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hands-on/08_dimensionality_reduction.ipynb
2017-04-07 21:33:53 +02:00

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{
"cells": [
{
"cell_type": "markdown",
"metadata": {
"deletable": true,
"editable": true
},
"source": [
"**Chapter 8 Dimensionality Reduction**"
]
},
{
"cell_type": "markdown",
"metadata": {
"deletable": true,
"editable": true
},
"source": [
"_This notebook contains all the sample code and solutions to the exercices in chapter 8._"
]
},
{
"cell_type": "markdown",
"metadata": {
"deletable": true,
"editable": true
},
"source": [
"# Setup"
]
},
{
"cell_type": "markdown",
"metadata": {
"deletable": true,
"editable": true
},
"source": [
"First, let's make sure this notebook works well in both python 2 and 3, import a few common modules, ensure MatplotLib plots figures inline and prepare a function to save the figures:"
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {
"collapsed": true,
"deletable": true,
"editable": true
},
"outputs": [],
"source": [
"# To support both python 2 and python 3\n",
"from __future__ import division, print_function, unicode_literals\n",
"\n",
"# Common imports\n",
"import numpy as np\n",
"import numpy.random as rnd\n",
"import os\n",
"\n",
"# to make this notebook's output stable across runs\n",
"rnd.seed(42)\n",
"\n",
"# To plot pretty figures\n",
"%matplotlib inline\n",
"import matplotlib\n",
"import matplotlib.pyplot as plt\n",
"plt.rcParams['axes.labelsize'] = 14\n",
"plt.rcParams['xtick.labelsize'] = 12\n",
"plt.rcParams['ytick.labelsize'] = 12\n",
"\n",
"# Where to save the figures\n",
"PROJECT_ROOT_DIR = \".\"\n",
"CHAPTER_ID = \"dim_reduction\"\n",
"\n",
"def save_fig(fig_id, tight_layout=True):\n",
" path = os.path.join(PROJECT_ROOT_DIR, \"images\", CHAPTER_ID, fig_id + \".png\")\n",
" print(\"Saving figure\", fig_id)\n",
" if tight_layout:\n",
" plt.tight_layout()\n",
" plt.savefig(path, format='png', dpi=300)"
]
},
{
"cell_type": "markdown",
"metadata": {
"deletable": true,
"editable": true
},
"source": [
"# Projection methods\n",
"Build 3D dataset:"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {
"collapsed": false,
"deletable": true,
"editable": true
},
"outputs": [],
"source": [
"rnd.seed(4)\n",
"m = 60\n",
"w1, w2 = 0.1, 0.3\n",
"noise = 0.1\n",
"\n",
"angles = rnd.rand(m) * 3 * np.pi / 2 - 0.5\n",
"X = np.empty((m, 3))\n",
"X[:, 0] = np.cos(angles) + np.sin(angles)/2 + noise * rnd.randn(m) / 2\n",
"X[:, 1] = np.sin(angles) * 0.7 + noise * rnd.randn(m) / 2\n",
"X[:, 2] = X[:, 0] * w1 + X[:, 1] * w2 + noise * rnd.randn(m)"
]
},
{
"cell_type": "markdown",
"metadata": {
"deletable": true,
"editable": true
},
"source": [
"Mean normalize the data:"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {
"collapsed": false,
"deletable": true,
"editable": true
},
"outputs": [],
"source": [
"X = X - X.mean(axis=0)"
]
},
{
"cell_type": "markdown",
"metadata": {
"deletable": true,
"editable": true
},
"source": [
"Apply PCA to reduce to 2D."
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {
"collapsed": false,
"deletable": true,
"editable": true
},
"outputs": [],
"source": [
"from sklearn.decomposition import PCA\n",
"\n",
"pca = PCA(n_components = 2)\n",
"X2D = pca.fit_transform(X)"
]
},
{
"cell_type": "markdown",
"metadata": {
"deletable": true,
"editable": true
},
"source": [
"Recover the 3D points projected on the plane (PCA 2D subspace)."
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {
"collapsed": true,
"deletable": true,
"editable": true
},
"outputs": [],
"source": [
"X2D_inv = pca.inverse_transform(X2D)"
]
},
{
"cell_type": "markdown",
"metadata": {
"deletable": true,
"editable": true
},
"source": [
"Utility class to draw 3D arrows (copied from http://stackoverflow.com/questions/11140163)"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {
"collapsed": true,
"deletable": true,
"editable": true
},
"outputs": [],
"source": [
"from matplotlib.patches import FancyArrowPatch\n",
"from mpl_toolkits.mplot3d import proj3d\n",
"\n",
"class Arrow3D(FancyArrowPatch):\n",
" def __init__(self, xs, ys, zs, *args, **kwargs):\n",
" FancyArrowPatch.__init__(self, (0,0), (0,0), *args, **kwargs)\n",
" self._verts3d = xs, ys, zs\n",
"\n",
" def draw(self, renderer):\n",
" xs3d, ys3d, zs3d = self._verts3d\n",
" xs, ys, zs = proj3d.proj_transform(xs3d, ys3d, zs3d, renderer.M)\n",
" self.set_positions((xs[0],ys[0]),(xs[1],ys[1]))\n",
" FancyArrowPatch.draw(self, renderer)"
]
},
{
"cell_type": "markdown",
"metadata": {
"deletable": true,
"editable": true
},
"source": [
"Express the plane as a function of x and y."
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {
"collapsed": false,
"deletable": true,
"editable": true
},
"outputs": [],
"source": [
"axes = [-1.8, 1.8, -1.3, 1.3, -1.0, 1.0]\n",
"\n",
"x1s = np.linspace(axes[0], axes[1], 10)\n",
"x2s = np.linspace(axes[2], axes[3], 10)\n",
"x1, x2 = np.meshgrid(x1s, x2s)\n",
"\n",
"C = pca.components_\n",
"R = C.T.dot(C)\n",
"z = (R[0, 2] * x1 + R[1, 2] * x2) / (1 - R[2, 2])"
]
},
{
"cell_type": "markdown",
"metadata": {
"deletable": true,
"editable": true
},
"source": [
"Plot the 3D dataset, the plane and the projections on that plane."
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {
"collapsed": false,
"deletable": true,
"editable": true
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Saving figure dataset_3d_plot\n"
]
},
{
"data": {
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oUxFRoDhwXzySge1buFWoxNpUtaAAsFXXk6X6hdvtxpEjR9Da2srmVHEHUnJcMmD6nkci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\nYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f4483cee080>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"from mpl_toolkits.mplot3d import Axes3D\n",
"\n",
"fig = plt.figure(figsize=(6, 3.8))\n",
"ax = fig.add_subplot(111, projection='3d')\n",
"\n",
"X3D_above = X[X[:, 2] > X2D_inv[:, 2]]\n",
"X3D_below = X[X[:, 2] <= X2D_inv[:, 2]]\n",
"\n",
"ax.plot(X3D_below[:, 0], X3D_below[:, 1], X3D_below[:, 2], \"bo\", alpha=0.5)\n",
"\n",
"ax.plot_surface(x1, x2, z, alpha=0.2, color=\"k\")\n",
"np.linalg.norm(C, axis=0)\n",
"ax.add_artist(Arrow3D([0, C[0, 0]],[0, C[0, 1]],[0, C[0, 2]], mutation_scale=15, lw=1, arrowstyle=\"-|>\", color=\"k\"))\n",
"ax.add_artist(Arrow3D([0, C[1, 0]],[0, C[1, 1]],[0, C[1, 2]], mutation_scale=15, lw=1, arrowstyle=\"-|>\", color=\"k\"))\n",
"ax.plot([0], [0], [0], \"k.\")\n",
"\n",
"for i in range(m):\n",
" if X[i, 2] > X2D_inv[i, 2]:\n",
" ax.plot([X[i][0], X2D_inv[i][0]], [X[i][1], X2D_inv[i][1]], [X[i][2], X2D_inv[i][2]], \"k-\")\n",
" else:\n",
" ax.plot([X[i][0], X2D_inv[i][0]], [X[i][1], X2D_inv[i][1]], [X[i][2], X2D_inv[i][2]], \"k-\", color=\"#505050\")\n",
" \n",
"ax.plot(X2D_inv[:, 0], X2D_inv[:, 1], X2D_inv[:, 2], \"k+\")\n",
"ax.plot(X2D_inv[:, 0], X2D_inv[:, 1], X2D_inv[:, 2], \"k.\")\n",
"ax.plot(X3D_above[:, 0], X3D_above[:, 1], X3D_above[:, 2], \"bo\")\n",
"ax.set_xlabel(\"$x_1$\", fontsize=18)\n",
"ax.set_ylabel(\"$x_2$\", fontsize=18)\n",
"ax.set_zlabel(\"$x_3$\", fontsize=18)\n",
"ax.set_xlim(axes[0:2])\n",
"ax.set_ylim(axes[2:4])\n",
"ax.set_zlim(axes[4:6])\n",
"\n",
"save_fig(\"dataset_3d_plot\")\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {
"collapsed": false,
"deletable": true,
"editable": true
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Saving figure dataset_2d_plot\n"
]
},
{
"data": {
"image/png": 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/7e5PA19m6rpHkVkZGxsD4Atf+ALr16+fXpbGHT9+nKVLl9Lb28uKFSu4/PLLuffee1MV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\nEiqIIiKJ/w91rHivZIJ6nAAAAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f448339c940>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig = plt.figure()\n",
"ax = fig.add_subplot(111, aspect='equal')\n",
"\n",
"ax.plot(X2D[:, 0], X2D[:, 1], \"k+\")\n",
"ax.plot(X2D[:, 0], X2D[:, 1], \"k.\")\n",
"ax.plot([0], [0], \"ko\")\n",
"ax.arrow(0, 0, 0, 1, head_width=0.05, length_includes_head=True, head_length=0.1, fc='k', ec='k')\n",
"ax.arrow(0, 0, 1, 0, head_width=0.05, length_includes_head=True, head_length=0.1, fc='k', ec='k')\n",
"ax.set_xlabel(\"$z_1$\", fontsize=18)\n",
"ax.set_ylabel(\"$z_2$\", fontsize=18, rotation=0)\n",
"ax.axis([-1.5, 1.3, -1.2, 1.2])\n",
"ax.grid(True)\n",
"save_fig(\"dataset_2d_plot\")"
]
},
{
"cell_type": "markdown",
"metadata": {
"deletable": true,
"editable": true
},
"source": [
"PCA using SVD decomposition"
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {
"collapsed": true,
"deletable": true,
"editable": true
},
"outputs": [],
"source": [
"m, n = X.shape\n",
"\n",
"X_centered = X - X.mean(axis=0)\n",
"U, s, V = np.linalg.svd(X_centered)\n",
"c1 = V.T[:, 0]\n",
"c2 = V.T[:, 1]\n",
"\n",
"S = np.zeros(X.shape)\n",
"S[:n, :n] = np.diag(s)"
]
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {
"collapsed": false,
"deletable": true,
"editable": true
},
"outputs": [
{
"data": {
"text/plain": [
"True"
]
},
"execution_count": 11,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"np.allclose(X, U.dot(S).dot(V))"
]
},
{
"cell_type": "code",
"execution_count": 12,
"metadata": {
"collapsed": false,
"deletable": true,
"editable": true
},
"outputs": [],
"source": [
"T = X.dot(V.T[:, :2])"
]
},
{
"cell_type": "code",
"execution_count": 13,
"metadata": {
"collapsed": false,
"deletable": true,
"editable": true
},
"outputs": [
{
"data": {
"text/plain": [
"True"
]
},
"execution_count": 13,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"np.allclose(T, U.dot(S)[:, :2])"
]
},
{
"cell_type": "code",
"execution_count": 14,
"metadata": {
"collapsed": false,
"deletable": true,
"editable": true
},
"outputs": [
{
"data": {
"text/plain": [
"False"
]
},
"execution_count": 14,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"from sklearn.decomposition import PCA\n",
"pca = PCA(n_components = 2)\n",
"X2D_p = pca.fit_transform(X)\n",
"np.allclose(X2D_p, T)"
]
},
{
"cell_type": "code",
"execution_count": 15,
"metadata": {
"collapsed": true,
"deletable": true,
"editable": true
},
"outputs": [],
"source": [
"X3D_recover = T.dot(V[:2, :])"
]
},
{
"cell_type": "code",
"execution_count": 16,
"metadata": {
"collapsed": false,
"deletable": true,
"editable": true
},
"outputs": [
{
"data": {
"text/plain": [
"True"
]
},
"execution_count": 16,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"np.allclose(X3D_recover, pca.inverse_transform(X2D_p))"
]
},
{
"cell_type": "code",
"execution_count": 17,
"metadata": {
"collapsed": false,
"deletable": true,
"editable": true
},
"outputs": [
{
"data": {
"text/plain": [
"array([[ 0.93636116, 0.29854881, 0.18465208],\n",
" [-0.34027485, 0.90119108, 0.2684542 ],\n",
" [-0.08626012, -0.31420255, 0.94542898]])"
]
},
"execution_count": 17,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"V"
]
},
{
"cell_type": "code",
"execution_count": 18,
"metadata": {
"collapsed": false,
"deletable": true,
"editable": true
},
"outputs": [
{
"data": {
"text/plain": [
"array([[-0.93636116, -0.29854881, -0.18465208],\n",
" [ 0.34027485, -0.90119108, -0.2684542 ]])"
]
},
"execution_count": 18,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"pca.components_"
]
},
{
"cell_type": "code",
"execution_count": 19,
"metadata": {
"collapsed": true,
"deletable": true,
"editable": true
},
"outputs": [],
"source": [
"R = pca.components_.T.dot(pca.components_)"
]
},
{
"cell_type": "code",
"execution_count": 20,
"metadata": {
"collapsed": false,
"deletable": true,
"editable": true
},
"outputs": [
{
"data": {
"text/plain": [
"array([[ 6.77645005, 0. , 0. ],\n",
" [ 0. , 2.82403671, 0. ],\n",
" [ 0. , 0. , 0.78116597]])"
]
},
"execution_count": 20,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"S[:3]"
]
},
{
"cell_type": "code",
"execution_count": 21,
"metadata": {
"collapsed": false,
"deletable": true,
"editable": true
},
"outputs": [
{
"data": {
"text/plain": [
"array([ 0.84248607, 0.14631839])"
]
},
"execution_count": 21,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"pca.explained_variance_ratio_"
]
},
{
"cell_type": "code",
"execution_count": 22,
"metadata": {
"collapsed": false,
"deletable": true,
"editable": true
},
"outputs": [
{
"data": {
"text/plain": [
"0.011195535570688975"
]
},
"execution_count": 22,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"1 - pca.explained_variance_ratio_.sum()"
]
},
{
"cell_type": "code",
"execution_count": 23,
"metadata": {
"collapsed": false,
"deletable": true,
"editable": true
},
"outputs": [
{
"data": {
"text/plain": [
"(0.84248607137528853, 0.14631839305402258)"
]
},
"execution_count": 23,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"S[0,0]**2/(S**2).sum(), S[1,1]**2/(S**2).sum()"
]
},
{
"cell_type": "code",
"execution_count": 24,
"metadata": {
"collapsed": false,
"deletable": true,
"editable": true
},
"outputs": [
{
"data": {
"text/plain": [
"2.8240367131730806"
]
},
"execution_count": 24,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"np.sqrt((T[:, 1]**2).sum())"
]
},
{
"cell_type": "markdown",
"metadata": {
"deletable": true,
"editable": true
},
"source": [
"# Manifold learning\n",
"Swiss roll:"
]
},
{
"cell_type": "code",
"execution_count": 25,
"metadata": {
"collapsed": true,
"deletable": true,
"editable": true
},
"outputs": [],
"source": [
"from sklearn.datasets import make_swiss_roll\n",
"X, t = make_swiss_roll(n_samples=1000, noise=0.2, random_state=42)"
]
},
{
"cell_type": "code",
"execution_count": 26,
"metadata": {
"collapsed": false,
"deletable": true,
"editable": true
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Saving figure swiss_roll_plot\n"
]
},
{
"data": {
"image/png": 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YsWIRH374Al9++TORkSdp2TKMy5dzOHnyAs8+O4HBg4eU2cbDw4OpU6fzxRf/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\ngg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f4483c98cf8>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"axes = [-11.5, 14, -2, 23, -12, 15]\n",
"\n",
"fig = plt.figure(figsize=(6, 5))\n",
"ax = fig.add_subplot(111, projection='3d')\n",
"\n",
"ax.scatter(X[:, 0], X[:, 1], X[:, 2], c=t, cmap=plt.cm.hot)\n",
"ax.view_init(10, -70)\n",
"ax.set_xlabel(\"$x_1$\", fontsize=18)\n",
"ax.set_ylabel(\"$x_2$\", fontsize=18)\n",
"ax.set_zlabel(\"$x_3$\", fontsize=18)\n",
"ax.set_xlim(axes[0:2])\n",
"ax.set_ylim(axes[2:4])\n",
"ax.set_zlim(axes[4:6])\n",
"\n",
"save_fig(\"swiss_roll_plot\")\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 27,
"metadata": {
"collapsed": false,
"deletable": true,
"editable": true
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Saving figure squished_swiss_roll_plot\n"
]
},
{
"data": {
"image/png": 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DWspalSp8tiHtssK9e/foqrdjD7WIE9SgQQZaq8HlPcBVvUBnexV//vnnLJW5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\nSWu23mWDEBdtZezYsQT7K8wfKkzsK9gsGhLjjAztpqZEuInhw4bc81r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z29BNqF21/P/p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\nYjS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WChUw0aB+tWwpuidPnqRx4+rExkbQt2/XdMZmTvD48WM2btzI559/nibs51msX7+e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rXr9+HVFRUShZsiRcXV0/+F0mk+LUqWR4eZnYaUKC+IONhlKlSmDixBuoUMECIpEIW7ak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\nEEIIIfLt/wGYlknBWdODKgAAAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f44832ea9e8>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.figure(figsize=(11, 4))\n",
"\n",
"plt.subplot(121)\n",
"plt.scatter(X[:, 0], X[:, 1], c=t, cmap=plt.cm.hot)\n",
"plt.axis(axes[:4])\n",
"plt.xlabel(\"$x_1$\", fontsize=18)\n",
"plt.ylabel(\"$x_2$\", fontsize=18, rotation=0)\n",
"plt.grid(True)\n",
"\n",
"plt.subplot(122)\n",
"plt.scatter(t, X[:, 1], c=t, cmap=plt.cm.hot)\n",
"plt.axis([4, 15, axes[2], axes[3]])\n",
"plt.xlabel(\"$z_1$\", fontsize=18)\n",
"plt.grid(True)\n",
"\n",
"save_fig(\"squished_swiss_roll_plot\")\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 28,
"metadata": {
"collapsed": false,
"deletable": true,
"editable": true
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Saving figure manifold_decision_boundary_plot1\n"
]
},
{
"data": {
"image/png": 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0VAhUQ+BmFKDy7a0sUTYwMNAtBFpQP1y4sAerVc01OnPmBDabmj9lsQRz+nQn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\nAAAASUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f448352f5f8>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"Saving figure manifold_decision_boundary_plot2\n"
]
},
{
"data": {
"image/png": 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zbmstOC6AdVBXSyEEkyZdQUoKHD+eRFraSHJzFcuXQhXcJ070MbwQycmC4uKv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\nbW4+y5Ejob3/eq1t2bK5TJ1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oQVG8DB0KJ0782RCZoAqyw4e3BCwC+men9hPg3Xfh+98H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\nKSgosLbvpgBb8FddcRBnnDbYughtMNiZ6ezg1Bm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7wmYL27RTODEH6EsczZ49jp/+VOXY\nuBjAaBZNFjPVNr19uxSeTviMjSaPU7z66nYeemi8rs8iIM033Jc3Uha6YHZyq5TkaKVij7lpDL08\ngalwVRVVliatliZQzHlyjoxJboi4ibBwKdiAFwNLkKnJAD8EnhVCPKcoyn3ASuAdZBzw/THshy3C\ntXsGK8WuXgewbWdP3v+ws+47eOcvP+PP//ggcJKaSKfVjKLU/qlyQlpoA025TY4KbapI7Z+K+6Cb\nuo11XMN5/l977x4eVXnu/X8eIIQA4SBHFeUgEIK1JpwERA5aoYCHartfte/PrZW+9OqmtLr3poqg\nqERF6M8z2o1VqdLddkuglUTbtwWCclCJZCI/CIMJw1HDKSYkJBCSeX5/rFkza9Zp1pwykazvdeWC\nWbNmredZ63nu537uw/desKyZo4+058SB3gyfGH0evpPnpgqO7343lCwgJfzpT9ChQwnDhrVDKx8S\nxWKm2qbnzNEKz0wWLXre8jd6m7FVtENhYT6lpbGR9ce6sERKjNHGK2v7cNuPb6Y23VjT3amgtDrH\nMnU5MBbDql5EEca2//j+UJp+G0Iyw9CeBJ60+G4TkJ2sezuFk7hgMw0k0u+m3l9iMkhr6OHbHz5A\nPYTy7QNlWbTB7Wq4WLxQJ9OGDe/xu9/9GIB//Zd0srNXxuSgcfLcCgvz2bjxZcrLbyQzU03/VLbI\nX32VycmTGRw7NhRQts6JYjGLVtBpNVMZKOC5d++75OYaF4E9e96moeFjPvhgLF269IpKi9LSIR4+\n7OPKKwcjJVFo5uYRH+HxyiHteu2Gz/h0Wq3R+etw0Y51ix5MxDgY9U8V6BSS9lXt6dOjD8MnxEfY\no8dFHwd8sSChXAf7PIqnd2aNoh1og92TvPJLqdR769y5KepyQE6ubRZHfeutDezerSQLAJot8rCg\nTTfRW+doNWizAp4jR1YzY0Y4J4jf72fmzAE88ogiDO+991nLvpuZDLR0iGvWPMD06ZE5R/SauV4D\nN4tXBmXRuWX6WTz7jWYmzz4Pcx+e23pjZ3XsfZN8kxJq+21tcAWwDcxC1J599lHLLag2+8oMhjLb\nmi2aWkYoXmo+MI8JPlN5gr6UM2+efTmgWGAVR52bC83NRtu49r6JLgUfbb6/WQHPpUuNBTyXLl3A\n5MlfB9tZX19l2Xf186xZdzpO8NFDPVflQb7rrnp+85uFdOt23PCcv/wSTpyQlJWN5JJL+ij92ueh\nS1qNQQDXdKpxlLobt3ao1WRPQPsO7enauatlslFLozVovwCR8xTbMMxsg8rkWmd5/u7dr3H2xKmo\n76Wmg2oHZEbHDPOTIyiI6jZQ+3ektoxJN2gJiEZy+PAYSkq2Rt1WLbRCJT9/BX6/P6CVhbbDL788\nn/z8FWHHrM7Nz19huYAlA4sXv8DLL29h+vT5zJjRGMgia2TUqJAqppKnT5yIafv1fVc/FxauDRsv\nZouNFdRkkBdegNOnFQ4MKStMn/Pdd8P8+ZK0NCUe+6WXihCX5lA1NqmPzh43oPgvpgF9ofmHzdTM\nrKHypsrgmPw2czgkCq4AtoAqWHJzFQ0kN7eeTZt+G5wAeiGhFUQd6o+EXI92iGCPu3XCrUzxTaH/\nxv50/7B78K9/x/7BMDVnnYE+XeH6gACZONFPt26ZvPRSEYsWPR8ggIlN6Nk5sDweReDfcMPXpKXt\nMthl7VJ7WxLquxs7Vqk+PG7c+bB3rCVPV9vZocMuQ2FM9TPAqVPFvPXWItuFyW6x8Xi2sW3bQL75\nBubNg/ff78SkSS337Awx5AEM7zecKb4phj/bsXgCRRvW/XnLvPFdNw5Y9a+l4ZogLFBQsJbTpz9n\n507FLvjnPxOchGZbZa0gunVGA00fj6Rrvz7B74NFNo2O6eD3ettcpOoYWso/u+1cug/unorpZJVS\nGlJ+nbKXmYVWLVmyhpwc1en2DX/7mw8hajlxQpCRMRlVfZdS4vNtZPDg1NdtM6s+rKaXz5p1Jxs3\n/oHBg2HfPvjqK7jsMti7tz379q3hySdDfX/yyd/y+OP17NwJZ840c/PN5Y4EplWm4ezZBdx2m8pV\n3UhamgzeS58WDeHPbni/4Xg+9BjNXhYzXm+2qq6spsfqHoZxFclkYJbhtrXDVpqnNRvOPZl/Mmz8\nXsy2Xiu4AjgAveBZt2414KegoBNPPXWORx9tx913h3gBtDY8A7vWhCYqyjN5881Qem4wfOdjlEho\nNfrhoPJPTVdntrlY6P66nIZ1n8CmLd25Nisn2N9z5z7mwIFPDCm/Tp2OZhEHt91WGyS1DyUeQHFx\nmmOy+5aGx7OVrVs7smfP+WC4XGVlGtu2LcPv93P77bWMHq046dSsszVrmhg+vDqs7zNmnKW4WDmv\nd2+YONG5wNQee+aZhVxzzSikrGBswIygLx4QKS06WADA4VixpE6NkkbSTEAHGdZ0aL6kOXTPJPIA\nm6G12IBdARyA3nkixGkmTvTT3NwYECz+YN0uO0cSmGs3lQcrg0UD6/x1phqBd6M3KUHuVWOhCpji\ny+Gll4qCxwsK1pKR8YamvflRsZfZRRyoNc2iqVIRL3dwrMjJmURGxhthvBD//d+NVFXtYd2635OZ\nGe6kA2jfvolNmzI4dkxJKTx8uJzGxlpOn+7AyJFVjBjhjEdC5QBW+6yOw8LCzvzgB+E1CqMtHpCs\nGmzfVqRqfNnBFcAYox2k9BvYsMaPh7y8TI4ezQ1qveoEcBL61H9Qf7yDAzYv1Tus41xtaGxICJm1\nk4lnxaylFil1EpFgF3FQULCW9HSP4y03GBfBZE8WdUL6/ec4eTL0/qSUVFQowjbEuZsfpIEEhQNE\nXxxUDalLS/uUPXtgzx44fjyTrKxcy5hffZ/Vcfif/1nLnj2wd69ynpLRN4KcnOmG5+73+7n11ols\n2LA9LIU+rgiDBPIBW1JcauAtS47yAebk+tHGcScLrgAm5HH+059gxIhS3nprEdddZ2TDsqoZl5RS\nJ5rSMJ5znuDg9JZ5I04MJwPWillLLVIab8VYj2cbx49nsX59z+AxrXasF676RdDv9ycs/toKegJ0\nFUbO3XWGRfbo0Wouv7x7mFBVn6lWk965s4mysktMC2WaLfzqO7nzznaUlCjaLkC3btbcEEuXLqBD\nh09j4v8FTRrwQc3BapRSRQOivpwBQYpLGzSI+JQPOzrW226YbiDXV+O4U402L4DVSZCV1UBVFfj9\n5xgzpgKfDxoaFA2ktlbQuXM2PXv2TqyDyE6QNhFMQ66hJljMUzVjxAu9QKmqOsnZs2X07WtuZokW\nkbRjvaarTVkeOXI3r7/+KAsWRE/k7hRWMblWnA1OyIDMdkJHjpxAysKItJnZ2V8EiP5DhTgrKow0\nn3qoIXJLlkRXBUOLYBqwHg6Sg5wU1wxzCFYTnv2ZIFj5RuQBybp1XxjI9dU47lSjzQvgcPJtePRR\nOH1a4vcPoL7+K/r1G8Hll/eOyExlBu3gDMuN1wSpa6vJeqU34lYto2NGsH6XFtHa9fR90Za/WR+o\nWZeMiAQzrW/37tfYtq0fCxaEhN7GjRWA+SKQCFueVQJIPGRAZnUFlSy/C6aVVbSC3u9vMBD9O7mv\nNkQu1ioYVmhf1R5vg9c2c86JUzjMIagt+tkUKpnl7Rh57MeCuhOnGHmTz0Cun6yFPVq0OQGsGBP8\nAgAAIABJREFUn7wKL+wgxozxIoSfW25px+efZ9HQ8E2QbPyll4pielFhg/Og5gs1xt8HOeSEVceI\ntFXLGpKVlHCdRJlRtM93y5YtBjubudZXy/LldcFzhICpU6VlynS86eF2zGROU5mdcAlYCXkpJQ88\ncCdXX/1FUOD6fMZstkjVNp5++hE2bfotTzyhHBs/PnYt2ACfEqVQOa0yIWToQb/EAOPxVc+tcjT2\no4aEtPojNDcbzYkqz3Sqo3LanAAOeZnHBPLq/19++tMdTJigrI4TJ/r5/PMmbr65JjHpsSr/bnsM\nWm91ZXWQDBvCnWeec56kaATJgpb9TOvo0J9jpfVNmiRYuTKbjAyC3MEZGYo5RC+8Yq0zp8JOy03k\nQmQl5AsL86muLmTHjqEcOdIXgPR0GDAgMgewtg+ff/4iQ4c2GkLhEqkFJwqpSDlO98GtM86amhPP\nnu1ASUnLxpuboU0JYO3kXbFCyavPy2tKijNKSqUoZ7oM8O/2DRGjmJXzhvBBGiRs/5ZAXdgUU0Jt\n0G6qP0dLTVlcHNoWqjbPwYPHc/JkqBLw+vXhmmAiuCPipbyEyHGk1kJeCfX75S8v8O673SLaeM2g\njuNf/rKRxYvbsXx5V801JO3a/TOq65liMLaMZrHSTlpBq3x4y7w0iAbl/3FwR3Q5Df93SyY5I3Lo\n2FGye7eP73xnEP36jU6O4zwGtCkBrE4KUPPqpSFA3qkzKpIdsrAwnyG9jyEOwoIn4GCUteG+TTGc\n2oVNNSWYPTOt4Dt69KQpqX129oKwiASz+0QTW2yGlph8VkK+rOztuBcQrXC/445OZGe/FZcmp441\nzz5d5pyNdIibdlIHg/IRMN1ZFarVw3S+9FaOv/TcKgoK1nLixAN8//vOa/q1BNqMANZO3p07Ydo0\naRogn5f3EPv2wcmTZaxebV1Rwc4Oqd5r0vV+xjUpwuWuqfDsvnB6QDs7YqulCzSBViBMmSJ5/nl4\n6KF6Vqx4LEw4agWfHam9VUp0vNUyEolINmAzIa865bR8ENEuIE4XIavohMqDlfQf1N9wXF3YwzLT\nnGi2NgUFWhJ288XMbGXmn0gF2owA1mq/O3fCz39OkOZvzZrQAHZSUSGSHVIfWQEweTx8+LdM0sll\neP/Wp8XGCr1AEEKtyAuDBh2wFI6RtFCzpAx9woR6/2RzRyQqgyoRC4jdNbTx1VbRCd33dQ8lBGnh\nC9ciqyur6RGIF7MVpjr+XivzWiphZrbS+ydShTYjgNUtoVrPrbjYT1WVIiiiDUOys0Nq44r1ntcf\n3RqeyJGKFVgVJgsXPmPLbewUZnbdhx6Cxx/vRE7O2JgcHVZJGfqEiZaC2W5H++60PNCLFi2zfJ7W\ntueP8Xh2OnoXdvZrLbFSLLDTIvUadTBxI1DJJREIsysf1HwRxz2klOTnr6Bjx3pGjQqP624NaDMC\nWFvP7euve7F3r4fFi2vJy8tk5Mgcx2nFZlvAd95ZHpxAWpLspCdyxABVmOTlNbF376qIoVyRtD8r\nu+6sWU1897u/ipphTW1jSyZl2MFut6ON/CgpeZnqaklu7jjL52lllnjggTtoaNjkKKzOauegmjdC\n8dXpUfbUHpZkPTFUcrEyj3jLvFTOqjSaPuKoFlNYmE/Hjh6qqpSdrz6qJtVoMwJYxeLFL1BQsJZB\ng+7TpBeHbMBOtsZ6DTktzUNJyW4++GBsqMLCsf00XFA8uVJCzckaerTvw/CMs8FrtXRdKlWYzJ1b\ny1NP/ZYlS85GFGqRYm711Y/VcL7x45tYvvyxqBnWzBY4u6SMZMNqt1NUVERd3SlN5EcDK1fC2rXL\no1okCgrWUlGxgSef9Me1wOjb+cXGQRBj1WsIH5vBVGUzm/BJaJ/fPvjxs3afRSx5ZGceMUM81WJK\nSrZSXp7O4sWNQS4XgLKyP7oCOBWI15Ou15DDiVtCKavG6rE1wDHwhTQAlXNVRbJLtKiTtLjYnttY\nhV77Kyn5zHKLbbYwKTbg6BjWzK5jl5SRDGjNNFa7nQkTphsiP8aNg4oK5wH+ap2+W27xx+VQNBvT\nazcEigKojymQgVZXX2d1GUvsP77fyCusog9hzH4NNERM3PAeMOczqW+oNz1fdepp+a9VRJozubmT\n6Nz5DQOXi0vIniI4dWJYTXC9hmxG3BJpAgU1AP0gTCInqrbG2Ouvh5yDdguQ9lllZXn4xz9KLbfY\nHs829u0bxPbtZWRmqtEjV7FuXXRhV9oFrqrqpG1SRrKgNdNY7Xaam0PfhRYI+OyzRtauXR6xfiAo\nY0fL+RtrWJ3ZmNYXBfDUKcVgmz9udhS1kMydWUNjg+lxv/SbHvfs84TME3rYzBk7Zas1REBAGxTA\nTp0YTjUYqxfc2qDVfvXOQbMFCAjr27hx59m503qLbRY98s47XZHydFRhV/pQNZWfAoxJGcmAVuvX\nx4iru51Fi1QTjvpsQoVOc3Ph0KES8vJ+bWtjV7VfNRwSYg+rsxrTP7g+lFUXTOz5FkQt6FFzrsZS\nO7aD2cKUnf0Fc+bcacpOlwq0OQHs1InhRAux06YdIYGcq5GgTtK9eytIT69jyxYASceOmVxxxVWG\nBUhbxRiUvtltsdUSTiqEgJMndzF5cvuYBUwqspW07/R736uhrKxXcLKqu53iYhg2LLxG3LXXwsMP\np5GZeYGzZ7sGyhVZj6XCwnzS0w+acP4aY84jIRnPyeCf6EB4JZfqwL+9E3fPdrSDfIWDIgy9wX/C\nXDu2gx073bJlT7Fw4ZJ4mxw32pwAtkIsKa4K5+1oCgoOcs01g9EStTvCbsLCbVTe32TYgiNNUv0C\nNGTI+MDgBa+3hH79lEoQnTo1kp9vFCrr1q1GCMnKlSODHLZff72H7dvTOXbsKg4f9nHllYMticmj\nRTKqG5hxVZw+/T4ffJDPrFk/DH735z/D4cOwbFkmvXsP4MQJL337jqBTp9MsXnycl1/uhd+v7I2t\nxpLHs40rrpgY1nY7zt+U4wYU08W0wOfNmuNRIkNmULPZaFPuldGLBtFAzTQTe3N+9PexY6dbvvzP\nPPLI4ynXgl0BjMKp+uyzv2Tp0ugcc2pExcmTDzBjRjhR++GH51qmEgdDcDIJDWg0vL8tXB8LoLBw\nLcOG7TKkBBcUrOXKK+8LIxkvLjbGPgtxml/9qpl33zVy2BYUrGXNmgeYPj1xNeGSUT3DLKb5wQf9\nvPLKo2E7grvvVs4vLm5m06YLLFzo55VXLnDbbWcQAnr0KKemBlvHYasUshpoIyC8B7x039eduvo6\nmjcHtNNTgB9YD+397enauSug0KUOn2AfrZCVnUXlYKM9N8uXpURbJAna93vTTYdaRSiaK4BROFX7\n9v2aF16Af//3yFtlvZfczGxhp8GOmDoiNKAx1oZraUgpA7SQF4DQAjRz5h28/vpzDBliX0zSSWJK\nPOxlZu014xSOt3qGumX1eE6xf/9ebrtNIIRk7Fgf69f/ni5dwrezp0+fJD19P0KECJykhNpamD8f\nVq5U7MKtIe7UCbeIWXyuZ5/Hmqw9oDxM8k2Kyo5s1xYrAdxOtGOSb5L5tRwgUTwiiYaQUqbs5pEg\nhJDJbp+Uku9//zJuvLGSbdsgLS2bAQP6IqX5dlDlcq2v/ydXX/0zunR5ndGj6yku7kx29juOJlkw\nRG09cIfx+ym+KS3qGCkoeI8vvribiRNDdrbi4s7U1/+cvXtXBTLQzPsV2tZ9GtQc3333Ot58cwdb\ntmyhru5UoDJydM/Ivr1rg9fcuTODHTsGMH/+l8H7xjOhlPc7ntraz5g3D0Of1Gtv3ryZd99dGNbv\n116DMWPA74cJE2DrVvB4RnLppb04cKCBgoLPUr7ltUNY6KTqn9CaHVR8DO1PhGu9WUOyEmI6u3Ty\npVTeZNSO+2/sz9cffR3zdbVjBsDjgaamxIxHJwiYJw0vP07W5m8/CgvzufnmmmAKrZRNvPjiZl5+\neYvpNrGg4D1KS/9Cbm4dmzb9NszDn5+/gkQsGJ59ii1Y/Zv78Ny4r2mH9etXU1wsWb0aXnlF8Oab\nIzl8eAz//OcafvazWtt+2TkiVa0j1mekko5rz9dfU8spHJUD1AJq5pTKhKfvk4pPPvnI0O9rrxVs\n2NCJ8eOVY9dfD926ZTJ9+nwyM73BZ6Lv07cOTdD8w2ZqZtZQM7OGypsq2TJ4i2l2W7S4dcKtTPFN\nMfzdOuHWuK7r8Wzj0KExrF8/hTffHMmaNQKPZxAlJQ79NUlCmzZBmPE2jB5dwQcf5DN79o9Mz//N\nb37FkCHw/vtwyy1nTSep4xW1h/nhmk414UkcSY4PlvI08+eHkw/dfPMvGDjw/oj9sgvry8m5Pi7y\nGbMMOjtO4Xi3lep4SEtrjFjVuLm5mkOHjB72WbO8Yf3NyvKEpVK3RLHRhKCFonP0iFWDjlSbTp+x\nuWKFkWQrFWhTAljrOQd44IE7uPrqcNayiRMVp8usWT80TOKCgvfIyKhk3jxYtgw++gg++kiZoBBe\nqt4RdFR+7avaKyE4LfhWrDTYp5+ey7PPRraX2TmTlDjeyOxlZhENVrZjJ5zCsdpbzaoaFxcbS88/\n88xCFi163vAs8vIe5KOPjuL11gYXiGPHBJmZvmDbUslrcTHDSW06iC3aKZloUwJYq1FJKfF6P+DY\nsX5MnfpV2CQeO9ZnSsD+m9/8itmzlXNuvBH+9jeYNauJkSNj9O4PIEzT6PphV/MQnCTCTIM9eLCc\nvn2PxZ0gMGnS7Uyd6qy8jp2mq713NJzC0cJKm29o+DiMbGn37tdYtizDEEeakzOJjIw3wgT4tm2N\npKWFNPRYeC2SEXIXEaoNuEOocKaKRJTLclJNOZprOKnMoXXEeTytwxHXZgSwVqN6553lCCF4+ukL\nLFlygcrKSYZJ3NwcPokLCtaSkVEZTBsdNw42bYIdOwZy/nx0E171Ams5V4GkVYa1g5mTccqUSxk8\nWIlzjVm7dwgzTRdw5LFetOj5qARTJEFmpc2rYXQffDBGw/9gjCPVp2MfPw4ZGTKsukosvBaq0J8z\nxxt1Blc0gs6UD3iA8Vyn5bLs7u1UY7WDZdFbC7QmQn8VbUYAax9+WpqHoUOVt9Cz52mmT5/PLbcY\nbb5arFu3msmT24VpypMnt6O8/KqoYzqtVvhEVIaNV7MoLMzn9ttrGT3auP2OFk7y7c00XbMsPLOJ\nYsWyZiVoY6mmrF0gXnnlUSZOPGoZR6pPx/7jH+HQoa6kp+fy5punYuK10N5/yZL3KSzMjzhW9Zqh\naRiZiaBzqnk6LZcVi5BVHdDaayYqKUm/w/H5WobQ3w5tQgBrtx5SQlVVI2PHKoHyaWlNvPbaQmbP\nNtp8tbjqquFUVtYZNOWrrhoW8f5OhaLdwHZ6jXg0i5aOlbS6n5qFd+gQ7N7t45prlL2ldqLYxReb\nCVqr853U9lMXg0jFWtVKKH/6k5Kscc89oUWspGRrTLwW2vvPnu13NFaj1QyjRTIZ+5LpgG6NyS9t\nQgBrB/FnnynaBygCeN48WL68IqJmEc/LsxKK1Tuqwz7bDWwjvWUAdgM0QEEIoTRnsNYq4tmimQmy\nSHzHVvfTZuGdOGHMMtT/1knZeqvzndT2UxeIiRP9QdKd0lLjs/F4trFr1yD8/v2sXJnF5Zf3CQrZ\nWMaP/v7jxkFRUeSxmgjo310ibLZJhcahrTK8gXWiRktzcVshZQJYCFEEXAdcQGEtPSqlzE7GvbRb\njz17yklPr+Ovf21k1qwGhIBJkwT5+asdDWo1jlMIEbdTpPxwedzbLXXLZvrbJoJB9ME0Z7AU2k7K\ntSdye293v1mz7rStRGGlqZsJWvVa+vNnzrwjYm0//QKRk9OOlStHIGUal1/ePezZqCaIe+81T8mO\nFlbcyE604EQjETbbpELDSfFtYHhTkUoNWAL/JqV8O9k3siLlmDjxU0DRbCoqTgU4DawHtVo+5vDh\nv9Ozp4g7lvNs37Nxb7eCW7YETAQnWlo02/tIGobd/QoK1lqGC5kJpqwsT5D8XS9o/X6/qaadl/dr\n25AkqwUiJ8ecMEfbLpX28He/y4+59p7eqafcH9LTDybdcZRs7VBvbvPs8yik71FIJKe2aDNMmTKF\np59+pGUjS0yQahNESnoe61a7oGAt5eXv06+fZN48Uh7CkmhEsodGu72Ppx1WGuuzzz6KlOcMTG3H\nj3fE633b9L2uW/d7MjONgtTjWcOTT1rbu6MxG1gxqS1duoCysjdiWqwXL37BwIkM0L27dF7sNMqt\neSJhJyD1uzVLE5sN4jF9xLJjSwZSLYCfFUIsA7zAYilldG8gRjjZauuhEmiPGCEZNkyrdcUhbKoj\nnxIttIM+2njNSIMymu39rFl3smXLlpg0KasFUiU5V6sja5naioub+etf99G1q/peJYcP+7jiisFc\nddUwgzDdsOE9Dh36cfBzpMVDvzjpbYhWTGqLF69k6dLzrFkT22Idi+1YOwa8jd5gBYoMmWH5G72N\nt7qymh79e5ibthz6FqIRkE612UTYov1+P4888jNefrk25veSKKRSAP8a2As0AvcAG4QQ10opw17D\n/fffz6BBgwDo0aMHOTk5wYGv1nWK9rM6qM2+104s7fcFBWs5daqcs2fhx4F527HjeV599bHgC7S6\nnzbuF+Bg9UFlu1VPGCl7dWW15f2H9xtO9Y5qyg+Xc7ZvoLBnNUqpuc3KRMj5vqLd9Ojfg8qDlTSd\naQonfdcNcO31pZSsXPk406fXBvl+tyis7brvQ4J2+fLH+OKL3UHB4wkQWamC7Msvj8T0ftQFcvt2\nZfEYMKAHUkqKit7iJz9R2jdz5h2G9rzzjo9LL/1XFi5cQkHBWp5//l8ZN25OMGFCe79161Zz+rSf\nJ54YSE7OIACOHPkmrFij9vzCwnw2bnyZdu0yTK+nOOCGsn27AC4wevQ+Skv9jBhxnuJi5ZksW/YU\nEyZMiXv8RvqsCqKioiIeXPYgpTeVAlDjq1HCHAcDvvDf7z++P+Qj0CQ0VJdqtAR1/Ki+BV/AtxDQ\nXKt3WI/fSJ9XPbfK8nsVRUVFfFb6GaUTSsPbY9Ifu/tt2bKBnj2r+POfIT09pEQl8n0UFRWxevVq\ngKD8MkOrYUMTQnwIFEgpV2qOJZ0NzQmklMyePZzLLy9n2LBQFAXAp5+m853v/CEqLdhqu6VnQbOk\nB+xaE3I6mLFVoWQv1XStCWoqwePnuvO/pvyvMG1BZXi7+uq/M2ZMgylrmZ5NChTGtLKyaXTpUosQ\nSg2348f30bfvCEaMmM7ixS9EncVldb72/ipTm8pEp+LTT2HLlqEUFHj56U8ncu+9n5oypGkZ3LTf\nW93b6nyr9uvZ4V57DX7+c1izxrwt2vR4q/vHmgnndKxFOm/uw3PZULSBBtGg0Khqq1Z0AG5oGRY/\np/2xgt/v58Ybu7FkyVnb95JoWLGhpdoEoYW2hmvL3dRm0qnHCwrWcvx4BWfOKJUQNm2CpiZo3z6D\njIxLuHAhtkw4LbxlXrzp3rCoCNMg+sGB1FCfou3amhlMqhXk+HIMW7XCwrVUVb1vG+NqZbYZPHhY\nUNDOmTOBhQv9YSQn0dra7Jx8WjPHkiVryMkxFu88daqCpUsX2NqkCwvzGTHCYzAjWbU1Ghu3mflk\n7FiCWrBdMom2JJSThBM9kpmyvOq5VdZ22s3GQ5GQqrC2pUsXBCuC272XlkJKBLAQojtKCNoWFB3t\nbhRx8auWbovdpFOPr1u3miuuaEeHDlnBcjtWfMFOoN0iqtsXdXCHZcIdNP99zohQmI3TtFArqGTs\nDz4YinE1EzSR+mkmpDp3viQqMnYnTj5Q2nfbbbVkZ/+SWbPuZM6cCfziF0qKb12dZM2al/jtbxUN\nTb+YhIT5eUApNmoXkmblEOzc+RKmTZsW1vZnnlkYdBBu3VpBY2Mtqk5x/nxXRo68yjaZREppeX8n\nzzChjqUk1yuMO6xNY4cGZ+W8pJRs3/7fPPKIYi4bOxby8jIZOTInZdlwqdKA04A8IAtoBvYBt0sp\nv2ypBqgTprx8c8RBD9Ky3M63AjZOk9tumM7Ysb5gjOuyZZch5Vf07eu8OKSVkBo69PumTjsrLc1K\n04xUyfrqq3cDSmLNuHFw4UIzf/oT/O//bVxMtNovhJypViFpVg7BTz75KEwAq8JPdRA6gfbaWVke\nfD5pe/9ITsJEVx5p1WhCkV6BcV3TqYYtB7copDwPmzsACwvzmT79TNi7nDmzmezsX7WtVGQp5Slg\nXMQTk4jCwnxKSl6md+9m20FvNTESgRbLxLFIyJAHJOvWfcG99yqjeOJEP//4xzc8/rifNWvsuVK1\n210rIbVp02kWLDDG5FrxN1hFUzihvNy+/RSjRpVRXCx56CF4+OH2ZGRcH1xQ1cXE49nK1q0d2bPn\nfNBGe/x4R+rrzUPSrIR/377VYZ+jFX7GLLfz7NyptEefKOIkNVz7Dq4a+jljZ32Hrv36BOu5gRIF\nkZWdBRijC0yjEHzOwtW6n1NMYlbnau3HKurq65QdXsB+rCoJWgVBbZdZur7nXCBuWOf/qKGG/T5z\nYniXC6KVQB388+Y1sHKl/aA3mxitSbuwCt+p7FQZ0U5cd+IUV3/vYJjgnDHjrCO7mHa7ayaktPXS\n1Gvb8eGalbXXpxibac5a+3OHDjJoQrn9dklOznwDsb4ZZeSnnzbi8ykmiT/+UeFxUO/tNDkl2jho\ns0Vr3LiQFq9PFDF7JioMKdMTmvjDlr18PogwM4Jdhlgi7K77j+9n7sNzDdfaf3w/lRmVps7ioP04\noCSEZWyCYWyr1556/1S2HIzO9Gb2LkOmI/skrGShTQpg7TbUyaDXn5MoLThiProJFyuEayVOJo6V\nnbj5bI2mqoMMJjVkZMBddxltp1pvvVbje/PNHUC4Bz8v7yF27erA+vU9g/fTCmX9czQra6/VTuzs\nmyoJjhNifbPF4tChcurq4NVXu9Pc7GXlyiwuu6y3rWakvrtYCYy07Th8uDxoLz5/vivHjg1FSonP\nt5HBgyPHq5sJ87umwrP74PwQyybYwmxshsWYq5lrQE3XmvBact8CqP1LdUJGmxPAWieMlFBRAV9+\n2ZWjR0cBhA16q4mRjC2LaWRErRfSE3qbMBxsrGNcRharnltlWn7eirRGSxeppZDUDuTFi18Im8Sq\nljpnjmLu0AoqALuy9pG2+CoJzpgxXiIR61tptKHwMaUNL71UZJkN+MwzC5k4cQYQe1ZlIpm59ItK\nqddDdXoNXZpjF8BmMHACR5m5ZgbVfGG1S9u6ayuXXncpWdmJKfqpRWuwm7c5AaxnRquqgmHDGk0Z\nt5INrYZhNrBMIyMgYVpGTaeaEG+sQ2Iclcxeq/Gpx+y4ICIV74wUNmb3vZqyW1nZJyKxvhWcmhHU\nhSgnZ2zE59ZS40kvzKfeP5XSOIVjS/kn1Igey13aJc1UUknl4Eq8H4TCNL0HvLSvbk/z5uaQHTkK\nqMlVqS5P1OYEsDphDh2CPXtKWLy4lry8dHbt+jhhDz+pJWQ+Bk9duKMCrOMn5z48F2+Zl/a72tPc\nThM8L4BeoY9OiXFUMnutINUesxrI2ueu5fhtaPgYn+8Tyy280y1+PBqlni/6yy/r2bNnueEeZhpT\nIjTZlJQc+haiQTSEtG6NbVsbFw9Gx6HZ821p7msrtDkBrE6YgoK1DBx4nyYUJcolVAd9VIATu5KZ\nnc1Q5+pg4At1lW+Cmpk1Rm3BQivef3w/lbNMqmxsDlwvgjatH6hCNLJpUybHjl2HWqqooqKEe+6p\nBay5ILTP/cSJB5g+fT6lpcV897uj6dz5DcstfKQtfiKEl9mu6JJLjDwf2vO0KazxQj9e4u1TPCxh\nKm655xbq0uuCn71lXhpEAxkdM8gakhUamw60z+H9hiu//7Ah7HhGxwyGTxgePMfzYciuHIQm1MwK\nGR3DOS72H98fFhNsNh+XLXuqVZQnanMCGJKz+qkvubBwTFx2pbAA9cGEYnhPoQjN6sC/MWy7YoFe\nAGqrPMyadScPPHAHs2Y1mw7kLl16hV1Lq0GuWLGQbt2OU14+2ZSpLBQ2Zr/FLyhYy1//+jzXXjvG\nMZ+zXrg52RXpx8zw4eeDnBnRvF/9/c206ngdQ7HYSfWZacWlxZy962zohIMEoxSCfBLYa5/aa6rh\nb+o5+jauem4V+++3SM6IkGnX0NhgmdRhZectL99Nly6pNR1BGxXAiS7OpxcsN930lSEeUwt1ADqy\ns2lieMPgMP3TW+Y1z6g74ez3kZIgvN4PuHBhGIcP9zF8r9+eq89dOaeCn/1M8u67p3jpJes8fLst\nvspQd+WVFxyTlJsJNye7Iv2Yyc2F5ubox4z+/nrbc2Fhvi0RfSTNONYUX0Nm2kFn/dFmZUa8pooW\njJSwsu2/+ebalmuEDdqkAHZSfjwarUYvWEaNUgiEwuIxtZdrwQHYIBpMBXj7/PZM8k2KuC2NFDXw\n9NMXHGUIajXInTth2rT4k1sKCtYiZYXjslJSSvLzV9C9ey1r1y43CDe7XVEinG16bcws0UK7gJsR\n0ZvxZGiFcmsQerFCNZ14D4QoNCGQQOLLsqwaXldfF1JINDvD1mLntUObFMCRy49H3vqpA3/hwmfI\nz19Bx471NDWFBAtEjsdMZV2qrp27xsVc5SRqQNs/7SK1c2coXjfWSaFqv+rzdlKqp7Awn44dPaY2\n3ki7Iv2YieXd6Z+ZPuZc6VdoAdeH6lnxZMRjrlA15jB/AygC22znlUSsem4Vcx+ea/rd8H7DlXL2\nPk2154C9uLlvczg7YABmiUZa81ibrgmXCtht4aKNCVQH/tKlF6ioKKZvX/j6a+jZEz79VNC5czZH\nTh6LGI+p3zI6dW6o8ZMqrDTZjI4ZplqD3nERDWLRLEIcv6cYPXpfWLxuLFqwqv2OVaLBIhasVLXf\n2tpG5s2DlSsbw7TgRIaTOfW6L1v2B4YPH83hw+0AOHr0JDfcsA8hpOHZmIXqmdXNC4MufXP2AAAf\nhElEQVQD4vSgxjw4/KccjarLCYOdBq/SYgbnS4QFIjzRSIH6TidNuj2BrY4dbUoAR8qmchoTqBXW\nDz30BufP+3niCXj66UwGDcqle3fo23cUR9qX2MZjTp06lSdWPxE+4HTOje3fbOcCFwy/zeiY4UiD\nzRqSZYwjDhyPFU5t6FoNQ9UglXjd3qxfr+UPdk78o2LdutXccIMIE1Z2xVVV7XfcuFB2Y0WFx1LD\nVSGlNK0dpmbBOS1QavbMbr75TBgRjPbZaO9/7tzHHDhgDNWT0m8Ys2GIsihrGDIJOX17ACcUs1Wf\nHn3Cxk5LlDaCUPHZoOZ7xvy89lXt6fphVzJkBuOmzuLl1lCx2QZtRgDbabjRanTa7bTfX0t2tsIr\nqjhuQgkd/9TF6kYD1bnROaszF9YbBXBNg/NSQ4lGNNqiXkipgs6KP9gO2mtdddVwKivrDMLqqquG\nmf62pGQr5eXp3H13I6BQEf7975HjvyMt2k4LlOqfmZI56KOh4WODM1CPgoK1ZGSEh+plZ3/BW28t\nYv58vVBOUOqkWgehN8Gd2CTfpKjMVokIh1MRLD6raurrzc9rvqSZmmk1przXrRFtRgDbabjRREVo\nhfWnn0LXrjB/vlr1oD6sxlSkAagvuaLH3Ifn0pjeCHcYv+v4YceIfVaTMFQ2LBXa+MtYoBUUdmad\noqIi6upOxU1yrv2Neq1oEyBycycZ4o0jxX/bLdqbN2+OyF08bNguPvggn9mzf2RorxoPPWpU5FhC\nswXvyJETjB37ZVh/hg3bxYnSyUzxTVF+F2VNQAN0W3zvAa8hAQisIyy0x7SmAzVO1+63yUYq/S9a\ntAkBHJ2HO1TM0Uyj02q/770HP/qRddWDeAfW/uP7w7PXYvi9WRJGIrUDOw3RSoDFYkOON28/Fhuv\n3SLxyScfGb6bOfMOXnnllzzyiNKv8eMvmBICRdsXs8UmL+8hvv46lHpdVXWSysp9XHllJwreLADi\nJ+vXwy7eVgvLUlr66i4mv3UMQXgopmoq+ZZJtG9Zc2NDNB5uNRLCihtCncjbtp0kI6OM8eOV42PH\nwmOPwcCBAx3bM6dOnQqrE9DBFCGSIDl79nRUJOdOS/3E4rSLVmO2WyQAvvzyQ8N3xcXbmTz567B+\njR5dEdSCrfoyZ86dvPnmuqgWFP0uZM6cCTz6qJ933z0VkVpRtaeCotX2L+sflijhPaCQQGX5wv0E\nXmkeBqaHqSPtYOQ+gdFsEbT56iVVd8I1dF1tRM8+jyk1porWoP1CGxHATrUfJ5qJOvB/8pPZBvat\nmTPbUV4+JKrJbmemMAuoV1FXX2c7wJIJ1exw7bWjTYWi6rg6cGCLqQCLVhvVC8NRo+p57LH5zJx5\nB+3atTNtW7y8Ck7Jg9TvsrO/YO1aLyNGwObNneje/TyZmZIzZyQHDryNx1McRuWpfS7vv/9+xBhm\nO2i5lLXvwUqYhdFHDnZe0HLq/VNNHbqJhH48W7GuBVnU9nmoOV8D5wnTiGvO1bChaENS25oItAkB\n7FQgqryyf/qTMqHstKxonUBmKCoqshWgU++falmmtPmSZlsBnUwUFubzxRcr+fzzSw1OIDWVdvPm\nlxk61DxF2akNWXs/rcArLoZ+/b4mL+9hHn98heHcRBSwtFskAHbtGsrhwyGu4yNHTvCDH3zJhAmw\nbVsjaWmSceOU37zyypd88cVHBipP9bnMnu13nMln1o/XX3+Uzp2b2LkTxo4NvQenwsxMW2wtNlJL\nBWXK8GDc8BsFb8BdxnNO55+2vG5r6V+bEMBOoGpZWVkNVFWBlA22uf5OhbpdauiPZ/448gV6oXh8\ne+iOa96c1T28B7zG+M4AYtUU1ec0alQdzc0VBgGrptIOHXqOkpIMOnWagLqKWJGJRxKYWmEopQzy\nNSxbtgYplxuiWRJRwDLS+zXjOh4/PlTaSVvgdPToCtLS/OTnr2DIkPHBvmirOaenH4wpI1CbDaje\nc+TI3dz245upTQ9nsfHs8yjxvTq/n5aW1A5Wae3eBm9Ubda3STWHVB6spP+g/oZz7Bx1q55bxVsf\nvkUzRl+JH7/lfa3CC1sargAOQF9V4bXXYNw4ey3YCewCyyOtwGq0hKfOQ800o+3N86EyeL1lXlNn\nW/+y/kzxTQkyWanwdvQyZtZ3GJD+ZdQZVKo2+uWXcOKEpKxsJJdcEqpgsWfP23znO7sZPRqGDRNh\nYXl6OBWYehu9ytdw881nLKNZkl3AMhLXcU5OO1auHEFGBpw9W0bfvkqbsrMXMHv2i/j9fmbOHMAj\njyiZfFI2xdQWbTy0es/LLuvNkWP7KL3pWPjJg3HMIWI6NtMxT37Y6OCCHQgpEqrDjPBqGt33dcc7\n2ESYJziNWkrJO++8REPDppRVwlDRLvIpbQMezza2bx9Ebm674AT65JNBlJRsjeu6Ukq6fkIorjIK\nrHpuFUWriwwliVSosZFa4apFVnYWRauLyMrOomZmTfCv8sZKGvx7efBXF8jPV8qhO+2Lov3Wc/fd\nMH++JC1N4YF46aWiQBWJ04waFTJL2F3fTGA6vb/++nbfxXvfSPB4tnHo0BjWr58S/Dt+fBI5OTfT\noUNX+vSR3HVXeJuWLl1gcNhF2xbF2XaaCRMUTW/iRD/duinVPHoMGRpXn8xgSN75GNisREdMvX9q\n8K/yYCVTfFOY4ptC9w+7K0K/CSWmeBqK8J0W+GsBRj89CgrWUlGxgZ/9rDaq8Z8MuBpwAIsWPc+c\nORPCBnNFRTdHCQJ28H7hYUg72HcAGq/SHD/gjd8OFaCmtCIjsUK6D+6eGn0acKToBf33paXO4qnB\nWSiaXeFOM9uqkwKWsXJRaN+dXQLFkSOvU1WlrymYz8aNf2DwYPj440yysnJRuZWjyQi0ex9WaF8V\nqCKhhYkUcDQ2LQppTiHk1DOYx3wJiE/WoZ1oZ2qCaCeM+qVqM8/O9sccUZNIuAI4gERTVILysrs3\n1TIsC+r3Q/kQgk41LdtTJArBYCluDQEJ1QSzlMIGX6QtpoQhlXDD/crHaASQlWPqo4+WmUY3HD1a\nzeWXd7eNp47medsV7gQcRVbE+571NeG0x/T2RDX7bvHiRvLyMjl6NBeAsrK3uf32WkaPDnErx8I3\nsWrVcwwaZO0otISZGSFJbGl62+3ch+cqtmj9OI1DEvXq1IvKzUYTXK9OvQzHVJv5iBHK51QzpLV5\nAaxOHr//HCdPJpaguaBgLYMuk8ybB8ueg8M6LVjVMAx24gCJimefh/33hwRzRseMkC1YrWgRJbTa\nL0QngMw0vRCDnLMS7ioihaKZEZdrC3f26XMdixYtMyQ46H+jLzleUrKVTZt6cejQmDDnndP3rDrv\nrr12TNCJY5WSfODAwSBZvZqmPmvWncyZMyHMVBKLACgszKdzZy8zZrxt2m6rNPjm9s0G4df9XHeG\nTwnPjExWhMD+4/vNEzIc2qbNcOvUWy0VGC20DHq5ylqYci24zQtgdfLce+/bzJ79YlzX0goAgNdf\nf5SbblJe8o3T4MAfoHwnkA71/vqg99fgnbbY2ulTirVsVyraV7Wnzwd9glVk9eh8Cn7/HuR/Aj3P\nd+farJy4WL9idWZFEtZ2xOVZWR7+8Y9ScnPH2UZUmAnG3NxJ7NnzVkxFWM0qephVQAH4yU9+wIED\nBfzrvyomLVXQ+v3+uHdaZrzCzz77aJgGbha+5dnnoaZXjWHhdpoZaYgrTqApofu57vTv1D+M4S/s\nvjawa7t2ThYW5pOefpA9e2DvXuX72lpBRkb0ZFCJQpsWwPqBXFLymUGrigbaCe/3+w10iZs2w+GT\n0HgbXOACW3xbFM+0Q+90hswIDlDPuYA5QredbKaZLF9WWGC9duLU+k9y+RVevmrMYvi11/NSYPDG\nEpZTWLiWYcN2WQqRWG3ckYjLx407z86dhNFJWv1GLxijXTD0E1hNQz91qpwFC2DFioXccMOhsGfg\n9/spLX2fe+4J32kMG7aLdet+b1uCyQnMeIX37l0VttDYVdl2ArN3ZxpXrCoIGmVg+9fb6TFeCXNQ\na8iBvSC1q6wRD7Rz0uPZxhVXTEQIwdGj1QwY0INu3SR9+45KSHHVWNCmBbATrcop9AJAyl5GusTr\nYdfvlfJuscAq2iESVmmE7Jw5E7j3XmUb/1/L/it4TrTE3lLKABuXwtSWSFtaJOJyIYx0kna/sePU\ndU4ANCasooe6hfX7Kxg/PkSgvmzZfITI4MorYc8e+OQTQZcu2QABrgZ4+WVnQtAMZlmBTz31W5Ys\nOdvitkztwu6pC3E9XNh8IWgqC9aQg5jszLGWWALjnHzzzVDpKzcRI8XQD2QzrSoa6NNBy8qmUVk5\niV8v2UFjzwCdpAR/V82PLJIkrBCk5APFZBGlJLeKk43FlFBYuJYxY4yJGNprbtv2N6ZMmRJTooc2\nSmHJkjXk5Izh8GHwekvo10+pwNypUyP5+ealfZ588rc8/njo8zvvKAkbsRIAvfLKo0ycqLCUqxU9\ndu6EG28Mr4AyefLX/M//wIsvEojvlbz7biZSSsdcDXbQOxF37oSbbz6bcFumE+GkFYCJJv5R4bTE\nkpmgrj1+kh9O3m/6bFqD8IU2KIDNeAzAXKuK5pr6dNC9e5Vik9N+Mo2d2gFkYTLTVrhwZFu7gagc\nF3bhV7EQ3axfv5pvvpHs36/Y0Tp3zqZnz9589NEyZs68gzlzfkh9/T9jTvTQvpfbbqslO/uXSCm5\n8sr7GD06dH5xsbmGPGPGWYqLCRKwp6V5GDpURGV71bZl7FgfO3YMY8cOEazoceAANDTAjh3K9U6f\nFgwaJOmgmVWq6eHQIZEQIanPCty16zOWLj0HGBcVvVBSqUm1ZgFoOVL14L0SxBGshUFQS8j+GiYE\nyLJSHe1ghTYngNUt5YEDk+nSZQxbt/poaPiGfv3qgJBWFc2L2rDhPY4dK+eFF+D110PpoBGD6n0E\ntWCtDWzuw3ODta9UePZ5qOkau8PDTLANuWonY2ZeTVrDUZ59IrJmqC5eCxc+g5SnmT9fhml506f/\ngjVr5rB06QKqqt6nf39/1M8yEgeD2Xc+30YGDw4dP3y4nMbGWs6fz+TYMSUh4cCBck6cIPhZe10n\nBEDjxzfx5ZfdGDJkPJWVvXnllWrOnvXRuXMtQkBTE3z/+5IJE2DrVli+HPr1AynB52siO9tY5y0W\nQRCeFfge/fvfbbmoGISSOtZ8ke2tydqix0wepXM4qyWWrEwRkaJ9XBNEChC+1T7F9On/werV9zFo\nUDN33x06r7g4Oi3l9deXMWSIQhKjTQdtaPiYk/sPwCBCpDodgM2KxjuoxyB6BHIytRqAYwdKB0hb\nl0bnjM5hh73SayBXUQXbhn+UUq3GEks/x2rLmH+LcaCaUSSqi1deXpMpG9hbby3iF7+o5bHHVpKX\np5RpuuWW6NK5U+UMAXOHm/65qKnEzz77JGlpz/Hpp/DznysLr0pNev31ShLKffcpJoIRIxTBrL3O\nBx/kBxnSYtXIrHYhqfLoJxWa8kqgiRCysCt3OQ3rPoGNRd1o19ida65RVp/W9mzalADWTqpQSZcG\n8vIyWbdufExxoX6/n4aG/fz612pVDD8VFUo6aGFhPjuLX6XCpynKGQgB0moh6lZRX20goqPhBuj8\nYWdDXGUNNQYNWhVsU++fGlan7pKdykDdtEUJSQM4ffokFRUFYUJYu3jpi0lCqELDzp0wa9Z5hIDZ\nsyOTGrUkrOKE1c96j7ldnHJzczU7dw5izBgvxcX+IPEOhHNBVFfXkJ5ey5Yt7fH7a+jXbwQ9e/am\nrOxtzp79OGYuAiX9OnwXsmzZN/z+97sNFJ2xIFrtUGta8DZ4afhQcRg7jYJINKrGQhUw6pMBDOt3\nxBB22Bq0X2hDAli/pfT7G4JOJH0tN7MAfissXbqAGTPOBuyEoaoYKivYQw82c+KJTNLJDbvW8H7D\nw0qC21ULsCsthCSuWEx1oE7x5fDSS0XBSIkf/KCJ7dvfD5KJaxcvfTFJ9TfXXdfEihXw618r1x47\nNnGkRomAXZywvsKw1mNuhsWLXwgU0ezD3r0VpKfXsWULgKRjx0yuuOIqcnKU8KZQ9MmnvPuuwp3x\n059OZO7cWkteYyd90WvokyebU3S2BJLFSx3MAo0l5lhCWv0Rfvbr2EmXko02I4C1A1ZKRVD+27+F\nB8lr63ppJ6ZdKfvNm99kyRLl89ixkJeXyciROUFWMCHgR7eap5vmfD+H0gmlltUCVKo+K7Yz1WmX\nSJJsLSvcgw/6eeSR/4cZM35gy5+gPtviYrjhhpAmWFoaIjU6f36rYYFrSSrASHHCZhWG7RaMoqKi\nqHimzULk7HiNI0FfRkuNDvH53uWxx5bH/VyTYSONJaRMPR4pysLMuVd7/CS3fd88CsK1AbcwtAP2\n6NGTQU82hBvo9ZqQlH6bqrhrmT69NkwLUbXp/PzfxJ1uqoadGTLgkgQtJ7K6pb711vPceut4vve9\nMkuHhvpsVU1w2zYASU1NR0aNGklubnige7Qxx4mAXZywVYXhRGhMVnG7jz9ez+uvKwVdn3zydRYv\nfs5UC7ZarPQUnWp0SHFxrWVFDBUtaQrQwiqkzPNhKOU+1iKd+t+ou44JAY5mNwpCByFET+At4Gbg\nJPColPKPybqfdsAqW8femmoWkkOHfJw793FYsH5oYppvYcycILW1Z3j//Ye5/fbKiCFPPfrrWdaT\nD7tJqedEBsWh9Je/fM7BgzeE2Xy19tBoHGdaTfSdd5bj8eyMSROORou2Tl4wmqPAWYiaU+3JrJqH\nGiKnLnIzZpy11IIjLVZ24YXxmAUi9S+eBAk9wuLbLZxqlQcrTRWRyk7mu79IpEutQfuF1GrArwHn\ngD7AKKBQCOGRUpYl+8ZmJcLXrHmA3NxJ5Oeb24n1E9LMCbJiRSPnz5+isfECJSVZHD7cJ3iPeIl9\nrBCtlmM3OfLyHmLXrkGGWnc//CF4vT1Yvfr9uNurnRhpaR5KSnbHpAk70aJVIf3d7442FYLqZ58P\njh+XbN0Kffsmlh9A78zbs6ecjh3PcObMOZYuVRJ0xo/HUN1DbX+kBJlksPg5gdMEiUSh/6D+pmTt\nZtwREFsV7FQgJQJYCNEZuBMYKaVsALYJId4H7gUebcm2SCnJz19B9+61/O53C7n++mOO7cTagQ/g\n95fTsycsXkzQ2WKnnVVXViuxmYHQtNAXOC6xnUjnh9ax9MQTWxk40B98FqWlH+L3+6NyFuntbFpt\nTUqoqmpk3jyi3ho6zdxThXR5+eQw/gVVCK5dK7n++lGkp0NDQwkDB9Zyzz2huGY7LminNkQrBjmv\n9z6EUASw6tjUZhHaFT3VIlmCprXYSGNFNCWlUolUacDDgSYpZYXmWCkwuaUbUliYT8eOHqqq4JJL\nDrBjRxZHjvS1tRNr7Z4h7tuTXHbZXkaMUM7NyoqcUTeg5wB6+HrAAOVzkO83wPOrIqNjRkwsUbFg\n8eIXePLJ/2DGjI+CsasAO3Y0xe1h1y5an30WylJz8qysrhOJ8F2N+X7xxe1hjGHqrmfGDGOGXbK1\nSI9nG/v2DWL79jIyM6VB445U9NTKFuzi24dUCeCuGJNya4DMlmyEqv3W1iqa2MqVSkmXF1/czNNP\n/7vOTmxt95RS8sAD4zlzBg372fnIFR7+WBD2OcyuptnKDZ8Qm2MiVhQXb8Lv78bWrdp2S9q1+2dU\n19FrGOqidegQwcKa4OxZBVvhsKKFHWOY3tE6ePD4qLmg49Ge1Oorc+aEZxIuWvR8sH9WRU9bKpwv\nGdphGHmPtrhACqRQa9B+IXUCuA7opjvWDajVn3j//fczaNAgAHr06EFOTk7w4RUVFQHE/HnZsqc4\ndWpXMHSqVy/46qtdQXJxq9+rUD/X1Z2iY0cPvXqpoVfK9Tp02MWyZU+xcOESR+1RqyQnqn+xft6w\nocTye+3WLdrrT5p0O3A7dXWnGDjwPkpLAZTnNXLkbpYte4oJE6bYXm/Hji1BwerxKL9XBVOXLkoF\nhClTprBu3W+45pp6PJ4QOc9tt53l1VcfC3LylpZCerqHUaOU7LZE99fqc13dqeD99f0HgkVP9+zx\ns3nzQEaOHATAkSPfUFb2x7BQqkS0J9bPQSUhkOKML2BWC8BufM99eC6flX4GBJzRgd927dnV8vfR\n3i+Vn4uKili9ejVAUH6ZQaSiIF3ABlwFXK2aIYQQvweOSSkf1Zwnk9m+pUsfpKjoLRYvrg3aOvPy\nMpk69QEee8w5OXte3kMUFb1Henqd5qhSsHLMmH+x3Ca2FjtUsmDVv7y8hzhxYpfB4eSEl9XJb1Ub\n6+jR9cFzduyA9u2hXbvObNp0GQsWlAff+bvvXhcx8cJp35zAqg99+uTi833Cvfd+GlfbEoFI/Utk\nFIQTJPp+LT33ApmXhpeYEg1YSlkvhFgHPCWE+D9ALnAbMLEl25GbO4nOnd8wieONrtbP4sUvuLa4\nKBDPs3LyW6skhYwMuOuuejZuDLkeWnprD/ZFPPXjMdVFI63QkiaxVNyvpZASDRgMccCngIellH/W\nnZNUDTgeTczFtwNm2vC2be0oKRkRVtizNbxzdzxevLDSgFMmgJ0g2QLYxcUPV6i5aA1wBXArRFu1\nAV8MuJj7Bm7/Eg0rARw/b50LFy5cuIgJrgbswoULF0mGqwG7cOHCRSuDK4BTCH1ix8WGi7l/F3Pf\nwO1fS8EVwC5cuHCRIrg2YBcuXLhIMlwbsAsXLly0MrgCOIVoLXaoZOFi7t/F3Ddw+9dScAVwCuFR\n6bwuUlzM/buY+wZu/1oKrgBOIaqrqyOf9C3Gxdy/i7lv4PavpeAKYBcuXLhIEVwBnEIcPHgw1U1I\nKi7m/l3MfQO3fy2FVh+Gluo2uHDhwkUi8K1jQ3PhwoWLixmuCcKFCxcuUgRXALtw4cJFiuAKYBcu\nXLhIEVwB7MKFCxcpQqsWwEKIYUKIBiHEO6luS6IhhLhbCLFXCFEnhPhSCHF9qtuUKAghBgohCoUQ\nVUKIr4QQrwghWvVYs4IQYp4QYqcQ4pwQ4i3ddzcJIcoC73CjEOLKVLUzVlj1TwhxnRDi/wohTgsh\njgsh/iyE6J/KtsYCu/enOWeJEMIvhLixpdvX2ifFq8BnqW5EoiGEuBl4FrhPStkVmAwcSG2rEorX\ngONAPyAHmAL8W0pbFDuOAUuBN7UHhRC9gHxgEXAJ8DnwZ8OvWz9M+wf0BP4LGBj4qwPebtmmJQRW\n/QNACDEE+CHwVUs2SkWHVNzUCYQQdwPfAHuBoSluTqLxBPCUlHIngJTy69Q2J+EYDLwipbwAnBBC\n/A24OsVtiglSyr8ACCHGApdrvroT+P+klOsC3z8BnBJCDJdS7m/xhsYIq/5JKf+mPU8I8SpQ1KKN\nSwBs3p+KV4FfA6+3ZLtUtEoNWAjRDXgS+A/AELz8bUZgKz4G6BswPRwObNHTU922BOJF4B4hRIYQ\n4nJgJvBhituUaFwNlKofpJT1QAXf0oXGAaYAe1LdiERCCPEvwHn9YtOSaJUCGHgKeENKeSzVDUkC\n+gFpKNue61G26LnA4lQ2KsH4CEUQnQEOAzullO+ntkkJR1egRnesBshMQVuSCiHEd4HHgP9MdVsS\nBSFEF+Bp4FepbEerE8BCiBzgeyha1MWIhsC/L0spT0gpq4DngVkpbFPCIIQQwN+BtUBnoDdwiRDi\nuZQ2LPGoA7rpjnUDalPQlqRBCDEU+ACYL6Xcnur2JBBPAu9IKQ+nshGtTgCjbHUGAoeFEF+jrLo/\nEkIUp7ZZiYGUsho4mup2JBGXAAOAlVLKC1LKb1CcNzNT26yEYw/K7gUIalRXcRFt04UQA4F/AE9K\nKf871e1JMG4CfimE+DogZ64A/kcIsaAlG9EaBfB/oQzkHOBa4LdAATA9lY1KMN4G5gsh+gghegIP\nAhtS3KaEQEp5GvABPxdCtBdC9ADuA1oHA3aUCPShE9Ae6CCESBdCtAfWA1cLIe4I2O8fB0q/TQ44\nsO6fEOIyYCPwqpTyjdS2MnbYvL8bge+gyJhrUaIg5gIrW7SBUspW/QcsQdkqpLwtCexTh8CL/ibw\n4l8AOqa6XQns33eBzUAVcAIlPKt3qtsVY1+WAH6gWfP3eOC7G4Ey4CywCbgy1e1NVP8Cf80odvwz\nKKaVM6lubyLfn+68A8CNLd0+lw3NhQsXLlKE1miCcOHChYs2AVcAu3DhwkWK4ApgFy5cuEgRXAHs\nwoULFymCK4BduHDhIkVwBbALFy5cpAiuAHbhwoWLFMEVwC5cuHCRIrgC2IULFy5SBFcAu3DhwkWK\n4ApgFy5cuEgRXAHsok1BCNFZCLFWCFEthJgXOHavEGJUqtvmou3BJeNx0aYghHgSpXKFDxgLDAI+\nk1JerAUAXLRiuALYRZuCEKKHVEjxEUKMBmZIKZ/RfD8EWCylfCBVbXTRdtBqqyK7cJEMaITvzUC2\nTvj+AhiNUpHFhYukw7UBu2hzEELcA/STUr6sPS6lfBVYnZJGuWiTcAWwizYFIcR9QJ2Uco3m2LMp\nbJKLNgzXBOGizUAIcQdwO3BQCHE5Sqmde1HqDrpw0eJwBbCLNgEhRD8gS0p5pxBiMPAXoDewQEr5\n19S2zkVbhSuAXbQJSCmPA8sC//ehVMJ14SKlcG3ALlyEQwT+XLhIOlwB7MJFAEKI/wP8J3CNECJP\nCDEs1W1ycXHDTcRw4cKFixTB1YBduHDhIkVwBbALFy5cpAiuAHbhwoWLFMEVwC5cuHCRIrgC2IUL\nFy5SBFcAu3DhwkWK4ApgFy5cuEgRXAHswoULFynC/w9oRF7ulfE+eAAAAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f4483c0af60>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"Saving figure manifold_decision_boundary_plot3\n"
]
},
{
"data": {
"image/png": 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w/Dj6zHzPHrj1VvXvvn0trFvXitGjvzOduSuKEjTbHzpUYdkysNm8LFo0nVGj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\nXiEhIYKYib0zscDx/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h7gxdTU1ODIkSNC55Bdu3YhPz8f48ePD7ZpsrSHNRh/0548dEIa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\nSUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f448347f860>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"Saving figure manifold_decision_boundary_plot4\n"
]
},
{
"data": {
"image/png": 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wNVJSEg0IP07w5puvEBycwcMPO9IV9uol3mZUVDGzZ3/AX/5yjTfe+JqUlEQe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MWR/6eo06y4tRjyLWYELrUnwOb48rEes4NzSBS9iCUSamkGvZtG8bpiRTHPiCQt7M6YNYMXlr6g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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f44834680b8>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"from matplotlib import gridspec\n",
"\n",
"axes = [-11.5, 14, -2, 23, -12, 15]\n",
"\n",
"x2s = np.linspace(axes[2], axes[3], 10)\n",
"x3s = np.linspace(axes[4], axes[5], 10)\n",
"x2, x3 = np.meshgrid(x2s, x3s)\n",
"\n",
"fig = plt.figure(figsize=(6, 5))\n",
"ax = plt.subplot(111, projection='3d')\n",
"\n",
"positive_class = X[:, 0] > 5\n",
"X_pos = X[positive_class]\n",
"X_neg = X[~positive_class]\n",
"ax.view_init(10, -70)\n",
"ax.plot(X_neg[:, 0], X_neg[:, 1], X_neg[:, 2], \"y^\")\n",
"ax.plot_wireframe(5, x2, x3, alpha=0.5)\n",
"ax.plot(X_pos[:, 0], X_pos[:, 1], X_pos[:, 2], \"gs\")\n",
"ax.set_xlabel(\"$x_1$\", fontsize=18)\n",
"ax.set_ylabel(\"$x_2$\", fontsize=18)\n",
"ax.set_zlabel(\"$x_3$\", fontsize=18)\n",
"ax.set_xlim(axes[0:2])\n",
"ax.set_ylim(axes[2:4])\n",
"ax.set_zlim(axes[4:6])\n",
"\n",
"save_fig(\"manifold_decision_boundary_plot1\")\n",
"plt.show()\n",
"\n",
"fig = plt.figure(figsize=(5, 4))\n",
"ax = plt.subplot(111)\n",
"\n",
"plt.plot(t[positive_class], X[positive_class, 1], \"gs\")\n",
"plt.plot(t[~positive_class], X[~positive_class, 1], \"y^\")\n",
"plt.axis([4, 15, axes[2], axes[3]])\n",
"plt.xlabel(\"$z_1$\", fontsize=18)\n",
"plt.ylabel(\"$z_2$\", fontsize=18, rotation=0)\n",
"plt.grid(True)\n",
"\n",
"save_fig(\"manifold_decision_boundary_plot2\")\n",
"plt.show()\n",
"\n",
"fig = plt.figure(figsize=(6, 5))\n",
"ax = plt.subplot(111, projection='3d')\n",
"\n",
"positive_class = 2 * (t[:] - 4) > X[:, 1]\n",
"X_pos = X[positive_class]\n",
"X_neg = X[~positive_class]\n",
"ax.view_init(10, -70)\n",
"ax.plot(X_neg[:, 0], X_neg[:, 1], X_neg[:, 2], \"y^\")\n",
"ax.plot(X_pos[:, 0], X_pos[:, 1], X_pos[:, 2], \"gs\")\n",
"ax.set_xlabel(\"$x_1$\", fontsize=18)\n",
"ax.set_ylabel(\"$x_2$\", fontsize=18)\n",
"ax.set_zlabel(\"$x_3$\", fontsize=18)\n",
"ax.set_xlim(axes[0:2])\n",
"ax.set_ylim(axes[2:4])\n",
"ax.set_zlim(axes[4:6])\n",
"\n",
"save_fig(\"manifold_decision_boundary_plot3\")\n",
"plt.show()\n",
"\n",
"fig = plt.figure(figsize=(5, 4))\n",
"ax = plt.subplot(111)\n",
"\n",
"plt.plot(t[positive_class], X[positive_class, 1], \"gs\")\n",
"plt.plot(t[~positive_class], X[~positive_class, 1], \"y^\")\n",
"plt.plot([4, 15], [0, 22], \"b-\", linewidth=2)\n",
"plt.axis([4, 15, axes[2], axes[3]])\n",
"plt.xlabel(\"$z_1$\", fontsize=18)\n",
"plt.ylabel(\"$z_2$\", fontsize=18, rotation=0)\n",
"plt.grid(True)\n",
"\n",
"save_fig(\"manifold_decision_boundary_plot4\")\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {
"deletable": true,
"editable": true
},
"source": [
"# PCA"
]
},
{
"cell_type": "code",
"execution_count": 29,
"metadata": {
"collapsed": false,
"deletable": true,
"editable": true
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Saving figure pca_best_projection\n"
]
},
{
"data": {
"image/png": 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fv481az5BNRafBMrxGYjbIjk5mUcffbTdmi6kVSKRSLoTwZDBMQPRLbZFAw0t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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f4482fc9e80>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"angle = np.pi / 5\n",
"stretch = 5\n",
"m = 200\n",
"\n",
"rnd.seed(3)\n",
"X = rnd.randn(m, 2) / 10\n",
"X = X.dot(np.array([[stretch, 0],[0, 1]])) # stretch\n",
"X = X.dot([[np.cos(angle), np.sin(angle)], [-np.sin(angle), np.cos(angle)]]) # rotate\n",
"\n",
"u1 = np.array([np.cos(angle), np.sin(angle)])\n",
"u2 = np.array([np.cos(angle - 2 * np.pi/6), np.sin(angle - 2 * np.pi/6)])\n",
"u3 = np.array([np.cos(angle - np.pi/2), np.sin(angle - np.pi/2)])\n",
"\n",
"X_proj1 = X.dot(u1.reshape(-1, 1))\n",
"X_proj2 = X.dot(u2.reshape(-1, 1))\n",
"X_proj3 = X.dot(u3.reshape(-1, 1))\n",
"\n",
"plt.figure(figsize=(8,4))\n",
"plt.subplot2grid((3,2), (0, 0), rowspan=3)\n",
"plt.plot([-1.4, 1.4], [-1.4*u1[1]/u1[0], 1.4*u1[1]/u1[0]], \"k-\", linewidth=1)\n",
"plt.plot([-1.4, 1.4], [-1.4*u2[1]/u2[0], 1.4*u2[1]/u2[0]], \"k--\", linewidth=1)\n",
"plt.plot([-1.4, 1.4], [-1.4*u3[1]/u3[0], 1.4*u3[1]/u3[0]], \"k:\", linewidth=2)\n",
"plt.plot(X[:, 0], X[:, 1], \"bo\", alpha=0.5)\n",
"plt.axis([-1.4, 1.4, -1.4, 1.4])\n",
"plt.arrow(0, 0, u1[0], u1[1], head_width=0.1, linewidth=5, length_includes_head=True, head_length=0.1, fc='k', ec='k')\n",
"plt.arrow(0, 0, u3[0], u3[1], head_width=0.1, linewidth=5, length_includes_head=True, head_length=0.1, fc='k', ec='k')\n",
"plt.text(u1[0] + 0.1, u1[1] - 0.05, r\"$\\mathbf{c_1}$\", fontsize=22)\n",
"plt.text(u3[0] + 0.1, u3[1], r\"$\\mathbf{c_2}$\", fontsize=22)\n",
"plt.xlabel(\"$x_1$\", fontsize=18)\n",
"plt.ylabel(\"$x_2$\", fontsize=18, rotation=0)\n",
"plt.grid(True)\n",
"\n",
"plt.subplot2grid((3,2), (0, 1))\n",
"plt.plot([-2, 2], [0, 0], \"k-\", linewidth=1)\n",
"plt.plot(X_proj1[:, 0], np.zeros(m), \"bo\", alpha=0.3)\n",
"plt.gca().get_yaxis().set_ticks([])\n",
"plt.gca().get_xaxis().set_ticklabels([])\n",
"plt.axis([-2, 2, -1, 1])\n",
"plt.grid(True)\n",
"\n",
"plt.subplot2grid((3,2), (1, 1))\n",
"plt.plot([-2, 2], [0, 0], \"k--\", linewidth=1)\n",
"plt.plot(X_proj2[:, 0], np.zeros(m), \"bo\", alpha=0.3)\n",
"plt.gca().get_yaxis().set_ticks([])\n",
"plt.gca().get_xaxis().set_ticklabels([])\n",
"plt.axis([-2, 2, -1, 1])\n",
"plt.grid(True)\n",
"\n",
"plt.subplot2grid((3,2), (2, 1))\n",
"plt.plot([-2, 2], [0, 0], \"k:\", linewidth=2)\n",
"plt.plot(X_proj3[:, 0], np.zeros(m), \"bo\", alpha=0.3)\n",
"plt.gca().get_yaxis().set_ticks([])\n",
"plt.axis([-2, 2, -1, 1])\n",
"plt.xlabel(\"$z_1$\", fontsize=18)\n",
"plt.grid(True)\n",
"\n",
"save_fig(\"pca_best_projection\")\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {
"deletable": true,
"editable": true
},
"source": [
"# MNIST compression"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"collapsed": true,
"deletable": true,
"editable": true
},
"outputs": [],
"source": [
"from six.moves import urllib\n",
"from sklearn.datasets import fetch_mldata\n",
"try:\n",
" mnist = fetch_mldata('MNIST original')\n",
"except urllib.error.HTTPError as ex:\n",
" print(\"Could not download MNIST data from mldata.org, trying alternative...\")\n",
"\n",
" # Alternative method to load MNIST, if mldata.org is down\n",
" from scipy.io import loadmat\n",
" mnist_alternative_url = \"https://github.com/amplab/datascience-sp14/raw/master/lab7/mldata/mnist-original.mat\"\n",
" mnist_path = \"./mnist-original.mat\"\n",
" response = urllib.request.urlopen(mnist_alternative_url)\n",
" with open(mnist_path, \"wb\") as f:\n",
" content = response.read()\n",
" f.write(content)\n",
" mnist_raw = loadmat(mnist_path)\n",
" mnist = {\n",
" \"data\": mnist_raw[\"data\"].T,\n",
" \"target\": mnist_raw[\"label\"][0],\n",
" \"COL_NAMES\": [\"label\", \"data\"],\n",
" \"DESCR\": \"mldata.org dataset: mnist-original\",\n",
" }\n",
" print(\"Success!\")"
]
},
{
"cell_type": "code",
"execution_count": 30,
"metadata": {
"collapsed": true,
"deletable": true,
"editable": true
},
"outputs": [],
"source": [
"from sklearn.model_selection import train_test_split\n",
"\n",
"X = mnist[\"data\"]\n",
"y = mnist[\"target\"]\n",
"\n",
"X_train, X_test, y_train, y_test = train_test_split(X, y)"
]
},
{
"cell_type": "code",
"execution_count": 31,
"metadata": {
"collapsed": false,
"deletable": true,
"editable": true
},
"outputs": [
{
"data": {
"text/plain": [
"154"
]
},
"execution_count": 31,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"X = X_train\n",
"\n",
"pca = PCA()\n",
"pca.fit(X)\n",
"d = np.argmax(np.cumsum(pca.explained_variance_ratio_) >= 0.95) + 1\n",
"d"
]
},
{
"cell_type": "code",
"execution_count": 32,
"metadata": {
"collapsed": false,
"deletable": true,
"editable": true
},
"outputs": [
{
"data": {
"text/plain": [
"154"
]
},
"execution_count": 32,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"pca = PCA(n_components=0.95)\n",
"X_reduced = pca.fit_transform(X)\n",
"pca.n_components_"
]
},
{
"cell_type": "code",
"execution_count": 33,
"metadata": {
"collapsed": false,
"deletable": true,
"editable": true
},
"outputs": [
{
"data": {
"text/plain": [
"0.95036230847692071"
]
},
"execution_count": 33,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"np.sum(pca.explained_variance_ratio_)"
]
},
{
"cell_type": "code",
"execution_count": 34,
"metadata": {
"collapsed": false,
"deletable": true,
"editable": true
},
"outputs": [],
"source": [
"X_mnist = X_train\n",
"\n",
"pca = PCA(n_components = 154)\n",
"X_mnist_reduced = pca.fit_transform(X_mnist)\n",
"X_mnist_recovered = pca.inverse_transform(X_mnist_reduced)"
]
},
{
"cell_type": "code",
"execution_count": 35,
"metadata": {
"collapsed": true,
"deletable": true,
"editable": true
},
"outputs": [],
"source": [
"def plot_digits(instances, images_per_row=5, **options):\n",
" size = 28\n",
" images_per_row = min(len(instances), images_per_row)\n",
" images = [instance.reshape(size,size) for instance in instances]\n",
" n_rows = (len(instances) - 1) // images_per_row + 1\n",
" row_images = []\n",
" n_empty = n_rows * images_per_row - len(instances)\n",
" images.append(np.zeros((size, size * n_empty)))\n",
" for row in range(n_rows):\n",
" rimages = images[row * images_per_row : (row + 1) * images_per_row]\n",
" row_images.append(np.concatenate(rimages, axis=1))\n",
" image = np.concatenate(row_images, axis=0)\n",
" plt.imshow(image, cmap = matplotlib.cm.binary, **options)\n",
" plt.axis(\"off\")"
]
},
{
"cell_type": "code",
"execution_count": 36,
"metadata": {
"collapsed": false,
"deletable": true,
"editable": true
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Saving figure mnist_compression_plot\n"
]
},
{
"data": {
"image/png": 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5OcmLy9jtdjDGkEgkMD09jeXlZcTjcdTW1vLUQqD0bgMo402sNUZ6f+k+6XQ6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\nxsZ42dlEIsErxVF6IYUOKKWtUpEd+r/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CH9XG8GlNTKfTCIfDmJ+fx+TkJG95ajQaubCm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RIAAuA90Wq1MJlMsFqtcDgc3FZLQJ5Op9mhoDNRp9PBaDQyYNIa5HI5p9gJ9KPRKHK5XNn+ibX6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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f44834367f0>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.figure(figsize=(7, 4))\n",
"plt.subplot(121)\n",
"plot_digits(X_mnist[::2100])\n",
"plt.title(\"Original\", fontsize=16)\n",
"plt.subplot(122)\n",
"plot_digits(X_mnist_recovered[::2100])\n",
"plt.title(\"Compressed\", fontsize=16)\n",
"\n",
"save_fig(\"mnist_compression_plot\")"
]
},
{
"cell_type": "code",
"execution_count": 37,
"metadata": {
"collapsed": false,
"deletable": true,
"editable": true
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"...................................................................................................."
]
}
],
"source": [
"from sklearn.decomposition import IncrementalPCA\n",
"\n",
"n_batches = 100\n",
"inc_pca = IncrementalPCA(n_components=154)\n",
"for X_batch in np.array_split(X_mnist, n_batches):\n",
" print(\".\", end=\"\")\n",
" inc_pca.partial_fit(X_batch)\n",
"\n",
"X_mnist_reduced_inc = inc_pca.transform(X_mnist)"
]
},
{
"cell_type": "code",
"execution_count": 38,
"metadata": {
"collapsed": true,
"deletable": true,
"editable": true
},
"outputs": [],
"source": [
"X_mnist_recovered_inc = inc_pca.inverse_transform(X_mnist_reduced_inc)"
]
},
{
"cell_type": "code",
"execution_count": 39,
"metadata": {
"collapsed": false,
"deletable": true,
"editable": true
},
"outputs": [
{
"data": {
"image/png": 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585iYmGARUrFYxOrqKv7nf/4Hc3Nz8Hg8eOutt3D69OknJhAjpuarr77C7du3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\nRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f4483bd7390>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.figure(figsize=(7, 4))\n",
"plt.subplot(121)\n",
"plot_digits(X_mnist[::2100])\n",
"plt.subplot(122)\n",
"plot_digits(X_mnist_recovered_inc[::2100])\n",
"plt.tight_layout()"
]
},
{
"cell_type": "code",
"execution_count": 40,
"metadata": {
"collapsed": false,
"deletable": true,
"editable": true
},
"outputs": [
{
"data": {
"text/plain": [
"True"
]
},
"execution_count": 40,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"np.allclose(pca.mean_, inc_pca.mean_)"
]
},
{
"cell_type": "code",
"execution_count": 41,
"metadata": {
"collapsed": false,
"deletable": true,
"editable": true
},
"outputs": [
{
"data": {
"text/plain": [
"False"
]
},
"execution_count": 41,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"np.allclose(X_mnist_reduced, X_mnist_reduced_inc)"
]
},
{
"cell_type": "code",
"execution_count": 42,
"metadata": {
"collapsed": false,
"deletable": true,
"editable": true
},
"outputs": [],
"source": [
"filename = \"my_mnist.data\"\n",
"\n",
"X_mm = np.memmap(filename, dtype='float32', mode='write', shape=X_mnist.shape)\n",
"X_mm[:] = X_mnist\n",
"del X_mm"
]
},
{
"cell_type": "code",
"execution_count": 43,
"metadata": {
"collapsed": false,
"deletable": true,
"editable": true
},
"outputs": [
{
"data": {
"text/plain": [
"IncrementalPCA(batch_size=525, copy=True, n_components=154, whiten=False)"
]
},
"execution_count": 43,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"X_mm = np.memmap(filename, dtype='float32', mode='readonly', shape=X_mnist.shape)\n",
"\n",
"batch_size = len(X_mnist) // n_batches\n",
"inc_pca = IncrementalPCA(n_components=154, batch_size=batch_size)\n",
"inc_pca.fit(X_mm)"
]
},
{
"cell_type": "code",
"execution_count": 44,
"metadata": {
"collapsed": false,
"deletable": true,
"editable": true
},
"outputs": [],
"source": [
"rnd_pca = PCA(n_components=154, random_state=42, svd_solver=\"randomized\")\n",
"X_reduced = rnd_pca.fit_transform(X_mnist)"
]
},
{
"cell_type": "code",
"execution_count": 45,
"metadata": {
"collapsed": false,
"deletable": true,
"editable": true
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"n_components = 2\n",
"PCA 3.539386749267578 seconds\n",
"IncrementalPCA 35.072131633758545 seconds\n",
"PCA 10.797459602355957 seconds\n",
"n_components = 10\n",
"PCA 2.505324602127075 seconds\n",
"IncrementalPCA 32.03386902809143 seconds\n",
"PCA 10.88318943977356 seconds\n",
"n_components = 154\n",
"PCA 10.666135787963867 seconds\n",
"IncrementalPCA 30.123000383377075 seconds\n",
"PCA 11.014586210250854 seconds\n"
]
}
],
"source": [
"import time\n",
"\n",
"for n_components in (2, 10, 154):\n",
" print(\"n_components =\", n_components)\n",
" regular_pca = PCA(n_components=n_components)\n",
" inc_pca = IncrementalPCA(n_components=154, batch_size=500)\n",
" rnd_pca = PCA(n_components=154, random_state=42, svd_solver=\"randomized\")\n",
"\n",
" for pca in (regular_pca, inc_pca, rnd_pca):\n",
" t1 = time.time()\n",
" pca.fit(X_mnist)\n",
" t2 = time.time()\n",
" print(pca.__class__.__name__, t2 - t1, \"seconds\")"
]
},
{
"cell_type": "markdown",
"metadata": {
"deletable": true,
"editable": true
},
"source": [
"# Kernel PCA"
]
},
{
"cell_type": "code",
"execution_count": 46,
"metadata": {
"collapsed": false,
"deletable": true,
"editable": true
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Saving figure kernel_pca_plot\n"
]
},
{
"data": {
"image/png": 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RE0AVKKP+h6HMALSxj8alMeujj+CZmAgzAA8S2qQkfPnll9mmffHiRbiq1enT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AVg8H9997hK2EPjUczPq1evps1mpKuriT4+NppMuvygn6tXr9LNzYWfftqdFy6MZ//+tRge7k43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BxNFrXtYu7cuVzQrAmLExV2Xb6QJFrVqwvAN998Q7d2ramSnkLPju1ZvHgxDRMCYWP1VYGI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\nxhhjjDEhsc6DMcYYY4wxJiT/D2ksXc8XVFdyAAAAAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f44834f33c8>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"from sklearn.decomposition import KernelPCA\n",
"\n",
"X, t = make_swiss_roll(n_samples=1000, noise=0.2, random_state=42)\n",
"\n",
"lin_pca = KernelPCA(n_components = 2, kernel=\"linear\", fit_inverse_transform=True)\n",
"rbf_pca = KernelPCA(n_components = 2, kernel=\"rbf\", gamma=0.0433, fit_inverse_transform=True)\n",
"sig_pca = KernelPCA(n_components = 2, kernel=\"sigmoid\", gamma=0.001, coef0=1, fit_inverse_transform=True)\n",
"\n",
"y = t > 6.9\n",
"\n",
"plt.figure(figsize=(11, 4))\n",
"for subplot, pca, title in ((131, lin_pca, \"Linear kernel\"), (132, rbf_pca, \"RBF kernel, $\\gamma=0.04$\"), (133, sig_pca, \"Sigmoid kernel, $\\gamma=10^{-3}, r=1$\")):\n",
" X_reduced = pca.fit_transform(X)\n",
" if subplot == 132:\n",
" X_reduced_rbf = X_reduced\n",
" \n",
" plt.subplot(subplot)\n",
" #plt.plot(X_reduced[y, 0], X_reduced[y, 1], \"gs\")\n",
" #plt.plot(X_reduced[~y, 0], X_reduced[~y, 1], \"y^\")\n",
" plt.title(title, fontsize=14)\n",
" plt.scatter(X_reduced[:, 0], X_reduced[:, 1], c=t, cmap=plt.cm.hot)\n",
" plt.xlabel(\"$z_1$\", fontsize=18)\n",
" if subplot == 131:\n",
" plt.ylabel(\"$z_2$\", fontsize=18, rotation=0)\n",
" plt.grid(True)\n",
"\n",
"save_fig(\"kernel_pca_plot\")\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 47,
"metadata": {
"collapsed": false,
"deletable": true,
"editable": true
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Saving figure preimage_plot\n"
]
},
{
"data": {
"image/png": 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p1FY8EXJUo4nPakWn1XJx61asdXUYtFoQRRQqFUkzZ2K3WqnYtYtpixdjDvrj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\nW86TiekxvwAAAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f4481527c18>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.figure(figsize=(6, 5))\n",
"\n",
"X_inverse = pca.inverse_transform(X_reduced_rbf)\n",
"\n",
"ax = plt.subplot(111, projection='3d')\n",
"ax.view_init(10, -70)\n",
"ax.scatter(X_inverse[:, 0], X_inverse[:, 1], X_inverse[:, 2], c=t, cmap=plt.cm.hot, marker=\"x\")\n",
"ax.set_xlabel(\"\")\n",
"ax.set_ylabel(\"\")\n",
"ax.set_zlabel(\"\")\n",
"ax.set_xticklabels([])\n",
"ax.set_yticklabels([])\n",
"ax.set_zticklabels([])\n",
"\n",
"save_fig(\"preimage_plot\", tight_layout=False)\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 48,
"metadata": {
"collapsed": false,
"deletable": true,
"editable": true
},
"outputs": [
{
"data": {
"image/png": 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GHD/OaMMLUJWcTHV6Os916MB9AP1ateIGg9Cj169/6WeuiImhX6VKvLNwIYO8vHhlwABe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\nA/wPbKr938FWswIAAAAASUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f4483299c18>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"X_reduced = rbf_pca.fit_transform(X)\n",
"\n",
"plt.figure(figsize=(11, 4))\n",
"plt.subplot(132)\n",
"plt.scatter(X_reduced[:, 0], X_reduced[:, 1], c=t, cmap=plt.cm.hot, marker=\"x\")\n",
"plt.xlabel(\"$z_1$\", fontsize=18)\n",
"plt.ylabel(\"$z_2$\", fontsize=18, rotation=0)\n",
"plt.grid(True)"
]
},
{
"cell_type": "code",
"execution_count": 49,
"metadata": {
"collapsed": false,
"deletable": true,
"editable": true
},
"outputs": [
{
"data": {
"text/plain": [
"{'kpca__gamma': 0.043333333333333335, 'kpca__kernel': 'rbf'}"
]
},
"execution_count": 49,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"from sklearn.pipeline import Pipeline\n",
"from sklearn.linear_model import LogisticRegression\n",
"from sklearn.model_selection import GridSearchCV\n",
"\n",
"clf = Pipeline([\n",
" (\"kpca\", KernelPCA(n_components=2)),\n",
" (\"log_reg\", LogisticRegression())\n",
" ])\n",
"\n",
"param_grid = [\n",
" {\"kpca__gamma\": np.linspace(0.03, 0.05, 10), \"kpca__kernel\": [\"rbf\", \"sigmoid\"]}\n",
" ]\n",
"\n",
"grid_search = GridSearchCV(clf, param_grid, cv=3)\n",
"grid_search.fit(X, y)\n",
"grid_search.best_params_"
]
},
{
"cell_type": "code",
"execution_count": 50,
"metadata": {
"collapsed": false,
"deletable": true,
"editable": true
},
"outputs": [],
"source": [
"rbf_pca = KernelPCA(n_components = 2, kernel=\"rbf\", gamma=0.0433,\n",
" fit_inverse_transform=True)\n",
"X_reduced = rbf_pca.fit_transform(X)\n",
"X_preimage = rbf_pca.inverse_transform(X_reduced)"
]
},
{
"cell_type": "code",
"execution_count": 51,
"metadata": {
"collapsed": false,
"deletable": true,
"editable": true
},
"outputs": [
{
"data": {
"text/plain": [
"32.786308795766132"
]
},
"execution_count": 51,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"from sklearn.metrics import mean_squared_error\n",
"mean_squared_error(X, X_preimage)"
]
},
{
"cell_type": "code",
"execution_count": 52,
"metadata": {
"collapsed": false,
"deletable": true,
"editable": true
},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.text.Text at 0x7f44814e0c88>"
]
},
"execution_count": 52,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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Vzp07py+XmYsvvlifeuopPfPMM3XIkCFZLp/ROTTG5A0HD6q+8IJqxYqqwx5fpyk3tFet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\nfBKuvhqWLXPDkgfZtQsefxw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6advJYr95pkn4Ex07svCz/wU86HqY2rKUU/UAVw/4lLP6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\nOCiZmVnV+AfoENwJ+t/cUgAAAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f4483404d68>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"times_rpca = []\n",
"times_pca = []\n",
"sizes = [1000, 10000, 20000, 30000, 40000, 50000, 70000, 100000, 200000, 500000]\n",
"for n_samples in sizes:\n",
" X = rnd.randn(n_samples, 5)\n",
" pca = PCA(n_components = 2, random_state=42, svd_solver=\"randomized\")\n",
" t1 = time.time()\n",
" pca.fit(X)\n",
" t2 = time.time()\n",
" times_rpca.append(t2 - t1)\n",
" pca = PCA(n_components = 2)\n",
" t1 = time.time()\n",
" pca.fit(X)\n",
" t2 = time.time()\n",
" times_pca.append(t2 - t1)\n",
"\n",
"plt.plot(sizes, times_rpca, \"b-o\", label=\"RPCA\")\n",
"plt.plot(sizes, times_pca, \"r-s\", label=\"PCA\")\n",
"plt.xlabel(\"n_samples\")\n",
"plt.ylabel(\"Training time\")\n",
"plt.legend(loc=\"upper left\")\n",
"plt.title(\"PCA and Randomized PCA time complexity \")"
]
},
{
"cell_type": "code",
"execution_count": 53,
"metadata": {
"collapsed": false,
"deletable": true,
"editable": true
},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.text.Text at 0x7f4483c7af28>"
]
},
"execution_count": 53,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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JJT3d2lK6dIHSETfd7mfsWLjnHhvU+MQTUKfO/m0sDRqkMHZsL+rXrxutV1Hs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\n+EnuNpatW9GUVHYe15xBE5rQ/qg5XP7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"text/plain": [
"<matplotlib.figure.Figure at 0x7f4483404780>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"times_rpca = []\n",
"times_pca = []\n",
"sizes = [1000, 2000, 3000, 4000, 5000, 6000]\n",
"for n_features in sizes:\n",
" X = rnd.randn(2000, n_features)\n",
" pca = PCA(n_components = 2, random_state=42, svd_solver=\"randomized\")\n",
" t1 = time.time()\n",
" pca.fit(X)\n",
" t2 = time.time()\n",
" times_rpca.append(t2 - t1)\n",
" pca = PCA(n_components = 2)\n",
" t1 = time.time()\n",
" pca.fit(X)\n",
" t2 = time.time()\n",
" times_pca.append(t2 - t1)\n",
"\n",
"plt.plot(sizes, times_rpca, \"b-o\", label=\"RPCA\")\n",
"plt.plot(sizes, times_pca, \"r-s\", label=\"PCA\")\n",
"plt.xlabel(\"n_features\")\n",
"plt.ylabel(\"Training time\")\n",
"plt.legend(loc=\"upper left\")\n",
"plt.title(\"PCA and Randomized PCA time complexity \")"
]
},
{
"cell_type": "markdown",
"metadata": {
"deletable": true,
"editable": true
},
"source": [
"# LLE"
]
},
{
"cell_type": "code",
"execution_count": 54,
"metadata": {
"collapsed": false,
"deletable": true,
"editable": true
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Saving figure lle_unrolling_plot\n"
]
},
{
"data": {
"image/png": 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XCupo2ahbG8iXtKhI2kygQQllG9h5pZX7zhiz0hjzqTHmgO9YOxbONANHzrLG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\nQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f44814e32b0>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"from sklearn.manifold import LocallyLinearEmbedding\n",
"\n",
"X, t = make_swiss_roll(n_samples=1000, noise=0.2, random_state=41)\n",
"\n",
"lle = LocallyLinearEmbedding(n_neighbors=10, n_components=2, random_state=42)\n",
"X_reduced = lle.fit_transform(X)\n",
"\n",
"plt.title(\"Unrolled swiss roll using LLE\", fontsize=14)\n",
"plt.scatter(X_reduced[:, 0], X_reduced[:, 1], c=t, cmap=plt.cm.hot)\n",
"plt.xlabel(\"$z_1$\", fontsize=18)\n",
"plt.ylabel(\"$z_2$\", fontsize=18)\n",
"plt.axis([-0.065, 0.055, -0.1, 0.12])\n",
"plt.grid(True)\n",
"\n",
"save_fig(\"lle_unrolling_plot\")\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {
"deletable": true,
"editable": true
},
"source": [
"# MDS, Isomap and t-SNE"
]
},
{
"cell_type": "code",
"execution_count": 55,
"metadata": {
"collapsed": false,
"deletable": true,
"editable": true
},
"outputs": [],
"source": [
"from sklearn.manifold import MDS\n",
"mds = MDS(n_components=2, random_state=42)\n",
"X_reduced_mds = mds.fit_transform(X)"
]
},
{
"cell_type": "code",
"execution_count": 56,
"metadata": {
"collapsed": false,
"deletable": true,
"editable": true
},
"outputs": [],
"source": [
"from sklearn.manifold import Isomap\n",
"isomap = Isomap(n_components=2)\n",
"X_reduced_isomap = isomap.fit_transform(X)"
]
},
{
"cell_type": "code",
"execution_count": 57,
"metadata": {
"collapsed": true,
"deletable": true,
"editable": true
},
"outputs": [],
"source": [
"from sklearn.manifold import TSNE\n",
"tsne = TSNE(n_components=2)\n",
"X_reduced_tsne = tsne.fit_transform(X)"
]
},
{
"cell_type": "code",
"execution_count": 58,
"metadata": {
"collapsed": false,
"deletable": true,
"editable": true
},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"/home/ageron/dev/py/envs/mltst/lib/python3.5/site-packages/sklearn/discriminant_analysis.py:387: UserWarning: Variables are collinear.\n",
" warnings.warn(\"Variables are collinear.\")\n"
]
}
],
"source": [
"from sklearn.discriminant_analysis import LinearDiscriminantAnalysis\n",
"lda = LinearDiscriminantAnalysis(n_components=2)\n",
"X_mnist = mnist[\"data\"]\n",
"y_mnist = mnist[\"target\"]\n",
"lda.fit(X_mnist, y_mnist)\n",
"X_reduced_lda = lda.transform(X_mnist)"
]
},
{
"cell_type": "code",
"execution_count": 59,
"metadata": {
"collapsed": false,
"deletable": true,
"editable": true
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Saving figure other_dim_reduction_plot\n"
]
},
{
"data": {
"image/png": 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lmD4XJs+Cx0aF0Llrn2PmHx0Tx4pt3oPHK7ZCeFgYw4YN4+mnn+bPP//M87rU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\nyXjVKe3TO5ehuxt5VK5Uonb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I9gRTs2ZNAOJLlGBB7t/Ltf6RDftzwB8eya233w6A1+tl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Be303lQ0rR9uOiii3DJsMwPlGHBCpkkNDst7bgs0SUlJVx4wQVkm+/hvkD9dHOubVCz5kGByseD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\nshz+X8CuXbtoUrcuD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NOmTVy8eDFff70+7XYz7XYLy5cvw9BQP3p7a9mtm4UORyAdjkC+\n9ZaZbdvq+J//WOjpqaDVCrq6gvFxoIcbmLIH5EWRPnwP7N6tc25Z58+fZ//+/enn7UyVUkGDDowv\nAtYtC7o7gZJOwZMnT95Vv+zsbJaPL8nxTcASPmCXcmDOePDGGLBMAGjVgTULgRFB3uzTvQurBht4\nvAW4qyHoZgCTK4HpzcCK/hInyf3sXiQnJ7NsVHEGuruxRpXK/PXXXx/5zObNm8fyRiMvywugXhAs\nNbFAbuyYfRC25PPviV2xd+9eOhkM7AiwP0B/SeL4jz9mp3btGAMRX2I0hEbYA2C/vn3z+GYLFq/6\nf96wd+9eOhuNrApBneojL/JbQfjo3Y654ApQp9Hcd//Vq1epUyhYBWLHKgrCmblP795ctWoVi5tM\nHC8LEHUh/CRqAxwIcLi84FcDfP/992mTJCZKEoNNJtaoVOmuNcTx48e5ffv2XHri5cuX00mj4QiA\ny+TUHqBJpWJd/ENtPgRip+BRjvw1ZYXdKYBn5X4QDnAvwJ2y4HCbUcwGsJwKpLNIDptwoP7DC/zB\nA3RVgrNcwBIawdLkpNc+c+C4/MbUqVNpMYOzJoHb1oGfzRE+Yl999RU3bdrE4AAjz/8E8iQ44wMF\nY6LDXnSVH4t/uwDx3ALJnDlzhm82qsu44hHs3K41r127dtfvmzZtokULLqgBLqkFepnAOoVUrFu3\nLquHGJjdGWRXcHoiaNWCf7YWxw2DwDGxIDuIFOEEflUNZGfQ0Qms4gu2CgVL+0js071rvrXnfx03\nbtxgsL8/DbI2ZB/ADfJgVAngLoiI05HywP16nTq8dOkSI4KCWNxsZpTBQA+bjUeOHKGP3c55AL+X\nU5BSyaZKJXdAOFt3UyhYv1q1J67bwYMHaTIZuGnTx/zzzxVs2bIqIyL8OWTIEE6ZMoWjR4/mgQMH\nuH37dhYpEk6jUc+kpBL87beF7NWr0VObrhQkXi0gng0rVqxgQIAfo6OLsk+ft3jgwLccPrwfjUaJ\nRqPEokUjOXv2bM6cOZMpKSkP3NIuaGRlZXH27Nm0WrWMjNQwIkLD8HAVL160kbRz1CgDtVqwTk3w\n+2TQyQp2aQfmnAcvHBNmTGFhAfdFkSaFUOTj6cxyEWCdWNDZBH744QcPrEe1pDL8qjvo7wz+3A/8\n/V3xd3w90MUI+juBAV52Bnu78dAbyI2l82EcaNYqadcp6Gc3c9bMGffl/f3339PVZOASP3BdIBjm\nJHHGtGm5vzscDp48eZKnT5/OFeoyMjIYHxXFRKOR7XU62vV6WrRa2iF2PfdB0LTqAI4aNeq+Mrdv\n387K5coxPjqaU6dMyY1AbdZq6SovngzyQtLbze2hDrUvEq/6f96wadMm+lqtrAGxa6WV33MzgK3l\nhbQVYnfBrNOxVpUqHDtmTO7ift26dfRTKjkGgkb4A4hdhbFjx/Lw4cPUQZjuDpfziAFYBWJXwEkW\ndC1aLW/dusVDhw5x1qxZXL169UMVkDt37mTr1q1p1+kYBmF2txDgTAjWphbNm1MnCyut5AV/RYBv\n9+v3wPySk5Np1WjoLn/jeggmsa8BpstplpzPehXYSwkGKMEsG0hn8LyTaK8SoJsSHGUDi2rASU6g\nWqHIZZ57mVCqVAzr1wZ57Z+k0SC3rkPeH0SrRcfQIDMDA9wfq8B4GfBvFyCeSyCZmzdvslCAD9+N\nU3FnI7BNMR2TypXm9evX+fPPP+dGBI0IDWC0O1g3BFxYAwxyNbJxg3ocXUZMdCurCYHAWQfurC/O\ntQ0XlK4+RrBREDi4BGhUg68HC5pXkwZsUKMyp02ZfJf9b0HjZTZhuo3JkydTg7u1gW4AP5E1J7Mh\nzI+cAHrZbDx79iy7dupEu8FAV62WMWYz/d3daTca+eWdAoRCwXdl4WGHrOWJCg1lrYoVWaF0ac6a\nNeuhW7e321O3bh3a7RY6O1tYrlxR6vVaKpUKhoR4sXv3erTZLLTZrFy16n2eOrWI7dtXY82apZmd\nvZEajeaxXNuvTJhe3gXEne+mX79+bNPmTfr6etHhOEXyNMnTLFWqONevX0h3dxcmJpZks2a1aTDo\nqVarWb58Is+fP/9M5T4Mf/zxB6dPn8558+bdF1k5NTWVtWvXoCSBK1aYSNpJ2tm8uZZaLRgRDt66\nDG79BvTzAQ0GEZXabgMLhRgfyFI2btw4ejkrWDkK7FwDtJtBV7v5gXWbOmUSo4IkVggD4/xBNxNY\n2F2YM6kVYPOi4OjKCroY1fyqBri1nhhDqwWoaDeouSoe3JgIhtolzp09m7/++isnTJjAmTNnsn3L\n5vzIE2RxkTYHgXFFIkgKZUSlsmXoLhnoYtCzQfVqub5JGRkZXLRoESdNQ7+KaAAAIABJREFUmsQD\nBw4wOTmZrpJEHwjNsjNAN632if3dSBFHQ6dSMQBgH1kzW0qjYbtWre667sKFC/z111+ZkZHBDRs2\nPFBAK2i86v95w+XLl2l3cmJhWXiIkoUGFcTOgBZi51wLMFqlYi2AQZLEtq1a8datW5w9ezZ9DAaO\nlgWI4RAL5wsXLjA5OZleOh0Ncn7xECZ18yEozA0AJYWCR44ceWDd7h0nBvTtS0+jkbEKBa0QOwuB\ncj1VAIN9RByYMH9/RkP4AA0HWEyrZceOHZmenn5fGX179WKULHCcgKBcv01nfFuAeFcWeM7qwGyd\nMOkrqwaHG0B/JWjX6zh0yBA6qxQsqgEnOIGzbWCEv19BvLJnnlPj40vRzRU89iOYdQnc8rVgXrrT\n4uDvv//mkSNHHjm//xtMmP4XWJjeBnAEQCaApgC+VigUxUkev/Oi1q1bIyAgAADg5OSEEiVKoHz5\n8gAE4w2Axx47HA7YcR0VvXKQ7QA+TbwFjwX74eflASc9cOFmFn47egTvDBmJQf374Nzlm9i8NRsN\nG9XDn2fPYeJhNU7eyMbK34EOkUCjUKDeN0Df4sAXvwOfVATKeQG9twOTDgMTygFnbgJrTwAqjQbT\n5y6Cu7s7Jk6cCKVS+dT1f5mP9+/fn+f7b7/XXQDKQrAvXQcwCYJRQg/gIgSuXrkCP09PlIaIOvQ5\ngODMTLinpuIPX1+McTiQkJ6OCwDOq9X4Qq2GOj0dGgAr9HqkHD8O75QUuAIYeegQbqWnI1JmhHlQ\ne1asWIl27dpgy5bN+O23P7F69bsgHXjnnUX4668LqFWrFE6dOg8nJyN8fV0xbVpXSFJdLF6cDJ1O\nC61W+8Lex9WrVwEAJ06cwCs8G6KjozF48OdITU1DWlo6jEYJ2dnZuHr1OjZs2IqEhGh88cU4KBQK\nfPHFaxg3bh6iorzRtm0rfP31+nyty969e1GjRiXUqWPHhQvZGDNmOHbt2gebzQYAkCQJa9asw1df\nfYUWLRrg+++zceaMA998kwWDwYBTp9MRHQ8klAWyc4DWTYG9PwFFw4E9+5XIycm5r8zvvvsORfyJ\njSMAhQJoUBZo+MHNB9avS9fuuHzpIsZ9/DG8jen44z3AqAM+3ARs/AWYUxf48wYx9gcl2uzQobJn\nJuamaPHTRWBkxC3U8xb5TGQaho4fg369ziBIfQtXs4E/MwBXJTDvCtDKBhTWAWqNmObe7dcPHr/8\nhA2mW8gGUGPzBoR6eWHhSsF01bx589w6btu2Ddt//BHly5bF3owMZObkoF2XLqhevfoTv4fSpUsj\nvkwZmL/7Lnei9c/KwtFffsm9ZuSIERg1ahT0ajXSMzORlZ0NlUqFAQMHYvjw4VAoFE9c3is8f9hs\nNmzetg11a9WC+cwZuEGwbkUBWAGASiVylEo4Z2cjSe43QWlp+GTxYmxOTsata9dwOSMDk5RKlHE4\ncECvR/OGDWG327F50ybcvHULJSDmO687ynUHoADw0dSpiIiIeGw9U1JSMGv6dIxOT4cJYg79AcAH\nALIgKK5anT2L9wcPxskzZ6AEcAjARgDazEwcmzkTy+bPx56DB1GoUKHcfC9fvYozAEYCUEMwmTUA\n0A/AbxBsTivkMn5zAC2yxZx9PRs4lg2UUgO31Ap4eXvjg8lT0a9Pb3yUrYbOZMbX6/J3XMwPZGVl\n4fjx35CaBkQlAg4HkJMDOFk16PBWC/TqPQiRkZFwd3eHu7v7i65uwSMvUseLTHhIIJn8wI4dO1jM\n28Sc7iB7gKmdQUkNzq4Msjd4tgPoa5f4ww8/MCsri8ePH+e5c+dYtmRx1gvTc2CM2HVYU0vczx7g\n+ATQSQcm+Yo82BvM6QUaNeCV9uDvzcVOhIfd6ZXfwyMwfvx46iCYJ4x3bN9ugDBh6i1vwXYEWPmO\nXYYF8m7FVIClChfmgD59GBkYyMiQEPbq1Yst3niDZr2eklbL6CJF2BD/2IQOA1gkKOiJ6teqVXOO\nG9eeBw5M4YQJ7Wm1SixZMoRGo54uLhbm5KwnuYEpKXOp12vo5eXKGTMeH+n2eQGvNJDPBIfDweLF\ni9NiMTE6OpKTJg1jUlI8q1evwL59O/CDD3qSPEzyMI8dW8vAQG+eP/8NnZys+V6XChVKc8GCSJJV\nSFZh27b+HDr0/Qdeu2PHDlapUoVJSa/l7rCmpqbyiy++YKtWrehs09LTHWz9OtiltYbRUWH3MYqR\nZLdu3divAch1Iv29GDQZVI+s5+BBA/leFTDjY5ATwVNDQFcj6KQX46NVJ9iZzHoVzZKeNSpV4Nji\nIF8XaVkc6GUxMMQAtvUEe/qAHhpwRwT4YyRYSA/qlWCNalW5bt06vhZVgh8YwWVW8LQL+JkVTFCA\nLpLEY8eOcfGiRawSF8eaiYnctGkTScGOtGPHDrZ6801WT0jguwMH3qVVzMnJ4eABA+jr6sogLy/O\nmjXr7jYOGMAQvZ5dAfYDWEyvZ/cuXUiKIHIWSWIUBOtNIIQ5hxdAi9HIL7744klf+TPjVf/PO86c\nOcPgwEDqIOIStYKIBK2U32ktCK17Pzn1kn9LgojpMBigi0rF+NKlOXniRGZnZ3Ps6NH0lSS2B1gH\nwnzODPB9gOMAFgbobrU+sSnkjh07WNhq5Qw5v6IQPjmrAK4GuBSgRqmkrySxCYT/zyY5lZXb5CHv\nJJjVapaNiRFB8NRqqiEcucMgCAdqQfiChEKYGQdCmHEZIcgErABX68GDElhVBZZRge+/9x5JsUt4\n8uTJF7IL9yQY9/FHtFrAxQtBZoP79oBGIzh2DDhmtIIuLsb/CZOle5HX/v/CO/9TV7gAA8lkZmYy\nvlQJNi2i57xKYMUgiZIGdPRC7uK/RXEj58yZk3vPmjVrWCbAxG/qgC4G0Md0vwBRODSQxTx0zOkF\nbm8M1g8GLVpwVGmwrAfoqgdHjx6dL234N8PZbGaQPJhaIILubJPTKnmAbScPUrcFiFWysFFZr2eP\nTp1IkoP796ev0ci6ej39jEa+3bs3HQ4H+/bufZcA8R7AYqGhT1S3ihXL02TSMyLCl5Kk45dfDia5\nlikpsyhJOoaF+fDdd9+k1WqkwSCYmhITy/Kvv/4qwCf25Hi1gMgfTJo0iX5+frRaLdRqtQwM9KO/\nvw89PV3522/rmZb2I5s1q8m2bWtz3brxLFw4PN/rEBkZxJ9/juNtAWLixDB27fpWnvK6fv06e/bo\nyKTyMezUsdVDHf1HjRpFmwn8aTJ4fTnYvALo7WZ6aL7Z2dmsnJRAtVIICS1LgR/WBi060M8CLqgF\nchCY0hH0kMDJiaCrzUwXi5EfFgMnlQDdLAbarSaWMoOO8mBzN3B2IMjSIn0bDvqowaFOoLdGSWed\nloWVYH0N6KoAq2vAAQqwg0HPls2bM0CSuATCZttNkrhjxw6mp6czMiSEr2u1/BhgolbLmhUr0uFw\ncM6cOYwICmKASsV3AXYF6G4w5DItXbx4kaWKF6deqaQKoKRSMSEujjdu3CBJTp8+nb4GA0vLAkQs\nBMuVj7zI6ty580OfX37jVf/PO8rGxtJFFv6s8vtTy0KCThYeNBA+Eo3uOB4gCxAjIALP+fv4MCsr\ni1euXKFJo+FQgJ/KqZycrwGCyahcbOxTkW5cunSJziYTXSF8Gt6CULgFQyjfikoS46Kj+YZKxTgI\n5//bpr2jISKru0GwIC6V/zfIAoUNgn0sRp6DjQDr63QM12hyg9pZ5N+i5f+X60GawRNGQdv6NKaB\nLxIJCaXo7Awy+59UtQq4ehVIBzhoIBgZGcyrV6++6Ko+Ff6VAgQAK4AqELFNVACaQVC5ht5zXb49\nyJs3b/L9dwaxeeN6/HjsGPq42/l1XZC9wdW1QX8XKTf6I0l+9tlnrF/YRHcJ3NEYXFYd9DODS6uC\ns5JAsxYcNGgQoyPDWMJV7EbMrAjOqyKoXFuEgV2iNBw/fnxuns/TNu5/wQfiNqokJLCjSsXJEDal\nt521tkFEew2D0PBYITQ1n0JoWiSlkjWSkpiamspTp07RSa/nV/J9awDa9HoeP36cv/zyC21GI5tD\nxIPwlCTOvUNYfFh79uzZQ29vN/755wKSa7ly5WAGBLjT4fia5FoWLuxHu93MWrVK0tnZzIMHJzI7\neyUHDmzIpKTEAn9uT4JXC4inx+PeTVpaGtetW8fk5GSOGTOGFouZarWKnp6ubNSoEl1cnLllyxaS\nYkH966+/8tixY/exdz1tuT16dGK9ej68di2Jv/1WjoUKOXPlypVP07SnLnfkyJGsVRL0sAlq11ol\nQYtJ/9Drx300honhEq+OBVPHgRVCQWeLnnZJQUkDhjmDKxuAHATGe4P9okGzTsXJkyezc7s2fKtV\nM27YsIFRxSJZ0gyyAtjJCxzug1wBYn4QWF0CGQSe8hOLtlsW8JYVnGsQfg1XAVY3Soz08+Ny/BOR\nugPAtk2bcvPmzSxqNvNHCN+rZAhH0QAXF9pUKnoCTJTP2WVlRb0aNUiSjevVY5xGw3cg/B/8DIa7\nWJyWL19OJ0lijCxAFJIXnT4ADQoFixQpkicfmbzgVf/POzRKJV3lRbZenpvqQfgpVJOFhQD5dz+I\n6NBaiJ2AERCKKm+ArjodN2zYwHrVq9Mo/3ZbgCgP0KTRsGHt2k9sqXBvfx0yZAjD8I+CbKb8vekB\nxhQrxvnz5zPSaGQtiKjVtwWINyDYDwdBKOX8IZR3lWXhYTXAMwBPQ/iANG3alDNnzmRMZCQliLgq\nfeU+4AXwW7mfpJrAHyTQw/RwRUNBIK9z6uHDh6nVgjodePgAyGzwykXQxxv8cS947ChYtapgsQsK\n8njmcfx5Iq/9/2X3gdBAmNeFQQTzPAqgLsmUgirQaDRi2MgPco/LxJdDg9rV4btfgf9eSEPv3j0Q\nHx+f+3tiYiJ6/AVcSQfKeQv7X40KGPQdYNcDlQI0cHNzw87dPyHY2xUfxKehgxxkVa8G5h4Cdl3W\nosE9kVdf4X7MWrQIVRIS8M3ly2BqKq4AaAzABBEoJAvAJgAGAOMBmKxW1KpXD8ljx8LNzQ0ksWzZ\nMqhJHIUIcWoB4K7V4vz584iNjcW2Xbvw0ahROHvjBia3bYtGjRo9tl5HjhxB+fLF4OUlIk3Xr18G\nb775EdLSbmH//j9w+vQF1KgRg/j4IvD1dUHRogEAgCFDmsBiaQaSr2yd/4UwGAyoUaMGAKBixYro\n378/MjMz8e233+Lq1asYO3YWAgMDcf36ddSqVQ2nTp2Aw+FA4cKRWLXqaxgMhjyVO3r0eHTseBnu\n7qug12vx7rvvoUGDBk+dz9atW/Hlys8gSWZ07tL9kddGRERg+Xwj/js9FWYDMHOjAhcR8tDrd+1I\nRpe4NFjlJg6oDHRepUe4MQMzawJ/XAGarATW/QYcOg8cuQikZeZg+OB++HDcZDRu8gYSYmPgmnoW\n+zOAQb8DcRagWwpwJRswKYGJfwPrPUT+nnJY6HmZQL8MMbFkQYwff1is8LHbkXXqVG79sgGo1GqQ\nRFZmJgAR+fdtANEAal68iP9A2JL/AmAUxFiSDGDnf/4DANizezf0WVkYDWGv7p+ejqkTJ6Jp06bo\n0qkTFi9eDDocOKhQwEmScCk1FUoIxpAcEsePHUNiYiIOHTr0RJGAX+HFQKtSoajDAU8IX7xsAH7y\nb4UAfA8xR9WWz90AcAzCFvtnCP+GUAA5Gg2uX7+O5K1bkQhgNoC6EOwx3wNo2bw5Pp0zJ89zRVBQ\nEJwNBiA9HYDwHVQCWABg1NGjOHX8OMIqVMB/tmzBjfR07CehgIhsrQZwEoLRJgjAMAArIYJ0hcn5\nKyCiX69btw6Hd+9Gyh9/wADhA3EBQCLEt30YgBbAsFvAIqUWY6ZNyVN7njcWL5qPalWAg4eBCpWA\n6CjgwEGABBYtBubNA5RKJXx8VPjjj3Nwc7Pg5MlzMBqNL7rqBYe8SB0vW0IBayCuXLnCXbt28fjx\n4w/8/aeffqLdqOW0CiB7gyltxLb7J+VBV6vEgwcP8uzZs3S36DmzInLNoZbXBG16BYe+O7hA6/9v\nQkZGBgcOHEgniG3dBIAz5J2EN2Rtil6tpkGtZhGrlU4GAydPnEiHw8FWTZuykNHIerIm5E1Z++Ni\nsbBV06ZsWr9+bpCdp8GuXbvo7+/JCxeWkFzLb74ZRoNBS3d3JxqNeup0Gn733Vh+/vkAlikTxuzs\nlSRX87vvPqSPj2e+P6O8AK80kM8dOTk5PHDgAJs0acyWLSsyJ+dLZmWtZKNG5fhuPowJDofjkQGg\nHoWVK1fSxUXPahXB1+IVdHU188SJE48sq0vHNnS3G1iikIV+3i4PZYchye6d32LvimpyCsgp4NCa\nKtpMap7qCfJ9kd4uK8bRbY3BuVWEP1qSJ2gx6jli+HA2D9DSURM8XRFMsIFeZj3bNH+ToQH+9FGD\nFgX4uRt4whfsYAadFKCbAjxqBGkGJ2nFuSFDhrB///60KRScBsGGIwH89NNPmZaWRjezma9D0HLq\nIcxT3CFopc0AX7tDUzwFwpacJP09PXO1r93lHQoDwNCgIOpVKrrLGltPjYYJ8fFcunQpDXo99RA0\n1SaAZqPxkc8xv/Cq/+cdZWNjWVTeYQiEMFvqABGJuQ3+iSDdSD4fAmHK4wuxQ14eYAQEE1LpUqWo\nh4h71FTO0wUiurWk1ea5P5Pk2bNnxVwHwa4UI5e9ASLeQ+WyZelwOLhr1y6uXLmSS5cu5ZIlS1gm\nJoYqhYI6efekOsD/Ajws94M3AaZAxI2wyLspFnm3xQLwKP5hZOoIYWZsAFinerVcX6OXEdeuXePa\ntWu5ePFinj17lgMH9GOF18DevZU8elRDmw1ctUrL9u2V1GjAwEAVr13zJenPFStc6OysZGCg1zO9\ns+eFvPb/F9758yO96AGEFCHpQ/296WrRU69W0ippGR7ok2vb175VMzYpoqS7BC6sCi6rAboZVZw3\nb96Lrfj/ICZMmEANhM1wLYAj5cGrnTx4F5K3SIPwz7Zyt65d6SFJXCNvoa6QB3YfV1c6SRIbKxRs\nB9BdkrhwwYKnrtOQIe/RxcWJERG+dHY2c9q0DoyODqK3tzN9fb1YuHAAZ83qxkKFvFm4sC9btqxE\nFxcbv/rqqwJ4Qk+PVwuI54v09HRWrVqJQUG+dHd3pru7E2vUiOGGDUM4Z043xsfHcf/+/Q+dfI4d\nO8YRI4bzgw9G8ffff+fvv//+wOjXeUV4mC9tTmCfzuBbLUCbE9i1y+Nt8lNSUrh3717evHnzkded\nO3eOoYHerFLMxFpRJvp7u9LX3ZnbWiJXgKgbBr4bi1yFS7cSYKQN1KiV7NKhHccVBllLpIOJYLi/\nN0kh0HvoNXRViWBUZoUQJlQAG6hBmkVymMS5AIOBITodYyAi8r4O4dgaW7gwSXLw4MG0yYueIQC/\ngTCRtMnJA4KkYRaEY6wOYMnoaDpLEltAmH4MgqCDNUKYjQRBOJmq5L++np7cs2cPTUajEBxkAUIy\nGPj7778/+wt9DF71/7xj06ZNVEPEVIiX5xWrVsuiRiMNCgW9lUqWwj/mTUUgqE37yd+UJ4TJ023/\nPif5b6J8bQjAuQDVSiUzMzOfqa5HjhyhQf4OLXK5a+RvvnGdOg+9Lycnh3v27KHVYKBe/v4/B1ha\nraZJ/o4lWRDaIuf9vXwuWu4zk+X22k0m7tix45na8SzYt28f+/btybff7nOfw/OpU6eYmBhDpRI0\nm0G9HrTZQJNJwXffHUSLRU9vL/DUKS1Ll1ZwyRIdDx3S02xWsG1bI0l/kv7MyPCjSgXabAoePHjw\nRTTzqfBKgHgOeJzNWk5ODv/8889cZoSUlBRWea0sg3zc6Oti5LrG4MYmYN1QMM4LLFm8SJ7KyU/8\nL/lA3Mbx48dpUChokLUowRBB5HQQvgur8E/EzrchGCv0CgUjJInfygLEtwB9TCa2a9uWtRUKLgK4\nSJ7ozSoVWzdtel8Qwce1p2LF8vT2duaKFW+zUCEvDh5cj5s3v8uGDUszOro4W7Royt69e3L+/Pmc\nLfPXPw7/330gIJgBVwG4CeA4gKYPuKagHssj8SzvZtSokaxbN5GrV4+kl5edS5b048KFfejsbKLZ\nrGdsbAh9fd3YoUPb+4SImTNn0sXFyt69o9mxY1FKkpo2m44Gg5YffjjiGVsl4O6m5fypyI1C3b8b\nWKhQQL7kfRvXrl3j8uXLuXTpUrZo2pgapXCi7l8WbBAumJh2vg5ubQRBYBEOFrYpWCkhjl9++SUL\n2SUeTwJTq4Ov++vZqU0rkoIMI9Dbm/E6MDMQbGUEo1TgZ2YwXClsr2kGd0ligXMZwpH0djTdpvJi\nzwAwpnhxNqxRg2HyQm/DHem2U+vtBb9dFihKyuc9IFhobgsQUfI9Kogd0Kry2KSQhQoVQJvNRpPB\nIFh3JIm1atZ8LhrMl7X/P0l60QLE+++9x+JKJbvJC/J6AP08PTl//nxu3bqVnd56i2atlk4QfnpG\ned7ylOesiRC76FPkhXe4vEDXQgSNGwewolbLahUqPFW9HjQ+nTx5kpJKxR5yuVF31OPw4cOPzTMn\nJ4dz585lbJEiLBEczH49enDBggUM1+u5AuBJiJ0JLUQk6v0QuywmgMWDg7l69eoHxpN4Xti5cyf1\nejW9vNT08dFQr1flKnkdDgdjYiLYs6dEkwlcu1bixYtm9u2rpZubgmazlqtWrWJMTAQ1GlCSlDQa\nlaxRw0K9HvT0VPHvv31I+nPWLGe6uSnp7Kzmzp07H1iXVz4Qr3AXlEolvLwEW/PNmzdRuXw8ukdc\nRJi7AwsOARN/BNY0Asr5Ag3WGFCufsMXXOP/TQQEBMDFbkeLixeRCOEc0w/C9jQQwq7UHcLjHgCK\nAGhL4nRmJpIBxAHYpFBAa7XCaDBAKyYhAMI205qTgzNffok3z5/H2uTkJ65XZmYGatcuibffXgB3\ndytGjXoDAJCQEA539y5Yv35jLjd0VlYWDhw4gH379qF48eKvbJwfjukQdOKuEObn6xQKxX6Sv77Y\naj0bjh37FXXqxGHu3PX46KM2ePPN8gCAd95ZgIkTW6JBgxikpt5CmTJjsXbtWtSuXTv33kWL5mLE\niGh06hQJAPD2lrB16ykcOnQZkyd/hLi4crkxP/IKs9mCIP+LucchgYDd2fZMed4Li8WCRo0a4ZPp\n0/DbnrW4PATYlAIM2gCYtIDNqMYb67PxRiFg7R/Ait+AqKgoLF25Bq6urkj5dTCKjhyBzKxs1K9Z\nGR9PmQYA0Gg0qF2vHjyWToNGAezMAKaZgKoaIDkTiEwFApXA7hygIoTP1GsAegBIAXAFwFQA/gDe\nOHAARw4cgBbALQBXATjJfy8pFGjbqRO+njULypwc/AlhV34Qwr8qAsASAKchPuCrAGoA2AxhC+4B\nYQtPCJYQJwDnrlxBfLly8PXxQclSpdCjR49X/lEvOY4dPQqdw5F7rAeQeesWWrVqBQD4/vvvocnM\nhA3i23oLwp9ADSAV4t0Dwi9HgvAjiAYwHMBHAPZKEqpUqYIZ8+Y9c13Xr1+PBK0WNWQ/iHcANAEg\nabVwc3N77P1KpRJt2rRBmzZtcs+lpqbiw/ffx4a//sKVrCzMgfABqQSgGIDLBgPq1K6NJZ9//sz1\nf1a0bNkYCkUO6ta1IShIh9Gjz6Nhw1o4dOi/cHFxwa+/pqBnTwm//aZGzZoaAMDYsXpMmZIJHx9g\n//79OHHiFLy9jLh2zYHxE6bDZDKhUqXTGDZsIAIC/oSzsxLXrzugUABmsxXFixd/wa0uQORF6njZ\nEgpIA3Hq1CkuX76cX375Jf/++++nunfHjh0sHWThT21AbzN4piv4egQoaQRtYXigzwP51F/hyeBk\nMHDJHdrAprKWYyCEmUEk/mGbGChr+EoULcqiISE06nQsXawYU1JS+OOPP9ImSewo71b4QphCrQao\nUakeGyn6TowcOZzlyhVh48ZxjIjwpsPxGcllTE1dQIvFxIsXL5IU0UtLlYpiRIQ/w8L8WLZs7H3R\ngp838BJqICHm01sAgu84txDAB/dcV1CPpcAwZsxoVq9ehrVrl+GiRX1JriW5lmq1imlpn5CcQ3IO\nu3WrzAkTJtx1b8WKZfnNN3VIdifZnYsWVWaTJoGcMCGWxYs738Xo9ijs37+f1asnsGTJQhwwoNdd\n49GI4e8zNlrD/+4G920G/X11XLliRT61XuDs2bNs8UYD+ntYWD4IfD8JdDaAxdzFOOlq1rJalUr0\nNKtYMxDsFQ3q1QoGedjpKmloNxvYskkjXrly5b68ly5dykiTjpf9wXA1+LERpCvocAFbakGzWsme\nEDbrfwBMA1hTHkOSIVhlzsi7EvEA58m7Bjb52ALQoFRy9+7djClWjBqIaNPzIcxTDBB8/z3kXQZ3\ngM0g+PQtEH4UanmcKgPBbKOHYJBTKZVs3KjRc7Wdfhn7/5OmF93/E8qUoQ7CRK0xBMVpiL8/SfGN\nW2Sq3ur4x3QoHGL3yyjfNwIidoRWnodWQ5jZFtLpuGzZsnyr69y5c1nOaMydN+fL9UgyGrlo0aI8\n53v+/Hl2btOGNRIT+Xr9+mxapw6bN2nCmTNnct++fflW/7zixo0bnD9/PpVKsFUrG8liJItx165g\nms1KJiUl8rvvvqNWq+KsWSYWKaJkdraFpJW//26mRgOazWo62wzcmQwyDfzPNtBul3jhwgWSgklv\nzpw59PJypSRpGRdX7H8mJkRe+/8L7/z5kQpiANm8eTPtVol+NhVNWtCkU7Jx/ZoPXPT/+uuvrJYU\nzyKhvmzb4g1evXqV+/btY4CLgcvqgjWDwalVwCHlwLWNQZse9Hcx8Icffsj3ev9/QeVy5VgH4HqA\ni/GPg6JOHhC1EBR6FeQBuwrAcIOBNSpVuo9ebdu2bYwKD6ezUslOANcCXAhQr9E8VXC/7OxstmvX\nhgaDhi4uZjZvXo5LlnRjpUol2KzZGyTFt9KgQT22a1eJq1f35YxXM4jUAAAgAElEQVQZ7Vm7dkn2\n69cnX5/P0+JlXEAAKAEg9Z5zfQF8dc+5AnoqBYdbt26xXr3adHa20snJyLlze3L27B60WiVOmdKM\n5Bz+/fd4BgV55lK93saECR8zJsaHR440488/v8GwMCcuXpzIceNK0d1deiK/mpMnT9LNzcIZMyzc\ntcvG6tWtbNeuWe7v2dnZHDigD328bQwKdOP0aVPytf1Hjx6lq5OBfZLAnb3BVnGgVQ/+2QfkUHDd\nm2LM9bBbeKw1yN7ClMmmAddVAHdXA6NtYIxdxUa1q9+Xv8PhYJ9uXSmpVZTksaG5DnxdK8aHwkFB\nfE+p5Eh5EWcH6GY00kmp5Iw7BIiGEGaRP8sLrtsmSwnyoj8qIkIoIeTF2O3kI4899eSxyABhI+8m\nCw6QhYWycioDYcJklK91MpnyROiQV7yM/V9U6+U1YbyNmlWqMAzCd8FJFkqrlC9PkhwzZgxjVCoO\ngwhM+hb+oSB/D0LxZZck2iSJhYOCWCUpiXqFgtEKBQMMBtauUiVfA8xevXqVQd7erAqwG4SjcyeA\nCSYTly5dmm/lvEzYv38/bTaJwcEG6vUK9uvnytsCxO+/h9FiUdJsVjE62kZXVy0tFjAgQMFSpVTs\n3VtLu11BSVKwf//eLBppIdOQm0qVtPD7779/0U18ZrwSIPIZQb7ufL0o2DgSzBwBpg8DS/mqOeKe\niK4XLlygl5uNk2sruL872CZWyyoV4jl18kRa9WBxV2HL620GI1yEhs1ZD1aNMOYGHLoXr3wgHo9z\n586xWGgo1fLEq5EHxB4Q/NQRQUGsX6sWVRC2nktkoSDIZOK33357H0NNeno6i4eHM16lYjuAnioV\n+/d5+KL+Qe25evUq/f29aDBoqdGoaLeb6O5uZenSpZiZmck+fXrSw8NOLy9nxscXYkxMENu0KS/b\nvRtYoUIC//vf//Lw4cOcN28ek5OT71s8FhRexgUEgHIA/rrnXHsAW+45V0BP5dF41m/a4XAwJSWF\ns2bNYqNG9fj66w24YMECBgf7MyDAg2azkSNHDrvvvs2bN3P48CE0mTS0WDRs0SKYn3xShkajmkWL\nhj+R5nr69OmyJs6dpDuvXHGlwaB55L351YevXLlCD1cbC3uCjqkgp4E5U0BXE/hbD5BDRdKpFXSz\nmbm4miCekNSgWgEmuIF/NQB/qAoWs4JateqhnOuXLl3iyZMn+dFHH1GvVDJSCQ7Xg/6Snq4mE+sb\njawlSfRydubx48f59ttv0wDhu1AFYsdhmyxArJCVE8NkYWIdwOJ6PadMmUI1BHvTfHm80cljkl7O\nA3cklXxOBxFcrCyELbpC/t0LoF3O93nhZez/olr4TE4GAPEQlmAR91xTYM/lSdC8WTMqZUWVCqCk\nVufO7UOHDmVZ+ZsZJs9PRlnQ6ArQW5Lui15+4sQJLlu2jJs2bXpsLIFH4WH99cKFC4yNiqK7SsWG\nAJuo1Qz29n6kz9+z4kXa+wcFeXDGjDCSSfzuu2gaDAp++aU/f/45lGXKSLTZFJw0yUzSnampbixW\nTE+1WkGrVUODQcMuXbrwzJkzPH/+PJ2c9PzvQZBp4B9HQGdnPc+cOZOner3ygfiXgiRO/XUB/hpg\nQKKI66BRATVCs/HTnu/vunbHjh0o4Z6D7mWEHf2s2pmwfbAH3/+wG5OrAQO/BQq7AuMqA79dAfpt\nArIcwJ7T2ZgdE/MimvevwMWLF1G3SRMkXLmC2TNmoEhODspBcLK3AdDu9Gl8s2ULNmzcCJesLAAi\nEqG7QoEPR4xAnZo1oVIq0a9/fwwZPhw6nQ52FxekpKQgDYA7iVUrVmDoiBGQJOmJ6tS3b0+UKxeI\nNm1aYu/ePzBz5lbExQVj/fqDWL16Ndau/RJHj36Eli2n4fffz2H//jFQq1XYt+8PVKgwHHXqBCI+\nPg4KBVG5cgR++uk0AgIiUL58+f+vdtA3Iej174QFgkr9LrRu3RoBAQEAACcnJ5QoUSLXD2Dbtm0A\nkO/Ht/Es+YWEhODMmTMIDe2Z+7uXlxfOnTuHatWqwW6333f/wYMHkZBQHidO/I7Dh5Pxyy9X8Z//\nXIBCocbSpcuxffv2x5Z//PhxXL9+u/6Z+PvvHGg06gJvLwBMnToVTto0OLIBB4GdKUBmNnArG7ic\nDpw+DvxwBjDotGjWoiV6zJqGHAewpyEQ7gS02AzU3AoMKw5cygQ0ahW+/fZbVKtW7b7ynJ2dcfDg\nQWxevw4f6x3oqge2ZQHarAysCSmKun364ujRo2gfF4eAgACMGTMGZ8+exZJFi+ABYT83HIAXhO9C\nFoSv1QEAxQGEZGRg//790Gg0GJKVBT8Ap+TrzwOIBbALwt69nPy/N4AAAH/I+WggPnQAcIbwl0gj\nER0dnS/P+0HH+/fvx9WrVwEAJ06cwMsIhUIhAWgAoDDJdADfKxSKNQBaABj8QisnY926dVi2ZAlC\nIPwZbgLIyM7GxYvCf6h+/foYNXQovCF8XL6F8Av4D4CdoaEY3LMn2rdvf1ee/v7+8Pf3L7A6u7i4\n4Icff8T0qVOxfeNGuPn5YdewYbBY7h1q/x34668LaNw4FAAQH++EuDgrBgw4i+vXHbh+PRsA0Lix\n8ESRJAVq11YhKakn2rVrh6CgoLvm//HjpqBsUg8EBqhw9Gg64svFIy0t7fk36mXBk0oaEPbIKyA0\nAF3lcy0AROdFcsnPhALQQJQtWYxl/MA+5UB+ADpGge1La9inR9e7rlu/fj1jg0x0jBLXXXoX1GtV\ntJtU9DCBVh34R3fkUhN2jxWapmHD7tcsvsKTYffu3bQZjayjVLKaUkkNBJPEUgifh08A6tRqZmRk\nsFhYGGtDUCz2A2hQqRiu03EywI8gKBz79unDHTt20KLTcRoEI8YMgGEWy1PxVEdEhDApqTB9fJzZ\nsWMSQ0M9GB0dwCpVitLHx4vt21cmuYyTJrXmm2/Gk1xGchmzs5dSpVIyPX0hdTo1Dx9+h+Q0pqVN\nYFiYD7dt21ZAT/If4CXUQMpjTgbu9oFYgH+BD0R+IC0tjV26tGdwsA9LlSrKzZs3P/G9V65cYUiI\nN7t2tXDmTDOLFDFz5Mghub/funWLq1ev5sKFC3ny5Mmnqtf169cfqTldt24dy4abmBgK1i8Ozm8B\nJoaAZh1oUINBNmG+tHHjRmZnZ9OgVbNdOMjOIqW9BWqUoJtO+DZplArq1Co2qVf7oQwvHVq04FgJ\npLNIy01gpdjYh9bx8uXL/Prrr/nZZ5+xfevWNEDw8TsBbABhOjlf1jqvW7eOmzZtogqCDW4QBKNO\n+9vmLADDQ0Opkc2WysumK29A2MLf3qlQQ/hdaTQajhs37qme+bPiJe3/L70JY9GwMCZCxHtoA0Eh\nXgSgSafjmjVreO7cOTpbrZQgWLnKQ5i1uTk5PbVf5SvkDT4+zpwyJZRkEq9eTWRkpMS5c/3o7Kzi\noEGDaLEo+NFHJpLuvHbNleHhag4e/PA4PBMmTKDFoubQAeDbPRR0dTX9z/g6PAx57f9P05mHAegD\noD6ADwAsBdArL4XmdyqIAeT48eMMD/GjSQcWcQOL+egYFVnoPq71W7duMS6mKBuX0HNSLTDaX2LP\nbp3oLCn5WUPQywwe6IhcAaJ5UUFV+LxMU/6NqF6hAtvLZklLILjbnSE4qBsBdFerOfS990iScVFR\n9JAnaFcI+9P2ELzaAyEo5owKBa06HfUqFafIwsMnAEPM5id+TxkZGXRzs1GStPz772kkF/P69U/p\n6mpm6dLBjIjwppeXM8+encFDhz6is7OR+/Z9yOzspRw0qC59fe385JN2tFgMbNEilj/+OIDkNDZq\nFMvPPvus4B6mjJdxASGqhaUQZDYShAnDFbxkJgz/qzh//jwHDOjDtm3f4OLFi3LNl9LT01kuPopl\nS5vYpIGJrq4m7tq167H5paSkMDIikAa9mlazgZ8ve/B3m5aWxhKRoSzsCYa7gXWKgK1KCd+wdxJB\nbyctJ47/ZwE9duxYFrODWR1BdgZ31AWddeA3ScKk6e8KYHoVsJ6vgW/36kFS9Mfh77/HBlUq8e1e\nPbljxw66GI0cK4HTJNDDKHHt2rVP9Jxu3bpFtSxAeMkLRI1sgqRXKnOfm6RUsqEsPEyRzVV8Ifwb\nenbvToU8/nhAONs2lAWSMIjgWzqANr2eJWNiqNfpKBkMfOedd/7f0rjiJTdhJMkAb2/WuUOAiIUI\ntuYD0Fmvp1GnY88ePWjUaKiT5ykNwBCjkc7PEA/hl19+YZfOnflWq1ZcvHgxHQ4HMzIyeOrUqVfk\nLHfg/PnznDt3Lo1GJQMC9DQaVXRxUVGvB3v27MZLly5RkjT09FQyOFhFFxcFg4N1D/Uj27ZtG51t\nSi6cjlyK6+GDFOzUsfVzbln+4nkIEE53/B8DYPAdxw0A9AawDMCQvFTkWVJBDSAOh4MnTpzg+vXr\nuWXLFm7cuPGB1928eZMfjBrJzm+14fz58+lwOFiuVDEubwxOqQ4GOoEza4K9Swt/CItB9cigT698\nIB6NctHRHHCHANERwpa4viwouGu1XLBgATMzM6lWKvkFwJVyKqdUsjREZFgrBDNKdXlgNyqVLKrT\nsR3ABJ2OxcPDH8rCdG97lixZwlKlQhgS4k5ycW6KjPShVqtiv35VGRwcQKNRz+BgL5pMEg0GLVUq\nJcuUCWK5ciF0cpK4cGEnTprUgi4uJi5Z0poWi5EpKSn59uwehpdxASGqdZcT5QkATR5wTUE9lkfi\nzm/g77//Zrt2bZmUlMT+/fsxNTX1qfO7dOkSX3+9AX18PBgbG8Xdu3c/ttyCwJQpU1irqoGOyyCv\ngJ/PBSPCvTls2LAHMh7dRtHCQZz0loKOr8D9k0BXZ8NDNXNXrlyhSa/m2aEgx4vUMwEcWxVc0wys\n8lrp3GuTk5NZvWIio70lNgpW0KIF+xYGS7mqWNkFZHWRtsaC5aKK0uFwsH61qqzlYuDn3mBrVx1j\nixbh7t27+Vbz5mzT5HUmJyc/sF6XL1/m2336MCk+nlMnT2ZOTg4zMjJogojeW15e9HvJwkCQl1fu\nvbVq1KABItpwTwiH6UCAJr2eJ06coIerKy0QcWuUcjJA+EAUl8cjP4AahYIWeXfDbDTy008/zeOb\nfHK8jP1f3oG4ec+5Pg/agWjVqhWHDBnCIUOGcMKECXf1ka1btxbI8Z9//kmzJNEIwcxVH8JH5nbQ\nOAnCJ0IFsE2bNuzTpw/tWi07QMQd6QrQ1939qcvv0K4djQqwohLspwG9NComxMXRbjLR0yjRYtDz\n448/zr2noNr/NMd3Msk9r/JHjRpGi8VAT08zAXD4cA+OHu3Jbt1cmJho49y5c7lnzx7qdGBSkopJ\nSWq6uIAWi+4uAoM784+JKUQvD/CjocgVIPp1BV2cdSxTugjXrFnzxPV7ke9nwoQJuf2lVatWz8+J\nGkBlAD3uOA4C0Fb+Xw9BcXwfU0JBpvxeQJw+fZpr1qzh3r177zp/50u4jQsXLnDWrFn85JNP+Oef\nf+aeHz5sGO0G8PNGYLdYoV2L9wN3dwB1moc7/T2snILC8yorP8sZ//HHDJYkfihP6u6ytm8I/nFe\njAwNZXZ2Ns0GAyfKwsNygOGSREmrpQUiWM9qOdUA6KvRsEmjRqxduTJ7d+/Oq1ev5pZ548YNjhwx\ngh3atOHChQvv25mYOnUq27Urz4AAF86a1ZYZGfO4cmVPurtb2KXLa9RqVXRykpiQEEEXFydWq1aJ\ns2e3YGbmdJIzuXNnfxYt6sPbgseIEY1oNhs4YsTwfHtuj8LLuIB40vSiBYjU1FSGh4ezX78+3Lhx\nPRs3bsRatWo9tea4UqXy7NKlCo8fn8DPPutKV1dnnj59+oHlZmdn88KFC8/kZPkwDB40gEMHgrwi\n0vEDoNUClooy0N/PlSdOnLjvnhs3blCvU7FXHbB0IbBBGbBmaemR1JBORg339UGuANGoGDi9Nvhp\nXbBe9Yr3tferr77ipEmT2LpFMzapW4NJCfHsGKjOFSBGhSvZpG4tnjlzhi6SnrciQBYGHRFgMWcz\nv/vuu7vKv3btGseOGcMB/fpx06ZNTE1NZWRQEJtrtewGsJQksVuHDiTJIHd3tpF3IZrI443tHgFi\n48aNNEBEFPaEiCCsBThy5EiS5DfffEMVRNTflvIuhBbga3Je/rJgosE/jD4SwFo1az7T+3wSvIz9\n/2U2YUxNTaXFYKBFftcqWSA0QzhJ3446/ab8vWgAxsXG5lL4+svzj1KheOI+7HA42KFNGxoAFlGA\ntVWgrwIspBBlLpNN9LaYQVeziV9//XUBP4Unx/Nc05Dk9u3b6eVlZtWqdsbGWmg2K5mcHEIymuvX\nBzMszMbNmzezdOkinDFDImknaWenTjrqdMqHMl/Z7UYa9GBYCLj7W3DratDVDo4dBH49F3R3Mzzx\nrtLzfiaPwnMRIAA0BdD8nnN1AJy643g5gKl5qUxeU34OIBs2bKCLk5HVS1jo7yaxS4c2uQuB26wp\nBw4c4K1bt3j69Gl6udlYN1LJRsVAo1bBqCIhfP+dgTTplBxYHizuIYSHWB+wfCBY2BXUPkaAeIVH\nw+FwcMTQofS22ykpFCwia/G0siZoLEB/jYazZs7knNmz6SpJrKPRsLjRyKiICFp1OtoATrhDgGgG\n0KhWPzAaZ0ZGBmOKFGGiTsf2AEONRvbv3fuua3755Re6uDhx9uzWLFrUh0qlgiaTjt7eTqxePZLv\nvFOdfn42fvLJG1y9ugNdXW3s2jWJ5EySMzlhQmMmJBTibQFi9Ogm7NKl0/N4nCRfzgXEk6YXbcK0\nadMmlikTRzKLZBYzM9Nos9meysb55s2b1Ot1zM5eyNvfQKNGZblkyZL7rt2yZQvd3Jzp5GSkh4c9\nz2YQD8P48ePp6QGePAhmXQDbNANLFgN5BhzeT8VmTevdd09OTg4tkpL148DvRoNjW4MmPfjll18+\ntBx/Lxd6W8FRNcCmUaCHCRyQALpYpScymbp48SILBwewgo+JNf3MdLNZmZSYQJvRQIMC7GwDM8KF\nABHjYub27dtz771x4wYjg4LY1KDjCCXoK0ns2rkzy5pM/AvgWYBHAWpVKqan/x975x1eRbW9//f0\nfk6Sk14gCZ3Qe+8dlCaKgBRpKiJFBcGCInBpCiiggqioKHYFRa9KuRYUsOEVBAVBBRXlgkiTlPP5\n/TGTCNICBMXfl/d59nOSk5k9eyazy7vXWu86zJo1a3BYLHSQocq0SmKORGpMTEGd2dnZhFwuqsnI\nJVNFwmuzsWvXroJjKpQti0uGa5PTXHhazEVnsrkIdR1FIHw2GwMHDizsv+6scaH2/wvRhTESiVCl\nUiXiJa6SkdujsUkafDKs4ZVkWLW9MuRaY83/90CJ+2TEvwQlskqWLPR158+bR5zVSmmJMhbRziqy\nXSLiEkNtIsMiDkYLYkTFqOAFkX/h78Ldd99NMGjjnntK0KtXAsnJDkIhKw0bxpGeHuLaa69m3759\nlCwZz+rVQfIJxIMP+ggELOzfv/+E9SYkBBk6SEwfLyqWFyUzRSAg+NYoU8eIG4YO/kvvtSjwV7gw\n9ZF0yZ+++5cMgYkKR323WtL1Z9OYsy1FNYBEIhESYkP8Z5jgfrF/uiiT4mP58uXk5OTQveulJMV4\nKJ3ip2LZTK68vDONMkTYa2iYN840SEKDTCd+p/jldlErTUxoJZgsIv8S/aqLWtUqFkl7/6/il19+\noUHNmjisVqzmwJ0p0Vx/JOqpLtGscWNqVqxIyOulVFoa99xzDxVLlWK0DP/j8iaJGGcO9DfdeOMJ\nr7d06VKy/H5eMsnG4xJOM0j7aPTseSU+n5OoKA8ZGbGEQh5q1ChOJPIg8BCbN48nFPLw++8zsVqt\nlCqVQfv21ejevS7R0UGKFYvnxReHsWDBQGJjo1i7du1f8DQNXKgLiMKUv5tALF++nJo1axCJZAM5\nHD68n1AoxM8//1zoOnJycnC7XezYcR/wJHl5j1O7dtnjdhH37NlDXFwUb7/dCRjK669fSnx8dJEm\nIrxx5A20ayk8HuF0inq1RfnSgh3i7cWiccMqx51z6NAhnA4rv78gWGKUFlWsp4zfGdCnB23KObix\noRhSR6SGbLRq3oRPP/200G09cOAAL774IrfddhsxHid3Jolh8SLeLup6xWUBMSLBQcWSmRw6dIhn\nnnmGYUOGkFWuHFkWY/fYI0P62WWxkGax8IDEDxLbzd3ir776CoDrrr2WHkcRiIUSabGxx7Rn8+bN\nZCQn47fZSIyJOUYjPicnB7vVyiUyckR0lOEr75cRFxGyWklJTCQYCBB0uwl6PMTFxp7QClXUuFD7\n/4Xowvj999/jsNmoZJKHPjJi72wSN5qWhdsl0k1CONQkDwkmuahmEomgxcIbb7xR6Ote1rYtfpNY\nxkjMtwvcRlnjNN7l6laxJSii3O5jiOv/Jbz33nvExPiw2y2Ew3batQvx/vvluO++YoTDPl555RWu\nuWYALpcdv99C48Z2du+OZuvWKEqUsFKyZGpBXYcOHeK9995jzZo15ObmUrlyKe6bogLr7Idvidiw\nCgjEzddYGT3qxOuICxln2/8LJeNqsVg6S+ooabvFYkmR9JsMBaYHgVxJX5jHVZUUlrSgMPVeaDhy\n5Ij2/LpfDUsYv/tdUu10Q+buy40btWndv/XNmCNy2aXbXv9d8974QXEead2NkschdXtU+nm/9PbV\n2So3U0qfIoHksEojGkhep9QoQ8q2ZJ6yHatWrSqQ3Dvf+KuuVZTXGXDVVbJ9+qnckYhSZNi4b5Jk\nlZQqY7vqd0kb//MfVZM0WdK7v/+uB2fN0u+HDytJUlVJz0q6W5IzGNS8uXPVs2fPE17v8OHDClos\nyhdS9UkiElFOTo5cLlfBce+99x/FxQU0dmx7bd/+P82evUJJSaECCdbixWN06FC2HnnkA1WqVE7/\n+c9qLV26VNnZ2br33jZavvxtzZ//uNxut158cYlq1qyp5557ToFAQGlpacrKyiqS53cRRYP8d7p+\n/frKzc3TNddcpxYtmuvRRxeqTZs2iouLK3Rddrtdd945Tk2bTlWvXrW1du12uVwxat269THHbd68\nWdHRLjVvniZJatOmuBISPtaWLVtUtWrVIrkvp9OlCuWsWvJ0RDk50nsfSqNul95cJT3wpEd16jY5\n7hybzSYiER06Irkcxri372BEGzduPOl1ps2co66XbtVj69frSE6eelzZXQ/Mf0xWq/WY4041dvh8\nPnXu3FmzJt2tecnZ6hptfO+2SLuypaWH7OrcsZuW3ztTd40dq2UPz1P33EOyZUvfI70tqYSkwZLC\noN6SZkp6UobsZprVqhUrVqhUqVIaNHiwmi1cqBKHDilR0jyvVz379j2mPaVLl9Y3O3eesK3Z2dmK\nRCIKSEowv8uVVLtpUx06cEDlK1TQpZ06qWrVqlqyZInsdru6du2q2NjYkz7D/98B7JUh3HLBIDs7\nW067Xdvy8lRahmnkC0kWST/JeJ8skpwypMMfl1RK0teSGsnQoX5R0hGrVdXPQMrdGQiouAyXj+mS\nFuVJfWzGDu6zeVJTi/RSRKp80KZ7Zk3Xxo0bFR8fX1S3fU74q9YZv/76q7p06aDHHy+n1q1j5fX+\nW4sXl1QgYFNmpktz5/6sK67oqGDQqipVHPriizwdPhxRaupegZSQEK/Vqz+UJP34449q3ryuPJ49\nOnQIJSWVVyRi18TpUr1aUky0dMMt0pEj0vSHpF27pYUveLVm3ZBCtfWvXOedN5yOYcgY624xf86Q\nIV29U1KPPx3nkvSKpOJnw2TOpagIdyCySqczr7vgfrHlDpEU9vLJJ59w3aCrub6BYKZR1o8SYb+N\nhT3++G75dSIzRtRJE8WixNobxJqhom0ZMay+2DtO1CjuZM7s+07ZhosxEKdGbDBIB3M3p6/pvpQv\nvTrM3PWZIzHB3F18WIa8a7LPxxVdulDH7WaexGSJeK/3tPKXP//8M/FRUQyyWJgh0cLlokalSscd\nFxMTYN2624EFwAIGDmyEw2FjyZLr+P77yfTqVZtw2E9mZjE2btx4ymtGIhFGjx6F1+ukYcPSREf7\nKVYsiRIlinHjjcOLXGlDF+gOZGFKUfb/M8HR7/SePXsYOXIEnTt3ZsKEu8/6/7N06VLGjLmF2bNn\nn1CS9LvvviMQcLNzZz9gKN9/34+oKB8//vjjGV/riy++YOzY0dx66y1s3ry54PutW7cSG+vj1hvF\n7KkiLtaK3W7B4bByebcOJ5VKDfnt1CwlFgwVA1uJ5LC49RRyiGC85z/++OM5i0rUKFuK98sKahhl\nVppoFxA1y5cBjCSPPoeD3UFBlLjTJUYZPAckdspQadstsUWGz3pviVYeD4888kjBdVatWkWjGjWo\nUqoUd9522xllCV6/fj0Bh4MYGa6WZUyrx/Tp0xly3XXccsstPPvss4Wuryhxsf8XHnl5eVSvXJk4\n0wKen8g0ZFqU+ku0Ma1XFtO67Zah0DTfLCMlYnw+Zs2aVShL82uvvYbPbscvUUqGNLDPfGfLyAjC\n32YzrpUSCgEXlo/9X9WWDz74gBo1koF2RCJt8Xqt7NxZhV27qlKsmJNBg6IYNCiKlBQ7ixbFM3Vq\nDO3bO4hEgsye7aZXr84FdfXo0ZExo+2QK7ZtEcWKWXC7RVysiIkWPq/o1MawyvbvLnw+Kx988EGh\n23oh/X/Otv8XZSe+W1Kq+XPJoqq3kNcumqcIbNy4kRLFk0iM8eD3OnnogbkAzJo5kxZZHo5MF8wU\n49raKJORwo1NVUAgZnUWUW5xW3NxeSXhcYgKiYZ7U8ApHDbRoknDi/EPJ0Bubi7Lli3jySefZNu2\nbSc85sCBA3Rq375AwaStSQJ8MoIap0s0kOFfnE8o4iTuNUlEwOXim2++oV+PHkR5vaSEwzyyYEGh\n2rdhwwaa16tHmbQ0+vXoccKsnSkp8Xz55QTyCcTIka2oXLDClmcAACAASURBVLkilSuXJzExli5d\nLuXjjz8mOzv7tNe7447bcLsdrFkzkg8/HEF8fIA33riRjRsn0bJlZUaMuKFQ7S4sLi4g/jmYOnUS\nycnRdOmSRVJSFDNmTD/hcZs3b2bBggW8/PLL5OTkHPO3tWvXEhvrY+xYP6NHB4iLC/Df//4XMN71\nmBgvdWsZ7kuhkIulS5dy4MCBU7arcoUSDGovercUo64QDSp7WVDI/nWumDT+LmrGePi0vFhe2nBh\nCrqcvPnmmwDs3LmTkM1GJCSIEnM8orVExCQQb5oLsd0Sv8jwWb/cZiMjMfE45am9e/dy+aWXEh8K\nUSEzs9ALge+//x6fy0VDGfkfKku47Xb8bjcZEsVsNmJjYs46s+254GL/PzPs2bOHXldeSbmSJWnZ\ntCkTJkxg4sSJ+B0O3ObGVYz52VlG3g+/DOWlh2TkiyhmsdDG5SLW6+Xhhx8+6bV+/PFHfFYr/WXE\nVuyROCDxhElOOkgstIrGFiNHSWp09F/4JC4sbNu2jdhYPz//3Bxox8iR6ZQs6aJLlyj69g0B5YHy\nvPtuOuXKOVi/PoXy5W1AiPnzPVx55SUFddWqVYb33xG5R0TFCuLOW8WU8SIpQQT8xmdsjOjeUaQX\n83L3+Nv/prs+d/ytBELSIEl1TWtFiqRriqJes+6jfSC36QQKT0U9gOTm5vL9998fI8WYnZ1Nl0va\nkBbnpWLxAOVKFmPt2rWkJYW5vJqd3rWseJ1iUhsRmSqSg+LVAYJ7xY47zDgJv+svkeT8pyEnJ4cW\njRtTzO+nit9PyOc7Yf6Fvj17UtFup5UMLXaXxHBzoA6Zg3UZc1C9Q4afqVviEolMn49h111XUNfB\ngwfZvHlzkfmORyIRGjduQKVKqaxceTOPPXY10dGBEwZlnw5HjhzB5XISE+MjN3cGt9zSgttvvxR4\nDHiMzZsnk56eerpqzggXFxD/LHz66acsXryY9evXn/Dvy5YtIzbWz1VXpVCzZixt2jQ+hkR07dqa\nBx4IAAlAAtOmBejb93IArr2mHxPusMABwQGx+DHRskXtE17naKxevZq4sJ9OjQNUKeOnTcuGx5Dl\nzz//nI4d2lCieCIN61QpVKB0YZGXl8f4O26nTGoSGfFhLu/Wjc8++www5HHrV61CUGKkU2wJiPvc\nRqxUE3Oc8MnQ8f9I4garlUS/n+FDhpwwEL5ds2a0dTp5Qkb8VIzXW+hxffjQoST4fFS120n2+YgO\nBKgkIwi3sUSa3c6oUaNYtmwZq1atOo74nS9c7P9Fg+uvvZaqTic3mRaHThJzzTJIRr6PDjLiFRbJ\nsIzfI+FzuU66sfjMM88QlqHwNNAkDwdkBPrbzHmvuklOGng8jBo27Lzf59dff83SpUsvyARqd911\nG8WLR9GrVwlSU0N069aZSpXKcsstYfIJxFdflaB4cTuDBgVo2tTO0097iI93HyPVP6B/D64Z7OSb\nr0VSolgw11Bc6tZRfLVGvLhQeD0iGBA33FC0G3p/Nf42AiGpngxXzjxJEfOzy7nWe1T9T5vFI0OF\n4Vf9TSoMK1asYMOGDaxbt67AjP/zzz8zd+5c7rvvPmpWLsvbg8Seu4ysqj/dZVggAi4R5RF169Yt\n1HX+r7kwPfHEE5Tw+RgjcasM2buMlJRjjjl48CA+m41YGeombU2i4NUfLktzTUJRyRxY/TIyT192\n2WW88MILBWpay5cvJzoQINHvJ+DxsPgsErUdfT+RSIROnTrg8zkZPLgedeqkU7ZsIhUrlis45skn\nn6BkyeIkJcVx3XWDCgKwX3zxRRo3rkuDBjV55BFjF2r//v24XA5iYnw4HFZsNiu9e9cjn0CsWDGa\nChXKnHGbT4WLC4gzx99lgv7zu7dkyRJmzZp1jBpTRkYSK1aUAqqRm1uVhg3jjlF0at26Lq+8EiKf\nQCxaFOSyy1oD0K/v5cydoQIC8eYS0bBBpULd744dO3j22Wd59dVXj3HvufOOsQS9FmpmihifGN5K\nxEb72LJlyxnd79mgT7fLuDboJEOiqsWQvkwyxwe3hNtmo1nTptTKyiItHObS5s15/vnnT1hXbm4u\nDpuNJRJvmKWN18tDDz1UqLZEIhFeffVVJk+ezMsvv0xqUhLVjyIQsRIet5twMEjI76d2rVondRkr\nSlzs/0WDpUuXUr1iRVL9fkI2G92OIhBDJOL9fpJjY6lls7HYJBBPyVD7OlnumK6XXEJ7iWdkuEht\nktgvMdZ8h8tYraRarYRtNm68/voC0nm+xqd58+bh9XiIDYXweTxMnTr1tOf81WPl6tWrefTRRwty\n6Xz00UeEQg5eeSWN+fOTqFPHQyBgwe+3ULeulSpVrLRs2fiYOvbs2UO9epVJTvbgcoq6tYTLKX7b\npoIcEFddIZo1ODvlpYsuTOd/YPBKOqJjdaAf19+kA326f/jMe6ZTNd3H2htErE8Ujxaty4gF3cVD\n3YTXqUJpM/9fIxBTpkyhrt3OrTL8kvtKuJ3O447JtzBMk6F6ESXD99QhMfqoQTpGol69egwbOpRZ\ns2bxxhtvFLgcHTx4kOhAgMFmPSMkQh7PGSudHH0/H3zwAXFxIXr2rAHMAmaRlzcDh8PO4cOHWbFi\nBcnJYVavHsr27bfStm0Fhg0bwrJly0hODvPKKwP497+vpWTJJB577FEAKlQoT6lS8bzwwnXs2DGd\n6Ggvffs24O67u5CYGOa554rWV/riAuLM8XcTiEgkQv/+V1GpUiLXXVeB4sVjmDbtXwB4PE5++60y\nUA2oxg03JHPPPX9kd37ooblkZQVYuzaG1aujKVnSz1NPPQkYUtbJyR6WvSje+bfIKu+lX98+JMQH\nCYU89Oje6aQyh2vWrCGzeCI2m4US6UmsXbuWTz/9lJDXwg+zBYvExxNElFf0aeTivvtOHQ929P2C\nsYAfOXQI0QEvcVEBJo6/k0gkwv79+7mufz+qlSlBx5bNC5STACoUL8an0aKn0xgbLrGJplbD1bFR\n9erH7fJ/9tlnTJo0iW+//fa4tkQiEYIeDw+b5OF1iap+/1lnix99883Ee71Uk6ggIy9A0GIhUYZq\nT8jtLtQC7Vxxsf8XDVauXEl2djbr1q3jwQcfJNrj4WqJayWSvF7KlihBebe7wEr+uGml8Fmtx8Qx\n/f7779xwzTWUTkkhymJhrMQOiTvzSa9UkGzQJ3GbxC02G726dj2mLUWN3bt343a7iZWhHBZnEt4T\n5Yb583P5uzF58mRiY+3Exlpp3tzNpk1JpKVZeOEFD5MmuRg06KrjzsnLy2PLli0Mu+Ea4uMsRIXE\nxtWC3SLyi2jSQCQl2M8q2eOF8Ezy8f8rgagi6eCfvrtRJ8hEeSEgEokwedLdJMV48TqEyy6SgqJF\nGcOFqXFJ0aVLlyK9Zr671Q8//EDPHj1ISEigYoUKxyVNupDxzjvvEPZ66WwOhgEZ2Vjnz5tXcMyQ\nwYOJN021/UyScLM5oMabA2pVc9LNlPA5HITcbtK8XsoGg6QlJLB9+3Y2bdpEkt/PNJNATJMoFwoV\n+EqfDZYuXUrVqulUr55GTs69wCw2bhyD3+8lEolw880jmTixLXAPcA8bN46iZMli9Op1OfPndyef\ndCxZMpAWLRoCMGBAP2bO7E5+PMWKFTcRHx9m9Oibi1z3Hy4uIP6JWLduHenpYQ4e7AH0ZseOy/D7\n3ezbt49WrRpw883J5OZWZePGciQlBfjwww8Lzo1EItx771TKl08jK6s4Dzww+5i6n3v2WerWKU+N\n6qUYMXwYifEePnxZ/PyJuLKji969LjuuPfv27SMxPsQLd4jIv8Xzt4ukhChuv/126pUSLPqjpMaI\nuiWEw25j6uSJhb7niXfdScNULzu6iC0dRYV4L48uWED7Zk3omexiTUUxPcNKalyY//3vfwBc2rwZ\nUwJWtsUYi57GFtHWbiHs9fLRRx8dU//oESNI8nppEgoR9npPmMdizuzZJHm99JCo5/FQs2LFk2as\nPx1yc3MZc8stZBQrRsXy5YkLhwmbi7NEcyz8v5wHojDlQu7/r7/+Os3q1aNB9ercfPPNZPj9PCEj\ncanHtJRnSbSQaNmwYcF5A3v3pqnHw1KJ+01Lw3KJ7yTaS4QlbpIRr7NRRgbzRhLVypY9r/fz+eef\n43G7CzJs+yRigsHzMicVNXbt2kVsrJ/ly+OJRIrRvr0bv1+ULm3B57Pw3HPPnfTctWvX4nRa8XpF\nSpKYMFZ0bCuio0SpDBtNGtXk0KFDf+HdFC3+fyUQDST98KfvBkha8afviugxGsh3Cxg/fjxPPvnk\ncb6J//73v6lVtSxlS6Rw04jrj1NcWbVqFX63jRivmNZZ+F1GAHXAJS6//PIia+e2bdvISE/H6/Fg\ntVjw2O2EzE7t8/nYunVrkV3rfGPWzJnYZWijjzCtECGvl02bNgFwzz334LfbccgIQOxqDqz3mwNp\ntMQAGQoYpWTsLlaU+JfEFIk2NhuXtG7Nvn37CHg8jDTJQ3cZsRQ2i4WaFSuediflz8jLy2PSpEn4\n/W5q106nTp10Bg+uR3S0lwULDJekCRPupn//uuQTiFdf7U/16hW5+uqruOeeTuQTiEWLrqJduxYF\n5/ToUY9I5GFgAfPm9aZFi8ZF9biPw8UFxD8Py5Yto0WLTKB3QUlJiWb79u389NNPNG5cC4fDRjDo\n4dFHzy6Yee/evQzo359re1sKtM53rBHxcYHjjl27di0VMt3wpgpKuQwvY8eOJeAWG6YIFonXR4mA\nW5SKExtvFaWSvSxZsqRQ7WlcswpvNRf0MsrCeuKyDm3wOR1k1xHUM0qblAAvvfQSeXl5rF69muLx\ncTSMCVIm4KVEsTTGjx9/jPJUfvuTPR4+kdgq8ZJpnTxRHMLbb7/NbbfdxuzZs4t04dClc2dCTicJ\n5sZI0Ovl0UcfLbL6T4aL/f/8Y8mSJVQPBlkkwwX3KonnJV6QmCWREArxxhtvcP2gQfgdDt6T+Mos\nV5rvQynT6uCR2Cwj6H+3xPUy1AijbLZTJm88U0QiEd58800WLlzIpk2bGDduHJJh9bfKUJmySHz3\n3XdFds3ziXnz5uH1WrDbRWamhX37vICP2bNd1K174vxc+/btIy7WQ+kSIjXZiHnwecQlzcVv/xV5\nW8WlLV10u+wyBvTvy3XXXfeP2sCFs+//hcoD8TfigAzZ5KMRlLT/zwf27dtX6enpkqSoqChVqVKl\nQGN31apVklTo36/q2V3vLl+injWPaPYirxbMm6vb75wgi8WiYDCoy7teqlEtjuiSytKNLy1Qjyu+\n1fXDRhacD6hDp27a9N5i3bdKevAKKTEgPfeZtOWn7057/ZkzZxaq/SNHjtSP330nIhFFJLlzc2WR\nGYiSna3nn39eo0aN0qpVq3TgwAE1adJEfr//mPryfz6T53Oi33/99Vet/+wz7dmzR8WKF1f16tWP\n+ftnn32m4cOHn/T8lNRUed1uZf7+u74325Nit2vjxo2649Zb9dqSJfKADkvaIskhqYl53H9lvChv\nSNolKSRpn6Q0Gbkhtkpy5+Xp6y1bFAwGdcPIkZo5bZqSXC59v3+/uklKBW3bsEGXtGql+x566LT3\nm38/1103SO+887ratSujt9/+Snv2HNbmzXuVmVla8+fP0YoVb6p58zaaO/cb9eq1WCkpAT300BqN\nHXuHWrRoodatm2vTpp/kdNr13HMb9OSTz2jVqlWqWrWaXnjhWVWtOkGhkEeffvqdWrdupdtuG6ua\nNWsrFAqd0//rs88+06+//irJyHNyEWeOv0vHO/+61apV0/r1/9PSpd+rZctkzZ+/RV5vUCkpKbLb\n7Vq1ao2OHDkip9NZkIukMPjtt9807o7RWr36XW3a9JXSUq369juUfUR6eKq0eat06NB+DRzQW81b\ntNMHH3wgj8ctj8erb3b+rl9+NXJBdLlL2vr9IU2fNlluh1217shVtE/ae1AKuaUPb5RifFLfaof0\n3jurdMkll5zyfiUpJjZOm3Zb1CIJSdKmAzbFlktUHuhgRHJLmv2D9N//HdSUKVN068gR+mXXTzqY\nk6uGXS/TpCFDVKdOHdntx099GzZsUMbhwwpJ+lBSHUk5v/+u//3vf0pISDjm2ObNm6t58+aFfqaF\nRZ++ffXtt99q48aNysvLU99evdSnT58iv85FnB+cakyoW7euvrdatUqGb/ZHMjLjfSzpsCTnvn1q\n16aNkszjd0vKz+Lws6QkSUiqIGN++4+kLpKyJb0vaYMk8vI0qHt3Nf7xR33++efnND5FIhFd1qWL\nVvz733KD9ublKSc3Vx4ZQa8+GfmWciRVqlhRW7ZuVTgcPmFdF0rOg0gkVzk5KBiUuna1Kxg0xsXu\n3W269dYtkoz129Hj5cMPPyyP+7CqV5Ku7SuteE+aNkcac60U8Esg/fDTEVl3vahLm0b01KvS4qce\nUt++g3XPjDknbcuF8kzOCWfDOv6qIqOf/a5jYyAW6jzGQOzevZuAz8kvMwULxO8PiswkH+vWrWPl\nypXcOW4ct7SzwnzBfLF1kkhNPF42bf369bjsFka1ENxvlF2TREzIe9o2FNY3zulwFAQSy9yZCJlm\nb5uE1WqlUaNGtGjRAofDgd1up2ePHsfsqJ3uWnl5eezdu7cgAPlE2L17NykJCZRxOKgsEeX18thj\nj53RPWVnZxPweuluWiAGSUR7vTz44IMELRYqm7suJWVItgZlZPRsIiPLp9+0vAyWId96s7lLMs60\nQtR2Ounbs2fB9b777jvGjh1LXZ+PRTIUMZ6U8Doc/Prrr6dsa/797Ny5E7/fhdNpw263EhPjoXz5\neMJhL1lZibzzzmDGjGlO2bIl2LFjBzNmzODOO+9kxIjh9OnTgwkTxvPBBx9wzTUDGDiwL+++++4x\n1zh06BB33XUXV17ZnRIlkpg9uzvXXNOEkiXTj5OWPFfo4g7kGePvjoEAePfddylVqhh2u42aNSsd\n4/t/NsjNzaV+/Sr06ekkHCPeeFawW/y4wdh569hKRAWFwy68bmMnrkKmGNdflEl3kRS2kpEoyhcT\nPRqJnBfE7sdF6WThdopK5TJIS4zm0Z7GmBi5T3Sq5mbGjBmFut/PP/+c+KgAA8u5uKqMm9T4MN99\n9x3Drh1MzbCH8h7RJijuTREV3CJgFV+miF3FRZmg75SWjoceegi/xFKJq003E6fEHbfddk7P9GhE\nIhFeeeUVJk2axEsvvXTcuLpy5cqC3BhF3cdPhYv9v2hwujHhs88+I87nw2XOWUHT2v66DDWmkIz8\nIwGzNJLobLeTGg4TGwxypYw8Jc+Z835NGYHVMRLrZUi89paoV6UKr7zyyinn7dPh5Zdfxm2zUcKc\na13mOsMiQ00qzfzMz4VRrWrVs34ufwU+/PBDEhN9VKpkZ/RoJ5UrW/ntN8MCMXeuk9KlkgiHfbhc\nNrp3v5QDBw7w5JNP4vM68HlF9g7BLqPUqCLaNDKsD+88I+LD4vf1gi/FvnXG2Bgb7TzORfJoXAjP\nJB9n2///9s5/2gZKT8lILuyVocK0V+dRhWnr1q2kxnmJPCxYYJTGFUK89dZbAEydOpV+DZ0FBOK9\n0aJE8URGDhtC+xYNGH3TcL788ksqlitF0C3qZYi8WcZk+do1onypYkXW1uLFiuGUkbAmv2NbzM6s\nfBKhP5LchEyT+OTJkwtV//PPP4/P68XlcFAsNZUNGzYcd0xeXh4TJ06kpNPJlaaptaVEamLiGd/P\nq6++StDrpWQoRMjj4a5x42jVogUhGZrpg8y6oyTGmPdTxxxoJSPA+sGjist8NkG3mwa1ah1HDJYv\nX066389Ck0DcI+F1OgstnVinTnW6dq3AkSMTqVYtmXnzOgETOXhwHJUqJTJgQE127bqNEiXiueKK\nbkyfPp2uXTvSokUWDz/cnS5dqtGsWcPTJqOKiQnx9dd3Aw8BD9G5c81T6oafDS4uIP45iEQijBt3\nK1FRfgIBL8OGXVdkcp/r16+nRKaP/+0Qfr8K1EbYLdq1FIlxol8XY5Jc84wI+oXfIzY/I3a/IVwO\n8dRoEeUT62cKXjbKzP7C5xIpiWHWrFlDXLSf7nX8NCjrp071iidVoDkRtm/fzsyZM7n//vvZtWsX\nYIxDN44YQSm3hbyqgmpibyXhsYjLfYJMcWu0hXF33HHSeleuXEnYZsMrI9aqjznGuKTT5sAoLIZc\ncw1JPh/VbTaSfT4GXX11kdR7rrjY//8afPPNN8R6PJQw5zGXxL9l5CF50yQMTSWSzU2wlhYLqeEw\n33//PR9//DGJUVHUDIWIdzopabUyTkb832iJ3yT2mQTCIeGz2WhRr16hNsT+jH379pEYG0tAhnuw\n1Zxj7ea6Iu2oYjevZ7fbz8MTKzr861//4sYbo2ne3ElmpoWYGBEdLUqXFqGQg1DISjgs7HaRliri\nYj34vGLGeOF0iv3fCHaJyE+ifBlDwjXgt+JwWClXQvClUSIbRUJYRAXEyy+//HffdqHw/zOBODoP\nxHZJV5zgmKJ6juTk5JBVJp2JXW3smiEW9hdJ8VEFAXm7du2ieEo8g5s4mNxFJIc9lC2RRt96Ll7u\nLzpXsuBzGXEPo9uJ8kmiUrLoVlX4XZYT5jc4WyxZsgRLfuc1S4KM4Dv/Ud/7zMEqyty1aNumzWnr\n3rJlC36vl1oyArzKS6QlJx+zo/HSSy8R8HqxW624ZezYXSkj70LYzIZ5pvjhhx9Yvnw5b7/9NtcM\nHEhsIIBVhkJJpkRz87ObDItEH/PTbt7b3SZ5uE6GNSEhKoqYQIBhQ4Yct8iKRCJ0veQSSvr9tHK7\nifV6eejBBwvVzt27dxMMuhg+vD5dulTA73fy889jgYnARG6+uSEVKyYQDntJTQ0xZUprOnasSDDo\nZt++ycAscnNnULp0MnfeeSe33XYrixcv5rfffuPdd9/lk08+KXjWXq+b//3vXvIJxIABjZk9e/bJ\nG3cWuLiA+Odg3rwHqVIlmW+/7ctPP/WnUaN0Jk4cXyR1f/7552Rm+Mj5TSQniVefEuwWO/4rwtGG\n5WHPh39MlkN7iXBIjB8oIqtFOMpObJSLoFfMGSx4WUReEp3riFolDStEXl4e3333HQsXLuTFF188\n6wDkP+O1116jbtAG1QTVRF5VEWUTzT1iX3GR4bJTJimRTi1bHBf/AMbYHw6FqGDu5n4uwz/dKRVK\nbvZ02L59OwG3m4EyfNYHyYixuBByA13s/38N8gnEPHNedkksMMnDaxLp5ly23Hz/1kvU9vsLZIX3\n7t3LqlWruPfee6nm9fK9jISIDSV+lSFnXllGsPUeie5WKz06dz5Nq47HrWPHkmix0Eqitkkaokyy\nYjGJdbJJLvI3Lp0OR1E/riLF/PnzadQoRChk4cUXvWzbFqBHDwehkI369esQjhGfrBG//yaGDxWh\noKhbQ7BLNG9oWB0enSV6drWSlZXBV199xU8//UTXLh2IjxGzxohv3hLjhhjkISqgIl3vnU/8f0sg\nCnUTRTyAbN++neaNahMT8lKzSjk+/fRT8vLyuPyyznhcDtxOO3VrVmH4DdfxwAMPUCbFT969gpki\n5x7hc4r+jQSPiSPzRZfqxncZqbF8/PHHp71+YU1bs2fPxudy4TPJgl9/qHfEmrsGTnOQipJhLnXb\nbNSvX59x48bRvl07qlWpwp3jxnHkyBHWrl1LjapVSYiNpVzZsiR4vbQwCUQLCbvFQo8rr2Tnzp18\n8803BLxeGsuQoatiLuTbSBT3eBj8J+WQwt5TJBLhtddeI+TzUcdqpYVJDErJkG4tZg68+cQo3wLT\n2hzUrOan22bDI8M6UVKihNvNjcOHs3z5ctatW1ewOM/Ly+Pll19m9uzZrFu3rlBtBFi4cCFRUW4a\nNkx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tWzx07GglMVHUqG5jzpw5gLHpcElrbwGB+Hq1iI7+Q37/wIEDuN12DnyuAgLRuI6f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\ntO9ZWVkw6PWoZ7dD6npvC5zXZkokuGYyITs7G6qsLEhc7ZAajbj0N9fNZ4F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Ydur0JidN\nmkSr1YM6nYK3mSLIdqxZM9Qd6rXb7Rw/fhzr1KnMkiUTWLy4H0+ebMfDh1sxNtaHM2ZMe6Tx+F9O\nYcK/XIn2WXw3Go2Ke/a8SZtN5IcfVuKyZU0YE2NlUpI3RVHByMhQt1Dhszyvw+GgSiXn1av+vM3C\n9NprAsePB+kA83JBmw2c8Sl46xw4uA+oFcE6VUCeBIf1APv26fXA4//444+cMWMGt2/f/rdtmTJ5\nMosFCTzfH8waCtaNU/Pdrm8/0/6Sztxrq1pFqp2LJqEAjwHMgpMiuj/Aky7rBTAKzjRM0fW6v2sx\nRgkne914ODUfQlwLLpXvciCKu6IKhcPDuW7dOvpYrc7XrgUbFZypTBXhjPzeXsBRuD7TuUwNsGzZ\nss+k/w/DKwfi2eBlSkt5lLbcunWLc+fOZYUKFahWq6jVCtTrtTxxYgXJHbx4cR31epFhYX709jbT\nw8NIf38ry5eP4bVrX/DMmemsXr0ou3evQXI+yflMTU24R0Tz7rbUrVuDLVuW4IkTfbliRSsajaI7\n08But7Nw4UIcNao0b916i99+W4seHir26hVDhULCnTt3PpdxeVRcvnyZft4Wlg6RskUxMD5QYL/e\nPZ57O54WTzr/5X9fZv0Kd6N69er47/GzAICcnBwE+Nkwr/sNVEwEfj8OlO27AF8vmg8/Uy4u3wC8\ntedx4KoShdvLoJDbkVYC8NDZMXnSJ+jTbzDe6dwely5dhKg1o0u3PvjPpI9QIeoPlI0H9h4BNu1R\no2u33tDpdGjcqBZM4g2cuwT0bAX0bQuYDcCaH4HlG4EffgGmfU3cyv0W/v7B+GbpUnzw/vu4desW\nOnTsiNdffx15eXn48ssvEVKoEH7csgWqnBxcB+AFQOf6UZxTKtGkWTMsnDsX/jduQAon20jL9HRc\nvnIF2dnZUKvVBdhP1Gp1gXE6ffo0Kqel4djRo8iz29GgYUM3C8DDcCs7G9q7XqtIZN28ec92V65e\nhdH1vwSAPicHFy9edH9+/vx5yGQOBAWpce1avvt9QZDBbicWL85EnTqe+Pzzkzh16hreeKMBdDo9\n/vvfi/D2VuPEiWz89ts19O59EBUrVkJQUBDeeaeb+zhdunRGQIAG06cfQOvWkdi16wK2bDmDceMS\nAQBSqRSdOnVFp05dkZJSEgMHloSvr7NnPXrEYtWqFWjZ0k068v8Vp+AsoKwCJxmNGxKJxAxgEYDW\nAJYDGAHgSwDJz7mN/yhCQwPxxx8XsH796xg69AeMGvUjsrPzUaNGfXz2WW/Ex8f/Y+fWaJQ4d84O\nvd7JCXTunB0zZgBGAzBvPpCdLUG3vkTbzoBWBEjg46GA3Q5s2iag/mvB9z3uoAG9MXvmRJSJBQb2\nJd7pPhDv9uzzwHZs3rgGHYpkwSI6X/dIvoUO3y7FmTOZ0BuMKJFc+pGuHX8Hm80GqUqNb7NyUEcG\nLLUDheFUKLsFoNZd28oBXAeQB6ADgJqu9xUARgNoAOA2D1YTALMBbANwEsAlABcAmAAcOngQVdLS\nUBpAJIDtUilySOST2AxnEYAEQAiAP4H7Uhbl5uY+dd9f4RX+irNnzyI2NhZ2ez5yc3MRHR2JgwcP\nY8CADkhKaoUKFYrhu+9+Rm5uHjp0aIiIiCC0bTscffo0xubNv8HHpw3y8/NhtzugUhUBSaxfvw97\n9x5/4HXL4XBgxYrVuHp1CDQaBfz8jGjYMB4bNmxAVFQUMjMzcf78OfTsWQ0AUK1aEGJizNi69RwU\nChkGDx6IpUuXP89heiiMRiN27NqHjPeH4+zpE3i7bXW0bd/+RTfr+eFJvI6XzfCCViCOHDlCfy+R\nXAG3lYxSUasGFw8ET8wCO1QH9YKEVg8Fr20AuQ28uBb0MKiYVqEUW1ZT8tAccN5A0GrWcs2aNQzw\nszAuQk+rSc13unRwr+wvWbKEGjVYIgasWQ5sVh0snQBqVGB0KBjqDx5eDZ7YAJYuKvCD94cVaG9u\nbi6TSpakhyjSpFRSrVIxNjqaEtcq2u0iahPAypUq0VcQWARgEYCJcDIp+fv6UiaV0uThcV/e9tuo\nUK4cw2UyVoNTSdosily6dOnfjun48ePpKQisASeDk1Gj4cqVK+/ZrlG9eoxWqdgGLgYThaKA1kRe\nXh5tNiNnzYqizabgJ5+Ecd26BJYsqaefn5UhIb6USiU0mzVs3TqIu3aV4UcfRdNmMzA+PoJ+fhaW\nKBHD4sVjGRBgY4kSse60M5IsViyGgwYlMCxMT51OQZVKxl69enHWrFkcNWqUO5WJJOvVq87x4yuQ\n7EayG/v2LclOnd7kywS8wBVI/A8p0T4ufvrpJxqNIkuU8KWfn57h4WbGxxd+qkLlR8VHH41maKiO\nH37owaZNBQYFSfn22zKGh0sZFxfGLVu2MD29EatVLcsuXbrQZtWxekU946K1rFyp9H31CQ4dOkSr\nSc0LS0BuAE8uAA061X1Z6W6jT8932T5ZSb4P8n3ww+qgXgV+UA4cXAr0EFXctWvXM+nz5s2badJo\n6OmKLNxe9Y8OD6cIcBzAKXCSTihd0YJ3Af7gsqEAzRoNawH8AuAbrmun2hWVEFzHK+GKKoTBWSht\ngpP1qSFAs8HAefPmUaNSUXBFL+JdaU23U5nUrv01KhU///zzZ9L3h+FFzv+ntX/z/H+RKFOmDEND\nQ1msWFFWqpRCu/0s69Wrzho1UpiR0YPlyxent7eVMTGhvJ3O1L17c9auncTq1YuzZ8/6dDiW8eTJ\nmfT29qBUKqG3t839XGC323nx4sV76rZMJgN/+607yQw6HCOZlhblFmy8efMmRVHNY8dakuzM7OyO\nLFRIz9WrK3Ly5CTq9ernOkb/X/Ck8/+FT/5nYS/qApKVlUWjXsMd40CuAE9+Dmo1ctZNhpuqNXeZ\nkwaxWIyO3Aa3+dmcD/77Z8JdQN2sssgZM2bwxo0b3LFjB6dOncrWLZuy89vtefjwYZYrV4pBPuCi\nseD4PqBeC/ZrC9pMYJAPODsD5O9OWz0VrFCuSIH2LliwgB6iSD9X2pInQI1aTbVcToPrZhnsCr0P\nGjSIWo2GUS7nwU8mo1ImY4jr5hgJUK/VMjMz876Fj0adjqkAq7ssDODAgQP/dky3bdvG+OhoGjUa\nBvr6csGC+7NMXbt2jfVr1aJWkDE4WMl27awMCtKxRYtmrFOnImvXTuPIkSNpNmvp7a2k0ShndLTI\nwYODqNerefbsWZ46dYoGg4b5+dV4O52pUqUAt/BUjRppbNMmlH/+mcYFC4rRYtHzjz/+4IABvVmi\nRDQtFpEhIWYajSK7d+/MtLTSTEnxY7duEfTxMbjTlPbs2UObzYNt2yawefNY+vl58vjx44/3Y/uH\n8RI6EP9KJdonwdmzZ9mnTx82bFiPw4YNeSRaxGeFJUuWsEuXDmzevBmjowPp729iq1ZNeP369fu2\nc/Hixc59Or/J2jVTOHhQ3wLzf9OmTUyKM7ivadwARgbr+NlnnzEjI4Nff/01s7Oz+dNPP3Hnzp3M\nz8/n9u3b6SEqmBwAVg4DNQrwvTIgezltTAr4WoM6T9Q/h8NxD1tbVlYW165dy/nz53PPnj202+10\nOByslpZGi1RKb4mEGpmMH330EevUqEGdTMY+AAcA9BQE9uzZkyqAvi7noZMrfel2/QJc/78Op+Bl\nJ5ezEgYnVayvzUaS3L59OwWNhhKX8+Hl2heu40gBmkymJ+r34+KVA/H/D4GBgfTx8WH79m3Yr987\nJM/z1q2T7NbtTVosHnznnZbs2LGZS7jN6UDs3v0FtVoNNRoVz5yZTXI5yeXs06cRRVFFq9XEn376\nievWraPNZqZWK9Bs9uDXLrFdkpwyZTL9/Czs3z+VtWvHsUSJxAK1Sr1796TFomGrVlGMjPRgtWq+\ntFpVLFrURFGU8c0329xXqPEVnhyvHIjngPvlrH29aBHNHgLLJhho8VAzvcXrLBYup+NbkCvBIzNA\ntUpGb08jZw0Br28EJ/UGg7zB9zqC8aHOm6xjPVi+iJMubcOGDZwzexb9vQUOaw+G+YMqJeihl3Dr\nbJB7nNa/Hdi9BRjoDRYtDPZtD7cD8XE/CRvUq1KgrZMmTaJFo3HXPfi5blaCWk3NXTculVLJGzdu\ncNasWRTUasplMoYXKkS9RsOSgNvMokijTkepVMogf3/u2bPHfa7YqCjGu5yHqgDNKlWBGoz7Yffu\n3dS7CqjLwqlbMW3ag2sFtm3bRrNZwevX40kWYWZmLBUKcNKkQM6ZE0Jvbx0HDRrEuDgLz50rQzKV\nubkp9PAQmJmZyWvXrlEQlLx8uRLJ6rTbq7FIEU9+9913LtVJGXNyavI2K1Pz5oVYpkwSq1Xz54cf\nFmZGRjQ9PT24a9cuLlq0iMnJPrTbnarWv/1WkUaj1h09Onr0KD/++GNOmDDhoauxf8X/cg0E78zf\nf6US7YvKYX1R512yZAkPHTrEhLgwtm+i5KKPwVqpGtarU4UOh4O//vor01s0p16r4KoM5zXtqyGg\nXpQz1EfD7rXkjA8V6G0RGRukpZ9VTaOooFohoVYJ9ksBP6sHBnuA7xaH24HoXQKsWqH0Y7d36dKl\n9DQaKJNKWDw6ikeOHHno9g6Hg5s3b+bChQs5b9489/vr1q1j3cqVWTM11R1F7f3uu5QC/A/AuS4r\nqtVy7ty5VLiiEN3uslDXwoyHIHDq1KnuY1evWpU2V4RC7nIalK6/eoBaUXzsfj8JXjkQzwYvU177\n37WldOnStFqt7N69K729Pfnbb5uZlXWczZo1YFxcJNu2bUJR1NBo1HHo0Dc5f/77DAsLYNOmTanT\nabhgQR+Sy5mX9w1TUmJpMAicMKENo6MjaLWaOHx4PZrNWhYtGki1Ws4xY0YVaNvgwYM4YcKEAtF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vP6TI4Eglbnfn3kyBHUrVoJR44eQ26+HTV1QLoKyLgBiBHFgH37EP3dMqzbuBYzP52ITb/s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\nAAAAAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f4483b87d68>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"titles = [\"MDS\", \"Isomap\", \"t-SNE\"]\n",
"\n",
"plt.figure(figsize=(11,4))\n",
"\n",
"for subplot, title, X_reduced in zip((131, 132, 133), titles,\n",
" (X_reduced_mds, X_reduced_isomap, X_reduced_tsne)):\n",
" plt.subplot(subplot)\n",
" plt.title(title, fontsize=14)\n",
" plt.scatter(X_reduced[:, 0], X_reduced[:, 1], c=t, cmap=plt.cm.hot)\n",
" plt.xlabel(\"$z_1$\", fontsize=18)\n",
" if subplot == 131:\n",
" plt.ylabel(\"$z_2$\", fontsize=18, rotation=0)\n",
" plt.grid(True)\n",
"\n",
"save_fig(\"other_dim_reduction_plot\")\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {
"collapsed": true,
"deletable": true,
"editable": true
},
"source": [
"# Exercise solutions"
]
},
{
"cell_type": "markdown",
"metadata": {
"deletable": true,
"editable": true
},
"source": [
"**Coming soon**"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"collapsed": true,
"deletable": true,
"editable": true
},
"outputs": [],
"source": []
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 3",
"language": "python",
"name": "python3"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.5.2+"
},
"nav_menu": {
"height": "352px",
"width": "458px"
},
"toc": {
"navigate_menu": true,
"number_sections": true,
"sideBar": true,
"threshold": 6,
"toc_cell": false,
"toc_section_display": "block",
"toc_window_display": false
}
},
"nbformat": 4,
"nbformat_minor": 0
}