{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "**Chapter 9 – Unsupervised Learning**\n", "\n", "_This notebook contains all the sample code in chapter 9._" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "\n", " \n", " \n", "
\n", " \"Open\n", " \n", " \n", "
" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Setup" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "First, let's import a few common modules, ensure MatplotLib plots figures inline and prepare a function to save the figures. We also check that Python 3.5 or later is installed (although Python 2.x may work, it is deprecated so we strongly recommend you use Python 3 instead), as well as Scikit-Learn ≥0.20." ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "# Python ≥3.5 is required\n", "import sys\n", "assert sys.version_info >= (3, 5)\n", "\n", "# Scikit-Learn ≥0.20 is required\n", "import sklearn\n", "assert sklearn.__version__ >= \"0.20\"\n", "\n", "# Common imports\n", "import numpy as np\n", "import os\n", "\n", "# to make this notebook's output stable across runs\n", "np.random.seed(42)\n", "\n", "# To plot pretty figures\n", "%matplotlib inline\n", "import matplotlib as mpl\n", "import matplotlib.pyplot as plt\n", "mpl.rc('axes', labelsize=14)\n", "mpl.rc('xtick', labelsize=12)\n", "mpl.rc('ytick', labelsize=12)\n", "\n", "# Where to save the figures\n", "PROJECT_ROOT_DIR = \".\"\n", "CHAPTER_ID = \"unsupervised_learning\"\n", "IMAGES_PATH = os.path.join(PROJECT_ROOT_DIR, \"images\", CHAPTER_ID)\n", "os.makedirs(IMAGES_PATH, exist_ok=True)\n", "\n", "def save_fig(fig_id, tight_layout=True, fig_extension=\"png\", resolution=300):\n", " path = os.path.join(IMAGES_PATH, fig_id + \".\" + fig_extension)\n", " print(\"Saving figure\", fig_id)\n", " if tight_layout:\n", " plt.tight_layout()\n", " plt.savefig(path, format=fig_extension, dpi=resolution)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Clustering" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**Introduction – Classification _vs_ Clustering**" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "from sklearn.datasets import load_iris" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array(['setosa', 'versicolor', 'virginica'], dtype='" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(9, 3.5))\n", "\n", "plt.subplot(121)\n", "plt.plot(X[y==0, 2], X[y==0, 3], \"yo\", label=\"Iris setosa\")\n", "plt.plot(X[y==1, 2], X[y==1, 3], \"bs\", label=\"Iris versicolor\")\n", "plt.plot(X[y==2, 2], X[y==2, 3], \"g^\", label=\"Iris virginica\")\n", "plt.xlabel(\"Petal length\", fontsize=14)\n", "plt.ylabel(\"Petal width\", fontsize=14)\n", "plt.legend(fontsize=12)\n", "\n", "plt.subplot(122)\n", "plt.scatter(X[:, 2], X[:, 3], c=\"k\", marker=\".\")\n", "plt.xlabel(\"Petal length\", fontsize=14)\n", "plt.tick_params(labelleft=False)\n", "\n", "save_fig(\"classification_vs_clustering_plot\")\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "A Gaussian mixture model (explained below) can actually separate these clusters pretty well (using all 4 features: petal length & width, and sepal length & width)." ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [], "source": [ "from sklearn.mixture import GaussianMixture" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [], "source": [ "y_pred = GaussianMixture(n_components=3, random_state=42).fit(X).predict(X)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's map each cluster to a class. Instead of hard coding the mapping (as is done in the book, for simplicity), we will pick the most common class for each cluster (using the `scipy.stats.mode()` function):" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "{1: 0, 2: 1, 0: 2}" ] }, "execution_count": 7, "metadata": {}, "output_type": "execute_result" } ], "source": [ "from scipy import stats\n", "\n", "mapping = {}\n", "for class_id in np.unique(y):\n", " mode, _ = stats.mode(y_pred[y==class_id])\n", " mapping[mode[0]] = class_id\n", "\n", "mapping" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [], "source": [ "y_pred = np.array([mapping[cluster_id] for cluster_id in y_pred])" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.plot(X[y_pred==0, 2], X[y_pred==0, 3], \"yo\", label=\"Cluster 1\")\n", "plt.plot(X[y_pred==1, 2], X[y_pred==1, 3], \"bs\", label=\"Cluster 2\")\n", "plt.plot(X[y_pred==2, 2], X[y_pred==2, 3], \"g^\", label=\"Cluster 3\")\n", "plt.xlabel(\"Petal length\", fontsize=14)\n", "plt.ylabel(\"Petal width\", fontsize=14)\n", "plt.legend(loc=\"upper left\", fontsize=12)\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "145" ] }, "execution_count": 10, "metadata": {}, "output_type": "execute_result" } ], "source": [ "np.sum(y_pred==y)" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "0.9666666666666667" ] }, "execution_count": 11, "metadata": {}, "output_type": "execute_result" } ], "source": [ "np.sum(y_pred==y) / len(y_pred)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**Note**: the results in this notebook may differ slightly from the book. This is because algorithms can sometimes be tweaked a bit between Scikit-Learn versions." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## K-Means" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's start by generating some blobs:" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [], "source": [ "from sklearn.datasets import make_blobs" ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [], "source": [ "blob_centers = np.array(\n", " [[ 0.2, 2.3],\n", " [-1.5 , 2.3],\n", " [-2.8, 1.8],\n", " [-2.8, 2.8],\n", " [-2.8, 1.3]])\n", "blob_std = np.array([0.4, 0.3, 0.1, 0.1, 0.1])" ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [], "source": [ "X, y = make_blobs(n_samples=2000, centers=blob_centers,\n", " cluster_std=blob_std, random_state=7)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now let's plot them:" ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [], "source": [ "def plot_clusters(X, y=None):\n", " plt.scatter(X[:, 0], X[:, 1], c=y, s=1)\n", " plt.xlabel(\"$x_1$\", fontsize=14)\n", " plt.ylabel(\"$x_2$\", fontsize=14, rotation=0)" ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Saving figure blobs_plot\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(8, 4))\n", "plot_clusters(X)\n", "save_fig(\"blobs_plot\")\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**Fit and predict**" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's train a K-Means clusterer on this dataset. It will try to find each blob's center and assign each instance to the closest blob:" ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [], "source": [ "from sklearn.cluster import KMeans" ] }, { "cell_type": "code", "execution_count": 18, "metadata": {}, "outputs": [], "source": [ "k = 5\n", "kmeans = KMeans(n_clusters=k, random_state=42)\n", "y_pred = kmeans.fit_predict(X)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Each instance was assigned to one of the 5 clusters:" ] }, { "cell_type": "code", "execution_count": 19, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([4, 1, 0, ..., 3, 0, 1], dtype=int32)" ] }, "execution_count": 19, "metadata": {}, "output_type": "execute_result" } ], "source": [ "y_pred" ] }, { "cell_type": "code", "execution_count": 20, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "True" ] }, "execution_count": 20, "metadata": {}, "output_type": "execute_result" } ], "source": [ "y_pred is kmeans.labels_" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "And the following 5 _centroids_ (i.e., cluster centers) were estimated:" ] }, { "cell_type": "code", "execution_count": 21, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([[ 0.20876306, 2.25551336],\n", " [-2.80389616, 1.80117999],\n", " [-1.46679593, 2.28585348],\n", " [-2.79290307, 2.79641063],\n", " [-2.80037642, 1.30082566]])" ] }, "execution_count": 21, "metadata": {}, "output_type": "execute_result" } ], "source": [ "kmeans.cluster_centers_" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Note that the `KMeans` instance preserves the labels of the instances it was trained on. Somewhat confusingly, in this context, the _label_ of an instance is the index of the cluster that instance gets assigned to:" ] }, { "cell_type": "code", "execution_count": 22, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([4, 1, 0, ..., 3, 0, 1], dtype=int32)" ] }, "execution_count": 22, "metadata": {}, "output_type": "execute_result" } ], "source": [ "kmeans.labels_" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Of course, we can predict the labels of new instances:" ] }, { "cell_type": "code", "execution_count": 23, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([0, 0, 3, 3], dtype=int32)" ] }, "execution_count": 23, "metadata": {}, "output_type": "execute_result" } ], "source": [ "X_new = np.array([[0, 2], [3, 2], [-3, 3], [-3, 2.5]])\n", "kmeans.predict(X_new)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**Decision Boundaries**" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's plot the model's decision boundaries. This gives us a _Voronoi diagram_:" ] }, { "cell_type": "code", "execution_count": 24, "metadata": {}, "outputs": [], "source": [ "def plot_data(X):\n", " plt.plot(X[:, 0], X[:, 1], 'k.', markersize=2)\n", "\n", "def plot_centroids(centroids, weights=None, circle_color='w', cross_color='k'):\n", " if weights is not None:\n", " centroids = centroids[weights > weights.max() / 10]\n", " plt.scatter(centroids[:, 0], centroids[:, 1],\n", " marker='o', s=35, linewidths=8,\n", " color=circle_color, zorder=10, alpha=0.9)\n", " plt.scatter(centroids[:, 0], centroids[:, 1],\n", " marker='x', s=2, linewidths=12,\n", " color=cross_color, zorder=11, alpha=1)\n", "\n", "def plot_decision_boundaries(clusterer, X, resolution=1000, show_centroids=True,\n", " show_xlabels=True, show_ylabels=True):\n", " mins = X.min(axis=0) - 0.1\n", " maxs = X.max(axis=0) + 0.1\n", " xx, yy = np.meshgrid(np.linspace(mins[0], maxs[0], resolution),\n", " np.linspace(mins[1], maxs[1], resolution))\n", " Z = clusterer.predict(np.c_[xx.ravel(), yy.ravel()])\n", " Z = Z.reshape(xx.shape)\n", "\n", " plt.contourf(Z, extent=(mins[0], maxs[0], mins[1], maxs[1]),\n", " cmap=\"Pastel2\")\n", " plt.contour(Z, extent=(mins[0], maxs[0], mins[1], maxs[1]),\n", " linewidths=1, colors='k')\n", " plot_data(X)\n", " if show_centroids:\n", " plot_centroids(clusterer.cluster_centers_)\n", "\n", " if show_xlabels:\n", " plt.xlabel(\"$x_1$\", fontsize=14)\n", " else:\n", " plt.tick_params(labelbottom=False)\n", " if show_ylabels:\n", " plt.ylabel(\"$x_2$\", fontsize=14, rotation=0)\n", " else:\n", " plt.tick_params(labelleft=False)" ] }, { "cell_type": "code", "execution_count": 25, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Saving figure voronoi_plot\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(8, 4))\n", "plot_decision_boundaries(kmeans, X)\n", "save_fig(\"voronoi_plot\")\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Not bad! Some of the instances near the edges were probably assigned to the wrong cluster, but overall it looks pretty good." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**Hard Clustering _vs_ Soft Clustering**" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Rather than arbitrarily choosing the closest cluster for each instance, which is called _hard clustering_, it might be better measure the distance of each instance to all 5 centroids. This is what the `transform()` method does:" ] }, { "cell_type": "code", "execution_count": 26, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([[2.88633901, 0.32995317, 2.9042344 , 1.49439034, 2.81093633],\n", " [5.84236351, 2.80290755, 5.84739223, 4.4759332 , 5.80730058],\n", " [1.71086031, 3.29399768, 0.29040966, 1.69136631, 1.21475352],\n", " [1.21567622, 3.21806371, 0.36159148, 1.54808703, 0.72581411]])" ] }, "execution_count": 26, "metadata": {}, "output_type": "execute_result" } ], "source": [ "kmeans.transform(X_new)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "You can verify that this is indeed the Euclidian distance between each instance and each centroid:" ] }, { "cell_type": "code", "execution_count": 27, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([[2.88633901, 0.32995317, 2.9042344 , 1.49439034, 2.81093633],\n", " [5.84236351, 2.80290755, 5.84739223, 4.4759332 , 5.80730058],\n", " [1.71086031, 3.29399768, 0.29040966, 1.69136631, 1.21475352],\n", " [1.21567622, 3.21806371, 0.36159148, 1.54808703, 0.72581411]])" ] }, "execution_count": 27, "metadata": {}, "output_type": "execute_result" } ], "source": [ "np.linalg.norm(np.tile(X_new, (1, k)).reshape(-1, k, 2) - kmeans.cluster_centers_, axis=2)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### The K-Means Algorithm" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The K-Means algorithm is one of the fastest clustering algorithms, and also one of the simplest:\n", "* First initialize $k$ centroids randomly: $k$ distinct instances are chosen randomly from the dataset and the centroids are placed at their locations.\n", "* Repeat until convergence (i.e., until the centroids stop moving):\n", " * Assign each instance to the closest centroid.\n", " * Update the centroids to be the mean of the instances that are assigned to them." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The `KMeans` class applies an optimized algorithm by default. To get the original K-Means algorithm (for educational purposes only), you must set `init=\"random\"`, `n_init=1`and `algorithm=\"full\"`. These hyperparameters will be explained below." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's run the K-Means algorithm for 1, 2 and 3 iterations, to see how the centroids move around:" ] }, { "cell_type": "code", "execution_count": 28, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "KMeans(algorithm='full', init='random', max_iter=3, n_clusters=5, n_init=1,\n", " random_state=0)" ] }, "execution_count": 28, "metadata": {}, "output_type": "execute_result" } ], "source": [ "kmeans_iter1 = KMeans(n_clusters=5, init=\"random\", n_init=1,\n", " algorithm=\"full\", max_iter=1, random_state=0)\n", "kmeans_iter2 = KMeans(n_clusters=5, init=\"random\", n_init=1,\n", " algorithm=\"full\", max_iter=2, random_state=0)\n", "kmeans_iter3 = KMeans(n_clusters=5, init=\"random\", n_init=1,\n", " algorithm=\"full\", max_iter=3, random_state=0)\n", "kmeans_iter1.fit(X)\n", "kmeans_iter2.fit(X)\n", "kmeans_iter3.fit(X)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "And let's plot this:" ] }, { "cell_type": "code", "execution_count": 29, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Saving figure kmeans_algorithm_plot\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(10, 8))\n", "\n", "plt.subplot(321)\n", "plot_data(X)\n", "plot_centroids(kmeans_iter1.cluster_centers_, circle_color='r', cross_color='w')\n", "plt.ylabel(\"$x_2$\", fontsize=14, rotation=0)\n", "plt.tick_params(labelbottom=False)\n", "plt.title(\"Update the centroids (initially randomly)\", fontsize=14)\n", "\n", "plt.subplot(322)\n", "plot_decision_boundaries(kmeans_iter1, X, show_xlabels=False, show_ylabels=False)\n", "plt.title(\"Label the instances\", fontsize=14)\n", "\n", "plt.subplot(323)\n", "plot_decision_boundaries(kmeans_iter1, X, show_centroids=False, show_xlabels=False)\n", "plot_centroids(kmeans_iter2.cluster_centers_)\n", "\n", "plt.subplot(324)\n", "plot_decision_boundaries(kmeans_iter2, X, show_xlabels=False, show_ylabels=False)\n", "\n", "plt.subplot(325)\n", "plot_decision_boundaries(kmeans_iter2, X, show_centroids=False)\n", "plot_centroids(kmeans_iter3.cluster_centers_)\n", "\n", "plt.subplot(326)\n", "plot_decision_boundaries(kmeans_iter3, X, show_ylabels=False)\n", "\n", "save_fig(\"kmeans_algorithm_plot\")\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**K-Means Variability**" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "In the original K-Means algorithm, the centroids are just initialized randomly, and the algorithm simply runs a single iteration to gradually improve the centroids, as we saw above.\n", "\n", "However, one major problem with this approach is that if you run K-Means multiple times (or with different random seeds), it can converge to very different solutions, as you can see below:" ] }, { "cell_type": "code", "execution_count": 30, "metadata": {}, "outputs": [], "source": [ "def plot_clusterer_comparison(clusterer1, clusterer2, X, title1=None, title2=None):\n", " clusterer1.fit(X)\n", " clusterer2.fit(X)\n", "\n", " plt.figure(figsize=(10, 3.2))\n", "\n", " plt.subplot(121)\n", " plot_decision_boundaries(clusterer1, X)\n", " if title1:\n", " plt.title(title1, fontsize=14)\n", "\n", " plt.subplot(122)\n", " plot_decision_boundaries(clusterer2, X, show_ylabels=False)\n", " if title2:\n", " plt.title(title2, fontsize=14)" ] }, { "cell_type": "code", "execution_count": 31, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Saving figure kmeans_variability_plot\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "kmeans_rnd_init1 = KMeans(n_clusters=5, init=\"random\", n_init=1,\n", " algorithm=\"full\", random_state=2)\n", "kmeans_rnd_init2 = KMeans(n_clusters=5, init=\"random\", n_init=1,\n", " algorithm=\"full\", random_state=5)\n", "\n", "plot_clusterer_comparison(kmeans_rnd_init1, kmeans_rnd_init2, X,\n", " \"Solution 1\", \"Solution 2 (with a different random init)\")\n", "\n", "save_fig(\"kmeans_variability_plot\")\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Inertia" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "To select the best model, we will need a way to evaluate a K-Mean model's performance. Unfortunately, clustering is an unsupervised task, so we do not have the targets. But at least we can measure the distance between each instance and its centroid. This is the idea behind the _inertia_ metric:" ] }, { "cell_type": "code", "execution_count": 32, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "211.5985372581683" ] }, "execution_count": 32, "metadata": {}, "output_type": "execute_result" } ], "source": [ "kmeans.inertia_" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "As you can easily verify, inertia is the sum of the squared distances between each training instance and its closest centroid:" ] }, { "cell_type": "code", "execution_count": 33, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "211.5985372581684" ] }, "execution_count": 33, "metadata": {}, "output_type": "execute_result" } ], "source": [ "X_dist = kmeans.transform(X)\n", "np.sum(X_dist[np.arange(len(X_dist)), kmeans.labels_]**2)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The `score()` method returns the negative inertia. Why negative? Well, it is because a predictor's `score()` method must always respect the \"_greater is better_\" rule." ] }, { "cell_type": "code", "execution_count": 34, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "-211.5985372581683" ] }, "execution_count": 34, "metadata": {}, "output_type": "execute_result" } ], "source": [ "kmeans.score(X)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Multiple Initializations" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "So one approach to solve the variability issue is to simply run the K-Means algorithm multiple times with different random initializations, and select the solution that minimizes the inertia. For example, here are the inertias of the two \"bad\" models shown in the previous figure:" ] }, { "cell_type": "code", "execution_count": 35, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "219.8438540223319" ] }, "execution_count": 35, "metadata": {}, "output_type": "execute_result" } ], "source": [ "kmeans_rnd_init1.inertia_" ] }, { "cell_type": "code", "execution_count": 36, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "236.95563196978728" ] }, "execution_count": 36, "metadata": {}, "output_type": "execute_result" } ], "source": [ "kmeans_rnd_init2.inertia_" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "As you can see, they have a higher inertia than the first \"good\" model we trained, which means they are probably worse." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "When you set the `n_init` hyperparameter, Scikit-Learn runs the original algorithm `n_init` times, and selects the solution that minimizes the inertia. By default, Scikit-Learn sets `n_init=10`." ] }, { "cell_type": "code", "execution_count": 37, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "KMeans(algorithm='full', init='random', n_clusters=5, random_state=2)" ] }, "execution_count": 37, "metadata": {}, "output_type": "execute_result" } ], "source": [ "kmeans_rnd_10_inits = KMeans(n_clusters=5, init=\"random\", n_init=10,\n", " algorithm=\"full\", random_state=2)\n", "kmeans_rnd_10_inits.fit(X)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "As you can see, we end up with the initial model, which is certainly the optimal K-Means solution (at least in terms of inertia, and assuming $k=5$)." ] }, { "cell_type": "code", "execution_count": 38, "metadata": {}, "outputs": [ { "data": { "image/png": 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+fc4qwPMZ5u7OM2sWui/rONqmMJcy45G72192fF8TUNv+6qNGjaKgoEBPctOoW7cut956K61bt+bcuXMsWLCAe+65RxfzuXPn0rdvX/bs2UOTJk1ISUkhLi6OSy65hIULF+p16REREfTr14/jx4/zyCOPkJWVxauvvsqGDRuc3kOw75e7i4QcOHAAgPJh5al6SVwJW1c8Sirk7ct1HKMF3iTgqeYygcUxlO5pUpi788xKLvNlHbUf7l/KjJAb1S0bjQ21/VkrO9O6uS1btkwvO6tXrx4HDx7Uv27fvp327dsDUK1aNRYuXEhiYiI7duygVatWAMTHx5OSkqILmpSSLl26MHPmTH3d9u3bs3//frZs2cKWLVvYsGED7du3t7NJIxT2y91l2vfv3x+AkZPHlKhd3uKtMJophr6E6h0T7rxJwFPNZQKLYyjdUxF0d55ZYurLOmo/3L+UGSE3wlFkjERHe81isbBt2zYAfQDK//73Px588EG2bNlCQkICYWFheri9Tp06zJ07VxdxgLlz51K7dm3y8vIAEELQp08ftmzZwvHjx+nYsSN9+vShTZs2RbzuUN0HdxUJKSwsJDc3F4COd3b3y/XNElRPhVG7niUvj3mTphZ5v6Rw9OK98epVcl1w4U4Ene0/O55ntI4ve9dKlIOPMrNHbkTPnj3thp1oP2s91ffv36/3Wc/Pz9dHkD777LO6t7xlyxb9+AsXLhAWZv1IT5w4Qd++9iPY+/bty5EjRwgLCyMsLAwpJXPnzmX79u0cP36c9evXs2zZMl24NQ88VEUccHkPw4cPB6D1zTf67fpm7S937d2DQS8MtxM525/BKuKTRo1m+rjJCESR970l+1QmX30yi+xTmV6fq3nx2sNLTLWqdO3dg5Xzl3Bo7z6X6zqeG4q42sc1a6+4uJhlR3H2n23PDZbPReE9ZdojdwxVaz/PmjWL999/n40bN5KWlsaQIUP0+eIHDx5k7dq1uvh36tSJUaNGIaXk5ZdfJjw8nIyMDO6880527txJfHy8vke+Y8cO7r77bn2PHGDNmjW6J3/s2LEijWhCWcTdsXHjRgBGz3zfzZG+48q79MZbdwxvG4W7V85fwqZVqbTt0oH/DOxdbCHUHkJ+3biZERNGm7replWpQOkNnbvaxw2WRiTe2OHKcy5OyNz23GD5XBTeU6aF3BbHhjAAmZmZpKWlkZ+fD8DVV19NhQoV6NSpk76n/uqrr7J//359r7xWrVr06NGDXbt26YltderUISUlhbvvvps9e/aQmJiot2w9ePAggN5fXWvfWlo7uGlo5XYVIyIMS868DYn7Ugpm9l6w7UODGd5s1949dNFdOX+JoY3e7NXbdoq7+vo2pTp07krcgiXxyhs7XImst6FuZ53ibO1R5WKhRZkTcmdZ1I7741qiW0REBNu2bdOT0QBmzpxJRkYGjRo1YsOGDbRr146GDRsyceJEnnvuOfLy8mjSpAlffvkl1apVQwhB1apVSUlJ0evIc3NzWbt2LTVq1CAvL48bbriB5cuXs3fvXgYOHMiwYcO45pprGD58OKNGjdLHpJaW2vExY6zJbZO/+9zwfW9F1hdRNnsv2Oz68ZhqVRkxYbQuxEa4u2/H97Vj6jZuaJqdwYgrcQuWPV5v7PBE9D0VX2cPBbb2vDN5UdB75+ph41/KnJA7y6I2SsqKjY0lMjKStLQ0vRUrWGvOs7OzKSgoYNiwYWRmZurjS8uXL8+8efOIjo6mWrVqXLhwgTNnzgAQFxfH4sWLOX36NCtXruSnn37SB63s2LFDn372yiuvsGDBAr30rKCggJYtW9o9UISyp56Tk0NBQQHgXFC8FVlfRNks4fVnuZY7G93dt7v3VamZfzFLbDwRfV/L1Hw9BgIrpmor4F/KnJA7y6I2Kk+zPU4T63r16vH000+TnJyse8qTJ0/Wj58/fz7p6emMGTNG3we35eDBgwwbNowzZ87oYfUKFSrw9NNPA/DMM8/onveoUaMAaNSokb53rpWihTKPPPIIALf1udvpMd6KrJnesLfi5kk0wF+C6e6+3b2vSs38i7di404Yzdgr97RTnCf2BlJMg2WLJBgoc0LuTLDdHZ+VlUXVqlV1EW3Tpg0xMTF2xwohKCgoYOfOnYwdO5bMzEzuuecewsPDqVq1KseOHePw4cOcPn2aQ4cO6ecVFBTw559/ApCfn29XN64NT+nfvz8REREkJSUZhtVDKey+e/duAB5+49kAW2KMt+LmSTQgWAWztJWaBVu41VuxcSeMnu6V++tzcFw3kGIaLFskwUCZE3JXaGLYqVMnPTNdE0XbBwAtqx2sIW4to11KqSetNW3alEsvvZTc3FwmTZrEsGHDsFgs+pxxbU753r17ufLKK+08/927d5OdnU1sbKw+UnXYsGEuH0BCZcTp0qVLAYitWo0KFSoE2BpjvBU3T6IBwSqYpa0vvK3QBUPvcW/Fxp0w9ky4ljWpv9Ez4VqX69hOQ5v5yTDT7t/xQcIsMQ22B7BQQwm5DZoYbt68WW+L6ircrg0yyc/Pp3Hjxhw6dIirr76aDRs2sHfvXoYOHUp2djbbtm3j2LFj7Nq1C4DWrVszbtw4Q8959+7dpKWl8dZbb/HRRx95PLo0VEacjh492vp17n9NW9PssHVxxE0NUik+Fy5cwHL2HL6Mzwn1cip3wvhFynqWLk/n2msuZ/QL1kmBRiI4qF8XfaTp9DmrTLt/f3ngofhvFUwoIbfBtjZc667mLmSdnJysJ7oBbN68GYD09HReeOEFCgoK2LJli13We+PGjUlOTgasPd21dQAaNGhAWloaTZs2BTzfCvB2yyAQnDt3Tu981/jKZqatG0xh62CyJVQpLDgPQIcbvP8dcVZOFUj87W0aiWBc9SrM/GSYfl0z7PHnfQTLv1WoooTcBlsxdBZGB/swti3h4eHk5+dTu3ZtADvxbt26NVJKtmzZwv79+/UQuzbZTEtmGzJkiF23uVDC3UNPr169ALjn0UGmXteMsPWhvfuY9vpEBr88slilWYEOoYdCFrqnNsbFFU8sPA37BkJofeXxoQlER0fYCZ4zEXR2/x98upQxb84nNzdf9+o9QbuP71dtpf11zXh8aIJPn5fR511S+92lNYSvhNwNriaOOYpt9+7dmTBhgh6Wj4mJoVOnTtSsWZOkpCSys7OZMGECDz74IC1btrRbQ5s77iyZLRRwtU8vpeTYsWMADHzucVOva0bYetrrE/VuZ6/OmOzmaP/a4kj2qUy+nTEfieSOgUkuxc/sbnD+INiiFv4O65rpbRoJXkmJoG24fsXq7URHR3h93ZMZOTzw8PssXZ4OlHwY3dd/62B/AFBCjmtP0ihk7fhaUlISixcvJiYmRs8yX7ZsGQcPHmTLli10795dF/ENGzbQpk0bhg4danfdoUOHlsSt+hVX+/Rvv/02ALUvqw8En+c4+OWRdl8DhdHnsnL+Er6YNAWAyKgot3Xl7rrBBZpARy0c8XdYt7id14p7nCNGXr0naOH6Dz61Jqz68nlNn7OKpcvTSejWOiBhdF//rYN9D18JOb5nfGtCbLFY9ND4gAEDGDp0KN27d2fUqFHs37+fqVOnsmPHDruRpEbX9aWELJjKzlzt0y9YsACAj1ZZv/q79trbc+s2blgsT9wsu4w+l669e5CfZ0EiPeoZ764bnCd2+JNgS/xzJrSB8sI8FQ1fxaU4ZWpx1at4FY53xFZIva2TNwNfoxfBvoevhBzvM74dBdxoX7tBgwZMmDCBt956iwYNGhAREUF8fLxd6LxTp06sX7+e1NRUveTN2weKUCg727p1K1JKwsqFUa5cOcD/tdfBFr7VcLTLUVCNPpeYalXpO8p5xObbGfP5YtIU8vMs9B011COhdDeGNVgiJWbjjVAEwgs7mZFDbm4+rz7Xm54J1/LO5EVObdVEpWfCtYweNw/A6b61s/t2vMdAC2mwer7BXrOuhBzvM7418bQVcCNveO3ataSlpVGhQgU2bNjAsGHD7I5bu3YtW7ZsAWDChAl6/3FvEt1CoexM61D33Cdv6a+ZXXvtiSB6eq6ZuLPLUVCdfS6ubJRIu69G52jX0r7Pz7PQZ8SQIp9PsD4AFQdbcfJGKPzlhbkSy+lzVjHmzfm8+lxvRr0wnaXL053Wgmvi8s7kRYx5cz6A031rZ/fteI+BFtJg93yDFSXkPmArnq7C2Z06dWLz5s08+OCDxMfHY7FYyMrK0s/p2bOn3gBm1KhRPpWQBXvZ2dmzZ8nJsc43vqGbd/9zehOC9VQQPTnXEzwVf3d2GT1wONsnd2bjHQOTiIyKcinKgN33X0yawqAXhhexPdj2r83AsUkMoHu7PROuZfHSXwxF1V9emCux1OzLzc1n6fJ0mjWp47YWvGfCtXy7bBPy4vdGuMpst22cE2ghDXbPN1hRQu4Dnorn2rVr9eS2yMhI3n//fSIjI/VzY2NjGT58uL/NDShaA5imbVr49TrFESBvz80+lcmkUaM9muntbm1nc82N9smdrePsocXoHGffu1srlHHcl9W8WK3zWUlnULsSS82+kxk5REdH2D1oaDh69IuX/sLaDTsAWLz0F54eXsfpukY4PlgoIQ09hJTS/VFBRnx8vLRtwhKs2CaiAUGTlFaStG3bFoB5v60hukrlAFtjDl99Movp4ybTtkuHYpd4OXrf2acy+WZGMgLBfwb2Lnao35vSteJcw8ytiYKz5+h1xQ3c3aMdX33+nAkWFkUTQ00oXXnm3q7pag0z9qC1h5C3Xx+gi76WSe5Lbbcng1qKs74/CPZyMH8hqvTaLKVs6/i68shNwl32eLCHwP2BNhwlvGLFUiPiYO/puhIuI5F2FzJfOX8J8yZNNQx7+4I3pWvFuUZJ7av7Yyzo08PrmDJ/25P9ZaNjvL0nR4++uJnkniSguduDdySUmuyUBpSQm4RR9ngoZJT7k0GDrB3cRv33jQBbYi5G4WdPRdpdyNzsPWp3pWvu8MTbLsl9dX/9AXcV7nYlSrbveTPn2zYj3dt7MhJexwiDmQI6qF8XcnPz7ex3h3ZPubn5es26mYIe6L38YMN0IRdChAMfAbcA1YA/gReklN8ZHDsQmAZYbF6+Q0q5xmy7/I2zDnAWi8Uuyc2Z5x5M9eBmce7cOQBuvD0w/7P5EvL19BzH43wRaaNrOT4kFDds7a50zR2eeNslua/urz/g3uwhu3rP2Rq2gm+7Rw/e35PRg4XttDOz9/x98fhtk/b8MY3O1cNMWQu3g3888vLAQaATcABIAOYLIa6WUu4zOP4nKWUHP9hRojjrAOeY5ObMSy9t3vuDDz4IwHXdbg7I9b1JSLPF0zCxYytUZ/Xftmto5WeaMHtyLU9brvqrhC7YstgDkdXsSmg9FWFHwTdKwDuZkeOybtzZWrbX75lwLTd3uCrgnqrtPQH880829/3fBFas3m76aFWNshxuN13IpZS5wGibl74RQvwNtAH2mX29YMfRU3dW9x0K9eDesHXrVgBemvpeQK6/cv4SNq1KpW2XDkVEyJnoZZ/KdFpf7Xhuu1s7FmmF6snDgq14uxPJ7FOZWPLyaNnhOsOWq7b34a996lDNYjfTO3P18ODpg4XRvrY7794I24Yxg/p1KeLpa8KpHRtoDzWuehWioyP0PXZPyul8pSyH2/2+Ry6EqAk0AX53csg1QoiTwClgNjBeSnne33aVFI6eurOkt1BNhjPaEtDasQYywc1VQpoz0dMSw9p2cR4gsj3Xk1ao7uxy1fwlK+MUCz+dTcKARCpUrEC7Wzs6taWkPedg7wDnThT9JXJG63p6LU+ESEs8e/v1AcRVr1IkSc/2voGg8FBt99jvS7ypSDmdWZTlGnS/CrkQogLwOTBTSrnL4JB1wFXAfuBKIBk4D4w3WOsh4CGAWrVq+ctkhZcYbQm88847AHy6dmHA7HLlSdqKnq0gOQ4c6dq7h1661enO7qT9sE4XU18F05v2qa06XAfAkb8OsDX1Z66+vo3diFVnDwWeiGxxy9zcRQACLfTuRNFfYVijdT29lidC5Hhfzr7edENzXn7jC54edmfAPVTHPXajOvfSQqCiIH4TciFEGFYP+xxgOLdSSvmXzY+/CiFeA57GQMillFOAKWCtIzfd4GJSGpPVPMFxS+Do0aMUFhYCEFPduOTKV8xay1b0tJpwsAqSrZdtW7q1dtEyju47qB9ndK5Z99S1dw8seXmcs5ylWdsW+kOE48ODs4cCT/fe502yDvqJiIr02n53EYBAt3p1J4r+CsMarevuWt788XfsxOZ4n9rP/0kcy4rV26lYsXyJCEowhPGDgUDt0/tFyIUQAms2ek0gQUpZ4OGpEhD+sMnflLZkNU9x3BJ49NFHAeg9bDBg7h90f4iDoyDZimPX3j3Ysm4jW1N/5ui+g0X227V9cseQt4YnDx5G9xRTrSqRUVF6PXndxg3tPHF31/AkzK49LAiET9EFd5GFYEuS8yeOIubtvHBv//h7cvzLTyfy19/HefnpRE9uodiU5UQzWwK1T+8vj/xjoDlwi5TS4uwgIcTtQLqU8rgQohnwMpDiJ5v8SmlLVvOFs2fPcvCg1Wvt9+QjgLl/0P0hDu4EqXnbllx2ZRMiIiOLhKDTfljHplWpXNEinoioyCKC7cmDh7N78vRenT0IuHvQialWlftHPezymOIQ7ElyZgqPq7U88VS1PeTc3HxOZuS49Wg9EYv1P+1k157DrP9pJ9e3a+rF3fhGWU40syVQ+/RhZi8ohGgADAVaAceEEGcu/ne/EKL+xe/rXzy8K7BdCJELLAW+AsaZbVNJoHmmZSms7sjTTz8NQMsO7bAGZf79g+6uJvurT2aRfSrT5fpGa3l6ri/Ha6H12OrV9PGgtnTt3YNBLwxHIpk+bjKTRo22W1d733Egiu31nX0+nnxuzq5RGtFKs2yzsj15zxmD+nXh7dcHmCI82lpakxdbOzSRnz5nldPzbTO7XR1ne/zTw+9ymzhX3Pvz5nN1Z5Mv/0be4O/1gx3ThVxKuV9KKaSUEVLKSjb/fS6lPHDx+wMXj31KSllTShktpWwkpXzFizC8Isj48ccfARg9679enad5lSvnLynynjvhdXVucY/v2rsHfUYMIT/PYnh9rS5cIGjZoR2bVqXy7Yz5ur1GYqxd31H0fcVTwTcTbx+ezMBWEB3/aHsilo54IoberrV46S9F7PBUUM18sLC1qTj3Z/u57v7jMP9JHMvuPw4Xey1/4O/1gx3VolVhCj/99BMAFSPCKV/eu18rV2Fkd+Fpb8Pt3hyv7VVPHzfZaUKY5rXfN+IhWne8AUteXhF7XWXGB3P42RmBSGSzDd26aq5SHIqbsOVoh6fruWsBG6iBJbb388DD7+sd475NealYa7nC9rMAPP73KOuhfSXkClMYNWoUAOOSp3p9rqelYq7O1bxEdxnt3u7duru+lvDW8c5u1G3ckOxTmUVmgzsKn2P9eaBLtbwlEIlstnuPnjRX8YUPPl3KmDfnk5ubX6QlqSei7GiHpw1ebEXSqEmMtwNLzML2fiaMG2T31Ru8eUDytQ6+LNeQgxJyhQnk5+dTUGDdEWl6zZUujzUSLVdC5qnwuvISD+3dx7TXJzL45ZFOs79d2ejq+lrCm1bjbXS8NrjEkpenh9xdtWr1VdhL6oEg0Ils3vzRNqssypfkOE8bvCxdnk5Ct9ZOW8B6O7DEFmf370u0wBdPHLz77FyV7ymco4RcUSyysrLo27cvAJ3uSnB7vJHguhJhT8XJlZc47fWJes/1V2dM9tpGVzZ44p3GVKtKRFSkvmZkVBSWvDzmTZqqTybrNXSALvS+hK597S1f2vFGRB4fmqBP6nKkZ8K1rEn9jZ4J13p8bU8eOLR1X3460VBYtWYqvj6QOLt/Tz8Xf4xddYXjZ+YPL7s01rwrIVcUi8WLF3PixAkARrz3istjnfUyL84euYYrL3HwyyPtvrqy75sZyZyznLWz0ZUNnnqn2lr5eRamj5vMfSMeYtALw/U2rK06XMfW1J/twvLehK5d9ZYPNT5++U0ALq1Z/KiCkYg4+0PuanjJ4qW/sHR5Ojd3uMptZzJ3QmG77w3oYXVXU8t8LZdzJqKeiqvRcWaMXQ0kpbHmXQm5olhUqlQJgNjKUZSvUMHlsVpi2KAXhtt5tsXZI3eGrRddt3FDO0/cmYdt2+3M1kZnLV09CV/bHq9597Y153MnfArAZVc24ZqO13sUzjfCVW/5YMKTzy997UYA/vvukGJfz5fhJK6mi3niVXqyvrbv/epzvfXSNaOpZbZzxm2v76lX6UxEPRVXx+Mch7b4C1961pvV0z4UPXYl5Ipi8eabVu9p3Nez3Bzpmyh720Nc49sZ8/li0hTy8yz8Z2Bvt7PDNbuMup0ZtXR1NVY0slxFYitGUZh/jtRFC1k5Z6F+Lcf7Abh7aH8iIos2lPEU7XOJb9eKSaNGe5wL4Hh+STwEeLNtEBZmenUs4P4PudH73niVnqyv7XvbZqIbefrFDY07w1ex0hICX32ut0d77mZuCfjyAGaE2Z32ggEl5AqfyczM5MKFCwDUu/wyt8cXN0nKGxGQSP2r43nOHiiMup05ipxt+dikUaPtxLxS+QiaxFxKtfBoAPJzLQwb8ggjH36cM6KAg4U5nDmfr6+tPWxoYXXbEjd34mo0wrRu44Yc2rsP8CwXQKMky8mKm/Fuhrfk7g95cUPBnqzvmBXvjOKGxp3hKFauPtfdfxxm1AvTXWasm/3A4W3PejMjBaFYyqaEXOEz/fr1A2DAc4YzcUzHMcTtanrXHQOTipSB2fZTt80ad+WFOopcTLWqjJgwWk8s02rBa0bEEHNacp5cqGEV8oqRERScK6Dg3DkuWPKpLSqSXTmc4/nZwL8PG1pYvd2tHfUSOnfiajTCNL5dK5Lfn+Y2F8DV5+oMMwfWePrZGxGK3lJx8CQ07svDjSZSWje63Nx8PdzveL1RL0zX9+9nfjLMMCHQ1QOHN+1nje7P1WsajuNdi0Ow7el7ghJyhU9IKTl+/DgA5cLK6WVVZuOsFOyrT2a5nN7l6P07vu9MKI08cKBIqN22FrxS+QhiTku63XIrkZGRLFvxPTVq1EBeuIBEcjr3DHffeReWfAvLV/xAbmQEZ87nF3nYsM06116zFXfbz9dxT1zbf7/6+jZUrhrj1WfszWhVo8/SW4qzVih6S/7G7uFmxH1QriqIiiDPQWEmGIy70MRKm2eu7dUbfa62NeTe7rlr7WefeXmWKXXwzh5ayvrvhRJyhU9MmDABgOjYGL+GZb3dz7Yl+1SmPk/8joFJ+nrtbu2oZ89rQtnu1o6k/bBOLwvTrmEr6s4eKprEXMp5comMjGTnjp10v+U2lq9YQWzlKpw88Q+9evVi9+7dNGvWjIrh4TSJqU56xt9FHkxss86195yNSjXybLXPytX+va8Ey/CbYPCWzAjvm5lQNahfF6rH1eb+/kMhsmbRAwoz4NwuuHDa8FztqzM7ml5Rx66G3J/lZ47rg313N2cRmWD4vQgkISnkO3fupG3btoE2g7CwMMLDw01ds3r16jRu3NjUNW+66Sa6du1q6prz5s0DYNLSOfz4zQq/lTx5s5/tiLYHDdbabUAXuk2rUhn0wnDSflhn95pWFmYU3jYSyshyFa174jWiWbbie7rfcttFMb+VL+bN474+fXQRT05OJrZyFSLCI4koV4H8wn/HCjjLOneVMW+09++v9q9mNoEJZEMZMwTU045trq5j1hbByYwc1v2cSefbBpB9WlAjsugxJzIKyc+vR/0ap6DwmN17vgigv8vPXHV389XzDsVMdG8ISSGvVqUS7Vs28/j4QnmBn7bv5lzBeVPtyLWcxWJxOqXVJw4dOsShQ4dMXXPt2rWMHTvW1DXB+iBTq25tv/5RLs4ffW0PumWHdnYPAu1u7cjV17exq+3Ot1i4vEVzu/12zevXhqYYCWVsxSh93Ro1arB8xQq633IrO3bsoGWLFgDEx8fz3Q/LqVKpMhUjIwCoWjGao5Yst/dplDEPxkl7jiF/RVHMEFBPO7a5uo5ZoeDFy3bRvGVPunS9naioKFav/I4aNWro7584cYLOXW/HYrGwZtUy6l+Sa+iZe1Pu5e8wtqtEN18979KeWxGSQn5ZnRosmvSc1+dJKfXxmmWJtN/+4MSpbNPWuyAlg0d/SNbpM6at6Q9s96A1cdZE0bE8a+Gns7lvxENF6tsdh6bYCmX2qUxO7fuT5gl1CAuz/l7VqlmDefPm0eKiiIM1enFprVoUygv6axXCrP/reZNEZiTcrnIDvG2HWxYwQ4Q8ERNPGtGYISj39x/KkePniIqKYseOnXTuejurVy6nRs1anDh+jM5db2fHjp3ExzcnIiICKjaD/F+KrONJuZet/Z7Y7qsX7G13N09nvtt+LW2EpJD7SlkUcYB2V11h+prLP3qFa/s9w7ol39Oxx23FWstMcfG0T7rtcbalao44Jp21u7Wj/t7K+Us4vecwPTt3IyLaGtM8dvwEffrYlxb16dPHziMPCxMUXLBGh76Zkcy8SVOx5OW53Crw5TPyth1uWaCk9lJ9aUTjjiKCJSIJj6zJZQ1h9crvdNHu3LU78+Z9QZ8+9+kibuupn8oqZNrMJXbC50m5lzP7nQlpSXnBnlyntO+hlykhV5hH6+aNqFalEqmfzii2kAciI9q2YYxRqZqGY9KZFloHq7h/+9dcKoRXBKxhzO5db2Pnzp3Ex8fre+Q7duygW9dbSU5Opn7DBkRER3LgxBGWfL6AsxZrXbnA9UOmp1n2tmiT2WwfPgIxuUxhxezab8r9++9do0YNVq9cTueu3dmxYwctWrQErNs6q1cuo0aNOP3Y9WnHigifs/a0tuLnzH5nQlpSXnBp97Y9wT+tkxRlgj7dO7Dx192czixe2L5r7x56gpm3aONLtS5pRms5HgP2DWMc96Ftj3O0cfDLI/X1035YxzfzvmTHnl1WEb/FKuJNmjRh8TdLuPzyy0lJSaFZs2bs2rWLpKQksk7ncPx0JmOGPsX0cZMRCAa9MJz/DOzt02ekCfzK+UuKnKNNZkv7YZ3+mnavZTGs7i808TuZkePyOE0Ybfeg35m8iN1/HLb76mydQf262JeICesDZOEFyZncfOIuqcm8eV/YnZM8bx41ataye63rzW2clpppojx9zipD+wf1s86Dt7WxiF1ujjfC08/QCMfPtSyiPHKFz4x/4n4+mr+MlA+n838vjfB5neIktBk1bPGkZlwrRxMIvQbe0+Eo2v66JqrHKpwlxpKPxWKhabNmzE9Oplq1alA+jNp16/Ddiu9JuLUbeXl55FssTJs9jW2pPwNQMTLco3t3tvdt5HVr+NP7Lut77bZ4G0LWQtFaE5Y1qb+xdHk636/ayorV2w3noYNBeFieA8BiOUvOaQvHjv9Dnz732Z2T1KdPEY+8UlSY09C4uwYuRvfqqjmNu8/G8bNwdpzCNUrIFT5TKSqSdldezpqFS4sl5MXBUayMBMZZUxctkQ2sTWU0MTQSPqN17cQ1QrB8xQ9UDA8ntnIVfS88IjqSWtGRfL1kMSdP/MP3P63l0PEjgDWbXnug8EYYbR84ALt56Lb4s8yrrO+12+JtaFcTN8eBKf/8k82K1ds9v3ChNXIUGRnOocNHufPOu9mzZw/x8fEkz5tH0sVtnc5du9lnsxfaR5wcxdZVAxd39+q4lqfHu2pIo3CPR0IuhEgE5gBNpJT7L742GbgDuFFKedx/JiqCmceSbueBV/7LwT//9qjfur8xEhhngqYJtiUvz6Uo2c76tuTlFcmEBzien01uZARNYqoTEV60mLdi9cp8uySF5p3bcUeLRkXW8EYYjR5MnHndh/buY9rrE70epOKOYNprD3SNsLeJVEZNWJ4eXoeTGTlcckmMSzGznYa2eOkvDBvZjOzTgnvuufeiiDe3euA1a7F65TI6d+1mk83+HTWqlyvS6c1RbF2Jr7t7dTzXm+M9/bcL9L93MCKkLJqpW+Qga7r3L8AWKeUQIcRTwDNAeynlH362sQht4xvLtDlvl/RlFQacP19I5Q73c+WN1/La7A9K/PpaEtp9Ix7Sveq0H9YV+eoovJoH3O7Wjqz7erne/c3RG7YV8bZdOnBFi3h9FKuj4Gpr9rj/XuKiYvh7204ua9mcsxWxa/5ihK1HDhh+70sIe8zA4brt3gxSCSQDr0sg4+hxZM5XHh2vtRl9+/UBpT4sq91rQrfWLF2ezrSPn+OW7gO5uUt3IiMji9SRHz12nC5du3P27NmLdeQHDevIjfBGMEtSXB3/vcuSsIsqvTZLKYt0Q/PII5dSSiHEC8C3Qoi9wItAFynlH0KIesBsoAZQAIyRUnr2f6Ai5Clfvhx9b7+JGYtXczY/n/CICK/XKM5+qzOv2ijL3FZ4NQ/4h+SvObR3X5EZ6bbHbVqVSt3GDRn88kgqV43R54kbHWsb8p4+brKh4BvhrPGLto5mv7eflTZAxdtBKqFEsGQtl4Sg2A47ubnDVfTs3oy4GqdYs2oZERERdiIOULlyDMnJ8ykXJqlf4xQnTxz22EZv9v5LsuFKz4RrWZP6mz6j3dcchdIk/B7vkUspvxdC/AKMBXpIKbWuAueBEVLKrUKIGsBmIcQyKWWeH+xVBCGvPNSbGYtXk7rkB7omeh9qLc5+q+3AENsSMtv6b9subhq2Xdq0/ubgemxp2g/r6PXwAKc2ehPyNrqWJ+t4+1nVbdzQ0BMvTclq/q4RdvzDH8i6adt7HdSv8kU7oP4ldazNXhyIjAynYvl8asYcgULpsY1GY0FdCWBJPkwtXvoLS5enc3OHq3h6eB2fcxSg9CTWeSzkQoguQEtAAPqeuJTyKHD04vcnhBCZQBxwwFxTFcFKg0svoW7N6iye8LFPQm7GfqvjPrhRlrmjeNl2adOGothOILMdW2ob6tZGqJ6znKViZLgekrd9qPBlRKrteUaT27JPZWLJy+O+EQ/5XKrnOMPcdn2FMbZ/+Af168IDD7+vj/UMRN20kV1PD78L8n/hVFYh69OO0fXmNlSKCqNcYSbN6v27J+6pjUZjQV0JoK8PU8UZwepuH74sTUrzNNmtJfAV8ATwH2A80M3guLZABeCgiTYqQoDnB93NY2/+j2MHD1OrXh2vzi2pIRruStW0MLorD107TpuQBtaBLLZi+87jL7It9Wfy8yz0HTXUqT2ODzC2TWqMztOuq20DeOtV296/q7I1hT22JVkffLqUpcvTSejW2rBu2pMhKoApoV0jQZo2c4nLfAFPBdd2bdsEO8frFRdfvGNP76EsTUpzK+RCiAbAUmCClPIzIUQasF0IcbOUco3NcdWBWcBg6UkGnaJUMfiuWxjx7nRS/vsZT7z9cqDNMcSd5280gcxIXLVhKqdPZXPor31F2rZqNeI7Nm11Oafd8UHCVatYI/u99aptz9ceWozK1qB0hd6Li+1MbdsyKW9E2NVEr+LY5W15mCO7/zjMqBemM2HcIJpe8e8DuO3aWnJZce01wp/ecWn0vJ3hUsiFENWAZcA3UsrXAKSUvwkhUrB65TdcPC4cWAiMl1L+6F+TFcFIhQrlufbKK9jw9Xc8/tZLpve1N0NY3A0UMYoMGImrNkL1q09m8e2s+aT9sM6uSczxQ0dIXfI921LT9Gt8MyMZgbCbruaIUatYV73jvd2SsD3f3bkq9G6PL2VSzs7X6JlwrV07VDOw7abmybqjXpiubxPYzhx3Z7uvCWOO53lrrzeURs/bGS6FXEp5Cmhu8HqS9v3F0rQZwCop5WyzDVSEDm8O60fHwS+RtmId193aydS1zRYWT9dz1YfdWaOZE4eOkpOZTd3GDXXvVwvFa1PUjPC0K52r4z3F3bnBVCceDBRXFGx7mWui5a+kK2/WnTBukN1XI8wcAOPJlDUzKI2Z6a4wo7NbeyAJa7j9rouv9ZdS/mrC2ooQon2rZlSPrcxXb0wwXcjNFhZP94hdCZ4zDz9p2GCO7T/E8Pde1TPfLXl5CITX9ptx375EM0oqb6Gs4Zg4Z/vVEV/FyJuQctMr6jj1xM26hrvznK1VHK/fWUJiaaXYQ1OklKlSyjApZSub/8qsiJ/MzOHdWV9zMtP75v+lgX4JHdn592HOZJl7/2YP+7AdKKINVTm0d1+RoSmOA1eMBrCA/fCSHWlbObR3HzvStuq23z/qYfqOGuq1/Wbct6vBKmbj7PMxm+IM2Qjk2rYDRtwN+9BE/4GH3ze05WRGDqPHzWP0uHl27/s6RMSb+/blGs6E2dlarga4uGL6nFVOExJLK6rXusnMWLKaZydbdxieGnBngK0pecY8nMTkud+ycOoc+j/9qM/r+DvZyjHxy1nzGMfQtrNQt6PnnJ9nwZKXVyTZzYz7MlrD1bolGSYvqb11f9YCm7l2cbLVB/Xrog9U+eDTpURHR9idq5WIAYZ90b2xzZMBJ8XF2/XN8PrLQlgdlJCbzsAene2+ljUqR0fRutll/DBzHvc/+TBhYb4FfTwVBF+F0Sjxy6h5jKMI2n51lYgWERXJ9HGT9f11b+u3nbVsdTalzV976d5ixkNDxlH3oxtCJdu5ONnqcdWrMPOTYfp0MMdztbI4X211NeDkZEYOH3y6FIDHhyaYIojefq6+5iWUpSQ3DSXkJhNXtUqZ9MRtGf9Ef7o99hpH/tpPXR8HqXgqCL56gM5E2N1gEWetVB2vbeTxG92XswcR23Py8yx2JXCuOr+5yngvCcx6aLi0lmt7/fnH2mhtM/ervRFd2yQ5zSO3tcVo3KmvtjmWnBXH2zfC03+z4iSqlbUkNw0l5CZyMjOHGUtWM7BHZ+Kqlp1fIkc6XNOM8IoVmDZ2ks+DOjwRhOJ0OtOEMj/PovdONwqBW/Ly9IxzV2Ltyn5Xx3kSqv9mRjLwbwmc0WfjbcZ7oHH3kBEdFR4Aq5zjSVjYSEQcxctTQTQq0zK7rtuVsHri7ftLNIsT4g/F9qtmfI5KyE2krO+Pa0SEV+TeW27g86XrkFLqNeXF8RBddVhzNvDEFY7DVn7duJkRE0YXGSt634iHGPTCcLdi7QpXXrwnoXpnJXDuPs9gLiELhocMb/6AehIWNkNENJtyc/N1j7i4TV98Ia56Fbfevr9Eszj3F4pNYMz4HE0X8ovNYT4CbgGqAX8CL0gpv3Ny/EjgWSAS+BJ4REp51my7SgKj/XF/eenB7v2//kgfPl+6jkVT53D3Q/0B3/54u/KMPRUqV81fsk9l8uf2nWxalcrK+UsM1zYzLO1osyehemdlbu4+z2AuIXP3b1dYeMH0ZimOePMH1JOwsBkiotlk20HOF1tKAl/v13GmurMsdl8Ils/GG8z4vfFoHrlXCwoRDTyNtUnMASAB+AK4Wkq5z+HYbljbunYBjmDtDrdRSvmcq2sE2zxyR1HVfu7RsS1PTZzJ0tR03hre31Qv/d1ZX/Ps5Nmmr2smDW4fSmRERSakfgP45pE7zhv3RVi1NZyNFLWdTW40u7yk8OTzsb0X2yQ6szPjA0mP+m2oXq0yGadO+3XGeDDup/rLpmC6V8eZ6s7+jYPJ5mChWPPIvUFKmQuMtnnpGyHE30AbYJ/D4Q8A06SUvwMIIV4HPgdcCnmw4RhS135eu/l3lqamk9ChtelZ7KGQHT+qfw9GvTeDI/sOUrthPY89RFshcuUZeypY7rw/zS5XyWueUFwB9eTzsc2wd3atYAhbF5cqlSN5duTdfg8fB5v35q1NnoqdUfTB3bmu3i+OyGr/ptpMdWf/xmrOuOf4fY9cCFETaAL8bvD2lcDXNj9vA2oKIapLKTP8bZtZOIqq9rVHx7Z0anOlX8LfoZAd/1jv23lq4kzmvP0hz3z0psfnOQqRMzHyVLA8fYAo7p6yvwXU07B6MO+Ne0q5cmFBJ7LBiKdiZxS+/eDTpYx5cz65ufmG++GOXehc1Zx7I6K2DytPD3c+KdHbkHMoJrqZhV+FXAhRAauHPVNKucvgkEpAts3P2veVATshF0I8BDwEUL9WnPnGFgNbUXUMszdtWKfI60BQ72+bRfny5bj9xtasXbXeLunNHZ4KkdmCVdw9ZW/tKc4YUk8y5rUua6EaYi8N+GN8qe2anoqdL9EH27Vd1ZyDf0TUW5tDMdHNLPwm5EKIMGA2cA543MlhZwDb32jt+9OOB0oppwBTwLpHbp6l3uEuycw2rD599OP6MR/O/47XpqSQa8knOjKCZyfPJjcvn+ioiFIt6M8OvItvUzezNfVnrrnpeo/O8VSIgi2Zy910NUfczR93xHGboWvvHnw7Yz4SyR0Dk0pliD3Y8DZ8a9b4UlfDVnwVzseHJui16e5wVXNu9L4r/BUCD8atkpLCL0J+cSLaNKAmkCClLHBy6O9AS2D+xZ9bAsdLKqzuS+a3uxKzgT0663vj2tofJn/Hms0Xdxak9ZjcvHx+3L6bFT9v19c6mZnDh/O/AwmPJd2u2xTsGequuLFVM6pWqcT0NyZzzTLPhFwjlIXIE9vdzR93xPHBZeX8JXwxaQoAkVFRpTLEHmyY0WbUndgZCZ03w1a0NT74dCl5eWeJigo37M7mTvi8eWDwRkRDJQQeSnvu/vLIP8Y6/vQWKaXFxXGzgBlCiM+Bo8BLWLPdSwRnouxKOG33wZ0Jb9v4xrRt3lgX8dempgBwy3Ut7I5b8fN2bmnXwi7c/toU67Gapz5jyWpyLfn668G+L+6IEIIn+tzOa1NSOJ2VTeXYGI/Oyz6VSX6ehT4jhhjWWHuKu/Ncve/sPU9scSWi2vmd7uzudESqp9fIz7MgkcWqc1d4jtYoJTc3n5MZOV7tB4NniWZGQufYP9ydANr2YQffurMVJ1Tt6v5CJQQeKg8c4J868gbAUOAscMxmX3QosB7YAcRLKQ9IKZcJId4GVvNvHfmrZtvkDGeZ3668bm0//GRmDoNGf8DSVOuoPE14tdcSOrS2nmCzLXxji6Z6edqP23dbX2vVFLCWk/Xo2JZcS77utWt2vDIkkbeG9w/qDHVXPJ6UwGtTUlgyPZm+Ix9ye3z2qUwmjRrNplWperMXXzPK3XnGrjq8OXvPcc1De/cx7fWJDH55pN7i1ZWIeuKtu7LLVuQ9CckrzCOuehWioyN45uVZxWpd6kokjB4WfNkvzs3N1z1yX0SzOBn0ru4vVELgofLAAf4pP9uPnXwVoZLD8ROACWbb4QnOMr8dBd7IQ5+xZDVLU9O55boW3NiiqS68S1PTubxeLZampvPh/O94rPftAORZztqtteLn7SR0aM1jvW+3e3B4dWiSoR2hFlK3pXpsZVo2acjyaZ9z34ghbpPeVs5fwqZVqbTt0sHp0BJPcXeeY4c3KNpwxvE9xzWnvT5Rn5pm25LWmVftyb24siuUtxxKA2b8gXe1hjcPC65Gg/rSh7044WRvw//BTqg8cIBq0WqIo8AbeehGIqu9duJUNu/NXkyu5SwzlqymT7cODHtrGivSrPvhjyXdbneutmeea8nnZGaOXVMZb0Q8mPfS3xrej+6PjWXn5u3Et23p8lij2nFfw8TuzrNNrHMMczt7z3HNpGGDObb/EEnDBtut7UxwPbkXZ9c+tHcf6et+otfQAbS7taNhMmCoN4QpabwVLzP+wLtbw3ESmTdh+OJQnPW8Df87I5T2poMF32ZMljEG9uhsF9o26uT27qyv9WMF0LF1PL/8/ifPTp7NsLf/FfG5y9aTkX1afyDQzouOiuC1KSnMWLIa+PfhQfvZCO26JzNzPD4nUNxyXUsqRUWw4KPpbo/VRMyfIqRlxGefyjS8pu37Wob4yvlL9ONt2ZG2lUN797Ejbavd611793Dap91THO2a9vpEtqWmceCPv0j7YR3Tx01m5fwldudoDxCOryuM0cRr+pxVfln/ZEYO70xexMmMHMOfjV7ThNC2ZtvIvkH9ujht5eoLPROuJaFba3omXOv1ubY2Fwd//3uURpRHboCjUDt66FoC24lT2Qhg0Zo0/jx4rEgmOlgT3Fo1aciKn7cTFVGRPw8eo9eTb7P2f68z5tNkPkpZzv4jJ/SQeo+ObRnzSTJ5Z8/yVP+enDiVzZhPk3ms9+1FvGzHSEEwd3sTQtD9xmv4alUqhefPU678v796gfAgPd071953VSrmLFTuj2SzwS+P1L9WrhpjeF2Vre4d/g4Da8KUm5tPdHSE4UAUd3vmzuwzO/y7eOkvLF2ezs0drnLZrMWflIawfEmjhNwAV8lutolq2/bs00W7ekxl1mz+nXXpO+yOv7FFU/p078A36zeza99hqsdUZte+w7w9cxHJ3/8IwPcbt+lCPm95qp7lntCh9b/JdJERRWxxFO5g7/Y29tH7WLDiJ76ZkcydD96vvx6IPV9P9861r65KxUoyO7xu44Z2+/ChNiwlGHEmhmaFeDVBys3NdzoQxUyx1krPAMOyM09sNbKjpELeobQ3HSwoIXfgZGYOuZZ8XhmSqJeY2XrnWqLaLe1a0KppQ2pUrcKiNWlkZJ9mXfoOwiuU52zBeZpc3oinH/0//nPzDfwvZSl5F8pxWe0aVI+tTEb2aX75/U8ysk9zSdUqzHztCbsM9VeGJJJ39ix5lrN0bB1Puysvp0fHtrw762u7/e9gF25HrmhQm8vr1WL5pzPthNxfHqQrT9/TvXMNZ6NEFaUXR0/aVwHThOlkRo7TddyJlzcialt65m1mvSs7QqkcS6Os7LcrIXdAC5u/MiSRuKpV9Clj8G/4OteSz4/bdvPurMVUj6lMXv45ypcrx/nCQhpdfgWjR4+mS+ebqRIdSdbpXAY/3ozBj48iNTWV0aNHA3BV43pUiorgxcH3sPynreRarKF0BP9mss+yXvc/N7VhybpNpWLW+UO9buOZybM4cfgoNepcCpjrQXoz5tMbStLLVclqwYGjJw3FE7DieJreiKhWeqZ97wtGAhiKIe9QfPjwBSXkDuSdPat/dfTOweoFI63NXC6vV4s/Dx4D4HxhIffe04tRTz5FpUqVOFdwnsycXAovXKBcWBhhYWE0a9aMadOmsfCLWWz5+UdWpG3nl9//5J+LyWpaKH3Tjr28O/IBu5pyDSPPPJQY1b8Hz0yexZx3PmLUpNdNX9/TfuTOMBJRb4W1uELs+ACSfSqTb2YkIxD8Z2BvJe4lhJEnbTaeeozeiKivpWe2GAlgKIa8Q/HhwxeUkDsQFR6uf9U6rb01vL9dSZgm9ufOnadujWocOnGK/vf04IXRo+n2nzuIjIhgfkoKcXHW4S4VypfjyLHjJCYmkp+fz1dfLuCbFWupUL4c/2TmcHm9WvTtfhN9uncAYGlqOm3jGxMdGWGXGQ8X99BLoMubv0rZtKS31d/8wBNvvUyF8Ipene9OJB1L17z1oo28eG89++JGAhwfQFbOX8K8SVMBiIiKVJGBEsYTAfM1hOupx+iNiJoRTi4tAhiKDx++oITcgceSbte7tGl0aNWMHsPHUat6LJ99vYr6teK4rHYN/j5yQj9myKOPc15CREQEu/fsITExkYULF1K7dm2OHj3KPffcw549e2jatCkxVaowevRokpKSuKRqFRZPel6fkvbuyAcA+CczRx+y8ljv2/WOcSXV5c1dT3lvsX0weGfkAK5OHMmOTVtp2b6dV+u4E0l/TDDz1rMv7p6/4z107d0DS14eAlGie/Sq8Yzn+BrC9bRvuqfCfDIjhwcefp+ly9OL2OKP/WLHNX25RlnZx/YnSsgd0Bq0zFiy2toyNS+fB175L38ePEb1GGtTugPHTnJZ7RpUrRJNZk4u9evXp3GzqwBYsGAB9957L3suivncuXPp27cve/bsoUmTJixYsIC6tS8lJjaWK5s1oWntqgx7expjHk4idesuci35esc4AKRNF7l2LUBYw+v+bvxidimb7YPBqH49qFo5munjJjPp28+9WsffpVVGDwLePByYEZo3sun+UQ/ra3k7mtTX66syNs/xVZA97Zvu6UPC9DmrWLo8nYRurYvY4u06nhzreJwvDzRlZR/bn5RJIfd0FOkPG7fp5WWX16vFTa2bs+vvwxw7mcXfR04w6M4uzP9+A+3aWb1KIQRxcXEsXLiQxMREduzYQatWrQCIj49nwYIFxMTEkH0mj8ILF2h+VQsWLFgAwE/bd5NrOat73D06tmXeslRduAF9eMqmHXtZmprODxu3cWOLpnaDWMzC7Ix42weDsLAwHundnXHTvsSSm0dkdJTH6wR7aZUZoXlbHEXYl7V8vX6wf9bBhNmCbIu7hwRn88mLM6zE02Mdj9O+9ky4lncmL/LIyy4tYfxAUiaF3JNRpAD/nMq2lppd14IbWzbltSkp3HJdC+655XqiwsP58aL4Vq9eHQAh4MIFSZ06dZg7d64u4gBz587l0ksvJd/y7zC46tWrU6dGNfLyz5KZk0uzhnV0UT6ZmcOmnVbB1mrItX3yXMtZzhWcZ8XP21nx83aio4rWmAcbjg8Go/r1YPxnXzF3wicMfnlUAC0zl+KG5t0Jty9esvKs/Yc3YWFfBcuscaPe7Bd7eqzjcdrP70xe5PFDS1nZx/YnZVLI3YWNbSecAWzds49uN7TSPeEVP2/nkcRunCs4T50a1cjIsI5PFwhAcuzoUfr27Wu3Zt++fUlJSaF2rZpIJPlnC5Dnz3L4xCme7N+TnX8f4sXB9zBjyWo6tGrG4DEfsWvfYRI6tLbLmI+OtLZyfWVIIje2bFokqz1UqFqlEs0a1iE1ZXHAhNwfyVzFDc27E25fvOTietYq6c0eoylfa1J/Y+Ynw1yKub/6jwejRxuMNpVmypSQ24bUnXmwtscAeke2ihXKM33049z/wiRWpG1n/vc/kpF9msvr1aJV3RiiIyOQUnL02DHu7tWL3bv3EB8fzxdffMF9993Hjh076NWrF98s/pqoSpUB+O77lTRrWIfBd3WlekxlPaGteoy1aUz1mMq8O/IBu7B5aZmIBjD+ifu5a9Rb7Ny0jeZuBqn4A19Dzv4UNjOE22xKMunt2xnWiozq1Sr79TrFwXHK15rU31i6PJ3pc1aZJtSOP4faWNBgtKk0U6aE3Cik7ijctjPGcy357Np3mMvr1dK95TGPJHHoRIbebvXPg8c4cuQwP/64gTr1GtC7d29277Ymtn311ZdcWutSUlJSuPvuu9m9ezc97ryThV9+yfbffiecAnbtO8a85am6t9+sYR127TsMQEb2aeYtT7UbbRpq3dxccUfHtkRHhrP4tbdpvti7pDcz8DXkrAnbrxs3M2LC6BL3UkvaQy7J0PzGH6wDf9YtG+u3axQ3S9pxH3rmJ8P09Xy9prukMV89XJURXjYoU0JuFFK3FXew1nBr4ewPk78DoG/3m0jduotnJ8/mlnYt2LXvMB1bx5OXf5aM7NPM/W4dq3/dz/Tpn2GxWGjSpAkpKSlUrlyFPIuF2NhYFn71Jffcey9n888SXj6M03vTWTzpeZas28TufYdZmprOtfGN6dT2Sv5zUxt++f1Pa9/2oq29Sw1CCAbccTOfLPie05nZ+hAQX/BF3GxHhXqTCd61dw9+3biZTatSWTl/ialeqifeb0mXhQUiKlChgv/+NBU3S9rZvrAn13QWgneWNKZ99dXDLcmMcPXQEDjKlJAbebNG4q6FrY1qynf9fQiAgoLzbNqxF4Cs03kU7PuLN94YR0rKfCIiIvVmMBEVKxAWJoiOrM2Sr7/Gkm+hfMafHNj3Fzt37iQ6MpzVv/wGwO9/HeSXHXt55aFE2l11ORXLl9ebxJRW3hzWj49TlrNuyXL+M6C3z+sUR9y8PTemWlVGTBitPziYiSfer0peKx6B2L81CsE7Cp+nDwe25wEuxbMk71WVkQWOMiXkRjiKu+33jjXlAHsPHQesHsOT/Xvyy+9/ArAufQd//JrOwIGDGPfGWOLi4qhYoTxhYQIprWH69K3bGD16NJdVj9TD9wCD7uzMie+zybWcJaFDa3ItZ3lv9mIAlqzbpDeLccST7mv+6tBmFpWiImlUpyYLPpxRLCEvjrj5cq6/vFRP1g2GffNQJhD7t0YheF+Fz/Y8wOUa3nSlu+mG5rz+TgoTxg2i6RXejzA1emhQXnrJUOaF3B1a6H3616vYte8wTw3oScUK5WnVpCFPP3AXAO/MWkTF8uUZ2e8Onpwwk7t73cMDvRLo2rkjG377m5oxkUz/4ksOHjzILde14MXB93Cu4DxNGtQmKqIiab/9Sa7lLJfVqUF8o7r6tW+5roXLjHRPuq+Z3aHNH7z04L3835gPObR3H3UbN/RpjeKIW2kXRpV1Hhw4iqq33rImij0Tri1y3qB+XYrdJrZZkzrs2mPNz/k25SWPz9cwemhQXnrJoITcCZon26NjW9Zu/l1PROvc9ioWrU5jxc/biYoIJzoqgndnWb1nLQmuWcM6PHt/N+YtS+XTqSk81b8nvW++hm17qvL+M4NZsm4TK37ezq3XWzO1tRnmfx8+wbuzFtu1YXX0om09bE+6r5ndoc0f9L39Jh4Z9ymfvTGZVz6bGGhzSh2q1ap3lEQrU/A+MuBMFLXvvandtkV7ILD1yM0imMrQSnN0QAm5E2w92emjH9ez2Z+cMFOfeIbAbqzpip+3c0nVKuzad5hhb02jVbOGPNm/J1GR4eRazrLi5+0Me2sa7z87GPhXXHMt+eRZziKB6MhwHuvtvFObo4ftzssOhSz3ChXK06ntlaxZ+yOF589Trrz6tTQTbcug3a0d7ZL6lKdujD+8SDPWdCeKvnr4g/p10W3yxRN3RTCVoZXm6ID6i+kEx3rt6aMf15u1vPpJMq2aNKRZwzrE3zOc225oSaumDQHreNNmDeuwIm07K9K266NJtd7pK9K2s2TdJn3vfWCPznblZd7YVZqY8OQgrrp3BOsWf0/nXgklfv3SLGra1sFXn8yy88yVp25Mcb1If8zy9sSb9HZCmrPhKqWVYIoOmI0SchscE8Nsxda229ut17dkYI/OXJU4gozs03yxLBWAJ/v3BAlNGl5K52uv4ve9B2lw6SU8NcD6eqsmDYmKCNfX9WXvOhQ8bF9oflld6taoztfvfhgQIQ+0qJXEg4RjUp/KfjemuF6ko+dnRkjXbG/S1XCV0kowRQfMRgm5DY7iaiS2tq/NGPM49784iYjwcHp1aUd0ZLjuiV9erxZ/HjzGuvQdulf+1ICebNq5l4zs0/ree4+Obe3245es26R/DdZMc38xsl8Pnpwww+tBKmYQaFFz9iBhpsA7JvWV9iS/QOHo+ZVEWL0466lxo6GPEnIbHMPWtmJrdExc1Src2LIZS1PT2XfkH159KAkk/Lh9tz41zTZL/cuVG/n7sHWGeac2V7I0NZ228Y31rm5aUp32FYI309wf9P9PR56aOJNZb33A0NeeKdFrB1rUnD1IBDpSoPCe4mane7KmtziKsC/rleY95lBHCbkNjmHrJes2sTQ1nU5trtRruW2POZmZQ3yjupw7d17vif5Y0u0ANKl/Kb/tPUirJg1Z/tNWXditM8zP0KFVM94a3p/cvHw9I/7FwffQqc2V9OjYlk5trix1++DuqB5bheuuvoI1yV/z0JinEUIE2qQSw9mDRKAjBYriEwwhXTPC/aV5jznUCQu0AcHCycwc3p31tT7xDKxetzYb3PE9gA+Tv+PdWYu5sWVTXeg/TP6O16amsGf/Udal7+Dd2YtBwisPJXJLuxZk5uTy0/Y9vPpJMk8NuJPHkm4noUNrdu07TOrWXQzs0blMhtU13h7WnzOWfLZtSAu0KUGBJvClLQFPUbIM6teFt18fUCTcP33OKo/X0B5IzAyrn8zI4Z3JiziZkeP+YIVTlEd+EaP9cM37fnfW1zw7eTZrN//O9NGP/yuwmsNo6zhe/L5Vs4bc2Mo6ZtR2xnjiM++yLn0HLZs01K+hZcQXJwmutND+muaEVyjP/P9+RqsO1wXaHIWiVOCPcL8ZqHC9OSghv4irsq6BPTrr+9YzlqzWBfax3reTl3+WH7fuZve+wzRtWIfHeltD60iK1IPHVa1CyttP2U1b017X1iyt5WXeMKDHzfxv4UrOZJ+mUkzwjrNUKEKVYAj3Q/A8UIQ6KrR+EU1MjcLZmtesdVvTwvAAO/46xIq07Tw1caZ+LBJem5qiT08D7M5xdh13dpQV3hrWHykli6bOdn+wwme0qW/ZpzIDbYpXBGs4tqTs0q6z+4/DRa4XrJ+NM/wRri+LKCF3wGivHOwF9sPk73h28mw+TP6OFwffoyeqaeSdPWv3Ff4N3c9YsrpkbiSEiakczVWN67P6q6WBNqVUo2XEr5y/JNCmeIWz/d1Ai5gv+87Fuc6oF6YXuZ723gMPvx8yYq4oPiq07oBHe9QX98Hz8s/yxrQv9US161s0BSAqPNzuK6iQubc8cd/tDB37Kcf2H6JWg7ruT1AA3tWdh2pGvLNwrL/3W91lepdUmFhbv2fCtdzc4aoiw1Mcx6UqSj9KyB3wRHAf63070ZER/JOZrbdf1TLbB/bobDjH3NeObJb8s+w/etL7GzGRI/9ksGbTjhK95vnCQsqFCSaMfIW3v/qsRK8dynhTdx7o2nlfcba/a4aQuhJrdw8KJbXvbHudp4fXKfKe47hU1cil9COklIG2wWuiIiLlJVXj/H6dC/ICxzNOcMHJZ3ThwgWklHq9s/Z9WJh5OxbaNQKJEIKqVWIJEyW7E3Mq+xQXpOTVGZNp26VDiV47VAn1nvEv3/8oW9f/zIXsLwPSR0CbIPb26wOKiHKoCqKrewpVQvXforiIKr02SynbOr5uukcuhHgcGAhcDXwhpRzo5LiBwDTAYvPyHVLKNe6uUaVSZW69sWRC1O2uas2ll9QyfC/nTA4rNq7llus7AejfV6lUpcj72mveEhUZyXVXtylTzVE0TmVn0uC2FowZOJw5W1YQUz30hKmkCVUvO1hw5dWXZKa3J0LlqZiVxsxwVbZmjz9C60eAsUA3INLNsT9JKb12tWpfcimTnxvvi22mc1fX/xh+DzBp9sfM+Houl9e/jBH9HwHgZNYp5ixJpl+PJOJiq5WoraFGtZiqrJi6kK4P3sWANt1Y+NdGU6MdCoUjwVKW5YlQeSpmZtxTsHnApfHhpDiYLuRSyq8AhBBtgTKZpaSJdULH28i15JFryeNk1iniYqsxZ0kyL/33DQBd3BXOua5FW155+Gle++Qdnut8F2+vXRxokxQKv+OJUJWkmAWbBxwsD1zBQqCT3a4RQpwETgGzgfFSyvMBtskrjDxsTaxzLXmk79zG8g3W8pDoyCgSOt4GQL8eSU7PV9jzzP8NZ+HKb/j1j53895nXeeLtlwNtkkLhVzwRqpIUM+UBBzeBFPJ1wFXAfuBKIBk4DxjGzIUQDwEPAdSrVcfokBLnZNYpho4ZoQu15mFrIp1ryWP5hlV0a2/95TfyxJWH7hkbZi/n0s7N+X7eIrr27kF821aBNklRigi20HGwoTzg4CZgG45Syr+klH9LKS9IKX8FXgPudXH8FCllWyll27jY6iVnqA0ns04xafbHnMw6BVhFWBNqTbwB4mKrMaL/IwztPYixT7zI+BGvAvD8gyPtjgOr6I994sUirzu7ZlklLCyM3Uusg1Se7TWYnMyswBqkKFWUVDMXhcIfBFPmkMR+/Ihf8UUgNe/50/nTmTT7YxI63sbYJ17k01cnGYbFNUFfuu57xv9vor6G7TW1Y5yF1bVrzlmS7OUdlj5iq8SwYspCAP6vXQIXLlwIsEUKs/n1x00Bua7jdDCFIpQwXciFEOWFEBFAOaCcECJCCFEkhC+EuF0IUfPi982Al4GvzbbHGb4IpOY9gzVMvnTd93o4fNLsj9mzfy8vvj+WHo/34edfN+sPCgkdb6Nb+y5kZJ3ipf++QdfBd7Jn/16vrunMYy9rXN/qWkYNeIyzZ88y7o6+gTZHYTKFhYVERlQs8XJL1fNbEcr4Y4/8JeBVm5/7AWOEEJ8BO4B4KeUBoCswQwhRCTgOzAHG+cEeQzRh9EYgNe9Z86i1bHTtoWB9+k/6fvnh40fZs38v69N/onXzlizfsIqGtesDsPfg3zw/aQxfTpzFnv17eX7SGMaPeJUmDRqbfJelk9cef555y77i59/+YO7EKfQd+VCgTVKYSPnywRQo9A9qT15hJqb/HyOlHC2lFA7/jZZSHpBSVroo4kgpn5JS1pRSRkspG0kpX5FSFphtjzPchbRtQ++OYfi42Grk5VsY/7+JTJz1Ef16JPH8gyNpcGk9WjdvSYPa9Xlz5Gi6te/C8g2ryMg6RbUqsew7cgCw1kc/83/DAXh+0hiWb1jF85PGGF5bhdaN2b0kjfLly/PFxE/J/CewLWwVCm9Re/IKMwl0+VnQ4FgG9un86Yz/30RyLXlER0YVySzfvuc3/WtcbDWiI6P0fXCAT1OmM37Eq7Ru3pL5yxdxKicLgIa167HvyEEWr/6On7am6YL+zP8N540p7+nna2sldLyNlT+v45/MDL0WXWFtG7txzg+07dOZgW278+XejZQvX3Z+nUO9FWtZR5VzKcyk7Pzlc4Nt7Xd0ZBQZF73vvHwLQ3sPAuzD8O89/YYeEger4C5LXUluvoXM7EyWb1jFTa1vAKyh9IaX1uO2Dl3Y8edu9h05yPY9v7M6bT3d2ndh/IhXdc8coHO7m/QM9zlLklmdtp7Vaeu5pGp1/TVVdw7NGl3Bhy+9w2Njn2ZAq9uY+1vZ8W68GY6iCD7iqldhUL8uKryuMAUl5Bexrf1+6b9v0LndTQBERUTqYXiNk1mnSFm+iNbNW1Itpions07x/KQxpG7ZqB/TuN5lJHS8jZlffwFA3Vp1qB5TjdQtG2lc7zKuqN+IgoIClm9YxZ8H/mbvwb/1a65OW0/X6zoSF1uNfj2SyLXkkZdvIdeSp0cKQNWdAzzQ8z6Wpa5iyZrvmDjqFUZOeC3QJpUIoTqCVPEvwdYtraxRmvIUQnL6WevmLeX6WUv9srZte9Wl67439Hwnzf5YD7V3bncT5woK2LBlo7VRjYSDxw8D0P6a6wDBhosC37heQ+Jiq/Pzr5utP9dtyN5D+wB0zzxl+SIAErvdZXd97ZrPPziS6Mgo5ZHbIKWk3i1XkXU6m2c/fosO/7kl0CYpfKRH/TZUrhRBzpG5gTbF75QmIQlFQnEqnLPpZ0rIPcR2Dx3g0/nTWbf5J12kbWlc7zL2Hvxb/9marS7Zd+SgLt4Na9dn35EDtL/mejq2uYGhvQfp4X3bErexT7yoZ8qrkLpz8s/mU6NTEy5cuMBnPy/lkktrBtqkgBKqe+hlScid4U7g1QOAOYTi51hiY0xLK46tVF986EmY8h4btmyk/TXXY8m3kL5zG9dd3YZxI17h5U/epHaDOlSvXp2MjAyuqtOEFetWUXC+gK7Xd2LH3t3sO3KAjm1u4MWHnuRk1ilyLXkM7/cwuZY8ErvdBfwb8ncM7yvsiQiPYGvKOlrc04Gh7e9k/u71lK9QIdBmBQy1hx66uAu5q5C8OZSmtrNKyF1g6wUb1Z0P7T2IvHwLm3/fyj+nrCVQzeObU+uay0hZtACAcmFhRIRHEB0VTaf1XXl02OOs3LiWvYf20eGa69m4fRN79u/Vu79pJWvRkVFF9uWVR+6aRvUa8tQDj/PuzA8Y0b4HH6QtC7RJAUPtoYcu7jLaVca7wpHS33mhGNjWcJ/KzmR9+k+cys60O+abtctI3bKRg8cP0zfpPoY/MwoqltPnZhdeuEDB+fPkWfKoU68u06ZNo1/f/kRFRJJz5jSr09aTOGogB44eov0119Ogdj3DnuyqntwzRj/2HDe0vJb9x/5h0pOjA21OwIipVpVeDw8IqbC6woq7LnOqC53CESXkFzHqvW7bHtWxccue/Xu5bcjd7D24D4Dr2rbj8eFPcOfdd3F3r7s5ceIEYPXIzxWcY9+B/fS4syf33Xcf3e9OoMFlDTl4/BBNGjRm78G/mbJgJhu2bGRKykyiI6OIi63Gnv17uWfkAPbs32vYqlWzec/+vWqwig0/TF1IZHgEK1OW8ON3ZackTaFQlE1UaP0iRuNEbfelx494lXMFBTS7rAkns04xbNyz7Nm/l3o163B5g0Y8/OTjVIquREREBHv27CExMZGFCxdSr149jhw+QmJiInv27KFJkyZERUXx+uuvc2bXCbbs2s65ggL2HTlAh2uup82VrfgnM4M3prynJ9P9eeBvUibM0G3Vwuy5ljzG/2+iXWtYtY9uZe93W6jTJZ7xQ59m2o9LqFG3tinrhmoSmUKhKL0oIb+I7R74yaxTfDp/OmDdB4+LrUa1mKpUrFCByXM+Ydffezh3/hwAl9aoSfebb6X7bd0oX648CxYs4N5779XFfO7cufTt21cX8ZSUFOLi4mhYvwEfp01m8pxPAGsZ2/SxH9o9UHS45nrg397syzes0nu3j//fRJ5/cCRjn3iRhI63cVPrG9RgFRuqVKrMd5+k0P3he3ns5kRS/txgyroqiUyhUAQbSsgvYut9T5r9sV271ejIKP7JzGD5hlVUi6nK8g2r6HDN9bS/5jrOnz/PL39t52Gg8EIh1atX5+uvv+aee+5hx44dtGrVCoD4+HgWfrWQmJgYwsLCiAyPoN5lDfRrtGhypV0DGIBbbriZVz4YjwC9levyDatodlkTurXvQmK3u/RBK02UJ16EDq2vZ0DPPsxaPI+Xb72X139YUOw1VRKZQqEINpSQG6D1N2/R5ErAWs/duF5DAE5lZ9KkQWNSt2wkLrYaJ7NO0erGthQWFhIWFkaYENSqVYu5c+fqIg4wd+5c6tatQ1Z2NoUXCrGczadDuxv1enKNuNhq1tI2rA8UWp36259NZvyIV7mp9Q3kWvL0FrBKwF3z0UvvkrZ9M1t3/8FHL4zn0XHPF2s9LYlMoVAoggUl5AYsXfe93ia1X48k0ndu08eQ1qlZm9cef55HXhvFnv17iQyPICMjg3MF5yi8cAGAY0eP0rev/azsvn37smDBAmJiYgC4cOEC01Nm24m4NjRFC+dr3vnG7Zt04daaw2jd3RTu2TR/NTU6XsF3cxaQMOBeGja7ItAmKRQKhWkoITfAdr88LrYaz/zfcDb/vpV9Rw6w78gBkr/7ipuv7cDZggKuu7o1Z3MsXLjYIe/kyZN6Ylt8fLy+R75jxw7uuusufY/8fGEh0z6fAUDr+JbMvljiBrBu849UrFCR954eqw9sadHkSn3+uWoO4z2/LtxA49tb88Rtffjyj5+oGF4x0CYpFAqFKajyMwMcZ5W//dlkTmadIjIiEoD533/NlAUz2X/kAPOXL+K3nTtYv369nYhriW0NGjQgJSWFJk2a6AlweWdy2ffHXzSIq8ND9z7AvsMHOJWdSWyVWBrXbciGLT+zOm09z08aw5wlyYz/30R2/b2H8f+bqOrIfaRm9RrMe3saAA+2V/vbCoWi9KA8cgMcu6hppWf1atZmw9Y0vY961SqxJN52JwCjR49m2rRp5Ofn6yJerWo18vLyiI2NJSUlhcTERM7m55OXl8eABweyc+dOJNZ993Jh5YioGK53fKtQoYI+InV9+k8883/Di2SmG2XXK5xzx83duOX6TqzYuJbRA4Yxetb7gTZJoVAoik2Z9ciNGsBoOHZRa9KgMV2v68isJcn07nYXw/s9TLWYqmTmZLHml1SSbu+FJTuX8ePHk5yczIIFC4iLi6N8+X+fk+Li4liwYAFfzJvH+5PeZ+fOnQCcP19A47oNKbxQyLGTx2nSoDFz3prCkg++oEmDxixd9z3LN6zip61pdlECzc7x/5uoPHUvWPT+51x6SU02r9nAl5/MDLQ5CoVCUWzKrEdu1ABGw6ivuvZ9QsfbeH7SGE5lZ+rd1x55bZS+f/7nn3/y9ltvU69OXQAKC8tReKGQcuXKUaNSNX5csopyuYX6uhLoekMn9qbso2qVWD5+ZQJgzVh31uPd1iatVE0lvnnOnm82EXNDA2aMe5/rb+tMnUb1A22SQqFQ+EyZFXJnAvnzr5t55LVRfPzKBDvvV9s3nzT7Y5ZvWEXndjdxRf1GfP/javbs38t1V7fhWMYJdu7cSY+ePeh0QwcuqVOL6tWrU04KHuk5kMtq1OWKWpfxzs+TaB3fkvQd20j7dTM3tLyWJg0as2f/Xn7amsaKn9Yw/n8TybXk8eJDTzpNbLMtVVN4jhCCH6Z8RdcH7+Kxrvey4I8f7aInCoVCEUqU2b9ezjK/tbKyR14bRXrK2iLva8KvtUe1Zf+Rg7Ru3pKYypV5Imkog195gsycLAAq5MHIAY/Sa3h/ss/kUDOuBh2uuR6JNdt9z/69NGnQmISOtzHz6y8AyMu3mHnLChuua9GWsU+8yEv/fYOB7W5nTvoPgTZJoQgqQnFed1mlzO6RO+PjVybQpEFjPcTtiPYAMLT3IJ5/cCTD+z3M8w+OpHx56+zrmMpVWPLBPHbs3aWLOMD2Pb8xZ0ky2WdyAMjPzyd1y0Y2bPmZqIhIurXvoo8zjbqYHa99VfiHEf0f4YaW15J98hTvjXg50OYoFEGFNvd8+hw1eCjYKbMeuTOuu7qNoSfuiGNYO3H/Xp5850WuqN+IN6a8xy033Ezjepex9+DfREZE8kTfoTSsU58vVyxh3+EDTHxmHLv3/aF73VrXNs3jVw1fSobvp3xF7S7NWfPVUq6+vg239bkr0CYpFEGBv+aeK0/ffJSQm4R1qEpFpiywZkKn79zG3oN/621cn5s4mntu7cmWndsB2L3vD4b2HsTQMSP0yWXRkVGA87C/wnyEEOxe8gt1usbz32dep31CV6KrVA60WWWSHWlbAYiKDA+sIQrg37nnZqN5+oBf1ndHaXyQKLWhdVflZa7et33d6Bhn581ZknwxCa4Dw/s9TLPLmvD8gyNJfm+6nsi2fvNPNKhdr8g53dpbn3htS97c2a8wjyqVKvPDlIUADGzdjQsXW+0qSpZtG9IAWLFkdGANUfiVQf268PbrA0z39D2lNG4ZlFqPXCsvy7Xk6WFqxxpso/KzT+dP1zPGoyOjihxjdN7JrFPkWvJ4/sGRDO09SD9m7BMvct3Vbfh+6kI7z7tJg8YkdruLajHWedZG4XRX5XEK87m+ZVteGDKKcVMnMLRTL6auXxRok8os4eEVAm2Cwo/4y9P3FH9tGQSSUivkttnlRoLoqj7b2TG2gm17ntaYZewTLxIXW42EjrexPv0nEjrepneJGz/iVVo3b8m6zT+xYctGUpYvKlJa5q19CnN5YcgoVqWtY+O2Tcx++0P6P/NYoE1SKBQmE+gHCX9QaoVc22d2NinM2T700N6DnCaaOQo2GIt7yvJFLN+witbNWwIw/n8Tmb7wc1ImWvfPtdGkntivKFl+mLKQ6h0aMf+Dz7im4/VcdX2bQJukUCgULim1e+QajgNQvDnesVVrvx5JPP/gSH0KGfwr7tGRUS6vsffQPp6fNIahvQcx9okX9almiuBCCMGB738F4PneD5GdkRlgixQKhcI1pV7Ii0O/HkmMfeJFEjrexqTZHwPWfWzb3ubaMbYevK1Y33LDzTSsXZ92V7dm/IhX7R4UVEJbcFIpuhLrZn4LwCPt7wiwNYrSxMmMHN6ZvIiTGTmBNkVRiii1oXUzsG3Lqu2zO+5dG4XA42Kr0a9HEnOWJLPy53XsO3KAppddTpMGje2OUwltwUvr5i1JvO1OUr7/mpF39GfiN7MDbZKiFBDo0itF6UQJuQfYirft3rs22MQopK6J9PB+D1PRZiSps3UVwcf0sR/y07Zf+HP7DlYuWELXe9Ucc0XxKI0Z04rAo4TcA4y8bnfetKP4Gwm/SmgLftLnr6FW52ZMGjWaq65vQ826tQNtkiKEKY0Z04rAo/bIfcRob9wWxyQ7x8Q5RWgQFRnFpnnW+v8h7XtyvqAgwBYpFAqFPUrIfcSbbHhn9eeK0KBJw8v55OX3kFLy+PUJgTZHoVAo7DBdyIUQjwshNgkhzgohZrg5dqQQ4pgQIlsI8ZkQolQ2Wfa0RE0RvPTrkcRNbW7g8D+neH3wqECbo1AoFDr+8MiPAGOBz1wdJIToBjwHdAUaAo2AMX6wJ+C4C8MrQoOlH82nemw10n5Yy0/LSk+fZoVCEdqYLuRSyq+klIuADDeHPgBMk1L+LqXMBF4HBpptTzDgbVMaRXAihGDPN78AMO6hpzlx+GiALVIoFIrA7pFfCWyz+XkbUFMIUT1A9igUbgmvGE7aFysAeOimuyg4dy7AFikUirJOIIW8EpBt87P2veEwaCHEQxf33jedzHLn7CsU/iO+cTPeHPkKhefP81yXXoE2R6FQlHECKeRnANup7tr3p40OllJOkVK2lVK2jYtVTrsisDx+30M0bXg5ew4c5cPnxwXaHIVCUYYJpJD/DrS0+bklcFxKGbLutuqdXrbYPH8NURGRLPv8S9Z/80OgzVEoFGUUf5SflRdCRADlgHJCiAghhFEHuVnAYCFEvBCiKvASMMNse0oS1fSl7HFwxW8IBG8/+hxn888G2hyFQlEG8YdH/hJgwVpa1u/i9y8JIeoLIc4IIeoDSCmXAW8Dq4H9F/8r2pA8hFBlZmWP8IrhpEyYDkD/q7sgpQywRQqFoqzhj/Kz0VJK4fDfaCnlASllJSnlAZtjJ0gpa0opq0gpB0kpQ9qlUWVmZZPuHW7hoXsfwHI2n2dvvivQ5igUijKGatGqUJjAhGfeIL5RU3b+fYjFn30RaHMUCkUZQgm5QmESP33+PRXKl2fq6Hf5a8fuQJujUCjKCErIFQqTKFeuHHu+2QTAqIR+KvlNoVCUCErIFQoTuaRaHG+OeJXCCxcY3O4OlfymUCj8jhJyhcJkHu87hDs6dSM76xRjHhgWaHMUCkUpRwm5QuEH5r0zjdjKMWxe8yPfzfky0OaEBIumfA5A5UqRAbZEoQgtRCiG/oQQ/2CtO/cXccBJP66vcI767AOH+uwDh/rsA0coffYNpJSXOL4YkkLub4QQm6SUbQNtR1lEffaBQ332gUN99oGjNHz2KrSuUCgUCkUIo4RcoVAoFIoQRgm5MVMCbUAZRn32gUN99oFDffaBI+Q/e7VHrlAoFApFCKM8coVCoVAoQhgl5AqFQqFQhDBKyBUKhUKhCGGUkLtACDFHCHFUCJEjhNgjhHgw0DaVBYQQ4UKIaUKI/UKI00KILUKI2wNtV1lBCPG4EGKTEOKsEGJGoO0pzQghqgkhFgohci/+vvcNtE1lhdL0e14+0AYEOeOBwVLKs0KIZsAaIcQWKeXmQBtWyikPHAQ6AQeABGC+EOJqKeW+QBpWRjgCjAW6Aapfqn/5EDgH1ARaAd8KIbZJKX8PqFVlg1Lze648chdIKX+XUmqzKOXF/xoH0KQygZQyV0o5Wkq5T0p5QUr5DfA30CbQtpUFpJRfSSkXARmBtqU0I4SIBu4BXpZSnpFSpgKLgf6BtaxsUJp+z5WQu0EI8ZEQIg/YBRwFlgbYpDKHEKIm0ARQXoqiNNEEKJRS7rF5bRtwZYDsUYQoSsjdIKV8FKgM3AR8BZx1fYbCTIQQFYDPgZlSyl2BtkehMJFKQLbDa9lY/94oFB5TZoVcCLFGCCGd/Jdqe6yUsvBi2Ksu8EhgLC49ePrZCyHCgNlY9xAfD5jBpQhvfu8VfucMUMXhtSrA6QDYoghhymyym5TyZh9OK4/aIy82nnz2QggBTMOaBJQgpSzwt11lAR9/7xX+YQ9QXghxhZTyj4uvtURtISm8pMx65O4QQtQQQvQRQlQSQpQTQnQD7gNWBdq2MsLHQHOgh5TSEmhjyhJCiPJCiAigHFBOCBEhhCizD/3+QkqZi3W77jUhRLQQoj1wJ9YolMLPlKbfcyXkzpFYw+iHgEzgXWCElPLrgFpVBhBCNACGYi3HOSaEOHPxv/sDa1mZ4SXAAjwH9Lv4/UsBtaj08ijW0qcTwBfAI6r0rMQoNb/namiKQqFQKBQhjPLIFQqFQqEIYZSQKxQKhUIRwighVygUCoUihFFCrlAoFApFCKOEXKFQKBSKEEYJuUKhUCgUIYwScoVCoVAoQhgl5AqFoghCiEQhxNmLzXm01yYLIfZenEanUCiCBNUQRqFQFOFir/tfgC1SyiFCiKeAZ4D2Nn3BFQpFEBCSfWUVCoV/kVJKIcQLwLdCiL3Ai0AXTcSFEIuxjvZdKaW8N4CmKhRlHuWRKxQKpwghfgTaYR1e853N652xztN+QAm5QhFY1B65QqEwRAjRBetYTQEct31PSrkaNTdboQgKlJArFIoiCCFaYh2x+QSwCBgfUIMUCoVT1B65QqGw42Km+lJggpTyMyFEGrBdCHGzlHJNYK1TKBSOKI9coVDoCCGqAcuAb6SUrwFIKX8DUlBeuUIRlCiPXKFQ6EgpTwHNDV5PCoA5CoXCA1TWukKh8BohxAqsiXDRwCkgUUr5U2CtUijKJkrIFQqFQqEIYdQeuUKhUCgUIYwScoVCoVAoQhgl5AqFQqFQhDBKyBUKhUKhCGGUkCsUCoVCEcIoIVcoFAqFIoRRQq5QKBQKRQijhFyhUCgUihBGCblCoVAoFCHM/wO9vrR+V67yigAAAABJRU5ErkJggg==\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(8, 4))\n", "plot_decision_boundaries(kmeans_rnd_10_inits, X)\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Centroid initialization methods" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Instead of initializing the centroids entirely randomly, it is preferable to initialize them using the following algorithm, proposed in a [2006 paper](https://goo.gl/eNUPw6) by David Arthur and Sergei Vassilvitskii:\n", "* Take one centroid $c_1$, chosen uniformly at random from the dataset.\n", "* Take a new center $c_i$, choosing an instance $\\mathbf{x}_i$ with probability: $D(\\mathbf{x}_i)^2$ / $\\sum\\limits_{j=1}^{m}{D(\\mathbf{x}_j)}^2$ where $D(\\mathbf{x}_i)$ is the distance between the instance $\\mathbf{x}_i$ and the closest centroid that was already chosen. This probability distribution ensures that instances that are further away from already chosen centroids are much more likely be selected as centroids.\n", "* Repeat the previous step until all $k$ centroids have been chosen." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The rest of the K-Means++ algorithm is just regular K-Means. With this initialization, the K-Means algorithm is much less likely to converge to a suboptimal solution, so it is possible to reduce `n_init` considerably. Most of the time, this largely compensates for the additional complexity of the initialization process." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "To set the initialization to K-Means++, simply set `init=\"k-means++\"` (this is actually the default):" ] }, { "cell_type": "code", "execution_count": 39, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "KMeans()" ] }, "execution_count": 39, "metadata": {}, "output_type": "execute_result" } ], "source": [ "KMeans()" ] }, { "cell_type": "code", "execution_count": 40, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "211.62337889822362" ] }, "execution_count": 40, "metadata": {}, "output_type": "execute_result" } ], "source": [ "good_init = np.array([[-3, 3], [-3, 2], [-3, 1], [-1, 2], [0, 2]])\n", "kmeans = KMeans(n_clusters=5, init=good_init, n_init=1, random_state=42)\n", "kmeans.fit(X)\n", "kmeans.inertia_" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Accelerated K-Means" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The K-Means algorithm can be significantly accelerated by avoiding many unnecessary distance calculations: this is achieved by exploiting the triangle inequality (given three points A, B and C, the distance AC is always such that AC ≤ AB + BC) and by keeping track of lower and upper bounds for distances between instances and centroids (see this [2003 paper](https://www.aaai.org/Papers/ICML/2003/ICML03-022.pdf) by Charles Elkan for more details)." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "To use Elkan's variant of K-Means, just set `algorithm=\"elkan\"`. Note that it does not support sparse data, so by default, Scikit-Learn uses `\"elkan\"` for dense data, and `\"full\"` (the regular K-Means algorithm) for sparse data." ] }, { "cell_type": "code", "execution_count": 41, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "90.4 ms ± 612 µs per loop (mean ± std. dev. of 7 runs, 50 loops each)\n" ] } ], "source": [ "%timeit -n 50 KMeans(algorithm=\"elkan\", random_state=42).fit(X)" ] }, { "cell_type": "code", "execution_count": 42, "metadata": { "scrolled": true }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "91.6 ms ± 171 µs per loop (mean ± std. dev. of 7 runs, 50 loops each)\n" ] } ], "source": [ "%timeit -n 50 KMeans(algorithm=\"full\", random_state=42).fit(X)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "There's no big difference in this case, as the dataset is fairly small." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Mini-Batch K-Means" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Scikit-Learn also implements a variant of the K-Means algorithm that supports mini-batches (see [this paper](http://www.eecs.tufts.edu/~dsculley/papers/fastkmeans.pdf)):" ] }, { "cell_type": "code", "execution_count": 43, "metadata": {}, "outputs": [], "source": [ "from sklearn.cluster import MiniBatchKMeans" ] }, { "cell_type": "code", "execution_count": 44, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "MiniBatchKMeans(n_clusters=5, random_state=42)" ] }, "execution_count": 44, "metadata": {}, "output_type": "execute_result" } ], "source": [ "minibatch_kmeans = MiniBatchKMeans(n_clusters=5, random_state=42)\n", "minibatch_kmeans.fit(X)" ] }, { "cell_type": "code", "execution_count": 45, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "211.93186531476786" ] }, "execution_count": 45, "metadata": {}, "output_type": "execute_result" } ], "source": [ "minibatch_kmeans.inertia_" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "If the dataset does not fit in memory, the simplest option is to use the `memmap` class, just like we did for incremental PCA in the previous chapter. First let's load MNIST:" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**Warning:** since Scikit-Learn 0.24, `fetch_openml()` returns a Pandas `DataFrame` by default. To avoid this and keep the same code as in the book, we use `as_frame=False`." ] }, { "cell_type": "code", "execution_count": 46, "metadata": {}, "outputs": [], "source": [ "import urllib.request\n", "from sklearn.datasets import fetch_openml\n", "\n", "mnist = fetch_openml('mnist_784', version=1, as_frame=False)\n", "mnist.target = mnist.target.astype(np.int64)" ] }, { "cell_type": "code", "execution_count": 47, "metadata": {}, "outputs": [], "source": [ "from sklearn.model_selection import train_test_split\n", "\n", "X_train, X_test, y_train, y_test = train_test_split(\n", " mnist[\"data\"], mnist[\"target\"], random_state=42)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Next, let's write it to a `memmap`:" ] }, { "cell_type": "code", "execution_count": 48, "metadata": {}, "outputs": [], "source": [ "filename = \"my_mnist.data\"\n", "X_mm = np.memmap(filename, dtype='float32', mode='write', shape=X_train.shape)\n", "X_mm[:] = X_train" ] }, { "cell_type": "code", "execution_count": 49, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "MiniBatchKMeans(batch_size=10, n_clusters=10, random_state=42)" ] }, "execution_count": 49, "metadata": {}, "output_type": "execute_result" } ], "source": [ "minibatch_kmeans = MiniBatchKMeans(n_clusters=10, batch_size=10, random_state=42)\n", "minibatch_kmeans.fit(X_mm)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "If your data is so large that you cannot use `memmap`, things get more complicated. Let's start by writing a function to load the next batch (in real life, you would load the data from disk):" ] }, { "cell_type": "code", "execution_count": 50, "metadata": {}, "outputs": [], "source": [ "def load_next_batch(batch_size):\n", " return X[np.random.choice(len(X), batch_size, replace=False)]" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now we can train the model by feeding it one batch at a time. We also need to implement multiple initializations and keep the model with the lowest inertia:" ] }, { "cell_type": "code", "execution_count": 51, "metadata": {}, "outputs": [], "source": [ "np.random.seed(42)" ] }, { "cell_type": "code", "execution_count": 52, "metadata": {}, "outputs": [], "source": [ "k = 5\n", "n_init = 10\n", "n_iterations = 100\n", "batch_size = 100\n", "init_size = 500 # more data for K-Means++ initialization\n", "evaluate_on_last_n_iters = 10\n", "\n", "best_kmeans = None\n", "\n", "for init in range(n_init):\n", " minibatch_kmeans = MiniBatchKMeans(n_clusters=k, init_size=init_size)\n", " X_init = load_next_batch(init_size)\n", " minibatch_kmeans.partial_fit(X_init)\n", "\n", " minibatch_kmeans.sum_inertia_ = 0\n", " for iteration in range(n_iterations):\n", " X_batch = load_next_batch(batch_size)\n", " minibatch_kmeans.partial_fit(X_batch)\n", " if iteration >= n_iterations - evaluate_on_last_n_iters:\n", " minibatch_kmeans.sum_inertia_ += minibatch_kmeans.inertia_\n", "\n", " if (best_kmeans is None or\n", " minibatch_kmeans.sum_inertia_ < best_kmeans.sum_inertia_):\n", " best_kmeans = minibatch_kmeans" ] }, { "cell_type": "code", "execution_count": 53, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "-211.70999744411446" ] }, "execution_count": 53, "metadata": {}, "output_type": "execute_result" } ], "source": [ "best_kmeans.score(X)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Mini-batch K-Means is much faster than regular K-Means:" ] }, { "cell_type": "code", "execution_count": 54, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "45.7 ms ± 245 µs per loop (mean ± std. dev. of 7 runs, 10 loops each)\n" ] } ], "source": [ "%timeit KMeans(n_clusters=5, random_state=42).fit(X)" ] }, { "cell_type": "code", "execution_count": 55, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "10.2 ms ± 107 µs per loop (mean ± std. dev. of 7 runs, 100 loops each)\n" ] } ], "source": [ "%timeit MiniBatchKMeans(n_clusters=5, random_state=42).fit(X)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "That's *much* faster! However, its performance is often lower (higher inertia), and it keeps degrading as _k_ increases. Let's plot the inertia ratio and the training time ratio between Mini-batch K-Means and regular K-Means:" ] }, { "cell_type": "code", "execution_count": 56, "metadata": {}, "outputs": [], "source": [ "from timeit import timeit" ] }, { "cell_type": "code", "execution_count": 57, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "100/100" ] } ], "source": [ "times = np.empty((100, 2))\n", "inertias = np.empty((100, 2))\n", "for k in range(1, 101):\n", " kmeans_ = KMeans(n_clusters=k, random_state=42)\n", " minibatch_kmeans = MiniBatchKMeans(n_clusters=k, random_state=42)\n", " print(\"\\r{}/{}\".format(k, 100), end=\"\")\n", " times[k-1, 0] = timeit(\"kmeans_.fit(X)\", number=10, globals=globals())\n", " times[k-1, 1] = timeit(\"minibatch_kmeans.fit(X)\", number=10, globals=globals())\n", " inertias[k-1, 0] = kmeans_.inertia_\n", " inertias[k-1, 1] = minibatch_kmeans.inertia_" ] }, { "cell_type": "code", "execution_count": 58, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Saving figure minibatch_kmeans_vs_kmeans\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(10,4))\n", "\n", "plt.subplot(121)\n", "plt.plot(range(1, 101), inertias[:, 0], \"r--\", label=\"K-Means\")\n", "plt.plot(range(1, 101), inertias[:, 1], \"b.-\", label=\"Mini-batch K-Means\")\n", "plt.xlabel(\"$k$\", fontsize=16)\n", "plt.title(\"Inertia\", fontsize=14)\n", "plt.legend(fontsize=14)\n", "plt.axis([1, 100, 0, 100])\n", "\n", "plt.subplot(122)\n", "plt.plot(range(1, 101), times[:, 0], \"r--\", label=\"K-Means\")\n", "plt.plot(range(1, 101), times[:, 1], \"b.-\", label=\"Mini-batch K-Means\")\n", "plt.xlabel(\"$k$\", fontsize=16)\n", "plt.title(\"Training time (seconds)\", fontsize=14)\n", "plt.axis([1, 100, 0, 6])\n", "\n", "save_fig(\"minibatch_kmeans_vs_kmeans\")\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Finding the optimal number of clusters" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "What if the number of clusters was set to a lower or greater value than 5?" ] }, { "cell_type": "code", "execution_count": 59, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Saving figure bad_n_clusters_plot\n" ] }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "kmeans_k3 = KMeans(n_clusters=3, random_state=42)\n", "kmeans_k8 = KMeans(n_clusters=8, random_state=42)\n", "\n", "plot_clusterer_comparison(kmeans_k3, kmeans_k8, X, \"$k=3$\", \"$k=8$\")\n", "save_fig(\"bad_n_clusters_plot\")\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Ouch, these two models don't look great. What about their inertias?" ] }, { "cell_type": "code", "execution_count": 60, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "653.2223267580945" ] }, "execution_count": 60, "metadata": {}, "output_type": "execute_result" } ], "source": [ "kmeans_k3.inertia_" ] }, { "cell_type": "code", "execution_count": 61, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "118.44108623570081" ] }, "execution_count": 61, "metadata": {}, "output_type": "execute_result" } ], "source": [ "kmeans_k8.inertia_" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "No, we cannot simply take the value of $k$ that minimizes the inertia, since it keeps getting lower as we increase $k$. Indeed, the more clusters there are, the closer each instance will be to its closest centroid, and therefore the lower the inertia will be. However, we can plot the inertia as a function of $k$ and analyze the resulting curve:" ] }, { "cell_type": "code", "execution_count": 62, "metadata": {}, "outputs": [], "source": [ "kmeans_per_k = [KMeans(n_clusters=k, random_state=42).fit(X)\n", " for k in range(1, 10)]\n", "inertias = [model.inertia_ for model in kmeans_per_k]" ] }, { "cell_type": "code", "execution_count": 63, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Saving figure inertia_vs_k_plot\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(8, 3.5))\n", "plt.plot(range(1, 10), inertias, \"bo-\")\n", "plt.xlabel(\"$k$\", fontsize=14)\n", "plt.ylabel(\"Inertia\", fontsize=14)\n", "plt.annotate('Elbow',\n", " xy=(4, inertias[3]),\n", " xytext=(0.55, 0.55),\n", " textcoords='figure fraction',\n", " fontsize=16,\n", " arrowprops=dict(facecolor='black', shrink=0.1)\n", " )\n", "plt.axis([1, 8.5, 0, 1300])\n", "save_fig(\"inertia_vs_k_plot\")\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "As you can see, there is an elbow at $k=4$, which means that less clusters than that would be bad, and more clusters would not help much and might cut clusters in half. So $k=4$ is a pretty good choice. Of course in this example it is not perfect since it means that the two blobs in the lower left will be considered as just a single cluster, but it's a pretty good clustering nonetheless." ] }, { "cell_type": "code", "execution_count": 64, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plot_decision_boundaries(kmeans_per_k[4-1], X)\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Another approach is to look at the _silhouette score_, which is the mean _silhouette coefficient_ over all the instances. An instance's silhouette coefficient is equal to $(b - a)/\\max(a, b)$ where $a$ is the mean distance to the other instances in the same cluster (it is the _mean intra-cluster distance_), and $b$ is the _mean nearest-cluster distance_, that is the mean distance to the instances of the next closest cluster (defined as the one that minimizes $b$, excluding the instance's own cluster). The silhouette coefficient can vary between -1 and +1: a coefficient close to +1 means that the instance is well inside its own cluster and far from other clusters, while a coefficient close to 0 means that it is close to a cluster boundary, and finally a coefficient close to -1 means that the instance may have been assigned to the wrong cluster." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's plot the silhouette score as a function of $k$:" ] }, { "cell_type": "code", "execution_count": 65, "metadata": {}, "outputs": [], "source": [ "from sklearn.metrics import silhouette_score" ] }, { "cell_type": "code", "execution_count": 66, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "0.655517642572828" ] }, "execution_count": 66, "metadata": {}, "output_type": "execute_result" } ], "source": [ "silhouette_score(X, kmeans.labels_)" ] }, { "cell_type": "code", "execution_count": 67, "metadata": {}, "outputs": [], "source": [ "silhouette_scores = [silhouette_score(X, model.labels_)\n", " for model in kmeans_per_k[1:]]" ] }, { "cell_type": "code", "execution_count": 68, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Saving figure silhouette_score_vs_k_plot\n" ] }, { "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, 3))\n", "plt.plot(range(2, 10), silhouette_scores, \"bo-\")\n", "plt.xlabel(\"$k$\", fontsize=14)\n", "plt.ylabel(\"Silhouette score\", fontsize=14)\n", "plt.axis([1.8, 8.5, 0.55, 0.7])\n", "save_fig(\"silhouette_score_vs_k_plot\")\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "As you can see, this visualization is much richer than the previous one: in particular, although it confirms that $k=4$ is a very good choice, but it also underlines the fact that $k=5$ is quite good as well." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "An even more informative visualization is given when you plot every instance's silhouette coefficient, sorted by the cluster they are assigned to and by the value of the coefficient. This is called a _silhouette diagram_:" ] }, { "cell_type": "code", "execution_count": 69, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Saving figure silhouette_analysis_plot\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "from sklearn.metrics import silhouette_samples\n", "from matplotlib.ticker import FixedLocator, FixedFormatter\n", "\n", "plt.figure(figsize=(11, 9))\n", "\n", "for k in (3, 4, 5, 6):\n", " plt.subplot(2, 2, k - 2)\n", " \n", " y_pred = kmeans_per_k[k - 1].labels_\n", " silhouette_coefficients = silhouette_samples(X, y_pred)\n", "\n", " padding = len(X) // 30\n", " pos = padding\n", " ticks = []\n", " for i in range(k):\n", " coeffs = silhouette_coefficients[y_pred == i]\n", " coeffs.sort()\n", "\n", " color = mpl.cm.Spectral(i / k)\n", " plt.fill_betweenx(np.arange(pos, pos + len(coeffs)), 0, coeffs,\n", " facecolor=color, edgecolor=color, alpha=0.7)\n", " ticks.append(pos + len(coeffs) // 2)\n", " pos += len(coeffs) + padding\n", "\n", " plt.gca().yaxis.set_major_locator(FixedLocator(ticks))\n", " plt.gca().yaxis.set_major_formatter(FixedFormatter(range(k)))\n", " if k in (3, 5):\n", " plt.ylabel(\"Cluster\")\n", " \n", " if k in (5, 6):\n", " plt.gca().set_xticks([-0.1, 0, 0.2, 0.4, 0.6, 0.8, 1])\n", " plt.xlabel(\"Silhouette Coefficient\")\n", " else:\n", " plt.tick_params(labelbottom=False)\n", "\n", " plt.axvline(x=silhouette_scores[k - 2], color=\"red\", linestyle=\"--\")\n", " plt.title(\"$k={}$\".format(k), fontsize=16)\n", "\n", "save_fig(\"silhouette_analysis_plot\")\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "As you can see, $k=5$ looks like the best option here, as all clusters are roughly the same size, and they all cross the dashed line, which represents the mean silhouette score." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Limits of K-Means" ] }, { "cell_type": "code", "execution_count": 70, "metadata": {}, "outputs": [], "source": [ "X1, y1 = make_blobs(n_samples=1000, centers=((4, -4), (0, 0)), random_state=42)\n", "X1 = X1.dot(np.array([[0.374, 0.95], [0.732, 0.598]]))\n", "X2, y2 = make_blobs(n_samples=250, centers=1, random_state=42)\n", "X2 = X2 + [6, -8]\n", "X = np.r_[X1, X2]\n", "y = np.r_[y1, y2]" ] }, { "cell_type": "code", "execution_count": 71, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plot_clusters(X)" ] }, { "cell_type": "code", "execution_count": 72, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "KMeans(n_clusters=3, random_state=42)" ] }, "execution_count": 72, "metadata": {}, "output_type": "execute_result" } ], "source": [ "kmeans_good = KMeans(n_clusters=3, init=np.array([[-1.5, 2.5], [0.5, 0], [4, 0]]), n_init=1, random_state=42)\n", "kmeans_bad = KMeans(n_clusters=3, random_state=42)\n", "kmeans_good.fit(X)\n", "kmeans_bad.fit(X)" ] }, { "cell_type": "code", "execution_count": 73, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Saving figure bad_kmeans_plot\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(10, 3.2))\n", "\n", "plt.subplot(121)\n", "plot_decision_boundaries(kmeans_good, X)\n", "plt.title(\"Inertia = {:.1f}\".format(kmeans_good.inertia_), fontsize=14)\n", "\n", "plt.subplot(122)\n", "plot_decision_boundaries(kmeans_bad, X, show_ylabels=False)\n", "plt.title(\"Inertia = {:.1f}\".format(kmeans_bad.inertia_), fontsize=14)\n", "\n", "save_fig(\"bad_kmeans_plot\")\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Using Clustering for Image Segmentation" ] }, { "cell_type": "code", "execution_count": 74, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Downloading ladybug.png\n" ] }, { "data": { "text/plain": [ "('./images/unsupervised_learning/ladybug.png',\n", " )" ] }, "execution_count": 74, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# Download the ladybug image\n", "images_path = os.path.join(PROJECT_ROOT_DIR, \"images\", \"unsupervised_learning\")\n", "os.makedirs(images_path, exist_ok=True)\n", "DOWNLOAD_ROOT = \"https://raw.githubusercontent.com/ageron/handson-ml2/master/\"\n", "filename = \"ladybug.png\"\n", "print(\"Downloading\", filename)\n", "url = DOWNLOAD_ROOT + \"images/unsupervised_learning/\" + filename\n", "urllib.request.urlretrieve(url, os.path.join(images_path, filename))" ] }, { "cell_type": "code", "execution_count": 75, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(533, 800, 3)" ] }, "execution_count": 75, "metadata": {}, "output_type": "execute_result" } ], "source": [ "from matplotlib.image import imread\n", "image = imread(os.path.join(images_path, filename))\n", "image.shape" ] }, { "cell_type": "code", "execution_count": 76, "metadata": {}, "outputs": [], "source": [ "X = image.reshape(-1, 3)\n", "kmeans = KMeans(n_clusters=8, random_state=42).fit(X)\n", "segmented_img = kmeans.cluster_centers_[kmeans.labels_]\n", "segmented_img = segmented_img.reshape(image.shape)" ] }, { "cell_type": "code", "execution_count": 77, "metadata": {}, "outputs": [], "source": [ "segmented_imgs = []\n", "n_colors = (10, 8, 6, 4, 2)\n", "for n_clusters in n_colors:\n", " kmeans = KMeans(n_clusters=n_clusters, random_state=42).fit(X)\n", " segmented_img = kmeans.cluster_centers_[kmeans.labels_]\n", " segmented_imgs.append(segmented_img.reshape(image.shape))" ] }, { "cell_type": "code", "execution_count": 78, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Saving figure image_segmentation_diagram\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(10,5))\n", "plt.subplots_adjust(wspace=0.05, hspace=0.1)\n", "\n", "plt.subplot(231)\n", "plt.imshow(image)\n", "plt.title(\"Original image\")\n", "plt.axis('off')\n", "\n", "for idx, n_clusters in enumerate(n_colors):\n", " plt.subplot(232 + idx)\n", " plt.imshow(segmented_imgs[idx])\n", " plt.title(\"{} colors\".format(n_clusters))\n", " plt.axis('off')\n", "\n", "save_fig('image_segmentation_diagram', tight_layout=False)\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Using Clustering for Preprocessing" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's tackle the _digits dataset_ which is a simple MNIST-like dataset containing 1,797 grayscale 8×8 images representing digits 0 to 9." ] }, { "cell_type": "code", "execution_count": 79, "metadata": {}, "outputs": [], "source": [ "from sklearn.datasets import load_digits" ] }, { "cell_type": "code", "execution_count": 80, "metadata": {}, "outputs": [], "source": [ "X_digits, y_digits = load_digits(return_X_y=True)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's split it into a training set and a test set:" ] }, { "cell_type": "code", "execution_count": 81, "metadata": {}, "outputs": [], "source": [ "from sklearn.model_selection import train_test_split" ] }, { "cell_type": "code", "execution_count": 82, "metadata": {}, "outputs": [], "source": [ "X_train, X_test, y_train, y_test = train_test_split(X_digits, y_digits, random_state=42)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now let's fit a Logistic Regression model and evaluate it on the test set:" ] }, { "cell_type": "code", "execution_count": 83, "metadata": {}, "outputs": [], "source": [ "from sklearn.linear_model import LogisticRegression" ] }, { "cell_type": "code", "execution_count": 84, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "LogisticRegression(max_iter=5000, multi_class='ovr', random_state=42)" ] }, "execution_count": 84, "metadata": {}, "output_type": "execute_result" } ], "source": [ "log_reg = LogisticRegression(multi_class=\"ovr\", solver=\"lbfgs\", max_iter=5000, random_state=42)\n", "log_reg.fit(X_train, y_train)" ] }, { "cell_type": "code", "execution_count": 85, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "0.9688888888888889" ] }, "execution_count": 85, "metadata": {}, "output_type": "execute_result" } ], "source": [ "log_reg_score = log_reg.score(X_test, y_test)\n", "log_reg_score" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Okay, that's our baseline: 96.89% accuracy. Let's see if we can do better by using K-Means as a preprocessing step. We will create a pipeline that will first cluster the training set into 50 clusters and replace the images with their distances to the 50 clusters, then apply a logistic regression model:" ] }, { "cell_type": "code", "execution_count": 86, "metadata": {}, "outputs": [], "source": [ "from sklearn.pipeline import Pipeline" ] }, { "cell_type": "code", "execution_count": 87, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Pipeline(steps=[('kmeans', KMeans(n_clusters=50, random_state=42)),\n", " ('log_reg',\n", " LogisticRegression(max_iter=5000, multi_class='ovr',\n", " random_state=42))])" ] }, "execution_count": 87, "metadata": {}, "output_type": "execute_result" } ], "source": [ "pipeline = Pipeline([\n", " (\"kmeans\", KMeans(n_clusters=50, random_state=42)),\n", " (\"log_reg\", LogisticRegression(multi_class=\"ovr\", solver=\"lbfgs\", max_iter=5000, random_state=42)),\n", "])\n", "pipeline.fit(X_train, y_train)" ] }, { "cell_type": "code", "execution_count": 88, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "0.98" ] }, "execution_count": 88, "metadata": {}, "output_type": "execute_result" } ], "source": [ "pipeline_score = pipeline.score(X_test, y_test)\n", "pipeline_score" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "How much did the error rate drop?" ] }, { "cell_type": "code", "execution_count": 89, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "0.3571428571428561" ] }, "execution_count": 89, "metadata": {}, "output_type": "execute_result" } ], "source": [ "1 - (1 - pipeline_score) / (1 - log_reg_score)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "How about that? We reduced the error rate by over 35%! But we chose the number of clusters $k$ completely arbitrarily, we can surely do better. Since K-Means is just a preprocessing step in a classification pipeline, finding a good value for $k$ is much simpler than earlier: there's no need to perform silhouette analysis or minimize the inertia, the best value of $k$ is simply the one that results in the best classification performance." ] }, { "cell_type": "code", "execution_count": 90, "metadata": {}, "outputs": [], "source": [ "from sklearn.model_selection import GridSearchCV" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**Warning**: the following cell may take close to 20 minutes to run, or more depending on your hardware." ] }, { "cell_type": "code", "execution_count": 91, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Fitting 3 folds for each of 98 candidates, totalling 294 fits\n", "[CV] kmeans__n_clusters=2 ............................................\n", "[CV] ............................. kmeans__n_clusters=2, total= 0.2s\n", "[CV] kmeans__n_clusters=2 ............................................\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "[Parallel(n_jobs=1)]: Using backend SequentialBackend with 1 concurrent workers.\n", "[Parallel(n_jobs=1)]: Done 1 out of 1 | elapsed: 0.2s remaining: 0.0s\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "[CV] ............................. kmeans__n_clusters=2, total= 0.1s\n", "[CV] kmeans__n_clusters=2 ............................................\n", "[CV] ............................. kmeans__n_clusters=2, total= 0.1s\n", "[CV] kmeans__n_clusters=3 ............................................\n", "[CV] ............................. kmeans__n_clusters=3, total= 0.2s\n", "[CV] kmeans__n_clusters=3 ............................................\n", "[CV] ............................. kmeans__n_clusters=3, total= 0.2s\n", "[CV] kmeans__n_clusters=3 ............................................\n", "[CV] ............................. kmeans__n_clusters=3, total= 0.2s\n", "[CV] kmeans__n_clusters=4 ............................................\n", "[CV] ............................. kmeans__n_clusters=4, total= 0.2s\n", "[CV] kmeans__n_clusters=4 ............................................\n", "[CV] ............................. kmeans__n_clusters=4, total= 0.2s\n", "[CV] kmeans__n_clusters=4 ............................................\n", "[CV] ............................. kmeans__n_clusters=4, total= 0.2s\n", "[CV] kmeans__n_clusters=5 ............................................\n", "[CV] ............................. kmeans__n_clusters=5, total= 0.2s\n", "[CV] kmeans__n_clusters=5 ............................................\n", "[CV] ............................. kmeans__n_clusters=5, total= 0.2s\n", "[CV] kmeans__n_clusters=5 ............................................\n", "[CV] ............................. kmeans__n_clusters=5, total= 0.2s\n", "[CV] kmeans__n_clusters=6 ............................................\n", "[CV] ............................. kmeans__n_clusters=6, total= 0.3s\n", "[CV] kmeans__n_clusters=6 ............................................\n", "[CV] ............................. kmeans__n_clusters=6, total= 0.3s\n", "[CV] kmeans__n_clusters=6 ............................................\n", "[CV] ............................. kmeans__n_clusters=6, total= 0.3s\n", "[CV] kmeans__n_clusters=7 ............................................\n", "[CV] ............................. kmeans__n_clusters=7, total= 0.3s\n", "<<522 more lines>>\n", "[CV] kmeans__n_clusters=94 ...........................................\n", "[CV] ............................ kmeans__n_clusters=94, total= 4.2s\n", "[CV] kmeans__n_clusters=94 ...........................................\n", "[CV] ............................ kmeans__n_clusters=94, total= 3.6s\n", "[CV] kmeans__n_clusters=95 ...........................................\n", "[CV] ............................ kmeans__n_clusters=95, total= 3.8s\n", "[CV] kmeans__n_clusters=95 ...........................................\n", "[CV] ............................ kmeans__n_clusters=95, total= 4.4s\n", "[CV] kmeans__n_clusters=95 ...........................................\n", "[CV] ............................ kmeans__n_clusters=95, total= 3.7s\n", "[CV] kmeans__n_clusters=96 ...........................................\n", "[CV] ............................ kmeans__n_clusters=96, total= 4.7s\n", "[CV] kmeans__n_clusters=96 ...........................................\n", "[CV] ............................ kmeans__n_clusters=96, total= 4.1s\n", "[CV] kmeans__n_clusters=96 ...........................................\n", "[CV] ............................ kmeans__n_clusters=96, total= 4.0s\n", "[CV] kmeans__n_clusters=97 ...........................................\n", "[CV] ............................ kmeans__n_clusters=97, total= 4.2s\n", "[CV] kmeans__n_clusters=97 ...........................................\n", "[CV] ............................ kmeans__n_clusters=97, total= 4.5s\n", "[CV] kmeans__n_clusters=97 ...........................................\n", "[CV] ............................ kmeans__n_clusters=97, total= 3.9s\n", "[CV] kmeans__n_clusters=98 ...........................................\n", "[CV] ............................ kmeans__n_clusters=98, total= 4.3s\n", "[CV] kmeans__n_clusters=98 ...........................................\n", "[CV] ............................ kmeans__n_clusters=98, total= 4.2s\n", "[CV] kmeans__n_clusters=98 ...........................................\n", "[CV] ............................ kmeans__n_clusters=98, total= 4.0s\n", "[CV] kmeans__n_clusters=99 ...........................................\n", "[CV] ............................ kmeans__n_clusters=99, total= 4.4s\n", "[CV] kmeans__n_clusters=99 ...........................................\n", "[CV] ............................ kmeans__n_clusters=99, total= 4.3s\n", "[CV] kmeans__n_clusters=99 ...........................................\n", "[CV] ............................ kmeans__n_clusters=99, total= 4.5s\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "[Parallel(n_jobs=1)]: Done 294 out of 294 | elapsed: 16.1min finished\n" ] }, { "data": { "text/plain": [ "GridSearchCV(cv=3,\n", " estimator=Pipeline(steps=[('kmeans',\n", " KMeans(n_clusters=50, random_state=42)),\n", " ('log_reg',\n", " LogisticRegression(max_iter=5000,\n", " multi_class='ovr',\n", " random_state=42))]),\n", " param_grid={'kmeans__n_clusters': range(2, 100)}, verbose=2)" ] }, "execution_count": 91, "metadata": {}, "output_type": "execute_result" } ], "source": [ "param_grid = dict(kmeans__n_clusters=range(2, 100))\n", "grid_clf = GridSearchCV(pipeline, param_grid, cv=3, verbose=2)\n", "grid_clf.fit(X_train, y_train)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's see what the best number of clusters is:" ] }, { "cell_type": "code", "execution_count": 92, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "{'kmeans__n_clusters': 57}" ] }, "execution_count": 92, "metadata": {}, "output_type": "execute_result" } ], "source": [ "grid_clf.best_params_" ] }, { "cell_type": "code", "execution_count": 93, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "0.98" ] }, "execution_count": 93, "metadata": {}, "output_type": "execute_result" } ], "source": [ "grid_clf.score(X_test, y_test)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Using Clustering for Semi-Supervised Learning" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Another use case for clustering is in semi-supervised learning, when we have plenty of unlabeled instances and very few labeled instances." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's look at the performance of a logistic regression model when we only have 50 labeled instances:" ] }, { "cell_type": "code", "execution_count": 94, "metadata": {}, "outputs": [], "source": [ "n_labeled = 50" ] }, { "cell_type": "code", "execution_count": 95, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "0.8333333333333334" ] }, "execution_count": 95, "metadata": {}, "output_type": "execute_result" } ], "source": [ "log_reg = LogisticRegression(multi_class=\"ovr\", solver=\"lbfgs\", random_state=42)\n", "log_reg.fit(X_train[:n_labeled], y_train[:n_labeled])\n", "log_reg.score(X_test, y_test)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "It's much less than earlier of course. Let's see how we can do better. First, let's cluster the training set into 50 clusters, then for each cluster let's find the image closest to the centroid. We will call these images the representative images:" ] }, { "cell_type": "code", "execution_count": 96, "metadata": {}, "outputs": [], "source": [ "k = 50" ] }, { "cell_type": "code", "execution_count": 97, "metadata": {}, "outputs": [], "source": [ "kmeans = KMeans(n_clusters=k, random_state=42)\n", "X_digits_dist = kmeans.fit_transform(X_train)\n", "representative_digit_idx = np.argmin(X_digits_dist, axis=0)\n", "X_representative_digits = X_train[representative_digit_idx]" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now let's plot these representative images and label them manually:" ] }, { "cell_type": "code", "execution_count": 98, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Saving figure representative_images_diagram\n" ] }, { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(8, 2))\n", "for index, X_representative_digit in enumerate(X_representative_digits):\n", " plt.subplot(k // 10, 10, index + 1)\n", " plt.imshow(X_representative_digit.reshape(8, 8), cmap=\"binary\", interpolation=\"bilinear\")\n", " plt.axis('off')\n", "\n", "save_fig(\"representative_images_diagram\", tight_layout=False)\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 99, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([0, 1, 3, 2, 7, 6, 4, 6, 9, 5, 1, 2, 9, 5, 2, 7, 8, 1, 8, 6, 3, 1,\n", " 5, 4, 5, 4, 0, 3, 2, 6, 1, 7, 7, 9, 1, 8, 6, 5, 4, 8, 5, 3, 3, 6,\n", " 7, 9, 7, 8, 4, 9])" ] }, "execution_count": 99, "metadata": {}, "output_type": "execute_result" } ], "source": [ "y_train[representative_digit_idx]" ] }, { "cell_type": "code", "execution_count": 100, "metadata": {}, "outputs": [], "source": [ "y_representative_digits = np.array([\n", " 0, 1, 3, 2, 7, 6, 4, 6, 9, 5,\n", " 1, 2, 9, 5, 2, 7, 8, 1, 8, 6,\n", " 3, 2, 5, 4, 5, 4, 0, 3, 2, 6,\n", " 1, 7, 7, 9, 1, 8, 6, 5, 4, 8,\n", " 5, 3, 3, 6, 7, 9, 7, 8, 4, 9])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now we have a dataset with just 50 labeled instances, but instead of being completely random instances, each of them is a representative image of its cluster. Let's see if the performance is any better:" ] }, { "cell_type": "code", "execution_count": 101, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "0.9133333333333333" ] }, "execution_count": 101, "metadata": {}, "output_type": "execute_result" } ], "source": [ "log_reg = LogisticRegression(multi_class=\"ovr\", solver=\"lbfgs\", max_iter=5000, random_state=42)\n", "log_reg.fit(X_representative_digits, y_representative_digits)\n", "log_reg.score(X_test, y_test)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Wow! We jumped from 83.3% accuracy to 91.3%, although we are still only training the model on 50 instances. Since it's often costly and painful to label instances, especially when it has to be done manually by experts, it's a good idea to make them label representative instances rather than just random instances." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "But perhaps we can go one step further: what if we propagated the labels to all the other instances in the same cluster?" ] }, { "cell_type": "code", "execution_count": 102, "metadata": {}, "outputs": [], "source": [ "y_train_propagated = np.empty(len(X_train), dtype=np.int32)\n", "for i in range(k):\n", " y_train_propagated[kmeans.labels_==i] = y_representative_digits[i]" ] }, { "cell_type": "code", "execution_count": 103, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "LogisticRegression(max_iter=5000, multi_class='ovr', random_state=42)" ] }, "execution_count": 103, "metadata": {}, "output_type": "execute_result" } ], "source": [ "log_reg = LogisticRegression(multi_class=\"ovr\", solver=\"lbfgs\", max_iter=5000, random_state=42)\n", "log_reg.fit(X_train, y_train_propagated)" ] }, { "cell_type": "code", "execution_count": 104, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "0.9244444444444444" ] }, "execution_count": 104, "metadata": {}, "output_type": "execute_result" } ], "source": [ "log_reg.score(X_test, y_test)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We got a tiny little accuracy boost. Better than nothing, but we should probably have propagated the labels only to the instances closest to the centroid, because by propagating to the full cluster, we have certainly included some outliers. Let's only propagate the labels to the 75th percentile closest to the centroid:" ] }, { "cell_type": "code", "execution_count": 105, "metadata": {}, "outputs": [], "source": [ "percentile_closest = 75\n", "\n", "X_cluster_dist = X_digits_dist[np.arange(len(X_train)), kmeans.labels_]\n", "for i in range(k):\n", " in_cluster = (kmeans.labels_ == i)\n", " cluster_dist = X_cluster_dist[in_cluster]\n", " cutoff_distance = np.percentile(cluster_dist, percentile_closest)\n", " above_cutoff = (X_cluster_dist > cutoff_distance)\n", " X_cluster_dist[in_cluster & above_cutoff] = -1" ] }, { "cell_type": "code", "execution_count": 106, "metadata": {}, "outputs": [], "source": [ "partially_propagated = (X_cluster_dist != -1)\n", "X_train_partially_propagated = X_train[partially_propagated]\n", "y_train_partially_propagated = y_train_propagated[partially_propagated]" ] }, { "cell_type": "code", "execution_count": 107, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "LogisticRegression(max_iter=5000, multi_class='ovr', random_state=42)" ] }, "execution_count": 107, "metadata": {}, "output_type": "execute_result" } ], "source": [ "log_reg = LogisticRegression(multi_class=\"ovr\", solver=\"lbfgs\", max_iter=5000, random_state=42)\n", "log_reg.fit(X_train_partially_propagated, y_train_partially_propagated)" ] }, { "cell_type": "code", "execution_count": 108, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "0.9266666666666666" ] }, "execution_count": 108, "metadata": {}, "output_type": "execute_result" } ], "source": [ "log_reg.score(X_test, y_test)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "A bit better. With just 50 labeled instances (just 5 examples per class on average!), we got 92.7% performance, which is getting closer to the performance of logistic regression on the fully labeled _digits_ dataset (which was 96.9%)." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This is because the propagated labels are actually pretty good: their accuracy is close to 96%:" ] }, { "cell_type": "code", "execution_count": 109, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "0.9592039800995025" ] }, "execution_count": 109, "metadata": {}, "output_type": "execute_result" } ], "source": [ "np.mean(y_train_partially_propagated == y_train[partially_propagated])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "You could now do a few iterations of *active learning*:\n", "1. Manually label the instances that the classifier is least sure about, if possible by picking them in distinct clusters.\n", "2. Train a new model with these additional labels." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## DBSCAN" ] }, { "cell_type": "code", "execution_count": 110, "metadata": {}, "outputs": [], "source": [ "from sklearn.datasets import make_moons" ] }, { "cell_type": "code", "execution_count": 111, "metadata": {}, "outputs": [], "source": [ "X, y = make_moons(n_samples=1000, noise=0.05, random_state=42)" ] }, { "cell_type": "code", "execution_count": 112, "metadata": {}, "outputs": [], "source": [ "from sklearn.cluster import DBSCAN" ] }, { "cell_type": "code", "execution_count": 113, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "DBSCAN(eps=0.05)" ] }, "execution_count": 113, "metadata": {}, "output_type": "execute_result" } ], "source": [ "dbscan = DBSCAN(eps=0.05, min_samples=5)\n", "dbscan.fit(X)" ] }, { "cell_type": "code", "execution_count": 114, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([ 0, 2, -1, -1, 1, 0, 0, 0, 2, 5])" ] }, "execution_count": 114, "metadata": {}, "output_type": "execute_result" } ], "source": [ "dbscan.labels_[:10]" ] }, { "cell_type": "code", "execution_count": 115, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "808" ] }, "execution_count": 115, "metadata": {}, "output_type": "execute_result" } ], "source": [ "len(dbscan.core_sample_indices_)" ] }, { "cell_type": "code", "execution_count": 116, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([ 0, 4, 5, 6, 7, 8, 10, 11, 12, 13])" ] }, "execution_count": 116, "metadata": {}, "output_type": "execute_result" } ], "source": [ "dbscan.core_sample_indices_[:10]" ] }, { "cell_type": "code", "execution_count": 117, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([[-0.02137124, 0.40618608],\n", " [-0.84192557, 0.53058695],\n", " [ 0.58930337, -0.32137599]])" ] }, "execution_count": 117, "metadata": {}, "output_type": "execute_result" } ], "source": [ "dbscan.components_[:3]" ] }, { "cell_type": "code", "execution_count": 118, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([-1, 0, 1, 2, 3, 4, 5, 6])" ] }, "execution_count": 118, "metadata": {}, "output_type": "execute_result" } ], "source": [ "np.unique(dbscan.labels_)" ] }, { "cell_type": "code", "execution_count": 119, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "DBSCAN(eps=0.2)" ] }, "execution_count": 119, "metadata": {}, "output_type": "execute_result" } ], "source": [ "dbscan2 = DBSCAN(eps=0.2)\n", "dbscan2.fit(X)" ] }, { "cell_type": "code", "execution_count": 120, "metadata": {}, "outputs": [], "source": [ "def plot_dbscan(dbscan, X, size, show_xlabels=True, show_ylabels=True):\n", " core_mask = np.zeros_like(dbscan.labels_, dtype=bool)\n", " core_mask[dbscan.core_sample_indices_] = True\n", " anomalies_mask = dbscan.labels_ == -1\n", " non_core_mask = ~(core_mask | anomalies_mask)\n", "\n", " cores = dbscan.components_\n", " anomalies = X[anomalies_mask]\n", " non_cores = X[non_core_mask]\n", " \n", " plt.scatter(cores[:, 0], cores[:, 1],\n", " c=dbscan.labels_[core_mask], marker='o', s=size, cmap=\"Paired\")\n", " plt.scatter(cores[:, 0], cores[:, 1], marker='*', s=20, c=dbscan.labels_[core_mask])\n", " plt.scatter(anomalies[:, 0], anomalies[:, 1],\n", " c=\"r\", marker=\"x\", s=100)\n", " plt.scatter(non_cores[:, 0], non_cores[:, 1], c=dbscan.labels_[non_core_mask], marker=\".\")\n", " if show_xlabels:\n", " plt.xlabel(\"$x_1$\", fontsize=14)\n", " else:\n", " plt.tick_params(labelbottom=False)\n", " if show_ylabels:\n", " plt.ylabel(\"$x_2$\", fontsize=14, rotation=0)\n", " else:\n", " plt.tick_params(labelleft=False)\n", " plt.title(\"eps={:.2f}, min_samples={}\".format(dbscan.eps, dbscan.min_samples), fontsize=14)" ] }, { "cell_type": "code", "execution_count": 121, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Saving figure dbscan_plot\n" ] }, { "data": { "image/png": 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xtxrkr4FV7zau1xo4aypY/86/Gf73x/ernRD+eggRwCMNDVWiEEiAWqESdTl0ti7eha3WgaH7hvnCneXe3zacrNCycAk1GRhSMl/bzBothz6uVGKJwIKJXMr42rSKOuzkijLChIVCUcnRRk/q5A6S8uo4s1MkCBc/Fyzztq9LSaGtzNMjEAth5g1AVeD1TZ+uSN+YMbB0qe8iPNfokYo+/TTccUdj6ecBkIqGEMKRCCkl279+hW2zX8Fw2DnwlE8SFgv2qoOz+LLXQGxHNQyYwsASAX1OlAgNsn7HLemTjLzawBwOEQkQHgtjrjeoyBGU7xIMvcTgl4cEJqug20RJRCIITbUZHgd71gaqczWLpNNwSXIfSXIf6DVFUr1HsOZ9wdBLJcIE1QWw+v0D44eZt/BrhKYx+G/3Yw4PhYkJITiECOCRiOZIoB/5sz36JKXbS3DZXVjCLSR1iiUs0ophSHSnjr3OwbaluV67PQOJCx1rg0dmpchmmZblnRN0YbBay8GE4CHLV6TJOE7Xh7JE28kWsUf5c0ilBt4lStlhKsJW7MRcKpmdm8cxHTY2uhyLZsZl6Jg1E1AEoghmjgF2qevxXOO0K2HB6sDK06cr0ueRii5YAGvWBEo/Q44iIYTQJKSUrHtjBnl/zDlonryJPWH0tUqVariafu8iEhTpKtvZ9HGhKUnb+i8FhtNHqszhkkFnSzT3sKWZFBnUndDnJEm/UyRrPhJoZkgbBIYLhFsgl9wbIjtIuo2XmMPguPslEQkSaSjyB+6hwoR7gezrm8mqSGZ4rPKD6XeKZM86SUWOwGWH8l2Q1ANAkUGp7/94k7vgS4rW/M6o6c+S2GfYfrcXwpGPEAE8UtGQBLpJknHrNLZfMJ3q37NUUFYJy7VMftqxgVQRx6XOsUQSFtDUNlHAy6b52HExxujBGcYw4ohgJ0V8o60OFAh4iaAkXFo41zWCV8xKPezrmyKUnfQENmn5ADgM2FPf9Mq1S0SKm/w1vL4LYNY8v525sHYtDO0Fa3bA0IE+cvjUUz7yN3SoIoX7IBUNIYS/ErZ99SJ5f8xBt9cf8Lat0ZLhlxtEdVCEadx0g8o8WPtRY5Vo7xMMknvBvMcaH4vtJEnoKskYA7GdJVu+MyjeIrBEwogrDUxW36sOgASTBXQXrP9KkDFaktTTR+Y8r7+hgyUczGFqX1iMqqOZ/NaIEnQH1BQH9slZK1j2msbEuw0MJzjqYeXbGpYoyFkscNYLIpMl/U4zsEZI1n4SeF2aSRKZDDWFrRuL7JUlLP731Yy8fRapQye0qm4Ifz20GQEUQtwCXAkMBj6SUl65l7LTgX+iYoJ8AfxdSmk/BN1snwjWw9dDAj0kCNh49q3Yy+u89nvFVPOBtgSn0CmS1XyureAK49iA5t40LcQuXAAs1TJZqWXTW6awTRSiN1AHmdDQMUiRMRRTTXc6cK4+kk9MPrWup8omU7767V48d4myNnk5e2yl3t+6NFhTto3hCX0Qd3wWWPDZX2HaZEUM7/hMkcOhGW7J32+wZq0if2vWwB3TYeadMP1+mPU+3Pb3EPkLIQQ/VGZvZvs3r7nVvgcezjqoK4Oknuq1i06BzN8C37/0oyQjrjQwdGU3d9rTOlkLYeNXijAJTTL6OoPwWDXsxXWC0ddJ8tdI0oeA5i+p85BAAbYqsEarfUteFpz0mESzBL7+JgtoZr99GlTvhvgMH5kUmiKJJpOvYtpgg+oCQUy6pLYUcpdDr+PAEqmIISg7w4wxBmkDVRuaRWf3SkHRZtXhzqMkfU+R/PKwxw4xeOgOG8v+dxORKRlIQ0doGuEJKST1G0Vi3+F0GDQW0XBBHcJfEm0pAcwH/g84EUXsmoQQ4kTgHuA4d52vgEfc+45cNEfy/G3ZtCbsR/xt2TxhUPzQYea/yL32HhACBy4+MS1Dc6sudGFQJmoppJIUYhEIskUJ1QSqflwYbBYFXnWu9xvQMdAQFFFNV5lEMdX8oK0L7KMAs9TQpeGxsSbB4mJEQtMZESqcNTy75TM6RSRzVEIvFhWtJf2+eXR8dS3br+pNlCmcjq+v9zXukQ6CT0K4Zi0M7Q8rVsCdV8OsZ9UH4LYpMHM4iO+ByUDIhiaEvzaklKx8/i4Mh+PgncMQ5C7V6DLGbWaiw+5VgWNeZJJBwTro0F+RsYpcyFoosERInPUCaQik7iNknu+OQwP9vfwlgNKAsGh1vsrdklFX04j8SalIoodYSgkYimD6l/G0O/GfBi4bLH4RjroQdIdSLectg27Hwo/3BhI5Zz2k9FXnRUBKf8haCDHpkpFXGoTFgckMxz9oULQF1n/aOsImDZ3agmzvdm3BLkq3rsJsDUeYLfQ46XJ6nnJlyF7wL442ywQipfxSSvk1UNpC0b8Bb0gpN0opy4FHUZLDIxfNZbbw9/AdMUIRvIbHPerM8nLk7bfDrFkUnnE5y2dvpOD0y0mb8x4Zrz9OFkX8pm1hs5ZPDOGYpQmrNDPB6Mu/zN/wtVjFq6bfeNP0u4/gebrTkJdKGG508W4aQhJLOCcZg/nItJQqzdaovAtDNecmkB1M4Wha80FjzWjk1Rfz/e4/mfD4djq+upbVl2fw/d0Z7A6rZcdVfai+aSw8O4+8G16g1F4JMy9AApvPTOPPaT0ov7Q7mBbDzPGBjc88D4QB7AY+Aaqa7UcIIfwVULZ1JfWlezgQDh9Ca74NIWDHPJj3b42CdYr0gLL5S+4t6X0CxHVRUjJnnZLKDblQMv4Og15TDMbcqBOR0LhN/99SKps/m9t3zaPC3fKdkt516NeAILqJnclPISFQ0krP2OcfZ97z2xIJE+9WbUbEw9F/l/Q+UZHIY24x6HeainSQ1EvSoZ8kd7nPkcRkBXOYoLYISjPdpFUDsxVylx6gadrQcdlqcdZUsP2bV/n1jpMo3XLkpiEMoWUcDjaAA4HZfttrgVQhRJKUsiXyePhhb2FchED/z/9g3nxMa9aowefhh5Uk0J/8TZuGYUi055+j4PTLyb1GSfxyr70HiSR9zvuYtB3MvmESSEGJqCFWRhApLbxh+h2AuaZNWDDhxBeepZuRRLbJfcuF70sCq7Qcv2uAOhy8YvrNu+0ljdJXb4jswvn6KJaaNlES9e1eb4sTtcyf8Ph2hr2Xy+rLM/j93t4gBH/e0p0oLYwRiX2JrC+h72vryTLeptzQKbu+G8tv6IYrTGOty8aVzpVE3B2YQsl+2weEzbrUfZ+dwMdAJ1Tw6TQaM94QQjiysePbN9Ht++/0kTpI0nuKwaJnmpZglWUJyrLUsTUfutW6Jkm38QY9JyniFuZW1e5ZCxljlKpYaNBzsnLO8MBZp7x8TeZAEigNJT0MdxNFKRUJ7H0CWCP9JHxueMhgeTbsXiGo2iMZfZ3PFtDThn9ZD6mU/mMdvvIJXWH3aphwt46hQ1QyVO9RkkDDCWGxMPRig9oS2LMOuoxREkoplRS0YteBVdkaDjt2RzGLn7iOARffSY8TLzug7YdweOBwyAUcDVT6bXt+Nxn1UghxvRBihRBiRXFxcVNF2jc8dnu33abInFsS6LS5yFq9m5Lzr8a0fh11Pfoj1q6h8vLrsdXYcd50K8yahXHLrQA+8uen7i0TtTx7/VR+O2MK585ewvRX5qJJEBL6GKlUino1eLkHLSe6bzATIIRgqj6QSGn1SgSlgFQZ6y0D0FHGc44+gv5Gum+/n60f7p/n6sPZnfYBcd0+pHtMacvCBiGwx5oDyJ8HtYadxaWb+PHuLqy+vDPhy3fT661tbD63I65IE5gEOHTKrngBZs3DNW0S5bb/suaKLoQ9t5C6W99DBqSt2g38ACyg/Uc6C+FwQnsfo6SUlGxcQmuee2tUYNmIRMng83X6n2YQ3wWOulCny9i9p4UzhxvEdzWY8rDB1h8EVXsUsULAnvUQmezbBhXOxeON6wnxUrgBct3mxtJQBMpwKecNDwwdNnwJW75t2tLGQ+5qC8ESKRl5JUQmKJLWlFKmKXjIoH/bvY6H2HSI66gkfond1TWExahy1mglZawpgtUfwh/PCezVMOgciO1oYAo78OOQ4bCx+aOnyJr78QFvO4T2j8NBAlgDxPpte35XN1VYSvkq8CrAyJEjD8+Zu4EHr8tlsOG0m0l/6TFSv3nPLdX7JxlvPEnah2/Ah28AUHDG5eROvZGMz18CP/IH8JTpR/JFBSY0fr9hDHeKGmqizHSWieSIMkpENfW4o/k3IbFDQLI7ePMxRi8escxGkwJDSsxoAfaApdQwUfYjX1Q0thP0+/2g5Ws6lEVyQrTTe45GaDCKLr2lR7P2kU7p8vY5fV0Vqy/PoCJDmZdqaGgSkr/LgqGd+WxaIkVZP2K6tw9SSoa98Ae1SMJmXYqmaWhCA1xAJmoNMjL4/y+EEPaC9jxGSSnZ8sXzrfL6jUqRTLzL4JcZGs469V4aTkjqBZGJqkzGKKjY1Xwb6cMMhl4kkboKrjzyKklMGrgcvlh78RnN9dk3HKz5QMPQBbEddWLSlFdvXSnEpAdK68qzNaoLJYPPlwG2fP6/u09QBNNRG0j0PGFgGkoBm1Ije34jICLO91vgO5/HlFszQe4yjbKdgk7DDcbfLjFcqsyEu1QYmZVvm9AsEsN54LQSusPGxvefILHPMOK69D1g7YbQ/nE4EMCNwBDgU/f2EKDwiFT/+sOPBJpnzWLYC88BUHD65ay49iaEqIFr7yFtznveKl5V7/k3eUegxWIHs7XVVAulzjHcUr0nrp/kHqHKQECVrA+Q9gWQQNT2CLedX76oIEJacKAI125R4SskBXZcPGT+iiQZBUAHGUM5Nbg8bNLd9vXvLWJIciJ/3tjwZJ7mlMrXGWtm8S09/G6NQAIdI5LJry9pVH7Y+3l+UkJItsQxaF4FPe9fjKlHCqzJY9CjZhbc0xsdQ5UDhr3wJ5trCyl/8iSOSTnK3agLWAcM5fB4XUIIYd8gpWTDu/9m17xPWy6MSpc27DKD6BSlYj36JoPqAljzkSAmTbDlW40RVxpIA6oLIWdJY4VTZKLkqAsNknq5CZT7FUvpp4Yws9XnIaz6GEi4wLddUwiGrgav6BSlXrVGq7h/Dcna6OsNbJXgsivVbmmmJy6fXzmUY0ZSL7CqoUyFgdECy9WWKJWup0+GrshcTZE6vyXC13dv2wZefzVDh4VPQ8dhoGkGMemC6DRfvEGvGrkHjL1JJ6oD/Pqv1nsH7w2Gw8GKZ25n8n++QTNbDli7IbRvtJkKWAhhFkKEAybAJIQIF0I0NcO+C1wjhBgghEgAHgDePoRdbTsIQf2/ngjYlXvtPXxsXsZn2jIyXg88lvj6IwGjTDm1bBL5XvIXwLE0ESDlK9PqGmt8/Lave38h0W88xCztJ3rJFDJkIrqQfm1Ipr8yl+veXwgCyqhhmygEQ1Isqn3kz6NiNiRRtfWsP73Yb6ks6B/b1dvehMe3021hKZrZQpQWRrwpOqBb+fUlCITvsoTAnBAdoCIWQImzkl67BGEXHc1rHw9i9eUZ1EercDWeer/f25vVl2dQGWWwtnwHP+xewu46j3rOALK9/dorWjoeQgjtFNu/fpmc377AcAbn+as7wFYBUR3Udkw6VBcIUvoJRt9gEJFosHslrHpXQ3dAh34NVMBC0mGAQUL3xmSuofeuJUKRqoaeup5vIRTRO/Y2nfSjJGs/FkpF3EA65/ltjVL99dgQJnZv3CYom8PYdBXMGfB6HOtO1Y6zHsLjob4SkCrriEctHZWsnFbs1b5rqcoHXcc7bjrq1XV1GQt5KzQ69IOJd0t6Tnavk/1m6LAoiO+iJIkjrzLoNXXvKvXWQWIrL2LP8l8OYJshtHe0pUjjAeBhv+3LgEeEEG8Cm4ABUsocKeWPQoj/APPxxQF8uFFrRyKkxLjt9oBdWW9exc7rjuf21+aSNmc5P545kaSrX6TizVuYOvtTdGFQec0jGALma5tZpe3ySfQABMQZEcrerynVLL5y/v2IrrVxwewVWDGz65qBDDO6sksvQBcSl0kw7e1FXDx7BR+dORJhQAxhVGFj+qtzqYkK57XLxvtOIgEh2HHNXaRFvgFuIqYJwYC47vSJySD2H9+xvnM4H3wzFt0iwLAjCIxHJhAcnzqCTVXZjErsz6rSrcz/u5JkeGYKz2W/fhlo0oKBzsJ7+zRePLtJoJopXOTVFTIqub/7oAEshhmvQYUNZj7TpAo6lE4uhMMVldmb/VK9BQtB5m8a3ca5cwIb0GOixBwmQUK/U5T93frPwVGncfRNBtmLdTZ8phwaknpIek/xef564LQpT9q9hTttygtXCEXqknpLNnypMfgC6Y3jpzuUOlhoisxpmiJv/iSxYfsVebBptuDom9RBwy3JLFivHES6HgPWGOjQy00khXJY8Y8RWLwZbJVKOgnQe6o6t+ecYW4nlG7joNs4A93hd03CJ6H09Mns9kxOHQhlma34q4KAbq9jy+cv0OnoUw5swyG0W7QZAZRSzgBmNHM4ukHZp4GnD3KX2hfcZCLq7Ve8zhzprz/GBbM/ZMj6XfTNLOTTM0fz1PVHo4kPMa4fSwnVXDz7c36gCMs1T7FHVDZS4yIgSUZRST0JMpJy6jAh0IVEkxCwpvQSR8HMG6YAcPHsPynbfDuOPsPp1yWcmrzVDM1z0HfVevJ7dKHk6gd4yJVK9BsPkrh1I4O37uGjM0eCYTD9tV+piQ7ntUvHE4GF4xhAfe0tbA9/Dl1zMWGJpPMNHWD6pxivrWTNuslKUunX/YBbhOS3otW4pM76yp3k2orc/W561tA0DUPqSAEmoeIQegJXN6zXN7YrsRa/GFmyDipWuOMKlsPMtwOX56F0ciEcppCGwYpnp+9TwGdzBOQsgZ2/afQ5waAqH/qerKRaBopgTf2XgcmsXomuYyFtoM6GLwEE1qjG5MtepYiOow7CY/COW446P3WqnwrV/1UzWdzx++IkJgv8MUvQfaIkd6nA5YCM0ZLNczS6HSvpPFJ622soKRQCshaA4RJIKanMVdK3hC5QmSNwpkBid+mNE2gJd/ergQSxQ181jJZlQUJ3txMLjc8JYKsGq4eQuu9DWEyg6thz7Y465RV9oFG7J5ONH/6XARffhQiNX0c8Dgcv4CMfTbmWuclE0ZlXkHvNP0EI9lxzH9k9OtE3s5CtPVL43/WTQQh0YSA1mHn9FD46cyQnf/M7sW88zPWuiYiG0j0JmaYSkFCu1WHFzP9cF3K58xgk0F+mY8GEhiDV8Pe9Ecy8fgq/nD6RxG2bSPv2fUbk2DhtXQ19V63HGZtAx8wczn/9c0a89jwTv5nL4K17WHH6KXxx7flMf+1XLp69gvgaJ0jJQKMzVkzE2XtyvP0hbnrTxFF/nwfajTBrHuKWyWhNBLq2ikD7FJdUYWqyava0eJvDNF/dCSlDGd9hiI/8udEpLJnRif1ZW76d3wpW+V2+gLgIGNoZZr0H08/Bm07Fn/wNHQpxcSHyF8Jhg5KNS7BV7Js3ctVuwbpPTdQWCVa/b6Jqj/CGRPF8m614yRqouHgDz4KCdRrFW3xteY7HpKq6Vvf6a9V78OezgvJsRYocteCyKUcTp5+vipRKRRseB8Muk2gm6H+GxFkHJTsE5VkaW75Vjirbf9HIWSrIX4ObjKJMmKVqu6YIyjI1qvLht38Lb/+kAV2PlfSYJCnaEmij5xkObFW+6/F4LSf29JG/htJLz/BfmatsKaWE2mL48wWVN9j/+gwdlryinO4m3SP3GmMRoOdxBvFdWmeWkvXj+6x55X6lSQnhiEaIALY1GgZ99iMTZRdcxa6r/kHGG0/S8cPn0TX4fUwvtvZIoW9mEdNf/RVPPl+PWnXm9VP4+MxRrI2u4k7LJ5g8f7H/u+zxRJMwTZ+CFQtj6ckl+tHkCOVbc4zRiwf0MxjmdvwQQBIx/HT93yg4TcWMSvv2faKyt1LbrS+WqnJqu/cjbc77pH37AQAFp12GvOY/XPv6d1w8ewXfnjmOr6+7kH8Yp3CeMVK1KjXq6tLQZgXansinz/OEigaUF+95XSYzLLE3J6aPwSxMmIVvOS0byAejTOEB28lhcdTqNve1CDKr89leldfo7yiwl7GsbDMGks1Vu3hjxxx2VOexu7YIo6IO1uS5SeBsmH55Y/K3Zg1UVoZsAUM4bLDj2zfQbXX73Y7QJEk9fM99Qxs9/+2waDjlvzrxXfCOTf7HpVSEKvsP2LNOo3yXRuZvgh2/qro5y2HxS4KlrwqvI4UQUJmnpIAeh47E7iAs0PUYg8hEgykzDMJiJMIkyVkiWP2eCXuVhr0aclcolfUfzwpWf6BRXy4wnIK6Mo3FL2oYuu88y14VXkcVD/JWQv4aWPyCKuexExSi8XpQGupcoI7VlEByHzcBdSiS3P806Y096N/GqGsNrJGKLE552GD433TC4yRRHXydiUiQJPWW9DlB0uckg6ReEs0S3JhkuBzkL/2RzR89FVT5EA5fhNwa2xJSNh30OT6e2itvIPPsW8l4/UnS5rzHijNOZZr5fbj8GJ6/bCzTX1XqVIQgDDMClV3DJQyevuF4NDQCaFFDO0Cp7ACt0vcIfGdaS61QBuCLtZ2cZ4ximOzKcfoAomQYW7U9TJB9yb1uDGnfvu+t5zr6WMpGHk3i529799V270futfeQ8caTjJrzOwWnX0bK1fdwk2Fg9X/sBPQ/umujlHXaHQuIuSWSalcdAkFiWAydIjvQKVJZnKeEJ1BsK+fHPUsxC5NXEgiQZI1lSEIfiu1ljEjsx2+Fq9hVW+i77UjKHdVUuWob/SUNJYK1Lhtxlig+zP6FYx8cwkgh3DmGO8OsD9UHfOTvtttCOYVDOGwgDZ3SzctbVaepMCSWCMnURwyvBCuA8BlQsVtlx/CoTHE7UJjC8Won/OvoTl98e6RAs0hGXq0IkWFAr0nQeZjkj+cE678U5C4VdDtWkrdcICV0HmF42y3bCUMvgrqJSio45kZ1zFkLi18wUbABCjZqSF2w4QuJ4cTXKTeikpQd4fa5gp6TJBHxguVvCCbcaWC4lNRw7UcaINBMku0/SbIWCcbdbhCVpOwPPdeou2D7L4LwOEneco3u4wziu/qcXMxWdc+S+6huBKimNTD5xT60RkN1AQw8xyAmFX57Qp2oxySD7uPVuZJ7QYc+Bkte1ijdEdx/rNvr2fnT+6SNPJ7EPsOCqxTCYQdxJIt5R44cKVesaOepbhrajs2ciQTW/rSVtBf/TdocFffvw+vO4VPzcqSX1PmMRwbqHdloyg8geL72/fZJGCA70tdIY4Lsw0qxi6NkBlEoK+P7zJ8r5xDAJDWecl2EhQYR6KUk4/UnAsLPtISCBjEJPbCEm+l/bFfC7vtHwPV77kflA2ex+MZETEJwTMpgosyBKaNtup1NFdkMiuvBSzu+8u6PtURxVc9TvdtLSzaypGRj0P1tCA0Nw00MI4SVvz1fQ9jzCxsXDJG/vySEECullPsUKLKtx6iqvB38/sD5GI7gsn7EdJQcfaPBL48owuSBySo58TFDSaq0QMlYbTFEJjVQl/od9yd+hgs2zYayTIHZ7QhSsUsxnqhkyeT7DOWRK1UoFHt143ctOlUy4AyDnfMFY2+U3v74n1vqqj/l2Sr/8K4/W1KGSfcY6ladSEg/CrqNN9j1p6DvyZKFT2u4bIH9yRhjUFsEw6+Uyp4RRe7Wfy68YXGSe0tGXmVg8ss04gkl06gXDa7DQyg9991Zr1LrZc7TmHSvocLTGLDhS0HO4tYr/MISUjjhuXmIpjoTwmGD5saokAq4reGJ9+eX+cNWbSf9ZUX+dp5+Ppff2IvPzSswAiR6wkvusrTixipebzm/fQK6Gx2YIgeSLUr5xLQsgOBdYRxLBFYsmLgi7Ni9kj/j1mlqKT5tWouXmHf9vQiz5u2LJdxMr5GdGDqlV2Py53c/4v7va076r2Bq+rlEmeMBK5AKbsIabgpjeFJfHNLlHwwGux4YxqJjRHKAurg5mJt5HQw/qWC9dLDhweFKAuiPoYPh6adD5C+EwwKOmgp2fPsmf8y4NCjyZw6XHHWBzpALDazRMOpqg36nKqn76Ot1jn8okPwJP41DVLL69n81/D13PZBS2fft+tNEdYFg+BWSqA7q3KAycRgGFG1S5/H30fJHTaFg2WsmSndoLJqlNe+PJSAqBSrzgnlnBd7QAVIAgj3rBItfMJG/WmP+v02NyB+oPL41xUJlJTF8TZn8UtiVbBdU7g60JfTcR3+1uGEoyWjDmIaayUeurZHQ9WilGva/793H75ugx15eTN4f3+9T3RDaP0Iq4PYAv6DPzJpFxKxZRKAkZ8XX/oNhchWLxDafGtczzri/66RDecu63/FIrGqfp4yUJBJNmahlnmkj89mM2Z3n90Hzl6TKOKbrJ9DPSOe58MsYfFxPhBDYahwUZpVRWVSDlJKubzxJ/Jz34Lbb0Dz9bYhbb4WFC5U61I2hP7xE9QP/B0IQGRtOWKSlSclnwKzgdz8guoFkrQqYAygVboQ5jHCTlXrdjklodIxIDuhSRlQqp3ceR15tISvLtpIakUhBfZmXTnePSmd4Yl/supOfC5bhMJzN/1dS0unBBcoW0B9r1sMdZ8HMj0BENV8/hBDaEFJK8v6Yw/o3/4Vh6EFL/gynincX10ltd+jnI047ftUYfZ3RSNLmVe1q3mFICdI0qK9QKmHwOTcITdn3TX1Ux1mrnDkGnycZfI5k0TMalXnw2+MadaWCqA6S+rKW++1Rq9YUQnQqLHlZ0P906b2O6j1QkXNwF22OGsG6T9Q9MnSoL4OsBYGLTVslLH1Vo89JSpXrqIWIBHVMd8LCpwUdhymv44zRBGh5GoWxke58wkerEDuOOlj/xb5eo2Tt6w/S+dhTQlLAIxAhAthe4CE9HntAIPPmm6hLXk/GnkRcwvBoHhTchjTXfbCQ6BqbCtMiBB2MaBxC943EhuSOV+dSHa1i8dULV4BauEbasYkSftI2cJIxGF03vO7/4dFWug5O85G1j9/wkTWA22+HZ59Vv4cMgbVr4TmVscRrEzd0KOYXnyPBojUmefHxzatN/UlgfHyD47HAxcB2YBEmARd0PY4VpVsIN1kZnTTAXe5ooAvwOV2iUukSlUqPmE5UOmqod22k3mXHbDJh151Uueoos1cyPKEP+fXF5NUVBziheO75hMe3k/ZeLnJoZ4Q/CRzaGWbNAc6FmV+CaEY8EUIIbQTdYWfFrNsp2bS0VaneQGXY2DRbY9I/VWYP3QnbflLvZEWOe6hxKccEaCJ0iXvb5V6XemLbefZ7PWTNEGb2xeczuR33B51nsGedYNciRZxqi4MjNDVF8MezGuXZgqRekoocyFsG2U6oKxakDz2QwZSbR3icpGAd5K/WVABnIfEPRrr6fXUDaos0pJRMvlcN9uW7lCOLyw7dx8O6zwQx6Sp9XUJXVddpB0uY715aIlV2EpNZ2S0CuPz+bpNVojuCJ4SG0876dx7nqKse2K97EEL7Q4gAthdIie3W6/D3XU37+G7eGnwySek9uTpmPOlGHI9ZvuW69xYSXWtj5vXHE11j4+LZKxAIXrr+ZB7Wz0JKA+cbd1IWZaauroiL3AGavdbX/u++UM4ja0UuJzEYi7WJR6IhWYNA8jdtmlJ/jhzpk/yNHw8TJqgyQ4c2dnQB5QHdUrTXZm3qNKAv0BvIJd66iinpye793VEZA91GNwwANgMutlflsa5iB4Y0iDCHc2nXqSwt3cT8gpW4pI5JaHSP6tgs+Rv2Xi5F/aJJWZNH1U1j2DxjNDXz1yM27mFUXFfW/JhJjvUWpk6/iw7xqWCNRvjre0IIoQ1guBwsfuJaKjI3BC31a4iwWCVZyl6oJFWWCIhOM4jtKNkxV5D1O0y6VxIW46vT0MR81bsaxVsESb11ek5WUsCYNGXHZvIjj54IUJ5XP64zbP+59VIsZ50KHwNQukPVz1roa6d056GRauUu1chdqn7vWdfcOSW9TzSISVNEurZEhZQp3ARjbpCYw2HQOYr8mdwBrg3DFxzaA2skdB6lAlZnLoQ+U2H8HZKfH5a46uG4BwyWv661SvKZ/csH9Dz1SqJSOrdcOITDBiEC2B4gJcbt0wh/4Q0yrxrHxgdPZ8Aj39Dz7UUMS9P59OjTuO7Cqbzw9gJ6XJnE0TXJDPrma6Kwsuiam9B4iYtmL8eKidqrzqT/G8+QNudntvVIpU9mIR+fOZJZ10/1Ox/EE4kdJ/U4sWJisOyEZhKkdItvuo8esgZKGvjsszBmjPrMnAl33KHIn8cm8Nln1e9p0xR5nDixaRLYks1cizZ1GtDV/WkOY1H2g6vJrNnt9Rh26A5shoMie4V3n5SSzJrd6tQQYHNpjzEp8relhtWXZ1B830A2l26Co0yIgZ34ol86v+UPRGoaz3z1LXP7FhBjFsjEAYhuJyJiQoNnCG2DdW89ul/kD6B0u6B0uyIvi1/U0DQYerEkIgHmPSbpf4ZyQtj2I8R2grRBsGM+9D8FirerYMkd+hpEJAjyV2tYIgxvGjnN5Pb89SOBu/5QGTJAqWo9BO7IhaCuVNB5pBp1IpOgdCcUrochF/ls/Fx2nw2hfzBpf1VwfGdwJEJSb7e0VcLxDyqPZWskDLnQoDIfNn2t4agN7r4ueeJajn/6x4Nw3SG0FUIEsI3g0OvJrdlIpb2AtPtfpOPrP3jJnwSm5ZzINWkG5xQshsXwxB4VgGrQT534aeAVJOnRnDH7fUYbPcm95i0KjCc5Z/Z71K67lKisLdR270efzC18dOZIZl4/hQF0ZAdFSCROdCxo3OE6jRVaFkkymhGyG5pVI6lzfPOd9pCxhtLApiSEnn0PP9xgZIpvA0cJAYwABtM1OpOaipUY0sCiWYixRGHzi7ZqIOkYnky+rSRQBiglYdW6l/z9fm9vqN7lO2wSrHZ0o96iluNmw2CbzcyIKAeUrkeWb4GBVyG86ukQQjg0KNm0jLw/vt0v8tcQ/U836DnJ91of/4ByXlBZOAS7/oQNXygxXvbvEJehnET6niLpPEpStVuw41fBqKsl0lA5dD2Bnz2qZJcTNs0RVOYJMkYdGlVtWyPzN0HvqVKlrROw4xfB2JukL7yOBiarO0SOOxuKf7x8/6HWGumniteU1NCjUo9OVfmLXa1I/lJbsIuC1fNJGzb5gFxrCG2PUBiYQwwpJVsr/mRn5VIMqTPw0W/o8dYiL/lDCGw1krJ8nc8fdvH37B84p2AxX6YdzUvdTgYhSEmK4ayThzHuh9dJ/1aFicm95p8MmH4eUVm+0Po/n3Ucn197HoWiio4yjlONocQQAUjKqaMTCd6yJotG/2O7ERETpLqyKdVtUzEKWqpziGFInc2VP1Hr2smAuF5EW2L5OPs1Cm3Knk8giLdEU+6sDqwoJWNeyCKsyuXLGewHk9DYlDmY+VtScGgmokySl7sVMzbazyNZmGDsQ2hhcQf7MkM4hGjPYWCklMy9bQr1JfkHrlEhCYuVjL1BEp3a2M7PcEJ9lXLYQAoiEiTHP6gInOFS5UwWKNyobALTBkF9uQqgbA7XqC+DyGRJXZloFG/wSEd4vGTgWQbbftLoOckga6GG0yaZ9E/pzaxSVwrWKGUn2dDW0oOmwuxIqf4bk1XtW/mOoHCDwNBbd4+PffgDkvoO388rDeFQorkxKiQBPMTYUrGQnZXLkbiDkcaGB5A/gC8fcxKXAgihSB9QYw73Hi+trOGtTxaxYchJ/P10Sdqc95qMy/fHNdewUduMU+iUylrOMkYSiZJQReIjegnp0XQ7qiNmayvsYZoick3FeWipziGGJkwMjA9Mdj7h28/5akIeLrctTbWrjiRrLKX2Su/oOeHx7dhjzYHkT0rCtTAc0kX3yC6cmhrNoh2CVLOL8xJruSorheUDdhNt8sRy0GHz+zD05kN4xSH8lVGwch628qID2mbGaEmvKRJrZONXXkplzxedDAPPNEgZoFSQUiqHBJNV+T8UbVFkMMmdIi08Do6+BZa+ohxOagrbfqxoC9gqBCvfVuPwmo/Ud1gsaCbpzYUcEQ+Vu1Vu4oYZVvwtazxe17YqpV4v2gZp/ZV0tXAzHHWhZHME5Cxp3b1e8sS1jH/0E2I79z5AVx1CWyEUB/AQwuaq8ZE/N95On8zP55/CurkGy2c7+fxfDkp2SXYu9y3tXup2Mu9lHOeto7skTqfB0rWZrHpibLPny9+zAqdQtm0agiJRFXBcMwm6D02n18iM1pG/IwlS0nGHZMq967E4VJhtl9SJ3FLGhMe3g2F4nT/CqlwB9SY8vp2TXyvmqp6n8uf2/hy/KBaHFOQ4zTxdGI9TwtGbOnJ1ll9YmortGPbKQ3+dIfylYLgcbHj/SZY/fQtSd7VcoRnEdZb0P10nqackbbDBmBt1+p8uiUrCG6jZP14dKJIC0H2CCvdijXJ79FpVxozyXSqzRvYfmkp1pikSWLgRbBX7ddkHAQJhCUM09LQ4hHDUwtpPVCxBJKBBdAe8BsoNw8D4SwUddfDroxpbvhN0O1qRSVBSV3OYCrMz+T6dmI7BawJ1ez3LZ07DcO0lXFYIhwVCEsBDiOzqNV7yV7bboKJAsnKOwbbFUFUEw04TFGc18SIKgSVMufv7QzNBv/99HLhz6FBcS5Zhu/4WLn77O7bcczaYrUQIC0cldyXKHIbJohHXIYr4tFg07a+50vbC7WmcMsOOdG0Bq8ox3DGrnmHv5dJzVR2xG0spvmEEW//RDRwVAR7B5X9PRzdcPDwukqz8KpaUeYi08riul9Dd6mKnzUzPcPdEvPEtGH57m1xuCEc+8hbNYdXL96rgeq1E+hDJnnXufLq9oMdEg6Re0HGYQX25Imv+XMibucJNToQn9bhb+rTlOzh2mi+zxZ8vCKr3CCKT8MbxM3QllSrdoSGN9jIeCcwRURzzwDuYwyKoyNpIRfYmKjM3Upm9Cd1ej2ZVeemk2zjPcNoauz0fAEhdpbqLTtXpMVFZNFfuVlK9/DXQeyoUb1ZxGlMH4lUVCwE750NiD9izVrDmAxhykbIv9EoL3Z7EEfGS6nx13cHAVlrIjjlv0OfsGw/49YZw6BAigIcIZaXVPDNjEdXlOsdcaGbrnzqbFygyWOXW0Kz+di+DR8MweZrk3qjf6PHWIioHdCRuU7439p75n3cT/dZLTJ4+nc63v0XONZcy+s5HiQ0LBShuEkKQMONFzn38UrZWryC1cwZ9b7wMXs8hdk0eDO1MhxevpVvZJgqLy73kb/XlGfx+azST6wrpEd6d7GqwConDnSnAs0R/pzSGNIuLnuE16nxVu5AuG8Ic3myXQgihtagtyuOPf12Oraxgn+pHJUtG/M3gzxc0dIdk5FXSm2EiIl6paZuz8vDGAXR7oyKVg4HLBjvmQuZvGt3GuePPSUFdCQiTJHsR7PxNI/0oiaNxau5WQTMr74j9dXYxhUUQnpDC6DtfJKZTDwCiO3an87Gnecs4aiqozNpEXXEehsuJKSySiOR0tnzyDFW521odZzEYaBps/R5SBkBCN5j7iIbLDrtXCLoea2AYMiANn5Qw4HSozDNY+LRGTLpUUcAaSAxjUqD/6ZKizYKG0a+ag+6oZ8e3b9Dr9KvVfQ/hsETICeQQ4dabn2frugqkrlbQo88R/Plx6+59WBTYa0EIyU05P3BW3mIv+dtz7SmkvzJHhWPxZNd4+unA7VCe2r1DSph+Cczyk6oO7ayyftx2HLX/OR3LXV9hfe53Vl+ewcJ7+zAgvjvHdRjOE/PqeH2zRAhlV6EHBpEhzmQws0sZE2JsgIYYfA0iaeChvsIQDgLagxPIrvmfs+6NGch9kPohJMc9YBAR55df1gFoPq9Rf5syD4mAQLszl8MX0FkzwfI3NQo3HJrxxhwexYTHPqd0ywq2ffUSjuoKdEd9qyRyJmsEUhr0Ou0q+px9E5rZ0up+SCnZ9esnbHz/P4AiSgcKKQMko681Ahxp8tdCeZagxySJOQxylqhwOaOvk95yP92vEd9VMvpaicmKV1Lrf2tcdijcAGs+bI0pkKDXmdfR56wbMYdFtFw8hDZDyAmkDVHvqqawoBJ3qDmkhMoiNUi2ZrwWAo6+QHDZih/p8+didl55LK7YcMrG9CLymWfVEjEghRqKBEIbhV85zCAEzPwwkACuvB/u+AxmzSNq1jwAMq/px/b7B9PVHEaJrYKXl9p4fbPkwa9mUxURwayTT8TkziAs0QDJxBgbY6I8kgkDaSsLUtkSQgh7x9YvX2Dbly/tG/kDkIJV72occ4vhVR9u+wk6jYTYju4iHrLQUBPht+3x7F37sUbqIIm9gSP9wYIpLJKx97xGdHo3otO70WXSuZRtW03x+j8o3byCmoJs9PpadKcdaegIoaFZrAiTGanrSN1JdHp3uh53AZ3Hn4klMnqf+yKEoNuUi+h0zGnkLvyazB/eob60AJM1HCkNpMu5z7ZzRZtg28/Qc7JSmVfkQO4yoSS1bqVDj4lg6BJnPWT/obZjO0lGX6fC7XhSyDck81KHHXO1RhlK9g7Jjtmvkvn923Q+9gx6nnolMZ167tO1hdA2CBHAQ4DsqtWMPc/Mzy+rFz+pi2DjvKZs/VBBmjtCRRNRGxI6CkadZUVmR5B51Tg2PXg6QpiINsczMbK7uw0RmELNQwpD5K9leFLe+eOOLfDUFzDLFzKn88s30U2z4LC5mPxBDUV1Lh786huuWrCItyaOA2mgN7jf+XYTS2rCCdcko6PsiJ2zkfG9EVFph+LKQjhCkTX3Y7Z//cq+kz83bJVqQWqvUfl4e0yG8NjA/L0eEmir8OWp9cBzbO3HGs46Qd6ygz/emKzhWKLjGHPXi8R188XXFEKQ1Hd4k6FKpJTUl+RjryxFSgNrVBxRaV0OeJ5bS2Q0PU68jB4nXoarvpbK7E3UlxZg6C6K1v5Owcp5GE5Hyw0FQHglePVlyrmmeLPG9l8M+p6oMpvnLIVtP2ps/wUMp8AcrnP0zZKGl+chgh7JrskCUakGI66EBf/RCNYWEMBwOshZ8CV5f35LjxMupe/50zBZQmrhwwEhFfABgpSSWlc5uuEkwhyL1eQTif9Z8DE5BTks+8pJ3kZJeX5j6Z/JCqfdYWbDrwbRyRARAxvnG1QXq+PdhgvSemqMPtsXKl8TFiItsRyTdhFhpgb2fe0g5t5hBQ/581eXe7Y9eY09GNoZOW86cl0uCystZD692E3+xvPo2Wf43Xf3EhtINOnUGQINuDiphns7VoI5CnHsowgRcsY/nNFWKuDawhzm//PMAxLg2Rwm6XuyJGO0RPOofd32f56AwzvmQX25IKWvVGFIukJqf1XW5YBdf0LmfA179cEdd4TZihDQdfL5DLjkLkzWw8+WNvvXT9j43hMYLgfSCD7IdUyaxGUHezUkdFfZWYZfoYNU3sIxHWHx8ybCYiXxGcrjeuyNBjHpgdNBw5CtulN5bMekwK7FUJUv2PVH68clkzWc8KQ0jn3wXcLjO7S6fggHB82NUSECuJ8wpEFm1Qp2Vi5Hl04EAl26SAzrRN+EcUSYolla+CXP3ZRPTZkSyGlmZXPR8NYLE0y43MTgKSZWznGx5DOD46/XkDqU74Fxl/hsUixaBEOSTiQ1sidaiEDsH5oif55EmyNGKPI3dCismOfOd5yJPKoTcuY5VDz7B4mzV/HWxHE8evaZTZBuSQSSejyOIRCrGawapNLNkdgfMfi6EAk8jNFWBHDhwxdRvn0dQVvuN4PIRMnwvxlEJoIlUpGLsGgChUDutUxlHix6RiM8VnL8Q5KSHbB5jqDviZLVH2i4bAeX/IUnptFt6sV0nXweYbGJB7x93ZA4dEXILCaBSQjEQVpI1xbmsurFu6nM3oLRMMTDfkAzSfqcZND1GPhlhsb46QYRiUrK1xwJdNrB4pcDYNvPgm0/7tuYJExmwuKSmfjY54TFJe3HlYTgMgzK65xU2V3ohkQTEG01kxhpxWoO/v8JEcCDAEPqLCn8jHL7HgwZGGvLViOxhIPJLLDXSV693qFW0m5kHAW561UsJpd7Aa+ZlOSvtsK3bejQ5SjBWff4ROphWhRTMm5AE3/R2H0HEs2RP//9HgngbbfBU08hh/RBbMz0NrHz1JGU3zCJa3d1oMrwvJRKnx+JQR2adxsgxazz54A9vnKdJ6D1OvuQXXIIBxZtQQArd21h4cMXYTj2jTh06CeJSZNk/qahmSSDLzDoNEwtTg0dnHUgzGoM8icO9eUq/p8lwicZlAbM+z8NW+XBI3+aJYzuJ13BwIvvaLGsISXVdheV9U6chrLCjbCaSIxoPGlKKSmrc7K9pIaiGjt1Dr1JOh1u1kiJttI1IYqOceFoB5AUVu7awqJHLkO37acbNJDYU3LMzQaGrv4Xk0VJAVe+LRh4tiRtcGB5T2xBT+o5T0zHH+/V9isLizCZies+gPEzPkJoocVtU5BSUuvQKatzUG13YUiJSRPEhJmxOQ12lNRQYXNhFmBIdwhIAZoQuKQk0mKif0oM3RIjsZj2fo9DTiAHAdsrlwSQP4dNUppjsPJbg+zVBpZwOPdBC0kZgpQegtJcNbQkdgQM9ba5/LQ3hq7In2ZWIRUMXSVQn3y172/SMHFcp+tC5O9AoWEe44bkz9+bOj4eTCZYuRbCY7xNpN9+DB8XRVJn+NvOqP+6PiDWukAgGRrhr7KTkP8HsstUhHXfjc9D+Gth5/dv7xP5SxmgcvL2PkESmQQ1hZLqAihYp5ExyvCqA7N+h76n+KREnu+IBB9J8NgFbvleHFTyZwqLIGPC2Qy4aHqzZaSUlNQ62FxUzZ4qm5egefotAF1Kws0m+nSIpmdSFBU2J8tyyqlz6OgtCEJsLoOcChs5FTZMAgakxjIgLeaAEMG4rv0YfMV9rHvrURVLcD9QtlP9H72nSkwWqCmCZa9rdOgriWhCYNrQGxgACSaL3C8CKHUXVTnbyJ77Ed1PuHSf2zkSYXfp7CipZWtxDS5dOfC4jOafP5ffIV3ifVZrHTqr8ytZk1/JyM7xdEuMbLW0OkQA9xGG1MmqWhkg+ds4X2fJ5zoYirzZa+HPT3SOPt/E6LM1bDWCykKDZV96Qro307afMNHlgBi/Fzc9qh9mU+vDE4SwF8yY0TiPUkNS6EcOxT8fCKge9tLvbDnlHBrnWxDIJv7n32siebPYydBIB8OjHCBBFi5HZExuun8he84QGqBg5bxWlTdZJZoZRl2tYsFJXT1Wo68z2PKDUvluniPIXyOYfJ9Bv1PVcY/wpqmwL57fRuMH/4BAaBqa2Ur/i+6g+wmXNju51dhd/JFdSpXN5Z1IjYDUGL6fdU6dde5JMzBQU/DQJawvqGJLUTUTeiSRErP/NoidjjmVLV88h61032I4+iCQUsUDrC9XklpnrUAISWx6E1lDDJ+tJ7jJsgn6nqziB+YuE63wCg6E4bCx6aOnyJhwNubwyP28rsMfUkq2l9SyencFSHz5wPZDCau7n/fleRXsqqhjXPckzK2QuIYI4D6iylGElBJpSFZ+q7PsKx2Xw89oGk/UfMmiD11Ul0g6D2om08deMPlqE5qf2qJn7D5pmkJoCQ0nl6ZIoZ9kUE6bhjxTIl5ciOmLNbxgCIZOukSFUQDGRNpYWhcODaYZCdil4PE98fy7cxkjPvsdauzIR5tJru45Z3y86lMIf3lUZK7HVRd8jJXweMnxDxi+AMGGmuSRULAeago1+p1ssH2upM+JymPUQwyaEoz578v+gwMe60+YLQihkdh7KEOue5So1Ixmy2aW1rIitwJDNrXUahqeiXd/jZ+chuTXHSUMTI1mcHrcftkKmqxhjJw2kz8fu2q/nXqKNgkKNwjqSqFDP0jsaRAeqyS9senqf7VXK8dDk7XptWW3YyVlWZC7dP/+W2no5P35Hd2OO3+/2jnc4XDpzN1eTKXt4KyWdENSWG3n123FHN+nQ9AkMEQA9xEu6QIE895wsWWhgSfdZsOcjDuWqpW3ELBhbstDjkf923mAQHdBchffHxlmiiIuLOUAX0kIzaKhxbSfWljMnIlc9Qz3nJHIV+MuJqaunuvnzuP1KZMxhGBpXQRRwqDWmxUEPFOOAE6Kq+f8hFqosSO+WAPRH8JbF+/1nCFJYAjSMFj5/D+CKquZJYPONUjo5pbyeBtRXwJIHQSpg5TNWO8pgfH+/HPKevd7HNslZC1S3/XlrXsmLVGxmCNicNZVqZRqJrNKp4YkOr07HY4aR7cpFxGV0nmv7WwrrmbN7qoW1bcHGxsLa6i26xzTLXG/SGBi76H0Ofsmtn/1Ivp+kMDqPb7xpmSbZMLdksgEpU3ykHprNBjOxsOJlEo6LDRY8rIyaek80qCmSFCR0/prM5wOMr9/+y9JAA0pKa11kF9Zz+aimv1ecLR8PqiwOfkzu4wJPZJbrkCIAO4zIk2xGOjsXO4jfw2hmRSRy90gMQxI6QFFmYBQ2UCSu0DBdl/5pAw45wEzlYUQEasRl+L/wglGdDj9YF5SCM2hGUeRhfThs4rNoAnKo6L4YswoHvjqGx47+wyizQaaBF0a2Pw8gAUwIdpGjt2MTWpcf/K5LB93MSN3ZPLGHXcQ/vTTTdshhmI5hgBk/fwB9aVNBAltAoZLLShjUgP3ex4j3QUlOyClnxqrdBfoNjBHKtVvwXpI7Ol2+JAqO8iaDwXVBcpbuDKndcb9wmThuP99FyDRc9bVoNvrECYz1uj4oB0G8qts7YL8eZBTUU/E7kqGd47fr3b6nHkdUnew45vX94sEAvQ/3aDnZB95t4Qrya401HNhskJpFiR289URAqpLwBoBcZ2VjXr/MyRVuyWbvtGoLZJkjIGcJSLovM01e7IwXI6/TMq4eqfOtuIathfXoEvJXsz7DjgMCQVVdnIr6siIb1ntHnLP2UdEWuKIsSST3ifwFnp8M4SmXjRHve/fL96lvo+7xkxciqDbkMC6k64yExFjIq2XKYD8CTQGJkwiKbx5VUgIBxFN2QQCxWGdAspUR0ZijwwnwiSp1DUqDQ2TCIzxJYAKl6B/hIPPy6JYVReGUzOxqmd3Pl25XJG+EPk7NGiJPLQTcuGBNHS2ffViKwIICzZ/owXkhjV0cNb7PETtVX7BgM2K2O1ZAwUbFCG0VbrtwgTUlUDRZkFdidZq8gcw9p5XG6lzLZHRhCekEBabGDT5c7gMFmeXtRvy58G24hoKqvc/JmPfc25m5G0zsUTF7Rdp2vq9RmWe+i2Ecu4BcNT5HHmiOjSW9FbmqQVB2mDJxLsNzGFqITDxboNuE2DweZKUAcquNChISVXO1n2+jsMFUkoyS2v4dlMBW4qqcRqHlvx5oEvJ0pxyr33g3hAigPuBAYmTOHmalSEnaoRFQ2QCHDVVI6WnGmA7D1ASPo9NoCcV3LzXXdTXSNb/6iMHQkBFQeM/LNaSwpjU8+gR105s/w6zSfOAYcaMRkTs1L4DSbCoVG8gubljNaffPpj+4U7MSAygTvp7awsMBGtsYXxWHsWHpVEYHsWcWUMfmqFIn6aFyN+BwN6exRkz4Pbbmy/jIeHtyO6ycPXvuOyt8/wNi4HybKX+qy9TY1FZllqg7tkI6UMDywsNOg6FtEFqPItNd+8XEBZLQCir1sASHU+HgWP3rXIDrMmvxNWK4MmHChL4M6sMp77/fUsdNonjZ/5Et6kXYwqPxBwe1WKdhjB0gSe8qDQUqftlhmDHXLc2QkCYW9rrb+rcabhSESf1hNoSVU+gwpUNOF1i6DDqaoMTHjUwhQU33hdvWNLq/h9O0A3JwqxSVuRV4moj4ucPKSG3ouU81CEV8D5ASkmpLZd1pb9gtkom/s3CxL9Baa7Bx/c7vSrh3A3Nt2Grgo79BPXVKmm3NQL6HuMhC4Lu0cPok3AsVlM7inI/YwZUVDRPSo50h4UG1xxhsbDk6utZPf9/dNaqSbMqhj8sysHyunBo0gcYPEZU2+wWkkw6ZbqJgRFOzj8zFZ7zlTJuPNpPeRxCq7C3Z1VKKCuD556DpUth8eLGtpe33w7PPtuubC93L/kew9HyoO6FkFTlCxa/oGGygMsuOPY2ndQBKsZ5mjt7WiMO7JYE5a2CuC6A22lkwX+0ffYIHXL9/+1TvYZw6gbZZXVtPsE2B4dukFVaS5+UmJYLtwBrdByDLr+H/hdOp3D1b5RuWUHR2kXUFmQH3cbO3wT2KqgphIwx4KgRFG2CQefIgFA+EEgCAeLcJphV+SotYMkOSB+s1MdSwpKXNHR7cM9D9e7MlgsdpjCkZGFWCUXVdvR28ly6DMmWomq6Je5dDRySALYSLsPBH3s+4oc1H7FhWTH2Wt8/npShcfJt5qBmbEOHvI2SiFjoNVrj3IcsmK0CkzDTK24Mg5KPb1/kT0o1oc6a5VNTNjzuUVtWVOxV+mJ36WwsqOLrDXv4ZE0en6/dzZJdZVTU71uS9LaEJSyakZPvJM1vJdwzzMkr3YqJFTrNPwyK2p2dUMub3Yr5pEchES8tYPrll9DnqSc57e7plM+YiVz9/KG4jCMLLT2rM2bAwoXq99KlgZJAf/I3Zky7ksAWrlnYqvLH3maQ1FMiDYHLPVEvfkHDUet3SQ0mf3+uO+hst/Pa14KqfIgKzq68ERL7jaDjyOP3rXID7CqvO+grIiklhmvfcitLUAb/B1ATYrKG0XHMiQz+2/0c//QPdB5/ZtB1d6/QKNmmYavU2P6zL07ptp9h6/e+cv6PuP/v+grY9pNg0bOCnKWK/Olu55GoDjJoNXBN/s6g+3y4YUNBFUU1joNO/grXZLYqbWCFzRkYDqkJhAhgKyClZGnhF6xblcuH9zr56QUX79/toLLQIHejQWmewdIvXK2KL9Chi+Dk28wkd9EwCQujUs6mf8L4g3cR+wpPLLzbbms8sbbCZi1/TwXPPvsTv83fSN7GHIq37sZpSLLL6vh5axHbS2oO4UUdGGhhMdDjDDwC9XMT6zg+1sbpCXX4HgbZ4KP2vV4Sy715CRgv/M6CzXZ+HDoYl9nEto5pvOhIRfz7TYxdvx7qSzq8sbdn1TDgm2986f1uvVWRPU8ZD/kDRQDbCXSHDVdtZVBlO400GHCmTkIX5QjQ9xSdTiMMhMmg/xkGlki/11MEZoDwD/osBFTuhroSwcKntX3yAjWFRzHmrpdaXa855FfZgrJt8qB8xx5c9tYtLDd9vJDf7n+PqtwSZl/6VKsmXQC7y6DqIIX7ABhyzYz9ql9XJtj2o4m8FY2jVvhDCBXvfuSVktg0Qbyf+abugqEXS7qMDe6/qM7bgR607erhg/J6B1sKq1v1TDYFaRjkLGheZVhbXMF31z5PwcrgibRJCCpbEKq0qQpYCJEIvAGcAJQA90opP2yi3JXucv76j9OklL8dgm56UWbfTYW9gPW/qph/oHIozn/LReFOyfhLNSpaGcczb7OkOEuS0kPQMaovHSK6HfB+HzB4JlZQEyuo7SDJX3VVHTePuBt7Vb0alAUIk0bPE4dzzH3nY7KYWZ1XSWyYmdQDEFz1UEJ0noi0V0Deb95901Kr+KDMpwqK1QwM4O3uxZy3M1UpgqXkka9mY5m7hoUXn4PdpF5JqWnovVMQ//kGxD+QHy9FmEIWGwHYm2pWCJXBBQKf1Tvu8JG/NWtgwgSYNk2V8ZQDte+ZZ9qN9C/zh3eDLhuZAN0nqN9xnZWhvzlcIoQgrlPj0Jb+vxsGeo7rBCP+ZvDbkxr2qtb1WbNGMOHRT7FE7r861IOyuuBJhDQMvr/hBUbcdAr9zj2mxfKlW3ezbfYSsuauxV5eQ8nmXGp2l/HNFTNJG96TMXecFdR5DSkpq3MQF3FwAvabrOGkjTiegpX7tzC0VWqUZhok9/Q9B7oDMn8XxHWSdOgHCKjaDUm9DOLcBFAzAxJylkDW78G9H7rDxuqX72XkrU/tV5/bG1bmVhwQyV/h2izm3vEG5319P7EZPlG7lJLPz/w/avaUIwT8cvvrhCdEccb7dxIe37JdaI1DJ2EvWuC2nlFeABxAKjAU+E4IsVZKubGJsoullOMOZecaIqtqJQYuOnQTZK1UqyBpQM46FXn919eM5jWffiNreAzYPHFcpcoHjJT0iGknjh57Q0MS6Jk0g3BYWPjbJuzVNpx1PkN26TLY/s0y8pdu44wP7iQiIZr1e6oOPwIoBKLXWRhhcbBzNgCJZslVSdWMjbZTqWvsdpoYFO5gQXUEoB6JB7/6hqkLlvDWxHG8M2asV70VrklOHBeP3DkU8fkq5E1XwsvvtRtC0uYIxh71jjuQMTFw+eUIv2dVXnstvPwy4s471b5p0wLrtjPyB7Bt9itBl93+i0bGGJ2IeFTIKWWOypCLpPf58pfy+W9LCfYaFfrF40Cw5CUNe1Xr7kVYYhrH3v8W0endWlWvJdicwUnjFv3rY3L/2Iyjqo6lT33Nurd/5finriapT6dm62hmjcyfVuOoqkMakprdZQCUbs6jOq+UpL6d6DS2HxFJeye0EiisttE9qfWOG8Fi0N/up2DVvP10uhNk/S4o3SEp3AA9JsKOXyGxh6T7OPU8GAbEZUBs58CFgyEhvqtqIyhISeHKeRSu/o3UYZP2o8/tB9V2F6WtWJA0hdKteXx/3fO4bE6EJvji3MeJSoln8hNXYAqzsPWrxTjrHUi3hNFlczDo8tMJiwsus0pLpghtpgIWQkQB5wIPSilrpJSLgG+Ay9uqTy2hxlkKwOApGgkNYpRKo/l38fLcefw9+wdik1Xev/MestChuyAiBsaebyKxo2D4Y/OIffyFg3wFBwj+JNCDJibiWoeLdfmVLMwsYXF2GZXRUc2qU2qLKtny2SIASusc2F3tz8svGGgZkyGiA6Bux/2dKjk+zsY5iXXcmlrNDruF54riVGEBVRERvDVxPI+efWaAYZZDCpxoyJsnIM8dCpGmdkVI2hRB2qN+9dMSLtxt5sEuo6g3K2mMUzPxYpeh3PWv11l53TRF9jwq33aKytxt6La64CtoBtboQI9d4Tb/8lfxeiR+nm17DSAh8ze1nbtMhYyJSmkdyeh+0hVMmfnTASd/ELx1Td9zjka3O5GGREpJ+qjexHdLbbZ86dbdFK7NYsjVU7yTrT8c1fUsfORjKnOKgjp/flXr8zS3BpHJ6fQ9b1rLBVtA4XqN7T+ZqNptYs2HJnSnxsCzwBTmDg1kCbT08XxrGtSVtu5cSgp4H0ZzgXMPM2SW1u530IvVr/xEWJyaFz3P3bH3n8/31z1PwepMsn9dh70i8N1P6tsxqIDjAjBrey/XlhLAPoAupdzmt28tMLGZ8sOEECVAGfAe8LiU8pA+SZqwkLPe4NunnEi35M611/dcYo2A/v3sjJq7mMFxGt9eeirxaYKLH7N636ij/u8HOr35G9zWr914HO4VHps/f0yf7iWBhpQsyS5jl9sNfeWL37P+3flEJscw7sELyVm4ibqSSgqW7/BWFwKi0hIA0ITA7tIJMx+mJqqj/gHL/wP1xY0OXZdSw9slMRS6TIBg1skn4M2u4IcbOlQxLsYOCOTNE6DTuJA3sAfNmSL4BdDe+v5n/Pfc27FpZnKK7SSNPInpS+bwwuiT+SSvHrtmYvGL3/CFppHu37bHJtA//3MbY8fsV4MsKUnurdS+ZiuU7oDEHiiv3r2kdlv3saDrOEnWQqjO1zBcktylAketYOPXslWhX4Zc9yhdJ58XfIVWQnNLn1pC8sAuaGYTmtmE4XCRNrQHJmvj6c5w6lRkF7Lq5R8oWLWTLpMG0fvMMThrbWTPXRtQdtBlk0gb1jOoftp1gxq7i+iwgzfF9jnrBgpWzKUyqymF2b6hvkyw7Sfod2qgiUBDuGyw4s3Wj8+G00HBynl0HH3Cfva07VFYY29Vdo8tX/5JlwmDiEyOZdvXS1j02KdontiXEkxhFnS7k/n3voPh0lkxaw6mMIsSmghIHdqDniePIDw+OqjzGZIWzRDakgBGAw2tmiuBpuTrvwODgF3AQOATwAU83rCgEOJ64HqALl26HMDuQqeovrz0QY7X/g+g33jBnu2S2OTAsC+X585j+Gg76+8/g4KEM8l8VKP3W4s40yLYOPp0kJKB//qGlHXFRK/advjEfPN3+PCoyjzbADNnMm97McW1DpCSyl3FbHj/Nwyni5qCCrZ9vZSTXvo70jB4d/w96DZlpNrt+CH0Pm0UoGxoDlvyB2iaBTn6PmTpRsj6Dmr3eI/9Oz+OIjf5UxCo/MECkFiQONH4vCyKeJPBlR1q3EEidzRxpr8wmiCB8r//hWuvRbz7LoWnX4RmNoMBDs1Edo++fI2DTZ17YddUuCWT00H+t3MCCeDChTB6dGNieUC73roxqnjD4qDb7neqQXwXRfgSe6psIKWZEBmvYrtZo3yT+p61sPErDXsN5C73vW8J3aDzKIMt35mCDvMBoFnCDir5A4iymqm2B7fu73P2WAZcMI78ZduISI5tsszuZdv4ZdqraBYTQgh2fruCvucczXFPXsmfT37Olk//AMAaG4GjqhUheFCBofc3M8jeIIRg/CMfseCB86k+QIGWYzup7CG+c6hvj6TYs0+zwlEXGGz+TsNZG/wz4rLVsvO7t44IAtiSg4UHzlob9WU1LHnyC2r3lNP/gnH0PHUkeYu3krNgPYbLIK57KuHxUUSnJ5L16xqkIdFdLpIGZBDbKYnUod3Z/u3yoGxZPRACIi2mvZZpSwJYAzR8K2OBRlnOpZT+QYTWCyH+BdxNEwRQSvkq8CrAyJEjD6hjdlJtDAmWMkpFPFIKTBY49mIzjjp47y6/h0FKonUbg75cTGScxsYHT2fjgyqNW4+3FoEEqxZO57fV4MK0aYcf+fP3kPSbiCttToqvvweA4f97hFw9AsPpCakgvSpgZ70DqUu6Tx2KNTqcrscd5c0EEBduIcy89we3vUMIgUgeBMmDMJY+5pUGRmqG36pREb8YdKoxIwCnmxgWukyBq8v6Vupb/gpoQAKFm7QZxx/HiJMn0GlZIXmmcKSmUZHakbr1S7lw5a+sP/4yzIZOfH0NA4pzfO/fiBGB3sEHiQS2Zoxy1dfiqAnO+xcEK94WHP+g9Kb7+u0JgcsBk/4hsUQGOkOHx4G9WtDlGIPizWAYkvgM6DZOktQDKnIkNUVQUxjctfc45cog+7nv6BBlDYoACiEYefOpAPQ6dVSz5TKO7U/vM8ewY84yDAmpQ7tz9D/PBaB8RwHCojHh4UvYs2ongy6f3Gw7TSG/ysbwVtVoPTSzhUn//pJ1b/2LXb9+st/tOeuU+tcfhjs3sHTHgwT1OsSkqXzCCd0k5dkQrD1gReYGpKEjtMN3jJdS4grS83funW+yZ/l2NIuJdW/PY+2bcznzo7vQzCoCt8lqxlVnpzCrEGHSkC4DYTYhXTpHXTGZjPEDAehzVusCqXeMDW9RVdyWBHAbYBZC9JZSejLiDgGCkWc3oTQ7eHDWVbPkievoPHw1D9wZzn+fG09xSRRDz4nmg386fQ4dHgjBS11PJq6nhW+W9WHnZXX0nmyFB84g2pxIj9e+8ZVthwbnTaKh5A8CVWXuiThu1iyGV9pAQN+P3qRwwGSknghCYIkIY9TtZ7Do0U/Y9vUSNIuZ7HnrkLqBy+6ieEMOAy4aT6e05m11DksInxj+9rRqPiiNoVz3xOSSVLtfQ+l9pFUA6VeKYtluM1Opm/h7ShWDnbUIy8EzLD8sIQTyf//zkj8A4/zzCfv0Mz6Y/xtLjzuVab0msaEe1h9zFnf9+TXvfTGT3YmpjMzZQnh6mvIWbs47OD6+Td/N2sIclaPNaCEunZCM+JtBTLrqrtOmnD/6nSLpNMJnD+hvAxiZqOz7Bp0l2ZUiSR2sAv6CKjPyKoPMBbBpdnATdY8TLtmPKw0OGfER5FTUBz357g315TXkL93GjjnLkIYkPDGaytwSSjbn8u1VzyonGZPGggfeJ3V4D7487wku+fX/CIuJCKr9GocLQ0q0g/z8CE1jyDUz6Hr8BayYNZ26wpx9bqu+XGP7zwb9TpHexYJmctv9uR8Dz/MTnQbdJxj0OwUWzdKo2BXcOaTuYs+KeXQcPXWf+3k44bj/XMnXF/2X2sIKNLOJcQ9fQmKvdHqdNoqBl0xk3j/epragHICCFTswR4Zx+rvTKVi1nRXPf0fyoK5EJASn9vVAAP1TW/a+bzM9m5SyFvgS+JcQIkoIcSxwJsq+LwBCiJOFEKnu3/2AB4HZh6KfusPOvDtPpnzHWlL6StLS6nnqsZ9567mv6L70G5y1zRjICMET+hS2xGRgl2a2z3eQvU5vnM/3cCB/QEA+3GeeUR//OGtA7ZP/ZetFV5O0YTV9P3qT7xOG8uimRO/1OevsmKwWRt56GnE9UjGcLhAQ2SGWrF9Ws/aNX/j++hewmg5f9W+TaCLHqQlINzkRAXEBwX9tk2xx8XVFFD9VRXBZZgo19bWHoreHF6REXnllwC7x6Wd8UmNm7ajx3NprElKou4wQPHP0maREmJm4cy2RYRbk4MHIW27xhTFauVJ9exxDHn74UF9RACoyN6hYUy1BCqryhTdYsyUKirYqG0Dpt1z29/4Ni4XJ9xigQbfxKnyM4VLSHiGU6njT7ODeRWEyE56Qsm8X2QqkxYZjasGwvSlUZhex9s25AfvWvzOPBQ+85zW+t5XVkNinIx0GdWXYDSciTBqGU0ezmKjMLkbqBt9c9hRz73gjqEDPJiGoc+xbQOl9QXy3AUyZ+RNTnptHl4nnEpnSueVKTcASITEMKM8BGoQG8qqE3anleh6nfo+9wWDyfTrmIFPDrX7pHhw1FfvUv/aAYJwwPLBEhmErV88WKJXwqpd/ZPMnC1nw0Ade8ufBoMsnk/v7Rmp2l1O+Yw+rXvye7d8u99OktQwJxIa3LN9r6zAwNwFvAkVAKfB3KeVGIUQXYBMwQEqZAxwPvC2EiAYKgfeBfx+KDq5/5zHslUr9VrgJOo8EzaLCuOwuiEGTOnqzPFpguB8U4dIZcfU7mMq3BBbxc55o95gxI3A0aBBnre7RJ0BA8obVbDjzMl75wwwiMLDzVxc8Sbfjh1BfUgWaQLoM6kurvYNw+Y58dpXW0vcApFJqD5C6A2ryAah0CWYWxtHZ6mJ9fRgVhr8tIHjInwUDJxrlLhMOqZ4tXUqKnbJJA9m/LKREXncd2gcfYBx/HMYFF7D1rY8ZOG8eYvB4rjv6zEbvlUvT+DitP5cCUfl5iO/d6RD8bXA9auX4+EN6OQ1RvmMt6995LOjy2X8I+pwgvd6+W78XDDpHEh6H9zHzlwCCW63nd4tMFkUCCzdAUi8gSEVLWHyHoPu5P9CEYFBaDKt2VwblgWm4dEq37mbTJwvJ+mk1aSN6Ep2WQFRqPPbK2kZuxfmLt/LuMf+g7/nHeidcw6VjK1Nqnpr8MgZfcVzQBKClTAwHA5FJ6Qy9QaXeMwyD3x84n6rsTUHV7XKM8iDXNEjsCo5avKYD/k4hUqoUcXGd1YLBZIWd83wZZ1qC4XSw9rWHGDW9fXvg7w1Ws4YjiGgVmtnECc/dQNrwHmT9upacBRvJmb8el63pEDJrXvmR8MRobGVq7tz65WL2rNxB96lD0QhOGq8BmwqqOapjXIvl2gxSyjIp5VlSyigpZRdPEGgpZY6UMtpN/pBS3iWlTHWX6yGlfEhKedDzhkkpyVnwhXc7d7mgard6OXb9AX26FmMRLkzChVm46JheS78xgSw9Ml69OIOrshlT7nZ4njZNGeE0lamgvcMz8M2YodRmTz/tvY4OsRH0/ehNtl58DesffIwHB1ZweRMhHfes2K4Mqv3UOEITmMKtpI3oRanNdUBTKbUlpL0KUIOEVYNF1eGsr7cCUC819/zjcwgZFmbjnMRazomv4YyEWiKEQZRm0CvaTNeEQzPJHhaQEnnzzYg33vCSP4Tguyln8+Hg8VyyfiF3LZ7d5HsVdc4ZhD10f+BO/0WYhwQ+/LB6N9sgr7WjppIlT96AEYz0z43oDpLi7b5YfnGdoKYIj6UBVfmwe7WvvGdCr8zFS4SEBus/g1XvmZj/ePDTQ2LvoUGX3V/0To7GGqQUsHTrbr698hkyf1ylno+rn2XpU18DMO6hi9CaMJIPi49i04cLfDv8HyFN0PPkEUGdW8I+SSsPJDRNI31E8LaLmknS2R2OVkpF/sD3rNRXwJ516nf+WvW86E71XZkX/LVKw0Xh2oWUbl7eiqtpXzBaYYaQPrIX+cu2o9tc5CzYgMvefPzA6I6JXPDtQwiT5n0+T3n1FsxhwQcWN4BtJTUtLkDaWgLYrlGdt1MRNSAm1eCYmyUm938w4AzoPdVO1b1zyKtPI8FSRZK1ktXb+5LcYTAjzo9g2WyD4642Mfnj7+n77qLGJ2gulEV7h38cNlAk0M8Ga9WdDzHsf4/Qb8HX5NCrUWgbe2VgXCNpSKyxEYy+7Qx6nqJGH12C+TC4FS2iaJX3Z4QmeaxzGZdmpuKbVQIlgLEWg0/LorEKSc8wFx/1LKJUNzE2yoHY/hmy64mI8PhDeAHtEG57VPHSSxhTjsd53nk8kWNnYaVOmQvMx5wFwCXrVe7c/x1zlvf5ixCQVePk/k3ZLL3yUY7O3cq/5n+I5fbbG5tj+Ge4OcThmda9OQOXvRWx/4CBZ0tvui5rFAy5WJK1CBa/qOGsg6RekoL1gphUg11/CtIGS1x2WPmOxqhrDXKXqkwhnkfSZQvuek3WcJIHHrq0eUIIuiZEsq2kZZOIDgO7MOFfl/L7jA8xXDrxPVKZ9JgKNVueVdBkzt+6oqadbiY8eikFq3bisjmwRIY1WcYfhiGJaMEL81CgaP2fQZfNXmii91Qda1RjiZ9nO6mHMkvtPBwq8+DPFwQZo5XdaWtgOGysfeNhJv9nzmHpEBJs+jfDpeOyO5l7xxuYwy1Ed0ykYseeJsuaIqzUlVVTvGEX0jCI755OfWk1ZdvziWzGk705SAn5lTY6xzdvsxoigHtB9e7tvg0tMGgqqFV2l8F2upl2UbBOrZaHxW5lGFvhB+jTM4WBr1TSc/ZaAGw3X0O4KapJ54nDigQ2DMGxYEHA4RMvOYXEbRv5kl68xJCgrmfMHWfRfepQb6wuUzu/BcFASgPyA4n/3MoIGoez9W0vqIkABHYp2Gyz0MnqYpDZLezesxRZvAaG3Y6IOsIcZVoDtz2qccJUjHPP5dV8B7NLfRO5LoQifUC1NSLg+as3JOFr1/J9xwHYLFYW9DyKb3dv52yPzd8zz6jvINMbHgxU5mxlz4pfka7WKTkapXIzoCoXEroZZM7XqN6jxqjf/6cm211+vGD5a2pfwbrW91dKSccxJ7W+4n4gsomYfs2hJr8Mc7gV3eZQKbXMGi67kzmXzQw6srQp3ELqkO70OiX4bE3RYaaD7gDSEqSUVOVsa7mgG5rFwBoZaCrgTwLDY33OILGdVDo4w6Gxqwn5RjCoyc9iwX3ncswD72CN3ru6sj3BpRvBPjrMv/ddds1TL5ZudzYSgPhDr3cgzBo/XP8CpjAzlbuKMJw6zhob9aXV1BZVkNw/o9n6AX00JIU1eyeAR5i1/YGFMPtErjWFgpqCwLhI0R1g2MWSwedJwmIlmsXvkTAkA79aT8/ZaynrlkjljRcT/txrTTpPeBPXt7HHYavgybXq8ZocOpTMoirK+gwkcdtGyvoMYP55f290PeaowJVzmDuf4Z+Pf86cvz2D4dKJtmqtMrJtt7CVg0vFDsu2mxm4vjPvlMa08NK59XVIzAJchmCnzTPZGeCqR657WZHLvzJmzMA4/3wQgl8qAqU4HoeP/x1zFq+M8iMmUnLXn1+TtnsXTpOaxQyTmdqBg9TxZ5+F229XnzYifwBrXnmg1eQPYOsPvn4KodRyR10I/U+F1IFgiTzwZhXCZCZ91JRDPnlbglwh6g4XdaVVJPfLwHAZJA/IYOWL36OZNE5/5/ZG5T3B6D3QrGYVoNfm5I9/f8aKF77DWR+cWj4x0hpUuYMJqTvRg5Qkj71R5+THVQihpoYXIRT5838dijYJ4jJ8jmyxnSRhMa17zqp372DhwxfhrGsUAa7doirIWJQAzprWxY+UhsQcGYbuPsdRVx1PtylDWPvGL8y/551WtVVcs/dUdUERQCHE+UIIuxCiq9++WUKInR7v3CMRib19UZykISjNbFzGFK4ygkydYTDqGvXWRCYYDFxdRM9t5ezsk8Cf4ztTe+XffO53HsLXkAS2ga3RPsOda9U/dEaPlFg3+RtI4rZNnL3qK5AS4baDMUeF4ar1GzwFXlWKbndSvbuUqtwShnZKaHy+wxGG2zgG6Gp1cU96BSYBBgJLo0hGAg/509zHPupRyPtl0dyQnYyU8HpRNBfv7MDruyWy7MAEfj2sYVUTbK/wZoYx90ylASY3+btk/UKcmolwswkz0ClMcOqJRyNvuEHVefZZ9Wmj2Jw7f3iHyqwNLRdsApW5NEpJqZmUFcvIqwymPmKgmSWmMIk1+sCQQc1sZcAldx+QtlqDYFWrmlmjencZe1YobU7Byp1U5RQjTBq6vTHJdlQHTtbRHRO95fKXbKVg1U60IGOUtod85iqLRHDP8PovlKmAZvZaPgG+acvbplTPWV0p2Gth/HSDWHeK5eGXGfSe2rrFqdR16ovzWT5z2mFh+213Gfy+syTo8ic8f6N3DmwSnkOeMlKi251EpsahWcyUbt3N+xPvZfMXf1BbUMG74/7Jkqe+Curc9S14DgcrAfwcWA88ACCEuAu4GDhJSlkYZBuHHYrWBKo2C9drFG4MFI0L4X5hXBCdAmmDDSb8QxLWUWNnnwQ2Dk/BcDnY8pmft5M/CfRI/Q4niZd/TEBP6Aw//PTh92y9+BqOy1zEjKFVjLzlNMyRivxFd0z0PvCaxUx4fJTX0FVogs5dk8jYi8j6sEJYvDd+mxCQYNZxSkGiSceJIFro7jAwPggkd6VWAJKLd6byanEsuQ4zIzZ25H8F8SyvDWdWQRQ/tcKu50iF6N0bNI37uoYxJEoQLuCsxMZDWt8IwT8yLNRYI/hw8HieG3MqT/YI46ejIvm4fwQxmmyc27oNwjNV5mxl80dPt6pOWIyk2zg14bpsgl1/EKDW9ORt9cRx6zTCYOjFBsMuM1AZaPYdmjWcwX+7j4jEQy8DsJi0oPyThaYx4ZFLlGe0SUNogvEPXYQQgrhuqYx/5BKG33wKHY/pB0BEojvemvu/7zS2H8KseUnfpP+7HJOlZfWzAMLbQTYjzWxFBOnJXVeqMnzYq5WNnyeeZENOlrtMOX5EJsHoa5XE8NhpBqf+TycyCbocDSc+ppM6KPjny3A5KN+xltyF37RcuI2xdFcZtlbkqnfW2kAI4nulY4kMw+K/MBACS2QY3U8YSlI/d9geCSlHdeP8rx/gvK/uY8Qtp9Jl4iA0TcNw6USlxnPUFccFde6WzBSDMqSQUkohxH3Ad0KIncD9wHFSyu1CiAxU7L4UwAk8IqX8MqjetWPoDhslqx/ihEd1XHZY+4mg91RJREKgXQS4xwqTiqw/4kp1oMObidgrJRGvSerLBDV7srGVF/liZbWjXKOthn9MQE8QXT8Mf+pfrLrzIQCM0nqWPzvHe6wmv8z723C4KNmcS8b4gVgiwxh8xXF0To0/FFdwSCDM4cjkQVC8BoB+4U4uS6rm/dIYTEi3F7Dn/1dp4CI0yVOFCYDACd4gbga+ed1pCLJr9mJxfTjkkz4A0AYNRt+yhXizwWt9lbtigcPg67J6zKhckQCb6yWb81ww6iT+3cXMxfXqnsZ4vIySOyDuvTew8UMcnsnQXax45nYM195VNj6osajr0QY9JkPJdkmnEQZJfZTQ2dAbB+4FGHKh+5GScMqTBpvmKMP/1kKYLWSMP5OMiee0uu6BQLQ1+D7X7Ckj5ahuDLl6Kmte+4magnISeqZjjQ6n+5QhfHTCw2qSBqpy3ZId9wC/+ePfMUdYmfDopWx8/zeq80qITm9ZQ2HSBNGtsFM8WBCaRkSHTkEFh5YGbPkOBqikVRg6WMIDbUvry6HTcCX0ALC4TWw1AfYqFVvScEHRZije0vy5moJur2fDO4/SaexJmKwtO9m0BXIr6imobl0O4LDYSC6d/xgq36+Z7697ntLNecoBSUqctXayfl4DQPKgLgy8aAJlW3djspqJTI71fnSnjjnCCkIQ2SE4kwtzC17oQT+hUsqfhRDLgf8DTpdSevy3XcDtUso1QogUYKUQ4kcpZetc2NoaDSbN/KXfMPhcOyaL8qgberFBeKxoFBarqYTZQii1sClZMPAsyYo3AWlQV5IfGCz1cJ6kZ8xQeoI77gi0l5o+nb5uh5ZVdz4EmkZX4y12/eqzLu9z9li2fb1E/T5zLOMevNB7zKEfWbZtovvJyJL1IHV6hbu4v2MFZS6NnysjMYD+4Q7Oja8hwiTJrLfwYXk0eiPVsCTRbFDhEhgOJ5qUnJrRTA5Zj3Q2Pv7wMikIBg3eURETgzb1BPbM+Z55ZU46WWFYtIlHu1pZXaMzu1SnoQLkvhwXnSyS6RnuVbhhYJozB954w/cMe2wAQS1wmgjkfaBRsHIetoqioMvHpMOEuwyvvdakfxoq+4d73vRkb4BAu2Xv7XNrLlL6gWY2yPxNgAxyPBKCbsdfxKAr7m0zW90IiwlNqGgBLSG5fwanvXkbABnjBgQcM4dbOeX1W5h98f+8+3qdNood3y5HuFN1XTb/32gWE90mHxV0/wwpiQkiEO+hQGLvIUFmBxFkLzRRUygZc4OBZlKSvtzlKs6fywbh8ZA20F1aBJJDp00RQs0MtkowXK1/NqSU5C/9kYzxZ7a67sGGlJLVuyvQ90FNvfmTheQt3sqpr93CUVceT31pNRs//p3KzEAFasmGHBY88D5nfnRXwP6OY/vS9bghRKcnkLcouJiOALFhe38Gg35ChRDHoVK1CVQwZgCklHuAPe7fRUKIciAZ2Pd8NIcaM2aosCZ+K/7KrPWkd/cVicCApyrg7iQgcFD1h79qWJggdQBoFonhFDhrqw76pRwyeGwAGxjLy6efZntxDX0/fANpGHw57GyK1mYHVK0prCAyJY66wkpKt+QFHKtrRbTzwwEiMhXZ4zTYORsAiwCnFFg1iRkIFwavlMRRrQvSLDrf9t7D8ds6emoDkn93KqXEZebixBq2f7yJfh8vJG77+fDS+Y2Nc9owdMlBRRPvKEBtYjKXbaqjTpeYdRfXVGTSe/RgvizV8YTZ9n9Fb1j+IyeFO2HQhWhz5iDWrkPk5vqeYQ/GjPF5uJ9xBjzyyEG9vB3fvIZuC37NXL1HsPo9wdBLJJpZ/dXmsMC/u0lNRYP9Kf1Bd0mQQZJcoTHq9lmkj5oSdF8PBoQQpMSEs6eqlbFHGqB4wy6yflkbsK+upJKwhCgc1TY0TVC9p4y4Lq2LwZkQYWlzD2APOh97OvlLfw4+pqR72KgpVo6OVbsFA8+WVORA9iJBck+JJcL3DOWvgso96l3bvVIjPM4XP7C10G117Pz+7XZJAEtqHdhbofoFKFqXzerXfqJ4/S4ctTZ+/PtLpI3qxfavl+Kqb1ra3/mY/iT0SAvY12lMX+/v1uQEbslXOVgnkCGotG23Al8DjzdTbiRgAXKD7mFbwz+mnV9AZmmEseV7gaGDYZOIGwugykAa0rvq8TeUlYZaIXn2eQxl7TXKFwBNwxLVujg+7RYNiYbfpOwwYOWdD7P14mvo98lbDPrXvdQXV/rqaoL8P7dQV6j2lW7J4+OTZ3iNf0trgw98e7hAdJ4IZt+IeHWHan7pu4e5/fbQJUynzKVhkxoFThM37PJMNB7qInhwdxJnJdSRYJGMvqwfcSf3RbzybmAA8b38J4c9mnlHAbYtXoXLkDgl1GtmvjYncdt2Gxqg0yDKh5TEOOrp+sd8tE8+QaxZo8jf0KG+rDbTpysnkDFjYMgQ5eT0zTeBL/sBhr2qnMqc1jv1WKLct2aX29RU+iQy/vB4dNZXqG9Dd5NAQ6nrVr8XrIRTMPae19uc/HnQLyW6RRXX3lC6bTebP/+DDe/PD9hftDYbe3kt0qWjO1x8cfa/yV8WfCgVsyaCysN6qNBh8LGYw4NnZNUF8OfzGr89rpG/Bo46XxmqJHSFYZdIzOGBz1j6ELBGws55JmyVgoocQfEW3//ScaiB0IKXmlXv3omhB+9le6iQVVbX6hzUkSlx1OSXKbJnSApW72TVC99TW1SBrarpOJbJA7sE7WjUEsrqnHsNBt3im+/2/P0eeFpK+SbwMDBVCDGpQbkk4F3gGnk4uPJ40JRXrpQkDRhN9h/h7DqhBFPPHTg6WqmdlhyoggJ2/AouOxSsh3n/FkgdirepQbYqX71IIBCamdjOvdvsMg8o/G0AGxANp0vNLu92nMSVCRewLGVQIBFp4gUae/c5XlXSAcjx3u4ghAa9z1M5BIFRUQ5SLQaJZoMhkQ4sbmN8pxSUugLTwwkkOoIrMjtwc3YiNqkhb56APHdoICE6UskfNPuOSl2n246NaE4HmqETbrhI76jeUQ9dOyVB8w5y8SbBghPOQT/uOLR588FsQfbtq0je9Ok+1e+0aarC2rWKHJ5xxkFVA1dmbcRkCd7mKb6LZODZOgXrBb89ofHHsxpZvwtc7rWTv4SvphBKs8BZD/MeExRtUb9dduXBWVsCES2btKl2TSYSeg5q5dUdPKRGhxG2H44Wfz72GbX55UR3SgzYHyCZcRvkp4/sFXS7JiHoFNd+HNmEptH/ojuDLm+vFpRlCkCw6l0TJdvxBimoLQ2UJCOVyrf7BDj6Zp3kvoEanKhkyfArJIk9gu+vyWylevfO4CscIhS3Ujjx+8Mf4qyx0efMMd6A40n9O2OJCsNw6kgJ3aYMCTAr6zxuAMkDfXH+Mn9aRcFqX/iRypxidEfryHH1XkLW7FUFLIRIBH4EvpVS/gtASrlBCPEZSgp4tLtcGPAV8LiU8vBzT2wY2BhI++9/6L80j55bVSiXnbHJxH8Pwy9TxZa9CRkjwBIhsISriPq9p0q2fAe7FmvejCHOOgFC0PmYUzFHRLXBxR0kNMwL7EZBjZ38ZdtZ9dIPuOoNdle03FTK4K7e3+Yjibj4QUsdjmE4YfvngABDTTIXJ9Wwsd7C4ppwrEKS7fB/JX0+wtkOC5UujTnlkZyVWIvl5gkgNMSsWT57tSOR/HnQxDsqb7mFhM8+4f3la5g99VwWZfRjeU3gCuLncp8SpMqAgdEmMs84j54CtF/nIa+5Bk48UUn9wEf+nn3W5+R0kG0AK3O2oDtaVmWawiQp/aDLGIOk3lCeJakpFtSXC3b8AtmLJOPvgLBo2DQHopKUR2fPyUoT0es4JcX5/SlVJzIJ6kqCf1asMQlYItuPZEsIwdFdE5m/ozgoW0AP1r41l1Uv/YBEBmVE2PHovohWPANdEyLajfrXgy6TzmHLZ7OwVxS3um50irIDTOkLUW4FhZcE+nmYJ3aHEVfAzw8qz+DjHzIIj1PCkLF/N9Ad8MsMDb2lfMGawFZWSFyXvnsvd4hRE2Tsv6L12VRmF7Hj2+U46+yYwi0Mvf5EagvK2f7tcp+UQzfInqvMD0xhZnS7C0ukFUdVHY4aG7UF5SyfNYeo9ASOvfd8ojsn8cP1z3PUVVMYcOH4oPtdVte8Y5nYX2GdUKKbD4GtUsoZ+9XYAcbIkSPlihUrgq/gL0lxY2efBLaN78CoayWJ3XzFvEavfh7d0lBGs9UF8McsJflDaITFJjDxia8Jj0s+INfVnrFmdwXfvDGPxU9+0ayNgz+EWePEF26k40ifdPScwR33a2XfniFdNmThCijfDlKH0o14FJVb6y2cut3f9sP/3RSECQMNGB9j48VupSAl2nF+4YVaEfPrsEUT76hx/HF8MflsHs8LjOvm7wnsQawJXukTQc9wgfbpp2i/zmv6PK0g00KIlVLK4FNE+GHkyJHy3TsvZsec11ssG9tRcuw0A2HCK3nJWgQbvzTRY7JOv1MCnT8aZRuUasIu3gbVe2DzHA1pBPu8CDodcwojbvlfy0UPMVbmlbOjpDZo7YGzzs7c6a+zZ9XOoFQO3U8YyuTH/9aqPk3p3YEO0e3Lk7V060r+eOSyVtczWSW6QyA0yZQZBmHuSDkNw6E565UTSOlOqMiB/DUax95qeG1Ul72mBaiGm4M5IprhN/+HtOGTW93XgwVDSj5Zszuosr/d/z6ZP65EmBQ7NkdYOfH5G/j5ttdxVLVs5zv8plPQHU7Wvv4LJqsZiYqYERYfhaOqDpPVQlRaPBP/77KgsoIMSovlqI5xTY5RB2KWPRa4EDhLCLHG/Rl8ANo99PCXMrixcXgKUhdYIgPtHgx3XA7p9xGaMsSO7QTWaBBmK4l9hzHhsS/+EuTP5tTJq7TRZeIgwuKjsESGqZdgL5C6gWY2YSuv8e5buqv0YHe1zSDM4WidxqENugpt8LWQ0Md7rFLXGBBmp+HMPTWmDpDYpUa91JhXpSywxQu/BzbewD7uiEQT76hxwQWcnWLlvORAhUZT6/WTE81Em1Q7xgUXNH+eQyhJDVa6VJUvWPORu6yAilzY+KXm2fTEHPd2u7ZM7fOX1gB06ANhMTSZ7aE5aNYwepx0RfAVDiGGdYpvVcgVS2QYUqDSTgax0AxPjKEyp3WSs7nbi8mval0GiIONpL4j6HDUuFbX0x3qAZKGWjjozkDyV5mnpHxmtzAksQc4apT0WTMr21MhlI18sLBERLe6nwcTrRkJJv7fpcR0TkYIgZRw3H+uIuWo7pz80t9brBueEE3H0X0YfsNJdJ08GN2pIw2DnqeMQOrKB8EwDBJ6pRPfLbj4m/peXvT9JoBSykVSSk1KOdTvs35/220TeKQLfhi4qgiXDcqzAm0fhFCrHf9taShi6KxTn8lPzmbcQ++3SaDUQ416p86PWwuptrtw1tkZfdsZjP3HuXQYpMKVJPbp2HRFCd9f8xxLn/rau2t3lZ2C/fTuO1wgup7o/T062s5rPTwR5iUgOSe+lhFRTvqEOTG7s4S4JOye+QfiizXIc4dizJuGPH9Mk04SRxyaeEe1Tz8FKdlWb9DJCgMiBTHNjGyfFLv4qkTNYNqnnzZ/nkN4H8MTUtCCtAGMTpPUl0PuUhWI14P8NVojvhrtXnP6+wkZuhqnNnzh1lAEicgOnYjv2T7X9ZoQRFhaN5Xp9Q6GXDWFUdNU0LvwxOhmifjmjxfy9cX/xV7dOkK3YGcpxTXty6ltxC3/xbzP5Eqw5CUTde71uZTKiShrgWDV+yJgfrRGQ0yaZOW78OujGste16gra75lf+gOGzEZfVoueAghhAja4UjqBnXFFfQ7/1iiUuOoyCwAoHjjLsyRVjImDGw2M4itvIZf734TqUtq8suI755CeEI0hstQAhVNYDhcdBrbT8UEDAKWvSww20egovYAP9VS/WUXMt+yg75/ZNJzWzndx0uMEclIKTyOmQGib8+3oUPOUsicr1QrUanNxGo7ArEspxyb06A8s4A5f3sGpAxQAZdty99r/Yb5NdftqSIttu1TKR10RPlUvsVOjbO3+S8WBF9WRAGC+9LLeXxPPEjJfbO/JWP+SuZNHcukm0er8Dt/HwNhMcomEI5MW8AGzi6u4cPQ3n0X7dd5rAlPQPYdR5kTnu1l5cJNjSdeAYyI1rghzeJV/xrnnovWqVNjG8BDeB/jug9EM1uCCtOx81fBjl8E0hBsmqOY3eT7dSITG4d8aWiiKwRs/1WQ2F0SHq9UdkFBMzH8pifbLOZfMKi0BZc7edeCDRStzaJ4Uy5lO/agu+s5qupV2rRmIITYJ0/wuduLOXdwR6ztxKTFGv3/7Z1neBTX2YbvM7NFvVd6F72DAZtiwLjbuIAN7iV27MTdceI4trHjOPkSV5wEN4jjGneMC7jQMR1M71UI9d5WW2bO92N2VyshoZUQSMDc18Ulaefs7Jlh9swz57zv88Yw/OF/survdyHdwZqOVzNgmlYjDlCxwMAbDIsYZ7kRfyoldBkLHUZKlvxVASnIDd66DltE9CmvLR0MMaFW8isaPmeKRWX6wuewhtoZ9sDl/tdzNx/E43DR+YJBWELsHPxh47FvFoLJHz6CYlUZ89yNRLdPRHO5cRSWs+vTn+l1/Wiy1u0lJDa4fAKLIogKsdbf16D2cqZT68ZS9si9IATbByexPy0WZXYx4ul8f0h+bfHn28XSfwi2f6HiKDIGyqomBNyejlS6NbLLqpDA4YVb8Dhcdcb/XfzmvYTE1f30mb89nZ8enk1FbjEABZUujhSdXl7iTUJzAQoFHoVIRWdynM8aQAT8lDyfFUu40PnTl/O4c/Ey3hl7Hh9cf0mNaWl5Rz/kb+46M2cCa31H9SefBKcTfepUdl9wCb9NGcrWSolDl1yzw1mnWasEtldoqJ9+aoi/8eMREeHVtX/vv7+mEDxF5zG6Y8+gK4DoHuGP2zOC6QUb3lHQPcf6/NXI1gQyt8CeBQpr3lAoywpezEV36kVM5z5Bt28JgrXncJc72PbeEtClX/wB6B4Ne3Q4fW+pu8SWp8rFkj+9z775G+rcfjwW7Wtd94GEPufQ9eLGxTTGdZH0uFjnwFLF7xMI1T9j2hviT3N7QwuEEeLc6K+OaqHtqEsb+aZTQ0qknWBdh6yhxoy+arVwZPkO3hv7OPu+3QASlj35ft3iD0BK8rcb3rixXVJQrCrW8BCi2icw/OEriWwTR48rz6HDmOCy8aWEuDBTANZPHRYaYSkd0TW3IQIHJVEwMQZ1TjH64/m4ymUN0QfGNDhAcm9Jx3N14roYG9KXfNYCB3TqyS1z+rPenGWV9X7r985bR1Vx3d5HjsJyNKcbe2S1X9WKQ4Xsyi1r/g63InRLKA8djuG8nW0YvrMtSRbv6HmMgafEKQWloaG8M/Y8nr3qChaXh3LbgQS+L/ZZTujIBy+tWWP6TKD2dzQ6GvG73/lVzuaxF6MHBsBJySMr53L3ugU1dhOKZMHOb/ziDyTiv+8a+3zlFePfAw+cchGo2kJIGTK+OkivkThLQbWCo8Q4/LKcmg+nvtyg8AToNlFj5G8aOZN1GjxIBDs51/mCQfWufCs2lZzNB+veKCFvWzpR7eLr3n4cihxu5u/MJrPEwenkkAZgCZEk95WkXazTdZwkPF7icdVhMO49p6rVEIFCGBW0Rv1WJ+1SDUUN7rgFgs6TGp+ociroEt80F4/kQV2Ctm4Z+/zNtB3RfNnPdotCmLV+T0FTANbhaReR0pFIn2efEGwbmETGkFiyDimU5hhXeklGrVR4DfpMhj6TJcN/pdNlrE7h7l9a5JBONbqsFsVDf3sZif07BZwcsITasMeEsy8wBd6Ht5nUdLpcNJjCfVk1Nv9ytIT1R4IMHjkN2Zt1gJ9KQ3FLQaWu8GJ2NKrfxU4SmBDiRvDqxZN49qorvWJBsKI8hKrAU1pVYFzHZ1IZuNq1p0tKEP/5jz/2b2KcFcVqxepxY9E8XLFrDdO3LifS5ahxp3Ig2E0IR0efj37dVAgLR58ypXqZN9BvMDa2WhCeAjHd9dLbUa3BxfTUxuOEje8LFj0nKDhgJKIZpbgMYaQoxqxMVCqkXQSxnaD/VI12w4NTTRXZh5vUr1NKkP89qs1CdKekmi963+ssc5C3qR4BCIQlRGKLCG10LCBAcZWHnw8V8s2O7OPacpwqCnaua7gRxjUz5Bad2E6AgKG3SSML3Utt43EpazpjRCQZs4PBCvTY7gMIT244s7UlCLdZSAxvfGa3q8wRtI/k9g8Ws/PTFWjuEzfCVgX0So44buiGKQDBuFnWivXpEjBFXpEvyLgykZDn4onrCNnbjKccMLKdhPCKQN2wYbDYocMI2SjvqNOZSLvFf+o8DiflmYVGkL1VJaJtHEPvu4zwpOg6b6KKxULfWycAsP1/y/nm1lco8gbN+tibX8na9DNTBIZXHPbLPQWJKqS3FrBxriJF7dJ4wrvJEIfnRji5MjbghuSrzn6m4fuOKgq8/DLy/vtRFi5i3oKV3L7bQYwF3IrKrduWMWPpJ3zYbzQvjJp8zLm4q+cFfD/BeF2/4nL0a64+NlDOJ6ADfz/JxHbtR9KA0U2aBdRcgqoiQefzIL6L8XBanof/+cF38w1cGm43DAjypqx7gouva0mCtoCpqGLoby8D8AfRX/7Og8T3bIulnkzi1OHdiWgTR0l6HgvuncW6V+c1qY8eXVLu0vhpTy5bs0pabDawPOsgxfuDy9MsPCjY+pnx/fCVh7NYq68ll9e8oXb4QeAq2cZ3jTjAYOh22e2NOpZTTf/U4Kt5SSnRPRorn/+U3C2HQBHYIr2rNfW4Y+RvP8LOz35uFu2gKILOcceftTSTQHzUulEoFqtf1UW3g6G3S/9kTGq/6gvc5i3HVLAPEnrgL69UfMRCYr9Rp/ggWoaEcBtWVcGja2x8fYHf0kVRFXpcfg62yNB6k0B0t4dt7ywEoNBbF3jeTS9hiwjhum+f9pfE2V9QSZe4cBJambfWidK2YidPtSlmZk4U4Yok01WzEkiZrF3R1vjZzeamTFdw1NCHCiJp8KnpeEsQcJcRr7zC/qO5/COmN06nxCLgwpIj3LvqGw6MGscL/S6vVwhvrgy48brqmI2pLQhPAVJKpNQb583iQ0gG3aQTGmO8PbmP8TNQS+bthoRuIFRjW+lRyFgf3E1GKM1Tlupk0Rgh9dMjc8hatxehKnh8CSCVTooP5qI56xa6WWv3+r+Clbkl7P1qDfu/28DY52+i07jGZ0ZrEnbmluPy6AxuF3NKk2uklGx47dHjJrzUJjJFUllgVJVJ7Il/eBLCaydUe1FHGKHNlYVG2/AEwxcwGKI79gy6X6caTZesPVIUdPsD8zey9Mn3jT8UAbqk6yVD6Xn1SFb+32fkbDxQ5/vKjxZSVVhGWGLTE2FURTCiQxzWBmzYzo4pqiZQsGMtSB3FKkkdqFNVgnG2aiV+CMWYDVzzpsKqWYL0NUam3bYvrbQfc1VLHsIpQwjBkHbRqELgrnRWDy6KQnyv9nS9eAgdx/ev871qmI3w5Jgar2lVbhz5ZeyZu5ryrOqZv3UZwX/5Wi21R8uqQq6Lr+Dn3lmk2jxUyUCxJ7AhUX2p516ujqng27Qcvuyew8fdAwPMdWR015N8AK0D6XZTMHU6qneA80goK6tEnzCeiOnXMTraeL1DrVVVq4C/dAlYowppHZnmOz9+hewN9ZhSN4Bi8T6IevWjEMZKRKCuyFgn2P09ZKw3lov12hPLxyHkDLKxGv/3WwlPjjH8R1WF0c9Mp+3wHlz+zoP1vqfntFpVF4RAc7rZ8p+f6o8ZbABNl+wvrGRvfnnDjZuR4v1bKM86yLExxvWze77C0r8rZGxQUAKmjOpa/pW64f+38DnB6lmCpf+nUpwevMC1RTU+xvJUselo8XHLqtUmb3tA6IR3ijqhZztiu6XSdkRPrBEhRHU41h/4nMeuPjHxJwTtokNoF9NwOUJTANaBlJKcX5YA0ONCnfbDICzOGFBLs6qDqn3T3bm7ACko3Kew9VOVA4vt9LnxT60ylf1k0T4mjGHtYxjyq0mExkUiVIXk/p1oe04PhBDobg+iDisErdJFRU4xSh3LLyv/+hkLf/cff8xNscPT6GLcrYoZM2omFNQSg3M65fHMl1/xwPwfvNt1XAjvkjBEKJJ2Vg9rK+z84Ugc5+9KPfYzsladxANoHUiXC23uXPqXZNM90kaI20Woy8ld63+g9JopaMDuSomCIfh8+Oax7IH3ow4dT13H66Fo3xb2fTO7SckW59ytcdFf9OpAfAGap+auPE7jpnxkjcLmj1SyNimsfC34Wb34tEGN7tepRAgRfHZmmJ2qonK/L6m7wvAb1VzG7J8t6tib5q6PltfQS1IzHnDzt6Wz4N5ZHFm5s0n91nTJpqOlQZcYaw72ffsfNFfjvAl9RtAeB+wzFmvqvFSFgIwNhgegNUwycYYkqXfjZrSL9m5qVPuTjZSSvHInP+7JYU8jqs0ADPr1xdhjqpdgbVGhdLl4MOVZhUhd4i6vIq5HW/92xaKAAPU4SRsNoSqC5Eg7IzrGNdwYcwnYoJZhliM/E2ep4XYZ3RbUgFmE6La132xMjY+8T6PoEOz+VqB7PDgKc09yp1sfnePDufni/py79WUOZ5dQrAuk97wO+c2ljPzDNXw57QXc5VXHBO3o3iwpX01EH6rdajj2S4kQApdHx2Kr4wtSR13iVoWUUFxc7S8XHQ0lJTAtmUPlDv6SGY1rfyF/2baDhX17g67x5NxvKA0N4aPLJ3B3YgnvFkSR7VJxIsgotgCC4dvbMDjMyeudve6sRxZD28a7/Z9O6KtWQmkJFqnz1qZ5ZK7bQpyjjAi3k6/e+JBnRkz2Xwv7A+51GjAkXKmx5Kb2aXl7k3WvPkijpuQCyPxFENdVolqqVySUgFUKIaAiD/pdK1GtkrVvKZRlB/89UWwhTaoecaqJCrFS7Gg4VlGxqEx67W5SBneh7GgBisW4BUZ3SubSOfez75t1HPxpc70luxSriu6u/r8SioItvOmzyLqUrEkvZEL3pIYbnyBSSnI3r2hUmIFQJVITJPWCobfplGVXD7W+r5HUYdP/oPNoI2lECBj7O+PnkFskzjKNn18VOMsanm8q2LmOhN7Dm3qIzYrDrbH6UAE55a5GzJdWY48MxRYegu7R8FS6SOzbib3z1rDyb5/773++WsAAukfHFhlKfFodIiMIVAE9EsLp3yY66FrUpgB8+mnjRhyQBKI5HagWld6XaYTFg3RLhC4RdgXNA6r3rEkJ5bnQbYLxWlwnSO0vWfo3nX1fvUli35HEp53BMVl1YLMo9EqJpldKNLnlThbuNZYo47obT9w3LX6e/130NJV5pXW+X6v1NHzuE1MZ+J/XsJWVsvHRp+uu3OSzCYmJab3Zr4ElzF59FQYOhE2bEDnncfOYy8hyKYiENlz18AMUhYXw5NxvuG3pcv4zdjTd7S4GhXt4JUfFVSvdsVBT6GwPOGeeM9s7UbpcyL17Qdf9Zs55w8dy09AreHL1V1y5cRkVOnUmgIQq8Fr3gJu11YqIaNmSU+7KMlylTUyyEJLeVxo3kkAzenxJadIwe45KNV5TVBj9sE76GsHOb4TXR7ABpCR16ISm9e8UkhhuC0oAAv6MzKj2if7XbBEhJA/oTPKAzoSnxLBx1vw6V0kDxR9A+3N7kjygc5P7LYH8ChdlTg+R9pN7O64qzEZqwc82hiVIzn1AR2AkNgJE1rHooGuQt0fQbqgk3pvs6gsbVYzn1KBNxz3O1jF+5ZY5Wbo/D88JLjgNe/AKwpOi+fqWVyjPKmDtK18fN2Np7HM3Ep/WLuj9C4xKOJF2C+d0jCUurHFOAmf3EvDTT8O8ecd4fdljEukwwkH74UYAq3BL+L4CzSn9F7ZvwA2JqhaEvr9jO4PucQVV4P1MJinCzvldE465yIY/cpVxk7LXPdUtVIUBd15AYr+OVGQVYisrJe2j2Qx+4RlWHyqsGfQd6BFXXNy6PcsCbUY2bTJE4P9WkONUkEJBVxSKIsJ4cu7XfvH356suJ9Wq0T/MxYVRFQH3JOPmbROS37cpqf4M9cxKkqmNtm1bDfH3cb/R3D3oCip1wWPDruTDfqOZvnU5j66cW+NasAljObgk8P6d1nx+W03FWZyP3siKDKpNMvgmjUv/oaNYjcRoMG7Eilot/sCbFK4Yr0tpJIGk9JWo9XvD1iCu5xAUS9PsaU4lXeLDUZtpBaDrxUOr45Lr2WX70b3peulQFGuQJ/I4SAl7805+LGBZxv6g+qvaJL0nawy4XsceblgKCd91VcvcWdfBXQXuSsHmj0UN/0kwhrwtHwt0T3BSI9iSiCeTnLIqFu1ruvgzErokUtdZ+9JXfH3bqyCg5GAunsr6l9+j2idQfDAn6M9RgM5xYUzskcjFvZIbLf58+zg7kdKY+fPdiANEoC0imtiuSSgW79M1cCgugp+eU6jIq7kLS0jNYFjFAq5y44+8LStO6SG1RlKiQpgysC1RAWKv88QBXPnBo3S/tO6pfqlLNr/9I50mDiBz3T42Pvo0u6fdQdpHs0l+6nFyfHWC6zDxbtXLwHCMCBTAjct/JtTtIlTojNq7j9uWrvCKvytIsen8tX0xuW6Fr71l4QyMa8xCrQfKM3T5V2oa2s8/U7x6Lau+WUzu6o14xo9n9UXXoAuBBtiE4IVRk+sUgRfGqfw0IJwYi/f8KQpq35avbas1csZDqJLzHtDJ3ydwFBkPn7oGBfvhx6cE+xdXxyhXv6nmTfngMoGrPLjvScrg8xvVv5YiLsxGeF2hIU0gsk0cl7x9H5P+eXe9bY4s30HR3kyiOydRkl6z0ofUdfJ3Hgn68ySQVXbya59rLkdQuR+6ByKTIc47sRnVJsBCSIXKAkMIgvHwsX6OgqJCjwuqd+43Iddq1qxuiLgeLRtvWuHysGR/fpOWfH2s/seXbHlnIUJRGP3MNGOAritmMiBDN6ZrCpNeu5t+NwX/fRvTJYFzOsY1Sfj5OHuXgOtakvPFZ730Ekl/y0bM1JGqoLJKYdd3ClFtIDxR1gg3q/37/iVQlm38x+oeN9Ibu3Y2IwCXp3rqRXN5+O7O13DX9zTkHT3KjuSz67OVJA/sTNm03wKQ9tFsDlkU+O8bp5/48+G79rzX21NffMW1a9YhgN5HMzlw2VC2XTueaWoZuxw21lTYuPFAMorfGNrIFO5oczG/R06NAHjR7vS4YTcGqetoC+aTn36UaTsceFKHoN8whO4RFg5UVMczuTCWQ9ZffDVd7QKUEMIUgUuCVQh2Vmr0CvOKhPYdEJGRLXNAgTTC96/3lRodRoLFBt0mSuwRhg+bNQxydwrcDkFKf2kYP0uOmY1BGjd3d7BaQwjCk4JfjmppBreLYfmBgjrLAAaDo7CMqsJyYrulsmXOT+z+4vgJVR3G9mXjv78je/0+ht53GXE92qKoCpnr9vLDfW9yw8Lnqn3fGqCsyoMuZdCxW01BsQQ3Wyl1wZZPFCY8qfvLuvkEjK7DtrnQZbQR/pTUG2I7SQZOk0Qk1coK1mHFq4LSjOCv8YReLRf/J6Vk+YGCRiV6BJL9y34y1+xh39drUe1WMlbupKrw2JndThcMpCKnCGu4neKDuVRmFyNUhZzNB4lsFx+0XkiOOvHZ0rNXAEL9IvDVV7EA7mndWDFWoSJfoGuCLuO0GkaXgYGwvt0dWVN9sdui4s568QeQV+Hi4MrdbHlvCTGdk+h+xQjcVbWWvQLdT7zs+mwlAAsfmUNYYjQR3z0FQNp7b8F7bxmNTjfxB9Uzl14E0OdotU+i7bejCc2DDwsjCRGSx4/EESp0XDXMVAWFHhVbjbFVgLsc7GdO9rnUdbSffoTMTFYUe3DqUOX1oijToKJWPLsCLCmV5I6+ip2O6go1X+Z7GBKhVAvA8tOnxKAtXNLjIp3ENEP8AYRGg6MIVv5LYI8UICGpF4THH5sP5ReC3izN9FXB35CjW3kN4EBSo0JoFxPCkWJHk27iv7z5Pdkb93PlB4+Qt72WcZ3Xxy2QTW8Z2fqZa/Ywb+1LjPnzDWx+60cq80uQuuTTyX8hrkcbLp51b4OfLYGDhZV0bWK5sWAIS2oftP9faKzhHbl/scLA6Tp2b6jsgcVQckghM1wyYJoxs5XaX+KsgDCPd6k44HrzrYYFi9LEajjNQUaxg6Ig40jrwlVexZb/LETXNNwOJ64tlcfel4SR+KGogpCEKCqziwEo2pPJ/vkb6H7ZsKA+KybE0iwPC2fvErCP2nFZAVjX76asIARdM0701k8Enirv/6ms5XiuQ+FB8AQ8XXeedMOpOYZWzs6dR/nx4dkcXbWLHR+vYO71fz8mVi804fgO6wm92yEUhY2PPl1zw+kq/nwzl08+iUyombL/41/X8WGBMeJWSYWcShizaRvVc6jeGVJdYfTOVL4u8tZPVqxQsOPUHMcpQOo62rffwuHDAHQKUWo8I/QIU49ZWfEAMSocqpI1tqnAt4UePL7rrqj4pPW7cTR8g9Q8EN3OsKKC6mzfnd8oVBUrlBwRlGQIcndB+pqAPdfatbvCWCoOFtUeSkhMYsMNWxHD2scSYbM06sZ2eMlWPhj/J3Z/uYqSQ7n8d8TvKNx9tGajBsYYa5idxL4d6XrpUDwOo1iuu6KKvjeMC7of648Ucbjo5CVBRKR2CjoJpPCAYM0bKvl7BEWHYc+PggNLITQGht+tM3C69FsPxXYyEiAVS81ZZ1828NA7gs9wdxbnN/awmo0tWSUNNzoOHUb3ocvFgzFiLiCqQxLW2hniEpCS8ORYv/jz4SwuJ3tjcF9Q+wlYxQRiCkAwrtSoYwWI6+47wO1dppQ6PVbkYplZ4M+i190BsRGKUQ3EWVo9UHSaOO1U9L7VU3Ak31/aRmpGqnvt+56jnqxgX8jbyMengJQMfuGZmtsDffVaO7XF34svwtdfI/ILkdHGUpHslsBtS1cwfvsO/zlSdZ2kklKE77HaaOn/MSrSFxOpgdY4j6/WitR1tK/nQXZ1bejOIQJ3wH/190XH3lg62AVlddxvPMCAcBVLoHfFaYLmFGz/UvEnd3iq4OByUO01r3tFNQyhhQB3pVGNIbD8m+aB3B3BD/ntRl3W3Idy0rGqChN7JBIREvziVttz0kgZ3AVFUZC6Tmhi1LHJH9rxr5f2Y/oQ3T6RlEFdkLo0KhhJSBkcvDG7LmHN4aKTVitYKCoxXRsf97rhPyp7v1fY+bXKlk8UDv8scJbXEV6gH+tmpFohZ1vwD+glR/Y0un/NQbnTQ6mzaVZMgaQv226cGEVQfCAbZ3FFje3WiBBQBK7yY9OidU0numNwdkC2YI0vG8AUgACaBrNm1Xxt4EBsb79Dn425oOuMyMyl885iKNMNTzoFKgqq3c89Ltj7Q/XpDE1ogz0q9tQeRyul7zndCU+OwRpmRw2xEpoQhSUsyPgFCYrVgvRoDH7hGeI/+oDXB9/IrH9+T8U9vzkmg7vVUlv8vfQSPPIIbNqEHDAAUeJg1/CeTL3kOq567EEemP8Dl2zeQvesbEbt2csHo0chhWLUCwZ8rr85HrV6ZUqxnBHLv1JKtO+/h9zcGq+tLtWPmS/zfeNUIEKBSTEqfcMVKuu4HK5ICIiBsrWWzNbgBnJ7FGRvhXVvK1Tkw67vFDLWVo83ikVn0p91Uvoal5rVOymsa9UB+/sXCzxVwd84elx9T9BtWxN2i8qFaclEBWmrYgm1EZEah+b2oFgtqFYLSLCEBx9j5VvBsEWG0mFcX+LS2tDvlvGNHpc0Kfn5YAHaSTK873rpbaghTV9mTu4nGXC9xBbmfYbyhRt4w6F0T3USki9ppPcVEtUW3PHoziD9YpqZnLLGPTiXHsknf0d1mICUEs3lQXO6CUuOrtPqJSw5BkuIjfOeuh5nybEzvV0uHExofHBxyQ2VeAuWFo0BFELEAbOBSUA+8LiU8sN62j4E/B4IBT4H7pFSnvh0h67D0KGQnw8JCcZPr0dbSWwIXfcUEZ9bSUyxE3lnDPKZBP9ygLvSMIFOXy3oer4kMLyiy8W3nHDXzhS6pEZz1YePkLXpIBGpsZQdLSRn0wF2frKizi9CUv9O5G49BBLs0WEkD+jMmPdn0v6j/3JDyFU4tnsQj/2X9Dsu4PG77yXKl7zTmpeDhTB8Cn3i7+GH/WJQvPQS8tZLua3bMHKijRvJHffcydonnmF72zZc8egDSKEQp3r4fWoJL2dHk+0xvrresdeLhPi+LXBwzcu383/mvR93kxaq8FhHO8VunSu3VyExBF/g0Or7yp0TpfLXznY04HYFzt9UidPbsL0NhkZZcOjVM6iiR8tbwABBz0TmbBPkbDOkf+5OFWu4ZPidGqtnKUhdEJEkUK01E9TKcyEiCXbME3Q6T+IsCf67Edm+B6FxKY0+nNaCRRH0SIxg49HioOIBU4Z2o9PEAYQnRbP32/VEd0hk4+sLKK2oZegvILpzMiUHc/wXomJVGfyrC8nbns4vr88nd1s6rrJKbJFh7PtuPb2mNC4z3+HR2ZtfTs+k5k9SSh40Fos9FK2qouHGAdgiJBOe1KuXeQF0/LWlfZnmBfuM2enhvzLep6jw80zhrybSEKqtZUozZpY2Tniu+r/PKNh9lOk//hmAudP+QdHeLBSrSmVO3UvJkz96FN3lISwxmuyNB9g3zxuvIWDQXRdiiwguYQgg9gQyfwNp6SSQf2Ek7yUDA4FvhRCbpZTbAxsJIS4E/gCMBzKBL4FnvK81HV2HIUOqrWDWrzdmZV59lfKUWKKzi3DaVGKKnZTE2Qh/ysjQEcKo/xvVxiizFBIjWfxXBQKC9NuPvuKEunYmYVEUhnZJYIPNmIGJap9IREose79eZwjAWumKsd1SyduejlAVnMUVXLb8Q9L0vXze73Kq9lnRnMYSyaFFW/ju3T9wtVXFdjqIwBkzqtfjfGLQ1983PqTwjbf8fc8Pj+C1yZcgHC6kUGhr9fBF9xziLTo9Q93cdTCBYk3hkZQSEiwaKDZoPxERrMFbK2Xf0Xye+XodGrC3SiPfU8XlCVZ/7rNPLlkwlnVV4FepVrJcklBVoEnJpnIdTUKvMIVDVTrt7ILHOwTM5qgqSt/WIZQb67EnFEnqQElcZ4jvCj0ulJRkQPY2ScEBSOhWfYkpFsPAt+MoybrZAkdh8N+LoQ+82thDaXXEhllRhEAPYhau49jq62HQnZPQ3B6OrtlN2ZE8ZKCClJDUrxMlB3KwhNnxVDrR3Rrf3fUvItvGUXw41ygvJyF3yyH63zK+0f3WdMmu3DLSEiOaPYlQUS0Mvvf/WPvib9BcwVvPSL1mwroQ4PHO9llsxvYN/1HI2S4IT5IIoZO1GVL6gT1SUB6MvZ2iYotsmVWz0qrgYiP3zF3Niuc/8Vu7zBn2MJ3G98dZUomwKMcYhYOR9YuUuEoriWqfSM7mg6Qv2YIlxEZst1QK9x5lwG0XoAQZ16cKiAtrnnG+xQSgECIcuAboK6UsB1YIIeYBN3GssLsFmO0ThkKIPwMf1NEueKQ0ZmF84m/DBsPU6OWXKTm0k+ivfkAKsLs03BEKUbeGoweUoVCt3gE2BLqOA2uozv7FChW5AqFayN+xljbDJzW5e2caPRIjOVpcRXa5MWkb3SmJ8KRoKnOLkbokeVAXxv/jNvZ+tYaYLskcXb0bza3hKCilXLcyL6Q3q0dejmfbDwhFoNqstDu3N1II5t/1ey4VAktMTOsVfz58/QsUg4AIieGegX14bfNOo3yeEMw8/3x+9dNi/vbVXP4y+XLiVEP+9Al183Nvb2yclIh/r4CUrjDzghY4oOblQFYBgUPomjKd1d7lmcDbuG+4DlPg9lSb33z10f1ONpZrqALGRCv8s1tIjbhBAPXii1u8AogPe0wCqj0ULcilL6FC2kXSqFCkQ/cLJMXpksE3V1df8D1PRaYYbaLbwsh7JdvnyqDjsUKig6sl2pqJC7MFXSO4NqrVQttz0tg7dw1CUVBsKpe+fR+uMgfl2UW4yhxU5BaRv83w+yvYnUHHCf1JX77dXys4rkcb2gzv0aTPd2uSvAoXSRHNb4yc2G8UbUdeQsaq79CDFIHuSsGu76D35cbfUoLV64FbngcRidXP8JX5sPh5hcpCQUiMxBXsZKOURLbr1vgDagaCeUgAiOmaWtPXT5c1yrnVRf9bxhPfsx1VReX88ub3HF29C1epg97Xjya+d3uS+nYMWvwBCCGIDW2eGcCWjAHsAWhSysCoz81AXb4DfbzbAtslCyEaYTFZi8BZGJ/4w1jL35RWjr6yIzKjG/rrKeSPikZ/JOEYzz8fUod2wyAiSXr/1qjIPtzkrp2pDOsQW2NAbnduL6788FEmvnwnPa48h5CYcELiIshcu5fyzEJs4XbQJe/Sm38zgM1zfgIMA82QuAgG3mUI7EqP5Os7H8PxxJMtcVhNJ1AMPvggD375Ax3yC/ybFV1nqq2AqYt/ZvkrL6G8E+BLpoaANRrxn92IzzYi1DZBRpO1bgZF13wmDW9ghCrTYfQvFfzpoJMyDdaUaTh0cEr4JM9DpEUQZ/WeGSEQV1yBSG1zknrfeKwR0f4EqWDQ3YKN7wp/3JXUYec3GK4Eda0me8VgWBy0Hx584ovbcfIrU5xsFCHonhDRZBEYGhvByN9fw9RvnyTtqhHE9WiLNcyOq9RB5po9lGcWVTeWsO3dxeguDYTAFhWGxV49S1OeVUjh3sw6PqVuNF2SV37yErr63zGD+LQhCDX4OSBnqahhgSYlbPlEsORvCj/PVCj1Jk4LBSq9s81VxQLdHdx/QFhSW1Rby1QCCdZSJalfR1IGdfH/LVSF8NTjz1p+e+drvD/uj2guD3vnrSFvq6ENdvxvOSUHcoJO/PDRJT4M9QxIAokAai+WlwB1BT7Ubuv7/Zi2Qoi7hBDrhRDr8/Lyam+uyYwZxhJcwABcmXuEgT0yoJ3V8H6aEE7y+RZA+i96X6aT/8lGGP5IOduM/QhFRTnNl+JOBhF2C22jQ/0lmwbeOYm47m2I7ZaKJcRGeXYRBxZsZMdHywAoOVQdf6M53f4na92todoslGcWAnDwx018fsur/PnO13HV9hds7UgJRUUwcybMnMnLFaXEWzTsmoc/fjGPjroD2TWBqIO58PN+QIXkoSjn/RXl0xLEe9+fnl6I9RAvNf7Q3kqoArEWcAehWZwSlhZrzMlyYhXGUrEF6GT3fq+9D3vK1KmoyS0f1xY4RuXnF9D/9hmIRiwF973a+6DpXRcfcY/xM7AEnBA1K4K4q2D9f4If7qsKcxtudBrQIzGiyX5pqcO602vqeYQnxVCWUcier1ZTdrSAda/Ow11Z5Tf5FRYFoQhcZd5ZXClxlTnoOKG/f1/rXv2a5TPqDG+vEwnknEQBqFisnPO7WaQ2YpUqb5fgl/eMAMCCfcYDR1m2ACkoOiSoKhGAZOxjOgk9GpnEIhQ6X9BytmmuBrK8A4lsn4g1IoQ2I9KQuk5FVtFx22tVbtzlVWye/SPxPdv5s8Qj2sQx9L7GZdorQFpi88WGtmQMYDlQ23slCqjLobV2W9/vx7SVUr4JvAkwdOjQhq/CwMFBSixPPEVomgOJzYg5soCyqBKhg2daNNvnCapKBREJ0GaIxBpiLMu0Gwa7vjVGZKFaSBxwboMffTYyomMcy/bnU1DpwqNLCvdm8s1tryKEQAJjnr2BzHV7j1swG8BZWsnm2T/S6/rRLJvxIVqVm/xdGcxOiuSef9x8ag7mJDDQo7J2+hTk1jcRPzsQn28BQHZNQOzPhwe+go3/d/pWQWkAvaSYqxNtXJ1oCKKPc128mOFGYMwGltczTruAD/M0kq0wIkolQhXc19YGQqCcfz5K15ZZWqqL2mNU21GXcmT5V0GXjlz1L8HY30tC44ybsOYBq90QfJmbIHuLIQTju0G7QWCLMEJWUvpJsrdSI1a5PioLMoljYNMPspUQYlWJD7OSU960B8NDCzeTtX4fGSt3UrjnKB3G9SU8NZbyo4X+NtJz7EWZ0Kc9a1/6CoFg7ctfobk9CATvnvd7+t08nkF3XdjgZ1c4m25KHAyKxcrQ+15k3qoFVEfX1o+rQpC9FX6eCZGpsOkjww7GR9fzdWI6SsIToM9kneJ02D1f8QrDhhB0GHtVk4/lRDhYUEFVHf+H9TH8gcsZ/tCV2CNDKdybydzr/2EE5mnHv2f5Kssk9u1I2tUj2fTWD+hurVHLv/1So4gIMrs9GFpyBnAPYBFCdA94bQCwvY62273bAtvlSCkL6mjbNLw2HfY575L+FZTmCDQ3FB1V4F/JcG0kqiIpy4S8nQoHlyu4K42nbiGMYOuYDoBQiGzblah23Rv8yLOCWrEVFkVwfrcEzuscT1KEjfQlW/FUuXFXOtFdbn55Y74h/uoSNIrwl1Zyllay77v1zJv2gj8eQ3O6ObAj47if36rwWcPMnGnEoQK89hri6VcQo/4McT2r29qMpz6xZT/CYj0jxR8Au3fX+HN9qQcFY6ByBTFG57thbalGW5sw6v5KiSw8/hN6SyOEYNhDM4Nur+uCkBjI3WHYbqgWr/WYdyxyFCrkbFWJSjXEn26sSjLgeknI8f3WfR1Cqzp5hsSnkpIqN3lNFH8Aui7Z9cVKpKZTkVfC/gUba4i/2kS2TwAgf1s6UpOsfP5TLCE24wFX14npnEyvqcFlBTsbIUpOhJju/RtuBIDEGg7JfST9rjFWxAITQzQ3pHhzacITjRhUT5CTmIl9R2AND+bibF6KHW5WpzdufLBHh2P33oc0lwcEWOw2LOEhQY3FBXuOsvXdRUyZ90SjxF+U3ULP5ObNDG8xASilrAC+AJ4VQoQLIc4FrgTeq6P5u8AdQojeQohY4E/AO83YmRozKrlXT2H5yxbm/14ld5dAs6sQpSLsCv27OPyiwlNVc8nF4xJYwyIZ+sArzda105oZM+r06BNCkBoVQr+UKIbvWIbvO6B7dIr2ZRlL73UIt+hOifS96XxCE6OQbo2b9O38vkeB32PQEmpj0r0XGY19wSoPPWT0ozVSOw71/vuN12fORFisiLc+hPvug4EDETsPVm/3cYaJP62gABzGMlquS+f+vZWsKJXogIYxy9fgPjAexLuFBgxt7pM7k9IcWOyhhCa0Da6xFCz9u8L6OSqbP8ZfRlHqkNoPrKHGd2fNG4oxQ+NdKl7zepCzMUI5Y0pY7sotD6LWSv10uWAgbYZ196agS1wlldQbVGhRaDeqF53G9/dmhHoIT4khdXh3Y9nPakGxWgiJCc6Hz63DrtzSRi1PNoWEnkODahfVBi6YodPVa284/k86Q2+t7tuhFQpVpcZ1qKiw81slaN/JpIGjm9T3piKlJKvUwQ+7g0lPrpt1r33NT4/OAQmeSieeiqqgJhx0l4fU4d0bFfsrgAvSkpq9VnRLG0Hfi+Hrlwt8hOHtt10I0UEIUS6E6AAgpVwA/B1YDBz2/nu62XpRy5aj53UP+v2ICvYJ//+p7pBUZRiBNUJR2f6lSkmGgrNcsOcHC5HtL2DsX784rQqonzSkhOLi+o2apST8949yzdJ3uX5ICJ0nDaTjxAEoVku9y78lB3LZ+/Vars1dxW+s24iQLibuWcIz5ziZ9NpdTJ37BEPP9zrhPvggjBxpfH5xceudCQyMQ33llWNFnhBGpnrt1+H0MMA+HgF9l1IiF8wn361zqEoHqbO2VOdYU4WGqZLwp0NO0quMm5OIiW6mDp9cUocHn8VdmW/cCLI2qRwKWDk+sBTy9xrDumoFWxikrwW3A8ITg7tWVKsNe3TT8+taC5ouOVxYeUICEIyY43P/OIVOEwcgVKX+8BSPzs5PlpOz7RDSoxOeEourrIquFw3myg8e4ZrPH6fXtY0LDdqcWcrcrZmsPlyI03PilSrqItiZt9JMwZaPjd8V76zz0Y2CyDbG+RCKxFEEa99SyFgP9vAgr7eQcCJSOzep703B4dZYuj+fZQcKGlq1PQbN5eHr217FWVpJ9qaDOHLr9vwDjuvxvvertXx+7d8oPhicAE1LCMfWTObPgbSoD6CUshCYXMfr6RiJH4GvvQS8dNI6E2DLEdWuOyN+/yZr/nEPZTk6Wz8rp/1wScF+hQNHk4hL68M5v3sd3eOi9Mgeyp3QbWqaWfkjEF+NZTBEGFTPWHln5sJn/Ys90+/A+sjTnC8Em+f8RPqirYQmRtVbGq7saD4ReJjs3stcSw82jL2KIZ/MwaoK9j3xZ2JDrYb4m+ldUrv//tY/U3a8vs2cWWNm0L/s65uxhtZ/fHUxY4YhzL19l0eP8n1GCX8+7EJglHR7aOVcym2hvDHsomPeHq1CiQZpoYI9DnnMTV4B9jt0OoQoiFYU/3c8Oo2fysHv3w+6XquP8Hg4tMJYjgsPKN3rqRL8OEPBVS7Y+bUMuvqd1DWiO9dlxnB6UeRw+eu2B4OrvIqyzALie9Scib34jd8A0GFsPw4t3Exk23jKjtYTfSShqrAcoSo4CsvodulQOowx1kXLjhYQlti4ZU6f1jxcVElGiYMRHeJoFxO8YXAwWMOjjCm72nXc6iAsoeay78BpksOrJFs/VZG6YOVrxnJO3u7glzalx03MKbre8iucLNmXj0c/dsw4HlLXOfjTZgp2HiFvyyHWvjKPvE0Hj/8mIYjtlmIkMwqB7vb4r0Vd00js057ItsE9aNmaqfZvbVraCLp1EXATje85lEn/Xkbmqu84snweOxdUEJHSkZF/uJHY7gP9SySJfUa0VG9bP/WJwIDl9vR7HodKN0hJ+9G9aT+6N7u+WMmuT36uuS+/B49gFv1BwNWePexOPo/d024n7aPZtImyg91SU/y98srpIY4C4wHvv7/6GACWLoXNm2vG/NUnrk8HAmeHAV5+GX3Det7IdOPyDpAHKz1MPLCFhV361/BL9FGigQ3JrO6hvJvj5qhTp32Iwn+yPYQoYBUwMFyB9u0R9paxlmgsEW06E92pF8X7tzbqfetm139zcJUb501zBn9tWOxhhMQkNtywlVNU6UY2YoZ8x0fL2P3lKqZ++1SdS+DWiBDG//02Evq055NL/1z/7Lv0hrkM7so5D08mfcUOCnZmUHa0gKx1e5ky708IRTRqmV2XoGuSlYcK6ZcaRa9mjAWL7tgTIRRkEPPth1cqOIokfa42vPBKs2Hrpyc2M2WLijslM875FU4W7ctvWpk9Idj2/hLytxvl3/Z+tabh9+iS3tPGkNCrPcue+oCh913GwofnoGsa0qPTblQvVFvDEkxgxM6fDEwBeBws9lA6jLuGDuOuaemunL7UFiu+m75XzAx2uMl6+A9YSkvZ+OjTIAS9p45mz9w16C7vTIiU3MNmKtUQ/qv3AiGYJfvTcXw/hvxvDruvv90QgW/8u/pzT0fx9+qrdS/1bt4MAwYYJeR8x3M6i8C6+t6/H0k2QZbLuA1ZNI353Qcz85zL6jymu9ctYEqEm4hB13Fv22qBd36MhYNVkmERCvFzP0eMGAEXXXwKDqp56Hfrk/z87E3o7pNnAXI8FKuNjhOmtshnNzdlTk9QS3zZG/ez+A//xVlaidQlH058ki6TBjHy9zXHfYvdSqfx/dF1nbYje3J05c5j9hXXsx2FuzNAURAWhcw1e1jz0lzKMwsN0acqvDP8EXpNOY+Rf2j8fUWTkq1ZpVhUw+OwOYjqkIYMYvYPwFEksIZLqoohbze0GXhin63aQul6ya0ntpMGkFJS7HCzuKniDyg+kM2YZ6fz5XV/NybxgkjQSbt6JD2uOAchBFf97zGkrtNr6nn0vXEc6cu2Yw8yFtSiCKJCTo6tnCkATU4+vhu+72YPfrESF2olRHET9tFsADY++jQxnZOJbBNPyaEcv/i7mn184elm1J6UEJIQxVshPQifFkPPj+Yc+5mns/gLXOodORLWrDFE4EMP1TyuQCF1OlRBCaSWCFQmjOfPV13Lc2vSKap00i/ncL3iL1JIIl0O4pYup1RA2LTr/O3SwlTSQiXKp5+h/PQT9OlT5wxiayW2az86T5rOwR8+bDER2GnitBb53OYm2OoOiX070mZEGod+3ISuGR6jva+rPylBURS6Xz6spgD0hrYU7j4K0qgPXJKex8LH/hNg2i2RukZ8r/YM+c0lTT4uTUp+ySgmOcLeLMJAtYUQ220ARXt/Car9gSWC/YsEUjNCC44b7NYQ4uTYv0gpySl3siunjLwKw3LsRFj+zP+wR4VhDbGT0LcDmat319tWsVnQXR6yNuwjb9thEvt2NErIKgrnPDIZgF5Tgo8F1aQkrplq/x7T15OyVxOTQHwiJxBfAoMQhP1rJp7f3k/aR7MZ/MIzICUJfdsz/MHL+WP3XEP80Y1ZDPDX5awqKMMWGcLaex+v8yNz7ryHUsdpYArtS0CqS/wJAatWVW9bU8eyg09ItdZM5+MhBPKFF5C33oqycBGpv72Xf733N94u3MSnfc6tV7RVSMEr507mw36jiVqyGOWTT6qX4xQV5cefDPF3mtrk9LruQWK69G1UlYbmQLGF0GniNELjW94suzmwBhk0r9osxHZNQXN5UG0WFItKdKf6qzMU7c+iPKuQNiPTuGT2fYaVR2B5DAzzX83hou8N4zDUHyAE9phwtCqX386qqWgSvt2Zw+ajxTjqqD/bWNKuvTfotrrbEH9A0Fm+daHaQ+l78x+b3f4lr7yKr7ZnsXR/PlllzhMSf5vm/Mi75/2egl0ZZK7bg5Q6XS4aTHTn5OpGtU6B7vIgVIXS9HwW3DOLyrwSpK6z/l/forkbF98LEGGzYLecHKlmCkCTk0stix103fgZmB0sBJaZr3Dkll/5ReDYGdO5OXsZ5+9dzhd04w3r4BoDLMDOj1cQe+HkGh/nWw5OnvMGWXfcy4IdWeQez1G/NWTRPu1NaK8t/sD46csOXrOm7szf00zggPGErm3eTPGcd1jRdzhZETH+bZ+ff1WDx6Qj+OT8q/CMH4+ycJEhAuPiUbdsQfnss9NW/AEoFhsjH3+buLQhp67/QmCPjKXXdQ813PY0ISbUGnTsVFyPtkx67S6mzPsTPa8dVWcbKSUeh4v1r33D3q/WMvEft5PUrxMhsRHVIjCAyrxStr23mLDEaJIHdSGiTSxT5j7BkN9eesLH5mNHbjlfbctiY0Zxk5c3ARL7nos14Dt4slGsNmK7DaDDuKubbZ8VLg/f78rhp735ONx6Q7UEgqLnVSOxhNmRmo4QguRBXYnumIjH4fQLP8VSKwZX9W6QkotfN4T14SXb2DLnJw7+8Avl2UVBf74qoHcze/8FYi4Bm5w8aou/BhIY2nVIoaRnH9I+mk2ad0l46xXTeW9DBHpmoX85uFxaeY/e3MMmLq/cD8DyvuNRbVZGBcYEfjSbxA2r+emj+ZzbNYG20aF19y8mpmVn0ISA2Nj6RYtPBPpmC09DUROILMhHW7CAopIKpu2sxOl0o1/3e17/ehb9ctNJ/PJTGD653uNUgPOiVVaVauhTp6ALDBG4cJHR4DQWfz5UWwij/jiHnZ/OZN9Xb5zkTxNYQiMY+cfZLVaL9WQQF2oNOtOz3chq0/X+t0yos83eeWtZ8ez/UKwqQhhVPfrfOoGUId04MH+D34+xNhXZRfS7+Xwy1+1FtVvpOK5f4w/mOEhgd1456cWVnN8tkegmLAsLIRh0919Y++JvmrVvdaFY7US06czwR/7ZLH6TupTsyC5la3ZdRcSaTu7WQxxdtQtnsVHzVffoICXFB7KpyC6u/vzaM7CapP24vmSu2U3pkTx+fPBtqorKEYpg2VMfYg2zM+3HZ7GENLysqwhB+9iw5jysGpgC0OTkUJ/4g7pF4EsvIUpLid5VsxDMtqf/xlUOF++P+QO/Flu4Wt/HF3TlHjZxNYb4+4JuzNoWC0Lw90lTGPS/OawfcyWFPXoTt2c7E6ddzE//m89V/dtWLwvV7l9Lx4kF2BDVie+cncaiBkDPyED/4XvQNFaXenC4PDhUK6jw4o0PMWfz11y0cBGFHnhh1OQ6j/ePHaxclmAjy6mjKAr61KnV4g/OiPMEIBSF3tc9SERqJza9+aegbDoai2K1YQmN4Nwn3z2lXmynggi7BbuqUNlM563bZcPI2XyA/d9tQHN7SBnSlX63jMceFYbu9nB48VZ/vfLarP77FwBs+e8ielw5nOyNB+g0vn9QWaDB4nDr/LArhwvSkokJbbwITBky3ogF3Le52fpUG9UeSnyv4Qy9/yUsIY0XNg63Rk6Zk/wKJ0UONx5NDzrZJxgqcovJ3niArhcNxlVexeb/LDT+T73DSUKfDrgbqNGcNKgL456/CU+lE9VuJXlgVz698jmkblwbV7z/cFDiD4zZv5OVAQzmErDJyaKWuXads1ovv2xsj4kxjJBfeqm6JJqXwS88Q/GBLO61bOdqfS9f0BXFauFq9rOTWH9soG//j/2gMy+0N0OXfUXuwOF+ETjwhWc4VGA8yR1XnLYkDfWhNfSxiWh79/DdzDlc+vfPuHl7ORlVGp2WL/TfMAWwxyF5ePDlfN5/NNO3LufRlXOPWVYLU+CSeOPmlmpXQBoJHzU43Q2ya9FhzGRGPv42aki44dfWLAhUWwipwy5gwovziWzbtZn223oQQtAzKQK1mW6giqqguzWEqmCPDqdofzbrX/sGgMJ9mXQYa/j9qSHWequF/PL6fD6+5FmWPvEeR1ftqmFTI6Xkm9tepWh/VpP76JGwYFcOBwoqmhT7ds5jb6Dam3/GSQ0JxxIawcC7/8KIx15vtPjLK3eyZF8e87Znse5IEXvzK8ivcFFc1Xziz1lSwfYPl/Hzn/+Ho7CMlMFdSbvKa/MmASkp2HGEw8u3HXc/A2+fiMVuJSQ2AmuYHXdFFVLTaTO8BwiBsyS4MotCQGpUyAkeVQOf0RifpNONoUOHyvXr17d0N85uGppZCwye9omygQNh0yYKe/Qhbs92Crr1In7fTr/Yu4kdROA2hB8cu38puUdsoVxaWDZuKr9LzSDto9nsv/EOEt/8N1GPP9b6xN8Zip6Zib5oISVllVy6tRKXNMReX0ch//3vc/xt/PV80n2YkSWHtyS9lDy6ci7Tty7nw36jeWnUZMIVQYpd0N4ueLZzCDZvuUB/tm9tg+xT+H8rhNggpQyunlYtGjNGOUsL+eX1P1KwYw2a20XQzs4+FBWLPRTd4yKx37l0u/xO4tMGN6HXpw9uTeer7Vm4m0kl5G49RPGBbA7+uImsdfsQqkKb4d3R3BqZq3cjFOFPVDsu3jFPsapcP38Gmev2UrQvi82zf6Tdeb1oe04a3a84B1tE0wSAAFRF0DkujD4pUYQ2wki4aP9Wfv7zzeiuqiZ9du2eRLbvQbfLb6fN8AsbHWLg1nQ2ZBSTXuRAO4laJWfTAb694zWEqiBUxSjXNqwbVcUVFO1tWJBbI0Nwl1fR5aIhdLtkKO1GVYcUeJxuStPziOvehuKDOf7SpQ0hgCkD2jbLA0x9Y5S5BGxycglmVqv2jNyLL6I//DBxXjPk+H07ye/cg1kH+4IQvCd7A2CNCiU8KYbiA9k1Y2+8PoHhbeK47A/XsjExGoC092fD+0ZsofM392E3xd9JQ5aXo/30E+TlAlAVcFOUQKFq58N+o/myxzAUBLr39WQr5LiFsfwLlNlC0YXg6c42BkVYiLRUB1grn31+bLbv6eqNGAT2qDhGPPY6xQe2s/+7/5C19gcUiw2JRHe7AIFiNWZHdbeLqA5p2KLiUFQLisVKZNtuxHTtS2y3gWdN1SKrqjCyYxw/HyxsFgGR1K8TqtXC+te+NWxdpEb+9iNM+uddLM4soDQ9399WKIKIdvG4y6uoKiyvuSNpPAmNe/5mQmIjyFi5i31frwUBGT/vomhfNl0vHtLkfkrAo0v25Vewv6CCnkkR9EqKxFY7YaEOYrv249wn32XV87fjcVYaiXuNRLFYSR48jsH3/t1fVrWxVLg8/LgnD5dHa7ZZvvpIHtiF4Q9fyfrXvkV3eYhoE0vhnkxjti4w+bCeOM+4bm2Y8MLtddZ5ttitxHVvA0BMYPZwA0TYLc02e10f5gygSctSW/xFR0NJibEcrNYcrIwZwP7cwxbKsfJR+GA8lcePx+h2+XDGzJgGUjJtSAf/659uTOfCXiknzWDzbETqOvLwIfRt2yAn55hl2D8cqGJpsYYGPN3RRp5LZ1aWBwnYhVG9o1w3fnd6l1x84k0F4qyCr/qGYgGUTz4x4v7qmuk7xUv8p2oGsDa65qHs6H5KDu3EVVaEQGCLjCG6c28i2nRBOcU2Mq2Z1YcLm3UWacVzH7Pny9UA9Jp6LiN/fy3vnvd7PIHWU6pAVVUsEXachRV17kexWrhp2V9RrCr/m/Q0zrJKdLfGFe8/TEKv9s3S10Ci7BZ6J0fSITasQXHhLC1k0xtPkL9jDZrTEdT+FVsIqtXGoHv+Rsrg85vcz6OlDn5uQq3eE2Hj6/PZPOcnwFjuv+bLP/LJZc/6BV9cr3YU7sxADbGiVblrvFeoCopVZdxzN9Hx/BNP8lEVQf/UKHomNU8GsDkDaNI6CYwVfOklePhh48a9dGmNZoXdexHfpg/3LN3ERRziBYbiqaiC4xVnxxAl6cu2cd5/X67xev9/PMPqp55jUs8zw/OspZC6jkxPR2ZlIXfvMsSXp6bX1eEqnd0VHhYXa/6H5+cOu4ywGoyHaqc0/ilU/9QDRJsEnupox+J7LTSs4fhSOCOyputDUS1Ed0gjukNaS3el1TO8QyweXZJZWnVCdik+VKuF8566zqgysS8bgMv+8wDf/eqfuMq8YkmTSCFxFh0v5kviKq9k95drcDucDH/oSnZ/sYriA9knRQCWOj2sSS9i3ZFiBrSJokdiRL2ZuPaoOM753Sxyt61h17y3KNm1DmG1oTsdNRKSVHsYCLCEhNP10tvoeP61WMOaJlyySqtYn15Iubvxs47BUJFbTHhSTI3XpJRs/3AphxZt8Sd8aFLyyaXP1mhXuDMDoFr8BcwGCkXQacIA2p3Xq3k6KiVd4oKrFHIimALQpOUJzIB96SVD/G3ahBwwgE9mz2Pgi8+S9tFs+uqSOPYxTVxKgQwx2jcwmB+Yv4FJ387mXLmX75OHcujNtxj70Ux6em1mtvzjH/RrE9MsdgRnG9qePchVK0HXqXS6+TzPjQSuTrQSoQqklJRocP8+B1m1PLkD8zID/wd91Rv0Wv8fOpBiq16K0addjzJt+hmfNW3SPChCcG6nOLZnl7Ejp/SEZ5Z8ZeIK9hz1x4jFdW9DTNcUcjcf9F/Uukc7bqEM3aPx8aV/NspeCmOJudslQ48xivY43bjKHCgWtc5lxsYgMQTOxqMl/HK0BKsikEgkRhyuzaJgtyhYhKDM6cHhaYvl0mcQ55cgsnYjsnYhizKxohMdG0f73gNJ6NqPyHbdEErT8kpdHo0VBwvIKT955v152w7z7Z3/5IaFf8YabixLuyuq2P3FKta+Mq+6oW/1oSECmuhujZCYCFTriUsqVRGkJUZgO0nmz4GYAtCkdeCLs3j4Ydi0CVJSEJs3M+mNv7HgkadI3LCa+D3b2Z/QicLicPBmj9rQcAlL3V9YKfm1tqm6kkhOR5j8F/L+fANTpimkfTSb3cAnN9/P/q/W4sgtYszk4Uy8cczZKwiDTNrRdu5ArloFmiHlHtpfxfYKHQn8UKShS8mtKVb+dMhFsOHnd69bwKgju9ia1JEXzp3s78fISIWJsSpRCigff4w4eAh54SSYfsPxd3i2/h+a1IkQgr6pUbSPCWXdkSIKK13oss6QrgbxVLnIXLuHPV+tIX3ZdlIGdyWqQyLdLxsGQO6WQ9UPpxJs0WG46sr+lATUPId5N71EyuCuXPLWb2s0W/bkBxTszSS+RxvG/9+tTehx3UjA5X+INn66XRoVrprWOR5dQkgUdB5m/ANcQJUQ5CDpaY2krzeRqzHoUrI/v5z1GSUndBz1obk8HF6yld1frKL0SB6628O8W17BU+Vi2AOXs/L5z3CVBpeVWx+WECujn52OPbJ5ZuxCrSr9Upu3Okp9mALQpHVQuyaulPDaa8S+NYtpb80CoLBHH7rs2U5S1DDyy0HVPfRqF0Jprz4c/GnzMfvz1xAOsIqJ790Oza2x8dGnAQj96BP++2kJPi/Pdd9upKjSxdjpo4mwWVAUweGiSiqcHmwWhfYxYU3y2DotmDEDiovrnznz/h/JyEhk504cLHfzUoYTVQg2l+v4Fm32OIzfNpVrjIpUWFeuH3fGZVy0wpJijUhnJf1y0+mXmw7gF4HDIlUuj7eifPwxyqLFxpss1pb3bjQ5LYkOtTKxRxJlTg/78svJKXNSWuVulBgsPZLP4t//F13TEYrCosfeodulQxnz7A1EpMbx/W9eB8AeE864v97M9/fMCm7HiiDt2lFU5BQTnhzDgR83se3dReTvOAJA2ZE8Pr70WYb89hK6XdyksNNmxRdTuSunnPQiB2O7JhBprykrXJpOicON21tNI9SqEm5T2ZtfzvbsshOu03s80pdtY8kf36XThAFUrCsGoORQDkIINr31A2lXncO295YcN3O7/di+ZKzYgRDCmNGthSXMTucJA5ulv1ZVMLZLPMopGtdMAWjSOqjtG+h7zZsJDPDTR98x4IVneO6XzazZVUbJ0OGEvfYsUoDm1khfuq3G/sql9RifwMLdmax49n+oNgv6Q09SsceJ9ku13YHm8rB0wWa04XXHcuzMKScm1MroLvGNslZo9UhpiL/6smcDBLq84Qbo2IHf7HVQUD15geL96RtKP8vXiFfBfZzxvY0VpidZGRtjYVGUsaw2fdsKpm9bzogolX+fdyVdQqgh/uQ99yBmzjTFn8kJEWm3MKhtDOAtTahLVh8u5EhJw/Yncd3bMO75m1n02DuAJLJdPN2vGA6A5nTT67rRdL9sKBvf+J6UQV0Y/cw0lj/9UcOd0iXLZ3xEUv9OXPTPXxOWEEnxwZzq7RIUq0rKwNbl26hJSZnTw/e7c5jUIwlFCPbmlXOoqBKnpvtjdyXGrN9J1HwAVOQU88XU/8Nd4QQhOBQ4QSCN/+/iAzmUHS1o0Lan9/Xnkty/E+GpcSz947uoYTa0Shdp14yksrCcsoz8474/GASG+JvYPemUJiaaRtAmrYcZM44bt3Xxm/9HiCrotGsDA6eNJvKN51HtViw2K0IRWEJruqu/J/r4xZ/w1mf0GQ8v/dP7fHzJMzjuvxsZUDResap0vnBQvV3UpKSw0sWCXTnkV7go8brRn/YEGnMH1mmGmuLvrrvQx45B13UKPTUFH7V+F0DfcMHxPO8z3TAn203PMBVFEZRdO5WSseMA6LJyCX9f/zXnLfjCL/70225D/OtfpvgzaVaEEFhUhZRGGO8WH8wmJD6CLhcOoiyzkFX/9znuSiftzuvNyMeuJqF3Bya9+itUq8VIPBDUGw+oBoxdustD9vp9vDPiUTwONymDa4q9pP6diEhtnTY+bk0yf2cO3+7MZk9+OVUeHSnBrUvcusSjN5/40zWdNS/ORXN5jtkWlhTNsPsvN8637wN9Wc++n1LSfoxh3m0Jr9+X74ffvknfG8eRs3Efke0TuGnJXxnxh2tJHtCFjGXbKTmQw8GfNlF0ILtJx6EqgpQoO5f2SiH6FK8umTYwJq2P2svBUGMmUN5/Pxkznmfl4SL/d7tofxahidFs/2AJm9/+0d/Wl7If0yWZ4gPVT9KKReXCWb/GHhnGN7e9ij0qjORBXegzbSzRnRI58vNOOk8Y4C/0/fPznzL47osIja/ObhMCVCGQEjrGhtIvNYqwZiztdLIxbFsOo+/cCY5KCA1FSeuJmDnTmGGrZa4s77kHbchgvy/Yi0ecfJXvwSnrngEMrhPGMq4voS5EwA1JFu5Z/mX1cq8X/YYbUN57r9WJv5aygTFpfgorXfy0JzeoJBG3w8neeWtZ/fcvUKwqCIHu8jDgjgsYcu8lNdo6yxxU5haj2ix8Nvn5GtssoTbCU2IpCZzpUwX9bjifrpcOZdGjcyg9kk+H8/shdZ2UQUa8YWzXVKLaxQNw8KdNaC4P3S5p+WXhU0HpkTxytx5m2ZMfMOqJKaQO6UZ0x6QabdKXbeenh97GEmoz7HmEYdciPU14YFeq4xujOyejuTyUHak589ftsqGMeaaBuGQvxnyEIDrUQt+UqGPr1Dczpg2MyelBXR5uUEMACqB9TBjjLCpL9uejS4jtmgpAVVFNw9WINnHEp7XjwPwNhMRHUFVgbNc9Glvm/MTRVbsRqkJFbgkHFmwkqn0CC3+3hsrcEvgLxHVLpehANrs/X4k13E6HMX1JHtAJoSiG44n3AepgYSUZJQ4m9UgisjFT+MFWSmlmZGkp2rx54HL6EzkA9NxcGDYU9de/Rrz6avWS8AMPoE2cAFnVrvjXJlrZUu4h2w1tbQrbKhseWP0efxhJH5EuBy+MmowQAglUSVhfrqNfd90xArA1ij+TM4voEGvQDzDWUDs9rz2X/B1HOLBgI7pHo82INAbcccExbe2RodgjQylNz6u5QUDaNaPY9ckKLOF2PBVeX1NNkr1xH1vfXYTwrlCkL95KVIdEOk0YyMKHZxPdKYlLZ99P0d5MNvzrO3S3RnhiNDHdUgmNjTiBs9C60TWdb25/jarCMoQiWPmXT7FFhHD9D89isVePvdEdEonr1Y7YLikc+mkTQlFq+jQ26kMlWAzx6CypYOQfrmX50x8aS8xAWHI05z15fdC7G9QuhuQIe4v70JpLwCath/rE30MP1Ww3cyY8+CDJEXbGdEmosSl1aHdUu9W/1FJyIIcD8zcA+MWfj8x1ewlPiTWWhaVEWBQ2vfWDIf6ApU+8x5fX/Z0lj7+LUBW2vbeEH+9/E0dBGQCOonL/tL8EXJpkyYGC6vqeDc2uP/308evW+s7HjBnH308j0Q/sR/vkY2PWzyv+/H12u8HhQBtxTo33eCZUi78qXfJNgZtXM5zsdEC5B/YEIf7AEH9trNA7BOyam+lbl3P/mm+wCQhRjH8Xx6ko8xcc++YHHzyjavyatD5URdA+JvjZGEVV0JxuFKuKPToMd0VVDRFSm5D4KKICZ6okbH9/CZpbqxZ/XvK2pZPYrxPSO+OuWFVK0/NY/tQHAJQcyuXDCX9i/q//TXlWIZX5pcz/9b85sMAY76SUZG/cH/SxtGYCVyoVVWHyh48Ys3nelwf/5hLcFdWxm5lr93B0zW4Kd2aw/7v16LoMTvwJgRpiJbFfx5ovW1Vj5lBARGo8Hcf1Q/f+DeCpdPlXixrCrip0T4hocfEHpgA0aU3UlQgSKAh1vXpJeM0awCiW3S+lelm2y6RBDP3tpaBLhCKMAtx1IXWkR6ciu6j6pXqWBixh3vgcKRl494WUZhQA8Mus+Sx5/N0abavcGnkVLkO0HU/c6TrMm3dsvJ2/MwFiuLj4hIWPdLnQdmzHM/dL9IULa+yvQpNcv9NBqadauCrvvQeAw2LjsQtu5sqvtjA7y7hBlXl0/nzYxYpS43y5MSwhauMbXIZEGL8JIFyBcItgRxX8c8TlvD3qMm7dtJh/b1/AI+1svNTFzrWL56LMnWu8eeBAuO8+43ev8DdFoMnJpGdSZKPsTPpMH8u1X/6Ra7/8I0PuvfS4bW3hdi7/74MgQLFZQEBMt9R6r+m8rYeqPQXdx2agAkR1SjTK0mkabUf1Yr/3gbdoXxbf/eqflBzKbcTRtE5WPv8pe75e6/+7qrgCqUs6jOmDUARrX/6KXZ/+7Bd5q/7xBav//oXRWIKs59wB2CJDsYRUx2CmXTXSSLwRgpguKVhCrLQZ3p22o3rS76bzSRnUBSEEA+68gOu/f4YLZt7F2OdvCvpYWpOLhLkEbNK68JlCQ93lvF55xdg2c6ax/eWX6Z4YwbbsMv/SzS3vPMVdkZW8dt0MDi7aarwYWM9R6sxiIRXSyqNiXINd8lS6sEWF4iqrYuO/vjOqVygC6dGRSD6Y8Cd6XXsug++5GI8u2Z9XRlJDGbU+v8MBA45tVzsG8gQNjbXt25FrVnv/qB4INSl58YgLly45WCV59aiLXqGCaxd9ibJoEfqE8bx93mSWZTlxKSrvHq1iULjK/iq9vpKYAHQPgVABw6JUwlVBiKpwqMrFuBiVL/M1jlQZ79SBfWMuwBNSycBFP9Df4jHE52Lv0u/AgbBhg3HsvoxwXyjAK6+Yy8EmJ4W4MBuJETZygzQlTurfyf97m+HdG2xfciiXyHYJDLz9Aja9/QOOglIsITY8VU1bniw9lAcCrOEhZG/ch1bl5r2xf8BT5QFF8NWNLxKeHMPYP99IeU4xnZpYqsxdUYWUYItoWm3fprDvu/UU7j7Kvm/Xk7lmD86icjqM7Ut0xySu+eJx1rzwpZHFq8Omt3/glze/Z9Jrd/lXceqjx9Ujyd+WzrCHrsBV5mDFM/+jz7Sx7Px0BTs+WmYkiggj0affLeMJiY5g09vfU7Qviz7TxlK0P4uBtxtL/WHnNs6zr230qTt/DWEKQJPWSX21XH0iUAi/cLK//DLtY0I5UuxA6jrxcaHE7TnA48te4+vZn1OeW8LPf/mEvK2H/eKvGyXsIxqkDqLhifCUQV05umqXP+NMtVsN93yPjj0qDI/TzQfnP0Fk+wQmvnQ76h0PMLSyEqUOcSd//WvEm28i09KQ3bshhg0z4u187WonwDzzTNDLwFJKKCsDlwtCQ9EPH0KuXVND+PkocUs+y6/OoPs6383wNXOxbFqOPmE8+tSpFKa7cCvepQ2PhzULlvPfrsOOqdQB3vJtwA1rvueyMDf61KlGYLyUtLMLHtvvxKZAlXei1SY1km0WuG4qOqAsWlS9M5/481UWCBT+pgg0Ocmc2ymeL7dlNdywCST168iUuU8A0P2K4eRuOURFXgmLH3unyfsMiQlHtVmpzDOEj7u8ejnZ43DRe9oYNr6xgMI9R0ns3R57dFiNWa+9X69Fc3voefUojq7ZTXhSDDGdk2t8xsq/fobm0Rj/t1ua3M/GsmXOT/7ZuLKjBWz493ck9OlAdMckojskMnrGNObd/DIVWUUgBG1GprFsxoe4y+u38lFDrIz83dWoAQl7VcUVFO05iu7RsMeG4yyq8MdnJvRsx5I/GisiHoeLjbO+I6F308v0dYk/+SXegsUUgCatj9pLwUHUeh3WIZYih5sKl4fvP/yOC6dfQtye7Vx+9zV8/+F3JA/sQtcLB3Pve0+Qml3C4bBk7qk8NyjxB0YNSUuIDc2toVhVQhMiKT9aCBjZgDs/XYFW5ca1K4O1L87lxmuTcA8bhvXAfpRXX0VWVKC98gp/v/tJlotkzpn2IH/M2Yrts8/RJ05EXnKJIRZ9QjAw+/mBBxpMBpFSou/dg/zlF6ioMISTpvkzdn18kOOinV3hrSw3+x26X7QhJY+unMulW5eza+Q4uk6ZghCCy+It/FTkoUKTxLqr+NXiz4nPOcoLoyZX9ycgk/ehtlYu2+tGWWiIOX3qVBTgmwIPVd4UYauuEe0oZ4hWzp0Duhki8c47agrAQPHn+z/3icA1ayA21hR/JieNEKtK1/gw9hecWJWIYMjdcojDy7bS+YKB9L3pfNa8OJc253Rn89s/NuhR58MWHUaXCwaz6a3vEYogok0cZd5QFYBVf/0MxaoiFMHHlzxDn+ljOOeRq6jILSZvWzq/vPk9ukfDEmJn/T+/IbFPB8bMmIYlzM7BHzex9b3FFO3NNKqV3PwyfaaPpetFg5v9XJQeyWfznB+JS2vLule/Dqim4v0pYPOcn4jpnExoXCTWiBCcxRWodgua00Pmmj3HLQ8a0yWZPtPH4iypICwx2v+6p9LJrs9XAuAsqkC1W0kd3p2iPZmc+/gUjq7azV7vEvSAOy4gdWi3Jh1fYrgNq9p6Iu9MAWjSOgmsD1wXtWq92lSFC9OS2JZVyr6CCn766DsmTjNE4IXTLwGfKMw+RGGPPjziGkOc3UrhnsygulOwM4NeU8+jPLuQgt2ZfvEH4Mgr9fdD6jquShcVtjCinBXGLBigvP02PyzdyDdjplBltfODiKVP325MVC2sPZBD+7RO9K79oYFWLAHnQUoJHg9YLEb2rJToP/+M3LvHeB2OmfE76tTZ59B5J9tNvFVwebyFWUf16tg9ISizhfJhv9G81P9yhu6r4upEG1/mu6jQDZ+0zLBovug9gjJbqL8/d69bQJTLwbcTrybTJfko1807vS7jivg07v9kFopQQOr0TUxjWVx3qnRQNY1/kUHX554AVUUkJiIef7zmsT/88LHiP1AEmuLP5CQzoE00h4scJ61SRemRfI4s384vb36Pu6KK4Q9PBl1y2Zz72fLuItQQG4pFDapUWemhPHZ8vJykgZ2J657Krk9X1tjus8MCSB3ajaH3Xw5A1vp9LHvyAxSLiq5pLHvyfYRF4ciy7bw35nHG/PkGivZnUXIwx18Fo6qonIRe7Rp9vJV5JYTERtSZLKG5PRxdtZtDCzez75t1nPun64jv0Za87ek12ukujczVu/nurn/SZ9pYdE3H43AZmdKKqFf8WcLsxKe1pWBXBqv+73PKMgroc+M4QmMj/Cs7UR0SKcsoQGo65//fLXQY3ccfd1lyJI/e143GUVROcRP9/gBGdoxr8ntPBqYANGm9NHSTr7XdqioMahdD/zbRlDrdeNato+ScYcTt2s60oUZWV0H3Prx+2/N03JdF6ZF8HIXlOPJLERYFdGmIq3rG+52frABgzDM3sOzpD2pu9D6hWuw2Ok/sT26ojX35pQyOVI1ZsIWLKLWHoXtnHD0S3s1x8VbahVR28qDrOjO6HGTSAa9j/cyZx8T/yYJ8tI0b4fDhgCdiAVHRLDtSyJYyN2OiLfQJV/ilXGdoZPVAu7jYw8yjbqwCyqskrx51H3N8bwy7yC+6YyyCxw86uSJeRaAZp0SIY2b+olwOpm1dztREK/8YdSVfFGh4JHyS0J2R19zE8M+NpZNpd3RCujLZdiiHK3um0v2tt46Nd6zlOwjULQJNTE4BdovKiI5xrDpU6C951pwcWryF9a9+7f977UtzSejTnotn3cvG1+cz+K6L2P3lajwOJ1Iz6mwLIfxm9rVxlVaSu+kgyQM7G1mrAYkPPvFnCbFSkp6H9Ojk7DhIx/P70femcWz/YCkgCE2MxJFXirCqRHdOZt+368jfkVEjgzYsKdpwWmgk3931L3pNPY8+08aQt+0w0Z2S/fGElbklLH3iPSMOUhH8/NzHhrF/Pedd9+js/XotlhArKPWfExRBSEwYkz96jGUzPsTjcKHYLGx9bzFb3lnI8Ieu4MD3v1ByOBdbZCjDHric7I37qcgpNt7urfZ06Vv3Nfp4a9MnOZJwe+uSXK2rNyYmzYCqCGJDbRAK+rbNYKm+zP86+rdsf/ZjdF3HYrPg8lkH6JKEPh3I33mkOhu4nkyHY8RfAJ4qFyVfLeNbrRsf5HpY3D+UyM8/BeDivRv5sN8YciNjsVpUjrrAKsCtWkCFL3uNqBaAtdD27UMuXQp6rVg+KVlyOJ+nDjqpkvBxrocH29n4+xEX8/uFEWc1BNONyTb2VOr8UKRRz1DpPWaj/Q/FRquvCrSap6KWGPth4mSGRKr0WLQIZ3J/tOgO/s3lCdV2F+rsOdwEXpH3t/rFX+Dyfn0i0MTkFNE+JpSsuDAOFVY2uwjsd9P5ZK7ebSxbAtZwO9Edk5h/z7/RnR52fbmKqvxS/zKwNdxOTOdk8rYcPu5+t76zqN5tHqcbWeqg9Gg+397xGgPumEjh3iyS+ndCsarkbU3HHh2Gq8JJaXoepYdzay5DC0Hu5oMU7MogIiU2qOPc+Pp80pduo/RIHhtnzWf/d+spPZJP/1sn0P/WCQBEto3ngld/xXd3/csv+o5n21J2JP8YI+baCEUgBfS9cTyOgjLOf/5mvrrhRcozC1EsKj2vG826V79GeENNKiqKcZc7mfjiHUEdV2OIDbXSv010ww1PMa1nMdrEpLnRdZShNc3PCz74Dk+VC91lzLpZvF5MUpfkbT1sDHZK08SGalEITY5gzYhOfJBrZLR+N+tDlIWLKBx7PuEzX+LxfT8z94O/cPfyuUZ8nnfJNkT3MCDnoH9f8qab/JnOsqAAuaym+Mty6lRoEl1K1pdpeBNrcUp44YgLAVy1vZKbdzqQUuKRktWlDYg/6q1UVW/G71aH4NYBl1M45nzu+OZdYj1OrAJ6apWMfuuV6lhGH3VlOteV6FNfWToTk1PMsPYxdIgNRW3iuFAfQgh/0oYl1Ianyk10xyTydxwBoPxogd+nVOoSj8N9rPhrRJeMpVdBREoMX01/EaRk8+wfyf5lP+3H9OGiWfcy8FeTjM/0LvfW/tYJIRh014V0HHf8TOLK/FI8Tjeu8iraDO9BWWYhSCNeumBXBq7KKjbO+o4Pxj9B7pZDABxevLWOT2w6UjdWc9bP/JpDP22iLLMQR34pYJhJe6qcDLnvMqSUSF2nw9i+DLr7wmb7fB8xIRYm9Uhs9v02B+YMoMmZia7DkCGG1Yovo3TIEM7ZdIhcpTtuxYJqMww/h/7mUnZ/sYry7CIylu8AIUjo34H8belIJEkDOpO/Ld2IgakjLtEWHYZeWcWV4zvy4aEKKnX8SRXTti7nf/1G8+XAy7mpSOPpwVfwR5fOjZuXMSxzH07VyrvnX0Vfdxk3baguYSczjyInjDcSSA4fhosv8n9uepXOlB0OeoYJLoy1MCbawrx8DzrG8On2eTrrcFWChRINNpdrFNdvhVX9uce8IP2F3D3evwOPX5eSGZ1DiBp4HTFWwYLZT1BuCyHaWYmoLf7Ab93TlEQfE5OWQAjBOR1iSQy3sfFoCZoum02mjHv+ZqNWcGosWWv3kDq0O5ve+sE71kDqsO70u2U89sgwDv60iQMLNqJYVFS7FXdFFYrVgu7RSOrfidxNB+v8DGFRkR6N7lcO58iKnTV9ASXoTg/rZ36DxW7j4I+bKNx9lPje7SnclQFSkti3IxW5xUhNJ7pzMgW7jtbYf/qybST26VijTOaPD7xFZJs4Cvdlce2XfyQsPoqS8irQJZbwEMO02arQdkQaUR0TKT6Yw8FFm09M/wVaffnQJalDuzHkN5ey+PF3DRcHVYCE/fM30u7cXkR3TCKqfYKRbdzMdE8IZ0i7GEQrHb/MWsAmZx51iT9FAV3HPXgICzcXkRHfEd59jfDU6qBc+6XXE+qp4r2UsZRmFJDYt6NRvulIPoV7jqI53dzDZsqx8p7oU+Mj77g2jWsv6MCf9lfyQ7HOoyvnMn3rciOpYtTkmrYpXnE4fetydselsqFNN6Zvq7ZeUT75BGXhIhwTJvKXpH5sCY/n8g7RTE+y8tC+KnY7dMq8Yk4FRkQpTIhR+Szfw6WxFv5RK75vRKRCmCpoZxe8m3Ns4fT6uHvdAlI0B6k3Xscv5Tri62+I8JZuQwi62OGWpXNJiQ5n0A2TQdex/Pqe6h3cf3/NRJa6ZvxaqBRec2LWAj57qHR52JxZwpFiB0KIZk8QqcwrYeVfP2PQry9i2/tL6DXlXJL6dQLgwA+/sPL5T+l68RB2fvYzITHh9LvpfDa99QOpw3uQvmRrvftN7NuBi16/l/xtR5j/638F1RdrRAiKRUWoCvHd23Dhv36NlBLN5cFityJ1Hc2t8eHEJ+k7fSwD75zEtg+XsHfe2hoiM753e6N85+g+lGbkk75kq7+EmjU8hPZj+3Dox01M/t/v+GLK/x03i7c2wqIw6K4LCUuK4cD8Df7ldB/drziHo6t3cf38GUhd5/Nr/kZZZgHokokv30nywC5Y7FaERcFVWok9unksWhQBk3okERtma7jxKcCsBWxydlCf+ANQFKwbNzBx0GAsW5ZR9PB0FnzwnbFdSnqO6krvz9+l88QBrHr5MeyxkUbQta7zxbV/Y/qhH7mafXxBtxrCRFEVsvMqOVyl80uFrJFRWyNpwocQvDxqMhYp6ZWbzvRty/m432je7X0Zs92SL8+bzB0S3i+ChV3b4FRU/pPtpm+4yqAIhfXl1Qu5EtjnkAyKgB2VkoOOY5M7VpcZ7Rslo6Qk0uXgyq3L0eOtdLnqWpa4HVy7dTkWAf8ZfSV3LZ/HpE3L8IwfD5qG+vxfa+6jdiJLU2L7Wrn4Mzm7CLNZGNkpniGazpFiB3nlTvIrXLg8RpKGTRXEhdkMT9Km7D8xmokvGTFoY5+9oca2DmP70v683ljD7Az81STs0WEoqkrfG8ex7rWvUWwWdFfdD3gepwdnSSXbP1xizIBpDffOHhtO+RHDSiazeC8fXvAUg399EWFJ0djCQ9j2wRLSl2xDsVrYPOdHNr39A+c+OdW/rO2jcPdR+t44jj1frcZRWF4jYcNdUcWB74zKJV/d8KIh/uqayasHW3goA26biFAU9n+3gfCUWKqKy0GCYlMZcMdERv7+asDYZUVOET0uH86RFTsoPphD+/OqvReaU/xd3juFMFvrl1ct0kMhRBwwG5gE5AOPSyk/rKftrd62joCXL5NSLjnJ3TQ5HVEUiI4+VvwFbLf8shF98BCsoeFYrSpuzRh0Nv/xOVSblZ4fzUYg2Pjo04CxBPRY2wyGHzLE3ywG1FwG1XQG9Ywh1SaIUCHPUzOjti40wIOgX266XyheH63wUa6L93I14sZfxYFNe3B53y+AQrekW6iKdzHW+Gwg3y35Z6Yh/BzHGTcbdUPyZvx2DVE4Z+Ei4oDJ905H/9TK1IWLmFJ0EHEkA33CeLj2WtTnn0ccyUD2748YOxZee63OfZoJHiZnAjZVoWt8OF3rMfXdmFHM7rzyOrc1lcAaw6FxxnJr/s4jxPdsR++pY8j4eZdhUVLHF90aaiM0LpL2Y/qSvmx7UJ/nE38AUtMJiQnDWVrJ1ncWYo+LYPDdF5H9ywFcJZUIq8rgX19I9yvOYeXzn9XYj9R0tv53kaGMjuOy4MtUbky8r2JR/OPHxbPuIW97OjGdk7GG2XGWVrL25a8476nrjbaqwvULnvEb9zdmpjFYVEUwrmvCaSH+oOVmAP+FUT40GRgIfCuE2CylrO/KXCWlPO9Udc7kNGfJEmMmsLb486EoKBs3EKEoXAsUVDhZd6SY0ioPm39niL60j2YDsPHRpxn8wjOk/fw1X6o9mKX1q2NGD3r1iifHJTkamLh2HGFjFYIye81Zwo/zvVYPwP9luCG+EyEeN5qqEGKx8NwhJ8469hVEaF/dfcCo41sXArg4TmXIndPQo9RqY+cpUxB79hhir11b9EDxN2AAYuNGePbZmkbWgZ6NZmyfyVlA/9Qo9uaXnwyN4ac8q5B5N77E5P/9jrjubUgd0o3i/XV71LUZkYajoPQYX736EBblmNroxQdz2PDPb0ERlOcW88N9bwKghFjRq9wcXrqVjf/+rp4d0mjBpVjVeusfC4sxtk+Z9yd/fJ3UdX747Rv0v/MCEnt3IHP1bvbOW0vywC7Ep7Ulvmc77FFhQE0x3RwowhB/Y7skkBhhb9Z9n0xOeQygECIcKAL6Sin3eF97DzgqpfxDHe1vBe5sigA042tMGkOJw01hpQukJOXpxwn99z/923ZOuZWXiruSsWo3noqAMkPeWT6tbzLFo7o0KGjsAlyBD8FBxsCpwKhIwfKyBr6vQexPeKt2SI59GFcwBrP/2/oDjopKJv16uvG6Ny7Rv5t2bREZAcHgtWdcj1fPOZh+nkaYMYAmdZFR4mD5gYKGGzYSXdP55tZXKDtagLPUgS0ihPCkaDpfOJiMn3eQu/nQsW+qx9KqLqI6JVEamCgSJIkDOlN6OBdncUWj31ubugSoscGYRexx1UgO/vgLl825n9iuqSx96gOOLN2O22E8IktvBSQjhEcS0yWZqz75fbMnYwhAEYLUKDvDO8Rht7ROY5X6xqiW6G0PQPOJPy+bgT71tAcYJITIF0LsEUI8KYQ4PeZXTU4rokOtdI4Pp3NCBKH/nFlj26Y/PMv4/7uV7pcHfIek5B42c5PczqOXdvd77tVHqIBH2lmZ1S3gCdEXR1jfm7zbNWBjec0RvPZ77l63gEdXzq1/CcWbfHLXugX0DKl5P+hgF9yebOGRdhaeaGdlrN3FJb8sQ/nkEwD022+vua8LL6r5d12l2wLtXGrP9p0h4s/EpD7aRYfWu0R8IiiqQp/pY3GVOUBKXOUOek49j4F3XMCYZ26oM9i322XD6HPD2Ab33e3SoVzx34dQQxo/Q5a3+SC63pDRVHDEpx1baSS6UxLdrxzOhBdvZ8DtE7lx8V+I6ZICQP9bxqNYVaSmo6gKnS8chNc5GzXEyuXvPtRs4k9VBBZFoAjoGBvKxB6JjO6S0GrF3/FoCSEVAZTUeq0EiKyjLcAyoC9wGEMkfowRBPXXuhoLIe4C7gLo0KFDXU1MTI6PlPDggzVeGvzCDDY+OoOkfp3Y/cVqdG9GsC8pJHvgMOSKtQTKKn+dXS9VEpaVaBx1HhuoHcyw6QHSQiHVpnB+jIWFRW7WlUscXtuZSJeD6VuXowBfT5jM051DuX9fFUUecOvVmcdfDBjNDocxE+jrrQR+3bZamPpL2C1cBEJBdOlSoy9i9uyanaurdBscU7LPxByjziaGd4hFl5KDhc1bUzhlSFekLo0Sbh6N1CFGbdrItnEoNiu6MyC4QxHYI8OwRxvLn75ZtNrVQgCKDuaw4s8fV8fjNRJVVYjq1Y4h91xC5ro9ZKzcVeeydMrQbqQM7orUdTa//SNCUfyzdoDX4kY1PPo8OmFJ0Vzy1m/9sY+1CU2MRkod1W5Fc7qxR4RhCbHS5eIh7P1qLVVFFVhDm740KwQkhNloEx2C3aISF2olOtSKcpqPa80uAIUQS4D6HjV+Bu4Domq9HgWU1fUGKeWBgD+3CiGeBX5HPQJQSvkm8CYYyytBd9zEBKoNin0ZrAAzZ5L20RwA9IeeYut/F3FL3jIuKdzHj+1HsPOeP9AmMY5B/dO4ujKDjAonOyp0ftPWzoP7HOzyZmaMjFRIsCqsKA3eikWlOsbPLaFCg6UlOpcnCG5JsWHL9dA7VDAzy8MLoyYjwCjNlmRF7zWVX7exES4g/4OPmea1pXlhxGQsisDj/XZYBdzXptYTvxCGCAyPQJk3z3gtMK4PYMAA2LjREH/HS+o4zQfJ5sYco84uRnSMIznSzprDRc3mHyiEYNDdF9H3hrHs+GQFikWlMq+E5c/+j+EPXcGG174lpmsy+dvSufQ/D6A53UbcmxD0uGI4S554n/P/chM7P/+ZTW/+YJhEK4IBt45n2dMf1fow6l8+rrVNsagU7MwgY+VOOo7rx9FVuxl070Vs+c8iNIcLoSjYo8MYcu8lJA/ozKr/+5zRM6ax4V/foXk8SI+Oq8xB2dECpC6Rmo4lzI6nykVIbES952Pti3OxR4VzzWf3k7v1MIpVZfA9FxMSE87guy+q4VHYWFQh6JkcQb+UqFbr59dUml0ASinHHW+7NwbQIoToLqXc6315ABBcahL+OHkTk+alruoUGGbHymuv+UVg/7Qq+u3exM7rbiP99kfokhgNUjK+d0eG7zjC8DAbV3uN3zuGKAyLEliF4GCVzr1trHxVYAhAiSHwdO/PQFmYqEKpbsRN+wSgDmS4jJnFR/Y7UTG01cJibwMh+MeoyfQJU+jvjde7bOpU+PgTLFsNn8HhV1xL7N4qij3Gfh7vYGNcjIVoi/crZbVCXByiew+U9u0R23dUd2pmwLL4gAGwebMh/l56yXjNzOw1MamTznHhtIkMYd2RIjJKqk5YCIYlRjPoLqNqRd8bx3F48VYy1+7h6MpdJPfvxHlPXUfniQMpzyoiIrW6ZFti344AXPLGbwBI6teZpAGd6XvDWDbOmk9YciyhCZGUeTOALSE2PC73MWElapgN3enBEmrFXe5EqApS06nMKwUBO/63nJ2f/Yz06BQdyPYngEhdB0UQ2TaevO3p7PrsZ3pOOZfRz0wjdWg3NJeHtS99xZ55a5C6JGVoNya+fCeZq3bVKb4OLdzMxtfnU3okH6lLvv3VP+k7fQxpV4+qca6agiqM+vLndo4n6TRK7GgMp3wJWEpZIYT4AnhWCHEnRhbwlcCoutoLIS4GNkopc4QQPYEngU9PVX9NzhKOU5pMefVVyt0aEa//2y8Cd19/O5t+N4Mw73KKRdcYdnDLMbt9tnOI//f/5bq4eKsDATzYzsqX+R6ynJJBkQprS2tl3Oneih51JEv4BKMGht9VwLa2IYKUG6agRxiZu/7sXa/JdLIOJW5J/wiV7ZU6qqBa/FksqDfehLBYjp0JDRR/Pm+/wJk/UwSamBwXu1XlvC4JeHRJelElhworyC13nbAY9DhcrH1pLpX5hvja+PoCUoZ0o/PEgTXEX120G9WTdqN6oms6YUkx7P16LWVHCuh/+0ScJRXs/nwV7cf0IXPNHsP4usqwObBYLTgrXbjLvUkXAd5+vgOSHr3a+iWAEY9OZvmMjzi6aheKVWXXZyvZ9enPXPHBI8T3aIuzzIE9MgxrmB1PpRNbmJ1OEwbU2f/Efh2N2UvvWKl7NFKHdW/aiQwgxKLQJyWSLnHhWNTTL7YvWFoqmeJeYA6QCxQA9/gsYIQQHYAdQG8pZTowAXhHCBEB5ADvA8+3SK9NzlyOV5pMCCL+/U94/d/+l3753Qx/G6uqMDDOQmx8NOQ5jfq+Ws3YmkpNMvOo2z+b92GOh3d7haJLiLMKvitws9uhc16Uyv37nLilkdQRGVB5w0ekAhW6sXTrlqDqGh5FRQI5lR7e/3k/90+ZUiNrV586FYQgROjM3/kNcVFhZFx4GSG++qaKguiRZoi/wPNRVzk33/ZAOxdFMe1dTEyCwKIIusSH08WbIFLkcLE7t5zM0iq/oXRjsEeFcfEbv+Hzq/+KYrWg2lQu+vevG7WPksO5fHfna0gpUawqW+b8RJsRaVz92R+I6ZxMRW4xq1/4koF3TmLx7/9LaXrecfenhtlQFAXN6fZbufhmCTPX7qXDmD6UHM6lPKsQoSqMe/5m4nu0BTCWbJ+IQrVZapatq4PwpBgS+3WkcE8mALFdkolq3/S6u9EhFoa1jyEh3H7GLffWRYsIQCllITC5nm3pGIkivr8fBR49NT0zOauZMaNuexLfbFgAF77xN/L//DcSIuzV5X46pVa/xeVC37QJuXMH6DqK1GrELagCYizVr1wSb+US7++/by95Pt3pT+oAaojAMFUwJ83Gv9cd4qBb4eKKLF5vNxAAt2rhi/C2PPSXv9Tor/LNt+iXX4b66ackLluMPmE8bW2iOlvXbkcZPLjmcT/9tJEME1jOzfe3TwAGimUz4cPEpNHEhtoY0dEoSen0aKw4WEBeI2cGi/ZnExIXSa9rR7HlvwupKipv1NJnbJcUxv/jNhY+Ogep6USkxnLBy3eieg2Nw5NimPD32wC48sNHeH/M48h6fP3UECtjnp7O0iffp/+tE9j9xSo0pxuXt/zbni9X0+u60VTml5I6tDt52w5TmVudFxrTOdn/e3xa2wb7Ht0pmQte/RXW8BCyN+wL+pgDEUC/lCj6pNZOTzizMe1UTEwCqU/8BS4NP/QQsa++SmyotXrWq/ZubDbU4cORQ4dCeTnhwBOdtvOPr9cSKiTPdq4/pqTQo6MKwZfjr0IBpm9dThuroODqa/ihWPL3LjYiP/+MFxcuQp8wHm3KFD7dXkWBW6IAHSuLDWPmtDTEjh3w8MMor76K2LULsXcv+sSJ6FOuNWbtFAViYlEnTUKEhh573IHiTwh45RXjZ+BS7/HOn4mJSdDYLSrndY7n6x3ZRoWiIOkwti8dRvdBsar0v20iilVt9GeXZxZgCbHRZnh3jizfXu8MmCO/FHtMuFFto6TSqBdsUTj3iSlseutHBt97CW2GdefmZX9DsaoM/NWF5O9I55tbX0WxqNiiQhnxu6tIu2oEsd1SOfD9L6QM6dro/vroO7065zRlUJfjtKwbRUCbqJCzTvyBKQBNTOqnvrjARpQzE4oCUcbAcsWkkVwxaaQRCO3xICsqICMDWVaGPHgAKg2riNtT7dycYsMiBHqv6WifWBm3aBF6rIUrp071mzL74vqEqvJmjxBmHXVhTz/E/V+9jezRA7F7d3WSxtKliE2bkP37w0svIcrLwWZD6dQJER8f3HGDWc7NxOQkY7eojOoYx4qDhWhBFmpQVMUIDAb/rF1j6XrJULpePAR7dDilR/LrFZFR7RO5fsEzCEUghED3aCgWlR8ffIvoTkm0G5Hm7Uh138ozC0ke2IW0a0aycdZ8PA4Xcd3bUJFTzNIn3uOiWfcS3sRkjRNBERBhs/hnYM82TnklkFOJ6bJv0mSOJ4KC2d7Yj9N1tC+/gMLCOvtSuxKHPmE8+ptvoiYlo+/cgczMRHl7Nso33yDvvRfx2ms1kzTAqNaxaVNw/Z0xA4qL62/nO/6YGKPtWYxZCcTkZHCwsKJZrWNOFnvmrWH7+0spPpyDEILojkkMvHMSnS8YWO97pJR8OfX/KD1SgNQ0hKJgiwzlmi8e95drO9moQhAZYmFCt0Rsp6GJc2Oob4wyZwBNTOrieEkhvu3NmPQgFAX1qqvR16xB7thu1DIO+Cx96tQaApAF32PxJmyow4Ybr/2yCbp2RQTOVAYKwA0bDFEYTH/ri4cM6JM582dicvLoHBeORVFYcbD5y8k1JymDurB5zk8gfcm40m83Ux9CCEb9cQoL7pll+P1JnXMemXzKxJ8C9EqOpE9K5Glv5nwimALQxKQ+TrEIEoqCOnIkjByJnpuLLC1FhIUiEpMQv/tdjbbKo48e+9mB/a0jccW/HKwE+bTb0HGdxQOnicmpoH1MKP1SotiaXdrSXamXqPaJxPdoS9mRfACSB3Ru0H4GILpjErpbwxYZiqvMQXhKw+9pDiJsKmO7JhDVhHJ3ZxqmADQxOR4tJIKUpCRISqo3CaXe+LtA8Rfse0xMTFotvVMiyShxUORoWnm2U0Fc9zb0mnIuHqeb4gM5Qb1HtVkZ9fi19LhyBAcXbiY86eTHAIZaVS7qmYz1DPb2awymADQxaa00JQmlGRJXTExMWg+KEIztmsD3u3OocjfeJ/BUMPBXk/y/tz+vd1DvsUWE0PPacwHoetHgBlqfGALD3PmCHomm+AvAFIAmJq2RpmTigpm9a2JyBhJqVbkwLZmFe/OodHlohEOMH0X4K7KdVaiKIC7Uyrmd4wltgj3OmYwpAE1MWiNNTUI5hYkrJiYmp45Qq8rFPZPZmlXCnrwKdCmDmg1UhZF0MaRdDOE2lWUHCtD04N7b2lAAiyrQJXgaULMWRSAEDGoTTZf48LOiskdjMW1gTExaM8dLQqlve1PeY9JkTBsYk1NNWZWbXXnlHCysRGBk3gbOClq8JR5VIUhLiqBrfDgh3tmvCpeHVYcKKXK4GxRRrQkBJEXaGdc1gezSKvbmV1BQ6cKlGcb5ALqUWBRBXJiNbgkRtI0OOauzfH3UN0ad0QJQCJEHHG7m3SYA+c28z7MJ8/w1HfPcnRgn6/x1lFI2qQCpOUa1Osxzd2KY56/pnMxzV+cYdUYLwJOBEGJ9U5/2TczzdyKY5+7EOFvO39lynCcD89ydGOb5azotce7MdBgTExMTExMTk7MMUwCamJiYmJiYmJxlmAKw8bzZ0h04zTHPX9Mxz92Jcbacv7PlOE8G5rk7Mczz13RO+bkzYwBNTExMTExMTM4yzBlAExMTExMTE5OzDFMAmpiYmJiYmJicZZgC0MTExMTExMTkLMMUgE1ECPFbIcR6IYRTCPFOS/entSOEiBNCfCmEqBBCHBZCTG/pPp0umNda0xFC2IUQs73XXJkQ4hchxMUt3a+TjXnNNA5zfGo65rXWdFp6fDJrATedTOA54EIgtIX7cjrwL8AFJAMDgW+FEJullNtbtFenB+a11nQswBFgLJAOXAJ8IoToJ6U81JIdO8mY10zjMMenpmNea02nRccnMwv4BBFCPAe0k1Le2tJ9aa0IIcKBIqCvlHKP97X3gKNSyj+0aOdOI8xrrXkQQmwBnpFSft7SfTnZmNdMw5jjU/NgXmvNw6kcn8wlYJNTQQ9A8w2uXjYDfVqoPyZnKUKIZIzr0ZzZMfFhjk8mrYJTPT6ZAtDkVBABlNR6rQSIbIG+mJylCCGswAfAf6WUu1q6PyatBnN8MmlxWmJ8MgVgHQghlgghZD3/VrR0/05DyoGoWq9FAWUt0BeTsxAhhAK8hxHn9dsW7s4JYY5PzY45Ppm0KC01PplJIHUgpRzX0n04w9gDWIQQ3aWUe72vDcBchjM5BQghBDAbI8D/Eimlu4W7dEKY41OzY45PJi1GS45P5gxgExFCWIQQIYAKqEKIECGEKajrQEpZAXwBPCuECBdCnAtcifHEY9IA5rV2wswCegGXSykdLd2ZU4F5zQSPOT6dGOa1dsK02PhkCsCm8yfAAfwBuNH7+59atEetm3sxLAJygY+Ae0yLhaAxr7UmIoToCNyNYe2RLYQo9/67oWV7dtIxr5nGYY5PTce81ppIS49Ppg2MiYmJiYmJiclZhjkDaGJiYmJiYmJylmEKQBMTExMTExOTswxTAJqYmJiYmJiYnGWYAtDExMTExMTE5CzDFIAmJiYmJiYmJmcZpgA0MTExMTExMTnLMAWgiYmJiYmJiclZhikATc5KhBBThBBOrxGn77VXhRD7hRDJLdk3ExMTE3OMMjnZmEbQJmcl3vqL64BfpJS/EkI8CjwGnBtQD9TExMSkRTDHKJOTjVmvz+SsREophRB/BL4VQuwHngDG+wZWIcQ8YDSwUEp5bQt21cTE5CzEHKNMTjbmDKDJWY0QYiUwHKMQ9/yA188HIoBbzMHVxMSkpTDHKJOThRkDaHLWIoQYDwwABJATuE1KuRgoa4l+mZiYmIA5RpmcXEwBaHJWIoQYAHwB3AfMBf7aoh0yMTExCcAco0xONmYMoMlZhzer7jvgJSnlHCHEWmCLEGKclHJJy/bOxMTkbMcco0xOBeYMoMlZhRAiDlgAfCOlfBZASrkN+BTzCdvExKSFMccok1OFOQNoclYhpSwEetXx+nUt0B0TExOTGphjlMmpwswCNjGpAyHETxjB1+FAITBFSrmqZXtlYmJiYmCOUSYniikATUxMTExMTEzOMswYQBMTExMTExOTswxTAJqYmJiYmJiYnGWYAtDExMTExMTE5CzDPBD4xgAAAFBJREFUFIAmJiYmJiYmJmcZpgA0MTExMTExMTnLMAWgiYmJiYmJiclZhikATUxMTExMTEzOMkwBaGJiYmJiYmJylmEKQBMTExMTExOTs4z/B3fIBjiL2CtgAAAAAElFTkSuQmCC\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(9, 3.2))\n", "\n", "plt.subplot(121)\n", "plot_dbscan(dbscan, X, size=100)\n", "\n", "plt.subplot(122)\n", "plot_dbscan(dbscan2, X, size=600, show_ylabels=False)\n", "\n", "save_fig(\"dbscan_plot\")\n", "plt.show()\n" ] }, { "cell_type": "code", "execution_count": 122, "metadata": {}, "outputs": [], "source": [ "dbscan = dbscan2" ] }, { "cell_type": "code", "execution_count": 123, "metadata": {}, "outputs": [], "source": [ "from sklearn.neighbors import KNeighborsClassifier" ] }, { "cell_type": "code", "execution_count": 124, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "KNeighborsClassifier(n_neighbors=50)" ] }, "execution_count": 124, "metadata": {}, "output_type": "execute_result" } ], "source": [ "knn = KNeighborsClassifier(n_neighbors=50)\n", "knn.fit(dbscan.components_, dbscan.labels_[dbscan.core_sample_indices_])" ] }, { "cell_type": "code", "execution_count": 125, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([1, 0, 1, 0])" ] }, "execution_count": 125, "metadata": {}, "output_type": "execute_result" } ], "source": [ "X_new = np.array([[-0.5, 0], [0, 0.5], [1, -0.1], [2, 1]])\n", "knn.predict(X_new)" ] }, { "cell_type": "code", "execution_count": 126, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([[0.18, 0.82],\n", " [1. , 0. ],\n", " [0.12, 0.88],\n", " [1. , 0. ]])" ] }, "execution_count": 126, "metadata": {}, "output_type": "execute_result" } ], "source": [ "knn.predict_proba(X_new)" ] }, { "cell_type": "code", "execution_count": 127, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Saving figure cluster_classification_plot\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(6, 3))\n", "plot_decision_boundaries(knn, X, show_centroids=False)\n", "plt.scatter(X_new[:, 0], X_new[:, 1], c=\"b\", marker=\"+\", s=200, zorder=10)\n", "save_fig(\"cluster_classification_plot\")\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 128, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([-1, 0, 1, -1])" ] }, "execution_count": 128, "metadata": {}, "output_type": "execute_result" } ], "source": [ "y_dist, y_pred_idx = knn.kneighbors(X_new, n_neighbors=1)\n", "y_pred = dbscan.labels_[dbscan.core_sample_indices_][y_pred_idx]\n", "y_pred[y_dist > 0.2] = -1\n", "y_pred.ravel()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Other Clustering Algorithms" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Spectral Clustering" ] }, { "cell_type": "code", "execution_count": 129, "metadata": {}, "outputs": [], "source": [ "from sklearn.cluster import SpectralClustering" ] }, { "cell_type": "code", "execution_count": 130, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "SpectralClustering(gamma=100, n_clusters=2, random_state=42)" ] }, "execution_count": 130, "metadata": {}, "output_type": "execute_result" } ], "source": [ "sc1 = SpectralClustering(n_clusters=2, gamma=100, random_state=42)\n", "sc1.fit(X)" ] }, { "cell_type": "code", "execution_count": 131, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "SpectralClustering(gamma=1, n_clusters=2, random_state=42)" ] }, "execution_count": 131, "metadata": {}, "output_type": "execute_result" } ], "source": [ "sc2 = SpectralClustering(n_clusters=2, gamma=1, random_state=42)\n", "sc2.fit(X)" ] }, { "cell_type": "code", "execution_count": 132, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "0.04251990648936265" ] }, "execution_count": 132, "metadata": {}, "output_type": "execute_result" } ], "source": [ "np.percentile(sc1.affinity_matrix_, 95)" ] }, { "cell_type": "code", "execution_count": 133, "metadata": {}, "outputs": [], "source": [ "def plot_spectral_clustering(sc, X, size, alpha, show_xlabels=True, show_ylabels=True):\n", " plt.scatter(X[:, 0], X[:, 1], marker='o', s=size, c='gray', cmap=\"Paired\", alpha=alpha)\n", " plt.scatter(X[:, 0], X[:, 1], marker='o', s=30, c='w')\n", " plt.scatter(X[:, 0], X[:, 1], marker='.', s=10, c=sc.labels_, cmap=\"Paired\")\n", " \n", " if show_xlabels:\n", " plt.xlabel(\"$x_1$\", fontsize=14)\n", " else:\n", " plt.tick_params(labelbottom=False)\n", " if show_ylabels:\n", " plt.ylabel(\"$x_2$\", fontsize=14, rotation=0)\n", " else:\n", " plt.tick_params(labelleft=False)\n", " plt.title(\"RBF gamma={}\".format(sc.gamma), fontsize=14)" ] }, { "cell_type": "code", "execution_count": 134, "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=(9, 3.2))\n", "\n", "plt.subplot(121)\n", "plot_spectral_clustering(sc1, X, size=500, alpha=0.1)\n", "\n", "plt.subplot(122)\n", "plot_spectral_clustering(sc2, X, size=4000, alpha=0.01, show_ylabels=False)\n", "\n", "plt.show()\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Agglomerative Clustering" ] }, { "cell_type": "code", "execution_count": 135, "metadata": {}, "outputs": [], "source": [ "from sklearn.cluster import AgglomerativeClustering" ] }, { "cell_type": "code", "execution_count": 136, "metadata": {}, "outputs": [], "source": [ "X = np.array([0, 2, 5, 8.5]).reshape(-1, 1)\n", "agg = AgglomerativeClustering(linkage=\"complete\").fit(X)" ] }, { "cell_type": "code", "execution_count": 137, "metadata": {}, "outputs": [], "source": [ "def learned_parameters(estimator):\n", " return [attrib for attrib in dir(estimator)\n", " if attrib.endswith(\"_\") and not attrib.startswith(\"_\")]" ] }, { "cell_type": "code", "execution_count": 138, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "['children_',\n", " 'labels_',\n", " 'n_clusters_',\n", " 'n_connected_components_',\n", " 'n_features_in_',\n", " 'n_leaves_']" ] }, "execution_count": 138, "metadata": {}, "output_type": "execute_result" } ], "source": [ "learned_parameters(agg)" ] }, { "cell_type": "code", "execution_count": 139, "metadata": { "scrolled": true }, "outputs": [ { "data": { "text/plain": [ "array([[0, 1],\n", " [2, 3],\n", " [4, 5]])" ] }, "execution_count": 139, "metadata": {}, "output_type": "execute_result" } ], "source": [ "agg.children_" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Gaussian Mixtures" ] }, { "cell_type": "code", "execution_count": 140, "metadata": {}, "outputs": [], "source": [ "X1, y1 = make_blobs(n_samples=1000, centers=((4, -4), (0, 0)), random_state=42)\n", "X1 = X1.dot(np.array([[0.374, 0.95], [0.732, 0.598]]))\n", "X2, y2 = make_blobs(n_samples=250, centers=1, random_state=42)\n", "X2 = X2 + [6, -8]\n", "X = np.r_[X1, X2]\n", "y = np.r_[y1, y2]" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's train a Gaussian mixture model on the previous dataset:" ] }, { "cell_type": "code", "execution_count": 141, "metadata": {}, "outputs": [], "source": [ "from sklearn.mixture import GaussianMixture" ] }, { "cell_type": "code", "execution_count": 142, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "GaussianMixture(n_components=3, n_init=10, random_state=42)" ] }, "execution_count": 142, "metadata": {}, "output_type": "execute_result" } ], "source": [ "gm = GaussianMixture(n_components=3, n_init=10, random_state=42)\n", "gm.fit(X)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's look at the parameters that the EM algorithm estimated:" ] }, { "cell_type": "code", "execution_count": 143, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([0.39054348, 0.2093669 , 0.40008962])" ] }, "execution_count": 143, "metadata": {}, "output_type": "execute_result" } ], "source": [ "gm.weights_" ] }, { "cell_type": "code", "execution_count": 144, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([[ 0.05224874, 0.07631976],\n", " [ 3.40196611, 1.05838748],\n", " [-1.40754214, 1.42716873]])" ] }, "execution_count": 144, "metadata": {}, "output_type": "execute_result" } ], "source": [ "gm.means_" ] }, { "cell_type": "code", "execution_count": 145, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([[[ 0.6890309 , 0.79717058],\n", " [ 0.79717058, 1.21367348]],\n", "\n", " [[ 1.14296668, -0.03114176],\n", " [-0.03114176, 0.9545003 ]],\n", "\n", " [[ 0.63496849, 0.7298512 ],\n", " [ 0.7298512 , 1.16112807]]])" ] }, "execution_count": 145, "metadata": {}, "output_type": "execute_result" } ], "source": [ "gm.covariances_" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Did the algorithm actually converge?" ] }, { "cell_type": "code", "execution_count": 146, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "True" ] }, "execution_count": 146, "metadata": {}, "output_type": "execute_result" } ], "source": [ "gm.converged_" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Yes, good. How many iterations did it take?" ] }, { "cell_type": "code", "execution_count": 147, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "4" ] }, "execution_count": 147, "metadata": {}, "output_type": "execute_result" } ], "source": [ "gm.n_iter_" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "You can now use the model to predict which cluster each instance belongs to (hard clustering) or the probabilities that it came from each cluster. For this, just use `predict()` method or the `predict_proba()` method:" ] }, { "cell_type": "code", "execution_count": 148, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([0, 0, 2, ..., 1, 1, 1])" ] }, "execution_count": 148, "metadata": {}, "output_type": "execute_result" } ], "source": [ "gm.predict(X)" ] }, { "cell_type": "code", "execution_count": 149, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([[9.77227791e-01, 2.27715290e-02, 6.79898914e-07],\n", " [9.83288385e-01, 1.60345103e-02, 6.77104389e-04],\n", " [7.51824662e-05, 1.90251273e-06, 9.99922915e-01],\n", " ...,\n", " [4.35053542e-07, 9.99999565e-01, 2.17938894e-26],\n", " [5.27837047e-16, 1.00000000e+00, 1.50679490e-41],\n", " [2.32355608e-15, 1.00000000e+00, 8.21915701e-41]])" ] }, "execution_count": 149, "metadata": {}, "output_type": "execute_result" } ], "source": [ "gm.predict_proba(X)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This is a generative model, so you can sample new instances from it (and get their labels):" ] }, { "cell_type": "code", "execution_count": 150, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([[-0.8690223 , -0.32680051],\n", " [ 0.29945755, 0.2841852 ],\n", " [ 1.85027284, 2.06556913],\n", " [ 3.98260019, 1.50041446],\n", " [ 3.82006355, 0.53143606],\n", " [-1.04015332, 0.7864941 ]])" ] }, "execution_count": 150, "metadata": {}, "output_type": "execute_result" } ], "source": [ "X_new, y_new = gm.sample(6)\n", "X_new" ] }, { "cell_type": "code", "execution_count": 151, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([0, 0, 1, 1, 1, 2])" ] }, "execution_count": 151, "metadata": {}, "output_type": "execute_result" } ], "source": [ "y_new" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Notice that they are sampled sequentially from each cluster." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "You can also estimate the log of the _probability density function_ (PDF) at any location using the `score_samples()` method:" ] }, { "cell_type": "code", "execution_count": 152, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([-2.60674489, -3.57074133, -3.33007348, ..., -3.51379355,\n", " -4.39643283, -3.8055665 ])" ] }, "execution_count": 152, "metadata": {}, "output_type": "execute_result" } ], "source": [ "gm.score_samples(X)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's check that the PDF integrates to 1 over the whole space. We just take a large square around the clusters, and chop it into a grid of tiny squares, then we compute the approximate probability that the instances will be generated in each tiny square (by multiplying the PDF at one corner of the tiny square by the area of the square), and finally summing all these probabilities). The result is very close to 1:" ] }, { "cell_type": "code", "execution_count": 153, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "0.9999999999271592" ] }, "execution_count": 153, "metadata": {}, "output_type": "execute_result" } ], "source": [ "resolution = 100\n", "grid = np.arange(-10, 10, 1 / resolution)\n", "xx, yy = np.meshgrid(grid, grid)\n", "X_full = np.vstack([xx.ravel(), yy.ravel()]).T\n", "\n", "pdf = np.exp(gm.score_samples(X_full))\n", "pdf_probas = pdf * (1 / resolution) ** 2\n", "pdf_probas.sum()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now let's plot the resulting decision boundaries (dashed lines) and density contours:" ] }, { "cell_type": "code", "execution_count": 154, "metadata": {}, "outputs": [], "source": [ "from matplotlib.colors import LogNorm\n", "\n", "def plot_gaussian_mixture(clusterer, X, resolution=1000, show_ylabels=True):\n", " mins = X.min(axis=0) - 0.1\n", " maxs = X.max(axis=0) + 0.1\n", " xx, yy = np.meshgrid(np.linspace(mins[0], maxs[0], resolution),\n", " np.linspace(mins[1], maxs[1], resolution))\n", " Z = -clusterer.score_samples(np.c_[xx.ravel(), yy.ravel()])\n", " Z = Z.reshape(xx.shape)\n", "\n", " plt.contourf(xx, yy, Z,\n", " norm=LogNorm(vmin=1.0, vmax=30.0),\n", " levels=np.logspace(0, 2, 12))\n", " plt.contour(xx, yy, Z,\n", " norm=LogNorm(vmin=1.0, vmax=30.0),\n", " levels=np.logspace(0, 2, 12),\n", " linewidths=1, colors='k')\n", "\n", " Z = clusterer.predict(np.c_[xx.ravel(), yy.ravel()])\n", " Z = Z.reshape(xx.shape)\n", " plt.contour(xx, yy, Z,\n", " linewidths=2, colors='r', linestyles='dashed')\n", " \n", " plt.plot(X[:, 0], X[:, 1], 'k.', markersize=2)\n", " plot_centroids(clusterer.means_, clusterer.weights_)\n", "\n", " plt.xlabel(\"$x_1$\", fontsize=14)\n", " if show_ylabels:\n", " plt.ylabel(\"$x_2$\", fontsize=14, rotation=0)\n", " else:\n", " plt.tick_params(labelleft=False)" ] }, { "cell_type": "code", "execution_count": 155, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Saving figure gaussian_mixtures_plot\n" ] }, { "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, 4))\n", "\n", "plot_gaussian_mixture(gm, X)\n", "\n", "save_fig(\"gaussian_mixtures_plot\")\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "You can impose constraints on the covariance matrices that the algorithm looks for by setting the `covariance_type` hyperparameter:\n", "* `\"full\"` (default): no constraint, all clusters can take on any ellipsoidal shape of any size.\n", "* `\"tied\"`: all clusters must have the same shape, which can be any ellipsoid (i.e., they all share the same covariance matrix).\n", "* `\"spherical\"`: all clusters must be spherical, but they can have different diameters (i.e., different variances).\n", "* `\"diag\"`: clusters can take on any ellipsoidal shape of any size, but the ellipsoid's axes must be parallel to the axes (i.e., the covariance matrices must be diagonal)." ] }, { "cell_type": "code", "execution_count": 156, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "GaussianMixture(covariance_type='diag', n_components=3, n_init=10,\n", " random_state=42)" ] }, "execution_count": 156, "metadata": {}, "output_type": "execute_result" } ], "source": [ "gm_full = GaussianMixture(n_components=3, n_init=10, covariance_type=\"full\", random_state=42)\n", "gm_tied = GaussianMixture(n_components=3, n_init=10, covariance_type=\"tied\", random_state=42)\n", "gm_spherical = GaussianMixture(n_components=3, n_init=10, covariance_type=\"spherical\", random_state=42)\n", "gm_diag = GaussianMixture(n_components=3, n_init=10, covariance_type=\"diag\", random_state=42)\n", "gm_full.fit(X)\n", "gm_tied.fit(X)\n", "gm_spherical.fit(X)\n", "gm_diag.fit(X)" ] }, { "cell_type": "code", "execution_count": 157, "metadata": {}, "outputs": [], "source": [ "def compare_gaussian_mixtures(gm1, gm2, X):\n", " plt.figure(figsize=(9, 4))\n", "\n", " plt.subplot(121)\n", " plot_gaussian_mixture(gm1, X)\n", " plt.title('covariance_type=\"{}\"'.format(gm1.covariance_type), fontsize=14)\n", "\n", " plt.subplot(122)\n", " plot_gaussian_mixture(gm2, X, show_ylabels=False)\n", " plt.title('covariance_type=\"{}\"'.format(gm2.covariance_type), fontsize=14)\n" ] }, { "cell_type": "code", "execution_count": 158, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Saving figure covariance_type_plot\n" ] }, { "data": { "image/png": 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\n", 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "compare_gaussian_mixtures(gm_full, gm_diag, X)\n", "plt.tight_layout()\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Anomaly Detection Using Gaussian Mixtures" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Gaussian Mixtures can be used for _anomaly detection_: instances located in low-density regions can be considered anomalies. You must define what density threshold you want to use. For example, in a manufacturing company that tries to detect defective products, the ratio of defective products is usually well-known. Say it is equal to 4%, then you can set the density threshold to be the value that results in having 4% of the instances located in areas below that threshold density:" ] }, { "cell_type": "code", "execution_count": 160, "metadata": {}, "outputs": [], "source": [ "densities = gm.score_samples(X)\n", "density_threshold = np.percentile(densities, 4)\n", "anomalies = X[densities < density_threshold]" ] }, { "cell_type": "code", "execution_count": 161, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Saving figure mixture_anomaly_detection_plot\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(8, 4))\n", "\n", "plot_gaussian_mixture(gm, X)\n", "plt.scatter(anomalies[:, 0], anomalies[:, 1], color='r', marker='*')\n", "plt.ylim(top=5.1)\n", "\n", "save_fig(\"mixture_anomaly_detection_plot\")\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Selecting the Number of Clusters" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We cannot use the inertia or the silhouette score because they both assume that the clusters are spherical. Instead, we can try to find the model that minimizes a theoretical information criterion such as the Bayesian Information Criterion (BIC) or the Akaike Information Criterion (AIC):\n", "\n", "${BIC} = {\\log(m)p - 2\\log({\\hat L})}$\n", "\n", "${AIC} = 2p - 2\\log(\\hat L)$\n", "\n", "* $m$ is the number of instances.\n", "* $p$ is the number of parameters learned by the model.\n", "* $\\hat L$ is the maximized value of the likelihood function of the model. This is the conditional probability of the observed data $\\mathbf{X}$, given the model and its optimized parameters.\n", "\n", "Both BIC and AIC penalize models that have more parameters to learn (e.g., more clusters), and reward models that fit the data well (i.e., models that give a high likelihood to the observed data)." ] }, { "cell_type": "code", "execution_count": 162, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "8189.662685850681" ] }, "execution_count": 162, "metadata": {}, "output_type": "execute_result" } ], "source": [ "gm.bic(X)" ] }, { "cell_type": "code", "execution_count": 163, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "8102.437405735643" ] }, "execution_count": 163, "metadata": {}, "output_type": "execute_result" } ], "source": [ "gm.aic(X)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We could compute the BIC manually like this:" ] }, { "cell_type": "code", "execution_count": 164, "metadata": {}, "outputs": [], "source": [ "n_clusters = 3\n", "n_dims = 2\n", "n_params_for_weights = n_clusters - 1\n", "n_params_for_means = n_clusters * n_dims\n", "n_params_for_covariance = n_clusters * n_dims * (n_dims + 1) // 2\n", "n_params = n_params_for_weights + n_params_for_means + n_params_for_covariance\n", "max_log_likelihood = gm.score(X) * len(X) # log(L^)\n", "bic = np.log(len(X)) * n_params - 2 * max_log_likelihood\n", "aic = 2 * n_params - 2 * max_log_likelihood" ] }, { "cell_type": "code", "execution_count": 165, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(8189.662685850681, 8102.437405735643)" ] }, "execution_count": 165, "metadata": {}, "output_type": "execute_result" } ], "source": [ "bic, aic" ] }, { "cell_type": "code", "execution_count": 166, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "17" ] }, "execution_count": 166, "metadata": {}, "output_type": "execute_result" } ], "source": [ "n_params" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "There's one weight per cluster, but the sum must be equal to 1, so we have one degree of freedom less, hence the -1. Similarly, the degrees of freedom for an $n \\times n$ covariance matrix is not $n^2$, but $1 + 2 + \\dots + n = \\dfrac{n (n+1)}{2}$." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's train Gaussian Mixture models with various values of $k$ and measure their BIC:" ] }, { "cell_type": "code", "execution_count": 167, "metadata": {}, "outputs": [], "source": [ "gms_per_k = [GaussianMixture(n_components=k, n_init=10, random_state=42).fit(X)\n", " for k in range(1, 11)]" ] }, { "cell_type": "code", "execution_count": 168, "metadata": {}, "outputs": [], "source": [ "bics = [model.bic(X) for model in gms_per_k]\n", "aics = [model.aic(X) for model in gms_per_k]" ] }, { "cell_type": "code", "execution_count": 169, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Saving figure aic_bic_vs_k_plot\n" ] }, { "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, 3))\n", "plt.plot(range(1, 11), bics, \"bo-\", label=\"BIC\")\n", "plt.plot(range(1, 11), aics, \"go--\", label=\"AIC\")\n", "plt.xlabel(\"$k$\", fontsize=14)\n", "plt.ylabel(\"Information Criterion\", fontsize=14)\n", "plt.axis([1, 9.5, np.min(aics) - 50, np.max(aics) + 50])\n", "plt.annotate('Minimum',\n", " xy=(3, bics[2]),\n", " xytext=(0.35, 0.6),\n", " textcoords='figure fraction',\n", " fontsize=14,\n", " arrowprops=dict(facecolor='black', shrink=0.1)\n", " )\n", "plt.legend()\n", "save_fig(\"aic_bic_vs_k_plot\")\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's search for best combination of values for both the number of clusters and the `covariance_type` hyperparameter:" ] }, { "cell_type": "code", "execution_count": 170, "metadata": {}, "outputs": [], "source": [ "min_bic = np.infty\n", "\n", "for k in range(1, 11):\n", " for covariance_type in (\"full\", \"tied\", \"spherical\", \"diag\"):\n", " bic = GaussianMixture(n_components=k, n_init=10,\n", " covariance_type=covariance_type,\n", " random_state=42).fit(X).bic(X)\n", " if bic < min_bic:\n", " min_bic = bic\n", " best_k = k\n", " best_covariance_type = covariance_type" ] }, { "cell_type": "code", "execution_count": 171, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "3" ] }, "execution_count": 171, "metadata": {}, "output_type": "execute_result" } ], "source": [ "best_k" ] }, { "cell_type": "code", "execution_count": 172, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "'full'" ] }, "execution_count": 172, "metadata": {}, "output_type": "execute_result" } ], "source": [ "best_covariance_type" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Bayesian Gaussian Mixture Models" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Rather than manually searching for the optimal number of clusters, it is possible to use instead the `BayesianGaussianMixture` class which is capable of giving weights equal (or close) to zero to unnecessary clusters. Just set the number of components to a value that you believe is greater than the optimal number of clusters, and the algorithm will eliminate the unnecessary clusters automatically." ] }, { "cell_type": "code", "execution_count": 173, "metadata": {}, "outputs": [], "source": [ "from sklearn.mixture import BayesianGaussianMixture" ] }, { "cell_type": "code", "execution_count": 174, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/Users/ageron/miniconda3/envs/tf2/lib/python3.7/site-packages/sklearn/mixture/_base.py:269: ConvergenceWarning: Initialization 10 did not converge. Try different init parameters, or increase max_iter, tol or check for degenerate data.\n", " % (init + 1), ConvergenceWarning)\n" ] }, { "data": { "text/plain": [ "BayesianGaussianMixture(n_components=10, n_init=10, random_state=42)" ] }, "execution_count": 174, "metadata": {}, "output_type": "execute_result" } ], "source": [ "bgm = BayesianGaussianMixture(n_components=10, n_init=10, random_state=42)\n", "bgm.fit(X)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The algorithm automatically detected that only 3 components are needed:" ] }, { "cell_type": "code", "execution_count": 175, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([0.4 , 0. , 0. , 0. , 0.39, 0.2 , 0. , 0. , 0. , 0. ])" ] }, "execution_count": 175, "metadata": {}, "output_type": "execute_result" } ], "source": [ "np.round(bgm.weights_, 2)" ] }, { "cell_type": "code", "execution_count": 176, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(8, 5))\n", "plot_gaussian_mixture(bgm, X)\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 177, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "BayesianGaussianMixture(max_iter=1000, n_components=10, random_state=42,\n", " weight_concentration_prior=10000)" ] }, "execution_count": 177, "metadata": {}, "output_type": "execute_result" } ], "source": [ "bgm_low = BayesianGaussianMixture(n_components=10, max_iter=1000, n_init=1,\n", " weight_concentration_prior=0.01, random_state=42)\n", "bgm_high = BayesianGaussianMixture(n_components=10, max_iter=1000, n_init=1,\n", " weight_concentration_prior=10000, random_state=42)\n", "nn = 73\n", "bgm_low.fit(X[:nn])\n", "bgm_high.fit(X[:nn])" ] }, { "cell_type": "code", "execution_count": 178, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([0.49, 0.51, 0. , 0. , 0. , 0. , 0. , 0. , 0. , 0. ])" ] }, "execution_count": 178, "metadata": {}, "output_type": "execute_result" } ], "source": [ "np.round(bgm_low.weights_, 2)" ] }, { "cell_type": "code", "execution_count": 179, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([0.43, 0.01, 0.01, 0.11, 0.01, 0.01, 0.01, 0.37, 0.01, 0.01])" ] }, "execution_count": 179, "metadata": {}, "output_type": "execute_result" } ], "source": [ "np.round(bgm_high.weights_, 2)" ] }, { "cell_type": "code", "execution_count": 180, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Saving figure mixture_concentration_prior_plot\n" ] }, { "data": { "image/png": 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IZjNBN05o134rjh2kMj+JoMfua/wAnQ7c3Nrcj1mnp3rHfqo27MAlMoyIW+/HI7Z7m9vtzCS/81Kryk9FRDnz7qeBPDuziKde8cV1inxzWHuSn1jO78/t5bqn4lHf3L7XfXsgzILyw2nkLT9M9dl8Qsb1Qwy+Hpcwq23+dkGfmUvpVz8QfvsQQm7u39HDaRWPzt3GQ2ctxS4MQjDmvw928IguP/bc/H+NzludzgCUE7NJsOpvh9FWGgh9c0a7GH8VxzNJfn8l/g/eg65HvM36Ue0/RtnClYTfeh9evdpSDacFfaWeoWD17ygju9DvtldwcW9KZ/bywl3thkoqa/d+TWoVzl6NeMGFIOXxv2JwcqbYx4Nr//1mq9o3qzVUbd1L1ebduPWIJeruR1BGNCwH68AaNGrBU9MLeeFNPzQ3XN/Rw2kV53YXsOLNQ0x4axD5/cd09HBkxaw3UrQlgdylB5EUziivv47wRwchuTRXaKLjce0SQeBLT5LxyTcofNwJuLpzaaE7GYzM+tVSfloAd85/omMHdIVxxRqAwixY884RVCU6Qt9qH+Ov7MA5zv57DQGPzUAZb5svqhCCytVbqN5xkOgZT6EMi7BJPwAmrYaiDStRnTtD7FVT8Yu2nUFrjzg5OSOMlyxZKTtmvQ7J++Itn4Sn/4aLWeBiNhJebn3ctqlKRdWmXVRv34eyXy+6zHgat5CG5SkdtIasdCNTPx+J5rrO+X6eWJnB1s9P0/3tu8jvG9XRw5ENk9ZAwdrj5C45gEdMEN5334lbfHeb7pbIjUtYMAFPPkjKJz8y4MsHUIb7dfSQWsyft31eFwJ1ukcopSG+HTqeK40r0gAUZsG6945Skasm/G8zcHaz/SqvZNcZzn25kcCnH8KtR4xN+hAGIyU/LcWYX0jsQy+g8PaxST8AqrOJ5K/6Hc+4ePpPfgVn184dg9IYBm01JWcPEhh3FS7Ki+PthBDQATcKg6cByfnCeM7l732Jp95S+lIAcf/7oMXtGcsqqNqwA9Xuw7gP60/Mwy/gGtCSCl4OWopfFy96dELjTwjBvh/PcuT3NOL+NQOPLoEdPSRZMOkMFKw+Rs7vB/COjyDg6YdxjYns6GG1GrfuMUTeO4KUT9fR883bKNp4ipBb+uPiK3O8vIw8PmcbLiYzAAZniSccW7/tzhVnAAoh2PDRcYrPVRH57kyc3W2fqFD0ZwLp320l8LlHbTbJmKrVFH/9M05eHsRMewYnV9u8LrNOS+GGlahSk+k28l58InrapB97oOTsQbIPrQYgrP/FMVtmowGpHRYPDXFRuWDwPF/n/K2FKxiSngNYjL8R/3wN4XzphB9DfhGV67ejOXwKz9FDiX3yVVx8/Gw06isbF/fON9UKs2DLJydJ21dEj48fxC2o84d2CJOZgvUnyF6wB6+4MMucHG27XZL2xHzVLZj+/Iz0//1J8Z+JAETeM6KDR9U4ksnMzMXnt37HrH6pYwd0hdL5ZqU2IIRgy8cnyT9dTtR77WP8Faw/QdZPuwh84XFcI23jATAWlVL4+VzcB/Qm/OrbbZatps5MI3/5Qjxiu3c6r9+lvHmNERh31QW/G6Jx1+Ds2pS8me1QeHqjrbTE9A5MPsejW/YAlon0jWm3UxDStJdGCIE+NYPKDTvQnU3H64aRdJ39VxSe7ZNR7KBzYDKYWfvuEcqyVHT91ywUjYQcdCaEEJTtTSFjznZcAr3wf2IWbt3sP67VVKVCtfsQnqOH4ezdvEKF5OSE5+23UblwCV0euZ6QW+w3KeTHJ37EDDgDH7x4C7RgwepAfq4oA3D7VwlkHCwm5sMHUXi2PUvyUuSvOkr2r/sIfOlJm2WR6dKzKf5yHj6TbiSkp22Cy4XJRPG2DVQc3U/s8Lvwj+l8JSEv5c1rDBelV7PHGqurcY9u/61S15Aw9Kf2AnDjqeS6x/+4qj8Lx45q9BxhNKI+dJKqzbsxV6vwHnctUeNn4ORq+++Bg86FUWdi+WsHMBsFkf94EGelfSdCXArVuULSvvkTQ7kar7tuR9mvV6eJ8VPtPkT572sB8Bl/6fndLb4Hzl5ueHYNstvt38d+3EFcZgkAJ3qGsm7CwA4e0ZXLFWMA7v4+mTN/5tH1owfbZTWbu/wQecsOE/TyUyiCbRM3ozmeSMnc3wmbfC/ePW1jlOlLishb+gvOnl70m/xyp83wvZQ3rzUYK8tx8Wn/oGX3qBhMZRXos/P4bOoEYorL6JORywtPzrjoWEN+Eapdh6jefQiXiFCCho/Fq1dfu9Q0c9Dx6FQGlrywHw9/V3xfvQ8nl87rmTFWacn8aSclO5KJmjEa44AbLoqdtXc8Rw+74PelkCQJt5GjKdx4Cv/h9ifZdM2OBB5ctA+w1B189lNHpbmO5IowAA/8ksKJlRl0/9eDuPjZflWU8/sB8lcfI/Clp1AE+dukj+odByj/YyNR9z6Ce3SsTfqoOH6Iog0rCLz+ZqJDR3eaVXNjXMqb1xoMZSW4+Ld/ULzk7EyRVsuh979i1rsv8sIT0+ueE2Yzhqw8NKeSUR8+ham8Es+rBxMz8xlcg0LafawOOg+aSj2LZ+8huIcP7o/djeTcORcJQgiKNp8mY852AkbHEfLuq5i8PGwquG8rnL09W+T5q4/7kH7kL1mNWW9sF3WLFiMEH72/uu5zeOzLBzDa0/iuQC77d//o0jQOLkilx//NxDXQ9nFO2b/tp3DdcYvxF+Ane/tCCCpXbaF692FiHphtk5u6Wa+jYM0ytNkZ9Br3JB4Bl0eQtJyYjQaMlRUdYgAu++ZjAvRGxgFT3vqE7yPDcPb2wKTSYMwvwtnfF2WfOEKvvxWP2B4Ob5+DS6Iu07Hoid10uSoIxQN3dtrFnianlNTPN2JS6QiY/RBuXe0/zk9unL09ce8SSFVCDr6DbKM40Ro23n5e8qXQ34Ok3uEdOh4Hl7kBeHptFrv+l0SPfz2AW4jtJFFqyV60l8JNpwh46WkU/vJvDQqzmbIFK9CdyyT2wedsIvOiK8wnd/FPKCO70HfCCzi7OGLEGkNTXoBLYFC7byn9449f6VOQW/f/tlfeJbysBLNGg5NSiWtgCM7u7Z+Y4qDzUl2iZeFju+g5Jhxxz+2d0vgTJjO5Sw+Ss/gAUdOuxjR0XKfb7pUT776RVCXm2Y0B+Ox/N+OpPS9TNeW3Zzp2QA6Ay9gAPLMtj80fnyTun/fjHmmbbdj6ZC/aS9Gm0wS88DQKf/kNM2EwUPz9r5hVGmKmP4OzUv44xopjBynauJLgcbcSFWCJlWtN9uyVgLokG2V4+wri9s9M4+5j56UTHrj/MUwenrh7tE/9ageXH9VFWhY8tpM+46MwTbmtU26TqjNLSPn3Gpw93Ah54znMwQGYrcievRzR+XXDcO5kRw8DAJ8yFff+cQSwzFv3O/T+7IbL0gBM21/I2neO0OO9e/GItX2WZp3x9+JTOPvJb/yZNVqKvvoZJ08Putz1BE4KeT82s8FA4frlqNNT6X3zU7j7n3fNtyZ7Vk7s1QAt12a2a3m0wLJSFs/9T90NevHAqzgUd2VVXnEgL1WFGhY8uov+t3XBcOvkjh6O1QizIG/ZIbJ/3UeXWddgGHC+3rm12bNyY418iy1wCQlCtau83fttjO+f/6Vu3nrq3/eR0SO0Q8fj4DyXnQGYc6KUFX85SNc378Srp+1jDLIX7bOp8Weqqqbos7m4xkYRcf3dssdzGcrLyF08D4VfAP0mvICzy4WeRVtkz1pDRxugTaHJTMNv2Oh262/nF+/XTaKZvn78fcq0duvbweVHVaGGBY/sZMAdMegndz7jT1dURcq/12A2mAh541mMwYEXeC+tzZ6Vm442QJ39fNCXVLd7vw156T8bCSmoQADnugRycmCXjh6Sg3pcVgZg4dkKfn9+HzEv34rvANtfaDmL91O46SQBLzxtE+PPWFpO4adz8BjSj7Bhk2WPzVGdO0PesgUEjBxDl8jrG23fFtmz1tDQALUHj6BBU4WxqhI3G9ZZbkhScBjhVRVIQnDzi2+3W78OLj+qi7QseHRXpzX+astqht0+BK6Z1OiiuDXZs3LS0ABtb4+gk6c7RpXW5v00x9D9qdy56hgSYARmfv9wh47HwcVcNgZgWVY1vz61h3GvDaBoiO31j3KWHKBg7fGahA/5jT9DQTGFn8zB+6ZRhPa5Sda2Lar42yndvZXu19yPT0ScrO3LSUMD1B48gpV5Z/GI7d4u2bUzd/7Jz9feyJ2zX7N5Xw4uf1QlOhY8vov+t3bpdMafWW8k/butlB04R8DTs5C620eCQ2M0NEDb2yMoKRQIg8nm/TSFT0kVX/xtKRKWuL97f3q8Q+qmO2iey8IArCrUsOjJPVzzeG+KhtjeKMj74zD5K48S+LJtsn312XkUfTYX39vHEdxV3m1Gs8FAwarf0RXm0Wfic7h5BcjavjUIIdBVFqMuyUZTUYi+uhSjVmWpsevkhMLNAzefIDyDY/AO74GzwrXDt6QBSsrP4NG9l837+fi3n5iUeJxZ+3fwzD0PktClq837dHD5oi7XsfCJXcSPi8RwW+cy/rR55SS/twK3MF+C33wRJ4/Olene0VvS7c2aad/UbcnvHhJLfrhfRw7HQRN0egNQU6nn16f2MHBKDJXX32zz/vJXHyN36UGb6fzp0rIo+nIe/tNuIyhc3snCWFlBzm8/4uIXQJ9xz+CssH0t5IvGoFVRnp1IRXYiVXkpODkr8AiMxt0/lGCnaFx9PXFydsVgUFNUnIDZQ0/BqW2k7VhIYI+rCB94U4duSQthRpWSSOAY215r0/ZsZ1LicSQgvLqStBBH4LSD1qOtMvDrU3voPjoU0523dqps39J9KaR8sp6o6VdjGnqzXcvUNLXV295b0sJgQOqgKi4LHv6e2r0RvbPEXz66p0PG4eDSdGoDUK82sviZvXQdGYJ+8iSbT2qFG0+SvXAvgS8/hSJIfs+Z9kwaxf+dT/jk+/AK7ytv27lZ5Pz6I37DRhLT5aZ2nUTNRgNlGScpST2MqjAd7/AehCnj6D1wLM7OruTlHyHccwiufucnzIysnRQWnaC793j69noYna6CM+W7SfjjY7pePwOf8B7tNv76qIoycfbwwtWGAtDB5aW8vXFF3fX8xbVj0Sjts66nA/vHMk/uIXJAANK0O+zagKqPMAuyftlN4fqTBD79IOYesXZluDZm7HV08kctZo0WhaftS542ZOryQ8RmlwGWrd8b1r7S7mNw0HI6rQFoMphZ/uoBArp44nz/FJtPasVbE8mYu4Ogl5/CJUT+m782IYXi7xYScccDeHbvKWvbVQnHKVi9hNgRd+EfM0DWtptDW1lMYeJuSlMP4REYRZTPIIK73ouz83nPY0bWTlLPrQcgJvrausfDw4Zc8NvNzZf+oRMpde3FqW3z6TbmgQ4xAgvKTuId399m7UsmIzs+P5/xeziqC/+7aaLN+utsGFXVVB47gM+g4Sg87UcWyF4x6k0sfWk//l28cJ01tdMYfya1jrP/WoOhUkPwG8/j7Gt/NcgbM/bsZavXVFndLmVP6+OsM/DiN38CFuPv76/c4oj7q8FQoaZww0lCbumPi6/9LOY7pQEozII1fz+C5CTh+dQ9SE62vchKdp8l7X9/EvjCY7iEBcvevuZkEiU/LCbyrofwiOkmW7tCCEp3/0n5gd30vOlxPIPaR7i4uiiD/BN/Ul2QRlDP4Vw16GnclY2LcTc09GpxdfG8wCCsJcC/O/163sPp7Qvoe8crKJTtp7ElhKDq9HEip9kum+3U+3+pM/4qXV25/9EXbNZXZ6Ty2AGKNlmSgAJG39jBo7FvzCbByjcO4eqhwKsd5km50OaVk/j2Mnz6RuI56yEkmXVP5aIxY6+js49rMZVW4Brcvkbzux+uqpu7vn1wNFtuHtiu/dszhRtOkjFnOwCR94zo4NGcxz6/WZdgy6enKM9REfmPB3FS2DbOofxQGqmfbyDouUdwjZJfV1B9LIHSeUuIuucR3KNjZWtXmEwUrFmCNjebPuOfw9VT/mSVhlQXpJFzbAO6imLC+o1hYJepF3j7GqMpQ685Avy74xfTn7wTm4kefntbhmwVqqIMnFxccAu1nfxLmbsHQWoVJmD4Gx/ZrB97wGw0YtaoMet1CLMZACeFC05KJU5K90a9VT6Dhl/w20HjCCFY/8ExtJUGwv72AJJz56gHXXk6m+T3VhB139UYh4yza4+lvRh7jWEsLMa9HRMvnpyzjTF7UxBAVpgv8+9vP43UzkDILf0v+G0vdDoDUFWs5dyeArr930M4K11s2lflySzO/Gs1gU/NwjVWfu+Z+sgpSucvJ/q+x1FGyldVwqTVkvv7T0hOTvQZ+/RF4s5yoy7NI+fwGjRl+YQPGktXp344Odn20orzG83+I/8hcshEnBS2vQ5qyS88gnf/ITa9KV3z2nus+fJDJs/+i836aE+EyYS+uABtfi76wjz0xUUYykswVJRj1utxVrrj5OqK5KxAIBBGI2atBmE0ovDzxy0oFGVENO4x3XCPjkXh6eXw/LWA7V8nUpBUTpcPHsTJtXNM88XbEjn39Rb8H7oPU/9edhXv19lwqczCPb59dEpn/LKbGYsPIAEmJ4lp8x5rl347Ey6+Hnbl+aulc8wM9VCX6en52UMovG1r1FSfySfpHysIePR+3OJiZW9ffegkpQv+sBh/EfIZl8bKCrIXfI8yOpYefe9AcrKdh9SgriTnyDrKsxIIH3ATfaNupSDvBMYwHa42NgCVbr54BERQmXcWv+g+Nu0LwGwyUnX6GF0ee0H2tv+2cjHTj+xjxCt/p9LLl0nPvSF7H+2F2WBAk5WGJj0VdcY5tLlZKHx8UYZF4hYSTkjEEJS9AnHx9EPh5tmkMW0y6tFXlaIpL6BMl0nhhhUYykrwjh+A77CRuEc6Kgo0xaFfz5G0IZvuHz+Es4dbRw/nkgghyP39AHkrjhD04uO4Rtu+glN9Orpsmy1QpxYSNmmQzfuJTivkyZ931+n93bboKWgHfVQH8tDpDEDXyADcbBzboM4oJvHtpfjNuAtlH/lFktWHTlC6YAXR055AGR4pW7u6wnyyF3yP37BRxETfYDNPldlkpDBhJ/kn/yQwbjijhr6IQqFsMqHDVniFdaO6ML1dDMDyrNO4hoTJnv07+NxZph/ZhwTs+fhd+r3zqazttweGijKqk0+jOpOAOjMNt5AwPLrGEdXzRjxHx6Bws16zzVnhirt/GO7+YQQwEHqBXlVObukRchf/hKt/IEHjJjsMwQYkbc5hz5xken48s92TAFqDMAvSv/2TiqMZBL32jE2ktS6FvWTuyoVZb0CTXYpHN/nj1S/AZGLRE/PqPLX7hsZQ7u9IzOpMdDoD0MnG2kba/AoS/vo7MY+OQd9LXikWqPX8yW/8qTPTyP1tHsE330qU31DZ2m1IVX4qGXuX4urpz7ABT+DhEVT3XFMJHbbCX+dPnia5XfrKz9yP72B5XfgKo56FP58XTF3Vf7Cs7dsSQ0UZVaeOUZVwHENpCZ5x8YRGDcdn+IxWGXwtwdXTj1jPGzFHXk9O6SFyFv2Ad99BBI+dhJNL+2ta2htZR0tY//4xenwwDWUnEN41G0ykfLwWfVEVAS8/02HizvaSuSsX+rQsPGKDcXazbWjMpju+qJu7VG4KXvnnvTbtz4H8dDoD0JboS6tJeP03Iu8dgb7XdbK3rz5yyrLt2wbjrzEZjOrk0+Sv+I1u10zD16+3nEM+369OQ/ahVVRkJ9ErdiLBQX0v8jC2JqGjLbi6eGEsu3TB87bWD9ZVlaDLy8b7Pvmyf52NBk6+/3rdBJocFMJfpz4gW/u2wKzTUZVwnIrjB9EV5OHduz/RfcfjHd4DJ5lDDZr7zJycnIkOGkH4bf1JPb6UzLlfETntYVx8/GQdQ2eiJL2KZS/vJ+bV2/HqYX+i4Q1lMEw6A8nvrUBykvCZ/SROru0Tx9sY9prM0dqtabf8Uyj621bx4e1/rsJDZwTADNy88kWb9tdZsFe5l6ZwGIA1GKu1JLyxhOCxfTENGSd7++pjCecTPtrg+Wsog1Fx7CBFm1YTd+MjeAXbZjusPCuBjD1L8OvSl5GDn0OhaH+B0cZwcnLGbL50vcu21g/OyduLz8BhOLnId5M6/sF540/j5Mztz7wuW9tyo83NpvzwHqpOH8e9S1ciul6D73V9cHK23fTRks9M4eZBz6tmkJH1J1lzvyJ61mxc/BqXG7qcUZXqWPzMXq5/pg/lw+yzXGB9GYywyYNI/PsyXAO8cL/vASQbKzl0Vlq7NV1+OJ2o+0fZalj4F1Rw89ZEwBL3N/732Q69vxrsVe6lKRwGIGDSGkh8exm+A6Lhultlb19zMski9XLfY21O+Kgvg1G6dztl+3bQ++ancPeTf9Vv1GvI2r+C6oJz9Iu7C38/+TQK24LeoCIv/wjuyoAWZRu3pX6w2Wig4ugBujzynNXnNsXopASchbC0Dwz+2//J1rZcCKORqoTjlB3YhbGqEr8hV9Pv9ldx9bC9nBC0/DOTJInYLjeRoXAh+5dv6fLo8zgrO1ed2LZg1JlY+uI+4m+JpHy0/AtXuaiVvwi4thcJb/yOe0wQbndOQ7qCEgas9ei1ZmvarFKjTivCx1YeQJOJJQ9+i8lJwtksuOfHR1H5Xh6JM3Jgr3IvTXHFG4Bmo4kzH6zELcQHxaS7ZE+c0CakUPLDYovOnwwB6wpPL/xH3UDJtg1UnjpK/M2zcfOS3+tRlZ9K2s5F+Eb2ZsTA2Sic7SebMC//CKnn1hMaMhCF+6Xd7C5Kr1bXD84pP4wyMgbXQPkCqnf37sPGXn25Ofk0Q19/365WzyaNhvLDeyjfvwvXwGAie96AX3Tfdr9RW/uZxURcR0ppMfkrfiPingftWj9OLoQQrHnnCN4h7oi7brdr2RQXXw9CJw0i4fXFePUKw+XWe64o4w+s9+i1ZmtacyIJn4FdbBb/t+jRuSjNIBAsun0IuZHyl0TtzNir3EtTXNEGoBCC1M83IMwC93tnyD4hac+mUfzdQiKnzpJN5FkIQdGGFajTUugzbjYu7q3PiG4szkqYTeQe3Ujx2f3Ed7+DoEDbxBS2hdokE5NJj/A02qwfIcyU7dtByIQpsrR325F9XH3uDG/cNZPnpz0iS5tyYayqpHTvNiqOHsArLp6eNz6KR0D76IjJRbfet3Jq/edUJxzHu++gjh6Ozdn9XTJlmSqi/znL7qt8GFU6Ev66GK/e4Rbjrw0GemeVbWmPZBORcITA0fKWEq3lj3u/IrhMDUBuqA9fzx5rk346GmEyoy+pRl+qwlipwaQ1IEwmJCcnnJQuuPi44xbijUuAV6dfaF7RBmDGD9vRZJXi9+xTsseh6NKyKP56PhF3zMAjtrssbQqzmYLVS9AV5hF/01Mo3NoWZNowzkpfXca57b/gpHBlxKBncHVtW0p/7VZteNgQXF3km6hrk01O5K7Aw1c+Ae2GVGQnIzk549G17VJAV6Uk8a+ViwE4HRHDglH2EXRuqCindNcWKk8ewWfgMPpOfskmHuX2wEnhQtdhd5K6cRGevfrhZKclxOQgaXMOx5al0/Ozh2ye7dlWTBo9iW8twbNHaJuNP7C9bIutDExbJ5uY1RoqjmXQ45UJsrf96Wu/1hl/ZuCenx6XvY+OQF+mojopj+ozeajPFaHOLEFXWImLjzsuAZ64+Ljj5O5qqaRjFpg0egyVGnQFlQiDEc+4UHz6RxMwsgeePUI7nUHYYTOkJEluwH+BsUAAkAK8IYRY1x795y47RNneFAJeeQYnN3klJPTZeRR9OY/wSffi2b2XLG0Kk4n8Fb9iqCgnfszjslT3qB9nVZGdSNqu3wjtcy09PUciSW33htZu1YJtdAHVpbkE9bSduz3n7FYCRrddT9FNq+HnX76r26IbnJXGAjrWADRWVlCyczOVp47iO3gE/e/4S5u8yfaCd1h3XINCqDxxCL8hV3f0cGxCQVI5694/Rtz79+EaaN+6a2a9kaS/L8M9KgDX2++V5QZpa09aZ9UFVB8+ie+gGBRe8ibpDTyaxvBjmYAl6ePWRU92WrFnk1pH+ZEMyo+kU3ksE32ZCu/e4Xj1DMdp4Aj8J4aiCA5Ecrm0aWSqVqFPy8KcfYrk91fi5OpM+B1DCRnXr9NU3+nIUSqALOB6IBOYCCyWJKm/ECLdlh0Xb00kd8lBgl6djbOXvFsIhoJiij6bi/99t+IV0U+WNoXJRN6yBZi0Gnpf9yjOCnkMVhelF6F9ryf32EaKzx5gQM/78POKlaVtsK0uoMmkR1tRiEeAfFqK9akuTMdQXtr2rUQhOPbRm3XGX463L6/cO6uNo2s9JrWKkl1bqDh6AN9Bw+l/+2uXheFXn8ju15N5YM1laQCqSnUseXE/t7w+kMK4sI4eTrMIk5nkD1ai8PXA7a7psoXY2NqT1ll1AQ2H9hMx1fpEt+Zw1ej5+i+/181fnz12HeWBPrL2YWv0ZSpKd5+hZNdZqpNy8eodgd+wWKQh1+ESHV53XVq7n+bs5Yl7/97Qvzch4wW65HOUbt1EzuIDdHtmLP5X2UfSZHN0mAEohFAB79R7aLUkSWnAUCDdVv1WHM3g3H+3EPTS4yiC5N3qMpaWU/jpHHxvG0tQhDxfRGE0krt0PsJopPeoh2Ste2vUqTm3fQFmk4ERA59u85ZvQ2ypC1hekYFHYKTN6gBnnd1CwOgbkZzbFhpw4r3X6iZPnZMTN73897YPrhWYDXrK9u2kbO82vOIH0O/WV3D1bJ+M3vbGJyIO095qdEUFuAXbnyZeazEbzSx/9QB9xkdROLh1SU3thRCClE/XIwwmPGY91KkSPuxVF7A5DHmFaHPK8B8hr9GxceqXdfPXyZ6hLL27cyyqTBo9JTvPULTlNNVn8vEf3g2XEaMJf6QXTko3BCDnvp8kSSh7d0fZuzsup5I59+USAkb3JPaxMZbtYzvFbvyUkiSFAj2B04089zjwOIBrSOtXH6pzhSR/uIqAx2fgGiVvvUlTlYrCT+fgfcNIgrtdI0ubwmgkd8nPCLOg18hZsuquacrzSdn8I77R8fQJHCe7kK+tyTOdwydCnu31hqhLstHlZRNx94NtamfR95/hWqNTaAYGvv2xDKOzDmE2U3nyCMVb1qKMjCZ+/LMofW1cIqqDkSQnvHr3ozr5dIcagPXnLZ/wtkvT/PnZKRRuznD3bW1uy9Zkzt2BJrs2vtpubjOXL4e3EXJLf5xkjGX/+ZE5uBjNAKTGBPLkV22bD22NEILqpDwK1h6nZPcZfPpGoRgxmvDH4mUP82oO9369cH3jRarnzSP5g5X0fONWWT8XObEL01SSJBdgAfCTECKp4fNCiO+EEMOEEMNcfFs3keoKK0l8ayndZt+Esrc8SRm1mDU6ij6fi8fgvoT2lSczSphM5C75GYSg19UzZTX+yrMSSF73DeEDx9IveHynM/6EEFRknbZZDeDM5E0EjL6xzcLP/xp7KwJL3Mzg1z+QZWzWoMlMI3POF5Qf2EX3a2bQ++pZl73xV0ugVw806SkdOob685aHf9tklE6vy+bMtnwCX7zHrj0KAHkrj1Ky+wy+TzzarjfeKxWzVkfR5tOEThooW5vjtpymW1YpOmeJc9EBzPzevlQL6mPSGShYf4ITs3/izEerUUYFEPaPV/F+/HE8rxrYIdegs5cHPk8+jjAYOffFRkSN7qu90eFLM8mSbTAf0APP2KIPY7WWhDeXEH7nULTd5fHO1SIMRoq+/hnXmAjCrpJHRLrW+BNmeY0/IQQFCTsoOLmNgb3vx9fZNpVDbE11dS4A7jaQKVEVZ6PNzST8rhmtbsNNW4lO6cOxrj34y213czQyFl07ihMbKyso2rwadVoKQWMnEek7WJakns6EZ3AM2v1LEUJ0usy8hhSlVLLxX8fp+eE0XHzsW+S6dF8K2Qv3EPza7E4l0dKZcUnYgc/ALihD5QnpuHHzaf7+f2uQAFeT4OlPpsvSrtzoy1TkrzxC/urjePUKw2PyZJR948DJCXtwaUgKBZ4PPkTpv7+kcP1JQicM6OghXUSHGoCSZWb+AQgFJgohDHL3YTaYSHr3D3wHdcE8fLysYqnCbKb4+19x8lAScX3b5Q3gfMKHMBpl3fYVZhOZ+/+gOv8cwwY8jruyc0p9AGTqTuPfdZBNbuyZSRsIuOYmnFxat2rsnZ3O8jlfkuYXyMSnXmHlkJEyj7BphMlE2f6dlO7cgu/QEfS//S84u9iPgHd74uLhgzCbMKlVdTWzOyM6lYGlL+/nphf7UdrdvuMZVamFpHyynsDZs1AEB3b0cK4IhMlE7rJDxL02SZb2+pzI5B81xp8AXvnHVKr87KumrTavnJzfD1CyPYnA63oR/NrTuITZ586Gk5srPrNmkPHp//C/ujuu/va1KOpoD+A3QDwwVgihkbtxIQSpn61H4emGy+S7ZTUYhBCULVyJWaWmy9THZQlyFmYz+St+w6RR03v0w7IZfyaDjnPb5iPMJq7q+5jd1PJtDWaziZJzR+g94WnZ264qSENXmEdEK7N0FUY9y+dYgqa7lpcwIC+LE7E9ZB1jU6gz0yhY/TsKb1/iJ1z+cX6XQpIkXPwCMJSXdloDUAjBun8co8uQQEqvtm/RXX2ZiqR3ltFt9k1ou8d09HCuGNSHTuIa4IlP37arIbiqdXz3yq91TpJdw2LZd7W84VJtQZNTRvbCvZTtTyV04kBC//Eqzj72/912jQoj+MY+ZC/cSzc7E8/uSB3AGOAJQAfk1zPOnhBCLJCjj6z5uy1Cz88/LXsWWuXqP9GlZBBz/+w2x4pBzfbs6iUYKsrofd2jsmW3GjRVnN38Ax7+4fQLm9zp4v0aUlySiNInCKVviKztCiHIPLWWoDG3tE5A2GTi5Puv102eGb7+7WL8mTRqijatRnU2gS5Db8c/dmCn3/KUC4WXNyZVdUcPo9Uc/T2d4nOVdP3EfuOvwLLLkvzeCoLH9pU9xMZB0wizGc2mzcQ8cp0s7W2e8kXd/FXk587rH94jS7ttRZtXTtaCPZTtSyX89iGEffAXnDzsOxSiIU7XTiD/7X/TZeY1KLztxwHTkTIwGWC78pWFm05RtPk0Qa89K3sQaPXOg1TvOkTsg8/JUnjeUt5tJbqCXOJveEI2nT9dVQlnNnxHQLfB9Pa9vt0NA1tUAskoPUhw71GytFWfiuxETBoVPgNbp/114oO/XCD3Mv7Fv8k3uEYQQlB1+jiF6//AO74//W57DYVr55oUbY2T0h2zVvaNhXahILmC7f9NoPcnM+2+0kfaN1tQeCuRxth/dnJL6Cyl5jRHE5CcnfCTQW9u2fRvcK7JUzBJcMfiZ9vcZlvRl6nIXrCH4q2JhN02mLAP/oLk4W7XNa+bwtnXG7+hXSnelkjYrYM7ejh1dPQWsE2oOJ5JxvfbCHr5SZx95RW51ZxIonzZemJmPoPCWx5BzJJtG1CnnSX+pqdkqfABoC7N4+ym7wkfcBM93IbK0qa1yF0JpLo6H21lIf4x8gbTCrOJzOOrCR47uVWe4p3/9zauZotcQnvIvRgrKyhYsxR9aRFx183EK7SrTfvrrEjOCoTJ1NHDsBq92sjy1w4w7tUBFEcFdPRwmqVw40kqjmUQ9PoLdq31F+npw8DgcPzd3CnTaThelEeOqrLRYztDJRBhNqNet54uD13b5oX9i5+vJ7S4CgCtizNjV74oxxBbjUmjJ+f3A+SvOELw2L6EvvcqTt72v9V7KaS+V1Gye6fDALQlmqwSznywEv9H78clQt6gaV16NiU/LCbq3kdwDZJnC7J073YqTx2lz7jZba7tW0t1UQYpm+fSZcQdxBIvS5utQe5KIKnlewiJv0ZWSRyA7JKDOHt44dmzFbIyQuCrtdTIFMAQG8q9CCGoPHaQok2r8Rs2kp4jHpD9vbhcMGir0RXmoQyP6uihWM3Gj44TNSCA4mE3dvRQmkV1rpD0moW2k7v9bGvVJ84vkBcGj+aq0Iuvg4MF2Xx+dDdny0sueLwzVAJRHziOk5sC/xFti9HrklHEmJ3JCMAswU2rXuywMm/CZKZw0ymyftqFz4BoQt56HkWQfS+ArEEZ353Sub9iNpqa1AU0VKgp3HCSkFv64+Jr++Qb+12ytQJDpYbEvy2ly0PXoYyXN/7KWFRK8ZfzCJt0D+7RsbK0WXHsIGX7dtD7xidkK8dVmZdCyua59OkxpUONPzhfCUSO7V+NppTy7ESCe8m7/WvSaynetp6QW25r3Upakhj45kdonZy5+enX0NpI7sVYWUHOwjmU7d9Jr7GP07X7eIfx1wwlZw+iy8tGk51h9blGVTWlu//E2AHxgwnrs8k+WoL7I3e2e9/WYFLrSH5/BV2fuBHXSPssSTc2ugcfxl9NrNR4Jnys5MaH8VczNvrCe0VtJRB73f4VRiPVq9cT8/B1bfL+uWr0LHj8R4KqdADM/OqBDjP+Kk9mceLZnylcfxL/J2fhMWPWZWX8ATh5uOMW6oM6vbjJYwo3nCRjznYKN5y0un1DhZqcxfsxVKhbfM5lcwcxG0wkv7ucgGt6Yugnb5kks0pN4Rdz8Zl0A949+8vSZnXyaYo2rab3zU/h5iWPJEtFTjJpOxbSr+c9BPjbT/ZWW6iNIyyTigjuNRKFm7wGVkb6Fjy790YZEW3VedEFeaz69lMGv/FPhELBoLf/Leu4ahFCUHXyCIXrV+B31ShiYsd2+kSe9iAw7ioK0va3yqtbeewARZtWAxAwuv28cBV5ajZ+dJwe792Ls7t9Cyif+2ozPv2i0PWSJwFBbuL8Ankiqhd3T5yM0l3J0rVrCQ45nxlfVFjE1IkT0Wq0/L52NRlVZRd5AtuCLeMInY9uwT0qAN9Brc+2VlZp2DT1P3UeoG8evo70OHmrY7UEfUkV6d9to/JkNt53TsZj+OWdxObRJQhNVglePRrfnQy5pf8Fv62h1ngEiLxnRIvOuSw8gEIIzn25EYW3O87jpsjbtsFI0dfzce/Xi5CeY2RpU5OZRv6K34i74WHc/eTZpq7ITiRtx0IG9J522Rh/cD6OsCz9BGF95Y3H0VYWU3FkP8E3TbTqPC9VNRu/+TdKs4ljH74u65jqY1KryFsyn5Idm+l506N07XaLw/hrIS5KL5xc3XANsF6PzmfQcILHTcZn0HAbjKxxhFmw6q3DDH+gB1492/9GbA1FW05TnZyH6232kSXaGC8MHo2HuwdKdyVnEpOYOnEi5cXFuCsUlBcXM3XiRM4kJqF0V+Lh7sELg0fL2n9tHKFq9yFZ2zVVq8letI/Yx8a0ug3JZGZzPePvWO8wFtzXvjV+zUYTuUsOcuyJebiF+hLyj9fwHGEbbVd7wi3UB11hVZPPu/h6EHnPiFZt/4bc0p+YR6+3yni8LDyAub8fQJVSgP/Lz8oaiCyEoOSnpTh5uhM+8g5Z2tQV5pPz2490Gz0Nr2B5KnFUZCeStvNXS3UP346t7iF35m942BDyyk/iHRGHQinvSjrt5Er8R41B4WOFgr4QHPz323WZaKUettkmUqWeIX/Fr3jH9yduyH2yyQJdSRirKlB4W18dQeHp1a6eP4AD81MwmwS6CRPtOstRW1BB2v+2EvS8/ZZ5i/T0qYv5W7p2bZ2xd+eESSxctIjp06ZxJjGJnvG96zyDQWYzPgcTKOsdI4vHzlZxhKY/VxF4bU88YoNa3cb2iR/XXWNqNwWzv5wpz+BaSFViLqlfbMDF14Pgv8zG2U5FnG2BWgThUdH0FnBbqDUeraHTG4Cl+1LIW36YoNfll3upXL0FY14hMdOfkcWwNFZWkL3ge4Jvvg1fv94yjLBm29dOjD+QP/NXp6tEr6kkYuC4NrdVn/KsRPTFBUTcY12B85P/eLVu8qx2ceWGV96VdVxmo5HiLWupOnWUriPvxTeyl6ztXymYjQbMGo1smfq2pCilkj0/niH+81l2XedXmAUpH68l4q6rIKbtwsO2YmDweQ9qcEgwK9ev484Jk0hISGDQQEu93D59+rBs3Rr8giyGlNAb6F2sYvPuQ7Jk/tbGEcqJPjuf4m1JDJ7zcKvbWDzjf3VyL2Zg3KqX5BlcCzCqdGT8sJ3SPWfxueu2y367tzEkN1dMlbIXPGs19jvbtABVWhEpn6zD/4mZKAL85G17/zGqdxwkeuqjOLm23bA0abVkL/gOv2EjifKTR5alMi+lZtt3ul0Yf2Dx2HXvNl6WzF8hBEm5G4gYOBZnV/myDM1GAxmHlxMyYYpVos+HP/gLLuK83MuwNz+SbUwA+uJCMud8gaG0mN7jnkRTmotB23mFjDsSbWURLv6Bdi1NAmAymFn11mHGPNsHZbhfRw+nWfJXHEEYzIirx3f0UJrFv0GccHhYGAsXLbrgsYWLFhEeej55RXJ1Ifrm6+0281cIgXrJ70Q/MLrV2aGfvfYbkYUW6RszcMPKF+QbYA1NJSKU7j3LscfmIkxmQt955YrY7m0UO3vNndYDaKhQk/T3ZXR94kZ0Mpce0qVmULZwJdEznpLFgyBMJnIXz0MZ3ZWYaHm2lqqLMji3bT79e96Ln6/9lF6qzfyVg+KSJAzqSoJ6yVtPNyNrK26hEXjFtTxLenTSKTwMlpWbAPr+Td6kj4pjBynauJLAG8YTHTySglPbyD5kSUQI6y9vUtOVgKY8H9dg+66dC7DnhzN4BLhRPnqcfW/91lRjCP7LbLs3qst0F4p/5+XnM33atAsemz5t2gUeQMnJCU33aJzTW55B2Z64Je/ApDEQNmlgq84fcCKLwSczAYvcy7XrXrFJxm/DRARDuZq0/26m+kw+fg9NQ9n78olPbw3CZLQrL7/9jMQKzEYTye+vIPC6XrJnoRlLyyn+7y+E33ofyrCINrdXW+JNclbQo+8dsqx61KV5NVIvd+Lv33YVeHvEZDZwJnMd0SNulzXxQVtRRPn+XYRMuMOq8w7FdiHDL8Ci9ffaPxDO8ozJrNORt3whpbv+pNe4p+gSMgpJkgiMu4qoYZMJjLtKln6uNMoNuSjD7HebEqDwTAWHf03F/+k77dobIoQg9fMNRN4zHJdOEK91vCiv7u+iwiJuGz+BhIQE+vTpw7Hjx+nTpw8JCQncNn4CRYVFdcceK8rtiOFeElO1iow52+n2/M2tMh7Cc8v47yuLUJgEZmDqT4/bTO6lfiJC8Y5kjj35I65B3gS99fIVb/wBeLuWofBoXJaoI+iUBmD6//7Eyc1F9oxfs05P0Zc/4T3uGrx69ZWlzdJdf6LNy6bniBlIMhgyuqoSzm76ji4j7iAo0P7iw/QGFRlZO9EbVG1q52zVHtz9I2SNgRNCcO7oUgKuvQkX35ZJ7/TJSmXS0f3olD6Mf+EtBr3+DhoPeVTpdQV5ZHz/OUgSfcc/j0fA+dglF6UXYf1vwEXZ+RXwOwJtbibKCPsVgTYZzKx++wg3PN8Xt2B5qxXJTdGWBIyVGszDb+noobSIHFUlBwuy66ReahM+lq1bQ9dePVm2bg0943vXZQcXFRZxIDudpKWrMVW1bd6yBfo1ywi8rhfevazPDr/qQAqLZ31f513+x2uTKAzzk3V89XHx9SBk/ADOfbWZrHk7CXjiQRQT7rLbhKH2xlChQeFnPyU7O50BaKzQUHEkA68HZsqb8Ws2UzLnN1y7hBPS5yZZ2qw6fZzyg7vpdd0jOLu03eo3aKo4s+E7wgeM7XCR56aoTQLJyz/S6jbU6mIKE3cRPeJ2GUcGOeWHMWnU+I9o2RZ1VFE+S3/4mo9X/IZvZSkAOqU8SQUVxw6S9dN/CbjmRnoOvk+W68OBBbPZhDY3G2WU/YRGNGT/z2dx93WldOTYjh5KsxirtGTM2YbXffcgyeT1bg8+P7obtUaNVqOty/b1CwpCYzLiFxTE0rVr6RnfG61Gi1qj5oNvvrKJbEtb0Zw+Q8WxTGIesj6sRqnS8dlby+pu8nNnjGLTWHkcG01RdiCV40/8iGuAJ4FvvoRbD/v9DnYE+qIqXAPtZ8HX6WIAdSXVhP/jJZw85LWiK1ZtwVRRSdTEZ2TZjtHmZFGwZgm9xj6Oq6f1UhQNMRl0nN00h4Dugzustm9LaGv5NyEEp7NXETZgrGwC2WAxnos2rSLq/sdbdCOTzCY2ff1/dSvnv61bySv3zmrzOMwGA4Xrl6NOT6X3zU/h7m/fmm+dEXVJNi5+ATi7276UUmsoSa9i/88pxH/5kF1v/QJk/ryLgJE9cOtmnVB6R3O2vIRvs5P5fe1qPNw9LhCBBkt28NK1a1Fr1HybnUx2bCh+d0+0qyQQs0ZH5YIldH/+Zpyt3DZ01hnYPOWLuvkrO8SHuTOvkX+QNZg0etK/20r5oTT8Hp6Oi2O7t1G0+eUow9tuD8hFp/MAKgIDZI9DUR8+hWrXQaLveNiqrNCmMFSWk/PrXGKvvhuPwLZvQwmzidStP+MREEFvH/ssTl5LW8u/nTOdwKTXEtpH3snq3Mk/8B10Vcu2Bc1mTteTe6lwdZPF+DOUl5L141eYNBr6jX/BYfzZiGJNCh5d5S0FKRdCCNa9d4zRj/ZCGWY/N4LGUKUVUbwtCcXN8nri24vNWSm8kbiPdKFr9Pl0oeONxH1szkqxy/JvhvXL8B3UBf+rrI/z3nLHeeNP7erMvb88Ke/g6lGVnMfx2T9h1hkJfuslR6xfEwizGW1OGe6R8jk22kqn8wA6ucu7VabPzqf052VET3tcloxfs0FP7q8/4jd8NP5d2l42TghB5r7lAPQLm9yhHgO5RZ4botVVkHN0DT3HPylLvGQtZRkn0eblEHbHfS06/tgHf6lbGRmQGPHGP9s8BtW5M+QtXUDAqDF0ibze7j0/nRlVSjIBo+0zc/rEikwMGiOqm26x66xfIQTp324l+v6RmLzsxyiylrPlJTy5chH+SRmMmjyBQD9/ynQajhXlkqtquiJDR6M5dYaK/akM+vYhq89de+eXuJgsclUGJxi3+mW5hweAMJnJ+f0AuUsP0e2ZsWi7yVtN5XLDWFCMS4CX1d5cW9LpDEA5MVWrKf76Z/zvm4wysu1bHEII8lcuxiUgSDa5l4LT26kuTOeqPo/JXgYsJNSH3r0j8PF1p7JCQ1JSLoUFlU0eL7fIc32EEJzKWklIn2vwCGh79nUtRq2K9APLiLh7Jk4ulw5E3vzJP1CaTJYxAf3//nGb+hdCULZ3O6V7ttL92hn4hNunZ6oWg7aakrMHCYy7qlMmoBh1GrR52XjE2p8XQlWqY+sXp+nx/n12JQXRGOWH0tAVVmAceJNdG6otQbX7EDm/ryW7pEh2cWZbYFapqZi/mB4vT0DhZZ3+6W2rDuNbrQWg3EvJpGXP2WKI6EuqOPuvNQiTmZC3nkcrsw6vtdiy9rJc6NOzm6wB3FFcsQagMJsp+X4R7gPjCYqyrnxKU5Tt2Yq+uJA+Y2fL4uEpzzxFwentXNX/CRQK+VYNMTFBzJx1Lf36X7wdeupkNj/P20lGhqVcTX2vX1vj+5oj1XAUo7aasAHyJODUtXtiGT79BuMR07JtlNDqCmqE8hn+yjttEu40G/Tkr1xsuSYmPC9rTKOtKDl7sFPrD1bkJOIR0x0nV/tZZdfy52en6DcxCoWd3QQaIsyCjB924HXbZCRF50n8qE99g8BWZdlsgRACzdLfCBgdh9/QWKvOfXD+bh75ZQ9mwKhwYtLSZ20yxrIDqaR8sp6wWwfBtZPtQheytvYyYLdGvkvBGdzi7Svs54o1ACv+2IgwGAm/Wp74FlVKMqV7d9B3wnM4K9qe8q4uzSN99+8Mip+BUunX9gHWMHJUHFOmxuPRhBs6NMyN2c+NYvnSRPbuOXuR109uzx9Ysn5zT6yj18RnZPVylqYdQ5ef2+KtX4D+f/+EvhnpVLgrqfJqfUiAocISB+oaFELfsc90mlq+tbqDnVV/sKjoFF7x/Tp6GBehVxtJ319En28f7+ihXJKSHUk4uTjhPsS2GaO2pKFBYK9GQUPckndQnF7EgK+sq8/71DebuX/5ESQsVT5uWfKs7FUnzEYTmXN3ULw9Cf/HH0Dq2VXW9ttCZzDyK09m0X2cfc1NV6QBqD5yGtXeI8Q+/JIs0gb6shLyli+gx3UzcZXBy2PUqkj980eih9+GjyRf9l1MTBBTpsYzdeqtKJVKli9fQ3Dw+YSaoqIipkyZhFarZenSVeTmlKE32M7rB2A2Gzlx7nciBo/H3U8+z4heXUHGweVETnvkklu/w84lM//nb/ns+luYN3IUp2Ni29S3Jiud3MXz8BtxLTFRN3SqeL9a/cHOiMmgQ52aTNjkuzp6KBdRmaem26u32lX8T2MIk5ms+bvxumtKp7puG9IZDIKGGAqKyf1uK33/dS/Obi1fMP71X6uZtCUBCUvYyn1zH0Uv83WmK6wk+YOVuPgoCX7rRZztLC7UFrWX5cRUUYWuqAqvOPvy/ne877adMeQXUfrzUiLvnIXCq+16PGa9ntzf5hF47Vi8w1oed2TQVpN/cutFtV6F2Uzq9vn4xfSnqyTvCnzmrGvx8PBAqVSSnJzElCmTKC8rQal0obyshClTJpGcnIRSqcTDw4OZs65tc1bvpUgs/RMXDx+Ce4+SrU0hzKQc+g2/YaNwv4QWnJtWy/yfv0UCXty+gS4l5W3qu/LEYXIWzSV2xN3ERt/YqW+inY3yzFO4R8fi7GFfNycAJ4UTgdf27OhhXJKSnck4eylR9o1r9HlTlYrK9dvtUjC5PvaY1dscwmik8sefib5/FJ7dQlp83sz5uy4w/l78xxRyogJkHVvZgVROPPMzgaPj8Hr0Mbsz/joD2tNn8R3Uxe5if+1rNDbGrNNT/N9f8L3j5ksaBi1BCEHBmqW4BocSHWadbEltrFXJ2YMXPJ5zZC0IiA+QJ4mklpBQH/r1jyI4OJjly9fQq1dvkpOTuP2OSaSmnuH2OyzGX69eves8g/36RxESIo/wcWMUlyRRln6crtfcJ6uhlJW/G7NWQ+B145o9ztmg59hHb9QFuSeGhJHSymQgYTZTvHU9xX+uo9e4J/GL7tOqdhy0nsLcI/gMsE+NTEVogN0vBoQQZP+6D/dxNzc51tqtVXsTTO7sGNcvwy3Im7DbW77TMuhwOo/P31Nn/M2ZdjUHr27ccG8NwmQm88edpH6+Af8nZyJGTrSLeL9OScox/IfbX9nWK2YLWAhB6fzluHSJILibPBpzFYf3oc3Nou8tz1k9uTcWa1WWcZLSc8cYPvApnCR5g6979z6fWRscHMzqVeu4/Y5JJCQkMGiQpcB4nz59WPHHGvz8A8+fFx9BYWHTmcGtRastJyFlOd1vfBCFUr4Vpbo0l5Idm+jyyHOX3N4/8cHr57WynBXc+fRrrerTbDCQv+JXDOWl9Bn/HC7u9qP0fqWgV1Wgyc4g4p5ZHT2URpGc7dv4A0vmLwKUA3o3eUxn3Fq1d9RHTlO15ywDvn6wxfeRQUfS+eqvi+uMv53DuzLvoetkG5OhXM2Zf65CmAXBb76Is0/nUwSwF4TBSPmhdLo+bX9Vf64YA1C14wCGzFxiH3xBnkofedkU/7mW+PHPtKqMV8NYK11VCRl7ljAwfoZNtlt9fC+snBIWHsbChYvqjD+AhQsXERYehlZraPK8+rRWF9BsNnI89TfC+o3BO1S+VZHJqCdl9y8E33wbroHNi4Uffe81as1DIzDkb//Xqj6Nqmpyf/0RhbcPfW54ym6SPZqSczFqVVQVnENVlImmLA9tZTEGTSVmgw6QcHZV4uYdiGdQNH5d+uET0bNTrPpziw7i3XcgTq6OmqOtJXfJQZQ3Nh+zau+xVi3BniRDjEUllP+yhPh/3ImLTwurWwnBV6+fN/5+mDacHx8aI9uYqpLzSH5vBcE3xON00+3tWgLQnj4budCcPoNn12Bc/e3v9VwRBqA+I4fyZRuImfWsLDcIk1ZD7uKfCJl4J0rvlsdrNIXZZCR168+ED7gJX/eWbUFaa3xVVmgu+D8/L5/p06dd8Nj06dMu8gA2PK8+rdUFPF24HhcPH0L7jWnxOS3h3Kk/UEZE4TvoEhmsQqA0GQFLxly/t1un9acvLSb7l+/xju9P17gJSJL9GEr15Vz8YvpTlnaM8szTaCsK8QyJwSs4hi6+Q3AJ9KSsPJWIiKtwdfHEYNSg0ZRQ4JxDzpF1ZB34g+gRU/CN7NXBr6hphNlM+ZF9RMpQreVKRZ1ejDqjmLAnBl764DZgDzd4e5EMMesNVMyZR/T0kXjHt0z7VDKaWPbA/6jydMVbpeen+67mRxk9fwXrT5Dxww787p+K89D2z1i15rOxh2upRZw6QOCY+I4eRaNc9gagWa2h+H8L8J9+G65BbTfWasWePbv3ItJ7UNsHCOQcXoOrpy89lC2X3rDW+EpKyq37uzbbNzk5iT59+rBw4SKmT59GQkICk2+dcEF2cFJiblNNtkoX8JzxOFX5KcRPlscTW0tOxRHUGeeIfeLFFh1/10PPsvjH/zD8tfegFR4uTXYGOb/+SND1NxMdMtLq822Nf+xAqosyKU07Rv7p7fjHDCAuYix+8TE4OZ3/2mdk7SQtYwtOzi51yT6uLp740gXR92pKSpNJ3PUboX2utdvs4IqcJBSeXigjOle9Wnsif9VRQicORHKx7S3BHowve9jGFkKg/+M33KMCCLujZfOnZ4Wa3x76Dv9qPQB7B3Xh+4flMf7MBhPp//uT8qPpBL/yJC4RHZOtas1nYw/X0qUwa3SUHThH16fk1beVi8vaABRCUPrzMpTxPQiKkEfXrOLQXgylxfQcOu3SB7ekvexEytJPMGJgy8Sjaz1/QYGWOJ2WGl+FBZWcOplNaJhbnfHXq1dvVvyxhrDwMFb8sYbJt06oyw5evnwNBfm6ZuP/ajOEW0pFRSbZSWvpNeFpnF2tU7hvDk15AYUb/iDqgSdxcmu63amH9vDM1o3c8MrfOR3Tlb7vfNqq/qrPJJD/xyK6jrwHvxB5VslyVeDQq8opSNhJ8dkDeIXE0iP8BgIC4pqMKW3OiJckiaDA3gz3iuDQ6Tm4uHsT2MP+Yr9y03bhN9x2he4vd0waPcXbEgl5+0WbZQXWemuUA/vgR8caX/awje1yYgvFSXkM+HJGi+Z9yWBkw91f1cUsn+kWwiv/13J90+bQl6k48/4KnD3cCPrL8zh5tHArGvm9cNZ8NvZgyF8K9aHj+A6IxsXPo6OH0ij2s2dlA6q378eQV0T4NVNkaU9XkEvx1nXEjZohS6yXQVtN+q7F9O0xFReXll0gtZ6/4pIkq+VZfp63E7VajVarrcv29fMPRKs14OcfWJcdrNVqUavV/DxvZ2tf2kVodRWcOLOI2GvulVXvz2TQcXbXzwTdNBFleGSTx406k8D7q5cQpqpk0feftbq/imMHyV/xG3E3PIJfF/m2SJrKCm9KLqghuqoS0ncv5vQfHyPMZoYPfIqh3e4nKLB3swlFLZH5cXPzYWDP6WQdWHnJcbQ3mrJ8dAW5ePcb3NFD6bSU7EzGu08kChuW86r11miPJ3QqeRZboDubTuZPu+n9zh04u186JMlVo2fnpE/rjL8SXyUP/W+WLGNRpRZw8rn5+PSLxuvRR60y/qDprPD2kAvqDFI/hgN7CRnfv6OH0SSXrQdQn51HxfKNlri/FtSAvRRmg57cJfMJHncrSl95tpIzdv9OYPeh+Pu1PBGiLeXYMjKKWb40kaVLV+Hh4XGBCDRQJxGjVqtZvjSxrhxcWzGZ9Bw7s4CQPtfKKo8ihCDl+BKUEdH4Drm6yeP8K8r4YeGcugm0zL11E0bp7q2UHdhF75ufktWIhaYrcFyqNJteXUnesY2Uph8npPcoRg17qcWLCWvw8grDL6YfRUl7iRjUvLxOe5KdsQO/YaNwUly2U5nNKdxwEtfrbLu93xm8Ne2BsbScsu/nE/fqRNwjW6DXJwRbbv+8bu4yOMFtv8tT37dkZzKpX26k2zPj0HYb3ao2mvpcO8P2rK3RZ+WhK6zEf7j91SWv5bKcNc06PSXfLsTvnkmyxP0BFG1chVtoBJH+8kxgJamH0VWVMCjmbqvOs3bbtSF795wlN6eMmbOuJbiRRNmCfB0/z9sjm/EnhJnjmUtwD4ggrJ+8N5msgt3oC/Mtki9NbaMIwZ7P3qubQM/5B/L0A09Y1Y8QguLNq6lOTqDPLc/g6unXpnE3RlMVOJoyDE1GPQUnt1KQuIugHlcxauiLNjH86hPjOYjTaX/YjQGoV1dQlXiCrs/+taOH0mnRFlSgzijBtxnpFzmwh23XjsasN1Dx3VzC7hjaMk04s5kNd35Zt01ncIIxa19p8ziEEGQv3EvB2uMEPf8Y2pimd04uRVOfq8PgB3FgqyWu1s7En+tzWRqA5b+twqVLJMFdmvYKWUP1mQSqzyTQb9LLsiQu6FUVZB9cxeC+D14QkN9eZGQU8967ywkJ8aF3fAQ+vu5UVmhISsyVXfPvdPEmTHot3cbMlDXpoyr/XI3e3/NNZ3YLwel3X64z/kqV7kx8/k2r+hFmMwVrlqDLy6HPuNmyaha2hIaGoRCC8oyTZB1YiWdwF4YPehp3ZdvLD7YEH+8o9KpyjDo1CreOj2nJytqBz8BhKDxtr1GmLy6k6NQ2m/fT3pRsTyJwdBySw4NqU4QQaH/7BfeoACLvGd6ic9ZP/Q9eakvCh8rdhZtXtCzBrTnMeiMpn65Hm1NK8OvP4exnG6H/K93gN1WrKd6RxOA5j3T0UJrlsvvWqw+fQpuQQuwjbV8pARirq8hfuZge185A4WZdfERjCCHI2LuEwB5DKS1Lxc3N12Zl1i5FYWGlTUSeazmrOUBlTjK9Jz2Dk7N8l5q+uoyUnfMJnzId14DAJo/7bv63dVp/JmDU6x9Y1Y8wmchbvhBjdSXxNz6Js4t8iSvWUJsg4h0eR86RdehVZfTtcadVoQNyIElOKH2C0VYW4xXcpV37bohRq6Li6AFin3y5XfrL274cZXyPdumrPSnekYznrbe2+PhOI71hb+xYhTavgr4ft6zq0Ydv/Y6XSodZgkovJZN+f6bNQzCUq0l6ZzmuQV74PT8bJzfbamZeydeK87GtBFzdA9cA+xbQtl/fZCswllVQ+styIm6bgbOy7TdrIQQFq3/Hd+BQq+r8NkdZ+nF0VSV4qlxJPbeevPwjsrRrb6RLyeSf2kbczY/K6i0yGfUk75qH/9XX4dmj+W2rx2c8jsCi9TfgrX9Z1Y/ZaCR38U+YdVrir32sw4w/gOKzB8g+tJrktV/hHdaNq/s/3e7GXy0KNw9Muo6vA5uZvQPv+AG4+Nre+1mdfBpjYQneN8lXr9oe0BVWoiuowK1X1xaf4ygFZz3K1F0UrD9J73en4Ox2ieRBIfjnW79z/YE0JOBErzAmLX2uVVJV9dFklXDi+V/wGRiNxwOzbG78wZV7rQiDgbwVh4m4Sx7lEVty2XgAhdlMyQ+L8b5xJO7RsbK0WXn8EPrSEnoOf0CW9ow6DVkHVjCg5324ewQhSc6tSuawd0rLUsk8s4yetzyBm5d8hcmFEKQc+Q234FACRjcdT/jAri0svPo6TAoXBv71XfQKD7BCzd5s0JP72zwkF1d6jXhAVu+lteiqSijPOIWrlz/9e9yLr1cHa91JTgghOnQIBm015Yf2EPv4Szbvy2wwULDlD/yn337ZbZOW7k3Bf3h3qyo9OGK7rEOXkkHufzfT96N7W+QN2nzrZ7jrLSL1OhdnZn/R9ntPxYkszry/gi4PX4ehb/tpeV6p14pL4g48u4fi2U2e/ANbctnMaFWbdyMMBkL73yxLe4aKcoo2rqLX2MdlMwByjqzDN6oPvr4xgHXVMzoLlVXZnEr+je43PohHQMvU7VtKetpGDOWlRM9qWjPx9bXLePDALl7aup7bH3uZzLAwq/ow6/Xk/DoXZw9Peg6dhuTUfmWQ6iOEoOTsAbIPrSFswE3EuV9lF5VGzAZtq0ofyklmxja8+w7CxV++xUVTFJ7egktkGO797bcSSmsp25+K4irrvJpXemyXNRiLSij99id6vDIRz+6XNgY23HHe+DMBkxY/A22Mmy7elsi5r7fg/8g0DH17tqkta7kSrxVhNJHz237iXpvU0UNpER1/R5EBfXY+lWu2Ejlxhix1C4UQFKxajN+Ia/AIbH2GVH3UJdmUpR8nPqjjFcH1BhUZWTvRG+TdylOpCjmW+Aux19wj25Z5LTmVR6k4dpDI+x7GyaXxbZS7DuzmwQO7kAClyYTRxbprwazXk7NwDgovH3oOnd5hxp9Rp+HctvkUJOxkSP9H6Okxwi6MP7DIzrh4+HZg/xVUHN1P4HW2L6yuLyuhavMu/O+bbPO+2huTzkDl6WyUfeI6eigtpj205eTCVK2i9KvviZo+ioARl54L1975BV5qSw12Ady48gU0nm1baOUuOUj6d9sIevFx3NvZ+LtScTu7E7dQH3z6RXX0UFqEfdxV2oAwGimZ8xt+d41vNiHAGiqPHcRYXUVMlxtlaU8IQeb+FUQOGW9zqY6WUCsmLWf8oVpTwpGEeURfdausAskAVQXnKFz3B1HTH0Hh3XjWWkhZMe+tXVqX8Tt/2EhyAxvRuWmCOuPP14+4wfcitTHmprWoirNIWPkpCqUXw/s9gZdny/QGbWXU18dkMmDQVOLq1T5Zx42RkbIR38HDcfHxs2k/Qgjyti7F++ZrUQTZ3tPY3lSdysGza4jVwr8dSWeJKTPrDVR+9wMBI+MIv+3SAuW/PvgdvtU6wGL8jVn1IkZl62P0hFmQ9u2fFGw4QdBrs3GNDm91W7amMxn1l0IYTWQt2Ev0A63TVOwIOswAlCTpGUmSDkmSpJMkaV5r26lYuRlFgC9BMfIEaBurKinatJruw+/FSSYPUFn6CUwGLd0Uly60bqsbef12w8OG0L3beNniDzXaMo4k/EjEoHEEdh8qS5u1aCsKSdn+M+F3TscttPEtZVedhu1ffFhn/J0MjeDDyS3XVzQbLNu+Ch8/4gZ1jPEnhKAwaQ9nN82hZ5db6B86EWenllebsYVR35BqVR5K35BWfS9aWtGkOTTlBVQnniTwGtt70asTT2IsKsHnFnlqrdobFccy8B0sXya3rW7k9dv1HD0Mv7sn2nVMmTCbUS/4Gbdgb2IeufT25/ezfyI6rxwAkwS3zn8M46USRZrBbDBx9v/WUJ2UR8BLz6AI7LjFWkuwd6Pemuva5fQ2lGG++A7oWIUEa+hID2Au8D4wt7UN6M5lUr3zIBFj75VNY65g7TJ8h14t29av2WQk5/AaekWNb9E2nq1u5PXbbUn5r5ai1ZZzJOFHQvteT3CvkTKM9DwGTRXJW+cQdNOEpjN+heD4P9+sM/7K3ZTc/VTLJYDMRiO5v83D2cOzwzx/ZqOB9N2/UZS4m2H9HyMk+EIPaksWBXIb9Y1RoMjFKyT2gsdaatg1VerOGtJPrybgmptw9rCtpIRJq6Vg03ICHrjzskv8qKXyZBb6cPk89ba6kddv195LfwkhMKxcjLFKS49XJiI5NX9Peu7rzcSlFiAAo7PE9Wtepiy09QabSaMn6Z3lmNQ6fJ95Cmevjt1taonx1FFGfUsNu5Ze12adnuyFe+jyUOdaMHbY7CaEWAYgSdIwwOoNc7PeQMncxYTefGeT24LWUpV0Cl1hHj2HTZelPYCi5L24+QQT4N+ymLi2lHpr73a12nIOJ8wlOH40oX3kTWgxGbQkbZ+Dz8Bh+DVT5m3k2UTAsnWid3Li6r9+2OI+hMlE3pL5SC4uNQkf7W/86dUVpG6Zh6uXP8P7PYGz88VbP7XGOzSdONTWCjEtoTIn+SIj/1Kl6mppqqJJi/vOPYO+qICIe2a16nxryD+4GmXfOJS9OkZqx9aYdAZUqUX4dpPPU2GrjM9OlUm6YzVVCTn0/XgaTq7N31r/+q9VTN5imbtKfZTcvuhphKL1O07GKi2Jf1uKMtIf5d3TZYmFbystKQfXUYkiLS1V19Lrz+nQJrx6R+Dd23632xuj0y5vK1ZswjUyDJ9+g2Rpz6zTUrh2Gd1GTcNJ0XoXfH1MRj35J7YwKH5mi8+x1Y1c7nY12jIOn55LSJ9rCOsr7xfYbDKSvOcnlOFRBF7fTFa3EOyNiyf+nU8ZfiaRA3EtL2clzGbyV/yKMBroNeqhDkn4UBVnk7JlLsG9RtLL+5omvdi2WhRYg9Gopboog+43PHjB4y017JoqddcShNlE+tEVBI+71eY1fzVZ6agPnST8H7aXmOkoVGfy8YgNlFULzlY38s6SSao4vpmcTafo/9l0FJdI3th422d4ai0JH0YnJ2Z98xBml9Zf1/oyFQl//R3fgdEoJt7VYfHLDbFn472lY2vJ9WeqqqZgyUH6f36/bONrL+zjSrkEkiQ9XhMveMhUrUJ3LhPVnsOE32BdHd3mKN66AY+ucfiEy6f2X5S4G6+Qrnh7t04OpT0C+1uDWlPC4dM/ENr3OtmNP2E2c/bwIpxc3QidNLVJo2jVVx+R+O7L+KgqADjQM77FkglCCArXLcdQUUbPkQ92iM5feeYpzm78jl6xE+ntc22zIQxybtm3luKSJLxDu+HseqEgdq1h56K0neJ9VuFeFJ7eeMX3t1kfYEkoy1v3G/73TpZl+6z+vGWo0MgwQnmoSszFq7e8Ek0NuZyC+y+FMnUX2Qv20vefd19S62/jbZ/WGX8mYPJvT1MS7N3qvnVFVZx+eREBo3qgmHS33Rh/gF1v2cs5NtOW1QTf2Af3qM6XLGY/V0szCCG+E0IME0IMc/L0oGTu74TePEW2GqDa/BwqTxymax/55B7MRgMFp7cTF9R6A6k9AvutpVpVwOFTPxA+YKzs275CCFJOLcOkqiZ8atOSPnN++oa44kIkYPcn71ndT8nW9Wiy0ul1zcM4K2yviN+QwsTdZOxZyqA+D1wU72evZFceJ6B7+3sgDdpqSrZvImT8HbLWkm6MghMbcQ4OwGP4pZO1WkL9ecvF136ybauT8zEE21b+xd6D++VCczKJtP9uIf7Du1FGNB+/t/nWT/HUWnT+BDB22bNU+bZ+oaHNr+DUK4sIGd8fpxtut/n3w8HF6LPzKd6RTNSMzlklqFMYgPUxVVThEhaMd99BsrQnhKBw7TKCbhwvqxejOOUgHkHReHlZJ0Rcn/YI7LeGysosjpz+kahhkwnu1XRcXmsQQnDuzBp0edlETmta6++Fjau4Ju2s5RzggQeetKqfsgO7qDx1jN5jHkPh2r43ZSEEOYfXUZCwg2H9H8PHp4OrerQQjbYMdUk2/l1s54FrKpkkLXE1PgOG4hZq29gaXUEuVX/uJWCG7Q3Njqb6TD6usbbVKesMGbttRZuUStmPv9H73Tvx7Nq05NSYbYlsmfwJ7rrzxt+1a15C79X6+UebW8apVxYRcecwxMiJrW7HQesRQqD6fTHefSKgg6sjtZaOlIFRSJKkBJwBZ0mSlJIkXXIvzlylIuLGu2WbpCtPHMZsMBAVOEKW9sCyjVlwahvdA9umB2QPW3+1lJamWESeR91NoA08Qenpm1ClJBI143Gc3Bqvu9srJ4Mn9mwFLJPoP2+YyLFuLfdkVJ0+TunOzfS+8TFc3Fu/7dIahNlMxp4lVOQmc1Xfx3F3l2+7wNahAmnqwwR0HyZbbGxjNJYlXFVwDnXqGQLH3GKzfsGSDJS7dhF+U8ejCPCzaV8djbFKi6FSjSI0yKb92PP2nxzoUjMo/e4Xer15K97xTW+nR2YV8/6Hq1DqTZbzXJy5dt0riDbE/Glyyjj16q9E3Xc1piHjWt1OR9PZwwTUh06gzSmnbG8KhRtOdvRwWkVHegDfAjTA68CMmr/futRJzgG+smX9mnU6ijevpuuQKbLGTlRkJ+Ls5oGvT4xsbXYkaSRw6uzvdL/hQfy69JW9/YzsrVSePEL0A082KfERUlbEH99/USf3simuDz9f3/JqEOqMcxSsWUrPGx7FzVsewfCWYjabOLdjAbqqYob1eghXV3lvis2FCrTVODSadBSfOUBIvG3FTQPjriJq2OS6ZBKzyUjawSWEjL8dZ2XjCwK5KDi1GSdPDzyvtf/i7W1FlVqAZ7cQu4oV62zo07Mp+Xoeca9OwHfQxXP8Y3O3M3qPZZciJzqIvBAfBLB9ZHduXPMywrn17702t4zTr/1K1PSRGAd2fFWpttBcmIC9G4dmjY6qJavo/sItxDx6PSG32DY+2VZ0pAzMO8A71p6nkNEbVrJrCx5d4y7SNmsrhUl7iAkc0em3koQQnNXsp+D0Dnre8iQeAfJvw2Xk7qD80F6iZ81u1rB/cueWur/T/AJ47v5HW9yHrqiA3MXz6HbNdNn0HVuK2WTk3NafEQiG9JhhlbhzS2kuS7glEjLNcU53DO/wHih9bOsxapglnJm1DRe/QLz6yBOP1xS6glyqNu0i7O1nO/33tSWoUgs7RZF6e0WfmUvJV3Pp/sIt+A8/L+3lZDTxt/9bw9jtSTiJ87p+ntU6wgsrEYDC1LZtQm1+Baf/8htR00ZiHNC5jT9oPhO3pTItHYVpywp8h8QQMLIHjJQvcbS96bQyMG3FUF5K+aE99Lv1ZVnb1VWXoirOJKTrfbK2294IYeZU4Xqq81OJn/SsTcp/Zebvonz/TqJnzcbF16/ZY/9x2330y80huqyECS9c0lFch7G6ipyFcwgeOxnfgF5tHLF1mI0GUrf+hOSsYHCXu3Byss3XrTmJn7ZIyJhMBgpObSNuXMuNbTnQVhRStm8HMU+8aFOjTBiN5KxeiN9dE+y+YoJcqNKKMIX1pP1Tnzo/+qw8Sv4zh66zxxI42hJ6olTr+Pyvi+mXmEf9K9XJLOiTlMv7H6xCAiTg09mtN9p0xVWc/stvREy9qtN7/mppTmLFniVk9Bk5lGxNZND3D3f0UNrMFWsAFm1Zi//wa3D19JO13ZKUwwR0HYSzs+3ipWyN0ajjeMbvmM1Gek16xibJEpl5Oynbt4PoB5/Gxa/pm++hD17n7QlTWTt4GPc88VKLpV4AzAYDOb/+iE//IUQFtO/2ntlkJHXrTzgpXBgYfZdsZQWtpS36j6naQ3gGx7Sr11QIM6kHFxM45mZc/Gwrq5B/bD3O/j54XmN/NxlboT5XhNewzlWtwB7QZ+VS8uUcuj51E0HXWRaS9y0+wDNztl1g+BmcJeZNG8m8mdcQm15EaFEVAFkRfuSHt26RYShXk/D6YkInDsQ0tBld1MsIe9V/FCYTVQt/JebRMbi0IYPbXrgiA0G0uVmo01LoEj1G1naFEJSeO0oXZeeQ9mgMjbaMgwnf4+LhS9w422TKZuTusBh/s57Gxb/pm/yOf7+Nl0HPJysXccPp41YZf0II8lf+houvH7Hd2nfSNJtNnNv2M5KzokONv7ZgMGrIP7WNyCHj27XfrPzdAPhdZduYQ01WOtU7DhA4664rYusXQJjMaLJKcIlsvTLBlYg+I4eSL+bQ9embuF9nAKMlm3fpbYMQkiUhTeOm4JV3pzBm3avMm3kNAN++sKCujQe/mdWqvo0qHQlv/k7AqDgY5cj27Wik/RtQeLsTPE7+WPiO4Ir0ABZtXkPg9eNwdmlesd1atBUFmI06fHw6TzHo+pSXp3PyzK+E9b+RkD7NixO3BIO2mpKzBwmMu6pOYic9808qjuyzbPs24/lb+dVHhKjOS4Js7TPAqr5Ld27BUFJEn5tmt6gGs1wIs5n0nYsQZjODu97TKY0/gDPlO/Hr0hd3//YzFrSVxZRs30SXR561aZKCWacjd9UCAu6/A2ff9s0G70g0OWW4BHjhpJR33rvcMFWpUO0+hOfoYRiLStB9OYeD3u4MeH8lEnDXiiM89vWDGJSu/OOViST0Cieny4WJZbevOoKXWg/A4QHR6Nyt33Q3640kv7scr55hOI29Q4ZX5qAtGPIKKfr9AAP+88Bls2i84gxA1bmzGMpKiAqST/allvLM0/h16XvBxaE3qMjLP0J42BC7kHNpDCEEqfoj5CZvpOt10/CNbHlJteaoXyc2tN8Y0tM2UnX6GF0eegaFj2+T53294Dt6Fhdaxgbc8OxfwQqDoDrpFOUHd9Nn4vM2lS5piBCCzH3LMKgrGdLjAZvF/NkatbqYkpSD9L3j1XbrU5jNpB78lYDrxuIaZNskhdzdy3HrEYvHsM6Zudda1GlFzerVNaS+IXS5yrk0Rm0CQtzpM2xJSMELkKp0dc/HnSuq+3vTuMZ3e3qcK0Jgmb+e+7f18eDCLEj5eC3OXkpc77jvsjE4OivCbKZqwSKiZ45GGe7X0cORjRbdoSRJuhv4BegphMioeewLYDIwSghRYLshyocQguI/1xLVf7xNPDMVOcl0C7pw66qtWZi2xmQycCp/DeriLHpPelbWbM+6OrE9ruJc8irU585Ysn29mva6PLd5NTeeTQIsk+dD0x8jP7DlNy1dUQH5K38j7sZHcPVo2si0BbnHNqAqzmJY74c6bQyoEIKEnDWEDbgJFw955JZaQmbudpAk/EfY9jtSlXgSbUIK4e88b9N+7BH1uSI8urX8u2TvmZi2wnP0MJ79YyPPJaRQO1MJQOum4J8v3sKWGy+9/ffJ87fgoTFwpkeIVaErtWT8sB1dcTV+zzzpkOyxA6R963FyVRA2eXBHD0VWWnplLQFOUqPTJ0nSK8A0YHxnMf4AVClJmHVaAroOkr1ts9GAujgLP9/YCx63t2oe9VFrSjiQ8B3CZKD35Odkl/pwUXoR2vd60s+sRZOZdknjz7e6kqd2/YmEZcL96IYJ7OsZ3+L+TFoNOb/OJXjcrXgFt68GY1HyXkpTjzCk5wMoFLbVrbMlhUUnMagrCZG5zF9zqEtzKd29lbA7ptn0ZmesrCB/3e8EPXYvTu7t+xnFpRZy99KDlz7QhqjOFaL16X7pA2u4Eqp51PL0qs0cf+bvBJZV4FlwlCMuEoFY5qHEHiGMW/YcY1e9dEnjz6dcxZjtlgXse69P5re7hls9lvzVxyjdexafxx5GaqIikoP2Q5+VR+6SA/R4eQKS0+XliW2RB1AIISRJegNYI0lSKvAmcKMQ4qwkSdHAfCAEMADvCiGW2WzErUQIQcm2DUT1vdkmNxl1aQ5Kn2AUigvja9qShWlL0p2SyTyxjIiB4wiOH22TLQazyciZgwswazVEz3wKJ7fmY4+CqyrI8vEnWFXFsgFD+en6lqvcC7OZ/OWL8OzWs90zfiuyE8k9uoGh/R7F1bXt5QRDQn3o3TsCH193Kis0JCXlUlhQKcNIm8dgUHMmfR3db5zVbrGLZqOBlL0LCB53K67+thPoFmYz2Wt/wfuGkbj1iLVZP03hbBa88O1Wnv1uKyf7RPLK+1PReLavEapKLSBoSsu1PO01E1MWhOCJtdt4dPMugiur6zJ5fY/8yemNp3D/bAaPaA0kN1PlozEWPP4jfuVqXvR049CwrlYPq/xIOlnzdxP06tM4e3WubfdITx8GBofj7+ZOmU7D8aI8clS2n7dsiTAYqPxpAbGPjUEZ1r47Su1Bi4OUhBAbJUk6CLwP3CqEqF3OGoEXhBDHJEkKAQ5LkrReCKG2wXhbjTr1DGa9Dv9Y65IJWtx+aW67iwy3BpNJT0LRRipzzxA37lE8g2xTj9Zk0JK8ex5OSnci738MJ0XTl5pkMhJWXk5KWBQ3v/Q3S11FKw3S0t1bMaqq6DnigbYO3SrUpbmk7fyVgb2n4+HRNg9qTEwQM2ddS7/+F9dpPXUym5/n7SQjo7hNfTTH6fx1+McOxCuk/bynaWfW4BoUis8g2xrtBac3g8mMz+QbbdrPpXAWMOh0DpumfInO1Zllkwfx9ZO213XTl6kwaQ04B9lWWsfuMRpZ94//EJ+TT8MZxgxUbzxNv0+mowz3I9nKpqct3k9AueW2N2vRXqsNQE1OKWc/Wo3/4w/gYuNSfXIS5xfIC4NHc1XoxfPWwYJsPj+6m7PlJR0wsrZj3PQHykh/gpuI9ezstNgVJknSjcBALJqWddu+Qog8IcSxmr8LgTLA7q7ekp2biIy/yWYZodryQvxM7VtizFqqqnPZf+p/mAxa4m970WbGn0FTRcKWb3AJCCTi7pnNGn+YzZx+7zX+/M+HnHr35VYZf+q0FMr27aDnqJk4Obdf4oVBU0XKlh+JHnE77h5BbSq5NnJUHLOfG0VoWONe0tAwN2Y/N4qRo1pe+9gaiopPoyrKJHLoBJu03xjlWYlUJZ4kbLJtpVg0WelUbdpF4OP3dVg8VVJcKItvG4TOxRmBZRJV6k3ct/xw3TEKvdFm/avOFuDZPfTKSyYQgmtPJuFfadHjw9mZHvlFdcafGSj28uD+AdH49gpH+u+DrQryd9PomT1ne12bz/57mlXnm9Q6kt5Zbkky6NXN6v5bS1tLro2N7sGH8VcTKzU+b8VKbnwYfzVjoztftQzNqTOUbE+m+wu3XLbfm5YmgQwElgHPApOAfwIXVWiXJGkY4AJkyTjGNqPJSsdYUW6T2L9a9KpSlF62MajaihBmzqj2UXBqG9HDbyOg+1CbXdDaymKS//wOnwFDCRxz6S/OqfderVuFmJycrDb+jNVV5C37hW6jp8ku6t0cZrOJ1K0/E9BtMF3pQ0b+zlYn+8TEBDFlajxTp96KUqlk+fI1BAefD9YvKipiypRJaLVali5dRW5OmayeQJ2uksRzq+hxw4OySyM1hV5dSdq+34i4a2aT9Z/lwKRRk7NiPgEz70QR4GezflrCF8/czBfP3IxSpeWzN36nT3I+b715W93zi2d9R0hxNXmhPvwwYxTrb5Fvt6I6OQ/v3vKXcrRHJLOZl5Zv5P4d+wmoViMBqaGB3PjhayBJFPl44Wo08frMKWzs3Z2quT/ipHSh73tTcW6FXAvAz0/OqzMqX313CsKKWDEhBCmfrMe7TyTGgS2vby4HbUn0ifML5ImoXtw9cTJKdyVL164lOKTevFVYxNSJE9FqtPy+djUZVWWdxhNoqqii/Kdf6fmXybj4yK+Fay9c0gCUJCkGWAt8KoSYK0nSAeCEJEljhBDb6h0XCPwMPCKEaFvRQ5kp3b0V/5HXI9kwrsmoVeHib3/K4Cp1EafSl+PkrCD+thdw87LdFpCqKJMz234kaMzN+A0bhVFVTeWxA/gMGo7C8+LYuKPvv4ai5lIxAwPf+j+r+hNmM3lLf8F38Ah8I9u3zFv2gRU4uyqJ9xsDtK3k2sxZ1+Lh4YZSqSQ5OYkpUyaxetU6wsLDyM/LZ8qUSSQnJ9GrV288PDyYOeta3nt3uSyvQwgzJzOXE9zzarxCrY9ZalWfZjMpBxbiN2wUHrEtT0qwuh8hyNm0CPeB8XgMth/hVq2nkqe+uDBU4YatCYQUW2LRIgoq+dsn63nrk/VUebkx9/5RLLljKMK59d7LqqQ8FMNHY38zlHzM2Lybv/2+Bjej6aLt3a4FJSi1WrRKJaM+fgMAY1EpZf/+D76DY+j65I1INe+voUJN4YaThNzSv0XVHq7el0pUXjkA+cHe7BtpnZc+b/lhtPnlBLz8rFXnyUFbSq69MHg0HpIbSnclZxKTmDpxIivXryM8LIy8/HymTpzImcQkesb3xsPdgxcGj2b21pVyvwTZEWYzqgW/EHrLAHwHt28yYXvT7IwiSVIAsB5YLYT4B4AQ4hTwOxYvYO1xbsBy4J9CiD22G6716EuL0WSeIzLQtjFGZpPRrqQ/zGYTydV7OHziOwK7DaHn+CdtavyVZ57mzJ9zCLv1bvyGjQKg8tgBijatpvLYgYuO3/Hvv+Neo6gvgD5//8QqrT+A0l1/IswmYru2PFlEDkpSj1CRncyALnfWhRTUJvtYq/UYEupDv/5RBAcHs3z5Gnr16k1ychK33zGJ1NQz3H7HeeOv1jPYr38UISHySLScUe/DZNQTMaj93sP0jM0IYSbwOtv2WZi8DVNJOf53T7JpP3Kw9YY+fPXIdVR6ulG7epYAn2odz3+7la4ZFu05hd5IQEmVVW0Ls6AqMQe37pfPzcynSsU/f/yd5//YUPfY8LNpKOsZf2agwMeLWc/OpOucj9AqzyfdaM+mUfR/XxF262C6zR5bZ/wBFG44Scac7RRuONmisYzZnVyn+TdtrnV1s6uS8shetA/fR2Z1SMZvbaKPtTqPkZ4+XBUaRXBIMEvXrqVnfG/OJCZx54RJpCWd4c4Jk+qMv1rP4FWhUUR42r/wurRnHSadkeiZtq1GZA806wEUQpQCF+lwCCHurf1bsuzxzQP+FELMl3uAbaV8/058B4+w+daW5OSEMJtt2kdLqajMIiFjJS5KL+JvfQE3b9vGJmbm76Jk/xYipz+Ke9T5m4zPoOEX/K5l2TcfE6Ky3MQEMOzVd63e+tVkpVO2fwd9J71oU8/uRf2WF5C1/w8G93sIF0XbtwZ69z6fZRgcHMzqVeu4/Y5JJCQkMGjQQAD69OnDij/W4FcvS7Z3fASFhW3LsCuvyKAgaTvxt77Qbu9hZe4Zyg/tJfaJl2waj6fJzqByzZ+EvTkbyaVzCHL/eu/V/Hrv1QBMWnOUhxfsJbTYUg3nXLdQAMb9mcBbn663lB9TupDQM4zPn76JtG5Ni2erM4px8XHv1FVP+p3L5Nk1WxlxNg1flabOcyGABddfTbG/LxkhgeicnTkZG8lfZt5JSlTjW94up/4kd+5O4v4yCf9GEjVCbul/we9L8dHLE4nOKWPdTX3Ru7XciDOqdJz5cCV+909FEdy5knMGBp9/b4NDglm5fh13TqiZtwaen7eWrVuDX9D5lIBBwRHkqqxNr2k/tMnnKPvjMAO+mnnBouByRY6ZcTRwL5Zt4TtqHntACNGy5ZMNMet0VJw4TN/JL9m8L2dXDwytTACQC71BRVLxn1RknSbqqlsJ6DbEpsGrwmzmXNJKVKnJdHnk2YtkPBSeXgSMvjjrMryiHDMWD8fNT72GyspVoUmrJW/pL8SOuKt94/6MBs5t/ZnIoRPxdpEnnsrH90IjMiw8jIULF9UZfwALFy4iLDwMrdbQ5HnWotdXc/LMb8Recy9uXq0rUm91n6oKUncvIvzO6Si8bScybVKryFn+syXuL9i+E7OaYs2kwayZZBGdDckvr3vcqWaRKQEeWgPDTmTxy5Pz6oSK//bGbewdeWHAfeWJLHz622d8cmP0yswhtKyKHQMtFYnW/f0z+mTnN3qsAKbsO8r3E8bwydQJfDK16SQmYTRiWL2EoqMZ9P90Gu7RjV8bLr4eRN5z6UpRA49nYlQ4cbpvFLM/vf/SL6wBaV9vxm9ILG5DO1+Gqb/bhfNPeFgYCxctqjP+ABYuWkR4aBgak7HJ8+wJU0UV5XMX0OPVibgFd97FkjW02QAUQuzCimzi9qTy5BE8unRrlxuc0icQtaZjAlzNZhOp+iPkHd9MQNdB9J3yFxQ2/qKZDFrOHFiAMBjo8shzOLtfOlbGTVuJzs2bkX95j4CKMrz0erJCrK81W7h2GR7de+If076lvLIOrkLpH0Y3xcBLH9xCKis0F/yfn5fP9OkXZhBOnz7tIg9gw/OswWw2cezcbwTFDccvuk+r27G2z7N75+N/1Wg8u/W0WT/CbCZ73QI8hvbDY0jnu7E2RmGYX93fa8cPxF1j4O4VRwgrqsTZJJCoySrWGUmLsXiSlCodG+76D0ZniTIB+yPDWXYiiV19emBqLiu/HXEyGHhp5WauO32WmMISvLU6nISoE4If9OmblPv6MO2lRzn20vsAmCWJYm9P1g7pxz/vmYTOrWVJG8aySqp+nIfCW0n//zyAwrNtO0LORhNfv/orRoUT93/7EDlNGJNNUbwjmarEXILetL1zwhaU6S6cf/Ly85k+rcG8NW3aRR7AhufZC8JkomreT4SMH9CoV7izoskpRVq/pcnn7WMmsBHlh/fSpV/7yFp4BsdQnH6SLu3SmwUhBEXFpzmbvRk3L396jX8Sd3/bZ/rpqks5s2MuysgYQidNRXK+9PZh1/xs1v7vU84EhfDAzKcp9QugtBV9V50+hiY7g34TX2zF2a2nIjuRiqwERgyaLatXNSkpt+7v2mzf5OQk+vTpw8KFi5g+fRoJCQlMvnXCBdnBSYm5TTV5SU4XrcfZxY2IwTe3efwt5VzSKpyU7gRca1vNu4ITGxBaLX7NeII6M8JJYsnUq1gy1RLTLJkFY7ec5sFFe9k5Ko78CIsBuHTmtyhMZhQmCAfuSM/mji9+BMAoSfT66h2MSiVdcwv4z/e/khoaREZwIEuvGYaoyZTVKFtnJLlrtQRXquiXns0tR04RUK0mLq8Qpd6A0mCg9/8+AKBnTiHPrt3WZDuf//A7s156hHJfb4Z98ibFvt6tKqumTUqlfO5CQicNImr6SFmqOayY9l8kwMVopntakVUGoL5MRdrXmwl46kGcWmjA2hvHi/Lq/q7N9j2TWDNvLVrE9GmWeeu28RMuyA4+VtT6ecuWGDcsw8lVQfT9ozp6KLJh0hrI/nAxQ+5p2qC9bA1AbX4OJrUKnwjbeRvq4xPZi8x9yzBGa21eCkwIQWnZWc7mWZIgulx9B76RvW3aZy1VBWmk7PiZgNE34H/1dS0yhoLKS1j7v0+RgJ7FhfTPy2K3j/VZmcaqSgrWLiPuhkfaTa4EQFtRROq2+fTteZcscX/1KSyo5NTJbELD3C7I9l3xxxrCwsNY8ccaJt86oS47ePnyNRTk61od/5eiP0JVXgq9Jz9nM03MhuRUHEF1JoGYx1+0adyfKiWJ6m37CX3rWSRF+8WFdiTCSWLTuH5saiBU++udw5i46RSBxVUo9SacoC45wlkIjDUJET3yCuifmUv/TMuN+fm1Wy3t1hz70LMPsnWQxUuc/OSbuBmMdTqG9Snx9mTo528D8NNncxmRktH4eOv/LUl1/5ucJMo8PTjeNYq5N45md7+eFxh7xX7WhwwIsxlp91rKVh4h7tVJ+A2NtbqNxvjgneX413jgE+LC2HGddXNv2tebCR7XF4WNk3JMVSpUuw/hOXqY1UkelyJHVcnBgmxiJbcLsn2XrVtDeGgYy9at4bbxE+qyg5euXUu60JGrsi6BqT1QpuyiYPfZyyruTwiB6rslhPb0ZcjdXdnwwfFGj7tsDcDKYwfxHTis3YRfXZRe+EbFk6I5RG/va2zShxBmiksSSS3YidmoJ2LQzfjHDmi3G3l26UGKtq0mbMo0vOJaVqNXMhnZ+fkHdTeMbF8/dvey3vgTQpC/cjF+Q0fiFdyeflZI3TYfs0Fnsy3+n+ftZPZzo9BqtXXZvn7+gWi1Bvz8A1m+fE2dDqBarebnea1LtC8pPUtuykZ6T3wGhWv7xOKoS7Ip3PwH0Q8+1aIwgdZiKCsld+VCgp68H4W/7eILOwvz7x/F/PtHkTlvJ2ajCcXNdxJYXsn0HQfomXu+fLu73nCBUSY1+O2p0dU952I01m03N8RTe/44cz3DTdR7TK9wptzj/HWX3CWc2DkftcqrdylMFVVUz5+PMJgY8NVM3ILkiemKSStizJ6zAGhdFTz29Uyrzi/dexZVaiHu02xfsagtGn8t4fOju/kw/mq0Gm1dtq9fUBAakxG/oCCWrl1bpwOo1qj5PHGf7GNoK/rMXHL/u5m+H917Wen9+ezYSEpSBQ/Ov75ZJ81laQAKk4nKk0eJv2V2u/YbMXg8Sau/IKp/HF6eobK1azRqSTOepDBhF85u7oT3vxG/mH7tZvgJs4nUpFWoziYR/dBs3IJb+NqEIOG91+puGJWurox78e1WjaHy2EGMleXEjHywVee3lvKsRIw6Fd1ix7ZK468lZGQUs3xpIkuXrsLDw+MCEWigTiJGrVazfGliq0Sgq6vzOX12Cd1veBClT/sU6jFoqzmzfR4hE6fiFmpdTVVrMOv1ZC2fi8/EMe1aRaEzUHYgFc87p6CQJEr8ffnP7RdK76wcOZSVI4cC4KbXo9QbcDGYeGDbXvyq1ezpe16n8cO7JnDd6bN0yy8mMziAs+HnM49Pxp4vAzbj5cfw1OkwSxJVns0Y/TZKUNOcSKJ8/mJCJwwgesZo2bw6zgYjvzz5Y93/d897zKrzTRo9577ajN+saTi52l7ypS0afy3hbHkJ32Yn8/va1Xi4e1wgAg3UScSoNWq+zU62OxFoU2U1Zf/7kW7PjMOze9NZ9J2NqsRcjv03kZk/XY+rR/Mm3mVpAKrTU3Dx9UPpG3zpg2VE6RNE9PDbOXZkPoP7PIinR+v7F8JMeUUGmerjlGecwieiJ7HX3otXSNd2LUtj0FZzdu98JIWCmMeet8qLc+ofr9QZfwbJieFvfNS6MVSWU7RpNb3GPt6upd5MBh2Z+5bSt9sUAgJsW8po756z5OaUMXPWtQQ3ctkU5Ov4ed6eVhl/Wm05x5Lm02XEHXiHtY+BZDYZObPnJ3wGDMWn3yCb9SOEIOfP33AJD8F7rG08750VXVEVuoJKAnq0bKtR5+qKztUSk/bZlIsKPTFn/BjmjB9zyXaMLgoqOkB6x6zTY1y/jIp9qfR84zZ8B8ib+Xzf0kOAxas59/5RlFrpVcz6ZQ++A7ug7G078fP61Gr82ZLNWSlkVJXxwuDRNHa3Sxc6Pk/cZ3fGnzAaqfrhR4Jv7EvQ9e0TPtUe6MtUpH+4lInvDCEg5uLiCw25LA3AqtPH8O43uEP6DuwxDCEEhw9+T9jAm+juOqTFAtEmk57yinRyDSmUZ55E4eZJYPehRN05CRf39k9LVxVncXbHT/j0H0zQjROt3k53qlflo//frKvyUYsQgsI1S/G7ahQegZGtaqO15B3fjFdIrM2Nv1oyMop5793lhIT40Ds+Ah9fdyorNCQl5rY65s9gUHMk6WdC+lxHQLf2+U4IIUg9tRwnN3eCbhhv074Kk7diyCkg9K9PXbb1OltL6d4U/Id3a1GSVmdHdy6Tip8W4hUXxqBvZqHwlj8Oe8F9V7PgvquJzigmK8Y6L7omq4TCDScJfedl2cfV0ZwtL2H21pVEeHozKDgCfzd3ynQajhXl2mXMnxAC3bJfUfi4E/3g5bNoNBtNFPzfrwy4vQs9x7QsGfSyMwCF2Ux10mn6TLRttmFzBMVdhWdwF3IOr2F3wWZ8o/sQ7BSFu3sQri6eSJITJrMevV6FVltKmaIEVXEWmrJ8PAKj8I3qTc9bnsTdT75tZGvJLjlA0ZbVhE6+C+8+rZM9Gfny22z6z0eM+MsHVlf5qKXq9DH0pcX0HGFdrE1b0VYWU3xmHyMGt708k96gIi//COFhQ1pUKaSwsLLNIs8ARqOOI2fm4xfdh7B+tvUE1Ccrfxea7HRiHnnOtkkfqWeoXLuNsDdnd9psSltStvcsiuGXdzUDYTBg3rqK0o2n6Dr7JoKsTMhoCbHpRbirdST2sWxzW2v8AaR/t5XIe0cgOpEYt7VJJLmqKrsWea7Fad86VCkF9Pt0uiwZ4faC8Zc/cPVQcN1TLYvPh8vQANRkZ6Dw9rZ59YtL4e4XSo+bHkZXXUZFVgJFRRlo845h0mkQwoSTswsKdy/cPP1ReoXhHzsQj8Cods1ubQyz0UDq6T/QZJwj+qFnWh7vV8Mvcz6nf24OA9/+NxXefq3e9gWLoG/h+j+Iu35Wu279AmQfXEVovzG4ubU9oSAv/wip59YDEBN9bZvbawkmk4GjqQtwD4ggclj7lUIrz0qkZN8WYh55Hic322XD60uLyV3xC0FPTEcRZPsqCsJkwlRhf96MpjCqdFQl5hL+UPvWyG5PdCnpVP7yG+4xQQz83yxc/eXNdAVL6b35j/+IBBidnRiz9mWrYxfLj6SjySrF6+FHGk2gsVdsnUTSEagPn6Lyj8P0/3wGzu6Xz6Ix8MAWdu3K56EFY6wyai87A1B1JgHPnvZT+N3Ny5+Q+NEQb/8rcV1VCWd2/4yrfyAxj79g9Q38m1++ZVh2JgCbPnuPcS/+rU3jKdq8Gu/4AXiFxLapHWupKjiHuiSHgTF3ydJebfKIrZJIGmIyGziatggXDx9iRk5tt61RdWkuaXt+JfK+h3Dxt51RZtJqyV7yA763jm23eCrTxuXoZPDKthflB8/h3TcKJ3d5FpSRnj4MDA6v2947XpRHjqpj3g+zWoNx4wpKd5+h69NjCbrOdkbu6nu/rqty8N9Hr7fa+BNmQcacbXjdNgnJTgS4W4qtk0jaG925TMoXLKHPB3fjJlMtdXugKjmPY5+c5P4516L0sc6o7VxXZAtQpSYTO+i2jh5Gp6Ms4yTp+5YQeN1Y/EZca7XR8Mzm1YxJsbj/BfDXyW0zntSZaajOJtLvttfa1I61CCHIObyWiMG34OwkT6aeq4tnu3n+zGYjx9J+w9lFSddrp7WbDJJeXcGZbXMJmTAF9y62U9K3VPqYj1tcLN43jrRZP/VxO7uTgl1nGPDVTEp22P8WF0DpvlSk3m2vWBPnF8gLg0dzVWjURc8dLMjm86O72y3AXwiB+uAJqpasxG94NwZ//4hNYv1q+eb5X/BWWeRtjvWLZHGN+LY1lGxPQnJ2wn1Y+1YtkoP2SCJpLwyFJZR+M48eL03Aq6f11afsFX1pNRkfLGHC24MJ7mG9UXtZGYAmjRp9SRGewbYV2LycMJuMpJ1ZQ1XiSSKnP4J7lPXv3YRjB5m968+6Ek6fjLmFQy3UCWwMYTJRsHoJXYbc1m56dbVU5Z3FqK2mq5P9eJFbisls4Oi5X3F2caXr9fcjObVP8L/JoCV5+w/4DRuJT3/bJprkHViF0Orwn367TfupRZ+eTe43W+j7f/d1Gp0wYTJTfiiNkAlte4/GRvfgiaheeEiNexFjJTc+jL+ab7OT2ZyV0qa+LoUhtwD1sqUYytX0fOs2fPpebJDKyRM/bGNATbWdci9lq2r9CpOZzPm78Lm3/bzwDi7GVKWi7Kvvib5/FAEj2yehrz0w643k/fNXBk6JpdeNrZPZuqwMQE1mGu6RXdo9Xqyzoq0sJmXvLyi8fYh94iWcPayPoYnPSufTPxbVxbYsGzCEOWMulpCwhrIDu1B4eePfdVCb2mkNucc30zX8+nbTWJQLk0nPkXMLcXH7//buOr7K8n3g+Oc5te7e6O4OERBMRAUUkVZs7E70Z3e3goQiIUiI0t0i3b2NBeve6bp/f0z2RSTGds55zs6e9+vFCx3bea6z7dzneu64riAaXzXaY8mf0+ng+LZf8E+sT2Qf9x68yk/bimn3QeJeedQjnT4cpeUU/fATTZ8cQFBjz5aUqgn9iVy0EYFoIsOr/RjNw6MYX68ld9x0C/4B/v9q5wX/a/9lNpn5beli0sqL3TIT6DQYcaxbTP7aw9Qb3YuEwV3c3q3B32TlzjnbK64vwaC51asnm7/2MLqIIPxa+07SUds4LVZKf/iRqL4tiR8kT2UQdxBCYPxxHsEx/vR5sPpbIGrXu9wlmDLTCKjfSO4waoXTZXs4suwrQjt0JXHkvdVK/gB+mDOtMvnbUa8RrwwdW6O47OVlFG1aTeOOt3r8rlmfn45VX0RcbAePXrembHYTO4//jC4onMZXeW7mTwjByX3zQJIqekK78edlPHWSknnLiHnibtTBrt/sfy5hs1M2eSpxN3Ygqo9n2km6Sum+dMI61WwV5KnOvQkMCMQ/wL+ynVdJQQEBGg0lBQWV7b/8A/wJDAjkqc6u3eMs7A7Uu1eR+9rHOC12Ok26l8TbunmkVZddreKX4T0RwPCp9+Osxs2GcDjJnPUX/gMGKrN/MhF2B/pp0wioH0WDezyzBcdTAlcuI+doKYPe7lqjk8w+lQCaT6cTofNsm7DaxmEzc3z3rxSuX0m9O8dXuZ/vhfR7fAI2SUV2SCh33v9EjePLX7OE0E7dZSmBk3d4I7Gt+6KSak/dNIuljJ2HpxAUXZ9GvYe7ZM+fzawn58A6bGb9RT8vNXk51rxsEu+4y6215qyF+ZxeMJ3oB0ehTXB/xX4hBOb5s9FGBlOvFjaHLz+UiT2h+lswkoJC6R5Xr7KTQ4vWrTh+5ChDB95M6tHjDB14c2Xv1zMzg93j6pEYVPMSJ8LpxLhjP/lvfkTxtpO0+WA4TZ8a4JYTvudS2R0kZBVh12mYeH8/bp77CNlJ1TvMVLjxGNqwQPw8dEhJUbHUW7Z8A45yA8LpxDx3BpIKmj49wKeS8OLtKfw9/SR3fHHFJTt9XIpPrZVacrMI7Oa+llO1nT4vjeStMwls1IyG459GpavmCUEhWP/Zm1z75Cs4/Pxo//onLonPdDodw8ljdBjyokse73LYzHpKM4/SNt5zJVNqymDMZ8+R6US36ElCh2tdNsgVnthB5s7FAMS3v/q8n5Oes5nyQ/tocN/j1f89qgKH0UDGnEmE33oD/m2au+06Z1NtW4YxJa/W1gkznMgl+rbq75HrGPO/IrIxsTH8sXwZQwfezOHDh+nUseJgSZs2bViwbAnh0f+ridcpJrHadeCEEJgPHse4ZAkIaPL4DYR3bVTt51Adv947mbj8Mm6d+RDFkSGUhl+6k8L5CCE4PfdvAm++yacSD293pmyNEIJAex7mnFLavD8clQe2i3iKMa2AtE//YNgXVxCWWPPe6j6TANoNeoTdjjYwTO5QvI7T6SDt1GpKdm4l7uZhhLSp2RLnwbeeQyMEe957mSuffQN9UPUGyrMJIchfvojoa25ErXPfyb4LKUzeRXj9Nmi1FRv9L7d4s6eVlKax/9hs6nUZSHSLni597Kjm3f/197lOl+2laPNa6t/7GBoX/OwvxGmzkbFwCgFd2hHcz7XP8UKMew9TtnAX7b+snXXCHEYLdr0FdQ32/0X4/fuwS0J8PLNmz65M/gBmzZ5NQlw8Jof9gl9XFUIIzIdOYF6xDLveQv27ehPVp6XHE+9PX55LUk4pABM+Xc7z795R7ccq3Z2G0+7Ev4PnW4xdbvFmX3KmXE2AyKd0fwbtPhmJ2t/9PZc9xVZi5NSbc7j22fbU6+SaOsc+kwDaigrQRcVU+47LZtZTeGIHUc27o/V335uap5lKckn+ezaqgEAajX8WTWjNEuTd776I5p8Wbxqn0yXJH4D+8H6cVgv1Ii6/1IIrFCXvpkXS9ZX/L0fx5qpK5TAZRxfR+KpRhCW5/k1G6x98wZm/0swj5G1dSP27HkIX4b5i68Lp5PSqWajDQgi/3b3t5M6wZmRTMn0urd+6vdbUCbOVGslbcYDYAe3RhgViKdCjiw6u0VaAYovpX/+fnZPD6FGj/vWx0aNG/WcG8NyvuxjhdGLafxTzypU4TFbqje5FdL9WHtnjd66xs7Zyxa5TAJj8NLzwds1KWGXN30HANf1lmf3zxeLNVaUOCSI8wkTO0pO0+3Q0mmDPTyS4S8WJ39m0GZBE+0Gu2+bmOwlgSTGa8OoXn63KstcFr+2FyaMQTtKzN1O0cTVR19xIeLcrazwgbf7o/wi02SoeH2j/SvW7fJxN2O3kr15M4x7DPFa37myW8iKshhLCw/9Xv87TxZurQggnR0s3Upi8kxYDHiIwsmr9Hl2lPDeFlC2zSRp1H35x7t1qkbNjMfaiEmKffcAjvxOO0nKKvptKk0euI6R17dlGkrfiAGmTNwCQNLwnTrOtyrMeF5ot2pefXfnfZ077Hj9ylDZt2jBr9mxGjxrF4cOHGXzjwH+dDt6bn3XJawqbHcO2PZjWrUOl1ZA08gqiejeXJfEDuHHlfh76aTNQ0bN8wMInETWYfTSmF2JIziP+/k6uCfAy+Vrx5suh2bea04t20+7TUR7ZM+opQgj03/9GUJQf/R5r49LH9pkE0K4vQxNS/bv2Sy17XUxNkkd3MJcVkLxjDiBocP8T6KJqXsJi4XcfE200ABXJX6eX3sOhdc0SWcmuv9BGRhOaKM9py9LMw4TVa/Wvwx+eLN5cFXa7hf0ZC7Cb9bS+5Um0AZ7tKWooyODk+p9JuH2s20/a553YiHH3QeImPIJK5/4lHKfFSunEKcQNaE/01dU/PCGH2AHt//W3yk+D02K/2JdUutBs0WlDGTtyM2kk+VUmfy1at2LBsiUkxMWzYNkSBt84sPJ08PylSzklLGQZLtwqz1FajrR7LblL9xHUJJbGD19LWOeGsu6Ra3XkNK9+sryyfumoKffhqOF+sZxFu4m7qQOSVp6lR18q3nw5tIfXkzFrG+0+GVlrZu+rSvP7YgpP6Rk7pY/Lt0b4TALoNBkJtFZ/U+TFlr0upSbJoysJp5P0nIpZv8irriOiZ1+XzJ7EFxfSKq9iVkAA1z76EhZ/10yvOy0WCjeupuW1D7jk8aqjLOsEiYGuvbNyJYMxn33HZxMc15gm/e/0eJ1LU3E2x9dOIW7QHQQ1dW9v2fIjByhbvoa4lx/2TLkXpxPT7Bn4J4ZTb2ztO/GrDQskafj/9kf6xYZiyS9H2O2XbD12sdmiL/Zs4b3WV2A2mStP+4ZHR2Ny2AmPjmb+0qWVdQCNJiNfHNn2n8cQQmA5loJj+0ZKdqUS3a8VbT8cQWDD6P98rhxUThCSBELwzDvDyKxfsy0NdoOFgvVHiH39Gd8qr+Hl/I5tJO2nTbT9aAT+iRFyh+NSMbvWsn5RGuOm90Mb4Ppx33cSQKsFlSZclmvXJHl0FVNxDsk75iBpNC6b9TsjJySM4oAAIkwmHrrjbrJiXFeKo3jbRgIbNyMwKsllj3k5hBDo804R3nGgSx7P1YdHTnGE9P0LSep2MzEuPuxRFebSPI6tmUTsjUMIae3edlbG9FRylswl5ul70cS4b3/h2Zyrf8dapKfthyN84sSmOkBHYKMozEdTCGh38Rn1i80WnSgpZGLmMX5bupjAgMB/FYEGKkvEGE1GJmYe+1cRaHthMZrDW8hfeQCVTkPcTR1p+tQANEHuOy1eHYfbJvHmizfjlGB7jyY1fryCtYcJ7dgATUTtO4hYWw+P+J3YxKnJ62n74QgCapjAe5vS/Rns/Wg/o3/sS3CMe/YzypoASpIUCUwBbgAKgJeFELOq81jC6ZRl/5jcnHYbaWlrKNm5lehrBhLW5QqXfR8a5GZREBKGMTCIK59/m5jyYvLDXPcic5iMFG/bSOuBj7vsMS+XzVQGQuDn55pB21WHRxwOG4fzV1CWdZwWAx4kMMq9ra/Ox1xWwNHVE4m+5iZC27t3L6QlL4fT86YR9cAI/Bp55rlqD64lb9Mx2n85FpXOZ+6FibupE/mrV+DfplmNxoLVGSdJKy/mqc69Od/t5Clh4Ysj2zhRUoijTI9x90Ec+3ZiTM0nql8rmr94C8GtErwrsRaC3+6ayK9DuzP/tq6svsY1M/9CCHKX7iNwyCCXPJ6n1cbDI37HN3Lqx/W0/cB7ZpVdxZRRyKn3FzDk/e7ENnffkrbco963gBWIAzoBSyRJ2ieEOHS5DyRJEkI4XRyedyvLOk7qjgX4xcXT8KFn0YaGu+yx26alMm/a1zgkieyQMK5/5jWXJn8AxX9tIKhlW/zD5GuzZS7Nxz881mVvUq44PKLX57A/+TcCI+JpM/gZWcriWMoLObr6B6Kuuo6wzj3cei1baTEZv04i4o6bCWjn3iXmM0wHj5P902bafToKbVjN62l5k9gb2pG3Yj/ONYtQXVezjjonSgp5dN0fJAaF0CkmkQi/AIotJvbmZ5GWkopf+i5Ktp7AkJxHeLfGxN7WjYjujb02oV445ntiC/Q8/f0alt7QDpOLZiUNJ3Kx683419K2b7Xt8Iju6AZOTdlQkfw18q3kz1psIPX1X+n/eBsa93Jv4XvZXqWSJAUBtwPthBB6YLMkSX8AdwIvXfbj6fxw6q0ujtI7WY2lpB76E1PGKeJuGkpwy7YuffzQ8hLmTfsaCdAIwekw1++rcJiMlOzYSpubn3T5Y18Om7HMpbUja3J4RAgnJ4x/k3NwHfW630JUs+6yzJ5Yygs5sup7IntfQ3g39+6LcxgNpP86kZDrehN0pWdOXFszsimeOptWrw0hoF71Kwd4K0mtouXrt3Fkwm/4Z/+E/+DbUYfXbBYhy1BORtZOLMdTUWceonT3KRxmGxE9mpB4ezfCujRC7efdNdemPvwTsQUV3W1O1Y90WfIHkLfyALE3tK+1q1C16fCI9uBa0n/ZQtuPRhLYwLeWfR0mK6ffmkXbm+rR8bZGbr+enLdpLQCHEOL4WR/bB/znt1CSpAeBBwE0F0hG1IFBGC2ub0buSZcqJ+N0OsjI3kzRpjWEdb2C+MEjUOlcW6xW5XDw96dvVfb3TQ8L5+77XL9EW/z3JoJatsEvRN4XsMNmRq2Vv16U0VjAwbSFIKloPehJ2b4v/0v+riaih2v7u57LabGQPm8SAR1bEzrgKrde6wx7UQlF30yhyaPXEtq+vluvdfa4pfPwyURdRBDtPh9Dxowt5L7xKRE9myJadsWveaNL7vESdgf2ohLs2XkE6FMwJOeiP5aDw2AhpE0SQR3rE3/zrQQ2qai7ais1krNod2UtQm/09bOzaJmcB0BRWCBjJ9/nssd22hwUbDhK7MtPyL6k5uvUu1eR8dt22n48koBqtunzVsLhpOizX4luGsJVj3imGoGcv6/BQOk5HysF/lPfQggxCZgE4J9YX5zvwbThERhTT7o6Ro+6WDmZ0syjpO1ZhCYsggb3PY4u2vVTw5LDzqG3X6hM/sp0Om54+jWXX8dpsVCyfTOtb5Rv798ZEvLuT3I6HZwwbiP34HoSOt1AbOveSJI8swgVe/5+ILLPNUR0d3PyZ7eTsWgq2sQ4woe55gDOJa9pNFHy3WQSbu1CdH/3D7Bnj1vBLeLPO265k9pfS6P7+5M0rAf56w5T/NdGiqf9ispPiy4mBG2IP5JWDaKi0Ky93IytxICtxIguKpiAepFoGkYT0bMZ9e/sQ0C9yPOWoTi3FqG3+fiV3+hyIBMAo7+WwXMeBRfOrJfsSCGwfhSaGN9KSLzOliVkLdtPu09G4R9f+w7aXIwQAvOUeditTm56rbPHVn7kTAD1wLm3xaHAhYtJXYRfTDzWvOxLf6IXO185GVNJDqcOLsZaWEDsgMEEtWjjtl+OA++8WJkOWVUqekxwTaHnc5Xs+ovARs1k3ft3htovALvFIMu1i0tSOZK2GF1QOK0HPY1fyMXfQNxZcNxUksuxNZOI6nc94V17ufSxzyUcDjKXTUfy9yPyrqEeGeyEzU75lKmEtq9H4h3u3dPobbThgSTe1o3E27ohhMBaqMeaX45db8ZpdSCpQKXTog72QxcRhDYy6LL6p55bi9DbdN2XDlR0+Rj422M1KvR8PvlrD6PpUrd+py5HTU8YCyFwrlpI0baTtP9sFLooz9ZA9QTtosWkHCxm7NS+qLWemwCQMwE8DmgkSWouhDjxz8c6Apd9AARAGxmNw2TEZir3eJFcVzm7nIzNWMapkyvRH9lPZJ9rSRpxzyXretXo2jYbKiEQVNT66/B/H7vlOsLhoHjbRpr3u9stj3+5/EKiMZfme/SaZnMJR/NWoc87Rb0eg4lo2KFKSZC7Co4bi7I5tmYSMdfe5PYDH8Lp5PTaOQiTmZgn7kFSu79Ru3A6Mc2ZgTrIj8YPX+tdp1I9TJIk/KJD8It23Rh5bi1Cb3PPN3fx6avzGTHtfhxa146hDpOVkp2pxN8+wqWP60tqcsJYOJ1YF/6K/mQu7T7xvQNbAOFbVrF1URp3Te+HX5Bn99HKlgAKIQySJC0A3pIk6X4qTgEPAaq161xSqQhs1IyyrONENe3qwkg9y241kZGxgeIdWwjr1J3Gj72EOtDNdZksFmx+frR54zOS8nM4HRXr0iWSs5Uf2os2MoqgaPfuv6qqgMgEbIYSrFY9Op172/jZbCZOlG8h//jfxLbuTcPew1Frq74R3R0Fxw356RxfN5XYG28ltH1nlz3u+QghyN66EFtOXkWLNxe/GV+IY8UCLHlltPlguGwtxxSe1W1XKns61Meh1ZDWKIZhMx5yy3WK/04mpE2SR4qW11bVPWEsbHaMM6djLzfR7qMRqAO9q46kKxT9dZJ93x5m7JS+BEd7fi+63HtWHwGmAnlAIfBwdUrAnBHcuj15h/fWygTQYbOQkb2lojRKi9Y0Gv8M2hr0Nq6qFV+8S4OSQm558BmSE+txOibebdcSQlC8bSP1Wl/vtmtcLpVKTViDtpyyHaCFzj1Lnza7iWTjDvIObyK8YXvaDnkOXdDl72FxdcHx8pxkTm6YTvzg4QS3aueyx72QnF1LMB9LJe6FB1H5ufbw0oWoti+neHsK7T4b7fWnVBWucfvvO3n6u7UApCdFMHqa+7oMFW4+jqqt9/QL90bVOWHsNJoomzwVbWgArd8Z5rVlhWqi7FAm6V8sZvjXvYhqJM+qpay3w0KIIiHErUKIICFEg+oWgT4jpHUHTBmnsJQXuSpEt3PYzJxKX8v+he9hyTlN/XseJeHWUR5J/hZ++xENSwqRgEWTPnP79cyZaThMRsLqe1e/1fh2/ck5tAGr7cJ7Aa02A2kZmy76OecyW0o5XLiarTs/w1JWSKubn6BR7+HVSv5crSTjMCc3TCdh2FjPJH8HVmLcdZDYZ+9DFRjg9utBRZeArPk7afPeHWhDPXNNhbxuWHmAp79bW7mXecJrt7rtWk6rnZJdpwjo5L1tJB3lBsqWb8BRLs8+5+qwF5dR9Pl3BDaIosWEQT6Z/BlS80l5ez6D3+1GYnv5Dg/5xHfWbtBTtnc7oZ16EN61F+kpq2necbjcYV2UzawnM2sLJTu2ENikBfXHPYJfrPtm3841cfoPtM7PASr2/I25+xG3X7N4+2bCu8t3yvVCAiMTiW7ajX2pc+nSdCxq9X9niqra4UMIJ8UlKaSV7f5nO0I32lThgIcnZZbsIv+vP0kafR8B9Rq6/Xq5R9dh2LSD2BceQh3i3mX2M0wHj5M9bS1tPhzh1c3hbaVG8lYc8OoSKrXFoCV7ePHLVUhUjGkjptzP6frue92V7ksnsFE06lDP/E5XR23r8GE9nUPxt1OIu6kTSSN7+uR+XXNOKSn/N5vrX2hPk95xssbiEwlg2d7t5K+q2Bwf2fsaUr/9AH1CGsGx7n9zu1zm0nwy0zdSdnAPIW060OA+1/btrYrHV//JVSkV5RcFMPbO8exr5N4K9naDHsPxwzRtf5tbr1NdSV1vInXTbHYcnUL7RkMJCvp3mZ2LdfgQwklZeSaZtmMUp+5F7RdITIueNOx9Bxqdd808pWVtpPivDdQf97BHbjjykjdRvnozcS+MRxPhmUTMkpJRUej59VsJaiz/SfOL8fYSKrXF1euP/Cv5e+jTUW5N/gCKt6cQ0bOpW69RU7Wpw4f5aDLFP86g0YNXE3Oda5sbeAtrsYHUV2fQ694WtB0o/z54n0gAQzv1qPxbHRBA3E1DSV41k7YDn0LjJ/9dtRBOyk4fI+vUFsynMwjregWNH30RTYjnZyYG7/qbRzavqxwoP7p6ILuaur/9Vtm+nQS3bOcVP4/zkVQqGl81mvyjW9i1ZzIh8U1JDGxNaGh9/P3CKjt8COHEYinDaCqgXJ9NoSOT8uxkNAEhRDRoR7Pr7icwMkHup/MfQjhJPbEU/bFDNLj3cbThru/ucq78U1soW7K2IvmLcv/1AGzZeRR9N41mz9xIaDvP90++XN5eQqW2eO7r/yV/T3x4BwfdXOQbKur/hT94N57ZzVo9taXDh+7IBrInr6fFhEGEdfK+iRtXsOvNpL82g3Y316fbKO+4cfCJBFATFExk72sq/z+kTUdMmekc3TiF1v0ekKWXKoCxKKuihl9+LuqgYCK69yZx+DhUWvmGjLbZGZX/Padzd6b1c/+BDCEEpXu207jbULdfqyYkSSK2dR+imnajKHUPmRkHMKYtw242oNJU/MycNgtqv0D8Q6MJiEwkPLEt9bsPRhfsmQSnOpwOOyf3/oa1KJ8G9z7u/lPlQH7aX5QuWkXs8+PRxHimq4m9sJjCr36k4X39iOxVO3qyemMJldq4LH33d+OY9cBUnnl3GAc8kPyZs0twmGxo63lu244vEk4nzrWLyFh/lLafjPK51m5nOMw2st6aQYMuUfQZ30rucCr5RAJ49h5ATVDFfoyY624mb+kCDq/5jhZ97vbYHiy71URJ2kHysnZjSk9B2O2E9+hL3E3esfT5/i3DaFBcSKDVyhtDRnnkmpasTITdRnBcE49cr6bUOn9iWvYipmUvbGY9Bcf+JqJRezT+wai0fqhU7q9d5yoOq5ljf/2MSqul/l0Pu7x14PnkZ2yjdOEKYp9/EG2cZxq1O8r1FH81icTbuhJ7g/sPtbiCtyZatWVZut+GIzRLLWDK3X3Jjwvj+j+e9ti1S/emEdapgdfuUatp8WVPcFqsGGf9gq3YQIcvx6IN957XgCs5bQ7yP5xFeL0grn+hajVfPcUnEsDi7Zsp2rASh9VKzNU3AhVLerE3307xto0cXvoFUVffSP3onkhuePO2GcsoyTxCQf5BTGkpBDZqSliXnsQPGUH5wT2VS9Ry8Tcb2f3Bq3x89UCm9bueh+8c79Hrl+3fSWiHrl71i19VhSd2cHr3UiSVyqUlWKrrcrqBWA0lHF0/mcCGTYi98dbKosvnu2FylYKMvymdv5zYZ+9HG++Z/XdOk5mSbyYR1bclibe7rkaiu2Uv2k3mjK04zDYa3NVH7nAq1YZl6etXH+T1jyoONxxok8j2Hp5dUivbn4HTy6oZnM3bDn+cm5DaC4spnTiVwCaxtHjpliqd9PXWG6aLEQ4nJV/MRqNTccubXc7bSlFOPpEASuf8XflxSSKyVz+CmjQnb9nv7C/bQETPviSGd0bjX/27IrvZgD4/jUJjMsaUE9hKighq2pLQdp1JGDoGtf//Nv6fvTQtB53Fwp4PXkUCXli3jC1NW3K8XgOPXV84nZQd2kvrGx712DVdyR3Fl2uiqt1AjIWZHF8/jYiefYi48up/Jd/nHppylfz0bZQu+Cf5S/TM6Tan1UbZxB8JaZ1I/bu9J4mqzbxxWfpsNy3bz4TPl1fu+TMFeH5LTdnB00Re7Zke1tXhbYc/zk5IdU0aUPzjLyQO607i7d2rPDFQW2amzxBOgeH7uVjK7dzx9RWoNN5V/QJ8JAEM79EHlU53wZk2v7hE6o17GFN6KiU7trB/7TL84hIJaNiEcHUi/qFRaANCUen8UanUFb0H7VbsFiM2YxlWQzFlUgGWvBwsOadxGPT4JzUgoGETYm8aSkBSA4+0tLpsTif73n/5X/19PZn8AZjSUtAEh3pF39/qcHXx5ZqqSkJakn6Q1L/mEnfzMELadvzPv599aMpV8tO2Uvr7SmKfewBtQuylv8AFhN2OfupUdDGhNH70ulo3w5wwpAtqf61Xz7R5m6GLdvPMt6srk7/7vxrL0VaJHo3BWqTHYbSg8dAMd3V42+GPoN4VfajDwgxkTZxOsxduJqJb48t6jNowM32GEALrtPkUpesZ+X1vNDovzA/wkQTw3EMg5yNJEoENmxDYsAlOqxVTegqm9FTycnZjPVyIw1CO02xGOB0gqVBptagDAlEHh6INC0cXFUNImw5EX30juuhYJJX3ZfPnOvT285XJn0WloqOb+vteTPmR/YS06eDx6/qqiyWkQgjSszZSvH09SaPvv2CNv6q8Xi5HfspmSv9cQ+xzD3ps2Vc4nRhnTkelUdHsuYFet7RSFd4+0+ZtHpq8nrFzt1cmf3d/O46TzT1fR01/LIfgFvG17oZDTpKfDr/yTPJ3ZtPu8zEEJF3+obna8noRQiBm/87pA0WMntQHXaD3plneG5kbqXQ6gpq1IqiZ95zGcbW9b7+AWggAnEDH1z7xeAxCCPTHDtHy6vs9fu26xumwk3xgPuasTBrc96RHyrwA5B3fQNnyDR498CGcTsy/zcRebqb127ej0njn3bXChYRg1PydSIBTgnu+u4uTTeUpomtIziWombwFfGsTe34RpZN/wj8pgvZfjkUtw5K9J6kX/smxLbmMmdwH/xDvbj/p/dNYisvW/eRR/Bx2oCL5a/vqR7LEYc3LRpIk/MOVwdKdbKZyjqz7AYfJ6LEafwC5h1ZTtnITcS+O91zyJwS2xb9hPl1Mqzdu88k2UYrzkCSefed2yoL8GDz7YU42la/8ijG1AHPo5S1f1lWmfUfI/+BrYq5rS4sJg3w++dMtXsyRFZmMmtibwHA/ucO5JCUB9EE7mrXinQFDcALdn38boZHnTdJw8ihBzVsrSyVuZCjI5NCyLwls3IzE4Xej8nP/oCOEIGfPMvQbtxP34ng00Z4psSSEwLFyAeWHT9P6nWE+/2aigOvXHIJ/VjJ2dm3MwIVPUhwZImtMpoxCj+1zra2E3YF9xXxKZ8+n5eu3kTi0m8+/DwSsWMq+39MYPakPwVHy1B6+XMrtsw+ZOfkLTBod99/9CDN79WNmL3k3ARtSTpDQsJesMZxxOeVTaovMkl3kr1lE3C3DCGnz38Me7iCEIPvvPzAfPEbciw+hDvPcm7FY/wclO1Jp+/FINEHef3etqJlvn5lFx4OZvP7hEtZc1ZLXXx0id0gIITBnlxAZ66n6lt5fz+9c9sJiyn/6BXWgjo7fjvPZ+n5nC167nO2/pjB2al9CYr2r/efFKAmgj5j88/d0zUxHAOM2r+XnPvKWnxEOB+aMU4T0HCtrHGdUtXxKbeB0Okg5+ieG44crevrGeeYUpHA6ydo4D+upTGKffxB1sAffkDYvoXBDRbcAbWjtGWAV1SAEM++bQqPMIgCMfhref+ZGmYOqYCsxotJpUAV45gbE2+r5XYpx10FKZ82vKPEyrEetPJx1uUI2rGDb9JOMmdyH0PjalewqCaAPeHrFH/RJPVH5//sT5O+Bas45jSY80mt6/3pbPb/qshpLObH1F1T+ATR88GnUAZ75/gqHg8yVM3GUlBH73AOoAjy3xKH6ezk5K/bT7tNR6CLkmQVx2h1YC/WyXLsuUdkdLBzzA9HFBgCKQwO4deZD2P28YzO9rUiPLtpzs97eVs/vQpwWK7bF8yjfk0arN4cS0tqzpXnkErpxJVunHmfM5L6EJ9WOGdqzKQlgLTdi20Ye/Gs9UFEa4d1rB7GnaQtZYwIwZ6ZdsAyJHLytnl91lGWfJHnzTMK7X0lU3+s8VorIabOSsfhnEIKYp+5FpfPcm7F610qy/thNu09GoYuSZ++XcAr0385FUvv+bIacNBYbi8b8QHiZCYCMhHBGTb0fofaereq2EhPaMM/NQHtbPb/zsZzKpHTaDEJaJtDxu3F1ZntG2KaVbJl8jDGT+xBRr/Ylf6AkgLXakF3beGP575W1/qZ3u5IZfb0jyTFnZRIR1EjuMHyCEE7S0tdRvH0TCbeNJqhpS49d22E2kbFgMuqIMKLuHY7kwZIr6j2ryZq/g7afjMIvNtRj1z2bEALbz/MpyTIy6vsrOfBHuixx1AUTn55FWJkJAaQ0iOKuH+8FLzs44DBaUNeRBOdShN0BW5ZQ9MceGj9yLdH9vbc1nquFbVrJlh+PMfrHPkTUr717ypUEsJYKMBv54M+5lcnf9vqNeP+WYbLGdDZLbhYB3a6UO4xaz2Yq58SO2QiblYYPPI02LNxj17bry0mfMxG/5o2IGDXIo8XPNfvWkDn3b9p9PBL/uDCPXfdc6gV/krK7kDGT+6ANUIZLd7rvu3GobXbGzd7GVC/qjXw2p9WulB4CbFm5lP0yC22IPx2+G4efB5fF5Ra6sWLmb/SPfYhsUHuTP1DKwNRawWYju5MaUK7TsbFJC+667wm5Q6oknE6sBXkEKPX/aqQs6wSHlnyOf0I96o97xKPJn7WogLTpXxHYuQ0Rowd7Nvnbv4bM2X/R7qMR+CeEe+y65wpctYzDyzMZ+X1v/EOVkjPu0OJ4Nn8M/watpaJuqUOr8drkD/6pSONls5KeJBwVs375n3xP3I0daP3eHXUq+QtZv4KtUyqWfWt78gfKDGCt4rTb0eVl89HKxTw58m7GPPAUOJ3gZW3p7GWlqPwDUGuVpZLqcDodnEpZSeme7STcOoqgZp5b8gUwZ2eSOWcyoYOuJaT/FR69tmb/GjJn/UXbj0bin+iZgtbnE7F1FZtmnOTOaVcRFKX8HrvDVRuP8d47i5CAGQ9OZcTPD8od0iWpNKqKpc86yJqRRfnMX9EE+9Ph67vwj5dvZl4OQauXs23GScZO7kt4Ld3zdy4lAfRiTqsVY8pxSnMOYzlxCrJysfxTFLXkg1e4t3kj4vvfhn9SfXkDPYettBhthGeKA/sac1kBJ7fNRB0QSKOHnkUT7Nm7a0PycbJ+/4XIO4cS2LWdR6+t2beazNnbaPvRyGr1CnWV2L3rWP3tEcZM7kNYgnecYvc19/20iXtm/VXZ13fqWO+oF3op6kAdDqNV7jA8ymmxIjYspmD5ARredxWxA9r7fFHncwUsX8qOuamMndKXsETfGROUBNDLCIcDQ/Ixik/uwHTgKLqG9Qho35LgXp3Jev/7yj1/t/jpCL6qJxm/TqLBWM/VgqsKe3kpmpC6dXdYU0IIMou2U7B6CVFXXU94z74eH2QLTm+neNFioh8ei3/LJh69tnrP6v/t+ZNx5q94ezJ7P9vPqB96E9Wo7ixtedKLny5j8IoDQEVf3yffH87uLo3kDaqKtOFB2P4pUVMXmA4co2zOAoJbxNFp4t3oImv/sufl0v65mD2L0hg7tS+hcb5Vg1RJAL2EraSIghNbMGzeiToqgqAruxAxekhl9feU+1+qTP7MahXtv3ubIMBptpCzZTENh3rP8onDoEcT6BtT5J5gM5WTvOc3bCXF1B/3CH5xCR69vhCCvIOrKV/3F7HPPYAuybN9VtW7VpI1f0dF8ifjnr/SvWmkffond3zVi7iWyg2MO3z06jx6b08BwK6WGDTrEcpkqu1YHX5xoZhzShFC+PQsmL2wGPMfCzAk59HkseuI6O7ZG0JvIIRANe8PDq7JYuzUqwiOqR3t3S6HkgDKSAiBMeU4hfs3YjmZRlCvzsQ8e/9/3oCPPTgB9T9Lvw6g5aT3K/8tqHdXSuYtxWmxeKQPbFVUxOJ7LxZ3KDq1j7TtCwnr3J2EO8ah8nDfZuFwkLVpPpaTacRNeARNhGcTH9Xfy8n6YzdtPxkl62nf8sOnSX1/Ibd93IOkDsr2BXcJMloAMOk0DJz3ODZ/7yjwXFWa0AAkjRpHSZnHXyueIGw2+Gs5eQt3ET+4M81fvBm1lxTh9iQhBI4ZC0nens/YKX0JivSO91ZXUxJAGTitVgozt1O2ajOSWkXINVcSNX40Kr//njRc+PZX+DsqNh07gSY/vv+vf1f56dDERWMpyCUgqYEnwr8k4bDjZzj/r5Yv9uStDptZT8r+hZhzTpM08h4C6jfyeAxOi4WMpdPBZifupYc82t0DgM1LKjp8yFjnD0B/Iofkt+Yx6J2uNOweI1scPsvhqDioJkk89vEoXvhiBR8/eQNOD9aUrClbqZG8FQeIHdCe4JbxWJPT0XRrL3dYLiOEwLhzP/qFSwhqHkeHr++UdTZeTsIpME+ZR+6REsb82IeAMN+tAKAkgB5kLy8j/+hG9Bv/xq9JAyLHDMGvVdOLLiXc89hd7H2uIulr+9Vr5z3xqw4LwWHwojZVQiBx/ufkSz15q0MIQXHqXtJ2LSK0fVca3ToSldbzA4y9rJT0+ZPR1U8g8s6hHi3wLIRArP+Dwg1HK9q7ydThA8CQmk/ya3MY+Gonmvbx7NJ3XdDsRA4/PjmDve3r8/SHIxBqFR8+O1DusC5b3ooDpE3eAEBYpwaY0w+AjySAlpOnMC5ahNNip9mzNxLWyXs6OHmacDgp/2YOpTlGRk3sjV+wb89+KgmgB1hys8jfvw7TnsME9uhI3EsPo42/+ExDaFkZZaGhlESEM/KZe9ndpAHWgPNvQJXUaoTD7o7Qq0XSaDAHn/+knK/05K0Oq76Y5H0LsRUXkDRCnlk/AHNOFplzJxPcvyehN13t0b1MQggcKxZQsjOVtp/I19sXwJRRSPKrs7nu+fa0vNZ7DlH5iiu3nuCjNxYiAd33pBFaYqAsvPbs9ztb7ID2lX/b9RYOPjOL+CEOJHXtmcU8l/V0DtZlf6I/mUuDcX2JubYNkhe13fM0p9VO0aezsVudjPz2Sp8o/J5zpATrmp0X/Pfa/wy9lBACY/IxCnavw3Y6h+BrryTh/edRB196APztvW/pnpyORaPmzTtuYdZ1F++oIex2JLX3/ChVfv7Yy8vO+2++0JP3cgmnk4zcLRRuWEV4zz4kDR+H5OG9fmfojx8m+4/ZRIwZQlCPjh69tnA6sf05l/IjWbT9eCTaUPlO1Jmzijk5YRb9HmtD24HeVUbJFwxesocXvlxVWebl84evrrXJH4A2LJCk4T0r/9s/MRzT3iMeL5XkCrbcAmyrl1Cy6xRJw3vQ4pXBdb67icNkJff9mfiHaLnj4ytQa2t/Ipx3opRFj2/gpbcjmPHj+T+nbv/U3cBps1KYuYPyVZtApSbk+j4E9eyEpK3at3rO+9/RI7mi36if3cGqzpfur+g0mlH5e8/xdHVQCPZTyXKH4RUM+emk7JqPSudH/Xsfwy9Gnu4oQgjyjq2nfNl6Yp4Yh19Tzy7zCKcT828zMZ8upu1HI2VtGG/OLSV5wkx6P9CSjrfW3eUud3nj3T+4bsPRyuTv0Y9GsM/HlhUTh3Yjc84qArq0rTWngW3ZedjXL6d4RwoJQ7rS5PHrZX0degtbmYmst2YQ3SSUga91RqWuHT/PiylIKeP3R9bz7GsRXDMwECg87+cpCaCL2MtKyT++Cf3G7ega1iNi1GD8Wje7rMHhvWm/ccXJNKBi4HzqntvJj7p0TTRHmR5NkPccqNCGR2ArKZI7DFnZzQZSjy9Df+wgMdfdQmjHbrK9UQiHg6yNv2E5mV5x0jfas6dchd2OceZ07OVm2rx3B+oA+TZVW/LKSHl5Bj3GNqPLHY1li8NXPfXNKq7fcBQAm0bFPd/cSWoT32sJGdm7BZm/bsPv2EasrfrJHc5FWVIysG1YSdmBTBJu7UKXRx9UEr9/WAv1pP3fDBr3iuXaZ9vVmmT+YgpPlfP7w+t54uVwBgy+eNFqJQGsASEE5sw0Cg5uxHTgGEE9OhL34kOX3N93Pi//+gejN1es1QvgmbuH8nufHpeOwemsKEkQ6j0lCXTRcVgL8hBOp0d7yHoD4XSQkf83hetXENKuE40ffQn1BfZueoLDaCBj0TQkfz/iXn4EVYBnB36nxYp+2jRUGhWt375d1qUmS0E5KRN+oevwxnQf01S2OHzZjBE9uf3PPRgC/bh57qM4qrjyUdtIKommTw7gyKvziHm5A5po+YqXn49wODDtPYJ14zos+WUkDO1G8+dvkvXmy9uYs4pJeXUWHW9ryJX3tfCJ5K8oXc/vD63j4WdDuXnopbdc+Oar082cVivlh/ZStHcTTqOJ4Kt7ETn2VlSB1Xuj773/MONXbalcMply9RUs6NuzSl/rKNWjCvCT5STphaj9/dGEhmEqySEwsu5sri89fYy0vX+gDgyi3l0P4R8v73O35GaTOW8KAV3bE377jR5Pxp0mM2UTf0QXE0qz5waikrHsh7VQT+rLv9Dptkb0HNdctjh8UaDeDIAx2J+CmFCGT3uA7IRw8IE31IsJbhFP0oie5E2cQuTTj1Z7/HclR2k56gMbyF2yD7/oYBJu7UpU35Z1+nDH+RiS80h+7Vf6jG/lMysBxRl6Fo5fy/1PhjJ4eNVWBJUE8DJY8nIoPL4Fw7Y96Jo0IOzWG/Bv16LGb6wqZ8XfAph89RW8M/a2Kn+tvaAQTUxUja7vDoENm5JvPklDfD8BNBVnc+rgYqyF+cTcMIjgVvL3yiw/epCcxXOIGHELQVd28fj1HeV6Sr6ZREjrRBo/eh2SSr7vh7VIT+qE6bQf1IBe97aQLQ5f1G/DEd76YDH6QD/S6kfyyBdjyZaxlZ+nJQzthiWvjOKvvif84QdQh3m+pJGw2zEdOIZz91+U7k8nqm9LWr1+K8HNlbJG51O6P53UdxcwYEInWt+QJHc4LlGcaWDh+LXc91goQ0dVfTuYkgBegtNipvzQPooOb8ORX0RQn27E/9/jrtlHZbGATsemTm24ZcIjDNu887KSPwB7bgGaWO9LAINbtKHor/WQeJXcobiNRV9M2omVGE4cJrLPtSSNvFe2071nCKeT3H0r0G/cTsyT9+DXxPMnXO1FJRR/OZGovi2pf3cfWZNha7GB1Am/0ObG+vR+oKVscfiicTO28sD0zUhAWLmZbd18YyblckiSRKOHriFzxlZy3/uS8HEj8W/TzO3XFQ4HlmOpSEe3U7j5OAH1o4i9vi3NX7gJdaCyv+9CCjcfJ+PrpQz5sDuNe8bKHY5LlGQa+H38Gu5+OJTbx1zeWQAlATwP4XRiTD1JcfJ2jHsO49+yCaE39iOgfSuXFcxtmn6aNW9+RW5oMD0//z8ONm3IwWqczLTnFqKNj3ZJTK4U2KwVOYvmYCkvxC/EPQmqXF1FbMYy0k6tpWz/LsK7XUnjx19G7QWnsB1mM6dXzMRRVk78q4+hDvd8dw1bdh6FX/1I4q1dSRwmb61Ha7GB1Jen02ZAEn0faiVrLD5FCL55dhadDp5GApwSPPj5WI608f3Z/vORJIn6d/YmuHUiyZ//SkibJHTX3YQ28fyHXxzlBgxbdhLUu1tlr/eqcJTrMR8+iSp5H8U7UvGLDyOqb0s6fH0X/vHeswfcW4VuXMn+iUcZ+X1v4luHyx2OSxT/k/zdNT6EO+68/PdAJQH8x5kDHcXpuzFu34cqPJSgXp1JHHaTy6f1dWYza978CgmIK9PTNCOb5PoJ1XosW04+4U06uzQ+V1BpNIR27kFGxiaatbnVLdfwdFcRm6mc9LT1lO75m9CO3Wj86ItoguXrYnE2a0EeGfOn4N+iCdHjR1e57JArWVIzKPpuGg3v7UfsDfLWR7MWGzj18nRa35BE34cuXUpJUTVqu4Nf7/mRxNyKOp9Gfy33fnMXGQ28bxXC0yK6Nabz5PvI/n0X2Z/+QGCjaNQdu+PfvuW/+gYbtuyk5LelAITeeP4TxMLhwJ5bgPXUabR5xyk7mIklt5TQDvUJ696EBvdcJWv7xNpECIF6wZ/8vTSDO6f1JaK+91TMqIniTAMLH1zDuIdCGH5X9d6HZEkAJUl6DLgbaA/MFkLcLUccwuHAlJ5Kyel9GHcfRPLTEditA7HPP4g2wT3Tw8GlZRx85t3KRmn5wUHVTv4A7Dn56Lp751R2ZK9+pH73EZYG/fALdv2+IE91FbHqi0lP30DZvp2EduhKo0eeRxsa7tZrXo7yIwfIWTqX8KE3EnzVpU+Ou4Pp0HGKp8ym2TM3EtnL/UtgF1Ox5++Xf2b+lOTPlQauPEjCP8lfTnQIt898yOcPe1wOdYCOeqN6kXh7d4r+Oknh5oPkLViCOlBHYJNY/OPDcNrDCejSFjQa9Jt2IGw2nAYTAaIAa14Z5uwSzNkl6KKCCWoeh3/LRGKua0twi3jlMMdlctodmH6cR97xUu76uR9BUb6xPH7mwMc9j4QybGz1E1q5ZgCzgHeAAYBH185sZSUYk49TlnUY86ETaGIiCejchpin7kWbGOfe/UpO57+SP6NWTfcvX6v2wwmnE3t+Iboo71sCBtCEhBLRsy+p+xfSstc9Lv/eururiLEom8xT69EfO0RYl54VM34h3nPXLRwOcnYtwbBtLzFPyLPfD8Dv5Cayp66l1eu3EtquniwxnGEtrDjw0XZgffqMV5Z9XW3xTR0ZtHw/ReGBvPzmUCX5uwCVTkN0v1ZE92uFcArMWcUYU/Mx55QiFZdhj1Mj8pNBJaHSadAE+6MNDyesQ338EsIJSIpQSrbUkMNkpeDj2QCMmdwXXaBvLHgWpelZ+NBa7n88lKGjazabKct3RAixAECSpG6A294xhBDYigsxZZxCX5SM+VgKznIDfq2aEtC+BeEjBqGJ8NAbuhCkPvByZfJn0qhp/f27NXpIR1EJquBAVDrvvauJ7HMt6T9+Tmb+NurH9pI7nEsSwklp5lGyUjZhycshokcfmjx5K+qAixfU9DS7vpzMxdORVBLxrz2OOkSeZQ3VjhWkzdtBmw9HENT48utfupK1sJyUl3+h/S0NlAMfLvTcFytonpzL+K/vAmD8V3fKHFHtIqkkAupFElDPswXY6zJrkZ7Mt2YR1zKMG1/p5BOt3QAKUsv5/aF1jH86lFtH1nzM94mUWAiBw6DHVlSAtTAfg+k0tswcrGmnkXQadE0a4Ne8EdH9eqKtnyBPceKz7pRtkkSrie/V+CFtuQVoYr1z9u8MlUZD4h3jSJ/2DaG9IwhL8s5ZGZupnNMFOynduRVVQCARPfsS0q4zKplP9Z6PMS2FrN+nE3RlN8JuvV6W32fhdOJYuZDibSdp9/lo/OPk3YRuySsjZcIvdLy1IVfepyR/LiEEn738Gz13nwLgzplb+WXMxfuSKxRyM6YXkvrabDoMaUif8S1lL8nlKvknK9q7PfpCGIOGuaavtve9u52HJEkPAg8CSDot6X9ORVisOA0mHOUGnKVlSH46NDGRaOJi0CbGEXJdb3QNk2Q5CXkhvd95hsXv/0DXz191yePZ8wq9sgTMuXTRsSSOuIeUX6fRuNcdhDfwjgbqTqeDstPHyDm9A2PKcYJbtydh2J34JzXwykFDOJ3kHVlL2YqNRN1zBwEd5Emmhd2Oac5MLDkltPt8DNpQeU9Am3NLSXl5Bl2HN/aqIs9nj1u6WrZhP6TEyLy7JxFstAJg0mn49XZ5T3UrFJdSuj+d1PcWcs3Tbekw2Hf6T+ceK+X3R9fz1Cvh3HSba5I/cEMCKEnSeuBCzRG3CCH6XO5jCiEmAZMANDGRIqh7RyQ/HarAAFQhQajDQ1H5eed+iY0vfMBXN/UnNS6aXa2b0eWr11322Pb8IgJ03nkA5FyBDRqTNPo+Ts2ZRpj9NI0aXYek8nxnCCGc6PNOkZu/l/LD+9BGRBPWqRvxQ0Z4RSmXC3EYDWSumIWz3ED8q4+hqUKPaHdwmsyUT5mK2l9Lmw9GoPbXyhLHGebsEpL/6e3rbe3dzh63glvEC5nDqbLGybn89Oh0NM6KkA83j2P8l2NxytjJRaG4lOgda9j7yQGfqvEHkH24mD+e2Mhzb0Rwwy2u3Yrk8gRQCNHf1Y95NnVQIIHdO7jzEi5z8JH/I8Ri5dNfFmIHmk750KWPby8oIrhx7bnLCajXkIYPPE32ol85eOxLGnYaTGiC+0+MOuxWyrOTyS8+hP7YIdSBgYS27UyDex9HFyXvvrWqMKankvX7LwR2a0/4I2NlKzZtLy6l5LvJhLRJpMmj18l+ItGUWUTyhJlceV9Lugyve0WI3eHmZft4+fMVlW0pFw3swMdP3yh3WArFBQkh0Pz+JxsWpTNmcl9imtWu2faLOb2/iD+f3sQr70fS/wbXT1DIVQZG88+11YBakiR/wC6EsMsRjzvseuJNQiwVyycCaPP1Gy6/hqOoBG2n2tV2SRMaRr2xD1J+cC+pa+eiCQkloXFvwhu0Q6VxzWyS027DUJhJoSUFY+pJTJlp+CckEdyiDQ3ufgRddO24OxROJ7kHV1O+ejOR424nsFMb2WKxZuZQ9O0U4m/pRNKInrIvkRtPFXDylVn0e7Q1HW9rJGssvmR7l0YIQEjwznMDWXF9e7lDUiguyGm1o//+NwpP6Rn3Sz+Co/3lDsll0nYWsPSFLbz5aSS9r3bP6pRcewBfBc5eCx0LvAm8IUs0LvbXs+8SbTACFclf269ew+KGRuGOolI0NahHZzfoKdu7ndBOPdAEee4UqSRJhLbvTEibDhU17HZv49S2eQQ2akZEWFMCo+sREB6PWhdw0UTD6XRgM5RgLivAXJpHmS0HS85pLPm56KJjCWzYhPAefUgcPs6rl3fPx15eRubSGWB3VLQejAyXLRbz4ZMUTZ5J44evIeYa+ZLQM/Qnc0l+7Veue7Y9bW+Sp/SNLwnUm0nMLuFk83jy48J49p3bOdY8ntII1+01ciVbqZG8FQeIHdAebZh3nc5XeI6t1Ej2e7MJivJj7JQ+aANqxZGGKknZmsvyV7bx/jdR9OjtvqRWrjIwb+Ajyd65lrz+OYklFYVSBdDn7WcwBLl+IBVOJw69oUadKMr2bid/VUUnjcje17gqtCqT1GpC23UitF0n7AY9xuRjlKWnkr9vD9aCPBACdXAIKj//ytlB4bDjtFhwmAw4zGY0wSFoI6PQRcXiF5dAaKfu+McnodJ5557QqtAfO0T2kjkE97+CsFuuQVLLt/dKd2Q92VM20PL/BhPWoYFscZxRfiSL5Dd/48ZXOtLqOt9o5C6npNNFzL5vCgIYMP9xzEH+bO/hXXspz5W34gBpkzcAkDS8p8zRKORgTC8k7c1faXV9Ev0fb4Ok8r5De9V1fF0Wa97ewaeTounU3b0l3nwnZfYCktNJi6w8oCL5u+qtp8m8QD/ImnKWG1AFBNQoOQjt1ONff7vTpWYbNUHBhHboSmiHrkDFvg6n2YzDUI7DbEI4HEBF0qjS+aEODEIdGCRPSR83cdqsZP+1CNO+o0Q/Mhb/5vLtaxNCINYtImPNYdp+MopAL2j1VbovndT3FnDL211p1jde7nBqvSF/7ub5r1dX7vfrvT2ZNVe3lTusS4od0P5ff7uTMtvofUp2pnLq40Vc83Q7OgypPXvgqyJowwbWvVvCVz/F0KaD+ycxlATQhYRKRYvv3+bkQ6/y+P0jSE9y35uUQ29AFVKzAUkTFOyxmb/LnW2UJAl1QADqgNq1dFtd5uxMTv8xA139BBLeeBKVG7YMVJWw2TDNmYk5u4T2X45F5wVLgcXbUzj16R/c9lEPGvXw/oM73kxyOPn22dl0OHy6Mvn7/KGra0XyB6ANC/TYzJ8y2+g9hBAEr13BvinHGPpZTxp08e4auJdLtWw9X3xexrczYmjeyjMrWEoC6ALvT/2NIdv30uaHdxEaDU0nf+D2azqNJlmThMvlydnG2kQ4neQdWkPZyo1EjBxE0BWdZY3HUa6n7Mep6KKCafvxSNR+8pZ5AYjbv569n+3jji+voF5H+WciazO13cHSYV9X1vcz+mu57+s7SW/oW2+mruLJ2UbFhTltDsxT53NibyHjfu5HeD35b0pdyTJ/HbOmljNpTgwNGntuzFUSwBp6auEKRm3ZiQRsefZden/6ikeuK8wWVAG158STJ2cbawtrUSFZy2aCSkX8q4+jiZb3RLctK5ei76YS3a8VDe7u6xX7aiK3rWbV14cZ9f2VxLUKlzucWu+BnzZVJn/7Wyfy8BdjlH6+F+HJ2UbF+dlKjOR8OBv/YC3jfumHX5D8N6WuIoSgaPpali008uPcWBKSPJuSKQlgDTy4eB1PLV5buYwys5/nKuULiw1J5zsvhLpECEF+ymZKF64g9KarCbm+j+x7GU0Hj1M8dTaNHuhP7A3e0aklaPVyNv5ygjGT+xDVqPqHnRT/88N9/bh24zEOtYjnjVeHyB2OQnFRhuQ8Tr09lzY31vO5wx5CCNK/Wc32LRZ+nBtLdKznD/spCWA1Dfh7LxMWLq9M/ub36MB3g2/w2PWFwyHr6VBF9dhKi8la8StOo4m4Fx9C66ZDQlUlhECzZzUls/6i1WtDCG0vf1mVM4Vddy3J4M6pVxGWqGy+vxghBA6jFafFBkIgaTVogv0r3yxn3DeZHZ0b8uVj14Mkccf08TJHrFBcWtz+9Sx/dy83vNiRtgPryR2OSzkdgiMfrCLlhI1Jc2IJDZNnAkBJAKuhz/7DTJw0mzP3Ios7t+XZ8WM8G4QQ4EMnYH2dEIKCU1spmb+ckOv7EDqwn+wJvLA7sP45l4IDGbT/Ygz+CeGyxgMgnAL7LwtI3lnA2J+uIjiq9mxzcCd7uRljegGm9CJiipMpOW2gNMtIeZ4ZY7EFtVaFNkCDpAK7xYnd7KBxnB/bcy1E2Jw0yihi5h09KIgLk/upKBQXJRxOpPl/sHZpJqO+701863C5Q3Ipu9XBrtdXoS9z8t3MGAKD5HsfVxLAavh+4uzKmb+/mzXgscfu8nwQkgROp+evq7hstuIislbNwWkwEvv8A+jqJcgdEg69Af20n5B0Gtp/MRZNkHvrTVWFcDjRfzeH4gwDYyb3ISC09tZyrC7hcGLKLMJwMpeo3OPkHS8l70QZVqOdqEYhRDcJxq9hCC2vTSI8KZCQuACCIv1Qa//9JtJhXgp3vLMPlagYpw76qciwOag9x8YUdZFdb6bw8znYTA7untGfoCj5xyVXshrtbHphJYGBKr6YGoPOT94lbSUBrIb2n71KyiOvcTQpjhEvPypLDJJaXVkbT+GdhNNJ/smNlP6xmpABVxE64CrZZ/2g4rBH8fdTibyyOQ3v6yd7T18Ah8VG0aezcdgEI7/vjS7Q94cmp9WO8VQ++hO5hJ0+Tu7RUvJPlhEc609cyzD8WobTdUQTYluEEZpw8a44lYTg3gc202RHQeVN6vp7m/NhfCDHX/iFFh/fRUBS7WofqagbDKn5pL87l6a947j22fb/uamp7UylVlY/uYrGzbS88kEEGo38+xl9f5R1kZjCIla8+TVdvnwN/PxoMuVDWeOR/HUIs1XWGBQXZsnLIWvFr0gqFXEvP4I23jtq1xn3HqZk+m80erA/sdd7x2EPu8FC9jszCIkJYOgnXX1u4IeKpe3S/ekYkvMIyTxB7rFSitINRDYIIq5VONGtwml7c/2KxK+apxwlh+CVfksIKLcBYPVT8f2MfuS1CKcr/+w7+nI+9T+8T/ZezgrF2WL3rmPF+/u47tn2tB8kf8chVyvPM7H00dX06hfAU6+Eec3rT0kAqyCsrIwdL3yIBOx77HU6fvuW3CGhCgzAaTTJHYbiHE6bldy9K9Fv+Juw224g+Koesp/whYo9iGxaTNmSvbR+ayghrRPlDgkAa7GBjNdmUK9TFDe81MFrT/llHy4m8ujean+9KSWPkukriGsVTlynKLqNakpMs1A0fq6bEY5ML6c01h+EIL9xMJN+7oc4a3a328gm7PktlbJ96YR18q0OCoraSTicOGb9zro1WT653w+gKE3Pn4+u5bbRwdz9cIjXJH+gJICXFGgwsO/pdysPfDi84M0cQB0SjKNML3cYirMYko+Rs2Ie2voJxL/xFJqIULlDAsBptmCcPQNrQTkdvr4TXZR3lFQxZxWT+n+zaHdLffqMb+VVA+PZsg8Vs+iJjUx4r/pLp3Gtwhn3S3/XBXWWnrOT2XF7Iwobh/L1guvQlVuxhvx3/6Skkmg/uAGlu7aDkgAqZGYt0pP3yVw0fmrumd2fwHDf2u8HkHOkhD+e2MD4Z8IYOuq/LVDlpiSAF6G1WDn8xFuVyV9xgD9dvn5DzpAqqcNDcZSVI5xOr5hhqsvs5WVkb1qIJSWdyNFDCOjYWu6QKtlyCyidNI3glgm0eOkWVDrveMnrT+aS8voc+jzYii7D5et5fCmn9xfx59ObePWDSPpdHwAUVu+B3JDbakx2nhi2hqhMI93nn+KbedcCnDf5O6NB12iWv7OXpq4PR6GosrKDmaR9sICOtzWiz/hWqNTeefNXE6e257Pspa1MeDeCawZ6Zykr73g38EKS3c6JR/6vctw2q1V0+uZNWWM6m6TVoA4Jwl5agjYiUu5w6iThcJB3fANlS9YSfFVPIu8ehsrPe06umg4cpeSnOdQb25v4QZ28ZoatdE8aqR8sZMArnWh9fZLc4VxQ5t5C/nxmM69/HEnfa73r/GzTLTmMe3wbaocAIKDUWlEa6hI/4+gmIRSl6WkihNf8PijqDiEEgSuWsfenEwx6uwtN+8TLHZJbRPy1ke9fKeb9b6LofqX3lrJSEsALOPHwWcmfSkXLSe/LGs/5aOJjsRTkKgmgDIypJ8hZtQB1eChxLz2MNiFW7pAqCacTNi+hdPFeWr52K6HtvKeIauzedez9YB+3fdyDht2942DM+aTvLmDJc1t467NIruzvXcnf7a/spPPijMpTvntuqc/8d7tV6Wv9grUIwGm2oQ7wnpsVhe+z682UfP0bp/LM3DOzv+8WeF+yng+/KOWb6TG0aufdrzElAbyAVR1a0SQ3n4SiUjp897bc4ZyXrn4CelMGwXjPkqOvs5UUkbN5EZbUTCKG30xA13ZeNZPiNJowzJqBvdREh2+8Z78fVLR2W/PTcUZN7ENcS+8tSHzq73yWvbyVd7+KomcfL7p7F4J7799M050FADjUEtO+vZLUXpd386EL1OAwWZUEUOEx+uM5pH8wn6Z94rj1o+5odPKXw3I1IQRFP69l8XwDk+fFUb+h96dX3h+hJzmdLHj3W25/+WEefnyc3NFckq5xfYx/74UOckfi+5wWC7kHVqFft42Qa68k8r4RqLysF7M1M5uSiT8R3q0xLV8dgkrrHYOscArEr7+za302d/50FeFJQXKHdEEpW3JZ/uo2Pvo+iq5XeFHyB6hsThrurdiDaAlQ8976m7D7X/4QrlJLiH+WjhUKdxJCELJ+JXt/OMKACZ1ofYP3bvmoCadDcOLTVRzca2XagjiiYrxj7L0UJQE8y8nxE9A6BYcef4M2378jdziX5Ne8McUzflcOgriRcDopyNhG6cKV+LVsQvwbT6KJDJc7rP/QHdtI1sS1NH7oGmKubSt3OJWcNgfl386l5LSBu36+yqtP+p3YkM3qN7fz6aRoOnX3ojgdDlCrcerUTJnYmxu/PsSPU65CaKr3mhdCICnDhcLN7Hozpd/NIyXTwF3T+xHZwPtOwbqCzexgx2urMOqd/Dg3lqDg2vPiUhLAfxx/sCL5Awiw2mSOpmo0EaGow0Iwn04noH4jucPxOYaTx8hd/wcqfz+iH70TvybeV6BU2GxYF88jb08abT8aSVBj79lXZzdYyPtgFrpADaMn9kYb4L3DTfjWjax5q5gvpkbTrpN3JH+Sw8n4OzeQeLSUd9cNxBLmR3q3GCb93L9Gj+uwOpG03vuzUNR+5UeyyPhoAU37xjPk/W4+ueQLFd091j27irgEDR98E4NW5z3bgapCGQWAQw+/it8/bdWcQJMfvH/274yATm0oPr1PSQBdyJyVQe7mP7EXlhB++0ACurT1qn1+Z9jziyid8hN+cWF0+OYur+jne4Ylv5z0N2bSoEs017/YwavLPASs28CH75bwzfQYWrb1jn1x8UeKeWjcRrSWin7fd7yyixnfXOmSx7aZHaj8lKFf4XrCKfBfvpS9P59g4P91puW13lFw3h1Ks40sfWwNV/b356lXwlF5aRH7i6nzo8C+x14n+J8ZPwE0//5thNa79nZdTGCPjuR/NQ3RY5CyDFxD1oI8crctwXLiFKGDriW4bw8kjXfeuRr3Hqb0l99IGnkFCbd19aoE1ZCaT+rrv9J1ZBOuuLu5V8V2LtWy9Xz9RRnfz4qlaQvveN3f8NlBrvr5ROUp35NXxDDj614ueWyHzYnTIbymHqTCd1iL9BR+MQ+b2c49s6723VO+QN7xUv58YgOj7wth7APec9DuctXpUWD9ix8SbjIDFQNtx08nYNd5xwxAVenqJ6AOCcZw8ijBLdrIHU6tZC0uJG/nCkz7jhByQ18i7x3uVfX8zibsDhyrFlK28Rit3riNkDbetam6ZPcpTn34O9e/2JG2A72n/Mz5WBeuY8aP5Uz8NYYGjeVP/jRmO48PW0t0hgEApwTz3urCvsGu69phMdjwC9R4dVKuqH2KtyeT/sViOg1tRN/xrVBVc39qbXCmSsALb0Zww6DaneTW6QQwNzyEMKOJMKOJTp+/Sllo7czkg6/rTcHW9UoCeJlsJUXk7l6JaddBgq++gsT3n0cV6F01385mLyim7KfpaEP96fjdOLSh3hVr5LbV7P3iEEM/7UmDrtFyh3NRpTPXsmiOgclzY0mo5x3D4Ngnt1Umf+WROr6cfx2mSNcu61v1dnTB3vF8FbWf02rHPvN3Tq/P5tYPe9Cwm3e/7msqYN0Glr9TwgffRtGtl3dVCagOnxwJnBYrttM52E7nEmDJxJpfjq3MhLDakTRquqic7GnWidsfHIUmLKSier7aO5f6qiKoR0dKf1+FMS2FwIZN5A7H61mLCsjbswrT7kME9+tJwnvPoQ723tIkAMbdhyidOY/EYd1JHNYDyYv2mwghUM3/g81LMhg7tS/Rjb33RkoIQe6Pa1i/0sTk32KJifOe1/2ML69gwtVLOdw/gXnvd3fLNSwGO35B8s92Kmo/Q0oeWZ8sIKpJCPfNvYaAUO9cNXEFIQTls9cxdYaeH2Z7z3aRmqr1CaAQAnt2HpaTaWhyjlN+NBtLTgkB9SMJbBiNKimCsE4N0IQGoNJpWP7+n9QrNSG2p/HLr4t44fr26AYNQxXgPW8El0vSaAi79Xpy1y2i0dgnlb2AgN2gp2zvdkI79UATVFF+wJKbTd6e1ZgPHiO4/xW1IvETNhu2ZQso35ZMqzeHEtLauzZVO612yr/7jeIMPeN+6U9QlPccRDmXcApSvlzN3h0WJs2JJSJK3td8QKmFR4evY8lz7ThyfT3s/hre+muwW69pNdjwU2YAvZat1EjeigPEDmiPNsw7lxeFUxC4ahl7ph7n2qfb0X5wA5/eUuC0Oznx+WoO7LYybUEssfG+8/qpdc9EANaMbCzHUpAyjlJ2IBO1v4aQtvUIapNE/ODOBDaKOW8R3G+fmkH9UlPl///++Vik5fsp+uxbIp9+xKuX/y4l6IrO6Nf9RcGprcQ06SN3OLIr27ud/FWLEQIC6jUkf89arKcyCbm2N5FjhtSKn7UtJ5+yqdPxSwin43fj0IR415KDrcxEznuzCIz0Y8zkvmj9vfcmyml3cuiDVaSn2Jk4O5aQMHlvktovTWf4hF2oBIx6YSdvbE/A6YHC3VajHV1grRv264y8FQdIm7wBgKThPWWO5r8seWUUfDUfh9XB3TP6E1HPu2+ga8pqtPP3q6uw2eDHubEEh/jW5EqtGwlsGVmUTPqJ0I4NCLuyOY0fuga/2NBLft3XT8+k0+EsoCKJvOeL0eS1TqRJqwRSvl6FecEcAsfe7d7g3UhSqYgcN4y8jycRdk9LdFHeUw9ODqEdumHOzqL0+C5KDmwj5Ia+xDw8BqkWnPAWQqA7vJ6sKRtoMK4PcTd38ro7bFNmEafemE3LaxK5+sm2XrUkfS671cGu11ehL3fy7YwYAgJlHMSFYNwjW2m+Na/ylO/WMU08kvwBWE0Or67HWNfFDmj/r7+9hRCCmJ1rWf3JAbqPbUave1p4dWknV9AXmFn11Gqat9Ix4f0ItFrfe761biQIbBhNp4n3XNbXfPLSHLocOg1UDLgvvTKIE20qTihKkkSjB69mz70/okk7ja6hd52qvBy6evGEDb6OzN9/otGdT6DSee9ynLvYDXoKkregX7cNTUwkYYOvJ6Bj61qzLO40mjDNm01hWiHtPh5FYCPv21Rdui+d1PcX0v/xNnQa2kjucC7KZrKz+cVV+PtLfDElBp2ffIN42GkDjw9fS4DeXhGbTsXEn/qS3TbSYzHYzQ40ft47U1vXacMCvW7mz1ZipGzSAk6kljPy+97Etw6XOyS3yz9ZxuIn1zNkeBD3PxHqdTfgrlLrEkDpMo+Xtz6QzhW704B/kr8Jg9ncr9W/PkftryV+cBcsO9ZDwzEuilQewdf0wpqWScaS6TQYfC9SLT7ccjlMGacoOLwZ074jBHZuS8wTd6Nr4F375S7FfDyV0p9mEXFFM5o9dxNqP++brYz4azV7vzjIkA+707hnrNzhXJS5zMqap1dRr6GG1z6KRKORbxBX2Z08f/NKJFExDmW1CuP7mf2r3c6tuuxWBxq/2nEzpJBf4ZYTZH67lHY312fIe93qxM1D6t95LH/5L555NZybhvr2ErckRO1qCi5JUj6QJnccLhANFMgdhAcoz9O31PXn2VAIcdn7K5Rxq9ZRnqdvqevP87zjVq1LAH2FJEk7hRDd5I7D3ZTn6VuU51m31ZXvi/I8fYvyPM9PWQtQKBQKhUKhqGOUBFChUCgUCoWijlESQPlMkjsAD1Gep29RnmfdVle+L8rz9C3K8zwPZQ+gQqFQKBQKRR2jzAAqFAqFQqFQ1DFKAqhQKBQKhUJRxygJoEKhUCgUCkUdoySAMpIkyU+SpCmSJKVJklQuSdIeSZIGyh2XO0iS9JgkSTslSbJIkvST3PG4iiRJkZIkLZQkyfDPz3G03DG5g6/+/M5Wl16PNVGXvk+++nuvjFu+oyavx1rXCs7HaIAMoB+QDtwEzJUkqb0Q4pScgblBFvAOMAAIkDkWV/oWsAJxQCdgiSRJ+4QQh2SNyvV89ed3trr0eqyJuvR98tXfe2Xc8h3Vfj0qp4C9jCRJ+4E3hRDz5Y7FHSRJegeoJ4S4W+5YakqSpCCgGGgnhDj+z8d+AU4LIV6SNTg38aWfX1X4+uvRVXz9++RLv/fKuOX7qvp6VJaAvYgkSXFAC8DX7sJ8VQvAcWYQ/cc+oK1M8ShcSHk9Vo3yfap1lHHLh13O61FJAL2EJElaYCbwsxDiqNzxKKokGCg952OlQIgMsShcSHk9Vo3yfaqVlHHLR13u61FJAN1IkqT1kiSJC/zZfNbnqYBfqNiT8ZhsAVdTVZ+nD9IDoed8LBQolyEWhYvU9tdjTSnjljJuKWqf6rwelUMgbiSE6H+pz5EkSQKmULEZ9yYhhM3dcblaVZ6njzoOaCRJai6EOPHPxzqiLIXVWr7weqwpZdzyecq45WOq+3pUZgDl9z3QGhgkhDDJHYy7SJKkkSTJH1ADakmS/CVJqtU3IEIIA7AAeEuSpCBJknoDQ6i4C/Mpvvjzu4A68Xp0gTrxffLF33tl3KrdP78LqN7rUQih/JHpD9AQEICZimn5M3/GyB2bG57rG/8817P/vCF3XC54XpHA74CBiiP4o+WOSfn5Vfs51pnXo/J9qvJz9cnfe2Xckj82Fz7Har8elTIwCoVCoVAoFHWMsgSsUCgUCoVCUccoCaBCoVAoFApFHaMkgAqFQqFQKBR1jJIAKhQKhUKhUNQxSgKoUCgUCoVCUccoCaBCoVAoFApFHaMkgAqFQqFQKBR1jJIAKhQKhUKhUNQxSgKo8EmSJN0hSZJFkqSGZ33sS0mSkiVJipMzNoVCoTgfZdxSeJLSCUThk/5pjr0D2COEeECSpOeAF4De4n8N0BUKhcJrKOOWwpN8sSmyQoEQQkiSNAFYIklSMvAKcM2ZQVSSpD+AvsAaIcQwGUNVKBQKQBm3FJ6lzAAqfJokSVuBHsAgIcSysz5+NRAMjFMGUoVC4U2UcUvhCcoeQIXPkiTpGqAjIAG5Z/+bEGIdUC5HXAqFQnEhyril8BQlAVT4JEmSOgILgMeB34H3ZQ1IoVAoLkEZtxSepOwBVPicf07QLQU+E0JMlSRpO7BfkqT+Qoj18kanUCgU/6WMWwpPU2YAFT5FkqRIYDmwWAjxFoAQ4iDwG8rdtEKh8ELKuKWQgzIDqPApQogioPV5Pj5ChnAUCoXikpRxSyEH5RSwok6SJGk1FRutg4Ai4A4hxF/yRqVQKBQXpoxbCldSEkCFQqFQKBSKOkbZA6hQKBQKhUJRxygJoEKhUCgUCkUdoySACoVCoVAoFHWMkgAqFAqFQqFQ1DFKAqhQKBQKhUJRxygJoEKhUCgUCkUdoySACoVCoVAoFHWMkgAqFAqFQqFQ1DH/D15+c2cZJ0xHAAAAAElFTkSuQmCC\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(9, 4))\n", "\n", "plt.subplot(121)\n", "plot_gaussian_mixture(bgm_low, X[:nn])\n", "plt.title(\"weight_concentration_prior = 0.01\", fontsize=14)\n", "\n", "plt.subplot(122)\n", "plot_gaussian_mixture(bgm_high, X[:nn], show_ylabels=False)\n", "plt.title(\"weight_concentration_prior = 10000\", fontsize=14)\n", "\n", "save_fig(\"mixture_concentration_prior_plot\")\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Note: the fact that you see only 3 regions in the right plot although there are 4 centroids is not a bug. The weight of the top-right cluster is much larger than the weight of the lower-right cluster, so the probability that any given point in this region belongs to the top right cluster is greater than the probability that it belongs to the lower-right cluster." ] }, { "cell_type": "code", "execution_count": 181, "metadata": {}, "outputs": [], "source": [ "X_moons, y_moons = make_moons(n_samples=1000, noise=0.05, random_state=42)" ] }, { "cell_type": "code", "execution_count": 182, "metadata": { "scrolled": true }, "outputs": [ { "data": { "text/plain": [ "BayesianGaussianMixture(n_components=10, n_init=10, random_state=42)" ] }, "execution_count": 182, "metadata": {}, "output_type": "execute_result" } ], "source": [ "bgm = BayesianGaussianMixture(n_components=10, n_init=10, random_state=42)\n", "bgm.fit(X_moons)" ] }, { "cell_type": "code", "execution_count": 183, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Saving figure moons_vs_bgm_plot\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(9, 3.2))\n", "\n", "plt.subplot(121)\n", "plot_data(X_moons)\n", "plt.xlabel(\"$x_1$\", fontsize=14)\n", "plt.ylabel(\"$x_2$\", fontsize=14, rotation=0)\n", "\n", "plt.subplot(122)\n", "plot_gaussian_mixture(bgm, X_moons, show_ylabels=False)\n", "\n", "save_fig(\"moons_vs_bgm_plot\")\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Oops, not great... instead of detecting 2 moon-shaped clusters, the algorithm detected 8 ellipsoidal clusters. However, the density plot does not look too bad, so it might be usable for anomaly detection." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**Likelihood Function**" ] }, { "cell_type": "code", "execution_count": 184, "metadata": {}, "outputs": [], "source": [ "from scipy.stats import norm" ] }, { "cell_type": "code", "execution_count": 185, "metadata": {}, "outputs": [], "source": [ "xx = np.linspace(-6, 4, 101)\n", "ss = np.linspace(1, 2, 101)\n", "XX, SS = np.meshgrid(xx, ss)\n", "ZZ = 2 * norm.pdf(XX - 1.0, 0, SS) + norm.pdf(XX + 4.0, 0, SS)\n", "ZZ = ZZ / ZZ.sum(axis=1)[:,np.newaxis] / (xx[1] - xx[0])" ] }, { "cell_type": "code", "execution_count": 186, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Saving figure likelihood_function_plot\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "from matplotlib.patches import Polygon\n", "\n", "plt.figure(figsize=(8, 4.5))\n", "\n", "x_idx = 85\n", "s_idx = 30\n", "\n", "plt.subplot(221)\n", "plt.contourf(XX, SS, ZZ, cmap=\"GnBu\")\n", "plt.plot([-6, 4], [ss[s_idx], ss[s_idx]], \"k-\", linewidth=2)\n", "plt.plot([xx[x_idx], xx[x_idx]], [1, 2], \"b-\", linewidth=2)\n", "plt.xlabel(r\"$x$\")\n", "plt.ylabel(r\"$\\theta$\", fontsize=14, rotation=0)\n", "plt.title(r\"Model $f(x; \\theta)$\", fontsize=14)\n", "\n", "plt.subplot(222)\n", "plt.plot(ss, ZZ[:, x_idx], \"b-\")\n", "max_idx = np.argmax(ZZ[:, x_idx])\n", "max_val = np.max(ZZ[:, x_idx])\n", "plt.plot(ss[max_idx], max_val, \"r.\")\n", "plt.plot([ss[max_idx], ss[max_idx]], [0, max_val], \"r:\")\n", "plt.plot([0, ss[max_idx]], [max_val, max_val], \"r:\")\n", "plt.text(1.01, max_val + 0.005, r\"$\\hat{L}$\", fontsize=14)\n", "plt.text(ss[max_idx]+ 0.01, 0.055, r\"$\\hat{\\theta}$\", fontsize=14)\n", "plt.text(ss[max_idx]+ 0.01, max_val - 0.012, r\"$Max$\", fontsize=12)\n", "plt.axis([1, 2, 0.05, 0.15])\n", "plt.xlabel(r\"$\\theta$\", fontsize=14)\n", "plt.grid(True)\n", "plt.text(1.99, 0.135, r\"$=f(x=2.5; \\theta)$\", fontsize=14, ha=\"right\")\n", "plt.title(r\"Likelihood function $\\mathcal{L}(\\theta|x=2.5)$\", fontsize=14)\n", "\n", "plt.subplot(223)\n", "plt.plot(xx, ZZ[s_idx], \"k-\")\n", "plt.axis([-6, 4, 0, 0.25])\n", "plt.xlabel(r\"$x$\", fontsize=14)\n", "plt.grid(True)\n", "plt.title(r\"PDF $f(x; \\theta=1.3)$\", fontsize=14)\n", "verts = [(xx[41], 0)] + list(zip(xx[41:81], ZZ[s_idx, 41:81])) + [(xx[80], 0)]\n", "poly = Polygon(verts, facecolor='0.9', edgecolor='0.5')\n", "plt.gca().add_patch(poly)\n", "\n", "plt.subplot(224)\n", "plt.plot(ss, np.log(ZZ[:, x_idx]), \"b-\")\n", "max_idx = np.argmax(np.log(ZZ[:, x_idx]))\n", "max_val = np.max(np.log(ZZ[:, x_idx]))\n", "plt.plot(ss[max_idx], max_val, \"r.\")\n", "plt.plot([ss[max_idx], ss[max_idx]], [-5, max_val], \"r:\")\n", "plt.plot([0, ss[max_idx]], [max_val, max_val], \"r:\")\n", "plt.axis([1, 2, -2.4, -2])\n", "plt.xlabel(r\"$\\theta$\", fontsize=14)\n", "plt.text(ss[max_idx]+ 0.01, max_val - 0.05, r\"$Max$\", fontsize=12)\n", "plt.text(ss[max_idx]+ 0.01, -2.39, r\"$\\hat{\\theta}$\", fontsize=14)\n", "plt.text(1.01, max_val + 0.02, r\"$\\log \\, \\hat{L}$\", fontsize=14)\n", "plt.grid(True)\n", "plt.title(r\"$\\log \\, \\mathcal{L}(\\theta|x=2.5)$\", fontsize=14)\n", "\n", "save_fig(\"likelihood_function_plot\")\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Exercise solutions" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 1. to 9." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "See Appendix A." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 10. Cluster the Olivetti Faces Dataset" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "*Exercise: The classic Olivetti faces dataset contains 400 grayscale 64 × 64–pixel images of faces. Each image is flattened to a 1D vector of size 4,096. 40 different people were photographed (10 times each), and the usual task is to train a model that can predict which person is represented in each picture. Load the dataset using the `sklearn.datasets.fetch_olivetti_faces()` function.*" ] }, { "cell_type": "code", "execution_count": 187, "metadata": {}, "outputs": [], "source": [ "from sklearn.datasets import fetch_olivetti_faces\n", "\n", "olivetti = fetch_olivetti_faces()" ] }, { "cell_type": "code", "execution_count": 188, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ ".. _olivetti_faces_dataset:\n", "\n", "The Olivetti faces dataset\n", "--------------------------\n", "\n", "`This dataset contains a set of face images`_ taken between April 1992 and \n", "April 1994 at AT&T Laboratories Cambridge. The\n", ":func:`sklearn.datasets.fetch_olivetti_faces` function is the data\n", "fetching / caching function that downloads the data\n", "archive from AT&T.\n", "\n", ".. _This dataset contains a set of face images: http://www.cl.cam.ac.uk/research/dtg/attarchive/facedatabase.html\n", "\n", "As described on the original website:\n", "\n", " There are ten different images of each of 40 distinct subjects. For some\n", " subjects, the images were taken at different times, varying the lighting,\n", " facial expressions (open / closed eyes, smiling / not smiling) and facial\n", " details (glasses / no glasses). All the images were taken against a dark\n", " homogeneous background with the subjects in an upright, frontal position \n", " (with tolerance for some side movement).\n", "\n", "**Data Set Characteristics:**\n", "\n", " ================= =====================\n", " Classes 40\n", " Samples total 400\n", " Dimensionality 4096\n", " Features real, between 0 and 1\n", " ================= =====================\n", "\n", "The image is quantized to 256 grey levels and stored as unsigned 8-bit \n", "integers; the loader will convert these to floating point values on the \n", "interval [0, 1], which are easier to work with for many algorithms.\n", "\n", "The \"target\" for this database is an integer from 0 to 39 indicating the\n", "identity of the person pictured; however, with only 10 examples per class, this\n", "relatively small dataset is more interesting from an unsupervised or\n", "semi-supervised perspective.\n", "\n", "The original dataset consisted of 92 x 112, while the version available here\n", "consists of 64x64 images.\n", "\n", "When using these images, please give credit to AT&T Laboratories Cambridge.\n", "\n" ] } ], "source": [ "print(olivetti.DESCR)" ] }, { "cell_type": "code", "execution_count": 189, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1,\n", " 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3,\n", " 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5,\n", " 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6,\n", " 6, 6, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8,\n", " 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 10, 10,\n", " 10, 10, 10, 10, 10, 10, 10, 10, 11, 11, 11, 11, 11, 11, 11, 11, 11,\n", " 11, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 13, 13, 13, 13, 13, 13,\n", " 13, 13, 13, 13, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 15, 15, 15,\n", " 15, 15, 15, 15, 15, 15, 15, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16,\n", " 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 18, 18, 18, 18, 18, 18, 18,\n", " 18, 18, 18, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 20, 20, 20, 20,\n", " 20, 20, 20, 20, 20, 20, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 22,\n", " 22, 22, 22, 22, 22, 22, 22, 22, 22, 23, 23, 23, 23, 23, 23, 23, 23,\n", " 23, 23, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 25, 25, 25, 25, 25,\n", " 25, 25, 25, 25, 25, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 27, 27,\n", " 27, 27, 27, 27, 27, 27, 27, 27, 28, 28, 28, 28, 28, 28, 28, 28, 28,\n", " 28, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 30, 30, 30, 30, 30, 30,\n", " 30, 30, 30, 30, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 32, 32, 32,\n", " 32, 32, 32, 32, 32, 32, 32, 33, 33, 33, 33, 33, 33, 33, 33, 33, 33,\n", " 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 35, 35, 35, 35, 35, 35, 35,\n", " 35, 35, 35, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 37, 37, 37, 37,\n", " 37, 37, 37, 37, 37, 37, 38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 39,\n", " 39, 39, 39, 39, 39, 39, 39, 39, 39])" ] }, "execution_count": 189, "metadata": {}, "output_type": "execute_result" } ], "source": [ "olivetti.target" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "*Exercise: Then split it into a training set, a validation set, and a test set (note that the dataset is already scaled between 0 and 1). Since the dataset is quite small, you probably want to use stratified sampling to ensure that there are the same number of images per person in each set.*" ] }, { "cell_type": "code", "execution_count": 190, "metadata": {}, "outputs": [], "source": [ "from sklearn.model_selection import StratifiedShuffleSplit\n", "\n", "strat_split = StratifiedShuffleSplit(n_splits=1, test_size=40, random_state=42)\n", "train_valid_idx, test_idx = next(strat_split.split(olivetti.data, olivetti.target))\n", "X_train_valid = olivetti.data[train_valid_idx]\n", "y_train_valid = olivetti.target[train_valid_idx]\n", "X_test = olivetti.data[test_idx]\n", "y_test = olivetti.target[test_idx]\n", "\n", "strat_split = StratifiedShuffleSplit(n_splits=1, test_size=80, random_state=43)\n", "train_idx, valid_idx = next(strat_split.split(X_train_valid, y_train_valid))\n", "X_train = X_train_valid[train_idx]\n", "y_train = y_train_valid[train_idx]\n", "X_valid = X_train_valid[valid_idx]\n", "y_valid = y_train_valid[valid_idx]" ] }, { "cell_type": "code", "execution_count": 191, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "(280, 4096) (280,)\n", "(80, 4096) (80,)\n", "(40, 4096) (40,)\n" ] } ], "source": [ "print(X_train.shape, y_train.shape)\n", "print(X_valid.shape, y_valid.shape)\n", "print(X_test.shape, y_test.shape)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "To speed things up, we'll reduce the data's dimensionality using PCA:" ] }, { "cell_type": "code", "execution_count": 192, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "199" ] }, "execution_count": 192, "metadata": {}, "output_type": "execute_result" } ], "source": [ "from sklearn.decomposition import PCA\n", "\n", "pca = PCA(0.99)\n", "X_train_pca = pca.fit_transform(X_train)\n", "X_valid_pca = pca.transform(X_valid)\n", "X_test_pca = pca.transform(X_test)\n", "\n", "pca.n_components_" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "*Exercise: Next, cluster the images using K-Means, and ensure that you have a good number of clusters (using one of the techniques discussed in this chapter).*" ] }, { "cell_type": "code", "execution_count": 193, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "k=5\n", "k=10\n", "k=15\n", "k=20\n", "k=25\n", "k=30\n", "k=35\n", "k=40\n", "k=45\n", "k=50\n", "k=55\n", "k=60\n", "k=65\n", "k=70\n", "k=75\n", "k=80\n", "k=85\n", "k=90\n", "k=95\n", "k=100\n", "k=105\n", "k=110\n", "k=115\n", "k=120\n", "k=125\n", "k=130\n", "k=135\n", "k=140\n", "k=145\n" ] } ], "source": [ "from sklearn.cluster import KMeans\n", "\n", "k_range = range(5, 150, 5)\n", "kmeans_per_k = []\n", "for k in k_range:\n", " print(\"k={}\".format(k))\n", " kmeans = KMeans(n_clusters=k, random_state=42).fit(X_train_pca)\n", " kmeans_per_k.append(kmeans)" ] }, { "cell_type": "code", "execution_count": 194, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "from sklearn.metrics import silhouette_score\n", "\n", "silhouette_scores = [silhouette_score(X_train_pca, model.labels_)\n", " for model in kmeans_per_k]\n", "best_index = np.argmax(silhouette_scores)\n", "best_k = k_range[best_index]\n", "best_score = silhouette_scores[best_index]\n", "\n", "plt.figure(figsize=(8, 3))\n", "plt.plot(k_range, silhouette_scores, \"bo-\")\n", "plt.xlabel(\"$k$\", fontsize=14)\n", "plt.ylabel(\"Silhouette score\", fontsize=14)\n", "plt.plot(best_k, best_score, \"rs\")\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 195, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "120" ] }, "execution_count": 195, "metadata": {}, "output_type": "execute_result" } ], "source": [ "best_k" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "It looks like the best number of clusters is quite high, at 120. You might have expected it to be 40, since there are 40 different people on the pictures. However, the same person may look quite different on different pictures (e.g., with or without glasses, or simply shifted left or right)." ] }, { "cell_type": "code", "execution_count": 196, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "inertias = [model.inertia_ for model in kmeans_per_k]\n", "best_inertia = inertias[best_index]\n", "\n", "plt.figure(figsize=(8, 3.5))\n", "plt.plot(k_range, inertias, \"bo-\")\n", "plt.xlabel(\"$k$\", fontsize=14)\n", "plt.ylabel(\"Inertia\", fontsize=14)\n", "plt.plot(best_k, best_inertia, \"rs\")\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The optimal number of clusters is not clear on this inertia diagram, as there is no obvious elbow, so let's stick with k=120." ] }, { "cell_type": "code", "execution_count": 197, "metadata": {}, "outputs": [], "source": [ "best_model = kmeans_per_k[best_index]" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "*Exercise: Visualize the clusters: do you see similar faces in each cluster?*" ] }, { "cell_type": "code", "execution_count": 198, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Cluster 0\n" ] }, { "data": { "image/png": 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Oh9u+alyrxNBdm5ub2tnZsWyS8Amve3BwoL29PWMzNjY2VK/XTTnY6EajoeFwqHK5rK2tLYMB3oP6kqV0gSsXi4XBFekiNMXjcY1GI+NgeZ/3KFtbW2sJV7owup2dHXs2XPBwONTR0ZEWi4VBouPjY+3s7CiXy+nx48eSLjhYPEur1dLe3p6eP3+ut956S5ubm5JkVBFCoeJFaE8kEur3+/r5z3+uDz/8UP1+X9VqVb/97W+VSqV07949S4aazaYqlYop3TqDaAWGr9VqCsNQw+FQh4eHNs/z83M9ffpU7XZb9+/f13w+13vvvWd7XiqVTLmIwrAyvoKLBwVuktAlk0l1Oh19+eWXms1mBjHm87kVwIgwlUpF7XZbtVpN2Wz2ynVdq8TJZNIWXK1Wl4Q6nU7NWxHqCC/ValU7OzuGp4AgZOhhGKpQKCiZTKrb7SqbzaparVpY6ff7ZpGVSkX1el2TyUT7+/tKJpN69OiRCoWChSdJVvUi9IZhqJ2dnbWEG4ahMpmMKTFcLkYZBIF2d3e1vb1txZR2u61SqaTHjx+rWCzq97//vRqNhrLZrF577TWNRiPNZjONx2Nls1kzfgS5u7ureDyu4XCoxWJhjMfm5qY++ugjW/vu7q46nY4ODw/t70mcd3d39fnnnxs+vWkQVbe3t7W5ualSqaTpdKp2u20JGfAliiL7/rvvvqvXX39dURRZvlIoFPTw4UNJF5AOObCXKOuDBw90cHBgiSRye/z4sTqdjuLxuJ48eaIHDx5Y0kjuFYvFLAKMRiMzsldSYrASQBzulzCN0oARj46OlM1m9frrrxvN5cn1fD6v+/fvWykWz1mtVk2Y8Xhc7XbbyqFsyE9+8hNtbW0pkUjYM4E78NQUSeBT14UT4D64UCjCTCajXq+nRCJhwn/48KG2trbU7Xb1ve99T9vb2+r3+zYnBLC7u6t0Om1RiMQRxqFcLhukogfi3r17+ou/+At9/vnnqtfrevPNNy1RHI/HVjRh/+r1uuHUdQbsS7Va1cbGhvL5/B+UtiuVimq1mpLJpDY3N5VMJvXTn/5UGxsbS9VMImosFlOxWFwqx+dyOcPb0+lU9XpdlUrFGrOy2azef/99lctlBUGg7e1tK5AB5fDswCie88pKzIbh4iVZTRuCmyoSLAVVK5o7ULJ0Om0ZMJOMoshCTqlUsgoeZVlfesZ7gZOhvAjJkux7sABgvpsGgshms8pkMqpUKmYk4NyXL1/q5OREW1tbun//vuHgVqtliSxGfXJyonq9bo1AXvmKxaJVr/BW3W7XEsEf/OAHZqxQkWEY6uHDh0uFJcqyGxsbayewOBKoT+i7crmsWq2mdrttMn7rrbf0+PFjJZNJbWxsGKZFschFKHBgkNBj5C6+wpnJZGxN1WpVb7/9tiTZ321tbSmTySwZBAWifD6v7e3tK9d1IzdDeCFzBg5Q5aH1EoWdTqf2NUKtVCra2NgwjpLwyqbQh+C9E5w0nCS/yzN8H4IvKviuLvD1TSOVSplCYYS0GlLuRmE7nY5V6Nrt9lKBJJlMGtOA8cHq0IdBUxBJTBAEBjuABXyPyFSpVMxQwYXkApVKZW2KLR6PGy+bSqXMcOfzuXq9nqrVqprNplXfUCYgH9EGKo1WA55N4Yn9531wzOVy2VgrIgBlbvIhICKRGhoW/bhyXdct2jdc4N7L5bIJ0Xes0YiCp8Aa8/m8KTBh05dogREs2pe3qWpB9fmGIumSdyXhlC6rUr5x6KYBjvYNN3go+MvJZKJisbjUOilpKQqgYIPBQJPJxNZJMw/CIWSiyJlMRsVi0Qos7AXQhLXQKEWvhYcW6wyPd5k71CE5C7mPdJlcSzJmCMPGwZCYehkxf7w3SuqdFvuWSCSW2mx9lZJ+Ezhy2KfVca0SY3EIACYhFotZk7ifBIqHlZVKJYMJXtGhX6IoWvLiKG25XDaPQYMIXgzvAD9LuIXSwyig99YZhEcOANC0IsmKHsAb8BlCxBsVi0WlUikrgAAX8Kj03TInuNBSqWSVR+99WQ+K7bvKUBjmtG553c/B/x0eEEqMyiTrwCDBw61WS/1+X9Pp1Fgc7zl5F8UnIh37JcmMG3lKsmom8uRZXsmv1NPrFh1FkVXh4P58ww2JH/yg9xzUxsMwXCL/fWM0sAGvTt8yGwZcoD2TZxMJ2AxCmm+sQVDrDHonut2uWq2WSqWShsOhut2urRNo4oUAvCKRobDjDRYlBGqh0KyVZnm6uGazmUUyH3nm87l5QUnmXKC31hnsJf0ofv9xUL7RHoOiNyaXy6nT6VijUhiGtgfMwbcCYOy0oWKc6Anwg3X7Uzze2NGZb1R2JtHq9XpmUWTZvASFgf/MZDLWAI4HxmuyWH96AU8Wi8WspIoVs3HFYtE2nUURwnxDNzia5vpXaQACIpyfn6tcLi81vYMPPZRBePDSRAUMDuFD0ONVCbkoD5iZ90iypBiv65MlohV7dXp6apXTmwbG02w2jQJtt9tm7B7fYkBU7WhiIkcBXpXLZSvWYLjkCDT7DAYD2yv6yn0vNM9j/Sg1HX00jPV6vSvXdePxJDxUt9s170BS5nEQVosHpWGIcMSGcILCY8lSqWQ9CJDnYCl4aO8J6X7zZUqsfjgcWsRYd9y7d88y89FopHa7bTiZJBQlIgohFISHx0WZK5WKJU4ouSTz7JxXGwwGS4303qDhmn3Hnk946fR7991311onhtTr9dRqtSxBJrqRXPnjZBivZ4uYG2wCedBwOFyCfURP2nm9DH1ehTOTLiPMZDJRp9Oxr4fDoclodVyrxH/2Z3+m/f19a72kzo9HglVg8fy/dNkFRvhCoL4l05/JIrtF2IRrPD2wgXehLMyNxfqjL+smPB988IE++ugjW89gMFC327X+Z+guogwsCMbrvRNtlRwjQuE9702RQ5L9LoIlCcQTg0+BYECzfr+v8Xist956Sz/72c/WWifPoUmd40qSlvINqDNk7Hu4wblRFBlb4Y+peWMkOiJHnB/Dt/piHERa+scxXOZw1bhWiZ88eaJ33nlHh4eHZg2j0cgUilCO9+Af1gVtRHj1mAhl9Sce+H6v17Os2/cMsyBJVsrEa9PqJ2lt5fXrHI/H2tvbMwOB/oIH9Q39Pnvnd/BUnFLhJDCcN5AAQ0ep/T6gMDSNUxL2GBZmYDAYKJfL6cmTJ6rVamut8/79+2q1WobZfaWvVCpZlAUuIk8G+zyZTJZOdmDIvslHWj6ZXiqV/oDVIkrTsYbSEtm87OHKrxrXKjHH1bPZrJrN5tL5J8KqxzZMEA+FEmKt/B6nLlbPVvE8mqfJfkkifHJJr7HHvgiejVw34fnRj36kVqulo6MjgzkIrNPpLDETHtPjuf3vexwtyUIwa8PY8HrwrZ6686d/2+22KR3RB0xMdFu3b/qdd95Rs9lc6v8mKmB4RAPpsokL9sLjen+qBUaKCh7RMwxDK+6g/ERh1sw6PROCx/cKHEWRHjx4cOW6rlXiN954wzArzdHSZR8wpLlPeiD/ESIYiWx0OByq0WiYMtOKyQKr1arV5xEmmT3eHVxIwojyev6RxGSdMZvNtLGxYW2dCA1PCe/rk1hJlgfwntFotKSckqwnAY6Tv/WnIjwm5D2sE8hEBCCkzmYzbW9vGwO0zqAN9unTpzZ/SUswxVNknHOjACRpiVo8Pz9fYlYwOP7LO+hiw3CI1r6fnEjP+tgP7zS+UQMQzAQ8n+/k99jTJycsHmVOpVJ22QgTZTF8TSO8z/wJrygxAvYXelzHQLwKJo7H46rX63rjjTd0eHj4B1VAPAG0GHjPz48+2VarZXCLs2itVssaxH3VbzVpQ6E4AUwftsf44HEKE9Jlj/BN4/vf/74ODg7sUIGvmgEJUGJ6H8DkeEzaYnu9no6OjnRycqJKpaJEImEGh3ISlZg3cAndms/nf3BES7o8gobHZ47fqNixubmpfr+vra0ta3jHKkjQPB6GpMYbIcijoyOdnp7a8XY8iqekqJWT5PiQ7Isk/L6v6qBQQBtPT60zyuWyMpmMHj16pC+++GKpAR5lxpA8TAAioITj8djOlX355Zc6Pj7W5uamnd7lyNVkMlmi6LxwWZuHDbx7tSrpTySvM2g8oqfB8+4oC1EALI8jAErw80ajoaOjI21tbenBgwe2DuoKtOTu7OwYfsZopcvEn+SfSIvC+vwGOXwdlXitErPJ5XLZegcQIMwCGTshmIES53I5hWGovb09tdttVatVKz0iUMqKxWJxqQkED7eaUPlSs1ciEiZC0Lp9tlA3VPy8B+edq8rsiyq+ByAWi+nLL7+0s3OPHj2yUMz5wfF4rCdPnmhra8toS2CRL5IgdC9Ur7BcubWuEksXCdz9+/e1v7+/tKfsp3dIYFPWK10YwtbWll68eKHT01NL9ulkQ7btdtuieK1WW6rseooW5SWplLSU10iXJ4y+rhfmWiV+9uyZ4Rff+Y/3ky4VfbXWL8mE/vjxYz19+lTPnj1Tt9u1phAgBUeXgiBQvV63ZzF8uCR79tjJJwk+Mfs6cnx1/OpXv7JjP1SjCKU8izWtChWDyufz2tnZ0Ww20+9+9zsrz3722WcqFot2q00ulzOMTamaPeY9vjcXT4uxouyDwUAff/yx3nzzzbUjzvb2tkGyRqOxlBDTI7KaePnkM5fLaXd3V4VCQaenpxoMBubkSOro3js5OdF4PNbu7q6q1epSxPTP5l3sgWepyKP4XU4HrY5rlfjjjz82T8EhPcK8DzWr1uyTKsLA7u6uDg8Pl+CDdFHsoBGdw6DeO0H3eJggLYdWzyX7qte6Wfsvf/lL5fP5JXKeuXk85z20h03sy87OjjKZjP78z/9cv//9783gaA7iApowDK0VEu+Ckq4qMULEa5G8NhoNffjhh2o0GgqCQH/3d3934zr9Po5GI+tIRG6+eYrf85COTrJsNqt3331X5XJZ0+nUzuPN53MzWHpfKDl7jhhD9HrDetEnbzzSBaX67NmzK9d1rRKzQTwYYXpl8djTswFeELFYTPfv31ej0dDJyclSlkqLJ6VqmA1fEZQuLnKBW/Xh01d6EATVonWVeDqdqtVq2bvIwCmh8nz4bkIg7/QeI51O64033rArovw9YuB9zxev4lF/HwfC9N4oDC9uXeLGnpOTk7VbTj/77DMlk0kdHh7q+PhYW1tbxl/78v1qQozsPd21tbVlHWZU7AaDgRkuHpW/833eRMlVr0zEWfXSURRZVLtq3HhQ1HsiGkN8TwCJhz/E50MCCpvNZvXgwQPFYjE7+s3vEsag3RAurX+SjI/0lIsP6d6wSKLWxcQec0oXSkz/K0YFzTcej+1soT9FAj03n19cS1Cr1cyTgP192FyNLjyLZ5Az4J0w+iAIjOulgLAulfiP//iPKpfLVtrncCvN8SRvvI8qJDLyzVqSrJ0UZgJoiC6A7T0Lwve9bvC1h2/oBrwxd15cNW7spl61CprhWRgehEoeCRabAoE/nU7tBstUKqXz83M74QD+xKtjBGSt4GdfbPE0l1dghN9sNtemnlZhArfxVCoV65tAWeh5sA38ag9QUmglyuY0FXGejIqgTwwxeM8F89/Vq2AHg4FevHhhHv1VxtnZmRqNhkExOtKAALwDjpr5+qTPN2dx2xIdfEEQqNVqGa3mjZQ1wUigT+B8oixGDqNDxc/Pe3Xc2Irp8RKW6lsmmaxvlVylR3xDSaVSMettNpvq9XpLSo9RSJeXr6BcXnGIENKlJ/XFFI7ErzN8qOb/m83m0v0YCFiSKSzFDv8z+ggIsxsbG5a5d7tdDYfDJSbHF1DwWAibMAwTNJ/PdXJyYvdOoFTremLvDYElGCvPAy6Nx2MlEgnrk+Bd0mUi2Ov1NJvNVCqV7H46oBlsjc+TkCcK6z2xT079Nbf9fl/Hx8c6PT21vV4dNyox/0XAkuw0AhvLhCC7qaSxab6kSbOOdMFzjsdja2ZhIyG9PQb3EMbzqj7rBSuenJysDSUY3gtIF9W3/f19azdkYEzMm2IN3sb3v0qy6wnw7iS6nOOj4cfTSnhh7xAWi4trCz777DNjeFCOdccqo7JYLMxYOQfJXnhogbwoiFCIgWWJx+Pa3d1VPp8XN9GHYWgXjedyOWsCYg5ACCAUe4uh0G13dnamL774wm6SumrceO/E6iaxeE4B83sIgAvhuM7qKjZhOp1aZs5tMOBqKkQYDtl9Pp+3rikGngrBnJ6eam9vzzbrVTyUTxbxbs1m065Dhdabz+eGf4fDoXl8LltEiSkWdLtdHR4eWqSgqQe8j5Dz+bydl8M7sy7ponz9z//8z/riiy+WeHkSs3UGz/L0JR8xwOUkeF1+ly7EZrNp6+UEjPfqR0dHBpXIpdirTCZj971lMhmTvWdimB/QrNfr6fj4WL/97W/18uVLK5xdNdaCE6vNNGA4rBAo4T1QEAR2rwFe0SdAEOJcXUoi4b0v1zihAFSSSKbAVcyN+v+rhFjm6teGAYVhaJ6qVCoZjCDCpNNp1et1O9ZDMjmdTlUsFs1r4bHojCNpBSb4Zvd0Or3UUBVFF/emPXv2TM+ePbP8gajlo8c661ylKReLhc7OzlQqlWwdPA/DZU+3t7etqZ0onEwmzWMTQT3LAE5GL2ir5M4S9Mzr3HR6cVPSJ598Yie5gTpXjRuP7Pua/SrRz1VNAHA8I9dxUs0Dq/okjnvVoLY82Q/88AtFqKtUn08ggDDMcV1FXo02/C1CpIE8FotZrd/fY8bRLN8rzF0VVA4Xi4XBD7L8RCJhh09XaUvWCY32ySefWAbvT3l/k7HqbYFhNPKjtMiK41elUkm1Ws3osTAMLXoQhcMwXGrg4vnZbNburlvdcxJi6TIP2t/f1/Pnz5daeL+RJ5aWaTbfVIPb73a7loVzDAXswmkLcKDPfMlw8/n8UnN2Pp83ZcDKOWXBIjEuT/d4y38VBfbDc5a+iME6i8Wi0T6eYiQPgBemPdL3kwAzmD9CQ6F9T4HHjoPBQHt7ewZBksmkdQ76cL7u8M4IR7BYLOwKVm7cwatykd9sNrNbRvGWOCfu60DmRBPWBpNB8cqzHOwLDmM6ndqFhL4rkb+7aqyV2PmKlffOvvLD930nmz9kSjgA89FeCIQIgsvPtfCZu3RZCfQ9FHheBsneqyQ6q+tkeGNFYTiy5LvY/Ht9lxftnOxdGIbGi5PM0TQvyfCzb8DBQEmgouiyQcrj4avmf93wod7nPLQWwB5BcfrrDJgLLQL+H0rGYU4PuWBCoujy1AjR1zuh2WxmF8l4bhn49I3ZCf9C3wjtmzPghrFGoAUKGkXRUn8EOIuwtlpt85e0eG+DZa4Kz1f4+Np703UE6/GZV2CUhoRmY2PD8Kw3PGBVPp9fai0EN8Lr+ktfgBCr/RPsIQkv+0j/Nkb/Kh746+TLfhFZz8/Pl/rBfbWNr6XLzznBeCUZt4sMMVKuoMUZIUt0h3dTZKLTEZkQgb6RJ2YBTGAVTnjsuFgsrB2PhIOLVkhu+EcfsGchVj8yAY/nkyA20y/Gb7YX7qt0dq0qMPwv/DZ4t9Vq2e1AHHrF4yIQhAr2w+t6aEESJ8kUGw/MvL33jaLISvN4JA/v1jVWz4f7nEK6PKXCKWo+l46Ci//8PhwU+QGREcWFrvNQlH/+Q2+YkyRrE4BO9feJ+P27atx4eYrfJB+KmAAUDxUZnz37S7iZhL/LmASCiQI1+L6/1sgT7b4I4+vvvqnkVZR4NWlkHoRV/sViMSPyMTgER3Rhj+iG8wrAnKVLjAfbwllESdYIz511kuwTjSQtKTBfv8rw8vMDA4Hn5eYeIJCHlew3MAnF9XcSw0CBhXFEYGHPanEMzGNwPDqG/nXjRp7Ye2HpErt4b4hFc8KDbNOf0KBAQgN6sVi0M3a+1Mx7URQPS1YV2M+JzfBzfxVF9sPX7tl8jApWBSPlBLevGMKNSpcX0CAIqELpsqmdM4c8mzuAORWDl2Meq5Tgq/DhqzJjjnyPNXLPHJgWWOWdmmciaGqi2oaDARoAByiYeKfEjUJ0M5LYxuNxY4Gug083NgD5JMB3lfFzPBewwV/J5Cs9HPmnaRrvh4eTLqs4ng3hZ75/gL8h3LNJfLKn57dfZfiNlWR90pKMyEfpoMjYH+bD8Smac+gb4fdQ9MViYSVtlKbRaKjf72tjY8O8YLvdtn0iMvoq3qt44dV9uSqq4i17vZ7desolNv4wAzSjv2eNKiPRxd9+hDcfjS4/tng8HtuncdFbjZEEQWA3inqHddVYi2JbzWZXKSwwcC6XsyM4KCqYLh6Pq9Pp2CkKn5lCnKP4eH6YD89C+OogAwrvhz/8oX1YyauGWBQCT5DP5/X48WNbpyf4aXgHx3LymPyAD15BmEQJhMj/+0/UbDQadukKFS2SQk/BeY/keeV1hk/UkYHHp/5MnTdW4CFGzbpX2w+AVJTSaeCiU85fGNPpdOyTA/hULPQLuQNl/FqvGjd6Yh/G/cPwpDSx+yYfvC5JAdnndHpxK7nvJ/bEOxsMP+xJfx82PXTAs3AR4aNHj/Tpp59KWm4aumnwDpLNhw8f2qcwERH8eUJJS4oMjxtFkXGfsAsoC/smXXLo3J8xm83stnguDiTEbm9v6/Dw0EI7bNFqzrLO8L+Lc/IVUCAPGBR8zM+58xmZTiaTJY5YkjkRuHPab5GTV2A+1AZnx3MwHGTuWanVsdZHgK1ugle+119/3Rp4eDGlZrAsVklJlq4tzyT4Vj8mvboAn7gxF743n8/Vbrf1+uuv69mzZ5ZMrjuIOCjcD37wA6MEeY7HpCgQJ7U7nY51bWFkPgziZVAYBM6dD5yY8E1OJMIffPCB/uEf/uFreeFvWthZ/XvWtRpB+HgzGAk+5xk5UpAiYtJjTnsB/08fRqvV0ng8ts+0Ay8DM8DXzAc9+jolDr5JceBu3I0/pvEvY8vvxt34Ixh3Snw3bv24U+K7cevHnRLfjVs/7pT4btz6cafEd+PWj/8LK0qKNxqdubMAAAAASUVORK5CYII=\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Cluster 1\n" ] }, { "data": { "image/png": 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siNZl3ebe2ePHj9FqtWRfjJt4SinZMKSlGc9kVPr96Cl6m0v3pn5HckJLz2YzAMD29rZsT3GBLctaP6u/Ljkwc1+/fh0nJycYDoeYTqeYTCYrC8CExO6J9Zk1XB90a0pRaZoiiiIkSYIoirBYLBBFEeI4ln4hiiKYponxeIxer7cSz1SEyTfeGbj+Ghe/Z1mGjz/+GADw4MED3L17F57n4fj4WDYSmbWp3pBm6o0Gw6ZpGrEMMzv3vfkSAkFzAfI8R6fTEa/T37kjoaHV1wJ+PrlVVYUwDDEcDrG/v49nz57hzp07GAwGqKoKk8lErEBBwfd9tNttUV2Y5PQMz2zNknV8fCz7YHzFQ5e1O50Otre30e124XmekBvu7RVFIa+OrAX8/PundV1je3tbMnCappJQer2eKKqnp6fyhlK73ZZF0N90pFjAzQXGc57nmEwm0skxi9Oq3W4XGxsbsuXEnRcaiYnNNM31XV0ffDHgypUrMiFuCJJ/b2xsIE1TERqouemZ/vzrnRQR6QUUO/RQoLrbbrflw/deeA6bH30Tcm1X1zfmlFIYDofo9XqYTCawLGtFzKMi0263UZYljo+PMZvNcHx8LLufrN3nXwNllmf50YHwBUGGDMUMPWxYAnWZ+22vdH74X0iXbXwAftnGB+CXbVxa4P8Hw4aaWvk37V8AAAAASUVORK5CYII=\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Cluster 2\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Cluster 3\n" ] }, { "data": { "image/png": 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bASqihtVqFdVqFYPBQBghEAhA0zQEAgGJCSuVCnq9HlqtFur1OkqlEtLptBx6Op1GNBqdcCGvI/79yckJfvnLX2IwGGBxcRGJREIEzOl0ihVzu93odrtIp9Oo1+sYjUaw2+1YWFiY2F+i/4zjGMv1ej0EAgEsLS3B7XZLGEQr5na7RTlWKhUBf4BzD61UKmF7exvD4VA8r+tITbvs7e1hb28PAHD79m2srKyI5xUKhUQhZbPZCQ/RbreLp0WPjla5Xq+LV6TrOsrlMsrlMsxmM5aXlzE3NydeZTgchsPhQDAYFFyCMW4ul0MulxNZyefzWFhY+PZuMA93NBrh7OwMLpcL9+7dw/e//30sLCwAuEA6aQ2Ojo5QLBYBYCJ2pObmQ1erVVk0k8JHR0dwOp3w+XxotVoolUqiTe12u6CvLpcL0WgUc3NzWFpaQj6fRzqdxunpqaCMKjJ8Hc3Pz8vzFotFnJ6eIhKJ4N1338XW1pZ8NoGewWCA09NTpNNp+b/NZoPX60Wv1xPXXNM0VKtV1Go10di5XA4nJyfQNA1+vx+GYQiDZrNZnJ2dSdjg8/kQiUQwNzeHlZUVhMNhFAoFsRRMA30Ty8o4zefzIRqN4t1338Xy8rKcg67rODk5QTabhcvlws7ODkwmk6yflplIqNlsRrfbRblcRrPZlDWn02mMRiPMz8+LUHS7XXQ6HYlbycgMaarVKkqlkjCx1WpFt9tFsViUvOR1RPeTis7r9eLtt9/G3bt3EYvFRIFyj6vVKra3t1GtVmG328WY0KOja2q329HtdlGv18UT6Ha7SCaTyGaz8Hq9cDqdaDQakopsNBqSnnM6nfB6veJFLS8v4/nz58jlcshmswLAfWvLSv+ZfvbGxgYePHiApaUlyRHpuo58Po9nz57h9PRUAJONjQ1BMOnCcrN4aDx0WlrmXxuNhmg5n8+HTCYjVrhQKGBhYQE3b94UgV1cXBTXqtFoSOHGtL26TqdzorolHA7j5s2bePDgAeLxuAAhhUIBh4eHyGazOD4+Rj6fx+rqqgBSLpcLKysriMfjEstQeXA9+XxemLXVagnQEQqF8PjxYwSDQezs7MAwDKysrGBxcVE0Nj0Apg2oPL6psAJAIpHAnTt3sLGxAU3TcHZ2BofDgePjYwGeHj58iH/5l3+RMy+Xy6hUKuh0OtjY2EC9XofZbEar1UKj0ZiodCJQ43K5UK/XxdI6nU4Ui0Vks1kkEgl0u114PB6sra3B7/djc3MTiUQChUJBsg10U6dJ3Vx2lTc3N3Hr1i1RGs1mE5VKBUdHR0in0yJsNpsN9+/fh8lkQqFQEEuaSCQE3Gs2m1KY02630Wq1UCgUJEXUaDQAAH6/H7qu48mTJwiFQnjy5AncbjdWV1exurqKxcVFBAIBMXgMHaj0X0ZXCisrLZrNJrxerzDMaDRCOp0WIGY0GuHx48f47LPPEAgEcPPmTWxsbIiWbrVaKJfLklMl6MBKln6/D5/PB7PZjGKxiHa7jVgshmg0iuXlZVgsFjx79gxPnz7FYDCQTU+n07LAUCgkVpbx8LQpDYJZ3PSVlRXcvn0bgUBAkD26VIVCAZ988gl8Ph98Pp+kQ/b29tDpdJDP5wWa51oJMDCHFwwGUSqVoOs6lpeXEQ6Hsbq6inq9jpOTEySTSXGlisUi8vk8Njc3EQgE4PP5MD8/L670tLEcmQg4j+UTiQSWlpZgtVrx9OlTFAoFPHv2DKurq9B1Hc1mEx9//DHi8Tg2NjZw9+5dbG9v4+TkBCcnJ8jlcpJCarfbqNfrE9VswWBQgCzmzKPRKG7evInd3V2cnJzg8PAQOzs7cDgc+PGPf4xwOIz5+XmJ3S0WC1wul3gv04Q1jFeJ7sbjcSwsLMBsNiOTyaDdbuPx48eYn59HPp/Ho0ePAAAPHz4UDIAKiCEaFSv/D0BwF7PZDI/Hg1qtJlVwVDb5fB5HR0doNBoCIn755ZfodrsIBALwer0Ih8NiDAzDuPIspwrqarWagCFerxfJZBL7+/v46quvEIlE8Hu/93s4Pj7GvXv34PV6JT/baDQk7xgMBsUdVosdzGYzdF2H1+sVd2h1dRU+n0/Ak9XVVQFYBoMB5ufnsb6+jr//+79HMpkUCzE/Pw+73Y5yuSzafRoiIxDwuHPnDubm5jAajbC9vY1kMol0Oo0//dM/xd/93d+J63bz5k0sLi5KjnQ0GkminYfKdBOtNuO24XAIt9uNzc1NDIdDOJ1O3L59G51OB/fv34fb7caNGzfgdrvxj//4jygWi1hfX8fbb7+NRCIBq9WKdruNdrs9dWzOXDhwXjzg9/tRKBTw/Plz7O3tIRAI4KOPPsKzZ89EQAKBADY2NuD3+6X4JJ/Pw+v1itus1voSkQ8Gg5L6WV5ehtVqxdzcHO7duweLxYJ6vY6PP/4Ya2tr6Ha7+MM//EN8+umnePr0KaLRKJaWljA/Pw+Xy4VCoYBWqzWV8mUqqVQqYWVlReLxo6MjPHv2DNvb23j48CHu378v34/HY6yvryMWi6HRaCAUCglmwqo2Na2mVpAxLrXZbIhGowiHw4LuZjIZtFot+P1+BAIBbG5uYnd3F//6r/+K27dvY3l5GfF4HNFodALjeen5XbVwIp5OpxOrq6uIRCIYj8eSPmi1Wvjwww9ht9vx/vvvY35+XmB9VoG4XC64XC6xnGQaunJq0bfb7Uar1RIwiqVaVqsVq6urcLlc6HQ6gsbeu3cPR0dHyOfzSCQSsNlsWFxcFGTycrXTVUwMnCf0E4kE5ubm4PF4sLu7i+3tbTx79gwffvghNE3D5uYmut0uNE2TmF7XdUQiEQQCATidTnl2tZqLYIWmaXA4HOh2u6KQCDw5nU7JLZpMJgQCAbhcLjx48AAHBwcol8toNBpIJBLwer2oVqvI5XJTp6j4WfPz85I7TaVSKBQKMJlMuH//Pmw2G9bW1iSkcDgcElu73W643W5sbGxInpf5YeZL6fnQXWcOm4UR5XIZ4XAYd+7ckThUReMfPXokn3/z5k3xMMrlsnhMVxFj1sXFReG9druNbDaLw8NDKVixWCz44Q9/iP39feEpekDRaFTSNx6PRyqXiJqzBJUpH1a1sRqJId3c3JwYGGYLVldXUSwWcXJyAo/Hg8XFRfGUKpXKtweYWBsaCAQE7WTd7p07dxCLxZBIJNDr9RCPxxEOh8X9ACCon8PhEDeTSKNa/A9AlEIwGARwkThmHMRnoNvs8Xjw/vvv4969ezg9PZWChUAgIExJK3IdEZL3+/0IhUJwu90YDoeo1WqwWCx48OAB/H4/9vf34fV6sbW1BcMwEAwG5fBtNpsoETIhD/dy/Gyz2RAIBCQFwGfXNE1y261WS/LMH330Ed566y3k83k5B+afGVpMQ1SW8XhcPBqr1Yp33nkH4XBY0nA8T3pCVNrhcBjj8Vhy7wQf6R6S0fg3RPNdLpfsValUgsPhmMAv/H4/UqkUrFYrlpaWJNXBBgur1QqXy4VcLnftGomOk/eAc89wPB5jc3MTPp8Pbrcb29vbcLlcWF5eRq1Wk7Qhn4sll263WzwSpq+YASAPE0BjAYnJZEK325XwjOmdwWCAubk5/OAHPxBQyWazibIaj8cSqryIrhRW+s9qFYvJZMI777wj+UZN01CpVKTmUxUQMq7aQkRBYm7KMAw5ZJa0WSwW2O12ycmy5JDPApyjw7FYDBaLBbFYDKVSSdxrMvlVC1dJ7WzhM/f7fcTjccTjcYH51YIHos10FWlR+Qx092lleGAkn88nYYDX651gAKbEqLGZMGd6g/tAzU8Fdx0xbiK6a7PZ8Pbbb0tyX6VOpyMAIxmRQkNmZE0vPQ2eK3GEcDgsSigYDApOweo2j8czUUK6tbWF1dVVHB8fCyg5Ho+lkWQay8pUoVqXbTKZpC6aKSpmGiwWC6LRKICLhgw2MtjtdkFpqYCZbx2Px2i32xLjMudMORmNRhPpTIY68XhcUGN6RazO83g8Uvb6IroWYCLxEMxmM6LRqPSQ9no9ES7gAlllaRYXxhYhMjQ3Std1EVy6xGqbHa0yXRrGR2p3BhP1rGPlJk1T8cL3UP8lcLOwsCCWTC1fo8YmI5I5aJUohDabDbquy4FzPfRYqIW5Xu6XigpyX+iOUijUtsBv0iLHtjQWrtOdZfmfruuw2+1iRVgzy9JRl8slHofa1qV2lfAZuT5WTlH5UvEyf63rOhwOByKRiMS7zWZzok+Ywn0dqR1TrGKi9VL5KhAIiCA7nU5Been18TwI/qgtdOxHptfA1/BcXS6XlOjScDBH7fV64fP5ZG/UVsjrSkenQyaUxTMOo3DQkqkbw02mFlKLsdm1ofaFMoCnYKitUnytqu34PCqRcfkaYLr+RwATFg+4iHuoKNTuDxYAWK1W2Gw2+bla6E2EVmVEeha0UBRStRJKbU3jfvE9KeysUVWfUy0Wv4pe1GLG8yQSTtedSoBMyPw318s1ca/Vlj2enVpUQH5Qe3FZb07B4FcwGJwo/6TgsxZ82jPlHvIMKWyXlb16fjyDF8WOtPZ2u13KZAmCMozjeTEfTaVLRUBjRAXIEkQ+51VtgFcKK90Cfq82F6u/o1XhxgKQQ1GDc9bOApBAne4Fk9GqRaY7QWHhZ6mbTCuoCv9lxG4a4nvwNWRiaj521qhdK7QsPFweHoWPsRNwwcREWdUmcrVsjYJIBlJ7TtW+YbU+edoCEKYaqHhVZUblR0EELprpGZLwrFhGyr9tt9vCI6oLymdlkQIVMZWg1WqV1BbPmS4n3W2COeSZac+R379IYVMhqfutemHkP66JTRXEClg7wBw6q9rUdjsqXcqF3W6fMEAq4MjCIn7ey+hay0pQiFqPP1MBEwoytajqzrJAgQfH5DGZl5vJWI+uA4kuGYnCyJpl1bJxI9Se0GmIB6ZqXLXti8+nHr5q8fmlaRetc6zSYnsfmVAtzmfcyMNUtSy/52HzfXgO3W5XmJzJ+Ouo0+kIMKUytepu0nNguKLG3eq6qUj8fj/K5bLsI5+fngf3kugw3WoqeAJwLPJ4kQIBJntqryOV4VXBVUnlPSovCpDa/cJzp3fD0IaN6SzsYSzMvaRyUvdaPUtVsamfUa9fvqDugq61rIwDqfm4KH7Ar72hAhZReHu9nvQIssgikUggk8mIm1Wr1QQ15SGrlouL5udzkarLpf4dy82mITIllQ4FiO/Pn1N4aZX4RWZU3TruH70H/p2KJqr1rny96vbyc/gsVqtVwgAAopBKpdJU6yTG8LI4Vy3q5zpVxctWxvF4jHw+L26b+hqGNLTOqtfBfSCAR++Iz3bZ6qv7P201Gvedn6OuiUJMA6K62SowxddSsdLDajabIgd8vcViQafTkQkp3De1oUVVhur3NDjEYZgffhldKazUZCqTUljUn1Mb8zD4MOzhZHkdH6bZbMJms6Hb7cLhcGB+fh7Pnj2bKM0jg6hxMoWZaRk1BWQYhlgDMkyzOd0tfLRiXI+qlFRS16YqCX7R0vn9fhG8wWCAcDgsqDFrnqmdVauuxur8GfdXRVrJyCyYp2W7jtrtNrxerwiEqnjVtVMZqt9zLVwXBZItjWr7mTruRJ3zRE9CXauKwHIPqXT5DHyvaWqDLyt0NXYF8Gvfq5kJKnrgouadyo0C2Ol0ZB2MTVmcQi+Pwq6eFYVcVU7ka2YZWq3WlempawemqZMDabpVl/CyO6UyOWcJsRyt0+ng8PAQrVYLLpdLpizs7+9L4M4eSpab8QDIsHSjWDSuui/0Atj9Ma0bfPkgX6SQVOtBDax6FmrbEyt0SqWSoK+tVktarbi3mqZJ/phuPLW4qoRU3ADARJzPYvRp6OnTp/jggw9EOakxJdd42WPhWfd6PdTrdYm9iAswvqQ7qMbRnU5HgBvV5STzk1SvhfE4cBG3qx7adaQqIlUZqaQqCtUjU3uyWazPtAwVUL1eh9PpRL/fl3x8vV6Xbij2J6vhnPq9epb0LlhU0mg0rjzLK4W1VqtJjpGbcNkdJvFnFBgykqZpyGazyGQykg89OjqSgF3TziuA3G43FhYW4PV6Ua/XJVWjgliqplddVRXwYf6PFVLTEEEMlaH4eapAqvGUCiax9clsPu9d5Oibg4MDUXCNRgNnZ2fy2kAgIIerMqXqRfBQ+UXro46A4eSJaahUKkmqjdZNjdNVUi0+LTiVn67ryGazgnST6ePxuPyOta4sOCBjqy4xQUA1hgMu8AsV6Lm8/y8j8infhyGcuibysAqEqULEOna32y3TPdhhUy6XxcISBBuPz3OupVJJXFvVsqvPogJK3A+eZbPZ/PYxa6lUgs/nmxAKFRXml6rNAMjh0g19/vw5/uZv/gZ/8id/ArP5vDjdbD7v96tUKvj0008RiUTw0UcfSQwQDAal1YxutgpisZ2JzKfW59JdmxaQIEpKBUDmU+NyFaXl5pOR2eupaRq+/vprGZqWTCZloJzZbJaYJxaLIRAIIJ/PIxaLCYR/Ocyghqby4fcMAxizThubsymBSlC1PCojq2fZarWkfc1kMqFYLKLVamF3d1dCD3oG7EBhmyAAAb8o1GqajkqWlpr7SgtPF5ivm2Z8Dc9OtZSXPUOeo3rGjC8pdG63G/1+H9lsVlJwOzs7aDQa0uerFtOMx2MUCgWEw+EJ2VB5l94QPRD+n4LLCYkvoyuFtVKpSI0ltYGakuEhq+mNfr8vbVT07RcWFvC9730PgUAAvV4P0WgUpVJJkut/9Ed/hO3tbRQKBUmcqwihykwESfi9anHVhfM9pqFmsykTA3iAanx0GTUkI/NwW62WgGSPHj1CqVTCH//xH2M8Hsthj0Yj7O/vo1KpYGtrC/F4HCcnJ1heXobdbpf2NTV9xUNmQQmtuIoodjqdKw9YpbOzM4mruYdqCEOiIlLXx4qfR48ewWQyoVQqIZPJSIxO5mYZ5s2bN2E2m6WYXx3zo6L9tLJ0S9UYFoC8pxrfX0UvmhKoekdUBPwZz7PX66HdbqNQKKDRaMDpdKJcLuMf/uEf4Pf7cf/+fRQKBZyenso66vU6TCYTNjc34XK5UK1WMT8/PwGA8kxZB8A4mEaFuA7bKa8K3a4U1nw+L0LDKg7VxVCJwsERmqwN1TQNt2/fhqZpqNfr0mjNRl52KHz44YdigdT4k4x1OfjnZzJmpuvIGBG4OmelUqfTkRyZiuDRJQUmCyf4XJ1OR9q/OD3i3r17Eu8Eg0GpDR0MBrhz547gAOz/bDQaiMfjMm0CuHDLVNdJRebZwE0mm7ZhIZVKiUXme6mYBPdMBQY5cpZxFWdSxeNxAJA0HNMOx8fHYlU5CgeAADW0rKrHonoM6np1XZfc9Gg0Wcr6MuLZXT6ry3lVYNJNZkyuDjwol8solUpot9tYX1+HxWKREaaDwQCHh4diaROJBNLpNG7cuCHeKD+DCpcuMC0qz5T7o45nfRFdKax0eShEtBAq3K3OvKXvzbpVlh5y9CbTKSzZo6tbq9VE4y4vL0sxu+rKqnGGms9jnMr8IQ9sGuRQXWcwGJyA8y+DIOr31IqsaWWBw2g0wt27d2VOFMECIoU+nw+rq6tyDcbKyooIqJpj5f/5uaoCoWbmQbOxYRryeDzI5/PSScK4UWVguvbsx6XV9ng8cLvd+PGPf4zd3V3ouo5EIoFms4lGo4F0Oo1QKIT33nsPuVxO5hBvbW3J3lCpqJVhdEHVlBVdRwATtzBMiwa/aO8ATMTq/D3fl2OCDMOQ9ji2DLK222KxSB23zWbD1tYWcrmcpKI40mh+fn4CGaaXxPCMXyoPcfzPVYr3SmEtl8vyMB6PZ6JmVd1U5qOoLVhO2Gq1cHp6ii+//BL5fB52u10CdrfbLQxQLBZRqVQAnHe+LC4uio+vBv5qGscwDHHhGGuqKC27g6ahZDKJRCIh61PzgSrYpGpiCjbXQEBE13WcnZ1Jn6fJZJKex/H4ohWOUyVYD0srqcZr6sEy1lRxAlrYadxDUj6fRzgcnhg9w/dUkV/ONx4Oz6d1xONx+dujoyNZY7vdlsHWNpsNc3NzWF9fF17w+/0TQIva86p+JnAhXCwQUXEIegLXEfecTSMUEBX5VeNaniXRbM7BYsWWyWSSsUGVSkXmbnk8HszNzSGRSEicqt6yQNScfHu56o1rUddZqVR+zWNV6VrLWigURFPQnaDloTtFDQFAksnZbBaFQgE7Ozs4OzuDzWaTAuharYalpSXJp9JN0HVdeg7j8bhMN1SrZ6iJdF2X+JZ1mHTx1Fk501A2m0WxWJzoeuDnqIxGq8NNJrAyGo1QrVaRTCbx5MkT5PN5QRKHw6F0VhA1ZsP46uqqKAcVSFKRWtWqXgaZOGzrRXWsL6Jer4dkMom1tTUpUOEe8n11XReG6/f7cDqd0t+ZTqfx+eefY39/X+I7jmdNJBKIRCJoNBpSBxuLxeDz+SbSNwQfGfe9KFYmyqxmGABMlYrjuNPx+HzMq2EYogypUFWQcDAYQNd18YKWlpYEUKpUKjg8PJy40kXTNEG3dV3HeDyWiRRra2sTV6IwNQP8erZEBSwZDlEeXkZXnjLdV5a9sZ6TH6iWgBEoqNfryGQyODk5kQIIlp7xa25uDsvLyzICBTjvwNA0Dc1mE0dHR6hUKojFYgiHw4jH4zLakvk99TMBiCAwucwh4dPQ6ekplpeXsbCwgGg0KqVk/IzLiKnqSnHgWaFQwOPHj5HP5zEYDCQEYGO8mqPmjN7Dw0MMh0MkEgkBYC7H6Gpsx1ZBzgOq1WqSr52GPB4Pjo6O8P3vf38i7UIsgukuxqc2mw0ejwcm0/mgty+//BLPnz8XJqXA+3w+BINBOJ1OYWx6OY1GQ8IEFaijN/aimUO0fGpKhTOqr6NSqSSeHQvr1bBNBX1obKjkOb1S13Xkcjns7Ozg9PR0woOcn58Xz4Zgar/fh8vlksmGNCp8dnXYn4qzABe31OXzeei6jkAg8NK1XVtuSGSXI/65wdTuapqjXq9je3sb2WwWtVpNoH26FIxJ33nnHZked3Z2JjC42gfKO2Dq9Tp6vZ6ANUzZAJBcLV3Odrstm/FNJhwmk0mcnJzA6/WKYlJrOelV0EUFzrVyo9HAyckJ9vf3ZQp9q9WSkatUaizmpxfAXPLh4SGq1SpWV1dlFhMtNfdVjZ0pCPQcyuXyhGK5jhKJBD7//HPUajVpt2PFkap8mcRnLPb8+XO5HqLT6cjQ706nMzGmhs+sziqyWCwyp9fv9090XJGhaXHp/tpstglLxus4pvGUzs7OEI1GEYlExA0GMLGP/DmFincYxWIxDIdDpNNp7O3tIZVKoVqtwufzScFOKBSCzWaTFr7hcIhCoYBAIICVlRX4fL6J6jS1vpuKV22xI6aTy+XQ6/W+fT9rOByWEZOlUkmarBnPEXjiXSK7u7t4+vSpxCQcjp3NZtFsNgV5bDQa4kYxEUzB4kQBliZyMt78/DzG4/OhW6oLxbhWdbFarZbEINNQv9+XoeHVahWxWEyETa1CAS7cmUajgd3dXezs7IiFo4XxeDziIm9ubsJiscg9o2xG5kEmk0nouo56vS53vLhcLmmpUw+XseTlm+2m7dsNh8MwDAOZTEbG4LCGlxqerpvVahXMgSkntsrxNTabDW+99RY0TUM+nxcXMxKJoFqtQtd1pFIpFItFRKNRmSbCe3IATLimqvtPpcSccrVanaphIZ1OS1hEjENtmODnUFAYE3NQQSqVkvuN6vW68AEBI5aS0oPjXKZ8Po/j42PcunVrovxSLWgBIPO5ePMBX8tp/1e1AV4prPPz88jlcvJQTAaPx2OJKVTtsru7K5aFXxyEzLtiOFeo1WqhWq1iOByi0WhI5VGr1ZKZstwsVnUQzOHVFJcLIAaDgVhkdbrEdRQKhVCtViXOpSXkSA+1SL3X66FcLuPRo0c4OjqSOMrpdCIUCk1U6PDaBSJ9jMstFou4xqPRSMaOUICXl5eFueiCqcn7arUqSK0K/19HnMLRbreRy+Uk/uJ0AzWlU6vVcHh4iGQyKfEU950CvbGxgaWlJRiGAZfLJak+CjuVOcfDcgQtAOEnrgk4t3hkZqKrKqA3TT6Z13Q0Gg3ZUzVlo4JodPtpWJLJJA4ODoTfqJg8Hg/sdjvu37+PUCiEdrstQ8E5kqfb7eLo6AjA+fhTlWf4xTw+jR0nSBDHGI/H315Y+ca1Wk1GJtLFpDakdiJSRovHPsdkMol8Pi/Cc/PmTRndmM1mpWuetZF0oVSE1eFwoFqtolAoTFwJyJwuhZQxARlqWmFlQp95LvUaCLradH+73S4ODw/x9ddfS86UUwxouY6Pj2EynU8g4FWR+Xxe3Fa32z1xDQVnDjF3ylGh3H8qIu41ras6WXAaev78uSjEcrmMQCAgo0mAi5rZYrEo0wBZ3ELcIZ/Po1arySgSehy8fKpSqYgry1lcVBAsWB8MBjIhklVJKv7AmJLeBQs/vklFGqcFjkYjaV5QBZYhHWPrWq2G/f19ZDIZ9Ho9ubNmOByKEmbszZCP4SDXZBgGjo6OxPVX64HpjrN0l2tUFVi3272ydPRKYf3iiy9kih4XR+ag62U2myesy2AwQDabxcnJiSTTe70etra2sLi4iI8++giGYeDJkyfweDwTN3EfHh7i5OQEx8fHUqq4srIiQXexWEQgEEAsFoPVapUcHIEptp3RvZ5WWNkc0O12ReGEQiEMh0MpsqDG7/V6ODs7Q7lcxtzcnIyerNfrSKVS2Nvbw/7+Pkaj87Ew4XAYtVpNhkvTClUqFdHa3D/mZyORiExLqNfrGA7Ph7eps3kpdGp66zr627/9W4TDYWQyGczPz8t8YDInz7Rer+Ps7AzZbBbAuUWm5WR8zrhWvfqRloppNQq11+uV6hyGNmtra7BYzicA0hIDF6NygHNQqVQqCVo6jbBSAKjA1TlSwEWlFpU53X1e19jtdmG1WiWllkqlZN4zLz6u1WrodDqC0kciEeEVwzBweHiIXq+HtbU1Sdld7t2mlVXvJh6NRjg4OHjp2q4U1mw2K0xBbcTF8MHpxrjdbqk5ZYPucDiUgdwrKyv4/d//fdy6dQvdblduIVtdXZXDphUZjUYIhULw+/0yzIrgAi0Qc6l0dYhQqoXv02riVCqFxcVFiaXH47GMp2QTMbXnYDAQQIHAAy1nPp/H9vY2ms0m7ty5g2g0CsMwUK/XoWmaHBwLQyqVCpxO5wTDdjod5HI5xONxcZUIrlA4bTYbstmsKI9pLSv30OPxiKIjyEPgjrEUvQCVqfb29lAsFiUU4hQJ4NyyEoHlbQ0sNWQ6R029sCCGnoaKzhIToEXiz6Zxg2nhaCg4bI2tdwCEd+gpfvXVV2JRrVarXC7F3DYr0KiAeB0KwxN2H3HMD8toeUeTOq5I5Ut6plR+wH9gUgQRVrpCqjvGUYuEulk4EQqF4PF4EI/HBRGm0KfTaXlI3nNTLpdhsVjQarUwHJ5fSrW2tiatYwAmCiCI/vKLAtrpdERzkcGnZeJms4lWqyVMycosAgvspKB2drvdUsSQSqVQqVTkrpN6vY5AIIAf/OAHmJ+fR61WwyeffCLxZ7vdxrNnz8R6u91uLC8vSyUYwSZaJaakGIer8SvTEtMCadwbIvxqLTUrdOhJ0LVvNBo4Pj5Gq9WSW+cGgwE2NjbkUqtCoQCr1Sp3uPBay729PVQqFamn7Xa7mJubQ7/fR7FYhMPhkBsC2Zam5lR1XYfP55P7Y6bxlBj/0xJTkNSCivF4LHtZqVTEmvH+H2Yj2F/K+383NzdRKBQmmhqYulKb9OlBsFmBoRxTPsQwaJnVm/Suomuz6f3++cXBpVIJCwsLci8l3S8GzgAEUIlGo3KbWr/fx9LSksSDqVRKXCWLxSKAEDVsMBicGENK15ZpJLVuVG1gV91yNQachhgHUhGoqSir1SouOTc6Go1KHMfyQTKGyWSSKf4EDAhKEMi4ffs2bty4IW2AAKQGlQqnVqvJyErGa0xxqfEqixemIZ6XeoWJyWQS4JDdSyqYyM+gG85rJ27evImtrS2sr68jmUyiUqmI4nG73Uin09A0DY8fPxaF6nK5ZJpis9mUay0DgYCsQ61NZi4YgLi21xGtPt+DFlvNr/K9Op0Odnd30e/3sba2JuEVrzXlgDcKMPeZs4eZ/ur1zi8ZZ2UeyzhpiCwWC8LhMDRNk7Mk2t3vn98xfLli70U0VelLo9FANpuVSfnUEqzE6fXOLxxirpBT8FjyZTaf3yDn9Xol+Fc16GAwmLipTR1LykIBxn6NRkMKHux2O+r1ugxJpnvSbrcFrJqGLtdtcuo9AR/GHGoOkVZhcXERdrtdPIU/+IM/QDgcRr1exxdffCH3rPCuTsY4kUhEFB0RdADC1CyZo8tPAIYKjNVLLFGchig0FosFmUwGGxsbE3Gb2p9JBclih9/93d9FpVKRTptcLidnyxlEnFjh9Xqxs7MjLWW8ZiQSicBisaBUKknrHdNszE0y7lULFlSvYxoib6k1uMQ2KPDD4VBuOPD7/dIhxLEqy8vLMq4UgCjLaDQq709vyWw+v+5xb28P+XwekUhEsAUW+tPFJr8Ty2GvLBXMtxZWWrFisSiF2qyDpGtIRuL1eLQ42WxWcrPcdLXcjuCJOtKRfj9zXmqVh9lsxtzcnFQ3Mbc6Gp13e/CL1+zxkKYhte6XuVbOjGI9M/+GSLg655bF9Xa7HeFwGPfv35eUF5UP43u6Y9SktN7MX7PeltgAgQvGPJVKRbQzY/NphVWtxc1kMqhUKlKIoU6apOvocrng9/uRSCQQj8dhGIa0+B0fHyOTycgF0pyYn0wmRVk6HA689dZbWF1dlYuYuJe06MCFslTdeYYhXq8XuVxO9niaswQuGgDMZrPgK5zhrPaW0khUq1U4HI6J+3hNJpN4VZqmifFh2KXGoqy2q1QqePbsmfAyGwToNTF8Y1hDUJMYz7cWVmozi8WCZDIp97moKQbWj7LTRrWO6uxZ5gd5mHa7XWIdur0suVMbeymQo9H5nZmRSGSiuoXuEy0pN4AaehoisGUYhrRFsetCdaWpdObn52G1WqULiUgvwRar1SrXPqpVN7SCBEtYEO71eoWRotEo9vb25G4XIuzM7bFAhQX8l7tmriL+HYXp6OhIBJioPp+R9xSxcoxF8HNzc/B6vVhZWZHSSqagWEPOireNjQ0Zx0plpGkaYrGYuNdqcQfPnvuhTsNgnvo6YlhULBZF8akegNlslnZIq9Uq44WCwSBu374Nn8+HcrksLmqtVpMwiff1UIESTCN2Y7VasbKyAl3XcXx8PJH6bDQaojiIC/B9iB9cZ1yutaxELwuFAgqFAtbW1uB0OkWI2V3AjaW21DRN7nNheRwtqVpGyOBf3VQA4v6y/K5SqUhMyPiUVpnWjmAYK4qm6dIAIBVTdNEzmYwALOozjkYjGXbtcrkkviqXyxNADddJN5Z7oKKAPODL7r/T6UQkEpGOF76GDEOFQbds2m4U4OKmgeFwiFarhXQ6jXg8Lu2FtNZ01QkasryOlxPTkjDtRIvD3l1aMbrunCZBZUEg5+zsTGZI0ZpzmF6v15MZXsyhq0X/LyNe5ZHJZGTSCZUmEV01z2kymSYuqyY+Q95i1VitVpNJGIPBQKYZsvCj2+1K6LK2tobRaIRsNiveJuNX3mnM+4IYOqidQC+jqQAm1roeHx9jbW1tApRg0QA3ipcZ+Xw+mbxXqVTEvVRL5hivMJAHLmYtqQgsBaLdbsPv94vQkjGonRjPEmr/JkSmZyH40tLSRMxDxlMtvxoG0CsALor7U6mUWAxqVrqWKuPRBSXoow7oYmqFn3W5uICHPA1djol4d2osFptowFe9HXpNrEUGIGkPgl1q/SvBG8Z1aqEDv2dRBAvhL6e2Op2OnCMVqNp9cxWxcYSdX6FQSAac8dzoctIjYL6cv+NF3zyTer0u5Y5UdmzMdzgc8Pl8kr0YDM6nWM7NzWE4HMqt6Cx4oGU1DAONRkNc4Gn4dSqAiUUQmUwGx8fHYlmIFqqTHdgTyA4ZbhRjOgCS6KbmpPZWmwLYMKAyV7VaRbvdllYstf4ymUyiWCxKjPFNLA4AQeXYacSifJbAsVOC6yoWi3JlI9Fx9XZsTqqr1+tS7cPqFdY2c78oIOplRXz2ZrMpSoDKjykr1TpMQyxk4N9XKhWcnZ1hbW1NrM7lfmE+JwAR5tFoJOECC9rZtkihZN0x/692SvHfYDAorvDli64ATEyppGK/jqj4Go2GgEUs5iHmQM9iMBhgYWFhAtzj71l0w7wq16oqb4KtwMWIIXXom8PhgNvtFhe+0WiItTaZTBLOcA/URpEX0bXCajKdzzV98OABDg8P8eTJEywuLkLTNOlSYYc9S8gYWzDu8fl8MAwDgUBAWugY3FMQqKFY0sU0SqPRkDtzWF7IVAJj4kajIWVwKlg0LfACXFS+sBqJVT60BjxwuvmMmRlTkqlYqUPhZHKeGplftIyMo6j56YVQsFmQPh6PkcvlpI6aoYDazXEdEY0mU45GI6RSKWQyGUSjUUHYnU6n5Jy5fpPJJF4NlS8rrqgYh8OhnHkoFJKMAZ+TRROj0UgK/WkF2dPMvR6Px3KBdqPRmLpv1zAMMRC7u7syepVjUWlg6J3xTlWek2pRqXT5+QAkPLlcu82he9wXKnCn0ylGRsVwmGJkBRl59T+cuul2u1hYWICmaXj69Cl2d3fFJeMDUKuyBYoXIw+HQ7lOUK1KYR6VtcHsylDbmljfyWHStOBq4TtBBMLgTBuptaDXkdrx4fF4UC6XpfkgGAxO5HQZS/FZiWKrjQsmk0nWXCwW5VAJKPE1avlZv9+X9dXrdclRs7JLHYA+GAwkDqOlnoYI1gEQZVmr1WSd3HdaOf4dgbRutytgGmNY9RoPAOIyE/yi0mQumsqcLjhTZCrySgNBnIJu9TTTDVmXzDrmZDI5cZkX0WjmktvttoQdw+FQEP5cLofhcCjPFIvFpLebKDWFlikvxpz1el2mRLBRgoCi2nrI61XUgptvHbOSmagx79y5g729PTx9+hSBQEC0FYvRuemcvp9OpyVJTPCHYNP6+roAQ8FgUArbWScJXMRYdIOoIGq1mpSoscOCQhKLxXB4ePiNmFilxcVFGTPD6RFMV/HzxuOxdM3wc7nhoVAIAKRZnsO1PB6P5DJDoZAg62RMAnZqOKFaUAoDXSY2jn8T7wGYnDvk9/vR6XSQSqUQiUREkbBLxuv1SvzKOE2N6wi08BoUWl2WKJrNF5czqTeq8e8Mw8Dp6anUfrORfjw+v3S5XC6Ly8oe2uuInUQcBbuzs4NQKCSTNWlUvF6vnM1oNJKLsOndUAjX1takC6dcLsPr9UpenIMU2DtLpWSz2dBoNGQsEptfmHWgvDAc5LkAV1++pX3Tw57RjGb0amg6ZGJGM5rRK6eZsM5oRq8JzYR1RjN6TWgmrDOa0WtCM2Gd0YxeE5oJ64xm9JrQ/wXXR/otm72qYwAAAABJRU5ErkJggg==\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Cluster 4\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Cluster 5\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Cluster 6\n" ] }, { "data": { "image/png": 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IaGVlRe12W8vLy0qlUlbi9CWr0xzvmdrsE+dGo2G5FtGLBURIzWZTvV5vgpLGs/FgEBJECzxRp9MxoUvHzF6n07EIWavVdHR0JEnm7aQT2JTJZIzIAarOMri+z0MikYiq1aru3LljhloqlSzS+66X/f19y7upv0kyZAECAfY0m03du3dP29vbqtVqBq8bjYbu3LljUZxSBZARB+LJDZjZWQaR1aOGSCSicrmsGzdu6ODgQM8884xu3ryp3d1dra+va2dnR0EQqFAoGH9Rq9VMBisrK2ZUyNOTg6VSSXt7e6rValaeOzg40ObmppaWllQqlfT444/rj//4j1UsFnVwcGDoxBOXzPesgSMEufmabbPZ1Obmpm7fvq29vT3t7u5aGVE61vVms6n33ntPvV5P6+vrWltbUyQS0cLCwkR1otvtqtlsmj2USiVtb2/r7t27FtwODw+1t7enSCSixcVFY5RbrZbOnz+vTCZjMpil1HiqsfrOIBQUmAppwP8PDg4sX/WNAUCLer2uYrFopMF0OYTIDWyGtNnf37ccj/yl0WgYQ4hBQCyl02lzBLMaK54SwSK0/f19HR4eqtFoKJfLaX9/Xzdv3tRoNFK1WtXy8rJBwUqlYnkPRE6xWDQj5ou65u7urlqtlkUnRqPRULlc1mg00tramlqtlvb29rS6umrR17Pn6XR6goU9beDBgXAoz/b2tu7du6dCoaDLly/rt7/9rS5duqTt7W1FIhHl83kzVNBBsVhUo9FQKpUyEol0CYU8ODiwfBcH2Gq1lEwmJ5jo4XCoS5cu6e7duxZ5kF08Hp9AXGeNJ554wtIiHD/6sL+/r48++kjRaFTr6+v6zW9+o263q0KhoOFwqGw2a7D83r17arVaEymIz9up14ZCIVUqFW1ubqpSqSiZTKper2t/f19bW1taX1/X3bt39dxzz+m5555TrVZTKBRSoVCw+vJ0U86DxpnGitdJpVKSjj3X0dGRDg8PNRgMrPOl1+uZ4eAt8vm8wax6va67d+8qn89bhCF/xWuiyOS7KysrymQyVjIBevqmg3A4bN4dJUapZzVWICVogVzt9u3bqtfr2tjY0BNPPKFkMqn333/f8lXyYoyQ/CwajWphYcHqaUCyXq+nWq1mEZgoUCwWtbi4qGq1qo8//lixWEznzp3TuXPnrC5drVaVTqdtTYF75NezDOCzz42I4svLy+p2u7pz545efvllFYtF/eIXv1AymVSxWLSclEjS7XaVy+WsDBSPx02O5GPD4VCpVMrKb+FwWMViUYVCQXt7e6pUKjp//ry+853vWFTtdDqq1WpaXFy0LjV6dWeR5/PPP2/KD8wPgkD1el1bW1saDof6zne+o1KppOXlZd25c0edTsc6wur1uunXeDzWzs6O+v2+wWgcD22wrVbLoDH8RjQa1crKivb397W3t6fz589rY2NDL730kt5++20dHh5qaWnJEAm6gDweNM5sN/QdHXQi4X2YRCQSMdxOgRwjJYmndYy+TE/zA0Wo1cFAU+uSZF4ZBc1kMgZ1aDHzPcqfpVnAQ18P+zudjkGgZ599VrFYTL/5zW9UqVRUKBRUKBQMllIKWV5eVhAERkqRB/nOFhS4Xq8bzB+NRioWi7p8+bK2tra0srKiQqFgeY3vXvJfiURCf/InfzLTPMm/PGvebDaVSCR04cIFtdttHR4eKp/PK51O69vf/rYxpkQnIjw1UZhsEFMoFDKyCAdM/uY7oi5duqRms6mlpSU9+eSTajQaymazlh/7rjUMbpZGl0uXLqlWq000rlDrB4FtbW1peXlZr7zyirrdrlqtltbX1xWPx62l9ujoSIlEQs8++6yx+745SJKVt0BdBK10Oq2FhQWrZKysrOjrX/+6dnZ2FIlEtLq6aqiUoEKvwOfOWX0hmCiWSqW0vLxsxiLJoh4P7j0T5A8KkM/nbaLQ9nyWCUQiEeVyOYPewNSFhQVbsEwmY5GNXA7H4nPpWQd5BgocDod14cIFtVot3b5926LFxYsXjTyhtANC6HQ62tnZUaFQUD6ftxqldNKkTzSNRqMWFcPhsKrVqkKhkM6dO6fV1VWdO3fO6pGZTEa5XG4iH5Zkv/v6178+0xxXV1cNmWBE5KPpdNrqtzjKfD6ver1u8yUaj8djq4uSk0O24bRpG+31ekau4Dxhx+lCo0QFgYZzgs8gas/C7heLRbVaLZMnlYvhcKiFhQUlk0kjRJeWlvTss8+aLgJ7mUuv19Pu7q45EYwLmYEwYMmZG6TsY489ZgQdv6eJhiYTzzrjYB40zoTBeHAgiIe30N71et1uBIMoaaKlCoKJvIaOIH8fknc8aSqVMoP1+ST5g89b+fn01q1ZBvNDqPF4XEtLSyoWi6bc1H4vXryoYrGoarX6qVZC4BF5EtCXvBWhUmvE+OLx+MS/l5aWtLa2JukkP8ewifysWyQSsVLQWQOmGk4BkoySUDQatVo2eTclJ+TCPJeWliZQElGBCJFMJrW0tGTVAZyxJwBhS8+dO6dEIqF6vT6xFig+EXUWgomgkc1mJ3JArtntdrWysmLPlkqljJfwjfjMiWtNd6TxPPV63SA+DC/rWSgUjNW+cOGC1tfXjSD1m1A8ufS5c1aiKdbu92gCg8hH+LlfUBaI5giE7ZvUfZEeqIRhInQPq4hkCBMj9T/HwcxqrHhCvnzCT9FfknZ2dmzuvskb4cbjca2urmpxcdHgPYIk+qbT6Ynygt/sQI6GkLvdrlH/RDuiM8rDdWYZvoCPsUqTWxkph3FdSDvfz0qUR5mnC/ugiJWVFS0uLloZjhwWGft6ar/fVzqdtk4i3+ZJ7XyW3UV7e3u2Nt6o0CkiNnIiUtbr9Yl6PaTitDx9ZxQlmX6/b/Vu5AlyoHd9ZWVlwiZ8xxKEK9d90DjVWFlUchQiEFCVBcFb+j2dCIKCMALAO/FvyjwIz+djMIz8rXcWvp2QRgIfdSlOzzJ8TyyKx4JKJ1vXuDfzRekReD6fN8HilMjniILZbNZILN9KR3MC0cTv6fSsOXNEcUajkQqFwkzzxIv7Li+ek+v7zf0oIGtJeYwUqNVq2e9hdX2zAHXg5eVllctlK2P4Bnq4DAgc7k0e78m0WYyVXNPLDMcN8qP8hMx5Xi/TTCajxcVFFYtFi9B0Q/kGhqWlJbVaLUOBfiOGJ6SwGXTT6zqBSdKpc5yJYJquiTJ8Y7ivI/JZIgXGSERFQbxx+x090gk05v5ANg8BPdbHkHxU/ixteAiWqOp7gOnGYecQMJG1IBenr9Q7JWh+ng2o5NlE1lk6aVpg7j7K+5/TITMajbS4uDjTHFEqvzsEOXN92jlpegD5QOr5k0Eg1Vg3ZMT8WAPyW5pMPHoh0oAsMEyffkFmzlKLJO0YDAYTveSgJiI2J554EpWAkc1mbXeRJ8noBfAoB7njlHECfl1AfL6MR6Dx1YSz5niqsdJaSH7oOyx8Yuy9AQ/CQqEYvvCMUBl+Z4o3ePKm6cn5XJGF8JEZYmPWTdleOVBiH239ljsILe+pERhMq496fCcXa7VaxqxjuCgoEY7BvbiOj4Ze+WZFENQBiQpEbhTSE4ZEGTiB6YYMTyJOE3rZbNZKGigg5Sg6fUgPuK7fTeU7lnAcoJCzBtEa5+tbT1ljnpvPs8agG+rjBA8PU/32Oa8vOJpUKmUtmdNlRhzDtA6HQiFLPT53zuq3qHkix8NPDMnnByg/n5H0qUXynt17IATENbi+/ztPofNcHrLz97Maqy/cIzgPvYjuCM4/MzmJ31HjI6F3UiilRywwnURKHBCQlXWYRh8oD8X+WeeJHKiJe6Nj7Tz8x6CA9uwkQaasuzd+3+DO3Mh3gfyUSHy/+DSigBDy+njWANmwdqwxP5suJYEICEh0d6Gbnv/wwYqGC+6DkeKIsRtkRwABmVDOpIUWXfvckZUHweCmySYK9kyYiINw+BsEP61800QQAvJQiOeYJrEQMEaOMKfh5CwDsgDCgGuRa+IcfNmDPNXDZu9UEDSG5yMUdD9KSc6EMnFdroE3Run8uoVCoZk7mPD+rK90EiH89jmUGejG/VE+nhXlSyQSKhaLZqCw/jgVzxRjsCg010b+GAXrjaLPAoElaWVlRaVSyUov3jB5Dm8U3NM7JM8leOiMg5VOIjgpznTKgrx9quh/T0ul7+SbZoanx0zHusDgoZSeiUWgJNAoAr9HQYE+/Gw6QjNBD33pifV9odO5Kd89xY8QZh0+x/RGyP3wfF7ZfOMHgzmx4F4R/dynt/EhJKCn/zuMSTo5NXE4HE5Ev9NOF/BjdXXVIhqe3OdTnmDDQWGAvnQ3Go2seYW1wphh7n13Gs0hKCx/w2e5No6OZ/M5pW83PW2cO3duIlKBDj2pRa7darUm0ifk56Go12dkgexwKOjsdI82cgVxIGvu5+fI509j9s+ss5JbeFjJRfGs3isD0zyMwAsTNTx76PO06ZyR+/nSDJ/zbBqf4Tl8PjDLILJQI/UEGffBmLmXZ2p95KApwDsVvzY0EXjPTjRHEbw3RmH4jvKzbuPxWEtLSzPP0ztU1hHD9FGEf/v9m/wbZpicHWbYO3PmQDnCtwviaPzeYOmEI+FnzNWXrM4a2WxWTz31lCqVysRJnMjRpzleR7m+J4bG47H1Avho32q1LE/FgfZ6PWvM93mq52e4t5cdTghHdFqQOfMoUhbSQzyi4PSE+e7hA4oxjflRYLz7dE4KUeNzV+7B/b1x4+U94TUrG+wJJc9Ac13qgFzTC5PnQTH9cTXegyIg74xwAN6o/TURXLVanWBcPbSUNDMbvLm5qYsXL36KfPPNADhST2BJJ+iDBgwYUPpvJU3IcpoE4544f4zDVw9Go+MdSb7O6vPMWerJoVBI6+vrikaj2traMmP3BCU66qEyzyqdGGaj0ZjgF1gH7uNZZOaWy+WMUGPuyB1jZw09KuNnp6Vup4aee/fumRB83urJEwgDOpUgffAYPCyL4+Glx+r3I5IwXDYzEzkZGASLWSgU7GeSZvLEkmwR/Ql/XnkRHmUo6aSRgs9RiiEH9adrEG39Tg3W1W+6v1+e7evYPhfyRNaskL9Wq9mWPBzKtCL72iTrSDRhfzEN6Oy0SqVSdqAa12m1WiqXy8aCg1w4Y4s543h8qY3vPu+TNNNWQH+KIE4WPUKHfV0V1OZTksFgMHH2tN8oQVcazSPIKAgCkzFynYbXrKuvcPjSDmnYg8apUr5x44YuXLhgC+sjjfd0nqYeDodqNBoGe+nkYIF8PoCR+SjFZPDS/vO+YO+jJhMGTk4L/6zBYhM9p5lsn8fwzBgrgkU4bPHDALxDkU4YVp4TI2dtUCC/rsyHZ0HBuP6sJzmurKyo0WhYuYjreWSBU0CW0uTeTZxWs9nU66+/rmw2qx/84Ad6+umn7e/YH/v222/rxz/+sZaXl1UqlSZSBA+ZUdz71fB92nRaWYNB2Yx5eR2AiZ8OPDiEfr9vbYcw2l4HMT5SP48AGTglnLUkuz5fyA+b8qnDaQHm1Mi6s7Nj3pQFRFnw+BAGHDGCF/LNDeFw2Ho1x+Pjo084RtQeJBSyyIXX811JfNYf4OVzaD7r89hZ2WDPSGNYwBavJH6uzJ2DyCVZw3cul1M6nVahUNDi4uIE6+fhFEbJuVNARSIOHt8314NyWEvy5FnG888/ryeffNL+j4ISZT3DzrrQw+0PGy+VSqrX61pcXFSz2dStW7fU6XSUSqUUjUa1v7+vzc1NlUol7ezsmD4Aaf1xJp5cIqcH/vqNED73O2389re/tZ1EOCUfxX3KBFmIPGl6AMFxBMt4fNzRtLS0ZEYYiURUKBTMANEHdvFwcAJBw6MVfyqlr7Z4KH6/cWpk3dvbU6lUspPQYfE8fPKGjKfw+Vo4HLajWNgSFolEVCwWlUwmdXh4aIKIxWIG1ahBAUM5lIuCM2UEDwl9HfSzDB/5uAZz4Nmmoy01QHIVX4K5evWq6vW6Ll++rCeeeMIEzt8cHByo2+1qdXXVBEZuxftwfMMCRAbHpfAsn5VIu3DhgvL5vD766CPL1ZiLRzeSTLbAPm/Mh4eHarVaeumll9Tv95XJZFSpVBSNRq0r6/HHH9cTTzyhVqulra0t+1tJFsEymcwE2eL5AfgOP79ZIuvf/u3f6t1339X3v/9922XkiUfPdXiHx4mOPA/rw9E7zz33nIrFokF86ThwbG1taW9vTy+//LI5PtKMWq1m7aUEMZ+2MUfPU3zuA9Pq9br29vbM43us7UkY8gHCOCwhD9Lv93V4eGgQBc9Hgz9/R15EPuAhCsrLZz1zOR1JPcyaZWDwlH8wCJ+3+QWVZIfCeVjLTpxaraadnR2FQiHbvF0oFNTpdHTv3j3duXPHyiW08Hml8qSZr835Eg5KFgSBDg8PZ5pnpVKZUFyiu+82m+5ThcHHcUEQ9ft9VSoV5XI5I7iOjo6swYD+YfYFc/4ReoHzYf3RKU8+MU+c0ixpTbPZ1JtvvqkrV65oY2NDP/jBD7S+vm5rCZHlCT1/L3iV0Wik3d1d9Xo9FQoFO6uJ7qZut6uPPvpI+/v7Go/H2t7etgMQ0um01en9weeUMT2RNW2sp6HBM+usPDCGxkW5sYduwBzP1gLbvBfHKDgOJAgCO0WBw67x9NP5H7twGJ6U8PfypZ+zRjqdVq1WszybxfW7hFAaoCERmDyV8kWv19Pa2pqhEQ+/IMo4wrPb7RoEY/cGBuE7unx+56FgKBRSrVbTP/7jP+pHP/rRmfPkHTbRaNRqkT63QpmBnxit363j69Gw1I1Gw7qS0um0IpGI1XO9U2FnDQgDGaHI08SeT0HOUmS/JtRSb9y4od3dXT399NMTxul5EnZ/NZvNiZ+jC8Ph0F7HgcxjsZg6nY4ajYZtosAOSFsymYw9v89FkWG73f6UE6b8+KBxZumGs4L8O0I8q0U494aKl5Q0wXT6AjO5Cx4PRQYmT9f6PNNIvQovhWJ5oussZs2Pf/mXf1E8Htfi4qKVRKYZZQ8TMShP0ftdNN1u1/JXtrp1u11VKhU1m80JaM38gL8Ii3l4Qo+UACfINsUPP/xwpnlKsiMxeV7WFObVkx7j8XiCHPF5J/LnNSPR6PFrC1dXVydOnfToBHjpG0F4Br91jtMzfB0YGZw1PKTudDoT+uu3KUonR9qwe4iGFa9Lvnl/OBzq4OBgAj4jL57Xozzfjuhzbo8W0AFy9tPGqb+Nx+NGEpw/f95OHwSyTUM0mDIvBF/3JAeSjml4GEYaA7xSSJp4Qx1J/HRJBS/qTzHwSjjL+OlPf6pXXnlFf/7nfz7RIRQKhWwzMXP2SALyy0dwhE/u4nMvhIZD8selYADTubMnWHBewDjqurMSTL/61a/0rW99y+aDw6GlUDo5NZI2UlAPsI41DoWOX6kBQqhUKrp165b9HRGYA898d5ovr6EX90NgPprO6nhJjfj37u6urRHlJd+Vx5woL6E/rD/zQ1chAv1phejpcDi063ljZR44Kq8LXt98L8H9xpmbz7vdrm7fvq0//MM/NI9J/kH5xtepiILTuZdfRGqLMIuhUMg25+JJuT45kvc60615fmuRF/CsbHCj0dDNmzfVarWUzWYNotGl47fc4Y2ZG/clkviUgHUCQfiTFRAUJJUkKxWAWCDS/J5OT2JIMjg7y/jZz36mX//61wqHw/rrv/5rexbWzDdaeFbcdzwxJ9YFJ808KpWKMeDeCZO6TB/REoudvGQYp4bDZo14llly1mmZl0olNZtNY3lBZXw2HD7ZMeN1yJcnCVCcPNlsNm3OvkmCoIGhsnasBXrv2xRZS4z0cxsrf/zxxx/r4ODAzkXyr9PzHpAboXC+z5f9kX7LF96r3W4rl8tNPDT5E57Qb5+jTCBNbueSJrfkzWqskrS1taXDw0OtrKwYK4jg8Hw+/0RpUTKMF4WWjvPVWq1mR4vyKgyfPhCJfD+ybxzxNVRvNKxTtVqdeY7tdlvXr19XuVzWX/zFX2hxcVGdTkeZTGZiz7JvpfRlCc8v+HLDYDDQ4uKiNjY2FASBNUJwPUpcnpAEIo9GI2vqZ87kkj6dISKfNXxTy3A4tFeAwJFQGsIQfVDxh/MB8X1jA6kQpTZybV9aa7fb9m/SQ0/m+aCFc/RO6HOfbgiO3t3d1dWrV/X4449PeGM8v/fGkqzjBgjENiDfsSIdOwJOSuRe+XzersM9eF0FRt7v9+1gMYwHIXF9POMsIwiOm7q3t7f1/PPPazgcqtls2hYyny966p35A8FpEAdKotjkluSAGCcpg0cCHgricHAUXvDSsaMqlUqfaZ7D4XFj+e9+9zttbGwYF4ED9t4e6BoOnxzNw+ZxTvbjBVIgB66HTIgg7AzCKEEejGlD9FUHXw2YdWAcrVZLm5ubevHFFw32E2g8ogG+FgoFCwhEY+Q8Ho+1trZm9dfRaGRH67J2oIRms2nBxnMToEXp5I3pOMUgCFQulx84pzONFSLg2rVrevnll+0MIZSMqOIbsDm9nwl55YOgABZR5qEUgkBZMHbfo1BAST7vvSjPzHVnFS6LdeXKFX3/+9+3BaV90JMdKBDMtIe2EEk+HwEKei/qjYt8EKc3LVxSCx9RiTi9Xu8zRVaMPx6P6/e//73+8i//0rw/a4exedYTAqlSqWhvb88UDDl7Bh1F9BwCaCKVSung4MDOKOK0wVarpYWFhQkiUTo5FAA5z7IVcBpGjkYjvfvuu3rttdfsAHYgaTgctucdjY6PH6VOTCcTfAI937TU+ggIEuMzm5ubCoVCdlD9U089ZejEy5DnxY742weNM3EFD3z37l39/ve/14ULF8zguDkeNBQ63lvJC4g4vRwYS4ShAO3xPN0eKJSHB7FYTIuLi8rn81ZaoHiMARG1vQHPGnGIeP/6r/+qRqPxqXeVYhh+B4gvK0EqAQ/pHaV8gfH5Yj8RyX8mnU7bIV3nzp2zCO0V0DPxtVpNpVJpplzOj2g0qp2dHWtW8Y7FEyvRaFT1el0ffvihvXun2WzaW+05Vd/ne0QvyDNkE4vFrCbJm/fOnz9vR754R+WjjedG6Pk9bUwbazwe1507d3T79m2trq5aRMXgmHetVtPVq1ctMJRKJYPF9Xrd6sW+oYFA40tOpEf5fN5QIZsTfPDia9oZncbsnxlZPZP1xhtv6MUXX5w4scATDdRjeUUjr9Db2dlRo9EwhWU3A4uL0SMUMD+5z8LCgkEPr0x+Rw/P6p971p5ZHEOj0dA777yjP/uzP7OI40tS5Jjco1wu6969e3a6PBCz0+moWq2qUqlYXs/6IGAaETB8v0GAji1guE87fP1xa2vLap2zDpxvvV7X9evX9e1vf9uciGcjcVDlclmlUknRaFSPPfbYxBvlaLcD5vr3xtA66kt5tPZ5cqbb7dp50N5J8yzIcDw+flnZWQNo6Z19JBLRL37xC/3BH/yBMfE+P8ex9vt9FYtFra6u2jt6SNWAtmwF5FlJH+Ahcrmczp07Z0EF+Ew6M01Keb0l3XzQONVYfX1Mkm7duqX33ntPS0tL1qHi2VpOfuOg71wup/X1dXtnDdBiYWHBoBZGi/ICG2Hh8vm8vRTJ113pLyX/k05gE4KatSmCBcvlcvrlL3+p733vexN5oq+J8vlOp6OtrS19/PHHBoHx0hglB2fzXP40CoQci8XsJD3gmWcGPSOK0hN9Njc3VavVZo6s3qij0ajee+89vfjii1aWwVmSq4IWCoWClpeXdf78eYO/RFQ+5/M7nIzfjUUvONCT2qdXfAwTuflyxmAw0NbW1kxzhAjynV4ffPCB3nnnHX33u981lh+ZELE5Apa3BBweHurw8NDm1Ww21Ww2LVhg7Ol02o6Q5TRE0BV6Xq/XjVX2qQ5fvV7PXs3yoHGmsQJxpWNS4K233tILL7ygYrFoP2Nx+RzGyGJwMDav1vOKgFcHXkDQ+Ffl+UniFYHXRFdpMl/1G49nHZFIRNvb2/rggw/0R3/0R9b366MD18YT5/N5LS8vK5FITLyiHgLKN61Lst1BzJFWRMg4v43OR2WUDodFZDyrNucH68P3q1ev2iFqOBifm/MairW1NTsrOJvN2is0OPgcsgmIiZPyr5TkpAZKF+zcwRC8jrFOHkl0u11du3btzDmyFp6Ek46N+Ne//rVeeukl6zryDC3lQ543Eono4sWL1uTRbrcNCuNkQAm8mcFXICKR42NnQVm1Ws2QJvoOCTocHr/jtVKpnIqSZj77hLzu448/1rVr1/T4449P3JAFkTTBhkonOSc1TOqL7XZ7IvL484epx5HLeCYU6Ou7bnxuR6SYheqfHsPhUK+//rouX7480XwO3AcB0Cq4uLioQqFgb3WnQQCSAtIJxeNMWd7MRrshEZzXO6AUnqjxpaIbN27o1q1bMxsq1wB1BEGgu3fv6saNG1paWrLn83LjBdg4TumkVObfMuBLFSAiTzz6Gi7oA+fHXMn9gKXAaxzU/v7+TJ1azG861x+NRrp+/bpu3LihYrFoKRX6OxqN7Jxrng8Syr8KlL52f7xPLBYzVCmdIAMfPGjN9ekO+gbKePLJJ089oufMpggmzGJ3Oh1du3ZNr7766kTPqG/Clk7ODvLnLflzeTgEmZdNAX/9IvtogvDwxMCd6TZAIIhvHJhl+LziypUr+t3vfqfvfve7BndwFL44z3t7/DmyvExqurThIaaHsqyfrxd7hpA5eacVBIHeeecdI25mHT6Pg9D4p3/6J73wwgumJMiCZ4T19s/u206Bh9Vq1YyOFInoON0nLsl4AN/lQy7rG2NAT2+99Za9euKsOfro5tFVrVbTu+++q29+85vG0KOjwHP//hlkJh0752q1qqOjIzUaDXO6nBVNLV46qYeTJpCq0WOADZCzY8T9ft/eyXu/ceaJ/B5XI+StrS3t7++rWCwate29GQvOpGHfvMJBSpDv4FGBviipz1O5j2cL+fd0OWQ0Gp263WhawL4A32w29Q//8A+6fPmy7aDwjou/YWM90Jy5Yvj8DOcB64fich3p5FhXhEgdljn6ui7Ej2chP8s8GfF4XG+99Za92Nj3cMfjcdtt4mVL2oIzqtfrOjo6sjOPYrGYvZ4SGOyREfeAqIvH4xPsO+vmGwru3r2rN998cyYOwusC1/O6ce3aNdXrdWs9pP6NE/L7peFkOp2OyuWy9vf3Va1WJ950uLCwYKmab/qBTPXrjuPg2r6qQqXkc9dZvcEgROl4n+v169f1ta99zbwXD+gL4XzeCwrWtdlsqlwum2fBE+OZgUR4ea9kCIDitt/NT/QlKswyPCMnHcP2K1eu6Fe/+pX+6q/+aqL1DS/pe12ntwoS3avVqvb29qxFDbKFN+r5t8LBPPvNDt45sJ7k+RsbG5Zjz0qkcS/vfHu9nn7+859btKH9LxI53ggOi8+zIUufp0IqUa5B+Vh/z+Czlvfr3MIpeP3p9/t6++23tb29PZNjIkW632dDoZBu3bqlo6Mj4xkwIP7tkRvXwlkWCoWJzwGRp8+hYm3RES9f5gfMHgwG1idPU9CDxmdK6vwCPPXUUxa+vVGwXxGD4TuCRVAQTL5uiTKi2JAdRD1Pxfv+UhbBGyoGNMvwz4+AUqmU/v7v/16XL1/Wq6++OrGDAgdClwvPIJ203zWbTR0dHalcLhvU983qGADKgaFPRzGfR/rPFQoF/emf/qn29/f15ptvzjRP7/RwwrHY8Ttn33jjDb322mv2DDgitu75chnrQKoBywvC8G9skzTRu+3TDT+v6Yjoe61v3bo10/z4W6+nHrEEQaCDgwNtb2/r0qVLttbT3Vc80zRJRTnKpxJexzyi8pUEdMwHnF6vp3q9bggKzsZ3dU2PM/ezsog+b9zY2NDzzz+vzc1N86B8DqEhAOlEWCzaeHzycmV+Tj3KC9HDJp5BmtxritHybL7LZNaSht8lgnDC4bDB4Y2NjYnDuiDEEITPUXxdMJVKaWVlZcLZcPQNBu+V2LPa9/u5d0o0Uzz55JN67rnnZpqnJwJ9Q0coFNLPf/5zfetb39L58+dtjWF1/bY973D8MwHJveMD+fg5gE6muQaew+sZmxRm3VXEYO08DOb+sVhMW1tbFr29DCE4+d1wOLSNCP7lYqcFASImOsRaose+id+XKQlap137VCpxmo4OguNG5R/+8IdKpVK6efOmnSSBV2FC3mBYPF8kh0VEeT2MAvv7+2OsfGfyCAfv7xuvZ83nUDbPhOIV33//fX300UcmbCJdLpczA2bxfYM7gqGnlu6k6fdyEqH4t28O8A7K5zeDwcBIrNu3bxsE+yxzxSgwklu3bunq1asTTgLShO6b6XX3ikXawfNhpF6PfEmKz3s21tfdPUra2Niw43HOGl5PWDfvKPL5vF544QVrYmGOvisN4s4TQawDsHe69s663u8ZvSNCjvSUTwe20+qswazRZz7mYz6+3DF7kW4+5mM+vtQxN9b5mI9HZMyNdT7m4xEZc2Odj/l4RMbcWOdjPh6RMTfW+ZiPR2T8f/P0ALyB6KJfAAAAAElFTkSuQmCC\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Cluster 7\n" ] }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Cluster 8\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Cluster 9\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Cluster 10\n" ] }, { "data": { "image/png": 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468YHYzCFSrdAwKAS79QmABKDmDPz/SiKBJBQWeiiVMACXHDgJDHongFIZSXLMhEe83R1Y1mNuSmKpuCoGGxsCMNQYixwWWwhaUNmTQ0zaZoK+UMemkJku5NaJlTXQSKE+6g2IFCJVY9AxvDW1SQunNpIywrDcC0eAljrzVI/y8mQW+52u2udGExJKpUK6vU6zs7O4DiO3I8CJOLmtbwvK1EqZchx064OumRaG9Et2SRaHoGl2peltuVQQebzOZbLJZrN5hripiHQCGgAKmWronTg0rtFUSRr5f3e1wv2zto+JFy1dku+dTabIQxDmQQXrWqSWrtN0xRhGAp4omXy/o7jIM9zieVqjZOukLmfaZrillmXZolSjaU/RMAkaSqVinw+iiJp8ONL3UhyBKoSr1YrIYJo+cQcXA/JHio2AFmb2pRH0MrPMUZTqSuVClqt1gcF/EEXrWorc1RN0yT+Mm8k9cafagsNc1MAODs7g2VZmM1mACACXSwWsnEsGqjsD+OO2h/Gyg+VjS6Nm+267o0EnGWZsEP0TgxDVBzSglRKChaAhAcqP+nIMAzheZ7k1PR+KkjrdDripqmQtFR6EbUEy8od9+BDdOy1Ao7jWNIgxl66mas9UMBlHKP7IYe9XC6RZRnG4zGGw6FwsFxQEAQ4OjoSgp6hgPdUARoBH3NBVmeoCBxJkmB3d/dGAg7DELZtC/XH72EMv7qJKlhUhU2+nLHy4OAAi8UCuq5jPB6LYKMowsHBAXRdR6fTWQOeKoagB+E6mRdTgU5PT1Gv128vYG5cq9WS1hs1hSEooItQC9RqB0aSJNIM8PLlSzSbTamlsp56fn6Ora0toTlpFUzyqb2cE90+iRQViaus000GuXXgsqebXuNqS60aO/ldJHSACw/09u1bmKaJly9fSvXr+PhYBBSGIebzOR49eiTr475etVqmhkT3RPxXmxpvJWAVyqsNaeSSab10zaq10aVqmgbXdTGZTDCbzXB4eChAhC6QdeZKpYJ2uy2UpoqEmZPTNVO7SWUCl9bONlZuxocGN9GyLMESKkJWOWS1iUB1zSR9BoMBvvrqKxwfH4tyvH79WhoDmc6xiMJyLHN4rpugivm9WmZkBwyzmFs33ZGNCoJACugEBAQ4nDgXTkFQ4JZlYWdnB7/61a/w5Zdf4smTJzAMA51OR1ItkheWZWF/fx+9Xm+t+UzteaK1ME8kTgAg9WSVA77JIDhS69LEHQRJtGB1ndxs4LJQPxgM8Lvf/Q5//vOfcXh4iCdPngjjtVqtMJ1OkSQJnj17hsePH4uLpadTMQSFrNa+SYAws+C8biVgWiaPULDTgHSkWihnTsbJApeJveu6+Pzzz9Fut7G7u4ssy+SnruuYTqeI4xgbGxvSQcIYRKClCpmkPjdcVQbf92EYBjzPw/Hx8Y0EXJal1LYdx5G1q/tAodL1UxB038wKiqKAbdv45S9/ie3tbQyHQ9i2Ld7m/PwcQRCg3+/LOq9W15g3qzwEZUFqlN+rpqo/WMAAhLFit4ba06sumhpGkEAroKuO4xiWZeHx48cIggC9Xk9cLbleLi4IAkGWasuOGn+5cLpBIlRqO4HdTQa9UBRFCMMQrVZrDUtwPbQsrlVtGyKg5PyXyyUqlYrUismIfXdeCmEYSrrHwgTjP88n0aK5l8vlEovF4h0Z/KO4aG76crkUeM7BL1eRH2MVKUyWwbIsg+d5ME0TvV4PvV5PBGvbNk5OTpAkCZbLJZIkkfjCrgZuHsGGutF0W0EQCFC5iqqvGyrJQTBHt6ySGfxOInkKhEpKa6RbZb8YOyBZcmUjIpWAYI4pKVukaMXch9lstgbmOK9bW3AQBMJYqUiOmgdA3CMFDEDAEzWQwKgsSynFdbtdKSRYloWyLDEej+F5nrgo4MJC1TxbJRXU8EBigrn6VXL/usF0D7hohbVtW+Kv2gzPkKB6LZ7uI5KngvNEIgBhxNI0lXSJTQu8H2O/OifgEjiyzZYKr4aKW4Os0WgkLaVFcdEpyOIzrZeghtUgdibQPRMdMses1WpIkgRv3rxBq9VCEAQ4Pj6WuqfneSI05uEA1oAbN4B/q0c/2Ah4kxSCgxbL/J7hRK1wMUyoYIgYg3O5ikNOTk5wdnaGxWIhCv327VvEcSwASxUQww8VQDUaAkt+l1qNu7WLns/nUuQncJlOp/Ll6klDFRioRzvVPDnPc3zzzTc4OTnBZDJBp9NBkiQ4Pz9HnufY399Hv99fQ7AUAPNH0ntqpYbvU9PpGW4qZCoS7xnHsRTluYmcCwEe4yK/j4QL+8MPDg5wdnYm4YL4ZDQayQmOFy9eoNvtArjs2WLaxcyEOTItmG4cWAd9txJwHMdYLBZSyGfFhwCBIIMxg9aqEuWcnOd5+Pbbb/HmzRtEUQRN0/Dtt99KM/jZ2RkODw/x2Wef4dGjR+IWeW9aFl21GvdV7nmxWIjLu2kMns1mkrJx3WxDYn6uondy4kzZxuMxjo6OEEURRqMRvvnmG8xmMzx8+FCQ/WAwQKfTQZqmOD09xddff42iKLC/v49ut/tO+kmlolUTYNKjqeDv1i6ai2eHAbsVeNyS/buGYUg5kdBf13Xp2ic196c//QlpmmJnZwfAhQZubW3BdV3EcYxXr17JCYoHDx7Add21jkGVZFCFSy/BnP2mguWYz+cwDEPwhuqq6RLr9bqAQhbaGVP/8pe/CDIejUbwPE/SyW63u9btSSLH8zzM53OkaYrBYCBomuCQa6Jn9H3/veuiwn/f+KCA2ezNznymAQCkokPXqMbE+XyOV69e4fXr16LVURRJI16eX5yvIaLe3NzE0dERvv76a+R5jpOTEzx8+BCffPKJnCigG1Pjk1rkH41Ga+Dqpi66Wq1K/bbX66FarYqicm1ULm4mPVYcx3j48CFevHgh1k336jiOYAmWAz3Pw5MnT6Ri5rqueEK1Tk4FYorp+/4a/qB3U1m2WwmYOSWFzMWx/qp+IXCZpI/HY8RxLIiU5a1arSZWScA1Ho+xu7uLRqOByWSCZrMpG6JSge/jgYm2ye8S+X4IfKij2WwKlcrWGB4FZQMdlUZNzxzHwe7urrBys9kMnnfxGEp2g1BBGo2GCN2yLEkdNzc3Ua1WMZ1OEQTBGlPG1Iu89NWs4B/NRQMQTnc6nYr18QQBcz7mZGpfVqvVwoMHD+QUAifLB7iwQY5gjFUYAh0qUxAEa2kTG9nownRdRxzHmM/n8H1/zaXf1FVzTizSUymJlNUWHa6V3ovulyCPNCIBE+dBMMhUhzQuw5la1FC7U5IkwXQ6FUslqFLTqFsLmB8mm8XaJs8osR4MXNKTpDM7nY50AfJ9ajSL+xxqXxIZJB7BHI1GcspBjU8qaqcbBLDGS9/UgsuylFMbk8lE5sZiRVEU0rCgNuSZpin1X4amsrw43jKdTjGbzeQoKnAB3ti9wfNEBFBMj/hdpIfJinFtKotGBb61i1aTaaYEnudJ0x0JDSJA9XMqQOCkSQVykmqPL3Ch6WysZ65JRExFoWXwRaTPrg+Cjh8CtGiR3W4X0+lUzjwz1l8tkxJVAxc0Jxk0zrXZbCIIAonjNIhWqyXHZtlKq1bH2PPGmEtAyzlSwFcpShV8/mABXx2MB2w6A7DWr0S3Rs6ULrwsS0ynU0wmE3FTtLaiKMRi6f7VVhlVw1WqkpvB5jW1xYVKeZPB61qtFvL84tCbaZprJwLJwjEOsgLGcFOr1cTVm6aJbrcrCk0BcJ/oGTh3AiqmXezFZt7LYgW9G3+qGOhWAlY/rKLT2Wwmm8JckUCqWq3Ctm2UZYnFYrF26n1jYwPAJZXJzgQ+4YZWA1w2G1CgRLLcEHZ10HrZUwVcxt6bumi1NZenA4fDIbIsk1Yb3o+FARIOVC6mkXTdau6sPqqBbpeAimU/7jF7r8joqQ2IxC0MUyoZdCsBqxrCm3U6HUwmE6EimfuSDAEurJz8MgEET8VtbW2tdUNys9jzREulgAla1OK62srCypTneWuFgR8y1J4zy7LQ7XYxHA5xeHiIjY0NtFot6YTkT3oM5q/qGSGib4Yqx3EEo6hNjBQokTmLLfP5XM4sUUk2Nzfx9u3btWxCbbK4tYB5M2oZ3QXBBXCRNrHjgxZIOo9/0zq4ARSm6m4oOMaisrxok71axeE1TB1qtZrUq5Pk8j85uamw2QdGAfBUPh8j6Ps+2u02Wq2WeBkKjW28jM0kS1TemkJVy5xcEwBxx9PpVOrF7XYbrutiNpvh6OgIn3/+uVSlrj7h77rxQRdNAfC0HxEyH8BCoVOrae1013y+Bl28WhKju1MXS8Eyb1SfdkP35vu+dGH2+30ptfF8Le9xUxdtWdYaZ16tVuG6Lvr9Po6OjuT5It1uVxRNdcdUZpV0oHVebVQg6OK5I5ZTx+MxDg8PpQGQ3ZZUXs/z8ODBA4nLaoPArZksgiPbtvHo0SNBqbVaDdvb2zg4OMDJyYkcgiLdR9dB62W+qHZGqPVUteUHuDz0puu6sEVsOuBDSIMgwM7OjngFniPudrvCaN3UgqlIVAoCxXa7LQ875aMb5vM59vb2UJblWhM/kTIBqGrBvDc9D3uz2GB3fn6O169fS2jjQ1voFfr9Po6Pj/Hb3/5W9pKZBe93KwFzoY8ePZL4wANdlmVhe3sbr169wtnZmQAA9SSdapVqO63amqI2DFCbWc/lBpDIUHNLnt0l25VlGYbDIR49eiQPgrkufVCH2rBPj8X8dWNjQ+Y4Go3WukHJm3e7XWHPuG9E9FR8Nd8lQKQnYgHGtm10u130+3058gJAXDNrAGys51nhW6PoPL84yDwYDPDy5UvU63UpFLCHeWdnB2/evMFwOBSyQVUCxtHZbCYnGKjdalsPN1dt8ia7NZ1OcXp6Ko/U5cNN1OdI1ut1nJ6eYjAYYHNzE6enpzcWMO9B4XDObIjnKX52pcxmM2RZhtlshl6vJ8/g4HpURE8GTq1EMX2azWZSnLAsSx4ew1SRc2NI8H1fQgJZQTJs3zfu/9eVOz7un/h+x8e9gO/4uBfwHR/3Ar7j417Ad3zcC/iOj/8DI7qNtSfRHTwAAAAASUVORK5CYII=\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Cluster 11\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Cluster 12\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Cluster 13\n" ] }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Cluster 14\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Cluster 15\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Cluster 16\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Cluster 17\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Cluster 18\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Cluster 19\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Cluster 20\n" ] }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Cluster 21\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Cluster 22\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Cluster 23\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Cluster 24\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Cluster 25\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Cluster 26\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Cluster 27\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Cluster 28\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Cluster 29\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Cluster 30\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Cluster 31\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Cluster 32\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Cluster 33\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Cluster 34\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Cluster 35\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Cluster 36\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Cluster 37\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Cluster 38\n" ] }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Cluster 39\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Cluster 40\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Cluster 41\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Cluster 42\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Cluster 43\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Cluster 44\n" ] }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Cluster 45\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Cluster 46\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Cluster 47\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Cluster 48\n" ] }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Cluster 49\n" ] }, { "data": { "image/png": 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7u7sHAy6EgOd5+OGHH35Tl8t9MTL72dlZJh7yeRgCRt2YarXKc20ybwpSNBujURAt6qjQQIHuU+whwkTfTdMUv/zyy+OVuh9w4to//fQT3n///YkCgQbvJHVqJdOLSUBENanxSD5I2iUN0YSTRsEUPGUhk4tQDxB42P0FMHEeJ4oifPPNN/joo48OBlwIgW63i7t372J5eRlxHHOpSvxbbv9S4CMuTVpoNBrsu3LtTOCpsUC/IbciP6a9yCYthOAmiNwRLooCOzs7uHHjxsE0rqoq8jxHv9/H1atXcfz4cZYmAJ6eyJKWWRPVxzRno7JRthQCQX4vj3dJoBRX5La2vD96L4FO0xTXrl3DcPj4Y+9/6GRjGIb4/vvv4bou+60cmSn35nnOpxhoM/K/Za2FYfibpsbeiooIjdzkoNohTdOJUxdEq8fjMVzXxbVr1w4+LaVNqaqKbreL+/fvY2VlhSsg4GF7Rw5o1CGhwCYDoUBE/g884AiNRmMiegMPgxSZMOVqyiTkdsTP6dTGlStXsLW1dfAihfz0woULWFxc5EM+FHSo/Ux+S02IOI6Z51cqFR44BkHA5+OAB5ZEv6McL2cDsiL6jWVZnLrImkjgvu8jiiLs7Ozg2rVrPHA8EHAAePfdd/HKK6/g5s2b2NrawsmTJ7lEpY3SzJxaUHSEQ1EU5s50UIfig1xrU2FCJkwUlNIZaZ3MPIqiiQYnHUXzfR+XL1/GYDDYV9u/C/y9997D22+/jZs3b2J1dRWdTgftdhv3799nU6Ug5fs+py0CQa5CF9FVOWKXZclajKKIu6fyoIJyNMUEz/OY3IzHY4RhiDzPsba2hrW1NU7DBwb+4Ycf4ssvv8Tt27fR7/d5GN9sNrG6usrnzQCwj9F8jEpO0mKaplykUASX0x5Vb0Re9mqMqCiVrHIrOwgCtFotPqQkT34OBFzTNFy/fh2e5zEPpjMxrVYLGxsb3Pij1EIaIB8k04yiiMdFwENqKc/nxuMxRqMRHygAHsYZOgOT5zk/g/xa13V0Oh12AXmM/Lj1/H8hHbb1HPhhW8+BH7Z1aIH/L9VwXI5uL3KIAAAAAElFTkSuQmCC\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Cluster 50\n" ] }, { "data": { "image/png": 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QBLhx4wbG4zGOjo4wGo02A84QJYjBYCDanKAuHh+xS2LYMs9JQjQAZSv7a46nSUxME144oCGappGOUBdDNBgboocPH+LGjRubA+d5eNM0GAwGePLkyVrZ0T1lGIaUMxIcjUNioxf1OT3Lln79i1HEuTrnAMPhEGEYinH0w4Vvv/0WvV4P7733Hvr9PiaTyWbASQ487knT9EcVFmuzfk7NvNaPkvTUoFQF1ic9FwkOgExctre3pTTyNIZetywLx8fH8DwP77zzDvb29vDJJ59sBpyWpmQcj8drB3n6TUY2HgRBUcMaTPIhwfEWE+s9z8b1e2+Uw5zEMm0oXfVIo3g6Pj5GHMfo9XqbXwygpznnTpJEchtYH+jpp6au666Ngig72UDwXJ3geCVMPznlJcIwDOF5nqSDfvJK41PQ8A4rK9Hx8fFPYnv1v5Cu2noF/KqtV8Cv2rqywP8HoNk9sXIT9A0AAAAASUVORK5CYII=\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Cluster 51\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Cluster 52\n" ] }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Cluster 53\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Cluster 54\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Cluster 55\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Cluster 56\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Cluster 57\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Cluster 58\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Cluster 59\n" ] }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Cluster 60\n" ] }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Cluster 61\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Cluster 62\n" ] }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Cluster 63\n" ] }, { "data": { "image/png": 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xhc7Jo0ePePr0KXmes7Ozo7X37OyMarVKFEXq3kmS0Ov12Nra4tmzZ3zve98jjmNGo5F+R7qfkrVlo8VYocrCzb/6fJcyPMsygiDA933N5svlUt11sVho3E+nU4Ig4MmTJyyXSyqVCnme64CAKCrCvOA5nZxMJuq2jx49wjAMxuOx1vAwDLVlNRwOtfSJB4hby3vxJpG+L2W4lBPB6NLXkjbvbDZjMBho5hUZGMC2bZbLpXJrqfVSdy3LIk1ToigiCALq9Tp3796lXq9jWZYqLKIFyCkul0tFdVKzJZt/FTAJZ3hpwyVGZPfK5fIFyNjr9Tg6OtLsnqYp/X5fTyVJEkVcq9VKPUEIBaCKqAwczOdzTNPk9PRU3b1arTIYDGi326rhSeISyCqeJ4zvq6XupQyX+A2CQEvYarViMpmQJAnD4VD72SI8SHLyfV+zcrlc1vayxKSUQ9kUieFyuayfCfoTxVQESdd1dePEnSXZZlmG7/s6KHApw0Uq7na7HB8fa9wuFguCIGA4HHJycqKNPGFqkujExaWDOZ/PNf6kxkq5E5YmxEWwuOSGIAioVqtkWUar1dJEuVqtLuAMSbSC3y9luAiHo9GIBw8eqCAwnU7pdrvaBRUefHJygud5GlvS855Op9i2jeu6F4Z3sixTKfq8zibqyXw+ZzabqXAhQwi2bWupXK1WlMtl9Z4sy5jNZozH4/8bSREDjo+POTg4YGNjg+l0yvHxMbPZTOPVcRzSNMVxHFqtlr5fW1uj0+kow7IsSxPYcrkkyzJc19WGv3DqxWJBr9cjDEN6vR7T6VSR3MOHD/V+URTRarXwfV8zfL/fZzQaXf7EgyDQzJkkiWbsKIp0TqVSqVAqldje3qZSqag2J5hZxP3NzU2dg6tWq+R5znQ6Ve+Qcim1V+ZZoiji4OCA/f19BoMBxWLxwsiJzLwMBgOluOPxmPF4fPkYF3eR12w24/DwkE6no/E2m81YW1vjzp07VKtVZUsCMERREVVWkpL049I0vTCaZZqmeoaMiAAKikTo7Pf7lEol5vO5joDJpESv12M0Gl2+P762toZhGAwGA4IgwHVdTWznp5fK5bKqMiL7yBiYyErdbvdC8hIGJWhMYKbIXPKz9OEajQbPnj0jDEMqlcqFkzYMg7W1NYIg0KTr+/7lm4YiQsjui1seHR3heZ4a4rqufk+WaZr4vq8ARSYeRImViUmRm9vttjI4QWDiDaLESpKTDH5+9HM6nWolkIO5tBAhWVaoovS/ZCZFCIMM3oVheAFXR1GksSYEQrKvEI9Go6EZXsZGZaJSxI3RaESe59RqNQ4PDy8IlRIiAqpkI84f1EsbLp0QoZtSf6XciNHD4ZDxeKzio5y41PRisUgQBEwmE80JAnrkGtVqlTAMFR2KfHx4eKgUVsSFIAgAVApbrVYEQaBanvCDS4uN53tl8mCCzETzlknHx48fE0WRTi65rsvW1hZ5njMej4njmNlsRr/f18b/eTeWeVnpuo7HY6bTKWdnZ+q2IlVLi0i4gPxdEARKjOTZLmW4uKwIDf1+Xzud8OWotIxlSkna3t7GdV1VWL744gudSxGVRLJ8mqY0Gg2dYFwul6xWK4bDIf1+H4Ber6ccQUIsDENFiOKFpmkSBMGF8bA/td78L6TXbb0x/HVbbwx/3dZra/j/AFEpqMZYK6bFAAAAAElFTkSuQmCC\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Cluster 64\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Cluster 65\n" ] }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Cluster 66\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Cluster 67\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Cluster 68\n" ] }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Cluster 69\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Cluster 70\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Cluster 71\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Cluster 72\n" ] }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Cluster 73\n" ] }, { "data": { "image/png": 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MLkgKokxbFAULBfQZAgHgVxSTDPE8D5PJZEVtoZsNRVEwaCpltG1kqZhKHF1Nefz4MX7++WcA4M8DWH+PU7YkJ8iJZbFYrCiv8iGAfOuISpx8Fu77PgORI4PqOyW4crkMwzBW1Bw6Nqbtcnh4yGfh5XKZI4kcvhbw5XLJYUu9tpzV5/M53zAimkqXgqhMqarKZ1zEo4lhyffRaIvQIUG5XEa1WmVSQhcH6B7MZDLBYDDA6ekpJ0Vyukxo1gJOK0BJTr7IRz32bDZjgIZh8IuSIGVoahup/JBxpItTSTRNE9VqlbMybYM4jjEcDtHv9zmbUx0n26ipoQhZ+ySFGn7ZmzQJ8XLP85glEVj6qaoqc/VKpbKioJJQQc6U6668LYjMzGYzHB4eYjKZ8A0Mikb5BEVOrGsfGhJIXdf5ThsNalAqlQqfXhKFpUMHigI6EKAcAbxUSslgMpSaDWo8PM/DcDjEwcEBzs/PObObpslZHcArAa/dpJDBtHLySSbVcuDlLYXFYoHj42MG02w2VyJAvutKWZ0OAcjIV9HW8XiM8/Nzzgn0PFkbkHUBAH9YOaPrGKVSiS/2yHv9cj9OyubZ2RmHOCmz8r3SV4WhLFHTkMvSq+6/ynfl3nT85sUAEvTpsF0GT1mejKNVJELzKoHwt8blS8H0uqyrkw1XPfPK965KAP+fx439HwrvgN+08Q74TRs3Fvj/AhS9BdHnQJcIAAAAAElFTkSuQmCC\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Cluster 74\n" ] }, { "data": { "image/png": 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kvXjxArdu3cLt27dx//59DAYD3LhxA47jYLFYyB77/b4oGxm0IAhQqVTEu8xmM+i6DsuysLOzI0xVLpfDn//8Z1iWBV3XoWkaXNeVWOp5npwjlUoJemeKNplMxJjIO5RKJQGtFxIw3SndztbWltQ1x+OxaO98PpeqTxiGaDQaqFQqkh6wzus4jiBfwzBEGQiaSAowLYvH48hmszg5ORF3Rw42nU5LfByPx1itVlJ5icfjSCQSAnLetI6OjlCpVJDP5/Hq1SvcvHkTtVpNzk+lolLSi/i+j3K5LIUO4hIKjpY7nU7F2mezGQqFglhtNptFMpnEYDCQO2VYi8Viwmd7nif3kEqlhLWLeo+3FrCiKCgWi2i1WhIX6ZoYWwhkTNPEzs6OJPSk3VRVFZ7ZMAxhq1iF0TQNhUJBAFe1WhWajhZKWo4UJfcBQOg+Cth1XcxmMylhnmdVq1X4vo9f/vKXaLVacjaGJC7f9zEej2HbNhRFQa1Wg2VZQvqzGhSPxyUGs4IEnHrE4+PjNZYvCAJx5clkUtguKhXvkQUWcggMRyxKXEjAqqqi0Wjg6dOnop3UvFQqBdd1kc1mJU4BEO40CAKYpoler4cHDx4gCAJcv34diURCGgHoakzTxHw+x8uXL+E4jlRZVquV0H9RwBatFpFRoyBYGx4Oh+Ja37R44a1WS9gxABLjqchBECAejyOdTkNVVVEgRVFg2zba7TYcx8FXvvIVQfb8AiCFlk8++QTXrl0TN83cnh6PpBLPGf2T9XWWWkm4/E0ZnnXw3d1dFItF3L17F6vVSihK1kuJ6FgposDoxubzOR4/fgzbtpFOpyV1omXQwnlJq9UKH374IYDT8BCtq3qeJ1Qoc2QSJ7Zti2XRzTPVOs968uQJMpkMtre3oWkaOp0OFEWRWGqaJhKJBPL5PEqlkgCd2Wwm3S0HBwc4PDxENptFtVqVe4g2CYRhCMuy0Ol08Mc//lGUnHQtW5CoTACExGFFipUzhqdcLnfxYsPGxgba7Tbu3LkDAGJNmqZJTZQUY3Szy+VSEPVisUA2m0UulxNmaTqdijtlKXA0GmE2m2E8HuPp06eycZbV+N4ApMAwmUzEZamqCsuyUCqV8Je//EUA4HnWy5cvcXx8jHv37sHzPAwGA/FCdJE8I4kVnk3XdXQ6HQwGA4RhiHq9Lu4UgHgdxmJmIePxGM+ePUM+n5f3JoClcNnFQZwDnHobehXgtEHhwsWG1WqFRqMhPUd0CVHynNpF1Oe6LkajERzHga7rqNVqCMMQ5XJZrMowDJimieVyifF4LBa6v7+Phw8f4tmzZ6jX69je3sZoNJICeTSmMg2h8JPJJLa2tmQvtOLzLO7LNE184xvfwHw+R7/fF6aKdxEt37muC8dxxFXquo7t7W1UKhURTiKRQDKZxGQywWq1wnA4RCwWw87ODl68eIGDgwMsFguJ1wSXNCK6bWYIBJeapqHb7Yorv3BPFpvpCAaoZSxjsX+JiTYL151OB51OB/v7+9jY2EC5XF5z5QBwfHwsqUY8Hke1WkWxWIRpmnj48CEePXqEfr+Pra0t6YpgIQPA2oFJApycnKDb7cIwDElFzrP4e9lsVrooBoMBXr16JekevQ+RteM46HQ66Pf70DQNH3zwASqVClKplNyd53nCs1OB2EeWSqXw5MkTPH78GBsbG6jVasLesWmCDQM8N8Nev98X1/8mT/XGenAymRSqMfpBdLNkYY6Pj9Hr9XB0dIR+v49+v4/t7W0hNaI9XZPJBCcnJxLD2AlBV1Sv1/HgwQOhIvP5PAqFghTaPwueJpMJOp2O4AOGD7qx86zxeAwAkoKkUimMx2OEYSgdkKysTadT2LaN4XCIg4MD7O7uotlsCp1KkGbb9lqnBhdjaalUwkcffYT5fI7hcCiMFXn7qFGxTEvhEz2/yUudKeDf/e53uHnzJm7evCkoltper9clf6NGnZyc4Pj4GJPJBPP5HK9evUK/35ea7XQ6xWQyQavVQrfblRZXsjkETkSejuMIa8MWoVgshmw2u9YGxA5H5obROut5Fq2SVSFWwshYkWBYrVY4PDwUZT48PMRgMEC9XpccNZfLYTKZYDqdot1uS2xmuVBRFGkQIElEhWBX53A4FA6AxAaLIcyPaeFs6ruQgBlraHlMDUh+8CDHx8fodrs4Pj6WpJ6Fil//+tfSoZBOp3F8fIwXL17g+Ph4zcJGoxH6/b64JTbIO44j6Um0nZZsGN0zOx6B0/j8pvRh7RJe93cdHh5ib28PiURC0hx2YBBf9Ho9tNttvHjxQtilo6Mj/OEPf0AymZR/3+12pfuCeMRxHBweHkp/GQARHO+NTBi9YzablTQxmj7xzEwVLyTg69evSysJ2zlpXQRVw+FQyn/RBnH2aLF+zBTHtm1MJhOxVOaCvV5P0oVoqYwVEworWkFhKkN3xTSDinleF80OFFKTVC5+FkEgQ0uv1xPip1AooNFoSFmUl84z8c6WyyWOj48lj7VtG+VyGc1mU2riBJNRzj/awktPQHaLwj6LsTtTwLdu3RKQRRfKC2UqxFSFGsgNlctl7O7uolQqCRhwXVfaTUhEmKYpxWw2vZVKJdRqNXQ6HbiuK1pKt8u0g9QkP5fsEKtW53XRqqpK+S3aTEeF4WWzrEnh5vN53LhxA++9956ED37marXCaDSS2Ep0zwmRTCaDRqMhbFi73ZY7pAtmyy4ZLbpkfs9YfFZz4ZkCbjQa8H0fvV5PWkuZlzJPZHvMfD6X+Fiv13Hjxg00m03hXwFIewv53TAMpYWF4KhWq2F3dxfZbBaZTAYvX74UrpnCjZID1F4KNpp/nlVGi65YLCb9XmwaZGwjqiUdytSl0Wjg+vXreO+995DL5TAajeSiXdfFeDyG67qi7AcHB1AUBeVyWUqfzCgKhQIsyxI8E73f6MQHK2UMmQAkJl9IwNRGWi5dMN0jL4DodmNjA5ubm9jb20Oz2VzrRqR7o3ANw5BG8+VyCcMw0Gg08OUvf1mSd/YrHR4eSrss98X4SOqTi+6L73uexctkikWUy5hOpSE/3Gw2pehfLBYRBAGy2ay09IxGIwwGAyyXS+RyOWSzWViWheVyiVqthmazKSGFBAYVIZFICOnDVJBehFw0FSPax30hAT99+lRYnb29PbEcakyUims0GtK4Vq/X1/JBXhq1kWCNObTrukilUqhUKpLiEAmbpolKpSJoO4o4Aaz1JVNpolMY51lEp6xD07vwbHTVuq4jk8kItmD7TRT0kNmjIQCQPipyB1QYDrlRgL7vC/5g3I8O2QGfznGRA/i7Gt9/8pOfwHEcbG5u4vvf/z4AiKtijCBLxbkZplGTyWQtd2R8pNXyvRh7SZqwbEiXC3zK4bK9hbkg4zKBCWN4tBR3nsU9HB4e4uHDh2g0GgLWCJo4E5XL5WBZllgPc1RaGmMxc1mmR2wLpqCJrMnhE6OwzTY6bhsdHyUPwZT175ouZH56fHyMVqsltCVZIm6CDA3RI1MrFu9JCrD1k12BROKf1U4KPoqOAUj/U7QSBUAOGS1Rkg49z4qOmPziF7/A9773PTlrNpuVmVyW5UgjDodDEa7nedImPBqNsFqtZEJhOBxKasS7ic43r1Yryb/poWgIFHLUpdNNM/+/sIB5IM/z8OzZM+zu7opW80JZw9R1HbZtSy5MVEtQRRATRcuz2UxSGdd10el0RFGIDiko5tbshSb4YbwFIGg/OjlxnsU9sFPl8ePHaDQaACDzV2TiKExy0QwVh4eHosgEhMw4iI5JahiGgWQyKbFzuVxKxY0e0LIsCRGMs1SIqFL+XUxWVMuePn2Kb37zm6ItJPgZD5isHx0dod1uy8gl68hRNoZaS3DDNIgDZLxUuiJ6DfYzcaqdA+XRmP7XJh3ftKK/53keDg4OxOIYSylgzkLZto1Wq4XJZIKjoyO0Wi25m1wut0Yv0vUyVkfrviRqqDisN5PEiRIZ0TPSizL8XVjAPDxbShjYGVNp5cPhUNgbuvYoL0zrBSAulsLm98xdo3kfPUQmk5G8l0rFGMb+MHLljN3RAa23WZygyOVy4v5JqgCnwO7k5EQoV47FssDAvdPKKGwA0olBV03em/+W47bEElRiKnz0fpgLn6XIb+zoiK6DgwPcunVLNI2WyX6hdruN4XCIZDKJe/fuoVQqyWH6/b4MORNpMmaToaHHiNZfmXuzozI6xR/lnfnF92UqdpHFHrNms7k2/0u6cTQayVlv376NW7duSXMCz8oqEnNXTuwTLDE8kX6cTCbSncLUk+OqwKdPF+D5o8K9MNERBTIA8Pz5c1y7du1fzKVy5oZD0jdu3MDt27dlSoCvVyoVtNttvHz5Uor9tPRMJiMxiBWcMAylU4Mxl90iANaa8KjxdPtRNP2mFSUNSAF+9NFHuHnz5loBnoCRs1SZTAZf/epXUavVhHDhnBNHc+hd2GfG94o+AoItxSQ5qAT0RPQAHPaji2ZufGGQBUAATBAEaLVaIijyoBQGG8AKhQKuXbsmPc6GYQhhzg2zUsQNs++X7pd91YqiSG4cLSrQqhkTGbfj8bh8RjqdPnPq7q8JmR5CURQ8f/58bdCcKREfoBIEAXZ3d5HJZDCZTCTVK5fLa54oGiej9XDXdaVoQ4xRLpfXiKSogIFPgRWtnopw1joXyOLfo5ZIC44WwDmWwtHJ2WyGwWAgEwDj8Vi6G6h1bKElGGGXBFMExieCLYYEkhPReB1FmeVyGVtbW+cSLt+Le1JVFe12W0gUPo+D3DubDxqNhlg8nwCgaZo0DIxGIykGRIkPEkR8f04bsmL32YeqEDhGz0vjiuKktxYwXR9rrXSh1Bzy0I7jwHEcWJaFRqMhrTx0ZeRyX716hcFgIPEqWkCIpl+pVEqa+ghWqNH83WiOzD0xP9V1XSYKzrP4ewxJ3O9kMoFlWfA8Tzo8mRmUy2XUajUAEGUejUZQVRXD4RBHR0fifhl/SQwRL2QyGaFDyRnw4TQ8KxWAisiMgeeOKvVbC/i73/0uGo0GNjc3kclkpFjd6/UEQLChXVVV1Go1vPfee0ilUkICRDsSyPEuFgsBGSylkcEpFArI5/Nrz/MAIPQjhRttgqMrjMZezhWdZ0X7mhhzk8kknj9/jmq1ulYqnU6nSCaTuH37Nmq1mswj0/qizxhhMyGVmTHTNE1kMhlpBSKnEO15Zg84LTRaRIl61Wgd/K0F/J3vfEc2z8u0LEuat6OcLUcaK5UKHMcRQMFnZzmOA9M0Je5E67t0O6lUCvl8XmI2Yw1jFA/Oqk+0lEkBh2Eo5cazug2jKxrLaMGmacqwOt+XStlsNtFoNEQZ2EqTSqXEffPJQhyN9X0f2WxWSBO2HH+2BSkKnBgaDMNAPB5fS5eYm8/nc+zv/+3/oedMAU8mkzW/z0KBaZryyB++lslkUKlU5EK4cSoCRzQMw/gXQ9/MaflMKE3T5DAABDFSY6lUpPei5AZw2u7LmHyeFY1vqqoin89jf38fOzs7Ag7pKUzTlMc2EfGSGg2CQOax2FhHy4x+RpSFYmrHO2Nhhq48akAMl1H+IR6PC+v21gKmxnFjJOCLxSImkwkACJVI+O44jqDaKMVIrSQaJu8cRa/RkQ6i1+jT5qjRnDtiisTLI4fdbDbf2KsUXZubm9je3pav6BhsEARSyyXwYxcKzx/tBeM5maeSbOHeo2eN9kFHx2SYD7M4E20FZn5P3MCpwwsJmO7lsxfFh4h8/PHHa5tlfOJiXOJ7sJBNwMYZJ1oarZ6lMzYZMM7zUmkljOv8TEVRsLW1hWw2u0aKvGn9+Mc/Xmva4wwSZ5z4iAqek+RNdFAuytIRfEYfqEoF5IoialopcQ0bAHn+KFFCBaPhVCqVM9uD3/icrKiAo2CgXq8jkUjgwYMH8kxLuk3GEfYzA5AJhmj85QG5QRLyTL+iNWROBUSL3wAk/+aYJx/zBJy/bZYxP1qWUxRFwohlWQAgnRVUzOikBVksgkESNRQ6H+EQxR4MOXwt+mA3joU6jiM0KZvwODyQTqeRyWQu3tHBpDwqZMYkTdPw7W9/G5VKBb/5zW/Q7/fXqjy89Gj7C3NdXiIPxM9hXImOvdAaGB6ifCzwaauO7/tr4zGftZizFuu20emJqFWGYYhms4nd3V38/ve/l7SJaRlRMgVOIMgMwvf9tUYAFhmAT5Wa2QHnv9j5wqYIglx6mY2NDemjPmu68Op/Xbnk6+qJ75d8XQn4kq8rAV/ydSXgS76uBHzJ15WAL/n6ZyBS7/IJyu2pAAAAAElFTkSuQmCC\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Cluster 75\n" ] }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Cluster 76\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Cluster 77\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Cluster 78\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Cluster 79\n" ] }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Cluster 80\n" ] }, { "data": { "image/png": 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sS+R5zg/2rVYrdDodPp7d29tDq9ViIUIsKdsiIf1RiST3pliO4xiTyQTD4RBBEHBNF7l4nufY29tDnufsWWKlobC6T4z4Q+YG/O625KKLxQJBEGCxWKDT6fCTha7r8m6KYgDFG9FNAMwEi6JAFEWswE4mE1xeXiKOYz5kEA1Hj6PQSYl4OGGaJrrdLnvNXzotFcVGcdBzZhSHs9kM3W6X+2KKMVEYEGklJUIR+Hq9xmQyQVEU6PV6rNZQKNC89Dk9SECHiHTKShxi58e9qKwQeFEeEq9ZLpfMv23b5nglgCK3F12Qzr/oGTpqV+mhQSJNIhUlcORZYg9P88uyjHa7fe9Jyof/hfTYxgfgj218AP7YxqMF/v+bWouCUKAfWgAAAABJRU5ErkJggg==\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Cluster 81\n" ] }, { "data": { "image/png": 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v10O32+WDAtRwJAWsBbxabhJjojbvfD5nHyU/p85KtTFJmif2VW0VVU9FUGeWztyQK51Mb9RgcF0X+/v7ePz4Mcqy5OBIuz5/yNSrnQ4CRe1dKvuqXVcqJ+l+TdOYqxOPrraXiLbKsgzDMFb200lAeZ5jsVhgMpnAdV0EQQDXdTEajdDr9TAajXgOWp+u6ytWtZbGCUQ14ABg8NPplAkIgZdlmX+nRWxtba2cSALAnRRiXrRYuo8498HBAcbjMYMOggDz+RyLxQJpmjJgKmYo9qx96ok00mq1uJtR3c8mEwuCAAcHB2zmlAYpl1bJRLWvTlG9WgNQz42Kj4ODA/T7fXieB8/zVro61BMQBAFJkjCNpTp9beDUA2u1WisVVTUgEdOKogj9fn+lG0OB7mTfjDRMnxMIOsU0n8/hui6GwyGePXsG13U5ipPvV4+LUTah2EHpdO2ylM6aEM+udlmrvXMCEgQBut0u18hJkvBpiGq/jdIVVXzEwoh9TadTHB8fo9/vM9EBwHGgahkkfHIZIlensba/CJw0e/I0YvXsCjX5CVQQBBiNRvwdpRg6skFFCbkE0U/q5E4mEwyHQwwGA6RpyvNTxNY0Db7vYzgccola3SsjIVDVtxbw00bVlH7twGyVQJwWXU/OR/n6ZBOBFEAmHcfxqemKyuLfGr/rvHp1G4f+ri74lUlPHOL9rfFrKee0NFQV5O8R5mnj7X8hnbfxFvh5G2+Bn7dxboH/GSKZPKsLTjRNAAAAAElFTkSuQmCC\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Cluster 82\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Cluster 83\n" ] }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Cluster 84\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Cluster 85\n" ] }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Cluster 86\n" ] }, { "data": { "image/png": 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Un2EjAFJT5i/DtixLaX/q9LYqYnB0raoKL1++xJdffonpdCpeXQWtPiB4IuDcEWVlJlPjE80U/V+/fi3UlFHQ6/Xg+34LlHqtsixbTz0RSK/XQ6fTgeu6iKJINiLu3buHx48ft1QglU2u7pkd5f33/wvpvB3vgZ+34z3w83acW+D/B9ZmwOuAewr8AAAAAElFTkSuQmCC\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Cluster 87\n" ] }, { "data": { "image/png": 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k+74ODg40Ho9tESeTiU368uXLkp5Wh46OjjQcDpXNZuV5nu7evatf/epX2t3d1e7urlUBKWGyCOcJfChQgJB9cnKi/f19RSIR1Wo1Kzv7vq9SqaSbN28ap9ztdk0Ber2eSqWSarWaqtWqUUZUEvFWRCHW+vLlyyoUChoOhwqHw7p48aIpCMnq6TK7pKXL68CfUChkSSrw5smTJ4bJ8/m8hsOhptOpstmsrly5okuXLqnX6+nw8FCj0Uhra2vq9/uaTCZKJBK6fPmyNjc35fu+wZ5UKrVQfaSdoFKpKJVKqdlsanNzU9VqVTs7O5pMJmYAiURCxWJR0WjU8oEXRZxzPTEkfzQaNXKc8IJyep5nJVC89WAwUCKR0Nrami5duqRoNGp8ZrVaVa1W09ramrrdrkajkVqtlmX929vbun79uj0vlUppa2tLzWZTnU7HytXFYlH1et34x1QqpWQyqdlspsFgoFKptNTmkoyl02kLY/1+3zaRhIZqI56sVCppMpmoUqmoVqvZOuzv7yudTltSS+gcDAZWRGBsnU5Ho9FIqVRK+Xxem5ubC0kqeBWI5iok0QYW5zxBedPptHK53AI0o4pHOAf/E0kmk4kKhYJBnHg8rgcPHlh7APiYAhYQolAomM4Mh0OLBNeuXbMcIRqNKp/Pa319Xf1+X57nWb7Duo9GoxfCw3MxsVuNS6VStsluSJnP51b6pLdgPB5bwpNKpWwTZrOZ4Tv6FaDdUJZCoWBeizCCEZE1h0Ih61NgrG4ZMxQK6bXXXltqc1Eyt4w6mUxULpdtPkCTbDZr6wLjAEvAOIA4FGRcOAH2BP5Eo1HjP2m2wnmAxaHpXO7d7clYVujOSyaTSiaTWltb08WLFw3jwgqh7IxnOp2asrmVTPpDksmkYV32E/rNbUsgN2Be8PPSM/qV5xN1oBhBAM+d11mTJmyxiG7liP6HtbU1S6qgvUiIKI9Go1F1Oh3LdpPJpL0HA2RTcrmcEomE8vm8ptOpWq2Wut2uFVtQGBIwlAUGgaTH87ylPTFKTEKDImcyGUsyB4OBGQllVubGJrA+ruG6hRC3xwI6Cy8IAwPbgwLhHamQMl64edZkGQFOuF2JOJpyuWzJWK/XM1oV2LO1tWXvH4lE1O/3LffAObmVOhSXaIJzIoKT1LpVT7y0W0yhwOMWyU7LmUqMFTDwSCRiG8zPYRpw+ZDxLNpkMrFyIVwgnpdnkOy5/QfhcFiFQkHlctmoLyZP2ZnXut1NrqHx/PPELfO6VTkUKJ/PL5SHUWa3UWcymVj7IusAvwvZj+GTfbuKVCwWzRBgLFB6vodLx0O5415GSAgxdOaCUwHOkJSx/24L53w+t8hBAYrqJUyJ7/tWqj+NwwuFgumTW/BA6dlLuH/Gwlo/T85U4tFoZBOIRqNW3QEXAdqpqsASsGl4FreaBuXEgkCHkTyiEOPx2JrSwZC0PxKm3bZIfuf7vlWelhUW0i2XEr7dipvr8WFY8Jw0kBOJiGAYFc/Be/Ezwrdbtkdp3bWUZIbOPriKvIzwetbHbcBhbkApsC2vo7hFwodiua9B0UnGMpmMQQwiEvOkp5yoA7zEAWAg7DFU3PPkTCWmNZA36vV65gkp6+Jd3MVkYyUZhmUiVIDc/lKXRHf7DAhlKH80GjVmYjAYmMLFYjHjmqGnXMhynkDu0yPCHJmnLZZTfKDXgJK3qxgsOErqNsWcbhhy10ySkf68P5k6isOaub0FywqsjyQrXvBciizsFQaFM8ARQcu5EJMxubkD8Il58FwiEzQma+pWRzEst5tvOp2+EB6eqcQUNXhT6VknFZaLArNReFeyUY4qgZsoI0syrytpYQE9z1Ov11M2m9VoNLJJsbDSs+640zwp3oawvYzgzTEYtwpIQgIMYtMYvxt2MVC3Yee0ApMYk+wR7Vz6iN+hJKfbSk87jGVhE7SlqzgwHBSuwPMYkJtIMkfKxm7fCNSaO994PG79x5J0cnKiUqlkbQqSLKLxejwwysyew6k/T87FxExOknlKehfcDiysFE/W6XRUr9eNmnFBOh7BJa/dUL2+vq5Go6HHjx/r4sWLkp6FfDZOeoZhXXaAcSQSiaVbFCmV0ozP5mFkeF1pEX8zXypxbv8tm+5CD4yUZ/G+x8fHSiaTVvxxO9VcXMiX2/ZIs9AyAgRjvTCm03Nx2RSiFEWLg4MD9ft9U0bpGTbGSBD2Boap1+tpf39f+XzeGozYTzfCMCfW8LyizplKjCtn4oQSrBeFxTtRbnR7BEqlkoXY06VgoAAbnclkjOjP5/Pa29tTq9VSsVg0BXajgovR8PIoeLvdXlqJScKgy9xGGDess9C0iVJOPzw81Hg8tnDn9jpIzyqChNtUKrXQ+cd6kczBTLjP8H1/oTUVr7isF5aeVQsp/+Ll8KLsMevMnpKA1et17e/vK5fL2f7TFecmwtFo1GoIRLkgCJROp63paTKZKJlMGqxhvembIJKxbtKiA3HlTCV2Padb1cJbgIvcjifI6nw+r/39faOhSOxms5n167oZPFn5eDxWo9GwReVYCgcQeT9JRu1hTODpyWRiBrCMgIUnk4mR6oRKt4eW7jMMiSaebrercDi8kOjyN65iZLNZtdtt8zTQdhgInV9gegzK7d1GeYF6ruc+T3gGOQU9IxSmXOeE16Pw0ev1zCv7vr+wFr7v236yZowLAzhdyYNtAhsDmUjQ8cDD4dDgJL0Up+VcJWZT4F7xmkxQenYiA5wDexGJRPT73//eDKBYLGo+n+vJkyeqVCqKRqOmOIRVnuE2/HC83/WUbt+xm6nP53O1Wi0reCwjbCTeHJxKYuEa6fM8I70Hp9+TzXOb9SkqoMSE9lKpZB6sXq/b2T73/VEYDM49SLCMDAYDayMgZwGPu9gb1oLQTr9vOp1WKBTS3t6e5Q940Hq9rmazaad3cEhHR0c2XrheOHnXI6NfOAKMlZzI8zw9fvz4ufM6V4lJLrAw3/ctCSN7RbEIlYSU7e1tNZtN/fa3v9Xx8bH1+KbTaV2+fNm43GazqVarZR1e8/lcly9f1rVr1yQ9w2uIS4ehLDAiRANw8TICPUZ4JrEjW3ZDHcrNeKj0HR0d6Y9//KNVpCgi0LCDV6FwAqNRrVatLEuRgAIP1VJwOXviemE8+TIyGAyUzWbtWSgocyay4q3d/ABFq1Qq+uMf/6j79+9rMBjYnmezWdVqNTvK5hZOWMO1tTUrIMHC9Ho9g1kuk0V0JcLOZjPt7e09d17nVuwkWRYNRsbj0PUFfmNCLEg+n9c777yjnZ0dHRwc6OjoSPV6Xffu3dPBwYHxwoSzRCKhnZ0dJZNJFYtFRSIRUyyXgnK/dxNKfk5/xbJSr9cX2jyh2NzEzm1Ux2twnH99fV2S1O127WR3s9lUEATa39+3tkyYj1KpZNHKpZFYVwoBrKs7Xze5kxYZnmWE8E2ug0HijIBB7hk79wT35uam3nnnHWWzWZtrEAQ6Pj7W8fGx9WbQI3zhwgVjdmCUgE2ubvFzl+FwDRVlfp6cy06QqbKIp4/XU3Fi41kowiCbvL6+buHhs88+0927d60q5zaeuIQ5CZXrcfm5e+LC9crHx8cv5GLP2liwJ1GHZzAHoo0bbsHLoVBIpVJJN27csO4u1o/XUbhxqTo3orgVTBJgt/Ge7Byvdnr+y4h7SsbFr7AncNsYLI0/0uLp7XK5rDfeeEP9ft+88Ww2U6PRULPZ1MbGhh0QoJeFcbIv/J17/wbVPtbGFdeoT8u53SM0eEiyjjYmhWdxy5/u3QkMhv9zXIn+AfoT2ECsGkKeDYarhUBHYEuAPNPp01MXbj/D5xG3fRPO1602Yby8t6SFzeFEx+mbi/g9f4u3dxUR9oZ1dRMtjMktZ/O+GMKy4lYQgSVEFHe/GTu4HfjjXr6Sz+cXjGhtbU2tVsv6vtlDxujmEAinUmBlYEOIhO44XyTnUmxu5YpSoaSF8iMhjVDlJmB4WSbE6RC8Tjwet4Gz4WAiGAJoGDwZE8SCXSqQnmXXc5wnpz0wRofRMBcSNKpTCJ5ckh3XcftHSE5QVHAnm+8qMYwQ+YNL8RFW8cRk8cvOU1qsDJJg0RPNmuEUeC+chdu0w9k61iYej6vValnO4DZqpVIpDQYDRaPRhWjKmtAWSpJP0kskcBmc58m511i53gdMSH0fJXeP2VAcgV5yaSA37GN5LA74DC+GUcCZuorL37q0ne/7qtfrkp5BnmU9sVtU4JkoG1FD0j85Wg7rgoekJ4Aw6p5McBMcjM+FBxRbMFg8IQqD8Lf8n/VaRlwszTPpZeHyPw7jMi/WhEokcIqKKGtFE9Ns9vQsJp4b3t9lHVzY5OYybqme37u1gBd16y11F5vbfkiBwr3dkEOFtEy6JUrucuj3+6bYhBjwUKPRsM3lX7xUNptdOI2M1ydLB19SXHFr/ss2AbltnJPJZMED4o3dRBJP7M4V73pycrLQG8DasRlQW8AFlMD11lzMxzoRrVhvDMD1XMsIRSG31O82POEcKLnzHqebucLhsE5OThZ6L8hpqBNwUBTjdk+y0PnIjaGS7BAAv0eR6Q78sxuA3HvGsAqIeA5n4jE7nY5u3bqljz76SOl0Wq+//rpdzrG9va2TkxNVKhXl83ndvn1b0+lUV69etey/Uqnozp07ikQi+vDDD/Xw4UOtr6/rG9/4hhHpeAEOlaLww+FQx8fH8n3fMNZp7HWeACfYNDYIwwUmuYUASq20iAJpisWitSUWCgW7jO/q1atWWCkUCnaOcDKZaH9/Xw8ePFAkEtF7771n+QfzoMiAAuMllz2axHjZLwpYREqcFVEPIVc5PDy0RI72AyizRqOhS5cuyfM83blzR2+99ZauXr2qf/iHf9DGxoaCINDe3p6i0ah++9vf6u7du9re3tb3vvc9a4p3Ixz9FlCAYOQXybk8MfiWjSOUYGEUBi5duqRSqaRSqaRHjx6Z9wTjBkGgCxcuqFqt6vbt29rc3NRrr72mw8NDS/o2NjbU7XZVKpUUCoW0u7urq1evmpKR+LChZMWdTkcnJycLPRTutQLLCsrBs8Gd4EfoPbjbXq+ne/fu6fHjx7YG8XjcjmPNZjNdu3ZNx8fH+v3vf69vf/vbmk6nOjg4UKlU0pMnT1Sv19XpdCwhunr1qmq12j/p4cUT07jD3rh4/DyhBAz8IwGG4oTzTiaTC11rR0dH+uCDD6wS+95772kymWhnZ8cc1Fe+8hUlk0k9fvxY7777rqrVqmKxmLa2tnRycqJsNqvhcKj9/X21Wi3dvHnTyvSujtCQL2nhIhUw9PPkTCWG1nCTBygT9yJBjq2Uy2UVCgU9evTIwnK/39enn36q8Xis27dv6969e5aQ3Lp1S6PRSIeHh5KeebZyuazd3V2Vy2UVi0XDfeAyms8lWVMKlR+3w2xZTwxsINSTfOD1MVyUWJLxvVeuXFloQ6Qiybo0Gg3jRbko5eTkRI8ePZLv+2o0GrZWb7/9tq2hi//xuPwMJQZnLztPFN9NpPHGvV5v4XoAoEwul9Nrr71mlTqSruFwqE8//dROuHPmcTabqV6v2xm7Tz75xHKCTqejWCym999/XxcvXlS5XDZj4UAxThM2g2II7NTz5Ewl7vf7Czf2uJZMqZIsmt9x7SjebHNzU9KzuwsGg4HW1tasNwAwD1Thcg3ucKBtEE8MPiLccDs8J05IfEg6lhG3uYgkk6YdaC4OrAIH2Oy1tTXVajUdHR0Zd+4WDz799FNJTy8Of/jwoR1DouuNu50pKFB0QXFJ+tzDoKw15eAXJTynhXUeDodKp9Pq9XpKp9O2V91u19oFYIqg39577z1dvnzZcG4mk7FELxQK6Q9/+IP1e+/v7xst1mw2F+jY9fV1lUolu6qAvULfUFhgGlDCTfhOy5lKfHJyYsUMMnUKFqd7Xt3WQzw0jSKxWMyu/ucSFfe2mFAotECIE7Ip/+Jle72eXeBBUlMulw1zutny54ESbhKIp2EOVBQ7nY4ZlBv+4FkrlYrNHSOktRJ+lIZ+1hDldJMrEiRXQYA43Hzk+75ardaZyc7zBHg0HA7V6XQWennZq1QqZT0SVO7YA44WzWYzpdNpu/UolUpZcu+eiGbtiEJEEPIsFJ2Ej1K7JOtFx2GdFXHOXAEaOiglk71SJuQN3ayZsIcSIGAdtzGeziiSG3AsXsxtKgqHw2q326ZwXMP09ttv691339Uvf/lL3blzxyiqz5vUeZ5nm4KX43Q3is0tNy59xxiJKKeTPnpJpGcFIsbmlmGh7FAo1hjlcFmOXq9nhsYYlhW4exwJTfLAJPhcKnmMGfyN8wLa0MFHtyLJJ4bIHR4Ugdw+EDrcuLcDheYmKYz/LC8sLVF2brValimjaCiiJPOWbvgl24V7BYu5pVbKsSyGW4JloaBa8AbgpcFgYOPq9XoqFAr6yU9+or/7u7/TrVu3FnqClxHP87S7u2u34T98+FCtVssycfjMXq9nHLBbGnU9KQJ8cvutUWDm7L4/VJO7tp7nmRek8Zxo5PZOLGuwdJGxbmT+wKT5fG5zpNeXceKAUCo3cvX7fXNSbuuAtHiaHQPi50RhogBCz7GrI3+2J2ZzRqOR2u32QsMPnUhkx4QJPBChFUDuZpkotssZu5y0W7KUZAAfvrLX62k4HOrmzZv66le/qr29Pb311lv6m7/5GzUaDd2/f9+ai5aRv/zLv9TW1pZBhsPDQ4M4QAOSPC4bYVHdgsfp3l6XFsNLAzdYW9bZ5ap53XQ6tZ7j+Xxul/O5fSqfR7761a8ql8tpb29P8XjcYBIVQheLEtHYRzfqEimpLroe063wuUeggIruAVu8PSxEKBRauIMPPTiLmZDO+Ry7YrGoS5cuKZ1OazQa2QVxZKcQ4GwCyQ4h1K14cSMObZoo62kLo+rllibxwqPR0w9b4cK+2Wym119/Xfl8Xvfv31cul9OPf/xjU55l5Y033lCv19P29raFdwwUtgKKC3rKrTyRpLoexx0/G8lauXQlFTmXj3ezc94Lz4mwZm5idJ78xV/8hTEf9AP3ej27hQnlI/mEMyfxozSNh8RJodDuHCn4SM8+5Yp5ui28tM5ipCcnJ2o0GgvzxNG9SM70xN/5zne0vr6uDz/80CzG7RpDSbkzgCwbkp7qi3sNFBQRJxg4oQzOlbRQocKzu6+lf6PVaqnVaumtt97ST3/6U126dEnXr1/XxsaG6vX60v3EDx8+tAvsPvroI6u2EUHwru7pFrebj+qb29CPIrvVQ5eGY/3YZEK920SF8fi+bwntO++8owcPHuizzz5bmpVA1tfXF7wbvcvMyW0qAh66XW3ulQooJkrp9l64Hpok2C2huydpcE7kBcA3t3Ho9FGt03KmEtMLSggkIUC5AOxwqmwSp5ChiuAj3bDC8+B+CTOUNYEQeAUwF9lvv9/X4eGh7t+/rx/84AcKh8P65JNPtLW1pa9//ev64IMPlmYoZrOZLl68qNu3b+t3v/udLly4sJCc0FrJnREkgSgoNKOLI6fTqRV83CQJw3Z7P+B7uXsBLM3cqc5xmczW1pZVPj8PrJjP57p3754kmdcHKgIDiLo8122XhGU6vY90JkrPbrDEs9ORGIlE1Gw2JcmSN9aWMQRBoLfffls3b97Uz3/+c4N35zX9n/txB5999pl9D/hvt9t2HzEX5qXTabNM924KPA8YyK0+uVYYBIGFZfduME5BhMNh+zAYFIfrR6Wnn0fRarXkeZ7efPNNPXz48MyPjXLlypUrSqVS+vjjj3V4eKjr168b/oaEB5OzgfQLsC5EJcIsm05Ucm84cnts4aDdM35gfr7Hy+VyOeXzebXbbX3zm99UEAT63e9+t9QcJekXv/iFHjx4sHA0jFPHnJmbzWbGEXMSxP2MOrdZngoqUAhoiBfFaMHXFFHA+hzpgjK8ceOGQqGQLly4oB/+8If6+7//+4Uk98/yxE+ePNGtW7fMS5C8JRIJtVot1et1W/BKpaLpdGrZL91lLIhLmxEiwZXwl/ycao9LvRWLRWWz2YXqmHst0+bmpoW5Wq2m7373u+daMHLt2jX5vq979+4Z7+lyxSidm3HPZjMrVDAW3/ctGWJTSXzxvm5jC8bAz93LqN2737ijGW+Mor///vs6OTl54bGd0/LRRx/ZBX88GzhIFQ/jxMG4TBNMgvSslZP5uuyM26zkzg/jxkGxx5S8L1y4oKtXr+rhw4d6/fXX1e/39bOf/cwi2Z+lxB9++KGOjo60vb1tXpTe0Ww2azV/eNV+v29XlELTnD7FgPW6jSe9Xs9CD2GUm3VyuZyVn0lswHMcnaFvVZJBCD5gcBkpl8v2eRI3btwwkp+NQIlgGsBo4H2gE56ZyiXRhnxAetYZ6OYMLldO8kx0Y+MTiYQ14ezs7OjWrVsql8v61re+ZS2o58mDBw/09a9/3aptbpM+5Wc8qXvcvtvt2g3/XCQDZ02pn2hzuvvNzaGASdxzTBMSJ9mHw6FqtZp6vZ7q9bq+//3va39/X7/85S+tUPQ8OVOJHz9+bAkIntQF/W4Nn4HjpblJxr1OCtIaqwXzUcVzEz7q9js7OwvdXCRBYPJqtbrQvsmGf56qHYwJH6flZtF4RPpkWQM2mtp+r9ezapdb5OGSErfRno3m84oxWC6doayLgWD8d+7c0euvv66dnR2lUikdHx/r2rVrunDhwlLz7Ha72tzctD0hASMXcanPfr9vTTt8UfDh5lI6/Yi6sC3Ss09Pmk6n9sE6sFrwwJVKxQw/Fovp4cOH6na7unTpkn71q19pZ2dHP/rRj/Sb3/zGrhl7npzbiokncYUwCB7GGzMBIIF7QbekBcUixNJuB81CuKpWq1pfXzes7XaWEb7gbmezmXXP4R15/jKCYlUqlYUQybihi1A097kuk+JW+qAJGafbLy3JqDPKz+4NRPTZupVQusloHNrc3NTdu3f12muv6a233lpqnjdu3LC+Fjyo26U4m80sKuJkaM8cjUY6OjpSPB5Xu922D5thnm7JHb6cSERljvxmNpupVquZs4EguHXrlv7qr/5K77zzjvr9vprNpmq1mm7cuKHf/OY3f14/8ccff6w333zT7kRzaSEoIPdmdl4DB9nv9+240GkhOyeBAvMlk0n7qIDTFJlr5WCyJ0+eaDJ5eiE2eKtcLpvXXkYowuTzeevZYHzAEhQXTtXtKqNBCmUGXzJ+IhleizlgwFwKks1mtb6+bkqBcXHWrd1u6+joyCqJwK/r168vNc9vfvOblu0HQbBwMt0twLTbbXM2FBnc5nW+3HuqXQMlcvA+cNEcVSqXy3YjJs5iPp9rb2/PrvQKh8M6ODjQ1taWtra2zlRib1mifCUr+ecqn+848EpW8s9QVkq8kldeVkq8kldeVkq8kldeVkq8kldeVkq8klde/h/Zdb3QQoBQ+AAAAABJRU5ErkJggg==\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Cluster 88\n" ] }, { "data": { "image/png": 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xWEzYQK+gs7y8fPUUzX7O25qwj+XFs7Yw0i3LkkgmrH/vvfcwPz8PVVVhWZYQ74ZhCAhjFM/Pz0/1eXQ0Zg/btqfIfH7fK2mapolXXnkFrVbrUgY2TVNQLpUZliFGJo3JPpbZjdoxA2F7exv37t3D0tLSlFwIXGSK/f19+P1+7Ozs4J133oFlWaIZkxbmfTEjsDTyNUTuiqJgZWUFx8fHVzMwSQavlkvSnXVW13XpCynGG4aBXq+HP/3pT5Kq4vG4eCujT1EUQcC6rmNrawszMzO4e/eubDYjgH0n2SDWerZvzA7tdluMfnR0dCkD7+/v45VXXhEnZYvEyPLSjnxP9tnMWtFoFJ988omgbbZamqYJwxWPxzEzM4Pbt2/j5OQEL7/8MvL5PGzbFqNRqWI2YcfAgAoGg8KTM6Pu7u5ezcBe7ZN/nJEyHA6FEAcg/C3BRa1WQz6fR7PZRCaT+cZhAd7M6uoqbNvGysoKvvjiC4zHY6yvr8MwDPFmSnG8UUa5dyLC5/Oh1WphdnZWWLXLrJ2dHWxsbEyJ55T9yEaxLPj9ftGivdMWxWIRpVIJa2tryOVyUke5wuEwqtWqgKxEIoEHDx4gnU4jEokIxqCRmRVDoRAGg4HIsKSLude837+2njqTtbu7KynYy0GzLWF6IY9KMnx3dxfZbFbI+Gg0KpvESGNE+v1+0TQHgwGWl5dxdnaGDz/8EIeHh6J7emXAUCgktB1RLIWAhYUFSa/r6+uXMnA8HkehUBDJj04VCAQkmilIfP1jNBqhUCigUChgYWEBuVxOSpt3omU4HMI0Tei6jsXFRQQCAYTDYTx8+BDtdnsqPfM6mEG9mTQYDMrX5Paf1i08Uw/e29tDLpebarABTBHijuOIlmtZFmKxmHDEBEx0AP4+65eqqiiVStJyZLNZLC0toVKp4MmTJ9jb28PMzAwSiQSi0Sii0ag4WbfbRavVQiKREGBHloeqzmXWxsYGCoUCdF3H3bt3JVvx7zBiqRwxGzWbTZTLZbiuK4xbKpX6i8kMYhOm61gsJnXbcRxsbm4KWAoGg1IeaAO2gzS+4zjSwrFOX8nAS0tL6Ha72N/fR6VSwauvvopkMgkAIja02220Wi0h9jVNQ6VSgW3bIkyQeiT0ZxRTbSFgIvxPJpPCWxcKBTx69AiqqsIwDLm2eDwOXddhGIaAmWAwiFarJa3T0xge79J1HW+99RYePnwoWSCXywnBQmGe0mmv18Pp6anwwrZtIxQKSUfByPa2hf1+H5FIRLTkQCCAXq+H1dVV1Go1bG5u4vz8HPl8HrFYTFKypmmi3FmWJZmk3W4LN8Cu5LkNDFwgP6objx49QjgcRqPRQK1WQ6VSgWVZkmZJdhBM6LqObDYrUUy9ltMfBFrhcBiJRALhcFgQcSgUwq1bt5BKpdDtdiVDkOUh8GB75C0Vf/jDH7CysoKlpaVLGZjK1Pvvv492uy3ky8bGBvx+P5rNpnzwWtinBwIBkTUpxnPTmaqHw6FEoK7rME1TavJwOMQrr7yCdruNQqGAjz/+GH6/H+FweGqIIBgMolqtYnFxEa7rIhwOT821XcnArJVEawQONBrnqbwTiNlsFplMRhQZ1g32dWxzXNdFJBLBaDQSRM6+lezUaDSSLMD3sG1bRkdpUG42kfz29jaOj4+xtraGn/3sZ880sFc3zuVySKVSaLfb2N3dxWAwwOnpKWzbFuNxRIZcuKZpyGaziMVikl4nkwni8Th6vZ58zzAMIYdyuZyIEOyjk8kk5ubmROemM+m6jlQqBcMw5J5Z1y3LunqK9hZ5AiJd1wFAUGy320Wn00G/30csFpP0QqOROKfq1O12Jd3RUGdnZxiNRpiZmUG/34emaXKD3iE7pi3vXJNlWSKwDwYD4aTL5fKl+2DDMKZaMdKz+Xxerp9ECLsF27YFRMZiMWSzWamzwWBQ7o0yIXAxWNBoNKR8ra+vy4QKW67FxUXk83khVYhdgIuxH06p8P63traEt39uAxNgEFw4jiNjOZwnqlar6HQ6CIfDiMViIuWZpomDgwO0221sbm5KL93pdKRm1Go19Ho9+bu2baNcLmNubg6RSATValU8mEoPmSW2QGTYbNsWlofZ5WlCuHd5h/l4PWTQOEFCFEy9m8I+62Cn0xEmqlarSbbpdrsSIEdHR6hWq+h2u5LZSBxR5PAO8HGYkGk4FAoJq8a2bXNzE7VaDb/4xS+uZmBugOM40i6RzWk0Guh0OggEAkilUkgmk1JHI5EIHj9+jGq1KiqQZVkol8uCTr1RzE3iZkciEUSjUYkCGs4748TUTAdkrWNEX3aRWJhMJqhWq+j1esJ1s5+mYsZZZzpzMBjEcDjE7u6uoFuqTxxAnEwmsCxLRJfhcIi5uTmEw2FR6waDgejusVhsatyW/Df3nlmV1/y0TPVMA7Ne0nOZtjudDgaDgShNlAFJR6qqio2NDezv78N1XRlWK5VKqFarosESYNFwBCFMfdxYRg17cbZnNDYJGLJZl0XQwFdTidzkZrOJlZUVGXnl9AqjmdcejUaF3UokEigWixKVbKGKxaK0bBxEcF0X5XIZkUhEelgOsBO0ErhSB+90OtIdsIfmHjxt8P2pu+CdAe50OgIWmCLYqnjTM9+MNTudTmM8HqNer6NSqaBer+P09BSHh4cykQBA+F7qu4zCcDgsm8b3JTXoPSfE9MwR18uO6wCYIhWYZjk+w3TvLQMAJMrY72YyGSwtLUkfTgzAVq/ZbMJ1XczPz+POnTtIpVKSiqkKcf/IITATxmIxTCYTNJvNvwgyZr+/tp45F01QQ1mM/SU3HYDwsYwa1jPWwFgshkAggEajgUajAeArwNBsNoXzZVRwZhj46swQS4R3spOGYZZRVRUnJydTdONlFtMePyd5wDrqOA4ajYacJEilUohEIuL8mqbJRicSCRk2LJVKaLVasG1bBAW2iqQn0+m0gDLyAf1+X3jscDgsmnq73UYsFkM8HpezV94jM89t4E6nI9MXFNoZKTQ4GSX2p5zZZa9KY9y+fRvVahXlchmapsmAONEpmS3qsEw9nDkmLemNWgIholtFUVCpVKZkusssIm9yvuFweErC48w3F7VwXpNXvgOA2dlZVKtVFAoFuK4LXddlrowgicN2jGAGExk01lW2kXS6+fl5KIqCarUq4s6V++Dd3V2kUinxEkYGkR3rE2eSgsEgZmZmEA6HpYfmdGAsFsNrr70GTdNwfHws0ReJRCRy6d1sBZg5mDUikQgsy5Jazx6dfDmH77yl5TLr9PQUi4uLGA6HAu6IJTgazIHAyWQiAjuJDFKbTLXpdBovvfSSsFo8MkvHZEajMsTsQIeNRqMwTRP1eh0AEIlE4Lqu7BGBH7HJ09ZTDfz73/8er7/+OoCv6pT3MJnjOCiVSqjVaoJqSdCzrWCqJSp98803cefOHZimKWmJtY7lALiYMORMF8WDmZmZKSejITmMx4HAp9Wkb1q//vWv8dOf/lSiKBKJyHuwFz8+PhZ6EgDefvttOZZDR6Awous6otEo7t+/j9XVVTkE4Loustms3A/5ZMqdnN6g43NWm8icPDcz5sHBgTjRlQy8u7uLk5MT5PN5qXOMlNFoJATHaDTCyckJ9vf38Zvf/EYGyuiRTOdsLzjQXa1WhdGisM2+0nEckeASiYRMFGazWUntlPIowBeLRalfz6pN3vXJJ5/gRz/60ZT8yVRK7nkymcgJiE8++QSPHz/G7OwslpeXpee2LEtmygKBgGjCXofXNE2mPdn2OY6DZrOJJ0+ewLZtpNNpzM/PY35+HvF4XPpo6vG2baNSqeDg4EDK4JUM3Gg08ODBA4kwsjhMJ9Q15+fnsbGxgYODA3zwwQeoVqsiTKRSKTx8+BBLS0s4PT3FkydPUKvVpuqu4zhCw0UiETngBgD5fB6rq6syAuRF6eSEeZpie3t76qjmZdN0uVzGRx99hPfff18IHV4XALmufD4vs8kff/wxPvroI1Gx1tbWUCwWcXp6ioWFBZyenorzsaSR4GGGiEQiGAwGqFarMu+8vr6OxcXFKacnsQRcZLZWq4WHDx8KKHsamHym2PDgwQPcvn1b+jXyyQRCbJFyuRxeeuklpFIpFItFTCYTzM7OYm1tDc1mE++99x4ODg6wv78vs14UCwqFgozuUBHy+Xx499138YMf/EAIfyo7FMS5caZpYnd3F81mc2ra4rJL0zT87ne/w8rKCmZnZ6fegzUuFAohHo8jGo1icXERuVwOn376KVzXRSqVwtraGlZWVrC5uYnvf//72NrawsHBAba2trC8vAwAcoZqbm4O+/v7yGQy2N3dRa/Xw927d/HOO++I7MhDewRy5AY6nQ6Ojo5weHgomerKIIvS36NHj0QYIEpmWxKNRpFOp4WYePPNN5FIJFAul3F2diZsjWEYkuoJkhglXz/z+vbbbyOXy2FjY0NumPWNAkev1xMBoFQq4fDwEMB0a3TZNsnn88mQwY9//OOpQ+rsHjirzXvhBMjZ2Rk6nQ4ODg6QSCQwNzeHTCaDW7duQdd1ZDIZJBIJaeHa7Tai0SjOzs6gaRpu3bqFXC6HO3fuYHZ2FoFAQHAEsxHLYL/fR6lUwp///GfZt2c58jOZrMFggAcPHmBpaQm5XE6YI1VVEQ6HEYlEEIlEBCTl83mRs1qtloyGnp2doVwui2hAY9q2jZmZGXQ6Hbz22msiG3JGmXoxCX8KAt1uV1qY7e1tdDqdqXT1PChaURREo1F88MEHWFtbkzkp8sGGYUgLRZFF13WsrKzIIyPa7Ta2t7cl/bKlazabUsuJ8JvNJm7fvo1MJoNgMIhEIoFUKiXlh/dB4/IoS6VSwebmJqrV6tTgxZUNzNaoXC7j888/x7vvviuAiYefOYHgbVuy2axEO58A4G1vyG6xveDJPH6PYzlfP1sLQOoR5cK9vT0cHx9PPXKBytBl0TRBjM/nw4cffoif/OQnsG1b5pCBr55X4j3dGIlEMD8/j1qthmg0KofG2E04jiPzUvweD7CTWycnQCmW9Z9Zy7ZtOQd1eHiIvb09kQvJRT8tip9KVXqb6IODA3S7XRl052QBCXAAoviQYvNO4pPXZhRS2AcuvJ30HOsn0w83jONCRJ2maaJcLmNnZ2dqJIiOCTxfFBOYdTodeVxRu90WgzIySarwzBQnS1kLueHenvebjpTyKTzktimWMFhYthqNhvTgW1tbf3Gg7t+VooGvNGF6uG3bMgvknbEi6+M9fUADeU/NMwooztNjvbQo2wivmE9H4WEt27ZxfHwsvLPXuHScywItXtNoNBLQyHkzjuOwjwcgfDB7WO8wAhUnHkZjr+vNRN528OvPFyEfzpaUB8T39vamOHbvkMWVUTQNwfTB+SpqnJyRItnvOI7AekYka0i9Xkej0RCpi+eOOMtE6pL1h7O/VHS84n6328Xp6enU4TJv1HpPRVx2UaYkfcizvZ1OB7FYTCZJGanUZmkI/kvVjAi/2+1KKjYMQ0QK74hut9uV0SUid56R7vf7OD8/R7VanSolzHT/Li6aKRi4iCB63c7ODgDIMU0eQGO9ZUQx6lgzyClTMCCI4bMoWNeJYJnaOKbDM8VnZ2fY2dmREwk0EKP4Mp7tXSwHTKuu60onYJomms0m4vG4sEYEPxziJ7oHIM8VYRtHNYx4hdnAO0/GNE3wyL6+3W6jWq3i+Pj4L8oPQRgz7JUMzFronSjgWdVKpSKyHdO1d7SH6ScSiYhgQE6VAIgRyyEBbhi9k9OJ/X5fnkZTqVTw+eefS5vBSPAKEF4jX2bxdayFwIVzJxIJOaTtfR4VeWq+L0eZeIyUE6Nenphntxg0BKXePbYsa+ow/fn5OXZ2dtDr9abqOEvjZTTvS6Vo/sth87m5OXmeFYVqTlPQw8npcmOi0ahoyrwxIkmOvhIZeol5TlNyBvr8/Bzn5+cSOd6TDRTCGRmXPeFPwEdEzwNy4XAY2WwW+/v7MnlBsMjNJUcfDAYRDAZhGIbMnTFT0fE4tP717oAO0el00Ol0hMn7/PPPhbxha8oP70jvlSOYCJqol1+r6sWB6d3dXVSrVUm1rDVMJzQSJxGpoRJUeOeZqZd6D3XRq03TlDmnXC4HwzBgmqa81stcUb0yDOO5nlUJQDYxFAqJUWZmZmQOmtMnlA6JiOkUPFLDIT7vc0xYcujIXl0dgAwq8N9gMCgcAh2Ae0dBh3v9tNmzp8Y4DQd8VW+98H9lZQXdblfkrm+S6bwe7J2pojPQuAQ5/J3h8OLBaBQlRqOLh7iQFCCi/vqAO2sTSf/LLKZaTkUyEzHiVldXYRgGCoWCYAGWGu9QHJ2MY7hfP8/ErwnWSEW22210Oh1UKhW0Wi3MzMzIIym8JYcf3uDwnl9+bgMDF6qKd1TT+4ws6p6NRgPNZlPmtChIMFLZ7lAgAL56pAGlMiJlAEJFttttlMtlNJtNzM3NSb2bnZ0VR+EH0yaNy6xzmUUhpd1uY35+XtIoJzYBiGxaKpVQr9elS+D98l+qSnzcBdtDfgBfSa0Epa1WC7VaDfV6Hfl8Xo6qpFKpKe3d+0EHYoT/tXXzv65c83XzxPdrvm4MfM3XjYGv+box8DVfNwa+5uvGwNd8/X9FxH6pRns8vAAAAABJRU5ErkJggg==\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Cluster 89\n" ] }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Cluster 90\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Cluster 91\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Cluster 92\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Cluster 93\n" ] }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Cluster 94\n" ] }, { "data": { "image/png": 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msE7nGTO/q2fB/M/URgNmz5nRQ41cV1Iw6zgKroIklRhgzuDfPHgeitoL5e8Mb/yMqhRaJw9bHWlRD49hSuWRuVfOkl1Wwdw3lcRr88X3cKmy0chV2lWdGWNE4HtVWVmN0MDUNicVy+uzQuFeDcPAarUSo76ygkmYU7kM12Sazg/DqRatTjnQGwk8aCQqPwtAAJpai6qHqQ7T0YN4YOxccb+2bV9YPqgriiK0Wq0t8p4pR51OYQjnnik790+knWXZt1KVypaxO+W6LhaLhZA/PL+qqgScnp9mIV+vdu6uHaIXi4VckLmUPKmah2i53BytOM9zaf+x1agiUAIZWq7neXAcB2maYr1eYz6fo9lsbnGu6nCcSlGyZUcF7ezsfOfU5net5XIpyiEYYvmmYovzs2T0JOKG2WwmzRm2HVVeXM3Xnueh0WjIsEKWZQJgeS8Vl9DDVY9XmxfXVjCTfRRFW2015mMqRwUjRVFIhymKIgk1rOWYk3iIat7h5ISmaYiiCMvlcmuuSw2TtHAVvdIg2XS4zIqiSDpVbAeqigS+GRemQarpKQxDmfJgPa3OalHBak4m28XQPZ/PpaJQuXA6kopJOAfebDax2Wyur2DemF5EOpBhhyFX9SjgPeCYzWYYjUbS9mq1WhKmyfawZlWROBXmui7iOMbZ2Rl0Xd8a+eFBqV7Ez1FY1eM+tFarFWazmRAWNNharSZ7pgcyVNNzOVbEVih5eo4ZWZYF3/cFVzASqeWT7/uYz+dCj9KQeR8uAjkCV9d1EYbh9eeibdvGbDaTBr0aOlSygUpnKTSbzTAej5EkCebzuVjgcDgUpogKpbWvViucnZ1hMplIk4B04GKxEO5XPSC+GFrZ6WIH6yLLVhcnLEhyqDW26kn0Nt43jmOcnp5KC48DiePxGK9fv4au6+j3+2i1WkjTVDpOmqbh9PQUJycnCMNQaN3ZbAbHcaTfzHsxPDONEBtxhuyiduEHpyqZW9ThcBbctHCVjoyiSGaqyPAcHR0hz3P86U9/QlVV+PzzzxGGIfb29tBqtcTiv/zyS7x48QJ5nmMwGODx48fQdR1xHEtDn4cPQKYvOVHCUZ1GoyGNicsslhqcliRzpyJ0GhWNOc9zCc2maSIIAuR5jpcvX2KxWOCLL75AHMf47LPPsLe3h3fv3mFnZ0c6Uy9evMAXX3yBLMvw7Nkz/PznPxfQpPIFNGAOPnI6JssyjEYjLJfL6yuYiHW1Wm2NihLc1Ov1rVkrhvQ4jmHbNtrtthz227dvkSQJTk9PsVgs8Mknn6DdbiMIAtTrdUwmE7x+/RphGMpsUhAE0HVdBAMgHDjDlWrVy+USq9UKuq5jPB5fWD6oy7IspGkqpAPwDSXKpgHBEvC+xInjGLPZTBgzNkim0ymm0yn29/cxHA7xt7/9DScnJ+h0OjJ5kuc5jo+PsVqtsLu7i16vh0ajgfl8LqFc5es5pMeZrCiK5Jy/11QlQ9NyuRTBmTvJ/KjTjZvNBvP5HADEMy3LwmeffSZhqNVqYTKZ4O3btzg7O9squYIgwP3799FutwUFkxAgu8XygYwRAQcF5/gMgEs3/algAiyCmc1mg0ajgfV6LSUTAeF4PEaWZWKIeZ6j0Wjg008/BQAMBgMMBgO8efMGi8UCk8kEURRJPu90Onjy5Al2dnakp12v14WmZfQgqOL+OJdNbPAhnPHBdiEbBRyhoWUzyat5mBC+2WwKkGKu3t/fh+u6aLfbODw8lHKEOY8W7nme3J8kveM4AtzIaKlz1Groms/nSNNUmhWXWSpjRd6bHR1ey/M8AWD0KNd14fu+nAnR/97eHuI4lhYq2TiyVr7vy4C8OqlBpL5YLATrVFUlI8kcXOTZXWZdamyWHqPO/rZaLSlHmJPyPBfumGGcHt5qteC6rvQ1SUbwPpw81HVdSrM0TaVeDoIA6/UaYRgKGKL3UrkMWTS6qywO3PHnarXaoihZFjI90FjJsjGKcQiw2WxiPp9jf39fcAsjA/9mlEiSRIAV014YhlJqMTyr48gsuz40k3Whgt+9e4f79+9v8cB5nkuOZT6h97IrwnCm67pMfqRpKo15tQlBI1JrTxL9zP8cOuj3+5hMJphMJvB9fytEswulEjCXJTo2m43kUB4y90YiBXifntgjbjQa8H1fPJ/RjVMh7JTR0DnrzfYq05vruoKQec6tVgsnJycyokPn4gw1nY419bUV/Pz5c/T7faEQiWQZingg6iCYyi6d54PZSmQoVEM+JzOJvBk1GKooLEsOLpYRRJ1kydQ224dWFEUIgkDIFqYFDiQwipAqpZxqo50sEw+fgwBF8f5pC5U/ZlhWPVltebJ2ZoWSpqlgH8qk1vnXbhdy4PvevXtb5LsajlR0SfKblkYv43tpFAzhDDNqH5bKpeL4GT5GUhQFfN+X0grAVrNDbeNddoVhuDUyS4MmEaNOcQCQZvxkMhHemYPo9Xpd9mIY75+hWq1W8t/pIDw7AFL3O44jeVrTNHQ6HTEknhExDZWs/ryygu/fv4/hcChf4cDZI/UgmR8nk4nkE9VrCZrU+tmyLHlOiSGfJInastM0DXEciwcD70O453mwbVvCvEpZXqVNyHV0dCQph+NJHNpjynAcB+12G1mWCTlBOWn4TEmkcPkMV6/XQ6fTkXIziiIhf8jRkxkkjsjzHJ1OR0I7Gz7nO2rA9/Dgs7MzGIaB2Wwm0xUq4iTw8DxPABD53DRNcXZ2JiGPIZ6T/kSmZIDYkGDoBr7p8fL7M8hkkZggsDs/EkShrzJVyacXOFdNOYkXeKie58mzVtxfkiQ4PDzcSjHcs+u6sveyLEXJBE/ANx5Iw1WbDDxLKp2pR2UQL1oXKjgMQ7TbbUynU8zn861HM4l22aLzPE8mAKnM5XIp5AU9kIrll50AwHg8Fq9g96bZbGJnZwc7OztyP5YRPFTem5MRamsOuPiRDnXxaYXxeCzAiWGZi2xeq9WSAT8CQcdxcHp6iuPjY4RhKHmUI8ZU9nq9xnA43Hrkp9frYW9vD7u7u2Js6tQmKwpGRrWMPN98ubKC6aWmaeL09HRrLovKCMNQJgw5PMZZ6IODAzx9+hRnZ2cYjUZSo6Zpiul0ivF4LDnv/v374kEUkmBHnWogAcByDYCUSTQYKvqy4ZqNhNFotIVwVUYpjmNMJhMZAOS+GWabzSYeP36MMAzx1VdfYTweC0lSVZUg/yAI4Lou0jRFEATY29uTdKV6I8EVn3HiXPp5fKEOVlxZwRzX8X1/K+Ry3IZ5iA0CdQyUeYgzzSQxOALK8MNwzIl99qDVCUkqjApdr9eYTqeCwGezGU5OTiSHcl0WaDEqTadTDIdDiUBqm48ex1Yf8y6fG2YvuNfrYX9/Xz4ThqGkHtb9DK9sbbLyoHdSaUxd6kPf3yXXtXMw3Z/CLhYLCdW0ej4FSGByfjyUiiG1xpDDmpreSTpOHS4jOlenCnkt5j8aHqlKthUvk5+4OOzGbxdgNFIrBiJ50pacHCXFSHJiMpnA8zx0u110Oh3s7+9LCmGdzrRC+pLjQGrUYEgmixhFkdDD6iTN9wrRwDdjoo7jIIoijMdjCaOO40gtmCTJ1vyQOrJCY1ksFtB1XZ6fPT9fzRBEkHF+LJcCkYQA3gPBo6MjWJaF6XQq7Uga5WUWFeW6rqBkKpCKZogkkmXEoiExZMdxjDAMMR6PcXR0JMPuNEpWEjRQGr7aqeM0DJVPAyYFzPNQlX0tBdPa1FJhuVxKE54sC0dA6ZEkBlSr5JOJ7JaweaAODtDC6/X6Vj2pGhtROkmS58+fC0uWZRkODw/h+77MPF1WwTx8PlP07t07GQxkZGLKYepiOuKjMnzqgGGV+ZNKpCJpyETczOk8Cw4CLJdLLBYLjMdjrNdrvHnzRvI1o4g6cHhlBVPJACT30EKJEtV6jqS6WkrRC1kvs6Rh+OMB01h0XZfrqquqKgEbzL3Hx8c4Pj7+Vu6Kokjy5WUWvYc1Odt+3LP69Q2qIau1PWVqt9syxMAH2NWUwQjHFKQ2+EnwkNSJ4xhv3rxBFEXy7QFJksA0TfnuE/Wrmq6l4F6vJxdg9yQMQwyHQ/k6BxIOVK7aRVKRLxVJD2R9yTDDb9azbXvrQEh+cDZMJd7VXKvWwfzMZRb35jiOPDmZ5zmGw6HgiG63CwBywETQajrhT9d10el0ZKaM3kiDYxnEe/KMGEnYdn39+jVevXolA3wqBkmSBGEYIggC2duVFaxpGg4ODgQomaYpiHo2m+HVq1cAIB0TtTlOr+W34jBn1mo1eWJAfalTlzQIKp41L8Mzh+PVMR4qite+yiKQ4pemsLSZz+c4Pj5GURR4+vQpOp3O1rgv78sBOgAiJ+fI+NzxcrmUcyQwo6IZ7tXwfHJygj//+c8AsNX6VNuILDknk8n1FFyr1dDv9+V3TdOkS8LxkpcvX6IsSwwGA0F5fASUn2s0GnLopCNVa1TDFhXFFwfbeEjz+Vx4bABiTGo4VpmgyyzWkQRV7CKx/h0OhwCAe/fuSWhVe8Pq5CSjElMNz4T9XHIL3CPLJMuy5Dnk2WyG4XCIOI4lrfGa5x8qYGq5loLZ8+QwGclwTnSQCH/+/LkQ/wzpZK7YWqOFEk2e549JxHO0Vh2HZW+YZYXrumLF6uMsqgGpTYwPLTUfMsSS/yVIGg6HEnJV1MvpCwDyFU9ceZ5vfbUhow09uVaryTO/lH+xWGA2m8nXZDBiUDamJDrAeeM+v+7+ryu3fN194/stX3cKvuXrTsG3fN0p+JavOwXf8nWn4Fu+/g93AlNgF2XPxgAAAABJRU5ErkJggg==\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Cluster 95\n" ] }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Cluster 96\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Cluster 97\n" ] }, { "data": { "image/png": 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UF/PiONbJymAwII5jrb9NaizVofD+J9X2EwGXgzWbTWVT+/v7PHjwgP39fVqtlr7UIwfs9/tKc83p6W8NH4TCCoGZz+faV5/P51y+fJk4jlealJJJxF2EQ0igFEGfGrg57RC/lYlls9lUSlpVlbK0siw5PDwkCAKazeYK2ZF3aszWsETuNE3J81wZIcB3333Hzs6OZgjzdTDp7cnYSgjRn0JgzA3EnKSl1Ov1aDabtFotDg8PmU6nRFGk5WVd10peJOfbts3R0dHKINLk+tJpzbKM69evc+nSJQ4ODlQJ4npigfLygfl2tVlLPBbbSUHg/+t6bv+Hwgvgz9t6Afx5W88t8P8FW90g7dz9kkoAAAAASUVORK5CYII=\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Cluster 98\n" ] }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Cluster 99\n" ] }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Cluster 100\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Cluster 101\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Cluster 102\n" ] }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Cluster 103\n" ] }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Cluster 104\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Cluster 105\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Cluster 106\n" ] }, { "data": { "image/png": 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FCrWipyTd5/XUR7cg6LIskWUZLi8vhZTQ//W3lClMjrH5EsLbui/A+/+F9PDWe+APbb0H/tDWgwX+f3RRxuIsfBdEAAAAAElFTkSuQmCC\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Cluster 107\n" ] }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Cluster 108\n" ] }, { "data": { "image/png": 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TBRHp3eVPCT9RbtcmKdPpVONpdTQsPHwymejsez6fa8LzPE+TjoSI8Hb5noTFcDjU6iEZPssybUPTNMX3fRUVRKTwfZ9Go0EURWxsbCjoKIo4Pz8HeK0C81rgZ2dnWnLkQECSJNqoSOzL7ooiG0WRGsm2bS1Rwo89zwOu+P5wOFT3lnmXGKrT6VAqlXS6YpomSZKwtbXFZDLBsiwMwyAMQwV9eXmpc7u1O7dnz57peMe2bU0WaZpqghOrX15ekqYpJycn+L5PURTaRzcaDe2lhZ+Px2NtPnzfp16vk6apLjaOY4IgoFQqMRqNVGba3NwkjuNr3lOpVPTfL1++1Jne2iTF8zz6/b7KSeL6k8lEd78oCsbjsepso9GISqWiJCUMQy4vL9WdkyRRQiLhI6xNBo6S8Pb29uj3+0ynU2V1zWZT21EZRHieR6VSYTabEccx8/kcz/PWL2dRFHFycoLrulqSpI0UUS8MQzzP0x1tt9t89NFHSiakFqdpynQ61WmHTE5FiBAxotPpsLW1xe7urk5HWq0Wn332mSq0rusSBAHNZpM8zxkMBti2rTssTdTa0pPEmxy9iONYpd3pdEqj0aBarapLVioVbt26xeHhIfV6XYlDp9PBNE2CICAIAtI0ZT6fK8WVrAwo93ddV4nN7u4u4/GY0Wik2prsqmVZzOdzlbUBNeTaMe55niYKYVNhGF47+bTaxJTLZe7cuaPqqoyHwzDUob3Q2jzPdceFawuXLpVKaiTTNGm1WmxubmpXFoYhpVJJ7y+8QQ4wiD63dgMjJCQIAq3Ty+VS1VDh5KvtofTWorLKqaY4jplMJtdAyu6LDCWnn+RklZCRJEn0uFiWZcznc6rVqh4kWD0gJPS1UqmsH+PStcl5ktXaOhqNrnVNwDUlRIwi/bPEdq1W05GQUFnR0CTRSfsrE9T5fK4NiiRBOYKyWmqFRruuSxiGeojoKwMHlOsKy5JTC+Ja0oNLHRYiIkKFGEbCQo5vSEmUhCU6neu6SlHzPMd1XTWsZGyJ3SiK9HdRFGnPLj3D2sBFH5PM7Pu+ZvLVjCmjouVyycnJCXEcs7GxwWKx0D4f0N+Lx8gujkYjjX3ZZfEUx3F0l5Mk0ewtcS5nYcSIEhqrYsdXBl6v1xmPxwBK9ldFCQkD8Yg4jhmPx6rMJkmi0xURAE3TpF6vA1wzoNxPTjAJEalWq5pQ5T5SSWSiIsqNHCpcPYy4FvBV2Xf1lKJlWUogJHNKHEq7maYpjuMwHo+VgvZ6Pf2+CBLn5+fs7OzouEnGSsPhEMMwuLi4uOY59Xqd2WzG5uam6gNyskrmeaIdvO76f8rLcBXnktXF2lmWXRP6RCurVqsqSsiuVioVut0ujuNgWRadTocwDGk0GuR5ru69egZGEqKoKnLES3ZYQMv0VLxv9bjp2jG+OoaJokjdWbKoPFxKVp7nSl1X21IhMXA11AcYjUYqQMr5FjnyBVce5Pu+UlTXdZUeS5zLxmxubuI4joaN5IS1XX1vb08tmuc5tVpNRQIZwAtvlr9Xq1VtdCQGRZKSBW1sbDCdTplMJqRpqgDSNGV7e5swDLm4uKAoCtrtNpVKRT1oPp9Tq9WYTqfXOr533nlHDWcYBrPZTHPJl13f/C+kt+36Bvjbdn0D/G273lrg/wdzm1fNrl7bqQAAAABJRU5ErkJggg==\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Cluster 109\n" ] }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Cluster 110\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Cluster 111\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Cluster 112\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Cluster 113\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Cluster 114\n" ] }, { "data": { "image/png": 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RYL1e4+3bt7i6upIXBPh8ldj8mJuraO+TBWecpWmKd+/eyZtMp6enMtcixUQBaXUu1YpsQtiJ8buEqwQoRHZv3rzBu3fvpAMj76aSEjxLHWHTCA8lt6//F9JTW18Ff2rrq+BPbT1Zwf8POihpEGpaA6QAAAAASUVORK5CYII=\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Cluster 115\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Cluster 116\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Cluster 117\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Cluster 118\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Cluster 119\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "def plot_faces(faces, labels, n_cols=5):\n", " faces = faces.reshape(-1, 64, 64)\n", " n_rows = (len(faces) - 1) // n_cols + 1\n", " plt.figure(figsize=(n_cols, n_rows * 1.1))\n", " for index, (face, label) in enumerate(zip(faces, labels)):\n", " plt.subplot(n_rows, n_cols, index + 1)\n", " plt.imshow(face, cmap=\"gray\")\n", " plt.axis(\"off\")\n", " plt.title(label)\n", " plt.show()\n", "\n", "for cluster_id in np.unique(best_model.labels_):\n", " print(\"Cluster\", cluster_id)\n", " in_cluster = best_model.labels_==cluster_id\n", " faces = X_train[in_cluster]\n", " labels = y_train[in_cluster]\n", " plot_faces(faces, labels)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "About 2 out of 3 clusters are useful: that is, they contain at least 2 pictures, all of the same person. However, the rest of the clusters have either one or more intruders, or they have just a single picture.\n", "\n", "Clustering images this way may be too imprecise to be directly useful when training a model (as we will see below), but it can be tremendously useful when labeling images in a new dataset: it will usually make labelling much faster." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 11. Using Clustering as Preprocessing for Classification" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "*Exercise: Continuing with the Olivetti faces dataset, train a classifier to predict which person is represented in each picture, and evaluate it on the validation set.*" ] }, { "cell_type": "code", "execution_count": 199, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "0.925" ] }, "execution_count": 199, "metadata": {}, "output_type": "execute_result" } ], "source": [ "from sklearn.ensemble import RandomForestClassifier\n", "\n", "clf = RandomForestClassifier(n_estimators=150, random_state=42)\n", "clf.fit(X_train_pca, y_train)\n", "clf.score(X_valid_pca, y_valid)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "*Exercise: Next, use K-Means as a dimensionality reduction tool, and train a classifier on the reduced set.*" ] }, { "cell_type": "code", "execution_count": 200, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "0.7" ] }, "execution_count": 200, "metadata": {}, "output_type": "execute_result" } ], "source": [ "X_train_reduced = best_model.transform(X_train_pca)\n", "X_valid_reduced = best_model.transform(X_valid_pca)\n", "X_test_reduced = best_model.transform(X_test_pca)\n", "\n", "clf = RandomForestClassifier(n_estimators=150, random_state=42)\n", "clf.fit(X_train_reduced, y_train)\n", " \n", "clf.score(X_valid_reduced, y_valid)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Yikes! That's not better at all! Let's see if tuning the number of clusters helps." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "*Exercise: Search for the number of clusters that allows the classifier to get the best performance: what performance can you reach?*" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We could use a `GridSearchCV` like we did earlier in this notebook, but since we already have a validation set, we don't need K-fold cross-validation, and we're only exploring a single hyperparameter, so it's simpler to just run a loop manually:" ] }, { "cell_type": "code", "execution_count": 201, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "5 0.3875\n", "10 0.575\n", "15 0.6\n", "20 0.6625\n", "25 0.6625\n", "30 0.6625\n", "35 0.675\n", "40 0.75\n", "45 0.7375\n", "50 0.725\n", "55 0.7125\n", "60 0.7125\n", "65 0.7375\n", "70 0.7375\n", "75 0.7375\n", "80 0.7875\n", "85 0.7625\n", "90 0.75\n", "95 0.7125\n", "100 0.775\n", "105 0.75\n", "110 0.725\n", "115 0.7625\n", "120 0.7\n", "125 0.75\n", "130 0.725\n", "135 0.7375\n", "140 0.7625\n", "145 0.6875\n" ] } ], "source": [ "from sklearn.pipeline import Pipeline\n", "\n", "for n_clusters in k_range:\n", " pipeline = Pipeline([\n", " (\"kmeans\", KMeans(n_clusters=n_clusters, random_state=42)),\n", " (\"forest_clf\", RandomForestClassifier(n_estimators=150, random_state=42))\n", " ])\n", " pipeline.fit(X_train_pca, y_train)\n", " print(n_clusters, pipeline.score(X_valid_pca, y_valid))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Oh well, even by tuning the number of clusters, we never get beyond 80% accuracy. Looks like the distances to the cluster centroids are not as informative as the original images." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "*Exercise: What if you append the features from the reduced set to the original features (again, searching for the best number of clusters)?*" ] }, { "cell_type": "code", "execution_count": 202, "metadata": {}, "outputs": [], "source": [ "X_train_extended = np.c_[X_train_pca, X_train_reduced]\n", "X_valid_extended = np.c_[X_valid_pca, X_valid_reduced]\n", "X_test_extended = np.c_[X_test_pca, X_test_reduced]" ] }, { "cell_type": "code", "execution_count": 203, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "0.8125" ] }, "execution_count": 203, "metadata": {}, "output_type": "execute_result" } ], "source": [ "clf = RandomForestClassifier(n_estimators=150, random_state=42)\n", "clf.fit(X_train_extended, y_train)\n", "clf.score(X_valid_extended, y_valid)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "That's a bit better, but still worse than without the cluster features. The clusters are not useful to directly train a classifier in this case (but they can still help when labelling new training instances)." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 12. A Gaussian Mixture Model for the Olivetti Faces Dataset" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "*Exercise: Train a Gaussian mixture model on the Olivetti faces dataset. To speed up the algorithm, you should probably reduce the dataset's dimensionality (e.g., use PCA, preserving 99% of the variance).*" ] }, { "cell_type": "code", "execution_count": 204, "metadata": {}, "outputs": [], "source": [ "from sklearn.mixture import GaussianMixture\n", "\n", "gm = GaussianMixture(n_components=40, random_state=42)\n", "y_pred = gm.fit_predict(X_train_pca)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "*Exercise: Use the model to generate some new faces (using the `sample()` method), and visualize them (if you used PCA, you will need to use its `inverse_transform()` method).*" ] }, { "cell_type": "code", "execution_count": 205, "metadata": {}, "outputs": [], "source": [ "n_gen_faces = 20\n", "gen_faces_reduced, y_gen_faces = gm.sample(n_samples=n_gen_faces)\n", "gen_faces = pca.inverse_transform(gen_faces_reduced)" ] }, { "cell_type": "code", "execution_count": 206, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plot_faces(gen_faces, y_gen_faces)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "*Exercise: Try to modify some images (e.g., rotate, flip, darken) and see if the model can detect the anomalies (i.e., compare the output of the `score_samples()` method for normal images and for anomalies).*" ] }, { "cell_type": "code", "execution_count": 207, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "n_rotated = 4\n", "rotated = np.transpose(X_train[:n_rotated].reshape(-1, 64, 64), axes=[0, 2, 1])\n", "rotated = rotated.reshape(-1, 64*64)\n", "y_rotated = y_train[:n_rotated]\n", "\n", "n_flipped = 3\n", "flipped = X_train[:n_flipped].reshape(-1, 64, 64)[:, ::-1]\n", "flipped = flipped.reshape(-1, 64*64)\n", "y_flipped = y_train[:n_flipped]\n", "\n", "n_darkened = 3\n", "darkened = X_train[:n_darkened].copy()\n", "darkened[:, 1:-1] *= 0.3\n", "y_darkened = y_train[:n_darkened]\n", "\n", "X_bad_faces = np.r_[rotated, flipped, darkened]\n", "y_bad = np.concatenate([y_rotated, y_flipped, y_darkened])\n", "\n", "plot_faces(X_bad_faces, y_bad)" ] }, { "cell_type": "code", "execution_count": 208, "metadata": {}, "outputs": [], "source": [ "X_bad_faces_pca = pca.transform(X_bad_faces)" ] }, { "cell_type": "code", "execution_count": 209, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([-2.43643267e+07, -1.89785012e+07, -3.78112367e+07, -4.98187629e+07,\n", " -3.20479020e+07, -1.37531267e+07, -2.92373870e+07, -1.05489069e+08,\n", " -1.19575421e+08, -6.74256883e+07])" ] }, "execution_count": 209, "metadata": {}, "output_type": "execute_result" } ], "source": [ "gm.score_samples(X_bad_faces_pca)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The bad faces are all considered highly unlikely by the Gaussian Mixture model. Compare this to the scores of some training instances:" ] }, { "cell_type": "code", "execution_count": 210, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([1163.02020926, 1134.03637965, 1156.32132746, 1170.67602789,\n", " 1141.45404798, 1154.352051 , 1091.32894399, 1111.4114952 ,\n", " 1096.43049058, 1132.98982659])" ] }, "execution_count": 210, "metadata": {}, "output_type": "execute_result" } ], "source": [ "gm.score_samples(X_train_pca[:10])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 13. Using Dimensionality Reduction Techniques for Anomaly Detection" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "*Exercise: Some dimensionality reduction techniques can also be used for anomaly detection. For example, take the Olivetti faces dataset and reduce it with PCA, preserving 99% of the variance. Then compute the reconstruction error for each image. Next, take some of the modified images you built in the previous exercise, and look at their reconstruction error: notice how much larger the reconstruction error is. If you plot a reconstructed image, you will see why: it tries to reconstruct a normal face.*" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We already reduced the dataset using PCA earlier:" ] }, { "cell_type": "code", "execution_count": 211, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([[ 3.78082728e+00, -1.85479510e+00, -5.14403820e+00, ...,\n", " -1.35639057e-01, -2.14079842e-01, 6.11891970e-02],\n", " [ 1.01488552e+01, -1.52754760e+00, -7.66972005e-01, ...,\n", " 1.23932086e-01, -1.35267869e-01, -2.32773516e-02],\n", " [-1.00152864e+01, 2.87729192e+00, -9.19888794e-01, ...,\n", " 7.26092011e-02, -2.96637439e-03, 1.24891117e-01],\n", " ...,\n", " [ 2.47586942e+00, 2.95597434e+00, 1.29985297e+00, ...,\n", " -2.09175814e-02, 3.48586701e-02, -1.54327601e-01],\n", " [-3.22031736e+00, 5.34898043e+00, 1.39426994e+00, ...,\n", " 5.75454161e-02, -2.28316277e-01, 1.55572280e-01],\n", " [-9.22876596e-01, -3.64703155e+00, 2.26088214e+00, ...,\n", " 1.36855245e-01, -6.91372752e-02, 6.26810342e-02]], dtype=float32)" ] }, "execution_count": 211, "metadata": {}, "output_type": "execute_result" } ], "source": [ "X_train_pca" ] }, { "cell_type": "code", "execution_count": 212, "metadata": {}, "outputs": [], "source": [ "def reconstruction_errors(pca, X):\n", " X_pca = pca.transform(X)\n", " X_reconstructed = pca.inverse_transform(X_pca)\n", " mse = np.square(X_reconstructed - X).mean(axis=-1)\n", " return mse" ] }, { "cell_type": "code", "execution_count": 213, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "0.0001920535" ] }, "execution_count": 213, "metadata": {}, "output_type": "execute_result" } ], "source": [ "reconstruction_errors(pca, X_train).mean()" ] }, { "cell_type": "code", "execution_count": 214, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "0.004707354" ] }, "execution_count": 214, "metadata": {}, "output_type": "execute_result" } ], "source": [ "reconstruction_errors(pca, X_bad_faces).mean()" ] }, { "cell_type": "code", "execution_count": 215, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "X_bad_faces_reconstructed = pca.inverse_transform(X_bad_faces_pca)\n", "plot_faces(X_bad_faces_reconstructed, y_bad)" ] }, { "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": "3.7.10" } }, "nbformat": 4, "nbformat_minor": 4 }