{ "cells": [ { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "import numpy as np\n", "from sklearn.datasets import make_blobs\n", "from sklearn.neighbors import kneighbors_graph\n", "from scipy import sparse\n", "import networkx as nx\n", "import matplotlib.pyplot as plt\n", "from sklearn.cluster import KMeans\n", "from sklearn.metrics import homogeneity_score, completeness_score,v_measure_score\n", "import seaborn as sns\n", "sns.set_style('darkgrid', {'axes.facecolor': '.9'})\n", "sns.set_palette(palette='deep')\n", "sns_c = sns.color_palette(palette='deep')\n", "%matplotlib inline\n", "\n", "\n", "random_state = 213\n", "np.random.seed(random_state)" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "data_size = 150\n", "features,y = make_blobs(n_samples=data_size, centers=3, random_state=213)\n", "#print(x.shape, y.shape)\n", "\n", "data_size = features.shape[0]" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "((150, 2), (150,))" ] }, "execution_count": 3, "metadata": {}, "output_type": "execute_result" } ], "source": [ "features.shape, y.shape" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "8" ] }, "execution_count": 4, "metadata": {}, "output_type": "execute_result" } ], "source": [ "n_neighbors = 8\n", "knn_dist_graph = kneighbors_graph(X=features, \n", " n_neighbors=n_neighbors,\n", " mode='distance',\n", " metric='euclidean',\n", " n_jobs=6)\n", "n_neighbors" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(150, 150)" ] }, "execution_count": 5, "metadata": {}, "output_type": "execute_result" } ], "source": [ "knn_dist_graph.shape" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "matrix([[0. , 0. , 0. , 0. , 0. ,\n", " 0. , 0. , 0. , 0. , 0. ,\n", " 0. , 0. , 0. , 0. , 0. ,\n", " 0. , 0. , 0. , 0. , 0. ,\n", " 0. , 0. , 0.91788813, 0. , 0. ,\n", " 0. , 0. , 0. , 0. , 0.86848119,\n", " 0. , 0. , 0. , 0. , 0. ,\n", " 0. , 0. , 0. , 0. , 0. ,\n", " 0. , 0. , 0. , 0. , 0.99694799,\n", " 0. , 0.07901512, 0. , 0. , 0. ]])" ] }, "execution_count": 6, "metadata": {}, "output_type": "execute_result" } ], "source": [ "knn_dist_graph.todense()[0][:,:50]" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [], "source": [ "sigma = 1" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "C:\\Users\\Muhammad Jamal Ahmed\\Anaconda3\\lib\\site-packages\\scipy\\sparse\\_index.py:127: SparseEfficiencyWarning: Changing the sparsity structure of a csr_matrix is expensive. lil_matrix is more efficient.\n", " self._set_arrayXarray(i, j, x)\n" ] }, { "data": { "text/plain": [ "matrix([[0. , 0. , 0. , 0. , 0. , 0. , 0. , 0. , 0. , 0. , 0. , 0. , 0. ,\n", " 0. , 0. , 0. , 0. , 0. , 0. , 0. , 0. , 0. , 0.5, 0. , 0. , 0. ,\n", " 0. , 0. , 0. , 0.5, 0. , 0. , 0. , 0. , 0. , 0. , 0. , 0. , 0. ,\n", " 0. , 0. , 0. , 0. , 0. , 1. , 0. , 1. , 0. , 0. , 0. ]])" ] }, "execution_count": 8, "metadata": {}, "output_type": "execute_result" } ], "source": [ "sigma = 1\n", "similarity_graph = sparse.csr_matrix(knn_dist_graph.shape)\n", "nzeroindices = knn_dist_graph.nonzero()\n", "similarity_graph [nzeroindices] = np.iterable(np.asarray(knn_dist_graph[nzeroindices])**2 / 2.0 * sigma**2)\n", "similarity_graph = 0.5 * (similarity_graph + similarity_graph.T)\n", "similarity_graph.todense()[0][:,:50]" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [], "source": [ "similarity_graph = 0.5 * (similarity_graph + similarity_graph.T)" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "matrix([[0. , 0. , 0. , 0. , 0. , 0. , 0. , 0. , 0. , 0. , 0. , 0. , 0. ,\n", " 0. , 0. , 0. , 0. , 0. , 0. , 0. , 0. , 0. , 0.5, 0. , 0. , 0. ,\n", " 0. , 0. , 0. , 0.5, 0. , 0. , 0. , 0. , 0. , 0. , 0. , 0. , 0. ,\n", " 0. , 0. , 0. , 0. , 0. , 1. , 0. , 1. , 0. , 0. , 0. ]])" ] }, "execution_count": 10, "metadata": {}, "output_type": "execute_result" } ], "source": [ "similarity_graph.todense()[0][:,:50]" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "C:\\Users\\Muhammad Jamal Ahmed\\Anaconda3\\lib\\site-packages\\networkx\\drawing\\nx_pylab.py:579: MatplotlibDeprecationWarning: \n", "The iterable function was deprecated in Matplotlib 3.1 and will be removed in 3.3. Use np.iterable instead.\n", " if not cb.iterable(width):\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Let's see how the graph looks like\n", "nx_graph = nx.from_scipy_sparse_matrix(similarity_graph)\n", "\n", "nx.draw(nx_graph, with_labels=True)\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(150, 1)" ] }, "execution_count": 12, "metadata": {}, "output_type": "execute_result" } ], "source": [ "degree_matrix = similarity_graph.sum(axis=1)\n", "degree_matrix.shape" ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "matrix([[ 7. ],\n", " [ 6. ],\n", " [ 8.5],\n", " [ 9.5],\n", " [11.5],\n", " [ 6.5],\n", " [ 6. ],\n", " [ 8. ],\n", " [10.5],\n", " [ 9.5]])" ] }, "execution_count": 13, "metadata": {}, "output_type": "execute_result" } ], "source": [ "degree_matrix[:10]" ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "matrix([], shape=(1, 0), dtype=float64)" ] }, "execution_count": 14, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# Checking for outlier data point having no neighbor i.e degree = 0\n", "degree_matrix[degree_matrix == 0]" ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(150, 1)" ] }, "execution_count": 15, "metadata": {}, "output_type": "execute_result" } ], "source": [ "np.asarray(degree_matrix).shape" ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([[7. , 0. , 0. , ..., 0. , 0. , 0. ],\n", " [0. , 6. , 0. , ..., 0. , 0. , 0. ],\n", " [0. , 0. , 8.5, ..., 0. , 0. , 0. ],\n", " ...,\n", " [0. , 0. , 0. , ..., 6. , 0. , 0. ],\n", " [0. , 0. , 0. , ..., 0. , 6.5, 0. ],\n", " [0. , 0. , 0. , ..., 0. , 0. , 8.5]])" ] }, "execution_count": 16, "metadata": {}, "output_type": "execute_result" } ], "source": [ "np.diag(np.asarray(degree_matrix).reshape(data_size,))" ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [], "source": [ "diagonal_matrix = np.diag(np.asarray(degree_matrix).reshape(data_size,))\n", "L = diagonal_matrix - similarity_graph" ] }, { "cell_type": "code", "execution_count": 18, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "matrix([[7. , 0. , 0. , ..., 0. , 0. , 0. ],\n", " [0. , 6. , 0. , ..., 0. , 0. , 0. ],\n", " [0. , 0. , 8.5, ..., 0. , 0. , 0. ],\n", " ...,\n", " [0. , 0. , 0. , ..., 6. , 0. , 0. ],\n", " [0. , 0. , 0. , ..., 0. , 6.5, 0. ],\n", " [0. , 0. , 0. , ..., 0. , 0. , 8.5]])" ] }, "execution_count": 18, "metadata": {}, "output_type": "execute_result" } ], "source": [ "L" ] }, { "cell_type": "code", "execution_count": 19, "metadata": {}, "outputs": [], "source": [ "# We can also obtain the Laplacian using scipy \n", "\n", "L = sparse.csgraph.laplacian(csgraph=similarity_graph)" ] }, { "cell_type": "code", "execution_count": 20, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([[0.]])" ] }, "execution_count": 20, "metadata": {}, "output_type": "execute_result" } ], "source": [ "x = np.ones(shape=(data_size,1), dtype=int)\n", "\n", "Q = np.dot(np.dot(x.T, L.todense()), x)\n", "\n", "Q.round(10)" ] }, { "cell_type": "code", "execution_count": 21, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "((150,), (150, 150))" ] }, "execution_count": 21, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# Finding eigen values and eigen vectors\n", "e, evecs = np.linalg.eig(L.todense())\n", "e.shape, evecs.shape" ] }, { "cell_type": "code", "execution_count": 22, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(2,)" ] }, "execution_count": 22, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# No. of eigen values equal to 0\n", "e_rounded_off = e.round(5)\n", "e_rounded_off[e_rounded_off == 0].shape" ] }, { "cell_type": "code", "execution_count": 23, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "2" ] }, "execution_count": 23, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# No. of connected components\n", "nx.number_connected_components(nx_graph)" ] }, { "cell_type": "code", "execution_count": 24, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "index_lim = 10\n", "\n", "fig, ax = plt.subplots(figsize=(10, 6))\n", "sns.scatterplot(x=range(1, e[: index_lim].size + 1), y=e[: index_lim], s=80, ax=ax)\n", "sns.lineplot(x=range(1, e[: index_lim].size + 1), y=e[: index_lim], alpha=0.5, ax=ax)\n", "ax.axvline(x=3, color=sns_c[3], label='zero eigenvalues', linestyle='--')\n", "ax.legend()\n", "ax.set(title=f'Sorted Eigenvalues Graph Laplacian ', xlabel='index', ylabel=r'Lambda($\\lambda$)');" ] }, { "cell_type": "code", "execution_count": 25, "metadata": {}, "outputs": [], "source": [ "#plt.figure(figsize=(8,6))\n", "#plt.scatter(np.arange(data_size), evecs[:,1].tolist())\n", "#plt.title(\"Eigen vector plot (Sorted)\")\n", "#plt.show()" ] }, { "cell_type": "code", "execution_count": 26, "metadata": {}, "outputs": [], "source": [ "# Sort the eigen value \n", "sorted_indices = np.argsort(e)" ] }, { "cell_type": "code", "execution_count": 27, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(figsize=(10, 6))\n", "sns.lineplot(x=range(1, sorted_indices.size + 1), y=sorted_indices, ax=ax)\n", "ax.set(title='Sorted Eigenvalues Graph Laplacian', xlabel='index', ylabel=r'Eigen values ($\\lambda$)');" ] }, { "cell_type": "code", "execution_count": 28, "metadata": {}, "outputs": [], "source": [ "#plt.figure(figsize=(8,6))\n", "#plt.scatter(np.arange(data_size), e)\n", "#plt.title(\"Eigen values plot\")\n", "#plt.show()" ] }, { "cell_type": "code", "execution_count": 29, "metadata": {}, "outputs": [], "source": [ "#plt.figure(figsize=(8,6))\n", "#plt.scatter(np.arange(data_size), np.sort(e))\n", "#plt.title(\"Eigen values plot (Sorted)\")\n", "#plt.show()" ] }, { "cell_type": "code", "execution_count": 30, "metadata": { "scrolled": true }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# Get smallest non-zero eigen value's index for obtaining partition to cluster\n", "fiedler_index = sorted_indices[1]\n", "fiedler_index\n", "\n", "# The eigen vector for smallest non-zero eigen value i.e plotting the Fiedler vector\n", "# Plotting eigen values\n", "plt.figure(figsize=(8,6))\n", "plt.scatter(np.arange(data_size), evecs[:,fiedler_index].tolist())\n", "plt.title(\"Eigen (Fiedler) vector plot\")\n", "plt.show()\n", "\n", "fiedler_vector = evecs[:,fiedler_index].copy()\n", "\n", "# Thresholding the values in this eigen vector at 0\n", "fiedler_vector[fiedler_vector < 0.0] = 0\n", "fiedler_vector[fiedler_vector > 0.0] = 1\n", "\n", "new_labels = np.asarray(fiedler_vector)[:,0]" ] }, { "cell_type": "code", "execution_count": 31, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.scatter(features[:,0], features[:,1], c=new_labels.astype(float))\n", "plt.title(\"Clusters plot\")\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "import numpy as np\n", "import pandas as pd\n", "from sklearn.cluster import KMeans\n", "\n", "from sklearn.neighbors import kneighbors_graph\n", "from scipy import sparse\n", "import networkx as nx\n", "\n", "import matplotlib.pyplot as plt\n", "import seaborn as sns\n", "sns.set_style('darkgrid', {'axes.facecolor': '.9'})\n", "sns.set_palette(palette='deep')\n", "sns_c = sns.color_palette(palette='deep')\n", "%matplotlib inline\n", "\n", "from pandas.plotting import register_matplotlib_converters\n", "register_matplotlib_converters()" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "((300, 2), (300,))" ] }, "execution_count": 2, "metadata": {}, "output_type": "execute_result" } ], "source": [ "from sklearn.datasets import make_blobs\n", "#from imblearn.over_sampling import RandomOverSampler\n", "#from collections import Counter\n", "\n", "data_size = 300\n", "features,y = make_blobs(n_samples=data_size, centers=3, random_state=213)\n", "#print(x.shape, y.shape)\n", "\n", "\n", "# define oversampling strategy\n", "#oversample = RandomOverSampler(sampling_strategy='minority')\n", "# fit and apply the transform\n", "#features_over, y_over = oversample.fit_resample(features, y)\n", "# summarize class distribution\n", "#print(Counter(y_over))\n", "\n", "#data_size = features.reshape(1, -1)\n", "data_size = features.shape[0]\n", "\n", "\n", "features.shape, y.shape\n", "#features.reshape(1, -1)" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "inertias = []\n", "\n", "k_candidates = range(1, 10)\n", "\n", "for k in k_candidates:\n", " k_means = KMeans(random_state=42, n_clusters=k)\n", " k_means.fit(features)\n", " inertias.append(k_means.inertia_)\n", "\n", "fig, ax = plt.subplots(figsize=(10, 6))\n", "sns.scatterplot(x=k_candidates, y = inertias, s=80, ax=ax)\n", "sns.scatterplot(x=[k_candidates[2]], y = [inertias[2]], color=sns_c[3], s=150, ax=ax)\n", "sns.lineplot(x=k_candidates, y = inertias, alpha=0.5, ax=ax)\n", "ax.set(title='Inertia K-Means', ylabel='inertia', xlabel='k');" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "8" ] }, "execution_count": 4, "metadata": {}, "output_type": "execute_result" } ], "source": [ "n_neighbors = 8\n", "knn_dist_graph = kneighbors_graph(X=features, \n", " n_neighbors=n_neighbors,\n", " mode='distance',\n", " metric='euclidean',\n", " n_jobs=6)\n", "n_neighbors" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(300, 300)" ] }, "execution_count": 5, "metadata": {}, "output_type": "execute_result" } ], "source": [ "knn_dist_graph.shape" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "matrix([[0. , 0. , 0. , 0. , 0. ,\n", " 0. , 0.08056024, 0. , 0. , 0. ,\n", " 0. , 0. , 0. , 0. , 0. ,\n", " 0. , 0. , 0. , 0. , 0. ,\n", " 0. , 0. , 0. , 0. , 0. ,\n", " 0. , 0. , 0. , 0. , 0. ,\n", " 0. , 0. , 0.21139448, 0. , 0. ,\n", " 0. , 0. , 0. , 0. , 0. ,\n", " 0. , 0. , 0. , 0. , 0. ,\n", " 0. , 0.4538619 , 0. , 0. , 0. ]])" ] }, "execution_count": 6, "metadata": {}, "output_type": "execute_result" } ], "source": [ "knn_dist_graph.todense()[0][:,:50]" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "C:\\ProgramData\\Anaconda3\\lib\\site-packages\\scipy\\sparse\\_index.py:124: SparseEfficiencyWarning: Changing the sparsity structure of a csr_matrix is expensive. lil_matrix is more efficient.\n", " self._set_arrayXarray(i, j, x)\n" ] }, { "data": { "text/plain": [ "matrix([[0. , 0. , 0. , 0. , 0. , 0. , 1. , 0. , 0. , 0. , 0. , 0. , 0. ,\n", " 0. , 0. , 0. , 0. , 0. , 0. , 0. , 0. , 0. , 0.5, 0. , 0. , 0. ,\n", " 0. , 0. , 0. , 0. , 0. , 0. , 1. , 0. , 0. , 0. , 0. , 0. , 0. ,\n", " 0. , 0. , 0. , 0. , 0. , 0. , 0. , 1. , 0. , 0. , 0. ]])" ] }, "execution_count": 7, "metadata": {}, "output_type": "execute_result" } ], "source": [ "sigma = 1\n", "similarity_graph = sparse.csr_matrix(knn_dist_graph.shape)\n", "nzeroindices = knn_dist_graph.nonzero()\n", "similarity_graph [nzeroindices] = np.iterable(np.asarray(knn_dist_graph[nzeroindices])**2 / 2.0 * sigma**2)\n", "similarity_graph = 0.5 * (similarity_graph + similarity_graph.T)\n", "similarity_graph.todense()[0][:,:50]" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [], "source": [ "similarity_graph = 0.5 * (similarity_graph + similarity_graph.T)" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "matrix([[0. , 0. , 0. , 0. , 0. , 0. , 1. , 0. , 0. , 0. , 0. , 0. , 0. ,\n", " 0. , 0. , 0. , 0. , 0. , 0. , 0. , 0. , 0. , 0.5, 0. , 0. , 0. ,\n", " 0. , 0. , 0. , 0. , 0. , 0. , 1. , 0. , 0. , 0. , 0. , 0. , 0. ,\n", " 0. , 0. , 0. , 0. , 0. , 0. , 0. , 1. , 0. , 0. , 0. , 0. , 0. ,\n", " 0. , 0. , 0. , 0. , 0. , 0. , 0. , 0. , 1. , 0. , 0. , 0. , 0. ,\n", " 0. , 0. , 0. , 0. , 0. , 0. , 0. , 0. , 0. , 0. , 0. , 0. , 0. ,\n", " 0. , 0. , 0. , 0. , 0. , 0. , 0. , 1. , 0. , 0. , 0. , 0. , 0.5,\n", " 0. , 0. , 0. , 0. , 0. , 0. , 0. , 0. , 0. ]])" ] }, "execution_count": 9, "metadata": {}, "output_type": "execute_result" } ], "source": [ "similarity_graph.todense()[0][:,:100]" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Let's see how the graph looks like\n", "nx_graph = nx.from_scipy_sparse_matrix(similarity_graph)\n", "\n", "nx.draw(nx_graph, with_labels=True)\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(300, 1)" ] }, "execution_count": 11, "metadata": {}, "output_type": "execute_result" } ], "source": [ "degree_matrix = similarity_graph.sum(axis=1)\n", "degree_matrix.shape" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "matrix([[ 7.5],\n", " [ 7. ],\n", " [10. ],\n", " [ 6.5],\n", " [ 5.5],\n", " [ 8. ],\n", " [ 8.5],\n", " [ 5. ],\n", " [ 9. ],\n", " [ 7.5]])" ] }, "execution_count": 12, "metadata": {}, "output_type": "execute_result" } ], "source": [ "degree_matrix[:10]" ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "matrix([], shape=(1, 0), dtype=float64)" ] }, "execution_count": 13, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# Checking for outlier data point having no neighbor i.e degree = 0\n", "degree_matrix[degree_matrix == 0]" ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(300, 1)" ] }, "execution_count": 14, "metadata": {}, "output_type": "execute_result" } ], "source": [ "np.asarray(degree_matrix).shape" ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([[ 7.5, 0. , 0. , ..., 0. , 0. , 0. ],\n", " [ 0. , 7. , 0. , ..., 0. , 0. , 0. ],\n", " [ 0. , 0. , 10. , ..., 0. , 0. , 0. ],\n", " ...,\n", " [ 0. , 0. , 0. , ..., 9.5, 0. , 0. ],\n", " [ 0. , 0. , 0. , ..., 0. , 10. , 0. ],\n", " [ 0. , 0. , 0. , ..., 0. , 0. , 10. ]])" ] }, "execution_count": 15, "metadata": {}, "output_type": "execute_result" } ], "source": [ "np.diag(np.asarray(degree_matrix).reshape(data_size,))" ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [], "source": [ "diagonal_matrix = np.diag(np.asarray(degree_matrix).reshape(data_size,))\n", "L = diagonal_matrix - similarity_graph" ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "matrix([[ 7.5, 0. , 0. , ..., 0. , 0. , 0. ],\n", " [ 0. , 7. , 0. , ..., 0. , 0. , 0. ],\n", " [ 0. , 0. , 10. , ..., 0. , 0. , 0. ],\n", " ...,\n", " [ 0. , 0. , 0. , ..., 9.5, 0. , 0. ],\n", " [ 0. , 0. , 0. , ..., 0. , 10. , 0. ],\n", " [ 0. , 0. , 0. , ..., 0. , 0. , 10. ]])" ] }, "execution_count": 17, "metadata": {}, "output_type": "execute_result" } ], "source": [ "L" ] }, { "cell_type": "code", "execution_count": 18, "metadata": {}, "outputs": [], "source": [ "#We can also obtain the Laplacian using scipy \n", "\n", "L = sparse.csgraph.laplacian(csgraph=similarity_graph)" ] }, { "cell_type": "code", "execution_count": 19, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([[0.]])" ] }, "execution_count": 19, "metadata": {}, "output_type": "execute_result" } ], "source": [ "x = np.ones(shape=(data_size,1), dtype=int)\n", "\n", "Q = np.dot(np.dot(x.T, L.todense()), x)\n", "\n", "Q.round(10)" ] }, { "cell_type": "code", "execution_count": 20, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "((300,), (300, 300))" ] }, "execution_count": 20, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# Finding eigen values and eigen vectors\n", "e, evecs = np.linalg.eig(L.todense())\n", "e.shape, evecs.shape" ] }, { "cell_type": "code", "execution_count": 21, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(2,)" ] }, "execution_count": 21, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# No. of eigen values equal to 0\n", "e_rounded_off = e.round(5)\n", "e_rounded_off[e_rounded_off == 0].shape" ] }, { "cell_type": "code", "execution_count": 22, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "2" ] }, "execution_count": 22, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# No. of connected components\n", "nx.number_connected_components(nx_graph)" ] }, { "cell_type": "code", "execution_count": 23, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "index_lim = 10\n", "\n", "fig, ax = plt.subplots(figsize=(10, 6))\n", "sns.scatterplot(x=range(1, e[: index_lim].size + 1), y=e[: index_lim], s=80, ax=ax)\n", "sns.lineplot(x=range(1, e[: index_lim].size + 1), y=e[: index_lim], alpha=0.5, ax=ax)\n", "ax.axvline(x=3, color=sns_c[3], label='zero eigenvalues', linestyle='--')\n", "ax.legend()\n", "ax.set(title=f'Sorted Eigenvalues Graph Laplacian ', xlabel='index', ylabel=r'Lambda($\\lambda$)');" ] }, { "cell_type": "code", "execution_count": 24, "metadata": {}, "outputs": [], "source": [ "# Sort the eigen value \n", "sorted_indices = np.argsort(e)" ] }, { "cell_type": "code", "execution_count": 25, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(figsize=(10, 6))\n", "sns.lineplot(x=range(1, sorted_indices.size + 1), y=sorted_indices, ax=ax)\n", "ax.set(title='Sorted Eigenvalues Graph Laplacian', xlabel='index', ylabel=r'Eigen values ($\\lambda$)');" ] }, { "cell_type": "code", "execution_count": 26, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(8,6))\n", "plt.scatter(np.arange(data_size), e)\n", "plt.title(\"Eigen values plot\")\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 28, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(8,6))\n", "plt.scatter(np.arange(data_size), np.sort(e))\n", "plt.title(\"Eigen values plot (Sorted)\")\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 29, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# Get smallest non-zero eigen value's index for obtaining partition to cluster\n", "fiedler_index = sorted_indices[1]\n", "fiedler_index\n", "\n", "# The eigen vector for smallest non-zero eigen value i.e plotting the Fiedler vector\n", "# Plotting eigen values\n", "plt.figure(figsize=(8,6))\n", "plt.scatter(np.arange(data_size), evecs[:,fiedler_index].tolist())\n", "plt.title(\"Eigen (Fiedler) vector plot\")\n", "plt.show()\n", "\n", "fiedler_vector = evecs[:,fiedler_index].copy()\n", "\n", "# Thresholding the values in this eigen vector at 0\n", "fiedler_vector[fiedler_vector < 0.0] = 0\n", "fiedler_vector[fiedler_vector > 0.0] = 1\n", "\n", "new_labels = np.asarray(fiedler_vector)[:,0]" ] }, { "cell_type": "code", "execution_count": 30, "metadata": {}, "outputs": [ { "data": { "image/png": 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7AwJMtH+9RaIxCoLw/HpukrfL5eKdd0ewZetOzGYLOp2WyVPmMHXKaJo1/W9NybCw+3TuOjB2piPAufOXaNKsC263W3E1eF8cDie3bt3h5s07HDsux5uEY7VaOXv2Itu3/83rr7eK3b5o0UouXbzqM3GDp9+7W9d2GI0Gvp8zgV59BgGe8fIqlYrOnVpTs0Zlv+MUBOH589wk781bdrBl687YiSwx08nf/2AkdWpXix0j/evK370StNvtxmbznUx9cblchL6Ugw0btym21iMjozh46Hi85P37hj/i9XE/LkuWTHw/Z0LsbwzVq1dk3971bNi4jYiISGrXqkKhQvmfOFZBEJ4vz03yXrlyvdcMRACtRsPfu/+lQf2agGfMtNI09aTIkCEIh93Bho1/KtYn0em0hObMHm9blsyZErxmt67tqFixbLxtwcFBoptEEIR40uxiDPv3H6Flqx4UKlyNipWaMv+HJQkWcPI16sMNqNVqDh46xuo1G8mXLxeBjy0wnBRarZaPPnyLrt3f4fDh44rH2O0ODh854YnD7ebipas0a1YPg0GveLzJaKR2rSpPFMejRxH8sGAp7773Kd/OmM/du/ee7IMIgpAupcmW9/HjMp26vBXbFXHz1h2+HvctYWH3GTpkgOI5HTq0jNdtEsPtdjNu3AwuXrqCWq3GbrdjNBgwGg1JboFrtRreGvAGZcuWZMyY6T6KRnksX7GOevVqMHjI5zx48AgAo9GASqWK92VkNBqoX78Gr7xSxu84bt66Q/PmXXkUEYnZbMFoNDBz5o+sWP69WFNTEJ5zabLlPWnKHK/EajZbmPv9/3yOBKlZozIdOrTCaDSg1+sJCDAREGBCkgpx5ux5oqLMREREYrXasFitVKpUjsKFC/LyywWeqGKgVquhefMGNGtajwsXLqNSJ3yuw2Gnb78hsYkbPMMKVSoVb/brRuVK5WhQvyZTJ49m0sTPmTBxFhUqNqFk6bq8/8FIbt664/PaY8ZMI+xeeOwzsVisPIqIZMiHX/j9eQRBSJ/SaMv7tGIXiVqt5tq1m7z8cn6vfSqVitGfD6Fbl7bs2LmHoKBAateqSrUaLbDbHfGOtVptnD1zgb171hEWdp9KVZr5rJf9OIfDyZo1m9i48U/ef69Pgq1uT1xqXC7vESwulwurzcbyZXNjt3V741327Nkf+8W1avUGdu7ay5/bVijWV9mydafi6Jjjx2XMZkuyFNQSBCFtSpMtb6XkDJ6hcjlzZvN5nsvl4sbNW+h0OgoWyIvBqNy3DMRORw8JyUzJkkXRaOI/Cr1ej1ar/N3mdruxWCxMmzaPcuVK+uzD9hzrO7kfO3oq9s8nT55h794D8X7jcDqdPHoUwbLlaxXP93VftUr1RNP3BUFIf9Lkf+EfvNfXq9VoMhnp1LG1zwp/YWH3qVf/dfq9+SFffDmZrt3foUeP9+PNnoyh0WioX69m7M+jRw0lICAAjUaDVqvBaDSg0WhwOBxe58YVZTbTr29XundrR2BgQGz3i1qtxmQyYjIZad7c90JDpUoVjf3zP/8ewun0TvRms4UDB48qnh/TTRSXTqelfv0aCX6hCIKQ/qXJ5F2hQmlmzxpPgfx5UKlUBAYG0Kd3Z0Z+NsjnOR8N+5JLl68SGRmFxWIlKsrMseMyxYsXITDAhF6vA8BkMpAlSyY++mggBw8do2PnAbRs9QYREZE4nU7cbk8XjNnsPexQycEDR6lduxpOp4u4Xedut4vlv8xl0oTP0el0XudpNBref68PADt27mH06MmKY80NBj0vF1JeZef9d/tQsWJZTCYjAQEmAgNMFCqYn/HjRvgVuyAI6VearypotzvQajUJvlQMDg4mJFtxxZZycHAGevfqyPY/d6NWq2napC6dOr7GP/sO8tbA4X5NhU+IwaBHr9fx6FFkvO0qlYp6dauz4Icp3Lx1l8ZNOnLvXjgqFWTJkpkf5k2mXLmSWCxWylVoREREpOL1g4IC2bH91wRX8jl+XObEyTPky5ebiq+USdKSbWm9oltajw/Sfowivqcnqgo+AZ0fBZhcLpfPvuWHDx/x3XcLsVitBAaYUKtUvNG9PR9/MvapEzfgtaJ7DLfbzd5/DnLk6Ene6PEeNpudwMAAHA4HQwb3p1y5kgAJLnAcHJyBpYu/S3QJthIlJEqUkJ7ugwiCkK6kyW6TJ2UwGChfvrTPFmfMdPTIKDNHj8nMmfszYWH3UzyuTJmC6dJ1IHfv3iMiIpLIyCisVhujRk/m+HEZALfLha92co3qFSlZsqiPvYIgvMiei+QN8M24EQQHByXaZWCxWFi3bkuSuhbUapXvtS4fo9frqFWzsuKixna7jcVLVgFQpUoFnArDDQMCTLRt2/yJYxQE4cXw3CTvQoXyM3zYO+h8DO+LS6fX06plY79HZKjVaipWLMuev9cy4pP3FMdPazTqeMPz3G74deV6xX54p9NFePhDwDOKZvq0L6MnF+lQqVQEmIw0alg7th6LIAjC49J8n/eTOHHijOLiBnGZTEY6d2rNa681JSIyiq1bd6LTaYmMNPusneJyuThy5AR2u4NWLRszfvxMLBZr7PEajYYc2bNx7/792HHadrsdX6EEBJho0qRu7M+NGtZm545VrFmzkUePIqhTuxrly5dK0m8HgiC8GNJ9y3vXrn9o36Efbdr14caNWz5b01qNBpPJSK1aVejQviUmo5HZ343j711raNSwduxQQl/UajV79h4gQ4YgVq2cT4UKpWPHhdeoUZHu3dv5lWw1Gg2lSxWjSeM68bbnzJGNfn27MnhQfypU8N1/LwiCAOm85T3zux+ZMnVu7KgRo9HgNc1drVYTHJyBtwf2oEqVCpQpXZwDB46yeMkqIiIiqVevBut+35rg4gjg6SuPqdhXsGA+Vq7wrLijUqkwGg18O+MHv6bYq9Uqihcv4nP2piAIgj/SbQa5H/6ASZNnx0u6FosVg0FPcHAQDx5EgNtNmTLFmT7tq9jFDWbN/olJk2fHdnts2brTq/aJErcbpk77nk6dWpM5U0aAeH3fRoPBr1V47HYHi5esYuRng8QUdkEQkixJyVuSJB3wI5AfcAJ9ZVk+leBJyezggaPo9TqvFrPVaqNY0cJMmTwarVZD5jiLH9y9e49vJsyM10J+krKwZrOF77//H0OHvBVv+yn5LOO/men3daxWG1abDZNRFI4SBCFpktr0awZoZVmuBowGvkq+kPyTKVNGXC7vF4wqlYps2ULIli0kXuIG2PXXP4nWK0mI2+1mzlzvsrTz5y/BZvd/GbW8eXOJxC0IwlNJarfJaUArSZIaCAYS7OzVaDSEhCQ8S/BJNWhQm+zZsnLJfDVeWVaj0ci77/ZVvJ/NZldM+E/CarUy7OMxzPz2a4KDMwBw/cYtxaJSSjQaDdOmfpnsz+NpabXaNBdTXGk9Pkj7MYr4nl5aijGpyTsCT5fJKSAr8GpCBzudzhSpB7Bw4TS6v/Eut2/fRa1W4XS4+HzkIAoWyKN4v+/nLfLruiqVCp1Oq/gC0u2G1as3cODAUdav+5mgoEAqVSzH3j0HElxYOIZOp6Vc2RJproZDWq8rkdbjg7Qfo4jv6T2D2iY+9yW12+QDYKMsy0WAMsCPkiSlej9A/ny5+XPbCrZsXsa8uRM5eGATnTq9pnjs1as3OH36fKLXDAoK5KeF05gz+xv0euVhh06nixs3brFk6WoAunVrS3DGDH7FnFDL/8bN20ycNJu33v6YhQuXERkZ5dc1BUF48SQ1ed8HHkT/+R6gA5RXAE5hKpWKMqWLU7XqKwTEWVj4zp0wFi1eyeLFq7hzJ4wjR074NaPS7XaRMWMwdetUo1TJoj6H9FmtNjZs3A5A5kwZWb/uZ0JDsyseG0OjUVOvbjXFfQcPHqNuvXbM/O5HfvttE1+OmUq9+q/HDk+02x2MGz+DUmXqUfDlKnTo2J+Tp84m+nkEQXg+JTV5TwbKS5K0E/gD+FiWZeWaps/AkiWrqFq9BZ+PmsjIUROoWr0Fx6ILQSXGZrPT+rWeVK7SnFdfbUCJ4kV8Hhu3rz179qyM+OT9eF8gcRmNBrJkzsyoz4d47bt+/SZdu79NZGRUbE1vs9nC7TthTJg4C4D3PviM7+ctIjz8IXa7g793/0ubNr24evWGX59LEITnS5L6vGVZjgDaJ3MsSWY2W1i5agPXr98kNDQHn3w63mthg9lzPC3jS5euJnitmDHfN2/dYfQXk31OmQd4pULpeD+3eLUh27f/zW9rN+N2u9FqNDicTho1rEPVqhV4rXUTr5WArl27SaMmnXj4MMLr+g6Hg02b/+Tdd3qxadN272GRNhvz5i9i5GeDE/xMgiA8f9LtJJ0YFy5cpu3rfYmKMmOxWFGr1YrDAVUqaNumGcuXr+Xylet+XTuhxK3TaXm9XYvH7qFi0sTP6devK7v//pfMWTLRqGFt8uTJ7fMlx5SpcxPs2370KIJjx2X0er1X8rbbHRw+ctKvzyIIwvMl3Sfvd94bwd2792ITra9Zji6XC5PRyM4dqxg8ZBSr12zCnkgRq4S0atmYwoWVlycrKr1MUellv67z19/7EpyZabc7WLR4peISaVqtNsFuHUEQnl/pen72vXvhnDhxJsEWcgyNRkPDhrVQq9VMnjSKUaOGJHmRXpVKxcQJI33uv3z5GsuWr2Xr1l2JTr3PnsgqOU6nk50791K9WkUMhviLDev1Ovr06ex/4IIgPDfSdfJ2u90kVHxPrfbU2DYaDQzo/waFCuX/71yXy69CUkoqlC/Nv/uPMGjw57w1cDjrN2zD5XJxSj5L564DqVOvLUM//IKevd+n4MtVKFOuHjt27lG81oABbyjWB49Lo9Hw6YgP6Nz5NUwmIyqVirJlSvDL0tnky5s7SZ9BEIT0LV13m4SEZKZw4YKcOHE6XuvbYPAsthCSNQsqVLRs0dBrjcc7cbpankRAgIkiRQrStdvbscWttv6xi4AAE+HhDxX728+cuUDvPoMZO+ZjQkIyIxUpyEsveQplNW5UhyGD+zNx4mxsdpviyjsmk5ECBfIw+vMhjBo5GLfbLYpaCcILLl0nb4DpU7+kTbs+REVGYbPbMej1FCyQj9Gjhia4ZNm2bX8rbtdo1OTLl4fz5y957XvppRxMnfolXbsOjPfyMCrKTFSUOcE4LRYrgwZ/TlBQIDabjWbN6jNpwki0Wi39+nalW9d27Ny1l3ff+xSr1RqbxE0mI6NHDUWj8QyjV6lUota3IAjpu9sEQKvTolarcBPdilbBvfv3eRSR8LBzq0V55Xi9Xs+FC5cV992//4CLFy7HJtIn5Xa7efQoAqvVxvr1fzDzux9j95milz7bsmkpHdq3onDhAtSrV52fFk6nVcvGSbqfIAjPr3SfvIcN+4r79x/Evhi0Wm3cuXOPL76Y7POcffsOcU6hZQ0QkiUzWq1ycg4wmQgKCkSdDC1fi8XKjwuXeW3PnTuUr8d+zB9blvHjD1OpXKncU99LEITnT7pO3jEzDR/vu3a5XGza/KfP874eP8PnKJA5s7/htdZNveqaGI0GunZtS/16NZ4+8GgRifx2IAiC4Eu6Tt737t33uc9XAajTp89z9KjyxBaDQU9oaHZGjxrKKxVKYzQayJAhCINBT9261Xnv3T6YTEYWLJia6JqXiVGpVFSvVvGpriEIwosrXb+wPHL0JFqtRnGERtasWeL97HA4eGvgcLZt/9vnepUajYaMGYPR6bQsXTKL06fPc/HSFYoUKUT+fP8NyatcqRwrln1Pm3a9/VpC7XF6nQ6jycinI95/4nMFQRAgnSfvrCFZ0Ov0OBzeIz2qVikf7+d585ew/c/dPpc9M5mM9O3TBZ3uv0dSpEhBihQpqHh82bIlGDyoP5OnzAFIdAFjg0FP6VLF0Gi1lC9Xkp49O5IzR7YEzxEEQfAlXSfvsmVLkCNHVi5dvua1mk7fPl3iHfvTz8u9li+LERgYwJtvduO9d3o/0f0HvtWD1q2a8PGIr9mxY7fibwB6vQ6tVku1qq8wZ/Y38b4cBEEQkipdZxKVSsWi/82kb78hnDt/KXYI35ivhnlNyvHV4tbrdWzbujzRWty+5MqVk4zBGRQTt8Ggp3nzBgweNIC8eXyviCEIacXRo6fYuGk7Op2Wli0aUaBA3mcdkuBDuk7e4Bla98/eDfzzz34ePoqgeLEiijVLmjSpy6JFv3r1UefKFUrOnE/XfVGxYlk2bNzm1bJXqVQM6N+dcmVLpvnlnQRh9BeT+fnnFVhtNtRqFd/O+IFPR3xA927tnnVogoJ0PdokrkKF8lOubEmfxaYGvd+PHDmyxdYR0ev1BAaYmDzxc8UZi1euXGfI0NFUr9GKtq/3Zdu2v3zeu22bZmTOnClel4jRaKRmzcp+VxcUhGfp4KFj/Py/FZgtFlwuFw6HE4vFyugvJnH79t0Ez3W73Vy5cp2wMN+jv4Tkl+5b3v7KkiUTWzf/wq8rf2fvPwfJny8PnTu/RmhO7+6SK1eu06RZZyIjzTidTi5fucabR08y4pP3FVshAQEmfl/7ExMmzWLDhm0YjQa6dG7Dm/26pcZHE4Sntm7dVsWuRbVazdatu+jUqbXieX/9tY8PBo/k/v0HuFwuypcvxYzpY8iePWsKRyy8MMkbPEm2a5e2dO3SNsHjPAskmOPV2TabLYz9ejod2rdUbN2HhGRm7FfDGfvV8GSPWxBSmkajQa1W4XTGnx+hUqlQa5R/Qb946So9e38Qr7vw338P06nLW2zZtFTU4Elhz023SXLas/eA4gIJbreby5ev+XWNyMgo/tyxh/37j8QbCSMIaVHrVo3R6bwnnjmdLho2qEX4g4dMmTqXlq170O/Nofyz7xALFy7zeofkcDi5evUGBw8eS63QX1gvVMvbX6Gh2RWTtMPhICQkc6LnL1m6mk8/8wwLdLlcZMoUzIIfpoj+byHNKlasMO+924cpU+cCKtRqFS6Xi0kTPkOlVtG4cSfC7t3HarWhUqnY/uduChTIq1gCWa1Wc+PGLaBUqn+OF4lI3goGDujBkSMn4/06aDDoqVe3OlmyZErw3OPHZT79bDwWi5WYwoWRkVF07jKQfXt/T3JFQkFIaW8P7EnLFo3YunUnOr2OJo3rkjVrFr6Z8B13w+7HLsXndrsxmy2cOXMeo9Hg1Vdut9spXbr4s/gILxTRbaKgbt3qfDrifYKCAgkMDPAk7no1mDxpVKLn/vy/XxXXxjRHmdm9e39KhCsIySZbthCCMgRx69Zd9v17GIfDwdY/diquoarX6wkKCow3yspkMtK6VRPy5HkpNcN+ISW55S1J0nCgJaAHZsqyPC/ZokoDunVtR4f2rbh06SohIZkTbXHHuHfvPk6nQh+3Ch48eJi8QQpCMrp46SqtWvfEYrEQFWUmMDCA0NAc5MiuvM6q0+lk/vzJrFq5no0btxMYGECPHh3o0vm1VI78xZSk5C1JUh2gGlAdCACGJGNMaYZer/O5QrwvjRrVZvufu71W1rHbHVSuXN7HWYLw7A0a/Dnh4eGxFTkjI6O4dOkqBfLnxmQyxutG1Gg0FC36MuXKlKBcmRKM+vy5TAFpWlK7TRoDR4GVwG/A2mSLKJ1r8WojihQpGG9R4YAAE++83cur0qEgPIkzZy7wxx+7ol8GJmzfvkMMeGsY7dr3Y87cn4mMjErw+KgoMwcPHvUqpWy329m//yiDPngztkSyyWSkeLHCzJs78ak+j/B0VElZhFeSpLlAPuBVoACwBigqy7LixZxOp1tp6F1y0Wq1im+9nxWr1criJatYvnwtGTMFM+DNN6hRo9KzDitBae0ZPi6txwdPF6PNZmPM2GnMm7+IqCgzdepUY/zXn1KoUH4ePHhIu/Z9OXDgCDqdDqvVSvvXWzFzxljFF+Cz5/zEJyPGYjZbcLvdmExGcucKZc/u3+M1KuKKjIwi50ulFYfIZs2ahcsX9/Pw4SMOHz5OtmxZKVo0+UdOPe9/x0mh1+v3A68o7Utq8v4auCPL8sTonw8DDWVZvq10vM1mc6dkbY+QkJA0XTskrccHaT/GtB4fPF2MffsNiVeyWKVSERwcxLaty/l05Dds3vwnNtt/L8JNJiNDBw+gb9/41TMjI6MoW76h1wgQo9HAZ58OoltX3xPUKldtzvXr3q36li0aMuPbsX59jtVrNjJu/AyuX79JrlyhfPThQFq2aOTXuc/733FShIaG+kzeSe022QU0kSRJJUnSS0AgkLafuiCkURcuXvGqNe92u7FYrMz/YQmbNsVP3OCZ8fvDgqWAp4tk4Nsf06nzAMZ/MxOt1vtVlsVi5bffNvuMwWy2+KxNcu/eA78+x6rVGxj64RdcuXIdp9PF5cvXGDxkNKvXbPTrfOHJJCl5y7K8FjgI/IOnz3ugLMsp1y8iCM8xWT6nWOfdarVx4OBRn+c9iojg63Hf0r5jf9b8toldf+3jf4tW+uzfzpZNedQIwM2bt9H6mINw7vzFhD9AtHHjZnhV1rRYLIwbPyPB8+x2B+MnzCRXnrIUKFSFdq/35cSJ037d80WW5KGCsix/mJyBCMKLqkCBPD4X8ihdqhhXr97wmvGrVqsJyZKZGTMXxNtutVoVa4qYTEbeGtBD8f6XL19jwsRZREZ5r0gFIPkxM9jtdnP12g3FfVevKm+PMXjIKNZv+CP2N4+9/xykTbs+bNqwmLx5cyV67xeVmKQjCM+YVKQQ5cqWRK+PX/BMo9GwY+der+RnMHjKGV++cl3xem63G6PRQECAiQwZgjAaDQwd8ha1alXxOvbatZs0bd6Vteu2KF7LaDQw6IN+iX4GlUrFS6E5FPfleimnz/Nu3LzN7+u9KxparTbmzP1fovd9kYnkLQhpwPx5k2jdqjF6vR61Wk3x4kVQq9WcPHkmtrCZSqXCZDLS/83utG7dNMFRD40a1mbFsrnMnjWOA/9upG+fzorHzZi5gKgos2LxtCJFCvLjD1MpV7akX59h6NC3vEazmExGhgwZ4POcC+cve31pgaeO0JGjJ/y674tKJG9BSGHXrt3krYHDKVGqLhUrN2P69Ple1fgCAwOYOGEkp0/t5Iz8F21ea4bT6STuaDC3241araZa1VcICDDiq+KqTqfljTfaU7JkUWrWqEyGDEE+Y/vnn4OKXwIZMgQyaeLnVKvmGehgtlg4ePAYly5f9Xmtdm2bM+bLYbFLCoaGZmfMV8Np26aZz3Py58+tOPVeo9FQorikcIYQQxSmEoQUdO9eOE2bd+XBg4e4XC4ePnzEtG/nc+LUGb6b4T38TqPRoNFoOHPmvOLiCC6Xi0uXrvLqqw1ZsOAXrAqJ7/33+1KpYlm/4suT5yXk0+e8tlssNqZMmcux4zI6nZbbt++i1+mwOxwUL16EeXMnKk46a9fuVdq1exW32+1XPe+XXspJ/fo1+eOPXfE+r8Ggp1+/rn59hheVaHkLQgr6+X+/enVLWCwWNm/ewcVLvlux5cqVJCDApLjPjZsBA4bhjHNNrVaLTqfltdeasGrVBl6p1JShH33BjZvxp16cO3eRj4Z9ReMmnejYaQClShXDZIzf1aHT6XC5XPyxbRc3b97mypXrWK02HkVEYrFYOXLkJL37DE7wcz/JQgzTpnxBt67tCAwMQKVSUbp0cZYumUWB/Hn8vsaLKEmTdJ6UmKSTtuODtB9jWo8PlGN8o8d7/KGw/mlQUCCTJ42iSeM6iteKijJTp15b7twJix2JYjDoKVFCQj51Nt7IEJVKRVBQAA0b1mb9+j9ih+tpNGoyZgxm29blZMmSiTVrNvHeB5/F6ybRaDTky5uL8AcPMZstOJ1O9Ho9ERGRCX5Wg0HPls2/kD9fbr+ejT9CQkK4c+cOanXabVM+D5N0BEHwQ5EiBRXHcDudTvImUDY1IMDE2jULadWqCcEZgggJyUzvXp2oU7sqjsemsLvdbpxOF2vWbIo3ztrpdHHvXji9+w5i7drNvPPeCK/+bafTybXrN/l4+Lts3fwLXbu0TTRxg2c0SOcub3H8uJzosf569CgC+fR5Hjx4lGzXfJ6J5C0IKeiN7u29lhfT6XQUK1aY4sWLJHhu9uxZmTJpFMePbefQgc0MH/YOt27dxWr17ud2OBw+F/r4998jDHznY5/L8VmtNtb9voWs2bKwaPFKPz+ZZ6Hu1zv0I/zBQ9xud5KX+3O5XHz51RTyFXiFNm17U6FiY4Z/MjbN1zl51kTyFoQUlDt3KO+92yfelPV8+XLxw/zJSbpelSrlFfvCPX3MvrtAH68W+LgH4Y+4dOnqE3dZOOxO3n13BCVK1SVfgUrUrd+OXbv+weFw+J3Mv5+3mIU/LcdisRIREYnVamPFinVMmjzniWJ50YjkLQgpaPfuf5kydW68VuS1azf59tsfknS9Zk3rkzt3KAbDf2OjTSYj9epWp0SJpA+tO3HyNK+16a28kEgCzBYLO3bu5dGjCADOnr1Il24DKfhyVQoVrkrjpp2ZP39Jgl0hs+f85DWt3my2MP+HJaTGO7n0SiRvQUhBk6bMUUxMP/283Gu7P/R6HatX/kD/N7uTP38epCKFGD7sHWbOGMuCH6YorgDvj5hWr0bz5Cnh8TKyLpcbt9uNw+HkxInTfD56IpUqN2XvPwcVzw8PVy58FRVlVixRK3iIcd6CkIIuXLiiuF2tVnPnTphftTvcbjcHDhzlytXrlCpZlEKF8tO4UR1cLhc6nZZaNSuj1WpxOpyK66c+CafTiU6n9ZpEpESr1XpNJPIVf5TZQt9+Qzjw70avqoclSxRVLMBVqFA+xQqJgod4MoKQgooXL8ytW3e8trtcLnLkyJbo+RcvXqVN216E3QtHpVKh0ajJ9VIoN27cwma3o1armPndjwwf9g4ZM2ZI8FoZggJx40nQ+fLl5tSps17HWK02tFrlF5+Py5QpmAcPHvn9hWG32Tl48BgVH5tA9PnIwXTo1B+r1YbL5UKlUmE0Ghg9aqhf131RiW4TQUhBgwf1j9c/HcPhcHLo8PEEz33w4BENG3fgzt17uFwunE4nNpudCxcvY7FacblcOBxOLBYrY8ZOIygw0Oe1MmQIYuaMr5n4zWcc3L+JPr07+1xVR6nCoZKwsHvRrX8/u2pUKsVXquXKlWT1qgW0atWEfPly06BBTZb9MoeaNSr7d90XlEjegpCCypQuTulSxby2OxwOPhr2VYLnzp6zUHGKvBK1Ws2du2EEBSkn8KgoM5FRZpo1q09gYAAtWzRCKlIowesZDIYE7+l2e1rxLpeLkJDMaLVan8MVwTNpyFeRq2JFX+Z/P81g145VzP9+EmVKF0/w3oJI3oKQ4k6ePKO4/dKlKwlOiNm6dZff91CpVGg1GtasWqA4lNDpdPLBoM84e/YCs2b/RPlXGnP8hO8JNi6XK7q0rHLrPK6AACMTvvmMC+f28NfO1TRpXCfekEODQY/JZGTWzHGKE5aels1mZ/ee/fyz79ALNTZc9HkLQgoLyhBEhMLqNmq1JsHWbY6c2TjhI/E/LirKzNJffqNEiaKM+Wo4w4Z/icUSfzKP3e5g1BeT2bv3gF8jXWw2GzlyZMVo1PPgwUN8vZd0u4lt8efKlZO5cybgdrv5Z98h/vprH5kzBdOyZWNCQjL79VmexLbtf/P22x/jig5Op9Py/dyJfhfmSs9Ey1sQUlivHh28+pcNBj2tWjVOsCXau1dnxf5yX/7df5h27fty5co1VCrv/7QdDgd79x58oiGKt27dJSRLZsXrxTCZjFR8pUy8bSqVisqVyjHog3707NkxRRL3rVt3efPND3n4KIKIiEgiIiK5f/8B3d94N3bc+fNMJG9BSGH9+nWlZYtGGAz62JVtqlapwJejE15JsHatKgwZPMDv0R/gWQbt+HFZcXZjYGAAVqt/fehxnTt/yedsSZVKRbOm9Z6oimByWb1mAy63d1xut5v1G7alejypTSRvQUhhGo2GCd98xs4dq5g9axybNy3lp4XTfZZ8jav/m92oXauq3/dyOl2cOXuRtwb0wGQyxibVgAATTRrX5eWX8yf1Yyhyu90sXbqGL7+a6tfxhw4f57U2vSlUuCrlX2nMrNk/JakmypUr1/np5xWKdV7sdofPiT/PE5G8BSEFud1u5s1fQtnyjahUuRnDPx6LrDC+2maz+5zscsXHWpVKVCoVhQsXYNAH/Vj08ww6dGjJa681Zea3Y/lxwTRGfjYIozHhUSRK10yIxWrlp5+X+1y1PoZ8+hztO7zJv/sPY7PZuXMnjEmTZ/PFl1OeKJ6HDyNo0eoNLvmoh67VaKhRvdITXTM9EslbEFLQrNk/MW78t4SF3QPg0qWrvP3uCLZt/xuAP/7YRbUaLSlUuCr5C1amVp02/Pnn7tjzDx46xrnzF/2+n8Fg4N23ewPwyitl+Gbcp0yb8gX169dArVZTq2YVFv44jfxPsNBBYGBAon3vGo2Gm48t/PC46dPnebWUPaUCVvDwof991MtXrCUqyqz4ZWcw6Hn11QaJVmx8HojkLQgpxOl0Mv3b+V4vCC0WCxMmfMc/+w7Rr/+HsS1rl8vFhQuX6dHrfWZ+9yMAv/76u9/FojJkCGT+vImUKlU0weOqVqlA4ZcLJHiMweBZfV6n01KqZFFeb9cyweOdTiehPlaPj3H0mHJfvE6n5cqVawmeG9ex47LiS1e1Wk3711swccJIv6+Vnj1V8pYkKbskSVckSUr4X4sgvIAePnzk8wXhhYuXmTRpto/a3E4mTZ5N+IOH2Pycem40Gpg7ewJ3796nR6/3qV2nLWXLN6Rp8678tnZz7HF37oQx/dv5nDzlewhiSEhm3h7YA7VKhUajYfee/SxbvgatVqM4CUen09KrZ8fYPvzIyCh279nPyZNn4rWOixQpqNgFY7fbeSlXTr8+J0CJYkUUZ4cajQZea930mbw8fRaSPM5bkiQdMBswJ3asILyIgoMzYDQasdm8E3DBAvk4d/6Sz3O1Wi2HDh2n5auNWLTI9wIJnoSqpVvXdoz7ZganTp2N1yoNC7vP4CGjuHjxCm3aNKdBw/bY7Y4ER53UqlmFEydOE2U2x9YBj/mSCQoKxGaz4XB4Zlbq9ToaNqhFwwa1cLvd/Py/FYz+YjI6nRaHw0nuXKEs/HEauXOH8u7bvfnzz93x4jMajbzWugmZM2X0/SAf07Zdc6ZO+x6r1Robn06no2DBfLzy2JDF59nTtLwnALMA/9+mCMILRKPR8P57fb1aiUajgY8+Gkjx4oV9nut2u8mcOSPVqr1CtmwhPo8rVCg/mzYsolChfF6JO4bZbOGbCd9RvUaL6MUOfCduk8nI++/14c8dexQXcIiKMrP+90XMmTUeqUghtFotf2z7iy7d3qZBow6M/mIyFouVR48iMZstnDt/ia7d38btdlOqVFF+mDeZwoULoFKpCAwMoFfPDoz5apjPeJRkyhjM6tULqF6tImq1Gr1eR6uWjVi6eNYL0+qGJC5ALElSDyC3LMtfSpK0Hegvy/IpX8c7nU53Stbl1Wq1aXpabFqPD9J+jGk9PlCO0e12M/+HxYz9ejq3bt2hcOECjB3zCY0b1eHAwaPUb/C6VzJVqVQUKpSfwwe3olKp+PHHpQwYqJzgsmbNQvlypbh46SqnT59LcuxBQQHUrlWV0aM+olixwuTJW56we/e9jtPpdNy7e5I+fQezctXv8X6rUKvVPseXb9q4NF5dk5hl2+Im26T8Hcfkr9RK2qn971Cv1/tcgDipyXsHnjWX3EBZ4DTQUpblm0rHi9Xj03Z8kPZjTOvxQdJi3LfvEO++/ylXr97w1CfRasmfLzc/LphKnugFiiMiIilTroFi90sMX4nTXwaDnsMHtxAYGADAB4NGsnzFOq/jihQuyJbNSylUuJrfpWAzZAhk1nfjqFWzSoLHPa9/x08jodXjk9TnLctyrZg/x2l5KyZuQRD+43a7iYiIxGg0otNpqVixLLv/+g2z2cLhIyfImDGYolKheC3JoKBAPvn4Pb4e963Pqe1Pk7jB06f9znsjmP/9JADu3VOe5HLp8tUnXuHGYrZy8eJVShS/H2+a/I2bt5k/fzEHDx2nWNGXGTL4LTJmDHri2C9cuMz167coXrwwmTNnSvDY8AcP+e23TYSF3adypXJUqVIh3Xa1iMJUgpBKtv+5m08++ZrrN26i0Whp374FIz8dFFt1r0rl8j7P7dWzI8WKvsy8+Us4d/4Sly9fTbAlnhTbtv1NZGQUgYEByD66YLRaLTdv3qZqlfLs3rM/Xr+4Wq3GaDTgcrnil7JVqfhqzFRGfzGJMV8Np/3rLTh79iItW/fAarVis9nZv/8Iy5avZfH/ZlKunHLZ2MeFP3hI796DOHL0JDqdDpvNRq+eHRk+7B3FhLx//xG6dHs7Nj6TycgrFcpELx+X/lLhU4/zlmW5TkL93YIgwOEjJ+j35lAuX7mGw+HEarWybNlvDBr8eaLnut1uNm/ZwczvfiQs7B5161ZLsG52Uul0Oq5fvwXgcxq90+EkR45sjB3zMRmDg2NfxppMRrJkycRvq39kyKD+lC5VLLYsrN1uJyrKjNVq4+NPvubq1RuM+mISERGRsV9ADoeDyMgohn08xu9433//Mw4eOhb9gjQCq9XGDwuWMnHybBYvXsWevQdi+8RdLhdv9v+QyMgozGaLZ2m2KDP7/j3E0l9WJ/WRPVPp7+tGENKhGTMXeC2sYLFY2bhpO3fv3iNr1iw+zx0zdjoLf1pGVJRnVO6x46dTZGFel8tFaGh2AD54ry979x6IF7PJZKRTx9YEBQUSFBTIjh0rWbF8HSdPnaFkyaK0bdOMDBmCKFKkIHq9jtNnznt9Zrfbxdp1W9izZ7/iDMlTp85gs9nR6xNened++AN27trrtdamxWJl2rR5GI0GVCoV+fPnYemSWVy/dlOxdrrZbGHpL2vo2qWt388prRAzLAUhFZw7e1ExWen1Oq7fuOXzvBs3bvHDgiWxiRs8MzQ1GjWZM2ckIMCULH22BoOBZk3rxU60qVChNHPnTKBggbyoVCqCggJ5s19XPvv0g9hzMmUMpnfvTkz45jN6vNGeDBn+66+22uyKM0OdThc2my32xejjVCq1X1UUHz2M8Pnbh9vtxmy2EBVl5vTp83z22XhUPpZg89wzffZ5i+QtCKmgbNkSisnGZnOQP5/vOiN7/zmouIK6xWKlRvVK/LxwOn36dH7iYlNajYbQnJ5WtlqtwuFwsGHjNipVac6evQcAqFO7Kn9u/5XzZ3dz4th2Bg/q73d3TcMGNdFovNOLTqelYcPatG3TXPE8p9PJhQuXE71+7tyhPr8A4nI4HKz5bTNFihQkONh7gWadTkud2tUSvU5c16/f5Le1m9mz98BTvyh+GiJ5C0IqePvtXl4J1mQy0rNHe4KDfY+wyJIlE0rtQo1GQ44cWalYsSyfjfiA6dO+4uVC+f2KRaNRM3/eJHbtXE3WkCy4XG6cTidms4Vbt+7wRo/3uHXrbuzxWq3W79ZpTDIrVCg//fp2xWQyolarUKtVmExG3ujenmJFXyY0NLvPa3bp9rbPCosx1Go1477+BKPRmGhsTqdnkeY5s8cTFBQYb/Uip9PJd7N+5INBIxNNxG63mw8Gj6RWnTZ8+NEX9Oj5PjVrv8bVqzcSPC+liOQtCKmgQP48rFo5nzq1qxIUGEDu3KF8PPxdPh7+boLnVav6CgGBAV4JSqfT0rlTm9ifmzSuw8qV8/1ayf2tt3pQt251tm3/C4vCbEuHw8my5Wv8/GSepLbgx18oW74R+QpUomr1Fqxdt4WhQwaw7Jc59O7ViV49O7F08SxGfPIe4HmJ6StB3759l/37jyR630YNa7NyxfeULCEpfsHF0GjU/L37X/Q6HXPnfIM+zsgSl8uNxWLl9/V/xKsBo2TV6o389NMyrFYbERFRREZGcfXqDfr0G5JorClBvLAUhFRSVHqZnxZOf6JztFotSxZ9xxs93yMs7D4ajRqXy8034z+lcOH/KgPeD3/A2rWbyRqSmZu37iTYcj1y5CQXL13lzp0wHA7vF582m41r1333wz9u3vzFjP9mZuwY9KtXb/DBoJEYDHoaNqiluBJ8vbo1GDNW+Vmo1Wrk0+f8qlNSsmRR+vbpwvCPxxIZpVxPXKfVMmToaCwWa2x/+OOioswsXrKKVi0b+7zXggVL4717AM9vGufOXeTy5WvkzZsr0XiTk0jegpDGFS5cgL92rub4cZkos4UypYvHq6+995+DdH/jXdxud2yCSmjG5e7d+2nQsANlShfDrbCMWECAiWpVFSf1eXG5XEyd9r1C2Vsr48bPoGGDWorn3bx1x2eMGo2GggXy+nV/gMaN6zDis3E+91usNiwK1Rsf9+hhBF98OZmr125Sp1ZVWr/WBJPxv7o0EZHeo1Vi4o2MSv36fKLbRBDSEIfDwfnzl7h791687SqVipIli1KpYtl4idvpdNLvzaFERZljxy+DJ6GYjMbYsdZx2Ww2rFYrh4+cIGfObPEKZ2m1WjJlDKZypf8mDP268neq12xFocJVadi4I9vjLBYRFWVWHIIHcPmy7xrdq1dv8PnlkilTMFWqVPB5rsViZcmSVXR/410+GDQSWT7HkkWzCA3NHu+Fql6vQ6fT+vUyV6/Xc/LUGeb/sJTff9/KyFETaNq0S7yFjJs3qx+vvzzuuUUKJ1wfPSWIlrcgJCOHw8HRY6fQabWUKCE90TC0teu28PHHY7FGl1ytXLkcM6Z/leCU7yNHTvpYx9FOqZJF0em0HDh4TLEOidVq49atu4z8bBCTp8zlzp0w3G439+6HU6Xaq3w+cjAajZpRoyfFtqxPnTpL335DmPf9RGrVrEJAgIkMGTJw/3641/ULFsjnM+6YolSPd+9otRqGDhng87lZLFZea9ubc+cuxsa0fMW62DHorVo25vLlaxw+eoLbt+6iAjZs2q54LbVahcvlJiDAFFvmNobZbOHqtRt8P28xH7zfF4C+fbqwdu0Wrl67gdlsQavVoNXqmDRxZIpMmkqMSN6CkEy2/rGTbt3fiX0ZlzFjMPO/n0jJkomvVXL4yAk+GPQ5Fst/3Q979uynV+/BrPx1XpLiMRj1/LLEs6hD+QqNvCa0gCeBlygu8ehRBG63Z9RJzASgT0Z8jVar8eoXt1isjP36W2rVrIJarWbI4P58+dWUx+p0e8re+tK2bXNWr9no1d2i1+tp1rS+z/OWr1gbL3HH8Cyntpz1G7aRP39uDuw/ijp6qKLSl5vJZKR58wZkyZyJ/Plz8+VXU3E44nd9WK021q7bHJu8M2QIYvff65j53Q8sW/4bapWaVq2aJFpwK6WIbhNBSAY3b92hQ8c3CQ9/QGRkFFFRZm7cuEXHzgMwW5SLScU1Z87PXqVh7XYHx46f4nwCizaULl0Mo8Kv8lqtlrt37vHR8K+4fesuVSqXV2zNli5VjNVrNvqs8a30QhPg3LmLsX/u3q0dX37xIbly5USj0VCoUH6+m/k1dev4Hj9dpXJ5erzRHoPBgMGgJ8BkwmQy8t2MsbEThZSsX/+Hz+JcdruDGzdusXv3fqw2G2azRfFYk8lI6VLFmDD+Uz4d8T61a1X12YUTFBgY7+e7d8OYPn0+585d4vCRE0ycNIu69dtx8eJVxd8+UpJoeQtCMvh1xTrFKesOh5PNm3fQskWjBM+/eu2G4ggRnU7HrVt3KFhQuQtCo9EwZ843dOv+Dm63O3Z1GZfLyZmzFzh/4RIrV65n5KeDOHz4BJboQlA6nRadTsdXXw1j2bLfeNLK0I9P52//ekvav57wOpcHDx5j6S9rsFgsNG/egGEfvU3HDq3Ytv1vAkwmOnVqAyQ81jpTpoyK3S2JMRgMFCqUD6PRQNs2zenYoVVsV0fevLkoVDAfJ0+djZfEA0xGerzRPt51Brw1jLB792OPi4z0DBmsVec1tFothQrlY+rk0amyALJI3oKQDG7fCfOxHqWDe2Heixo8rkb1Shw7dsqrUqDNZqNYIomgUsWy7N2zjrVrN7NkyWqOHZdjv0icThdms4Up075n376NTJ48i0OHT1C8WGF69+pE3ry5MJst/LLsN58tWiUlnjA5Tf92PtO/nR/75bJ+wzZq1arCnFnjY7+YQkIyK9bKdjqdnD13kaDAQLp3f53NW3Y8Uawebu7evUdkZBTr12+lfLmS8bqz5s6ZQIeO/bl3PxwVYHc4aNO2Oa1bN4k9xm53sGPnHsVWutvtxm63c+rUWdq178tfO1cnWp72aYnkLQjJoGaNyixdupqIyPhjjVUqFVWq+h45EaNXz44sWryS8PCHsSu1BJhM9OnTmUwZgxM9P1PGYLp2acvkKXMVfwMID3+A2+Xik4/f89pXuVI52rZtzuLFK/1aqV6j0fjVjx/jxs3b0WtO/vflFhVlZseOPezYuZfatXz3GW/ZupPBg0dhtVlxOFxIUiH69unCrNkLn6gkrtVq4/Ztz6zRXX/to227PqxZ8yNSkUIA5MnzErt2rmLvPwe5ffsuFcqXJnfu0HjXUKnwq8VvtztYvmIdfft08Tu+pBB93oKQDOrUqUrZcqXiDbsLMJlo3qwBRaWXEz0/JCQzG35fRJcubcibJxdlyhTnm28+Zcjg/n7d32yxMGjw59y5c1dxv8vlIihIeRq+SqVi7FfDmTP7G4wGA5ro4YW+RnzodNp4LdLE7NixR3E0RlSUmf4DPuLrcd/y4MGjePvcbjfHj8sMeGsY9+6HExlpxmq1cvy4zG9rN/Hvvg2MHTOcYsUKo05CYSmL1cqUKXNj73Xk6En++nsfJUtItGrZmFy5cnLixGkOHDga+yWh1WopWjTxv0uLxcp5P+qzPC3R8haEZKDRaFi7ZiEzv1vAihXr0Ol1dO70Gq1aJtzXHVeOHFn5cvSHMPrJ7z94yCg2bdqh2Het02mpXq0iWbJkSnAJr0YNa/PXrtXMm7+YPXsPkD9fbsqXL82YsdOix4u7cTicjB3zMfny5vZ5nRMnTjN5yhyOHZcpVCg/FSuUQa1WTrAREZHM/f5/rPt9K/v2buDvv/fx86Jf2b59NxERkV4tXafTya1bdzh75gJlSpdg+LBQihcrwszvFrBo8UpsNrtfxaJcLk/CvnT5Kl27vcPt23fRaDTY7Xb69O7M6jUbCQu7j1qtRq1WMWXyaBo2qMVnIwbRqUv/BN8RBASYqFC+VKIxPK0krWH5pMQalmk7Pkj7Mab1+ODZxRgWdp/KVZsr9rmr1SpKly7OwgVTefnlQkmKLyrKzI6de3E4HNSsUZmMGb2r88U4ePAYHTr1j53pCXhGw6jwqu0dl16vi+7zvu9Xd4hWq0Wr1cSuoDNgwBsEBZiYMm2ez0lDj6tdqwqXLl/j8uWr8VYEUmIyGtm0aQnly5WmSrVmnDx5RnEkjk6n46XQ7GzZ/MsTV3pUkuxrWAqCkHbcunUHnU6nmLxDQ3Pw2+ofn+r6AQEmmjSu49exo7+Y7D1V3molR46saLVa7HaH4rBEm83OjRu3/Y7J4XDgcDhivxCmTJmLXq/zux/caDCgUqm5fPlaookbPC8wFy9eSYXyZVi6eBZjxk5n5ar12O128ubNxaNHkbhcLpo1q8/gQW9iNBq4ceMWGzdux+ly0ahh7dgFpZOLSN6CkM7lz59H8SWlRqOherWKKX5/t9uNfPockRFRHDl6UvGYO3fuceTQVn74YTETJ89JkTj8bbFnzpyRhw8fsXPXXr/rcTscDu7c8fzWkiFDEGPHDGfsmOE+j1+yZBUjYhaBcLsZ+/V0Phz6Fv36dvXvw/hBvLAUhHQuIMDEO2/3iveyVK1WYTIaeOed3il67wsXr1CnXltate5J1+jZpUpMJiMZMgRSr16NFI0nIYGBJvbv20jWrFmwWm1PtJRcQICJOglMOorrxs3bjPhsPFarDYvFitVqw2q18c2E7+JNbnpaInkLwnPg7YE9Gff1CCSpECFZMtO4UR3W/raQ/Pl8v1h8Wi6Xi46d+nPhwpXYAlVK79A8i050QK1Wcz/84RPfR6fTxSvGlVROp4vw8HBOnz6f6LFxX7BqNBoKFMhD0yb1/LrPxo3bFUfqOBwO1v2+1f+AEyG6TQThOaBSqXitdRNee4IhfE9r794DPHz4yCthq1SelXOMRiMOh5P2r7dg8KA3AShSuAAajUax1etr5mS5siUwW6ycPn1OsV/fX243hGTNglqtTrTV7SlX64w+z8W9sHBsNs+9Dx46xsqV63E4HLR4tSFVqlSIl6zdLpfiaBS3m2RdOFokb0EQkiTsXjgorGHjdrupV7cmw4e9Q86c2eItTBwamoPGjeuwadOfsZORAAwGPTqdTnGkyMFDxzh8cAuzZv/Eryt/R4WKGjUqERVl5vadMHLkyMr69X/gdDp91mIBcDjsfPPNTJo0rsOGjdsVu3iMBj02uz3edVwuN+EPHrJ8xVrMZiuTJs+OHU2zaPEqqlevyE8/Tostv9uoUR2+GjvN69o6nZamTf1rvfsjSUMFJUnSAfOB/IAB+FKWZZ/rJomhgmk7Pkj7Mab1+CDtx5jc8d26dZdqNVrGtkhjBJiMjBo1lI4dWimeZ7XaGPv1dBYtXonFYqVECYkxXw6jU5e3iIz0Xg1HrVZzRv4Lvd73Em/nz19i0uTZrPt9a4IJXKfTUblyOR49iuT06XNoNBqsVhuZMgVTpHBBChTIw8pVGxTjqFOnGnv27Fcc8lipUjmWLZ0dm8DnzV/M119/i8PpwO32JO4B/bsz6IM3fcamJCWGCnYFwmRZ7iZJUghwEPB/0TtBENK9HDmy0qd3Zxb8+N/yYEajgbx5c9O6le/uG4NBz+cjBzPys0G4XK7Y2ZeNGtVhzZoN8aboq1QqypcvpZi4//33MF+Pn4EsnyVPnpfIni1rgokbPHXOd+36B5PJyNAhA8idK5SiRV+mQPTKPf/sO8TKVRu8ztPrdNhtdp/lAw4cOMKff+6mbt3qAPTu1Yl6dauzdt0WXC4XTZrUjZ2Kn1yS2vIOAlSyLD+KTt77ZFku6Ot4p9PpTs6+nsdptdp4v4KlNWk9Pkj7Mab1+CDtx5gS8bndbtb9voVZsxfy8OEj2rZpTp/eXQgMDHjia924cZuq1ZoTERlJVJQZk8mIXq/jjy0rcDgdfD5qAv/+e5hcuUJ5rVUTvh7/bRIKVP3HaDRw6uQusmfLGu/zlH+lEWfPXojXP63T6XC7XQl+OfTs0ZEZ345NcjxK9Hp98ra8ZVmOAJAkKQOwHBiR0PFOpzNFf5180X5dTQlpPca0Hh+k/RhTKr6qVcpTtcp/y6ZZLGYslidf0zE0NDvbty1n2fK1HD58AkkqRMcOrbh16w6tX+uJObqf+c6dMI4cOe7X5JqEWCxWSpaqzVdfDqNp03r8sXUXDx5GUK5cCc6e/W9ESnBwUPRwP9+JW61WodVpkv35hoaG+tyX5BeWkiTlAVYCM2VZXpTU6wiCIMTIkCGIXj07xts2ZOjo2MQd42kTd4yIiCg+/OhLhg0fg1qtxmy2eE3ciYiISnQyj16vp/3rLZIlJn8lKXlLkpQD2AS8Lcty8g1cFARBeMyhQ8efePGFuIoXK8KJk6d97k9s+GFCidtoNOB2w2effuBX9cjklNRJOh8DmYFPJUnaHv0/32sXCYIgJMBud/Drr+sYMnQ048bP5NLlq7H7XsqVI8nXzZs3F8OGvU2tmpUVV35/GiqVitatm/L3rtV069ouWa/t1/1FVcGUl9bjg7QfY1qPD9J+jGkxPqfTybrft/LJiHFERETicDjQ6bRotVpmfDuGhg1qsWXrTt4aODz+AscGAxYf627GyJAhKF6L3Wq14nQ6k9Tl4pm0490CN5mMlClTgiWLZqbICvIJDRUU0+MFQUh1brebX1f+TsnSdRn49seEhz+IHQljtzswmy28/8FI7HYHDerXZNTnQ8iUKRij0bNgMSq8kqWnTKw2drbjo0cRRERExv7PbnegUWsSHC/ui6/1HsxmC0eOnGDrH7ue+JpPSyRvQRBS3dRp3zP0wy+JiPCeDBMjIiKSP3fsBqBTx9YcOrCZHX+upP3rLXA6nV5TzV0uFw6HI8H+cafLRaZMiS8r53VeAsvDRUWZ2bb97ye+5tMSyVsQhFQVERHJjJkLvGZmPs7lcvHWwOGxSVqj0RCaMzt/7tiD3e49Xt2/FXRchIWF+9wf02p/ki4QnU5L1iyZ/T4+uYjkLQhCqjp3/hJarX8D3cxmC/PmL463LXPmjEm+t1arTbA4lEqlIkeOrD6XbVOi0Wh4PZWHCYJI3oIgpLKcObL7rPutZMvWnfF+7tunS5JeDppMRoISmfnpcrm4deuuYsv+cQEBJjJkCGTGt2PImzfXE8fztETyFgQh2Zw/f4l33h1BtRotad/xTXbt+sfrmBw5slK7VlW/a3Tnzh1/+bCWLRo98bA/jUZDliyZiDI/+czPuFQqFVWqlGfa1C/4ccFUDh3YQqOGtZ/qmkklSsIKgpAszp69yKstu2OxWHA6XVy5cp1Dh47z9diPafNas3jHTp/2JUM//IIN0QsXaLUaxUp+Go2aPr06xdumUqnIlSsHZ85c8Ds2p9PJtWs3n/gzGQz66BXk1YTmzM7WLctRp5Emr0jegiAki/HfzCAqyhxvtIfZbOHzUZNo1bJxvK6OgAATM74dQ0REJA8ePMRms3Po8EkGDxkZW/xJo1Hz6YgPKF68iNe9+vbpwsjPJzxVYSp/FClSiM6dWpM/Xx6qVXuFbNnSzlh5kbwFQUgW//57RHGYntls5vbtu4SGes+UvHjxCv3fGsatW3dRqeCll3LSq2dHsmbNQs0alcicOZPivTp2aMXJk2dYtHgler0em82GzWZ/qmn0Sk6ckOnSuQ0qlQq73cHhIydwu5zJvhJ8UojkLQhCssiePYQ7d71bpS6Xm4wZvcdWP3wYQfuO/Xn0KCJ226VLV5k4aTb/7FmXYFlZlUrF6FFDeeftXpw4eYaXQnOwaPFKvp+X3DXyPKNO1vy2ieEfj8HlcuNwOCha9GXmzplAzhzZkvl+/ksjvTeCIKR3bz+2gj14Cje1btWYgADv0kdr121WrC/udDj4ff0fft0zW7YQateqwssv52ft2s1JCzwBOXNm49gxmSFDRvPwoWfGpsVi5ejRU3Tt9nayt/SfhEjegiAki1ebN2DI4P4EBJgIDAxAr9fTtEk9vvpymOLxt2/fVeyztlht3Lp154nuffHiFR48fJSkuJVWeo/R4tWG/LBgCdbHJhQ5nU6uXLnO8eNyku6ZHES3iSAIyaZf36507/Y6V65cJ1v2EDIpdJfEKF++FAEBptgl1GIYDHoqlC/1RPc1moyJzrDMnDkTdrsdi8US+1LUaDRQs0ZlLl+5xtmzF+NN4AkIMNGrVyfe/2Ck4rU1Gg137jy7l5ei5S0IQrIyGg0ULlwgwcQNUKN6JUqWkDAa/xuzbTQaKVu2BFWqVHiie4bmzE4RH2tEqlQqXmvdlCOHtrD9jxW81ropmTIFkzNndt4e2JPZs8azdPEsatWsjE6nQ6fTUbhwQZYs/o7QnNmpW6dqvBhj2Gw2ypQpAXgm9zx8GOHXFP3kIkrCpoK0Hh+k/RjTenyQ9mNMi/FZrTZ+WLCEZcvWotVqadu2GT3e6JCkyn9Hjp6k+avdFPdlzJiBY0e2JXqNyMgobDZbvFEuDx9G0KhJR+7cCcNm88wMNZmM9O3ThaFDBvDjwmVMnDSLiIhITCYj77zdmzf7dU2wO8ZfKbF6vCAIwlMzGPT0f7M7/d/s/tRfLoUK5kOn0ylOvY8pDxsUFJjgNQIDA7h06Sp9+w3lwMGjBAUG0r3766xd8yPzf1jKlq07Cc4QRO9enWjSpC6/LFvDV2Omxvbd2+0RTJo8G51OR+9eHRO819MS3SaCIDwXAgMDKFHCe0IPePqnf/st8dEoly5fpU27Puz95yB2u4P74Q+YPednvvhyKh8OfYv9+zaxfNlcmjath0qlYvLkuV4vXc1mC9Omf58snykhInkLgvDcqF+3huJ2u93B5SvXEj1/zpz/YX1shR6LxcK637dwU2EEjNI2gHv3whOsXpgcRPIWBOG5UbFiWcUx5YGBAbEvFxNy5MiJ2JEocen1ei6cv+S1vWCBvIrXyZUrZ4osixaXSN6CIDw3qlV7haLSy/GqDur1enLnDqVBfeVWeVy+aqVYLBZ0Oi0ffvQFXbu9w9Rp87h3L5wRn7znNRLFaDQw4pP3n+pz+EO8sBQEIVU4nU62/rGLrX/sIiRLZtq3b0n+fLmT9R4qlYoli7/j2xk/sGz5WlwuF61bNeG9d3snugCE2WLhwsXLivv0ej2du76Nw+HAbnew958DzP9hMb+v/Zl530/k63Hfcu7cJfLly82HQ9+iQf2ayfq5lIihgqkgrccHaT/GtB4fpP0Yn2V8druDLt3e5vDh40RFmdHptGg0GqZOGU2zpvWfeXwAN27conbdtoqtb6XV4zUaNS1bNGba1C9SLKZkHyooSZIamAmUAaxAH1mWzyY5QkEQnmu/rvydQ4eOxRlS52nBDho8inp1ayhOgkkpYWH30Wq1ZMyYId72bNlC0Om0KK3XoNTIdTpdbNv+V0qFmaik9nm3BoyyLFcFhgETky0iQRCeO6tWbVBu0apUHDhwNFViOHr0FPUbtKdS5WaUq9CI19v348aNW7H7tVotHw4dqFhcy9fLx8DAhMeNp6SkJu8awAYAWZb34KNZLwiCAPhsWbvdbr+XQ3O73Rw8dIwlS1axe8/+J6roFxZ2n/Yd3+T0mfPY7Hbsdjv7/j1M29f7xhvS90b315k08XMkqRAZM2agZo1KrFj+PQ0b1kKviz/r02Qy0uON1/2OIbkl9YVlMPAgzs9OSZK0siwrrtqp0WgICQlJ4q0Sp9VqU/T6TyutxwdpP8a0Hh+k/RifZXxvvtmdv3f/61WEKjAokPr1a6HRaBKMLyrKTOvXenDgoKeVrlKpyJcvNxvXLyEkJHOi91/403KvIYBOp5Pw8AccPnKShg3+W4fyje4deKN7h3jHlitbmtZtenDs2Cm0Wi02m41WLZsw7KN3U3xIoC9JTd4PgbgdRmpfiRs8D0m8sEy78UHajzGtxwdpP8ZnGV/lSmXp1LE1P/9vBWq1Go1Gg0ajYf68SYSHhyca3+gvJrPv30NYrf+VZj1z5jz9+g9hzqzxid7/+AkZi8W728Zud3LihEz5ciUTvcaKZXO5fuM2x46dpFjRwuTJ81Js7CklNDTU576kJu+/gBbAL5IkVQFSp9NKEIR0SaVS8fnIwfTs2YG///qXTJmCqVu3ut8vKpctXxsvcYPnpefmzTtwOByJDgMsX64US5as9hox4nDYKV26uN+fo1TJYrwUmt3v41NSUpP3SqChJEl/41knqGfyhSQIwvMqX97c5Mv75GO7lYpNAbjdLpxOF4nkbrJkzuRzxEhIlsS7XdKiJCVvWZZdQP9kjkUQBEFR/Xo1WPf71ngvF1UqFWXLlvTrhee27X8rJm+j0cCOHXvo1Kl1coabKsT0eEEQ0rwRI94nJCRz7DA+o9FIhgxBfDPuU7/ODw4OQqv1frGo0agJyvDshvs9DTE9XhCENC80Z3b+3LaCX1eu59Dh4xiNBhx2B78sW0Ob15pRrFjhBM9/vd2rzJu/2GvEidvtadWnR6LlLQhCuhAUFEi3rm1RAStWrGPJ0tXM/X4RLVv3YO73ixI8t1Ch/Iz5ahhGo4GgoECCggIJDg7ixwVTFasQpgei5S0IQrqxZ+8B1q7bEjte3Ol04nQ6GTf+W1q2aESOHFl9nvt6uxY0blSXv3f/i0Gvo1q1in5PEEqLRMtbEIR0Y/36PxSn2WvUGr/qjAQHB9GkcR3q1q2erhM3iOQtCEI6YjDoUau905ZKrcKgT9/J+EmJ5C0IQrrRpk1zdDrv3l6Xy0X9VKihnZaI5C0IQrpRrOjLfDh0IAaDnoAAE4GBAZhMRmbN/Jrg4KBnHV6qEi8sBUFIV/r26UzLFo3Ytv0vDHo9DRrUJEOGFytxg0jegiCkQzlyZKVjh1bPOoxnSnSbCIIgpEMieQuCIKRDInkLgiCkQyJ5C4IgpEMieQuCIKRDqidZxPMp3AEupcaNBEEQniP5gGxKO1IreQuCIAjJSHSbCIIgpEMieQuCIKRDInkLgiCkQyJ5C4IgpEMieQuCIKRDInkLgiCkQ+muqqAkScOAJtE/ZgJyyrKc87FjpgHVgUfRm1rJsvwgFWNUAVeBM9GbdsuyPPyxY/oCbwIO4EtZltemYnwZgZ+BYEAPDJJlefdjx6T6M5QkSQ3MBMoAVqCPLMtn4+xvAXyG55nNl2V5bkrG4yNGHTAfyA8Y8PzdrYmzfxDQG8/cBoA3ZVmWUznGg0DM39UFWZZ7xtmXFp5hD6BH9I9GoCye/47Do/c/s2coSVJlYJwsy3UkSXoZWAC4gWPAQFmWXXGOTfDfa0pLd8lbluWvga8BJElaC3ykcFh5oLEsy3dTM7Y4CgEHZFluobRTkqScwLvAK3j+8e6SJGmzLMvWVIpvELBVluUpkiRJwGI8zyyuZ/EMWwNGWZarSpJUBZgItILYpDkZqAhEAn9JkvSbLMs3UzE+gK5AmCzL3SRJCgEOAmvi7C8PdJdleX8qxwWAJElGAFmW6yjsSxPPUJblBXiSIpIkzcDzJRIe55Bn8gwlSfoQ6Ibn2QBMAkbIsrxdkqRZeP4troxzSmt8/HtNDem220SSpDbAfVmWNz62XQ0UBuZIkvSXJEm9nkF4FYBckiRtkyTp9+gEGVcl4C9Zlq3RrdmzQOlUjG8yMDv6z1og3oquz/AZ1gA2AMiyvAfPl1uMYsBZWZbvy7JsA3YBz2Ldq2XAp3F+djy2vwIwXJKkXZIkDSf1lQECJEnaJEnSH9FJJUZaeYYASJL0ClBCluU5j+16Vs/wHNDmsTj+jP7zeqDBY8cn9O81xaXplrckSb2BDx7b3FOW5X3AcKCTwmmBwHQ835oaYJskSf/KsnwkFWMcCIyVZXmZJEk18HRRVIyzP5j/fq0FT9dExlSMr6csy/uifwP4GXj/sf2p+gzjePy5OCVJ0sqy7FDYl2LPLCGyLEcASJKUAVgOjHjskCXADOAhsFKSpFdTs0sMiAImAN/j+QJeL0mSlJaeYRwfA6MUtj+TZyjL8gpJkvLH2aSSZTlmCrrSs0ro32uKS9PJW5blecC8x7dLklQcCPfRvxQFTJVlOSr62D/wtEZSJPEoxShJUgDRLTJZlndJkpRLkqS4/xAeAhninJIBCE+t+KJjLIXnP5Ihsiz/+djuVH2GcTz+XNRx/kNItWeWGEmS8uD59XmmLMuL4mxXAVNi3g1IkrQOKAekZvI+jad17QZOS5IUBoQCV0hbzzATUFSW5W2PbU8LzzCGK86flZ5VQv9eU1x67TZpgOfXGCVF8PQha6L7+GoAB1ItMo+RRLdmJUkqA1yOk7gB/gFqSpJkjH55WAzPC5FUEf3ltwzoLMuy0nN8Vs/wL6BZdIxVgKNx9p0ECkuSlEWSJD1QC9jtfYmUJUlSDmAT8JEsy/Mf2x0MHJMkKSg6CdUDUrvvuxeevlckSXopOqYb0fvSxDOMVgvYorA9LTzDGAclSaoT/eemwM7H9if07zXFpemWdwIkYHO8DZ431GdlWV4jSdL/gD2AHVgoy/LxVI7va+BnSZKa42mB91CIcRqefwxq4BNZli2+LpYCxuJ5UTo1ujv+gSzLrdLAM1wJNJQk6W9ABfSUJKkzECTL8pzo+DbieWbzZVm+lgoxPe5jIDPwqSRJMX3fc4HA6Bg/BrbhGX2wVZbl31M5vnnAAkmSduEZJdELaC9JUlp6huD5b/h87A/x/56f9TOMMRiYG/1FdxJPNxmSJC3E013m9e81NYMTVQUFQRDSofTabSIIgvBCE8lbEAQhHRLJWxAEIR0SyVsQBCEdEslbEAQhHRLJWxAEIR0SyVsQBCEd+j8BHS0QQqMPjQAAAABJRU5ErkJggg==\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.scatter(features[:,0], features[:,1], c=new_labels.astype(float))\n", "plt.title(\"Clusters plot\")\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 31, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "C:\\ProgramData\\Anaconda3\\lib\\site-packages\\sklearn\\utils\\deprecation.py:143: FutureWarning: The sklearn.datasets.samples_generator module is deprecated in version 0.22 and will be removed in version 0.24. The corresponding classes / functions should instead be imported from sklearn.datasets. Anything that cannot be imported from sklearn.datasets is now part of the private API.\n", " warnings.warn(message, FutureWarning)\n" ] }, { "data": { "image/png": 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11xu7kDf1qgJFGZ/HxaO0OJcpr7tmTIGiVNDl4DBkYLQYv6mtk1nAI816TAZ6zidBECHoV6GDyOi54exFdHT50T/NiTNtnSjMz9DddwSIjua7vAHsq26BXMjLcRzKJwxGYX6moryuMD8D73xSA79M1Opw9CxNZ8kZ3S4eJSOydR+PHuLtJ04QfRX6Zegkze3EoJx+inrsRPTDWvpYqDm52M+7XTxEASgblYsvDzdHNbRipXl4k9ISVFFIENqhXiI6YfXLSHM7FEus9didaB8L6fNHTrVjz9FQd0BfQH6016ETrXjhnUMQxNDEdbeLBx/znlSf83ghu83HrrZbyW5WLxHKYetEy0SSRElE7yx9fkpJPg4cP4tAUAzL9mILU6rrzuHl9VXguJCz5jlAEETct3h82Fl3eQP46ItTsiXrBEGYC6VEdKJ1Iklsb+351xWZaabqjWXHoUa888mJqCcFQQSEoIiX1lfh2QfKUdvUEUqvAKEJ5galfgiCiA9y2DrRMpFErjfH21uPxzXBO17UbiwHa1p1O3QaRksQqYVSIjphlVhzHIfS4hzZ3hyXe3aYk1JgVVJKLU8TcehUOk4Q5kMOWydq+uGDNW2WcHRqN5ayUQMTcuhUOk4Q5kPPtHHAktZVHpdv9A+Y6+jUJIKSZluOkEPPxbHT52gYLUFYCHLYcaKkH7bS1G29mu2eDv2E7HapdJwgUgM5bIOx2tRtVmGKZoeOyyoRGkZLEKmDfnUGY+QEbzPQ4tAPnz6Pmtq2uEvHYyWOkdWWBEFohyodk4SRE7xTTSLnXE7iGFttmSzscq3EYle7AfvabiW7aWp6CjBygrddiI2kJxRdljhKkJabIOKHfi2EIchF0m8IgNKQYUniSI2fCEI75LCJhIkc5CuhNhmHtNwEoR8qnCEShtW3RAnSchOEfijCtjlWUGCw+pYoQVpugtCPpl/21q1b8cILL6Crqwvl5eX4+c9/nmy7CA3I5Y1T0U2PVSzkcvIQRREOnpMdyEAQhHZUfzF1dXVYtWoV1q5di9zcXPzoRz/CJ598gpkzZ5phH6EAK29stgKDVSzk4Dn86u7pOFjTSmPACCJBVH81mzZtwoIFCzBo0CAAwOrVq+HxeJJuGMFGyyAFsxQYan1LsjI8pAYhCANQddinTp2Cy+XCvffei8bGRsyaNQsPP/yw5h0oCcATIS8v0/BtmoGRdl/oDjCbTHV4A4buT21beXmZmDxuMD49UI/Gsx0YPDAD108cmvKKRrpWzMeuttvBbtVfUzAYxJ49e/DnP/8Z/fr1w/Lly/Hee+/h1ltv1bSDvlrpGIvRdmemOZlNpjI8TsP2p8f2SUU5mFSUAwDoON+V0mIhulbMx662W8nuhGY6Dhw4ENOnT0dOTg7S0tIwd+5cHDx40HAjCX2o9bsmBQZB9D5UHfbs2bPx2Wef4fz58wgGg/j0008xbtw4M2wjGKgNUqBFPYLofaj+qsvKynDXXXfhBz/4Afx+P8rLy7FkyRIzbCNUUGuPShBE70LTL7uiogIVFRXJtoWIA1Z7VIIgehdUmk4QBGET6NmZ6DXElunPv64o7s/GlvhboQWAFaDzkFroTBO9Arky/be3HsdDFaWqZfpqJf7xtADojY7NKq0Q+jI0ccYk7Go3YH3bu7wBrHxxR1SZvkSa28Es01f77K/unoonXtmla9t6puxEOvacAR6IIuANishMc1rKyWs9x1a/VpSwkt00cYbo1SRSpq/22XUfn9C1bT09XmIdeyRWi16t1AqhL0OLjoTtYbV3VRuUoPbZM60XdW1bi2MDoh273Pa9fgHdvuCl9wQU7TeLRM4xYRzksAnbI7V3lUNtUILaZwfl9te1ba2OTevQh0gnn0pY58nt5BTPcZc3gO2VDVi77Ti2Vzagy5v6m4+dIYdN2J5EyvTVPlsxq0jXtrXePLQOffD6Bew92pxyR8c6T76AiJwBPTt4Vtedw8oXd+DNzdXYsKsWb26uxsoXd6C67lySre29kMMmbI9Smf7lvysv1aiV+GdlpOlqAaD15sFy7LEcPtWOlS/uwKETrSmLVtM9TixfPF7x9Zfeq4pK3cilfKyW5rEjpBIxCbvaDdjH9m5fIKpMf8H1xeg43xXXZ2NL/NVej0RaTBREET6/AAfPgec4PLBkAiYU5QJgqy5YuJ0cfAGRqTxJBJYccXtlA/6yuRo+hQ6Ry+aOxpK5Y9DScgHbKxvw5uZqxW6Sy+aOttQipZWucVKJEH2C2DL9dI9Tc3tXtRJ/PS0ARhdm4b7F4/H7dw6C54CgIMLhBF5eXxV2sHJDH7TgC4SCn2RMF1LTWTe1dco6a8meyIVHWqRMDpQSIYgI5BbJ9C6cdXkDeGl9FQJBEdLDpS8g9kgHSM27ls0djQXThuOH3xuNq0Zk67LXqEVJLSkMPYu7iSwEE8pQhE30WWIf/7MzPXh5fVVUhPmXTdUAAI6D5uo+PZrl2Mjd5eRR03geXo2pEqOiVS02s2Z3xi7A6nkvoR1y2ESfJPbx3+UA/DE+UkkfDbBTEYmkA6aU5OPtrcc1H0dktJpIObwWm9Vmd8aei9mThmLj7lpwHIdAUGS+N5LeWNZvFHQWiD6HXDVirLNWg1XdJ6UD5Byg08GhtqkD2ysbZB1RuseJVXdNw6pXPodXg1FStJponw+WzZE3BS092CNtCQqA0wE4eA5zJg/DTeUjmc6a+pWwoRw20efQWrTCghUps6R9gaCIqm/amJrkcUW5qJhVDKdDfhsAwCHk/JcvHg9RRMISOj1adimNUzFrFG4oGxLlgDu7/T1sCQRFBAUR2/bXM20gKaA65LAJ07BK1ZvWohUWsamIyOMC0EO7HYuaI2o7341AUPmmIiIk/3p5fRX+tvOkpnJ4FkaNnPv0QEPctmgt6+/LUEqEMAUrPepmZ/asytNLUBBR39KBtduOY+u+0wB6LkpKqYO9R5tx+FS7rANOpHGSJLHbuLsWQYX7j55FSSNGzjWe7UhaXxeSApLDJkxATwc7o/a3+0gzLnQHZNuUKjz5y+LgOTh4LqwScTk4+IMiOI7Dpj2ne7w/9rhuKBuCprZOHDrRJrt9OUfU2e3H1n3s9EEkHMfB6YDsDUGvhC7RkXODB2ZoyoXLoTWP3pchh00kHTNbc8pF8m9uPoY5k4cCCDmF5nZt1Y9OB4dfL58BINRmteFsB+qaLgIA/AF2SiXyuNQWIU82XsBrf/sa/dOcGJqXAbfHBRHac+yBoAgHL38XCgoiSotzNG8rUa6fOASv/fWQ7Gta+rqQFJANOWwi6Zj1qMuK5DfsqgUQitQEAeFIWQ6ng4PTwePh28rQ3N6luxpR2q90XCxHFAiK+PpUe8S+gWAQOtx16Clg7IhsHDv9LQRBiDoujuPwxCu7TEs99Utz6ZL+RaJXNtgXoTNAJB2zHnW1qD/UnK6DB+6YMwrlEwZDFBFXvw8g+rj0lKEH9O8KQUFEdV3I6ce27fEHBPiRnNSTEonkwo3Io/dm6CwQScesR1096g+Xk4cohlIJSmO8tlcqKx7UiDyuLm8AZ9o6cX3pYFzsDuBchxfVdeeYKhAWDg6I/ajUY0QJnz+Ij/fX4++mjohrn3pJJBeeaB69N0MOm0g6Zj3qsiL5WPwBAfOmFGLIwP6KkVw88r/Y4wp37hME+AIieA4QRX0pj1gG5fZHY+vFHtE0C0EE1myrgcvpwHevHpbA3olUQg7bJti9XNeMR11WJB+Lx8VjyMD+zEiuIKcfXE5edYERCKVSgOhqPrmceqKdhp0ODtmZHtSfvRjX59/YVI2rx+QhKyNxaSNhPvb5xfdhrKRhToRkP+rqyRVrScVMKMrR5KwBXNJBh6r5biofCSCUUxeExAp0YnHwHMpGDcSx0+fiLv5Z93EN7lp0laF2EeZAlY4Wh8p19TG6MAtP/WQarh6Tj9HDszD+ihy4nXxc1XuHTrTBxSgPlyMYFMIVeU1tnaq5ZSU5nhxuJ48Vt0/EjPGDFMvItWyu4WyHbMWplkpUq1Sr9lUowrY4iWqY7Z5K0Yvc0wjHAXMmDwPHQVcqpqmtU1H6p4Q/KKLhbGhsQnamBxzY+eqrRmZjcG5/NJy9iK9OtiH2q+YAXDEkE9PHDUb5hEFhu5WeJAQRqvusa7oYngYjPa0tmVmMdz6pYT7F9ZYnPTtDEbbFSUTD3NeGoCo9jXj9Arbtr8eiGSN7NCtioWfuYiTfXvShuu5cyAEy3ud28bh6TD5uvu4KHK//toezBgCHg0PxkO9cUrVc/ru0JlAxq7hHlK52iwlGOHnpae2NTdXMpzh60rMG5LAtTryTO/riD0xP8yAtj/asDnYsdn3djF+/uV81x8xfyqOz7A4ERWzac1r2ZpvmdsLldDC7+sXi0Jnikc4bNWayBpod9jPPPIPHH388mbYQMuhpexlJX/yBaX0a0frkodTBTouDZA2edvJcVB5di3xQ6War9tmhA/ujaEgmZowfhNmThiCoM8UjnTdqzGQNNDnszz//HO+9916yben1xLNgE2/bS6v8wMxcpNLyNKL3ySMy9TChKAdXDsvCxFG5Cdk5dmQ2nn2gPJz31ZN6ib3Zqh3z96YU4ud3TsFdi67CiEEDdKd4pPNGMxqtgWoy79y5c1i9ejXuvfdeHDlyxAybeiVfnWjFk69+HteCTTwaZit0PjN7kUpLReWXh/Uv4tY2deCdT06Ej0OHsKMHnkt5a0mnvftIM+pbOhDUKND2+oWwyqOprZPZKja22tLnDyKg1IdVZRuiCGrMZAFUHfYvfvELrFixAo2NjWbY0yvp8gbwy9e+SKi9qF4Nc6o7n5ndUhXQVlGp98nD6OIXpZFeLicPQGQ2pQJCTau27WsAz1/uvy2KIclf5KBguWpLaWRXJNJ75VQisZWo1Jgp9TDP8tq1azF48GBMnz4d7777blw7yM3NiOtzLPLyMg3fZjL56ItTEJSiOgCHT5/HvCT0eHjyJ9Pxy9e+gCCK8PqC8Lgd4DkOq+6ahsKh2bq2pfecf/TFKUW1QjKPOS8vE5PHDcanB+rReLYDgwdm4PqJQ8NSxuLhOfDsr5edSu5xO1A8PCfqWFnHEQ8/XngVcnMzsPLFndEzJaUCHY7DwvIR2LirVrZoJ+TMReDSR6WbT5rHgR8tuAqt33ZFHXNntx/Przso28DK6eDw40Xj8N0pw5HuceLm2VcqnjdA/dxGvs+O2MFupsP+4IMP0NLSgptvvhnffvstOjs78atf/QpPPPGE5h20tnYwF2D0kpeXiZaWC4ZtzwxqattkHQQAeH1B1NS2oaXI+J7F+Zlu/O7+GbKpFD3nMJ5znqpjlphUlIN5U0egpeUCOs53oePS38cOGwCljAZ36fXIY2UdRzz85/9+jQsd3YoVkDwHFA3Nwso7cnpE4KyqS1EQ4e32Y8G1wwEgfMzbKxsU9+XgOXi7/VHnZ1JRDiZd+l4i/x4J6z12/H0C1rKb5znFQJfpsP/4xz+G//vdd9/Fl19+qctZEyEKcvrB43bIR3VJzienqvOZFXLocuhtRKW1oRTPAcMLMlDf0gkBoqIaQxRFVB5vZaZlGs92YMG1w8PrFg1nL4bHkCmhtJCsNQXU1wqs7Ap9IyYwpSQfb289LvuaVRdsIn/AxcNzMHbYAF0/4FTn0FnoWcTV2lBKEIGrRubgsR9MxkvvVaHqG+WRYBwH5s1s8MBQdCXdbLdXNsDBc8x2rEo3QS03TqpgtA+aNT633nornn766WTa0mtJ9zix6q5pCU2kNlMeF6tTfvWvh3RXSBo1hTtZSM6wYtYoZvVj5HGw9NeS8xNFYEB/t2KPEI+LR2lxLlNbf/3EoVF/06LTDgqi7E1QTcc/oSi3zxVY2RmKsE1iXFFu3O1FzYyAZNUdl/5br7qjt0wPkY5jx6FGvLXluKwEj+M45GR6sPLFHRAEQVGmx3EcyicMRmF+pmJaJt3jjMoLa0nLBIIiun3BHudWLQV06EQrggpSP6mRFQ0TsA72+uXYmM5uP748HJ0j1BpZmymPM3pgrh2nhyjlc797daGio12+eDxeWl+lOE7M7eLBR+TJk5GWUWqbytrX3qPNijLCyEZW8UB5ceOhs2cAahdmdd05PL/uIARB0B0h76xqVCx2MHriOGBshaQdf7BqTzNKzo9VkMNzwDVj8vH380ZHOWStNzMpSn76jX3M951pUx5qoLSvi93slEdHV3wpET1PhXa8TlIFnRUFtF5EahdmIhFydd05xUdwaTtGl5gbpe6w40KW1u9KzvmxbnSCCGRluBN6EhpdmIWpY/Oxi9EDJi8rXfd2+6exbcpId+nepp5r3o7XSSqhbn0yaG0OpKUvRbxNmKRts0qWkyGPi7fZVCRazosVG+En0jDLjF4bt88ZxXx9f3WL7ta5Q/MyLlVZ9sTlDI1R04vW89gXO0omiuUcdqp/yHouIi0XppYUg9wxs7YtkQx5nJy6w+ng4OCB2ZOGyvZsjkXtvLy/46Ql+3TH+10Bxtzo1MjOTMMPvzda8XVfQNTt6KaU5CsqWhx8fHZrTav1xY6SiWKplIgVHo/0LLppuTDVUgyiCKx8cUePYy4blctUBTh4YPni8T0WMo3I/Ul52vd3nMTG3XUAQjMLt+47jW3761W/D7XzsnF3bVRPi2T3GNFKvN+VdD7M6LXx3auHwR8QsO7j47I9TfSuayRjor3WtJpVOkraCcs4bDPVEJFd0i52B9A/zYmheRmYUpKv6yLScmGqrfBv3VcPr7/nMe87ehZuJyc7E9Dp4DB70lC8vL4qaTc3UQS27a+PSslo/T5Y5+WylrnncSVjEVUP7O+Kw9Z9p6OOKfZ8mCVjvNDpU2xAFY+jM9purUVTVq2GtTKWSYmY9XhUXXcOj7zwGf780RFs2nMaO6vOYNOe03hjU+ixHIDmXCTrMVgQgAlFueEIJt3j7FFAMmfyMCgNdOJ45a5wDp7H9sqGhHJ/co/2kX97Y1O1csMqle+DdV5EEYoVe6mOqpSKfTwuHlcO+45iL4/I86G1ICcRkpEvN9JurUVTZqSRehuWibDNeDzq8gbw7NsH4JPrghYQ4Eco4lUi9iKKfJwMCmLMD1rE/331i3DE+1+rbsQHn9aEI5jS4hz8x/8eUTxmn1/AtKsKcOD42R6PqrMnDVXsLcGKUqUni8On2rH3aDN4LpT39Lh4/GVT9aVjvFQ+DeXZgGrfB+sxW7LdqlFVbLQpiqFr4vCpdkOj2kSwctm/hJaoPRnpmN6OZc6IUY9HLDnezqpGWWcdjYg5k4dh2/56TRfR6MIsPPWTafjZv++M+rs/KMIfDIYfl/M8l6Vg1XXn8MQru5jN5B08B57n8NRPpuHQidbwRT+hKBd//OCw5ptbrJPmOMAfk2aR25ba2iKrcT6g/IPt8gawaU+d7Ges4mykaLPLG8DKF3dEpazkMPtGYxdHp0Vn3luqYc3CMmfFiKhBbdGy8nir6jak5jx6LqJDJ1oVm/NIEa/Uf1ouVy9HUBCx+0gT9lW34OHbyjClJB9/23kSf/7oKLNdbaTzkM6HIIrwqfSi0I/62JXYH6xkT+gx+PIxuBwcHA7eUs4GYKfpIknFjaY3OTo7VsOmCst8u4lGDVoWLbUgOTw9F5GedI5WJwCEImE/gnj27QMARNkFSDmkSFbLjSFe2i9063o/2x4Ov7p7GrIy2FG72ag1XeI5wO1KXTMrcnR9D8s4bCCxqEHLomVpca5i20uJeKIlVjrH7eJxrsOH//zbV8hMc6K+pUO181os6mmcy8yZPAxpbie2VzZovjHoJZ4UAOv74XngYE2r5ZwP63t18BymXlXQo9ycIJKJ5a60eKMGLVHuwukjse7jGkUH6IkzWmKlc3x+AXuONMFXdQYeF4+gIKpOD0kEadFdS0vO+Peh/6ZmR80t63t1OXly1oTpWEbWlyhapE7pHiceuWMiPK7LvY15LvS/+VOHY/VPy+PSMMvJmNwRtkipDK9fQCAYqyYxjsjIl3U+EsHtjG9hy4zSbaOxek9vou/Ra644rYuWowuzsPqniS/WyKlRItM55zp8ochaJu/scnAAuPDkawePHtOs4yHyOLW25NTLbbNHxXVTs4MUTY7etLhH2B9OTFai8xJmDuGVU4lIi5ZGlrZr2c/abcexYVet4jbmTRmGIQMz0HC2A1v31TPHP2nlkTvKMP6KXEU73S4egiCG/hfn7iS74ymHN+v7kbDSYFU92NVuwL62W8lu1hDeXuWwAaDbF1CMhozouytpc+XUDmluR7hke3tlA97cXK1Ynl0yPBvXlOTD5w/inU9qEs43O3jg/9xY0iP/H3s+pD4U8ezPwQE8z4efDOJxuKzvx2is9CPUg13tBuxru5Xsjntquh1RWrQ0qrGU1uZQrBRAICii6ps2HDt9DoGgYEg6JChAduEu9nys3RafswaAoBgaG4VL96p4er2QFI0g4qfXLDqyMLLvrla1g9yCldz7jXDWgPaFu0QWI5XacMb2OLZan2uC6C30ughbDiPnFKppriOdZuSC1aFvWlF57KwhuWo5tC7cxbsYyXNQnXxjhfa4BNGb6RMRtpEaYFaHMZ9fQE5Mjw0pBTA0L5PprB08F1fkqyQzU4p0lSSILgePaVflY/7U4eEOddL20z1O3HjtcKYsLzvTQ9NDCCLJ9IkI28i+u+keJ5YvHo/VayplX39pfVWPfG513Tls+Pyk4jY9Lh4Vs0bB5eTRcPYitu47rSkSnzN5CIYXDOixcKcU6S5fPB7tF7xoauvEkplFAID2C94ei383lY+MWhhccH0xWlouYNt++U6GoRsYZ+i0dYIgemJrh61V9WG0Brj9gldxuECsc5Ly56xiGY7jUD5hUFhdotRIKhKXg8PwggE9nCCrp8rqNZVhu1kKj9iFwXSPU7XXS+Xxs7arZCQIu2Fbh60nX2p0O8qmtk7FRkx6mz3xXGjUl2SD1pJyf1CUdYK7jzQzB/dGVl0C+hQerCKSM22dND2EIJKMLR12POPEjKxY05Ni0eKAX15fhYdvK0Nhfga+vegDzylPm1Haj0R9S4eu0vfIJ4IubwA7qxrDbWhLi3NRPmFw1PuVZHl2rWQkCDthS4cdr+rDKA2wHufEcu5AyDF3+0ItVDku1CVaS52RkhO82K1vcS9S4RE7jafqmzas+7gG/3LPDORnupnbsUtT/VRjRPEW0Xex5ZWS6s5vepzTlJJ8vLlZXUanp4Wq06HsBPun6ftKJYXH6jXyo9N8AQFPvvY5nr1fPW1CfTfYkOyRSBRb/pKsMG1ZzjmVFufgYE0bKo+fjYqeri8bjM175GcwxsOcycMUf+BD8zLgcnDwa9R7SwoPVt47EBA0qzyoklGeeNJ4qYSeBKyJpm/ghRdewIYNGwAAM2fOxGOPPZZUo9SwSr400jlJcxpjo6clM4uxTWFgbjx4XDyGDOyv+Lp0bvxB+UkzbhcPX8QTwfLF47Fpdx1TlRJQWOAktGNk8VayoScB66JaqbFz50589tlneO+997B+/Xp89dVX2LRpkxm2KWK1PsWs0vc3NlUbVn4OqN+QWOfmkdvL8IO5o7Fg2nAsmzsa9y0ej5fXV+FIbTtzn04HRyqPBEl1Gk8rRrZxIIxH1bPl5eXh8ccfh9sdWnQqLi5GQ0ND0g1Tw0r5Uj1zGuNFLkeu9Niq5dywug7G4nTypPJIkGSl8YxOXdjpSaAvovrNXnnlleH/PnnyJDZs2IA333wzqUZpxSr50mSO4wJCrVMrZhWjfMLgsNNVe2xVOzdabzJuJ48n75puqfyqHUlGGs+I1EWsw2fNHLXSk0BfRfOv8NixY7jnnnvw2GOPYeTIkZp3oNTXNRHy8jIN32YiFA/PgWd/Pbw6JpQ7HRxmlA7Brq/OqH7O6XQgJ7s/CodmAwA6u/14ft1B2QWs59cdxH+tulE1yrrQHWDeZApy+uGWWcWYc81wWy82WelaefIn0/HL176AIIrw+oLwuB3gOQ6r7poW/m4l1Ow24hr46kQrfvnaFwgKAnx+ATwPcODgdMhX2nrcDhQPz1G1zUrnXA92sFvTL3Hv3r148MEH8cQTT2DhwoW6dmD2AINUMHbYAMi3g1LG6eCxuHwEvvzqjOp7vb4gamrb0FKUAwDYXtkAQVDQdQsCPvi0RvXJIzPNyXxEnz91OK4dnYeO811It+A514LVrpX8TDd+d/8M2VRVpJ1a7E70GujyBvDkq59HOfzQ5pR/qxxC1zrLNqudc61YyW7WAAPVRcfGxkbcf//9+O1vf6vbWfcVWAt9P/ze6NDf3Y6ovz98WxmyMtLCn5OGAsuhp3pS62Mrq+sgVSYmDylVVTFrFG4oGxJ3qinRa2D3kWZFhy/hdoauj1Qt6Nuht7rZNqqe/ddffx1erxdPP/10+G9Lly7FsmXLkmqY3WAt9JVPGITDp8+jpratxwKg9Lkdhxrx1pZjsooSPdWTWhewqDLR3mi5BlgLkqx+OECo3e81JQXIynCnZEHfDtLCVNjY62Y6WhWW3dIP6/CpNuw7ehYcjyitdOwFoHWupBa0zFjsjefcymixW+0auO+W8XjpvSrFgcfbKxvwpw+PMNsgLJg2HBWzRqnaEXlTmH9dES5e6NZ0nPEeWzKKjPReK8m0sU/NdLQbPSabOzkIAjDtqgKUjMiWdaBGRsdWUdoQ+mBdA8sXh5w1q6pySkk+/nvjUQgKBVOx05PkkIsw3956HA9VlCYUYSYiLTSrQjNV8kdy2ClErlxZekw9cPws7vy7MYrO10o6dCI1KF0DXx7W5kx+uqRUcRAHr7KOoVxqL2D1mkqs/mn8EWa8+XkzUxSpKoTqEyPCrIqWuzQLoxawCPsidw1odSYTinLxyB1lcDn48IBlt8YFRta16/UH8f6Ok3EfE2tQtNIajdkVmvHYaAT0C08hdilXJqyPlAqob+nAiYbzij3VY53J+Cty8fxD1+l+UlMrFtu4uxY3lY+MK4hgFRkFggL8gSC6vIGoVIfZKYpU9TMih51CrNB1kLA/UiogKIiqwyvknEk86xgFOf0UC2yk/cTrJCPz84IgRKlZggKw7uMavPPJiahUh9nBT6pUVpQSSSF20EJ3eQP46ItTltbC9mbUdL6RqQCWs3Y4OHhcvGHOZEpJPlj6Mq0dHpWOb3RhFu67ZTzkpOJyqY6CnH5wm5yikNYQlkU0VHv2gfKkyg4pwk4hVtdChxdxEKq2tKIWtjejZRFNa08YURAB3rj4LN3jxLwphdiwq1b2dWkwxvbKhijFhmRzU1vImW/dVw+g5/EV5mfgpfeqEGDoDiNTHdmZHvgUIuxkBj9mq6xIh20SLLu1aKHNJhVaWKOx87VSe7pd0/lfu+24otOUQ893pyaR6/IG8MgLn8mmItxO/tLT42VnLHkajgMz/53mdmDJzCKs+7hGtanagmnDsXD6SGbnyUfuKMP4K3KZ27HStUI6bItjRS00tdlMLVrPv9rMUNZnlejyBvC3nSexcXctOC6Up3Y6OPz5oyOYN2U4Fs0YiXSPE+keJ1bcPjG6jsDFIxgUEBDEqNJ3Pd0sRVFE5fFW1c9IqQ7WuXI7ObSd92reNwsrTOEhh03IQgqW1KL1/LPUCmqflaO67hxWr6mE1y9FqyFHKC0ubthVi6376rHi9lBaJlILfuRUG/ZWnwU4TrEgR6uNHAfVG5E/KGLbvtPwBwXF9/kCIhrOdsRti4RVSuVp0ZGQJVU6076C2mKinvM/e9JQOHgurKVmwfrupAXMy85aHq8/esEvze3ElJJ8HDjeCn9AQDABZy3ZWFqcq7ggLyEIIk41daDhLDt42LavAdV15+K2x0pTeMhhE7LYQcFiV6rrzmHlizvw5uZqbNhVizc3V2PlizuinIqW8y9tZ+u+0wgKIjgO4DngqhHZUPLdrO9Oz+Sk2MIuI6cucRyH8gmDe3TAdDo4xeNi4Q8KCTnWRAvcjIQcNiFLVMtYmdawVl9wtCpao7XI8y+1OeW5kNNavng8RBE9thMIihBE4ETjeSxfPEF3BaOeyUlev4C9R5vDTwZGTF1yu3i4HDzKRuXiy8PNKMzPiJLN/f28MZhSUhDXthNxrFZKD9KvjlBEyk8qtYYl9KMlWpOmz0ha5D+sOwQHDwQFEU6ew8vrqzB70lDF7QQFEf/vf6rAc0AwKIaqHgURDyyZwMy3SlpmJXlcLIdPhZQsD99WpnvxEwjdfBw8hzmTh6H9ghd7jjaD54BdXzfjwLGz4Rxx5ALpJwfqNW8/kkQcq9YCNzMWJSnCJpikuZ2YN3UE9SsxCD3RWpc3gJfeq4I/KCB4SRrruxSNb9xdp7gdf0BAICiGKwQFMRR9v7S+ipkWYGmZ5QgExfCTwYQi9ZxzLAXZ6fi3e6Zh0YyR2H+sJcpmpRzx4Nz+uvYhkci6i570FCvNZQTksAnCRPQsJrKice5SekQPrLRAlzeAl9dX6dpe5HYPnWjFw7eVId3jjMo5s2hq78ITr+zCnz46onjzibV5ycyiuGxMZN2FNVHq4dvKZNNTyVqUpHCJIExET9MgVjQeCIpw6Ay3WGmBRBYNpXz2sLwM3LlgLDo6utF+wYvsTA/WfXxCUXUSCIoIBIPY9bVybjnW5uzMNFw1Mhtfn2xX/IyDDw0SNrJymNXOeHtlg2k1C+SwCcJE9LQjUMudzpk8DNv210dtRxqk65eR1jkdHGqbOrC9sqFHfrW+pSOhRcPDp9px6EQbPG4HOAAP31YGAIYoR7Iz06L+fe3YAhw7fQ5+mRFnHhePilmj4HLyhlcOKxW4mbkoSQ6bIExG6/AJtWj8pvKRuKl8ZNR2rhz2Haz6jy9lPxMIiqj6pg1Hatvx5uZqrLh9IkYXZqG67hy27j2d0DFJhTXeS+XhocEIInwq3QO1sL+6BYAIUUQ4cucvlb3HEpIEDjJ1rcXMrpvksAkiBWhpR6AUjQOhYpn3d5yMUiMcOtGKJ/9jt2rvnlAqQsSzbx/Av90zHavXHECCtS49CKpMZNfD16fa8fWpyykQqS9JqF8JUt40zcze2NT8ySTsajdgX9t7i92RzcFEsWeHO47j8P3ykVizrUb3vqaOzceeo80IGudfTcPp4HDrDUXo6PInnPpI9FqRK12XG6CtBVbzJ3LYJmFXuwH72t7b7GZ1UIyXdLcDXXFuT1KByA0x4DiAg/zUGwnJqc2fOhzvffpN3DY8unRSwv08jLhWjOq6Sd36CKIXYGT5t0S8zhoIqTFCDrmnTaIo99cQTkeoWGbIwP7hocGs6TUsAkExPAk+1TUCZnTdJB02QdgEI8q/4+GakjxZDfJ9t0yAHiW49LlHl07C0u9eGTU0OB5nLWF2P49UQhE2QdiEeMq/E8Xl4PGPC8YCQI/H/S8PN0NLcaPTwWHsiGxcPSZfNk2Q6HH1pXa/FGEThE1glUizuGNOMTwuh67KSGkG5MqlE5HmdoYf9yNbFGiN+ANBEYX5GYqtDeI9LgkrtftVa5ubKBRhE4RNYBXdLJlZjHc+qQlPGee50OLVg0tKMb4oFzMnDsWXh5ux92gzDp9ql01BuJ0crikpQFaGW9OimdbIWM2hKssXOcyZPBQcB2Sku/Du9hMKC5zWaPdrxpADUomYhF3tBuxre2+1W0mNoEWlYOSsTq2qFa3bVbPfSOlcLIleK0aeV1KJEEQvQkmNkEgxTjxFJ9K2Vq85wIyy71s8XtN21ezXWiGaCsyagZr6IyUIIi7i7b8c6fgaznagoyuA/mlOnGnrRGF+huw2lPY1ujALFbOK8fbW4/JpFhePtgvGDMEFrDmwGjCvnwg5bIKwIYnmS0Ux5GS27K0Hx4UWBpW2obavtvNeRVmer48oOMzqJ6JJJfL+++9jwYIFmDdvHt544w1DdkwQRHzoGQorp1qorjuHR174DBt21SIoiJcbN8lsQ8u+aGCzeTNQVSPspqYmrF69Gu+++y7cbjeWLl2KqVOnYtSoUYYYQBCEPrTmS+Ui4zc3V0MUweyiF7kN1r4CQQE7DjVixvjBhjc/ar/QjXc+OYHG1osYnNsfS2YW9WizaiWMXBtgobqVnTt3Ytq0acjKygIA3Hjjjfjwww/xwAMPGGIAQRD60JIvjYyMI1/TQmTOVW2IwltbjqEwP/Oys0KoxWoizmrL3tN4Y1N1+N/fNF7Azqoz+OH3RuO7Vw/TtS0zMWNRVHVLzc3NyMvLC/87Pz8fBw8e1LwDJXlKIuTlZRq+TTOwq92AfW3vjXYXD8+BZ399uPd0JB63A8XDc3D49HnFXh5qSNvIy8tk7gsAggLw/LqD+K9VN+JP4wbj0wP1aDzbgcEDM3D9xKG6h9C2ftsV5awjeWNTNW6ccQWyByQn0jbqWpGGKCcD1bMpCEJUbkYURV1VSaTDDmFXuwH72t5b7R47bIBiDw/u0uvv7zip6GTVkLbR0nKBuS8JQRDwwac1uKFsCOZNHRG2veN8Fzp07vu1v33NfP3f36nEXYuu0rlVdax0rbB02KqLjoMGDUJLS0v43y0tLcjPT31VEUH0VdSGwqa5ncyFQBYelyMqjSHty8Eru20jZWuNrReZr59pY7/e21GNsGfMmIE//OEPaGtrQ3p6OjZu3Ih//dd/NcM2giAUUMuXsqaghCa1hEZsef0CnA4Ooihi3pThuKl8ZI+c6+jCLCz97pV4e+sxWfmekUqQwbn98U2jcqQ7KKe/IfuJ1ZXPvy6+aexmo+qwCwoKsGLFCtx5553w+/2oqKhAaWmpGbYRBMGAVUSiploYXpCha3FsxvhBeOeTGgSCPdMsRsrWlswsws6qM4qvV8wqTngfcuqZt7cex0MVpYb1/EgW1EvEJOxqN2Bf28lu7VNQtFRNaunlYYTtsSoRCSNUIkb2/EgW1EuEIPooWkq5tVZNmtXL47tXD8PVY/Kw7uManGm7iEE5/VExqxhZGZ6Et21Wz49kQQ6bIPowLL223Ogts3p5ZGV4kqIGMavnR7KgAQYE0YfREnH2JuxeRk8OmyD6MHaPOPViVs+PZEEOmyD6MHaPOPWipGG//HdrZ4mtbR1BEEmFpddOdsQZbz/vRJFbPF1wfTE6znclfd+JQg6bIPowZnWZi8WM+YcsYhdP0z1O3WX0qYAcNkH0ccwevaVXmUJchs4KQRCmjt6yuxY6ldCiI0EQptLXlClGQg6bIAhT6WvKFCMhh00QhKnYXQudSshhEwRhKlr6eRPy0JkhCMJ0zFam9Bbo7BAEkRLMVKb0FiglQhAEYRPIYRMEQdgEctgEQRA2Iek5bJ4xbdlK2zQDu9oN2Nd2stt87Gq7Vexm2ZH0mY4EQRCEMVBKhCAIwiaQwyYIgrAJ5LAJgiBsAjlsgiAIm0AOmyAIwiaQwyYIgrAJ5LAJgiBsAjlsgiAIm0AOmyAIwibYzmHv2bMHt956K2666Sbce++9+Pbbb1Ntkib27t2LiooK3HzzzfjRj36E+vr6VJukm+eeew5/+MMfUm2GKu+//z4WLFiAefPm4Y033ki1Obro6OjAokWLcPr06VSboosXXngBCxcuxMKFC/HrX/861ebo4vnnn8eCBQuwcOFC/PGPf0y1OWxEmzF37lzx2LFjoiiK4m9+8xvxd7/7XYot0sbs2bPFw4cPi6IoimvXrhXvvffeFFuknfPnz4v//M//LJaWloq///3vU20OkzNnzoizZ88W29vbxYsXL4o33XRT+HqxOgcOHBAXLVokjhs3Tqyrq0u1OZrZsWOHeMcdd4her1f0+XzinXfeKW7cuDHVZmli165d4tKlS0W/3y92dXWJs2fPFmtqalJtliK2i7A/+OADjBo1Cn6/H01NTRgwYECqTVLF5/PhoYceQklJCQBgzJgxaGxsTLFV2tmyZQtGjhyJf/iHf0i1Kars3LkT06ZNQ1ZWFvr164cbb7wRH374YarN0sSaNWuwatUq5Ofba6ZhXl4eHn/8cbjdbrhcLhQXF6OhoSHVZmni2muvxZ/+9Cc4nU60trYiGAyiXz/rDgG2ncN2uVw4evQoZs6ciV27dmHhwoWpNkkVt9uNm2++GQAgCAJeeOEFzJ07N8VWaWfx4sW4++674XA4Um2KKs3NzcjLywv/Oz8/H01NTSm0SDtPPfUUrrnmmlSboZsrr7wSEydOBACcPHkSGzZswMyZM1NrlA5cLhd+//vfY+HChZg+fToKCgpSbZIilnXYGzZswA033BD1vx//+McAQhHqzp07cd9992HFihWpNTQGlt0+nw+PPvooAoEA7rnnntQaKgPLdrsgCELURG5RFBUndBPGcuzYMfzjP/4jHnvsMYwcOTLV5ujiwQcfxOeff47GxkasWbMm1eYoYtmZjvPnz8f8+fOj/ub1erF58+ZwdPr9738fzzzzTCrMU0TObgC4ePEili9fjqysLLz88stwuVwpsI6Nku12YtCgQdizZ0/43y0tLbZLMdiRvXv34sEHH8QTTzxhi6deiZqaGvh8PowdOxbp6emYN28ejh49mmqzFLFshC2H0+nEL3/5S1RVVQEIRYSTJ09OsVXa+Kd/+ieMGDECzz33HNxud6rN6bXMmDEDn3/+Odra2tDV1YWNGzfihhtuSLVZvZrGxkbcf//9+O1vf2srZw0Ap0+fxs9//nP4fD74fD5s2bIFV199darNUsSyEbYcDocDq1evxi9+8QsEg0EUFBTgqaeeSrVZqnz99dfYsmULRo0ahVtuuQVAKLf66quvptiy3kdBQQFWrFiBO++8E36/HxUVFSgtLU21Wb2a119/HV6vF08//XT4b0uXLsWyZctSaJU2Zs6ciYMHD2Lx4sVwOByYN2+epW86NHGGIAjCJtgqJUIQBNGXIYdNEARhE8hhEwRB2ARy2ARBEDaBHDZBEIRNIIdNEARhE8hhEwRB2ARy2ARBEDbh/wPacg2lYIRuiQAAAABJRU5ErkJggg==\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "%matplotlib inline\n", "import matplotlib.pyplot as plt\n", "import seaborn as sns; sns.set() # for plot styling\n", "import numpy as np\n", "from sklearn.datasets.samples_generator import make_blobs\n", "X, y_true = make_blobs(n_samples=300, centers=4,\n", "cluster_std=0.60, random_state=0)\n", "plt.scatter(X[:, 0], X[:, 1], s=50);\n" ] }, { "cell_type": "code", "execution_count": 32, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from sklearn.cluster import KMeans\n", "kmeans = KMeans(n_clusters=4)\n", "kmeans.fit(X)\n", "y_kmeans = kmeans.predict(X)\n", "plt.scatter(X[:, 0], X[:, 1], c=y_kmeans, s=50, cmap='viridis')\n", "centers = kmeans.cluster_centers_\n", "plt.scatter(centers[:, 0], centers[:, 1], c='black', s=200, alpha=0.5);\n" ] }, { "cell_type": "code", "execution_count": 35, "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from sklearn.datasets import load_digits\n", "digits = load_digits()\n", "digits.data.shape\n", "kmeans = KMeans(n_clusters=10, random_state=0)\n", "clusters = kmeans.fit_predict(digits.data)\n", "kmeans.cluster_centers_.shape\n", "fig, ax = plt.subplots(2, 5, figsize=(8, 3))\n", "centers = kmeans.cluster_centers_.reshape(10, 8, 8)\n", "for axi, center in zip(ax.flat, centers):\n", " axi.set(xticks=[], yticks=[])\n", " axi.imshow(center, interpolation='nearest', cmap=plt.cm.binary)\n" ] }, { "cell_type": "code", "execution_count": 37, "metadata": {}, "outputs": [], "source": [ "from scipy.stats import mode\n", "labels = np.zeros_like(clusters)\n", "for i in range(10):\n", " mask = (clusters == i)\n", " labels[mask] = mode(digits.target[mask])[0]\n" ] }, { "cell_type": "code", "execution_count": 38, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from sklearn.metrics import accuracy_score\n", "accuracy_score(digits.target, labels)\n", "0.7935447968836951\n", "from sklearn.metrics import confusion_matrix\n", "mat = confusion_matrix(digits.target, labels)\n", "sns.heatmap(mat.T, square=True, annot=True, fmt='d', cbar=False,\n", "xticklabels=digits.target_names,\n", "yticklabels=digits.target_names)\n", "plt.xlabel('true label')\n", "plt.ylabel('predicted label');\n" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "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": "3.8.5" } }, "nbformat": 4, "nbformat_minor": 2 }