8I+OswmaOuXdlkjqaxOciu\nE1XomkK7VA9zJ6URKHmHe4eWs+WDEfTrmojdagBPNASayGkTxaYf8hER/P4g6zeeIO5qHeidO85i\nMGg0ev2s3HwfC94dy9OvDmfvnj2cPX6Z6AQP+7e16HubGn0c2n0OU2ICnpuGoXhCOHHixL948hdf\neIFImwPVE0rS7NsIBIJ0Ht2ZQTMHYPNYWPyn9zl65DfiJw0FwOh2YHBYCe+Vy03n12FPiKRs52Fq\naqtZ/MH7PPPQXC58u527dr/C9B0LmH7gNRa89gpHjh5h4+p1LFiwgBcXvISI0NzczIOPzOHdPy5i\n45r1bN+xnY1bNzPsw3u4e+8reE+d5fhrK3npmed5ZeGbeLpmU/LjPvptXszokk2YwtwoRh3VoKOo\nKlHjB3LotyMs++YrkmZOIaRLO+yt09g7YgZn3/6U3YNupVevXtficKClDsnAAQOJGjQAe15HFIOB\nqAdmcf5oId6GZvb/lE90fAgFJ6/w9Tdf8f7yW3j1vfHEpsVgmf007o/WELr5KJbZ89Ab/SzWFSYb\nNe4y6Txn1rEYVJ7ZXUyn1AisBo2PjrQY4S/UeNl0vpJ2Jp0EDVxmhbp6Hw/lRPJ+nyQSHQbauA2Y\n/D4yHCZ+uLEVoir4r4bJNAs0+JuprT6KP9BA+1ArA2JtPLGriIOl9QAoCuy5Us/+0a35vF8q229q\nxRWvnwizxuaSFoN5UyDIppJaTJrCqrNVJJt0PjpeSnNAuOITktacZPSOC6SbNWq9fmbuKCS7fUds\nNhs3DR3K+II6NlU18uSFavZX1DHg6D5OLHqTwb178f7ixUwYegOeC+cIBP8a3+O9+rPyKhfUiFAG\n7N29+/+cUP5J8E9jpE5KSOCXo0fpHhS6KMIXApHATbXNTDBprGgK0FFT+UT1k/TxJ8SlpjFAvLzh\nMQEmMk06D5U0kJOTw/jJNzFk2HC2b9/OvCdXkpXeYkRt2+Z11nzvwIhQXlZKbrtPCfP05kzBGwRK\n3+dERRWXGlwUnvkIgzURiy2J0wefIFsdT77yNVuCT9FHfZpi9nOWH3C78wiL6Edmq3nU1eazfWtX\nDu4YS4i9Pe177KWicg+/Hp/G5j904ZEVv/Hzxh7oRg+X/StwuHMwGNwcP3A/KgZqGmrQNRvzPtpL\nj+woqmsbWfLdUXYdKmbi0FbU1TcjQT9GXeGN525g4vQv+HHbaSqrGqmra+b0uXL27j3PyZOXiYxy\n0jonBl1vqeiV0zGehnovB7ZewBlm47kZn5OYEcmlwgq0jp2IGHA9/soqKgvO/0UaRETYtm0bpaWl\nfL9qNatXr+bp55/DEWrn5M8nUDUVi9XIb0d/JTUzi5K120i5YxTeKxUEGpto++SdHJ77FuGRVh6s\n+ZxAs5/FA55h9ZrVWDwOwrNa1DjOmFAUi4HTgTLuq1hBU1Udfxr0FOmpafx2/Bi7Co8y68oySn45\nxcobnyG0bQrfzf4I8fmwhruob2zkvfffI2FkH4xhbtzts3C1Sml57mfuZkOXKUgwCIrClTU/k5ea\nyoFffkH9agPO9q3IXfoGe4dPx/vZat5+7HFyc3P54osvSE1NJS8vD2hJ31J+8DCRPh+KwYD31BmC\nonDv0IVcLqokJj4Uo+rCbreQnBYOQGioleJz+dC5JwCB08cJ+AOohr8uaRXITA5lnzecNd0mQJcg\n9337Jo9sPUd9c4AHXGYu+AJ8Vt1EIwp3tArl8bxYANp4LAxefYJkhwlLk5/NF6roEGFj0LErjA+z\nsqy0AYI+grWnuCk5jD/3jUNRFP50opSpG09zQ3IIjeh0cJqwGlrmSasQCwZVoWeYjZl7ivhTfhln\napup9gVw6Cqb+iZj1FRmpHmI+uY4IeGRVF25xOHuCcSYdap8AZK2nWfClKkAfLL8C5594gnmb/mR\nAycPsSPOQVuTjojQvbiIOQ8+gFWEdTYD3et83F3XTDeDyuuNfjoDvQUGBYKsBmIViImN/b/CPf+T\n8U+zQcx5+mkGb9nCZa+XNIFPFfhJYGFQ4YQ3yFRd5Q8mjSqBYMBPQ309HoIsrGzkhYpGGgU0g4En\nX36FG4eP4aX5H1DXdBm/38exk08RFzOe02ffwKJ7qPddJszegdjoMQC0ypjPmoI/IoqJVVc6kp6Y\nR8Hxt1GkHgLN7PcvREHlfNQXvHDlJTQxkdX6Jc4XfkBU9HAA7I4M3CGdKS/bSq9OP6IoKrHRoygs\n+ohhb+6i0deMLaILDRVHUAwWDu4Yg6458ftr6Jb5GdEhgzhd8h7bDs5l3+laxvbP5PZhWazdUcCd\n876H9C5Y35yOBOFsQQXrlt/C1h3nmPP0Rnz+IPNfGI4ItG4dxeSbP2XN14eZeGs3ouPcfPLudlRN\nsLuMnDtxiQH9B+J2h/D5sS9RDx0l+OCj1O7ag7lVK+576CGGDhzIt2vXcLa8HFtaCtV79/PNF1+Q\nmZGGMVnnrk9moCgKH8/8lF3Ld/HM3Ce44567KPn4O2oKi1FUlbozhVTu+42Rz41BNxrQjQauu3cI\n397/MYGgcGrjQdIHduDiL6dorvfS89kpGG1mjDYz2fcM4YetWzhy7Ch5z40GRWHNtNexRIRg9DgJ\nBII40xPIvH04F1Zv59gHq3EbmkkYO4BL2w8j0lLHofroGQy6zuasmzA5bISZbQx56A8sW7acip/3\n81P2DdjiImi6UsHY8ZPwNjfTvX8/3J1zqd5/iB4dc+l93XUsfP99VLeb40NuwtKmNTWbf8RgNHJ9\n92EcO36UgwcPkJCs09DQyOqVBxk+pgMjhmay5+EXCJ74Fd3fhPbLNnoPb8O01UdZKFAnwnxgZF4C\nh77NR92+kmaLi4a6Ohp0C652/Vh0bg+K30SDIYhmcqArf/3K1lWFOl+QdLtGBnChpom3eyeR9flh\nbCjc6DKzLs1D3JErdI0wXXNd7hRuo7DuIo1dbmTda+MZNewG9l6uo1OEjT/+dgW7rrKhpJZHWodT\n4wtyqLyRCJsRvz+A8ar3kUVTcOgqkfXlBDWVmKslRN0GjSSrkZqaGi5evEgwGOShuXM5dSofOXCA\nHheqCddU3oyw4dEM1Hu96IBNUfjZbuRFr5859T6qBT4ATAp8JFADeJ0upt1++38SG/3PwT9NLiaA\nQ4cO8fLzz7N90yZqmpro3KEDyZmZLPv0U2aZNNprKs97/VSqGlMefJB33n4Lj6+ZtRF2QjWFiRVe\ndvmM9IpbRrxzKLVN51h1Ko9goAlVN2PVQtGDJTj0Ri4TR//eJ1BVA43eYjZtSUdRjGRnPE9Tcykh\nrs78evRmTk5Mw21UiVpyhPMXS3C5XKSn5xAd9TbnL3yM0RRK67avEQx62bfjeioqD9K/zymslnhE\ngvy0owtxIcM5VbwIDCba3rgRX2MZBbsexyGR+Jur6Juz8doYfLUrHIvVz/mVE2hsDuCwGrhuxrcM\nGDGZ/v37o6oqEyeOw241cKWshrvvugeH087y5R8xfkIO238+y+7d5wgJdXC5pBJVVTEYdYZPymP3\nlnyavD5qKr0EVQOux5/E++sRApUV1G3fhqNXL7z7fyFkxHCqt27DkpZM+ntvULNtJ9VznyMuOoxu\ns7vQaWQnAA5v+JX3Zn5OSkwSC195leGjR2FNiqXqdAFoKuZwF7mj8xjy7EREhC9u/yNH1x6gsaIO\nzaBhdFpoqm7AkRhJ1wdH0mFGi5pq7a2v0c2ayq9Hj3DeV0H9lSps8dF0eXEG51Zv59iib5l0aQ3q\n1ZrHX2ffjHgbMcVEUHv+ErbEGJyp8RR+uwWLy4nJ48ZY38QP69bTped1pHywgJDrOtFwrpCDAybQ\nbWQHkiWF5V+tJGPDVxgiwjl24yRUpwtbm9aULv8S1+iR1G7+EXP7jhiiY9DcLqyrV1FbXozZouMK\nsZKZE8vmbw/j9wURBJfLRnVVPe3bx9KjRwrLv/iVEcNG89Wnn9Dsa0axm1EUjbfeXsT9M2Zga26i\nXIRgSBwhLxy7NidKH22FJbEL2tFvebZrHCkuM0/tLORktReDpoCAril4A0G8fqEuNwazqrC7rpkh\n+WVE2YxsGppBqFln/A9n+bG4geT0ZHbu+YUtP/7IbVOnUN/QgEkFt0GlOSi4jRpXGv3U+gJERUZS\nV17KnFbh3Bjn5JOzlawqrOZA9wQSfzrH65lhTIlxsL6sgQlHSomOiaG8vBRNUdA0DYeviV4KLHCb\nOeILMrK0Ht3uwGWz0lhyiba6yh1GjVW+AN/6gsyJtvFdZRP5TX4UgQnTpvH4vHkkJCT8Ln7574rf\nk4vpd20QiqKEAF8AiUABME5Eqv+N8wYDb9Ii9X4oIi9fPT4PuBP4SxGGx0Rkw//mXr97g/jXaG5u\nxmmzscvv5z2gFDgMjFLg9PX9wGig7+6tzLpaAWttQzM3lkKrsLs5U/U5qmLApIaRZh/DgYoXCEoj\nNg3W5sUwYH81dmsOntAelBR/jdXvoipwmni1J7HBDhxUl+BXyzk6MZU4m5Hwz45wquAC4eHhfPnl\nl9x55/1EhE+lsGgJQWlCgj7spkRqG85gNIURH3szlVV7UAJCn+z1nLn0Ab8Vv0zAX4fVkUp97WnE\n14hRdzOs8yl0zUZDUxFr9qajGwSTDoGgkBztpKKmmSvVTUTEJvDZB4v5btXXfLdqBd3y4tmxt5Dp\nd80iMTGZJUs+ZtfuXcx5bCCjx+dSU93IreM/o6ysBovdyLw/TsBiNTLv7mUUXagiaHdg6z+Y5vwT\n+IoKCVRV0nrnNgxhoQSbmsgfNJS0dxZgbZ3FgYxcnCEOUrolM2vZvSiKwqKpiynw2qjZuo/4pCSs\n908iZuwQ/PWN7LtuIgPzurLxx02EtYoh0OSn9HQJcb1bM2bpw1QXlfHpgCeoKSxDAN2gkzyoI821\njZQdL0TqmlCNBjo8fSsSCLJ33ocEmppBFBRdZVLJGnSzCQkGWZk5nkB5DWEpkdSV1WJRjbTNzuGQ\nt5IOX7+DommcfvYdkk9eZvf+X8g9sunaHDs69g58+aeIcEdwqbaBzF0bubJ0JWVrNpL88QcoikL9\ngYOcvfV2FKMZU9t2aGFh1G/6Hqmvo8t1Kcx+djhF58qY/8AKairr6X19Gx5+cgCPzl3PbwcvoBnN\nDOnTgzvvvIvly5awf9/PmLQgx05eBkXFrCr0lgD1AlGqwmpfEO2uZZjbD6Xp5Daq/3QrnuEvYV4x\ng05WnQbgotdPlabwba8kTKrC6O0XKKhvxq0p5FkNFPqD1AQEhyJMCLMx/2ItfhGMmsrA3AQUDbqN\nvJc5c+YgIjz04IMse/cdns8Kpdjr553z1TQGggSCQvRV9VFbp5kSrx+bppDnNPNe20heP1vBs2eq\nqPX5sWkqM9wmyoPCTn+Q5f1T6Lcmn1p/kKo4F9arEXbTKhqJuW8OKz76kAEll9gDxALpQD/gIaPG\n0XZR+EWwHrxMXUMDxn+Vc62kpISVK1dSX19Pnz596NSpE9rVD4b/afivLDn6KLBZRBYoivIIMPfq\nsb/tnAq8Q8u7KQb2KYqySkT+Yq18XURe/539+A/B5/OhAG2BxVePjQTOqCph0dGEx8RwYvfP184/\n72vRNZc27GZEyi58wTo2FAwhSACFZhJjoqmqDTJ8fxXZFuFkzVl0bzLJSm+OBT4ngjZMDq5GQaFd\n8BYWBVuTX9nIw3su0fO66wgLa6llMG7cOKKiopg37xlKLlzBZGxLSuR0qusP47F1prD8ay4WLScy\npB+5rRaiqgaafGX4vRV0u+EXrI40air2s3tjLxRnBOv35xDu6kVJ1UYMse0wlB9i21s30ioxhLdW\n/spzSw8T8vo5Gs7uY8ANw7Abhd3rpuN2mrlSVk+3Yc/hCygoZitqAPoPagWA02Xhuj4pfLn0F2bc\nN4i2eS31Ex6YP4K5t3+Oe/EnmFpnI4EARaNuQOpq0ENbsmKqJhOG6Ch81TVc+dMntM3L5de9+2hu\nbOaBjDmoqoIoClpeZ8wOB2dOnKRnp5Yyk7rNQuignuQm5fDee++xdetWdF1n+sy76ff8VHSTgdDU\naDrffQM73viO0ceW8V2X27GlJZHQLpUuOWmsGTKHzi9MJ3PyIAAUTeXC5gN0XzSHb3NvY+MND5J+\n2zCKN+7BZDeSndmV+++ehcVioU+fPtwy/U7C8/JQrpKGLSeTQ198T31VNdX7DuHq1B5vUQlle38j\np28GZb+VojUHqFi3EX9VNabk5GtqGVNKMsH6Bmw9ryfylbcAsHTpTtkzTzD39TGERzlJTAtn4Mj2\nrFm2n36D0rnrrq+4mDsGZt+Jb88m1rz/FKvXbiAoCn26xlP020VO9k0mRFdo/cM5zMBMo8Y6fxCz\nAhUfTqXOYMPmq8PlCKdu/zIaRWVdbRNmRUVR4e2O0eT+pQ50x2im7CrELcKR5gBfdEsgiDB2xwXK\nfAF2twnnSH0z0wuq2bL/PBaLAYnYDnPmUFFRwdd/XsLKvGh6eFrSwFc2B1l8vpLz/VIINxtYUVzL\n4ydKyR+Qxi37LxJq0ChvDrCkuJaZc+bw+quvcSLFScxVe8aA81V8ebaSAODRVU74AnS8an84oxro\n16oV4eERlJRcYhDw/NU1nA+U+AIsvFzLab9Cry6d/25zKCgooEduLn39jSgBP8895ic6JppNP28n\nOTn5dzDO/zz8Xi+mG4FPr/7+FLjp3zinM3BKRM6LiA9Yzl+qzrTgP7Sz/SNgs9no2707dxiN/Aa8\nB/wI7HK6eGL+fGY/9BAbLE4m1Aa5t9bPUz4Vk8FGXuR8HMYkPOZsOkbM40ztl3g0C5dKfTQ3GTGZ\nczkfzKZRreFs8yqqlZU4dT8xagrK1cd1kYAQZP4lO4mDx/LFN6v+RQqKXr16cfnCGe7MicCgmTl5\n8XVCDFnoQZWgNNEmcR5FZV9z6uJCjhQ8xfHCBVgcKVgdaUgwQNnFjZhUB8HK8wSDhdR5vyIYKCNQ\nU0K/3FhaJ3lQFIXZY3JobPShaAZMbfqhJ+USHRuG29mSgiEizEZIiB113iqCcVkYPKGs+e43AGpq\nGtn642latWrNpaK/pkS/UlyNBIMY0zMBUDQNW+tsPC43ZYsW46+spOKbVdQfOMT5GQ9gWruZb5d/\nQVxiLH3v6MNj3z/CzD/fi8/ro3LrLqqrq8Bo4Kd2I9jeZzI1v56g/Puf2bR1C1GxMUyZdhtHjh4l\nNi6W4l9aPKhEhAvbj5E6ZQgGuxXNZCRlZC/i+nZk7ZA5mEIc6Oa/EoNuNqIaNSzhIVz3/qPU5F+g\nYvMOYtPDyRqUS1J8Ims3fs+No0biiYyg/Eop5V9tomL3IX7MHsrBWx6hvLoaxWHj8KRZ7BswiT09\nRhKdHkFaXiqt27Rh/apVVM17mStvvkv5Fyuo3b0Hf3k5Zc+/SHxKCqbW2df6Y0zPRAVKL/1VIC++\nUEluxzw+fn8XhRcqkcmPorjD4MBWyB2M/t5RlIRW7D5wmdnxLpKsBir9gl+EZWadgbrKGyYNFzCq\nezzxagNf5UaxJE3Feu4n8tw6KzrHMi7eQUCEgnr/tXufq2+mq1kn3WLgzQ7RdAuzkmA1oCsKqyq8\n9D9exl0F1cRaNL7rkcCCrDC+X/0dTz31FO2yMvHWVGH5G+89q66QYjMSfjXV+ehoO2fqfdy0u5Cv\nimt5+WwFUT+cIaX3AOY98ywBCeL8m7QcTlXhj8dKCTHpOC1GBpXWM7uikd6lDfhT0hgzZgwL3n2X\nH81m3gFWAYeAaQp0d5p4+0oDm0whLF/13d/xwovznuJ2aeTzEBNLwmzMd5twl17mljGj/11O+X8N\nv1eCiBCRywAicklRlIh/45xYoPBv/i6iZdP4C2YqijIF+AV46N9SUf3fxPLVq7l/+nRGbd2K2Wxm\n9pQpzJo1i/DwFm+RfUd+Y/ny5Xi9XnYOG8ZtU++mpug00bZeAFQ1HafOXwQI4fZc3JbW5CW8CsAv\nhQ8RlXUMs1Vjy6bvyWcDJ1hFNLls4QlaZeRQeKWBY0u+oqCwjJunjEPXdRITE8nOzkZRFHKj7Cw8\ncJARrQ7hMmcAUNd8gf2nbifK6SDY9DKnS+sxah4a685SX3OC4tOf0XB+O0M9X1HjP8vWqll4DJ1o\nVH7B76vi0GkFb7Mfs1HnQH4ZutkC/6u9+46PoljgAP6bLdf7Jbn03kmAUEOv0juIdGmC0lRUwGcX\nK1gfTbAhoihPigoWsPBAUKpIRzrSE3pCkrvc/d4fiXnwCApK87nfz2c/udub2Z2d3dzc7MzOqAaw\n2IfAmWP45UwuFi3Ziab1EzD3s604daYQ3L8FSqeRODfvBbwybT3eems1zuScgqQ34M7B3TFu3LPI\nP+uF0azDgvfWIS4pHUdeHQ/rsJHwbtsM33f/xr8+mIWHnhqLdVOmwV9QCEkS6NLlVrw9bSqEEHj6\nyWdw97C7oVgVnDl5Ds7WzZDYrwc2dOiLih9Mhq1KJva9/Dp+aDkQWZUqYasvD/U3fQrfqbMYf9tI\n3N/vDoy77wXs+3w9zh4+iYMbdqFGr5JG/sQ+LfH17U8jsmk1hDeojLiO9bHivokQigwW+/H9mNdQ\nf3rJvBGnt+yBKCaUQj9ObdiP4z/tR1bHzpj74w+ov/FT+M8VYP1tIxFmsGB1+7uQOuEpBLdrhpxP\nFmH7A2ORtfhf8B45huK8fOy48wGseOt7zHhrBqpVq4btGzei/W23Yfm332JPr75QdDq0bNMaPcaO\nxR2jRsPboBHkoGCcm/gy6tbKxkMDZqF972o4sPsEDu8+h2Ytb8HyuYcR8J2CfOIY4PaAG1ZAeXoR\niue+DCU6E8hsgjXr3gQAyAIoZkk37l9vkBRD4Mvv9+O9yh40CTYDAJ5PC8KSEwWINOqw6VQhECDG\nbz6G3Xk+OHUCU3cex6JIG149VYijhSUFx4i1h9DfYcDj4VZ4A0TjHcfRMMKGekFm2E4VQicEpo97\nBm2CzYhzOjDgpyMYlx6MQ4XFmLT/NMyKhNyiYgTpFcw5nAezTsHp1GpYNOdpVKhQAY+NHo0lixeh\ndYP6aNawIXr8uAoP2RWsLfBheWExFrRJRdOPt+IfjzyKNT+swHYCPTt1Rt++faHX61G7dm2s3rgR\nr7zyCobPnImis2cwINSCJ2MdOOT1I2PzEbjd7ou+E04cO4aG8n8Lo1RVhk0U4/sNG7Bq1SrUqFHj\nojj/r363gBBCLEZJj9CyVSiZNODhcoJfaSPBZABPkqQQ4ikALwG4ZFeCxx9/vOx1w4YN0bBhwyvc\n3cVsNhve+uCDS37ucrkwZMiQsvevTHgO9eo0QW7BGnj9Z3Ao7ytk2u/G+pPjkFe0GwlBfcvCeiwN\nEAhsx8KFCzH3o4/Qt09vLPTejkK/D8lJyfjl4EHUCf0Q1tB4rPjqLnz+SS8E63wIKCoyqtfA4GEj\n8ORzYyGEHwYlqGy7RiUYihzAueICxEVmQOTsRCPXazhatBrff1EDUkBGD896OJQEQN8Aud6fYIEH\nlcyPY97pljghC1ToOxsV4kPw3cZDKAqoyHtvJLw7f0DgzDEUCjOGPfsDCu77BKbwGPjr9AKO/YLA\nmePAyWMorHYLCv89H7hjHBAei0lvPYw1q9dh+vTpKPIW4dtvXobH40Gnnj2xsmYmHMHBeHvKZBiN\nRlTJyMSOgiI4Jk4DBPDZ8Dvx2JNPYvr77yM3Px+BYgJH8hA7dhTCe9+KI+/NgaNONThqljyZHvvA\nXTjwzzdx6vRpxI4dDX2QE/ogJ8Lv7IptW3fhp7U/4uuvv4bZbIbRaETPfrcjZ/Fa5O85BGMRsX3G\n54jv3BAJnRoAgQA2TpiD4xt2waTose/tz/HLe1/h2Lfr8NWCz7Fjxw4IIdD67dZo1Loloh8dCH2w\nE4ATEcN6wPXxCrgS4hDSoQUAIKRDC+x+dgJ8x0/AViML+8dNQiBAHCvyo3mXLqicno7omBhssTkQ\nt24zinNzcKJ/L9SuUhWJiYl4fOS9ePz221BUUID2nTrhnWnT8P333+OLLz5HbJYL0ycNRHhkFALT\n1wNfzoT//nYQtVsCxT4E9vwEHtoFpVFfKCm18NFnryJ35QG4VQl+Em0LizFAkTCvmDhhdENIxGnf\nf2diO+nzwxcgWi7fh+csOjTwWDD+bBHe3XscelkgSJUx5Gg+JnvMaLvhKA4WFGPViQI8GV/yfIxO\nErjVacTyPC8AYMi6Qxgf58CMo/nIsOgwNNoOoyzw0bdfTQAAIABJREFU0NYc7Dznw+y76+C7bTlI\n/WonglQJh4v8uLNRPKavWguv14umdevg581boIKIPPQLvpf1qJFdEx2/W4asYCMWd0xHptsEt82C\n/gMGYMDAgXhw5D147/XXsH3jRox9/nkYDAasXLkSISEhaNuzJ/I+/RDPRJcUiBZJoNjvL/d/vln7\nDnh62VLU0PmhCoEnTxciSZGwtTiATk0aY8zYpzDsnnuu4Fvm+lqyZAmWLFlydTb2R5+wK20w3grA\nU/o6FMDWcsJkA/jivPdjAIwuJ1wMgA2/sa8/8hDhNfHVV19RQKZViaNJCqVR9lAVNqrCRlkYWDvm\nLfaokkePpQH79xtUFi8nJ4fLli3jli1b+OCDD7KSZxT7Vwqwf6UAu6bto0k2MdAmmb7WyWwT5eJz\nzzzNmTNmMDYinhH2pmybuob1Yt6hSTXTY7Nw3rx5HDpkBLNdz3JIfIB3xJ5lmL4BVWFh95D1HBFJ\njogk000DWN/yAu8OLiIgUbFGUR+SyaBa9zKy0zuM7vkJIWQak5pSn1Cfki2Yuk6jaZ2RQ+sb+ylF\npVMkViGcYZS7jCKEIF75iliYQ0z6N8Pik3j8+HHWb9aCkqLQZHdw6rTXSZKBQIA5OTlMyqxIR1oG\n1eAQhk6cysRte5i4bQ/DJk+jPSKSju7dmbZzJ9O2baO5Xj0qJiOD69ei6nLQGB/DBod+ZKPcTayx\n4mMaLGbWadKIlSY/xrZn17Ht2XVMuKMrR40Zc9G52rJlCydMmMAZM2YwPz+fdRvVp2o1sfYLQ9l6\nwTgGVU7i8HvvZm5uLt944w1OnTq13DGjbmnbhpkvji7bX9LwPuzTrx/NLifrbF/GRrmbWGf7MsoW\nE/WRYQzJrkbFbqOrf3+m7dzJ1C1baKpWjSa3m9Ffflt2/K577qfBE0ZrdBybtG5Dr9dblm8jR42m\nzmiiotOzd/+BPHPmDGVVR8w/UJL3d79CGC2UO44krG4iJoNK9Xa0vptLQ9dHaFdldgoxs2WQiSZZ\noU1SGJzRldFdP2JI47G0KBJfSA/m2JQgmiTBeJPC5kalbBwnf4SVZgG+kR7MFLPKRJNKnRC0G43M\nysygU5U5ymNmICuUuyoEM0aVaJDAcRkhdCoS99WIYFunnmE6ifMrh/JA/Rg2dRtpU2U2rxjOneNa\n8J2B1WnRy1z1j4bk6534Rp8qrFYpk3GS4HaXkXvcRmarEmuY9Hz22WcZZLNwead0cmhNPl8rki67\nlRMnTmR8RDgfqRjGbxrH8bbEELa5pQlvbdeGtUJd7Bpmo8ug0qIqfDXexSUZIbzF4+Tg0uHs/1cg\nEOATjzxMq6rQKMBoWTBYgN8Hm7g31EKLXs+8vLyr8VVyXeBGzQcB4Plfv+wBjAbwXDlhZAA7SwsA\nHUpuBaaVfhZ6Xrh7Abz/G/u6Nrn3B5n0Tiabe3JIdDHvivYyztie1RwP87bIDVSEmQoUpqomPv74\n42VxXhj/EnWqkXrVSp1sYaS1aVkB0SphCcMNdrJtCtk2ha9X9LBvt64kycLCQg4fdi/DQuLptHpY\nKS2FH5SOU//A/aOZ5RrJO+N8jDA0YqLxVqaZ+tEiR7GxYxqzLPfRLIXyDtdB1jI9QYMunLI5nJLO\nSltUYxqcKbQmtiQklcb4BjREVmbr1q0ZEZ9Ea2QCdRYHJYuDct/naXj9Z6pDJhEGM2FxEJ2G0phS\niXffdz+bt+9IfbPbKN0+hqJtPxqcwVy6dClJsvfAO2jvNoAhq36hsX03OgcNKfuCDBo6gqrDwZhZ\ns5i+axfTd+1i+PjxdEdHc+7cuWzVrh1lk5GmxFhGdOtAqyeEb0+fztWrV9MW5GZi306MbX8LIxPi\neOzYsd89b/n5+ezV93YGR4czLCGGDz3ycNnQKr9lw4YNdIQEM6F3B8Z1as6wmCgeOnSIox9+iI7Y\naIZ1bUs12E3FZOTAwYP5+eefU3E4GDd/ftlxhT75JA0uNz0v/pOJ2/YwYetumho1peXexxjy/R7a\nazfghAkTSJITJ02mISqBUvsBlPs+SFNWHY55+FE2at6SujqtiCbdCL2ZUPXUP7WI+lfXUqrVkVZZ\nolWWaTZZGJ2QxHBPKBVHJC2ZXam6EmkIqUizpzotYdkUsol6WaHDkUpZdVEnwFRVYnGElYy08UiY\nhQYBnmsaz9XZkQzVyXQa4zlz5kz6/X4+/OAY2hSZIYqgSQJbWHVM1ctUBWgUYBeXgXZZ0CIL6gVo\nkQTTTArD9ArTjHpaZIk2k4G9a0YxMK0j+XonzhxQjQkhQZxp05MhZjLEzC/sekYrMqdPn87PPvuM\nbruNelWhWZV5W6qHKW4Lq7pNZPdMsnsmvbdl0GbQMdZh5cupQYwzKnw2yc2mLiM9FhNrZVbgI2NG\nlxXGlxIIBPjiiy+yis3Co2GWsoIzzGzi/v37f/eauVncyALCBeArANsBLALgKF0fBmDBeeFalIbZ\nAWDMeetnANhQWmjM/7U2col9XbMM/COiw1LYNuQLDoshh8WQLYL+xThTBw6JDzDaUJfvW3VsZzFy\n4sSJJEvGhDEpwewdtYd3xflZ2XYf9cJOg+SmXZdMVZjZKqSkBlHYKonNI90c//xzv5uOvXv30u0I\nZaqtNy1yFIdFFHNEJNnCNYsGKYgSdBRQKAsDdZKDgEJJ0tOV2JVp7RaySp9dtHhqUDa5KXQWxiam\n8fTp0/R6vdyyZQv379/PEfc9QKMjiLqIRMJko+XBz2h99FvCZKdsMFNntlHoDYTVSTTrSdx6N2G2\nsV+/fiTJag0a0jHhPXpWH2DQglWU3ME016nH4Fua0x4SQslsprN375IaxPbttDRpwuTMzLJj9Hq9\nnDt3LidPnsy1a9eWrd+9ezcnTJjAadOm8eTJk1f1/JZn3759nDRpEqdOnXrBLGNLlizhlClT+PXX\nX18wGZI5OJjuwYNLjmvrVpqysykpCs0uF0Patqe+QgaV5DSGLNtBz+oDtNzzKO8cNpwkmV6lGuEK\nJXqOJrJbEu4w6t0hNNicFKqewhFK2wubaOw/kdCbqAuNoU0S/DLCyi0xdjZ2Wjhy6FDu2LGDVoeb\nkA2U9U6GpPdj5V5bmdb2U5qDq1IIhUIotFor0aaaGKxIbGKQOdamZ4Ii8ZE4J9k8ketqRdEmS4yK\niGdeXh6Lioo4d+5cDh8+nOEOO+8JKok7xG3i7U4DTQI0CLBfqIX+hrE8Uy+GVa06WiUwN97BH6Js\ntAuwtk5luCTYINbJf91ZgxFBdrZq3JgPm3VlBcSrFpXBBj1Pnz5NsuSLu1pGGoeWzkKX4TIy3aZn\noFsG2T2TebdWoFmnsk5EEJ2qxO11o8nmiQw0S2CzCBdnzJhx2ef84MGDDLKYuTjIxOIIK6c4jUyM\nCL+sHxU3ixtWQFzP5WYrIOpkN2S6ZSCHRgc4NNrPFHMvZtkfYP+YHOolJ+ubDKyUlFQ2ON0tjRsz\n03onh8QHeGecj0G6LFY238Penm2sZ3+BijDSrsoM1Sv0WIzs2KpF2S+cXbt28bXXXuPrr7/O/Pz8\ni9KyZ88eVq5UhRY5ksMjAhwRSQ6P8NMiR9NpD2JUVHOazcmskPkKW7f3MTyyO1Wdk46QelQNwQxK\n6UVbVBMC4JEjR8o93r1799Jgc9L65Hd0Tj9NfcsRVKq1ofWdY7S8eYDQG4m2A0tufSzMIR58k5HJ\naSwsLGSdBg2oS0il7ZkpDF6+i2qNepQdTjZqegs90TF0jHmCwmyhGhVFJSSEssXCFStWXLuTd51M\nnTqVktlMNSaGclAQJYeD9uEPsG6TJkxMS6fkCqKx+wAGr9hDy8jHqfOEs2/fvvT7/VRMZmLKdyV5\nueAYkVmbMNloffc4rdP2UorOpOmO1+icfpqm/hPpdgfzUbeJTHaTyW5ujXUwPtRDkpw/fz71ljCa\ngirSU2EQVX0QHcH1KCtWpqQ9ydbtixgTexc9no7U6ayUABoB6gDKAOP1MiP0MqPCw9m/Zw/WrJDG\nUJuVJkmwrcvISJ3E+maVEyOsZKVQslIo/xFiplUC11YLJxvFkY3iOCnZzSBFkMluZqoSZxsU0qpj\ngUVlhiqzYnoK586dy927dzPc5WQfi4H9DSW3efSKwpSYCHZs3ZxfffUVoz3BdOhkbutRkQWDqzPD\naWCvGAffzY5k46ggdu/SiaFOB3UCPNsknmyeSDZPZP/4YE6ePPmKzuPXX3/NqOAgSkKwUlIit27d\nei0ul2vmzxQQf5vB+q62u4YNxI78DzHzUDJmHEzA7nMf43DhCrz/SxpMZj26vfASnhg/HrNmzcK6\ndetQmHcWuYVL4acXecX7ca74MOo5XoJTTUGW9T54LBXw4pSp+GTZCixb9xPmLPgMqqriu+++Q2Za\nZQy/cyTuumM4gu0RWLNmzQVpiY2NxaDBA0H48M3JQdhfuBiLT/ZFUeAkHhg9EqQfRUWHEZcwDMdz\n/41Tp1YjLeufkKnCaIjC8R3/gjmsJiTVguxaDXDw4MGLjjcmJgaUFARy9gEA/Ht/hK5pfwhFBXN/\nARQd4In5b4SQKAQCAdRv1gLrClX46nXGmVefRU6zLFBnhOndJVi2bBnOnjkNS/PWCH13LvTV60By\nuDFswADUqlXrmp6/62HQoEGoWa06hNsDY7M2CJv3FfSZlZF7/ASO5hfA/OYXKFq7EjnNqyBvwSfw\ntR6If63ehD4DByHg8wFBpWMDCQGEJwCF+UCgGMJsh1rvNhTv/REAEDhxAN5iHz7O9+Lp4+dw3B/A\nweIALGYzVq9ejdv7DoS34CRMnmrI2ToTJlMsVNmKijWmY/euV1BQcBChYe1x4sQymM1utG7bFrIA\nvnAY4A024X5VwokiP1xWC/DvzzFeHEdPC+BUJHyYFoQ7w6zYWeRHkv6/fV7SDApUIfDl8YKSNJJY\ndLwAxYGSQTL3FAdwi1LSU8ggBJqrCnr06YeOHTsiLi4OazZtxraUdGwJteGVzhXgNsl4uIYT7QwH\n0KNLR0TGxsJjUpHiNMKgSFjWuQK+Pl6I9/RxaDX8AcyY9SGeefElGBUJvTYcwfZ8L/51JA8f7Mu9\n7CemfT4fcnNz0ahRI+w/loPCoiKs/3kHUlNTr+JVcpP7oyXL9V5wk9Ug/H4/rfoQVtDfQQUmpkq3\nsqIygAY4aTE46HHE0qoLZSVHLzrNYezSsQtDFCtDlWgmGWpThpGDw09zRCQ5NMJLixzBN95446L9\npMRn0gAnB0pr+KhMthHT6LaFXnArgyQLCgqYlVmTDl0M7XIs9bKNs2fP5smTJxkWFktJNrJu/e/p\ndjeiM6gu9fow1qjyEbOrfUK9zkMIAyXZREXnoE5v40svvXTRPqpm16Ew2alr1J8iJI66lkNoe+8k\nTU8tIezBRFAEMX4BMWU5ER7P9AoZNCVlUiw8SunzHIpZWwidnrZvdtG+dB9Vk5ltu3Shq3UHRn67\nhp53PqI5OISrVq26pufuenp7+nTakpIZ/vHXjPhyOR1VqnHQXXfRnpxO+/KDtLz9JRESQfHxgZI8\nmreXOruTYdExRGYd4o1VxMPvEDYXISu0vn2I1ndzKWc0pBxXhbra3SlUAz2Kwmd1MvuoEj2SYIjJ\nyLZt21KWDVR1LsqKnUIy0GbNYJ2ai1k5cyp1uiAaTLF06IMYpjMyVJEZbLFw3LhxrK1KZbd4GGKm\nFWCoxcTi2v8dXjvLrHJpJQ999aKZZlCYaVC4OzWIW1KCGKNK1AO0y4JVLTomGhVaJMGaMQ669TJt\nAJ/SyQxYVB42q0ywmLlo0aIL8q5SaiJX31ubrdOCOeu2TPKZZuQzzTitYzo7tGpOi07lqi4VyKE1\nuapLBbqslrJbf7t376ZZlflsejDbeMx0qRJjjQqHRNsZ5wn+3fM2c8YMWg0GOgx6JkVGcsuWLZcM\nGwgELvpfuZlAu8V0Y6xbt46ypGeK3JljrOQYK9nXtJY62Hib+RumqT0ZqzTjAPsOGnRm9uzcmSZV\noUVV6bYF061msI59HKN1zRgq1WBcZMpF+3BYg5iMdnxUZtlikK3lNsgWFRXxww8/5NSpU7l9+/ay\n9Rs3bqRRZ6EiWRlqaUJVdbFyxmvs0KqYHVoVs2bVuVRVF+u22cqKtd+j0RJPRbWzWvU6ZbOkkeTm\nzZtpcbhpjK9CY1QGJaOFSkwmRXgyYTBTqtyE8MSUtE14EmjKbEhk1KL0eU7Jl9/Co4TBRPPLs2ht\n3omNW7XmmTNn2Kl7d5qdTobFxfOjjz66NifrBgkEAnzquefo8HhoDQriPfc/wPz8fCZUyKCl11Aa\nRz1HxKT8N48+O0Y4PTRXb0dhdRMmOxGVQjmlBmEwU46vQiU0npLRSkN8NRqjK9AqSVxjKrldQ6uO\nHfUqjSYbFcVGgymWYaHNaFKttAE0SCrT4+9nh1bFjI8ZRr1Q2NlmYHGFYPorBPP2EBu7d+7MSIOe\necEmMsTMXW4jjapCt8lQNv+Cv3YU4/QyF2eG8Gh2JNONCls5DPQoEkNViQYBPhtuoUMCY/UyVYBW\no559GiaxY3Ycg1x2pkRGMsxkolmn8qnHHrso7ypXSOETLZLYppwCIrtKRX48fz6dVjOTQpx02Sz8\neP78srgPPfQQu0fayA5pZIc0Hm6RRJsi8cQtCTTI0m+es82bNzPEbOKmGDuZ7OZUj4WpMdEXFQJ+\nv5/3Dx9Oi15Pi17P+4YNu+D/5WbxZwqIv81ortdCVlYWOnRsg72fhJWtM4lgBOBDmFIdUUo9TDoT\nBlUyQScbMX7CBLw6dSq8Xi8++OADTHxwIYrOHUKK1BYZxtvxz0MukLzgieoa1Wvg+2/Wwss86IQF\nx7gZkANwOBwXpUen06Fr164Xre/bcyAkrwkQ+WiW9Bk+39EIxf78ss+Li/OhqHacy9uD7T+OQsUa\nb0PR2bFxZT+MefAhjHv+Wfj9flgsFqxasQxLly6Foih4dfLr2C+SYKl4G4TegiPvdYHLZsZpixPm\np74HC84AD2eDX8wEKtaG8vE0GOwOhM0Yj3q1auGV55+DxWLBnPffv8pn5uYhhMBDo0fjodGjL1i/\n/OuvMHTk/di46HvsP50D35xJCNRsAS6eBWFyQB38Fmx5J3B2dGW44cWZ3COIvOs7+HJ3IX/VFDSt\nn41G9WvDaDRi1IjhCIOvbNuRDECSQxET1xJFe6binrxDWCP5sVmR8Klbh0YHXsNhZx34ik/BoQah\nl6MAcuk1d6tR4J+HDqJNt26oNncOasoCi73A4088ifFPjUWLzcfQz2PG/OMF8JFotfEYIAAVQLE/\ngJfjHMgw61Brw1EM9ljR0WXCN2eLMOpIAdZt2IRFixZBCIEpnTohKCgIBw8ehN1uh91uvyjvUlMr\nYMqiBXAaVQz5ZCt8AcLnJx5atAP5fgnL/v0tCoq82FdQiFs7dUSLli3L4up0OhT4S57zOOX146OD\nZ+AnMfvQGbht1t88Z+vWrUNjqwEV9CV5codNh3v3HsbZs2dhs9nKwv3zpZfw3TtvY4epZHyEjjOm\n45WoKIwcNeqKrpGb2h8tWa73gpuwBkGSEydOpAoLOxhms5/pR8bJt1CBiSPtBbzXfo564WA907OM\njUq+4NfFt99+y2BLHIebj3CMlWxmmMTM1KoXbf/UqVOMi0ihBWFMFC1oVl189933riiNZsnNDuJd\nqsLMnpVOs03KSuoUNyukjmPF9FepU4OoN0QwPL4vUyu/VDYbXc3GS+hyR3Hz5s2MjU+l1RFGvcHM\np55+liSp0xuZ+NgRJj+Tz+Rn8hlcbyh79OhBV60OdE4/Tef007Q+sYzCbKM7MpqtO996Qe8fTYld\nu3axTpNmdIRFUHGH0f7y1rL8s0cls3mrdvR0nFSWz1F3fsPUitVYXFzMXr370ywrbCxL3GxSOc9Q\nMpNcjUZLaZAN3O02kiFmBoJNbKGT+a7TwH9Y9XQ5atOohrFCUH92tVvLahDd7QbeO2QICwsLOWjg\nQNatWZO3NG3KqhXSOcik4zizylRFYk2zyrwqYbw3xMSmBpm7omxcFm5liCzoUSQ2NamMVmU2tenp\nMho48wp6Dv1qyuRJzE4I4YL+Vfl8q2SmBpuZGmziZ7dnUZEEq0cHM2dYNs/eU5utUsL4j1H3l8U9\nevQo7QY9B8c6GKqX2cBtZD2XkSZZcPbs2b+53yVLljDJbuXZRBeZ7OaaaDsdZtNFtYM29etxnlVX\nNlPdfKuOrevVveLjvNagNVLfOP379wfgxzeF92PeuU7I9W+BDTH42TcX/8prDj+8yAmfhS8WfwLp\nvLFoGjZsiOH3DcSbviS8hXhsc76Ef81/76Lt2+127PplKxYsmYUnZvbGmg3L0atXjytKo6rTQYKM\nDNEDX//cBicLNsJtyMK2HWNxKncl6qR+iEhXOxzdPxdFBYfK4hUVHEHe2QJUq1YXsrs3qnbahyod\nNuOFl6ZhyZIl8ERE49zupQAAFnvhP7gS2dnZKNr6HYp//h4M+BHY8i0SYmKQs38vFnw0u9yhDf7u\n4uPj8d1XX2LXpg0wwY/ivevBQADe5R9AKT6HypUy4P9l2a8/lFC0ZyniYqIxcdIkLP73DlS67Rfs\nSeiH2l4ZtxcFUCB00OmdKA74EFI6fpEQAh5J4AyJL4oCOHl6DSKsLWAxVMLnZ32I2nYWwVtPYmGe\nD1AUtGrcCAfmzkaPPZu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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "\n", "# Perform Locally Linear Embedding Manifold learning\n", "methods = ['standard', 'ltsa', 'hessian', 'modified']\n", "labels = ['LLE', 'LTSA', 'Hessian LLE', 'Modified LLE']\n", "\n", "for i, method in enumerate(methods):\n", " t0 = time()\n", " trans_data = manifold\\\n", " .LocallyLinearEmbedding(n_neighbors, 2,\n", " method=method).fit_transform(sphere_data).T\n", " t1 = time()\n", " print(\"%s: %.2g sec\" % (methods[i], t1 - t0))\n", "\n", " ax = fig.add_subplot(252 + i)\n", " plt.scatter(trans_data[0], trans_data[1], c=colors, cmap=plt.cm.rainbow)\n", " plt.title(\"%s (%.2g sec)\" % (labels[i], t1 - t0))\n", " ax.xaxis.set_major_formatter(NullFormatter())\n", " ax.yaxis.set_major_formatter(NullFormatter())\n", " plt.axis('tight')" ] }, { "cell_type": "code", "execution_count": 46, "metadata": { "ExecuteTime": { "end_time": "2017-05-28T11:32:42.052574", "start_time": "2017-05-28T11:32:41.580905" }, "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "ISO: 0.19 sec\n" ] }, { "data": { "text/plain": [ "(-2.1677907757889567,\n", " 2.1093381892354612,\n", " -1.6258589525029719,\n", " 1.6733564958081439)" ] }, "execution_count": 46, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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Jh+TkZKilprDJXVUqEwIeCjm+/v57zF24EBv+2ImEjj0g6zkAh0+egqenJwJK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\nbc5XoXXr1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1euDLlcAxOmHkMlP2vs2vMAdYOCvnmf9JImNTUV2sZ6EAgEuPf7BRzovggG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\nL02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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Perform Isomap Manifold learning.\n", "t0 = time()\n", "trans_data = manifold.Isomap(n_neighbors, n_components=2)\\\n", " .fit_transform(sphere_data).T\n", "t1 = time()\n", "print(\"%s: %.2g sec\" % ('ISO', t1 - t0))\n", "\n", "ax = fig.add_subplot(257)\n", "plt.scatter(trans_data[0], trans_data[1], c=colors, cmap=plt.cm.rainbow)\n", "plt.title(\"%s (%.2g sec)\" % ('Isomap', t1 - t0))\n", "ax.xaxis.set_major_formatter(NullFormatter())\n", "ax.yaxis.set_major_formatter(NullFormatter())\n", "plt.axis('tight')" ] }, { "cell_type": "code", "execution_count": 47, "metadata": { "ExecuteTime": { "end_time": "2017-05-28T11:32:51.846936", "start_time": "2017-05-28T11:32:50.724917" }, "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "MDS: 0.84 sec\n" ] }, { "data": { "text/plain": [ "(-1.2268383753849621,\n", " 1.2622003616242212,\n", " -1.2576038605921687,\n", " 1.2407991565554231)" ] }, "execution_count": 47, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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ixYr7ThDT+H/wKD/O87r4j/vkJ0+eLGU9RsqAIhYZUMQiPQpFi6O9W977Q4cO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\n8ODB15jSd8OHlPx/3jXfAW3btkVKSgKOHzuEyMuncerUsbfcyqysrJD28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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Perform Multi-dimensional scaling.\n", "t0 = time()\n", "mds = manifold.MDS(2, max_iter=100, n_init=1)\n", "trans_data = mds.fit_transform(sphere_data).T\n", "t1 = time()\n", "print(\"MDS: %.2g sec\" % (t1 - t0))\n", "\n", "ax = fig.add_subplot(258)\n", "plt.scatter(trans_data[0], trans_data[1], c=colors, cmap=plt.cm.rainbow)\n", "plt.title(\"MDS (%.2g sec)\" % (t1 - t0))\n", "ax.xaxis.set_major_formatter(NullFormatter())\n", "ax.yaxis.set_major_formatter(NullFormatter())\n", "plt.axis('tight')" ] }, { "cell_type": "code", "execution_count": 48, "metadata": { "ExecuteTime": { "end_time": "2017-05-28T11:33:00.666883", "start_time": "2017-05-28T11:33:00.276685" }, "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Spectral Embedding: 0.12 sec\n" ] }, { "data": { "text/plain": [ "(-0.23182960303697753,\n", " 0.25711935331255825,\n", " -0.24594098126391592,\n", " 0.29676247825266938)" ] }, "execution_count": 48, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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gKd6tVYeffpj0yMglEWHJkiV07d2Tcr/0xae8KSrn0KhfKXrdkkkTXh03WWYS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8Yw3TuKRnVqvfBjMDc3x6djx2DurGowCEORkHkYsHNC+paxgEgEKsyQnZKCtRu2YfvWbRBZ1oNU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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Perform Spectral Embedding.\n", "t0 = time()\n", "se = manifold.SpectralEmbedding(n_components=2,\n", " n_neighbors=n_neighbors)\n", "trans_data = se.fit_transform(sphere_data).T\n", "t1 = time()\n", "print(\"Spectral Embedding: %.2g sec\" % (t1 - t0))\n", "\n", "ax = fig.add_subplot(259)\n", "plt.scatter(trans_data[0], trans_data[1], c=colors, cmap=plt.cm.rainbow)\n", "plt.title(\"Spectral Embedding (%.2g sec)\" % (t1 - t0))\n", "ax.xaxis.set_major_formatter(NullFormatter())\n", "ax.yaxis.set_major_formatter(NullFormatter())\n", "plt.axis('tight')\n" ] }, { "cell_type": "code", "execution_count": 50, "metadata": { "ExecuteTime": { "end_time": "2017-05-28T11:33:35.317556", "start_time": "2017-05-28T11:33:22.845857" }, "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "t-SNE: 12 sec\n" ] }, { "data": { "text/plain": [ "(-17.071483718699067,\n", " 17.560766137897271,\n", " -29.251257128892885,\n", " 29.965294555872237)" ] }, "execution_count": 50, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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VdJI1g7mngj/NWg0vX75com39p8jOzua3337LxYsXMykpqVB6UlISAx121vMz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\n0AciMiwkB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EPexgDCkuKoLvyA0tz3/J9tfzLE1xdDfH0/K8fR0REd7B1xwXk8OPbGeHPq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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Perform t-distributed stochastic neighbor embedding.\n", "t0 = time()\n", "tsne = manifold.TSNE(n_components=2, init='pca', random_state=0, method = 'exact')\n", "trans_data = tsne.fit_transform(sphere_data).T\n", "t1 = time()\n", "print(\"t-SNE: %.2g sec\" % (t1 - t0))\n", "\n", "ax = fig.add_subplot(2, 5, 10)\n", "plt.scatter(trans_data[0], trans_data[1], c=colors, cmap=plt.cm.rainbow)\n", "plt.title(\"t-SNE (%.2g sec)\" % (t1 - t0))\n", "ax.xaxis.set_major_formatter(NullFormatter())\n", "ax.yaxis.set_major_formatter(NullFormatter())\n", "plt.axis('tight')\n" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "collapsed": true }, "outputs": [], "source": [] } ], "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": "2.7.12" }, "latex_envs": { "bibliofile": "biblio.bib", "cite_by": "apalike", "current_citInitial": 1, "eqLabelWithNumbers": true, "eqNumInitial": 0 }, "toc": { "toc_cell": false, "toc_number_sections": false, "toc_threshold": 6, "toc_window_display": true } }, "nbformat": 4, "nbformat_minor": 0 }